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mf_newforms • Show schema
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{'Nk2': 27600, 'analytic_conductor': 55.096777394683464, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, 1], [5, 1], [23, 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': [6900, 1, [3451, 4601, 277, 1201], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 21, 'field_disc_factorization': [[3, 1], [7, 1]], 'field_poly': [-5, -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': [[7, [-3, -3, 1]], [11, [-5, -1, 1]]], 'hecke_orbit': 15, 'hecke_orbit_code': 63050394816748276, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], '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': True, 'label': '6900.2.a.o', 'level': 6900, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 23], 'level_radical': 690, 'minimal_twist': '6900.2.a.o', 'nf_label': '2.2.21.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{3}+(1+\\beta )q^{7}+q^{9}+(1-\\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': '6900.2.a', 'trace_display': [0, -2, 0, 3], 'trace_hash': 693279482486456950, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.971', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '10.230', 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 0], [-1, 0], [0, 0], [0, 0], [0, 0], [1, 1], [0, 0], [1, 0], [0, 0], [1, -1], [0, 0], [5, -1], [0, 0], [0, 0], [0, 0], [1, -2], [0, 0], [0, 2], [0, 0], [-1, -1], [0, 0], [-1, 0], [0, 0], [0, 0], [0, 0], [-1, 0], [0, 0], [4, -2], [0, 0], [-1, 1], [0, 0], [-1, 1], [0, 0], [0, 0], [0, 0], [3, 0], [0, 0], [-5, 1], [0, 0], [5, -2], [0, 0], [1, 2], [0, 0], [0, 0], [0, 0], [-1, 0], [0, 0], [-1, 3], [0, 0], [-1, 2], [0, 0], [7, -1], [0, 0], [0, 0], [0, 0], [0, -2], [0, 0], [-1, -1], [0, 0], [7, -3], [0, 0], [1, 1], [0, 0], [0, 0], [0, 0], [4, -1], [0, 0], [1, 0], [0, 0], [-5, 5], [0, 0], [13, 0], [0, 0], [0, 0], [0, 0], [-4, -1], [0, 0], [-7, 2], [0, 0], [1, 0], [0, 0], [1, 0], [0, 0], [0, 0], [0, 0], [-4, 2], [0, 0], [-5, 0], [0, 0], [0, 3], [0, 0], [1, -1], [0, 0], [0, 0], [0, 0], [-13, 3], [0, 0], [1, -1], [0, 0]], 'ap': [[0, 0], [-1, 0], [0, 0], [1, 1], [1, -1], [5, -1], [1, -2], [0, 2], [-1, 0], [4, -2], [-1, 1], [3, 0], [5, -2], [1, 2], [-1, 0], [7, -1], [-1, -1], [7, 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[72, -6], [21, 6], [-66, 0], [-66, 0], [-33, 0], [-61, -8], [-42, 12], [-27, 5], [33, 1], [-30, 22], [-70, 8]], 'char_orbit_index': 1, 'field_poly': [-5, -1, 1], 'hecke_orbit_code': 63050394816748276, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '6900.2.a.o', 'level': 6900, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [5, 1], [23, 1]], 8, 3], [[[2, -1], [3, -1], [5, -1], [23, -1]], 6, 3], [[[2, -1], [3, 1], [5, 1], [23, -1]], 7, 5], [[[2, -1], [3, -1], [5, -1], [23, 1]], 10, 3], [[[2, -1], [3, 1], [5, 1], [23, 1]], 9, 5], [[[2, -1], [3, 1], [5, -1], [23, -1]], 11, 2], [[[2, -1], [3, 1], [5, -1], [23, 1]], 7, 3], [[[2, -1], [3, -1], [5, 1], [23, -1]], 10, 6]], 'ALdims': [0, 0, 0, 0, 0, 0, 0, 0, 9, 7, 7, 11, 8, 10, 10, 6], 'Nk2': 27600, 'analytic_conductor': 55.096777394683464, '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': [6900, 1, [3451, 4601, 277, 1201], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1405, 'dim': 68, 'eis_dim': 71, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11], 'hecke_orbit_code': 33561332, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 4, 4, 7, 7], 'label': '6900.2.a', 'level': 6900, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 23], 'level_radical': 690, 'mf_dim': 1476, 'mf_new_dim': 68, 'num_forms': 30, 'plus_dim': 28, 'prim_orbit_index': 1, 'relative_dim': 68, 'sturm_bound': 2880, 'trace_bound': 11, 'trace_display': [0, 0, 0, -4], 'traces': [68, 0, 0, 0, 0, 0, -4, 0, 68, 0, 0, 0, 0, 0, 0, 0, 4, 0, -8, 0, -8, 0, 0, 0, 0, 0, 0, 0, 40, 0, -12, 0, -8, 0, 0, 0, 0, 0, -12, 0, 40, 0, -12, 0, 0, 0, -8, 0, 48, 0, -4, 0, -12, 0, 0, 0, 4, 0, 16, 0, 28, 0, -4, 0, 0, 0, 20, 0, -4, 0, -8, 0, 0, 0, 0, 0, 40, 0, -12, 0, 68, 0, 32, 0, 0, 0, 0, 0, 20, 0, 28, 0, -8, 0, 0, 0, -16, 0, 0, 0, 16, 0, -44, 0, 0, 0, 24, 0, 28, 0, 16, 0, -20, 0, 0, 0, 0, 0, -56, 0, 20, 0, 0, 0, 0, 0, 24, 0, -8, 0, 8, 0, -16, 0, 0, 0, 4, 0, 32, 0, -24, 0, -24, 0, 0, 0, 8, 0, -20, 0, 68, 0, 4, 0, 0, 0, -56, 0, 76, 0, 4, 0, -16, 0, 0, 0, 32, 0, 32, 0, -8, 0, 8, 0, 0, 0, -8, 0, -24, 0, 68, 0, -24, 0, 0, 0, 32, 0, -8, 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0, 92, 0, -32, 0, 0, 0, 216, 0, 0, 0, 728, 0, -296, 0, 0, 0, 4, 0, 316, 0, -72, 0, -72, 0, 0, 0, -16, 0, -108, 0, -176, 0, -136, 0, 0, 0, -352, 0, -304, 0, 8, 0, 56, 0, 0, 0, 184, 0, 8, 0, 124, 0, 216, 0, 0, 0, -80, 0, -616, 0, 704, 0, -32, 0, 0, 0, 192, 0, 296, 0, 448, 0, 104, 0, 0, 0, 280, 0, 384, 0, 184, 0, 104, 0, 0, 0, -12, 0, 128, 0, -284, 0, -136, 0, 0, 0, 272, 0, 56, 0, 296, 0, -120, 0, 0, 0, 0, 0, 416, 0, 64, 0, -504, 0, 0, 0, 0, 0, 296, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1322692
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 15, 'source_is_minimal': True, 'source_label': '6900.2.a.o', 'source_level': 6900, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 15, 'target_is_minimal': True, 'target_label': '6900.2.a.o', 'target_level': 6900, 'twist_class_label': '6900.2.a.o', 'twist_class_level': 6900, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1322693
