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{'Nk2': 28900, 'analytic_conductor': 57.69191546037508, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[5, -1], [17, 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': [7225, 1, [2602, 2026], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 8, 'field_disc': 4217732978944, 'field_disc_factorization': [[2, 8], [47, 2], [2731, 2]], 'field_poly': [16, 0, -47, 0, 40, 0, -12, 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, [16, 0, -47, 0, 40, 0, -12, 0, 1]], [3, [4, 0, -31, 0, 64, 0, -16, 0, 1]], [7, [16, 0, -47, 0, 40, 0, -12, 0, 1]], [11, [-58, 65, -11, -5, 1]]], 'hecke_orbit': 37, 'hecke_orbit_code': 162129586618899513, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], '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': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '7225.2.a.bk', 'level': 7225, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [5, 17], 'level_radical': 85, 'minimal_twist': '1445.2.b.c', 'nf_label': '8.8.4217732978944.3', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{2}-\\beta _{4}q^{3}+(1+\\beta _{2})q^{4}+(1-\\beta _{5}+\\cdots)q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '7225.2.a', 'trace_display': [0, 0, 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mf_newspaces • Show schema
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{'ALdims': [96, 100, 109, 101], 'ALdims_eis_new': [7, 8, 14, 16], 'ALdims_eis_old': [19, 19, 13, 11], 'ALdims_old': [76, 83, 71, 75], 'Nk2': 28900, 'analytic_conductor': 57.69191546037508, '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': [7225, 1, [2602, 2026], [1, 1]], 'conrey_index': 1, 'cusp_dim': 711, 'dim': 406, 'eis_dim': 107, 'eis_new_dim': 45, 'hecke_cutter_primes': [2, 3, 7, 11], 'hecke_orbit_code': 33561657, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 12, 12, 12, 12, 12, 12, 12, 15, 15, 15, 15, 24, 24, 24, 24, 24], 'label': '7225.2.a', 'level': 7225, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [5, 17], 'level_radical': 85, 'mf_dim': 818, 'mf_new_dim': 451, 'num_forms': 54, 'plus_dim': 197, 'prim_orbit_index': 1, 'relative_dim': 406, 'sturm_bound': 1530, 'trace_bound': 7, 'trace_display': [-2, 0, 0, -4], 'traces': [406, -2, 0, 378, 0, 0, -4, -6, 362, 0, 4, 4, -10, 16, 0, 322, 0, 22, -10, 0, 0, 8, 0, 36, 0, 20, -12, -16, 8, 0, -8, -4, 30, 0, 0, 276, -12, 36, -8, 0, 24, -2, -2, -20, 0, 0, 22, -24, 268, 0, 0, 16, 26, 40, 0, 44, 0, -4, -10, 0, -12, 4, -24, 198, 0, 40, -26, 0, 18, 0, -36, 32, -32, 48, 0, -4, 18, 36, -40, 0, 278, 0, 20, 132, 0, -38, -12, 28, -6, 0, -48, -12, -12, 32, 0, 152, 4, -52, 24, 0, -8, 0, 48, 94, 0, 48, 32, 60, 0, 0, 0, -4, -32, 92, 0, 40, -24, 54, 0, 0, 186, 32, 6, -36, 0, 28, -8, -24, -36, 0, 80, 26, -16, -30, 0, 0, 10, 174, 28, 0, 8, -40, -28, 124, 0, -96, 20, -60, 20, 0, -72, 38, 0, -46, 0, -100, -6, -84, -64, 0, 36, 62, 36, 24, 0, 72, -12, 108, 124, 0, -88, -48, 36, -158, 0, -84, 56, 16, -86, 0, 48, 4, -100, 16, 0, -174, 0, 40, -8, 0, -32, 36, 24, -4, 0, 66, 4, -84, -76, 0, 64, 32, 42, 0, 0, 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mf_twists_cc • Show schema
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id: 48873709
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 162129586618899513, 'source_is_minimal': False, 'source_label': '7225.2.a.bk.1.3', 'source_level': 7225, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 162129586618899513, 'target_is_minimal': False, 'target_label': '7225.2.a.bk.1.3', 'target_level': 7225, 'twist_class_label': '1445.2.b.c.579.3', 'twist_class_level': 1445, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48873710
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 162129586618899513, 'source_is_minimal': False, 'source_label': '7225.2.a.bk.1.3', 'source_level': 7225, 'target_conrey_index': 579, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007268007773605, 'target_is_minimal': True, 'target_label': '1445.2.b.c.579.3', 'target_level': 1445, 'twist_class_label': '1445.2.b.c.579.3', 'twist_class_level': 1445, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48873711
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 162129586618899513, 'source_is_minimal': False, 'source_label': '7225.2.a.bk.1.3', 'source_level': 7225, 'target_conrey_index': 579, 'target_dim': 8, 'target_embedding_index': 6, 'target_hecke_orbit_code': 9007268007773605, 'target_is_minimal': True, 'target_label': '1445.2.b.c.579.6', 'target_level': 1445, 'twist_class_label': '1445.2.b.c.579.3', 'twist_class_level': 1445, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48873712
