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mf_newforms • Show schema
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{'Nk2': 8208, 'analytic_conductor': 24.850200109659077, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 4, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 13, 'char_orbit_label': 'm', 'char_order': 2, 'char_parity': -1, 'char_values': [912, 2, [799, 229, 305, 97], [1, 2, 2, 2]], 'cm_discs': [], 'conrey_index': 799, 'dim': 12, 'field_disc': 17848140733854081954801, 'field_disc_factorization': [[3, 6], [19, 6], [59, 2], [12227, 2]], 'field_poly': [841, 0, 13245, 0, 25219, 0, 9566, 0, 1243, 0, 61, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [16, 384, 2068, -104, -95, 2, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9008023938794384, 'hecke_ring_generator_nbound': 19, 'hecke_ring_index': 65536, 'hecke_ring_index_factorization': [[2, 16]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 8208, 'analytic_conductor': 24.850200109659077, 'char_conductor': 4, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 13, 'char_orbit_label': 'm', 'char_order': 2, 'char_parity': -1, 'char_values': [912, 2, [799, 229, 305, 97], [1, 2, 2, 2]], 'conrey_index': 799, 'cusp_dim': 308, 'dim': 36, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 824684053392, 'hecke_orbit_dims': [12, 12, 12], 'label': '912.3.m', 'level': 912, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 19], 'level_radical': 114, 'mf_dim': 332, 'mf_new_dim': 36, 'num_forms': 3, 'prim_orbit_index': 2, 'relative_dim': 36, 'sturm_bound': 480, 'trace_bound': 17, 'trace_display': [0, 0, -24, 0], 'traces': [36, 0, 0, 0, -24, 0, 0, 0, -108, 0, 0, 0, 72, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 156, 0, 0, 0, -120, 0, 0, 0, -144, 0, 0, 0, -24, 0, 0, 0, 120, 0, 0, 0, 72, 0, 0, 0, -12, 0, 0, 0, 168, 0, 0, 0, 0, 0, 0, 0, -120, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, -408, 0, 0, 0, -48, 0, 0, 0, 324, 0, 0, 0, 96, 0, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, 264, 0, 0, 0, -360, 0, 0, 0, 288, 0, 0, 0, 360, 0, 0, 0, -168, 0, 0, 0, -216, 0, 0, 0, -60, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, -264, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 840, 0, 0, 0, -72, 0, 0, 0, -168, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, -408, 0, 0, 0, 144, 0, 0, 0, -792, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 936, 0, 0, 0, -168, 0, 0, 0, 864, 0, 0, 0, 336, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1152, 0, 0, 0, 912, 0, 0, 0, -468, 0, 0, 0, 312, 0, 0, 0, 408, 0, 0, 0, 144, 0, 0, 0, -1464, 0, 0, 0, 600, 0, 0, 0, 144, 0, 0, 0, -240, 0, 0, 0, 504, 0, 0, 0, 360, 0, 0, 0, 144, 0, 0, 0, -3000, 0, 0, 0, -576, 0, 0, 0, -1608, 0, 0, 0, -552, 0, 0, 0, 0, 0, 0, 0, 1404, 0, 0, 0, 2472, 0, 0, 0, 432, 0, 0, 0, 1296, 0, 0, 0, 288, 0, 0, 0, -432, 0, 0, 0, 504, 0, 0, 0, 1416, 0, 0, 0, -720, 0, 0, 0, -1224, 0, 0, 0, 432, 0, 0, 0, 72, 0, 0, 0, 360, 0, 0, 0, -96, 0, 0, 0, 288, 0, 0, 0, 984, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, -684, 0, 0, 0, -960, 0, 0, 0, -360, 0, 0, 0, -1656, 0, 0, 0, -2064, 0, 0, 0, 288, 0, 0, 0, -1104, 0, 0, 0, -696, 0, 0, 0, -1584, 0, 0, 0, 792, 0, 0, 0, 1368, 0, 0, 0, -216, 0, 0, 0, 3336, 0, 0, 0, -1632, 0, 0, 0, -288, 0, 0, 0, 2184, 0, 0, 0, 216, 0, 0, 0, 0, 0, 0, 0, 2184, 0, 0, 0, 912, 0, 0, 0, 36, 0, 0, 0, -240, 0, 0, 0, -1512, 0, 0, 0, -144, 0, 0, 0, -792, 0, 0, 0, 72, 0, 0, 0, 1152, 0, 0, 0, 4896, 0, 0, 0, -1104, 0, 0, 0, -504, 0, 0, 0, -1392, 0, 0, 0, -4944, 0, 0, 0, -2304, 0, 0, 0, 1584, 0, 0, 0, 3936, 0, 0, 0, 288, 0, 0, 0, 2736, 0, 0, 0, -2712, 0, 0, 0, 0, 0, 0, 0, 576, 0, 0, 0, -1512, 0, 0, 0, 0, 0, 0, 0, -5676, 0, 0, 0, -432, 0, 0, 0, 1872, 0, 0, 