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{'Nk2': 10944, 'analytic_conductor': 21.847069993022313, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [19, 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': [2736, 1, [1711, 2053, 1217, 1009], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 33, 'field_disc_factorization': [[3, 1], [11, 1]], 'field_poly': [-8, -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': [[5, [-6, 3, 1]], [7, [-8, 1, 1]], [11, [-6, 3, 1]], [13, [-2, 1]]], 'hecke_orbit': 25, 'hecke_orbit_code': 108086391090449072, 'hecke_ring_generator_nbound': 5, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '2736.2.a.y', 'level': 2736, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 19], 'level_radical': 114, 'minimal_twist': '228.2.a.c', 'nf_label': '2.2.33.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(-1-\\beta )q^{5}+(-1+\\beta )q^{7}+(-1+\\cdots)q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2736.2.a', 'trace_display': [0, 0, -3, -1], 'trace_hash': 1535256562110654264, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.996', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [19, -1]], 7, 7], [[[2, -1], [3, 1], [19, -1]], 4, 3], [[[2, -1], [3, 1], [19, 1]], 4, 1], [[[2, 1], [3, 1], [19, 1]], 2, 2], [[[2, 1], [3, -1], [19, -1]], 5, 3], [[[2, -1], [3, -1], [19, 1]], 7, 6], [[[2, 1], [3, 1], [19, -1]], 8, 4], [[[2, 1], [3, -1], [19, 1]], 8, 6]], 'ALdims': [2, 8, 8, 5, 4, 4, 7, 7], 'Nk2': 10944, 'analytic_conductor': 21.847069993022313, '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': [2736, 1, [1711, 2053, 1217, 1009], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 457, 'dim': 45, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 11, 13], 'hecke_orbit_code': 33557168, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 4], 'label': '2736.2.a', 'level': 2736, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 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mf_twists_cc • Show schema
Hide schema
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id: 48525119
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 108086391090449072, 'source_is_minimal': False, 'source_label': '2736.2.a.y.1.1', 'source_level': 2736, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 108086391090449072, 'target_is_minimal': False, 'target_label': '2736.2.a.y.1.1', 'target_level': 2736, 'twist_class_label': '228.2.a.c.1.2', 'twist_class_level': 228, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48525120
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 108086391090449072, 'source_is_minimal': False, 'source_label': '2736.2.a.y.1.1', 'source_level': 2736, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 58546795189371792, 'target_is_minimal': False, 'target_label': '912.2.a.n.1.2', 'target_level': 912, 'twist_class_label': '228.2.a.c.1.2', 'twist_class_level': 228, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48525121
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 108086391090449072, 'source_is_minimal': False, 'source_label': '2736.2.a.y.1.1', 'source_level': 2736, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798915666604, 'target_is_minimal': False, 'target_label': '684.2.a.d.1.1', 'target_level': 684, 'twist_class_label': '228.2.a.c.1.2', 'twist_class_level': 228, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48525122
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 108086391090449072, 'source_is_minimal': False, 'source_label': '2736.2.a.y.1.1', 'source_level': 2736, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007199288295652, 'target_is_minimal': True, 'target_label': '228.2.a.c.1.2', 'target_level': 228, 'twist_class_label': '228.2.a.c.1.2', 'twist_class_level': 228, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 48525123
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 108086391090449072, 'source_is_minimal': False, 'source_label': '2736.2.a.y.1.1', 'source_level': 2736, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 189151184383118912, 'target_is_minimal': False, 'target_label': '3648.2.a.bq.1.1', 'target_level': 3648, 'twist_class_label': '228.2.a.c.1.2', 'twist_class_level': 228, 'twisting_char_label': '24.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 48525124
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 108086391090449072, 'source_is_minimal': False, 'source_label': '2736.2.a.y.1.1', 'source_level': 2736, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 162129586618895936, 'target_is_minimal': False, 'target_label': '3648.2.a.bk.1.1', 'target_level': 3648, 'twist_class_label': '228.2.a.c.1.2', 'twist_class_level': 228, 'twisting_char_label': '24.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 48525125
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 108086391090449072, 'source_is_minimal': False, 'source_label': '2736.2.a.y.1.1', 'source_level': 2736, 'target_conrey_index': 3649, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 54043539159389764, 'target_is_minimal': False, 'target_label': '5700.2.f.m.3649.4', 'target_level': 5700, 'twist_class_label': '228.2.a.c.1.2', 'twist_class_level': 228, 'twisting_char_label': '60.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 48525126
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 108086391090449072, 'source_is_minimal': False, 'source_label': '2736.2.a.y.1.1', 'source_level': 2736, 'target_conrey_index': 3649, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043539159389764, 'target_is_minimal': False, 'target_label': '5700.2.f.m.3649.1', 'target_level': 5700, 'twist_class_label': '228.2.a.c.1.2', 'twist_class_level': 228, 'twisting_char_label': '60.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 48525127
{'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 108086391090449072, 'source_is_minimal': False, 'source_label': '2736.2.a.y.1.1', 'source_level': 2736, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 85568392953599556, 'target_is_minimal': False, 'target_label': '5700.2.a.t.1.2', 'target_level': 5700, 'twist_class_label': '228.2.a.c.1.2', 'twist_class_level': 228, 'twisting_char_label': '60.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 48525128
