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mf_newforms • Show schema
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{'Nk2': 21168, 'analytic_conductor': 42.25683274966158, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 63, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 12, 'char_orbit_label': 'l', 'char_order': 3, 'char_parity': 1, 'char_values': [5292, 3, [2647, 785, 1081], [3, 1, 2]], 'cm_discs': [], 'conrey_index': 361, 'dim': 6, 'field_disc': -309123, 'field_disc_factorization': [[-1, 1], [3, 3], [107, 2]], 'field_poly': [3, -12, 19, -15, 10, -3, 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': [[5, [-9, -6, 3, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13511554829915308, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 27, 'hecke_ring_index_factorization': [[3, 3]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 63, 7, 1, 3, 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': '5292.2.l.d', 'level': 5292, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7], 'level_radical': 42, 'minimal_twist': '252.2.j.b', 'nf_label': '6.0.309123.1', 'prim_orbit_index': 7, 'qexp_display': 'q+(-1+\\beta _{1}+\\beta _{2})q^{5}+(2+\\beta _{1}+\\beta _{2}+\\cdots)q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '5292.2.l', 'trace_display': [0, 0, -6, 0], 'trace_hash': 2144282728543466961, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.693', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 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mf_hecke_cc • Show schema
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{'Nk2': 21168, 'analytic_conductor': 42.25683274966158, 'char_conductor': 63, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 12, 'char_orbit_label': 'l', 'char_order': 3, 'char_parity': 1, 'char_values': [5292, 3, [2647, 785, 1081], [3, 1, 2]], 'conrey_index': 361, 'cusp_dim': 1872, 'dim': 80, 'eis_dim': 288, 'eis_new_dim': 0, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 755947803820, 'hecke_orbit_dims': [2, 2, 2, 6, 6, 6, 6, 12, 14, 24], 'label': '5292.2.l', 'level': 5292, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7], 'level_radical': 42, 'mf_dim': 2160, 'mf_new_dim': 80, 'num_forms': 10, 'prim_orbit_index': 7, 'relative_dim': 40, 'sturm_bound': 2016, 'trace_bound': 5, 'trace_display': [0, 0, 8, 0], 'traces': [80, 0, 0, 0, 8, 0, 0, 0, 0, 0, 8, 0, 1, 0, 0, 0, -5, 0, -2, 0, 0, 0, -22, 0, 80, 0, 0, 0, 6, 0, -2, 0, 0, 0, 0, 0, 1, 0, 0, 0, -24, 0, -2, 0, 0, 0, -6, 0, 0, 0, 0, 0, -22, 0, 12, 0, 0, 0, -7, 0, 13, 0, 0, 0, 11, 0, 7, 0, 0, 0, -38, 0, -14, 0, 0, 0, 0, 0, 7, 0, 0, 0, -26, 0, 12, 0, 0, 0, -21, 0, 0, 0, 0, 0, -54, 0, 1, 0, 0, 0, 32, 0, -38, 0, 0, 0, -11, 0, 16, 0, 0, 0, 47, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 120, 0, 52, 0, 0, 0, 56, 0, 0, 0, 0, 0, 40, 0, -8, 0, 0, 0, 15, 0, 24, 0, 0, 0, -10, 0, 10, 0, 0, 0, -56, 0, 16, 0, 0, 0, 0, 0, -8, 0, 0, 0, -34, 0, -9, 0, 0, 0, -43, 0, 0, 0, 0, 0, 24, 0, 16, 0, 0, 0, -32, 0, -9, 0, 0, 0, 92, 0, 22, 0, 0, 0, -118, 0, 25, 0, 0, 0, 0, 0, 21, 0, 0, 0, -94, 0, 19, 0, 0, 0, -38, 0, 0, 0, 0, 0, -60, 0, -11, 0, 0, 0, -12, 0, 46, 0, 0, 0, 22, 0, 30, 0, 0, 0, 54, 0, 22, 0, 0, 0, 0, 0, 74, 0, 0, 0, 144, 0, -72, 0, 0, 0, 120, 0, 0, 0, 0, 0, 220, 0, 3, 0, 0, 0, -64, 0, 7, 0, 0, 0, -190, 0, 22, 0, 0, 0, -26, 0, -38, 0, 0, 0, 0, 0, -13, 0, 0, 0, -111, 0, -39, 0, 0, 0, -75, 0, 0, 0, 0, 0, -63, 0, -32, 0, 0, 0, 32, 0, -14, 0, 0, 0, -35, 0, -21, 0, 0, 0, 16, 0, -8, 0, 0, 0, 0, 0, 4, 0, 0, 0, -79, 0, 7, 0, 0, 0, -78, 0, 0, 0, 0, 0, -120, 0, -17, 0, 0, 0, 120, 0, -36, 0, 0, 0, 63, 0, -24, 0, 0, 0, 96, 0, 22, 0, 0, 0, 0, 0, -86, 0, 0, 0, 222, 0, -14, 0, 0, 0, 118, 0, 0, 0, 0, 0, 326, 0, -12, 0, 0, 0, -6, 0, -71, 0, 0, 0, 66, 0, -154, 0, 0, 0, 106, 0, -17, 0, 0, 0, 0, 0, -30, 0, 0, 0, -105, 0, 4, 0, 0, 0, -79, 0, 0, 0, 0, 0, -82, 0, -44, 0, 0, 0, -31, 0, 58, 0, 0, 0, 95, 0, 42, 0, 0, 0, 126, 0, -39, 0, 0, 0, 0, 0, 46, 0, 0, 0, -130, 0, 70, 0, 0, 0, -94, 0, 0, 0, 0, 0, -12, 0, 1, 0, 0, 0, -86, 0, -46, 0, 0, 0, 74, 0, -14, 0, 0, 0, 48, 0, -84, 0, 0, 0, 0, 0, -92, 0, 0, 0, 156, 0, 162, 0, 0, 0, 126, 0, 0, 0, 0, 0, 238, 0, 9, 0, 0, 0, -48, 0, 55, 0, 0, 0, -240, 0, 62, 0, 0, 0, 135, 0, 87, 0, 0, 0, 0, 0, 55, 0, 0, 