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{'Nk2': 7500, 'analytic_conductor': 14.971950378990073, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [5, 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': [1875, 1, [626, 1252], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 6, 'field_disc': 46840000, 'field_disc_factorization': [[2, 6], [5, 4], [1171, 1]], 'field_poly': [-9, -15, 31, 8, -11, -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, [-9, 15, 31, -8, -11, 1, 1]]], 'hecke_orbit': 9, 'hecke_orbit_code': 36028797052520275, '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': '1875.2.a.i', 'level': 1875, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'minimal_twist': '1875.2.a.i', 'nf_label': '6.6.46840000.1', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{1}q^{2}+q^{3}+(2+\\beta _{2})q^{4}-\\beta _{1}q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1875.2.a', 'trace_display': [-1, 6, 0, 2], 'trace_hash': 652154365985132764, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.661', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.756', 'prec': 17}, {'__RealLiteral__': 0, 'data': '94.364', 'prec': 20}, {'__RealLiteral__': 0, 'data': '14.033', 'prec': 20}, {'__RealLiteral__': 0, 'data': '2624.905', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.006', 'prec': 17}, 'traces': [6, -1, 6, 11, 0, -1, 2, -6, 6, 0, 0, 11, 0, -4, 0, 17, -2, -1, -2, 0, 2, -9, 1, -6, 0, 37, 6, 44, 31, 0, -2, -33, 0, 37, 0, 11, 22, -27, 0, 0, 33, -4, 3, -11, 0, -12, 6, 17, 4, 0, -2, 33, -14, -1, 0, -30, -2, 1, -8, 0, 34, -31, 2, 12, 0, -9, -2, -27, 1, 0, -3, -6, 36, 36, 0, 27, -16, 37, 25, 0, 6, -36, 12, 44, 0, -30, 31, -56, 18, 0, 28, -3, -2, -50, 0, -33, -7, -15, 0, 0, 5, 37, 8, 28, 0, 18, -19, 11, 3, 0, 22, 52, -18, -27, 0, 14, 0, -23, -24, 0, -8, -15, 33, 11, 0, -4, 18, -81, 3, 0, -6, -11, 20, -13, 0, 22, -31, -12, 2, 0, 6, -57, -24, 17, 0, 18, 4, -16, -1, 0, -13, -54, -2, -58, 0, 33, -1, -35, -14, 0, -2, -1, 9, 41, 0, -51, -23, -30, 34, 0, -2, 35, -23, 1, 0, 61, -8, 73, 70, 0, -2, 54, 34, 25, 0, -31, 40, 60, 2, 0, 15, 12, 2, 12, 0, 5, -35, -9, -16, 0, -2, 76, -30, -27, 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'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 6, 'dual_embedding_m': 6, 'embedding_index': 6, 'embedding_m': 6, 'embedding_root_imag': 0.0, 'embedding_root_real': -2.3871901052089854, 'hecke_orbit': 9, 'hecke_orbit_code': 36028797052520275, 'label': '1875.2.a.i.1.6', 'level': 1875, 'weight': 2}
-
mf_newspaces • Show schema
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{'AL_dims': [[[[3, -1], [5, -1]], 14, 3], [[[3, 1], [5, 1]], 18, 5], [[[3, 1], [5, -1]], 22, 3], [[[3, -1], [5, 1]], 26, 5]], 'ALdims': [18, 22, 26, 14], 'Nk2': 7500, 'analytic_conductor': 14.971950378990073, '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': [1875, 1, [626, 1252], [1, 1]], 'conrey_index': 1, 'cusp_dim': 221, 'dim': 80, 'eis_dim': 59, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 33556307, 'hecke_orbit_dims': [2, 2, 2, 2, 4, 4, 4, 4, 6, 6, 6, 6, 8, 8, 8, 8], 'label': '1875.2.a', 'level': 1875, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'mf_dim': 280, 'mf_new_dim': 80, 'num_forms': 16, 'plus_dim': 32, 'prim_orbit_index': 1, 'relative_dim': 80, 'sturm_bound': 500, 'trace_bound': 3, 'trace_display': [0, 0, 0, 0], 'traces': [80, 0, 0, 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mf_twists_cc • Show schema
Hide schema
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id: 46459652
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 36028797052520275, 'source_is_minimal': True, 'source_label': '1875.2.a.i.1.6', 'source_level': 1875, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 6, 'target_hecke_orbit_code': 36028797052520275, 'target_is_minimal': True, 'target_label': '1875.2.a.i.1.6', 'target_level': 1875, 'twist_class_label': '1875.2.a.i.1.6', 'twist_class_level': 1875, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 46459653
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 36028797052520275, 'source_is_minimal': True, 'source_label': '1875.2.a.i.1.6', 'source_level': 1875, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 76561193698858489, 'target_is_minimal': False, 'target_label': '5625.2.a.r.1.1', 'target_level': 5625, 'twist_class_label': '1875.2.a.i.1.6', 'twist_class_level': 1875, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46459654
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 36028797052520275, 'source_is_minimal': True, 'source_label': '1875.2.a.i.1.6', 'source_level': 1875, 'target_conrey_index': 1249, 'target_dim': 12, 'target_embedding_index': 11, 'target_hecke_orbit_code': 18014467262515027, 'target_is_minimal': False, 'target_label': '1875.2.b.e.1249.11', 'target_level': 1875, 'twist_class_label': '1875.2.a.i.1.6', 'twist_class_level': 1875, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46459655
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 36028797052520275, 'source_is_minimal': True, 'source_label': '1875.2.a.i.1.6', 'source_level': 1875, 'target_conrey_index': 1249, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014467262515027, 'target_is_minimal': False, 'target_label': '1875.2.b.e.1249.2', 'target_level': 1875, 'twist_class_label': '1875.2.a.i.1.6', 'twist_class_level': 1875, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46459656
