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mf_newforms • Show schema
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{'Nk2': 1320, 'analytic_conductor': 2.635063266702253, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 11, 'char_degree': 4, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 13, 'char_orbit_label': 'm', 'char_order': 5, 'char_parity': 1, 'char_values': [330, 5, [221, 67, 211], [5, 5, 3]], 'cm_discs': [], 'conrey_index': 31, 'dim': 4, 'field_disc': 125, 'field_disc_factorization': [[5, 3]], 'field_poly': [1, -1, 1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 10, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [25, 0, 10, 5, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13511623549387082, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 11, 3, 1, 5, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '330.2.m.d', 'level': 330, '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': True, 'level_primes': [2, 3, 5, 11], 'level_radical': 330, 'minimal_twist': '330.2.m.d', 'nf_label': '4.0.125.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(1-\\zeta_{10}+\\zeta_{10}^{2}-\\zeta_{10}^{3})q^{2}-\\zeta_{10}^{2}q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c5', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '330.2.m', 'trace_display': [1, 1, 1, -5], 'trace_hash': 294469513918080671, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.059', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '49.984', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1123.763', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.004', 'prec': 17}, 'traces': [4, 1, 1, -1, 1, -1, -5, 1, -1, 4, 9, -4, 3, 5, -1, -1, -8, 1, 2, 1, -10, 1, 6, -1, -1, 2, 1, 0, -12, 1, 2, -4, -4, 8, 0, -1, 2, 3, -3, -1, 19, 0, 12, -11, -4, -6, 4, 1, 12, 1, -12, -2, -12, 4, 1, -10, 3, 12, 16, -1, -4, -12, -5, -1, 2, -1, 12, -8, 9, -5, 22, 1, -22, -2, 1, 2, -30, -2, -10, 1, -1, 16, -24, 5, -12, 8, 12, -4, -34, -1, -5, -9, -2, 1, -2, -1, 14, -2, -1, 4, -4, 12, 14, -3, 0, -13, -40, 1, 16, 9, -2, 0, 18, 2, -6, 18, -2, -16, -20, -4, -1, -36, 16, 12, 1, 0, -9, 1, -2, 3, 48, -9, 0, 28, -1, -12, 28, 6, 9, 5, 1, 28, -2, 4, -18, 22, 13, -3, -20, -1, 18, 3, -8, 0, 28, -3, 7, -10, 12, -1, -30, 1, 40, -6, -11, -16, -21, -5, 14, -8, -3, 2, 37, 18, 10, -1, 54, -16, 7, 1, -48, -5, 14, 9, 3, -28, -48, -6, 0, 2, 22, 1, -18, 26, -2, 12, 10, 11, -16, 1, -22, 4, 30, 8, -19, -14, 6, -2, 12, -10, -20, 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mf_hecke_cc • Show schema
Hide schema
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mf_newspaces • Show schema
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{'Nk2': 1320, 'analytic_conductor': 2.635063266702253, 'char_conductor': 11, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 13, 'char_orbit_label': 'm', 'char_order': 5, 'char_parity': 1, 'char_values': [330, 5, [221, 67, 211], [5, 5, 3]], 'conrey_index': 31, 'cusp_dim': 256, 'dim': 32, 'eis_dim': 64, 'eis_new_dim': 0, 'hecke_cutter_primes': [7], 'hecke_orbit_code': 824667275594, 'hecke_orbit_dims': [4, 4, 4, 4, 8, 8], 'label': '330.2.m', 'level': 330, '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': True, 'level_primes': [2, 3, 5, 11], 'level_radical': 330, 'mf_dim': 320, 'mf_new_dim': 32, 'num_forms': 6, 'prim_orbit_index': 3, 'relative_dim': 8, 'sturm_bound': 144, 'trace_bound': 5, 'trace_display': [0, 0, 0, 0], 'traces': [32, 0, 0, -8, 0, 0, 0, 0, -8, 16, 28, 0, 16, -4, 0, -8, 8, 0, -8, 0, 0, -8, 16, 0, -8, -16, 0, 0, 24, -4, -8, 0, -8, 24, -8, -8, 16, 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mf_twists_cc • Show schema
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id: 43480006
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 181, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511623549387082, 'source_is_minimal': True, 'source_label': '330.2.m.d.181.1', 'source_level': 330, 'target_conrey_index': 181, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511623549387082, 'target_is_minimal': True, 'target_label': '330.2.m.d.181.1', 'target_level': 330, 'twist_class_label': '330.2.m.d.31.1', 'twist_class_level': 330, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 43480007
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 181, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511623549387082, 'source_is_minimal': True, 'source_label': '330.2.m.d.181.1', 'source_level': 330, 'target_conrey_index': 181, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 893386752990, 'target_is_minimal': False, 'target_label': '990.2.n.a.181.1', 'target_level': 990, 'twist_class_label': '330.2.m.d.31.1', 'twist_class_level': 330, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 43480008
