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{'Nk2': 25200, 'analytic_conductor': 92.92800825904146, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [5, 1], [7, 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': [1575, 1, [1226, 127, 451], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 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, [3, 1]], [11, [-36, 1]], [13, [-34, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503599694480935, 'hecke_ring_generator_nbound': 1, '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_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1575.4.a.b', 'level': 1575, '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, 7], 'level_radical': 105, 'minimal_twist': '21.4.a.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-3q^{2}+q^{4}-7q^{7}+21q^{8}+6^{2}q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1575.4.a', 'trace_display': [-3, 0, 0, -7], 'trace_hash': 1658219586806802761, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.985', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 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'dual_embedding_index': 1, 'dual_embedding_m': 1, 'embedding_index': 1, 'embedding_m': 1, 'embedding_root_imag': 0.0, 'embedding_root_real': 0.0, 'hecke_orbit': 2, 'hecke_orbit_code': 4503599694480935, 'label': '1575.4.a.b.1.1', 'level': 1575, 'weight': 4}
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mf_newspaces • Show schema
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{'ALdims': [16, 10, 14, 18, 19, 22, 23, 21], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [6, 6, 6, 6, 6, 6, 6, 6], 'ALdims_old': [74, 74, 70, 72, 65, 68, 67, 63], 'Nk2': 25200, 'analytic_conductor': 92.92800825904146, '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': [1575, 1, [1226, 127, 451], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 696, 'dim': 143, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 11, 13], 'hecke_orbit_code': 67110439, 'hecke_orbit_dims': [1, 1, 1, 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, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 8, 8, 10, 10], 'label': '1575.4.a', 'level': 1575, '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, 7], 'level_radical': 105, 'mf_dim': 744, 'mf_new_dim': 143, 'num_forms': 47, 'plus_dim': 79, 'prim_orbit_index': 1, 'relative_dim': 143, 'sturm_bound': 960, 'trace_bound': 11, 'trace_display': [-1, 0, 0, -7], 'traces': [143, -1, 0, 569, 0, 0, -7, 3, 0, 0, -108, 0, -128, 7, 0, 2469, -86, 0, -110, 0, 0, 256, 412, 0, 0, -1036, 0, -35, -410, 0, 324, -597, 0, 362, 0, 0, 86, 722, 0, 0, -274, 0, 240, -870, 0, 1406, 604, 0, 7007, 0, 0, -836, 394, 0, 0, -147, 0, -658, 562, 0, 296, -3516, 0, 9031, 0, 0, 156, -490, 0, 0, 2248, 0, -1026, 6316, 0, -738, 896, 0, 4260, 0, 0, 6650, 422, 0, 0, 4222, 0, 4204, 1530, 0, 196, 1368, 0, 10024, 0, 0, -1270, -49, 0, 0, 204, 0, 6596, 540, 0, 4718, 6032, 0, -3354, 0, 0, -959, -2734, 0, 0, -2548, 0, -5346, -994, 0, 14775, 2364, 0, 1180, 0, 0, 3752, -7717, 0, 0, -5054, 0, 210, 9826, 0, -4286, 1966, 0, 7270, 0, 0, 4020, -6208, 0, 0, 15270, 0, -4318, -686, 0, 8668, -6358, 0, 3318, 0, 0, -13728, 12260, 0, 0, -1680, 0, -6440, 14314, 0, -7126, -4692, 0, 32725, 0, 0, 22448, -2956, 0, 0, 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mf_twists_cc • Show schema
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id: 34325820
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599694480935, 'source_is_minimal': False, 'source_label': '1575.4.a.b.1.1', 'source_level': 1575, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599694480935, 'target_is_minimal': False, 'target_label': '1575.4.a.b.1.1', 'target_level': 1575, 'twist_class_label': '21.4.a.a.1.1', 'twist_class_level': 21, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 4}
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id: 34325821
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599694480935, 'source_is_minimal': False, 'source_label': '1575.4.a.b.1.1', 'source_level': 1575, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021597831332365, 'target_is_minimal': False, 'target_label': '525.4.a.g.1.1', 'target_level': 525, 'twist_class_label': '21.4.a.a.1.1', 'twist_class_level': 21, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 34325822
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599694480935, 'source_is_minimal': False, 'source_label': '1575.4.a.b.1.1', 'source_level': 1575, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199321849919, 'target_is_minimal': False, 'target_label': '63.4.a.c.1.1', 'target_level': 63, 'twist_class_label': '21.4.a.a.1.1', 'twist_class_level': 21, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 4}
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id: 34325823
