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mf_newforms • Show schema
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{'Nk2': 1092, 'analytic_conductor': 2.1799159751809545, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 91, 'char_degree': 4, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 51, 'char_orbit_label': 'by', 'char_order': 12, 'char_parity': 1, 'char_values': [273, 12, [92, 157, 106], [12, 6, 7]], 'cm_discs': [], 'conrey_index': 76, 'conrey_indexes': [76, 97, 202, 223], 'dim': 32, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [576, -3168, 32904, -82116, 339705, -117684, -262089, -675594, -636960, 1509804, 2020173, 893238, -166394, -1218628, -673543, 100398, 90003, 203540, 182806, -3296, -40469, -26164, -8633, 4794, 3019, 404, 112, -96, -67, -8, -1, 2, 1]], [5, [404653456, -170342288, 35853512, 287548748, 2231770265, -656854246, 180933570, 1344092074, 2717123851, 261716656, 139424820, 569289060, 998281059, 239230874, 38932842, 57438110, 126926891, 36616704, 4119060, -987992, 4494824, 1087128, 115940, -85244, 71882, 9260, 992, -916, 501, 18, 2, -2, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 1092, 'analytic_conductor': 2.1799159751809545, 'char_conductor': 91, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 51, 'char_orbit_label': 'by', 'char_order': 12, 'char_parity': 1, 'char_values': [273, 12, [92, 157, 106], [12, 6, 7]], 'conrey_index': 76, 'cusp_dim': 136, 'dim': 72, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 5], 'hecke_orbit_code': 3436007391505, 'hecke_orbit_dims': [4, 4, 32, 32], 'label': '273.2.by', 'level': 273, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [3, 7, 13], 'level_radical': 273, 'mf_dim': 168, 'mf_new_dim': 72, 'num_forms': 4, 'prim_orbit_index': 29, 'relative_dim': 18, 'sturm_bound': 74, 'trace_bound': 5, 'trace_display': [0, 0, 0, -2], 'traces': [72, 0, 0, 0, 0, 0, -2, 0, 36, 0, -16, 0, 0, 48, 0, 24, 0, 0, 0, 0, -10, -16, 0, 0, 0, 0, 0, -56, -8, 0, 0, -40, 0, 0, -8, 0, -28, 0, 8, 0, 0, -12, -12, -16, 0, -112, 0, 0, -30, 176, 0, 0, -112, 0, 0, -180, 48, 48, 0, -104, 0, 0, -4, 0, 32, 0, 16, 0, 0, -56, -24, 0, 0, -16, 0, 0, 0, -8, 48, 0, -36, 0, 0, 20, -56, -48, 0, 216, 0, 0, 86, -80, 12, 0, 96, 0, 0, 36, 16, -80, 0, 96, 0, 0, 48, 56, -24, 0, 44, 0, 0, 32, -8, -72, 0, 0, 0, 0, 56, -32, -192, 0, 40, 0, 0, 24, 72, 80, 0, 40, 0, 0, -6, -24, 0, 0, -80, 0, 0, 36, -56, 0, 0, 48, 0, 0, 48, 0, -64, 0, -208, 0, 0, -48, 0, -80, 0, 192, 0, 0, 44, 0, 192, 0, 16, 0, 0, 0, 20, 464, 0, 0, 0, 0, 16, -32, 16, 0, 240, 0, 0, 0, 8, -144, 0, 48, 0, 0, -8, 88, 48, 0, 108, 0, 0, 240, -32, 16, 0, 64, 0, 0, 12, -64, -24, 0, 0, 0, 0, -144, -56, -288, 0, -104, 0, 0, 74, -96, -28, 0, -96, 0, 0, 116, 0, 16, 0, -120, 0, 0, -132, -288, 0, 0, -240, 0, 0, -60, -144, 200, 0, 272, 0, 0, -80, 0, 44, 0, -24, 0, 0, -4, -296, -168, 0, -56, 0, 0, 0, -240, -16, 0, 24, 0, 0, 160, -64, 336, 0, 0, 0, 0, 34, -336, -264, 0, 336, 0, 0, 148, -328, -112, 0, -88, 0, 0, 72, 40, 12, 0, 12, 0, 0, 16, -40, -456, 0, 0, 0, 0, 36, 112, -144, 0, -208, 0, 0, -112, 144, -248, 0, -88, 0, 0, 8, 72, -80, 0, 16, 0, 0, -312, 176, 0, 0, -592, 0, 0, -180, 48, 80, 0, -32, 0, 0, 144, 0, 432, 0, 48, 0, 0, 16, 672, 208, 0, -56, 0, 0, 0, 4, 0, 0, 48, 0, 0, 4, 88, 128, 0, 48, 0, 0, -72, -32, 128, 0, 384, 0, 0, 224, 152, 136, 0, 264, 0, 0, -24, 180, -120, 0, -40, 0, 0, -8, 352, -12, 0, 0, 0, 0, -8, 0, 72, 0, 112, 0, 0, 50, 456, 152, 0, -128, 0, 0, -20, 456, -176, 0, -192, 0, 0, -72, -152, 0, 0, -128, 0, 0, 144, 300, -136, 0, -32, 0, 0, -102, 0, -56, 0, 128, 0, 0, -208, -336, 72, 0, 112, 0, 0, 0, 312, 208, 0, -120, 0, 0, 28, 96, 40, 0, 432, 0, 0, -136, 32, -64, 0, 24, 0, 0, -24, 140, 208, 0, 208, 0, 0, 212, -592, 64, 0, 144, 0, 0, 384, -56, -72, 0, 0, 0, 0, -156, 104, 288, 0, 20, 