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mf_newforms • Show schema
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{'Nk2': 3000, 'analytic_conductor': 5.988780151596028, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 25, 'char_degree': 4, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 5, 'char_parity': 1, 'char_values': [750, 5, [251, 127], [5, 2]], 'cm_discs': [], 'conrey_index': 151, 'dim': 8, 'field_disc': 4000000, 'field_disc_factorization': [[2, 8], [5, 6]], 'field_poly': [1, 0, -1, 0, 1, 0, -1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 20, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [-4, 16, -4, -4, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18014810859897582, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 5, 'hecke_ring_index_factorization': [[5, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 25, 4, 1, 5, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '750.2.g.e', 'level': 750, '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, 5], 'level_radical': 30, 'minimal_twist': '150.2.h.a', 'nf_label': '8.0.4000000.1', 'prim_orbit_index': 4, 'qexp_display': 'q-\\beta_{3} q^{2}+(\\beta_{4}-\\beta_{3}+\\beta_1-1)q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c5', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '750.2.g', 'trace_display': [2, -2, 0, 8], 'trace_hash': 815831999280256280, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.044', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7.676', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.112', 'prec': 17}, {'__RealLiteral__': 0, 'data': '188.809', 'prec': 24}, 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mf_hecke_cc • Show schema
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'dual_embedding_index': 2, 'dual_embedding_m': 6, 'embedding_index': 2, 'embedding_m': 4, 'embedding_root_imag': 0.8090169943749475, 'embedding_root_real': -0.5877852522924731, 'hecke_orbit': 5, 'hecke_orbit_code': 18014810859897582, 'label': '750.2.g.e.301.2', 'level': 750, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 3000, 'analytic_conductor': 5.988780151596028, 'char_conductor': 25, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 5, 'char_parity': 1, 'char_values': [750, 5, [251, 127], [5, 2]], 'conrey_index': 151, 'cusp_dim': 520, 'dim': 64, 'eis_dim': 160, 'eis_new_dim': 0, 'hecke_cutter_primes': [7], 'hecke_orbit_code': 412350415598, 'hecke_orbit_dims': [4, 4, 8, 8, 8, 16, 16], 'label': '750.2.g', 'level': 750, '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, 5], 'level_radical': 30, 'mf_dim': 680, 'mf_new_dim': 64, 'num_forms': 7, 'prim_orbit_index': 4, 'relative_dim': 16, 'sturm_bound': 300, 'trace_bound': 7, 'trace_display': [-2, 0, 0, -12], 'traces': [64, -2, 0, -16, 0, -2, -12, -2, -16, 0, 12, 0, -12, 0, 0, -16, 8, 8, 8, 0, -4, 8, 36, 8, 0, 28, 0, -2, 52, 0, 6, 8, 8, -50, 0, -16, 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-124, -8, 16, 0, 324, 0, -240, -284, 0, -30, 128, 44, -16, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 44353111
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 301, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014810859897582, 'source_is_minimal': False, 'source_label': '750.2.g.e.301.2', 'source_level': 750, 'target_conrey_index': 301, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014810859897582, 'target_is_minimal': False, 'target_label': '750.2.g.e.301.2', 'target_level': 750, 'twist_class_label': '150.2.h.a.109.2', 'twist_class_level': 150, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 44353112
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 301, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014810859897582, 'source_is_minimal': False, 'source_label': '750.2.g.e.301.2', 'source_level': 750, 'target_conrey_index': 139, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 481069891734, 'target_is_minimal': True, 'target_label': '150.2.h.a.139.2', 'target_level': 150, 'twist_class_label': '150.2.h.a.109.2', 'twist_class_level': 150, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 44353113
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 301, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014810859897582, 'source_is_minimal': False, 'source_label': '750.2.g.e.301.2', 'source_level': 750, 'target_conrey_index': 199, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007680324633326, 'target_is_minimal': False, 'target_label': '750.2.h.c.199.1', 'target_level': 750, 'twist_class_label': '150.2.h.a.109.2', 'twist_class_level': 150, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 44353114
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 301, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014810859897582, 'source_is_minimal': False, 'source_label': '750.2.g.e.301.2', 'source_level': 750, 'target_conrey_index': 301, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007611605156590, 'target_is_minimal': False, 'target_label': '750.2.g.c.301.1', 'target_level': 750, 'twist_class_label': '150.2.h.a.109.2', 'twist_class_level': 150, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 44353115
