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mf_newforms • Show schema
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{'Nk2': 2664, 'analytic_conductor': 5.318036774617274, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 111, 'char_degree': 4, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 31, 'char_orbit_label': 'be', 'char_order': 12, 'char_parity': 1, 'char_values': [666, 12, [371, 631], [6, 11]], 'cm_discs': [], 'conrey_index': 125, 'conrey_indexes': [125, 251, 341, 467], 'dim': 8, 'field_disc': 5308416, 'field_disc_factorization': [[2, 16], [3, 4]], 'field_poly': [1, 0, 0, 0, -1, 0, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 24, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [81, 0, 0, 0, -9, 0, 0, 0, 1]], [7, [4, 2, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 2061617857178, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 2664, 'analytic_conductor': 5.318036774617274, 'char_conductor': 111, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 31, 'char_orbit_label': 'be', 'char_order': 12, 'char_parity': 1, 'char_values': [666, 12, [371, 631], [6, 11]], 'conrey_index': 125, 'cusp_dim': 424, 'dim': 40, 'eis_dim': 64, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7], 'hecke_orbit_code': 2061617857178, 'hecke_orbit_dims': [8, 8, 8, 16], 'label': '666.2.be', 'level': 666, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 37], 'level_radical': 222, 'mf_dim': 488, 'mf_new_dim': 40, 'num_forms': 4, 'prim_orbit_index': 13, 'relative_dim': 10, 'sturm_bound': 228, 'trace_bound': 7, 'trace_display': [0, 0, 0, 0], 'traces': [40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 20, 0, 0, -24, 0, 0, 16, 0, 0, 0, 0, 0, 24, 0, 0, 8, 0, 0, 0, 0, 0, 64, 0, 0, 12, 0, 0, 8, 0, 0, 16, 0, 0, 36, 0, 0, -12, 0, 0, -16, 0, 0, -12, 0, 0, 12, 0, 0, 0, 0, 0, -96, 0, 0, 16, 0, 0, 0, 0, 0, 24, 0, 0, -88, 0, 0, -20, 0, 0, 0, 0, 0, 32, 0, 0, -88, 0, 0, 16, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, -44, 0, 0, 52, 0, 0, 0, 0, 0, -96, 0, 0, -16, 0, 0, -120, 0, 0, -16, 0, 0, -8, 0, 0, -52, 0, 0, -104, 0, 0, 12, 0, 0, 240, 0, 0, -64, 0, 0, -52, 0, 0, 20, 0, 0, 72, 0, 0, -32, 0, 0, 4, 0, 0, 0, 0, 0, -136, 0, 0, -64, 0, 0, 72, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 176, 0, 0, 80, 0, 0, -84, 0, 0, 0, 0, 0, 56, 0, 0, -124, 0, 0, -80, 0, 0, 0, 0, 0, -144, 0, 0, -112, 0, 0, 64, 0, 0, -16, 0, 0, -16, 0, 0, 96, 0, 0, 40, 0, 0, 0, 0, 0, -96, 0, 0, -16, 0, 0, -148, 0, 0, 12, 0, 0, -72, 0, 0, 204, 0, 0, 224, 0, 0, -20, 0, 0, 112, 0, 0, 0, 0, 0, -32, 0, 0, 24, 0, 0, 144, 0, 0, 28, 0, 0, -44, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 240, 0, 0, 8, 0, 0, 0, 0, 0, 24, 0, 0, -104, 0, 0, -48, 0, 0, 0, 0, 0, 80, 0, 0, -80, 0, 0, 88, 0, 0, 176, 0, 0, -160, 0, 0, -40, 0, 0, 8, 0, 0, 128, 0, 0, -128, 0, 0, 84, 0, 0, 20, 0, 0, -192, 0, 0, -200, 0, 0, 16, 0, 0, -16, 0, 0, -144, 0, 0, 48, 0, 0, 48, 0, 0, -152, 0, 0, -88, 0, 0, 20, 0, 0, 180, 0, 0, 16, 0, 0, 16, 0, 0, 64, 0, 0, 16, 0, 0, -64, 0, 0, 240, 0, 0, 132, 0, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 128, 0, 0, -72, 0, 0, -128, 0, 0, 0, 0, 0, -60, 0, 0, -44, 0, 0, -152, 0, 0, 96, 0, 0, 32, 0, 0, -52, 0, 0, 176, 0, 0, -20, 0, 0, 32, 0, 0, 24, 0, 0, 96, 0, 0, 224, 0, 0, 208, 0, 0, -48, 0, 0, -64, 0, 0, 168, 0, 0, 24, 0, 0, 96, 0, 0, -16, 0, 0, 32, 0, 0, 268, 0, 0, -48, 0, 0, -336, 0, 0, 128, 0, 0, 276, 0, 0, 16, 0, 0, 104, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 168, 0, 0, 84, 0, 0, 0, 0, 0, 52, 0, 0, -96, 0, 0, -208, 0, 0, 0, 0, 0, -64, 0, 0, -240, 0, 0, 84, 0, 0, -204, 0, 0, 0, 0, 0, -344, 0, 0, -160, 0, 0, -136, 0, 0, -16, 0, 0, -432, 0, 0, -140, 0, 