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{'Nk2': 29760, 'analytic_conductor': 59.4086991038326, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, 1], [5, -1], [31, -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': [7440, 1, [6511, 1861, 4961, 2977, 5521], [1, 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': [[7, [-8, 1, 1]], [11, [4, 7, 1]], [13, [2, 1]], [17, [-32, -2, 1]], [19, [4, -7, 1]]], 'hecke_orbit': 33, 'hecke_orbit_code': 144115188109417744, 'hecke_ring_generator_nbound': 7, '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': '7440.2.a.bg', 'level': 7440, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 31], 'level_radical': 930, 'minimal_twist': '930.2.a.r', 'nf_label': '2.2.33.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{3}+q^{5}-\\beta q^{7}+q^{9}+(-4+\\beta )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': '7440.2.a', 'trace_display': [0, -2, 2, -1], 'trace_hash': 140233554456899937, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.037', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.985', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.202', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.440', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.624', 'prec': 17}, {'__RealLiteral__': 0, 'data': '63.391', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.009', 'prec': 17}, 'traces': [2, 0, -2, 0, 2, 0, -1, 0, 2, 0, -7, 0, -4, 0, -2, 0, 2, 0, 7, 0, 1, 0, -1, 0, 2, 0, -2, 0, -6, 0, 2, 0, 7, 0, -1, 0, 10, 0, 4, 0, -10, 0, -7, 0, 2, 0, 2, 0, 3, 0, -2, 0, -3, 0, -7, 0, -7, 0, 6, 0, 0, 0, -1, 0, -4, 0, -10, 0, 1, 0, -1, 0, 1, 0, -2, 0, -13, 0, 15, 0, 2, 0, 24, 0, 2, 0, 6, 0, 3, 0, 2, 0, -2, 0, 7, 0, 4, 0, -7, 0, -1, 0, 16, 0, 1, 0, -7, 0, -2, 0, -10, 0, -11, 0, -1, 0, -4, 0, 32, 0, 19, 0, 10, 0, 2, 0, -4, 0, 7, 0, -2, 0, 13, 0, -2, 0, 16, 0, 10, 0, -2, 0, 14, 0, -6, 0, -3, 0, -7, 0, 16, 0, 2, 0, 2, 0, 13, 0, 3, 0, 17, 0, -14, 0, 7, 0, 31, 0, -18, 0, 7, 0, -36, 0, -1, 0, -6, 0, 24, 0, 1, 0, 0, 0, 10, 0, -40, 0, 1, 0, -32, 0, 8, 0, 4, 0, 16, 0, 31, 0, 10, 0, 36, 0, -10, 0, -1, 0, -41, 0, 7, 0, 1, 0, -7, 0, 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{'AL_dims': [[[[2, -1], [3, -1], [5, -1], [31, -1]], 6, 3], [[[2, -1], [3, 1], [5, 1], [31, -1]], 7, 4], [[[2, 1], [3, 1], [5, -1], [31, -1]], 6, 4], [[[2, -1], [3, 1], [5, 1], [31, 1]], 8, 4], [[[2, 1], [3, 1], [5, 1], [31, 1]], 7, 3], [[[2, -1], [3, 1], [5, -1], [31, 1]], 6, 4], [[[2, -1], [3, 1], [5, -1], [31, -1]], 9, 6], [[[2, 1], [3, 1], [5, -1], [31, 1]], 9, 3], [[[2, -1], [3, -1], [5, 1], [31, 1]], 7, 4], [[[2, -1], [3, -1], [5, -1], [31, 1]], 9, 5], [[[2, 1], [3, -1], [5, -1], [31, -1]], 9, 3], [[[2, 1], [3, 1], [5, 1], [31, -1]], 8, 2], [[[2, 1], [3, -1], [5, 1], [31, -1]], 7, 4], [[[2, 1], [3, -1], [5, -1], [31, 1]], 6, 2], [[[2, 1], [3, -1], [5, 1], [31, 1]], 8, 2], [[[2, -1], [3, -1], [5, 1], [31, -1]], 8, 5]], 'ALdims': [7, 8, 9, 6, 8, 7, 6, 9, 8, 7, 6, 9, 7, 8, 9, 6], 'Nk2': 29760, 'analytic_conductor': 59.4086991038326, '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': [7440, 1, [6511, 1861, 4961, 2977, 5521], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1513, 'dim': 120, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13, 17, 19], 'hecke_orbit_code': 33561872, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5], 'label': '7440.2.a', 'level': 7440, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 31], 'level_radical': 930, 'mf_dim': 1560, 'mf_new_dim': 120, 'num_forms': 58, 'plus_dim': 52, 'prim_orbit_index': 1, 'relative_dim': 120, 'sturm_bound': 3072, 'trace_bound': 17, 'trace_display': [0, 0, 0, -8], 'traces': [120, 0, 0, 0, 0, 0, -8, 0, 120, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 120, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, -16, 0, -16, 0, 0, 0, 0, 0, 104, 0, 0, 0, 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mf_twists_cc • Show schema
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id: 48789204
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 144115188109417744, 'source_is_minimal': False, 'source_label': '7440.2.a.bg.1.2', 'source_level': 7440, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 144115188109417744, 'target_is_minimal': False, 'target_label': '7440.2.a.bg.1.2', 'target_level': 7440, 'twist_class_label': '930.2.a.r.1.1', 'twist_class_level': 930, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48789205
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 144115188109417744, 'source_is_minimal': False, 'source_label': '7440.2.a.bg.1.2', 'source_level': 7440, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 76561193698853794, 'target_is_minimal': True, 'target_label': '930.2.a.r.1.1', 'target_level': 930, 'twist_class_label': '930.2.a.r.1.1', 'twist_class_level': 930, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48789206
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 144115188109417744, 'source_is_minimal': False, 'source_label': '7440.2.a.bg.1.2', 'source_level': 7440, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 130604389227301606, 'target_is_minimal': False, 'target_label': '2790.2.a.bd.1.1', 'target_level': 2790, 'twist_class_label': '930.2.a.r.1.1', 'twist_class_level': 930, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 48789207
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 144115188109417744, 'source_is_minimal': False, 'source_label': '7440.2.a.bg.1.2', 'source_level': 7440, 'target_conrey_index': 3349, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 148618993895215658, 'target_is_minimal': False, 'target_label': '4650.2.d.bh.3349.2', 'target_level': 4650, 'twist_class_label': '930.2.a.r.1.1', 'twist_class_level': 930, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48789208
