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mf_newforms • Show schema
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{'Nk2': 17100, 'analytic_conductor': 34.136046864097366, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 1], [5, -1], [19, -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': [4275, 1, [1901, 1027, 1351], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 6, 'field_disc': 15044092, 'field_disc_factorization': [[2, 2], [7, 1], [733, 2]], 'field_poly': [2, -6, -1, 12, -4, -3, 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': 1, 'hecke_cutters': [[2, [-7, 0, 26, 0, -10, 0, 1]], [7, [-4, -5, 4, 1]], [11, [-1792, 0, 656, 0, -51, 0, 1]]], 'hecke_orbit': 43, 'hecke_orbit_code': 189151184383119539, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '4275.2.a.bq', 'level': 4275, '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, 19], 'level_radical': 285, 'minimal_twist': '4275.2.a.bq', 'nf_label': '6.6.15044092.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{3}q^{2}+(1+\\beta _{5})q^{4}+(-1+\\beta _{1}-\\beta _{5})q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4275.2.a', 'trace_display': [0, 0, 0, -8], 'trace_hash': 1261366502096018678, 'trace_moments': 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mf_hecke_cc • Show schema
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-0.26048171323932684, -0.1073186232393247, -0.319190374581103], 'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 4, 'dual_embedding_m': 4, 'embedding_index': 4, 'embedding_m': 4, 'embedding_root_imag': 0.0, 'embedding_root_real': -1.9291364761762957, 'hecke_orbit': 43, 'hecke_orbit_code': 189151184383119539, 'label': '4275.2.a.bq.1.4', 'level': 4275, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [12, 16, 18, 10, 21, 19, 21, 25], 'Nk2': 17100, 'analytic_conductor': 34.136046864097366, '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': [4275, 1, [1901, 1027, 1351], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 577, 'dim': 142, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7, 11], 'hecke_orbit_code': 33558707, 'hecke_orbit_dims': [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, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 6, 6, 6, 6, 6, 7, 7, 12], 'label': '4275.2.a', 'level': 4275, '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, 19], 'level_radical': 285, 'mf_dim': 624, 'mf_new_dim': 142, 'num_forms': 50, 'plus_dim': 62, 'prim_orbit_index': 1, 'relative_dim': 142, 'sturm_bound': 1200, 'trace_bound': 13, 'trace_display': [1, 0, 0, 5], 'traces': [142, 1, 0, 143, 0, 0, 5, -3, 0, 0, 13, 0, -2, -12, 0, 145, -11, 0, -2, 0, 0, 4, -8, 0, 0, 6, 0, 18, 32, 0, 0, 5, 0, 18, 0, 0, -12, -3, 0, 0, 0, 0, 13, 66, 0, 36, -1, 0, 145, 0, 0, 14, 26, 0, 0, 8, 0, 10, -18, 0, -9, 8, 0, 185, 0, 0, 12, -52, 0, 0, -42, 0, 1, 62, 0, -5, -41, 0, 8, 0, 0, 38, 16, 0, 0, 4, 0, -32, -2, 0, -16, 40, 0, -32, 0, 0, -6, 5, 0, 0, 28, 0, -34, 18, 0, 6, 34, 0, 38, 0, 0, 88, 20, 0, 0, 142, 0, 20, -11, 0, 213, 26, 0, -76, 0, 0, 46, -59, 0, 0, 3, 0, 1, 8, 0, 106, 29, 0, 9, 0, 0, 48, 36, 0, 0, -102, 0, -34, 57, 0, -74, -3, 0, -20, 0, 0, 36, 40, 0, 0, 0, 0, 28, -134, 0, -108, 2, 0, 170, 0, 0, 78, -24, 0, 0, 228, 0, -66, 38, 0, 56, 64, 0, 136, 0, 0, -15, 90, 0, 0, 69, 0, 14, 26, 0, 245, -56, 0, -35, 0, 0, 42, 14, 0, 0, -36, 0, -22, 25, 0, 126, 86, 0, -140, 0, 0, 44, -74, 0, 0, -56, 0, 34, 132, 0, 166, 0, 0, -71, 0, 0, 18, -81, 0, 0, 8, 0, -88, -19, 0, -28, 137, 0, -92, 0, 0, 2, -16, 0, 0, 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-22, 348, 0, -394, 232, 0, 28, 0, 0, -7, 640, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48962323
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 4, 'source_hecke_orbit_code': 189151184383119539, 'source_is_minimal': True, 'source_label': '4275.2.a.bq.1.4', 'source_level': 4275, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 4, 'target_hecke_orbit_code': 189151184383119539, 'target_is_minimal': True, 'target_label': '4275.2.a.bq.1.4', 'target_level': 4275, 'twist_class_label': '4275.2.a.bq.1.3', 'twist_class_level': 4275, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48962324
