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mf_newforms • Show schema
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{'Nk2': 3844, 'analytic_conductor': 7.673623634245045, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 31, 'char_degree': 8, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 15, 'char_parity': 1, 'char_values': [961, 15, [3], [13]], 'cm_discs': [], 'conrey_index': 235, 'dim': 16, 'field_disc': 4208972802978515625, 'field_disc_factorization': [[3, 8], [5, 12], [1621, 2]], 'field_poly': [1, 0, 44, 0, 410, 0, 956, 0, 979, 0, 511, 0, 140, 0, 19, 0, 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, [81, -81, 729, 189, 1521, -18, 561, 132, 292, -282, 221, -22, 6, -4, 9, -4, 1]], [3, [961, -3162, 7574, -15771, 20442, -14157, 4258, 219, -244, -129, 118, -108, 72, -9, -1, -3, 1]]], 'hecke_orbit': 19, 'hecke_orbit_code': 81065205643084737, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 31, 7, 1, 15, 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': False, 'label': '961.2.g.s', 'level': 961, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [31], 'level_radical': 31, 'minimal_twist': '31.2.g.a', 'prim_orbit_index': 7, 'qexp_display': 'q+(\\beta _{2}-\\beta _{3}-\\beta _{9}-\\beta _{10}+\\beta _{12}+\\beta _{13}+\\cdots)q^{2}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c15', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '961.2.g', 'trace_display': [4, 3, -3, -3], 'trace_hash': 1415750254356338067, 'trace_moments': 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mf_hecke_cc • Show schema
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9, 'embedding_index': 1, 'embedding_m': 1, 'embedding_root_imag': -0.3331286879613258, 'embedding_root_real': 0.0, 'hecke_orbit': 19, 'hecke_orbit_code': 81065205643084737, 'label': '961.2.g.s.235.1', 'level': 961, 'weight': 2}
-
mf_newspaces • Show schema
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{'Nk2': 3844, 'analytic_conductor': 7.673623634245045, 'char_conductor': 31, 'char_degree': 8, 'char_is_real': False, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 15, 'char_parity': 1, 'char_values': [961, 15, [3], [13]], 'conrey_index': 235, 'cusp_dim': 536, 'dim': 504, 'eis_dim': 256, 'eis_new_dim': 224, 'hecke_cutter_primes': [2, 3], 'hecke_orbit_code': 412350415809, 'hecke_orbit_dims': [8, 8, 8, 8, 8, 8, 8, 8, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 24, 96, 128], 'label': '961.2.g', 'level': 961, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [31], 'level_radical': 31, 'mf_dim': 792, 'mf_new_dim': 728, 'num_forms': 23, 'prim_orbit_index': 7, 'relative_dim': 63, 'sturm_bound': 165, 'trace_bound': 7, 'trace_display': [6, 12, 3, -2], 'traces': [504, 6, 12, -86, 3, -11, -2, -23, 45, 5, 7, -5, 7, 9, -14, -38, 6, 3, -16, -34, 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mf_twists_cc • Show schema
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id: 48236764
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 235, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81065205643084737, 'source_is_minimal': False, 'source_label': '961.2.g.s.235.1', 'source_level': 961, 'target_conrey_index': 235, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 81065205643084737, 'target_is_minimal': False, 'target_label': '961.2.g.s.235.1', 'target_level': 961, 'twist_class_label': '31.2.g.a.14.2', 'twist_class_level': 31, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48236765
{'conductor': 31, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 235, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81065205643084737, 'source_is_minimal': False, 'source_label': '961.2.g.s.235.1', 'source_level': 961, 'target_conrey_index': 816, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 85568805270455233, 'target_is_minimal': False, 'target_label': '961.2.g.t.816.1', 'target_level': 961, 'twist_class_label': '31.2.g.a.14.2', 'twist_class_level': 31, 'twisting_char_label': '31.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48236766
{'conductor': 31, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 235, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81065205643084737, 'source_is_minimal': False, 'source_label': '961.2.g.s.235.1', 'source_level': 961, 'target_conrey_index': 844, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 40532808996750273, 'target_is_minimal': False, 'target_label': '961.2.g.j.844.2', 'target_level': 961, 'twist_class_label': '31.2.g.a.14.2', 'twist_class_level': 31, 'twisting_char_label': '31.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48236767
