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mf_newforms • Show schema
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{'Nk2': 2280, 'analytic_conductor': 4.551472915212982, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 57, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 2, 'char_parity': 1, 'char_values': [570, 2, [191, 457, 211], [1, 2, 1]], 'cm_discs': [], 'conrey_index': 341, 'conrey_indexes': [341], 'dim': 8, 'field_disc': 7278137344, 'field_disc_factorization': [[2, 12], [31, 2], [43, 2]], 'field_poly': [81, -54, 9, 18, -20, 6, 1, -2, 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': [[7, [2, -4, -13, -2, 1]], [29, [-8, 24, -11, -2, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007542885679674, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 57, 4, 1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '570.2.f.c', 'level': 570, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 5, 19], 'level_radical': 570, 'minimal_twist': '570.2.f.c', 'nf_label': '8.0.7278137344.1', 'prim_orbit_index': 4, 'qexp_display': 'q-q^{2}+\\beta _{1}q^{3}+q^{4}+\\beta _{2}q^{5}-\\beta _{1}q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '570.2.f', 'trace_display': [-8, 2, 0, 4], 'trace_hash': 1791976613334411384, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.002', 'prec': 17}, {'__RealLiteral__': 0, 'data': '6.756', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.922', 'prec': 17}, {'__RealLiteral__': 0, 'data': '270.722', 'prec': 24}, 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mf_hecke_cc • Show schema
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3, 'embedding_root_imag': -1.7193711158664753, 'embedding_root_real': 0.2091959988242413, 'hecke_orbit': 3, 'hecke_orbit_code': 9007542885679674, 'label': '570.2.f.c.341.3', 'level': 570, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 2280, 'analytic_conductor': 4.551472915212982, 'char_conductor': 57, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 2, 'char_parity': 1, 'char_values': [570, 2, [191, 457, 211], [1, 2, 1]], 'conrey_index': 341, 'cusp_dim': 112, 'dim': 24, 'eis_dim': 16, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 29], 'hecke_orbit_code': 343630938682, 'hecke_orbit_dims': [4, 4, 8, 8], 'label': '570.2.f', 'level': 570, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 5, 19], 'level_radical': 570, 'mf_dim': 128, 'mf_new_dim': 24, 'num_forms': 4, 'prim_orbit_index': 4, 'relative_dim': 24, 'sturm_bound': 240, 'trace_bound': 2, 'trace_display': [0, 0, 0, 24], 'traces': [24, 0, 0, 24, 0, 4, 24, 0, -4, 0, 0, 0, 0, 0, 0, 24, 0, 0, 24, 0, 0, 0, 0, 4, -24, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 4, 0, 0, 12, -16, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, -4, -24, 0, 0, 64, 0, -84, 24, 0, -16, 0, 0, 0, 0, 0, 0, -56, 0, 0, 24, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, -16, 0, 0, 4, 0, 0, -64, -24, 0, 4, 0, 0, 0, 8, 0, 0, 0, 0, 32, 24, 0, -56, -32, 0, 0, -88, 0, 0, 56, 0, -88, 0, 0, 0, 0, 0, 0, -16, 0, 0, -32, 0, 0, 0, 0, -4, 0, 0, 0, 48, 0, -4, 0, 0, 0, 0, 0, -4, 0, 0, -100, 0, 0, 4, 0, 0, -44, 0, 0, 0, -80, 0, 0, 0, 0, 12, -16, 0, -16, -16, 0, 0, -24, 0, -20, -80, 0, -16, 0, 0, 0, 0, 0, 0, -32, 0, 0, -24, 0, 0, 0, 0, 8, 0, 0, 0, 40, 0, 84, 0, 0, 0, 0, 0, 20, 0, 0, 8, 0, 0, 24, -72, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 4, 112, 0, -4, 48, 0, 0, -24, 0, 108, 32, 0, 128, 0, 0, 0, 0, 0, 0, 64, 0, 0, -24, 0, 0, 0, 0, -84, 224, 0, 0, 24, 0, 16, 0, 0, 0, 0, 0, -16, 0, 0, 192, 0, 0, 24, 40, 0, 84, 0, 0, 0, 48, 0, 0, 0, 0, 88, -96, 0, 32, -80, 0, 0, 80, 0, 32, -56, 0, -96, 0, 0, 0, 0, 0, 0, 16, 0, 0, 24, 0, 0, 0, 0, 176, 16, 0, 0, -8, 0, -64, 0, 0, 0, 0, 0, 12, 0, 0, 12, 0, 0, 28, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, -12, 216, 0, 0, 0, 0, 36, -32, 0, 152, 0, 0, 0, 0, 0, 0, -32, 0, 0, 104, 0, 0, 0, 0, -40, -112, 0, 0, 16, 0, -16, 0, 0, 0, 0, 0, 48, 0, 0, 64, 0, 0, 4, 32, 0, -176, 0, 0, 0, -200, 0, 0, 0, 0, -64, -16, 0, 76, -24, 0, 0, -32, 0, -32, -120, 0, 4, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -8, 8, 0, 0, -144, 0, -32, 0, 0, 0, 0, 0, 64, 0, 0, -36, 0, 0, -104, 168, 0, 32, 0, 0, 0, 24, 0, 0, 0, 0, 56, -72, 