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mf_newforms • Show schema
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{'Nk2': 13320, 'analytic_conductor': 26.590183873086367, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [3330, 2, [371, 667, 631], [2, 1, 2]], 'cm_discs': [], 'conrey_index': 1999, 'dim': 4, 'field_disc': 144, 'field_disc_factorization': [[2, 4], [3, 2]], 'field_poly': [1, 0, -1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 12, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [121, 0, 26, 0, 1]], [11, [-3, 0, 1]], [17, [9, 0, 42, 0, 1]], [29, [-3, 1]]], 'hecke_orbit': 9, 'hecke_orbit_code': 36029003210951938, 'hecke_ring_generator_nbound': 11, '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, 5, 2, 1, 2, 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': '3330.2.d.i', 'level': 3330, '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': [2, 3, 5, 37], 'level_radical': 1110, 'minimal_twist': '3330.2.d.i', 'nf_label': '4.0.144.1', 'prim_orbit_index': 2, 'qexp_display': 'q+\\zeta_{12}q^{2}-q^{4}+(-1-2\\zeta_{12})q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3330.2.d', 'trace_display': [0, 0, -4, 0], 'trace_hash': 2037343041725752233, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.024', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.174', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.198', 'prec': 17}, 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mf_hecke_cc • Show schema
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'dual_embedding_m': 4, 'embedding_index': 1, 'embedding_m': 1, 'embedding_root_imag': -0.5, 'embedding_root_real': -0.8660254037844386, 'hecke_orbit': 9, 'hecke_orbit_code': 36029003210951938, 'label': '3330.2.d.i.1999.1', 'level': 3330, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 13320, 'analytic_conductor': 26.590183873086367, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [3330, 2, [371, 667, 631], [2, 1, 2]], 'conrey_index': 1999, 'cusp_dim': 668, 'dim': 90, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 17, 29], 'hecke_orbit_code': 206191987970, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 6, 8, 10, 14, 14], 'label': '3330.2.d', 'level': 3330, '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': [2, 3, 5, 37], 'level_radical': 1110, 'mf_dim': 700, 'mf_new_dim': 90, 'num_forms': 18, 'prim_orbit_index': 2, 'relative_dim': 90, 'sturm_bound': 1368, 'trace_bound': 14, 'trace_display': [0, 0, -4, 0], 'traces': [90, 0, 0, -90, -4, 0, 0, 0, 0, 4, 16, 0, 0, 4, 0, 90, 0, 0, 12, 4, 0, 0, 0, 0, -8, 0, 0, 0, -16, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, 0, 0, -16, 0, -12, 0, 0, -78, -8, 0, 0, 0, 0, 20, -4, 0, 0, -4, 0, 0, 0, 0, -90, -24, 0, 0, 0, 0, 0, -8, 0, 0, 10, 0, -12, 0, 0, 32, -4, 0, 0, 0, 0, -12, 52, 0, 0, 60, 0, -112, 0, 0, 28, -4, 0, 0, 0, 0, 8, -52, 0, 0, 0, 0, 20, 0, 0, 24, -18, 0, 0, 0, 0, 4, 16, 0, 0, 64, 0, 82, 0, 0, 8, -4, 0, 0, 0, 0, -16, -20, 0, 0, -32, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 4, -40, 0, 0, 36, 0, -8, 0, 0, -40, -2, 0, 0, 0, 0, 4, 32, 0, 0, -4, 0, 24, 0, 0, 14, -36, 0, 0, 0, 0, 36, 16, 0, 0, -76, 0, 36, 0, 0, 12, 0, 0, 0, 0, 0, -12, 56, 0, 0, -56, 0, 78, 0, 0, 8, 8, 0, 0, 0, 0, -72, 68, 0, 0, 80, 0, 8, 0, 0, -40, -68, 0, 0, 0, 0, -20, 152, 0, 0, 4, 0, 56, 0, 0, 108, -8, 0, 0, 0, 0, 8, 4, 0, 0, -200, 0, -92, 0, 0, 0, -108, 0, 0, 0, 0, -16, -76, 0, 0, 20, 0, 90, 0, 0, -8, 24, 0, 0, 0, 0, -4, 128, 0, 0, -20, 0, -16, 0, 0, -16, 52, 0, 0, 0, 0, 0, 4, 0, 0, 8, 0, 96, 0, 0, -162, 16, 0, 0, 0, 0, -4, -10, 0, 0, -124, 0, 80, 