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mf_newforms • Show schema
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{'Nk2': 1872, 'analytic_conductor': 6.9032234706716515, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [13, 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': [117, 1, [92, 28], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 17, 'field_disc_factorization': [[17, 1]], 'field_poly': [-4, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [-4, 1, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13510798949220469, 'hecke_ring_generator_nbound': 2, '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': '117.4.a.d', 'level': 117, '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, 13], 'level_radical': 39, 'minimal_twist': '13.4.a.b', 'nf_label': '2.2.17.1', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta q^{2}+(-4+\\beta )q^{4}+(2-\\beta )q^{5}+(-10+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '117.4.a', 'trace_display': [-1, 0, 3, -9], 'trace_hash': 1794275299047160358, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.949', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.018', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
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{'ALdims': [4, 2, 4, 5], 'ALdims_eis_new': [0, 0, 0, 0], 'ALdims_eis_old': [2, 2, 2, 2], 'ALdims_old': [7, 7, 4, 5], 'Nk2': 1872, 'analytic_conductor': 6.9032234706716515, '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': [117, 1, [92, 28], [1, 1]], 'conrey_index': 1, 'cusp_dim': 38, 'dim': 15, 'eis_dim': 8, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 67108981, 'hecke_orbit_dims': [1, 1, 2, 2, 2, 3, 4], 'label': '117.4.a', 'level': 117, '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, 13], 'level_radical': 39, 'mf_dim': 46, 'mf_new_dim': 15, 'num_forms': 7, 'plus_dim': 9, 'prim_orbit_index': 1, 'relative_dim': 15, 'sturm_bound': 56, 'trace_bound': 2, 'trace_display': [0, 0, -6, 2], 'traces': [15, 0, 0, 82, -6, 0, 2, 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mf_twists_cc • Show schema
Hide schema
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id: 42877915
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510798949220469, 'source_is_minimal': False, 'source_label': '117.4.a.d.1.2', 'source_level': 117, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13510798949220469, 'target_is_minimal': False, 'target_label': '117.4.a.d.1.2', 'target_level': 117, 'twist_class_label': '13.4.a.b.1.1', 'twist_class_level': 13, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 4}
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id: 42877916
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510798949220469, 'source_is_minimal': False, 'source_label': '117.4.a.d.1.2', 'source_level': 117, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599694479373, 'target_is_minimal': True, 'target_label': '13.4.a.b.1.1', 'target_level': 13, 'twist_class_label': '13.4.a.b.1.1', 'twist_class_level': 13, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 42877917
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510798949220469, 'source_is_minimal': False, 'source_label': '117.4.a.d.1.2', 'source_level': 117, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 121597190006114128, 'target_is_minimal': False, 'target_label': '1872.4.a.bb.1.2', 'target_level': 1872, 'twist_class_label': '13.4.a.b.1.1', 'twist_class_level': 13, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 42877918
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510798949220469, 'source_is_minimal': False, 'source_label': '117.4.a.d.1.2', 'source_level': 117, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525197458702544, 'target_is_minimal': False, 'target_label': '208.4.a.h.1.1', 'target_level': 208, 'twist_class_label': '13.4.a.b.1.1', 'twist_class_level': 13, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 4}
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id: 42877919
