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mf_newforms • Show schema
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{'Nk2': 13248, 'analytic_conductor': 26.446453149448065, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, 1], [23, 1]], 'atkin_lehner_string': '+++', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [3312, 1, [415, 2485, 2945, 2305], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 12, 'field_disc_factorization': [[2, 2], [3, 1]], 'field_poly': [-3, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 12, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[5, [-2, 2, 1]], [7, [-2, -2, 1]], [11, [-8, 4, 1]], [13, [-8, 4, 1]]], 'hecke_orbit': 24, 'hecke_orbit_code': 103582791463079152, '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': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '3312.2.a.x', 'level': 3312, '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, 23], 'level_radical': 138, 'minimal_twist': '1656.2.a.k', 'nf_label': '2.2.12.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(-1+\\beta )q^{5}+(1-\\beta )q^{7}+(-2+2\\beta )q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3312.2.a', 'trace_display': [0, 0, -2, 2], 'trace_hash': 776875342144348914, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.010', 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mf_hecke_nf • Show schema
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-34], [0, 44], [54, -10], [-11, -25], [6, -28], [-18, 22], [-12, -26], [-34, -26], [81, -13], [-36, -4], [39, 13], [72, 10], [24, 16], [-12, -6], [2, -24], [-12, -28], [-6, -38], [36, -20], [18, -18], [36, 2]], 'char_orbit_index': 1, 'field_poly': [-3, 0, 1], 'hecke_orbit_code': 103582791463079152, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '3312.2.a.x', 'level': 3312, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [6, 6, 8, 8, 5, 5, 7, 10], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [5, 6, 6, 6, 6, 6, 6, 6], 'ALdims_old': [55, 72, 61, 61, 61, 67, 62, 59], 'Nk2': 13248, 'analytic_conductor': 26.446453149448065, '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': [3312, 1, [415, 2485, 2945, 2305], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 553, 'dim': 55, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 11, 13], 'hecke_orbit_code': 33557744, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4], 'label': '3312.2.a', 'level': 3312, '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, 23], 'level_radical': 138, 'mf_dim': 600, 'mf_new_dim': 55, 'num_forms': 34, 'plus_dim': 26, 'prim_orbit_index': 1, 'relative_dim': 55, 'sturm_bound': 1152, 'trace_bound': 13, 'trace_display': [0, 0, -2, -4], 'traces': [55, 0, 0, 0, -2, 0, -4, 0, 0, 0, 0, 0, -2, 0, 0, 0, 6, 0, -4, 0, 0, 0, 3, 0, 65, 0, 0, 0, -2, 0, 2, 0, 0, 0, -24, 0, -2, 0, 0, 0, -2, 0, 24, 0, 0, 0, -2, 0, 55, 0, 0, 0, -10, 0, 8, 0, 0, 0, -28, 0, -10, 0, 0, 0, 12, 0, -16, 0, 0, 0, -26, 0, -2, 0, 0, 0, -8, 0, -28, 0, 0, 0, 20, 0, -4, 0, 0, 0, 14, 0, -12, 0, 0, 0, -32, 0, -26, 0, 0, 0, -30, 0, 36, 0, 0, 0, 28, 0, -10, 0, 0, 0, 30, 0, 6, 0, 0, 0, 16, 0, 35, 0, 0, 0, 36, 0, -26, 0, 0, 0, -18, 0, 16, 0, 0, 0, -18, 0, -18, 0, 0, 0, 16, 0, 12, 0, 0, 0, 14, 0, -6, 0, 0, 0, 32, 0, -34, 0, 0, 0, 0, 0, -42, 0, 0, 0, -48, 0, 49, 0, 0, 0, 34, 0, -4, 0, 0, 0, -30, 0, -42, 0, 0, 0, 28, 0, -16, 0, 0, 0, 24, 0, -34, 0, 0, 0, -34, 0, -8, 0, 0, 0, 68, 0, -28, 0, 0, 0, 8, 0, -28, 0, 0, 0, 16, 0, -48, 0, 0, 0, -4, 0, -72, 0, 0, 0, -12, 0, 30, 0, 0, 0, 6, 0, 16, 0, 0, 0, 70, 0, -58, 0, 0, 0, 70, 0, 100, 0, 0, 0, 36, 0, 0, 0, 0, 0, 54, 0, 96, 0, 0, 0, 100, 0, -4, 0, 0, 0, -18, 0, -40, 0, 0, 0, 40, 0, -42, 0, 0, 0, 30, 0, 8, 0, 0, 0, -60, 0, 69, 0, 0, 0, -50, 0, 72, 0, 0, 0, -24, 0, 32, 0, 0, 0, 4, 0, 52, 0, 0, 0, 150, 0, 6, 0, 0, 0, -14, 0, 88, 0, 0, 0, -48, 0, -54, 0, 0, 0, 32, 0, 134, 0, 0, 0, 16, 0, 14, 0, 0, 0, 16, 0, 64, 0, 0, 0, 60, 0, -66, 0, 0, 0, -42, 0, 40, 0, 0, 0, 44, 0, 19, 0, 0, 0, -92, 0, -36, 0, 0, 0, 48, 0, -74, 0, 0, 0, -36, 0, -32, 0, 0, 0, -32, 0, -88, 0, 0, 