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mf_newforms • Show schema
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{'Nk2': 11808, 'analytic_conductor': 23.57183867668197, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [41, -1]], 'atkin_lehner_string': '+--', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [2952, 1, [2215, 1477, 2297, 1441], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 3, 'field_disc': 1436, 'field_disc_factorization': [[2, 2], [359, 1]], 'field_poly': [-12, -11, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[5, [-22, -8, 3, 1]], [7, [-36, -10, 4, 1]]], 'hecke_orbit': 11, 'hecke_orbit_code': 45035996307262344, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '2952.2.a.k', 'level': 2952, '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, 41], 'level_radical': 246, 'minimal_twist': '984.2.a.g', 'nf_label': '3.3.1436.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(-1+\\beta _{1})q^{5}+(-1-\\beta _{1}-\\beta _{2})q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2952.2.a', 'trace_display': [0, 0, -3, -4], 'trace_hash': 2211835341401135445, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.918', 'prec': 17}, 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mf_hecke_nf • Show schema
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'field_poly': [-12, -11, 0, 1], 'hecke_orbit_code': 45035996307262344, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1], 'hecke_ring_inverse_denominators': [1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0], [0, 1, 0], [7, 2, 1]], 'hecke_ring_numerators': [[1, 0, 0], [0, 1, 0], [-7, -2, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 3, 'label': '2952.2.a.k', 'level': 2952, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [4, 6, 9, 6, 6, 4, 8, 7], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [3, 4, 4, 4, 4, 4, 4, 4], 'ALdims_old': [55, 56, 54, 53, 58, 56, 51, 56], 'Nk2': 11808, 'analytic_conductor': 23.57183867668197, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [2952, 1, [2215, 1477, 2297, 1441], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 489, 'dim': 50, 'eis_dim': 31, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7], 'hecke_orbit_code': 33557384, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5], 'label': '2952.2.a', 'level': 2952, '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, 41], 'level_radical': 246, 'mf_dim': 520, 'mf_new_dim': 50, 'num_forms': 20, 'plus_dim': 22, 'prim_orbit_index': 1, 'relative_dim': 50, 'sturm_bound': 1008, 'trace_bound': 7, 'trace_display': [0, 0, 0, 0], 'traces': [50, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0, -2, 0, 0, 0, -16, 0, 62, 0, 0, 0, -2, 0, -16, 0, 0, 0, -4, 0, 4, 0, 0, 0, -4, 0, 0, 0, 0, 0, 4, 0, 70, 0, 0, 0, -14, 0, -16, 0, 0, 0, 12, 0, -8, 0, 0, 0, 4, 0, 2, 0, 0, 0, 24, 0, 0, 0, 0, 0, -4, 0, 36, 0, 0, 0, -8, 0, -24, 0, 0, 0, -28, 0, 24, 0, 0, 0, 16, 0, 0, 0, 0, 0, -38, 0, -16, 0, 0, 0, 8, 0, -10, 0, 0, 0, 48, 0, -16, 0, 0, 0, -24, 0, 98, 0, 0, 0, 24, 0, 24, 0, 0, 0, 12, 0, -44, 0, 0, 0, -48, 0, 36, 0, 0, 0, 0, 0, 20, 0, 0, 0, 58, 0, 40, 0, 0, 0, 40, 0, 6, 0, 0, 0, 24, 0, -32, 0, 0, 0, -20, 0, 74, 0, 0, 0, 8, 0, 40, 0, 0, 0, 58, 0, 26, 0, 0, 0, 16, 0, -12, 0, 0, 0, 4, 0, -8, 0, 0, 0, 16, 0, -48, 0, 0, 0, 0, 0, 4, 0, 0, 0, 8, 0, -6, 0, 0, 0, 8, 0, 16, 0, 0, 0, 84, 0, 48, 0, 0, 0, 18, 