0, -4536, 0, 0, 0, -2352, 0, 0, 0, 360, 0, 0, 0, 2688, 0, 0, 0, 3336, 0, 0, 0, 2304, 0, 0, 0, 1488, 0, 0, 0, 408, 0, 0, 0, -864, 0, 0, 0, -312, 0, 0, 0, -1920, 0, 0, 0, 432, 0, 0, 0, 912, 0, 0, 0, -24, 0, 0, 0, 1440, 0, 0, 0, -312, 0, 0, 0, 12024, 0, 0, 0, 576, 0, 0, 0, -2232, 0, 0, 0, 1464, 0, 0, 0, 0, 0, 0, 0, -3372, 0, 0, 0, -3888, 0, 0, 0, 288, 0, 0, 0, -6264, 0, 0, 0, 2232, 0, 0, 0, 0, 0, 0, 0, -4032, 0, 0, 0, -888, 0, 0, 0, 1224, 0, 0, 0, -3192, 0, 0, 0, -912, 0, 0, 0, -1008, 0, 0, 0, 264, 0, 0, 0, 4392, 0, 0, 0, 432, 0, 0, 0, -1824, 0, 0, 0, -528, 0, 0, 0, 144, 0, 0, 0, -4464, 0, 0, 0, 2520, 0, 0, 0, 2592, 0, 0, 0, 1752, 0, 0, 0, 5760, 0, 0, 0, 1728, 0, 0, 0, -768, 0, 0, 0, 408, 0, 0, 0, -972, 0, 0, 0, -2568, 0, 0, 0, 3744, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, -288, 0, 0, 0, -432, 0, 0, 0, 984, 0, 0, 0, -2184, 0, 0, 0, -288, 0, 0, 0, 8136, 0, 0, 0, 1416, 0, 0, 0, -2880, 0, 0, 0, -1536, 0, 0, 0, -5328, 0, 0, 0, -288, 0, 0, 0, -3792, 0, 0, 0, -1368, 0, 0, 0, -360, 0, 0, 0, 576, 0, 0, 0, 2616, 0, 0, 0, -1152, 0, 0, 0, -1824, 0, 0, 0, -216, 0, 0, 0, -3888, 0, 0, 0, 2472, 0, 0, 0, -12312, 0, 0, 0, 0, 0, 0, 0, 8508, 0, 0, 0, -3720, 0, 0, 0, -1152, 0, 0, 0, 6696, 0, 0, 0, 3480, 0, 0, 0, -1152, 0, 0, 0, 9936, 0, 0, 0, -672, 0, 0, 0, -792, 0, 0, 0, -1464, 0, 0, 0, 2328, 0, 0, 0, -2592, 0, 0, 0, 7776, 0, 0, 0, 1824, 0, 0, 0, -2016, 0, 0, 0, 8784, 0, 0, 0, -3312, 0, 0, 0, 1080, 0, 0, 0, -1584, 0, 0, 0, -8592, 0, 0, 0, 3600, 0, 0, 0, 3288, 0, 0, 0, -1944, 0, 0, 0, -2304, 0, 0, 0, -4488, 0, 0, 0, -7704, 0, 0, 0, -864, 0, 0, 0, -1968, 0, 0, 0, -1224, 0, 0, 0, 2160, 0, 0, 0, -2268, 0, 0, 0, -6960, 0, 0, 0, 0, 0, 0, 0, 4752, 0, 0, 0, -2664, 0, 0, 0, -1080, 0, 0, 0, -3024, 0, 0, 0, 11232, 0, 0, 0, -720, 0, 0, 0, -11640, 0, 0, 0], 'weight': 3, 'weight_parity': -1}
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mf_twists_cc • Show schema
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id: 41305615
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 799, 'source_dim': 12, 'source_embedding_index': 5, 'source_hecke_orbit_code': 9008023938794384, 'source_is_minimal': True, 'source_label': '912.3.m.c.799.5', 'source_level': 912, 'target_conrey_index': 799, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 9008023938794384, 'target_is_minimal': True, 'target_label': '912.3.m.c.799.5', 'target_level': 912, 'twist_class_label': '912.3.m.c.799.5', 'twist_class_level': 912, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 3}
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id: 41305616
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 799, 'source_dim': 12, 'source_embedding_index': 5, 'source_hecke_orbit_code': 9008023938794384, 'source_is_minimal': True, 'source_label': '912.3.m.c.799.5', 'source_level': 912, 'target_conrey_index': 1711, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 13511623566166704, 'target_is_minimal': False, 'target_label': '2736.3.m.d.1711.3', 'target_level': 2736, 'twist_class_label': '912.3.m.c.799.5', 'twist_class_level': 912, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 3}
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id: 41305617
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 799, 'source_dim': 12, 'source_embedding_index': 5, 'source_hecke_orbit_code': 9008023938794384, 'source_is_minimal': True, 'source_label': '912.3.m.c.799.5', 'source_level': 912, 'target_conrey_index': 799, 'target_dim': 12, 'target_embedding_index': 11, 'target_hecke_orbit_code': 9008023938794384, 'target_is_minimal': True, 'target_label': '912.3.m.c.799.11', 'target_level': 912, 'twist_class_label': '912.3.m.c.799.5', 'twist_class_level': 912, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 3}
