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{'Nk2': 12160, 'analytic_conductor': 24.274522214469236, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [5, 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': [3040, 1, [191, 2661, 1217, 1921], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 5, 'field_disc': 387268, 'field_disc_factorization': [[2, 2], [7, 1], [13831, 1]], 'field_poly': [-2, 12, 4, -7, -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': [[3, [10, -8, -20, -3, 4, 1]], [7, [-4, -36, 60, -13, -4, 1]], [11, [-64, 208, -44, -32, 2, 1]]], 'hecke_orbit': 21, 'hecke_orbit_code': 90071992580967392, '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_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '3040.2.a.u', 'level': 3040, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 19], 'level_radical': 190, 'minimal_twist': '3040.2.a.u', 'nf_label': '5.5.387268.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(-1-\\beta _{1})q^{3}-q^{5}+(1+\\beta _{4})q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 5, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3040.2.a', 'trace_display': [0, -4, -5, 4], 'trace_hash': 563331604590016683, 'trace_moments': [{'__RealLiteral__': 0, 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'label': '3040.2.a.u.1.4', 'level': 3040, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [10, 8, 11, 7, 8, 10, 7, 11], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [3, 4, 4, 4, 4, 4, 4, 4], 'ALdims_old': [43, 54, 53, 47, 48, 52, 53, 43], 'Nk2': 12160, 'analytic_conductor': 24.274522214469236, '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': [3040, 1, [191, 2661, 1217, 1921], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 465, 'dim': 72, 'eis_dim': 31, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 11], 'hecke_orbit_code': 33557472, 'hecke_orbit_dims': [1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5], 'label': '3040.2.a', 'level': 3040, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 19], 'level_radical': 190, 'mf_dim': 496, 'mf_new_dim': 72, 'num_forms': 24, 'plus_dim': 34, 'prim_orbit_index': 1, 'relative_dim': 72, 'sturm_bound': 960, 'trace_bound': 11, 'trace_display': [0, 0, 0, 0], 'traces': [72, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 72, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, -32, 0, 0, 0, 32, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, -24, 0, 0, 0, 96, 0, 0, 0, -112, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, -64, 0, 0, 0, 96, 0, 0, 0, -32, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 192, 0, 0, 0, 72, 0, 0, 0, -80, 0, 0, 0, -80, 0, 0, 0, -96, 0, 0, 0, -64, 0, 0, 0, -16, 0, 0, 0, -144, 0, 0, 0, 64, 0, 0, 0, -160, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, -32, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, -32, 0, 0, 0, 64, 0, 0, 0, -112, 0, 0, 0, 48, 0, 0, 0, -80, 0, 0, 0, -32, 0, 0, 0, -192, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 160, 0, 0, 0, -128, 0, 0, 0, 288, 0, 0, 0, 16, 0, 0, 0, -112, 0, 0, 0, 96, 0, 0, 0, 96, 0, 0, 0, 72, 0, 0, 0, 64, 0, 0, 0, -32, 0, 0, 0, -128, 0, 0, 0, -112, 0, 0, 0, 208, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, -48, 0, 0, 0, -160, 0, 0, 0, 224, 0, 0, 0, -192, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 312, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 192, 0, 0, 0, -160, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, -224, 0, 0, 0, -128, 0, 0, 0, -32, 0, 0, 0, 96, 0, 0, 0, 80, 0, 0, 0, 128, 0, 0, 0, 32, 0, 0, 0, 560, 0, 0, 0, 96, 0, 0, 0, -16, 0, 0, 0, -48, 0, 0, 0, 96, 0, 0, 0, -112, 0, 0, 0, -16, 0, 0, 0, 8, 0, 0, 0, -64, 0, 0, 0, -128, 0, 0, 0, 144, 0, 0, 0, 16, 0, 0, 0, -160, 0, 0, 0, -288, 0, 0, 0, 128, 0, 0, 0, 224, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, -256, 0, 0, 0, 80, 0, 0, 0, 96, 0, 0, 0, -32, 0, 0, 0, -240, 0, 0, 0, -384, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 64, 0, 0, 0, 16, 0, 0, 0, 32, 0, 0, 0, 72, 0, 0, 0, -160, 0, 0, 0, 16, 0, 0, 0, -288, 0, 0, 0, -160, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 16, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -208, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 