0, -56, -184, 0, 0, -32, 0, 80, 80, 0, -24, 0, 0, 0, 0, 0, 0, -88, 0, 0, -24, 0, 0, 0, 0, 0, -208, 0, 0, 56, 0, -36, 0, 0, 0, 0, 0, -88, 0, 0, -40, 0, 0, 184, -144, 0, -72, 0, 0, 0, 128, 0, 0, 0, 0, 64, -152, 0, 104, 0, 0, 0, -192, 0, 8, -16, 0, 36, 0, 0, 0, 0, 0, 0, -112, 0, 0, -32, 0, 0, 0, 0, 48, -64, 0, 0, -544, 0, 32, 0, 0, 0, 0, 0, 24, 0, 0, -4, 0, 0, 112, 0, 0, 160, 0, 0, 0, 32, 0, 0, 0, 0, -244, 48, 0, 64, -176, 0, 0, -80, 0, -4, 184, 0, -88, 0, 0, 0, 0, 0, 0, 216, 0, 0, -144, 0, 0, 0, 0, 32, 32, 0, 0, 120, 0, -4, 0, 0, 0, 0, 0, -192, 0, 0, -156, 0, 0, -100, 224, 0, -88, 0, 0, 0, 48, 0, 0, 0, 0, 4, 24, 0, 112, 0, 0, 0, 256, 0, -204, -40, 0, -44, 0, 0, 0, 0, 0, 0, -16, 0, 0, 8, 0, 0, 0, 0, -96, -80, 0, 0, 144, 0, -212, 0, 0, 0, 0, 0, 188, 0, 0, 112, 0, 0, -200, 48, 0, 12, 0, 0, 0, -16, 0, 0, 0, 0, -172, 256, 0, -16, 144, 0, 0, -16, 0, -40, -64, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 16, 0, 0, 0, 0, -20, -16, 0, 0, -80, 0, -92, 0, 0, 0, 0, 0, -16, 0, 0, -288, 0, 0, -84, 24, 0, 296, 0, 0, 0, 176, 0, 0, 0, 0, 88, -176, 0, -152, -8, 0, 0, -112, 0, -40, -32, 0, 0, 0, 0, 0, 0, 0, 0, 352, 0, 0, -24, 0, 0, 0, 0, -72, 80, 0, 0, -104, 0, 112, 0, 0, 0, 0, 0, -112, 0, 0, 8, 0, 0, 160, 0, 0, 104, 0, 0, 0, 16, 0, 0, 0, 0, 104, 40, 0, -8, 176, 0, 0, 96, 0, 84, 96, 0, 200, 0, 0, 0, 0, 0, 0, -16, 0, 0, -32, 0, 0, 0, 0, -300, 376, 0, 0, 24, 0, 20, 0, 0, 0, 0, 0, 104, 0, 0, 96, 0, 0, 8, -160, 0, 8, 0, 0, 0, 72, 0, 0, 0, 0, 24, -48, 0, 56, -72, 0, 0, 512, 0, 168, -48, 0, -8, 0, 0, 0, 0, 0, 0, 264, 0, 0, 120, 0, 0, 0, 0, -60, 0, 0, 0, 464, 0, -136, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 132, -160, 0, 4, 0, 0, 0, 112, 0, 0, 0, 0, 112, 112, 0, -4, 448, 0, 0, 48, 0, 24, -8, 0, 344, 0, 0, 0, 0, 0, 0, -24, 0, 0, -8, 0, 0, 0, 0, 108, 24, 0, 0, 32, 0, 80, 0, 0, 0, 0, 0, 128, 0, 0, 164, 0, 0, 132, 112, 0, -320, 0, 0, 0, 152, 0, 0, 0, 0, -308, 176, 0, -92, -48, 0, 0, -304, 0, -4, 64, 0, -208, 0, 0, 0, 0, 0, 0, -96, 0, 0, -24, 0, 0, 0, 0, -44, -272, 0, 0, 64, 0, 272, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 40891699
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 341, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9007542885679674, 'source_is_minimal': True, 'source_label': '570.2.f.c.341.3', 'source_level': 570, 'target_conrey_index': 341, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007542885679674, 'target_is_minimal': True, 'target_label': '570.2.f.c.341.3', 'target_level': 570, 'twist_class_label': '570.2.f.c.341.3', 'twist_class_level': 570, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 40891700
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 341, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9007542885679674, 'source_is_minimal': True, 'source_label': '570.2.f.c.341.3', 'source_level': 570, 'target_conrey_index': 341, 'target_dim': 8, 'target_embedding_index': 5, 'target_hecke_orbit_code': 13511142513050170, 'target_is_minimal': True, 'target_label': '570.2.f.d.341.5', 'target_level': 570, 'twist_class_label': '570.2.f.c.341.3', 'twist_class_level': 570, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 40891701
{'conductor': 19, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 341, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9007542885679674, 'source_is_minimal': True, 'source_label': '570.2.f.c.341.3', 'source_level': 570, 'target_conrey_index': 341, 'target_dim': 8, 'target_embedding_index': 6, 'target_hecke_orbit_code': 13511142513050170, 'target_is_minimal': True, 'target_label': '570.2.f.d.341.6', 'target_level': 570, 'twist_class_label': '570.2.f.c.341.3', 'twist_class_level': 570, 'twisting_char_label': '19.18', 'twisting_conrey_index': 18, 'weight': 2}
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id: 40891702
{'conductor': 57, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 341, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9007542885679674, 'source_is_minimal': True, 'source_label': '570.2.f.c.341.3', 'source_level': 570, 'target_conrey_index': 341, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9007542885679674, 'target_is_minimal': True, 'target_label': '570.2.f.c.341.4', 'target_level': 570, 'twist_class_label': '570.2.f.c.341.3', 'twist_class_level': 570, 'twisting_char_label': '57.56', 'twisting_conrey_index': 56, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1059725