{'conductor': 11, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 181, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511623549387082, 'source_is_minimal': True, 'source_label': '330.2.m.d.181.1', 'source_level': 330, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 126100789599931950, 'target_is_minimal': False, 'target_label': '3630.2.a.bc.1.2', 'target_level': 3630, 'twist_class_label': '330.2.m.d.31.1', 'twist_class_level': 330, 'twisting_char_label': '11.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 43480009
{'conductor': 11, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 181, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511623549387082, 'source_is_minimal': True, 'source_label': '330.2.m.d.181.1', 'source_level': 330, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 153122387364154926, 'target_is_minimal': False, 'target_label': '3630.2.a.bi.1.1', 'target_level': 3630, 'twist_class_label': '330.2.m.d.31.1', 'twist_class_level': 330, 'twisting_char_label': '11.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 43480010
{'conductor': 11, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 181, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511623549387082, 'source_is_minimal': True, 'source_label': '330.2.m.d.181.1', 'source_level': 330, 'target_conrey_index': 31, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511623549387082, 'target_is_minimal': True, 'target_label': '330.2.m.d.31.1', 'target_level': 330, 'twist_class_label': '330.2.m.d.31.1', 'twist_class_level': 330, 'twisting_char_label': '11.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 43480011
{'conductor': 33, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 181, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511623549387082, 'source_is_minimal': True, 'source_label': '330.2.m.d.181.1', 'source_level': 330, 'target_conrey_index': 361, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 893386752990, 'target_is_minimal': False, 'target_label': '990.2.n.a.361.1', 'target_level': 990, 'twist_class_label': '330.2.m.d.31.1', 'twist_class_level': 330, 'twisting_char_label': '33.20', 'twisting_conrey_index': 20, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 720000
{'charpoly_factorization': [[[1, -1, 1, -1, 1], 1]], 'hecke_orbit_code': 13511623549387082, 'p': 2}
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id: 720001
{'charpoly_factorization': [[[1, -1, 1, -1, 1], 1]], 'hecke_orbit_code': 13511623549387082, 'p': 3}
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id: 720002
{'charpoly_factorization': [[[1, -1, 1, -1, 1], 1]], 'hecke_orbit_code': 13511623549387082, 'p': 5}
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id: 720003
{'charpoly_factorization': [[[25, 0, 10, 5, 1], 1]], 'hecke_orbit_code': 13511623549387082, 'p': 7}
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id: 720004
{'charpoly_factorization': [[[121, -99, 41, -9, 1], 1]], 'hecke_orbit_code': 13511623549387082, 'p': 11}
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id: 720005
{'charpoly_factorization': [[[1, -2, 4, -3, 1], 1]], 'hecke_orbit_code': 13511623549387082, 'p': 13}
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id: 720006
{'charpoly_factorization': [[[256, 192, 64, 8, 1], 1]], 'hecke_orbit_code': 13511623549387082, 'p': 17}
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id: 720007
{'charpoly_factorization': [[[1, -3, 4, -2, 1], 1]], 'hecke_orbit_code': 13511623549387082, 'p': 19}
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id: 720008
{'charpoly_factorization': [[[-9, -3, 1], 2]], 'hecke_orbit_code': 13511623549387082, 'p': 23}
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id: 720009
{'charpoly_factorization': [[[1296, 648, 144, 12, 1], 1]], 'hecke_orbit_code': 13511623549387082, 'p': 29}
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id: 720010
{'charpoly_factorization': [[[1936, -528, 64, -2, 1], 1]], 'hecke_orbit_code': 13511623549387082, 'p': 31}
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id: 720011
{'charpoly_factorization': [[[1, -3, 4, -2, 1], 1]], 'hecke_orbit_code': 13511623549387082, 'p': 37}
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id: 720012
{'charpoly_factorization': [[[3481, -944, 186, -19, 1], 1]], 'hecke_orbit_code': 13511623549387082, 'p': 41}
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id: 720013
