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mf_newforms • Show schema
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{'Nk2': 5200, 'analytic_conductor': 10.38055226276645, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 65, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [1300, 2, [651, 677, 301], [2, 1, 1]], 'cm_discs': [], 'conrey_index': 649, 'conrey_indexes': [649], 'dim': 6, 'field_disc': -9144576, 'field_disc_factorization': [[-1, 1], [2, 8], [3, 6], [7, 2]], 'field_poly': [4, 0, 36, 0, 12, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [4, 0, 36, 0, 12, 0, 1]], [7, [12, -12, 0, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13511005074097428, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 65, 4, 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mf_hecke_nf • Show schema
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0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 2, 1, 1, 2], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [-4, 0, 0, 1, 0, 0], [0, -6, 0, 0, 1, 0], [24, 0, 2, -6, 0, 0], [0, 38, 0, 0, -10, 2]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [0, 0, 6, 0, 1, 0], [4, 0, 1, 0, 0, 0], [0, 6, 0, 1, 0, 0], [0, 22, 0, 10, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 6, 'label': '1300.2.d.d', 'level': 1300, 'maxp': 1999, 'weight': 2}
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{'Nk2': 5200, 'analytic_conductor': 10.38055226276645, 'char_conductor': 65, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [1300, 2, [651, 677, 301], [2, 1, 1]], 'conrey_index': 649, 'cusp_dim': 192, 'dim': 20, 'eis_dim': 36, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7], 'hecke_orbit_code': 206191985940, 'hecke_orbit_dims': [4, 4, 6, 6], 'label': '1300.2.d', 'level': 1300, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 13], 'level_radical': 130, 'mf_dim': 228, 'mf_new_dim': 20, 'num_forms': 4, 'prim_orbit_index': 4, 'relative_dim': 20, 'sturm_bound': 420, 'trace_bound': 13, 'trace_display': [0, 0, 0, 0], 'traces': [20, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 336, 0, 0, 0, 0, 0, 0, 0, 636, 0, -248, 0, 0, 0, 0, 0, 0, 0, -576, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 0, 0, 0, 0, 380, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 702548
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1300.2.d.d', 'source_level': 1300, 'target_char_orbit': 6, 'target_dim': 6, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '260.2.f.a', 'target_level': 260, 'twist_class_label': '260.2.f.a', 'twist_class_level': 260, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 702549
{'conductor': 65, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1300.2.d.d', 'source_level': 1300, 'target_char_orbit': 6, 'target_dim': 6, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '260.2.f.a', 'target_level': 260, 'twist_class_label': '260.2.f.a', 'twist_class_level': 260, 'twisting_char_label': '65.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 702550
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1300.2.d.d', 'source_level': 1300, 'target_char_orbit': 11, 'target_dim': 6, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1040.2.k.c', 'target_level': 1040, 'twist_class_label': '260.2.f.a', 'twist_class_level': 260, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 702551
{'conductor': 260, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1300.2.d.d', 'source_level': 1300, 'target_char_orbit': 11, 'target_dim': 6, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1040.2.k.c', 'target_level': 1040, 'twist_class_label': '260.2.f.a', 'twist_class_level': 260, 'twisting_char_label': '260.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 702552
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1300.2.d.d', 'source_level': 1300, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1300.2.d.c', 'target_level': 1300, 'twist_class_label': '260.2.f.a', 'twist_class_level': 260, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 702553
{'conductor': 13, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1300.2.d.d', 'source_level': 1300, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1300.2.d.c', 'target_level': 1300, 'twist_class_label': '260.2.f.a', 'twist_class_level': 260, 'twisting_char_label': '13.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 702554
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1300.2.d.d', 'source_level': 1300, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1300.2.d.d', 'target_level': 1300, 'twist_class_label': '260.2.f.a', 'twist_class_level': 260, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 702555
{'conductor': 65, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1300.2.d.d', 'source_level': 1300, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1300.2.d.d', 'target_level': 1300, 'twist_class_label': '260.2.f.a', 'twist_class_level': 260, 'twisting_char_label': '65.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 702556
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1300.2.d.d', 'source_level': 1300, 'target_char_orbit': 6, 'target_dim': 6, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1300.2.f.e', 'target_level': 1300, 'twist_class_label': '260.2.f.a', 'twist_class_level': 260, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 702557