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 301, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014810859897582, 'source_is_minimal': False, 'source_label': '750.2.g.e.301.2', 'source_level': 750, 'target_conrey_index': 289, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 755947798978, 'target_is_minimal': False, 'target_label': '450.2.l.a.289.1', 'target_level': 450, 'twist_class_label': '150.2.h.a.109.2', 'twist_class_level': 150, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 44353116
{'conductor': 25, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 301, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014810859897582, 'source_is_minimal': False, 'source_label': '750.2.g.e.301.2', 'source_level': 750, 'target_conrey_index': 1249, 'target_dim': 8, 'target_embedding_index': 6, 'target_hecke_orbit_code': 18014535981993638, 'target_is_minimal': False, 'target_label': '3750.2.c.e.1249.6', 'target_level': 3750, 'twist_class_label': '150.2.h.a.109.2', 'twist_class_level': 150, 'twisting_char_label': '25.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 44353117
{'conductor': 25, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 301, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014810859897582, 'source_is_minimal': False, 'source_label': '750.2.g.e.301.2', 'source_level': 750, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 63050394816745126, 'target_is_minimal': False, 'target_label': '3750.2.a.o.1.2', 'target_level': 3750, 'twist_class_label': '150.2.h.a.109.2', 'twist_class_level': 150, 'twisting_char_label': '25.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 44353118
{'conductor': 25, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 301, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014810859897582, 'source_is_minimal': False, 'source_label': '750.2.g.e.301.2', 'source_level': 750, 'target_conrey_index': 451, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007611605156590, 'target_is_minimal': False, 'target_label': '750.2.g.c.451.1', 'target_level': 750, 'twist_class_label': '150.2.h.a.109.2', 'twist_class_level': 150, 'twisting_char_label': '25.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 44353119
{'conductor': 25, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 301, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014810859897582, 'source_is_minimal': False, 'source_label': '750.2.g.e.301.2', 'source_level': 750, 'target_conrey_index': 49, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007680324633326, 'target_is_minimal': False, 'target_label': '750.2.h.c.49.1', 'target_level': 750, 'twist_class_label': '150.2.h.a.109.2', 'twist_class_level': 150, 'twisting_char_label': '25.12', 'twisting_conrey_index': 12, 'weight': 2}
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id: 44353120
{'conductor': 25, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 301, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014810859897582, 'source_is_minimal': False, 'source_label': '750.2.g.e.301.2', 'source_level': 750, 'target_conrey_index': 109, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 481069891734, 'target_is_minimal': True, 'target_label': '150.2.h.a.109.2', 'target_level': 150, 'twist_class_label': '150.2.h.a.109.2', 'twist_class_level': 150, 'twisting_char_label': '25.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 44353121
{'conductor': 25, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 301, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014810859897582, 'source_is_minimal': False, 'source_label': '750.2.g.e.301.2', 'source_level': 750, 'target_conrey_index': 451, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014810859897582, 'target_is_minimal': False, 'target_label': '750.2.g.e.451.2', 'target_level': 750, 'twist_class_label': '150.2.h.a.109.2', 'twist_class_level': 150, 'twisting_char_label': '25.16', 'twisting_conrey_index': 16, 'weight': 2}
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id: 44353122
{'conductor': 25, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 301, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014810859897582, 'source_is_minimal': False, 'source_label': '750.2.g.e.301.2', 'source_level': 750, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 54043195562004134, 'target_is_minimal': False, 'target_label': '3750.2.a.m.1.3', 'target_level': 3750, 'twist_class_label': '150.2.h.a.109.2', 'twist_class_level': 150, 'twisting_char_label': '25.21', 'twisting_conrey_index': 21, 'weight': 2}
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id: 44353123
