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{'Nk2': 20700, 'analytic_conductor': 41.322583046012596, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 1], [5, 1], [23, 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': [5175, 1, [4601, 3727, 2926], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 6, 'field_disc': 98838128, 'field_disc_factorization': [[2, 4], [6177383, 1]], 'field_poly': [-1, 5, 16, -1, -10, -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': [[2, [-12, 4, 30, 0, -11, 0, 1]], [7, [236, 116, -201, -134, -12, 6, 1]], [11, [576, -928, 100, 196, -42, -4, 1]]], 'hecke_orbit': 52, 'hecke_orbit_code': 229683581029454903, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '5175.2.a.bz', 'level': 5175, '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': [3, 5, 23], 'level_radical': 345, 'minimal_twist': '1035.2.a.p', 'nf_label': '6.6.98838128.1', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{2}q^{2}+(2+\\beta _{4})q^{4}+(-1-\\beta _{3})q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '5175.2.a', 'trace_display': [0, 0, 0, -6], 'trace_hash': 1754711997788778188, 'trace_moments': 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-0.34667321887775093, -0.1870137081771569, -0.21514765620856863, -0.3519873253814097, -0.3457519390119495, -0.3949422730810666, -0.20600152434295263, -0.25813350367357396], 'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 4, 'dual_embedding_m': 4, 'embedding_index': 4, 'embedding_m': 4, 'embedding_root_imag': 0.0, 'embedding_root_real': 3.52268678864774, 'hecke_orbit': 52, 'hecke_orbit_code': 229683581029454903, 'label': '5175.2.a.bz.1.4', 'level': 5175, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [17, 17, 17, 17, 29, 20, 25, 31], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [5, 6, 6, 6, 6, 6, 6, 6], 'ALdims_old': [62, 79, 79, 61, 58, 67, 62, 56], 'Nk2': 20700, 'analytic_conductor': 41.322583046012596, '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': [5175, 1, [4601, 3727, 2926], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 697, 'dim': 173, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7, 11], 'hecke_orbit_code': 33559607, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 10, 10], 'label': '5175.2.a', 'level': 5175, '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': [3, 5, 23], 'level_radical': 345, 'mf_dim': 744, 'mf_new_dim': 173, 'num_forms': 62, 'plus_dim': 79, 'prim_orbit_index': 1, 'relative_dim': 173, 'sturm_bound': 1440, 'trace_bound': 11, 'trace_display': [-2, 0, 0, 2], 'traces': [173, -2, 0, 170, 0, 0, 2, -15, 0, 0, 2, 0, -8, -20, 0, 164, -4, 0, -4, 0, 0, 10, -3, 0, 0, 25, 0, -10, 24, 0, -12, -12, 0, 10, 0, 0, -24, 18, 0, 0, -4, 0, 20, -8, 0, -2, -16, 0, 161, 0, 0, -1, 10, 0, 0, -2, 0, 17, -36, 0, 22, 37, 0, 191, 0, 0, 2, -28, 0, 0, -16, 0, 8, 40, 0, -6, 36, 0, -68, 0, 0, -17, -22, 0, 0, 12, 0, 10, -2, 0, -90, -6, 0, -25, 0, 0, 12, -46, 0, 0, 70, 0, -46, 42, 0, 60, 24, 0, 46, 0, 0, 12, -4, 0, 0, 107, 0, 4, 40, 0, 193, -8, 0, -83, 0, 0, -8, 2, 0, 0, 44, 0, -16, 50, 0, 108, -14, 0, -64, 0, 0, 111, 6, 0, 0, 1, 0, 2, 82, 0, -116, 104, 0, -16, 0, 0, 54, -70, 0, 0, 6, 0, -36, -41, 0, -76, -12, 0, 205, 0, 0, 64, 18, 0, 0, -94, 0, 86, 48, 0, 92, 68, 0, 3, 0, 0, 12, 147, 0, 0, 6, 0, -32, 78, 0, 334, -20, 0, -38, 0, 0, 28, 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0, -135, 0, -4, -72, 0, -169, -482, 0, 334, 0, 0, 132, 1, 0, 0, 208, 0, 106, -461, 0, 92, -256, 0, -24, 0, 0, -203, -108, 0, 0, 712, 0, 458, 4, 0, -356, 65, 0, -32, 0, 0, 130, 153, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 49048501
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 4, 'source_hecke_orbit_code': 229683581029454903, 'source_is_minimal': False, 'source_label': '5175.2.a.bz.1.4', 'source_level': 5175, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 4, 'target_hecke_orbit_code': 229683581029454903, 'target_is_minimal': False, 'target_label': '5175.2.a.bz.1.4', 'target_level': 5175, 'twist_class_label': '1035.2.a.p.1.3', 'twist_class_level': 1035, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 49048502
