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mf_newforms • Show schema
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{'Nk2': 4536, 'analytic_conductor': 9.055035589213196, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 3, 'char_parity': 1, 'char_values': [1134, 3, [407, 325], [3, 1]], 'cm_discs': [], 'conrey_index': 163, 'conrey_indexes': [163, 487], '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, 18, 33, 12, 7, -1, 1]], [11, [9, -18, 33, -12, 7, 1, 1]], [17, [576, 288, 240, 0, 28, 4, 1]], [23, [9, 36, 123, 78, 37, 7, 1]]], 'hecke_orbit': 13, 'hecke_orbit_code': 54043607878861934, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 3, 'hecke_ring_index_factorization': [[3, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 3, 1, 3, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1134.2.g.m', 'level': 1134, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7], 'level_radical': 42, 'minimal_twist': '126.2.e.c', 'nf_label': '6.0.309123.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(1-\\beta _{4})q^{2}-\\beta _{4}q^{4}+\\beta _{2}q^{5}+(\\beta _{1}+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1134.2.g', 'trace_display': [3, 0, 1, 2], 'trace_hash': 1803170073131571232, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.907', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.547', 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0, -8, 18], 'weight': 2, 'weight_parity': 1}
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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
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{'Nk2': 4536, 'analytic_conductor': 9.055035589213196, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 3, 'char_parity': 1, 'char_values': [1134, 3, [407, 325], [3, 1]], 'conrey_index': 163, 'cusp_dim': 384, 'dim': 64, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11, 17, 23], 'hecke_orbit_code': 412350415982, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 6, 6, 6, 6, 8, 8], 'label': '1134.2.g', 'level': 1134, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7], 'level_radical': 42, 'mf_dim': 480, 'mf_new_dim': 64, 'num_forms': 16, 'prim_orbit_index': 3, 'relative_dim': 32, 'sturm_bound': 432, 'trace_bound': 7, 'trace_display': [0, 0, 0, -8], 'traces': [64, 0, 0, -32, 0, 0, -8, 0, 0, 0, 0, 0, 8, 0, 0, -32, 0, 0, 8, 0, 0, 0, 0, 0, -32, 0, 0, 4, 0, 0, -4, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -40, 0, 0, -12, 0, 0, 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mf_twists_cc • Show schema
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id: 47588815
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 487, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 54043607878861934, 'source_is_minimal': False, 'source_label': '1134.2.g.m.487.2', 'source_level': 1134, 'target_conrey_index': 487, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 54043607878861934, 'target_is_minimal': False, 'target_label': '1134.2.g.m.487.2', 'target_level': 1134, 'twist_class_label': '126.2.e.c.25.2', 'twist_class_level': 126, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47588816
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 487, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 54043607878861934, 'source_is_minimal': False, 'source_label': '1134.2.g.m.487.2', 'source_level': 1134, 'target_conrey_index': 487, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 49540008251491438, 'target_is_minimal': False, 'target_label': '1134.2.g.l.487.2', 'target_level': 1134, 'twist_class_label': '126.2.e.c.25.2', 'twist_class_level': 126, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47588817
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 487, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 54043607878861934, 'source_is_minimal': False, 'source_label': '1134.2.g.m.487.2', 'source_level': 1134, 'target_conrey_index': 163, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 54043607878861934, 'target_is_minimal': False, 'target_label': '1134.2.g.m.163.2', 'target_level': 1134, 'twist_class_label': '126.2.e.c.25.2', 'twist_class_level': 126, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47588818
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 487, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 54043607878861934, 'source_is_minimal': False, 'source_label': '1134.2.g.m.487.2', 'source_level': 1134, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 216172782147346178, 'target_is_minimal': False, 'target_label': '7938.2.a.bw.1.2', 'target_level': 7938, 'twist_class_label': '126.2.e.c.25.2', 'twist_class_level': 126, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47588819
