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{'Nk2': 22932, 'analytic_conductor': 45.77823547880004, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [7, 1], [13, -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': [5733, 1, [2549, 1522, 5293], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 6, 'field_disc': 4507648, 'field_disc_factorization': [[2, 11], [31, 1], [71, 1]], 'field_poly': [-1, -6, 7, 8, -5, -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, -4, 14, 0, -8, 0, 1]], [5, [31, 26, -31, -24, 5, 6, 1]], [11, [-562, 692, 186, -156, -38, 4, 1]], [17, [-5294, -6792, -2792, -324, 56, 16, 1]], [19, [-73, -6, 83, 16, -17, -2, 1]], [31, [-44249, -10046, 4181, 508, -115, -6, 1]]], 'hecke_orbit': 44, 'hecke_orbit_code': 193654784010491493, 'hecke_ring_generator_nbound': 5, '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': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '5733.2.a.br', 'level': 5733, '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, 7, 13], 'level_radical': 273, 'minimal_twist': '637.2.a.m', 'nf_label': '6.6.4507648.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{2}q^{2}+(1-\\beta _{1}-\\beta _{3}+\\beta _{4})q^{4}+(-1+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 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'hecke_orbit_code': 193654784010491493, 'label': '5733.2.a.br.1.4', 'level': 5733, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [18, 22, 24, 18, 31, 29, 30, 33], 'Nk2': 22932, 'analytic_conductor': 45.77823547880004, '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': [5733, 1, [2549, 1522, 5293], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 753, 'dim': 205, 'eis_dim': 63, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 5, 11, 17, 19, 31], 'hecke_orbit_code': 33560165, '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, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 10, 10, 10, 10, 12, 12], 'label': '5733.2.a', 'level': 5733, '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, 7, 13], 'level_radical': 273, 'mf_dim': 816, 'mf_new_dim': 205, 'num_forms': 54, 'plus_dim': 95, 'prim_orbit_index': 1, 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mf_twists_cc • Show schema
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id: 48976706
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 4, 'source_hecke_orbit_code': 193654784010491493, 'source_is_minimal': False, 'source_label': '5733.2.a.br.1.4', 'source_level': 5733, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 4, 'target_hecke_orbit_code': 193654784010491493, 'target_is_minimal': False, 'target_label': '5733.2.a.br.1.4', 'target_level': 5733, 'twist_class_label': '637.2.a.m.1.3', 'twist_class_level': 637, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48976707
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 4, 'source_hecke_orbit_code': 193654784010491493, 'source_is_minimal': False, 'source_label': '5733.2.a.br.1.4', 'source_level': 5733, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 58546795189371517, 'target_is_minimal': True, 'target_label': '637.2.a.n.1.3', 'target_level': 637, 'twist_class_label': '637.2.a.m.1.3', 'twist_class_level': 637, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48976708
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 4, 'source_hecke_orbit_code': 193654784010491493, 'source_is_minimal': False, 'source_label': '5733.2.a.br.1.4', 'source_level': 5733, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 4, 'target_hecke_orbit_code': 207165582892602981, 'target_is_minimal': False, 'target_label': '5733.2.a.bu.1.4', 'target_level': 5733, 'twist_class_label': '637.2.a.m.1.3', 'twist_class_level': 637, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 48976709
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 4, 'source_hecke_orbit_code': 193654784010491493, 'source_is_minimal': False, 'source_label': '5733.2.a.br.1.4', 'source_level': 5733, 'target_conrey_index': 508, 'target_dim': 12, 'target_embedding_index': 4, 'target_hecke_orbit_code': 58547070067278461, 'target_is_minimal': False, 'target_label': '637.2.e.n.508.4', 'target_level': 637, 'twist_class_label': '637.2.a.m.1.3', 'twist_class_level': 637, 'twisting_char_label': '21.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48976710
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 4, 'source_hecke_orbit_code': 193654784010491493, 'source_is_minimal': False, 'source_label': '5733.2.a.br.1.4', 'source_level': 5733, 'target_conrey_index': 508, 'target_dim': 12, 'target_embedding_index': 4, 'target_hecke_orbit_code': 63050669694648957, 'target_is_minimal': False, 'target_label': '637.2.e.o.508.4', 'target_level': 637, 'twist_class_label': '637.2.a.m.1.3', 'twist_class_level': 637, 'twisting_char_label': '21.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 48976711
