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{'Nk2': 8700, 'analytic_conductor': 17.367462439628483, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [5, 1], [29, 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': [2175, 1, [1451, 2002, 901], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 4, 'field_disc': 2225, 'field_disc_factorization': [[5, 2], [89, 1]], 'field_poly': [4, 2, -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': [[2, [1, 7, -2, -3, 1]], [7, [4, 4, -15, 2, 1]]], 'hecke_orbit': 22, 'hecke_orbit_code': 94575592208337023, 'hecke_ring_generator_nbound': 2, '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_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '2175.2.a.v', 'level': 2175, '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': [3, 5, 29], 'level_radical': 435, 'minimal_twist': '435.2.a.j', 'nf_label': '4.4.2225.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(1-\\beta _{1})q^{2}+q^{3}+(2-\\beta _{1}+\\beta _{2})q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2175.2.a', 'trace_display': [3, 4, 0, -2], 'trace_hash': 2130260364234090471, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.073', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.859', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.272', 'prec': 17}, {'__RealLiteral__': 0, 'data': '39.659', 'prec': 20}, {'__RealLiteral__': 0, 'data': '23.613', 'prec': 20}, {'__RealLiteral__': 0, 'data': '631.702', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.008', 'prec': 17}, 'traces': [4, 3, 4, 5, 0, 3, -2, 12, 4, 0, -2, 5, 8, -3, 0, 11, 10, 3, -2, 0, -2, -3, 12, 12, 0, -7, 4, 9, -4, 0, -4, 17, -2, -1, 0, 5, 16, 10, 8, 0, -12, -3, -2, 9, 0, -8, 12, 11, 6, 0, 10, 3, 10, 3, 0, 0, -2, -3, 2, 0, -26, -20, -2, 34, 0, -3, -2, -9, 12, 0, -10, 12, 0, 48, 0, 16, 34, -7, 22, 0, 4, -38, 10, 9, 0, -4, -4, 0, -4, 0, -8, -28, -4, 39, 0, 17, 22, -34, -2, 0, -16, -1, -24, 46, 0, 10, 4, 5, -2, 0, 16, -41, 22, 10, 0, -5, 8, 2, 2, 0, -10, -28, -12, -48, 0, -3, -44, 51, -2, 0, 6, 9, 38, 43, 0, -16, 20, -8, -36, 0, 12, 24, -8, 11, 0, -36, 6, 44, -6, 0, 28, -22, 10, -13, 0, 3, 34, -38, 10, 0, 8, 3, -26, -6, 0, -18, 4, 0, 6, 0, -2, -50, 8, -3, 0, -41, 2, 67, 14, 0, -38, -25, -26, -56, 0, -20, 2, 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-
mf_newspaces • Show schema
Hide schema
{'ALdims': [7, 16, 14, 8, 14, 5, 9, 15], 'Nk2': 8700, 'analytic_conductor': 17.367462439628483, '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': [2175, 1, [1451, 2002, 901], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 289, 'dim': 88, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7], 'hecke_orbit_code': 33556607, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 4, 5, 5, 5, 5, 7, 7, 8, 8], 'label': '2175.2.a', 'level': 2175, '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': [3, 5, 29], 'level_radical': 435, 'mf_dim': 312, 'mf_new_dim': 88, 'num_forms': 30, 'plus_dim': 29, 'prim_orbit_index': 1, 'relative_dim': 88, 'sturm_bound': 600, 'trace_bound': 7, 'trace_display': [0, -2, 0, 0], 'traces': [88, 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mf_twists_cc • Show schema
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id: 48370975
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 94575592208337023, 'source_is_minimal': False, 'source_label': '2175.2.a.v.1.1', 'source_level': 2175, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 94575592208337023, 'target_is_minimal': False, 'target_label': '2175.2.a.v.1.1', 'target_level': 2175, 'twist_class_label': '435.2.a.j.1.4', 'twist_class_level': 435, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48370976
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 94575592208337023, 'source_is_minimal': False, 'source_label': '2175.2.a.v.1.1', 'source_level': 2175, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 153122387364157821, 'target_is_minimal': False, 'target_label': '6525.2.a.bi.1.4', 'target_level': 6525, 'twist_class_label': '435.2.a.j.1.4', 'twist_class_level': 435, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48370977
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 94575592208337023, 'source_is_minimal': False, 'source_label': '2175.2.a.v.1.1', 'source_level': 2175, 'target_conrey_index': 349, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 58546932628326527, 'target_is_minimal': False, 'target_label': '2175.2.c.n.349.3', 'target_level': 2175, 'twist_class_label': '435.2.a.j.1.4', 'twist_class_level': 435, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48370978
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 94575592208337023, 'source_is_minimal': False, 'source_label': '2175.2.a.v.1.1', 'source_level': 2175, 'target_conrey_index': 349, 'target_dim': 8, 'target_embedding_index': 6, 'target_hecke_orbit_code': 58546932628326527, 'target_is_minimal': False, 'target_label': '2175.2.c.n.349.6', 'target_level': 2175, 'twist_class_label': '435.2.a.j.1.4', 'twist_class_level': 435, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48370979
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 94575592208337023, 'source_is_minimal': False, 'source_label': '2175.2.a.v.1.1', 'source_level': 2175, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 40532396679889331, 'target_is_minimal': True, 'target_label': '435.2.a.j.1.4', 'target_level': 435, 'twist_class_label': '435.2.a.j.1.4', 'twist_class_level': 435, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 48370980
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 94575592208337023, 'source_is_minimal': False, 'source_label': '2175.2.a.v.1.1', 'source_level': 2175, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 76561193698854169, 'target_is_minimal': False, 'target_label': '1305.2.a.r.1.1', 'target_level': 1305, 'twist_class_label': '435.2.a.j.1.4', 'twist_class_level': 435, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 48370981