{'charpoly_factorization': [[[4, -6, 1], 2]], 'hecke_orbit_code': 13511623549387082, 'p': 43}
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id: 720014
{'charpoly_factorization': [[[1, 1, 6, -4, 1], 1]], 'hecke_orbit_code': 13511623549387082, 'p': 47}
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id: 720015
{'charpoly_factorization': [[[961, 403, 94, 12, 1], 1]], 'hecke_orbit_code': 13511623549387082, 'p': 53}
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id: 720016
{'charpoly_factorization': [[[32761, -1991, 186, -16, 1], 1]], 'hecke_orbit_code': 13511623549387082, 'p': 59}
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id: 720017
{'charpoly_factorization': [[[5776, 1064, 96, 4, 1], 1]], 'hecke_orbit_code': 13511623549387082, 'p': 61}
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id: 720018
{'charpoly_factorization': [[[-116, -6, 1], 2]], 'hecke_orbit_code': 13511623549387082, 'p': 67}
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id: 720019
{'charpoly_factorization': [[[16, 32, 184, -22, 1], 1]], 'hecke_orbit_code': 13511623549387082, 'p': 71}
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id: 720020
{'charpoly_factorization': [[[5776, 1368, 244, 22, 1], 1]], 'hecke_orbit_code': 13511623549387082, 'p': 73}
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id: 720021
{'charpoly_factorization': [[[400, 200, 60, 10, 1], 1]], 'hecke_orbit_code': 13511623549387082, 'p': 79}
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id: 720022
{'charpoly_factorization': [[[4096, 1024, 256, 24, 1], 1]], 'hecke_orbit_code': 13511623549387082, 'p': 83}
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id: 720023
{'charpoly_factorization': [[[61, 17, 1], 2]], 'hecke_orbit_code': 13511623549387082, 'p': 89}
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id: 720024
{'charpoly_factorization': [[[1936, -1144, 276, -14, 1], 1]], 'hecke_orbit_code': 13511623549387082, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 13, 'hecke_orbit': 4, 'label': '330.2.m.d', 'level': 330, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 37230151
{'hecke_orbit_code': 13511623549387082, 'n': 1, 'trace_an': 4}
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id: 37230152
{'hecke_orbit_code': 13511623549387082, 'n': 2, 'trace_an': 1}
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id: 37230153
{'hecke_orbit_code': 13511623549387082, 'n': 3, 'trace_an': 1}
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id: 37230154
{'hecke_orbit_code': 13511623549387082, 'n': 4, 'trace_an': -1}
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id: 37230155
{'hecke_orbit_code': 13511623549387082, 'n': 5, 'trace_an': 1}
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id: 37230156
{'hecke_orbit_code': 13511623549387082, 'n': 6, 'trace_an': -1}
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id: 37230157
{'hecke_orbit_code': 13511623549387082, 'n': 7, 'trace_an': -5}
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id: 37230158
{'hecke_orbit_code': 13511623549387082, 'n': 8, 'trace_an': 1}
-
id: 37230159
{'hecke_orbit_code': 13511623549387082, 'n': 9, 'trace_an': -1}
-
id: 37230160
{'hecke_orbit_code': 13511623549387082, 'n': 10, 'trace_an': 4}
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id: 37230161
{'hecke_orbit_code': 13511623549387082, 'n': 11, 'trace_an': 9}
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id: 37230162
{'hecke_orbit_code': 13511623549387082, 'n': 12, 'trace_an': -4}
-
id: 37230163
{'hecke_orbit_code': 13511623549387082, 'n': 13, 'trace_an': 3}
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id: 37230164
{'hecke_orbit_code': 13511623549387082, 'n': 14, 'trace_an': 5}
-
id: 37230165
{'hecke_orbit_code': 13511623549387082, 'n': 15, 'trace_an': -1}
-
id: 37230166
{'hecke_orbit_code': 13511623549387082, 'n': 16, 'trace_an': -1}
-
id: 37230167
{'hecke_orbit_code': 13511623549387082, 'n': 17, 'trace_an': -8}
-
id: 37230168
{'hecke_orbit_code': 13511623549387082, 'n': 18, 'trace_an': 1}
-
id: 37230169
{'hecke_orbit_code': 13511623549387082, 'n': 19, 'trace_an': 2}
-
id: 37230170
{'hecke_orbit_code': 13511623549387082, 'n': 20, 'trace_an': 1}
-
id: 37230171
{'hecke_orbit_code': 13511623549387082, 'n': 21, 'trace_an': -10}
-
id: 37230172
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{'hecke_orbit_code': 13511623549387082, 'n': 757, 'trace_an': 9}
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id: 37230373
{'hecke_orbit_code': 13511623549387082, 'n': 761, 'trace_an': -50}
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id: 37230374
