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mf_newforms • Show schema
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{'Nk2': 12240, 'analytic_conductor': 24.434223018511798, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 17, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 2, 'char_parity': 1, 'char_values': [3060, 2, [1531, 1361, 1837, 1261], [2, 2, 2, 1]], 'cm_discs': [], 'conrey_index': 1801, 'dim': 4, 'field_disc': 2704, 'field_disc_factorization': [[2, 4], [13, 2]], 'field_poly': [9, 0, 7, 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': [[7, [13, 0, 1]], [11, [1, 0, 1]], [47, [-117, 0, 1]]], 'hecke_orbit': 9, 'hecke_orbit_code': 36029071930428404, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 51, 3, -1, 2, 0], [1, 1, 3, 2, -1, 2, 0], [1, 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mf_hecke_nf • Show schema
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1], 'hecke_orbit_code': 36029071930428404, 'hecke_ring_character_values': [[1531, [1, 0, 0, 0]], [1361, [1, 0, 0, 0]], [1837, [1, 0, 0, 0]], [1261, [-1, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 3, 3, 1], 'hecke_ring_inverse_denominators': [1, 2, 2, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, -1, 1, 0], [-7, 0, 0, 1], [0, 5, -2, 0]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 4, 0, 1], [0, 10, 0, 1], [7, 0, 2, 0]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '3060.2.e.i', 'level': 3060, 'maxp': 1999, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 12240, 'analytic_conductor': 24.434223018511798, 'char_conductor': 17, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 2, 'char_parity': 1, 'char_values': [3060, 2, [1531, 1361, 1837, 1261], [2, 2, 2, 1]], 'conrey_index': 1801, 'cusp_dim': 624, 'dim': 30, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 47], 'hecke_orbit_code': 274911464436, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 4, 4, 4, 6], 'label': '3060.2.e', 'level': 3060, '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, 17], 'level_radical': 510, 'mf_dim': 672, 'mf_new_dim': 30, 'num_forms': 10, 'prim_orbit_index': 2, 'relative_dim': 30, 'sturm_bound': 1296, 'trace_bound': 19, 'trace_display': [0, 0, 0, 0], 'traces': [30, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 16, 0, 0, 0, 0, 0, -30, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, -70, 0, 0, 0, -28, 0, -16, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, -52, 0, 0, 0, 0, 0, 16, 0, -4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, -20, 0, -22, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, -4, 0, -48, 0, 0, 0, 4, 0, -36, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -54, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, -8, 0, 80, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -124, 0, 0, 0, -100, 0, -32, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, -48, 0, -68, 0, 0, 0, -88, 0, 80, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 128, 0, -2, 0, 0, 0, 140, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 44, 0, -88, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -28, 0, 0, 0, -20, 0, 32, 0, 0, 0, -88, 0, 86, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, -152, 0, 0, 0, 0, 0, 0, 0, 0, 0, -168, 0, 0, 0, 0, 0, 100, 0, 124, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 76, 0, 0, 0, 6, 0, -8, 0, 0, 0, 0, 0, 184, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 88, 0, 0, 0, -52, 0, 64, 0, 0, 0, -132, 0, -56, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 128, 0, 24, 0, 0, 0, -20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 36, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, -32, 0, -62, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 132, 0, 0, 0, 24, 0, 8, 0, 0, 0, 64, 0, -44, 0, 0, 0, -44, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, -28, 0, -16, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, -20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 30, 0, 0, 0, -112, 0, 208, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 152, 0, 0, 0, 0, 0, 0, 0, -28, 0, 0, 0, -8, 0, -44, 0, 0, 0, 8, 0, 80, 0, 0, 0, 176, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, -52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 204, 0, -20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 216, 0, 0, 0, -100, 0, 204, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 68, 0, 240, 0, 0, 0, 40, 0, -212, 0, 0, 0, -224, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20, 0, 68, 0, 0, 0, 216, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -132, 0, 0, 0, 34, 0, -16, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 312, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, -16, 0, -72, 0, 0, 0, -56, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 272, 0, 0, 0, 0, 0, 0, 0, 0, 0, -136, 0, 0, 0, 0, 0, -80, 0, -60, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, -256, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 60, 0, 180, 0, 0, 0, 0, 0, -216, 0, 0, 0, 0, 0, 0, 0, 0, 0, -184, 0, 0, 0, 0, 0, 0, 0, -326, 0, 0, 0, 20, 0, -360, 0, 0, 0, 56, 0, -348, 0, 0, 0, 44, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, 0, 0, -52, 0, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1042661
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': True, 'source_label': '3060.2.e.i', 'source_level': 3060, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': True, 'target_label': '3060.2.e.i', 'target_level': 3060, 'twist_class_label': '3060.2.e.i', 'twist_class_level': 3060, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1042662
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': True, 'source_label': '3060.2.e.i', 'source_level': 3060, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': True, 'target_label': '3060.2.e.i', 'target_level': 3060, 'twist_class_label': '3060.2.e.i', 'twist_class_level': 3060, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1042663
{'conductor': 17, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': True, 'source_label': '3060.2.e.i', 'source_level': 3060, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': True, 'target_label': '3060.2.e.i', 'target_level': 3060, 'twist_class_label': '3060.2.e.i', 'twist_class_level': 3060, 'twisting_char_label': '17.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1042664