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 487, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 54043607878861934, 'source_is_minimal': False, 'source_label': '1134.2.g.m.487.2', 'source_level': 1134, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 211669182519975682, 'target_is_minimal': False, 'target_label': '7938.2.a.bv.1.2', 'target_level': 7938, 'twist_class_label': '126.2.e.c.25.2', 'twist_class_level': 126, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 47588820
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 487, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 54043607878861934, 'source_is_minimal': False, 'source_label': '1134.2.g.m.487.2', 'source_level': 1134, 'target_conrey_index': 361, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007680324632954, 'target_is_minimal': False, 'target_label': '378.2.h.c.361.2', 'target_level': 378, 'twist_class_label': '126.2.e.c.25.2', 'twist_class_level': 126, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47588821
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 487, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 54043607878861934, 'source_is_minimal': False, 'source_label': '1134.2.g.m.487.2', 'source_level': 1134, 'target_conrey_index': 25, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007474166202494, 'target_is_minimal': True, 'target_label': '126.2.e.c.25.2', 'target_level': 126, 'twist_class_label': '126.2.e.c.25.2', 'twist_class_level': 126, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 47588822
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 487, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 54043607878861934, 'source_is_minimal': False, 'source_label': '1134.2.g.m.487.2', 'source_level': 1134, 'target_conrey_index': 235, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511073793573242, 'target_is_minimal': False, 'target_label': '378.2.e.d.235.2', 'target_level': 378, 'twist_class_label': '126.2.e.c.25.2', 'twist_class_level': 126, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 47588823
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 487, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 54043607878861934, 'source_is_minimal': False, 'source_label': '1134.2.g.m.487.2', 'source_level': 1134, 'target_conrey_index': 67, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511279952003198, 'target_is_minimal': True, 'target_label': '126.2.h.d.67.2', 'target_level': 126, 'twist_class_label': '126.2.e.c.25.2', 'twist_class_level': 126, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 47588824
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 487, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 54043607878861934, 'source_is_minimal': False, 'source_label': '1134.2.g.m.487.2', 'source_level': 1134, 'target_conrey_index': 163, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 49540008251491438, 'target_is_minimal': False, 'target_label': '1134.2.g.l.163.2', 'target_level': 1134, 'twist_class_label': '126.2.e.c.25.2', 'twist_class_level': 126, 'twisting_char_label': '21.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47588825
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 487, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 54043607878861934, 'source_is_minimal': False, 'source_label': '1134.2.g.m.487.2', 'source_level': 1134, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 234187180656828162, 'target_is_minimal': False, 'target_label': '7938.2.a.ca.1.2', 'target_level': 7938, 'twist_class_label': '126.2.e.c.25.2', 'twist_class_level': 126, 'twisting_char_label': '21.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 47588826
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 487, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 54043607878861934, 'source_is_minimal': False, 'source_label': '1134.2.g.m.487.2', 'source_level': 1134, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 229683581029457666, 'target_is_minimal': False, 'target_label': '7938.2.a.bz.1.2', 'target_level': 7938, 'twist_class_label': '126.2.e.c.25.2', 'twist_class_level': 126, 'twisting_char_label': '21.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 47588827
