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mf_newforms • Show schema
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{'Nk2': 3388, 'analytic_conductor': 6.763329051202448, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 11, 'char_degree': 4, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 5, 'char_parity': 1, 'char_values': [847, 5, [122, 365], [5, 2]], 'cm_discs': [], 'conrey_index': 148, 'dim': 12, 'field_disc': 203293448000000000, 'field_disc_factorization': [[2, 12], [5, 9], [71, 4]], 'field_poly': [16, 48, 136, 376, 1036, 324, 266, 118, 59, -15, 7, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [4096, 2560, 2624, 1768, 1441, 214, 273, 44, 69, 20, 9, 2, 1]], [3, [16, 48, 136, 376, 1036, 324, 266, 118, 59, -15, 7, -1, 1]], [13, [16777216, -524288, 2113536, -393728, 284688, 115264, 38136, 8768, 2692, 416, 62, 8, 1]]], 'hecke_orbit': 20, 'hecke_orbit_code': 85568736550978383, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 3, 11, 3, 1, 5, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '847.2.f.t', 'level': 847, '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': [7, 11], 'level_radical': 77, 'minimal_twist': '847.2.a.i', 'prim_orbit_index': 3, 'qexp_display': 'q+(-1-\\beta _{1}-\\beta _{2}-\\beta _{3}+\\beta _{6}+\\beta _{7}+\\cdots)q^{2}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c5', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '847.2.f', 'trace_display': [-2, 1, -1, -3], 'trace_hash': 1178824628038872739, 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mf_hecke_cc • Show schema
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3, 'embedding_m': 12, 'embedding_root_imag': 2.9719426411428147, 'embedding_root_real': -0.9656427001817446, 'hecke_orbit': 20, 'hecke_orbit_code': 85568736550978383, 'label': '847.2.f.t.729.3', 'level': 847, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 3388, 'analytic_conductor': 6.763329051202448, 'char_conductor': 11, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 5, 'char_parity': 1, 'char_values': [847, 5, [122, 365], [5, 2]], 'conrey_index': 148, 'cusp_dim': 304, 'dim': 216, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 3, 13], 'hecke_orbit_code': 343630938959, 'hecke_orbit_dims': [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 12, 12, 16, 16, 16, 24, 24], 'label': '847.2.f', 'level': 847, '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': [7, 11], 'level_radical': 77, 'mf_dim': 400, 'mf_new_dim': 216, 'num_forms': 26, 'prim_orbit_index': 3, 'relative_dim': 54, 'sturm_bound': 176, 'trace_bound': 7, 'trace_display': [4, 8, 4, 2], 'traces': [216, 4, 8, -52, 4, -6, 2, 2, -44, 16, 0, -36, 2, -3, 22, -74, 16, 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mf_twists_cc • Show schema
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id: 48303169
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 729, 'source_dim': 12, 'source_embedding_index': 3, 'source_hecke_orbit_code': 85568736550978383, 'source_is_minimal': False, 'source_label': '847.2.f.t.729.3', 'source_level': 847, 'target_conrey_index': 729, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 85568736550978383, 'target_is_minimal': False, 'target_label': '847.2.f.t.729.3', 'target_level': 847, 'twist_class_label': '847.2.a.i.1.3', 'twist_class_level': 847, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48303170
{'conductor': 11, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 729, 'source_dim': 12, 'source_embedding_index': 3, 'source_hecke_orbit_code': 85568736550978383, 'source_is_minimal': False, 'source_label': '847.2.f.t.729.3', 'source_level': 847, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 36028797052519247, 'target_is_minimal': True, 'target_label': '847.2.a.i.1.3', 'target_level': 847, 'twist_class_label': '847.2.a.i.1.3', 'twist_class_level': 847, 'twisting_char_label': '11.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48303171
{'conductor': 11, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 729, 'source_dim': 12, 'source_embedding_index': 3, 'source_hecke_orbit_code': 85568736550978383, 'source_is_minimal': False, 'source_label': '847.2.f.t.729.3', 'source_level': 847, 'target_conrey_index': 148, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 85568736550978383, 'target_is_minimal': False, 'target_label': '847.2.f.t.148.1', 'target_level': 847, 'twist_class_label': '847.2.a.i.1.3', 'twist_class_level': 847, 'twisting_char_label': '11.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48303172
{'conductor': 11, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 729, 'source_dim': 12, 'source_embedding_index': 3, 'source_hecke_orbit_code': 85568736550978383, 'source_is_minimal': False, 'source_label': '847.2.f.t.729.3', 'source_level': 847, 'target_conrey_index': 323, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 85568736550978383, 'target_is_minimal': False, 'target_label': '847.2.f.t.323.3', 'target_level': 847, 'twist_class_label': '847.2.a.i.1.3', 'twist_class_level': 847, 'twisting_char_label': '11.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 48303173