{'conductor': 51, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': True, 'source_label': '3060.2.e.i', 'source_level': 3060, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': True, 'target_label': '3060.2.e.i', 'target_level': 3060, 'twist_class_label': '3060.2.e.i', 'twist_class_level': 3060, 'twisting_char_label': '51.c', 'twisting_char_orbit': 3, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2987375
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 36029071930428404, 'p': 2}
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id: 2987376
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 36029071930428404, 'p': 3}
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id: 2987377
{'charpoly_factorization': [[[1, 0, 1], 2]], 'hecke_orbit_code': 36029071930428404, 'p': 5}
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id: 2987378
{'charpoly_factorization': [[[13, 0, 1], 2]], 'hecke_orbit_code': 36029071930428404, 'p': 7}
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id: 2987379
{'charpoly_factorization': [[[1, 0, 1], 2]], 'hecke_orbit_code': 36029071930428404, 'p': 11}
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id: 2987380
{'charpoly_factorization': [[[-4, 1], 4]], 'hecke_orbit_code': 36029071930428404, 'p': 13}
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id: 2987381
{'charpoly_factorization': [[[289, 0, -18, 0, 1], 1]], 'hecke_orbit_code': 36029071930428404, 'p': 17}
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id: 2987382
{'charpoly_factorization': [[[-7, 1], 4]], 'hecke_orbit_code': 36029071930428404, 'p': 19}
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id: 2987383
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 36029071930428404, 'p': 23}
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id: 2987384
{'charpoly_factorization': [[[81, 0, 1], 2]], 'hecke_orbit_code': 36029071930428404, 'p': 29}
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id: 2987385
{'charpoly_factorization': [[[52, 0, 1], 2]], 'hecke_orbit_code': 36029071930428404, 'p': 31}
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id: 2987386
{'charpoly_factorization': [[[13, 0, 1], 2]], 'hecke_orbit_code': 36029071930428404, 'p': 37}
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id: 2987387
{'charpoly_factorization': [[[25, 0, 1], 2]], 'hecke_orbit_code': 36029071930428404, 'p': 41}
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id: 2987388
{'charpoly_factorization': [[[2, 1], 4]], 'hecke_orbit_code': 36029071930428404, 'p': 43}
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id: 2987389
{'charpoly_factorization': [[[-117, 0, 1], 2]], 'hecke_orbit_code': 36029071930428404, 'p': 47}
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id: 2987390
{'charpoly_factorization': [[[-13, 0, 1], 2]], 'hecke_orbit_code': 36029071930428404, 'p': 53}
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id: 2987391
{'charpoly_factorization': [[[-208, 0, 1], 2]], 'hecke_orbit_code': 36029071930428404, 'p': 59}
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id: 2987392
{'charpoly_factorization': [[[208, 0, 1], 2]], 'hecke_orbit_code': 36029071930428404, 'p': 61}
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id: 2987393
{'charpoly_factorization': [[[-8, 1], 4]], 'hecke_orbit_code': 36029071930428404, 'p': 67}
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id: 2987394
{'charpoly_factorization': [[[64, 0, 1], 2]], 'hecke_orbit_code': 36029071930428404, 'p': 71}
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id: 2987395
{'charpoly_factorization': [[[117, 0, 1], 2]], 'hecke_orbit_code': 36029071930428404, 'p': 73}
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id: 2987396
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 36029071930428404, 'p': 79}
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id: 2987397
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 36029071930428404, 'p': 83}
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id: 2987398
{'charpoly_factorization': [[[-208, 0, 1], 2]], 'hecke_orbit_code': 36029071930428404, 'p': 89}
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id: 2987399
{'charpoly_factorization': [[[52, 0, 1], 2]], 'hecke_orbit_code': 36029071930428404, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 5, 'hecke_orbit': 9, 'label': '3060.2.e.i', 'level': 3060, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 52046575
{'hecke_orbit_code': 36029071930428404, 'n': 1, 'trace_an': 4}
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id: 52046576
{'hecke_orbit_code': 36029071930428404, 'n': 2, 'trace_an': 0}
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id: 52046577
{'hecke_orbit_code': 36029071930428404, 'n': 3, 'trace_an': 0}
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id: 52046578
{'hecke_orbit_code': 36029071930428404, 'n': 4, 'trace_an': 0}
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id: 52046579
{'hecke_orbit_code': 36029071930428404, 'n': 5, 'trace_an': 0}
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id: 52046580
{'hecke_orbit_code': 36029071930428404, 'n': 6, 'trace_an': 0}
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id: 52046581
{'hecke_orbit_code': 36029071930428404, 'n': 7, 'trace_an': 0}
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id: 52046582
{'hecke_orbit_code': 36029071930428404, 'n': 8, 'trace_an': 0}
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id: 52046583
{'hecke_orbit_code': 36029071930428404, 'n': 9, 'trace_an': 0}
-
id: 52046584
{'hecke_orbit_code': 36029071930428404, 'n': 10, 'trace_an': 0}
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id: 52046585
{'hecke_orbit_code': 36029071930428404, 'n': 11, 'trace_an': 0}
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id: 52046586
{'hecke_orbit_code': 36029071930428404, 'n': 12, 'trace_an': 0}
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id: 52046587
{'hecke_orbit_code': 36029071930428404, 'n': 13, 'trace_an': 16}
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id: 52046588
{'hecke_orbit_code': 36029071930428404, 'n': 14, 'trace_an': 0}
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id: 52046589
{'hecke_orbit_code': 36029071930428404, 'n': 15, 'trace_an': 0}
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id: 52046590
{'hecke_orbit_code': 36029071930428404, 'n': 16, 'trace_an': 0}
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id: 52046591
{'hecke_orbit_code': 36029071930428404, 'n': 17, 'trace_an': 0}
-
id: 52046592
{'hecke_orbit_code': 36029071930428404, 'n': 18, 'trace_an': 0}
-
id: 52046593
{'hecke_orbit_code': 36029071930428404, 'n': 19, 'trace_an': 28}
-
id: 52046594
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