{'conductor': 65, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1300.2.d.d', 'source_level': 1300, 'target_char_orbit': 6, 'target_dim': 6, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1300.2.f.e', 'target_level': 1300, 'twist_class_label': '260.2.f.a', 'twist_class_level': 260, 'twisting_char_label': '65.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 702558
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1300.2.d.d', 'source_level': 1300, 'target_char_orbit': 3, 'target_dim': 6, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '2340.2.c.d', 'target_level': 2340, 'twist_class_label': '260.2.f.a', 'twist_class_level': 260, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 702559
{'conductor': 195, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1300.2.d.d', 'source_level': 1300, 'target_char_orbit': 3, 'target_dim': 6, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '2340.2.c.d', 'target_level': 2340, 'twist_class_label': '260.2.f.a', 'twist_class_level': 260, 'twisting_char_label': '195.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 702560
{'conductor': 65, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1300.2.d.d', 'source_level': 1300, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '3380.2.a.m', 'target_level': 3380, 'twist_class_label': '260.2.f.a', 'twist_class_level': 260, 'twisting_char_label': '65.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 702561
{'conductor': 65, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1300.2.d.d', 'source_level': 1300, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '3380.2.a.n', 'target_level': 3380, 'twist_class_label': '260.2.f.a', 'twist_class_level': 260, 'twisting_char_label': '65.f', 'twisting_char_orbit': 6, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1843225
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 13511005074097428, 'p': 2}
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id: 1843226
{'charpoly_factorization': [[[4, 0, 36, 0, 12, 0, 1], 1]], 'hecke_orbit_code': 13511005074097428, 'p': 3}
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id: 1843227
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 13511005074097428, 'p': 5}
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id: 1843228
{'charpoly_factorization': [[[12, -12, 0, 1], 2]], 'hecke_orbit_code': 13511005074097428, 'p': 7}
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id: 1843229
{'charpoly_factorization': [[[324, 0, 216, 0, 36, 0, 1], 1]], 'hecke_orbit_code': 13511005074097428, 'p': 11}
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id: 1843230
{'charpoly_factorization': [[[2197, -1014, 351, -132, 27, -6, 1], 1]], 'hecke_orbit_code': 13511005074097428, 'p': 13}
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id: 1843231
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 13511005074097428, 'p': 17}
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id: 1843232
{'charpoly_factorization': [[[12996, 0, 2304, 0, 96, 0, 1], 1]], 'hecke_orbit_code': 13511005074097428, 'p': 19}
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id: 1843233
{'charpoly_factorization': [[[30276, 0, 2988, 0, 96, 0, 1], 1]], 'hecke_orbit_code': 13511005074097428, 'p': 23}
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id: 1843234
{'charpoly_factorization': [[[84, -12, -6, 1], 2]], 'hecke_orbit_code': 13511005074097428, 'p': 29}
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id: 1843235
{'charpoly_factorization': [[[4356, 0, 936, 0, 60, 0, 1], 1]], 'hecke_orbit_code': 13511005074097428, 'p': 31}
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id: 1843236
{'charpoly_factorization': [[[252, 0, -12, 1], 2]], 'hecke_orbit_code': 13511005074097428, 'p': 37}
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id: 1843237
{'charpoly_factorization': [[[5184, 0, 2160, 0, 108, 0, 1], 1]], 'hecke_orbit_code': 13511005074097428, 'p': 41}
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id: 1843238
{'charpoly_factorization': [[[2116, 0, 2316, 0, 120, 0, 1], 1]], 'hecke_orbit_code': 13511005074097428, 'p': 43}
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id: 1843239
{'charpoly_factorization': [[[468, -36, -12, 1], 2]], 'hecke_orbit_code': 13511005074097428, 'p': 47}
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id: 1843240
{'charpoly_factorization': [[[576, 0, 6768, 0, 204, 0, 1], 1]], 'hecke_orbit_code': 13511005074097428, 'p': 53}
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id: 1843241
{'charpoly_factorization': [[[171396, 0, 12528, 0, 216, 0, 1], 1]], 'hecke_orbit_code': 13511005074097428, 'p': 59}
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id: 1843242
{'charpoly_factorization': [[[-532, -96, 6, 1], 2]], 'hecke_orbit_code': 13511005074097428, 'p': 61}
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id: 1843243
{'charpoly_factorization': [[[588, -48, -12, 1], 2]], 'hecke_orbit_code': 13511005074097428, 'p': 67}
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id: 1843244
{'charpoly_factorization': [[[492804, 0, 46656, 0, 432, 0, 1], 1]], 'hecke_orbit_code': 13511005074097428, 'p': 71}
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id: 1843245
{'charpoly_factorization': [[[252, 144, 24, 1], 2]], 'hecke_orbit_code': 13511005074097428, 'p': 73}
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id: 1843246