{'conductor': 13, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510798949220469, 'source_is_minimal': False, 'source_label': '117.4.a.d.1.2', 'source_level': 117, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 76561193732408817, 'target_is_minimal': False, 'target_label': '1521.4.a.r.1.1', 'target_level': 1521, 'twist_class_label': '13.4.a.b.1.1', 'twist_class_level': 13, 'twisting_char_label': '13.12', 'twisting_conrey_index': 12, 'weight': 4}
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id: 42877920
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510798949220469, 'source_is_minimal': False, 'source_label': '117.4.a.d.1.2', 'source_level': 117, 'target_conrey_index': 274, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014467296067909, 'target_is_minimal': False, 'target_label': '325.4.b.e.274.2', 'target_level': 325, 'twist_class_label': '13.4.a.b.1.1', 'twist_class_level': 13, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 42877921
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510798949220469, 'source_is_minimal': False, 'source_label': '117.4.a.d.1.2', 'source_level': 117, 'target_conrey_index': 274, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 18014467296067909, 'target_is_minimal': False, 'target_label': '325.4.b.e.274.3', 'target_level': 325, 'twist_class_label': '13.4.a.b.1.1', 'twist_class_level': 13, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 4}
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id: 42877922
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510798949220469, 'source_is_minimal': False, 'source_label': '117.4.a.d.1.2', 'source_level': 117, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22517998203961669, 'target_is_minimal': False, 'target_label': '325.4.a.f.1.2', 'target_level': 325, 'twist_class_label': '13.4.a.b.1.1', 'twist_class_level': 13, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 4}
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id: 42877923
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510798949220469, 'source_is_minimal': False, 'source_label': '117.4.a.d.1.2', 'source_level': 117, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599694479997, 'target_is_minimal': False, 'target_label': '637.4.a.b.1.1', 'target_level': 637, 'twist_class_label': '13.4.a.b.1.1', 'twist_class_level': 13, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 4}
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id: 42877924
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510798949220469, 'source_is_minimal': False, 'source_label': '117.4.a.d.1.2', 'source_level': 117, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 81064793359778624, 'target_is_minimal': False, 'target_label': '832.4.a.s.1.1', 'target_level': 832, 'twist_class_label': '13.4.a.b.1.1', 'twist_class_level': 13, 'twisting_char_label': '24.5', 'twisting_conrey_index': 5, 'weight': 4}
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id: 42877925
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510798949220469, 'source_is_minimal': False, 'source_label': '117.4.a.d.1.2', 'source_level': 117, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 112589990751372096, 'target_is_minimal': False, 'target_label': '832.4.a.z.1.2', 'target_level': 832, 'twist_class_label': '13.4.a.b.1.1', 'twist_class_level': 13, 'twisting_char_label': '24.11', 'twisting_conrey_index': 11, 'weight': 4}
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id: 42877926
{'conductor': 33, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510798949220469, 'source_is_minimal': False, 'source_label': '117.4.a.d.1.2', 'source_level': 117, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503599694480933, 'target_is_minimal': False, 'target_label': '1573.4.a.b.1.2', 'target_level': 1573, 'twist_class_label': '13.4.a.b.1.1', 'twist_class_level': 13, 'twisting_char_label': '33.32', 'twisting_conrey_index': 32, 'weight': 4}
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id: 42877927