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 15, 'source_is_minimal': True, 'source_label': '6900.2.a.o', 'source_level': 6900, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 17, 'target_is_minimal': True, 'target_label': '6900.2.a.q', 'target_level': 6900, 'twist_class_label': '6900.2.a.o', 'twist_class_level': 6900, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1322694
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 15, 'source_is_minimal': True, 'source_label': '6900.2.a.o', 'source_level': 6900, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '6900.2.f.n', 'target_level': 6900, 'twist_class_label': '6900.2.a.o', 'twist_class_level': 6900, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4308775
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 63050394816748276, 'p': 2}
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id: 4308776
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 63050394816748276, 'p': 3}
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id: 4308777
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 63050394816748276, 'p': 5}
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id: 4308778
{'charpoly_factorization': [[[-3, -3, 1], 1]], 'hecke_orbit_code': 63050394816748276, 'p': 7}
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id: 4308779
{'charpoly_factorization': [[[-5, -1, 1], 1]], 'hecke_orbit_code': 63050394816748276, 'p': 11}
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id: 4308780
{'charpoly_factorization': [[[15, -9, 1], 1]], 'hecke_orbit_code': 63050394816748276, 'p': 13}
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id: 4308781
{'charpoly_factorization': [[[-21, 0, 1], 1]], 'hecke_orbit_code': 63050394816748276, 'p': 17}
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id: 4308782
{'charpoly_factorization': [[[-20, -2, 1], 1]], 'hecke_orbit_code': 63050394816748276, 'p': 19}
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id: 4308783
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 63050394816748276, 'p': 23}
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id: 4308784
{'charpoly_factorization': [[[-12, -6, 1], 1]], 'hecke_orbit_code': 63050394816748276, 'p': 29}
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id: 4308785
{'charpoly_factorization': [[[-5, 1, 1], 1]], 'hecke_orbit_code': 63050394816748276, 'p': 31}
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id: 4308786
{'charpoly_factorization': [[[-3, 1], 2]], 'hecke_orbit_code': 63050394816748276, 'p': 37}
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id: 4308787
{'charpoly_factorization': [[[-5, -8, 1], 1]], 'hecke_orbit_code': 63050394816748276, 'p': 41}
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id: 4308788
{'charpoly_factorization': [[[-17, -4, 1], 1]], 'hecke_orbit_code': 63050394816748276, 'p': 43}
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id: 4308789
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 63050394816748276, 'p': 47}
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id: 4308790
{'charpoly_factorization': [[[37, -13, 1], 1]], 'hecke_orbit_code': 63050394816748276, 'p': 53}
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id: 4308791
{'charpoly_factorization': [[[-3, 3, 1], 1]], 'hecke_orbit_code': 63050394816748276, 'p': 59}
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id: 4308792
{'charpoly_factorization': [[[-17, -11, 1], 1]], 'hecke_orbit_code': 63050394816748276, 'p': 61}
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id: 4308793
{'charpoly_factorization': [[[7, -7, 1], 1]], 'hecke_orbit_code': 63050394816748276, 'p': 67}
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id: 4308794
{'charpoly_factorization': [[[-125, 5, 1], 1]], 'hecke_orbit_code': 63050394816748276, 'p': 71}
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id: 4308795
{'charpoly_factorization': [[[-13, 1], 2]], 'hecke_orbit_code': 63050394816748276, 'p': 73}
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id: 4308796
{'charpoly_factorization': [[[15, 12, 1], 1]], 'hecke_orbit_code': 63050394816748276, 'p': 79}
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id: 4308797
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 63050394816748276, 'p': 83}
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id: 4308798
{'charpoly_factorization': [[[5, 1], 2]], 'hecke_orbit_code': 63050394816748276, 'p': 89}
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id: 4308799
{'charpoly_factorization': [[[85, 23, 1], 1]], 'hecke_orbit_code': 63050394816748276, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 15, 'label': '6900.2.a.o', 'level': 6900, 'portrait': 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'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 231847000
{'hecke_orbit_code': 63050394816748276, 'n': 1, 'trace_an': 2}
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id: 231847001
{'hecke_orbit_code': 63050394816748276, 'n': 2, 'trace_an': 0}
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