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 487, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 54043607878861934, 'source_is_minimal': False, 'source_label': '1134.2.g.m.487.2', 'source_level': 1134, 'target_conrey_index': 193, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31526503095206896, 'target_is_minimal': False, 'target_label': '1008.2.t.h.193.2', 'target_level': 1008, 'twist_class_label': '126.2.e.c.25.2', 'twist_class_level': 126, 'twisting_char_label': '36.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 47588828
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 487, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 54043607878861934, 'source_is_minimal': False, 'source_label': '1134.2.g.m.487.2', 'source_level': 1134, 'target_conrey_index': 1873, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31526503095208912, 'target_is_minimal': False, 'target_label': '3024.2.t.h.1873.2', 'target_level': 3024, 'twist_class_label': '126.2.e.c.25.2', 'twist_class_level': 126, 'twisting_char_label': '36.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 47588829
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 487, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 54043607878861934, 'source_is_minimal': False, 'source_label': '1134.2.g.m.487.2', 'source_level': 1134, 'target_conrey_index': 2881, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27022697309408208, 'target_is_minimal': False, 'target_label': '3024.2.q.g.2881.2', 'target_level': 3024, 'twist_class_label': '126.2.e.c.25.2', 'twist_class_level': 126, 'twisting_char_label': '36.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 47588830
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 487, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 54043607878861934, 'source_is_minimal': False, 'source_label': '1134.2.g.m.487.2', 'source_level': 1134, 'target_conrey_index': 529, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27022697309406192, 'target_is_minimal': False, 'target_label': '1008.2.q.g.529.2', 'target_level': 1008, 'twist_class_label': '126.2.e.c.25.2', 'twist_class_level': 126, 'twisting_char_label': '36.31', 'twisting_conrey_index': 31, 'weight': 2}
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id: 47588831
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 487, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 54043607878861934, 'source_is_minimal': False, 'source_label': '1134.2.g.m.487.2', 'source_level': 1134, 'target_conrey_index': 37, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511073793573242, 'target_is_minimal': False, 'target_label': '378.2.e.d.37.2', 'target_level': 378, 'twist_class_label': '126.2.e.c.25.2', 'twist_class_level': 126, 'twisting_char_label': '63.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47588832
{'conductor': 63, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 487, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 54043607878861934, 'source_is_minimal': False, 'source_label': '1134.2.g.m.487.2', 'source_level': 1134, 'target_conrey_index': 295, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 58547138786755442, 'target_is_minimal': False, 'target_label': '882.2.f.n.295.1', 'target_level': 882, 'twist_class_label': '126.2.e.c.25.2', 'twist_class_level': 126, 'twisting_char_label': '63.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 47588833
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 487, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 54043607878861934, 'source_is_minimal': False, 'source_label': '1134.2.g.m.487.2', 'source_level': 1134, 'target_conrey_index': 667, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 63050875853081174, 'target_is_minimal': False, 'target_label': '2646.2.h.o.667.2', 'target_level': 2646, 'twist_class_label': '126.2.e.c.25.2', 'twist_class_level': 126, 'twisting_char_label': '63.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 47588834
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 487, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 54043607878861934, 'source_is_minimal': False, 'source_label': '1134.2.g.m.487.2', 'source_level': 1134, 'target_conrey_index': 1765, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 49539939532016214, 'target_is_minimal': False, 'target_label': '2646.2.f.l.1765.2', 'target_level': 2646, 'twist_class_label': '126.2.e.c.25.2', 'twist_class_level': 126, 'twisting_char_label': '63.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 47588835