{'conductor': 31, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 235, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81065205643084737, 'source_is_minimal': False, 'source_label': '961.2.g.s.235.1', 'source_level': 961, 'target_conrey_index': 846, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 45036408624120769, 'target_is_minimal': False, 'target_label': '961.2.g.k.846.2', 'target_level': 961, 'twist_class_label': '31.2.g.a.14.2', 'twist_class_level': 31, 'twisting_char_label': '31.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 48236768
{'conductor': 31, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 235, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81065205643084737, 'source_is_minimal': False, 'source_label': '961.2.g.s.235.1', 'source_level': 961, 'target_conrey_index': 388, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67554200602543041, 'target_is_minimal': False, 'target_label': '961.2.d.p.388.1', 'target_level': 961, 'twist_class_label': '31.2.g.a.14.2', 'twist_class_level': 31, 'twisting_char_label': '31.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 48236769
{'conductor': 31, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 235, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81065205643084737, 'source_is_minimal': False, 'source_label': '961.2.g.s.235.1', 'source_level': 961, 'target_conrey_index': 338, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 58547207506232257, 'target_is_minimal': False, 'target_label': '961.2.g.n.338.1', 'target_level': 961, 'twist_class_label': '31.2.g.a.14.2', 'twist_class_level': 31, 'twisting_char_label': '31.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 48236770
{'conductor': 31, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 235, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81065205643084737, 'source_is_minimal': False, 'source_label': '961.2.g.s.235.1', 'source_level': 961, 'target_conrey_index': 14, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 412350414879, 'target_is_minimal': True, 'target_label': '31.2.g.a.14.2', 'target_level': 31, 'twist_class_label': '31.2.g.a.14.2', 'twist_class_level': 31, 'twisting_char_label': '31.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 48236771
{'conductor': 31, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 235, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81065205643084737, 'source_is_minimal': False, 'source_label': '961.2.g.s.235.1', 'source_level': 961, 'target_conrey_index': 439, 'target_dim': 16, 'target_embedding_index': 7, 'target_hecke_orbit_code': 40532534118843329, 'target_is_minimal': False, 'target_label': '961.2.c.j.439.7', 'target_level': 961, 'twist_class_label': '31.2.g.a.14.2', 'twist_class_level': 31, 'twisting_char_label': '31.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 48236772
{'conductor': 31, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 235, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81065205643084737, 'source_is_minimal': False, 'source_label': '961.2.g.s.235.1', 'source_level': 961, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 7, 'target_hecke_orbit_code': 36028797052519361, 'target_is_minimal': False, 'target_label': '961.2.a.i.1.7', 'target_level': 961, 'twist_class_label': '31.2.g.a.14.2', 'twist_class_level': 31, 'twisting_char_label': '31.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 48236773
{'conductor': 31, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 235, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81065205643084737, 'source_is_minimal': False, 'source_label': '961.2.g.s.235.1', 'source_level': 961, 'target_conrey_index': 374, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67554200602543041, 'target_is_minimal': False, 'target_label': '961.2.d.p.374.1', 'target_level': 961, 'twist_class_label': '31.2.g.a.14.2', 'twist_class_level': 31, 'twisting_char_label': '31.10', 'twisting_conrey_index': 10, 'weight': 2}
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id: 48236774
{'conductor': 31, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 235, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81065205643084737, 'source_is_minimal': False, 'source_label': '961.2.g.s.235.1', 'source_level': 961, 'target_conrey_index': 628, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 58547001347802049, 'target_is_minimal': False, 'target_label': '961.2.d.n.628.4', 'target_level': 961, 'twist_class_label': '31.2.g.a.14.2', 'twist_class_level': 31, 'twisting_char_label': '31.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 48236775
{'conductor': 31, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 235, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81065205643084737, 'source_is_minimal': False, 'source_label': '961.2.g.s.235.1', 'source_level': 961, 'target_conrey_index': 732, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043607878861761, 'target_is_minimal': False, 'target_label': '961.2.g.m.732.1', 'target_level': 961, 'twist_class_label': '31.2.g.a.14.2', 'twist_class_level': 31, 'twisting_char_label': '31.12', 'twisting_conrey_index': 12, 'weight': 2}