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 4, 'source_hecke_orbit_code': 193654784010491493, 'source_is_minimal': False, 'source_label': '5733.2.a.br.1.4', 'source_level': 5733, 'target_conrey_index': 79, 'target_dim': 12, 'target_embedding_index': 4, 'target_hecke_orbit_code': 58547070067278461, 'target_is_minimal': False, 'target_label': '637.2.e.n.79.4', 'target_level': 637, 'twist_class_label': '637.2.a.m.1.3', 'twist_class_level': 637, 'twisting_char_label': '21.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 48976712
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 4, 'source_hecke_orbit_code': 193654784010491493, 'source_is_minimal': False, 'source_label': '5733.2.a.br.1.4', 'source_level': 5733, 'target_conrey_index': 79, 'target_dim': 12, 'target_embedding_index': 4, 'target_hecke_orbit_code': 63050669694648957, 'target_is_minimal': False, 'target_label': '637.2.e.o.79.4', 'target_level': 637, 'twist_class_label': '637.2.a.m.1.3', 'twist_class_level': 637, 'twisting_char_label': '21.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 48976713
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 4, 'source_hecke_orbit_code': 193654784010491493, 'source_is_minimal': False, 'source_label': '5733.2.a.br.1.4', 'source_level': 5733, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 54043195562001021, 'target_is_minimal': True, 'target_label': '637.2.a.m.1.3', 'target_level': 637, 'twist_class_label': '637.2.a.m.1.3', 'twist_class_level': 637, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 48976714
{'conductor': 39, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 4, 'source_hecke_orbit_code': 193654784010491493, 'source_is_minimal': False, 'source_label': '5733.2.a.br.1.4', 'source_level': 5733, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 4, 'target_hecke_orbit_code': 247697979538939993, 'target_is_minimal': False, 'target_label': '8281.2.a.cd.1.4', 'target_level': 8281, 'twist_class_label': '637.2.a.m.1.3', 'twist_class_level': 637, 'twisting_char_label': '39.38', 'twisting_conrey_index': 38, 'weight': 2}
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id: 48976715
{'conductor': 273, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 4, 'source_hecke_orbit_code': 193654784010491493, 'source_is_minimal': False, 'source_label': '5733.2.a.br.1.4', 'source_level': 5733, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 4, 'target_hecke_orbit_code': 243194379911569497, 'target_is_minimal': False, 'target_label': '8281.2.a.cc.1.4', 'target_level': 8281, 'twist_class_label': '637.2.a.m.1.3', 'twist_class_level': 637, 'twisting_char_label': '273.272', 'twisting_conrey_index': 272, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3982250
{'charpoly_factorization': [[[-2, -4, 14, 0, -8, 0, 1], 1]], 'hecke_orbit_code': 193654784010491493, 'p': 2}
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id: 3982251
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 193654784010491493, 'p': 3}
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id: 3982252
{'charpoly_factorization': [[[31, 26, -31, -24, 5, 6, 1], 1]], 'hecke_orbit_code': 193654784010491493, 'p': 5}
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id: 3982253
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 193654784010491493, 'p': 7}
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id: 3982254
{'charpoly_factorization': [[[-562, 692, 186, -156, -38, 4, 1], 1]], 'hecke_orbit_code': 193654784010491493, 'p': 11}
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id: 3982255
{'charpoly_factorization': [[[-1, 1], 6]], 'hecke_orbit_code': 193654784010491493, 'p': 13}
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id: 3982256
{'charpoly_factorization': [[[-5294, -6792, -2792, -324, 56, 16, 1], 1]], 'hecke_orbit_code': 193654784010491493, 'p': 17}
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id: 3982257
{'charpoly_factorization': [[[-73, -6, 83, 16, -17, -2, 1], 1]], 'hecke_orbit_code': 193654784010491493, 'p': 19}
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id: 3982258
{'charpoly_factorization': [[[529, -874, -169, 272, -37, -6, 1], 1]], 'hecke_orbit_code': 193654784010491493, 'p': 23}
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id: 3982259
{'charpoly_factorization': [[[529, -230, -401, 268, -33, -6, 1], 1]], 'hecke_orbit_code': 193654784010491493, 'p': 29}
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id: 3982260
{'charpoly_factorization': [[[-44249, -10046, 4181, 508, -115, -6, 1], 1]], 'hecke_orbit_code': 193654784010491493, 'p': 31}
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id: 3982261
{'charpoly_factorization': [[[254, -716, 378, 236, -82, 0, 1], 1]], 'hecke_orbit_code': 193654784010491493, 'p': 37}
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id: 3982262
{'charpoly_factorization': [[[28784, -19744, 1720, 968, -120, -8, 1], 1]], 'hecke_orbit_code': 193654784010491493, 'p': 41}
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id: 3982263
{'charpoly_factorization': [[[35153, 29214, 6575, -188, -161, -2, 1], 1]], 'hecke_orbit_code': 193654784010491493, 'p': 43}