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 487, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 54043607878861934, 'source_is_minimal': False, 'source_label': '1134.2.g.m.487.2', 'source_level': 1134, 'target_conrey_index': 655, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 63050669694649202, 'target_is_minimal': False, 'target_label': '882.2.e.o.655.2', 'target_level': 882, 'twist_class_label': '126.2.e.c.25.2', 'twist_class_level': 126, 'twisting_char_label': '63.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 47588836
{'conductor': 63, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 487, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 54043607878861934, 'source_is_minimal': False, 'source_label': '1134.2.g.m.487.2', 'source_level': 1134, 'target_conrey_index': 121, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007474166202494, 'target_is_minimal': True, 'target_label': '126.2.e.c.121.2', 'target_level': 126, 'twist_class_label': '126.2.e.c.25.2', 'twist_class_level': 126, 'twisting_char_label': '63.16', 'twisting_conrey_index': 16, 'weight': 2}
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id: 47588837
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 487, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 54043607878861934, 'source_is_minimal': False, 'source_label': '1134.2.g.m.487.2', 'source_level': 1134, 'target_conrey_index': 361, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 63050875853081174, 'target_is_minimal': False, 'target_label': '2646.2.h.o.361.2', 'target_level': 2646, 'twist_class_label': '126.2.e.c.25.2', 'twist_class_level': 126, 'twisting_char_label': '63.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 47588838
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 487, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 54043607878861934, 'source_is_minimal': False, 'source_label': '1134.2.g.m.487.2', 'source_level': 1134, 'target_conrey_index': 289, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007680324632954, 'target_is_minimal': False, 'target_label': '378.2.h.c.289.2', 'target_level': 378, 'twist_class_label': '126.2.e.c.25.2', 'twist_class_level': 126, 'twisting_char_label': '63.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 47588839
{'conductor': 63, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 487, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 54043607878861934, 'source_is_minimal': False, 'source_label': '1134.2.g.m.487.2', 'source_level': 1134, 'target_conrey_index': 589, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 58547138786755442, 'target_is_minimal': False, 'target_label': '882.2.f.n.589.1', 'target_level': 882, 'twist_class_label': '126.2.e.c.25.2', 'twist_class_level': 126, 'twisting_char_label': '63.25', 'twisting_conrey_index': 25, 'weight': 2}
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id: 47588840
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 487, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 54043607878861934, 'source_is_minimal': False, 'source_label': '1134.2.g.m.487.2', 'source_level': 1134, 'target_conrey_index': 295, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 63050738414125938, 'target_is_minimal': False, 'target_label': '882.2.f.o.295.3', 'target_level': 882, 'twist_class_label': '126.2.e.c.25.2', 'twist_class_level': 126, 'twisting_char_label': '63.31', 'twisting_conrey_index': 31, 'weight': 2}
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id: 47588841
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 487, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 54043607878861934, 'source_is_minimal': False, 'source_label': '1134.2.g.m.487.2', 'source_level': 1134, 'target_conrey_index': 883, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 49539939532016214, 'target_is_minimal': False, 'target_label': '2646.2.f.l.883.2', 'target_level': 2646, 'twist_class_label': '126.2.e.c.25.2', 'twist_class_level': 126, 'twisting_char_label': '63.32', 'twisting_conrey_index': 32, 'weight': 2}
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id: 47588842
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 487, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 54043607878861934, 'source_is_minimal': False, 'source_label': '1134.2.g.m.487.2', 'source_level': 1134, 'target_conrey_index': 67, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 67554475480449906, 'target_is_minimal': False, 'target_label': '882.2.h.p.67.2', 'target_level': 882, 'twist_class_label': '126.2.e.c.25.2', 'twist_class_level': 126, 'twisting_char_label': '63.34', 'twisting_conrey_index': 34, 'weight': 2}
