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{'Nk2': 32256, 'analytic_conductor': 157.44205284399737, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [7, -1]], 'atkin_lehner_string': '---', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [504, 1, [127, 253, 281, 73], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 3, 'field_disc': 797917208, 'field_disc_factorization': [[2, 3], [11, 1], [9067241, 1]], 'field_poly': [-26848, -4400, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[5, [-13116800, -101280, 414, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31525197525811704, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 288, 'hecke_ring_index_factorization': [[2, 5], [3, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '504.8.a.h', 'level': 504, '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, 7], 'level_radical': 42, 'minimal_twist': '168.8.a.i', 'prim_orbit_index': 1, 'qexp_display': 'q+(-138-\\beta _{1})q^{5}+7^{3}q^{7}+(-3184+\\cdots)q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '7.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '504.8.a', 'trace_display': [0, 0, -414, 1029], 'trace_hash': 1199432822501740998, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.820', 'prec': 17}, 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'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 2, 'dual_embedding_m': 2, 'embedding_index': 2, 'embedding_m': 2, 'embedding_root_imag': 0.0, 'embedding_root_real': -6.163671346346117, 'hecke_orbit': 8, 'hecke_orbit_code': 31525197525811704, 'label': '504.8.a.h.1.2', 'level': 504, 'weight': 8}
-
mf_newspaces • Show schema
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{'ALdims': [5, 5, 8, 9, 5, 5, 8, 7], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [4, 4, 4, 4, 4, 4, 4, 4], 'ALdims_old': [81, 73, 72, 75, 77, 77, 72, 77], 'Nk2': 32256, 'analytic_conductor': 157.44205284399737, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [504, 1, [127, 253, 281, 73], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 656, 'dim': 52, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 134218232, 'hecke_orbit_dims': [1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5], 'label': '504.8.a', 'level': 504, '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, 7], 'level_radical': 42, 'mf_dim': 688, 'mf_new_dim': 52, 'num_forms': 18, 'plus_dim': 27, 'prim_orbit_index': 1, 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-53693408920, 0, 40422541656, 0, 0, 0, 147855314188, 0, -19879154652, 0, 0, 0, -71182437920, 0, -83902947248, 0, 0, 0, -9758217392, 0, -147066970658, 0, 0, 0], 'weight': 8, 'weight_parity': 1}
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mf_twists_cc • Show schema
Hide schema
-
id: 46204712
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525197525811704, 'source_is_minimal': False, 'source_label': '504.8.a.h.1.2', 'source_level': 504, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31525197525811704, 'target_is_minimal': False, 'target_label': '504.8.a.h.1.2', 'target_level': 504, 'twist_class_label': '168.8.a.i.1.2', 'twist_class_level': 168, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 8}
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id: 46204713
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525197525811704, 'source_is_minimal': False, 'source_label': '504.8.a.h.1.2', 'source_level': 504, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 36028797153181864, 'target_is_minimal': True, 'target_label': '168.8.a.i.1.2', 'target_level': 168, 'twist_class_label': '168.8.a.i.1.2', 'twist_class_level': 168, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 8}
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id: 46204714
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525197525811704, 'source_is_minimal': False, 'source_label': '504.8.a.h.1.2', 'source_level': 504, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 85568393054257488, 'target_is_minimal': False, 'target_label': '336.8.a.t.1.2', 'target_level': 336, 'twist_class_label': '168.8.a.i.1.2', 'twist_class_level': 168, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 8}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 977375
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 31525197525811704, 'p': 2}
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id: 977376
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 31525197525811704, 'p': 3}
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id: 977377
{'charpoly_factorization': [[[-13116800, -101280, 414, 1], 1]], 'hecke_orbit_code': 31525197525811704, 'p': 5}
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id: 977378
{'charpoly_factorization': [[[-343, 1], 3]], 'hecke_orbit_code': 31525197525811704, 'p': 7}
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id: 977379
{'charpoly_factorization': [[[-161473698288, -5260140, 9552, 1], 1]], 'hecke_orbit_code': 31525197525811704, 'p': 11}
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id: 977380
{'charpoly_factorization': [[[-66548459736, -36266148, -954, 1], 1]], 'hecke_orbit_code': 31525197525811704, 'p': 13}
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id: 977381