0, -145, 0, 91, 0, 0, 0, -11, 0, 0, 0, 0, 0, -54, 0, 50, 0, 0, 0, -23, 0, -69, 0, 0, 0, 133, 0, -5, 0, 0, 0, -90, 0, 61, 0, 0, 0, 0, 0, 3, 0, 0, 0, -47, 0, 80, 0, 0, 0, -60, 0, 0, 0, 0, 0, -151, 0, 85, 0, 0, 0, 142, 0, 244, 0, 0, 0, -40, 0, 43, 0, 0, 0, 45, 0, -2, 0, 0, 0, 0, 0, 80, 0, 0, 0, 362, 0, -110, 0, 0, 0, 216, 0, 0, 0, 0, 0, 226, 0, 19, 0, 0, 0, 87, 0, 3, 0, 0, 0, 46, 0, 174, 0, 0, 0, 29, 0, -74, 0, 0, 0, 0, 0, 33, 0, 0, 0, -63, 0, 4, 0, 0, 0, -78, 0, 0, 0, 0, 0, -235, 0, -30, 0, 0, 0, -114, 0, -62, 0, 0, 0, -35, 0, -57, 0, 0, 0, -250, 0, 17, 0, 0, 0, 0, 0, -113, 0, 0, 0, -159, 0, -159, 0, 0, 0, -18, 0, 0, 0, 0, 0, 29, 0, -2, 0, 0, 0, -16, 0, -56, 0, 0, 0, 64, 0, -71, 0, 0, 0, -188, 0, 96, 0, 0, 0, 0, 0, 130, 0, 0, 0, 164, 0, 28, 0, 0, 0, 214, 0, 0, 0, 0, 0, -244, 0, 16, 0, 0, 0, -94, 0, -113, 0, 0, 0, -488, 0, 48, 0, 0, 0, 138, 0, 61, 0, 0, 0, 0, 0, -28, 0, 0, 0, -114, 0, -72, 0, 0, 0, -128, 0, 0, 0, 0, 0, 26, 0, 52, 0, 0, 0, 121, 0, 134, 0, 0, 0, -131, 0, 13, 0, 0, 0, -48, 0, -50, 0, 0, 0, 0, 0, 21, 0, 0, 0, -65, 0, -64, 0, 0, 0, -95, 0, 0, 0, 0, 0, -130, 0, -23, 0, 0, 0, 126, 0, -278, 0, 0, 0, 251, 0, 6, 0, 0, 0, -18, 0, -190, 0, 0, 0, 0, 0, -146, 0, 0, 0, 216, 0, -104, 0, 0, 0, -54, 0, 0, 0, 0, 0, 54, 0, 18, 0, 0, 0, -3, 0, 108, 0, 0, 0, 538, 0, -272, 0, 0, 0, -68, 0, 30, 0, 0, 0, 0, 0, -44, 0, 0, 0, -63, 0, 139, 0, 0, 0, -96, 0, 0, 0, 0, 0, -412, 0, 34, 0, 0, 0, -145, 0, -72, 0, 0, 0, 226, 0, -76, 0, 0, 0, -326, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, -185, 0, 85, 0, 0, 0, -81, 0, 0, 0, 0, 0, -170, 0, -24, 0, 0, 0, -144, 0, 276, 0, 0, 0, -149, 0, 79, 0, 0, 0, 40, 0, 166, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 43469166
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 3313, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511554829915308, 'source_is_minimal': False, 'source_label': '5292.2.l.d.3313.1', 'source_level': 5292, 'target_conrey_index': 3313, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511554829915308, 'target_is_minimal': False, 'target_label': '5292.2.l.d.3313.1', 'target_level': 5292, 'twist_class_label': '252.2.j.b.85.1', 'twist_class_level': 252, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 43469167
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 3313, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511554829915308, 'source_is_minimal': False, 'source_label': '5292.2.l.d.3313.1', 'source_level': 5292, 'target_conrey_index': 961, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27022353712023268, 'target_is_minimal': False, 'target_label': '1764.2.l.g.961.2', 'target_level': 1764, 'twist_class_label': '252.2.j.b.85.1', 'twist_class_level': 252, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 43469168
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 3313, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511554829915308, 'source_is_minimal': False, 'source_label': '5292.2.l.d.3313.1', 'source_level': 5292, 'target_conrey_index': 3529, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 18015017018332332, 'target_is_minimal': False, 'target_label': '5292.2.j.e.3529.3', 'target_level': 5292, 'twist_class_label': '252.2.j.b.85.1', 'twist_class_level': 252, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 43469169
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 3313, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511554829915308, 'source_is_minimal': False, 'source_label': '5292.2.l.d.3313.1', 'source_level': 5292, 'target_conrey_index': 2125, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511348671485100, 'target_is_minimal': False, 'target_label': '5292.2.i.d.2125.1', 'target_level': 5292, 'twist_class_label': '252.2.j.b.85.1', 'twist_class_level': 252, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 43469170
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 3313, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511554829915308, 'source_is_minimal': False, 'source_label': '5292.2.l.d.3313.1', 'source_level': 5292, 'target_conrey_index': 2125, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 27022147553596588, 'target_is_minimal': False, 'target_label': '5292.2.i.g.2125.3', 'target_level': 5292, 'twist_class_label': '252.2.j.b.85.1', 'twist_class_level': 252, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 43469171