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id: 47588843
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 487, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 54043607878861934, 'source_is_minimal': False, 'source_label': '1134.2.g.m.487.2', 'source_level': 1134, 'target_conrey_index': 1765, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 54043539159386710, 'target_is_minimal': False, 'target_label': '2646.2.f.m.1765.2', 'target_level': 2646, 'twist_class_label': '126.2.e.c.25.2', 'twist_class_level': 126, 'twisting_char_label': '63.38', 'twisting_conrey_index': 38, 'weight': 2}
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id: 47588844
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 487, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 54043607878861934, 'source_is_minimal': False, 'source_label': '1134.2.g.m.487.2', 'source_level': 1134, 'target_conrey_index': 79, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 67554475480449906, 'target_is_minimal': False, 'target_label': '882.2.h.p.79.2', 'target_level': 882, 'twist_class_label': '126.2.e.c.25.2', 'twist_class_level': 126, 'twisting_char_label': '63.40', 'twisting_conrey_index': 40, 'weight': 2}
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id: 47588845
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 487, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 54043607878861934, 'source_is_minimal': False, 'source_label': '1134.2.g.m.487.2', 'source_level': 1134, 'target_conrey_index': 2125, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 67554269322021462, 'target_is_minimal': False, 'target_label': '2646.2.e.p.2125.2', 'target_level': 2646, 'twist_class_label': '126.2.e.c.25.2', 'twist_class_level': 126, 'twisting_char_label': '63.41', 'twisting_conrey_index': 41, 'weight': 2}
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id: 47588846
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 487, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 54043607878861934, 'source_is_minimal': False, 'source_label': '1134.2.g.m.487.2', 'source_level': 1134, 'target_conrey_index': 1549, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 67554269322021462, 'target_is_minimal': False, 'target_label': '2646.2.e.p.1549.2', 'target_level': 2646, 'twist_class_label': '126.2.e.c.25.2', 'twist_class_level': 126, 'twisting_char_label': '63.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 47588847
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 487, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 54043607878861934, 'source_is_minimal': False, 'source_label': '1134.2.g.m.487.2', 'source_level': 1134, 'target_conrey_index': 589, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 63050738414125938, 'target_is_minimal': False, 'target_label': '882.2.f.o.589.3', 'target_level': 882, 'twist_class_label': '126.2.e.c.25.2', 'twist_class_level': 126, 'twisting_char_label': '63.52', 'twisting_conrey_index': 52, 'weight': 2}
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id: 47588848
{'conductor': 63, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 487, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 54043607878861934, 'source_is_minimal': False, 'source_label': '1134.2.g.m.487.2', 'source_level': 1134, 'target_conrey_index': 79, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511279952003198, 'target_is_minimal': True, 'target_label': '126.2.h.d.79.2', 'target_level': 126, 'twist_class_label': '126.2.e.c.25.2', 'twist_class_level': 126, 'twisting_char_label': '63.58', 'twisting_conrey_index': 58, 'weight': 2}
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id: 47588849
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 487, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 54043607878861934, 'source_is_minimal': False, 'source_label': '1134.2.g.m.487.2', 'source_level': 1134, 'target_conrey_index': 883, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 54043539159386710, 'target_is_minimal': False, 'target_label': '2646.2.f.m.883.2', 'target_level': 2646, 'twist_class_label': '126.2.e.c.25.2', 'twist_class_level': 126, 'twisting_char_label': '63.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 47588850
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 487, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 54043607878861934, 'source_is_minimal': False, 'source_label': '1134.2.g.m.487.2', 'source_level': 1134, 'target_conrey_index': 373, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 63050669694649202, 'target_is_minimal': False, 'target_label': '882.2.e.o.373.2', 'target_level': 882, 'twist_class_label': '126.2.e.c.25.2', 'twist_class_level': 126, 'twisting_char_label': '63.61', 'twisting_conrey_index': 61, 'weight': 2}