0, 0, 12, 110, 0, 0, 0, 0, -68, -32, 0, 0, 84, 0, -32, 0, 0, -24, 4, 0, 0, 0, 0, -176, 12, 0, 0, 96, 0, 108, 0, 0, 76, -140, 0, 0, 0, 0, 12, -192, 0, 0, -52, 0, -20, 0, 0, 44, -12, 0, 0, 0, 0, 40, -60, 0, 0, 40, 0, 194, 0, 0, 112, 104, 0, 0, 0, 0, 0, 188, 0, 0, -60, 0, -28, 0, 0, 20, 4, 0, 0, 0, 0, -136, -44, 0, 0, -256, 0, 88, 0, 0, 4, 72, 0, 0, 0, 0, -8, 92, 0, 0, 52, 0, -44, 0, 0, -220, 76, 0, 0, 0, 0, -24, 0, 0, 0, -36, 0, -24, 0, 0, -20, 88, 0, 0, 0, 0, -72, 48, 0, 0, -52, 0, -24, 0, 0, -104, 18, 0, 0, 0, 0, 172, -20, 0, 0, -44, 0, -92, 0, 0, 132, -32, 0, 0, 0, 0, -4, 192, 0, 0, -16, 0, -64, 0, 0, 104, 32, 0, 0, 0, 0, 56, -64, 0, 0, 80, 0, 24, 0, 0, -82, 16, 0, 0, 0, 0, -108, 124, 0, 0, -32, 0, -8, 0, 0, 140, 4, 0, 0, 0, 0, -36, 24, 0, 0, -44, 0, 120, 0, 0, 156, 118, 0, 0, 0, 0, 16, 24, 0, 0, 20, 0, -44, 0, 0, 10, -144, 0, 0, 0, 0, -112, 32, 0, 0, -44, 0, -16, 0, 0, 0, -60, 0, 0, 0, 0, -88, -80, 0, 0, 24, 0, 56, 0, 0, -320, 0, 0, 0, 0, 0, 8, -48, 0, 0, -116, 0, 80, 0, 0, -48, 28, 0, 0, 0, 0, -4, -56, 0, 0, 40, 0, 60, 0, 0, -96, -32, 0, 0, 0, 0, -172, -36, 0, 0, -184, 0, 156, 0, 0, 8, 76, 0, 0, 0, 0, 8, 192, 0, 0, 168, 0, 40, 0, 0, -152, 2, 0, 0, 0, 0, -144, -44, 0, 0, 36, 0, 16, 0, 0, -100, -136, 0, 0, 0, 0, -4, 276, 0, 0, -32, 0, 8, 0, 0, 88, -198, 0, 0, 0, 0, -132, 4, 0, 0, 220, 0, 216, 0, 0, -24, -280, 0, 0, 0, 0, -54, -96, 0, 0, -80, 0, -14, 0, 0, 80, 36, 0, 0, 0, 0, -104, -32, 0, 0, 120, 0, 348, 0, 0, 96, 8, 0, 0, 0, 0, -36, -168, 0, 0, -16, 0, -80, 0, 0, -16, -132, 0, 0, 0, 0, 146, 76, 0, 0, 200, 0, 464, 0, 0, -36, -296, 0, 0, 0, 0, 74, 68, 0, 0, -164, 0, -12, 0, 0, 88, 0, 0, 0, 0, 0, -112, 44, 0, 0, -344, 0, 0, 0, 0, 8, -60, 0, 0, 0, 0, 12, 204, 0, 0, -56, 0, 48, 0, 0, -316, 32, 0, 0, 0, 0, -128, 56, 0, 0, 256, 0, -80, 0, 0, -78, -20, 0, 0, 0, 0, 24, 64, 0, 0, 172, 0, -8, 0, 0, -8, -8, 0, 0, 0, 0, -168, 8, 0, 0, 12, 0, 188, 0, 0, -12, -320, 0, 0, 0, 0, 72, 436, 0, 0, -68, 0, 0, 0, 0, 136, -36, 0, 0, 0, 0, 166, -80, 0, 0, -120, 0, 38, 0, 0, -8, 260, 0, 0, 0, 0, -12, -36, 0, 0, -84, 0, 40, 0, 0, -388, 68, 0, 0, 0, 0, -224, 48, 0, 0, 160, 0, 272, 0, 0, -40, 36, 0, 0, 0, 0, 20, -44, 0, 0, -152, 0, 304, 0, 0, -128, -32, 0, 0, 0, 0, -100, -4, 0, 0, -52, 0, 120, 0, 0, -56, -164, 0, 0, 0, 0, -28, -208, 0, 0, 192, 0, -108, 0, 0, 32, 8, 0, 0, 0, 0, 8, 172, 0, 0, -124, 0, -124, 0, 0, 156, -108, 0, 0, 0, 0, -8, -4, 0, 0, -4, 0, 68, 0, 0, 160, -40, 0, 0, 0, 0, 230, 200, 0, 0, 448, 0, -38, 0, 0, 92, 220, 0, 0, 0, 0, -184, -24, 0, 0, -88, 0, 0, 0, 0, 144, 108, 0, 0, 0, 0, -204, -48, 0, 0, 344, 0, 96, 0, 0, -128, 188, 0, 0, 0, 0, 16], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 46624403
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1999, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36029003210951938, 'source_is_minimal': True, 'source_label': '3330.2.d.i.1999.1', 'source_level': 3330, 'target_conrey_index': 1999, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36029003210951938, 'target_is_minimal': True, 'target_label': '3330.2.d.i.1999.1', 'target_level': 3330, 'twist_class_label': '3330.2.d.i.1999.1', 'twist_class_level': 3330, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 46624404
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1999, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36029003210951938, 'source_is_minimal': True, 'source_label': '3330.2.d.i.1999.1', 'source_level': 3330, 'target_conrey_index': 1999, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 49539802093063426, 'target_is_minimal': True, 'target_label': '3330.2.d.l.1999.3', 'target_level': 3330, 'twist_class_label': '3330.2.d.i.1999.1', 'twist_class_level': 3330, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46624405