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 3313, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511554829915308, 'source_is_minimal': False, 'source_label': '5292.2.l.d.3313.1', 'source_level': 5292, 'target_conrey_index': 505, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 618508845812, 'target_is_minimal': False, 'target_label': '756.2.j.a.505.1', 'target_level': 756, 'twist_class_label': '252.2.j.b.85.1', 'twist_class_level': 252, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 43469172
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 3313, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511554829915308, 'source_is_minimal': False, 'source_label': '5292.2.l.d.3313.1', 'source_level': 5292, 'target_conrey_index': 3313, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 27022353712026796, 'target_is_minimal': False, 'target_label': '5292.2.l.g.3313.3', 'target_level': 5292, 'twist_class_label': '252.2.j.b.85.1', 'twist_class_level': 252, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 43469173
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 3313, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511554829915308, 'source_is_minimal': False, 'source_label': '5292.2.l.d.3313.1', 'source_level': 5292, 'target_conrey_index': 1549, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 27022147553596588, 'target_is_minimal': False, 'target_label': '5292.2.i.g.1549.3', 'target_level': 5292, 'twist_class_label': '252.2.j.b.85.1', 'twist_class_level': 252, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 43469174
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 3313, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511554829915308, 'source_is_minimal': False, 'source_label': '5292.2.l.d.3313.1', 'source_level': 5292, 'target_conrey_index': 373, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014948298852068, 'target_is_minimal': False, 'target_label': '1764.2.i.e.373.1', 'target_level': 1764, 'twist_class_label': '252.2.j.b.85.1', 'twist_class_level': 252, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 43469175
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 3313, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511554829915308, 'source_is_minimal': False, 'source_label': '5292.2.l.d.3313.1', 'source_level': 5292, 'target_conrey_index': 1177, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 13511417390958308, 'target_is_minimal': False, 'target_label': '1764.2.j.d.1177.3', 'target_level': 1764, 'twist_class_label': '252.2.j.b.85.1', 'twist_class_level': 252, 'twisting_char_label': '21.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 43469176
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 3313, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511554829915308, 'source_is_minimal': False, 'source_label': '5292.2.l.d.3313.1', 'source_level': 5292, 'target_conrey_index': 169, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504218136215804, 'target_is_minimal': True, 'target_label': '252.2.j.b.169.1', 'target_level': 252, 'twist_class_label': '252.2.j.b.85.1', 'twist_class_level': 252, 'twisting_char_label': '21.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 43469177
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 3313, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511554829915308, 'source_is_minimal': False, 'source_label': '5292.2.l.d.3313.1', 'source_level': 5292, 'target_conrey_index': 1537, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014948298852068, 'target_is_minimal': False, 'target_label': '1764.2.i.e.1537.1', 'target_level': 1764, 'twist_class_label': '252.2.j.b.85.1', 'twist_class_level': 252, 'twisting_char_label': '21.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 43469178
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 3313, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511554829915308, 'source_is_minimal': False, 'source_label': '5292.2.l.d.3313.1', 'source_level': 5292, 'target_conrey_index': 1537, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 22518547926222564, 'target_is_minimal': False, 'target_label': '1764.2.i.f.1537.3', 'target_level': 1764, 'twist_class_label': '252.2.j.b.85.1', 'twist_class_level': 252, 'twisting_char_label': '21.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 43469179
