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{'Nk2': 9576, 'analytic_conductor': 19.116186243894525, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [7, 1], [19, -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': [2394, 1, [533, 1711, 1009], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 12, 'field_disc_factorization': [[2, 2], [3, 1]], 'field_poly': [-3, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 12, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[5, [-12, 0, 1]], [11, [-8, -4, 1]], [13, [-12, 0, 1]], [17, [4, 8, 1]]], 'hecke_orbit': 24, 'hecke_orbit_code': 103582791463078234, 'hecke_ring_generator_nbound': 5, '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': False, 'label': '2394.2.a.x', 'level': 2394, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 19], 'level_radical': 798, 'minimal_twist': '798.2.a.k', 'nf_label': '2.2.12.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+q^{4}+\\beta q^{5}-q^{7}+q^{8}+\\beta q^{10}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2394.2.a', 'trace_display': [2, 0, 0, -2], 'trace_hash': 313432750866255337, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.014', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.976', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.850', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '67.724', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.025', 'prec': 17}, 'traces': [2, 2, 0, 2, 0, 0, -2, 2, 0, 0, 4, 0, 0, -2, 0, 2, -8, 0, 2, 0, 0, 4, 4, 0, 14, 0, 0, -2, 12, 0, 0, 2, 0, -8, 0, 0, 20, 2, 0, 0, 4, 0, 0, 4, 0, 4, -8, 0, 2, 14, 0, 0, -4, 0, 24, -2, 0, 12, -8, 0, 4, 0, 0, 2, -24, 0, 12, -8, 0, 0, 8, 0, 20, 20, 0, 2, -4, 0, -4, 0, 0, 4, -16, 0, -24, 0, 0, 4, 4, 0, 0, 4, 0, -8, 0, 0, 16, 2, 0, 14, -16, 0, 0, 0, 0, -4, 8, 0, 4, 24, 0, -2, 4, 0, 24, 12, 0, -8, 8, 0, 10, 4, 0, 0, 0, 0, -28, 2, 0, -24, 24, 0, -2, 12, 0, -8, -12, 0, -8, 0, 0, 8, -24, 0, 0, 20, 0, 20, 20, 0, -4, 2, 0, -4, 48, 0, 12, -4, 0, 0, -4, 0, 16, 4, 0, -16, 24, 0, -2, -24, 0, 0, -12, 0, -14, 4, 0, 4, -8, 0, -24, 0, 0, 4, 0, 0, -40, -8, 0, 0, 4, 0, -44, 16, 0, 2, 4, 0, -8, 14, 0, -16, -12, 0, 0, 0, 0, 0, 4, 0, -4, -4, 0, 8, -48, 0, 0, 4, 0, 24, 24, 0, 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{'AL_dims': [[[[2, -1], [3, -1], [7, -1], [19, -1]], 2, 2], [[[2, 1], [3, 1], [7, -1], [19, -1]], 3, 3], [[[2, 1], [3, -1], [7, -1], [19, 1]], 2, 1], [[[2, 1], [3, 1], [7, -1], [19, 1]], 2, 1], [[[2, -1], [3, 1], [7, -1], [19, 1]], 2, 1], [[[2, 1], [3, -1], [7, 1], [19, 1]], 4, 2], [[[2, -1], [3, 1], [7, -1], [19, -1]], 3, 3], [[[2, 1], [3, 1], [7, 1], [19, 1]], 3, 1], [[[2, 1], [3, -1], [7, -1], [19, -1]], 4, 2], [[[2, -1], [3, -1], [7, 1], [19, -1]], 5, 3], [[[2, 1], [3, -1], [7, 1], [19, -1]], 2, 2], [[[2, -1], [3, -1], [7, 1], [19, 1]], 2, 2], [[[2, -1], [3, 1], [7, 1], [19, -1]], 2, 1], [[[2, 1], [3, 1], [7, 1], [19, -1]], 2, 1], [[[2, -1], [3, 1], [7, 1], [19, 1]], 3, 1], [[[2, -1], [3, -1], [7, -1], [19, 1]], 5, 3]], 'ALdims': [3, 2, 2, 3, 4, 2, 2, 4, 3, 2, 2, 3, 2, 5, 5, 2], 'Nk2': 9576, 'analytic_conductor': 19.116186243894525, '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': [2394, 1, [533, 1711, 1009], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 465, 'dim': 46, 'eis_dim': 31, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11, 13, 17], 'hecke_orbit_code': 33556826, 'hecke_orbit_dims': [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, 3, 3, 3], 'label': '2394.2.a', 'level': 2394, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 19], 'level_radical': 798, 'mf_dim': 496, 'mf_new_dim': 46, 'num_forms': 29, 'plus_dim': 18, 'prim_orbit_index': 1, 'relative_dim': 46, 'sturm_bound': 960, 'trace_bound': 11, 'trace_display': [2, 0, -4, 0], 'traces': [46, 2, 0, 46, -4, 0, 0, 2, 0, 4, -4, 0, 12, 0, 0, 46, 12, 0, 0, -4, 0, 0, 0, 0, 78, 12, 0, 0, 4, 0, 0, 2, 0, -4, -4, 0, 12, 0, 0, 4, 28, 0, -12, -4, 0, -24, 8, 0, 46, 14, 0, 12, 12, 0, 8, 0, 0, -8, 24, 0, 12, 8, 0, 46, 16, 0, 16, 12, 0, 0, -24, 0, -68, 0, 0, 0, -8, 0, -16, -4, 0, 20, -32, 0, 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240, 0, 0, -80, 0, 208, -16, 0, -432, 96, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48480310
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 103582791463078234, 'source_is_minimal': False, 'source_label': '2394.2.a.x.1.2', 'source_level': 2394, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 103582791463078234, 'target_is_minimal': False, 'target_label': '2394.2.a.x.1.2', 'target_level': 2394, 'twist_class_label': '798.2.a.k.1.1', 'twist_class_level': 798, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48480311
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 103582791463078234, 'source_is_minimal': False, 'source_label': '2394.2.a.x.1.2', 'source_level': 2394, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45035996307260190, 'target_is_minimal': True, 'target_label': '798.2.a.k.1.1', 'target_level': 798, 'twist_class_label': '798.2.a.k.1.1', 'twist_class_level': 798, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48480312
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 103582791463078234, 'source_is_minimal': False, 'source_label': '2394.2.a.x.1.2', 'source_level': 2394, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 193654784010492144, 'target_is_minimal': False, 'target_label': '6384.2.a.br.1.1', 'target_level': 6384, 'twist_class_label': '798.2.a.k.1.1', 'twist_class_level': 798, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 48480313