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599694480935, 'source_is_minimal': False, 'source_label': '1575.4.a.b.1.1', 'source_level': 1575, 'target_conrey_index': 274, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007405480280589, 'target_is_minimal': False, 'target_label': '525.4.d.c.274.2', 'target_level': 525, 'twist_class_label': '21.4.a.a.1.1', 'twist_class_level': 21, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 34325824
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599694480935, 'source_is_minimal': False, 'source_label': '1575.4.a.b.1.1', 'source_level': 1575, 'target_conrey_index': 274, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007405480280589, 'target_is_minimal': False, 'target_label': '525.4.d.c.274.1', 'target_level': 525, 'twist_class_label': '21.4.a.a.1.1', 'twist_class_level': 21, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 4}
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id: 34325825
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599694480935, 'source_is_minimal': False, 'source_label': '1575.4.a.b.1.1', 'source_level': 1575, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67108885, 'target_is_minimal': True, 'target_label': '21.4.a.a.1.1', 'target_level': 21, 'twist_class_label': '21.4.a.a.1.1', 'twist_class_level': 21, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 4}
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id: 34325826
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599694480935, 'source_is_minimal': False, 'source_label': '1575.4.a.b.1.1', 'source_level': 1575, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 94575592241890288, 'target_is_minimal': False, 'target_label': '1008.4.a.v.1.1', 'target_level': 1008, 'twist_class_label': '21.4.a.a.1.1', 'twist_class_level': 21, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 4}
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id: 34325827
{'conductor': 35, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599694480935, 'source_is_minimal': False, 'source_label': '1575.4.a.b.1.1', 'source_level': 1575, 'target_conrey_index': 226, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874572386745, 'target_is_minimal': False, 'target_label': '441.4.e.b.226.1', 'target_level': 441, 'twist_class_label': '21.4.a.a.1.1', 'twist_class_level': 21, 'twisting_char_label': '35.4', 'twisting_conrey_index': 4, 'weight': 4}
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id: 34325828
{'conductor': 35, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599694480935, 'source_is_minimal': False, 'source_label': '1575.4.a.b.1.1', 'source_level': 1575, 'target_conrey_index': 361, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874572386745, 'target_is_minimal': False, 'target_label': '441.4.e.b.361.1', 'target_level': 441, 'twist_class_label': '21.4.a.a.1.1', 'twist_class_level': 21, 'twisting_char_label': '35.9', 'twisting_conrey_index': 9, 'weight': 4}
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id: 34325829
{'conductor': 35, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599694480935, 'source_is_minimal': False, 'source_label': '1575.4.a.b.1.1', 'source_level': 1575, 'target_conrey_index': 361, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511073827127737, 'target_is_minimal': False, 'target_label': '441.4.e.d.361.1', 'target_level': 441, 'twist_class_label': '21.4.a.a.1.1', 'twist_class_level': 21, 'twisting_char_label': '35.19', 'twisting_conrey_index': 19, 'weight': 4}
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id: 34325830
{'conductor': 35, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599694480935, 'source_is_minimal': False, 'source_label': '1575.4.a.b.1.1', 'source_level': 1575, 'target_conrey_index': 226, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511073827127737, 'target_is_minimal': False, 'target_label': '441.4.e.d.226.1', 'target_level': 441, 'twist_class_label': '21.4.a.a.1.1', 'twist_class_level': 21, 'twisting_char_label': '35.24', 'twisting_conrey_index': 24, 'weight': 4}
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id: 34325831
{'conductor': 35, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599694480935, 'source_is_minimal': False, 'source_label': '1575.4.a.b.1.1', 'source_level': 1575, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532396713443769, 'target_is_minimal': False, 'target_label': '441.4.a.j.1.1', 'target_level': 441, 'twist_class_label': '21.4.a.a.1.1', 'twist_class_level': 21, 'twisting_char_label': '35.34', 'twisting_conrey_index': 34, 'weight': 4}
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id: 34325832