{'conductor': 11, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 729, 'source_dim': 12, 'source_embedding_index': 3, 'source_hecke_orbit_code': 85568736550978383, 'source_is_minimal': False, 'source_label': '847.2.f.t.729.3', 'source_level': 847, 'target_conrey_index': 372, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 85568736550978383, 'target_is_minimal': False, 'target_label': '847.2.f.t.372.1', 'target_level': 847, 'twist_class_label': '847.2.a.i.1.3', 'twist_class_level': 847, 'twisting_char_label': '11.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 48303174
{'conductor': 11, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 729, 'source_dim': 12, 'source_embedding_index': 3, 'source_hecke_orbit_code': 85568736550978383, 'source_is_minimal': False, 'source_label': '847.2.f.t.729.3', 'source_level': 847, 'target_conrey_index': 372, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 90072336178348879, 'target_is_minimal': False, 'target_label': '847.2.f.u.372.3', 'target_level': 847, 'twist_class_label': '847.2.a.i.1.3', 'twist_class_level': 847, 'twisting_char_label': '11.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 48303175
{'conductor': 11, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 729, 'source_dim': 12, 'source_embedding_index': 3, 'source_hecke_orbit_code': 85568736550978383, 'source_is_minimal': False, 'source_label': '847.2.f.t.729.3', 'source_level': 847, 'target_conrey_index': 323, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 90072336178348879, 'target_is_minimal': False, 'target_label': '847.2.f.u.323.1', 'target_level': 847, 'twist_class_label': '847.2.a.i.1.3', 'twist_class_level': 847, 'twisting_char_label': '11.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 48303176
{'conductor': 11, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 729, 'source_dim': 12, 'source_embedding_index': 3, 'source_hecke_orbit_code': 85568736550978383, 'source_is_minimal': False, 'source_label': '847.2.f.t.729.3', 'source_level': 847, 'target_conrey_index': 148, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 90072336178348879, 'target_is_minimal': False, 'target_label': '847.2.f.u.148.3', 'target_level': 847, 'twist_class_label': '847.2.a.i.1.3', 'twist_class_level': 847, 'twisting_char_label': '11.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 48303177
{'conductor': 11, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 729, 'source_dim': 12, 'source_embedding_index': 3, 'source_hecke_orbit_code': 85568736550978383, 'source_is_minimal': False, 'source_label': '847.2.f.t.729.3', 'source_level': 847, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532396679889743, 'target_is_minimal': True, 'target_label': '847.2.a.j.1.1', 'target_level': 847, 'twist_class_label': '847.2.a.i.1.3', 'twist_class_level': 847, 'twisting_char_label': '11.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 48303178
{'conductor': 11, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 729, 'source_dim': 12, 'source_embedding_index': 3, 'source_hecke_orbit_code': 85568736550978383, 'source_is_minimal': False, 'source_label': '847.2.f.t.729.3', 'source_level': 847, 'target_conrey_index': 729, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 90072336178348879, 'target_is_minimal': False, 'target_label': '847.2.f.u.729.1', 'target_level': 847, 'twist_class_label': '847.2.a.i.1.3', 'twist_class_level': 847, 'twisting_char_label': '11.10', 'twisting_conrey_index': 10, 'weight': 2}
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id: 48303179
{'conductor': 33, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 729, 'source_dim': 12, 'source_embedding_index': 3, 'source_hecke_orbit_code': 85568736550978383, 'source_is_minimal': False, 'source_label': '847.2.f.t.729.3', 'source_level': 847, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 252201579166309831, 'target_is_minimal': False, 'target_label': '7623.2.a.ce.1.1', 'target_level': 7623, 'twist_class_label': '847.2.a.i.1.3', 'twist_class_level': 847, 'twisting_char_label': '33.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48303180
{'conductor': 33, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 729, 'source_dim': 12, 'source_embedding_index': 3, 'source_hecke_orbit_code': 85568736550978383, 'source_is_minimal': False, 'source_label': '847.2.f.t.729.3', 'source_level': 847, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 229683581029457351, 'target_is_minimal': False, 'target_label': '7623.2.a.bz.1.3', 'target_level': 7623, 'twist_class_label': '847.2.a.i.1.3', 'twist_class_level': 847, 'twisting_char_label': '33.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 48303181