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 3313, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511554829915308, 'source_is_minimal': False, 'source_label': '5292.2.l.d.3313.1', 'source_level': 5292, 'target_conrey_index': 961, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511554829911780, 'target_is_minimal': False, 'target_label': '1764.2.l.d.961.2', 'target_level': 1764, 'twist_class_label': '252.2.j.b.85.1', 'twist_class_level': 252, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 43469180
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 3313, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511554829915308, 'source_is_minimal': False, 'source_label': '5292.2.l.d.3313.1', 'source_level': 5292, 'target_conrey_index': 2017, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36029965283625936, 'target_is_minimal': False, 'target_label': '3024.2.r.i.2017.1', 'target_level': 3024, 'twist_class_label': '252.2.j.b.85.1', 'twist_class_level': 252, 'twisting_char_label': '28.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 43469181
{'conductor': 63, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 3313, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511554829915308, 'source_is_minimal': False, 'source_label': '5292.2.l.d.3313.1', 'source_level': 5292, 'target_conrey_index': 361, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511554829915308, 'target_is_minimal': False, 'target_label': '5292.2.l.d.361.1', 'target_level': 5292, 'twist_class_label': '252.2.j.b.85.1', 'twist_class_level': 252, 'twisting_char_label': '63.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 43469182
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 3313, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511554829915308, 'source_is_minimal': False, 'source_label': '5292.2.l.d.3313.1', 'source_level': 5292, 'target_conrey_index': 85, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504218136215804, 'target_is_minimal': True, 'target_label': '252.2.j.b.85.1', 'target_level': 252, 'twist_class_label': '252.2.j.b.85.1', 'twist_class_level': 252, 'twisting_char_label': '63.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 43469183
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 3313, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511554829915308, 'source_is_minimal': False, 'source_label': '5292.2.l.d.3313.1', 'source_level': 5292, 'target_conrey_index': 1549, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511348671485100, 'target_is_minimal': False, 'target_label': '5292.2.i.d.1549.1', 'target_level': 5292, 'twist_class_label': '252.2.j.b.85.1', 'twist_class_level': 252, 'twisting_char_label': '63.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 43469184
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 3313, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511554829915308, 'source_is_minimal': False, 'source_label': '5292.2.l.d.3313.1', 'source_level': 5292, 'target_conrey_index': 589, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 13511417390958308, 'target_is_minimal': False, 'target_label': '1764.2.j.d.589.3', 'target_level': 1764, 'twist_class_label': '252.2.j.b.85.1', 'twist_class_level': 252, 'twisting_char_label': '63.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 43469185
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 3313, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511554829915308, 'source_is_minimal': False, 'source_label': '5292.2.l.d.3313.1', 'source_level': 5292, 'target_conrey_index': 361, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 27022353712026796, 'target_is_minimal': False, 'target_label': '5292.2.l.g.361.3', 'target_level': 5292, 'twist_class_label': '252.2.j.b.85.1', 'twist_class_level': 252, 'twisting_char_label': '63.31', 'twisting_conrey_index': 31, 'weight': 2}
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id: 43469186