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 4, 'source_hecke_orbit_code': 189151184383119539, 'source_is_minimal': True, 'source_label': '4275.2.a.bq.1.4', 'source_level': 4275, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 189151184383119539, 'target_is_minimal': True, 'target_label': '4275.2.a.bq.1.3', 'target_level': 4275, 'twist_class_label': '4275.2.a.bq.1.3', 'twist_class_level': 4275, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48962325
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 4, 'source_hecke_orbit_code': 189151184383119539, 'source_is_minimal': True, 'source_label': '4275.2.a.bq.1.4', 'source_level': 4275, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 207165582892601523, 'target_is_minimal': True, 'target_label': '4275.2.a.bu.1.3', 'target_level': 4275, 'twist_class_label': '4275.2.a.bq.1.3', 'twist_class_level': 4275, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 48962326
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 4, 'source_hecke_orbit_code': 189151184383119539, 'source_is_minimal': True, 'source_label': '4275.2.a.bq.1.4', 'source_level': 4275, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 4, 'target_hecke_orbit_code': 207165582892601523, 'target_is_minimal': True, 'target_label': '4275.2.a.bu.1.4', 'target_level': 4275, 'twist_class_label': '4275.2.a.bq.1.3', 'twist_class_level': 4275, '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: 3551700
{'charpoly_factorization': [[[-7, 0, 26, 0, -10, 0, 1], 1]], 'hecke_orbit_code': 189151184383119539, 'p': 2}
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id: 3551701
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 189151184383119539, 'p': 3}
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id: 3551702
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 189151184383119539, 'p': 5}
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id: 3551703
{'charpoly_factorization': [[[-4, -5, 4, 1], 2]], 'hecke_orbit_code': 189151184383119539, 'p': 7}
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id: 3551704
{'charpoly_factorization': [[[-1792, 0, 656, 0, -51, 0, 1], 1]], 'hecke_orbit_code': 189151184383119539, 'p': 11}
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id: 3551705
{'charpoly_factorization': [[[2, 1], 6]], 'hecke_orbit_code': 189151184383119539, 'p': 13}
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id: 3551706
{'charpoly_factorization': [[[-1792, 0, 528, 0, -44, 0, 1], 1]], 'hecke_orbit_code': 189151184383119539, 'p': 17}
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id: 3551707
{'charpoly_factorization': [[[-1, 1], 6]], 'hecke_orbit_code': 189151184383119539, 'p': 19}
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id: 3551708
{'charpoly_factorization': [[[-2800, 0, 1748, 0, -103, 0, 1], 1]], 'hecke_orbit_code': 189151184383119539, 'p': 23}
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id: 3551709
{'charpoly_factorization': [[[-1183, 0, 1431, 0, -89, 0, 1], 1]], 'hecke_orbit_code': 189151184383119539, 'p': 29}
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id: 3551710
{'charpoly_factorization': [[[-28, -24, 1, 1], 2]], 'hecke_orbit_code': 189151184383119539, 'p': 31}
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id: 3551711
{'charpoly_factorization': [[[-104, -8, 8, 1], 2]], 'hecke_orbit_code': 189151184383119539, 'p': 37}
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id: 3551712
{'charpoly_factorization': [[[-54208, 0, 6341, 0, -150, 0, 1], 1]], 'hecke_orbit_code': 189151184383119539, 'p': 41}
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id: 3551713
{'charpoly_factorization': [[[-160, -8, 10, 1], 2]], 'hecke_orbit_code': 189151184383119539, 'p': 43}