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id: 48236776
{'conductor': 31, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 235, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81065205643084737, 'source_is_minimal': False, 'source_label': '961.2.g.s.235.1', 'source_level': 961, 'target_conrey_index': 531, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 58547001347802049, 'target_is_minimal': False, 'target_label': '961.2.d.n.531.4', 'target_level': 961, 'twist_class_label': '31.2.g.a.14.2', 'twist_class_level': 31, 'twisting_char_label': '31.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 48236777
{'conductor': 31, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 235, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81065205643084737, 'source_is_minimal': False, 'source_label': '961.2.g.s.235.1', 'source_level': 961, 'target_conrey_index': 521, 'target_dim': 16, 'target_embedding_index': 7, 'target_hecke_orbit_code': 40532534118843329, 'target_is_minimal': False, 'target_label': '961.2.c.j.521.7', 'target_level': 961, 'twist_class_label': '31.2.g.a.14.2', 'twist_class_level': 31, 'twisting_char_label': '31.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 48236778
{'conductor': 31, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 235, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81065205643084737, 'source_is_minimal': False, 'source_label': '961.2.g.s.235.1', 'source_level': 961, 'target_conrey_index': 547, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 49540008251491265, 'target_is_minimal': False, 'target_label': '961.2.g.l.547.2', 'target_level': 961, 'twist_class_label': '31.2.g.a.14.2', 'twist_class_level': 31, 'twisting_char_label': '31.15', 'twisting_conrey_index': 15, 'weight': 2}
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id: 48236779
{'conductor': 31, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 235, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81065205643084737, 'source_is_minimal': False, 'source_label': '961.2.g.s.235.1', 'source_level': 961, 'target_conrey_index': 20, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 412350414879, 'target_is_minimal': True, 'target_label': '31.2.g.a.20.2', 'target_level': 31, 'twist_class_label': '31.2.g.a.14.2', 'twist_class_level': 31, 'twisting_char_label': '31.16', 'twisting_conrey_index': 16, 'weight': 2}
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id: 48236780
{'conductor': 31, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 235, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81065205643084737, 'source_is_minimal': False, 'source_label': '961.2.g.s.235.1', 'source_level': 961, 'target_conrey_index': 521, 'target_dim': 16, 'target_embedding_index': 7, 'target_hecke_orbit_code': 36028934491472833, 'target_is_minimal': False, 'target_label': '961.2.c.i.521.7', 'target_level': 961, 'twist_class_label': '31.2.g.a.14.2', 'twist_class_level': 31, 'twisting_char_label': '31.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 48236781
{'conductor': 31, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 235, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81065205643084737, 'source_is_minimal': False, 'source_label': '961.2.g.s.235.1', 'source_level': 961, 'target_conrey_index': 531, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 63050600975172545, 'target_is_minimal': False, 'target_label': '961.2.d.o.531.4', 'target_level': 961, 'twist_class_label': '31.2.g.a.14.2', 'twist_class_level': 31, 'twisting_char_label': '31.18', 'twisting_conrey_index': 18, 'weight': 2}
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id: 48236782
{'conductor': 31, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 235, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81065205643084737, 'source_is_minimal': False, 'source_label': '961.2.g.s.235.1', 'source_level': 961, 'target_conrey_index': 732, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 81065205643084737, 'target_is_minimal': False, 'target_label': '961.2.g.s.732.1', 'target_level': 961, 'twist_class_label': '31.2.g.a.14.2', 'twist_class_level': 31, 'twisting_char_label': '31.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 48236783
{'conductor': 31, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 235, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81065205643084737, 'source_is_minimal': False, 'source_label': '961.2.g.s.235.1', 'source_level': 961, 'target_conrey_index': 628, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 63050600975172545, 'target_is_minimal': False, 'target_label': '961.2.d.o.628.4', 'target_level': 961, 'twist_class_label': '31.2.g.a.14.2', 'twist_class_level': 31, 'twisting_char_label': '31.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 48236784
