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mf_newforms • Show schema
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{'Nk2': 11700, 'analytic_conductor': 23.35624259122451, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [2925, 2, [326, 352, 2251], [2, 1, 2]], 'cm_discs': [], 'conrey_index': 2224, 'dim': 2, 'field_disc': -4, 'field_disc_factorization': [[-1, 1], [2, 2]], 'field_poly': [1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 4, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [1, 0, 1]], [7, [9, 0, 1]], [11, [-1, 1]]], 'hecke_orbit': 9, 'hecke_orbit_code': 36028934491474797, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], '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, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 11700, 'analytic_conductor': 23.35624259122451, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [2925, 2, [326, 352, 2251], [2, 1, 2]], 'conrey_index': 2224, 'cusp_dim': 396, 'dim': 90, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7, 11], 'hecke_orbit_code': 137472510829, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 12], 'label': '2925.2.c', 'level': 2925, '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': [3, 5, 13], 'level_radical': 195, 'mf_dim': 444, 'mf_new_dim': 90, 'num_forms': 26, 'prim_orbit_index': 2, 'relative_dim': 90, 'sturm_bound': 840, 'trace_bound': 19, 'trace_display': [0, 0, 0, 0], 'traces': [90, 0, 0, -98, 0, 0, 0, 0, 0, 0, -4, 0, 0, -20, 0, 106, 0, 0, -24, 0, 0, 0, 0, 0, 0, -6, 0, 0, -20, 0, 24, 0, 0, 32, 0, 0, 0, 0, 0, 0, -16, 0, 0, -36, 0, -28, 0, 0, -46, 0, 0, 0, 0, 0, 0, 116, 0, 0, 32, 0, 4, 0, 0, -178, 0, 0, 0, 0, 0, 0, -68, 0, 0, -84, 0, 104, 0, 0, -12, 0, 0, 0, 0, 0, 0, -44, 0, 0, -8, 0, 16, 0, 0, -28, 0, 0, 0, 0, 0, 0, 100, 0, 0, 18, 0, -12, 0, 0, 36, 0, 0, 0, 0, 0, 0, 32, 0, 0, -20, 0, 46, 0, 0, -44, 0, 0, 0, 0, 0, 0, 36, 0, 0, 36, 0, -48, 0, 0, -28, 0, 0, 0, 0, 0, 0, -60, 0, 0, 8, 0, -96, 0, 0, 124, 0, 0, 0, 0, 0, 0, 84, 0, 0, 124, 0, -140, 0, 0, -90, 0, 0, 0, 0, 0, 0, -20, 0, 0, -52, 0, -64, 0, 0, 128, 0, 0, 0, 0, 0, 0, 52, 0, 0, 36, 0, 94, 0, 0, 28, 0, 0, 0, 0, 0, 0, -60, 0, 0, -72, 0, 48, 0, 0, -188, 0, 0, 0, 0, 0, 0, -24, 0, 0, -188, 0, -136, 0, 0, -72, 0, 0, 0, 0, 0, 0, -52, 0, 0, 4, 0, 148, 0, 0, 280, 0, 0, 0, 0, 0, 0, 200, 0, 0, 116, 0, 426, 0, 0, -200, 0, 0, 0, 0, 0, 0, -152, 0, 0, 36, 0, 148, 0, 0, -76, 0, 0, 0, 0, 0, 0, -120, 0, 0, -184, 0, -28, 0, 0, -194, 0, 0, 0, 0, 0, 0, 132, 0, 0, 40, 0, -84, 0, 0, -16, 0, 0, 0, 0, 0, 0, -180, 0, 0, 216, 0, -56, 0, 0, -68, 0, 0, 0, 0, 0, 0, 312, 0, 0, -180, 0, 148, 0, 0, 264, 0, 0, 0, 0, 0, 0, 44, 0, 0, 240, 0, -152, 0, 0, 104, 0, 0, 0, 0, 0, 0, 260, 0, 0, 28, 0, 66, 0, 0, -52, 0, 0, 0, 0, 0, 0, -144, 0, 0, -220, 0, -92, 0, 0, -116, 0, 0, 0, 0, 0, 0, -204, 0, 0, 160, 0, -56, 0, 0, 44, 0, 0, 0, 0, 0, 0, -72, 0, 0, -152, 0, -60, 0, 0, 32, 0, 0, 0, 0, 0, 0, -82, 0, 0, 4, 0, 24, 0, 0, -160, 0, 0, 0, 0, 0, 0, 100, 0, 0, -228, 0, -212, 0, 0, 8, 0, 0, 0, 0, 0, 0, 120, 0, 0, -68, 0, 280, 0, 0, 92, 0, 0, 0, 0, 0, 0, -252, 0, 0, 184, 0, 272, 0, 0, 268, 0, 0, 0, 0, 0, 0, -76, 0, 0, -36, 0, 0, 0, 0, 106, 0, 0, 0, 0, 0, 0, 252, 0, 0, -24, 0, -92, 0, 0, -240, 0, 0, 0, 0, 0, 0, -16, 0, 0, 248, 0, 64, 0, 0, 236, 0, 0, 0, 0, 0, 0, 216, 0, 0, -136, 0, -120, 0, 0, -126, 0, 0, 0, 0, 0, 0, 108, 0, 0, 40, 0, -224, 0, 0, 184, 0, 0, 0, 0, 0, 0, 144, 0, 0, 376, 0, -176, 0, 0, -56, 0, 0, 0, 0, 0, 0, -608, 0, 0, -28, 0, 0, 0, 0, 480, 0, 0, 0, 0, 0, 0, -460, 0, 0, 148, 0, -124, 0, 0, 280, 0, 0, 0, 0, 0, 0, -68, 0, 0, 12, 0, -324, 