0, 0, 64, -360, -64, 0, -144, 0, 0, -40, 0, -176, 0, 24, 0, 0, -180, -256, 0, 0, -528, 0, 0, -6, -200, 36, 0, 0, 0, 0, -388, 0, -336, 0, -24, 0, 0, -26, -200, 152, 0, 140, 0, 0, 0, -72, 32, 0, -176, 0, 0, -160, -16, -20, 0, -192, 0, 0, 32, 376, -80, 0, 408, 0, 0, -260, -424, 16, 0, -528, 0, 0, -200, 160, 328, 0, -104, 0, 0, -2, -248, -240, 0, 0, 0, 0, -332, -96, -192, 0, -584, 0, 0, -236, 408, -120, 0, -128, 0, 0, -116, -60, 424, 0, -256, 0, 0, -348, 984, 0, 0, 144, 0, 0, -564, 68, 88, 0, -320, 0, 0, 100, 0, -72, 0, 80, 0, 0, -24, 336, 136, 0, -408, 0, 0, 0, 304, -168, 0, -56, 0, 0, 20, -336, -392, 0, -120, 0, 0, 232, -336, 96, 0, -48, 0, 0, 392, 360, -280, 0, 0, 0, 0, 312, 408, -160, 0, -80, 0, 0, -8, 360, 192, 0, 0, 0, 0, 380, 16, -480, 0, 76, 0, 0, 176, -204, -568, 0, -304, 0, 0, 10, -168, 0, 0, 136, 0, 0, 708, -348, 0, 0, -48, 0, 0, 0, -304, 136, 0, 184, 0, 0, 528, 0, -40, 0, 504, 0, 0, 292, -584, 324, 0, 24, 0, 0, 0, 56, 448, 0, 216, 0, 0, 134, 32, -120, 0, 624, 0, 0, -40, -72, 392, 0, 192, 0, 0, -184, 240, 32, 0, 236, 0, 0, 24, 48, 152, 0, 296, 0, 0, 228, -320, 360, 0, 0, 0, 0, -8, 40, 816, 0, 488, 0, 0, 0, -840, 8, 0, 512, 0, 0, 128, 0, 16, 0, 48, 0, 0, -138, -200, 0, 0, -48, 0, 0, -120, 256, -16, 0, 24, 0, 0, -144, 0, -20, 0, -112, 0, 0, 0, -40, -392, 0, 144, 0, 0, 0, -352, -352, 0, -8, 0, 0, -92, -68, -144, 0, -312, 0, 0, 58, 32, -464, 0, -264, 0, 0, 176, -472, -40, 0, -208, 0, 0, -56, 328, -88, 0, 12, 0, 0, -320, -316, -456, 0, 0, 0, 0, -326, -40, -348, 0, -384, 0, 0, -56, 96, 488, 0, 304, 0, 0, -8, -240, -200, 0, -104, 0, 0, -72, 624, 0, 0, 160, 0, 0, 12, 8, 276, 0, 0, 0, 0, 84, 0, 432, 0, -360, 0, 0, 2, 872, 32, 0, -232, 0, 0, 0, 104, 128, 0, 80, 0, 0, 52, 152, 384, 0, 0, 0, 0, 108, -32, 160, 0, -480, 0, 0, 20, 96, 160, 0, 300, 0, 0, 192, -12, 0, 0, 440, 0, 0, -360, 408, 336, 0, 0, 0, 0, 468, -52, -456, 0, 496, 0, 0, 24, 720, 320, 0, 64, 0, 0, -140, -72, 136, 0, -72, 0, 0, 348, -880, 0, 0, -48, 0, 0, 216, -200, -664, 0, -920, 0, 0, -28, 0, -32, 0, 384, 0, 0, -224, -56, -128, 0, 336, 0, 0, 0, -456, -96, 0, -56, 0, 0, 344, -168, 152, 0, 768, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 43803356
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 97, 'source_dim': 32, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13514234889502993, 'source_is_minimal': True, 'source_label': '273.2.by.d.97.1', 'source_level': 273, 'target_conrey_index': 97, 'target_dim': 32, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13514234889502993, 'target_is_minimal': True, 'target_label': '273.2.by.d.97.1', 'target_level': 273, 'twist_class_label': '273.2.by.c.76.1', 'twist_class_level': 273, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 43803357
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 97, 'source_dim': 32, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13514234889502993, 'source_is_minimal': True, 'source_label': '273.2.by.d.97.1', 'source_level': 273, 'target_conrey_index': 370, 'target_dim': 32, 'target_embedding_index': 8, 'target_hecke_orbit_code': 18024156708733747, 'target_is_minimal': False, 'target_label': '819.2.fm.e.370.8', 'target_level': 819, 'twist_class_label': '273.2.by.c.76.1', 'twist_class_level': 273, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 43803358
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 97, 'source_dim': 32, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13514234889502993, 'source_is_minimal': True, 'source_label': '273.2.by.d.97.1', 'source_level': 273, 'target_conrey_index': 97, 'target_dim': 32, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9010635262132497, 'target_is_minimal': True, 'target_label': '273.2.by.c.97.1', 'target_level': 273, 'twist_class_label': '273.2.by.c.76.1', 'twist_class_level': 273, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 43803359
