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{'Nk2': 26100, 'analytic_conductor': 52.10238731888545, 'analytic_rank': 1, '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': 12, 'field_disc': 130449702741985198080, 'field_disc_factorization': [[2, 18], [3, 2], [5, 1], [67, 2], [49633, 2]], 'field_poly': [45, 0, -496, 0, 792, 0, -502, 0, 148, 0, -20, 0, 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': 1, 'hecke_cutters': [[2, [45, 0, -496, 0, 792, 0, -502, 0, 148, 0, -20, 0, 1]], [7, [180, 0, -3036, 0, 4517, 0, -2412, 0, 518, 0, -40, 0, 1]], [11, [30, 24, -119, -130, -16, 6, 1]]], 'hecke_orbit': 57, 'hecke_orbit_code': 252201579166308733, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 16, 'hecke_ring_index_factorization': [[2, 4]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0]], '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.ce', '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': '1305.2.c.k', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{2}+(1+\\beta _{2})q^{4}+\\beta _{4}q^{7}+(\\beta _{1}+\\cdots)q^{8}+\\cdots', 'related_objects': [], 'relative_dim': 12, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'ALdims': [21, 21, 23, 23, 33, 30, 32, 38], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [5, 6, 6, 6, 6, 6, 6, 6], 'ALdims_old': [79, 96, 90, 84, 78, 81, 77, 71], '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, 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0, -222, -138, 0, 188, 0, 0, 504, -184, 0, 0, -72, 0, -354, 364, 0, 35, -80, 0, 180, 0, 0, -154, -27, 0, 0, 224, 0, -56, -112, 0, 286, -140, 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: 49080430
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 252201579166308733, 'source_is_minimal': False, 'source_label': '6525.2.a.ce.1.4', 'source_level': 6525, 'target_conrey_index': 1, 'target_dim': 12, 'target_embedding_index': 4, 'target_hecke_orbit_code': 252201579166308733, 'target_is_minimal': False, 'target_label': '6525.2.a.ce.1.4', 'target_level': 6525, 'twist_class_label': '1305.2.c.k.784.4', 'twist_class_level': 1305, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 49080431
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 252201579166308733, 'source_is_minimal': False, 'source_label': '6525.2.a.ce.1.4', 'source_level': 6525, 'target_conrey_index': 1, 'target_dim': 12, 'target_embedding_index': 9, 'target_hecke_orbit_code': 256705178793679229, 'target_is_minimal': False, 'target_label': '6525.2.a.cf.1.9', 'target_level': 6525, 'twist_class_label': '1305.2.c.k.784.4', 'twist_class_level': 1305, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 49080432
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 252201579166308733, 'source_is_minimal': False, 'source_label': '6525.2.a.ce.1.4', 'source_level': 6525, 'target_conrey_index': 784, 'target_dim': 12, 'target_embedding_index': 4, 'target_hecke_orbit_code': 45036133746214169, 'target_is_minimal': True, 'target_label': '1305.2.c.k.784.4', 'target_level': 1305, 'twist_class_label': '1305.2.c.k.784.4', 'twist_class_level': 1305, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 49080433
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 252201579166308733, 'source_is_minimal': False, 'source_label': '6525.2.a.ce.1.4', 'source_level': 6525, 'target_conrey_index': 784, 'target_dim': 12, 'target_embedding_index': 9, 'target_hecke_orbit_code': 45036133746214169, 'target_is_minimal': True, 'target_label': '1305.2.c.k.784.9', 'target_level': 1305, 'twist_class_label': '1305.2.c.k.784.4', 'twist_class_level': 1305, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 49080434
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 252201579166308733, 'source_is_minimal': False, 'source_label': '6525.2.a.ce.1.4', 'source_level': 6525, 'target_conrey_index': 1, 'target_dim': 12, 'target_embedding_index': 9, 'target_hecke_orbit_code': 252201579166308733, 'target_is_minimal': False, 'target_label': '6525.2.a.ce.1.9', 'target_level': 6525, 'twist_class_label': '1305.2.c.k.784.4', 'twist_class_level': 1305, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 49080435