0, 0, 372, 0, 0, 0, 0, 0, 0, -20, 0, 0, 80, 0, -836, 0, 0, -220, 0, 0, 0, 0, 0, 0, -324, 0, 0, 112, 0, 296, 0, 0, 124, 0, 0, 0, 0, 0, 0, 76, 0, 0, 320, 0, -216, 0, 0, 44, 0, 0, 0, 0, 0, 0, -436, 0, 0, 68, 0, 36, 0, 0, 468, 0, 0, 0, 0, 0, 0, 156, 0, 0, -60, 0, 98, 0, 0, 56, 0, 0, 0, 0, 0, 0, 388, 0, 0, 40, 0, 72, 0, 0, 532, 0, 0, 0, 0, 0, 0, -172, 0, 0, -292, 0, -836, 0, 0, -52, 0, 0, 0, 0, 0, 0, -104, 0, 0, -212, 0, -324, 0, 0, 688, 0, 0, 0, 0, 0, 0, 200, 0, 0, 108, 0, -584, 0, 0, -608, 0, 0, 0, 0, 0, 0, 348, 0, 0, 36, 0, 140, 0, 0, 68, 0, 0, 0, 0, 0, 0, 104, 0, 0, -152, 0, -360, 0, 0, 176, 0, 0, 0, 0, 0, 0, -436, 0, 0, -320, 0, -144, 0, 0, -62, 0, 0, 0, 0, 0, 0, -116, 0, 0, 116, 0, 104, 0, 0, -508, 0, 0, 0, 0, 0, 0, -108, 0, 0, -36, 0, -108, 0, 0, -176, 0, 0, 0, 0, 0, 0, -80, 0, 0, 120, 0, 4, 0, 0, 36, 0, 0, 0, 0, 0, 0, 568, 0, 0, -316, 0, 238, 0, 0, -496, 0, 0, 0, 0, 0, 0, -244, 0, 0, 436, 0, 440, 0, 0, 144, 0, 0, 0, 0, 0, 0, 16, 0, 0, 8, 0, 92, 0, 0, -288, 0, 0, 0, 0, 0, 0, 4, 0, 0, -24, 0, 200, 0, 0, 460, 0, 0, 0, 0, 0, 0, 260, 0, 0, 72, 0, -244, 0, 0, 364, 0, 0, 0, 0, 0, 0, 44, 0, 0, -36, 0, 884, 0, 0, -160, 0, 0, 0, 0, 0, 0, -396, 0, 0, 36, 0, 752, 0, 0, 76, 0, 0, 0, 0, 0, 0, 348, 0, 0, -140, 0, -480, 0, 0, -112, 0, 0, 0, 0, 0, 0, -44, 0, 0, -192, 0, 126, 0, 0, -836, 0, 0, 0, 0, 0, 0, 176, 0, 0, -132, 0, -192, 0, 0, 216, 0, 0, 0, 0, 0, 0, -36, 0, 0, -380, 0, -60, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 46609713
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 2224, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 36028934491474797, 'source_is_minimal': False, 'source_label': '2925.2.c.i.2224.2', 'source_level': 2925, 'target_conrey_index': 2224, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 36028934491474797, 'target_is_minimal': False, 'target_label': '2925.2.c.i.2224.2', 'target_level': 2925, 'twist_class_label': '975.2.a.d.1.1', 'twist_class_level': 975, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 46609714
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 2224, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 36028934491474797, 'source_is_minimal': False, 'source_label': '2925.2.c.i.2224.2', 'source_level': 2925, 'target_conrey_index': 274, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021735236731855, 'target_is_minimal': False, 'target_label': '975.2.c.g.274.1', 'target_level': 975, 'twist_class_label': '975.2.a.d.1.1', 'twist_class_level': 975, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46609715
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 2224, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 36028934491474797, 'source_is_minimal': False, 'source_label': '2925.2.c.i.2224.2', 'source_level': 2925, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599660927853, 'target_is_minimal': False, 'target_label': '2925.2.a.b.1.1', 'target_level': 2925, 'twist_class_label': '975.2.a.d.1.1', 'twist_class_level': 975, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46609716
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 2224, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 36028934491474797, 'source_is_minimal': False, 'source_label': '2925.2.c.i.2224.2', 'source_level': 2925, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 63050394816744301, 'target_is_minimal': False, 'target_label': '2925.2.a.o.1.1', 'target_level': 2925, 'twist_class_label': '975.2.a.d.1.1', 'twist_class_level': 975, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46609717