{'conductor': 39, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510798949220469, 'source_is_minimal': False, 'source_label': '117.4.a.d.1.2', 'source_level': 117, 'target_conrey_index': 147, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518273081868457, 'target_is_minimal': False, 'target_label': '169.4.e.f.147.2', 'target_level': 169, 'twist_class_label': '13.4.a.b.1.1', 'twist_class_level': 13, 'twisting_char_label': '39.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 42877928
{'conductor': 39, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510798949220469, 'source_is_minimal': False, 'source_label': '117.4.a.d.1.2', 'source_level': 117, 'target_conrey_index': 168, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 22518066923438249, 'target_is_minimal': False, 'target_label': '169.4.b.f.168.3', 'target_level': 169, 'twist_class_label': '13.4.a.b.1.1', 'twist_class_level': 13, 'twisting_char_label': '39.5', 'twisting_conrey_index': 5, 'weight': 4}
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id: 42877929
{'conductor': 39, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510798949220469, 'source_is_minimal': False, 'source_label': '117.4.a.d.1.2', 'source_level': 117, 'target_conrey_index': 168, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518066923438249, 'target_is_minimal': False, 'target_label': '169.4.b.f.168.2', 'target_level': 169, 'twist_class_label': '13.4.a.b.1.1', 'twist_class_level': 13, 'twisting_char_label': '39.8', 'twisting_conrey_index': 8, 'weight': 4}
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id: 42877930
{'conductor': 39, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510798949220469, 'source_is_minimal': False, 'source_label': '117.4.a.d.1.2', 'source_level': 117, 'target_conrey_index': 147, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 22518273081868457, 'target_is_minimal': False, 'target_label': '169.4.e.f.147.3', 'target_level': 169, 'twist_class_label': '13.4.a.b.1.1', 'twist_class_level': 13, 'twisting_char_label': '39.11', 'twisting_conrey_index': 11, 'weight': 4}
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id: 42877931
{'conductor': 39, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510798949220469, 'source_is_minimal': False, 'source_label': '117.4.a.d.1.2', 'source_level': 117, 'target_conrey_index': 146, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532534152396969, 'target_is_minimal': False, 'target_label': '169.4.c.j.146.1', 'target_level': 169, 'twist_class_label': '13.4.a.b.1.1', 'twist_class_level': 13, 'twisting_char_label': '39.17', 'twisting_conrey_index': 17, 'weight': 4}
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id: 42877932
{'conductor': 39, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510798949220469, 'source_is_minimal': False, 'source_label': '117.4.a.d.1.2', 'source_level': 117, 'target_conrey_index': 23, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518273081868457, 'target_is_minimal': False, 'target_label': '169.4.e.f.23.2', 'target_level': 169, 'twist_class_label': '13.4.a.b.1.1', 'twist_class_level': 13, 'twisting_char_label': '39.20', 'twisting_conrey_index': 20, 'weight': 4}
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id: 42877933
{'conductor': 39, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510798949220469, 'source_is_minimal': False, 'source_label': '117.4.a.d.1.2', 'source_level': 117, 'target_conrey_index': 22, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532534152396969, 'target_is_minimal': False, 'target_label': '169.4.c.j.22.1', 'target_level': 169, 'twist_class_label': '13.4.a.b.1.1', 'twist_class_level': 13, 'twisting_char_label': '39.23', 'twisting_conrey_index': 23, 'weight': 4}
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id: 42877934
{'conductor': 39, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510798949220469, 'source_is_minimal': False, 'source_label': '117.4.a.d.1.2', 'source_level': 117, 'target_conrey_index': 22, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27021735270285481, 'target_is_minimal': False, 'target_label': '169.4.c.g.22.2', 'target_level': 169, 'twist_class_label': '13.4.a.b.1.1', 'twist_class_level': 13, 'twisting_char_label': '39.29', 'twisting_conrey_index': 29, 'weight': 4}