{'conductor': 228, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 108086391090449072, 'source_is_minimal': False, 'source_label': '2736.2.a.y.1.1', 'source_level': 2736, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 36028797052522732, 'target_is_minimal': False, 'target_label': '4332.2.a.i.1.2', 'target_level': 4332, 'twist_class_label': '228.2.a.c.1.2', 'twist_class_level': 228, 'twisting_char_label': '228.227', 'twisting_conrey_index': 227, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2823000
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 108086391090449072, 'p': 2}
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id: 2823001
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 108086391090449072, 'p': 3}
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id: 2823002
{'charpoly_factorization': [[[-6, 3, 1], 1]], 'hecke_orbit_code': 108086391090449072, 'p': 5}
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id: 2823003
{'charpoly_factorization': [[[-8, 1, 1], 1]], 'hecke_orbit_code': 108086391090449072, 'p': 7}
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id: 2823004
{'charpoly_factorization': [[[-6, 3, 1], 1]], 'hecke_orbit_code': 108086391090449072, 'p': 11}
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id: 2823005
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 108086391090449072, 'p': 13}
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id: 2823006
{'charpoly_factorization': [[[-6, -3, 1], 1]], 'hecke_orbit_code': 108086391090449072, 'p': 17}
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id: 2823007
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 108086391090449072, 'p': 19}
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id: 2823008
{'charpoly_factorization': [[[-24, 6, 1], 1]], 'hecke_orbit_code': 108086391090449072, 'p': 23}
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id: 2823009
{'charpoly_factorization': [[[-24, -6, 1], 1]], 'hecke_orbit_code': 108086391090449072, 'p': 29}
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id: 2823010
{'charpoly_factorization': [[[-32, -2, 1], 1]], 'hecke_orbit_code': 108086391090449072, 'p': 31}
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id: 2823011
{'charpoly_factorization': [[[-32, 2, 1], 1]], 'hecke_orbit_code': 108086391090449072, 'p': 37}
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id: 2823012
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 108086391090449072, 'p': 41}
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id: 2823013
{'charpoly_factorization': [[[-8, 1, 1], 1]], 'hecke_orbit_code': 108086391090449072, 'p': 43}
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id: 2823014
{'charpoly_factorization': [[[102, 21, 1], 1]], 'hecke_orbit_code': 108086391090449072, 'p': 47}
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id: 2823015
{'charpoly_factorization': [[[-24, 6, 1], 1]], 'hecke_orbit_code': 108086391090449072, 'p': 53}
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id: 2823016
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 108086391090449072, 'p': 59}
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id: 2823017
{'charpoly_factorization': [[[22, 11, 1], 1]], 'hecke_orbit_code': 108086391090449072, 'p': 61}
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id: 2823018
{'charpoly_factorization': [[[-128, 4, 1], 1]], 'hecke_orbit_code': 108086391090449072, 'p': 67}
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id: 2823019
{'charpoly_factorization': [[[12, 1], 2]], 'hecke_orbit_code': 108086391090449072, 'p': 71}
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id: 2823020
{'charpoly_factorization': [[[-2, 5, 1], 1]], 'hecke_orbit_code': 108086391090449072, 'p': 73}
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id: 2823021
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 108086391090449072, 'p': 79}
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id: 2823022
{'charpoly_factorization': [[[-24, -6, 1], 1]], 'hecke_orbit_code': 108086391090449072, 'p': 83}
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id: 2823023
{'charpoly_factorization': [[[48, 18, 1], 1]], 'hecke_orbit_code': 108086391090449072, 'p': 89}
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id: 2823024
{'charpoly_factorization': [[[-14, 1], 2]], 'hecke_orbit_code': 108086391090449072, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 25, 'label': '2736.2.a.y', 'level': 2736, 'portrait': 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'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 257053000
{'hecke_orbit_code': 108086391090449072, 'n': 1, 'trace_an': 2}
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id: 257053001
{'hecke_orbit_code': 108086391090449072, 'n': 2, 'trace_an': 0}
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id: 257053002
{'hecke_orbit_code': 108086391090449072, 'n': 3, 'trace_an': 0}
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id: 257053003
{'hecke_orbit_code': 108086391090449072, 'n': 4, 'trace_an': 0}
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id: 257053004
{'hecke_orbit_code': 108086391090449072, 'n': 5, 'trace_an': -3}
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id: 257053005
{'hecke_orbit_code': 108086391090449072, 'n': 6, 'trace_an': 0}
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id: 257053006
{'hecke_orbit_code': 108086391090449072, 'n': 7, 'trace_an': -1}
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id: 257053007
{'hecke_orbit_code': 108086391090449072, 'n': 8, 'trace_an': 0}
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id: 257053008
{'hecke_orbit_code': 108086391090449072, 'n': 9, 'trace_an': 0}
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id: 257053009
{'hecke_orbit_code': 108086391090449072, 'n': 10, 'trace_an': 0}
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id: 257053010
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