{'conductor': 31, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 235, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81065205643084737, 'source_is_minimal': False, 'source_label': '961.2.g.s.235.1', 'source_level': 961, 'target_conrey_index': 374, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 72057800229913537, 'target_is_minimal': False, 'target_label': '961.2.d.q.374.1', 'target_level': 961, 'twist_class_label': '31.2.g.a.14.2', 'twist_class_level': 31, 'twisting_char_label': '31.21', 'twisting_conrey_index': 21, 'weight': 2}
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id: 48236785
{'conductor': 31, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 235, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81065205643084737, 'source_is_minimal': False, 'source_label': '961.2.g.s.235.1', 'source_level': 961, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 7, 'target_hecke_orbit_code': 40532396679889857, 'target_is_minimal': False, 'target_label': '961.2.a.j.1.7', 'target_level': 961, 'twist_class_label': '31.2.g.a.14.2', 'twist_class_level': 31, 'twisting_char_label': '31.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 48236786
{'conductor': 31, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 235, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81065205643084737, 'source_is_minimal': False, 'source_label': '961.2.g.s.235.1', 'source_level': 961, 'target_conrey_index': 439, 'target_dim': 16, 'target_embedding_index': 7, 'target_hecke_orbit_code': 36028934491472833, 'target_is_minimal': False, 'target_label': '961.2.c.i.439.7', 'target_level': 961, 'twist_class_label': '31.2.g.a.14.2', 'twist_class_level': 31, 'twisting_char_label': '31.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 48236787
{'conductor': 31, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 235, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81065205643084737, 'source_is_minimal': False, 'source_label': '961.2.g.s.235.1', 'source_level': 961, 'target_conrey_index': 448, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 49540008251491265, 'target_is_minimal': False, 'target_label': '961.2.g.l.448.2', 'target_level': 961, 'twist_class_label': '31.2.g.a.14.2', 'twist_class_level': 31, 'twisting_char_label': '31.24', 'twisting_conrey_index': 24, 'weight': 2}
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id: 48236788
{'conductor': 31, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 235, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81065205643084737, 'source_is_minimal': False, 'source_label': '961.2.g.s.235.1', 'source_level': 961, 'target_conrey_index': 338, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 85568805270455233, 'target_is_minimal': False, 'target_label': '961.2.g.t.338.1', 'target_level': 961, 'twist_class_label': '31.2.g.a.14.2', 'twist_class_level': 31, 'twisting_char_label': '31.25', 'twisting_conrey_index': 25, 'weight': 2}
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id: 48236789
{'conductor': 31, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 235, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81065205643084737, 'source_is_minimal': False, 'source_label': '961.2.g.s.235.1', 'source_level': 961, 'target_conrey_index': 388, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 72057800229913537, 'target_is_minimal': False, 'target_label': '961.2.d.q.388.1', 'target_level': 961, 'twist_class_label': '31.2.g.a.14.2', 'twist_class_level': 31, 'twisting_char_label': '31.26', 'twisting_conrey_index': 26, 'weight': 2}
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id: 48236790
{'conductor': 31, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 235, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81065205643084737, 'source_is_minimal': False, 'source_label': '961.2.g.s.235.1', 'source_level': 961, 'target_conrey_index': 846, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 40532808996750273, 'target_is_minimal': False, 'target_label': '961.2.g.j.846.2', 'target_level': 961, 'twist_class_label': '31.2.g.a.14.2', 'twist_class_level': 31, 'twisting_char_label': '31.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 48236791
{'conductor': 31, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 235, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81065205643084737, 'source_is_minimal': False, 'source_label': '961.2.g.s.235.1', 'source_level': 961, 'target_conrey_index': 844, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 45036408624120769, 'target_is_minimal': False, 'target_label': '961.2.g.k.844.2', 'target_level': 961, 'twist_class_label': '31.2.g.a.14.2', 'twist_class_level': 31, 'twisting_char_label': '31.28', 'twisting_conrey_index': 28, 'weight': 2}
