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{'Nk2': 7168, 'analytic_conductor': 14.309192042213445, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [7, 1]], 'atkin_lehner_string': '-+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [1792, 1, [1023, 1541, 1025], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 8, 'field_disc_factorization': [[2, 3]], 'field_poly': [-2, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 8, 'fricke_eigenval': -1, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [0, 1]], [5, [-8, 0, 1]], [23, [-8, 1]]], 'hecke_orbit': 13, 'hecke_orbit_code': 54043195562002176, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 8, 2, 1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1792.2.a.m', 'level': 1792, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7], 'level_radical': 14, 'minimal_twist': '896.2.b.b', 'nf_label': '2.2.8.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta q^{5}-q^{7}-3q^{9}+\\beta q^{11}-\\beta q^{13}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1792.2.a', 'trace_display': [0, 0, 0, -2], 'trace_hash': 1020136604042190074, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.039', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.938', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.300', 'prec': 17}, {'__RealLiteral__': 0, 'data': '15.089', 'prec': 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mf_hecke_cc • Show schema
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'embedding_root_real': -1.4142135623730951, 'hecke_orbit': 13, 'hecke_orbit_code': 54043195562002176, 'label': '1792.2.a.m.1.1', 'level': 1792, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [7, -1]], 10, 6], [[[2, 1], [7, -1]], 14, 6], [[[2, 1], [7, 1]], 12, 6], [[[2, -1], [7, 1]], 12, 6]], 'ALdims': [12, 14, 12, 10], 'Nk2': 7168, 'analytic_conductor': 14.309192042213445, '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': [1792, 1, [1023, 1541, 1025], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 233, 'dim': 48, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 23], 'hecke_orbit_code': 33556224, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4], 'label': '1792.2.a', 'level': 1792, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7], 'level_radical': 14, 'mf_dim': 280, 'mf_new_dim': 48, 'num_forms': 24, 'plus_dim': 22, 'prim_orbit_index': 1, 'relative_dim': 48, 'sturm_bound': 512, 'trace_bound': 9, 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mf_twists_cc • Show schema
Hide schema
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id: 47468315
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 54043195562002176, 'source_is_minimal': False, 'source_label': '1792.2.a.m.1.1', 'source_level': 1792, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043195562002176, 'target_is_minimal': False, 'target_label': '1792.2.a.m.1.1', 'target_level': 1792, 'twist_class_label': '896.2.b.b.449.1', 'twist_class_level': 896, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47468316
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 54043195562002176, 'source_is_minimal': False, 'source_label': '1792.2.a.m.1.1', 'source_level': 1792, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 63050394816743168, 'target_is_minimal': False, 'target_label': '1792.2.a.o.1.1', 'target_level': 1792, 'twist_class_label': '896.2.b.b.449.1', 'twist_class_level': 896, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47468317
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 54043195562002176, 'source_is_minimal': False, 'source_label': '1792.2.a.m.1.1', 'source_level': 1792, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 63050394816743168, 'target_is_minimal': False, 'target_label': '1792.2.a.o.1.2', 'target_level': 1792, 'twist_class_label': '896.2.b.b.449.1', 'twist_class_level': 896, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47468318
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 54043195562002176, 'source_is_minimal': False, 'source_label': '1792.2.a.m.1.1', 'source_level': 1792, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 54043195562002176, 'target_is_minimal': False, 'target_label': '1792.2.a.m.1.2', 'target_level': 1792, 'twist_class_label': '896.2.b.b.449.1', 'twist_class_level': 896, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 47468319
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 54043195562002176, 'source_is_minimal': False, 'source_label': '1792.2.a.m.1.1', 'source_level': 1792, 'target_conrey_index': 449, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503668380402560, 'target_is_minimal': True, 'target_label': '896.2.b.b.449.2', 'target_level': 896, 'twist_class_label': '896.2.b.b.449.1', 'twist_class_level': 896, 'twisting_char_label': '16.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47468320
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 54043195562002176, 'source_is_minimal': False, 'source_label': '1792.2.a.m.1.1', 'source_level': 1792, 'target_conrey_index': 449, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510867635143552, 'target_is_minimal': True, 'target_label': '896.2.b.d.449.1', 'target_level': 896, 'twist_class_label': '896.2.b.b.449.1', 'twist_class_level': 896, 'twisting_char_label': '16.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 47468321
