From 6afb9d780aa1a8c143753e87deef90deaea50b51 Mon Sep 17 00:00:00 2001 From: Tesshub Date: Fri, 24 Jul 2026 14:58:06 +0200 Subject: [PATCH 1/7] =?UTF-8?q?=F0=9F=90=9B=E2=9C=85=20fix=20vertex=20coun?= =?UTF-8?q?t=20fallback=20and=20support=20all=20shading=20surface=20types?= =?UTF-8?q?=20in=20plot=5Fidf=5Fgeometry?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- energytool/tools.py | 34 ++++++++++--- tests/test_tools.py | 113 ++++++++++++++++++++++++++++++++++++++++++++ 2 files changed, 141 insertions(+), 6 deletions(-) diff --git a/energytool/tools.py b/energytool/tools.py index f77bf37..c234b9c 100644 --- a/energytool/tools.py +++ b/energytool/tools.py @@ -152,7 +152,8 @@ def plot_idf_geometry( Display FenestrationSurface:Detailed objects. show_shading_surfaces : bool, default=True - Display Shading:Zone:Detailed objects. + Display Shading:Zone:Detailed, Shading:Building:Detailed and + Shading:Site:Detailed objects. show_names : bool, default=False Display labels on the geometry. @@ -238,7 +239,19 @@ def plot_idf_geometry( _label_traces = [] def get_vertices(surface): - n_vertices = int(surface.Number_of_Vertices) + # "Number of Vertices" defaults to "autocalculate" in the E+ IDD and is + # frequently left blank by IDF generators (e.g. Honeybee/OpenStudio + # exports), so it can't always be relied upon: fall back to counting + # the actually populated Vertex_i_Xcoordinate fields in that case. + try: + n_vertices = int(surface.Number_of_Vertices) + except (TypeError, ValueError): + n_vertices = 0 + while getattr(surface, f"Vertex_{n_vertices + 1}_Xcoordinate", "") not in ( + "", + None, + ): + n_vertices += 1 return np.array( [ @@ -462,10 +475,19 @@ def get_building_surface_group(surface): ) if show_shading_surfaces: - for surface in building.idf.idfobjects["SHADING:ZONE:DETAILED"]: - add_surface( - get_vertices(surface), "shading", "Shading", SHADING_COLOR, surface.Name, - ) + # Zone-attached (e.g. overhangs, fins), building-attached (e.g. PV + # panels, balcony railings) and site-attached (e.g. neighbouring + # building masks) shading surfaces all share the same vertex-list + # schema. + for shading_key in ( + "SHADING:ZONE:DETAILED", + "SHADING:BUILDING:DETAILED", + "SHADING:SITE:DETAILED", + ): + for surface in building.idf.idfobjects[shading_key]: + add_surface( + get_vertices(surface), "shading", "Shading", SHADING_COLOR, surface.Name, + ) for key, group in groups.items(): fig.add_trace( diff --git a/tests/test_tools.py b/tests/test_tools.py index 43657b5..85966e4 100644 --- a/tests/test_tools.py +++ b/tests/test_tools.py @@ -306,3 +306,116 @@ def test_opacity(self, geo_building): fig = tl.plot_idf_geometry(geo_building, opacity=0.3) mesh_traces = [t for t in fig.data if isinstance(t, go.Mesh3d)] assert all(t.opacity == 0.3 for t in mesh_traces) + + +@pytest.fixture(scope="module") +def geo_building_blank_num_vertices(): + """Mimics IDF generators (e.g. Honeybee/OpenStudio) that commonly leave + "Number of Vertices" unset, relying on EnergyPlus's own autocalculation + rather than eppy's.""" + try: + IDF.setiddname(RESOURCES_PATH / "Energy+.idd") + except eppy.modeleditor.IDDAlreadySetError: + pass + + idf = IDF(StringIO("")) + idf.idfname = None + + idf.newidfobject(key="Zone", Name="ConditionedZone") + + def add_surface(obj_type, name, vertices, num_vertices_value, **attrs): + s = idf.newidfobject(key=obj_type, Name=name) + for k, v in attrs.items(): + setattr(s, k, v) + if num_vertices_value is not None: + s.Number_of_Vertices = num_vertices_value + for idx, (x, y, z) in enumerate(vertices, start=1): + setattr(s, f"Vertex_{idx}_Xcoordinate", x) + setattr(s, f"Vertex_{idx}_Ycoordinate", y) + setattr(s, f"Vertex_{idx}_Zcoordinate", z) + return s + + # left at the IDD default ("autocalculate"), as when the field is never touched + add_surface( + "BuildingSurface:Detailed", "ExtWall", + [(0, 0, 0), (3, 0, 0), (3, 0, 3), (0, 0, 3)], + None, + Surface_Type="Wall", + Outside_Boundary_Condition="Outdoors", + Zone_Name="ConditionedZone", + ) + # explicitly blank, as found in some Honeybee-exported IDF text files + add_surface( + "Shading:Zone:Detailed", "Overhang1", + [(-0.5, 0, 2.5), (2.5, 0, 2.5), (2.5, -1, 2.5), (-0.5, -1, 2.5)], + "", + ) + + return FakeBuilding(idf) + + +class TestPlotIdfGeometryBlankNumVertices: + def test_does_not_raise_and_infers_vertex_count(self, geo_building_blank_num_vertices): + fig = tl.plot_idf_geometry(geo_building_blank_num_vertices) + assert isinstance(fig, go.Figure) + + mesh_traces = [t for t in fig.data if isinstance(t, go.Mesh3d)] + # 4 vertices per surface (wall + shading), correctly inferred despite + # a missing/blank "Number of Vertices" field + assert len(mesh_traces) == 2 + assert all(len(t.x) == 4 for t in mesh_traces) + + +@pytest.fixture(scope="module") +def geo_building_mixed_shading(): + """Honeybee/OpenStudio exports commonly represent context shading (PV + panels, balcony railings, neighbouring building masks) as + Shading:Building:Detailed / Shading:Site:Detailed rather than + Shading:Zone:Detailed.""" + try: + IDF.setiddname(RESOURCES_PATH / "Energy+.idd") + except eppy.modeleditor.IDDAlreadySetError: + pass + + idf = IDF(StringIO("")) + idf.idfname = None + + def add_surface(obj_type, name, vertices): + s = idf.newidfobject(key=obj_type, Name=name) + s.Number_of_Vertices = len(vertices) + for idx, (x, y, z) in enumerate(vertices, start=1): + setattr(s, f"Vertex_{idx}_Xcoordinate", x) + setattr(s, f"Vertex_{idx}_Ycoordinate", y) + setattr(s, f"Vertex_{idx}_Zcoordinate", z) + return s + + add_surface( + "Shading:Zone:Detailed", "Overhang1", + [(-0.5, 0, 2.5), (2.5, 0, 2.5), (2.5, -1, 2.5), (-0.5, -1, 2.5)], + ) + add_surface( + "Shading:Building:Detailed", "PVPanel1", + [(0, -0.5, 1), (3, -0.5, 1), (3, -0.5, 2), (0, -0.5, 2)], + ) + add_surface( + "Shading:Site:Detailed", "NeighbourMask1", + [(10, 0, 0), (10, 10, 0), (10, 10, 8), (10, 0, 8)], + ) + + return FakeBuilding(idf) + + +class TestPlotIdfGeometryMixedShading: + def test_all_shading_types_are_displayed(self, geo_building_mixed_shading): + fig = tl.plot_idf_geometry(geo_building_mixed_shading) + + shading_traces = [t for t in fig.data if isinstance(t, go.Mesh3d) and t.name == "Shading"] + assert len(shading_traces) == 1 + + names = set(shading_traces[0].text) + assert names == {"Overhang1", "PVPanel1", "NeighbourMask1"} + assert len(shading_traces[0].x) == 12 # 3 surfaces x 4 vertices + + def test_hide_shading_hides_all_types(self, geo_building_mixed_shading): + fig = tl.plot_idf_geometry(geo_building_mixed_shading, show_shading_surfaces=False) + assert not any(isinstance(t, go.Mesh3d) and t.name == "Shading" for t in fig.data) From 15a0ba901c43b55d38be931f79b6d174f3fe48ee Mon Sep 17 00:00:00 2001 From: Tesshub Date: Fri, 21 Aug 2026 11:51:43 +0200 Subject: [PATCH 2/7] =?UTF-8?q?=E2=9C=A8=E2=9C=85=20add=20eggcrate=20shadi?= =?UTF-8?q?ng=20geometry=20and=20non-uniform=20louver=20positions/tilts?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Co-Authored-By: Claude Sonnet 5 --- energytool/modifier.py | 344 ++++++++++++++++++++++++++--------------- tests/test_modifier.py | 86 +++++++++++ 2 files changed, 305 insertions(+), 125 deletions(-) diff --git a/energytool/modifier.py b/energytool/modifier.py index d2be7fc..682c512 100644 --- a/energytool/modifier.py +++ b/energytool/modifier.py @@ -835,15 +835,48 @@ def set_shading_geometry( - ``Depth`` (m, default 0.5): depth of each louver. - ``Spacing`` (m, default 0.25): vertical distance between louvers. + Ignored if ``Positions`` is provided. - ``Tilt`` (°, default 0): tilt of the louvers (0 = horizontal plane). + Ignored (per-louver) if ``Tilts`` is provided. - ``Offset`` (m, default 0): horizontal gap between the louver and the wall. + - ``Positions`` (list[m], default None): explicit vertical offsets + (measured downward from the top edge of the window) at which to + place each louver. Overrides ``Spacing`` and allows a non-uniform + (e.g. denser near eye level) distribution. + - ``Tilts`` (float or list[°], default None): per-louver tilt angle(s). + A single value applies to every louver; a list must match the + number of louvers (either ``len(Positions)`` or the number derived + from ``Spacing``). Overrides ``Tilt``. ``"vertical_louvers"`` Vertical slats distributed over the window width. - ``Depth`` (m, default 0.5): depth of each louver. - ``Spacing`` (m, default 0.30): horizontal distance between louvers. + Ignored if ``Positions`` is provided. - ``Tilt`` (°, default 0): tilt of the louvers (0 = perpendicular to wall). + Ignored (per-louver) if ``Tilts`` is provided. + - ``Positions`` (list[m], default None): explicit horizontal offsets + (measured from the left edge of the window) at which to place each + louver. Overrides ``Spacing``. + - ``Tilts`` (float or list[°], default None): per-louver tilt angle(s), + same semantics as for ``"horizontal_louvers"``. Overrides ``Tilt``. + + ``"eggcrate"`` + Crossed grid of horizontal and vertical louvers (a "caisson" / + egg-crate brise-soleil), combining both patterns above on the same + window. Each direction has its own independent parameters, suffixed + ``_H`` (horizontal louvers) and ``_V`` (vertical louvers): + + - ``Depth_H``, ``Spacing_H``, ``Tilt_H``, ``Offset_H``, + ``Positions_H``, ``Tilts_H`` — same meaning as the corresponding + keys of ``"horizontal_louvers"``. + - ``Depth_V``, ``Spacing_V``, ``Tilt_V``, ``Positions_V``, + ``Tilts_V`` — same meaning as the corresponding keys of + ``"vertical_louvers"``. + + Defaults: ``Depth_H=Depth_V=0.5``, ``Spacing_H=0.25``, + ``Spacing_V=0.30``, ``Tilt_H=Tilt_V=0``, ``Offset_H=0``. Parameters ---------- @@ -852,7 +885,7 @@ def set_shading_geometry( shading_type : str Type of shading geometry to create. Must be one of ``"overhang"``, ``"sidefins"``, ``"horizontal_louvers"``, - ``"vertical_louvers"``. + ``"vertical_louvers"``, ``"eggcrate"``. description : dict, optional Parameter overrides for the chosen shading type. Only keys that exist in the default parameters are meaningful. @@ -880,11 +913,28 @@ def set_shading_geometry( "Spacing": 0.25, "Tilt": 0, "Offset": 0, + "Positions": None, + "Tilts": None, }, "vertical_louvers": { "Depth": 0.5, "Spacing": 0.30, "Tilt": 0, + "Positions": None, + "Tilts": None, + }, + "eggcrate": { + "Depth_H": 0.5, + "Spacing_H": 0.25, + "Tilt_H": 0, + "Offset_H": 0, + "Positions_H": None, + "Tilts_H": None, + "Depth_V": 0.5, + "Spacing_V": 0.30, + "Tilt_V": 0, + "Positions_V": None, + "Tilts_V": None, }, } @@ -995,13 +1045,125 @@ def create_shading_surface( **kwargs, ) + def create_horizontal_louvers( + depth, + spacing, + tilt, + offset, + positions, + tilts, + top_1, + top_2, + height, + normal, + name_prefix, + base_surface_name, + ): + vertical = np.array([0.0, 0.0, 1.0]) + + if positions is not None: + z_positions = np.asarray(positions, dtype=float) + else: + z_positions = np.arange(0, height + 1e-6, spacing) + + if tilts is not None: + tilt_values = ( + [tilts] * len(z_positions) + if np.isscalar(tilts) + else list(tilts) + ) + else: + tilt_values = [tilt] * len(z_positions) + + for i, (z_offset, tilt_deg) in enumerate(zip(z_positions, tilt_values)): + tilt_rad = np.deg2rad(tilt_deg) + louver_direction = ( + np.cos(tilt_rad) * normal + - np.sin(tilt_rad) * vertical + ) + + p1_louver = top_1 - np.array([0, 0, z_offset]) + offset * normal + p2_louver = top_2 - np.array([0, 0, z_offset]) + offset * normal + + q1 = p1_louver + depth * louver_direction + q2 = p2_louver + depth * louver_direction + + create_shading_surface( + f"{name_prefix}_{i}", + [p1_louver, p2_louver, q2, q1], + base_surface_name, + ) + + def create_vertical_louvers( + depth, + spacing, + tilt, + positions, + tilts, + top_1, + top_2, + bottom_1, + width, + normal, + name_prefix, + base_surface_name, + ): + edge_vector = top_2 - top_1 + edge_vector = edge_vector / np.linalg.norm(edge_vector) + + horizontal_normal = normal.copy() + horizontal_normal[2] = 0.0 + horizontal_normal /= np.linalg.norm(horizontal_normal) + + vertical = np.array([0.0, 0.0, 1.0]) + local_right = np.cross(vertical, horizontal_normal) + local_right /= np.linalg.norm(local_right) + + if positions is not None: + x_positions = np.asarray(positions, dtype=float) + else: + n_louvers = int(np.floor(width / spacing)) + occupied_width = n_louvers * spacing + margin = (width - occupied_width) / 2 + x_positions = np.arange(margin, width - margin + 1e-6, spacing) + + if tilts is not None: + tilt_values = ( + [tilts] * len(x_positions) + if np.isscalar(tilts) + else list(tilts) + ) + else: + tilt_values = [tilt] * len(x_positions) + + for i, (x_offset, tilt_deg) in enumerate(zip(x_positions, tilt_values)): + tilt_rad = np.deg2rad(tilt_deg) + louver_direction = ( + np.cos(tilt_rad) * horizontal_normal + + np.sin(tilt_rad) * local_right + ) + + offset_vector = x_offset * edge_vector + + p_bottom = bottom_1 + offset_vector + p_top = top_1 + offset_vector + + q_bottom = p_bottom + depth * louver_direction + q_top = p_top + depth * louver_direction + + create_shading_surface( + f"{name_prefix}_{i}", + [p_bottom, q_bottom, q_top, p_top], + base_surface_name, + ) + for window in windows: delete_existing_shading(window.Name) vertices = get_vertices(window) p1, p2, p3, p4 = vertices normal = get_outward_normal(vertices) - depth = params["Depth"] + depth = params.get("Depth") top_1, top_2 = get_top_edge(vertices) bottom_1, bottom_2 = get_bottom_edge(vertices) @@ -1087,139 +1249,70 @@ def create_shading_surface( elif shading_type == "horizontal_louvers": - spacing = params["Spacing"] - offset = params["Offset"] - tilt = np.deg2rad(params["Tilt"]) - - vertical = np.array([0.0, 0.0, 1.0]) - - louver_direction = ( - np.cos(tilt) * normal - - np.sin(tilt) * vertical - ) - - z_positions = np.arange( - 0, - height + 1e-6, - spacing, + create_horizontal_louvers( + depth=params["Depth"], + spacing=params["Spacing"], + tilt=params["Tilt"], + offset=params["Offset"], + positions=params.get("Positions"), + tilts=params.get("Tilts"), + top_1=top_1, + top_2=top_2, + height=height, + normal=normal, + name_prefix=f"{window.Name}_horizontal_louver", + base_surface_name=window.Building_Surface_Name, ) - for i, z_offset in enumerate(z_positions): - p1_louver = ( - top_1 - - np.array([0, 0, z_offset]) - + offset * normal - ) - - p2_louver = ( - top_2 - - np.array([0, 0, z_offset]) - + offset * normal - ) - - q1 = ( - p1_louver - + depth * louver_direction - ) - - q2 = ( - p2_louver - + depth * louver_direction - ) - - create_shading_surface( - f"{window.Name}_horizontal_louver_{i}", - [ - p1_louver, - p2_louver, - q2, - q1, - ], - window.Building_Surface_Name, - ) - elif shading_type == "vertical_louvers": - spacing = params["Spacing"] - tilt = np.deg2rad(params["Tilt"]) - - edge_vector = top_2 - top_1 - edge_vector /= np.linalg.norm(edge_vector) - - horizontal_normal = normal.copy() - horizontal_normal[2] = 0.0 - horizontal_normal /= np.linalg.norm(horizontal_normal) - - vertical = np.array( - [0.0, 0.0, 1.0] - ) - - local_right = np.cross( - vertical, - horizontal_normal, - ) - local_right /= np.linalg.norm(local_right) - - louver_direction = ( - np.cos(tilt) * horizontal_normal - + np.sin(tilt) * local_right - ) - - n_louvers = int( - np.floor(width / spacing) + create_vertical_louvers( + depth=params["Depth"], + spacing=params["Spacing"], + tilt=params["Tilt"], + positions=params.get("Positions"), + tilts=params.get("Tilts"), + top_1=top_1, + top_2=top_2, + bottom_1=bottom_1, + width=width, + normal=normal, + name_prefix=f"{window.Name}_vertical_louver", + base_surface_name=window.Building_Surface_Name, ) - occupied_width = ( - n_louvers * spacing + elif shading_type == "eggcrate": + + create_horizontal_louvers( + depth=params["Depth_H"], + spacing=params["Spacing_H"], + tilt=params["Tilt_H"], + offset=params["Offset_H"], + positions=params.get("Positions_H"), + tilts=params.get("Tilts_H"), + top_1=top_1, + top_2=top_2, + height=height, + normal=normal, + name_prefix=f"{window.Name}_eggcrate_h", + base_surface_name=window.Building_Surface_Name, ) - margin = ( - width - occupied_width - ) / 2 - - x_positions = np.arange( - margin, - width - margin + 1e-6, - spacing, + create_vertical_louvers( + depth=params["Depth_V"], + spacing=params["Spacing_V"], + tilt=params["Tilt_V"], + positions=params.get("Positions_V"), + tilts=params.get("Tilts_V"), + top_1=top_1, + top_2=top_2, + bottom_1=bottom_1, + width=width, + normal=normal, + name_prefix=f"{window.Name}_eggcrate_v", + base_surface_name=window.Building_Surface_Name, ) - for i, x_offset in enumerate(x_positions): - offset_vector = ( - x_offset - * edge_vector - ) - - p_bottom = ( - bottom_1 - + offset_vector - ) - - p_top = ( - top_1 - + offset_vector - ) - - q_bottom = ( - p_bottom - + depth * louver_direction - ) - - q_top = ( - p_top - + depth * louver_direction - ) - - create_shading_surface( - f"{window.Name}_vertical_louver_{i}", - [ - p_bottom, - q_bottom, - q_top, - p_top, - ], - window.Building_Surface_Name, - ) - def set_shading_properties( model: Building, @@ -1624,6 +1717,7 @@ def set_shade( except Exception: pass + def set_blind( model: Building, description: dict = None, diff --git a/tests/test_modifier.py b/tests/test_modifier.py index 816db7b..43e5696 100644 --- a/tests/test_modifier.py +++ b/tests/test_modifier.py @@ -941,6 +941,92 @@ def test_set_shading_geometry(self, toy_building): with pytest.raises(ValueError): set_shading_geometry(deepcopy(toy_building), "invalid_type") + # --- horizontal_louvers: non-uniform Positions/Tilts override Spacing/Tilt --- + loc = deepcopy(toy_building) + set_shading_geometry( + loc, + "horizontal_louvers", + {"Positions": [0.0, 0.5, 1.0], "Tilts": [0, 30, 45]}, + name_filter="_0", + ) + louvers = { + s.Name: s + for s in loc.idf.idfobjects["Shading:Zone:Detailed"] + if "Window_0_horizontal_louver" in s.Name + } + assert len(louvers) == 3 + # z_offset=0 -> top edge unchanged (z = 1.5) + assert louvers["Window_0_horizontal_louver_0"].Vertex_1_Zcoordinate == pytest.approx(1.5) + # z_offset=1.0 -> shifted down to the bottom edge (z = 0.5) + assert louvers["Window_0_horizontal_louver_2"].Vertex_1_Zcoordinate == pytest.approx(0.5) + + # a scalar Tilts value applies to every louver + loc = deepcopy(toy_building) + set_shading_geometry( + loc, + "horizontal_louvers", + {"Positions": [0.0, 0.5], "Tilts": 30}, + name_filter="_0", + ) + louvers = [ + s for s in loc.idf.idfobjects["Shading:Zone:Detailed"] + if "Window_0_horizontal_louver" in s.Name + ] + assert len(louvers) == 2 + + # --- vertical_louvers: non-uniform Positions override Spacing --- + loc = deepcopy(toy_building) + set_shading_geometry( + loc, + "vertical_louvers", + {"Positions": [0.1, 0.5, 0.9]}, + name_filter="_0", + ) + louvers = [ + s for s in loc.idf.idfobjects["Shading:Zone:Detailed"] + if "Window_0_vertical_louver" in s.Name + ] + assert len(louvers) == 3 + + # --- eggcrate: crossed horizontal + vertical louvers, default params --- + loc = deepcopy(toy_building) + set_shading_geometry(loc, "eggcrate", name_filter="_0") + shading = loc.idf.idfobjects["Shading:Zone:Detailed"] + h_louvers = [s for s in shading if "Window_0_eggcrate_h" in s.Name] + v_louvers = [s for s in shading if "Window_0_eggcrate_v" in s.Name] + assert len(h_louvers) == 5 # same default spacing as horizontal_louvers + assert len(v_louvers) == 4 # same default spacing as vertical_louvers + assert not any(s.Name.startswith("Window_1_eggcrate") for s in shading) + + # replacing an eggcrate removes the previous grid (idempotent) + set_shading_geometry( + loc, "eggcrate", {"Spacing_H": 0.5, "Spacing_V": 0.5}, name_filter="_0" + ) + shading = loc.idf.idfobjects["Shading:Zone:Detailed"] + h_louvers = [s for s in shading if "Window_0_eggcrate_h" in s.Name] + v_louvers = [s for s in shading if "Window_0_eggcrate_v" in s.Name] + assert len(h_louvers) == 3 # arange(0, 1+1e-6, 0.5) -> 0, 0.5, 1.0 + assert len(v_louvers) == 3 # margin=0 -> arange(0, 1+1e-6, 0.5) -> 0, 0.5, 1.0 + + # independent H/V depths and per-direction non-uniform positions + loc = deepcopy(toy_building) + set_shading_geometry( + loc, + "eggcrate", + { + "Depth_H": 0.3, + "Depth_V": 0.6, + "Positions_H": [0.0, 1.0], + "Positions_V": [0.2, 0.8], + }, + name_filter="_0", + ) + shading = loc.idf.idfobjects["Shading:Zone:Detailed"] + h_louvers = [s for s in shading if "Window_0_eggcrate_h" in s.Name] + v_louvers = [s for s in shading if "Window_0_eggcrate_v" in s.Name] + assert len(h_louvers) == 2 + assert len(v_louvers) == 2 + def test_set_shading_properties(self, toy_building): # setup: one overhang on Window_0 loc = deepcopy(toy_building) From 44030769385a2088bcb2a685838283dd6e8507a6 Mon Sep 17 00:00:00 2001 From: Tesshub Date: Fri, 21 Aug 2026 11:52:51 +0200 Subject: [PATCH 3/7] =?UTF-8?q?=E2=9C=A8=E2=9C=85=20add=20WindowMaterial:S?= =?UTF-8?q?creen=20modifier=20(set=5Fscreen)?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Co-Authored-By: Claude Sonnet 5 --- energytool/modifier.py | 233 +++++++++++++++++++++++++++++++++++++++++ tests/test_modifier.py | 63 +++++++++++ 2 files changed, 296 insertions(+) diff --git a/energytool/modifier.py b/energytool/modifier.py index 682c512..b21f9b1 100644 --- a/energytool/modifier.py +++ b/energytool/modifier.py @@ -1718,6 +1718,239 @@ def set_shade( pass +def set_screen( + model: Building, + description: dict = None, + name_filter: Union[str, list[str]] = None, +): + """ + Attach a perforated screen material (e.g. perforated sheet metal) to + windows via a ``WindowShadingControl``. + + Creates a ``WindowMaterial:Screen`` and an associated construction, then + assigns a ``WindowShadingControl`` (type ``OnIfScheduleAllows`` by + default, screen type ``ExteriorScreen``) to each matching window. + Existing screen material and construction objects are reused if their + names already exist in the IDF. + + Unlike ``WindowMaterial:Shade``/``WindowMaterial:Blind``, a screen's + optical properties come from its physical perforation pattern (wire/hole + ``Diameter`` and ``Spacing``) rather than a flat transmittance value. + This models the homogenized porosity of a perforated panel; it does not + represent the panel's own geometry (use :func:`set_shading_geometry` + with ``"eggcrate"`` for a 3D grid of solid fins, optionally coated with + a screen material via :func:`set_shading_properties`). + + Perforation convenience parameters + ----------------------------------- + Instead of specifying EnergyPlus's native ``Screen_Material_Diameter`` + and ``Screen_Material_Spacing`` directly, you can provide: + + - ``Perforation_Ratio`` (0-1, default 0.30): open area fraction of the + screen (i.e. the fraction of the panel that is actually holes). + - ``Pitch`` (m, default 0.01): center-to-center spacing of the + perforation pattern (assumed identical in both directions, as per the + EnergyPlus screen model). + + These are converted to ``Screen_Material_Spacing = Pitch`` and + ``Screen_Material_Diameter = Pitch * (1 - sqrt(Perforation_Ratio))`` + (square-mesh approximation used by the EnergyPlus screen model). + Explicitly providing ``Screen_Material_Diameter`` and/or + ``Screen_Material_Spacing`` in ``description`` overrides this + computation field-by-field. + + Default parameters + ------------------- + - ``Name``: ``"DEFAULT_SCREEN"`` + - ``Perforation_Ratio``: 0.30 + - ``Pitch`` (m): 0.01 + - ``Screen_Material_Diameter``: None (derived from ``Perforation_Ratio``/``Pitch``) + - ``Screen_Material_Spacing``: None (derived from ``Pitch``) + - ``Reflected_Beam_Transmittance_Accounting_Method``: ``"ModelAsDiffuse"`` + - ``Diffuse_Solar_Reflectance``: 0.30 + - ``Diffuse_Visible_Reflectance``: 0.30 + - ``Thermal_Hemispherical_Emissivity``: 0.90 + - ``Conductivity`` (W/m·K): 221.0 (aluminum) + - ``Screen_to_Glass_Distance`` (m): 0.025 + - ``Top_Opening_Multiplier`` / ``Bottom_Opening_Multiplier`` / + ``Left_Side_Opening_Multiplier`` / ``Right_Side_Opening_Multiplier``: 0.0 + - ``Angle_of_Resolution_for_Screen_Transmittance_Output_Map``: 0 + - ``Shading_Type``: ``"ExteriorScreen"`` (the only screen type EnergyPlus + supports on a ``WindowShadingControl``) + - ``Schedule``: None (no schedule assigned, control is always considered active) + + Parameters + ---------- + model : Building + EnergyTool Building object. + description : dict, optional + Parameter overrides. Any key from the default list above can be set. + + - ``"Schedule"`` (str): name of an existing EnergyPlus schedule used to + drive the shading control (value 1 = active, 0 = inactive). + + Example:: + + { + "Name": "PERFORATED_PANEL", + "Perforation_Ratio": 0.40, + "Pitch": 0.008, + "Diffuse_Solar_Reflectance": 0.55, + "Schedule": "SummerOnlySchedule", + } + + name_filter : str or list[str], optional + If provided, only windows whose name contains the filter string + (or any string in the list) receive the screen control. + If None, all windows are processed. + """ + DEFAULT_SCREEN = { + "Name": "DEFAULT_SCREEN", + "Perforation_Ratio": 0.30, + "Pitch": 0.01, + "Screen_Material_Diameter": None, + "Screen_Material_Spacing": None, + "Reflected_Beam_Transmittance_Accounting_Method": "ModelAsDiffuse", + "Diffuse_Solar_Reflectance": 0.30, + "Diffuse_Visible_Reflectance": 0.30, + "Thermal_Hemispherical_Emissivity": 0.90, + "Conductivity": 221.0, + "Screen_to_Glass_Distance": 0.025, + "Top_Opening_Multiplier": 0.0, + "Bottom_Opening_Multiplier": 0.0, + "Left_Side_Opening_Multiplier": 0.0, + "Right_Side_Opening_Multiplier": 0.0, + "Angle_of_Resolution_for_Screen_Transmittance_Output_Map": 0, + "Schedule": None, + "Shading_Type": "ExteriorScreen", + } + + params = DEFAULT_SCREEN.copy() + + if description is not None: + params.update(description) + + spacing = params["Screen_Material_Spacing"] + if spacing is None: + spacing = params["Pitch"] + + diameter = params["Screen_Material_Diameter"] + if diameter is None: + diameter = spacing * (1 - np.sqrt(params["Perforation_Ratio"])) + + screen_name = params["Name"] + construction_name = f"{screen_name}_CONSTRUCTION" + + existing_screens = { + obj.Name + for obj in model.idf.idfobjects["WINDOWMATERIAL:SCREEN"] + } + + if screen_name not in existing_screens: + + model.idf.newidfobject( + "WINDOWMATERIAL:SCREEN", + Name=screen_name, + Reflected_Beam_Transmittance_Accounting_Method=params[ + "Reflected_Beam_Transmittance_Accounting_Method" + ], + Diffuse_Solar_Reflectance=params["Diffuse_Solar_Reflectance"], + Diffuse_Visible_Reflectance=params["Diffuse_Visible_Reflectance"], + Thermal_Hemispherical_Emissivity=params[ + "Thermal_Hemispherical_Emissivity" + ], + Conductivity=params["Conductivity"], + Screen_Material_Spacing=spacing, + Screen_Material_Diameter=diameter, + Screen_to_Glass_Distance=params["Screen_to_Glass_Distance"], + Top_Opening_Multiplier=params["Top_Opening_Multiplier"], + Bottom_Opening_Multiplier=params["Bottom_Opening_Multiplier"], + Left_Side_Opening_Multiplier=params["Left_Side_Opening_Multiplier"], + Right_Side_Opening_Multiplier=params["Right_Side_Opening_Multiplier"], + Angle_of_Resolution_for_Screen_Transmittance_Output_Map=params[ + "Angle_of_Resolution_for_Screen_Transmittance_Output_Map" + ], + ) + + existing_constructions = { + obj.Name + for obj in model.idf.idfobjects["CONSTRUCTION"] + } + + if construction_name not in existing_constructions: + + model.idf.newidfobject( + "CONSTRUCTION", + Name=construction_name, + Outside_Layer=screen_name, + ) + + windows = [ + window + for window in model.idf.idfobjects[ + "FENESTRATIONSURFACE:DETAILED" + ] + if ( + ( + not window.Surface_Type + or window.Surface_Type.upper() == "WINDOW" + ) + and _matches_filter(window.Name, name_filter) + ) + ] + + existing_controls = { + obj.Name: obj + for obj in model.idf.idfobjects[ + "WINDOWSHADINGCONTROL" + ] + } + + for window in windows: + + control_name = ( + f"{window.Name}_{screen_name}_control" + ) + + if control_name in existing_controls: + + control = existing_controls[ + control_name + ] + + else: + + control = model.idf.newidfobject( + "WINDOWSHADINGCONTROL", + Name=control_name, + ) + + control.Shading_Type = ( + params["Shading_Type"] + ) + + control.Construction_with_Shading_Name = ( + construction_name + ) + + control.Shading_Control_Type = ( + "OnIfScheduleAllows" + ) + + if params["Schedule"] is not None: + + control.Schedule_Name = ( + params["Schedule"] + ) + + try: + control.Fenestration_Surface_1_Name = ( + window.Name + ) + except Exception: + pass + + def set_blind( model: Building, description: dict = None, diff --git a/tests/test_modifier.py b/tests/test_modifier.py index 43e5696..5dec640 100644 --- a/tests/test_modifier.py +++ b/tests/test_modifier.py @@ -30,6 +30,7 @@ set_shading_object, set_shade, set_blind, + set_screen, update_idf_objects, reverse_kwargs, ) @@ -1272,6 +1273,68 @@ def test_set_blind(self, toy_building): assert any(c.Name == "Window_1_DEFAULT_BLIND_control" for c in controls) assert not any(c.Name == "Window_2_DEFAULT_BLIND_control" for c in controls) + def test_set_screen(self, toy_building): + # default screen on Window_0 only: diameter derived from + # Perforation_Ratio (0.30) and Pitch (0.01) + loc = deepcopy(toy_building) + set_screen(loc, name_filter="_0") + + screens = loc.idf.idfobjects["WINDOWMATERIAL:SCREEN"] + default_screen = next((s for s in screens if s.Name == "DEFAULT_SCREEN"), None) + assert default_screen is not None + assert default_screen.Screen_Material_Spacing == pytest.approx(0.01) + assert default_screen.Screen_Material_Diameter == pytest.approx( + 0.01 * (1 - 0.30 ** 0.5) + ) + assert default_screen.Reflected_Beam_Transmittance_Accounting_Method == "ModelAsDiffuse" + + assert "DEFAULT_SCREEN_CONSTRUCTION" in {c.Name for c in loc.idf.idfobjects["CONSTRUCTION"]} + + controls = loc.idf.idfobjects["WINDOWSHADINGCONTROL"] + ctrl = next((c for c in controls if c.Name == "Window_0_DEFAULT_SCREEN_control"), None) + assert ctrl is not None + assert ctrl.Shading_Type == "ExteriorScreen" + assert ctrl.Construction_with_Shading_Name == "DEFAULT_SCREEN_CONSTRUCTION" + assert ctrl.Shading_Control_Type == "OnIfScheduleAllows" + assert not any(c.Name == "Window_1_DEFAULT_SCREEN_control" for c in controls) + + # explicit native fields override the Perforation_Ratio/Pitch derivation + loc = deepcopy(toy_building) + set_screen( + loc, + description={ + "Name": "PERFORATED_PANEL", + "Screen_Material_Spacing": 0.02, + "Screen_Material_Diameter": 0.015, + "Diffuse_Solar_Reflectance": 0.55, + "Schedule": "Shading_control_bis", + }, + name_filter="_0", + ) + screen = next(s for s in loc.idf.idfobjects["WINDOWMATERIAL:SCREEN"] if s.Name == "PERFORATED_PANEL") + assert screen.Screen_Material_Spacing == pytest.approx(0.02) + assert screen.Screen_Material_Diameter == pytest.approx(0.015) + assert screen.Diffuse_Solar_Reflectance == pytest.approx(0.55) + ctrl = next( + c for c in loc.idf.idfobjects["WINDOWSHADINGCONTROL"] + if c.Name == "Window_0_PERFORATED_PANEL_control" + ) + assert ctrl.Schedule_Name == "Shading_control_bis" + + # second call with same name reuses material, does not duplicate it + loc = deepcopy(toy_building) + set_screen(loc) + set_screen(loc) + assert sum(1 for s in loc.idf.idfobjects["WINDOWMATERIAL:SCREEN"] if s.Name == "DEFAULT_SCREEN") == 1 + + # list name_filter: Window_0 and Window_1 only + loc = deepcopy(toy_building) + set_screen(loc, name_filter=["_0", "_1"]) + controls = loc.idf.idfobjects["WINDOWSHADINGCONTROL"] + assert any(c.Name == "Window_0_DEFAULT_SCREEN_control" for c in controls) + assert any(c.Name == "Window_1_DEFAULT_SCREEN_control" for c in controls) + assert not any(c.Name == "Window_2_DEFAULT_SCREEN_control" for c in controls) + # def test_envelope_shades_modifier(self, toy_building): # loc_toy = deepcopy(toy_building) # From ecbd7f1c3eafba462905a9f1cba92c222c9c5b93 Mon Sep 17 00:00:00 2001 From: Tesshub Date: Fri, 21 Aug 2026 11:54:07 +0200 Subject: [PATCH 4/7] =?UTF-8?q?=E2=9C=A8=E2=9C=85=20add=20BSDF=20complex?= =?UTF-8?q?=20fenestration=20state=20modifier?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Co-Authored-By: Claude Sonnet 5 --- energytool/modifier.py | 221 +++++++++++++++++++++++++++++++++++++++++ tests/test_modifier.py | 82 +++++++++++++++ 2 files changed, 303 insertions(+) diff --git a/energytool/modifier.py b/energytool/modifier.py index b21f9b1..7e3ccdd 100644 --- a/energytool/modifier.py +++ b/energytool/modifier.py @@ -1951,6 +1951,227 @@ def set_screen( pass +def _load_matrix_file(path, delimiter: str = None) -> np.ndarray: + """Read a BSDF angular-scattering matrix from a text file (one row per + line, values separated by whitespace or ``delimiter``).""" + return np.atleast_2d(np.loadtxt(path, delimiter=delimiter)) + + +def _set_matrix_two_dimension(idf, name: str, array: np.ndarray) -> str: + """Create (or replace) a ``Matrix:TwoDimension`` object named ``name`` + holding ``array``'s values in row-major order.""" + nrows, ncols = array.shape + max_values = 21040 # Value_1..Value_21040, as declared in the E+ IDD + + if nrows * ncols > max_values: + raise ValueError( + f"Matrix '{name}' has {nrows * ncols} values " + f"({nrows}x{ncols}), exceeding the {max_values} values " + f"supported by Matrix:TwoDimension." + ) + + existing = idf.getobject("Matrix:TwoDimension", name) + if existing is not None: + idf.removeidfobject(existing) + + matrix_obj = idf.newidfobject( + "Matrix:TwoDimension", + Name=name, + Number_of_Rows=nrows, + Number_of_Columns=ncols, + ) + + for idx, value in enumerate(array.flatten(order="C"), start=1): + matrix_obj[f"Value_{idx}"] = float(value) + + return name + + +def set_complex_fenestration_state( + model: Building, + description: dict = None, + name_filter: Union[str, list[str]] = None, + surface_name_filter: Union[str, list[str]] = None, +): + """ + Assign a BSDF-based ``Construction:ComplexFenestrationState`` to matching + windows, built from externally supplied angular-scattering matrices. + + EnergyPlus has no way to derive a BSDF from geometric or material + parameters: the angular transmittance/reflectance data must come from an + external optical calculation (e.g. LBNL WINDOW, ``pywincalc``, or + Radiance's ``genBSDF``), typically exported as one text matrix per + optical quantity. This modifier only assembles the resulting IDF objects + (``Matrix:TwoDimension``, ``WindowThermalModel:Params``, + ``Construction:ComplexFenestrationState``) from those files and + reassigns matching windows to the new construction. + + Use this for shading geometries whose angular optical behaviour is not + well captured by a simple isotropic transmittance/reflectance (e.g. + ``set_shading_properties``) nor by the semi-empirical + ``WindowMaterial:Screen`` model (see :func:`set_screen`) — for instance + an irregular perforation pattern, a woven fabric, or a diagrid + brise-soleil. + + Parameters + ---------- + model : Building + EnergyTool Building object. + description : dict + Must contain: + + - ``"Name"`` (str): name of the resulting + ``Construction:ComplexFenestrationState``. + - ``"Outside_Layer_Name"`` (str): name of an existing glazing + material or ``WindowMaterial:ComplexShade`` used as the outside + layer. + - ``"Basis_Matrix"``, ``"Solar_Front_Transmittance"``, + ``"Solar_Back_Reflectance"``, ``"Visible_Front_Transmittance"``, + ``"Visible_Back_Transmittance"``, + ``"Outside_Layer_Front_Absorptance"``, + ``"Outside_Layer_Back_Absorptance"`` (str or ``Path``): paths to + the corresponding angular matrix text files (one row per line, + whitespace- or ``Delimiter``-separated), each read with + :func:`numpy.loadtxt`. + + Optional keys: + + - ``"Delimiter"`` (str, default None): column delimiter used for all + matrix files (None = whitespace, as exported by LBNL WINDOW). + - ``"Basis_Type"`` (default ``"LBNLWINDOW"``) and + ``"Basis_Symmetry_Type"`` (default ``"None"``). + - ``"Window_Thermal_Model"``: either the name (str) of an existing + ``WindowThermalModel:Params`` object, or a dict (with a ``"Name"`` + key plus any field to create/update it). If omitted, a default + ISO15099 model is created/reused. + + Example:: + + { + "Name": "BSDF_PERFORATED_SCREEN", + "Outside_Layer_Name": "Perforated_Metal_Layer", + "Basis_Matrix": "bsdf/basis_klems_full.txt", + "Solar_Front_Transmittance": "bsdf/solar_tf.txt", + "Solar_Back_Reflectance": "bsdf/solar_rb.txt", + "Visible_Front_Transmittance": "bsdf/visible_tf.txt", + "Visible_Back_Transmittance": "bsdf/visible_tb.txt", + "Outside_Layer_Front_Absorptance": "bsdf/abs_front.txt", + "Outside_Layer_Back_Absorptance": "bsdf/abs_back.txt", + } + + name_filter : str or list[str], optional + Forwarded to the window selection, matched against window names. + surface_name_filter : str or list[str], optional + Forwarded to the window selection, matched against the host + surface (``Building_Surface_Name``) names. + """ + if description is None: + raise ValueError( + "description is required for set_complex_fenestration_state" + ) + + if "Name" not in description: + raise ValueError("description must provide 'Name'") + + if "Outside_Layer_Name" not in description: + raise ValueError( + "description must provide 'Outside_Layer_Name' (an existing " + "glazing or WindowMaterial:ComplexShade name)" + ) + + matrix_field_map = { + "Basis_Matrix": "Basis_Matrix_Name", + "Solar_Front_Transmittance": ( + "Solar_Optical_Complex_Front_Transmittance_Matrix_Name" + ), + "Solar_Back_Reflectance": ( + "Solar_Optical_Complex_Back_Reflectance_Matrix_Name" + ), + "Visible_Front_Transmittance": ( + "Visible_Optical_Complex_Front_Transmittance_Matrix_Name" + ), + "Visible_Back_Transmittance": ( + "Visible_Optical_Complex_Back_Transmittance_Matrix_Name" + ), + "Outside_Layer_Front_Absorptance": ( + "Outside_Layer_Directional_Front_Absoptance_Matrix_Name" + ), + "Outside_Layer_Back_Absorptance": ( + "Outside_Layer_Directional_Back_Absoptance_Matrix_Name" + ), + } + + missing = [key for key in matrix_field_map if key not in description] + if missing: + raise ValueError( + f"Missing required BSDF matrix file path(s) in description: " + f"{missing}" + ) + + idf = model.idf + state_name = description["Name"] + delimiter = description.get("Delimiter") + + cfs_kwargs = {"Name": state_name} + for key, field_name in matrix_field_map.items(): + matrix = _load_matrix_file(description[key], delimiter=delimiter) + matrix_name = f"{state_name}_{key}" + _set_matrix_two_dimension(idf, matrix_name, matrix) + cfs_kwargs[field_name] = matrix_name + + thermal_model = description.get("Window_Thermal_Model") + + if isinstance(thermal_model, dict): + thermal_model_name = thermal_model["Name"] + update_idf_objects( + model, + {thermal_model_name: thermal_model}, + "WindowThermalModel:Params", + ) + elif isinstance(thermal_model, str): + thermal_model_name = thermal_model + if idf.getobject("WindowThermalModel:Params", thermal_model_name) is None: + raise ValueError( + f"Window_Thermal_Model '{thermal_model_name}' not found in " + f"IDF. Provide a dict to create it, or the name of an " + f"existing object." + ) + else: + thermal_model_name = "Default_CFS_Thermal_Model" + if idf.getobject("WindowThermalModel:Params", thermal_model_name) is None: + idf.newidfobject( + "WindowThermalModel:Params", + Name=thermal_model_name, + standard="ISO15099", + Thermal_Model="ISO15099", + ) + + cfs_kwargs["Window_Thermal_Model"] = thermal_model_name + cfs_kwargs["Basis_Type"] = description.get("Basis_Type", "LBNLWINDOW") + cfs_kwargs["Basis_Symmetry_Type"] = description.get( + "Basis_Symmetry_Type", "None" + ) + cfs_kwargs["Outside_Layer_Name"] = description["Outside_Layer_Name"] + + existing_cfs = idf.getobject( + "Construction:ComplexFenestrationState", state_name + ) + if existing_cfs is not None: + idf.removeidfobject(existing_cfs) + + idf.newidfobject("Construction:ComplexFenestrationState", **cfs_kwargs) + + windows = [ + win + for win in idf.idfobjects["FenestrationSurface:Detailed"] + if _matches_filter(win.Name, name_filter) + and _matches_filter(win.Building_Surface_Name, surface_name_filter) + ] + + for win in windows: + win.Construction_Name = state_name + + def set_blind( model: Building, description: dict = None, diff --git a/tests/test_modifier.py b/tests/test_modifier.py index 5dec640..b844e48 100644 --- a/tests/test_modifier.py +++ b/tests/test_modifier.py @@ -31,6 +31,7 @@ set_shade, set_blind, set_screen, + set_complex_fenestration_state, update_idf_objects, reverse_kwargs, ) @@ -1335,6 +1336,87 @@ def test_set_screen(self, toy_building): assert any(c.Name == "Window_1_DEFAULT_SCREEN_control" for c in controls) assert not any(c.Name == "Window_2_DEFAULT_SCREEN_control" for c in controls) + def test_set_complex_fenestration_state(self, toy_building, tmp_path): + # one small matrix file per required BSDF matrix (2x2, arbitrary values) + matrix_keys = [ + "Basis_Matrix", + "Solar_Front_Transmittance", + "Solar_Back_Reflectance", + "Visible_Front_Transmittance", + "Visible_Back_Transmittance", + "Outside_Layer_Front_Absorptance", + "Outside_Layer_Back_Absorptance", + ] + matrix_paths = {} + for i, key in enumerate(matrix_keys): + path = tmp_path / f"{key}.txt" + path.write_text(f"{i}.0 {i}.1\n{i}.2 {i}.3\n") + matrix_paths[key] = str(path) + + loc = deepcopy(toy_building) + description = { + "Name": "BSDF_TEST", + "Outside_Layer_Name": "Ext_win_1", + **matrix_paths, + } + + set_complex_fenestration_state(loc, description, name_filter="Window_0") + + # one Matrix:TwoDimension per matrix key, correctly sized/filled + matrices = {m.Name: m for m in loc.idf.idfobjects["MATRIX:TWODIMENSION"]} + basis_matrix = matrices["BSDF_TEST_Basis_Matrix"] + assert basis_matrix.Number_of_Rows == 2 + assert basis_matrix.Number_of_Columns == 2 + assert basis_matrix.Value_1 == pytest.approx(0.0) + assert basis_matrix.Value_4 == pytest.approx(0.3) + assert len(matrices) == len(matrix_keys) + + # a default ISO15099 thermal model is created + thermal_models = loc.idf.idfobjects["WINDOWTHERMALMODEL:PARAMS"] + default_model = next( + (m for m in thermal_models if m.Name == "Default_CFS_Thermal_Model"), None + ) + assert default_model is not None + assert default_model.standard == "ISO15099" + + # the Construction:ComplexFenestrationState references the matrices + cfs = loc.idf.idfobjects["CONSTRUCTION:COMPLEXFENESTRATIONSTATE"] + state = next(c for c in cfs if c.Name == "BSDF_TEST") + assert state.Basis_Matrix_Name == "BSDF_TEST_Basis_Matrix" + assert state.Outside_Layer_Name == "Ext_win_1" + assert state.Window_Thermal_Model == "Default_CFS_Thermal_Model" + + # only Window_0 is reassigned to the new construction + windows = {w.Name: w for w in loc.idf.idfobjects["FENESTRATIONSURFACE:DETAILED"]} + assert windows["Window_0"].Construction_Name == "BSDF_TEST" + assert windows["Window_1"].Construction_Name != "BSDF_TEST" + + # missing a required matrix key raises ValueError + incomplete = {k: v for k, v in description.items() if k != "Solar_Front_Transmittance"} + with pytest.raises(ValueError): + set_complex_fenestration_state(deepcopy(toy_building), incomplete) + + # missing Outside_Layer_Name raises ValueError + no_layer = {k: v for k, v in description.items() if k != "Outside_Layer_Name"} + with pytest.raises(ValueError): + set_complex_fenestration_state(deepcopy(toy_building), no_layer) + + # an explicit, existing Window_Thermal_Model name is reused as-is + loc2 = deepcopy(toy_building) + loc2.idf.newidfobject( + "WindowThermalModel:Params", Name="MyThermalModel", standard="EN673Design" + ) + set_complex_fenestration_state( + loc2, + {**description, "Window_Thermal_Model": "MyThermalModel"}, + name_filter="Window_0", + ) + state2 = next( + c for c in loc2.idf.idfobjects["CONSTRUCTION:COMPLEXFENESTRATIONSTATE"] + if c.Name == "BSDF_TEST" + ) + assert state2.Window_Thermal_Model == "MyThermalModel" + # def test_envelope_shades_modifier(self, toy_building): # loc_toy = deepcopy(toy_building) # From 59d93275ba8c9e260187eba252a0ae3940b2a19e Mon Sep 17 00:00:00 2001 From: Tesshub Date: Fri, 21 Aug 2026 16:01:05 +0200 Subject: [PATCH 5/7] =?UTF-8?q?=E2=9C=A8=E2=9C=85=20import=20WINDOW-export?= =?UTF-8?q?ed=20BSDF=20fragments=20in=20set=5Fcomplex=5Ffenestration=5Fsta?= =?UTF-8?q?te?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Co-Authored-By: Claude Sonnet 5 --- energytool/modifier.py | 322 ++++++++++++++++++++++++++++++----------- tests/test_modifier.py | 146 +++++++++++++++++++ 2 files changed, 384 insertions(+), 84 deletions(-) diff --git a/energytool/modifier.py b/energytool/modifier.py index 7e3ccdd..30fa7b4 100644 --- a/energytool/modifier.py +++ b/energytool/modifier.py @@ -1,5 +1,6 @@ from typing import Any, Union import numpy as np +from eppy.modeleditor import IDF from energytool.base.idf_utils import get_objects_name_list from energytool.base.idfobject_utils import ( @@ -1987,89 +1988,9 @@ def _set_matrix_two_dimension(idf, name: str, array: np.ndarray) -> str: return name -def set_complex_fenestration_state( - model: Building, - description: dict = None, - name_filter: Union[str, list[str]] = None, - surface_name_filter: Union[str, list[str]] = None, -): - """ - Assign a BSDF-based ``Construction:ComplexFenestrationState`` to matching - windows, built from externally supplied angular-scattering matrices. - - EnergyPlus has no way to derive a BSDF from geometric or material - parameters: the angular transmittance/reflectance data must come from an - external optical calculation (e.g. LBNL WINDOW, ``pywincalc``, or - Radiance's ``genBSDF``), typically exported as one text matrix per - optical quantity. This modifier only assembles the resulting IDF objects - (``Matrix:TwoDimension``, ``WindowThermalModel:Params``, - ``Construction:ComplexFenestrationState``) from those files and - reassigns matching windows to the new construction. - - Use this for shading geometries whose angular optical behaviour is not - well captured by a simple isotropic transmittance/reflectance (e.g. - ``set_shading_properties``) nor by the semi-empirical - ``WindowMaterial:Screen`` model (see :func:`set_screen`) — for instance - an irregular perforation pattern, a woven fabric, or a diagrid - brise-soleil. - - Parameters - ---------- - model : Building - EnergyTool Building object. - description : dict - Must contain: - - - ``"Name"`` (str): name of the resulting - ``Construction:ComplexFenestrationState``. - - ``"Outside_Layer_Name"`` (str): name of an existing glazing - material or ``WindowMaterial:ComplexShade`` used as the outside - layer. - - ``"Basis_Matrix"``, ``"Solar_Front_Transmittance"``, - ``"Solar_Back_Reflectance"``, ``"Visible_Front_Transmittance"``, - ``"Visible_Back_Transmittance"``, - ``"Outside_Layer_Front_Absorptance"``, - ``"Outside_Layer_Back_Absorptance"`` (str or ``Path``): paths to - the corresponding angular matrix text files (one row per line, - whitespace- or ``Delimiter``-separated), each read with - :func:`numpy.loadtxt`. - - Optional keys: - - - ``"Delimiter"`` (str, default None): column delimiter used for all - matrix files (None = whitespace, as exported by LBNL WINDOW). - - ``"Basis_Type"`` (default ``"LBNLWINDOW"``) and - ``"Basis_Symmetry_Type"`` (default ``"None"``). - - ``"Window_Thermal_Model"``: either the name (str) of an existing - ``WindowThermalModel:Params`` object, or a dict (with a ``"Name"`` - key plus any field to create/update it). If omitted, a default - ISO15099 model is created/reused. - - Example:: - - { - "Name": "BSDF_PERFORATED_SCREEN", - "Outside_Layer_Name": "Perforated_Metal_Layer", - "Basis_Matrix": "bsdf/basis_klems_full.txt", - "Solar_Front_Transmittance": "bsdf/solar_tf.txt", - "Solar_Back_Reflectance": "bsdf/solar_rb.txt", - "Visible_Front_Transmittance": "bsdf/visible_tf.txt", - "Visible_Back_Transmittance": "bsdf/visible_tb.txt", - "Outside_Layer_Front_Absorptance": "bsdf/abs_front.txt", - "Outside_Layer_Back_Absorptance": "bsdf/abs_back.txt", - } - - name_filter : str or list[str], optional - Forwarded to the window selection, matched against window names. - surface_name_filter : str or list[str], optional - Forwarded to the window selection, matched against the host - surface (``Building_Surface_Name``) names. - """ - if description is None: - raise ValueError( - "description is required for set_complex_fenestration_state" - ) - +def _build_complex_fenestration_from_matrices(model: Building, description: dict) -> str: + """Raw-matrices mode of :func:`set_complex_fenestration_state` — see its + docstring. Returns the resulting construction's Name.""" if "Name" not in description: raise ValueError("description must provide 'Name'") @@ -2161,9 +2082,240 @@ def set_complex_fenestration_state( idf.newidfobject("Construction:ComplexFenestrationState", **cfs_kwargs) + return state_name + + +# Object types that make up a WINDOW "export to EnergyPlus (BSDF)" fragment. +# Only these are migrated from an imported fragment file — everything else +# (comments, a stray Version object, ...) is ignored. +_BSDF_FRAGMENT_OBJECT_TYPES = [ + "WindowMaterial:Glazing", + "WindowMaterial:Gas", + "WindowMaterial:GasMixture", + "WindowMaterial:Gap", + "WindowMaterial:ComplexShade", + "WindowMaterial:Blind", + "WindowThermalModel:Params", + "Matrix:TwoDimension", + "Construction:ComplexFenestrationState", +] + + +def _import_complex_fenestration_fragment(model: Building, idf_fragment_path) -> str: + """Import mode of :func:`set_complex_fenestration_state` — see its + docstring. Returns the resulting construction's Name.""" + fragment_idf = IDF(str(idf_fragment_path)) + + states = fragment_idf.idfobjects["Construction:ComplexFenestrationState"] + if len(states) != 1: + raise ValueError( + f"Expected exactly one Construction:ComplexFenestrationState " + f"object in '{idf_fragment_path}', found {len(states)}." + ) + + idf = model.idf + + fragment_objects = [ + (obj_type, obj) + for obj_type in _BSDF_FRAGMENT_OBJECT_TYPES + for obj in fragment_idf.idfobjects[obj_type] + ] + # obj.Name is read (and, later, rewritten) in place, so the *original* + # name of each object must be captured up front. + original_names = {id(obj): obj.Name for _, obj in fragment_objects} + + def normalized_values(obj): + return [str(value).strip() for value in obj.fieldvalues[1:]] + + def rewrite_references(obj, rename_map): + # Field access by name (obj[field_name]) is O(n) in eppy (it + # searches fieldnames linearly), which is fine for small objects but + # pathological for a Matrix:TwoDimension with 20k+ fields. Working + # directly on the underlying value list (obj.obj, positionally + # aligned with obj.fieldnames) keeps this O(n) per object instead of + # O(n^2). + values = obj.obj + for i in range(1, len(values)): + value = values[i] + if ( + isinstance(value, str) + and value in rename_map + and rename_map[value] != value + ): + values[i] = rename_map[value] + + # For every fragment object, in dependency order (materials/gases/gaps/ + # thermal models/matrices before the Construction:ComplexFenestrationState + # that references them — the order _BSDF_FRAGMENT_OBJECT_TYPES is built + # in): first rewrite any reference this object holds to an + # already-processed, renamed object, *then* decide whether this object + # itself can reuse an identically-named/valued object already in the + # model, needs a fresh (renamed) copy because the existing one differs, + # or is simply new. Rewriting before comparing is what makes the + # comparison meaningful for objects (like the CFS itself) that refer to + # other, possibly-renamed objects. + rename_map = {} + reuse_keys = set() + + for obj_type, obj in fragment_objects: + rewrite_references(obj, rename_map) + + name = original_names[id(obj)] + existing = idf.getobject(obj_type, name) + + if existing is None: + rename_map[name] = name + continue + + if normalized_values(existing) == normalized_values(obj): + rename_map[name] = name + reuse_keys.add((obj_type, name)) + continue + + candidate = name + suffix = 2 + while ( + idf.getobject(obj_type, candidate) is not None + or candidate in rename_map.values() + ): + candidate = f"{name}_{suffix}" + suffix += 1 + rename_map[name] = candidate + obj.obj[1] = candidate + + # Copy whatever isn't a pure reuse into the target model. + state_name = None + for obj_type, obj in fragment_objects: + name = original_names[id(obj)] + + if (obj_type, name) in reuse_keys: + if obj_type == "Construction:ComplexFenestrationState": + state_name = obj.obj[1] + continue + + # Same reasoning as above: bulk-copy the value list positionally + # (obj.objls, the field-name list, is identical for every object of + # the same type, so the two lists stay index-aligned) instead of + # setting each field by name. + new_obj = idf.newidfobject(obj_type) + new_obj.obj = list(obj.obj) + + if obj_type == "Construction:ComplexFenestrationState": + state_name = new_obj.Name + + return state_name + + +def set_complex_fenestration_state( + model: Building, + description: dict = None, + idf_fragment_path=None, + name_filter: Union[str, list[str]] = None, + surface_name_filter: Union[str, list[str]] = None, +): + """ + Assign a BSDF-based ``Construction:ComplexFenestrationState`` to matching + windows, and return the resulting construction's ``Name``. + + EnergyPlus has no way to derive a BSDF from geometric or material + parameters: the angular transmittance/reflectance data must come from an + external optical calculation. Exactly one of the following two inputs + must be given. + + Mode 1 — ``idf_fragment_path`` (recommended for LBNL WINDOW users) + --------------------------------------------------------------------- + WINDOW's "Export to EnergyPlus (BSDF)" feature does not export raw + matrices: it exports a complete, ready-to-use IDF fragment already + containing ``WindowMaterial:Glazing``/``WindowMaterial:ComplexShade``/ + ``WindowMaterial:Gas``/``WindowMaterial:Gap`` layers, a + ``WindowThermalModel:Params``, the ``Matrix:TwoDimension`` matrices and + the ``Construction:ComplexFenestrationState`` itself, all pre-computed + and mutually consistent. Passing that fragment's file path here loads it + and copies its objects into ``model``, exactly as WINDOW produced them — + no matrix math is redone. + + The fragment must contain **exactly one** + ``Construction:ComplexFenestrationState``. Objects that already exist in + ``model`` under the same name are reused if their field values are + identical (the common case: several WINDOW exports for different + variants/orientations typically share the same glazing/gas layers), and + otherwise renamed on import (e.g. ``Glass_3083_Layer_2``) to avoid + silently overwriting a different, same-named object — including the + ``Construction:ComplexFenestrationState`` itself, so re-importing a + *modified* fragment under a name already used in ``model`` creates an + additional, renamed construction rather than replacing the existing one. + + Only ``pywincalc``/WINDOW-style IDF fragments are supported this way. A + raw ``genBSDF``/Radiance BSDF XML file cannot be imported directly: it + only carries one broadband (visible) dataset with no EnergyPlus Basis + Matrix or layer absorptance data, so producing a correct + ``Construction:ComplexFenestrationState`` from it requires optical + calculations this modifier does not perform. Run it through WINDOW (or + ``pywincalc``) to obtain an IDF fragment first. + + Mode 2 — ``description`` (raw matrix files) + --------------------------------------------------------------------- + For matrices computed independently of WINDOW (e.g. via a custom + ``pywincalc`` script), provide the individual matrix files directly. + ``description`` must contain: + + - ``"Name"`` (str): name of the resulting + ``Construction:ComplexFenestrationState``. + - ``"Outside_Layer_Name"`` (str): name of an existing glazing + material or ``WindowMaterial:ComplexShade`` used as the outside + layer. + - ``"Basis_Matrix"``, ``"Solar_Front_Transmittance"``, + ``"Solar_Back_Reflectance"``, ``"Visible_Front_Transmittance"``, + ``"Visible_Back_Transmittance"``, + ``"Outside_Layer_Front_Absorptance"``, + ``"Outside_Layer_Back_Absorptance"`` (str or ``Path``): paths to + the corresponding angular matrix text files (one row per line, + whitespace- or ``Delimiter``-separated), each read with + :func:`numpy.loadtxt`. + + Optional keys: ``"Delimiter"`` (default None = whitespace), + ``"Basis_Type"`` (default ``"LBNLWINDOW"``), ``"Basis_Symmetry_Type"`` + (default ``"None"``), and ``"Window_Thermal_Model"`` (name of an + existing ``WindowThermalModel:Params``, or a dict to create/update one; + defaults to a shared ISO15099 model). + + Parameters + ---------- + model : Building + EnergyTool Building object. + description : dict, optional + Raw-matrices mode input — see above. Mutually exclusive with + ``idf_fragment_path``. + idf_fragment_path : str or Path, optional + Path to an IDF fragment exported by WINDOW — see above. Mutually + exclusive with ``description``. + name_filter : str or list[str], optional + Forwarded to the window selection, matched against window names. + surface_name_filter : str or list[str], optional + Forwarded to the window selection, matched against the host + surface (``Building_Surface_Name``) names. + + Returns + ------- + str + The ``Name`` of the ``Construction:ComplexFenestrationState`` that + matching windows were assigned to. + """ + if (description is None) == (idf_fragment_path is None): + raise ValueError( + "set_complex_fenestration_state requires exactly one of " + "'description' (raw BSDF matrix files) or 'idf_fragment_path' " + "(an IDF fragment exported by WINDOW)." + ) + + if idf_fragment_path is not None: + state_name = _import_complex_fenestration_fragment(model, idf_fragment_path) + else: + state_name = _build_complex_fenestration_from_matrices(model, description) + windows = [ win - for win in idf.idfobjects["FenestrationSurface:Detailed"] + for win in model.idf.idfobjects["FenestrationSurface:Detailed"] if _matches_filter(win.Name, name_filter) and _matches_filter(win.Building_Surface_Name, surface_name_filter) ] @@ -2171,6 +2323,8 @@ def set_complex_fenestration_state( for win in windows: win.Construction_Name = state_name + return state_name + def set_blind( model: Building, diff --git a/tests/test_modifier.py b/tests/test_modifier.py index b844e48..5af5ff8 100644 --- a/tests/test_modifier.py +++ b/tests/test_modifier.py @@ -1417,6 +1417,152 @@ def test_set_complex_fenestration_state(self, toy_building, tmp_path): ) assert state2.Window_Thermal_Model == "MyThermalModel" + def _write_bsdf_fragment( + self, + path, + cfs_name="TestCFS", + glazing_name="TestGlazing", + glazing_transmittance=0.6, + gas_name="TestGas", + n_states=1, + ): + """ + Build a minimal but structurally realistic "WINDOW export to + EnergyPlus (BSDF)" fragment: a glazing + a complex shade + a gas gap + + a thermal model + a couple of small Matrix:TwoDimension objects, + tied together by a Construction:ComplexFenestrationState - the same + object types/relationships a real WINDOW export produces, just with + tiny 2x2 matrices instead of a real 145x145 Klems basis. + """ + frag = IDF(StringIO("")) + frag.idfname = None + + frag.newidfobject( + "WindowMaterial:Glazing", + Name=glazing_name, + Optical_Data_Type="BSDF", + Solar_Transmittance_at_Normal_Incidence=glazing_transmittance, + Thickness=0.006, + ) + frag.newidfobject("WindowMaterial:ComplexShade", Name="TestShade") + frag.newidfobject("WindowMaterial:Gas", Name=gas_name, Gas_Type="Air", Thickness=0.012) + frag.newidfobject("WindowMaterial:Gap", Name="TestGap", Thickness=0.012, Gas_or_Gas_Mixture="1") + frag.newidfobject( + "WindowThermalModel:Params", Name="TestThermalModel", standard="ISO15099" + ) + + for i in range(n_states): + suffix = "" if i == 0 else f"_{i}" + matrix_names = {} + for key in [ + "Basis", "TfSol", "RbSol", "Tfvis", "Rbvis", "fAbs", "bAbs", + ]: + mname = f"{cfs_name}{suffix}_{key}" + frag.newidfobject( + "Matrix:TwoDimension", + Name=mname, + Number_of_Rows=2, + Number_of_Columns=2, + Value_1=0.1, Value_2=0.2, Value_3=0.3, Value_4=0.4, + ) + matrix_names[key] = mname + + frag.newidfobject( + "Construction:ComplexFenestrationState", + Name=f"{cfs_name}{suffix}", + Basis_Type="LBNLWINDOW", + Basis_Symmetry_Type="None", + Window_Thermal_Model="TestThermalModel", + Basis_Matrix_Name=matrix_names["Basis"], + Solar_Optical_Complex_Front_Transmittance_Matrix_Name=matrix_names["TfSol"], + Solar_Optical_Complex_Back_Reflectance_Matrix_Name=matrix_names["RbSol"], + Visible_Optical_Complex_Front_Transmittance_Matrix_Name=matrix_names["Tfvis"], + Visible_Optical_Complex_Back_Transmittance_Matrix_Name=matrix_names["Rbvis"], + Outside_Layer_Name="TestShade", + Outside_Layer_Directional_Front_Absoptance_Matrix_Name=matrix_names["fAbs"], + Outside_Layer_Directional_Back_Absoptance_Matrix_Name=matrix_names["bAbs"], + Gap_1_Name="TestGap", + Layer_2_Name=glazing_name, + ) + + frag.saveas(str(path)) + return path + + def test_set_complex_fenestration_state_requires_one_input(self, toy_building): + loc = deepcopy(toy_building) + with pytest.raises(ValueError): + set_complex_fenestration_state(loc) + with pytest.raises(ValueError): + set_complex_fenestration_state( + loc, description={"Name": "X"}, idf_fragment_path="whatever.idf" + ) + + def test_set_complex_fenestration_state_from_idf_fragment(self, toy_building, tmp_path): + # a fragment with zero or several states is rejected + empty_path = tmp_path / "empty.idf" + IDF(StringIO("")).saveas(str(empty_path)) + with pytest.raises(ValueError): + set_complex_fenestration_state( + deepcopy(toy_building), idf_fragment_path=str(empty_path) + ) + + two_states_path = self._write_bsdf_fragment( + tmp_path / "two_states.idf", cfs_name="TwoStates", n_states=2 + ) + with pytest.raises(ValueError): + set_complex_fenestration_state( + deepcopy(toy_building), idf_fragment_path=str(two_states_path) + ) + + # basic import: objects copied, window(s) reassigned + frag_path = self._write_bsdf_fragment(tmp_path / "frag.idf") + loc = deepcopy(toy_building) + state_name = set_complex_fenestration_state( + loc, idf_fragment_path=str(frag_path), name_filter="Window_0" + ) + assert state_name == "TestCFS" + assert {o.Name for o in loc.idf.idfobjects["WINDOWMATERIAL:GLAZING"]} == {"TestGlazing"} + assert {o.Name for o in loc.idf.idfobjects["WINDOWMATERIAL:COMPLEXSHADE"]} == {"TestShade"} + assert len(loc.idf.idfobjects["MATRIX:TWODIMENSION"]) == 7 + windows = {w.Name: w for w in loc.idf.idfobjects["FENESTRATIONSURFACE:DETAILED"]} + assert windows["Window_0"].Construction_Name == "TestCFS" + assert windows["Window_1"].Construction_Name != "TestCFS" + + # re-importing the identical fragment is idempotent (no duplicates) + state_name_2 = set_complex_fenestration_state( + loc, idf_fragment_path=str(frag_path), name_filter="Window_0" + ) + assert state_name_2 == "TestCFS" + assert len(loc.idf.idfobjects["CONSTRUCTION:COMPLEXFENESTRATIONSTATE"]) == 1 + assert len(loc.idf.idfobjects["MATRIX:TWODIMENSION"]) == 7 + + # a sub-object that already exists with IDENTICAL values is reused, + # not duplicated, across two otherwise-different fragments + frag_path_2 = self._write_bsdf_fragment( + tmp_path / "frag2.idf", cfs_name="OtherCFS", glazing_name="TestGlazing", + glazing_transmittance=0.6, # same value as frag_path's glazing + ) + set_complex_fenestration_state(loc, idf_fragment_path=str(frag_path_2)) + assert {o.Name for o in loc.idf.idfobjects["WINDOWMATERIAL:GLAZING"]} == {"TestGlazing"} + assert len(loc.idf.idfobjects["CONSTRUCTION:COMPLEXFENESTRATIONSTATE"]) == 2 + + # a genuine collision (same glazing name, different value) is + # auto-renamed, and the rename propagates to whatever references it + frag_path_3 = self._write_bsdf_fragment( + tmp_path / "frag3.idf", cfs_name="ThirdCFS", glazing_name="TestGlazing", + glazing_transmittance=0.15, # different value -> forces a rename + ) + set_complex_fenestration_state(loc, idf_fragment_path=str(frag_path_3)) + glazing_names = {o.Name for o in loc.idf.idfobjects["WINDOWMATERIAL:GLAZING"]} + assert glazing_names == {"TestGlazing", "TestGlazing_2"} + renamed_glazing = loc.idf.getobject("WindowMaterial:Glazing", "TestGlazing_2") + assert renamed_glazing.Solar_Transmittance_at_Normal_Incidence == pytest.approx(0.15) + third_cfs = loc.idf.getobject("Construction:ComplexFenestrationState", "ThirdCFS") + assert third_cfs.Layer_2_Name == "TestGlazing_2" + # the original, untouched by the collision + original_glazing = loc.idf.getobject("WindowMaterial:Glazing", "TestGlazing") + assert original_glazing.Solar_Transmittance_at_Normal_Incidence == pytest.approx(0.6) + # def test_envelope_shades_modifier(self, toy_building): # loc_toy = deepcopy(toy_building) # From ce78b0e710b7eddc91576d4f5b5eff33c558e7eb Mon Sep 17 00:00:00 2001 From: Tesshub Date: Fri, 21 Aug 2026 16:02:07 +0200 Subject: [PATCH 6/7] =?UTF-8?q?=F0=9F=90=9B=E2=9C=85=20fix=20set=5Fshade/s?= =?UTF-8?q?et=5Fblind/set=5Fscreen=20for=20real=20EnergyPlus=20simulation?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit WindowShadingControl was missing Zone_Name and Shading_Control_Is_Scheduled (both required by EnergyPlus), and the "with shading" construction only contained the shade/blind/screen material itself instead of that layer plus the window's actual base glazing - an invalid single-layer construction. All three now build a combined construction from the window's current base construction, positioning the shading layer as outermost or innermost depending on Shading_Type. Co-Authored-By: Claude Sonnet 5 --- energytool/modifier.py | 136 +++++++++++++++++++++++++---------------- tests/test_modifier.py | 38 ++++++++++-- 2 files changed, 117 insertions(+), 57 deletions(-) diff --git a/energytool/modifier.py b/energytool/modifier.py index 30fa7b4..fa9ee76 100644 --- a/energytool/modifier.py +++ b/energytool/modifier.py @@ -19,6 +19,70 @@ def _matches_filter(name: str, name_filter: Union[str, list, None]) -> bool: return name_filter in name +def _get_window_zone_name(idf, window) -> str: + """A ``FenestrationSurface:Detailed`` has no ``Zone_Name`` field of its + own: it belongs to the zone of its host ``BuildingSurface:Detailed`` + (``Building_Surface_Name``). ``WindowShadingControl`` requires a + ``Zone_Name`` — resolve it through the host surface.""" + host_surface = idf.getobject( + "BuildingSurface:Detailed", window.Building_Surface_Name + ) + return getattr(host_surface, "Zone_Name", "") if host_surface is not None else "" + + +def _build_shaded_construction(idf, window, shading_material_name, shading_type, name_hint): + """ + Build (or reuse) the full window construction referenced by a + ``WindowShadingControl``'s ``Construction_with_Shading_Name``: the + window's *current* base construction with ``shading_material_name`` + added as an extra layer. + + EnergyPlus infers interior/exterior/between-glass shading purely from + where that layer sits in the construction's layer list — a single-layer + construction made of just the shading material (as if it replaced the + glazing outright) is invalid and won't have a sensible U-factor. The + layer is positioned according to ``shading_type``: + + - ``Exterior*`` — outermost layer (``Outside_Layer``). + - ``Interior*`` — innermost layer (last). + - anything else (``BetweenGlassBlind``/``BetweenGlassShade``, + ``SwitchableGlazing``, ...) — inserted after the first base layer, a + reasonable approximation for a typical double-glazed base + construction; build the construction by hand for anything more + specific. + + Returns the resulting ``Construction``'s ``Name``. Raises ``ValueError`` + if the window's current ``Construction_Name`` does not resolve to an + existing ``Construction``. + """ + base_construction = idf.getobject("Construction", window.Construction_Name) + if base_construction is None: + raise ValueError( + f"Window '{window.Name}' references an unknown Construction " + f"'{window.Construction_Name}'; cannot attach " + f"'{shading_material_name}' to it." + ) + + base_layers = [value for value in base_construction.fieldvalues[2:] if value] + + if shading_type.upper().startswith("EXTERIOR"): + layers = [shading_material_name] + base_layers + elif shading_type.upper().startswith("INTERIOR"): + layers = base_layers + [shading_material_name] + else: + layers = base_layers[:1] + [shading_material_name] + base_layers[1:] + + construction_name = f"{window.Construction_Name}_{name_hint}" + + if idf.getobject("Construction", construction_name) is None: + kwargs = {"Name": construction_name, "Outside_Layer": layers[0]} + for idx, layer in enumerate(layers[1:]): + kwargs[f"Layer_{idx + 2}"] = layer + idf.newidfobject("Construction", **kwargs) + + return construction_name + + def reverse_kwargs(construction_kwargs): construction_name = construction_kwargs["Name"] @@ -1613,7 +1677,6 @@ def set_shade( params.update(description) shade_name = params["Name"] - construction_name = f"{shade_name}_CONSTRUCTION" existing_shades = { obj.Name @@ -1636,19 +1699,6 @@ def set_shade( Conductivity=params["Conductivity"], ) - existing_constructions = { - obj.Name - for obj in model.idf.idfobjects["CONSTRUCTION"] - } - - if construction_name not in existing_constructions: - - model.idf.newidfobject( - "CONSTRUCTION", - Name=construction_name, - Outside_Layer=shade_name, - ) - windows = [ window for window in model.idf.idfobjects[ @@ -1690,21 +1740,23 @@ def set_shade( ) control.Zone_Name = ( - getattr(window, "Zone_Name", "") + _get_window_zone_name(model.idf, window) ) control.Shading_Type = ( params["Shading_Type"] ) - control.Construction_with_Shading_Name = ( - construction_name + control.Construction_with_Shading_Name = _build_shaded_construction( + model.idf, window, shade_name, params["Shading_Type"], shade_name ) control.Shading_Control_Type = ( "OnIfScheduleAllows" ) + control.Shading_Control_Is_Scheduled = "Yes" + if params["Schedule"] is not None: control.Schedule_Name = ( @@ -1840,7 +1892,6 @@ def set_screen( diameter = spacing * (1 - np.sqrt(params["Perforation_Ratio"])) screen_name = params["Name"] - construction_name = f"{screen_name}_CONSTRUCTION" existing_screens = { obj.Name @@ -1873,19 +1924,6 @@ def set_screen( ], ) - existing_constructions = { - obj.Name - for obj in model.idf.idfobjects["CONSTRUCTION"] - } - - if construction_name not in existing_constructions: - - model.idf.newidfobject( - "CONSTRUCTION", - Name=construction_name, - Outside_Layer=screen_name, - ) - windows = [ window for window in model.idf.idfobjects[ @@ -1926,18 +1964,24 @@ def set_screen( Name=control_name, ) + control.Zone_Name = ( + _get_window_zone_name(model.idf, window) + ) + control.Shading_Type = ( params["Shading_Type"] ) - control.Construction_with_Shading_Name = ( - construction_name + control.Construction_with_Shading_Name = _build_shaded_construction( + model.idf, window, screen_name, params["Shading_Type"], screen_name ) control.Shading_Control_Type = ( "OnIfScheduleAllows" ) + control.Shading_Control_Is_Scheduled = "Yes" + if params["Schedule"] is not None: control.Schedule_Name = ( @@ -2459,7 +2503,6 @@ def set_blind( params.update(description) blind_name = params["Name"] - construction_name = f"{blind_name}_CONSTRUCTION" existing_blinds = { obj.Name @@ -2520,21 +2563,6 @@ def set_blind( params["Maximum_Slat_Angle"], ) - existing_constructions = { - obj.Name - for obj in model.idf.idfobjects[ - "CONSTRUCTION" - ] - } - - if construction_name not in existing_constructions: - - model.idf.newidfobject( - "CONSTRUCTION", - Name=construction_name, - Outside_Layer=blind_name, - ) - windows = [ window for window in model.idf.idfobjects[ @@ -2575,18 +2603,24 @@ def set_blind( Name=control_name, ) + control.Zone_Name = ( + _get_window_zone_name(model.idf, window) + ) + control.Shading_Type = ( params["Shading_Type"] ) - control.Construction_with_Shading_Name = ( - construction_name + control.Construction_with_Shading_Name = _build_shaded_construction( + model.idf, window, blind_name, params["Shading_Type"], blind_name ) control.Shading_Control_Type = ( "OnIfScheduleAllows" ) + control.Shading_Control_Is_Scheduled = "Yes" + if params["Schedule"] is not None: control.Schedule_Name = ( diff --git a/tests/test_modifier.py b/tests/test_modifier.py index 5af5ff8..3b7d6d3 100644 --- a/tests/test_modifier.py +++ b/tests/test_modifier.py @@ -1156,14 +1156,22 @@ def test_set_shade(self, toy_building): assert default_shade.Solar_Reflectance == pytest.approx(0.70) assert default_shade.Visible_Transmittance == pytest.approx(0.10) - assert "DEFAULT_SHADE_CONSTRUCTION" in {c.Name for c in loc.idf.idfobjects["CONSTRUCTION"]} + # the combined construction keeps Window_0's base glazing ("Ext_win_2") + # and, since Shading_Type defaults to "InteriorShade", adds the shade + # as the *innermost* layer rather than replacing the glazing outright + shaded_construction = loc.idf.getobject("Construction", "Construction_Ext_win_2_DEFAULT_SHADE") + assert shaded_construction is not None + assert shaded_construction.Outside_Layer == "Ext_win_2" + assert shaded_construction.Layer_2 == "DEFAULT_SHADE" controls = loc.idf.idfobjects["WINDOWSHADINGCONTROL"] ctrl = next((c for c in controls if c.Name == "Window_0_DEFAULT_SHADE_control"), None) assert ctrl is not None + assert ctrl.Zone_Name == "zone_0" assert ctrl.Shading_Type == "InteriorShade" - assert ctrl.Construction_with_Shading_Name == "DEFAULT_SHADE_CONSTRUCTION" + assert ctrl.Construction_with_Shading_Name == "Construction_Ext_win_2_DEFAULT_SHADE" assert ctrl.Shading_Control_Type == "OnIfScheduleAllows" + assert ctrl.Shading_Control_Is_Scheduled == "Yes" # Window_1 excluded by name_filter assert not any(c.Name == "Window_1_DEFAULT_SHADE_control" for c in controls) @@ -1181,6 +1189,10 @@ def test_set_shade(self, toy_building): ) shade = next(s for s in loc.idf.idfobjects["WINDOWMATERIAL:SHADE"] if s.Name == "MY_SHADE") assert shade.Solar_Transmittance == pytest.approx(0.05) + # ExteriorShade -> the shade is the *outermost* layer this time + exterior_shaded_construction = loc.idf.getobject("Construction", "Construction_Ext_win_2_MY_SHADE") + assert exterior_shaded_construction.Outside_Layer == "MY_SHADE" + assert exterior_shaded_construction.Layer_2 == "Ext_win_2" ctrl = next( c for c in loc.idf.idfobjects["WINDOWSHADINGCONTROL"] if c.Name == "Window_0_MY_SHADE_control" @@ -1214,14 +1226,21 @@ def test_set_blind(self, toy_building): assert default_blind.Slat_Angle == pytest.approx(45) assert default_blind.Slat_Separation == pytest.approx(0.07) - assert "DEFAULT_BLIND_CONSTRUCTION" in {c.Name for c in loc.idf.idfobjects["CONSTRUCTION"]} + # ExteriorBlind (default Shading_Type) -> blind is the outermost layer, + # the window's base glazing ("Ext_win_2") is kept as the next layer + blind_construction = loc.idf.getobject("Construction", "Construction_Ext_win_2_DEFAULT_BLIND") + assert blind_construction is not None + assert blind_construction.Outside_Layer == "DEFAULT_BLIND" + assert blind_construction.Layer_2 == "Ext_win_2" controls = loc.idf.idfobjects["WINDOWSHADINGCONTROL"] ctrl = next((c for c in controls if c.Name == "Window_0_DEFAULT_BLIND_control"), None) assert ctrl is not None + assert ctrl.Zone_Name == "zone_0" assert ctrl.Shading_Type == "ExteriorBlind" # default Shading_Type - assert ctrl.Construction_with_Shading_Name == "DEFAULT_BLIND_CONSTRUCTION" + assert ctrl.Construction_with_Shading_Name == "Construction_Ext_win_2_DEFAULT_BLIND" assert ctrl.Shading_Control_Type == "OnIfScheduleAllows" + assert ctrl.Shading_Control_Is_Scheduled == "Yes" assert not any(c.Name == "Window_1_DEFAULT_BLIND_control" for c in controls) # preset "venetian_indoor": InteriorBlind, Slat_Angle=45, reflectance=0.7 @@ -1289,14 +1308,21 @@ def test_set_screen(self, toy_building): ) assert default_screen.Reflected_Beam_Transmittance_Accounting_Method == "ModelAsDiffuse" - assert "DEFAULT_SCREEN_CONSTRUCTION" in {c.Name for c in loc.idf.idfobjects["CONSTRUCTION"]} + # ExteriorScreen -> the screen is the outermost layer, the window's + # base glazing ("Ext_win_2") is kept as the next layer + screen_construction = loc.idf.getobject("Construction", "Construction_Ext_win_2_DEFAULT_SCREEN") + assert screen_construction is not None + assert screen_construction.Outside_Layer == "DEFAULT_SCREEN" + assert screen_construction.Layer_2 == "Ext_win_2" controls = loc.idf.idfobjects["WINDOWSHADINGCONTROL"] ctrl = next((c for c in controls if c.Name == "Window_0_DEFAULT_SCREEN_control"), None) assert ctrl is not None + assert ctrl.Zone_Name == "zone_0" assert ctrl.Shading_Type == "ExteriorScreen" - assert ctrl.Construction_with_Shading_Name == "DEFAULT_SCREEN_CONSTRUCTION" + assert ctrl.Construction_with_Shading_Name == "Construction_Ext_win_2_DEFAULT_SCREEN" assert ctrl.Shading_Control_Type == "OnIfScheduleAllows" + assert ctrl.Shading_Control_Is_Scheduled == "Yes" assert not any(c.Name == "Window_1_DEFAULT_SCREEN_control" for c in controls) # explicit native fields override the Perforation_Ratio/Pitch derivation From 4efbccb4ecbdd3d449e421af7dcf19208e835ced Mon Sep 17 00:00:00 2001 From: Tesshub Date: Fri, 21 Aug 2026 16:02:18 +0200 Subject: [PATCH 7/7] =?UTF-8?q?=F0=9F=93=9D=20update=20CH3=20tutorial:=20B?= =?UTF-8?q?SDF=20import=20modes,=20screen,=20comparison=20demo?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit - document set_screen and both set_complex_fenestration_state input modes (idf_fragment_path from WINDOW, raw description matrices) - fix non-uniform louver demo to use Positions within the actual window height, and drop the building's pre-existing context shading before the first plot_idf_geometry call - add a classic Blind vs BSDF comparison on a dedicated mini building (resources/mini_compare_building.idf), simulating transmitted solar radiation for the same slat geometry represented via WindowMaterial:Blind vs a real WINDOW export (resources/horizontal_venetian_blind_Bsdf.idf), with a caveat on what the observed difference is (and isn't) explained by Co-Authored-By: Claude Sonnet 5 --- tutorials/CH3_Building_Modifier.ipynb | 394 ++- .../horizontal_venetian_blind_Bsdf.idf | 2313 +++++++++++++++++ tutorials/resources/mini_compare_building.idf | 300 +++ 3 files changed, 2948 insertions(+), 59 deletions(-) create mode 100644 tutorials/resources/horizontal_venetian_blind_Bsdf.idf create mode 100644 tutorials/resources/mini_compare_building.idf diff --git a/tutorials/CH3_Building_Modifier.ipynb b/tutorials/CH3_Building_Modifier.ipynb index f070cfd..c0dc436 100644 --- a/tutorials/CH3_Building_Modifier.ipynb +++ b/tutorials/CH3_Building_Modifier.ipynb @@ -737,61 +737,7 @@ { "metadata": {}, "cell_type": "markdown", - "source": [ - "# 1.3 Shading modifiers\n", - "\n", - "EnergyTool provides several modifiers to create and manipulate solar shading systems.\n", - "\n", - "These modifiers can be grouped into three categories:\n", - "\n", - "### Geometric shadings\n", - "\n", - "Physical geometries added around windows:\n", - "\n", - "- `overhang`\n", - "- `sidefins`\n", - "- `horizontal_louvers`\n", - "- `vertical_louvers`\n", - "\n", - "These objects create actual `Shading:Zone:Detailed` surfaces in EnergyPlus and can be visualized directly using `plot_idf_geometry()`.\n", - "\n", - "Functions:\n", - "\n", - "```python\n", - "set_shading_geometry(...)\n", - "set_shading_properties(...)\n", - "set_shading_object(...)\n", - "```\n", - "\n", - "### Optical properties\n", - "\n", - "Optical properties can be assigned to shading surfaces:\n", - "\n", - "- solar reflectance\n", - "- visible reflectance\n", - "- glazing fraction\n", - "- transmittance schedules\n", - "\n", - "Function:\n", - "\n", - "```python\n", - "set_shading_properties(...)\n", - "```\n", - "\n", - "### Shades and blinds\n", - "\n", - "EnergyPlus also supports shading systems attached directly to glazing:\n", - "\n", - "- `Shade` (textile screens, roller shades)\n", - "- `Blind` (venetian blinds, BSO)\n", - "\n", - "Functions:\n", - "\n", - "```python\n", - "set_shade(...)\n", - "set_blind(...)\n", - "```\n" - ] + "source": "# 1.3 Shading modifiers\n\nEnergyTool provides several modifiers to create and manipulate solar shading systems.\n\nThese modifiers can be grouped into four categories:\n\n### Geometric shadings\n\nPhysical geometries added around windows:\n\n- `overhang`\n- `sidefins`\n- `horizontal_louvers`\n- `vertical_louvers`\n- `eggcrate` (a crossed grid of horizontal and vertical louvers, e.g. a \"caisson\" brise-soleil)\n\n`horizontal_louvers`, `vertical_louvers` and `eggcrate` also accept non-uniform `Positions`/`Tilts`, overriding the default constant `Spacing`/`Tilt`.\n\nThese objects create actual `Shading:Zone:Detailed` surfaces in EnergyPlus and can be visualized directly using `plot_idf_geometry()`.\n\nFunctions:\n\n```python\nset_shading_geometry(...)\nset_shading_properties(...)\nset_shading_object(...)\n```\n\n### Optical properties\n\nOptical properties can be assigned to shading surfaces:\n\n- solar reflectance\n- visible reflectance\n- glazing fraction\n- transmittance schedules\n\nFunction:\n\n```python\nset_shading_properties(...)\n```\n\n### Shades, blinds and screens\n\nEnergyPlus also supports shading systems attached directly to glazing:\n\n- `Shade` (textile screens, roller shades)\n- `Blind` (venetian blinds, BSO)\n- `Screen` (perforated panels, e.g. perforated sheet metal)\n\nFunctions:\n\n```python\nset_shade(...)\nset_blind(...)\nset_screen(...)\n```\n\n### Complex fenestration state (BSDF)\n\nFor shading geometries whose angular optical behaviour is not captured by the models above (irregular perforation patterns, woven fabrics, diagrid brise-soleil...), a BSDF-based `Construction:ComplexFenestrationState` can be assembled from externally computed angular scattering matrices.\n\nFunction:\n\n```python\nset_complex_fenestration_state(...)\n```\n" }, { "metadata": {}, @@ -813,6 +759,13 @@ "source": [ "from energytool.tools import plot_idf_geometry\n", "\n", + "# tuto_building.idf ships with pre-existing context shading (neighbouring\n", + "# buildings, as \"Shading:Building:Detailed\"). It has nothing to do with\n", + "# this tutorial, so we remove it here (in memory only - the .idf file on\n", + "# disk is untouched) to start from a clean, shading-free baseline.\n", + "for obj in list(building.idf.idfobjects[\"Shading:Building:Detailed\"]):\n", + " building.idf.removeidfobject(obj)\n", + "\n", "plot_idf_geometry(\n", " building,\n", " color_mode=\"surface_type\",\n", @@ -851,6 +804,68 @@ "outputs": [], "execution_count": null }, + { + "cell_type": "markdown", + "metadata": {}, + "source": "Louver positions and tilt angles do not have to be uniform. Passing explicit `Positions` (and optionally `Tilts`) overrides `Spacing`/`Tilt`, which is useful to represent an irregular brise-soleil pattern (e.g. denser slats near eye level, or a progressive tilt).\n\n`Positions` are absolute distances (in meters), measured downward from *that window's own* top edge - they are not validated against the window's height, so a value larger than the window is tall will place a louver below the sill, on the wall. Because window heights vary across this building (0.92 m here, 1.82 m elsewhere), the example below targets a single window rather than all of them." + }, + { + "cell_type": "code", + "metadata": {}, + "source": [ + "louver_building = deepcopy(building)\n", + "\n", + "# This window is 0.92 m tall (z=0.073 to 0.993); Positions are measured\n", + "# downward from its top edge, so they must stay within that range.\n", + "set_shading_geometry(\n", + " model=louver_building,\n", + " shading_type=\"horizontal_louvers\",\n", + " description={\n", + " \"Depth\": 0.3,\n", + " \"Positions\": [0.1, 0.4, 0.7],\n", + " \"Tilts\": [0, 15, 30],\n", + " },\n", + " name_filter=\"Block1:ApptX1W_Wall_3_0_0_0_0_0_Win\",\n", + ")\n", + "\n", + "plot_idf_geometry(\n", + " louver_building,\n", + " color_mode=\"surface_type\",\n", + ")" + ], + "outputs": [], + "execution_count": null + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": "A crossed grid of horizontal and vertical louvers - an \"eggcrate\" or \"caisson\" brise-soleil - is available as its own `shading_type`. Each direction has independent parameters, suffixed `_H` and `_V` (`Depth_H`/`Depth_V`, `Spacing_H`/`Spacing_V`, `Tilt_H`/`Tilt_V`, and the same `Positions_H`/`Positions_V`, `Tilts_H`/`Tilts_V` overrides as above)." + }, + { + "cell_type": "code", + "metadata": {}, + "source": [ + "eggcrate_building = deepcopy(building)\n", + "\n", + "set_shading_geometry(\n", + " model=eggcrate_building,\n", + " shading_type=\"eggcrate\",\n", + " description={\n", + " \"Depth_H\": 0.3,\n", + " \"Spacing_H\": 0.4,\n", + " \"Depth_V\": 0.3,\n", + " \"Spacing_V\": 0.4,\n", + " },\n", + ")\n", + "\n", + "plot_idf_geometry(\n", + " eggcrate_building,\n", + " color_mode=\"surface_type\",\n", + ")" + ], + "outputs": [], + "execution_count": null + }, { "metadata": {}, "cell_type": "markdown", @@ -953,13 +968,36 @@ "execution_count": null }, { - "metadata": {}, "cell_type": "markdown", + "metadata": {}, + "source": "A `Screen` represents a perforated panel (e.g. perforated sheet metal) rather than a flat shade. Its optical behaviour comes from the panel's perforation pattern instead of a single transmittance value, so it is described with a wire/hole `Diameter` and `Spacing`.\n\nInstead of these EnergyPlus-native fields, `set_screen()` also accepts a convenience `Perforation_Ratio` (open area fraction) and `Pitch` (perforation spacing), which are converted to `Screen_Material_Diameter`/`Screen_Material_Spacing` automatically." + }, + { + "cell_type": "code", + "metadata": {}, "source": [ - "Unlike geometric shading surfaces, shades and blinds are not visible in `plot_idf_geometry()`.\n", + "from energytool.modifier import set_screen\n", "\n", - "Their presence can be verified by inspecting the generated `WindowMaterial:Shade`, `WindowMaterial:Blind` and `WindowShadingControl` objects in the IDF model." - ] + "screen_building = deepcopy(building)\n", + "\n", + "set_screen(\n", + " model=screen_building,\n", + " description={\n", + " \"Name\": \"PERFORATED_PANEL\",\n", + " \"Perforation_Ratio\": 0.35,\n", + " \"Pitch\": 0.008,\n", + " },\n", + ")\n", + "\n", + "screen_building.idf.idfobjects[\"WINDOWMATERIAL:SCREEN\"]" + ], + "outputs": [], + "execution_count": null + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": "Unlike geometric shading surfaces, shades, blinds and screens are not visible in `plot_idf_geometry()`.\n\nTheir presence can be verified by inspecting the generated `WindowMaterial:Shade`, `WindowMaterial:Blind`, `WindowMaterial:Screen` and `WindowShadingControl` objects in the IDF model." }, { "metadata": {}, @@ -1083,6 +1121,244 @@ "outputs": [], "execution_count": null }, + { + "cell_type": "markdown", + "metadata": {}, + "source": "## Complex fenestration state (BSDF)\n\nSome brise-soleil geometries are too irregular for a simple transmittance value (`set_shading_properties`) or for the semi-empirical `WindowMaterial:Screen` model (`set_screen`) to capture their angular optical behaviour correctly - for instance an irregular perforation pattern, a woven fabric, or a diagrid brise-soleil.\n\nFor these cases, EnergyPlus supports a `Construction:ComplexFenestrationState` (BSDF), built from angular scattering matrices that EnergyPlus cannot derive itself. `set_complex_fenestration_state()` supports two ways of providing them - pass exactly one:\n\n- **`idf_fragment_path`** (recommended for LBNL WINDOW users): WINDOW's \"Export to EnergyPlus (BSDF)\" feature does not export raw matrices - it exports a complete, ready-to-use IDF fragment already containing the glazing/shade/gas/gap layers, the thermal model, the matrices and the `Construction:ComplexFenestrationState` itself, all pre-computed and mutually consistent. This modifier loads that fragment and copies its objects into the model as-is - no optical calculation is redone. If an object (e.g. a shared glazing layer) already exists with identical values, it is reused rather than duplicated; a genuine conflict (same name, different values) is resolved by renaming the incoming object, and that rename is propagated to whatever references it.\n- **`description`** (raw matrix files): for matrices computed independently of WINDOW (e.g. a custom `pywincalc` script), pass the individual matrix text files directly, as shown further below.\n\nA raw `genBSDF`/Radiance BSDF XML file is **not** supported directly by either mode: it only carries one broadband dataset with no EnergyPlus Basis Matrix or layer absorptance data, so producing a correct construction from it requires optical calculations this modifier does not perform. Run it through WINDOW (or `pywincalc`) first to obtain an IDF fragment, then use `idf_fragment_path`.\n\nThe fragment used below is a synthetic, minimal stand-in (tiny 2x2 matrices, no real optics) purely to demonstrate the import mechanics - a real project would point `idf_fragment_path` at an actual WINDOW export." + }, + { + "cell_type": "code", + "metadata": {}, + "source": [ + "import tempfile\n", + "from io import StringIO\n", + "from eppy.modeleditor import IDF\n", + "from energytool.modifier import set_complex_fenestration_state\n", + "\n", + "# Build a minimal, synthetic stand-in for a WINDOW \"export to EnergyPlus\n", + "# (BSDF)\" fragment: a glazing + a complex shade + a gas gap + a thermal\n", + "# model + a couple of 2x2 placeholder matrices, tied together by a\n", + "# Construction:ComplexFenestrationState. A real project would use an\n", + "# actual .idf file exported by WINDOW instead of building one here.\n", + "fragment = IDF(StringIO(\"\"))\n", + "fragment.idfname = None\n", + "\n", + "fragment.newidfobject(\n", + " \"WindowMaterial:Glazing\",\n", + " Name=\"Demo_BSDF_Glazing\",\n", + " Optical_Data_Type=\"BSDF\",\n", + " Thickness=0.006,\n", + ")\n", + "fragment.newidfobject(\"WindowMaterial:ComplexShade\", Name=\"Demo_BSDF_Shade\")\n", + "fragment.newidfobject(\"WindowMaterial:Gas\", Name=\"Demo_BSDF_Gas\", Gas_Type=\"Air\", Thickness=0.012)\n", + "fragment.newidfobject(\n", + " \"WindowMaterial:Gap\", Name=\"Demo_BSDF_Gap\", Thickness=0.012, Gas_or_Gas_Mixture=\"1\"\n", + ")\n", + "fragment.newidfobject(\n", + " \"WindowThermalModel:Params\", Name=\"Demo_BSDF_ThermalModel\", standard=\"ISO15099\"\n", + ")\n", + "\n", + "matrix_names = {}\n", + "for key in [\"Basis\", \"TfSol\", \"RbSol\", \"Tfvis\", \"Rbvis\", \"fAbs\", \"bAbs\"]:\n", + " name = f\"Demo_BSDF_{key}\"\n", + " fragment.newidfobject(\n", + " \"Matrix:TwoDimension\",\n", + " Name=name,\n", + " Number_of_Rows=2,\n", + " Number_of_Columns=2,\n", + " Value_1=0.1, Value_2=0.2, Value_3=0.3, Value_4=0.4,\n", + " )\n", + " matrix_names[key] = name\n", + "\n", + "fragment.newidfobject(\n", + " \"Construction:ComplexFenestrationState\",\n", + " Name=\"Demo_BSDF_State\",\n", + " Basis_Type=\"LBNLWINDOW\",\n", + " Basis_Symmetry_Type=\"None\",\n", + " Window_Thermal_Model=\"Demo_BSDF_ThermalModel\",\n", + " Basis_Matrix_Name=matrix_names[\"Basis\"],\n", + " Solar_Optical_Complex_Front_Transmittance_Matrix_Name=matrix_names[\"TfSol\"],\n", + " Solar_Optical_Complex_Back_Reflectance_Matrix_Name=matrix_names[\"RbSol\"],\n", + " Visible_Optical_Complex_Front_Transmittance_Matrix_Name=matrix_names[\"Tfvis\"],\n", + " Visible_Optical_Complex_Back_Transmittance_Matrix_Name=matrix_names[\"Rbvis\"],\n", + " Outside_Layer_Name=\"Demo_BSDF_Shade\",\n", + " Outside_Layer_Directional_Front_Absoptance_Matrix_Name=matrix_names[\"fAbs\"],\n", + " Outside_Layer_Directional_Back_Absoptance_Matrix_Name=matrix_names[\"bAbs\"],\n", + " Gap_1_Name=\"Demo_BSDF_Gap\",\n", + ")\n", + "\n", + "fragment_path = Path(tempfile.mkdtemp()) / \"demo_bsdf_fragment.idf\"\n", + "fragment.saveas(str(fragment_path))\n", + "\n", + "bsdf_building = deepcopy(building)\n", + "\n", + "state_name = set_complex_fenestration_state(\n", + " model=bsdf_building,\n", + " idf_fragment_path=str(fragment_path),\n", + " name_filter=\"Block1:ApptX1W_Wall_3_0_0_0_0_0_Win\",\n", + ")\n", + "\n", + "state_name, bsdf_building.idf.idfobjects[\"CONSTRUCTION:COMPLEXFENESTRATIONSTATE\"]" + ], + "outputs": [], + "execution_count": null + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": "The alternative `description` mode takes individual matrix files directly - useful when the matrices come from a custom calculation rather than a WINDOW export. The cell below uses tiny placeholder matrices purely to demonstrate the API - a real project would point to genuine BSDF files instead." + }, + { + "cell_type": "code", + "metadata": {}, + "source": [ + "import numpy as np\n", + "import tempfile\n", + "from pathlib import Path\n", + "\n", + "bsdf_dir = Path(tempfile.mkdtemp())\n", + "\n", + "# Placeholder 4x4 matrices - replace with real BSDF data\n", + "# (a custom pywincalc/genBSDF calculation, for instance)\n", + "matrix_keys = [\n", + " \"Basis_Matrix\",\n", + " \"Solar_Front_Transmittance\",\n", + " \"Solar_Back_Reflectance\",\n", + " \"Visible_Front_Transmittance\",\n", + " \"Visible_Back_Transmittance\",\n", + " \"Outside_Layer_Front_Absorptance\",\n", + " \"Outside_Layer_Back_Absorptance\",\n", + "]\n", + "matrix_paths = {}\n", + "for key in matrix_keys:\n", + " path = bsdf_dir / f\"{key}.txt\"\n", + " np.savetxt(path, np.eye(4) * 0.1 + 0.05)\n", + " matrix_paths[key] = str(path)\n", + "\n", + "raw_bsdf_building = deepcopy(building)\n", + "\n", + "set_complex_fenestration_state(\n", + " model=raw_bsdf_building,\n", + " description={\n", + " \"Name\": \"BSDF_BRISE_SOLEIL\",\n", + " \"Outside_Layer_Name\": \"Simple window_B4R_simple - modified\",\n", + " **matrix_paths,\n", + " },\n", + ")\n", + "\n", + "raw_bsdf_building.idf.idfobjects[\"CONSTRUCTION:COMPLEXFENESTRATIONSTATE\"]" + ], + "outputs": [], + "execution_count": null + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": "## Comparing shading models: classic Blind vs BSDF\n\nThe same physical horizontal venetian blind can be represented in EnergyPlus two different ways:\n\n- **Classic model** (`set_blind`): an analytical `WindowMaterial:Blind`, parametrized by slat geometry (width, spacing, thickness, angle) - fast, but based on a simplified optical model.\n- **BSDF model** (`set_complex_fenestration_state` with `idf_fragment_path`): the *exact same* slat geometry, but with its angular optical behaviour measured/ray-traced by LBNL WINDOW and imported as a `Construction:ComplexFenestrationState` (`resources/horizontal_venetian_blind_Bsdf.idf`, a real WINDOW export).\n\nBoth configurations below use identical slat parameters (0.10 m wide, 0.155 m spacing, 25 mm thick, 45° tilt) - comparing them isolates the effect of the optical model itself, everything else being equal.\n\nTo keep the comparison focused and fast, a small dedicated single-zone building (`resources/mini_compare_building.idf`) is used here instead of the multi-zone `tuto_building.idf` from the rest of this tutorial." + }, + { + "cell_type": "code", + "metadata": {}, + "source": [ + "compare_base_building = Building(\n", + " idf_path=Path(TUTORIAL_DIR) / \"resources/mini_compare_building.idf\"\n", + ")" + ], + "outputs": [], + "execution_count": null + }, + { + "cell_type": "code", + "metadata": {}, + "source": [ + "# Same physical slat geometry for both models\n", + "SLAT_PARAMS = {\n", + " \"Slat_Width\": 0.10,\n", + " \"Slat_Separation\": 0.155,\n", + " \"Slat_Thickness\": 0.025,\n", + " \"Slat_Angle\": 45,\n", + " \"Slat_Conductivity\": 0.15,\n", + "}\n", + "\n", + "classic_blind_building = deepcopy(compare_base_building)\n", + "update_idf_objects(\n", + " classic_blind_building,\n", + " {\"ALWAYS_ON\": {\"Name\": \"ALWAYS_ON\", \"Schedule_Type_Limits_Name\": \"Fraction\", \"Hourly_Value\": 1}},\n", + " \"Schedule:Constant\",\n", + ")\n", + "set_blind(\n", + " model=classic_blind_building,\n", + " description={\"Name\": \"COMPARE_BLIND\", \"Schedule\": \"ALWAYS_ON\", **SLAT_PARAMS},\n", + ")\n", + "\n", + "bsdf_blind_building = deepcopy(compare_base_building)\n", + "set_complex_fenestration_state(\n", + " model=bsdf_blind_building,\n", + " idf_fragment_path=Path(TUTORIAL_DIR) / \"resources/horizontal_venetian_blind_Bsdf.idf\",\n", + ")\n", + "\n", + "for compare_building in (classic_blind_building, bsdf_blind_building):\n", + " compare_building.add_system(\n", + " Sensor(\n", + " name=\"TransmittedSolar\",\n", + " variables=\"Surface Window Transmitted Solar Radiation Rate\",\n", + " key_values=\"Window1\",\n", + " )\n", + " )" + ], + "outputs": [], + "execution_count": null + }, + { + "cell_type": "code", + "metadata": {}, + "source": [ + "compare_sim_opt = {\n", + " SimuOpt.EPW_FILE.value: Path(TUTORIAL_DIR) / r\"resources/FRA_Bordeaux.075100_IWEC.epw\",\n", + " SimuOpt.OUTPUTS.value: \"SENSOR\",\n", + " SimuOpt.START.value: \"2025-07-01\",\n", + " SimuOpt.STOP.value: \"2025-07-05\",\n", + " SimuOpt.VERBOSE.value: \"q\",\n", + "}\n", + "\n", + "res_classic_blind = classic_blind_building.simulate(simulation_options=compare_sim_opt)\n", + "res_bsdf_blind = bsdf_blind_building.simulate(simulation_options=compare_sim_opt)" + ], + "outputs": [], + "execution_count": null + }, + { + "cell_type": "code", + "metadata": {}, + "source": [ + "import pandas as pd\n", + "import plotly.express as px\n", + "\n", + "transmitted_col_classic = [c for c in res_classic_blind.columns if \"Transmitted\" in c][0]\n", + "transmitted_col_bsdf = [c for c in res_bsdf_blind.columns if \"Transmitted\" in c][0]\n", + "\n", + "compare_df = pd.DataFrame({\n", + " \"Classic Blind\": res_classic_blind[transmitted_col_classic],\n", + " \"BSDF Blind\": res_bsdf_blind[transmitted_col_bsdf],\n", + "})\n", + "\n", + "fig = px.line(\n", + " compare_df,\n", + " title=\"Transmitted solar radiation through the window - classic Blind vs BSDF\",\n", + ")\n", + "fig.update_layout(yaxis_title=\"Transmitted Solar Radiation Rate (W)\")\n", + "fig.show()\n", + "\n", + "compare_df.sum().rename(\"Total transmitted solar radiation rate, summed over reporting timesteps (W)\")" + ], + "outputs": [], + "execution_count": null + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": "**On the difference between the two results**\n\nThe two curves are not a perfectly clean, single-variable comparison - part of the gap comes from something other than the shading device's optics:\n\n1. **The calculation method itself.** `set_blind`'s `WindowMaterial:Blind` is a simplified analytical optical model, while the BSDF `Construction:ComplexFenestrationState` uses real angular scattering data measured/ray-traced by LBNL WINDOW. Some of the difference genuinely reflects this: two different ways of computing transmitted solar radiation through the same slat geometry.\n\n2. **The underlying glazing is not identical.** `idf_fragment_path` doesn't just add a shading layer - it replaces the window's *entire* construction with the one WINDOW exported, which brings along its own real glazing layers (`Glass_3083_Layer`, `Glass_26516_Layer`). `set_blind`, on the other hand, only adds the blind on top of this tutorial's placeholder glazing (`WindowMaterial:SimpleGlazingSystem`, UFactor 2.0, SHGC 0.6) - almost certainly not the same glass as the one used when `horizontal_venetian_blind_Bsdf.idf` was generated in WINDOW. Some of the observed difference is therefore confounded by mismatched glazing properties, not the shading device alone.\n\nA stricter comparison would extract the BSDF export's own glazing properties and mirror them in the classic-blind construction (or compare two BSDF states sharing the exact same glazing)." + }, { "metadata": {}, "cell_type": "code", diff --git a/tutorials/resources/horizontal_venetian_blind_Bsdf.idf b/tutorials/resources/horizontal_venetian_blind_Bsdf.idf new file mode 100644 index 0000000..7bffeab --- /dev/null +++ b/tutorials/resources/horizontal_venetian_blind_Bsdf.idf @@ -0,0 +1,2313 @@ +! Window Material/Construction file with spectral data in IDF format +! Generated by BERKELEY LAB WINDOW v7.8.74.0 + + +!----------------------------------------------------- +! Window Glass Layers +!----------------------------------------------------- + +WindowMaterial:Glazing, +Glass_3083_Layer, !- Layer name : C_Lam88.1.grd +BSDF, !- Optical Data Type +Glass_3083_Layer_SpecDat, !- Spectral Data name +0.015697, !- Thickness +, !- Solar Transmittance +, !- Solar Front Reflectance +, !- Solar Back Reflectance +, !- Visible Transmittance +, !- Visible Front Reflectance +, !- Visible Back reflectance +0.000000, !- IR Transmittance +0.840000, !-Front Emissivity +0.840000, !-Back Emissivity +0.848043, !-Conductivity +, !-Dirt Correction Factor for Sol/Vis Transmittance +, !-Solar Diffusing +7.2e10, !-Young’s modulus +0.22; !-Poisson’s ratio + + +WindowMaterial:Glazing, +Glass_26516_Layer, !- Layer name : Clear_6.gri +BSDF, !- Optical Data Type +Glass_26516_Layer_SpecDat, !- Spectral Data name +0.005751, !- Thickness +, !- Solar Transmittance +, !- Solar Front Reflectance +, !- Solar Back Reflectance +, !- Visible Transmittance +, !- Visible Front Reflectance +, !- Visible Back reflectance +0.000000, !- IR Transmittance +0.840000, !-Front Emissivity +0.840000, !-Back Emissivity +1.000345, !-Conductivity +, !-Dirt Correction Factor for Sol/Vis Transmittance +, !-Solar Diffusing +7.2e10, !-Young’s modulus +0.22; !-Poisson’s ratio + + +!---------------------------------------------------------------------- +! Complex Shade +!---------------------------------------------------------------------- + +WindowMaterial:ComplexShade, +Shade_53012_Layer, !- name : HORIZ_MINUS +VenetianHorizontal, !- type +2.500000e-02, !- layer thickness +1.500000e-01, !- layer conductivity +4.848879e-01, !- layer IR transmittance +4.619764e-01, !- layer front emissivity +4.619764e-01, !- layer back emissivity +0.000000e+00, !- TopOpeningRatio +0.000000e+00, !- BottomOpeningRatio +0.000000e+00, !- LeftSideOpeningRatio +0.000000e+00, !- RightSideOpeningRatio +8.428650e-01, !- FrontOpeningRatio +0.1000, !- venetian slat width +0.1550, !- venetian slat spacing +0.0250, !- venetian slat thickness +45.0000, !- venetian slat angle +0.1500, !- venetian slat conductivity +0.0000; !- venetian slat curve + + +!---------------------------------------------------------------------- +! Window Gas Layers +!---------------------------------------------------------------------- + +WindowMaterial:Gas, +Gap_1_W_0_0010, !- gap name - Air +Air, !- type +0.0010; !- thickness + + +WindowMaterial:Gas, +Gap_1_W_0_0030, !- gap name - Air +Air, !- type +0.0030; !- thickness + + +!---------------------------------------------------------------------- +! Window Gap Layers +!---------------------------------------------------------------------- + +WindowMaterial:Gap, +Gap_1_Glz_70_Layer_1, !- gap name: Air +0.0010, !- thickness +Gap_1_W_0_0010, !- Gas (or Gas Mixture) name +101325.0000; !- pressure + + +WindowMaterial:Gap, +Gap_1_Glz_70_Layer_2, !- gap name: Air +0.0030, !- thickness +Gap_1_W_0_0030, !- Gas (or Gas Mixture) name +101325.0000; !- pressure + + +!---------------------------------------------------------------------- +! Thermal Model Params +!---------------------------------------------------------------------- + +WindowThermalModel:Params, +ThermParam_Glz_70, !- name +ISO15099, !- standard +ISO15099, !- thermal model +1.0000, !- SDScalar +NoDeflection; !- deflection model + + +!---------------------------------------------------------------------- +! Complex Fenestration State +!---------------------------------------------------------------------- + +Construction:ComplexFenestrationState, +CFS_Glz_70, !- name +LBNLWindow, !- basis type +None, !- basis symmetry type +ThermParam_Glz_70, !- window thermal model +CFS_Glz_70_Basis, !- basis matrix name +CFS_Glz_70_TfSol, !- Tfsol +CFS_Glz_70_RbSol, !- Rbsol +CFS_Glz_70_Tfvis, !- Tfvis +CFS_Glz_70_Rbvis, !- Rbvis +Shade_53012_Layer, !- layer 1 name +CFS_Glz_70_Layer_1_fAbs, !- fAbs +CFS_Glz_70_Layer_1_bAbs, !- bAbs +Gap_1_Glz_70_Layer_1, !- gap 1 name +, +, +Glass_3083_Layer, !- layer 2 name +CFS_Glz_70_Layer_2_fAbs, !- fAbs +CFS_Glz_70_Layer_2_bAbs, !- bAbs +Gap_1_Glz_70_Layer_2, !- gap 2 name +, +, +Glass_26516_Layer, !- layer 3 name +CFS_Glz_70_Layer_3_fAbs, !- fAbs +CFS_Glz_70_Layer_3_bAbs; !- bAbs + + +!---------------------------------------------------------------------- +! Basis Matrix +!---------------------------------------------------------------------- + +Matrix:TwoDimension, +CFS_Glz_70_Basis, !- basis matrix name +9, !- number of row +2, !- number of colum +0.00000, 1.00000, +10.00000, 8.00000, +20.00000, 16.00000, +30.00000, 20.00000, +40.00000, 24.00000, +50.00000, 24.00000, +60.00000, 24.00000, +70.00000, 16.00000, +82.50000, 12.00000; + + +!---------------------------------------------------------------------- +! Matrix Data +!