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id: 3982264
{'charpoly_factorization': [[[-135617, -107350, -25621, -1480, 215, 30, 1], 1]], 'hecke_orbit_code': 193654784010491493, 'p': 47}
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id: 3982265
{'charpoly_factorization': [[[-1319, -3386, 1199, 680, -37, -14, 1], 1]], 'hecke_orbit_code': 193654784010491493, 'p': 53}
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id: 3982266
{'charpoly_factorization': [[[1532, -760, -1236, -44, 146, 24, 1], 1]], 'hecke_orbit_code': 193654784010491493, 'p': 59}
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id: 3982267
{'charpoly_factorization': [[[-216584, -20768, 16252, 112, -246, 0, 1], 1]], 'hecke_orbit_code': 193654784010491493, 'p': 61}
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id: 3982268
{'charpoly_factorization': [[[6112, -3712, -1984, 800, 0, -16, 1], 1]], 'hecke_orbit_code': 193654784010491493, 'p': 67}
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id: 3982269
{'charpoly_factorization': [[[-1206162, 104028, 33274, -1856, -316, 8, 1], 1]], 'hecke_orbit_code': 193654784010491493, 'p': 71}
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id: 3982270
{'charpoly_factorization': [[[-142657, 22234, 12011, -808, -241, 6, 1], 1]], 'hecke_orbit_code': 193654784010491493, 'p': 73}
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id: 3982271
{'charpoly_factorization': [[[7913, 9486, -11129, -3172, -65, 22, 1], 1]], 'hecke_orbit_code': 193654784010491493, 'p': 79}
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id: 3982272
{'charpoly_factorization': [[[-167041, -13034, 26145, 7992, 941, 50, 1], 1]], 'hecke_orbit_code': 193654784010491493, 'p': 83}
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id: 3982273
{'charpoly_factorization': [[[9959, 26, -9053, -1188, 131, 26, 1], 1]], 'hecke_orbit_code': 193654784010491493, 'p': 89}
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id: 3982274
{'charpoly_factorization': [[[217287, 193902, 13171, -3620, -261, 14, 1], 1]], 'hecke_orbit_code': 193654784010491493, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 44, 'label': '5733.2.a.br', 'level': 5733, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 70949977
{'hecke_orbit_code': 193654784010491493, 'n': 1, 'trace_an': 6}
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id: 70949978
{'hecke_orbit_code': 193654784010491493, 'n': 2, 'trace_an': 0}
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id: 70949979
{'hecke_orbit_code': 193654784010491493, 'n': 3, 'trace_an': 0}
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id: 70949980
{'hecke_orbit_code': 193654784010491493, 'n': 4, 'trace_an': 4}
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id: 70949981
{'hecke_orbit_code': 193654784010491493, 'n': 5, 'trace_an': -6}
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id: 70949982
{'hecke_orbit_code': 193654784010491493, 'n': 6, 'trace_an': 0}
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id: 70949983
{'hecke_orbit_code': 193654784010491493, 'n': 7, 'trace_an': 0}
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id: 70949984
{'hecke_orbit_code': 193654784010491493, 'n': 8, 'trace_an': 0}
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id: 70949985
{'hecke_orbit_code': 193654784010491493, 'n': 9, 'trace_an': 0}
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id: 70949986
{'hecke_orbit_code': 193654784010491493, 'n': 10, 'trace_an': 4}
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id: 70949987
{'hecke_orbit_code': 193654784010491493, 'n': 11, 'trace_an': -4}
-
id: 70949988
{'hecke_orbit_code': 193654784010491493, 'n': 12, 'trace_an': 0}
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id: 70949989
{'hecke_orbit_code': 193654784010491493, 'n': 13, 'trace_an': 6}
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id: 70949990
{'hecke_orbit_code': 193654784010491493, 'n': 14, 'trace_an': 0}
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id: 70949991
{'hecke_orbit_code': 193654784010491493, 'n': 15, 'trace_an': 0}
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id: 70949992
{'hecke_orbit_code': 193654784010491493, 'n': 16, 'trace_an': 0}
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id: 70949993
{'hecke_orbit_code': 193654784010491493, 'n': 17, 'trace_an': -16}
-
id: 70949994
{'hecke_orbit_code': 193654784010491493, 'n': 18, 'trace_an': 0}
-
id: 70949995
{'hecke_orbit_code': 193654784010491493, 'n': 19, 'trace_an': 2}
-
id: 70949996
{'hecke_orbit_code': 193654784010491493, 'n': 20, 'trace_an': -16}
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id: 70949997
{'hecke_orbit_code': 193654784010491493, 'n': 21, 'trace_an': 0}
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id: 70949998
{'hecke_orbit_code': 193654784010491493, 'n': 22, 'trace_an': -12}
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id: 70949999
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