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{'Nk2': 26100, 'analytic_conductor': 52.10238731888545, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [5, 1], [29, 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': [6525, 1, [1451, 4177, 901], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 8, 'field_disc': 17965413472428, 'field_disc_factorization': [[2, 2], [3, 3], [10909, 1], [15248549, 1]], 'field_poly': [2, 14, -15, -62, 36, 23, -12, -2, 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, [2, 14, -15, -62, 36, 23, -12, -2, 1]], [7, [-2817, -5898, -3428, 270, 667, 44, -45, -2, 1]], [11, [-1140, -6052, -21, 2382, 265, -238, -36, 6, 1]]], 'hecke_orbit': 52, 'hecke_orbit_code': 229683581029456253, 'hecke_ring_generator_nbound': 2, '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_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '6525.2.a.bz', 'level': 6525, '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, 29], 'level_radical': 435, 'minimal_twist': '2175.2.a.bc', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{2}+(2+\\beta _{2})q^{4}+(-\\beta _{1}+\\beta _{4}+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '6525.2.a', 'trace_display': [2, 0, 0, 2], 'trace_hash': 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mf_newspaces • Show schema
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{'ALdims': [21, 21, 23, 23, 33, 30, 32, 38], 'Nk2': 26100, 'analytic_conductor': 52.10238731888545, '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': [6525, 1, [1451, 4177, 901], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 877, 'dim': 221, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7, 11], 'hecke_orbit_code': 33560957, 'hecke_orbit_dims': [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, 2, 3, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 7, 7, 8, 8, 9, 9, 9, 9, 12, 12], 'label': '6525.2.a', 'level': 6525, '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, 29], 'level_radical': 435, 'mf_dim': 924, 'mf_new_dim': 221, 'num_forms': 58, 'plus_dim': 106, 'prim_orbit_index': 1, 'relative_dim': 221, 'sturm_bound': 1800, 'trace_bound': 11, 'trace_display': [-1, 0, 0, -4], 'traces': [221, -1, 0, 223, 0, 0, -4, -9, 0, 0, -2, 0, -4, -24, 0, 227, -10, 0, -4, 0, 0, 6, 4, 0, 0, -8, 0, -24, 3, 0, -6, -9, 0, -2, 0, 0, -6, -8, 0, 0, -2, 0, 26, 10, 0, 20, -14, 0, 189, 0, 0, 28, 20, 0, 0, -48, 0, 1, -36, 0, 6, 10, 0, 223, 0, 0, 0, -46, 0, 0, -76, 0, 26, -2, 0, -44, -44, 0, -30, 0, 0, 22, -36, 0, 0, -90, 0, -26, -30, 0, -52, 20, 0, -74, 0, 0, -14, 23, 0, 0, 10, 0, -32, 8, 0, -36, -12, 0, 68, 0, 0, -48, 2, 0, 0, 9, 0, 4, 56, 0, 267, 50, 0, -190, 0, 0, -28, -145, 0, 0, 32, 0, 20, 48, 0, -26, 26, 0, 8, 0, 0, -64, 46, 0, 0, -74, 0, 34, -24, 0, -96, 44, 0, 20, 0, 0, 38, 26, 0, 0, -40, 0, 22, 78, 0, -84, 48, 0, 233, 0, 0, 86, 90, 0, 0, -58, 0, 74, -92, 0, 68, -52, 0, -40, 0, 0, 44, -38, 0, 0, 36, 0, -50, 106, 0, 279, -34, 0, 20, 0, 0, 110, -8, 0, 0, 172, 0, 80, -140, 0, 30, 56, 0, 84, 0, 0, -4, 8, 0, 0, 16, 0, -40, 36, 0, -94, -36, 0, -18, 0, 0, -3, 88, 0, 0, 12, 0, 76, 16, 0, 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0, -236, 0, 0, 38, 338, 0, 0, 34, 0, -204, 176, 0, -404, 38, 0, -384, 0, 0, 102, -580, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 49049882
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 229683581029456253, 'source_is_minimal': False, 'source_label': '6525.2.a.bz.1.1', 'source_level': 6525, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 229683581029456253, 'target_is_minimal': False, 'target_label': '6525.2.a.bz.1.1', 'target_level': 6525, 'twist_class_label': '2175.2.a.bc.1.8', 'twist_class_level': 2175, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 49049883
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 229683581029456253, 'source_is_minimal': False, 'source_label': '6525.2.a.bz.1.1', 'source_level': 6525, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 8, 'target_hecke_orbit_code': 126100789599930495, 'target_is_minimal': True, 'target_label': '2175.2.a.bc.1.8', 'target_level': 2175, 'twist_class_label': '2175.2.a.bc.1.8', 'twist_class_level': 2175, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 49049884
