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{'Nk2': 17100, 'analytic_conductor': 34.136046864097366, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -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': [4275, 1, [1901, 1027, 1351], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 3, 'field_disc': 169, 'field_disc_factorization': [[13, 2]], 'field_poly': [-1, -4, -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, [-5, -3, 2, 1]], [7, [1, 1, -4, 1]], [11, [1, -4, 1, 1]]], 'hecke_orbit': 27, 'hecke_orbit_code': 117093590345191603, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '4275.2.a.ba', 'level': 4275, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 19], 'level_radical': 285, 'minimal_twist': '475.2.a.e', 'nf_label': '3.3.169.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(-1+\\beta _{1})q^{2}+(2-\\beta _{1}+\\beta _{2})q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4275.2.a', 'trace_display': [-2, 0, 0, 4], 'trace_hash': 267470564452163834, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.845', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '22.078', 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'embedding_m': 3, 'embedding_root_imag': 0.0, 'embedding_root_real': 2.651093408937175, 'hecke_orbit': 27, 'hecke_orbit_code': 117093590345191603, 'label': '4275.2.a.ba.1.3', 'level': 4275, 'weight': 2}
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{'AL_dims': [[[[3, -1], [5, -1], [19, -1]], 25, 8], [[[3, 1], [5, -1], [19, 1]], 18, 2], [[[3, 1], [5, -1], [19, -1]], 10, 5], [[[3, 1], [5, 1], [19, 1]], 12, 3], [[[3, -1], [5, 1], [19, -1]], 19, 9], [[[3, -1], [5, -1], [19, 1]], 21, 7], [[[3, 1], [5, 1], [19, -1]], 16, 4], [[[3, -1], [5, 1], [19, 1]], 21, 12]], 'ALdims': [12, 16, 18, 10, 21, 19, 21, 25], 'Nk2': 17100, 'analytic_conductor': 34.136046864097366, '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': [4275, 1, [1901, 1027, 1351], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 577, 'dim': 142, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7, 11], 'hecke_orbit_code': 33558707, 'hecke_orbit_dims': [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, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 6, 6, 6, 6, 6, 7, 7, 12], 'label': '4275.2.a', 'level': 4275, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 19], 'level_radical': 285, 'mf_dim': 624, 'mf_new_dim': 142, 'num_forms': 50, 'plus_dim': 62, 'prim_orbit_index': 1, 'relative_dim': 142, 'sturm_bound': 1200, 'trace_bound': 13, 'trace_display': [1, 0, 0, 5], 'traces': [142, 1, 0, 143, 0, 0, 5, -3, 0, 0, 13, 0, -2, -12, 0, 145, -11, 0, -2, 0, 0, 4, -8, 0, 0, 6, 0, 18, 32, 0, 0, 5, 0, 18, 0, 0, -12, -3, 0, 0, 0, 0, 13, 66, 0, 36, -1, 0, 145, 0, 0, 14, 26, 0, 0, 8, 0, 10, -18, 0, -9, 8, 0, 185, 0, 0, 12, -52, 0, 0, -42, 0, 1, 62, 0, -5, -41, 0, 8, 0, 0, 38, 16, 0, 0, 4, 0, -32, -2, 0, -16, 40, 0, -32, 0, 0, -6, 5, 0, 0, 28, 0, -34, 18, 0, 6, 34, 0, 38, 0, 0, 88, 20, 0, 0, 142, 0, 20, -11, 0, 213, 26, 0, -76, 0, 0, 46, -59, 0, 0, 3, 0, 1, 8, 0, 106, 29, 0, 9, 0, 0, 48, 36, 0, 0, -102, 0, -34, 57, 0, -74, -3, 0, -20, 0, 0, 36, 40, 0, 0, 0, 0, 28, -134, 0, -108, 2, 0, 170, 0, 0, 78, -24, 0, 0, 228, 0, -66, 38, 0, 56, 64, 0, 136, 0, 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mf_twists_cc • Show schema
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id: 48604630
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 117093590345191603, 'source_is_minimal': False, 'source_label': '4275.2.a.ba.1.3', 'source_level': 4275, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 117093590345191603, 'target_is_minimal': False, 'target_label': '4275.2.a.ba.1.3', 'target_level': 4275, 'twist_class_label': '475.2.a.e.1.3', 'twist_class_level': 475, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48604631
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 117093590345191603, 'source_is_minimal': False, 'source_label': '4275.2.a.ba.1.3', 'source_level': 4275, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021597797777883, 'target_is_minimal': True, 'target_label': '475.2.a.g.1.1', 'target_level': 475, 'twist_class_label': '475.2.a.e.1.3', 'twist_class_level': 475, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48604632
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 117093590345191603, 'source_is_minimal': False, 'source_label': '4275.2.a.ba.1.3', 'source_level': 4275, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 171136785873637555, 'target_is_minimal': False, 'target_label': '4275.2.a.bm.1.1', 'target_level': 4275, 'twist_class_label': '475.2.a.e.1.3', 'twist_class_level': 475, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 48604633