{'conductor': 77, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 729, 'source_dim': 12, 'source_embedding_index': 3, 'source_hecke_orbit_code': 85568736550978383, 'source_is_minimal': False, 'source_label': '847.2.f.t.729.3', 'source_level': 847, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 85568392953599785, 'target_is_minimal': False, 'target_label': '5929.2.a.t.1.3', 'target_level': 5929, 'twist_class_label': '847.2.a.i.1.3', 'twist_class_level': 847, 'twisting_char_label': '77.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 48303182
{'conductor': 77, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 729, 'source_dim': 12, 'source_embedding_index': 3, 'source_hecke_orbit_code': 85568736550978383, 'source_is_minimal': False, 'source_label': '847.2.f.t.729.3', 'source_level': 847, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 108086391090452265, 'target_is_minimal': False, 'target_label': '5929.2.a.y.1.1', 'target_level': 5929, 'twist_class_label': '847.2.a.i.1.3', 'twist_class_level': 847, 'twisting_char_label': '77.20', 'twisting_conrey_index': 20, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1404800
{'charpoly_factorization': [[[4096, 2560, 2624, 1768, 1441, 214, 273, 44, 69, 20, 9, 2, 1], 1]], 'hecke_orbit_code': 85568736550978383, 'p': 2}
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id: 1404801
{'charpoly_factorization': [[[16, 48, 136, 376, 1036, 324, 266, 118, 59, -15, 7, -1, 1], 1]], 'hecke_orbit_code': 85568736550978383, 'p': 3}
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id: 1404802
{'charpoly_factorization': [[[256, 512, 1088, 2240, 4624, -16, 564, -32, 81, 13, 9, 1, 1], 1]], 'hecke_orbit_code': 85568736550978383, 'p': 5}
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id: 1404803
{'charpoly_factorization': [[[1, 1, 1, 1, 1], 3]], 'hecke_orbit_code': 85568736550978383, 'p': 7}
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id: 1404804
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 85568736550978383, 'p': 11}
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id: 1404805
{'charpoly_factorization': [[[16777216, -524288, 2113536, -393728, 284688, 115264, 38136, 8768, 2692, 416, 62, 8, 1], 1]], 'hecke_orbit_code': 85568736550978383, 'p': 13}
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id: 1404806
{'charpoly_factorization': [[[16777216, -524288, 2113536, -393728, 284688, 115264, 38136, 8768, 2692, 416, 62, 8, 1], 1]], 'hecke_orbit_code': 85568736550978383, 'p': 17}
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id: 1404807
{'charpoly_factorization': [[[16777216, -10485760, 6553600, -3833856, 2232320, -204800, 68096, -7680, 1600, 64, 40, 0, 1], 1]], 'hecke_orbit_code': 85568736550978383, 'p': 19}
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id: 1404808
{'charpoly_factorization': [[[8, 8, -7, 1], 4]], 'hecke_orbit_code': 85568736550978383, 'p': 23}
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id: 1404809
{'charpoly_factorization': [[[16777216, 10485760, 6553600, 3833856, 2232320, 204800, 68096, 7680, 1600, -64, 40, 0, 1], 1]], 'hecke_orbit_code': 85568736550978383, 'p': 29}
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id: 1404810
{'charpoly_factorization': [[[11316496, -9755600, 5873544, -3071912, 1499916, -485996, 135738, -33946, 7219, -955, 119, -13, 1], 1]], 'hecke_orbit_code': 85568736550978383, 'p': 31}
-
id: 1404811
{'charpoly_factorization': [[[65536, -294912, 1257472, -5349376, 22754560, -5526528, 1026992, -171688, 26825, -2481, 217, -17, 1], 1]], 'hecke_orbit_code': 85568736550978383, 'p': 37}
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id: 1404812
{'charpoly_factorization': [[[40960000, 33792000, 19686400, 9994880, 4730896, 1506816, 421880, 105824, 21764, 2064, 190, 16, 1], 1]], 'hecke_orbit_code': 85568736550978383, 'p': 41}
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id: 1404813
{'charpoly_factorization': [[[32, -28, -4, 1], 4]], 'hecke_orbit_code': 85568736550978383, 'p': 43}
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id: 1404814
{'charpoly_factorization': [[[4096, -7168, 10496, -14272, 18832, -9760, 5880, -3056, 1188, 184, 30, 4, 1], 1]], 'hecke_orbit_code': 85568736550978383, 'p': 47}
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id: 1404815
{'charpoly_factorization': [[[16777216, 0, 2621440, 262144, 409600, -122880, 68096, -12800, 8720, -936, 100, -10, 1], 1]], 'hecke_orbit_code': 85568736550978383, 'p': 53}
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id: 1404816
{'charpoly_factorization': [[[16, -48, 136, -376, 1036, -324, 266, -118, 59, 15, 7, 1, 1], 1]], 'hecke_orbit_code': 85568736550978383, 'p': 59}
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id: 1404817
