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{'Nk2': 12996, 'analytic_conductor': 25.943395616713996, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [19, 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': [3249, 1, [362, 2890], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 3, 'field_disc': 81, 'field_disc_factorization': [[3, 4]], 'field_poly': [-1, -3, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 18, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [1, -3, 0, 1]], [5, [3, 0, -3, 1]], [13, [19, -9, -3, 1]]], 'hecke_orbit': 23, 'hecke_orbit_code': 99079191835708593, 'hecke_ring_generator_nbound': 2, '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': '3249.2.a.w', 'level': 3249, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 19], 'level_radical': 57, 'minimal_twist': '57.2.i.a', 'nf_label': '3.3.81.1', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{1}q^{2}+\\beta _{2}q^{4}+(1-\\beta _{1})q^{5}+(-1+\\cdots)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': '3249.2.a', 'trace_display': [0, 0, 3, -3], 'trace_hash': 806691350960054080, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.069', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.821', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0], [0, -1, 0], [0, 0, 0], [0, 0, 1], [1, -1, 0], [0, 0, 0], [-1, -1, 0], [-1, 1, 0], [0, 0, 0], [2, -1, 1], [1, -2, 3], [0, 0, 0], [1, -2, 0], [2, 1, 1], [0, 0, 0], [-2, 1, -3], [3, 3, -1], [0, 0, 0], [0, 0, 0], [-1, -1, 1], [0, 0, 0], [1, -4, 2], [-2, 0, -3], [0, 0, 0], [-2, -2, 1], [4, -1, 2], [0, 0, 0], [-1, -1, -1], [-3, 0, 4], [0, 0, 0], [8, -1, 1], [3, 3, -1], [0, 0, 0], [-5, -2, -3], [1, 0, 1], [0, 0, 0], [2, -2, 3], [0, 0, 0], [0, 0, 0], [-3, 2, -1], [2, -4, 1], [0, 0, 0], [-7, -4, 2], [4, 1, -2], [0, 0, 0], [3, 5, 0], [1, 4, -7], [0, 0, 0], [-4, 2, 1], [3, 1, 2], [0, 0, 0], [-2, -2, 1], [6, -3, -2], [0, 0, 0], [2, -6, 5], [-1, 0, -1], [0, 0, 0], [-4, -1, 0], [5, 1, 1], [0, 0, 0], [-3, 6, -5], [1, -9, 1], [0, 0, 0], [-1, -4, 3], [5, -3, 2], [0, 0, 0], [-2, 4, -6], [1, 2, 4], [0, 0, 0], [-1, -2, 0], [3, 4, -2], [0, 0, 0], [-2, -1, -4], [1, -5, 2], [0, 0, 0], [0, 0, 0], [0, -2, -1], [0, 0, 0], [3, -4, 4], [-1, 6, -4], [0, 0, 0], [7, -3, 4], [5, -4, 1], [0, 0, 0], 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-12], [-35, 8, -12], [46, -25, -6], [-8, 26, 16], [39, -12, 15], [43, -2, 20], [-1, -28, 19], [-51, -7, -16], [-2, -37, -5], [-19, -2, -12], [-60, 7, 1], [31, 8, 10], [-23, 15, 22], [35, 3, 27], [-4, -43, 48], [31, 4, -15], [-4, -54, 27], [29, -21, 28], [5, 24, 14], [-26, 26, 15], [19, 7, -17], [11, 54, -36], [3, -17, 46], [-1, 12, 29], [21, -14, 15], [-48, -4, -6], [4, -16, 20], [34, -24, 2], [13, 19, 24], [-42, 15, -5], [-8, -7, 8], [-46, 13, 16], [-24, -30, -4], [19, 10, -18], [24, 15, -21], [-7, -22, -19], [12, -24, 16], [8, -18, -16], [-4, 44, -24], [49, -25, 2], [6, -33, 42], [-9, 3, -39], [31, -1, -34], [5, -16, -33], [-59, -9, -4], [-16, 49, 6], [38, 15, -13], [-43, 34, -10], [51, 10, -17], [-1, -31, 22], [-40, 7, -25], [29, -6, 9], [-32, 29, -24], [16, 37, -7], [-3, 51, -29], [24, 36, -36], [30, -39, -19], [6, 16, 1], [-6, -1, -12], [29, -9, 29], [-39, 21, -4], [3, -26, 31], [12, -42, 50], [-20, 40, -54], [-22, -10, -14], [-30, 49, 11], [-8, -3, 22], [9, 63, -18], [-43, 17, 15], [-13, 17, -37], [-6, 9, 19], [34, -9, -5], [11, -43, 4], [35, -29, 25], [-10, 13, 30], [-24, 42, 21], [12, 30, -50], [-45, 3, -33], [-27, 21, -22], [-21, -6, -9], [-37, -10, 