0, 6, 0, -14, 0, 0, 0, 24, 0, -18, 0, 0, 0, -10, 0, 114, 0, 0, 0, -24, 0, -50, 0, 0, 0, 16, 0, -8, 0, 0, 0, 0, 0, 14, 0, 0, 0, 18, 0, -72, 0, 0, 0, -88, 0, -10, 0, 0, 0, 0, 0, 6, 0, 0, 0, 14, 0, 20, 0, 0, 0, 6, 0, -8, 0, 0, 0, 0, 0, -18, 0, 0, 0, -106, 0, 40, 0, 0, 0, -60, 0, -24, 0, 0, 0, 8, 0, -140, 0, 0, 0, -84, 0, 20, 0, 0, 0, -44, 0, -18, 0, 0, 0, -22, 0, -52, 0, 0, 0, -40, 0, 98, 0, 0, 0, -52, 0, -12, 0, 0, 0, -26, 0, 84, 0, 0, 0, -88, 0, -64, 0, 0, 0, 22, 0, -76, 0, 0, 0, -140, 0, 55, 0, 0, 0, 16, 0, 184, 0, 0, 0, -136, 0, 22, 0, 0, 0, 36, 0, 38, 0, 0, 0, -84, 0, -64, 0, 0, 0, -50, 0, -144, 0, 0, 0, 152, 0, 28, 0, 0, 0, -82, 0, -36, 0, 0, 0, 21, 0, 46, 0, 0, 0, -8, 0, -40, 0, 0, 0, -130, 0, 96, 0, 0, 0, -50, 0, 104, 0, 0, 0, 120, 0, 54, 0, 0, 0, -2, 0, -104, 0, 0, 0, -82, 0, 46, 0, 0, 0, 46, 0, -168, 0, 0, 0, -88, 0, 3, 0, 0, 0, 84, 0, 72, 0, 0, 0, -112, 0, -58, 0, 0, 0, -114, 0, -200, 0, 0, 0, -106, 0, -48, 0, 0, 0, 54, 0, 104, 0, 0, 0, 132, 0, 78, 0, 0, 0, 64, 0, 12, 0, 0, 0, -56, 0, -122, 0, 0, 0, -82, 0, -232, 0, 0, 0, -22, 0, 36, 0, 0, 0, 44, 0, 140, 0, 0, 0, -56, 0, -20, 0, 0, 0, -82, 0, -280, 0, 0, 0, 8, 0, 6, 0, 0, 0, -8, 0, 48, 0, 0, 0, -88, 0, 120, 0, 0, 0, -22, 0, 128, 0, 0, 0, -56, 0, 86, 0, 0, 0, -144, 0, -58, 0, 0, 0, 188, 0, -4, 0, 0, 0, 64, 0, -104, 0, 0, 0, 56, 0, -34, 0, 0, 0, -66, 0, -176, 0, 0, 0, -56, 0, -34, 0, 0, 0, 70, 0, 38, 0, 0, 0, 12, 0, -8, 0, 0, 0, 4, 0, 120, 0, 0, 0, 176, 0, -44, 0, 0, 0, 38, 0, -84, 0, 0, 0, 80, 0, 16, 0, 0, 0, -34, 0, -54, 0, 0, 0, 224, 0, -104, 0, 0, 0, -78, 0, -70, 0, 0, 0, 160, 0, 122, 0, 0, 0, -2, 0, -64, 0, 0, 0, -204, 0, 105, 0, 0, 0, 138, 0, 84, 0, 0, 0, -30, 0, 82, 0, 0, 0, -10, 0, -126, 0, 0, 0, 266, 0, 180, 0, 0, 0, -16, 0, -72, 0, 0, 0, -256, 0, 34, 0, 0, 0, 102, 0, -36, 0, 0, 0, 166, 0, 64, 0, 0, 0, 16, 0, -120, 0, 0, 0, -46, 0, 84, 0, 0, 0, 44, 0, 84, 0, 0, 0, 68, 0, -16, 0, 0, 0, 56, 0, -36, 0, 0, 0, 150, 0, -118, 0, 0, 0, 94, 0, 60, 0, 0, 0, -232, 0, -82, 0, 0, 0, -34, 0, -16, 0, 0, 0, 22, 0, 40, 0, 0, 0, -106, 0, -32, 0, 0, 0, 8, 0, 103, 0, 0, 0, -20, 0, -90, 0, 0, 0, 12, 0, -72, 0, 0, 0, -82, 0, -96, 0, 0, 0, 132, 0, -4, 0, 0, 0, 0, 0, 120, 0, 0, 0, 312, 0, 10, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1080120
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '3312.2.a.x', 'source_level': 3312, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 11, 'target_is_minimal': True, 'target_label': '1656.2.a.k', 'target_level': 1656, 'twist_class_label': '1656.2.a.k', 'twist_class_level': 1656, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1080121
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '3312.2.a.x', 'source_level': 3312, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': True, 'target_label': '1656.2.a.m', 'target_level': 1656, 'twist_class_label': '1656.2.a.k', 'twist_class_level': 1656, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1080122
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '3312.2.a.x', 'source_level': 3312, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 24, 'target_is_minimal': False, 'target_label': '3312.2.a.x', 'target_level': 3312, 'twist_class_label': '1656.2.a.k', 'twist_class_level': 1656, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1080123
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '3312.2.a.x', 'source_level': 3312, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 30, 'target_is_minimal': False, 'target_label': '3312.2.a.bd', 'target_level': 3312, 'twist_class_label': '1656.2.a.k', 'twist_class_level': 1656, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3116175
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 103582791463079152, 'p': 2}
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id: 3116176
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 103582791463079152, 'p': 3}
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id: 3116177
{'charpoly_factorization': [[[-2, 2, 1], 1]], 'hecke_orbit_code': 103582791463079152, 'p': 5}
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id: 3116178