{'charpoly_factorization': [[[-5924949046912, -663533664, -30, 1], 1]], 'hecke_orbit_code': 31525197525811704, 'p': 17}
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id: 977382
{'charpoly_factorization': [[[1007347537472, -360886032, -39588, 1], 1]], 'hecke_orbit_code': 31525197525811704, 'p': 19}
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id: 977383
{'charpoly_factorization': [[[-92556992606048, -8553761628, -31164, 1], 1]], 'hecke_orbit_code': 31525197525811704, 'p': 23}
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id: 977384
{'charpoly_factorization': [[[-417898488103976, -9867381204, 38898, 1], 1]], 'hecke_orbit_code': 31525197525811704, 'p': 29}
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id: 977385
{'charpoly_factorization': [[[-832811883624448, -56910839232, -147888, 1], 1]], 'hecke_orbit_code': 31525197525811704, 'p': 31}
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id: 977386
{'charpoly_factorization': [[[-21459151591329528, -158491845252, 217662, 1], 1]], 'hecke_orbit_code': 31525197525811704, 'p': 37}
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id: 977387
{'charpoly_factorization': [[[2463563736229280, -98373770208, 174594, 1], 1]], 'hecke_orbit_code': 31525197525811704, 'p': 41}
-
id: 977388
{'charpoly_factorization': [[[61198536302319040, -244828971984, -193644, 1], 1]], 'hecke_orbit_code': 31525197525811704, 'p': 43}
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id: 977389
{'charpoly_factorization': [[[96266351025104128, -934267572336, 675864, 1], 1]], 'hecke_orbit_code': 31525197525811704, 'p': 47}
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id: 977390
{'charpoly_factorization': [[[-57060272837551496, -122761257732, 476898, 1], 1]], 'hecke_orbit_code': 31525197525811704, 'p': 53}
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id: 977391
{'charpoly_factorization': [[[-88289341675766784, -189036745344, 2107092, 1], 1]], 'hecke_orbit_code': 31525197525811704, 'p': 59}
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id: 977392
{'charpoly_factorization': [[[1657266508360950824, -3113764055508, -190962, 1], 1]], 'hecke_orbit_code': 31525197525811704, 'p': 61}
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id: 977393
{'charpoly_factorization': [[[-305714607938784000, 2047250995200, -3016380, 1], 1]], 'hecke_orbit_code': 31525197525811704, 'p': 67}
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id: 977394
{'charpoly_factorization': [[[-66990087466335712800, -29038118795100, 1285404, 1], 1]], 'hecke_orbit_code': 31525197525811704, 'p': 71}
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id: 977395
{'charpoly_factorization': [[[12307314430246631000, 6931677150684, -6735462, 1], 1]], 'hecke_orbit_code': 31525197525811704, 'p': 73}
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id: 977396
{'charpoly_factorization': [[[35634827481988707584, -12323565216240, -2985240, 1], 1]], 'hecke_orbit_code': 31525197525811704, 'p': 79}
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id: 977397
{'charpoly_factorization': [[[-139235750582926713408, -21644942709456, 6168276, 1], 1]], 'hecke_orbit_code': 31525197525811704, 'p': 83}
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id: 977398
{'charpoly_factorization': [[[-130425718128246056800, -31318811708640, 3937938, 1], 1]], 'hecke_orbit_code': 31525197525811704, 'p': 89}
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id: 977399
{'charpoly_factorization': [[[-214217311034354740168, 134908526349756, -22816878, 1], 1]], 'hecke_orbit_code': 31525197525811704, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 8, 'label': '504.8.a.h', 'level': 504, 'portrait': 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', 'weight': 8}
-
mf_hecke_traces • Show schema
Hide schema
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id: 49595059
{'hecke_orbit_code': 31525197525811704, 'n': 1, 'trace_an': 3}
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id: 49595060
{'hecke_orbit_code': 31525197525811704, 'n': 2, 'trace_an': 0}
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id: 49595061
{'hecke_orbit_code': 31525197525811704, 'n': 3, 'trace_an': 0}
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id: 49595062
{'hecke_orbit_code': 31525197525811704, 'n': 4, 'trace_an': 0}
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id: 49595063
{'hecke_orbit_code': 31525197525811704, 'n': 5, 'trace_an': -414}
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id: 49595064
{'hecke_orbit_code': 31525197525811704, 'n': 6, 'trace_an': 0}
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id: 49595065
{'hecke_orbit_code': 31525197525811704, 'n': 7, 'trace_an': 1029}
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id: 49595066
{'hecke_orbit_code': 31525197525811704, 'n': 8, 'trace_an': 0}
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id: 49595067
{'hecke_orbit_code': 31525197525811704, 'n': 9, 'trace_an': 0}
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id: 49595068
{'hecke_orbit_code': 31525197525811704, 'n': 10, 'trace_an': 0}
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id: 49595069
{'hecke_orbit_code': 31525197525811704, 'n': 11, 'trace_an': -9552}
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