17], [-39, -9, 27], [36, -6, 9], [11, -5, -39], [-28, 30, 25], [-36, -31, 17]], 'char_orbit_index': 1, 'field_poly': [-1, -3, 0, 1], 'hecke_orbit_code': 99079191835708593, '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], [2, 0, 1]], 'hecke_ring_numerators': [[1, 0, 0], [0, 1, 0], [-2, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 3, 'label': '3249.2.a.w', 'level': 3249, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [23, 33, 41, 36], 'ALdims_eis_new': [0, 0, 8, 9], 'ALdims_eis_old': [19, 20, 12, 11], 'ALdims_old': [58, 57, 49, 44], 'Nk2': 12996, 'analytic_conductor': 25.943395616713996, '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': [3249, 1, [362, 2890], [1, 1]], 'conrey_index': 1, 'cusp_dim': 341, 'dim': 133, 'eis_dim': 79, 'eis_new_dim': 17, 'hecke_cutter_primes': [2, 5, 13], 'hecke_orbit_code': 33557681, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 8, 8, 8, 8], 'label': '3249.2.a', 'level': 3249, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 19], 'level_radical': 57, 'mf_dim': 420, 'mf_new_dim': 150, 'num_forms': 40, 'plus_dim': 59, 'prim_orbit_index': 1, 'relative_dim': 133, 'sturm_bound': 760, 'trace_bound': 91, 'trace_display': [-3, 0, 0, 2], 'traces': [133, -3, 0, 121, 0, 0, 2, -3, 0, 10, 2, 0, -6, 4, 0, 97, -6, 0, 0, 14, 0, 20, 8, 0, 93, 6, 0, 34, -4, 0, 4, 21, 0, 22, 20, 0, -20, 0, 0, 66, -16, 0, 18, -14, 0, 8, -2, 0, 75, -1, 0, -14, 10, 0, 8, 0, 0, -36, -26, 0, -20, 22, 0, 31, -36, 0, 8, 26, 0, -24, 6, 0, 2, -26, 0, 0, 12, 0, -8, 60, 0, 24, 44, 0, -28, 0, 0, 12, 14, 0, 20, 84, 0, -24, 0, 0, 10, -47, 0, -3, 6, 0, 18, -28, 0, -90, -10, 0, -42, 12, 0, 78, 8, 0, 4, -38, 0, -114, 20, 0, 67, -14, 0, -48, 18, 0, 38, -3, 0, -12, -24, 0, 0, -16, 0, 54, 10, 0, 46, 30, 0, 12, 8, 0, 26, 54, 0, -138, 30, 0, 42, 0, 0, -16, -8, 0, 2, -54, 0, 146, 20, 0, 32, -2, 0, 76, 34, 0, 29, 0, 0, 98, -20, 0, 74, 28, 0, -72, -50, 0, -36, 194, 0, -48, 34, 0, 26, -18, 0, 0, 20, 0, 14, 54, 0, 1, 16, 0, -14, 3, 0, -30, -26, 0, -2, -6, 0, -38, 0, 0, 22, -10, 0, -24, 96, 0, 28, -58, 0, -16, -44, 0, -6, -16, 0, 70, 36, 0, -124, -40, 0, -104, 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0, 136, 33, 0, 320, 48, 0, 154, -308, 0, 130, -6, 0, 156, 32, 0, 4, -84, 0, -254, -148, 0, 0, 20, 0, -110, 40, 0, 12, 478, 0, 50, 88, 0, -12], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1071581
{'conductor': 57, 'degree': 6, 'multiplicity': 2, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '3249.2.a.w', 'source_level': 3249, 'target_char_orbit': 9, 'target_dim': 6, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '57.2.i.a', 'target_level': 57, 'twist_class_label': '57.2.i.a', 'twist_class_level': 57, 'twisting_char_label': '57.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 1071582
{'conductor': 19, 'degree': 6, 'multiplicity': 2, 'order': 9, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '3249.2.a.w', 'source_level': 3249, 'target_char_orbit': 21, 'target_dim': 6, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '171.2.u.a', 'target_level': 171, 'twist_class_label': '57.2.i.a', 'twist_class_level': 57, 'twisting_char_label': '19.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1071583
{'conductor': 228, 'degree': 6, 'multiplicity': 2, 'order': 18, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '3249.2.a.w', 'source_level': 3249, 'target_char_orbit': 41, 'target_dim': 6, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '912.2.bo.b', 'target_level': 912, 'twist_class_label': '57.2.i.a', 'twist_class_level': 57, 'twisting_char_label': '228.v', 'twisting_char_orbit': 22, 'weight': 2}