0, -192, 0, 0, -64, 0, 0, 96, 0, 0, 112, 0, 0, -404, 0, 0, -96, 0, 0, -192, 0, 0, -100, 0, 0, 120, 0, 0, 8, 0, 0, 192, 0, 0, -48, 0, 0, -204, 0, 0, -16, 0, 0, -184, 0, 0, -144, 0, 0, 384, 0, 0, 32, 0, 0, 0, 0, 0, 96, 0, 0, -188, 0, 0, 0, 0, 0, -56, 0, 0, 20, 0, 0, -136, 0, 0, 0, 0, 0, -296, 0, 0, 32, 0, 0, -48, 0, 0, 80, 0, 0, -128, 0, 0, 80, 0, 0, -80, 0, 0, -64, 0, 0, 32, 0, 0, 240, 0, 0, 248, 0, 0, 24, 0, 0, 88, 0, 0, -176, 0, 0, -208, 0, 0, 40, 0, 0, 192, 0, 0, 384, 0, 0, 116, 0, 0, 32, 0, 0, 136, 0, 0, -48, 0, 0, -176, 0, 0, -4, 0, 0, 240, 0, 0, 112, 0, 0, -168, 0, 0, -120, 0, 0, 48, 0, 0, 0, 0, 0, -24, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, -516, 0, 0, -64, 0, 0, 0, 0, 0, -48, 0, 0, -260, 0, 0, -80, 0, 0, 392, 0, 0, -160, 0, 0, 144, 0, 0, -24, 0, 0, -8, 0, 0, 56, 0, 0, -96, 0, 0, -36, 0, 0, -208, 0, 0, -176, 0, 0, 84, 0, 0, -40, 0, 0, -64, 0, 0, -192, 0, 0, -240, 0, 0, -20, 0, 0, -304, 0, 0, -80, 0, 0, 264, 0, 0, -68, 0, 0, 136, 0, 0, 96, 0, 0, -28, 0, 0, -12, 0, 0, 240, 0, 0, 192, 0, 0, 0, 0, 0, -48, 0, 0, -96, 0, 0, 0, 0, 0, 96, 0, 0, 80, 0, 0, 232, 0, 0, 0, 0, 0, -244, 0, 0, 64, 0, 0, -248, 0, 0, -128, 0, 0, 456, 0, 0, -80, 0, 0, 280, 0, 0, 16, 0, 0, 288, 0, 0, 96, 0, 0, 240, 0, 0, 48, 0, 0, -132, 0, 0, -56, 0, 0, -168, 0, 0, 240, 0, 0, -192, 0, 0, 252, 0, 0, 392, 0, 0, 184, 0, 0, -32, 0, 0, -12, 0, 0, -48, 0, 0, 64, 0, 0, -72, 0, 0, 96, 0, 0, 352, 0, 0, 96, 0, 0, 288, 0, 0, 0, 0, 0, 672, 0, 0, 96, 0, 0, 0, 0, 0, 148, 0, 0, -152, 0, 0, -308, 0, 0, 0, 0, 0, 60, 0, 0, -32, 0, 0, 384, 0, 0, 212, 0, 0, 16, 0, 0, 240, 0, 0, -48, 0, 0, -92, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 22605593
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 125, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 2061617857178, 'source_is_minimal': True, 'source_label': '666.2.be.a.125.2', 'source_level': 666, 'target_conrey_index': 125, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 2061617857178, 'target_is_minimal': True, 'target_label': '666.2.be.a.125.2', 'target_level': 666, 'twist_class_label': '666.2.be.a.125.1', 'twist_class_level': 666, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 22605594
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 125, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 2061617857178, 'source_is_minimal': True, 'source_label': '666.2.be.a.125.2', 'source_level': 666, 'target_conrey_index': 125, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 2061617857178, 'target_is_minimal': True, 'target_label': '666.2.be.a.125.1', 'target_level': 666, 'twist_class_label': '666.2.be.a.125.1', 'twist_class_level': 666, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 22605595
{'conductor': 37, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 125, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 2061617857178, 'source_is_minimal': True, 'source_label': '666.2.be.a.125.2', 'source_level': 666, 'target_conrey_index': 341, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 2061617857178, 'target_is_minimal': True, 'target_label': '666.2.be.a.341.1', 'target_level': 666, 'twist_class_label': '666.2.be.a.125.1', 'twist_class_level': 666, 'twisting_char_label': '37.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 22605596
{'conductor': 111, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 125, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 2061617857178, 'source_is_minimal': True, 'source_label': '666.2.be.a.125.2', 'source_level': 666, 'target_conrey_index': 341, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 2061617857178, 'target_is_minimal': True, 'target_label': '666.2.be.a.341.2', 'target_level': 666, 'twist_class_label': '666.2.be.a.125.1', 'twist_class_level': 666, 'twisting_char_label': '111.8', 'twisting_conrey_index': 8, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1185175