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 103582791463078234, 'source_is_minimal': False, 'source_label': '2394.2.a.x.1.2', 'source_level': 2394, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 130604389227304402, 'target_is_minimal': False, 'target_label': '5586.2.a.bd.1.2', 'target_level': 5586, 'twist_class_label': '798.2.a.k.1.1', 'twist_class_level': 798, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2624375
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 103582791463078234, 'p': 2}
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id: 2624376
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 103582791463078234, 'p': 3}
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id: 2624377
{'charpoly_factorization': [[[-12, 0, 1], 1]], 'hecke_orbit_code': 103582791463078234, 'p': 5}
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id: 2624378
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 103582791463078234, 'p': 7}
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id: 2624379
{'charpoly_factorization': [[[-8, -4, 1], 1]], 'hecke_orbit_code': 103582791463078234, 'p': 11}
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id: 2624380
{'charpoly_factorization': [[[-12, 0, 1], 1]], 'hecke_orbit_code': 103582791463078234, 'p': 13}
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id: 2624381
{'charpoly_factorization': [[[4, 8, 1], 1]], 'hecke_orbit_code': 103582791463078234, 'p': 17}
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id: 2624382
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 103582791463078234, 'p': 19}
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id: 2624383
{'charpoly_factorization': [[[-8, -4, 1], 1]], 'hecke_orbit_code': 103582791463078234, 'p': 23}
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id: 2624384
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 103582791463078234, 'p': 29}
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id: 2624385
{'charpoly_factorization': [[[-48, 0, 1], 1]], 'hecke_orbit_code': 103582791463078234, 'p': 31}
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id: 2624386
{'charpoly_factorization': [[[-10, 1], 2]], 'hecke_orbit_code': 103582791463078234, 'p': 37}
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id: 2624387
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 103582791463078234, 'p': 41}
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id: 2624388
{'charpoly_factorization': [[[-48, 0, 1], 1]], 'hecke_orbit_code': 103582791463078234, 'p': 43}
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id: 2624389
{'charpoly_factorization': [[[-32, 8, 1], 1]], 'hecke_orbit_code': 103582791463078234, 'p': 47}
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id: 2624390
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 103582791463078234, 'p': 53}
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id: 2624391
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 103582791463078234, 'p': 59}
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id: 2624392
{'charpoly_factorization': [[[-44, -4, 1], 1]], 'hecke_orbit_code': 103582791463078234, 'p': 61}
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id: 2624393
{'charpoly_factorization': [[[24, -12, 1], 1]], 'hecke_orbit_code': 103582791463078234, 'p': 67}
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id: 2624394
{'charpoly_factorization': [[[-32, -8, 1], 1]], 'hecke_orbit_code': 103582791463078234, 'p': 71}
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id: 2624395
{'charpoly_factorization': [[[-10, 1], 2]], 'hecke_orbit_code': 103582791463078234, 'p': 73}
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id: 2624396
{'charpoly_factorization': [[[-104, 4, 1], 1]], 'hecke_orbit_code': 103582791463078234, 'p': 79}
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id: 2624397
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 103582791463078234, 'p': 83}
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id: 2624398
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 103582791463078234, 'p': 89}
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id: 2624399
{'charpoly_factorization': [[[52, -16, 1], 1]], 'hecke_orbit_code': 103582791463078234, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 24, 'label': '2394.2.a.x', 'level': 2394, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 255207000
{'hecke_orbit_code': 103582791463078234, 'n': 1, 'trace_an': 2}
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id: 255207001
{'hecke_orbit_code': 103582791463078234, 'n': 2, 'trace_an': 2}
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id: 255207002
{'hecke_orbit_code': 103582791463078234, 'n': 3, 'trace_an': 0}
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id: 255207003
{'hecke_orbit_code': 103582791463078234, 'n': 4, 'trace_an': 2}
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id: 255207004
{'hecke_orbit_code': 103582791463078234, 'n': 5, 'trace_an': 0}
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id: 255207005
{'hecke_orbit_code': 103582791463078234, 'n': 6, 'trace_an': 0}
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id: 255207006
{'hecke_orbit_code': 103582791463078234, 'n': 7, 'trace_an': -2}
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id: 255207007
{'hecke_orbit_code': 103582791463078234, 'n': 8, 'trace_an': 2}
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id: 255207008
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{'hecke_orbit_code': 103582791463078234, 'n': 1000, 'trace_an': 0}