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 54043195562002176, 'source_is_minimal': False, 'source_label': '1792.2.a.m.1.1', 'source_level': 1792, 'target_conrey_index': 449, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503668380402560, 'target_is_minimal': True, 'target_label': '896.2.b.b.449.1', 'target_level': 896, 'twist_class_label': '896.2.b.b.449.1', 'twist_class_level': 896, 'twisting_char_label': '16.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 47468322
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 54043195562002176, 'source_is_minimal': False, 'source_label': '1792.2.a.m.1.1', 'source_level': 1792, 'target_conrey_index': 449, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13510867635143552, 'target_is_minimal': True, 'target_label': '896.2.b.d.449.2', 'target_level': 896, 'twist_class_label': '896.2.b.b.449.1', 'twist_class_level': 896, 'twisting_char_label': '16.13', 'twisting_conrey_index': 13, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2209175
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 54043195562002176, 'p': 2}
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id: 2209176
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 54043195562002176, 'p': 3}
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id: 2209177
{'charpoly_factorization': [[[-8, 0, 1], 1]], 'hecke_orbit_code': 54043195562002176, 'p': 5}
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id: 2209178
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 54043195562002176, 'p': 7}
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id: 2209179
{'charpoly_factorization': [[[-8, 0, 1], 1]], 'hecke_orbit_code': 54043195562002176, 'p': 11}
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id: 2209180
{'charpoly_factorization': [[[-8, 0, 1], 1]], 'hecke_orbit_code': 54043195562002176, 'p': 13}
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id: 2209181
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 54043195562002176, 'p': 17}
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id: 2209182
{'charpoly_factorization': [[[-32, 0, 1], 1]], 'hecke_orbit_code': 54043195562002176, 'p': 19}
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id: 2209183
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 54043195562002176, 'p': 23}
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id: 2209184
{'charpoly_factorization': [[[-32, 0, 1], 1]], 'hecke_orbit_code': 54043195562002176, 'p': 29}
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id: 2209185
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 54043195562002176, 'p': 31}
-
id: 2209186
{'charpoly_factorization': [[[-32, 0, 1], 1]], 'hecke_orbit_code': 54043195562002176, 'p': 37}
-
id: 2209187
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 54043195562002176, 'p': 41}
-
id: 2209188
{'charpoly_factorization': [[[-8, 0, 1], 1]], 'hecke_orbit_code': 54043195562002176, 'p': 43}
-
id: 2209189
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 54043195562002176, 'p': 47}
-
id: 2209190
{'charpoly_factorization': [[[-128, 0, 1], 1]], 'hecke_orbit_code': 54043195562002176, 'p': 53}
-
id: 2209191
{'charpoly_factorization': [[[-128, 0, 1], 1]], 'hecke_orbit_code': 54043195562002176, 'p': 59}
-
id: 2209192
{'charpoly_factorization': [[[-8, 0, 1], 1]], 'hecke_orbit_code': 54043195562002176, 'p': 61}
-
id: 2209193
{'charpoly_factorization': [[[-72, 0, 1], 1]], 'hecke_orbit_code': 54043195562002176, 'p': 67}
-
id: 2209194
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 54043195562002176, 'p': 71}
-
id: 2209195
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 54043195562002176, 'p': 73}
-
id: 2209196
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 54043195562002176, 'p': 79}
-
id: 2209197
{'charpoly_factorization': [[[-32, 0, 1], 1]], 'hecke_orbit_code': 54043195562002176, 'p': 83}
-
id: 2209198
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 54043195562002176, 'p': 89}
-
id: 2209199
{'charpoly_factorization': [[[-14, 1], 2]], 'hecke_orbit_code': 54043195562002176, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 13, 'label': '1792.2.a.m', 'level': 1792, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 221304000
{'hecke_orbit_code': 54043195562002176, 'n': 1, 'trace_an': 2}
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id: 221304001
{'hecke_orbit_code': 54043195562002176, 'n': 2, 'trace_an': 0}
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id: 221304002
{'hecke_orbit_code': 54043195562002176, 'n': 3, 'trace_an': 0}
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id: 221304003
{'hecke_orbit_code': 54043195562002176, 'n': 4, 'trace_an': 0}
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id: 221304004
{'hecke_orbit_code': 54043195562002176, 'n': 5, 'trace_an': 0}
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id: 221304005
{'hecke_orbit_code': 54043195562002176, 'n': 6, 'trace_an': 0}
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id: 221304006
{'hecke_orbit_code': 54043195562002176, 'n': 7, 'trace_an': -2}
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id: 221304007
{'hecke_orbit_code': 54043195562002176, 'n': 8, 'trace_an': 0}
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