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 252201579166308733, 'source_is_minimal': False, 'source_label': '6525.2.a.ce.1.4', 'source_level': 6525, 'target_conrey_index': 784, 'target_dim': 12, 'target_embedding_index': 9, 'target_hecke_orbit_code': 49539733373584665, 'target_is_minimal': True, 'target_label': '1305.2.c.l.784.9', 'target_level': 1305, 'twist_class_label': '1305.2.c.k.784.4', 'twist_class_level': 1305, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 49080436
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 252201579166308733, 'source_is_minimal': False, 'source_label': '6525.2.a.ce.1.4', 'source_level': 6525, 'target_conrey_index': 784, 'target_dim': 12, 'target_embedding_index': 4, 'target_hecke_orbit_code': 49539733373584665, 'target_is_minimal': True, 'target_label': '1305.2.c.l.784.4', 'target_level': 1305, 'twist_class_label': '1305.2.c.k.784.4', 'twist_class_level': 1305, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 49080437
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 252201579166308733, 'source_is_minimal': False, 'source_label': '6525.2.a.ce.1.4', 'source_level': 6525, 'target_conrey_index': 1, 'target_dim': 12, 'target_embedding_index': 4, 'target_hecke_orbit_code': 256705178793679229, 'target_is_minimal': False, 'target_label': '6525.2.a.cf.1.4', 'target_level': 6525, 'twist_class_label': '1305.2.c.k.784.4', 'twist_class_level': 1305, '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: 4213775
{'charpoly_factorization': [[[45, 0, -496, 0, 792, 0, -502, 0, 148, 0, -20, 0, 1], 1]], 'hecke_orbit_code': 252201579166308733, 'p': 2}
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id: 4213776
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 252201579166308733, 'p': 3}
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id: 4213777
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 252201579166308733, 'p': 5}
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id: 4213778
{'charpoly_factorization': [[[180, 0, -3036, 0, 4517, 0, -2412, 0, 518, 0, -40, 0, 1], 1]], 'hecke_orbit_code': 252201579166308733, 'p': 7}
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id: 4213779
{'charpoly_factorization': [[[30, 24, -119, -130, -16, 6, 1], 2]], 'hecke_orbit_code': 252201579166308733, 'p': 11}
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id: 4213780
{'charpoly_factorization': [[[2880, 0, -29136, 0, 77141, 0, -37212, 0, 3242, 0, -100, 0, 1], 1]], 'hecke_orbit_code': 252201579166308733, 'p': 13}
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id: 4213781
{'charpoly_factorization': [[[8000, 0, -161104, 0, 815061, 0, -143736, 0, 7250, 0, -144, 0, 1], 1]], 'hecke_orbit_code': 252201579166308733, 'p': 17}
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id: 4213782
{'charpoly_factorization': [[[9832, 5064, -412, -488, -30, 10, 1], 2]], 'hecke_orbit_code': 252201579166308733, 'p': 19}
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id: 4213783
{'charpoly_factorization': [[[2880, 0, -24256, 0, 30976, 0, -11616, 0, 1728, 0, -96, 0, 1], 1]], 'hecke_orbit_code': 252201579166308733, 'p': 23}
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id: 4213784
{'charpoly_factorization': [[[-1, 1], 12]], 'hecke_orbit_code': 252201579166308733, 'p': 29}
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id: 4213785
{'charpoly_factorization': [[[33224, 16440, 136, -884, -88, 8, 1], 2]], 'hecke_orbit_code': 252201579166308733, 'p': 31}
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id: 4213786
{'charpoly_factorization': [[[16231322880, 0, -2465721984, 0, 137186576, 0, -3698592, 0, 51932, 0, -364, 0, 1], 1]], 'hecke_orbit_code': 252201579166308733, 'p': 37}
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id: 4213787
{'charpoly_factorization': [[[-25920, 15552, 288, -960, -24, 16, 1], 2]], 'hecke_orbit_code': 252201579166308733, 'p': 41}
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id: 4213788