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 162129586618899513, 'source_is_minimal': False, 'source_label': '7225.2.a.bk.1.3', 'source_level': 7225, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 6, 'target_hecke_orbit_code': 162129586618899513, 'target_is_minimal': False, 'target_label': '7225.2.a.bk.1.6', 'target_level': 7225, 'twist_class_label': '1445.2.b.c.579.3', 'twist_class_level': 1445, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 48873713
{'conductor': 17, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 162129586618899513, 'source_is_minimal': False, 'source_label': '7225.2.a.bk.1.3', 'source_level': 7225, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 157625986991529017, 'target_is_minimal': False, 'target_label': '7225.2.a.bj.1.3', 'target_level': 7225, 'twist_class_label': '1445.2.b.c.579.3', 'twist_class_level': 1445, 'twisting_char_label': '17.16', 'twisting_conrey_index': 16, 'weight': 2}
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id: 48873714
{'conductor': 85, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 162129586618899513, 'source_is_minimal': False, 'source_label': '7225.2.a.bk.1.3', 'source_level': 7225, 'target_conrey_index': 579, 'target_dim': 8, 'target_embedding_index': 6, 'target_hecke_orbit_code': 13510867635144101, 'target_is_minimal': True, 'target_label': '1445.2.b.d.579.6', 'target_level': 1445, 'twist_class_label': '1445.2.b.c.579.3', 'twist_class_level': 1445, 'twisting_char_label': '85.33', 'twisting_conrey_index': 33, 'weight': 2}
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id: 48873715
{'conductor': 85, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 162129586618899513, 'source_is_minimal': False, 'source_label': '7225.2.a.bk.1.3', 'source_level': 7225, 'target_conrey_index': 579, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 13510867635144101, 'target_is_minimal': True, 'target_label': '1445.2.b.d.579.3', 'target_level': 1445, 'twist_class_label': '1445.2.b.c.579.3', 'twist_class_level': 1445, 'twisting_char_label': '85.67', 'twisting_conrey_index': 67, 'weight': 2}
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id: 48873716
{'conductor': 85, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 162129586618899513, 'source_is_minimal': False, 'source_label': '7225.2.a.bk.1.3', 'source_level': 7225, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 6, 'target_hecke_orbit_code': 157625986991529017, 'target_is_minimal': False, 'target_label': '7225.2.a.bj.1.6', 'target_level': 7225, 'twist_class_label': '1445.2.b.c.579.3', 'twist_class_level': 1445, 'twisting_char_label': '85.84', 'twisting_conrey_index': 84, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4417250
{'charpoly_factorization': [[[16, 0, -47, 0, 40, 0, -12, 0, 1], 1]], 'hecke_orbit_code': 162129586618899513, 'p': 2}
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id: 4417251
{'charpoly_factorization': [[[4, 0, -31, 0, 64, 0, -16, 0, 1], 1]], 'hecke_orbit_code': 162129586618899513, 'p': 3}
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id: 4417252
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 162129586618899513, 'p': 5}
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id: 4417253
{'charpoly_factorization': [[[16, 0, -47, 0, 40, 0, -12, 0, 1], 1]], 'hecke_orbit_code': 162129586618899513, 'p': 7}
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id: 4417254
{'charpoly_factorization': [[[-58, 65, -11, -5, 1], 2]], 'hecke_orbit_code': 162129586618899513, 'p': 11}
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id: 4417255
{'charpoly_factorization': [[[5776, 0, -4568, 0, 861, 0, -53, 0, 1], 1]], 'hecke_orbit_code': 162129586618899513, 'p': 13}
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id: 4417256
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 162129586618899513, 'p': 17}
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id: 4417257
{'charpoly_factorization': [[[-278, -253, -56, 2, 1], 2]], 'hecke_orbit_code': 162129586618899513, 'p': 19}
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id: 4417258
{'charpoly_factorization': [[[1444, 0, -15927, 0, 2680, 0, -104, 0, 1], 1]], 'hecke_orbit_code': 162129586618899513, 'p': 23}
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id: 4417259
{'charpoly_factorization': [[[514, -45, -50, 2, 1], 2]], 'hecke_orbit_code': 162129586618899513, 'p': 29}
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id: 4417260
{'charpoly_factorization': [[[-304, 118, 21, -12, 1], 2]], 'hecke_orbit_code': 162129586618899513, 'p': 31}
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id: 4417261
{'charpoly_factorization': [[[473344, 0, -89792, 0, 5312, 0, -124, 0, 1], 1]], 'hecke_orbit_code': 162129586618899513, 'p': 37}