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 3313, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511554829915308, 'source_is_minimal': False, 'source_label': '5292.2.l.d.3313.1', 'source_level': 5292, 'target_conrey_index': 949, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27022353712023268, 'target_is_minimal': False, 'target_label': '1764.2.l.g.949.2', 'target_level': 1764, 'twist_class_label': '252.2.j.b.85.1', 'twist_class_level': 252, 'twisting_char_label': '63.32', 'twisting_conrey_index': 32, 'weight': 2}
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id: 43469187
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 3313, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511554829915308, 'source_is_minimal': False, 'source_label': '5292.2.l.d.3313.1', 'source_level': 5292, 'target_conrey_index': 253, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 618508845812, 'target_is_minimal': False, 'target_label': '756.2.j.a.253.1', 'target_level': 756, 'twist_class_label': '252.2.j.b.85.1', 'twist_class_level': 252, 'twisting_char_label': '63.40', 'twisting_conrey_index': 40, 'weight': 2}
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id: 43469188
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 3313, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511554829915308, 'source_is_minimal': False, 'source_label': '5292.2.l.d.3313.1', 'source_level': 5292, 'target_conrey_index': 373, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 22518547926222564, 'target_is_minimal': False, 'target_label': '1764.2.i.f.373.3', 'target_level': 1764, 'twist_class_label': '252.2.j.b.85.1', 'twist_class_level': 252, 'twisting_char_label': '63.41', 'twisting_conrey_index': 41, 'weight': 2}
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id: 43469189
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 3313, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511554829915308, 'source_is_minimal': False, 'source_label': '5292.2.l.d.3313.1', 'source_level': 5292, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021597797779676, 'target_is_minimal': False, 'target_label': '2268.2.a.g.1.1', 'target_level': 2268, 'twist_class_label': '252.2.j.b.85.1', 'twist_class_level': 252, 'twisting_char_label': '63.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 43469190
{'conductor': 63, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 3313, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511554829915308, 'source_is_minimal': False, 'source_label': '5292.2.l.d.3313.1', 'source_level': 5292, 'target_conrey_index': 1765, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 18015017018332332, 'target_is_minimal': False, 'target_label': '5292.2.j.e.1765.3', 'target_level': 5292, 'twist_class_label': '252.2.j.b.85.1', 'twist_class_level': 252, 'twisting_char_label': '63.58', 'twisting_conrey_index': 58, 'weight': 2}
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id: 43469191
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 3313, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511554829915308, 'source_is_minimal': False, 'source_label': '5292.2.l.d.3313.1', 'source_level': 5292, 'target_conrey_index': 949, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511554829911780, 'target_is_minimal': False, 'target_label': '1764.2.l.d.949.2', 'target_level': 1764, 'twist_class_label': '252.2.j.b.85.1', 'twist_class_level': 252, 'twisting_char_label': '63.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 43469192
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 3313, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511554829915308, 'source_is_minimal': False, 'source_label': '5292.2.l.d.3313.1', 'source_level': 5292, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 40532396679891164, 'target_is_minimal': False, 'target_label': '2268.2.a.j.1.3', 'target_level': 2268, 'twist_class_label': '252.2.j.b.85.1', 'twist_class_level': 252, 'twisting_char_label': '63.61', 'twisting_conrey_index': 61, 'weight': 2}
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id: 43469193