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id: 1071584
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '3249.2.a.w', 'source_level': 3249, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '1083.2.a.m', 'target_level': 1083, 'twist_class_label': '57.2.i.a', 'twist_class_level': 57, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1071585
{'conductor': 57, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '3249.2.a.w', 'source_level': 3249, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '1083.2.a.n', 'target_level': 1083, 'twist_class_label': '57.2.i.a', 'twist_class_level': 57, 'twisting_char_label': '57.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1071586
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '3249.2.a.w', 'source_level': 3249, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 23, 'target_is_minimal': False, 'target_label': '3249.2.a.w', 'target_level': 3249, 'twist_class_label': '57.2.i.a', 'twist_class_level': 57, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1071587
{'conductor': 19, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '3249.2.a.w', 'source_level': 3249, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 24, 'target_is_minimal': False, 'target_label': '3249.2.a.x', 'target_level': 3249, 'twist_class_label': '57.2.i.a', 'twist_class_level': 57, 'twisting_char_label': '19.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3081825
{'charpoly_factorization': [[[1, -3, 0, 1], 1]], 'hecke_orbit_code': 99079191835708593, 'p': 2}
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id: 3081826
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 99079191835708593, 'p': 3}
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id: 3081827
{'charpoly_factorization': [[[3, 0, -3, 1], 1]], 'hecke_orbit_code': 99079191835708593, 'p': 5}
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id: 3081828
{'charpoly_factorization': [[[-1, 0, 3, 1], 1]], 'hecke_orbit_code': 99079191835708593, 'p': 7}
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id: 3081829
{'charpoly_factorization': [[[37, -18, -3, 1], 1]], 'hecke_orbit_code': 99079191835708593, 'p': 11}
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id: 3081830
{'charpoly_factorization': [[[19, -9, -3, 1], 1]], 'hecke_orbit_code': 99079191835708593, 'p': 13}
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id: 3081831
{'charpoly_factorization': [[[53, 6, -9, 1], 1]], 'hecke_orbit_code': 99079191835708593, 'p': 17}
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id: 3081832
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 99079191835708593, 'p': 19}
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id: 3081833
{'charpoly_factorization': [[[-73, -15, 6, 1], 1]], 'hecke_orbit_code': 99079191835708593, 'p': 23}
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id: 3081834
{'charpoly_factorization': [[[-53, -21, 9, 1], 1]], 'hecke_orbit_code': 99079191835708593, 'p': 29}
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id: 3081835
{'charpoly_factorization': [[[-489, 189, -24, 1], 1]], 'hecke_orbit_code': 99079191835708593, 'p': 31}
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id: 3081836
{'charpoly_factorization': [[[51, -9, -6, 1], 1]], 'hecke_orbit_code': 99079191835708593, 'p': 37}
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id: 3081837