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id: 42877935
{'conductor': 39, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510798949220469, 'source_is_minimal': False, 'source_label': '117.4.a.d.1.2', 'source_level': 117, 'target_conrey_index': 23, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 22518273081868457, 'target_is_minimal': False, 'target_label': '169.4.e.f.23.3', 'target_level': 169, 'twist_class_label': '13.4.a.b.1.1', 'twist_class_level': 13, 'twisting_char_label': '39.32', 'twisting_conrey_index': 32, 'weight': 4}
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id: 42877936
{'conductor': 39, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510798949220469, 'source_is_minimal': False, 'source_label': '117.4.a.d.1.2', 'source_level': 117, 'target_conrey_index': 146, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27021735270285481, 'target_is_minimal': False, 'target_label': '169.4.c.g.146.2', 'target_level': 169, 'twist_class_label': '13.4.a.b.1.1', 'twist_class_level': 13, 'twisting_char_label': '39.35', 'twisting_conrey_index': 35, 'weight': 4}
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id: 42877937
{'conductor': 39, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510798949220469, 'source_is_minimal': False, 'source_label': '117.4.a.d.1.2', 'source_level': 117, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27021597831332009, 'target_is_minimal': False, 'target_label': '169.4.a.g.1.2', 'target_level': 169, 'twist_class_label': '13.4.a.b.1.1', 'twist_class_level': 13, 'twisting_char_label': '39.38', 'twisting_conrey_index': 38, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 333125
{'charpoly_factorization': [[[-4, 1, 1], 1]], 'hecke_orbit_code': 13510798949220469, 'p': 2}
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id: 333126
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13510798949220469, 'p': 3}
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id: 333127
{'charpoly_factorization': [[[-2, -3, 1], 1]], 'hecke_orbit_code': 13510798949220469, 'p': 5}
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id: 333128
{'charpoly_factorization': [[[-494, 9, 1], 1]], 'hecke_orbit_code': 13510798949220469, 'p': 7}
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id: 333129
{'charpoly_factorization': [[[988, 80, 1], 1]], 'hecke_orbit_code': 13510798949220469, 'p': 11}
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id: 333130
{'charpoly_factorization': [[[13, 1], 2]], 'hecke_orbit_code': 13510798949220469, 'p': 13}
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id: 333131
{'charpoly_factorization': [[[-1138, 19, 1], 1]], 'hecke_orbit_code': 13510798949220469, 'p': 17}
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id: 333132
{'charpoly_factorization': [[[-2588, 84, 1], 1]], 'hecke_orbit_code': 13510798949220469, 'p': 19}
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id: 333133
{'charpoly_factorization': [[[8992, 196, 1], 1]], 'hecke_orbit_code': 13510798949220469, 'p': 23}
-
id: 333134
{'charpoly_factorization': [[[-38684, -44, 1], 1]], 'hecke_orbit_code': 13510798949220469, 'p': 29}
-
id: 333135
{'charpoly_factorization': [[[-3064, 86, 1], 1]], 'hecke_orbit_code': 13510798949220469, 'p': 31}
-
id: 333136
{'charpoly_factorization': [[[10814, -209, 1], 1]], 'hecke_orbit_code': 13510798949220469, 'p': 37}
-
id: 333137
{'charpoly_factorization': [[[11168, -230, 1], 1]], 'hecke_orbit_code': 13510798949220469, 'p': 41}
-
id: 333138
{'charpoly_factorization': [[[-66316, -287, 1], 1]], 'hecke_orbit_code': 13510798949220469, 'p': 43}
-
id: 333139
{'charpoly_factorization': [[[-14918, 435, 1], 1]], 'hecke_orbit_code': 13510798949220469, 'p': 47}
-
id: 333140
{'charpoly_factorization': [[[-344, -118, 1], 1]], 'hecke_orbit_code': 13510798949220469, 'p': 53}
-
id: 333141
{'charpoly_factorization': [[[-31492, -368, 1], 1]], 'hecke_orbit_code': 13510798949220469, 'p': 59}
-
id: 333142