{'conductor': 13, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 97, 'source_dim': 32, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13514234889502993, 'source_is_minimal': True, 'source_label': '273.2.by.d.97.1', 'source_level': 273, 'target_conrey_index': 76, 'target_dim': 32, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9010635262132497, 'target_is_minimal': True, 'target_label': '273.2.by.c.76.1', 'target_level': 273, 'twist_class_label': '273.2.by.c.76.1', 'twist_class_level': 273, 'twisting_char_label': '13.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 43803360
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 97, 'source_dim': 32, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13514234889502993, 'source_is_minimal': True, 'source_label': '273.2.by.d.97.1', 'source_level': 273, 'target_conrey_index': 370, 'target_dim': 32, 'target_embedding_index': 8, 'target_hecke_orbit_code': 22527756336104243, 'target_is_minimal': False, 'target_label': '819.2.fm.f.370.8', 'target_level': 819, 'twist_class_label': '273.2.by.c.76.1', 'twist_class_level': 273, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 43803361
{'conductor': 39, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 97, 'source_dim': 32, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13514234889502993, 'source_is_minimal': True, 'source_label': '273.2.by.d.97.1', 'source_level': 273, 'target_conrey_index': 622, 'target_dim': 32, 'target_embedding_index': 8, 'target_hecke_orbit_code': 22527756336104243, 'target_is_minimal': False, 'target_label': '819.2.fm.f.622.8', 'target_level': 819, 'twist_class_label': '273.2.by.c.76.1', 'twist_class_level': 273, 'twisting_char_label': '39.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 43803362
{'conductor': 91, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 97, 'source_dim': 32, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13514234889502993, 'source_is_minimal': True, 'source_label': '273.2.by.d.97.1', 'source_level': 273, 'target_conrey_index': 76, 'target_dim': 32, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13514234889502993, 'target_is_minimal': True, 'target_label': '273.2.by.d.76.1', 'target_level': 273, 'twist_class_label': '273.2.by.c.76.1', 'twist_class_level': 273, 'twisting_char_label': '91.76', 'twisting_conrey_index': 76, 'weight': 2}
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id: 43803363
{'conductor': 273, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 97, 'source_dim': 32, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13514234889502993, 'source_is_minimal': True, 'source_label': '273.2.by.d.97.1', 'source_level': 273, 'target_conrey_index': 622, 'target_dim': 32, 'target_embedding_index': 8, 'target_hecke_orbit_code': 18024156708733747, 'target_is_minimal': False, 'target_label': '819.2.fm.e.622.8', 'target_level': 819, 'twist_class_label': '273.2.by.c.76.1', 'twist_class_level': 273, 'twisting_char_label': '273.167', 'twisting_conrey_index': 167, 'weight': 2}
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hecke_orbit_code 13514234889502993 does not appear in mf_hecke_charpolys
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 51, 'hecke_orbit': 4, 'label': '273.2.by.d', 'level': 273, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 146419000
{'hecke_orbit_code': 13514234889502993, 'n': 1, 'trace_an': 32}
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id: 146419001
{'hecke_orbit_code': 13514234889502993, 'n': 2, 'trace_an': -2}
-
id: 146419002
{'hecke_orbit_code': 13514234889502993, 'n': 3, 'trace_an': 0}
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id: 146419003
{'hecke_orbit_code': 13514234889502993, 'n': 4, 'trace_an': 6}