{'charpoly_factorization': [[[1, 1], 8]], 'hecke_orbit_code': 9007542885679674, 'p': 2}
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id: 1059726
{'charpoly_factorization': [[[81, -54, 9, 18, -20, 6, 1, -2, 1], 1]], 'hecke_orbit_code': 9007542885679674, 'p': 3}
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id: 1059727
{'charpoly_factorization': [[[1, 0, 1], 4]], 'hecke_orbit_code': 9007542885679674, 'p': 5}
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id: 1059728
{'charpoly_factorization': [[[2, -4, -13, -2, 1], 2]], 'hecke_orbit_code': 9007542885679674, 'p': 7}
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id: 1059729
{'charpoly_factorization': [[[4, 0, 1], 4]], 'hecke_orbit_code': 9007542885679674, 'p': 11}
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id: 1059730
{'charpoly_factorization': [[[256, 0, 480, 0, 265, 0, 38, 0, 1], 1]], 'hecke_orbit_code': 9007542885679674, 'p': 13}
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id: 1059731
{'charpoly_factorization': [[[100, 0, 5116, 0, 1069, 0, 66, 0, 1], 1]], 'hecke_orbit_code': 9007542885679674, 'p': 17}
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id: 1059732
{'charpoly_factorization': [[[130321, -82308, 28880, -7524, 1678, -396, 80, -12, 1], 1]], 'hecke_orbit_code': 9007542885679674, 'p': 19}
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id: 1059733
{'charpoly_factorization': [[[15376, 0, 25048, 0, 2761, 0, 94, 0, 1], 1]], 'hecke_orbit_code': 9007542885679674, 'p': 23}
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id: 1059734
{'charpoly_factorization': [[[-8, 24, -11, -2, 1], 2]], 'hecke_orbit_code': 9007542885679674, 'p': 29}
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id: 1059735
{'charpoly_factorization': [[[193600, 0, 42464, 0, 3252, 0, 100, 0, 1], 1]], 'hecke_orbit_code': 9007542885679674, 'p': 31}
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id: 1059736
{'charpoly_factorization': [[[16384, 0, 174080, 0, 11072, 0, 208, 0, 1], 1]], 'hecke_orbit_code': 9007542885679674, 'p': 37}
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id: 1059737
{'charpoly_factorization': [[[16, -24, -2, 8, 1], 2]], 'hecke_orbit_code': 9007542885679674, 'p': 41}
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id: 1059738
{'charpoly_factorization': [[[-176, -112, 88, 20, 1], 2]], 'hecke_orbit_code': 9007542885679674, 'p': 43}
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id: 1059739
{'charpoly_factorization': [[[430336, 0, 86016, 0, 5344, 0, 128, 0, 1], 1]], 'hecke_orbit_code': 9007542885679674, 'p': 47}
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id: 1059740
{'charpoly_factorization': [[[-424, -168, 33, 14, 1], 2]], 'hecke_orbit_code': 9007542885679674, 'p': 53}
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id: 1059741
{'charpoly_factorization': [[[118, 280, -161, -2, 1], 2]], 'hecke_orbit_code': 9007542885679674, 'p': 59}
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id: 1059742
{'charpoly_factorization': [[[3104, 848, -140, -8, 1], 2]], 'hecke_orbit_code': 9007542885679674, 'p': 61}
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id: 1059743
{'charpoly_factorization': [[[1849600, 0, 4202464, 0, 82801, 0, 510, 0, 1], 1]], 'hecke_orbit_code': 9007542885679674, 'p': 67}
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id: 1059744
{'charpoly_factorization': [[[-5440, -1696, -96, 12, 1], 2]], 'hecke_orbit_code': 9007542885679674, 'p': 71}
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id: 1059745
{'charpoly_factorization': [[[-1228, -764, -119, 2, 1], 2]], 'hecke_orbit_code': 9007542885679674, 'p': 73}
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id: 1059746
{'charpoly_factorization': [[[4326400, 0, 459904, 0, 16132, 0, 220, 0, 1], 1]], 'hecke_orbit_code': 9007542885679674, 'p': 79}
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id: 1059747
{'charpoly_factorization': [[[121000000, 0, 6119584, 0, 93076, 0, 540, 0, 1], 1]], 'hecke_orbit_code': 9007542885679674, 'p': 83}