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1999, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36029003210951938, 'source_is_minimal': True, 'source_label': '3330.2.d.i.1999.1', 'source_level': 3330, 'target_conrey_index': 1999, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 36029003210951938, 'target_is_minimal': True, 'target_label': '3330.2.d.i.1999.4', 'target_level': 3330, 'twist_class_label': '3330.2.d.i.1999.1', 'twist_class_level': 3330, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 46624406
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1999, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36029003210951938, 'source_is_minimal': True, 'source_label': '3330.2.d.i.1999.1', 'source_level': 3330, 'target_conrey_index': 1999, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 49539802093063426, 'target_is_minimal': True, 'target_label': '3330.2.d.l.1999.2', 'target_level': 3330, 'twist_class_label': '3330.2.d.i.1999.1', 'twist_class_level': 3330, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3126050
{'charpoly_factorization': [[[1, 0, 1], 2]], 'hecke_orbit_code': 36029003210951938, 'p': 2}
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id: 3126051
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 36029003210951938, 'p': 3}
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id: 3126052
{'charpoly_factorization': [[[5, 2, 1], 2]], 'hecke_orbit_code': 36029003210951938, 'p': 5}
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id: 3126053
{'charpoly_factorization': [[[121, 0, 26, 0, 1], 1]], 'hecke_orbit_code': 36029003210951938, 'p': 7}
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id: 3126054
{'charpoly_factorization': [[[-3, 0, 1], 2]], 'hecke_orbit_code': 36029003210951938, 'p': 11}
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id: 3126055
{'charpoly_factorization': [[[16, 0, 1], 2]], 'hecke_orbit_code': 36029003210951938, 'p': 13}
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id: 3126056
{'charpoly_factorization': [[[9, 0, 42, 0, 1], 1]], 'hecke_orbit_code': 36029003210951938, 'p': 17}
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id: 3126057
{'charpoly_factorization': [[[-48, 0, 1], 2]], 'hecke_orbit_code': 36029003210951938, 'p': 19}
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id: 3126058
{'charpoly_factorization': [[[64, 0, 32, 0, 1], 1]], 'hecke_orbit_code': 36029003210951938, 'p': 23}
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id: 3126059
{'charpoly_factorization': [[[-3, 1], 4]], 'hecke_orbit_code': 36029003210951938, 'p': 29}
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id: 3126060
{'charpoly_factorization': [[[13, 8, 1], 2]], 'hecke_orbit_code': 36029003210951938, 'p': 31}
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id: 3126061
{'charpoly_factorization': [[[1, 0, 1], 2]], 'hecke_orbit_code': 36029003210951938, 'p': 37}
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id: 3126062
{'charpoly_factorization': [[[-11, -8, 1], 2]], 'hecke_orbit_code': 36029003210951938, 'p': 41}
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id: 3126063
{'charpoly_factorization': [[[529, 0, 62, 0, 1], 1]], 'hecke_orbit_code': 36029003210951938, 'p': 43}
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id: 3126064
{'charpoly_factorization': [[[2704, 0, 152, 0, 1], 1]], 'hecke_orbit_code': 36029003210951938, 'p': 47}