{'conductor': 84, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 3313, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511554829915308, 'source_is_minimal': False, 'source_label': '5292.2.l.d.3313.1', 'source_level': 5292, 'target_conrey_index': 673, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 27022766028882928, 'target_is_minimal': False, 'target_label': '1008.2.r.g.673.3', 'target_level': 1008, 'twist_class_label': '252.2.j.b.85.1', 'twist_class_level': 252, 'twisting_char_label': '84.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 43469194
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 3313, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511554829915308, 'source_is_minimal': False, 'source_label': '5292.2.l.d.3313.1', 'source_level': 5292, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 202661983265235824, 'target_is_minimal': False, 'target_label': '9072.2.a.bt.1.1', 'target_level': 9072, 'twist_class_label': '252.2.j.b.85.1', 'twist_class_level': 252, 'twisting_char_label': '252.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 43469195
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 3313, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511554829915308, 'source_is_minimal': False, 'source_label': '5292.2.l.d.3313.1', 'source_level': 5292, 'target_conrey_index': 1009, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36029965283625936, 'target_is_minimal': False, 'target_label': '3024.2.r.i.1009.1', 'target_level': 3024, 'twist_class_label': '252.2.j.b.85.1', 'twist_class_level': 252, 'twisting_char_label': '252.103', 'twisting_conrey_index': 103, 'weight': 2}
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id: 43469196
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 3313, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511554829915308, 'source_is_minimal': False, 'source_label': '5292.2.l.d.3313.1', 'source_level': 5292, 'target_conrey_index': 337, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 27022766028882928, 'target_is_minimal': False, 'target_label': '1008.2.r.g.337.3', 'target_level': 1008, 'twist_class_label': '252.2.j.b.85.1', 'twist_class_level': 252, 'twisting_char_label': '252.131', 'twisting_conrey_index': 131, 'weight': 2}
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id: 43469197
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 3313, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511554829915308, 'source_is_minimal': False, 'source_label': '5292.2.l.d.3313.1', 'source_level': 5292, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 229683581029458800, 'target_is_minimal': False, 'target_label': '9072.2.a.bz.1.3', 'target_level': 9072, 'twist_class_label': '252.2.j.b.85.1', 'twist_class_level': 252, 'twisting_char_label': '252.187', 'twisting_conrey_index': 187, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3854550
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 13511554829915308, 'p': 2}
-
id: 3854551
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 13511554829915308, 'p': 3}
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id: 3854552
{'charpoly_factorization': [[[-9, -6, 3, 1], 2]], 'hecke_orbit_code': 13511554829915308, 'p': 5}
-
id: 3854553
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 13511554829915308, 'p': 7}
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id: 3854554
{'charpoly_factorization': [[[9, 3, -6, 1], 2]], 'hecke_orbit_code': 13511554829915308, 'p': 11}
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id: 3854555
{'charpoly_factorization': [[[1, 1, 1], 3]], 'hecke_orbit_code': 13511554829915308, 'p': 13}
-
id: 3854556
{'charpoly_factorization': [[[81, 297, 1089, 18, 33, 0, 1], 1]], 'hecke_orbit_code': 13511554829915308, 'p': 17}
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id: 3854557
{'charpoly_factorization': [[[2401, -1764, 1443, 10, 45, -3, 1], 1]], 'hecke_orbit_code': 13511554829915308, 'p': 19}
-
id: 3854558
{'charpoly_factorization': [[[99, -15, -6, 1], 2]], 'hecke_orbit_code': 13511554829915308, 'p': 23}
-
id: 3854559
{'charpoly_factorization': [[[3969, -3024, 3249, 846, 177, 15, 1], 1]], 'hecke_orbit_code': 13511554829915308, 'p': 29}
-
id: 3854560
{'charpoly_factorization': [[[2809, 4134, 6243, -128, 87, 3, 1], 1]], 'hecke_orbit_code': 13511554829915308, 'p': 31}
-
id: 3854561
{'charpoly_factorization': [[[11449, -8346, 6405, 20, 87, -3, 1], 1]], 'hecke_orbit_code': 13511554829915308, 'p': 37}