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id: 47588851
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 487, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 54043607878861934, 'source_is_minimal': False, 'source_label': '1134.2.g.m.487.2', 'source_level': 1134, 'target_conrey_index': 289, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31526503095208912, 'target_is_minimal': False, 'target_label': '3024.2.t.h.289.2', 'target_level': 3024, 'twist_class_label': '126.2.e.c.25.2', 'twist_class_level': 126, 'twisting_char_label': '252.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 47588852
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 487, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 54043607878861934, 'source_is_minimal': False, 'source_label': '1134.2.g.m.487.2', 'source_level': 1134, 'target_conrey_index': 625, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27022697309406192, 'target_is_minimal': False, 'target_label': '1008.2.q.g.625.2', 'target_level': 1008, 'twist_class_label': '126.2.e.c.25.2', 'twist_class_level': 126, 'twisting_char_label': '252.79', 'twisting_conrey_index': 79, 'weight': 2}
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id: 47588853
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 487, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 54043607878861934, 'source_is_minimal': False, 'source_label': '1134.2.g.m.487.2', 'source_level': 1134, 'target_conrey_index': 2305, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27022697309408208, 'target_is_minimal': False, 'target_label': '3024.2.q.g.2305.2', 'target_level': 3024, 'twist_class_label': '126.2.e.c.25.2', 'twist_class_level': 126, 'twisting_char_label': '252.191', 'twisting_conrey_index': 191, 'weight': 2}
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id: 47588854
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 487, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 54043607878861934, 'source_is_minimal': False, 'source_label': '1134.2.g.m.487.2', 'source_level': 1134, 'target_conrey_index': 961, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31526503095206896, 'target_is_minimal': False, 'target_label': '1008.2.t.h.961.2', 'target_level': 1008, 'twist_class_label': '126.2.e.c.25.2', 'twist_class_level': 126, 'twisting_char_label': '252.247', 'twisting_conrey_index': 247, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1710550
{'charpoly_factorization': [[[1, -1, 1], 3]], 'hecke_orbit_code': 54043607878861934, 'p': 2}
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id: 1710551
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 54043607878861934, 'p': 3}
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id: 1710552
{'charpoly_factorization': [[[9, 18, 33, 12, 7, -1, 1], 1]], 'hecke_orbit_code': 54043607878861934, 'p': 5}
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id: 1710553
{'charpoly_factorization': [[[343, -98, 14, 19, 2, -2, 1], 1]], 'hecke_orbit_code': 54043607878861934, 'p': 7}
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id: 1710554
{'charpoly_factorization': [[[9, -18, 33, -12, 7, 1, 1], 1]], 'hecke_orbit_code': 54043607878861934, 'p': 11}
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id: 1710555
{'charpoly_factorization': [[[-69, 1, 8, 1], 2]], 'hecke_orbit_code': 54043607878861934, 'p': 13}
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id: 1710556
{'charpoly_factorization': [[[576, 288, 240, 0, 28, 4, 1], 1]], 'hecke_orbit_code': 54043607878861934, 'p': 17}
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id: 1710557
{'charpoly_factorization': [[[2401, 1764, 1443, -10, 45, 3, 1], 1]], 'hecke_orbit_code': 54043607878861934, 'p': 19}
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id: 1710558
{'charpoly_factorization': [[[9, 36, 123, 78, 37, 7, 1], 1]], 'hecke_orbit_code': 54043607878861934, 'p': 23}
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id: 1710559
{'charpoly_factorization': [[[363, -66, -5, 1], 2]], 'hecke_orbit_code': 54043607878861934, 'p': 29}
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id: 1710560
{'charpoly_factorization': [[[40401, -24321, 10621, -2018, 279, -20, 1], 1]], 'hecke_orbit_code': 54043607878861934, 'p': 31}
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id: 1710561