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id: 4417262
{'charpoly_factorization': [[[-4, -28, -33, 0, 1], 2]], 'hecke_orbit_code': 162129586618899513, 'p': 41}
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id: 4417263
{'charpoly_factorization': [[[4227136, 0, -404620, 0, 13789, 0, -198, 0, 1], 1]], 'hecke_orbit_code': 162129586618899513, 'p': 43}
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id: 4417264
{'charpoly_factorization': [[[3984016, 0, -479624, 0, 16413, 0, -218, 0, 1], 1]], 'hecke_orbit_code': 162129586618899513, 'p': 47}
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id: 4417265
{'charpoly_factorization': [[[64, 0, -2300, 0, 745, 0, -53, 0, 1], 1]], 'hecke_orbit_code': 162129586618899513, 'p': 53}
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id: 4417266
{'charpoly_factorization': [[[-752, -940, -102, 11, 1], 2]], 'hecke_orbit_code': 162129586618899513, 'p': 59}
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id: 4417267
{'charpoly_factorization': [[[38, -105, -83, -3, 1], 2]], 'hecke_orbit_code': 162129586618899513, 'p': 61}
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id: 4417268
{'charpoly_factorization': [[[18496, 0, -14032, 0, 3164, 0, -215, 0, 1], 1]], 'hecke_orbit_code': 162129586618899513, 'p': 67}
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id: 4417269
{'charpoly_factorization': [[[1184, 168, -90, -1, 1], 2]], 'hecke_orbit_code': 162129586618899513, 'p': 71}
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id: 4417270
{'charpoly_factorization': [[[152078224, 0, -5950824, 0, 82645, 0, -482, 0, 1], 1]], 'hecke_orbit_code': 162129586618899513, 'p': 73}
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id: 4417271
{'charpoly_factorization': [[[8, 96, 68, 15, 1], 2]], 'hecke_orbit_code': 162129586618899513, 'p': 79}
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id: 4417272
{'charpoly_factorization': [[[4605316, 0, -555479, 0, 21868, 0, -308, 0, 1], 1]], 'hecke_orbit_code': 162129586618899513, 'p': 83}
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id: 4417273
{'charpoly_factorization': [[[-76, 246, 157, 24, 1], 2]], 'hecke_orbit_code': 162129586618899513, 'p': 89}
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id: 4417274
{'charpoly_factorization': [[[26790976, 0, -2879532, 0, 65809, 0, -505, 0, 1], 1]], 'hecke_orbit_code': 162129586618899513, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 37, 'label': '7225.2.a.bk', 'level': 7225, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 69976543
{'hecke_orbit_code': 162129586618899513, 'n': 1, 'trace_an': 8}
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id: 69976544
{'hecke_orbit_code': 162129586618899513, 'n': 2, 'trace_an': 0}
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id: 69976545
{'hecke_orbit_code': 162129586618899513, 'n': 3, 'trace_an': 0}
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id: 69976546
{'hecke_orbit_code': 162129586618899513, 'n': 4, 'trace_an': 8}
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id: 69976547
{'hecke_orbit_code': 162129586618899513, 'n': 5, 'trace_an': 0}
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id: 69976548
{'hecke_orbit_code': 162129586618899513, 'n': 6, 'trace_an': 6}
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id: 69976549
{'hecke_orbit_code': 162129586618899513, 'n': 7, 'trace_an': 0}
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id: 69976550
{'hecke_orbit_code': 162129586618899513, 'n': 8, 'trace_an': 0}
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id: 69976551
{'hecke_orbit_code': 162129586618899513, 'n': 9, 'trace_an': 8}
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id: 69976552
{'hecke_orbit_code': 162129586618899513, 'n': 10, 'trace_an': 0}
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id: 69976553
{'hecke_orbit_code': 162129586618899513, 'n': 11, 'trace_an': 10}
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id: 69976554
{'hecke_orbit_code': 162129586618899513, 'n': 12, 'trace_an': 0}
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id: 69976555
{'hecke_orbit_code': 162129586618899513, 'n': 13, 'trace_an': 0}
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id: 69976556
{'hecke_orbit_code': 162129586618899513, 'n': 14, 'trace_an': 24}
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id: 69976557
{'hecke_orbit_code': 162129586618899513, 'n': 15, 'trace_an': 0}
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id: 69976558
{'hecke_orbit_code': 162129586618899513, 'n': 16, 'trace_an': 16}
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