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id: 1059748
{'charpoly_factorization': [[[11384, -4720, 698, -44, 1], 2]], 'hecke_orbit_code': 9007542885679674, 'p': 89}
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id: 1059749
{'charpoly_factorization': [[[65536, 0, 38912, 0, 4240, 0, 120, 0, 1], 1]], 'hecke_orbit_code': 9007542885679674, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 6, 'hecke_orbit': 3, 'label': '570.2.f.c', 'level': 570, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 118881000
{'hecke_orbit_code': 9007542885679674, 'n': 1, 'trace_an': 8}
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id: 118881001
{'hecke_orbit_code': 9007542885679674, 'n': 2, 'trace_an': -8}
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id: 118881002
{'hecke_orbit_code': 9007542885679674, 'n': 3, 'trace_an': 2}
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id: 118881003
{'hecke_orbit_code': 9007542885679674, 'n': 4, 'trace_an': 8}
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id: 118881004
{'hecke_orbit_code': 9007542885679674, 'n': 5, 'trace_an': 0}
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id: 118881005
{'hecke_orbit_code': 9007542885679674, 'n': 6, 'trace_an': -2}
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id: 118881006
{'hecke_orbit_code': 9007542885679674, 'n': 7, 'trace_an': 4}
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id: 118881007
{'hecke_orbit_code': 9007542885679674, 'n': 8, 'trace_an': -8}
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id: 118881008
{'hecke_orbit_code': 9007542885679674, 'n': 9, 'trace_an': 2}
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id: 118881009
{'hecke_orbit_code': 9007542885679674, 'n': 10, 'trace_an': 0}
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id: 118881010
{'hecke_orbit_code': 9007542885679674, 'n': 11, 'trace_an': 0}
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id: 118881011
{'hecke_orbit_code': 9007542885679674, 'n': 12, 'trace_an': 2}
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id: 118881012
{'hecke_orbit_code': 9007542885679674, 'n': 13, 'trace_an': 0}
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id: 118881013
{'hecke_orbit_code': 9007542885679674, 'n': 14, 'trace_an': -4}
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id: 118881014
{'hecke_orbit_code': 9007542885679674, 'n': 15, 'trace_an': 0}
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id: 118881015
{'hecke_orbit_code': 9007542885679674, 'n': 16, 'trace_an': 8}
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id: 118881016
{'hecke_orbit_code': 9007542885679674, 'n': 17, 'trace_an': 0}
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id: 118881017
{'hecke_orbit_code': 9007542885679674, 'n': 18, 'trace_an': -2}
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id: 118881018
{'hecke_orbit_code': 9007542885679674, 'n': 19, 'trace_an': 12}
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id: 118881019
{'hecke_orbit_code': 9007542885679674, 'n': 20, 'trace_an': 0}
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id: 118881020
{'hecke_orbit_code': 9007542885679674, 'n': 21, 'trace_an': 2}
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id: 118881021
{'hecke_orbit_code': 9007542885679674, 'n': 22, 'trace_an': 0}
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id: 118881022
{'hecke_orbit_code': 9007542885679674, 'n': 23, 'trace_an': 0}
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id: 118881023
{'hecke_orbit_code': 9007542885679674, 'n': 24, 'trace_an': -2}
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id: 118881024
{'hecke_orbit_code': 9007542885679674, 'n': 25, 'trace_an': -8}
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id: 118881025
{'hecke_orbit_code': 9007542885679674, 'n': 26, 'trace_an': 0}
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id: 118881026
{'hecke_orbit_code': 9007542885679674, 'n': 27, 'trace_an': -16}
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id: 118881027
{'hecke_orbit_code': 9007542885679674, 'n': 28, 'trace_an': 4}
-
id: 118881028
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