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id: 48236792
{'conductor': 31, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 235, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81065205643084737, 'source_is_minimal': False, 'source_label': '961.2.g.s.235.1', 'source_level': 961, 'target_conrey_index': 816, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 58547207506232257, 'target_is_minimal': False, 'target_label': '961.2.g.n.816.1', 'target_level': 961, 'twist_class_label': '31.2.g.a.14.2', 'twist_class_level': 31, 'twisting_char_label': '31.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 48236793
{'conductor': 31, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 235, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81065205643084737, 'source_is_minimal': False, 'source_label': '961.2.g.s.235.1', 'source_level': 961, 'target_conrey_index': 235, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043607878861761, 'target_is_minimal': False, 'target_label': '961.2.g.m.235.1', 'target_level': 961, 'twist_class_label': '31.2.g.a.14.2', 'twist_class_level': 31, 'twisting_char_label': '31.30', 'twisting_conrey_index': 30, 'weight': 2}
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id: 48236794
{'conductor': 93, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 235, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81065205643084737, 'source_is_minimal': False, 'source_label': '961.2.g.s.235.1', 'source_level': 961, 'target_conrey_index': 262, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008848555737367, 'target_is_minimal': False, 'target_label': '279.2.y.c.262.1', 'target_level': 279, 'twist_class_label': '31.2.g.a.14.2', 'twist_class_level': 31, 'twisting_char_label': '93.38', 'twisting_conrey_index': 38, 'weight': 2}
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id: 48236795
{'conductor': 93, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 235, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81065205643084737, 'source_is_minimal': False, 'source_label': '961.2.g.s.235.1', 'source_level': 961, 'target_conrey_index': 82, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008848555737367, 'target_is_minimal': False, 'target_label': '279.2.y.c.82.1', 'target_level': 279, 'twist_class_label': '31.2.g.a.14.2', 'twist_class_level': 31, 'twisting_char_label': '93.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 48236796
{'conductor': 93, 'degree': 8, 'order': 30, 'parity': 1, 'source_conrey_index': 235, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81065205643084737, 'source_is_minimal': False, 'source_label': '961.2.g.s.235.1', 'source_level': 961, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 135107988854677961, 'target_is_minimal': False, 'target_label': '8649.2.a.be.1.2', 'target_level': 8649, 'twist_class_label': '31.2.g.a.14.2', 'twist_class_level': 31, 'twisting_char_label': '93.53', 'twisting_conrey_index': 53, 'weight': 2}
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id: 48236797
{'conductor': 93, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 235, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81065205643084737, 'source_is_minimal': False, 'source_label': '961.2.g.s.235.1', 'source_level': 961, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 139611588482048457, 'target_is_minimal': False, 'target_label': '8649.2.a.bf.1.2', 'target_level': 8649, 'twist_class_label': '31.2.g.a.14.2', 'twist_class_level': 31, 'twisting_char_label': '93.71', 'twisting_conrey_index': 71, 'weight': 2}
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id: 48236798
{'conductor': 124, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 235, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81065205643084737, 'source_is_minimal': False, 'source_label': '961.2.g.s.235.1', 'source_level': 961, 'target_conrey_index': 417, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9009398311551472, 'target_is_minimal': False, 'target_label': '496.2.bg.c.417.2', 'target_level': 496, 'twist_class_label': '31.2.g.a.14.2', 'twist_class_level': 31, 'twisting_char_label': '124.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 48236799
{'conductor': 124, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 235, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81065205643084737, 'source_is_minimal': False, 'source_label': '961.2.g.s.235.1', 'source_level': 961, 'target_conrey_index': 113, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9009398311551472, 'target_is_minimal': False, 'target_label': '496.2.bg.c.113.2', 'target_level': 496, 'twist_class_label': '31.2.g.a.14.2', 'twist_class_level': 31, 'twisting_char_label': '124.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 48236800