96, 0, 0, 0, -48, 0, 0, 0, 32, 0, 0, 0, 64, 0, 0, 0, 128, 0, 0, 0, 144, 0, 0, 0, -208, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, -16, 0, 0, 0, 264, 0, 0, 0, -288, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 48, 0, 0, 0, -128, 0, 0, 0, 64, 0, 0, 0, -224, 0, 0, 0, 96, 0, 0, 0, 192, 0, 0, 0, 448, 0, 0, 0, -352, 0, 0, 0, 160, 0, 0, 0, 80, 0, 0, 0, -48, 0, 0, 0, -64, 0, 0, 0, -32, 0, 0, 0, 208, 0, 0, 0, 144, 0, 0, 0, -96, 0, 0, 0, -224, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 320, 0, 0, 0, -80, 0, 0, 0, -608, 0, 0, 0, 296, 0, 0, 0, 0, 0, 0, 0, -208, 0, 0, 0, -64, 0, 0, 0, -192, 0, 0, 0, 320, 0, 0, 0, -64, 0, 0, 0, 96, 0, 0, 0, -288, 0, 0, 0, -96, 0, 0, 0, -384, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, -32, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -400, 0, 0, 0, -32, 0, 0, 0, 32, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, -320, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 192, 0, 0, 0, 96, 0, 0, 0, -320, 0, 0, 0, -288, 0, 0, 0, 200, 0, 0, 0, 64, 0, 0, 0, 144, 0, 0, 0, -352, 0, 0, 0, 64, 0, 0, 0, -224, 0, 0, 0, -16, 0, 0, 0, -144, 0, 0, 0, 16, 0, 0, 0, -320, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48315799
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 4, 'source_hecke_orbit_code': 90071992580967392, 'source_is_minimal': True, 'source_label': '3040.2.a.u.1.4', 'source_level': 3040, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 4, 'target_hecke_orbit_code': 90071992580967392, 'target_is_minimal': True, 'target_label': '3040.2.a.u.1.4', 'target_level': 3040, 'twist_class_label': '3040.2.a.u.1.4', 'twist_class_level': 3040, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48315800
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 4, 'source_hecke_orbit_code': 90071992580967392, 'source_is_minimal': True, 'source_label': '3040.2.a.u.1.4', 'source_level': 3040, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 2, 'target_hecke_orbit_code': 103582791463078880, 'target_is_minimal': True, 'target_label': '3040.2.a.x.1.2', 'target_level': 3040, 'twist_class_label': '3040.2.a.u.1.4', 'twist_class_level': 3040, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48315801
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 4, 'source_hecke_orbit_code': 90071992580967392, 'source_is_minimal': True, 'source_label': '3040.2.a.u.1.4', 'source_level': 3040, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 4, 'target_hecke_orbit_code': 270215977675790272, 'target_is_minimal': False, 'target_label': '6080.2.a.ci.1.4', 'target_level': 6080, 'twist_class_label': '3040.2.a.u.1.4', 'twist_class_level': 3040, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48315802
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 4, 'source_hecke_orbit_code': 90071992580967392, 'source_is_minimal': True, 'source_label': '3040.2.a.u.1.4', 'source_level': 3040, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 2, 'target_hecke_orbit_code': 283726776557901760, 'target_is_minimal': False, 'target_label': '6080.2.a.cl.1.2', 'target_level': 6080, 'twist_class_label': '3040.2.a.u.1.4', 'twist_class_level': 3040, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2976375
{'charpoly_factorization': [[[0, 1], 5]], 'hecke_orbit_code': 90071992580967392, 'p': 2}
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id: 2976376
{'charpoly_factorization': [[[10, -8, -20, -3, 4, 1], 1]], 'hecke_orbit_code': 90071992580967392, 'p': 3}
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id: 2976377
{'charpoly_factorization': [[[1, 1], 5]], 'hecke_orbit_code': 90071992580967392, 'p': 5}
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id: 2976378
{'charpoly_factorization': [[[-4, -36, 60, -13, -4, 1], 1]], 'hecke_orbit_code': 90071992580967392, 'p': 7}
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id: 2976379
{'charpoly_factorization': [[[-64, 208, -44, -32, 2, 1], 1]], 'hecke_orbit_code': 90071992580967392, 'p': 11}
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id: 2976380
{'charpoly_factorization': [[[2, -54, -74, -19, 4, 1], 1]], 'hecke_orbit_code': 90071992580967392, 'p': 13}
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id: 2976381
