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{'Nk2': 24960, 'analytic_conductor': 49.82665086127896, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, 1], [5, -1], [13, 1]], 'atkin_lehner_string': '-+-+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [6240, 1, [1951, 2341, 2081, 2497, 5761], [1, 1, 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': 0, 'hecke_cutters': [[7, [-8, 0, 1]], [11, [4, 1]], [17, [-4, -4, 1]], [19, [-8, 0, 1]]], 'hecke_orbit': 40, 'hecke_orbit_code': 175640385501010016, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], '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': True, 'label': '6240.2.a.bn', 'level': 6240, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 13], 'level_radical': 390, 'minimal_twist': '6240.2.a.bn', 'nf_label': '2.2.8.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{3}+q^{5}+\\beta q^{7}+q^{9}-4q^{11}-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': '6240.2.a', 'trace_display': [0, -2, 2, 0], 'trace_hash': 554386994578008503, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.986', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [5, -1], [13, -1]], 4, 3], [[[2, -1], [3, 1], [5, 1], [13, -1]], 6, 3], [[[2, 1], [3, 1], [5, -1], [13, -1]], 5, 3], [[[2, -1], [3, 1], [5, -1], [13, 1]], 5, 4], [[[2, -1], [3, 1], [5, -1], [13, -1]], 7, 3], [[[2, -1], [3, -1], [5, 1], [13, 1]], 5, 4], [[[2, 1], [3, -1], [5, -1], [13, -1]], 8, 3], [[[2, 1], [3, 1], [5, 1], [13, -1]], 6, 4], [[[2, 1], [3, -1], [5, 1], [13, -1]], 5, 4], [[[2, 1], [3, 1], [5, 1], [13, 1]], 6, 4], [[[2, -1], [3, 1], [5, 1], [13, 1]], 6, 4], [[[2, 1], [3, -1], [5, -1], [13, 1]], 4, 4], [[[2, -1], [3, -1], [5, 1], [13, -1]], 7, 3], [[[2, -1], [3, -1], [5, -1], [13, 1]], 8, 4], [[[2, 1], [3, 1], [5, -1], [13, 1]], 7, 4], [[[2, 1], [3, -1], [5, 1], [13, 1]], 7, 4]], 'ALdims': [6, 6, 7, 5, 7, 5, 4, 8, 6, 6, 5, 7, 5, 7, 8, 4], 'Nk2': 24960, 'analytic_conductor': 49.82665086127896, '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': [6240, 1, [1951, 2341, 2081, 2497, 5761], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1313, 'dim': 96, 'eis_dim': 63, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 17, 19], 'hecke_orbit_code': 33560672, '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, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4], 'label': '6240.2.a', 'level': 6240, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 13], 'level_radical': 390, 'mf_dim': 1376, 'mf_new_dim': 96, 'num_forms': 58, 'plus_dim': 40, 'prim_orbit_index': 1, 'relative_dim': 96, 'sturm_bound': 2688, 'trace_bound': 17, 'trace_display': [0, 0, 0, 0], 'traces': [96, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 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'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48923323
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 175640385501010016, 'source_is_minimal': True, 'source_label': '6240.2.a.bn.1.1', 'source_level': 6240, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 175640385501010016, 'target_is_minimal': True, 'target_label': '6240.2.a.bn.1.1', 'target_level': 6240, 'twist_class_label': '6240.2.a.bn.1.1', 'twist_class_level': 6240, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48923324
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 175640385501010016, 'source_is_minimal': True, 'source_label': '6240.2.a.bn.1.1', 'source_level': 6240, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 202661983265232992, 'target_is_minimal': True, 'target_label': '6240.2.a.bt.1.2', 'target_level': 6240, 'twist_class_label': '6240.2.a.bn.1.1', 'twist_class_level': 6240, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4130375
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 175640385501010016, 'p': 2}
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id: 4130376
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 175640385501010016, 'p': 3}
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id: 4130377