{'conductor': 155, 'degree': 16, 'order': 60, 'parity': -1, 'source_conrey_index': 235, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81065205643084737, 'source_is_minimal': False, 'source_label': '961.2.g.s.235.1', 'source_level': 961, 'target_conrey_index': 324, 'target_dim': 32, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4260641112839, 'target_is_minimal': False, 'target_label': '775.2.ck.a.324.3', 'target_level': 775, 'twist_class_label': '31.2.g.a.14.2', 'twist_class_level': 31, 'twisting_char_label': '155.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 48236801
{'conductor': 155, 'degree': 16, 'order': 60, 'parity': -1, 'source_conrey_index': 235, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81065205643084737, 'source_is_minimal': False, 'source_label': '961.2.g.s.235.1', 'source_level': 961, 'target_conrey_index': 324, 'target_dim': 32, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4260641112839, 'target_is_minimal': False, 'target_label': '775.2.ck.a.324.2', 'target_level': 775, 'twist_class_label': '31.2.g.a.14.2', 'twist_class_level': 31, 'twisting_char_label': '155.38', 'twisting_conrey_index': 38, 'weight': 2}
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id: 48236802
{'conductor': 155, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 235, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81065205643084737, 'source_is_minimal': False, 'source_label': '961.2.g.s.235.1', 'source_level': 961, 'target_conrey_index': 299, 'target_dim': 32, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4260641112839, 'target_is_minimal': False, 'target_label': '775.2.ck.a.299.2', 'target_level': 775, 'twist_class_label': '31.2.g.a.14.2', 'twist_class_level': 31, 'twisting_char_label': '155.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 48236803
{'conductor': 155, 'degree': 8, 'order': 30, 'parity': 1, 'source_conrey_index': 235, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81065205643084737, 'source_is_minimal': False, 'source_label': '961.2.g.s.235.1', 'source_level': 961, 'target_conrey_index': 76, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 2542654194439, 'target_is_minimal': False, 'target_label': '775.2.bl.a.76.1', 'target_level': 775, 'twist_class_label': '31.2.g.a.14.2', 'twist_class_level': 31, 'twisting_char_label': '155.69', 'twisting_conrey_index': 69, 'weight': 2}
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id: 48236804
{'conductor': 155, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 235, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81065205643084737, 'source_is_minimal': False, 'source_label': '961.2.g.s.235.1', 'source_level': 961, 'target_conrey_index': 299, 'target_dim': 32, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4260641112839, 'target_is_minimal': False, 'target_label': '775.2.ck.a.299.3', 'target_level': 775, 'twist_class_label': '31.2.g.a.14.2', 'twist_class_level': 31, 'twisting_char_label': '155.78', 'twisting_conrey_index': 78, 'weight': 2}
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id: 48236805
{'conductor': 155, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 235, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81065205643084737, 'source_is_minimal': False, 'source_label': '961.2.g.s.235.1', 'source_level': 961, 'target_conrey_index': 51, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 2542654194439, 'target_is_minimal': False, 'target_label': '775.2.bl.a.51.1', 'target_level': 775, 'twist_class_label': '31.2.g.a.14.2', 'twist_class_level': 31, 'twisting_char_label': '155.109', 'twisting_conrey_index': 109, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1541675
{'charpoly_factorization': [[[81, -81, 729, 189, 1521, -18, 561, 132, 292, -282, 221, -22, 6, -4, 9, -4, 1], 1]], 'hecke_orbit_code': 81065205643084737, 'p': 2}
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id: 1541676
{'charpoly_factorization': [[[961, -3162, 7574, -15771, 20442, -14157, 4258, 219, -244, -129, 118, -108, 72, -9, -1, -3, 1], 1]], 'hecke_orbit_code': 81065205643084737, 'p': 3}
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id: 1541677
{'charpoly_factorization': [[[77841, 170748, 358641, 264222, 286866, 136584, 145524, 52026, 36937, 9366, 5944, 1239, 576, 72, 31, 3, 1], 1]], 'hecke_orbit_code': 81065205643084737, 'p': 5}
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id: 1541678
{'charpoly_factorization': [[[68121, -169128, 178929, -129789, 92052, -11628, 20163, -21459, 1336, 1049, 1563, 788, -33, -91, -16, 3, 1], 1]], 'hecke_orbit_code': 81065205643084737, 'p': 7}
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id: 1541679