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 4, 'source_hecke_orbit_code': 229683581029454903, 'source_is_minimal': False, 'source_label': '5175.2.a.bz.1.4', 'source_level': 5175, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 225179981402084407, 'target_is_minimal': False, 'target_label': '5175.2.a.by.1.3', 'target_level': 5175, 'twist_class_label': '1035.2.a.p.1.3', 'twist_class_level': 1035, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 49048503
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 4, 'source_hecke_orbit_code': 229683581029454903, 'source_is_minimal': False, 'source_label': '5175.2.a.bz.1.4', 'source_level': 5175, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 67553994444112907, 'target_is_minimal': True, 'target_label': '1035.2.a.p.1.3', 'target_level': 1035, 'twist_class_label': '1035.2.a.p.1.3', 'twist_class_level': 1035, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 49048504
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 4, 'source_hecke_orbit_code': 229683581029454903, 'source_is_minimal': False, 'source_label': '5175.2.a.bz.1.4', 'source_level': 5175, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 4, 'target_hecke_orbit_code': 72057594071483403, 'target_is_minimal': True, 'target_label': '1035.2.a.q.1.4', 'target_level': 1035, 'twist_class_label': '1035.2.a.p.1.3', 'twist_class_level': 1035, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3819525
{'charpoly_factorization': [[[-12, 4, 30, 0, -11, 0, 1], 1]], 'hecke_orbit_code': 229683581029454903, 'p': 2}
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id: 3819526
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 229683581029454903, 'p': 3}
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id: 3819527
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 229683581029454903, 'p': 5}
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id: 3819528
{'charpoly_factorization': [[[236, 116, -201, -134, -12, 6, 1], 1]], 'hecke_orbit_code': 229683581029454903, 'p': 7}
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id: 3819529
{'charpoly_factorization': [[[576, -928, 100, 196, -42, -4, 1], 1]], 'hecke_orbit_code': 229683581029454903, 'p': 11}
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id: 3819530
{'charpoly_factorization': [[[496, 96, -716, -228, 18, 12, 1], 1]], 'hecke_orbit_code': 229683581029454903, 'p': 13}
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id: 3819531
{'charpoly_factorization': [[[108, 348, 131, -120, -36, 4, 1], 1]], 'hecke_orbit_code': 229683581029454903, 'p': 17}
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id: 3819532
{'charpoly_factorization': [[[64, -2192, -348, 484, -50, -8, 1], 1]], 'hecke_orbit_code': 229683581029454903, 'p': 19}
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id: 3819533
{'charpoly_factorization': [[[1, 1], 6]], 'hecke_orbit_code': 229683581029454903, 'p': 23}
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id: 3819534
{'charpoly_factorization': [[[3408, 3224, 365, -274, -46, 6, 1], 1]], 'hecke_orbit_code': 229683581029454903, 'p': 29}
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id: 3819535
{'charpoly_factorization': [[[64, -104, -71, 64, 6, -8, 1], 1]], 'hecke_orbit_code': 229683581029454903, 'p': 31}
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id: 3819536
{'charpoly_factorization': [[[-63824, -48252, -12641, -1014, 104, 22, 1], 1]], 'hecke_orbit_code': 229683581029454903, 'p': 37}
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id: 3819537
{'charpoly_factorization': [[[-7056, 18016, -1267, -1086, 2, 18, 1], 1]], 'hecke_orbit_code': 229683581029454903, 'p': 41}