0, -6, 0, 0, 0, 36, 0, 36, 0, 0, 0, -32, 0, 0, 0, 0, 0, 40, 0, -56, 0, 0, 0, -36, 0, 32, 0, 0, 0, -36, 0, -36, 0, 0, 0, 12, 0, 12, 0, 0, 0, 60, 0, -40, 0, 0, 0, -70, 0, 28, 0, 0, 0, 36, 0, 100, 0, 0, 0, 0, 0, 38, 0, 0, 0, 6, 0, -80, 0, 0, 0, 24, 0, 104, 0, 0, 0, -32, 0, -76, 0, 0, 0, 20, 0, -56, 0, 0, 0, -6, 0, -32, 0, 0, 0, 20, 0, 42, 0, 0, 0, 20, 0, -26, 0, 0, 0, 48, 0, -60, 0, 0, 0, 64, 0, 60, 0, 0, 0, 42, 0, -8, 0, 0, 0, -28, 0, -4, 0, 0, 0, -88, 0, 42, 0, 0, 0, 96, 0, 24, 0, 0, 0, -32, 0, 12, 0, 0, 0, -116, 0, -68, 0, 0, 0, 92, 0, -128, 0, 0, 0, -16, 0, -48, 0, 0, 0, -60, 0, -46, 0, 0, 0, -64, 0, 80, 0, 0, 0, -72, 0, 12, 0, 0, 0, 64, 0, -24, 0, 0, 0, -56, 0, -70, 0, 0, 0, -112, 0, 8, 0, 0, 0, -16, 0, -72, 0, 0, 0, 8, 0, -4, 0, 0, 0, 12, 0, -112, 0, 0, 0, 4, 0, -18, 0, 0, 0, -72, 0, -16, 0, 0, 0, -84, 0, 52, 0, 0, 0, -156, 0, -12, 0, 0, 0, -72, 0, -14, 0, 0, 0, -88, 0, 28, 0, 0, 0, 80, 0, 0, 0, 0, 0, -12, 0, -52, 0, 0, 0, 60, 0, -150, 0, 0, 0, 60, 0, -180, 0, 0, 0, -10, 0, -60, 0, 0, 0, -216, 0, 4, 0, 0, 0, 48, 0, 104, 0, 0, 0, -64, 0, -142, 0, 0, 0, -6, 0, 72, 0, 0, 0, -22, 0, 176, 0, 0, 0, -4, 0, -70, 0, 0, 0, -56, 0, -68, 0, 0, 0, -90, 0, 168, 0, 0, 0, 74, 0, 16, 0, 0, 0, -112, 0, -58, 0, 0, 0, 16, 0, -108, 0, 0, 0, -24, 0, -144, 0, 0, 0, -50, 0, 32, 0, 0, 0, -60, 0, 88, 0, 0, 0, 144, 0, 124, 0, 0, 0, 56, 0, 64, 0, 0, 0, -192, 0, -136, 0, 0, 0, 36, 0, 36, 0, 0, 0, 240, 0, 66, 0, 0, 0, -88, 0, 176, 0, 0, 0, -64, 0, 110, 0, 0, 0, 56, 0, -90, 0, 0, 0, -32, 0, 80, 0, 0, 0, 158, 0, 32, 0, 0, 0, -114, 0, -152, 0, 0, 0, -88, 0, -128, 0, 0, 0, -52, 0, -32, 0, 0, 0, 16, 0, -112, 0, 0, 0, 86, 0, 72, 0, 0, 0, 84, 0, -94, 0, 0, 0, 0, 0, 4, 0, 0, 0, 92, 0, 88, 0, 0, 0, -16, 0, -62, 0, 0, 0, 56, 0, -264, 0, 0, 0, 192, 0, 88, 0, 0, 0, 26, 0, -152, 0, 0, 0, -80, 0, -64, 0, 0, 0, -104, 0, 8, 0, 0, 0, -136, 0, 28, 0, 0, 0, -144, 0, 4, 0, 0, 0, -44, 0, -70, 0, 0, 0, 32, 0, 72, 0, 0, 0, 48, 0, 100, 0, 0, 0, -34, 0, -88, 0, 0, 0, 30, 0, -20, 0, 0, 0, 100, 0, -108, 0, 0, 0, 60, 0, -60, 0, 0, 0, 92, 0, -176, 0, 0, 0, 184, 0, -16, 0, 0, 0, -128, 0, -132, 0, 0, 0, 152, 0, -64, 0, 0, 0, 148, 0, 160, 0, 0, 0, -6, 0, 16, 0, 0, 0, -112, 0, -260, 0, 0, 0, 24, 0, 74, 0, 0, 0, -8, 0, 28, 0, 0, 0, -80, 0, -112, 0, 0, 0, 204, 0, 20, 0, 0, 0, 48, 0, -168, 0, 0, 0, -204, 0, -64, 0, 0, 0, 240, 0, 100, 0, 0, 0, 144, 0, -70, 0, 0, 0, -104, 0, 64, 0, 0, 0, -140, 0, -72, 0, 0, 0, 32, 0, 76, 0, 0, 0, 148, 0, -132, 0, 0, 0, 168, 0, 152, 0, 0, 0, -224, 0, -4, 0, 0, 0, 8, 0, -12, 0, 0, 0, -64, 0, 10, 0, 0, 0, -176, 0, -60, 0, 0, 0, 72, 0, 0, 0, 0, 0, -52, 0, -220, 0, 0, 0, -52, 0, -92, 0, 0, 0, -136, 0, -30, 0, 0, 0, -272, 0, -16, 0, 0, 0, 130, 0, -48, 0, 0, 0, 40, 0, -148, 0, 0, 0, 184, 0, -200, 0, 0, 0, 104, 0, -40, 0, 0, 0, 28, 0, 78, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1027229
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '2952.2.a.k', 'source_level': 2952, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 7, 'target_is_minimal': True, 'target_label': '984.2.a.g', 'target_level': 984, 'twist_class_label': '984.2.a.g', 'twist_class_level': 984, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1027230
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '2952.2.a.k', 'source_level': 2952, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '1968.2.a.v', 'target_level': 1968, 'twist_class_label': '984.2.a.g', 'twist_class_level': 984, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1027231