{'charpoly_factorization': [[[-1192, -1204, -302, 13, 12, 1], 1]], 'hecke_orbit_code': 90071992580967392, 'p': 17}
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id: 2976382
{'charpoly_factorization': [[[-1, 1], 5]], 'hecke_orbit_code': 90071992580967392, 'p': 19}
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id: 2976383
{'charpoly_factorization': [[[772, 756, 152, -37, -8, 1], 1]], 'hecke_orbit_code': 90071992580967392, 'p': 23}
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id: 2976384
{'charpoly_factorization': [[[5480, 292, -590, -81, 6, 1], 1]], 'hecke_orbit_code': 90071992580967392, 'p': 29}
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id: 2976385
{'charpoly_factorization': [[[-1888, -432, 480, -40, -10, 1], 1]], 'hecke_orbit_code': 90071992580967392, 'p': 31}
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id: 2976386
{'charpoly_factorization': [[[2216, 2744, -362, -98, 6, 1], 1]], 'hecke_orbit_code': 90071992580967392, 'p': 37}
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id: 2976387
{'charpoly_factorization': [[[320, -128, -160, -12, 8, 1], 1]], 'hecke_orbit_code': 90071992580967392, 'p': 41}
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id: 2976388
{'charpoly_factorization': [[[-1328, 4384, -916, -108, 12, 1], 1]], 'hecke_orbit_code': 90071992580967392, 'p': 43}
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id: 2976389
{'charpoly_factorization': [[[6592, -4480, 804, 20, -16, 1], 1]], 'hecke_orbit_code': 90071992580967392, 'p': 47}
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id: 2976390
{'charpoly_factorization': [[[28486, 1718, -1900, -79, 18, 1], 1]], 'hecke_orbit_code': 90071992580967392, 'p': 53}
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id: 2976391
{'charpoly_factorization': [[[392, 252, -138, -55, 8, 1], 1]], 'hecke_orbit_code': 90071992580967392, 'p': 59}
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id: 2976392
{'charpoly_factorization': [[[64, 64, -20, -28, -2, 1], 1]], 'hecke_orbit_code': 90071992580967392, 'p': 61}
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id: 2976393
{'charpoly_factorization': [[[-50, -504, -514, -79, 10, 1], 1]], 'hecke_orbit_code': 90071992580967392, 'p': 67}
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id: 2976394
{'charpoly_factorization': [[[22016, -5888, -4088, -196, 18, 1], 1]], 'hecke_orbit_code': 90071992580967392, 'p': 71}
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id: 2976395
{'charpoly_factorization': [[[-5480, -1396, 646, 253, 28, 1], 1]], 'hecke_orbit_code': 90071992580967392, 'p': 73}
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id: 2976396
{'charpoly_factorization': [[[-3296, -2160, 1008, -40, -14, 1], 1]], 'hecke_orbit_code': 90071992580967392, 'p': 79}
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id: 2976397
{'charpoly_factorization': [[[-5840, 4928, -172, -204, 8, 1], 1]], 'hecke_orbit_code': 90071992580967392, 'p': 83}
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id: 2976398
{'charpoly_factorization': [[[-736, -816, 64, 232, 30, 1], 1]], 'hecke_orbit_code': 90071992580967392, 'p': 89}
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id: 2976399
{'charpoly_factorization': [[[100552, 3520, -2734, -126, 18, 1], 1]], 'hecke_orbit_code': 90071992580967392, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 21, 'label': '3040.2.a.u', 'level': 3040, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 64263133
{'hecke_orbit_code': 90071992580967392, 'n': 1, 'trace_an': 5}
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id: 64263134
{'hecke_orbit_code': 90071992580967392, 'n': 2, 'trace_an': 0}
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id: 64263135
{'hecke_orbit_code': 90071992580967392, 'n': 3, 'trace_an': -4}
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id: 64263136
{'hecke_orbit_code': 90071992580967392, 'n': 4, 'trace_an': 0}
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id: 64263137
{'hecke_orbit_code': 90071992580967392, 'n': 5, 'trace_an': -5}
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id: 64263138
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