{'conductor': 25, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 301, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014810859897582, 'source_is_minimal': False, 'source_label': '750.2.g.e.301.2', 'source_level': 750, 'target_conrey_index': 1249, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 18014535981993638, 'target_is_minimal': False, 'target_label': '3750.2.c.e.1249.3', 'target_level': 3750, 'twist_class_label': '150.2.h.a.109.2', 'twist_class_level': 150, 'twisting_char_label': '25.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 44353124
{'conductor': 75, 'degree': 8, 'order': 20, 'parity': 1, 'source_conrey_index': 301, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014810859897582, 'source_is_minimal': False, 'source_label': '750.2.g.e.301.2', 'source_level': 750, 'target_conrey_index': 109, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 755947798978, 'target_is_minimal': False, 'target_label': '450.2.l.a.109.1', 'target_level': 450, 'twist_class_label': '150.2.h.a.109.2', 'twist_class_level': 150, 'twisting_char_label': '75.38', 'twisting_conrey_index': 38, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1283000
{'charpoly_factorization': [[[1, -1, 1, -1, 1], 2]], 'hecke_orbit_code': 18014810859897582, 'p': 2}
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id: 1283001
{'charpoly_factorization': [[[1, 1, 1, 1, 1], 2]], 'hecke_orbit_code': 18014810859897582, 'p': 3}
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id: 1283002
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 18014810859897582, 'p': 5}
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id: 1283003
{'charpoly_factorization': [[[-4, 16, -4, -4, 1], 2]], 'hecke_orbit_code': 18014810859897582, 'p': 7}
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id: 1283004
{'charpoly_factorization': [[[400, -800, 2000, -1400, 560, -160, 50, -10, 1], 1]], 'hecke_orbit_code': 18014810859897582, 'p': 11}
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id: 1283005
{'charpoly_factorization': [[[3721, -2074, 797, 68, 50, 22, 32, 4, 1], 1]], 'hecke_orbit_code': 18014810859897582, 'p': 13}
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id: 1283006
{'charpoly_factorization': [[[3481, 2242, 1523, 324, 50, -6, 8, 2, 1], 1]], 'hecke_orbit_code': 18014810859897582, 'p': 17}
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id: 1283007
{'charpoly_factorization': [[[5776, 3952, 2088, 704, 480, 4, 28, -8, 1], 1]], 'hecke_orbit_code': 18014810859897582, 'p': 19}
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id: 1283008
{'charpoly_factorization': [[[10000, -10000, 27000, 0, 900, 200, 30, -10, 1], 1]], 'hecke_orbit_code': 18014810859897582, 'p': 23}
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id: 1283009
{'charpoly_factorization': [[[12952801, -6830902, 1815003, -293324, 38750, -3974, 348, -22, 1], 1]], 'hecke_orbit_code': 18014810859897582, 'p': 29}
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id: 1283010
{'charpoly_factorization': [[[2085136, -987696, 372552, -85728, 15280, -2292, 292, -24, 1], 1]], 'hecke_orbit_code': 18014810859897582, 'p': 31}
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id: 1283011
{'charpoly_factorization': [[[143641, 9096, 19952, -4082, 850, 212, 97, 14, 1], 1]], 'hecke_orbit_code': 18014810859897582, 'p': 37}
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id: 1283012
{'charpoly_factorization': [[[192721, -95702, 54283, -17804, 5430, -1334, 228, -22, 1], 1]], 'hecke_orbit_code': 18014810859897582, 'p': 41}
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id: 1283013
{'charpoly_factorization': [[[-1684, 716, -14, -14, 1], 2]], 'hecke_orbit_code': 18014810859897582, 'p': 43}
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id: 1283014
{'charpoly_factorization': [[[144400, -152000, 166000, -71400, 19760, -3600, 430, -30, 1], 1]], 'hecke_orbit_code': 18014810859897582, 'p': 47}
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id: 1283015
{'charpoly_factorization': [[[1739761, -1632922, 704688, -153724, 23850, -2464, 203, -12, 1], 1]], 'hecke_orbit_code': 18014810859897582, 'p': 53}
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id: 1283016
{'charpoly_factorization': [[[102400, -921600, 3200000, -454400, 72960, -5120, 360, -20, 1], 1]], 'hecke_orbit_code': 18014810859897582, 'p': 59}
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id: 1283017
{'charpoly_factorization': [[[17682025, 0, -231275, 0, 21610, 0, 240, 0, 1], 1]], 'hecke_orbit_code': 18014810859897582, 'p': 61}
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id: 1283018
{'charpoly_factorization': [[[29637136, -1698528, 542448, 28904, 5280, -1456, 258, -18, 1], 1]], 'hecke_orbit_code': 18014810859897582, 'p': 67}
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id: 1283019
{'charpoly_factorization': [[[1392400, 165200, 579800, -204000, 32960, -3060, 260, -20, 1], 1]], 'hecke_orbit_code': 18014810859897582, 'p': 71}
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id: 1283020