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 144115188109417744, 'source_is_minimal': False, 'source_label': '7440.2.a.bg.1.2', 'source_level': 7440, 'target_conrey_index': 3349, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 148618993895215658, 'target_is_minimal': False, 'target_label': '4650.2.d.bh.3349.3', 'target_level': 4650, 'twist_class_label': '930.2.a.r.1.1', 'twist_class_level': 930, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 48789209
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 144115188109417744, 'source_is_minimal': False, 'source_label': '7440.2.a.bg.1.2', 'source_level': 7440, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 225179981402083882, 'target_is_minimal': False, 'target_label': '4650.2.a.by.1.2', 'target_level': 4650, 'twist_class_label': '930.2.a.r.1.1', 'twist_class_level': 930, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4474525
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 144115188109417744, 'p': 2}
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id: 4474526
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 144115188109417744, 'p': 3}
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id: 4474527
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 144115188109417744, 'p': 5}
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id: 4474528
{'charpoly_factorization': [[[-8, 1, 1], 1]], 'hecke_orbit_code': 144115188109417744, 'p': 7}
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id: 4474529
{'charpoly_factorization': [[[4, 7, 1], 1]], 'hecke_orbit_code': 144115188109417744, 'p': 11}
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id: 4474530
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 144115188109417744, 'p': 13}
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id: 4474531
{'charpoly_factorization': [[[-32, -2, 1], 1]], 'hecke_orbit_code': 144115188109417744, 'p': 17}
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id: 4474532
{'charpoly_factorization': [[[4, -7, 1], 1]], 'hecke_orbit_code': 144115188109417744, 'p': 19}
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id: 4474533
{'charpoly_factorization': [[[-8, 1, 1], 1]], 'hecke_orbit_code': 144115188109417744, 'p': 23}
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id: 4474534
{'charpoly_factorization': [[[-24, 6, 1], 1]], 'hecke_orbit_code': 144115188109417744, 'p': 29}
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id: 4474535
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 144115188109417744, 'p': 31}
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id: 4474536
{'charpoly_factorization': [[[-8, -10, 1], 1]], 'hecke_orbit_code': 144115188109417744, 'p': 37}
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id: 4474537
{'charpoly_factorization': [[[-8, 10, 1], 1]], 'hecke_orbit_code': 144115188109417744, 'p': 41}
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id: 4474538
{'charpoly_factorization': [[[4, 7, 1], 1]], 'hecke_orbit_code': 144115188109417744, 'p': 43}
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id: 4474539
{'charpoly_factorization': [[[-32, -2, 1], 1]], 'hecke_orbit_code': 144115188109417744, 'p': 47}
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id: 4474540
{'charpoly_factorization': [[[-6, 3, 1], 1]], 'hecke_orbit_code': 144115188109417744, 'p': 53}
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id: 4474541
{'charpoly_factorization': [[[-24, -6, 1], 1]], 'hecke_orbit_code': 144115188109417744, 'p': 59}
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id: 4474542
{'charpoly_factorization': [[[-132, 0, 1], 1]], 'hecke_orbit_code': 144115188109417744, 'p': 61}
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id: 4474543
{'charpoly_factorization': [[[-8, 10, 1], 1]], 'hecke_orbit_code': 144115188109417744, 'p': 67}
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id: 4474544
{'charpoly_factorization': [[[-8, 1, 1], 1]], 'hecke_orbit_code': 144115188109417744, 'p': 71}
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id: 4474545
{'charpoly_factorization': [[[-74, -1, 1], 1]], 'hecke_orbit_code': 144115188109417744, 'p': 73}
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id: 4474546
{'charpoly_factorization': [[[48, -15, 1], 1]], 'hecke_orbit_code': 144115188109417744, 'p': 79}
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id: 4474547
{'charpoly_factorization': [[[-12, 1], 2]], 'hecke_orbit_code': 144115188109417744, 'p': 83}
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id: 4474548
{'charpoly_factorization': [[[-6, -3, 1], 1]], 'hecke_orbit_code': 144115188109417744, 'p': 89}
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id: 4474549
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 144115188109417744, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 33, 'label': '7440.2.a.bg', 'level': 7440, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 267978000
{'hecke_orbit_code': 144115188109417744, 'n': 1, 'trace_an': 2}
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id: 267978001
{'hecke_orbit_code': 144115188109417744, 'n': 2, 'trace_an': 0}
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id: 267978002
{'hecke_orbit_code': 144115188109417744, 'n': 3, 'trace_an': -2}
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id: 267978003
{'hecke_orbit_code': 144115188109417744, 'n': 4, 'trace_an': 0}
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id: 267978004
{'hecke_orbit_code': 144115188109417744, 'n': 5, 'trace_an': 2}
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id: 267978005
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