---------------------------------------------------------------------- + +Matrix:TwoDimension, +CFS_Glz_70_TfSol, +145,145, + 11.68315, 0.00206, 0.00216, 0.00221, 0.00216, 0.00206, 0.00198, 0.00195, 0.00198, 0.00205, 0.00217, 0.00230, 0.00239, 0.00243, 0.00239, 0.00230, 0.00218, 0.00205, 0.00197, 0.00192, 0.00190, 0.00190, 0.00190, 0.00192, 0.00197, 0.00207, 0.00223, 0.00242, 0.00260, 0.00273, 0.00278, 0.00273, 0.00260, 0.00242, 0.00223, 0.00207, 0.00196, 0.00191, 0.00190, 0.00191, 0.00191, + 0.00191, 0.00190, 0.00191, 0.00196, 0.00213, 0.00236, 0.00265, 0.00296, 0.00323, 0.00341, 0.00348, 0.00341, 0.00323, 0.00296, 0.00265, 0.00236, 0.00213, 0.00198, 0.00192, 0.00193, 0.00197, 0.00201, 0.00203, 0.00201, 0.00197, 0.00193, 0.00192, 0.00198, 0.00231, 0.00278, 0.00340, 0.00406, 0.00507, 0.00697, 0.00762, 0.00697, 0.00507, 0.00406, 0.00340, 0.00278, 0.00231, + 0.00204, 0.00197, 0.00204, 0.00218, 0.00231, 0.00236, 0.00231, 0.00218, 0.00204, 0.00197, 0.00204, 0.00277, 0.00398, 0.00562, 0.00974, 0.01328, 0.01551, 0.01627, 0.01551, 0.01328, 0.00974, 0.00562, 0.00398, 0.00277, 0.00214, 0.00207, 0.00234, 0.00217, 0.00206, 0.00202, 0.00206, 0.00217, 0.00234, 0.00207, 0.00214, 0.00382, 0.01057, 0.02138, 0.02779, 0.03019, 0.02800, + 0.02138, 0.01129, 0.00382, 0.00218, 0.00194, 0.00172, 0.00166, 0.00172, 0.00194, 0.00223, 0.00655, 0.03505, 0.03507, 0.03508, 0.03507, 0.03505, 0.00655, 0.00154, 0.00137, 0.00132, 0.00137, 0.00154, 0.00205, 11.92175, 0.00215, 0.00220, 0.00215, 0.00205, 0.00197, 0.00195, 0.00197, 0.00205, 0.00216, 0.00229, 0.00239, 0.00242, 0.00239, 0.00229, 0.00217, 0.00205, 0.00197, + 0.00192, 0.00190, 0.00189, 0.00190, 0.00192, 0.00196, 0.00206, 0.00223, 0.00242, 0.00260, 0.00273, 0.00278, 0.00273, 0.00260, 0.00242, 0.00223, 0.00206, 0.00196, 0.00190, 0.00189, 0.00190, 0.00191, 0.00190, 0.00189, 0.00190, 0.00196, 0.00213, 0.00235, 0.00264, 0.00295, 0.00322, 0.00341, 0.00347, 0.00341, 0.00322, 0.00295, 0.00264, 0.00235, 0.00213, 0.00198, 0.00192, + 0.00192, 0.00196, 0.00200, 0.00202, 0.00200, 0.00196, 0.00192, 0.00192, 0.00198, 0.00231, 0.00277, 0.00339, 0.00405, 0.00506, 0.00696, 0.00760, 0.00696, 0.00506, 0.00405, 0.00339, 0.00277, 0.00231, 0.00204, 0.00196, 0.00203, 0.00218, 0.00231, 0.00235, 0.00231, 0.00218, 0.00203, 0.00196, 0.00204, 0.00277, 0.00397, 0.00561, 0.00972, 0.01325, 0.01547, 0.01622, 0.01547, + 0.01325, 0.00972, 0.00561, 0.00397, 0.00277, 0.00214, 0.00206, 0.00233, 0.00216, 0.00205, 0.00202, 0.00205, 0.00216, 0.00233, 0.00206, 0.00214, 0.00381, 0.01055, 0.02132, 0.02772, 0.03010, 0.02792, 0.02132, 0.01126, 0.00381, 0.00218, 0.00194, 0.00172, 0.00166, 0.00171, 0.00194, 0.00222, 0.00653, 0.03496, 0.03498, 0.03498, 0.03498, 0.03496, 0.00653, 0.00153, 0.00136, + 0.00132, 0.00136, 0.00153, 0.00180, 0.00179, 13.16834, 0.00193, 0.00189, 0.00179, 0.00173, 0.00170, 0.00173, 0.00179, 0.00189, 0.00201, 0.00209, 0.00212, 0.00209, 0.00201, 0.00190, 0.00179, 0.00172, 0.00168, 0.00166, 0.00166, 0.00166, 0.00168, 0.00172, 0.00181, 0.00195, 0.00211, 0.00227, 0.00239, 0.00243, 0.00239, 0.00227, 0.00211, 0.00195, 0.00181, 0.00171, 0.00167, + 0.00166, 0.00166, 0.00167, 0.00166, 0.00166, 0.00167, 0.00171, 0.00186, 0.00206, 0.00231, 0.00258, 0.00282, 0.00298, 0.00304, 0.00298, 0.00282, 0.00258, 0.00231, 0.00206, 0.00186, 0.00173, 0.00168, 0.00168, 0.00172, 0.00175, 0.00177, 0.00175, 0.00172, 0.00168, 0.00168, 0.00173, 0.00202, 0.00243, 0.00297, 0.00355, 0.00443, 0.00609, 0.00665, 0.00609, 0.00443, 0.00355, + 0.00297, 0.00243, 0.00202, 0.00178, 0.00172, 0.00178, 0.00191, 0.00202, 0.00206, 0.00202, 0.00191, 0.00178, 0.00172, 0.00178, 0.00242, 0.00347, 0.00491, 0.00851, 0.01160, 0.01354, 0.01420, 0.01354, 0.01160, 0.00851, 0.00491, 0.00347, 0.00242, 0.00187, 0.00181, 0.00204, 0.00189, 0.00180, 0.00177, 0.00180, 0.00189, 0.00204, 0.00181, 0.00187, 0.00334, 0.00923, 0.01866, + 0.02426, 0.02635, 0.02444, 0.01866, 0.00986, 0.00334, 0.00190, 0.00170, 0.00150, 0.00145, 0.00150, 0.00170, 0.00195, 0.00572, 0.03060, 0.03062, 0.03062, 0.03062, 0.03060, 0.00572, 0.00134, 0.00119, 0.00116, 0.00119, 0.00134, 0.00169, 0.00169, 0.00177, 13.68469, 0.00177, 0.00169, 0.00162, 0.00160, 0.00162, 0.00169, 0.00178, 0.00189, 0.00197, 0.00200, 0.00197, 0.00189, + 0.00179, 0.00169, 0.00162, 0.00158, 0.00156, 0.00156, 0.00156, 0.00158, 0.00162, 0.00170, 0.00183, 0.00199, 0.00214, 0.00225, 0.00229, 0.00225, 0.00214, 0.00199, 0.00183, 0.00170, 0.00161, 0.00157, 0.00156, 0.00157, 0.00157, 0.00157, 0.00156, 0.00157, 0.00161, 0.00175, 0.00194, 0.00218, 0.00243, 0.00265, 0.00281, 0.00286, 0.00281, 0.00265, 0.00243, 0.00218, 0.00194, + 0.00175, 0.00163, 0.00158, 0.00158, 0.00162, 0.00165, 0.00166, 0.00165, 0.00162, 0.00158, 0.00158, 0.00163, 0.00190, 0.00229, 0.00279, 0.00334, 0.00417, 0.00573, 0.00626, 0.00573, 0.00417, 0.00334, 0.00279, 0.00229, 0.00190, 0.00168, 0.00161, 0.00167, 0.00179, 0.00190, 0.00194, 0.00190, 0.00179, 0.00167, 0.00161, 0.00168, 0.00228, 0.00327, 0.00462, 0.00800, 0.01091, + 0.01274, 0.01336, 0.01274, 0.01091, 0.00800, 0.00462, 0.00327, 0.00228, 0.00176, 0.00170, 0.00192, 0.00178, 0.00169, 0.00166, 0.00169, 0.00178, 0.00192, 0.00170, 0.00176, 0.00314, 0.00869, 0.01756, 0.02283, 0.02480, 0.02300, 0.01756, 0.00928, 0.00314, 0.00179, 0.00160, 0.00142, 0.00137, 0.00141, 0.00160, 0.00183, 0.00538, 0.02879, 0.02881, 0.02881, 0.02881, 0.02879, + 0.00538, 0.00126, 0.00112, 0.00109, 0.00112, 0.00126, 0.00180, 0.00179, 0.00189, 0.00193, 13.16834, 0.00179, 0.00173, 0.00170, 0.00173, 0.00179, 0.00189, 0.00201, 0.00209, 0.00212, 0.00209, 0.00201, 0.00190, 0.00179, 0.00172, 0.00168, 0.00166, 0.00166, 0.00166, 0.00168, 0.00172, 0.00181, 0.00195, 0.00211, 0.00227, 0.00239, 0.00243, 0.00239, 0.00227, 0.00211, 0.00195, + 0.00181, 0.00171, 0.00167, 0.00166, 0.00166, 0.00167, 0.00166, 0.00166, 0.00167, 0.00171, 0.00186, 0.00206, 0.00231, 0.00258, 0.00282, 0.00298, 0.00304, 0.00298, 0.00282, 0.00258, 0.00231, 0.00206, 0.00186, 0.00173, 0.00168, 0.00168, 0.00172, 0.00175, 0.00177, 0.00175, 0.00172, 0.00168, 0.00168, 0.00173, 0.00202, 0.00243, 0.00297, 0.00355, 0.00443, 0.00609, 0.00665, + 0.00609, 0.00443, 0.00355, 0.00297, 0.00243, 0.00202, 0.00178, 0.00172, 0.00178, 0.00191, 0.00202, 0.00206, 0.00202, 0.00191, 0.00178, 0.00172, 0.00178, 0.00242, 0.00347, 0.00491, 0.00851, 0.01160, 0.01354, 0.01420, 0.01354, 0.01160, 0.00851, 0.00491, 0.00347, 0.00242, 0.00187, 0.00181, 0.00204, 0.00189, 0.00180, 0.00177, 0.00180, 0.00189, 0.00204, 0.00181, 0.00187, + 0.00334, 0.00923, 0.01866, 0.02426, 0.02635, 0.02444, 0.01866, 0.00986, 0.00334, 0.00190, 0.00170, 0.00150, 0.00145, 0.00150, 0.00170, 0.00195, 0.00572, 0.03060, 0.03062, 0.03062, 0.03062, 0.03060, 0.00572, 0.00134, 0.00119, 0.00116, 0.00119, 0.00134, 0.00205, 0.00205, 0.00215, 0.00220, 0.00215, 11.92175, 0.00197, 0.00195, 0.00197, 0.00205, 0.00216, 0.00229, 0.00239, + 0.00242, 0.00239, 0.00229, 0.00217, 0.00205, 0.00197, 0.00192, 0.00190, 0.00189, 0.00190, 0.00192, 0.00196, 0.00206, 0.00223, 0.00242, 0.00260, 0.00273, 0.00278, 0.00273, 0.00260, 0.00242, 0.00223, 0.00206, 0.00196, 0.00190, 0.00189, 0.00190, 0.00191, 0.00190, 0.00189, 0.00190, 0.00196, 0.00213, 0.00235, 0.00264, 0.00295, 0.00322, 0.00341, 0.00347, 0.00341, 0.00322, + 0.00295, 0.00264, 0.00235, 0.00213, 0.00198, 0.00192, 0.00192, 0.00196, 0.00200, 0.00202, 0.00200, 0.00196, 0.00192, 0.00192, 0.00198, 0.00231, 0.00277, 0.00339, 0.00405, 0.00506, 0.00696, 0.00760, 0.00696, 0.00506, 0.00405, 0.00339, 0.00277, 0.00231, 0.00204, 0.00196, 0.00203, 0.00218, 0.00231, 0.00235, 0.00231, 0.00218, 0.00203, 0.00196, 0.00204, 0.00277, 0.00397, + 0.00561, 0.00972, 0.01325, 0.01547, 0.01622, 0.01547, 0.01325, 0.00972, 0.00561, 0.00397, 0.00277, 0.00214, 0.00206, 0.00233, 0.00216, 0.00205, 0.00202, 0.00205, 0.00216, 0.00233, 0.00206, 0.00214, 0.00381, 0.01055, 0.02132, 0.02772, 0.03010, 0.02792, 0.02132, 0.01126, 0.00381, 0.00218, 0.00194, 0.00172, 0.00166, 0.00171, 0.00194, 0.00222, 0.00653, 0.03496, 0.03498, + 0.03498, 0.03498, 0.03496, 0.00653, 0.00153, 0.00136, 0.00132, 0.00136, 0.00153, 0.00231, 0.00231, 0.00242, 0.00248, 0.00242, 0.00231, 10.67516, 0.00219, 0.00222, 0.00231, 0.00243, 0.00258, 0.00268, 0.00273, 0.00269, 0.00258, 0.00244, 0.00231, 0.00221, 0.00216, 0.00214, 0.00213, 0.00213, 0.00216, 0.00221, 0.00232, 0.00250, 0.00272, 0.00292, 0.00307, 0.00312, 0.00307, + 0.00292, 0.00272, 0.00250, 0.00232, 0.00220, 0.00214, 0.00213, 0.00214, 0.00214, 0.00214, 0.00213, 0.00214, 0.00220, 0.00239, 0.00265, 0.00297, 0.00332, 0.00362, 0.00383, 0.00391, 0.00383, 0.00362, 0.00332, 0.00297, 0.00265, 0.00239, 0.00223, 0.00216, 0.00216, 0.00221, 0.00225, 0.00227, 0.00225, 0.00221, 0.00216, 0.00216, 0.00223, 0.00259, 0.00312, 0.00381, 0.00456, + 0.00569, 0.00782, 0.00855, 0.00782, 0.00569, 0.00456, 0.00381, 0.00312, 0.00259, 0.00229, 0.00220, 0.00229, 0.00245, 0.00259, 0.00264, 0.00259, 0.00245, 0.00229, 0.00220, 0.00229, 0.00311, 0.00446, 0.00630, 0.01093, 0.01490, 0.01740, 0.01825, 0.01740, 0.01490, 0.01093, 0.00630, 0.00446, 0.00311, 0.00240, 0.00232, 0.00262, 0.00243, 0.00231, 0.00227, 0.00231, 0.00243, + 0.00262, 0.00232, 0.00240, 0.00429, 0.01186, 0.02398, 0.03118, 0.03386, 0.03140, 0.02398, 0.01267, 0.00429, 0.00245, 0.00218, 0.00193, 0.00187, 0.00192, 0.00218, 0.00250, 0.00734, 0.03932, 0.03934, 0.03934, 0.03934, 0.03932, 0.00734, 0.00172, 0.00153, 0.00148, 0.00153, 0.00172, 0.00241, 0.00241, 0.00253, 0.00259, 0.00253, 0.00241, 0.00232, 10.15881, 0.00232, 0.00241, + 0.00255, 0.00270, 0.00281, 0.00285, 0.00281, 0.00270, 0.00255, 0.00241, 0.00231, 0.00226, 0.00223, 0.00223, 0.00223, 0.00226, 0.00231, 0.00243, 0.00262, 0.00284, 0.00306, 0.00321, 0.00327, 0.00321, 0.00306, 0.00284, 0.00262, 0.00243, 0.00230, 0.00224, 0.00223, 0.00224, 0.00224, 0.00224, 0.00223, 0.00224, 0.00230, 0.00250, 0.00277, 0.00311, 0.00347, 0.00379, 0.00401, + 0.00409, 0.00401, 0.00379, 0.00347, 0.00311, 0.00277, 0.00250, 0.00233, 0.00226, 0.00226, 0.00231, 0.00236, 0.00238, 0.00236, 0.00231, 0.00226, 0.00226, 0.00233, 0.00271, 0.00326, 0.00399, 0.00477, 0.00595, 0.00818, 0.00894, 0.00818, 0.00595, 0.00477, 0.00399, 0.00326, 0.00271, 0.00239, 0.00231, 0.00239, 0.00256, 0.00271, 0.00276, 0.00271, 0.00256, 0.00239, 0.00231, + 0.00239, 0.00326, 0.00467, 0.00659, 0.01143, 0.01558, 0.01819, 0.01908, 0.01819, 0.01558, 0.01143, 0.00659, 0.00467, 0.00326, 0.00251, 0.00243, 0.00274, 0.00254, 0.00242, 0.00237, 0.00242, 0.00254, 0.00274, 0.00243, 0.00251, 0.00448, 0.01241, 0.02508, 0.03261, 0.03541, 0.03284, 0.02508, 0.01325, 0.00448, 0.00256, 0.00228, 0.00202, 0.00195, 0.00201, 0.00228, 0.00262, + 0.00768, 0.04112, 0.04115, 0.04115, 0.04115, 0.04112, 0.00768, 0.00180, 0.00160, 0.00155, 0.00160, 0.00180, 0.00231, 0.00231, 0.00242, 0.00248, 0.00242, 0.00231, 0.00222, 0.00219, 10.67516, 0.00231, 0.00243, 0.00258, 0.00268, 0.00273, 0.00269, 0.00258, 0.00244, 0.00231, 0.00221, 0.00216, 0.00214, 0.00213, 0.00213, 0.00216, 0.00221, 0.00232, 0.00250, 0.00272, 0.00292, + 0.00307, 0.00312, 0.00307, 0.00292, 0.00272, 0.00250, 0.00232, 0.00220, 0.00214, 0.00213, 0.00214, 0.00214, 0.00214, 0.00213, 0.00214, 0.00220, 0.00239, 0.00265, 0.00297, 0.00332, 0.00362, 0.00383, 0.00391, 0.00383, 0.00362, 0.00332, 0.00297, 0.00265, 0.00239, 0.00223, 0.00216, 0.00216, 0.00221, 0.00225, 0.00227, 0.00225, 0.00221, 0.00216, 0.00216, 0.00223, 0.00259, + 0.00312, 0.00381, 0.00456, 0.00569, 0.00782, 0.00855, 0.00782, 0.00569, 0.00456, 0.00381, 0.00312, 0.00259, 0.00229, 0.00220, 0.00229, 0.00245, 0.00259, 0.00264, 0.00259, 0.00245, 0.00229, 0.00220, 0.00229, 0.00311, 0.00446, 0.00630, 0.01093, 0.01490, 0.01740, 0.01825, 0.01740, 0.01490, 0.01093, 0.00630, 0.00446, 0.00311, 0.00240, 0.00232, 0.00262, 0.00243, 0.00231, + 0.00227, 0.00231, 0.00243, 0.00262, 0.00232, 0.00240, 0.00429, 0.01186, 0.02398, 0.03118, 0.03386, 0.03140, 0.02398, 0.01267, 0.00429, 0.00245, 0.00218, 0.00193, 0.00187, 0.00192, 0.00218, 0.00250, 0.00734, 0.03932, 0.03934, 0.03934, 0.03934, 0.03932, 0.00734, 0.00172, 0.00153, 0.00148, 0.00153, 0.00172, 0.00204, 0.00203, 0.00214, 0.00219, 0.00214, 0.00203, 0.00196, + 0.00193, 0.00196, 12.57587, 0.00215, 0.00227, 0.00237, 0.00241, 0.00237, 0.00227, 0.00215, 0.00203, 0.00195, 0.00190, 0.00188, 0.00188, 0.00188, 0.00190, 0.00195, 0.00205, 0.00221, 0.00240, 0.00258, 0.00271, 0.00276, 0.00271, 0.00258, 0.00240, 0.00221, 0.00205, 0.00194, 0.00189, 0.00188, 0.00189, 0.00189, 0.00189, 0.00188, 0.00189, 0.00194, 0.00211, 0.00234, 0.00262, + 0.00293, 0.00320, 0.00338, 0.00345, 0.00338, 0.00320, 0.00293, 0.00262, 0.00234, 0.00211, 0.00196, 0.00190, 0.00191, 0.00195, 0.00199, 0.00200, 0.00199, 0.00195, 0.00191, 0.00190, 0.00196, 0.00229, 0.00275, 0.00336, 0.00402, 0.00502, 0.00690, 0.00754, 0.00690, 0.00502, 0.00402, 0.00336, 0.00275, 0.00229, 0.00202, 0.00194, 0.00201, 0.00216, 0.00229, 0.00233, 0.00229, + 0.00216, 0.00201, 0.00194, 0.00202, 0.00275, 0.00394, 0.00557, 0.00964, 0.01314, 0.01534, 0.01609, 0.01534, 0.01314, 0.00964, 0.00557, 0.00394, 0.00275, 0.00212, 0.00204, 0.00231, 0.00214, 0.00204, 0.00200, 0.00204, 0.00214, 0.00231, 0.00204, 0.00212, 0.00378, 0.01047, 0.02115, 0.02748, 0.02985, 0.02768, 0.02115, 0.01118, 0.00378, 0.00216, 0.00192, 0.00170, 0.00165, + 0.00170, 0.00192, 0.00220, 0.00648, 0.03465, 0.03467, 0.03468, 0.03467, 0.03465, 0.00648, 0.00152, 0.00135, 0.00131, 0.00135, 0.00152, 0.00176, 0.00176, 0.00185, 0.00189, 0.00185, 0.00176, 0.00169, 0.00167, 0.00169, 0.00176, 14.01390, 0.00196, 0.00205, 0.00208, 0.00205, 0.00196, 0.00186, 0.00176, 0.00168, 0.00164, 0.00163, 0.00162, 0.00163, 0.00164, 0.00168, 0.00177, + 0.00191, 0.00207, 0.00223, 0.00234, 0.00238, 0.00234, 0.00223, 0.00207, 0.00191, 0.00177, 0.00168, 0.00163, 0.00162, 0.00163, 0.00163, 0.00163, 0.00162, 0.00163, 0.00168, 0.00182, 0.00202, 0.00227, 0.00253, 0.00276, 0.00292, 0.00298, 0.00292, 0.00276, 0.00253, 0.00227, 0.00202, 0.00182, 0.00170, 0.00164, 0.00165, 0.00168, 0.00172, 0.00173, 0.00172, 0.00168, 0.00165, + 0.00164, 0.00170, 0.00198, 0.00238, 0.00291, 0.00347, 0.00434, 0.00596, 0.00651, 0.00596, 0.00434, 0.00347, 0.00291, 0.00238, 0.00198, 0.00174, 0.00168, 0.00174, 0.00187, 0.00197, 0.00201, 0.00197, 0.00187, 0.00174, 0.00168, 0.00174, 0.00237, 0.00340, 0.00481, 0.00833, 0.01135, 0.01325, 0.01390, 0.01325, 0.01135, 0.00833, 0.00481, 0.00340, 0.00237, 0.00183, 0.00177, + 0.00199, 0.00185, 0.00176, 0.00173, 0.00176, 0.00185, 0.00199, 0.00177, 0.00183, 0.00327, 0.00904, 0.01826, 0.02374, 0.02578, 0.02391, 0.01826, 0.00966, 0.00327, 0.00186, 0.00166, 0.00147, 0.00142, 0.00147, 0.00166, 0.00190, 0.00559, 0.02993, 0.02995, 0.02995, 0.02995, 0.02993, 0.00559, 0.00131, 0.00117, 0.00113, 0.00117, 0.00131, 0.00151, 0.00151, 0.00159, 0.00162, + 0.00159, 0.00151, 0.00145, 0.00143, 0.00145, 0.00151, 0.00160, 15.29029, 0.00176, 0.00179, 0.00176, 0.00169, 0.00160, 0.00151, 0.00145, 0.00141, 0.00140, 0.00140, 0.00140, 0.00141, 0.00145, 0.00152, 0.00164, 0.00178, 0.00192, 0.00201, 0.00205, 0.00201, 0.00192, 0.00178, 0.00164, 0.00152, 0.00144, 0.00140, 0.00140, 0.00140, 0.00140, 0.00140, 0.00140, 0.00140, 0.00144, + 0.00157, 0.00174, 0.00195, 0.00217, 0.00237, 0.00251, 0.00256, 0.00251, 0.00237, 0.00217, 0.00195, 0.00174, 0.00157, 0.00146, 0.00141, 0.00142, 0.00145, 0.00148, 0.00149, 0.00148, 0.00145, 0.00142, 0.00141, 0.00146, 0.00170, 0.00205, 0.00250, 0.00299, 0.00373, 0.00513, 0.00560, 0.00513, 0.00373, 0.00299, 0.00250, 0.00205, 0.00170, 0.00150, 0.00144, 0.00150, 0.00160, + 0.00170, 0.00173, 0.00170, 0.00160, 0.00150, 0.00144, 0.00150, 0.00204, 0.00293, 0.00413, 0.00716, 0.00976, 0.01139, 0.01195, 0.01139, 0.00976, 0.00716, 0.00413, 0.00293, 0.00204, 0.00157, 0.00152, 0.00172, 0.00159, 0.00151, 0.00149, 0.00151, 0.00159, 0.00172, 0.00152, 0.00157, 0.00281, 0.00778, 0.01570, 0.02041, 0.02216, 0.02056, 0.01570, 0.00830, 0.00281, 0.00160, + 0.00143, 0.00127, 0.00122, 0.00126, 0.00143, 0.00164, 0.00481, 0.02573, 0.02575, 0.02575, 0.02575, 0.02573, 0.00481, 0.00113, 0.00100, 0.00097, 0.00100, 0.00113, 0.00135, 0.00135, 0.00142, 0.00145, 0.00142, 0.00135, 0.00130, 0.00128, 0.00130, 0.00135, 0.00143, 0.00151, 16.10946, 0.00160, 0.00158, 0.00151, 0.00143, 0.00135, 0.00130, 0.00126, 0.00125, 0.00125, 0.00125, + 0.00126, 0.00130, 0.00136, 0.00147, 0.00159, 0.00171, 0.00180, 0.00183, 0.00180, 0.00171, 0.00159, 0.00147, 0.00136, 0.00129, 0.00126, 0.00125, 0.00125, 0.00126, 0.00125, 0.00125, 0.00126, 0.00129, 0.00140, 0.00155, 0.00175, 0.00195, 0.00213, 0.00225, 0.00229, 0.00225, 0.00213, 0.00195, 0.00175, 0.00155, 0.00140, 0.00131, 0.00126, 0.00127, 0.00129, 0.00132, 0.00133, + 0.00132, 0.00129, 0.00127, 0.00126, 0.00131, 0.00152, 0.00183, 0.00224, 0.00268, 0.00334, 0.00459, 0.00501, 0.00459, 0.00334, 0.00268, 0.00224, 0.00183, 0.00152, 0.00134, 0.00129, 0.00134, 0.00144, 0.00152, 0.00155, 0.00152, 0.00144, 0.00134, 0.00129, 0.00134, 0.00183, 0.00262, 0.00370, 0.00641, 0.00874, 0.01020, 0.01070, 0.01020, 0.00874, 0.00641, 0.00370, 0.00262, + 0.00183, 0.00141, 0.00136, 0.00154, 0.00142, 0.00135, 0.00133, 0.00135, 0.00142, 0.00154, 0.00136, 0.00141, 0.00251, 0.00696, 0.01406, 0.01828, 0.01985, 0.01841, 0.01406, 0.00743, 0.00251, 0.00143, 0.00128, 0.00113, 0.00109, 0.00113, 0.00128, 0.00147, 0.00431, 0.02304, 0.02306, 0.02306, 0.02306, 0.02304, 0.00431, 0.00101, 0.00090, 0.00087, 0.00090, 0.00101, 0.00129, + 0.00129, 0.00136, 0.00139, 0.00136, 0.00129, 0.00124, 0.00123, 0.00124, 0.00129, 0.00137, 0.00145, 0.00151, 16.41462, 0.00151, 0.00145, 0.00137, 0.00129, 0.00124, 0.00121, 0.00120, 0.00119, 0.00120, 0.00121, 0.00124, 0.00130, 0.00140, 0.00153, 0.00164, 0.00172, 0.00175, 0.00172, 0.00164, 0.00153, 0.00140, 0.00130, 0.00123, 0.00120, 0.00119, 0.00120, 0.00120, 0.00120, + 0.00119, 0.00120, 0.00123, 0.00134, 0.00149, 0.00167, 0.00186, 0.00203, 0.00215, 0.00219, 0.00215, 0.00203, 0.00186, 0.00167, 0.00149, 0.00134, 0.00125, 0.00121, 0.00121, 0.00124, 0.00126, 0.00127, 0.00126, 0.00124, 0.00121, 0.00121, 0.00125, 0.00146, 0.00175, 0.00214, 0.00256, 0.00319, 0.00439, 0.00480, 0.00439, 0.00319, 0.00256, 0.00214, 0.00175, 0.00146, 0.00128, + 0.00124, 0.00128, 0.00137, 0.00145, 0.00148, 0.00145, 0.00137, 0.00128, 0.00124, 0.00128, 0.00175, 0.00251, 0.00354, 0.00613, 0.00836, 0.00976, 0.01023, 0.00976, 0.00836, 0.00613, 0.00354, 0.00251, 0.00175, 0.00135, 0.00130, 0.00147, 0.00136, 0.00129, 0.00127, 0.00129, 0.00136, 0.00147, 0.00130, 0.00135, 0.00240, 0.00666, 0.01345, 0.01748, 0.01898, 0.01761, 0.01345, + 0.00711, 0.00240, 0.00137, 0.00122, 0.00108, 0.00105, 0.00108, 0.00122, 0.00140, 0.00412, 0.02204, 0.02205, 0.02206, 0.02205, 0.02204, 0.00412, 0.00097, 0.00086, 0.00083, 0.00086, 0.00097, 0.00135, 0.00135, 0.00142, 0.00145, 0.00142, 0.00135, 0.00130, 0.00128, 0.00130, 0.00135, 0.00142, 0.00151, 0.00157, 0.00159, 16.13510, 0.00151, 0.00143, 0.00135, 0.00129, 0.00126, + 0.00125, 0.00124, 0.00125, 0.00126, 0.00129, 0.00136, 0.00146, 0.00159, 0.00171, 0.00179, 0.00183, 0.00179, 0.00171, 0.00159, 0.00146, 0.00136, 0.00129, 0.00125, 0.00124, 0.00125, 0.00125, 0.00125, 0.00124, 0.00125, 0.00129, 0.00140, 0.00155, 0.00174, 0.00194, 0.00212, 0.00224, 0.00229, 0.00224, 0.00212, 0.00194, 0.00174, 0.00155, 0.00140, 0.00130, 0.00126, 0.00126, + 0.00129, 0.00132, 0.00133, 0.00132, 0.00129, 0.00126, 0.00126, 0.00130, 0.00152, 0.00182, 0.00223, 0.00267, 0.00333, 0.00457, 0.00500, 0.00457, 0.00333, 0.00267, 0.00223, 0.00182, 0.00152, 0.00134, 0.00129, 0.00133, 0.00143, 0.00151, 0.00154, 0.00151, 0.00143, 0.00133, 0.00129, 0.00134, 0.00182, 0.00261, 0.00369, 0.00639, 0.00871, 0.01016, 0.01066, 0.01016, 0.00871, + 0.00639, 0.00369, 0.00261, 0.00182, 0.00140, 0.00135, 0.00153, 0.00142, 0.00135, 0.00133, 0.00135, 0.00142, 0.00153, 0.00135, 0.00140, 0.00251, 0.00694, 0.01401, 0.01821, 0.01977, 0.01834, 0.01401, 0.00741, 0.00251, 0.00143, 0.00127, 0.00113, 0.00109, 0.00112, 0.00127, 0.00146, 0.00429, 0.02296, 0.02297, 0.02297, 0.02297, 0.02296, 0.00429, 0.00101, 0.00089, 0.00087, + 0.00089, 0.00101, 0.00151, 0.00151, 0.00159, 0.00162, 0.00159, 0.00151, 0.00145, 0.00143, 0.00145, 0.00151, 0.00160, 0.00169, 0.00176, 0.00179, 0.00176, 15.29029, 0.00160, 0.00151, 0.00145, 0.00141, 0.00140, 0.00140, 0.00140, 0.00141, 0.00145, 0.00152, 0.00164, 0.00178, 0.00192, 0.00201, 0.00205, 0.00201, 0.00192, 0.00178, 0.00164, 0.00152, 0.00144, 0.00140, 0.00140, + 0.00140, 0.00140, 0.00140, 0.00140, 0.00140, 0.00144, 0.00157, 0.00174, 0.00195, 0.00217, 0.00237, 0.00251, 0.00256, 0.00251, 0.00237, 0.00217, 0.00195, 0.00174, 0.00157, 0.00146, 0.00141, 0.00142, 0.00145, 0.00148, 0.00149, 0.00148, 0.00145, 0.00142, 0.00141, 0.00146, 0.00170, 0.00205, 0.00250, 0.00299, 0.00373, 0.00513, 0.00560, 0.00513, 0.00373, 0.00299, 0.00250, + 0.00205, 0.00170, 0.00150, 0.00144, 0.00150, 0.00160, 0.00170, 0.00173, 0.00170, 0.00160, 0.00150, 0.00144, 0.00150, 0.00204, 0.00293, 0.00413, 0.00716, 0.00976, 0.01139, 0.01195, 0.01139, 0.00976, 0.00716, 0.00413, 0.00293, 0.00204, 0.00157, 0.00152, 0.00172, 0.00159, 0.00151, 0.00149, 0.00151, 0.00159, 0.00172, 0.00152, 0.00157, 0.00281, 0.00778, 0.01570, 0.02041, + 0.02216, 0.02056, 0.01570, 0.00830, 0.00281, 0.00160, 0.00143, 0.00127, 0.00122, 0.00126, 0.00143, 0.00164, 0.00481, 0.02573, 0.02575, 0.02575, 0.02575, 0.02573, 0.00481, 0.00113, 0.00100, 0.00097, 0.00100, 0.00113, 0.00175, 0.00174, 0.00183, 0.00188, 0.00183, 0.00174, 0.00168, 0.00166, 0.00168, 0.00174, 0.00184, 0.00195, 0.00203, 0.00206, 0.00203, 0.00195, 14.07580, + 0.00174, 0.00167, 0.00163, 0.00162, 0.00161, 0.00161, 0.00163, 0.00167, 0.00176, 0.00189, 0.00206, 0.00221, 0.00232, 0.00236, 0.00232, 0.00221, 0.00206, 0.00189, 0.00176, 0.00166, 0.00162, 0.00161, 0.00162, 0.00162, 0.00162, 0.00161, 0.00162, 0.00166, 0.00181, 0.00200, 0.00225, 0.00251, 0.00274, 0.00290, 0.00296, 0.00290, 0.00274, 0.00251, 0.00225, 0.00200, 0.00181, + 0.00168, 0.00163, 0.00164, 0.00167, 0.00170, 0.00172, 0.00170, 0.00167, 0.00164, 0.00163, 0.00168, 0.00196, 0.00236, 0.00289, 0.00345, 0.00431, 0.00592, 0.00647, 0.00592, 0.00431, 0.00345, 0.00289, 0.00236, 0.00196, 0.00173, 0.00167, 0.00173, 0.00185, 0.00196, 0.00200, 0.00196, 0.00185, 0.00173, 0.00167, 0.00173, 0.00236, 0.00338, 0.00477, 0.00827, 0.01127, 0.01316, + 0.01380, 0.01316, 0.01127, 0.00827, 0.00477, 0.00338, 0.00236, 0.00182, 0.00175, 0.00198, 0.00184, 0.00175, 0.00172, 0.00175, 0.00184, 0.00198, 0.00175, 0.00182, 0.00324, 0.00898, 0.01814, 0.02358, 0.02560, 0.02375, 0.01814, 0.00959, 0.00324, 0.00185, 0.00165, 0.00146, 0.00141, 0.00146, 0.00165, 0.00189, 0.00556, 0.02972, 0.02974, 0.02975, 0.02974, 0.02972, 0.00556, + 0.00130, 0.00116, 0.00112, 0.00116, 0.00130, 0.00204, 0.00203, 0.00214, 0.00219, 0.00214, 0.00203, 0.00196, 0.00193, 0.00196, 0.00203, 0.00215, 0.00227, 0.00237, 0.00241, 0.00237, 0.00227, 0.00215, 12.57587, 0.00195, 0.00190, 0.00188, 0.00188, 0.00188, 0.00190, 0.00195, 0.00205, 0.00221, 0.00240, 0.00258, 0.00271, 0.00276, 0.00271, 0.00258, 0.00240, 0.00221, 0.00205, + 0.00194, 0.00189, 0.00188, 0.00189, 0.00189, 0.00189, 0.00188, 0.00189, 0.00194, 0.00211, 0.00234, 0.00262, 0.00293, 0.00320, 0.00338, 0.00345, 0.00338, 0.00320, 0.00293, 0.00262, 0.00234, 0.00211, 0.00196, 0.00190, 0.00191, 0.00195, 0.00199, 0.00200, 0.00199, 0.00195, 0.00191, 0.00190, 0.00196, 0.00229, 0.00275, 0.00336, 0.00402, 0.00502, 0.00690, 0.00754, 0.00690, + 0.00502, 0.00402, 0.00336, 0.00275, 0.00229, 0.00202, 0.00194, 0.00201, 0.00216, 0.00229, 0.00233, 0.00229, 0.00216, 0.00201, 0.00194, 0.00202, 0.00275, 0.00394, 0.00557, 0.00964, 0.01314, 0.01534, 0.01609, 0.01534, 0.01314, 0.00964, 0.00557, 0.00394, 0.00275, 0.00212, 0.00204, 0.00231, 0.00214, 0.00204, 0.00200, 0.00204, 0.00214, 0.00231, 0.00204, 0.00212, 0.00378, + 0.01047, 0.02115, 0.02748, 0.02985, 0.02768, 0.02115, 0.01118, 0.00378, 0.00216, 0.00192, 0.00170, 0.00165, 0.00170, 0.00192, 0.00220, 0.00648, 0.03465, 0.03467, 0.03468, 0.03467, 0.03465, 0.00648, 0.00152, 0.00135, 0.00131, 0.00135, 0.00152, 0.00231, 0.00231, 0.00243, 0.00249, 0.00243, 0.00231, 0.00222, 0.00220, 0.00222, 0.00231, 0.00244, 0.00258, 0.00269, 0.00273, + 0.00269, 0.00258, 0.00245, 0.00231, 11.13785, 0.00216, 0.00214, 0.00213, 0.00214, 0.00216, 0.00221, 0.00233, 0.00251, 0.00272, 0.00293, 0.00308, 0.00313, 0.00308, 0.00293, 0.00272, 0.00251, 0.00233, 0.00221, 0.00215, 0.00213, 0.00214, 0.00215, 0.00214, 0.00213, 0.00215, 0.00221, 0.00240, 0.00266, 0.00298, 0.00333, 0.00363, 0.00384, 0.00392, 0.00384, 0.00363, 0.00333, + 0.00298, 0.00266, 0.00240, 0.00223, 0.00216, 0.00217, 0.00221, 0.00226, 0.00228, 0.00226, 0.00221, 0.00217, 0.00216, 0.00223, 0.00260, 0.00313, 0.00382, 0.00457, 0.00571, 0.00785, 0.00857, 0.00785, 0.00571, 0.00457, 0.00382, 0.00313, 0.00260, 0.00229, 0.00221, 0.00229, 0.00245, 0.00260, 0.00265, 0.00260, 0.00245, 0.00229, 0.00221, 0.00229, 0.00312, 0.00448, 0.00632, + 0.01096, 0.01493, 0.01743, 0.01828, 0.01743, 0.01493, 0.01096, 0.00632, 0.00448, 0.00312, 0.00241, 0.00232, 0.00262, 0.00243, 0.00231, 0.00227, 0.00231, 0.00243, 0.00262, 0.00232, 0.00241, 0.00430, 0.01190, 0.02403, 0.03123, 0.03391, 0.03146, 0.02403, 0.01270, 0.00430, 0.00245, 0.00218, 0.00194, 0.00187, 0.00193, 0.00218, 0.00251, 0.00736, 0.03938, 0.03940, 0.03941, + 0.03940, 0.03938, 0.00736, 0.00173, 0.00153, 0.00149, 0.00153, 0.00173, 0.00256, 0.00256, 0.00269, 0.00275, 0.00269, 0.00256, 0.00246, 0.00243, 0.00246, 0.00256, 0.00270, 0.00286, 0.00298, 0.00302, 0.00298, 0.00286, 0.00271, 0.00256, 0.00245, 9.86147, 0.00237, 0.00236, 0.00237, 0.00239, 0.00245, 0.00258, 0.00278, 0.00302, 0.00324, 0.00341, 0.00347, 0.00341, 0.00324, + 0.00302, 0.00278, 0.00258, 0.00244, 0.00238, 0.00236, 0.00237, 0.00238, 0.00237, 0.00236, 0.00238, 0.00244, 0.00265, 0.00294, 0.00330, 0.00368, 0.00402, 0.00425, 0.00434, 0.00425, 0.00402, 0.00368, 0.00330, 0.00294, 0.00265, 0.00247, 0.00239, 0.00240, 0.00245, 0.00250, 0.00252, 0.00250, 0.00245, 0.00240, 0.00239, 0.00247, 0.00288, 0.00346, 0.00423, 0.00506, 0.00631, + 0.00868, 0.00948, 0.00868, 0.00631, 0.00506, 0.00423, 0.00346, 0.00288, 0.00254, 0.00244, 0.00253, 0.00272, 0.00287, 0.00293, 0.00287, 0.00272, 0.00253, 0.00244, 0.00254, 0.00345, 0.00496, 0.00700, 0.01212, 0.01652, 0.01929, 0.02023, 0.01929, 0.01652, 0.01212, 0.00700, 0.00496, 0.00345, 0.00266, 0.00257, 0.00290, 0.00269, 0.00256, 0.00251, 0.00256, 0.00269, 0.00290, + 0.00257, 0.00266, 0.00475, 0.01317, 0.02659, 0.03456, 0.03753, 0.03481, 0.02659, 0.01406, 0.00475, 0.00271, 0.00241, 0.00214, 0.00207, 0.00213, 0.00241, 0.00277, 0.00814, 0.04357, 0.04360, 0.04360, 0.04360, 0.04357, 0.00814, 0.00191, 0.00170, 0.00165, 0.00170, 0.00191, 0.00272, 0.00272, 0.00285, 0.00292, 0.00285, 0.00272, 0.00261, 0.00258, 0.00261, 0.00272, 0.00287, + 0.00304, 0.00316, 0.00321, 0.00317, 0.00304, 0.00287, 0.00272, 0.00260, 0.00254, 9.04231, 0.00251, 0.00251, 0.00254, 0.00260, 0.00273, 0.00295, 0.00320, 0.00344, 0.00362, 0.00368, 0.00362, 0.00344, 0.00320, 0.00295, 0.00273, 0.00259, 0.00252, 0.00251, 0.00252, 0.00252, 0.00252, 0.00251, 0.00252, 0.00259, 0.00282, 0.00312, 0.00350, 0.00391, 0.00427, 0.00452, 0.00460, + 0.00452, 0.00427, 0.00391, 0.00350, 0.00312, 0.00282, 0.00262, 0.00254, 0.00255, 0.00260, 0.00265, 0.00268, 0.00265, 0.00260, 0.00255, 0.00254, 0.00262, 0.00306, 0.00368, 0.00449, 0.00537, 0.00670, 0.00922, 0.01007, 0.00922, 0.00670, 0.00537, 0.00449, 0.00368, 0.00306, 0.00270, 0.00259, 0.00269, 0.00288, 0.00305, 0.00311, 0.00305, 0.00288, 0.00269, 0.00259, 0.00270, + 0.00367, 0.00526, 0.00743, 0.01287, 0.01754, 0.02048, 0.02148, 0.02048, 0.01754, 0.01287, 0.00743, 0.00526, 0.00367, 0.00283, 0.00273, 0.00308, 0.00286, 0.00272, 0.00267, 0.00272, 0.00286, 0.00308, 0.00273, 0.00283, 0.00505, 0.01398, 0.02823, 0.03669, 0.03984, 0.03696, 0.02823, 0.01493, 0.00505, 0.00288, 0.00256, 0.00227, 0.00220, 0.00227, 0.00256, 0.00294, 0.00865, + 0.04626, 0.04629, 0.04630, 0.04629, 0.04626, 0.00865, 0.00203, 0.00180, 0.00175, 0.00180, 0.00203, 0.00278, 0.00277, 0.00291, 0.00298, 0.00291, 0.00277, 0.00267, 0.00264, 0.00267, 0.00277, 0.00293, 0.00310, 0.00323, 0.00328, 0.00323, 0.00310, 0.00294, 0.00277, 0.00266, 0.00259, 0.00257, 8.73715, 0.00257, 0.00259, 0.00266, 0.00279, 0.00301, 0.00327, 0.00352, 0.00370, + 0.00376, 0.00370, 0.00352, 0.00327, 0.00301, 0.00279, 0.00265, 0.00258, 0.00256, 0.00257, 0.00258, 0.00257, 0.00256, 0.00258, 0.00265, 0.00288, 0.00319, 0.00358, 0.00399, 0.00436, 0.00461, 0.00470, 0.00461, 0.00436, 0.00399, 0.00358, 0.00319, 0.00288, 0.00268, 0.00259, 0.00260, 0.00266, 0.00271, 0.00273, 0.00271, 0.00266, 0.00260, 0.00259, 0.00268, 0.00312, 0.00376, + 0.00459, 0.00549, 0.00685, 0.00942, 0.01028, 0.00942, 0.00685, 0.00549, 0.00459, 0.00376, 0.00312, 0.00275, 0.00265, 0.00275, 0.00295, 0.00312, 0.00318, 0.00312, 0.00295, 0.00275, 0.00265, 0.00275, 0.00375, 0.00538, 0.00759, 0.01315, 0.01792, 0.02092, 0.02195, 0.02092, 0.01792, 0.01315, 0.00759, 0.00538, 0.00375, 0.00289, 0.00279, 0.00315, 0.00292, 0.00278, 0.00273, + 0.00278, 0.00292, 0.00315, 0.00279, 0.00289, 0.00516, 0.01428, 0.02884, 0.03749, 0.04071, 0.03776, 0.02884, 0.01525, 0.00516, 0.00294, 0.00262, 0.00232, 0.00225, 0.00231, 0.00262, 0.00301, 0.00884, 0.04727, 0.04729, 0.04730, 0.04729, 0.04727, 0.00884, 0.00207, 0.00184, 0.00178, 0.00184, 0.00207, 0.00272, 0.00272, 0.00286, 0.00293, 0.00286, 0.00272, 0.00262, 0.00258, + 0.00262, 0.00272, 0.00287, 0.00304, 0.00317, 0.00322, 0.00317, 0.00304, 0.00288, 0.00272, 0.00261, 0.00254, 0.00252, 0.00251, 9.01667, 0.00254, 0.00260, 0.00274, 0.00295, 0.00321, 0.00345, 0.00362, 0.00369, 0.00362, 0.00345, 0.00321, 0.00295, 0.00274, 0.00260, 0.00253, 0.00251, 0.00252, 0.00253, 0.00252, 0.00251, 0.00253, 0.00260, 0.00282, 0.00313, 0.00351, 0.00392, + 0.00428, 0.00452, 0.00461, 0.00452, 0.00428, 0.00392, 0.00351, 0.00313, 0.00282, 0.00263, 0.00254, 0.00255, 0.00260, 0.00266, 0.00268, 0.00266, 0.00260, 0.00255, 0.00254, 0.00263, 0.00306, 0.00368, 0.00450, 0.00538, 0.00672, 0.00923, 0.01008, 0.00923, 0.00672, 0.00538, 0.00450, 0.00368, 0.00306, 0.00270, 0.00260, 0.00269, 0.00289, 0.00306, 0.00312, 0.00306, 0.00289, + 0.00269, 0.00260, 0.00270, 0.00367, 0.00527, 0.00744, 0.01290, 0.01757, 0.02052, 0.02152, 0.02052, 0.01757, 0.01290, 0.00744, 0.00527, 0.00367, 0.00283, 0.00273, 0.00309, 0.00286, 0.00272, 0.00267, 0.00272, 0.00286, 0.00309, 0.00273, 0.00283, 0.00506, 0.01400, 0.02828, 0.03676, 0.03992, 0.03702, 0.02828, 0.01495, 0.00506, 0.00289, 0.00257, 0.00228, 0.00220, 0.00227, + 0.00257, 0.00295, 0.00866, 0.04635, 0.04637, 0.04638, 0.04637, 0.04635, 0.00866, 0.00203, 0.00181, 0.00175, 0.00181, 0.00203, 0.00256, 0.00256, 0.00269, 0.00275, 0.00269, 0.00256, 0.00246, 0.00243, 0.00246, 0.00256, 0.00270, 0.00286, 0.00298, 0.00302, 0.00298, 0.00286, 0.00271, 0.00256, 0.00245, 0.00239, 0.00237, 0.00236, 0.00237, 9.86147, 0.00245, 0.00258, 0.00278, + 0.00302, 0.00324, 0.00341, 0.00347, 0.00341, 0.00324, 0.00302, 0.00278, 0.00258, 0.00244, 0.00238, 0.00236, 0.00237, 0.00238, 0.00237, 0.00236, 0.00238, 0.00244, 0.00265, 0.00294, 0.00330, 0.00368, 0.00402, 0.00425, 0.00434, 0.00425, 0.00402, 0.00368, 0.00330, 0.00294, 0.00265, 0.00247, 0.00239, 0.00240, 0.00245, 0.00250, 0.00252, 0.00250, 0.00245, 0.00240, 0.00239, + 0.00247, 0.00288, 0.00346, 0.00423, 0.00506, 0.00631, 0.00868, 0.00948, 0.00868, 0.00631, 0.00506, 0.00423, 0.00346, 0.00288, 0.00254, 0.00244, 0.00253, 0.00272, 0.00287, 0.00293, 0.00287, 0.00272, 0.00253, 0.00244, 0.00254, 0.00345, 0.00496, 0.00700, 0.01212, 0.01652, 0.01929, 0.02023, 0.01929, 0.01652, 0.01212, 0.00700, 0.00496, 0.00345, 0.00266, 0.00257, 0.00290, + 0.00269, 0.00256, 0.00251, 0.00256, 0.00269, 0.00290, 0.00257, 0.00266, 0.00475, 0.01317, 0.02659, 0.03456, 0.03753, 0.03481, 0.02659, 0.01406, 0.00475, 0.00271, 0.00241, 0.00214, 0.00207, 0.00213, 0.00241, 0.00277, 0.00814, 0.04357, 0.04360, 0.04360, 0.04360, 0.04357, 0.00814, 0.00191, 0.00170, 0.00165, 0.00170, 0.00191, 0.00232, 0.00232, 0.00244, 0.00250, 0.00244, + 0.00232, 0.00223, 0.00221, 0.00223, 0.00232, 0.00245, 0.00260, 0.00270, 0.00275, 0.00271, 0.00260, 0.00246, 0.00232, 0.00223, 0.00217, 0.00215, 0.00215, 0.00215, 0.00217, 11.07595, 0.00234, 0.00252, 0.00274, 0.00295, 0.00309, 0.00315, 0.00309, 0.00295, 0.00274, 0.00252, 0.00234, 0.00222, 0.00216, 0.00215, 0.00215, 0.00216, 0.00215, 0.00215, 0.00216, 0.00222, 0.00241, + 0.00267, 0.00300, 0.00335, 0.00365, 0.00386, 0.00394, 0.00386, 0.00365, 0.00335, 0.00300, 0.00267, 0.00241, 0.00224, 0.00217, 0.00218, 0.00222, 0.00227, 0.00229, 0.00227, 0.00222, 0.00218, 0.00217, 0.00224, 0.00261, 0.00315, 0.00384, 0.00460, 0.00574, 0.00789, 0.00861, 0.00789, 0.00574, 0.00460, 0.00384, 0.00315, 0.00261, 0.00231, 0.00222, 0.00230, 0.00247, 0.00261, + 0.00266, 0.00261, 0.00247, 0.00230, 0.00222, 0.00231, 0.00314, 0.00450, 0.00636, 0.01101, 0.01501, 0.01752, 0.01838, 0.01752, 0.01501, 0.01101, 0.00636, 0.00450, 0.00314, 0.00242, 0.00234, 0.00264, 0.00245, 0.00233, 0.00228, 0.00233, 0.00245, 0.00264, 0.00234, 0.00242, 0.00432, 0.01196, 0.02415, 0.03139, 0.03409, 0.03162, 0.02415, 0.01277, 0.00432, 0.00246, 0.00219, + 0.00195, 0.00188, 0.00194, 0.00219, 0.00252, 0.00740, 0.03958, 0.03960, 0.03961, 0.03960, 0.03958, 0.00740, 0.00174, 0.00154, 0.00149, 0.00154, 0.00174, 0.00200, 0.00200, 0.00210, 0.00215, 0.00210, 0.00200, 0.00193, 0.00190, 0.00193, 0.00200, 0.00212, 0.00224, 0.00233, 0.00237, 0.00234, 0.00224, 0.00212, 0.00200, 0.00192, 0.00187, 0.00185, 0.00185, 0.00185, 0.00187, + 0.00192, 11.46875, 0.00217, 0.00236, 0.00254, 0.00267, 0.00272, 0.00267, 0.00254, 0.00236, 0.00217, 0.00202, 0.00191, 0.00186, 0.00185, 0.00186, 0.00186, 0.00186, 0.00185, 0.00186, 0.00191, 0.00208, 0.00230, 0.00259, 0.00289, 0.00315, 0.00333, 0.00340, 0.00333, 0.00315, 0.00289, 0.00259, 0.00230, 0.00208, 0.00193, 0.00187, 0.00188, 0.00191, 0.00195, 0.00197, 0.00195, + 0.00191, 0.00188, 0.00187, 0.00193, 0.00225, 0.00271, 0.00332, 0.00397, 0.00495, 0.00680, 0.00742, 0.00680, 0.00495, 0.00397, 0.00332, 0.00271, 0.00225, 0.00199, 0.00191, 0.00198, 0.00212, 0.00225, 0.00229, 0.00225, 0.00212, 0.00198, 0.00191, 0.00199, 0.00270, 0.00388, 0.00549, 0.00949, 0.01293, 0.01509, 0.01583, 0.01509, 0.01293, 0.00949, 0.00549, 0.00388, 0.00270, + 0.00208, 0.00201, 0.00227, 0.00211, 0.00200, 0.00197, 0.00200, 0.00211, 0.00227, 0.00201, 0.00208, 0.00372, 0.01032, 0.02080, 0.02702, 0.02934, 0.02722, 0.02080, 0.01101, 0.00372, 0.00212, 0.00189, 0.00168, 0.00162, 0.00167, 0.00189, 0.00217, 0.00637, 0.03406, 0.03408, 0.03409, 0.03408, 0.03406, 0.00637, 0.00149, 0.00133, 0.00129, 0.00133, 0.00149, 0.00165, 0.00165, + 0.00173, 0.00177, 0.00173, 0.00165, 0.00158, 0.00156, 0.00158, 0.00165, 0.00174, 0.00184, 0.00192, 0.00195, 0.00192, 0.00184, 0.00174, 0.00165, 0.00158, 0.00154, 0.00152, 0.00152, 0.00152, 0.00154, 0.00157, 0.00166, 13.18475, 0.00194, 0.00209, 0.00219, 0.00223, 0.00219, 0.00209, 0.00194, 0.00179, 0.00166, 0.00157, 0.00153, 0.00152, 0.00152, 0.00153, 0.00152, 0.00152, + 0.00153, 0.00157, 0.00171, 0.00189, 0.00212, 0.00237, 0.00259, 0.00274, 0.00279, 0.00274, 0.00259, 0.00237, 0.00212, 0.00189, 0.00171, 0.00159, 0.00154, 0.00154, 0.00157, 0.00161, 0.00162, 0.00161, 0.00157, 0.00154, 0.00154, 0.00159, 0.00185, 0.00223, 0.00272, 0.00326, 0.00407, 0.00559, 0.00610, 0.00559, 0.00407, 0.00326, 0.00272, 0.00223, 0.00185, 0.00163, 0.00157, + 0.00163, 0.00174, 0.00185, 0.00188, 0.00185, 0.00174, 0.00163, 0.00157, 0.00163, 0.00222, 0.00319, 0.00451, 0.00780, 0.01062, 0.01240, 0.01300, 0.01240, 0.01062, 0.00780, 0.00451, 0.00319, 0.00222, 0.00171, 0.00165, 0.00187, 0.00173, 0.00164, 0.00162, 0.00164, 0.00173, 0.00187, 0.00165, 0.00171, 0.00306, 0.00848, 0.01709, 0.02220, 0.02411, 0.02236, 0.01709, 0.00905, + 0.00306, 0.00174, 0.00155, 0.00138, 0.00133, 0.00137, 0.00155, 0.00178, 0.00524, 0.02799, 0.02800, 0.02800, 0.02800, 0.02799, 0.00524, 0.00123, 0.00109, 0.00106, 0.00109, 0.00123, 0.00132, 0.00132, 0.00139, 0.00142, 0.00139, 0.00132, 0.00127, 0.00126, 0.00127, 0.00132, 0.00140, 0.00148, 0.00154, 0.00157, 0.00154, 0.00148, 0.00140, 0.00132, 0.00127, 0.00124, 0.00122, + 0.00122, 0.00122, 0.00124, 0.00127, 0.00133, 0.00144, 14.73275, 0.00168, 0.00176, 0.00179, 0.00176, 0.00168, 0.00156, 0.00144, 0.00133, 0.00126, 0.00123, 0.00122, 0.00123, 0.00123, 0.00123, 0.00122, 0.00123, 0.00126, 0.00137, 0.00152, 0.00171, 0.00191, 0.00208, 0.00220, 0.00225, 0.00220, 0.00208, 0.00191, 0.00171, 0.00152, 0.00137, 0.00128, 0.00124, 0.00124, 0.00126, + 0.00129, 0.00130, 0.00129, 0.00126, 0.00124, 0.00124, 0.00128, 0.00149, 0.00179, 0.00219, 0.00262, 0.00327, 0.00449, 0.00490, 0.00449, 0.00327, 0.00262, 0.00219, 0.00179, 0.00149, 0.00131, 0.00126, 0.00131, 0.00140, 0.00149, 0.00151, 0.00149, 0.00140, 0.00131, 0.00126, 0.00131, 0.00179, 0.00257, 0.00362, 0.00627, 0.00854, 0.00997, 0.01046, 0.00997, 0.00854, 0.00627, + 0.00362, 0.00257, 0.00179, 0.00138, 0.00133, 0.00150, 0.00139, 0.00132, 0.00130, 0.00132, 0.00139, 0.00150, 0.00133, 0.00138, 0.00246, 0.00682, 0.01374, 0.01785, 0.01938, 0.01798, 0.01374, 0.00728, 0.00246, 0.00140, 0.00125, 0.00111, 0.00107, 0.00110, 0.00125, 0.00143, 0.00421, 0.02250, 0.02252, 0.02252, 0.02252, 0.02250, 0.00421, 0.00099, 0.00088, 0.00085, 0.00088, + 0.00099, 0.00107, 0.00107, 0.00112, 0.00115, 0.00112, 0.00107, 0.00103, 0.00101, 0.00103, 0.00107, 0.00113, 0.00119, 0.00124, 0.00126, 0.00124, 0.00119, 0.00113, 0.00107, 0.00102, 0.00100, 0.00099, 0.00099, 0.00099, 0.00100, 0.00102, 0.00107, 0.00116, 0.00126, 15.96122, 0.00142, 0.00145, 0.00142, 0.00135, 0.00126, 0.00116, 0.00107, 0.00102, 0.00099, 0.00098, 0.00099, + 0.00099, 0.00099, 0.00098, 0.00099, 0.00102, 0.00111, 0.00123, 0.00138, 0.00154, 0.00168, 0.00178, 0.00181, 0.00178, 0.00168, 0.00154, 0.00138, 0.00123, 0.00111, 0.00103, 0.00100, 0.00100, 0.00102, 0.00104, 0.00105, 0.00104, 0.00102, 0.00100, 0.00100, 0.00103, 0.00120, 0.00145, 0.00177, 0.00211, 0.00264, 0.00362, 0.00396, 0.00362, 0.00264, 0.00211, 0.00177, 0.00145, + 0.00120, 0.00106, 0.00102, 0.00106, 0.00113, 0.00120, 0.00122, 0.00120, 0.00113, 0.00106, 0.00102, 0.00106, 0.00144, 0.00207, 0.00292, 0.00506, 0.00689, 0.00804, 0.00843, 0.00804, 0.00689, 0.00506, 0.00292, 0.00207, 0.00144, 0.00111, 0.00107, 0.00121, 0.00112, 0.00107, 0.00105, 0.00107, 0.00112, 0.00121, 0.00107, 0.00111, 0.00198, 0.00550, 0.01109, 0.01440, 0.01564, + 0.01451, 0.01109, 0.00587, 0.00198, 0.00113, 0.00101, 0.00089, 0.00086, 0.00089, 0.00101, 0.00116, 0.00340, 0.01815, 0.01816, 0.01816, 0.01816, 0.01815, 0.00340, 0.00080, 0.00071, 0.00069, 0.00071, 0.00080, 0.00090, 0.00090, 0.00095, 0.00097, 0.00095, 0.00090, 0.00087, 0.00086, 0.00087, 0.00090, 0.00095, 0.00101, 0.00105, 0.00107, 0.00105, 0.00101, 0.00096, 0.00090, + 0.00087, 0.00084, 0.00084, 0.00083, 0.00084, 0.00084, 0.00086, 0.00091, 0.00098, 0.00107, 0.00115, 16.74993, 0.00122, 0.00120, 0.00115, 0.00107, 0.00098, 0.00091, 0.00086, 0.00084, 0.00083, 0.00084, 0.00084, 0.00084, 0.00083, 0.00084, 0.00086, 0.00094, 0.00104, 0.00117, 0.00130, 0.00142, 0.00150, 0.00153, 0.00150, 0.00142, 0.00130, 0.00117, 0.00104, 0.00094, 0.00087, + 0.00084, 0.00085, 0.00086, 0.00088, 0.00089, 0.00088, 0.00086, 0.00085, 0.00084, 0.00087, 0.00102, 0.00122, 0.00149, 0.00179, 0.00223, 0.00307, 0.00335, 0.00307, 0.00223, 0.00179, 0.00149, 0.00122, 0.00102, 0.00090, 0.00086, 0.00089, 0.00096, 0.00101, 0.00103, 0.00101, 0.00096, 0.00089, 0.00086, 0.00090, 0.00122, 0.00175, 0.00247, 0.00428, 0.00583, 0.00680, 0.00714, + 0.00680, 0.00583, 0.00428, 0.00247, 0.00175, 0.00122, 0.00094, 0.00091, 0.00102, 0.00095, 0.00090, 0.00089, 0.00090, 0.00095, 0.00102, 0.00091, 0.00094, 0.00168, 0.00465, 0.00938, 0.01219, 0.01323, 0.01227, 0.00938, 0.00497, 0.00168, 0.00096, 0.00085, 0.00076, 0.00073, 0.00075, 0.00085, 0.00098, 0.00287, 0.01536, 0.01537, 0.01537, 0.01537, 0.01536, 0.00287, 0.00067, + 0.00060, 0.00058, 0.00060, 0.00067, 0.00085, 0.00085, 0.00089, 0.00091, 0.00089, 0.00085, 0.00081, 0.00080, 0.00081, 0.00085, 0.00089, 0.00095, 0.00099, 0.00100, 0.00099, 0.00095, 0.00090, 0.00085, 0.00081, 0.00079, 0.00078, 0.00078, 0.00078, 0.00079, 0.00081, 0.00085, 0.00092, 0.00100, 0.00107, 0.00113, 17.02170, 0.00113, 0.00107, 0.00100, 0.00092, 0.00085, 0.00081, + 0.00079, 0.00078, 0.00078, 0.00079, 0.00078, 0.00078, 0.00079, 0.00081, 0.00088, 0.00097, 0.00109, 0.00122, 0.00133, 0.00141, 0.00144, 0.00141, 0.00133, 0.00122, 0.00109, 0.00097, 0.00088, 0.00082, 0.00079, 0.00079, 0.00081, 0.00083, 0.00083, 0.00083, 0.00081, 0.00079, 0.00079, 0.00082, 0.00095, 0.00115, 0.00140, 0.00168, 0.00209, 0.00287, 0.00314, 0.00287, 0.00209, + 0.00168, 0.00140, 0.00115, 0.00095, 0.00084, 0.00081, 0.00084, 0.00090, 0.00095, 0.00097, 0.00095, 0.00090, 0.00084, 0.00081, 0.00084, 0.00114, 0.00164, 0.00232, 0.00401, 0.00547, 0.00638, 0.00669, 0.00638, 0.00547, 0.00401, 0.00232, 0.00164, 0.00114, 0.00088, 0.00085, 0.00096, 0.00089, 0.00085, 0.00083, 0.00085, 0.00089, 0.00096, 0.00085, 0.00088, 0.00157, 0.00436, + 0.00879, 0.01142, 0.01240, 0.01150, 0.00879, 0.00465, 0.00157, 0.00090, 0.00080, 0.00071, 0.00068, 0.00071, 0.00080, 0.00092, 0.00269, 0.01440, 0.01441, 0.01441, 0.01441, 0.01440, 0.00269, 0.00063, 0.00056, 0.00054, 0.00056, 0.00063, 0.00090, 0.00090, 0.00095, 0.00097, 0.00095, 0.00090, 0.00087, 0.00086, 0.00087, 0.00090, 0.00095, 0.00101, 0.00105, 0.00107, 0.00105, + 0.00101, 0.00096, 0.00090, 0.00087, 0.00084, 0.00084, 0.00083, 0.00084, 0.00084, 0.00086, 0.00091, 0.00098, 0.00107, 0.00115, 0.00120, 0.00122, 16.74993, 0.00115, 0.00107, 0.00098, 0.00091, 0.00086, 0.00084, 0.00083, 0.00084, 0.00084, 0.00084, 0.00083, 0.00084, 0.00086, 0.00094, 0.00104, 0.00117, 0.00130, 0.00142, 0.00150, 0.00153, 0.00150, 0.00142, 0.00130, 0.00117, + 0.00104, 0.00094, 0.00087, 0.00084, 0.00085, 0.00086, 0.00088, 0.00089, 0.00088, 0.00086, 0.00085, 0.00084, 0.00087, 0.00102, 0.00122, 0.00149, 0.00179, 0.00223, 0.00307, 0.00335, 0.00307, 0.00223, 0.00179, 0.00149, 0.00122, 0.00102, 0.00090, 0.00086, 0.00089, 0.00096, 0.00101, 0.00103, 0.00101, 0.00096, 0.00089, 0.00086, 0.00090, 0.00122, 0.00175, 0.00247, 0.00428, + 0.00583, 0.00680, 0.00714, 0.00680, 0.00583, 0.00428, 0.00247, 0.00175, 0.00122, 0.00094, 0.00091, 0.00102, 0.00095, 0.00090, 0.00089, 0.00090, 0.00095, 0.00102, 0.00091, 0.00094, 0.00168, 0.00465, 0.00938, 0.01219, 0.01323, 0.01227, 0.00938, 0.00497, 0.00168, 0.00096, 0.00085, 0.00076, 0.00073, 0.00075, 0.00085, 0.00098, 0.00287, 0.01536, 0.01537, 0.01537, 0.01537, + 0.01536, 0.00287, 0.00067, 0.00060, 0.00058, 0.00060, 0.00067, 0.00107, 0.00107, 0.00112, 0.00115, 0.00112, 0.00107, 0.00103, 0.00101, 0.00103, 0.00107, 0.00113, 0.00119, 0.00124, 0.00126, 0.00124, 0.00119, 0.00113, 0.00107, 0.00102, 0.00100, 0.00099, 0.00099, 0.00099, 0.00100, 0.00102, 0.00107, 0.00116, 0.00126, 0.00135, 0.00142, 0.00145, 0.00142, 15.96122, 0.00126, + 0.00116, 0.00107, 0.00102, 0.00099, 0.00098, 0.00099, 0.00099, 0.00099, 0.00098, 0.00099, 0.00102, 0.00111, 0.00123, 0.00138, 0.00154, 0.00168, 0.00178, 0.00181, 0.00178, 0.00168, 0.00154, 0.00138, 0.00123, 0.00111, 0.00103, 0.00100, 0.00100, 0.00102, 0.00104, 0.00105, 0.00104, 0.00102, 0.00100, 0.00100, 0.00103, 0.00120, 0.00145, 0.00177, 0.00211, 0.00264, 0.00362, + 0.00396, 0.00362, 0.00264, 0.00211, 0.00177, 0.00145, 0.00120, 0.00106, 0.00102, 0.00106, 0.00113, 0.00120, 0.00122, 0.00120, 0.00113, 0.00106, 0.00102, 0.00106, 0.00144, 0.00207, 0.00292, 0.00506, 0.00689, 0.00804, 0.00843, 0.00804, 0.00689, 0.00506, 0.00292, 0.00207, 0.00144, 0.00111, 0.00107, 0.00121, 0.00112, 0.00107, 0.00105, 0.00107, 0.00112, 0.00121, 0.00107, + 0.00111, 0.00198, 0.00550, 0.01109, 0.01440, 0.01564, 0.01451, 0.01109, 0.00587, 0.00198, 0.00113, 0.00101, 0.00089, 0.00086, 0.00089, 0.00101, 0.00116, 0.00340, 0.01815, 0.01816, 0.01816, 0.01816, 0.01815, 0.00340, 0.00080, 0.00071, 0.00069, 0.00071, 0.00080, 0.00132, 0.00132, 0.00139, 0.00142, 0.00139, 0.00132, 0.00127, 0.00126, 0.00127, 0.00132, 0.00140, 0.00148, + 0.00154, 0.00157, 0.00154, 0.00148, 0.00140, 0.00132, 0.00127, 0.00124, 0.00122, 0.00122, 0.00122, 0.00124, 0.00127, 0.00133, 0.00144, 0.00156, 0.00168, 0.00176, 0.00179, 0.00176, 0.00168, 14.73275, 0.00144, 0.00133, 0.00126, 0.00123, 0.00122, 0.00123, 0.00123, 0.00123, 0.00122, 0.00123, 0.00126, 0.00137, 0.00152, 0.00171, 0.00191, 0.00208, 0.00220, 0.00225, 0.00220, + 0.00208, 0.00191, 0.00171, 0.00152, 0.00137, 0.00128, 0.00124, 0.00124, 0.00126, 0.00129, 0.00130, 0.00129, 0.00126, 0.00124, 0.00124, 0.00128, 0.00149, 0.00179, 0.00219, 0.00262, 0.00327, 0.00449, 0.00490, 0.00449, 0.00327, 0.00262, 0.00219, 0.00179, 0.00149, 0.00131, 0.00126, 0.00131, 0.00140, 0.00149, 0.00151, 0.00149, 0.00140, 0.00131, 0.00126, 0.00131, 0.00179, + 0.00257, 0.00362, 0.00627, 0.00854, 0.00997, 0.01046, 0.00997, 0.00854, 0.00627, 0.00362, 0.00257, 0.00179, 0.00138, 0.00133, 0.00150, 0.00139, 0.00132, 0.00130, 0.00132, 0.00139, 0.00150, 0.00133, 0.00138, 0.00246, 0.00682, 0.01374, 0.01785, 0.01938, 0.01798, 0.01374, 0.00728, 0.00246, 0.00140, 0.00125, 0.00111, 0.00107, 0.00110, 0.00125, 0.00143, 0.00421, 0.02250, + 0.02252, 0.02252, 0.02252, 0.02250, 0.00421, 0.00099, 0.00088, 0.00085, 0.00088, 0.00099, 0.00165, 0.00165, 0.00173, 0.00177, 0.00173, 0.00165, 0.00158, 0.00156, 0.00158, 0.00165, 0.00174, 0.00184, 0.00192, 0.00195, 0.00192, 0.00184, 0.00174, 0.00165, 0.00158, 0.00154, 0.00152, 0.00152, 0.00152, 0.00154, 0.00157, 0.00166, 0.00179, 0.00194, 0.00209, 0.00219, 0.00223, + 0.00219, 0.00209, 0.00194, 13.18475, 0.00166, 0.00157, 0.00153, 0.00152, 0.00152, 0.00153, 0.00152, 0.00152, 0.00153, 0.00157, 0.00171, 0.00189, 0.00212, 0.00237, 0.00259, 0.00274, 0.00279, 0.00274, 0.00259, 0.00237, 0.00212, 0.00189, 0.00171, 0.00159, 0.00154, 0.00154, 0.00157, 0.00161, 0.00162, 0.00161, 0.00157, 0.00154, 0.00154, 0.00159, 0.00185, 0.00223, 0.00272, + 0.00326, 0.00407, 0.00559, 0.00610, 0.00559, 0.00407, 0.00326, 0.00272, 0.00223, 0.00185, 0.00163, 0.00157, 0.00163, 0.00174, 0.00185, 0.00188, 0.00185, 0.00174, 0.00163, 0.00157, 0.00163, 0.00222, 0.00319, 0.00451, 0.00780, 0.01062, 0.01240, 0.01300, 0.01240, 0.01062, 0.00780, 0.00451, 0.00319, 0.00222, 0.00171, 0.00165, 0.00187, 0.00173, 0.00164, 0.00162, 0.00164, + 0.00173, 0.00187, 0.00165, 0.00171, 0.00306, 0.00848, 0.01709, 0.02220, 0.02411, 0.02236, 0.01709, 0.00905, 0.00306, 0.00174, 0.00155, 0.00138, 0.00133, 0.00137, 0.00155, 0.00178, 0.00524, 0.02799, 0.02800, 0.02800, 0.02800, 0.02799, 0.00524, 0.00123, 0.00109, 0.00106, 0.00109, 0.00123, 0.00200, 0.00200, 0.00210, 0.00215, 0.00210, 0.00200, 0.00193, 0.00190, 0.00193, + 0.00200, 0.00212, 0.00224, 0.00233, 0.00237, 0.00234, 0.00224, 0.00212, 0.00200, 0.00192, 0.00187, 0.00185, 0.00185, 0.00185, 0.00187, 0.00192, 0.00202, 0.00217, 0.00236, 0.00254, 0.00267, 0.00272, 0.00267, 0.00254, 0.00236, 0.00217, 11.46875, 0.00191, 0.00186, 0.00185, 0.00186, 0.00186, 0.00186, 0.00185, 0.00186, 0.00191, 0.00208, 0.00230, 0.00259, 0.00289, 0.00315, + 0.00333, 0.00340, 0.00333, 0.00315, 0.00289, 0.00259, 0.00230, 0.00208, 0.00193, 0.00187, 0.00188, 0.00191, 0.00195, 0.00197, 0.00195, 0.00191, 0.00188, 0.00187, 0.00193, 0.00225, 0.00271, 0.00332, 0.00397, 0.00495, 0.00680, 0.00742, 0.00680, 0.00495, 0.00397, 0.00332, 0.00271, 0.00225, 0.00199, 0.00191, 0.00198, 0.00212, 0.00225, 0.00229, 0.00225, 0.00212, 0.00198, + 0.00191, 0.00199, 0.00270, 0.00388, 0.00549, 0.00949, 0.01293, 0.01509, 0.01583, 0.01509, 0.01293, 0.00949, 0.00549, 0.00388, 0.00270, 0.00208, 0.00201, 0.00227, 0.00211, 0.00200, 0.00197, 0.00200, 0.00211, 0.00227, 0.00201, 0.00208, 0.00372, 0.01032, 0.02080, 0.02702, 0.02934, 0.02722, 0.02080, 0.01101, 0.00372, 0.00212, 0.00189, 0.00168, 0.00162, 0.00167, 0.00189, + 0.00217, 0.00637, 0.03406, 0.03408, 0.03409, 0.03408, 0.03406, 0.00637, 0.00149, 0.00133, 0.00129, 0.00133, 0.00149, 0.00236, 0.00236, 0.00248, 0.00254, 0.00248, 0.00236, 0.00227, 0.00224, 0.00227, 0.00236, 0.00249, 0.00264, 0.00275, 0.00279, 0.00275, 0.00264, 0.00250, 0.00236, 0.00226, 0.00221, 0.00218, 0.00218, 0.00218, 0.00221, 0.00226, 0.00238, 0.00256, 0.00278, + 0.00299, 0.00315, 0.00320, 0.00315, 0.00299, 0.00278, 0.00256, 0.00238, 9.75276, 0.00219, 0.00218, 0.00219, 0.00219, 0.00219, 0.00218, 0.00219, 0.00225, 0.00245, 0.00271, 0.00305, 0.00340, 0.00371, 0.00393, 0.00401, 0.00393, 0.00371, 0.00340, 0.00305, 0.00271, 0.00245, 0.00228, 0.00221, 0.00221, 0.00226, 0.00230, 0.00232, 0.00230, 0.00226, 0.00221, 0.00221, 0.00228, + 0.00266, 0.00320, 0.00391, 0.00467, 0.00583, 0.00801, 0.00875, 0.00801, 0.00583, 0.00467, 0.00391, 0.00320, 0.00266, 0.00234, 0.00225, 0.00233, 0.00250, 0.00265, 0.00270, 0.00265, 0.00250, 0.00233, 0.00225, 0.00234, 0.00319, 0.00458, 0.00646, 0.01119, 0.01524, 0.01778, 0.01865, 0.01778, 0.01524, 0.01119, 0.00646, 0.00458, 0.00319, 0.00246, 0.00237, 0.00268, 0.00248, + 0.00236, 0.00232, 0.00236, 0.00248, 0.00268, 0.00237, 0.00246, 0.00439, 0.01216, 0.02451, 0.03185, 0.03458, 0.03207, 0.02451, 0.01298, 0.00439, 0.00250, 0.00222, 0.00197, 0.00191, 0.00197, 0.00222, 0.00255, 0.00751, 0.04014, 0.04016, 0.04017, 0.04016, 0.04014, 0.00751, 0.00176, 0.00157, 0.00152, 0.00157, 0.00176, 0.00268, 0.00268, 0.00282, 0.00288, 0.00282, 0.00268, + 0.00258, 0.00255, 0.00258, 0.00268, 0.00283, 0.00300, 0.00312, 0.00317, 0.00313, 0.00300, 0.00284, 0.00268, 0.00257, 0.00251, 0.00248, 0.00248, 0.00248, 0.00251, 0.00257, 0.00270, 0.00291, 0.00316, 0.00340, 0.00358, 0.00364, 0.00358, 0.00340, 0.00316, 0.00291, 0.00270, 0.00256, 8.20477, 0.00248, 0.00248, 0.00249, 0.00248, 0.00248, 0.00249, 0.00256, 0.00278, 0.00308, + 0.00346, 0.00387, 0.00422, 0.00447, 0.00455, 0.00447, 0.00422, 0.00387, 0.00346, 0.00308, 0.00278, 0.00259, 0.00251, 0.00251, 0.00256, 0.00262, 0.00264, 0.00262, 0.00256, 0.00251, 0.00251, 0.00259, 0.00302, 0.00363, 0.00444, 0.00531, 0.00663, 0.00911, 0.00994, 0.00911, 0.00663, 0.00531, 0.00444, 0.00363, 0.00302, 0.00266, 0.00256, 0.00265, 0.00284, 0.00301, 0.00307, + 0.00301, 0.00284, 0.00265, 0.00256, 0.00266, 0.00362, 0.00520, 0.00735, 0.01272, 0.01732, 0.02021, 0.02120, 0.02021, 0.01732, 0.01272, 0.00735, 0.00520, 0.00362, 0.00279, 0.00269, 0.00304, 0.00282, 0.00268, 0.00263, 0.00268, 0.00282, 0.00304, 0.00269, 0.00279, 0.00499, 0.01382, 0.02786, 0.03619, 0.03930, 0.03646, 0.02786, 0.01475, 0.00499, 0.00284, 0.00253, 0.00224, + 0.00217, 0.00223, 0.00253, 0.00290, 0.00854, 0.04562, 0.04565, 0.04565, 0.04565, 0.04562, 0.00854, 0.00200, 0.00178, 0.00172, 0.00178, 0.00200, 0.00294, 0.00294, 0.00309, 0.00316, 0.00309, 0.00294, 0.00283, 0.00279, 0.00283, 0.00294, 0.00310, 0.00329, 0.00342, 0.00348, 0.00343, 0.00329, 0.00311, 0.00294, 0.00282, 0.00275, 0.00272, 0.00271, 0.00272, 0.00275, 0.00281, + 0.00296, 0.00319, 0.00347, 0.00373, 0.00392, 0.00399, 0.00392, 0.00373, 0.00347, 0.00319, 0.00296, 0.00280, 0.00273, 6.97631, 0.00272, 0.00273, 0.00272, 0.00271, 0.00273, 0.00280, 0.00305, 0.00338, 0.00379, 0.00423, 0.00462, 0.00489, 0.00499, 0.00489, 0.00462, 0.00423, 0.00379, 0.00338, 0.00305, 0.00283, 0.00275, 0.00275, 0.00281, 0.00287, 0.00289, 0.00287, 0.00281, + 0.00275, 0.00275, 0.00283, 0.00331, 0.00398, 0.00486, 0.00582, 0.00726, 0.00998, 0.01089, 0.00998, 0.00726, 0.00582, 0.00486, 0.00398, 0.00331, 0.00291, 0.00280, 0.00291, 0.00312, 0.00330, 0.00336, 0.00330, 0.00312, 0.00291, 0.00280, 0.00291, 0.00397, 0.00570, 0.00805, 0.01393, 0.01897, 0.02214, 0.02322, 0.02214, 0.01897, 0.01393, 0.00805, 0.00570, 0.00397, 0.00306, + 0.00295, 0.00333, 0.00309, 0.00294, 0.00288, 0.00294, 0.00309, 0.00333, 0.00295, 0.00306, 0.00546, 0.01514, 0.03052, 0.03965, 0.04305, 0.03993, 0.03052, 0.01616, 0.00546, 0.00311, 0.00277, 0.00246, 0.00237, 0.00245, 0.00277, 0.00318, 0.00935, 0.04997, 0.05000, 0.05001, 0.05000, 0.04997, 0.00935, 0.00219, 0.00195, 0.00189, 0.00195, 0.00219, 0.00310, 0.00310, 0.00326, + 0.00334, 0.00326, 0.00310, 0.00298, 0.00295, 0.00298, 0.00310, 0.00328, 0.00347, 0.00361, 0.00367, 0.00362, 0.00347, 0.00329, 0.00310, 0.00297, 0.00290, 0.00287, 0.00286, 0.00287, 0.00290, 0.00297, 0.00312, 0.00337, 0.00366, 0.00394, 0.00414, 0.00421, 0.00414, 0.00394, 0.00366, 0.00337, 0.00312, 0.00296, 0.00288, 0.00286, 6.18761, 0.00288, 0.00287, 0.00286, 0.00288, + 0.00296, 0.00322, 0.00357, 0.00401, 0.00447, 0.00488, 0.00517, 0.00527, 0.00517, 0.00488, 0.00447, 0.00401, 0.00357, 0.00322, 0.00299, 0.00290, 0.00291, 0.00297, 0.00303, 0.00305, 0.00303, 0.00297, 0.00291, 0.00290, 0.00299, 0.00349, 0.00420, 0.00514, 0.00614, 0.00767, 0.01053, 0.01150, 0.01053, 0.00767, 0.00614, 0.00514, 0.00420, 0.00349, 0.00308, 0.00296, 0.00307, + 0.00329, 0.00348, 0.00355, 0.00348, 0.00329, 0.00307, 0.00296, 0.00308, 0.00419, 0.00602, 0.00850, 0.01471, 0.02003, 0.02338, 0.02452, 0.02338, 0.02003, 0.01471, 0.00850, 0.00602, 0.00419, 0.00323, 0.00311, 0.00352, 0.00326, 0.00310, 0.00305, 0.00310, 0.00326, 0.00352, 0.00311, 0.00323, 0.00577, 0.01598, 0.03222, 0.04186, 0.04545, 0.04216, 0.03222, 0.01706, 0.00577, + 0.00329, 0.00292, 0.00259, 0.00251, 0.00258, 0.00292, 0.00336, 0.00988, 0.05277, 0.05280, 0.05280, 0.05280, 0.05277, 0.00988, 0.00232, 0.00206, 0.00199, 0.00206, 0.00232, 0.00316, 0.00316, 0.00332, 0.00340, 0.00332, 0.00316, 0.00304, 0.00300, 0.00304, 0.00316, 0.00334, 0.00353, 0.00368, 0.00374, 0.00368, 0.00353, 0.00334, 0.00316, 0.00303, 0.00295, 0.00292, 0.00292, + 0.00292, 0.00295, 0.00302, 0.00318, 0.00343, 0.00373, 0.00401, 0.00421, 0.00428, 0.00421, 0.00401, 0.00373, 0.00343, 0.00318, 0.00301, 0.00293, 0.00291, 0.00293, 5.91585, 0.00293, 0.00291, 0.00293, 0.00301, 0.00328, 0.00363, 0.00408, 0.00455, 0.00497, 0.00526, 0.00536, 0.00526, 0.00497, 0.00455, 0.00408, 0.00363, 0.00328, 0.00305, 0.00295, 0.00296, 0.00302, 0.00308, + 0.00311, 0.00308, 0.00302, 0.00296, 0.00295, 0.00305, 0.00355, 0.00428, 0.00523, 0.00626, 0.00781, 0.01073, 0.01171, 0.01073, 0.00781, 0.00626, 0.00523, 0.00428, 0.00355, 0.00313, 0.00302, 0.00313, 0.00335, 0.00355, 0.00361, 0.00355, 0.00335, 0.00313, 0.00302, 0.00313, 0.00427, 0.00612, 0.00865, 0.01498, 0.02040, 0.02380, 0.02497, 0.02380, 0.02040, 0.01498, 0.00865, + 0.00612, 0.00427, 0.00329, 0.00317, 0.00358, 0.00332, 0.00316, 0.00310, 0.00316, 0.00332, 0.00358, 0.00317, 0.00329, 0.00587, 0.01627, 0.03281, 0.04263, 0.04628, 0.04293, 0.03281, 0.01737, 0.00587, 0.00335, 0.00298, 0.00264, 0.00255, 0.00263, 0.00298, 0.00342, 0.01006, 0.05373, 0.05376, 0.05377, 0.05376, 0.05373, 0.01006, 0.00236, 0.00209, 0.00203, 0.00209, 0.00236, + 0.00310, 0.00310, 0.00326, 0.00334, 0.00326, 0.00310, 0.00298, 0.00295, 0.00298, 0.00310, 0.00328, 0.00347, 0.00361, 0.00367, 0.00362, 0.00347, 0.00329, 0.00310, 0.00297, 0.00290, 0.00287, 0.00286, 0.00287, 0.00290, 0.00297, 0.00312, 0.00337, 0.00366, 0.00394, 0.00414, 0.00421, 0.00414, 0.00394, 0.00366, 0.00337, 0.00312, 0.00296, 0.00288, 0.00286, 0.00287, 0.00288, + 6.18761, 0.00286, 0.00288, 0.00296, 0.00322, 0.00357, 0.00401, 0.00447, 0.00488, 0.00517, 0.00527, 0.00517, 0.00488, 0.00447, 0.00401, 0.00357, 0.00322, 0.00299, 0.00290, 0.00291, 0.00297, 0.00303, 0.00305, 0.00303, 0.00297, 0.00291, 0.00290, 0.00299, 0.00349, 0.00420, 0.00514, 0.00614, 0.00767, 0.01053, 0.01150, 0.01053, 0.00767, 0.00614, 0.00514, 0.00420, 0.00349, + 0.00308, 0.00296, 0.00307, 0.00329, 0.00348, 0.00355, 0.00348, 0.00329, 0.00307, 0.00296, 0.00308, 0.00419, 0.00602, 0.00850, 0.01471, 0.02003, 0.02338, 0.02452, 0.02338, 0.02003, 0.01471, 0.00850, 0.00602, 0.00419, 0.00323, 0.00311, 0.00352, 0.00326, 0.00310, 0.00305, 0.00310, 0.00326, 0.00352, 0.00311, 0.00323, 0.00577, 0.01598, 0.03222, 0.04186, 0.04545, 0.04216, + 0.03222, 0.01706, 0.00577, 0.00329, 0.00292, 0.00259, 0.00251, 0.00258, 0.00292, 0.00336, 0.00988, 0.05277, 0.05280, 0.05280, 0.05280, 0.05277, 0.00988, 0.00232, 0.00206, 0.00199, 0.00206, 0.00232, 0.00294, 0.00294, 0.00309, 0.00316, 0.00309, 0.00294, 0.00283, 0.00279, 0.00283, 0.00294, 0.00310, 0.00329, 0.00342, 0.00348, 0.00343, 0.00329, 0.00311, 0.00294, 0.00282, + 0.00275, 0.00272, 0.00271, 0.00272, 0.00275, 0.00281, 0.00296, 0.00319, 0.00347, 0.00373, 0.00392, 0.00399, 0.00392, 0.00373, 0.00347, 0.00319, 0.00296, 0.00280, 0.00273, 0.00271, 0.00272, 0.00273, 0.00272, 6.97631, 0.00273, 0.00280, 0.00305, 0.00338, 0.00379, 0.00423, 0.00462, 0.00489, 0.00499, 0.00489, 0.00462, 0.00423, 0.00379, 0.00338, 0.00305, 0.00283, 0.00275, + 0.00275, 0.00281, 0.00287, 0.00289, 0.00287, 0.00281, 0.00275, 0.00275, 0.00283, 0.00331, 0.00398, 0.00486, 0.00582, 0.00726, 0.00998, 0.01089, 0.00998, 0.00726, 0.00582, 0.00486, 0.00398, 0.00331, 0.00291, 0.00280, 0.00291, 0.00312, 0.00330, 0.00336, 0.00330, 0.00312, 0.00291, 0.00280, 0.00291, 0.00397, 0.00570, 0.00805, 0.01393, 0.01897, 0.02214, 0.02322, 0.02214, + 0.01897, 0.01393, 0.00805, 0.00570, 0.00397, 0.00306, 0.00295, 0.00333, 0.00309, 0.00294, 0.00288, 0.00294, 0.00309, 0.00333, 0.00295, 0.00306, 0.00546, 0.01514, 0.03052, 0.03965, 0.04305, 0.03993, 0.03052, 0.01616, 0.00546, 0.00311, 0.00277, 0.00246, 0.00237, 0.00245, 0.00277, 0.00318, 0.00935, 0.04997, 0.05000, 0.05001, 0.05000, 0.04997, 0.00935, 0.00219, 0.00195, + 0.00189, 0.00195, 0.00219, 0.00268, 0.00268, 0.00282, 0.00288, 0.00282, 0.00268, 0.00258, 0.00255, 0.00258, 0.00268, 0.00283, 0.00300, 0.00312, 0.00317, 0.00313, 0.00300, 0.00284, 0.00268, 0.00257, 0.00251, 0.00248, 0.00248, 0.00248, 0.00251, 0.00257, 0.00270, 0.00291, 0.00316, 0.00340, 0.00358, 0.00364, 0.00358, 0.00340, 0.00316, 0.00291, 0.00270, 0.00256, 0.00249, + 0.00248, 0.00248, 0.00249, 0.00248, 0.00248, 8.20477, 0.00256, 0.00278, 0.00308, 0.00346, 0.00387, 0.00422, 0.00447, 0.00455, 0.00447, 0.00422, 0.00387, 0.00346, 0.00308, 0.00278, 0.00259, 0.00251, 0.00251, 0.00256, 0.00262, 0.00264, 0.00262, 0.00256, 0.00251, 0.00251, 0.00259, 0.00302, 0.00363, 0.00444, 0.00531, 0.00663, 0.00911, 0.00994, 0.00911, 0.00663, 0.00531, + 0.00444, 0.00363, 0.00302, 0.00266, 0.00256, 0.00265, 0.00284, 0.00301, 0.00307, 0.00301, 0.00284, 0.00265, 0.00256, 0.00266, 0.00362, 0.00520, 0.00735, 0.01272, 0.01732, 0.02021, 0.02120, 0.02021, 0.01732, 0.01272, 0.00735, 0.00520, 0.00362, 0.00279, 0.00269, 0.00304, 0.00282, 0.00268, 0.00263, 0.00268, 0.00282, 0.00304, 0.00269, 0.00279, 0.00499, 0.01382, 0.02786, + 0.03619, 0.03930, 0.03646, 0.02786, 0.01475, 0.00499, 0.00284, 0.00253, 0.00224, 0.00217, 0.00223, 0.00253, 0.00290, 0.00854, 0.04562, 0.04565, 0.04565, 0.04565, 0.04562, 0.00854, 0.00200, 0.00178, 0.00172, 0.00178, 0.00200, 0.00236, 0.00236, 0.00248, 0.00254, 0.00248, 0.00236, 0.00227, 0.00224, 0.00227, 0.00236, 0.00249, 0.00264, 0.00275, 0.00279, 0.00275, 0.00264, + 0.00250, 0.00236, 0.00226, 0.00221, 0.00218, 0.00218, 0.00218, 0.00221, 0.00226, 0.00238, 0.00256, 0.00278, 0.00299, 0.00315, 0.00320, 0.00315, 0.00299, 0.00278, 0.00256, 0.00238, 0.00225, 0.00219, 0.00218, 0.00219, 0.00219, 0.00219, 0.00218, 0.00219, 9.75276, 0.00245, 0.00271, 0.00305, 0.00340, 0.00371, 0.00393, 0.00401, 0.00393, 0.00371, 0.00340, 0.00305, 0.00271, + 0.00245, 0.00228, 0.00221, 0.00221, 0.00226, 0.00230, 0.00232, 0.00230, 0.00226, 0.00221, 0.00221, 0.00228, 0.00266, 0.00320, 0.00391, 0.00467, 0.00583, 0.00801, 0.00875, 0.00801, 0.00583, 0.00467, 0.00391, 0.00320, 0.00266, 0.00234, 0.00225, 0.00233, 0.00250, 0.00265, 0.00270, 0.00265, 0.00250, 0.00233, 0.00225, 0.00234, 0.00319, 0.00458, 0.00646, 0.01119, 0.01524, + 0.01778, 0.01865, 0.01778, 0.01524, 0.01119, 0.00646, 0.00458, 0.00319, 0.00246, 0.00237, 0.00268, 0.00248, 0.00236, 0.00232, 0.00236, 0.00248, 0.00268, 0.00237, 0.00246, 0.00439, 0.01216, 0.02451, 0.03185, 0.03458, 0.03207, 0.02451, 0.01298, 0.00439, 0.00250, 0.00222, 0.00197, 0.00191, 0.00197, 0.00222, 0.00255, 0.00751, 0.04014, 0.04016, 0.04017, 0.04016, 0.04014, + 0.00751, 0.00176, 0.00157, 0.00152, 0.00157, 0.00176, 0.00195, 0.00194, 0.00204, 0.00209, 0.00204, 0.00194, 0.00187, 0.00185, 0.00187, 0.00194, 0.00205, 0.00218, 0.00227, 0.00230, 0.00227, 0.00218, 0.00206, 0.00194, 0.00186, 0.00182, 0.00180, 0.00179, 0.00180, 0.00182, 0.00186, 0.00196, 0.00211, 0.00230, 0.00247, 0.00260, 0.00264, 0.00260, 0.00247, 0.00230, 0.00211, + 0.00196, 0.00185, 0.00180, 0.00179, 0.00180, 0.00180, 0.00180, 0.00179, 0.00180, 0.00185, 11.72583, 0.00224, 0.00251, 0.00281, 0.00307, 0.00324, 0.00331, 0.00324, 0.00307, 0.00281, 0.00251, 0.00224, 0.00202, 0.00188, 0.00182, 0.00182, 0.00186, 0.00189, 0.00191, 0.00189, 0.00186, 0.00182, 0.00182, 0.00188, 0.00219, 0.00264, 0.00322, 0.00386, 0.00481, 0.00661, 0.00721, + 0.00661, 0.00481, 0.00386, 0.00322, 0.00264, 0.00219, 0.00193, 0.00185, 0.00192, 0.00206, 0.00218, 0.00222, 0.00218, 0.00206, 0.00192, 0.00185, 0.00193, 0.00263, 0.00377, 0.00533, 0.00922, 0.01255, 0.01464, 0.01535, 0.01464, 0.01255, 0.00922, 0.00533, 0.00377, 0.00263, 0.00202, 0.00195, 0.00220, 0.00204, 0.00194, 0.00191, 0.00194, 0.00204, 0.00220, 0.00195, 0.00202, + 0.00362, 0.01003, 0.02017, 0.02619, 0.02844, 0.02638, 0.02017, 0.01070, 0.00362, 0.00206, 0.00183, 0.00162, 0.00157, 0.00162, 0.00183, 0.00210, 0.00619, 0.03300, 0.03302, 0.03303, 0.03302, 0.03300, 0.00619, 0.00145, 0.00129, 0.00125, 0.00129, 0.00145, 0.00152, 0.00152, 0.00160, 0.00164, 0.00160, 0.00152, 0.00146, 0.00144, 0.00146, 0.00152, 0.00161, 0.00170, 0.00177, + 0.00180, 0.00178, 0.00170, 0.00161, 0.00152, 0.00146, 0.00142, 0.00141, 0.00140, 0.00141, 0.00142, 0.00146, 0.00153, 0.00165, 0.00180, 0.00193, 0.00203, 0.00207, 0.00203, 0.00193, 0.00180, 0.00165, 0.00153, 0.00145, 0.00141, 0.00140, 0.00141, 0.00141, 0.00141, 0.00140, 0.00141, 0.00145, 0.00158, 13.86151, 0.00197, 0.00220, 0.00240, 0.00254, 0.00259, 0.00254, 0.00240, + 0.00220, 0.00197, 0.00175, 0.00158, 0.00147, 0.00142, 0.00142, 0.00145, 0.00148, 0.00150, 0.00148, 0.00145, 0.00142, 0.00142, 0.00147, 0.00171, 0.00206, 0.00252, 0.00302, 0.00377, 0.00517, 0.00565, 0.00517, 0.00377, 0.00302, 0.00252, 0.00206, 0.00171, 0.00151, 0.00145, 0.00150, 0.00161, 0.00171, 0.00174, 0.00171, 0.00161, 0.00150, 0.00145, 0.00151, 0.00206, 0.00296, + 0.00418, 0.00722, 0.00982, 0.01146, 0.01202, 0.01146, 0.00982, 0.00722, 0.00418, 0.00296, 0.00206, 0.00158, 0.00153, 0.00172, 0.00160, 0.00152, 0.00149, 0.00152, 0.00160, 0.00172, 0.00153, 0.00158, 0.00283, 0.00785, 0.01579, 0.02051, 0.02226, 0.02065, 0.01579, 0.00838, 0.00283, 0.00161, 0.00143, 0.00127, 0.00123, 0.00127, 0.00143, 0.00165, 0.00484, 0.02584, 0.02585, + 0.02585, 0.02585, 0.02584, 0.00484, 0.00113, 0.00101, 0.00098, 0.00101, 0.00113, 0.00113, 0.00113, 0.00119, 0.00121, 0.00119, 0.00113, 0.00109, 0.00107, 0.00109, 0.00113, 0.00119, 0.00126, 0.00132, 0.00134, 0.00132, 0.00126, 0.00120, 0.00113, 0.00108, 0.00105, 0.00104, 0.00104, 0.00104, 0.00105, 0.00108, 0.00114, 0.00123, 0.00133, 0.00143, 0.00151, 0.00153, 0.00151, + 0.00143, 0.00133, 0.00123, 0.00114, 0.00108, 0.00105, 0.00104, 0.00104, 0.00105, 0.00104, 0.00104, 0.00105, 0.00108, 0.00117, 0.00130, 15.85161, 0.00163, 0.00178, 0.00188, 0.00192, 0.00188, 0.00178, 0.00163, 0.00146, 0.00130, 0.00117, 0.00109, 0.00105, 0.00106, 0.00108, 0.00110, 0.00111, 0.00110, 0.00108, 0.00106, 0.00105, 0.00109, 0.00127, 0.00153, 0.00187, 0.00224, + 0.00279, 0.00383, 0.00419, 0.00383, 0.00279, 0.00224, 0.00187, 0.00153, 0.00127, 0.00112, 0.00108, 0.00111, 0.00119, 0.00126, 0.00129, 0.00126, 0.00119, 0.00111, 0.00108, 0.00112, 0.00152, 0.00219, 0.00310, 0.00535, 0.00728, 0.00850, 0.00891, 0.00850, 0.00728, 0.00535, 0.00310, 0.00219, 0.00152, 0.00117, 0.00113, 0.00128, 0.00118, 0.00113, 0.00111, 0.00113, 0.00118, + 0.00128, 0.00113, 0.00117, 0.00210, 0.00582, 0.01171, 0.01520, 0.01651, 0.01531, 0.01171, 0.00621, 0.00210, 0.00119, 0.00106, 0.00094, 0.00091, 0.00094, 0.00106, 0.00122, 0.00359, 0.01916, 0.01917, 0.01917, 0.01917, 0.01916, 0.00359, 0.00084, 0.00075, 0.00072, 0.00075, 0.00084, 0.00079, 0.00079, 0.00083, 0.00085, 0.00083, 0.00079, 0.00076, 0.00075, 0.00076, 0.00079, + 0.00084, 0.00089, 0.00092, 0.00094, 0.00092, 0.00089, 0.00084, 0.00079, 0.00076, 0.00074, 0.00073, 0.00073, 0.00073, 0.00074, 0.00076, 0.00080, 0.00086, 0.00093, 0.00100, 0.00106, 0.00107, 0.00106, 0.00100, 0.00093, 0.00086, 0.00080, 0.00075, 0.00073, 0.00073, 0.00073, 0.00073, 0.00073, 0.00073, 0.00073, 0.00075, 0.00082, 0.00091, 0.00102, 17.56048, 0.00125, 0.00132, + 0.00134, 0.00132, 0.00125, 0.00114, 0.00102, 0.00091, 0.00082, 0.00076, 0.00074, 0.00074, 0.00075, 0.00077, 0.00078, 0.00077, 0.00075, 0.00074, 0.00074, 0.00076, 0.00089, 0.00107, 0.00131, 0.00157, 0.00196, 0.00269, 0.00293, 0.00269, 0.00196, 0.00157, 0.00131, 0.00107, 0.00089, 0.00078, 0.00075, 0.00078, 0.00084, 0.00089, 0.00090, 0.00089, 0.00084, 0.00078, 0.00075, + 0.00078, 0.00107, 0.00154, 0.00217, 0.00375, 0.00510, 0.00595, 0.00624, 0.00595, 0.00510, 0.00375, 0.00217, 0.00154, 0.00107, 0.00082, 0.00079, 0.00090, 0.00083, 0.00079, 0.00078, 0.00079, 0.00083, 0.00090, 0.00079, 0.00082, 0.00147, 0.00408, 0.00820, 0.01065, 0.01156, 0.01073, 0.00820, 0.00435, 0.00147, 0.00084, 0.00074, 0.00066, 0.00064, 0.00066, 0.00074, 0.00085, + 0.00252, 0.01342, 0.01343, 0.01343, 0.01343, 0.01342, 0.00252, 0.00059, 0.00052, 0.00051, 0.00052, 0.00059, 0.00053, 0.00053, 0.00056, 0.00057, 0.00056, 0.00053, 0.00051, 0.00050, 0.00051, 0.00053, 0.00056, 0.00059, 0.00062, 0.00063, 0.00062, 0.00059, 0.00056, 0.00053, 0.00051, 0.00050, 0.00049, 0.00049, 0.00049, 0.00050, 0.00051, 0.00054, 0.00058, 0.00063, 0.00068, + 0.00071, 0.00072, 0.00071, 0.00068, 0.00063, 0.00058, 0.00054, 0.00051, 0.00049, 0.00049, 0.00049, 0.00049, 0.00049, 0.00049, 0.00049, 0.00051, 0.00055, 0.00061, 0.00069, 0.00077, 18.87168, 0.00089, 0.00090, 0.00089, 0.00084, 0.00077, 0.00069, 0.00061, 0.00055, 0.00051, 0.00050, 0.00050, 0.00051, 0.00052, 0.00052, 0.00052, 0.00051, 0.00050, 0.00050, 0.00051, 0.00060, + 0.00072, 0.00088, 0.00105, 0.00132, 0.00181, 0.00197, 0.00181, 0.00132, 0.00105, 0.00088, 0.00072, 0.00060, 0.00053, 0.00051, 0.00052, 0.00056, 0.00060, 0.00061, 0.00060, 0.00056, 0.00052, 0.00051, 0.00053, 0.00072, 0.00103, 0.00146, 0.00252, 0.00343, 0.00400, 0.00420, 0.00400, 0.00343, 0.00252, 0.00146, 0.00103, 0.00072, 0.00055, 0.00053, 0.00060, 0.00056, 0.00053, + 0.00052, 0.00053, 0.00056, 0.00060, 0.00053, 0.00055, 0.00099, 0.00274, 0.00551, 0.00716, 0.00777, 0.00721, 0.00551, 0.00293, 0.00099, 0.00056, 0.00050, 0.00044, 0.00043, 0.00044, 0.00050, 0.00057, 0.00169, 0.00902, 0.00903, 0.00903, 0.00903, 0.00902, 0.00169, 0.00040, 0.00035, 0.00034, 0.00035, 0.00040, 0.00037, 0.00037, 0.00039, 0.00040, 0.00039, 0.00037, 0.00035, + 0.00035, 0.00035, 0.00037, 0.00039, 0.00041, 0.00043, 0.00044, 0.00043, 0.00041, 0.00039, 0.00037, 0.00035, 0.00034, 0.00034, 0.00034, 0.00034, 0.00034, 0.00035, 0.00037, 0.00040, 0.00044, 0.00047, 0.00049, 0.00050, 0.00049, 0.00047, 0.00044, 0.00040, 0.00037, 0.00035, 0.00034, 0.00034, 0.00034, 0.00034, 0.00034, 0.00034, 0.00034, 0.00035, 0.00038, 0.00042, 0.00048, + 0.00053, 0.00058, 19.69590, 0.00063, 0.00061, 0.00058, 0.00053, 0.00048, 0.00042, 0.00038, 0.00036, 0.00034, 0.00034, 0.00035, 0.00036, 0.00036, 0.00036, 0.00035, 0.00034, 0.00034, 0.00036, 0.00041, 0.00050, 0.00061, 0.00073, 0.00091, 0.00125, 0.00137, 0.00125, 0.00091, 0.00073, 0.00061, 0.00050, 0.00041, 0.00037, 0.00035, 0.00036, 0.00039, 0.00041, 0.00042, 0.00041, + 0.00039, 0.00036, 0.00035, 0.00037, 0.00050, 0.00072, 0.00101, 0.00175, 0.00238, 0.00277, 0.00291, 0.00277, 0.00238, 0.00175, 0.00101, 0.00072, 0.00050, 0.00038, 0.00037, 0.00042, 0.00039, 0.00037, 0.00036, 0.00037, 0.00039, 0.00042, 0.00037, 0.00038, 0.00069, 0.00190, 0.00382, 0.00496, 0.00539, 0.00500, 0.00382, 0.00203, 0.00069, 0.00039, 0.00035, 0.00031, 0.00030, + 0.00031, 0.00035, 0.00040, 0.00117, 0.00625, 0.00626, 0.00626, 0.00626, 0.00625, 0.00117, 0.00027, 0.00024, 0.00024, 0.00024, 0.00027, 0.00031, 0.00031, 0.00033, 0.00034, 0.00033, 0.00031, 0.00030, 0.00030, 0.00030, 0.00031, 0.00033, 0.00035, 0.00036, 0.00037, 0.00037, 0.00035, 0.00033, 0.00031, 0.00030, 0.00029, 0.00029, 0.00029, 0.00029, 0.00029, 0.00030, 0.00032, + 0.00034, 0.00037, 0.00040, 0.00042, 0.00042, 0.00042, 0.00040, 0.00037, 0.00034, 0.00032, 0.00030, 0.00029, 0.00029, 0.00029, 0.00029, 0.00029, 0.00029, 0.00029, 0.00030, 0.00032, 0.00036, 0.00040, 0.00045, 0.00049, 0.00052, 19.97702, 0.00052, 0.00049, 0.00045, 0.00040, 0.00036, 0.00032, 0.00030, 0.00029, 0.00029, 0.00030, 0.00030, 0.00031, 0.00030, 0.00030, 0.00029, + 0.00029, 0.00030, 0.00035, 0.00042, 0.00052, 0.00062, 0.00077, 0.00106, 0.00116, 0.00106, 0.00077, 0.00062, 0.00052, 0.00042, 0.00035, 0.00031, 0.00030, 0.00031, 0.00033, 0.00035, 0.00036, 0.00035, 0.00033, 0.00031, 0.00030, 0.00031, 0.00042, 0.00061, 0.00086, 0.00148, 0.00202, 0.00236, 0.00247, 0.00236, 0.00202, 0.00148, 0.00086, 0.00061, 0.00042, 0.00033, 0.00031, + 0.00035, 0.00033, 0.00031, 0.00031, 0.00031, 0.00033, 0.00035, 0.00031, 0.00033, 0.00058, 0.00161, 0.00325, 0.00421, 0.00458, 0.00424, 0.00325, 0.00172, 0.00058, 0.00033, 0.00029, 0.00026, 0.00025, 0.00026, 0.00029, 0.00034, 0.00100, 0.00531, 0.00531, 0.00531, 0.00531, 0.00531, 0.00100, 0.00023, 0.00021, 0.00020, 0.00021, 0.00023, 0.00037, 0.00037, 0.00039, 0.00040, + 0.00039, 0.00037, 0.00035, 0.00035, 0.00035, 0.00037, 0.00039, 0.00041, 0.00043, 0.00044, 0.00043, 0.00041, 0.00039, 0.00037, 0.00035, 0.00034, 0.00034, 0.00034, 0.00034, 0.00034, 0.00035, 0.00037, 0.00040, 0.00044, 0.00047, 0.00049, 0.00050, 0.00049, 0.00047, 0.00044, 0.00040, 0.00037, 0.00035, 0.00034, 0.00034, 0.00034, 0.00034, 0.00034, 0.00034, 0.00034, 0.00035, + 0.00038, 0.00042, 0.00048, 0.00053, 0.00058, 0.00061, 0.00063, 19.69590, 0.00058, 0.00053, 0.00048, 0.00042, 0.00038, 0.00036, 0.00034, 0.00034, 0.00035, 0.00036, 0.00036, 0.00036, 0.00035, 0.00034, 0.00034, 0.00036, 0.00041, 0.00050, 0.00061, 0.00073, 0.00091, 0.00125, 0.00137, 0.00125, 0.00091, 0.00073, 0.00061, 0.00050, 0.00041, 0.00037, 0.00035, 0.00036, 0.00039, + 0.00041, 0.00042, 0.00041, 0.00039, 0.00036, 0.00035, 0.00037, 0.00050, 0.00072, 0.00101, 0.00175, 0.00238, 0.00277, 0.00291, 0.00277, 0.00238, 0.00175, 0.00101, 0.00072, 0.00050, 0.00038, 0.00037, 0.00042, 0.00039, 0.00037, 0.00036, 0.00037, 0.00039, 0.00042, 0.00037, 0.00038, 0.00069, 0.00190, 0.00382, 0.00496, 0.00539, 0.00500, 0.00382, 0.00203, 0.00069, 0.00039, + 0.00035, 0.00031, 0.00030, 0.00031, 0.00035, 0.00040, 0.00117, 0.00625, 0.00626, 0.00626, 0.00626, 0.00625, 0.00117, 0.00027, 0.00024, 0.00024, 0.00024, 0.00027, 0.00053, 0.00053, 0.00056, 0.00057, 0.00056, 0.00053, 0.00051, 0.00050, 0.00051, 0.00053, 0.00056, 0.00059, 0.00062, 0.00063, 0.00062, 0.00059, 0.00056, 0.00053, 0.00051, 0.00050, 0.00049, 0.00049, 0.00049, + 0.00050, 0.00051, 0.00054, 0.00058, 0.00063, 0.00068, 0.00071, 0.00072, 0.00071, 0.00068, 0.00063, 0.00058, 0.00054, 0.00051, 0.00049, 0.00049, 0.00049, 0.00049, 0.00049, 0.00049, 0.00049, 0.00051, 0.00055, 0.00061, 0.00069, 0.00077, 0.00084, 0.00089, 0.00090, 0.00089, 18.87168, 0.00077, 0.00069, 0.00061, 0.00055, 0.00051, 0.00050, 0.00050, 0.00051, 0.00052, 0.00052, + 0.00052, 0.00051, 0.00050, 0.00050, 0.00051, 0.00060, 0.00072, 0.00088, 0.00105, 0.00132, 0.00181, 0.00197, 0.00181, 0.00132, 0.00105, 0.00088, 0.00072, 0.00060, 0.00053, 0.00051, 0.00052, 0.00056, 0.00060, 0.00061, 0.00060, 0.00056, 0.00052, 0.00051, 0.00053, 0.00072, 0.00103, 0.00146, 0.00252, 0.00343, 0.00400, 0.00420, 0.00400, 0.00343, 0.00252, 0.00146, 0.00103, + 0.00072, 0.00055, 0.00053, 0.00060, 0.00056, 0.00053, 0.00052, 0.00053, 0.00056, 0.00060, 0.00053, 0.00055, 0.00099, 0.00274, 0.00551, 0.00716, 0.00777, 0.00721, 0.00551, 0.00293, 0.00099, 0.00056, 0.00050, 0.00044, 0.00043, 0.00044, 0.00050, 0.00057, 0.00169, 0.00902, 0.00903, 0.00903, 0.00903, 0.00902, 0.00169, 0.00040, 0.00035, 0.00034, 0.00035, 0.00040, 0.00079, + 0.00079, 0.00083, 0.00085, 0.00083, 0.00079, 0.00076, 0.00075, 0.00076, 0.00079, 0.00084, 0.00089, 0.00092, 0.00094, 0.00092, 0.00089, 0.00084, 0.00079, 0.00076, 0.00074, 0.00073, 0.00073, 0.00073, 0.00074, 0.00076, 0.00080, 0.00086, 0.00093, 0.00100, 0.00106, 0.00107, 0.00106, 0.00100, 0.00093, 0.00086, 0.00080, 0.00075, 0.00073, 0.00073, 0.00073, 0.00073, 0.00073, + 0.00073, 0.00073, 0.00075, 0.00082, 0.00091, 0.00102, 0.00114, 0.00125, 0.00132, 0.00134, 0.00132, 0.00125, 17.56048, 0.00102, 0.00091, 0.00082, 0.00076, 0.00074, 0.00074, 0.00075, 0.00077, 0.00078, 0.00077, 0.00075, 0.00074, 0.00074, 0.00076, 0.00089, 0.00107, 0.00131, 0.00157, 0.00196, 0.00269, 0.00293, 0.00269, 0.00196, 0.00157, 0.00131, 0.00107, 0.00089, 0.00078, + 0.00075, 0.00078, 0.00084, 0.00089, 0.00090, 0.00089, 0.00084, 0.00078, 0.00075, 0.00078, 0.00107, 0.00154, 0.00217, 0.00375, 0.00510, 0.00595, 0.00624, 0.00595, 0.00510, 0.00375, 0.00217, 0.00154, 0.00107, 0.00082, 0.00079, 0.00090, 0.00083, 0.00079, 0.00078, 0.00079, 0.00083, 0.00090, 0.00079, 0.00082, 0.00147, 0.00408, 0.00820, 0.01065, 0.01156, 0.01073, 0.00820, + 0.00435, 0.00147, 0.00084, 0.00074, 0.00066, 0.00064, 0.00066, 0.00074, 0.00085, 0.00252, 0.01342, 0.01343, 0.01343, 0.01343, 0.01342, 0.00252, 0.00059, 0.00052, 0.00051, 0.00052, 0.00059, 0.00113, 0.00113, 0.00119, 0.00121, 0.00119, 0.00113, 0.00109, 0.00107, 0.00109, 0.00113, 0.00119, 0.00126, 0.00132, 0.00134, 0.00132, 0.00126, 0.00120, 0.00113, 0.00108, 0.00105, + 0.00104, 0.00104, 0.00104, 0.00105, 0.00108, 0.00114, 0.00123, 0.00133, 0.00143, 0.00151, 0.00153, 0.00151, 0.00143, 0.00133, 0.00123, 0.00114, 0.00108, 0.00105, 0.00104, 0.00104, 0.00105, 0.00104, 0.00104, 0.00105, 0.00108, 0.00117, 0.00130, 0.00146, 0.00163, 0.00178, 0.00188, 0.00192, 0.00188, 0.00178, 0.00163, 15.85161, 0.00130, 0.00117, 0.00109, 0.00105, 0.00106, + 0.00108, 0.00110, 0.00111, 0.00110, 0.00108, 0.00106, 0.00105, 0.00109, 0.00127, 0.00153, 0.00187, 0.00224, 0.00279, 0.00383, 0.00419, 0.00383, 0.00279, 0.00224, 0.00187, 0.00153, 0.00127, 0.00112, 0.00108, 0.00111, 0.00119, 0.00126, 0.00129, 0.00126, 0.00119, 0.00111, 0.00108, 0.00112, 0.00152, 0.00219, 0.00310, 0.00535, 0.00728, 0.00850, 0.00891, 0.00850, 0.00728, + 0.00535, 0.00310, 0.00219, 0.00152, 0.00117, 0.00113, 0.00128, 0.00118, 0.00113, 0.00111, 0.00113, 0.00118, 0.00128, 0.00113, 0.00117, 0.00210, 0.00582, 0.01171, 0.01520, 0.01651, 0.01531, 0.01171, 0.00621, 0.00210, 0.00119, 0.00106, 0.00094, 0.00091, 0.00094, 0.00106, 0.00122, 0.00359, 0.01916, 0.01917, 0.01917, 0.01917, 0.01916, 0.00359, 0.00084, 0.00075, 0.00072, + 0.00075, 0.00084, 0.00152, 0.00152, 0.00160, 0.00164, 0.00160, 0.00152, 0.00146, 0.00144, 0.00146, 0.00152, 0.00161, 0.00170, 0.00177, 0.00180, 0.00178, 0.00170, 0.00161, 0.00152, 0.00146, 0.00142, 0.00141, 0.00140, 0.00141, 0.00142, 0.00146, 0.00153, 0.00165, 0.00180, 0.00193, 0.00203, 0.00207, 0.00203, 0.00193, 0.00180, 0.00165, 0.00153, 0.00145, 0.00141, 0.00140, + 0.00141, 0.00141, 0.00141, 0.00140, 0.00141, 0.00145, 0.00158, 0.00175, 0.00197, 0.00220, 0.00240, 0.00254, 0.00259, 0.00254, 0.00240, 0.00220, 0.00197, 13.86151, 0.00158, 0.00147, 0.00142, 0.00142, 0.00145, 0.00148, 0.00150, 0.00148, 0.00145, 0.00142, 0.00142, 0.00147, 0.00171, 0.00206, 0.00252, 0.00302, 0.00377, 0.00517, 0.00565, 0.00517, 0.00377, 0.00302, 0.00252, + 0.00206, 0.00171, 0.00151, 0.00145, 0.00150, 0.00161, 0.00171, 0.00174, 0.00171, 0.00161, 0.00150, 0.00145, 0.00151, 0.00206, 0.00296, 0.00418, 0.00722, 0.00982, 0.01146, 0.01202, 0.01146, 0.00982, 0.00722, 0.00418, 0.00296, 0.00206, 0.00158, 0.00153, 0.00172, 0.00160, 0.00152, 0.00149, 0.00152, 0.00160, 0.00172, 0.00153, 0.00158, 0.00283, 0.00785, 0.01579, 0.02051, + 0.02226, 0.02065, 0.01579, 0.00838, 0.00283, 0.00161, 0.00143, 0.00127, 0.00123, 0.00127, 0.00143, 0.00165, 0.00484, 0.02584, 0.02585, 0.02585, 0.02585, 0.02584, 0.00484, 0.00113, 0.00101, 0.00098, 0.00101, 0.00113, 0.00195, 0.00194, 0.00204, 0.00209, 0.00204, 0.00194, 0.00187, 0.00185, 0.00187, 0.00194, 0.00205, 0.00218, 0.00227, 0.00230, 0.00227, 0.00218, 0.00206, + 0.00194, 0.00186, 0.00182, 0.00180, 0.00179, 0.00180, 0.00182, 0.00186, 0.00196, 0.00211, 0.00230, 0.00247, 0.00260, 0.00264, 0.00260, 0.00247, 0.00230, 0.00211, 0.00196, 0.00185, 0.00180, 0.00179, 0.00180, 0.00180, 0.00180, 0.00179, 0.00180, 0.00185, 0.00202, 0.00224, 0.00251, 0.00281, 0.00307, 0.00324, 0.00331, 0.00324, 0.00307, 0.00281, 0.00251, 0.00224, 11.72583, + 0.00188, 0.00182, 0.00182, 0.00186, 0.00189, 0.00191, 0.00189, 0.00186, 0.00182, 0.00182, 0.00188, 0.00219, 0.00264, 0.00322, 0.00386, 0.00481, 0.00661, 0.00721, 0.00661, 0.00481, 0.00386, 0.00322, 0.00264, 0.00219, 0.00193, 0.00185, 0.00192, 0.00206, 0.00218, 0.00222, 0.00218, 0.00206, 0.00192, 0.00185, 0.00193, 0.00263, 0.00377, 0.00533, 0.00922, 0.01255, 0.01464, + 0.01535, 0.01464, 0.01255, 0.00922, 0.00533, 0.00377, 0.00263, 0.00202, 0.00195, 0.00220, 0.00204, 0.00194, 0.00191, 0.00194, 0.00204, 0.00220, 0.00195, 0.00202, 0.00362, 0.01003, 0.02017, 0.02619, 0.02844, 0.02638, 0.02017, 0.01070, 0.00362, 0.00206, 0.00183, 0.00162, 0.00157, 0.00162, 0.00183, 0.00210, 0.00619, 0.03300, 0.03302, 0.03303, 0.03302, 0.03300, 0.00619, + 0.00145, 0.00129, 0.00125, 0.00129, 0.00145, 0.00237, 0.00237, 0.00249, 0.00255, 0.00249, 0.00237, 0.00228, 0.00225, 0.00228, 0.00237, 0.00250, 0.00265, 0.00276, 0.00280, 0.00276, 0.00265, 0.00251, 0.00237, 0.00227, 0.00221, 0.00219, 0.00218, 0.00219, 0.00221, 0.00226, 0.00238, 0.00257, 0.00279, 0.00301, 0.00316, 0.00321, 0.00316, 0.00301, 0.00279, 0.00257, 0.00238, + 0.00226, 0.00219, 0.00218, 0.00219, 0.00220, 0.00219, 0.00218, 0.00219, 0.00226, 0.00245, 0.00272, 0.00306, 0.00342, 0.00373, 0.00395, 0.00403, 0.00395, 0.00373, 0.00342, 0.00306, 0.00272, 0.00245, 9.59015, 0.00221, 0.00221, 0.00226, 0.00231, 0.00233, 0.00231, 0.00226, 0.00221, 0.00221, 0.00228, 0.00266, 0.00321, 0.00392, 0.00470, 0.00586, 0.00804, 0.00878, 0.00804, + 0.00586, 0.00470, 0.00392, 0.00321, 0.00266, 0.00235, 0.00226, 0.00234, 0.00251, 0.00265, 0.00270, 0.00265, 0.00251, 0.00234, 0.00226, 0.00235, 0.00320, 0.00459, 0.00649, 0.01122, 0.01527, 0.01782, 0.01869, 0.01782, 0.01527, 0.01122, 0.00649, 0.00459, 0.00320, 0.00246, 0.00237, 0.00268, 0.00248, 0.00236, 0.00232, 0.00236, 0.00248, 0.00268, 0.00237, 0.00246, 0.00440, + 0.01221, 0.02456, 0.03188, 0.03461, 0.03211, 0.02456, 0.01303, 0.00440, 0.00250, 0.00223, 0.00198, 0.00191, 0.00197, 0.00223, 0.00256, 0.00753, 0.04017, 0.04019, 0.04020, 0.04019, 0.04017, 0.00753, 0.00176, 0.00157, 0.00152, 0.00157, 0.00176, 0.00276, 0.00276, 0.00290, 0.00297, 0.00290, 0.00276, 0.00265, 0.00262, 0.00265, 0.00276, 0.00292, 0.00309, 0.00322, 0.00327, + 0.00322, 0.00309, 0.00292, 0.00276, 0.00265, 0.00258, 0.00255, 0.00255, 0.00255, 0.00258, 0.00264, 0.00278, 0.00300, 0.00326, 0.00351, 0.00368, 0.00375, 0.00368, 0.00351, 0.00326, 0.00300, 0.00278, 0.00263, 0.00256, 0.00254, 0.00255, 0.00256, 0.00255, 0.00254, 0.00256, 0.00263, 0.00286, 0.00318, 0.00357, 0.00398, 0.00435, 0.00460, 0.00469, 0.00460, 0.00435, 0.00398, + 0.00357, 0.00318, 0.00286, 0.00266, 7.60005, 0.00258, 0.00263, 0.00269, 0.00271, 0.00269, 0.00263, 0.00258, 0.00258, 0.00266, 0.00311, 0.00374, 0.00458, 0.00548, 0.00683, 0.00938, 0.01024, 0.00938, 0.00683, 0.00548, 0.00458, 0.00374, 0.00311, 0.00274, 0.00263, 0.00273, 0.00292, 0.00309, 0.00315, 0.00309, 0.00292, 0.00273, 0.00263, 0.00274, 0.00373, 0.00536, 0.00757, + 0.01309, 0.01781, 0.02078, 0.02179, 0.02078, 0.01781, 0.01309, 0.00757, 0.00536, 0.00373, 0.00287, 0.00277, 0.00312, 0.00290, 0.00275, 0.00271, 0.00275, 0.00290, 0.00312, 0.00277, 0.00287, 0.00513, 0.01424, 0.02864, 0.03718, 0.04037, 0.03745, 0.02864, 0.01519, 0.00513, 0.00292, 0.00260, 0.00230, 0.00223, 0.00230, 0.00260, 0.00298, 0.00878, 0.04685, 0.04688, 0.04688, + 0.04688, 0.04685, 0.00878, 0.00206, 0.00183, 0.00177, 0.00183, 0.00206, 0.00310, 0.00310, 0.00326, 0.00333, 0.00326, 0.00310, 0.00298, 0.00294, 0.00298, 0.00310, 0.00327, 0.00347, 0.00361, 0.00367, 0.00362, 0.00347, 0.00328, 0.00310, 0.00297, 0.00289, 0.00286, 0.00286, 0.00286, 0.00289, 0.00296, 0.00312, 0.00337, 0.00366, 0.00394, 0.00414, 0.00421, 0.00414, 0.00394, + 0.00366, 0.00337, 0.00312, 0.00295, 0.00287, 0.00286, 0.00287, 0.00287, 0.00287, 0.00286, 0.00287, 0.00295, 0.00321, 0.00356, 0.00401, 0.00447, 0.00488, 0.00517, 0.00527, 0.00517, 0.00488, 0.00447, 0.00401, 0.00356, 0.00321, 0.00299, 0.00289, 5.89119, 0.00296, 0.00302, 0.00304, 0.00302, 0.00296, 0.00290, 0.00289, 0.00299, 0.00349, 0.00420, 0.00514, 0.00615, 0.00767, + 0.01053, 0.01149, 0.01053, 0.00767, 0.00615, 0.00514, 0.00420, 0.00349, 0.00307, 0.00295, 0.00306, 0.00328, 0.00347, 0.00354, 0.00347, 0.00328, 0.00306, 0.00295, 0.00307, 0.00419, 0.00601, 0.00850, 0.01469, 0.01999, 0.02333, 0.02446, 0.02333, 0.01999, 0.01469, 0.00850, 0.00601, 0.00419, 0.00322, 0.00311, 0.00351, 0.00325, 0.00309, 0.00304, 0.00309, 0.00325, 0.00351, + 0.00311, 0.00322, 0.00576, 0.01598, 0.03214, 0.04174, 0.04531, 0.04204, 0.03214, 0.01705, 0.00576, 0.00328, 0.00292, 0.00259, 0.00250, 0.00258, 0.00292, 0.00335, 0.00986, 0.05259, 0.05262, 0.05262, 0.05262, 0.05259, 0.00986, 0.00231, 0.00205, 0.00199, 0.00205, 0.00231, 0.00336, 0.00336, 0.00353, 0.00361, 0.00353, 0.00336, 0.00323, 0.00319, 0.00323, 0.00336, 0.00355, + 0.00376, 0.00391, 0.00398, 0.00392, 0.00376, 0.00356, 0.00336, 0.00322, 0.00314, 0.00310, 0.00310, 0.00310, 0.00314, 0.00321, 0.00338, 0.00365, 0.00396, 0.00426, 0.00448, 0.00456, 0.00448, 0.00426, 0.00396, 0.00365, 0.00338, 0.00320, 0.00311, 0.00309, 0.00311, 0.00311, 0.00311, 0.00309, 0.00311, 0.00320, 0.00348, 0.00386, 0.00434, 0.00485, 0.00529, 0.00560, 0.00571, + 0.00560, 0.00529, 0.00485, 0.00434, 0.00386, 0.00348, 0.00324, 0.00313, 0.00314, 4.57999, 0.00327, 0.00330, 0.00327, 0.00320, 0.00314, 0.00313, 0.00324, 0.00378, 0.00455, 0.00557, 0.00666, 0.00831, 0.01141, 0.01245, 0.01141, 0.00831, 0.00666, 0.00557, 0.00455, 0.00378, 0.00333, 0.00320, 0.00332, 0.00355, 0.00376, 0.00383, 0.00376, 0.00355, 0.00332, 0.00320, 0.00333, + 0.00454, 0.00652, 0.00921, 0.01592, 0.02167, 0.02528, 0.02651, 0.02528, 0.02167, 0.01592, 0.00921, 0.00652, 0.00454, 0.00349, 0.00337, 0.00380, 0.00352, 0.00335, 0.00329, 0.00335, 0.00352, 0.00380, 0.00337, 0.00349, 0.00625, 0.01731, 0.03483, 0.04523, 0.04910, 0.04555, 0.03483, 0.01848, 0.00625, 0.00355, 0.00316, 0.00280, 0.00271, 0.00279, 0.00316, 0.00363, 0.01068, + 0.05699, 0.05702, 0.05703, 0.05702, 0.05699, 0.01068, 0.00250, 0.00222, 0.00215, 0.00222, 0.00250, 0.00352, 0.00352, 0.00370, 0.00379, 0.00370, 0.00352, 0.00338, 0.00334, 0.00338, 0.00352, 0.00372, 0.00394, 0.00410, 0.00417, 0.00411, 0.00394, 0.00373, 0.00352, 0.00337, 0.00329, 0.00325, 0.00325, 0.00325, 0.00329, 0.00337, 0.00355, 0.00383, 0.00416, 0.00447, 0.00470, + 0.00478, 0.00470, 0.00447, 0.00416, 0.00383, 0.00355, 0.00336, 0.00326, 0.00325, 0.00326, 0.00327, 0.00326, 0.00325, 0.00326, 0.00336, 0.00365, 0.00405, 0.00455, 0.00508, 0.00555, 0.00587, 0.00599, 0.00587, 0.00555, 0.00508, 0.00455, 0.00405, 0.00365, 0.00340, 0.00329, 0.00329, 0.00336, 3.75577, 0.00346, 0.00343, 0.00336, 0.00329, 0.00329, 0.00340, 0.00396, 0.00477, + 0.00584, 0.00698, 0.00871, 0.01196, 0.01306, 0.01196, 0.00871, 0.00698, 0.00584, 0.00477, 0.00396, 0.00349, 0.00336, 0.00348, 0.00373, 0.00395, 0.00402, 0.00395, 0.00373, 0.00348, 0.00336, 0.00349, 0.00476, 0.00683, 0.00966, 0.01670, 0.02272, 0.02650, 0.02780, 0.02650, 0.02272, 0.01670, 0.00966, 0.00683, 0.00476, 0.00366, 0.00353, 0.00399, 0.00370, 0.00351, 0.00345, + 0.00351, 0.00370, 0.00399, 0.00353, 0.00366, 0.00655, 0.01816, 0.03653, 0.04742, 0.05149, 0.04777, 0.03653, 0.01938, 0.00655, 0.00372, 0.00331, 0.00294, 0.00284, 0.00293, 0.00331, 0.00380, 0.01120, 0.05975, 0.05979, 0.05979, 0.05979, 0.05975, 0.01120, 0.00262, 0.00233, 0.00226, 0.00233, 0.00262, 0.00358, 0.00358, 0.00376, 0.00385, 0.00376, 0.00358, 0.00344, 0.00339, + 0.00344, 0.00358, 0.00378, 0.00400, 0.00417, 0.00424, 0.00417, 0.00400, 0.00379, 0.00358, 0.00343, 0.00334, 0.00331, 0.00330, 0.00331, 0.00334, 0.00342, 0.00360, 0.00389, 0.00422, 0.00454, 0.00477, 0.00486, 0.00477, 0.00454, 0.00422, 0.00389, 0.00360, 0.00341, 0.00332, 0.00330, 0.00331, 0.00332, 0.00331, 0.00330, 0.00332, 0.00341, 0.00371, 0.00411, 0.00462, 0.00516, + 0.00564, 0.00597, 0.00608, 0.00597, 0.00564, 0.00516, 0.00462, 0.00411, 0.00371, 0.00345, 0.00334, 0.00335, 0.00341, 0.00348, 3.47465, 0.00348, 0.00341, 0.00335, 0.00334, 0.00345, 0.00403, 0.00485, 0.00593, 0.00709, 0.00885, 0.01215, 0.01326, 0.01215, 0.00885, 0.00709, 0.00593, 0.00485, 0.00403, 0.00355, 0.00341, 0.00353, 0.00379, 0.00401, 0.00408, 0.00401, 0.00379, + 0.00353, 0.00341, 0.00355, 0.00483, 0.00694, 0.00981, 0.01696, 0.02308, 0.02692, 0.02823, 0.02692, 0.02308, 0.01696, 0.00981, 0.00694, 0.00483, 0.00372, 0.00358, 0.00405, 0.00375, 0.00357, 0.00351, 0.00357, 0.00375, 0.00405, 0.00358, 0.00372, 0.00665, 0.01844, 0.03710, 0.04817, 0.05230, 0.04852, 0.03710, 0.01968, 0.00665, 0.00378, 0.00337, 0.00299, 0.00289, 0.00297, + 0.00337, 0.00386, 0.01138, 0.06070, 0.06073, 0.06074, 0.06073, 0.06070, 0.01138, 0.00266, 0.00237, 0.00229, 0.00237, 0.00266, 0.00352, 0.00352, 0.00370, 0.00379, 0.00370, 0.00352, 0.00338, 0.00334, 0.00338, 0.00352, 0.00372, 0.00394, 0.00410, 0.00417, 0.00411, 0.00394, 0.00373, 0.00352, 0.00337, 0.00329, 0.00325, 0.00325, 0.00325, 0.00329, 0.00337, 0.00355, 0.00383, + 0.00416, 0.00447, 0.00470, 0.00478, 0.00470, 0.00447, 0.00416, 0.00383, 0.00355, 0.00336, 0.00326, 0.00325, 0.00326, 0.00327, 0.00326, 0.00325, 0.00326, 0.00336, 0.00365, 0.00405, 0.00455, 0.00508, 0.00555, 0.00587, 0.00599, 0.00587, 0.00555, 0.00508, 0.00455, 0.00405, 0.00365, 0.00340, 0.00329, 0.00329, 0.00336, 0.00343, 0.00346, 3.75577, 0.00336, 0.00329, 0.00329, + 0.00340, 0.00396, 0.00477, 0.00584, 0.00698, 0.00871, 0.01196, 0.01306, 0.01196, 0.00871, 0.00698, 0.00584, 0.00477, 0.00396, 0.00349, 0.00336, 0.00348, 0.00373, 0.00395, 0.00402, 0.00395, 0.00373, 0.00348, 0.00336, 0.00349, 0.00476, 0.00683, 0.00966, 0.01670, 0.02272, 0.02650, 0.02780, 0.02650, 0.02272, 0.01670, 0.00966, 0.00683, 0.00476, 0.00366, 0.00353, 0.00399, + 0.00370, 0.00351, 0.00345, 0.00351, 0.00370, 0.00399, 0.00353, 0.00366, 0.00655, 0.01816, 0.03653, 0.04742, 0.05149, 0.04777, 0.03653, 0.01938, 0.00655, 0.00372, 0.00331, 0.00294, 0.00284, 0.00293, 0.00331, 0.00380, 0.01120, 0.05975, 0.05979, 0.05979, 0.05979, 0.05975, 0.01120, 0.00262, 0.00233, 0.00226, 0.00233, 0.00262, 0.00336, 0.00336, 0.00353, 0.00361, 0.00353, + 0.00336, 0.00323, 0.00319, 0.00323, 0.00336, 0.00355, 0.00376, 0.00391, 0.00398, 0.00392, 0.00376, 0.00356, 0.00336, 0.00322, 0.00314, 0.00310, 0.00310, 0.00310, 0.00314, 0.00321, 0.00338, 0.00365, 0.00396, 0.00426, 0.00448, 0.00456, 0.00448, 0.00426, 0.00396, 0.00365, 0.00338, 0.00320, 0.00311, 0.00309, 0.00311, 0.00311, 0.00311, 0.00309, 0.00311, 0.00320, 0.00348, + 0.00386, 0.00434, 0.00485, 0.00529, 0.00560, 0.00571, 0.00560, 0.00529, 0.00485, 0.00434, 0.00386, 0.00348, 0.00324, 0.00313, 0.00314, 0.00320, 0.00327, 0.00330, 0.00327, 4.57999, 0.00314, 0.00313, 0.00324, 0.00378, 0.00455, 0.00557, 0.00666, 0.00831, 0.01141, 0.01245, 0.01141, 0.00831, 0.00666, 0.00557, 0.00455, 0.00378, 0.00333, 0.00320, 0.00332, 0.00355, 0.00376, + 0.00383, 0.00376, 0.00355, 0.00332, 0.00320, 0.00333, 0.00454, 0.00652, 0.00921, 0.01592, 0.02167, 0.02528, 0.02651, 0.02528, 0.02167, 0.01592, 0.00921, 0.00652, 0.00454, 0.00349, 0.00337, 0.00380, 0.00352, 0.00335, 0.00329, 0.00335, 0.00352, 0.00380, 0.00337, 0.00349, 0.00625, 0.01731, 0.03483, 0.04523, 0.04910, 0.04555, 0.03483, 0.01848, 0.00625, 0.00355, 0.00316, + 0.00280, 0.00271, 0.00279, 0.00316, 0.00363, 0.01068, 0.05699, 0.05702, 0.05703, 0.05702, 0.05699, 0.01068, 0.00250, 0.00222, 0.00215, 0.00222, 0.00250, 0.00310, 0.00310, 0.00326, 0.00333, 0.00326, 0.00310, 0.00298, 0.00294, 0.00298, 0.00310, 0.00327, 0.00347, 0.00361, 0.00367, 0.00362, 0.00347, 0.00328, 0.00310, 0.00297, 0.00289, 0.00286, 0.00286, 0.00286, 0.00289, + 0.00296, 0.00312, 0.00337, 0.00366, 0.00394, 0.00414, 0.00421, 0.00414, 0.00394, 0.00366, 0.00337, 0.00312, 0.00295, 0.00287, 0.00286, 0.00287, 0.00287, 0.00287, 0.00286, 0.00287, 0.00295, 0.00321, 0.00356, 0.00401, 0.00447, 0.00488, 0.00517, 0.00527, 0.00517, 0.00488, 0.00447, 0.00401, 0.00356, 0.00321, 0.00299, 0.00289, 0.00290, 0.00296, 0.00302, 0.00304, 0.00302, + 0.00296, 5.89119, 0.00289, 0.00299, 0.00349, 0.00420, 0.00514, 0.00615, 0.00767, 0.01053, 0.01149, 0.01053, 0.00767, 0.00615, 0.00514, 0.00420, 0.00349, 0.00307, 0.00295, 0.00306, 0.00328, 0.00347, 0.00354, 0.00347, 0.00328, 0.00306, 0.00295, 0.00307, 0.00419, 0.00601, 0.00850, 0.01469, 0.01999, 0.02333, 0.02446, 0.02333, 0.01999, 0.01469, 0.00850, 0.00601, 0.00419, + 0.00322, 0.00311, 0.00351, 0.00325, 0.00309, 0.00304, 0.00309, 0.00325, 0.00351, 0.00311, 0.00322, 0.00576, 0.01598, 0.03214, 0.04174, 0.04531, 0.04204, 0.03214, 0.01705, 0.00576, 0.00328, 0.00292, 0.00259, 0.00250, 0.00258, 0.00292, 0.00335, 0.00986, 0.05259, 0.05262, 0.05262, 0.05262, 0.05259, 0.00986, 0.00231, 0.00205, 0.00199, 0.00205, 0.00231, 0.00276, 0.00276, + 0.00290, 0.00297, 0.00290, 0.00276, 0.00265, 0.00262, 0.00265, 0.00276, 0.00292, 0.00309, 0.00322, 0.00327, 0.00322, 0.00309, 0.00292, 0.00276, 0.00265, 0.00258, 0.00255, 0.00255, 0.00255, 0.00258, 0.00264, 0.00278, 0.00300, 0.00326, 0.00351, 0.00368, 0.00375, 0.00368, 0.00351, 0.00326, 0.00300, 0.00278, 0.00263, 0.00256, 0.00254, 0.00255, 0.00256, 0.00255, 0.00254, + 0.00256, 0.00263, 0.00286, 0.00318, 0.00357, 0.00398, 0.00435, 0.00460, 0.00469, 0.00460, 0.00435, 0.00398, 0.00357, 0.00318, 0.00286, 0.00266, 0.00258, 0.00258, 0.00263, 0.00269, 0.00271, 0.00269, 0.00263, 0.00258, 7.60005, 0.00266, 0.00311, 0.00374, 0.00458, 0.00548, 0.00683, 0.00938, 0.01024, 0.00938, 0.00683, 0.00548, 0.00458, 0.00374, 0.00311, 0.00274, 0.00263, + 0.00273, 0.00292, 0.00309, 0.00315, 0.00309, 0.00292, 0.00273, 0.00263, 0.00274, 0.00373, 0.00536, 0.00757, 0.01309, 0.01781, 0.02078, 0.02179, 0.02078, 0.01781, 0.01309, 0.00757, 0.00536, 0.00373, 0.00287, 0.00277, 0.00312, 0.00290, 0.00275, 0.00271, 0.00275, 0.00290, 0.00312, 0.00277, 0.00287, 0.00513, 0.01424, 0.02864, 0.03718, 0.04037, 0.03745, 0.02864, 0.01519, + 0.00513, 0.00292, 0.00260, 0.00230, 0.00223, 0.00230, 0.00260, 0.00298, 0.00878, 0.04685, 0.04688, 0.04688, 0.04688, 0.04685, 0.00878, 0.00206, 0.00183, 0.00177, 0.00183, 0.00206, 0.00237, 0.00237, 0.00249, 0.00255, 0.00249, 0.00237, 0.00228, 0.00225, 0.00228, 0.00237, 0.00250, 0.00265, 0.00276, 0.00280, 0.00276, 0.00265, 0.00251, 0.00237, 0.00227, 0.00221, 0.00219, + 0.00218, 0.00219, 0.00221, 0.00226, 0.00238, 0.00257, 0.00279, 0.00301, 0.00316, 0.00321, 0.00316, 0.00301, 0.00279, 0.00257, 0.00238, 0.00226, 0.00219, 0.00218, 0.00219, 0.00220, 0.00219, 0.00218, 0.00219, 0.00226, 0.00245, 0.00272, 0.00306, 0.00342, 0.00373, 0.00395, 0.00403, 0.00395, 0.00373, 0.00342, 0.00306, 0.00272, 0.00245, 0.00228, 0.00221, 0.00221, 0.00226, + 0.00231, 0.00233, 0.00231, 0.00226, 0.00221, 0.00221, 9.59015, 0.00266, 0.00321, 0.00392, 0.00470, 0.00586, 0.00804, 0.00878, 0.00804, 0.00586, 0.00470, 0.00392, 0.00321, 0.00266, 0.00235, 0.00226, 0.00234, 0.00251, 0.00265, 0.00270, 0.00265, 0.00251, 0.00234, 0.00226, 0.00235, 0.00320, 0.00459, 0.00649, 0.01122, 0.01527, 0.01782, 0.01869, 0.01782, 0.01527, 0.01122, + 0.00649, 0.00459, 0.00320, 0.00246, 0.00237, 0.00268, 0.00248, 0.00236, 0.00232, 0.00236, 0.00248, 0.00268, 0.00237, 0.00246, 0.00440, 0.01221, 0.02456, 0.03188, 0.03461, 0.03211, 0.02456, 0.01303, 0.00440, 0.00250, 0.00223, 0.00198, 0.00191, 0.00197, 0.00223, 0.00256, 0.00753, 0.04017, 0.04019, 0.04020, 0.04019, 0.04017, 0.00753, 0.00176, 0.00157, 0.00152, 0.00157, + 0.00176, 0.00184, 0.00184, 0.00193, 0.00198, 0.00193, 0.00184, 0.00176, 0.00174, 0.00176, 0.00184, 0.00194, 0.00206, 0.00214, 0.00218, 0.00214, 0.00206, 0.00194, 0.00184, 0.00176, 0.00171, 0.00169, 0.00169, 0.00169, 0.00171, 0.00176, 0.00185, 0.00200, 0.00217, 0.00233, 0.00245, 0.00250, 0.00245, 0.00233, 0.00217, 0.00200, 0.00185, 0.00175, 0.00170, 0.00169, 0.00170, + 0.00170, 0.00170, 0.00169, 0.00170, 0.00175, 0.00190, 0.00211, 0.00238, 0.00265, 0.00290, 0.00307, 0.00313, 0.00307, 0.00290, 0.00265, 0.00238, 0.00211, 0.00190, 0.00177, 0.00171, 0.00171, 0.00175, 0.00178, 0.00180, 0.00178, 0.00175, 0.00171, 0.00171, 0.00177, 11.03516, 0.00249, 0.00305, 0.00365, 0.00455, 0.00624, 0.00681, 0.00624, 0.00455, 0.00365, 0.00305, 0.00249, + 0.00207, 0.00182, 0.00175, 0.00181, 0.00194, 0.00205, 0.00209, 0.00205, 0.00194, 0.00181, 0.00175, 0.00182, 0.00248, 0.00357, 0.00504, 0.00871, 0.01183, 0.01380, 0.01447, 0.01380, 0.01183, 0.00871, 0.00504, 0.00357, 0.00248, 0.00191, 0.00184, 0.00207, 0.00192, 0.00183, 0.00179, 0.00183, 0.00192, 0.00207, 0.00184, 0.00191, 0.00342, 0.00948, 0.01901, 0.02466, 0.02677, + 0.02484, 0.01901, 0.01011, 0.00342, 0.00194, 0.00172, 0.00153, 0.00148, 0.00152, 0.00172, 0.00198, 0.00583, 0.03106, 0.03108, 0.03108, 0.03108, 0.03106, 0.00583, 0.00136, 0.00121, 0.00117, 0.00121, 0.00136, 0.00127, 0.00127, 0.00133, 0.00137, 0.00133, 0.00127, 0.00122, 0.00120, 0.00122, 0.00127, 0.00134, 0.00142, 0.00148, 0.00150, 0.00148, 0.00142, 0.00134, 0.00127, + 0.00122, 0.00118, 0.00117, 0.00117, 0.00117, 0.00118, 0.00121, 0.00128, 0.00138, 0.00150, 0.00161, 0.00170, 0.00173, 0.00170, 0.00161, 0.00150, 0.00138, 0.00128, 0.00121, 0.00118, 0.00117, 0.00117, 0.00118, 0.00117, 0.00117, 0.00118, 0.00121, 0.00132, 0.00146, 0.00164, 0.00183, 0.00200, 0.00212, 0.00216, 0.00212, 0.00200, 0.00183, 0.00164, 0.00146, 0.00132, 0.00122, + 0.00118, 0.00119, 0.00121, 0.00123, 0.00124, 0.00123, 0.00121, 0.00119, 0.00118, 0.00122, 0.00143, 13.88973, 0.00211, 0.00252, 0.00315, 0.00431, 0.00471, 0.00431, 0.00315, 0.00252, 0.00211, 0.00172, 0.00143, 0.00126, 0.00121, 0.00125, 0.00134, 0.00142, 0.00145, 0.00142, 0.00134, 0.00125, 0.00121, 0.00126, 0.00171, 0.00247, 0.00349, 0.00602, 0.00818, 0.00954, 0.01001, + 0.00954, 0.00818, 0.00602, 0.00349, 0.00247, 0.00171, 0.00132, 0.00127, 0.00143, 0.00133, 0.00126, 0.00124, 0.00126, 0.00133, 0.00143, 0.00127, 0.00132, 0.00236, 0.00655, 0.01315, 0.01706, 0.01851, 0.01718, 0.01315, 0.00699, 0.00236, 0.00134, 0.00119, 0.00106, 0.00102, 0.00105, 0.00119, 0.00137, 0.00403, 0.02148, 0.02149, 0.02149, 0.02149, 0.02148, 0.00403, 0.00094, + 0.00084, 0.00081, 0.00084, 0.00094, 0.00074, 0.00074, 0.00078, 0.00080, 0.00078, 0.00074, 0.00071, 0.00070, 0.00071, 0.00074, 0.00078, 0.00083, 0.00087, 0.00088, 0.00087, 0.00083, 0.00079, 0.00074, 0.00071, 0.00069, 0.00068, 0.00068, 0.00068, 0.00069, 0.00071, 0.00075, 0.00081, 0.00088, 0.00094, 0.00099, 0.00101, 0.00099, 0.00094, 0.00088, 0.00081, 0.00075, 0.00071, + 0.00069, 0.00068, 0.00068, 0.00069, 0.00068, 0.00068, 0.00069, 0.00071, 0.00077, 0.00085, 0.00096, 0.00107, 0.00117, 0.00124, 0.00126, 0.00124, 0.00117, 0.00107, 0.00096, 0.00085, 0.00077, 0.00071, 0.00069, 0.00069, 0.00071, 0.00072, 0.00073, 0.00072, 0.00071, 0.00069, 0.00069, 0.00071, 0.00083, 0.00101, 16.54959, 0.00147, 0.00184, 0.00252, 0.00275, 0.00252, 0.00184, + 0.00147, 0.00123, 0.00101, 0.00083, 0.00073, 0.00071, 0.00073, 0.00078, 0.00083, 0.00084, 0.00083, 0.00078, 0.00073, 0.00071, 0.00073, 0.00100, 0.00144, 0.00204, 0.00352, 0.00478, 0.00558, 0.00585, 0.00558, 0.00478, 0.00352, 0.00204, 0.00144, 0.00100, 0.00077, 0.00074, 0.00084, 0.00078, 0.00074, 0.00073, 0.00074, 0.00078, 0.00084, 0.00074, 0.00077, 0.00138, 0.00383, + 0.00768, 0.00997, 0.01082, 0.01004, 0.00768, 0.00409, 0.00138, 0.00078, 0.00070, 0.00062, 0.00060, 0.00062, 0.00070, 0.00080, 0.00236, 0.01255, 0.01256, 0.01256, 0.01256, 0.01255, 0.00236, 0.00055, 0.00049, 0.00047, 0.00049, 0.00055, 0.00029, 0.00029, 0.00030, 0.00031, 0.00030, 0.00029, 0.00028, 0.00027, 0.00028, 0.00029, 0.00031, 0.00032, 0.00034, 0.00034, 0.00034, + 0.00032, 0.00031, 0.00029, 0.00028, 0.00027, 0.00027, 0.00027, 0.00027, 0.00027, 0.00028, 0.00029, 0.00031, 0.00034, 0.00037, 0.00039, 0.00039, 0.00039, 0.00037, 0.00034, 0.00031, 0.00029, 0.00028, 0.00027, 0.00027, 0.00027, 0.00027, 0.00027, 0.00027, 0.00027, 0.00028, 0.00030, 0.00033, 0.00037, 0.00042, 0.00046, 0.00048, 0.00049, 0.00048, 0.00046, 0.00042, 0.00037, + 0.00033, 0.00030, 0.00028, 0.00027, 0.00027, 0.00027, 0.00028, 0.00028, 0.00028, 0.00027, 0.00027, 0.00027, 0.00028, 0.00032, 0.00039, 0.00048, 18.83344, 0.00072, 0.00098, 0.00107, 0.00098, 0.00072, 0.00057, 0.00048, 0.00039, 0.00032, 0.00029, 0.00027, 0.00028, 0.00030, 0.00032, 0.00033, 0.00032, 0.00030, 0.00028, 0.00027, 0.00029, 0.00039, 0.00056, 0.00079, 0.00137, + 0.00186, 0.00217, 0.00228, 0.00217, 0.00186, 0.00137, 0.00079, 0.00056, 0.00039, 0.00030, 0.00029, 0.00033, 0.00030, 0.00029, 0.00028, 0.00029, 0.00030, 0.00033, 0.00029, 0.00030, 0.00054, 0.00149, 0.00299, 0.00388, 0.00421, 0.00391, 0.00299, 0.00159, 0.00054, 0.00030, 0.00027, 0.00024, 0.00023, 0.00024, 0.00027, 0.00031, 0.00092, 0.00489, 0.00489, 0.00489, 0.00489, + 0.00489, 0.00092, 0.00021, 0.00019, 0.00018, 0.00019, 0.00021, 0.00045, 0.00045, 0.00040, 0.00037, 0.00040, 0.00045, 0.00051, 0.00053, 0.00051, 0.00045, 0.00039, 0.00034, 0.00030, 0.00029, 0.00030, 0.00034, 0.00039, 0.00045, 0.00051, 0.00057, 0.00060, 0.00062, 0.00060, 0.00057, 0.00052, 0.00045, 0.00037, 0.00030, 0.00024, 0.00021, 0.00020, 0.00021, 0.00024, 0.00030, + 0.00037, 0.00045, 0.00053, 0.00061, 0.00066, 0.00070, 0.00071, 0.00070, 0.00066, 0.00061, 0.00053, 0.00045, 0.00036, 0.00027, 0.00019, 0.00013, 0.00009, 0.00008, 0.00009, 0.00013, 0.00019, 0.00027, 0.00036, 0.00045, 0.00055, 0.00064, 0.00072, 0.00078, 0.00082, 0.00083, 0.00082, 0.00078, 0.00072, 0.00064, 0.00055, 0.00045, 0.00032, 0.00019, 0.00008, 19.99182, 0.00001, + 0.00001, 0.00001, 0.00001, 0.00008, 0.00019, 0.00032, 0.00045, 0.00059, 0.00072, 0.00083, 0.00092, 0.00097, 0.00099, 0.00097, 0.00092, 0.00083, 0.00072, 0.00059, 0.00045, 0.00026, 0.00007, 0.00002, 0.00003, 0.00003, 0.00003, 0.00003, 0.00003, 0.00002, 0.00007, 0.00026, 0.00045, 0.00065, 0.00084, 0.00099, 0.00099, 0.00099, 0.00099, 0.00099, 0.00099, 0.00099, 0.00084, + 0.00065, 0.00046, 0.00002, 0.00004, 0.00005, 0.00006, 0.00005, 0.00004, 0.00002, 0.00046, 0.00092, 0.00099, 0.00099, 0.00099, 0.00099, 0.00099, 0.00094, 0.00046, 0.00007, 0.00008, 0.00008, 0.00008, 0.00007, 0.00046, 0.00099, 0.00099, 0.00099, 0.00099, 0.00099, 0.00213, 0.00213, 0.00187, 0.00176, 0.00187, 0.00213, 0.00240, 0.00251, 0.00240, 0.00213, 0.00185, 0.00159, + 0.00143, 0.00137, 0.00142, 0.00159, 0.00183, 0.00213, 0.00242, 0.00268, 0.00284, 0.00290, 0.00285, 0.00268, 0.00243, 0.00213, 0.00176, 0.00142, 0.00115, 0.00098, 0.00092, 0.00098, 0.00115, 0.00142, 0.00176, 0.00213, 0.00251, 0.00285, 0.00312, 0.00329, 0.00335, 0.00329, 0.00312, 0.00285, 0.00251, 0.00213, 0.00168, 0.00125, 0.00089, 0.00061, 0.00043, 0.00037, 0.00043, + 0.00061, 0.00089, 0.00125, 0.00168, 0.00213, 0.00259, 0.00302, 0.00339, 0.00367, 0.00385, 0.00391, 0.00385, 0.00367, 0.00339, 0.00302, 0.00259, 0.00214, 0.00149, 0.00089, 0.00037, 0.00005, 18.88992, 0.00007, 0.00006, 0.00005, 0.00037, 0.00089, 0.00149, 0.00214, 0.00279, 0.00339, 0.00392, 0.00432, 0.00457, 0.00466, 0.00457, 0.00432, 0.00392, 0.00339, 0.00279, 0.00214, + 0.00120, 0.00034, 0.00009, 0.00012, 0.00014, 0.00014, 0.00014, 0.00012, 0.00009, 0.00034, 0.00120, 0.00214, 0.00308, 0.00396, 0.00466, 0.00466, 0.00465, 0.00465, 0.00465, 0.00466, 0.00466, 0.00396, 0.00308, 0.00215, 0.00010, 0.00019, 0.00025, 0.00027, 0.00025, 0.00019, 0.00010, 0.00215, 0.00431, 0.00465, 0.00465, 0.00465, 0.00465, 0.00465, 0.00441, 0.00217, 0.00032, + 0.00036, 0.00037, 0.00036, 0.00032, 0.00217, 0.00465, 0.00465, 0.00465, 0.00465, 0.00465, 0.00271, 0.00271, 0.00237, 0.00224, 0.00237, 0.00271, 0.00304, 0.00318, 0.00304, 0.00271, 0.00234, 0.00202, 0.00181, 0.00173, 0.00181, 0.00202, 0.00233, 0.00271, 0.00307, 0.00340, 0.00360, 0.00368, 0.00361, 0.00340, 0.00309, 0.00271, 0.00223, 0.00180, 0.00146, 0.00124, 0.00117, + 0.00124, 0.00146, 0.00180, 0.00223, 0.00271, 0.00318, 0.00362, 0.00396, 0.00418, 0.00425, 0.00418, 0.00396, 0.00362, 0.00318, 0.00271, 0.00213, 0.00159, 0.00113, 0.00077, 0.00055, 0.00047, 0.00055, 0.00077, 0.00113, 0.00159, 0.00213, 0.00271, 0.00329, 0.00383, 0.00430, 0.00466, 0.00488, 0.00496, 0.00488, 0.00466, 0.00430, 0.00383, 0.00329, 0.00271, 0.00189, 0.00112, + 0.00047, 0.00006, 0.00008, 18.51408, 0.00008, 0.00006, 0.00047, 0.00112, 0.00189, 0.00271, 0.00353, 0.00430, 0.00497, 0.00548, 0.00580, 0.00591, 0.00580, 0.00548, 0.00497, 0.00430, 0.00353, 0.00272, 0.00153, 0.00043, 0.00011, 0.00015, 0.00018, 0.00018, 0.00018, 0.00015, 0.00011, 0.00043, 0.00153, 0.00272, 0.00391, 0.00503, 0.00591, 0.00591, 0.00590, 0.00590, 0.00590, + 0.00591, 0.00591, 0.00503, 0.00391, 0.00273, 0.00012, 0.00024, 0.00032, 0.00034, 0.00032, 0.00024, 0.00013, 0.00273, 0.00547, 0.00590, 0.00590, 0.00590, 0.00590, 0.00590, 0.00559, 0.00276, 0.00041, 0.00046, 0.00047, 0.00046, 0.00041, 0.00276, 0.00590, 0.00590, 0.00590, 0.00590, 0.00590, 0.00213, 0.00213, 0.00187, 0.00176, 0.00187, 0.00213, 0.00240, 0.00251, 0.00240, + 0.00213, 0.00185, 0.00159, 0.00143, 0.00137, 0.00142, 0.00159, 0.00183, 0.00213, 0.00242, 0.00268, 0.00284, 0.00290, 0.00285, 0.00268, 0.00243, 0.00213, 0.00176, 0.00142, 0.00115, 0.00098, 0.00092, 0.00098, 0.00115, 0.00142, 0.00176, 0.00213, 0.00251, 0.00285, 0.00312, 0.00329, 0.00335, 0.00329, 0.00312, 0.00285, 0.00251, 0.00213, 0.00168, 0.00125, 0.00089, 0.00061, + 0.00043, 0.00037, 0.00043, 0.00061, 0.00089, 0.00125, 0.00168, 0.00213, 0.00259, 0.00302, 0.00339, 0.00367, 0.00385, 0.00391, 0.00385, 0.00367, 0.00339, 0.00302, 0.00259, 0.00214, 0.00149, 0.00089, 0.00037, 0.00005, 0.00006, 0.00007, 18.88992, 0.00005, 0.00037, 0.00089, 0.00149, 0.00214, 0.00279, 0.00339, 0.00392, 0.00432, 0.00457, 0.00466, 0.00457, 0.00432, 0.00392, + 0.00339, 0.00279, 0.00214, 0.00120, 0.00034, 0.00009, 0.00012, 0.00014, 0.00014, 0.00014, 0.00012, 0.00009, 0.00034, 0.00120, 0.00214, 0.00308, 0.00396, 0.00466, 0.00466, 0.00465, 0.00465, 0.00465, 0.00466, 0.00466, 0.00396, 0.00308, 0.00215, 0.00010, 0.00019, 0.00025, 0.00027, 0.00025, 0.00019, 0.00010, 0.00215, 0.00431, 0.00465, 0.00465, 0.00465, 0.00465, 0.00465, + 0.00441, 0.00217, 0.00032, 0.00036, 0.00037, 0.00036, 0.00032, 0.00217, 0.00465, 0.00465, 0.00465, 0.00465, 0.00465, 0.00045, 0.00045, 0.00040, 0.00037, 0.00040, 0.00045, 0.00051, 0.00053, 0.00051, 0.00045, 0.00039, 0.00034, 0.00030, 0.00029, 0.00030, 0.00034, 0.00039, 0.00045, 0.00051, 0.00057, 0.00060, 0.00062, 0.00060, 0.00057, 0.00052, 0.00045, 0.00037, 0.00030, + 0.00024, 0.00021, 0.00020, 0.00021, 0.00024, 0.00030, 0.00037, 0.00045, 0.00053, 0.00061, 0.00066, 0.00070, 0.00071, 0.00070, 0.00066, 0.00061, 0.00053, 0.00045, 0.00036, 0.00027, 0.00019, 0.00013, 0.00009, 0.00008, 0.00009, 0.00013, 0.00019, 0.00027, 0.00036, 0.00045, 0.00055, 0.00064, 0.00072, 0.00078, 0.00082, 0.00083, 0.00082, 0.00078, 0.00072, 0.00064, 0.00055, + 0.00045, 0.00032, 0.00019, 0.00008, 0.00001, 0.00001, 0.00001, 0.00001, 19.99182, 0.00008, 0.00019, 0.00032, 0.00045, 0.00059, 0.00072, 0.00083, 0.00092, 0.00097, 0.00099, 0.00097, 0.00092, 0.00083, 0.00072, 0.00059, 0.00045, 0.00026, 0.00007, 0.00002, 0.00003, 0.00003, 0.00003, 0.00003, 0.00003, 0.00002, 0.00007, 0.00026, 0.00045, 0.00065, 0.00084, 0.00099, 0.00099, + 0.00099, 0.00099, 0.00099, 0.00099, 0.00099, 0.00084, 0.00065, 0.00046, 0.00002, 0.00004, 0.00005, 0.00006, 0.00005, 0.00004, 0.00002, 0.00046, 0.00092, 0.00099, 0.00099, 0.00099, 0.00099, 0.00099, 0.00094, 0.00046, 0.00007, 0.00008, 0.00008, 0.00008, 0.00007, 0.00046, 0.00099, 0.00099, 0.00099, 0.00099, 0.00099, 0.00029, 0.00029, 0.00030, 0.00031, 0.00030, 0.00029, + 0.00028, 0.00027, 0.00028, 0.00029, 0.00031, 0.00032, 0.00034, 0.00034, 0.00034, 0.00032, 0.00031, 0.00029, 0.00028, 0.00027, 0.00027, 0.00027, 0.00027, 0.00027, 0.00028, 0.00029, 0.00031, 0.00034, 0.00037, 0.00039, 0.00039, 0.00039, 0.00037, 0.00034, 0.00031, 0.00029, 0.00028, 0.00027, 0.00027, 0.00027, 0.00027, 0.00027, 0.00027, 0.00027, 0.00028, 0.00030, 0.00033, + 0.00037, 0.00042, 0.00046, 0.00048, 0.00049, 0.00048, 0.00046, 0.00042, 0.00037, 0.00033, 0.00030, 0.00028, 0.00027, 0.00027, 0.00027, 0.00028, 0.00028, 0.00028, 0.00027, 0.00027, 0.00027, 0.00028, 0.00032, 0.00039, 0.00048, 0.00057, 0.00072, 0.00098, 0.00107, 0.00098, 0.00072, 18.83344, 0.00048, 0.00039, 0.00032, 0.00029, 0.00027, 0.00028, 0.00030, 0.00032, 0.00033, + 0.00032, 0.00030, 0.00028, 0.00027, 0.00029, 0.00039, 0.00056, 0.00079, 0.00137, 0.00186, 0.00217, 0.00228, 0.00217, 0.00186, 0.00137, 0.00079, 0.00056, 0.00039, 0.00030, 0.00029, 0.00033, 0.00030, 0.00029, 0.00028, 0.00029, 0.00030, 0.00033, 0.00029, 0.00030, 0.00054, 0.00149, 0.00299, 0.00388, 0.00421, 0.00391, 0.00299, 0.00159, 0.00054, 0.00030, 0.00027, 0.00024, + 0.00023, 0.00024, 0.00027, 0.00031, 0.00092, 0.00489, 0.00489, 0.00489, 0.00489, 0.00489, 0.00092, 0.00021, 0.00019, 0.00018, 0.00019, 0.00021, 0.00074, 0.00074, 0.00078, 0.00080, 0.00078, 0.00074, 0.00071, 0.00070, 0.00071, 0.00074, 0.00078, 0.00083, 0.00087, 0.00088, 0.00087, 0.00083, 0.00079, 0.00074, 0.00071, 0.00069, 0.00068, 0.00068, 0.00068, 0.00069, 0.00071, + 0.00075, 0.00081, 0.00088, 0.00094, 0.00099, 0.00101, 0.00099, 0.00094, 0.00088, 0.00081, 0.00075, 0.00071, 0.00069, 0.00068, 0.00068, 0.00069, 0.00068, 0.00068, 0.00069, 0.00071, 0.00077, 0.00085, 0.00096, 0.00107, 0.00117, 0.00124, 0.00126, 0.00124, 0.00117, 0.00107, 0.00096, 0.00085, 0.00077, 0.00071, 0.00069, 0.00069, 0.00071, 0.00072, 0.00073, 0.00072, 0.00071, + 0.00069, 0.00069, 0.00071, 0.00083, 0.00101, 0.00123, 0.00147, 0.00184, 0.00252, 0.00275, 0.00252, 0.00184, 0.00147, 16.54959, 0.00101, 0.00083, 0.00073, 0.00071, 0.00073, 0.00078, 0.00083, 0.00084, 0.00083, 0.00078, 0.00073, 0.00071, 0.00073, 0.00100, 0.00144, 0.00204, 0.00352, 0.00478, 0.00558, 0.00585, 0.00558, 0.00478, 0.00352, 0.00204, 0.00144, 0.00100, 0.00077, + 0.00074, 0.00084, 0.00078, 0.00074, 0.00073, 0.00074, 0.00078, 0.00084, 0.00074, 0.00077, 0.00138, 0.00383, 0.00768, 0.00997, 0.01082, 0.01004, 0.00768, 0.00409, 0.00138, 0.00078, 0.00070, 0.00062, 0.00060, 0.00062, 0.00070, 0.00080, 0.00236, 0.01255, 0.01256, 0.01256, 0.01256, 0.01255, 0.00236, 0.00055, 0.00049, 0.00047, 0.00049, 0.00055, 0.00127, 0.00127, 0.00133, + 0.00137, 0.00133, 0.00127, 0.00122, 0.00120, 0.00122, 0.00127, 0.00134, 0.00142, 0.00148, 0.00150, 0.00148, 0.00142, 0.00134, 0.00127, 0.00122, 0.00118, 0.00117, 0.00117, 0.00117, 0.00118, 0.00121, 0.00128, 0.00138, 0.00150, 0.00161, 0.00170, 0.00173, 0.00170, 0.00161, 0.00150, 0.00138, 0.00128, 0.00121, 0.00118, 0.00117, 0.00117, 0.00118, 0.00117, 0.00117, 0.00118, + 0.00121, 0.00132, 0.00146, 0.00164, 0.00183, 0.00200, 0.00212, 0.00216, 0.00212, 0.00200, 0.00183, 0.00164, 0.00146, 0.00132, 0.00122, 0.00118, 0.00119, 0.00121, 0.00123, 0.00124, 0.00123, 0.00121, 0.00119, 0.00118, 0.00122, 0.00143, 0.00172, 0.00211, 0.00252, 0.00315, 0.00431, 0.00471, 0.00431, 0.00315, 0.00252, 0.00211, 13.88973, 0.00143, 0.00126, 0.00121, 0.00125, + 0.00134, 0.00142, 0.00145, 0.00142, 0.00134, 0.00125, 0.00121, 0.00126, 0.00171, 0.00247, 0.00349, 0.00602, 0.00818, 0.00954, 0.01001, 0.00954, 0.00818, 0.00602, 0.00349, 0.00247, 0.00171, 0.00132, 0.00127, 0.00143, 0.00133, 0.00126, 0.00124, 0.00126, 0.00133, 0.00143, 0.00127, 0.00132, 0.00236, 0.00655, 0.01315, 0.01706, 0.01851, 0.01718, 0.01315, 0.00699, 0.00236, + 0.00134, 0.00119, 0.00106, 0.00102, 0.00105, 0.00119, 0.00137, 0.00403, 0.02148, 0.02149, 0.02149, 0.02149, 0.02148, 0.00403, 0.00094, 0.00084, 0.00081, 0.00084, 0.00094, 0.00184, 0.00184, 0.00193, 0.00198, 0.00193, 0.00184, 0.00176, 0.00174, 0.00176, 0.00184, 0.00194, 0.00206, 0.00214, 0.00218, 0.00214, 0.00206, 0.00194, 0.00184, 0.00176, 0.00171, 0.00169, 0.00169, + 0.00169, 0.00171, 0.00176, 0.00185, 0.00200, 0.00217, 0.00233, 0.00245, 0.00250, 0.00245, 0.00233, 0.00217, 0.00200, 0.00185, 0.00175, 0.00170, 0.00169, 0.00170, 0.00170, 0.00170, 0.00169, 0.00170, 0.00175, 0.00190, 0.00211, 0.00238, 0.00265, 0.00290, 0.00307, 0.00313, 0.00307, 0.00290, 0.00265, 0.00238, 0.00211, 0.00190, 0.00177, 0.00171, 0.00171, 0.00175, 0.00178, + 0.00180, 0.00178, 0.00175, 0.00171, 0.00171, 0.00177, 0.00207, 0.00249, 0.00305, 0.00365, 0.00455, 0.00624, 0.00681, 0.00624, 0.00455, 0.00365, 0.00305, 0.00249, 11.03516, 0.00182, 0.00175, 0.00181, 0.00194, 0.00205, 0.00209, 0.00205, 0.00194, 0.00181, 0.00175, 0.00182, 0.00248, 0.00357, 0.00504, 0.00871, 0.01183, 0.01380, 0.01447, 0.01380, 0.01183, 0.00871, 0.00504, + 0.00357, 0.00248, 0.00191, 0.00184, 0.00207, 0.00192, 0.00183, 0.00179, 0.00183, 0.00192, 0.00207, 0.00184, 0.00191, 0.00342, 0.00948, 0.01901, 0.02466, 0.02677, 0.02484, 0.01901, 0.01011, 0.00342, 0.00194, 0.00172, 0.00153, 0.00148, 0.00152, 0.00172, 0.00198, 0.00583, 0.03106, 0.03108, 0.03108, 0.03108, 0.03106, 0.00583, 0.00136, 0.00121, 0.00117, 0.00121, 0.00136, + 0.00240, 0.00240, 0.00252, 0.00259, 0.00252, 0.00240, 0.00231, 0.00228, 0.00231, 0.00240, 0.00254, 0.00269, 0.00280, 0.00285, 0.00281, 0.00269, 0.00254, 0.00240, 0.00230, 0.00224, 0.00222, 0.00221, 0.00222, 0.00224, 0.00230, 0.00242, 0.00261, 0.00284, 0.00305, 0.00321, 0.00327, 0.00321, 0.00305, 0.00284, 0.00261, 0.00242, 0.00229, 0.00222, 0.00221, 0.00222, 0.00222, + 0.00222, 0.00221, 0.00222, 0.00229, 0.00249, 0.00276, 0.00311, 0.00347, 0.00379, 0.00401, 0.00409, 0.00401, 0.00379, 0.00347, 0.00311, 0.00276, 0.00249, 0.00231, 0.00224, 0.00224, 0.00229, 0.00233, 0.00235, 0.00233, 0.00229, 0.00224, 0.00224, 0.00231, 0.00270, 0.00326, 0.00399, 0.00477, 0.00595, 0.00816, 0.00891, 0.00816, 0.00595, 0.00477, 0.00399, 0.00326, 0.00270, + 8.18057, 0.00229, 0.00237, 0.00254, 0.00269, 0.00274, 0.00269, 0.00254, 0.00237, 0.00229, 0.00238, 0.00324, 0.00467, 0.00660, 0.01139, 0.01548, 0.01805, 0.01893, 0.01805, 0.01548, 0.01139, 0.00660, 0.00467, 0.00324, 0.00249, 0.00240, 0.00271, 0.00251, 0.00239, 0.00235, 0.00239, 0.00251, 0.00271, 0.00240, 0.00249, 0.00447, 0.01240, 0.02487, 0.03227, 0.03503, 0.03250, + 0.02487, 0.01323, 0.00447, 0.00253, 0.00225, 0.00200, 0.00193, 0.00199, 0.00225, 0.00259, 0.00763, 0.04064, 0.04066, 0.04067, 0.04066, 0.04064, 0.00763, 0.00178, 0.00159, 0.00154, 0.00159, 0.00178, 0.00293, 0.00293, 0.00308, 0.00315, 0.00308, 0.00293, 0.00281, 0.00278, 0.00281, 0.00293, 0.00310, 0.00328, 0.00342, 0.00347, 0.00342, 0.00328, 0.00310, 0.00293, 0.00281, + 0.00273, 0.00270, 0.00270, 0.00270, 0.00273, 0.00280, 0.00295, 0.00318, 0.00346, 0.00373, 0.00392, 0.00398, 0.00392, 0.00373, 0.00346, 0.00318, 0.00295, 0.00279, 0.00271, 0.00270, 0.00271, 0.00271, 0.00271, 0.00270, 0.00271, 0.00279, 0.00304, 0.00337, 0.00379, 0.00423, 0.00463, 0.00490, 0.00499, 0.00490, 0.00463, 0.00423, 0.00379, 0.00337, 0.00304, 0.00282, 0.00273, + 0.00273, 0.00279, 0.00285, 0.00287, 0.00285, 0.00279, 0.00273, 0.00273, 0.00282, 0.00330, 0.00398, 0.00486, 0.00582, 0.00726, 0.00995, 0.01086, 0.00995, 0.00726, 0.00582, 0.00486, 0.00398, 0.00330, 0.00290, 5.52062, 0.00289, 0.00309, 0.00328, 0.00334, 0.00328, 0.00309, 0.00289, 0.00279, 0.00290, 0.00396, 0.00569, 0.00805, 0.01389, 0.01888, 0.02202, 0.02309, 0.02202, + 0.01888, 0.01389, 0.00805, 0.00569, 0.00396, 0.00304, 0.00293, 0.00331, 0.00307, 0.00292, 0.00286, 0.00292, 0.00307, 0.00331, 0.00293, 0.00304, 0.00545, 0.01512, 0.03034, 0.03936, 0.04272, 0.03964, 0.03034, 0.01614, 0.00545, 0.00309, 0.00275, 0.00244, 0.00236, 0.00243, 0.00275, 0.00316, 0.00931, 0.04957, 0.04960, 0.04960, 0.04960, 0.04957, 0.00931, 0.00218, 0.00193, + 0.00187, 0.00193, 0.00218, 0.00338, 0.00338, 0.00356, 0.00364, 0.00356, 0.00338, 0.00325, 0.00321, 0.00325, 0.00338, 0.00357, 0.00379, 0.00395, 0.00401, 0.00395, 0.00379, 0.00358, 0.00338, 0.00324, 0.00316, 0.00312, 0.00311, 0.00312, 0.00316, 0.00323, 0.00341, 0.00368, 0.00400, 0.00430, 0.00452, 0.00460, 0.00452, 0.00430, 0.00400, 0.00368, 0.00341, 0.00322, 0.00313, + 0.00311, 0.00312, 0.00313, 0.00312, 0.00311, 0.00313, 0.00322, 0.00351, 0.00389, 0.00438, 0.00489, 0.00534, 0.00565, 0.00576, 0.00565, 0.00534, 0.00489, 0.00438, 0.00389, 0.00351, 0.00326, 0.00315, 0.00316, 0.00322, 0.00329, 0.00332, 0.00329, 0.00322, 0.00316, 0.00315, 0.00326, 0.00381, 0.00459, 0.00562, 0.00672, 0.00838, 0.01149, 0.01254, 0.01149, 0.00838, 0.00672, + 0.00562, 0.00459, 0.00381, 0.00335, 0.00322, 3.23667, 0.00357, 0.00378, 0.00385, 0.00378, 0.00357, 0.00333, 0.00322, 0.00335, 0.00457, 0.00657, 0.00930, 0.01604, 0.02180, 0.02543, 0.02666, 0.02543, 0.02180, 0.01604, 0.00930, 0.00657, 0.00457, 0.00351, 0.00338, 0.00382, 0.00354, 0.00337, 0.00331, 0.00337, 0.00354, 0.00382, 0.00338, 0.00351, 0.00629, 0.01746, 0.03503, + 0.04545, 0.04933, 0.04578, 0.03503, 0.01863, 0.00629, 0.00357, 0.00318, 0.00282, 0.00272, 0.00281, 0.00318, 0.00365, 0.01075, 0.05723, 0.05727, 0.05727, 0.05727, 0.05723, 0.01075, 0.00251, 0.00223, 0.00216, 0.00223, 0.00251, 0.00373, 0.00373, 0.00392, 0.00401, 0.00392, 0.00373, 0.00358, 0.00354, 0.00358, 0.00373, 0.00394, 0.00418, 0.00435, 0.00442, 0.00436, 0.00418, + 0.00395, 0.00373, 0.00357, 0.00348, 0.00344, 0.00343, 0.00344, 0.00348, 0.00357, 0.00376, 0.00405, 0.00441, 0.00474, 0.00499, 0.00507, 0.00499, 0.00474, 0.00441, 0.00405, 0.00376, 0.00355, 0.00345, 0.00343, 0.00344, 0.00345, 0.00344, 0.00343, 0.00345, 0.00355, 0.00387, 0.00429, 0.00483, 0.00539, 0.00589, 0.00623, 0.00636, 0.00623, 0.00589, 0.00539, 0.00483, 0.00429, + 0.00387, 0.00359, 0.00348, 0.00348, 0.00355, 0.00363, 0.00366, 0.00363, 0.00355, 0.00348, 0.00348, 0.00359, 0.00420, 0.00506, 0.00619, 0.00741, 0.00925, 0.01268, 0.01383, 0.01268, 0.00925, 0.00741, 0.00619, 0.00506, 0.00420, 0.00369, 0.00355, 0.00368, 1.48432, 0.00417, 0.00425, 0.00417, 0.00394, 0.00368, 0.00355, 0.00369, 0.00504, 0.00725, 0.01025, 0.01769, 0.02404, + 0.02804, 0.02940, 0.02804, 0.02404, 0.01769, 0.01025, 0.00725, 0.00504, 0.00387, 0.00373, 0.00421, 0.00391, 0.00371, 0.00365, 0.00371, 0.00391, 0.00421, 0.00373, 0.00387, 0.00694, 0.01926, 0.03863, 0.05012, 0.05440, 0.05048, 0.03863, 0.02055, 0.00694, 0.00393, 0.00350, 0.00311, 0.00300, 0.00309, 0.00350, 0.00402, 0.01186, 0.06312, 0.06315, 0.06316, 0.06315, 0.06312, + 0.01186, 0.00277, 0.00246, 0.00239, 0.00246, 0.00277, 0.00395, 0.00395, 0.00415, 0.00425, 0.00415, 0.00395, 0.00379, 0.00374, 0.00379, 0.00395, 0.00417, 0.00442, 0.00461, 0.00468, 0.00461, 0.00442, 0.00418, 0.00395, 0.00378, 0.00368, 0.00365, 0.00364, 0.00364, 0.00368, 0.00378, 0.00398, 0.00429, 0.00467, 0.00502, 0.00528, 0.00537, 0.00528, 0.00502, 0.00467, 0.00429, + 0.00398, 0.00376, 0.00366, 0.00363, 0.00365, 0.00366, 0.00365, 0.00363, 0.00366, 0.00376, 0.00409, 0.00454, 0.00511, 0.00571, 0.00624, 0.00660, 0.00673, 0.00660, 0.00624, 0.00571, 0.00511, 0.00454, 0.00409, 0.00380, 0.00368, 0.00369, 0.00376, 0.00384, 0.00387, 0.00384, 0.00376, 0.00369, 0.00368, 0.00380, 0.00444, 0.00536, 0.00656, 0.00785, 0.00979, 0.01342, 0.01464, + 0.01342, 0.00979, 0.00785, 0.00656, 0.00536, 0.00444, 0.00391, 0.00376, 0.00389, 0.00417, 0.38284, 0.00450, 0.00441, 0.00417, 0.00389, 0.00376, 0.00391, 0.00533, 0.00767, 0.01085, 0.01873, 0.02545, 0.02968, 0.03112, 0.02968, 0.02545, 0.01873, 0.01085, 0.00767, 0.00533, 0.00410, 0.00395, 0.00446, 0.00413, 0.00393, 0.00386, 0.00393, 0.00413, 0.00446, 0.00395, 0.00410, + 0.00735, 0.02038, 0.04089, 0.05306, 0.05759, 0.05344, 0.04089, 0.02175, 0.00735, 0.00416, 0.00371, 0.00329, 0.00318, 0.00328, 0.00371, 0.00426, 0.01255, 0.06681, 0.06685, 0.06686, 0.06685, 0.06681, 0.01255, 0.00293, 0.00261, 0.00253, 0.00261, 0.00293, 0.00402, 0.00402, 0.00423, 0.00433, 0.00423, 0.00402, 0.00387, 0.00381, 0.00387, 0.00402, 0.00425, 0.00451, 0.00469, + 0.00477, 0.00470, 0.00451, 0.00426, 0.00402, 0.00385, 0.00375, 0.00371, 0.00370, 0.00371, 0.00375, 0.00385, 0.00405, 0.00437, 0.00475, 0.00512, 0.00538, 0.00547, 0.00538, 0.00512, 0.00475, 0.00437, 0.00405, 0.00383, 0.00373, 0.00370, 0.00372, 0.00372, 0.00372, 0.00370, 0.00373, 0.00383, 0.00417, 0.00463, 0.00521, 0.00582, 0.00635, 0.00672, 0.00686, 0.00672, 0.00635, + 0.00582, 0.00521, 0.00463, 0.00417, 0.00388, 0.00375, 0.00376, 0.00383, 0.00391, 0.00394, 0.00391, 0.00383, 0.00376, 0.00375, 0.00388, 0.00453, 0.00546, 0.00668, 0.00800, 0.00997, 0.01367, 0.01492, 0.01367, 0.00997, 0.00800, 0.00668, 0.00546, 0.00453, 0.00398, 0.00383, 0.00396, 0.00425, 0.00450, 0.00715, 0.00450, 0.00425, 0.00396, 0.00383, 0.00398, 0.00544, 0.00782, + 0.01106, 0.01908, 0.02593, 0.03024, 0.03171, 0.03024, 0.02593, 0.01908, 0.01106, 0.00782, 0.00544, 0.00418, 0.00402, 0.00454, 0.00421, 0.00401, 0.00393, 0.00401, 0.00421, 0.00454, 0.00402, 0.00418, 0.00749, 0.02077, 0.04167, 0.05406, 0.05868, 0.05445, 0.04167, 0.02216, 0.00749, 0.00424, 0.00378, 0.00335, 0.00324, 0.00334, 0.00378, 0.00434, 0.01279, 0.06808, 0.06812, + 0.06812, 0.06812, 0.06808, 0.01279, 0.00299, 0.00266, 0.00257, 0.00266, 0.00299, 0.00395, 0.00395, 0.00415, 0.00425, 0.00415, 0.00395, 0.00379, 0.00374, 0.00379, 0.00395, 0.00417, 0.00442, 0.00461, 0.00468, 0.00461, 0.00442, 0.00418, 0.00395, 0.00378, 0.00368, 0.00365, 0.00364, 0.00364, 0.00368, 0.00378, 0.00398, 0.00429, 0.00467, 0.00502, 0.00528, 0.00537, 0.00528, + 0.00502, 0.00467, 0.00429, 0.00398, 0.00376, 0.00366, 0.00363, 0.00365, 0.00366, 0.00365, 0.00363, 0.00366, 0.00376, 0.00409, 0.00454, 0.00511, 0.00571, 0.00624, 0.00660, 0.00673, 0.00660, 0.00624, 0.00571, 0.00511, 0.00454, 0.00409, 