{'charpoly_factorization': [[[588395520, 0, -613744896, 0, 65953616, 0, -2619536, 0, 46348, 0, -360, 0, 1], 1]], 'hecke_orbit_code': 252201579166308733, 'p': 43}
-
id: 4213789
{'charpoly_factorization': [[[8000, 0, -161104, 0, 815061, 0, -143736, 0, 7250, 0, -144, 0, 1], 1]], 'hecke_orbit_code': 252201579166308733, 'p': 47}
-
id: 4213790
{'charpoly_factorization': [[[550830080, 0, -388716544, 0, 43111376, 0, -1828848, 0, 35624, 0, -316, 0, 1], 1]], 'hecke_orbit_code': 252201579166308733, 'p': 53}
-
id: 4213791
{'charpoly_factorization': [[[204480, 32736, -10556, -2192, 18, 22, 1], 2]], 'hecke_orbit_code': 252201579166308733, 'p': 59}
-
id: 4213792
{'charpoly_factorization': [[[48, 320, 660, 564, 204, 26, 1], 2]], 'hecke_orbit_code': 252201579166308733, 'p': 61}
-
id: 4213793
{'charpoly_factorization': [[[24224976180, 0, -5260789404, 0, 366064037, 0, -9870972, 0, 113510, 0, -568, 0, 1], 1]], 'hecke_orbit_code': 252201579166308733, 'p': 67}
-
id: 4213794
{'charpoly_factorization': [[[-539040, 83232, 18860, -2020, -252, 10, 1], 2]], 'hecke_orbit_code': 252201579166308733, 'p': 71}
-
id: 4213795
{'charpoly_factorization': [[[33592320, 0, -79190784, 0, 13683024, 0, -853504, 0, 22956, 0, -260, 0, 1], 1]], 'hecke_orbit_code': 252201579166308733, 'p': 73}
-
id: 4213796
{'charpoly_factorization': [[[-17128, -2664, 8452, 96, -234, 2, 1], 2]], 'hecke_orbit_code': 252201579166308733, 'p': 79}
-
id: 4213797
{'charpoly_factorization': [[[314265920, 0, -864623104, 0, 97309440, 0, -3772512, 0, 62912, 0, -444, 0, 1], 1]], 'hecke_orbit_code': 252201579166308733, 'p': 83}
-
id: 4213798
{'charpoly_factorization': [[[540, 1332, -4099, 678, 350, 34, 1], 2]], 'hecke_orbit_code': 252201579166308733, 'p': 89}
-
id: 4213799
{'charpoly_factorization': [[[302330880, 0, -225236736, 0, 49317072, 0, -3829168, 0, 84520, 0, -572, 0, 1], 1]], 'hecke_orbit_code': 252201579166308733, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 57, 'label': '6525.2.a.ce', 'level': 6525, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 71936569
{'hecke_orbit_code': 252201579166308733, 'n': 1, 'trace_an': 12}
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id: 71936570
{'hecke_orbit_code': 252201579166308733, 'n': 2, 'trace_an': 0}
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id: 71936571
{'hecke_orbit_code': 252201579166308733, 'n': 3, 'trace_an': 0}
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id: 71936572
{'hecke_orbit_code': 252201579166308733, 'n': 4, 'trace_an': 16}
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id: 71936573
{'hecke_orbit_code': 252201579166308733, 'n': 5, 'trace_an': 0}
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id: 71936574
{'hecke_orbit_code': 252201579166308733, 'n': 6, 'trace_an': 0}
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id: 71936575
{'hecke_orbit_code': 252201579166308733, 'n': 7, 'trace_an': 0}
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id: 71936576
{'hecke_orbit_code': 252201579166308733, 'n': 8, 'trace_an': 0}
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id: 71936577
{'hecke_orbit_code': 252201579166308733, 'n': 9, 'trace_an': 0}
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id: 71936578
{'hecke_orbit_code': 252201579166308733, 'n': 10, 'trace_an': 0}
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id: 71936579
{'hecke_orbit_code': 252201579166308733, 'n': 11, 'trace_an': -12}
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id: 71936580
{'hecke_orbit_code': 252201579166308733, 'n': 12, 'trace_an': 0}
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id: 71936581
{'hecke_orbit_code': 252201579166308733, 'n': 13, 'trace_an': 0}
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id: 71936582
{'hecke_orbit_code': 252201579166308733, 'n': 14, 'trace_an': -16}
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id: 71936583
{'hecke_orbit_code': 252201579166308733, 'n': 15, 'trace_an': 0}
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id: 71936584
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