{'charpoly_factorization': [[[175561, 77096, 9957, -5072, 4730, -1208, 192, -16, 1], 1]], 'hecke_orbit_code': 18014810859897582, 'p': 73}
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id: 1283021
{'charpoly_factorization': [[[6885376, 1091584, -147968, -48128, 26880, 2528, 432, 16, 1], 1]], 'hecke_orbit_code': 18014810859897582, 'p': 79}
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id: 1283022
{'charpoly_factorization': [[[167857936, 12904176, 1393512, 94128, 30580, -2208, 202, -6, 1], 1]], 'hecke_orbit_code': 18014810859897582, 'p': 83}
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id: 1283023
{'charpoly_factorization': [[[32478601, -12161666, 3488312, -583418, 69650, -6532, 587, -34, 1], 1]], 'hecke_orbit_code': 18014810859897582, 'p': 89}
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id: 1283024
{'charpoly_factorization': [[[85396081, 147856, 2352117, -165472, 23030, 32, 12, 4, 1], 1]], 'hecke_orbit_code': 18014810859897582, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 7, 'hecke_orbit': 5, 'label': '750.2.g.e', 'level': 750, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 41049067
{'hecke_orbit_code': 18014810859897582, 'n': 1, 'trace_an': 8}
-
id: 41049068
{'hecke_orbit_code': 18014810859897582, 'n': 2, 'trace_an': 2}
-
id: 41049069
{'hecke_orbit_code': 18014810859897582, 'n': 3, 'trace_an': -2}
-
id: 41049070
{'hecke_orbit_code': 18014810859897582, 'n': 4, 'trace_an': -2}
-
id: 41049071
{'hecke_orbit_code': 18014810859897582, 'n': 5, 'trace_an': 0}
-
id: 41049072
{'hecke_orbit_code': 18014810859897582, 'n': 6, 'trace_an': 2}
-
id: 41049073
{'hecke_orbit_code': 18014810859897582, 'n': 7, 'trace_an': 8}
-
id: 41049074
{'hecke_orbit_code': 18014810859897582, 'n': 8, 'trace_an': 2}
-
id: 41049075
{'hecke_orbit_code': 18014810859897582, 'n': 9, 'trace_an': -2}
-
id: 41049076
{'hecke_orbit_code': 18014810859897582, 'n': 10, 'trace_an': 0}
-
id: 41049077
{'hecke_orbit_code': 18014810859897582, 'n': 11, 'trace_an': 10}
-
id: 41049078
{'hecke_orbit_code': 18014810859897582, 'n': 12, 'trace_an': -2}
-
id: 41049079
{'hecke_orbit_code': 18014810859897582, 'n': 13, 'trace_an': -4}
-
id: 41049080
{'hecke_orbit_code': 18014810859897582, 'n': 14, 'trace_an': 2}
-
id: 41049081
{'hecke_orbit_code': 18014810859897582, 'n': 15, 'trace_an': 0}
-
id: 41049082
{'hecke_orbit_code': 18014810859897582, 'n': 16, 'trace_an': -2}
-
id: 41049083
{'hecke_orbit_code': 18014810859897582, 'n': 17, 'trace_an': -2}
-
id: 41049084
{'hecke_orbit_code': 18014810859897582, 'n': 18, 'trace_an': -8}
-
id: 41049085
{'hecke_orbit_code': 18014810859897582, 'n': 19, 'trace_an': 8}
-
id: 41049086
{'hecke_orbit_code': 18014810859897582, 'n': 20, 'trace_an': 0}
-
id: 41049087
{'hecke_orbit_code': 18014810859897582, 'n': 21, 'trace_an': -2}
-
id: 41049088
{'hecke_orbit_code': 18014810859897582, 'n': 22, 'trace_an': 0}
-
id: 41049089
{'hecke_orbit_code': 18014810859897582, 'n': 23, 'trace_an': 10}
-
id: 41049090
{'hecke_orbit_code': 18014810859897582, 'n': 24, 'trace_an': -8}
-
id: 41049091
{'hecke_orbit_code': 18014810859897582, 'n': 25, 'trace_an': 0}
-
id: 41049092
{'hecke_orbit_code': 18014810859897582, 'n': 26, 'trace_an': 4}
-
id: 41049093
{'hecke_orbit_code': 18014810859897582, 'n': 27, 'trace_an': -2}
-
id: 41049094
{'hecke_orbit_code': 18014810859897582, 'n': 28, 'trace_an': -2}
-
id: 41049095
{'hecke_orbit_code': 18014810859897582, 'n': 29, 'trace_an': 22}
-
id: 41049096
{'hecke_orbit_code': 18014810859897582, 'n': 30, 'trace_an': 0}
-
id: 41049097
{'hecke_orbit_code': 18014810859897582, 'n': 31, 'trace_an': 24}
-
id: 41049098
{'hecke_orbit_code': 18014810859897582, 'n': 32, 'trace_an': -8}
-
id: 41049099
{'hecke_orbit_code': 18014810859897582, 'n': 33, 'trace_an': 0}
-
id: 41049100
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id: 41049301
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id: 41049302
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id: 41049303
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id: 41049304
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id: 41049310
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id: 41049311
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id: 41049312
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id: 41049313
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id: 41049314
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id: 41049316
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id: 41049317
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id: 41049318
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id: 41049319
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id: 41049320
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id: 41049321
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id: 41049322
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id: 41049323
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id: 41049324
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