0.00380, 0.00368, 0.00369, 0.00376, 0.00384, 0.00387, 0.00384, 0.00376, 0.00369, 0.00368, 0.00380, 0.00444, 0.00536, 0.00656, 0.00785, + 0.00979, 0.01342, 0.01464, 0.01342, 0.00979, 0.00785, 0.00656, 0.00536, 0.00444, 0.00391, 0.00376, 0.00389, 0.00417, 0.00441, 0.00450, 0.38284, 0.00417, 0.00389, 0.00376, 0.00391, 0.00533, 0.00767, 0.01085, 0.01873, 0.02545, 0.02968, 0.03112, 0.02968, 0.02545, 0.01873, 0.01085, 0.00767, 0.00533, 0.00410, 0.00395, 0.00446, 0.00413, 0.00393, 0.00386, 0.00393, 0.00413, + 0.00446, 0.00395, 0.00410, 0.00735, 0.02038, 0.04089, 0.05306, 0.05759, 0.05344, 0.04089, 0.02175, 0.00735, 0.00416, 0.00371, 0.00329, 0.00318, 0.00328, 0.00371, 0.00426, 0.01255, 0.06681, 0.06685, 0.06686, 0.06685, 0.06681, 0.01255, 0.00293, 0.00261, 0.00253, 0.00261, 0.00293, 0.00373, 0.00373, 0.00392, 0.00401, 0.00392, 0.00373, 0.00358, 0.00354, 0.00358, 0.00373, + 0.00394, 0.00418, 0.00435, 0.00442, 0.00436, 0.00418, 0.00395, 0.00373, 0.00357, 0.00348, 0.00344, 0.00343, 0.00344, 0.00348, 0.00357, 0.00376, 0.00405, 0.00441, 0.00474, 0.00499, 0.00507, 0.00499, 0.00474, 0.00441, 0.00405, 0.00376, 0.00355, 0.00345, 0.00343, 0.00344, 0.00345, 0.00344, 0.00343, 0.00345, 0.00355, 0.00387, 0.00429, 0.00483, 0.00539, 0.00589, 0.00623, + 0.00636, 0.00623, 0.00589, 0.00539, 0.00483, 0.00429, 0.00387, 0.00359, 0.00348, 0.00348, 0.00355, 0.00363, 0.00366, 0.00363, 0.00355, 0.00348, 0.00348, 0.00359, 0.00420, 0.00506, 0.00619, 0.00741, 0.00925, 0.01268, 0.01383, 0.01268, 0.00925, 0.00741, 0.00619, 0.00506, 0.00420, 0.00369, 0.00355, 0.00368, 0.00394, 0.00417, 0.00425, 0.00417, 1.48432, 0.00368, 0.00355, + 0.00369, 0.00504, 0.00725, 0.01025, 0.01769, 0.02404, 0.02804, 0.02940, 0.02804, 0.02404, 0.01769, 0.01025, 0.00725, 0.00504, 0.00387, 0.00373, 0.00421, 0.00391, 0.00371, 0.00365, 0.00371, 0.00391, 0.00421, 0.00373, 0.00387, 0.00694, 0.01926, 0.03863, 0.05012, 0.05440, 0.05048, 0.03863, 0.02055, 0.00694, 0.00393, 0.00350, 0.00311, 0.00300, 0.00309, 0.00350, 0.00402, + 0.01186, 0.06312, 0.06315, 0.06316, 0.06315, 0.06312, 0.01186, 0.00277, 0.00246, 0.00239, 0.00246, 0.00277, 0.00338, 0.00338, 0.00356, 0.00364, 0.00356, 0.00338, 0.00325, 0.00321, 0.00325, 0.00338, 0.00357, 0.00379, 0.00395, 0.00401, 0.00395, 0.00379, 0.00358, 0.00338, 0.00324, 0.00316, 0.00312, 0.00311, 0.00312, 0.00316, 0.00323, 0.00341, 0.00368, 0.00400, 0.00430, + 0.00452, 0.00460, 0.00452, 0.00430, 0.00400, 0.00368, 0.00341, 0.00322, 0.00313, 0.00311, 0.00312, 0.00313, 0.00312, 0.00311, 0.00313, 0.00322, 0.00351, 0.00389, 0.00438, 0.00489, 0.00534, 0.00565, 0.00576, 0.00565, 0.00534, 0.00489, 0.00438, 0.00389, 0.00351, 0.00326, 0.00315, 0.00316, 0.00322, 0.00329, 0.00332, 0.00329, 0.00322, 0.00316, 0.00315, 0.00326, 0.00381, + 0.00459, 0.00562, 0.00672, 0.00838, 0.01149, 0.01254, 0.01149, 0.00838, 0.00672, 0.00562, 0.00459, 0.00381, 0.00335, 0.00322, 0.00333, 0.00357, 0.00378, 0.00385, 0.00378, 0.00357, 3.23667, 0.00322, 0.00335, 0.00457, 0.00657, 0.00930, 0.01604, 0.02180, 0.02543, 0.02666, 0.02543, 0.02180, 0.01604, 0.00930, 0.00657, 0.00457, 0.00351, 0.00338, 0.00382, 0.00354, 0.00337, + 0.00331, 0.00337, 0.00354, 0.00382, 0.00338, 0.00351, 0.00629, 0.01746, 0.03503, 0.04545, 0.04933, 0.04578, 0.03503, 0.01863, 0.00629, 0.00357, 0.00318, 0.00282, 0.00272, 0.00281, 0.00318, 0.00365, 0.01075, 0.05723, 0.05727, 0.05727, 0.05727, 0.05723, 0.01075, 0.00251, 0.00223, 0.00216, 0.00223, 0.00251, 0.00293, 0.00293, 0.00308, 0.00315, 0.00308, 0.00293, 0.00281, + 0.00278, 0.00281, 0.00293, 0.00310, 0.00328, 0.00342, 0.00347, 0.00342, 0.00328, 0.00310, 0.00293, 0.00281, 0.00273, 0.00270, 0.00270, 0.00270, 0.00273, 0.00280, 0.00295, 0.00318, 0.00346, 0.00373, 0.00392, 0.00398, 0.00392, 0.00373, 0.00346, 0.00318, 0.00295, 0.00279, 0.00271, 0.00270, 0.00271, 0.00271, 0.00271, 0.00270, 0.00271, 0.00279, 0.00304, 0.00337, 0.00379, + 0.00423, 0.00463, 0.00490, 0.00499, 0.00490, 0.00463, 0.00423, 0.00379, 0.00337, 0.00304, 0.00282, 0.00273, 0.00273, 0.00279, 0.00285, 0.00287, 0.00285, 0.00279, 0.00273, 0.00273, 0.00282, 0.00330, 0.00398, 0.00486, 0.00582, 0.00726, 0.00995, 0.01086, 0.00995, 0.00726, 0.00582, 0.00486, 0.00398, 0.00330, 0.00290, 0.00279, 0.00289, 0.00309, 0.00328, 0.00334, 0.00328, + 0.00309, 0.00289, 5.52062, 0.00290, 0.00396, 0.00569, 0.00805, 0.01389, 0.01888, 0.02202, 0.02309, 0.02202, 0.01888, 0.01389, 0.00805, 0.00569, 0.00396, 0.00304, 0.00293, 0.00331, 0.00307, 0.00292, 0.00286, 0.00292, 0.00307, 0.00331, 0.00293, 0.00304, 0.00545, 0.01512, 0.03034, 0.03936, 0.04272, 0.03964, 0.03034, 0.01614, 0.00545, 0.00309, 0.00275, 0.00244, 0.00236, + 0.00243, 0.00275, 0.00316, 0.00931, 0.04957, 0.04960, 0.04960, 0.04960, 0.04957, 0.00931, 0.00218, 0.00193, 0.00187, 0.00193, 0.00218, 0.00240, 0.00240, 0.00252, 0.00259, 0.00252, 0.00240, 0.00231, 0.00228, 0.00231, 0.00240, 0.00254, 0.00269, 0.00280, 0.00285, 0.00281, 0.00269, 0.00254, 0.00240, 0.00230, 0.00224, 0.00222, 0.00221, 0.00222, 0.00224, 0.00230, 0.00242, + 0.00261, 0.00284, 0.00305, 0.00321, 0.00327, 0.00321, 0.00305, 0.00284, 0.00261, 0.00242, 0.00229, 0.00222, 0.00221, 0.00222, 0.00222, 0.00222, 0.00221, 0.00222, 0.00229, 0.00249, 0.00276, 0.00311, 0.00347, 0.00379, 0.00401, 0.00409, 0.00401, 0.00379, 0.00347, 0.00311, 0.00276, 0.00249, 0.00231, 0.00224, 0.00224, 0.00229, 0.00233, 0.00235, 0.00233, 0.00229, 0.00224, + 0.00224, 0.00231, 0.00270, 0.00326, 0.00399, 0.00477, 0.00595, 0.00816, 0.00891, 0.00816, 0.00595, 0.00477, 0.00399, 0.00326, 0.00270, 0.00238, 0.00229, 0.00237, 0.00254, 0.00269, 0.00274, 0.00269, 0.00254, 0.00237, 0.00229, 8.18057, 0.00324, 0.00467, 0.00660, 0.01139, 0.01548, 0.01805, 0.01893, 0.01805, 0.01548, 0.01139, 0.00660, 0.00467, 0.00324, 0.00249, 0.00240, + 0.00271, 0.00251, 0.00239, 0.00235, 0.00239, 0.00251, 0.00271, 0.00240, 0.00249, 0.00447, 0.01240, 0.02487, 0.03227, 0.03503, 0.03250, 0.02487, 0.01323, 0.00447, 0.00253, 0.00225, 0.00200, 0.00193, 0.00199, 0.00225, 0.00259, 0.00763, 0.04064, 0.04066, 0.04067, 0.04066, 0.04064, 0.00763, 0.00178, 0.00159, 0.00154, 0.00159, 0.00178, 0.00162, 0.00162, 0.00171, 0.00175, + 0.00171, 0.00162, 0.00156, 0.00154, 0.00156, 0.00162, 0.00171, 0.00182, 0.00189, 0.00192, 0.00190, 0.00182, 0.00172, 0.00162, 0.00155, 0.00151, 0.00150, 0.00149, 0.00149, 0.00151, 0.00155, 0.00163, 0.00176, 0.00192, 0.00207, 0.00217, 0.00221, 0.00217, 0.00207, 0.00192, 0.00176, 0.00163, 0.00154, 0.00150, 0.00149, 0.00149, 0.00150, 0.00149, 0.00149, 0.00150, 0.00154, + 0.00168, 0.00187, 0.00210, 0.00235, 0.00257, 0.00272, 0.00277, 0.00272, 0.00257, 0.00235, 0.00210, 0.00187, 0.00168, 0.00156, 0.00151, 0.00151, 0.00154, 0.00157, 0.00159, 0.00157, 0.00154, 0.00151, 0.00151, 0.00156, 0.00183, 0.00220, 0.00270, 0.00323, 0.00403, 0.00552, 0.00602, 0.00552, 0.00403, 0.00323, 0.00270, 0.00220, 0.00183, 0.00160, 0.00154, 0.00159, 0.00171, + 0.00181, 0.00184, 0.00181, 0.00171, 0.00159, 0.00154, 0.00160, 11.04752, 0.00316, 0.00447, 0.00769, 0.01044, 0.01217, 0.01276, 0.01217, 0.01044, 0.00769, 0.00447, 0.00316, 0.00219, 0.00168, 0.00162, 0.00183, 0.00169, 0.00161, 0.00158, 0.00161, 0.00169, 0.00183, 0.00162, 0.00168, 0.00302, 0.00839, 0.01676, 0.02173, 0.02358, 0.02188, 0.01676, 0.00895, 0.00302, 0.00171, + 0.00152, 0.00135, 0.00130, 0.00134, 0.00152, 0.00174, 0.00515, 0.02735, 0.02736, 0.02736, 0.02736, 0.02735, 0.00515, 0.00120, 0.00107, 0.00103, 0.00107, 0.00120, 0.00089, 0.00089, 0.00094, 0.00096, 0.00094, 0.00089, 0.00086, 0.00085, 0.00086, 0.00089, 0.00095, 0.00100, 0.00105, 0.00106, 0.00105, 0.00100, 0.00095, 0.00089, 0.00086, 0.00083, 0.00082, 0.00082, 0.00082, + 0.00083, 0.00086, 0.00090, 0.00097, 0.00106, 0.00114, 0.00120, 0.00122, 0.00120, 0.00114, 0.00106, 0.00097, 0.00090, 0.00085, 0.00083, 0.00082, 0.00082, 0.00083, 0.00082, 0.00082, 0.00083, 0.00085, 0.00093, 0.00103, 0.00116, 0.00130, 0.00142, 0.00150, 0.00153, 0.00150, 0.00142, 0.00130, 0.00116, 0.00103, 0.00093, 0.00086, 0.00083, 0.00083, 0.00085, 0.00087, 0.00087, + 0.00087, 0.00085, 0.00083, 0.00083, 0.00086, 0.00101, 0.00122, 0.00149, 0.00178, 0.00222, 0.00304, 0.00332, 0.00304, 0.00222, 0.00178, 0.00149, 0.00122, 0.00101, 0.00089, 0.00085, 0.00088, 0.00094, 0.00100, 0.00102, 0.00100, 0.00094, 0.00088, 0.00085, 0.00089, 0.00121, 15.20089, 0.00246, 0.00424, 0.00576, 0.00671, 0.00704, 0.00671, 0.00576, 0.00424, 0.00246, 0.00174, + 0.00121, 0.00093, 0.00089, 0.00101, 0.00093, 0.00089, 0.00087, 0.00089, 0.00093, 0.00101, 0.00089, 0.00093, 0.00167, 0.00463, 0.00925, 0.01199, 0.01301, 0.01207, 0.00925, 0.00494, 0.00167, 0.00094, 0.00084, 0.00074, 0.00072, 0.00074, 0.00084, 0.00096, 0.00284, 0.01509, 0.01510, 0.01510, 0.01510, 0.01509, 0.00284, 0.00066, 0.00059, 0.00057, 0.00059, 0.00066, 0.00022, + 0.00022, 0.00023, 0.00023, 0.00023, 0.00022, 0.00021, 0.00021, 0.00021, 0.00022, 0.00023, 0.00024, 0.00025, 0.00026, 0.00025, 0.00024, 0.00023, 0.00022, 0.00021, 0.00020, 0.00020, 0.00020, 0.00020, 0.00020, 0.00021, 0.00022, 0.00024, 0.00026, 0.00028, 0.00029, 0.00030, 0.00029, 0.00028, 0.00026, 0.00024, 0.00022, 0.00021, 0.00020, 0.00020, 0.00020, 0.00020, 0.00020, + 0.00020, 0.00020, 0.00021, 0.00023, 0.00025, 0.00028, 0.00031, 0.00034, 0.00036, 0.00037, 0.00036, 0.00034, 0.00031, 0.00028, 0.00025, 0.00023, 0.00021, 0.00020, 0.00020, 0.00021, 0.00021, 0.00021, 0.00021, 0.00021, 0.00020, 0.00020, 0.00021, 0.00024, 0.00030, 0.00036, 0.00043, 0.00054, 0.00074, 0.00081, 0.00074, 0.00054, 0.00043, 0.00036, 0.00030, 0.00024, 0.00021, + 0.00021, 0.00021, 0.00023, 0.00024, 0.00025, 0.00024, 0.00023, 0.00021, 0.00021, 0.00021, 0.00029, 0.00042, 19.07049, 0.00103, 0.00140, 0.00163, 0.00171, 0.00163, 0.00140, 0.00103, 0.00060, 0.00042, 0.00029, 0.00023, 0.00022, 0.00024, 0.00023, 0.00022, 0.00021, 0.00022, 0.00023, 0.00024, 0.00022, 0.00023, 0.00040, 0.00112, 0.00225, 0.00291, 0.00316, 0.00293, 0.00225, + 0.00120, 0.00040, 0.00023, 0.00020, 0.00018, 0.00017, 0.00018, 0.00020, 0.00023, 0.00069, 0.00366, 0.00367, 0.00367, 0.00367, 0.00366, 0.00069, 0.00016, 0.00014, 0.00014, 0.00014, 0.00016, 0.00279, 0.00279, 0.00245, 0.00231, 0.00245, 0.00279, 0.00314, 0.00328, 0.00314, 0.00279, 0.00242, 0.00208, 0.00187, 0.00179, 0.00186, 0.00208, 0.00240, 0.00279, 0.00317, 0.00350, + 0.00372, 0.00380, 0.00373, 0.00350, 0.00319, 0.00279, 0.00230, 0.00186, 0.00151, 0.00128, 0.00120, 0.00128, 0.00151, 0.00186, 0.00230, 0.00279, 0.00329, 0.00373, 0.00408, 0.00431, 0.00439, 0.00431, 0.00408, 0.00373, 0.00329, 0.00279, 0.00220, 0.00164, 0.00116, 0.00080, 0.00057, 0.00049, 0.00057, 0.00080, 0.00116, 0.00164, 0.00220, 0.00279, 0.00339, 0.00395, 0.00443, + 0.00480, 0.00504, 0.00512, 0.00504, 0.00480, 0.00443, 0.00395, 0.00339, 0.00280, 0.00195, 0.00116, 0.00048, 0.00006, 0.00008, 0.00009, 0.00008, 0.00006, 0.00048, 0.00116, 0.00195, 0.00280, 0.00365, 0.00444, 0.00513, 0.00565, 0.00598, 0.00610, 0.00598, 0.00565, 0.00513, 0.00444, 0.00365, 0.00280, 0.00158, 0.00044, 18.22894, 0.00016, 0.00018, 0.00019, 0.00018, 0.00016, + 0.00012, 0.00044, 0.00158, 0.00280, 0.00403, 0.00519, 0.00610, 0.00609, 0.00609, 0.00609, 0.00609, 0.00609, 0.00610, 0.00519, 0.00403, 0.00281, 0.00013, 0.00025, 0.00033, 0.00035, 0.00033, 0.00025, 0.00014, 0.00281, 0.00565, 0.00609, 0.00609, 0.00609, 0.00609, 0.00609, 0.00577, 0.00285, 0.00042, 0.00047, 0.00048, 0.00047, 0.00042, 0.00285, 0.00609, 0.00608, 0.00608, + 0.00608, 0.00609, 0.00621, 0.00621, 0.00545, 0.00513, 0.00545, 0.00621, 0.00698, 0.00730, 0.00698, 0.00621, 0.00538, 0.00464, 0.00416, 0.00398, 0.00414, 0.00464, 0.00534, 0.00621, 0.00705, 0.00779, 0.00827, 0.00845, 0.00829, 0.00779, 0.00709, 0.00621, 0.00512, 0.00413, 0.00335, 0.00285, 0.00268, 0.00285, 0.00335, 0.00413, 0.00512, 0.00621, 0.00731, 0.00830, 0.00909, + 0.00959, 0.00977, 0.00959, 0.00909, 0.00830, 0.00731, 0.00622, 0.00488, 0.00365, 0.00258, 0.00177, 0.00126, 0.00109, 0.00126, 0.00177, 0.00258, 0.00365, 0.00488, 0.00622, 0.00755, 0.00879, 0.00986, 0.01069, 0.01120, 0.01138, 0.01120, 0.01069, 0.00986, 0.00879, 0.00755, 0.00622, 0.00433, 0.00258, 0.00108, 0.00014, 0.00019, 0.00020, 0.00019, 0.00014, 0.00108, 0.00258, + 0.00433, 0.00622, 0.00811, 0.00988, 0.01140, 0.01257, 0.01331, 0.01356, 0.01331, 0.01257, 0.01140, 0.00988, 0.00811, 0.00623, 0.00350, 0.00098, 0.00026, 15.67866, 0.00040, 0.00042, 0.00040, 0.00035, 0.00026, 0.00098, 0.00350, 0.00623, 0.00898, 0.01155, 0.01356, 0.01356, 0.01355, 0.01355, 0.01355, 0.01356, 0.01356, 0.01155, 0.00898, 0.00626, 0.00028, 0.00055, 0.00072, + 0.00079, 0.00073, 0.00055, 0.00030, 0.00626, 0.01256, 0.01355, 0.01355, 0.01354, 0.01355, 0.01355, 0.01284, 0.00633, 0.00094, 0.00105, 0.00107, 0.00105, 0.00094, 0.00633, 0.01354, 0.01354, 0.01353, 0.01354, 0.01354, 0.00836, 0.00836, 0.00733, 0.00691, 0.00733, 0.00836, 0.00939, 0.00982, 0.00939, 0.00836, 0.00724, 0.00624, 0.00560, 0.00536, 0.00558, 0.00624, 0.00719, + 0.00836, 0.00949, 0.01049, 0.01114, 0.01138, 0.01116, 0.01049, 0.00954, 0.00836, 0.00689, 0.00556, 0.00451, 0.00384, 0.00360, 0.00384, 0.00451, 0.00556, 0.00689, 0.00836, 0.00984, 0.01117, 0.01223, 0.01291, 0.01314, 0.01291, 0.01223, 0.01117, 0.00984, 0.00837, 0.00657, 0.00491, 0.00348, 0.00238, 0.00170, 0.00146, 0.00170, 0.00238, 0.00348, 0.00491, 0.00657, 0.00837, + 0.01016, 0.01184, 0.01328, 0.01438, 0.01508, 0.01532, 0.01508, 0.01438, 0.01328, 0.01184, 0.01016, 0.00837, 0.00583, 0.00347, 0.00145, 0.00018, 0.00025, 0.00027, 0.00025, 0.00018, 0.00145, 0.00347, 0.00583, 0.00837, 0.01092, 0.01330, 0.01535, 0.01693, 0.01792, 0.01825, 0.01792, 0.01693, 0.01535, 0.01330, 0.01092, 0.00839, 0.00472, 0.00131, 0.00035, 0.00047, 14.07554, + 0.00057, 0.00054, 0.00047, 0.00035, 0.00131, 0.00472, 0.00839, 0.01208, 0.01554, 0.01826, 0.01825, 0.01825, 0.01824, 0.01825, 0.01825, 0.01826, 0.01554, 0.01208, 0.00843, 0.00038, 0.00075, 0.00098, 0.00106, 0.00098, 0.00075, 0.00041, 0.00843, 0.01691, 0.01824, 0.01823, 0.01823, 0.01823, 0.01824, 0.01728, 0.00852, 0.00127, 0.00142, 0.00144, 0.00142, 0.00127, 0.00852, + 0.01823, 0.01822, 0.01822, 0.01822, 0.01823, 0.00910, 0.00910, 0.00798, 0.00751, 0.00798, 0.00910, 0.01022, 0.01068, 0.01022, 0.00910, 0.00787, 0.00679, 0.00609, 0.00583, 0.00607, 0.00679, 0.00782, 0.00910, 0.01032, 0.01141, 0.01211, 0.01237, 0.01213, 0.01141, 0.01038, 0.00910, 0.00750, 0.00605, 0.00491, 0.00417, 0.00392, 0.00417, 0.00491, 0.00605, 0.00750, 0.00910, + 0.01070, 0.01215, 0.01330, 0.01404, 0.01430, 0.01404, 0.01330, 0.01215, 0.01070, 0.00910, 0.00715, 0.00534, 0.00378, 0.00259, 0.00184, 0.00159, 0.00184, 0.00259, 0.00378, 0.00534, 0.00715, 0.00910, 0.01105, 0.01287, 0.01444, 0.01565, 0.01640, 0.01666, 0.01640, 0.01565, 0.01444, 0.01287, 0.01105, 0.00911, 0.00635, 0.00378, 0.00158, 0.00020, 0.00027, 0.00030, 0.00027, + 0.00020, 0.00158, 0.00378, 0.00635, 0.00911, 0.01188, 0.01447, 0.01669, 0.01841, 0.01949, 0.01985, 0.01949, 0.01841, 0.01669, 0.01447, 0.01188, 0.00913, 0.00513, 0.00143, 0.00038, 0.00051, 0.00059, 13.52876, 0.00059, 0.00051, 0.00038, 0.00143, 0.00513, 0.00913, 0.01314, 0.01691, 0.01986, 0.01985, 0.01985, 0.01984, 0.01985, 0.01985, 0.01986, 0.01691, 0.01314, 0.00917, + 0.00042, 0.00081, 0.00106, 0.00116, 0.00107, 0.00081, 0.00044, 0.00917, 0.01839, 0.01984, 0.01983, 0.01983, 0.01983, 0.01984, 0.01879, 0.00927, 0.00138, 0.00154, 0.00157, 0.00154, 0.00138, 0.00927, 0.01982, 0.01982, 0.01982, 0.01982, 0.01982, 0.00836, 0.00836, 0.00733, 0.00691, 0.00733, 0.00836, 0.00939, 0.00982, 0.00939, 0.00836, 0.00724, 0.00624, 0.00560, 0.00536, + 0.00558, 0.00624, 0.00719, 0.00836, 0.00949, 0.01049, 0.01114, 0.01138, 0.01116, 0.01049, 0.00954, 0.00836, 0.00689, 0.00556, 0.00451, 0.00384, 0.00360, 0.00384, 0.00451, 0.00556, 0.00689, 0.00836, 0.00984, 0.01117, 0.01223, 0.01291, 0.01314, 0.01291, 0.01223, 0.01117, 0.00984, 0.00837, 0.00657, 0.00491, 0.00348, 0.00238, 0.00170, 0.00146, 0.00170, 0.00238, 0.00348, + 0.00491, 0.00657, 0.00837, 0.01016, 0.01184, 0.01328, 0.01438, 0.01508, 0.01532, 0.01508, 0.01438, 0.01328, 0.01184, 0.01016, 0.00837, 0.00583, 0.00347, 0.00145, 0.00018, 0.00025, 0.00027, 0.00025, 0.00018, 0.00145, 0.00347, 0.00583, 0.00837, 0.01092, 0.01330, 0.01535, 0.01693, 0.01792, 0.01825, 0.01792, 0.01693, 0.01535, 0.01330, 0.01092, 0.00839, 0.00472, 0.00131, + 0.00035, 0.00047, 0.00054, 0.00057, 14.07554, 0.00047, 0.00035, 0.00131, 0.00472, 0.00839, 0.01208, 0.01554, 0.01826, 0.01825, 0.01825, 0.01824, 0.01825, 0.01825, 0.01826, 0.01554, 0.01208, 0.00843, 0.00038, 0.00075, 0.00098, 0.00106, 0.00098, 0.00075, 0.00041, 0.00843, 0.01691, 0.01824, 0.01823, 0.01823, 0.01823, 0.01824, 0.01728, 0.00852, 0.00127, 0.00142, 0.00144, + 0.00142, 0.00127, 0.00852, 0.01823, 0.01822, 0.01822, 0.01822, 0.01823, 0.00621, 0.00621, 0.00545, 0.00513, 0.00545, 0.00621, 0.00698, 0.00730, 0.00698, 0.00621, 0.00538, 0.00464, 0.00416, 0.00398, 0.00414, 0.00464, 0.00534, 0.00621, 0.00705, 0.00779, 0.00827, 0.00845, 0.00829, 0.00779, 0.00709, 0.00621, 0.00512, 0.00413, 0.00335, 0.00285, 0.00268, 0.00285, 0.00335, + 0.00413, 0.00512, 0.00621, 0.00731, 0.00830, 0.00909, 0.00959, 0.00977, 0.00959, 0.00909, 0.00830, 0.00731, 0.00622, 0.00488, 0.00365, 0.00258, 0.00177, 0.00126, 0.00109, 0.00126, 0.00177, 0.00258, 0.00365, 0.00488, 0.00622, 0.00755, 0.00879, 0.00986, 0.01069, 0.01120, 0.01138, 0.01120, 0.01069, 0.00986, 0.00879, 0.00755, 0.00622, 0.00433, 0.00258, 0.00108, 0.00014, + 0.00019, 0.00020, 0.00019, 0.00014, 0.00108, 0.00258, 0.00433, 0.00622, 0.00811, 0.00988, 0.01140, 0.01257, 0.01331, 0.01356, 0.01331, 0.01257, 0.01140, 0.00988, 0.00811, 0.00623, 0.00350, 0.00098, 0.00026, 0.00035, 0.00040, 0.00042, 0.00040, 15.67866, 0.00026, 0.00098, 0.00350, 0.00623, 0.00898, 0.01155, 0.01356, 0.01356, 0.01355, 0.01355, 0.01355, 0.01356, 0.01356, + 0.01155, 0.00898, 0.00626, 0.00028, 0.00055, 0.00072, 0.00079, 0.00073, 0.00055, 0.00030, 0.00626, 0.01256, 0.01355, 0.01355, 0.01354, 0.01355, 0.01355, 0.01284, 0.00633, 0.00094, 0.00105, 0.00107, 0.00105, 0.00094, 0.00633, 0.01354, 0.01354, 0.01353, 0.01354, 0.01354, 0.00279, 0.00279, 0.00245, 0.00231, 0.00245, 0.00279, 0.00314, 0.00328, 0.00314, 0.00279, 0.00242, + 0.00208, 0.00187, 0.00179, 0.00186, 0.00208, 0.00240, 0.00279, 0.00317, 0.00350, 0.00372, 0.00380, 0.00373, 0.00350, 0.00319, 0.00279, 0.00230, 0.00186, 0.00151, 0.00128, 0.00120, 0.00128, 0.00151, 0.00186, 0.00230, 0.00279, 0.00329, 0.00373, 0.00408, 0.00431, 0.00439, 0.00431, 0.00408, 0.00373, 0.00329, 0.00279, 0.00220, 0.00164, 0.00116, 0.00080, 0.00057, 0.00049, + 0.00057, 0.00080, 0.00116, 0.00164, 0.00220, 0.00279, 0.00339, 0.00395, 0.00443, 0.00480, 0.00504, 0.00512, 0.00504, 0.00480, 0.00443, 0.00395, 0.00339, 0.00280, 0.00195, 0.00116, 0.00048, 0.00006, 0.00008, 0.00009, 0.00008, 0.00006, 0.00048, 0.00116, 0.00195, 0.00280, 0.00365, 0.00444, 0.00513, 0.00565, 0.00598, 0.00610, 0.00598, 0.00565, 0.00513, 0.00444, 0.00365, + 0.00280, 0.00158, 0.00044, 0.00012, 0.00016, 0.00018, 0.00019, 0.00018, 0.00016, 18.22894, 0.00044, 0.00158, 0.00280, 0.00403, 0.00519, 0.00610, 0.00609, 0.00609, 0.00609, 0.00609, 0.00609, 0.00610, 0.00519, 0.00403, 0.00281, 0.00013, 0.00025, 0.00033, 0.00035, 0.00033, 0.00025, 0.00014, 0.00281, 0.00565, 0.00609, 0.00609, 0.00609, 0.00609, 0.00609, 0.00577, 0.00285, + 0.00042, 0.00047, 0.00048, 0.00047, 0.00042, 0.00285, 0.00609, 0.00608, 0.00608, 0.00608, 0.00609, 0.00022, 0.00022, 0.00023, 0.00023, 0.00023, 0.00022, 0.00021, 0.00021, 0.00021, 0.00022, 0.00023, 0.00024, 0.00025, 0.00026, 0.00025, 0.00024, 0.00023, 0.00022, 0.00021, 0.00020, 0.00020, 0.00020, 0.00020, 0.00020, 0.00021, 0.00022, 0.00024, 0.00026, 0.00028, 0.00029, + 0.00030, 0.00029, 0.00028, 0.00026, 0.00024, 0.00022, 0.00021, 0.00020, 0.00020, 0.00020, 0.00020, 0.00020, 0.00020, 0.00020, 0.00021, 0.00023, 0.00025, 0.00028, 0.00031, 0.00034, 0.00036, 0.00037, 0.00036, 0.00034, 0.00031, 0.00028, 0.00025, 0.00023, 0.00021, 0.00020, 0.00020, 0.00021, 0.00021, 0.00021, 0.00021, 0.00021, 0.00020, 0.00020, 0.00021, 0.00024, 0.00030, + 0.00036, 0.00043, 0.00054, 0.00074, 0.00081, 0.00074, 0.00054, 0.00043, 0.00036, 0.00030, 0.00024, 0.00021, 0.00021, 0.00021, 0.00023, 0.00024, 0.00025, 0.00024, 0.00023, 0.00021, 0.00021, 0.00021, 0.00029, 0.00042, 0.00060, 0.00103, 0.00140, 0.00163, 0.00171, 0.00163, 0.00140, 0.00103, 19.07049, 0.00042, 0.00029, 0.00023, 0.00022, 0.00024, 0.00023, 0.00022, 0.00021, + 0.00022, 0.00023, 0.00024, 0.00022, 0.00023, 0.00040, 0.00112, 0.00225, 0.00291, 0.00316, 0.00293, 0.00225, 0.00120, 0.00040, 0.00023, 0.00020, 0.00018, 0.00017, 0.00018, 0.00020, 0.00023, 0.00069, 0.00366, 0.00367, 0.00367, 0.00367, 0.00366, 0.00069, 0.00016, 0.00014, 0.00014, 0.00014, 0.00016, 0.00089, 0.00089, 0.00094, 0.00096, 0.00094, 0.00089, 0.00086, 0.00085, + 0.00086, 0.00089, 0.00095, 0.00100, 0.00105, 0.00106, 0.00105, 0.00100, 0.00095, 0.00089, 0.00086, 0.00083, 0.00082, 0.00082, 0.00082, 0.00083, 0.00086, 0.00090, 0.00097, 0.00106, 0.00114, 0.00120, 0.00122, 0.00120, 0.00114, 0.00106, 0.00097, 0.00090, 0.00085, 0.00083, 0.00082, 0.00082, 0.00083, 0.00082, 0.00082, 0.00083, 0.00085, 0.00093, 0.00103, 0.00116, 0.00130, + 0.00142, 0.00150, 0.00153, 0.00150, 0.00142, 0.00130, 0.00116, 0.00103, 0.00093, 0.00086, 0.00083, 0.00083, 0.00085, 0.00087, 0.00087, 0.00087, 0.00085, 0.00083, 0.00083, 0.00086, 0.00101, 0.00122, 0.00149, 0.00178, 0.00222, 0.00304, 0.00332, 0.00304, 0.00222, 0.00178, 0.00149, 0.00122, 0.00101, 0.00089, 0.00085, 0.00088, 0.00094, 0.00100, 0.00102, 0.00100, 0.00094, + 0.00088, 0.00085, 0.00089, 0.00121, 0.00174, 0.00246, 0.00424, 0.00576, 0.00671, 0.00704, 0.00671, 0.00576, 0.00424, 0.00246, 15.20089, 0.00121, 0.00093, 0.00089, 0.00101, 0.00093, 0.00089, 0.00087, 0.00089, 0.00093, 0.00101, 0.00089, 0.00093, 0.00167, 0.00463, 0.00925, 0.01199, 0.01301, 0.01207, 0.00925, 0.00494, 0.00167, 0.00094, 0.00084, 0.00074, 0.00072, 0.00074, + 0.00084, 0.00096, 0.00284, 0.01509, 0.01510, 0.01510, 0.01510, 0.01509, 0.00284, 0.00066, 0.00059, 0.00057, 0.00059, 0.00066, 0.00162, 0.00162, 0.00171, 0.00175, 0.00171, 0.00162, 0.00156, 0.00154, 0.00156, 0.00162, 0.00171, 0.00182, 0.00189, 0.00192, 0.00190, 0.00182, 0.00172, 0.00162, 0.00155, 0.00151, 0.00150, 0.00149, 0.00149, 0.00151, 0.00155, 0.00163, 0.00176, + 0.00192, 0.00207, 0.00217, 0.00221, 0.00217, 0.00207, 0.00192, 0.00176, 0.00163, 0.00154, 0.00150, 0.00149, 0.00149, 0.00150, 0.00149, 0.00149, 0.00150, 0.00154, 0.00168, 0.00187, 0.00210, 0.00235, 0.00257, 0.00272, 0.00277, 0.00272, 0.00257, 0.00235, 0.00210, 0.00187, 0.00168, 0.00156, 0.00151, 0.00151, 0.00154, 0.00157, 0.00159, 0.00157, 0.00154, 0.00151, 0.00151, + 0.00156, 0.00183, 0.00220, 0.00270, 0.00323, 0.00403, 0.00552, 0.00602, 0.00552, 0.00403, 0.00323, 0.00270, 0.00220, 0.00183, 0.00160, 0.00154, 0.00159, 0.00171, 0.00181, 0.00184, 0.00181, 0.00171, 0.00159, 0.00154, 0.00160, 0.00219, 0.00316, 0.00447, 0.00769, 0.01044, 0.01217, 0.01276, 0.01217, 0.01044, 0.00769, 0.00447, 0.00316, 11.04752, 0.00168, 0.00162, 0.00183, + 0.00169, 0.00161, 0.00158, 0.00161, 0.00169, 0.00183, 0.00162, 0.00168, 0.00302, 0.00839, 0.01676, 0.02173, 0.02358, 0.02188, 0.01676, 0.00895, 0.00302, 0.00171, 0.00152, 0.00135, 0.00130, 0.00134, 0.00152, 0.00174, 0.00515, 0.02735, 0.02736, 0.02736, 0.02736, 0.02735, 0.00515, 0.00120, 0.00107, 0.00103, 0.00107, 0.00120, 0.00235, 0.00235, 0.00247, 0.00253, 0.00247, + 0.00235, 0.00226, 0.00223, 0.00226, 0.00235, 0.00248, 0.00263, 0.00274, 0.00279, 0.00275, 0.00263, 0.00249, 0.00235, 0.00225, 0.00219, 0.00217, 0.00216, 0.00216, 0.00219, 0.00224, 0.00236, 0.00255, 0.00278, 0.00299, 0.00315, 0.00320, 0.00315, 0.00299, 0.00278, 0.00255, 0.00236, 0.00224, 0.00217, 0.00216, 0.00216, 0.00217, 0.00216, 0.00216, 0.00217, 0.00224, 0.00244, + 0.00271, 0.00304, 0.00340, 0.00372, 0.00394, 0.00401, 0.00394, 0.00372, 0.00340, 0.00304, 0.00271, 0.00244, 0.00226, 0.00219, 0.00219, 0.00223, 0.00228, 0.00230, 0.00228, 0.00223, 0.00219, 0.00219, 0.00226, 0.00264, 0.00319, 0.00391, 0.00468, 0.00584, 0.00799, 0.00871, 0.00799, 0.00584, 0.00468, 0.00391, 0.00319, 0.00264, 0.00232, 0.00223, 0.00231, 0.00247, 0.00262, + 0.00267, 0.00262, 0.00247, 0.00231, 0.00223, 0.00232, 0.00317, 0.00457, 0.00647, 0.01114, 0.01512, 0.01763, 0.01848, 0.01763, 0.01512, 0.01114, 0.00647, 0.00457, 0.00317, 6.89394, 0.00234, 0.00264, 0.00245, 0.00233, 0.00229, 0.00233, 0.00245, 0.00264, 0.00234, 0.00244, 0.00437, 0.01214, 0.02428, 0.03147, 0.03415, 0.03170, 0.02428, 0.01296, 0.00437, 0.00247, 0.00220, + 0.00195, 0.00189, 0.00194, 0.00220, 0.00253, 0.00746, 0.03960, 0.03963, 0.03963, 0.03963, 0.03960, 0.00746, 0.00174, 0.00155, 0.00150, 0.00155, 0.00174, 0.00303, 0.00303, 0.00318, 0.00326, 0.00318, 0.00303, 0.00291, 0.00287, 0.00291, 0.00303, 0.00320, 0.00339, 0.00353, 0.00359, 0.00354, 0.00339, 0.00321, 0.00303, 0.00290, 0.00282, 0.00279, 0.00278, 0.00279, 0.00282, + 0.00289, 0.00305, 0.00329, 0.00358, 0.00386, 0.00405, 0.00412, 0.00405, 0.00386, 0.00358, 0.00329, 0.00305, 0.00288, 0.00280, 0.00278, 0.00279, 0.00280, 0.00279, 0.00278, 0.00280, 0.00288, 0.00314, 0.00349, 0.00392, 0.00438, 0.00479, 0.00507, 0.00517, 0.00507, 0.00479, 0.00438, 0.00392, 0.00349, 0.00314, 0.00291, 0.00282, 0.00282, 0.00288, 0.00293, 0.00296, 0.00293, + 0.00288, 0.00282, 0.00282, 0.00291, 0.00341, 0.00411, 0.00504, 0.00603, 0.00752, 0.01029, 0.01123, 0.01029, 0.00752, 0.00603, 0.00504, 0.00411, 0.00341, 0.00299, 0.00287, 0.00297, 0.00319, 0.00337, 0.00344, 0.00337, 0.00319, 0.00297, 0.00287, 0.00299, 0.00409, 0.00589, 0.00834, 0.01436, 0.01949, 0.02271, 0.02381, 0.02271, 0.01949, 0.01436, 0.00834, 0.00589, 0.00409, + 0.00314, 3.02378, 0.00341, 0.00316, 0.00300, 0.00295, 0.00300, 0.00316, 0.00341, 0.00302, 0.00314, 0.00563, 0.01565, 0.03128, 0.04055, 0.04400, 0.04084, 0.03128, 0.01669, 0.00563, 0.00318, 0.00283, 0.00251, 0.00243, 0.00250, 0.00283, 0.00325, 0.00961, 0.05103, 0.05106, 0.05106, 0.05106, 0.05103, 0.00961, 0.00224, 0.00199, 0.00193, 0.00199, 0.00224, 0.00355, 0.00355, + 0.00373, 0.00382, 0.00373, 0.00355, 0.00341, 0.00336, 0.00341, 0.00355, 0.00375, 0.00398, 0.00415, 0.00421, 0.00415, 0.00398, 0.00376, 0.00355, 0.00339, 0.00330, 0.00327, 0.00326, 0.00327, 0.00330, 0.00339, 0.00357, 0.00386, 0.00420, 0.00452, 0.00476, 0.00484, 0.00476, 0.00452, 0.00420, 0.00386, 0.00357, 0.00338, 0.00328, 0.00326, 0.00327, 0.00327, 0.00327, 0.00326, + 0.00328, 0.00338, 0.00368, 0.00409, 0.00460, 0.00515, 0.00563, 0.00596, 0.00607, 0.00596, 0.00563, 0.00515, 0.00460, 0.00409, 0.00368, 0.00341, 0.00330, 0.00330, 0.00337, 0.00343, 0.00346, 0.00343, 0.00337, 0.00330, 0.00330, 0.00341, 0.00400, 0.00483, 0.00591, 0.00708, 0.00883, 0.01209, 0.01319, 0.01209, 0.00883, 0.00708, 0.00591, 0.00483, 0.00400, 0.00351, 0.00337, + 0.00348, 0.00373, 0.00395, 0.00402, 0.00395, 0.00373, 0.00348, 0.00337, 0.00351, 0.00480, 0.00692, 0.00979, 0.01687, 0.02297, 0.02678, 0.02809, 0.02678, 0.02297, 0.01687, 0.00979, 0.00692, 0.00480, 0.00368, 0.00353, 0.00399, 0.00370, 0.00351, 0.00345, 0.00351, 0.00370, 0.00399, 0.00353, 0.00368, 0.00661, 0.01838, 0.03691, 0.04772, 0.05174, 0.04805, 0.03691, 0.01961, + 0.00661, 0.00373, 0.00331, 0.00294, 0.00284, 0.00293, 0.00331, 0.00381, 0.01128, 0.05970, 0.05861, 0.05821, 0.05861, 0.05970, 0.01128, 0.00262, 0.00233, 0.00225, 0.00233, 0.00262, 0.00349, 0.00349, 0.00368, 0.00377, 0.00368, 0.00349, 0.00334, 0.00329, 0.00334, 0.00349, 0.00370, 0.00394, 0.00411, 0.00418, 0.00411, 0.00394, 0.00371, 0.00349, 0.00333, 0.00323, 0.00319, + 0.00318, 0.00319, 0.00323, 0.00332, 0.00351, 0.00381, 0.00416, 0.00449, 0.00473, 0.00482, 0.00473, 0.00449, 0.00416, 0.00381, 0.00351, 0.00331, 0.00320, 0.00317, 0.00317, 0.00318, 0.00317, 0.00317, 0.00320, 0.00331, 0.00362, 0.00404, 0.00457, 0.00512, 0.00561, 0.00594, 0.00606, 0.00594, 0.00561, 0.00512, 0.00457, 0.00404, 0.00362, 0.00334, 0.00321, 0.00321, 0.00326, + 0.00333, 0.00335, 0.00333, 0.00326, 0.00321, 0.00321, 0.00334, 0.00394, 0.00479, 0.00589, 0.00707, 0.00883, 0.01209, 0.01319, 0.01209, 0.00883, 0.00707, 0.00589, 0.00479, 0.00394, 0.00343, 0.00327, 0.00337, 0.00361, 0.00382, 0.00389, 0.00382, 0.00361, 0.00337, 0.00327, 0.00343, 0.00474, 0.00688, 0.00978, 0.01695, 0.02361, 0.02768, 0.02905, 0.02768, 0.02361, 0.01695, + 0.00978, 0.00688, 0.00474, 0.00359, 0.00342, 0.00386, 0.00357, 0.00338, 0.00332, 0.00338, 0.00357, 0.00386, 0.00342, 0.00359, 0.00655, 0.01838, 0.03826, 0.04843, 0.05222, 0.04875, 0.03826, 0.01961, 0.00655, 0.00361, 0.00318, 0.00281, 0.00271, 0.00279, 0.00318, 0.00369, 0.01122, 0.05763, 0.04712, 0.04327, 0.04712, 0.05763, 0.01122, 0.00250, 0.00222, 0.00215, 0.00222, + 0.00250, 0.00345, 0.00345, 0.00365, 0.00374, 0.00365, 0.00345, 0.00330, 0.00325, 0.00330, 0.00345, 0.00367, 0.00391, 0.00408, 0.00415, 0.00409, 0.00391, 0.00368, 0.00345, 0.00329, 0.00318, 0.00314, 0.00313, 0.00314, 0.00318, 0.00328, 0.00348, 0.00378, 0.00414, 0.00447, 0.00471, 0.00480, 0.00471, 0.00447, 0.00414, 0.00378, 0.00348, 0.00326, 0.00315, 0.00311, 0.00312, + 0.00312, 0.00312, 0.00311, 0.00315, 0.00326, 0.00358, 0.00401, 0.00455, 0.00511, 0.00560, 0.00594, 0.00606, 0.00594, 0.00560, 0.00511, 0.00455, 0.00401, 0.00358, 0.00330, 0.00316, 0.00315, 0.00320, 0.00326, 0.00329, 0.00326, 0.00320, 0.00315, 0.00316, 0.00330, 0.00390, 0.00476, 0.00587, 0.00707, 0.00883, 0.01209, 0.01319, 0.01209, 0.00883, 0.00707, 0.00587, 0.00476, + 0.00390, 0.00338, 0.00321, 0.00330, 0.00353, 0.00374, 0.00381, 0.00374, 0.00353, 0.00330, 0.00321, 0.00338, 0.00470, 0.00686, 0.00978, 0.01700, 0.02401, 0.02824, 0.02966, 0.02824, 0.02401, 0.01700, 0.00978, 0.00686, 0.00470, 0.00354, 0.00335, 0.00378, 0.00349, 0.00330, 0.00324, 0.00330, 0.00349, 0.00378, 0.00335, 0.00354, 0.00651, 0.01838, 0.03911, 0.04888, 0.05252, + 0.04919, 0.03911, 0.01960, 0.00651, 0.00353, 0.00310, 0.00272, 0.00263, 0.00271, 0.00310, 0.00361, 0.01118, 0.05634, 0.03990, 0.03388, 0.03990, 0.05634, 0.01118, 0.00243, 0.00215, 0.00208, 0.00215, 0.00243, 0.00344, 0.00344, 0.00364, 0.00373, 0.00364, 0.00344, 0.00328, 0.00323, 0.00328, 0.00344, 0.00366, 0.00390, 0.00407, 0.00414, 0.00408, 0.00390, 0.00367, 0.00344, + 0.00327, 0.00317, 0.00312, 0.00311, 0.00312, 0.00317, 0.00326, 0.00346, 0.00377, 0.00413, 0.00447, 0.00471, 0.00480, 0.00471, 0.00447, 0.00413, 0.00377, 0.00346, 0.00325, 0.00313, 0.00310, 0.00310, 0.00310, 0.00310, 0.00310, 0.00313, 0.00325, 0.00357, 0.00400, 0.00454, 0.00510, 0.00560, 0.00593, 0.00605, 0.00593, 0.00560, 0.00510, 0.00454, 0.00400, 0.00357, 0.00328, + 0.00314, 0.00313, 0.00318, 0.00324, 0.00326, 0.00324, 0.00318, 0.00313, 0.00314, 0.00328, 0.00389, 0.00475, 0.00587, 0.00706, 0.00883, 0.01209, 0.01318, 0.01209, 0.00883, 0.00706, 0.00587, 0.00475, 0.00389, 0.00337, 0.00319, 0.00328, 0.00351, 0.00371, 0.00378, 0.00371, 0.00351, 0.00328, 0.00319, 0.00337, 0.00469, 0.00686, 0.00977, 0.01702, 0.02414, 0.02844, 0.02987, + 0.02844, 0.02414, 0.01702, 0.00977, 0.00686, 0.00469, 0.00352, 0.00333, 0.00375, 0.00346, 0.00328, 0.00321, 0.00328, 0.00346, 0.00375, 0.00333, 0.00352, 0.00650, 0.01838, 0.03940, 0.04903, 0.05262, 0.04933, 0.03940, 0.01960, 0.00650, 0.00350, 0.00307, 0.00270, 0.00260, 0.00268, 0.00307, 0.00358, 0.01117, 0.05589, 0.03744, 0.03067, 0.03744, 0.05589, 0.01117, 0.00240, + 0.00213, 0.00205, 0.00213, 0.00240, 0.00345, 0.00345, 0.00365, 0.00374, 0.00365, 0.00345, 0.00330, 0.00325, 0.00330, 0.00345, 0.00367, 0.00391, 0.00408, 0.00415, 0.00409, 0.00391, 0.00368, 0.00345, 0.00329, 0.00318, 0.00314, 0.00313, 0.00314, 0.00318, 0.00328, 0.00348, 0.00378, 0.00414, 0.00447, 0.00471, 0.00480, 0.00471, 0.00447, 0.00414, 0.00378, 0.00348, 0.00326, + 0.00315, 0.00311, 0.00312, 0.00312, 0.00312, 0.00311, 0.00315, 0.00326, 0.00358, 0.00401, 0.00455, 0.00511, 0.00560, 0.00594, 0.00606, 0.00594, 0.00560, 0.00511, 0.00455, 0.00401, 0.00358, 0.00330, 0.00316, 0.00315, 0.00320, 0.00326, 0.00329, 0.00326, 0.00320, 0.00315, 0.00316, 0.00330, 0.00390, 0.00476, 0.00587, 0.00707, 0.00883, 0.01209, 0.01319, 0.01209, 0.00883, + 0.00707, 0.00587, 0.00476, 0.00390, 0.00338, 0.00321, 0.00330, 0.00353, 0.00374, 0.00381, 0.00374, 0.00353, 0.00330, 0.00321, 0.00338, 0.00470, 0.00686, 0.00978, 0.01700, 0.02401, 0.02824, 0.02966, 0.02824, 0.02401, 0.01700, 0.00978, 0.00686, 0.00470, 0.00354, 0.00335, 0.00378, 0.00349, 0.00330, 0.00324, 0.00330, 0.00349, 0.00378, 0.00335, 0.00354, 0.00651, 0.01838, + 0.03911, 0.04888, 0.05252, 0.04919, 0.03911, 0.01960, 0.00651, 0.00353, 0.00310, 0.00272, 0.00263, 0.00271, 0.00310, 0.00361, 0.01118, 0.05634, 0.03990, 0.03388, 0.03990, 0.05634, 0.01118, 0.00243, 0.00215, 0.00208, 0.00215, 0.00243, 0.00349, 0.00349, 0.00368, 0.00377, 0.00368, 0.00349, 0.00334, 0.00329, 0.00334, 0.00349, 0.00370, 0.00394, 0.00411, 0.00418, 0.00411, + 0.00394, 0.00371, 0.00349, 0.00333, 0.00323, 0.00319, 0.00318, 0.00319, 0.00323, 0.00332, 0.00351, 0.00381, 0.00416, 0.00449, 0.00473, 0.00482, 0.00473, 0.00449, 0.00416, 0.00381, 0.00351, 0.00331, 0.00320, 0.00317, 0.00317, 0.00318, 0.00317, 0.00317, 0.00320, 0.00331, 0.00362, 0.00404, 0.00457, 0.00512, 0.00561, 0.00594, 0.00606, 0.00594, 0.00561, 0.00512, 0.00457, + 0.00404, 0.00362, 0.00334, 0.00321, 0.00321, 0.00326, 0.00333, 0.00335, 0.00333, 0.00326, 0.00321, 0.00321, 0.00334, 0.00394, 0.00479, 0.00589, 0.00707, 0.00883, 0.01209, 0.01319, 0.01209, 0.00883, 0.00707, 0.00589, 0.00479, 0.00394, 0.00343, 0.00327, 0.00337, 0.00361, 0.00382, 0.00389, 0.00382, 0.00361, 0.00337, 0.00327, 0.00343, 0.00474, 0.00688, 0.00978, 0.01695, + 0.02361, 0.02768, 0.02905, 0.02768, 0.02361, 0.01695, 0.00978, 0.00688, 0.00474, 0.00359, 0.00342, 0.00386, 0.00357, 0.00338, 0.00332, 0.00338, 0.00357, 0.00386, 0.00342, 0.00359, 0.00655, 0.01838, 0.03826, 0.04843, 0.05222, 0.04875, 0.03826, 0.01961, 0.00655, 0.00361, 0.00318, 0.00281, 0.00271, 0.00279, 0.00318, 0.00369, 0.01122, 0.05763, 0.04712, 0.04327, 0.04712, + 0.05763, 0.01122, 0.00250, 0.00222, 0.00215, 0.00222, 0.00250, 0.00355, 0.00355, 0.00373, 0.00382, 0.00373, 0.00355, 0.00341, 0.00336, 0.00341, 0.00355, 0.00375, 0.00398, 0.00415, 0.00421, 0.00415, 0.00398, 0.00376, 0.00355, 0.00339, 0.00330, 0.00327, 0.00326, 0.00327, 0.00330, 0.00339, 0.00357, 0.00386, 0.00420, 0.00452, 0.00476, 0.00484, 0.00476, 0.00452, 0.00420, + 0.00386, 0.00357, 0.00338, 0.00328, 0.00326, 0.00327, 0.00327, 0.00327, 0.00326, 0.00328, 0.00338, 0.00368, 0.00409, 0.00460, 0.00515, 0.00563, 0.00596, 0.00607, 0.00596, 0.00563, 0.00515, 0.00460, 0.00409, 0.00368, 0.00341, 0.00330, 0.00330, 0.00337, 0.00343, 0.00346, 0.00343, 0.00337, 0.00330, 0.00330, 0.00341, 0.00400, 0.00483, 0.00591, 0.00708, 0.00883, 0.01209, + 0.01319, 0.01209, 0.00883, 0.00708, 0.00591, 0.00483, 0.00400, 0.00351, 0.00337, 0.00348, 0.00373, 0.00395, 0.00402, 0.00395, 0.00373, 0.00348, 0.00337, 0.00351, 0.00480, 0.00692, 0.00979, 0.01687, 0.02297, 0.02678, 0.02809, 0.02678, 0.02297, 0.01687, 0.00979, 0.00692, 0.00480, 0.00368, 0.00353, 0.00399, 0.00370, 0.00351, 0.00345, 0.00351, 0.00370, 0.00399, 0.00353, + 0.00368, 0.00661, 0.01838, 0.03691, 0.04772, 0.05174, 0.04805, 0.03691, 0.01961, 0.00661, 0.00373, 0.00331, 0.00294, 0.00284, 0.00293, 0.00331, 0.00381, 0.01128, 0.05970, 0.05861, 0.05821, 0.05861, 0.05970, 0.01128, 0.00262, 0.00233, 0.00225, 0.00233, 0.00262, 0.00303, 0.00303, 0.00318, 0.00326, 0.00318, 0.00303, 0.00291, 0.00287, 0.00291, 0.00303, 0.00320, 0.00339, + 0.00353, 0.00359, 0.00354, 0.00339, 0.00321, 0.00303, 0.00290, 0.00282, 0.00279, 0.00278, 0.00279, 0.00282, 0.00289, 0.00305, 0.00329, 0.00358, 0.00386, 0.00405, 0.00412, 0.00405, 0.00386, 0.00358, 0.00329, 0.00305, 0.00288, 0.00280, 0.00278, 0.00279, 0.00280, 0.00279, 0.00278, 0.00280, 0.00288, 0.00314, 0.00349, 0.00392, 0.00438, 0.00479, 0.00507, 0.00517, 0.00507, + 0.00479, 0.00438, 0.00392, 0.00349, 0.00314, 0.00291, 0.00282, 0.00282, 0.00288, 0.00293, 0.00296, 0.00293, 0.00288, 0.00282, 0.00282, 0.00291, 0.00341, 0.00411, 0.00504, 0.00603, 0.00752, 0.01029, 0.01123, 0.01029, 0.00752, 0.00603, 0.00504, 0.00411, 0.00341, 0.00299, 0.00287, 0.00297, 0.00319, 0.00337, 0.00344, 0.00337, 0.00319, 0.00297, 0.00287, 0.00299, 0.00409, + 0.00589, 0.00834, 0.01436, 0.01949, 0.02271, 0.02381, 0.02271, 0.01949, 0.01436, 0.00834, 0.00589, 0.00409, 0.00314, 0.00302, 0.00341, 0.00316, 0.00300, 0.00295, 0.00300, 0.00316, 0.00341, 3.02378, 0.00314, 0.00563, 0.01565, 0.03128, 0.04055, 0.04400, 0.04084, 0.03128, 0.01669, 0.00563, 0.00318, 0.00283, 0.00251, 0.00243, 0.00250, 0.00283, 0.00325, 0.00961, 0.05103, + 0.05106, 0.05106, 0.05106, 0.05103, 0.00961, 0.00224, 0.00199, 0.00193, 0.00199, 0.00224, 0.00235, 0.00235, 0.00247, 0.00253, 0.00247, 0.00235, 0.00226, 0.00223, 0.00226, 0.00235, 0.00248, 0.00263, 0.00274, 0.00279, 0.00275, 0.00263, 0.00249, 0.00235, 0.00225, 0.00219, 0.00217, 0.00216, 0.00216, 0.00219, 0.00224, 0.00236, 0.00255, 0.00278, 0.00299, 0.00315, 0.00320, + 0.00315, 0.00299, 0.00278, 0.00255, 0.00236, 0.00224, 0.00217, 0.00216, 0.00216, 0.00217, 0.00216, 0.00216, 0.00217, 0.00224, 0.00244, 0.00271, 0.00304, 0.00340, 0.00372, 0.00394, 0.00401, 0.00394, 0.00372, 0.00340, 0.00304, 0.00271, 0.00244, 0.00226, 0.00219, 0.00219, 0.00223, 0.00228, 0.00230, 0.00228, 0.00223, 0.00219, 0.00219, 0.00226, 0.00264, 0.00319, 0.00391, + 0.00468, 0.00584, 0.00799, 0.00871, 0.00799, 0.00584, 0.00468, 0.00391, 0.00319, 0.00264, 0.00232, 0.00223, 0.00231, 0.00247, 0.00262, 0.00267, 0.00262, 0.00247, 0.00231, 0.00223, 0.00232, 0.00317, 0.00457, 0.00647, 0.01114, 0.01512, 0.01763, 0.01848, 0.01763, 0.01512, 0.01114, 0.00647, 0.00457, 0.00317, 0.00244, 0.00234, 0.00264, 0.00245, 0.00233, 0.00229, 0.00233, + 0.00245, 0.00264, 0.00234, 6.89394, 0.00437, 0.01214, 0.02428, 0.03147, 0.03415, 0.03170, 0.02428, 0.01296, 0.00437, 0.00247, 0.00220, 0.00195, 0.00189, 0.00194, 0.00220, 0.00253, 0.00746, 0.03960, 0.03963, 0.03963, 0.03963, 0.03960, 0.00746, 0.00174, 0.00155, 0.00150, 0.00155, 0.00174, 0.00121, 0.00121, 0.00127, 0.00131, 0.00127, 0.00121, 0.00116, 0.00115, 0.00116, + 0.00121, 0.00128, 0.00136, 0.00142, 0.00144, 0.00142, 0.00136, 0.00129, 0.00121, 0.00116, 0.00113, 0.00111, 0.00111, 0.00111, 0.00113, 0.00116, 0.00122, 0.00132, 0.00144, 0.00155, 0.00163, 0.00166, 0.00163, 0.00155, 0.00144, 0.00132, 0.00122, 0.00115, 0.00112, 0.00111, 0.00111, 0.00112, 0.00111, 0.00111, 0.00112, 0.00115, 0.00126, 0.00140, 0.00157, 0.00176, 0.00193, + 0.00204, 0.00208, 0.00204, 0.00193, 0.00176, 0.00157, 0.00140, 0.00126, 0.00117, 0.00113, 0.00113, 0.00115, 0.00117, 0.00118, 0.00117, 0.00115, 0.00113, 0.00113, 0.00117, 0.00136, 0.00165, 0.00202, 0.00242, 0.00302, 0.00412, 0.00450, 0.00412, 0.00302, 0.00242, 0.00202, 0.00165, 0.00136, 0.00120, 0.00115, 0.00119, 0.00127, 0.00135, 0.00137, 0.00135, 0.00127, 0.00119, + 0.00115, 0.00120, 0.00164, 0.00237, 0.00335, 0.00575, 0.00779, 0.00907, 0.00951, 0.00907, 0.00779, 0.00575, 0.00335, 0.00237, 0.00164, 0.00125, 0.00120, 0.00136, 0.00126, 0.00120, 0.00118, 0.00120, 0.00126, 0.00136, 0.00120, 0.00125, 7.37561, 0.00628, 0.01249, 0.01617, 0.01754, 0.01628, 0.01249, 0.00670, 0.00226, 0.00127, 0.00113, 0.00100, 0.00097, 0.00100, 0.00113, + 0.00130, 0.00384, 0.02033, 0.02034, 0.02034, 0.02034, 0.02033, 0.00384, 0.00089, 0.00079, 0.00077, 0.00079, 0.00089, 0.00027, 0.00027, 0.00024, 0.00022, 0.00024, 0.00027, 0.00030, 0.00032, 0.00030, 0.00027, 0.00023, 0.00020, 0.00018, 0.00017, 0.00018, 0.00020, 0.00023, 0.00027, 0.00031, 0.00034, 0.00036, 0.00037, 0.00036, 0.00034, 0.00031, 0.00027, 0.00022, 0.00018, + 0.00015, 0.00012, 0.00012, 0.00012, 0.00015, 0.00018, 0.00022, 0.00027, 0.00032, 0.00036, 0.00039, 0.00042, 0.00042, 0.00042, 0.00039, 0.00036, 0.00032, 0.00027, 0.00021, 0.00016, 0.00011, 0.00008, 0.00005, 0.00005, 0.00005, 0.00008, 0.00011, 0.00016, 0.00021, 0.00027, 0.00033, 0.00038, 0.00043, 0.00046, 0.00049, 0.00049, 0.00049, 0.00046, 0.00043, 0.00038, 0.00033, + 0.00027, 0.00019, 0.00011, 0.00005, 0.00001, 0.00001, 0.00001, 0.00001, 0.00001, 0.00005, 0.00011, 0.00019, 0.00027, 0.00035, 0.00043, 0.00050, 0.00055, 0.00058, 0.00059, 0.00058, 0.00055, 0.00050, 0.00043, 0.00035, 0.00027, 0.00015, 0.00004, 0.00001, 0.00002, 0.00002, 0.00002, 0.00002, 0.00002, 0.00001, 0.00004, 0.00015, 0.00027, 0.00039, 0.00050, 0.00059, 0.00059, + 0.00059, 0.00059, 0.00059, 0.00059, 0.00059, 0.00050, 0.00039, 0.00027, 13.37813, 0.00002, 0.00003, 0.00003, 0.00003, 0.00002, 0.00001, 0.00027, 0.00055, 0.00059, 0.00059, 0.00059, 0.00059, 0.00059, 0.00056, 0.00028, 0.00004, 0.00005, 0.00005, 0.00005, 0.00004, 0.00028, 0.00059, 0.00059, 0.00059, 0.00059, 0.00059, 0.00871, 0.00871, 0.00764, 0.00719, 0.00764, 0.00871, + 0.00978, 0.01023, 0.00978, 0.00871, 0.00754, 0.00650, 0.00583, 0.00558, 0.00581, 0.00650, 0.00749, 0.00871, 0.00988, 0.01092, 0.01159, 0.01184, 0.01161, 0.01092, 0.00993, 0.00871, 0.00718, 0.00579, 0.00470, 0.00400, 0.00375, 0.00400, 0.00470, 0.00579, 0.00718, 0.00871, 0.01024, 0.01163, 0.01273, 0.01344, 0.01368, 0.01344, 0.01273, 0.01163, 0.01024, 0.00871, 0.00685, + 0.00511, 0.00362, 0.00248, 0.00177, 0.00152, 0.00177, 0.00248, 0.00362, 0.00511, 0.00685, 0.00871, 0.01058, 0.01232, 0.01382, 0.01498, 0.01570, 0.01595, 0.01570, 0.01498, 0.01382, 0.01232, 0.01058, 0.00872, 0.00607, 0.00362, 0.00151, 0.00019, 0.00026, 0.00029, 0.00026, 0.00019, 0.00151, 0.00362, 0.00607, 0.00872, 0.01137, 0.01385, 0.01598, 0.01762, 0.01865, 0.01900, + 0.01865, 0.01762, 0.01598, 0.01385, 0.01137, 0.00874, 0.00491, 0.00137, 0.00037, 0.00049, 0.00057, 0.00060, 0.00057, 0.00049, 0.00037, 0.00137, 0.00491, 0.00874, 0.01258, 0.01618, 0.01900, 0.01900, 0.01899, 0.01899, 0.01899, 0.01900, 0.01900, 0.01618, 0.01258, 0.00877, 0.00040, 7.72819, 0.00102, 0.00111, 0.00103, 0.00078, 0.00043, 0.00877, 0.01760, 0.01899, 0.01898, + 0.01898, 0.01898, 0.01899, 0.01799, 0.00888, 0.00132, 0.00148, 0.00150, 0.00148, 0.00132, 0.00888, 0.01898, 0.01897, 0.01897, 0.01897, 0.01898, 0.01412, 0.01412, 0.01238, 0.01167, 0.01238, 0.01412, 0.01586, 0.01658, 0.01586, 0.01412, 0.01222, 0.01054, 0.00946, 0.00905, 0.00942, 0.01054, 0.01214, 0.01412, 0.01603, 0.01772, 0.01880, 0.01921, 0.01884, 0.01772, 0.01611, + 0.01412, 0.01164, 0.00940, 0.00762, 0.00648, 0.00609, 0.00648, 0.00762, 0.00940, 0.01164, 0.01412, 0.01661, 0.01886, 0.02065, 0.02180, 0.02219, 0.02180, 0.02065, 0.01886, 0.01661, 0.01413, 0.01110, 0.00829, 0.00588, 0.00403, 0.00286, 0.00247, 0.00286, 0.00403, 0.00588, 0.00829, 0.01110, 0.01413, 0.01716, 0.01999, 0.02242, 0.02429, 0.02546, 0.02587, 0.02546, 0.02429, + 0.02242, 0.01999, 0.01716, 0.01414, 0.00985, 0.00587, 0.00245, 0.00031, 0.00043, 0.00047, 0.00043, 0.00031, 0.00245, 0.00587, 0.00985, 0.01414, 0.01844, 0.02246, 0.02592, 0.02858, 0.03026, 0.03082, 0.03026, 0.02858, 0.02592, 0.02246, 0.01844, 0.01417, 0.00797, 0.00222, 0.00059, 0.00079, 0.00092, 0.00097, 0.00092, 0.00079, 0.00059, 0.00222, 0.00797, 0.01417, 0.02040, + 0.02624, 0.03082, 0.03081, 0.03081, 0.03081, 0.03081, 0.03081, 0.03082, 0.02624, 0.02040, 0.01423, 0.00065, 0.00126, 4.10244, 0.00180, 0.00166, 0.00126, 0.00069, 0.01423, 0.02855, 0.03080, 0.03079, 0.03078, 0.03079, 0.03080, 0.02918, 0.01440, 0.00214, 0.00240, 0.00244, 0.00240, 0.00214, 0.01440, 0.03078, 0.03077, 0.03076, 0.03077, 0.03078, 0.01614, 0.01614, 0.01415, + 0.01333, 0.01415, 0.01614, 0.01813, 0.01895, 0.01813, 0.01614, 0.01397, 0.01204, 0.01081, 0.01035, 0.01077, 0.01204, 0.01387, 0.01614, 0.01832, 0.02025, 0.02149, 0.02195, 0.02153, 0.02025, 0.01841, 0.01614, 0.01330, 0.01074, 0.00871, 0.00741, 0.00696, 0.00741, 0.00871, 0.01074, 0.01330, 0.01614, 0.01899, 0.02156, 0.02360, 0.02491, 0.02537, 0.02491, 0.02360, 0.02156, + 0.01899, 0.01615, 0.01269, 0.00947, 0.00671, 0.00460, 0.00327, 0.00282, 0.00327, 0.00460, 0.00671, 0.00947, 0.01269, 0.01615, 0.01961, 0.02284, 0.02562, 0.02776, 0.02910, 0.02956, 0.02910, 0.02776, 0.02562, 0.02284, 0.01961, 0.01616, 0.01126, 0.00670, 0.00280, 0.00036, 0.00049, 0.00053, 0.00049, 0.00036, 0.00280, 0.00670, 0.01126, 0.01616, 0.02107, 0.02567, 0.02962, + 0.03266, 0.03458, 0.03522, 0.03458, 0.03266, 0.02962, 0.02567, 0.02107, 0.01619, 0.00911, 0.00254, 0.00068, 0.00091, 0.00105, 0.00110, 0.00105, 0.00091, 0.00068, 0.00254, 0.00911, 0.01619, 0.02332, 0.02999, 0.03523, 0.03522, 0.03521, 0.03521, 0.03521, 0.03522, 0.03523, 0.02999, 0.02332, 0.01626, 0.00074, 0.00144, 0.00189, 2.75185, 0.00190, 0.00144, 0.00079, 0.01626, + 0.03262, 0.03520, 0.03519, 0.03518, 0.03518, 0.03520, 0.03334, 0.01645, 0.00245, 0.00274, 0.00279, 0.00274, 0.00245, 0.01645, 0.03517, 0.03516, 0.03516, 0.03516, 0.03517, 0.01429, 0.01429, 0.01253, 0.01181, 0.01253, 0.01429, 0.01605, 0.01678, 0.01605, 0.01429, 0.01237, 0.01066, 0.00957, 0.00916, 0.00953, 0.01066, 0.01229, 0.01429, 0.01622, 0.01793, 0.01903, 0.01944, + 0.01906, 0.01793, 0.01630, 0.01429, 0.01178, 0.00951, 0.00771, 0.00656, 0.00616, 0.00656, 0.00771, 0.00951, 0.01178, 0.01429, 0.01681, 0.01909, 0.02090, 0.02206, 0.02246, 0.02206, 0.02090, 0.01909, 0.01681, 0.01430, 0.01124, 0.00839, 0.00595, 0.00407, 0.00290, 0.00250, 0.00290, 0.00407, 0.00595, 0.00839, 0.01124, 0.01430, 0.01736, 0.02023, 0.02269, 0.02458, 0.02577, + 0.02618, 0.02577, 0.02458, 0.02269, 0.02023, 0.01736, 0.01431, 0.00997, 0.00594, 0.00248, 0.00032, 0.00043, 0.00047, 0.00043, 0.00032, 0.00248, 0.00594, 0.00997, 0.01431, 0.01866, 0.02273, 0.02623, 0.02892, 0.03062, 0.03119, 0.03062, 0.02892, 0.02623, 0.02273, 0.01866, 0.01434, 0.00806, 0.00225, 0.00060, 0.00080, 0.00093, 0.00098, 0.00093, 0.00080, 0.00060, 0.00225, + 0.00806, 0.01434, 0.02065, 0.02656, 0.03119, 0.03118, 0.03118, 0.03118, 0.03118, 0.03118, 0.03119, 0.02656, 0.02065, 0.01440, 0.00066, 0.00128, 0.00167, 0.00182, 3.98897, 0.00128, 0.00070, 0.01440, 0.02889, 0.03117, 0.03116, 0.03115, 0.03116, 0.03117, 0.02953, 0.01457, 0.00217, 0.00243, 0.00247, 0.00243, 0.00217, 0.01457, 0.03115, 0.03113, 0.03113, 0.03113, 0.03115, + 0.00871, 0.00871, 0.00764, 0.00719, 0.00764, 0.00871, 0.00978, 0.01023, 0.00978, 0.00871, 0.00754, 0.00650, 0.00583, 0.00558, 0.00581, 0.00650, 0.00749, 0.00871, 0.00988, 0.01092, 0.01159, 0.01184, 0.01161, 0.01092, 0.00993, 0.00871, 0.00718, 0.00579, 0.00470, 0.00400, 0.00375, 0.00400, 0.00470, 0.00579, 0.00718, 0.00871, 0.01024, 0.01163, 0.01273, 0.01344, 0.01368, + 0.01344, 0.01273, 0.01163, 0.01024, 0.00871, 0.00685, 0.00511, 0.00362, 0.00248, 0.00177, 0.00152, 0.00177, 0.00248, 0.00362, 0.00511, 0.00685, 0.00871, 0.01058, 0.01232, 0.01382, 0.01498, 0.01570, 0.01595, 0.01570, 0.01498, 0.01382, 0.01232, 0.01058, 0.00872, 0.00607, 0.00362, 0.00151, 0.00019, 0.00026, 0.00029, 0.00026, 0.00019, 0.00151, 0.00362, 0.00607, 0.00872, + 0.01137, 0.01385, 0.01598, 0.01762, 0.01865, 0.01900, 0.01865, 0.01762, 0.01598, 0.01385, 0.01137, 0.00874, 0.00491, 0.00137, 0.00037, 0.00049, 0.00057, 0.00060, 0.00057, 0.00049, 0.00037, 0.00137, 0.00491, 0.00874, 0.01258, 0.01618, 0.01900, 0.01900, 0.01899, 0.01899, 0.01899, 0.01900, 0.01900, 0.01618, 0.01258, 0.00877, 0.00040, 0.00078, 0.00102, 0.00111, 0.00103, + 7.72819, 0.00043, 0.00877, 0.01760, 0.01899, 0.01898, 0.01898, 0.01898, 0.01899, 0.01799, 0.00888, 0.00132, 0.00148, 0.00150, 0.00148, 0.00132, 0.00888, 0.01898, 0.01897, 0.01897, 0.01897, 0.01898, 0.00068, 0.00068, 0.00060, 0.00056, 0.00060, 0.00068, 0.00076, 0.00080, 0.00076, 0.00068, 0.00059, 0.00051, 0.00045, 0.00044, 0.00045, 0.00051, 0.00058, 0.00068, 0.00077, + 0.00085, 0.00090, 0.00092, 0.00091, 0.00085, 0.00077, 0.00068, 0.00056, 0.00045, 0.00037, 0.00031, 0.00029, 0.00031, 0.00037, 0.00045, 0.00056, 0.00068, 0.00080, 0.00091, 0.00099, 0.00105, 0.00107, 0.00105, 0.00099, 0.00091, 0.00080, 0.00068, 0.00053, 0.00040, 0.00028, 0.00019, 0.00014, 0.00012, 0.00014, 0.00019, 0.00028, 0.00040, 0.00053, 0.00068, 0.00083, 0.00096, + 0.00108, 0.00117, 0.00122, 0.00124, 0.00122, 0.00117, 0.00108, 0.00096, 0.00083, 0.00068, 0.00047, 0.00028, 0.00012, 0.00002, 0.00002, 0.00002, 0.00002, 0.00002, 0.00012, 0.00028, 0.00047, 0.00068, 0.00089, 0.00108, 0.00125, 0.00137, 0.00145, 0.00148, 0.00145, 0.00137, 0.00125, 0.00108, 0.00089, 0.00068, 0.00038, 0.00011, 0.00003, 0.00004, 0.00004, 0.00005, 0.00004, + 0.00004, 0.00003, 0.00011, 0.00038, 0.00068, 0.00098, 0.00126, 0.00148, 0.00148, 0.00148, 0.00148, 0.00148, 0.00148, 0.00148, 0.00126, 0.00098, 0.00068, 0.00003, 0.00006, 0.00008, 0.00009, 0.00008, 0.00006, 13.10412, 0.00068, 0.00137, 0.00148, 0.00148, 0.00148, 0.00148, 0.00148, 0.00140, 0.00069, 0.00010, 0.00012, 0.00012, 0.00012, 0.00010, 0.00069, 0.00148, 0.00148, + 0.00148, 0.00148, 0.00148, 0.00121, 0.00121, 0.00127, 0.00131, 0.00127, 0.00121, 0.00116, 0.00115, 0.00116, 0.00121, 0.00128, 0.00136, 0.00142, 0.00144, 0.00142, 0.00136, 0.00129, 0.00121, 0.00116, 0.00113, 0.00111, 0.00111, 0.00111, 0.00113, 0.00116, 0.00122, 0.00132, 0.00144, 0.00155, 0.00163, 0.00166, 0.00163, 0.00155, 0.00144, 0.00132, 0.00122, 0.00115, 0.00112, + 0.00111, 0.00111, 0.00112, 0.00111, 0.00111, 0.00112, 0.00115, 0.00126, 0.00140, 0.00157, 0.00176, 0.00193, 0.00204, 0.00208, 0.00204, 0.00193, 0.00176, 0.00157, 0.00140, 0.00126, 0.00117, 0.00113, 0.00113, 0.00115, 0.00117, 0.00118, 0.00117, 0.00115, 0.00113, 0.00113, 0.00117, 0.00136, 0.00165, 0.00202, 0.00242, 0.00302, 0.00412, 0.00450, 0.00412, 0.00302, 0.00242, + 0.00202, 0.00165, 0.00136, 0.00120, 0.00115, 0.00119, 0.00127, 0.00135, 0.00137, 0.00135, 0.00127, 0.00119, 0.00115, 0.00120, 0.00164, 0.00237, 0.00335, 0.00575, 0.00779, 0.00907, 0.00951, 0.00907, 0.00779, 0.00575, 0.00335, 0.00237, 0.00164, 0.00125, 0.00120, 0.00136, 0.00126, 0.00120, 0.00118, 0.00120, 0.00126, 0.00136, 0.00120, 0.00125, 0.00226, 0.00628, 0.01249, + 0.01617, 0.01754, 0.01628, 0.01249, 0.00670, 7.37561, 0.00127, 0.00113, 0.00100, 0.00097, 0.00100, 0.00113, 0.00130, 0.00384, 0.02033, 0.02034, 0.02034, 0.02034, 0.02033, 0.00384, 0.00089, 0.00079, 0.00077, 0.00079, 0.00089, 0.00246, 0.00246, 0.00259, 0.00265, 0.00259, 0.00246, 0.00236, 0.00233, 0.00236, 0.00246, 0.00260, 0.00276, 0.00288, 0.00292, 0.00288, 0.00276, + 0.00261, 0.00246, 0.00235, 0.00229, 0.00226, 0.00226, 0.00226, 0.00229, 0.00235, 0.00248, 0.00268, 0.00291, 0.00314, 0.00330, 0.00336, 0.00330, 0.00314, 0.00291, 0.00268, 0.00248, 0.00234, 0.00227, 0.00225, 0.00226, 0.00226, 0.00226, 0.00225, 0.00227, 0.00234, 0.00255, 0.00284, 0.00319, 0.00357, 0.00391, 0.00414, 0.00422, 0.00414, 0.00391, 0.00357, 0.00319, 0.00284, + 0.00255, 0.00236, 0.00228, 0.00228, 0.00233, 0.00237, 0.00239, 0.00237, 0.00233, 0.00228, 0.00228, 0.00236, 0.00277, 0.00335, 0.00410, 0.00492, 0.00613, 0.00837, 0.00913, 0.00837, 0.00613, 0.00492, 0.00410, 0.00335, 0.00277, 0.00243, 0.00233, 0.00241, 0.00258, 0.00273, 0.00278, 0.00273, 0.00258, 0.00241, 0.00233, 0.00243, 0.00333, 0.00480, 0.00680, 0.01167, 0.01581, + 0.01841, 0.01929, 0.01841, 0.01581, 0.01167, 0.00680, 0.00480, 0.00333, 0.00255, 0.00244, 0.00276, 0.00256, 0.00243, 0.00239, 0.00243, 0.00256, 0.00276, 0.00244, 0.00255, 0.00458, 0.01274, 0.02534, 0.03280, 0.03558, 0.03304, 0.02534, 0.01359, 0.00458, 1.00963, 0.00229, 0.00203, 0.00197, 0.00203, 0.00229, 0.00263, 0.00780, 0.04124, 0.04127, 0.04127, 0.04127, 0.04124, + 0.00780, 0.00181, 0.00161, 0.00156, 0.00161, 0.00181, 0.00256, 0.00256, 0.00271, 0.00278, 0.00271, 0.00256, 0.00244, 0.00240, 0.00244, 0.00256, 0.00273, 0.00291, 0.00304, 0.00310, 0.00305, 0.00291, 0.00273, 0.00256, 0.00243, 0.00235, 0.00232, 0.00231, 0.00231, 0.00235, 0.00243, 0.00258, 0.00281, 0.00308, 0.00334, 0.00352, 0.00359, 0.00352, 0.00334, 0.00308, 0.00281, + 0.00258, 0.00241, 0.00232, 0.00229, 0.00229, 0.00229, 0.00229, 0.00229, 0.00232, 0.00241, 0.00266, 0.00299, 0.00339, 0.00382, 0.00419, 0.00445, 0.00454, 0.00445, 0.00419, 0.00382, 0.00339, 0.00299, 0.00266, 0.00244, 0.00233, 0.00231, 0.00235, 0.00239, 0.00241, 0.00239, 0.00235, 0.00231, 0.00233, 0.00244, 0.00289, 0.00355, 0.00439, 0.00530, 0.00662, 0.00904, 0.00985, + 0.00904, 0.00662, 0.00530, 0.00439, 0.00355, 0.00289, 0.00250, 0.00236, 0.00242, 0.00259, 0.00274, 0.00279, 0.00274, 0.00259, 0.00242, 0.00236, 0.00250, 0.00350, 0.00513, 0.00733, 0.01272, 0.01803, 0.02122, 0.02229, 0.02122, 0.01803, 0.01272, 0.00733, 0.00513, 0.00350, 0.00261, 0.00246, 0.00277, 0.00255, 0.00241, 0.00237, 0.00241, 0.00255, 0.00277, 0.00246, 0.00261, + 0.00485, 0.01376, 0.02956, 0.03685, 0.03942, 0.03707, 0.02956, 0.01467, 0.00485, 0.00259, 0.00226, 0.00198, 0.00190, 0.00197, 0.00226, 0.00264, 0.00833, 0.04038, 0.02159, 0.01762, 0.02159, 0.04038, 0.00833, 0.00176, 0.00155, 0.00150, 0.00155, 0.00176, 0.00253, 0.00253, 0.00269, 0.00276, 0.00269, 0.00253, 0.00241, 0.00237, 0.00241, 0.00253, 0.00270, 0.00289, 0.00302, + 0.00308, 0.00303, 0.00289, 0.00271, 0.00253, 0.00240, 0.00232, 0.00228, 0.00227, 0.00228, 0.00232, 0.00239, 0.00255, 0.00279, 0.00307, 0.00332, 0.00351, 0.00358, 0.00351, 0.00332, 0.00307, 0.00279, 0.00255, 0.00238, 0.00229, 0.00225, 0.00225, 0.00225, 0.00225, 0.00225, 0.00229, 0.00238, 0.00263, 0.00297, 0.00338, 0.00381, 0.00418, 0.00444, 0.00453, 0.00444, 0.00418, + 0.00381, 0.00338, 0.00297, 0.00263, 0.00240, 0.00229, 0.00227, 0.00230, 0.00234, 0.00236, 0.00234, 0.00230, 0.00227, 0.00229, 0.00240, 0.00287, 0.00353, 0.00438, 0.00529, 0.00662, 0.00904, 0.00985, 0.00904, 0.00662, 0.00529, 0.00438, 0.00353, 0.00287, 0.00246, 0.00232, 0.00237, 0.00253, 0.00268, 0.00273, 0.00268, 0.00253, 0.00237, 0.00232, 0.00246, 0.00347, 0.00511, + 0.00732, 0.01272, 0.01803, 0.02122, 0.02228, 0.02122, 0.01803, 0.01272, 0.00732, 0.00511, 0.00347, 0.00257, 0.00241, 0.00271, 0.00249, 0.00235, 0.00230, 0.00235, 0.00249, 0.00271, 0.00241, 0.00257, 0.00482, 0.01376, 0.03004, 0.03784, 0.04018, 0.03805, 0.03004, 0.01467, 0.00482, 0.00253, 0.00219, 0.00190, 0.00182, 0.00189, 0.00219, 0.00259, 0.00830, 0.03712, 0.00425, + 0.00356, 0.00425, 0.03712, 0.00830, 0.00168, 0.00148, 0.00143, 0.00148, 0.00168, 0.00253, 0.00252, 0.00268, 0.00276, 0.00268, 0.00252, 0.00240, 0.00236, 0.00240, 0.00253, 0.00270, 0.00288, 0.00302, 0.00308, 0.00303, 0.00288, 0.00271, 0.00253, 0.00239, 0.00231, 0.00227, 0.00226, 0.00227, 0.00231, 0.00239, 0.00254, 0.00278, 0.00306, 0.00332, 0.00351, 0.00357, 0.00351, + 0.00332, 0.00306, 0.00278, 0.00254, 0.00237, 0.00228, 0.00224, 0.00224, 0.00224, 0.00224, 0.00224, 0.00228, 0.00237, 0.00262, 0.00296, 0.00337, 0.00381, 0.00418, 0.00444, 0.00453, 0.00444, 0.00418, 0.00381, 0.00337, 0.00296, 0.00262, 0.00240, 0.00228, 0.00226, 0.00229, 0.00233, 0.00235, 0.00233, 0.00229, 0.00226, 0.00228, 0.00240, 0.00286, 0.00353, 0.00438, 0.00529, + 0.00662, 0.00904, 0.00985, 0.00904, 0.00662, 0.00529, 0.00438, 0.00353, 0.00286, 0.00245, 0.00231, 0.00236, 0.00252, 0.00267, 0.00272, 0.00267, 0.00252, 0.00236, 0.00231, 0.00245, 0.00346, 0.00511, 0.00732, 0.01272, 0.01803, 0.02122, 0.02228, 0.02122, 0.01803, 0.01272, 0.00732, 0.00511, 0.00346, 0.00256, 0.00240, 0.00269, 0.00247, 0.00233, 0.00228, 0.00233, 0.00247, + 0.00269, 0.00240, 0.00256, 0.00482, 0.01376, 0.03014, 0.03805, 0.04035, 0.03826, 0.03014, 0.01467, 0.00482, 0.00252, 0.00217, 0.00187, 0.00180, 0.00187, 0.00217, 0.00258, 0.00829, 0.03591, 0.00057, 0.00058, 0.00057, 0.03591, 0.00829, 0.00166, 0.00146, 0.00141, 0.00146, 0.00166, 0.00253, 0.00253, 0.00269, 0.00276, 0.00269, 0.00253, 0.00241, 0.00237, 0.00241, 0.00253, + 0.00270, 0.00289, 0.00302, 0.00308, 0.00303, 0.00289, 0.00271, 0.00253, 0.00240, 0.00231, 0.00228, 0.00227, 0.00228, 0.00231, 0.00239, 0.00255, 0.00279, 0.00306, 0.00332, 0.00351, 0.00358, 0.00351, 0.00332, 0.00306, 0.00279, 0.00255, 0.00238, 0.00228, 0.00225, 0.00225, 0.00225, 0.00225, 0.00225, 0.00228, 0.00238, 0.00263, 0.00297, 0.00338, 0.00381, 0.00418, 0.00444, + 0.00453, 0.00444, 0.00418, 0.00381, 0.00338, 0.00297, 0.00263, 0.00240, 0.00229, 0.00227, 0.00230, 0.00234, 0.00236, 0.00234, 0.00230, 0.00227, 0.00229, 0.00240, 0.00287, 0.00353, 0.00438, 0.00529, 0.00662, 0.00904, 0.00985, 0.00904, 0.00662, 0.00529, 0.00438, 0.00353, 0.00287, 0.00246, 0.00232, 0.00237, 0.00253, 0.00268, 0.00273, 0.00268, 0.00253, 0.00237, 0.00232, + 0.00246, 0.00347, 0.00511, 0.00732, 0.01272, 0.01803, 0.02122, 0.02228, 0.02122, 0.01803, 0.01272, 0.00732, 0.00511, 0.00347, 0.00257, 0.00241, 0.00271, 0.00248, 0.00234, 0.00230, 0.00234, 0.00248, 0.00271, 0.00241, 0.00257, 0.00482, 0.01376, 0.03006, 0.03787, 0.04021, 0.03808, 0.03006, 0.01467, 0.00482, 0.00253, 0.00219, 0.00189, 0.00182, 0.00189, 0.00219, 0.00259, + 0.00830, 0.03702, 0.00371, 0.00312, 0.00371, 0.03702, 0.00830, 0.00168, 0.00148, 0.00143, 0.00148, 0.00168, 0.00256, 0.00256, 0.00271, 0.00278, 0.00271, 0.00256, 0.00244, 0.00240, 0.00244, 0.00256, 0.00273, 0.00291, 0.00304, 0.00310, 0.00305, 0.00291, 0.00273, 0.00256, 0.00243, 0.00235, 0.00232, 0.00231, 0.00231, 0.00235, 0.00243, 0.00258, 0.00281, 0.00308, 0.00334, + 0.00352, 0.00359, 0.00352, 0.00334, 0.00308, 0.00281, 0.00258, 0.00241, 0.00232, 0.00229, 0.00229, 0.00229, 0.00229, 0.00229, 0.00232, 0.00241, 0.00266, 0.00299, 0.00339, 0.00382, 0.00419, 0.00445, 0.00454, 0.00445, 0.00419, 0.00382, 0.00339, 0.00299, 0.00266, 0.00244, 0.00233, 0.00231, 0.00235, 0.00239, 0.00241, 0.00239, 0.00235, 0.00231, 0.00233, 0.00244, 0.00289, + 0.00355, 0.00439, 0.00530, 0.00662, 0.00904, 0.00985, 0.00904, 0.00662, 0.00530, 0.00439, 0.00355, 0.00289, 0.00250, 0.00236, 0.00242, 0.00259, 0.00274, 0.00279, 0.00274, 0.00259, 0.00242, 0.00236, 0.00250, 0.00350, 0.00513, 0.00733, 0.01272, 0.01803, 0.02122, 0.02229, 0.02122, 0.01803, 0.01272, 0.00733, 0.00513, 0.00350, 0.00261, 0.00246, 0.00277, 0.00255, 0.00241, + 0.00237, 0.00241, 0.00255, 0.00277, 0.00246, 0.00261, 0.00485, 0.01376, 0.02956, 0.03685, 0.03942, 0.03707, 0.02956, 0.01467, 0.00485, 0.00259, 0.00226, 0.00198, 0.00190, 0.00197, 0.00226, 0.00264, 0.00833, 0.04038, 0.02159, 0.01762, 0.02159, 0.04038, 0.00833, 0.00176, 0.00155, 0.00150, 0.00155, 0.00176, 0.00251, 0.00251, 0.00264, 0.00271, 0.00264, 0.00251, 0.00241, + 0.00238, 0.00241, 0.00251, 0.00266, 0.00282, 0.00294, 0.00299, 0.00294, 0.00282, 0.00267, 0.00251, 0.00240, 0.00234, 0.00231, 0.00231, 0.00231, 0.00234, 0.00240, 0.00253, 0.00274, 0.00298, 0.00321, 0.00337, 0.00343, 0.00337, 0.00321, 0.00298, 0.00274, 0.00253, 0.00239, 0.00232, 0.00230, 0.00231, 0.00231, 0.00231, 0.00230, 0.00232, 0.00239, 0.00261, 0.00290, 0.00326, + 0.00365, 0.00399, 0.00423, 0.00431, 0.00423, 0.00399, 0.00365, 0.00326, 0.00290, 0.00261, 0.00242, 0.00233, 0.00233, 0.00238, 0.00243, 0.00245, 0.00243, 0.00238, 0.00233, 0.00233, 0.00242, 0.00283, 0.00342, 0.00419, 0.00503, 0.00626, 0.00855, 0.00932, 0.00855, 0.00626, 0.00503, 0.00419, 0.00342, 0.00283, 0.00248, 0.00238, 0.00246, 0.00264, 0.00279, 0.00284, 0.00279, + 0.00264, 0.00246, 0.00238, 0.00248, 0.00340, 0.00490, 0.00694, 0.01192, 0.01615, 0.01881, 0.01972, 0.01881, 0.01615, 0.01192, 0.00694, 0.00490, 0.00340, 0.00260, 0.00250, 0.00282, 0.00261, 0.00248, 0.00244, 0.00248, 0.00261, 0.00282, 0.00250, 0.00260, 0.00468, 0.01302, 0.02590, 0.03352, 0.03636, 0.03376, 0.02590, 0.01388, 0.00468, 0.00263, 0.00234, 0.00208, 0.00201, + 0.00207, 0.00234, 0.73571, 0.00797, 0.04214, 0.04217, 0.04217, 0.04217, 0.04214, 0.00797, 0.00185, 0.00165, 0.00160, 0.00165, 0.00185, 0.00037, 0.00037, 0.00039, 0.00040, 0.00039, 0.00037, 0.00036, 0.00035, 0.00036, 0.00037, 0.00039, 0.00042, 0.00044, 0.00045, 0.00044, 0.00042, 0.00040, 0.00037, 0.00035, 0.00034, 0.00034, 0.00034, 0.00034, 0.00034, 0.00035, 0.00037, + 0.00041, 0.00044, 0.00048, 0.00051, 0.00051, 0.00051, 0.00048, 0.00044, 0.00041, 0.00037, 0.00035, 0.00034, 0.00034, 0.00034, 0.00034, 0.00034, 0.00034, 0.00034, 0.00035, 0.00039, 0.00043, 0.00049, 0.00055, 0.00060, 0.00064, 0.00065, 0.00064, 0.00060, 0.00055, 0.00049, 0.00043, 0.00039, 0.00036, 0.00034, 0.00034, 0.00035, 0.00035, 0.00036, 0.00035, 0.00035, 0.00034, + 0.00034, 0.00036, 0.00042, 0.00051, 0.00063, 0.00076, 0.00094, 0.00127, 0.00138, 0.00127, 0.00094, 0.00076, 0.00063, 0.00051, 0.00042, 0.00037, 0.00035, 0.00036, 0.00038, 0.00041, 0.00041, 0.00041, 0.00038, 0.00036, 0.00035, 0.00037, 0.00050, 0.00073, 0.00104, 0.00177, 0.00238, 0.00276, 0.00289, 0.00276, 0.00238, 0.00177, 0.00104, 0.00073, 0.00050, 0.00038, 0.00036, + 0.00041, 0.00038, 0.00036, 0.00036, 0.00036, 0.00038, 0.00041, 0.00036, 0.00038, 0.00070, 0.00195, 0.00379, 0.00488, 0.00528, 0.00491, 0.00379, 0.00207, 0.00070, 0.00038, 0.00034, 0.00030, 0.00029, 0.00030, 0.00034, 0.00039, 2.76840, 0.00611, 0.00611, 0.00611, 0.00611, 0.00611, 0.00117, 0.00027, 0.00024, 0.00023, 0.00024, 0.00027, 0.00609, 0.00609, 0.00534, 0.00503, + 0.00534, 0.00609, 0.00684, 0.00715, 0.00684, 0.00609, 0.00527, 0.00455, 0.00408, 0.00391, 0.00407, 0.00455, 0.00524, 0.00609, 0.00691, 0.00764, 0.00810, 0.00828, 0.00812, 0.00764, 0.00694, 0.00609, 0.00502, 0.00406, 0.00329, 0.00280, 0.00263, 0.00280, 0.00329, 0.00406, 0.00502, 0.00609, 0.00716, 0.00813, 0.00890, 0.00939, 0.00956, 0.00939, 0.00890, 0.00813, 0.00716, + 0.00609, 0.00479, 0.00358, 0.00254, 0.00175, 0.00125, 0.00108, 0.00125, 0.00175, 0.00254, 0.00358, 0.00479, 0.00609, 0.00740, 0.00861, 0.00966, 0.01046, 0.01097, 0.01114, 0.01097, 0.01046, 0.00966, 0.00861, 0.00740, 0.00610, 0.00425, 0.00254, 0.00108, 0.00016, 0.00021, 0.00023, 0.00021, 0.00016, 0.00108, 0.00254, 0.00425, 0.00610, 0.00795, 0.00968, 0.01116, 0.01231, + 0.01303, 0.01328, 0.01303, 0.01231, 0.01116, 0.00968, 0.00795, 0.00611, 0.00345, 0.00098, 0.00030, 0.00039, 0.00046, 0.00048, 0.00046, 0.00039, 0.00030, 0.00098, 0.00345, 0.00611, 0.00879, 0.01131, 0.01322, 0.01276, 0.01247, 0.01237, 0.01247, 0.01276, 0.01322, 0.01131, 0.00879, 0.00614, 0.00033, 0.00062, 0.00081, 0.00088, 0.00082, 0.00062, 0.00035, 0.00614, 0.01230, + 0.01202, 0.01103, 0.01067, 0.01100, 0.01202, 0.01257, 0.00622, 0.00104, 0.00115, 0.00117, 0.00115, 0.00104, 0.00622, 0.00892, 0.00481, 0.00338, 0.00481, 0.00892, 0.00611, 0.00611, 0.00536, 0.00505, 0.00536, 0.00611, 0.00685, 0.00716, 0.00685, 0.00611, 0.00529, 0.00457, 0.00410, 0.00393, 0.00409, 0.00457, 0.00525, 0.00611, 0.00692, 0.00765, 0.00812, 0.00829, 0.00813, + 0.00765, 0.00696, 0.00611, 0.00504, 0.00408, 0.00331, 0.00283, 0.00266, 0.00283, 0.00331, 0.00408, 0.00504, 0.00611, 0.00718, 0.00814, 0.00891, 0.00941, 0.00958, 0.00941, 0.00891, 0.00814, 0.00718, 0.00611, 0.00481, 0.00360, 0.00257, 0.00178, 0.00128, 0.00111, 0.00128, 0.00178, 0.00257, 0.00360, 0.00481, 0.00611, 0.00741, 0.00863, 0.00967, 0.01048, 0.01099, 0.01116, + 0.01099, 0.01048, 0.00967, 0.00863, 0.00741, 0.00612, 0.00428, 0.00257, 0.00111, 0.00020, 0.00027, 0.00030, 0.00027, 0.00020, 0.00111, 0.00257, 0.00428, 0.00612, 0.00796, 0.00969, 0.01118, 0.01233, 0.01305, 0.01330, 0.01305, 0.01233, 0.01118, 0.00969, 0.00796, 0.00613, 0.00348, 0.00103, 0.00038, 0.00050, 0.00058, 0.00061, 0.00058, 0.00050, 0.00038, 0.00103, 0.00348, + 0.00613, 0.00881, 0.01132, 0.01299, 0.01042, 0.00881, 0.00826, 0.00881, 0.01042, 0.01299, 0.01132, 0.00881, 0.00618, 0.00042, 0.00080, 0.00103, 0.00112, 0.00104, 0.00080, 0.00044, 0.00618, 0.01231, 0.00638, 0.00117, 0.00006, 0.00101, 0.00638, 0.01259, 0.00628, 0.00128, 0.00140, 0.00142, 0.00140, 0.00128, 0.00628, 0.00006, 0.00005, 0.00005, 0.00005, 0.00006, 0.00611, + 0.00611, 0.00536, 0.00505, 0.00536, 0.00611, 0.00686, 0.00717, 0.00686, 0.00611, 0.00529, 0.00457, 0.00410, 0.00393, 0.00409, 0.00457, 0.00526, 0.00611, 0.00693, 0.00765, 0.00812, 0.00829, 0.00813, 0.00765, 0.00696, 0.00611, 0.00504, 0.00408, 0.00332, 0.00283, 0.00266, 0.00283, 0.00332, 0.00408, 0.00504, 0.00611, 0.00718, 0.00815, 0.00891, 0.00941, 0.00958, 0.00941, + 0.00891, 0.00815, 0.00718, 0.00611, 0.00481, 0.00360, 0.00257, 0.00178, 0.00128, 0.00111, 0.00128, 0.00178, 0.00257, 0.00360, 0.00481, 0.00611, 0.00741, 0.00863, 0.00968, 0.01048, 0.01099, 0.01116, 0.01099, 0.01048, 0.00968, 0.00863, 0.00741, 0.00612, 0.00428, 0.00257, 0.00111, 0.00021, 0.00028, 0.00030, 0.00028, 0.00021, 0.00111, 0.00257, 0.00428, 0.00612, 0.00796, + 0.00969, 0.01118, 0.01233, 0.01305, 0.01330, 0.01305, 0.01233, 0.01118, 0.00969, 0.00796, 0.00614, 0.00349, 0.00104, 0.00039, 0.00051, 0.00059, 0.00062, 0.00059, 0.00051, 0.00039, 0.00104, 0.00349, 0.00614, 0.00881, 0.01132, 0.01290, 0.00956, 0.00747, 0.00675, 0.00747, 0.00956, 0.01290, 0.01132, 0.00881, 0.00618, 0.00043, 0.00081, 0.00105, 0.00114, 0.00106, 0.00081, + 0.00045, 0.00618, 0.01232, 0.00519, 0.00096, 0.00006, 0.00083, 0.00519, 0.01259, 0.00628, 0.00130, 0.00143, 0.00145, 0.00143, 0.00130, 0.00628, 0.00006, 0.00005, 0.00005, 0.00005, 0.00006, 0.00611, 0.00611, 0.00536, 0.00505, 0.00536, 0.00611, 0.00685, 0.00716, 0.00685, 0.00611, 0.00529, 0.00457, 0.00410, 0.00393, 0.00409, 0.00457, 0.00525, 0.00611, 0.00692, 0.00765, + 0.00812, 0.00829, 0.00813, 0.00765, 0.00696, 0.00611, 0.00504, 0.00408, 0.00331, 0.00283, 0.00266, 0.00283, 0.00331, 0.00408, 0.00504, 0.00611, 0.00718, 0.00814, 0.00891, 0.00941, 0.00958, 0.00941, 0.00891, 0.00814, 0.00718, 0.00611, 0.00481, 0.00360, 0.00257, 0.00178, 0.00128, 0.00111, 0.00128, 0.00178, 0.00257, 0.00360, 0.00481, 0.00611, 0.00741, 0.00863, 0.00967, + 0.01048, 0.01099, 0.01116, 0.01099, 0.01048, 0.00967, 0.00863, 0.00741, 0.00612, 0.00428, 0.00257, 0.00111, 0.00020, 0.00027, 0.00030, 0.00027, 0.00020, 0.00111, 0.00257, 0.00428, 0.00612, 0.00796, 0.00969, 0.01118, 0.01233, 0.01305, 0.01330, 0.01305, 0.01233, 0.01118, 0.00969, 0.00796, 0.00613, 0.00348, 0.00103, 0.00038, 0.00050, 0.00058, 0.00061, 0.00058, 0.00050, + 0.00038, 0.00103, 0.00348, 0.00613, 0.00881, 0.01132, 0.01299, 0.01042, 0.00881, 0.00826, 0.00881, 0.01042, 0.01299, 0.01132, 0.00881, 0.00618, 0.00042, 0.00080, 0.00103, 0.00112, 0.00104, 0.00080, 0.00044, 0.00618, 0.01231, 0.00638, 0.00117, 0.00006, 0.00101, 0.00638, 0.01259, 0.00628, 0.00128, 0.00140, 0.00142, 0.00140, 0.00128, 0.00628, 0.00006, 0.00005, 0.00005, + 0.00005, 0.00006, 0.00609, 0.00609, 0.00534, 0.00503, 0.00534, 0.00609, 0.00684, 0.00715, 0.00684, 0.00609, 0.00527, 0.00455, 0.00408, 0.00391, 0.00407, 0.00455, 0.00524, 0.00609, 0.00691, 0.00764, 0.00810, 0.00828, 0.00812, 0.00764, 0.00694, 0.00609, 0.00502, 0.00406, 0.00329, 0.00280, 0.00263, 0.00280, 0.00329, 0.00406, 0.00502, 0.00609, 0.00716, 0.00813, 0.00890, + 0.00939, 0.00956, 0.00939, 0.00890, 0.00813, 0.00716, 0.00609, 0.00479, 0.00358, 0.00254, 0.00175, 0.00125, 0.00108, 0.00125, 0.00175, 0.00254, 0.00358, 0.00479, 0.00609, 0.00740, 0.00861, 0.00966, 0.01046, 0.01097, 0.01114, 0.01097, 0.01046, 0.00966, 0.00861, 0.00740, 0.00610, 0.00425, 0.00254, 0.00108, 0.00016, 0.00021, 0.00023, 0.00021, 0.00016, 0.00108, 0.00254, + 0.00425, 0.00610, 0.00795, 0.00968, 0.01116, 0.01231, 0.01303, 0.01328, 0.01303, 0.01231, 0.01116, 0.00968, 0.00795, 0.00611, 0.00345, 0.00098, 0.00030, 0.00039, 0.00046, 0.00048, 0.00046, 0.00039, 0.00030, 0.00098, 0.00345, 0.00611, 0.00879, 0.01131, 0.01322, 0.01276, 0.01247, 0.01237, 0.01247, 0.01276, 0.01322, 0.01131, 0.00879, 0.00614, 0.00033, 0.00062, 0.00081, + 0.00088, 0.00082, 0.00062, 0.00035, 0.00614, 0.01230, 0.01202, 0.01103, 0.01067, 0.01100, 0.01202, 0.01257, 0.00622, 0.00104, 0.00115, 0.00117, 0.00115, 0.00104, 0.00622, 0.00892, 0.00481, 0.00338, 0.00481, 0.00892, 0.00037, 0.00037, 0.00039, 0.00040, 0.00039, 0.00037, 0.00036, 0.00035, 0.00036, 0.00037, 0.00039, 0.00042, 0.00044, 0.00045, 0.00044, 0.00042, 0.00040, + 0.00037, 0.00035, 0.00034, 0.00034, 0.00034, 0.00034, 0.00034, 0.00035, 0.00037, 0.00041, 0.00044, 0.00048, 0.00051, 0.00051, 0.00051, 0.00048, 0.00044, 0.00041, 0.00037, 0.00035, 0.00034, 0.00034, 0.00034, 0.00034, 0.00034, 0.00034, 0.00034, 0.00035, 0.00039, 0.00043, 0.00049, 0.00055, 0.00060, 0.00064, 0.00065, 0.00064, 0.00060, 0.00055, 0.00049, 0.00043, 0.00039, + 0.00036, 0.00034, 0.00034, 0.00035, 0.00035, 0.00036, 0.00035, 0.00035, 0.00034, 0.00034, 0.00036, 0.00042, 0.00051, 0.00063, 0.00076, 0.00094, 0.00127, 0.00138, 0.00127, 0.00094, 0.00076, 0.00063, 0.00051, 0.00042, 0.00037, 0.00035, 0.00036, 0.00038, 0.00041, 0.00041, 0.00041, 0.00038, 0.00036, 0.00035, 0.00037, 0.00050, 0.00073, 0.00104, 0.00177, 0.00238, 0.00276, + 0.00289, 0.00276, 0.00238, 0.00177, 0.00104, 0.00073, 0.00050, 0.00038, 0.00036, 0.00041, 0.00038, 0.00036, 0.00036, 0.00036, 0.00038, 0.00041, 0.00036, 0.00038, 0.00070, 0.00195, 0.00379, 0.00488, 0.00528, 0.00491, 0.00379, 0.00207, 0.00070, 0.00038, 0.00034, 0.00030, 0.00029, 0.00030, 0.00034, 0.00039, 0.00117, 0.00611, 0.00611, 0.00611, 0.00611, 0.00611, 2.76840, + 0.00027, 0.00024, 0.00023, 0.00024, 0.00027, 0.00078, 0.00078, 0.00083, 0.00085, 0.00083, 0.00078, 0.00074, 0.00073, 0.00074, 0.00078, 0.00083, 0.00089, 0.00094, 0.00095, 0.00094, 0.00089, 0.00084, 0.00078, 0.00074, 0.00071, 0.00070, 0.00069, 0.00070, 0.00071, 0.00073, 0.00078, 0.00086, 0.00095, 0.00103, 0.00109, 0.00111, 0.00109, 0.00103, 0.00095, 0.00086, 0.00078, + 0.00073, 0.00070, 0.00069, 0.00068, 0.00068, 0.00068, 0.00069, 0.00070, 0.00073, 0.00081, 0.00092, 0.00105, 0.00118, 0.00130, 0.00139, 0.00142, 0.00139, 0.00130, 0.00118, 0.00105, 0.00092, 0.00081, 0.00074, 0.00070, 0.00069, 0.00070, 0.00071, 0.00071, 0.00071, 0.00070, 0.00069, 0.00070, 0.00074, 0.00088, 0.00109, 0.00136, 0.00165, 0.00206, 0.00279, 0.00303, 0.00279, + 0.00206, 0.00165, 0.00136, 0.00109, 0.00088, 0.00075, 0.00070, 0.00072, 0.00077, 0.00081, 0.00083, 0.00081, 0.00077, 0.00072, 0.00070, 0.00075, 0.00107, 0.00159, 0.00228, 0.00391, 0.00550, 0.00646, 0.00678, 0.00646, 0.00550, 0.00391, 0.00228, 0.00159, 0.00107, 0.00078, 0.00073, 0.00082, 0.00075, 0.00070, 0.00069, 0.00070, 0.00075, 0.00082, 0.00073, 0.00078, 0.00149, + 0.00427, 0.00917, 0.01150, 0.01219, 0.01156, 0.00917, 0.00454, 0.00149, 0.00077, 0.00065, 0.00055, 0.00052, 0.00055, 0.00065, 0.00078, 0.00254, 0.00904, 0.00018, 0.00018, 0.00018, 0.00904, 0.00254, 0.00048, 0.00042, 0.00041, 0.00042, 0.00048, 0.00078, 0.00078, 0.00083, 0.00085, 0.00083, 0.00078, 0.00074, 0.00073, 0.00074, 0.00078, 0.00084, 0.00090, 0.00094, 0.00096, + 0.00094, 0.00090, 0.00084, 0.00078, 0.00074, 0.00071, 0.00070, 0.00070, 0.00070, 0.00071, 0.00074, 0.00079, 0.00086, 0.00095, 0.00103, 0.00109, 0.00111, 0.00109, 0.00103, 0.00095, 0.00086, 0.00079, 0.00073, 0.00070, 0.00069, 0.00069, 0.00069, 0.00069, 0.00069, 0.00070, 0.00073, 0.00081, 0.00092, 0.00105, 0.00119, 0.00131, 0.00139, 0.00142, 0.00139, 0.00131, 0.00119, + 0.00105, 0.00092, 0.00081, 0.00074, 0.00070, 0.00069, 0.00070, 0.00072, 0.00072, 0.00072, 0.00070, 0.00069, 0.00070, 0.00074, 0.00089, 0.00110, 0.00137, 0.00165, 0.00206, 0.00279, 0.00303, 0.00279, 0.00206, 0.00165, 0.00137, 0.00110, 0.00089, 0.00076, 0.00071, 0.00072, 0.00077, 0.00082, 0.00083, 0.00082, 0.00077, 0.00072, 0.00071, 0.00076, 0.00107, 0.00159, 0.00228, + 0.00391, 0.00551, 0.00646, 0.00678, 0.00646, 0.00551, 0.00391, 0.00228, 0.00159, 0.00107, 0.00079, 0.00074, 0.00083, 0.00075, 0.00070, 0.00068, 0.00070, 0.00075, 0.00083, 0.00074, 0.00079, 0.00149, 0.00427, 0.00917, 0.01150, 0.01221, 0.01156, 0.00917, 0.00454, 0.00149, 0.00077, 0.00064, 0.00052, 0.00050, 0.00052, 0.00064, 0.00079, 0.00254, 0.00494, 0.00018, 0.00018, + 0.00018, 0.00494, 0.00254, 0.00046, 0.00040, 0.00038, 0.00040, 0.00046, 0.00078, 0.00078, 0.00083, 0.00086, 0.00083, 0.00078, 0.00074, 0.00073, 0.00074, 0.00078, 0.00084, 0.00090, 0.00094, 0.00096, 0.00094, 0.00090, 0.00084, 0.00078, 0.00074, 0.00071, 0.00070, 0.00070, 0.00070, 0.00071, 0.00074, 0.00079, 0.00087, 0.00095, 0.00103, 0.00109, 0.00111, 0.00109, 0.00103, + 0.00095, 0.00087, 0.00079, 0.00073, 0.00070, 0.00069, 0.00069, 0.00069, 0.00069, 0.00069, 0.00070, 0.00073, 0.00081, 0.00092, 0.00105, 0.00119, 0.00131, 0.00139, 0.00142, 0.00139, 0.00131, 0.00119, 0.00105, 0.00092, 0.00081, 0.00074, 0.00070, 0.00070, 0.00071, 0.00072, 0.00072, 0.00072, 0.00071, 0.00070, 0.00070, 0.00074, 0.00089, 0.00110, 0.00137, 0.00165, 0.00206, + 0.00279, 0.00303, 0.00279, 0.00206, 0.00165, 0.00137, 0.00110, 0.00089, 0.00076, 0.00071, 0.00073, 0.00078, 0.00082, 0.00084, 0.00082, 0.00078, 0.00073, 0.00071, 0.00076, 0.00107, 0.00159, 0.00228, 0.00391, 0.00551, 0.00646, 0.00678, 0.00646, 0.00551, 0.00391, 0.00228, 0.00159, 0.00107, 0.00079, 0.00074, 0.00083, 0.00075, 0.00070, 0.00068, 0.00070, 0.00075, 0.00083, + 0.00074, 0.00079, 0.00149, 0.00427, 0.00917, 0.01150, 0.01221, 0.01156, 0.00917, 0.00454, 0.00149, 0.00077, 0.00063, 0.00052, 0.00049, 0.00051, 0.00063, 0.00079, 0.00254, 0.00351, 0.00018, 0.00018, 0.00018, 0.00351, 0.00254, 0.00045, 0.00039, 0.00037, 0.00039, 0.00045, 0.00078, 0.00078, 0.00083, 0.00085, 0.00083, 0.00078, 0.00074, 0.00073, 0.00074, 0.00078, 0.00084, + 0.00090, 0.00094, 0.00096, 0.00094, 0.00090, 0.00084, 0.00078, 0.00074, 0.00071, 0.00070, 0.00070, 0.00070, 0.00071, 0.00074, 0.00079, 0.00086, 0.00095, 0.00103, 0.00109, 0.00111, 0.00109, 0.00103, 0.00095, 0.00086, 0.00079, 0.00073, 0.00070, 0.00069, 0.00069, 0.00069, 0.00069, 0.00069, 0.00070, 0.00073, 0.00081, 0.00092, 0.00105, 0.00119, 0.00131, 0.00139, 0.00142, + 0.00139, 0.00131, 0.00119, 0.00105, 0.00092, 0.00081, 0.00074, 0.00070, 0.00069, 0.00070, 0.00072, 0.00072, 0.00072, 0.00070, 0.00069, 0.00070, 0.00074, 0.00089, 0.00110, 0.00137, 0.00165, 0.00206, 0.00279, 0.00303, 0.00279, 0.00206, 0.00165, 0.00137, 0.00110, 0.00089, 0.00076, 0.00071, 0.00072, 0.00077, 0.00082, 0.00083, 0.00082, 0.00077, 0.00072, 0.00071, 0.00076, + 0.00107, 0.00159, 0.00228, 0.00391, 0.00551, 0.00646, 0.00678, 0.00646, 0.00551, 0.00391, 0.00228, 0.00159, 0.00107, 0.00079, 0.00074, 0.00083, 0.00075, 0.00070, 0.00068, 0.00070, 0.00075, 0.00083, 0.00074, 0.00079, 0.00149, 0.00427, 0.00917, 0.01150, 0.01221, 0.01156, 0.00917, 0.00454, 0.00149, 0.00077, 0.00064, 0.00052, 0.00050, 0.00052, 0.00064, 0.00079, 0.00254, + 0.00494, 0.00018, 0.00018, 0.00018, 0.00494, 0.00254, 0.00046, 0.00040, 0.00038, 0.00040, 0.00046, 0.00078, 0.00078, 0.00083, 0.00085, 0.00083, 0.00078, 0.00074, 0.00073, 0.00074, 0.00078, 0.00083, 0.00089, 0.00094, 0.00095, 0.00094, 0.00089, 0.00084, 0.00078, 0.00074, 0.00071, 0.00070, 0.00069, 0.00070, 0.00071, 0.00073, 0.00078, 0.00086, 0.00095, 0.00103, 0.00109, + 0.00111, 0.00109, 0.00103, 0.00095, 0.00086, 0.00078, 0.00073, 0.00070, 0.00069, 0.00068, 0.00068, 0.00068, 0.00069, 0.00070, 0.00073, 0.00081, 0.00092, 0.00105, 0.00118, 0.00130, 0.00139, 0.00142, 0.00139, 0.00130, 0.00118, 0.00105, 0.00092, 0.00081, 0.00074, 0.00070, 0.00069, 0.00070, 0.00071, 0.00071, 0.00071, 0.00070, 0.00069, 0.00070, 0.00074, 0.00088, 0.00109, + 0.00136, 0.00165, 0.00206, 0.00279, 0.00303, 0.00279, 0.00206, 0.00165, 0.00136, 0.00109, 0.00088, 0.00075, 0.00070, 0.00072, 0.00077, 0.00081, 0.00083, 0.00081, 0.00077, 0.00072, 0.00070, 0.00075, 0.00107, 0.00159, 0.00228, 0.00391, 0.00550, 0.00646, 0.00678, 0.00646, 0.00550, 0.00391, 0.00228, 0.00159, 0.00107, 0.00078, 0.00073, 0.00082, 0.00075, 0.00070, 0.00069, + 0.00070, 0.00075, 0.00082, 0.00073, 0.00078, 0.00149, 0.00427, 0.00917, 0.01150, 0.01219, 0.01156, 0.00917, 0.00454, 0.00149, 0.00077, 0.00065, 0.00055, 0.00052, 0.00055, 0.00065, 0.00078, 0.00254, 0.00904, 0.00018, 0.00018, 0.00018, 0.00904, 0.00254, 0.00048, 0.00042, 0.00041, 0.00042, 0.00048; + + +Matrix:TwoDimension, +CFS_Glz_70_RbSol, +145, +145, + 4.88987, 0.00939, 0.01057, 0.01105, 0.01057, 0.00939, 0.00822, 0.00774, 0.00822, 0.00933, 0.01060, 0.01173, 0.01246, 0.01273, 0.01248, 0.01173, 0.01066, 0.00933, 0.00806, 0.00693, 0.00620, 0.00593, 0.00618, 0.00693, 0.00800, 0.00920, 0.01084, 0.01232, 0.01350, 0.01425, 0.01451, 0.01425, 0.01350, 0.01232, 0.01084, 0.00920, 0.00756, 0.00608, 0.00490, 0.00415, 0.00389, + 0.00415, 0.00490, 0.00608, 0.00756, 0.00895, 0.01090, 0.01271, 0.01427, 0.01546, 0.01621, 0.01647, 0.01621, 0.01546, 0.01427, 0.01271, 0.01090, 0.00895, 0.00701, 0.00520, 0.00364, 0.00245, 0.00170, 0.00144, 0.00170, 0.00245, 0.00364, 0.00520, 0.00701, 0.00847, 0.01109, 0.01352, 0.01562, 0.01722, 0.01823, 0.01857, 0.01823, 0.01722, 0.01562, 0.01352, 0.01109, 0.00847, + 0.00586, 0.00342, 0.00133, 0.00002, 0.00009, 0.00011, 0.00009, 0.00002, 0.00133, 0.00342, 0.00586, 0.00751, 0.01088, 0.01402, 0.01647, 0.01647, 0.01646, 0.01646, 0.01646, 0.01647, 0.01647, 0.01402, 0.01088, 0.00751, 0.00414, 0.00101, 0.00011, 0.00026, 0.00034, 0.00037, 0.00034, 0.00026, 0.00011, 0.00101, 0.00414, 0.00564, 0.01144, 0.01236, 0.01236, 0.01236, 0.01236, + 0.01236, 0.01169, 0.00564, 0.00001, 0.00036, 0.00059, 0.00067, 0.00059, 0.00036, 0.00003, 0.00176, 0.00387, 0.00387, 0.00387, 0.00387, 0.00387, 0.00176, 0.00030, 0.00038, 0.00039, 0.00038, 0.00030, 0.00939, 4.99748, 0.01054, 0.01103, 0.01054, 0.00938, 0.00821, 0.00772, 0.00821, 0.00931, 0.01058, 0.01171, 0.01243, 0.01270, 0.01245, 0.01171, 0.01064, 0.00931, 0.00804, + 0.00692, 0.00619, 0.00592, 0.00617, 0.00692, 0.00799, 0.00918, 0.01082, 0.01230, 0.01347, 0.01422, 0.01448, 0.01422, 0.01347, 0.01230, 0.01082, 0.00918, 0.00754, 0.00607, 0.00489, 0.00414, 0.00388, 0.00414, 0.00489, 0.00607, 0.00754, 0.00894, 0.01088, 0.01269, 0.01424, 0.01543, 0.01618, 0.01643, 0.01618, 0.01543, 0.01424, 0.01269, 0.01088, 0.00894, 0.00700, 0.00519, + 0.00363, 0.00244, 0.00169, 0.00144, 0.00169, 0.00244, 0.00363, 0.00519, 0.00700, 0.00846, 0.01107, 0.01350, 0.01558, 0.01719, 0.01819, 0.01854, 0.01819, 0.01719, 0.01558, 0.01350, 0.01107, 0.00846, 0.00585, 0.00342, 0.00133, 0.00002, 0.00009, 0.00011, 0.00009, 0.00002, 0.00133, 0.00342, 0.00585, 0.00750, 0.01086, 0.01399, 0.01644, 0.01643, 0.01643, 0.01643, 0.01643, + 0.01643, 0.01644, 0.01399, 0.01086, 0.00750, 0.00414, 0.00100, 0.00011, 0.00025, 0.00034, 0.00037, 0.00034, 0.00025, 0.00011, 0.00100, 0.00414, 0.00563, 0.01142, 0.01234, 0.01233, 0.01233, 0.01233, 0.01234, 0.01167, 0.00563, 0.00001, 0.00036, 0.00059, 0.00067, 0.00059, 0.00036, 0.00003, 0.00176, 0.00386, 0.00386, 0.00386, 0.00386, 0.00386, 0.00176, 0.00030, 0.00038, + 0.00039, 0.00038, 0.00030, 0.00822, 0.00821, 4.99733, 0.00965, 0.00923, 0.00821, 0.00718, 0.00676, 0.00718, 0.00815, 0.00926, 0.01025, 0.01088, 0.01112, 0.01090, 0.01025, 0.00931, 0.00815, 0.00704, 0.00605, 0.00542, 0.00518, 0.00540, 0.00605, 0.00699, 0.00804, 0.00947, 0.01077, 0.01179, 0.01245, 0.01268, 0.01245, 0.01179, 0.01077, 0.00947, 0.00804, 0.00660, 0.00531, + 0.00428, 0.00362, 0.00340, 0.00362, 0.00428, 0.00531, 0.00660, 0.00782, 0.00952, 0.01110, 0.01246, 0.01351, 0.01416, 0.01439, 0.01416, 0.01351, 0.01246, 0.01110, 0.00952, 0.00782, 0.00612, 0.00454, 0.00318, 0.00214, 0.00148, 0.00126, 0.00148, 0.00214, 0.00318, 0.00454, 0.00612, 0.00740, 0.00969, 0.01181, 0.01364, 0.01504, 0.01593, 0.01623, 0.01593, 0.01504, 0.01364, + 0.01181, 0.00969, 0.00740, 0.00512, 0.00299, 0.00116, 0.00002, 0.00008, 0.00010, 0.00008, 0.00002, 0.00116, 0.00299, 0.00512, 0.00656, 0.00951, 0.01225, 0.01439, 0.01438, 0.01438, 0.01438, 0.01438, 0.01438, 0.01439, 0.01225, 0.00951, 0.00656, 0.00362, 0.00088, 0.00010, 0.00022, 0.00030, 0.00033, 0.00030, 0.00022, 0.00010, 0.00088, 0.00362, 0.00493, 0.01000, 0.01080, + 0.01080, 0.01080, 0.01080, 0.01080, 0.01022, 0.00493, 0.00001, 0.00032, 0.00051, 0.00059, 0.00052, 0.00032, 0.00002, 0.00154, 0.00338, 0.00338, 0.00338, 0.00338, 0.00338, 0.00154, 0.00026, 0.00033, 0.00034, 0.00033, 0.00026, 0.00774, 0.00772, 0.00869, 4.99719, 0.00869, 0.00772, 0.00676, 0.00636, 0.00676, 0.00767, 0.00872, 0.00964, 0.01024, 0.01046, 0.01026, 0.00964, + 0.00876, 0.00767, 0.00662, 0.00570, 0.00510, 0.00488, 0.00508, 0.00570, 0.00658, 0.00756, 0.00891, 0.01013, 0.01110, 0.01172, 0.01193, 0.01172, 0.01110, 0.01013, 0.00891, 0.00756, 0.00621, 0.00500, 0.00403, 0.00341, 0.00320, 0.00341, 0.00403, 0.00500, 0.00621, 0.00736, 0.00896, 0.01045, 0.01173, 0.01271, 0.01333, 0.01354, 0.01333, 0.01271, 0.01173, 0.01045, 0.00896, + 0.00736, 0.00576, 0.00427, 0.00299, 0.00201, 0.00139, 0.00118, 0.00139, 0.00201, 0.00299, 0.00427, 0.00576, 0.00697, 0.00912, 0.01112, 0.01284, 0.01416, 0.01499, 0.01527, 0.01499, 0.01416, 0.01284, 0.01112, 0.00912, 0.00697, 0.00482, 0.00282, 0.00110, 0.00002, 0.00007, 0.00009, 0.00007, 0.00002, 0.00110, 0.00282, 0.00482, 0.00618, 0.00894, 0.01152, 0.01354, 0.01354, + 0.01353, 0.01353, 0.01353, 0.01354, 0.01354, 0.01152, 0.00894, 0.00618, 0.00341, 0.00083, 0.00009, 0.00021, 0.00028, 0.00031, 0.00028, 0.00021, 0.00009, 0.00083, 0.00341, 0.00464, 0.00941, 0.01016, 0.01016, 0.01016, 0.01016, 0.01016, 0.00961, 0.00464, 0.00001, 0.00030, 0.00048, 0.00055, 0.00049, 0.00030, 0.00002, 0.00145, 0.00318, 0.00318, 0.00318, 0.00318, 0.00318, + 0.00145, 0.00025, 0.00031, 0.00032, 0.00031, 0.00025, 0.00822, 0.00821, 0.00923, 0.00965, 4.99733, 0.00821, 0.00718, 0.00676, 0.00718, 0.00815, 0.00926, 0.01025, 0.01088, 0.01112, 0.01090, 0.01025, 0.00931, 0.00815, 0.00704, 0.00605, 0.00542, 0.00518, 0.00540, 0.00605, 0.00699, 0.00804, 0.00947, 0.01077, 0.01179, 0.01245, 0.01268, 0.01245, 0.01179, 0.01077, 0.00947, + 0.00804, 0.00660, 0.00531, 0.00428, 0.00362, 0.00340, 0.00362, 0.00428, 0.00531, 0.00660, 0.00782, 0.00952, 0.01110, 0.01246, 0.01351, 0.01416, 0.01439, 0.01416, 0.01351, 0.01246, 0.01110, 0.00952, 0.00782, 0.00612, 0.00454, 0.00318, 0.00214, 0.00148, 0.00126, 0.00148, 0.00214, 0.00318, 0.00454, 0.00612, 0.00740, 0.00969, 0.01181, 0.01364, 0.01504, 0.01593, 0.01623, + 0.01593, 0.01504, 0.01364, 0.01181, 0.00969, 0.00740, 0.00512, 0.00299, 0.00116, 0.00002, 0.00008, 0.00010, 0.00008, 0.00002, 0.00116, 0.00299, 0.00512, 0.00656, 0.00951, 0.01225, 0.01439, 0.01438, 0.01438, 0.01438, 0.01438, 0.01438, 0.01439, 0.01225, 0.00951, 0.00656, 0.00362, 0.00088, 0.00010, 0.00022, 0.00030, 0.00033, 0.00030, 0.00022, 0.00010, 0.00088, 0.00362, + 0.00493, 0.01000, 0.01080, 0.01080, 0.01080, 0.01080, 0.01080, 0.01022, 0.00493, 0.00001, 0.00032, 0.00051, 0.00059, 0.00052, 0.00032, 0.00002, 0.00154, 0.00338, 0.00338, 0.00338, 0.00338, 0.00338, 0.00154, 0.00026, 0.00033, 0.00034, 0.00033, 0.00026, 0.00939, 0.00938, 0.01054, 0.01103, 0.01054, 4.99748, 0.00821, 0.00772, 0.00821, 0.00931, 0.01058, 0.01171, 0.01243, + 0.01270, 0.01245, 0.01171, 0.01064, 0.00931, 0.00804, 0.00692, 0.00619, 0.00592, 0.00617, 0.00692, 0.00799, 0.00918, 0.01082, 0.01230, 0.01347, 0.01422, 0.01448, 0.01422, 0.01347, 0.01230, 0.01082, 0.00918, 0.00754, 0.00607, 0.00489, 0.00414, 0.00388, 0.00414, 0.00489, 0.00607, 0.00754, 0.00894, 0.01088, 0.01269, 0.01424, 0.01543, 0.01618, 0.01643, 0.01618, 0.01543, + 0.01424, 0.01269, 0.01088, 0.00894, 0.00700, 0.00519, 0.00363, 0.00244, 0.00169, 0.00144, 0.00169, 0.00244, 0.00363, 0.00519, 0.00700, 0.00846, 0.01107, 0.01350, 0.01558, 0.01719, 0.01819, 0.01854, 0.01819, 0.01719, 0.01558, 0.01350, 0.01107, 0.00846, 0.00585, 0.00342, 0.00133, 0.00002, 0.00009, 0.00011, 0.00009, 0.00002, 0.00133, 0.00342, 0.00585, 0.00750, 0.01086, + 0.01399, 0.01644, 0.01643, 0.01643, 0.01643, 0.01643, 0.01643, 0.01644, 0.01399, 0.01086, 0.00750, 0.00414, 0.00100, 0.00011, 0.00025, 0.00034, 0.00037, 0.00034, 0.00025, 0.00011, 0.00100, 0.00414, 0.00563, 0.01142, 0.01234, 0.01233, 0.01233, 0.01233, 0.01234, 0.01167, 0.00563, 0.00001, 0.00036, 0.00059, 0.00067, 0.00059, 0.00036, 0.00003, 0.00176, 0.00386, 0.00386, + 0.00386, 0.00386, 0.00386, 0.00176, 0.00030, 0.00038, 0.00039, 0.00038, 0.00030, 0.01057, 0.01054, 0.01186, 0.01240, 0.01186, 0.01054, 4.99733, 0.00869, 0.00923, 0.01047, 0.01190, 0.01317, 0.01398, 0.01428, 0.01401, 0.01317, 0.01196, 0.01047, 0.00904, 0.00778, 0.00696, 0.00666, 0.00694, 0.00778, 0.00898, 0.01033, 0.01217, 0.01383, 0.01515, 0.01600, 0.01629, 0.01600, + 0.01515, 0.01383, 0.01217, 0.01033, 0.00848, 0.00682, 0.00550, 0.00466, 0.00436, 0.00466, 0.00550, 0.00682, 0.00848, 0.01005, 0.01223, 0.01427, 0.01601, 0.01735, 0.01820, 0.01848, 0.01820, 0.01735, 0.01601, 0.01427, 0.01223, 0.01005, 0.00787, 0.00583, 0.00409, 0.00275, 0.00190, 0.00162, 0.00190, 0.00275, 0.00409, 0.00583, 0.00787, 0.00951, 0.01245, 0.01518, 0.01753, + 0.01933, 0.02046, 0.02085, 0.02046, 0.01933, 0.01753, 0.01518, 0.01245, 0.00951, 0.00658, 0.00384, 0.00150, 0.00002, 0.00010, 0.00012, 0.00010, 0.00002, 0.00150, 0.00384, 0.00658, 0.00843, 0.01221, 0.01574, 0.01849, 0.01848, 0.01848, 0.01848, 0.01848, 0.01848, 0.01849, 0.01574, 0.01221, 0.00843, 0.00465, 0.00113, 0.00013, 0.00029, 0.00039, 0.00042, 0.00039, 0.00029, + 0.00013, 0.00113, 0.00465, 0.00633, 0.01285, 0.01387, 0.01387, 0.01387, 0.01387, 0.01387, 0.01313, 0.00633, 0.00001, 0.00041, 0.00066, 0.00075, 0.00067, 0.00041, 0.00003, 0.00198, 0.00434, 0.00434, 0.00434, 0.00434, 0.00434, 0.00198, 0.00033, 0.00043, 0.00043, 0.00043, 0.00033, 0.01105, 0.01103, 0.01240, 0.01297, 0.01240, 0.01103, 0.00965, 4.99719, 0.00965, 0.01095, + 0.01245, 0.01377, 0.01462, 0.01494, 0.01465, 0.01377, 0.01251, 0.01095, 0.00946, 0.00813, 0.00728, 0.00697, 0.00726, 0.00813, 0.00940, 0.01080, 0.01273, 0.01447, 0.01585, 0.01673, 0.01704, 0.01673, 0.01585, 0.01447, 0.01273, 0.01080, 0.00887, 0.00714, 0.00576, 0.00487, 0.00457, 0.00487, 0.00576, 0.00714, 0.00887, 0.01051, 0.01280, 0.01492, 0.01675, 0.01815, 0.01903, + 0.01933, 0.01903, 0.01815, 0.01675, 0.01492, 0.01280, 0.01051, 0.00823, 0.00610, 0.00427, 0.00287, 0.00199, 0.00169, 0.00199, 0.00287, 0.00427, 0.00610, 0.00823, 0.00995, 0.01302, 0.01588, 0.01833, 0.02022, 0.02140, 0.02181, 0.02140, 0.02022, 0.01833, 0.01588, 0.01302, 0.00995, 0.00688, 0.00402, 0.00157, 0.00002, 0.00010, 0.00013, 0.00010, 0.00002, 0.00157, 0.00402, + 0.00688, 0.00882, 0.01277, 0.01646, 0.01933, 0.01933, 0.01933, 0.01933, 0.01933, 0.01933, 0.01933, 0.01646, 0.01277, 0.00882, 0.00487, 0.00118, 0.00013, 0.00030, 0.00040, 0.00044, 0.00040, 0.00030, 0.00013, 0.00118, 0.00487, 0.00662, 0.01344, 0.01451, 0.01451, 0.01451, 0.01451, 0.01451, 0.01373, 0.00662, 0.00001, 0.00042, 0.00069, 0.00079, 0.00070, 0.00042, 0.00003, + 0.00207, 0.00454, 0.00454, 0.00454, 0.00454, 0.00454, 0.00207, 0.00035, 0.00045, 0.00045, 0.00045, 0.00035, 0.01057, 0.01054, 0.01186, 0.01240, 0.01186, 0.01054, 0.00923, 0.00869, 4.99733, 0.01047, 0.01190, 0.01317, 0.01398, 0.01428, 0.01401, 0.01317, 0.01196, 0.01047, 0.00904, 0.00778, 0.00696, 0.00666, 0.00694, 0.00778, 0.00898, 0.01033, 0.01217, 0.01383, 0.01515, + 0.01600, 0.01629, 0.01600, 0.01515, 0.01383, 0.01217, 0.01033, 0.00848, 0.00682, 0.00550, 0.00466, 0.00436, 0.00466, 0.00550, 0.00682, 0.00848, 0.01005, 0.01223, 0.01427, 0.01601, 0.01735, 0.01820, 0.01848, 0.01820, 0.01735, 0.01601, 0.01427, 0.01223, 0.01005, 0.00787, 0.00583, 0.00409, 0.00275, 0.00190, 0.00162, 0.00190, 0.00275, 0.00409, 0.00583, 0.00787, 0.00951, + 0.01245, 0.01518, 0.01753, 0.01933, 0.02046, 0.02085, 0.02046, 0.01933, 0.01753, 0.01518, 0.01245, 0.00951, 0.00658, 0.00384, 0.00150, 0.00002, 0.00010, 0.00012, 0.00010, 0.00002, 0.00150, 0.00384, 0.00658, 0.00843, 0.01221, 0.01574, 0.01849, 0.01848, 0.01848, 0.01848, 0.01848, 0.01848, 0.01849, 0.01574, 0.01221, 0.00843, 0.00465, 0.00113, 0.00013, 0.00029, 0.00039, + 0.00042, 0.00039, 0.00029, 0.00013, 0.00113, 0.00465, 0.00633, 0.01285, 0.01387, 0.01387, 0.01387, 0.01387, 0.01387, 0.01313, 0.00633, 0.00001, 0.00041, 0.00066, 0.00075, 0.00067, 0.00041, 0.00003, 0.00198, 0.00434, 0.00434, 0.00434, 0.00434, 0.00434, 0.00198, 0.00033, 0.00043, 0.00043, 0.00043, 0.00033, 0.00933, 0.00931, 0.01047, 0.01095, 0.01047, 0.00931, 0.00815, + 0.00767, 0.00815, 5.31940, 0.01051, 0.01163, 0.01235, 0.01261, 0.01237, 0.01163, 0.01056, 0.00925, 0.00799, 0.00687, 0.00615, 0.00588, 0.00613, 0.00687, 0.00793, 0.00912, 0.01075, 0.01222, 0.01338, 0.01413, 0.01439, 0.01413, 0.01338, 0.01222, 0.01075, 0.00912, 0.00749, 0.00603, 0.00486, 0.00411, 0.00385, 0.00411, 0.00486, 0.00603, 0.00749, 0.00888, 0.01080, 0.01260, + 0.01414, 0.01533, 0.01607, 0.01633, 0.01607, 0.01533, 0.01414, 0.01260, 0.01080, 0.00888, 0.00695, 0.00515, 0.00361, 0.00243, 0.00168, 0.00143, 0.00168, 0.00243, 0.00361, 0.00515, 0.00695, 0.00840, 0.01099, 0.01341, 0.01548, 0.01707, 0.01807, 0.01842, 0.01807, 0.01707, 0.01548, 0.01341, 0.01099, 0.00840, 0.00581, 0.00340, 0.00132, 0.00002, 0.00009, 0.00011, 0.00009, + 0.00002, 0.00132, 0.00340, 0.00581, 0.00745, 0.01079, 0.01390, 0.01633, 0.01633, 0.01633, 0.01633, 0.01633, 0.01633, 0.01633, 0.01390, 0.01079, 0.00745, 0.00411, 0.00100, 0.00011, 0.00025, 0.00034, 0.00037, 0.00034, 0.00025, 0.00011, 0.00100, 0.00411, 0.00559, 0.01135, 0.01226, 0.01226, 0.01226, 0.01226, 0.01226, 0.01160, 0.00559, 0.00001, 0.00036, 0.00058, 0.00066, + 0.00059, 0.00036, 0.00003, 0.00175, 0.00384, 0.00384, 0.00384, 0.00384, 0.00384, 0.00175, 0.00030, 0.00038, 0.00038, 0.00038, 0.00030, 0.00806, 0.00804, 0.00904, 0.00946, 0.00904, 0.00804, 0.00704, 0.00662, 0.00704, 0.00799, 5.31923, 0.01004, 0.01066, 0.01089, 0.01068, 0.01004, 0.00912, 0.00799, 0.00690, 0.00593, 0.00531, 0.00508, 0.00529, 0.00593, 0.00685, 0.00788, + 0.00928, 0.01055, 0.01156, 0.01220, 0.01243, 0.01220, 0.01156, 0.01055, 0.00928, 0.00788, 0.00647, 0.00520, 0.00420, 0.00355, 0.00333, 0.00355, 0.00420, 0.00520, 0.00647, 0.00767, 0.00933, 0.01088, 0.01222, 0.01324, 0.01388, 0.01410, 0.01388, 0.01324, 0.01222, 0.01088, 0.00933, 0.00767, 0.00600, 0.00445, 0.00312, 0.00210, 0.00145, 0.00123, 0.00145, 0.00210, 0.00312, + 0.00445, 0.00600, 0.00726, 0.00949, 0.01158, 0.01337, 0.01475, 0.01561, 0.01590, 0.01561, 0.01475, 0.01337, 0.01158, 0.00949, 0.00726, 0.00502, 0.00293, 0.00114, 0.00002, 0.00007, 0.00009, 0.00007, 0.00002, 0.00114, 0.00293, 0.00502, 0.00643, 0.00932, 0.01201, 0.01410, 0.01410, 0.01410, 0.01410, 0.01410, 0.01410, 0.01410, 0.01201, 0.00932, 0.00643, 0.00355, 0.00086, + 0.00010, 0.00022, 0.00029, 0.00032, 0.00029, 0.00022, 0.00010, 0.00086, 0.00355, 0.00483, 0.00980, 0.01059, 0.01059, 0.01059, 0.01059, 0.01059, 0.01002, 0.00483, 0.00001, 0.00031, 0.00050, 0.00057, 0.00051, 0.00031, 0.00002, 0.00151, 0.00332, 0.00332, 0.00332, 0.00332, 0.00332, 0.00151, 0.00026, 0.00033, 0.00033, 0.00033, 0.00026, 0.00693, 0.00692, 0.00778, 0.00813, + 0.00778, 0.00692, 0.00605, 0.00570, 0.00605, 0.00687, 0.00780, 5.31879, 0.00917, 0.00937, 0.00919, 0.00864, 0.00785, 0.00687, 0.00593, 0.00510, 0.00457, 0.00437, 0.00455, 0.00510, 0.00589, 0.00677, 0.00798, 0.00907, 0.00994, 0.01049, 0.01068, 0.01049, 0.00994, 0.00907, 0.00798, 0.00677, 0.00556, 0.00447, 0.00361, 0.00305, 0.00286, 0.00305, 0.00361, 0.00447, 0.00556, + 0.00659, 0.00802, 0.00936, 0.01050, 0.01138, 0.01194, 0.01212, 0.01194, 0.01138, 0.01050, 0.00936, 0.00802, 0.00659, 0.00516, 0.00383, 0.00268, 0.00180, 0.00125, 0.00106, 0.00125, 0.00180, 0.00268, 0.00383, 0.00516, 0.00624, 0.00816, 0.00996, 0.01150, 0.01268, 0.01342, 0.01368, 0.01342, 0.01268, 0.01150, 0.00996, 0.00816, 0.00624, 0.00432, 0.00252, 0.00098, 0.00001, + 0.00006, 0.00008, 0.00006, 0.00001, 0.00098, 0.00252, 0.00432, 0.00553, 0.00801, 0.01032, 0.01213, 0.01213, 0.01212, 0.01212, 0.01212, 0.01213, 0.01213, 0.01032, 0.00801, 0.00553, 0.00305, 0.00074, 0.00008, 0.00019, 0.00025, 0.00028, 0.00025, 0.00019, 0.00008, 0.00074, 0.00305, 0.00415, 0.00843, 0.00910, 0.00910, 0.00910, 0.00910, 0.00910, 0.00861, 0.00415, 0.00001, + 0.00027, 0.00043, 0.00049, 0.00044, 0.00027, 0.00002, 0.00130, 0.00285, 0.00285, 0.00285, 0.00285, 0.00285, 0.00130, 0.00022, 0.00028, 0.00028, 0.00028, 0.00022, 0.00620, 0.00619, 0.00696, 0.00728, 0.00696, 0.00619, 0.00542, 0.00510, 0.00542, 0.00615, 0.00699, 0.00773, 5.31837, 0.00839, 0.00823, 0.00773, 0.00702, 0.00615, 0.00531, 0.00457, 0.00409, 0.00391, 0.00407, + 0.00457, 0.00528, 0.00606, 0.00715, 0.00812, 0.00890, 0.00940, 0.00957, 0.00940, 0.00890, 0.00812, 0.00715, 0.00606, 0.00498, 0.00401, 0.00323, 0.00273, 0.00256, 0.00273, 0.00323, 0.00401, 0.00498, 0.00590, 0.00718, 0.00838, 0.00941, 0.01019, 0.01069, 0.01086, 0.01069, 0.01019, 0.00941, 0.00838, 0.00718, 0.00590, 0.00462, 0.00343, 0.00240, 0.00161, 0.00112, 0.00095, + 0.00112, 0.00161, 0.00240, 0.00343, 0.00462, 0.00559, 0.00731, 0.00892, 0.01030, 0.01135, 0.01202, 0.01225, 0.01202, 0.01135, 0.01030, 0.00892, 0.00731, 0.00559, 0.00386, 0.00226, 0.00088, 0.00001, 0.00006, 0.00007, 0.00006, 0.00001, 0.00088, 0.00226, 0.00386, 0.00495, 0.00717, 0.00924, 0.01086, 0.01086, 0.01086, 0.01086, 0.01086, 0.01086, 0.01086, 0.00924, 0.00717, + 0.00495, 0.00273, 0.00066, 0.00008, 0.00017, 0.00023, 0.00025, 0.00023, 0.00017, 0.00008, 0.00066, 0.00273, 0.00372, 0.00755, 0.00815, 0.00815, 0.00815, 0.00815, 0.00815, 0.00771, 0.00372, 0.00001, 0.00024, 0.00039, 0.00044, 0.00039, 0.00024, 0.00002, 0.00117, 0.00255, 0.00255, 0.00255, 0.00255, 0.00255, 0.00117, 0.00020, 0.00025, 0.00025, 0.00025, 0.00020, 0.00593, + 0.00592, 0.00666, 0.00697, 0.00666, 0.00592, 0.00518, 0.00488, 0.00518, 0.00588, 0.00668, 0.00740, 0.00785, 5.31818, 0.00787, 0.00740, 0.00672, 0.00588, 0.00508, 0.00437, 0.00391, 0.00374, 0.00390, 0.00437, 0.00505, 0.00580, 0.00684, 0.00777, 0.00851, 0.00899, 0.00915, 0.00899, 0.00851, 0.00777, 0.00684, 0.00580, 0.00477, 0.00383, 0.00309, 0.00262, 0.00245, 0.00262, + 0.00309, 0.00383, 0.00477, 0.00565, 0.00687, 0.00801, 0.00900, 0.00975, 0.01022, 0.01038, 0.01022, 0.00975, 0.00900, 0.00801, 0.00687, 0.00565, 0.00442, 0.00328, 0.00230, 0.00154, 0.00107, 0.00091, 0.00107, 0.00154, 0.00230, 0.00328, 0.00442, 0.00534, 0.00699, 0.00853, 0.00985, 0.01086, 0.01150, 0.01171, 0.01150, 0.01086, 0.00985, 0.00853, 0.00699, 0.00534, 0.00370, + 0.00216, 0.00084, 0.00001, 0.00005, 0.00007, 0.00005, 0.00001, 0.00084, 0.00216, 0.00370, 0.00474, 0.00686, 0.00884, 0.01039, 0.01039, 0.01038, 0.01038, 0.01038, 0.01039, 0.01039, 0.00884, 0.00686, 0.00474, 0.00261, 0.00063, 0.00007, 0.00016, 0.00022, 0.00024, 0.00022, 0.00016, 0.00007, 0.00063, 0.00261, 0.00356, 0.00722, 0.00780, 0.00780, 0.00780, 0.00780, 0.00780, + 0.00738, 0.00356, 0.00001, 0.00023, 0.00037, 0.00042, 0.00037, 0.00023, 0.00002, 0.00111, 0.00244, 0.00244, 0.00244, 0.00244, 0.00244, 0.00111, 0.00019, 0.00024, 0.00024, 0.00024, 0.00019, 0.00618, 0.00617, 0.00694, 0.00726, 0.00694, 0.00617, 0.00540, 0.00508, 0.00540, 0.00613, 0.00696, 0.00770, 0.00818, 0.00836, 5.31835, 0.00770, 0.00700, 0.00613, 0.00529, 0.00455, + 0.00407, 0.00390, 0.00406, 0.00455, 0.00526, 0.00604, 0.00712, 0.00809, 0.00887, 0.00936, 0.00953, 0.00936, 0.00887, 0.00809, 0.00712, 0.00604, 0.00496, 0.00399, 0.00322, 0.00272, 0.00255, 0.00272, 0.00322, 0.00399, 0.00496, 0.00588, 0.00716, 0.00835, 0.00937, 0.01016, 0.01065, 0.01082, 0.01065, 0.01016, 0.00937, 0.00835, 0.00716, 0.00588, 0.00460, 0.00341, 0.00239, + 0.00161, 0.00111, 0.00095, 0.00111, 0.00161, 0.00239, 0.00341, 0.00460, 0.00557, 0.00728, 0.00888, 0.01026, 0.01131, 0.01197, 0.01220, 0.01197, 0.01131, 0.01026, 0.00888, 0.00728, 0.00557, 0.00385, 0.00225, 0.00088, 0.00001, 0.00006, 0.00007, 0.00006, 0.00001, 0.00088, 0.00225, 0.00385, 0.00494, 0.00715, 0.00921, 0.01082, 0.01082, 0.01082, 0.01082, 0.01082, 0.01082, + 0.01082, 0.00921, 0.00715, 0.00494, 0.00272, 0.00066, 0.00008, 0.00017, 0.00023, 0.00025, 0.00023, 0.00017, 0.00008, 0.00066, 0.00272, 0.00371, 0.00752, 0.00812, 0.00812, 0.00812, 0.00812, 0.00812, 0.00768, 0.00371, 0.00001, 0.00024, 0.00039, 0.00044, 0.00039, 0.00024, 0.00002, 0.00116, 0.00254, 0.00254, 0.00254, 0.00254, 0.00254, 0.00116, 0.00020, 0.00025, 0.00025, + 0.00025, 0.00020, 0.00693, 0.00692, 0.00778, 0.00813, 0.00778, 0.00692, 0.00605, 0.00570, 0.00605, 0.00687, 0.00780, 0.00864, 0.00917, 0.00937, 0.00919, 5.31879, 0.00785, 0.00687, 0.00593, 0.00510, 0.00457, 0.00437, 0.00455, 0.00510, 0.00589, 0.00677, 0.00798, 0.00907, 0.00994, 0.01049, 0.01068, 0.01049, 0.00994, 0.00907, 0.00798, 0.00677, 0.00556, 0.00447, 0.00361, + 0.00305, 0.00286, 0.00305, 0.00361, 0.00447, 0.00556, 0.00659, 0.00802, 0.00936, 0.01050, 0.01138, 0.01194, 0.01212, 0.01194, 0.01138, 0.01050, 0.00936, 0.00802, 0.00659, 0.00516, 0.00383, 0.00268, 0.00180, 0.00125, 0.00106, 0.00125, 0.00180, 0.00268, 0.00383, 0.00516, 0.00624, 0.00816, 0.00996, 0.01150, 0.01268, 0.01342, 0.01368, 0.01342, 0.01268, 0.01150, 0.00996, + 0.00816, 0.00624, 0.00432, 0.00252, 0.00098, 0.00001, 0.00006, 0.00008, 0.00006, 0.00001, 0.00098, 0.00252, 0.00432, 0.00553, 0.00801, 0.01032, 0.01213, 0.01213, 0.01212, 0.01212, 0.01212, 0.01213, 0.01213, 0.01032, 0.00801, 0.00553, 0.00305, 0.00074, 0.00008, 0.00019, 0.00025, 0.00028, 0.00025, 0.00019, 0.00008, 0.00074, 0.00305, 0.00415, 0.00843, 0.00910, 0.00910, + 0.00910, 0.00910, 0.00910, 0.00861, 0.00415, 0.00001, 0.00027, 0.00043, 0.00049, 0.00044, 0.00027, 0.00002, 0.00130, 0.00285, 0.00285, 0.00285, 0.00285, 0.00285, 0.00130, 0.00022, 0.00028, 0.00028, 0.00028, 0.00022, 0.00800, 0.00799, 0.00898, 0.00940, 0.00898, 0.00799, 0.00699, 0.00658, 0.00699, 0.00793, 0.00902, 0.00998, 0.01059, 0.01082, 0.01061, 0.00998, 5.31922, + 0.00793, 0.00685, 0.00589, 0.00528, 0.00505, 0.00526, 0.00589, 0.00681, 0.00782, 0.00922, 0.01048, 0.01148, 0.01212, 0.01234, 0.01212, 0.01148, 0.01048, 0.00922, 0.00782, 0.00643, 0.00517, 0.00417, 0.00353, 0.00331, 0.00353, 0.00417, 0.00517, 0.00643, 0.00761, 0.00927, 0.01081, 0.01213, 0.01315, 0.01379, 0.01400, 0.01379, 0.01315, 0.01213, 0.01081, 0.00927, 0.00761, + 0.00596, 0.00442, 0.00310, 0.00208, 0.00144, 0.00123, 0.00144, 0.00208, 0.00310, 0.00442, 0.00596, 0.00721, 0.00943, 0.01150, 0.01328, 0.01465, 0.01550, 0.01580, 0.01550, 0.01465, 0.01328, 0.01150, 0.00943, 0.00721, 0.00498, 0.00291, 0.00113, 0.00002, 0.00007, 0.00009, 0.00007, 0.00002, 0.00113, 0.00291, 0.00498, 0.00639, 0.00926, 0.01192, 0.01401, 0.01401, 0.01400, + 0.01400, 0.01400, 0.01401, 0.01401, 0.01192, 0.00926, 0.00639, 0.00353, 0.00086, 0.00010, 0.00022, 0.00029, 0.00032, 0.00029, 0.00022, 0.00010, 0.00086, 0.00353, 0.00480, 0.00974, 0.01051, 0.01051, 0.01051, 0.01051, 0.01051, 0.00995, 0.00480, 0.00001, 0.00031, 0.00050, 0.00057, 0.00050, 0.00031, 0.00002, 0.00150, 0.00329, 0.00329, 0.00329, 0.00329, 0.00329, 0.00150, + 0.00025, 0.00032, 0.00033, 0.00032, 0.00025, 0.00933, 0.00931, 0.01047, 0.01095, 0.01047, 0.00931, 0.00815, 0.00767, 0.00815, 0.00925, 0.01051, 0.01163, 0.01235, 0.01261, 0.01237, 0.01163, 0.01056, 5.31940, 0.00799, 0.00687, 0.00615, 0.00588, 0.00613, 0.00687, 0.00793, 0.00912, 0.01075, 0.01222, 0.01338, 0.01413, 0.01439, 0.01413, 0.01338, 0.01222, 0.01075, 0.00912, + 0.00749, 0.00603, 0.00486, 0.00411, 0.00385, 0.00411, 0.00486, 0.00603, 0.00749, 0.00888, 0.01080, 0.01260, 0.01414, 0.01533, 0.01607, 0.01633, 0.01607, 0.01533, 0.01414, 0.01260, 0.01080, 0.00888, 0.00695, 0.00515, 0.00361, 0.00243, 0.00168, 0.00143, 0.00168, 0.00243, 0.00361, 0.00515, 0.00695, 0.00840, 0.01099, 0.01341, 0.01548, 0.01707, 0.01807, 0.01842, 0.01807, + 0.01707, 0.01548, 0.01341, 0.01099, 0.00840, 0.00581, 0.00340, 0.00132, 0.00002, 0.00009, 0.00011, 0.00009, 0.00002, 0.00132, 0.00340, 0.00581, 0.00745, 0.01079, 0.01390, 0.01633, 0.01633, 0.01633, 0.01633, 0.01633, 0.01633, 0.01633, 0.01390, 0.01079, 0.00745, 0.00411, 0.00100, 0.00011, 0.00025, 0.00034, 0.00037, 0.00034, 0.00025, 0.00011, 0.00100, 0.00411, 0.00559, + 0.01135, 0.01226, 0.01226, 0.01226, 0.01226, 0.01226, 0.01160, 0.00559, 0.00001, 0.00036, 0.00058, 0.00066, 0.00059, 0.00036, 0.00003, 0.00175, 0.00384, 0.00384, 0.00384, 0.00384, 0.00384, 0.00175, 0.00030, 0.00038, 0.00038, 0.00038, 0.00030, 0.01060, 0.01058, 0.01190, 0.01245, 0.01190, 0.01058, 0.00926, 0.00872, 0.00926, 0.01051, 0.01194, 0.01321, 0.01403, 0.01433, + 0.01406, 0.01321, 0.01200, 0.01051, 5.31923, 0.00780, 0.00699, 0.00668, 0.00696, 0.00780, 0.00902, 0.01036, 0.01221, 0.01388, 0.01521, 0.01606, 0.01635, 0.01606, 0.01521, 0.01388, 0.01221, 0.01036, 0.00852, 0.00685, 0.00552, 0.00467, 0.00438, 0.00467, 0.00552, 0.00685, 0.00852, 0.01009, 0.01228, 0.01432, 0.01607, 0.01742, 0.01826, 0.01855, 0.01826, 0.01742, 0.01607, + 0.01432, 0.01228, 0.01009, 0.00790, 0.00586, 0.00410, 0.00276, 0.00191, 0.00162, 0.00191, 0.00276, 0.00410, 0.00586, 0.00790, 0.00955, 0.01249, 0.01524, 0.01759, 0.01940, 0.02054, 0.02093, 0.02054, 0.01940, 0.01759, 0.01524, 0.01249, 0.00955, 0.00660, 0.00386, 0.00150, 0.00002, 0.00010, 0.00012, 0.00010, 0.00002, 0.00150, 0.00386, 0.00660, 0.00847, 0.01226, 0.01580, + 0.01856, 0.01855, 0.01855, 0.01855, 0.01855, 0.01855, 0.01856, 0.01580, 0.01226, 0.00847, 0.00467, 0.00113, 0.00013, 0.00029, 0.00039, 0.00042, 0.00039, 0.00029, 0.00013, 0.00113, 0.00467, 0.00636, 0.01290, 0.01393, 0.01393, 0.01393, 0.01393, 0.01393, 0.01318, 0.00636, 0.00001, 0.00041, 0.00066, 0.00076, 0.00067, 0.00041, 0.00003, 0.00199, 0.00436, 0.00436, 0.00436, + 0.00436, 0.00436, 0.00199, 0.00034, 0.00043, 0.00044, 0.00043, 0.00034, 0.01173, 0.01171, 0.01317, 0.01377, 0.01317, 0.01171, 0.01025, 0.00964, 0.01025, 0.01163, 0.01321, 0.01462, 0.01553, 0.01586, 0.01555, 0.01462, 0.01328, 0.01163, 0.01004, 5.31879, 0.00773, 0.00740, 0.00770, 0.00864, 0.00998, 0.01147, 0.01351, 0.01536, 0.01682, 0.01777, 0.01809, 0.01777, 0.01682, + 0.01536, 0.01351, 0.01147, 0.00942, 0.00758, 0.00611, 0.00517, 0.00485, 0.00517, 0.00611, 0.00758, 0.00942, 0.01116, 0.01359, 0.01584, 0.01778, 0.01927, 0.02021, 0.02053, 0.02021, 0.01927, 0.01778, 0.01584, 0.01359, 0.01116, 0.00874, 0.00648, 0.00454, 0.00305, 0.00212, 0.00180, 0.00212, 0.00305, 0.00454, 0.00648, 0.00874, 0.01056, 0.01382, 0.01686, 0.01947, 0.02147, + 0.02273, 0.02316, 0.02273, 0.02147, 0.01947, 0.01686, 0.01382, 0.01056, 0.00731, 0.00427, 0.00166, 0.00002, 0.00011, 0.00014, 0.00011, 0.00002, 0.00166, 0.00427, 0.00731, 0.00937, 0.01357, 0.01748, 0.02053, 0.02053, 0.02053, 0.02053, 0.02053, 0.02053, 0.02053, 0.01748, 0.01357, 0.00937, 0.00517, 0.00125, 0.00014, 0.00032, 0.00043, 0.00047, 0.00043, 0.00032, 0.00014, + 0.00125, 0.00517, 0.00703, 0.01427, 0.01541, 0.01541, 0.01541, 0.01541, 0.01541, 0.01458, 0.00703, 0.00001, 0.00045, 0.00073, 0.00084, 0.00074, 0.00045, 0.00004, 0.00220, 0.00483, 0.00483, 0.00483, 0.00483, 0.00483, 0.00220, 0.00037, 0.00047, 0.00048, 0.00047, 0.00037, 0.01246, 0.01243, 0.01398, 0.01462, 0.01398, 0.01243, 0.01088, 0.01024, 0.01088, 0.01235, 0.01403, + 0.01553, 0.01648, 0.01684, 0.01651, 0.01553, 0.01410, 0.01235, 0.01066, 0.00917, 5.31837, 0.00785, 0.00818, 0.00917, 0.01059, 0.01218, 0.01435, 0.01631, 0.01786, 0.01886, 0.01921, 0.01886, 0.01786, 0.01631, 0.01435, 0.01218, 0.01000, 0.00804, 0.00649, 0.00549, 0.00515, 0.00549, 0.00649, 0.00804, 0.01000, 0.01185, 0.01442, 0.01682, 0.01888, 0.02046, 0.02146, 0.02180, + 0.02146, 0.02046, 0.01888, 0.01682, 0.01442, 0.01185, 0.00928, 0.00688, 0.00482, 0.00324, 0.00225, 0.00191, 0.00225, 0.00324, 0.00482, 0.00688, 0.00928, 0.01122, 0.01468, 0.01790, 0.02067, 0.02279, 0.02413, 0.02459, 0.02413, 0.02279, 0.02067, 0.01790, 0.01468, 0.01122, 0.00776, 0.00453, 0.00176, 0.00002, 0.00012, 0.00015, 0.00012, 0.00002, 0.00176, 0.00453, 0.00776, + 0.00995, 0.01440, 0.01856, 0.02180, 0.02180, 0.02180, 0.02180, 0.02180, 0.02180, 0.02180, 0.01856, 0.01440, 0.00995, 0.00549, 0.00133, 0.00015, 0.00034, 0.00045, 0.00049, 0.00045, 0.00034, 0.00015, 0.00133, 0.00549, 0.00747, 0.01515, 0.01637, 0.01636, 0.01636, 0.01636, 0.01637, 0.01549, 0.00747, 0.00001, 0.00048, 0.00078, 0.00089, 0.00079, 0.00048, 0.00004, 0.00234, + 0.00513, 0.00513, 0.00513, 0.00513, 0.00513, 0.00234, 0.00040, 0.00050, 0.00051, 0.00050, 0.00040, 0.01273, 0.01270, 0.01428, 0.01494, 0.01428, 0.01270, 0.01112, 0.01046, 0.01112, 0.01261, 0.01433, 0.01586, 0.01684, 0.01721, 0.01687, 0.01586, 0.01441, 0.01261, 0.01089, 0.00937, 0.00839, 5.31818, 0.00836, 0.00937, 0.01082, 0.01244, 0.01466, 0.01666, 0.01825, 0.01927, + 0.01962, 0.01927, 0.01825, 0.01666, 0.01466, 0.01244, 0.01022, 0.00822, 0.00663, 0.00561, 0.00526, 0.00561, 0.00663, 0.00822, 0.01022, 0.01211, 0.01474, 0.01719, 0.01929, 0.02091, 0.02192, 0.02227, 0.02192, 0.02091, 0.01929, 0.01719, 0.01474, 0.01211, 0.00948, 0.00703, 0.00492, 0.00331, 0.00229, 0.00195, 0.00229, 0.00331, 0.00492, 0.00703, 0.00948, 0.01146, 0.01500, + 0.01829, 0.02112, 0.02329, 0.02465, 0.02512, 0.02465, 0.02329, 0.02112, 0.01829, 0.01500, 0.01146, 0.00793, 0.00463, 0.00180, 0.00002, 0.00012, 0.00015, 0.00012, 0.00002, 0.00180, 0.00463, 0.00793, 0.01016, 0.01472, 0.01896, 0.02227, 0.02227, 0.02227, 0.02227, 0.02227, 0.02227, 0.02227, 0.01896, 0.01472, 0.01016, 0.00561, 0.00136, 0.00016, 0.00035, 0.00046, 0.00051, + 0.00046, 0.00035, 0.00016, 0.00136, 0.00561, 0.00763, 0.01548, 0.01672, 0.01672, 0.01672, 0.01672, 0.01672, 0.01582, 0.00763, 0.00002, 0.00049, 0.00079, 0.00091, 0.00080, 0.00049, 0.00004, 0.00239, 0.00524, 0.00524, 0.00524, 0.00524, 0.00524, 0.00239, 0.00040, 0.00051, 0.00052, 0.00051, 0.00040, 0.01248, 0.01245, 0.01401, 0.01465, 0.01401, 0.01245, 0.01090, 0.01026, + 0.01090, 0.01237, 0.01406, 0.01555, 0.01651, 0.01687, 0.01654, 0.01555, 0.01413, 0.01237, 0.01068, 0.00919, 0.00823, 0.00787, 5.31835, 0.00919, 0.01061, 0.01220, 0.01438, 0.01634, 0.01790, 0.01890, 0.01924, 0.01890, 0.01790, 0.01634, 0.01438, 0.01220, 0.01002, 0.00806, 0.00650, 0.00550, 0.00516, 0.00550, 0.00650, 0.00806, 0.01002, 0.01187, 0.01445, 0.01685, 0.01892, + 0.02050, 0.02150, 0.02184, 0.02150, 0.02050, 0.01892, 0.01685, 0.01445, 0.01187, 0.00929, 0.00689, 0.00483, 0.00325, 0.00225, 0.00191, 0.00225, 0.00325, 0.00483, 0.00689, 0.00929, 0.01124, 0.01470, 0.01793, 0.02071, 0.02284, 0.02417, 0.02463, 0.02417, 0.02284, 0.02071, 0.01793, 0.01470, 0.01124, 0.00777, 0.00454, 0.00177, 0.00002, 0.00012, 0.00015, 0.00012, 0.00002, + 0.00177, 0.00454, 0.00777, 0.00996, 0.01443, 0.01859, 0.02184, 0.02184, 0.02184, 0.02184, 0.02184, 0.02184, 0.02184, 0.01859, 0.01443, 0.00996, 0.00550, 0.00133, 0.00015, 0.00034, 0.00046, 0.00050, 0.00046, 0.00034, 0.00015, 0.00133, 0.00550, 0.00748, 0.01518, 0.01639, 0.01639, 0.01639, 0.01639, 0.01639, 0.01551, 0.00748, 0.00001, 0.00048, 0.00078, 0.00089, 0.00079, + 0.00048, 0.00004, 0.00234, 0.00514, 0.00514, 0.00514, 0.00514, 0.00514, 0.00234, 0.00040, 0.00050, 0.00051, 0.00050, 0.00040, 0.01173, 0.01171, 0.01317, 0.01377, 0.01317, 0.01171, 0.01025, 0.00964, 0.01025, 0.01163, 0.01321, 0.01462, 0.01553, 0.01586, 0.01555, 0.01462, 0.01328, 0.01163, 0.01004, 0.00864, 0.00773, 0.00740, 0.00770, 5.31879, 0.00998, 0.01147, 0.01351, + 0.01536, 0.01682, 0.01777, 0.01809, 0.01777, 0.01682, 0.01536, 0.01351, 0.01147, 0.00942, 0.00758, 0.00611, 0.00517, 0.00485, 0.00517, 0.00611, 0.00758, 0.00942, 0.01116, 0.01359, 0.01584, 0.01778, 0.01927, 0.02021, 0.02053, 0.02021, 0.01927, 0.01778, 0.01584, 0.01359, 0.01116, 0.00874, 0.00648, 0.00454, 0.00305, 0.00212, 0.00180, 0.00212, 0.00305, 0.00454, 0.00648, + 0.00874, 0.01056, 0.01382, 0.01686, 0.01947, 0.02147, 0.02273, 0.02316, 0.02273, 0.02147, 0.01947, 0.01686, 0.01382, 0.01056, 0.00731, 0.00427, 0.00166, 0.00002, 0.00011, 0.00014, 0.00011, 0.00002, 0.00166, 0.00427, 0.00731, 0.00937, 0.01357, 0.01748, 0.02053, 0.02053, 0.02053, 0.02053, 0.02053, 0.02053, 0.02053, 0.01748, 0.01357, 0.00937, 0.00517, 0.00125, 0.00014, + 0.00032, 0.00043, 0.00047, 0.00043, 0.00032, 0.00014, 0.00125, 0.00517, 0.00703, 0.01427, 0.01541, 0.01541, 0.01541, 0.01541, 0.01541, 0.01458, 0.00703, 0.00001, 0.00045, 0.00073, 0.00084, 0.00074, 0.00045, 0.00004, 0.00220, 0.00483, 0.00483, 0.00483, 0.00483, 0.00483, 0.00220, 0.00037, 0.00047, 0.00048, 0.00047, 0.00037, 0.01066, 0.01064, 0.01196, 0.01251, 0.01196, + 0.01064, 0.00931, 0.00876, 0.00931, 0.01056, 0.01200, 0.01328, 0.01410, 0.01441, 0.01413, 0.01328, 0.01207, 0.01056, 0.00912, 0.00785, 0.00702, 0.00672, 0.00700, 0.00785, 5.31922, 0.01042, 0.01228, 0.01395, 0.01528, 0.01614, 0.01643, 0.01614, 0.01528, 0.01395, 0.01228, 0.01042, 0.00856, 0.00688, 0.00555, 0.00470, 0.00440, 0.00470, 0.00555, 0.00688, 0.00856, 0.01014, + 0.01234, 0.01439, 0.01616, 0.01751, 0.01836, 0.01865, 0.01836, 0.01751, 0.01616, 0.01439, 0.01234, 0.01014, 0.00794, 0.00589, 0.00412, 0.00277, 0.00192, 0.00163, 0.00192, 0.00277, 0.00412, 0.00589, 0.00794, 0.00960, 0.01256, 0.01532, 0.01768, 0.01950, 0.02064, 0.02103, 0.02064, 0.01950, 0.01768, 0.01532, 0.01256, 0.00960, 0.00664, 0.00388, 0.00151, 0.00002, 0.00010, + 0.00012, 0.00010, 0.00002, 0.00151, 0.00388, 0.00664, 0.00851, 0.01232, 0.01588, 0.01865, 0.01865, 0.01865, 0.01865, 0.01865, 0.01865, 0.01865, 0.01588, 0.01232, 0.00851, 0.00469, 0.00114, 0.00013, 0.00029, 0.00039, 0.00042, 0.00039, 0.00029, 0.00013, 0.00114, 0.00469, 0.00639, 0.01297, 0.01400, 0.01400, 0.01400, 0.01400, 0.01400, 0.01325, 0.00639, 0.00001, 0.00041, + 0.00066, 0.00076, 0.00067, 0.00041, 0.00003, 0.00200, 0.00439, 0.00439, 0.00439, 0.00439, 0.00439, 0.00200, 0.00034, 0.00043, 0.00044, 0.00043, 0.00034, 0.00920, 0.00918, 0.01033, 0.01080, 0.01033, 0.00918, 0.00804, 0.00756, 0.00804, 0.00912, 0.01036, 0.01147, 0.01218, 0.01244, 0.01220, 0.01147, 0.01042, 0.00912, 0.00788, 0.00677, 0.00606, 0.00580, 0.00604, 0.00677, + 0.00782, 5.01245, 0.01060, 0.01205, 0.01320, 0.01393, 0.01419, 0.01393, 0.01320, 0.01205, 0.01060, 0.00900, 0.00739, 0.00594, 0.00479, 0.00406, 0.00380, 0.00406, 0.00479, 0.00594, 0.00739, 0.00876, 0.01066, 0.01243, 0.01395, 0.01512, 0.01585, 0.01610, 0.01585, 0.01512, 0.01395, 0.01243, 0.01066, 0.00876, 0.00685, 0.00508, 0.00356, 0.00239, 0.00166, 0.00141, 0.00166, + 0.00239, 0.00356, 0.00508, 0.00685, 0.00829, 0.01085, 0.01323, 0.01527, 0.01684, 0.01783, 0.01817, 0.01783, 0.01684, 0.01527, 0.01323, 0.01085, 0.00829, 0.00573, 0.00335, 0.00130, 0.00002, 0.00009, 0.00011, 0.00009, 0.00002, 0.00130, 0.00335, 0.00573, 0.00735, 0.01065, 0.01372, 0.01611, 0.01611, 0.01611, 0.01611, 0.01611, 0.01611, 0.01611, 0.01372, 0.01065, 0.00735, + 0.00406, 0.00098, 0.00011, 0.00025, 0.00034, 0.00037, 0.00034, 0.00025, 0.00011, 0.00098, 0.00406, 0.00552, 0.01120, 0.01210, 0.01210, 0.01210, 0.01210, 0.01210, 0.01145, 0.00552, 0.00001, 0.00035, 0.00057, 0.00066, 0.00058, 0.00035, 0.00003, 0.00173, 0.00379, 0.00379, 0.00379, 0.00379, 0.00379, 0.00173, 0.00029, 0.00037, 0.00038, 0.00037, 0.00029, 0.00756, 0.00754, + 0.00848, 0.00887, 0.00848, 0.00754, 0.00660, 0.00621, 0.00660, 0.00749, 0.00852, 0.00942, 0.01000, 0.01022, 0.01002, 0.00942, 0.00856, 0.00749, 0.00647, 0.00556, 0.00498, 0.00477, 0.00496, 0.00556, 0.00643, 0.00739, 5.01217, 0.00990, 0.01084, 0.01145, 0.01166, 0.01145, 0.01084, 0.00990, 0.00871, 0.00739, 0.00607, 0.00488, 0.00394, 0.00333, 0.00312, 0.00333, 0.00394, + 0.00488, 0.00607, 0.00719, 0.00876, 0.01021, 0.01146, 0.01242, 0.01302, 0.01323, 0.01302, 0.01242, 0.01146, 0.01021, 0.00876, 0.00719, 0.00563, 0.00418, 0.00293, 0.00197, 0.00136, 0.00116, 0.00136, 0.00197, 0.00293, 0.00418, 0.00563, 0.00681, 0.00891, 0.01087, 0.01255, 0.01384, 0.01465, 0.01493, 0.01465, 0.01384, 0.01255, 0.01087, 0.00891, 0.00681, 0.00471, 0.00275, + 0.00107, 0.00001, 0.00007, 0.00009, 0.00007, 0.00001, 0.00107, 0.00275, 0.00471, 0.00604, 0.00875, 0.01127, 0.01324, 0.01324, 0.01324, 0.01324, 0.01324, 0.01324, 0.01324, 0.01127, 0.00875, 0.00604, 0.00333, 0.00081, 0.00009, 0.00021, 0.00028, 0.00030, 0.00028, 0.00021, 0.00009, 0.00081, 0.00333, 0.00454, 0.00920, 0.00994, 0.00994, 0.00994, 0.00994, 0.00994, 0.00941, + 0.00454, 0.00001, 0.00029, 0.00047, 0.00054, 0.00048, 0.00029, 0.00002, 0.00142, 0.00312, 0.00312, 0.00312, 0.00312, 0.00312, 0.00142, 0.00024, 0.00031, 0.00031, 0.00031, 0.00024, 0.00608, 0.00607, 0.00682, 0.00714, 0.00682, 0.00607, 0.00531, 0.00500, 0.00531, 0.00603, 0.00685, 0.00758, 0.00804, 0.00822, 0.00806, 0.00758, 0.00688, 0.00603, 0.00520, 0.00447, 0.00401, + 0.00383, 0.00399, 0.00447, 0.00517, 0.00594, 0.00700, 5.01142, 0.00872, 0.00921, 0.00937, 0.00921, 0.00872, 0.00796, 0.00700, 0.00594, 0.00488, 0.00393, 0.00317, 0.00268, 0.00251, 0.00268, 0.00317, 0.00393, 0.00488, 0.00578, 0.00704, 0.00821, 0.00922, 0.00999, 0.01047, 0.01064, 0.01047, 0.00999, 0.00922, 0.00821, 0.00704, 0.00578, 0.00453, 0.00336, 0.00235, 0.00158, + 0.00110, 0.00093, 0.00110, 0.00158, 0.00235, 0.00336, 0.00453, 0.00548, 0.00717, 0.00874, 0.01009, 0.01113, 0.01178, 0.01200, 0.01178, 0.01113, 0.01009, 