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '2952.2.a.k', 'source_level': 2952, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '2952.2.a.k', 'target_level': 2952, 'twist_class_label': '984.2.a.g', 'twist_class_level': 984, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1027232
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '2952.2.a.k', 'source_level': 2952, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 33, 'target_is_minimal': False, 'target_label': '5904.2.a.bg', 'target_level': 5904, 'twist_class_label': '984.2.a.g', 'twist_class_level': 984, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1027233
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '2952.2.a.k', 'source_level': 2952, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 46, 'target_is_minimal': False, 'target_label': '7872.2.a.bt', 'target_level': 7872, 'twist_class_label': '984.2.a.g', 'twist_class_level': 984, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1027234
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '2952.2.a.k', 'source_level': 2952, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 51, 'target_is_minimal': False, 'target_label': '7872.2.a.by', 'target_level': 7872, 'twist_class_label': '984.2.a.g', 'twist_class_level': 984, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2934250
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 45035996307262344, 'p': 2}
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id: 2934251
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 45035996307262344, 'p': 3}
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id: 2934252
{'charpoly_factorization': [[[-22, -8, 3, 1], 1]], 'hecke_orbit_code': 45035996307262344, 'p': 5}
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id: 2934253
{'charpoly_factorization': [[[-36, -10, 4, 1], 1]], 'hecke_orbit_code': 45035996307262344, 'p': 7}
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id: 2934254
{'charpoly_factorization': [[[2, 1, -6, 1], 1]], 'hecke_orbit_code': 45035996307262344, 'p': 11}
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id: 2934255
{'charpoly_factorization': [[[22, -8, -3, 1], 1]], 'hecke_orbit_code': 45035996307262344, 'p': 13}
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id: 2934256
{'charpoly_factorization': [[[-117, 9, 11, 1], 1]], 'hecke_orbit_code': 45035996307262344, 'p': 17}
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id: 2934257
{'charpoly_factorization': [[[162, -36, -5, 1], 1]], 'hecke_orbit_code': 45035996307262344, 'p': 19}
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id: 2934258
{'charpoly_factorization': [[[-116, -10, 8, 1], 1]], 'hecke_orbit_code': 45035996307262344, 'p': 23}
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id: 2934259
{'charpoly_factorization': [[[-192, -23, 8, 1], 1]], 'hecke_orbit_code': 45035996307262344, 'p': 29}
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id: 2934260
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 45035996307262344, 'p': 31}
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id: 2934261
{'charpoly_factorization': [[[-6, -35, 4, 1], 1]], 'hecke_orbit_code': 45035996307262344, 'p': 37}
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id: 2934262