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 117093590345191603, 'source_is_minimal': False, 'source_label': '4275.2.a.ba.1.3', 'source_level': 4275, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 148618787736788400, 'target_is_minimal': False, 'target_label': '7600.2.a.bh.1.1', 'target_level': 7600, 'twist_class_label': '475.2.a.e.1.3', 'twist_class_level': 475, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 48604634
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 117093590345191603, 'source_is_minimal': False, 'source_label': '4275.2.a.ba.1.3', 'source_level': 4275, 'target_conrey_index': 324, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503668380402139, 'target_is_minimal': False, 'target_label': '475.2.b.b.324.2', 'target_level': 475, 'twist_class_label': '475.2.a.e.1.3', 'twist_class_level': 475, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48604635
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 117093590345191603, 'source_is_minimal': False, 'source_label': '4275.2.a.ba.1.3', 'source_level': 4275, 'target_conrey_index': 324, 'target_dim': 6, 'target_embedding_index': 5, 'target_hecke_orbit_code': 4503668380402139, 'target_is_minimal': False, 'target_label': '475.2.b.b.324.5', 'target_level': 475, 'twist_class_label': '475.2.a.e.1.3', 'twist_class_level': 475, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 48604636
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 117093590345191603, 'source_is_minimal': False, 'source_label': '4275.2.a.ba.1.3', 'source_level': 4275, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 18014398543036891, 'target_is_minimal': True, 'target_label': '475.2.a.e.1.3', 'target_level': 475, 'twist_class_label': '475.2.a.e.1.3', 'twist_class_level': 475, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 48604637
{'conductor': 57, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 117093590345191603, 'source_is_minimal': False, 'source_label': '4275.2.a.ba.1.3', 'source_level': 4275, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 108086391090455361, 'target_is_minimal': False, 'target_label': '9025.2.a.y.1.3', 'target_level': 9025, 'twist_class_label': '475.2.a.e.1.3', 'twist_class_level': 475, 'twisting_char_label': '57.56', 'twisting_conrey_index': 56, 'weight': 2}
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id: 48604638
{'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 117093590345191603, 'source_is_minimal': False, 'source_label': '4275.2.a.ba.1.3', 'source_level': 4275, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 243194379911568816, 'target_is_minimal': False, 'target_label': '7600.2.a.cc.1.3', 'target_level': 7600, 'twist_class_label': '475.2.a.e.1.3', 'twist_class_level': 475, 'twisting_char_label': '60.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 48604639
{'conductor': 285, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 117093590345191603, 'source_is_minimal': False, 'source_label': '4275.2.a.ba.1.3', 'source_level': 4275, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 126100789599937345, 'target_is_minimal': False, 'target_label': '9025.2.a.bc.1.1', 'target_level': 9025, 'twist_class_label': '475.2.a.e.1.3', 'twist_class_level': 475, 'twisting_char_label': '285.284', 'twisting_conrey_index': 284, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3551275
{'charpoly_factorization': [[[-5, -3, 2, 1], 1]], 'hecke_orbit_code': 117093590345191603, 'p': 2}
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id: 3551276
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 117093590345191603, 'p': 3}
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id: 3551277
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 117093590345191603, 'p': 5}
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id: 3551278
{'charpoly_factorization': [[[1, 1, -4, 1], 1]], 'hecke_orbit_code': 117093590345191603, 'p': 7}
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id: 3551279
{'charpoly_factorization': [[[1, -4, 1, 1], 1]], 'hecke_orbit_code': 117093590345191603, 'p': 11}
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id: 3551280
{'charpoly_factorization': [[[103, -36, -3, 1], 1]], 'hecke_orbit_code': 117093590345191603, 'p': 13}
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id: 3551281