0.00874, 0.00717, 0.00548, 0.00379, 0.00221, 0.00086, 0.00001, 0.00006, 0.00007, 0.00006, 0.00001, 0.00086, 0.00221, 0.00379, 0.00486, 0.00703, 0.00906, 0.01065, 0.01064, 0.01064, 0.01064, 0.01064, 0.01064, 0.01065, + 0.00906, 0.00703, 0.00486, 0.00268, 0.00065, 0.00007, 0.00017, 0.00022, 0.00024, 0.00022, 0.00017, 0.00007, 0.00065, 0.00268, 0.00365, 0.00740, 0.00799, 0.00799, 0.00799, 0.00799, 0.00799, 0.00756, 0.00365, 0.00001, 0.00023, 0.00038, 0.00043, 0.00038, 0.00023, 0.00002, 0.00114, 0.00251, 0.00251, 0.00251, 0.00251, 0.00251, 0.00114, 0.00019, 0.00025, 0.00025, 0.00025, + 0.00019, 0.00490, 0.00489, 0.00550, 0.00576, 0.00550, 0.00489, 0.00428, 0.00403, 0.00428, 0.00486, 0.00552, 0.00611, 0.00649, 0.00663, 0.00650, 0.00611, 0.00555, 0.00486, 0.00420, 0.00361, 0.00323, 0.00309, 0.00322, 0.00361, 0.00417, 0.00479, 0.00565, 0.00642, 5.01049, 0.00743, 0.00756, 0.00743, 0.00703, 0.00642, 0.00565, 0.00479, 0.00394, 0.00317, 0.00255, 0.00216, + 0.00203, 0.00216, 0.00255, 0.00317, 0.00394, 0.00467, 0.00568, 0.00662, 0.00743, 0.00806, 0.00845, 0.00858, 0.00845, 0.00806, 0.00743, 0.00662, 0.00568, 0.00467, 0.00365, 0.00271, 0.00190, 0.00128, 0.00088, 0.00075, 0.00088, 0.00128, 0.00190, 0.00271, 0.00365, 0.00442, 0.00578, 0.00705, 0.00814, 0.00898, 0.00950, 0.00968, 0.00950, 0.00898, 0.00814, 0.00705, 0.00578, + 0.00442, 0.00305, 0.00179, 0.00069, 0.00001, 0.00005, 0.00006, 0.00005, 0.00001, 0.00069, 0.00179, 0.00305, 0.00392, 0.00567, 0.00731, 0.00859, 0.00859, 0.00859, 0.00858, 0.00859, 0.00859, 0.00859, 0.00731, 0.00567, 0.00392, 0.00216, 0.00052, 0.00006, 0.00013, 0.00018, 0.00019, 0.00018, 0.00013, 0.00006, 0.00052, 0.00216, 0.00294, 0.00597, 0.00645, 0.00645, 0.00645, + 0.00645, 0.00645, 0.00610, 0.00294, 0.00001, 0.00019, 0.00031, 0.00035, 0.00031, 0.00019, 0.00001, 0.00092, 0.00202, 0.00202, 0.00202, 0.00202, 0.00202, 0.00092, 0.00016, 0.00020, 0.00020, 0.00020, 0.00016, 0.00415, 0.00414, 0.00466, 0.00487, 0.00466, 0.00414, 0.00362, 0.00341, 0.00362, 0.00411, 0.00467, 0.00517, 0.00549, 0.00561, 0.00550, 0.00517, 0.00470, 0.00411, + 0.00355, 0.00305, 0.00273, 0.00262, 0.00272, 0.00305, 0.00353, 0.00406, 0.00478, 0.00543, 0.00595, 5.00974, 0.00640, 0.00628, 0.00595, 0.00543, 0.00478, 0.00406, 0.00333, 0.00268, 0.00216, 0.00183, 0.00171, 0.00183, 0.00216, 0.00268, 0.00333, 0.00395, 0.00481, 0.00560, 0.00629, 0.00682, 0.00715, 0.00726, 0.00715, 0.00682, 0.00629, 0.00560, 0.00481, 0.00395, 0.00309, + 0.00229, 0.00161, 0.00108, 0.00075, 0.00064, 0.00075, 0.00108, 0.00161, 0.00229, 0.00309, 0.00374, 0.00489, 0.00596, 0.00689, 0.00760, 0.00804, 0.00819, 0.00804, 0.00760, 0.00689, 0.00596, 0.00489, 0.00374, 0.00258, 0.00151, 0.00059, 0.00001, 0.00004, 0.00005, 0.00004, 0.00001, 0.00059, 0.00151, 0.00258, 0.00331, 0.00480, 0.00619, 0.00727, 0.00726, 0.00726, 0.00726, + 0.00726, 0.00726, 0.00727, 0.00619, 0.00480, 0.00331, 0.00183, 0.00044, 0.00005, 0.00011, 0.00015, 0.00016, 0.00015, 0.00011, 0.00005, 0.00044, 0.00183, 0.00249, 0.00505, 0.00546, 0.00546, 0.00546, 0.00546, 0.00546, 0.00516, 0.00249, 0.00000, 0.00016, 0.00026, 0.00030, 0.00026, 0.00016, 0.00001, 0.00078, 0.00171, 0.00171, 0.00171, 0.00171, 0.00171, 0.00078, 0.00013, + 0.00017, 0.00017, 0.00017, 0.00013, 0.00389, 0.00388, 0.00436, 0.00457, 0.00436, 0.00388, 0.00340, 0.00320, 0.00340, 0.00385, 0.00438, 0.00485, 0.00515, 0.00526, 0.00516, 0.00485, 0.00440, 0.00385, 0.00333, 0.00286, 0.00256, 0.00245, 0.00255, 0.00286, 0.00331, 0.00380, 0.00448, 0.00509, 0.00558, 0.00589, 5.00946, 0.00589, 0.00558, 0.00509, 0.00448, 0.00380, 0.00312, + 0.00251, 0.00203, 0.00171, 0.00161, 0.00171, 0.00203, 0.00251, 0.00312, 0.00370, 0.00450, 0.00525, 0.00590, 0.00639, 0.00670, 0.00681, 0.00670, 0.00639, 0.00590, 0.00525, 0.00450, 0.00370, 0.00290, 0.00215, 0.00150, 0.00101, 0.00070, 0.00060, 0.00070, 0.00101, 0.00150, 0.00215, 0.00290, 0.00350, 0.00458, 0.00559, 0.00646, 0.00712, 0.00754, 0.00768, 0.00754, 0.00712, + 0.00646, 0.00559, 0.00458, 0.00350, 0.00242, 0.00142, 0.00055, 0.00001, 0.00004, 0.00005, 0.00004, 0.00001, 0.00055, 0.00142, 0.00242, 0.00311, 0.00450, 0.00580, 0.00681, 0.00681, 0.00681, 0.00681, 0.00681, 0.00681, 0.00681, 0.00580, 0.00450, 0.00311, 0.00171, 0.00042, 0.00005, 0.00011, 0.00014, 0.00015, 0.00014, 0.00011, 0.00005, 0.00042, 0.00171, 0.00233, 0.00474, + 0.00511, 0.00511, 0.00511, 0.00511, 0.00511, 0.00484, 0.00233, 0.00000, 0.00015, 0.00024, 0.00028, 0.00025, 0.00015, 0.00001, 0.00073, 0.00160, 0.00160, 0.00160, 0.00160, 0.00160, 0.00073, 0.00012, 0.00016, 0.00016, 0.00016, 0.00012, 0.00415, 0.00414, 0.00466, 0.00487, 0.00466, 0.00414, 0.00362, 0.00341, 0.00362, 0.00411, 0.00467, 0.00517, 0.00549, 0.00561, 0.00550, + 0.00517, 0.00470, 0.00411, 0.00355, 0.00305, 0.00273, 0.00262, 0.00272, 0.00305, 0.00353, 0.00406, 0.00478, 0.00543, 0.00595, 0.00628, 0.00640, 5.00974, 0.00595, 0.00543, 0.00478, 0.00406, 0.00333, 0.00268, 0.00216, 0.00183, 0.00171, 0.00183, 0.00216, 0.00268, 0.00333, 0.00395, 0.00481, 0.00560, 0.00629, 0.00682, 0.00715, 0.00726, 0.00715, 0.00682, 0.00629, 0.00560, + 0.00481, 0.00395, 0.00309, 0.00229, 0.00161, 0.00108, 0.00075, 0.00064, 0.00075, 0.00108, 0.00161, 0.00229, 0.00309, 0.00374, 0.00489, 0.00596, 0.00689, 0.00760, 0.00804, 0.00819, 0.00804, 0.00760, 0.00689, 0.00596, 0.00489, 0.00374, 0.00258, 0.00151, 0.00059, 0.00001, 0.00004, 0.00005, 0.00004, 0.00001, 0.00059, 0.00151, 0.00258, 0.00331, 0.00480, 0.00619, 0.00727, + 0.00726, 0.00726, 0.00726, 0.00726, 0.00726, 0.00727, 0.00619, 0.00480, 0.00331, 0.00183, 0.00044, 0.00005, 0.00011, 0.00015, 0.00016, 0.00015, 0.00011, 0.00005, 0.00044, 0.00183, 0.00249, 0.00505, 0.00546, 0.00546, 0.00546, 0.00546, 0.00546, 0.00516, 0.00249, 0.00000, 0.00016, 0.00026, 0.00030, 0.00026, 0.00016, 0.00001, 0.00078, 0.00171, 0.00171, 0.00171, 0.00171, + 0.00171, 0.00078, 0.00013, 0.00017, 0.00017, 0.00017, 0.00013, 0.00490, 0.00489, 0.00550, 0.00576, 0.00550, 0.00489, 0.00428, 0.00403, 0.00428, 0.00486, 0.00552, 0.00611, 0.00649, 0.00663, 0.00650, 0.00611, 0.00555, 0.00486, 0.00420, 0.00361, 0.00323, 0.00309, 0.00322, 0.00361, 0.00417, 0.00479, 0.00565, 0.00642, 0.00703, 0.00743, 0.00756, 0.00743, 5.01049, 0.00642, + 0.00565, 0.00479, 0.00394, 0.00317, 0.00255, 0.00216, 0.00203, 0.00216, 0.00255, 0.00317, 0.00394, 0.00467, 0.00568, 0.00662, 0.00743, 0.00806, 0.00845, 0.00858, 0.00845, 0.00806, 0.00743, 0.00662, 0.00568, 0.00467, 0.00365, 0.00271, 0.00190, 0.00128, 0.00088, 0.00075, 0.00088, 0.00128, 0.00190, 0.00271, 0.00365, 0.00442, 0.00578, 0.00705, 0.00814, 0.00898, 0.00950, + 0.00968, 0.00950, 0.00898, 0.00814, 0.00705, 0.00578, 0.00442, 0.00305, 0.00179, 0.00069, 0.00001, 0.00005, 0.00006, 0.00005, 0.00001, 0.00069, 0.00179, 0.00305, 0.00392, 0.00567, 0.00731, 0.00859, 0.00859, 0.00859, 0.00858, 0.00859, 0.00859, 0.00859, 0.00731, 0.00567, 0.00392, 0.00216, 0.00052, 0.00006, 0.00013, 0.00018, 0.00019, 0.00018, 0.00013, 0.00006, 0.00052, + 0.00216, 0.00294, 0.00597, 0.00645, 0.00645, 0.00645, 0.00645, 0.00645, 0.00610, 0.00294, 0.00001, 0.00019, 0.00031, 0.00035, 0.00031, 0.00019, 0.00001, 0.00092, 0.00202, 0.00202, 0.00202, 0.00202, 0.00202, 0.00092, 0.00016, 0.00020, 0.00020, 0.00020, 0.00016, 0.00608, 0.00607, 0.00682, 0.00714, 0.00682, 0.00607, 0.00531, 0.00500, 0.00531, 0.00603, 0.00685, 0.00758, + 0.00804, 0.00822, 0.00806, 0.00758, 0.00688, 0.00603, 0.00520, 0.00447, 0.00401, 0.00383, 0.00399, 0.00447, 0.00517, 0.00594, 0.00700, 0.00796, 0.00872, 0.00921, 0.00937, 0.00921, 0.00872, 5.01142, 0.00700, 0.00594, 0.00488, 0.00393, 0.00317, 0.00268, 0.00251, 0.00268, 0.00317, 0.00393, 0.00488, 0.00578, 0.00704, 0.00821, 0.00922, 0.00999, 0.01047, 0.01064, 0.01047, + 0.00999, 0.00922, 0.00821, 0.00704, 0.00578, 0.00453, 0.00336, 0.00235, 0.00158, 0.00110, 0.00093, 0.00110, 0.00158, 0.00235, 0.00336, 0.00453, 0.00548, 0.00717, 0.00874, 0.01009, 0.01113, 0.01178, 0.01200, 0.01178, 0.01113, 0.01009, 0.00874, 0.00717, 0.00548, 0.00379, 0.00221, 0.00086, 0.00001, 0.00006, 0.00007, 0.00006, 0.00001, 0.00086, 0.00221, 0.00379, 0.00486, + 0.00703, 0.00906, 0.01065, 0.01064, 0.01064, 0.01064, 0.01064, 0.01064, 0.01065, 0.00906, 0.00703, 0.00486, 0.00268, 0.00065, 0.00007, 0.00017, 0.00022, 0.00024, 0.00022, 0.00017, 0.00007, 0.00065, 0.00268, 0.00365, 0.00740, 0.00799, 0.00799, 0.00799, 0.00799, 0.00799, 0.00756, 0.00365, 0.00001, 0.00023, 0.00038, 0.00043, 0.00038, 0.00023, 0.00002, 0.00114, 0.00251, + 0.00251, 0.00251, 0.00251, 0.00251, 0.00114, 0.00019, 0.00025, 0.00025, 0.00025, 0.00019, 0.00756, 0.00754, 0.00848, 0.00887, 0.00848, 0.00754, 0.00660, 0.00621, 0.00660, 0.00749, 0.00852, 0.00942, 0.01000, 0.01022, 0.01002, 0.00942, 0.00856, 0.00749, 0.00647, 0.00556, 0.00498, 0.00477, 0.00496, 0.00556, 0.00643, 0.00739, 0.00871, 0.00990, 0.01084, 0.01145, 0.01166, + 0.01145, 0.01084, 0.00990, 5.01217, 0.00739, 0.00607, 0.00488, 0.00394, 0.00333, 0.00312, 0.00333, 0.00394, 0.00488, 0.00607, 0.00719, 0.00876, 0.01021, 0.01146, 0.01242, 0.01302, 0.01323, 0.01302, 0.01242, 0.01146, 0.01021, 0.00876, 0.00719, 0.00563, 0.00418, 0.00293, 0.00197, 0.00136, 0.00116, 0.00136, 0.00197, 0.00293, 0.00418, 0.00563, 0.00681, 0.00891, 0.01087, + 0.01255, 0.01384, 0.01465, 0.01493, 0.01465, 0.01384, 0.01255, 0.01087, 0.00891, 0.00681, 0.00471, 0.00275, 0.00107, 0.00001, 0.00007, 0.00009, 0.00007, 0.00001, 0.00107, 0.00275, 0.00471, 0.00604, 0.00875, 0.01127, 0.01324, 0.01324, 0.01324, 0.01324, 0.01324, 0.01324, 0.01324, 0.01127, 0.00875, 0.00604, 0.00333, 0.00081, 0.00009, 0.00021, 0.00028, 0.00030, 0.00028, + 0.00021, 0.00009, 0.00081, 0.00333, 0.00454, 0.00920, 0.00994, 0.00994, 0.00994, 0.00994, 0.00994, 0.00941, 0.00454, 0.00001, 0.00029, 0.00047, 0.00054, 0.00048, 0.00029, 0.00002, 0.00142, 0.00312, 0.00312, 0.00312, 0.00312, 0.00312, 0.00142, 0.00024, 0.00031, 0.00031, 0.00031, 0.00024, 0.00920, 0.00918, 0.01033, 0.01080, 0.01033, 0.00918, 0.00804, 0.00756, 0.00804, + 0.00912, 0.01036, 0.01147, 0.01218, 0.01244, 0.01220, 0.01147, 0.01042, 0.00912, 0.00788, 0.00677, 0.00606, 0.00580, 0.00604, 0.00677, 0.00782, 0.00900, 0.01060, 0.01205, 0.01320, 0.01393, 0.01419, 0.01393, 0.01320, 0.01205, 0.01060, 5.01245, 0.00739, 0.00594, 0.00479, 0.00406, 0.00380, 0.00406, 0.00479, 0.00594, 0.00739, 0.00876, 0.01066, 0.01243, 0.01395, 0.01512, + 0.01585, 0.01610, 0.01585, 0.01512, 0.01395, 0.01243, 0.01066, 0.00876, 0.00685, 0.00508, 0.00356, 0.00239, 0.00166, 0.00141, 0.00166, 0.00239, 0.00356, 0.00508, 0.00685, 0.00829, 0.01085, 0.01323, 0.01527, 0.01684, 0.01783, 0.01817, 0.01783, 0.01684, 0.01527, 0.01323, 0.01085, 0.00829, 0.00573, 0.00335, 0.00130, 0.00002, 0.00009, 0.00011, 0.00009, 0.00002, 0.00130, + 0.00335, 0.00573, 0.00735, 0.01065, 0.01372, 0.01611, 0.01611, 0.01611, 0.01611, 0.01611, 0.01611, 0.01611, 0.01372, 0.01065, 0.00735, 0.00406, 0.00098, 0.00011, 0.00025, 0.00034, 0.00037, 0.00034, 0.00025, 0.00011, 0.00098, 0.00406, 0.00552, 0.01120, 0.01210, 0.01210, 0.01210, 0.01210, 0.01210, 0.01145, 0.00552, 0.00001, 0.00035, 0.00057, 0.00066, 0.00058, 0.00035, + 0.00003, 0.00173, 0.00379, 0.00379, 0.00379, 0.00379, 0.00379, 0.00173, 0.00029, 0.00037, 0.00038, 0.00037, 0.00029, 0.01084, 0.01082, 0.01217, 0.01273, 0.01217, 0.01082, 0.00947, 0.00891, 0.00947, 0.01075, 0.01221, 0.01351, 0.01435, 0.01466, 0.01438, 0.01351, 0.01228, 0.01075, 0.00928, 0.00798, 0.00715, 0.00684, 0.00712, 0.00798, 0.00922, 0.01060, 0.01249, 0.01420, + 0.01555, 0.01642, 0.01672, 0.01642, 0.01555, 0.01420, 0.01249, 0.01060, 5.01217, 0.00700, 0.00565, 0.00478, 0.00448, 0.00478, 0.00565, 0.00700, 0.00871, 0.01032, 0.01256, 0.01465, 0.01644, 0.01782, 0.01868, 0.01898, 0.01868, 0.01782, 0.01644, 0.01465, 0.01256, 0.01032, 0.00808, 0.00599, 0.00420, 0.00282, 0.00196, 0.00166, 0.00196, 0.00282, 0.00420, 0.00599, 0.00808, + 0.00977, 0.01278, 0.01559, 0.01800, 0.01985, 0.02101, 0.02141, 0.02101, 0.01985, 0.01800, 0.01559, 0.01278, 0.00977, 0.00676, 0.00395, 0.00154, 0.00002, 0.00010, 0.00013, 0.00010, 0.00002, 0.00154, 0.00395, 0.00676, 0.00866, 0.01255, 0.01616, 0.01899, 0.01899, 0.01898, 0.01898, 0.01898, 0.01899, 0.01899, 0.01616, 0.01255, 0.00866, 0.00478, 0.00116, 0.00013, 0.00029, + 0.00040, 0.00043, 0.00040, 0.00029, 0.00013, 0.00116, 0.00478, 0.00651, 0.01320, 0.01426, 0.01426, 0.01426, 0.01426, 0.01426, 0.01349, 0.00651, 0.00001, 0.00042, 0.00068, 0.00077, 0.00068, 0.00042, 0.00003, 0.00204, 0.00447, 0.00447, 0.00447, 0.00447, 0.00447, 0.00204, 0.00034, 0.00044, 0.00045, 0.00044, 0.00034, 0.01232, 0.01230, 0.01383, 0.01447, 0.01383, 0.01230, + 0.01077, 0.01013, 0.01077, 0.01222, 0.01388, 0.01536, 0.01631, 0.01666, 0.01634, 0.01536, 0.01395, 0.01222, 0.01055, 0.00907, 0.00812, 0.00777, 0.00809, 0.00907, 0.01048, 0.01205, 0.01420, 0.01614, 0.01768, 0.01866, 0.01900, 0.01866, 0.01768, 0.01614, 0.01420, 0.01205, 0.00990, 5.01142, 0.00642, 0.00543, 0.00509, 0.00543, 0.00642, 0.00796, 0.00990, 0.01173, 0.01427, + 0.01665, 0.01869, 0.02025, 0.02123, 0.02157, 0.02123, 0.02025, 0.01869, 0.01665, 0.01427, 0.01173, 0.00918, 0.00681, 0.00477, 0.00321, 0.00222, 0.00189, 0.00222, 0.00321, 0.00477, 0.00681, 0.00918, 0.01110, 0.01453, 0.01772, 0.02046, 0.02256, 0.02388, 0.02433, 0.02388, 0.02256, 0.02046, 0.01772, 0.01453, 0.01110, 0.00768, 0.00449, 0.00175, 0.00002, 0.00011, 0.00014, + 0.00011, 0.00002, 0.00175, 0.00449, 0.00768, 0.00985, 0.01426, 0.01837, 0.02158, 0.02158, 0.02158, 0.02158, 0.02158, 0.02158, 0.02158, 0.01837, 0.01426, 0.00985, 0.00543, 0.00132, 0.00015, 0.00033, 0.00045, 0.00049, 0.00045, 0.00033, 0.00015, 0.00132, 0.00543, 0.00739, 0.01501, 0.01620, 0.01620, 0.01620, 0.01620, 0.01620, 0.01533, 0.00739, 0.00001, 0.00047, 0.00077, + 0.00088, 0.00078, 0.00047, 0.00004, 0.00232, 0.00508, 0.00508, 0.00508, 0.00508, 0.00508, 0.00232, 0.00039, 0.00050, 0.00051, 0.00050, 0.00039, 0.01350, 0.01347, 0.01515, 0.01585, 0.01515, 0.01347, 0.01179, 0.01110, 0.01179, 0.01338, 0.01521, 0.01682, 0.01786, 0.01825, 0.01790, 0.01682, 0.01528, 0.01338, 0.01156, 0.00994, 0.00890, 0.00851, 0.00887, 0.00994, 0.01148, + 0.01320, 0.01555, 0.01768, 0.01936, 0.02044, 0.02082, 0.02044, 0.01936, 0.01768, 0.01555, 0.01320, 0.01084, 0.00872, 5.01049, 0.00595, 0.00558, 0.00595, 0.00703, 0.00872, 0.01084, 0.01285, 0.01564, 0.01824, 0.02047, 0.02218, 0.02326, 0.02363, 0.02326, 0.02218, 0.02047, 0.01824, 0.01564, 0.01285, 0.01006, 0.00746, 0.00522, 0.00351, 0.00243, 0.00207, 0.00243, 0.00351, + 0.00522, 0.00746, 0.01006, 0.01216, 0.01591, 0.01941, 0.02241, 0.02471, 0.02616, 0.02665, 0.02616, 0.02471, 0.02241, 0.01941, 0.01591, 0.01216, 0.00841, 0.00491, 0.00191, 0.00003, 0.00012, 0.00016, 0.00012, 0.00003, 0.00191, 0.00491, 0.00841, 0.01078, 0.01562, 0.02012, 0.02364, 0.02364, 0.02363, 0.02363, 0.02363, 0.02364, 0.02364, 0.02012, 0.01562, 0.01078, 0.00595, + 0.00144, 0.00016, 0.00037, 0.00049, 0.00054, 0.00049, 0.00037, 0.00016, 0.00144, 0.00595, 0.00810, 0.01644, 0.01775, 0.01775, 0.01775, 0.01775, 0.01775, 0.01680, 0.00810, 0.00002, 0.00052, 0.00084, 0.00096, 0.00085, 0.00052, 0.00004, 0.00254, 0.00557, 0.00557, 0.00557, 0.00557, 0.00557, 0.00254, 0.00043, 0.00055, 0.00056, 0.00055, 0.00043, 0.01425, 0.01422, 0.01600, + 0.01673, 0.01600, 0.01422, 0.01245, 0.01172, 0.01245, 0.01413, 0.01606, 0.01777, 0.01886, 0.01927, 0.01890, 0.01777, 0.01614, 0.01413, 0.01220, 0.01049, 0.00940, 0.00899, 0.00936, 0.01049, 0.01212, 0.01393, 0.01642, 0.01866, 0.02044, 0.02159, 0.02198, 0.02159, 0.02044, 0.01866, 0.01642, 0.01393, 0.01145, 0.00921, 0.00743, 5.00974, 0.00589, 0.00628, 0.00743, 0.00921, + 0.01145, 0.01356, 0.01651, 0.01925, 0.02161, 0.02342, 0.02456, 0.02495, 0.02456, 0.02342, 0.02161, 0.01925, 0.01651, 0.01356, 0.01062, 0.00787, 0.00552, 0.00371, 0.00257, 0.00218, 0.00257, 0.00371, 0.00552, 0.00787, 0.01062, 0.01284, 0.01680, 0.02049, 0.02366, 0.02609, 0.02762, 0.02814, 0.02762, 0.02609, 0.02366, 0.02049, 0.01680, 0.01284, 0.00888, 0.00519, 0.00202, + 0.00003, 0.00013, 0.00017, 0.00013, 0.00003, 0.00202, 0.00519, 0.00888, 0.01139, 0.01649, 0.02125, 0.02496, 0.02496, 0.02496, 0.02495, 0.02496, 0.02496, 0.02496, 0.02125, 0.01649, 0.01139, 0.00628, 0.00153, 0.00017, 0.00039, 0.00052, 0.00057, 0.00052, 0.00039, 0.00017, 0.00153, 0.00628, 0.00855, 0.01736, 0.01874, 0.01874, 0.01874, 0.01874, 0.01874, 0.01773, 0.00855, + 0.00002, 0.00055, 0.00089, 0.00102, 0.00090, 0.00055, 0.00004, 0.00268, 0.00588, 0.00588, 0.00588, 0.00588, 0.00588, 0.00268, 0.00045, 0.00058, 0.00059, 0.00058, 0.00045, 0.01451, 0.01448, 0.01629, 0.01704, 0.01629, 0.01448, 0.01268, 0.01193, 0.01268, 0.01439, 0.01635, 0.01809, 0.01921, 0.01962, 0.01924, 0.01809, 0.01643, 0.01439, 0.01243, 0.01068, 0.00957, 0.00915, + 0.00953, 0.01068, 0.01234, 0.01419, 0.01672, 0.01900, 0.02082, 0.02198, 0.02238, 0.02198, 0.02082, 0.01900, 0.01672, 0.01419, 0.01166, 0.00937, 0.00756, 0.00640, 5.00946, 0.00640, 0.00756, 0.00937, 0.01166, 0.01381, 0.01681, 0.01961, 0.02201, 0.02385, 0.02501, 0.02540, 0.02501, 0.02385, 0.02201, 0.01961, 0.01681, 0.01381, 0.01081, 0.00802, 0.00562, 0.00377, 0.00262, + 0.00222, 0.00262, 0.00377, 0.00562, 0.00802, 0.01081, 0.01307, 0.01711, 0.02087, 0.02409, 0.02657, 0.02813, 0.02866, 0.02813, 0.02657, 0.02409, 0.02087, 0.01711, 0.01307, 0.00904, 0.00528, 0.00206, 0.00003, 0.00013, 0.00017, 0.00013, 0.00003, 0.00206, 0.00528, 0.00904, 0.01160, 0.01679, 0.02164, 0.02542, 0.02541, 0.02541, 0.02541, 0.02541, 0.02541, 0.02542, 0.02164, + 0.01679, 0.01160, 0.00640, 0.00155, 0.00018, 0.00039, 0.00053, 0.00058, 0.00053, 0.00039, 0.00018, 0.00155, 0.00640, 0.00871, 0.01767, 0.01908, 0.01908, 0.01908, 0.01908, 0.01908, 0.01806, 0.00871, 0.00002, 0.00056, 0.00091, 0.00104, 0.00092, 0.00056, 0.00004, 0.00273, 0.00598, 0.00599, 0.00599, 0.00599, 0.00598, 0.00273, 0.00046, 0.00059, 0.00060, 0.00059, 0.00046, + 0.01425, 0.01422, 0.01600, 0.01673, 0.01600, 0.01422, 0.01245, 0.01172, 0.01245, 0.01413, 0.01606, 0.01777, 0.01886, 0.01927, 0.01890, 0.01777, 0.01614, 0.01413, 0.01220, 0.01049, 0.00940, 0.00899, 0.00936, 0.01049, 0.01212, 0.01393, 0.01642, 0.01866, 0.02044, 0.02159, 0.02198, 0.02159, 0.02044, 0.01866, 0.01642, 0.01393, 0.01145, 0.00921, 0.00743, 0.00628, 0.00589, + 5.00974, 0.00743, 0.00921, 0.01145, 0.01356, 0.01651, 0.01925, 0.02161, 0.02342, 0.02456, 0.02495, 0.02456, 0.02342, 0.02161, 0.01925, 0.01651, 0.01356, 0.01062, 0.00787, 0.00552, 0.00371, 0.00257, 0.00218, 0.00257, 0.00371, 0.00552, 0.00787, 0.01062, 0.01284, 0.01680, 0.02049, 0.02366, 0.02609, 0.02762, 0.02814, 0.02762, 0.02609, 0.02366, 0.02049, 0.01680, 0.01284, + 0.00888, 0.00519, 0.00202, 0.00003, 0.00013, 0.00017, 0.00013, 0.00003, 0.00202, 0.00519, 0.00888, 0.01139, 0.01649, 0.02125, 0.02496, 0.02496, 0.02496, 0.02495, 0.02496, 0.02496, 0.02496, 0.02125, 0.01649, 0.01139, 0.00628, 0.00153, 0.00017, 0.00039, 0.00052, 0.00057, 0.00052, 0.00039, 0.00017, 0.00153, 0.00628, 0.00855, 0.01736, 0.01874, 0.01874, 0.01874, 0.01874, + 0.01874, 0.01773, 0.00855, 0.00002, 0.00055, 0.00089, 0.00102, 0.00090, 0.00055, 0.00004, 0.00268, 0.00588, 0.00588, 0.00588, 0.00588, 0.00588, 0.00268, 0.00045, 0.00058, 0.00059, 0.00058, 0.00045, 0.01350, 0.01347, 0.01515, 0.01585, 0.01515, 0.01347, 0.01179, 0.01110, 0.01179, 0.01338, 0.01521, 0.01682, 0.01786, 0.01825, 0.01790, 0.01682, 0.01528, 0.01338, 0.01156, + 0.00994, 0.00890, 0.00851, 0.00887, 0.00994, 0.01148, 0.01320, 0.01555, 0.01768, 0.01936, 0.02044, 0.02082, 0.02044, 0.01936, 0.01768, 0.01555, 0.01320, 0.01084, 0.00872, 0.00703, 0.00595, 0.00558, 0.00595, 5.01049, 0.00872, 0.01084, 0.01285, 0.01564, 0.01824, 0.02047, 0.02218, 0.02326, 0.02363, 0.02326, 0.02218, 0.02047, 0.01824, 0.01564, 0.01285, 0.01006, 0.00746, + 0.00522, 0.00351, 0.00243, 0.00207, 0.00243, 0.00351, 0.00522, 0.00746, 0.01006, 0.01216, 0.01591, 0.01941, 0.02241, 0.02471, 0.02616, 0.02665, 0.02616, 0.02471, 0.02241, 0.01941, 0.01591, 0.01216, 0.00841, 0.00491, 0.00191, 0.00003, 0.00012, 0.00016, 0.00012, 0.00003, 0.00191, 0.00491, 0.00841, 0.01078, 0.01562, 0.02012, 0.02364, 0.02364, 0.02363, 0.02363, 0.02363, + 0.02364, 0.02364, 0.02012, 0.01562, 0.01078, 0.00595, 0.00144, 0.00016, 0.00037, 0.00049, 0.00054, 0.00049, 0.00037, 0.00016, 0.00144, 0.00595, 0.00810, 0.01644, 0.01775, 0.01775, 0.01775, 0.01775, 0.01775, 0.01680, 0.00810, 0.00002, 0.00052, 0.00084, 0.00096, 0.00085, 0.00052, 0.00004, 0.00254, 0.00557, 0.00557, 0.00557, 0.00557, 0.00557, 0.00254, 0.00043, 0.00055, + 0.00056, 0.00055, 0.00043, 0.01232, 0.01230, 0.01383, 0.01447, 0.01383, 0.01230, 0.01077, 0.01013, 0.01077, 0.01222, 0.01388, 0.01536, 0.01631, 0.01666, 0.01634, 0.01536, 0.01395, 0.01222, 0.01055, 0.00907, 0.00812, 0.00777, 0.00809, 0.00907, 0.01048, 0.01205, 0.01420, 0.01614, 0.01768, 0.01866, 0.01900, 0.01866, 0.01768, 0.01614, 0.01420, 0.01205, 0.00990, 0.00796, + 0.00642, 0.00543, 0.00509, 0.00543, 0.00642, 5.01142, 0.00990, 0.01173, 0.01427, 0.01665, 0.01869, 0.02025, 0.02123, 0.02157, 0.02123, 0.02025, 0.01869, 0.01665, 0.01427, 0.01173, 0.00918, 0.00681, 0.00477, 0.00321, 0.00222, 0.00189, 0.00222, 0.00321, 0.00477, 0.00681, 0.00918, 0.01110, 0.01453, 0.01772, 0.02046, 0.02256, 0.02388, 0.02433, 0.02388, 0.02256, 0.02046, + 0.01772, 0.01453, 0.01110, 0.00768, 0.00449, 0.00175, 0.00002, 0.00011, 0.00014, 0.00011, 0.00002, 0.00175, 0.00449, 0.00768, 0.00985, 0.01426, 0.01837, 0.02158, 0.02158, 0.02158, 0.02158, 0.02158, 0.02158, 0.02158, 0.01837, 0.01426, 0.00985, 0.00543, 0.00132, 0.00015, 0.00033, 0.00045, 0.00049, 0.00045, 0.00033, 0.00015, 0.00132, 0.00543, 0.00739, 0.01501, 0.01620, + 0.01620, 0.01620, 0.01620, 0.01620, 0.01533, 0.00739, 0.00001, 0.00047, 0.00077, 0.00088, 0.00078, 0.00047, 0.00004, 0.00232, 0.00508, 0.00508, 0.00508, 0.00508, 0.00508, 0.00232, 0.00039, 0.00050, 0.00051, 0.00050, 0.00039, 0.01084, 0.01082, 0.01217, 0.01273, 0.01217, 0.01082, 0.00947, 0.00891, 0.00947, 0.01075, 0.01221, 0.01351, 0.01435, 0.01466, 0.01438, 0.01351, + 0.01228, 0.01075, 0.00928, 0.00798, 0.00715, 0.00684, 0.00712, 0.00798, 0.00922, 0.01060, 0.01249, 0.01420, 0.01555, 0.01642, 0.01672, 0.01642, 0.01555, 0.01420, 0.01249, 0.01060, 0.00871, 0.00700, 0.00565, 0.00478, 0.00448, 0.00478, 0.00565, 0.00700, 5.01217, 0.01032, 0.01256, 0.01465, 0.01644, 0.01782, 0.01868, 0.01898, 0.01868, 0.01782, 0.01644, 0.01465, 0.01256, + 0.01032, 0.00808, 0.00599, 0.00420, 0.00282, 0.00196, 0.00166, 0.00196, 0.00282, 0.00420, 0.00599, 0.00808, 0.00977, 0.01278, 0.01559, 0.01800, 0.01985, 0.02101, 0.02141, 0.02101, 0.01985, 0.01800, 0.01559, 0.01278, 0.00977, 0.00676, 0.00395, 0.00154, 0.00002, 0.00010, 0.00013, 0.00010, 0.00002, 0.00154, 0.00395, 0.00676, 0.00866, 0.01255, 0.01616, 0.01899, 0.01899, + 0.01898, 0.01898, 0.01898, 0.01899, 0.01899, 0.01616, 0.01255, 0.00866, 0.00478, 0.00116, 0.00013, 0.00029, 0.00040, 0.00043, 0.00040, 0.00029, 0.00013, 0.00116, 0.00478, 0.00651, 0.01320, 0.01426, 0.01426, 0.01426, 0.01426, 0.01426, 0.01349, 0.00651, 0.00001, 0.00042, 0.00068, 0.00077, 0.00068, 0.00042, 0.00003, 0.00204, 0.00447, 0.00447, 0.00447, 0.00447, 0.00447, + 0.00204, 0.00034, 0.00044, 0.00045, 0.00044, 0.00034, 0.00895, 0.00894, 0.01005, 0.01051, 0.01005, 0.00894, 0.00782, 0.00736, 0.00782, 0.00888, 0.01009, 0.01116, 0.01185, 0.01211, 0.01187, 0.01116, 0.01014, 0.00888, 0.00767, 0.00659, 0.00590, 0.00565, 0.00588, 0.00659, 0.00761, 0.00876, 0.01032, 0.01173, 0.01285, 0.01356, 0.01381, 0.01356, 0.01285, 0.01173, 0.01032, + 0.00876, 0.00719, 0.00578, 0.00467, 0.00395, 0.00370, 0.00395, 0.00467, 0.00578, 0.00719, 5.62245, 0.01038, 0.01210, 0.01358, 0.01472, 0.01543, 0.01568, 0.01543, 0.01472, 0.01358, 0.01210, 0.01038, 0.00852, 0.00667, 0.00495, 0.00347, 0.00233, 0.00162, 0.00137, 0.00162, 0.00233, 0.00347, 0.00495, 0.00667, 0.00807, 0.01056, 0.01288, 0.01487, 0.01640, 0.01736, 0.01769, + 0.01736, 0.01640, 0.01487, 0.01288, 0.01056, 0.00807, 0.00558, 0.00326, 0.00127, 0.00002, 0.00008, 0.00011, 0.00008, 0.00002, 0.00127, 0.00326, 0.00558, 0.00716, 0.01037, 0.01336, 0.01569, 0.01569, 0.01569, 0.01569, 0.01569, 0.01569, 0.01569, 0.01336, 0.01037, 0.00716, 0.00395, 0.00096, 0.00011, 0.00024, 0.00033, 0.00036, 0.00033, 0.00024, 0.00011, 0.00096, 0.00395, + 0.00538, 0.01092, 0.01179, 0.01179, 0.01179, 0.01179, 0.01179, 0.01116, 0.00538, 0.00001, 0.00035, 0.00056, 0.00064, 0.00057, 0.00035, 0.00003, 0.00169, 0.00370, 0.00370, 0.00370, 0.00370, 0.00370, 0.00169, 0.00029, 0.00036, 0.00037, 0.00036, 0.00029, 0.00701, 0.00700, 0.00787, 0.00823, 0.00787, 0.00700, 0.00612, 0.00576, 0.00612, 0.00695, 0.00790, 0.00874, 0.00928, + 0.00948, 0.00929, 0.00874, 0.00794, 0.00695, 0.00600, 0.00516, 0.00462, 0.00442, 0.00460, 0.00516, 0.00596, 0.00685, 0.00808, 0.00918, 0.01006, 0.01062, 0.01081, 0.01062, 0.01006, 0.00918, 0.00808, 0.00685, 0.00563, 0.00453, 0.00365, 0.00309, 0.00290, 0.00309, 0.00365, 0.00453, 0.00563, 0.00667, 5.62204, 0.00947, 0.01063, 0.01152, 0.01208, 0.01227, 0.01208, 0.01152, + 0.01063, 0.00947, 0.00812, 0.00667, 0.00522, 0.00387, 0.00271, 0.00182, 0.00126, 0.00107, 0.00126, 0.00182, 0.00271, 0.00387, 0.00522, 0.00632, 0.00827, 0.01008, 0.01164, 0.01284, 0.01359, 0.01385, 0.01359, 0.01284, 0.01164, 0.01008, 0.00827, 0.00632, 0.00437, 0.00255, 0.00099, 0.00001, 0.00006, 0.00008, 0.00006, 0.00001, 0.00099, 0.00255, 0.00437, 0.00561, 0.00812, + 0.01046, 0.01229, 0.01228, 0.01228, 0.01228, 0.01228, 0.01228, 0.01229, 0.01046, 0.00812, 0.00561, 0.00309, 0.00075, 0.00009, 0.00019, 0.00026, 0.00028, 0.00026, 0.00019, 0.00009, 0.00075, 0.00309, 0.00421, 0.00855, 0.00923, 0.00923, 0.00923, 0.00923, 0.00923, 0.00873, 0.00421, 0.00001, 0.00027, 0.00044, 0.00050, 0.00044, 0.00027, 0.00002, 0.00132, 0.00290, 0.00290, + 0.00290, 0.00290, 0.00290, 0.00132, 0.00022, 0.00028, 0.00029, 0.00028, 0.00022, 0.00520, 0.00519, 0.00583, 0.00610, 0.00583, 0.00519, 0.00454, 0.00427, 0.00454, 0.00515, 0.00586, 0.00648, 0.00688, 0.00703, 0.00689, 0.00648, 0.00589, 0.00515, 0.00445, 0.00383, 0.00343, 0.00328, 0.00341, 0.00383, 0.00442, 0.00508, 0.00599, 0.00681, 0.00746, 0.00787, 0.00802, 0.00787, + 0.00746, 0.00681, 0.00599, 0.00508, 0.00418, 0.00336, 0.00271, 0.00229, 0.00215, 0.00229, 0.00271, 0.00336, 0.00418, 0.00495, 0.00602, 5.62094, 0.00788, 0.00854, 0.00896, 0.00910, 0.00896, 0.00854, 0.00788, 0.00702, 0.00602, 0.00495, 0.00387, 0.00287, 0.00201, 0.00135, 0.00094, 0.00080, 0.00094, 0.00135, 0.00201, 0.00287, 0.00387, 0.00469, 0.00613, 0.00748, 0.00863, + 0.00952, 0.01008, 0.01027, 0.01008, 0.00952, 0.00863, 0.00748, 0.00613, 0.00469, 0.00324, 0.00189, 0.00074, 0.00001, 0.00005, 0.00006, 0.00005, 0.00001, 0.00074, 0.00189, 0.00324, 0.00416, 0.00602, 0.00776, 0.00911, 0.00911, 0.00911, 0.00911, 0.00911, 0.00911, 0.00911, 0.00776, 0.00602, 0.00416, 0.00229, 0.00056, 0.00006, 0.00014, 0.00019, 0.00021, 0.00019, 0.00014, + 0.00006, 0.00056, 0.00229, 0.00312, 0.00634, 0.00684, 0.00684, 0.00684, 0.00684, 0.00684, 0.00648, 0.00312, 0.00001, 0.00020, 0.00032, 0.00037, 0.00033, 0.00020, 0.00002, 0.00098, 0.00215, 0.00215, 0.00215, 0.00215, 0.00215, 0.00098, 0.00017, 0.00021, 0.00021, 0.00021, 0.00017, 0.00364, 0.00363, 0.00409, 0.00427, 0.00409, 0.00363, 0.00318, 0.00299, 0.00318, 0.00361, + 0.00410, 0.00454, 0.00482, 0.00492, 0.00483, 0.00454, 0.00412, 0.00361, 0.00312, 0.00268, 0.00240, 0.00230, 0.00239, 0.00268, 0.00310, 0.00356, 0.00420, 0.00477, 0.00522, 0.00552, 0.00562, 0.00552, 0.00522, 0.00477, 0.00420, 0.00356, 0.00293, 0.00235, 0.00190, 0.00161, 0.00150, 0.00161, 0.00190, 0.00235, 0.00293, 0.00347, 0.00422, 0.00492, 5.61944, 0.00599, 0.00628, + 0.00638, 0.00628, 0.00599, 0.00552, 0.00492, 0.00422, 0.00347, 0.00271, 0.00201, 0.00141, 0.00095, 0.00066, 0.00056, 0.00066, 0.00095, 0.00141, 0.00201, 0.00271, 0.00328, 0.00429, 0.00524, 0.00605, 0.00667, 0.00706, 0.00719, 0.00706, 0.00667, 0.00605, 0.00524, 0.00429, 0.00328, 0.00227, 0.00133, 0.00052, 0.00001, 0.00003, 0.00004, 0.00003, 0.00001, 0.00052, 0.00133, + 0.00227, 0.00291, 0.00422, 0.00543, 0.00638, 0.00638, 0.00638, 0.00638, 0.00638, 0.00638, 0.00638, 0.00543, 0.00422, 0.00291, 0.00161, 0.00039, 0.00004, 0.00010, 0.00013, 0.00014, 0.00013, 0.00010, 0.00004, 0.00039, 0.00161, 0.00219, 0.00444, 0.00479, 0.00479, 0.00479, 0.00479, 0.00479, 0.00454, 0.00219, 0.00000, 0.00014, 0.00023, 0.00026, 0.00023, 0.00014, 0.00001, + 0.00069, 0.00151, 0.00151, 0.00151, 0.00151, 0.00151, 0.00069, 0.00012, 0.00015, 0.00015, 0.00015, 0.00012, 0.00245, 0.00244, 0.00275, 0.00287, 0.00275, 0.00244, 0.00214, 0.00201, 0.00214, 0.00243, 0.00276, 0.00305, 0.00324, 0.00331, 0.00325, 0.00305, 0.00277, 0.00243, 0.00210, 0.00180, 0.00161, 0.00154, 0.00161, 0.00180, 0.00208, 0.00239, 0.00282, 0.00321, 0.00351, + 0.00371, 0.00377, 0.00371, 0.00351, 0.00321, 0.00282, 0.00239, 0.00197, 0.00158, 0.00128, 0.00108, 0.00101, 0.00108, 0.00128, 0.00158, 0.00197, 0.00233, 0.00284, 0.00331, 0.00371, 5.61794, 0.00422, 0.00429, 0.00422, 0.00402, 0.00371, 0.00331, 0.00284, 0.00233, 0.00182, 0.00135, 0.00095, 0.00064, 0.00044, 0.00037, 0.00044, 0.00064, 0.00095, 0.00135, 0.00182, 0.00221, + 0.00289, 0.00352, 0.00407, 0.00448, 0.00475, 0.00484, 0.00475, 0.00448, 0.00407, 0.00352, 0.00289, 0.00221, 0.00153, 0.00089, 0.00035, 0.00000, 0.00002, 0.00003, 0.00002, 0.00000, 0.00035, 0.00089, 0.00153, 0.00196, 0.00283, 0.00365, 0.00429, 0.00429, 0.00429, 0.00429, 0.00429, 0.00429, 0.00429, 0.00365, 0.00283, 0.00196, 0.00108, 0.00026, 0.00003, 0.00007, 0.00009, + 0.00010, 0.00009, 0.00007, 0.00003, 0.00026, 0.00108, 0.00147, 0.00298, 0.00322, 0.00322, 0.00322, 0.00322, 0.00322, 0.00305, 0.00147, 0.00000, 0.00009, 0.00015, 0.00017, 0.00015, 0.00009, 0.00001, 0.00046, 0.00101, 0.00101, 0.00101, 0.00101, 0.00101, 0.00046, 0.00008, 0.00010, 0.00010, 0.00010, 0.00008, 0.00170, 0.00169, 0.00190, 0.00199, 0.00190, 0.00169, 0.00148, + 0.00139, 0.00148, 0.00168, 0.00191, 0.00212, 0.00225, 0.00229, 0.00225, 0.00212, 0.00192, 0.00168, 0.00145, 0.00125, 0.00112, 0.00107, 0.00111, 0.00125, 0.00144, 0.00166, 0.00196, 0.00222, 0.00243, 0.00257, 0.00262, 0.00257, 0.00243, 0.00222, 0.00196, 0.00166, 0.00136, 0.00110, 0.00088, 0.00075, 0.00070, 0.00075, 0.00088, 0.00110, 0.00136, 0.00162, 0.00197, 0.00229, + 0.00257, 0.00279, 5.61685, 0.00297, 0.00292, 0.00279, 0.00257, 0.00229, 0.00197, 0.00162, 0.00126, 0.00094, 0.00066, 0.00044, 0.00031, 0.00026, 0.00031, 0.00044, 0.00066, 0.00094, 0.00126, 0.00153, 0.00200, 0.00244, 0.00282, 0.00311, 0.00329, 0.00335, 0.00329, 0.00311, 0.00282, 0.00244, 0.00200, 0.00153, 0.00106, 0.00062, 0.00024, 0.00000, 0.00002, 0.00002, 0.00002, + 0.00000, 0.00024, 0.00062, 0.00106, 0.00136, 0.00197, 0.00253, 0.00297, 0.00297, 0.00297, 0.00297, 0.00297, 0.00297, 0.00297, 0.00253, 0.00197, 0.00136, 0.00075, 0.00018, 0.00002, 0.00005, 0.00006, 0.00007, 0.00006, 0.00005, 0.00002, 0.00018, 0.00075, 0.00102, 0.00207, 0.00223, 0.00223, 0.00223, 0.00223, 0.00223, 0.00211, 0.00102, 0.00000, 0.00007, 0.00011, 0.00012, + 0.00011, 0.00007, 0.00001, 0.00032, 0.00070, 0.00070, 0.00070, 0.00070, 0.00070, 0.00032, 0.00005, 0.00007, 0.00007, 0.00007, 0.00005, 0.00144, 0.00144, 0.00162, 0.00169, 0.00162, 0.00144, 0.00126, 0.00118, 0.00126, 0.00143, 0.00162, 0.00180, 0.00191, 0.00195, 0.00191, 0.00180, 0.00163, 0.00143, 0.00123, 0.00106, 0.00095, 0.00091, 0.00095, 0.00106, 0.00123, 0.00141, + 0.00166, 0.00189, 0.00207, 0.00218, 0.00222, 0.00218, 0.00207, 0.00189, 0.00166, 0.00141, 0.00116, 0.00093, 0.00075, 0.00064, 0.00060, 0.00064, 0.00075, 0.00093, 0.00116, 0.00137, 0.00167, 0.00195, 0.00219, 0.00237, 0.00248, 5.61644, 0.00248, 0.00237, 0.00219, 0.00195, 0.00167, 0.00137, 0.00107, 0.00080, 0.00056, 0.00037, 0.00026, 0.00022, 0.00026, 0.00037, 0.00056, + 0.00080, 0.00107, 0.00130, 0.00170, 0.00207, 0.00239, 0.00264, 0.00279, 0.00285, 0.00279, 0.00264, 0.00239, 0.00207, 0.00170, 0.00130, 0.00090, 0.00052, 0.00020, 0.00000, 0.00001, 0.00002, 0.00001, 0.00000, 0.00020, 0.00052, 0.00090, 0.00115, 0.00167, 0.00215, 0.00253, 0.00252, 0.00252, 0.00252, 0.00252, 0.00252, 0.00253, 0.00215, 0.00167, 0.00115, 0.00064, 0.00015, + 0.00002, 0.00004, 0.00005, 0.00006, 0.00005, 0.00004, 0.00002, 0.00015, 0.00064, 0.00087, 0.00176, 0.00190, 0.00190, 0.00190, 0.00190, 0.00190, 0.00179, 0.00087, 0.00000, 0.00006, 0.00009, 0.00010, 0.00009, 0.00006, 0.00000, 0.00027, 0.00060, 0.00060, 0.00060, 0.00060, 0.00060, 0.00027, 0.00005, 0.00006, 0.00006, 0.00006, 0.00005, 0.00170, 0.00169, 0.00190, 0.00199, + 0.00190, 0.00169, 0.00148, 0.00139, 0.00148, 0.00168, 0.00191, 0.00212, 0.00225, 0.00229, 0.00225, 0.00212, 0.00192, 0.00168, 0.00145, 0.00125, 0.00112, 0.00107, 0.00111, 0.00125, 0.00144, 0.00166, 0.00196, 0.00222, 0.00243, 0.00257, 0.00262, 0.00257, 0.00243, 0.00222, 0.00196, 0.00166, 0.00136, 0.00110, 0.00088, 0.00075, 0.00070, 0.00075, 0.00088, 0.00110, 0.00136, + 0.00162, 0.00197, 0.00229, 0.00257, 0.00279, 0.00292, 0.00297, 5.61685, 0.00279, 0.00257, 0.00229, 0.00197, 0.00162, 0.00126, 0.00094, 0.00066, 0.00044, 0.00031, 0.00026, 0.00031, 0.00044, 0.00066, 0.00094, 0.00126, 0.00153, 0.00200, 0.00244, 0.00282, 0.00311, 0.00329, 0.00335, 0.00329, 0.00311, 0.00282, 0.00244, 0.00200, 0.00153, 0.00106, 0.00062, 0.00024, 0.00000, + 0.00002, 0.00002, 0.00002, 0.00000, 0.00024, 0.00062, 0.00106, 0.00136, 0.00197, 0.00253, 0.00297, 0.00297, 0.00297, 0.00297, 0.00297, 0.00297, 0.00297, 0.00253, 0.00197, 0.00136, 0.00075, 0.00018, 0.00002, 0.00005, 0.00006, 0.00007, 0.00006, 0.00005, 0.00002, 0.00018, 0.00075, 0.00102, 0.00207, 0.00223, 0.00223, 0.00223, 0.00223, 0.00223, 0.00211, 0.00102, 0.00000, + 0.00007, 0.00011, 0.00012, 0.00011, 0.00007, 0.00001, 0.00032, 0.00070, 0.00070, 0.00070, 0.00070, 0.00070, 0.00032, 0.00005, 0.00007, 0.00007, 0.00007, 0.00005, 0.00245, 0.00244, 0.00275, 0.00287, 0.00275, 0.00244, 0.00214, 0.00201, 0.00214, 0.00243, 0.00276, 0.00305, 0.00324, 0.00331, 0.00325, 0.00305, 0.00277, 0.00243, 0.00210, 0.00180, 0.00161, 0.00154, 0.00161, + 0.00180, 0.00208, 0.00239, 0.00282, 0.00321, 0.00351, 0.00371, 0.00377, 0.00371, 0.00351, 0.00321, 0.00282, 0.00239, 0.00197, 0.00158, 0.00128, 0.00108, 0.00101, 0.00108, 0.00128, 0.00158, 0.00197, 0.00233, 0.00284, 0.00331, 0.00371, 0.00402, 0.00422, 0.00429, 0.00422, 5.61794, 0.00371, 0.00331, 0.00284, 0.00233, 0.00182, 0.00135, 0.00095, 0.00064, 0.00044, 0.00037, + 0.00044, 0.00064, 0.00095, 0.00135, 0.00182, 0.00221, 0.00289, 0.00352, 0.00407, 0.00448, 0.00475, 0.00484, 0.00475, 0.00448, 0.00407, 0.00352, 0.00289, 0.00221, 0.00153, 0.00089, 0.00035, 0.00000, 0.00002, 0.00003, 0.00002, 0.00000, 0.00035, 0.00089, 0.00153, 0.00196, 0.00283, 0.00365, 0.00429, 0.00429, 0.00429, 0.00429, 0.00429, 0.00429, 0.00429, 0.00365, 0.00283, + 0.00196, 0.00108, 0.00026, 0.00003, 0.00007, 0.00009, 0.00010, 0.00009, 0.00007, 0.00003, 0.00026, 0.00108, 0.00147, 0.00298, 0.00322, 0.00322, 0.00322, 0.00322, 0.00322, 0.00305, 0.00147, 0.00000, 0.00009, 0.00015, 0.00017, 0.00015, 0.00009, 0.00001, 0.00046, 0.00101, 0.00101, 0.00101, 0.00101, 0.00101, 0.00046, 0.00008, 0.00010, 0.00010, 0.00010, 0.00008, 0.00364, + 0.00363, 0.00409, 0.00427, 0.00409, 0.00363, 0.00318, 0.00299, 0.00318, 0.00361, 0.00410, 0.00454, 0.00482, 0.00492, 0.00483, 0.00454, 0.00412, 0.00361, 0.00312, 0.00268, 0.00240, 0.00230, 0.00239, 0.00268, 0.00310, 0.00356, 0.00420, 0.00477, 0.00522, 0.00552, 0.00562, 0.00552, 0.00522, 0.00477, 0.00420, 0.00356, 0.00293, 0.00235, 0.00190, 0.00161, 0.00150, 0.00161, + 0.00190, 0.00235, 0.00293, 0.00347, 0.00422, 0.00492, 0.00552, 0.00599, 0.00628, 0.00638, 0.00628, 0.00599, 5.61944, 0.00492, 0.00422, 0.00347, 0.00271, 0.00201, 0.00141, 0.00095, 0.00066, 0.00056, 0.00066, 0.00095, 0.00141, 0.00201, 0.00271, 0.00328, 0.00429, 0.00524, 0.00605, 0.00667, 0.00706, 0.00719, 0.00706, 0.00667, 0.00605, 0.00524, 0.00429, 0.00328, 0.00227, + 0.00133, 0.00052, 0.00001, 0.00003, 0.00004, 0.00003, 0.00001, 0.00052, 0.00133, 0.00227, 0.00291, 0.00422, 0.00543, 0.00638, 0.00638, 0.00638, 0.00638, 0.00638, 0.00638, 0.00638, 0.00543, 0.00422, 0.00291, 0.00161, 0.00039, 0.00004, 0.00010, 0.00013, 0.00014, 0.00013, 0.00010, 0.00004, 0.00039, 0.00161, 0.00219, 0.00444, 0.00479, 0.00479, 0.00479, 0.00479, 0.00479, + 0.00454, 0.00219, 0.00000, 0.00014, 0.00023, 0.00026, 0.00023, 0.00014, 0.00001, 0.00069, 0.00151, 0.00151, 0.00151, 0.00151, 0.00151, 0.00069, 0.00012, 0.00015, 0.00015, 0.00015, 0.00012, 0.00520, 0.00519, 0.00583, 0.00610, 0.00583, 0.00519, 0.00454, 0.00427, 0.00454, 0.00515, 0.00586, 0.00648, 0.00688, 0.00703, 0.00689, 0.00648, 0.00589, 0.00515, 0.00445, 0.00383, + 0.00343, 0.00328, 0.00341, 0.00383, 0.00442, 0.00508, 0.00599, 0.00681, 0.00746, 0.00787, 0.00802, 0.00787, 0.00746, 0.00681, 0.00599, 0.00508, 0.00418, 0.00336, 0.00271, 0.00229, 0.00215, 0.00229, 0.00271, 0.00336, 0.00418, 0.00495, 0.00602, 0.00702, 0.00788, 0.00854, 0.00896, 0.00910, 0.00896, 0.00854, 0.00788, 5.62094, 0.00602, 0.00495, 0.00387, 0.00287, 0.00201, + 0.00135, 0.00094, 0.00080, 0.00094, 0.00135, 0.00201, 0.00287, 0.00387, 0.00469, 0.00613, 0.00748, 0.00863, 0.00952, 0.01008, 0.01027, 0.01008, 0.00952, 0.00863, 0.00748, 0.00613, 0.00469, 0.00324, 0.00189, 0.00074, 0.00001, 0.00005, 0.00006, 0.00005, 0.00001, 0.00074, 0.00189, 0.00324, 0.00416, 0.00602, 0.00776, 0.00911, 0.00911, 0.00911, 0.00911, 0.00911, 0.00911, + 0.00911, 0.00776, 0.00602, 0.00416, 0.00229, 0.00056, 0.00006, 0.00014, 0.00019, 0.00021, 0.00019, 0.00014, 0.00006, 0.00056, 0.00229, 0.00312, 0.00634, 0.00684, 0.00684, 0.00684, 0.00684, 0.00684, 0.00648, 0.00312, 0.00001, 0.00020, 0.00032, 0.00037, 0.00033, 0.00020, 0.00002, 0.00098, 0.00215, 0.00215, 0.00215, 0.00215, 0.00215, 0.00098, 0.00017, 0.00021, 0.00021, + 0.00021, 0.00017, 0.00701, 0.00700, 0.00787, 0.00823, 0.00787, 0.00700, 0.00612, 0.00576, 0.00612, 0.00695, 0.00790, 0.00874, 0.00928, 0.00948, 0.00929, 0.00874, 0.00794, 0.00695, 0.00600, 0.00516, 0.00462, 0.00442, 0.00460, 0.00516, 0.00596, 0.00685, 0.00808, 0.00918, 0.01006, 0.01062, 0.01081, 0.01062, 0.01006, 0.00918, 0.00808, 0.00685, 0.00563, 0.00453, 0.00365, + 0.00309, 0.00290, 0.00309, 0.00365, 0.00453, 0.00563, 0.00667, 0.00812, 0.00947, 0.01063, 0.01152, 0.01208, 0.01227, 0.01208, 0.01152, 0.01063, 0.00947, 5.62204, 0.00667, 0.00522, 0.00387, 0.00271, 0.00182, 0.00126, 0.00107, 0.00126, 0.00182, 0.00271, 0.00387, 0.00522, 0.00632, 0.00827, 0.01008, 0.01164, 0.01284, 0.01359, 0.01385, 0.01359, 0.01284, 0.01164, 0.01008, + 0.00827, 0.00632, 0.00437, 0.00255, 0.00099, 0.00001, 0.00006, 0.00008, 0.00006, 0.00001, 0.00099, 0.00255, 0.00437, 0.00561, 0.00812, 0.01046, 0.01229, 0.01228, 0.01228, 0.01228, 0.01228, 0.01228, 0.01229, 0.01046, 0.00812, 0.00561, 0.00309, 0.00075, 0.00009, 0.00019, 0.00026, 0.00028, 0.00026, 0.00019, 0.00009, 0.00075, 0.00309, 0.00421, 0.00855, 0.00923, 0.00923, + 0.00923, 0.00923, 0.00923, 0.00873, 0.00421, 0.00001, 0.00027, 0.00044, 0.00050, 0.00044, 0.00027, 0.00002, 0.00132, 0.00290, 0.00290, 0.00290, 0.00290, 0.00290, 0.00132, 0.00022, 0.00028, 0.00029, 0.00028, 0.00022, 0.00895, 0.00894, 0.01005, 0.01051, 0.01005, 0.00894, 0.00782, 0.00736, 0.00782, 0.00888, 0.01009, 0.01116, 0.01185, 0.01211, 0.01187, 0.01116, 0.01014, + 0.00888, 0.00767, 0.00659, 0.00590, 0.00565, 0.00588, 0.00659, 0.00761, 0.00876, 0.01032, 0.01173, 0.01285, 0.01356, 0.01381, 0.01356, 0.01285, 0.01173, 0.01032, 0.00876, 0.00719, 0.00578, 0.00467, 0.00395, 0.00370, 0.00395, 0.00467, 0.00578, 0.00719, 0.00852, 0.01038, 0.01210, 0.01358, 0.01472, 0.01543, 0.01568, 0.01543, 0.01472, 0.01358, 0.01210, 0.01038, 5.62245, + 0.00667, 0.00495, 0.00347, 0.00233, 0.00162, 0.00137, 0.00162, 0.00233, 0.00347, 0.00495, 0.00667, 0.00807, 0.01056, 0.01288, 0.01487, 0.01640, 0.01736, 0.01769, 0.01736, 0.01640, 0.01487, 0.01288, 0.01056, 0.00807, 0.00558, 0.00326, 0.00127, 0.00002, 0.00008, 0.00011, 0.00008, 0.00002, 0.00127, 0.00326, 0.00558, 0.00716, 0.01037, 0.01336, 0.01569, 0.01569, 0.01569, + 0.01569, 0.01569, 0.01569, 0.01569, 0.01336, 0.01037, 0.00716, 0.00395, 0.00096, 0.00011, 0.00024, 0.00033, 0.00036, 0.00033, 0.00024, 0.00011, 0.00096, 0.00395, 0.00538, 0.01092, 0.01179, 0.01179, 0.01179, 0.01179, 0.01179, 0.01116, 0.00538, 0.00001, 0.00035, 0.00056, 0.00064, 0.00057, 0.00035, 0.00003, 0.00169, 0.00370, 0.00370, 0.00370, 0.00370, 0.00370, 0.00169, + 0.00029, 0.00036, 0.00037, 0.00036, 0.00029, 0.01090, 0.01088, 0.01223, 0.01280, 0.01223, 0.01088, 0.00952, 0.00896, 0.00952, 0.01080, 0.01228, 0.01359, 0.01442, 0.01474, 0.01445, 0.01359, 0.01234, 0.01080, 0.00933, 0.00802, 0.00718, 0.00687, 0.00716, 0.00802, 0.00927, 0.01066, 0.01256, 0.01427, 0.01564, 0.01651, 0.01681, 0.01651, 0.01564, 0.01427, 0.01256, 0.01066, + 0.00876, 0.00704, 0.00568, 0.00481, 0.00450, 0.00481, 0.00568, 0.00704, 0.00876, 0.01038, 0.01263, 0.01473, 0.01653, 0.01792, 0.01879, 0.01908, 0.01879, 0.01792, 0.01653, 0.01473, 0.01263, 0.01038, 5.62204, 0.00602, 0.00422, 0.00284, 0.00197, 0.00167, 0.00197, 0.00284, 0.00422, 0.00602, 0.00812, 0.00982, 0.01286, 0.01568, 0.01810, 0.01996, 0.02113, 0.02153, 0.02113, + 0.01996, 0.01810, 0.01568, 0.01286, 0.00982, 0.00679, 0.00397, 0.00155, 0.00002, 0.00010, 0.00013, 0.00010, 0.00002, 0.00155, 0.00397, 0.00679, 0.00872, 0.01262, 0.01626, 0.01910, 0.01910, 0.01910, 0.01910, 0.01910, 0.01910, 0.01910, 0.01626, 0.01262, 0.00872, 0.00481, 0.00117, 0.00013, 0.00030, 0.00040, 0.00043, 0.00040, 0.00030, 0.00013, 0.00117, 0.00481, 0.00655, + 0.01329, 0.01435, 0.01435, 0.01435, 0.01435, 0.01435, 0.01358, 0.00655, 0.00001, 0.00042, 0.00068, 0.00078, 0.00069, 0.00042, 0.00003, 0.00206, 0.00451, 0.00451, 0.00451, 0.00451, 0.00451, 0.00206, 0.00035, 0.00044, 0.00045, 0.00044, 0.00035, 0.01271, 0.01269, 0.01427, 0.01492, 0.01427, 0.01269, 0.01110, 0.01045, 0.01110, 0.01260, 0.01432, 0.01584, 0.01682, 0.01719, + 0.01685, 0.01584, 0.01439, 0.01260, 0.01088, 0.00936, 0.00838, 0.00801, 0.00835, 0.00936, 0.01081, 0.01243, 0.01465, 0.01665, 0.01824, 0.01925, 0.01961, 0.01925, 0.01824, 0.01665, 0.01465, 0.01243, 0.01021, 0.00821, 0.00662, 0.00560, 0.00525, 0.00560, 0.00662, 0.00821, 0.01021, 0.01210, 0.01473, 0.01718, 0.01928, 0.02089, 0.02191, 0.02226, 0.02191, 0.02089, 0.01928, + 0.01718, 0.01473, 0.01210, 0.00947, 5.62094, 0.00492, 0.00331, 0.00229, 0.00195, 0.00229, 0.00331, 0.00492, 0.00702, 0.00947, 0.01146, 0.01499, 0.01829, 0.02111, 0.02328, 0.02465, 0.02511, 0.02465, 0.02328, 0.02111, 0.01829, 0.01499, 0.01146, 0.00792, 0.00463, 0.00180, 0.00002, 0.00012, 0.00015, 0.00012, 0.00002, 0.00180, 0.00463, 0.00792, 0.01016, 0.01472, 0.01897, + 0.02228, 0.02228, 0.02227, 0.02227, 0.02227, 0.02228, 0.02228, 0.01897, 0.01472, 0.01016, 0.00561, 0.00136, 0.00016, 0.00035, 0.00047, 0.00051, 0.00047, 0.00035, 0.00016, 0.00136, 0.00561, 0.00764, 0.01550, 0.01674, 0.01673, 0.01673, 0.01673, 0.01674, 0.01584, 0.00764, 0.00002, 0.00049, 0.00079, 0.00091, 0.00080, 0.00049, 0.00004, 0.00240, 0.00526, 0.00526, 0.00526, + 0.00526, 0.00526, 0.00240, 0.00041, 0.00052, 0.00053, 0.00052, 0.00041, 0.01427, 0.01424, 0.01601, 0.01675, 0.01601, 0.01424, 0.01246, 0.01173, 0.01246, 0.01414, 0.01607, 0.01778, 0.01888, 0.01929, 0.01892, 0.01778, 0.01616, 0.01414, 0.01222, 0.01050, 0.00941, 0.00900, 0.00937, 0.01050, 0.01213, 0.01395, 0.01644, 0.01869, 0.02047, 0.02161, 0.02201, 0.02161, 0.02047, + 0.01869, 0.01644, 0.01395, 0.01146, 0.00922, 0.00743, 0.00629, 0.00590, 0.00629, 0.00743, 0.00922, 0.01146, 0.01358, 0.01653, 0.01928, 0.02164, 0.02345, 0.02459, 0.02498, 0.02459, 0.02345, 0.02164, 0.01928, 0.01653, 0.01358, 0.01063, 0.00788, 5.61944, 0.00371, 0.00257, 0.00219, 0.00257, 0.00371, 0.00552, 0.00788, 0.01063, 0.01286, 0.01683, 0.02052, 0.02370, 0.02613, + 0.02767, 0.02819, 0.02767, 0.02613, 0.02370, 0.02052, 0.01683, 0.01286, 0.00889, 0.00520, 0.00202, 0.00003, 0.00013, 0.00017, 0.00013, 0.00003, 0.00202, 0.00520, 0.00889, 0.01141, 0.01652, 0.02129, 0.02501, 0.02500, 0.02500, 0.02500, 0.02500, 0.02500, 0.02501, 0.02129, 0.01652, 0.01141, 0.00629, 0.00153, 0.00017, 0.00039, 0.00052, 0.00057, 0.00052, 0.00039, 0.00017, + 0.00153, 0.00629, 0.00857, 0.01739, 0.01878, 0.01878, 0.01878, 0.01878, 0.01878, 0.01777, 0.00857, 0.00002, 0.00055, 0.00089, 0.00102, 0.00090, 0.00055, 0.00004, 0.00269, 0.00590, 0.00590, 0.00590, 0.00590, 0.00590, 0.00269, 0.00045, 0.00058, 0.00059, 0.00058, 0.00045, 0.01546, 0.01543, 0.01735, 0.01815, 0.01735, 0.01543, 0.01351, 0.01271, 0.01351, 0.01533, 0.01742, + 0.01927, 0.02046, 0.02091, 0.02050, 0.01927, 0.01751, 0.01533, 0.01324, 0.01138, 0.01019, 0.00975, 0.01016, 0.01138, 0.01315, 0.01512, 0.01782, 0.02025, 0.02218, 0.02342, 0.02385, 0.02342, 0.02218, 0.02025, 0.01782, 0.01512, 0.01242, 0.00999, 0.00806, 0.00682, 0.00639, 0.00682, 0.00806, 0.00999, 0.01242, 0.01472, 0.01792, 0.02089, 0.02345, 0.02542, 0.02665, 0.02707, + 0.02665, 0.02542, 0.02345, 0.02089, 0.01792, 0.01472, 0.01152, 0.00854, 0.00599, 5.61794, 0.00279, 0.00237, 0.00279, 0.00402, 0.00599, 0.00854, 0.01152, 0.01394, 0.01824, 0.02224, 0.02568, 0.02832, 0.02998, 0.03055, 0.02998, 0.02832, 0.02568, 0.02224, 0.01824, 0.01394, 0.00964, 0.00563, 0.00219, 0.00003, 0.00014, 0.00018, 0.00014, 0.00003, 0.00219, 0.00563, 0.00964, + 0.01236, 0.01791, 0.02307, 0.02710, 0.02710, 0.02709, 0.02709, 0.02709, 0.02710, 0.02710, 0.02307, 0.01791, 0.01236, 0.00682, 0.00166, 0.00019, 0.00042, 0.00057, 0.00062, 0.00057, 0.00042, 0.00019, 0.00166, 0.00682, 0.00929, 0.01885, 0.02036, 0.02035, 0.02035, 0.02035, 0.02036, 0.01926, 0.00929, 0.00002, 0.00060, 0.00097, 0.00110, 0.00098, 0.00060, 0.00005, 0.00292, + 0.00639, 0.00639, 0.00639, 0.00639, 0.00639, 0.00292, 0.00049, 0.00063, 0.00064, 0.00063, 0.00049, 0.01621, 0.01618, 0.01820, 0.01903, 0.01820, 0.01618, 0.01416, 0.01333, 0.01416, 0.01607, 0.01826, 0.02021, 0.02146, 0.02192, 0.02150, 0.02021, 0.01836, 0.01607, 0.01388, 0.01194, 0.01069, 0.01022, 0.01065, 0.01194, 0.01379, 0.01585, 0.01868, 0.02123, 0.02326, 0.02456, + 0.02501, 0.02456, 0.02326, 0.02123, 0.01868, 0.01585, 0.01302, 0.01047, 0.00845, 0.00715, 0.00670, 0.00715, 0.00845, 0.01047, 0.01302, 0.01543, 0.01879, 0.02191, 0.02459, 0.02665, 0.02794, 0.02838, 0.02794, 0.02665, 0.02459, 0.02191, 0.01879, 0.01543, 0.01208, 0.00896, 0.00628, 0.00422, 5.61685, 0.00248, 0.00292, 0.00422, 0.00628, 0.00896, 0.01208, 0.01461, 0.01912, + 0.02332, 0.02693, 0.02970, 0.03144, 0.03203, 0.03144, 0.02970, 0.02693, 0.02332, 0.01912, 0.01461, 0.01011, 0.00591, 0.00230, 0.00003, 0.00015, 0.00019, 0.00015, 0.00003, 0.00230, 0.00591, 0.01011, 0.01296, 0.01877, 0.02419, 0.02842, 0.02841, 0.02841, 0.02841, 0.02841, 0.02841, 0.02842, 0.02419, 0.01877, 0.01296, 0.00715, 0.00174, 0.00020, 0.00044, 0.00059, 0.00065, + 0.00059, 0.00044, 0.00020, 0.00174, 0.00715, 0.00974, 0.01977, 0.02134, 0.02134, 0.02134, 0.02134, 0.02134, 0.02020, 0.00974, 0.00002, 0.00062, 0.00101, 0.00116, 0.00103, 0.00062, 0.00005, 0.00306, 0.00670, 0.00671, 0.00671, 0.00671, 0.00670, 0.00306, 0.00052, 0.00066, 0.00067, 0.00066, 0.00052, 0.01647, 0.01643, 0.01848, 0.01933, 0.01848, 0.01643, 0.01439, 0.01354, + 0.01439, 0.01633, 0.01855, 0.02053, 0.02180, 0.02227, 0.02184, 0.02053, 0.01865, 0.01633, 0.01410, 0.01212, 0.01086, 0.01038, 0.01082, 0.01212, 0.01400, 0.01610, 0.01898, 0.02157, 0.02363, 0.02495, 0.02540, 0.02495, 0.02363, 0.02157, 0.01898, 0.01610, 0.01323, 0.01064, 0.00858, 0.00726, 0.00681, 0.00726, 0.00858, 0.01064, 0.01323, 0.01568, 0.01908, 0.02226, 0.02498, + 0.02707, 0.02838, 0.02883, 0.02838, 0.02707, 0.02498, 0.02226, 0.01908, 0.01568, 0.01227, 0.00910, 0.00638, 0.00429, 0.00297, 5.61644, 0.00297, 0.00429, 0.00638, 0.00910, 0.01227, 0.01484, 0.01942, 0.02369, 0.02735, 0.03017, 0.03193, 0.03254, 0.03193, 0.03017, 0.02735, 0.02369, 0.01942, 0.01484, 0.01027, 0.00600, 0.00234, 0.00003, 0.00015, 0.00019, 0.00015, 0.00003, + 0.00234, 0.00600, 0.01027, 0.01317, 0.01907, 0.02457, 0.02886, 0.02886, 0.02886, 0.02886, 0.02886, 0.02886, 0.02886, 0.02457, 0.01907, 0.01317, 0.00727, 0.00176, 0.00020, 0.00045, 0.00060, 0.00066, 0.00060, 0.00045, 0.00020, 0.00176, 0.00727, 0.00989, 0.02008, 0.02168, 0.02168, 0.02168, 0.02168, 0.02168, 0.02052, 0.00989, 0.00002, 0.00063, 0.00103, 0.00118, 0.00104, + 0.00063, 0.00005, 0.00311, 0.00681, 0.00681, 0.00681, 0.00681, 0.00681, 0.00311, 0.00053, 0.00067, 0.00068, 0.00067, 0.00053, 0.01621, 0.01618, 0.01820, 0.01903, 0.01820, 0.01618, 0.01416, 0.01333, 0.01416, 0.01607, 0.01826, 0.02021, 0.02146, 0.02192, 0.02150, 0.02021, 0.01836, 0.01607, 0.01388, 0.01194, 0.01069, 0.01022, 0.01065, 0.01194, 0.01379, 0.01585, 0.01868, + 0.02123, 0.02326, 0.02456, 0.02501, 0.02456, 0.02326, 0.02123, 0.01868, 0.01585, 0.01302, 0.01047, 0.00845, 0.00715, 0.00670, 0.00715, 0.00845, 0.01047, 0.01302, 0.01543, 0.01879, 0.02191, 0.02459, 0.02665, 0.02794, 0.02838, 0.02794, 0.02665, 0.02459, 0.02191, 0.01879, 0.01543, 0.01208, 0.00896, 0.00628, 0.00422, 0.00292, 0.00248, 5.61685, 0.00422, 0.00628, 0.00896, + 0.01208, 0.01461, 0.01912, 0.02332, 0.02693, 0.02970, 0.03144, 0.03203, 0.03144, 0.02970, 0.02693, 0.02332, 0.01912, 0.01461, 0.01011, 0.00591, 0.00230, 0.00003, 0.00015, 0.00019, 0.00015, 0.00003, 0.00230, 0.00591, 0.01011, 0.01296, 0.01877, 0.02419, 0.02842, 0.02841, 0.02841, 0.02841, 0.02841, 0.02841, 0.02842, 0.02419, 0.01877, 0.01296, 0.00715, 0.00174, 0.00020, + 0.00044, 0.00059, 0.00065, 0.00059, 0.00044, 0.00020, 0.00174, 0.00715, 0.00974, 0.01977, 0.02134, 0.02134, 0.02134, 0.02134, 0.02134, 0.02020, 0.00974, 0.00002, 0.00062, 0.00101, 0.00116, 0.00103, 0.00062, 0.00005, 0.00306, 0.00670, 0.00671, 0.00671, 0.00671, 0.00670, 0.00306, 0.00052, 0.00066, 0.00067, 0.00066, 0.00052, 0.01546, 0.01543, 0.01735, 0.01815, 0.01735, + 0.01543, 0.01351, 0.01271, 0.01351, 0.01533, 0.01742, 0.01927, 0.02046, 0.02091, 0.02050, 0.01927, 0.01751, 0.01533, 0.01324, 0.01138, 0.01019, 0.00975, 0.01016, 0.01138, 0.01315, 0.01512, 0.01782, 0.02025, 0.02218, 0.02342, 0.02385, 0.02342, 0.02218, 0.02025, 0.01782, 0.01512, 0.01242, 0.00999, 0.00806, 0.00682, 0.00639, 0.00682, 0.00806, 0.00999, 0.01242, 0.01472, + 0.01792, 0.02089, 0.02345, 0.02542, 0.02665, 0.02707, 0.02665, 0.02542, 0.02345, 0.02089, 0.01792, 0.01472, 0.01152, 0.00854, 0.00599, 0.00402, 0.00279, 0.00237, 0.00279, 5.61794, 0.00599, 0.00854, 0.01152, 0.01394, 0.01824, 0.02224, 0.02568, 0.02832, 0.02998, 0.03055, 0.02998, 0.02832, 0.02568, 0.02224, 0.01824, 0.01394, 0.00964, 0.00563, 0.00219, 0.00003, 0.00014, + 0.00018, 0.00014, 0.00003, 0.00219, 0.00563, 0.00964, 0.01236, 0.01791, 0.02307, 0.02710, 0.02710, 0.02709, 0.02709, 0.02709, 0.02710, 0.02710, 0.02307, 0.01791, 0.01236, 0.00682, 0.00166, 0.00019, 0.00042, 0.00057, 0.00062, 0.00057, 0.00042, 0.00019, 0.00166, 0.00682, 0.00929, 0.01885, 0.02036, 0.02035, 0.02035, 0.02035, 0.02036, 0.01926, 0.00929, 0.00002, 0.00060, + 0.00097, 0.00110, 0.00098, 0.00060, 0.00005, 0.00292, 0.00639, 0.00639, 0.00639, 0.00639, 0.00639, 0.00292, 0.00049, 0.00063, 0.00064, 0.00063, 0.00049, 0.01427, 0.01424, 0.01601, 0.01675, 0.01601, 0.01424, 0.01246, 0.01173, 0.01246, 0.01414, 0.01607, 0.01778, 0.01888, 0.01929, 0.01892, 0.01778, 0.01616, 0.01414, 0.01222, 0.01050, 0.00941, 0.00900, 0.00937, 0.01050, + 0.01213, 0.01395, 0.01644, 0.01869, 0.02047, 0.02161, 0.02201, 0.02161, 0.02047, 0.01869, 0.01644, 0.01395, 0.01146, 0.00922, 0.00743, 0.00629, 0.00590, 0.00629, 0.00743, 0.00922, 0.01146, 0.01358, 0.01653, 0.01928, 0.02164, 0.02345, 0.02459, 0.02498, 0.02459, 0.02345, 0.02164, 0.01928, 0.01653, 0.01358, 0.01063, 0.00788, 0.00552, 0.00371, 0.00257, 0.00219, 0.00257, + 0.00371, 5.61944, 0.00788, 0.01063, 0.01286, 0.01683, 0.02052, 0.02370, 0.02613, 0.02767, 0.02819, 0.02767, 0.02613, 0.02370, 0.02052, 0.01683, 0.01286, 0.00889, 0.00520, 0.00202, 0.00003, 0.00013, 0.00017, 0.00013, 0.00003, 0.00202, 0.00520, 0.00889, 0.01141, 0.01652, 0.02129, 0.02501, 0.02500, 0.02500, 0.02500, 0.02500, 0.02500, 0.02501, 0.02129, 0.01652, 0.01141, + 0.00629, 0.00153, 0.00017, 0.00039, 0.00052, 0.00057, 0.00052, 0.00039, 0.00017, 0.00153, 0.00629, 0.00857, 0.01739, 0.01878, 0.01878, 0.01878, 0.01878, 0.01878, 0.01777, 0.00857, 0.00002, 0.00055, 0.00089, 0.00102, 0.00090, 0.00055, 0.00004, 0.00269, 0.00590, 0.00590, 0.00590, 0.00590, 0.00590, 0.00269, 0.00045, 0.00058, 0.00059, 0.00058, 0.00045, 0.01271, 0.01269, + 0.01427, 0.01492, 0.01427, 0.01269, 0.01110, 0.01045, 0.01110, 0.01260, 0.01432, 0.01584, 0.01682, 0.01719, 0.01685, 0.01584, 0.01439, 0.01260, 0.01088, 0.00936, 0.00838, 0.00801, 0.00835, 0.00936, 0.01081, 0.01243, 0.01465, 0.01665, 0.01824, 0.01925, 0.01961, 0.01925, 0.01824, 0.01665, 0.01465, 0.01243, 0.01021, 0.00821, 0.00662, 0.00560, 0.00525, 0.00560, 0.00662, + 0.00821, 0.01021, 0.01210, 0.01473, 0.01718, 0.01928, 0.02089, 0.02191, 0.02226, 0.02191, 0.02089, 0.01928, 0.01718, 0.01473, 0.01210, 0.00947, 0.00702, 0.00492, 0.00331, 0.00229, 0.00195, 0.00229, 0.00331, 0.00492, 5.62094, 0.00947, 0.01146, 0.01499, 0.01829, 0.02111, 0.02328, 0.02465, 0.02511, 0.02465, 0.02328, 0.02111, 0.01829, 0.01499, 0.01146, 0.00792, 0.00463, + 0.00180, 0.00002, 0.00012, 0.00015, 0.00012, 0.00002, 0.00180, 0.00463, 0.00792, 0.01016, 0.01472, 0.01897, 0.02228, 0.02228, 0.02227, 0.02227, 0.02227, 0.02228, 0.02228, 0.01897, 0.01472, 0.01016, 0.00561, 0.00136, 0.00016, 0.00035, 0.00047, 0.00051, 0.00047, 0.00035, 0.00016, 0.00136, 0.00561, 0.00764, 0.01550, 0.01674, 0.01673, 0.01673, 0.01673, 0.01674, 0.01584, + 0.00764, 0.00002, 0.00049, 0.00079, 0.00091, 0.00080, 0.00049, 0.00004, 0.00240, 0.00526, 0.00526, 0.00526, 0.00526, 0.00526, 0.00240, 0.00041, 0.00052, 0.00053, 0.00052, 0.00041, 0.01090, 0.01088, 0.01223, 0.01280, 0.01223, 0.01088, 0.00952, 0.00896, 0.00952, 0.01080, 0.01228, 0.01359, 0.01442, 0.01474, 0.01445, 0.01359, 0.01234, 0.01080, 0.00933, 0.00802, 0.00718, + 0.00687, 0.00716, 0.00802, 0.00927, 0.01066, 0.01256, 0.01427, 0.01564, 0.01651, 0.01681, 0.01651, 0.01564, 0.01427, 0.01256, 0.01066, 0.00876, 0.00704, 0.00568, 0.00481, 0.00450, 0.00481, 0.00568, 0.00704, 0.00876, 0.01038, 0.01263, 0.01473, 0.01653, 0.01792, 0.01879, 0.01908, 0.01879, 0.01792, 0.01653, 0.01473, 0.01263, 0.01038, 0.00812, 0.00602, 0.00422, 0.00284, + 0.00197, 0.00167, 0.00197, 0.00284, 0.00422, 0.00602, 5.62204, 0.00982, 0.01286, 0.01568, 0.01810, 0.01996, 0.02113, 0.02153, 0.02113, 0.01996, 0.01810, 0.01568, 0.01286, 0.00982, 0.00679, 0.00397, 0.00155, 0.00002, 0.00010, 0.00013, 0.00010, 0.00002, 0.00155, 0.00397, 0.00679, 0.00872, 0.01262, 0.01626, 0.01910, 0.01910, 0.01910, 0.01910, 0.01910, 0.01910, 0.01910, + 0.01626, 0.01262, 0.00872, 0.00481, 0.00117, 0.00013, 0.00030, 0.00040, 0.00043, 0.00040, 0.00030, 0.00013, 0.00117, 0.00481, 0.00655, 0.01329, 0.01435, 0.01435, 0.01435, 0.01435, 0.01435, 0.01358, 0.00655, 0.00001, 0.00042, 0.00068, 0.00078, 0.00069, 0.00042, 0.00003, 0.00206, 0.00451, 0.00451, 0.00451, 0.00451, 0.00451, 0.00206, 0.00035, 0.00044, 0.00045, 0.00044, + 0.00035, 0.00847, 0.00846, 0.00951, 0.00995, 0.00951, 0.00846, 0.00740, 0.00697, 0.00740, 0.00840, 0.00955, 0.01056, 0.01122, 0.01146, 0.01124, 0.01056, 0.00960, 0.00840, 0.00726, 0.00624, 0.00559, 0.00534, 0.00557, 0.00624, 0.00721, 0.00829, 0.00977, 0.01110, 0.01216, 0.01284, 0.01307, 0.01284, 0.01216, 0.01110, 0.00977, 0.00829, 0.00681, 0.00548, 0.00442, 0.00374, + 0.00350, 0.00374, 0.00442, 0.00548, 0.00681, 0.00807, 0.00982, 0.01146, 0.01286, 0.01394, 0.01461, 0.01484, 0.01461, 0.01394, 0.01286, 0.01146, 0.00982, 0.00807, 0.00632, 0.00469, 0.00328, 0.00221, 0.00153, 0.00130, 0.00153, 0.00221, 0.00328, 0.00469, 0.00632, 6.60445, 0.01000, 0.01220, 0.01409, 0.01554, 0.01645, 0.01676, 0.01645, 0.01554, 0.01409, 0.01220, 0.01000, + 0.00764, 0.00529, 0.00309, 0.00120, 0.00002, 0.00008, 0.00010, 0.00008, 0.00002, 0.00120, 0.00309, 0.00529, 0.00678, 0.00982, 0.01266, 0.01487, 0.01487, 0.01487, 0.01487, 0.01487, 0.01487, 0.01487, 0.01266, 0.00982, 0.00678, 0.00374, 0.00091, 0.00010, 0.00023, 0.00031, 0.00034, 0.00031, 0.00023, 0.00010, 0.00091, 0.00374, 0.00510, 0.01035, 0.01117, 0.01117, 0.01117, + 0.01117, 0.01117, 0.01057, 0.00510, 0.00001, 0.00033, 0.00053, 0.00061, 0.00054, 0.00033, 0.00003, 0.00160, 0.00352, 0.00352, 0.00352, 0.00352, 0.00352, 0.00160, 0.00027, 0.00035, 0.00035, 0.00035, 0.00027, 0.00586, 0.00585, 0.00658, 0.00688, 0.00658, 0.00585, 0.00512, 0.00482, 0.00512, 0.00581, 0.00660, 0.00731, 0.00776, 0.00793, 0.00777, 0.00731, 0.00664, 0.00581, + 0.00502, 0.00432, 0.00386, 0.00370, 0.00385, 0.00432, 0.00498, 0.00573, 0.00676, 0.00768, 0.00841, 0.00888, 0.00904, 0.00888, 0.00841, 0.00768, 0.00676, 0.00573, 0.00471, 0.00379, 0.00305, 0.00258, 0.00242, 0.00258, 0.00305, 0.00379, 0.00471, 0.00558, 0.00679, 0.00792, 0.00889, 0.00964, 0.01011, 0.01027, 0.01011, 0.00964, 0.00889, 0.00792, 0.00679, 0.00558, 0.00437, + 0.00324, 0.00227, 0.00153, 0.00106, 0.00090, 0.00106, 0.00153, 0.00227, 0.00324, 0.00437, 0.00529, 6.60372, 0.00844, 0.00974, 0.01074, 0.01137, 0.01159, 0.01137, 0.01074, 0.00974, 0.00844, 0.00692, 0.00529, 0.00366, 0.00214, 0.00083, 0.00001, 0.00005, 0.00007, 0.00005, 0.00001, 0.00083, 0.00214, 0.00366, 0.00469, 0.00679, 0.00875, 0.01028, 0.01028, 0.01028, 0.01028, + 0.01028, 0.01028, 0.01028, 0.00875, 0.00679, 0.00469, 0.00259, 0.00063, 0.00007, 0.00016, 0.00021, 0.00023, 0.00021, 0.00016, 0.00007, 0.00063, 0.00259, 0.00353, 0.00716, 0.00773, 0.00773, 0.00773, 0.00773, 0.00773, 0.00731, 0.00353, 0.00001, 0.00023, 0.00037, 0.00042, 0.00037, 0.00023, 0.00002, 0.00111, 0.00243, 0.00243, 0.00243, 0.00243, 0.00243, 0.00111, 0.00019, + 0.00024, 0.00024, 0.00024, 0.00019, 0.00342, 0.00342, 0.00384, 0.00402, 0.00384, 0.00342, 0.00299, 0.00282, 0.00299, 0.00340, 0.00386, 0.00427, 0.00453, 0.00463, 0.00454, 0.00427, 0.00388, 0.00340, 0.00293, 0.00252, 0.00226, 0.00216, 0.00225, 0.00252, 0.00291, 0.00335, 0.00395, 0.00449, 0.00491, 0.00519, 0.00528, 0.00519, 0.00491, 0.00449, 0.00395, 0.00335, 0.00275, + 0.00221, 0.00179, 0.00151, 0.00142, 0.00151, 0.00179, 0.00221, 0.00275, 0.00326, 0.00397, 0.00463, 0.00520, 0.00563, 0.00591, 0.00600, 0.00591, 0.00563, 0.00520, 0.00463, 0.00397, 0.00326, 0.00255, 0.00189, 0.00133, 0.00089, 0.00062, 0.00052, 0.00062, 0.00089, 0.00133, 0.00189, 0.00255, 0.00309, 0.00404, 6.60174, 0.00569, 0.00628, 0.00665, 0.00677, 0.00665, 0.00628, + 0.00569, 0.00493, 0.00404, 0.00309, 0.00214, 0.00125, 0.00049, 0.00001, 0.00003, 0.00004, 0.00003, 0.00001, 0.00049, 0.00125, 0.00214, 0.00274, 0.00397, 0.00512, 0.00601, 0.00601, 0.00601, 0.00601, 0.00601, 0.00601, 0.00601, 0.00512, 0.00397, 0.00274, 0.00151, 0.00037, 0.00004, 0.00009, 0.00013, 0.00014, 0.00013, 0.00009, 0.00004, 0.00037, 0.00151, 0.00206, 0.00418, + 0.00452, 0.00452, 0.00452, 0.00452, 0.00452, 0.00427, 0.00206, 0.00000, 0.00013, 0.00021, 0.00025, 0.00022, 0.00013, 0.00001, 0.00065, 0.00142, 0.00142, 0.00142, 0.00142, 0.00142, 0.00065, 0.00011, 0.00014, 0.00014, 0.00014, 0.00011, 0.00133, 0.00133, 0.00150, 0.00157, 0.00150, 0.00133, 0.00116, 0.00110, 0.00116, 0.00132, 0.00150, 0.00166, 0.00176, 0.00180, 0.00177, + 0.00166, 0.00151, 0.00132, 0.00114, 0.00098, 0.00088, 0.00084, 0.00088, 0.00098, 0.00113, 0.00130, 0.00154, 0.00175, 0.00191, 0.00202, 0.00206, 0.00202, 0.00191, 0.00175, 0.00154, 0.00130, 0.00107, 0.00086, 0.00069, 0.00059, 0.00055, 0.00059, 0.00069, 0.00086, 0.00107, 0.00127, 0.00155, 0.00180, 0.00202, 0.00219, 0.00230, 0.00234, 0.00230, 0.00219, 0.00202, 0.00180, + 0.00155, 0.00127, 0.00099, 0.00074, 0.00052, 0.00035, 0.00024, 0.00020, 0.00024, 0.00035, 0.00052, 0.00074, 0.00099, 0.00120, 0.00157, 0.00192, 6.59902, 0.00244, 0.00259, 0.00264, 0.00259, 0.00244, 0.00222, 0.00192, 0.00157, 0.00120, 0.00083, 0.00049, 0.00019, 0.00000, 0.00001, 0.00002, 0.00001, 0.00000, 0.00019, 0.00049, 0.00083, 0.00107, 0.00155, 0.00199, 0.00234, + 0.00234, 0.00234, 0.00234, 0.00234, 0.00234, 0.00234, 0.00199, 0.00155, 0.00107, 0.00059, 0.00014, 0.00002, 0.00004, 0.00005, 0.00005, 0.00005, 0.00004, 0.00002, 0.00014, 0.00059, 0.00080, 0.00163, 0.00176, 0.00176, 0.00176, 0.00176, 0.00176, 0.00166, 0.00080, 0.00000, 0.00005, 0.00008, 0.00010, 0.00008, 0.00005, 0.00000, 0.00025, 0.00055, 0.00055, 0.00055, 0.00055, + 0.00055, 0.00025, 0.00004, 0.00005, 0.00006, 0.00005, 0.00004, 0.00002, 0.00002, 0.00002, 0.00002, 0.00002, 0.00002, 0.00002, 0.00002, 0.00002, 0.00002, 0.00002, 0.00002, 0.00002, 0.00002, 0.00002, 0.00002, 0.00002, 0.00002, 0.00002, 0.00001, 0.00001, 0.00001, 0.00001, 0.00001, 0.00002, 0.00002, 0.00002, 0.00002, 0.00003, 0.00003, 0.00003, 0.00003, 0.00003, 0.00002, + 0.00002, 0.00002, 0.00001, 0.00001, 0.00001, 0.00001, 0.00001, 0.00001, 0.00001, 0.00001, 0.00001, 0.00002, 0.00002, 0.00002, 0.00003, 0.00003, 0.00003, 0.00003, 0.00003, 0.00003, 0.00003, 0.00002, 0.00002, 0.00002, 0.00001, 0.00001, 0.00001, 0.00000, 0.00000, 0.00000, 0.00000, 0.00000, 0.00001, 0.00001, 0.00001, 0.00002, 0.00002, 0.00003, 0.00003, 6.59684, 0.00004, + 0.00004, 0.00004, 0.00003, 0.00003, 0.00003, 0.00002, 0.00002, 0.00001, 0.00001, 0.00000, 0.00001, 0.00004, 0.00005, 0.00004, 0.00001, 0.00000, 0.00001, 0.00001, 0.00001, 0.00002, 0.00003, 0.00003, 0.00003, 0.00003, 0.00003, 0.00003, 0.00003, 0.00003, 0.00003, 0.00002, 0.00001, 0.00001, 0.00000, 0.00005, 0.00011, 0.00015, 0.00016, 0.00015, 0.00011, 0.00005, 0.00000, + 0.00001, 0.00001, 0.00002, 0.00002, 0.00002, 0.00002, 0.00002, 0.00002, 0.00002, 0.00001, 0.00000, 0.00015, 0.00025, 0.00028, 0.00025, 0.00015, 0.00001, 0.00000, 0.00001, 0.00001, 0.00001, 0.00001, 0.00001, 0.00000, 0.00011, 0.00011, 0.00011, 0.00011, 0.00011, 0.00009, 0.00009, 0.00010, 0.00010, 0.00010, 0.00009, 0.00008, 0.00007, 0.00008, 0.00009, 0.00010, 0.00011, + 0.00012, 0.00012, 0.00012, 0.00011, 0.00010, 0.00009, 0.00007, 0.00006, 0.00006, 0.00005, 0.00006, 0.00006, 0.00007, 0.00009, 0.00010, 0.00011, 0.00012, 0.00013, 0.00013, 0.00013, 0.00012, 0.00011, 0.00010, 0.00009, 0.00007, 0.00006, 0.00005, 0.00004, 0.00004, 0.00004, 0.00005, 0.00006, 0.00007, 0.00008, 0.00010, 0.00012, 0.00013, 0.00014, 0.00015, 0.00015, 0.00015, + 0.00014, 0.00013, 0.00012, 0.00010, 0.00008, 0.00006, 0.00005, 0.00003, 0.00002, 0.00002, 0.00001, 0.00002, 0.00002, 0.00003, 0.00005, 0.00006, 0.00008, 0.00010, 0.00013, 0.00014, 0.00016, 6.59698, 0.00017, 0.00017, 0.00016, 0.00014, 0.00013, 0.00010, 0.00008, 0.00005, 0.00003, 0.00001, 0.00004, 0.00017, 0.00022, 0.00017, 0.00004, 0.00001, 0.00003, 0.00005, 0.00007, + 0.00010, 0.00013, 0.00015, 0.00015, 0.00014, 0.00014, 0.00014, 0.00015, 0.00015, 0.00013, 0.00010, 0.00007, 0.00004, 0.00001, 0.00023, 0.00051, 0.00068, 0.00074, 0.00068, 0.00051, 0.00023, 0.00001, 0.00004, 0.00005, 0.00011, 0.00011, 0.00011, 0.00010, 0.00011, 0.00011, 0.00011, 0.00005, 0.00002, 0.00072, 0.00117, 0.00134, 0.00118, 0.00072, 0.00006, 0.00002, 0.00003, + 0.00003, 0.00003, 0.00003, 0.00003, 0.00002, 0.00053, 0.00053, 0.00053, 0.00053, 0.00053, 0.00011, 0.00011, 0.00012, 0.00013, 0.00012, 0.00011, 0.00010, 0.00009, 0.00010, 0.00011, 0.00012, 0.00014, 0.00015, 0.00015, 0.00015, 0.00014, 0.00012, 0.00011, 0.00009, 0.00008, 0.00007, 0.00007, 0.00007, 0.00008, 0.00009, 0.00011, 0.00013, 0.00014, 0.00016, 0.00017, 0.00017, + 0.00017, 0.00016, 0.00014, 0.00013, 0.00011, 0.00009, 0.00007, 0.00006, 0.00005, 0.00005, 0.00005, 0.00006, 0.00007, 0.00009, 0.00011, 0.00013, 0.00015, 0.00017, 0.00018, 0.00019, 0.00019, 0.00019, 0.00018, 0.00017, 0.00015, 0.00013, 0.00011, 0.00008, 0.00006, 0.00004, 0.00003, 0.00002, 0.00002, 0.00002, 0.00003, 0.00004, 0.00006, 0.00008, 0.00010, 0.00013, 0.00016, + 0.00018, 0.00020, 0.00021, 6.59702, 0.00021, 0.00020, 0.00018, 0.00016, 0.00013, 0.00010, 0.00007, 0.00004, 0.00002, 0.00005, 0.00022, 0.00028, 0.00022, 0.00005, 0.00002, 0.00004, 0.00007, 0.00009, 0.00013, 0.00017, 0.00019, 0.00019, 0.00018, 0.00018, 0.00018, 0.00019, 0.00019, 0.00017, 0.00013, 0.00009, 0.00005, 0.00001, 0.00029, 0.00064, 0.00087, 0.00094, 0.00087, + 0.00064, 0.00029, 0.00001, 0.00005, 0.00007, 0.00014, 0.00014, 0.00013, 0.00013, 0.00013, 0.00014, 0.00014, 0.00007, 0.00003, 0.00091, 0.00148, 0.00169, 0.00150, 0.00091, 0.00007, 0.00002, 0.00004, 0.00004, 0.00004, 0.00004, 0.00004, 0.00002, 0.00067, 0.00067, 0.00067, 0.00067, 0.00067, 0.00009, 0.00009, 0.00010, 0.00010, 0.00010, 0.00009, 0.00008, 0.00007, 0.00008, + 0.00009, 0.00010, 0.00011, 0.00012, 0.00012, 0.00012, 0.00011, 0.00010, 0.00009, 0.00007, 0.00006, 0.00006, 0.00005, 0.00006, 0.00006, 0.00007, 0.00009, 0.00010, 0.00011, 0.00012, 0.00013, 0.00013, 0.00013, 0.00012, 0.00011, 0.00010, 0.00009, 0.00007, 0.00006, 0.00005, 0.00004, 0.00004, 0.00004, 0.00005, 0.00006, 0.00007, 0.00008, 0.00010, 0.00012, 0.00013, 0.00014, + 0.00015, 0.00015, 0.00015, 0.00014, 0.00013, 0.00012, 0.00010, 0.00008, 0.00006, 0.00005, 0.00003, 0.00002, 0.00002, 0.00001, 0.00002, 0.00002, 0.00003, 0.00005, 0.00006, 0.00008, 0.00010, 0.00013, 0.00014, 0.00016, 0.00017, 0.00017, 6.59698, 0.00016, 0.00014, 0.00013, 0.00010, 0.00008, 0.00005, 0.00003, 0.00001, 0.00004, 0.00017, 0.00022, 0.00017, 0.00004, 0.00001, + 0.00003, 0.00005, 0.00007, 0.00010, 0.00013, 0.00015, 0.00015, 0.00014, 0.00014, 0.00014, 0.00015, 0.00015, 0.00013, 0.00010, 0.00007, 0.00004, 0.00001, 0.00023, 0.00051, 0.00068, 0.00074, 0.00068, 0.00051, 0.00023, 0.00001, 0.00004, 0.00005, 0.00011, 0.00011, 0.00011, 0.00010, 0.00011, 0.00011, 0.00011, 0.00005, 0.00002, 0.00072, 0.00117, 0.00134, 0.00118, 0.00072, + 0.00006, 0.00002, 0.00003, 0.00003, 0.00003, 0.00003, 0.00003, 0.00002, 0.00053, 0.00053, 0.00053, 0.00053, 0.00053, 0.00002, 0.00002, 0.00002, 0.00002, 0.00002, 0.00002, 0.00002, 0.00002, 0.00002, 0.00002, 0.00002, 0.00002, 0.00002, 0.00002, 0.00002, 0.00002, 0.00002, 0.00002, 0.00002, 0.00001, 0.00001, 0.00001, 0.00001, 0.00001, 0.00002, 0.00002, 0.00002, 0.00002, + 0.00003, 0.00003, 0.00003, 0.00003, 0.00003, 0.00002, 0.00002, 0.00002, 0.00001, 0.00001, 0.00001, 0.00001, 0.00001, 0.00001, 0.00001, 0.00001, 0.00001, 0.00002, 0.00002, 0.00002, 0.00003, 0.00003, 0.00003, 0.00003, 0.00003, 0.00003, 0.00003, 0.00002, 0.00002, 0.00002, 0.00001, 0.00001, 0.00001, 0.00000, 0.00000, 0.00000, 0.00000, 0.00000, 0.00001, 0.00001, 0.00001, + 0.00002, 0.00002, 0.00003, 0.00003, 0.00003, 0.00004, 0.00004, 0.00004, 6.59684, 0.00003, 0.00003, 0.00002, 0.00002, 0.00001, 0.00001, 0.00000, 0.00001, 0.00004, 0.00005, 0.00004, 0.00001, 0.00000, 0.00001, 0.00001, 0.00001, 0.00002, 0.00003, 0.00003, 0.00003, 0.00003, 0.00003, 0.00003, 0.00003, 0.00003, 0.00003, 0.00002, 0.00001, 0.00001, 0.00000, 0.00005, 0.00011, + 0.00015, 0.00016, 0.00015, 0.00011, 0.00005, 0.00000, 0.00001, 0.00001, 0.00002, 0.00002, 0.00002, 0.00002, 0.00002, 0.00002, 0.00002, 0.00001, 0.00000, 0.00015, 0.00025, 0.00028, 0.00025, 0.00015, 0.00001, 0.00000, 0.00001, 0.00001, 0.00001, 0.00001, 0.00001, 0.00000, 0.00011, 0.00011, 0.00011, 0.00011, 0.00011, 0.00133, 0.00133, 0.00150, 0.00157, 0.00150, 0.00133, + 0.00116, 0.00110, 0.00116, 0.00132, 0.00150, 0.00166, 0.00176, 0.00180, 0.00177, 0.00166, 0.00151, 0.00132, 0.00114, 0.00098, 0.00088, 0.00084, 0.00088, 0.00098, 0.00113, 0.00130, 0.00154, 0.00175, 0.00191, 0.00202, 0.00206, 0.00202, 0.00191, 0.00175, 0.00154, 0.00130, 0.00107, 0.00086, 0.00069, 0.00059, 0.00055, 0.00059, 0.00069, 0.00086, 0.00107, 0.00127, 0.00155, + 0.00180, 0.00202, 0.00219, 0.00230, 0.00234, 0.00230, 0.00219, 0.00202, 0.00180, 0.00155, 0.00127, 0.00099, 0.00074, 0.00052, 0.00035, 0.00024, 0.00020, 0.00024, 0.00035, 0.00052, 0.00074, 0.00099, 0.00120, 0.00157, 0.00192, 0.00222, 0.00244, 0.00259, 0.00264, 0.00259, 0.00244, 6.59902, 0.00192, 0.00157, 0.00120, 0.00083, 0.00049, 0.00019, 0.00000, 0.00001, 0.00002, + 0.00001, 0.00000, 0.00019, 0.00049, 0.00083, 0.00107, 0.00155, 0.00199, 0.00234, 0.00234, 0.00234, 0.00234, 0.00234, 0.00234, 0.00234, 0.00199, 0.00155, 0.00107, 0.00059, 0.00014, 0.00002, 0.00004, 0.00005, 0.00005, 0.00005, 0.00004, 0.00002, 0.00014, 0.00059, 0.00080, 0.00163, 0.00176, 0.00176, 0.00176, 0.00176, 0.00176, 0.00166, 0.00080, 0.00000, 0.00005, 0.00008, + 0.00010, 0.00008, 0.00005, 0.00000, 0.00025, 0.00055, 0.00055, 0.00055, 0.00055, 0.00055, 0.00025, 0.00004, 0.00005, 0.00006, 0.00005, 0.00004, 0.00342, 0.00342, 0.00384, 0.00402, 0.00384, 0.00342, 0.00299, 0.00282, 0.00299, 0.00340, 0.00386, 0.00427, 0.00453, 0.00463, 0.00454, 0.00427, 0.00388, 0.00340, 0.00293, 0.00252, 0.00226, 0.00216, 0.00225, 0.00252, 0.00291, + 0.00335, 0.00395, 0.00449, 0.00491, 0.00519, 0.00528, 0.00519, 0.00491, 0.00449, 0.00395, 0.00335, 0.00275, 0.00221, 0.00179, 0.00151, 0.00142, 0.00151, 0.00179, 0.00221, 0.00275, 0.00326, 0.00397, 0.00463, 0.00520, 0.00563, 0.00591, 0.00600, 0.00591, 0.00563, 0.00520, 0.00463, 0.00397, 0.00326, 0.00255, 0.00189, 0.00133, 0.00089, 0.00062, 0.00052, 0.00062, 0.00089, + 0.00133, 0.00189, 0.00255, 0.00309, 0.00404, 0.00493, 0.00569, 0.00628, 0.00665, 0.00677, 0.00665, 0.00628, 0.00569, 6.60174, 0.00404, 0.00309, 0.00214, 0.00125, 0.00049, 0.00001, 0.00003, 0.00004, 0.00003, 0.00001, 0.00049, 0.00125, 0.00214, 0.00274, 0.00397, 0.00512, 0.00601, 0.00601, 0.00601, 0.00601, 0.00601, 0.00601, 0.00601, 0.00512, 0.00397, 0.00274, 0.00151, + 0.00037, 0.00004, 0.00009, 0.00013, 0.00014, 0.00013, 0.00009, 0.00004, 0.00037, 0.00151, 0.00206, 0.00418, 0.00452, 0.00452, 0.00452, 0.00452, 0.00452, 0.00427, 0.00206, 0.00000, 0.00013, 0.00021, 0.00025, 0.00022, 0.00013, 0.00001, 0.00065, 0.00142, 0.00142, 0.00142, 0.00142, 0.00142, 0.00065, 0.00011, 0.00014, 0.00014, 0.00014, 0.00011, 0.00586, 0.00585, 0.00658, + 0.00688, 0.00658, 0.00585, 0.00512, 0.00482, 0.00512, 0.00581, 0.00660, 0.00731, 0.00776, 0.00793, 0.00777, 0.00731, 0.00664, 0.00581, 0.00502, 0.00432, 0.00386, 0.00370, 0.00385, 0.00432, 0.00498, 0.00573, 0.00676, 0.00768, 0.00841, 0.00888, 0.00904, 0.00888, 0.00841, 0.00768, 0.00676, 0.00573, 0.00471, 0.00379, 0.00305, 0.00258, 0.00242, 0.00258, 0.00305, 0.00379, + 0.00471, 0.00558, 0.00679, 0.00792, 0.00889, 0.00964, 0.01011, 0.01027, 0.01011, 0.00964, 0.00889, 0.00792, 0.00679, 0.00558, 0.00437, 0.00324, 0.00227, 0.00153, 0.00106, 0.00090, 0.00106, 0.00153, 0.00227, 0.00324, 0.00437, 0.00529, 0.00692, 0.00844, 0.00974, 0.01074, 0.01137, 0.01159, 0.01137, 0.01074, 0.00974, 0.00844, 6.60372, 0.00529, 0.00366, 0.00214, 0.00083, + 0.00001, 0.00005, 0.00007, 0.00005, 0.00001, 0.00083, 0.00214, 0.00366, 0.00469, 0.00679, 0.00875, 0.01028, 0.01028, 0.01028, 0.01028, 0.01028, 0.01028, 0.01028, 0.00875, 0.00679, 0.00469, 0.00259, 0.00063, 0.00007, 0.00016, 0.00021, 0.00023, 0.00021, 0.00016, 0.00007, 0.00063, 0.00259, 0.00353, 0.00716, 0.00773, 0.00773, 0.00773, 0.00773, 0.00773, 0.00731, 0.00353, + 0.00001, 0.00023, 0.00037, 0.00042, 0.00037, 0.00023, 0.00002, 0.00111, 0.00243, 0.00243, 0.00243, 0.00243, 0.00243, 0.00111, 0.00019, 0.00024, 0.00024, 0.00024, 0.00019, 0.00847, 0.00846, 0.00951, 0.00995, 0.00951, 0.00846, 0.00740, 0.00697, 0.00740, 0.00840, 0.00955, 0.01056, 0.01122, 0.01146, 0.01124, 0.01056, 0.00960, 0.00840, 0.00726, 0.00624, 0.00559, 0.00534, + 0.00557, 0.00624, 0.00721, 0.00829, 0.00977, 0.01110, 0.01216, 0.01284, 0.01307, 0.01284, 0.01216, 0.01110, 0.00977, 0.00829, 0.00681, 0.00548, 0.00442, 0.00374, 0.00350, 0.00374, 0.00442, 0.00548, 0.00681, 0.00807, 0.00982, 0.01146, 0.01286, 0.01394, 0.01461, 0.01484, 0.01461, 0.01394, 0.01286, 0.01146, 0.00982, 0.00807, 0.00632, 0.00469, 0.00328, 0.00221, 0.00153, + 0.00130, 0.00153, 0.00221, 0.00328, 0.00469, 0.00632, 0.00764, 0.01000, 0.01220, 0.01409, 0.01554, 0.01645, 0.01676, 0.01645, 0.01554, 0.01409, 0.01220, 0.01000, 6.60445, 0.00529, 0.00309, 0.00120, 0.00002, 0.00008, 0.00010, 0.00008, 0.00002, 0.00120, 0.00309, 0.00529, 0.00678, 0.00982, 0.01266, 0.01487, 0.01487, 0.01487, 0.01487, 0.01487, 0.01487, 0.01487, 0.01266, + 0.00982, 0.00678, 0.00374, 0.00091, 0.00010, 0.00023, 0.00031, 0.00034, 0.00031, 0.00023, 0.00010, 0.00091, 0.00374, 0.00510, 0.01035, 0.01117, 0.01117, 0.01117, 0.01117, 0.01117, 0.01057, 0.00510, 0.00001, 0.00033, 0.00053, 0.00061, 0.00054, 0.00033, 0.00003, 0.00160, 0.00352, 0.00352, 0.00352, 0.00352, 0.00352, 0.00160, 0.00027, 0.00035, 0.00035, 0.00035, 0.00027, + 0.01109, 0.01107, 0.01245, 0.01302, 0.01245, 0.01107, 0.00969, 0.00912, 0.00969, 0.01099, 0.01249, 0.01382, 0.01468, 0.01500, 0.01470, 0.01382, 0.01256, 0.01099, 0.00949, 0.00816, 0.00731, 0.00699, 0.00728, 0.00816, 0.00943, 0.01085, 0.01278, 0.01453, 0.01591, 0.01680, 0.01711, 0.01680, 0.01591, 0.01453, 0.01278, 0.01085, 0.00891, 0.00717, 0.00578, 0.00489, 0.00458, + 0.00489, 0.00578, 0.00717, 0.00891, 0.01056, 0.01286, 0.01499, 0.01683, 0.01824, 0.01912, 0.01942, 0.01912, 0.01824, 0.01683, 0.01499, 0.01286, 0.01056, 0.00827, 0.00613, 0.00429, 0.00289, 0.00200, 0.00170, 0.00200, 0.00289, 0.00429, 0.00613, 0.00827, 0.01000, 0.01309, 0.01596, 0.01843, 0.02033, 0.02152, 0.02192, 0.02152, 0.02033, 0.01843, 0.01596, 0.01309, 0.01000, + 6.60372, 0.00404, 0.00157, 0.00002, 0.00010, 0.00013, 0.00010, 0.00002, 0.00157, 0.00404, 0.00692, 0.00888, 0.01286, 0.01656, 0.01946, 0.01945, 0.01945, 0.01945, 0.01945, 0.01945, 0.01946, 0.01656, 0.01286, 0.00888, 0.00490, 0.00119, 0.00014, 0.00030, 0.00041, 0.00044, 0.00041, 0.00030, 0.00014, 0.00119, 0.00490, 0.00667, 0.01354, 0.01462, 0.01462, 0.01462, 0.01462, + 0.01462, 0.01384, 0.00667, 0.00001, 0.00043, 0.00069, 0.00079, 0.00070, 0.00043, 0.00003, 0.00210, 0.00460, 0.00460, 0.00460, 0.00460, 0.00460, 0.00210, 0.00035, 0.00045, 0.00046, 0.00045, 0.00035, 0.01352, 0.01350, 0.01518, 0.01588, 0.01518, 0.01350, 0.01181, 0.01112, 0.01181, 0.01341, 0.01524, 0.01686, 0.01790, 0.01829, 0.01793, 0.01686, 0.01532, 0.01341, 0.01158, + 0.00996, 0.00892, 0.00853, 0.00888, 0.00996, 0.01150, 0.01323, 0.01559, 0.01772, 0.01941, 0.02049, 0.02087, 0.02049, 0.01941, 0.01772, 0.01559, 0.01323, 0.01087, 0.00874, 0.00705, 0.00596, 0.00559, 0.00596, 0.00705, 0.00874, 0.01087, 0.01288, 0.01568, 0.01829, 0.02052, 0.02224, 0.02332, 0.02369, 0.02332, 0.02224, 0.02052, 0.01829, 0.01568, 0.01288, 0.01008, 0.00748, + 0.00524, 0.00352, 0.00244, 0.00207, 0.00244, 0.00352, 0.00524, 0.00748, 0.01008, 0.01220, 0.01596, 0.01947, 0.02248, 0.02479, 0.02624, 0.02674, 0.02624, 0.02479, 0.02248, 0.01947, 0.01596, 0.01220, 0.00844, 6.60174, 0.00192, 0.00003, 0.00013, 0.00016, 0.00013, 0.00003, 0.00192, 0.00493, 0.00844, 0.01083, 0.01568, 0.02020, 0.02373, 0.02373, 0.02373, 0.02372, 0.02373, + 0.02373, 0.02373, 0.02020, 0.01568, 0.01083, 0.00597, 0.00145, 0.00017, 0.00037, 0.00050, 0.00054, 0.00050, 0.00037, 0.00017, 0.00145, 0.00597, 0.00814, 0.01651, 0.01783, 0.01783, 0.01783, 0.01783, 0.01783, 0.01687, 0.00814, 0.00002, 0.00052, 0.00085, 0.00097, 0.00086, 0.00052, 0.00004, 0.00256, 0.00561, 0.00561, 0.00561, 0.00561, 0.00561, 0.00256, 0.00043, 0.00055, + 0.00056, 0.00055, 0.00043, 0.01562, 0.01558, 0.01753, 0.01833, 0.01753, 0.01558, 0.01364, 0.01284, 0.01364, 0.01548, 0.01759, 0.01947, 0.02067, 0.02112, 0.02071, 0.01947, 0.01768, 0.01548, 0.01337, 0.01150, 0.01030, 0.00985, 0.01026, 0.01150, 0.01328, 0.01527, 0.01800, 0.02046, 0.02241, 0.02366, 0.02409, 0.02366, 0.02241, 0.02046, 0.01800, 0.01527, 0.01255, 0.01009, + 0.00814, 0.00689, 0.00646, 0.00689, 0.00814, 0.01009, 0.01255, 0.01487, 0.01810, 0.02111, 0.02370, 0.02568, 0.02693, 0.02735, 0.02693, 0.02568, 0.02370, 0.02111, 0.01810, 0.01487, 0.01164, 0.00863, 0.00605, 0.00407, 0.00282, 0.00239, 0.00282, 0.00407, 0.00605, 0.00863, 0.01164, 0.01409, 0.01843, 0.02248, 0.02596, 0.02863, 0.03030, 0.03088, 0.03030, 0.02863, 0.02596, + 0.02248, 0.01843, 0.01409, 0.00974, 0.00569, 6.59902, 0.00003, 0.00014, 0.00018, 0.00014, 0.00003, 0.00222, 0.00569, 0.00974, 0.01250, 0.01810, 0.02333, 0.02740, 0.02740, 0.02739, 0.02739, 0.02739, 0.02740, 0.02740, 0.02333, 0.01810, 0.01250, 0.00690, 0.00167, 0.00019, 0.00043, 0.00057, 0.00062, 0.00057, 0.00043, 0.00019, 0.00167, 0.00690, 0.00940, 0.01907, 0.02059, + 0.02059, 0.02059, 0.02059, 0.02059, 0.01948, 0.00940, 0.00002, 0.00060, 0.00098, 0.00112, 0.00099, 0.00060, 0.00005, 0.00296, 0.00648, 0.00648, 0.00648, 0.00648, 0.00648, 0.00296, 0.00050, 0.00064, 0.00065, 0.00064, 0.00050, 0.01722, 0.01719, 0.01933, 0.02022, 0.01933, 0.01719, 0.01504, 0.01416, 0.01504, 0.01707, 0.01940, 0.02147, 0.02279, 0.02329, 0.02284, 0.02147, + 0.01950, 0.01707, 0.01475, 0.01268, 0.01135, 0.01086, 0.01131, 0.01268, 0.01465, 0.01684, 0.01985, 0.02256, 0.02471, 0.02609, 0.02657, 0.02609, 0.02471, 0.02256, 0.01985, 0.01684, 0.01384, 0.01113, 0.00898, 0.00760, 0.00712, 0.00760, 0.00898, 0.01113, 0.01384, 0.01640, 0.01996, 0.02328, 0.02613, 0.02832, 0.02970, 0.03017, 0.02970, 0.02832, 0.02613, 0.02328, 0.01996, + 0.01640, 0.01284, 0.00952, 0.00667, 0.00448, 0.00311, 0.00264, 0.00311, 0.00448, 0.00667, 0.00952, 0.01284, 0.01554, 0.02033, 0.02479, 0.02863, 0.03157, 0.03342, 0.03405, 0.03342, 0.03157, 0.02863, 0.02479, 0.02033, 0.01554, 0.01074, 0.00628, 0.00244, 6.59684, 0.00016, 0.00020, 0.00016, 0.00003, 0.00244, 0.00628, 0.01074, 0.01379, 0.01997, 0.02572, 0.03022, 0.03021, + 0.03021, 0.03021, 0.03021, 0.03021, 0.03022, 0.02572, 0.01997, 0.01379, 0.00761, 0.00185, 0.00021, 0.00047, 0.00063, 0.00069, 0.00063, 0.00047, 0.00021, 0.00185, 0.00761, 0.01036, 0.02103, 0.02271, 0.02271, 0.02271, 0.02271, 0.02271, 0.02149, 0.01036, 0.00002, 0.00066, 0.00108, 0.00123, 0.00109, 0.00066, 0.00005, 0.00326, 0.00715, 0.00715, 0.00715, 0.00715, 0.00715, + 0.00326, 0.00055, 0.00070, 0.00071, 0.00070, 0.00055, 0.01823, 0.01819, 0.02046, 0.02140, 0.02046, 0.01819, 0.01593, 0.01499, 0.01593, 0.01807, 0.02054, 0.02273, 0.02413, 0.02465, 0.02417, 0.02273, 0.02064, 0.01807, 0.01561, 0.01342, 0.01202, 0.01150, 0.01197, 0.01342, 0.01550, 0.01783, 0.02101, 0.02388, 0.02616, 0.02762, 0.02813, 0.02762, 0.02616, 0.02388, 0.02101, + 0.01783, 0.01465, 0.01178, 0.00950, 0.00804, 0.00754, 0.00804, 0.00950, 0.01178, 0.01465, 0.01736, 0.02113, 0.02465, 0.02767, 0.02998, 0.03144, 0.03193, 0.03144, 0.02998, 0.02767, 0.02465, 0.02113, 0.01736, 0.01359, 0.01008, 0.00706, 0.00475, 0.00329, 0.00279, 0.00329, 0.00475, 0.00706, 0.01008, 0.01359, 0.01645, 0.02152, 0.02624, 0.03030, 0.03342, 0.03538, 0.03604, + 0.03538, 0.03342, 0.03030, 0.02624, 0.02152, 0.01645, 0.01137, 0.00665, 0.00259, 0.00004, 6.59698, 0.00021, 0.00017, 0.00004, 0.00259, 0.00665, 0.01137, 0.01459, 0.02113, 0.02723, 0.03199, 0.03198, 0.03198, 0.03198, 0.03198, 0.03198, 0.03199, 0.02723, 0.02113, 0.01459, 0.00805, 0.00196, 0.00022, 0.00050, 0.00067, 0.00073, 0.00067, 0.00050, 0.00022, 0.00196, 0.00805, + 0.01097, 0.02226, 0.02404, 0.02404, 0.02404, 0.02404, 0.02404, 0.02275, 0.01097, 0.00002, 0.00070, 0.00114, 0.00130, 0.00116, 0.00070, 0.00005, 0.00345, 0.00757, 0.00757, 0.00757, 0.00757, 0.00757, 0.00345, 0.00058, 0.00074, 0.00076, 0.00074, 0.00058, 0.01857, 0.01854, 0.02085, 0.02181, 0.02085, 0.01854, 0.01623, 0.01527, 0.01623, 0.01842, 0.02093, 0.02316, 0.02459, + 0.02512, 0.02463, 0.02316, 0.02103, 0.01842, 0.01590, 0.01368, 0.01225, 0.01171, 0.01220, 0.01368, 0.01580, 0.01817, 0.02141, 0.02433, 0.02665, 0.02814, 0.02866, 0.02814, 0.02665, 0.02433, 0.02141, 0.01817, 0.01493, 0.01200, 0.00968, 0.00819, 0.00768, 0.00819, 0.00968, 0.01200, 0.01493, 0.01769, 0.02153, 0.02511, 0.02819, 0.03055, 0.03203, 0.03254, 0.03203, 0.03055, + 0.02819, 0.02511, 0.02153, 0.01769, 0.01385, 0.01027, 0.00719, 0.00484, 0.00335, 0.00285, 0.00335, 0.00484, 0.00719, 0.01027, 0.01385, 0.01676, 0.02192, 0.02674, 0.03088, 0.03405, 0.03604, 0.03672, 0.03604, 0.03405, 0.03088, 0.02674, 0.02192, 0.01676, 0.01159, 0.00677, 0.00264, 0.00004, 0.00017, 6.59702, 0.00017, 0.00004, 0.00264, 0.00677, 0.01159, 0.01487, 0.02153, + 0.02774, 0.03259, 0.03259, 0.03258, 0.03258, 0.03258, 0.03259, 0.03259, 0.02774, 0.02153, 0.01487, 0.00820, 0.00199, 0.00023, 0.00051, 0.00068, 0.00074, 0.00068, 0.00051, 0.00023, 0.00199, 0.00820, 0.01118, 0.02268, 0.02449, 0.02449, 0.02449, 0.02449, 0.02449, 0.02318, 0.01118, 0.00002, 0.00072, 0.00116, 0.00133, 0.00118, 0.00072, 0.00006, 0.00352, 0.00771, 0.00771, + 0.00771, 0.00771, 0.00771, 0.00352, 0.00059, 0.00076, 0.00077, 0.00076, 0.00059, 0.01823, 0.01819, 0.02046, 0.02140, 0.02046, 0.01819, 0.01593, 0.01499, 0.01593, 0.01807, 0.02054, 0.02273, 0.02413, 0.02465, 0.02417, 0.02273, 0.02064, 0.01807, 0.01561, 0.01342, 0.01202, 0.01150, 0.01197, 0.01342, 0.01550, 0.01783, 0.02101, 0.02388, 0.02616, 0.02762, 0.02813, 0.02762, + 0.02616, 0.02388, 0.02101, 0.01783, 0.01465, 0.01178, 0.00950, 0.00804, 0.00754, 0.00804, 0.00950, 0.01178, 0.01465, 0.01736, 0.02113, 0.02465, 0.02767, 0.02998, 0.03144, 0.03193, 0.03144, 0.02998, 0.02767, 0.02465, 0.02113, 0.01736, 0.01359, 0.01008, 0.00706, 0.00475, 0.00329, 0.00279, 0.00329, 0.00475, 0.00706, 0.01008, 0.01359, 0.01645, 0.02152, 0.02624, 0.03030, + 0.03342, 0.03538, 0.03604, 0.03538, 0.03342, 0.03030, 0.02624, 0.02152, 0.01645, 0.01137, 0.00665, 0.00259, 0.00004, 0.00017, 0.00021, 6.59698, 0.00004, 0.00259, 0.00665, 0.01137, 0.01459, 0.02113, 0.02723, 0.03199, 0.03198, 0.03198, 0.03198, 0.03198, 0.03198, 0.03199, 0.02723, 0.02113, 0.01459, 0.00805, 0.00196, 0.00022, 0.00050, 0.00067, 0.00073, 0.00067, 0.00050, + 0.00022, 0.00196, 0.00805, 0.01097, 0.02226, 0.02404, 0.02404, 0.02404, 0.02404, 0.02404, 0.02275, 0.01097, 0.00002, 0.00070, 0.00114, 0.00130, 0.00116, 0.00070, 0.00005, 0.00345, 0.00757, 0.00757, 0.00757, 0.00757, 0.00757, 0.00345, 0.00058, 0.00074, 0.00076, 0.00074, 0.00058, 0.01722, 0.01719, 0.01933, 0.02022, 0.01933, 0.01719, 0.01504, 0.01416, 0.01504, 0.01707, + 0.01940, 0.02147, 0.02279, 0.02329, 0.02284, 0.02147, 0.01950, 0.01707, 0.01475, 0.01268, 0.01135, 0.01086, 0.01131, 0.01268, 0.01465, 0.01684, 0.01985, 0.02256, 0.02471, 0.02609, 0.02657, 0.02609, 0.02471, 0.02256, 0.01985, 0.01684, 0.01384, 0.01113, 0.00898, 0.00760, 0.00712, 0.00760, 0.00898, 0.01113, 0.01384, 0.01640, 0.01996, 0.02328, 0.02613, 0.02832, 0.02970, + 0.03017, 0.02970, 0.02832, 0.02613, 0.02328, 0.01996, 0.01640, 0.01284, 0.00952, 0.00667, 0.00448, 0.00311, 0.00264, 0.00311, 0.00448, 0.00667, 0.00952, 0.01284, 0.01554, 0.02033, 0.02479, 0.02863, 0.03157, 0.03342, 0.03405, 0.03342, 0.03157, 0.02863, 0.02479, 0.02033, 0.01554, 0.01074, 0.00628, 0.00244, 0.00003, 0.00016, 0.00020, 0.00016, 6.59684, 0.00244, 0.00628, + 0.01074, 0.01379, 0.01997, 0.02572, 0.03022, 0.03021, 0.03021, 0.03021, 0.03021, 0.03021, 0.03022, 0.02572, 0.01997, 0.01379, 0.00761, 0.00185, 0.00021, 0.00047, 0.00063, 0.00069, 0.00063, 0.00047, 0.00021, 0.00185, 0.00761, 0.01036, 0.02103, 0.02271, 0.02271, 0.02271, 0.02271, 0.02271, 0.02149, 0.01036, 0.00002, 0.00066, 0.00108, 0.00123, 0.00109, 0.00066, 0.00005, + 0.00326, 0.00715, 0.00715, 0.00715, 0.00715, 0.00715, 0.00326, 0.00055, 0.00070, 0.00071, 0.00070, 0.00055, 0.01562, 0.01558, 0.01753, 0.01833, 0.01753, 0.01558, 0.01364, 0.01284, 0.01364, 0.01548, 0.01759, 0.01947, 0.02067, 0.02112, 0.02071, 0.01947, 0.01768, 0.01548, 0.01337, 0.01150, 0.01030, 0.00985, 0.01026, 0.01150, 0.01328, 0.01527, 0.01800, 0.02046, 0.02241, + 0.02366, 0.02409, 0.02366, 0.02241, 0.02046, 0.01800, 0.01527, 0.01255, 0.01009, 0.00814, 0.00689, 0.00646, 0.00689, 0.00814, 0.01009, 0.01255, 0.01487, 0.01810, 0.02111, 0.02370, 0.02568, 0.02693, 0.02735, 0.02693, 0.02568, 0.02370, 0.02111, 0.01810, 0.01487, 0.01164, 0.00863, 0.00605, 0.00407, 0.00282, 0.00239, 0.00282, 0.00407, 0.00605, 0.00863, 0.01164, 0.01409, + 0.01843, 0.02248, 0.02596, 0.02863, 0.03030, 0.03088, 0.03030, 0.02863, 0.02596, 0.02248, 0.01843, 0.01409, 0.00974, 0.00569, 0.00222, 0.00003, 0.00014, 0.00018, 0.00014, 0.00003, 6.59902, 0.00569, 0.00974, 0.01250, 0.01810, 0.02333, 0.02740, 0.02740, 0.02739, 0.02739, 0.02739, 0.02740, 0.02740, 0.02333, 0.01810, 0.01250, 0.00690, 0.00167, 0.00019, 0.00043, 0.00057, + 0.00062, 0.00057, 0.00043, 0.00019, 0.00167, 0.00690, 0.00940, 0.01907, 0.02059, 0.02059, 0.02059, 0.02059, 0.02059, 0.01948, 0.00940, 0.00002, 0.00060, 0.00098, 0.00112, 0.00099, 0.00060, 0.00005, 0.00296, 0.00648, 0.00648, 0.00648, 0.00648, 0.00648, 0.00296, 0.00050, 0.00064, 0.00065, 0.00064, 0.00050, 0.01352, 0.01350, 0.01518, 0.01588, 0.01518, 0.01350, 0.01181, + 0.01112, 0.01181, 0.01341, 0.01524, 0.01686, 0.01790, 0.01829, 0.01793, 0.01686, 0.01532, 0.01341, 0.01158, 0.00996, 0.00892, 0.00853, 0.00888, 0.00996, 0.01150, 0.01323, 0.01559, 0.01772, 0.01941, 0.02049, 0.02087, 0.02049, 0.01941, 0.01772, 0.01559, 0.01323, 0.01087, 0.00874, 0.00705, 0.00596, 0.00559, 0.00596, 0.00705, 0.00874, 0.01087, 0.01288, 0.01568, 0.01829, + 0.02052, 0.02224, 0.02332, 0.02369, 0.02332, 0.02224, 0.02052, 0.01829, 0.01568, 0.01288, 0.01008, 0.00748, 0.00524, 0.00352, 0.00244, 0.00207, 0.00244, 0.00352, 0.00524, 0.00748, 0.01008, 0.01220, 0.01596, 0.01947, 0.02248, 0.02479, 0.02624, 0.02674, 0.02624, 0.02479, 0.02248, 0.01947, 0.01596, 0.01220, 0.00844, 0.00493, 0.00192, 0.00003, 0.00013, 0.00016, 0.00013, + 0.00003, 0.00192, 6.60174, 0.00844, 0.01083, 0.01568, 0.02020, 0.02373, 0.02373, 0.02373, 0.02372, 0.02373, 0.02373, 0.02373, 0.02020, 0.01568, 0.01083, 0.00597, 0.00145, 0.00017, 0.00037, 0.00050, 0.00054, 0.00050, 0.00037, 0.00017, 0.00145, 0.00597, 0.00814, 0.01651, 0.01783, 0.01783, 0.01783, 0.01783, 0.01783, 0.01687, 0.00814, 0.00002, 0.00052, 0.00085, 0.00097, + 0.00086, 0.00052, 0.00004, 0.00256, 0.00561, 0.00561, 0.00561, 0.00561, 0.00561, 0.00256, 0.00043, 0.00055, 0.00056, 0.00055, 0.00043, 0.01109, 0.01107, 0.01245, 0.01302, 0.01245, 0.01107, 0.00969, 0.00912, 0.00969, 0.01099, 0.01249, 0.01382, 0.01468, 0.01500, 0.01470, 0.01382, 0.01256, 0.01099, 0.00949, 0.00816, 0.00731, 0.00699, 0.00728, 0.00816, 0.00943, 0.01085, + 0.01278, 0.01453, 0.01591, 0.01680, 0.01711, 0.01680, 0.01591, 0.01453, 0.01278, 0.01085, 0.00891, 0.00717, 0.00578, 0.00489, 0.00458, 0.00489, 0.00578, 0.00717, 0.00891, 0.01056, 0.01286, 0.01499, 0.01683, 0.01824, 0.01912, 0.01942, 0.01912, 0.01824, 0.01683, 0.01499, 0.01286, 0.01056, 0.00827, 0.00613, 0.00429, 0.00289, 0.00200, 0.00170, 0.00200, 0.00289, 0.00429, + 0.00613, 0.00827, 0.01000, 0.01309, 0.01596, 0.01843, 0.02033, 0.02152, 0.02192, 0.02152, 0.02033, 0.01843, 0.01596, 0.01309, 0.01000, 0.00692, 0.00404, 0.00157, 0.00002, 0.00010, 0.00013, 0.00010, 0.00002, 0.00157, 0.00404, 6.60372, 0.00888, 0.01286, 0.01656, 0.01946, 0.01945, 0.01945, 0.01945, 0.01945, 0.01945, 0.01946, 0.01656, 0.01286, 0.00888, 0.00490, 0.00119, + 0.00014, 0.00030, 0.00041, 0.00044, 0.00041, 0.00030, 0.00014, 0.00119, 0.00490, 0.00667, 0.01354, 0.01462, 0.01462, 0.01462, 0.01462, 0.01462, 0.01384, 0.00667, 0.00001, 0.00043, 0.00069, 0.00079, 0.00070, 0.00043, 0.00003, 0.00210, 0.00460, 0.00460, 0.00460, 0.00460, 0.00460, 0.00210, 0.00035, 0.00045, 0.00046, 0.00045, 0.00035, 0.00751, 0.00750, 0.00843, 0.00882, + 0.00843, 0.00750, 0.00656, 0.00618, 0.00656, 0.00745, 0.00847, 0.00937, 0.00995, 0.01016, 0.00996, 0.00937, 0.00851, 0.00745, 0.00643, 0.00553, 0.00495, 0.00474, 0.00494, 0.00553, 0.00639, 0.00735, 0.00866, 0.00985, 0.01078, 0.01139, 0.01160, 0.01139, 0.01078, 0.00985, 0.00866, 0.00735, 0.00604, 0.00486, 0.00392, 0.00331, 0.00311, 0.00331, 0.00392, 0.00486, 0.00604, + 0.00716, 0.00872, 0.01016, 0.01141, 0.01236, 0.01296, 0.01317, 0.01296, 0.01236, 0.01141, 0.01016, 0.00872, 0.00716, 0.00561, 0.00416, 0.00291, 0.00196, 0.00136, 0.00115, 0.00136, 0.00196, 0.00291, 0.00416, 0.00561, 0.00678, 0.00888, 0.01083, 0.01250, 0.01379, 0.01459, 0.01487, 0.01459, 0.01379, 0.01250, 0.01083, 0.00888, 0.00678, 0.00469, 0.00274, 0.00107, 0.00001, + 0.00007, 0.00009, 0.00007, 0.00001, 0.00107, 0.00274, 0.00469, 10.34044, 0.00872, 0.01124, 0.01320, 0.01320, 0.01320, 0.01320, 0.01320, 0.01320, 0.01320, 0.01124, 0.00872, 0.00602, 0.00332, 0.00081, 0.00009, 0.00020, 0.00028, 0.00030, 0.00028, 0.00020, 0.00009, 0.00081, 0.00332, 0.00453, 0.00919, 0.00993, 0.00993, 0.00993, 0.00993, 0.00993, 0.00939, 0.00453, 0.00001, + 0.00029, 0.00047, 0.00054, 0.00048, 0.00029, 0.00002, 0.00143, 0.00313, 0.00313, 0.00313, 0.00313, 0.00313, 0.00143, 0.00024, 0.00031, 0.00031, 0.00031, 0.00024, 0.00414, 0.00414, 0.00465, 0.00487, 0.00465, 0.00414, 0.00362, 0.00341, 0.00362, 0.00411, 0.00467, 0.00517, 0.00549, 0.00561, 0.00550, 0.00517, 0.00469, 0.00411, 0.00355, 0.00305, 0.00273, 0.00261, 0.00272, + 0.00305, 0.00353, 0.00406, 0.00478, 0.00543, 0.00595, 0.00628, 0.00640, 0.00628, 0.00595, 0.00543, 0.00478, 0.00406, 0.00333, 0.00268, 0.00216, 0.00183, 0.00171, 0.00183, 0.00216, 0.00268, 0.00333, 0.00395, 0.00481, 0.00561, 0.00629, 0.00682, 0.00715, 0.00727, 0.00715, 0.00682, 0.00629, 0.00561, 0.00481, 0.00395, 0.00309, 0.00229, 0.00161, 0.00108, 0.00075, 0.00064, + 0.00075, 0.00108, 0.00161, 0.00229, 0.00309, 0.00374, 0.00490, 0.00597, 0.00690, 0.00761, 0.00805, 0.00820, 0.00805, 0.00761, 0.00690, 0.00597, 0.00490, 0.00374, 0.00259, 0.00151, 0.00059, 0.00001, 0.00004, 0.00005, 0.00004, 0.00001, 0.00059, 0.00151, 0.00259, 0.00332, 10.33923, 0.00620, 0.00728, 0.00728, 0.00728, 0.00728, 0.00728, 0.00728, 0.00728, 0.00620, 0.00481, + 0.00332, 0.00183, 0.00045, 0.00005, 0.00011, 0.00015, 0.00017, 0.00015, 0.00011, 0.00005, 0.00045, 0.00183, 0.00250, 0.00507, 0.00548, 0.00548, 0.00548, 0.00548, 0.00548, 0.00518, 0.00250, 0.00000, 0.00016, 0.00026, 0.00030, 0.00026, 0.00016, 0.00001, 0.00079, 0.00173, 0.00173, 0.00173, 0.00173, 0.00173, 0.00079, 0.00013, 0.00017, 0.00017, 0.00017, 0.00013, 0.00101, + 0.00100, 0.00113, 0.00118, 0.00113, 0.00100, 0.00088, 0.00083, 0.00088, 0.00100, 0.00113, 0.00125, 0.00133, 0.00136, 0.00133, 0.00125, 0.00114, 0.00100, 0.00086, 0.00074, 0.00066, 0.00063, 0.00066, 0.00074, 0.00086, 0.00098, 0.00116, 0.00132, 0.00144, 0.00153, 0.00155, 0.00153, 0.00144, 0.00132, 0.00116, 0.00098, 0.00081, 0.00065, 0.00052, 0.00044, 0.00042, 0.00044, + 0.00052, 0.00065, 0.00081, 0.00096, 0.00117, 0.00136, 0.00153, 0.00166, 0.00174, 0.00176, 0.00174, 0.00166, 0.00153, 0.00136, 0.00117, 0.00096, 0.00075, 0.00056, 0.00039, 0.00026, 0.00018, 0.00015, 0.00018, 0.00026, 0.00039, 0.00056, 0.00075, 0.00091, 0.00119, 0.00145, 0.00167, 0.00185, 0.00196, 0.00199, 0.00196, 0.00185, 0.00167, 0.00145, 0.00119, 0.00091, 0.00063, + 0.00037, 0.00014, 0.00000, 0.00001, 0.00001, 0.00001, 0.00000, 0.00014, 0.00037, 0.00063, 0.00081, 0.00117, 10.33592, 0.00177, 0.00177, 0.00177, 0.00177, 0.00177, 0.00177, 0.00177, 0.00151, 0.00117, 0.00081, 0.00045, 0.00011, 0.00001, 0.00003, 0.00004, 0.00004, 0.00004, 0.00003, 0.00001, 0.00011, 0.00045, 0.00061, 0.00123, 0.00133, 0.00133, 0.00133, 0.00133, 0.00133, + 0.00126, 0.00061, 0.00000, 0.00004, 0.00006, 0.00007, 0.00006, 0.00004, 0.00000, 0.00019, 0.00042, 0.00042, 0.00042, 0.00042, 0.00042, 0.00019, 0.00003, 0.00004, 0.00004, 0.00004, 0.00003, 0.00011, 0.00011, 0.00013, 0.00013, 0.00013, 0.00011, 0.00010, 0.00009, 0.00010, 0.00011, 0.00013, 0.00014, 0.00015, 0.00016, 0.00015, 0.00014, 0.00013, 0.00011, 0.00010, 0.00008, + 0.00008, 0.00007, 0.00008, 0.00008, 0.00010, 0.00011, 0.00013, 0.00015, 0.00016, 0.00017, 0.00018, 0.00017, 0.00016, 0.00015, 0.00013, 0.00011, 0.00009, 0.00007, 0.00006, 0.00005, 0.00005, 0.00005, 0.00006, 0.00007, 0.00009, 0.00011, 0.00013, 0.00016, 0.00017, 0.00019, 0.00020, 0.00020, 0.00020, 0.00019, 0.00017, 0.00016, 0.00013, 0.00011, 0.00009, 0.00006, 0.00004, + 0.00003, 0.00002, 0.00002, 0.00002, 0.00003, 0.00004, 0.00006, 0.00009, 0.00010, 0.00014, 0.00017, 0.00019, 0.00021, 0.00022, 0.00023, 0.00022, 0.00021, 0.00019, 0.00017, 0.00014, 0.00010, 0.00007, 0.00004, 0.00002, 0.00005, 0.00023, 0.00029, 0.00023, 0.00005, 0.00002, 0.00004, 0.00007, 0.00009, 0.00013, 0.00017, 10.33462, 0.00020, 0.00019, 0.00019, 0.00019, 0.00020, + 0.00020, 0.00017, 0.00013, 0.00009, 0.00005, 0.00001, 0.00030, 0.00067, 0.00090, 0.00098, 0.00090, 0.00067, 0.00030, 0.00001, 0.00005, 0.00007, 0.00014, 0.00014, 0.00014, 0.00014, 0.00014, 0.00014, 0.00014, 0.00007, 0.00003, 0.00095, 0.00154, 0.00176, 0.00156, 0.00095, 0.00007, 0.00002, 0.00004, 0.00004, 0.00004, 0.00004, 0.00004, 0.00002, 0.00070, 0.00070, 0.00070, + 0.00070, 0.00070, 0.00026, 0.00025, 0.00029, 0.00030, 0.00029, 0.00025, 0.00022, 0.00021, 0.00022, 0.00025, 0.00029, 0.00032, 0.00034, 0.00035, 0.00034, 0.00032, 0.00029, 0.00025, 0.00022, 0.00019, 0.00017, 0.00016, 0.00017, 0.00019, 0.00022, 0.00025, 0.00029, 0.00033, 0.00037, 0.00039, 0.00039, 0.00039, 0.00037, 0.00033, 0.00029, 0.00025, 0.00021, 0.00017, 0.00013, + 0.00011, 0.00011, 0.00011, 0.00013, 0.00017, 0.00021, 0.00024, 0.00030, 0.00035, 0.00039, 0.00042, 0.00044, 0.00045, 0.00044, 0.00042, 0.00039, 0.00035, 0.00030, 0.00024, 0.00019, 0.00014, 0.00010, 0.00007, 0.00005, 0.00004, 0.00005, 0.00007, 0.00010, 0.00014, 0.00019, 0.00023, 0.00030, 0.00037, 0.00043, 0.00047, 0.00050, 0.00051, 0.00050, 0.00047, 0.00043, 0.00037, + 0.00030, 0.00023, 0.00016, 0.00009, 0.00004, 0.00011, 0.00051, 0.00064, 0.00051, 0.00011, 0.00004, 0.00009, 0.00016, 0.00020, 0.00030, 0.00038, 0.00045, 10.33485, 0.00043, 0.00042, 0.00043, 0.00043, 0.00045, 0.00038, 0.00030, 0.00020, 0.00011, 0.00003, 0.00067, 0.00149, 0.00201, 0.00219, 0.00201, 0.00149, 0.00067, 0.00003, 0.00011, 0.00015, 0.00031, 0.00032, 0.00031, + 0.00031, 0.00031, 0.00032, 0.00032, 0.00015, 0.00007, 0.00212, 0.00343, 0.00392, 0.00347, 0.00212, 0.00017, 0.00005, 0.00010, 0.00010, 0.00010, 0.00010, 0.00010, 0.00005, 0.00155, 0.00156, 0.00156, 0.00156, 0.00155, 0.00034, 0.00034, 0.00039, 0.00040, 0.00039, 0.00034, 0.00030, 0.00028, 0.00030, 0.00034, 0.00039, 0.00043, 0.00045, 0.00046, 0.00046, 0.00043, 0.00039, + 0.00034, 0.00029, 0.00025, 0.00023, 0.00022, 0.00023, 0.00025, 0.00029, 0.00034, 0.00040, 0.00045, 0.00049, 0.00052, 0.00053, 0.00052, 0.00049, 0.00045, 0.00040, 0.00034, 0.00028, 0.00022, 0.00018, 0.00015, 0.00014, 0.00015, 0.00018, 0.00022, 0.00028, 0.00033, 0.00040, 0.00047, 0.00052, 0.00057, 0.00059, 0.00060, 0.00059, 0.00057, 0.00052, 0.00047, 0.00040, 0.00033, + 0.00026, 0.00019, 0.00013, 0.00009, 0.00006, 0.00005, 0.00006, 0.00009, 0.00013, 0.00019, 0.00026, 0.00031, 0.00041, 0.00050, 0.00057, 0.00063, 0.00067, 0.00068, 0.00067, 0.00063, 0.00057, 0.00050, 0.00041, 0.00031, 0.00021, 0.00013, 0.00005, 0.00015, 0.00068, 0.00087, 0.00068, 0.00015, 0.00005, 0.00013, 0.00021, 0.00028, 0.00040, 0.00051, 0.00060, 0.00058, 10.33499, + 0.00057, 0.00057, 0.00058, 0.00060, 0.00051, 0.00040, 0.00028, 0.00015, 0.00004, 0.00090, 0.00201, 0.00270, 0.00294, 0.00270, 0.00201, 0.00090, 0.00004, 0.00015, 0.00021, 0.00042, 0.00042, 0.00042, 0.00042, 0.00042, 0.00042, 0.00043, 0.00021, 0.00009, 0.00285, 0.00462, 0.00528, 0.00468, 0.00285, 0.00022, 0.00007, 0.00013, 0.00013, 0.00013, 0.00013, 0.00013, 0.00007, + 0.00209, 0.00209, 0.00209, 0.00209, 0.00209, 0.00037, 0.00037, 0.00042, 0.00044, 0.00042, 0.00037, 0.00033, 0.00031, 0.00033, 0.00037, 0.00042, 0.00047, 0.00049, 0.00051, 0.00050, 0.00047, 0.00042, 0.00037, 0.00032, 0.00028, 0.00025, 0.00024, 0.00025, 0.00028, 0.00032, 0.00037, 0.00043, 0.00049, 0.00054, 0.00057, 0.00058, 0.00057, 0.00054, 0.00049, 0.00043, 0.00037, + 0.00030, 0.00024, 0.00019, 0.00016, 0.00015, 0.00016, 0.00019, 0.00024, 0.00030, 0.00036, 0.00043, 0.00051, 0.00057, 0.00062, 0.00065, 0.00066, 0.00065, 0.00062, 0.00057, 0.00051, 0.00043, 0.00036, 0.00028, 0.00021, 0.00014, 0.00010, 0.00007, 0.00006, 0.00007, 0.00010, 0.00014, 0.00021, 0.00028, 0.00034, 0.00044, 0.00054, 0.00062, 0.00069, 0.00073, 0.00074, 0.00073, + 0.00069, 0.00062, 0.00054, 0.00044, 0.00034, 0.00023, 0.00014, 0.00005, 0.00016, 0.00074, 0.00094, 0.00074, 0.00016, 0.00005, 0.00014, 0.00023, 0.00030, 0.00043, 0.00056, 0.00066, 0.00064, 0.00062, 10.33503, 0.00062, 0.00064, 0.00066, 0.00056, 0.00043, 0.00030, 0.00017, 0.00004, 0.00098, 0.00219, 0.00294, 0.00320, 0.00294, 0.00219, 0.00098, 0.00004, 0.00017, 0.00023, + 0.00046, 0.00046, 0.00045, 0.00045, 0.00045, 0.00046, 0.00047, 0.00023, 0.00010, 0.00310, 0.00503, 0.00574, 0.00509, 0.00310, 0.00024, 0.00007, 0.00014, 0.00015, 0.00015, 0.00015, 0.00014, 0.00007, 0.00227, 0.00228, 0.00228, 0.00228, 0.00227, 0.00034, 0.00034, 0.00039, 0.00040, 0.00039, 0.00034, 0.00030, 0.00028, 0.00030, 0.00034, 0.00039, 0.00043, 0.00045, 0.00046, + 0.00046, 0.00043, 0.00039, 0.00034, 0.00029, 0.00025, 0.00023, 0.00022, 0.00023, 0.00025, 0.00029, 0.00034, 0.00040, 0.00045, 0.00049, 0.00052, 0.00053, 0.00052, 0.00049, 0.00045, 0.00040, 0.00034, 0.00028, 0.00022, 0.00018, 0.00015, 0.00014, 0.00015, 0.00018, 0.00022, 0.00028, 0.00033, 0.00040, 0.00047, 0.00052, 0.00057, 0.00059, 0.00060, 0.00059, 0.00057, 0.00052, + 0.00047, 0.00040, 0.00033, 0.00026, 0.00019, 0.00013, 0.00009, 0.00006, 0.00005, 0.00006, 0.00009, 0.00013, 0.00019, 0.00026, 0.00031, 0.00041, 0.00050, 0.00057, 0.00063, 0.00067, 0.00068, 0.00067, 0.00063, 0.00057, 0.00050, 0.00041, 0.00031, 0.00021, 0.00013, 0.00005, 0.00015, 0.00068, 0.00087, 0.00068, 0.00015, 0.00005, 0.00013, 0.00021, 0.00028, 0.00040, 0.00051, + 0.00060, 0.00058, 0.00057, 0.00057, 10.33499, 0.00058, 0.00060, 0.00051, 0.00040, 0.00028, 0.00015, 0.00004, 0.00090, 0.00201, 0.00270, 0.00294, 0.00270, 0.00201, 0.00090, 0.00004, 0.00015, 0.00021, 0.00042, 0.00042, 0.00042, 0.00042, 0.00042, 0.00042, 0.00043, 0.00021, 0.00009, 0.00285, 0.00462, 0.00528, 0.00468, 0.00285, 0.00022, 0.00007, 0.00013, 0.00013, 0.00013, + 0.00013, 0.00013, 0.00007, 0.00209, 0.00209, 0.00209, 0.00209, 0.00209, 0.00026, 0.00025, 0.00029, 0.00030, 0.00029, 0.00025, 0.00022, 0.00021, 0.00022, 0.00025, 0.00029, 0.00032, 0.00034, 0.00035, 0.00034, 0.00032, 0.00029, 0.00025, 0.00022, 0.00019, 0.00017, 0.00016, 0.00017, 0.00019, 0.00022, 0.00025, 0.00029, 0.00033, 0.00037, 0.00039, 0.00039, 0.00039, 0.00037, + 0.00033, 0.00029, 0.00025, 0.00021, 0.00017, 0.00013, 0.00011, 0.00011, 0.00011, 0.00013, 0.00017, 0.00021, 0.00024, 0.00030, 0.00035, 0.00039, 0.00042, 0.00044, 0.00045, 0.00044, 0.00042, 0.00039, 0.00035, 0.00030, 0.00024, 0.00019, 0.00014, 0.00010, 0.00007, 0.00005, 0.00004, 0.00005, 0.00007, 0.00010, 0.00014, 0.00019, 0.00023, 0.00030, 0.00037, 0.00043, 0.00047, + 0.00050, 0.00051, 0.00050, 0.00047, 0.00043, 0.00037, 0.00030, 0.00023, 0.00016, 0.00009, 0.00004, 0.00011, 0.00051, 0.00064, 0.00051, 0.00011, 0.00004, 0.00009, 0.00016, 0.00020, 0.00030, 0.00038, 0.00045, 0.00043, 0.00043, 0.00042, 0.00043, 10.33485, 0.00045, 0.00038, 0.00030, 0.00020, 0.00011, 0.00003, 0.00067, 0.00149, 0.00201, 0.00219, 0.00201, 0.00149, 0.00067, + 0.00003, 0.00011, 0.00015, 0.00031, 0.00032, 0.00031, 0.00031, 0.00031, 0.00032, 0.00032, 0.00015, 0.00007, 0.00212, 0.00343, 0.00392, 0.00347, 0.00212, 0.00017, 0.00005, 0.00010, 0.00010, 0.00010, 0.00010, 0.00010, 0.00005, 0.00155, 0.00156, 0.00156, 0.00156, 0.00155, 0.00011, 0.00011, 0.00013, 0.00013, 0.00013, 0.00011, 0.00010, 0.00009, 0.00010, 0.00011, 0.00013, + 0.00014, 0.00015, 0.00016, 0.00015, 0.00014, 0.00013, 0.00011, 0.00010, 0.00008, 0.00008, 0.00007, 0.00008, 0.00008, 0.00010, 0.00011, 0.00013, 0.00015, 0.00016, 0.00017, 0.00018, 0.00017, 0.00016, 0.00015, 0.00013, 0.00011, 0.00009, 0.00007, 0.00006, 0.00005, 0.00005, 0.00005, 0.00006, 0.00007, 0.00009, 0.00011, 0.00013, 0.00016, 0.00017, 0.00019, 0.00020, 0.00020, + 0.00020, 0.00019, 0.00017, 0.00016, 0.00013, 0.00011, 0.00009, 0.00006, 0.00004, 0.00003, 0.00002, 0.00002, 0.00002, 0.00003, 0.00004, 0.00006, 0.00009, 0.00010, 0.00014, 0.00017, 0.00019, 0.00021, 0.00022, 0.00023, 0.00022, 0.00021, 0.00019, 0.00017, 0.00014, 0.00010, 0.00007, 0.00004, 0.00002, 0.00005, 0.00023, 0.00029, 0.00023, 0.00005, 0.00002, 0.00004, 0.00007, + 0.00009, 0.00013, 0.00017, 0.00020, 0.00020, 0.00019, 0.00019, 0.00019, 0.00020, 10.33462, 0.00017, 0.00013, 0.00009, 0.00005, 0.00001, 0.00030, 0.00067, 0.00090, 0.00098, 0.00090, 0.00067, 0.00030, 0.00001, 0.00005, 0.00007, 0.00014, 0.00014, 0.00014, 0.00014, 0.00014, 0.00014, 0.00014, 0.00007, 0.00003, 0.00095, 0.00154, 0.00176, 0.00156, 0.00095, 0.00007, 0.00002, + 0.00004, 0.00004, 0.00004, 0.00004, 0.00004, 0.00002, 0.00070, 0.00070, 0.00070, 0.00070, 0.00070, 0.00101, 0.00100, 0.00113, 0.00118, 0.00113, 0.00100, 0.00088, 0.00083, 0.00088, 0.00100, 0.00113, 0.00125, 0.00133, 0.00136, 0.00133, 0.00125, 0.00114, 0.00100, 0.00086, 0.00074, 0.00066, 0.00063, 0.00066, 0.00074, 0.00086, 0.00098, 0.00116, 0.00132, 0.00144, 0.00153, + 0.00155, 0.00153, 0.00144, 0.00132, 0.00116, 0.00098, 0.00081, 0.00065, 0.00052, 0.00044, 0.00042, 0.00044, 0.00052, 0.00065, 0.00081, 0.00096, 0.00117, 0.00136, 0.00153, 0.00166, 0.00174, 0.00176, 0.00174, 0.00166, 0.00153, 0.00136, 0.00117, 0.00096, 0.00075, 0.00056, 0.00039, 0.00026, 0.00018, 0.00015, 0.00018, 0.00026, 0.00039, 0.00056, 0.00075, 0.00091, 0.00119, + 0.00145, 0.00167, 0.00185, 0.00196, 0.00199, 0.00196, 0.00185, 0.00167, 0.00145, 0.00119, 0.00091, 0.00063, 0.00037, 0.00014, 0.00000, 0.00001, 0.00001, 0.00001, 0.00000, 0.00014, 0.00037, 0.00063, 0.00081, 0.00117, 0.00151, 0.00177, 0.00177, 0.00177, 0.00177, 0.00177, 0.00177, 0.00177, 10.33592, 0.00117, 0.00081, 0.00045, 0.00011, 0.00001, 0.00003, 0.00004, 0.00004, + 0.00004, 0.00003, 0.00001, 0.00011, 0.00045, 0.00061, 0.00123, 0.00133, 0.00133, 0.00133, 0.00133, 0.00133, 0.00126, 0.00061, 0.00000, 0.00004, 0.00006, 0.00007, 0.00006, 0.00004, 0.00000, 0.00019, 0.00042, 0.00042, 0.00042, 0.00042, 0.00042, 0.00019, 0.00003, 0.00004, 0.00004, 0.00004, 0.00003, 0.00414, 0.00414, 0.00465, 0.00487, 0.00465, 0.00414, 0.00362, 0.00341, + 0.00362, 0.00411, 0.00467, 0.00517, 0.00549, 0.00561, 0.00550, 0.00517, 0.00469, 0.00411, 0.00355, 0.00305, 0.00273, 0.00261, 0.00272, 0.00305, 0.00353, 0.00406, 0.00478, 0.00543, 0.00595, 0.00628, 0.00640, 0.00628, 0.00595, 0.00543, 0.00478, 0.00406, 0.00333, 0.00268, 0.00216, 0.00183, 0.00171, 0.00183, 0.00216, 0.00268, 0.00333, 0.00395, 0.00481, 0.00561, 0.00629, + 0.00682, 0.00715, 0.00727, 0.00715, 0.00682, 0.00629, 0.00561, 0.00481, 0.00395, 0.00309, 0.00229, 0.00161, 0.00108, 0.00075, 0.00064, 0.00075, 0.00108, 0.00161, 0.00229, 0.00309, 0.00374, 0.00490, 0.00597, 0.00690, 0.00761, 0.00805, 0.00820, 0.00805, 0.00761, 0.00690, 0.00597, 0.00490, 0.00374, 0.00259, 0.00151, 0.00059, 0.00001, 0.00004, 0.00005, 0.00004, 0.00001, + 0.00059, 0.00151, 0.00259, 0.00332, 0.00481, 0.00620, 0.00728, 0.00728, 0.00728, 0.00728, 0.00728, 0.00728, 0.00728, 0.00620, 10.33923, 0.00332, 0.00183, 0.00045, 0.00005, 0.00011, 0.00015, 0.00017, 0.00015, 0.00011, 0.00005, 0.00045, 0.00183, 0.00250, 0.00507, 0.00548, 0.00548, 0.00548, 0.00548, 0.00548, 0.00518, 0.00250, 0.00000, 0.00016, 0.00026, 0.00030, 0.00026, + 0.00016, 0.00001, 0.00079, 0.00173, 0.00173, 0.00173, 0.00173, 0.00173, 0.00079, 0.00013, 0.00017, 0.00017, 0.00017, 0.00013, 0.00751, 0.00750, 0.00843, 0.00882, 0.00843, 0.00750, 0.00656, 0.00618, 0.00656, 0.00745, 0.00847, 0.00937, 0.00995, 0.01016, 0.00996, 0.00937, 0.00851, 0.00745, 0.00643, 0.00553, 0.00495, 0.00474, 0.00494, 0.00553, 0.00639, 0.00735, 0.00866, + 0.00985, 0.01078, 0.01139, 0.01160, 0.01139, 0.01078, 0.00985, 0.00866, 0.00735, 0.00604, 0.00486, 0.00392, 0.00331, 0.00311, 0.00331, 0.00392, 0.00486, 0.00604, 0.00716, 0.00872, 0.01016, 0.01141, 0.01236, 0.01296, 0.01317, 0.01296, 0.01236, 0.01141, 0.01016, 0.00872, 0.00716, 0.00561, 0.00416, 0.00291, 0.00196, 0.00136, 0.00115, 0.00136, 0.00196, 0.00291, 0.00416, + 0.00561, 0.00678, 0.00888, 0.01083, 0.01250, 0.01379, 0.01459, 0.01487, 0.01459, 0.01379, 0.01250, 0.01083, 0.00888, 0.00678, 0.00469, 0.00274, 0.00107, 0.00001, 0.00007, 0.00009, 0.00007, 0.00001, 0.00107, 0.00274, 0.00469, 0.00602, 0.00872, 0.01124, 0.01320, 0.01320, 0.01320, 0.01320, 0.01320, 0.01320, 0.01320, 0.01124, 0.00872, 10.34044, 0.00332, 0.00081, 0.00009, + 0.00020, 0.00028, 0.00030, 0.00028, 0.00020, 0.00009, 0.00081, 0.00332, 0.00453, 0.00919, 0.00993, 0.00993, 0.00993, 0.00993, 0.00993, 0.00939, 0.00453, 0.00001, 0.00029, 0.00047, 0.00054, 0.00048, 0.00029, 0.00002, 0.00143, 0.00313, 0.00313, 0.00313, 0.00313, 0.00313, 0.00143, 0.00024, 0.00031, 0.00031, 0.00031, 0.00024, 0.01088, 0.01086, 0.01221, 0.01277, 0.01221, + 0.01086, 0.00951, 0.00894, 0.00951, 0.01079, 0.01226, 0.01357, 0.01440, 0.01472, 0.01443, 0.01357, 0.01232, 0.01079, 0.00932, 0.00801, 0.00717, 0.00686, 0.00715, 0.00801, 0.00926, 0.01065, 0.01255, 0.01426, 0.01562, 0.01649, 0.01679, 0.01649, 0.01562, 0.01426, 0.01255, 0.01065, 0.00875, 0.00703, 0.00567, 0.00480, 0.00450, 0.00480, 0.00567, 0.00703, 0.00875, 0.01037, + 0.01262, 0.01472, 0.01652, 0.01791, 0.01877, 0.01907, 0.01877, 0.01791, 0.01652, 0.01472, 0.01262, 0.01037, 0.00812, 0.00602, 0.00422, 0.00283, 0.00197, 0.00167, 0.00197, 0.00283, 0.00422, 0.00602, 0.00812, 0.00982, 0.01286, 0.01568, 0.01810, 0.01997, 0.02113, 0.02153, 0.02113, 0.01997, 0.01810, 0.01568, 0.01286, 0.00982, 0.00679, 0.00397, 0.00155, 0.00002, 0.00010, + 0.00013, 0.00010, 0.00002, 0.00155, 0.00397, 0.00679, 0.00872, 0.01263, 0.01628, 0.01912, 0.01912, 0.01911, 0.01911, 0.01911, 0.01912, 0.01912, 0.01628, 0.01263, 0.00872, 10.33923, 0.00117, 0.00013, 0.00030, 0.00040, 0.00043, 0.00040, 0.00030, 0.00013, 0.00117, 0.00481, 0.00656, 0.01331, 0.01438, 0.01438, 0.01438, 0.01438, 0.01438, 0.01360, 0.00656, 0.00001, 0.00042, + 0.00068, 0.00078, 0.00069, 0.00042, 0.00003, 0.00207, 0.00454, 0.00454, 0.00454, 0.00454, 0.00454, 0.00207, 0.00035, 0.00045, 0.00045, 0.00045, 0.00035, 0.01402, 0.01399, 0.01574, 0.01646, 0.01574, 0.01399, 0.01225, 0.01152, 0.01225, 0.01390, 0.01580, 0.01748, 0.01856, 0.01896, 0.01859, 0.01748, 0.01588, 0.01390, 0.01201, 0.01032, 0.00924, 0.00884, 0.00921, 0.01032, + 0.01192, 0.01372, 0.01616, 0.01837, 0.02012, 0.02125, 0.02164, 0.02125, 0.02012, 0.01837, 0.01616, 0.01372, 0.01127, 0.00906, 0.00731, 0.00619, 0.00580, 0.00619, 0.00731, 0.00906, 0.01127, 0.01336, 0.01626, 0.01897, 0.02129, 0.02307, 0.02419, 0.02457, 0.02419, 0.02307, 0.02129, 0.01897, 0.01626, 0.01336, 0.01046, 0.00776, 0.00543, 0.00365, 0.00253, 0.00215, 0.00253, + 0.00365, 0.00543, 0.00776, 0.01046, 0.01266, 0.01656, 0.02020, 0.02333, 0.02572, 0.02723, 0.02774, 0.02723, 0.02572, 0.02333, 0.02020, 0.01656, 0.01266, 0.00875, 0.00512, 0.00199, 0.00003, 0.00013, 0.00017, 0.00013, 0.00003, 0.00199, 0.00512, 0.00875, 0.01124, 0.01628, 0.02097, 0.02463, 0.02463, 0.02463, 0.02463, 0.02463, 0.02463, 0.02463, 0.02097, 0.01628, 0.01124, + 0.00620, 10.33592, 0.00017, 0.00038, 0.00051, 0.00056, 0.00051, 0.00038, 0.00017, 0.00151, 0.00620, 0.00845, 0.01715, 0.01852, 0.01852, 0.01852, 0.01852, 0.01852, 0.01753, 0.00845, 0.00002, 0.00054, 0.00088, 0.00101, 0.00089, 0.00054, 0.00004, 0.00267, 0.00584, 0.00585, 0.00585, 0.00585, 0.00584, 0.00267, 0.00045, 0.00057, 0.00058, 0.00057, 0.00045, 0.01647, 0.01644, + 0.01849, 0.01933, 0.01849, 0.01644, 0.01439, 0.01354, 0.01439, 0.01633, 0.01856, 0.02053, 0.02180, 0.02227, 0.02184, 0.02053, 0.01865, 0.01633, 0.01410, 0.01213, 0.01086, 0.01039, 0.01082, 0.01213, 0.01401, 0.01611, 0.01899, 0.02158, 0.02364, 0.02496, 0.02542, 0.02496, 0.02364, 0.02158, 0.01899, 0.01611, 0.01324, 0.01065, 0.00859, 0.00727, 0.00681, 0.00727, 0.00859, + 0.01065, 0.01324, 0.01569, 0.01910, 0.02228, 0.02501, 0.02710, 0.02842, 0.02886, 0.02842, 0.02710, 0.02501, 0.02228, 0.01910, 0.01569, 0.01229, 0.00911, 0.00638, 0.00429, 0.00297, 0.00253, 0.00297, 0.00429, 0.00638, 0.00911, 0.01229, 0.01487, 0.01946, 0.02373, 0.02740, 0.03022, 0.03199, 0.03259, 0.03199, 0.03022, 0.02740, 0.02373, 0.01946, 0.01487, 0.01028, 0.00601, + 0.00234, 0.00003, 0.00015, 0.00019, 0.00015, 0.00003, 0.00234, 0.00601, 0.01028, 0.01320, 0.01912, 0.02463, 0.02896, 0.02917, 0.02930, 0.02935, 0.02930, 0.02917, 0.02896, 0.02463, 0.01912, 0.01320, 0.00728, 0.00177, 10.33462, 0.00045, 0.00060, 0.00066, 0.00060, 0.00045, 0.00020, 0.00177, 0.00728, 0.00993, 0.02015, 0.02208, 0.02208, 0.02208, 0.02208, 0.02208, 0.02059, + 0.00993, 0.00002, 0.00064, 0.00103, 0.00118, 0.00104, 0.00064, 0.00005, 0.00313, 0.00697, 0.00697, 0.00697, 0.00697, 0.00697, 0.00313, 0.00053, 0.00067, 0.00068, 0.00067, 0.00053, 0.01647, 0.01643, 0.01848, 0.01933, 0.01848, 0.01643, 0.01438, 0.01354, 0.01438, 0.01633, 0.01855, 0.02053, 0.02180, 0.02227, 0.02184, 0.02053, 0.01865, 0.01633, 0.01410, 0.01213, 0.01086, + 0.01039, 0.01082, 0.01213, 0.01401, 0.01611, 0.01899, 0.02158, 0.02364, 0.02496, 0.02541, 0.02496, 0.02364, 0.02158, 0.01899, 0.01611, 0.01324, 0.01064, 0.00859, 0.00726, 0.00681, 0.00726, 0.00859, 0.01064, 0.01324, 0.01569, 0.01910, 0.02228, 0.02500, 0.02710, 0.02841, 0.02886, 0.02841, 0.02710, 0.02500, 0.02228, 0.01910, 0.01569, 0.01228, 0.00911, 0.00638, 0.00429, + 0.00297, 0.00252, 0.00297, 0.00429, 0.00638, 0.00911, 0.01228, 0.01487, 0.01945, 0.02373, 0.02740, 0.03021, 0.03198, 0.03259, 0.03198, 0.03021, 0.02740, 0.02373, 0.01945, 0.01487, 0.01028, 0.00601, 0.00234, 0.00003, 0.00015, 0.00019, 0.00015, 0.00003, 0.00234, 0.00601, 0.01028, 0.01320, 0.01912, 0.02463, 0.02917, 0.03118, 0.03245, 0.03288, 0.03245, 0.03118, 0.02917, + 0.02463, 0.01912, 0.01320, 0.00728, 0.00177, 0.00020, 10.33485, 0.00058, 0.00064, 0.00058, 0.00043, 0.00020, 0.00177, 0.00728, 0.00993, 0.02015, 0.02477, 0.02477, 0.02477, 0.02477, 0.02477, 0.02059, 0.00993, 0.00002, 0.00062, 0.00100, 0.00114, 0.00101, 0.00062, 0.00005, 0.00313, 0.00782, 0.00782, 0.00782, 0.00782, 0.00782, 0.00313, 0.00051, 0.00066, 0.00067, 0.00066, + 0.00051, 0.01646, 0.01643, 0.01848, 0.01933, 0.01848, 0.01643, 0.01438, 0.01353, 0.01438, 0.01633, 0.01855, 0.02053, 0.02180, 0.02227, 0.02184, 0.02053, 0.01865, 0.01633, 0.01410, 0.01212, 0.01086, 0.01038, 0.01082, 0.01212, 0.01400, 0.01611, 0.01898, 0.02158, 0.02363, 0.02496, 0.02541, 0.02496, 0.02363, 0.02158, 0.01898, 0.01611, 0.01324, 0.01064, 0.00859, 0.00726, + 0.00681, 0.00726, 0.00859, 0.01064, 0.01324, 0.01569, 0.01910, 0.02227, 0.02500, 0.02709, 0.02841, 0.02886, 0.02841, 0.02709, 0.02500, 0.02227, 0.01910, 0.01569, 0.01228, 0.00911, 0.00638, 0.00429, 0.00297, 0.00252, 0.00297, 0.00429, 0.00638, 0.00911, 0.01228, 0.01487, 0.01945, 0.02373, 0.02739, 0.03021, 0.03198, 0.03258, 0.03198, 0.03021, 0.02739, 0.02373, 0.01945, + 0.01487, 0.01028, 0.00601, 0.00234, 0.00003, 0.00014, 0.00018, 0.00014, 0.00003, 0.00234, 0.00601, 0.01028, 0.01320, 0.01911, 0.02463, 0.02930, 0.03245, 0.03442, 0.03510, 0.03442, 0.03245, 0.02930, 0.02463, 0.01911, 0.01320, 0.00728, 0.00177, 0.00019, 0.00043, 10.33499, 0.00062, 0.00057, 0.00043, 0.00019, 0.00177, 0.00728, 0.00993, 0.02014, 0.02647, 0.02646, 0.02646, + 0.02646, 0.02647, 0.02058, 0.00993, 0.00002, 0.00060, 0.00098, 0.00112, 0.00099, 0.00060, 0.00005, 0.00313, 0.00835, 0.00835, 0.00835, 0.00835, 0.00835, 0.00313, 0.00050, 0.00065, 0.00066, 0.00065, 0.00050, 0.01646, 0.01643, 0.01848, 0.01933, 0.01848, 0.01643, 0.01438, 0.01353, 0.01438, 0.01633, 0.01855, 0.02053, 0.02180, 0.02227, 0.02184, 0.02053, 0.01865, 0.01633, + 0.01410, 0.01212, 0.01086, 0.01038, 0.01082, 0.01212, 0.01400, 0.01611, 0.01898, 0.02158, 0.02363, 0.02495, 0.02541, 0.02495, 0.02363, 0.02158, 0.01898, 0.01611, 0.01324, 0.01064, 0.00858, 0.00726, 0.00681, 0.00726, 0.00858, 0.01064, 0.01324, 0.01569, 0.01910, 0.02227, 0.02500, 0.02709, 0.02841, 0.02886, 0.02841, 0.02709, 0.02500, 0.02227, 0.01910, 0.01569, 0.01228, + 0.00911, 0.00638, 0.00429, 0.00297, 0.00252, 0.00297, 0.00429, 0.00638, 0.00911, 0.01228, 0.01487, 0.01945, 0.02372, 0.02739, 0.03021, 0.03198, 0.03258, 0.03198, 0.03021, 0.02739, 0.02372, 0.01945, 0.01487, 0.01028, 0.00601, 0.00234, 0.00003, 0.00014, 0.00018, 0.00014, 0.00003, 0.00234, 0.00601, 0.01028, 0.01320, 0.01911, 0.02463, 0.02935, 0.03288, 0.03510, 0.03585, + 0.03510, 0.03288, 0.02935, 0.02463, 0.01911, 0.01320, 