{'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599694480935, 'source_is_minimal': False, 'source_label': '1575.4.a.b.1.1', 'source_level': 1575, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22517998203961680, 'target_is_minimal': False, 'target_label': '336.4.a.f.1.1', 'target_level': 336, 'twist_class_label': '21.4.a.a.1.1', 'twist_class_level': 21, 'twisting_char_label': '60.59', 'twisting_conrey_index': 59, 'weight': 4}
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id: 34325833
{'conductor': 105, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599694480935, 'source_is_minimal': False, 'source_label': '1575.4.a.b.1.1', 'source_level': 1575, 'target_conrey_index': 67, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36029071963979923, 'target_is_minimal': False, 'target_label': '147.4.e.i.67.1', 'target_level': 147, 'twist_class_label': '21.4.a.a.1.1', 'twist_class_level': 21, 'twisting_char_label': '105.44', 'twisting_conrey_index': 44, 'weight': 4}
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id: 34325834
{'conductor': 105, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599694480935, 'source_is_minimal': False, 'source_label': '1575.4.a.b.1.1', 'source_level': 1575, 'target_conrey_index': 79, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021872709238931, 'target_is_minimal': False, 'target_label': '147.4.e.g.79.1', 'target_level': 147, 'twist_class_label': '21.4.a.a.1.1', 'twist_class_level': 21, 'twisting_char_label': '105.59', 'twisting_conrey_index': 59, 'weight': 4}
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id: 34325835
{'conductor': 105, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599694480935, 'source_is_minimal': False, 'source_label': '1575.4.a.b.1.1', 'source_level': 1575, 'target_conrey_index': 79, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36029071963979923, 'target_is_minimal': False, 'target_label': '147.4.e.i.79.1', 'target_level': 147, 'twist_class_label': '21.4.a.a.1.1', 'twist_class_level': 21, 'twisting_char_label': '105.74', 'twisting_conrey_index': 74, 'weight': 4}
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id: 34325836
{'conductor': 105, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599694480935, 'source_is_minimal': False, 'source_label': '1575.4.a.b.1.1', 'source_level': 1575, 'target_conrey_index': 67, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021872709238931, 'target_is_minimal': False, 'target_label': '147.4.e.g.67.1', 'target_level': 147, 'twist_class_label': '21.4.a.a.1.1', 'twist_class_level': 21, 'twisting_char_label': '105.89', 'twisting_conrey_index': 89, 'weight': 4}
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id: 34325837
{'conductor': 105, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599694480935, 'source_is_minimal': False, 'source_label': '1575.4.a.b.1.1', 'source_level': 1575, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199321850003, 'target_is_minimal': False, 'target_label': '147.4.a.c.1.1', 'target_level': 147, 'twist_class_label': '21.4.a.a.1.1', 'twist_class_level': 21, 'twisting_char_label': '105.104', 'twisting_conrey_index': 104, 'weight': 4}
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id: 34325838
{'conductor': 120, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599694480935, 'source_is_minimal': False, 'source_label': '1575.4.a.b.1.1', 'source_level': 1575, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 117093590378743104, 'target_is_minimal': False, 'target_label': '1344.4.a.ba.1.1', 'target_level': 1344, 'twist_class_label': '21.4.a.a.1.1', 'twist_class_level': 21, 'twisting_char_label': '120.29', 'twisting_conrey_index': 29, 'weight': 4}
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id: 34325839
{'conductor': 120, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599694480935, 'source_is_minimal': False, 'source_label': '1575.4.a.b.1.1', 'source_level': 1575, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 58546795222926656, 'target_is_minimal': False, 'target_label': '1344.4.a.n.1.1', 'target_level': 1344, 'twist_class_label': '21.4.a.a.1.1', 'twist_class_level': 21, 'twisting_char_label': '120.59', 'twisting_conrey_index': 59, 'weight': 4}
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id: 34325840
{'conductor': 420, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599694480935, 'source_is_minimal': False, 'source_label': '1575.4.a.b.1.1', 'source_level': 1575, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 76561193732409648, 'target_is_minimal': False, 'target_label': '2352.4.a.r.1.1', 'target_level': 2352, 'twist_class_label': '21.4.a.a.1.1', 'twist_class_level': 21, 'twisting_char_label': '420.419', 'twisting_conrey_index': 419, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2050100
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 4503599694480935, 'p': 2}
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id: 2050101
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599694480935, 'p': 3}