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 45035996307262344, 'p': 41}
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id: 2934263
{'charpoly_factorization': [[[-16, -11, 2, 1], 1]], 'hecke_orbit_code': 45035996307262344, 'p': 43}
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id: 2934264
{'charpoly_factorization': [[[-324, -99, 0, 1], 1]], 'hecke_orbit_code': 45035996307262344, 'p': 47}
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id: 2934265
{'charpoly_factorization': [[[-32, 112, 22, 1], 1]], 'hecke_orbit_code': 45035996307262344, 'p': 53}
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id: 2934266
{'charpoly_factorization': [[[328, -108, -3, 1], 1]], 'hecke_orbit_code': 45035996307262344, 'p': 59}
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id: 2934267
{'charpoly_factorization': [[[-422, -107, 0, 1], 1]], 'hecke_orbit_code': 45035996307262344, 'p': 61}
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id: 2934268
{'charpoly_factorization': [[[-4, -12, -1, 1], 1]], 'hecke_orbit_code': 45035996307262344, 'p': 67}
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id: 2934269
{'charpoly_factorization': [[[107, 89, 19, 1], 1]], 'hecke_orbit_code': 45035996307262344, 'p': 71}
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id: 2934270
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 45035996307262344, 'p': 73}
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id: 2934271
{'charpoly_factorization': [[[128, -44, -4, 1], 1]], 'hecke_orbit_code': 45035996307262344, 'p': 79}
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id: 2934272
{'charpoly_factorization': [[[-422, -60, 7, 1], 1]], 'hecke_orbit_code': 45035996307262344, 'p': 83}
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id: 2934273
{'charpoly_factorization': [[[732, 280, 31, 1], 1]], 'hecke_orbit_code': 45035996307262344, 'p': 89}
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id: 2934274
{'charpoly_factorization': [[[-484, -66, 8, 1], 1]], 'hecke_orbit_code': 45035996307262344, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 11, 'label': '2952.2.a.k', 'level': 2952, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 54325747
{'hecke_orbit_code': 45035996307262344, 'n': 1, 'trace_an': 3}
-
id: 54325748
{'hecke_orbit_code': 45035996307262344, 'n': 2, 'trace_an': 0}
-
id: 54325749
{'hecke_orbit_code': 45035996307262344, 'n': 3, 'trace_an': 0}
-
id: 54325750
{'hecke_orbit_code': 45035996307262344, 'n': 4, 'trace_an': 0}
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id: 54325751
{'hecke_orbit_code': 45035996307262344, 'n': 5, 'trace_an': -3}
-
id: 54325752
{'hecke_orbit_code': 45035996307262344, 'n': 6, 'trace_an': 0}
-
id: 54325753
{'hecke_orbit_code': 45035996307262344, 'n': 7, 'trace_an': -4}
-
id: 54325754
{'hecke_orbit_code': 45035996307262344, 'n': 8, 'trace_an': 0}
-
id: 54325755
{'hecke_orbit_code': 45035996307262344, 'n': 9, 'trace_an': 0}
-
id: 54325756
{'hecke_orbit_code': 45035996307262344, 'n': 10, 'trace_an': 0}
-
id: 54325757
{'hecke_orbit_code': 45035996307262344, 'n': 11, 'trace_an': 6}
-
id: 54325758
{'hecke_orbit_code': 45035996307262344, 'n': 12, 'trace_an': 0}
-
id: 54325759
{'hecke_orbit_code': 45035996307262344, 'n': 13, 'trace_an': 3}
-
id: 54325760
{'hecke_orbit_code': 45035996307262344, 'n': 14, 'trace_an': 0}
-
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