0.00728, 0.00177, 0.00019, 0.00042, 0.00057, 10.33503, 0.00057, 0.00042, 0.00019, 0.00177, 0.00728, 0.00993, 0.02014, 0.02704, 0.02704, 0.02704, 0.02704, 0.02704, 0.02058, 0.00993, 0.00002, 0.00060, 0.00097, 0.00111, 0.00098, 0.00060, 0.00005, 0.00313, 0.00853, 0.00853, 0.00853, 0.00853, 0.00853, 0.00313, 0.00050, + 0.00065, 0.00066, 0.00065, 0.00050, 0.01646, 0.01643, 0.01848, 0.01933, 0.01848, 0.01643, 0.01438, 0.01353, 0.01438, 0.01633, 0.01855, 0.02053, 0.02180, 0.02227, 0.02184, 0.02053, 0.01865, 0.01633, 0.01410, 0.01212, 0.01086, 0.01038, 0.01082, 0.01212, 0.01400, 0.01611, 0.01898, 0.02158, 0.02363, 0.02496, 0.02541, 0.02496, 0.02363, 0.02158, 0.01898, 0.01611, 0.01324, + 0.01064, 0.00859, 0.00726, 0.00681, 0.00726, 0.00859, 0.01064, 0.01324, 0.01569, 0.01910, 0.02227, 0.02500, 0.02709, 0.02841, 0.02886, 0.02841, 0.02709, 0.02500, 0.02227, 0.01910, 0.01569, 0.01228, 0.00911, 0.00638, 0.00429, 0.00297, 0.00252, 0.00297, 0.00429, 0.00638, 0.00911, 0.01228, 0.01487, 0.01945, 0.02373, 0.02739, 0.03021, 0.03198, 0.03258, 0.03198, 0.03021, + 0.02739, 0.02373, 0.01945, 0.01487, 0.01028, 0.00601, 0.00234, 0.00003, 0.00014, 0.00018, 0.00014, 0.00003, 0.00234, 0.00601, 0.01028, 0.01320, 0.01911, 0.02463, 0.02930, 0.03245, 0.03442, 0.03510, 0.03442, 0.03245, 0.02930, 0.02463, 0.01911, 0.01320, 0.00728, 0.00177, 0.00019, 0.00043, 0.00057, 0.00062, 10.33499, 0.00043, 0.00019, 0.00177, 0.00728, 0.00993, 0.02014, + 0.02647, 0.02646, 0.02646, 0.02646, 0.02647, 0.02058, 0.00993, 0.00002, 0.00060, 0.00098, 0.00112, 0.00099, 0.00060, 0.00005, 0.00313, 0.00835, 0.00835, 0.00835, 0.00835, 0.00835, 0.00313, 0.00050, 0.00065, 0.00066, 0.00065, 0.00050, 0.01647, 0.01643, 0.01848, 0.01933, 0.01848, 0.01643, 0.01438, 0.01354, 0.01438, 0.01633, 0.01855, 0.02053, 0.02180, 0.02227, 0.02184, + 0.02053, 0.01865, 0.01633, 0.01410, 0.01213, 0.01086, 0.01039, 0.01082, 0.01213, 0.01401, 0.01611, 0.01899, 0.02158, 0.02364, 0.02496, 0.02541, 0.02496, 0.02364, 0.02158, 0.01899, 0.01611, 0.01324, 0.01064, 0.00859, 0.00726, 0.00681, 0.00726, 0.00859, 0.01064, 0.01324, 0.01569, 0.01910, 0.02228, 0.02500, 0.02710, 0.02841, 0.02886, 0.02841, 0.02710, 0.02500, 0.02228, + 0.01910, 0.01569, 0.01228, 0.00911, 0.00638, 0.00429, 0.00297, 0.00252, 0.00297, 0.00429, 0.00638, 0.00911, 0.01228, 0.01487, 0.01945, 0.02373, 0.02740, 0.03021, 0.03198, 0.03259, 0.03198, 0.03021, 0.02740, 0.02373, 0.01945, 0.01487, 0.01028, 0.00601, 0.00234, 0.00003, 0.00015, 0.00019, 0.00015, 0.00003, 0.00234, 0.00601, 0.01028, 0.01320, 0.01912, 0.02463, 0.02917, + 0.03118, 0.03245, 0.03288, 0.03245, 0.03118, 0.02917, 0.02463, 0.01912, 0.01320, 0.00728, 0.00177, 0.00020, 0.00043, 0.00058, 0.00064, 0.00058, 10.33485, 0.00020, 0.00177, 0.00728, 0.00993, 0.02015, 0.02477, 0.02477, 0.02477, 0.02477, 0.02477, 0.02059, 0.00993, 0.00002, 0.00062, 0.00100, 0.00114, 0.00101, 0.00062, 0.00005, 0.00313, 0.00782, 0.00782, 0.00782, 0.00782, + 0.00782, 0.00313, 0.00051, 0.00066, 0.00067, 0.00066, 0.00051, 0.01647, 0.01644, 0.01849, 0.01933, 0.01849, 0.01644, 0.01439, 0.01354, 0.01439, 0.01633, 0.01856, 0.02053, 0.02180, 0.02227, 0.02184, 0.02053, 0.01865, 0.01633, 0.01410, 0.01213, 0.01086, 0.01039, 0.01082, 0.01213, 0.01401, 0.01611, 0.01899, 0.02158, 0.02364, 0.02496, 0.02542, 0.02496, 0.02364, 0.02158, + 0.01899, 0.01611, 0.01324, 0.01065, 0.00859, 0.00727, 0.00681, 0.00727, 0.00859, 0.01065, 0.01324, 0.01569, 0.01910, 0.02228, 0.02501, 0.02710, 0.02842, 0.02886, 0.02842, 0.02710, 0.02501, 0.02228, 0.01910, 0.01569, 0.01229, 0.00911, 0.00638, 0.00429, 0.00297, 0.00253, 0.00297, 0.00429, 0.00638, 0.00911, 0.01229, 0.01487, 0.01946, 0.02373, 0.02740, 0.03022, 0.03199, + 0.03259, 0.03199, 0.03022, 0.02740, 0.02373, 0.01946, 0.01487, 0.01028, 0.00601, 0.00234, 0.00003, 0.00015, 0.00019, 0.00015, 0.00003, 0.00234, 0.00601, 0.01028, 0.01320, 0.01912, 0.02463, 0.02896, 0.02917, 0.02930, 0.02935, 0.02930, 0.02917, 0.02896, 0.02463, 0.01912, 0.01320, 0.00728, 0.00177, 0.00020, 0.00045, 0.00060, 0.00066, 0.00060, 0.00045, 10.33462, 0.00177, + 0.00728, 0.00993, 0.02015, 0.02208, 0.02208, 0.02208, 0.02208, 0.02208, 0.02059, 0.00993, 0.00002, 0.00064, 0.00103, 0.00118, 0.00104, 0.00064, 0.00005, 0.00313, 0.00697, 0.00697, 0.00697, 0.00697, 0.00697, 0.00313, 0.00053, 0.00067, 0.00068, 0.00067, 0.00053, 0.01402, 0.01399, 0.01574, 0.01646, 0.01574, 0.01399, 0.01225, 0.01152, 0.01225, 0.01390, 0.01580, 0.01748, + 0.01856, 0.01896, 0.01859, 0.01748, 0.01588, 0.01390, 0.01201, 0.01032, 0.00924, 0.00884, 0.00921, 0.01032, 0.01192, 0.01372, 0.01616, 0.01837, 0.02012, 0.02125, 0.02164, 0.02125, 0.02012, 0.01837, 0.01616, 0.01372, 0.01127, 0.00906, 0.00731, 0.00619, 0.00580, 0.00619, 0.00731, 0.00906, 0.01127, 0.01336, 0.01626, 0.01897, 0.02129, 0.02307, 0.02419, 0.02457, 0.02419, + 0.02307, 0.02129, 0.01897, 0.01626, 0.01336, 0.01046, 0.00776, 0.00543, 0.00365, 0.00253, 0.00215, 0.00253, 0.00365, 0.00543, 0.00776, 0.01046, 0.01266, 0.01656, 0.02020, 0.02333, 0.02572, 0.02723, 0.02774, 0.02723, 0.02572, 0.02333, 0.02020, 0.01656, 0.01266, 0.00875, 0.00512, 0.00199, 0.00003, 0.00013, 0.00017, 0.00013, 0.00003, 0.00199, 0.00512, 0.00875, 0.01124, + 0.01628, 0.02097, 0.02463, 0.02463, 0.02463, 0.02463, 0.02463, 0.02463, 0.02463, 0.02097, 0.01628, 0.01124, 0.00620, 0.00151, 0.00017, 0.00038, 0.00051, 0.00056, 0.00051, 0.00038, 0.00017, 10.33592, 0.00620, 0.00845, 0.01715, 0.01852, 0.01852, 0.01852, 0.01852, 0.01852, 0.01753, 0.00845, 0.00002, 0.00054, 0.00088, 0.00101, 0.00089, 0.00054, 0.00004, 0.00267, 0.00584, + 0.00585, 0.00585, 0.00585, 0.00584, 0.00267, 0.00045, 0.00057, 0.00058, 0.00057, 0.00045, 0.01088, 0.01086, 0.01221, 0.01277, 0.01221, 0.01086, 0.00951, 0.00894, 0.00951, 0.01079, 0.01226, 0.01357, 0.01440, 0.01472, 0.01443, 0.01357, 0.01232, 0.01079, 0.00932, 0.00801, 0.00717, 0.00686, 0.00715, 0.00801, 0.00926, 0.01065, 0.01255, 0.01426, 0.01562, 0.01649, 0.01679, + 0.01649, 0.01562, 0.01426, 0.01255, 0.01065, 0.00875, 0.00703, 0.00567, 0.00480, 0.00450, 0.00480, 0.00567, 0.00703, 0.00875, 0.01037, 0.01262, 0.01472, 0.01652, 0.01791, 0.01877, 0.01907, 0.01877, 0.01791, 0.01652, 0.01472, 0.01262, 0.01037, 0.00812, 0.00602, 0.00422, 0.00283, 0.00197, 0.00167, 0.00197, 0.00283, 0.00422, 0.00602, 0.00812, 0.00982, 0.01286, 0.01568, + 0.01810, 0.01997, 0.02113, 0.02153, 0.02113, 0.01997, 0.01810, 0.01568, 0.01286, 0.00982, 0.00679, 0.00397, 0.00155, 0.00002, 0.00010, 0.00013, 0.00010, 0.00002, 0.00155, 0.00397, 0.00679, 0.00872, 0.01263, 0.01628, 0.01912, 0.01912, 0.01911, 0.01911, 0.01911, 0.01912, 0.01912, 0.01628, 0.01263, 0.00872, 0.00481, 0.00117, 0.00013, 0.00030, 0.00040, 0.00043, 0.00040, + 0.00030, 0.00013, 0.00117, 10.33923, 0.00656, 0.01331, 0.01438, 0.01438, 0.01438, 0.01438, 0.01438, 0.01360, 0.00656, 0.00001, 0.00042, 0.00068, 0.00078, 0.00069, 0.00042, 0.00003, 0.00207, 0.00454, 0.00454, 0.00454, 0.00454, 0.00454, 0.00207, 0.00035, 0.00045, 0.00045, 0.00045, 0.00035, 0.00564, 0.00563, 0.00633, 0.00662, 0.00633, 0.00563, 0.00493, 0.00464, 0.00493, + 0.00559, 0.00636, 0.00703, 0.00747, 0.00763, 0.00748, 0.00703, 0.00639, 0.00559, 0.00483, 0.00415, 0.00372, 0.00356, 0.00371, 0.00415, 0.00480, 0.00552, 0.00651, 0.00739, 0.00810, 0.00855, 0.00871, 0.00855, 0.00810, 0.00739, 0.00651, 0.00552, 0.00454, 0.00365, 0.00294, 0.00249, 0.00233, 0.00249, 0.00294, 0.00365, 0.00454, 0.00538, 0.00655, 0.00764, 0.00857, 0.00929, + 0.00974, 0.00989, 0.00974, 0.00929, 0.00857, 0.00764, 0.00655, 0.00538, 0.00421, 0.00312, 0.00219, 0.00147, 0.00102, 0.00087, 0.00102, 0.00147, 0.00219, 0.00312, 0.00421, 0.00510, 0.00667, 0.00814, 0.00940, 0.01036, 0.01097, 0.01118, 0.01097, 0.01036, 0.00940, 0.00814, 0.00667, 0.00510, 0.00353, 0.00206, 0.00080, 0.00001, 0.00005, 0.00007, 0.00005, 0.00001, 0.00080, + 0.00206, 0.00353, 0.00453, 0.00656, 0.00845, 0.00993, 0.00993, 0.00993, 0.00993, 0.00993, 0.00993, 0.00993, 0.00845, 0.00656, 0.00453, 0.00250, 0.00061, 0.00007, 0.00015, 0.00021, 0.00023, 0.00021, 0.00015, 0.00007, 0.00061, 0.00250, 15.02190, 0.00692, 0.00747, 0.00747, 0.00747, 0.00747, 0.00747, 0.00707, 0.00341, 0.00001, 0.00022, 0.00036, 0.00041, 0.00036, 0.00022, + 0.00002, 0.00108, 0.00237, 0.00237, 0.00237, 0.00237, 0.00237, 0.00108, 0.00018, 0.00023, 0.00024, 0.00023, 0.00018, 0.00001, 0.00001, 0.00001, 0.00001, 0.00001, 0.00001, 0.00001, 0.00001, 0.00001, 0.00001, 0.00001, 0.00001, 0.00001, 0.00002, 0.00001, 0.00001, 0.00001, 0.00001, 0.00001, 0.00001, 0.00001, 0.00001, 0.00001, 0.00001, 0.00001, 0.00001, 0.00001, 0.00001, + 0.00002, 0.00002, 0.00002, 0.00002, 0.00002, 0.00001, 0.00001, 0.00001, 0.00001, 0.00001, 0.00001, 0.00000, 0.00000, 0.00000, 0.00001, 0.00001, 0.00001, 0.00001, 0.00001, 0.00002, 0.00002, 0.00002, 0.00002, 0.00002, 0.00002, 0.00002, 0.00002, 0.00002, 0.00001, 0.00001, 0.00001, 0.00001, 0.00000, 0.00000, 0.00000, 0.00000, 0.00000, 0.00000, 0.00000, 0.00001, 0.00001, + 0.00001, 0.00001, 0.00002, 0.00002, 0.00002, 0.00002, 0.00002, 0.00002, 0.00002, 0.00002, 0.00002, 0.00001, 0.00001, 0.00001, 0.00000, 0.00000, 0.00000, 0.00002, 0.00003, 0.00002, 0.00000, 0.00000, 0.00000, 0.00001, 0.00001, 0.00001, 0.00002, 0.00002, 0.00002, 0.00002, 0.00002, 0.00002, 0.00002, 0.00002, 0.00002, 0.00001, 0.00001, 0.00000, 0.00000, 0.00003, 0.00007, + 0.00009, 0.00010, 0.00009, 0.00007, 0.00003, 0.00000, 0.00000, 0.00001, 15.01850, 0.00001, 0.00001, 0.00001, 0.00001, 0.00001, 0.00001, 0.00001, 0.00000, 0.00009, 0.00015, 0.00017, 0.00015, 0.00009, 0.00001, 0.00000, 0.00000, 0.00000, 0.00000, 0.00000, 0.00000, 0.00000, 0.00007, 0.00007, 0.00007, 0.00007, 0.00007, 0.00036, 0.00036, 0.00041, 0.00042, 0.00041, 0.00036, + 0.00032, 0.00030, 0.00032, 0.00036, 0.00041, 0.00045, 0.00048, 0.00049, 0.00048, 0.00045, 0.00041, 0.00036, 0.00031, 0.00027, 0.00024, 0.00023, 0.00024, 0.00027, 0.00031, 0.00035, 0.00042, 0.00047, 0.00052, 0.00055, 0.00056, 0.00055, 0.00052, 0.00047, 0.00042, 0.00035, 0.00029, 0.00023, 0.00019, 0.00016, 0.00015, 0.00016, 0.00019, 0.00023, 0.00029, 0.00035, 0.00042, + 0.00049, 0.00055, 0.00060, 0.00062, 0.00063, 0.00062, 0.00060, 0.00055, 0.00049, 0.00042, 0.00035, 0.00027, 0.00020, 0.00014, 0.00009, 0.00007, 0.00006, 0.00007, 0.00009, 0.00014, 0.00020, 0.00027, 0.00033, 0.00043, 0.00052, 0.00060, 0.00066, 0.00070, 0.00072, 0.00070, 0.00066, 0.00060, 0.00052, 0.00043, 0.00033, 0.00023, 0.00013, 0.00005, 0.00015, 0.00072, 0.00091, + 0.00072, 0.00015, 0.00005, 0.00013, 0.00023, 0.00029, 0.00042, 0.00054, 0.00064, 0.00062, 0.00060, 0.00060, 0.00060, 0.00062, 0.00064, 0.00054, 0.00042, 0.00029, 0.00016, 0.00004, 0.00095, 0.00212, 0.00285, 0.00310, 0.00285, 0.00212, 0.00095, 0.00004, 0.00016, 0.00022, 0.00044, 15.01894, 0.00044, 0.00044, 0.00044, 0.00045, 0.00045, 0.00022, 0.00009, 0.00300, 0.00487, + 0.00557, 0.00493, 0.00300, 0.00023, 0.00007, 0.00014, 0.00014, 0.00014, 0.00014, 0.00014, 0.00007, 0.00221, 0.00222, 0.00222, 0.00222, 0.00221, 0.00059, 0.00059, 0.00066, 0.00069, 0.00066, 0.00059, 0.00051, 0.00048, 0.00051, 0.00058, 0.00066, 0.00073, 0.00078, 0.00079, 0.00078, 0.00073, 0.00066, 0.00058, 0.00050, 0.00043, 0.00039, 0.00037, 0.00039, 0.00043, 0.00050, + 0.00057, 0.00068, 0.00077, 0.00084, 0.00089, 0.00091, 0.00089, 0.00084, 0.00077, 0.00068, 0.00057, 0.00047, 0.00038, 0.00031, 0.00026, 0.00024, 0.00026, 0.00031, 0.00038, 0.00047, 0.00056, 0.00068, 0.00079, 0.00089, 0.00097, 0.00101, 0.00103, 0.00101, 0.00097, 0.00089, 0.00079, 0.00068, 0.00056, 0.00044, 0.00032, 0.00023, 0.00015, 0.00011, 0.00009, 0.00011, 0.00015, + 0.00023, 0.00032, 0.00044, 0.00053, 0.00069, 0.00085, 0.00098, 0.00108, 0.00114, 0.00116, 0.00114, 0.00108, 0.00098, 0.00085, 0.00069, 0.00053, 0.00037, 0.00021, 0.00008, 0.00025, 0.00117, 0.00148, 0.00117, 0.00025, 0.00008, 0.00021, 0.00037, 0.00047, 0.00068, 0.00088, 0.00103, 0.00100, 0.00098, 0.00097, 0.00098, 0.00100, 0.00103, 0.00088, 0.00068, 0.00047, 0.00026, + 0.00006, 0.00154, 0.00343, 0.00462, 0.00503, 0.00462, 0.00343, 0.00154, 0.00006, 0.00026, 0.00036, 0.00072, 0.00073, 15.01920, 0.00071, 0.00071, 0.00073, 0.00074, 0.00036, 0.00015, 0.00487, 0.00790, 0.00903, 0.00800, 0.00487, 0.00038, 0.00011, 0.00023, 0.00023, 0.00023, 0.00023, 0.00023, 0.00011, 0.00359, 0.00359, 0.00360, 0.00359, 0.00359, 0.00067, 0.00067, 0.00075, + 0.00079, 0.00075, 0.00067, 0.00059, 0.00055, 0.00059, 0.00066, 0.00076, 0.00084, 0.00089, 0.00091, 0.00089, 0.00084, 0.00076, 0.00066, 0.00057, 0.00049, 0.00044, 0.00042, 0.00044, 0.00049, 0.00057, 0.00066, 0.00077, 0.00088, 0.00096, 0.00102, 0.00104, 0.00102, 0.00096, 0.00088, 0.00077, 0.00066, 0.00054, 0.00043, 0.00035, 0.00030, 0.00028, 0.00030, 0.00035, 0.00043, + 0.00054, 0.00064, 0.00078, 0.00091, 0.00102, 0.00110, 0.00116, 0.00118, 0.00116, 0.00110, 0.00102, 0.00091, 0.00078, 0.00064, 0.00050, 0.00037, 0.00026, 0.00017, 0.00012, 0.00010, 0.00012, 0.00017, 0.00026, 0.00037, 0.00050, 0.00061, 0.00079, 0.00097, 0.00112, 0.00123, 0.00130, 0.00133, 0.00130, 0.00123, 0.00112, 0.00097, 0.00079, 0.00061, 0.00042, 0.00025, 0.00010, + 0.00028, 0.00134, 0.00169, 0.00134, 0.00028, 0.00010, 0.00025, 0.00042, 0.00054, 0.00078, 0.00101, 0.00118, 0.00114, 0.00112, 0.00111, 0.00112, 0.00114, 0.00118, 0.00101, 0.00078, 0.00054, 0.00030, 0.00007, 0.00176, 0.00392, 0.00528, 0.00574, 0.00528, 0.00392, 0.00176, 0.00007, 0.00030, 0.00041, 0.00082, 0.00083, 0.00082, 15.01930, 0.00082, 0.00083, 0.00084, 0.00041, + 0.00017, 0.00557, 0.00903, 0.01032, 0.00914, 0.00557, 0.00043, 0.00013, 0.00026, 0.00026, 0.00026, 0.00026, 0.00026, 0.00013, 0.00410, 0.00411, 0.00411, 0.00411, 0.00410, 0.00059, 0.00059, 0.00067, 0.00070, 0.00067, 0.00059, 0.00052, 0.00049, 0.00052, 0.00059, 0.00067, 0.00074, 0.00079, 0.00080, 0.00079, 0.00074, 0.00067, 0.00059, 0.00051, 0.00044, 0.00039, 0.00037, + 0.00039, 0.00044, 0.00050, 0.00058, 0.00068, 0.00078, 0.00085, 0.00090, 0.00092, 0.00090, 0.00085, 0.00078, 0.00068, 0.00058, 0.00048, 0.00038, 0.00031, 0.00026, 0.00025, 0.00026, 0.00031, 0.00038, 0.00048, 0.00057, 0.00069, 0.00080, 0.00090, 0.00098, 0.00103, 0.00104, 0.00103, 0.00098, 0.00090, 0.00080, 0.00069, 0.00057, 0.00044, 0.00033, 0.00023, 0.00015, 0.00011, + 0.00009, 0.00011, 0.00015, 0.00023, 0.00033, 0.00044, 0.00054, 0.00070, 0.00086, 0.00099, 0.00109, 0.00116, 0.00118, 0.00116, 0.00109, 0.00099, 0.00086, 0.00070, 0.00054, 0.00037, 0.00022, 0.00008, 0.00025, 0.00118, 0.00150, 0.00118, 0.00025, 0.00008, 0.00022, 0.00037, 0.00048, 0.00069, 0.00089, 0.00104, 0.00101, 0.00099, 0.00098, 0.00099, 0.00101, 0.00104, 0.00089, + 0.00069, 0.00048, 0.00026, 0.00006, 0.00156, 0.00347, 0.00468, 0.00509, 0.00468, 0.00347, 0.00156, 0.00006, 0.00026, 0.00036, 0.00073, 0.00074, 0.00072, 0.00072, 15.01921, 0.00074, 0.00075, 0.00036, 0.00015, 0.00493, 0.00800, 0.00914, 0.00809, 0.00493, 0.00038, 0.00011, 0.00023, 0.00023, 0.00023, 0.00023, 0.00023, 0.00011, 0.00363, 0.00364, 0.00364, 0.00364, 0.00363, + 0.00036, 0.00036, 0.00041, 0.00042, 0.00041, 0.00036, 0.00032, 0.00030, 0.00032, 0.00036, 0.00041, 0.00045, 0.00048, 0.00049, 0.00048, 0.00045, 0.00041, 0.00036, 0.00031, 0.00027, 0.00024, 0.00023, 0.00024, 0.00027, 0.00031, 0.00035, 0.00042, 0.00047, 0.00052, 0.00055, 0.00056, 0.00055, 0.00052, 0.00047, 0.00042, 0.00035, 0.00029, 0.00023, 0.00019, 0.00016, 0.00015, + 0.00016, 0.00019, 0.00023, 0.00029, 0.00035, 0.00042, 0.00049, 0.00055, 0.00060, 0.00062, 0.00063, 0.00062, 0.00060, 0.00055, 0.00049, 0.00042, 0.00035, 0.00027, 0.00020, 0.00014, 0.00009, 0.00007, 0.00006, 0.00007, 0.00009, 0.00014, 0.00020, 0.00027, 0.00033, 0.00043, 0.00052, 0.00060, 0.00066, 0.00070, 0.00072, 0.00070, 0.00066, 0.00060, 0.00052, 0.00043, 0.00033, + 0.00023, 0.00013, 0.00005, 0.00015, 0.00072, 0.00091, 0.00072, 0.00015, 0.00005, 0.00013, 0.00023, 0.00029, 0.00042, 0.00054, 0.00064, 0.00062, 0.00060, 0.00060, 0.00060, 0.00062, 0.00064, 0.00054, 0.00042, 0.00029, 0.00016, 0.00004, 0.00095, 0.00212, 0.00285, 0.00310, 0.00285, 0.00212, 0.00095, 0.00004, 0.00016, 0.00022, 0.00044, 0.00045, 0.00044, 0.00044, 0.00044, + 15.01894, 0.00045, 0.00022, 0.00009, 0.00300, 0.00487, 0.00557, 0.00493, 0.00300, 0.00023, 0.00007, 0.00014, 0.00014, 0.00014, 0.00014, 0.00014, 0.00007, 0.00221, 0.00222, 0.00222, 0.00222, 0.00221, 0.00003, 0.00003, 0.00003, 0.00003, 0.00003, 0.00003, 0.00002, 0.00002, 0.00002, 0.00003, 0.00003, 0.00004, 0.00004, 0.00004, 0.00004, 0.00004, 0.00003, 0.00003, 0.00002, + 0.00002, 0.00002, 0.00002, 0.00002, 0.00002, 0.00002, 0.00003, 0.00003, 0.00004, 0.00004, 0.00004, 0.00004, 0.00004, 0.00004, 0.00004, 0.00003, 0.00003, 0.00002, 0.00002, 0.00001, 0.00001, 0.00001, 0.00001, 0.00001, 0.00002, 0.00002, 0.00003, 0.00003, 0.00004, 0.00004, 0.00005, 0.00005, 0.00005, 0.00005, 0.00005, 0.00004, 0.00004, 0.00003, 0.00003, 0.00002, 0.00002, + 0.00001, 0.00001, 0.00001, 0.00000, 0.00001, 0.00001, 0.00001, 0.00002, 0.00002, 0.00003, 0.00003, 0.00004, 0.00005, 0.00005, 0.00005, 0.00006, 0.00005, 0.00005, 0.00005, 0.00004, 0.00003, 0.00003, 0.00002, 0.00001, 0.00000, 0.00001, 0.00006, 0.00007, 0.00006, 0.00001, 0.00000, 0.00001, 0.00002, 0.00002, 0.00003, 0.00004, 0.00005, 0.00005, 0.00005, 0.00005, 0.00005, + 0.00005, 0.00005, 0.00004, 0.00003, 0.00002, 0.00001, 0.00000, 0.00007, 0.00017, 0.00022, 0.00024, 0.00022, 0.00017, 0.00007, 0.00000, 0.00001, 0.00002, 0.00003, 0.00003, 0.00003, 0.00003, 0.00003, 0.00003, 15.01853, 0.00002, 0.00001, 0.00023, 0.00038, 0.00043, 0.00038, 0.00023, 0.00002, 0.00001, 0.00001, 0.00001, 0.00001, 0.00001, 0.00001, 0.00001, 0.00017, 0.00017, + 0.00017, 0.00017, 0.00017, 0.00564, 0.00563, 0.00633, 0.00662, 0.00633, 0.00563, 0.00493, 0.00464, 0.00493, 0.00559, 0.00636, 0.00703, 0.00747, 0.00763, 0.00748, 0.00703, 0.00639, 0.00559, 0.00483, 0.00415, 0.00372, 0.00356, 0.00371, 0.00415, 0.00480, 0.00552, 0.00651, 0.00739, 0.00810, 0.00855, 0.00871, 0.00855, 0.00810, 0.00739, 0.00651, 0.00552, 0.00454, 0.00365, + 0.00294, 0.00249, 0.00233, 0.00249, 0.00294, 0.00365, 0.00454, 0.00538, 0.00655, 0.00764, 0.00857, 0.00929, 0.00974, 0.00989, 0.00974, 0.00929, 0.00857, 0.00764, 0.00655, 0.00538, 0.00421, 0.00312, 0.00219, 0.00147, 0.00102, 0.00087, 0.00102, 0.00147, 0.00219, 0.00312, 0.00421, 0.00510, 0.00667, 0.00814, 0.00940, 0.01036, 0.01097, 0.01118, 0.01097, 0.01036, 0.00940, + 0.00814, 0.00667, 0.00510, 0.00353, 0.00206, 0.00080, 0.00001, 0.00005, 0.00007, 0.00005, 0.00001, 0.00080, 0.00206, 0.00353, 0.00453, 0.00656, 0.00845, 0.00993, 0.00993, 0.00993, 0.00993, 0.00993, 0.00993, 0.00993, 0.00845, 0.00656, 0.00453, 0.00250, 0.00061, 0.00007, 0.00015, 0.00021, 0.00023, 0.00021, 0.00015, 0.00007, 0.00061, 0.00250, 0.00341, 0.00692, 0.00747, + 0.00747, 0.00747, 0.00747, 0.00747, 0.00707, 15.02190, 0.00001, 0.00022, 0.00036, 0.00041, 0.00036, 0.00022, 0.00002, 0.00108, 0.00237, 0.00237, 0.00237, 0.00237, 0.00237, 0.00108, 0.00018, 0.00023, 0.00024, 0.00023, 0.00018, 0.01144, 0.01142, 0.01285, 0.01344, 0.01285, 0.01142, 0.01000, 0.00941, 0.01000, 0.01135, 0.01290, 0.01427, 0.01515, 0.01548, 0.01518, 0.01427, + 0.01297, 0.01135, 0.00980, 0.00843, 0.00755, 0.00722, 0.00752, 0.00843, 0.00974, 0.01120, 0.01320, 0.01501, 0.01644, 0.01736, 0.01767, 0.01736, 0.01644, 0.01501, 0.01320, 0.01120, 0.00920, 0.00740, 0.00597, 0.00505, 0.00474, 0.00505, 0.00597, 0.00740, 0.00920, 0.01092, 0.01329, 0.01550, 0.01739, 0.01885, 0.01977, 0.02008, 0.01977, 0.01885, 0.01739, 0.01550, 0.01329, + 0.01092, 0.00855, 0.00634, 0.00444, 0.00298, 0.00207, 0.00176, 0.00207, 0.00298, 0.00444, 0.00634, 0.00855, 0.01035, 0.01354, 0.01651, 0.01907, 0.02103, 0.02226, 0.02268, 0.02226, 0.02103, 0.01907, 0.01651, 0.01354, 0.01035, 0.00716, 0.00418, 0.00163, 0.00002, 0.00011, 0.00014, 0.00011, 0.00002, 0.00163, 0.00418, 0.00716, 0.00919, 0.01331, 0.01715, 0.02015, 0.02015, + 0.02014, 0.02014, 0.02014, 0.02015, 0.02015, 0.01715, 0.01331, 0.00919, 0.00507, 0.00123, 0.00014, 0.00031, 0.00042, 0.00046, 0.00042, 0.00031, 0.00014, 0.00123, 0.00507, 0.00692, 0.01404, 0.01516, 0.01516, 0.01516, 0.01516, 0.01516, 0.01435, 0.00692, 15.01850, 0.00044, 0.00072, 0.00082, 0.00073, 0.00044, 0.00003, 0.00219, 0.00480, 0.00480, 0.00480, 0.00480, 0.00480, + 0.00219, 0.00037, 0.00047, 0.00048, 0.00047, 0.00037, 0.01236, 0.01234, 0.01387, 0.01451, 0.01387, 0.01234, 0.01080, 0.01016, 0.01080, 0.01226, 0.01393, 0.01541, 0.01637, 0.01672, 0.01639, 0.01541, 0.01400, 0.01226, 0.01059, 0.00910, 0.00815, 0.00780, 0.00812, 0.00910, 0.01051, 0.01210, 0.01426, 0.01620, 0.01775, 0.01874, 0.01908, 0.01874, 0.01775, 0.01620, 0.01426, + 0.01210, 0.00994, 0.00799, 0.00645, 0.00546, 0.00511, 0.00546, 0.00645, 0.00799, 0.00994, 0.01179, 0.01435, 0.01674, 0.01878, 0.02036, 0.02134, 0.02168, 0.02134, 0.02036, 0.01878, 0.01674, 0.01435, 0.01179, 0.00923, 0.00684, 0.00479, 0.00322, 0.00223, 0.00190, 0.00223, 0.00322, 0.00479, 0.00684, 0.00923, 0.01117, 0.01462, 0.01783, 0.02059, 0.02271, 0.02404, 0.02449, + 0.02404, 0.02271, 0.02059, 0.01783, 0.01462, 0.01117, 0.00773, 0.00452, 0.00176, 0.00002, 0.00011, 0.00014, 0.00011, 0.00002, 0.00176, 0.00452, 0.00773, 0.00993, 0.01438, 0.01852, 0.02208, 0.02477, 0.02647, 0.02704, 0.02647, 0.02477, 0.02208, 0.01852, 0.01438, 0.00993, 0.00548, 0.00133, 0.00014, 0.00032, 0.00042, 0.00046, 0.00042, 0.00032, 0.00014, 0.00133, 0.00548, + 0.00747, 0.01516, 0.02075, 0.02171, 0.02191, 0.02174, 0.02075, 0.01550, 0.00747, 0.00001, 15.01894, 0.00073, 0.00083, 0.00074, 0.00045, 0.00003, 0.00237, 0.00694, 0.00694, 0.00694, 0.00694, 0.00694, 0.00237, 0.00038, 0.00049, 0.00050, 0.00049, 0.00038, 0.01236, 0.01233, 0.01387, 0.01451, 0.01387, 0.01233, 0.01080, 0.01016, 0.01080, 0.01226, 0.01393, 0.01541, 0.01636, + 0.01672, 0.01639, 0.01541, 0.01400, 0.01226, 0.01059, 0.00910, 0.00815, 0.00780, 0.00812, 0.00910, 0.01051, 0.01210, 0.01426, 0.01620, 0.01775, 0.01874, 0.01908, 0.01874, 0.01775, 0.01620, 0.01426, 0.01210, 0.00994, 0.00799, 0.00645, 0.00546, 0.00511, 0.00546, 0.00645, 0.00799, 0.00994, 0.01179, 0.01435, 0.01673, 0.01878, 0.02035, 0.02134, 0.02168, 0.02134, 0.02035, + 0.01878, 0.01673, 0.01435, 0.01179, 0.00923, 0.00684, 0.00479, 0.00322, 0.00223, 0.00190, 0.00223, 0.00322, 0.00479, 0.00684, 0.00923, 0.01117, 0.01462, 0.01783, 0.02059, 0.02271, 0.02404, 0.02449, 0.02404, 0.02271, 0.02059, 0.01783, 0.01462, 0.01117, 0.00773, 0.00452, 0.00176, 0.00002, 0.00011, 0.00013, 0.00011, 0.00002, 0.00176, 0.00452, 0.00773, 0.00993, 0.01438, + 0.01852, 0.02208, 0.02477, 0.02646, 0.02704, 0.02646, 0.02477, 0.02208, 0.01852, 0.01438, 0.00993, 0.00548, 0.00133, 0.00014, 0.00031, 0.00042, 0.00045, 0.00042, 0.00031, 0.00014, 0.00133, 0.00548, 0.00747, 0.01516, 0.02171, 0.02544, 0.02623, 0.02556, 0.02171, 0.01549, 0.00747, 0.00001, 0.00044, 15.01920, 0.00082, 0.00072, 0.00044, 0.00003, 0.00237, 0.00831, 0.00831, + 0.00831, 0.00831, 0.00831, 0.00237, 0.00037, 0.00049, 0.00050, 0.00049, 0.00037, 0.01236, 0.01233, 0.01387, 0.01451, 0.01387, 0.01233, 0.01080, 0.01016, 0.01080, 0.01226, 0.01393, 0.01541, 0.01636, 0.01672, 0.01639, 0.01541, 0.01400, 0.01226, 0.01059, 0.00910, 0.00815, 0.00780, 0.00812, 0.00910, 0.01051, 0.01210, 0.01426, 0.01620, 0.01775, 0.01874, 0.01908, 0.01874, + 0.01775, 0.01620, 0.01426, 0.01210, 0.00994, 0.00799, 0.00645, 0.00546, 0.00511, 0.00546, 0.00645, 0.00799, 0.00994, 0.01179, 0.01435, 0.01673, 0.01878, 0.02035, 0.02134, 0.02168, 0.02134, 0.02035, 0.01878, 0.01673, 0.01435, 0.01179, 0.00923, 0.00684, 0.00479, 0.00322, 0.00223, 0.00190, 0.00223, 0.00322, 0.00479, 0.00684, 0.00923, 0.01117, 0.01462, 0.01783, 0.02059, + 0.02271, 0.02404, 0.02449, 0.02404, 0.02271, 0.02059, 0.01783, 0.01462, 0.01117, 0.00773, 0.00452, 0.00176, 0.00002, 0.00010, 0.00013, 0.00010, 0.00002, 0.00176, 0.00452, 0.00773, 0.00993, 0.01438, 0.01852, 0.02208, 0.02477, 0.02646, 0.02704, 0.02646, 0.02477, 0.02208, 0.01852, 0.01438, 0.00993, 0.00548, 0.00133, 0.00014, 0.00031, 0.00042, 0.00045, 0.00042, 0.00031, + 0.00014, 0.00133, 0.00548, 0.00747, 0.01516, 0.02191, 0.02623, 0.02719, 0.02637, 0.02191, 0.01549, 0.00747, 0.00001, 0.00044, 0.00071, 15.01930, 0.00072, 0.00044, 0.00003, 0.00237, 0.00874, 0.00882, 0.00882, 0.00882, 0.00874, 0.00237, 0.00037, 0.00049, 0.00050, 0.00049, 0.00037, 0.01236, 0.01233, 0.01387, 0.01451, 0.01387, 0.01233, 0.01080, 0.01016, 0.01080, 0.01226, + 0.01393, 0.01541, 0.01636, 0.01672, 0.01639, 0.01541, 0.01400, 0.01226, 0.01059, 0.00910, 0.00815, 0.00780, 0.00812, 0.00910, 0.01051, 0.01210, 0.01426, 0.01620, 0.01775, 0.01874, 0.01908, 0.01874, 0.01775, 0.01620, 0.01426, 0.01210, 0.00994, 0.00799, 0.00645, 0.00546, 0.00511, 0.00546, 0.00645, 0.00799, 0.00994, 0.01179, 0.01435, 0.01673, 0.01878, 0.02035, 0.02134, + 0.02168, 0.02134, 0.02035, 0.01878, 0.01673, 0.01435, 0.01179, 0.00923, 0.00684, 0.00479, 0.00322, 0.00223, 0.00190, 0.00223, 0.00322, 0.00479, 0.00684, 0.00923, 0.01117, 0.01462, 0.01783, 0.02059, 0.02271, 0.02404, 0.02449, 0.02404, 0.02271, 0.02059, 0.01783, 0.01462, 0.01117, 0.00773, 0.00452, 0.00176, 0.00002, 0.00011, 0.00013, 0.00011, 0.00002, 0.00176, 0.00452, + 0.00773, 0.00993, 0.01438, 0.01852, 0.02208, 0.02477, 0.02646, 0.02704, 0.02646, 0.02477, 0.02208, 0.01852, 0.01438, 0.00993, 0.00548, 0.00133, 0.00014, 0.00031, 0.00042, 0.00045, 0.00042, 0.00031, 0.00014, 0.00133, 0.00548, 0.00747, 0.01516, 0.02174, 0.02556, 0.02637, 0.02568, 0.02174, 0.01549, 0.00747, 0.00001, 0.00044, 0.00071, 0.00082, 15.01921, 0.00044, 0.00003, + 0.00237, 0.00835, 0.00835, 0.00835, 0.00835, 0.00835, 0.00237, 0.00037, 0.00049, 0.00050, 0.00049, 0.00037, 0.01236, 0.01234, 0.01387, 0.01451, 0.01387, 0.01234, 0.01080, 0.01016, 0.01080, 0.01226, 0.01393, 0.01541, 0.01637, 0.01672, 0.01639, 0.01541, 0.01400, 0.01226, 0.01059, 0.00910, 0.00815, 0.00780, 0.00812, 0.00910, 0.01051, 0.01210, 0.01426, 0.01620, 0.01775, + 0.01874, 0.01908, 0.01874, 0.01775, 0.01620, 0.01426, 0.01210, 0.00994, 0.00799, 0.00645, 0.00546, 0.00511, 0.00546, 0.00645, 0.00799, 0.00994, 0.01179, 0.01435, 0.01674, 0.01878, 0.02036, 0.02134, 0.02168, 0.02134, 0.02036, 0.01878, 0.01674, 0.01435, 0.01179, 0.00923, 0.00684, 0.00479, 0.00322, 0.00223, 0.00190, 0.00223, 0.00322, 0.00479, 0.00684, 0.00923, 0.01117, + 0.01462, 0.01783, 0.02059, 0.02271, 0.02404, 0.02449, 0.02404, 0.02271, 0.02059, 0.01783, 0.01462, 0.01117, 0.00773, 0.00452, 0.00176, 0.00002, 0.00011, 0.00014, 0.00011, 0.00002, 0.00176, 0.00452, 0.00773, 0.00993, 0.01438, 0.01852, 0.02208, 0.02477, 0.02647, 0.02704, 0.02647, 0.02477, 0.02208, 0.01852, 0.01438, 0.00993, 0.00548, 0.00133, 0.00014, 0.00032, 0.00042, + 0.00046, 0.00042, 0.00032, 0.00014, 0.00133, 0.00548, 0.00747, 0.01516, 0.02075, 0.02171, 0.02191, 0.02174, 0.02075, 0.01550, 0.00747, 0.00001, 0.00045, 0.00073, 0.00083, 0.00074, 15.01894, 0.00003, 0.00237, 0.00694, 0.00694, 0.00694, 0.00694, 0.00694, 0.00237, 0.00038, 0.00049, 0.00050, 0.00049, 0.00038, 0.01169, 0.01167, 0.01313, 0.01373, 0.01313, 0.01167, 0.01022, + 0.00961, 0.01022, 0.01160, 0.01318, 0.01458, 0.01549, 0.01582, 0.01551, 0.01458, 0.01325, 0.01160, 0.01002, 0.00861, 0.00771, 0.00738, 0.00768, 0.00861, 0.00995, 0.01145, 0.01349, 0.01533, 0.01680, 0.01773, 0.01806, 0.01773, 0.01680, 0.01533, 0.01349, 0.01145, 0.00941, 0.00756, 0.00610, 0.00516, 0.00484, 0.00516, 0.00610, 0.00756, 0.00941, 0.01116, 0.01358, 0.01584, + 0.01777, 0.01926, 0.02020, 0.02052, 0.02020, 0.01926, 0.01777, 0.01584, 0.01358, 0.01116, 0.00873, 0.00648, 0.00454, 0.00305, 0.00211, 0.00179, 0.00211, 0.00305, 0.00454, 0.00648, 0.00873, 0.01057, 0.01384, 0.01687, 0.01948, 0.02149, 0.02275, 0.02318, 0.02275, 0.02149, 0.01948, 0.01687, 0.01384, 0.01057, 0.00731, 0.00427, 0.00166, 0.00002, 0.00011, 0.00014, 0.00011, + 0.00002, 0.00166, 0.00427, 0.00731, 0.00939, 0.01360, 0.01753, 0.02059, 0.02059, 0.02058, 0.02058, 0.02058, 0.02059, 0.02059, 0.01753, 0.01360, 0.00939, 0.00518, 0.00126, 0.00014, 0.00032, 0.00043, 0.00047, 0.00043, 0.00032, 0.00014, 0.00126, 0.00518, 0.00707, 0.01435, 0.01550, 0.01549, 0.01549, 0.01549, 0.01550, 0.01466, 0.00707, 0.00001, 0.00045, 0.00074, 0.00084, + 0.00075, 0.00045, 15.01853, 0.00224, 0.00491, 0.00491, 0.00491, 0.00491, 0.00491, 0.00224, 0.00038, 0.00048, 0.00049, 0.00048, 0.00038, 0.00176, 0.00176, 0.00198, 0.00207, 0.00198, 0.00176, 0.00154, 0.00145, 0.00154, 0.00175, 0.00199, 0.00220, 0.00234, 0.00239, 0.00234, 0.00220, 0.00200, 0.00175, 0.00151, 0.00130, 0.00117, 0.00111, 0.00116, 0.00130, 0.00150, 0.00173, + 0.00204, 0.00232, 0.00254, 0.00268, 0.00273, 0.00268, 0.00254, 0.00232, 0.00204, 0.00173, 0.00142, 0.00114, 0.00092, 0.00078, 0.00073, 0.00078, 0.00092, 0.00114, 0.00142, 0.00169, 0.00206, 0.00240, 0.00269, 0.00292, 0.00306, 0.00311, 0.00306, 0.00292, 0.00269, 0.00240, 0.00206, 0.00169, 0.00132, 0.00098, 0.00069, 0.00046, 0.00032, 0.00027, 0.00032, 0.00046, 0.00069, + 0.00098, 0.00132, 0.00160, 0.00210, 0.00256, 0.00296, 0.00326, 0.00345, 0.00352, 0.00345, 0.00326, 0.00296, 0.00256, 0.00210, 0.00160, 0.00111, 0.00065, 0.00025, 0.00000, 0.00002, 0.00002, 0.00002, 0.00000, 0.00025, 0.00065, 0.00111, 0.00143, 0.00207, 0.00267, 0.00313, 0.00313, 0.00313, 0.00313, 0.00313, 0.00313, 0.00313, 0.00267, 0.00207, 0.00143, 0.00079, 0.00019, + 0.00002, 0.00005, 0.00007, 0.00007, 0.00007, 0.00005, 0.00002, 0.00019, 0.00079, 0.00108, 0.00219, 0.00237, 0.00237, 0.00237, 0.00237, 0.00237, 0.00224, 0.00108, 0.00000, 0.00007, 0.00011, 0.00013, 0.00011, 0.00007, 0.00001, 36.97183, 0.00076, 0.00076, 0.00076, 0.00076, 0.00076, 0.00035, 0.00006, 0.00008, 0.00008, 0.00008, 0.00006, 0.00030, 0.00030, 0.00033, 0.00035, + 0.00033, 0.00030, 0.00026, 0.00025, 0.00026, 0.00030, 0.00034, 0.00037, 0.00040, 0.00040, 0.00040, 0.00037, 0.00034, 0.00030, 0.00026, 0.00022, 0.00020, 0.00019, 0.00020, 0.00022, 0.00025, 0.00029, 0.00034, 0.00039, 0.00043, 0.00045, 0.00046, 0.00045, 0.00043, 0.00039, 0.00034, 0.00029, 0.00024, 0.00019, 0.00016, 0.00013, 0.00012, 0.00013, 0.00016, 0.00019, 0.00024, + 0.00029, 0.00035, 0.00041, 0.00045, 0.00049, 0.00052, 0.00053, 0.00052, 0.00049, 0.00045, 0.00041, 0.00035, 0.00029, 0.00022, 0.00017, 0.00012, 0.00008, 0.00005, 0.00005, 0.00005, 0.00008, 0.00012, 0.00017, 0.00022, 0.00027, 0.00035, 0.00043, 0.00050, 0.00055, 0.00058, 0.00059, 0.00058, 0.00055, 0.00050, 0.00043, 0.00035, 0.00027, 0.00019, 0.00011, 0.00004, 0.00011, + 0.00053, 0.00067, 0.00053, 0.00011, 0.00004, 0.00011, 0.00019, 0.00024, 0.00035, 0.00045, 0.00053, 0.00051, 0.00050, 0.00050, 0.00050, 0.00051, 0.00053, 0.00045, 0.00035, 0.00024, 0.00013, 0.00003, 0.00070, 0.00155, 0.00209, 0.00227, 0.00209, 0.00155, 0.00070, 0.00003, 0.00013, 0.00018, 0.00037, 0.00038, 0.00037, 0.00037, 0.00037, 0.00038, 0.00038, 0.00018, 0.00007, + 0.00221, 0.00359, 0.00410, 0.00363, 0.00221, 0.00017, 0.00006, 36.97161, 0.00012, 0.00012, 0.00012, 0.00012, 0.00006, 0.00207, 0.00211, 0.00211, 0.00211, 0.00207, 0.00038, 0.00038, 0.00043, 0.00045, 0.00043, 0.00038, 0.00033, 0.00031, 0.00033, 0.00038, 0.00043, 0.00047, 0.00050, 0.00051, 0.00050, 0.00047, 0.00043, 0.00038, 0.00033, 0.00028, 0.00025, 0.00024, 0.00025, + 0.00028, 0.00032, 0.00037, 0.00044, 0.00050, 0.00055, 0.00058, 0.00059, 0.00058, 0.00055, 0.00050, 0.00044, 0.00037, 0.00031, 0.00025, 0.00020, 0.00017, 0.00016, 0.00017, 0.00020, 0.00025, 0.00031, 0.00036, 0.00044, 0.00052, 0.00058, 0.00063, 0.00066, 0.00067, 0.00066, 0.00063, 0.00058, 0.00052, 0.00044, 0.00036, 0.00028, 0.00021, 0.00015, 0.00010, 0.00007, 0.00006, + 0.00007, 0.00010, 0.00015, 0.00021, 0.00028, 0.00035, 0.00045, 0.00055, 0.00064, 0.00070, 0.00074, 0.00076, 0.00074, 0.00070, 0.00064, 0.00055, 0.00045, 0.00035, 0.00024, 0.00014, 0.00005, 0.00011, 0.00053, 0.00067, 0.00053, 0.00011, 0.00005, 0.00014, 0.00024, 0.00031, 0.00045, 0.00057, 0.00067, 0.00066, 0.00065, 0.00065, 0.00065, 0.00066, 0.00067, 0.00057, 0.00045, + 0.00031, 0.00017, 0.00004, 0.00070, 0.00156, 0.00209, 0.00228, 0.00209, 0.00156, 0.00070, 0.00004, 0.00017, 0.00023, 0.00047, 0.00049, 0.00049, 0.00049, 0.00049, 0.00049, 0.00048, 0.00023, 0.00007, 0.00222, 0.00359, 0.00411, 0.00364, 0.00222, 0.00017, 0.00008, 0.00016, 36.97166, 0.00017, 0.00017, 0.00016, 0.00008, 0.00211, 0.00413, 0.00415, 0.00413, 0.00211, 0.00039, + 0.00039, 0.00043, 0.00045, 0.00043, 0.00039, 0.00034, 0.00032, 0.00034, 0.00038, 0.00044, 0.00048, 0.00051, 0.00052, 0.00051, 0.00048, 0.00044, 0.00038, 0.00033, 0.00028, 0.00025, 0.00024, 0.00025, 0.00028, 0.00033, 0.00038, 0.00045, 0.00051, 0.00056, 0.00059, 0.00060, 0.00059, 0.00056, 0.00051, 0.00045, 0.00038, 0.00031, 0.00025, 0.00020, 0.00017, 0.00016, 0.00017, + 0.00020, 0.00025, 0.00031, 0.00037, 0.00045, 0.00053, 0.00059, 0.00064, 0.00067, 0.00068, 0.00067, 0.00064, 0.00059, 0.00053, 0.00045, 0.00037, 0.00029, 0.00021, 0.00015, 0.00010, 0.00007, 0.00006, 0.00007, 0.00010, 0.00015, 0.00021, 0.00029, 0.00035, 0.00046, 0.00056, 0.00065, 0.00071, 0.00076, 0.00077, 0.00076, 0.00071, 0.00065, 0.00056, 0.00046, 0.00035, 0.00024, + 0.00014, 0.00006, 0.00011, 0.00053, 0.00067, 0.00053, 0.00011, 0.00006, 0.00014, 0.00024, 0.00031, 0.00045, 0.00058, 0.00068, 0.00067, 0.00066, 0.00066, 0.00066, 0.00067, 0.00068, 0.00058, 0.00045, 0.00031, 0.00017, 0.00004, 0.00070, 0.00156, 0.00209, 0.00228, 0.00209, 0.00156, 0.00070, 0.00004, 0.00017, 0.00024, 0.00048, 0.00050, 0.00050, 0.00050, 0.00050, 0.00050, + 0.00049, 0.00024, 0.00007, 0.00222, 0.00360, 0.00411, 0.00364, 0.00222, 0.00017, 0.00008, 0.00017, 0.00018, 36.97166, 0.00018, 0.00017, 0.00008, 0.00211, 0.00415, 0.00430, 0.00415, 0.00211, 0.00038, 0.00038, 0.00043, 0.00045, 0.00043, 0.00038, 0.00033, 0.00031, 0.00033, 0.00038, 0.00043, 0.00047, 0.00050, 0.00051, 0.00050, 0.00047, 0.00043, 0.00038, 0.00033, 0.00028, + 0.00025, 0.00024, 0.00025, 0.00028, 0.00032, 0.00037, 0.00044, 0.00050, 0.00055, 0.00058, 0.00059, 0.00058, 0.00055, 0.00050, 0.00044, 0.00037, 0.00031, 0.00025, 0.00020, 0.00017, 0.00016, 0.00017, 0.00020, 0.00025, 0.00031, 0.00036, 0.00044, 0.00052, 0.00058, 0.00063, 0.00066, 0.00067, 0.00066, 0.00063, 0.00058, 0.00052, 0.00044, 0.00036, 0.00028, 0.00021, 0.00015, + 0.00010, 0.00007, 0.00006, 0.00007, 0.00010, 0.00015, 0.00021, 0.00028, 0.00035, 0.00045, 0.00055, 0.00064, 0.00070, 0.00074, 0.00076, 0.00074, 0.00070, 0.00064, 0.00055, 0.00045, 0.00035, 0.00024, 0.00014, 0.00005, 0.00011, 0.00053, 0.00067, 0.00053, 0.00011, 0.00005, 0.00014, 0.00024, 0.00031, 0.00045, 0.00057, 0.00067, 0.00066, 0.00065, 0.00065, 0.00065, 0.00066, + 0.00067, 0.00057, 0.00045, 0.00031, 0.00017, 0.00004, 0.00070, 0.00156, 0.00209, 0.00228, 0.00209, 0.00156, 0.00070, 0.00004, 0.00017, 0.00023, 0.00047, 0.00049, 0.00049, 0.00049, 0.00049, 0.00049, 0.00048, 0.00023, 0.00007, 0.00222, 0.00359, 0.00411, 0.00364, 0.00222, 0.00017, 0.00008, 0.00016, 0.00017, 0.00017, 36.97166, 0.00016, 0.00008, 0.00211, 0.00413, 0.00415, + 0.00413, 0.00211, 0.00030, 0.00030, 0.00033, 0.00035, 0.00033, 0.00030, 0.00026, 0.00025, 0.00026, 0.00030, 0.00034, 0.00037, 0.00040, 0.00040, 0.00040, 0.00037, 0.00034, 0.00030, 0.00026, 0.00022, 0.00020, 0.00019, 0.00020, 0.00022, 0.00025, 0.00029, 0.00034, 0.00039, 0.00043, 0.00045, 0.00046, 0.00045, 0.00043, 0.00039, 0.00034, 0.00029, 0.00024, 0.00019, 0.00016, + 0.00013, 0.00012, 0.00013, 0.00016, 0.00019, 0.00024, 0.00029, 0.00035, 0.00041, 0.00045, 0.00049, 0.00052, 0.00053, 0.00052, 0.00049, 0.00045, 0.00041, 0.00035, 0.00029, 0.00022, 0.00017, 0.00012, 0.00008, 0.00005, 0.00005, 0.00005, 0.00008, 0.00012, 0.00017, 0.00022, 0.00027, 0.00035, 0.00043, 0.00050, 0.00055, 0.00058, 0.00059, 0.00058, 0.00055, 0.00050, 0.00043, + 0.00035, 0.00027, 0.00019, 0.00011, 0.00004, 0.00011, 0.00053, 0.00067, 0.00053, 0.00011, 0.00004, 0.00011, 0.00019, 0.00024, 0.00035, 0.00045, 0.00053, 0.00051, 0.00050, 0.00050, 0.00050, 0.00051, 0.00053, 0.00045, 0.00035, 0.00024, 0.00013, 0.00003, 0.00070, 0.00155, 0.00209, 0.00227, 0.00209, 0.00155, 0.00070, 0.00003, 0.00013, 0.00018, 0.00037, 0.00038, 0.00037, + 0.00037, 0.00037, 0.00038, 0.00038, 0.00018, 0.00007, 0.00221, 0.00359, 0.00410, 0.00363, 0.00221, 0.00017, 0.00006, 0.00012, 0.00012, 0.00012, 0.00012, 36.97161, 0.00006, 0.00207, 0.00211, 0.00211, 0.00211, 0.00207, 0.00176, 0.00176, 0.00198, 0.00207, 0.00198, 0.00176, 0.00154, 0.00145, 0.00154, 0.00175, 0.00199, 0.00220, 0.00234, 0.00239, 0.00234, 0.00220, 0.00200, + 0.00175, 0.00151, 0.00130, 0.00117, 0.00111, 0.00116, 0.00130, 0.00150, 0.00173, 0.00204, 0.00232, 0.00254, 0.00268, 0.00273, 0.00268, 0.00254, 0.00232, 0.00204, 0.00173, 0.00142, 0.00114, 0.00092, 0.00078, 0.00073, 0.00078, 0.00092, 0.00114, 0.00142, 0.00169, 0.00206, 0.00240, 0.00269, 0.00292, 0.00306, 0.00311, 0.00306, 0.00292, 0.00269, 0.00240, 0.00206, 0.00169, + 0.00132, 0.00098, 0.00069, 0.00046, 0.00032, 0.00027, 0.00032, 0.00046, 0.00069, 0.00098, 0.00132, 0.00160, 0.00210, 0.00256, 0.00296, 0.00326, 0.00345, 0.00352, 0.00345, 0.00326, 0.00296, 0.00256, 0.00210, 0.00160, 0.00111, 0.00065, 0.00025, 0.00000, 0.00002, 0.00002, 0.00002, 0.00000, 0.00025, 0.00065, 0.00111, 0.00143, 0.00207, 0.00267, 0.00313, 0.00313, 0.00313, + 0.00313, 0.00313, 0.00313, 0.00313, 0.00267, 0.00207, 0.00143, 0.00079, 0.00019, 0.00002, 0.00005, 0.00007, 0.00007, 0.00007, 0.00005, 0.00002, 0.00019, 0.00079, 0.00108, 0.00219, 0.00237, 0.00237, 0.00237, 0.00237, 0.00237, 0.00224, 0.00108, 0.00000, 0.00007, 0.00011, 0.00013, 0.00011, 0.00007, 0.00001, 0.00035, 0.00076, 0.00076, 0.00076, 0.00076, 0.00076, 36.97183, + 0.00006, 0.00008, 0.00008, 0.00008, 0.00006, 0.00387, 0.00386, 0.00434, 0.00454, 0.00434, 0.00386, 0.00338, 0.00318, 0.00338, 0.00384, 0.00436, 0.00483, 0.00513, 0.00524, 0.00514, 0.00483, 0.00439, 0.00384, 0.00332, 0.00285, 0.00255, 0.00244, 0.00254, 0.00285, 0.00329, 0.00379, 0.00447, 0.00508, 0.00557, 0.00588, 0.00598, 0.00588, 0.00557, 0.00508, 0.00447, 0.00379, + 0.00312, 0.00251, 0.00202, 0.00171, 0.00160, 0.00171, 0.00202, 0.00251, 0.00312, 0.00370, 0.00451, 0.00526, 0.00590, 0.00639, 0.00670, 0.00681, 0.00670, 0.00639, 0.00590, 0.00526, 0.00451, 0.00370, 0.00290, 0.00215, 0.00151, 0.00101, 0.00070, 0.00060, 0.00070, 0.00101, 0.00151, 0.00215, 0.00290, 0.00352, 0.00460, 0.00561, 0.00648, 0.00715, 0.00757, 0.00771, 0.00757, + 0.00715, 0.00648, 0.00561, 0.00460, 0.00352, 0.00243, 0.00142, 0.00055, 0.00001, 0.00003, 0.00004, 0.00003, 0.00001, 0.00055, 0.00142, 0.00243, 0.00313, 0.00454, 0.00584, 0.00697, 0.00782, 0.00835, 0.00853, 0.00835, 0.00782, 0.00697, 0.00584, 0.00454, 0.00313, 0.00173, 0.00042, 0.00004, 0.00010, 0.00013, 0.00014, 0.00013, 0.00010, 0.00004, 0.00042, 0.00173, 0.00237, + 0.00480, 0.00694, 0.00831, 0.00874, 0.00835, 0.00694, 0.00491, 0.00237, 0.00000, 0.00014, 0.00023, 0.00026, 0.00023, 0.00014, 0.00001, 0.00076, 0.00331, 0.00363, 0.00363, 0.00363, 0.00331, 0.00076, 36.97161, 0.00016, 0.00017, 0.00016, 0.00012, 0.00387, 0.00386, 0.00434, 0.00454, 0.00434, 0.00386, 0.00338, 0.00318, 0.00338, 0.00384, 0.00436, 0.00483, 0.00513, 0.00524, + 0.00514, 0.00483, 0.00439, 0.00384, 0.00332, 0.00285, 0.00255, 0.00244, 0.00254, 0.00285, 0.00329, 0.00379, 0.00447, 0.00508, 0.00557, 0.00588, 0.00599, 0.00588, 0.00557, 0.00508, 0.00447, 0.00379, 0.00312, 0.00251, 0.00202, 0.00171, 0.00160, 0.00171, 0.00202, 0.00251, 0.00312, 0.00370, 0.00451, 0.00526, 0.00590, 0.00639, 0.00671, 0.00681, 0.00671, 0.00639, 0.00590, + 0.00526, 0.00451, 0.00370, 0.00290, 0.00215, 0.00151, 0.00101, 0.00070, 0.00060, 0.00070, 0.00101, 0.00151, 0.00215, 0.00290, 0.00352, 0.00460, 0.00561, 0.00648, 0.00715, 0.00757, 0.00771, 0.00757, 0.00715, 0.00648, 0.00561, 0.00460, 0.00352, 0.00243, 0.00142, 0.00055, 0.00001, 0.00003, 0.00004, 0.00003, 0.00001, 0.00055, 0.00142, 0.00243, 0.00313, 0.00454, 0.00585, + 0.00697, 0.00782, 0.00835, 0.00853, 0.00835, 0.00782, 0.00697, 0.00585, 0.00454, 0.00313, 0.00173, 0.00042, 0.00004, 0.00010, 0.00013, 0.00015, 0.00013, 0.00010, 0.00004, 0.00042, 0.00173, 0.00237, 0.00480, 0.00694, 0.00831, 0.00882, 0.00835, 0.00694, 0.00491, 0.00237, 0.00000, 0.00014, 0.00023, 0.00026, 0.00023, 0.00014, 0.00001, 0.00076, 0.00363, 0.00474, 0.00504, + 0.00474, 0.00363, 0.00076, 0.00012, 36.97166, 0.00018, 0.00017, 0.00012, 0.00387, 0.00386, 0.00434, 0.00454, 0.00434, 0.00386, 0.00338, 0.00318, 0.00338, 0.00384, 0.00436, 0.00483, 0.00513, 0.00524, 0.00514, 0.00483, 0.00439, 0.00384, 0.00332, 0.00285, 0.00255, 0.00244, 0.00254, 0.00285, 0.00329, 0.00379, 0.00447, 0.00508, 0.00557, 0.00588, 0.00599, 0.00588, 0.00557, + 0.00508, 0.00447, 0.00379, 0.00312, 0.00251, 0.00202, 0.00171, 0.00160, 0.00171, 0.00202, 0.00251, 0.00312, 0.00370, 0.00451, 0.00526, 0.00590, 0.00639, 0.00671, 0.00681, 0.00671, 0.00639, 0.00590, 0.00526, 0.00451, 0.00370, 0.00290, 0.00215, 0.00151, 0.00101, 0.00070, 0.00060, 0.00070, 0.00101, 0.00151, 0.00215, 0.00290, 0.00352, 0.00460, 0.00561, 0.00648, 0.00715, + 0.00757, 0.00771, 0.00757, 0.00715, 0.00648, 0.00561, 0.00460, 0.00352, 0.00243, 0.00142, 0.00055, 0.00001, 0.00003, 0.00004, 0.00003, 0.00001, 0.00055, 0.00142, 0.00243, 0.00313, 0.00454, 0.00585, 0.00697, 0.00782, 0.00835, 0.00853, 0.00835, 0.00782, 0.00697, 0.00585, 0.00454, 0.00313, 0.00173, 0.00042, 0.00004, 0.00010, 0.00013, 0.00015, 0.00013, 0.00010, 0.00004, + 0.00042, 0.00173, 0.00237, 0.00480, 0.00694, 0.00831, 0.00882, 0.00835, 0.00694, 0.00491, 0.00237, 0.00000, 0.00014, 0.00023, 0.00026, 0.00023, 0.00014, 0.00001, 0.00076, 0.00363, 0.00504, 0.00547, 0.00504, 0.00363, 0.00076, 0.00012, 0.00017, 36.97166, 0.00017, 0.00012, 0.00387, 0.00386, 0.00434, 0.00454, 0.00434, 0.00386, 0.00338, 0.00318, 0.00338, 0.00384, 0.00436, + 0.00483, 0.00513, 0.00524, 0.00514, 0.00483, 0.00439, 0.00384, 0.00332, 0.00285, 0.00255, 0.00244, 0.00254, 0.00285, 0.00329, 0.00379, 0.00447, 0.00508, 0.00557, 0.00588, 0.00599, 0.00588, 0.00557, 0.00508, 0.00447, 0.00379, 0.00312, 0.00251, 0.00202, 0.00171, 0.00160, 0.00171, 0.00202, 0.00251, 0.00312, 0.00370, 0.00451, 0.00526, 0.00590, 0.00639, 0.00671, 0.00681, + 0.00671, 0.00639, 0.00590, 0.00526, 0.00451, 0.00370, 0.00290, 0.00215, 0.00151, 0.00101, 0.00070, 0.00060, 0.00070, 0.00101, 0.00151, 0.00215, 0.00290, 0.00352, 0.00460, 0.00561, 0.00648, 0.00715, 0.00757, 0.00771, 0.00757, 0.00715, 0.00648, 0.00561, 0.00460, 0.00352, 0.00243, 0.00142, 0.00055, 0.00001, 0.00003, 0.00004, 0.00003, 0.00001, 0.00055, 0.00142, 0.00243, + 0.00313, 0.00454, 0.00585, 0.00697, 0.00782, 0.00835, 0.00853, 0.00835, 0.00782, 0.00697, 0.00585, 0.00454, 0.00313, 0.00173, 0.00042, 0.00004, 0.00010, 0.00013, 0.00015, 0.00013, 0.00010, 0.00004, 0.00042, 0.00173, 0.00237, 0.00480, 0.00694, 0.00831, 0.00882, 0.00835, 0.00694, 0.00491, 0.00237, 0.00000, 0.00014, 0.00023, 0.00026, 0.00023, 0.00014, 0.00001, 0.00076, + 0.00363, 0.00474, 0.00504, 0.00474, 0.00363, 0.00076, 0.00012, 0.00017, 0.00018, 36.97166, 0.00012, 0.00387, 0.00386, 0.00434, 0.00454, 0.00434, 0.00386, 0.00338, 0.00318, 0.00338, 0.00384, 0.00436, 0.00483, 0.00513, 0.00524, 0.00514, 0.00483, 0.00439, 0.00384, 0.00332, 0.00285, 0.00255, 0.00244, 0.00254, 0.00285, 0.00329, 0.00379, 0.00447, 0.00508, 0.00557, 0.00588, + 0.00598, 0.00588, 0.00557, 0.00508, 0.00447, 0.00379, 0.00312, 0.00251, 0.00202, 0.00171, 0.00160, 0.00171, 0.00202, 0.00251, 0.00312, 0.00370, 0.00451, 0.00526, 0.00590, 0.00639, 0.00670, 0.00681, 0.00670, 0.00639, 0.00590, 0.00526, 0.00451, 0.00370, 0.00290, 0.00215, 0.00151, 0.00101, 0.00070, 0.00060, 0.00070, 0.00101, 0.00151, 0.00215, 0.00290, 0.00352, 0.00460, + 0.00561, 0.00648, 0.00715, 0.00757, 0.00771, 0.00757, 0.00715, 0.00648, 0.00561, 0.00460, 0.00352, 0.00243, 0.00142, 0.00055, 0.00001, 0.00003, 0.00004, 0.00003, 0.00001, 0.00055, 0.00142, 0.00243, 0.00313, 0.00454, 0.00584, 0.00697, 0.00782, 0.00835, 0.00853, 0.00835, 0.00782, 0.00697, 0.00584, 0.00454, 0.00313, 0.00173, 0.00042, 0.00004, 0.00010, 0.00013, 0.00014, + 0.00013, 0.00010, 0.00004, 0.00042, 0.00173, 0.00237, 0.00480, 0.00694, 0.00831, 0.00874, 0.00835, 0.00694, 0.00491, 0.00237, 0.00000, 0.00014, 0.00023, 0.00026, 0.00023, 0.00014, 0.00001, 0.00076, 0.00331, 0.00363, 0.00363, 0.00363, 0.00331, 0.00076, 0.00012, 0.00016, 0.00017, 0.00016, 36.97161; + + +Matrix:TwoDimension, +CFS_Glz_70_Tfvis, +145, +145, + 17.32937, 0.00350, 0.00374, 0.00386, 0.00374, 0.00350, 0.00331, 0.00324, 0.00331, 0.00350, 0.00377, 0.00406, 0.00427, 0.00435, 0.00428, 0.00406, 0.00379, 0.00350, 0.00329, 0.00315, 0.00309, 0.00307, 0.00309, 0.00315, 0.00329, 0.00354, 0.00391, 0.00434, 0.00474, 0.00502, 0.00512, 0.00502, 0.00474, 0.00434, 0.00391, 0.00354, 0.00326, 0.00310, 0.00303, 0.00301, 0.00301, + 0.00301, 0.00303, 0.00310, 0.00326, 0.00366, 0.00418, 0.00481, 0.00547, 0.00604, 0.00642, 0.00656, 0.00642, 0.00604, 0.00547, 0.00481, 0.00418, 0.00366, 0.00329, 0.00310, 0.00304, 0.00306, 0.00311, 0.00313, 0.00311, 0.00306, 0.00304, 0.00310, 0.00329, 0.00400, 0.00501, 0.00629, 0.00765, 0.00942, 0.01225, 0.01320, 0.01225, 0.00942, 0.00765, 0.00629, 0.00501, 0.00400, + 0.00336, 0.00311, 0.00315, 0.00335, 0.00355, 0.00361, 0.00355, 0.00335, 0.00315, 0.00311, 0.00336, 0.00485, 0.00728, 0.01052, 0.01691, 0.02183, 0.02493, 0.02598, 0.02493, 0.02183, 0.01691, 0.01052, 0.00728, 0.00485, 0.00349, 0.00319, 0.00358, 0.00332, 0.00316, 0.00310, 0.00316, 0.00332, 0.00358, 0.00319, 0.00349, 0.00670, 0.01928, 0.03400, 0.04250, 0.04566, 0.04277, + 0.03400, 0.02035, 0.00670, 0.00335, 0.00298, 0.00264, 0.00255, 0.00263, 0.00298, 0.00342, 0.01090, 0.05211, 0.05213, 0.05214, 0.05213, 0.05211, 0.01090, 0.00235, 0.00209, 0.00203, 0.00209, 0.00235, 0.00350, 17.71901, 0.00374, 0.00386, 0.00374, 0.00350, 0.00330, 0.00324, 0.00330, 0.00350, 0.00377, 0.00406, 0.00427, 0.00435, 0.00427, 0.00406, 0.00378, 0.00350, 0.00329, + 0.00315, 0.00309, 0.00307, 0.00308, 0.00315, 0.00328, 0.00354, 0.00391, 0.00434, 0.00473, 0.00501, 0.00512, 0.00501, 0.00473, 0.00434, 0.00391, 0.00354, 0.00326, 0.00310, 0.00303, 0.00301, 0.00301, 0.00301, 0.00303, 0.00310, 0.00326, 0.00366, 0.00418, 0.00481, 0.00546, 0.00603, 0.00642, 0.00656, 0.00642, 0.00603, 0.00546, 0.00481, 0.00418, 0.00366, 0.00329, 0.00309, + 0.00304, 0.00306, 0.00310, 0.00313, 0.00310, 0.00306, 0.00304, 0.00309, 0.00329, 0.00400, 0.00501, 0.00629, 0.00765, 0.00941, 0.01224, 0.01319, 0.01224, 0.00941, 0.00765, 0.00629, 0.00501, 0.00400, 0.00336, 0.00310, 0.00314, 0.00335, 0.00354, 0.00361, 0.00354, 0.00335, 0.00314, 0.00310, 0.00336, 0.00484, 0.00728, 0.01051, 0.01690, 0.02182, 0.02491, 0.02597, 0.02491, + 0.02182, 0.01690, 0.01051, 0.00728, 0.00484, 0.00349, 0.00319, 0.00358, 0.00332, 0.00316, 0.00310, 0.00316, 0.00332, 0.00358, 0.00319, 0.00349, 0.00669, 0.01927, 0.03398, 0.04247, 0.04563, 0.04274, 0.03398, 0.02034, 0.00669, 0.00334, 0.00298, 0.00263, 0.00255, 0.00262, 0.00298, 0.00342, 0.01089, 0.05207, 0.05210, 0.05210, 0.05210, 0.05207, 0.01089, 0.00235, 0.00209, + 0.00203, 0.00209, 0.00235, 0.00306, 0.00306, 19.57177, 0.00337, 0.00327, 0.00306, 0.00289, 0.00283, 0.00289, 0.00307, 0.00330, 0.00355, 0.00374, 0.00381, 0.00374, 0.00355, 0.00331, 0.00307, 0.00288, 0.00276, 0.00270, 0.00268, 0.00270, 0.00276, 0.00287, 0.00309, 0.00342, 0.00380, 0.00414, 0.00439, 0.00448, 0.00439, 0.00414, 0.00380, 0.00342, 0.00309, 0.00285, 0.00271, + 0.00265, 0.00264, 0.00263, 0.00264, 0.00265, 0.00271, 0.00285, 0.00320, 0.00366, 0.00421, 0.00478, 0.00528, 0.00562, 0.00574, 0.00562, 0.00528, 0.00478, 0.00421, 0.00366, 0.00320, 0.00288, 0.00271, 0.00266, 0.00268, 0.00272, 0.00274, 0.00272, 0.00268, 0.00266, 0.00271, 0.00288, 0.00350, 0.00438, 0.00550, 0.00669, 0.00824, 0.01072, 0.01155, 0.01072, 0.00824, 0.00669, + 0.00550, 0.00438, 0.00350, 0.00294, 0.00272, 0.00275, 0.00293, 0.00310, 0.00316, 0.00310, 0.00293, 0.00275, 0.00272, 0.00294, 0.00424, 0.00637, 0.00920, 0.01479, 0.01910, 0.02180, 0.02273, 0.02180, 0.01910, 0.01479, 0.00920, 0.00637, 0.00424, 0.00305, 0.00279, 0.00313, 0.00291, 0.00276, 0.00271, 0.00276, 0.00291, 0.00313, 0.00279, 0.00305, 0.00586, 0.01687, 0.02974, + 0.03718, 0.03994, 0.03741, 0.02974, 0.01780, 0.00586, 0.00293, 0.00260, 0.00231, 0.00223, 0.00230, 0.00260, 0.00299, 0.00953, 0.04558, 0.04560, 0.04561, 0.04560, 0.04558, 0.00953, 0.00206, 0.00183, 0.00177, 0.00183, 0.00206, 0.00288, 0.00288, 0.00308, 20.33920, 0.00308, 0.00288, 0.00272, 0.00267, 0.00272, 0.00288, 0.00311, 0.00334, 0.00351, 0.00358, 0.00352, 0.00334, + 0.00312, 0.00288, 0.00271, 0.00260, 0.00254, 0.00253, 0.00254, 0.00260, 0.00270, 0.00291, 0.00322, 0.00357, 0.00390, 0.00413, 0.00421, 0.00413, 0.00390, 0.00357, 0.00322, 0.00291, 0.00269, 0.00255, 0.00249, 0.00248, 0.00248, 0.00248, 0.00249, 0.00255, 0.00269, 0.00301, 0.00344, 0.00396, 0.00450, 0.00497, 0.00529, 0.00540, 0.00529, 0.00497, 0.00450, 0.00396, 0.00344, + 0.00301, 0.00271, 0.00255, 0.00250, 0.00252, 0.00256, 0.00257, 0.00256, 0.00252, 0.00250, 0.00255, 0.00271, 0.00329, 0.00413, 0.00518, 0.00630, 0.00775, 0.01008, 0.01087, 0.01008, 0.00775, 0.00630, 0.00518, 0.00413, 0.00329, 0.00277, 0.00256, 0.00259, 0.00276, 0.00292, 0.00297, 0.00292, 0.00276, 0.00259, 0.00256, 0.00277, 0.00399, 0.00599, 0.00866, 0.01392, 0.01797, + 0.02052, 0.02139, 0.02052, 0.01797, 0.01392, 0.00866, 0.00599, 0.00399, 0.00287, 0.00263, 0.00295, 0.00273, 0.00260, 0.00255, 0.00260, 0.00273, 0.00295, 0.00263, 0.00287, 0.00551, 0.01587, 0.02799, 0.03498, 0.03759, 0.03520, 0.02799, 0.01675, 0.00551, 0.00275, 0.00245, 0.00217, 0.00210, 0.00216, 0.00245, 0.00282, 0.00897, 0.04289, 0.04291, 0.04292, 0.04291, 0.04289, + 0.00897, 0.00194, 0.00172, 0.00167, 0.00172, 0.00194, 0.00306, 0.00306, 0.00327, 0.00337, 19.57177, 0.00306, 0.00289, 0.00283, 0.00289, 0.00307, 0.00330, 0.00355, 0.00374, 0.00381, 0.00374, 0.00355, 0.00331, 0.00307, 0.00288, 0.00276, 0.00270, 0.00268, 0.00270, 0.00276, 0.00287, 0.00309, 0.00342, 0.00380, 0.00414, 0.00439, 0.00448, 0.00439, 0.00414, 0.00380, 0.00342, + 0.00309, 0.00285, 0.00271, 0.00265, 0.00264, 0.00263, 0.00264, 0.00265, 0.00271, 0.00285, 0.00320, 0.00366, 0.00421, 0.00478, 0.00528, 0.00562, 0.00574, 0.00562, 0.00528, 0.00478, 0.00421, 0.00366, 0.00320, 0.00288, 0.00271, 0.00266, 0.00268, 0.00272, 0.00274, 0.00272, 0.00268, 0.00266, 0.00271, 0.00288, 0.00350, 0.00438, 0.00550, 0.00669, 0.00824, 0.01072, 0.01155, + 0.01072, 0.00824, 0.00669, 0.00550, 0.00438, 0.00350, 0.00294, 0.00272, 0.00275, 0.00293, 0.00310, 0.00316, 0.00310, 0.00293, 0.00275, 0.00272, 0.00294, 0.00424, 0.00637, 0.00920, 0.01479, 0.01910, 0.02180, 0.02273, 0.02180, 0.01910, 0.01479, 0.00920, 0.00637, 0.00424, 0.00305, 0.00279, 0.00313, 0.00291, 0.00276, 0.00271, 0.00276, 0.00291, 0.00313, 0.00279, 0.00305, + 0.00586, 0.01687, 0.02974, 0.03718, 0.03994, 0.03741, 0.02974, 0.01780, 0.00586, 0.00293, 0.00260, 0.00231, 0.00223, 0.00230, 0.00260, 0.00299, 0.00953, 0.04558, 0.04560, 0.04561, 0.04560, 0.04558, 0.00953, 0.00206, 0.00183, 0.00177, 0.00183, 0.00206, 0.00350, 0.00350, 0.00374, 0.00386, 0.00374, 17.71901, 0.00330, 0.00324, 0.00330, 0.00350, 0.00377, 0.00406, 0.00427, + 0.00435, 0.00427, 0.00406, 0.00378, 0.00350, 0.00329, 0.00315, 0.00309, 0.00307, 0.00308, 0.00315, 0.00328, 0.00354, 0.00391, 0.00434, 0.00473, 0.00501, 0.00512, 0.00501, 0.00473, 0.00434, 0.00391, 0.00354, 0.00326, 0.00310, 0.00303, 0.00301, 0.00301, 0.00301, 0.00303, 0.00310, 0.00326, 0.00366, 0.00418, 0.00481, 0.00546, 0.00603, 0.00642, 0.00656, 0.00642, 0.00603, + 0.00546, 0.00481, 0.00418, 0.00366, 0.00329, 0.00309, 0.00304, 0.00306, 0.00310, 0.00313, 0.00310, 0.00306, 0.00304, 0.00309, 0.00329, 0.00400, 0.00501, 0.00629, 0.00765, 0.00941, 0.01224, 0.01319, 0.01224, 0.00941, 0.00765, 0.00629, 0.00501, 0.00400, 0.00336, 0.00310, 0.00314, 0.00335, 0.00354, 0.00361, 0.00354, 0.00335, 0.00314, 0.00310, 0.00336, 0.00484, 0.00728, + 0.01051, 0.01690, 0.02182, 0.02491, 0.02597, 0.02491, 0.02182, 0.01690, 0.01051, 0.00728, 0.00484, 0.00349, 0.00319, 0.00358, 0.00332, 0.00316, 0.00310, 0.00316, 0.00332, 0.00358, 0.00319, 0.00349, 0.00669, 0.01927, 0.03398, 0.04247, 0.04563, 0.04274, 0.03398, 0.02034, 0.00669, 0.00334, 0.00298, 0.00263, 0.00255, 0.00262, 0.00298, 0.00342, 0.01089, 0.05207, 0.05210, + 0.05210, 0.05210, 0.05207, 0.01089, 0.00235, 0.00209, 0.00203, 0.00209, 0.00235, 0.00393, 0.00393, 0.00421, 0.00434, 0.00421, 0.00393, 15.86625, 0.00364, 0.00371, 0.00394, 0.00424, 0.00456, 0.00480, 0.00489, 0.00481, 0.00456, 0.00426, 0.00394, 0.00370, 0.00354, 0.00347, 0.00345, 0.00347, 0.00354, 0.00369, 0.00398, 0.00440, 0.00488, 0.00532, 0.00564, 0.00575, 0.00564, + 0.00532, 0.00488, 0.00440, 0.00398, 0.00367, 0.00349, 0.00341, 0.00339, 0.00339, 0.00339, 0.00341, 0.00349, 0.00367, 0.00411, 0.00470, 0.00541, 0.00614, 0.00678, 0.00722, 0.00738, 0.00722, 0.00678, 0.00614, 0.00541, 0.00470, 0.00411, 0.00370, 0.00348, 0.00341, 0.00344, 0.00349, 0.00352, 0.00349, 0.00344, 0.00341, 0.00348, 0.00370, 0.00449, 0.00563, 0.00707, 0.00860, + 0.01058, 0.01377, 0.01484, 0.01377, 0.01058, 0.00860, 0.00707, 0.00563, 0.00449, 0.00378, 0.00349, 0.00354, 0.00377, 0.00399, 0.00406, 0.00399, 0.00377, 0.00354, 0.00349, 0.00378, 0.00545, 0.00818, 0.01183, 0.01900, 0.02454, 0.02802, 0.02920, 0.02802, 0.02454, 0.01900, 0.01183, 0.00818, 0.00545, 0.00392, 0.00359, 0.00403, 0.00373, 0.00355, 0.00349, 0.00355, 0.00373, + 0.00403, 0.00359, 0.00392, 0.00753, 0.02167, 0.03822, 0.04777, 0.05132, 0.04806, 0.03822, 0.02287, 0.00753, 0.00376, 0.00335, 0.00296, 0.00286, 0.00295, 0.00335, 0.00385, 0.01225, 0.05856, 0.05859, 0.05860, 0.05859, 0.05856, 0.01225, 0.00265, 0.00235, 0.00228, 0.00235, 0.00265, 0.00412, 0.00411, 0.00440, 0.00454, 0.00440, 0.00411, 0.00389, 15.09882, 0.00389, 0.00412, + 0.00444, 0.00477, 0.00502, 0.00512, 0.00503, 0.00477, 0.00445, 0.00412, 0.00387, 0.00371, 0.00363, 0.00361, 0.00363, 0.00371, 0.00386, 0.00416, 0.00460, 0.00510, 0.00557, 0.00590, 0.00602, 0.00590, 0.00557, 0.00510, 0.00460, 0.00416, 0.00384, 0.00365, 0.00356, 0.00354, 0.00354, 0.00354, 0.00356, 0.00365, 0.00384, 0.00430, 0.00492, 0.00566, 0.00643, 0.00709, 0.00755, + 0.00771, 0.00755, 0.00709, 0.00643, 0.00566, 0.00492, 0.00430, 0.00387, 0.00364, 0.00357, 0.00360, 0.00365, 0.00368, 0.00365, 0.00360, 0.00357, 0.00364, 0.00387, 0.00470, 0.00589, 0.00740, 0.00900, 0.01107, 0.01440, 0.01552, 0.01440, 0.01107, 0.00900, 0.00740, 0.00589, 0.00470, 0.00395, 0.00365, 0.00370, 0.00394, 0.00417, 0.00425, 0.00417, 0.00394, 0.00370, 0.00365, + 0.00395, 0.00570, 0.00856, 0.01237, 0.01988, 0.02566, 0.02930, 0.03054, 0.02930, 0.02566, 0.01988, 0.01237, 0.00856, 0.00570, 0.00410, 0.00375, 0.00421, 0.00391, 0.00371, 0.00365, 0.00371, 0.00391, 0.00421, 0.00375, 0.00410, 0.00787, 0.02266, 0.03997, 0.04996, 0.05368, 0.05027, 0.03997, 0.02392, 0.00787, 0.00393, 0.00350, 0.00310, 0.00299, 0.00309, 0.00350, 0.00402, + 0.01281, 0.06125, 0.06128, 0.06129, 0.06128, 0.06125, 0.01281, 0.00277, 0.00246, 0.00238, 0.00246, 0.00277, 0.00393, 0.00393, 0.00421, 0.00434, 0.00421, 0.00393, 0.00371, 0.00364, 15.86625, 0.00394, 0.00424, 0.00456, 0.00480, 0.00489, 0.00481, 0.00456, 0.00426, 0.00394, 0.00370, 0.00354, 0.00347, 0.00345, 0.00347, 0.00354, 0.00369, 0.00398, 0.00440, 0.00488, 0.00532, + 0.00564, 0.00575, 0.00564, 0.00532, 0.00488, 0.00440, 0.00398, 0.00367, 0.00349, 0.00341, 0.00339, 0.00339, 0.00339, 0.00341, 0.00349, 0.00367, 0.00411, 0.00470, 0.00541, 0.00614, 0.00678, 0.00722, 0.00738, 0.00722, 0.00678, 0.00614, 0.00541, 0.00470, 0.00411, 0.00370, 0.00348, 0.00341, 0.00344, 0.00349, 0.00352, 0.00349, 0.00344, 0.00341, 0.00348, 0.00370, 0.00449, + 0.00563, 0.00707, 0.00860, 0.01058, 0.01377, 0.01484, 0.01377, 0.01058, 0.00860, 0.00707, 0.00563, 0.00449, 0.00378, 0.00349, 0.00354, 0.00377, 0.00399, 0.00406, 0.00399, 0.00377, 0.00354, 0.00349, 0.00378, 0.00545, 0.00818, 0.01183, 0.01900, 0.02454, 0.02802, 0.02920, 0.02802, 0.02454, 0.01900, 0.01183, 0.00818, 0.00545, 0.00392, 0.00359, 0.00403, 0.00373, 0.00355, + 0.00349, 0.00355, 0.00373, 0.00403, 0.00359, 0.00392, 0.00753, 0.02167, 0.03822, 0.04777, 0.05132, 0.04806, 0.03822, 0.02287, 0.00753, 0.00376, 0.00335, 0.00296, 0.00286, 0.00295, 0.00335, 0.00385, 0.01225, 0.05856, 0.05859, 0.05860, 0.05859, 0.05856, 0.01225, 0.00265, 0.00235, 0.00228, 0.00235, 0.00265, 0.00349, 0.00349, 0.00373, 0.00384, 0.00373, 0.00349, 0.00329, + 0.00323, 0.00329, 18.80449, 0.00376, 0.00405, 0.00426, 0.00434, 0.00426, 0.00405, 0.00377, 0.00349, 0.00328, 0.00314, 0.00308, 0.00306, 0.00308, 0.00314, 0.00327, 0.00353, 0.00390, 0.00432, 0.00472, 0.00500, 0.00510, 0.00500, 0.00472, 0.00432, 0.00390, 0.00353, 0.00325, 0.00309, 0.00302, 0.00300, 0.00300, 0.00300, 0.00302, 0.00309, 0.00325, 0.00365, 0.00417, 0.00480, + 0.00545, 0.00602, 0.00640, 0.00654, 0.00640, 0.00602, 0.00545, 0.00480, 0.00417, 0.00365, 0.00328, 0.00309, 0.00303, 0.00305, 0.00310, 0.00312, 0.00310, 0.00305, 0.00303, 0.00309, 0.00328, 0.00399, 0.00499, 0.00627, 0.00763, 0.00939, 0.01221, 0.01316, 0.01221, 0.00939, 0.00763, 0.00627, 0.00499, 0.00399, 0.00335, 0.00310, 0.00314, 0.00334, 0.00354, 0.00360, 0.00354, + 0.00334, 0.00314, 0.00310, 0.00335, 0.00483, 0.00726, 0.01049, 0.01685, 0.02176, 0.02484, 0.02589, 0.02484, 0.02176, 0.01685, 0.01049, 0.00726, 0.00483, 0.00348, 0.00318, 0.00357, 0.00331, 0.00315, 0.00309, 0.00315, 0.00331, 0.00357, 0.00318, 0.00348, 0.00667, 0.01922, 0.03389, 0.04235, 0.04551, 0.04262, 0.03389, 0.02028, 0.00667, 0.00334, 0.00297, 0.00263, 0.00254, + 0.00262, 0.00297, 0.00341, 0.01086, 0.05193, 0.05196, 0.05196, 0.05196, 0.05193, 0.01086, 0.00235, 0.00209, 0.00202, 0.00209, 0.00235, 0.00301, 0.00301, 0.00322, 0.00332, 0.00322, 0.00301, 0.00284, 0.00279, 0.00284, 0.00302, 20.95472, 0.00350, 0.00368, 0.00375, 0.00368, 0.00350, 0.00326, 0.00302, 0.00283, 0.00271, 0.00266, 0.00264, 0.00266, 0.00271, 0.00283, 0.00304, + 0.00337, 0.00374, 0.00408, 0.00432, 0.00441, 0.00432, 0.00408, 0.00374, 0.00337, 0.00304, 0.00281, 0.00267, 0.00261, 0.00259, 0.00259, 0.00259, 0.00261, 0.00267, 0.00281, 0.00315, 0.00360, 0.00414, 0.00470, 0.00519, 0.00553, 0.00565, 0.00553, 0.00519, 0.00470, 0.00414, 0.00360, 0.00315, 0.00283, 0.00266, 0.00261, 0.00263, 0.00267, 0.00269, 0.00267, 0.00263, 0.00261, + 0.00266, 0.00283, 0.00344, 0.00431, 0.00542, 0.00659, 0.00811, 0.01054, 0.01136, 0.01054, 0.00811, 0.00659, 0.00542, 0.00431, 0.00344, 0.00289, 0.00267, 0.00271, 0.00288, 0.00305, 0.00311, 0.00305, 0.00288, 0.00271, 0.00267, 0.00289, 0.00417, 0.00627, 0.00906, 0.01455, 0.01879, 0.02146, 0.02236, 0.02146, 0.01879, 0.01455, 0.00906, 0.00627, 0.00417, 0.00300, 0.00275, + 0.00308, 0.00286, 0.00272, 0.00267, 0.00272, 0.00286, 0.00308, 0.00275, 0.00300, 0.00576, 0.01660, 0.02927, 0.03658, 0.03930, 0.03681, 0.02927, 0.01752, 0.00576, 0.00288, 0.00256, 0.00227, 0.00219, 0.00226, 0.00256, 0.00294, 0.00938, 0.04485, 0.04487, 0.04488, 0.04487, 0.04485, 0.00938, 0.00203, 0.00180, 0.00174, 0.00180, 0.00203, 0.00259, 0.00259, 0.00277, 0.00286, + 0.00277, 0.00259, 0.00245, 0.00240, 0.00245, 0.00259, 0.00279, 22.86323, 0.00316, 0.00322, 0.00317, 0.00301, 0.00280, 0.00259, 0.00244, 0.00233, 0.00229, 0.00227, 0.00228, 0.00233, 0.00243, 0.00262, 0.00290, 0.00321, 0.00351, 0.00371, 0.00379, 0.00371, 0.00351, 0.00321, 0.00290, 0.00262, 0.00241, 0.00229, 0.00224, 0.00223, 0.00223, 0.00223, 0.00224, 0.00229, 0.00241, + 0.00271, 0.00310, 0.00356, 0.00405, 0.00447, 0.00475, 0.00486, 0.00475, 0.00447, 0.00405, 0.00356, 0.00310, 0.00271, 0.00244, 0.00229, 0.00225, 0.00227, 0.00230, 0.00231, 0.00230, 0.00227, 0.00225, 0.00229, 0.00244, 0.00296, 0.00371, 0.00466, 0.00566, 0.00697, 0.00907, 0.00977, 0.00907, 0.00697, 0.00566, 0.00466, 0.00371, 0.00296, 0.00249, 0.00230, 0.00233, 0.00248, + 0.00263, 0.00267, 0.00263, 0.00248, 0.00233, 0.00230, 0.00249, 0.00359, 0.00539, 0.00779, 0.01251, 0.01616, 0.01845, 0.01923, 0.01845, 0.01616, 0.01251, 0.00779, 0.00539, 0.00359, 0.00258, 0.00236, 0.00265, 0.00246, 0.00234, 0.00230, 0.00234, 0.00246, 0.00265, 0.00236, 0.00258, 0.00496, 0.01427, 0.02517, 0.03145, 0.03380, 0.03165, 0.02517, 0.01506, 0.00496, 0.00248, + 0.00220, 0.00195, 0.00189, 0.00194, 0.00220, 0.00253, 0.00806, 0.03856, 0.03858, 0.03859, 0.03858, 0.03856, 0.00806, 0.00174, 0.00155, 0.00150, 0.00155, 0.00174, 0.00232, 0.00232, 0.00248, 0.00256, 0.00248, 0.00232, 0.00219, 0.00215, 0.00219, 0.00232, 0.00250, 0.00269, 24.08809, 0.00288, 0.00283, 0.00269, 0.00251, 0.00232, 0.00218, 0.00209, 0.00205, 0.00203, 0.00205, + 0.00209, 0.00218, 0.00234, 0.00259, 0.00288, 0.00314, 0.00333, 0.00339, 0.00333, 0.00314, 0.00288, 0.00259, 0.00234, 0.00216, 0.00205, 0.00201, 0.00200, 0.00200, 0.00200, 0.00201, 0.00205, 0.00216, 0.00242, 0.00277, 0.00319, 0.00362, 0.00400, 0.00426, 0.00435, 0.00426, 0.00400, 0.00362, 0.00319, 0.00277, 0.00242, 0.00218, 0.00205, 0.00201, 0.00203, 0.00206, 0.00207, + 0.00206, 0.00203, 0.00201, 0.00205, 0.00218, 0.00265, 0.00332, 0.00417, 0.00507, 0.00624, 0.00812, 0.00875, 0.00812, 0.00624, 0.00507, 0.00417, 0.00332, 0.00265, 0.00223, 0.00206, 0.00209, 0.00222, 0.00235, 0.00239, 0.00235, 0.00222, 0.00209, 0.00206, 0.00223, 0.00321, 0.00483, 0.00697, 0.01121, 0.01447, 0.01652, 0.01722, 0.01652, 0.01447, 0.01121, 0.00697, 0.00483, + 0.00321, 0.00231, 0.00212, 0.00237, 0.00220, 0.00209, 0.00206, 0.00209, 0.00220, 0.00237, 0.00212, 0.00231, 0.00444, 0.01278, 0.02253, 0.02816, 0.03026, 0.02834, 0.02253, 0.01349, 0.00444, 0.00222, 0.00197, 0.00175, 0.00169, 0.00174, 0.00197, 0.00227, 0.00722, 0.03453, 0.03455, 0.03455, 0.03455, 0.03453, 0.00722, 0.00156, 0.00139, 0.00134, 0.00139, 0.00156, 0.00222, + 0.00222, 0.00237, 0.00245, 0.00237, 0.00222, 0.00210, 0.00205, 0.00210, 0.00222, 0.00239, 0.00257, 0.00271, 24.54437, 0.00271, 0.00257, 0.00240, 0.00222, 0.00209, 0.00200, 0.00196, 0.00195, 0.00196, 0.00200, 0.00208, 0.00224, 0.00248, 0.00275, 0.00300, 0.00318, 0.00325, 0.00318, 0.00300, 0.00275, 0.00248, 0.00224, 0.00207, 0.00197, 0.00192, 0.00191, 0.00191, 0.00191, + 0.00192, 0.00197, 0.00207, 0.00232, 0.00265, 0.00305, 0.00346, 0.00383, 0.00407, 0.00416, 0.00407, 0.00383, 0.00346, 0.00305, 0.00265, 0.00232, 0.00209, 0.00196, 0.00193, 0.00194, 0.00197, 0.00198, 0.00197, 0.00194, 0.00193, 0.00196, 0.00209, 0.00254, 0.00318, 0.00399, 0.00485, 0.00597, 0.00776, 0.00837, 0.00776, 0.00597, 0.00485, 0.00399, 0.00318, 0.00254, 0.00213, + 0.00197, 0.00199, 0.00212, 0.00225, 0.00229, 0.00225, 0.00212, 0.00199, 0.00197, 0.00213, 0.00307, 0.00462, 0.00667, 0.01072, 0.01384, 0.01580, 0.01647, 0.01580, 0.01384, 0.01072, 0.00667, 0.00462, 0.00307, 0.00221, 0.00202, 0.00227, 0.00211, 0.00200, 0.00197, 0.00200, 0.00211, 0.00227, 0.00202, 0.00221, 0.00424, 0.01222, 0.02155, 0.02694, 0.02895, 0.02711, 0.02155, + 0.01290, 0.00424, 0.00212, 0.00189, 0.00167, 0.00161, 0.00166, 0.00189, 0.00217, 0.00691, 0.03303, 0.03305, 0.03305, 0.03305, 0.03303, 0.00691, 0.00149, 0.00133, 0.00128, 0.00133, 0.00149, 0.00231, 0.00231, 0.00247, 0.00255, 0.00247, 0.00231, 0.00218, 0.00214, 0.00218, 0.00231, 0.00249, 0.00268, 0.00282, 0.00287, 24.12643, 0.00268, 0.00250, 0.00231, 0.00217, 0.00208, + 0.00204, 0.00203, 0.00204, 0.00208, 0.00217, 0.00234, 0.00258, 0.00287, 0.00313, 0.00331, 0.00338, 0.00331, 0.00313, 0.00287, 0.00258, 0.00234, 0.00215, 0.00205, 0.00200, 0.00199, 0.00199, 0.00199, 0.00200, 0.00205, 0.00215, 0.00242, 0.00276, 0.00318, 0.00361, 0.00399, 0.00424, 0.00433, 0.00424, 0.00399, 0.00361, 0.00318, 0.00276, 0.00242, 0.00217, 0.00204, 0.00201, + 0.00202, 0.00205, 0.00207, 0.00205, 0.00202, 0.00201, 0.00204, 0.00217, 0.00264, 0.00331, 0.00416, 0.00505, 0.00622, 0.00809, 0.00872, 0.00809, 0.00622, 0.00505, 0.00416, 0.00331, 0.00264, 0.00222, 0.00205, 0.00208, 0.00221, 0.00234, 0.00239, 0.00234, 0.00221, 0.00208, 0.00205, 0.00222, 0.00320, 0.00481, 0.00695, 0.01116, 0.01442, 0.01646, 0.01716, 0.01646, 0.01442, + 0.01116, 0.00695, 0.00481, 0.00320, 0.00230, 0.00211, 0.00237, 0.00219, 0.00209, 0.00205, 0.00209, 0.00219, 0.00237, 0.00211, 0.00230, 0.00442, 0.01273, 0.02245, 0.02806, 0.03015, 0.02824, 0.02245, 0.01344, 0.00442, 0.00221, 0.00197, 0.00174, 0.00168, 0.00173, 0.00197, 0.00226, 0.00719, 0.03440, 0.03442, 0.03443, 0.03442, 0.03440, 0.00719, 0.00155, 0.00138, 0.00134, + 0.00138, 0.00155, 0.00259, 0.00259, 0.00277, 0.00286, 0.00277, 0.00259, 0.00245, 0.00240, 0.00245, 0.00259, 0.00279, 0.00301, 0.00316, 0.00322, 0.00317, 22.86323, 0.00280, 0.00259, 0.00244, 0.00233, 0.00229, 0.00227, 0.00228, 0.00233, 0.00243, 0.00262, 0.00290, 0.00321, 0.00351, 0.00371, 0.00379, 0.00371, 0.00351, 0.00321, 0.00290, 0.00262, 0.00241, 0.00229, 0.00224, + 0.00223, 0.00223, 0.00223, 0.00224, 0.00229, 0.00241, 0.00271, 0.00310, 0.00356, 0.00405, 0.00447, 0.00475, 0.00486, 0.00475, 0.00447, 0.00405, 0.00356, 0.00310, 0.00271, 0.00244, 0.00229, 0.00225, 0.00227, 0.00230, 0.00231, 0.00230, 0.00227, 0.00225, 0.00229, 0.00244, 0.00296, 0.00371, 0.00466, 0.00566, 0.00697, 0.00907, 0.00977, 0.00907, 0.00697, 0.00566, 0.00466, + 0.00371, 0.00296, 0.00249, 0.00230, 0.00233, 0.00248, 0.00263, 0.00267, 0.00263, 0.00248, 0.00233, 0.00230, 0.00249, 0.00359, 0.00539, 0.00779, 0.01251, 0.01616, 0.01845, 0.01923, 0.01845, 0.01616, 0.01251, 0.00779, 0.00539, 0.00359, 0.00258, 0.00236, 0.00265, 0.00246, 0.00234, 0.00230, 0.00234, 0.00246, 0.00265, 0.00236, 0.00258, 0.00496, 0.01427, 0.02517, 0.03145, + 0.03380, 0.03165, 0.02517, 0.01506, 0.00496, 0.00248, 0.00220, 0.00195, 0.00189, 0.00194, 0.00220, 0.00253, 0.00806, 0.03856, 0.03858, 0.03859, 0.03858, 0.03856, 0.00806, 0.00174, 0.00155, 0.00150, 0.00155, 0.00174, 0.00299, 0.00299, 0.00320, 0.00330, 0.00320, 0.00299, 0.00283, 0.00277, 0.00283, 0.00300, 0.00323, 0.00347, 0.00365, 0.00372, 0.00366, 0.00347, 21.04727, + 0.00300, 0.00281, 0.00270, 0.00264, 0.00262, 0.00264, 0.00270, 0.00281, 0.00302, 0.00335, 0.00371, 0.00405, 0.00429, 0.00438, 0.00429, 0.00405, 0.00371, 0.00335, 0.00302, 0.00279, 0.00265, 0.00259, 0.00258, 0.00258, 0.00258, 0.00259, 0.00265, 0.00279, 0.00313, 0.00358, 0.00411, 0.00467, 0.00516, 0.00549, 0.00561, 0.00549, 0.00516, 0.00467, 0.00411, 0.00358, 0.00313, + 0.00282, 0.00265, 0.00260, 0.00262, 0.00266, 0.00267, 0.00266, 0.00262, 0.00260, 0.00265, 0.00282, 0.00342, 0.00428, 0.00538, 0.00654, 0.00805, 0.01047, 0.01129, 0.01047, 0.00805, 0.00654, 0.00538, 0.00428, 0.00342, 0.00287, 0.00266, 0.00269, 0.00286, 0.00303, 0.00309, 0.00303, 0.00286, 0.00269, 0.00266, 0.00287, 0.00414, 0.00622, 0.00899, 0.01445, 0.01866, 0.02131, + 0.02221, 0.02131, 0.01866, 0.01445, 0.00899, 0.00622, 0.00414, 0.00298, 0.00273, 0.00306, 0.00284, 0.00270, 0.00265, 0.00270, 0.00284, 0.00306, 0.00273, 0.00298, 0.00572, 0.01648, 0.02907, 0.03633, 0.03904, 0.03656, 0.02907, 0.01740, 0.00572, 0.00286, 0.00254, 0.00225, 0.00218, 0.00224, 0.00254, 0.00292, 0.00931, 0.04454, 0.04457, 0.04457, 0.04457, 0.04454, 0.00931, + 0.00201, 0.00179, 0.00173, 0.00179, 0.00201, 0.00349, 0.00349, 0.00373, 0.00384, 0.00373, 0.00349, 0.00329, 0.00323, 0.00329, 0.00349, 0.00376, 0.00405, 0.00426, 0.00434, 0.00426, 0.00405, 0.00377, 18.80449, 0.00328, 0.00314, 0.00308, 0.00306, 0.00308, 0.00314, 0.00327, 0.00353, 0.00390, 0.00432, 0.00472, 0.00500, 0.00510, 0.00500, 0.00472, 0.00432, 0.00390, 0.00353, + 0.00325, 0.00309, 0.00302, 0.00300, 0.00300, 0.00300, 0.00302, 0.00309, 0.00325, 0.00365, 0.00417, 0.00480, 0.00545, 0.00602, 0.00640, 0.00654, 0.00640, 0.00602, 0.00545, 0.00480, 0.00417, 0.00365, 0.00328, 0.00309, 0.00303, 0.00305, 0.00310, 0.00312, 0.00310, 0.00305, 0.00303, 0.00309, 0.00328, 0.00399, 0.00499, 0.00627, 0.00763, 0.00939, 0.01221, 0.01316, 0.01221, + 0.00939, 0.00763, 0.00627, 0.00499, 0.00399, 0.00335, 0.00310, 0.00314, 0.00334, 0.00354, 0.00360, 0.00354, 0.00334, 0.00314, 0.00310, 0.00335, 0.00483, 0.00726, 0.01049, 0.01685, 0.02176, 0.02484, 0.02589, 0.02484, 0.02176, 0.01685, 0.01049, 0.00726, 0.00483, 0.00348, 0.00318, 0.00357, 0.00331, 0.00315, 0.00309, 0.00315, 0.00331, 0.00357, 0.00318, 0.00348, 0.00667, + 0.01922, 0.03389, 0.04235, 0.04551, 0.04262, 0.03389, 0.02028, 0.00667, 0.00334, 0.00297, 0.00263, 0.00254, 0.00262, 0.00297, 0.00341, 0.01086, 0.05193, 0.05196, 0.05196, 0.05196, 0.05193, 0.01086, 0.00235, 0.00209, 0.00202, 0.00209, 0.00235, 0.00396, 0.00396, 0.00424, 0.00437, 0.00424, 0.00396, 0.00374, 0.00367, 0.00374, 0.00397, 0.00427, 0.00460, 0.00484, 0.00493, + 0.00484, 0.00460, 0.00429, 0.00397, 16.65425, 0.00357, 0.00350, 0.00348, 0.00350, 0.00357, 0.00372, 0.00401, 0.00443, 0.00491, 0.00536, 0.00568, 0.00580, 0.00568, 0.00536, 0.00491, 0.00443, 0.00401, 0.00369, 0.00351, 0.00343, 0.00341, 0.00341, 0.00341, 0.00343, 0.00351, 0.00369, 0.00414, 0.00474, 0.00545, 0.00619, 0.00684, 0.00728, 0.00743, 0.00728, 0.00684, 0.00619, + 0.00545, 0.00474, 0.00414, 0.00373, 0.00351, 0.00344, 0.00347, 0.00352, 0.00354, 0.00352, 0.00347, 0.00344, 0.00351, 0.00373, 0.00453, 0.00568, 0.00713, 0.00867, 0.01067, 0.01387, 0.01495, 0.01387, 0.01067, 0.00867, 0.00713, 0.00568, 0.00453, 0.00381, 0.00352, 0.00356, 0.00379, 0.00402, 0.00409, 0.00402, 0.00379, 0.00356, 0.00352, 0.00381, 0.00549, 0.00825, 0.01192, + 0.01915, 0.02472, 0.02823, 0.02943, 0.02823, 0.02472, 0.01915, 0.01192, 0.00825, 0.00549, 0.00395, 0.00362, 0.00406, 0.00376, 0.00358, 0.00351, 0.00358, 0.00376, 0.00406, 0.00362, 0.00395, 0.00758, 0.02184, 0.03851, 0.04813, 0.05171, 0.04843, 0.03851, 0.02305, 0.00758, 0.00379, 0.00337, 0.00299, 0.00288, 0.00297, 0.00337, 0.00387, 0.01234, 0.05901, 0.05904, 0.05905, + 0.05904, 0.05901, 0.01234, 0.00267, 0.00237, 0.00230, 0.00237, 0.00267, 0.00439, 0.00439, 0.00469, 0.00483, 0.00469, 0.00439, 0.00414, 0.00406, 0.00414, 0.00439, 0.00473, 0.00509, 0.00535, 0.00545, 0.00536, 0.00509, 0.00475, 0.00439, 0.00413, 14.74571, 0.00387, 0.00385, 0.00387, 0.00395, 0.00412, 0.00443, 0.00490, 0.00544, 0.00593, 0.00629, 0.00642, 0.00629, 0.00593, + 0.00544, 0.00490, 0.00443, 0.00409, 0.00389, 0.00380, 0.00378, 0.00377, 0.00378, 0.00380, 0.00389, 0.00409, 0.00458, 0.00524, 0.00603, 0.00685, 0.00756, 0.00805, 0.00822, 0.00805, 0.00756, 0.00685, 0.00603, 0.00524, 0.00458, 0.00413, 0.00388, 0.00381, 0.00384, 0.00389, 0.00392, 0.00389, 0.00384, 0.00381, 0.00388, 0.00413, 0.00501, 0.00628, 0.00789, 0.00959, 0.01180, + 0.01535, 0.01655, 0.01535, 0.01180, 0.00959, 0.00789, 0.00628, 0.00501, 0.00421, 0.00389, 0.00394, 0.00420, 0.00445, 0.00453, 0.00445, 0.00420, 0.00394, 0.00389, 0.00421, 0.00607, 0.00912, 0.01318, 0.02119, 0.02736, 0.03124, 0.03256, 0.03124, 0.02736, 0.02119, 0.01318, 0.00912, 0.00607, 0.00437, 0.00400, 0.00449, 0.00416, 0.00396, 0.00389, 0.00396, 0.00416, 0.00449, + 0.00400, 0.00437, 0.00839, 0.02416, 0.04261, 0.05326, 0.05722, 0.05359, 0.04261, 0.02550, 0.00839, 0.00419, 0.00373, 0.00330, 0.00319, 0.00329, 0.00373, 0.00429, 0.01365, 0.06529, 0.06533, 0.06533, 0.06533, 0.06529, 0.01365, 0.00295, 0.00262, 0.00254, 0.00262, 0.00295, 0.00466, 0.00466, 0.00498, 0.00513, 0.00498, 0.00466, 0.00440, 0.00431, 0.00440, 0.00466, 0.00502, + 0.00540, 0.00568, 0.00579, 0.00569, 0.00540, 0.00504, 0.00466, 0.00438, 0.00420, 13.52083, 0.00408, 0.00411, 0.00420, 0.00437, 0.00471, 0.00521, 0.00577, 0.00630, 0.00668, 0.00681, 0.00668, 0.00630, 0.00577, 0.00521, 0.00471, 0.00434, 0.00413, 0.00403, 0.00401, 0.00401, 0.00401, 0.00403, 0.00413, 0.00434, 0.00487, 0.00556, 0.00640, 0.00727, 0.00803, 0.00855, 0.00873, + 0.00855, 0.00803, 0.00727, 0.00640, 0.00556, 0.00487, 0.00438, 0.00412, 0.00404, 0.00407, 0.00413, 0.00416, 0.00413, 0.00407, 0.00404, 0.00412, 0.00438, 0.00532, 0.00667, 0.00837, 0.01018, 0.01253, 0.01630, 0.01757, 0.01630, 0.01253, 0.01018, 0.00837, 0.00667, 0.00532, 0.00447, 0.00413, 0.00419, 0.00446, 0.00472, 0.00481, 0.00472, 0.00446, 0.00419, 0.00413, 0.00447, + 0.00645, 0.00969, 0.01400, 0.02250, 0.02905, 0.03317, 0.03457, 0.03317, 0.02905, 0.02250, 0.01400, 0.00969, 0.00645, 0.00464, 0.00425, 0.00477, 0.00442, 0.00420, 0.00413, 0.00420, 0.00442, 0.00477, 0.00425, 0.00464, 0.00891, 0.02565, 0.04524, 0.05655, 0.06076, 0.05690, 0.04524, 0.02708, 0.00891, 0.00445, 0.00396, 0.00351, 0.00339, 0.00349, 0.00396, 0.00455, 0.01450, + 0.06933, 0.06936, 0.06937, 0.06936, 0.06933, 0.01450, 0.00313, 0.00278, 0.00270, 0.00278, 0.00313, 0.00476, 0.00476, 0.00509, 0.00524, 0.00509, 0.00476, 0.00449, 0.00440, 0.00449, 0.00476, 0.00513, 0.00552, 0.00580, 0.00592, 0.00581, 0.00552, 0.00515, 0.00476, 0.00448, 0.00429, 0.00420, 13.06454, 0.00420, 0.00429, 0.00447, 0.00481, 0.00532, 0.00590, 0.00644, 0.00682, + 0.00696, 0.00682, 0.00644, 0.00590, 0.00532, 0.00481, 0.00443, 0.00422, 0.00412, 0.00410, 0.00409, 0.00410, 0.00412, 0.00422, 0.00443, 0.00497, 0.00568, 0.00654, 0.00743, 0.00820, 0.00873, 0.00892, 0.00873, 0.00820, 0.00743, 0.00654, 0.00568, 0.00497, 0.00448, 0.00421, 0.00413, 0.00416, 0.00422, 0.00425, 0.00422, 0.00416, 0.00413, 0.00421, 0.00448, 0.00544, 0.00681, + 0.00855, 0.01040, 0.01280, 0.01665, 0.01795, 0.01665, 0.01280, 0.01040, 0.00855, 0.00681, 0.00544, 0.00457, 0.00422, 0.00428, 0.00456, 0.00482, 0.00491, 0.00482, 0.00456, 0.00428, 0.00422, 0.00457, 0.00659, 0.00990, 0.01430, 0.02298, 0.02968, 0.03388, 0.03532, 0.03388, 0.02968, 0.02298, 0.01430, 0.00990, 0.00659, 0.00474, 0.00434, 0.00487, 0.00452, 0.00429, 0.00422, + 0.00429, 0.00452, 0.00487, 0.00434, 0.00474, 0.00910, 0.02621, 0.04622, 0.05777, 0.06207, 0.05813, 0.04622, 0.02766, 0.00910, 0.00455, 0.00405, 0.00358, 0.00346, 0.00357, 0.00405, 0.00465, 0.01481, 0.07083, 0.07087, 0.07087, 0.07087, 0.07083, 0.01481, 0.00320, 0.00284, 0.00275, 0.00284, 0.00320, 0.00467, 0.00467, 0.00499, 0.00514, 0.00499, 0.00467, 0.00441, 0.00432, + 0.00441, 0.00467, 0.00503, 0.00541, 0.00569, 0.00580, 0.00570, 0.00541, 0.00505, 0.00467, 0.00439, 0.00420, 0.00412, 0.00409, 13.48249, 0.00420, 0.00438, 0.00472, 0.00522, 0.00578, 0.00631, 0.00669, 0.00682, 0.00669, 0.00631, 0.00578, 0.00522, 0.00472, 0.00435, 0.00413, 0.00404, 0.00402, 0.00402, 0.00402, 0.00404, 0.00413, 0.00435, 0.00488, 0.00557, 0.00642, 0.00729, + 0.00805, 0.00856, 0.00875, 0.00856, 0.00805, 0.00729, 0.00642, 0.00557, 0.00488, 0.00439, 0.00413, 0.00405, 0.00408, 0.00414, 0.00417, 0.00414, 0.00408, 0.00405, 0.00413, 0.00439, 0.00533, 0.00668, 0.00839, 0.01020, 0.01255, 0.01633, 0.01760, 0.01633, 0.01255, 0.01020, 0.00839, 0.00668, 0.00533, 0.00448, 0.00414, 0.00419, 0.00447, 0.00473, 0.00482, 0.00473, 0.00447, + 0.00419, 0.00414, 0.00448, 0.00646, 0.00971, 0.01402, 0.02254, 0.02910, 0.03323, 0.03463, 0.03323, 0.02910, 0.02254, 0.01402, 0.00971, 0.00646, 0.00465, 0.00426, 0.00478, 0.00443, 0.00421, 0.00414, 0.00421, 0.00443, 0.00478, 0.00426, 0.00465, 0.00893, 0.02570, 0.04532, 0.05665, 0.06087, 0.05700, 0.04532, 0.02713, 0.00893, 0.00446, 0.00397, 0.00351, 0.00340, 0.00350, + 0.00397, 0.00456, 0.01452, 0.06945, 0.06949, 0.06950, 0.06949, 0.06945, 0.01452, 0.00314, 0.00279, 0.00270, 0.00279, 0.00314, 0.00439, 0.00439, 0.00469, 0.00483, 0.00469, 0.00439, 0.00414, 0.00406, 0.00414, 0.00439, 0.00473, 0.00509, 0.00535, 0.00545, 0.00536, 0.00509, 0.00475, 0.00439, 0.00413, 0.00395, 0.00387, 0.00385, 0.00387, 14.74571, 0.00412, 0.00443, 0.00490, + 0.00544, 0.00593, 0.00629, 0.00642, 0.00629, 0.00593, 0.00544, 0.00490, 0.00443, 0.00409, 0.00389, 0.00380, 0.00378, 0.00377, 0.00378, 0.00380, 0.00389, 0.00409, 0.00458, 0.00524, 0.00603, 0.00685, 0.00756, 0.00805, 0.00822, 0.00805, 0.00756, 0.00685, 0.00603, 0.00524, 0.00458, 0.00413, 0.00388, 0.00381, 0.00384, 0.00389, 0.00392, 0.00389, 0.00384, 0.00381, 0.00388, + 0.00413, 0.00501, 0.00628, 0.00789, 0.00959, 0.01180, 0.01535, 0.01655, 0.01535, 0.01180, 0.00959, 0.00789, 0.00628, 0.00501, 0.00421, 0.00389, 0.00394, 0.00420, 0.00445, 0.00453, 0.00445, 0.00420, 0.00394, 0.00389, 0.00421, 0.00607, 0.00912, 0.01318, 0.02119, 0.02736, 0.03124, 0.03256, 0.03124, 0.02736, 0.02119, 0.01318, 0.00912, 0.00607, 0.00437, 0.00400, 0.00449, + 0.00416, 0.00396, 0.00389, 0.00396, 0.00416, 0.00449, 0.00400, 0.00437, 0.00839, 0.02416, 0.04261, 0.05326, 0.05722, 0.05359, 0.04261, 0.02550, 0.00839, 0.00419, 0.00373, 0.00330, 0.00319, 0.00329, 0.00373, 0.00429, 0.01365, 0.06529, 0.06533, 0.06533, 0.06533, 0.06529, 0.01365, 0.00295, 0.00262, 0.00254, 0.00262, 0.00295, 0.00399, 0.00398, 0.00426, 0.00439, 0.00426, + 0.00398, 0.00376, 0.00369, 0.00376, 0.00399, 0.00430, 0.00462, 0.00486, 0.00495, 0.00487, 0.00462, 0.00431, 0.00399, 0.00375, 0.00359, 0.00352, 0.00349, 0.00351, 0.00359, 16.56169, 0.00403, 0.00446, 0.00494, 0.00539, 0.00571, 0.00583, 0.00571, 0.00539, 0.00494, 0.00446, 0.00403, 0.00371, 0.00353, 0.00345, 0.00343, 0.00343, 0.00343, 0.00345, 0.00353, 0.00371, 0.00416, + 0.00476, 0.00548, 0.00622, 0.00687, 0.00731, 0.00747, 0.00731, 0.00687, 0.00622, 0.00548, 0.00476, 0.00416, 0.00375, 0.00352, 0.00346, 0.00348, 0.00354, 0.00356, 0.00354, 0.00348, 0.00346, 0.00352, 0.00375, 0.00455, 0.00570, 0.00716, 0.00871, 0.01072, 0.01394, 0.01503, 0.01394, 0.01072, 0.00871, 0.00716, 0.00570, 0.00455, 0.00383, 0.00354, 0.00358, 0.00381, 0.00404, + 0.00411, 0.00404, 0.00381, 0.00358, 0.00354, 0.00383, 0.00552, 0.00829, 0.01198, 0.01925, 0.02485, 0.02838, 0.02958, 0.02838, 0.02485, 0.01925, 0.01198, 0.00829, 0.00552, 0.00397, 0.00364, 0.00408, 0.00378, 0.00360, 0.00353, 0.00360, 0.00378, 0.00408, 0.00364, 0.00397, 0.00762, 0.02195, 0.03871, 0.04838, 0.05198, 0.04868, 0.03871, 0.02317, 0.00762, 0.00381, 0.00339, + 0.00300, 0.00290, 0.00299, 0.00339, 0.00389, 0.01240, 0.05931, 0.05934, 0.05935, 0.05934, 0.05931, 0.01240, 0.00268, 0.00238, 0.00231, 0.00238, 0.00268, 0.00346, 0.00346, 0.00370, 0.00382, 0.00370, 0.00346, 0.00327, 0.00320, 0.00327, 0.00347, 0.00373, 0.00402, 0.00423, 0.00431, 0.00423, 0.00402, 0.00375, 0.00347, 0.00326, 0.00312, 0.00306, 0.00304, 0.00305, 0.00312, + 0.00325, 17.32144, 0.00387, 0.00429, 0.00469, 0.00496, 0.00507, 0.00496, 0.00469, 0.00429, 0.00387, 0.00350, 0.00323, 0.00307, 0.00300, 0.00298, 0.00298, 0.00298, 0.00300, 0.00307, 0.00323, 0.00362, 0.00414, 0.00476, 0.00541, 0.00597, 0.00636, 0.00649, 0.00636, 0.00597, 0.00541, 0.00476, 0.00414, 0.00362, 0.00326, 0.00306, 0.00301, 0.00303, 0.00307, 0.00309, 0.00307, + 0.00303, 0.00301, 0.00306, 0.00326, 0.00396, 0.00496, 0.00623, 0.00757, 0.00932, 0.01212, 0.01306, 0.01212, 0.00932, 0.00757, 0.00623, 0.00496, 0.00396, 0.00333, 0.00307, 0.00311, 0.00332, 0.00351, 0.00358, 0.00351, 0.00332, 0.00311, 0.00307, 0.00333, 0.00480, 0.00721, 0.01041, 0.01673, 0.02160, 0.02466, 0.02571, 0.02466, 0.02160, 0.01673, 0.01041, 0.00721, 0.00480, + 0.00345, 0.00316, 0.00355, 0.00329, 0.00312, 0.00307, 0.00312, 0.00329, 0.00355, 0.00316, 0.00345, 0.00663, 0.01908, 0.03365, 0.04205, 0.04518, 0.04231, 0.03365, 0.02014, 0.00663, 0.00331, 0.00295, 0.00261, 0.00252, 0.00260, 0.00295, 0.00339, 0.01078, 0.05156, 0.05158, 0.05159, 0.05158, 0.05156, 0.01078, 0.00233, 0.00207, 0.00201, 0.00207, 0.00233, 0.00285, 0.00285, + 0.00304, 0.00314, 0.00304, 0.00285, 0.00269, 0.00263, 0.00269, 0.00285, 0.00307, 0.00330, 0.00347, 0.00354, 0.00348, 0.00330, 0.00308, 0.00285, 0.00268, 0.00256, 0.00251, 0.00249, 0.00251, 0.00256, 0.00267, 0.00288, 19.91310, 0.00353, 0.00385, 0.00408, 0.00416, 0.00408, 0.00385, 0.00353, 0.00318, 0.00288, 0.00265, 0.00252, 0.00246, 0.00245, 0.00245, 0.00245, 0.00246, + 0.00252, 0.00265, 0.00297, 0.00340, 0.00391, 0.00444, 0.00491, 0.00522, 0.00534, 0.00522, 0.00491, 0.00444, 0.00391, 0.00340, 0.00297, 0.00268, 0.00252, 0.00247, 0.00249, 0.00253, 0.00254, 0.00253, 0.00249, 0.00247, 0.00252, 0.00268, 0.00325, 0.00407, 0.00512, 0.00622, 0.00766, 0.00996, 0.01073, 0.00996, 0.00766, 0.00622, 0.00512, 0.00407, 0.00325, 0.00273, 0.00253, + 0.00256, 0.00272, 0.00288, 0.00294, 0.00288, 0.00272, 0.00256, 0.00253, 0.00273, 0.00394, 0.00592, 0.00855, 0.01375, 0.01775, 0.02026, 0.02112, 0.02026, 0.01775, 0.01375, 0.00855, 0.00592, 0.00394, 0.00284, 0.00260, 0.00291, 0.00270, 0.00257, 0.00252, 0.00257, 0.00270, 0.00291, 0.00260, 0.00284, 0.00544, 0.01567, 0.02764, 0.03455, 0.03712, 0.03476, 0.02764, 0.01654, + 0.00544, 0.00272, 0.00242, 0.00214, 0.00207, 0.00213, 0.00242, 0.00278, 0.00886, 0.04236, 0.04238, 0.04238, 0.04238, 0.04236, 0.00886, 0.00191, 0.00170, 0.00165, 0.00170, 0.00191, 0.00229, 0.00229, 0.00245, 0.00252, 0.00245, 0.00229, 0.00216, 0.00212, 0.00216, 0.00229, 0.00247, 0.00265, 0.00279, 0.00285, 0.00280, 0.00265, 0.00248, 0.00229, 0.00215, 0.00206, 0.00202, + 0.00201, 0.00202, 0.00206, 0.00215, 0.00231, 0.00256, 22.25101, 0.00310, 0.00328, 0.00335, 0.00328, 0.00310, 0.00284, 0.00256, 0.00231, 0.00213, 0.00203, 0.00198, 0.00197, 0.00197, 0.00197, 0.00198, 0.00203, 0.00213, 0.00239, 0.00273, 0.00315, 0.00357, 0.00395, 0.00420, 0.00429, 0.00420, 0.00395, 0.00357, 0.00315, 0.00273, 0.00239, 0.00215, 0.00202, 0.00199, 0.00200, + 0.00203, 0.00204, 0.00203, 0.00200, 0.00199, 0.00202, 0.00215, 0.00261, 0.00328, 0.00411, 0.00500, 0.00616, 0.00801, 0.00863, 0.00801, 0.00616, 0.00500, 0.00411, 0.00328, 0.00261, 0.00220, 0.00203, 0.00206, 0.00219, 0.00232, 0.00236, 0.00232, 0.00219, 0.00206, 0.00203, 0.00220, 0.00317, 0.00476, 0.00688, 0.01105, 0.01427, 0.01629, 0.01698, 0.01629, 0.01427, 0.01105, + 0.00688, 0.00476, 0.00317, 0.00228, 0.00209, 0.00234, 0.00217, 0.00206, 0.00203, 0.00206, 0.00217, 0.00234, 0.00209, 0.00228, 0.00438, 0.01260, 0.02223, 0.02778, 0.02985, 0.02795, 0.02223, 0.01330, 0.00438, 0.00219, 0.00195, 0.00172, 0.00167, 0.00172, 0.00195, 0.00224, 0.00712, 0.03406, 0.03408, 0.03408, 0.03408, 0.03406, 0.00712, 0.00154, 0.00137, 0.00132, 0.00137, + 0.00154, 0.00185, 0.00185, 0.00197, 0.00203, 0.00197, 0.00185, 0.00174, 0.00171, 0.00174, 0.00185, 0.00199, 0.00214, 0.00225, 0.00230, 0.00226, 0.00214, 0.00200, 0.00185, 0.00174, 0.00166, 0.00163, 0.00162, 0.00163, 0.00166, 0.00173, 0.00187, 0.00206, 0.00229, 24.10632, 0.00265, 0.00270, 0.00265, 0.00250, 0.00229, 0.00206, 0.00187, 0.00172, 0.00164, 0.00160, 0.00159, + 0.00159, 0.00159, 0.00160, 0.00164, 0.00172, 0.00193, 0.00221, 0.00254, 0.00288, 0.00318, 0.00339, 0.00346, 0.00339, 0.00318, 0.00288, 0.00254, 0.00221, 0.00193, 0.00174, 0.00163, 0.00160, 0.00161, 0.00164, 0.00165, 0.00164, 0.00161, 0.00160, 0.00163, 0.00174, 0.00211, 0.00264, 0.00332, 0.00404, 0.00497, 0.00646, 0.00696, 0.00646, 0.00497, 0.00404, 0.00332, 0.00264, + 0.00211, 0.00177, 0.00164, 0.00166, 0.00177, 0.00187, 0.00191, 0.00187, 0.00177, 0.00166, 0.00164, 0.00177, 0.00256, 0.00384, 0.00555, 0.00892, 0.01151, 0.01314, 0.01370, 0.01314, 0.01151, 0.00892, 0.00555, 0.00384, 0.00256, 0.00184, 0.00168, 0.00189, 0.00175, 0.00167, 0.00164, 0.00167, 0.00175, 0.00189, 0.00168, 0.00184, 0.00353, 0.01017, 0.01793, 0.02241, 0.02408, + 0.02255, 0.01793, 0.01073, 0.00353, 0.00176, 0.00157, 0.00139, 0.00134, 0.00138, 0.00157, 0.00180, 0.00575, 0.02747, 0.02749, 0.02749, 0.02749, 0.02747, 0.00575, 0.00124, 0.00110, 0.00107, 0.00110, 0.00124, 0.00156, 0.00156, 0.00167, 0.00172, 0.00167, 0.00156, 0.00147, 0.00144, 0.00147, 0.00156, 0.00168, 0.00181, 0.00191, 0.00194, 0.00191, 0.00181, 0.00169, 0.00156, + 0.00147, 0.00141, 0.00138, 0.00137, 0.00138, 0.00141, 0.00147, 0.00158, 0.00175, 0.00194, 0.00211, 25.29746, 0.00228, 0.00224, 0.00211, 0.00194, 0.00175, 0.00158, 0.00146, 0.00138, 0.00135, 0.00134, 0.00134, 0.00134, 0.00135, 0.00138, 0.00146, 0.00163, 0.00187, 0.00215, 0.00244, 0.00269, 0.00287, 0.00293, 0.00287, 0.00269, 0.00244, 0.00215, 0.00187, 0.00163, 0.00147, + 0.00138, 0.00136, 0.00137, 0.00139, 0.00140, 0.00139, 0.00137, 0.00136, 0.00138, 0.00147, 0.00178, 0.00224, 0.00281, 0.00341, 0.00420, 0.00547, 0.00589, 0.00547, 0.00420, 0.00341, 0.00281, 0.00224, 0.00178, 0.00150, 0.00139, 0.00140, 0.00150, 0.00158, 0.00161, 0.00158, 0.00150, 0.00140, 0.00139, 0.00150, 0.00216, 0.00325, 0.00469, 0.00754, 0.00974, 0.01112, 0.01159, + 0.01112, 0.00974, 0.00754, 0.00469, 0.00325, 0.00216, 0.00156, 0.00142, 0.00160, 0.00148, 0.00141, 0.00138, 0.00141, 0.00148, 0.00160, 0.00142, 0.00156, 0.00299, 0.00860, 0.01517, 0.01896, 0.02037, 0.01908, 0.01517, 0.00908, 0.00299, 0.00149, 0.00133, 0.00118, 0.00114, 0.00117, 0.00133, 0.00153, 0.00486, 0.02325, 0.02326, 0.02326, 0.02326, 0.02325, 0.00486, 0.00105, + 0.00093, 0.00090, 0.00093, 0.00105, 0.00146, 0.00146, 0.00157, 0.00161, 0.00157, 0.00146, 0.00138, 0.00135, 0.00138, 0.00147, 0.00158, 0.00170, 0.00179, 0.00182, 0.00179, 0.00170, 0.00158, 0.00147, 0.00138, 0.00132, 0.00129, 0.00128, 0.00129, 0.00132, 0.00137, 0.00148, 0.00164, 0.00181, 0.00198, 0.00210, 25.70789, 0.00210, 0.00198, 0.00181, 0.00164, 0.00148, 0.00136, + 0.00130, 0.00127, 0.00126, 0.00126, 0.00126, 0.00127, 0.00130, 0.00136, 0.00153, 0.00175, 0.00201, 0.00229, 0.00252, 0.00269, 0.00274, 0.00269, 0.00252, 0.00229, 0.00201, 0.00175, 0.00153, 0.00138, 0.00129, 0.00127, 0.00128, 0.00130, 0.00131, 0.00130, 0.00128, 0.00127, 0.00129, 0.00138, 0.00167, 0.00210, 0.00263, 0.00320, 0.00394, 0.00512, 0.00552, 0.00512, 0.00394, + 0.00320, 0.00263, 0.00210, 0.00167, 0.00141, 0.00130, 0.00132, 0.00140, 0.00148, 0.00151, 0.00148, 0.00140, 0.00132, 0.00130, 0.00141, 0.00203, 0.00305, 0.00440, 0.00707, 0.00913, 0.01042, 0.01087, 0.01042, 0.00913, 0.00707, 0.00440, 0.00305, 0.00203, 0.00146, 0.00134, 0.00150, 0.00139, 0.00132, 0.00130, 0.00132, 0.00139, 0.00150, 0.00134, 0.00146, 0.00280, 0.00806, + 0.01422, 0.01777, 0.01910, 0.01788, 0.01422, 0.00851, 0.00280, 0.00140, 0.00124, 0.00110, 0.00107, 0.00110, 0.00124, 0.00143, 0.00456, 0.02179, 0.02180, 0.02180, 0.02180, 0.02179, 0.00456, 0.00098, 0.00088, 0.00085, 0.00088, 0.00098, 0.00156, 0.00156, 0.00167, 0.00172, 0.00167, 0.00156, 0.00147, 0.00144, 0.00147, 0.00156, 0.00168, 0.00181, 0.00191, 0.00194, 0.00191, + 0.00181, 0.00169, 0.00156, 0.00147, 0.00141, 0.00138, 0.00137, 0.00138, 0.00141, 0.00147, 0.00158, 0.00175, 0.00194, 0.00211, 0.00224, 0.00228, 25.29746, 0.00211, 0.00194, 0.00175, 0.00158, 0.00146, 0.00138, 0.00135, 0.00134, 0.00134, 0.00134, 0.00135, 0.00138, 0.00146, 0.00163, 0.00187, 0.00215, 0.00244, 0.00269, 0.00287, 0.00293, 0.00287, 0.00269, 0.00244, 0.00215, + 0.00187, 0.00163, 0.00147, 0.00138, 0.00136, 0.00137, 0.00139, 0.00140, 0.00139, 0.00137, 0.00136, 0.00138, 0.00147, 0.00178, 0.00224, 0.00281, 0.00341, 0.00420, 0.00547, 0.00589, 0.00547, 0.00420, 0.00341, 0.00281, 0.00224, 0.00178, 0.00150, 0.00139, 0.00140, 0.00150, 0.00158, 0.00161, 0.00158, 0.00150, 0.00140, 0.00139, 0.00150, 0.00216, 0.00325, 0.00469, 0.00754, + 0.00974, 0.01112, 0.01159, 0.01112, 0.00974, 0.00754, 0.00469, 0.00325, 0.00216, 0.00156, 0.00142, 0.00160, 0.00148, 0.00141, 0.00138, 0.00141, 0.00148, 0.00160, 0.00142, 0.00156, 0.00299, 0.00860, 0.01517, 0.01896, 0.02037, 0.01908, 0.01517, 0.00908, 0.00299, 0.00149, 0.00133, 0.00118, 0.00114, 0.00117, 0.00133, 0.00153, 0.00486, 0.02325, 0.02326, 0.02326, 0.02326, + 0.02325, 0.00486, 0.00105, 0.00093, 0.00090, 0.00093, 0.00105, 0.00185, 0.00185, 0.00197, 0.00203, 0.00197, 0.00185, 0.00174, 0.00171, 0.00174, 0.00185, 0.00199, 0.00214, 0.00225, 0.00230, 0.00226, 0.00214, 0.00200, 0.00185, 0.00174, 0.00166, 0.00163, 0.00162, 0.00163, 0.00166, 0.00173, 0.00187, 0.00206, 0.00229, 0.00250, 0.00265, 0.00270, 0.00265, 24.10632, 0.00229, + 0.00206, 0.00187, 0.00172, 0.00164, 0.00160, 0.00159, 0.00159, 0.00159, 0.00160, 0.00164, 0.00172, 0.00193, 0.00221, 0.00254, 0.00288, 0.00318, 0.00339, 0.00346, 0.00339, 0.00318, 0.00288, 0.00254, 0.00221, 0.00193, 0.00174, 0.00163, 0.00160, 0.00161, 0.00164, 0.00165, 0.00164, 0.00161, 0.00160, 0.00163, 0.00174, 0.00211, 0.00264, 0.00332, 0.00404, 0.00497, 0.00646, + 0.00696, 0.00646, 0.00497, 0.00404, 0.00332, 0.00264, 0.00211, 0.00177, 0.00164, 0.00166, 0.00177, 0.00187, 0.00191, 0.00187, 0.00177, 0.00166, 0.00164, 0.00177, 0.00256, 0.00384, 0.00555, 0.00892, 0.01151, 0.01314, 0.01370, 0.01314, 0.01151, 0.00892, 0.00555, 0.00384, 0.00256, 0.00184, 0.00168, 0.00189, 0.00175, 0.00167, 0.00164, 0.00167, 0.00175, 0.00189, 0.00168, + 0.00184, 0.00353, 0.01017, 0.01793, 0.02241, 0.02408, 0.02255, 0.01793, 0.01073, 0.00353, 0.00176, 0.00157, 0.00139, 0.00134, 0.00138, 0.00157, 0.00180, 0.00575, 0.02747, 0.02749, 0.02749, 0.02749, 0.02747, 0.00575, 0.00124, 0.00110, 0.00107, 0.00110, 0.00124, 0.00229, 0.00229, 0.00245, 0.00252, 0.00245, 0.00229, 0.00216, 0.00212, 0.00216, 0.00229, 0.00247, 0.00265, + 0.00279, 0.00285, 0.00280, 0.00265, 0.00248, 0.00229, 0.00215, 0.00206, 0.00202, 0.00201, 0.00202, 0.00206, 0.00215, 0.00231, 0.00256, 0.00284, 0.00310, 0.00328, 0.00335, 0.00328, 0.00310, 22.25101, 0.00256, 0.00231, 0.00213, 0.00203, 0.00198, 0.00197, 0.00197, 0.00197, 0.00198, 0.00203, 0.00213, 0.00239, 0.00273, 0.00315, 0.00357, 0.00395, 0.00420, 0.00429, 0.00420, + 0.00395, 0.00357, 0.00315, 0.00273, 0.00239, 0.00215, 0.00202, 0.00199, 0.00200, 0.00203, 0.00204, 0.00203, 0.00200, 0.00199, 0.00202, 0.00215, 0.00261, 0.00328, 0.00411, 0.00500, 0.00616, 0.00801, 0.00863, 0.00801, 0.00616, 0.00500, 0.00411, 0.00328, 0.00261, 0.00220, 0.00203, 0.00206, 0.00219, 0.00232, 0.00236, 0.00232, 0.00219, 0.00206, 0.00203, 0.00220, 0.00317, + 0.00476, 0.00688, 0.01105, 0.01427, 0.01629, 0.01698, 0.01629, 0.01427, 0.01105, 0.00688, 0.00476, 0.00317, 0.00228, 0.00209, 0.00234, 0.00217, 0.00206, 0.00203, 0.00206, 0.00217, 0.00234, 0.00209, 0.00228, 0.00438, 0.01260, 0.02223, 0.02778, 0.02985, 0.02795, 0.02223, 0.01330, 0.00438, 0.00219, 0.00195, 0.00172, 0.00167, 0.00172, 0.00195, 0.00224, 0.00712, 0.03406, + 0.03408, 0.03408, 0.03408, 0.03406, 0.00712, 0.00154, 0.00137, 0.00132, 0.00137, 0.00154, 0.00285, 0.00285, 0.00304, 0.00314, 0.00304, 0.00285, 0.00269, 0.00263, 0.00269, 0.00285, 0.00307, 0.00330, 0.00347, 0.00354, 0.00348, 0.00330, 0.00308, 0.00285, 0.00268, 0.00256, 0.00251, 0.00249, 0.00251, 0.00256, 0.00267, 0.00288, 0.00318, 0.00353, 0.00385, 0.00408, 0.00416, + 0.00408, 0.00385, 0.00353, 19.91310, 0.00288, 0.00265, 0.00252, 0.00246, 0.00245, 0.00245, 0.00245, 0.00246, 0.00252, 0.00265, 0.00297, 0.00340, 0.00391, 0.00444, 0.00491, 0.00522, 0.00534, 0.00522, 0.00491, 0.00444, 0.00391, 0.00340, 0.00297, 0.00268, 0.00252, 0.00247, 0.00249, 0.00253, 0.00254, 0.00253, 0.00249, 0.00247, 0.00252, 0.00268, 0.00325, 0.00407, 0.00512, + 0.00622, 0.00766, 0.00996, 0.01073, 0.00996, 0.00766, 0.00622, 0.00512, 0.00407, 0.00325, 0.00273, 0.00253, 0.00256, 0.00272, 0.00288, 0.00294, 0.00288, 0.00272, 0.00256, 0.00253, 0.00273, 0.00394, 0.00592, 0.00855, 0.01375, 0.01775, 0.02026, 0.02112, 0.02026, 0.01775, 0.01375, 0.00855, 0.00592, 0.00394, 0.00284, 0.00260, 0.00291, 0.00270, 0.00257, 0.00252, 0.00257, + 0.00270, 0.00291, 0.00260, 0.00284, 0.00544, 0.01567, 0.02764, 0.03455, 0.03712, 0.03476, 0.02764, 0.01654, 0.00544, 0.00272, 0.00242, 0.00214, 0.00207, 0.00213, 0.00242, 0.00278, 0.00886, 0.04236, 0.04238, 0.04238, 0.04238, 0.04236, 0.00886, 0.00191, 0.00170, 0.00165, 0.00170, 0.00191, 0.00346, 0.00346, 0.00370, 0.00382, 0.00370, 0.00346, 0.00327, 0.00320, 0.00327, + 0.00347, 0.00373, 0.00402, 0.00423, 0.00431, 0.00423, 0.00402, 0.00375, 0.00347, 0.00326, 0.00312, 0.00306, 0.00304, 0.00305, 0.00312, 0.00325, 0.00350, 0.00387, 0.00429, 0.00469, 0.00496, 0.00507, 0.00496, 0.00469, 0.00429, 0.00387, 17.32144, 0.00323, 0.00307, 0.00300, 0.00298, 0.00298, 0.00298, 0.00300, 0.00307, 0.00323, 0.00362, 0.00414, 0.00476, 0.00541, 0.00597, + 0.00636, 0.00649, 0.00636, 0.00597, 0.00541, 0.00476, 0.00414, 0.00362, 0.00326, 0.00306, 0.00301, 0.00303, 0.00307, 0.00309, 0.00307, 0.00303, 0.00301, 0.00306, 0.00326, 0.00396, 0.00496, 0.00623, 0.00757, 0.00932, 0.01212, 0.01306, 0.01212, 0.00932, 0.00757, 0.00623, 0.00496, 0.00396, 0.00333, 0.00307, 0.00311, 0.00332, 0.00351, 0.00358, 0.00351, 0.00332, 0.00311, + 0.00307, 0.00333, 0.00480, 0.00721, 0.01041, 0.01673, 0.02160, 0.02466, 0.02571, 0.02466, 0.02160, 0.01673, 0.01041, 0.00721, 0.00480, 0.00345, 0.00316, 0.00355, 0.00329, 0.00312, 0.00307, 0.00312, 0.00329, 0.00355, 0.00316, 0.00345, 0.00663, 0.01908, 0.03365, 0.04205, 0.04518, 0.04231, 0.03365, 0.02014, 0.00663, 0.00331, 0.00295, 0.00261, 0.00252, 0.00260, 0.00295, + 0.00339, 0.01078, 0.05156, 0.05158, 0.05159, 0.05158, 0.05156, 0.01078, 0.00233, 0.00207, 0.00201, 0.00207, 0.00233, 0.00408, 0.00408, 0.00436, 0.00450, 0.00436, 0.00408, 0.00385, 0.00378, 0.00385, 0.00409, 0.00440, 0.00474, 0.00498, 0.00508, 0.00499, 0.00474, 0.00442, 0.00409, 0.00384, 0.00368, 0.00360, 0.00358, 0.00360, 0.00368, 0.00383, 0.00412, 0.00456, 0.00506, + 0.00552, 0.00585, 0.00597, 0.00585, 0.00552, 0.00506, 0.00456, 0.00412, 14.72977, 0.00362, 0.00353, 0.00351, 0.00351, 0.00351, 0.00353, 0.00362, 0.00380, 0.00427, 0.00488, 0.00561, 0.00637, 0.00704, 0.00749, 0.00765, 0.00749, 0.00704, 0.00637, 0.00561, 0.00488, 0.00427, 0.00384, 0.00361, 0.00354, 0.00357, 0.00362, 0.00365, 0.00362, 0.00357, 0.00354, 0.00361, 0.00384, + 0.00466, 0.00584, 0.00734, 0.00892, 0.01098, 0.01428, 0.01540, 0.01428, 0.01098, 0.00892, 0.00734, 0.00584, 0.00466, 0.00392, 0.00362, 0.00367, 0.00391, 0.00414, 0.00421, 0.00414, 0.00391, 0.00367, 0.00362, 0.00392, 0.00565, 0.00849, 0.01227, 0.01972, 0.02546, 0.02907, 0.03030, 0.02907, 0.02546, 0.01972, 0.01227, 0.00849, 0.00565, 0.00407, 0.00372, 0.00418, 0.00387, + 0.00368, 0.00362, 0.00368, 0.00387, 0.00418, 0.00372, 0.00407, 0.00781, 0.02248, 0.03965, 0.04955, 0.05324, 0.04986, 0.03965, 0.02373, 0.00781, 0.00390, 0.00347, 0.00307, 0.00297, 0.00306, 0.00347, 0.00399, 0.01271, 0.06075, 0.06079, 0.06079, 0.06079, 0.06075, 0.01271, 0.00275, 0.00244, 0.00236, 0.00244, 0.00275, 0.00464, 0.00464, 0.00496, 0.00511, 0.00496, 0.00464, + 0.00438, 0.00429, 0.00438, 0.00464, 0.00500, 0.00538, 0.00566, 0.00577, 0.00567, 0.00538, 0.00502, 0.00464, 0.00436, 0.00418, 0.00409, 0.00407, 0.00409, 0.00418, 0.00435, 0.00469, 0.00519, 0.00575, 0.00628, 0.00665, 0.00678, 0.00665, 0.00628, 0.00575, 0.00519, 0.00469, 0.00432, 12.39183, 0.00402, 0.00399, 0.00399, 0.00399, 0.00402, 0.00411, 0.00432, 0.00485, 0.00554, + 0.00638, 0.00724, 0.00800, 0.00851, 0.00870, 0.00851, 0.00800, 0.00724, 0.00638, 0.00554, 0.00485, 0.00436, 0.00410, 0.00403, 0.00406, 0.00412, 0.00415, 0.00412, 0.00406, 0.00403, 0.00410, 0.00436, 0.00530, 0.00664, 0.00834, 0.01014, 0.01248, 0.01623, 0.01750, 0.01623, 0.01248, 0.01014, 0.00834, 0.00664, 0.00530, 0.00446, 0.00412, 0.00417, 0.00444, 0.00470, 0.00479, + 0.00470, 0.00444, 0.00417, 0.00412, 0.00446, 0.00642, 0.00965, 0.01394, 0.02241, 0.02893, 0.03303, 0.03443, 0.03303, 0.02893, 0.02241, 0.01394, 0.00965, 0.00642, 0.00462, 0.00423, 0.00475, 0.00440, 0.00419, 0.00411, 0.00419, 0.00440, 0.00475, 0.00423, 0.00462, 0.00888, 0.02555, 0.04506, 0.05632, 0.06052, 0.05667, 0.04506, 0.02697, 0.00888, 0.00444, 0.00395, 0.00349, + 0.00338, 0.00348, 0.00395, 0.00453, 0.01444, 0.06905, 0.06909, 0.06909, 0.06909, 0.06905, 0.01444, 0.00312, 0.00277, 0.00269, 0.00277, 0.00312, 0.00508, 0.00508, 0.00543, 0.00560, 0.00543, 0.00508, 0.00480, 0.00470, 0.00480, 0.00509, 0.00548, 0.00590, 0.00620, 0.00632, 0.00621, 0.00590, 0.00550, 0.00509, 0.00478, 0.00458, 0.00448, 0.00445, 0.00448, 0.00458, 0.00477, + 0.00514, 0.00568, 0.00630, 0.00687, 0.00728, 0.00743, 0.00728, 0.00687, 0.00630, 0.00568, 0.00514, 0.00474, 0.00450, 10.53647, 0.00437, 0.00437, 0.00437, 0.00440, 0.00450, 0.00474, 0.00531, 0.00607, 0.00699, 0.00793, 0.00876, 0.00933, 0.00953, 0.00933, 0.00876, 0.00793, 0.00699, 0.00607, 0.00531, 0.00478, 0.00449, 0.00441, 0.00444, 0.00451, 0.00454, 0.00451, 0.00444, + 0.00441, 0.00449, 0.00478, 0.00581, 0.00728, 0.00914, 0.01111, 0.01367, 0.01778, 0.01917, 0.01778, 0.01367, 0.01111, 0.00914, 0.00728, 0.00581, 0.00488, 0.00451, 0.00457, 0.00486, 0.00515, 0.00525, 0.00515, 0.00486, 0.00457, 0.00451, 0.00488, 0.00703, 0.01057, 0.01527, 0.02455, 0.03169, 0.03619, 0.03772, 0.03619, 0.03169, 0.02455, 0.01527, 0.01057, 0.00703, 0.00506, + 0.00464, 0.00520, 0.00482, 0.00458, 0.00450, 0.00458, 0.00482, 0.00520, 0.00464, 0.00506, 0.00972, 0.02799, 0.04936, 0.06169, 0.06629, 0.06208, 0.04936, 0.02954, 0.00972, 0.00486, 0.00432, 0.00383, 0.00370, 0.00381, 0.00432, 0.00497, 0.01582, 0.07564, 0.07568, 0.07568, 0.07568, 0.07564, 0.01582, 0.00342, 0.00304, 0.00294, 0.00304, 0.00342, 0.00537, 0.00536, 0.00574, + 0.00591, 0.00574, 0.00536, 0.00507, 0.00496, 0.00507, 0.00537, 0.00578, 0.00623, 0.00655, 0.00667, 0.00656, 0.00623, 0.00580, 0.00537, 0.00505, 0.00483, 0.00473, 0.00470, 0.00473, 0.00483, 0.00504, 0.00542, 0.00600, 0.00665, 0.00726, 0.00769, 0.00785, 0.00769, 0.00726, 0.00665, 0.00600, 0.00542, 0.00500, 0.00475, 0.00465, 9.34529, 0.00462, 0.00462, 0.00465, 0.00475, + 0.00500, 0.00561, 0.00641, 0.00738, 0.00838, 0.00925, 0.00985, 0.01006, 0.00985, 0.00925, 0.00838, 0.00738, 0.00641, 0.00561, 0.00505, 0.00475, 0.00466, 0.00469, 0.00476, 0.00479, 0.00476, 0.00469, 0.00466, 0.00475, 0.00505, 0.00613, 0.00768, 0.00965, 0.01173, 0.01444, 0.01878, 0.02024, 0.01878, 0.01444, 0.01173, 0.00965, 0.00768, 0.00613, 0.00515, 0.00476, 0.00482, + 0.00514, 0.00544, 0.00554, 0.00544, 0.00514, 0.00482, 0.00476, 0.00515, 0.00743, 0.01116, 0.01613, 0.02592, 0.03346, 0.03821, 0.03983, 0.03821, 0.03346, 0.02592, 0.01613, 0.01116, 0.00743, 0.00535, 0.00489, 0.00549, 0.00509, 0.00484, 0.00475, 0.00484, 0.00509, 0.00549, 0.00489, 0.00535, 0.01027, 0.02955, 0.05212, 0.06514, 0.06999, 0.06555, 0.05212, 0.03119, 0.01027, + 0.00513, 0.00456, 0.00404, 0.00390, 0.00403, 0.00456, 0.00524, 0.01670, 0.07986, 0.07991, 0.07991, 0.07991, 0.07986, 0.01670, 0.00361, 0.00321, 0.00311, 0.00321, 0.00361, 0.00546, 0.00546, 0.00584, 0.00602, 0.00584, 0.00546, 0.00516, 0.00505, 0.00516, 0.00547, 0.00589, 0.00634, 0.00666, 0.00679, 0.00668, 0.00634, 0.00591, 0.00547, 0.00514, 0.00492, 0.00482, 0.00479, + 0.00482, 0.00492, 0.00513, 0.00552, 0.00611, 0.00677, 0.00739, 0.00783, 0.00799, 0.00783, 0.00739, 0.00677, 0.00611, 0.00552, 0.00509, 0.00484, 0.00473, 0.00470, 8.93484, 0.00470, 0.00473, 0.00484, 0.00509, 0.00571, 0.00653, 0.00751, 0.00853, 0.00942, 0.01003, 0.01024, 0.01003, 0.00942, 0.00853, 0.00751, 0.00653, 0.00571, 0.00514, 0.00483, 0.00474, 0.00478, 0.00485, + 0.00488, 0.00485, 0.00478, 0.00474, 0.00483, 0.00514, 0.00624, 0.00782, 0.00982, 0.01194, 0.01470, 0.01912, 0.02061, 0.01912, 0.01470, 0.01194, 0.00982, 0.00782, 0.00624, 0.00525, 0.00485, 0.00491, 0.00523, 0.00554, 0.00564, 0.00554, 0.00523, 0.00491, 0.00485, 0.00525, 0.00756, 0.01137, 0.01642, 0.02639, 0.03407, 0.03891, 0.04055, 0.03891, 0.03407, 0.02639, 0.01642, + 0.01137, 0.00756, 0.00544, 0.00498, 0.00559, 0.00518, 0.00493, 0.00484, 0.00493, 0.00518, 0.00559, 0.00498, 0.00544, 0.01045, 0.03009, 0.05307, 0.06633, 0.07127, 0.06674, 0.05307, 0.03176, 0.01045, 0.00522, 0.00465, 0.00412, 0.00398, 0.00410, 0.00465, 0.00534, 0.01701, 0.08132, 0.08136, 0.08137, 0.08136, 0.08132, 0.01701, 0.00367, 0.00327, 0.00316, 0.00327, 0.00367, + 0.00537, 0.00536, 0.00574, 0.00591, 0.00574, 0.00536, 0.00507, 0.00496, 0.00507, 0.00537, 0.00578, 0.00623, 0.00655, 0.00667, 0.00656, 0.00623, 0.00580, 0.00537, 0.00505, 0.00483, 0.00473, 0.00470, 0.00473, 0.00483, 0.00504, 0.00542, 0.00600, 0.00665, 0.00726, 0.00769, 0.00785, 0.00769, 0.00726, 0.00665, 0.00600, 0.00542, 0.00500, 0.00475, 0.00465, 0.00462, 0.00462, + 9.34529, 0.00465, 0.00475, 0.00500, 0.00561, 0.00641, 0.00738, 0.00838, 0.00925, 0.00985, 0.01006, 0.00985, 0.00925, 0.00838, 0.00738, 0.00641, 0.00561, 0.00505, 0.00475, 0.00466, 0.00469, 0.00476, 0.00479, 0.00476, 0.00469, 0.00466, 0.00475, 0.00505, 0.00613, 0.00768, 0.00965, 0.01173, 0.01444, 0.01878, 0.02024, 0.01878, 0.01444, 0.01173, 0.00965, 0.00768, 0.00613, + 0.00515, 0.00476, 0.00482, 0.00514, 0.00544, 0.00554, 0.00544, 0.00514, 0.00482, 0.00476, 0.00515, 0.00743, 0.01116, 0.01613, 0.02592, 0.03346, 0.03821, 0.03983, 0.03821, 0.03346, 0.02592, 0.01613, 0.01116, 0.00743, 0.00535, 0.00489, 0.00549, 0.00509, 0.00484, 0.00475, 0.00484, 0.00509, 0.00549, 0.00489, 0.00535, 0.01027, 0.02955, 0.05212, 0.06514, 0.06999, 0.06555, + 0.05212, 0.03119, 0.01027, 0.00513, 0.00456, 0.00404, 0.00390, 0.00403, 0.00456, 0.00524, 0.01670, 0.07986, 0.07991, 0.07991, 0.07991, 0.07986, 0.01670, 0.00361, 0.00321, 0.00311, 0.00321, 0.00361, 0.00508, 0.00508, 0.00543, 0.00560, 0.00543, 0.00508, 0.00480, 0.00470, 0.00480, 0.00509, 0.00548, 0.00590, 0.00620, 0.00632, 0.00621, 0.00590, 0.00550, 0.00509, 0.00478, + 0.00458, 0.00448, 0.00445, 0.00448, 0.00458, 0.00477, 0.00514, 0.00568, 0.00630, 0.00687, 0.00728, 0.00743, 0.00728, 0.00687, 0.00630, 0.00568, 0.00514, 0.00474, 0.00450, 0.00440, 0.00437, 0.00437, 0.00437, 10.53647, 0.00450, 0.00474, 0.00531, 0.00607, 0.00699, 0.00793, 0.00876, 0.00933, 0.00953, 0.00933, 0.00876, 0.00793, 0.00699, 0.00607, 0.00531, 0.00478, 0.00449, + 0.00441, 0.00444, 0.00451, 0.00454, 0.00451, 0.00444, 0.00441, 0.00449, 0.00478, 0.00581, 0.00728, 0.00914, 0.01111, 0.01367, 0.01778, 0.01917, 0.01778, 0.01367, 0.01111, 0.00914, 0.00728, 0.00581, 0.00488, 0.00451, 0.00457, 0.00486, 0.00515, 0.00525, 0.00515, 0.00486, 0.00457, 0.00451, 0.00488, 0.00703, 0.01057, 0.01527, 0.02455, 0.03169, 0.03619, 0.03772, 0.03619, + 0.03169, 0.02455, 0.01527, 0.01057, 0.00703, 0.00506, 0.00464, 0.00520, 0.00482, 0.00458, 0.00450, 0.00458, 0.00482, 0.00520, 0.00464, 0.00506, 0.00972, 0.02799, 0.04936, 0.06169, 0.06629, 0.06208, 0.04936, 0.02954, 0.00972, 0.00486, 0.00432, 0.00383, 0.00370, 0.00381, 0.00432, 0.00497, 0.01582, 0.07564, 0.07568, 0.07568, 0.07568, 0.07564, 0.01582, 0.00342, 0.00304, + 0.00294, 0.00304, 0.00342, 0.00464, 0.00464, 0.00496, 0.00511, 0.00496, 0.00464, 0.00438, 0.00429, 0.00438, 0.00464, 0.00500, 0.00538, 0.00566, 0.00577, 0.00567, 0.00538, 0.00502, 0.00464, 0.00436, 0.00418, 0.00409, 0.00407, 0.00409, 0.00418, 0.00435, 0.00469, 0.00519, 0.00575, 0.00628, 0.00665, 0.00678, 0.00665, 0.00628, 0.00575, 0.00519, 0.00469, 0.00432, 0.00411, + 0.00402, 0.00399, 0.00399, 0.00399, 0.00402, 12.39183, 0.00432, 0.00485, 0.00554, 0.00638, 0.00724, 0.00800, 0.00851, 0.00870, 0.00851, 0.00800, 0.00724, 0.00638, 0.00554, 0.00485, 0.00436, 0.00410, 0.00403, 0.00406, 0.00412, 0.00415, 0.00412, 0.00406, 0.00403, 0.00410, 0.00436, 0.00530, 0.00664, 0.00834, 0.01014, 0.01248, 0.01623, 0.01750, 0.01623, 0.01248, 0.01014, + 0.00834, 0.00664, 0.00530, 0.00446, 0.00412, 0.00417, 0.00444, 0.00470, 0.00479, 0.00470, 0.00444, 0.00417, 0.00412, 0.00446, 0.00642, 0.00965, 0.01394, 0.02241, 0.02893, 0.03303, 0.03443, 0.03303, 0.02893, 0.02241, 0.01394, 0.00965, 0.00642, 0.00462, 0.00423, 0.00475, 0.00440, 0.00419, 0.00411, 0.00419, 0.00440, 0.00475, 0.00423, 0.00462, 0.00888, 0.02555, 0.04506, + 0.05632, 0.06052, 0.05667, 0.04506, 0.02697, 0.00888, 0.00444, 0.00395, 0.00349, 0.00338, 0.00348, 0.00395, 0.00453, 0.01444, 0.06905, 0.06909, 0.06909, 0.06909, 0.06905, 0.01444, 0.00312, 0.00277, 0.00269, 0.00277, 0.00312, 0.00408, 0.00408, 0.00436, 0.00450, 0.00436, 0.00408, 0.00385, 0.00378, 0.00385, 0.00409, 0.00440, 0.00474, 0.00498, 0.00508, 0.00499, 0.00474, + 0.00442, 0.00409, 0.00384, 0.00368, 0.00360, 0.00358, 0.00360, 0.00368, 0.00383, 0.00412, 0.00456, 0.00506, 0.00552, 0.00585, 0.00597, 0.00585, 0.00552, 0.00506, 0.00456, 0.00412, 0.00380, 0.00362, 0.00353, 0.00351, 0.00351, 0.00351, 0.00353, 0.00362, 14.72977, 0.00427, 0.00488, 0.00561, 0.00637, 0.00704, 0.00749, 0.00765, 0.00749, 0.00704, 0.00637, 0.00561, 0.00488, + 0.00427, 0.00384, 0.00361, 0.00354, 0.00357, 0.00362, 0.00365, 0.00362, 0.00357, 0.00354, 0.00361, 0.00384, 0.00466, 0.00584, 0.00734, 0.00892, 0.01098, 0.01428, 0.01540, 0.01428, 0.01098, 0.00892, 0.00734, 0.00584, 0.00466, 0.00392, 0.00362, 0.00367, 0.00391, 0.00414, 0.00421, 0.00414, 0.00391, 0.00367, 0.00362, 0.00392, 0.00565, 0.00849, 0.01227, 0.01972, 0.02546, + 0.02907, 0.03030, 0.02907, 0.02546, 0.01972, 0.01227, 0.00849, 0.00565, 0.00407, 0.00372, 0.00418, 0.00387, 0.00368, 0.00362, 0.00368, 0.00387, 0.00418, 0.00372, 0.00407, 0.00781, 0.02248, 0.03965, 0.04955, 0.05324, 0.04986, 0.03965, 0.02373, 0.00781, 0.00390, 0.00347, 0.00307, 0.00297, 0.00306, 0.00347, 0.00399, 0.01271, 0.06075, 0.06079, 0.06079, 0.06079, 0.06075, + 0.01271, 0.00275, 0.00244, 0.00236, 0.00244, 0.00275, 0.00340, 0.00340, 0.00364, 0.00375, 0.00364, 0.00340, 0.00321, 0.00315, 0.00321, 0.00341, 0.00367, 0.00395, 0.00415, 0.00423, 0.00416, 0.00395, 0.00368, 0.00341, 0.00320, 0.00307, 0.00300, 0.00298, 0.00300, 0.00307, 0.00319, 0.00344, 0.00380, 0.00422, 0.00460, 0.00488, 0.00498, 0.00488, 0.00460, 0.00422, 0.00380, + 0.00344, 0.00317, 0.00301, 0.00295, 0.00293, 0.00293, 0.00293, 0.00295, 0.00301, 0.00317, 17.95635, 0.00407, 0.00468, 0.00531, 0.00587, 0.00625, 0.00638, 0.00625, 0.00587, 0.00531, 0.00468, 0.00407, 0.00356, 0.00320, 0.00301, 0.00295, 0.00298, 0.00302, 0.00304, 0.00302, 0.00298, 0.00295, 0.00301, 0.00320, 0.00389, 0.00487, 0.00612, 0.00744, 0.00916, 0.01191, 0.01284, + 0.01191, 0.00916, 0.00744, 0.00612, 0.00487, 0.00389, 0.00327, 0.00302, 0.00306, 0.00326, 0.00345, 0.00351, 0.00345, 0.00326, 0.00306, 0.00302, 0.00327, 0.00471, 0.00708, 0.01023, 0.01644, 0.02122, 0.02423, 0.02526, 0.02423, 0.02122, 0.01644, 0.01023, 0.00708, 0.00471, 0.00339, 0.00310, 0.00348, 0.00323, 0.00307, 0.00302, 0.00307, 0.00323, 0.00348, 0.00310, 0.00339, + 0.00651, 0.01874, 0.03305, 0.04131, 0.04439, 0.04157, 0.03305, 0.01978, 0.00651, 0.00325, 0.00289, 0.00256, 0.00248, 0.00255, 0.00289, 0.00333, 0.01059, 0.05065, 0.05067, 0.05068, 0.05067, 0.05065, 0.01059, 0.00229, 0.00203, 0.00197, 0.00203, 0.00229, 0.00266, 0.00266, 0.00285, 0.00294, 0.00285, 0.00266, 0.00252, 0.00246, 0.00252, 0.00267, 0.00287, 0.00309, 0.00325, + 0.00331, 0.00325, 0.00309, 0.00288, 0.00267, 0.00251, 0.00240, 0.00235, 0.00234, 0.00235, 0.00240, 0.00250, 0.00269, 0.00298, 0.00330, 0.00360, 0.00382, 0.00390, 0.00382, 0.00360, 0.00330, 0.00298, 0.00269, 0.00248, 0.00236, 0.00231, 0.00229, 0.00229, 0.00229, 0.00231, 0.00236, 0.00248, 0.00278, 21.22678, 0.00366, 0.00416, 0.00459, 0.00489, 0.00499, 0.00489, 0.00459, + 0.00416, 0.00366, 0.00318, 0.00278, 0.00251, 0.00236, 0.00231, 0.00233, 0.00236, 0.00238, 0.00236, 0.00233, 0.00231, 0.00236, 0.00251, 0.00304, 0.00381, 0.00479, 0.00582, 0.00717, 0.00932, 0.01005, 0.00932, 0.00717, 0.00582, 0.00479, 0.00381, 0.00304, 0.00256, 0.00236, 0.00239, 0.00255, 0.00270, 0.00275, 0.00270, 0.00255, 0.00239, 0.00236, 0.00256, 0.00369, 0.00554, + 0.00801, 0.01287, 0.01661, 0.01897, 0.01977, 0.01897, 0.01661, 0.01287, 0.00801, 0.00554, 0.00369, 0.00265, 0.00243, 0.00273, 0.00253, 0.00240, 0.00236, 0.00240, 0.00253, 0.00273, 0.00243, 0.00265, 0.00510, 0.01467, 0.02588, 0.03234, 0.03475, 0.03254, 0.02588, 0.01549, 0.00510, 0.00255, 0.00227, 0.00201, 0.00194, 0.00200, 0.00227, 0.00260, 0.00829, 0.03965, 0.03967, + 0.03967, 0.03967, 0.03965, 0.00829, 0.00179, 0.00159, 0.00154, 0.00159, 0.00179, 0.00198, 0.00197, 0.00211, 0.00218, 0.00211, 0.00197, 0.00186, 0.00183, 0.00186, 0.00198, 0.00213, 0.00229, 0.00241, 0.00246, 0.00241, 0.00229, 0.00214, 0.00198, 0.00186, 0.00178, 0.00174, 0.00173, 0.00174, 0.00178, 0.00185, 0.00200, 0.00221, 0.00245, 0.00267, 0.00283, 0.00289, 0.00283, + 0.00267, 0.00245, 0.00221, 0.00200, 0.00184, 0.00175, 0.00171, 0.00170, 0.00170, 0.00170, 0.00171, 0.00175, 0.00184, 0.00206, 0.00236, 24.27422, 0.00308, 0.00341, 0.00363, 0.00370, 0.00363, 0.00341, 0.00308, 0.00272, 0.00236, 0.00206, 0.00186, 0.00175, 0.00171, 0.00173, 0.00175, 0.00176, 0.00175, 0.00173, 0.00171, 0.00175, 0.00186, 0.00226, 0.00283, 0.00355, 0.00432, + 0.00531, 0.00691, 0.00745, 0.00691, 0.00531, 0.00432, 0.00355, 0.00283, 0.00226, 0.00190, 0.00175, 0.00178, 0.00189, 0.00200, 0.00204, 0.00200, 0.00189, 0.00178, 0.00175, 0.00190, 0.00273, 0.00411, 0.00594, 0.00954, 0.01232, 0.01406, 0.01466, 0.01406, 0.01232, 0.00954, 0.00594, 0.00411, 0.00273, 0.00197, 0.00180, 0.00202, 0.00187, 0.00178, 0.00175, 0.00178, 0.00187, + 0.00202, 0.00180, 0.00197, 0.00378, 0.01088, 0.01919, 0.02398, 0.02576, 0.02413, 0.01919, 0.01148, 0.00378, 0.00189, 0.00168, 0.00149, 0.00144, 0.00148, 0.00168, 0.00193, 0.00615, 0.02940, 0.02941, 0.02942, 0.02941, 0.02940, 0.00615, 0.00133, 0.00118, 0.00114, 0.00118, 0.00133, 0.00138, 0.00138, 0.00148, 0.00153, 0.00148, 0.00138, 0.00131, 0.00128, 0.00131, 0.00139, + 0.00149, 0.00161, 0.00169, 0.00172, 0.00169, 0.00161, 0.00150, 0.00139, 0.00130, 0.00125, 0.00122, 0.00121, 0.00122, 0.00125, 0.00130, 0.00140, 0.00155, 0.00172, 0.00187, 0.00198, 0.00202, 0.00198, 0.00187, 0.00172, 0.00155, 0.00140, 0.00129, 0.00123, 0.00120, 0.00119, 0.00119, 0.00119, 0.00120, 0.00123, 0.00129, 0.00145, 0.00165, 0.00190, 26.89096, 0.00239, 0.00254, + 0.00259, 0.00254, 0.00239, 0.00216, 0.00190, 0.00165, 0.00145, 0.00130, 0.00122, 0.00120, 0.00121, 0.00123, 0.00124, 0.00123, 0.00121, 0.00120, 0.00122, 0.00130, 0.00158, 0.00198, 0.00249, 0.00303, 0.00372, 0.00484, 0.00522, 0.00484, 0.00372, 0.00303, 0.00249, 0.00198, 0.00158, 0.00133, 0.00123, 0.00124, 0.00132, 0.00140, 0.00143, 0.00140, 0.00132, 0.00124, 0.00123, + 0.00133, 0.00192, 0.00288, 0.00416, 0.00668, 0.00863, 0.00985, 0.01027, 0.00985, 0.00863, 0.00668, 0.00416, 0.00288, 0.00192, 0.00138, 0.00126, 0.00142, 0.00131, 0.00125, 0.00123, 0.00125, 0.00131, 0.00142, 0.00126, 0.00138, 0.00265, 0.00762, 0.01344, 0.01680, 0.01805, 0.01690, 0.01344, 0.00805, 0.00265, 0.00132, 0.00118, 0.00104, 0.00101, 0.00104, 0.00118, 0.00135, + 0.00431, 0.02060, 0.02061, 0.02061, 0.02061, 0.02060, 0.00431, 0.00093, 0.00083, 0.00080, 0.00083, 0.00093, 0.00093, 0.00093, 0.00099, 0.00103, 0.00099, 0.00093, 0.00088, 0.00086, 0.00088, 0.00093, 0.00100, 0.00108, 0.00113, 0.00116, 0.00114, 0.00108, 0.00101, 0.00093, 0.00087, 0.00084, 0.00082, 0.00082, 0.00082, 0.00084, 0.00087, 0.00094, 0.00104, 0.00115, 0.00126, + 0.00133, 0.00136, 0.00133, 0.00126, 0.00115, 0.00104, 0.00094, 0.00087, 0.00082, 0.00081, 0.00080, 0.00080, 0.00080, 0.00081, 0.00082, 0.00087, 0.00097, 0.00111, 0.00128, 0.00145, 28.89872, 0.00171, 0.00174, 0.00171, 0.00160, 0.00145, 0.00128, 0.00111, 0.00097, 0.00087, 0.00082, 0.00081, 0.00081, 0.00083, 0.00083, 0.00083, 0.00081, 0.00081, 0.00082, 0.00087, 0.00106, + 0.00133, 0.00167, 0.00203, 0.00250, 0.00325, 0.00351, 0.00325, 0.00250, 0.00203, 0.00167, 0.00133, 0.00106, 0.00089, 0.00083, 0.00084, 0.00089, 0.00094, 0.00096, 0.00094, 0.00089, 0.00084, 0.00083, 0.00089, 0.00129, 0.00193, 0.00280, 0.00449, 0.00580, 0.00662, 0.00690, 0.00662, 0.00580, 0.00449, 0.00280, 0.00193, 0.00129, 0.00093, 0.00085, 0.00095, 0.00088, 0.00084, + 0.00082, 0.00084, 0.00088, 0.00095, 0.00085, 0.00093, 0.00178, 0.00512, 0.00903, 0.01129, 0.01213, 0.01136, 0.00903, 0.00541, 0.00178, 0.00089, 0.00079, 0.00070, 0.00068, 0.00070, 0.00079, 0.00091, 0.00290, 0.01384, 0.01385, 0.01385, 0.01385, 0.01384, 0.00290, 0.00063, 0.00056, 0.00054, 0.00056, 0.00063, 0.00064, 0.00064, 0.00069, 0.00071, 0.00069, 0.00064, 0.00061, + 0.00060, 0.00061, 0.00065, 0.00070, 0.00075, 0.00079, 0.00080, 0.00079, 0.00075, 0.00070, 0.00065, 0.00061, 0.00058, 0.00057, 0.00057, 0.00057, 0.00058, 0.00061, 0.00065, 0.00072, 0.00080, 0.00087, 0.00092, 0.00094, 0.00092, 0.00087, 0.00080, 0.00072, 0.00065, 0.00060, 0.00057, 0.00056, 0.00056, 0.00055, 0.00056, 0.00056, 0.00057, 0.00060, 0.00067, 0.00077, 0.00089, + 0.00101, 0.00111, 30.16078, 0.00121, 0.00118, 0.00111, 0.00101, 0.00089, 0.00077, 0.00067, 0.00061, 0.00057, 0.00056, 0.00056, 0.00057, 0.00058, 0.00057, 0.00056, 0.00056, 0.00057, 0.00061, 0.00074, 0.00092, 0.00116, 0.00141, 0.00173, 0.00226, 0.00243, 0.00226, 0.00173, 0.00141, 0.00116, 0.00092, 0.00074, 0.00062, 0.00057, 0.00058, 0.00062, 0.00065, 0.00067, 0.00065, + 0.00062, 0.00058, 0.00057, 0.00062, 0.00089, 0.00134, 0.00194, 0.00311, 0.00402, 0.00459, 0.00479, 0.00459, 0.00402, 0.00311, 0.00194, 0.00134, 0.00089, 0.00064, 0.00059, 0.00066, 0.00061, 0.00058, 0.00057, 0.00058, 0.00061, 0.00066, 0.00059, 0.00064, 0.00123, 0.00355, 