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 94575592208337023, 'source_is_minimal': False, 'source_label': '2175.2.a.v.1.1', 'source_level': 2175, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 297237575440014128, 'target_is_minimal': False, 'target_label': '6960.2.a.co.1.4', 'target_level': 6960, 'twist_class_label': '435.2.a.j.1.4', 'twist_class_level': 435, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2471675
{'charpoly_factorization': [[[1, 7, -2, -3, 1], 1]], 'hecke_orbit_code': 94575592208337023, 'p': 2}
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id: 2471676
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 94575592208337023, 'p': 3}
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id: 2471677
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 94575592208337023, 'p': 5}
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id: 2471678
{'charpoly_factorization': [[[4, 4, -15, 2, 1], 1]], 'hecke_orbit_code': 94575592208337023, 'p': 7}
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id: 2471679
{'charpoly_factorization': [[[4, 4, -15, 2, 1], 1]], 'hecke_orbit_code': 94575592208337023, 'p': 11}
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id: 2471680
{'charpoly_factorization': [[[-164, 92, 3, -8, 1], 1]], 'hecke_orbit_code': 94575592208337023, 'p': 13}
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id: 2471681
{'charpoly_factorization': [[[-116, 40, 21, -10, 1], 1]], 'hecke_orbit_code': 94575592208337023, 'p': 17}
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id: 2471682
{'charpoly_factorization': [[[-16, -56, -40, 2, 1], 1]], 'hecke_orbit_code': 94575592208337023, 'p': 19}
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id: 2471683
{'charpoly_factorization': [[[-1024, 448, -12, -12, 1], 1]], 'hecke_orbit_code': 94575592208337023, 'p': 23}
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id: 2471684
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 94575592208337023, 'p': 29}
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id: 2471685
{'charpoly_factorization': [[[64, 32, -60, 4, 1], 1]], 'hecke_orbit_code': 94575592208337023, 'p': 31}
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id: 2471686
{'charpoly_factorization': [[[-2624, 736, 12, -16, 1], 1]], 'hecke_orbit_code': 94575592208337023, 'p': 37}
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id: 2471687
{'charpoly_factorization': [[[-1616, -1136, -80, 12, 1], 1]], 'hecke_orbit_code': 94575592208337023, 'p': 41}
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id: 2471688
{'charpoly_factorization': [[[1216, -192, -116, 2, 1], 1]], 'hecke_orbit_code': 94575592208337023, 'p': 43}
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id: 2471689
{'charpoly_factorization': [[[-64, 72, -1, -12, 1], 1]], 'hecke_orbit_code': 94575592208337023, 'p': 47}
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id: 2471690
{'charpoly_factorization': [[[400, 600, -80, -10, 1], 1]], 'hecke_orbit_code': 94575592208337023, 'p': 53}
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id: 2471691
{'charpoly_factorization': [[[10496, 128, -212, -2, 1], 1]], 'hecke_orbit_code': 94575592208337023, 'p': 59}
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id: 2471692
{'charpoly_factorization': [[[-11344, -2136, 72, 26, 1], 1]], 'hecke_orbit_code': 94575592208337023, 'p': 61}
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id: 2471693
{'charpoly_factorization': [[[-124, 292, -107, 2, 1], 1]], 'hecke_orbit_code': 94575592208337023, 'p': 67}
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id: 2471694
{'charpoly_factorization': [[[64, -320, -44, 10, 1], 1]], 'hecke_orbit_code': 94575592208337023, 'p': 71}
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id: 2471695
{'charpoly_factorization': [[[-256, -320, -84, 0, 1], 1]], 'hecke_orbit_code': 94575592208337023, 'p': 73}
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id: 2471696
{'charpoly_factorization': [[[2416, 1288, 8, -22, 1], 1]], 'hecke_orbit_code': 94575592208337023, 'p': 79}
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id: 2471697
{'charpoly_factorization': [[[-16, -200, -136, -10, 1], 1]], 'hecke_orbit_code': 94575592208337023, 'p': 83}
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id: 2471698
{'charpoly_factorization': [[[10156, -1036, -289, 4, 1], 1]], 'hecke_orbit_code': 94575592208337023, 'p': 89}
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id: 2471699
{'charpoly_factorization': [[[2384, 1816, -40, -22, 1], 1]], 'hecke_orbit_code': 94575592208337023, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 22, 'label': '2175.2.a.v', 'level': 2175, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 64801063
{'hecke_orbit_code': 94575592208337023, 'n': 1, 'trace_an': 4}
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id: 64801064
{'hecke_orbit_code': 94575592208337023, 'n': 2, 'trace_an': 3}
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id: 64801065
{'hecke_orbit_code': 94575592208337023, 'n': 3, 'trace_an': 4}
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id: 64801066
{'hecke_orbit_code': 94575592208337023, 'n': 4, 'trace_an': 5}
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id: 64801067
{'hecke_orbit_code': 94575592208337023, 'n': 5, 'trace_an': 0}
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id: 64801068
{'hecke_orbit_code': 94575592208337023, 'n': 6, 'trace_an': 3}
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id: 64801069
{'hecke_orbit_code': 94575592208337023, 'n': 7, 'trace_an': -2}
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