{'charpoly_factorization': [[[-2, -2, 1], 1]], 'hecke_orbit_code': 103582791463079152, 'p': 7}
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id: 3116179
{'charpoly_factorization': [[[-8, 4, 1], 1]], 'hecke_orbit_code': 103582791463079152, 'p': 11}
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id: 3116180
{'charpoly_factorization': [[[-8, 4, 1], 1]], 'hecke_orbit_code': 103582791463079152, 'p': 13}
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id: 3116181
{'charpoly_factorization': [[[-2, -2, 1], 1]], 'hecke_orbit_code': 103582791463079152, 'p': 17}
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id: 3116182
{'charpoly_factorization': [[[6, -6, 1], 1]], 'hecke_orbit_code': 103582791463079152, 'p': 19}
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id: 3116183
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 103582791463079152, 'p': 23}
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id: 3116184
{'charpoly_factorization': [[[-8, 4, 1], 1]], 'hecke_orbit_code': 103582791463079152, 'p': 29}
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id: 3116185
{'charpoly_factorization': [[[24, -12, 1], 1]], 'hecke_orbit_code': 103582791463079152, 'p': 31}
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id: 3116186
{'charpoly_factorization': [[[4, 8, 1], 1]], 'hecke_orbit_code': 103582791463079152, 'p': 37}
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id: 3116187
{'charpoly_factorization': [[[-48, 0, 1], 1]], 'hecke_orbit_code': 103582791463079152, 'p': 41}
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id: 3116188
{'charpoly_factorization': [[[-2, -2, 1], 1]], 'hecke_orbit_code': 103582791463079152, 'p': 43}
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id: 3116189
{'charpoly_factorization': [[[4, 8, 1], 1]], 'hecke_orbit_code': 103582791463079152, 'p': 47}
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id: 3116190
{'charpoly_factorization': [[[54, 18, 1], 1]], 'hecke_orbit_code': 103582791463079152, 'p': 53}
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id: 3116191
{'charpoly_factorization': [[[4, -8, 1], 1]], 'hecke_orbit_code': 103582791463079152, 'p': 59}
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id: 3116192
{'charpoly_factorization': [[[-92, 8, 1], 1]], 'hecke_orbit_code': 103582791463079152, 'p': 61}
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id: 3116193
{'charpoly_factorization': [[[-26, -2, 1], 1]], 'hecke_orbit_code': 103582791463079152, 'p': 67}
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id: 3116194
{'charpoly_factorization': [[[-32, 8, 1], 1]], 'hecke_orbit_code': 103582791463079152, 'p': 71}
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id: 3116195
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 103582791463079152, 'p': 73}
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id: 3116196
{'charpoly_factorization': [[[-138, 6, 1], 1]], 'hecke_orbit_code': 103582791463079152, 'p': 79}
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id: 3116197
{'charpoly_factorization': [[[-72, 12, 1], 1]], 'hecke_orbit_code': 103582791463079152, 'p': 83}
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id: 3116198
{'charpoly_factorization': [[[-26, -2, 1], 1]], 'hecke_orbit_code': 103582791463079152, 'p': 89}
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id: 3116199
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 103582791463079152, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 24, 'label': '3312.2.a.x', 'level': 3312, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
-
id: 65877955
{'hecke_orbit_code': 103582791463079152, 'n': 1, 'trace_an': 2}
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id: 65877956
{'hecke_orbit_code': 103582791463079152, 'n': 2, 'trace_an': 0}
-
id: 65877957
{'hecke_orbit_code': 103582791463079152, 'n': 3, 'trace_an': 0}
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id: 65877958
{'hecke_orbit_code': 103582791463079152, 'n': 4, 'trace_an': 0}