0.00626, 0.00783, 0.00841, 0.00788, 0.00626, 0.00375, 0.00123, 0.00062, 0.00055, 0.00049, 0.00047, + 0.00048, 0.00055, 0.00063, 0.00201, 0.00960, 0.00960, 0.00960, 0.00960, 0.00960, 0.00201, 0.00043, 0.00039, 0.00037, 0.00039, 0.00043, 0.00055, 0.00055, 0.00059, 0.00060, 0.00059, 0.00055, 0.00052, 0.00051, 0.00052, 0.00055, 0.00059, 0.00064, 0.00067, 0.00068, 0.00067, 0.00064, 0.00059, 0.00055, 0.00052, 0.00049, 0.00048, 0.00048, 0.00048, 0.00049, 0.00051, 0.00055, + 0.00061, 0.00068, 0.00074, 0.00078, 0.00080, 0.00078, 0.00074, 0.00068, 0.00061, 0.00055, 0.00051, 0.00048, 0.00047, 0.00047, 0.00047, 0.00047, 0.00047, 0.00048, 0.00051, 0.00057, 0.00065, 0.00075, 0.00085, 0.00094, 0.00100, 30.59123, 0.00100, 0.00094, 0.00085, 0.00075, 0.00065, 0.00057, 0.00052, 0.00048, 0.00048, 0.00048, 0.00049, 0.00049, 0.00049, 0.00048, 0.00048, + 0.00048, 0.00052, 0.00063, 0.00078, 0.00098, 0.00120, 0.00147, 0.00192, 0.00207, 0.00192, 0.00147, 0.00120, 0.00098, 0.00078, 0.00063, 0.00053, 0.00049, 0.00049, 0.00052, 0.00055, 0.00057, 0.00055, 0.00052, 0.00049, 0.00049, 0.00053, 0.00076, 0.00114, 0.00165, 0.00264, 0.00341, 0.00390, 0.00406, 0.00390, 0.00341, 0.00264, 0.00165, 0.00114, 0.00076, 0.00055, 0.00050, + 0.00056, 0.00052, 0.00049, 0.00049, 0.00049, 0.00052, 0.00056, 0.00050, 0.00055, 0.00105, 0.00302, 0.00532, 0.00665, 0.00714, 0.00669, 0.00532, 0.00318, 0.00105, 0.00052, 0.00047, 0.00041, 0.00040, 0.00041, 0.00047, 0.00054, 0.00170, 0.00815, 0.00815, 0.00815, 0.00815, 0.00815, 0.00170, 0.00037, 0.00033, 0.00032, 0.00033, 0.00037, 0.00064, 0.00064, 0.00069, 0.00071, + 0.00069, 0.00064, 0.00061, 0.00060, 0.00061, 0.00065, 0.00070, 0.00075, 0.00079, 0.00080, 0.00079, 0.00075, 0.00070, 0.00065, 0.00061, 0.00058, 0.00057, 0.00057, 0.00057, 0.00058, 0.00061, 0.00065, 0.00072, 0.00080, 0.00087, 0.00092, 0.00094, 0.00092, 0.00087, 0.00080, 0.00072, 0.00065, 0.00060, 0.00057, 0.00056, 0.00056, 0.00055, 0.00056, 0.00056, 0.00057, 0.00060, + 0.00067, 0.00077, 0.00089, 0.00101, 0.00111, 0.00118, 0.00121, 30.16078, 0.00111, 0.00101, 0.00089, 0.00077, 0.00067, 0.00061, 0.00057, 0.00056, 0.00056, 0.00057, 0.00058, 0.00057, 0.00056, 0.00056, 0.00057, 0.00061, 0.00074, 0.00092, 0.00116, 0.00141, 0.00173, 0.00226, 0.00243, 0.00226, 0.00173, 0.00141, 0.00116, 0.00092, 0.00074, 0.00062, 0.00057, 0.00058, 0.00062, + 0.00065, 0.00067, 0.00065, 0.00062, 0.00058, 0.00057, 0.00062, 0.00089, 0.00134, 0.00194, 0.00311, 0.00402, 0.00459, 0.00479, 0.00459, 0.00402, 0.00311, 0.00194, 0.00134, 0.00089, 0.00064, 0.00059, 0.00066, 0.00061, 0.00058, 0.00057, 0.00058, 0.00061, 0.00066, 0.00059, 0.00064, 0.00123, 0.00355, 0.00626, 0.00783, 0.00841, 0.00788, 0.00626, 0.00375, 0.00123, 0.00062, + 0.00055, 0.00049, 0.00047, 0.00048, 0.00055, 0.00063, 0.00201, 0.00960, 0.00960, 0.00960, 0.00960, 0.00960, 0.00201, 0.00043, 0.00039, 0.00037, 0.00039, 0.00043, 0.00093, 0.00093, 0.00099, 0.00103, 0.00099, 0.00093, 0.00088, 0.00086, 0.00088, 0.00093, 0.00100, 0.00108, 0.00113, 0.00116, 0.00114, 0.00108, 0.00101, 0.00093, 0.00087, 0.00084, 0.00082, 0.00082, 0.00082, + 0.00084, 0.00087, 0.00094, 0.00104, 0.00115, 0.00126, 0.00133, 0.00136, 0.00133, 0.00126, 0.00115, 0.00104, 0.00094, 0.00087, 0.00082, 0.00081, 0.00080, 0.00080, 0.00080, 0.00081, 0.00082, 0.00087, 0.00097, 0.00111, 0.00128, 0.00145, 0.00160, 0.00171, 0.00174, 0.00171, 28.89872, 0.00145, 0.00128, 0.00111, 0.00097, 0.00087, 0.00082, 0.00081, 0.00081, 0.00083, 0.00083, + 0.00083, 0.00081, 0.00081, 0.00082, 0.00087, 0.00106, 0.00133, 0.00167, 0.00203, 0.00250, 0.00325, 0.00351, 0.00325, 0.00250, 0.00203, 0.00167, 0.00133, 0.00106, 0.00089, 0.00083, 0.00084, 0.00089, 0.00094, 0.00096, 0.00094, 0.00089, 0.00084, 0.00083, 0.00089, 0.00129, 0.00193, 0.00280, 0.00449, 0.00580, 0.00662, 0.00690, 0.00662, 0.00580, 0.00449, 0.00280, 0.00193, + 0.00129, 0.00093, 0.00085, 0.00095, 0.00088, 0.00084, 0.00082, 0.00084, 0.00088, 0.00095, 0.00085, 0.00093, 0.00178, 0.00512, 0.00903, 0.01129, 0.01213, 0.01136, 0.00903, 0.00541, 0.00178, 0.00089, 0.00079, 0.00070, 0.00068, 0.00070, 0.00079, 0.00091, 0.00290, 0.01384, 0.01385, 0.01385, 0.01385, 0.01384, 0.00290, 0.00063, 0.00056, 0.00054, 0.00056, 0.00063, 0.00138, + 0.00138, 0.00148, 0.00153, 0.00148, 0.00138, 0.00131, 0.00128, 0.00131, 0.00139, 0.00149, 0.00161, 0.00169, 0.00172, 0.00169, 0.00161, 0.00150, 0.00139, 0.00130, 0.00125, 0.00122, 0.00121, 0.00122, 0.00125, 0.00130, 0.00140, 0.00155, 0.00172, 0.00187, 0.00198, 0.00202, 0.00198, 0.00187, 0.00172, 0.00155, 0.00140, 0.00129, 0.00123, 0.00120, 0.00119, 0.00119, 0.00119, + 0.00120, 0.00123, 0.00129, 0.00145, 0.00165, 0.00190, 0.00216, 0.00239, 0.00254, 0.00259, 0.00254, 0.00239, 26.89096, 0.00190, 0.00165, 0.00145, 0.00130, 0.00122, 0.00120, 0.00121, 0.00123, 0.00124, 0.00123, 0.00121, 0.00120, 0.00122, 0.00130, 0.00158, 0.00198, 0.00249, 0.00303, 0.00372, 0.00484, 0.00522, 0.00484, 0.00372, 0.00303, 0.00249, 0.00198, 0.00158, 0.00133, + 0.00123, 0.00124, 0.00132, 0.00140, 0.00143, 0.00140, 0.00132, 0.00124, 0.00123, 0.00133, 0.00192, 0.00288, 0.00416, 0.00668, 0.00863, 0.00985, 0.01027, 0.00985, 0.00863, 0.00668, 0.00416, 0.00288, 0.00192, 0.00138, 0.00126, 0.00142, 0.00131, 0.00125, 0.00123, 0.00125, 0.00131, 0.00142, 0.00126, 0.00138, 0.00265, 0.00762, 0.01344, 0.01680, 0.01805, 0.01690, 0.01344, + 0.00805, 0.00265, 0.00132, 0.00118, 0.00104, 0.00101, 0.00104, 0.00118, 0.00135, 0.00431, 0.02060, 0.02061, 0.02061, 0.02061, 0.02060, 0.00431, 0.00093, 0.00083, 0.00080, 0.00083, 0.00093, 0.00198, 0.00197, 0.00211, 0.00218, 0.00211, 0.00197, 0.00186, 0.00183, 0.00186, 0.00198, 0.00213, 0.00229, 0.00241, 0.00246, 0.00241, 0.00229, 0.00214, 0.00198, 0.00186, 0.00178, + 0.00174, 0.00173, 0.00174, 0.00178, 0.00185, 0.00200, 0.00221, 0.00245, 0.00267, 0.00283, 0.00289, 0.00283, 0.00267, 0.00245, 0.00221, 0.00200, 0.00184, 0.00175, 0.00171, 0.00170, 0.00170, 0.00170, 0.00171, 0.00175, 0.00184, 0.00206, 0.00236, 0.00272, 0.00308, 0.00341, 0.00363, 0.00370, 0.00363, 0.00341, 0.00308, 24.27422, 0.00236, 0.00206, 0.00186, 0.00175, 0.00171, + 0.00173, 0.00175, 0.00176, 0.00175, 0.00173, 0.00171, 0.00175, 0.00186, 0.00226, 0.00283, 0.00355, 0.00432, 0.00531, 0.00691, 0.00745, 0.00691, 0.00531, 0.00432, 0.00355, 0.00283, 0.00226, 0.00190, 0.00175, 0.00178, 0.00189, 0.00200, 0.00204, 0.00200, 0.00189, 0.00178, 0.00175, 0.00190, 0.00273, 0.00411, 0.00594, 0.00954, 0.01232, 0.01406, 0.01466, 0.01406, 0.01232, + 0.00954, 0.00594, 0.00411, 0.00273, 0.00197, 0.00180, 0.00202, 0.00187, 0.00178, 0.00175, 0.00178, 0.00187, 0.00202, 0.00180, 0.00197, 0.00378, 0.01088, 0.01919, 0.02398, 0.02576, 0.02413, 0.01919, 0.01148, 0.00378, 0.00189, 0.00168, 0.00149, 0.00144, 0.00148, 0.00168, 0.00193, 0.00615, 0.02940, 0.02941, 0.02942, 0.02941, 0.02940, 0.00615, 0.00133, 0.00118, 0.00114, + 0.00118, 0.00133, 0.00266, 0.00266, 0.00285, 0.00294, 0.00285, 0.00266, 0.00252, 0.00246, 0.00252, 0.00267, 0.00287, 0.00309, 0.00325, 0.00331, 0.00325, 0.00309, 0.00288, 0.00267, 0.00251, 0.00240, 0.00235, 0.00234, 0.00235, 0.00240, 0.00250, 0.00269, 0.00298, 0.00330, 0.00360, 0.00382, 0.00390, 0.00382, 0.00360, 0.00330, 0.00298, 0.00269, 0.00248, 0.00236, 0.00231, + 0.00229, 0.00229, 0.00229, 0.00231, 0.00236, 0.00248, 0.00278, 0.00318, 0.00366, 0.00416, 0.00459, 0.00489, 0.00499, 0.00489, 0.00459, 0.00416, 0.00366, 21.22678, 0.00278, 0.00251, 0.00236, 0.00231, 0.00233, 0.00236, 0.00238, 0.00236, 0.00233, 0.00231, 0.00236, 0.00251, 0.00304, 0.00381, 0.00479, 0.00582, 0.00717, 0.00932, 0.01005, 0.00932, 0.00717, 0.00582, 0.00479, + 0.00381, 0.00304, 0.00256, 0.00236, 0.00239, 0.00255, 0.00270, 0.00275, 0.00270, 0.00255, 0.00239, 0.00236, 0.00256, 0.00369, 0.00554, 0.00801, 0.01287, 0.01661, 0.01897, 0.01977, 0.01897, 0.01661, 0.01287, 0.00801, 0.00554, 0.00369, 0.00265, 0.00243, 0.00273, 0.00253, 0.00240, 0.00236, 0.00240, 0.00253, 0.00273, 0.00243, 0.00265, 0.00510, 0.01467, 0.02588, 0.03234, + 0.03475, 0.03254, 0.02588, 0.01549, 0.00510, 0.00255, 0.00227, 0.00201, 0.00194, 0.00200, 0.00227, 0.00260, 0.00829, 0.03965, 0.03967, 0.03967, 0.03967, 0.03965, 0.00829, 0.00179, 0.00159, 0.00154, 0.00159, 0.00179, 0.00340, 0.00340, 0.00364, 0.00375, 0.00364, 0.00340, 0.00321, 0.00315, 0.00321, 0.00341, 0.00367, 0.00395, 0.00415, 0.00423, 0.00416, 0.00395, 0.00368, + 0.00341, 0.00320, 0.00307, 0.00300, 0.00298, 0.00300, 0.00307, 0.00319, 0.00344, 0.00380, 0.00422, 0.00460, 0.00488, 0.00498, 0.00488, 0.00460, 0.00422, 0.00380, 0.00344, 0.00317, 0.00301, 0.00295, 0.00293, 0.00293, 0.00293, 0.00295, 0.00301, 0.00317, 0.00356, 0.00407, 0.00468, 0.00531, 0.00587, 0.00625, 0.00638, 0.00625, 0.00587, 0.00531, 0.00468, 0.00407, 17.95635, + 0.00320, 0.00301, 0.00295, 0.00298, 0.00302, 0.00304, 0.00302, 0.00298, 0.00295, 0.00301, 0.00320, 0.00389, 0.00487, 0.00612, 0.00744, 0.00916, 0.01191, 0.01284, 0.01191, 0.00916, 0.00744, 0.00612, 0.00487, 0.00389, 0.00327, 0.00302, 0.00306, 0.00326, 0.00345, 0.00351, 0.00345, 0.00326, 0.00306, 0.00302, 0.00327, 0.00471, 0.00708, 0.01023, 0.01644, 0.02122, 0.02423, + 0.02526, 0.02423, 0.02122, 0.01644, 0.01023, 0.00708, 0.00471, 0.00339, 0.00310, 0.00348, 0.00323, 0.00307, 0.00302, 0.00307, 0.00323, 0.00348, 0.00310, 0.00339, 0.00651, 0.01874, 0.03305, 0.04131, 0.04439, 0.04157, 0.03305, 0.01978, 0.00651, 0.00325, 0.00289, 0.00256, 0.00248, 0.00255, 0.00289, 0.00333, 0.01059, 0.05065, 0.05067, 0.05068, 0.05067, 0.05065, 0.01059, + 0.00229, 0.00203, 0.00197, 0.00203, 0.00229, 0.00414, 0.00414, 0.00443, 0.00456, 0.00443, 0.00414, 0.00391, 0.00383, 0.00391, 0.00415, 0.00447, 0.00481, 0.00505, 0.00515, 0.00506, 0.00481, 0.00448, 0.00415, 0.00390, 0.00373, 0.00365, 0.00363, 0.00365, 0.00373, 0.00389, 0.00419, 0.00463, 0.00513, 0.00560, 0.00594, 0.00606, 0.00594, 0.00560, 0.00513, 0.00463, 0.00419, + 0.00386, 0.00367, 0.00359, 0.00357, 0.00356, 0.00357, 0.00359, 0.00367, 0.00386, 0.00433, 0.00495, 0.00570, 0.00647, 0.00714, 0.00760, 0.00777, 0.00760, 0.00714, 0.00647, 0.00570, 0.00495, 0.00433, 14.68589, 0.00366, 0.00359, 0.00362, 0.00368, 0.00370, 0.00368, 0.00362, 0.00359, 0.00366, 0.00390, 0.00473, 0.00593, 0.00745, 0.00906, 0.01114, 0.01449, 0.01562, 0.01449, + 0.01114, 0.00906, 0.00745, 0.00593, 0.00473, 0.00398, 0.00368, 0.00372, 0.00396, 0.00420, 0.00428, 0.00420, 0.00396, 0.00372, 0.00368, 0.00398, 0.00573, 0.00862, 0.01245, 0.02001, 0.02583, 0.02949, 0.03074, 0.02949, 0.02583, 0.02001, 0.01245, 0.00862, 0.00573, 0.00413, 0.00378, 0.00424, 0.00393, 0.00374, 0.00367, 0.00374, 0.00393, 0.00424, 0.00378, 0.00413, 0.00792, + 0.02281, 0.04023, 0.05028, 0.05403, 0.05060, 0.04023, 0.02408, 0.00792, 0.00396, 0.00352, 0.00312, 0.00301, 0.00311, 0.00352, 0.00405, 0.01289, 0.06165, 0.06168, 0.06168, 0.06168, 0.06165, 0.01289, 0.00279, 0.00248, 0.00240, 0.00248, 0.00279, 0.00483, 0.00483, 0.00517, 0.00532, 0.00517, 0.00483, 0.00456, 0.00447, 0.00456, 0.00484, 0.00521, 0.00560, 0.00589, 0.00601, + 0.00590, 0.00560, 0.00523, 0.00484, 0.00454, 0.00435, 0.00426, 0.00423, 0.00426, 0.00435, 0.00453, 0.00488, 0.00540, 0.00599, 0.00654, 0.00692, 0.00706, 0.00692, 0.00654, 0.00599, 0.00540, 0.00488, 0.00450, 0.00428, 0.00418, 0.00416, 0.00416, 0.00416, 0.00418, 0.00428, 0.00450, 0.00505, 0.00577, 0.00664, 0.00754, 0.00833, 0.00887, 0.00906, 0.00887, 0.00833, 0.00754, + 0.00664, 0.00577, 0.00505, 0.00454, 11.63836, 0.00419, 0.00422, 0.00429, 0.00432, 0.00429, 0.00422, 0.00419, 0.00427, 0.00454, 0.00552, 0.00692, 0.00868, 0.01056, 0.01300, 0.01690, 0.01822, 0.01690, 0.01300, 0.01056, 0.00868, 0.00692, 0.00552, 0.00464, 0.00429, 0.00434, 0.00462, 0.00489, 0.00499, 0.00489, 0.00462, 0.00434, 0.00429, 0.00464, 0.00669, 0.01005, 0.01452, + 0.02333, 0.03013, 0.03440, 0.03585, 0.03440, 0.03013, 0.02333, 0.01452, 0.01005, 0.00669, 0.00481, 0.00441, 0.00494, 0.00458, 0.00436, 0.00428, 0.00436, 0.00458, 0.00494, 0.00441, 0.00481, 0.00924, 0.02661, 0.04692, 0.05864, 0.06301, 0.05901, 0.04692, 0.02808, 0.00924, 0.00462, 0.00411, 0.00364, 0.00351, 0.00362, 0.00411, 0.00472, 0.01504, 0.07189, 0.07193, 0.07194, + 0.07193, 0.07189, 0.01504, 0.00325, 0.00289, 0.00280, 0.00289, 0.00325, 0.00542, 0.00542, 0.00580, 0.00598, 0.00580, 0.00542, 0.00512, 0.00502, 0.00512, 0.00543, 0.00585, 0.00629, 0.00661, 0.00674, 0.00662, 0.00629, 0.00587, 0.00543, 0.00510, 0.00488, 0.00478, 0.00475, 0.00478, 0.00488, 0.00509, 0.00548, 0.00606, 0.00672, 0.00734, 0.00777, 0.00793, 0.00777, 0.00734, + 0.00672, 0.00606, 0.00548, 0.00505, 0.00480, 0.00469, 0.00467, 0.00467, 0.00467, 0.00469, 0.00480, 0.00505, 0.00567, 0.00648, 0.00746, 0.00847, 0.00935, 0.00995, 0.01016, 0.00995, 0.00935, 0.00847, 0.00746, 0.00648, 0.00567, 0.00510, 0.00480, 9.02150, 0.00474, 0.00481, 0.00484, 0.00481, 0.00474, 0.00470, 0.00480, 0.00510, 0.00619, 0.00776, 0.00975, 0.01185, 0.01459, + 0.01897, 0.02045, 0.01897, 0.01459, 0.01185, 0.00975, 0.00776, 0.00619, 0.00521, 0.00481, 0.00487, 0.00519, 0.00549, 0.00560, 0.00549, 0.00519, 0.00487, 0.00481, 0.00521, 0.00751, 0.01128, 0.01630, 0.02619, 0.03381, 0.03861, 0.04024, 0.03861, 0.03381, 0.02619, 0.01630, 0.01128, 0.00751, 0.00540, 0.00495, 0.00555, 0.00515, 0.00489, 0.00480, 0.00489, 0.00515, 0.00555, + 0.00495, 0.00540, 0.01037, 0.02987, 0.05267, 0.06582, 0.07072, 0.06623, 0.05267, 0.03152, 0.01037, 0.00518, 0.00461, 0.00408, 0.00395, 0.00407, 0.00461, 0.00530, 0.01688, 0.08070, 0.08074, 0.08075, 0.08074, 0.08070, 0.01688, 0.00365, 0.00324, 0.00314, 0.00324, 0.00365, 0.00588, 0.00587, 0.00628, 0.00648, 0.00628, 0.00587, 0.00555, 0.00544, 0.00555, 0.00588, 0.00633, + 0.00682, 0.00717, 0.00731, 0.00718, 0.00682, 0.00636, 0.00588, 0.00553, 0.00529, 0.00518, 0.00515, 0.00518, 0.00529, 0.00551, 0.00594, 0.00657, 0.00728, 0.00795, 0.00842, 0.00859, 0.00842, 0.00795, 0.00728, 0.00657, 0.00594, 0.00548, 0.00520, 0.00509, 0.00506, 0.00506, 0.00506, 0.00509, 0.00520, 0.00548, 0.00614, 0.00702, 0.00808, 0.00918, 0.01013, 0.01078, 0.01102, + 0.01078, 0.01013, 0.00918, 0.00808, 0.00702, 0.00614, 0.00553, 0.00520, 0.00510, 7.01362, 0.00521, 0.00525, 0.00521, 0.00514, 0.00510, 0.00520, 0.00553, 0.00671, 0.00841, 0.01056, 0.01285, 0.01581, 0.02056, 0.02216, 0.02056, 0.01581, 0.01285, 0.01056, 0.00841, 0.00671, 0.00564, 0.00521, 0.00528, 0.00562, 0.00595, 0.00606, 0.00595, 0.00562, 0.00528, 0.00521, 0.00564, + 0.00813, 0.01222, 0.01766, 0.02838, 0.03664, 0.04184, 0.04361, 0.04184, 0.03664, 0.02838, 0.01766, 0.01222, 0.00813, 0.00585, 0.00536, 0.00601, 0.00558, 0.00530, 0.00521, 0.00530, 0.00558, 0.00601, 0.00536, 0.00585, 0.01124, 0.03236, 0.05707, 0.07133, 0.07664, 0.07178, 0.05707, 0.03416, 0.01124, 0.00562, 0.00500, 0.00443, 0.00428, 0.00441, 0.00500, 0.00574, 0.01829, + 0.08745, 0.08750, 0.08751, 0.08750, 0.08745, 0.01829, 0.00395, 0.00351, 0.00340, 0.00351, 0.00395, 0.00616, 0.00616, 0.00659, 0.00679, 0.00659, 0.00616, 0.00582, 0.00570, 0.00582, 0.00617, 0.00664, 0.00715, 0.00752, 0.00766, 0.00753, 0.00715, 0.00666, 0.00617, 0.00580, 0.00555, 0.00543, 0.00540, 0.00543, 0.00555, 0.00578, 0.00623, 0.00689, 0.00764, 0.00834, 0.00883, + 0.00901, 0.00883, 0.00834, 0.00764, 0.00689, 0.00623, 0.00574, 0.00546, 0.00533, 0.00530, 0.00530, 0.00530, 0.00533, 0.00546, 0.00574, 0.00644, 0.00736, 0.00847, 0.00962, 0.01062, 0.01131, 0.01155, 0.01131, 0.01062, 0.00962, 0.00847, 0.00736, 0.00644, 0.00580, 0.00545, 0.00535, 0.00539, 5.75146, 0.00550, 0.00547, 0.00539, 0.00535, 0.00545, 0.00580, 0.00704, 0.00882, + 0.01108, 0.01347, 0.01658, 0.02156, 0.02324, 0.02156, 0.01658, 0.01347, 0.01108, 0.00882, 0.00704, 0.00592, 0.00547, 0.00554, 0.00590, 0.00624, 0.00636, 0.00624, 0.00590, 0.00554, 0.00547, 0.00592, 0.00853, 0.01282, 0.01852, 0.02976, 0.03842, 0.04387, 0.04573, 0.04387, 0.03842, 0.02976, 0.01852, 0.01282, 0.00853, 0.00614, 0.00562, 0.00631, 0.00585, 0.00556, 0.00546, + 0.00556, 0.00585, 0.00631, 0.00562, 0.00614, 0.01179, 0.03394, 0.05984, 0.07479, 0.08036, 0.07526, 0.05984, 0.03582, 0.01179, 0.00589, 0.00524, 0.00464, 0.00448, 0.00462, 0.00524, 0.00602, 0.01918, 0.09170, 0.09174, 0.09175, 0.09174, 0.09170, 0.01918, 0.00414, 0.00368, 0.00357, 0.00368, 0.00414, 0.00626, 0.00626, 0.00669, 0.00690, 0.00669, 0.00626, 0.00591, 0.00579, + 0.00591, 0.00627, 0.00675, 0.00726, 0.00763, 0.00778, 0.00765, 0.00726, 0.00677, 0.00627, 0.00589, 0.00564, 0.00552, 0.00549, 0.00552, 0.00564, 0.00587, 0.00632, 0.00700, 0.00776, 0.00847, 0.00897, 0.00915, 0.00897, 0.00847, 0.00776, 0.00700, 0.00632, 0.00583, 0.00554, 0.00542, 0.00539, 0.00538, 0.00539, 0.00542, 0.00554, 0.00583, 0.00654, 0.00748, 0.00861, 0.00977, + 0.01079, 0.01149, 0.01173, 0.01149, 0.01079, 0.00977, 0.00861, 0.00748, 0.00654, 0.00589, 0.00554, 0.00543, 0.00547, 0.00555, 5.32098, 0.00555, 0.00547, 0.00543, 0.00554, 0.00589, 0.00715, 0.00896, 0.01125, 0.01368, 0.01684, 0.02190, 0.02360, 0.02190, 0.01684, 0.01368, 0.01125, 0.00896, 0.00715, 0.00601, 0.00555, 0.00562, 0.00599, 0.00634, 0.00646, 0.00634, 0.00599, + 0.00562, 0.00555, 0.00601, 0.00866, 0.01302, 0.01881, 0.03023, 0.03903, 0.04456, 0.04645, 0.04456, 0.03903, 0.03023, 0.01881, 0.01302, 0.00866, 0.00624, 0.00571, 0.00640, 0.00594, 0.00565, 0.00555, 0.00565, 0.00594, 0.00640, 0.00571, 0.00624, 0.01197, 0.03447, 0.06079, 0.07597, 0.08163, 0.07645, 0.06079, 0.03638, 0.01197, 0.00598, 0.00532, 0.00471, 0.00455, 0.00469, + 0.00532, 0.00612, 0.01948, 0.09314, 0.09319, 0.09320, 0.09319, 0.09314, 0.01948, 0.00421, 0.00374, 0.00362, 0.00374, 0.00421, 0.00616, 0.00616, 0.00659, 0.00679, 0.00659, 0.00616, 0.00582, 0.00570, 0.00582, 0.00617, 0.00664, 0.00715, 0.00752, 0.00766, 0.00753, 0.00715, 0.00666, 0.00617, 0.00580, 0.00555, 0.00543, 0.00540, 0.00543, 0.00555, 0.00578, 0.00623, 0.00689, + 0.00764, 0.00834, 0.00883, 0.00901, 0.00883, 0.00834, 0.00764, 0.00689, 0.00623, 0.00574, 0.00546, 0.00533, 0.00530, 0.00530, 0.00530, 0.00533, 0.00546, 0.00574, 0.00644, 0.00736, 0.00847, 0.00962, 0.01062, 0.01131, 0.01155, 0.01131, 0.01062, 0.00962, 0.00847, 0.00736, 0.00644, 0.00580, 0.00545, 0.00535, 0.00539, 0.00547, 0.00550, 5.75146, 0.00539, 0.00535, 0.00545, + 0.00580, 0.00704, 0.00882, 0.01108, 0.01347, 0.01658, 0.02156, 0.02324, 0.02156, 0.01658, 0.01347, 0.01108, 0.00882, 0.00704, 0.00592, 0.00547, 0.00554, 0.00590, 0.00624, 0.00636, 0.00624, 0.00590, 0.00554, 0.00547, 0.00592, 0.00853, 0.01282, 0.01852, 0.02976, 0.03842, 0.04387, 0.04573, 0.04387, 0.03842, 0.02976, 0.01852, 0.01282, 0.00853, 0.00614, 0.00562, 0.00631, + 0.00585, 0.00556, 0.00546, 0.00556, 0.00585, 0.00631, 0.00562, 0.00614, 0.01179, 0.03394, 0.05984, 0.07479, 0.08036, 0.07526, 0.05984, 0.03582, 0.01179, 0.00589, 0.00524, 0.00464, 0.00448, 0.00462, 0.00524, 0.00602, 0.01918, 0.09170, 0.09174, 0.09175, 0.09174, 0.09170, 0.01918, 0.00414, 0.00368, 0.00357, 0.00368, 0.00414, 0.00588, 0.00587, 0.00628, 0.00648, 0.00628, + 0.00587, 0.00555, 0.00544, 0.00555, 0.00588, 0.00633, 0.00682, 0.00717, 0.00731, 0.00718, 0.00682, 0.00636, 0.00588, 0.00553, 0.00529, 0.00518, 0.00515, 0.00518, 0.00529, 0.00551, 0.00594, 0.00657, 0.00728, 0.00795, 0.00842, 0.00859, 0.00842, 0.00795, 0.00728, 0.00657, 0.00594, 0.00548, 0.00520, 0.00509, 0.00506, 0.00506, 0.00506, 0.00509, 0.00520, 0.00548, 0.00614, + 0.00702, 0.00808, 0.00918, 0.01013, 0.01078, 0.01102, 0.01078, 0.01013, 0.00918, 0.00808, 0.00702, 0.00614, 0.00553, 0.00520, 0.00510, 0.00514, 0.00521, 0.00525, 0.00521, 7.01362, 0.00510, 0.00520, 0.00553, 0.00671, 0.00841, 0.01056, 0.01285, 0.01581, 0.02056, 0.02216, 0.02056, 0.01581, 0.01285, 0.01056, 0.00841, 0.00671, 0.00564, 0.00521, 0.00528, 0.00562, 0.00595, + 0.00606, 0.00595, 0.00562, 0.00528, 0.00521, 0.00564, 0.00813, 0.01222, 0.01766, 0.02838, 0.03664, 0.04184, 0.04361, 0.04184, 0.03664, 0.02838, 0.01766, 0.01222, 0.00813, 0.00585, 0.00536, 0.00601, 0.00558, 0.00530, 0.00521, 0.00530, 0.00558, 0.00601, 0.00536, 0.00585, 0.01124, 0.03236, 0.05707, 0.07133, 0.07664, 0.07178, 0.05707, 0.03416, 0.01124, 0.00562, 0.00500, + 0.00443, 0.00428, 0.00441, 0.00500, 0.00574, 0.01829, 0.08745, 0.08750, 0.08751, 0.08750, 0.08745, 0.01829, 0.00395, 0.00351, 0.00340, 0.00351, 0.00395, 0.00542, 0.00542, 0.00580, 0.00598, 0.00580, 0.00542, 0.00512, 0.00502, 0.00512, 0.00543, 0.00585, 0.00629, 0.00661, 0.00674, 0.00662, 0.00629, 0.00587, 0.00543, 0.00510, 0.00488, 0.00478, 0.00475, 0.00478, 0.00488, + 0.00509, 0.00548, 0.00606, 0.00672, 0.00734, 0.00777, 0.00793, 0.00777, 0.00734, 0.00672, 0.00606, 0.00548, 0.00505, 0.00480, 0.00469, 0.00467, 0.00467, 0.00467, 0.00469, 0.00480, 0.00505, 0.00567, 0.00648, 0.00746, 0.00847, 0.00935, 0.00995, 0.01016, 0.00995, 0.00935, 0.00847, 0.00746, 0.00648, 0.00567, 0.00510, 0.00480, 0.00470, 0.00474, 0.00481, 0.00484, 0.00481, + 0.00474, 9.02150, 0.00480, 0.00510, 0.00619, 0.00776, 0.00975, 0.01185, 0.01459, 0.01897, 0.02045, 0.01897, 0.01459, 0.01185, 0.00975, 0.00776, 0.00619, 0.00521, 0.00481, 0.00487, 0.00519, 0.00549, 0.00560, 0.00549, 0.00519, 0.00487, 0.00481, 0.00521, 0.00751, 0.01128, 0.01630, 0.02619, 0.03381, 0.03861, 0.04024, 0.03861, 0.03381, 0.02619, 0.01630, 0.01128, 0.00751, + 0.00540, 0.00495, 0.00555, 0.00515, 0.00489, 0.00480, 0.00489, 0.00515, 0.00555, 0.00495, 0.00540, 0.01037, 0.02987, 0.05267, 0.06582, 0.07072, 0.06623, 0.05267, 0.03152, 0.01037, 0.00518, 0.00461, 0.00408, 0.00395, 0.00407, 0.00461, 0.00530, 0.01688, 0.08070, 0.08074, 0.08075, 0.08074, 0.08070, 0.01688, 0.00365, 0.00324, 0.00314, 0.00324, 0.00365, 0.00483, 0.00483, + 0.00517, 0.00532, 0.00517, 0.00483, 0.00456, 0.00447, 0.00456, 0.00484, 0.00521, 0.00560, 0.00589, 0.00601, 0.00590, 0.00560, 0.00523, 0.00484, 0.00454, 0.00435, 0.00426, 0.00423, 0.00426, 0.00435, 0.00453, 0.00488, 0.00540, 0.00599, 0.00654, 0.00692, 0.00706, 0.00692, 0.00654, 0.00599, 0.00540, 0.00488, 0.00450, 0.00428, 0.00418, 0.00416, 0.00416, 0.00416, 0.00418, + 0.00428, 0.00450, 0.00505, 0.00577, 0.00664, 0.00754, 0.00833, 0.00887, 0.00906, 0.00887, 0.00833, 0.00754, 0.00664, 0.00577, 0.00505, 0.00454, 0.00427, 0.00419, 0.00422, 0.00429, 0.00432, 0.00429, 0.00422, 0.00419, 11.63836, 0.00454, 0.00552, 0.00692, 0.00868, 0.01056, 0.01300, 0.01690, 0.01822, 0.01690, 0.01300, 0.01056, 0.00868, 0.00692, 0.00552, 0.00464, 0.00429, + 0.00434, 0.00462, 0.00489, 0.00499, 0.00489, 0.00462, 0.00434, 0.00429, 0.00464, 0.00669, 0.01005, 0.01452, 0.02333, 0.03013, 0.03440, 0.03585, 0.03440, 0.03013, 0.02333, 0.01452, 0.01005, 0.00669, 0.00481, 0.00441, 0.00494, 0.00458, 0.00436, 0.00428, 0.00436, 0.00458, 0.00494, 0.00441, 0.00481, 0.00924, 0.02661, 0.04692, 0.05864, 0.06301, 0.05901, 0.04692, 0.02808, + 0.00924, 0.00462, 0.00411, 0.00364, 0.00351, 0.00362, 0.00411, 0.00472, 0.01504, 0.07189, 0.07193, 0.07194, 0.07193, 0.07189, 0.01504, 0.00325, 0.00289, 0.00280, 0.00289, 0.00325, 0.00414, 0.00414, 0.00443, 0.00456, 0.00443, 0.00414, 0.00391, 0.00383, 0.00391, 0.00415, 0.00447, 0.00481, 0.00505, 0.00515, 0.00506, 0.00481, 0.00448, 0.00415, 0.00390, 0.00373, 0.00365, + 0.00363, 0.00365, 0.00373, 0.00389, 0.00419, 0.00463, 0.00513, 0.00560, 0.00594, 0.00606, 0.00594, 0.00560, 0.00513, 0.00463, 0.00419, 0.00386, 0.00367, 0.00359, 0.00357, 0.00356, 0.00357, 0.00359, 0.00367, 0.00386, 0.00433, 0.00495, 0.00570, 0.00647, 0.00714, 0.00760, 0.00777, 0.00760, 0.00714, 0.00647, 0.00570, 0.00495, 0.00433, 0.00390, 0.00366, 0.00359, 0.00362, + 0.00368, 0.00370, 0.00368, 0.00362, 0.00359, 0.00366, 14.68589, 0.00473, 0.00593, 0.00745, 0.00906, 0.01114, 0.01449, 0.01562, 0.01449, 0.01114, 0.00906, 0.00745, 0.00593, 0.00473, 0.00398, 0.00368, 0.00372, 0.00396, 0.00420, 0.00428, 0.00420, 0.00396, 0.00372, 0.00368, 0.00398, 0.00573, 0.00862, 0.01245, 0.02001, 0.02583, 0.02949, 0.03074, 0.02949, 0.02583, 0.02001, + 0.01245, 0.00862, 0.00573, 0.00413, 0.00378, 0.00424, 0.00393, 0.00374, 0.00367, 0.00374, 0.00393, 0.00424, 0.00378, 0.00413, 0.00792, 0.02281, 0.04023, 0.05028, 0.05403, 0.05060, 0.04023, 0.02408, 0.00792, 0.00396, 0.00352, 0.00312, 0.00301, 0.00311, 0.00352, 0.00405, 0.01289, 0.06165, 0.06168, 0.06168, 0.06168, 0.06165, 0.01289, 0.00279, 0.00248, 0.00240, 0.00248, + 0.00279, 0.00326, 0.00326, 0.00349, 0.00359, 0.00349, 0.00326, 0.00308, 0.00302, 0.00308, 0.00326, 0.00351, 0.00378, 0.00398, 0.00405, 0.00398, 0.00378, 0.00353, 0.00326, 0.00307, 0.00294, 0.00288, 0.00286, 0.00287, 0.00294, 0.00306, 0.00329, 0.00364, 0.00404, 0.00441, 0.00467, 0.00477, 0.00467, 0.00441, 0.00404, 0.00364, 0.00329, 0.00304, 0.00289, 0.00282, 0.00281, + 0.00280, 0.00281, 0.00282, 0.00289, 0.00304, 0.00341, 0.00389, 0.00448, 0.00509, 0.00562, 0.00598, 0.00611, 0.00598, 0.00562, 0.00509, 0.00448, 0.00389, 0.00341, 0.00307, 0.00288, 0.00283, 0.00285, 0.00289, 0.00291, 0.00289, 0.00285, 0.00283, 0.00288, 0.00307, 17.19799, 0.00467, 0.00586, 0.00713, 0.00877, 0.01141, 0.01229, 0.01141, 0.00877, 0.00713, 0.00586, 0.00467, + 0.00372, 0.00313, 0.00289, 0.00293, 0.00312, 0.00330, 0.00336, 0.00330, 0.00312, 0.00293, 0.00289, 0.00313, 0.00451, 0.00678, 0.00980, 0.01574, 0.02033, 0.02321, 0.02419, 0.02321, 0.02033, 0.01574, 0.00980, 0.00678, 0.00451, 0.00325, 0.00297, 0.00334, 0.00309, 0.00294, 0.00289, 0.00294, 0.00309, 0.00334, 0.00297, 0.00325, 0.00624, 0.01795, 0.03166, 0.03957, 0.04251, + 0.03981, 0.03166, 0.01895, 0.00624, 0.00312, 0.00277, 0.00245, 0.00237, 0.00244, 0.00277, 0.00318, 0.01015, 0.04851, 0.04853, 0.04854, 0.04853, 0.04851, 0.01015, 0.00219, 0.00195, 0.00189, 0.00195, 0.00219, 0.00225, 0.00225, 0.00241, 0.00248, 0.00241, 0.00225, 0.00213, 0.00209, 0.00213, 0.00226, 0.00243, 0.00262, 0.00275, 0.00280, 0.00275, 0.00262, 0.00244, 0.00226, + 0.00212, 0.00203, 0.00199, 0.00198, 0.00199, 0.00203, 0.00212, 0.00228, 0.00252, 0.00279, 0.00305, 0.00323, 0.00330, 0.00323, 0.00305, 0.00279, 0.00252, 0.00228, 0.00210, 0.00200, 0.00195, 0.00194, 0.00194, 0.00194, 0.00195, 0.00200, 0.00210, 0.00236, 0.00269, 0.00310, 0.00352, 0.00389, 0.00414, 0.00423, 0.00414, 0.00389, 0.00352, 0.00310, 0.00269, 0.00236, 0.00212, + 0.00199, 0.00196, 0.00197, 0.00200, 0.00201, 0.00200, 0.00197, 0.00196, 0.00199, 0.00212, 0.00258, 21.64667, 0.00405, 0.00493, 0.00606, 0.00789, 0.00850, 0.00789, 0.00606, 0.00493, 0.00405, 0.00323, 0.00258, 0.00216, 0.00200, 0.00203, 0.00216, 0.00228, 0.00233, 0.00228, 0.00216, 0.00203, 0.00200, 0.00216, 0.00312, 0.00469, 0.00678, 0.01089, 0.01406, 0.01605, 0.01673, + 0.01605, 0.01406, 0.01089, 0.00678, 0.00469, 0.00312, 0.00225, 0.00206, 0.00231, 0.00214, 0.00203, 0.00200, 0.00203, 0.00214, 0.00231, 0.00206, 0.00225, 0.00431, 0.01242, 0.02189, 0.02736, 0.02940, 0.02753, 0.02189, 0.01310, 0.00431, 0.00215, 0.00192, 0.00170, 0.00164, 0.00169, 0.00192, 0.00220, 0.00702, 0.03354, 0.03356, 0.03357, 0.03356, 0.03354, 0.00702, 0.00152, + 0.00135, 0.00130, 0.00135, 0.00152, 0.00132, 0.00132, 0.00141, 0.00145, 0.00141, 0.00132, 0.00124, 0.00122, 0.00124, 0.00132, 0.00142, 0.00153, 0.00161, 0.00164, 0.00161, 0.00153, 0.00142, 0.00132, 0.00124, 0.00119, 0.00116, 0.00115, 0.00116, 0.00119, 0.00124, 0.00133, 0.00147, 0.00163, 0.00178, 0.00189, 0.00193, 0.00189, 0.00178, 0.00163, 0.00147, 0.00133, 0.00123, + 0.00117, 0.00114, 0.00113, 0.00113, 0.00113, 0.00114, 0.00117, 0.00123, 0.00138, 0.00157, 0.00181, 0.00206, 0.00227, 0.00242, 0.00247, 0.00242, 0.00227, 0.00206, 0.00181, 0.00157, 0.00138, 0.00124, 0.00116, 0.00114, 0.00115, 0.00117, 0.00118, 0.00117, 0.00115, 0.00114, 0.00116, 0.00124, 0.00150, 0.00189, 25.79177, 0.00288, 0.00354, 0.00461, 0.00497, 0.00461, 0.00354, + 0.00288, 0.00237, 0.00189, 0.00150, 0.00127, 0.00117, 0.00118, 0.00126, 0.00133, 0.00136, 0.00133, 0.00126, 0.00118, 0.00117, 0.00127, 0.00182, 0.00274, 0.00396, 0.00636, 0.00821, 0.00938, 0.00978, 0.00938, 0.00821, 0.00636, 0.00396, 0.00274, 0.00182, 0.00131, 0.00120, 0.00135, 0.00125, 0.00119, 0.00117, 0.00119, 0.00125, 0.00135, 0.00120, 0.00131, 0.00252, 0.00726, + 0.01279, 0.01599, 0.01718, 0.01609, 0.01279, 0.00766, 0.00252, 0.00126, 0.00112, 0.00099, 0.00096, 0.00099, 0.00112, 0.00129, 0.00410, 0.01960, 0.01961, 0.01962, 0.01961, 0.01960, 0.00410, 0.00089, 0.00079, 0.00076, 0.00079, 0.00089, 0.00051, 0.00051, 0.00055, 0.00057, 0.00055, 0.00051, 0.00048, 0.00047, 0.00048, 0.00051, 0.00055, 0.00059, 0.00063, 0.00064, 0.00063, + 0.00059, 0.00055, 0.00051, 0.00048, 0.00046, 0.00045, 0.00045, 0.00045, 0.00046, 0.00048, 0.00052, 0.00057, 0.00064, 0.00069, 0.00073, 0.00075, 0.00073, 0.00069, 0.00064, 0.00057, 0.00052, 0.00048, 0.00045, 0.00044, 0.00044, 0.00044, 0.00044, 0.00044, 0.00045, 0.00048, 0.00054, 0.00061, 0.00071, 0.00080, 0.00088, 0.00094, 0.00096, 0.00094, 0.00088, 0.00080, 0.00071, + 0.00061, 0.00054, 0.00048, 0.00045, 0.00044, 0.00045, 0.00045, 0.00046, 0.00045, 0.00045, 0.00044, 0.00045, 0.00048, 0.00059, 0.00073, 0.00092, 29.35075, 0.00138, 0.00179, 0.00193, 0.00179, 0.00138, 0.00112, 0.00092, 0.00073, 0.00059, 0.00049, 0.00045, 0.00046, 0.00049, 0.00052, 0.00053, 0.00052, 0.00049, 0.00046, 0.00045, 0.00049, 0.00071, 0.00107, 0.00154, 0.00248, + 0.00320, 0.00365, 0.00381, 0.00365, 0.00320, 0.00248, 0.00154, 0.00107, 0.00071, 0.00051, 0.00047, 0.00052, 0.00049, 0.00046, 0.00045, 0.00046, 0.00049, 0.00052, 0.00047, 0.00051, 0.00098, 0.00282, 0.00498, 0.00622, 0.00669, 0.00626, 0.00498, 0.00298, 0.00098, 0.00049, 0.00044, 0.00039, 0.00037, 0.00038, 0.00044, 0.00050, 0.00160, 0.00763, 0.00763, 0.00764, 0.00763, + 0.00763, 0.00160, 0.00034, 0.00031, 0.00030, 0.00031, 0.00034, 0.00071, 0.00071, 0.00062, 0.00058, 0.00062, 0.00071, 0.00079, 0.00083, 0.00079, 0.00071, 0.00061, 0.00053, 0.00047, 0.00045, 0.00047, 0.00053, 0.00061, 0.00071, 0.00080, 0.00089, 0.00094, 0.00096, 0.00094, 0.00089, 0.00081, 0.00071, 0.00058, 0.00047, 0.00038, 0.00033, 0.00031, 0.00033, 0.00038, 0.00047, + 0.00058, 0.00071, 0.00083, 0.00094, 0.00103, 0.00109, 0.00111, 0.00109, 0.00103, 0.00094, 0.00083, 0.00071, 0.00056, 0.00042, 0.00030, 0.00020, 0.00015, 0.00013, 0.00015, 0.00020, 0.00030, 0.00042, 0.00056, 0.00071, 0.00086, 0.00100, 0.00112, 0.00121, 0.00127, 0.00129, 0.00127, 0.00121, 0.00112, 0.00100, 0.00086, 0.00071, 0.00049, 0.00030, 0.00013, 31.15578, 0.00003, + 0.00003, 0.00003, 0.00002, 0.00013, 0.00030, 0.00049, 0.00071, 0.00092, 0.00112, 0.00130, 0.00143, 0.00151, 0.00154, 0.00151, 0.00143, 0.00130, 0.00112, 0.00092, 0.00071, 0.00040, 0.00012, 0.00003, 0.00004, 0.00005, 0.00005, 0.00005, 0.00004, 0.00003, 0.00012, 0.00040, 0.00071, 0.00102, 0.00131, 0.00154, 0.00154, 0.00154, 0.00154, 0.00154, 0.00154, 0.00154, 0.00131, + 0.00102, 0.00071, 0.00004, 0.00007, 0.00009, 0.00009, 0.00009, 0.00007, 0.00004, 0.00071, 0.00143, 0.00154, 0.00154, 0.00154, 0.00154, 0.00154, 0.00146, 0.00072, 0.00011, 0.00012, 0.00012, 0.00012, 0.00011, 0.00072, 0.00154, 0.00154, 0.00154, 0.00154, 0.00154, 0.00333, 0.00333, 0.00292, 0.00275, 0.00292, 0.00333, 0.00374, 0.00391, 0.00374, 0.00333, 0.00288, 0.00249, + 0.00223, 0.00214, 0.00223, 0.00249, 0.00286, 0.00333, 0.00378, 0.00417, 0.00443, 0.00453, 0.00444, 0.00417, 0.00380, 0.00333, 0.00275, 0.00222, 0.00180, 0.00154, 0.00144, 0.00154, 0.00180, 0.00222, 0.00275, 0.00333, 0.00392, 0.00444, 0.00486, 0.00513, 0.00523, 0.00513, 0.00486, 0.00444, 0.00392, 0.00333, 0.00262, 0.00196, 0.00139, 0.00096, 0.00069, 0.00059, 0.00069, + 0.00096, 0.00139, 0.00196, 0.00262, 0.00333, 0.00404, 0.00471, 0.00528, 0.00572, 0.00600, 0.00609, 0.00600, 0.00572, 0.00528, 0.00471, 0.00404, 0.00333, 0.00233, 0.00139, 0.00059, 0.00009, 29.43856, 0.00013, 0.00012, 0.00009, 0.00059, 0.00139, 0.00233, 0.00333, 0.00434, 0.00529, 0.00610, 0.00673, 0.00713, 0.00726, 0.00713, 0.00673, 0.00610, 0.00529, 0.00434, 0.00334, + 0.00189, 0.00054, 0.00016, 0.00021, 0.00024, 0.00025, 0.00024, 0.00021, 0.00016, 0.00054, 0.00189, 0.00334, 0.00481, 0.00618, 0.00726, 0.00726, 0.00725, 0.00725, 0.00725, 0.00726, 0.00726, 0.00618, 0.00481, 0.00336, 0.00019, 0.00033, 0.00041, 0.00044, 0.00041, 0.00033, 0.00020, 0.00336, 0.00672, 0.00725, 0.00725, 0.00725, 0.00725, 0.00725, 0.00687, 0.00340, 0.00051, + 0.00057, 0.00058, 0.00057, 0.00051, 0.00340, 0.00725, 0.00724, 0.00724, 0.00724, 0.00725, 0.00422, 0.00422, 0.00371, 0.00349, 0.00371, 0.00422, 0.00474, 0.00496, 0.00474, 0.00422, 0.00366, 0.00316, 0.00283, 0.00271, 0.00282, 0.00316, 0.00363, 0.00422, 0.00479, 0.00530, 0.00562, 0.00574, 0.00563, 0.00530, 0.00482, 0.00422, 0.00348, 0.00282, 0.00229, 0.00195, 0.00183, + 0.00195, 0.00229, 0.00282, 0.00348, 0.00422, 0.00497, 0.00564, 0.00617, 0.00651, 0.00663, 0.00651, 0.00617, 0.00564, 0.00497, 0.00423, 0.00332, 0.00249, 0.00177, 0.00122, 0.00087, 0.00075, 0.00087, 0.00122, 0.00177, 0.00249, 0.00332, 0.00423, 0.00513, 0.00597, 0.00670, 0.00726, 0.00761, 0.00773, 0.00761, 0.00726, 0.00670, 0.00597, 0.00513, 0.00423, 0.00295, 0.00177, + 0.00075, 0.00012, 0.00015, 28.85286, 0.00015, 0.00012, 0.00075, 0.00177, 0.00295, 0.00423, 0.00551, 0.00671, 0.00774, 0.00854, 0.00904, 0.00921, 0.00904, 0.00854, 0.00774, 0.00671, 0.00551, 0.00424, 0.00240, 0.00069, 0.00021, 0.00027, 0.00030, 0.00032, 0.00030, 0.00027, 0.00021, 0.00069, 0.00240, 0.00424, 0.00610, 0.00784, 0.00921, 0.00921, 0.00920, 0.00920, 0.00920, + 0.00921, 0.00921, 0.00784, 0.00610, 0.00426, 0.00024, 0.00041, 0.00052, 0.00056, 0.00052, 0.00041, 0.00025, 0.00426, 0.00853, 0.00920, 0.00920, 0.00920, 0.00920, 0.00920, 0.00872, 0.00432, 0.00065, 0.00072, 0.00073, 0.00072, 0.00065, 0.00432, 0.00919, 0.00919, 0.00919, 0.00919, 0.00919, 0.00333, 0.00333, 0.00292, 0.00275, 0.00292, 0.00333, 0.00374, 0.00391, 0.00374, + 0.00333, 0.00288, 0.00249, 0.00223, 0.00214, 0.00223, 0.00249, 0.00286, 0.00333, 0.00378, 0.00417, 0.00443, 0.00453, 0.00444, 0.00417, 0.00380, 0.00333, 0.00275, 0.00222, 0.00180, 0.00154, 0.00144, 0.00154, 0.00180, 0.00222, 0.00275, 0.00333, 0.00392, 0.00444, 0.00486, 0.00513, 0.00523, 0.00513, 0.00486, 0.00444, 0.00392, 0.00333, 0.00262, 0.00196, 0.00139, 0.00096, + 0.00069, 0.00059, 0.00069, 0.00096, 0.00139, 0.00196, 0.00262, 0.00333, 0.00404, 0.00471, 0.00528, 0.00572, 0.00600, 0.00609, 0.00600, 0.00572, 0.00528, 0.00471, 0.00404, 0.00333, 0.00233, 0.00139, 0.00059, 0.00009, 0.00012, 0.00013, 29.43856, 0.00009, 0.00059, 0.00139, 0.00233, 0.00333, 0.00434, 0.00529, 0.00610, 0.00673, 0.00713, 0.00726, 0.00713, 0.00673, 0.00610, + 0.00529, 0.00434, 0.00334, 0.00189, 0.00054, 0.00016, 0.00021, 0.00024, 0.00025, 0.00024, 0.00021, 0.00016, 0.00054, 0.00189, 0.00334, 0.00481, 0.00618, 0.00726, 0.00726, 0.00725, 0.00725, 0.00725, 0.00726, 0.00726, 0.00618, 0.00481, 0.00336, 0.00019, 0.00033, 0.00041, 0.00044, 0.00041, 0.00033, 0.00020, 0.00336, 0.00672, 0.00725, 0.00725, 0.00725, 0.00725, 0.00725, + 0.00687, 0.00340, 0.00051, 0.00057, 0.00058, 0.00057, 0.00051, 0.00340, 0.00725, 0.00724, 0.00724, 0.00724, 0.00725, 0.00071, 0.00071, 0.00062, 0.00058, 0.00062, 0.00071, 0.00079, 0.00083, 0.00079, 0.00071, 0.00061, 0.00053, 0.00047, 0.00045, 0.00047, 0.00053, 0.00061, 0.00071, 0.00080, 0.00089, 0.00094, 0.00096, 0.00094, 0.00089, 0.00081, 0.00071, 0.00058, 0.00047, + 0.00038, 0.00033, 0.00031, 0.00033, 0.00038, 0.00047, 0.00058, 0.00071, 0.00083, 0.00094, 0.00103, 0.00109, 0.00111, 0.00109, 0.00103, 0.00094, 0.00083, 0.00071, 0.00056, 0.00042, 0.00030, 0.00020, 0.00015, 0.00013, 0.00015, 0.00020, 0.00030, 0.00042, 0.00056, 0.00071, 0.00086, 0.00100, 0.00112, 0.00121, 0.00127, 0.00129, 0.00127, 0.00121, 0.00112, 0.00100, 0.00086, + 0.00071, 0.00049, 0.00030, 0.00013, 0.00002, 0.00003, 0.00003, 0.00003, 31.15578, 0.00013, 0.00030, 0.00049, 0.00071, 0.00092, 0.00112, 0.00130, 0.00143, 0.00151, 0.00154, 0.00151, 0.00143, 0.00130, 0.00112, 0.00092, 0.00071, 0.00040, 0.00012, 0.00003, 0.00004, 0.00005, 0.00005, 0.00005, 0.00004, 0.00003, 0.00012, 0.00040, 0.00071, 0.00102, 0.00131, 0.00154, 0.00154, + 0.00154, 0.00154, 0.00154, 0.00154, 0.00154, 0.00131, 0.00102, 0.00071, 0.00004, 0.00007, 0.00009, 0.00009, 0.00009, 0.00007, 0.00004, 0.00071, 0.00143, 0.00154, 0.00154, 0.00154, 0.00154, 0.00154, 0.00146, 0.00072, 0.00011, 0.00012, 0.00012, 0.00012, 0.00011, 0.00072, 0.00154, 0.00154, 0.00154, 0.00154, 0.00154, 0.00051, 0.00051, 0.00055, 0.00057, 0.00055, 0.00051, + 0.00048, 0.00047, 0.00048, 0.00051, 0.00055, 0.00059, 0.00063, 0.00064, 0.00063, 0.00059, 0.00055, 0.00051, 0.00048, 0.00046, 0.00045, 0.00045, 0.00045, 0.00046, 0.00048, 0.00052, 0.00057, 0.00064, 0.00069, 0.00073, 0.00075, 0.00073, 0.00069, 0.00064, 0.00057, 0.00052, 0.00048, 0.00045, 0.00044, 0.00044, 0.00044, 0.00044, 0.00044, 0.00045, 0.00048, 0.00054, 0.00061, + 0.00071, 0.00080, 0.00088, 0.00094, 0.00096, 0.00094, 0.00088, 0.00080, 0.00071, 0.00061, 0.00054, 0.00048, 0.00045, 0.00044, 0.00045, 0.00045, 0.00046, 0.00045, 0.00045, 0.00044, 0.00045, 0.00048, 0.00059, 0.00073, 0.00092, 0.00112, 0.00138, 0.00179, 0.00193, 0.00179, 0.00138, 29.35075, 0.00092, 0.00073, 0.00059, 0.00049, 0.00045, 0.00046, 0.00049, 0.00052, 0.00053, + 0.00052, 0.00049, 0.00046, 0.00045, 0.00049, 0.00071, 0.00107, 0.00154, 0.00248, 0.00320, 0.00365, 0.00381, 0.00365, 0.00320, 0.00248, 0.00154, 0.00107, 0.00071, 0.00051, 0.00047, 0.00052, 0.00049, 0.00046, 0.00045, 0.00046, 0.00049, 0.00052, 0.00047, 0.00051, 0.00098, 0.00282, 0.00498, 0.00622, 0.00669, 0.00626, 0.00498, 0.00298, 0.00098, 0.00049, 0.00044, 0.00039, + 0.00037, 0.00038, 0.00044, 0.00050, 0.00160, 0.00763, 0.00763, 0.00764, 0.00763, 0.00763, 0.00160, 0.00034, 0.00031, 0.00030, 0.00031, 0.00034, 0.00132, 0.00132, 0.00141, 0.00145, 0.00141, 0.00132, 0.00124, 0.00122, 0.00124, 0.00132, 0.00142, 0.00153, 0.00161, 0.00164, 0.00161, 0.00153, 0.00142, 0.00132, 0.00124, 0.00119, 0.00116, 0.00115, 0.00116, 0.00119, 0.00124, + 0.00133, 0.00147, 0.00163, 0.00178, 0.00189, 0.00193, 0.00189, 0.00178, 0.00163, 0.00147, 0.00133, 0.00123, 0.00117, 0.00114, 0.00113, 0.00113, 0.00113, 0.00114, 0.00117, 0.00123, 0.00138, 0.00157, 0.00181, 0.00206, 0.00227, 0.00242, 0.00247, 0.00242, 0.00227, 0.00206, 0.00181, 0.00157, 0.00138, 0.00124, 0.00116, 0.00114, 0.00115, 0.00117, 0.00118, 0.00117, 0.00115, + 0.00114, 0.00116, 0.00124, 0.00150, 0.00189, 0.00237, 0.00288, 0.00354, 0.00461, 0.00497, 0.00461, 0.00354, 0.00288, 25.79177, 0.00189, 0.00150, 0.00127, 0.00117, 0.00118, 0.00126, 0.00133, 0.00136, 0.00133, 0.00126, 0.00118, 0.00117, 0.00127, 0.00182, 0.00274, 0.00396, 0.00636, 0.00821, 0.00938, 0.00978, 0.00938, 0.00821, 0.00636, 0.00396, 0.00274, 0.00182, 0.00131, + 0.00120, 0.00135, 0.00125, 0.00119, 0.00117, 0.00119, 0.00125, 0.00135, 0.00120, 0.00131, 0.00252, 0.00726, 0.01279, 0.01599, 0.01718, 0.01609, 0.01279, 0.00766, 0.00252, 0.00126, 0.00112, 0.00099, 0.00096, 0.00099, 0.00112, 0.00129, 0.00410, 0.01960, 0.01961, 0.01962, 0.01961, 0.01960, 0.00410, 0.00089, 0.00079, 0.00076, 0.00079, 0.00089, 0.00225, 0.00225, 0.00241, + 0.00248, 0.00241, 0.00225, 0.00213, 0.00209, 0.00213, 0.00226, 0.00243, 0.00262, 0.00275, 0.00280, 0.00275, 0.00262, 0.00244, 0.00226, 0.00212, 0.00203, 0.00199, 0.00198, 0.00199, 0.00203, 0.00212, 0.00228, 0.00252, 0.00279, 0.00305, 0.00323, 0.00330, 0.00323, 0.00305, 0.00279, 0.00252, 0.00228, 0.00210, 0.00200, 0.00195, 0.00194, 0.00194, 0.00194, 0.00195, 0.00200, + 0.00210, 0.00236, 0.00269, 0.00310, 0.00352, 0.00389, 0.00414, 0.00423, 0.00414, 0.00389, 0.00352, 0.00310, 0.00269, 0.00236, 0.00212, 0.00199, 0.00196, 0.00197, 0.00200, 0.00201, 0.00200, 0.00197, 0.00196, 0.00199, 0.00212, 0.00258, 0.00323, 0.00405, 0.00493, 0.00606, 0.00789, 0.00850, 0.00789, 0.00606, 0.00493, 0.00405, 21.64667, 0.00258, 0.00216, 0.00200, 0.00203, + 0.00216, 0.00228, 0.00233, 0.00228, 0.00216, 0.00203, 0.00200, 0.00216, 0.00312, 0.00469, 0.00678, 0.01089, 0.01406, 0.01605, 0.01673, 0.01605, 0.01406, 0.01089, 0.00678, 0.00469, 0.00312, 0.00225, 0.00206, 0.00231, 0.00214, 0.00203, 0.00200, 0.00203, 0.00214, 0.00231, 0.00206, 0.00225, 0.00431, 0.01242, 0.02189, 0.02736, 0.02940, 0.02753, 0.02189, 0.01310, 0.00431, + 0.00215, 0.00192, 0.00170, 0.00164, 0.00169, 0.00192, 0.00220, 0.00702, 0.03354, 0.03356, 0.03357, 0.03356, 0.03354, 0.00702, 0.00152, 0.00135, 0.00130, 0.00135, 0.00152, 0.00326, 0.00326, 0.00349, 0.00359, 0.00349, 0.00326, 0.00308, 0.00302, 0.00308, 0.00326, 0.00351, 0.00378, 0.00398, 0.00405, 0.00398, 0.00378, 0.00353, 0.00326, 0.00307, 0.00294, 0.00288, 0.00286, + 0.00287, 0.00294, 0.00306, 0.00329, 0.00364, 0.00404, 0.00441, 0.00467, 0.00477, 0.00467, 0.00441, 0.00404, 0.00364, 0.00329, 0.00304, 0.00289, 0.00282, 0.00281, 0.00280, 0.00281, 0.00282, 0.00289, 0.00304, 0.00341, 0.00389, 0.00448, 0.00509, 0.00562, 0.00598, 0.00611, 0.00598, 0.00562, 0.00509, 0.00448, 0.00389, 0.00341, 0.00307, 0.00288, 0.00283, 0.00285, 0.00289, + 0.00291, 0.00289, 0.00285, 0.00283, 0.00288, 0.00307, 0.00372, 0.00467, 0.00586, 0.00713, 0.00877, 0.01141, 0.01229, 0.01141, 0.00877, 0.00713, 0.00586, 0.00467, 17.19799, 0.00313, 0.00289, 0.00293, 0.00312, 0.00330, 0.00336, 0.00330, 0.00312, 0.00293, 0.00289, 0.00313, 0.00451, 0.00678, 0.00980, 0.01574, 0.02033, 0.02321, 0.02419, 0.02321, 0.02033, 0.01574, 0.00980, + 0.00678, 0.00451, 0.00325, 0.00297, 0.00334, 0.00309, 0.00294, 0.00289, 0.00294, 0.00309, 0.00334, 0.00297, 0.00325, 0.00624, 0.01795, 0.03166, 0.03957, 0.04251, 0.03981, 0.03166, 0.01895, 0.00624, 0.00312, 0.00277, 0.00245, 0.00237, 0.00244, 0.00277, 0.00318, 0.01015, 0.04851, 0.04853, 0.04854, 0.04853, 0.04851, 0.01015, 0.00219, 0.00195, 0.00189, 0.00195, 0.00219, + 0.00426, 0.00426, 0.00456, 0.00470, 0.00456, 0.00426, 0.00403, 0.00395, 0.00403, 0.00427, 0.00460, 0.00495, 0.00520, 0.00530, 0.00521, 0.00495, 0.00461, 0.00427, 0.00401, 0.00384, 0.00376, 0.00374, 0.00376, 0.00384, 0.00400, 0.00431, 0.00477, 0.00529, 0.00577, 0.00611, 0.00624, 0.00611, 0.00577, 0.00529, 0.00477, 0.00431, 0.00397, 0.00378, 0.00369, 0.00367, 0.00367, + 0.00367, 0.00369, 0.00378, 0.00397, 0.00446, 0.00510, 0.00586, 0.00666, 0.00735, 0.00783, 0.00800, 0.00783, 0.00735, 0.00666, 0.00586, 0.00510, 0.00446, 0.00401, 0.00377, 0.00370, 0.00373, 0.00378, 0.00381, 0.00378, 0.00373, 0.00370, 0.00377, 0.00401, 0.00487, 0.00611, 0.00767, 0.00932, 0.01147, 0.01492, 0.01609, 0.01492, 0.01147, 0.00932, 0.00767, 0.00611, 0.00487, + 12.74920, 0.00378, 0.00383, 0.00408, 0.00432, 0.00440, 0.00432, 0.00408, 0.00383, 0.00378, 0.00410, 0.00590, 0.00887, 0.01282, 0.02060, 0.02660, 0.03037, 0.03165, 0.03037, 0.02660, 0.02060, 0.01282, 0.00887, 0.00590, 0.00425, 0.00389, 0.00436, 0.00405, 0.00385, 0.00378, 0.00385, 0.00405, 0.00436, 0.00389, 0.00425, 0.00816, 0.02349, 0.04142, 0.05177, 0.05562, 0.05209, + 0.04142, 0.02479, 0.00816, 0.00408, 0.00363, 0.00321, 0.00310, 0.00320, 0.00363, 0.00417, 0.01327, 0.06347, 0.06350, 0.06351, 0.06350, 0.06347, 0.01327, 0.00287, 0.00255, 0.00247, 0.00255, 0.00287, 0.00520, 0.00520, 0.00556, 0.00573, 0.00556, 0.00520, 0.00491, 0.00481, 0.00491, 0.00521, 0.00561, 0.00604, 0.00635, 0.00647, 0.00636, 0.00604, 0.00563, 0.00521, 0.00489, + 0.00469, 0.00459, 0.00456, 0.00459, 0.00469, 0.00488, 0.00526, 0.00582, 0.00645, 0.00704, 0.00746, 0.00761, 0.00746, 0.00704, 0.00645, 0.00582, 0.00526, 0.00485, 0.00461, 0.00450, 0.00448, 0.00448, 0.00448, 0.00450, 0.00461, 0.00485, 0.00544, 0.00621, 0.00715, 0.00812, 0.00897, 0.00955, 0.00975, 0.00955, 0.00897, 0.00812, 0.00715, 0.00621, 0.00544, 0.00489, 0.00460, + 0.00451, 0.00455, 0.00462, 0.00465, 0.00462, 0.00455, 0.00451, 0.00460, 0.00489, 0.00594, 0.00745, 0.00935, 0.01137, 0.01400, 0.01820, 0.01962, 0.01820, 0.01400, 0.01137, 0.00935, 0.00745, 0.00594, 0.00500, 8.60375, 0.00467, 0.00498, 0.00527, 0.00537, 0.00527, 0.00498, 0.00467, 0.00462, 0.00500, 0.00720, 0.01082, 0.01564, 0.02513, 0.03244, 0.03704, 0.03861, 0.03704, + 0.03244, 0.02513, 0.01564, 0.01082, 0.00720, 0.00518, 0.00474, 0.00532, 0.00494, 0.00469, 0.00461, 0.00469, 0.00494, 0.00532, 0.00474, 0.00518, 0.00995, 0.02865, 0.05052, 0.06314, 0.06784, 0.06354, 0.05052, 0.03024, 0.00995, 0.00497, 0.00442, 0.00392, 0.00378, 0.00390, 0.00442, 0.00508, 0.01619, 0.07741, 0.07745, 0.07746, 0.07745, 0.07741, 0.01619, 0.00350, 0.00311, + 0.00301, 0.00311, 0.00350, 0.00601, 0.00601, 0.00642, 0.00662, 0.00642, 0.00601, 0.00567, 0.00556, 0.00567, 0.00601, 0.00647, 0.00697, 0.00733, 0.00747, 0.00734, 0.00697, 0.00650, 0.00601, 0.00565, 0.00541, 0.00530, 0.00526, 0.00530, 0.00541, 0.00564, 0.00607, 0.00671, 0.00745, 0.00813, 0.00861, 0.00878, 0.00861, 0.00813, 0.00745, 0.00671, 0.00607, 0.00560, 0.00532, + 0.00520, 0.00517, 0.00517, 0.00517, 0.00520, 0.00532, 0.00560, 0.00628, 0.00718, 0.00826, 0.00938, 0.01036, 0.01102, 0.01126, 0.01102, 0.01036, 0.00938, 0.00826, 0.00718, 0.00628, 0.00565, 0.00531, 0.00521, 0.00525, 0.00533, 0.00537, 0.00533, 0.00525, 0.00521, 0.00531, 0.00565, 0.00686, 0.00860, 0.01080, 0.01313, 0.01616, 0.02102, 0.02265, 0.02102, 0.01616, 0.01313, + 0.01080, 0.00860, 0.00686, 0.00577, 0.00533, 5.04431, 0.00575, 0.00609, 0.00620, 0.00609, 0.00575, 0.00540, 0.00533, 0.00577, 0.00831, 0.01249, 0.01805, 0.02901, 0.03746, 0.04277, 0.04458, 0.04277, 0.03746, 0.02901, 0.01805, 0.01249, 0.00831, 0.00598, 0.00548, 0.00615, 0.00570, 0.00542, 0.00532, 0.00542, 0.00570, 0.00615, 0.00548, 0.00598, 0.01149, 0.03308, 0.05834, + 0.07291, 0.07834, 0.07336, 0.05834, 0.03492, 0.01149, 0.00574, 0.00511, 0.00452, 0.00437, 0.00451, 0.00511, 0.00587, 0.01869, 0.08938, 0.08943, 0.08944, 0.08943, 0.08938, 0.01869, 0.00404, 0.00359, 0.00348, 0.00359, 0.00404, 0.00662, 0.00662, 0.00708, 0.00730, 0.00708, 0.00662, 0.00625, 0.00613, 0.00625, 0.00663, 0.00714, 0.00768, 0.00808, 0.00824, 0.00809, 0.00768, + 0.00716, 0.00663, 0.00623, 0.00597, 0.00584, 0.00581, 0.00584, 0.00597, 0.00622, 0.00669, 0.00741, 0.00821, 0.00896, 0.00949, 0.00969, 0.00949, 0.00896, 0.00821, 0.00741, 0.00669, 0.00617, 0.00587, 0.00573, 0.00570, 0.00570, 0.00570, 0.00573, 0.00587, 0.00617, 0.00692, 0.00791, 0.00911, 0.01034, 0.01142, 0.01216, 0.01242, 0.01216, 0.01142, 0.01034, 0.00911, 0.00791, + 0.00692, 0.00623, 0.00586, 0.00575, 0.00579, 0.00588, 0.00592, 0.00588, 0.00579, 0.00575, 0.00586, 0.00623, 0.00757, 0.00948, 0.01191, 0.01448, 0.01782, 0.02318, 0.02498, 0.02318, 0.01782, 0.01448, 0.01191, 0.00948, 0.00757, 0.00636, 0.00588, 0.00595, 2.31340, 0.00671, 0.00684, 0.00671, 0.00634, 0.00595, 0.00588, 0.00636, 0.00917, 0.01378, 0.01991, 0.03199, 0.04131, + 0.04716, 0.04916, 0.04716, 0.04131, 0.03199, 0.01991, 0.01378, 0.00917, 0.00660, 0.00604, 0.00678, 0.00628, 0.00597, 0.00587, 0.00597, 0.00628, 0.00678, 0.00604, 0.00660, 0.01267, 0.03648, 0.06433, 0.08040, 0.08639, 0.08090, 0.06433, 0.03851, 0.01267, 0.00633, 0.00563, 0.00499, 0.00482, 0.00497, 0.00563, 0.00647, 0.02062, 0.09857, 0.09862, 0.09863, 0.09862, 0.09857, + 0.02062, 0.00445, 0.00396, 0.00383, 0.00396, 0.00445, 0.00701, 0.00701, 0.00750, 0.00773, 0.00750, 0.00701, 0.00662, 0.00649, 0.00662, 0.00702, 0.00756, 0.00814, 0.00855, 0.00872, 0.00857, 0.00814, 0.00758, 0.00702, 0.00660, 0.00632, 0.00619, 0.00615, 0.00618, 0.00632, 0.00658, 0.00709, 0.00784, 0.00869, 0.00949, 0.01005, 0.01025, 0.01005, 0.00949, 0.00869, 0.00784, + 0.00709, 0.00653, 0.00621, 0.00607, 0.00603, 0.00603, 0.00603, 0.00607, 0.00621, 0.00653, 0.00733, 0.00838, 0.00964, 0.01095, 0.01209, 0.01287, 0.01315, 0.01287, 0.01209, 0.01095, 0.00964, 0.00838, 0.00733, 0.00660, 0.00620, 0.00608, 0.00613, 0.00622, 0.00626, 0.00622, 0.00613, 0.00608, 0.00620, 0.00660, 0.00801, 0.01004, 0.01261, 0.01533, 0.01887, 0.02454, 0.02645, + 0.02454, 0.01887, 0.01533, 0.01261, 0.01004, 0.00801, 0.00673, 0.00622, 0.00630, 0.00671, 0.59685, 0.00724, 0.00710, 0.00671, 0.00630, 0.00622, 0.00673, 0.00971, 0.01459, 0.02108, 0.03387, 0.04373, 0.04992, 0.05204, 0.04992, 0.04373, 0.03387, 0.02108, 0.01459, 0.00971, 0.00699, 0.00640, 0.00718, 0.00665, 0.00632, 0.00621, 0.00632, 0.00665, 0.00718, 0.00640, 0.00699, + 0.01341, 0.03862, 0.06810, 0.08511, 0.09145, 0.08564, 0.06810, 0.04076, 0.01341, 0.00670, 0.00596, 0.00528, 0.00510, 0.00526, 0.00596, 0.00685, 0.02182, 0.10434, 0.10440, 0.10441, 0.10440, 0.10434, 0.02182, 0.00471, 0.00419, 0.00406, 0.00419, 0.00471, 0.00714, 0.00714, 0.00764, 0.00787, 0.00764, 0.00714, 0.00674, 0.00661, 0.00674, 0.00715, 0.00770, 0.00829, 0.00871, + 0.00888, 0.00873, 0.00829, 0.00773, 0.00715, 0.00672, 0.00644, 0.00630, 0.00626, 0.00630, 0.00644, 0.00670, 0.00722, 0.00799, 0.00886, 0.00967, 0.01024, 0.01045, 0.01024, 0.00967, 0.00886, 0.00799, 0.00722, 0.00666, 0.00633, 0.00618, 0.00615, 0.00615, 0.00615, 0.00618, 0.00633, 0.00666, 0.00747, 0.00854, 0.00982, 0.01116, 0.01232, 0.01311, 0.01339, 0.01311, 0.01232, + 0.01116, 0.00982, 0.00854, 0.00747, 0.00672, 0.00632, 0.00620, 0.00625, 0.00634, 0.00638, 0.00634, 0.00625, 0.00620, 0.00632, 0.00672, 0.00816, 0.01023, 0.01284, 0.01562, 0.01922, 0.02500, 0.02694, 0.02500, 0.01922, 0.01562, 0.01284, 0.01023, 0.00816, 0.00686, 0.00634, 0.00642, 0.00684, 0.00724, 0.01137, 0.00724, 0.00684, 0.00642, 0.00634, 0.00686, 0.00989, 0.01486, + 0.02147, 0.03451, 0.04455, 0.05087, 0.05302, 0.05087, 0.04455, 0.03451, 0.02147, 0.01486, 0.00989, 0.00712, 0.00652, 0.00731, 0.00678, 0.00644, 0.00633, 0.00644, 0.00678, 0.00731, 0.00652, 0.00712, 0.01367, 0.03935, 0.06939, 0.08672, 0.09317, 0.08726, 0.06939, 0.04153, 0.01367, 0.00683, 0.00607, 0.00538, 0.00520, 0.00536, 0.00607, 0.00698, 0.02224, 0.10631, 0.10637, + 0.10638, 0.10637, 0.10631, 0.02224, 0.00480, 0.00427, 0.00414, 0.00427, 0.00480, 0.00701, 0.00701, 0.00750, 0.00773, 0.00750, 0.00701, 0.00662, 0.00649, 0.00662, 0.00702, 0.00756, 0.00814, 0.00855, 0.00872, 0.00857, 0.00814, 0.00758, 0.00702, 0.00660, 0.00632, 0.00619, 0.00615, 0.00618, 0.00632, 0.00658, 0.00709, 0.00784, 0.00869, 0.00949, 0.01005, 0.01025, 0.01005, + 0.00949, 0.00869, 0.00784, 0.00709, 0.00653, 0.00621, 0.00607, 0.00603, 0.00603, 0.00603, 0.00607, 0.00621, 0.00653, 0.00733, 0.00838, 0.00964, 0.01095, 0.01209, 0.01287, 0.01315, 0.01287, 0.01209, 0.01095, 0.00964, 0.00838, 0.00733, 0.00660, 0.00620, 0.00608, 0.00613, 0.00622, 0.00626, 0.00622, 0.00613, 0.00608, 0.00620, 0.00660, 0.00801, 0.01004, 0.01261, 0.01533, + 0.01887, 0.02454, 0.02645, 0.02454, 0.01887, 0.01533, 0.01261, 0.01004, 0.00801, 0.00673, 0.00622, 0.00630, 0.00671, 0.00710, 0.00724, 0.59685, 0.00671, 0.00630, 0.00622, 0.00673, 0.00971, 0.01459, 0.02108, 0.03387, 0.04373, 0.04992, 0.05204, 0.04992, 0.04373, 0.03387, 0.02108, 0.01459, 0.00971, 0.00699, 0.00640, 0.00718, 0.00665, 0.00632, 0.00621, 0.00632, 0.00665, + 0.00718, 0.00640, 0.00699, 0.01341, 0.03862, 0.06810, 0.08511, 0.09145, 0.08564, 0.06810, 0.04076, 0.01341, 0.00670, 0.00596, 0.00528, 0.00510, 0.00526, 0.00596, 0.00685, 0.02182, 0.10434, 0.10440, 0.10441, 0.10440, 0.10434, 0.02182, 0.00471, 0.00419, 0.00406, 0.00419, 0.00471, 0.00662, 0.00662, 0.00708, 0.00730, 0.00708, 0.00662, 0.00625, 0.00613, 0.00625, 0.00663, + 0.00714, 0.00768, 0.00808, 0.00824, 0.00809, 0.00768, 0.00716, 0.00663, 0.00623, 0.00597, 0.00584, 0.00581, 0.00584, 0.00597, 0.00622, 0.00669, 0.00741, 0.00821, 0.00896, 0.00949, 0.00969, 0.00949, 0.00896, 0.00821, 0.00741, 0.00669, 0.00617, 0.00587, 0.00573, 0.00570, 0.00570, 0.00570, 0.00573, 0.00587, 0.00617, 0.00692, 0.00791, 0.00911, 0.01034, 0.01142, 0.01216, + 0.01242, 0.01216, 0.01142, 0.01034, 0.00911, 0.00791, 0.00692, 0.00623, 0.00586, 0.00575, 0.00579, 0.00588, 0.00592, 0.00588, 0.00579, 0.00575, 0.00586, 0.00623, 0.00757, 0.00948, 0.01191, 0.01448, 0.01782, 0.02318, 0.02498, 0.02318, 0.01782, 0.01448, 0.01191, 0.00948, 0.00757, 0.00636, 0.00588, 0.00595, 0.00634, 0.00671, 0.00684, 0.00671, 2.31340, 0.00595, 0.00588, + 0.00636, 0.00917, 0.01378, 0.01991, 0.03199, 0.04131, 0.04716, 0.04916, 0.04716, 0.04131, 0.03199, 0.01991, 0.01378, 0.00917, 0.00660, 0.00604, 0.00678, 0.00628, 0.00597, 0.00587, 0.00597, 0.00628, 0.00678, 0.00604, 0.00660, 0.01267, 0.03648, 0.06433, 0.08040, 0.08639, 0.08090, 0.06433, 0.03851, 0.01267, 0.00633, 0.00563, 0.00499, 0.00482, 0.00497, 0.00563, 0.00647, + 0.02062, 0.09857, 0.09862, 0.09863, 0.09862, 0.09857, 0.02062, 0.00445, 0.00396, 0.00383, 0.00396, 0.00445, 0.00601, 0.00601, 0.00642, 0.00662, 0.00642, 0.00601, 0.00567, 0.00556, 0.00567, 0.00601, 0.00647, 0.00697, 0.00733, 0.00747, 0.00734, 0.00697, 0.00650, 0.00601, 0.00565, 0.00541, 0.00530, 0.00526, 0.00530, 0.00541, 0.00564, 0.00607, 0.00671, 0.00745, 0.00813, + 0.00861, 0.00878, 0.00861, 0.00813, 0.00745, 0.00671, 0.00607, 0.00560, 0.00532, 0.00520, 0.00517, 0.00517, 0.00517, 0.00520, 0.00532, 0.00560, 0.00628, 0.00718, 0.00826, 0.00938, 0.01036, 0.01102, 0.01126, 0.01102, 0.01036, 0.00938, 0.00826, 0.00718, 0.00628, 0.00565, 0.00531, 0.00521, 0.00525, 0.00533, 0.00537, 0.00533, 0.00525, 0.00521, 0.00531, 0.00565, 0.00686, + 0.00860, 0.01080, 0.01313, 0.01616, 0.02102, 0.02265, 0.02102, 0.01616, 0.01313, 0.01080, 0.00860, 0.00686, 0.00577, 0.00533, 0.00540, 0.00575, 0.00609, 0.00620, 0.00609, 0.00575, 5.04431, 0.00533, 0.00577, 0.00831, 0.01249, 0.01805, 0.02901, 0.03746, 0.04277, 0.04458, 0.04277, 0.03746, 0.02901, 0.01805, 0.01249, 0.00831, 0.00598, 0.00548, 0.00615, 0.00570, 0.00542, + 0.00532, 0.00542, 0.00570, 0.00615, 0.00548, 0.00598, 0.01149, 0.03308, 0.05834, 0.07291, 0.07834, 0.07336, 0.05834, 0.03492, 0.01149, 0.00574, 0.00511, 0.00452, 0.00437, 0.00451, 0.00511, 0.00587, 0.01869, 0.08938, 0.08943, 0.08944, 0.08943, 0.08938, 0.01869, 0.00404, 0.00359, 0.00348, 0.00359, 0.00404, 0.00520, 0.00520, 0.00556, 0.00573, 0.00556, 0.00520, 0.00491, + 0.00481, 0.00491, 0.00521, 0.00561, 0.00604, 0.00635, 0.00647, 0.00636, 0.00604, 0.00563, 0.00521, 0.00489, 0.00469, 0.00459, 0.00456, 0.00459, 0.00469, 0.00488, 0.00526, 0.00582, 0.00645, 0.00704, 0.00746, 0.00761, 0.00746, 0.00704, 0.00645, 0.00582, 0.00526, 0.00485, 0.00461, 0.00450, 0.00448, 0.00448, 0.00448, 0.00450, 0.00461, 0.00485, 0.00544, 0.00621, 0.00715, + 0.00812, 0.00897, 0.00955, 0.00975, 0.00955, 0.00897, 0.00812, 0.00715, 0.00621, 0.00544, 0.00489, 0.00460, 0.00451, 0.00455, 0.00462, 0.00465, 0.00462, 0.00455, 0.00451, 0.00460, 0.00489, 0.00594, 0.00745, 0.00935, 0.01137, 0.01400, 0.01820, 0.01962, 0.01820, 0.01400, 0.01137, 0.00935, 0.00745, 0.00594, 0.00500, 0.00462, 0.00467, 0.00498, 0.00527, 0.00537, 0.00527, + 0.00498, 0.00467, 8.60375, 0.00500, 0.00720, 0.01082, 0.01564, 0.02513, 0.03244, 0.03704, 0.03861, 0.03704, 0.03244, 0.02513, 0.01564, 0.01082, 0.00720, 0.00518, 0.00474, 0.00532, 0.00494, 0.00469, 0.00461, 0.00469, 0.00494, 0.00532, 0.00474, 0.00518, 0.00995, 0.02865, 0.05052, 0.06314, 0.06784, 0.06354, 0.05052, 0.03024, 0.00995, 0.00497, 0.00442, 0.00392, 0.00378, + 0.00390, 0.00442, 0.00508, 0.01619, 0.07741, 0.07745, 0.07746, 0.07745, 0.07741, 0.01619, 0.00350, 0.00311, 0.00301, 0.00311, 0.00350, 0.00426, 0.00426, 0.00456, 0.00470, 0.00456, 0.00426, 0.00403, 0.00395, 0.00403, 0.00427, 0.00460, 0.00495, 0.00520, 0.00530, 0.00521, 0.00495, 0.00461, 0.00427, 0.00401, 0.00384, 0.00376, 0.00374, 0.00376, 0.00384, 0.00400, 0.00431, + 0.00477, 0.00529, 0.00577, 0.00611, 0.00624, 0.00611, 0.00577, 0.00529, 0.00477, 0.00431, 0.00397, 0.00378, 0.00369, 0.00367, 0.00367, 0.00367, 0.00369, 0.00378, 0.00397, 0.00446, 0.00510, 0.00586, 0.00666, 0.00735, 0.00783, 0.00800, 0.00783, 0.00735, 0.00666, 0.00586, 0.00510, 0.00446, 0.00401, 0.00377, 0.00370, 0.00373, 0.00378, 0.00381, 0.00378, 0.00373, 0.00370, + 0.00377, 0.00401, 0.00487, 0.00611, 0.00767, 0.00932, 0.01147, 0.01492, 0.01609, 0.01492, 0.01147, 0.00932, 0.00767, 0.00611, 0.00487, 0.00410, 0.00378, 0.00383, 0.00408, 0.00432, 0.00440, 0.00432, 0.00408, 0.00383, 0.00378, 12.74920, 0.00590, 0.00887, 0.01282, 0.02060, 0.02660, 0.03037, 0.03165, 0.03037, 0.02660, 0.02060, 0.01282, 0.00887, 0.00590, 0.00425, 0.00389, + 0.00436, 0.00405, 0.00385, 0.00378, 0.00385, 0.00405, 0.00436, 0.00389, 0.00425, 0.00816, 0.02349, 0.04142, 0.05177, 0.05562, 0.05209, 0.04142, 0.02479, 0.00816, 0.00408, 0.00363, 0.00321, 0.00310, 0.00320, 0.00363, 0.00417, 0.01327, 0.06347, 0.06350, 0.06351, 0.06350, 0.06347, 0.01327, 0.00287, 0.00255, 0.00247, 0.00255, 0.00287, 0.00293, 0.00293, 0.00314, 0.00323, + 0.00314, 0.00293, 0.00277, 0.00271, 0.00277, 0.00294, 0.00316, 0.00340, 0.00358, 0.00365, 0.00358, 0.00340, 0.00317, 0.00294, 0.00276, 0.00264, 0.00259, 0.00257, 0.00259, 0.00264, 0.00275, 0.00296, 0.00328, 0.00364, 0.00397, 0.00420, 0.00429, 0.00420, 0.00397, 0.00364, 0.00328, 0.00296, 0.00273, 0.00260, 0.00254, 0.00252, 0.00252, 0.00252, 0.00254, 0.00260, 0.00273, + 0.00307, 0.00350, 0.00403, 0.00458, 0.00506, 0.00538, 0.00550, 0.00538, 0.00506, 0.00458, 0.00403, 0.00350, 0.00307, 0.00276, 0.00259, 0.00254, 0.00256, 0.00260, 0.00262, 0.00260, 0.00256, 0.00254, 0.00259, 0.00276, 0.00335, 0.00420, 0.00527, 0.00641, 0.00789, 0.01027, 0.01106, 0.01027, 0.00789, 0.00641, 0.00527, 0.00420, 0.00335, 0.00282, 0.00260, 0.00264, 0.00281, + 0.00297, 0.00303, 0.00297, 0.00281, 0.00264, 0.00260, 0.00282, 17.59902, 0.00610, 0.00882, 0.01417, 0.01829, 0.02089, 0.02177, 0.02089, 0.01829, 0.01417, 0.00882, 0.00610, 0.00406, 0.00292, 0.00268, 0.00300, 0.00278, 0.00265, 0.00260, 0.00265, 0.00278, 0.00300, 0.00268, 0.00292, 0.00561, 0.01616, 0.02849, 0.03560, 0.03826, 0.03583, 0.02849, 0.01706, 0.00561, 0.00280, + 0.00249, 0.00221, 0.00213, 0.00220, 0.00249, 0.00287, 0.00913, 0.04365, 0.04367, 0.04368, 0.04367, 0.04365, 0.00913, 0.00197, 0.00175, 0.00170, 0.00175, 0.00197, 0.00162, 0.00162, 0.00173, 0.00178, 0.00173, 0.00162, 0.00153, 0.00150, 0.00153, 0.00162, 0.00174, 0.00188, 0.00197, 0.00201, 0.00198, 0.00188, 0.00175, 0.00162, 0.00152, 0.00146, 0.00143, 0.00142, 0.00143, + 0.00146, 0.00152, 0.00164, 0.00181, 0.00201, 0.00219, 0.00232, 0.00237, 0.00232, 0.00219, 0.00201, 0.00181, 0.00164, 0.00151, 0.00143, 0.00140, 0.00139, 0.00139, 0.00139, 0.00140, 0.00143, 0.00151, 0.00169, 0.00193, 0.00223, 0.00253, 0.00279, 0.00297, 0.00303, 0.00297, 0.00279, 0.00253, 0.00223, 0.00193, 0.00169, 0.00152, 0.00143, 0.00140, 0.00141, 0.00144, 0.00145, + 0.00144, 0.00141, 0.00140, 0.00143, 0.00152, 0.00185, 0.00232, 0.00291, 0.00354, 0.00435, 0.00566, 0.00610, 0.00566, 0.00435, 0.00354, 0.00291, 0.00232, 0.00185, 0.00155, 0.00144, 0.00145, 0.00155, 0.00164, 0.00167, 0.00164, 0.00155, 0.00145, 0.00144, 0.00155, 0.00224, 24.21527, 0.00487, 0.00782, 0.01009, 0.01152, 0.01201, 0.01152, 0.01009, 0.00782, 0.00487, 0.00337, + 0.00224, 0.00161, 0.00148, 0.00166, 0.00154, 0.00146, 0.00143, 0.00146, 0.00154, 0.00166, 0.00148, 0.00161, 0.00310, 0.00892, 0.01572, 0.01964, 0.02111, 0.01977, 0.01572, 0.00941, 0.00310, 0.00155, 0.00138, 0.00122, 0.00118, 0.00121, 0.00138, 0.00158, 0.00504, 0.02408, 0.02410, 0.02410, 0.02410, 0.02408, 0.00504, 0.00109, 0.00097, 0.00094, 0.00097, 0.00109, 0.00039, + 0.00039, 0.00042, 0.00043, 0.00042, 0.00039, 0.00037, 0.00036, 0.00037, 0.00039, 0.00042, 0.00046, 0.00048, 0.00049, 0.00048, 0.00046, 0.00043, 0.00039, 0.00037, 0.00035, 0.00035, 0.00034, 0.00035, 0.00035, 0.00037, 0.00040, 0.00044, 0.00049, 0.00053, 0.00056, 0.00057, 0.00056, 0.00053, 0.00049, 0.00044, 0.00040, 0.00037, 0.00035, 0.00034, 0.00034, 0.00034, 0.00034, + 0.00034, 0.00035, 0.00037, 0.00041, 0.00047, 0.00054, 0.00061, 0.00068, 0.00072, 0.00074, 0.00072, 0.00068, 0.00061, 0.00054, 0.00047, 0.00041, 0.00037, 0.00035, 0.00034, 0.00034, 0.00035, 0.00035, 0.00035, 0.00034, 0.00034, 0.00035, 0.00037, 0.00045, 0.00056, 0.00071, 0.00086, 0.00106, 0.00138, 0.00148, 0.00138, 0.00106, 0.00086, 0.00071, 0.00056, 0.00045, 0.00038, + 0.00035, 0.00035, 0.00038, 0.00040, 0.00041, 0.00040, 0.00038, 0.00035, 0.00035, 0.00038, 0.00054, 0.00082, 30.37910, 0.00190, 0.00245, 0.00280, 0.00292, 0.00280, 0.00245, 0.00190, 0.00118, 0.00082, 0.00054, 0.00039, 0.00036, 0.00040, 0.00037, 0.00035, 0.00035, 0.00035, 0.00037, 0.00040, 0.00036, 0.00039, 0.00075, 0.00216, 0.00382, 0.00477, 0.00513, 0.00480, 0.00382, + 0.00228, 0.00075, 0.00038, 0.00033, 0.00030, 0.00029, 0.00029, 0.00033, 0.00038, 0.00122, 0.00585, 0.00585, 0.00585, 0.00585, 0.00585, 0.00122, 0.00026, 0.00023, 0.00023, 0.00023, 0.00026, 0.00446, 0.00446, 0.00391, 0.00368, 0.00391, 0.00446, 0.00500, 0.00523, 0.00500, 0.00446, 0.00386, 0.00333, 0.00299, 0.00286, 0.00298, 0.00333, 0.00383, 0.00446, 0.00505, 0.00559, + 0.00593, 0.00605, 0.00594, 0.00559, 0.00508, 0.00446, 0.00367, 0.00297, 0.00241, 0.00205, 0.00193, 0.00205, 0.00241, 0.00297, 0.00367, 0.00446, 0.00524, 0.00595, 0.00651, 0.00687, 0.00700, 0.00687, 0.00651, 0.00595, 0.00524, 0.00446, 0.00351, 0.00262, 0.00186, 0.00128, 0.00092, 0.00080, 0.00092, 0.00128, 0.00186, 0.00262, 0.00351, 0.00446, 0.00541, 0.00630, 0.00707, + 0.00765, 0.00802, 0.00815, 0.00802, 0.00765, 0.00707, 0.00630, 0.00541, 0.00446, 0.00312, 0.00186, 0.00079, 0.00012, 0.00016, 0.00017, 0.00016, 0.00012, 0.00079, 0.00186, 0.00312, 0.00446, 0.00581, 0.00708, 0.00817, 0.00901, 0.00953, 0.00971, 0.00953, 0.00901, 0.00817, 0.00708, 0.00581, 0.00447, 0.00253, 0.00073, 29.03832, 0.00028, 0.00032, 0.00033, 0.00032, 0.00028, + 0.00022, 0.00073, 0.00253, 0.00447, 0.00643, 0.00827, 0.00971, 0.00971, 0.00971, 0.00971, 0.00971, 0.00971, 0.00971, 0.00827, 0.00643, 0.00450, 0.00025, 0.00044, 0.00055, 0.00059, 0.00055, 0.00044, 0.00027, 0.00450, 0.00900, 0.00971, 0.00970, 0.00970, 0.00970, 0.00971, 0.00920, 0.00455, 0.00069, 0.00076, 0.00077, 0.00076, 0.00069, 0.00455, 0.00970, 0.00969, 0.00969, + 0.00969, 0.00970, 0.00991, 0.00991, 0.00870, 0.00819, 0.00870, 0.00991, 0.01113, 0.01163, 0.01113, 0.00991, 0.00858, 0.00740, 0.00665, 0.00637, 0.00662, 0.00740, 0.00853, 0.00991, 0.01124, 0.01243, 0.01319, 0.01347, 0.01321, 0.01243, 0.01130, 0.00991, 0.00817, 0.00661, 0.00537, 0.00457, 0.00430, 0.00457, 0.00537, 0.00661, 0.00817, 0.00991, 0.01166, 0.01323, 0.01448, + 0.01529, 0.01556, 0.01529, 0.01448, 0.01323, 0.01166, 0.00992, 0.00780, 0.00583, 0.00415, 0.00286, 0.00205, 0.00177, 0.00205, 0.00286, 0.00415, 0.00583, 0.00780, 0.00992, 0.01204, 0.01402, 0.01572, 0.01703, 0.01785, 0.01813, 0.01785, 0.01703, 0.01572, 0.01402, 0.01204, 0.00993, 0.00693, 0.00415, 0.00177, 0.00027, 0.00036, 0.00038, 0.00036, 0.00027, 0.00177, 0.00415, + 0.00693, 0.00993, 0.01293, 0.01575, 0.01817, 0.02004, 0.02121, 0.02161, 0.02121, 0.02004, 0.01817, 0.01575, 0.01293, 0.00995, 0.00562, 0.00162, 0.00049, 24.97583, 0.00071, 0.00074, 0.00071, 0.00063, 0.00049, 0.00162, 0.00562, 0.00995, 0.01431, 0.01840, 0.02161, 0.02160, 0.02160, 0.02160, 0.02160, 0.02160, 0.02161, 0.01840, 0.01431, 0.01001, 0.00056, 0.00097, 0.00122, + 0.00132, 0.00123, 0.00097, 0.00059, 0.01001, 0.02001, 0.02159, 0.02158, 0.02158, 0.02158, 0.02159, 0.02046, 0.01013, 0.00153, 0.00169, 0.00172, 0.00169, 0.00153, 0.01013, 0.02157, 0.02157, 0.02156, 0.02157, 0.02157, 0.01334, 0.01334, 0.01171, 0.01103, 0.01171, 0.01334, 0.01498, 0.01566, 0.01498, 0.01334, 0.01155, 0.00997, 0.00895, 0.00857, 0.00892, 0.00997, 0.01148, + 0.01334, 0.01514, 0.01673, 0.01775, 0.01813, 0.01778, 0.01673, 0.01521, 0.01334, 0.01100, 0.00889, 0.00722, 0.00615, 0.00578, 0.00615, 0.00722, 0.00889, 0.01100, 0.01334, 0.01569, 0.01781, 0.01949, 0.02057, 0.02095, 0.02057, 0.01949, 0.01781, 0.01569, 0.01335, 0.01050, 0.00785, 0.00558, 0.00385, 0.00275, 0.00238, 0.00275, 0.00385, 0.00558, 0.00785, 0.01050, 0.01335, + 0.01620, 0.01887, 0.02116, 0.02292, 0.02403, 0.02441, 0.02403, 0.02292, 0.02116, 0.01887, 0.01620, 0.01336, 0.00933, 0.00558, 0.00238, 0.00037, 0.00048, 0.00052, 0.00048, 0.00037, 0.00238, 0.00558, 0.00933, 0.01336, 0.01741, 0.02120, 0.02446, 0.02697, 0.02855, 0.02909, 0.02855, 0.02697, 0.02446, 0.02120, 0.01741, 0.01340, 0.00757, 0.00218, 0.00066, 0.00084, 22.42211, + 0.00100, 0.00096, 0.00084, 0.00066, 0.00218, 0.00757, 0.01340, 0.01926, 0.02477, 0.02909, 0.02908, 0.02907, 0.02907, 0.02907, 0.02908, 0.02909, 0.02477, 0.01926, 0.01347, 0.00075, 0.00130, 0.00164, 0.00177, 0.00166, 0.00130, 0.00080, 0.01347, 0.02694, 0.02906, 0.02905, 0.02905, 0.02905, 0.02906, 0.02754, 0.01363, 0.00206, 0.00227, 0.00231, 0.00227, 0.00206, 0.01363, + 0.02904, 0.02903, 0.02903, 0.02903, 0.02904, 0.01451, 0.01451, 0.01273, 0.01200, 0.01273, 0.01451, 0.01630, 0.01703, 0.01630, 0.01451, 0.01257, 0.01084, 0.00973, 0.00932, 0.00970, 0.01084, 0.01248, 0.01451, 0.01646, 0.01819, 0.01931, 0.01972, 0.01934, 0.01819, 0.01655, 0.01451, 0.01197, 0.00967, 0.00786, 0.00669, 0.00629, 0.00669, 0.00786, 0.00967, 0.01197, 0.01451, + 0.01707, 0.01937, 0.02120, 0.02238, 0.02278, 0.02238, 0.02120, 0.01937, 0.01707, 0.01452, 0.01142, 0.00854, 0.00607, 0.00418, 0.00300, 0.00259, 0.00300, 0.00418, 0.00607, 0.00854, 0.01142, 0.01452, 0.01762, 0.02052, 0.02302, 0.02493, 0.02614, 0.02655, 0.02614, 0.02493, 0.02302, 0.02052, 0.01762, 0.01453, 0.01015, 0.00607, 0.00259, 0.00040, 0.00052, 0.00056, 0.00052, + 0.00040, 0.00259, 0.00607, 0.01015, 0.01453, 0.01894, 0.02305, 0.02660, 0.02934, 0.03106, 0.03164, 0.03106, 0.02934, 0.02660, 0.02305, 0.01894, 0.01457, 0.00823, 0.00237, 0.00072, 0.00092, 0.00104, 21.55110, 0.00104, 0.00092, 0.00072, 0.00237, 0.00823, 0.01457, 0.02095, 0.02694, 0.03164, 0.03163, 0.03162, 0.03162, 0.03162, 0.03163, 0.03164, 0.02694, 0.02095, 0.01465, + 0.00082, 0.00142, 0.00179, 0.00193, 0.00180, 0.00142, 0.00087, 0.01465, 0.02930, 0.03161, 0.03160, 0.03159, 0.03160, 0.03161, 0.02995, 0.01483, 0.00224, 0.00247, 0.00252, 0.00247, 0.00224, 0.01483, 0.03159, 0.03157, 0.03157, 0.03157, 0.03159, 0.01334, 0.01334, 0.01171, 0.01103, 0.01171, 0.01334, 0.01498, 0.01566, 0.01498, 0.01334, 0.01155, 0.00997, 0.00895, 0.00857, + 0.00892, 0.00997, 0.01148, 0.01334, 0.01514, 0.01673, 0.01775, 0.01813, 0.01778, 0.01673, 0.01521, 0.01334, 0.01100, 0.00889, 0.00722, 0.00615, 0.00578, 0.00615, 0.00722, 0.00889, 0.01100, 0.01334, 0.01569, 0.01781, 0.01949, 0.02057, 0.02095, 0.02057, 0.01949, 0.01781, 0.01569, 0.01335, 0.01050, 0.00785, 0.00558, 0.00385, 0.00275, 0.00238, 0.00275, 0.00385, 0.00558, + 0.00785, 0.01050, 0.01335, 0.01620, 0.01887, 0.02116, 0.02292, 0.02403, 0.02441, 0.02403, 0.02292, 0.02116, 0.01887, 0.01620, 0.01336, 0.00933, 0.00558, 0.00238, 0.00037, 0.00048, 0.00052, 0.00048, 0.00037, 0.00238, 0.00558, 0.00933, 0.01336, 0.01741, 0.02120, 0.02446, 0.02697, 0.02855, 0.02909, 0.02855, 0.02697, 0.02446, 0.02120, 0.01741, 0.01340, 0.00757, 0.00218, + 0.00066, 0.00084, 0.00096, 0.00100, 22.42211, 0.00084, 0.00066, 0.00218, 0.00757, 0.01340, 0.01926, 0.02477, 0.02909, 0.02908, 0.02907, 0.02907, 0.02907, 0.02908, 0.02909, 0.02477, 0.01926, 0.01347, 0.00075, 0.00130, 0.00164, 0.00177, 0.00166, 0.00130, 0.00080, 0.01347, 0.02694, 0.02906, 0.02905, 0.02905, 0.02905, 0.02906, 0.02754, 0.01363, 0.00206, 0.00227, 0.00231, + 0.00227, 0.00206, 0.01363, 0.02904, 0.02903, 0.02903, 0.02903, 0.02904, 0.00991, 0.00991, 0.00870, 0.00819, 0.00870, 0.00991, 0.01113, 0.01163, 0.01113, 0.00991, 0.00858, 0.00740, 0.00665, 0.00637, 0.00662, 0.00740, 0.00853, 0.00991, 0.01124, 0.01243, 0.01319, 0.01347, 0.01321, 0.01243, 0.01130, 0.00991, 0.00817, 0.00661, 0.00537, 0.00457, 0.00430, 0.00457, 0.00537, + 0.00661, 0.00817, 0.00991, 0.01166, 0.01323, 0.01448, 0.01529, 0.01556, 0.01529, 0.01448, 0.01323, 0.01166, 0.00992, 0.00780, 0.00583, 0.00415, 0.00286, 0.00205, 0.00177, 0.00205, 0.00286, 0.00415, 0.00583, 0.00780, 0.00992, 0.01204, 0.01402, 0.01572, 0.01703, 0.01785, 0.01813, 0.01785, 0.01703, 0.01572, 0.01402, 0.01204, 0.00993, 0.00693, 0.00415, 0.00177, 0.00027, + 0.00036, 0.00038, 0.00036, 0.00027, 0.00177, 0.00415, 0.00693, 0.00993, 0.01293, 0.01575, 0.01817, 0.02004, 0.02121, 0.02161, 0.02121, 0.02004, 0.01817, 0.01575, 0.01293, 0.00995, 0.00562, 0.00162, 0.00049, 0.00063, 0.00071, 0.00074, 0.00071, 24.97583, 0.00049, 0.00162, 0.00562, 0.00995, 0.01431, 0.01840, 0.02161, 0.02160, 0.02160, 0.02160, 0.02160, 0.02160, 0.02161, + 0.01840, 0.01431, 0.01001, 0.00056, 0.00097, 0.00122, 0.00132, 0.00123, 0.00097, 0.00059, 0.01001, 0.02001, 0.02159, 0.02158, 0.02158, 0.02158, 0.02159, 0.02046, 0.01013, 0.00153, 0.00169, 0.00172, 0.00169, 0.00153, 0.01013, 0.02157, 0.02157, 0.02156, 0.02157, 0.02157, 0.00446, 0.00446, 0.00391, 0.00368, 0.00391, 0.00446, 0.00500, 0.00523, 0.00500, 0.00446, 0.00386, + 0.00333, 0.00299, 0.00286, 0.00298, 0.00333, 0.00383, 0.00446, 0.00505, 0.00559, 0.00593, 0.00605, 0.00594, 0.00559, 0.00508, 0.00446, 0.00367, 0.00297, 0.00241, 0.00205, 0.00193, 0.00205, 0.00241, 0.00297, 0.00367, 0.00446, 0.00524, 0.00595, 0.00651, 0.00687, 0.00700, 0.00687, 0.00651, 0.00595, 0.00524, 0.00446, 0.00351, 0.00262, 0.00186, 0.00128, 0.00092, 0.00080, + 0.00092, 0.00128, 0.00186, 0.00262, 0.00351, 0.00446, 0.00541, 0.00630, 0.00707, 0.00765, 0.00802, 0.00815, 0.00802, 0.00765, 0.00707, 0.00630, 0.00541, 0.00446, 0.00312, 0.00186, 0.00079, 0.00012, 0.00016, 0.00017, 0.00016, 0.00012, 0.00079, 0.00186, 0.00312, 0.00446, 0.00581, 0.00708, 0.00817, 0.00901, 0.00953, 0.00971, 0.00953, 0.00901, 0.00817, 0.00708, 0.00581, + 0.00447, 0.00253, 0.00073, 0.00022, 0.00028, 0.00032, 0.00033, 0.00032, 0.00028, 29.03832, 0.00073, 0.00253, 0.00447, 0.00643, 0.00827, 0.00971, 0.00971, 0.00971, 0.00971, 0.00971, 0.00971, 0.00971, 0.00827, 0.00643, 0.00450, 0.00025, 0.00044, 0.00055, 0.00059, 0.00055, 0.00044, 0.00027, 0.00450, 0.00900, 0.00971, 0.00970, 0.00970, 0.00970, 0.00971, 0.00920, 0.00455, + 0.00069, 0.00076, 0.00077, 0.00076, 0.00069, 0.00455, 0.00970, 0.00969, 0.00969, 0.00969, 0.00970, 0.00039, 0.00039, 0.00042, 0.00043, 0.00042, 0.00039, 0.00037, 0.00036, 0.00037, 0.00039, 0.00042, 0.00046, 0.00048, 0.00049, 0.00048, 0.00046, 0.00043, 0.00039, 0.00037, 0.00035, 0.00035, 0.00034, 0.00035, 0.00035, 0.00037, 0.00040, 0.00044, 0.00049, 0.00053, 0.00056, + 0.00057, 0.00056, 0.00053, 0.00049, 0.00044, 0.00040, 0.00037, 0.00035, 0.00034, 0.00034, 0.00034, 0.00034, 0.00034, 0.00035, 0.00037, 0.00041, 0.00047, 0.00054, 0.00061, 0.00068, 0.00072, 0.00074, 0.00072, 0.00068, 0.00061, 0.00054, 0.00047, 0.00041, 0.00037, 0.00035, 0.00034, 0.00034, 0.00035, 0.00035, 0.00035, 0.00034, 0.00034, 0.00035, 0.00037, 0.00045, 0.00056, + 0.00071, 0.00086, 0.00106, 0.00138, 0.00148, 0.00138, 0.00106, 0.00086, 0.00071, 0.00056, 0.00045, 0.00038, 0.00035, 0.00035, 0.00038, 0.00040, 0.00041, 0.00040, 0.00038, 0.00035, 0.00035, 0.00038, 0.00054, 0.00082, 0.00118, 0.00190, 0.00245, 0.00280, 0.00292, 0.00280, 0.00245, 0.00190, 30.37910, 0.00082, 0.00054, 0.00039, 0.00036, 0.00040, 0.00037, 0.00035, 0.00035, + 0.00035, 0.00037, 0.00040, 0.00036, 0.00039, 0.00075, 0.00216, 0.00382, 0.00477, 0.00513, 0.00480, 0.00382, 0.00228, 0.00075, 0.00038, 0.00033, 0.00030, 0.00029, 0.00029, 0.00033, 0.00038, 0.00122, 0.00585, 0.00585, 0.00585, 0.00585, 0.00585, 0.00122, 0.00026, 0.00023, 0.00023, 0.00023, 0.00026, 0.00162, 0.00162, 0.00173, 0.00178, 0.00173, 0.00162, 0.00153, 0.00150, + 0.00153, 0.00162, 0.00174, 0.00188, 0.00197, 0.00201, 0.00198, 0.00188, 0.00175, 0.00162, 0.00152, 0.00146, 0.00143, 0.00142, 0.00143, 0.00146, 0.00152, 0.00164, 0.00181, 0.00201, 0.00219, 0.00232, 0.00237, 0.00232, 0.00219, 0.00201, 0.00181, 0.00164, 0.00151, 0.00143, 0.00140, 0.00139, 0.00139, 0.00139, 0.00140, 0.00143, 0.00151, 0.00169, 0.00193, 0.00223, 0.00253, + 0.00279, 0.00297, 0.00303, 0.00297, 0.00279, 0.00253, 0.00223, 0.00193, 0.00169, 0.00152, 0.00143, 0.00140, 0.00141, 0.00144, 0.00145, 0.00144, 0.00141, 0.00140, 0.00143, 0.00152, 0.00185, 0.00232, 0.00291, 0.00354, 0.00435, 0.00566, 0.00610, 0.00566, 0.00435, 0.00354, 0.00291, 0.00232, 0.00185, 0.00155, 0.00144, 0.00145, 0.00155, 0.00164, 0.00167, 0.00164, 0.00155, + 0.00145, 0.00144, 0.00155, 0.00224, 0.00337, 0.00487, 0.00782, 0.01009, 0.01152, 0.01201, 0.01152, 0.01009, 0.00782, 0.00487, 24.21527, 0.00224, 0.00161, 0.00148, 0.00166, 0.00154, 0.00146, 0.00143, 0.00146, 0.00154, 0.00166, 0.00148, 0.00161, 0.00310, 0.00892, 0.01572, 0.01964, 0.02111, 0.01977, 0.01572, 0.00941, 0.00310, 0.00155, 0.00138, 0.00122, 0.00118, 0.00121, + 0.00138, 0.00158, 0.00504, 0.02408, 0.02410, 0.02410, 0.02410, 0.02408, 0.00504, 0.00109, 0.00097, 0.00094, 0.00097, 0.00109, 0.00293, 0.00293, 0.00314, 0.00323, 0.00314, 0.00293, 0.00277, 0.00271, 0.00277, 0.00294, 0.00316, 0.00340, 0.00358, 0.00365, 0.00358, 0.00340, 0.00317, 0.00294, 0.00276, 0.00264, 0.00259, 0.00257, 0.00259, 0.00264, 0.00275, 0.00296, 0.00328, + 0.00364, 0.00397, 0.00420, 0.00429, 0.00420, 0.00397, 0.00364, 0.00328, 0.00296, 0.00273, 0.00260, 0.00254, 0.00252, 0.00252, 0.00252, 0.00254, 0.00260, 0.00273, 0.00307, 0.00350, 0.00403, 0.00458, 0.00506, 0.00538, 0.00550, 0.00538, 0.00506, 0.00458, 0.00403, 0.00350, 0.00307, 0.00276, 0.00259, 0.00254, 0.00256, 0.00260, 0.00262, 0.00260, 0.00256, 0.00254, 0.00259, + 0.00276, 0.00335, 0.00420, 0.00527, 0.00641, 0.00789, 0.01027, 0.01106, 0.01027, 0.00789, 0.00641, 0.00527, 0.00420, 0.00335, 0.00282, 0.00260, 0.00264, 0.00281, 0.00297, 0.00303, 0.00297, 0.00281, 0.00264, 0.00260, 0.00282, 0.00406, 0.00610, 0.00882, 0.01417, 0.01829, 0.02089, 0.02177, 0.02089, 0.01829, 0.01417, 0.00882, 0.00610, 17.59902, 0.00292, 0.00268, 0.00300, + 0.00278, 0.00265, 0.00260, 0.00265, 0.00278, 0.00300, 0.00268, 0.00292, 0.00561, 0.01616, 0.02849, 0.03560, 0.03826, 0.03583, 0.02849, 0.01706, 0.00561, 0.00280, 0.00249, 0.00221, 0.00213, 0.00220, 0.00249, 0.00287, 0.00913, 0.04365, 0.04367, 0.04368, 0.04367, 0.04365, 0.00913, 0.00197, 0.00175, 0.00170, 0.00175, 0.00197, 0.00425, 0.00425, 0.00454, 0.00468, 0.00454, + 0.00425, 0.00401, 0.00393, 0.00401, 0.00425, 0.00458, 0.00493, 0.00518, 0.00528, 0.00519, 0.00493, 0.00460, 0.00425, 0.00400, 0.00383, 0.00375, 0.00372, 0.00375, 0.00383, 0.00399, 0.00429, 0.00475, 0.00527, 0.00575, 0.00609, 0.00621, 0.00609, 0.00575, 0.00527, 0.00475, 0.00429, 0.00396, 0.00376, 0.00368, 0.00366, 0.00366, 0.00366, 0.00368, 0.00376, 0.00396, 0.00444, + 0.00508, 0.00584, 0.00663, 0.00733, 0.00780, 0.00797, 0.00780, 0.00733, 0.00663, 0.00584, 0.00508, 0.00444, 0.00400, 0.00376, 0.00369, 0.00371, 0.00377, 0.00380, 0.00377, 0.00371, 0.00369, 0.00376, 0.00400, 0.00485, 0.00608, 0.00764, 0.00929, 0.01143, 0.01487, 0.01602, 0.01487, 0.01143, 0.00929, 0.00764, 0.00608, 0.00485, 0.00408, 0.00377, 0.00382, 0.00407, 0.00430, + 0.00438, 0.00430, 0.00407, 0.00382, 0.00377, 0.00408, 0.00588, 0.00884, 0.01277, 0.02052, 0.02649, 0.03025, 0.03153, 0.03025, 0.02649, 0.02052, 0.01277, 0.00884, 0.00588, 10.98225, 0.00388, 0.00435, 0.00403, 0.00383, 0.00376, 0.00383, 0.00403, 0.00435, 0.00388, 0.00423, 0.00813, 0.02340, 0.04126, 0.05157, 0.05541, 0.05189, 0.04126, 0.02470, 0.00813, 0.00406, 0.00361, + 0.00320, 0.00309, 0.00319, 0.00361, 0.00415, 0.01322, 0.06322, 0.06325, 0.06326, 0.06325, 0.06322, 0.01322, 0.00286, 0.00254, 0.00246, 0.00254, 0.00286, 0.00547, 0.00547, 0.00585, 0.00603, 0.00585, 0.00547, 0.00517, 0.00506, 0.00517, 0.00548, 0.00590, 0.00635, 0.00668, 0.00681, 0.00669, 0.00635, 0.00592, 0.00548, 0.00515, 0.00493, 0.00483, 0.00480, 0.00483, 0.00493, + 0.00514, 0.00553, 0.00612, 0.00679, 0.00741, 0.00785, 0.00801, 0.00785, 0.00741, 0.00679, 0.00612, 0.00553, 0.00510, 0.00485, 0.00474, 0.00471, 0.00471, 0.00471, 0.00474, 0.00485, 0.00510, 0.00572, 0.00654, 0.00753, 0.00855, 0.00944, 0.01005, 0.01026, 0.01005, 0.00944, 0.00855, 0.00753, 0.00654, 0.00572, 0.00515, 0.00484, 0.00475, 0.00479, 0.00486, 0.00489, 0.00486, + 0.00479, 0.00475, 0.00484, 0.00515, 0.00625, 0.00784, 0.00984, 0.01197, 0.01473, 0.01916, 0.02065, 0.01916, 0.01473, 0.01197, 0.00984, 0.00784, 0.00625, 0.00526, 0.00486, 0.00492, 0.00524, 0.00555, 0.00565, 0.00555, 0.00524, 0.00492, 0.00486, 0.00526, 0.00758, 0.01139, 0.01646, 0.02644, 0.03414, 0.03897, 0.04062, 0.03897, 0.03414, 0.02644, 0.01646, 0.01139, 0.00758, + 0.00545, 4.81699, 0.00560, 0.00519, 0.00494, 0.00485, 0.00494, 0.00519, 0.00560, 0.00499, 0.00545, 0.01047, 0.03015, 0.05316, 0.06644, 0.07139, 0.06686, 0.05316, 0.03183, 0.01047, 0.00523, 0.00465, 0.00412, 0.00398, 0.00411, 0.00465, 0.00535, 0.01704, 0.08145, 0.08150, 0.08150, 0.08150, 0.08145, 0.01704, 0.00368, 0.00327, 0.00317, 0.00327, 0.00368, 0.00642, 0.00642, + 0.00687, 0.00708, 0.00687, 0.00642, 0.00606, 0.00594, 0.00606, 0.00643, 0.00692, 0.00745, 0.00784, 0.00799, 0.00785, 0.00745, 0.00695, 0.00643, 0.00604, 0.00578, 0.00566, 0.00562, 0.00566, 0.00578, 0.00602, 0.00649, 0.00718, 0.00796, 0.00869, 0.00921, 0.00940, 0.00921, 0.00869, 0.00796, 0.00718, 0.00649, 0.00598, 0.00568, 0.00555, 0.00552, 0.00552, 0.00552, 0.00555, + 0.00568, 0.00598, 0.00671, 0.00767, 0.00884, 0.01004, 0.01109, 0.01180, 0.01205, 0.01180, 0.01109, 0.01004, 0.00884, 0.00767, 0.00671, 0.00604, 0.00567, 0.00556, 0.00560, 0.00569, 0.00573, 0.00569, 0.00560, 0.00556, 0.00567, 0.00604, 0.00734, 0.00920, 0.01156, 0.01406, 0.01730, 0.02250, 0.02425, 0.02250, 0.01730, 0.01406, 0.01156, 0.00920, 0.00734, 0.00616, 0.00569, + 0.00576, 0.00613, 0.00649, 0.00661, 0.00649, 0.00613, 0.00576, 0.00569, 0.00616, 0.00889, 0.01337, 0.01933, 0.03108, 0.04025, 0.04599, 0.04795, 0.04599, 0.04025, 0.03108, 0.01933, 0.01337, 0.00889, 0.00639, 0.00585, 0.00656, 0.00608, 0.00578, 0.00567, 0.00578, 0.00608, 0.00656, 0.00585, 0.00639, 0.01229, 0.03542, 0.06276, 0.07821, 0.08397, 0.07870, 0.06276, 0.03738, + 0.01229, 0.00613, 0.00544, 0.00482, 0.00466, 0.00480, 0.00544, 0.00626, 0.02000, 0.09529, 0.09356, 0.09291, 0.09356, 0.09529, 0.02000, 0.00430, 0.00382, 0.00370, 0.00382, 0.00430, 0.00634, 0.00634, 0.00679, 0.00701, 0.00679, 0.00634, 0.00597, 0.00584, 0.00597, 0.00634, 0.00685, 0.00739, 0.00778, 0.00794, 0.00779, 0.00739, 0.00688, 0.00634, 0.00594, 0.00567, 0.00555, + 0.00551, 0.00554, 0.00567, 0.00593, 0.00640, 0.00711, 0.00791, 0.00865, 0.00917, 0.00936, 0.00917, 0.00865, 0.00791, 0.00711, 0.00640, 0.00588, 0.00557, 0.00543, 0.00539, 0.00538, 0.00539, 0.00543, 0.00557, 0.00588, 0.00663, 0.00761, 0.00879, 0.01000, 0.01106, 0.01178, 0.01204, 0.01178, 0.01106, 0.01000, 0.00879, 0.00761, 0.00663, 0.00593, 0.00555, 0.00543, 0.00546, + 0.00554, 0.00557, 0.00554, 0.00546, 0.00543, 0.00555, 0.00593, 0.00725, 0.00914, 0.01152, 0.01404, 0.01730, 0.02250, 0.02425, 0.02250, 0.01730, 0.01404, 0.01152, 0.00914, 0.00725, 0.00605, 0.00556, 0.00561, 0.00596, 0.00631, 0.00643, 0.00631, 0.00596, 0.00561, 0.00556, 0.00605, 0.00881, 0.01332, 0.01931, 0.03123, 0.04152, 0.04777, 0.04986, 0.04777, 0.04152, 0.03123, + 0.01931, 0.01332, 0.00881, 0.00627, 0.00569, 0.00637, 0.00589, 0.00559, 0.00549, 0.00559, 0.00589, 0.00637, 0.00569, 0.00627, 0.01221, 0.03542, 0.06539, 0.07960, 0.08489, 0.08005, 0.06539, 0.03738, 0.01221, 0.00596, 0.00526, 0.00463, 0.00446, 0.00461, 0.00526, 0.00609, 0.01992, 0.09201, 0.07526, 0.06912, 0.07526, 0.09201, 0.01992, 0.00413, 0.00366, 0.00354, 0.00366, + 0.00413, 0.00628, 0.00628, 0.00675, 0.00697, 0.00675, 0.00628, 0.00591, 0.00578, 0.00591, 0.00629, 0.00681, 0.00735, 0.00775, 0.00790, 0.00776, 0.00735, 0.00683, 0.00629, 0.00588, 0.00561, 0.00548, 0.00544, 0.00547, 0.00561, 0.00587, 0.00635, 0.00707, 0.00787, 0.00862, 0.00915, 0.00934, 0.00915, 0.00862, 0.00787, 0.00707, 0.00635, 0.00582, 0.00550, 0.00535, 0.00531, + 0.00530, 0.00531, 0.00535, 0.00550, 0.00582, 0.00657, 0.00757, 0.00876, 0.00998, 0.01105, 0.01177, 0.01203, 0.01177, 0.01105, 0.00998, 0.00876, 0.00757, 0.00657, 0.00587, 0.00548, 0.00535, 0.00537, 0.00544, 0.00548, 0.00544, 0.00537, 0.00535, 0.00548, 0.00587, 0.00720, 0.00910, 0.01150, 0.01403, 0.01730, 0.02250, 0.02425, 0.02250, 0.01730, 0.01403, 0.01150, 0.00910, + 0.00720, 0.00598, 0.00547, 0.00551, 0.00586, 0.00620, 0.00632, 0.00620, 0.00586, 0.00551, 0.00547, 0.00598, 0.00875, 0.01329, 0.01931, 0.03133, 0.04231, 0.04889, 0.05107, 0.04889, 0.04231, 0.03133, 0.01931, 0.01329, 0.00875, 0.00620, 0.00559, 0.00626, 0.00578, 0.00547, 0.00537, 0.00547, 0.00578, 0.00626, 0.00559, 0.00620, 0.01215, 0.03541, 0.06704, 0.08047, 0.08548, + 0.08089, 0.06704, 0.03738, 0.01215, 0.00585, 0.00514, 0.00450, 0.00434, 0.00448, 0.00514, 0.00598, 0.01986, 0.08994, 0.06375, 0.05416, 0.06375, 0.08994, 0.01986, 0.00401, 0.00356, 0.00344, 0.00356, 0.00401, 0.00627, 0.00626, 0.00673, 0.00695, 0.00673, 0.00626, 0.00589, 0.00576, 0.00589, 0.00627, 0.00679, 0.00734, 0.00773, 0.00789, 0.00775, 0.00734, 0.00681, 0.00627, + 0.00586, 0.00559, 0.00545, 0.00541, 0.00545, 0.00559, 0.00585, 0.00633, 0.00705, 0.00786, 0.00861, 0.00914, 0.00933, 0.00914, 0.00861, 0.00786, 0.00705, 0.00633, 0.00580, 0.00548, 0.00533, 0.00528, 0.00527, 0.00528, 0.00533, 0.00548, 0.00580, 0.00655, 0.00755, 0.00875, 0.00997, 0.01104, 0.01177, 0.01203, 0.01177, 0.01104, 0.00997, 0.00875, 0.00755, 0.00655, 0.00585, + 0.00545, 0.00532, 0.00534, 0.00541, 0.00544, 0.00541, 0.00534, 0.00532, 0.00545, 0.00585, 0.00718, 0.00909, 0.01149, 0.01403, 0.01730, 0.02250, 0.02425, 0.02250, 0.01730, 0.01403, 0.01149, 0.00909, 0.00718, 0.00596, 0.00544, 0.00548, 0.00582, 0.00616, 0.00628, 0.00616, 0.00582, 0.00548, 0.00544, 0.00596, 0.00874, 0.01328, 0.01930, 0.03136, 0.04258, 0.04927, 0.05148, + 0.04927, 0.04258, 0.03136, 0.01930, 0.01328, 0.00874, 0.00617, 0.00556, 0.00622, 0.00574, 0.00543, 0.00533, 0.00543, 0.00574, 0.00622, 0.00556, 0.00617, 0.01214, 0.03541, 0.06761, 0.08077, 0.08568, 0.08118, 0.06761, 0.03738, 0.01214, 0.00581, 0.00510, 0.00446, 0.00430, 0.00444, 0.00510, 0.00594, 0.01985, 0.08924, 0.05983, 0.04906, 0.05983, 0.08924, 0.01985, 0.00398, + 0.00352, 0.00340, 0.00352, 0.00398, 0.00628, 0.00628, 0.00675, 0.00697, 0.00675, 0.00628, 0.00591, 0.00578, 0.00591, 0.00629, 0.00681, 0.00735, 0.00775, 0.00790, 0.00776, 0.00735, 0.00683, 0.00629, 0.00588, 0.00561, 0.00548, 0.00544, 0.00547, 0.00561, 0.00587, 0.00635, 0.00707, 0.00787, 0.00862, 0.00915, 0.00934, 0.00915, 0.00862, 0.00787, 0.00707, 0.00635, 0.00582, + 0.00550, 0.00535, 0.00531, 0.00530, 0.00531, 0.00535, 0.00550, 0.00582, 0.00657, 0.00757, 0.00876, 0.00998, 0.01105, 0.01177, 0.01203, 0.01177, 0.01105, 0.00998, 0.00876, 0.00757, 0.00657, 0.00587, 0.00548, 0.00535, 0.00537, 0.00544, 0.00548, 0.00544, 0.00537, 0.00535, 0.00548, 0.00587, 0.00720, 0.00910, 0.01150, 0.01403, 0.01730, 0.02250, 0.02425, 0.02250, 0.01730, + 0.01403, 0.01150, 0.00910, 0.00720, 0.00598, 0.00547, 0.00551, 0.00586, 0.00620, 0.00632, 0.00620, 0.00586, 0.00551, 0.00547, 0.00598, 0.00875, 0.01329, 0.01931, 0.03133, 0.04231, 0.04889, 0.05107, 0.04889, 0.04231, 0.03133, 0.01931, 0.01329, 0.00875, 0.00620, 0.00559, 0.00626, 0.00578, 0.00547, 0.00537, 0.00547, 0.00578, 0.00626, 0.00559, 0.00620, 0.01215, 0.03541, + 0.06704, 0.08047, 0.08548, 0.08089, 0.06704, 0.03738, 0.01215, 0.00585, 0.00514, 0.00450, 0.00434, 0.00448, 0.00514, 0.00598, 0.01986, 0.08994, 0.06375, 0.05416, 0.06375, 0.08994, 0.01986, 0.00401, 0.00356, 0.00344, 0.00356, 0.00401, 0.00634, 0.00634, 0.00679, 0.00701, 0.00679, 0.00634, 0.00597, 0.00584, 0.00597, 0.00634, 0.00685, 0.00739, 0.00778, 0.00794, 0.00779, + 0.00739, 0.00688, 0.00634, 0.00594, 0.00567, 0.00555, 0.00551, 0.00554, 0.00567, 0.00593, 0.00640, 0.00711, 0.00791, 0.00865, 0.00917, 0.00936, 0.00917, 0.00865, 0.00791, 0.00711, 0.00640, 0.00588, 0.00557, 0.00543, 0.00539, 0.00538, 0.00539, 0.00543, 0.00557, 0.00588, 0.00663, 0.00761, 0.00879, 0.01000, 0.01106, 0.01178, 0.01204, 0.01178, 0.01106, 0.01000, 0.00879, + 0.00761, 0.00663, 0.00593, 0.00555, 0.00543, 0.00546, 0.00554, 0.00557, 0.00554, 0.00546, 0.00543, 0.00555, 0.00593, 0.00725, 0.00914, 0.01152, 0.01404, 0.01730, 0.02250, 0.02425, 0.02250, 0.01730, 0.01404, 0.01152, 0.00914, 0.00725, 0.00605, 0.00556, 0.00561, 0.00596, 0.00631, 0.00643, 0.00631, 0.00596, 0.00561, 0.00556, 0.00605, 0.00881, 0.01332, 0.01931, 0.03123, + 0.04152, 0.04777, 0.04986, 0.04777, 0.04152, 0.03123, 0.01931, 0.01332, 0.00881, 0.00627, 0.00569, 0.00637, 0.00589, 0.00559, 0.00549, 0.00559, 0.00589, 0.00637, 0.00569, 0.00627, 0.01221, 0.03542, 0.06539, 0.07960, 0.08489, 0.08005, 0.06539, 0.03738, 0.01221, 0.00596, 0.00526, 0.00463, 0.00446, 0.00461, 0.00526, 0.00609, 0.01992, 0.09201, 0.07526, 0.06912, 0.07526, + 0.09201, 0.01992, 0.00413, 0.00366, 0.00354, 0.00366, 0.00413, 0.00642, 0.00642, 0.00687, 0.00708, 0.00687, 0.00642, 0.00606, 0.00594, 0.00606, 0.00643, 0.00692, 0.00745, 0.00784, 0.00799, 0.00785, 0.00745, 0.00695, 0.00643, 0.00604, 0.00578, 0.00566, 0.00562, 0.00566, 0.00578, 0.00602, 0.00649, 0.00718, 0.00796, 0.00869, 0.00921, 0.00940, 0.00921, 0.00869, 0.00796, + 0.00718, 0.00649, 0.00598, 0.00568, 0.00555, 0.00552, 0.00552, 0.00552, 0.00555, 0.00568, 0.00598, 0.00671, 0.00767, 0.00884, 0.01004, 0.01109, 0.01180, 0.01205, 0.01180, 0.01109, 0.01004, 0.00884, 0.00767, 0.00671, 0.00604, 0.00567, 0.00556, 0.00560, 0.00569, 0.00573, 0.00569, 0.00560, 0.00556, 0.00567, 0.00604, 0.00734, 0.00920, 0.01156, 0.01406, 0.01730, 0.02250, + 0.02425, 0.02250, 0.01730, 0.01406, 0.01156, 0.00920, 0.00734, 0.00616, 0.00569, 0.00576, 0.00613, 0.00649, 0.00661, 0.00649, 0.00613, 0.00576, 0.00569, 0.00616, 0.00889, 0.01337, 0.01933, 0.03108, 0.04025, 0.04599, 0.04795, 0.04599, 0.04025, 0.03108, 0.01933, 0.01337, 0.00889, 0.00639, 0.00585, 0.00656, 0.00608, 0.00578, 0.00567, 0.00578, 0.00608, 0.00656, 0.00585, + 0.00639, 0.01229, 0.03542, 0.06276, 0.07821, 0.08397, 0.07870, 0.06276, 0.03738, 0.01229, 0.00613, 0.00544, 0.00482, 0.00466, 0.00480, 0.00544, 0.00626, 0.02000, 0.09529, 0.09356, 0.09291, 0.09356, 0.09529, 0.02000, 0.00430, 0.00382, 0.00370, 0.00382, 0.00430, 0.00547, 0.00547, 0.00585, 0.00603, 0.00585, 0.00547, 0.00517, 0.00506, 0.00517, 0.00548, 0.00590, 0.00635, + 0.00668, 0.00681, 0.00669, 0.00635, 0.00592, 0.00548, 0.00515, 0.00493, 0.00483, 0.00480, 0.00483, 0.00493, 0.00514, 0.00553, 0.00612, 0.00679, 0.00741, 0.00785, 0.00801, 0.00785, 0.00741, 0.00679, 0.00612, 0.00553, 0.00510, 0.00485, 0.00474, 0.00471, 0.00471, 0.00471, 0.00474, 0.00485, 0.00510, 0.00572, 0.00654, 0.00753, 0.00855, 0.00944, 0.01005, 0.01026, 0.01005, + 0.00944, 0.00855, 0.00753, 0.00654, 0.00572, 0.00515, 0.00484, 0.00475, 0.00479, 0.00486, 0.00489, 0.00486, 0.00479, 0.00475, 0.00484, 0.00515, 0.00625, 0.00784, 0.00984, 0.01197, 0.01473, 0.01916, 0.02065, 0.01916, 0.01473, 0.01197, 0.00984, 0.00784, 0.00625, 0.00526, 0.00486, 0.00492, 0.00524, 0.00555, 0.00565, 0.00555, 0.00524, 0.00492, 0.00486, 0.00526, 0.00758, + 0.01139, 0.01646, 0.02644, 0.03414, 0.03897, 0.04062, 0.03897, 0.03414, 0.02644, 0.01646, 0.01139, 0.00758, 0.00545, 0.00499, 0.00560, 0.00519, 0.00494, 0.00485, 0.00494, 0.00519, 0.00560, 4.81699, 0.00545, 0.01047, 0.03015, 0.05316, 0.06644, 0.07139, 0.06686, 0.05316, 0.03183, 0.01047, 0.00523, 0.00465, 0.00412, 0.00398, 0.00411, 0.00465, 0.00535, 0.01704, 0.08145, + 0.08150, 0.08150, 0.08150, 0.08145, 0.01704, 0.00368, 0.00327, 0.00317, 0.00327, 0.00368, 0.00425, 0.00425, 0.00454, 0.00468, 0.00454, 0.00425, 0.00401, 0.00393, 0.00401, 0.00425, 0.00458, 0.00493, 0.00518, 0.00528, 0.00519, 0.00493, 0.00460, 0.00425, 0.00400, 0.00383, 0.00375, 0.00372, 0.00375, 0.00383, 0.00399, 0.00429, 0.00475, 0.00527, 0.00575, 0.00609, 0.00621, + 0.00609, 0.00575, 0.00527, 0.00475, 0.00429, 0.00396, 0.00376, 0.00368, 0.00366, 0.00366, 0.00366, 0.00368, 0.00376, 0.00396, 0.00444, 0.00508, 0.00584, 0.00663, 0.00733, 0.00780, 0.00797, 0.00780, 0.00733, 0.00663, 0.00584, 0.00508, 0.00444, 0.00400, 0.00376, 0.00369, 0.00371, 0.00377, 0.00380, 0.00377, 0.00371, 0.00369, 0.00376, 0.00400, 0.00485, 0.00608, 0.00764, + 0.00929, 0.01143, 0.01487, 0.01602, 0.01487, 0.01143, 0.00929, 0.00764, 0.00608, 0.00485, 0.00408, 0.00377, 0.00382, 0.00407, 0.00430, 0.00438, 0.00430, 0.00407, 0.00382, 0.00377, 0.00408, 0.00588, 0.00884, 0.01277, 0.02052, 0.02649, 0.03025, 0.03153, 0.03025, 0.02649, 0.02052, 0.01277, 0.00884, 0.00588, 0.00423, 0.00388, 0.00435, 0.00403, 0.00383, 0.00376, 0.00383, + 0.00403, 0.00435, 0.00388, 10.98225, 0.00813, 0.02340, 0.04126, 0.05157, 0.05541, 0.05189, 0.04126, 0.02470, 0.00813, 0.00406, 0.00361, 0.00320, 0.00309, 0.00319, 0.00361, 0.00415, 0.01322, 0.06322, 0.06325, 0.06326, 0.06325, 0.06322, 0.01322, 0.00286, 0.00254, 0.00246, 0.00254, 0.00286, 0.00225, 0.00225, 0.00241, 0.00248, 0.00241, 0.00225, 0.00213, 0.00208, 0.00213, + 0.00225, 0.00243, 0.00261, 0.00275, 0.00280, 0.00275, 0.00261, 0.00244, 0.00225, 0.00212, 0.00203, 0.00199, 0.00197, 0.00199, 0.00203, 0.00211, 0.00228, 0.00252, 0.00279, 0.00305, 0.00323, 0.00329, 0.00323, 0.00305, 0.00279, 0.00252, 0.00228, 0.00210, 0.00199, 0.00195, 0.00194, 0.00194, 0.00194, 0.00195, 0.00199, 0.00210, 0.00235, 0.00269, 0.00310, 0.00352, 0.00388, + 0.00413, 0.00422, 0.00413, 0.00388, 0.00352, 0.00310, 0.00269, 0.00235, 0.00212, 0.00199, 0.00195, 0.00197, 0.00200, 0.00201, 0.00200, 0.00197, 0.00195, 0.00199, 0.00212, 0.00257, 0.00322, 0.00405, 0.00492, 0.00606, 0.00788, 0.00849, 0.00788, 0.00606, 0.00492, 0.00405, 0.00322, 0.00257, 0.00216, 0.00200, 0.00202, 0.00215, 0.00228, 0.00232, 0.00228, 0.00215, 0.00202, + 0.00200, 0.00216, 0.00312, 0.00469, 0.00677, 0.01088, 0.01404, 0.01603, 0.01671, 0.01603, 0.01404, 0.01088, 0.00677, 0.00469, 0.00312, 0.00224, 0.00205, 0.00230, 0.00214, 0.00203, 0.00200, 0.00203, 0.00214, 0.00230, 0.00205, 0.00224, 12.13462, 0.01241, 0.02187, 0.02733, 0.02936, 0.02750, 0.02187, 0.01309, 0.00431, 0.00215, 0.00191, 0.00170, 0.00164, 0.00169, 0.00191, + 0.00220, 0.00701, 0.03350, 0.03352, 0.03353, 0.03352, 0.03350, 0.00701, 0.00151, 0.00135, 0.00130, 0.00135, 0.00151, 0.00044, 0.00044, 0.00039, 0.00037, 0.00039, 0.00044, 0.00050, 0.00052, 0.00050, 0.00044, 0.00039, 0.00033, 0.00030, 0.00029, 0.00030, 0.00033, 0.00038, 0.00044, 0.00050, 0.00056, 0.00059, 0.00060, 0.00059, 0.00056, 0.00051, 0.00044, 0.00037, 0.00030, + 0.00024, 0.00020, 0.00019, 0.00020, 0.00024, 0.00030, 0.00037, 0.00044, 0.00052, 0.00059, 0.00065, 0.00069, 0.00070, 0.00069, 0.00065, 0.00059, 0.00052, 0.00044, 0.00035, 0.00026, 0.00019, 0.00013, 0.00009, 0.00008, 0.00009, 0.00013, 0.00019, 0.00026, 0.00035, 0.00044, 0.00054, 0.00063, 0.00071, 0.00076, 0.00080, 0.00081, 0.00080, 0.00076, 0.00071, 0.00063, 0.00054, + 0.00045, 0.00031, 0.00019, 0.00008, 0.00001, 0.00002, 0.00002, 0.00002, 0.00001, 0.00008, 0.00019, 0.00031, 0.00045, 0.00058, 0.00071, 0.00082, 0.00090, 0.00095, 0.00097, 0.00095, 0.00090, 0.00082, 0.00071, 0.00058, 0.00045, 0.00025, 0.00007, 0.00002, 0.00003, 0.00003, 0.00003, 0.00003, 0.00003, 0.00002, 0.00007, 0.00025, 0.00045, 0.00064, 0.00083, 0.00097, 0.00097, + 0.00097, 0.00097, 0.00097, 0.00097, 0.00097, 0.00083, 0.00064, 0.00045, 22.00913, 0.00004, 0.00005, 0.00006, 0.00006, 0.00004, 0.00003, 0.00045, 0.00090, 0.00097, 0.00097, 0.00097, 0.00097, 0.00097, 0.00092, 0.00045, 0.00007, 0.00008, 0.00008, 0.00008, 0.00007, 0.00045, 0.00097, 0.00097, 0.00097, 0.00097, 0.00097, 0.01435, 0.01435, 0.01259, 0.01186, 0.01259, 0.01435, + 0.01611, 0.01684, 0.01611, 0.01435, 0.01242, 0.01072, 0.00962, 0.00921, 0.00959, 0.01072, 0.01234, 0.01435, 0.01627, 0.01799, 0.01909, 0.01950, 0.01912, 0.01799, 0.01636, 0.01435, 0.01183, 0.00956, 0.00777, 0.00661, 0.00622, 0.00661, 0.00777, 0.00956, 0.01183, 0.01435, 0.01687, 0.01915, 0.02096, 0.02212, 0.02252, 0.02212, 0.02096, 0.01915, 0.01687, 0.01435, 0.01129, + 0.00844, 0.00600, 0.00413, 0.00296, 0.00256, 0.00296, 0.00413, 0.00600, 0.00844, 0.01129, 0.01435, 0.01742, 0.02029, 0.02275, 0.02464, 0.02584, 0.02624, 0.02584, 0.02464, 0.02275, 0.02029, 0.01742, 0.01437, 0.01003, 0.00600, 0.00256, 0.00040, 0.00052, 0.00056, 0.00052, 0.00040, 0.00256, 0.00600, 0.01003, 0.01437, 0.01872, 0.02279, 0.02630, 0.02900, 0.03070, 0.03127, + 0.03070, 0.02900, 0.02630, 0.02279, 0.01872, 0.01440, 0.00814, 0.00235, 0.00071, 0.00091, 0.00103, 0.00107, 0.00103, 0.00091, 0.00071, 0.00235, 0.00814, 0.01440, 0.02071, 0.02663, 0.03127, 0.03126, 0.03126, 0.03125, 0.03126, 0.03126, 0.03127, 0.02663, 0.02071, 0.01448, 0.00081, 12.71420, 0.00177, 0.00191, 0.00178, 0.00140, 0.00086, 0.01448, 0.02896, 0.03125, 0.03123, + 0.03123, 0.03123, 0.03125, 0.02961, 0.01466, 0.00222, 0.00245, 0.00249, 0.00245, 0.00222, 0.01466, 0.03122, 0.03121, 0.03121, 0.03121, 0.03122, 0.02327, 0.02327, 0.02041, 0.01923, 0.02041, 0.02327, 0.02613, 0.02731, 0.02613, 0.02327, 0.02015, 0.01738, 0.01560, 0.01494, 0.01555, 0.01738, 0.02001, 0.02327, 0.02639, 0.02917, 0.03095, 0.03162, 0.03101, 0.02917, 0.02653, + 0.02327, 0.01919, 0.01551, 0.01260, 0.01073, 0.01008, 0.01073, 0.01260, 0.01551, 0.01919, 0.02327, 0.02736, 0.03105, 0.03399, 0.03588, 0.03653, 0.03588, 0.03399, 0.03105, 0.02736, 0.02328, 0.01831, 0.01370, 0.00974, 0.00671, 0.00480, 0.00415, 0.00480, 0.00671, 0.00974, 0.01370, 0.01831, 0.02328, 0.02825, 0.03290, 0.03690, 0.03997, 0.04191, 0.04256, 0.04191, 0.03997, + 0.03690, 0.03290, 0.02825, 0.02330, 0.01627, 0.00974, 0.00414, 0.00064, 0.00084, 0.00090, 0.00084, 0.00064, 0.00414, 0.00974, 0.01627, 0.02330, 0.03036, 0.03696, 0.04265, 0.04703, 0.04979, 0.05072, 0.04979, 0.04703, 0.04265, 0.03696, 0.03036, 0.02336, 0.01320, 0.00380, 0.00115, 0.00147, 0.00167, 0.00174, 0.00167, 0.00147, 0.00115, 0.00380, 0.01320, 0.02336, 0.03359, + 0.04319, 0.05072, 0.05071, 0.05069, 0.05069, 0.05069, 0.05071, 0.05072, 0.04319, 0.03359, 0.02349, 0.00132, 0.00227, 6.74931, 0.00309, 0.00289, 0.00227, 0.00139, 0.02349, 0.04698, 0.05068, 0.05066, 0.05065, 0.05066, 0.05068, 0.04802, 0.02377, 0.00360, 0.00397, 0.00404, 0.00397, 0.00360, 0.02377, 0.05064, 0.05062, 0.05062, 0.05062, 0.05064, 0.02659, 0.02659, 0.02333, + 0.02198, 0.02333, 0.02659, 0.02986, 0.03121, 0.02986, 0.02659, 0.02302, 0.01986, 0.01783, 0.01708, 0.01777, 0.01986, 0.02287, 0.02659, 0.03016, 0.03334, 0.03538, 0.03614, 0.03544, 0.03334, 0.03032, 0.02659, 0.02193, 0.01773, 0.01439, 0.01226, 0.01152, 0.01226, 0.01439, 0.01773, 0.02193, 0.02659, 0.03127, 0.03549, 0.03885, 0.04100, 0.04175, 0.04100, 0.03885, 0.03549, + 0.03127, 0.02660, 0.02093, 0.01565, 0.01113, 0.00766, 0.00549, 0.00475, 0.00549, 0.00766, 0.01113, 0.01565, 0.02093, 0.02660, 0.03229, 0.03760, 0.04217, 0.04568, 0.04789, 0.04864, 0.04789, 0.04568, 0.04217, 0.03760, 0.03229, 0.02663, 0.01859, 0.01113, 0.00474, 0.00073, 0.00096, 0.00103, 0.00096, 0.00073, 0.00474, 0.01113, 0.01859, 0.02663, 0.03470, 0.04224, 0.04874, + 0.05375, 0.05690, 0.05796, 0.05690, 0.05375, 0.04874, 0.04224, 0.03470, 0.02670, 0.01509, 0.00435, 0.00132, 0.00168, 0.00191, 0.00199, 0.00191, 0.00168, 0.00132, 0.00435, 0.01509, 0.02670, 0.03839, 0.04936, 0.05797, 0.05795, 0.05794, 0.05793, 0.05794, 0.05795, 0.05797, 0.04936, 0.03839, 0.02684, 0.00150, 0.00260, 0.00328, 4.52739, 0.00330, 0.00260, 0.00159, 0.02684, + 0.05369, 0.05792, 0.05789, 0.05789, 0.05789, 0.05792, 0.05488, 0.02717, 0.00411, 0.00453, 0.00461, 0.00453, 0.00411, 0.02717, 0.05787, 0.05785, 0.05785, 0.05785, 0.05787, 0.02355, 0.02355, 0.02066, 0.01946, 0.02066, 0.02355, 0.02644, 0.02764, 0.02644, 0.02355, 0.02039, 0.01759, 0.01579, 0.01512, 0.01574, 0.01759, 0.02025, 0.02355, 0.02671, 0.02952, 0.03133, 0.03200, + 0.03138, 0.02952, 0.02685, 0.02355, 0.01942, 0.01570, 0.01275, 0.01085, 0.01020, 0.01085, 0.01275, 0.01570, 0.01942, 0.02355, 0.02769, 0.03143, 0.03440, 0.03631, 0.03697, 0.03631, 0.03440, 0.03143, 0.02769, 0.02356, 0.01853, 0.01386, 0.00985, 0.00679, 0.00486, 0.00420, 0.00486, 0.00679, 0.00985, 0.01386, 0.01853, 0.02356, 0.02859, 0.03330, 0.03734, 0.04045, 0.04241, + 0.04308, 0.04241, 0.04045, 0.03734, 0.03330, 0.02859, 0.02358, 0.01646, 0.00985, 0.00419, 0.00065, 0.00085, 0.00091, 0.00085, 0.00065, 0.00419, 0.00985, 0.01646, 0.02358, 0.03073, 0.03741, 0.04316, 0.04760, 0.05039, 0.05133, 0.05039, 0.04760, 0.04316, 0.03741, 0.03073, 0.02364, 0.01336, 0.00385, 0.00117, 0.00149, 0.00169, 0.00176, 0.00169, 0.00149, 0.00117, 0.00385, + 0.01336, 0.02364, 0.03399, 0.04371, 0.05133, 0.05131, 0.05130, 0.05130, 0.05130, 0.05131, 0.05133, 0.04371, 0.03399, 0.02377, 0.00133, 0.00230, 0.00290, 0.00313, 6.56263, 0.00230, 0.00141, 0.02377, 0.04754, 0.05129, 0.05127, 0.05126, 0.05127, 0.05129, 0.04860, 0.02406, 0.00364, 0.00401, 0.00408, 0.00401, 0.00364, 0.02406, 0.05125, 0.05123, 0.05122, 0.05123, 0.05125, + 0.01435, 0.01435, 0.01259, 0.01186, 0.01259, 0.01435, 0.01611, 0.01684, 0.01611, 0.01435, 0.01242, 0.01072, 0.00962, 0.00921, 0.00959, 0.01072, 0.01234, 0.01435, 0.01627, 0.01799, 0.01909, 0.01950, 0.01912, 0.01799, 0.01636, 0.01435, 0.01183, 0.00956, 0.00777, 0.00661, 0.00622, 0.00661, 0.00777, 0.00956, 0.01183, 0.01435, 0.01687, 0.01915, 0.02096, 0.02212, 0.02252, + 0.02212, 0.02096, 0.01915, 0.01687, 0.01435, 0.01129, 0.00844, 0.00600, 0.00413, 0.00296, 0.00256, 0.00296, 0.00413, 0.00600, 0.00844, 0.01129, 0.01435, 0.01742, 0.02029, 0.02275, 0.02464, 0.02584, 0.02624, 0.02584, 0.02464, 0.02275, 0.02029, 0.01742, 0.01437, 0.01003, 0.00600, 0.00256, 0.00040, 0.00052, 0.00056, 0.00052, 0.00040, 0.00256, 0.00600, 0.01003, 0.01437, + 0.01872, 0.02279, 0.02630, 0.02900, 0.03070, 0.03127, 0.03070, 0.02900, 0.02630, 0.02279, 0.01872, 0.01440, 0.00814, 0.00235, 0.00071, 0.00091, 0.00103, 0.00107, 0.00103, 0.00091, 0.00071, 0.00235, 0.00814, 0.01440, 0.02071, 0.02663, 0.03127, 0.03126, 0.03126, 0.03125, 0.03126, 0.03126, 0.03127, 0.02663, 0.02071, 0.01448, 0.00081, 0.00140, 0.00177, 0.00191, 0.00178, + 12.71420, 0.00086, 0.01448, 0.02896, 0.03125, 0.03123, 0.03123, 0.03123, 0.03125, 0.02961, 0.01466, 0.00222, 0.00245, 0.00249, 0.00245, 0.00222, 0.01466, 0.03122, 0.03121, 0.03121, 0.03121, 0.03122, 0.00112, 0.00112, 0.00098, 0.00092, 0.00098, 0.00112, 0.00126, 0.00131, 0.00126, 0.00112, 0.00097, 0.00084, 0.00075, 0.00072, 0.00075, 0.00084, 0.00096, 0.00112, 0.00127, + 0.00140, 0.00149, 0.00152, 0.00149, 0.00140, 0.00128, 0.00112, 0.00092, 0.00075, 0.00061, 0.00052, 0.00048, 0.00052, 0.00061, 0.00075, 0.00092, 0.00112, 0.00132, 0.00149, 0.00163, 0.00173, 0.00176, 0.00173, 0.00163, 0.00149, 0.00132, 0.00112, 0.00088, 0.00066, 0.00047, 0.00032, 0.00023, 0.00020, 0.00023, 0.00032, 0.00047, 0.00066, 0.00088, 0.00112, 0.00136, 0.00158, + 0.00177, 0.00192, 0.00201, 0.00205, 0.00201, 0.00192, 0.00177, 0.00158, 0.00136, 0.00112, 0.00078, 0.00047, 0.00020, 0.00003, 0.00004, 0.00004, 0.00004, 0.00003, 0.00020, 0.00047, 0.00078, 0.00112, 0.00146, 0.00178, 0.00205, 0.00226, 0.00239, 0.00244, 0.00239, 0.00226, 0.00205, 0.00178, 0.00146, 0.00112, 0.00063, 0.00018, 0.00006, 0.00007, 0.00008, 0.00008, 0.00008, + 0.00007, 0.00006, 0.00018, 0.00063, 0.00112, 0.00162, 0.00208, 0.00244, 0.00244, 0.00244, 0.00244, 0.00244, 0.00244, 0.00244, 0.00208, 0.00162, 0.00113, 0.00006, 0.00011, 0.00014, 0.00015, 0.00014, 0.00011, 21.55835, 0.00113, 0.00226, 0.00244, 0.00244, 0.00244, 0.00244, 0.00244, 0.00231, 0.00114, 0.00017, 0.00019, 0.00019, 0.00019, 0.00017, 0.00114, 0.00243, 0.00243, + 0.00243, 0.00243, 0.00243, 0.00225, 0.00225, 0.00241, 0.00248, 0.00241, 0.00225, 0.00213, 0.00208, 0.00213, 0.00225, 0.00243, 0.00261, 0.00275, 0.00280, 0.00275, 0.00261, 0.00244, 0.00225, 0.00212, 0.00203, 0.00199, 0.00197, 0.00199, 0.00203, 0.00211, 0.00228, 0.00252, 0.00279, 0.00305, 0.00323, 0.00329, 0.00323, 0.00305, 0.00279, 0.00252, 0.00228, 0.00210, 0.00199, + 0.00195, 0.00194, 0.00194, 0.00194, 0.00195, 0.00199, 0.00210, 0.00235, 0.00269, 0.00310, 0.00352, 0.00388, 0.00413, 0.00422, 0.00413, 0.00388, 0.00352, 0.00310, 0.00269, 0.00235, 0.00212, 0.00199, 0.00195, 0.00197, 0.00200, 0.00201, 0.00200, 0.00197, 0.00195, 0.00199, 0.00212, 0.00257, 0.00322, 0.00405, 0.00492, 0.00606, 0.00788, 0.00849, 0.00788, 0.00606, 0.00492, + 0.00405, 0.00322, 0.00257, 0.00216, 0.00200, 0.00202, 0.00215, 0.00228, 0.00232, 0.00228, 0.00215, 0.00202, 0.00200, 0.00216, 0.00312, 0.00469, 0.00677, 0.01088, 0.01404, 0.01603, 0.01671, 0.01603, 0.01404, 0.01088, 0.00677, 0.00469, 0.00312, 0.00224, 0.00205, 0.00230, 0.00214, 0.00203, 0.00200, 0.00203, 0.00214, 0.00230, 0.00205, 0.00224, 0.00431, 0.01241, 0.02187, + 0.02733, 0.02936, 0.02750, 0.02187, 0.01309, 12.13462, 0.00215, 0.00191, 0.00170, 0.00164, 0.00169, 0.00191, 0.00220, 0.00701, 0.03350, 0.03352, 0.03353, 0.03352, 0.03350, 0.00701, 0.00151, 0.00135, 0.00130, 0.00135, 0.00151, 0.00457, 0.00457, 0.00489, 0.00504, 0.00489, 0.00457, 0.00431, 0.00423, 0.00431, 0.00457, 0.00493, 0.00530, 0.00557, 0.00568, 0.00558, 0.00530, + 0.00494, 0.00457, 0.00430, 0.00412, 0.00403, 0.00401, 0.00403, 0.00412, 0.00429, 0.00462, 0.00511, 0.00567, 0.00618, 0.00655, 0.00668, 0.00655, 0.00618, 0.00567, 0.00511, 0.00462, 0.00426, 0.00405, 0.00396, 0.00393, 0.00393, 0.00393, 0.00396, 0.00405, 0.00426, 0.00478, 0.00546, 0.00628, 0.00714, 0.00788, 0.00839, 0.00857, 0.00839, 0.00788, 0.00714, 0.00628, 0.00546, + 0.00478, 0.00430, 0.00404, 0.00396, 0.00399, 0.00405, 0.00408, 0.00405, 0.00399, 0.00396, 0.00404, 0.00430, 0.00522, 0.00654, 0.00822, 0.00999, 0.01230, 0.01599, 0.01724, 0.01599, 0.01230, 0.00999, 0.00822, 0.00654, 0.00522, 0.00439, 0.00405, 0.00411, 0.00437, 0.00463, 0.00472, 0.00463, 0.00437, 0.00411, 0.00405, 0.00439, 0.00633, 0.00951, 0.01374, 0.02207, 0.02850, + 0.03253, 0.03391, 0.03253, 0.02850, 0.02207, 0.01374, 0.00951, 0.00633, 0.00455, 0.00417, 0.00468, 0.00434, 0.00412, 0.00405, 0.00412, 0.00434, 0.00468, 0.00417, 0.00455, 0.00874, 0.02517, 0.04438, 0.05546, 0.05959, 0.05581, 0.04438, 0.02657, 0.00874, 1.66113, 0.00388, 0.00344, 0.00332, 0.00343, 0.00388, 0.00446, 0.01422, 0.06799, 0.06802, 0.06803, 0.06802, 0.06799, + 0.01422, 0.00307, 0.00273, 0.00264, 0.00273, 0.00307, 0.00480, 0.00480, 0.00516, 0.00533, 0.00516, 0.00480, 0.00450, 0.00440, 0.00450, 0.00480, 0.00520, 0.00562, 0.00593, 0.00605, 0.00594, 0.00562, 0.00522, 0.00480, 0.00449, 0.00427, 0.00417, 0.00414, 0.00417, 0.00427, 0.00447, 0.00485, 0.00540, 0.00603, 0.00660, 0.00701, 0.00716, 0.00701, 0.00660, 0.00603, 0.00540, + 0.00485, 0.00444, 0.00419, 0.00407, 0.00403, 0.00403, 0.00403, 0.00407, 0.00419, 0.00444, 0.00502, 0.00579, 0.00671, 0.00765, 0.00847, 0.00903, 0.00923, 0.00903, 0.00847, 0.00765, 0.00671, 0.00579, 0.00502, 0.00447, 0.00417, 0.00406, 0.00408, 0.00413, 0.00415, 0.00413, 0.00408, 0.00406, 0.00417, 0.00447, 0.00550, 0.00697, 0.00882, 0.01077, 0.01328, 0.01727, 0.01861, + 0.01727, 0.01328, 0.01077, 0.00882, 0.00697, 0.00550, 0.00456, 0.00416, 0.00418, 0.00444, 0.00470, 0.00479, 0.00470, 0.00444, 0.00418, 0.00416, 0.00456, 0.00669, 0.01019, 0.01482, 0.02408, 0.03272, 0.03786, 0.03956, 0.03786, 0.03272, 0.02408, 0.01482, 0.01019, 0.00669, 0.00472, 0.00424, 0.00475, 0.00437, 0.00414, 0.00406, 0.00414, 0.00437, 0.00475, 0.00424, 0.00472, + 0.00930, 0.02719, 0.05229, 0.06271, 0.06631, 0.06303, 0.05229, 0.02869, 0.00930, 0.00444, 0.00388, 0.00338, 0.00326, 0.00337, 0.00388, 0.00454, 0.01522, 0.06657, 0.03566, 0.02913, 0.03566, 0.06657, 0.01522, 0.00301, 0.00266, 0.00257, 0.00266, 0.00301, 0.00477, 0.00476, 0.00513, 0.00530, 0.00513, 0.00476, 0.00447, 0.00437, 0.00447, 0.00477, 0.00517, 0.00560, 0.00591, + 0.00603, 0.00592, 0.00560, 0.00519, 0.00477, 0.00445, 0.00423, 0.00413, 0.00409, 0.00412, 0.00423, 0.00444, 0.00482, 0.00538, 0.00601, 0.00659, 0.00700, 0.00715, 0.00700, 0.00659, 0.00601, 0.00538, 0.00482, 0.00440, 0.00414, 0.00402, 0.00398, 0.00398, 0.00398, 0.00402, 0.00414, 0.00440, 0.00499, 0.00576, 0.00669, 0.00764, 0.00846, 0.00903, 0.00923, 0.00903, 0.00846, + 0.00764, 0.00669, 0.00576, 0.00499, 0.00444, 0.00412, 0.00401, 0.00402, 0.00407, 0.00410, 0.00407, 0.00402, 0.00401, 0.00412, 0.00444, 0.00547, 0.00695, 0.00880, 0.01076, 0.01328, 0.01727, 0.01861, 0.01727, 0.01328, 0.01076, 0.00880, 0.00695, 0.00547, 0.00452, 0.00411, 0.00412, 0.00438, 0.00463, 0.00472, 0.00463, 0.00438, 0.00412, 0.00411, 0.00452, 0.00666, 0.01017, + 0.01481, 0.02408, 0.03272, 0.03786, 0.03956, 0.03786, 0.03272, 0.02408, 0.01481, 0.01017, 0.00666, 0.00467, 0.00418, 0.00468, 0.00429, 0.00405, 0.00397, 0.00405, 0.00429, 0.00468, 0.00418, 0.00467, 0.00927, 0.02719, 0.05324, 0.06469, 0.06784, 0.06499, 0.05324, 0.02869, 0.00927, 0.00437, 0.00378, 0.00327, 0.00314, 0.00325, 0.00378, 0.00447, 0.01519, 0.06122, 0.00714, + 0.00600, 0.00714, 0.06122, 0.01519, 0.00290, 0.00256, 0.00246, 0.00256, 0.00290, 0.00476, 0.00476, 0.00512, 0.00529, 0.00512, 0.00476, 0.00446, 0.00436, 0.00446, 0.00477, 0.00517, 0.00560, 0.00590, 0.00603, 0.00591, 0.00560, 0.00519, 0.00477, 0.00444, 0.00423, 0.00412, 0.00409, 0.00412, 0.00423, 0.00443, 0.00481, 0.00537, 0.00600, 0.00658, 0.00700, 0.00714, 0.00700, + 0.00658, 0.00600, 0.00537, 0.00481, 0.00439, 0.00414, 0.00402, 0.00398, 0.00397, 0.00398, 0.00402, 0.00414, 0.00439, 0.00498, 0.00576, 0.00669, 0.00764, 0.00846, 0.00903, 0.00923, 0.00903, 0.00846, 0.00764, 0.00669, 0.00576, 0.00498, 0.00443, 0.00412, 0.00400, 0.00401, 0.00406, 0.00409, 0.00406, 0.00401, 0.00400, 0.00412, 0.00443, 0.00546, 0.00695, 0.00880, 0.01076, + 0.01328, 0.01727, 0.01861, 0.01727, 0.01328, 0.01076, 0.00880, 0.00695, 0.00546, 0.00451, 0.00410, 0.00411, 0.00437, 0.00462, 0.00471, 0.00462, 0.00437, 0.00411, 0.00410, 0.00451, 0.00666, 0.01017, 0.01481, 0.02408, 0.03272, 0.03786, 0.03956, 0.03786, 0.03272, 0.02408, 0.01481, 0.01017, 0.00666, 0.00466, 0.00417, 0.00466, 0.00428, 0.00404, 0.00395, 0.00404, 0.00428, + 0.00466, 0.00417, 0.00466, 0.00927, 0.02719, 0.05344, 0.06511, 0.06818, 0.06541, 0.05344, 0.02869, 0.00927, 0.00436, 0.00376, 0.00324, 0.00310, 0.00322, 0.00376, 0.00446, 0.01519, 0.05923, 0.00109, 0.00110, 0.00109, 0.05923, 0.01519, 0.00287, 0.00253, 0.00243, 0.00253, 0.00287, 0.00476, 0.00476, 0.00513, 0.00530, 0.00513, 0.00476, 0.00447, 0.00436, 0.00447, 0.00477, + 0.00517, 0.00560, 0.00591, 0.00603, 0.00592, 0.00560, 0.00519, 0.00477, 0.00445, 0.00423, 0.00412, 0.00409, 0.00412, 0.00423, 0.00444, 0.00482, 0.00538, 0.00601, 0.00659, 0.00700, 0.00715, 0.00700, 0.00659, 0.00601, 0.00538, 0.00482, 0.00440, 0.00414, 0.00402, 0.00398, 0.00398, 0.00398, 0.00402, 0.00414, 0.00440, 0.00499, 0.00576, 0.00669, 0.00764, 0.00846, 0.00903, + 0.00923, 0.00903, 0.00846, 0.00764, 0.00669, 0.00576, 0.00499, 0.00443, 0.00412, 0.00401, 0.00402, 0.00407, 0.00409, 0.00407, 0.00402, 0.00401, 0.00412, 0.00443, 0.00547, 0.00695, 0.00880, 0.01076, 0.01328, 0.01727, 0.01861, 0.01727, 0.01328, 0.01076, 0.00880, 0.00695, 0.00547, 0.00452, 0.00411, 0.00412, 0.00438, 0.00463, 0.00472, 0.00463, 0.00438, 0.00412, 0.00411, + 0.00452, 0.00666, 0.01017, 0.01481, 0.02408, 0.03272, 0.03786, 0.03956, 0.03786, 0.03272, 0.02408, 0.01481, 0.01017, 0.00666, 0.00467, 0.00418, 0.00467, 0.00429, 0.00405, 0.00397, 0.00405, 0.00429, 0.00467, 0.00418, 0.00467, 0.00927, 0.02719, 0.05327, 0.06475, 0.06789, 0.06505, 0.05327, 0.02869, 0.00927, 0.00437, 0.00378, 0.00326, 0.00313, 0.00325, 0.00378, 0.00447, + 0.01519, 0.06105, 0.00625, 0.00528, 0.00625, 0.06105, 0.01519, 0.00290, 0.00255, 0.00246, 0.00255, 0.00290, 0.00480, 0.00480, 0.00516, 0.00533, 0.00516, 0.00480, 0.00450, 0.00440, 0.00450, 0.00480, 0.00520, 0.00562, 0.00593, 0.00605, 0.00594, 0.00562, 0.00522, 0.00480, 0.00449, 0.00427, 0.00417, 0.00414, 0.00417, 0.00427, 0.00447, 0.00485, 0.00540, 0.00603, 0.00660, + 0.00701, 0.00716, 0.00701, 0.00660, 0.00603, 0.00540, 0.00485, 0.00444, 0.00419, 0.00407, 0.00403, 0.00403, 0.00403, 0.00407, 0.00419, 0.00444, 0.00502, 0.00579, 0.00671, 0.00765, 0.00847, 0.00903, 0.00923, 0.00903, 0.00847, 0.00765, 0.00671, 0.00579, 0.00502, 0.00447, 0.00417, 0.00406, 0.00408, 0.00413, 0.00415, 0.00413, 0.00408, 0.00406, 0.00417, 0.00447, 0.00550, + 0.00697, 0.00882, 0.01077, 0.01328, 0.01727, 0.01861, 0.01727, 0.01328, 0.01077, 0.00882, 0.00697, 0.00550, 0.00456, 0.00416, 0.00418, 0.00444, 0.00470, 0.00479, 0.00470, 0.00444, 0.00418, 0.00416, 0.00456, 0.00669, 0.01019, 0.01482, 0.02408, 0.03272, 0.03786, 0.03956, 0.03786, 0.03272, 0.02408, 0.01482, 0.01019, 0.00669, 0.00472, 0.00424, 0.00475, 0.00437, 0.00414, + 0.00406, 0.00414, 0.00437, 0.00475, 0.00424, 0.00472, 0.00930, 0.02719, 0.05229, 0.06271, 0.06631, 0.06303, 0.05229, 0.02869, 0.00930, 0.00444, 0.00388, 0.00338, 0.00326, 0.00337, 0.00388, 0.00454, 0.01522, 0.06657, 0.03566, 0.02913, 0.03566, 0.06657, 0.01522, 0.00301, 0.00266, 0.00257, 0.00266, 0.00301, 0.00467, 0.00467, 0.00499, 0.00515, 0.00499, 0.00467, 0.00441, + 0.00432, 0.00441, 0.00467, 0.00503, 0.00542, 0.00570, 0.00581, 0.00571, 0.00542, 0.00505, 0.00467, 0.00439, 0.00421, 0.00412, 0.00409, 0.00412, 0.00421, 0.00438, 0.00472, 0.00522, 0.00579, 0.00632, 0.00669, 0.00683, 0.00669, 0.00632, 0.00579, 0.00522, 0.00472, 0.00435, 0.00414, 0.00404, 0.00402, 0.00402, 0.00402, 0.00404, 0.00414, 0.00435, 0.00488, 0.00558, 0.00642, + 0.00729, 0.00805, 0.00857, 0.00876, 0.00857, 0.00805, 0.00729, 0.00642, 0.00558, 0.00488, 0.00439, 0.00413, 0.00405, 0.00408, 0.00414, 0.00417, 0.00414, 0.00408, 0.00405, 0.00413, 0.00439, 0.00533, 0.00669, 0.00840, 0.01021, 0.01257, 0.01634, 0.01761, 0.01634, 0.01257, 0.01021, 0.00840, 0.00669, 0.00533, 0.00448, 0.00414, 0.00420, 0.00447, 0.00473, 0.00482, 0.00473, + 0.00447, 0.00420, 0.00414, 0.00448, 0.00646, 0.00972, 0.01404, 0.02256, 0.02912, 0.03324, 0.03465, 0.03324, 0.02912, 0.02256, 0.01404, 0.00972, 0.00646, 0.00465, 0.00426, 0.00478, 0.00443, 0.00421, 0.00414, 0.00421, 0.00443, 0.00478, 0.00426, 0.00465, 0.00893, 0.02572, 0.04535, 0.05667, 0.06089, 0.05702, 0.04535, 0.02715, 0.00893, 0.00446, 0.00397, 0.00352, 0.00340, + 0.00350, 0.00397, 1.21050, 0.01453, 0.06947, 0.06951, 0.06952, 0.06951, 0.06947, 0.01453, 0.00314, 0.00279, 0.00270, 0.00279, 0.00314, 0.00078, 0.00078, 0.00083, 0.00086, 0.00083, 0.00078, 0.00073, 0.00072, 0.00073, 0.00078, 0.00084, 0.00090, 0.00095, 0.00097, 0.00095, 0.00090, 0.00084, 0.00078, 0.00073, 0.00070, 0.00068, 0.00068, 0.00068, 0.00070, 0.00073, 0.00078, + 0.00087, 0.00096, 0.00105, 0.00111, 0.00114, 0.00111, 0.00105, 0.00096, 0.00087, 0.00078, 0.00072, 0.00069, 0.00067, 0.00067, 0.00067, 0.00067, 0.00067, 0.00069, 0.00072, 0.00081, 0.00093, 0.00107, 0.00121, 0.00134, 0.00143, 0.00146, 0.00143, 0.00134, 0.00121, 0.00107, 0.00093, 0.00081, 0.00073, 0.00069, 0.00067, 0.00068, 0.00069, 0.00069, 0.00069, 0.00068, 0.00067, + 0.00069, 0.00073, 0.00089, 0.00111, 0.00140, 0.00170, 0.00209, 0.00272, 0.00293, 0.00272, 0.00209, 0.00170, 0.00140, 0.00111, 0.00089, 0.00075, 0.00069, 0.00070, 0.00074, 0.00079, 0.00080, 0.00079, 0.00074, 0.00070, 0.00069, 0.00075, 0.00107, 0.00162, 0.00234, 0.00375, 0.00484, 0.00552, 0.00576, 0.00552, 0.00484, 0.00375, 0.00234, 0.00162, 0.00107, 0.00077, 0.00071, + 0.00079, 0.00074, 0.00070, 0.00069, 0.00070, 0.00074, 0.00079, 0.00071, 0.00077, 0.00149, 0.00428, 0.00754, 0.00941, 0.01011, 0.00947, 0.00754, 0.00452, 0.00149, 0.00074, 0.00066, 0.00058, 0.00056, 0.00058, 0.00066, 0.00076, 5.22256, 0.01154, 0.01154, 0.01154, 0.01154, 0.01154, 0.00242, 0.00052, 0.00046, 0.00045, 0.00046, 0.00052, 0.01150, 0.01150, 0.01009, 0.00951, + 0.01009, 0.01150, 0.01291, 0.01350, 0.01291, 0.01150, 0.00996, 0.00860, 0.00772, 0.00740, 0.00769, 0.00860, 0.00990, 0.01150, 0.01304, 0.01441, 0.01529, 0.01562, 0.01532, 0.01441, 0.01311, 0.01150, 0.00949, 0.00768, 0.00624, 0.00532, 0.00500, 0.00532, 0.00624, 0.00768, 0.00949, 0.01150, 0.01352, 0.01534, 0.01679, 0.01772, 0.01805, 0.01772, 0.01679, 0.01534, 0.01352, + 0.01151, 0.00906, 0.00678, 0.00483, 0.00334, 0.00240, 0.00208, 0.00240, 0.00334, 0.00483, 0.00678, 0.00906, 0.01151, 0.01396, 0.01626, 0.01823, 0.01975, 0.02070, 0.02103, 0.02070, 0.01975, 0.01823, 0.01626, 0.01396, 0.01152, 0.00805, 0.00483, 0.00208, 0.00036, 0.00047, 0.00050, 0.00047, 0.00036, 0.00208, 0.00483, 0.00805, 0.01152, 0.01500, 0.01826, 0.02107, 0.02323, + 0.02460, 0.02505, 0.02460, 0.02323, 0.02107, 0.01826, 0.01500, 0.01155, 0.00655, 0.00192, 0.00064, 0.00082, 0.00093, 0.00097, 0.00093, 0.00082, 0.00064, 0.00192, 0.00655, 0.01155, 0.01660, 0.02133, 0.02495, 0.02408, 0.02353, 0.02334, 0.02353, 0.02408, 0.02495, 0.02133, 0.01660, 0.01162, 0.00073, 0.00127, 0.00160, 0.00173, 0.00161, 0.00127, 0.00078, 0.01162, 0.02321, + 0.02267, 0.02082, 0.02013, 0.02076, 0.02267, 0.02372, 0.01178, 0.00199, 0.00218, 0.00222, 0.00218, 0.00199, 0.01178, 0.01682, 0.00908, 