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 2224, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 36028934491474797, 'source_is_minimal': False, 'source_label': '2925.2.c.i.2224.2', 'source_level': 2925, 'target_conrey_index': 2224, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36028934491474797, 'target_is_minimal': False, 'target_label': '2925.2.c.i.2224.1', 'target_level': 2925, 'twist_class_label': '975.2.a.d.1.1', 'twist_class_level': 975, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 46609718
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 2224, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 36028934491474797, 'source_is_minimal': False, 'source_label': '2925.2.c.i.2224.2', 'source_level': 2925, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45035996307260367, 'target_is_minimal': True, 'target_label': '975.2.a.k.1.1', 'target_level': 975, 'twist_class_label': '975.2.a.d.1.1', 'twist_class_level': 975, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46609719
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 2224, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 36028934491474797, 'source_is_minimal': False, 'source_label': '2925.2.c.i.2224.2', 'source_level': 2925, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798915666895, 'target_is_minimal': True, 'target_label': '975.2.a.d.1.1', 'target_level': 975, 'twist_class_label': '975.2.a.d.1.1', 'twist_class_level': 975, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 46609720
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 2224, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 36028934491474797, 'source_is_minimal': False, 'source_label': '2925.2.c.i.2224.2', 'source_level': 2925, 'target_conrey_index': 274, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27021735236731855, 'target_is_minimal': False, 'target_label': '975.2.c.g.274.2', 'target_level': 975, 'twist_class_label': '975.2.a.d.1.1', 'twist_class_level': 975, '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: 2920700
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 36028934491474797, 'p': 2}
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id: 2920701
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 36028934491474797, 'p': 3}
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id: 2920702
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 36028934491474797, 'p': 5}
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id: 2920703
{'charpoly_factorization': [[[9, 0, 1], 1]], 'hecke_orbit_code': 36028934491474797, 'p': 7}
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id: 2920704
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 36028934491474797, 'p': 11}
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id: 2920705
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 36028934491474797, 'p': 13}
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id: 2920706
{'charpoly_factorization': [[[25, 0, 1], 1]], 'hecke_orbit_code': 36028934491474797, 'p': 17}
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id: 2920707
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 36028934491474797, 'p': 19}
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id: 2920708
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 36028934491474797, 'p': 23}
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id: 2920709
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 36028934491474797, 'p': 29}
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id: 2920710
