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mf_newforms • Show schema
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{'Nk2': 29952, 'analytic_conductor': 59.79198103353475, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [13, -1]], 'atkin_lehner_string': '---', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [7488, 1, [703, 6085, 5825, 5761], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 5, 'field_disc_factorization': [[5, 1]], 'field_poly': [-1, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 10, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[5, [-4, 2, 1]], [7, [4, 6, 1]], [11, [-20, 0, 1]], [17, [-20, 0, 1]], [19, [-4, -2, 1]], [29, [-4, 8, 1]]], 'hecke_orbit': 59, 'hecke_orbit_code': 261208778421050688, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '7488.2.a.cg', 'level': 7488, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 13], 'level_radical': 78, 'minimal_twist': '1248.2.a.k', 'nf_label': '2.2.5.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(-1-\\beta )q^{5}+(-3+\\beta )q^{7}+2\\beta q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '7488.2.a', 'trace_display': [0, 0, -2, -6], 'trace_hash': 61024547873165089, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.038', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.849', 'prec': 17}, {'__RealLiteral__': 0, 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mf_hecke_nf • Show schema
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [13, -1]], 19, 13], [[[2, 1], [3, -1], [13, 1]], 19, 14], [[[2, 1], [3, -1], [13, -1]], 17, 14], [[[2, -1], [3, -1], [13, 1]], 17, 13], [[[2, -1], [3, 1], [13, -1]], 10, 8], [[[2, 1], [3, 1], [13, -1]], 14, 8], [[[2, -1], [3, 1], [13, 1]], 14, 5], [[[2, 1], [3, 1], [13, 1]], 10, 7]], 'ALdims': [10, 14, 19, 17, 14, 10, 17, 19], 'Nk2': 29952, 'analytic_conductor': 59.79198103353475, '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': [7488, 1, [703, 6085, 5825, 5761], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1297, 'dim': 120, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 11, 17, 19, 29], 'hecke_orbit_code': 33561920, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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mf_twists_nf • Show schema
Hide schema
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id: 1351329
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 59, 'source_is_minimal': False, 'source_label': '7488.2.a.cg', 'source_level': 7488, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 11, 'target_is_minimal': True, 'target_label': '1248.2.a.k', 'target_level': 1248, 'twist_class_label': '1248.2.a.k', 'twist_class_level': 1248, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1351330
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 59, 'source_is_minimal': False, 'source_label': '7488.2.a.cg', 'source_level': 7488, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': True, 'target_label': '1248.2.a.m', 'target_level': 1248, 'twist_class_label': '1248.2.a.k', 'twist_class_level': 1248, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1351331
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 59, 'source_is_minimal': False, 'source_label': '7488.2.a.cg', 'source_level': 7488, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 33, 'target_is_minimal': False, 'target_label': '2496.2.a.bg', 'target_level': 2496, 'twist_class_label': '1248.2.a.k', 'twist_class_level': 1248, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1351332
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 59, 'source_is_minimal': False, 'source_label': '7488.2.a.cg', 'source_level': 7488, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 36, 'target_is_minimal': False, 'target_label': '2496.2.a.bj', 'target_level': 2496, 'twist_class_label': '1248.2.a.k', 'twist_class_level': 1248, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1351333
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 59, 'source_is_minimal': False, 'source_label': '7488.2.a.cg', 'source_level': 7488, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '3744.2.a.v', 'target_level': 3744, 'twist_class_label': '1248.2.a.k', 'twist_class_level': 1248, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1351334
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 59, 'source_is_minimal': False, 'source_label': '7488.2.a.cg', 'source_level': 7488, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 23, 'target_is_minimal': False, 'target_label': '3744.2.a.w', 'target_level': 3744, 'twist_class_label': '1248.2.a.k', 'twist_class_level': 1248, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1351335
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 59, 'source_is_minimal': False, 'source_label': '7488.2.a.cg', 'source_level': 7488, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 59, 'target_is_minimal': False, 'target_label': '7488.2.a.cg', 'target_level': 7488, 'twist_class_label': '1248.2.a.k', 'twist_class_level': 1248, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1351336