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 175640385501010016, 'p': 5}
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id: 4130378
{'charpoly_factorization': [[[-8, 0, 1], 1]], 'hecke_orbit_code': 175640385501010016, 'p': 7}
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id: 4130379
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 175640385501010016, 'p': 11}
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id: 4130380
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 175640385501010016, 'p': 13}
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id: 4130381
{'charpoly_factorization': [[[-4, -4, 1], 1]], 'hecke_orbit_code': 175640385501010016, 'p': 17}
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id: 4130382
{'charpoly_factorization': [[[-8, 0, 1], 1]], 'hecke_orbit_code': 175640385501010016, 'p': 19}
-
id: 4130383
{'charpoly_factorization': [[[-8, 0, 1], 1]], 'hecke_orbit_code': 175640385501010016, 'p': 23}
-
id: 4130384
{'charpoly_factorization': [[[-4, 4, 1], 1]], 'hecke_orbit_code': 175640385501010016, 'p': 29}
-
id: 4130385
{'charpoly_factorization': [[[-16, -8, 1], 1]], 'hecke_orbit_code': 175640385501010016, 'p': 31}
-
id: 4130386
{'charpoly_factorization': [[[-28, -4, 1], 1]], 'hecke_orbit_code': 175640385501010016, 'p': 37}
-
id: 4130387
{'charpoly_factorization': [[[4, -12, 1], 1]], 'hecke_orbit_code': 175640385501010016, 'p': 41}
-
id: 4130388
{'charpoly_factorization': [[[-16, 8, 1], 1]], 'hecke_orbit_code': 175640385501010016, 'p': 43}
-
id: 4130389
{'charpoly_factorization': [[[-16, 8, 1], 1]], 'hecke_orbit_code': 175640385501010016, 'p': 47}
-
id: 4130390
{'charpoly_factorization': [[[-124, -4, 1], 1]], 'hecke_orbit_code': 175640385501010016, 'p': 53}
-
id: 4130391
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 175640385501010016, 'p': 59}
-
id: 4130392
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 175640385501010016, 'p': 61}
-
id: 4130393
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 175640385501010016, 'p': 67}
-
id: 4130394
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 175640385501010016, 'p': 71}
-
id: 4130395
{'charpoly_factorization': [[[28, -12, 1], 1]], 'hecke_orbit_code': 175640385501010016, 'p': 73}
-
id: 4130396
{'charpoly_factorization': [[[-32, 0, 1], 1]], 'hecke_orbit_code': 175640385501010016, 'p': 79}
-
id: 4130397
{'charpoly_factorization': [[[-112, 8, 1], 1]], 'hecke_orbit_code': 175640385501010016, 'p': 83}
-
id: 4130398
{'charpoly_factorization': [[[-28, 4, 1], 1]], 'hecke_orbit_code': 175640385501010016, 'p': 89}
-
id: 4130399
{'charpoly_factorization': [[[28, 20, 1], 1]], 'hecke_orbit_code': 175640385501010016, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 40, 'label': '6240.2.a.bn', 'level': 6240, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 273028000
{'hecke_orbit_code': 175640385501010016, 'n': 1, 'trace_an': 2}
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id: 273028001
{'hecke_orbit_code': 175640385501010016, 'n': 2, 'trace_an': 0}
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id: 273028002
{'hecke_orbit_code': 175640385501010016, 'n': 3, 'trace_an': -2}
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id: 273028003
{'hecke_orbit_code': 175640385501010016, 'n': 4, 'trace_an': 0}
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id: 273028004
{'hecke_orbit_code': 175640385501010016, 'n': 5, 'trace_an': 2}
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id: 273028005
{'hecke_orbit_code': 175640385501010016, 'n': 6, 'trace_an': 0}
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id: 273028006
{'hecke_orbit_code': 175640385501010016, 'n': 7, 'trace_an': 0}
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id: 273028989
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id: 273028990
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id: 273028992
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id: 273028993
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id: 273028999
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