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id: 41305618
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 799, 'source_dim': 12, 'source_embedding_index': 5, 'source_hecke_orbit_code': 9008023938794384, 'source_is_minimal': True, 'source_label': '912.3.m.c.799.5', 'source_level': 912, 'target_conrey_index': 1711, 'target_dim': 12, 'target_embedding_index': 4, 'target_hecke_orbit_code': 13511623566166704, 'target_is_minimal': False, 'target_label': '2736.3.m.d.1711.4', 'target_level': 2736, 'twist_class_label': '912.3.m.c.799.5', 'twist_class_level': 912, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 3}
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mf_hecke_charpolys • Show schema
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id: 1486075
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 9008023938794384, 'p': 2}
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id: 1486076
{'charpoly_factorization': [[[3, 0, 1], 6]], 'hecke_orbit_code': 9008023938794384, 'p': 3}
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id: 1486077
{'charpoly_factorization': [[[16, 384, 2068, -104, -95, 2, 1], 2]], 'hecke_orbit_code': 9008023938794384, 'p': 5}
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id: 1486078
{'charpoly_factorization': [[[3211264, 0, 8396800, 0, 4074240, 0, 486816, 0, 17225, 0, 230, 0, 1], 1]], 'hecke_orbit_code': 9008023938794384, 'p': 7}
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id: 1486079
{'charpoly_factorization': [[[330366976, 0, 317513728, 0, 86736640, 0, 5207264, 0, 95281, 0, 606, 0, 1], 1]], 'hecke_orbit_code': 9008023938794384, 'p': 11}
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id: 1486080
{'charpoly_factorization': [[[102592, 217408, 107392, -736, -680, 0, 1], 2]], 'hecke_orbit_code': 9008023938794384, 'p': 13}
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id: 1486081
{'charpoly_factorization': [[[19600, 66880, -46024, 9144, -507, -10, 1], 2]], 'hecke_orbit_code': 9008023938794384, 'p': 17}
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id: 1486082
{'charpoly_factorization': [[[19, 0, 1], 6]], 'hecke_orbit_code': 9008023938794384, 'p': 19}
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id: 1486083
{'charpoly_factorization': [[[276072314699776, 0, 26753748549632, 0, 485257136384, 0, 2505539712, 0, 4730928, 0, 3688, 0, 1], 1]], 'hecke_orbit_code': 9008023938794384, 'p': 23}
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id: 1486084
{'charpoly_factorization': [[[-89489600, -8422720, 2945392, -29408, -3668, 12, 1], 2]], 'hecke_orbit_code': 9008023938794384, 'p': 29}
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id: 1486085
{'charpoly_factorization': [[[5922555927924736, 0, 703622704713728, 0, 6902839307264, 0, 16146464640, 0, 15486912, 0, 6544, 0, 1], 1]], 'hecke_orbit_code': 9008023938794384, 'p': 31}
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id: 1486086
{'charpoly_factorization': [[[-2250752, 1003648, 347184, -49824, -2236, 20, 1], 2]], 'hecke_orbit_code': 9008023938794384, 'p': 37}
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id: 1486087
{'charpoly_factorization': [[[-2028879872, 85886336, 8093264, -141600, -7320, 16, 1], 2]], 'hecke_orbit_code': 9008023938794384, 'p': 41}
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id: 1486088
{'charpoly_factorization': [[[39167532108399837184, 0, 305685018514833408, 0, 478563180416512, 0, 319930031936, 0, 105539065, 0, 16726, 0, 1], 1]], 'hecke_orbit_code': 9008023938794384, 'p': 43}
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id: 1486089
{'charpoly_factorization': [[[12748027740352033024, 0, 65910586538296960, 0, 122140481535280, 0, 107878220264, 0, 49223905, 0, 11190, 0, 1], 1]], 'hecke_orbit_code': 9008023938794384, 'p': 47}