{'charpoly_factorization': [[[1, 0, 0, 0, -1, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 2061617857178, 'p': 2}
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id: 1185176
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 2061617857178, 'p': 3}
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id: 1185177
{'charpoly_factorization': [[[81, 0, 0, 0, -9, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 2061617857178, 'p': 5}
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id: 1185178
{'charpoly_factorization': [[[4, 2, 1], 4]], 'hecke_orbit_code': 2061617857178, 'p': 7}
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id: 1185179
{'charpoly_factorization': [[[16, 0, -16, 0, 1], 2]], 'hecke_orbit_code': 2061617857178, 'p': 11}
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id: 1185180
{'charpoly_factorization': [[[324, 108, 18, 6, 1], 2]], 'hecke_orbit_code': 2061617857178, 'p': 13}
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id: 1185181
{'charpoly_factorization': [[[28561, 0, 8112, 0, 599, 0, -48, 0, 1], 1]], 'hecke_orbit_code': 2061617857178, 'p': 17}
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id: 1185182
{'charpoly_factorization': [[[16, -32, 20, -4, 1], 2]], 'hecke_orbit_code': 2061617857178, 'p': 19}
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id: 1185183
{'charpoly_factorization': [[[4096, 0, 0, 0, 896, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 2061617857178, 'p': 23}
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id: 1185184
{'charpoly_factorization': [[[14641, 0, 0, 0, 7154, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 2061617857178, 'p': 29}
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id: 1185185
{'charpoly_factorization': [[[144, -144, 72, -12, 1], 2]], 'hecke_orbit_code': 2061617857178, 'p': 31}
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id: 1185186
{'charpoly_factorization': [[[1369, 0, 47, 0, 1], 2]], 'hecke_orbit_code': 2061617857178, 'p': 37}
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id: 1185187
{'charpoly_factorization': [[[1, 0, 4, 0, 15, 0, 4, 0, 1], 1]], 'hecke_orbit_code': 2061617857178, 'p': 41}
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id: 1185188
{'charpoly_factorization': [[[144, -144, 72, -12, 1], 2]], 'hecke_orbit_code': 2061617857178, 'p': 43}
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id: 1185189
{'charpoly_factorization': [[[2704, 0, 112, 0, 1], 2]], 'hecke_orbit_code': 2061617857178, 'p': 47}
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id: 1185190
{'charpoly_factorization': [[[4, 0, -2, 0, 1], 2]], 'hecke_orbit_code': 2061617857178, 'p': 53}
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id: 1185191
{'charpoly_factorization': [[[331776, 0, 82944, 0, 6336, 0, -144, 0, 1], 1]], 'hecke_orbit_code': 2061617857178, 'p': 59}
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id: 1185192
{'charpoly_factorization': [[[12321, -1332, 117, -18, 1], 2]], 'hecke_orbit_code': 2061617857178, 'p': 61}
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id: 1185193
{'charpoly_factorization': [[[108, -18, 1], 4]], 'hecke_orbit_code': 2061617857178, 'p': 67}
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id: 1185194
{'charpoly_factorization': [[[7311616, 0, -302848, 0, 9840, 0, -112, 0, 1], 1]], 'hecke_orbit_code': 2061617857178, 'p': 71}
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id: 1185195