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id: 146419004
{'hecke_orbit_code': 13514234889502993, 'n': 5, 'trace_an': 2}
-
id: 146419005
{'hecke_orbit_code': 13514234889502993, 'n': 6, 'trace_an': -2}
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id: 146419006
{'hecke_orbit_code': 13514234889502993, 'n': 7, 'trace_an': 2}
-
id: 146419007
{'hecke_orbit_code': 13514234889502993, 'n': 8, 'trace_an': 2}
-
id: 146419008
{'hecke_orbit_code': 13514234889502993, 'n': 9, 'trace_an': 16}
-
id: 146419009
{'hecke_orbit_code': 13514234889502993, 'n': 10, 'trace_an': 2}
-
id: 146419010
{'hecke_orbit_code': 13514234889502993, 'n': 11, 'trace_an': -4}
-
id: 146419011
{'hecke_orbit_code': 13514234889502993, 'n': 12, 'trace_an': 32}
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id: 146419012
{'hecke_orbit_code': 13514234889502993, 'n': 13, 'trace_an': 6}
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id: 146419013
{'hecke_orbit_code': 13514234889502993, 'n': 14, 'trace_an': 34}
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id: 146419014
{'hecke_orbit_code': 13514234889502993, 'n': 15, 'trace_an': 4}
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id: 146419015
{'hecke_orbit_code': 13514234889502993, 'n': 16, 'trace_an': 14}
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id: 146419016
{'hecke_orbit_code': 13514234889502993, 'n': 17, 'trace_an': -8}
-
id: 146419017
{'hecke_orbit_code': 13514234889502993, 'n': 18, 'trace_an': 2}
-
id: 146419018
{'hecke_orbit_code': 13514234889502993, 'n': 19, 'trace_an': 2}
-
id: 146419019
{'hecke_orbit_code': 13514234889502993, 'n': 20, 'trace_an': 44}
-
id: 146419020
{'hecke_orbit_code': 13514234889502993, 'n': 21, 'trace_an': -4}
-
id: 146419021
{'hecke_orbit_code': 13514234889502993, 'n': 22, 'trace_an': -4}
-
id: 146419022
{'hecke_orbit_code': 13514234889502993, 'n': 23, 'trace_an': -18}
-
id: 146419023
{'hecke_orbit_code': 13514234889502993, 'n': 24, 'trace_an': 4}
-
id: 146419024
{'hecke_orbit_code': 13514234889502993, 'n': 25, 'trace_an': 0}
-
id: 146419025
{'hecke_orbit_code': 13514234889502993, 'n': 26, 'trace_an': -28}
-
id: 146419026
{'hecke_orbit_code': 13514234889502993, 'n': 27, 'trace_an': 0}
-
id: 146419027
{'hecke_orbit_code': 13514234889502993, 'n': 28, 'trace_an': -32}
-
id: 146419028
{'hecke_orbit_code': 13514234889502993, 'n': 29, 'trace_an': -18}
-
id: 146419029
{'hecke_orbit_code': 13514234889502993, 'n': 30, 'trace_an': 0}
-
id: 146419030
{'hecke_orbit_code': 13514234889502993, 'n': 31, 'trace_an': -14}
-
id: 146419031
{'hecke_orbit_code': 13514234889502993, 'n': 32, 'trace_an': -8}
-
id: 146419032
{'hecke_orbit_code': 13514234889502993, 'n': 33, 'trace_an': 4}
-
id: 146419033
{'hecke_orbit_code': 13514234889502993, 'n': 34, 'trace_an': -66}
-
id: 146419034
{'hecke_orbit_code': 13514234889502993, 'n': 35, 'trace_an': 22}
-
id: 146419035
{'hecke_orbit_code': 13514234889502993, 'n': 36, 'trace_an': 6}
-
id: 146419036
{'hecke_orbit_code': 13514234889502993, 'n': 37, 'trace_an': -24}
-
id: 146419037
{'hecke_orbit_code': 13514234889502993, 'n': 38, 'trace_an': 24}
-
id: 146419038
{'hecke_orbit_code': 13514234889502993, 'n': 39, 'trace_an': 8}
-
id: 146419039
{'hecke_orbit_code': 13514234889502993, 'n': 40, 'trace_an': 0}
-
id: 146419040
{'hecke_orbit_code': 13514234889502993, 'n': 41, 'trace_an': 0}
-
id: 146419041
{'hecke_orbit_code': 13514234889502993, 'n': 42, 'trace_an': -26}
-
id: 146419042
{'hecke_orbit_code': 13514234889502993, 'n': 43, 'trace_an': -6}
-
id: 146419043
{'hecke_orbit_code': 13514234889502993, 'n': 44, 'trace_an': -20}
-
id: 146419044
{'hecke_orbit_code': 13514234889502993, 'n': 45, 'trace_an': 4}
-
id: 146419045
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