{'charpoly_factorization': [[[40960000, -33792000, 19686400, -9994880, 4730896, -1506816, 421880, -105824, 21764, -2064, 190, -16, 1], 1]], 'hecke_orbit_code': 85568736550978383, 'p': 61}
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id: 1404818
{'charpoly_factorization': [[[-424, -88, 3, 1], 4]], 'hecke_orbit_code': 85568736550978383, 'p': 67}
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id: 1404819
{'charpoly_factorization': [[[4797852160000, 674292736000, 110974425600, 14632629760, 1975788096, 100530880, 10916712, 538880, 44689, 725, 233, 5, 1], 1]], 'hecke_orbit_code': 85568736550978383, 'p': 71}
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id: 1404820
{'charpoly_factorization': [[[40960000, 33792000, 19686400, 9994880, 4730896, 1506816, 421880, 105824, 21764, 2064, 190, 16, 1], 1]], 'hecke_orbit_code': 85568736550978383, 'p': 73}
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id: 1404821
{'charpoly_factorization': [[[68719476736, 30601641984, 9869197312, 2855567360, 791666944, 117612288, 14657216, 1641344, 159056, 9696, 556, 28, 1], 1]], 'hecke_orbit_code': 85568736550978383, 'p': 79}
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id: 1404822
{'charpoly_factorization': [[[16777216, -14680064, 10747904, -7307264, 4820992, -1249280, 376320, -97792, 19008, 1472, 120, 8, 1], 1]], 'hecke_orbit_code': 85568736550978383, 'p': 83}
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id: 1404823
{'charpoly_factorization': [[[100, 104, 21, 1], 4]], 'hecke_orbit_code': 85568736550978383, 'p': 89}
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id: 1404824
{'charpoly_factorization': [[[41740124416, -2955053056, 1225006784, -66295744, 27967888, -3806992, 803484, -87656, 17337, -1583, 153, -11, 1], 1]], 'hecke_orbit_code': 85568736550978383, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 6, 'hecke_orbit': 20, 'label': '847.2.f.t', 'level': 847, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 64170253
{'hecke_orbit_code': 85568736550978383, 'n': 1, 'trace_an': 12}
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id: 64170254
{'hecke_orbit_code': 85568736550978383, 'n': 2, 'trace_an': -2}
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id: 64170255
{'hecke_orbit_code': 85568736550978383, 'n': 3, 'trace_an': 1}
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id: 64170256
{'hecke_orbit_code': 85568736550978383, 'n': 4, 'trace_an': -8}
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id: 64170257
{'hecke_orbit_code': 85568736550978383, 'n': 5, 'trace_an': -1}
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id: 64170258
{'hecke_orbit_code': 85568736550978383, 'n': 6, 'trace_an': -12}
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id: 64170259
{'hecke_orbit_code': 85568736550978383, 'n': 7, 'trace_an': -3}
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id: 64170260
{'hecke_orbit_code': 85568736550978383, 'n': 8, 'trace_an': -6}
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id: 64170261
{'hecke_orbit_code': 85568736550978383, 'n': 9, 'trace_an': -4}
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id: 64170262
{'hecke_orbit_code': 85568736550978383, 'n': 10, 'trace_an': -16}
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id: 64170263
{'hecke_orbit_code': 85568736550978383, 'n': 11, 'trace_an': 0}
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id: 64170264
{'hecke_orbit_code': 85568736550978383, 'n': 12, 'trace_an': 8}
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id: 64170265
{'hecke_orbit_code': 85568736550978383, 'n': 13, 'trace_an': -8}
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id: 64170266
{'hecke_orbit_code': 85568736550978383, 'n': 14, 'trace_an': -2}
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id: 64170267
{'hecke_orbit_code': 85568736550978383, 'n': 15, 'trace_an': 5}
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id: 64170268
{'hecke_orbit_code': 85568736550978383, 'n': 16, 'trace_an': -10}
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id: 64170269
{'hecke_orbit_code': 85568736550978383, 'n': 17, 'trace_an': -8}
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id: 64170270
{'hecke_orbit_code': 85568736550978383, 'n': 18, 'trace_an': 18}
-
id: 64170271
{'hecke_orbit_code': 85568736550978383, 'n': 19, 'trace_an': 0}
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id: 64170272
{'hecke_orbit_code': 85568736550978383, 'n': 20, 'trace_an': 14}
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id: 64170273
{'hecke_orbit_code': 85568736550978383, 'n': 21, 'trace_an': -4}
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id: 64170274
{'hecke_orbit_code': 85568736550978383, 'n': 22, 'trace_an': 0}
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id: 64170275
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