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 59, 'source_is_minimal': False, 'source_label': '7488.2.a.cg', 'source_level': 7488, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 60, 'target_is_minimal': False, 'target_label': '7488.2.a.ch', 'target_level': 7488, 'twist_class_label': '1248.2.a.k', 'twist_class_level': 1248, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4488425
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 261208778421050688, 'p': 2}
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id: 4488426
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 261208778421050688, 'p': 3}
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id: 4488427
{'charpoly_factorization': [[[-4, 2, 1], 1]], 'hecke_orbit_code': 261208778421050688, 'p': 5}
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id: 4488428
{'charpoly_factorization': [[[4, 6, 1], 1]], 'hecke_orbit_code': 261208778421050688, 'p': 7}
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id: 4488429
{'charpoly_factorization': [[[-20, 0, 1], 1]], 'hecke_orbit_code': 261208778421050688, 'p': 11}
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id: 4488430
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 261208778421050688, 'p': 13}
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id: 4488431
{'charpoly_factorization': [[[-20, 0, 1], 1]], 'hecke_orbit_code': 261208778421050688, 'p': 17}
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id: 4488432
{'charpoly_factorization': [[[-4, -2, 1], 1]], 'hecke_orbit_code': 261208778421050688, 'p': 19}
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id: 4488433
{'charpoly_factorization': [[[-16, -4, 1], 1]], 'hecke_orbit_code': 261208778421050688, 'p': 23}
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id: 4488434
{'charpoly_factorization': [[[-4, 8, 1], 1]], 'hecke_orbit_code': 261208778421050688, 'p': 29}
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id: 4488435
{'charpoly_factorization': [[[44, 14, 1], 1]], 'hecke_orbit_code': 261208778421050688, 'p': 31}
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id: 4488436
{'charpoly_factorization': [[[-20, 0, 1], 1]], 'hecke_orbit_code': 261208778421050688, 'p': 37}
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id: 4488437
{'charpoly_factorization': [[[44, -14, 1], 1]], 'hecke_orbit_code': 261208778421050688, 'p': 41}
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id: 4488438
{'charpoly_factorization': [[[-16, -4, 1], 1]], 'hecke_orbit_code': 261208778421050688, 'p': 43}
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id: 4488439
{'charpoly_factorization': [[[-4, -8, 1], 1]], 'hecke_orbit_code': 261208778421050688, 'p': 47}
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id: 4488440
{'charpoly_factorization': [[[-4, 8, 1], 1]], 'hecke_orbit_code': 261208778421050688, 'p': 53}
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id: 4488441
{'charpoly_factorization': [[[-76, 4, 1], 1]], 'hecke_orbit_code': 261208778421050688, 'p': 59}
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id: 4488442
{'charpoly_factorization': [[[44, 16, 1], 1]], 'hecke_orbit_code': 261208778421050688, 'p': 61}
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id: 4488443
{'charpoly_factorization': [[[-44, 2, 1], 1]], 'hecke_orbit_code': 261208778421050688, 'p': 67}
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id: 4488444
{'charpoly_factorization': [[[-10, 1], 2]], 'hecke_orbit_code': 261208778421050688, 'p': 71}
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id: 4488445
{'charpoly_factorization': [[[-20, 0, 1], 1]], 'hecke_orbit_code': 261208778421050688, 'p': 73}
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id: 4488446
{'charpoly_factorization': [[[-80, 0, 1], 1]], 'hecke_orbit_code': 261208778421050688, 'p': 79}
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id: 4488447
{'charpoly_factorization': [[[-44, 12, 1], 1]], 'hecke_orbit_code': 261208778421050688, 'p': 83}
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id: 4488448
{'charpoly_factorization': [[[36, -18, 1], 1]], 'hecke_orbit_code': 261208778421050688, 'p': 89}
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id: 4488449
{'charpoly_factorization': [[[124, -24, 1], 1]], 'hecke_orbit_code': 261208778421050688, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 59, 'label': '7488.2.a.cg', 'level': 7488, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 279179000
{'hecke_orbit_code': 261208778421050688, 'n': 1, 'trace_an': 2}
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id: 279179001
{'hecke_orbit_code': 261208778421050688, 'n': 2, 'trace_an': 0}
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id: 279179002
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id: 279179999
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