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 229683581029456253, 'source_is_minimal': False, 'source_label': '6525.2.a.bz.1.1', 'source_level': 6525, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 8, 'target_hecke_orbit_code': 225179981402085757, 'target_is_minimal': False, 'target_label': '6525.2.a.by.1.8', 'target_level': 6525, 'twist_class_label': '2175.2.a.bc.1.8', 'twist_class_level': 2175, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 49049885
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 229683581029456253, 'source_is_minimal': False, 'source_label': '6525.2.a.bz.1.1', 'source_level': 6525, 'target_conrey_index': 349, 'target_dim': 16, 'target_embedding_index': 16, 'target_hecke_orbit_code': 67554131883067519, 'target_is_minimal': False, 'target_label': '2175.2.c.p.349.16', 'target_level': 2175, 'twist_class_label': '2175.2.a.bc.1.8', 'twist_class_level': 2175, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 49049886
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 229683581029456253, 'source_is_minimal': False, 'source_label': '6525.2.a.bz.1.1', 'source_level': 6525, 'target_conrey_index': 349, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67554131883067519, 'target_is_minimal': False, 'target_label': '2175.2.c.p.349.1', 'target_level': 2175, 'twist_class_label': '2175.2.a.bc.1.8', 'twist_class_level': 2175, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 49049887
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 229683581029456253, 'source_is_minimal': False, 'source_label': '6525.2.a.bz.1.1', 'source_level': 6525, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 130604389227300991, 'target_is_minimal': True, 'target_label': '2175.2.a.bd.1.1', 'target_level': 2175, 'twist_class_label': '2175.2.a.bc.1.8', 'twist_class_level': 2175, '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: 4213500
{'charpoly_factorization': [[[2, 14, -15, -62, 36, 23, -12, -2, 1], 1]], 'hecke_orbit_code': 229683581029456253, 'p': 2}
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id: 4213501
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 229683581029456253, 'p': 3}
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id: 4213502
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 229683581029456253, 'p': 5}
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id: 4213503
{'charpoly_factorization': [[[-2817, -5898, -3428, 270, 667, 44, -45, -2, 1], 1]], 'hecke_orbit_code': 229683581029456253, 'p': 7}
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id: 4213504
{'charpoly_factorization': [[[-1140, -6052, -21, 2382, 265, -238, -36, 6, 1], 1]], 'hecke_orbit_code': 229683581029456253, 'p': 11}
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id: 4213505
{'charpoly_factorization': [[[-10503, 31260, 1746, -7830, 863, 410, -61, -6, 1], 1]], 'hecke_orbit_code': 229683581029456253, 'p': 13}
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id: 4213506
{'charpoly_factorization': [[[18954, -36450, 22599, -2866, -1919, 596, -10, -12, 1], 1]], 'hecke_orbit_code': 229683581029456253, 'p': 17}
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id: 4213507
{'charpoly_factorization': [[[205760, -18016, -43040, 2168, 3212, -64, -99, 0, 1], 1]], 'hecke_orbit_code': 229683581029456253, 'p': 19}
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id: 4213508
{'charpoly_factorization': [[[-14976, 107136, 17920, -15344, -992, 800, -14, -14, 1], 1]], 'hecke_orbit_code': 229683581029456253, 'p': 23}
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id: 4213509
{'charpoly_factorization': [[[1, 1], 8]], 'hecke_orbit_code': 229683581029456253, 'p': 29}
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id: 4213510
{'charpoly_factorization': [[[1225792, 180064, -297584, -40448, 11644, 1096, -179, -8, 1], 1]], 'hecke_orbit_code': 229683581029456253, 'p': 31}