{'charpoly_factorization': [[[-3, 1], 2]], 'hecke_orbit_code': 36028934491474797, 'p': 31}
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id: 2920711
{'charpoly_factorization': [[[64, 0, 1], 1]], 'hecke_orbit_code': 36028934491474797, 'p': 37}
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id: 2920712
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 36028934491474797, 'p': 41}
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id: 2920713
{'charpoly_factorization': [[[64, 0, 1], 1]], 'hecke_orbit_code': 36028934491474797, 'p': 43}
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id: 2920714
{'charpoly_factorization': [[[121, 0, 1], 1]], 'hecke_orbit_code': 36028934491474797, 'p': 47}
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id: 2920715
{'charpoly_factorization': [[[121, 0, 1], 1]], 'hecke_orbit_code': 36028934491474797, 'p': 53}
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id: 2920716
{'charpoly_factorization': [[[-5, 1], 2]], 'hecke_orbit_code': 36028934491474797, 'p': 59}
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id: 2920717
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 36028934491474797, 'p': 61}
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id: 2920718
{'charpoly_factorization': [[[9, 0, 1], 1]], 'hecke_orbit_code': 36028934491474797, 'p': 67}
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id: 2920719
{'charpoly_factorization': [[[16, 1], 2]], 'hecke_orbit_code': 36028934491474797, 'p': 71}
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id: 2920720
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 36028934491474797, 'p': 73}
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id: 2920721
{'charpoly_factorization': [[[12, 1], 2]], 'hecke_orbit_code': 36028934491474797, 'p': 79}
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id: 2920722
{'charpoly_factorization': [[[9, 0, 1], 1]], 'hecke_orbit_code': 36028934491474797, 'p': 83}
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id: 2920723
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 36028934491474797, 'p': 89}
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id: 2920724
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 36028934491474797, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 3, 'hecke_orbit': 9, 'label': '2925.2.c.i', 'level': 2925, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 51951889
{'hecke_orbit_code': 36028934491474797, 'n': 1, 'trace_an': 2}
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id: 51951890
{'hecke_orbit_code': 36028934491474797, 'n': 2, 'trace_an': 0}
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id: 51951891
{'hecke_orbit_code': 36028934491474797, 'n': 3, 'trace_an': 0}
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id: 51951892
{'hecke_orbit_code': 36028934491474797, 'n': 4, 'trace_an': 2}
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id: 51951893
{'hecke_orbit_code': 36028934491474797, 'n': 5, 'trace_an': 0}
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id: 51951894
{'hecke_orbit_code': 36028934491474797, 'n': 6, 'trace_an': 0}
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id: 51951895
{'hecke_orbit_code': 36028934491474797, 'n': 7, 'trace_an': 0}
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id: 51951896
{'hecke_orbit_code': 36028934491474797, 'n': 8, 'trace_an': 0}
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id: 51951897
{'hecke_orbit_code': 36028934491474797, 'n': 9, 'trace_an': 0}
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