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id: 2050102
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599694480935, 'p': 5}
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id: 2050103
{'charpoly_factorization': [[[7, 1], 1]], 'hecke_orbit_code': 4503599694480935, 'p': 7}
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id: 2050104
{'charpoly_factorization': [[[-36, 1], 1]], 'hecke_orbit_code': 4503599694480935, 'p': 11}
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id: 2050105
{'charpoly_factorization': [[[-34, 1], 1]], 'hecke_orbit_code': 4503599694480935, 'p': 13}
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id: 2050106
{'charpoly_factorization': [[[-42, 1], 1]], 'hecke_orbit_code': 4503599694480935, 'p': 17}
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id: 2050107
{'charpoly_factorization': [[[124, 1], 1]], 'hecke_orbit_code': 4503599694480935, 'p': 19}
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id: 2050108
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599694480935, 'p': 23}
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id: 2050109
{'charpoly_factorization': [[[102, 1], 1]], 'hecke_orbit_code': 4503599694480935, 'p': 29}
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id: 2050110
{'charpoly_factorization': [[[160, 1], 1]], 'hecke_orbit_code': 4503599694480935, 'p': 31}
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id: 2050111
{'charpoly_factorization': [[[398, 1], 1]], 'hecke_orbit_code': 4503599694480935, 'p': 37}
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id: 2050112
{'charpoly_factorization': [[[-318, 1], 1]], 'hecke_orbit_code': 4503599694480935, 'p': 41}
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id: 2050113
{'charpoly_factorization': [[[-268, 1], 1]], 'hecke_orbit_code': 4503599694480935, 'p': 43}
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id: 2050114
{'charpoly_factorization': [[[-240, 1], 1]], 'hecke_orbit_code': 4503599694480935, 'p': 47}
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id: 2050115
{'charpoly_factorization': [[[498, 1], 1]], 'hecke_orbit_code': 4503599694480935, 'p': 53}
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id: 2050116
{'charpoly_factorization': [[[-132, 1], 1]], 'hecke_orbit_code': 4503599694480935, 'p': 59}
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id: 2050117
{'charpoly_factorization': [[[-398, 1], 1]], 'hecke_orbit_code': 4503599694480935, 'p': 61}
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id: 2050118
{'charpoly_factorization': [[[92, 1], 1]], 'hecke_orbit_code': 4503599694480935, 'p': 67}
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id: 2050119
{'charpoly_factorization': [[[-720, 1], 1]], 'hecke_orbit_code': 4503599694480935, 'p': 71}
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id: 2050120
{'charpoly_factorization': [[[-502, 1], 1]], 'hecke_orbit_code': 4503599694480935, 'p': 73}
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id: 2050121
{'charpoly_factorization': [[[1024, 1], 1]], 'hecke_orbit_code': 4503599694480935, 'p': 79}
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id: 2050122
{'charpoly_factorization': [[[204, 1], 1]], 'hecke_orbit_code': 4503599694480935, 'p': 83}
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id: 2050123
{'charpoly_factorization': [[[354, 1], 1]], 'hecke_orbit_code': 4503599694480935, 'p': 89}
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id: 2050124
{'charpoly_factorization': [[[-286, 1], 1]], 'hecke_orbit_code': 4503599694480935, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 2, 'label': '1575.4.a.b', 'level': 1575, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 19000218
{'hecke_orbit_code': 4503599694480935, 'n': 1, 'trace_an': 1}
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id: 19000219
{'hecke_orbit_code': 4503599694480935, 'n': 2, 'trace_an': -3}
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id: 19000220
{'hecke_orbit_code': 4503599694480935, 'n': 3, 'trace_an': 0}
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id: 19000221
{'hecke_orbit_code': 4503599694480935, 'n': 4, 'trace_an': 1}
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id: 19000222
{'hecke_orbit_code': 4503599694480935, 'n': 5, 'trace_an': 0}
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id: 19000223
{'hecke_orbit_code': 4503599694480935, 'n': 6, 'trace_an': 0}
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id: 19000224
{'hecke_orbit_code': 4503599694480935, 'n': 7, 'trace_an': -7}
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id: 19000225
{'hecke_orbit_code': 4503599694480935, 'n': 8, 'trace_an': 21}
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id: 19000226
{'hecke_orbit_code': 4503599694480935, 'n': 9, 'trace_an': 0}
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