{'hecke_orbit_code': 13511623549387082, 'n': 769, 'trace_an': -90}
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id: 37230375
{'hecke_orbit_code': 13511623549387082, 'n': 773, 'trace_an': -19}
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id: 37230376
{'hecke_orbit_code': 13511623549387082, 'n': 787, 'trace_an': -18}
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id: 37230377
{'hecke_orbit_code': 13511623549387082, 'n': 797, 'trace_an': 55}
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id: 37230378
{'hecke_orbit_code': 13511623549387082, 'n': 809, 'trace_an': 65}
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id: 37230379
{'hecke_orbit_code': 13511623549387082, 'n': 811, 'trace_an': -47}
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id: 37230380
{'hecke_orbit_code': 13511623549387082, 'n': 821, 'trace_an': -10}
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id: 37230381
{'hecke_orbit_code': 13511623549387082, 'n': 823, 'trace_an': -51}
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id: 37230382
{'hecke_orbit_code': 13511623549387082, 'n': 827, 'trace_an': -12}
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id: 37230383
{'hecke_orbit_code': 13511623549387082, 'n': 829, 'trace_an': 62}
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id: 37230384
{'hecke_orbit_code': 13511623549387082, 'n': 839, 'trace_an': -58}
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id: 37230385
{'hecke_orbit_code': 13511623549387082, 'n': 841, 'trace_an': -115}
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id: 37230386
{'hecke_orbit_code': 13511623549387082, 'n': 853, 'trace_an': 114}
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id: 37230387
{'hecke_orbit_code': 13511623549387082, 'n': 857, 'trace_an': 212}
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id: 37230388
{'hecke_orbit_code': 13511623549387082, 'n': 859, 'trace_an': 146}
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id: 37230389
{'hecke_orbit_code': 13511623549387082, 'n': 863, 'trace_an': 11}
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id: 37230390
{'hecke_orbit_code': 13511623549387082, 'n': 877, 'trace_an': 22}
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id: 37230391
{'hecke_orbit_code': 13511623549387082, 'n': 881, 'trace_an': -18}
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id: 37230392
{'hecke_orbit_code': 13511623549387082, 'n': 883, 'trace_an': -64}
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id: 37230393
{'hecke_orbit_code': 13511623549387082, 'n': 887, 'trace_an': 25}
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id: 37230394
{'hecke_orbit_code': 13511623549387082, 'n': 907, 'trace_an': 28}
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id: 37230395
{'hecke_orbit_code': 13511623549387082, 'n': 911, 'trace_an': -40}
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id: 37230396
{'hecke_orbit_code': 13511623549387082, 'n': 919, 'trace_an': -76}
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id: 37230397
{'hecke_orbit_code': 13511623549387082, 'n': 929, 'trace_an': -40}
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id: 37230398
{'hecke_orbit_code': 13511623549387082, 'n': 937, 'trace_an': 24}
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id: 37230399
{'hecke_orbit_code': 13511623549387082, 'n': 941, 'trace_an': -40}
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id: 37230400
{'hecke_orbit_code': 13511623549387082, 'n': 947, 'trace_an': 112}
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id: 37230401
{'hecke_orbit_code': 13511623549387082, 'n': 953, 'trace_an': 42}
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id: 37230402
{'hecke_orbit_code': 13511623549387082, 'n': 961, 'trace_an': -93}
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id: 37230403
{'hecke_orbit_code': 13511623549387082, 'n': 967, 'trace_an': -102}
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id: 37230404
{'hecke_orbit_code': 13511623549387082, 'n': 971, 'trace_an': -21}
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id: 37230405
{'hecke_orbit_code': 13511623549387082, 'n': 977, 'trace_an': -62}
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id: 37230406
{'hecke_orbit_code': 13511623549387082, 'n': 983, 'trace_an': 51}
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id: 37230407
{'hecke_orbit_code': 13511623549387082, 'n': 991, 'trace_an': 0}
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id: 37230408
{'hecke_orbit_code': 13511623549387082, 'n': 997, 'trace_an': 58}