{'charpoly_factorization': [[[16, 0, 1], 4]], 'hecke_orbit_code': 2061617857178, 'p': 73}
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id: 1185196
{'charpoly_factorization': [[[16, 32, 212, 28, 1], 2]], 'hecke_orbit_code': 2061617857178, 'p': 79}
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id: 1185197
{'charpoly_factorization': [[[1024, 0, -32, 0, 1], 2]], 'hecke_orbit_code': 2061617857178, 'p': 83}
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id: 1185198
{'charpoly_factorization': [[[1, 0, 0, 0, -1, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 2061617857178, 'p': 89}
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id: 1185199
{'charpoly_factorization': [[[1521, -702, 162, -18, 1], 2]], 'hecke_orbit_code': 2061617857178, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 31, 'hecke_orbit': 1, 'label': '666.2.be.a', 'level': 666, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 54362000
{'hecke_orbit_code': 2061617857178, 'n': 1, 'trace_an': 8}
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id: 54362001
{'hecke_orbit_code': 2061617857178, 'n': 2, 'trace_an': 0}
-
id: 54362002
{'hecke_orbit_code': 2061617857178, 'n': 3, 'trace_an': 0}
-
id: 54362003
{'hecke_orbit_code': 2061617857178, 'n': 4, 'trace_an': 0}
-
id: 54362004
{'hecke_orbit_code': 2061617857178, 'n': 5, 'trace_an': 0}
-
id: 54362005
{'hecke_orbit_code': 2061617857178, 'n': 6, 'trace_an': 0}
-
id: 54362006
{'hecke_orbit_code': 2061617857178, 'n': 7, 'trace_an': -8}
-
id: 54362007
{'hecke_orbit_code': 2061617857178, 'n': 8, 'trace_an': 0}
-
id: 54362008
{'hecke_orbit_code': 2061617857178, 'n': 9, 'trace_an': 0}
-
id: 54362009
{'hecke_orbit_code': 2061617857178, 'n': 10, 'trace_an': 0}
-
id: 54362010
{'hecke_orbit_code': 2061617857178, 'n': 11, 'trace_an': 0}
-
id: 54362011
{'hecke_orbit_code': 2061617857178, 'n': 12, 'trace_an': 0}
-
id: 54362012
{'hecke_orbit_code': 2061617857178, 'n': 13, 'trace_an': -12}
-
id: 54362013
{'hecke_orbit_code': 2061617857178, 'n': 14, 'trace_an': 0}
-
id: 54362014
{'hecke_orbit_code': 2061617857178, 'n': 15, 'trace_an': 0}
-
id: 54362015
{'hecke_orbit_code': 2061617857178, 'n': 16, 'trace_an': 4}
-
id: 54362016
{'hecke_orbit_code': 2061617857178, 'n': 17, 'trace_an': 0}
-
id: 54362017
{'hecke_orbit_code': 2061617857178, 'n': 18, 'trace_an': 0}
-
id: 54362018
{'hecke_orbit_code': 2061617857178, 'n': 19, 'trace_an': 8}
-
id: 54362019
{'hecke_orbit_code': 2061617857178, 'n': 20, 'trace_an': 0}
-
id: 54362020
{'hecke_orbit_code': 2061617857178, 'n': 21, 'trace_an': 0}
-
id: 54362021
{'hecke_orbit_code': 2061617857178, 'n': 22, 'trace_an': -8}
-
id: 54362022
{'hecke_orbit_code': 2061617857178, 'n': 23, 'trace_an': 0}
-
id: 54362023
{'hecke_orbit_code': 2061617857178, 'n': 24, 'trace_an': 0}
-
id: 54362024
{'hecke_orbit_code': 2061617857178, 'n': 25, 'trace_an': 0}
-
id: 54362025
{'hecke_orbit_code': 2061617857178, 'n': 26, 'trace_an': 0}
-
id: 54362026
{'hecke_orbit_code': 2061617857178, 'n': 27, 'trace_an': 0}
-
id: 54362027
{'hecke_orbit_code': 2061617857178, 'n': 28, 'trace_an': 0}
-
id: 54362028
{'hecke_orbit_code': 2061617857178, 'n': 29, 'trace_an': 0}
-
id: 54362029
{'hecke_orbit_code': 2061617857178, 'n': 30, 'trace_an': 0}
-
id: 54362030
{'hecke_orbit_code': 2061617857178, 'n': 31, 'trace_an': 24}
-
id: 54362031
{'hecke_orbit_code': 2061617857178, 'n': 32, 'trace_an': 0}
-
id: 54362032
{'hecke_orbit_code': 2061617857178, 'n': 33, 'trace_an': 0}
-
id: 54362033
{'hecke_orbit_code': 2061617857178, 'n': 34, 'trace_an': -16}
-
id: 54362034
{'hecke_orbit_code': 2061617857178, 'n': 35, 'trace_an': 0}
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