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id: 1486090
{'charpoly_factorization': [[[114216256, -103739328, -400784, 194912, -884, -92, 1], 2]], 'hecke_orbit_code': 9008023938794384, 'p': 53}
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id: 1486091
{'charpoly_factorization': [[[23631249261929168896, 0, 151796221688676352, 0, 309252342153216, 0, 265286320128, 0, 103399424, 0, 17408, 0, 1], 1]], 'hecke_orbit_code': 9008023938794384, 'p': 59}
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id: 1486092
{'charpoly_factorization': [[[3171014224, 459117280, -4003976, -610960, -1391, 138, 1], 2]], 'hecke_orbit_code': 9008023938794384, 'p': 61}
-
id: 1486093
{'charpoly_factorization': [[[53814274321593401344, 0, 1203607593667264512, 0, 3322283962728448, 0, 1678584209408, 0, 338861824, 0, 30304, 0, 1], 1]], 'hecke_orbit_code': 9008023938794384, 'p': 67}
-
id: 1486094
{'charpoly_factorization': [[[15959818272461497040896, 0, 41541234387530547200, 0, 24151627066769408, 0, 6033063493632, 0, 744691968, 0, 44320, 0, 1], 1]], 'hecke_orbit_code': 9008023938794384, 'p': 71}
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id: 1486095
{'charpoly_factorization': [[[-180480268400, 2814224480, 108215336, -741840, -18999, 46, 1], 2]], 'hecke_orbit_code': 9008023938794384, 'p': 73}
-
id: 1486096
{'charpoly_factorization': [[[4203463738581975040000, 0, 12710088453477990400, 0, 11948716967405824, 0, 4140595451264, 0, 629306224, 0, 42168, 0, 1], 1]], 'hecke_orbit_code': 9008023938794384, 'p': 79}
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id: 1486097
{'charpoly_factorization': [[[9233111258348193316864, 0, 20286330420145946624, 0, 15953306095517696, 0, 5598025924608, 0, 879048192, 0, 52672, 0, 1], 1]], 'hecke_orbit_code': 9008023938794384, 'p': 83}
-
id: 1486098
{'charpoly_factorization': [[[-7968369600, -2352006720, 31833072, 1338912, -21060, -36, 1], 2]], 'hecke_orbit_code': 9008023938794384, 'p': 89}
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id: 1486099
{'charpoly_factorization': [[[-8659749056, 5431288512, 101595760, -2215904, -19604, 140, 1], 2]], 'hecke_orbit_code': 9008023938794384, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 13, 'hecke_orbit': 3, 'label': '912.3.m.c', 'level': 912, 'portrait': 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', 'weight': 3}
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mf_hecke_traces • Show schema
Hide schema
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id: 31556731
{'hecke_orbit_code': 9008023938794384, 'n': 1, 'trace_an': 12}
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id: 31556732
{'hecke_orbit_code': 9008023938794384, 'n': 2, 'trace_an': 0}
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id: 31556733
{'hecke_orbit_code': 9008023938794384, 'n': 3, 'trace_an': 0}
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id: 31556734
{'hecke_orbit_code': 9008023938794384, 'n': 4, 'trace_an': 0}
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id: 31556735
{'hecke_orbit_code': 9008023938794384, 'n': 5, 'trace_an': -4}
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id: 31556736
{'hecke_orbit_code': 9008023938794384, 'n': 6, 'trace_an': 0}
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id: 31556737
{'hecke_orbit_code': 9008023938794384, 'n': 7, 'trace_an': 0}
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id: 31556738
{'hecke_orbit_code': 9008023938794384, 'n': 8, 'trace_an': 0}
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id: 31556739
{'hecke_orbit_code': 9008023938794384, 'n': 9, 'trace_an': -36}
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