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id: 3819538
{'charpoly_factorization': [[[-12096, -320, 3232, -416, -96, 8, 1], 1]], 'hecke_orbit_code': 229683581029454903, 'p': 43}
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id: 3819539
{'charpoly_factorization': [[[6912, 23520, 1132, -1060, -74, 12, 1], 1]], 'hecke_orbit_code': 229683581029454903, 'p': 47}
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id: 3819540
{'charpoly_factorization': [[[1212, -5948, 6739, -472, -180, 4, 1], 1]], 'hecke_orbit_code': 229683581029454903, 'p': 53}
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id: 3819541
{'charpoly_factorization': [[[348, -3160, 1869, -82, -90, 6, 1], 1]], 'hecke_orbit_code': 229683581029454903, 'p': 59}
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id: 3819542
{'charpoly_factorization': [[[16784, -18208, 4044, 292, -126, 0, 1], 1]], 'hecke_orbit_code': 229683581029454903, 'p': 61}
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id: 3819543
{'charpoly_factorization': [[[-19892, 9780, 7543, -978, -172, 10, 1], 1]], 'hecke_orbit_code': 229683581029454903, 'p': 67}
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id: 3819544
{'charpoly_factorization': [[[308076, 217168, -2491, -4450, -122, 22, 1], 1]], 'hecke_orbit_code': 229683581029454903, 'p': 71}
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id: 3819545
{'charpoly_factorization': [[[-336, 512, -92, -124, 18, 12, 1], 1]], 'hecke_orbit_code': 229683581029454903, 'p': 73}
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id: 3819546
{'charpoly_factorization': [[[-12288, -1024, 7168, 1344, -256, -4, 1], 1]], 'hecke_orbit_code': 229683581029454903, 'p': 79}
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id: 3819547
{'charpoly_factorization': [[[31536, 24936, -4813, -2432, 0, 24, 1], 1]], 'hecke_orbit_code': 229683581029454903, 'p': 83}
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id: 3819548
{'charpoly_factorization': [[[-575232, 182656, 52800, -2608, -444, 8, 1], 1]], 'hecke_orbit_code': 229683581029454903, 'p': 89}
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id: 3819549
{'charpoly_factorization': [[[93952, 73408, 5168, -4720, -364, 12, 1], 1]], 'hecke_orbit_code': 229683581029454903, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 52, 'label': '5175.2.a.bz', 'level': 5175, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 71647351
{'hecke_orbit_code': 229683581029454903, 'n': 1, 'trace_an': 6}
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id: 71647352
{'hecke_orbit_code': 229683581029454903, 'n': 2, 'trace_an': 0}
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id: 71647353
{'hecke_orbit_code': 229683581029454903, 'n': 3, 'trace_an': 0}
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id: 71647354
{'hecke_orbit_code': 229683581029454903, 'n': 4, 'trace_an': 10}
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id: 71647355
{'hecke_orbit_code': 229683581029454903, 'n': 5, 'trace_an': 0}
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id: 71647356
{'hecke_orbit_code': 229683581029454903, 'n': 6, 'trace_an': 0}
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id: 71647357
{'hecke_orbit_code': 229683581029454903, 'n': 7, 'trace_an': -6}
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id: 71647358
{'hecke_orbit_code': 229683581029454903, 'n': 8, 'trace_an': 0}
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id: 71647359
{'hecke_orbit_code': 229683581029454903, 'n': 9, 'trace_an': 0}
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id: 71647360
{'hecke_orbit_code': 229683581029454903, 'n': 10, 'trace_an': 0}
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id: 71647361
{'hecke_orbit_code': 229683581029454903, 'n': 11, 'trace_an': 4}
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