-
id: 3854562
{'charpoly_factorization': [[[81, 27, 63, -36, 33, -6, 1], 1]], 'hecke_orbit_code': 13511554829915308, 'p': 41}
-
id: 3854563
{'charpoly_factorization': [[[214369, 50004, 13053, 602, 117, 3, 1], 1]], 'hecke_orbit_code': 13511554829915308, 'p': 43}
-
id: 3854564
{'charpoly_factorization': [[[6561, 2916, 2511, -702, 189, -15, 1], 1]], 'hecke_orbit_code': 13511554829915308, 'p': 47}
-
id: 3854565
{'charpoly_factorization': [[[149769, -15093, 8487, 1476, 285, 18, 1], 1]], 'hecke_orbit_code': 13511554829915308, 'p': 53}
-
id: 3854566
{'charpoly_factorization': [[[6561, 4374, 2673, 324, 63, -3, 1], 1]], 'hecke_orbit_code': 13511554829915308, 'p': 59}
-
id: 3854567
{'charpoly_factorization': [[[961, -1395, 1839, -332, 81, 6, 1], 1]], 'hecke_orbit_code': 13511554829915308, 'p': 61}
-
id: 3854568
{'charpoly_factorization': [[[3481, -1593, 1083, 44, 63, -6, 1], 1]], 'hecke_orbit_code': 13511554829915308, 'p': 67}
-
id: 3854569
{'charpoly_factorization': [[[297, 18, -15, 1], 2]], 'hecke_orbit_code': 13511554829915308, 'p': 71}
-
id: 3854570
{'charpoly_factorization': [[[6241, -948, 855, -50, 93, -9, 1], 1]], 'hecke_orbit_code': 13511554829915308, 'p': 73}
-
id: 3854571
{'charpoly_factorization': [[[1857769, 318942, 58845, 2024, 243, 3, 1], 1]], 'hecke_orbit_code': 13511554829915308, 'p': 79}
-
id: 3854572
{'charpoly_factorization': [[[729, -2025, 5139, -1296, 249, -18, 1], 1]], 'hecke_orbit_code': 13511554829915308, 'p': 83}
-
id: 3854573
{'charpoly_factorization': [[[1185921, 212355, 44559, 1008, 231, 6, 1], 1]], 'hecke_orbit_code': 13511554829915308, 'p': 89}
-
id: 3854574
{'charpoly_factorization': [[[529, -414, 669, 316, 207, 15, 1], 1]], 'hecke_orbit_code': 13511554829915308, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 12, 'hecke_orbit': 4, 'label': '5292.2.l.d', 'level': 5292, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 37198675
{'hecke_orbit_code': 13511554829915308, 'n': 1, 'trace_an': 6}
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id: 37198676
{'hecke_orbit_code': 13511554829915308, 'n': 2, 'trace_an': 0}
-
id: 37198677
{'hecke_orbit_code': 13511554829915308, 'n': 3, 'trace_an': 0}
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id: 37198678
{'hecke_orbit_code': 13511554829915308, 'n': 4, 'trace_an': 0}
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id: 37198679
{'hecke_orbit_code': 13511554829915308, 'n': 5, 'trace_an': -6}
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id: 37198680
{'hecke_orbit_code': 13511554829915308, 'n': 6, 'trace_an': 0}
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id: 37198681
{'hecke_orbit_code': 13511554829915308, 'n': 7, 'trace_an': 0}
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id: 37198682
{'hecke_orbit_code': 13511554829915308, 'n': 8, 'trace_an': 0}
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id: 37198683
{'hecke_orbit_code': 13511554829915308, 'n': 9, 'trace_an': 0}
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id: 37198684
{'hecke_orbit_code': 13511554829915308, 'n': 10, 'trace_an': 0}
-
id: 37198685
{'hecke_orbit_code': 13511554829915308, 'n': 11, 'trace_an': 12}
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id: 37198686
{'hecke_orbit_code': 13511554829915308, 'n': 12, 'trace_an': 0}
-
id: 37198687
{'hecke_orbit_code': 13511554829915308, 'n': 13, 'trace_an': -3}
-
id: 37198688
{'hecke_orbit_code': 13511554829915308, 'n': 14, 'trace_an': 0}
-
id: 37198689
{'hecke_orbit_code': 13511554829915308, 'n': 15, 'trace_an': 0}
-
id: 37198690
{'hecke_orbit_code': 13511554829915308, 'n': 16, 'trace_an': 0}
-
id: 37198691
{'hecke_orbit_code': 13511554829915308, 'n': 17, 'trace_an': 0}
-
id: 37198692
{'hecke_orbit_code': 13511554829915308, 'n': 18, 'trace_an': 0}
-
id: 37198693
{'hecke_orbit_code': 13511554829915308, 'n': 19, 'trace_an': 3}
-
id: 37198694
{'hecke_orbit_code': 13511554829915308, 'n': 20, 'trace_an': 0}
-
id: 37198695
{'hecke_orbit_code': 13511554829915308, 'n': 21, 'trace_an': 0}
-
id: 37198696
{'hecke_orbit_code': 13511554829915308, 'n': 22, 'trace_an': 0}
-
id: 37198697
{'hecke_orbit_code': 13511554829915308, 'n': 23, 'trace_an': 12}
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