{'charpoly_factorization': [[[126416, 1058, 1], 1]], 'hecke_orbit_code': 13510798949220469, 'p': 61}
-
id: 333143
{'charpoly_factorization': [[[-227596, -68, 1], 1]], 'hecke_orbit_code': 13510798949220469, 'p': 67}
-
id: 333144
{'charpoly_factorization': [[[-222494, -131, 1], 1]], 'hecke_orbit_code': 13510798949220469, 'p': 71}
-
id: 333145
{'charpoly_factorization': [[[-235316, -456, 1], 1]], 'hecke_orbit_code': 13510798949220469, 'p': 73}
-
id: 333146
{'charpoly_factorization': [[[247216, 1008, 1], 1]], 'hecke_orbit_code': 13510798949220469, 'p': 79}
-
id: 333147
{'charpoly_factorization': [[[817664, 1958, 1], 1]], 'hecke_orbit_code': 13510798949220469, 'p': 83}
-
id: 333148
{'charpoly_factorization': [[[-510212, -720, 1], 1]], 'hecke_orbit_code': 13510798949220469, 'p': 89}
-
id: 333149
{'charpoly_factorization': [[[-881476, 928, 1], 1]], 'hecke_orbit_code': 13510798949220469, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 4, 'label': '117.4.a.d', 'level': 117, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 34605259
{'hecke_orbit_code': 13510798949220469, 'n': 1, 'trace_an': 2}
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id: 34605260
{'hecke_orbit_code': 13510798949220469, 'n': 2, 'trace_an': -1}
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id: 34605261
{'hecke_orbit_code': 13510798949220469, 'n': 3, 'trace_an': 0}
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id: 34605262
{'hecke_orbit_code': 13510798949220469, 'n': 4, 'trace_an': -7}
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id: 34605263
{'hecke_orbit_code': 13510798949220469, 'n': 5, 'trace_an': 3}
-
id: 34605264
{'hecke_orbit_code': 13510798949220469, 'n': 6, 'trace_an': 0}
-
id: 34605265
{'hecke_orbit_code': 13510798949220469, 'n': 7, 'trace_an': -9}
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id: 34605266
{'hecke_orbit_code': 13510798949220469, 'n': 8, 'trace_an': 3}
-
id: 34605267
{'hecke_orbit_code': 13510798949220469, 'n': 9, 'trace_an': 0}
-
id: 34605268
{'hecke_orbit_code': 13510798949220469, 'n': 10, 'trace_an': 7}
-
id: 34605269
{'hecke_orbit_code': 13510798949220469, 'n': 11, 'trace_an': -80}
-
id: 34605270
{'hecke_orbit_code': 13510798949220469, 'n': 12, 'trace_an': 0}
-
id: 34605271
{'hecke_orbit_code': 13510798949220469, 'n': 13, 'trace_an': -26}
-
id: 34605272
{'hecke_orbit_code': 13510798949220469, 'n': 14, 'trace_an': -89}
-
id: 34605273
{'hecke_orbit_code': 13510798949220469, 'n': 15, 'trace_an': 0}
-
id: 34605274
{'hecke_orbit_code': 13510798949220469, 'n': 16, 'trace_an': -39}
-
id: 34605275
{'hecke_orbit_code': 13510798949220469, 'n': 17, 'trace_an': -19}
-
id: 34605276
{'hecke_orbit_code': 13510798949220469, 'n': 18, 'trace_an': 0}
-
id: 34605277
{'hecke_orbit_code': 13510798949220469, 'n': 19, 'trace_an': -84}
-
id: 34605278
{'hecke_orbit_code': 13510798949220469, 'n': 20, 'trace_an': -19}
-
id: 34605279
{'hecke_orbit_code': 13510798949220469, 'n': 21, 'trace_an': 0}
-
id: 34605280
{'hecke_orbit_code': 13510798949220469, 'n': 22, 'trace_an': 142}
-
id: 34605281
{'hecke_orbit_code': 13510798949220469, 'n': 23, 'trace_an': -196}
-
id: 34605282
{'hecke_orbit_code': 13510798949220469, 'n': 24, 'trace_an': 0}
-
id: 34605283
{'hecke_orbit_code': 13510798949220469, 'n': 25, 'trace_an': -237}
-
id: 34605284
{'hecke_orbit_code': 13510798949220469, 'n': 26, 'trace_an': 13}
-
id: 34605285
{'hecke_orbit_code': 13510798949220469, 'n': 27, 'trace_an': 0}
-
id: 34605286
{'hecke_orbit_code': 13510798949220469, 'n': 28, 'trace_an': 125}
-
id: 34605287
{'hecke_orbit_code': 13510798949220469, 'n': 29, 'trace_an': 44}
-
id: 34605288
{'hecke_orbit_code': 13510798949220469, 'n': 30, 'trace_an': 0}
-
id: 34605289
{'hecke_orbit_code': 13510798949220469, 'n': 31, 'trace_an': -86}
-
id: 34605290
{'hecke_orbit_code': 13510798949220469, 'n': 32, 'trace_an': 123}
-
id: 34605291
{'hecke_orbit_code': 13510798949220469, 'n': 33, 'trace_an': 0}
-
id: 34605292
{'hecke_orbit_code': 13510798949220469, 'n': 34, 'trace_an': -135}
-
id: 34605293
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