0.00637, 0.00908, 0.01682, 0.01154, 0.01154, 0.01013, 0.00955, 0.01013, 0.01154, 0.01295, 0.01353, 0.01295, 0.01154, 0.01000, 0.00864, 0.00777, 0.00744, 0.00774, 0.00864, 0.00994, 0.01154, 0.01308, 0.01445, 0.01533, 0.01565, 0.01535, + 0.01445, 0.01314, 0.01154, 0.00953, 0.00772, 0.00629, 0.00537, 0.00505, 0.00537, 0.00629, 0.00772, 0.00953, 0.01154, 0.01355, 0.01538, 0.01682, 0.01776, 0.01808, 0.01776, 0.01682, 0.01538, 0.01355, 0.01155, 0.00910, 0.00683, 0.00489, 0.00340, 0.00247, 0.00215, 0.00247, 0.00340, 0.00489, 0.00683, 0.00910, 0.01155, 0.01400, 0.01629, 0.01826, 0.01978, 0.02073, 0.02106, + 0.02073, 0.01978, 0.01826, 0.01629, 0.01400, 0.01156, 0.00810, 0.00490, 0.00216, 0.00046, 0.00059, 0.00064, 0.00059, 0.00046, 0.00216, 0.00490, 0.00810, 0.01156, 0.01504, 0.01829, 0.02110, 0.02327, 0.02463, 0.02509, 0.02463, 0.02327, 0.02110, 0.01829, 0.01504, 0.01160, 0.00663, 0.00203, 0.00082, 0.00105, 0.00120, 0.00125, 0.00120, 0.00105, 0.00082, 0.00203, 0.00663, + 0.01160, 0.01663, 0.02137, 0.02452, 0.01967, 0.01663, 0.01559, 0.01663, 0.01967, 0.02452, 0.02137, 0.01663, 0.01169, 0.00094, 0.00163, 0.00205, 0.00221, 0.00206, 0.00163, 0.00099, 0.01169, 0.02324, 0.01205, 0.00221, 0.00012, 0.00190, 0.01205, 0.02376, 0.01190, 0.00245, 0.00266, 0.00270, 0.00266, 0.00245, 0.01190, 0.00011, 0.00010, 0.00010, 0.00010, 0.00011, 0.01154, + 0.01154, 0.01014, 0.00955, 0.01014, 0.01154, 0.01295, 0.01353, 0.01295, 0.01154, 0.01000, 0.00864, 0.00777, 0.00745, 0.00774, 0.00864, 0.00994, 0.01154, 0.01308, 0.01445, 0.01533, 0.01566, 0.01536, 0.01445, 0.01315, 0.01154, 0.00953, 0.00772, 0.00629, 0.00537, 0.00506, 0.00537, 0.00629, 0.00772, 0.00953, 0.01154, 0.01356, 0.01538, 0.01683, 0.01776, 0.01808, 0.01776, + 0.01683, 0.01538, 0.01356, 0.01155, 0.00911, 0.00684, 0.00489, 0.00341, 0.00247, 0.00215, 0.00247, 0.00341, 0.00489, 0.00684, 0.00911, 0.01155, 0.01400, 0.01629, 0.01826, 0.01978, 0.02074, 0.02106, 0.02074, 0.01978, 0.01826, 0.01629, 0.01400, 0.01157, 0.00811, 0.00491, 0.00217, 0.00047, 0.00061, 0.00065, 0.00061, 0.00047, 0.00217, 0.00491, 0.00811, 0.01157, 0.01504, + 0.01830, 0.02110, 0.02327, 0.02464, 0.02509, 0.02464, 0.02327, 0.02110, 0.01830, 0.01504, 0.01161, 0.00663, 0.00204, 0.00083, 0.00107, 0.00122, 0.00127, 0.00122, 0.00107, 0.00083, 0.00204, 0.00663, 0.01161, 0.01664, 0.02137, 0.02435, 0.01805, 0.01409, 0.01274, 0.01409, 0.01805, 0.02435, 0.02137, 0.01664, 0.01170, 0.00095, 0.00166, 0.00209, 0.00225, 0.00210, 0.00166, + 0.00101, 0.01170, 0.02324, 0.00980, 0.00182, 0.00013, 0.00157, 0.00980, 0.02376, 0.01191, 0.00250, 0.00270, 0.00274, 0.00270, 0.00250, 0.01191, 0.00012, 0.00010, 0.00010, 0.00010, 0.00012, 0.01154, 0.01154, 0.01013, 0.00955, 0.01013, 0.01154, 0.01295, 0.01353, 0.01295, 0.01154, 0.01000, 0.00864, 0.00777, 0.00744, 0.00774, 0.00864, 0.00994, 0.01154, 0.01308, 0.01445, + 0.01533, 0.01565, 0.01535, 0.01445, 0.01314, 0.01154, 0.00953, 0.00772, 0.00629, 0.00537, 0.00505, 0.00537, 0.00629, 0.00772, 0.00953, 0.01154, 0.01355, 0.01538, 0.01682, 0.01776, 0.01808, 0.01776, 0.01682, 0.01538, 0.01355, 0.01155, 0.00910, 0.00683, 0.00489, 0.00340, 0.00247, 0.00215, 0.00247, 0.00340, 0.00489, 0.00683, 0.00910, 0.01155, 0.01400, 0.01629, 0.01826, + 0.01978, 0.02073, 0.02106, 0.02073, 0.01978, 0.01826, 0.01629, 0.01400, 0.01156, 0.00810, 0.00490, 0.00216, 0.00046, 0.00059, 0.00064, 0.00059, 0.00046, 0.00216, 0.00490, 0.00810, 0.01156, 0.01504, 0.01829, 0.02110, 0.02327, 0.02463, 0.02509, 0.02463, 0.02327, 0.02110, 0.01829, 0.01504, 0.01160, 0.00663, 0.00203, 0.00082, 0.00105, 0.00120, 0.00125, 0.00120, 0.00105, + 0.00082, 0.00203, 0.00663, 0.01160, 0.01663, 0.02137, 0.02452, 0.01967, 0.01663, 0.01559, 0.01663, 0.01967, 0.02452, 0.02137, 0.01663, 0.01169, 0.00094, 0.00163, 0.00205, 0.00221, 0.00206, 0.00163, 0.00099, 0.01169, 0.02324, 0.01205, 0.00221, 0.00012, 0.00190, 0.01205, 0.02376, 0.01190, 0.00245, 0.00266, 0.00270, 0.00266, 0.00245, 0.01190, 0.00011, 0.00010, 0.00010, + 0.00010, 0.00011, 0.01150, 0.01150, 0.01009, 0.00951, 0.01009, 0.01150, 0.01291, 0.01350, 0.01291, 0.01150, 0.00996, 0.00860, 0.00772, 0.00740, 0.00769, 0.00860, 0.00990, 0.01150, 0.01304, 0.01441, 0.01529, 0.01562, 0.01532, 0.01441, 0.01311, 0.01150, 0.00949, 0.00768, 0.00624, 0.00532, 0.00500, 0.00532, 0.00624, 0.00768, 0.00949, 0.01150, 0.01352, 0.01534, 0.01679, + 0.01772, 0.01805, 0.01772, 0.01679, 0.01534, 0.01352, 0.01151, 0.00906, 0.00678, 0.00483, 0.00334, 0.00240, 0.00208, 0.00240, 0.00334, 0.00483, 0.00678, 0.00906, 0.01151, 0.01396, 0.01626, 0.01823, 0.01975, 0.02070, 0.02103, 0.02070, 0.01975, 0.01823, 0.01626, 0.01396, 0.01152, 0.00805, 0.00483, 0.00208, 0.00036, 0.00047, 0.00050, 0.00047, 0.00036, 0.00208, 0.00483, + 0.00805, 0.01152, 0.01500, 0.01826, 0.02107, 0.02323, 0.02460, 0.02505, 0.02460, 0.02323, 0.02107, 0.01826, 0.01500, 0.01155, 0.00655, 0.00192, 0.00064, 0.00082, 0.00093, 0.00097, 0.00093, 0.00082, 0.00064, 0.00192, 0.00655, 0.01155, 0.01660, 0.02133, 0.02495, 0.02408, 0.02353, 0.02334, 0.02353, 0.02408, 0.02495, 0.02133, 0.01660, 0.01162, 0.00073, 0.00127, 0.00160, + 0.00173, 0.00161, 0.00127, 0.00078, 0.01162, 0.02321, 0.02267, 0.02082, 0.02013, 0.02076, 0.02267, 0.02372, 0.01178, 0.00199, 0.00218, 0.00222, 0.00218, 0.00199, 0.01178, 0.01682, 0.00908, 0.00637, 0.00908, 0.01682, 0.00078, 0.00078, 0.00083, 0.00086, 0.00083, 0.00078, 0.00073, 0.00072, 0.00073, 0.00078, 0.00084, 0.00090, 0.00095, 0.00097, 0.00095, 0.00090, 0.00084, + 0.00078, 0.00073, 0.00070, 0.00068, 0.00068, 0.00068, 0.00070, 0.00073, 0.00078, 0.00087, 0.00096, 0.00105, 0.00111, 0.00114, 0.00111, 0.00105, 0.00096, 0.00087, 0.00078, 0.00072, 0.00069, 0.00067, 0.00067, 0.00067, 0.00067, 0.00067, 0.00069, 0.00072, 0.00081, 0.00093, 0.00107, 0.00121, 0.00134, 0.00143, 0.00146, 0.00143, 0.00134, 0.00121, 0.00107, 0.00093, 0.00081, + 0.00073, 0.00069, 0.00067, 0.00068, 0.00069, 0.00069, 0.00069, 0.00068, 0.00067, 0.00069, 0.00073, 0.00089, 0.00111, 0.00140, 0.00170, 0.00209, 0.00272, 0.00293, 0.00272, 0.00209, 0.00170, 0.00140, 0.00111, 0.00089, 0.00075, 0.00069, 0.00070, 0.00074, 0.00079, 0.00080, 0.00079, 0.00074, 0.00070, 0.00069, 0.00075, 0.00107, 0.00162, 0.00234, 0.00375, 0.00484, 0.00552, + 0.00576, 0.00552, 0.00484, 0.00375, 0.00234, 0.00162, 0.00107, 0.00077, 0.00071, 0.00079, 0.00074, 0.00070, 0.00069, 0.00070, 0.00074, 0.00079, 0.00071, 0.00077, 0.00149, 0.00428, 0.00754, 0.00941, 0.01011, 0.00947, 0.00754, 0.00452, 0.00149, 0.00074, 0.00066, 0.00058, 0.00056, 0.00058, 0.00066, 0.00076, 0.00242, 0.01154, 0.01154, 0.01154, 0.01154, 0.01154, 5.22256, + 0.00052, 0.00046, 0.00045, 0.00046, 0.00052, 0.00165, 0.00165, 0.00177, 0.00183, 0.00177, 0.00165, 0.00155, 0.00151, 0.00155, 0.00165, 0.00179, 0.00193, 0.00204, 0.00208, 0.00204, 0.00193, 0.00180, 0.00165, 0.00154, 0.00147, 0.00143, 0.00142, 0.00143, 0.00147, 0.00154, 0.00167, 0.00186, 0.00207, 0.00227, 0.00242, 0.00247, 0.00242, 0.00227, 0.00207, 0.00186, 0.00167, + 0.00152, 0.00143, 0.00139, 0.00138, 0.00138, 0.00138, 0.00139, 0.00143, 0.00152, 0.00172, 0.00199, 0.00231, 0.00264, 0.00292, 0.00311, 0.00318, 0.00311, 0.00292, 0.00264, 0.00231, 0.00199, 0.00172, 0.00154, 0.00143, 0.00139, 0.00139, 0.00141, 0.00142, 0.00141, 0.00139, 0.00139, 0.00143, 0.00154, 0.00189, 0.00240, 0.00304, 0.00371, 0.00458, 0.00596, 0.00642, 0.00596, + 0.00458, 0.00371, 0.00304, 0.00240, 0.00189, 0.00156, 0.00142, 0.00143, 0.00152, 0.00161, 0.00164, 0.00161, 0.00152, 0.00143, 0.00142, 0.00156, 0.00230, 0.00351, 0.00511, 0.00830, 0.01128, 0.01305, 0.01363, 0.01305, 0.01128, 0.00830, 0.00511, 0.00351, 0.00230, 0.00162, 0.00145, 0.00162, 0.00148, 0.00139, 0.00136, 0.00139, 0.00148, 0.00162, 0.00145, 0.00162, 0.00320, + 0.00938, 0.01842, 0.02243, 0.02354, 0.02253, 0.01842, 0.00990, 0.00320, 0.00152, 0.00129, 0.00108, 0.00103, 0.00108, 0.00129, 0.00155, 0.00524, 0.01710, 0.00038, 0.00038, 0.00038, 0.01710, 0.00524, 0.00096, 0.00083, 0.00080, 0.00083, 0.00096, 0.00166, 0.00166, 0.00178, 0.00184, 0.00178, 0.00166, 0.00156, 0.00152, 0.00156, 0.00166, 0.00180, 0.00194, 0.00205, 0.00209, + 0.00205, 0.00194, 0.00180, 0.00166, 0.00155, 0.00148, 0.00144, 0.00143, 0.00144, 0.00148, 0.00155, 0.00168, 0.00187, 0.00208, 0.00228, 0.00242, 0.00247, 0.00242, 0.00228, 0.00208, 0.00187, 0.00168, 0.00154, 0.00145, 0.00141, 0.00140, 0.00140, 0.00140, 0.00141, 0.00145, 0.00154, 0.00174, 0.00200, 0.00232, 0.00264, 0.00292, 0.00312, 0.00319, 0.00312, 0.00292, 0.00264, + 0.00232, 0.00200, 0.00174, 0.00155, 0.00144, 0.00141, 0.00141, 0.00143, 0.00144, 0.00143, 0.00141, 0.00141, 0.00144, 0.00155, 0.00190, 0.00241, 0.00304, 0.00372, 0.00458, 0.00596, 0.00642, 0.00596, 0.00458, 0.00372, 0.00304, 0.00241, 0.00190, 0.00158, 0.00144, 0.00145, 0.00154, 0.00163, 0.00166, 0.00163, 0.00154, 0.00145, 0.00144, 0.00158, 0.00231, 0.00352, 0.00511, + 0.00830, 0.01128, 0.01305, 0.01363, 0.01305, 0.01128, 0.00830, 0.00511, 0.00352, 0.00231, 0.00163, 0.00147, 0.00164, 0.00149, 0.00139, 0.00135, 0.00139, 0.00149, 0.00164, 0.00147, 0.00163, 0.00321, 0.00938, 0.01842, 0.02243, 0.02357, 0.02254, 0.01842, 0.00990, 0.00321, 0.00154, 0.00127, 0.00104, 0.00098, 0.00103, 0.00127, 0.00157, 0.00525, 0.00937, 0.00038, 0.00039, + 0.00038, 0.00937, 0.00525, 0.00091, 0.00079, 0.00075, 0.00079, 0.00091, 0.00166, 0.00166, 0.00179, 0.00184, 0.00179, 0.00166, 0.00156, 0.00153, 0.00156, 0.00166, 0.00180, 0.00195, 0.00205, 0.00209, 0.00205, 0.00195, 0.00181, 0.00166, 0.00156, 0.00148, 0.00145, 0.00144, 0.00145, 0.00148, 0.00155, 0.00168, 0.00187, 0.00208, 0.00228, 0.00242, 0.00247, 0.00242, 0.00228, + 0.00208, 0.00187, 0.00168, 0.00154, 0.00145, 0.00142, 0.00140, 0.00140, 0.00140, 0.00142, 0.00145, 0.00154, 0.00174, 0.00200, 0.00232, 0.00264, 0.00293, 0.00312, 0.00319, 0.00312, 0.00293, 0.00264, 0.00232, 0.00200, 0.00174, 0.00155, 0.00145, 0.00141, 0.00142, 0.00144, 0.00145, 0.00144, 0.00142, 0.00141, 0.00145, 0.00155, 0.00191, 0.00241, 0.00305, 0.00372, 0.00458, + 0.00596, 0.00642, 0.00596, 0.00458, 0.00372, 0.00305, 0.00241, 0.00191, 0.00158, 0.00145, 0.00146, 0.00155, 0.00164, 0.00167, 0.00164, 0.00155, 0.00146, 0.00145, 0.00158, 0.00232, 0.00352, 0.00511, 0.00830, 0.01128, 0.01305, 0.01364, 0.01305, 0.01128, 0.00830, 0.00511, 0.00352, 0.00232, 0.00164, 0.00148, 0.00165, 0.00149, 0.00139, 0.00135, 0.00139, 0.00149, 0.00165, + 0.00148, 0.00164, 0.00322, 0.00938, 0.01842, 0.02243, 0.02357, 0.02254, 0.01842, 0.00990, 0.00322, 0.00155, 0.00126, 0.00102, 0.00097, 0.00102, 0.00126, 0.00158, 0.00526, 0.00667, 0.00038, 0.00039, 0.00038, 0.00667, 0.00526, 0.00089, 0.00077, 0.00074, 0.00077, 0.00089, 0.00166, 0.00166, 0.00178, 0.00184, 0.00178, 0.00166, 0.00156, 0.00152, 0.00156, 0.00166, 0.00180, + 0.00194, 0.00205, 0.00209, 0.00205, 0.00194, 0.00180, 0.00166, 0.00155, 0.00148, 0.00144, 0.00143, 0.00144, 0.00148, 0.00155, 0.00168, 0.00187, 0.00208, 0.00228, 0.00242, 0.00247, 0.00242, 0.00228, 0.00208, 0.00187, 0.00168, 0.00154, 0.00145, 0.00141, 0.00140, 0.00140, 0.00140, 0.00141, 0.00145, 0.00154, 0.00174, 0.00200, 0.00232, 0.00264, 0.00292, 0.00312, 0.00319, + 0.00312, 0.00292, 0.00264, 0.00232, 0.00200, 0.00174, 0.00155, 0.00144, 0.00141, 0.00141, 0.00143, 0.00144, 0.00143, 0.00141, 0.00141, 0.00144, 0.00155, 0.00190, 0.00241, 0.00304, 0.00372, 0.00458, 0.00596, 0.00642, 0.00596, 0.00458, 0.00372, 0.00304, 0.00241, 0.00190, 0.00158, 0.00144, 0.00145, 0.00154, 0.00163, 0.00166, 0.00163, 0.00154, 0.00145, 0.00144, 0.00158, + 0.00231, 0.00352, 0.00511, 0.00830, 0.01128, 0.01305, 0.01363, 0.01305, 0.01128, 0.00830, 0.00511, 0.00352, 0.00231, 0.00163, 0.00147, 0.00164, 0.00149, 0.00139, 0.00135, 0.00139, 0.00149, 0.00164, 0.00147, 0.00163, 0.00321, 0.00938, 0.01842, 0.02243, 0.02357, 0.02254, 0.01842, 0.00990, 0.00321, 0.00154, 0.00127, 0.00104, 0.00098, 0.00103, 0.00127, 0.00157, 0.00525, + 0.00937, 0.00038, 0.00039, 0.00038, 0.00937, 0.00525, 0.00091, 0.00079, 0.00075, 0.00079, 0.00091, 0.00165, 0.00165, 0.00177, 0.00183, 0.00177, 0.00165, 0.00155, 0.00151, 0.00155, 0.00165, 0.00179, 0.00193, 0.00204, 0.00208, 0.00204, 0.00193, 0.00180, 0.00165, 0.00154, 0.00147, 0.00143, 0.00142, 0.00143, 0.00147, 0.00154, 0.00167, 0.00186, 0.00207, 0.00227, 0.00242, + 0.00247, 0.00242, 0.00227, 0.00207, 0.00186, 0.00167, 0.00152, 0.00143, 0.00139, 0.00138, 0.00138, 0.00138, 0.00139, 0.00143, 0.00152, 0.00172, 0.00199, 0.00231, 0.00264, 0.00292, 0.00311, 0.00318, 0.00311, 0.00292, 0.00264, 0.00231, 0.00199, 0.00172, 0.00154, 0.00143, 0.00139, 0.00139, 0.00141, 0.00142, 0.00141, 0.00139, 0.00139, 0.00143, 0.00154, 0.00189, 0.00240, + 0.00304, 0.00371, 0.00458, 0.00596, 0.00642, 0.00596, 0.00458, 0.00371, 0.00304, 0.00240, 0.00189, 0.00156, 0.00142, 0.00143, 0.00152, 0.00161, 0.00164, 0.00161, 0.00152, 0.00143, 0.00142, 0.00156, 0.00230, 0.00351, 0.00511, 0.00830, 0.01128, 0.01305, 0.01363, 0.01305, 0.01128, 0.00830, 0.00511, 0.00351, 0.00230, 0.00162, 0.00145, 0.00162, 0.00148, 0.00139, 0.00136, + 0.00139, 0.00148, 0.00162, 0.00145, 0.00162, 0.00320, 0.00938, 0.01842, 0.02243, 0.02354, 0.02253, 0.01842, 0.00990, 0.00320, 0.00152, 0.00129, 0.00108, 0.00103, 0.00108, 0.00129, 0.00155, 0.00524, 0.01710, 0.00038, 0.00038, 0.00038, 0.01710, 0.00524, 0.00096, 0.00083, 0.00080, 0.00083, 0.00096; + + + + + +Matrix:TwoDimension, +CFS_Glz_70_Rbvis, +145, +145, + 6.17946, 0.01809, 0.02035, 0.02128, 0.02035, 0.01809, 0.01584, 0.01490, 0.01584, 0.01805, 0.02051, 0.02269, 0.02409, 0.02461, 0.02413, 0.02269, 0.02061, 0.01805, 0.01558, 0.01340, 0.01200, 0.01148, 0.01196, 0.01340, 0.01548, 0.01792, 0.02111, 0.02400, 0.02629, 0.02775, 0.02826, 0.02775, 0.02629, 0.02400, 0.02111, 0.01792, 0.01472, 0.01184, 0.00955, 0.00808, 0.00757, + 0.00808, 0.00955, 0.01184, 0.01472, 0.01760, 0.02142, 0.02499, 0.02805, 0.03039, 0.03187, 0.03237, 0.03187, 0.03039, 0.02805, 0.02499, 0.02142, 0.01760, 0.01378, 0.01022, 0.00716, 0.00481, 0.00334, 0.00283, 0.00334, 0.00481, 0.00716, 0.01022, 0.01378, 0.01686, 0.02206, 0.02691, 0.03107, 0.03426, 0.03627, 0.03695, 0.03627, 0.03426, 0.03107, 0.02691, 0.02206, 0.01686, + 0.01166, 0.00681, 0.00265, 0.00004, 0.00018, 0.00022, 0.00018, 0.00004, 0.00265, 0.00681, 0.01166, 0.01517, 0.02198, 0.02832, 0.03326, 0.03326, 0.03326, 0.03325, 0.03326, 0.03326, 0.03326, 0.02832, 0.02198, 0.01517, 0.00837, 0.00203, 0.00024, 0.00053, 0.00071, 0.00077, 0.00071, 0.00053, 0.00024, 0.00203, 0.00837, 0.01165, 0.02364, 0.02553, 0.02553, 0.02553, 0.02553, + 0.02553, 0.02416, 0.01165, 0.00002, 0.00076, 0.00124, 0.00141, 0.00125, 0.00076, 0.00006, 0.00402, 0.00880, 0.00881, 0.00881, 0.00881, 0.00880, 0.00402, 0.00069, 0.00088, 0.00089, 0.00088, 0.00069, 0.01809, 6.32105, 0.02034, 0.02127, 0.02034, 0.01808, 0.01583, 0.01489, 0.01583, 0.01803, 0.02049, 0.02267, 0.02407, 0.02460, 0.02412, 0.02267, 0.02060, 0.01803, 0.01557, + 0.01339, 0.01199, 0.01147, 0.01195, 0.01339, 0.01547, 0.01790, 0.02110, 0.02398, 0.02627, 0.02774, 0.02824, 0.02774, 0.02627, 0.02398, 0.02110, 0.01790, 0.01471, 0.01183, 0.00954, 0.00807, 0.00757, 0.00807, 0.00954, 0.01183, 0.01471, 0.01759, 0.02141, 0.02497, 0.02803, 0.03037, 0.03185, 0.03235, 0.03185, 0.03037, 0.02803, 0.02497, 0.02141, 0.01759, 0.01377, 0.01021, + 0.00715, 0.00481, 0.00333, 0.00283, 0.00333, 0.00481, 0.00715, 0.01021, 0.01377, 0.01685, 0.02205, 0.02689, 0.03105, 0.03424, 0.03624, 0.03693, 0.03624, 0.03424, 0.03105, 0.02689, 0.02205, 0.01685, 0.01165, 0.00681, 0.00265, 0.00004, 0.00018, 0.00022, 0.00018, 0.00004, 0.00265, 0.00681, 0.01165, 0.01516, 0.02196, 0.02830, 0.03324, 0.03324, 0.03323, 0.03323, 0.03323, + 0.03324, 0.03324, 0.02830, 0.02196, 0.01516, 0.00837, 0.00203, 0.00024, 0.00053, 0.00071, 0.00077, 0.00071, 0.00053, 0.00024, 0.00203, 0.00837, 0.01164, 0.02362, 0.02551, 0.02551, 0.02551, 0.02551, 0.02551, 0.02414, 0.01164, 0.00002, 0.00076, 0.00124, 0.00141, 0.00125, 0.00076, 0.00006, 0.00402, 0.00880, 0.00880, 0.00880, 0.00880, 0.00880, 0.00402, 0.00069, 0.00088, + 0.00089, 0.00088, 0.00069, 0.01584, 0.01583, 6.32077, 0.01862, 0.01780, 0.01583, 0.01385, 0.01304, 0.01385, 0.01578, 0.01794, 0.01985, 0.02107, 0.02153, 0.02111, 0.01985, 0.01803, 0.01578, 0.01363, 0.01172, 0.01050, 0.01004, 0.01046, 0.01172, 0.01354, 0.01567, 0.01847, 0.02099, 0.02299, 0.02428, 0.02472, 0.02428, 0.02299, 0.02099, 0.01847, 0.01567, 0.01288, 0.01035, + 0.00835, 0.00707, 0.00662, 0.00707, 0.00835, 0.01035, 0.01288, 0.01540, 0.01874, 0.02186, 0.02453, 0.02659, 0.02788, 0.02832, 0.02788, 0.02659, 0.02453, 0.02186, 0.01874, 0.01540, 0.01205, 0.00894, 0.00626, 0.00421, 0.00292, 0.00248, 0.00292, 0.00421, 0.00626, 0.00894, 0.01205, 0.01475, 0.01930, 0.02354, 0.02718, 0.02997, 0.03173, 0.03232, 0.03173, 0.02997, 0.02718, + 0.02354, 0.01930, 0.01475, 0.01020, 0.00596, 0.00232, 0.00003, 0.00015, 0.00020, 0.00015, 0.00003, 0.00232, 0.00596, 0.01020, 0.01327, 0.01922, 0.02477, 0.02910, 0.02909, 0.02909, 0.02909, 0.02909, 0.02909, 0.02910, 0.02477, 0.01922, 0.01327, 0.00732, 0.00178, 0.00021, 0.00046, 0.00062, 0.00067, 0.00062, 0.00046, 0.00021, 0.00178, 0.00732, 0.01019, 0.02068, 0.02233, + 0.02233, 0.02233, 0.02233, 0.02233, 0.02113, 0.01019, 0.00002, 0.00067, 0.00108, 0.00124, 0.00109, 0.00067, 0.00005, 0.00351, 0.00770, 0.00770, 0.00770, 0.00770, 0.00770, 0.00351, 0.00060, 0.00077, 0.00078, 0.00077, 0.00060, 0.01490, 0.01489, 0.01675, 6.32049, 0.01675, 0.01489, 0.01304, 0.01227, 0.01304, 0.01485, 0.01688, 0.01868, 0.01983, 0.02026, 0.01987, 0.01868, + 0.01697, 0.01485, 0.01283, 0.01103, 0.00988, 0.00945, 0.00984, 0.01103, 0.01274, 0.01475, 0.01738, 0.01975, 0.02164, 0.02284, 0.02326, 0.02284, 0.02164, 0.01975, 0.01738, 0.01475, 0.01212, 0.00974, 0.00786, 0.00665, 0.00623, 0.00665, 0.00786, 0.00974, 0.01212, 0.01449, 0.01764, 0.02057, 0.02309, 0.02502, 0.02623, 0.02665, 0.02623, 0.02502, 0.02309, 0.02057, 0.01764, + 0.01449, 0.01134, 0.00841, 0.00589, 0.00396, 0.00275, 0.00233, 0.00275, 0.00396, 0.00589, 0.00841, 0.01134, 0.01388, 0.01816, 0.02215, 0.02557, 0.02820, 0.02985, 0.03042, 0.02985, 0.02820, 0.02557, 0.02215, 0.01816, 0.01388, 0.00960, 0.00561, 0.00218, 0.00003, 0.00015, 0.00018, 0.00015, 0.00003, 0.00218, 0.00561, 0.00960, 0.01249, 0.01809, 0.02331, 0.02738, 0.02737, + 0.02737, 0.02737, 0.02737, 0.02737, 0.02738, 0.02331, 0.01809, 0.01249, 0.00689, 0.00167, 0.00019, 0.00043, 0.00058, 0.00063, 0.00058, 0.00043, 0.00019, 0.00167, 0.00689, 0.00959, 0.01946, 0.02101, 0.02101, 0.02101, 0.02101, 0.02101, 0.01988, 0.00959, 0.00002, 0.00063, 0.00102, 0.00116, 0.00103, 0.00063, 0.00005, 0.00331, 0.00725, 0.00725, 0.00725, 0.00725, 0.00725, + 0.00331, 0.00057, 0.00072, 0.00074, 0.00072, 0.00057, 0.01584, 0.01583, 0.01780, 0.01862, 6.32077, 0.01583, 0.01385, 0.01304, 0.01385, 0.01578, 0.01794, 0.01985, 0.02107, 0.02153, 0.02111, 0.01985, 0.01803, 0.01578, 0.01363, 0.01172, 0.01050, 0.01004, 0.01046, 0.01172, 0.01354, 0.01567, 0.01847, 0.02099, 0.02299, 0.02428, 0.02472, 0.02428, 0.02299, 0.02099, 0.01847, + 0.01567, 0.01288, 0.01035, 0.00835, 0.00707, 0.00662, 0.00707, 0.00835, 0.01035, 0.01288, 0.01540, 0.01874, 0.02186, 0.02453, 0.02659, 0.02788, 0.02832, 0.02788, 0.02659, 0.02453, 0.02186, 0.01874, 0.01540, 0.01205, 0.00894, 0.00626, 0.00421, 0.00292, 0.00248, 0.00292, 0.00421, 0.00626, 0.00894, 0.01205, 0.01475, 0.01930, 0.02354, 0.02718, 0.02997, 0.03173, 0.03232, + 0.03173, 0.02997, 0.02718, 0.02354, 0.01930, 0.01475, 0.01020, 0.00596, 0.00232, 0.00003, 0.00015, 0.00020, 0.00015, 0.00003, 0.00232, 0.00596, 0.01020, 0.01327, 0.01922, 0.02477, 0.02910, 0.02909, 0.02909, 0.02909, 0.02909, 0.02909, 0.02910, 0.02477, 0.01922, 0.01327, 0.00732, 0.00178, 0.00021, 0.00046, 0.00062, 0.00067, 0.00062, 0.00046, 0.00021, 0.00178, 0.00732, + 0.01019, 0.02068, 0.02233, 0.02233, 0.02233, 0.02233, 0.02233, 0.02113, 0.01019, 0.00002, 0.00067, 0.00108, 0.00124, 0.00109, 0.00067, 0.00005, 0.00351, 0.00770, 0.00770, 0.00770, 0.00770, 0.00770, 0.00351, 0.00060, 0.00077, 0.00078, 0.00077, 0.00060, 0.01809, 0.01808, 0.02034, 0.02127, 0.02034, 6.32105, 0.01583, 0.01489, 0.01583, 0.01803, 0.02049, 0.02267, 0.02407, + 0.02460, 0.02412, 0.02267, 0.02060, 0.01803, 0.01557, 0.01339, 0.01199, 0.01147, 0.01195, 0.01339, 0.01547, 0.01790, 0.02110, 0.02398, 0.02627, 0.02774, 0.02824, 0.02774, 0.02627, 0.02398, 0.02110, 0.01790, 0.01471, 0.01183, 0.00954, 0.00807, 0.00757, 0.00807, 0.00954, 0.01183, 0.01471, 0.01759, 0.02141, 0.02497, 0.02803, 0.03037, 0.03185, 0.03235, 0.03185, 0.03037, + 0.02803, 0.02497, 0.02141, 0.01759, 0.01377, 0.01021, 0.00715, 0.00481, 0.00333, 0.00283, 0.00333, 0.00481, 0.00715, 0.01021, 0.01377, 0.01685, 0.02205, 0.02689, 0.03105, 0.03424, 0.03624, 0.03693, 0.03624, 0.03424, 0.03105, 0.02689, 0.02205, 0.01685, 0.01165, 0.00681, 0.00265, 0.00004, 0.00018, 0.00022, 0.00018, 0.00004, 0.00265, 0.00681, 0.01165, 0.01516, 0.02196, + 0.02830, 0.03324, 0.03324, 0.03323, 0.03323, 0.03323, 0.03324, 0.03324, 0.02830, 0.02196, 0.01516, 0.00837, 0.00203, 0.00024, 0.00053, 0.00071, 0.00077, 0.00071, 0.00053, 0.00024, 0.00203, 0.00837, 0.01164, 0.02362, 0.02551, 0.02551, 0.02551, 0.02551, 0.02551, 0.02414, 0.01164, 0.00002, 0.00076, 0.00124, 0.00141, 0.00125, 0.00076, 0.00006, 0.00402, 0.00880, 0.00880, + 0.00880, 0.00880, 0.00880, 0.00402, 0.00069, 0.00088, 0.00089, 0.00088, 0.00069, 0.02035, 0.02034, 0.02287, 0.02392, 0.02287, 0.02034, 6.32077, 0.01675, 0.01780, 0.02028, 0.02305, 0.02550, 0.02708, 0.02766, 0.02713, 0.02550, 0.02317, 0.02028, 0.01752, 0.01506, 0.01349, 0.01290, 0.01344, 0.01506, 0.01740, 0.02014, 0.02373, 0.02697, 0.02954, 0.03119, 0.03176, 0.03119, + 0.02954, 0.02697, 0.02373, 0.02014, 0.01654, 0.01330, 0.01073, 0.00908, 0.00851, 0.00908, 0.01073, 0.01330, 0.01654, 0.01978, 0.02408, 0.02808, 0.03152, 0.03416, 0.03582, 0.03638, 0.03582, 0.03416, 0.03152, 0.02808, 0.02408, 0.01978, 0.01549, 0.01148, 0.00805, 0.00541, 0.00375, 0.00318, 0.00375, 0.00541, 0.00805, 0.01148, 0.01549, 0.01895, 0.02479, 0.03024, 0.03492, + 0.03851, 0.04076, 0.04153, 0.04076, 0.03851, 0.03492, 0.03024, 0.02479, 0.01895, 0.01310, 0.00766, 0.00298, 0.00004, 0.00020, 0.00025, 0.00020, 0.00004, 0.00298, 0.00766, 0.01310, 0.01705, 0.02470, 0.03182, 0.03738, 0.03738, 0.03738, 0.03737, 0.03738, 0.03738, 0.03738, 0.03182, 0.02470, 0.01705, 0.00941, 0.00228, 0.00027, 0.00059, 0.00080, 0.00087, 0.00080, 0.00059, + 0.00027, 0.00228, 0.00941, 0.01309, 0.02657, 0.02869, 0.02869, 0.02869, 0.02869, 0.02869, 0.02715, 0.01309, 0.00003, 0.00086, 0.00139, 0.00159, 0.00141, 0.00086, 0.00007, 0.00452, 0.00990, 0.00990, 0.00990, 0.00990, 0.00990, 0.00452, 0.00078, 0.00099, 0.00101, 0.00099, 0.00078, 0.02128, 0.02127, 0.02392, 0.02502, 0.02392, 0.02127, 0.01862, 6.32049, 0.01862, 0.02121, + 0.02410, 0.02667, 0.02832, 0.02893, 0.02837, 0.02667, 0.02423, 0.02121, 0.01832, 0.01575, 0.01411, 0.01349, 0.01405, 0.01575, 0.01820, 0.02106, 0.02482, 0.02821, 0.03090, 0.03263, 0.03322, 0.03263, 0.03090, 0.02821, 0.02482, 0.02106, 0.01730, 0.01391, 0.01122, 0.00950, 0.00890, 0.00950, 0.01122, 0.01391, 0.01730, 0.02069, 0.02519, 0.02937, 0.03297, 0.03573, 0.03746, + 0.03805, 0.03746, 0.03573, 0.03297, 0.02937, 0.02519, 0.02069, 0.01620, 0.01201, 0.00841, 0.00566, 0.00392, 0.00333, 0.00392, 0.00566, 0.00841, 0.01201, 0.01620, 0.01982, 0.02593, 0.03163, 0.03652, 0.04028, 0.04264, 0.04344, 0.04264, 0.04028, 0.03652, 0.03163, 0.02593, 0.01982, 0.01371, 0.00801, 0.00312, 0.00004, 0.00021, 0.00026, 0.00021, 0.00004, 0.00312, 0.00801, + 0.01371, 0.01784, 0.02583, 0.03329, 0.03910, 0.03910, 0.03909, 0.03909, 0.03909, 0.03910, 0.03910, 0.03329, 0.02583, 0.01784, 0.00984, 0.00239, 0.00028, 0.00062, 0.00083, 0.00091, 0.00083, 0.00062, 0.00028, 0.00239, 0.00984, 0.01370, 0.02779, 0.03001, 0.03001, 0.03001, 0.03001, 0.03001, 0.02840, 0.01370, 0.00003, 0.00090, 0.00145, 0.00166, 0.00147, 0.00090, 0.00007, + 0.00472, 0.01035, 0.01035, 0.01035, 0.01035, 0.01035, 0.00472, 0.00081, 0.00103, 0.00105, 0.00103, 0.00081, 0.02035, 0.02034, 0.02287, 0.02392, 0.02287, 0.02034, 0.01780, 0.01675, 6.32077, 0.02028, 0.02305, 0.02550, 0.02708, 0.02766, 0.02713, 0.02550, 0.02317, 0.02028, 0.01752, 0.01506, 0.01349, 0.01290, 0.01344, 0.01506, 0.01740, 0.02014, 0.02373, 0.02697, 0.02954, + 0.03119, 0.03176, 0.03119, 0.02954, 0.02697, 0.02373, 0.02014, 0.01654, 0.01330, 0.01073, 0.00908, 0.00851, 0.00908, 0.01073, 0.01330, 0.01654, 0.01978, 0.02408, 0.02808, 0.03152, 0.03416, 0.03582, 0.03638, 0.03582, 0.03416, 0.03152, 0.02808, 0.02408, 0.01978, 0.01549, 0.01148, 0.00805, 0.00541, 0.00375, 0.00318, 0.00375, 0.00541, 0.00805, 0.01148, 0.01549, 0.01895, + 0.02479, 0.03024, 0.03492, 0.03851, 0.04076, 0.04153, 0.04076, 0.03851, 0.03492, 0.03024, 0.02479, 0.01895, 0.01310, 0.00766, 0.00298, 0.00004, 0.00020, 0.00025, 0.00020, 0.00004, 0.00298, 0.00766, 0.01310, 0.01705, 0.02470, 0.03182, 0.03738, 0.03738, 0.03738, 0.03737, 0.03738, 0.03738, 0.03738, 0.03182, 0.02470, 0.01705, 0.00941, 0.00228, 0.00027, 0.00059, 0.00080, + 0.00087, 0.00080, 0.00059, 0.00027, 0.00228, 0.00941, 0.01309, 0.02657, 0.02869, 0.02869, 0.02869, 0.02869, 0.02869, 0.02715, 0.01309, 0.00003, 0.00086, 0.00139, 0.00159, 0.00141, 0.00086, 0.00007, 0.00452, 0.00990, 0.00990, 0.00990, 0.00990, 0.00990, 0.00452, 0.00078, 0.00099, 0.00101, 0.00099, 0.00078, 0.01805, 0.01803, 0.02028, 0.02121, 0.02028, 0.01803, 0.01578, + 0.01485, 0.01578, 6.74448, 0.02044, 0.02261, 0.02401, 0.02453, 0.02405, 0.02261, 0.02054, 0.01798, 0.01553, 0.01336, 0.01196, 0.01144, 0.01192, 0.01336, 0.01543, 0.01786, 0.02104, 0.02392, 0.02620, 0.02766, 0.02817, 0.02766, 0.02620, 0.02392, 0.02104, 0.01786, 0.01467, 0.01180, 0.00952, 0.00805, 0.00755, 0.00805, 0.00952, 0.01180, 0.01467, 0.01754, 0.02135, 0.02490, + 0.02795, 0.03029, 0.03176, 0.03226, 0.03176, 0.03029, 0.02795, 0.02490, 0.02135, 0.01754, 0.01373, 0.01018, 0.00713, 0.00479, 0.00332, 0.00282, 0.00332, 0.00479, 0.00713, 0.01018, 0.01373, 0.01680, 0.02199, 0.02682, 0.03096, 0.03415, 0.03615, 0.03683, 0.03615, 0.03415, 0.03096, 0.02682, 0.02199, 0.01680, 0.01162, 0.00679, 0.00264, 0.00004, 0.00018, 0.00022, 0.00018, + 0.00004, 0.00264, 0.00679, 0.01162, 0.01512, 0.02190, 0.02822, 0.03315, 0.03315, 0.03314, 0.03314, 0.03314, 0.03315, 0.03315, 0.02822, 0.02190, 0.01512, 0.00834, 0.00203, 0.00024, 0.00052, 0.00071, 0.00077, 0.00071, 0.00052, 0.00024, 0.00203, 0.00834, 0.01161, 0.02356, 0.02544, 0.02544, 0.02544, 0.02544, 0.02544, 0.02408, 0.01161, 0.00002, 0.00076, 0.00123, 0.00141, + 0.00125, 0.00076, 0.00006, 0.00400, 0.00878, 0.00878, 0.00878, 0.00878, 0.00878, 0.00400, 0.00069, 0.00088, 0.00089, 0.00088, 0.00069, 0.01558, 0.01557, 0.01752, 0.01832, 0.01752, 0.01557, 0.01363, 0.01283, 0.01363, 0.01553, 6.74415, 0.01953, 0.02074, 0.02119, 0.02077, 0.01953, 0.01774, 0.01553, 0.01341, 0.01153, 0.01033, 0.00988, 0.01029, 0.01153, 0.01332, 0.01542, + 0.01817, 0.02065, 0.02262, 0.02389, 0.02433, 0.02389, 0.02262, 0.02065, 0.01817, 0.01542, 0.01267, 0.01019, 0.00822, 0.00695, 0.00652, 0.00695, 0.00822, 0.01019, 0.01267, 0.01515, 0.01844, 0.02151, 0.02414, 0.02616, 0.02743, 0.02786, 0.02743, 0.02616, 0.02414, 0.02151, 0.01844, 0.01515, 0.01186, 0.00879, 0.00616, 0.00414, 0.00287, 0.00244, 0.00287, 0.00414, 0.00616, + 0.00879, 0.01186, 0.01451, 0.01899, 0.02316, 0.02674, 0.02949, 0.03122, 0.03181, 0.03122, 0.02949, 0.02674, 0.02316, 0.01899, 0.01451, 0.01004, 0.00586, 0.00228, 0.00003, 0.00015, 0.00019, 0.00015, 0.00003, 0.00228, 0.00586, 0.01004, 0.01306, 0.01892, 0.02437, 0.02863, 0.02863, 0.02862, 0.02862, 0.02862, 0.02863, 0.02863, 0.02437, 0.01892, 0.01306, 0.00721, 0.00175, + 0.00020, 0.00045, 0.00061, 0.00066, 0.00061, 0.00045, 0.00020, 0.00175, 0.00721, 0.01003, 0.02035, 0.02198, 0.02197, 0.02197, 0.02197, 0.02198, 0.02079, 0.01003, 0.00002, 0.00066, 0.00106, 0.00122, 0.00108, 0.00066, 0.00005, 0.00346, 0.00758, 0.00758, 0.00758, 0.00758, 0.00758, 0.00346, 0.00059, 0.00076, 0.00077, 0.00076, 0.00059, 0.01340, 0.01339, 0.01506, 0.01575, + 0.01506, 0.01339, 0.01172, 0.01103, 0.01172, 0.01336, 0.01518, 6.74329, 0.01783, 0.01822, 0.01786, 0.01679, 0.01526, 0.01336, 0.01153, 0.00992, 0.00888, 0.00849, 0.00885, 0.00992, 0.01146, 0.01326, 0.01563, 0.01776, 0.01945, 0.02054, 0.02092, 0.02054, 0.01945, 0.01776, 0.01563, 0.01326, 0.01089, 0.00876, 0.00707, 0.00598, 0.00560, 0.00598, 0.00707, 0.00876, 0.01089, + 0.01303, 0.01586, 0.01849, 0.02076, 0.02250, 0.02359, 0.02396, 0.02359, 0.02250, 0.02076, 0.01849, 0.01586, 0.01303, 0.01020, 0.00756, 0.00530, 0.00356, 0.00247, 0.00210, 0.00247, 0.00356, 0.00530, 0.00756, 0.01020, 0.01248, 0.01633, 0.01991, 0.02299, 0.02536, 0.02684, 0.02735, 0.02684, 0.02536, 0.02299, 0.01991, 0.01633, 0.01248, 0.00863, 0.00504, 0.00196, 0.00003, + 0.00013, 0.00017, 0.00013, 0.00003, 0.00196, 0.00504, 0.00863, 0.01123, 0.01627, 0.02096, 0.02462, 0.02462, 0.02461, 0.02461, 0.02461, 0.02462, 0.02462, 0.02096, 0.01627, 0.01123, 0.00620, 0.00150, 0.00018, 0.00039, 0.00052, 0.00057, 0.00052, 0.00039, 0.00018, 0.00150, 0.00620, 0.00862, 0.01750, 0.01890, 0.01890, 0.01890, 0.01890, 0.01890, 0.01788, 0.00862, 0.00002, + 0.00056, 0.00091, 0.00105, 0.00093, 0.00056, 0.00004, 0.00297, 0.00652, 0.00652, 0.00652, 0.00652, 0.00652, 0.00297, 0.00051, 0.00065, 0.00066, 0.00065, 0.00051, 0.01200, 0.01199, 0.01349, 0.01411, 0.01349, 0.01199, 0.01050, 0.00988, 0.01050, 0.01196, 0.01359, 0.01504, 6.74246, 0.01631, 0.01599, 0.01504, 0.01366, 0.01196, 0.01033, 0.00888, 0.00795, 0.00761, 0.00792, + 0.00888, 0.01026, 0.01187, 0.01399, 0.01590, 0.01742, 0.01839, 0.01873, 0.01839, 0.01742, 0.01590, 0.01399, 0.01187, 0.00976, 0.00784, 0.00633, 0.00535, 0.00502, 0.00535, 0.00633, 0.00784, 0.00976, 0.01167, 0.01420, 0.01656, 0.01859, 0.02014, 0.02112, 0.02145, 0.02112, 0.02014, 0.01859, 0.01656, 0.01420, 0.01167, 0.00913, 0.00677, 0.00474, 0.00319, 0.00221, 0.00188, + 0.00221, 0.00319, 0.00474, 0.00677, 0.00913, 0.01117, 0.01462, 0.01783, 0.02059, 0.02271, 0.02404, 0.02449, 0.02404, 0.02271, 0.02059, 0.01783, 0.01462, 0.01117, 0.00773, 0.00452, 0.00176, 0.00002, 0.00012, 0.00015, 0.00012, 0.00002, 0.00176, 0.00452, 0.00773, 0.01006, 0.01456, 0.01877, 0.02204, 0.02204, 0.02204, 0.02204, 0.02204, 0.02204, 0.02204, 0.01877, 0.01456, + 0.01006, 0.00555, 0.00135, 0.00016, 0.00035, 0.00047, 0.00051, 0.00047, 0.00035, 0.00016, 0.00135, 0.00555, 0.00772, 0.01567, 0.01692, 0.01692, 0.01692, 0.01692, 0.01692, 0.01601, 0.00772, 0.00002, 0.00051, 0.00082, 0.00094, 0.00083, 0.00051, 0.00004, 0.00266, 0.00584, 0.00584, 0.00584, 0.00584, 0.00584, 0.00266, 0.00046, 0.00058, 0.00059, 0.00058, 0.00046, 0.01148, + 0.01147, 0.01290, 0.01349, 0.01290, 0.01147, 0.01004, 0.00945, 0.01004, 0.01144, 0.01300, 0.01438, 0.01527, 6.74210, 0.01530, 0.01438, 0.01307, 0.01144, 0.00988, 0.00849, 0.00761, 0.00728, 0.00758, 0.00849, 0.00981, 0.01136, 0.01338, 0.01521, 0.01666, 0.01759, 0.01791, 0.01759, 0.01666, 0.01521, 0.01338, 0.01136, 0.00933, 0.00750, 0.00605, 0.00512, 0.00480, 0.00512, + 0.00605, 0.00750, 0.00933, 0.01116, 0.01358, 0.01584, 0.01778, 0.01927, 0.02020, 0.02052, 0.02020, 0.01927, 0.01778, 0.01584, 0.01358, 0.01116, 0.00873, 0.00648, 0.00454, 0.00305, 0.00211, 0.00180, 0.00211, 0.00305, 0.00454, 0.00648, 0.00873, 0.01069, 0.01398, 0.01706, 0.01969, 0.02172, 0.02299, 0.02342, 0.02299, 0.02172, 0.01969, 0.01706, 0.01398, 0.01069, 0.00739, + 0.00432, 0.00168, 0.00002, 0.00011, 0.00014, 0.00011, 0.00002, 0.00168, 0.00432, 0.00739, 0.00962, 0.01393, 0.01795, 0.02108, 0.02108, 0.02108, 0.02108, 0.02108, 0.02108, 0.02108, 0.01795, 0.01393, 0.00962, 0.00531, 0.00129, 0.00015, 0.00033, 0.00045, 0.00049, 0.00045, 0.00033, 0.00015, 0.00129, 0.00531, 0.00739, 0.01499, 0.01618, 0.01618, 0.01618, 0.01618, 0.01618, + 0.01531, 0.00739, 0.00001, 0.00048, 0.00078, 0.00090, 0.00079, 0.00048, 0.00004, 0.00255, 0.00558, 0.00558, 0.00558, 0.00558, 0.00558, 0.00255, 0.00044, 0.00056, 0.00057, 0.00056, 0.00044, 0.01196, 0.01195, 0.01344, 0.01405, 0.01344, 0.01195, 0.01046, 0.00984, 0.01046, 0.01192, 0.01354, 0.01498, 0.01591, 0.01625, 6.74243, 0.01498, 0.01361, 0.01192, 0.01029, 0.00885, + 0.00792, 0.00758, 0.00789, 0.00885, 0.01022, 0.01183, 0.01394, 0.01584, 0.01736, 0.01833, 0.01866, 0.01833, 0.01736, 0.01584, 0.01394, 0.01183, 0.00972, 0.00782, 0.00630, 0.00533, 0.00500, 0.00533, 0.00630, 0.00782, 0.00972, 0.01162, 0.01415, 0.01650, 0.01852, 0.02007, 0.02104, 0.02138, 0.02104, 0.02007, 0.01852, 0.01650, 0.01415, 0.01162, 0.00910, 0.00675, 0.00473, + 0.00318, 0.00220, 0.00187, 0.00220, 0.00318, 0.00473, 0.00675, 0.00910, 0.01113, 0.01457, 0.01777, 0.02051, 0.02262, 0.02395, 0.02440, 0.02395, 0.02262, 0.02051, 0.01777, 0.01457, 0.01113, 0.00770, 0.00450, 0.00175, 0.00002, 0.00012, 0.00015, 0.00012, 0.00002, 0.00175, 0.00450, 0.00770, 0.01002, 0.01451, 0.01870, 0.02196, 0.02196, 0.02196, 0.02196, 0.02196, 0.02196, + 0.02196, 0.01870, 0.01451, 0.01002, 0.00553, 0.00134, 0.00016, 0.00035, 0.00047, 0.00051, 0.00047, 0.00035, 0.00016, 0.00134, 0.00553, 0.00769, 0.01561, 0.01686, 0.01686, 0.01686, 0.01686, 0.01686, 0.01595, 0.00769, 0.00002, 0.00050, 0.00082, 0.00093, 0.00083, 0.00050, 0.00004, 0.00265, 0.00581, 0.00582, 0.00582, 0.00582, 0.00581, 0.00265, 0.00046, 0.00058, 0.00059, + 0.00058, 0.00046, 0.01340, 0.01339, 0.01506, 0.01575, 0.01506, 0.01339, 0.01172, 0.01103, 0.01172, 0.01336, 0.01518, 0.01679, 0.01783, 0.01822, 0.01786, 6.74329, 0.01526, 0.01336, 0.01153, 0.00992, 0.00888, 0.00849, 0.00885, 0.00992, 0.01146, 0.01326, 0.01563, 0.01776, 0.01945, 0.02054, 0.02092, 0.02054, 0.01945, 0.01776, 0.01563, 0.01326, 0.01089, 0.00876, 0.00707, + 0.00598, 0.00560, 0.00598, 0.00707, 0.00876, 0.01089, 0.01303, 0.01586, 0.01849, 0.02076, 0.02250, 0.02359, 0.02396, 0.02359, 0.02250, 0.02076, 0.01849, 0.01586, 0.01303, 0.01020, 0.00756, 0.00530, 0.00356, 0.00247, 0.00210, 0.00247, 0.00356, 0.00530, 0.00756, 0.01020, 0.01248, 0.01633, 0.01991, 0.02299, 0.02536, 0.02684, 0.02735, 0.02684, 0.02536, 0.02299, 0.01991, + 0.01633, 0.01248, 0.00863, 0.00504, 0.00196, 0.00003, 0.00013, 0.00017, 0.00013, 0.00003, 0.00196, 0.00504, 0.00863, 0.01123, 0.01627, 0.02096, 0.02462, 0.02462, 0.02461, 0.02461, 0.02461, 0.02462, 0.02462, 0.02096, 0.01627, 0.01123, 0.00620, 0.00150, 0.00018, 0.00039, 0.00052, 0.00057, 0.00052, 0.00039, 0.00018, 0.00150, 0.00620, 0.00862, 0.01750, 0.01890, 0.01890, + 0.01890, 0.01890, 0.01890, 0.01788, 0.00862, 0.00002, 0.00056, 0.00091, 0.00105, 0.00093, 0.00056, 0.00004, 0.00297, 0.00652, 0.00652, 0.00652, 0.00652, 0.00652, 0.00297, 0.00051, 0.00065, 0.00066, 0.00065, 0.00051, 0.01548, 0.01547, 0.01740, 0.01820, 0.01740, 0.01547, 0.01354, 0.01274, 0.01354, 0.01543, 0.01753, 0.01940, 0.02060, 0.02104, 0.02063, 0.01940, 6.74412, + 0.01543, 0.01332, 0.01146, 0.01026, 0.00981, 0.01022, 0.01146, 0.01323, 0.01532, 0.01805, 0.02051, 0.02247, 0.02373, 0.02416, 0.02373, 0.02247, 0.02051, 0.01805, 0.01532, 0.01258, 0.01012, 0.00816, 0.00691, 0.00647, 0.00691, 0.00816, 0.01012, 0.01258, 0.01505, 0.01832, 0.02136, 0.02398, 0.02598, 0.02724, 0.02767, 0.02724, 0.02598, 0.02398, 0.02136, 0.01832, 0.01505, + 0.01178, 0.00873, 0.00612, 0.00411, 0.00285, 0.00242, 0.00285, 0.00411, 0.00612, 0.00873, 0.01178, 0.01441, 0.01886, 0.02300, 0.02656, 0.02929, 0.03101, 0.03159, 0.03101, 0.02929, 0.02656, 0.02300, 0.01886, 0.01441, 0.00997, 0.00582, 0.00227, 0.00003, 0.00015, 0.00019, 0.00015, 0.00003, 0.00227, 0.00582, 0.00997, 0.01297, 0.01879, 0.02421, 0.02844, 0.02843, 0.02843, + 0.02843, 0.02843, 0.02843, 0.02844, 0.02421, 0.01879, 0.01297, 0.00716, 0.00174, 0.00020, 0.00045, 0.00061, 0.00066, 0.00061, 0.00045, 0.00020, 0.00174, 0.00716, 0.00996, 0.02021, 0.02183, 0.02183, 0.02183, 0.02183, 0.02183, 0.02065, 0.00996, 0.00002, 0.00065, 0.00106, 0.00121, 0.00107, 0.00065, 0.00005, 0.00343, 0.00753, 0.00753, 0.00753, 0.00753, 0.00753, 0.00343, + 0.00059, 0.00075, 0.00077, 0.00075, 0.00059, 0.01805, 0.01803, 0.02028, 0.02121, 0.02028, 0.01803, 0.01578, 0.01485, 0.01578, 0.01798, 0.02044, 0.02261, 0.02401, 0.02453, 0.02405, 0.02261, 0.02054, 6.74448, 0.01553, 0.01336, 0.01196, 0.01144, 0.01192, 0.01336, 0.01543, 0.01786, 0.02104, 0.02392, 0.02620, 0.02766, 0.02817, 0.02766, 0.02620, 0.02392, 0.02104, 0.01786, + 0.01467, 0.01180, 0.00952, 0.00805, 0.00755, 0.00805, 0.00952, 0.01180, 0.01467, 0.01754, 0.02135, 0.02490, 0.02795, 0.03029, 0.03176, 0.03226, 0.03176, 0.03029, 0.02795, 0.02490, 0.02135, 0.01754, 0.01373, 0.01018, 0.00713, 0.00479, 0.00332, 0.00282, 0.00332, 0.00479, 0.00713, 0.01018, 0.01373, 0.01680, 0.02199, 0.02682, 0.03096, 0.03415, 0.03615, 0.03683, 0.03615, + 0.03415, 0.03096, 0.02682, 0.02199, 0.01680, 0.01162, 0.00679, 0.00264, 0.00004, 0.00018, 0.00022, 0.00018, 0.00004, 0.00264, 0.00679, 0.01162, 0.01512, 0.02190, 0.02822, 0.03315, 0.03315, 0.03314, 0.03314, 0.03314, 0.03315, 0.03315, 0.02822, 0.02190, 0.01512, 0.00834, 0.00203, 0.00024, 0.00052, 0.00071, 0.00077, 0.00071, 0.00052, 0.00024, 0.00203, 0.00834, 0.01161, + 0.02356, 0.02544, 0.02544, 0.02544, 0.02544, 0.02544, 0.02408, 0.01161, 0.00002, 0.00076, 0.00123, 0.00141, 0.00125, 0.00076, 0.00006, 0.00400, 0.00878, 0.00878, 0.00878, 0.00878, 0.00878, 0.00400, 0.00069, 0.00088, 0.00089, 0.00088, 0.00069, 0.02051, 0.02049, 0.02305, 0.02410, 0.02305, 0.02049, 0.01794, 0.01688, 0.01794, 0.02044, 0.02322, 0.02570, 0.02728, 0.02787, + 0.02733, 0.02570, 0.02334, 0.02044, 6.74415, 0.01518, 0.01359, 0.01300, 0.01354, 0.01518, 0.01753, 0.02029, 0.02391, 0.02718, 0.02977, 0.03143, 0.03201, 0.03143, 0.02977, 0.02718, 0.02391, 0.02029, 0.01667, 0.01340, 0.01081, 0.00915, 0.00858, 0.00915, 0.01081, 0.01340, 0.01667, 0.01993, 0.02426, 0.02830, 0.03176, 0.03442, 0.03609, 0.03666, 0.03609, 0.03442, 0.03176, + 0.02830, 0.02426, 0.01993, 0.01561, 0.01157, 0.00811, 0.00545, 0.00378, 0.00321, 0.00378, 0.00545, 0.00811, 0.01157, 0.01561, 0.01909, 0.02498, 0.03047, 0.03519, 0.03880, 0.04108, 0.04185, 0.04108, 0.03880, 0.03519, 0.03047, 0.02498, 0.01909, 0.01320, 0.00772, 0.00300, 0.00004, 0.00020, 0.00025, 0.00020, 0.00004, 0.00300, 0.00772, 0.01320, 0.01719, 0.02489, 0.03207, + 0.03767, 0.03767, 0.03766, 0.03766, 0.03766, 0.03767, 0.03767, 0.03207, 0.02489, 0.01719, 0.00948, 0.00230, 0.00027, 0.00060, 0.00080, 0.00087, 0.00080, 0.00060, 0.00027, 0.00230, 0.00948, 0.01319, 0.02677, 0.02891, 0.02891, 0.02891, 0.02891, 0.02891, 0.02736, 0.01319, 0.00003, 0.00086, 0.00140, 0.00160, 0.00142, 0.00086, 0.00007, 0.00455, 0.00997, 0.00997, 0.00997, + 0.00997, 0.00997, 0.00455, 0.00078, 0.00100, 0.00101, 0.00100, 0.00078, 0.02269, 0.02267, 0.02550, 0.02667, 0.02550, 0.02267, 0.01985, 0.01868, 0.01985, 0.02261, 0.02570, 0.02843, 0.03019, 0.03084, 0.03024, 0.02843, 0.02583, 0.02261, 0.01953, 6.74329, 0.01504, 0.01438, 0.01498, 0.01679, 0.01940, 0.02245, 0.02646, 0.03007, 0.03294, 0.03478, 0.03541, 0.03478, 0.03294, + 0.03007, 0.02646, 0.02245, 0.01845, 0.01483, 0.01196, 0.01012, 0.00949, 0.01012, 0.01196, 0.01483, 0.01845, 0.02206, 0.02685, 0.03131, 0.03515, 0.03809, 0.03994, 0.04057, 0.03994, 0.03809, 0.03515, 0.03131, 0.02685, 0.02206, 0.01727, 0.01280, 0.00897, 0.00603, 0.00418, 0.00355, 0.00418, 0.00603, 0.00897, 0.01280, 0.01727, 0.02113, 0.02765, 0.03372, 0.03893, 0.04293, + 0.04545, 0.04631, 0.04545, 0.04293, 0.03893, 0.03372, 0.02765, 0.02113, 0.01461, 0.00854, 0.00332, 0.00005, 0.00022, 0.00028, 0.00022, 0.00005, 0.00332, 0.00854, 0.01461, 0.01902, 0.02754, 0.03548, 0.04168, 0.04168, 0.04167, 0.04167, 0.04167, 0.04168, 0.04168, 0.03548, 0.02754, 0.01902, 0.01049, 0.00255, 0.00030, 0.00066, 0.00089, 0.00097, 0.00089, 0.00066, 0.00030, + 0.00255, 0.01049, 0.01460, 0.02963, 0.03199, 0.03199, 0.03199, 0.03199, 0.03199, 0.03027, 0.01460, 0.00003, 0.00096, 0.00155, 0.00177, 0.00157, 0.00096, 0.00007, 0.00503, 0.01103, 0.01104, 0.01104, 0.01104, 0.01103, 0.00503, 0.00086, 0.00110, 0.00112, 0.00110, 0.00086, 0.02409, 0.02407, 0.02708, 0.02832, 0.02708, 0.02407, 0.02107, 0.01983, 0.02107, 0.02401, 0.02728, + 0.03019, 0.03205, 0.03275, 0.03211, 0.03019, 0.02742, 0.02401, 0.02074, 0.01783, 6.74246, 0.01527, 0.01591, 0.01783, 0.02060, 0.02384, 0.02809, 0.03193, 0.03497, 0.03693, 0.03760, 0.03693, 0.03497, 0.03193, 0.02809, 0.02384, 0.01959, 0.01575, 0.01270, 0.01075, 0.01008, 0.01075, 0.01270, 0.01575, 0.01959, 0.02342, 0.02851, 0.03325, 0.03732, 0.04044, 0.04240, 0.04307, + 0.04240, 0.04044, 0.03732, 0.03325, 0.02851, 0.02342, 0.01833, 0.01359, 0.00952, 0.00640, 0.00444, 0.00377, 0.00444, 0.00640, 0.00952, 0.01359, 0.01833, 0.02243, 0.02935, 0.03580, 0.04134, 0.04559, 0.04826, 0.04917, 0.04826, 0.04559, 0.04134, 0.03580, 0.02935, 0.02243, 0.01551, 0.00907, 0.00353, 0.00005, 0.00024, 0.00030, 0.00024, 0.00005, 0.00353, 0.00907, 0.01551, + 0.02019, 0.02924, 0.03768, 0.04426, 0.04425, 0.04425, 0.04425, 0.04425, 0.04425, 0.04426, 0.03768, 0.02924, 0.02019, 0.01114, 0.00270, 0.00031, 0.00070, 0.00094, 0.00103, 0.00094, 0.00070, 0.00031, 0.00270, 0.01114, 0.01550, 0.03146, 0.03397, 0.03397, 0.03397, 0.03397, 0.03397, 0.03214, 0.01550, 0.00003, 0.00101, 0.00164, 0.00188, 0.00166, 0.00101, 0.00008, 0.00535, + 0.01172, 0.01172, 0.01172, 0.01172, 0.01172, 0.00535, 0.00092, 0.00117, 0.00119, 0.00117, 0.00092, 0.02461, 0.02460, 0.02766, 0.02893, 0.02766, 0.02460, 0.02153, 0.02026, 0.02153, 0.02453, 0.02787, 0.03084, 0.03275, 0.03346, 0.03281, 0.03084, 0.02802, 0.02453, 0.02119, 0.01822, 0.01631, 6.74210, 0.01625, 0.01822, 0.02104, 0.02436, 0.02870, 0.03262, 0.03573, 0.03773, + 0.03842, 0.03773, 0.03573, 0.03262, 0.02870, 0.02436, 0.02001, 0.01609, 0.01298, 0.01098, 0.01029, 0.01098, 0.01298, 0.01609, 0.02001, 0.02393, 0.02912, 0.03397, 0.03813, 0.04132, 0.04332, 0.04401, 0.04332, 0.04132, 0.03813, 0.03397, 0.02912, 0.02393, 0.01873, 0.01389, 0.00973, 0.00654, 0.00453, 0.00385, 0.00453, 0.00654, 0.00973, 0.01389, 0.01873, 0.02292, 0.02999, + 0.03658, 0.04223, 0.04657, 0.04930, 0.05023, 0.04930, 0.04657, 0.04223, 0.03658, 0.02999, 0.02292, 0.01585, 0.00926, 0.00361, 0.00005, 0.00024, 0.00030, 0.00024, 0.00005, 0.00361, 0.00926, 0.01585, 0.02063, 0.02987, 0.03849, 0.04522, 0.04521, 0.04521, 0.04521, 0.04521, 0.04521, 0.04522, 0.03849, 0.02987, 0.02063, 0.01138, 0.00276, 0.00032, 0.00072, 0.00096, 0.00105, + 0.00096, 0.00072, 0.00032, 0.00276, 0.01138, 0.01584, 0.03214, 0.03471, 0.03470, 0.03470, 0.03470, 0.03471, 0.03284, 0.01584, 0.00003, 0.00104, 0.00168, 0.00192, 0.00170, 0.00104, 0.00008, 0.00546, 0.01197, 0.01197, 0.01197, 0.01197, 0.01197, 0.00546, 0.00094, 0.00119, 0.00122, 0.00119, 0.00094, 0.02413, 0.02412, 0.02713, 0.02837, 0.02713, 0.02412, 0.02111, 0.01987, + 0.02111, 0.02405, 0.02733, 0.03024, 0.03211, 0.03281, 0.03217, 0.03024, 0.02747, 0.02405, 0.02077, 0.01786, 0.01599, 0.01530, 6.74243, 0.01786, 0.02063, 0.02388, 0.02814, 0.03199, 0.03504, 0.03700, 0.03767, 0.03700, 0.03504, 0.03199, 0.02814, 0.02388, 0.01962, 0.01578, 0.01273, 0.01077, 0.01009, 0.01077, 0.01273, 0.01578, 0.01962, 0.02346, 0.02856, 0.03331, 0.03738, + 0.04051, 0.04248, 0.04315, 0.04248, 0.04051, 0.03738, 0.03331, 0.02856, 0.02346, 0.01837, 0.01362, 0.00954, 0.00641, 0.00445, 0.00378, 0.00445, 0.00641, 0.00954, 0.01362, 0.01837, 0.02247, 0.02941, 0.03587, 0.04141, 0.04567, 0.04834, 0.04926, 0.04834, 0.04567, 0.04141, 0.03587, 0.02941, 0.02247, 0.01554, 0.00908, 0.00354, 0.00005, 0.00024, 0.00030, 0.00024, 0.00005, + 0.00354, 0.00908, 0.01554, 0.02023, 0.02929, 0.03774, 0.04434, 0.04433, 0.04433, 0.04433, 0.04433, 0.04433, 0.04434, 0.03774, 0.02929, 0.02023, 0.01116, 0.00271, 0.00032, 0.00070, 0.00094, 0.00103, 0.00094, 0.00070, 0.00032, 0.00271, 0.01116, 0.01553, 0.03151, 0.03403, 0.03403, 0.03403, 0.03403, 0.03403, 0.03220, 0.01553, 0.00003, 0.00102, 0.00165, 0.00188, 0.00167, + 0.00102, 0.00008, 0.00536, 0.01174, 0.01174, 0.01174, 0.01174, 0.01174, 0.00536, 0.00092, 0.00117, 0.00119, 0.00117, 0.00092, 0.02269, 0.02267, 0.02550, 0.02667, 0.02550, 0.02267, 0.01985, 0.01868, 0.01985, 0.02261, 0.02570, 0.02843, 0.03019, 0.03084, 0.03024, 0.02843, 0.02583, 0.02261, 0.01953, 0.01679, 0.01504, 0.01438, 0.01498, 6.74329, 0.01940, 0.02245, 0.02646, + 0.03007, 0.03294, 0.03478, 0.03541, 0.03478, 0.03294, 0.03007, 0.02646, 0.02245, 0.01845, 0.01483, 0.01196, 0.01012, 0.00949, 0.01012, 0.01196, 0.01483, 0.01845, 0.02206, 0.02685, 0.03131, 0.03515, 0.03809, 0.03994, 0.04057, 0.03994, 0.03809, 0.03515, 0.03131, 0.02685, 0.02206, 0.01727, 0.01280, 0.00897, 0.00603, 0.00418, 0.00355, 0.00418, 0.00603, 0.00897, 0.01280, + 0.01727, 0.02113, 0.02765, 0.03372, 0.03893, 0.04293, 0.04545, 0.04631, 0.04545, 0.04293, 0.03893, 0.03372, 0.02765, 0.02113, 0.01461, 0.00854, 0.00332, 0.00005, 0.00022, 0.00028, 0.00022, 0.00005, 0.00332, 0.00854, 0.01461, 0.01902, 0.02754, 0.03548, 0.04168, 0.04168, 0.04167, 0.04167, 0.04167, 0.04168, 0.04168, 0.03548, 0.02754, 0.01902, 0.01049, 0.00255, 0.00030, + 0.00066, 0.00089, 0.00097, 0.00089, 0.00066, 0.00030, 0.00255, 0.01049, 0.01460, 0.02963, 0.03199, 0.03199, 0.03199, 0.03199, 0.03199, 0.03027, 0.01460, 0.00003, 0.00096, 0.00155, 0.00177, 0.00157, 0.00096, 0.00007, 0.00503, 0.01103, 0.01104, 0.01104, 0.01104, 0.01103, 0.00503, 0.00086, 0.00110, 0.00112, 0.00110, 0.00086, 0.02061, 0.02060, 0.02317, 0.02423, 0.02317, + 0.02060, 0.01803, 0.01697, 0.01803, 0.02054, 0.02334, 0.02583, 0.02742, 0.02802, 0.02747, 0.02583, 0.02346, 0.02054, 0.01774, 0.01526, 0.01366, 0.01307, 0.01361, 0.01526, 6.74412, 0.02040, 0.02403, 0.02732, 0.02992, 0.03159, 0.03217, 0.03159, 0.02992, 0.02732, 0.02403, 0.02040, 0.01676, 0.01347, 0.01087, 0.00920, 0.00862, 0.00920, 0.01087, 0.01347, 0.01676, 0.02004, + 0.02439, 0.02844, 0.03193, 0.03460, 0.03628, 0.03685, 0.03628, 0.03460, 0.03193, 0.02844, 0.02439, 0.02004, 0.01569, 0.01163, 0.00815, 0.00548, 0.00380, 0.00322, 0.00380, 0.00548, 0.00815, 0.01163, 0.01569, 0.01919, 0.02511, 0.03063, 0.03537, 0.03900, 0.04129, 0.04207, 0.04129, 0.03900, 0.03537, 0.03063, 0.02511, 0.01919, 0.01327, 0.00776, 0.00302, 0.00004, 0.00020, + 0.00026, 0.00020, 0.00004, 0.00302, 0.00776, 0.01327, 0.01727, 0.02502, 0.03223, 0.03786, 0.03786, 0.03786, 0.03786, 0.03786, 0.03786, 0.03786, 0.03223, 0.02502, 0.01727, 0.00953, 0.00231, 0.00027, 0.00060, 0.00081, 0.00088, 0.00081, 0.00060, 0.00027, 0.00231, 0.00953, 0.01326, 0.02691, 0.02906, 0.02906, 0.02906, 0.02906, 0.02906, 0.02750, 0.01326, 0.00003, 0.00087, + 0.00141, 0.00161, 0.00142, 0.00087, 0.00007, 0.00457, 0.01002, 0.01003, 0.01003, 0.01003, 0.01002, 0.00457, 0.00079, 0.00100, 0.00102, 0.00100, 0.00079, 0.01792, 0.01790, 0.02014, 0.02106, 0.02014, 0.01790, 0.01567, 0.01475, 0.01567, 0.01786, 0.02029, 0.02245, 0.02384, 0.02436, 0.02388, 0.02245, 0.02040, 0.01786, 0.01542, 0.01326, 0.01187, 0.01136, 0.01183, 0.01326, + 0.01532, 6.37531, 0.02089, 0.02375, 0.02601, 0.02746, 0.02796, 0.02746, 0.02601, 0.02375, 0.02089, 0.01773, 0.01457, 0.01171, 0.00945, 0.00799, 0.00749, 0.00799, 0.00945, 0.01171, 0.01457, 0.01742, 0.02120, 0.02473, 0.02775, 0.03008, 0.03154, 0.03203, 0.03154, 0.03008, 0.02775, 0.02473, 0.02120, 0.01742, 0.01364, 0.01011, 0.00708, 0.00476, 0.00330, 0.00280, 0.00330, + 0.00476, 0.00708, 0.01011, 0.01364, 0.01668, 0.02183, 0.02663, 0.03074, 0.03390, 0.03589, 0.03657, 0.03589, 0.03390, 0.03074, 0.02663, 0.02183, 0.01668, 0.01154, 0.00674, 0.00262, 0.00004, 0.00017, 0.00022, 0.00017, 0.00004, 0.00262, 0.00674, 0.01154, 0.01502, 0.02175, 0.02802, 0.03291, 0.03291, 0.03291, 0.03291, 0.03291, 0.03291, 0.03291, 0.02802, 0.02175, 0.01502, + 0.00828, 0.00201, 0.00023, 0.00052, 0.00070, 0.00076, 0.00070, 0.00052, 0.00023, 0.00201, 0.00828, 0.01153, 0.02339, 0.02526, 0.02526, 0.02526, 0.02526, 0.02526, 0.02390, 0.01153, 0.00002, 0.00075, 0.00122, 0.00140, 0.00124, 0.00075, 0.00006, 0.00398, 0.00871, 0.00872, 0.00872, 0.00872, 0.00871, 0.00398, 0.00068, 0.00087, 0.00089, 0.00087, 0.00068, 0.01472, 0.01471, + 0.01654, 0.01730, 0.01654, 0.01471, 0.01288, 0.01212, 0.01288, 0.01467, 0.01667, 0.01845, 0.01959, 0.02001, 0.01962, 0.01845, 0.01676, 0.01467, 0.01267, 0.01089, 0.00976, 0.00933, 0.00972, 0.01089, 0.01258, 0.01457, 6.37474, 0.01951, 0.02137, 0.02256, 0.02298, 0.02256, 0.02137, 0.01951, 0.01716, 0.01457, 0.01197, 0.00962, 0.00776, 0.00657, 0.00616, 0.00657, 0.00776, + 0.00962, 0.01197, 0.01431, 0.01742, 0.02031, 0.02280, 0.02471, 0.02591, 0.02632, 0.02591, 0.02471, 0.02280, 0.02031, 0.01742, 0.01431, 0.01120, 0.00831, 0.00582, 0.00391, 0.00271, 0.00230, 0.00271, 0.00391, 0.00582, 0.00831, 0.01120, 0.01371, 0.01794, 0.02188, 0.02526, 0.02785, 0.02949, 0.03004, 0.02949, 0.02785, 0.02526, 0.02188, 0.01794, 0.01371, 0.00948, 0.00554, + 0.00216, 0.00003, 0.00014, 0.00018, 0.00014, 0.00003, 0.00216, 0.00554, 0.00948, 0.01234, 0.01787, 0.02302, 0.02704, 0.02704, 0.02704, 0.02704, 0.02704, 0.02704, 0.02704, 0.02302, 0.01787, 0.01234, 0.00681, 0.00165, 0.00019, 0.00043, 0.00058, 0.00063, 0.00058, 0.00043, 0.00019, 0.00165, 0.00681, 0.00947, 0.01922, 0.02076, 0.02076, 0.02076, 0.02076, 0.02076, 0.01964, + 0.00947, 0.00002, 0.00062, 0.00100, 0.00115, 0.00102, 0.00062, 0.00005, 0.00327, 0.00716, 0.00716, 0.00716, 0.00716, 0.00716, 0.00327, 0.00056, 0.00071, 0.00073, 0.00071, 0.00056, 0.01184, 0.01183, 0.01330, 0.01391, 0.01330, 0.01183, 0.01035, 0.00974, 0.01035, 0.01180, 0.01340, 0.01483, 0.01575, 0.01609, 0.01578, 0.01483, 0.01347, 0.01180, 0.01019, 0.00876, 0.00784, + 0.00750, 0.00782, 0.00876, 0.01012, 0.01171, 0.01380, 6.37326, 0.01718, 0.01814, 0.01847, 0.01814, 0.01718, 0.01569, 0.01380, 0.01171, 0.00962, 0.00774, 0.00624, 0.00528, 0.00495, 0.00528, 0.00624, 0.00774, 0.00962, 0.01151, 0.01401, 0.01633, 0.01833, 0.01987, 0.02083, 0.02116, 0.02083, 0.01987, 0.01833, 0.01633, 0.01401, 0.01151, 0.00901, 0.00668, 0.00468, 0.00315, + 0.00218, 0.00185, 0.00218, 0.00315, 0.00468, 0.00668, 0.00901, 0.01102, 0.01442, 0.01759, 0.02031, 0.02240, 0.02371, 0.02416, 0.02371, 0.02240, 0.02031, 0.01759, 0.01442, 0.01102, 0.00762, 0.00445, 0.00173, 0.00002, 0.00012, 0.00015, 0.00012, 0.00002, 0.00173, 0.00445, 0.00762, 0.00992, 0.01437, 0.01851, 0.02174, 0.02174, 0.02174, 0.02174, 0.02174, 0.02174, 0.02174, + 0.01851, 0.01437, 0.00992, 0.00547, 0.00133, 0.00015, 0.00034, 0.00046, 0.00050, 0.00046, 0.00034, 0.00015, 0.00133, 0.00547, 0.00762, 0.01546, 0.01669, 0.01669, 0.01669, 0.01669, 0.01669, 0.01579, 0.00762, 0.00002, 0.00050, 0.00081, 0.00092, 0.00082, 0.00050, 0.00004, 0.00263, 0.00576, 0.00576, 0.00576, 0.00576, 0.00576, 0.00263, 0.00045, 0.00057, 0.00059, 0.00057, + 0.00045, 0.00955, 0.00954, 0.01073, 0.01122, 0.01073, 0.00954, 0.00835, 0.00786, 0.00835, 0.00952, 0.01081, 0.01196, 0.01270, 0.01298, 0.01273, 0.01196, 0.01087, 0.00952, 0.00822, 0.00707, 0.00633, 0.00605, 0.00630, 0.00707, 0.00816, 0.00945, 0.01113, 0.01265, 6.37144, 0.01464, 0.01490, 0.01464, 0.01386, 0.01265, 0.01113, 0.00945, 0.00776, 0.00624, 0.00503, 0.00426, + 0.00399, 0.00426, 0.00503, 0.00624, 0.00776, 0.00928, 0.01130, 0.01318, 0.01479, 0.01603, 0.01681, 0.01707, 0.01681, 0.01603, 0.01479, 0.01318, 0.01130, 0.00928, 0.00727, 0.00539, 0.00377, 0.00254, 0.00176, 0.00149, 0.00176, 0.00254, 0.00377, 0.00539, 0.00727, 0.00889, 0.01163, 0.01419, 0.01638, 0.01807, 0.01913, 0.01949, 0.01913, 0.01807, 0.01638, 0.01419, 0.01163, + 0.00889, 0.00615, 0.00359, 0.00140, 0.00002, 0.00009, 0.00012, 0.00009, 0.00002, 0.00140, 0.00359, 0.00615, 0.00800, 0.01159, 0.01493, 0.01754, 0.01754, 0.01754, 0.01754, 0.01754, 0.01754, 0.01754, 0.01493, 0.01159, 0.00800, 0.00441, 0.00107, 0.00012, 0.00028, 0.00037, 0.00041, 0.00037, 0.00028, 0.00012, 0.00107, 0.00441, 0.00614, 0.01247, 0.01346, 0.01346, 0.01346, + 0.01346, 0.01346, 0.01274, 0.00614, 0.00001, 0.00040, 0.00065, 0.00074, 0.00066, 0.00040, 0.00003, 0.00212, 0.00464, 0.00464, 0.00464, 0.00464, 0.00464, 0.00212, 0.00036, 0.00046, 0.00047, 0.00046, 0.00036, 0.00808, 0.00807, 0.00908, 0.00950, 0.00908, 0.00807, 0.00707, 0.00665, 0.00707, 0.00805, 0.00915, 0.01012, 0.01075, 0.01098, 0.01077, 0.01012, 0.00920, 0.00805, + 0.00695, 0.00598, 0.00535, 0.00512, 0.00533, 0.00598, 0.00691, 0.00799, 0.00942, 0.01071, 0.01173, 6.36996, 0.01261, 0.01238, 0.01173, 0.01071, 0.00942, 0.00799, 0.00657, 0.00528, 0.00426, 0.00360, 0.00338, 0.00360, 0.00426, 0.00528, 0.00657, 0.00785, 0.00956, 0.01115, 0.01251, 0.01356, 0.01422, 0.01444, 0.01422, 0.01356, 0.01251, 0.01115, 0.00956, 0.00785, 0.00615, + 0.00456, 0.00319, 0.00215, 0.00149, 0.00126, 0.00149, 0.00215, 0.00319, 0.00456, 0.00615, 0.00752, 0.00984, 0.01201, 0.01386, 0.01529, 0.01618, 0.01649, 0.01618, 0.01529, 0.01386, 0.01201, 0.00984, 0.00752, 0.00520, 0.00304, 0.00118, 0.00002, 0.00008, 0.00010, 0.00008, 0.00002, 0.00118, 0.00304, 0.00520, 0.00677, 0.00981, 0.01263, 0.01484, 0.01484, 0.01484, 0.01484, + 0.01484, 0.01484, 0.01484, 0.01263, 0.00981, 0.00677, 0.00374, 0.00091, 0.00011, 0.00023, 0.00032, 0.00034, 0.00032, 0.00023, 0.00011, 0.00091, 0.00374, 0.00520, 0.01055, 0.01139, 0.01139, 0.01139, 0.01139, 0.01139, 0.01078, 0.00520, 0.00001, 0.00034, 0.00055, 0.00063, 0.00056, 0.00034, 0.00003, 0.00179, 0.00393, 0.00393, 0.00393, 0.00393, 0.00393, 0.00179, 0.00031, + 0.00039, 0.00040, 0.00039, 0.00031, 0.00757, 0.00757, 0.00851, 0.00890, 0.00851, 0.00757, 0.00662, 0.00623, 0.00662, 0.00755, 0.00858, 0.00949, 0.01008, 0.01029, 0.01009, 0.00949, 0.00862, 0.00755, 0.00652, 0.00560, 0.00502, 0.00480, 0.00500, 0.00560, 0.00647, 0.00749, 0.00883, 0.01004, 0.01099, 0.01161, 6.36940, 0.01161, 0.01099, 0.01004, 0.00883, 0.00749, 0.00616, + 0.00495, 0.00399, 0.00338, 0.00317, 0.00338, 0.00399, 0.00495, 0.00616, 0.00736, 0.00896, 0.01045, 0.01173, 0.01271, 0.01333, 0.01354, 0.01333, 0.01271, 0.01173, 0.01045, 0.00896, 0.00736, 0.00576, 0.00427, 0.00299, 0.00201, 0.00139, 0.00118, 0.00139, 0.00201, 0.00299, 0.00427, 0.00576, 0.00705, 0.00923, 0.01125, 0.01299, 0.01433, 0.01517, 0.01545, 0.01517, 0.01433, + 0.01299, 0.01125, 0.00923, 0.00705, 0.00488, 0.00285, 0.00111, 0.00002, 0.00007, 0.00009, 0.00007, 0.00002, 0.00111, 0.00285, 0.00488, 0.00635, 0.00919, 0.01184, 0.01391, 0.01391, 0.01391, 0.01391, 0.01391, 0.01391, 0.01391, 0.01184, 0.00919, 0.00635, 0.00350, 0.00085, 0.00010, 0.00022, 0.00030, 0.00032, 0.00030, 0.00022, 0.00010, 0.00085, 0.00350, 0.00487, 0.00989, + 0.01068, 0.01068, 0.01068, 0.01068, 0.01068, 0.01010, 0.00487, 0.00001, 0.00032, 0.00052, 0.00059, 0.00052, 0.00032, 0.00002, 0.00168, 0.00368, 0.00368, 0.00368, 0.00368, 0.00368, 0.00168, 0.00029, 0.00037, 0.00037, 0.00037, 0.00029, 0.00808, 0.00807, 0.00908, 0.00950, 0.00908, 0.00807, 0.00707, 0.00665, 0.00707, 0.00805, 0.00915, 0.01012, 0.01075, 0.01098, 0.01077, + 0.01012, 0.00920, 0.00805, 0.00695, 0.00598, 0.00535, 0.00512, 0.00533, 0.00598, 0.00691, 0.00799, 0.00942, 0.01071, 0.01173, 0.01238, 0.01261, 6.36996, 0.01173, 0.01071, 0.00942, 0.00799, 0.00657, 0.00528, 0.00426, 0.00360, 0.00338, 0.00360, 0.00426, 0.00528, 0.00657, 0.00785, 0.00956, 0.01115, 0.01251, 0.01356, 0.01422, 0.01444, 0.01422, 0.01356, 0.01251, 0.01115, + 0.00956, 0.00785, 0.00615, 0.00456, 0.00319, 0.00215, 0.00149, 0.00126, 0.00149, 0.00215, 0.00319, 0.00456, 0.00615, 0.00752, 0.00984, 0.01201, 0.01386, 0.01529, 0.01618, 0.01649, 0.01618, 0.01529, 0.01386, 0.01201, 0.00984, 0.00752, 0.00520, 0.00304, 0.00118, 0.00002, 0.00008, 0.00010, 0.00008, 0.00002, 0.00118, 0.00304, 0.00520, 0.00677, 0.00981, 0.01263, 0.01484, + 0.01484, 0.01484, 0.01484, 0.01484, 0.01484, 0.01484, 0.01263, 0.00981, 0.00677, 0.00374, 0.00091, 0.00011, 0.00023, 0.00032, 0.00034, 0.00032, 0.00023, 0.00011, 0.00091, 0.00374, 0.00520, 0.01055, 0.01139, 0.01139, 0.01139, 0.01139, 0.01139, 0.01078, 0.00520, 0.00001, 0.00034, 0.00055, 0.00063, 0.00056, 0.00034, 0.00003, 0.00179, 0.00393, 0.00393, 0.00393, 0.00393, + 0.00393, 0.00179, 0.00031, 0.00039, 0.00040, 0.00039, 0.00031, 0.00955, 0.00954, 0.01073, 0.01122, 0.01073, 0.00954, 0.00835, 0.00786, 0.00835, 0.00952, 0.01081, 0.01196, 0.01270, 0.01298, 0.01273, 0.01196, 0.01087, 0.00952, 0.00822, 0.00707, 0.00633, 0.00605, 0.00630, 0.00707, 0.00816, 0.00945, 0.01113, 0.01265, 0.01386, 0.01464, 0.01490, 0.01464, 6.37144, 0.01265, + 0.01113, 0.00945, 0.00776, 0.00624, 0.00503, 0.00426, 0.00399, 0.00426, 0.00503, 0.00624, 0.00776, 0.00928, 0.01130, 0.01318, 0.01479, 0.01603, 0.01681, 0.01707, 0.01681, 0.01603, 0.01479, 0.01318, 0.01130, 0.00928, 0.00727, 0.00539, 0.00377, 0.00254, 0.00176, 0.00149, 0.00176, 0.00254, 0.00377, 0.00539, 0.00727, 0.00889, 0.01163, 0.01419, 0.01638, 0.01807, 0.01913, + 0.01949, 0.01913, 0.01807, 0.01638, 0.01419, 0.01163, 0.00889, 0.00615, 0.00359, 0.00140, 0.00002, 0.00009, 0.00012, 0.00009, 0.00002, 0.00140, 0.00359, 0.00615, 0.00800, 0.01159, 0.01493, 0.01754, 0.01754, 0.01754, 0.01754, 0.01754, 0.01754, 0.01754, 0.01493, 0.01159, 0.00800, 0.00441, 0.00107, 0.00012, 0.00028, 0.00037, 0.00041, 0.00037, 0.00028, 0.00012, 0.00107, + 0.00441, 0.00614, 0.01247, 0.01346, 0.01346, 0.01346, 0.01346, 0.01346, 0.01274, 0.00614, 0.00001, 0.00040, 0.00065, 0.00074, 0.00066, 0.00040, 0.00003, 0.00212, 0.00464, 0.00464, 0.00464, 0.00464, 0.00464, 0.00212, 0.00036, 0.00046, 0.00047, 0.00046, 0.00036, 0.01184, 0.01183, 0.01330, 0.01391, 0.01330, 0.01183, 0.01035, 0.00974, 0.01035, 0.01180, 0.01340, 0.01483, + 0.01575, 0.01609, 0.01578, 0.01483, 0.01347, 0.01180, 0.01019, 0.00876, 0.00784, 0.00750, 0.00782, 0.00876, 0.01012, 0.01171, 0.01380, 0.01569, 0.01718, 0.01814, 0.01847, 0.01814, 0.01718, 6.37326, 0.01380, 0.01171, 0.00962, 0.00774, 0.00624, 0.00528, 0.00495, 0.00528, 0.00624, 0.00774, 0.00962, 0.01151, 0.01401, 0.01633, 0.01833, 0.01987, 0.02083, 0.02116, 0.02083, + 0.01987, 0.01833, 0.01633, 0.01401, 0.01151, 0.00901, 0.00668, 0.00468, 0.00315, 0.00218, 0.00185, 0.00218, 0.00315, 0.00468, 0.00668, 0.00901, 0.01102, 0.01442, 0.01759, 0.02031, 0.02240, 0.02371, 0.02416, 0.02371, 0.02240, 0.02031, 0.01759, 0.01442, 0.01102, 0.00762, 0.00445, 0.00173, 0.00002, 0.00012, 0.00015, 0.00012, 0.00002, 0.00173, 0.00445, 0.00762, 0.00992, + 0.01437, 0.01851, 0.02174, 0.02174, 0.02174, 0.02174, 0.02174, 0.02174, 0.02174, 0.01851, 0.01437, 0.00992, 0.00547, 0.00133, 0.00015, 0.00034, 0.00046, 0.00050, 0.00046, 0.00034, 0.00015, 0.00133, 0.00547, 0.00762, 0.01546, 0.01669, 0.01669, 0.01669, 0.01669, 0.01669, 0.01579, 0.00762, 0.00002, 0.00050, 0.00081, 0.00092, 0.00082, 0.00050, 0.00004, 0.00263, 0.00576, + 0.00576, 0.00576, 0.00576, 0.00576, 0.00263, 0.00045, 0.00057, 0.00059, 0.00057, 0.00045, 0.01472, 0.01471, 0.01654, 0.01730, 0.01654, 0.01471, 0.01288, 0.01212, 0.01288, 0.01467, 0.01667, 0.01845, 0.01959, 0.02001, 0.01962, 0.01845, 0.01676, 0.01467, 0.01267, 0.01089, 0.00976, 0.00933, 0.00972, 0.01089, 0.01258, 0.01457, 0.01716, 0.01951, 0.02137, 0.02256, 0.02298, + 0.02256, 0.02137, 0.01951, 6.37474, 0.01457, 0.01197, 0.00962, 0.00776, 0.00657, 0.00616, 0.00657, 0.00776, 0.00962, 0.01197, 0.01431, 0.01742, 0.02031, 0.02280, 0.02471, 0.02591, 0.02632, 0.02591, 0.02471, 0.02280, 0.02031, 0.01742, 0.01431, 0.01120, 0.00831, 0.00582, 0.00391, 0.00271, 0.00230, 0.00271, 0.00391, 0.00582, 0.00831, 0.01120, 0.01371, 0.01794, 0.02188, + 0.02526, 0.02785, 0.02949, 0.03004, 0.02949, 0.02785, 0.02526, 0.02188, 0.01794, 0.01371, 0.00948, 0.00554, 0.00216, 0.00003, 0.00014, 0.00018, 0.00014, 0.00003, 0.00216, 0.00554, 0.00948, 0.01234, 0.01787, 0.02302, 0.02704, 0.02704, 0.02704, 0.02704, 0.02704, 0.02704, 0.02704, 0.02302, 0.01787, 0.01234, 0.00681, 0.00165, 0.00019, 0.00043, 0.00058, 0.00063, 0.00058, + 0.00043, 0.00019, 0.00165, 0.00681, 0.00947, 0.01922, 0.02076, 0.02076, 0.02076, 0.02076, 0.02076, 0.01964, 0.00947, 0.00002, 0.00062, 0.00100, 0.00115, 0.00102, 0.00062, 0.00005, 0.00327, 0.00716, 0.00716, 0.00716, 0.00716, 0.00716, 0.00327, 0.00056, 0.00071, 0.00073, 0.00071, 0.00056, 0.01792, 0.01790, 0.02014, 0.02106, 0.02014, 0.01790, 0.01567, 0.01475, 0.01567, + 0.01786, 0.02029, 0.02245, 0.02384, 0.02436, 0.02388, 0.02245, 0.02040, 0.01786, 0.01542, 0.01326, 0.01187, 0.01136, 0.01183, 0.01326, 0.01532, 0.01773, 0.02089, 0.02375, 0.02601, 0.02746, 0.02796, 0.02746, 0.02601, 0.02375, 0.02089, 6.37531, 0.01457, 0.01171, 0.00945, 0.00799, 0.00749, 0.00799, 0.00945, 0.01171, 0.01457, 0.01742, 0.02120, 0.02473, 0.02775, 0.03008, + 0.03154, 0.03203, 0.03154, 0.03008, 0.02775, 0.02473, 0.02120, 0.01742, 0.01364, 0.01011, 0.00708, 0.00476, 0.00330, 0.00280, 0.00330, 0.00476, 0.00708, 0.01011, 0.01364, 0.01668, 0.02183, 0.02663, 0.03074, 0.03390, 0.03589, 0.03657, 0.03589, 0.03390, 0.03074, 0.02663, 0.02183, 0.01668, 0.01154, 0.00674, 0.00262, 0.00004, 0.00017, 0.00022, 0.00017, 0.00004, 0.00262, + 0.00674, 0.01154, 0.01502, 0.02175, 0.02802, 0.03291, 0.03291, 0.03291, 0.03291, 0.03291, 0.03291, 0.03291, 0.02802, 0.02175, 0.01502, 0.00828, 0.00201, 0.00023, 0.00052, 0.00070, 0.00076, 0.00070, 0.00052, 0.00023, 0.00201, 0.00828, 0.01153, 0.02339, 0.02526, 0.02526, 0.02526, 0.02526, 0.02526, 0.02390, 0.01153, 0.00002, 0.00075, 0.00122, 0.00140, 0.00124, 0.00075, + 0.00006, 0.00398, 0.00871, 0.00872, 0.00872, 0.00872, 0.00871, 0.00398, 0.00068, 0.00087, 0.00089, 0.00087, 0.00068, 0.02111, 0.02110, 0.02373, 0.02482, 0.02373, 0.02110, 0.01847, 0.01738, 0.01847, 0.02104, 0.02391, 0.02646, 0.02809, 0.02870, 0.02814, 0.02646, 0.02403, 0.02104, 0.01817, 0.01563, 0.01399, 0.01338, 0.01394, 0.01563, 0.01805, 0.02089, 0.02462, 0.02798, + 0.03065, 0.03236, 0.03295, 0.03236, 0.03065, 0.02798, 0.02462, 0.02089, 6.37474, 0.01380, 0.01113, 0.00942, 0.00883, 0.00942, 0.01113, 0.01380, 0.01716, 0.02053, 0.02498, 0.02914, 0.03270, 0.03544, 0.03716, 0.03775, 0.03716, 0.03544, 0.03270, 0.02914, 0.02498, 0.02053, 0.01607, 0.01191, 0.00835, 0.00561, 0.00389, 0.00330, 0.00389, 0.00561, 0.00835, 0.01191, 0.01607, + 0.01966, 0.02572, 0.03138, 0.03623, 0.03995, 0.04229, 0.04309, 0.04229, 0.03995, 0.03623, 0.03138, 0.02572, 0.01966, 0.01360, 0.00795, 0.00309, 0.00004, 0.00021, 0.00026, 0.00021, 0.00004, 0.00309, 0.00795, 0.01360, 0.01769, 0.02563, 0.03302, 0.03879, 0.03878, 0.03878, 0.03878, 0.03878, 0.03878, 0.03879, 0.03302, 0.02563, 0.01769, 0.00976, 0.00237, 0.00028, 0.00061, + 0.00083, 0.00090, 0.00083, 0.00061, 0.00028, 0.00237, 0.00976, 0.01359, 0.02757, 0.02977, 0.02977, 0.02977, 0.02977, 0.02977, 0.02817, 0.01359, 0.00003, 0.00089, 0.00144, 0.00165, 0.00146, 0.00089, 0.00007, 0.00469, 0.01027, 0.01027, 0.01027, 0.01027, 0.01027, 0.00469, 0.00080, 0.00103, 0.00104, 0.00103, 0.00080, 0.02400, 0.02398, 0.02697, 0.02821, 0.02697, 0.02398, + 0.02099, 0.01975, 0.02099, 0.02392, 0.02718, 0.03007, 0.03193, 0.03262, 0.03199, 0.03007, 0.02732, 0.02392, 0.02065, 0.01776, 0.01590, 0.01521, 0.01584, 0.01776, 0.02051, 0.02375, 0.02798, 0.03180, 0.03484, 0.03678, 0.03745, 0.03678, 0.03484, 0.03180, 0.02798, 0.02375, 0.01951, 6.37326, 0.01265, 0.01071, 0.01004, 0.01071, 0.01265, 0.01569, 0.01951, 0.02333, 0.02840, + 0.03312, 0.03717, 0.04028, 0.04224, 0.04290, 0.04224, 0.04028, 0.03717, 0.03312, 0.02840, 0.02333, 0.01826, 0.01354, 0.00949, 0.00638, 0.00442, 0.00375, 0.00442, 0.00638, 0.00949, 0.01354, 0.01826, 0.02235, 0.02924, 0.03566, 0.04118, 0.04541, 0.04807, 0.04898, 0.04807, 0.04541, 0.04118, 0.03566, 0.02924, 0.02235, 0.01545, 0.00903, 0.00352, 0.00005, 0.00023, 0.00030, + 0.00023, 0.00005, 0.00352, 0.00903, 0.01545, 0.02011, 0.02913, 0.03753, 0.04408, 0.04408, 0.04407, 0.04407, 0.04407, 0.04408, 0.04408, 0.03753, 0.02913, 0.02011, 0.01110, 0.00269, 0.00031, 0.00070, 0.00094, 0.00102, 0.00094, 0.00070, 0.00031, 0.00269, 0.01110, 0.01544, 0.03133, 0.03384, 0.03384, 0.03384, 0.03384, 0.03384, 0.03202, 0.01544, 0.00003, 0.00101, 0.00164, + 0.00187, 0.00166, 0.00101, 0.00008, 0.00533, 0.01167, 0.01167, 0.01167, 0.01167, 0.01167, 0.00533, 0.00091, 0.00117, 0.00119, 0.00117, 0.00091, 0.02629, 0.02627, 0.02954, 0.03090, 0.02954, 0.02627, 0.02299, 0.02164, 0.02299, 0.02620, 0.02977, 0.03294, 0.03497, 0.03573, 0.03504, 0.03294, 0.02992, 0.02620, 0.02262, 0.01945, 0.01742, 0.01666, 0.01736, 0.01945, 0.02247, + 0.02601, 0.03065, 0.03484, 0.03816, 0.04029, 0.04103, 0.04029, 0.03816, 0.03484, 0.03065, 0.02601, 0.02137, 0.01718, 6.37144, 0.01173, 0.01099, 0.01173, 0.01386, 0.01718, 0.02137, 0.02555, 0.03110, 0.03627, 0.04072, 0.04412, 0.04626, 0.04700, 0.04626, 0.04412, 0.04072, 0.03627, 0.03110, 0.02555, 0.02000, 0.01483, 0.01039, 0.00698, 0.00484, 0.00411, 0.00484, 0.00698, + 0.01039, 0.01483, 0.02000, 0.02448, 0.03203, 0.03906, 0.04510, 0.04974, 0.05265, 0.05365, 0.05265, 0.04974, 0.04510, 0.03906, 0.03203, 0.02448, 0.01693, 0.00989, 0.00385, 0.00005, 0.00026, 0.00033, 0.00026, 0.00005, 0.00385, 0.00989, 0.01693, 0.02203, 0.03190, 0.04111, 0.04829, 0.04828, 0.04828, 0.04828, 0.04828, 0.04828, 0.04829, 0.04111, 0.03190, 0.02203, 0.01215, + 0.00295, 0.00034, 0.00076, 0.00103, 0.00112, 0.00103, 0.00076, 0.00034, 0.00295, 0.01215, 0.01691, 0.03432, 0.03706, 0.03706, 0.03706, 0.03706, 0.03706, 0.03507, 0.01691, 0.00003, 0.00111, 0.00179, 0.00205, 0.00182, 0.00111, 0.00009, 0.00583, 0.01278, 0.01279, 0.01279, 0.01279, 0.01278, 0.00583, 0.00100, 0.00128, 0.00130, 0.00128, 0.00100, 0.02775, 0.02774, 0.03119, + 0.03263, 0.03119, 0.02774, 0.02428, 0.02284, 0.02428, 0.02766, 0.03143, 0.03478, 0.03693, 0.03773, 0.03700, 0.03478, 0.03159, 0.02766, 0.02389, 0.02054, 0.01839, 0.01759, 0.01833, 0.02054, 0.02373, 0.02746, 0.03236, 0.03678, 0.04029, 0.04254, 0.04332, 0.04254, 0.04029, 0.03678, 0.03236, 0.02746, 0.02256, 0.01814, 0.01464, 6.36996, 0.01161, 0.01238, 0.01464, 0.01814, + 0.02256, 0.02698, 0.03284, 0.03830, 0.04299, 0.04659, 0.04885, 0.04962, 0.04885, 0.04659, 0.04299, 0.03830, 0.03284, 0.02698, 0.02112, 0.01566, 0.01097, 0.00737, 0.00511, 0.00434, 0.00511, 0.00737, 0.01097, 0.01566, 0.02112, 0.02584, 0.03382, 0.04125, 0.04762, 0.05252, 0.05560, 0.05665, 0.05560, 0.05252, 0.04762, 0.04125, 0.03382, 0.02584, 0.01787, 0.01044, 0.00407, + 0.00006, 0.00027, 0.00034, 0.00027, 0.00006, 0.00407, 0.01044, 0.01787, 0.02326, 0.03369, 0.04341, 0.05099, 0.05098, 0.05098, 0.05098, 0.05098, 0.05098, 0.05099, 0.04341, 0.03369, 0.02326, 0.01283, 0.00312, 0.00036, 0.00081, 0.00109, 0.00118, 0.00109, 0.00081, 0.00036, 0.00312, 0.01283, 0.01786, 0.03624, 0.03914, 0.03913, 0.03913, 0.03913, 0.03914, 0.03703, 0.01786, + 0.00004, 0.00117, 0.00189, 0.00217, 0.00192, 0.00117, 0.00009, 0.00616, 0.01350, 0.01350, 0.01350, 0.01350, 0.01350, 0.00616, 0.00106, 0.00135, 0.00137, 0.00135, 0.00106, 0.02826, 0.02824, 0.03176, 0.03322, 0.03176, 0.02824, 0.02472, 0.02326, 0.02472, 0.02817, 0.03201, 0.03541, 0.03760, 0.03842, 0.03767, 0.03541, 0.03217, 0.02817, 0.02433, 0.02092, 0.01873, 0.01791, + 0.01866, 0.02092, 0.02416, 0.02796, 0.03295, 0.03745, 0.04103, 0.04332, 0.04411, 0.04332, 0.04103, 0.03745, 0.03295, 0.02796, 0.02298, 0.01847, 0.01490, 0.01261, 6.36940, 0.01261, 0.01490, 0.01847, 0.02298, 0.02747, 0.03344, 0.03900, 0.04378, 0.04744, 0.04974, 0.05053, 0.04974, 0.04744, 0.04378, 0.03900, 0.03344, 0.02747, 0.02151, 0.01595, 0.01117, 0.00751, 0.00521, + 0.00442, 0.00521, 0.00751, 0.01117, 0.01595, 0.02151, 0.02632, 0.03443, 0.04200, 0.04849, 0.05348, 0.05661, 0.05768, 0.05661, 0.05348, 0.04849, 0.04200, 0.03443, 0.02632, 0.01820, 0.01064, 0.00414, 0.00006, 0.00028, 0.00035, 0.00028, 0.00006, 0.00414, 0.01064, 0.01820, 0.02369, 0.03430, 0.04420, 0.05192, 0.05191, 0.05191, 0.05191, 0.05191, 0.05191, 0.05192, 0.04420, + 0.03430, 0.02369, 0.01307, 0.00317, 0.00037, 0.00082, 0.00111, 0.00120, 0.00111, 0.00082, 0.00037, 0.00317, 0.01307, 0.01818, 0.03690, 0.03985, 0.03985, 0.03985, 0.03985, 0.03985, 0.03771, 0.01818, 0.00004, 0.00119, 0.00193, 0.00220, 0.00195, 0.00119, 0.00009, 0.00627, 0.01374, 0.01375, 0.01375, 0.01375, 0.01374, 0.00627, 0.00108, 0.00137, 0.00140, 0.00137, 0.00108, + 0.02775, 0.02774, 0.03119, 0.03263, 0.03119, 0.02774, 0.02428, 0.02284, 0.02428, 0.02766, 0.03143, 0.03478, 0.03693, 0.03773, 0.03700, 0.03478, 0.03159, 0.02766, 0.02389, 0.02054, 0.01839, 0.01759, 0.01833, 0.02054, 0.02373, 0.02746, 0.03236, 0.03678, 0.04029, 0.04254, 0.04332, 0.04254, 0.04029, 0.03678, 0.03236, 0.02746, 0.02256, 0.01814, 0.01464, 0.01238, 0.01161, + 6.36996, 0.01464, 0.01814, 0.02256, 0.02698, 0.03284, 0.03830, 0.04299, 0.04659, 0.04885, 0.04962, 0.04885, 0.04659, 0.04299, 0.03830, 0.03284, 0.02698, 0.02112, 0.01566, 0.01097, 0.00737, 0.00511, 0.00434, 0.00511, 0.00737, 0.01097, 0.01566, 0.02112, 0.02584, 0.03382, 0.04125, 0.04762, 0.05252, 0.05560, 0.05665, 0.05560, 0.05252, 0.04762, 0.04125, 0.03382, 0.02584, + 0.01787, 0.01044, 0.00407, 0.00006, 0.00027, 0.00034, 0.00027, 0.00006, 0.00407, 0.01044, 0.01787, 0.02326, 0.03369, 0.04341, 0.05099, 0.05098, 0.05098, 0.05098, 0.05098, 0.05098, 0.05099, 0.04341, 0.03369, 0.02326, 0.01283, 0.00312, 0.00036, 0.00081, 0.00109, 0.00118, 0.00109, 0.00081, 0.00036, 0.00312, 0.01283, 0.01786, 0.03624, 0.03914, 0.03913, 0.03913, 0.03913, + 0.03914, 0.03703, 0.01786, 0.00004, 0.00117, 0.00189, 0.00217, 0.00192, 0.00117, 0.00009, 0.00616, 0.01350, 0.01350, 0.01350, 0.01350, 0.01350, 0.00616, 0.00106, 0.00135, 0.00137, 0.00135, 0.00106, 0.02629, 0.02627, 0.02954, 0.03090, 0.02954, 0.02627, 0.02299, 0.02164, 0.02299, 0.02620, 0.02977, 0.03294, 0.03497, 0.03573, 0.03504, 0.03294, 0.02992, 0.02620, 0.02262, + 0.01945, 0.01742, 0.01666, 0.01736, 0.01945, 0.02247, 0.02601, 0.03065, 0.03484, 0.03816, 0.04029, 0.04103, 0.04029, 0.03816, 0.03484, 0.03065, 0.02601, 0.02137, 0.01718, 0.01386, 0.01173, 0.01099, 0.01173, 6.37144, 0.01718, 0.02137, 0.02555, 0.03110, 0.03627, 0.04072, 0.04412, 0.04626, 0.04700, 0.04626, 0.04412, 0.04072, 0.03627, 0.03110, 0.02555, 0.02000, 0.01483, + 0.01039, 0.00698, 0.00484, 0.00411, 0.00484, 0.00698, 0.01039, 0.01483, 0.02000, 0.02448, 0.03203, 0.03906, 0.04510, 0.04974, 0.05265, 0.05365, 0.05265, 0.04974, 0.04510, 0.03906, 0.03203, 0.02448, 0.01693, 0.00989, 0.00385, 0.00005, 0.00026, 0.00033, 0.00026, 0.00005, 0.00385, 0.00989, 0.01693, 0.02203, 0.03190, 0.04111, 0.04829, 0.04828, 0.04828, 0.04828, 0.04828, + 0.04828, 0.04829, 0.04111, 0.03190, 0.02203, 0.01215, 0.00295, 0.00034, 0.00076, 0.00103, 0.00112, 0.00103, 0.00076, 0.00034, 0.00295, 0.01215, 0.01691, 0.03432, 0.03706, 0.03706, 0.03706, 0.03706, 0.03706, 0.03507, 0.01691, 0.00003, 0.00111, 0.00179, 0.00205, 0.00182, 0.00111, 0.00009, 0.00583, 0.01278, 0.01279, 0.01279, 0.01279, 0.01278, 0.00583, 0.00100, 0.00128, + 0.00130, 0.00128, 0.00100, 0.02400, 0.02398, 0.02697, 0.02821, 0.02697, 0.02398, 0.02099, 0.01975, 0.02099, 0.02392, 0.02718, 0.03007, 0.03193, 0.03262, 0.03199, 0.03007, 0.02732, 0.02392, 0.02065, 0.01776, 0.01590, 0.01521, 0.01584, 0.01776, 0.02051, 0.02375, 0.02798, 0.03180, 0.03484, 0.03678, 0.03745, 0.03678, 0.03484, 0.03180, 0.02798, 0.02375, 0.01951, 0.01569, + 0.01265, 0.01071, 0.01004, 0.01071, 0.01265, 6.37326, 0.01951, 0.02333, 0.02840, 0.03312, 0.03717, 0.04028, 0.04224, 0.04290, 0.04224, 0.04028, 0.03717, 0.03312, 0.02840, 0.02333, 0.01826, 0.01354, 0.00949, 0.00638, 0.00442, 0.00375, 0.00442, 0.00638, 0.00949, 0.01354, 0.01826, 0.02235, 0.02924, 0.03566, 0.04118, 0.04541, 0.04807, 0.04898, 0.04807, 0.04541, 0.04118, + 0.03566, 0.02924, 0.02235, 0.01545, 0.00903, 0.00352, 0.00005, 0.00023, 0.00030, 0.00023, 0.00005, 0.00352, 0.00903, 0.01545, 0.02011, 0.02913, 0.03753, 0.04408, 0.04408, 0.04407, 0.04407, 0.04407, 0.04408, 0.04408, 0.03753, 0.02913, 0.02011, 0.01110, 0.00269, 0.00031, 0.00070, 0.00094, 0.00102, 0.00094, 0.00070, 0.00031, 0.00269, 0.01110, 0.01544, 0.03133, 0.03384, + 0.03384, 0.03384, 0.03384, 0.03384, 0.03202, 0.01544, 0.00003, 0.00101, 0.00164, 0.00187, 0.00166, 0.00101, 0.00008, 0.00533, 0.01167, 0.01167, 0.01167, 0.01167, 0.01167, 0.00533, 0.00091, 0.00117, 0.00119, 0.00117, 0.00091, 0.02111, 0.02110, 0.02373, 0.02482, 0.02373, 0.02110, 0.01847, 0.01738, 0.01847, 0.02104, 0.02391, 0.02646, 0.02809, 0.02870, 0.02814, 0.02646, + 0.02403, 0.02104, 0.01817, 0.01563, 0.01399, 0.01338, 0.01394, 0.01563, 0.01805, 0.02089, 0.02462, 0.02798, 0.03065, 0.03236, 0.03295, 0.03236, 0.03065, 0.02798, 0.02462, 0.02089, 0.01716, 0.01380, 0.01113, 0.00942, 0.00883, 0.00942, 0.01113, 0.01380, 6.37474, 0.02053, 0.02498, 0.02914, 0.03270, 0.03544, 0.03716, 0.03775, 0.03716, 0.03544, 0.03270, 0.02914, 0.02498, + 0.02053, 0.01607, 0.01191, 0.00835, 0.00561, 0.00389, 0.00330, 0.00389, 0.00561, 0.00835, 0.01191, 0.01607, 0.01966, 0.02572, 0.03138, 0.03623, 0.03995, 0.04229, 0.04309, 0.04229, 0.03995, 0.03623, 0.03138, 0.02572, 0.01966, 0.01360, 0.00795, 0.00309, 0.00004, 0.00021, 0.00026, 0.00021, 0.00004, 0.00309, 0.00795, 0.01360, 0.01769, 0.02563, 0.03302, 0.03879, 0.03878, + 0.03878, 0.03878, 0.03878, 0.03878, 0.03879, 0.03302, 0.02563, 0.01769, 0.00976, 0.00237, 0.00028, 0.00061, 0.00083, 0.00090, 0.00083, 0.00061, 0.00028, 0.00237, 0.00976, 0.01359, 0.02757, 0.02977, 0.02977, 0.02977, 0.02977, 0.02977, 0.02817, 0.01359, 0.00003, 0.00089, 0.00144, 0.00165, 0.00146, 0.00089, 0.00007, 0.00469, 0.01027, 0.01027, 0.01027, 0.01027, 0.01027, + 0.00469, 0.00080, 0.00103, 0.00104, 0.00103, 0.00080, 0.01760, 0.01759, 0.01978, 0.02069, 0.01978, 0.01759, 0.01540, 0.01449, 0.01540, 0.01754, 0.01993, 0.02206, 0.02342, 0.02393, 0.02346, 0.02206, 0.02004, 0.01754, 0.01515, 0.01303, 0.01167, 0.01116, 0.01162, 0.01303, 0.01505, 0.01742, 0.02053, 0.02333, 0.02555, 0.02698, 0.02747, 0.02698, 0.02555, 0.02333, 0.02053, + 0.01742, 0.01431, 0.01151, 0.00928, 0.00785, 0.00736, 0.00785, 0.00928, 0.01151, 0.01431, 7.16168, 0.02083, 0.02429, 0.02727, 0.02955, 0.03098, 0.03147, 0.03098, 0.02955, 0.02727, 0.02429, 0.02083, 0.01711, 0.01340, 0.00993, 0.00696, 0.00468, 0.00324, 0.00275, 0.00324, 0.00468, 0.00696, 0.00993, 0.01340, 0.01639, 0.02145, 0.02616, 0.03020, 0.03331, 0.03526, 0.03593, + 0.03526, 0.03331, 0.03020, 0.02616, 0.02145, 0.01639, 0.01134, 0.00662, 0.00258, 0.00004, 0.00017, 0.00022, 0.00017, 0.00004, 0.00258, 0.00662, 0.01134, 0.01475, 0.02137, 0.02753, 0.03234, 0.03233, 0.03233, 0.03233, 0.03233, 0.03233, 0.03234, 0.02753, 0.02137, 0.01475, 0.00814, 0.00198, 0.00023, 0.00051, 0.00069, 0.00075, 0.00069, 0.00051, 0.00023, 0.00198, 0.00814, + 0.01133, 0.02298, 0.02482, 0.02482, 0.02482, 0.02482, 0.02482, 0.02349, 0.01133, 0.00002, 0.00074, 0.00120, 0.00137, 0.00122, 0.00074, 0.00006, 0.00391, 0.00856, 0.00856, 0.00856, 0.00856, 0.00856, 0.00391, 0.00067, 0.00085, 0.00087, 0.00085, 0.00067, 0.01378, 0.01377, 0.01549, 0.01620, 0.01549, 0.01377, 0.01205, 0.01134, 0.01205, 0.01373, 0.01561, 0.01727, 0.01833, + 0.01873, 0.01837, 0.01727, 0.01569, 0.01373, 0.01186, 0.01020, 0.00913, 0.00873, 0.00910, 0.01020, 0.01178, 0.01364, 0.01607, 0.01826, 0.02000, 0.02112, 0.02151, 0.02112, 0.02000, 0.01826, 0.01607, 0.01364, 0.01120, 0.00901, 0.00727, 0.00615, 0.00576, 0.00615, 0.00727, 0.00901, 0.01120, 0.01340, 7.16087, 0.01902, 0.02134, 0.02313, 0.02425, 0.02464, 0.02425, 0.02313, + 0.02134, 0.01902, 0.01631, 0.01340, 0.01049, 0.00778, 0.00545, 0.00366, 0.00254, 0.00216, 0.00254, 0.00366, 0.00545, 0.00778, 0.01049, 0.01283, 0.01679, 0.02048, 0.02364, 0.02607, 0.02760, 0.02812, 0.02760, 0.02607, 0.02364, 0.02048, 0.01679, 0.01283, 0.00887, 0.00519, 0.00202, 0.00003, 0.00013, 0.00017, 0.00013, 0.00003, 0.00202, 0.00519, 0.00887, 0.01155, 0.01673, + 0.02155, 0.02531, 0.02531, 0.02531, 0.02531, 0.02531, 0.02531, 0.02531, 0.02155, 0.01673, 0.01155, 0.00637, 0.00155, 0.00018, 0.00040, 0.00054, 0.00059, 0.00054, 0.00040, 0.00018, 0.00155, 0.00637, 0.00887, 0.01799, 0.01943, 0.01943, 0.01943, 0.01943, 0.01943, 0.01839, 0.00887, 0.00002, 0.00058, 0.00094, 0.00108, 0.00095, 0.00058, 0.00005, 0.00306, 0.00670, 0.00670, + 0.00670, 0.00670, 0.00670, 0.00306, 0.00053, 0.00067, 0.00068, 0.00067, 0.00053, 0.01022, 0.01021, 0.01148, 0.01201, 0.01148, 0.01021, 0.00894, 0.00841, 0.00894, 0.01018, 0.01157, 0.01280, 0.01359, 0.01389, 0.01362, 0.01280, 0.01163, 0.01018, 0.00879, 0.00756, 0.00677, 0.00648, 0.00675, 0.00756, 0.00873, 0.01011, 0.01191, 0.01354, 0.01483, 0.01566, 0.01595, 0.01566, + 0.01483, 0.01354, 0.01191, 0.01011, 0.00831, 0.00668, 0.00539, 0.00456, 0.00427, 0.00456, 0.00539, 0.00668, 0.00831, 0.00993, 0.01209, 7.15867, 0.01583, 0.01715, 0.01798, 0.01827, 0.01798, 0.01715, 0.01583, 0.01410, 0.01209, 0.00993, 0.00778, 0.00577, 0.00404, 0.00271, 0.00188, 0.00160, 0.00188, 0.00271, 0.00404, 0.00577, 0.00778, 0.00951, 0.01245, 0.01518, 0.01753, + 0.01933, 0.02047, 0.02085, 0.02047, 0.01933, 0.01753, 0.01518, 0.01245, 0.00951, 0.00658, 0.00384, 0.00150, 0.00002, 0.00010, 0.00013, 0.00010, 0.00002, 0.00150, 0.00384, 0.00658, 0.00856, 0.01240, 0.01598, 0.01877, 0.01877, 0.01877, 0.01877, 0.01877, 0.01877, 0.01877, 0.01598, 0.01240, 0.00856, 0.00472, 0.00115, 0.00013, 0.00030, 0.00040, 0.00043, 0.00040, 0.00030, + 0.00013, 0.00115, 0.00472, 0.00657, 0.01334, 0.01441, 0.01441, 0.01441, 0.01441, 0.01441, 0.01363, 0.00657, 0.00001, 0.00043, 0.00070, 0.00080, 0.00071, 0.00043, 0.00003, 0.00227, 0.00497, 0.00497, 0.00497, 0.00497, 0.00497, 0.00227, 0.00039, 0.00050, 0.00051, 0.00050, 0.00039, 0.00716, 0.00715, 0.00805, 0.00841, 0.00805, 0.00715, 0.00626, 0.00589, 0.00626, 0.00713, + 0.00811, 0.00897, 0.00952, 0.00973, 0.00954, 0.00897, 0.00815, 0.00713, 0.00616, 0.00530, 0.00474, 0.00454, 0.00473, 0.00530, 0.00612, 0.00708, 0.00835, 0.00949, 0.01039, 0.01097, 0.01117, 0.01097, 0.01039, 0.00949, 0.00835, 0.00708, 0.00582, 0.00468, 0.00377, 0.00319, 0.00299, 0.00319, 0.00377, 0.00468, 0.00582, 0.00696, 0.00847, 0.00988, 7.15566, 0.01202, 0.01260, + 0.01280, 0.01260, 0.01202, 0.01109, 0.00988, 0.00847, 0.00696, 0.00545, 0.00404, 0.00283, 0.00190, 0.00132, 0.00112, 0.00132, 0.00190, 0.00283, 0.00404, 0.00545, 0.00667, 0.00872, 0.01064, 0.01228, 0.01355, 0.01434, 0.01461, 0.01434, 0.01355, 0.01228, 0.01064, 0.00872, 0.00667, 0.00461, 0.00269, 0.00105, 0.00001, 0.00007, 0.00009, 0.00007, 0.00001, 0.00105, 0.00269, + 0.00461, 0.00600, 0.00869, 0.01119, 0.01315, 0.01315, 0.01315, 0.01315, 0.01315, 0.01315, 0.01315, 0.01119, 0.00869, 0.00600, 0.00331, 0.00080, 0.00009, 0.00021, 0.00028, 0.00030, 0.00028, 0.00021, 0.00009, 0.00080, 0.00331, 0.00461, 0.00935, 0.01009, 0.01009, 0.01009, 0.01009, 0.01009, 0.00955, 0.00461, 0.00001, 0.00030, 0.00049, 0.00056, 0.00049, 0.00030, 0.00002, + 0.00159, 0.00348, 0.00348, 0.00348, 0.00348, 0.00348, 0.00159, 0.00027, 0.00035, 0.00035, 0.00035, 0.00027, 0.00481, 0.00481, 0.00541, 0.00566, 0.00541, 0.00481, 0.00421, 0.00396, 0.00421, 0.00479, 0.00545, 0.00603, 0.00640, 0.00654, 0.00641, 0.00603, 0.00548, 0.00479, 0.00414, 0.00356, 0.00319, 0.00305, 0.00318, 0.00356, 0.00411, 0.00476, 0.00561, 0.00638, 0.00698, + 0.00737, 0.00751, 0.00737, 0.00698, 0.00638, 0.00561, 0.00476, 0.00391, 0.00315, 0.00254, 0.00215, 0.00201, 0.00215, 0.00254, 0.00315, 0.00391, 0.00468, 0.00569, 0.00664, 0.00745, 7.15265, 0.00847, 0.00860, 0.00847, 0.00808, 0.00745, 0.00664, 0.00569, 0.00468, 0.00366, 0.00271, 0.00190, 0.00128, 0.00089, 0.00075, 0.00089, 0.00128, 0.00190, 0.00271, 0.00366, 0.00448, + 0.00586, 0.00715, 0.00826, 0.00910, 0.00964, 0.00982, 0.00964, 0.00910, 0.00826, 0.00715, 0.00586, 0.00448, 0.00310, 0.00181, 0.00070, 0.00001, 0.00005, 0.00006, 0.00005, 0.00001, 0.00070, 0.00181, 0.00310, 0.00403, 0.00584, 0.00752, 0.00884, 0.00884, 0.00884, 0.00884, 0.00884, 0.00884, 0.00884, 0.00752, 0.00584, 0.00403, 0.00222, 0.00054, 0.00006, 0.00014, 0.00019, + 0.00020, 0.00019, 0.00014, 0.00006, 0.00054, 0.00222, 0.00310, 0.00628, 0.00678, 0.00678, 0.00678, 0.00678, 0.00678, 0.00642, 0.00310, 0.00001, 0.00020, 0.00033, 0.00038, 0.00033, 0.00020, 0.00002, 0.00107, 0.00234, 0.00234, 0.00234, 0.00234, 0.00234, 0.00107, 0.00018, 0.00023, 0.00024, 0.00023, 0.00018, 0.00334, 0.00333, 0.00375, 0.00392, 0.00375, 0.00333, 0.00292, + 0.00275, 0.00292, 0.00332, 0.00378, 0.00418, 0.00444, 0.00453, 0.00445, 0.00418, 0.00380, 0.00332, 0.00287, 0.00247, 0.00221, 0.00211, 0.00220, 0.00247, 0.00285, 0.00330, 0.00389, 0.00442, 0.00484, 0.00511, 0.00521, 0.00511, 0.00484, 0.00442, 0.00389, 0.00330, 0.00271, 0.00218, 0.00176, 0.00149, 0.00139, 0.00149, 0.00176, 0.00218, 0.00271, 0.00324, 0.00395, 0.00460, + 0.00517, 0.00560, 7.15044, 0.00596, 0.00587, 0.00560, 0.00517, 0.00460, 0.00395, 0.00324, 0.00254, 0.00188, 0.00132, 0.00089, 0.00061, 0.00052, 0.00061, 0.00089, 0.00132, 0.00188, 0.00254, 0.00311, 0.00406, 0.00496, 0.00572, 0.00631, 0.00668, 0.00681, 0.00668, 0.00631, 0.00572, 0.00496, 0.00406, 0.00311, 0.00215, 0.00126, 0.00049, 0.00001, 0.00003, 0.00004, 0.00003, + 0.00001, 0.00049, 0.00126, 0.00215, 0.00280, 0.00405, 0.00522, 0.00613, 0.00613, 0.00613, 0.00613, 0.00613, 0.00613, 0.00613, 0.00522, 0.00405, 0.00280, 0.00154, 0.00037, 0.00004, 0.00010, 0.00013, 0.00014, 0.00013, 0.00010, 0.00004, 0.00037, 0.00154, 0.00215, 0.00436, 0.00470, 0.00470, 0.00470, 0.00470, 0.00470, 0.00445, 0.00215, 0.00000, 0.00014, 0.00023, 0.00026, + 0.00023, 0.00014, 0.00001, 0.00074, 0.00162, 0.00162, 0.00162, 0.00162, 0.00162, 0.00074, 0.00013, 0.00016, 0.00016, 0.00016, 0.00013, 0.00283, 0.00283, 0.00318, 0.00333, 0.00318, 0.00283, 0.00248, 0.00233, 0.00248, 0.00282, 0.00321, 0.00355, 0.00377, 0.00385, 0.00378, 0.00355, 0.00322, 0.00282, 0.00244, 0.00210, 0.00188, 0.00180, 0.00187, 0.00210, 0.00242, 0.00280, + 0.00330, 0.00375, 0.00411, 0.00434, 0.00442, 0.00434, 0.00411, 0.00375, 0.00330, 0.00280, 0.00230, 0.00185, 0.00149, 0.00126, 0.00118, 0.00126, 0.00149, 0.00185, 0.00230, 0.00275, 0.00335, 0.00391, 0.00439, 0.00475, 0.00499, 7.14963, 0.00499, 0.00475, 0.00439, 0.00391, 0.00335, 0.00275, 0.00216, 0.00160, 0.00112, 0.00075, 0.00052, 0.00044, 0.00052, 0.00075, 0.00112, + 0.00160, 0.00216, 0.00264, 0.00345, 0.00421, 0.00486, 0.00536, 0.00567, 0.00578, 0.00567, 0.00536, 0.00486, 0.00421, 0.00345, 0.00264, 0.00182, 0.00107, 0.00041, 0.00001, 0.00003, 0.00004, 0.00003, 0.00001, 0.00041, 0.00107, 0.00182, 0.00237, 0.00344, 0.00443, 0.00520, 0.00520, 0.00520, 0.00520, 0.00520, 0.00520, 0.00520, 0.00443, 0.00344, 0.00237, 0.00131, 0.00032, + 0.00004, 0.00008, 0.00011, 0.00012, 0.00011, 0.00008, 0.00004, 0.00032, 0.00131, 0.00182, 0.00370, 0.00399, 0.00399, 0.00399, 0.00399, 0.00399, 0.00378, 0.00182, 0.00000, 0.00012, 0.00019, 0.00022, 0.00020, 0.00012, 0.00001, 0.00063, 0.00138, 0.00138, 0.00138, 0.00138, 0.00138, 0.00063, 0.00011, 0.00014, 0.00014, 0.00014, 0.00011, 0.00334, 0.00333, 0.00375, 0.00392, + 0.00375, 0.00333, 0.00292, 0.00275, 0.00292, 0.00332, 0.00378, 0.00418, 0.00444, 0.00453, 0.00445, 0.00418, 0.00380, 0.00332, 0.00287, 0.00247, 0.00221, 0.00211, 0.00220, 0.00247, 0.00285, 0.00330, 0.00389, 0.00442, 0.00484, 0.00511, 0.00521, 0.00511, 0.00484, 0.00442, 0.00389, 0.00330, 0.00271, 0.00218, 0.00176, 0.00149, 0.00139, 0.00149, 0.00176, 0.00218, 0.00271, + 0.00324, 0.00395, 0.00460, 0.00517, 0.00560, 0.00587, 0.00596, 7.15044, 0.00560, 0.00517, 0.00460, 0.00395, 0.00324, 0.00254, 0.00188, 0.00132, 0.00089, 0.00061, 0.00052, 0.00061, 0.00089, 0.00132, 0.00188, 0.00254, 0.00311, 0.00406, 0.00496, 0.00572, 0.00631, 0.00668, 0.00681, 0.00668, 0.00631, 0.00572, 0.00496, 0.00406, 0.00311, 0.00215, 0.00126, 0.00049, 0.00001, + 0.00003, 0.00004, 0.00003, 0.00001, 0.00049, 0.00126, 0.00215, 0.00280, 0.00405, 0.00522, 0.00613, 0.00613, 0.00613, 0.00613, 0.00613, 0.00613, 0.00613, 0.00522, 0.00405, 0.00280, 0.00154, 0.00037, 0.00004, 0.00010, 0.00013, 0.00014, 0.00013, 0.00010, 0.00004, 0.00037, 0.00154, 0.00215, 0.00436, 0.00470, 0.00470, 0.00470, 0.00470, 0.00470, 0.00445, 0.00215, 0.00000, + 0.00014, 0.00023, 0.00026, 0.00023, 0.00014, 0.00001, 0.00074, 0.00162, 0.00162, 0.00162, 0.00162, 0.00162, 0.00074, 0.00013, 0.00016, 0.00016, 0.00016, 0.00013, 0.00481, 0.00481, 0.00541, 0.00566, 0.00541, 0.00481, 0.00421, 0.00396, 0.00421, 0.00479, 0.00545, 0.00603, 0.00640, 0.00654, 0.00641, 0.00603, 0.00548, 0.00479, 0.00414, 0.00356, 0.00319, 0.00305, 0.00318, + 0.00356, 0.00411, 0.00476, 0.00561, 0.00638, 0.00698, 0.00737, 0.00751, 0.00737, 0.00698, 0.00638, 0.00561, 0.00476, 0.00391, 0.00315, 0.00254, 0.00215, 0.00201, 0.00215, 0.00254, 0.00315, 0.00391, 0.00468, 0.00569, 0.00664, 0.00745, 0.00808, 0.00847, 0.00860, 0.00847, 7.15265, 0.00745, 0.00664, 0.00569, 0.00468, 0.00366, 0.00271, 0.00190, 0.00128, 0.00089, 0.00075, + 0.00089, 0.00128, 0.00190, 0.00271, 0.00366, 0.00448, 0.00586, 0.00715, 0.00826, 0.00910, 0.00964, 0.00982, 0.00964, 0.00910, 0.00826, 0.00715, 0.00586, 0.00448, 0.00310, 0.00181, 0.00070, 0.00001, 0.00005, 0.00006, 0.00005, 0.00001, 0.00070, 0.00181, 0.00310, 0.00403, 0.00584, 0.00752, 0.00884, 0.00884, 0.00884, 0.00884, 0.00884, 0.00884, 0.00884, 0.00752, 0.00584, + 0.00403, 0.00222, 0.00054, 0.00006, 0.00014, 0.00019, 0.00020, 0.00019, 0.00014, 0.00006, 0.00054, 0.00222, 0.00310, 0.00628, 0.00678, 0.00678, 0.00678, 0.00678, 0.00678, 0.00642, 0.00310, 0.00001, 0.00020, 0.00033, 0.00038, 0.00033, 0.00020, 0.00002, 0.00107, 0.00234, 0.00234, 0.00234, 0.00234, 0.00234, 0.00107, 0.00018, 0.00023, 0.00024, 0.00023, 0.00018, 0.00716, + 0.00715, 0.00805, 0.00841, 0.00805, 0.00715, 0.00626, 0.00589, 0.00626, 0.00713, 0.00811, 0.00897, 0.00952, 0.00973, 0.00954, 0.00897, 0.00815, 0.00713, 0.00616, 0.00530, 0.00474, 0.00454, 0.00473, 0.00530, 0.00612, 0.00708, 0.00835, 0.00949, 0.01039, 0.01097, 0.01117, 0.01097, 0.01039, 0.00949, 0.00835, 0.00708, 0.00582, 0.00468, 0.00377, 0.00319, 0.00299, 0.00319, + 0.00377, 0.00468, 0.00582, 0.00696, 0.00847, 0.00988, 0.01109, 0.01202, 0.01260, 0.01280, 0.01260, 0.01202, 7.15566, 0.00988, 0.00847, 0.00696, 0.00545, 0.00404, 0.00283, 0.00190, 0.00132, 0.00112, 0.00132, 0.00190, 0.00283, 0.00404, 0.00545, 0.00667, 0.00872, 0.01064, 0.01228, 0.01355, 0.01434, 0.01461, 0.01434, 0.01355, 0.01228, 0.01064, 0.00872, 0.00667, 0.00461, + 0.00269, 0.00105, 0.00001, 0.00007, 0.00009, 0.00007, 0.00001, 0.00105, 0.00269, 0.00461, 0.00600, 0.00869, 0.01119, 0.01315, 0.01315, 0.01315, 0.01315, 0.01315, 0.01315, 0.01315, 0.01119, 0.00869, 0.00600, 0.00331, 0.00080, 0.00009, 0.00021, 0.00028, 0.00030, 0.00028, 0.00021, 0.00009, 0.00080, 0.00331, 0.00461, 0.00935, 0.01009, 0.01009, 0.01009, 0.01009, 0.01009, + 0.00955, 0.00461, 0.00001, 0.00030, 0.00049, 0.00056, 0.00049, 0.00030, 0.00002, 0.00159, 0.00348, 0.00348, 0.00348, 0.00348, 0.00348, 0.00159, 0.00027, 0.00035, 0.00035, 0.00035, 0.00027, 0.01022, 0.01021, 0.01148, 0.01201, 0.01148, 0.01021, 0.00894, 0.00841, 0.00894, 0.01018, 0.01157, 0.01280, 0.01359, 0.01389, 0.01362, 0.01280, 0.01163, 0.01018, 0.00879, 0.00756, + 0.00677, 0.00648, 0.00675, 0.00756, 0.00873, 0.01011, 0.01191, 0.01354, 0.01483, 0.01566, 0.01595, 0.01566, 0.01483, 0.01354, 0.01191, 0.01011, 0.00831, 0.00668, 0.00539, 0.00456, 0.00427, 0.00456, 0.00539, 0.00668, 0.00831, 0.00993, 0.01209, 0.01410, 0.01583, 0.01715, 0.01798, 0.01827, 0.01798, 0.01715, 0.01583, 7.15867, 0.01209, 0.00993, 0.00778, 0.00577, 0.00404, + 0.00271, 0.00188, 0.00160, 0.00188, 0.00271, 0.00404, 0.00577, 0.00778, 0.00951, 0.01245, 0.01518, 0.01753, 0.01933, 0.02047, 0.02085, 0.02047, 0.01933, 0.01753, 0.01518, 0.01245, 0.00951, 0.00658, 0.00384, 0.00150, 0.00002, 0.00010, 0.00013, 0.00010, 0.00002, 0.00150, 0.00384, 0.00658, 0.00856, 0.01240, 0.01598, 0.01877, 0.01877, 0.01877, 0.01877, 0.01877, 0.01877, + 0.01877, 0.01598, 0.01240, 0.00856, 0.00472, 0.00115, 0.00013, 0.00030, 0.00040, 0.00043, 0.00040, 0.00030, 0.00013, 0.00115, 0.00472, 0.00657, 0.01334, 0.01441, 0.01441, 0.01441, 0.01441, 0.01441, 0.01363, 0.00657, 0.00001, 0.00043, 0.00070, 0.00080, 0.00071, 0.00043, 0.00003, 0.00227, 0.00497, 0.00497, 0.00497, 0.00497, 0.00497, 0.00227, 0.00039, 0.00050, 0.00051, + 0.00050, 0.00039, 0.01378, 0.01377, 0.01549, 0.01620, 0.01549, 0.01377, 0.01205, 0.01134, 0.01205, 0.01373, 0.01561, 0.01727, 0.01833, 0.01873, 0.01837, 0.01727, 0.01569, 0.01373, 0.01186, 0.01020, 0.00913, 0.00873, 0.00910, 0.01020, 0.01178, 0.01364, 0.01607, 0.01826, 0.02000, 0.02112, 0.02151, 0.02112, 0.02000, 0.01826, 0.01607, 0.01364, 0.01120, 0.00901, 0.00727, + 0.00615, 0.00576, 0.00615, 0.00727, 0.00901, 0.01120, 0.01340, 0.01631, 0.01902, 0.02134, 0.02313, 0.02425, 0.02464, 0.02425, 0.02313, 0.02134, 0.01902, 7.16087, 0.01340, 0.01049, 0.00778, 0.00545, 0.00366, 0.00254, 0.00216, 0.00254, 0.00366, 0.00545, 0.00778, 0.01049, 0.01283, 0.01679, 0.02048, 0.02364, 0.02607, 0.02760, 0.02812, 0.02760, 0.02607, 0.02364, 0.02048, + 0.01679, 0.01283, 0.00887, 0.00519, 0.00202, 0.00003, 0.00013, 0.00017, 0.00013, 0.00003, 0.00202, 0.00519, 0.00887, 0.01155, 0.01673, 0.02155, 0.02531, 0.02531, 0.02531, 0.02531, 0.02531, 0.02531, 0.02531, 0.02155, 0.01673, 0.01155, 0.00637, 0.00155, 0.00018, 0.00040, 0.00054, 0.00059, 0.00054, 0.00040, 0.00018, 0.00155, 0.00637, 0.00887, 0.01799, 0.01943, 0.01943, + 0.01943, 0.01943, 0.01943, 0.01839, 0.00887, 0.00002, 0.00058, 0.00094, 0.00108, 0.00095, 0.00058, 0.00005, 0.00306, 0.00670, 0.00670, 0.00670, 0.00670, 0.00670, 0.00306, 0.00053, 0.00067, 0.00068, 0.00067, 0.00053, 0.01760, 0.01759, 0.01978, 0.02069, 0.01978, 0.01759, 0.01540, 0.01449, 0.01540, 0.01754, 0.01993, 0.02206, 0.02342, 0.02393, 0.02346, 0.02206, 0.02004, + 0.01754, 0.01515, 0.01303, 0.01167, 0.01116, 0.01162, 0.01303, 0.01505, 0.01742, 0.02053, 0.02333, 0.02555, 0.02698, 0.02747, 0.02698, 0.02555, 0.02333, 0.02053, 0.01742, 0.01431, 0.01151, 0.00928, 0.00785, 0.00736, 0.00785, 0.00928, 0.01151, 0.01431, 0.01711, 0.02083, 0.02429, 0.02727, 0.02955, 0.03098, 0.03147, 0.03098, 0.02955, 0.02727, 0.02429, 0.02083, 7.16168, + 0.01340, 0.00993, 0.00696, 0.00468, 0.00324, 0.00275, 0.00324, 0.00468, 0.00696, 0.00993, 0.01340, 0.01639, 0.02145, 0.02616, 0.03020, 0.03331, 0.03526, 0.03593, 0.03526, 0.03331, 0.03020, 0.02616, 0.02145, 0.01639, 0.01134, 0.00662, 0.00258, 0.00004, 0.00017, 0.00022, 0.00017, 0.00004, 0.00258, 0.00662, 0.01134, 0.01475, 0.02137, 0.02753, 0.03234, 0.03233, 0.03233, + 0.03233, 0.03233, 0.03233, 0.03234, 0.02753, 0.02137, 0.01475, 0.00814, 0.00198, 0.00023, 0.00051, 0.00069, 0.00075, 0.00069, 0.00051, 0.00023, 0.00198, 0.00814, 0.01133, 0.02298, 0.02482, 0.02482, 0.02482, 0.02482, 0.02482, 0.02349, 0.01133, 0.00002, 0.00074, 0.00120, 0.00137, 0.00122, 0.00074, 0.00006, 0.00391, 0.00856, 0.00856, 0.00856, 0.00856, 0.00856, 0.00391, + 0.00067, 0.00085, 0.00087, 0.00085, 0.00067, 0.02142, 0.02141, 0.02408, 0.02519, 0.02408, 0.02141, 0.01874, 0.01764, 0.01874, 0.02135, 0.02426, 0.02685, 0.02851, 0.02912, 0.02856, 0.02685, 0.02439, 0.02135, 0.01844, 0.01586, 0.01420, 0.01358, 0.01415, 0.01586, 0.01832, 0.02120, 0.02498, 0.02840, 0.03110, 0.03284, 0.03344, 0.03284, 0.03110, 0.02840, 0.02498, 0.02120, + 0.01742, 0.01401, 0.01130, 0.00956, 0.00896, 0.00956, 0.01130, 0.01401, 0.01742, 0.02083, 0.02535, 0.02957, 0.03319, 0.03596, 0.03771, 0.03831, 0.03771, 0.03596, 0.03319, 0.02957, 0.02535, 0.02083, 7.16087, 0.01209, 0.00847, 0.00569, 0.00395, 0.00335, 0.00395, 0.00569, 0.00847, 0.01209, 0.01631, 0.01995, 0.02610, 0.03184, 0.03676, 0.04054, 0.04292, 0.04373, 0.04292, + 0.04054, 0.03676, 0.03184, 0.02610, 0.01995, 0.01380, 0.00806, 0.00314, 0.00004, 0.00021, 0.00027, 0.00021, 0.00004, 0.00314, 0.00806, 0.01380, 0.01796, 0.02601, 0.03351, 0.03936, 0.03936, 0.03935, 0.03935, 0.03935, 0.03936, 0.03936, 0.03351, 0.02601, 0.01796, 0.00991, 0.00241, 0.00028, 0.00062, 0.00084, 0.00091, 0.00084, 0.00062, 0.00028, 0.00241, 0.00991, 0.01379, + 0.02798, 0.03021, 0.03021, 0.03021, 0.03021, 0.03021, 0.02859, 0.01379, 0.00003, 0.00090, 0.00146, 0.00167, 0.00148, 0.00090, 0.00007, 0.00476, 0.01042, 0.01042, 0.01042, 0.01042, 0.01042, 0.00476, 0.00082, 0.00104, 0.00106, 0.00104, 0.00082, 0.02499, 0.02497, 0.02808, 0.02937, 0.02808, 0.02497, 0.02186, 0.02057, 0.02186, 0.02490, 0.02830, 0.03131, 0.03325, 0.03397, + 0.03331, 0.03131, 0.02844, 0.02490, 0.02151, 0.01849, 0.01656, 0.01584, 0.01650, 0.01849, 0.02136, 0.02473, 0.02914, 0.03312, 0.03627, 0.03830, 0.03900, 0.03830, 0.03627, 0.03312, 0.02914, 0.02473, 0.02031, 0.01633, 0.01318, 0.01115, 0.01045, 0.01115, 0.01318, 0.01633, 0.02031, 0.02429, 0.02957, 0.03448, 0.03870, 0.04194, 0.04398, 0.04468, 0.04398, 0.04194, 0.03870, + 0.03448, 0.02957, 0.02429, 0.01902, 7.15867, 0.00988, 0.00664, 0.00460, 0.00391, 0.00460, 0.00664, 0.00988, 0.01410, 0.01902, 0.02327, 0.03045, 0.03713, 0.04288, 0.04728, 0.05005, 0.05100, 0.05005, 0.04728, 0.04288, 0.03713, 0.03045, 0.02327, 0.01609, 0.00940, 0.00366, 0.00005, 0.00024, 0.00031, 0.00024, 0.00005, 0.00366, 0.00940, 0.01609, 0.02094, 0.03033, 0.03908, + 0.04590, 0.04590, 0.04589, 0.04589, 0.04589, 0.04590, 0.04590, 0.03908, 0.03033, 0.02094, 0.01155, 0.00281, 0.00033, 0.00073, 0.00098, 0.00106, 0.00098, 0.00073, 0.00033, 0.00281, 0.01155, 0.01608, 0.03263, 0.03524, 0.03523, 0.03523, 0.03523, 0.03524, 0.03334, 0.01608, 0.00003, 0.00105, 0.00171, 0.00195, 0.00173, 0.00105, 0.00008, 0.00555, 0.01215, 0.01216, 0.01216, + 0.01216, 0.01215, 0.00555, 0.00095, 0.00121, 0.00124, 0.00121, 0.00095, 0.02805, 0.02803, 0.03152, 0.03297, 0.03152, 0.02803, 0.02453, 0.02309, 0.02453, 0.02795, 0.03176, 0.03515, 0.03732, 0.03813, 0.03738, 0.03515, 0.03193, 0.02795, 0.02414, 0.02076, 0.01859, 0.01778, 0.01852, 0.02076, 0.02398, 0.02775, 0.03270, 0.03717, 0.04072, 0.04299, 0.04378, 0.04299, 0.04072, + 0.03717, 0.03270, 0.02775, 0.02280, 0.01833, 0.01479, 0.01251, 0.01173, 0.01251, 0.01479, 0.01833, 0.02280, 0.02727, 0.03319, 0.03870, 0.04344, 0.04708, 0.04936, 0.05014, 0.04936, 0.04708, 0.04344, 0.03870, 0.03319, 0.02727, 0.02134, 0.01583, 7.15566, 0.00745, 0.00517, 0.00439, 0.00517, 0.00745, 0.01109, 0.01583, 0.02134, 0.02612, 0.03417, 0.04168, 0.04813, 0.05307, + 0.05618, 0.05724, 0.05618, 0.05307, 0.04813, 0.04168, 0.03417, 0.02612, 0.01806, 0.01055, 0.00411, 0.00006, 0.00027, 0.00035, 0.00027, 0.00006, 0.00411, 0.01055, 0.01806, 0.02351, 0.03404, 0.04386, 0.05152, 0.05152, 0.05151, 0.05151, 0.05151, 0.05152, 0.05152, 0.04386, 0.03404, 0.02351, 0.01297, 0.00315, 0.00037, 0.00082, 0.00110, 0.00119, 0.00110, 0.00082, 0.00037, + 0.00315, 0.01297, 0.01805, 0.03662, 0.03955, 0.03955, 0.03955, 0.03955, 0.03955, 0.03742, 0.01805, 0.00004, 0.00118, 0.00191, 0.00219, 0.00194, 0.00118, 0.00009, 0.00622, 0.01364, 0.01364, 0.01364, 0.01364, 0.01364, 0.00622, 0.00107, 0.00136, 0.00139, 0.00136, 0.00107, 0.03039, 0.03037, 0.03416, 0.03573, 0.03416, 0.03037, 0.02659, 0.02502, 0.02659, 0.03029, 0.03442, + 0.03809, 0.04044, 0.04132, 0.04051, 0.03809, 0.03460, 0.03029, 0.02616, 0.02250, 0.02014, 0.01927, 0.02007, 0.02250, 0.02598, 0.03008, 0.03544, 0.04028, 0.04412, 0.04659, 0.04744, 0.04659, 0.04412, 0.04028, 0.03544, 0.03008, 0.02471, 0.01987, 0.01603, 0.01356, 0.01271, 0.01356, 0.01603, 0.01987, 0.02471, 0.02955, 0.03596, 0.04194, 0.04708, 0.05102, 0.05350, 0.05434, + 0.05350, 0.05102, 0.04708, 0.04194, 0.03596, 0.02955, 0.02313, 0.01715, 0.01202, 7.15265, 0.00560, 0.00475, 0.00560, 0.00808, 0.01202, 0.01715, 0.02313, 0.02830, 0.03703, 0.04517, 0.05215, 0.05751, 0.06088, 0.06203, 0.06088, 0.05751, 0.05215, 0.04517, 0.03703, 0.02830, 0.01957, 0.01144, 0.00445, 0.00006, 0.00030, 0.00038, 0.00030, 0.00006, 0.00445, 0.01144, 0.01957, + 0.02547, 0.03689, 0.04753, 0.05584, 0.05583, 0.05582, 0.05582, 0.05582, 0.05583, 0.05584, 0.04753, 0.03689, 0.02547, 0.01405, 0.00341, 0.00040, 0.00088, 0.00119, 0.00129, 0.00119, 0.00088, 0.00040, 0.00341, 0.01405, 0.01956, 0.03969, 0.04286, 0.04286, 0.04286, 0.04286, 0.04286, 0.04055, 0.01956, 0.00004, 0.00128, 0.00208, 0.00237, 0.00210, 0.00128, 0.00010, 0.00675, + 0.01478, 0.01479, 0.01479, 0.01479, 0.01478, 0.00675, 0.00116, 0.00148, 0.00150, 0.00148, 0.00116, 0.03187, 0.03185, 0.03582, 0.03746, 0.03582, 0.03185, 0.02788, 0.02623, 0.02788, 0.03176, 0.03609, 0.03994, 0.04240, 0.04332, 0.04248, 0.03994, 0.03628, 0.03176, 0.02743, 0.02359, 0.02112, 0.02020, 0.02104, 0.02359, 0.02724, 0.03154, 0.03716, 0.04224, 0.04626, 0.04885, + 0.04974, 0.04885, 0.04626, 0.04224, 0.03716, 0.03154, 0.02591, 0.02083, 0.01681, 0.01422, 0.01333, 0.01422, 0.01681, 0.02083, 0.02591, 0.03098, 0.03771, 0.04398, 0.04936, 0.05350, 0.05609, 0.05698, 0.05609, 0.05350, 0.04936, 0.04398, 0.03771, 0.03098, 0.02425, 0.01798, 0.01260, 0.00847, 7.15044, 0.00499, 0.00587, 0.00847, 0.01260, 0.01798, 0.02425, 0.02968, 0.03883, + 0.04736, 0.05468, 0.06031, 0.06384, 0.06504, 0.06384, 0.06031, 0.05468, 0.04736, 0.03883, 0.02968, 0.02052, 0.01199, 0.00467, 0.00007, 0.00031, 0.00039, 0.00031, 0.00007, 0.00467, 0.01199, 0.02052, 0.02671, 0.03868, 0.04984, 0.05855, 0.05854, 0.05853, 0.05853, 0.05853, 0.05854, 0.05855, 0.04984, 0.03868, 0.02671, 0.01474, 0.00358, 0.00042, 0.00093, 0.00125, 0.00136, + 0.00125, 0.00093, 0.00042, 0.00358, 0.01474, 0.02051, 0.04161, 0.04494, 0.04494, 0.04494, 0.04494, 0.04494, 0.04252, 0.02051, 0.00004, 0.00134, 0.00218, 0.00249, 0.00220, 0.00134, 0.00010, 0.00707, 0.01550, 0.01550, 0.01550, 0.01550, 0.01550, 0.00707, 0.00121, 0.00155, 0.00158, 0.00155, 0.00121, 0.03237, 0.03235, 0.03638, 0.03805, 0.03638, 0.03235, 0.02832, 0.02665, + 0.02832, 0.03226, 0.03666, 0.04057, 0.04307, 0.04401, 0.04315, 0.04057, 0.03685, 0.03226, 0.02786, 0.02396, 0.02145, 0.02052, 0.02138, 0.02396, 0.02767, 0.03203, 0.03775, 0.04290, 0.04700, 0.04962, 0.05053, 0.04962, 0.04700, 0.04290, 0.03775, 0.03203, 0.02632, 0.02116, 0.01707, 0.01444, 0.01354, 0.01444, 0.01707, 0.02116, 0.02632, 0.03147, 0.03831, 0.04468, 0.05014, + 0.05434, 0.05698, 0.05788, 0.05698, 0.05434, 0.05014, 0.04468, 0.03831, 0.03147, 0.02464, 0.01827, 0.01280, 0.00860, 0.00596, 7.14963, 0.00596, 0.00860, 0.01280, 0.01827, 0.02464, 0.03015, 0.03944, 0.04811, 0.05555, 0.06126, 0.06485, 0.06607, 0.06485, 0.06126, 0.05555, 0.04811, 0.03944, 0.03015, 0.02085, 0.01218, 0.00474, 0.00007, 0.00032, 0.00040, 0.00032, 0.00007, + 0.00474, 0.01218, 0.02085, 0.02713, 0.03929, 0.05063, 0.05947, 0.05946, 0.05946, 0.05946, 0.05946, 0.05946, 0.05947, 0.05063, 0.03929, 0.02713, 0.01497, 0.00363, 0.00042, 0.00094, 0.00127, 0.00138, 0.00127, 0.00094, 0.00042, 0.00363, 0.01497, 0.02083, 0.04227, 0.04565, 0.04565, 0.04565, 0.04565, 0.04565, 0.04319, 0.02083, 0.00004, 0.00136, 0.00221, 0.00253, 0.00224, + 0.00136, 0.00011, 0.00718, 0.01575, 0.01575, 0.01575, 0.01575, 0.01575, 0.00718, 0.00123, 0.00157, 0.00160, 0.00157, 0.00123, 0.03187, 0.03185, 0.03582, 0.03746, 0.03582, 0.03185, 0.02788, 0.02623, 0.02788, 0.03176, 0.03609, 0.03994, 0.04240, 0.04332, 0.04248, 0.03994, 0.03628, 0.03176, 0.02743, 0.02359, 0.02112, 0.02020, 0.02104, 0.02359, 0.02724, 0.03154, 0.03716, + 0.04224, 0.04626, 0.04885, 0.04974, 0.04885, 0.04626, 0.04224, 0.03716, 0.03154, 0.02591, 0.02083, 0.01681, 0.01422, 0.01333, 0.01422, 0.01681, 0.02083, 0.02591, 0.03098, 0.03771, 0.04398, 0.04936, 0.05350, 0.05609, 0.05698, 0.05609, 0.05350, 0.04936, 0.04398, 0.03771, 0.03098, 0.02425, 0.01798, 0.01260, 0.00847, 0.00587, 0.00499, 7.15044, 0.00847, 0.01260, 0.01798, + 0.02425, 0.02968, 0.03883, 0.04736, 0.05468, 0.06031, 0.06384, 0.06504, 0.06384, 0.06031, 0.05468, 0.04736, 0.03883, 0.02968, 0.02052, 0.01199, 0.00467, 0.00007, 0.00031, 0.00039, 0.00031, 0.00007, 0.00467, 0.01199, 0.02052, 0.02671, 0.03868, 0.04984, 0.05855, 0.05854, 0.05853, 0.05853, 0.05853, 0.05854, 0.05855, 0.04984, 0.03868, 0.02671, 0.01474, 0.00358, 0.00042, + 0.00093, 0.00125, 0.00136, 0.00125, 0.00093, 0.00042, 0.00358, 0.01474, 0.02051, 0.04161, 0.04494, 0.04494, 0.04494, 0.04494, 0.04494, 0.04252, 0.02051, 0.00004, 0.00134, 0.00218, 0.00249, 0.00220, 0.00134, 0.00010, 0.00707, 0.01550, 0.01550, 0.01550, 0.01550, 0.01550, 0.00707, 0.00121, 0.00155, 0.00158, 0.00155, 0.00121, 0.03039, 0.03037, 0.03416, 0.03573, 0.03416, + 0.03037, 0.02659, 0.02502, 0.02659, 0.03029, 0.03442, 0.03809, 0.04044, 0.04132, 0.04051, 0.03809, 0.03460, 0.03029, 0.02616, 0.02250, 0.02014, 0.01927, 0.02007, 0.02250, 0.02598, 0.03008, 0.03544, 0.04028, 0.04412, 0.04659, 0.04744, 0.04659, 0.04412, 0.04028, 0.03544, 0.03008, 0.02471, 0.01987, 0.01603, 0.01356, 0.01271, 0.01356, 0.01603, 0.01987, 0.02471, 0.02955, + 0.03596, 0.04194, 0.04708, 0.05102, 0.05350, 0.05434, 0.05350, 0.05102, 0.04708, 0.04194, 0.03596, 0.02955, 0.02313, 0.01715, 0.01202, 0.00808, 0.00560, 0.00475, 0.00560, 7.15265, 0.01202, 0.01715, 0.02313, 0.02830, 0.03703, 0.04517, 0.05215, 0.05751, 0.06088, 0.06203, 0.06088, 0.05751, 0.05215, 0.04517, 0.03703, 0.02830, 0.01957, 0.01144, 0.00445, 0.00006, 0.00030, + 0.00038, 0.00030, 0.00006, 0.00445, 0.01144, 0.01957, 0.02547, 0.03689, 0.04753, 0.05584, 0.05583, 0.05582, 0.05582, 0.05582, 0.05583, 0.05584, 0.04753, 0.03689, 0.02547, 0.01405, 0.00341, 0.00040, 0.00088, 0.00119, 0.00129, 0.00119, 0.00088, 0.00040, 0.00341, 0.01405, 0.01956, 0.03969, 0.04286, 0.04286, 0.04286, 0.04286, 0.04286, 0.04055, 0.01956, 0.00004, 0.00128, + 0.00208, 0.00237, 0.00210, 0.00128, 0.00010, 0.00675, 0.01478, 0.01479, 0.01479, 0.01479, 0.01478, 0.00675, 0.00116, 0.00148, 0.00150, 0.00148, 0.00116, 0.02805, 0.02803, 0.03152, 0.03297, 0.03152, 0.02803, 0.02453, 0.02309, 0.02453, 0.02795, 0.03176, 0.03515, 0.03732, 0.03813, 0.03738, 0.03515, 0.03193, 0.02795, 0.02414, 0.02076, 0.01859, 0.01778, 0.01852, 0.02076, + 0.02398, 0.02775, 0.03270, 0.03717, 0.04072, 0.04299, 0.04378, 0.04299, 0.04072, 0.03717, 0.03270, 0.02775, 0.02280, 0.01833, 0.01479, 0.01251, 0.01173, 0.01251, 0.01479, 0.01833, 0.02280, 0.02727, 0.03319, 0.03870, 0.04344, 0.04708, 0.04936, 0.05014, 0.04936, 0.04708, 0.04344, 0.03870, 0.03319, 0.02727, 0.02134, 0.01583, 0.01109, 0.00745, 0.00517, 0.00439, 0.00517, + 0.00745, 7.15566, 0.01583, 0.02134, 0.02612, 0.03417, 0.04168, 0.04813, 0.05307, 0.05618, 0.05724, 0.05618, 0.05307, 0.04813, 0.04168, 0.03417, 0.02612, 0.01806, 0.01055, 0.00411, 0.00006, 0.00027, 0.00035, 0.00027, 0.00006, 0.00411, 0.01055, 0.01806, 0.02351, 0.03404, 0.04386, 0.05152, 0.05152, 0.05151, 0.05151, 0.05151, 0.05152, 0.05152, 0.04386, 0.03404, 0.02351, + 0.01297, 0.00315, 0.00037, 0.00082, 0.00110, 0.00119, 0.00110, 0.00082, 0.00037, 0.00315, 0.01297, 0.01805, 0.03662, 0.03955, 0.03955, 0.03955, 0.03955, 0.03955, 0.03742, 0.01805, 0.00004, 0.00118, 0.00191, 0.00219, 0.00194, 0.00118, 0.00009, 0.00622, 0.01364, 0.01364, 0.01364, 0.01364, 0.01364, 0.00622, 0.00107, 0.00136, 0.00139, 0.00136, 0.00107, 0.02499, 0.02497, + 0.02808, 0.02937, 0.02808, 0.02497, 0.02186, 0.02057, 0.02186, 0.02490, 0.02830, 0.03131, 0.03325, 0.03397, 0.03331, 0.03131, 0.02844, 0.02490, 0.02151, 0.01849, 0.01656, 0.01584, 0.01650, 0.01849, 0.02136, 0.02473, 0.02914, 0.03312, 0.03627, 0.03830, 0.03900, 0.03830, 0.03627, 0.03312, 0.02914, 0.02473, 0.02031, 0.01633, 0.01318, 0.01115, 0.01045, 0.01115, 0.01318, + 0.01633, 0.02031, 0.02429, 0.02957, 0.03448, 0.03870, 0.04194, 0.04398, 0.04468, 0.04398, 0.04194, 0.03870, 0.03448, 0.02957, 0.02429, 0.01902, 0.01410, 0.00988, 0.00664, 0.00460, 0.00391, 0.00460, 0.00664, 0.00988, 7.15867, 0.01902, 0.02327, 0.03045, 0.03713, 0.04288, 0.04728, 0.05005, 0.05100, 0.05005, 0.04728, 0.04288, 0.03713, 0.03045, 0.02327, 0.01609, 0.00940, + 0.00366, 0.00005, 0.00024, 0.00031, 0.00024, 0.00005, 0.00366, 0.00940, 0.01609, 0.02094, 0.03033, 0.03908, 0.04590, 0.04590, 0.04589, 0.04589, 0.04589, 0.04590, 0.04590, 0.03908, 0.03033, 0.02094, 0.01155, 0.00281, 0.00033, 0.00073, 0.00098, 0.00106, 0.00098, 0.00073, 0.00033, 0.00281, 0.01155, 0.01608, 0.03263, 0.03524, 0.03523, 0.03523, 0.03523, 0.03524, 0.03334, + 0.01608, 0.00003, 0.00105, 0.00171, 0.00195, 0.00173, 0.00105, 0.00008, 0.00555, 0.01215, 0.01216, 0.01216, 0.01216, 0.01215, 0.00555, 0.00095, 0.00121, 0.00124, 0.00121, 0.00095, 0.02142, 0.02141, 0.02408, 0.02519, 0.02408, 0.02141, 0.01874, 0.01764, 0.01874, 0.02135, 0.02426, 0.02685, 0.02851, 0.02912, 0.02856, 0.02685, 0.02439, 0.02135, 0.01844, 0.01586, 0.01420, + 0.01358, 0.01415, 0.01586, 0.01832, 0.02120, 0.02498, 0.02840, 0.03110, 0.03284, 0.03344, 0.03284, 0.03110, 0.02840, 0.02498, 0.02120, 0.01742, 0.01401, 0.01130, 0.00956, 0.00896, 0.00956, 0.01130, 0.01401, 0.01742, 0.02083, 0.02535, 0.02957, 0.03319, 0.03596, 0.03771, 0.03831, 0.03771, 0.03596, 0.03319, 0.02957, 0.02535, 0.02083, 0.01631, 0.01209, 0.00847, 0.00569, + 0.00395, 0.00335, 0.00395, 0.00569, 0.00847, 0.01209, 7.16087, 0.01995, 0.02610, 0.03184, 0.03676, 0.04054, 0.04292, 0.04373, 0.04292, 0.04054, 0.03676, 0.03184, 0.02610, 0.01995, 0.01380, 0.00806, 0.00314, 0.00004, 0.00021, 0.00027, 0.00021, 0.00004, 0.00314, 0.00806, 0.01380, 0.01796, 0.02601, 0.03351, 0.03936, 0.03936, 0.03935, 0.03935, 0.03935, 0.03936, 0.03936, + 0.03351, 0.02601, 0.01796, 0.00991, 0.00241, 0.00028, 0.00062, 0.00084, 0.00091, 0.00084, 0.00062, 0.00028, 0.00241, 0.00991, 0.01379, 0.02798, 0.03021, 0.03021, 0.03021, 0.03021, 0.03021, 0.02859, 0.01379, 0.00003, 0.00090, 0.00146, 0.00167, 0.00148, 0.00090, 0.00007, 0.00476, 0.01042, 0.01042, 0.01042, 0.01042, 0.01042, 0.00476, 0.00082, 0.00104, 0.00106, 0.00104, + 0.00082, 0.01686, 0.01685, 0.01895, 0.01982, 0.01895, 0.01685, 0.01475, 0.01388, 0.01475, 0.01680, 0.01909, 0.02113, 0.02243, 0.02292, 0.02247, 0.02113, 0.01919, 0.01680, 0.01451, 0.01248, 0.01117, 0.01069, 0.01113, 0.01248, 0.01441, 0.01668, 0.01966, 0.02235, 0.02448, 0.02584, 0.02632, 0.02584, 0.02448, 0.02235, 0.01966, 0.01668, 0.01371, 0.01102, 0.00889, 0.00752, + 0.00705, 0.00752, 0.00889, 0.01102, 0.01371, 0.01639, 0.01995, 0.02327, 0.02612, 0.02830, 0.02968, 0.03015, 0.02968, 0.02830, 0.02612, 0.02327, 0.01995, 0.01639, 0.01283, 0.00951, 0.00667, 0.00448, 0.00311, 0.00264, 0.00311, 0.00448, 0.00667, 0.00951, 0.01283, 8.38313, 0.02054, 0.02506, 0.02893, 0.03191, 0.03377, 0.03441, 0.03377, 0.03191, 0.02893, 0.02506, 0.02054, + 0.01570, 0.01086, 0.00635, 0.00247, 0.00003, 0.00016, 0.00021, 0.00016, 0.00003, 0.00247, 0.00635, 0.01086, 0.01413, 0.02047, 0.02637, 0.03098, 0.03097, 0.03097, 0.03097, 0.03097, 0.03097, 0.03098, 0.02637, 0.02047, 0.01413, 0.00780, 0.00189, 0.00022, 0.00049, 0.00066, 0.00072, 0.00066, 0.00049, 0.00022, 0.00189, 0.00780, 0.01085, 0.02202, 0.02378, 0.02378, 0.02378, + 0.02378, 0.02378, 0.02250, 0.01085, 0.00002, 0.00071, 0.00115, 0.00132, 0.00116, 0.00071, 0.00006, 0.00374, 0.00820, 0.00820, 0.00820, 0.00820, 0.00820, 0.00374, 0.00064, 0.00082, 0.00083, 0.00082, 0.00064, 0.01166, 0.01165, 0.01310, 0.01371, 0.01310, 0.01165, 0.01020, 0.00960, 0.01020, 0.01162, 0.01320, 0.01461, 0.01551, 0.01585, 0.01554, 0.01461, 0.01327, 0.01162, + 0.01004, 0.00863, 0.00773, 0.00739, 0.00770, 0.00863, 0.00997, 0.01154, 0.01360, 0.01545, 0.01693, 0.01787, 0.01820, 0.01787, 0.01693, 0.01545, 0.01360, 0.01154, 0.00948, 0.00762, 0.00615, 0.00520, 0.00488, 0.00520, 0.00615, 0.00762, 0.00948, 0.01134, 0.01380, 0.01609, 0.01806, 0.01957, 0.02052, 0.02085, 0.02052, 0.01957, 0.01806, 0.01609, 0.01380, 0.01134, 0.00887, + 0.00658, 0.00461, 0.00310, 0.00215, 0.00182, 0.00215, 0.00310, 0.00461, 0.00658, 0.00887, 0.01086, 8.38164, 0.01733, 0.02001, 0.02206, 0.02336, 0.02380, 0.02336, 0.02206, 0.02001, 0.01733, 0.01421, 0.01086, 0.00751, 0.00439, 0.00171, 0.00002, 0.00011, 0.00014, 0.00011, 0.00002, 0.00171, 0.00439, 0.00751, 0.00977, 0.01415, 0.01824, 0.02142, 0.02142, 0.02142, 0.02142, + 0.02142, 0.02142, 0.02142, 0.01824, 0.01415, 0.00977, 0.00539, 0.00131, 0.00015, 0.00034, 0.00046, 0.00050, 0.00046, 0.00034, 0.00015, 0.00131, 0.00539, 0.00750, 0.01523, 0.01644, 0.01644, 0.01644, 0.01644, 0.01644, 0.01556, 0.00750, 0.00002, 0.00049, 0.00080, 0.00091, 0.00081, 0.00049, 0.00004, 0.00259, 0.00567, 0.00567, 0.00567, 0.00567, 0.00567, 0.00259, 0.00044, + 0.00057, 0.00058, 0.00057, 0.00044, 0.00681, 0.00681, 0.00766, 0.00801, 0.00766, 0.00681, 0.00596, 0.00561, 0.00596, 0.00679, 0.00772, 0.00854, 0.00907, 0.00926, 0.00908, 0.00854, 0.00776, 0.00679, 0.00586, 0.00504, 0.00452, 0.00432, 0.00450, 0.00504, 0.00582, 0.00674, 0.00795, 0.00903, 0.00989, 0.01044, 0.01064, 0.01044, 0.00989, 0.00903, 0.00795, 0.00674, 0.00554, + 0.00445, 0.00359, 0.00304, 0.00285, 0.00304, 0.00359, 0.00445, 0.00554, 0.00662, 0.00806, 0.00940, 0.01055, 0.01144, 0.01199, 0.01218, 0.01199, 0.01144, 0.01055, 0.00940, 0.00806, 0.00662, 0.00519, 0.00384, 0.00269, 0.00181, 0.00126, 0.00107, 0.00126, 0.00181, 0.00269, 0.00384, 0.00519, 0.00635, 0.00830, 8.37756, 0.01169, 0.01289, 0.01365, 0.01391, 0.01365, 0.01289, + 0.01169, 0.01013, 0.00830, 0.00635, 0.00439, 0.00256, 0.00100, 0.00001, 0.00007, 0.00008, 0.00007, 0.00001, 0.00100, 0.00256, 0.00439, 0.00571, 0.00827, 0.01066, 0.01252, 0.01252, 0.01252, 0.01251, 0.01252, 0.01252, 0.01252, 0.01066, 0.00827, 0.00571, 0.00315, 0.00077, 0.00009, 0.00020, 0.00027, 0.00029, 0.00027, 0.00020, 0.00009, 0.00077, 0.00315, 0.00438, 0.00890, + 0.00961, 0.00961, 0.00961, 0.00961, 0.00961, 0.00909, 0.00438, 0.00001, 0.00029, 0.00047, 0.00053, 0.00047, 0.00029, 0.00002, 0.00151, 0.00331, 0.00332, 0.00332, 0.00332, 0.00331, 0.00151, 0.00026, 0.00033, 0.00034, 0.00033, 0.00026, 0.00265, 0.00265, 0.00298, 0.00312, 0.00298, 0.00265, 0.00232, 0.00218, 0.00232, 0.00264, 0.00300, 0.00332, 0.00353, 0.00361, 0.00354, + 0.00332, 0.00302, 0.00264, 0.00228, 0.00196, 0.00176, 0.00168, 0.00175, 0.00196, 0.00227, 0.00262, 0.00309, 0.00352, 0.00385, 0.00407, 0.00414, 0.00407, 0.00385, 0.00352, 0.00309, 0.00262, 0.00216, 0.00173, 0.00140, 0.00118, 0.00111, 0.00118, 0.00140, 0.00173, 0.00216, 0.00258, 0.00314, 0.00366, 0.00411, 0.00445, 0.00467, 0.00474, 0.00467, 0.00445, 0.00411, 0.00366, + 0.00314, 0.00258, 0.00202, 0.00150, 0.00105, 0.00070, 0.00049, 0.00041, 0.00049, 0.00070, 0.00105, 0.00150, 0.00202, 0.00247, 0.00323, 0.00394, 8.37198, 0.00502, 0.00531, 0.00541, 0.00531, 0.00502, 0.00455, 0.00394, 0.00323, 0.00247, 0.00171, 0.00100, 0.00039, 0.00001, 0.00003, 0.00003, 0.00003, 0.00001, 0.00039, 0.00100, 0.00171, 0.00222, 0.00322, 0.00415, 0.00487, + 0.00487, 0.00487, 0.00487, 0.00487, 0.00487, 0.00487, 0.00415, 0.00322, 0.00222, 0.00123, 0.00030, 0.00003, 0.00008, 0.00010, 0.00011, 0.00010, 0.00008, 0.00003, 0.00030, 0.00123, 0.00171, 0.00346, 0.00374, 0.00374, 0.00374, 0.00374, 0.00374, 0.00354, 0.00171, 0.00000, 0.00011, 0.00018, 0.00021, 0.00018, 0.00011, 0.00001, 0.00059, 0.00129, 0.00129, 0.00129, 0.00129, + 0.00129, 0.00059, 0.00010, 0.00013, 0.00013, 0.00013, 0.00010, 0.00004, 0.00004, 0.00004, 0.00004, 0.00004, 0.00004, 0.00003, 0.00003, 0.00003, 0.00004, 0.00004, 0.00005, 0.00005, 0.00005, 0.00005, 0.00005, 0.00004, 0.00004, 0.00003, 0.00003, 0.00002, 0.00002, 0.00002, 0.00003, 0.00003, 0.00004, 0.00004, 0.00005, 0.00005, 0.00006, 0.00006, 0.00006, 0.00005, 0.00005, + 0.00004, 0.00004, 0.00003, 0.00002, 0.00002, 0.00002, 0.00002, 0.00002, 0.00002, 0.00002, 0.00003, 0.00004, 0.00004, 0.00005, 0.00006, 0.00006, 0.00007, 0.00007, 0.00007, 0.00006, 0.00006, 0.00005, 0.00004, 0.00004, 0.00003, 0.00002, 0.00001, 0.00001, 0.00001, 0.00001, 0.00001, 0.00001, 0.00001, 0.00002, 0.00003, 0.00003, 0.00005, 0.00006, 0.00006, 8.36750, 0.00008, + 0.00008, 0.00008, 0.00007, 0.00006, 0.00006, 0.00005, 0.00003, 0.00002, 0.00001, 0.00001, 0.00002, 0.00008, 0.00010, 0.00008, 0.00002, 0.00001, 0.00001, 0.00002, 0.00003, 0.00005, 0.00006, 0.00007, 0.00007, 0.00007, 0.00007, 0.00007, 0.00007, 0.00007, 0.00006, 0.00005, 0.00003, 0.00002, 0.00000, 0.00010, 0.00022, 0.00030, 0.00033, 0.00030, 0.00022, 0.00010, 0.00000, + 0.00002, 0.00002, 0.00005, 0.00005, 0.00005, 0.00005, 0.00005, 0.00005, 0.00005, 0.00002, 0.00001, 0.00032, 0.00053, 0.00060, 0.00053, 0.00032, 0.00003, 0.00001, 0.00002, 0.00002, 0.00002, 0.00002, 0.00002, 0.00001, 0.00026, 0.00026, 0.00026, 0.00026, 0.00026, 0.00018, 0.00018, 0.00020, 0.00021, 0.00020, 0.00018, 0.00015, 0.00015, 0.00015, 0.00018, 0.00020, 0.00022, + 0.00024, 0.00024, 0.00024, 0.00022, 0.00020, 0.00018, 0.00015, 