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id: 3551714
{'charpoly_factorization': [[[-179200, 0, 20032, 0, -284, 0, 1], 1]], 'hecke_orbit_code': 189151184383119539, 'p': 47}
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id: 3551715
{'charpoly_factorization': [[[-175, 0, 167, 0, -25, 0, 1], 1]], 'hecke_orbit_code': 189151184383119539, 'p': 53}
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id: 3551716
{'charpoly_factorization': [[[-34300, 0, 5197, 0, -194, 0, 1], 1]], 'hecke_orbit_code': 189151184383119539, 'p': 59}
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id: 3551717
{'charpoly_factorization': [[[545, -157, 3, 1], 2]], 'hecke_orbit_code': 189151184383119539, 'p': 61}
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id: 3551718
{'charpoly_factorization': [[[4, -36, 11, 1], 2]], 'hecke_orbit_code': 189151184383119539, 'p': 67}
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id: 3551719
{'charpoly_factorization': [[[-4732, 0, 11261, 0, -306, 0, 1], 1]], 'hecke_orbit_code': 189151184383119539, 'p': 71}
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id: 3551720
{'charpoly_factorization': [[[-157, 15, 13, 1], 2]], 'hecke_orbit_code': 189151184383119539, 'p': 73}
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id: 3551721
{'charpoly_factorization': [[[628, -70, -9, 1], 2]], 'hecke_orbit_code': 189151184383119539, 'p': 79}
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id: 3551722
{'charpoly_factorization': [[[-302848, 0, 15648, 0, -243, 0, 1], 1]], 'hecke_orbit_code': 189151184383119539, 'p': 83}
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id: 3551723
{'charpoly_factorization': [[[-175, 0, 167, 0, -25, 0, 1], 1]], 'hecke_orbit_code': 189151184383119539, 'p': 89}
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id: 3551724
{'charpoly_factorization': [[[-968, 0, 20, 1], 2]], 'hecke_orbit_code': 189151184383119539, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 43, 'label': '4275.2.a.bq', 'level': 4275, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 70811947
{'hecke_orbit_code': 189151184383119539, 'n': 1, 'trace_an': 6}
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id: 70811948
{'hecke_orbit_code': 189151184383119539, 'n': 2, 'trace_an': 0}
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id: 70811949
{'hecke_orbit_code': 189151184383119539, 'n': 3, 'trace_an': 0}
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id: 70811950
{'hecke_orbit_code': 189151184383119539, 'n': 4, 'trace_an': 8}
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id: 70811951
{'hecke_orbit_code': 189151184383119539, 'n': 5, 'trace_an': 0}
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id: 70811952
{'hecke_orbit_code': 189151184383119539, 'n': 6, 'trace_an': 0}
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id: 70811953
{'hecke_orbit_code': 189151184383119539, 'n': 7, 'trace_an': -8}
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id: 70811954
{'hecke_orbit_code': 189151184383119539, 'n': 8, 'trace_an': 0}
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id: 70811955
{'hecke_orbit_code': 189151184383119539, 'n': 9, 'trace_an': 0}
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id: 70811956
{'hecke_orbit_code': 189151184383119539, 'n': 10, 'trace_an': 0}
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id: 70811957
{'hecke_orbit_code': 189151184383119539, 'n': 11, 'trace_an': 0}
-
id: 70811958
{'hecke_orbit_code': 189151184383119539, 'n': 12, 'trace_an': 0}
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id: 70811959
{'hecke_orbit_code': 189151184383119539, 'n': 13, 'trace_an': -12}
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id: 70811960
{'hecke_orbit_code': 189151184383119539, 'n': 14, 'trace_an': 0}
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id: 70811961
{'hecke_orbit_code': 189151184383119539, 'n': 15, 'trace_an': 0}
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