{'charpoly_factorization': [[[1696, -144, -12, 1], 2]], 'hecke_orbit_code': 13511005074097428, 'p': 79}
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id: 1843247
{'charpoly_factorization': [[[252, 0, -12, 1], 2]], 'hecke_orbit_code': 13511005074097428, 'p': 83}
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id: 1843248
{'charpoly_factorization': [[[4064256, 0, 96768, 0, 576, 0, 1], 1]], 'hecke_orbit_code': 13511005074097428, 'p': 89}
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id: 1843249
{'charpoly_factorization': [[[24, 60, 18, 1], 2]], 'hecke_orbit_code': 13511005074097428, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 4, 'hecke_orbit': 4, 'label': '1300.2.d.d', 'level': 1300, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 140521000
{'hecke_orbit_code': 13511005074097428, 'n': 1, 'trace_an': 6}
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id: 140521001
{'hecke_orbit_code': 13511005074097428, 'n': 2, 'trace_an': 0}
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id: 140521002
{'hecke_orbit_code': 13511005074097428, 'n': 3, 'trace_an': 0}
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id: 140521003
{'hecke_orbit_code': 13511005074097428, 'n': 4, 'trace_an': 0}
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id: 140521004
{'hecke_orbit_code': 13511005074097428, 'n': 5, 'trace_an': 0}
-
id: 140521005
{'hecke_orbit_code': 13511005074097428, 'n': 6, 'trace_an': 0}
-
id: 140521006
{'hecke_orbit_code': 13511005074097428, 'n': 7, 'trace_an': 0}
-
id: 140521007
{'hecke_orbit_code': 13511005074097428, 'n': 8, 'trace_an': 0}
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id: 140521008
{'hecke_orbit_code': 13511005074097428, 'n': 9, 'trace_an': -6}
-
id: 140521009
{'hecke_orbit_code': 13511005074097428, 'n': 10, 'trace_an': 0}
-
id: 140521010
{'hecke_orbit_code': 13511005074097428, 'n': 11, 'trace_an': 0}
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id: 140521011
{'hecke_orbit_code': 13511005074097428, 'n': 12, 'trace_an': 0}
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id: 140521012
{'hecke_orbit_code': 13511005074097428, 'n': 13, 'trace_an': 6}
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id: 140521013
{'hecke_orbit_code': 13511005074097428, 'n': 14, 'trace_an': 0}
-
id: 140521014
{'hecke_orbit_code': 13511005074097428, 'n': 15, 'trace_an': 0}
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id: 140521015
{'hecke_orbit_code': 13511005074097428, 'n': 16, 'trace_an': 0}
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id: 140521016
{'hecke_orbit_code': 13511005074097428, 'n': 17, 'trace_an': 0}
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id: 140521017
{'hecke_orbit_code': 13511005074097428, 'n': 18, 'trace_an': 0}
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id: 140521018
{'hecke_orbit_code': 13511005074097428, 'n': 19, 'trace_an': 0}
-
id: 140521019
{'hecke_orbit_code': 13511005074097428, 'n': 20, 'trace_an': 0}
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id: 140521020
{'hecke_orbit_code': 13511005074097428, 'n': 21, 'trace_an': 0}
-
id: 140521021
{'hecke_orbit_code': 13511005074097428, 'n': 22, 'trace_an': 0}
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id: 140521022
{'hecke_orbit_code': 13511005074097428, 'n': 23, 'trace_an': 0}
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id: 140521023
{'hecke_orbit_code': 13511005074097428, 'n': 24, 'trace_an': 0}
-
id: 140521024
{'hecke_orbit_code': 13511005074097428, 'n': 25, 'trace_an': 0}
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id: 140521025
{'hecke_orbit_code': 13511005074097428, 'n': 26, 'trace_an': 0}
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id: 140521026
{'hecke_orbit_code': 13511005074097428, 'n': 27, 'trace_an': 0}
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id: 140521027
{'hecke_orbit_code': 13511005074097428, 'n': 28, 'trace_an': 0}
-
id: 140521028
{'hecke_orbit_code': 13511005074097428, 'n': 29, 'trace_an': 12}
-
id: 140521029
{'hecke_orbit_code': 13511005074097428, 'n': 30, 'trace_an': 0}
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id: 140521030
{'hecke_orbit_code': 13511005074097428, 'n': 31, 'trace_an': 0}
-
id: 140521031
{'hecke_orbit_code': 13511005074097428, 'n': 32, 'trace_an': 0}
-
id: 140521032
{'hecke_orbit_code': 13511005074097428, 'n': 33, 'trace_an': 12}
-
id: 140521033
{'hecke_orbit_code': 13511005074097428, 'n': 34, 'trace_an': 0}
-
id: 140521034
{'hecke_orbit_code': 13511005074097428, 'n': 35, 'trace_an': 0}
-
id: 140521035
{'hecke_orbit_code': 13511005074097428, 'n': 36, 'trace_an': 0}
-
id: 140521036
{'hecke_orbit_code': 13511005074097428, 'n': 37, 'trace_an': 24}
-
id: 140521037
{'hecke_orbit_code': 13511005074097428, 'n': 38, 'trace_an': 0}
-
id: 140521038
{'hecke_orbit_code': 13511005074097428, 'n': 39, 'trace_an': -12}
-
id: 140521039
{'hecke_orbit_code': 13511005074097428, 'n': 40, 'trace_an': 0}
-
id: 140521040
{'hecke_orbit_code': 13511005074097428, 'n': 41, 'trace_an': 0}
-
id: 140521041
{'hecke_orbit_code': 13511005074097428, 'n': 42, 'trace_an': 0}
-
id: 140521042
{'hecke_orbit_code': 13511005074097428, 'n': 43, 'trace_an': 0}
-
id: 140521043
{'hecke_orbit_code': 13511005074097428, 'n': 44, 'trace_an': 0}
-
id: 140521044
{'hecke_orbit_code': 13511005074097428, 'n': 45, 'trace_an': 0}
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