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id: 65877959
{'hecke_orbit_code': 103582791463079152, 'n': 5, 'trace_an': -2}
-
id: 65877960
{'hecke_orbit_code': 103582791463079152, 'n': 6, 'trace_an': 0}
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id: 65877961
{'hecke_orbit_code': 103582791463079152, 'n': 7, 'trace_an': 2}
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id: 65877962
{'hecke_orbit_code': 103582791463079152, 'n': 8, 'trace_an': 0}
-
id: 65877963
{'hecke_orbit_code': 103582791463079152, 'n': 9, 'trace_an': 0}
-
id: 65877964
{'hecke_orbit_code': 103582791463079152, 'n': 10, 'trace_an': 0}
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id: 65877965
{'hecke_orbit_code': 103582791463079152, 'n': 11, 'trace_an': -4}
-
id: 65877966
{'hecke_orbit_code': 103582791463079152, 'n': 12, 'trace_an': 0}
-
id: 65877967
{'hecke_orbit_code': 103582791463079152, 'n': 13, 'trace_an': -4}
-
id: 65877968
{'hecke_orbit_code': 103582791463079152, 'n': 14, 'trace_an': 0}
-
id: 65877969
{'hecke_orbit_code': 103582791463079152, 'n': 15, 'trace_an': 0}
-
id: 65877970
{'hecke_orbit_code': 103582791463079152, 'n': 16, 'trace_an': 0}
-
id: 65877971
{'hecke_orbit_code': 103582791463079152, 'n': 17, 'trace_an': 2}
-
id: 65877972
{'hecke_orbit_code': 103582791463079152, 'n': 18, 'trace_an': 0}
-
id: 65877973
{'hecke_orbit_code': 103582791463079152, 'n': 19, 'trace_an': 6}
-
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id: 65878174
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id: 65878175
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id: 65878176
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id: 65878177
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id: 65878178
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id: 65878179
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id: 65878180
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id: 65878181
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id: 65878182
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id: 65878183
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id: 65878184
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id: 65878185
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id: 65878186
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id: 65878187
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id: 65878188
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id: 65878189
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id: 65878190
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id: 65878191
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id: 65878192
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id: 65878193
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id: 65878194
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id: 65878195
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id: 65878196
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id: 65878197
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id: 65878198
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id: 65878199
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id: 65878200
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id: 65878201
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id: 65878202
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id: 65878203
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id: 65878204
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id: 65878205
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id: 65878206
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id: 65878207
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id: 65878208
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id: 65878209
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id: 65878210
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id: 65878211
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id: 65878212
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