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 36028797052520275, 'source_is_minimal': True, 'source_label': '1875.2.a.i.1.6', 'source_level': 1875, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539595934631763, 'target_is_minimal': True, 'target_label': '1875.2.a.l.1.1', 'target_level': 1875, 'twist_class_label': '1875.2.a.i.1.6', 'twist_class_level': 1875, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 46459657
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 36028797052520275, 'source_is_minimal': True, 'source_label': '1875.2.a.i.1.6', 'source_level': 1875, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 6, 'target_hecke_orbit_code': 63050394816747001, 'target_is_minimal': False, 'target_label': '5625.2.a.o.1.6', 'target_level': 5625, 'twist_class_label': '1875.2.a.i.1.6', 'twist_class_level': 1875, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2272100
{'charpoly_factorization': [[[-9, 15, 31, -8, -11, 1, 1], 1]], 'hecke_orbit_code': 36028797052520275, 'p': 2}
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id: 2272101
{'charpoly_factorization': [[[-1, 1], 6]], 'hecke_orbit_code': 36028797052520275, 'p': 3}
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id: 2272102
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 36028797052520275, 'p': 5}
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id: 2272103
{'charpoly_factorization': [[[-100, -160, 101, 42, -21, -2, 1], 1]], 'hecke_orbit_code': 36028797052520275, 'p': 7}
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id: 2272104
{'charpoly_factorization': [[[-144, 96, 184, -8, -29, 0, 1], 1]], 'hecke_orbit_code': 36028797052520275, 'p': 11}
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id: 2272105
{'charpoly_factorization': [[[349, 2012, 824, -74, -56, 0, 1], 1]], 'hecke_orbit_code': 36028797052520275, 'p': 13}
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id: 2272106
{'charpoly_factorization': [[[-576, 1152, 680, -80, -55, 2, 1], 1]], 'hecke_orbit_code': 36028797052520275, 'p': 17}
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id: 2272107
{'charpoly_factorization': [[[-5725, 1150, 1410, -120, -74, 2, 1], 1]], 'hecke_orbit_code': 36028797052520275, 'p': 19}
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id: 2272108
{'charpoly_factorization': [[[-720, -240, 536, 144, -69, -1, 1], 1]], 'hecke_orbit_code': 36028797052520275, 'p': 23}
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id: 2272109
{'charpoly_factorization': [[[6480, -11520, 7420, -2320, 379, -31, 1], 1]], 'hecke_orbit_code': 36028797052520275, 'p': 29}
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id: 2272110
{'charpoly_factorization': [[[3155, -4590, 1726, 28, -86, 2, 1], 1]], 'hecke_orbit_code': 36028797052520275, 'p': 31}
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id: 2272111
{'charpoly_factorization': [[[-46100, 47640, -16099, 1782, 59, -22, 1], 1]], 'hecke_orbit_code': 36028797052520275, 'p': 37}
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id: 2272112
{'charpoly_factorization': [[[720, -5760, 5636, -2192, 399, -33, 1], 1]], 'hecke_orbit_code': 36028797052520275, 'p': 41}
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id: 2272113
{'charpoly_factorization': [[[-1289, -143, 944, 21, -76, -3, 1], 1]], 'hecke_orbit_code': 36028797052520275, 'p': 43}
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id: 2272114
{'charpoly_factorization': [[[80064, -52896, 6464, 1128, -184, -6, 1], 1]], 'hecke_orbit_code': 36028797052520275, 'p': 47}
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id: 2272115
{'charpoly_factorization': [[[14400, 36960, -6544, -3056, -164, 14, 1], 1]], 'hecke_orbit_code': 36028797052520275, 'p': 53}
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id: 2272116
{'charpoly_factorization': [[[-2880, 7680, 680, -600, -69, 8, 1], 1]], 'hecke_orbit_code': 36028797052520275, 'p': 59}
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id: 2272117
{'charpoly_factorization': [[[-72001, 35806, -2166, -1728, 406, -34, 1], 1]], 'hecke_orbit_code': 36028797052520275, 'p': 61}
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id: 2272118
{'charpoly_factorization': [[[59, 1402, -210, -540, -110, 2, 1], 1]], 'hecke_orbit_code': 36028797052520275, 'p': 67}
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id: 2272119
{'charpoly_factorization': [[[-12816, 4128, 5780, 160, -225, 3, 1], 1]], 'hecke_orbit_code': 36028797052520275, 'p': 71}
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id: 2272120
{'charpoly_factorization': [[[20380, 17470, -3079, -1596, 431, -36, 1], 1]], 'hecke_orbit_code': 36028797052520275, 'p': 73}
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id: 2272121
{'charpoly_factorization': [[[2725, -5125, -3430, 395, 150, -25, 1], 1]], 'hecke_orbit_code': 36028797052520275, 'p': 79}
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id: 2272122
{'charpoly_factorization': [[[-23616, -19200, 776, 1624, -129, -12, 1], 1]], 'hecke_orbit_code': 36028797052520275, 'p': 83}
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id: 2272123
{'charpoly_factorization': [[[-42480, -44400, -2500, 4340, -219, -18, 1], 1]], 'hecke_orbit_code': 36028797052520275, 'p': 89}
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id: 2272124
{'charpoly_factorization': [[[-32291, -3213, 19270, -1585, -310, 7, 1], 1]], 'hecke_orbit_code': 36028797052520275, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 9, 'label': '1875.2.a.i', 'level': 1875, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 195565000
{'hecke_orbit_code': 36028797052520275, 'n': 1, 'trace_an': 6}
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id: 195565001
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