0.00013, 0.00012, 0.00011, 0.00012, 0.00013, 0.00015, 0.00017, 0.00021, 0.00023, 0.00026, 0.00027, 0.00028, 0.00027, 0.00026, 0.00023, 0.00021, 0.00017, 0.00014, 0.00012, 0.00009, 0.00008, 0.00007, 0.00008, 0.00009, 0.00012, 0.00014, 0.00017, 0.00021, 0.00024, 0.00027, 0.00030, 0.00031, 0.00032, 0.00031, + 0.00030, 0.00027, 0.00024, 0.00021, 0.00017, 0.00013, 0.00010, 0.00007, 0.00005, 0.00003, 0.00003, 0.00003, 0.00005, 0.00007, 0.00010, 0.00013, 0.00016, 0.00022, 0.00026, 0.00030, 0.00033, 8.36778, 0.00036, 0.00035, 0.00033, 0.00030, 0.00026, 0.00022, 0.00016, 0.00011, 0.00007, 0.00003, 0.00008, 0.00036, 0.00045, 0.00036, 0.00008, 0.00003, 0.00007, 0.00011, 0.00015, + 0.00021, 0.00028, 0.00032, 0.00031, 0.00031, 0.00031, 0.00031, 0.00031, 0.00032, 0.00028, 0.00021, 0.00015, 0.00008, 0.00002, 0.00048, 0.00106, 0.00142, 0.00155, 0.00142, 0.00106, 0.00048, 0.00002, 0.00008, 0.00011, 0.00023, 0.00023, 0.00023, 0.00023, 0.00023, 0.00023, 0.00024, 0.00011, 0.00005, 0.00153, 0.00248, 0.00284, 0.00251, 0.00153, 0.00012, 0.00004, 0.00008, + 0.00008, 0.00008, 0.00008, 0.00008, 0.00004, 0.00123, 0.00123, 0.00123, 0.00123, 0.00123, 0.00022, 0.00022, 0.00025, 0.00026, 0.00025, 0.00022, 0.00020, 0.00018, 0.00020, 0.00022, 0.00025, 0.00028, 0.00030, 0.00030, 0.00030, 0.00028, 0.00026, 0.00022, 0.00019, 0.00017, 0.00015, 0.00014, 0.00015, 0.00017, 0.00019, 0.00022, 0.00026, 0.00030, 0.00033, 0.00034, 0.00035, + 0.00034, 0.00033, 0.00030, 0.00026, 0.00022, 0.00018, 0.00015, 0.00012, 0.00010, 0.00009, 0.00010, 0.00012, 0.00015, 0.00018, 0.00022, 0.00027, 0.00031, 0.00035, 0.00038, 0.00039, 0.00040, 0.00039, 0.00038, 0.00035, 0.00031, 0.00027, 0.00022, 0.00017, 0.00013, 0.00009, 0.00006, 0.00004, 0.00004, 0.00004, 0.00006, 0.00009, 0.00013, 0.00017, 0.00021, 0.00027, 0.00033, + 0.00038, 0.00042, 0.00045, 8.36789, 0.00045, 0.00042, 0.00038, 0.00033, 0.00027, 0.00021, 0.00014, 0.00008, 0.00003, 0.00010, 0.00045, 0.00057, 0.00045, 0.00010, 0.00003, 0.00008, 0.00014, 0.00019, 0.00027, 0.00035, 0.00041, 0.00040, 0.00039, 0.00039, 0.00039, 0.00040, 0.00041, 0.00035, 0.00027, 0.00019, 0.00010, 0.00003, 0.00060, 0.00134, 0.00181, 0.00196, 0.00181, + 0.00134, 0.00060, 0.00003, 0.00010, 0.00014, 0.00029, 0.00030, 0.00029, 0.00029, 0.00029, 0.00030, 0.00030, 0.00014, 0.00006, 0.00194, 0.00315, 0.00360, 0.00319, 0.00194, 0.00015, 0.00005, 0.00010, 0.00010, 0.00010, 0.00010, 0.00010, 0.00005, 0.00156, 0.00156, 0.00156, 0.00156, 0.00156, 0.00018, 0.00018, 0.00020, 0.00021, 0.00020, 0.00018, 0.00015, 0.00015, 0.00015, + 0.00018, 0.00020, 0.00022, 0.00024, 0.00024, 0.00024, 0.00022, 0.00020, 0.00018, 0.00015, 0.00013, 0.00012, 0.00011, 0.00012, 0.00013, 0.00015, 0.00017, 0.00021, 0.00023, 0.00026, 0.00027, 0.00028, 0.00027, 0.00026, 0.00023, 0.00021, 0.00017, 0.00014, 0.00012, 0.00009, 0.00008, 0.00007, 0.00008, 0.00009, 0.00012, 0.00014, 0.00017, 0.00021, 0.00024, 0.00027, 0.00030, + 0.00031, 0.00032, 0.00031, 0.00030, 0.00027, 0.00024, 0.00021, 0.00017, 0.00013, 0.00010, 0.00007, 0.00005, 0.00003, 0.00003, 0.00003, 0.00005, 0.00007, 0.00010, 0.00013, 0.00016, 0.00022, 0.00026, 0.00030, 0.00033, 0.00035, 0.00036, 8.36778, 0.00033, 0.00030, 0.00026, 0.00022, 0.00016, 0.00011, 0.00007, 0.00003, 0.00008, 0.00036, 0.00045, 0.00036, 0.00008, 0.00003, + 0.00007, 0.00011, 0.00015, 0.00021, 0.00028, 0.00032, 0.00031, 0.00031, 0.00031, 0.00031, 0.00031, 0.00032, 0.00028, 0.00021, 0.00015, 0.00008, 0.00002, 0.00048, 0.00106, 0.00142, 0.00155, 0.00142, 0.00106, 0.00048, 0.00002, 0.00008, 0.00011, 0.00023, 0.00023, 0.00023, 0.00023, 0.00023, 0.00023, 0.00024, 0.00011, 0.00005, 0.00153, 0.00248, 0.00284, 0.00251, 0.00153, + 0.00012, 0.00004, 0.00008, 0.00008, 0.00008, 0.00008, 0.00008, 0.00004, 0.00123, 0.00123, 0.00123, 0.00123, 0.00123, 0.00004, 0.00004, 0.00004, 0.00004, 0.00004, 0.00004, 0.00003, 0.00003, 0.00003, 0.00004, 0.00004, 0.00005, 0.00005, 0.00005, 0.00005, 0.00005, 0.00004, 0.00004, 0.00003, 0.00003, 0.00002, 0.00002, 0.00002, 0.00003, 0.00003, 0.00004, 0.00004, 0.00005, + 0.00005, 0.00006, 0.00006, 0.00006, 0.00005, 0.00005, 0.00004, 0.00004, 0.00003, 0.00002, 0.00002, 0.00002, 0.00002, 0.00002, 0.00002, 0.00002, 0.00003, 0.00004, 0.00004, 0.00005, 0.00006, 0.00006, 0.00007, 0.00007, 0.00007, 0.00006, 0.00006, 0.00005, 0.00004, 0.00004, 0.00003, 0.00002, 0.00001, 0.00001, 0.00001, 0.00001, 0.00001, 0.00001, 0.00001, 0.00002, 0.00003, + 0.00003, 0.00005, 0.00006, 0.00006, 0.00007, 0.00008, 0.00008, 0.00008, 8.36750, 0.00006, 0.00006, 0.00005, 0.00003, 0.00002, 0.00001, 0.00001, 0.00002, 0.00008, 0.00010, 0.00008, 0.00002, 0.00001, 0.00001, 0.00002, 0.00003, 0.00005, 0.00006, 0.00007, 0.00007, 0.00007, 0.00007, 0.00007, 0.00007, 0.00007, 0.00006, 0.00005, 0.00003, 0.00002, 0.00000, 0.00010, 0.00022, + 0.00030, 0.00033, 0.00030, 0.00022, 0.00010, 0.00000, 0.00002, 0.00002, 0.00005, 0.00005, 0.00005, 0.00005, 0.00005, 0.00005, 0.00005, 0.00002, 0.00001, 0.00032, 0.00053, 0.00060, 0.00053, 0.00032, 0.00003, 0.00001, 0.00002, 0.00002, 0.00002, 0.00002, 0.00002, 0.00001, 0.00026, 0.00026, 0.00026, 0.00026, 0.00026, 0.00265, 0.00265, 0.00298, 0.00312, 0.00298, 0.00265, + 0.00232, 0.00218, 0.00232, 0.00264, 0.00300, 0.00332, 0.00353, 0.00361, 0.00354, 0.00332, 0.00302, 0.00264, 0.00228, 0.00196, 0.00176, 0.00168, 0.00175, 0.00196, 0.00227, 0.00262, 0.00309, 0.00352, 0.00385, 0.00407, 0.00414, 0.00407, 0.00385, 0.00352, 0.00309, 0.00262, 0.00216, 0.00173, 0.00140, 0.00118, 0.00111, 0.00118, 0.00140, 0.00173, 0.00216, 0.00258, 0.00314, + 0.00366, 0.00411, 0.00445, 0.00467, 0.00474, 0.00467, 0.00445, 0.00411, 0.00366, 0.00314, 0.00258, 0.00202, 0.00150, 0.00105, 0.00070, 0.00049, 0.00041, 0.00049, 0.00070, 0.00105, 0.00150, 0.00202, 0.00247, 0.00323, 0.00394, 0.00455, 0.00502, 0.00531, 0.00541, 0.00531, 0.00502, 8.37198, 0.00394, 0.00323, 0.00247, 0.00171, 0.00100, 0.00039, 0.00001, 0.00003, 0.00003, + 0.00003, 0.00001, 0.00039, 0.00100, 0.00171, 0.00222, 0.00322, 0.00415, 0.00487, 0.00487, 0.00487, 0.00487, 0.00487, 0.00487, 0.00487, 0.00415, 0.00322, 0.00222, 0.00123, 0.00030, 0.00003, 0.00008, 0.00010, 0.00011, 0.00010, 0.00008, 0.00003, 0.00030, 0.00123, 0.00171, 0.00346, 0.00374, 0.00374, 0.00374, 0.00374, 0.00374, 0.00354, 0.00171, 0.00000, 0.00011, 0.00018, + 0.00021, 0.00018, 0.00011, 0.00001, 0.00059, 0.00129, 0.00129, 0.00129, 0.00129, 0.00129, 0.00059, 0.00010, 0.00013, 0.00013, 0.00013, 0.00010, 0.00681, 0.00681, 0.00766, 0.00801, 0.00766, 0.00681, 0.00596, 0.00561, 0.00596, 0.00679, 0.00772, 0.00854, 0.00907, 0.00926, 0.00908, 0.00854, 0.00776, 0.00679, 0.00586, 0.00504, 0.00452, 0.00432, 0.00450, 0.00504, 0.00582, + 0.00674, 0.00795, 0.00903, 0.00989, 0.01044, 0.01064, 0.01044, 0.00989, 0.00903, 0.00795, 0.00674, 0.00554, 0.00445, 0.00359, 0.00304, 0.00285, 0.00304, 0.00359, 0.00445, 0.00554, 0.00662, 0.00806, 0.00940, 0.01055, 0.01144, 0.01199, 0.01218, 0.01199, 0.01144, 0.01055, 0.00940, 0.00806, 0.00662, 0.00519, 0.00384, 0.00269, 0.00181, 0.00126, 0.00107, 0.00126, 0.00181, + 0.00269, 0.00384, 0.00519, 0.00635, 0.00830, 0.01013, 0.01169, 0.01289, 0.01365, 0.01391, 0.01365, 0.01289, 0.01169, 8.37756, 0.00830, 0.00635, 0.00439, 0.00256, 0.00100, 0.00001, 0.00007, 0.00008, 0.00007, 0.00001, 0.00100, 0.00256, 0.00439, 0.00571, 0.00827, 0.01066, 0.01252, 0.01252, 0.01252, 0.01251, 0.01252, 0.01252, 0.01252, 0.01066, 0.00827, 0.00571, 0.00315, + 0.00077, 0.00009, 0.00020, 0.00027, 0.00029, 0.00027, 0.00020, 0.00009, 0.00077, 0.00315, 0.00438, 0.00890, 0.00961, 0.00961, 0.00961, 0.00961, 0.00961, 0.00909, 0.00438, 0.00001, 0.00029, 0.00047, 0.00053, 0.00047, 0.00029, 0.00002, 0.00151, 0.00331, 0.00332, 0.00332, 0.00332, 0.00331, 0.00151, 0.00026, 0.00033, 0.00034, 0.00033, 0.00026, 0.01166, 0.01165, 0.01310, + 0.01371, 0.01310, 0.01165, 0.01020, 0.00960, 0.01020, 0.01162, 0.01320, 0.01461, 0.01551, 0.01585, 0.01554, 0.01461, 0.01327, 0.01162, 0.01004, 0.00863, 0.00773, 0.00739, 0.00770, 0.00863, 0.00997, 0.01154, 0.01360, 0.01545, 0.01693, 0.01787, 0.01820, 0.01787, 0.01693, 0.01545, 0.01360, 0.01154, 0.00948, 0.00762, 0.00615, 0.00520, 0.00488, 0.00520, 0.00615, 0.00762, + 0.00948, 0.01134, 0.01380, 0.01609, 0.01806, 0.01957, 0.02052, 0.02085, 0.02052, 0.01957, 0.01806, 0.01609, 0.01380, 0.01134, 0.00887, 0.00658, 0.00461, 0.00310, 0.00215, 0.00182, 0.00215, 0.00310, 0.00461, 0.00658, 0.00887, 0.01086, 0.01421, 0.01733, 0.02001, 0.02206, 0.02336, 0.02380, 0.02336, 0.02206, 0.02001, 0.01733, 8.38164, 0.01086, 0.00751, 0.00439, 0.00171, + 0.00002, 0.00011, 0.00014, 0.00011, 0.00002, 0.00171, 0.00439, 0.00751, 0.00977, 0.01415, 0.01824, 0.02142, 0.02142, 0.02142, 0.02142, 0.02142, 0.02142, 0.02142, 0.01824, 0.01415, 0.00977, 0.00539, 0.00131, 0.00015, 0.00034, 0.00046, 0.00050, 0.00046, 0.00034, 0.00015, 0.00131, 0.00539, 0.00750, 0.01523, 0.01644, 0.01644, 0.01644, 0.01644, 0.01644, 0.01556, 0.00750, + 0.00002, 0.00049, 0.00080, 0.00091, 0.00081, 0.00049, 0.00004, 0.00259, 0.00567, 0.00567, 0.00567, 0.00567, 0.00567, 0.00259, 0.00044, 0.00057, 0.00058, 0.00057, 0.00044, 0.01686, 0.01685, 0.01895, 0.01982, 0.01895, 0.01685, 0.01475, 0.01388, 0.01475, 0.01680, 0.01909, 0.02113, 0.02243, 0.02292, 0.02247, 0.02113, 0.01919, 0.01680, 0.01451, 0.01248, 0.01117, 0.01069, + 0.01113, 0.01248, 0.01441, 0.01668, 0.01966, 0.02235, 0.02448, 0.02584, 0.02632, 0.02584, 0.02448, 0.02235, 0.01966, 0.01668, 0.01371, 0.01102, 0.00889, 0.00752, 0.00705, 0.00752, 0.00889, 0.01102, 0.01371, 0.01639, 0.01995, 0.02327, 0.02612, 0.02830, 0.02968, 0.03015, 0.02968, 0.02830, 0.02612, 0.02327, 0.01995, 0.01639, 0.01283, 0.00951, 0.00667, 0.00448, 0.00311, + 0.00264, 0.00311, 0.00448, 0.00667, 0.00951, 0.01283, 0.01570, 0.02054, 0.02506, 0.02893, 0.03191, 0.03377, 0.03441, 0.03377, 0.03191, 0.02893, 0.02506, 0.02054, 8.38313, 0.01086, 0.00635, 0.00247, 0.00003, 0.00016, 0.00021, 0.00016, 0.00003, 0.00247, 0.00635, 0.01086, 0.01413, 0.02047, 0.02637, 0.03098, 0.03097, 0.03097, 0.03097, 0.03097, 0.03097, 0.03098, 0.02637, + 0.02047, 0.01413, 0.00780, 0.00189, 0.00022, 0.00049, 0.00066, 0.00072, 0.00066, 0.00049, 0.00022, 0.00189, 0.00780, 0.01085, 0.02202, 0.02378, 0.02378, 0.02378, 0.02378, 0.02378, 0.02250, 0.01085, 0.00002, 0.00071, 0.00115, 0.00132, 0.00116, 0.00071, 0.00006, 0.00374, 0.00820, 0.00820, 0.00820, 0.00820, 0.00820, 0.00374, 0.00064, 0.00082, 0.00083, 0.00082, 0.00064, + 0.02206, 0.02205, 0.02479, 0.02593, 0.02479, 0.02205, 0.01930, 0.01816, 0.01930, 0.02199, 0.02498, 0.02765, 0.02935, 0.02999, 0.02941, 0.02765, 0.02511, 0.02199, 0.01899, 0.01633, 0.01462, 0.01398, 0.01457, 0.01633, 0.01886, 0.02183, 0.02572, 0.02924, 0.03203, 0.03382, 0.03443, 0.03382, 0.03203, 0.02924, 0.02572, 0.02183, 0.01794, 0.01442, 0.01163, 0.00984, 0.00923, + 0.00984, 0.01163, 0.01442, 0.01794, 0.02145, 0.02610, 0.03045, 0.03417, 0.03703, 0.03883, 0.03944, 0.03883, 0.03703, 0.03417, 0.03045, 0.02610, 0.02145, 0.01679, 0.01245, 0.00872, 0.00586, 0.00406, 0.00345, 0.00406, 0.00586, 0.00872, 0.01245, 0.01679, 0.02054, 0.02688, 0.03278, 0.03786, 0.04175, 0.04419, 0.04503, 0.04419, 0.04175, 0.03786, 0.03278, 0.02688, 0.02054, + 8.38164, 0.00830, 0.00323, 0.00005, 0.00022, 0.00027, 0.00022, 0.00005, 0.00323, 0.00830, 0.01421, 0.01849, 0.02678, 0.03450, 0.04053, 0.04052, 0.04052, 0.04052, 0.04052, 0.04052, 0.04053, 0.03450, 0.02678, 0.01849, 0.01020, 0.00248, 0.00029, 0.00064, 0.00086, 0.00094, 0.00086, 0.00064, 0.00029, 0.00248, 0.01020, 0.01420, 0.02881, 0.03111, 0.03111, 0.03111, 0.03111, + 0.03111, 0.02944, 0.01420, 0.00003, 0.00093, 0.00151, 0.00172, 0.00152, 0.00093, 0.00007, 0.00490, 0.01073, 0.01073, 0.01073, 0.01073, 0.01073, 0.00490, 0.00084, 0.00107, 0.00109, 0.00107, 0.00084, 0.02691, 0.02689, 0.03024, 0.03163, 0.03024, 0.02689, 0.02354, 0.02215, 0.02354, 0.02682, 0.03047, 0.03372, 0.03580, 0.03658, 0.03587, 0.03372, 0.03063, 0.02682, 0.02316, + 0.01991, 0.01783, 0.01706, 0.01777, 0.01991, 0.02300, 0.02663, 0.03138, 0.03566, 0.03906, 0.04125, 0.04200, 0.04125, 0.03906, 0.03566, 0.03138, 0.02663, 0.02188, 0.01759, 0.01419, 0.01201, 0.01125, 0.01201, 0.01419, 0.01759, 0.02188, 0.02616, 0.03184, 0.03713, 0.04168, 0.04517, 0.04736, 0.04811, 0.04736, 0.04517, 0.04168, 0.03713, 0.03184, 0.02616, 0.02048, 0.01518, + 0.01064, 0.00715, 0.00496, 0.00421, 0.00496, 0.00715, 0.01064, 0.01518, 0.02048, 0.02506, 0.03278, 0.03999, 0.04617, 0.05092, 0.05390, 0.05492, 0.05390, 0.05092, 0.04617, 0.03999, 0.03278, 0.02506, 0.01733, 8.37756, 0.00394, 0.00006, 0.00026, 0.00033, 0.00026, 0.00006, 0.00394, 0.01013, 0.01733, 0.02255, 0.03266, 0.04208, 0.04943, 0.04943, 0.04942, 0.04942, 0.04942, + 0.04943, 0.04943, 0.04208, 0.03266, 0.02255, 0.01244, 0.00302, 0.00035, 0.00078, 0.00105, 0.00115, 0.00105, 0.00078, 0.00035, 0.00302, 0.01244, 0.01731, 0.03514, 0.03794, 0.03794, 0.03794, 0.03794, 0.03794, 0.03590, 0.01731, 0.00004, 0.00113, 0.00184, 0.00210, 0.00186, 0.00113, 0.00009, 0.00597, 0.01309, 0.01309, 0.01309, 0.01309, 0.01309, 0.00597, 0.00103, 0.00131, + 0.00133, 0.00131, 0.00103, 0.03107, 0.03105, 0.03492, 0.03652, 0.03492, 0.03105, 0.02718, 0.02557, 0.02718, 0.03096, 0.03519, 0.03893, 0.04134, 0.04223, 0.04141, 0.03893, 0.03537, 0.03096, 0.02674, 0.02299, 0.02059, 0.01969, 0.02051, 0.02299, 0.02656, 0.03074, 0.03623, 0.04118, 0.04510, 0.04762, 0.04849, 0.04762, 0.04510, 0.04118, 0.03623, 0.03074, 0.02526, 0.02031, + 0.01638, 0.01386, 0.01299, 0.01386, 0.01638, 0.02031, 0.02526, 0.03020, 0.03676, 0.04288, 0.04813, 0.05215, 0.05468, 0.05555, 0.05468, 0.05215, 0.04813, 0.04288, 0.03676, 0.03020, 0.02364, 0.01753, 0.01228, 0.00826, 0.00572, 0.00486, 0.00572, 0.00826, 0.01228, 0.01753, 0.02364, 0.02893, 0.03786, 0.04617, 0.05331, 0.05879, 0.06224, 0.06341, 0.06224, 0.05879, 0.05331, + 0.04617, 0.03786, 0.02893, 0.02001, 0.01169, 8.37198, 0.00006, 0.00030, 0.00038, 0.00030, 0.00006, 0.00455, 0.01169, 0.02001, 0.02604, 0.03771, 0.04859, 0.05708, 0.05707, 0.05707, 0.05706, 0.05707, 0.05707, 0.05708, 0.04859, 0.03771, 0.02604, 0.01437, 0.00349, 0.00041, 0.00090, 0.00122, 0.00132, 0.00122, 0.00090, 0.00041, 0.00349, 0.01437, 0.01999, 0.04057, 0.04381, + 0.04381, 0.04381, 0.04381, 0.04381, 0.04146, 0.01999, 0.00004, 0.00131, 0.00212, 0.00242, 0.00215, 0.00131, 0.00010, 0.00690, 0.01511, 0.01512, 0.01512, 0.01512, 0.01511, 0.00690, 0.00118, 0.00151, 0.00154, 0.00151, 0.00118, 0.03426, 0.03424, 0.03851, 0.04028, 0.03851, 0.03424, 0.02997, 0.02820, 0.02997, 0.03415, 0.03880, 0.04293, 0.04559, 0.04657, 0.04567, 0.04293, + 0.03900, 0.03415, 0.02949, 0.02536, 0.02271, 0.02172, 0.02262, 0.02536, 0.02929, 0.03390, 0.03995, 0.04541, 0.04974, 0.05252, 0.05348, 0.05252, 0.04974, 0.04541, 0.03995, 0.03390, 0.02785, 0.02240, 0.01807, 0.01529, 0.01433, 0.01529, 0.01807, 0.02240, 0.02785, 0.03331, 0.04054, 0.04728, 0.05307, 0.05751, 0.06031, 0.06126, 0.06031, 0.05751, 0.05307, 0.04728, 0.04054, + 0.03331, 0.02607, 0.01933, 0.01355, 0.00910, 0.00631, 0.00536, 0.00631, 0.00910, 0.01355, 0.01933, 0.02607, 0.03191, 0.04175, 0.05092, 0.05879, 0.06483, 0.06863, 0.06993, 0.06863, 0.06483, 0.05879, 0.05092, 0.04175, 0.03191, 0.02206, 0.01289, 0.00502, 8.36750, 0.00033, 0.00042, 0.00033, 0.00007, 0.00502, 0.01289, 0.02206, 0.02872, 0.04159, 0.05358, 0.06294, 0.06294, + 0.06293, 0.06293, 0.06293, 0.06294, 0.06294, 0.05358, 0.04159, 0.02872, 0.01584, 0.00385, 0.00045, 0.00100, 0.00134, 0.00146, 0.00134, 0.00100, 0.00045, 0.00385, 0.01584, 0.02205, 0.04474, 0.04832, 0.04831, 0.04831, 0.04831, 0.04832, 0.04572, 0.02205, 0.00004, 0.00144, 0.00234, 0.00267, 0.00237, 0.00144, 0.00011, 0.00761, 0.01667, 0.01667, 0.01667, 0.01667, 0.01667, + 0.00761, 0.00131, 0.00166, 0.00169, 0.00166, 0.00131, 0.03627, 0.03624, 0.04076, 0.04264, 0.04076, 0.03624, 0.03173, 0.02985, 0.03173, 0.03615, 0.04108, 0.04545, 0.04826, 0.04930, 0.04834, 0.04545, 0.04129, 0.03615, 0.03122, 0.02684, 0.02404, 0.02299, 0.02395, 0.02684, 0.03101, 0.03589, 0.04229, 0.04807, 0.05265, 0.05560, 0.05661, 0.05560, 0.05265, 0.04807, 0.04229, + 0.03589, 0.02949, 0.02371, 0.01913, 0.01618, 0.01517, 0.01618, 0.01913, 0.02371, 0.02949, 0.03526, 0.04292, 0.05005, 0.05618, 0.06088, 0.06384, 0.06485, 0.06384, 0.06088, 0.05618, 0.05005, 0.04292, 0.03526, 0.02760, 0.02047, 0.01434, 0.00964, 0.00668, 0.00567, 0.00668, 0.00964, 0.01434, 0.02047, 0.02760, 0.03377, 0.04419, 0.05390, 0.06224, 0.06863, 0.07265, 0.07403, + 0.07265, 0.06863, 0.06224, 0.05390, 0.04419, 0.03377, 0.02336, 0.01365, 0.00531, 0.00008, 8.36778, 0.00045, 0.00035, 0.00008, 0.00531, 0.01365, 0.02336, 0.03040, 0.04403, 0.05672, 0.06663, 0.06662, 0.06662, 0.06662, 0.06662, 0.06662, 0.06663, 0.05672, 0.04403, 0.03040, 0.01677, 0.00407, 0.00047, 0.00105, 0.00142, 0.00154, 0.00142, 0.00105, 0.00047, 0.00407, 0.01677, + 0.02334, 0.04736, 0.05115, 0.05114, 0.05114, 0.05114, 0.05115, 0.04839, 0.02334, 0.00005, 0.00153, 0.00248, 0.00283, 0.00251, 0.00153, 0.00012, 0.00805, 0.01764, 0.01765, 0.01765, 0.01765, 0.01764, 0.00805, 0.00138, 0.00176, 0.00179, 0.00176, 0.00138, 0.03695, 0.03693, 0.04153, 0.04344, 0.04153, 0.03693, 0.03232, 0.03042, 0.03232, 0.03683, 0.04185, 0.04631, 0.04917, + 0.05023, 0.04926, 0.04631, 0.04207, 0.03683, 0.03181, 0.02735, 0.02449, 0.02342, 0.02440, 0.02735, 0.03159, 0.03657, 0.04309, 0.04898, 0.05365, 0.05665, 0.05768, 0.05665, 0.05365, 0.04898, 0.04309, 0.03657, 0.03004, 0.02416, 0.01949, 0.01649, 0.01545, 0.01649, 0.01949, 0.02416, 0.03004, 0.03593, 0.04373, 0.05100, 0.05724, 0.06203, 0.06504, 0.06607, 0.06504, 0.06203, + 0.05724, 0.05100, 0.04373, 0.03593, 0.02812, 0.02085, 0.01461, 0.00982, 0.00681, 0.00578, 0.00681, 0.00982, 0.01461, 0.02085, 0.02812, 0.03441, 0.04503, 0.05492, 0.06341, 0.06993, 0.07403, 0.07542, 0.07403, 0.06993, 0.06341, 0.05492, 0.04503, 0.03441, 0.02380, 0.01391, 0.00541, 0.00008, 0.00036, 8.36789, 0.00036, 0.00008, 0.00541, 0.01391, 0.02380, 0.03097, 0.04486, + 0.05779, 0.06789, 0.06788, 0.06788, 0.06787, 0.06788, 0.06788, 0.06789, 0.05779, 0.04486, 0.03097, 0.01709, 0.00415, 0.00048, 0.00107, 0.00145, 0.00157, 0.00145, 0.00107, 0.00048, 0.00415, 0.01709, 0.02378, 0.04825, 0.05211, 0.05211, 0.05211, 0.05211, 0.05211, 0.04931, 0.02378, 0.00005, 0.00156, 0.00252, 0.00288, 0.00255, 0.00156, 0.00012, 0.00820, 0.01798, 0.01798, + 0.01798, 0.01798, 0.01798, 0.00820, 0.00141, 0.00179, 0.00183, 0.00179, 0.00141, 0.03627, 0.03624, 0.04076, 0.04264, 0.04076, 0.03624, 0.03173, 0.02985, 0.03173, 0.03615, 0.04108, 0.04545, 0.04826, 0.04930, 0.04834, 0.04545, 0.04129, 0.03615, 0.03122, 0.02684, 0.02404, 0.02299, 0.02395, 0.02684, 0.03101, 0.03589, 0.04229, 0.04807, 0.05265, 0.05560, 0.05661, 0.05560, + 0.05265, 0.04807, 0.04229, 0.03589, 0.02949, 0.02371, 0.01913, 0.01618, 0.01517, 0.01618, 0.01913, 0.02371, 0.02949, 0.03526, 0.04292, 0.05005, 0.05618, 0.06088, 0.06384, 0.06485, 0.06384, 0.06088, 0.05618, 0.05005, 0.04292, 0.03526, 0.02760, 0.02047, 0.01434, 0.00964, 0.00668, 0.00567, 0.00668, 0.00964, 0.01434, 0.02047, 0.02760, 0.03377, 0.04419, 0.05390, 0.06224, + 0.06863, 0.07265, 0.07403, 0.07265, 0.06863, 0.06224, 0.05390, 0.04419, 0.03377, 0.02336, 0.01365, 0.00531, 0.00008, 0.00035, 0.00045, 8.36778, 0.00008, 0.00531, 0.01365, 0.02336, 0.03040, 0.04403, 0.05672, 0.06663, 0.06662, 0.06662, 0.06662, 0.06662, 0.06662, 0.06663, 0.05672, 0.04403, 0.03040, 0.01677, 0.00407, 0.00047, 0.00105, 0.00142, 0.00154, 0.00142, 0.00105, + 0.00047, 0.00407, 0.01677, 0.02334, 0.04736, 0.05115, 0.05114, 0.05114, 0.05114, 0.05115, 0.04839, 0.02334, 0.00005, 0.00153, 0.00248, 0.00283, 0.00251, 0.00153, 0.00012, 0.00805, 0.01764, 0.01765, 0.01765, 0.01765, 0.01764, 0.00805, 0.00138, 0.00176, 0.00179, 0.00176, 0.00138, 0.03426, 0.03424, 0.03851, 0.04028, 0.03851, 0.03424, 0.02997, 0.02820, 0.02997, 0.03415, + 0.03880, 0.04293, 0.04559, 0.04657, 0.04567, 0.04293, 0.03900, 0.03415, 0.02949, 0.02536, 0.02271, 0.02172, 0.02262, 0.02536, 0.02929, 0.03390, 0.03995, 0.04541, 0.04974, 0.05252, 0.05348, 0.05252, 0.04974, 0.04541, 0.03995, 0.03390, 0.02785, 0.02240, 0.01807, 0.01529, 0.01433, 0.01529, 0.01807, 0.02240, 0.02785, 0.03331, 0.04054, 0.04728, 0.05307, 0.05751, 0.06031, + 0.06126, 0.06031, 0.05751, 0.05307, 0.04728, 0.04054, 0.03331, 0.02607, 0.01933, 0.01355, 0.00910, 0.00631, 0.00536, 0.00631, 0.00910, 0.01355, 0.01933, 0.02607, 0.03191, 0.04175, 0.05092, 0.05879, 0.06483, 0.06863, 0.06993, 0.06863, 0.06483, 0.05879, 0.05092, 0.04175, 0.03191, 0.02206, 0.01289, 0.00502, 0.00007, 0.00033, 0.00042, 0.00033, 8.36750, 0.00502, 0.01289, + 0.02206, 0.02872, 0.04159, 0.05358, 0.06294, 0.06294, 0.06293, 0.06293, 0.06293, 0.06294, 0.06294, 0.05358, 0.04159, 0.02872, 0.01584, 0.00385, 0.00045, 0.00100, 0.00134, 0.00146, 0.00134, 0.00100, 0.00045, 0.00385, 0.01584, 0.02205, 0.04474, 0.04832, 0.04831, 0.04831, 0.04831, 0.04832, 0.04572, 0.02205, 0.00004, 0.00144, 0.00234, 0.00267, 0.00237, 0.00144, 0.00011, + 0.00761, 0.01667, 0.01667, 0.01667, 0.01667, 0.01667, 0.00761, 0.00131, 0.00166, 0.00169, 0.00166, 0.00131, 0.03107, 0.03105, 0.03492, 0.03652, 0.03492, 0.03105, 0.02718, 0.02557, 0.02718, 0.03096, 0.03519, 0.03893, 0.04134, 0.04223, 0.04141, 0.03893, 0.03537, 0.03096, 0.02674, 0.02299, 0.02059, 0.01969, 0.02051, 0.02299, 0.02656, 0.03074, 0.03623, 0.04118, 0.04510, + 0.04762, 0.04849, 0.04762, 0.04510, 0.04118, 0.03623, 0.03074, 0.02526, 0.02031, 0.01638, 0.01386, 0.01299, 0.01386, 0.01638, 0.02031, 0.02526, 0.03020, 0.03676, 0.04288, 0.04813, 0.05215, 0.05468, 0.05555, 0.05468, 0.05215, 0.04813, 0.04288, 0.03676, 0.03020, 0.02364, 0.01753, 0.01228, 0.00826, 0.00572, 0.00486, 0.00572, 0.00826, 0.01228, 0.01753, 0.02364, 0.02893, + 0.03786, 0.04617, 0.05331, 0.05879, 0.06224, 0.06341, 0.06224, 0.05879, 0.05331, 0.04617, 0.03786, 0.02893, 0.02001, 0.01169, 0.00455, 0.00006, 0.00030, 0.00038, 0.00030, 0.00006, 8.37198, 0.01169, 0.02001, 0.02604, 0.03771, 0.04859, 0.05708, 0.05707, 0.05707, 0.05706, 0.05707, 0.05707, 0.05708, 0.04859, 0.03771, 0.02604, 0.01437, 0.00349, 0.00041, 0.00090, 0.00122, + 0.00132, 0.00122, 0.00090, 0.00041, 0.00349, 0.01437, 0.01999, 0.04057, 0.04381, 0.04381, 0.04381, 0.04381, 0.04381, 0.04146, 0.01999, 0.00004, 0.00131, 0.00212, 0.00242, 0.00215, 0.00131, 0.00010, 0.00690, 0.01511, 0.01512, 0.01512, 0.01512, 0.01511, 0.00690, 0.00118, 0.00151, 0.00154, 0.00151, 0.00118, 0.02691, 0.02689, 0.03024, 0.03163, 0.03024, 0.02689, 0.02354, + 0.02215, 0.02354, 0.02682, 0.03047, 0.03372, 0.03580, 0.03658, 0.03587, 0.03372, 0.03063, 0.02682, 0.02316, 0.01991, 0.01783, 0.01706, 0.01777, 0.01991, 0.02300, 0.02663, 0.03138, 0.03566, 0.03906, 0.04125, 0.04200, 0.04125, 0.03906, 0.03566, 0.03138, 0.02663, 0.02188, 0.01759, 0.01419, 0.01201, 0.01125, 0.01201, 0.01419, 0.01759, 0.02188, 0.02616, 0.03184, 0.03713, + 0.04168, 0.04517, 0.04736, 0.04811, 0.04736, 0.04517, 0.04168, 0.03713, 0.03184, 0.02616, 0.02048, 0.01518, 0.01064, 0.00715, 0.00496, 0.00421, 0.00496, 0.00715, 0.01064, 0.01518, 0.02048, 0.02506, 0.03278, 0.03999, 0.04617, 0.05092, 0.05390, 0.05492, 0.05390, 0.05092, 0.04617, 0.03999, 0.03278, 0.02506, 0.01733, 0.01013, 0.00394, 0.00006, 0.00026, 0.00033, 0.00026, + 0.00006, 0.00394, 8.37756, 0.01733, 0.02255, 0.03266, 0.04208, 0.04943, 0.04943, 0.04942, 0.04942, 0.04942, 0.04943, 0.04943, 0.04208, 0.03266, 0.02255, 0.01244, 0.00302, 0.00035, 0.00078, 0.00105, 0.00115, 0.00105, 0.00078, 0.00035, 0.00302, 0.01244, 0.01731, 0.03514, 0.03794, 0.03794, 0.03794, 0.03794, 0.03794, 0.03590, 0.01731, 0.00004, 0.00113, 0.00184, 0.00210, + 0.00186, 0.00113, 0.00009, 0.00597, 0.01309, 0.01309, 0.01309, 0.01309, 0.01309, 0.00597, 0.00103, 0.00131, 0.00133, 0.00131, 0.00103, 0.02206, 0.02205, 0.02479, 0.02593, 0.02479, 0.02205, 0.01930, 0.01816, 0.01930, 0.02199, 0.02498, 0.02765, 0.02935, 0.02999, 0.02941, 0.02765, 0.02511, 0.02199, 0.01899, 0.01633, 0.01462, 0.01398, 0.01457, 0.01633, 0.01886, 0.02183, + 0.02572, 0.02924, 0.03203, 0.03382, 0.03443, 0.03382, 0.03203, 0.02924, 0.02572, 0.02183, 0.01794, 0.01442, 0.01163, 0.00984, 0.00923, 0.00984, 0.01163, 0.01442, 0.01794, 0.02145, 0.02610, 0.03045, 0.03417, 0.03703, 0.03883, 0.03944, 0.03883, 0.03703, 0.03417, 0.03045, 0.02610, 0.02145, 0.01679, 0.01245, 0.00872, 0.00586, 0.00406, 0.00345, 0.00406, 0.00586, 0.00872, + 0.01245, 0.01679, 0.02054, 0.02688, 0.03278, 0.03786, 0.04175, 0.04419, 0.04503, 0.04419, 0.04175, 0.03786, 0.03278, 0.02688, 0.02054, 0.01421, 0.00830, 0.00323, 0.00005, 0.00022, 0.00027, 0.00022, 0.00005, 0.00323, 0.00830, 8.38164, 0.01849, 0.02678, 0.03450, 0.04053, 0.04052, 0.04052, 0.04052, 0.04052, 0.04052, 0.04053, 0.03450, 0.02678, 0.01849, 0.01020, 0.00248, + 0.00029, 0.00064, 0.00086, 0.00094, 0.00086, 0.00064, 0.00029, 0.00248, 0.01020, 0.01420, 0.02881, 0.03111, 0.03111, 0.03111, 0.03111, 0.03111, 0.02944, 0.01420, 0.00003, 0.00093, 0.00151, 0.00172, 0.00152, 0.00093, 0.00007, 0.00490, 0.01073, 0.01073, 0.01073, 0.01073, 0.01073, 0.00490, 0.00084, 0.00107, 0.00109, 0.00107, 0.00084, 0.01517, 0.01516, 0.01705, 0.01784, + 0.01705, 0.01516, 0.01327, 0.01249, 0.01327, 0.01512, 0.01719, 0.01902, 0.02019, 0.02063, 0.02023, 0.01902, 0.01727, 0.01512, 0.01306, 0.01123, 0.01006, 0.00962, 0.01002, 0.01123, 0.01297, 0.01502, 0.01769, 0.02011, 0.02203, 0.02326, 0.02369, 0.02326, 0.02203, 0.02011, 0.01769, 0.01502, 0.01234, 0.00992, 0.00800, 0.00677, 0.00635, 0.00677, 0.00800, 0.00992, 0.01234, + 0.01475, 0.01796, 0.02094, 0.02351, 0.02547, 0.02671, 0.02713, 0.02671, 0.02547, 0.02351, 0.02094, 0.01796, 0.01475, 0.01155, 0.00856, 0.00600, 0.00403, 0.00280, 0.00237, 0.00280, 0.00403, 0.00600, 0.00856, 0.01155, 0.01413, 0.01849, 0.02255, 0.02604, 0.02872, 0.03040, 0.03097, 0.03040, 0.02872, 0.02604, 0.02255, 0.01849, 0.01413, 0.00977, 0.00571, 0.00222, 0.00003, + 0.00015, 0.00019, 0.00015, 0.00003, 0.00222, 0.00571, 0.00977, 12.96978, 0.01842, 0.02373, 0.02788, 0.02788, 0.02787, 0.02787, 0.02787, 0.02788, 0.02788, 0.02373, 0.01842, 0.01272, 0.00702, 0.00170, 0.00020, 0.00044, 0.00059, 0.00065, 0.00059, 0.00044, 0.00020, 0.00170, 0.00702, 0.00977, 0.01982, 0.02140, 0.02140, 0.02140, 0.02140, 0.02140, 0.02025, 0.00977, 0.00002, + 0.00064, 0.00104, 0.00118, 0.00105, 0.00064, 0.00005, 0.00337, 0.00738, 0.00738, 0.00738, 0.00738, 0.00738, 0.00337, 0.00058, 0.00074, 0.00075, 0.00074, 0.00058, 0.00837, 0.00837, 0.00941, 0.00984, 0.00941, 0.00837, 0.00732, 0.00689, 0.00732, 0.00834, 0.00948, 0.01049, 0.01114, 0.01138, 0.01116, 0.01049, 0.00953, 0.00834, 0.00721, 0.00620, 0.00555, 0.00531, 0.00553, + 0.00620, 0.00716, 0.00828, 0.00976, 0.01110, 0.01215, 0.01283, 0.01307, 0.01283, 0.01215, 0.01110, 0.00976, 0.00828, 0.00681, 0.00547, 0.00441, 0.00374, 0.00350, 0.00374, 0.00441, 0.00547, 0.00681, 0.00814, 0.00991, 0.01155, 0.01297, 0.01405, 0.01474, 0.01497, 0.01474, 0.01405, 0.01297, 0.01155, 0.00991, 0.00814, 0.00637, 0.00472, 0.00331, 0.00222, 0.00154, 0.00131, + 0.00154, 0.00222, 0.00331, 0.00472, 0.00637, 0.00780, 0.01020, 0.01244, 0.01437, 0.01584, 0.01677, 0.01709, 0.01677, 0.01584, 0.01437, 0.01244, 0.01020, 0.00780, 0.00539, 0.00315, 0.00123, 0.00002, 0.00008, 0.00010, 0.00008, 0.00002, 0.00123, 0.00315, 0.00539, 0.00702, 12.96722, 0.01309, 0.01538, 0.01538, 0.01538, 0.01538, 0.01538, 0.01538, 0.01538, 0.01309, 0.01016, + 0.00702, 0.00387, 0.00094, 0.00011, 0.00024, 0.00033, 0.00036, 0.00033, 0.00024, 0.00011, 0.00094, 0.00387, 0.00539, 0.01093, 0.01181, 0.01181, 0.01181, 0.01181, 0.01181, 0.01117, 0.00539, 0.00001, 0.00035, 0.00057, 0.00065, 0.00058, 0.00035, 0.00003, 0.00186, 0.00407, 0.00407, 0.00407, 0.00407, 0.00407, 0.00186, 0.00032, 0.00041, 0.00041, 0.00041, 0.00032, 0.00203, + 0.00203, 0.00228, 0.00239, 0.00228, 0.00203, 0.00178, 0.00167, 0.00178, 0.00203, 0.00230, 0.00255, 0.00270, 0.00276, 0.00271, 0.00255, 0.00231, 0.00203, 0.00175, 0.00150, 0.00135, 0.00129, 0.00134, 0.00150, 0.00174, 0.00201, 0.00237, 0.00269, 0.00295, 0.00312, 0.00317, 0.00312, 0.00295, 0.00269, 0.00237, 0.00201, 0.00165, 0.00133, 0.00107, 0.00091, 0.00085, 0.00091, + 0.00107, 0.00133, 0.00165, 0.00198, 0.00241, 0.00281, 0.00315, 0.00341, 0.00358, 0.00363, 0.00358, 0.00341, 0.00315, 0.00281, 0.00241, 0.00198, 0.00155, 0.00115, 0.00080, 0.00054, 0.00037, 0.00032, 0.00037, 0.00054, 0.00080, 0.00115, 0.00155, 0.00189, 0.00248, 0.00302, 0.00349, 0.00385, 0.00407, 0.00415, 0.00407, 0.00385, 0.00349, 0.00302, 0.00248, 0.00189, 0.00131, + 0.00077, 0.00030, 0.00000, 0.00002, 0.00003, 0.00002, 0.00000, 0.00030, 0.00077, 0.00131, 0.00170, 0.00247, 12.96024, 0.00374, 0.00373, 0.00373, 0.00373, 0.00373, 0.00373, 0.00374, 0.00318, 0.00247, 0.00170, 0.00094, 0.00023, 0.00003, 0.00006, 0.00008, 0.00009, 0.00008, 0.00006, 0.00003, 0.00023, 0.00094, 0.00131, 0.00265, 0.00287, 0.00287, 0.00287, 0.00287, 0.00287, + 0.00271, 0.00131, 0.00000, 0.00009, 0.00014, 0.00016, 0.00014, 0.00009, 0.00001, 0.00045, 0.00099, 0.00099, 0.00099, 0.00099, 0.00099, 0.00045, 0.00008, 0.00010, 0.00010, 0.00010, 0.00008, 0.00024, 0.00024, 0.00027, 0.00028, 0.00027, 0.00024, 0.00021, 0.00019, 0.00021, 0.00024, 0.00027, 0.00030, 0.00031, 0.00032, 0.00032, 0.00030, 0.00027, 0.00024, 0.00020, 0.00018, + 0.00016, 0.00015, 0.00016, 0.00018, 0.00020, 0.00023, 0.00028, 0.00031, 0.00034, 0.00036, 0.00037, 0.00036, 0.00034, 0.00031, 0.00028, 0.00023, 0.00019, 0.00015, 0.00012, 0.00011, 0.00010, 0.00011, 0.00012, 0.00015, 0.00019, 0.00023, 0.00028, 0.00033, 0.00037, 0.00040, 0.00042, 0.00042, 0.00042, 0.00040, 0.00037, 0.00033, 0.00028, 0.00023, 0.00018, 0.00013, 0.00009, + 0.00006, 0.00004, 0.00004, 0.00004, 0.00006, 0.00009, 0.00013, 0.00018, 0.00022, 0.00029, 0.00035, 0.00041, 0.00045, 0.00047, 0.00048, 0.00047, 0.00045, 0.00041, 0.00035, 0.00029, 0.00022, 0.00015, 0.00009, 0.00003, 0.00010, 0.00048, 0.00060, 0.00048, 0.00010, 0.00003, 0.00009, 0.00015, 0.00020, 0.00029, 0.00037, 12.95749, 0.00042, 0.00041, 0.00041, 0.00041, 0.00042, + 0.00043, 0.00037, 0.00029, 0.00020, 0.00011, 0.00003, 0.00064, 0.00142, 0.00190, 0.00207, 0.00190, 0.00142, 0.00064, 0.00003, 0.00011, 0.00015, 0.00031, 0.00031, 0.00031, 0.00031, 0.00031, 0.00031, 0.00032, 0.00015, 0.00006, 0.00205, 0.00332, 0.00380, 0.00336, 0.00205, 0.00016, 0.00005, 0.00011, 0.00011, 0.00011, 0.00011, 0.00011, 0.00005, 0.00164, 0.00165, 0.00165, + 0.00165, 0.00164, 0.00053, 0.00053, 0.00059, 0.00062, 0.00059, 0.00053, 0.00046, 0.00043, 0.00046, 0.00052, 0.00060, 0.00066, 0.00070, 0.00072, 0.00070, 0.00066, 0.00060, 0.00052, 0.00045, 0.00039, 0.00035, 0.00033, 0.00035, 0.00039, 0.00045, 0.00052, 0.00061, 0.00070, 0.00076, 0.00081, 0.00082, 0.00081, 0.00076, 0.00070, 0.00061, 0.00052, 0.00043, 0.00034, 0.00028, + 0.00023, 0.00022, 0.00023, 0.00028, 0.00034, 0.00043, 0.00051, 0.00062, 0.00073, 0.00082, 0.00088, 0.00093, 0.00094, 0.00093, 0.00088, 0.00082, 0.00073, 0.00062, 0.00051, 0.00040, 0.00030, 0.00021, 0.00014, 0.00010, 0.00008, 0.00010, 0.00014, 0.00021, 0.00030, 0.00040, 0.00049, 0.00064, 0.00078, 0.00090, 0.00100, 0.00105, 0.00107, 0.00105, 0.00100, 0.00090, 0.00078, + 0.00064, 0.00049, 0.00034, 0.00020, 0.00008, 0.00022, 0.00106, 0.00134, 0.00106, 0.00022, 0.00008, 0.00020, 0.00034, 0.00044, 0.00064, 0.00082, 0.00096, 12.95800, 0.00092, 0.00092, 0.00092, 0.00094, 0.00096, 0.00082, 0.00064, 0.00044, 0.00024, 0.00006, 0.00142, 0.00315, 0.00424, 0.00461, 0.00424, 0.00315, 0.00142, 0.00006, 0.00024, 0.00034, 0.00069, 0.00070, 0.00069, + 0.00069, 0.00069, 0.00070, 0.00070, 0.00034, 0.00014, 0.00456, 0.00739, 0.00845, 0.00748, 0.00456, 0.00036, 0.00012, 0.00024, 0.00024, 0.00024, 0.00024, 0.00024, 0.00012, 0.00366, 0.00366, 0.00366, 0.00366, 0.00366, 0.00071, 0.00071, 0.00080, 0.00083, 0.00080, 0.00071, 0.00062, 0.00058, 0.00062, 0.00071, 0.00080, 0.00089, 0.00094, 0.00096, 0.00094, 0.00089, 0.00081, + 0.00071, 0.00061, 0.00052, 0.00047, 0.00045, 0.00047, 0.00052, 0.00061, 0.00070, 0.00083, 0.00094, 0.00103, 0.00109, 0.00111, 0.00109, 0.00103, 0.00094, 0.00083, 0.00070, 0.00058, 0.00046, 0.00037, 0.00032, 0.00030, 0.00032, 0.00037, 0.00046, 0.00058, 0.00069, 0.00084, 0.00098, 0.00110, 0.00119, 0.00125, 0.00127, 0.00125, 0.00119, 0.00110, 0.00098, 0.00084, 0.00069, + 0.00054, 0.00040, 0.00028, 0.00019, 0.00013, 0.00011, 0.00013, 0.00019, 0.00028, 0.00040, 0.00054, 0.00066, 0.00086, 0.00105, 0.00122, 0.00134, 0.00142, 0.00145, 0.00142, 0.00134, 0.00122, 0.00105, 0.00086, 0.00066, 0.00046, 0.00027, 0.00010, 0.00030, 0.00142, 0.00181, 0.00142, 0.00030, 0.00010, 0.00027, 0.00046, 0.00059, 0.00086, 0.00111, 0.00130, 0.00126, 12.95830, + 0.00123, 0.00124, 0.00126, 0.00130, 0.00111, 0.00086, 0.00059, 0.00033, 0.00008, 0.00190, 0.00424, 0.00570, 0.00620, 0.00570, 0.00424, 0.00190, 0.00008, 0.00033, 0.00046, 0.00093, 0.00094, 0.00093, 0.00092, 0.00093, 0.00094, 0.00095, 0.00046, 0.00019, 0.00614, 0.00995, 0.01137, 0.01007, 0.00614, 0.00048, 0.00016, 0.00032, 0.00033, 0.00033, 0.00033, 0.00032, 0.00016, + 0.00492, 0.00493, 0.00493, 0.00493, 0.00492, 0.00077, 0.00077, 0.00087, 0.00091, 0.00087, 0.00077, 0.00067, 0.00063, 0.00067, 0.00077, 0.00087, 0.00097, 0.00103, 0.00105, 0.00103, 0.00097, 0.00088, 0.00077, 0.00066, 0.00057, 0.00051, 0.00049, 0.00051, 0.00057, 0.00066, 0.00076, 0.00090, 0.00102, 0.00112, 0.00118, 0.00120, 0.00118, 0.00112, 0.00102, 0.00090, 0.00076, + 0.00063, 0.00050, 0.00041, 0.00034, 0.00032, 0.00034, 0.00041, 0.00050, 0.00063, 0.00075, 0.00091, 0.00106, 0.00119, 0.00129, 0.00136, 0.00138, 0.00136, 0.00129, 0.00119, 0.00106, 0.00091, 0.00075, 0.00059, 0.00043, 0.00030, 0.00020, 0.00014, 0.00012, 0.00014, 0.00020, 0.00030, 0.00043, 0.00059, 0.00072, 0.00094, 0.00115, 0.00132, 0.00146, 0.00154, 0.00157, 0.00154, + 0.00146, 0.00132, 0.00115, 0.00094, 0.00072, 0.00050, 0.00029, 0.00011, 0.00033, 0.00155, 0.00196, 0.00155, 0.00033, 0.00011, 0.00029, 0.00050, 0.00065, 0.00094, 0.00121, 0.00141, 0.00137, 0.00135, 12.95840, 0.00135, 0.00137, 0.00141, 0.00121, 0.00094, 0.00065, 0.00036, 0.00009, 0.00207, 0.00461, 0.00620, 0.00675, 0.00620, 0.00461, 0.00207, 0.00009, 0.00036, 0.00050, + 0.00101, 0.00102, 0.00101, 0.00101, 0.00101, 0.00102, 0.00103, 0.00050, 0.00021, 0.00667, 0.01082, 0.01237, 0.01095, 0.00667, 0.00052, 0.00017, 0.00035, 0.00036, 0.00036, 0.00036, 0.00035, 0.00017, 0.00536, 0.00536, 0.00536, 0.00536, 0.00536, 0.00071, 0.00071, 0.00080, 0.00083, 0.00080, 0.00071, 0.00062, 0.00058, 0.00062, 0.00071, 0.00080, 0.00089, 0.00094, 0.00096, + 0.00094, 0.00089, 0.00081, 0.00071, 0.00061, 0.00052, 0.00047, 0.00045, 0.00047, 0.00052, 0.00061, 0.00070, 0.00083, 0.00094, 0.00103, 0.00109, 0.00111, 0.00109, 0.00103, 0.00094, 0.00083, 0.00070, 0.00058, 0.00046, 0.00037, 0.00032, 0.00030, 0.00032, 0.00037, 0.00046, 0.00058, 0.00069, 0.00084, 0.00098, 0.00110, 0.00119, 0.00125, 0.00127, 0.00125, 0.00119, 0.00110, + 0.00098, 0.00084, 0.00069, 0.00054, 0.00040, 0.00028, 0.00019, 0.00013, 0.00011, 0.00013, 0.00019, 0.00028, 0.00040, 0.00054, 0.00066, 0.00086, 0.00105, 0.00122, 0.00134, 0.00142, 0.00145, 0.00142, 0.00134, 0.00122, 0.00105, 0.00086, 0.00066, 0.00046, 0.00027, 0.00010, 0.00030, 0.00142, 0.00181, 0.00142, 0.00030, 0.00010, 0.00027, 0.00046, 0.00059, 0.00086, 0.00111, + 0.00130, 0.00126, 0.00124, 0.00123, 12.95830, 0.00126, 0.00130, 0.00111, 0.00086, 0.00059, 0.00033, 0.00008, 0.00190, 0.00424, 0.00570, 0.00620, 0.00570, 0.00424, 0.00190, 0.00008, 0.00033, 0.00046, 0.00093, 0.00094, 0.00093, 0.00092, 0.00093, 0.00094, 0.00095, 0.00046, 0.00019, 0.00614, 0.00995, 0.01137, 0.01007, 0.00614, 0.00048, 0.00016, 0.00032, 0.00033, 0.00033, + 0.00033, 0.00032, 0.00016, 0.00492, 0.00493, 0.00493, 0.00493, 0.00492, 0.00053, 0.00053, 0.00059, 0.00062, 0.00059, 0.00053, 0.00046, 0.00043, 0.00046, 0.00052, 0.00060, 0.00066, 0.00070, 0.00072, 0.00070, 0.00066, 0.00060, 0.00052, 0.00045, 0.00039, 0.00035, 0.00033, 0.00035, 0.00039, 0.00045, 0.00052, 0.00061, 0.00070, 0.00076, 0.00081, 0.00082, 0.00081, 0.00076, + 0.00070, 0.00061, 0.00052, 0.00043, 0.00034, 0.00028, 0.00023, 0.00022, 0.00023, 0.00028, 0.00034, 0.00043, 0.00051, 0.00062, 0.00073, 0.00082, 0.00088, 0.00093, 0.00094, 0.00093, 0.00088, 0.00082, 0.00073, 0.00062, 0.00051, 0.00040, 0.00030, 0.00021, 0.00014, 0.00010, 0.00008, 0.00010, 0.00014, 0.00021, 0.00030, 0.00040, 0.00049, 0.00064, 0.00078, 0.00090, 0.00100, + 0.00105, 0.00107, 0.00105, 0.00100, 0.00090, 0.00078, 0.00064, 0.00049, 0.00034, 0.00020, 0.00008, 0.00022, 0.00106, 0.00134, 0.00106, 0.00022, 0.00008, 0.00020, 0.00034, 0.00044, 0.00064, 0.00082, 0.00096, 0.00094, 0.00092, 0.00092, 0.00092, 12.95800, 0.00096, 0.00082, 0.00064, 0.00044, 0.00024, 0.00006, 0.00142, 0.00315, 0.00424, 0.00461, 0.00424, 0.00315, 0.00142, + 0.00006, 0.00024, 0.00034, 0.00069, 0.00070, 0.00069, 0.00069, 0.00069, 0.00070, 0.00070, 0.00034, 0.00014, 0.00456, 0.00739, 0.00845, 0.00748, 0.00456, 0.00036, 0.00012, 0.00024, 0.00024, 0.00024, 0.00024, 0.00024, 0.00012, 0.00366, 0.00366, 0.00366, 0.00366, 0.00366, 0.00024, 0.00024, 0.00027, 0.00028, 0.00027, 0.00024, 0.00021, 0.00019, 0.00021, 0.00024, 0.00027, + 0.00030, 0.00031, 0.00032, 0.00032, 0.00030, 0.00027, 0.00024, 0.00020, 0.00018, 0.00016, 0.00015, 0.00016, 0.00018, 0.00020, 0.00023, 0.00028, 0.00031, 0.00034, 0.00036, 0.00037, 0.00036, 0.00034, 0.00031, 0.00028, 0.00023, 0.00019, 0.00015, 0.00012, 0.00011, 0.00010, 0.00011, 0.00012, 0.00015, 0.00019, 0.00023, 0.00028, 0.00033, 0.00037, 0.00040, 0.00042, 0.00042, + 0.00042, 0.00040, 0.00037, 0.00033, 0.00028, 0.00023, 0.00018, 0.00013, 0.00009, 0.00006, 0.00004, 0.00004, 0.00004, 0.00006, 0.00009, 0.00013, 0.00018, 0.00022, 0.00029, 0.00035, 0.00041, 0.00045, 0.00047, 0.00048, 0.00047, 0.00045, 0.00041, 0.00035, 0.00029, 0.00022, 0.00015, 0.00009, 0.00003, 0.00010, 0.00048, 0.00060, 0.00048, 0.00010, 0.00003, 0.00009, 0.00015, + 0.00020, 0.00029, 0.00037, 0.00043, 0.00042, 0.00041, 0.00041, 0.00041, 0.00042, 12.95749, 0.00037, 0.00029, 0.00020, 0.00011, 0.00003, 0.00064, 0.00142, 0.00190, 0.00207, 0.00190, 0.00142, 0.00064, 0.00003, 0.00011, 0.00015, 0.00031, 0.00031, 0.00031, 0.00031, 0.00031, 0.00031, 0.00032, 0.00015, 0.00006, 0.00205, 0.00332, 0.00380, 0.00336, 0.00205, 0.00016, 0.00005, + 0.00011, 0.00011, 0.00011, 0.00011, 0.00011, 0.00005, 0.00164, 0.00165, 0.00165, 0.00165, 0.00164, 0.00203, 0.00203, 0.00228, 0.00239, 0.00228, 0.00203, 0.00178, 0.00167, 0.00178, 0.00203, 0.00230, 0.00255, 0.00270, 0.00276, 0.00271, 0.00255, 0.00231, 0.00203, 0.00175, 0.00150, 0.00135, 0.00129, 0.00134, 0.00150, 0.00174, 0.00201, 0.00237, 0.00269, 0.00295, 0.00312, + 0.00317, 0.00312, 0.00295, 0.00269, 0.00237, 0.00201, 0.00165, 0.00133, 0.00107, 0.00091, 0.00085, 0.00091, 0.00107, 0.00133, 0.00165, 0.00198, 0.00241, 0.00281, 0.00315, 0.00341, 0.00358, 0.00363, 0.00358, 0.00341, 0.00315, 0.00281, 0.00241, 0.00198, 0.00155, 0.00115, 0.00080, 0.00054, 0.00037, 0.00032, 0.00037, 0.00054, 0.00080, 0.00115, 0.00155, 0.00189, 0.00248, + 0.00302, 0.00349, 0.00385, 0.00407, 0.00415, 0.00407, 0.00385, 0.00349, 0.00302, 0.00248, 0.00189, 0.00131, 0.00077, 0.00030, 0.00000, 0.00002, 0.00003, 0.00002, 0.00000, 0.00030, 0.00077, 0.00131, 0.00170, 0.00247, 0.00318, 0.00374, 0.00373, 0.00373, 0.00373, 0.00373, 0.00373, 0.00374, 12.96024, 0.00247, 0.00170, 0.00094, 0.00023, 0.00003, 0.00006, 0.00008, 0.00009, + 0.00008, 0.00006, 0.00003, 0.00023, 0.00094, 0.00131, 0.00265, 0.00287, 0.00287, 0.00287, 0.00287, 0.00287, 0.00271, 0.00131, 0.00000, 0.00009, 0.00014, 0.00016, 0.00014, 0.00009, 0.00001, 0.00045, 0.00099, 0.00099, 0.00099, 0.00099, 0.00099, 0.00045, 0.00008, 0.00010, 0.00010, 0.00010, 0.00008, 0.00837, 0.00837, 0.00941, 0.00984, 0.00941, 0.00837, 0.00732, 0.00689, + 0.00732, 0.00834, 0.00948, 0.01049, 0.01114, 0.01138, 0.01116, 0.01049, 0.00953, 0.00834, 0.00721, 0.00620, 0.00555, 0.00531, 0.00553, 0.00620, 0.00716, 0.00828, 0.00976, 0.01110, 0.01215, 0.01283, 0.01307, 0.01283, 0.01215, 0.01110, 0.00976, 0.00828, 0.00681, 0.00547, 0.00441, 0.00374, 0.00350, 0.00374, 0.00441, 0.00547, 0.00681, 0.00814, 0.00991, 0.01155, 0.01297, + 0.01405, 0.01474, 0.01497, 0.01474, 0.01405, 0.01297, 0.01155, 0.00991, 0.00814, 0.00637, 0.00472, 0.00331, 0.00222, 0.00154, 0.00131, 0.00154, 0.00222, 0.00331, 0.00472, 0.00637, 0.00780, 0.01020, 0.01244, 0.01437, 0.01584, 0.01677, 0.01709, 0.01677, 0.01584, 0.01437, 0.01244, 0.01020, 0.00780, 0.00539, 0.00315, 0.00123, 0.00002, 0.00008, 0.00010, 0.00008, 0.00002, + 0.00123, 0.00315, 0.00539, 0.00702, 0.01016, 0.01309, 0.01538, 0.01538, 0.01538, 0.01538, 0.01538, 0.01538, 0.01538, 0.01309, 12.96722, 0.00702, 0.00387, 0.00094, 0.00011, 0.00024, 0.00033, 0.00036, 0.00033, 0.00024, 0.00011, 0.00094, 0.00387, 0.00539, 0.01093, 0.01181, 0.01181, 0.01181, 0.01181, 0.01181, 0.01117, 0.00539, 0.00001, 0.00035, 0.00057, 0.00065, 0.00058, + 0.00035, 0.00003, 0.00186, 0.00407, 0.00407, 0.00407, 0.00407, 0.00407, 0.00186, 0.00032, 0.00041, 0.00041, 0.00041, 0.00032, 0.01517, 0.01516, 0.01705, 0.01784, 0.01705, 0.01516, 0.01327, 0.01249, 0.01327, 0.01512, 0.01719, 0.01902, 0.02019, 0.02063, 0.02023, 0.01902, 0.01727, 0.01512, 0.01306, 0.01123, 0.01006, 0.00962, 0.01002, 0.01123, 0.01297, 0.01502, 0.01769, + 0.02011, 0.02203, 0.02326, 0.02369, 0.02326, 0.02203, 0.02011, 0.01769, 0.01502, 0.01234, 0.00992, 0.00800, 0.00677, 0.00635, 0.00677, 0.00800, 0.00992, 0.01234, 0.01475, 0.01796, 0.02094, 0.02351, 0.02547, 0.02671, 0.02713, 0.02671, 0.02547, 0.02351, 0.02094, 0.01796, 0.01475, 0.01155, 0.00856, 0.00600, 0.00403, 0.00280, 0.00237, 0.00280, 0.00403, 0.00600, 0.00856, + 0.01155, 0.01413, 0.01849, 0.02255, 0.02604, 0.02872, 0.03040, 0.03097, 0.03040, 0.02872, 0.02604, 0.02255, 0.01849, 0.01413, 0.00977, 0.00571, 0.00222, 0.00003, 0.00015, 0.00019, 0.00015, 0.00003, 0.00222, 0.00571, 0.00977, 0.01272, 0.01842, 0.02373, 0.02788, 0.02788, 0.02787, 0.02787, 0.02787, 0.02788, 0.02788, 0.02373, 0.01842, 12.96978, 0.00702, 0.00170, 0.00020, + 0.00044, 0.00059, 0.00065, 0.00059, 0.00044, 0.00020, 0.00170, 0.00702, 0.00977, 0.01982, 0.02140, 0.02140, 0.02140, 0.02140, 0.02140, 0.02025, 0.00977, 0.00002, 0.00064, 0.00104, 0.00118, 0.00105, 0.00064, 0.00005, 0.00337, 0.00738, 0.00738, 0.00738, 0.00738, 0.00738, 0.00337, 0.00058, 0.00074, 0.00075, 0.00074, 0.00058, 0.02198, 0.02196, 0.02470, 0.02583, 0.02470, + 0.02196, 0.01922, 0.01809, 0.01922, 0.02190, 0.02489, 0.02754, 0.02924, 0.02987, 0.02929, 0.02754, 0.02502, 0.02190, 0.01892, 0.01627, 0.01456, 0.01393, 0.01451, 0.01627, 0.01879, 0.02175, 0.02563, 0.02913, 0.03190, 0.03369, 0.03430, 0.03369, 0.03190, 0.02913, 0.02563, 0.02175, 0.01787, 0.01437, 0.01159, 0.00981, 0.00919, 0.00981, 0.01159, 0.01437, 0.01787, 0.02137, + 0.02601, 0.03033, 0.03404, 0.03689, 0.03868, 0.03929, 0.03868, 0.03689, 0.03404, 0.03033, 0.02601, 0.02137, 0.01673, 0.01240, 0.00869, 0.00584, 0.00405, 0.00344, 0.00405, 0.00584, 0.00869, 0.01240, 0.01673, 0.02047, 0.02678, 0.03266, 0.03771, 0.04159, 0.04403, 0.04486, 0.04403, 0.04159, 0.03771, 0.03266, 0.02678, 0.02047, 0.01415, 0.00827, 0.00322, 0.00005, 0.00021, + 0.00027, 0.00021, 0.00005, 0.00322, 0.00827, 0.01415, 0.01842, 0.02668, 0.03437, 0.04038, 0.04037, 0.04037, 0.04037, 0.04037, 0.04037, 0.04038, 0.03437, 0.02668, 0.01842, 12.96722, 0.00247, 0.00029, 0.00064, 0.00086, 0.00094, 0.00086, 0.00064, 0.00029, 0.00247, 0.01016, 0.01414, 0.02870, 0.03099, 0.03099, 0.03099, 0.03099, 0.03099, 0.02933, 0.01414, 0.00003, 0.00093, + 0.00150, 0.00171, 0.00152, 0.00093, 0.00007, 0.00488, 0.01069, 0.01069, 0.01070, 0.01069, 0.01069, 0.00488, 0.00084, 0.00107, 0.00109, 0.00107, 0.00084, 0.02832, 0.02830, 0.03182, 0.03329, 0.03182, 0.02830, 0.02477, 0.02331, 0.02477, 0.02822, 0.03207, 0.03548, 0.03768, 0.03849, 0.03774, 0.03548, 0.03223, 0.02822, 0.02437, 0.02096, 0.01877, 0.01795, 0.01870, 0.02096, + 0.02421, 0.02802, 0.03302, 0.03753, 0.04111, 0.04341, 0.04420, 0.04341, 0.04111, 0.03753, 0.03302, 0.02802, 0.02302, 0.01851, 0.01493, 0.01263, 0.01184, 0.01263, 0.01493, 0.01851, 0.02302, 0.02753, 0.03351, 0.03908, 0.04386, 0.04753, 0.04984, 0.05063, 0.04984, 0.04753, 0.04386, 0.03908, 0.03351, 0.02753, 0.02155, 0.01598, 0.01119, 0.00752, 0.00522, 0.00443, 0.00522, + 0.00752, 0.01119, 0.01598, 0.02155, 0.02637, 0.03450, 0.04208, 0.04859, 0.05358, 0.05672, 0.05779, 0.05672, 0.05358, 0.04859, 0.04208, 0.03450, 0.02637, 0.01824, 0.01066, 0.00415, 0.00006, 0.00028, 0.00035, 0.00028, 0.00006, 0.00415, 0.01066, 0.01824, 0.02373, 0.03437, 0.04429, 0.05202, 0.05202, 0.05201, 0.05201, 0.05201, 0.05202, 0.05202, 0.04429, 0.03437, 0.02373, + 0.01309, 12.96024, 0.00037, 0.00082, 0.00111, 0.00121, 0.00111, 0.00082, 0.00037, 0.00318, 0.01309, 0.01822, 0.03698, 0.03993, 0.03993, 0.03993, 0.03993, 0.03993, 0.03778, 0.01822, 0.00004, 0.00119, 0.00193, 0.00221, 0.00196, 0.00119, 0.00009, 0.00629, 0.01378, 0.01378, 0.01378, 0.01378, 0.01378, 0.00629, 0.00108, 0.00138, 0.00140, 0.00138, 0.00108, 0.03326, 0.03324, + 0.03738, 0.03910, 0.03738, 0.03324, 0.02910, 0.02738, 0.02910, 0.03315, 0.03767, 0.04168, 0.04426, 0.04522, 0.04434, 0.04168, 0.03786, 0.03315, 0.02863, 0.02462, 0.02204, 0.02108, 0.02196, 0.02462, 0.02844, 0.03291, 0.03879, 0.04408, 0.04829, 0.05099, 0.05192, 0.05099, 0.04829, 0.04408, 0.03879, 0.03291, 0.02704, 0.02174, 0.01754, 0.01484, 0.01391, 0.01484, 0.01754, + 0.02174, 0.02704, 0.03234, 0.03936, 0.04590, 0.05152, 0.05584, 0.05855, 0.05947, 0.05855, 0.05584, 0.05152, 0.04590, 0.03936, 0.03234, 0.02531, 0.01877, 0.01315, 0.00884, 0.00613, 0.00520, 0.00613, 0.00884, 0.01315, 0.01877, 0.02531, 0.03098, 0.04053, 0.04943, 0.05708, 0.06294, 0.06663, 0.06789, 0.06663, 0.06294, 0.05708, 0.04943, 0.04053, 0.03098, 0.02142, 0.01252, + 0.00487, 0.00007, 0.00032, 0.00041, 0.00032, 0.00007, 0.00487, 0.01252, 0.02142, 0.02788, 0.04038, 0.05202, 0.06116, 0.06161, 0.06189, 0.06198, 0.06189, 0.06161, 0.06116, 0.05202, 0.04038, 0.02788, 0.01538, 0.00374, 12.95749, 0.00096, 0.00130, 0.00141, 0.00130, 0.00096, 0.00043, 0.00374, 0.01538, 0.02141, 0.04344, 0.04760, 0.04760, 0.04760, 0.04760, 0.04760, 0.04439, + 0.02141, 0.00004, 0.00140, 0.00226, 0.00259, 0.00229, 0.00140, 0.00011, 0.00738, 0.01642, 0.01642, 0.01643, 0.01642, 0.01642, 0.00738, 0.00126, 0.00161, 0.00164, 0.00161, 0.00126, 0.03326, 0.03324, 0.03738, 0.03910, 0.03738, 0.03324, 0.02909, 0.02737, 0.02909, 0.03315, 0.03767, 0.04168, 0.04425, 0.04521, 0.04433, 0.04168, 0.03786, 0.03315, 0.02863, 0.02462, 0.02204, + 0.02108, 0.02196, 0.02462, 0.02843, 0.03291, 0.03878, 0.04408, 0.04828, 0.05098, 0.05191, 0.05098, 0.04828, 0.04408, 0.03878, 0.03291, 0.02704, 0.02174, 0.01754, 0.01484, 0.01391, 0.01484, 0.01754, 0.02174, 0.02704, 0.03233, 0.03936, 0.04590, 0.05152, 0.05583, 0.05854, 0.05946, 0.05854, 0.05583, 0.05152, 0.04590, 0.03936, 0.03233, 0.02531, 0.01877, 0.01315, 0.00884, + 0.00613, 0.00520, 0.00613, 0.00884, 0.01315, 0.01877, 0.02531, 0.03097, 0.04052, 0.04943, 0.05707, 0.06294, 0.06662, 0.06788, 0.06662, 0.06294, 0.05707, 0.04943, 0.04052, 0.03097, 0.02142, 0.01252, 0.00487, 0.00007, 0.00031, 0.00040, 0.00031, 0.00007, 0.00487, 0.01252, 0.02142, 0.02788, 0.04037, 0.05202, 0.06161, 0.06585, 0.06852, 0.06942, 0.06852, 0.06585, 0.06161, + 0.05202, 0.04037, 0.02788, 0.01538, 0.00373, 0.00042, 12.95800, 0.00126, 0.00137, 0.00126, 0.00094, 0.00042, 0.00373, 0.01538, 0.02140, 0.04343, 0.05340, 0.05340, 0.05340, 0.05340, 0.05340, 0.04438, 0.02140, 0.00004, 0.00136, 0.00220, 0.00252, 0.00223, 0.00136, 0.00011, 0.00738, 0.01842, 0.01843, 0.01843, 0.01843, 0.01842, 0.00738, 0.00123, 0.00158, 0.00161, 0.00158, + 0.00123, 0.03326, 0.03323, 0.03738, 0.03909, 0.03738, 0.03323, 0.02909, 0.02737, 0.02909, 0.03314, 0.03766, 0.04167, 0.04425, 0.04521, 0.04433, 0.04167, 0.03786, 0.03314, 0.02862, 0.02461, 0.02204, 0.02108, 0.02196, 0.02461, 0.02843, 0.03291, 0.03878, 0.04407, 0.04828, 0.05098, 0.05191, 0.05098, 0.04828, 0.04407, 0.03878, 0.03291, 0.02704, 0.02174, 0.01754, 0.01484, + 0.01391, 0.01484, 0.01754, 0.02174, 0.02704, 0.03233, 0.03935, 0.04589, 0.05151, 0.05582, 0.05853, 0.05946, 0.05853, 0.05582, 0.05151, 0.04589, 0.03935, 0.03233, 0.02531, 0.01877, 0.01315, 0.00884, 0.00613, 0.00520, 0.00613, 0.00884, 0.01315, 0.01877, 0.02531, 0.03097, 0.04052, 0.04942, 0.05707, 0.06293, 0.06662, 0.06788, 0.06662, 0.06293, 0.05707, 0.04942, 0.04052, + 0.03097, 0.02142, 0.01252, 0.00487, 0.00007, 0.00031, 0.00039, 0.00031, 0.00007, 0.00487, 0.01252, 0.02142, 0.02787, 0.04037, 0.05201, 0.06189, 0.06852, 0.07268, 0.07410, 0.07268, 0.06852, 0.06189, 0.05201, 0.04037, 0.02787, 0.01538, 0.00373, 0.00041, 0.00092, 12.95830, 0.00135, 0.00124, 0.00092, 0.00041, 0.00373, 0.01538, 0.02140, 0.04343, 0.05704, 0.05704, 0.05704, + 0.05704, 0.05704, 0.04438, 0.02140, 0.00004, 0.00133, 0.00216, 0.00247, 0.00219, 0.00133, 0.00010, 0.00738, 0.01968, 0.01968, 0.01968, 0.01968, 0.01968, 0.00738, 0.00121, 0.00157, 0.00160, 0.00157, 0.00121, 0.03325, 0.03323, 0.03737, 0.03909, 0.03737, 0.03323, 0.02909, 0.02737, 0.02909, 0.03314, 0.03766, 0.04167, 0.04425, 0.04521, 0.04433, 0.04167, 0.03786, 0.03314, + 0.02862, 0.02461, 0.02204, 0.02108, 0.02196, 0.02461, 0.02843, 0.03291, 0.03878, 0.04407, 0.04828, 0.05098, 0.05191, 0.05098, 0.04828, 0.04407, 0.03878, 0.03291, 0.02704, 0.02174, 0.01754, 0.01484, 0.01391, 0.01484, 0.01754, 0.02174, 0.02704, 0.03233, 0.03935, 0.04589, 0.05151, 0.05582, 0.05853, 0.05946, 0.05853, 0.05582, 0.05151, 0.04589, 0.03935, 0.03233, 0.02531, + 0.01877, 0.01315, 0.00884, 0.00613, 0.00520, 0.00613, 0.00884, 0.01315, 0.01877, 0.02531, 0.03097, 0.04052, 0.04942, 0.05706, 0.06293, 0.06662, 0.06787, 0.06662, 0.06293, 0.05706, 0.04942, 0.04052, 0.03097, 0.02142, 0.01251, 0.00487, 0.00007, 0.00031, 0.00039, 0.00031, 0.00007, 0.00487, 0.01251, 0.02142, 0.02787, 0.04037, 0.05201, 0.06198, 0.06942, 0.07410, 0.07570, + 0.07410, 0.06942, 0.06198, 0.05201, 0.04037, 0.02787, 0.01538, 0.00373, 0.00041, 0.00092, 0.00123, 12.95840, 0.00123, 0.00092, 0.00041, 0.00373, 0.01538, 0.02140, 0.04343, 0.05829, 0.05829, 0.05829, 0.05829, 0.05829, 0.04437, 0.02140, 0.00004, 0.00132, 0.00215, 0.00246, 0.00217, 0.00132, 0.00010, 0.00738, 0.02011, 0.02011, 0.02011, 0.02011, 0.02011, 0.00738, 0.00121, + 0.00156, 0.00159, 0.00156, 0.00121, 0.03326, 0.03323, 0.03738, 0.03909, 0.03738, 0.03323, 0.02909, 0.02737, 0.02909, 0.03314, 0.03766, 0.04167, 0.04425, 0.04521, 0.04433, 0.04167, 0.03786, 0.03314, 0.02862, 0.02461, 0.02204, 0.02108, 0.02196, 0.02461, 0.02843, 0.03291, 0.03878, 0.04407, 0.04828, 0.05098, 0.05191, 0.05098, 0.04828, 0.04407, 0.03878, 0.03291, 0.02704, + 0.02174, 0.01754, 0.01484, 0.01391, 0.01484, 0.01754, 0.02174, 0.02704, 0.03233, 0.03935, 0.04589, 0.05151, 0.05582, 0.05853, 0.05946, 0.05853, 0.05582, 0.05151, 0.04589, 0.03935, 0.03233, 0.02531, 0.01877, 0.01315, 0.00884, 0.00613, 0.00520, 0.00613, 0.00884, 0.01315, 0.01877, 0.02531, 0.03097, 0.04052, 0.04942, 0.05707, 0.06293, 0.06662, 0.06788, 0.06662, 0.06293, + 0.05707, 0.04942, 0.04052, 0.03097, 0.02142, 0.01252, 0.00487, 0.00007, 0.00031, 0.00039, 0.00031, 0.00007, 0.00487, 0.01252, 0.02142, 0.02787, 0.04037, 0.05201, 0.06189, 0.06852, 0.07268, 0.07410, 0.07268, 0.06852, 0.06189, 0.05201, 0.04037, 0.02787, 0.01538, 0.00373, 0.00041, 0.00092, 0.00124, 0.00135, 12.95830, 0.00092, 0.00041, 0.00373, 0.01538, 0.02140, 0.04343, + 0.05704, 0.05704, 0.05704, 0.05704, 0.05704, 0.04438, 0.02140, 0.00004, 0.00133, 0.00216, 0.00247, 0.00219, 0.00133, 0.00010, 0.00738, 0.01968, 0.01968, 0.01968, 0.01968, 0.01968, 0.00738, 0.00121, 0.00157, 0.00160, 0.00157, 0.00121, 0.03326, 0.03324, 0.03738, 0.03910, 0.03738, 0.03324, 0.02909, 0.02737, 0.02909, 0.03315, 0.03767, 0.04168, 0.04425, 0.04521, 0.04433, + 0.04168, 0.03786, 0.03315, 0.02863, 0.02462, 0.02204, 0.02108, 0.02196, 0.02462, 0.02843, 0.03291, 0.03878, 0.04408, 0.04828, 0.05098, 0.05191, 0.05098, 0.04828, 0.04408, 0.03878, 0.03291, 0.02704, 0.02174, 0.01754, 0.01484, 0.01391, 0.01484, 0.01754, 0.02174, 0.02704, 0.03233, 0.03936, 0.04590, 0.05152, 0.05583, 0.05854, 0.05946, 0.05854, 0.05583, 0.05152, 0.04590, + 0.03936, 0.03233, 0.02531, 0.01877, 0.01315, 0.00884, 0.00613, 0.00520, 0.00613, 0.00884, 0.01315, 0.01877, 0.02531, 0.03097, 0.04052, 0.04943, 0.05707, 0.06294, 0.06662, 0.06788, 0.06662, 0.06294, 0.05707, 0.04943, 0.04052, 0.03097, 0.02142, 0.01252, 0.00487, 0.00007, 0.00031, 0.00040, 0.00031, 0.00007, 0.00487, 0.01252, 0.02142, 0.02788, 0.04037, 0.05202, 0.06161, + 0.06585, 0.06852, 0.06942, 0.06852, 0.06585, 0.06161, 0.05202, 0.04037, 0.02788, 0.01538, 0.00373, 0.00042, 0.00094, 0.00126, 0.00137, 0.00126, 12.95800, 0.00042, 0.00373, 0.01538, 0.02140, 0.04343, 0.05340, 0.05340, 0.05340, 0.05340, 0.05340, 0.04438, 0.02140, 0.00004, 0.00136, 0.00220, 0.00252, 0.00223, 0.00136, 0.00011, 0.00738, 0.01842, 0.01843, 0.01843, 0.01843, + 0.01842, 0.00738, 0.00123, 0.00158, 0.00161, 0.00158, 0.00123, 0.03326, 0.03324, 0.03738, 0.03910, 0.03738, 0.03324, 0.02910, 0.02738, 0.02910, 0.03315, 0.03767, 0.04168, 0.04426, 0.04522, 0.04434, 0.04168, 0.03786, 0.03315, 0.02863, 0.02462, 0.02204, 0.02108, 0.02196, 0.02462, 0.02844, 0.03291, 0.03879, 0.04408, 0.04829, 0.05099, 0.05192, 0.05099, 0.04829, 0.04408, + 0.03879, 0.03291, 0.02704, 0.02174, 0.01754, 0.01484, 0.01391, 0.01484, 0.01754, 0.02174, 0.02704, 0.03234, 0.03936, 0.04590, 0.05152, 0.05584, 0.05855, 0.05947, 0.05855, 0.05584, 0.05152, 0.04590, 0.03936, 0.03234, 0.02531, 0.01877, 0.01315, 0.00884, 0.00613, 0.00520, 0.00613, 0.00884, 0.01315, 0.01877, 0.02531, 0.03098, 0.04053, 0.04943, 0.05708, 0.06294, 0.06663, + 0.06789, 0.06663, 0.06294, 0.05708, 0.04943, 0.04053, 0.03098, 0.02142, 0.01252, 0.00487, 0.00007, 0.00032, 0.00041, 0.00032, 0.00007, 0.00487, 0.01252, 0.02142, 0.02788, 0.04038, 0.05202, 0.06116, 0.06161, 0.06189, 0.06198, 0.06189, 0.06161, 0.06116, 0.05202, 0.04038, 0.02788, 0.01538, 0.00374, 0.00043, 0.00096, 0.00130, 0.00141, 0.00130, 0.00096, 12.95749, 0.00374, + 0.01538, 0.02141, 0.04344, 0.04760, 0.04760, 0.04760, 0.04760, 0.04760, 0.04439, 0.02141, 0.00004, 0.00140, 0.00226, 0.00259, 0.00229, 0.00140, 0.00011, 0.00738, 0.01642, 0.01642, 0.01643, 0.01642, 0.01642, 0.00738, 0.00126, 0.00161, 0.00164, 0.00161, 0.00126, 0.02832, 0.02830, 0.03182, 0.03329, 0.03182, 0.02830, 0.02477, 0.02331, 0.02477, 0.02822, 0.03207, 0.03548, + 0.03768, 0.03849, 0.03774, 0.03548, 0.03223, 0.02822, 0.02437, 0.02096, 0.01877, 0.01795, 0.01870, 0.02096, 0.02421, 0.02802, 0.03302, 0.03753, 0.04111, 0.04341, 0.04420, 0.04341, 0.04111, 0.03753, 0.03302, 0.02802, 0.02302, 0.01851, 0.01493, 0.01263, 0.01184, 0.01263, 0.01493, 0.01851, 0.02302, 0.02753, 0.03351, 0.03908, 0.04386, 0.04753, 0.04984, 0.05063, 0.04984, + 0.04753, 0.04386, 0.03908, 0.03351, 0.02753, 0.02155, 0.01598, 0.01119, 0.00752, 0.00522, 0.00443, 0.00522, 0.00752, 0.01119, 0.01598, 0.02155, 0.02637, 0.03450, 0.04208, 0.04859, 0.05358, 0.05672, 0.05779, 0.05672, 0.05358, 0.04859, 0.04208, 0.03450, 0.02637, 0.01824, 0.01066, 0.00415, 0.00006, 0.00028, 0.00035, 0.00028, 0.00006, 0.00415, 0.01066, 0.01824, 0.02373, + 0.03437, 0.04429, 0.05202, 0.05202, 0.05201, 0.05201, 0.05201, 0.05202, 0.05202, 0.04429, 0.03437, 0.02373, 0.01309, 0.00318, 0.00037, 0.00082, 0.00111, 0.00121, 0.00111, 0.00082, 0.00037, 12.96024, 0.01309, 0.01822, 0.03698, 0.03993, 0.03993, 0.03993, 0.03993, 0.03993, 0.03778, 0.01822, 0.00004, 0.00119, 0.00193, 0.00221, 0.00196, 0.00119, 0.00009, 0.00629, 0.01378, + 0.01378, 0.01378, 0.01378, 0.01378, 0.00629, 0.00108, 0.00138, 0.00140, 0.00138, 0.00108, 0.02198, 0.02196, 0.02470, 0.02583, 0.02470, 0.02196, 0.01922, 0.01809, 0.01922, 0.02190, 0.02489, 0.02754, 0.02924, 0.02987, 0.02929, 0.02754, 0.02502, 0.02190, 0.01892, 0.01627, 0.01456, 0.01393, 0.01451, 0.01627, 0.01879, 0.02175, 0.02563, 0.02913, 0.03190, 0.03369, 0.03430, + 0.03369, 0.03190, 0.02913, 0.02563, 0.02175, 0.01787, 0.01437, 0.01159, 0.00981, 0.00919, 0.00981, 0.01159, 0.01437, 0.01787, 0.02137, 0.02601, 0.03033, 0.03404, 0.03689, 0.03868, 0.03929, 0.03868, 0.03689, 0.03404, 0.03033, 0.02601, 0.02137, 0.01673, 0.01240, 0.00869, 0.00584, 0.00405, 0.00344, 0.00405, 0.00584, 0.00869, 0.01240, 0.01673, 0.02047, 0.02678, 0.03266, + 0.03771, 0.04159, 0.04403, 0.04486, 0.04403, 0.04159, 0.03771, 0.03266, 0.02678, 0.02047, 0.01415, 0.00827, 0.00322, 0.00005, 0.00021, 0.00027, 0.00021, 0.00005, 0.00322, 0.00827, 0.01415, 0.01842, 0.02668, 0.03437, 0.04038, 0.04037, 0.04037, 0.04037, 0.04037, 0.04037, 0.04038, 0.03437, 0.02668, 0.01842, 0.01016, 0.00247, 0.00029, 0.00064, 0.00086, 0.00094, 0.00086, + 0.00064, 0.00029, 0.00247, 12.96722, 0.01414, 0.02870, 0.03099, 0.03099, 0.03099, 0.03099, 0.03099, 0.02933, 0.01414, 0.00003, 0.00093, 0.00150, 0.00171, 0.00152, 0.00093, 0.00007, 0.00488, 0.01069, 0.01069, 0.01070, 0.01069, 0.01069, 0.00488, 0.00084, 0.00107, 0.00109, 0.00107, 0.00084, 0.01165, 0.01164, 0.01309, 0.01370, 0.01309, 0.01164, 0.01019, 0.00959, 0.01019, + 0.01161, 0.01319, 0.01460, 0.01550, 0.01584, 0.01553, 0.01460, 0.01326, 0.01161, 0.01003, 0.00862, 0.00772, 0.00739, 0.00769, 0.00862, 0.00996, 0.01153, 0.01359, 0.01544, 0.01691, 0.01786, 0.01818, 0.01786, 0.01691, 0.01544, 0.01359, 0.01153, 0.00947, 0.00762, 0.00614, 0.00520, 0.00487, 0.00520, 0.00614, 0.00762, 0.00947, 0.01133, 0.01379, 0.01608, 0.01805, 0.01956, + 0.02051, 0.02083, 0.02051, 0.01956, 0.01805, 0.01608, 0.01379, 0.01133, 0.00887, 0.00657, 0.00461, 0.00310, 0.00215, 0.00182, 0.00215, 0.00310, 0.00461, 0.00657, 0.00887, 0.01085, 0.01420, 0.01731, 0.01999, 0.02205, 0.02334, 0.02378, 0.02334, 0.02205, 0.01999, 0.01731, 0.01420, 0.01085, 0.00750, 0.00438, 0.00171, 0.00002, 0.00011, 0.00014, 0.00011, 0.00002, 0.00171, + 0.00438, 0.00750, 0.00977, 0.01414, 0.01822, 0.02141, 0.02140, 0.02140, 0.02140, 0.02140, 0.02140, 0.02141, 0.01822, 0.01414, 0.00977, 0.00539, 0.00131, 0.00015, 0.00034, 0.00046, 0.00050, 0.00046, 0.00034, 0.00015, 0.00131, 0.00539, 18.39304, 0.01522, 0.01643, 0.01643, 0.01643, 0.01643, 0.01643, 0.01555, 0.00750, 0.00002, 0.00049, 0.00080, 0.00091, 0.00081, 0.00049, + 0.00004, 0.00259, 0.00567, 0.00567, 0.00567, 0.00567, 0.00567, 0.00259, 0.00044, 0.00057, 0.00058, 0.00057, 0.00044, 0.00002, 0.00002, 0.00003, 0.00003, 0.00003, 0.00002, 0.00002, 0.00002, 0.00002, 0.00002, 0.00003, 0.00003, 0.00003, 0.00003, 0.00003, 0.00003, 0.00003, 0.00002, 0.00002, 0.00002, 0.00002, 0.00001, 0.00002, 0.00002, 0.00002, 0.00002, 0.00003, 0.00003, + 0.00003, 0.00004, 0.00004, 0.00004, 0.00003, 0.00003, 0.00003, 0.00002, 0.00002, 0.00002, 0.00001, 0.00001, 0.00001, 0.00001, 0.00001, 0.00002, 0.00002, 0.00002, 0.00003, 0.00003, 0.00004, 0.00004, 0.00004, 0.00004, 0.00004, 0.00004, 0.00004, 0.00003, 0.00003, 0.00002, 0.00002, 0.00001, 0.00001, 0.00001, 0.00000, 0.00000, 0.00000, 0.00001, 0.00001, 0.00001, 0.00002, + 0.00002, 0.00003, 0.00004, 0.00004, 0.00004, 0.00005, 0.00005, 0.00005, 0.00004, 0.00004, 0.00004, 0.00003, 0.00002, 0.00002, 0.00001, 0.00000, 0.00001, 0.00005, 0.00006, 0.00005, 0.00001, 0.00000, 0.00001, 0.00002, 0.00002, 0.00003, 0.00004, 0.00004, 0.00004, 0.00004, 0.00004, 0.00004, 0.00004, 0.00004, 0.00004, 0.00003, 0.00002, 0.00001, 0.00000, 0.00006, 0.00014, + 0.00019, 0.00021, 0.00019, 0.00014, 0.00006, 0.00000, 0.00001, 0.00002, 18.38558, 0.00003, 0.00003, 0.00003, 0.00003, 0.00003, 0.00003, 0.00002, 0.00001, 0.00020, 0.00033, 0.00038, 0.00034, 0.00020, 0.00002, 0.00001, 0.00001, 0.00001, 0.00001, 0.00001, 0.00001, 0.00001, 0.00016, 0.00016, 0.00016, 0.00016, 0.00016, 0.00076, 0.00076, 0.00086, 0.00090, 0.00086, 0.00076, + 0.00067, 0.00063, 0.00067, 0.00076, 0.00086, 0.00096, 0.00101, 0.00104, 0.00102, 0.00096, 0.00087, 0.00076, 0.00066, 0.00056, 0.00051, 0.00048, 0.00050, 0.00056, 0.00065, 0.00075, 0.00089, 0.00101, 0.00111, 0.00117, 0.00119, 0.00117, 0.00111, 0.00101, 0.00089, 0.00075, 0.00062, 0.00050, 0.00040, 0.00034, 0.00032, 0.00034, 0.00040, 0.00050, 0.00062, 0.00074, 0.00090, + 0.00105, 0.00118, 0.00128, 0.00134, 0.00136, 0.00134, 0.00128, 0.00118, 0.00105, 0.00090, 0.00074, 0.00058, 0.00043, 0.00030, 0.00020, 0.00014, 0.00012, 0.00014, 0.00020, 0.00030, 0.00043, 0.00058, 0.00071, 0.00093, 0.00113, 0.00131, 0.00144, 0.00153, 0.00156, 0.00153, 0.00144, 0.00131, 0.00113, 0.00093, 0.00071, 0.00049, 0.00029, 0.00011, 0.00032, 0.00153, 0.00194, + 0.00153, 0.00032, 0.00011, 0.00029, 0.00049, 0.00064, 0.00093, 0.00119, 0.00140, 0.00136, 0.00133, 0.00132, 0.00133, 0.00136, 0.00140, 0.00119, 0.00093, 0.00064, 0.00035, 0.00009, 0.00205, 0.00456, 0.00614, 0.00667, 0.00614, 0.00456, 0.00205, 0.00009, 0.00035, 0.00049, 0.00100, 18.38656, 0.00100, 0.00099, 0.00100, 0.00101, 0.00102, 0.00049, 0.00020, 0.00660, 0.01070, + 0.01223, 0.01083, 0.00660, 0.00051, 0.00017, 0.00035, 0.00035, 0.00035, 0.00035, 0.00035, 0.00017, 0.00530, 0.00531, 0.00531, 0.00531, 0.00530, 0.00124, 0.00124, 0.00139, 0.00145, 0.00139, 0.00124, 0.00108, 0.00102, 0.00108, 0.00123, 0.00140, 0.00155, 0.00164, 0.00168, 0.00165, 0.00155, 0.00141, 0.00123, 0.00106, 0.00091, 0.00082, 0.00078, 0.00082, 0.00091, 0.00106, + 0.00122, 0.00144, 0.00164, 0.00179, 0.00189, 0.00193, 0.00189, 0.00179, 0.00164, 0.00144, 0.00122, 0.00100, 0.00081, 0.00065, 0.00055, 0.00052, 0.00055, 0.00065, 0.00081, 0.00100, 0.00120, 0.00146, 0.00171, 0.00191, 0.00208, 0.00218, 0.00221, 0.00218, 0.00208, 0.00191, 0.00171, 0.00146, 0.00120, 0.00094, 0.00070, 0.00049, 0.00033, 0.00023, 0.00019, 0.00023, 0.00033, + 0.00049, 0.00070, 0.00094, 0.00115, 0.00151, 0.00184, 0.00212, 0.00234, 0.00248, 0.00252, 0.00248, 0.00234, 0.00212, 0.00184, 0.00151, 0.00115, 0.00080, 0.00047, 0.00018, 0.00053, 0.00248, 0.00315, 0.00248, 0.00053, 0.00018, 0.00047, 0.00080, 0.00104, 0.00150, 0.00193, 0.00226, 0.00220, 0.00216, 0.00215, 0.00216, 0.00220, 0.00226, 0.00193, 0.00150, 0.00104, 0.00057, + 0.00014, 0.00332, 0.00739, 0.00995, 0.01082, 0.00995, 0.00739, 0.00332, 0.00014, 0.00057, 0.00080, 0.00161, 0.00164, 18.38716, 0.00161, 0.00162, 0.00164, 0.00165, 0.00080, 0.00033, 0.01070, 0.01736, 0.01984, 0.01757, 0.01070, 0.00083, 0.00027, 0.00056, 0.00057, 0.00057, 0.00057, 0.00056, 0.00027, 0.00859, 0.00860, 0.00861, 0.00860, 0.00859, 0.00141, 0.00141, 0.00159, + 0.00166, 0.00159, 0.00141, 0.00124, 0.00116, 0.00124, 0.00141, 0.00160, 0.00177, 0.00188, 0.00192, 0.00188, 0.00177, 0.00161, 0.00141, 0.00122, 0.00105, 0.00094, 0.00090, 0.00093, 0.00105, 0.00121, 0.00140, 0.00165, 0.00187, 0.00205, 0.00217, 0.00220, 0.00217, 0.00205, 0.00187, 0.00165, 0.00140, 0.00115, 0.00092, 0.00074, 0.00063, 0.00059, 0.00063, 0.00074, 0.00092, + 0.00115, 0.00137, 0.00167, 0.00195, 0.00219, 0.00237, 0.00249, 0.00253, 0.00249, 0.00237, 0.00219, 0.00195, 0.00167, 0.00137, 0.00108, 0.00080, 0.00056, 0.00038, 0.00026, 0.00022, 0.00026, 0.00038, 0.00056, 0.00080, 0.00108, 0.00132, 0.00172, 0.00210, 0.00242, 0.00267, 0.00283, 0.00288, 0.00283, 0.00267, 0.00242, 0.00210, 0.00172, 0.00132, 0.00091, 0.00053, 0.00021, + 0.00060, 0.00284, 0.00360, 0.00284, 0.00060, 0.00021, 0.00053, 0.00091, 0.00118, 0.00171, 0.00221, 0.00259, 0.00252, 0.00247, 0.00246, 0.00247, 0.00252, 0.00259, 0.00221, 0.00171, 0.00118, 0.00065, 0.00016, 0.00380, 0.00845, 0.01137, 0.01237, 0.01137, 0.00845, 0.00380, 0.00016, 0.00065, 0.00091, 0.00185, 0.00187, 0.00185, 18.38739, 0.00185, 0.00187, 0.00189, 0.00091, + 0.00038, 0.01223, 0.01984, 0.02267, 0.02008, 0.01223, 0.00095, 0.00031, 0.00064, 0.00065, 0.00065, 0.00065, 0.00064, 0.00031, 0.00982, 0.00983, 0.00983, 0.00983, 0.00982, 0.00125, 0.00125, 0.00141, 0.00147, 0.00141, 0.00125, 0.00109, 0.00103, 0.00109, 0.00125, 0.00142, 0.00157, 0.00166, 0.00170, 0.00167, 0.00157, 0.00142, 0.00125, 0.00108, 0.00093, 0.00083, 0.00079, + 0.00083, 0.00093, 0.00107, 0.00124, 0.00146, 0.00166, 0.00182, 0.00192, 0.00195, 0.00192, 0.00182, 0.00166, 0.00146, 0.00124, 0.00102, 0.00082, 0.00066, 0.00056, 0.00052, 0.00056, 0.00066, 0.00082, 0.00102, 0.00122, 0.00148, 0.00173, 0.00194, 0.00210, 0.00220, 0.00224, 0.00220, 0.00210, 0.00194, 0.00173, 0.00148, 0.00122, 0.00095, 0.00071, 0.00049, 0.00033, 0.00023, + 0.00020, 0.00023, 0.00033, 0.00049, 0.00071, 0.00095, 0.00116, 0.00152, 0.00186, 0.00215, 0.00237, 0.00251, 0.00255, 0.00251, 0.00237, 0.00215, 0.00186, 0.00152, 0.00116, 0.00081, 0.00047, 0.00018, 0.00053, 0.00251, 0.00319, 0.00251, 0.00053, 0.00018, 0.00047, 0.00081, 0.00105, 0.00152, 0.00196, 0.00229, 0.00223, 0.00219, 0.00217, 0.00219, 0.00223, 0.00229, 0.00196, + 0.00152, 0.00105, 0.00058, 0.00014, 0.00336, 0.00748, 0.01007, 0.01095, 0.01007, 0.00748, 0.00336, 0.00014, 0.00058, 0.00081, 0.00163, 0.00166, 0.00164, 0.00163, 18.38718, 0.00166, 0.00167, 0.00081, 0.00034, 0.01083, 0.01757, 0.02008, 0.01778, 0.01083, 0.00084, 0.00028, 0.00057, 0.00058, 0.00058, 0.00058, 0.00057, 0.00028, 0.00869, 0.00871, 0.00871, 0.00871, 0.00869, + 0.00076, 0.00076, 0.00086, 0.00090, 0.00086, 0.00076, 0.00067, 0.00063, 0.00067, 0.00076, 0.00086, 0.00096, 0.00101, 0.00104, 0.00102, 0.00096, 0.00087, 0.00076, 0.00066, 0.00056, 0.00051, 0.00048, 0.00050, 0.00056, 0.00065, 0.00075, 0.00089, 0.00101, 0.00111, 0.00117, 0.00119, 0.00117, 0.00111, 0.00101, 0.00089, 0.00075, 0.00062, 0.00050, 0.00040, 0.00034, 0.00032, + 0.00034, 0.00040, 0.00050, 0.00062, 0.00074, 0.00090, 0.00105, 0.00118, 0.00128, 0.00134, 0.00136, 0.00134, 0.00128, 0.00118, 0.00105, 0.00090, 0.00074, 0.00058, 0.00043, 0.00030, 0.00020, 0.00014, 0.00012, 0.00014, 0.00020, 0.00030, 0.00043, 0.00058, 0.00071, 0.00093, 0.00113, 0.00131, 0.00144, 0.00153, 0.00156, 0.00153, 0.00144, 0.00131, 0.00113, 0.00093, 0.00071, + 0.00049, 0.00029, 0.00011, 0.00032, 0.00153, 0.00194, 0.00153, 0.00032, 0.00011, 0.00029, 0.00049, 0.00064, 0.00093, 0.00119, 0.00140, 0.00136, 0.00133, 0.00132, 0.00133, 0.00136, 0.00140, 0.00119, 0.00093, 0.00064, 0.00035, 0.00009, 0.00205, 0.00456, 0.00614, 0.00667, 0.00614, 0.00456, 0.00205, 0.00009, 0.00035, 0.00049, 0.00100, 0.00101, 0.00100, 0.00099, 0.00100, + 18.38656, 0.00102, 0.00049, 0.00020, 0.00660, 0.01070, 0.01223, 0.01083, 0.00660, 0.00051, 0.00017, 0.00035, 0.00035, 0.00035, 0.00035, 0.00035, 0.00017, 0.00530, 0.00531, 0.00531, 0.00531, 0.00530, 0.00006, 0.00006, 0.00007, 0.00007, 0.00007, 0.00006, 0.00005, 0.00005, 0.00005, 0.00006, 0.00007, 0.00007, 0.00008, 0.00008, 0.00008, 0.00007, 0.00007, 0.00006, 0.00005, + 0.00004, 0.00004, 0.00004, 0.00004, 0.00004, 0.00005, 0.00006, 0.00007, 0.00008, 0.00009, 0.00009, 0.00009, 0.00009, 0.00009, 0.00008, 0.00007, 0.00006, 0.00005, 0.00004, 0.00003, 0.00003, 0.00002, 0.00003, 0.00003, 0.00004, 0.00005, 0.00006, 0.00007, 0.00008, 0.00009, 0.00010, 0.00010, 0.00011, 0.00010, 0.00010, 0.00009, 0.00008, 0.00007, 0.00006, 0.00005, 0.00003, + 0.00002, 0.00002, 0.00001, 0.00001, 0.00001, 0.00002, 0.00002, 0.00003, 0.00005, 0.00006, 0.00007, 0.00009, 0.00010, 0.00011, 0.00012, 0.00012, 0.00012, 0.00011, 0.00010, 0.00009, 0.00007, 0.00006, 0.00004, 0.00002, 0.00001, 0.00003, 0.00012, 0.00015, 0.00012, 0.00003, 0.00001, 0.00002, 0.00004, 0.00005, 0.00007, 0.00009, 0.00011, 0.00011, 0.00010, 0.00010, 0.00010, + 0.00011, 0.00011, 0.00009, 0.00007, 0.00005, 0.00003, 0.00001, 0.00016, 0.00036, 0.00048, 0.00052, 0.00048, 0.00036, 0.00016, 0.00001, 0.00003, 0.00004, 0.00008, 0.00008, 0.00008, 0.00008, 0.00008, 0.00008, 18.38562, 0.00004, 0.00002, 0.00051, 0.00083, 0.00095, 0.00084, 0.00051, 0.00004, 0.00001, 0.00003, 0.00003, 0.00003, 0.00003, 0.00003, 0.00001, 0.00041, 0.00041, + 0.00041, 0.00041, 0.00041, 0.01165, 0.01164, 0.01309, 0.01370, 0.01309, 0.01164, 0.01019, 0.00959, 0.01019, 0.01161, 0.01319, 0.01460, 0.01550, 0.01584, 0.01553, 0.01460, 0.01326, 0.01161, 0.01003, 0.00862, 0.00772, 0.00739, 0.00769, 0.00862, 0.00996, 0.01153, 0.01359, 0.01544, 0.01691, 0.01786, 0.01818, 0.01786, 0.01691, 0.01544, 0.01359, 0.01153, 0.00947, 0.00762, + 0.00614, 0.00520, 0.00487, 0.00520, 0.00614, 0.00762, 0.00947, 0.01133, 0.01379, 0.01608, 0.01805, 0.01956, 0.02051, 0.02083, 0.02051, 0.01956, 0.01805, 0.01608, 0.01379, 0.01133, 0.00887, 0.00657, 0.00461, 0.00310, 0.00215, 0.00182, 0.00215, 0.00310, 0.00461, 0.00657, 0.00887, 0.01085, 0.01420, 0.01731, 0.01999, 0.02205, 0.02334, 0.02378, 0.02334, 0.02205, 0.01999, + 0.01731, 0.01420, 0.01085, 0.00750, 0.00438, 0.00171, 0.00002, 0.00011, 0.00014, 0.00011, 0.00002, 0.00171, 0.00438, 0.00750, 0.00977, 0.01414, 0.01822, 0.02141, 0.02140, 0.02140, 0.02140, 0.02140, 0.02140, 0.02141, 0.01822, 0.01414, 0.00977, 0.00539, 0.00131, 0.00015, 0.00034, 0.00046, 0.00050, 0.00046, 0.00034, 0.00015, 0.00131, 0.00539, 0.00750, 0.01522, 0.01643, + 0.01643, 0.01643, 0.01643, 0.01643, 0.01555, 18.39304, 0.00002, 0.00049, 0.00080, 0.00091, 0.00081, 0.00049, 0.00004, 0.00259, 0.00567, 0.00567, 0.00567, 0.00567, 0.00567, 0.00259, 0.00044, 0.00057, 0.00058, 0.00057, 0.00044, 0.02364, 0.02362, 0.02657, 0.02779, 0.02657, 0.02362, 0.02068, 0.01946, 0.02068, 0.02356, 0.02677, 0.02963, 0.03146, 0.03214, 0.03151, 0.02963, + 0.02691, 0.02356, 0.02035, 0.01750, 0.01567, 0.01499, 0.01561, 0.01750, 0.02021, 0.02339, 0.02757, 0.03133, 0.03432, 0.03624, 0.03690, 0.03624, 0.03432, 0.03133, 0.02757, 0.02339, 0.01922, 0.01546, 0.01247, 0.01055, 0.00989, 0.01055, 0.01247, 0.01546, 0.01922, 0.02298, 0.02798, 0.03263, 0.03662, 0.03969, 0.04161, 0.04227, 0.04161, 0.03969, 0.03662, 0.03263, 0.02798, + 0.02298, 0.01799, 0.01334, 0.00935, 0.00628, 0.00436, 0.00370, 0.00436, 0.00628, 0.00935, 0.01334, 0.01799, 0.02202, 0.02881, 0.03514, 0.04057, 0.04474, 0.04736, 0.04825, 0.04736, 0.04474, 0.04057, 0.03514, 0.02881, 0.02202, 0.01523, 0.00890, 0.00346, 0.00005, 0.00023, 0.00029, 0.00023, 0.00005, 0.00346, 0.00890, 0.01523, 0.01982, 0.02870, 0.03698, 0.04344, 0.04343, + 0.04343, 0.04343, 0.04343, 0.04343, 0.04344, 0.03698, 0.02870, 0.01982, 0.01093, 0.00265, 0.00031, 0.00069, 0.00093, 0.00101, 0.00093, 0.00069, 0.00031, 0.00265, 0.01093, 0.01522, 0.03088, 0.03334, 0.03334, 0.03334, 0.03334, 0.03334, 0.03155, 0.01522, 18.38558, 0.00100, 0.00161, 0.00185, 0.00163, 0.00100, 0.00008, 0.00525, 0.01151, 0.01151, 0.01151, 0.01151, 0.01151, + 0.00525, 0.00090, 0.00115, 0.00117, 0.00115, 0.00090, 0.02553, 0.02551, 0.02869, 0.03001, 0.02869, 0.02551, 0.02233, 0.02101, 0.02233, 0.02544, 0.02891, 0.03199, 0.03397, 0.03471, 0.03403, 0.03199, 0.02906, 0.02544, 0.02198, 0.01890, 0.01692, 0.01618, 0.01686, 0.01890, 0.02183, 0.02526, 0.02977, 0.03384, 0.03706, 0.03914, 0.03985, 0.03914, 0.03706, 0.03384, 0.02977, + 0.02526, 0.02076, 0.01669, 0.01346, 0.01139, 0.01068, 0.01139, 0.01346, 0.01669, 0.02076, 0.02482, 0.03021, 0.03524, 0.03955, 0.04286, 0.04494, 0.04565, 0.04494, 0.04286, 0.03955, 0.03524, 0.03021, 0.02482, 0.01943, 0.01441, 0.01009, 0.00678, 0.00470, 0.00399, 0.00470, 0.00678, 0.01009, 0.01441, 0.01943, 0.02378, 0.03111, 0.03794, 0.04381, 0.04832, 0.05115, 0.05211, + 0.05115, 0.04832, 0.04381, 0.03794, 0.03111, 0.02378, 0.01644, 0.00961, 0.00374, 0.00005, 0.00023, 0.00030, 0.00023, 0.00005, 0.00374, 0.00961, 0.01644, 0.02140, 0.03099, 0.03993, 0.04760, 0.05340, 0.05704, 0.05829, 0.05704, 0.05340, 0.04760, 0.03993, 0.03099, 0.02140, 0.01181, 0.00287, 0.00031, 0.00070, 0.00094, 0.00102, 0.00094, 0.00070, 0.00031, 0.00287, 0.01181, + 0.01643, 0.03334, 0.04561, 0.04772, 0.04816, 0.04778, 0.04561, 0.03407, 0.01643, 0.00003, 18.38656, 0.00164, 0.00187, 0.00166, 0.00101, 0.00008, 0.00567, 0.01662, 0.01662, 0.01662, 0.01662, 0.01662, 0.00567, 0.00092, 0.00120, 0.00122, 0.00120, 0.00092, 0.02553, 0.02551, 0.02869, 0.03001, 0.02869, 0.02551, 0.02233, 0.02101, 0.02233, 0.02544, 0.02891, 0.03199, 0.03397, + 0.03470, 0.03403, 0.03199, 0.02906, 0.02544, 0.02197, 0.01890, 0.01692, 0.01618, 0.01686, 0.01890, 0.02183, 0.02526, 0.02977, 0.03384, 0.03706, 0.03913, 0.03985, 0.03913, 0.03706, 0.03384, 0.02977, 0.02526, 0.02076, 0.01669, 0.01346, 0.01139, 0.01068, 0.01139, 0.01346, 0.01669, 0.02076, 0.02482, 0.03021, 0.03523, 0.03955, 0.04286, 0.04494, 0.04565, 0.04494, 0.04286, + 0.03955, 0.03523, 0.03021, 0.02482, 0.01943, 0.01441, 0.01009, 0.00678, 0.00470, 0.00399, 0.00470, 0.00678, 0.01009, 0.01441, 0.01943, 0.02378, 0.03111, 0.03794, 0.04381, 0.04831, 0.05114, 0.05211, 0.05114, 0.04831, 0.04381, 0.03794, 0.03111, 0.02378, 0.01644, 0.00961, 0.00374, 0.00005, 0.00023, 0.00029, 0.00023, 0.00005, 0.00374, 0.00961, 0.01644, 0.02140, 0.03099, + 0.03993, 0.04760, 0.05340, 0.05704, 0.05829, 0.05704, 0.05340, 0.04760, 0.03993, 0.03099, 0.02140, 0.01181, 0.00287, 0.00031, 0.00069, 0.00093, 0.00101, 0.00093, 0.00069, 0.00031, 0.00287, 0.01181, 0.01643, 0.03334, 0.04772, 0.05592, 0.05766, 0.05618, 0.04772, 0.03407, 0.01643, 0.00003, 0.00100, 18.38716, 0.00185, 0.00164, 0.00100, 0.00008, 0.00567, 0.01990, 0.01990, + 0.01990, 0.01990, 0.01990, 0.00567, 0.00091, 0.00120, 0.00122, 0.00120, 0.00091, 0.02553, 0.02551, 0.02869, 0.03001, 0.02869, 0.02551, 0.02233, 0.02101, 0.02233, 0.02544, 0.02891, 0.03199, 0.03397, 0.03470, 0.03403, 0.03199, 0.02906, 0.02544, 0.02197, 0.01890, 0.01692, 0.01618, 0.01686, 0.01890, 0.02183, 0.02526, 0.02977, 0.03384, 0.03706, 0.03913, 0.03985, 0.03913, + 0.03706, 0.03384, 0.02977, 0.02526, 0.02076, 0.01669, 0.01346, 0.01139, 0.01068, 0.01139, 0.01346, 0.01669, 0.02076, 0.02482, 0.03021, 0.03523, 0.03955, 0.04286, 0.04494, 0.04565, 0.04494, 0.04286, 0.03955, 0.03523, 0.03021, 0.02482, 0.01943, 0.01441, 0.01009, 0.00678, 0.00470, 0.00399, 0.00470, 0.00678, 0.01009, 0.01441, 0.01943, 0.02378, 0.03111, 0.03794, 0.04381, + 0.04831, 0.05114, 0.05211, 0.05114, 0.04831, 0.04381, 0.03794, 0.03111, 0.02378, 0.01644, 0.00961, 0.00374, 0.00005, 0.00023, 0.00029, 0.00023, 0.00005, 0.00374, 0.00961, 0.01644, 0.02140, 0.03099, 0.03993, 0.04760, 0.05340, 0.05704, 0.05829, 0.05704, 0.05340, 0.04760, 0.03993, 0.03099, 0.02140, 0.01181, 0.00287, 0.00031, 0.00069, 0.00092, 0.00101, 0.00092, 0.00069, + 0.00031, 0.00287, 0.01181, 0.01643, 0.03334, 0.04816, 0.05766, 0.05975, 0.05796, 0.04816, 0.03407, 0.01643, 0.00003, 0.00099, 0.00161, 18.38739, 0.00163, 0.00099, 0.00008, 0.00567, 0.02092, 0.02112, 0.02112, 0.02112, 0.02092, 0.00567, 0.00091, 0.00120, 0.00123, 0.00120, 0.00091, 0.02553, 0.02551, 0.02869, 0.03001, 0.02869, 0.02551, 0.02233, 0.02101, 0.02233, 0.02544, + 0.02891, 0.03199, 0.03397, 0.03470, 0.03403, 0.03199, 0.02906, 0.02544, 0.02197, 0.01890, 0.01692, 0.01618, 0.01686, 0.01890, 0.02183, 0.02526, 0.02977, 0.03384, 0.03706, 0.03913, 0.03985, 0.03913, 0.03706, 0.03384, 0.02977, 0.02526, 0.02076, 0.01669, 0.01346, 0.01139, 0.01068, 0.01139, 0.01346, 0.01669, 0.02076, 0.02482, 0.03021, 0.03523, 0.03955, 0.04286, 0.04494, + 0.04565, 0.04494, 0.04286, 0.03955, 0.03523, 0.03021, 0.02482, 0.01943, 0.01441, 0.01009, 0.00678, 0.00470, 0.00399, 0.00470, 0.00678, 0.01009, 0.01441, 0.01943, 0.02378, 0.03111, 0.03794, 0.04381, 0.04831, 0.05114, 0.05211, 0.05114, 0.04831, 0.04381, 0.03794, 0.03111, 0.02378, 0.01644, 0.00961, 0.00374, 0.00005, 0.00023, 0.00029, 0.00023, 0.00005, 0.00374, 0.00961, + 0.01644, 0.02140, 0.03099, 0.03993, 0.04760, 0.05340, 0.05704, 0.05829, 0.05704, 0.05340, 0.04760, 0.03993, 0.03099, 0.02140, 0.01181, 0.00287, 0.00031, 0.00069, 0.00093, 0.00101, 0.00093, 0.00069, 0.00031, 0.00287, 0.01181, 0.01643, 0.03334, 0.04778, 0.05618, 0.05796, 0.05644, 0.04778, 0.03407, 0.01643, 0.00003, 0.00100, 0.00162, 0.00185, 18.38718, 0.00100, 0.00008, + 0.00567, 0.02000, 0.02000, 0.02000, 0.02000, 0.02000, 0.00567, 0.00091, 0.00120, 0.00122, 0.00120, 0.00091, 0.02553, 0.02551, 0.02869, 0.03001, 0.02869, 0.02551, 0.02233, 0.02101, 0.02233, 0.02544, 0.02891, 0.03199, 0.03397, 0.03471, 0.03403, 0.03199, 0.02906, 0.02544, 0.02198, 0.01890, 0.01692, 0.01618, 0.01686, 0.01890, 0.02183, 0.02526, 0.02977, 0.03384, 0.03706, + 0.03914, 0.03985, 0.03914, 0.03706, 0.03384, 0.02977, 0.02526, 0.02076, 0.01669, 0.01346, 0.01139, 0.01068, 0.01139, 0.01346, 0.01669, 0.02076, 0.02482, 0.03021, 0.03524, 0.03955, 0.04286, 0.04494, 0.04565, 0.04494, 0.04286, 0.03955, 0.03524, 0.03021, 0.02482, 0.01943, 0.01441, 0.01009, 0.00678, 0.00470, 0.00399, 0.00470, 0.00678, 0.01009, 0.01441, 0.01943, 0.02378, + 0.03111, 0.03794, 0.04381, 0.04832, 0.05115, 0.05211, 0.05115, 0.04832, 0.04381, 0.03794, 0.03111, 0.02378, 0.01644, 0.00961, 0.00374, 0.00005, 0.00023, 0.00030, 0.00023, 0.00005, 0.00374, 0.00961, 0.01644, 0.02140, 0.03099, 0.03993, 0.04760, 0.05340, 0.05704, 0.05829, 0.05704, 0.05340, 0.04760, 0.03993, 0.03099, 0.02140, 0.01181, 0.00287, 0.00031, 0.00070, 0.00094, + 0.00102, 0.00094, 0.00070, 0.00031, 0.00287, 0.01181, 0.01643, 0.03334, 0.04561, 0.04772, 0.04816, 0.04778, 0.04561, 0.03407, 0.01643, 0.00003, 0.00101, 0.00164, 0.00187, 0.00166, 18.38656, 0.00008, 0.00567, 0.01662, 0.01662, 0.01662, 0.01662, 0.01662, 0.00567, 0.00092, 0.00120, 0.00122, 0.00120, 0.00092, 0.02416, 0.02414, 0.02715, 0.02840, 0.02715, 0.02414, 0.02113, + 0.01988, 0.02113, 0.02408, 0.02736, 0.03027, 0.03214, 0.03284, 0.03220, 0.03027, 0.02750, 0.02408, 0.02079, 0.01788, 0.01601, 0.01531, 0.01595, 0.01788, 0.02065, 0.02390, 0.02817, 0.03202, 0.03507, 0.03703, 0.03771, 0.03703, 0.03507, 0.03202, 0.02817, 0.02390, 0.01964, 0.01579, 0.01274, 0.01078, 0.01010, 0.01078, 0.01274, 0.01579, 0.01964, 0.02349, 0.02859, 0.03334, + 0.03742, 0.04055, 0.04252, 0.04319, 0.04252, 0.04055, 0.03742, 0.03334, 0.02859, 0.02349, 0.01839, 0.01363, 0.00955, 0.00642, 0.00445, 0.00378, 0.00445, 0.00642, 0.00955, 0.01363, 0.01839, 0.02250, 0.02944, 0.03590, 0.04146, 0.04572, 0.04839, 0.04931, 0.04839, 0.04572, 0.04146, 0.03590, 0.02944, 0.02250, 0.01556, 0.00909, 0.00354, 0.00005, 0.00024, 0.00030, 0.00024, + 0.00005, 0.00354, 0.00909, 0.01556, 0.02025, 0.02933, 0.03778, 0.04439, 0.04438, 0.04438, 0.04437, 0.04438, 0.04438, 0.04439, 0.03778, 0.02933, 0.02025, 0.01117, 0.00271, 0.00032, 0.00070, 0.00095, 0.00103, 0.00095, 0.00070, 0.00032, 0.00271, 0.01117, 0.01555, 0.03155, 0.03407, 0.03407, 0.03407, 0.03407, 0.03407, 0.03224, 0.01555, 0.00003, 0.00102, 0.00165, 0.00189, + 0.00167, 0.00102, 18.38562, 0.00536, 0.01176, 0.01176, 0.01176, 0.01176, 0.01176, 0.00536, 0.00092, 0.00117, 0.00119, 0.00117, 0.00092, 0.00402, 0.00402, 0.00452, 0.00472, 0.00452, 0.00402, 0.00351, 0.00331, 0.00351, 0.00400, 0.00455, 0.00503, 0.00535, 0.00546, 0.00536, 0.00503, 0.00457, 0.00400, 0.00346, 0.00297, 0.00266, 0.00255, 0.00265, 0.00297, 0.00343, 0.00398, + 0.00469, 0.00533, 0.00583, 0.00616, 0.00627, 0.00616, 0.00583, 0.00533, 0.00469, 0.00398, 0.00327, 0.00263, 0.00212, 0.00179, 0.00168, 0.00179, 0.00212, 0.00263, 0.00327, 0.00391, 0.00476, 0.00555, 0.00622, 0.00675, 0.00707, 0.00718, 0.00707, 0.00675, 0.00622, 0.00555, 0.00476, 0.00391, 0.00306, 0.00227, 0.00159, 0.00107, 0.00074, 0.00063, 0.00074, 0.00107, 0.00159, + 0.00227, 0.00306, 0.00374, 0.00490, 0.00597, 0.00690, 0.00761, 0.00805, 0.00820, 0.00805, 0.00761, 0.00690, 0.00597, 0.00490, 0.00374, 0.00259, 0.00151, 0.00059, 0.00001, 0.00004, 0.00005, 0.00004, 0.00001, 0.00059, 0.00151, 0.00259, 0.00337, 0.00488, 0.00629, 0.00738, 0.00738, 0.00738, 0.00738, 0.00738, 0.00738, 0.00738, 0.00629, 0.00488, 0.00337, 0.00186, 0.00045, + 0.00005, 0.00012, 0.00016, 0.00017, 0.00016, 0.00012, 0.00005, 0.00045, 0.00186, 0.00259, 0.00525, 0.00567, 0.00567, 0.00567, 0.00567, 0.00567, 0.00536, 0.00259, 0.00001, 0.00017, 0.00027, 0.00031, 0.00028, 0.00017, 0.00001, 41.94534, 0.00196, 0.00196, 0.00196, 0.00196, 0.00196, 0.00089, 0.00015, 0.00020, 0.00020, 0.00020, 0.00015, 0.00069, 0.00069, 0.00078, 0.00081, + 0.00078, 0.00069, 0.00060, 0.00057, 0.00060, 0.00069, 0.00078, 0.00086, 0.00092, 0.00094, 0.00092, 0.00086, 0.00079, 0.00069, 0.00059, 0.00051, 0.00046, 0.00044, 0.00046, 0.00051, 0.00059, 0.00068, 0.00080, 0.00091, 0.00100, 0.00106, 0.00108, 0.00106, 0.00100, 0.00091, 0.00080, 0.00068, 0.00056, 0.00045, 0.00036, 0.00031, 0.00029, 0.00031, 0.00036, 0.00045, 0.00056, + 0.00067, 0.00082, 0.00095, 0.00107, 0.00116, 0.00121, 0.00123, 0.00121, 0.00116, 0.00107, 0.00095, 0.00082, 0.00067, 0.00053, 0.00039, 0.00027, 0.00018, 0.00013, 0.00011, 0.00013, 0.00018, 0.00027, 0.00039, 0.00053, 0.00064, 0.00084, 0.00103, 0.00118, 0.00131, 0.00138, 0.00141, 0.00138, 0.00131, 0.00118, 0.00103, 0.00084, 0.00064, 0.00044, 0.00026, 0.00010, 0.00026, + 0.00123, 0.00156, 0.00123, 0.00026, 0.00010, 0.00026, 0.00044, 0.00058, 0.00084, 0.00108, 0.00126, 0.00123, 0.00121, 0.00121, 0.00121, 0.00123, 0.00126, 0.00108, 0.00084, 0.00058, 0.00032, 0.00008, 0.00164, 0.00366, 0.00492, 0.00536, 0.00492, 0.00366, 0.00164, 0.00008, 0.00032, 0.00044, 0.00090, 0.00092, 0.00091, 0.00091, 0.00091, 0.00092, 0.00092, 0.00044, 0.00016, + 0.00530, 0.00859, 0.00982, 0.00869, 0.00530, 0.00041, 0.00015, 41.94477, 0.00033, 0.00033, 0.00033, 0.00032, 0.00015, 0.00532, 0.00543, 0.00544, 0.00543, 0.00532, 0.00088, 0.00088, 0.00099, 0.00103, 0.00099, 0.00088, 0.00077, 0.00072, 0.00077, 0.00088, 0.00100, 0.00110, 0.00117, 0.00119, 0.00117, 0.00110, 0.00100, 0.00088, 0.00076, 0.00065, 0.00058, 0.00056, 0.00058, + 0.00065, 0.00075, 0.00087, 0.00103, 0.00117, 0.00128, 0.00135, 0.00137, 0.00135, 0.00128, 0.00117, 0.00103, 0.00087, 0.00071, 0.00057, 0.00046, 0.00039, 0.00037, 0.00039, 0.00046, 0.00057, 0.00071, 0.00085, 0.00104, 0.00121, 0.00136, 0.00148, 0.00155, 0.00157, 0.00155, 0.00148, 0.00136, 0.00121, 0.00104, 0.00085, 0.00067, 0.00050, 0.00035, 0.00023, 0.00016, 0.00014, + 0.00016, 0.00023, 0.00035, 0.00050, 0.00067, 0.00082, 0.00107, 0.00131, 0.00151, 0.00166, 0.00176, 0.00179, 0.00176, 0.00166, 0.00151, 0.00131, 0.00107, 0.00082, 0.00057, 0.00033, 0.00013, 0.00026, 0.00123, 0.00156, 0.00123, 0.00026, 0.00013, 0.00033, 0.00057, 0.00074, 0.00107, 0.00138, 0.00161, 0.00158, 0.00157, 0.00156, 0.00157, 0.00158, 0.00161, 0.00138, 0.00107, + 0.00074, 0.00041, 0.00010, 0.00165, 0.00366, 0.00493, 0.00536, 0.00493, 0.00366, 0.00165, 0.00010, 0.00041, 0.00057, 0.00115, 0.00120, 0.00120, 0.00120, 0.00120, 0.00120, 0.00117, 0.00057, 0.00016, 0.00531, 0.00860, 0.00983, 0.00871, 0.00531, 0.00041, 0.00020, 0.00043, 41.94490, 0.00046, 0.00046, 0.00043, 0.00020, 0.00543, 0.01063, 0.01066, 0.01063, 0.00543, 0.00089, + 0.00089, 0.00101, 0.00105, 0.00101, 0.00089, 0.00078, 0.00074, 0.00078, 0.00089, 0.00101, 0.00112, 0.00119, 0.00122, 0.00119, 0.00112, 0.00102, 0.00089, 0.00077, 0.00066, 0.00059, 0.00057, 0.00059, 0.00066, 0.00077, 0.00089, 0.00104, 0.00119, 0.00130, 0.00137, 0.00140, 0.00137, 0.00130, 0.00119, 0.00104, 0.00089, 0.00073, 0.00059, 0.00047, 0.00040, 0.00037, 0.00040, + 0.00047, 0.00059, 0.00073, 0.00087, 0.00106, 0.00124, 0.00139, 0.00150, 0.00158, 0.00160, 0.00158, 0.00150, 0.00139, 0.00124, 0.00106, 0.00087, 0.00068, 0.00051, 0.00035, 0.00024, 0.00016, 0.00014, 0.00016, 0.00024, 0.00035, 0.00051, 0.00068, 0.00083, 0.00109, 0.00133, 0.00154, 0.00169, 0.00179, 0.00183, 0.00179, 0.00169, 0.00154, 0.00133, 0.00109, 0.00083, 0.00058, + 0.00034, 0.00013, 0.00026, 0.00123, 0.00156, 0.00123, 0.00026, 0.00013, 0.00034, 0.00058, 0.00075, 0.00109, 0.00140, 0.00164, 0.00161, 0.00160, 0.00159, 0.00160, 0.00161, 0.00164, 0.00140, 0.00109, 0.00075, 0.00041, 0.00010, 0.00165, 0.00366, 0.00493, 0.00536, 0.00493, 0.00366, 0.00165, 0.00010, 0.00041, 0.00058, 0.00117, 0.00122, 0.00122, 0.00123, 0.00122, 0.00122, + 0.00119, 0.00058, 0.00016, 0.00531, 0.00861, 0.00983, 0.00871, 0.00531, 0.00041, 0.00020, 0.00044, 0.00046, 41.94492, 0.00046, 0.00044, 0.00020, 0.00544, 0.01066, 0.01106, 0.01066, 0.00544, 0.00088, 0.00088, 0.00099, 0.00103, 0.00099, 0.00088, 0.00077, 0.00072, 0.00077, 0.00088, 0.00100, 0.00110, 0.00117, 0.00119, 0.00117, 0.00110, 0.00100, 0.00088, 0.00076, 0.00065, + 0.00058, 0.00056, 0.00058, 0.00065, 0.00075, 0.00087, 0.00103, 0.00117, 0.00128, 0.00135, 0.00137, 0.00135, 0.00128, 0.00117, 0.00103, 0.00087, 0.00071, 0.00057, 0.00046, 0.00039, 0.00037, 0.00039, 0.00046, 0.00057, 0.00071, 0.00085, 0.00104, 0.00121, 0.00136, 0.00148, 0.00155, 0.00157, 0.00155, 0.00148, 0.00136, 0.00121, 0.00104, 0.00085, 0.00067, 0.00050, 0.00035, + 0.00023, 0.00016, 0.00014, 0.00016, 0.00023, 0.00035, 0.00050, 0.00067, 0.00082, 0.00107, 0.00131, 0.00151, 0.00166, 0.00176, 0.00179, 0.00176, 0.00166, 0.00151, 0.00131, 0.00107, 0.00082, 0.00057, 0.00033, 0.00013, 0.00026, 0.00123, 0.00156, 0.00123, 0.00026, 0.00013, 0.00033, 0.00057, 0.00074, 0.00107, 0.00138, 0.00161, 0.00158, 0.00157, 0.00156, 0.00157, 0.00158, + 0.00161, 0.00138, 0.00107, 0.00074, 0.00041, 0.00010, 0.00165, 0.00366, 0.00493, 0.00536, 0.00493, 0.00366, 0.00165, 0.00010, 0.00041, 0.00057, 0.00115, 0.00120, 0.00120, 0.00120, 0.00120, 0.00120, 0.00117, 0.00057, 0.00016, 0.00531, 0.00860, 0.00983, 0.00871, 0.00531, 0.00041, 0.00020, 0.00043, 0.00046, 0.00046, 41.94490, 0.00043, 0.00020, 0.00543, 0.01063, 0.01066, + 0.01063, 0.00543, 0.00069, 0.00069, 0.00078, 0.00081, 0.00078, 0.00069, 0.00060, 0.00057, 0.00060, 0.00069, 0.00078, 0.00086, 0.00092, 0.00094, 0.00092, 0.00086, 0.00079, 0.00069, 0.00059, 0.00051, 0.00046, 0.00044, 0.00046, 0.00051, 0.00059, 0.00068, 0.00080, 0.00091, 0.00100, 0.00106, 0.00108, 0.00106, 0.00100, 0.00091, 0.00080, 0.00068, 0.00056, 0.00045, 0.00036, + 0.00031, 0.00029, 0.00031, 0.00036, 0.00045, 0.00056, 0.00067, 0.00082, 0.00095, 0.00107, 0.00116, 0.00121, 0.00123, 0.00121, 0.00116, 0.00107, 0.00095, 0.00082, 0.00067, 0.00053, 0.00039, 0.00027, 0.00018, 0.00013, 0.00011, 0.00013, 0.00018, 0.00027, 0.00039, 0.00053, 0.00064, 0.00084, 0.00103, 0.00118, 0.00131, 0.00138, 0.00141, 0.00138, 0.00131, 0.00118, 0.00103, + 0.00084, 0.00064, 0.00044, 0.00026, 0.00010, 0.00026, 0.00123, 0.00156, 0.00123, 0.00026, 0.00010, 0.00026, 0.00044, 0.00058, 0.00084, 0.00108, 0.00126, 0.00123, 0.00121, 0.00121, 0.00121, 0.00123, 0.00126, 0.00108, 0.00084, 0.00058, 0.00032, 0.00008, 0.00164, 0.00366, 0.00492, 0.00536, 0.00492, 0.00366, 0.00164, 0.00008, 0.00032, 0.00044, 0.00090, 0.00092, 0.00091, + 0.00091, 0.00091, 0.00092, 0.00092, 0.00044, 0.00016, 0.00530, 0.00859, 0.00982, 0.00869, 0.00530, 0.00041, 0.00015, 0.00032, 0.00033, 0.00033, 0.00033, 41.94477, 0.00015, 0.00532, 0.00543, 0.00544, 0.00543, 0.00532, 0.00402, 0.00402, 0.00452, 0.00472, 0.00452, 0.00402, 0.00351, 0.00331, 0.00351, 0.00400, 0.00455, 0.00503, 0.00535, 0.00546, 0.00536, 0.00503, 0.00457, + 0.00400, 0.00346, 0.00297, 0.00266, 0.00255, 0.00265, 0.00297, 0.00343, 0.00398, 0.00469, 0.00533, 0.00583, 0.00616, 0.00627, 0.00616, 0.00583, 0.00533, 0.00469, 0.00398, 0.00327, 0.00263, 0.00212, 0.00179, 0.00168, 0.00179, 0.00212, 0.00263, 0.00327, 0.00391, 0.00476, 0.00555, 0.00622, 0.00675, 0.00707, 0.00718, 0.00707, 0.00675, 0.00622, 0.00555, 0.00476, 0.00391, + 0.00306, 0.00227, 0.00159, 0.00107, 0.00074, 0.00063, 0.00074, 0.00107, 0.00159, 0.00227, 0.00306, 0.00374, 0.00490, 0.00597, 0.00690, 0.00761, 0.00805, 0.00820, 0.00805, 0.00761, 0.00690, 0.00597, 0.00490, 0.00374, 0.00259, 0.00151, 0.00059, 0.00001, 0.00004, 0.00005, 0.00004, 0.00001, 0.00059, 0.00151, 0.00259, 0.00337, 0.00488, 0.00629, 0.00738, 0.00738, 0.00738, + 0.00738, 0.00738, 0.00738, 0.00738, 0.00629, 0.00488, 0.00337, 0.00186, 0.00045, 0.00005, 0.00012, 0.00016, 0.00017, 0.00016, 0.00012, 0.00005, 0.00045, 0.00186, 0.00259, 0.00525, 0.00567, 0.00567, 0.00567, 0.00567, 0.00567, 0.00536, 0.00259, 0.00001, 0.00017, 0.00027, 0.00031, 0.00028, 0.00017, 0.00001, 0.00089, 0.00196, 0.00196, 0.00196, 0.00196, 0.00196, 41.94534, + 0.00015, 0.00020, 0.00020, 0.00020, 0.00015, 0.00880, 0.00880, 0.00990, 0.01035, 0.00990, 0.00880, 0.00770, 0.00725, 0.00770, 0.00878, 0.00997, 0.01103, 0.01172, 0.01197, 0.01174, 0.01103, 0.01002, 0.00878, 0.00758, 0.00652, 0.00584, 0.00558, 0.00581, 0.00652, 0.00753, 0.00871, 0.01027, 0.01167, 0.01278, 0.01350, 0.01374, 0.01350, 0.01278, 0.01167, 0.01027, 0.00871, + 0.00716, 0.00576, 0.00464, 0.00393, 0.00368, 0.00393, 0.00464, 0.00576, 0.00716, 0.00856, 0.01042, 0.01215, 0.01364, 0.01478, 0.01550, 0.01575, 0.01550, 0.01478, 0.01364, 0.01215, 0.01042, 0.00856, 0.00670, 0.00497, 0.00348, 0.00234, 0.00162, 0.00138, 0.00162, 0.00234, 0.00348, 0.00497, 0.00670, 0.00820, 0.01073, 0.01309, 0.01511, 0.01667, 0.01764, 0.01798, 0.01764, + 0.01667, 0.01511, 0.01309, 0.01073, 0.00820, 0.00567, 0.00331, 0.00129, 0.00002, 0.00008, 0.00010, 0.00008, 0.00002, 0.00129, 0.00331, 0.00567, 0.00738, 0.01069, 0.01378, 0.01642, 0.01842, 0.01968, 0.02011, 0.01968, 0.01842, 0.01642, 0.01378, 0.01069, 0.00738, 0.00407, 0.00099, 0.00011, 0.00024, 0.00032, 0.00035, 0.00032, 0.00024, 0.00011, 0.00099, 0.00407, 0.00567, + 0.01151, 0.01662, 0.01990, 0.02092, 0.02000, 0.01662, 0.01176, 0.00567, 0.00001, 0.00035, 0.00056, 0.00064, 0.00057, 0.00035, 0.00003, 0.00196, 0.00850, 0.00932, 0.00932, 0.00932, 0.00850, 0.00196, 41.94477, 0.00043, 0.00044, 0.00043, 0.00032, 0.00881, 0.00880, 0.00990, 0.01035, 0.00990, 0.00880, 0.00770, 0.00725, 0.00770, 0.00878, 0.00997, 0.01104, 0.01172, 0.01197, + 0.01174, 0.01104, 0.01003, 0.00878, 0.00758, 0.00652, 0.00584, 0.00558, 0.00582, 0.00652, 0.00753, 0.00872, 0.01027, 0.01167, 0.01279, 0.01350, 0.01375, 0.01350, 0.01279, 0.01167, 0.01027, 0.00872, 0.00716, 0.00576, 0.00464, 0.00393, 0.00368, 0.00393, 0.00464, 0.00576, 0.00716, 0.00856, 0.01042, 0.01216, 0.01364, 0.01479, 0.01550, 0.01575, 0.01550, 0.01479, 0.01364, + 0.01216, 0.01042, 0.00856, 0.00670, 0.00497, 0.00348, 0.00234, 0.00162, 0.00138, 0.00162, 0.00234, 0.00348, 0.00497, 0.00670, 0.00820, 0.01073, 0.01309, 0.01512, 0.01667, 0.01765, 0.01798, 0.01765, 0.01667, 0.01512, 0.01309, 0.01073, 0.00820, 0.00567, 0.00332, 0.00129, 0.00002, 0.00008, 0.00010, 0.00008, 0.00002, 0.00129, 0.00332, 0.00567, 0.00738, 0.01069, 0.01378, + 0.01642, 0.01843, 0.01968, 0.02011, 0.01968, 0.01843, 0.01642, 0.01378, 0.01069, 0.00738, 0.00407, 0.00099, 0.00011, 0.00024, 0.00033, 0.00036, 0.00033, 0.00024, 0.00011, 0.00099, 0.00407, 0.00567, 0.01151, 0.01662, 0.01990, 0.02112, 0.02000, 0.01662, 0.01176, 0.00567, 0.00001, 0.00035, 0.00057, 0.00065, 0.00058, 0.00035, 0.00003, 0.00196, 0.00932, 0.01219, 0.01294, + 0.01219, 0.00932, 0.00196, 0.00033, 41.94490, 0.00046, 0.00046, 0.00033, 0.00881, 0.00880, 0.00990, 0.01035, 0.00990, 0.00880, 0.00770, 0.00725, 0.00770, 0.00878, 0.00997, 0.01104, 0.01172, 0.01197, 0.01174, 0.01104, 0.01003, 0.00878, 0.00758, 0.00652, 0.00584, 0.00558, 0.00582, 0.00652, 0.00753, 0.00872, 0.01027, 0.01167, 0.01279, 0.01350, 0.01375, 0.01350, 0.01279, + 0.01167, 0.01027, 0.00872, 0.00716, 0.00576, 0.00464, 0.00393, 0.00368, 0.00393, 0.00464, 0.00576, 0.00716, 0.00856, 0.01042, 0.01216, 0.01364, 0.01479, 0.01550, 0.01575, 0.01550, 0.01479, 0.01364, 0.01216, 0.01042, 0.00856, 0.00670, 0.00497, 0.00348, 0.00234, 0.00162, 0.00138, 0.00162, 0.00234, 0.00348, 0.00497, 0.00670, 0.00820, 0.01073, 0.01309, 0.01512, 0.01667, + 0.01765, 0.01798, 0.01765, 0.01667, 0.01512, 0.01309, 0.01073, 0.00820, 0.00567, 0.00332, 0.00129, 0.00002, 0.00008, 0.00010, 0.00008, 0.00002, 0.00129, 0.00332, 0.00567, 0.00738, 0.01070, 0.01378, 0.01643, 0.01843, 0.01968, 0.02011, 0.01968, 0.01843, 0.01643, 0.01378, 0.01070, 0.00738, 0.00407, 0.00099, 0.00011, 0.00024, 0.00033, 0.00036, 0.00033, 0.00024, 0.00011, + 0.00099, 0.00407, 0.00567, 0.01151, 0.01662, 0.01990, 0.02112, 0.02000, 0.01662, 0.01176, 0.00567, 0.00001, 0.00035, 0.00057, 0.00065, 0.00058, 0.00035, 0.00003, 0.00196, 0.00932, 0.01294, 0.01406, 0.01294, 0.00932, 0.00196, 0.00033, 0.00046, 41.94492, 0.00046, 0.00033, 0.00881, 0.00880, 0.00990, 0.01035, 0.00990, 0.00880, 0.00770, 0.00725, 0.00770, 0.00878, 0.00997, + 0.01104, 0.01172, 0.01197, 0.01174, 0.01104, 0.01003, 0.00878, 0.00758, 0.00652, 0.00584, 0.00558, 0.00582, 0.00652, 0.00753, 0.00872, 0.01027, 0.01167, 0.01279, 0.01350, 0.01375, 0.01350, 0.01279, 0.01167, 0.01027, 0.00872, 0.00716, 0.00576, 0.00464, 0.00393, 0.00368, 0.00393, 0.00464, 0.00576, 0.00716, 0.00856, 0.01042, 0.01216, 0.01364, 0.01479, 0.01550, 0.01575, + 0.01550, 0.01479, 0.01364, 0.01216, 0.01042, 0.00856, 0.00670, 0.00497, 0.00348, 0.00234, 0.00162, 0.00138, 0.00162, 0.00234, 0.00348, 0.00497, 0.00670, 0.00820, 0.01073, 0.01309, 0.01512, 0.01667, 0.01765, 0.01798, 0.01765, 0.01667, 0.01512, 0.01309, 0.01073, 0.00820, 0.00567, 0.00332, 0.00129, 0.00002, 0.00008, 0.00010, 0.00008, 0.00002, 0.00129, 0.00332, 0.00567, + 0.00738, 0.01069, 0.01378, 0.01642, 0.01843, 0.01968, 0.02011, 0.01968, 0.01843, 0.01642, 0.01378, 0.01069, 0.00738, 0.00407, 0.00099, 0.00011, 0.00024, 0.00033, 0.00036, 0.00033, 0.00024, 0.00011, 0.00099, 0.00407, 0.00567, 0.01151, 0.01662, 0.01990, 0.02112, 0.02000, 0.01662, 0.01176, 0.00567, 0.00001, 0.00035, 0.00057, 0.00065, 0.00058, 0.00035, 0.00003, 0.00196, + 0.00932, 0.01219, 0.01294, 0.01219, 0.00932, 0.00196, 0.00033, 0.00046, 0.00046, 41.94490, 0.00033, 0.00880, 0.00880, 0.00990, 0.01035, 0.00990, 0.00880, 0.00770, 0.00725, 0.00770, 0.00878, 0.00997, 0.01103, 0.01172, 0.01197, 0.01174, 0.01103, 0.01002, 0.00878, 0.00758, 0.00652, 0.00584, 0.00558, 0.00581, 0.00652, 0.00753, 0.00871, 0.01027, 0.01167, 0.01278, 0.01350, + 0.01374, 0.01350, 0.01278, 0.01167, 0.01027, 0.00871, 0.00716, 0.00576, 0.00464, 0.00393, 0.00368, 0.00393, 0.00464, 0.00576, 0.00716, 0.00856, 0.01042, 0.01215, 0.01364, 0.01478, 0.01550, 0.01575, 0.01550, 0.01478, 0.01364, 0.01215, 0.01042, 0.00856, 0.00670, 0.00497, 0.00348, 0.00234, 0.00162, 0.00138, 0.00162, 0.00234, 0.00348, 0.00497, 0.00670, 0.00820, 0.01073, + 0.01309, 0.01511, 0.01667, 0.01764, 0.01798, 0.01764, 0.01667, 0.01511, 0.01309, 0.01073, 0.00820, 0.00567, 0.00331, 0.00129, 0.00002, 0.00008, 0.00010, 0.00008, 0.00002, 0.00129, 0.00331, 0.00567, 0.00738, 0.01069, 0.01378, 0.01642, 0.01842, 0.01968, 0.02011, 0.01968, 0.01842, 0.01642, 0.01378, 0.01069, 0.00738, 0.00407, 0.00099, 0.00011, 0.00024, 0.00032, 0.00035, + 0.00032, 0.00024, 0.00011, 0.00099, 0.00407, 0.00567, 0.01151, 0.01662, 0.01990, 0.02092, 0.02000, 0.01662, 0.01176, 0.00567, 0.00001, 0.00035, 0.00056, 0.00064, 0.00057, 0.00035, 0.00003, 0.00196, 0.00850, 0.00932, 0.00932, 0.00932, 0.00850, 0.00196, 0.00032, 0.00043, 0.00044, 0.00043, 41.94477; + + +Matrix:TwoDimension, +CFS_Glz_70_Layer_1_fAbs, +1, +145, + 0.36051, 0.36048, 0.32246, 0.30685, 0.32246, 0.36048, 0.39900, 0.41510, 0.39900, 0.36046, 0.31890, 0.28251, 0.25939, 0.25083, 0.25867, 0.28251, 0.31713, 0.36046, 0.40261, 0.44052, 0.46509, 0.47429, 0.46586, 0.44052, 0.40444, 0.36072, 0.30655, 0.25855, 0.22105, 0.19725, 0.18910, 0.19725, 0.22105, 0.25855, 0.30655, 0.36072, 0.41591, 0.46658, 0.50738, 0.53385, 0.54302, + 0.53385, 0.50738, 0.46658, 0.41591, 0.36188, 0.29658, 0.23718, 0.18728, 0.14968, 0.12636, 0.11846, 0.12636, 0.14968, 0.18728, 0.23718, 0.29658, 0.36188, 0.42879, 0.49257, 0.54846, 0.59204, 0.61974, 0.62924, 0.61974, 0.59204, 0.54846, 0.49257, 0.42879, 0.36540, 0.27541, 0.19498, 0.12853, 0.09859, 0.13956, 0.15340, 0.13956, 0.09859, 0.12853, 0.19498, 0.27541, 0.36540, + 0.45919, 0.54999, 0.63060, 0.69431, 0.73500, 0.74876, 0.73500, 0.69431, 0.63060, 0.54999, 0.45919, 0.37445, 0.25389, 0.15151, 0.19601, 0.27389, 0.32288, 0.33959, 0.32288, 0.27389, 0.19601, 0.15151, 0.25389, 0.37445, 0.50607, 0.63868, 0.74847, 0.74527, 0.74326, 0.74257, 0.74326, 0.74527, 0.74847, 0.63868, 0.50607, 0.39527, 0.20755, 0.44705, 0.59105, 0.64468, 0.59556, + 0.44705, 0.22297, 0.39527, 0.69344, 0.74130, 0.73790, 0.73680, 0.73779, 0.74130, 0.70875, 0.45283, 0.75539, 0.75780, 0.75903, 0.75780, 0.75539, 0.45283, 0.73260, 0.72764, 0.72655, 0.72764, 0.73260; + + +Matrix:TwoDimension, +CFS_Glz_70_Layer_1_bAbs, +1, +145, + 0.17667, 0.17619, 0.19816, 0.20726, 0.19816, 0.17619, 0.15422, 0.14512, 0.15422, 0.17466, 0.19847, 0.21961, 0.23317, 0.23823, 0.23360, 0.21961, 0.19950, 0.17466, 0.15084, 0.12971, 0.11614, 0.11109, 0.11572, 0.12971, 0.14982, 0.17168, 0.20231, 0.22995, 0.25188, 0.26595, 0.27081, 0.26595, 0.25188, 0.22995, 0.20231, 0.17168, 0.14105, 0.11342, 0.09149, 0.07741, 0.07256, + 0.07741, 0.09149, 0.11342, 0.14105, 0.16635, 0.20248, 0.23614, 0.26505, 0.28724, 0.30118, 0.30594, 0.30118, 0.28724, 0.26505, 0.23614, 0.20248, 0.16635, 0.13022, 0.09656, 0.06765, 0.04547, 0.03152, 0.02677, 0.03152, 0.04547, 0.06765, 0.09656, 0.13022, 0.15656, 0.20485, 0.24985, 0.28850, 0.31815, 0.33679, 0.34315, 0.33679, 0.31815, 0.28850, 0.24985, 0.20485, 0.15656, + 0.10827, 0.06327, 0.02463, 0.00499, 0.02349, 0.02980, 0.02349, 0.00499, 0.02463, 0.06327, 0.10827, 0.13785, 0.19964, 0.25722, 0.30210, 0.30161, 0.30131, 0.30120, 0.30131, 0.30161, 0.30210, 0.25722, 0.19964, 0.13785, 0.07605, 0.01847, 0.03075, 0.06841, 0.09208, 0.10015, 0.09208, 0.06841, 0.03075, 0.01847, 0.07605, 0.10246, 0.20792, 0.22390, 0.22396, 0.22394, 0.22396, + 0.22390, 0.21246, 0.10246, 0.00297, 0.09587, 0.15549, 0.17770, 0.15736, 0.09587, 0.00748, 0.03079, 0.06719, 0.06712, 0.06711, 0.06712, 0.06719, 0.03079, 0.06757, 0.06860, 0.06873, 0.06860, 0.06757; + + +Matrix:TwoDimension, +CFS_Glz_70_Layer_2_fAbs, +1, +145, + 0.17370, 0.17442, 0.19143, 0.19849, 0.19143, 0.17442, 0.15744, 0.15042, 0.15744, 0.17656, 0.19542, 0.21219, 0.22298, 0.22700, 0.22331, 0.21219, 0.19623, 0.17656, 0.15775, 0.14109, 0.13042, 0.12645, 0.13009, 0.14109, 0.15694, 0.18009, 0.20530, 0.22811, 0.24626, 0.25794, 0.26196, 0.25794, 0.24626, 0.22811, 0.20530, 0.18009, 0.15495, 0.13235, 0.11445, 0.10298, 0.09903, + 0.10298, 0.11445, 0.13235, 0.15495, 0.18488, 0.21648, 0.24603, 0.27150, 0.29109, 0.30343, 0.30765, 0.30343, 0.29109, 0.27150, 0.24603, 0.21648, 0.18488, 0.15341, 0.12419, 0.09918, 0.08005, 0.06805, 0.06396, 0.06805, 0.08005, 0.09918, 0.12419, 0.15341, 0.19066, 0.23718, 0.28079, 0.31845, 0.33869, 0.32437, 0.31948, 0.32437, 0.33869, 0.31845, 0.28079, 0.23718, 0.19066, + 0.14444, 0.10163, 0.06507, 0.03715, 0.01965, 0.01368, 0.01965, 0.03715, 0.06507, 0.10163, 0.14444, 0.19663, 0.26702, 0.33340, 0.32670, 0.29126, 0.26896, 0.26135, 0.26896, 0.29126, 0.32670, 0.33340, 0.26702, 0.19663, 0.12710, 0.06308, 0.01354, 0.01269, 0.01215, 0.01196, 0.01215, 0.01269, 0.01354, 0.06308, 0.12710, 0.19950, 0.35965, 0.23948, 0.16109, 0.13181, 0.15863, + 0.23948, 0.35410, 0.19950, 0.03844, 0.01147, 0.01012, 0.00980, 0.01008, 0.01147, 0.03170, 0.16860, 0.06911, 0.06273, 0.06205, 0.06273, 0.06911, 0.16860, 0.00935, 0.00857, 0.00832, 0.00857, 0.00935; + + +Matrix:TwoDimension, +CFS_Glz_70_Layer_2_bAbs, +1, +145, + 0.22882, 0.22944, 0.23104, 0.23170, 0.23104, 0.22944, 0.22784, 0.22717, 0.22784, 0.23113, 0.23286, 0.23439, 0.23538, 0.23574, 0.23541, 0.23439, 0.23294, 0.23113, 0.22941, 0.22788, 0.22689, 0.22653, 0.22686, 0.22788, 0.22933, 0.23340, 0.23561, 0.23760, 0.23917, 0.24019, 0.24054, 0.24019, 0.23917, 0.23760, 0.23561, 0.23340, 0.23120, 0.22921, 0.22763, 0.22662, 0.22627, + 0.22662, 0.22763, 0.22921, 0.23120, 0.23499, 0.23756, 0.23996, 0.24202, 0.24360, 0.24459, 0.24493, 0.24459, 0.24360, 0.24202, 0.23996, 0.23756, 0.23499, 0.23242, 0.23002, 0.22797, 0.22639, 0.22539, 0.22505, 0.22539, 0.22639, 0.22797, 0.23002, 0.23242, 0.23304, 0.23643, 0.23959, 0.24231, 0.24439, 0.24570, 0.24614, 0.24570, 0.24439, 0.24231, 0.23959, 0.23643, 0.23304, + 0.22965, 0.22649, 0.22378, 0.22212, 0.22238, 0.22246, 0.22238, 0.22212, 0.22378, 0.22649, 0.22965, 0.22129, 0.22555, 0.22952, 0.23268, 0.23317, 0.23347, 0.23358, 0.23347, 0.23317, 0.23268, 0.22952, 0.22555, 0.22129, 0.21703, 0.21305, 0.21220, 0.21271, 0.21304, 0.21315, 0.21304, 0.21271, 0.21220, 0.21305, 0.21703, 0.18739, 0.19448, 0.19645, 0.19687, 0.19699, 0.19689, + 0.19645, 0.19479, 0.18739, 0.18055, 0.18178, 0.18258, 0.18287, 0.18260, 0.18178, 0.18061, 0.08798, 0.09065, 0.09077, 0.09079, 0.09077, 0.09065, 0.08798, 0.08704, 0.08729, 0.08730, 0.08729, 0.08704; + + +Matrix:TwoDimension, +CFS_Glz_70_Layer_3_fAbs, +1, +145, + 0.04548, 0.04560, 0.05014, 0.05202, 0.05014, 0.04560, 0.04107, 0.03920, 0.04107, 0.04593, 0.05094, 0.05539, 0.05825, 0.05932, 0.05834, 0.05539, 0.05115, 0.04593, 0.04094, 0.03652, 0.03369, 0.03263, 0.03360, 0.03652, 0.04073, 0.04639, 0.05301, 0.05900, 0.06377, 0.06683, 0.06789, 0.06683, 0.06377, 0.05900, 0.05301, 0.04639, 0.03979, 0.03386, 0.02916, 0.02615, 0.02511, + 0.02615, 0.02916, 0.03386, 0.03979, 0.04677, 0.05490, 0.06251, 0.06906, 0.07411, 0.07729, 0.07837, 0.07729, 0.07411, 0.06906, 0.06251, 0.05490, 0.04677, 0.03866, 0.03114, 0.02471, 0.01978, 0.01669, 0.01564, 0.01669, 0.01978, 0.02471, 0.03114, 0.03866, 0.04658, 0.05812, 0.06895, 0.07829, 0.08332, 0.07976, 0.07855, 0.07976, 0.08332, 0.07829, 0.06895, 0.05812, 0.04658, + 0.03511, 0.02450, 0.01543, 0.00851, 0.00418, 0.00270, 0.00418, 0.00851, 0.01543, 0.02450, 0.03511, 0.04482, 0.06108, 0.07643, 0.07501, 0.06693, 0.06185, 0.06011, 0.06185, 0.06693, 0.07501, 0.07643, 0.06108, 0.04482, 0.02879, 0.01406, 0.00267, 0.00253, 0.00243, 0.00240, 0.00243, 0.00253, 0.00267, 0.01406, 0.02879, 0.03951, 0.07174, 0.04892, 0.03397, 0.02838, 0.03350, + 0.04892, 0.07071, 0.03951, 0.00757, 0.00232, 0.00210, 0.00205, 0.00210, 0.00232, 0.00624, 0.02283, 0.01654, 0.01536, 0.01521, 0.01536, 0.01654, 0.02283, 0.00197, 0.00183, 0.00179, 0.00183, 0.00197; + + +Matrix:TwoDimension, +CFS_Glz_70_Layer_3_bAbs, +1, +145, + 0.15792, 0.15876, 0.15920, 0.15938, 0.15920, 0.15876, 0.15832, 0.15814, 0.15832, 0.16128, 0.16175, 0.16218, 0.16245, 0.16255, 0.16246, 0.16218, 0.16177, 0.16128, 0.16080, 0.16038, 0.16010, 0.16000, 0.16010, 0.16038, 0.16078, 0.16545, 0.16606, 0.16661, 0.16705, 0.16733, 0.16743, 0.16733, 0.16705, 0.16661, 0.16606, 0.16545, 0.16484, 0.16429, 0.16385, 0.16357, 0.16348, + 0.16357, 0.16385, 0.16429, 0.16484, 0.17125, 0.17196, 0.17263, 0.17320, 0.17364, 0.17392, 0.17401, 0.17392, 0.17364, 0.17320, 0.17263, 0.17196, 0.17125, 0.17053, 0.16987, 0.16930, 0.16886, 0.16858, 0.16849, 0.16858, 0.16886, 0.16930, 0.16987, 0.17053, 0.17855, 0.17950, 0.18038, 0.18114, 0.18172, 0.18209, 0.18221, 0.18209, 0.18172, 0.18114, 0.18038, 0.17950, 0.17855, + 0.17761, 0.17673, 0.17597, 0.17550, 0.17556, 0.17558, 0.17556, 0.17550, 0.17597, 0.17673, 0.17761, 0.18700, 0.18820, 0.18931, 0.19019, 0.19030, 0.19037, 0.19039, 0.19037, 0.19030, 0.19019, 0.18931, 0.18820, 0.18700, 0.18580, 0.18469, 0.18443, 0.18455, 0.18462, 0.18465, 0.18462, 0.18455, 0.18443, 0.18469, 0.18580, 0.19451, 0.19651, 0.19702, 0.19710, 0.19712, 0.19710, + 0.19702, 0.19660, 0.19451, 0.19257, 0.19286, 0.19305, 0.19312, 0.19305, 0.19286, 0.19259, 0.17616, 0.17689, 0.17691, 0.17692, 0.17691, 0.17689, 0.17616, 0.17583, 0.17588, 0.17589, 0.17588, 0.17583; + + diff --git a/tutorials/resources/mini_compare_building.idf b/tutorials/resources/mini_compare_building.idf new file mode 100644 index 0000000..1892bef --- /dev/null +++ b/tutorials/resources/mini_compare_building.idf @@ -0,0 +1,300 @@ +!- Windows Line endings + +VERSION, + 9.4; !- Version Identifier + +SIMULATIONCONTROL, + No, !- Do Zone Sizing Calculation + No, !- Do System Sizing Calculation + No, !- Do Plant Sizing Calculation + No, !- Run Simulation for Sizing Periods + Yes, !- Run Simulation for Weather File Run Periods + No, !- Do HVAC Sizing Simulation for Sizing Periods + 1; !- Maximum Number of HVAC Sizing Simulation Passes + +BUILDING, + MiniCompareBuilding, !- Name + 0, !- North Axis + City, !- Terrain + 0.04, !- Loads Convergence Tolerance Value + 0.4, !- Temperature Convergence Tolerance Value + FullExterior, !- Solar Distribution + 25, !- Maximum Number of Warmup Days + 6; !- Minimum Number of Warmup Days + +TIMESTEP, + 4; !- Number of Timesteps per Hour + +RUNPERIOD, + rp, !- Name + 7, !- Begin Month + 1, !- Begin Day of Month + , !- Begin Year + 7, !- End Month + 5, !- End Day of Month + , !- End Year + , !- Day of Week for Start Day + Yes, !- Use Weather File Holidays and Special Days + Yes, !- Use Weather File Daylight Saving Period + No, !- Apply Weekend Holiday Rule + Yes, !- Use Weather File Rain Indicators + Yes, !- Use Weather File Snow Indicators + No; !- Treat Weather as Actual + +MATERIAL, + ConcreteBlock, !- Name + Rough, !- Roughness + 0.2, !- Thickness + 1, !- Conductivity + 1400, !- Density + 1000, !- Specific Heat + 0.9, !- Thermal Absorptance + 0.7, !- Solar Absorptance + 0.7; !- Visible Absorptance + +WINDOWMATERIAL:SIMPLEGLAZINGSYSTEM, + SimpleGlazing, !- Name + 2, !- UFactor + 0.6; !- Solar Heat Gain Coefficient + +CONSTRUCTION, + OpaqueConstruction, !- Name + ConcreteBlock; !- Outside Layer + +CONSTRUCTION, + WindowConstruction, !- Name + SimpleGlazing; !- Outside Layer + +GLOBALGEOMETRYRULES, + LowerLeftCorner, !- Starting Vertex Position + Counterclockwise, !- Vertex Entry Direction + World, !- Coordinate System + Relative, !- Daylighting Reference Point Coordinate System + Relative; !- Rectangular Surface Coordinate System + +ZONE, + Zone1, !- Name + 0, !- Direction of Relative North + 0, !- X Origin + 0, !- Y Origin + 0, !- Z Origin + 1, !- Type + 1, !- Multiplier + autocalculate, !- Ceiling Height + autocalculate, !- Volume + autocalculate, !- Floor Area + , !- Zone Inside Convection Algorithm + , !- Zone Outside Convection Algorithm + Yes; !- Part of Total Floor Area + +BUILDINGSURFACE:DETAILED, + Wall1, !- Name + Wall, !- Surface Type + OpaqueConstruction, !- Construction Name + Zone1, !- Zone Name + Outdoors, !- Outside Boundary Condition + , !- Outside Boundary Condition Object + SunExposed, !- Sun Exposure + WindExposed, !- Wind Exposure + autocalculate, !- View Factor to Ground + 4, !- Number of Vertices + 0, !- Vertex 1 Xcoordinate + 0, !- Vertex 1 Ycoordinate + 0, !- Vertex 1 Zcoordinate + 5, !- Vertex 2 Xcoordinate + 0, !- Vertex 2 Ycoordinate + 0, !- Vertex 2 Zcoordinate + 5, !- Vertex 3 Xcoordinate + 0, !- Vertex 3 Ycoordinate + 3, !- Vertex 3 Zcoordinate + 0, !- Vertex 4 Xcoordinate + 0, !- Vertex 4 Ycoordinate + 3; !- Vertex 4 Zcoordinate + +BUILDINGSURFACE:DETAILED, + Floor1, !- Name + Floor, !- Surface Type + OpaqueConstruction, !- Construction Name + Zone1, !- Zone Name + Ground, !- Outside Boundary Condition + , !- Outside Boundary Condition Object + NoSun, !- Sun Exposure + NoWind, !- Wind Exposure + autocalculate, !- View Factor to Ground + 4, !- Number of Vertices + 0, !- Vertex 1 Xcoordinate + 0, !- Vertex 1 Ycoordinate + 0, !- Vertex 1 Zcoordinate + 0, !- Vertex 2 Xcoordinate + 5, !- Vertex 2 Ycoordinate + 0, !- Vertex 2 Zcoordinate + 5, !- Vertex 3 Xcoordinate + 5, !- Vertex 3 Ycoordinate + 0, !- Vertex 3 Zcoordinate + 5, !- Vertex 4 Xcoordinate + 0, !- Vertex 4 Ycoordinate + 0; !- Vertex 4 Zcoordinate + +BUILDINGSURFACE:DETAILED, + Roof1, !- Name + Roof, !- Surface Type + OpaqueConstruction, !- Construction Name + Zone1, !- Zone Name + Outdoors, !- Outside Boundary Condition + , !- Outside Boundary Condition Object + SunExposed, !- Sun Exposure + WindExposed, !- Wind Exposure + autocalculate, !- View Factor to Ground + 4, !- Number of Vertices + 0, !- Vertex 1 Xcoordinate + 5, !- Vertex 1 Ycoordinate + 3, !- Vertex 1 Zcoordinate + 0, !- Vertex 2 Xcoordinate + 0, !- Vertex 2 Ycoordinate + 3, !- Vertex 2 Zcoordinate + 5, !- Vertex 3 Xcoordinate + 0, !- Vertex 3 Ycoordinate + 3, !- Vertex 3 Zcoordinate + 5, !- Vertex 4 Xcoordinate + 5, !- Vertex 4 Ycoordinate + 3; !- Vertex 4 Zcoordinate + +BUILDINGSURFACE:DETAILED, + Wall2, !- Name + Wall, !- Surface Type + OpaqueConstruction, !- Construction Name + Zone1, !- Zone Name + Outdoors, !- Outside Boundary Condition + , !- Outside Boundary Condition Object + SunExposed, !- Sun Exposure + WindExposed, !- Wind Exposure + autocalculate, !- View Factor to Ground + 4, !- Number of Vertices + 5, !- Vertex 1 Xcoordinate + 5, !- Vertex 1 Ycoordinate + 0, !- Vertex 1 Zcoordinate + 0, !- Vertex 2 Xcoordinate + 5, !- Vertex 2 Ycoordinate + 0, !- Vertex 2 Zcoordinate + 0, !- Vertex 3 Xcoordinate + 5, !- Vertex 3 Ycoordinate + 3, !- Vertex 3 Zcoordinate + 5, !- Vertex 4 Xcoordinate + 5, !- Vertex 4 Ycoordinate + 3; !- Vertex 4 Zcoordinate + +BUILDINGSURFACE:DETAILED, + Wall3, !- Name + Wall, !- Surface Type + OpaqueConstruction, !- Construction Name + Zone1, !- Zone Name + Outdoors, !- Outside Boundary Condition + , !- Outside Boundary Condition Object + SunExposed, !- Sun Exposure + WindExposed, !- Wind Exposure + autocalculate, !- View Factor to Ground + 4, !- Number of Vertices + 0, !- Vertex 1 Xcoordinate + 5, !- Vertex 1 Ycoordinate + 0, !- Vertex 1 Zcoordinate + 0, !- Vertex 2 Xcoordinate + 0, !- Vertex 2 Ycoordinate + 0, !- Vertex 2 Zcoordinate + 0, !- Vertex 3 Xcoordinate + 0, !- Vertex 3 Ycoordinate + 3, !- Vertex 3 Zcoordinate + 0, !- Vertex 4 Xcoordinate + 5, !- Vertex 4 Ycoordinate + 3; !- Vertex 4 Zcoordinate + +BUILDINGSURFACE:DETAILED, + Wall4, !- Name + Wall, !- Surface Type + OpaqueConstruction, !- Construction Name + Zone1, !- Zone Name + Outdoors, !- Outside Boundary Condition + , !- Outside Boundary Condition Object + SunExposed, !- Sun Exposure + WindExposed, !- Wind Exposure + autocalculate, !- View Factor to Ground + 4, !- Number of Vertices + 5, !- Vertex 1 Xcoordinate + 0, !- Vertex 1 Ycoordinate + 0, !- Vertex 1 Zcoordinate + 5, !- Vertex 2 Xcoordinate + 5, !- Vertex 2 Ycoordinate + 0, !- Vertex 2 Zcoordinate + 5, !- Vertex 3 Xcoordinate + 5, !- Vertex 3 Ycoordinate + 3, !- Vertex 3 Zcoordinate + 5, !- Vertex 4 Xcoordinate + 0, !- Vertex 4 Ycoordinate + 3; !- Vertex 4 Zcoordinate + +FENESTRATIONSURFACE:DETAILED, + Window1, !- Name + Window, !- Surface Type + WindowConstruction, !- Construction Name + Wall1, !- Building Surface Name + , !- Outside Boundary Condition Object + autocalculate, !- View Factor to Ground + , !- Frame and Divider Name + 1, !- Multiplier + 4, !- Number of Vertices + 1, !- Vertex 1 Xcoordinate + 0, !- Vertex 1 Ycoordinate + 1, !- Vertex 1 Zcoordinate + 4, !- Vertex 2 Xcoordinate + 0, !- Vertex 2 Ycoordinate + 1, !- Vertex 2 Zcoordinate + 4, !- Vertex 3 Xcoordinate + 0, !- Vertex 3 Ycoordinate + 2, !- Vertex 3 Zcoordinate + 1, !- Vertex 4 Xcoordinate + 0, !- Vertex 4 Ycoordinate + 2; !- Vertex 4 Zcoordinate + +ZONEHVAC:IDEALLOADSAIRSYSTEM, + Zone1 Ideal Loads, !- Name + , !- Availability Schedule Name + Zone1 Inlet, !- Zone Supply Air Node Name + , !- Zone Exhaust Air Node Name + , !- System Inlet Air Node Name + 50, !- Maximum Heating Supply Air Temperature + 13, !- Minimum Cooling Supply Air Temperature + 0.0156, !- Maximum Heating Supply Air Humidity Ratio + 0.0077, !- Minimum Cooling Supply Air Humidity Ratio + NoLimit, !- Heating Limit + , !- Maximum Heating Air Flow Rate + , !- Maximum Sensible Heating Capacity + NoLimit, !- Cooling Limit + , !- Maximum Cooling Air Flow Rate + , !- Maximum Total Cooling Capacity + , !- Heating Availability Schedule Name + , !- Cooling Availability Schedule Name + ConstantSensibleHeatRatio, !- Dehumidification Control Type + 0.7, !- Cooling Sensible Heat Ratio + None, !- Humidification Control Type + , !- Design Specification Outdoor Air Object Name + , !- Outdoor Air Inlet Node Name + None, !- Demand Controlled Ventilation Type + NoEconomizer, !- Outdoor Air Economizer Type + None, !- Heat Recovery Type + 0.7, !- Sensible Heat Recovery Effectiveness + 0.65; !- Latent Heat Recovery Effectiveness + +ZONEHVAC:EQUIPMENTLIST, + Zone1 Equipment, !- Name + SequentialLoad, !- Load Distribution Scheme + ZoneHVAC:IdealLoadsAirSystem, !- Zone Equipment 1 Object Type + Zone1 Ideal Loads, !- Zone Equipment 1 Name + 1, !- Zone Equipment 1 Cooling Sequence + 1; !- Zone Equipment 1 Heating or NoLoad Sequence + +ZONEHVAC:EQUIPMENTCONNECTIONS, + Zone1, !- Zone Name + Zone1 Equipment, !- Zone Conditioning Equipment List Name + Zone1 Inlet, !- Zone Air Inlet Node or NodeList Name + , !- Zone Air Exhaust Node or NodeList Name + Zone1 Air Node, !- Zone Air Node Name + Zone1 Return; !- Zone Return Air Node or NodeList Name \ No newline at end of file