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id: 3126065
{'charpoly_factorization': [[[1, 0, 14, 0, 1], 1]], 'hecke_orbit_code': 36029003210951938, 'p': 53}
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id: 3126066
{'charpoly_factorization': [[[24, -12, 1], 2]], 'hecke_orbit_code': 36029003210951938, 'p': 59}
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id: 3126067
{'charpoly_factorization': [[[-27, 0, 1], 2]], 'hecke_orbit_code': 36029003210951938, 'p': 61}
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id: 3126068
{'charpoly_factorization': [[[64, 0, 32, 0, 1], 1]], 'hecke_orbit_code': 36029003210951938, 'p': 67}
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id: 3126069
{'charpoly_factorization': [[[-12, 12, 1], 2]], 'hecke_orbit_code': 36029003210951938, 'p': 71}
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id: 3126070
{'charpoly_factorization': [[[8464, 0, 248, 0, 1], 1]], 'hecke_orbit_code': 36029003210951938, 'p': 73}
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id: 3126071
{'charpoly_factorization': [[[52, -16, 1], 2]], 'hecke_orbit_code': 36029003210951938, 'p': 79}
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id: 3126072
{'charpoly_factorization': [[[576, 0, 96, 0, 1], 1]], 'hecke_orbit_code': 36029003210951938, 'p': 83}
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id: 3126073
{'charpoly_factorization': [[[24, -12, 1], 2]], 'hecke_orbit_code': 36029003210951938, 'p': 89}
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id: 3126074
{'charpoly_factorization': [[[57121, 0, 494, 0, 1], 1]], 'hecke_orbit_code': 36029003210951938, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 4, 'hecke_orbit': 9, 'label': '3330.2.d.i', 'level': 3330, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 52001425
{'hecke_orbit_code': 36029003210951938, 'n': 1, 'trace_an': 4}
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id: 52001426
{'hecke_orbit_code': 36029003210951938, 'n': 2, 'trace_an': 0}
-
id: 52001427
{'hecke_orbit_code': 36029003210951938, 'n': 3, 'trace_an': 0}
-
id: 52001428
{'hecke_orbit_code': 36029003210951938, 'n': 4, 'trace_an': -4}
-
id: 52001429
{'hecke_orbit_code': 36029003210951938, 'n': 5, 'trace_an': -4}
-
id: 52001430
{'hecke_orbit_code': 36029003210951938, 'n': 6, 'trace_an': 0}
-
id: 52001431
{'hecke_orbit_code': 36029003210951938, 'n': 7, 'trace_an': 0}
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id: 52001432
{'hecke_orbit_code': 36029003210951938, 'n': 8, 'trace_an': 0}
-
id: 52001433
{'hecke_orbit_code': 36029003210951938, 'n': 9, 'trace_an': 0}
-
id: 52001434
{'hecke_orbit_code': 36029003210951938, 'n': 10, 'trace_an': 8}
-
id: 52001435
{'hecke_orbit_code': 36029003210951938, 'n': 11, 'trace_an': 0}
-
id: 52001436
{'hecke_orbit_code': 36029003210951938, 'n': 12, 'trace_an': 0}
-
id: 52001437
{'hecke_orbit_code': 36029003210951938, 'n': 13, 'trace_an': 0}
-
id: 52001438
{'hecke_orbit_code': 36029003210951938, 'n': 14, 'trace_an': -4}
-
id: 52001439
{'hecke_orbit_code': 36029003210951938, 'n': 15, 'trace_an': 0}
-
id: 52001440
{'hecke_orbit_code': 36029003210951938, 'n': 16, 'trace_an': 4}
-
id: 52001441
{'hecke_orbit_code': 36029003210951938, 'n': 17, 'trace_an': 0}
-
id: 52001442
{'hecke_orbit_code': 36029003210951938, 'n': 18, 'trace_an': 0}
-
id: 52001443
{'hecke_orbit_code': 36029003210951938, 'n': 19, 'trace_an': 0}
-
id: 52001444
{'hecke_orbit_code': 36029003210951938, 'n': 20, 'trace_an': 4}
-
id: 52001445
{'hecke_orbit_code': 36029003210951938, 'n': 21, 'trace_an': 0}
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