{'charpoly_factorization': [[[1, -1, 1], 3]], 'hecke_orbit_code': 54043607878861934, 'p': 37}
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id: 1710562
{'charpoly_factorization': [[[9, -33, 0, 1], 2]], 'hecke_orbit_code': 54043607878861934, 'p': 41}
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id: 1710563
{'charpoly_factorization': [[[127, -69, -6, 1], 2]], 'hecke_orbit_code': 54043607878861934, 'p': 43}
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id: 1710564
{'charpoly_factorization': [[[35721, 10206, 4617, -108, 135, 9, 1], 1]], 'hecke_orbit_code': 54043607878861934, 'p': 47}
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id: 1710565
{'charpoly_factorization': [[[6561, -5346, 3141, -828, 159, -15, 1], 1]], 'hecke_orbit_code': 54043607878861934, 'p': 53}
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id: 1710566
{'charpoly_factorization': [[[3969, -2457, 2403, 672, 157, 14, 1], 1]], 'hecke_orbit_code': 54043607878861934, 'p': 59}
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id: 1710567
{'charpoly_factorization': [[[8649, -465, 769, -146, 69, -8, 1], 1]], 'hecke_orbit_code': 54043607878861934, 'p': 61}
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id: 1710568
{'charpoly_factorization': [[[44521, -23632, 12755, -310, 113, -1, 1], 1]], 'hecke_orbit_code': 54043607878861934, 'p': 67}
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id: 1710569
{'charpoly_factorization': [[[1593, -198, -7, 1], 2]], 'hecke_orbit_code': 54043607878861934, 'p': 71}
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id: 1710570
{'charpoly_factorization': [[[398161, 5048, 12053, -1414, 353, -19, 1], 1]], 'hecke_orbit_code': 54043607878861934, 'p': 73}
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id: 1710571
{'charpoly_factorization': [[[103041, -23754, 7081, -272, 99, -5, 1], 1]], 'hecke_orbit_code': 54043607878861934, 'p': 79}
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id: 1710572
{'charpoly_factorization': [[[-147, -63, 2, 1], 2]], 'hecke_orbit_code': 54043607878861934, 'p': 83}
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id: 1710573
{'charpoly_factorization': [[[81, -378, 1683, -396, 123, 9, 1], 1]], 'hecke_orbit_code': 54043607878861934, 'p': 89}
-
id: 1710574
{'charpoly_factorization': [[[248, 212, 28, 1], 2]], 'hecke_orbit_code': 54043607878861934, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 7, 'hecke_orbit': 13, 'label': '1134.2.g.m', 'level': 1134, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 225458000
{'hecke_orbit_code': 54043607878861934, 'n': 1, 'trace_an': 6}
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id: 225458001
{'hecke_orbit_code': 54043607878861934, 'n': 2, 'trace_an': 3}
-
id: 225458002
{'hecke_orbit_code': 54043607878861934, 'n': 3, 'trace_an': 0}
-
id: 225458003
{'hecke_orbit_code': 54043607878861934, 'n': 4, 'trace_an': -3}
-
id: 225458004
{'hecke_orbit_code': 54043607878861934, 'n': 5, 'trace_an': 1}
-
id: 225458005
{'hecke_orbit_code': 54043607878861934, 'n': 6, 'trace_an': 0}
-
id: 225458006
{'hecke_orbit_code': 54043607878861934, 'n': 7, 'trace_an': 2}
-
id: 225458007
{'hecke_orbit_code': 54043607878861934, 'n': 8, 'trace_an': -6}
-
id: 225458008
{'hecke_orbit_code': 54043607878861934, 'n': 9, 'trace_an': 0}
-
id: 225458009
{'hecke_orbit_code': 54043607878861934, 'n': 10, 'trace_an': -1}
-
id: 225458010
{'hecke_orbit_code': 54043607878861934, 'n': 11, 'trace_an': -1}
-
id: 225458011
{'hecke_orbit_code': 54043607878861934, 'n': 12, 'trace_an': 0}
-
id: 225458012
{'hecke_orbit_code': 54043607878861934, 'n': 13, 'trace_an': -16}
-
id: 225458013
{'hecke_orbit_code': 54043607878861934, 'n': 14, 'trace_an': 4}
-
id: 225458014
{'hecke_orbit_code': 54043607878861934, 'n': 15, 'trace_an': 0}
-
id: 225458015
{'hecke_orbit_code': 54043607878861934, 'n': 16, 'trace_an': -3}
-
id: 225458016
{'hecke_orbit_code': 54043607878861934, 'n': 17, 'trace_an': -4}
-
id: 225458017
{'hecke_orbit_code': 54043607878861934, 'n': 18, 'trace_an': 0}
-
id: 225458018
{'hecke_orbit_code': 54043607878861934, 'n': 19, 'trace_an': -3}
-
id: 225458019
{'hecke_orbit_code': 54043607878861934, 'n': 20, 'trace_an': -2}
-
id: 225458020
{'hecke_orbit_code': 54043607878861934, 'n': 21, 'trace_an': 0}
-
id: 225458021
{'hecke_orbit_code': 54043607878861934, 'n': 22, 'trace_an': -2}
-
id: 225458022
{'hecke_orbit_code': 54043607878861934, 'n': 23, 'trace_an': -7}
-
id: 225458023
{'hecke_orbit_code': 54043607878861934, 'n': 24, 'trace_an': 0}
-
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