{'charpoly_factorization': [[[79, 61, 14, 1], 1]], 'hecke_orbit_code': 117093590345191603, 'p': 17}
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id: 3551282
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 117093590345191603, 'p': 19}
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id: 3551283
{'charpoly_factorization': [[[-125, -9, 8, 1], 1]], 'hecke_orbit_code': 117093590345191603, 'p': 23}
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id: 3551284
{'charpoly_factorization': [[[5, 4, -5, 1], 1]], 'hecke_orbit_code': 117093590345191603, 'p': 29}
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id: 3551285
{'charpoly_factorization': [[[53, -30, 1, 1], 1]], 'hecke_orbit_code': 117093590345191603, 'p': 31}
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id: 3551286
{'charpoly_factorization': [[[395, -74, -5, 1], 1]], 'hecke_orbit_code': 117093590345191603, 'p': 37}
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id: 3551287
{'charpoly_factorization': [[[-155, -82, 1, 1], 1]], 'hecke_orbit_code': 117093590345191603, 'p': 41}
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id: 3551288
{'charpoly_factorization': [[[-317, -113, 5, 1], 1]], 'hecke_orbit_code': 117093590345191603, 'p': 43}
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id: 3551289
{'charpoly_factorization': [[[-311, -64, 9, 1], 1]], 'hecke_orbit_code': 117093590345191603, 'p': 47}
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id: 3551290
{'charpoly_factorization': [[[905, 303, 31, 1], 1]], 'hecke_orbit_code': 117093590345191603, 'p': 53}
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id: 3551291
{'charpoly_factorization': [[[200, -40, -6, 1], 1]], 'hecke_orbit_code': 117093590345191603, 'p': 59}
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id: 3551292
{'charpoly_factorization': [[[-1, -10, -3, 1], 1]], 'hecke_orbit_code': 117093590345191603, 'p': 61}
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id: 3551293
{'charpoly_factorization': [[[-169, 0, 13, 1], 1]], 'hecke_orbit_code': 117093590345191603, 'p': 67}
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id: 3551294
{'charpoly_factorization': [[[-47, -1, 7, 1], 1]], 'hecke_orbit_code': 117093590345191603, 'p': 71}
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id: 3551295
{'charpoly_factorization': [[[-53, -30, -1, 1], 1]], 'hecke_orbit_code': 117093590345191603, 'p': 73}
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id: 3551296
{'charpoly_factorization': [[[-395, 17, 18, 1], 1]], 'hecke_orbit_code': 117093590345191603, 'p': 79}
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id: 3551297
{'charpoly_factorization': [[[131, -270, 3, 1], 1]], 'hecke_orbit_code': 117093590345191603, 'p': 83}
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id: 3551298
{'charpoly_factorization': [[[125, 51, -20, 1], 1]], 'hecke_orbit_code': 117093590345191603, 'p': 89}
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id: 3551299
{'charpoly_factorization': [[[-169, 0, 13, 1], 1]], 'hecke_orbit_code': 117093590345191603, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 27, 'label': '4275.2.a.ba', 'level': 4275, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 260423000
{'hecke_orbit_code': 117093590345191603, 'n': 1, 'trace_an': 3}
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id: 260423001
{'hecke_orbit_code': 117093590345191603, 'n': 2, 'trace_an': -2}
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id: 260423002
{'hecke_orbit_code': 117093590345191603, 'n': 3, 'trace_an': 0}
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id: 260423003
{'hecke_orbit_code': 117093590345191603, 'n': 4, 'trace_an': 4}
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id: 260423004
{'hecke_orbit_code': 117093590345191603, 'n': 5, 'trace_an': 0}
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id: 260423005
{'hecke_orbit_code': 117093590345191603, 'n': 6, 'trace_an': 0}
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id: 260423006
{'hecke_orbit_code': 117093590345191603, 'n': 7, 'trace_an': 4}
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id: 260423007
{'hecke_orbit_code': 117093590345191603, 'n': 8, 'trace_an': -3}
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id: 260423008
{'hecke_orbit_code': 117093590345191603, 'n': 9, 'trace_an': 0}
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id: 260423009
{'hecke_orbit_code': 117093590345191603, 'n': 10, 'trace_an': 0}
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