{'charpoly_factorization': [[[77841, 160704, 204687, 148230, -66330, -224289, -101694, 37545, 57829, 20350, 1414, -847, -255, -65, -2, 2, 1], 1]], 'hecke_orbit_code': 81065205643084737, 'p': 11}
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id: 1541680
{'charpoly_factorization': [[[77841, 1127439, 5657877, 11936970, 15430725, 14237181, 10156311, 5845380, 2763169, 1075820, 343479, 89153, 18525, 2990, 353, 27, 1], 1]], 'hecke_orbit_code': 81065205643084737, 'p': 13}
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id: 1541681
{'charpoly_factorization': [[[74805201, 111001266, 89465256, 49982292, 8516727, -8317134, -3759498, 134607, 170086, -1998, 10082, 3871, 1227, 412, 111, 16, 1], 1]], 'hecke_orbit_code': 81065205643084737, 'p': 17}
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id: 1541682
{'charpoly_factorization': [[[361201, 151452, 563663, 456580, -654070, -804937, -51471, 254425, 177024, 84260, 28411, 4826, -50, -195, -13, 4, 1], 1]], 'hecke_orbit_code': 81065205643084737, 'p': 19}
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id: 1541683
{'charpoly_factorization': [[[77841, -303831, 769365, -1487970, 3069315, -3509028, 3661038, -2065155, 906715, -345905, 115458, -30458, 6915, -1370, 215, -21, 1], 1]], 'hecke_orbit_code': 81065205643084737, 'p': 23}
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id: 1541684
{'charpoly_factorization': [[[77841, 308853, 4418469, -3657717, 2652813, -292302, 536001, -694446, 992068, -381052, 162139, -52076, 13428, -2524, 331, -26, 1], 1]], 'hecke_orbit_code': 81065205643084737, 'p': 29}
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id: 1541685
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 81065205643084737, 'p': 31}
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id: 1541686
{'charpoly_factorization': [[[344807761, 1215563878, 4527747446, -158428158, 1409594951, 346528319, 277619329, 46820571, 20869117, 3571101, 1088869, 128479, 20471, 1242, 176, 8, 1], 1]], 'hecke_orbit_code': 81065205643084737, 'p': 37}
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id: 1541687
{'charpoly_factorization': [[[81, 1377, 7344, 7911, 72882, 109647, 498843, 1539576, 1519996, 390409, 49623, 4333, -663, -461, -31, 3, 1], 1]], 'hecke_orbit_code': 81065205643084737, 'p': 41}
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id: 1541688
{'charpoly_factorization': [[[7612081, -43327336, 240865337, -647735840, 2353320290, -1438484969, 518835336, -131668645, 15579459, 1327990, -261816, -59557, 7355, 1205, -142, -8, 1], 1]], 'hecke_orbit_code': 81065205643084737, 'p': 43}
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id: 1541689
{'charpoly_factorization': [[[3306365001, -3083836131, 4253565879, -5310327276, 4421513826, -1096941033, 194270091, -24187233, 7026472, -1110857, 316471, -37432, 7431, -824, 109, -4, 1], 1]], 'hecke_orbit_code': 81065205643084737, 'p': 47}
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id: 1541690
{'charpoly_factorization': [[[366207732801, -917161409241, 1085449528341, -808309887777, 425289930732, -168429376701, 52284839607, -13062649437, 2665375956, -446394807, 61270047, -6838641, 609462, -41832, 2076, -66, 1], 1]], 'hecke_orbit_code': 81065205643084737, 'p': 53}
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id: 1541691
{'charpoly_factorization': [[[167728401, -124601571, -613442106, 249785424, 1395413631, 1408487247, 967264911, 497297427, 196981942, 57146113, 12050166, 1893043, 226296, 20221, 1274, 51, 1], 1]], 'hecke_orbit_code': 81065205643084737, 'p': 59}
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id: 1541692
{'charpoly_factorization': [[[38161, 31425, -7053, -11295, -1591, 855, 288, 30, 1], 2]], 'hecke_orbit_code': 81065205643084737, 'p': 61}
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id: 1541693
{'charpoly_factorization': [[[7485883441, 12302334469, 24095669462, -825845775, 6283805060, 619634861, 968412901, -3609120, 44237164, -1954980, 1582339, -90377, 25715, -1215, 278, -13, 1], 1]], 'hecke_orbit_code': 81065205643084737, 'p': 67}
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id: 1541694
{'charpoly_factorization': [[[214944921, 351512136, 513537489, 439909461, 305852436, 127081413, 39777156, 2436978, -2623103, -326258, 146856, 8077, -6984, -551, 149, 24, 1], 1]], 'hecke_orbit_code': 81065205643084737, 'p': 71}
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id: 1541695
{'charpoly_factorization': [[[17441907675201, 5873331878181, 3437191832157, 729455480280, 126828879930, 14008447089, 4494547026, 723663915, 33684619, 10902200, 219789, -420928, -9450, 5015, -7, -27, 1], 1]], 'hecke_orbit_code': 81065205643084737, 'p': 73}
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id: 1541696