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id: 4213511
{'charpoly_factorization': [[[20929536, 2764800, -1354560, -110176, 32416, 1208, -308, -4, 1], 1]], 'hecke_orbit_code': 229683581029456253, 'p': 37}
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id: 4213512
{'charpoly_factorization': [[[-2160, 13248, -14871, -990, 3471, -292, -137, 2, 1], 1]], 'hecke_orbit_code': 229683581029456253, 'p': 41}
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id: 4213513
{'charpoly_factorization': [[[486720, 391872, -150032, -32712, 9520, 674, -195, -2, 1], 1]], 'hecke_orbit_code': 229683581029456253, 'p': 43}
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id: 4213514
{'charpoly_factorization': [[[2390796, 993600, -307269, -100902, 11847, 2088, -188, -12, 1], 1]], 'hecke_orbit_code': 229683581029456253, 'p': 47}
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id: 4213515
{'charpoly_factorization': [[[10368, -256, -18208, -336, 7696, 780, -210, -4, 1], 1]], 'hecke_orbit_code': 229683581029456253, 'p': 53}
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id: 4213516
{'charpoly_factorization': [[[10368, -69120, 83232, 105504, 5736, -2928, -146, 18, 1], 1]], 'hecke_orbit_code': 229683581029456253, 'p': 59}
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id: 4213517
{'charpoly_factorization': [[[386112, 305216, -301520, -74848, 12908, 1988, -211, -12, 1], 1]], 'hecke_orbit_code': 229683581029456253, 'p': 61}
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id: 4213518
{'charpoly_factorization': [[[-48194129, 10574858, 1876916, -461958, -15609, 6144, -85, -26, 1], 1]], 'hecke_orbit_code': 229683581029456253, 'p': 67}
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id: 4213519
{'charpoly_factorization': [[[-16256, 34880, 84384, 5984, -6832, -884, 118, 24, 1], 1]], 'hecke_orbit_code': 229683581029456253, 'p': 71}
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id: 4213520
{'charpoly_factorization': [[[19650816, -7484544, -1030848, 321088, 25952, -3920, -284, 14, 1], 1]], 'hecke_orbit_code': 229683581029456253, 'p': 73}
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id: 4213521
{'charpoly_factorization': [[[2032128, -241920, -570816, -47040, 19584, 1488, -232, -10, 1], 1]], 'hecke_orbit_code': 229683581029456253, 'p': 79}
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id: 4213522
{'charpoly_factorization': [[[-144320256, -8597760, 8345408, -321120, -105376, 8184, 252, -40, 1], 1]], 'hecke_orbit_code': 229683581029456253, 'p': 83}
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id: 4213523
{'charpoly_factorization': [[[-12296640, 38352, 2424369, 327874, -47277, -6952, 82, 34, 1], 1]], 'hecke_orbit_code': 229683581029456253, 'p': 89}
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id: 4213524
{'charpoly_factorization': [[[-9904960, -1554112, 1165312, 16112, -45280, 4286, 117, -30, 1], 1]], 'hecke_orbit_code': 229683581029456253, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 52, 'label': '6525.2.a.bz', 'level': 6525, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 71659993
{'hecke_orbit_code': 229683581029456253, 'n': 1, 'trace_an': 8}
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id: 71659994
{'hecke_orbit_code': 229683581029456253, 'n': 2, 'trace_an': 2}
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id: 71659995
{'hecke_orbit_code': 229683581029456253, 'n': 3, 'trace_an': 0}
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id: 71659996
{'hecke_orbit_code': 229683581029456253, 'n': 4, 'trace_an': 12}
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id: 71659997
{'hecke_orbit_code': 229683581029456253, 'n': 5, 'trace_an': 0}
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id: 71659998
{'hecke_orbit_code': 229683581029456253, 'n': 6, 'trace_an': 0}
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id: 71659999
{'hecke_orbit_code': 229683581029456253, 'n': 7, 'trace_an': 2}
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