{'charpoly_factorization': [[[84609661119201, 17015330440224, -3027879412353, -777857083200, 2577058560, -9250226604, 16537324956, 670014510, -240705701, -6248430, 1430774, 29518, -12270, 100, 93, -8, 1], 1]], 'hecke_orbit_code': 81065205643084737, 'p': 79}
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id: 1541697
{'charpoly_factorization': [[[1446653267361, -4619599986276, 8597733968124, 10729811726559, 3548912301396, 405973402542, 29422879416, 4786855767, 68901442, -57281252, 7126501, -585427, 10671, 1771, -191, -4, 1], 1]], 'hecke_orbit_code': 81065205643084737, 'p': 83}
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id: 1541698
{'charpoly_factorization': [[[117957215601, -55218356424, 17216123859, -5836189239, 5208878241, -1639323837, 903290961, -382040742, 145308217, -38503948, 8009401, -1134053, 126351, -8251, 499, -26, 1], 1]], 'hecke_orbit_code': 81065205643084737, 'p': 89}
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id: 1541699
{'charpoly_factorization': [[[7131992195241, 5794216386192, 5848135989966, 1619407586358, 242861845896, 18848705526, 13417693884, 1273721379, 417474787, 60866229, 10463279, 1269046, 126921, 9958, 741, 37, 1], 1]], 'hecke_orbit_code': 81065205643084737, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 7, 'hecke_orbit': 19, 'label': '961.2.g.s', 'level': 961, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 63532219
{'hecke_orbit_code': 81065205643084737, 'n': 1, 'trace_an': 16}
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id: 63532220
{'hecke_orbit_code': 81065205643084737, 'n': 2, 'trace_an': 4}
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id: 63532221
{'hecke_orbit_code': 81065205643084737, 'n': 3, 'trace_an': 3}
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id: 63532222
{'hecke_orbit_code': 81065205643084737, 'n': 4, 'trace_an': 6}
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id: 63532223
{'hecke_orbit_code': 81065205643084737, 'n': 5, 'trace_an': -3}
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id: 63532224
{'hecke_orbit_code': 81065205643084737, 'n': 6, 'trace_an': 11}
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id: 63532225
{'hecke_orbit_code': 81065205643084737, 'n': 7, 'trace_an': -3}
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id: 63532226
{'hecke_orbit_code': 81065205643084737, 'n': 8, 'trace_an': -8}
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id: 63532227
{'hecke_orbit_code': 81065205643084737, 'n': 9, 'trace_an': 5}
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id: 63532228
{'hecke_orbit_code': 81065205643084737, 'n': 10, 'trace_an': 18}
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id: 63532229
{'hecke_orbit_code': 81065205643084737, 'n': 11, 'trace_an': -2}
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id: 63532230
{'hecke_orbit_code': 81065205643084737, 'n': 12, 'trace_an': -20}
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id: 63532231
{'hecke_orbit_code': 81065205643084737, 'n': 13, 'trace_an': -27}
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id: 63532232
{'hecke_orbit_code': 81065205643084737, 'n': 14, 'trace_an': -6}
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id: 63532233
{'hecke_orbit_code': 81065205643084737, 'n': 15, 'trace_an': 4}
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id: 63532234
{'hecke_orbit_code': 81065205643084737, 'n': 16, 'trace_an': -2}
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id: 63532235
{'hecke_orbit_code': 81065205643084737, 'n': 17, 'trace_an': -16}
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id: 63532236
{'hecke_orbit_code': 81065205643084737, 'n': 18, 'trace_an': 22}
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id: 63532237
{'hecke_orbit_code': 81065205643084737, 'n': 19, 'trace_an': -4}
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id: 63532238
{'hecke_orbit_code': 81065205643084737, 'n': 20, 'trace_an': -18}
-
id: 63532239
{'hecke_orbit_code': 81065205643084737, 'n': 21, 'trace_an': 29}
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id: 63532240
{'hecke_orbit_code': 81065205643084737, 'n': 22, 'trace_an': 4}
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id: 63532241
{'hecke_orbit_code': 81065205643084737, 'n': 23, 'trace_an': 21}
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id: 63532242
{'hecke_orbit_code': 81065205643084737, 'n': 24, 'trace_an': -25}
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id: 63532243
{'hecke_orbit_code': 81065205643084737, 'n': 25, 'trace_an': -13}
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id: 63532244
{'hecke_orbit_code': 81065205643084737, 'n': 26, 'trace_an': 9}
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id: 63532245
{'hecke_orbit_code': 81065205643084737, 'n': 27, 'trace_an': 9}
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