{'charpoly_factorization': [[[51, -27, -6, 1], 1]], 'hecke_orbit_code': 99079191835708593, 'p': 41}
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id: 3081838
{'charpoly_factorization': [[[19, 111, 21, 1], 1]], 'hecke_orbit_code': 99079191835708593, 'p': 43}
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id: 3081839
{'charpoly_factorization': [[[-213, -108, -3, 1], 1]], 'hecke_orbit_code': 99079191835708593, 'p': 47}
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id: 3081840
{'charpoly_factorization': [[[289, 51, -18, 1], 1]], 'hecke_orbit_code': 99079191835708593, 'p': 53}
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id: 3081841
{'charpoly_factorization': [[[-89, 66, -15, 1], 1]], 'hecke_orbit_code': 99079191835708593, 'p': 59}
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id: 3081842
{'charpoly_factorization': [[[37, -66, 9, 1], 1]], 'hecke_orbit_code': 99079191835708593, 'p': 61}
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id: 3081843
{'charpoly_factorization': [[[-296, -72, 6, 1], 1]], 'hecke_orbit_code': 99079191835708593, 'p': 67}
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id: 3081844
{'charpoly_factorization': [[[153, -9, -9, 1], 1]], 'hecke_orbit_code': 99079191835708593, 'p': 71}
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id: 3081845
{'charpoly_factorization': [[[-109, -51, 6, 1], 1]], 'hecke_orbit_code': 99079191835708593, 'p': 73}
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id: 3081846
{'charpoly_factorization': [[[53, -21, -9, 1], 1]], 'hecke_orbit_code': 99079191835708593, 'p': 79}
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id: 3081847
{'charpoly_factorization': [[[51, 36, -15, 1], 1]], 'hecke_orbit_code': 99079191835708593, 'p': 83}
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id: 3081848
{'charpoly_factorization': [[[1125, -225, 0, 1], 1]], 'hecke_orbit_code': 99079191835708593, 'p': 89}
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id: 3081849
{'charpoly_factorization': [[[-269, -45, 6, 1], 1]], 'hecke_orbit_code': 99079191835708593, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 23, 'label': '3249.2.a.w', 'level': 3249, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 65382853
{'hecke_orbit_code': 99079191835708593, 'n': 1, 'trace_an': 3}
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id: 65382854
{'hecke_orbit_code': 99079191835708593, 'n': 2, 'trace_an': 0}
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id: 65382855
{'hecke_orbit_code': 99079191835708593, 'n': 3, 'trace_an': 0}
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id: 65382856
{'hecke_orbit_code': 99079191835708593, 'n': 4, 'trace_an': 0}
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id: 65382857
{'hecke_orbit_code': 99079191835708593, 'n': 5, 'trace_an': 3}
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id: 65382858
{'hecke_orbit_code': 99079191835708593, 'n': 6, 'trace_an': 0}
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id: 65382859
{'hecke_orbit_code': 99079191835708593, 'n': 7, 'trace_an': -3}
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id: 65382860
{'hecke_orbit_code': 99079191835708593, 'n': 8, 'trace_an': -3}
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id: 65382861
{'hecke_orbit_code': 99079191835708593, 'n': 9, 'trace_an': 0}
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id: 65382862
{'hecke_orbit_code': 99079191835708593, 'n': 10, 'trace_an': 6}
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id: 65382863
{'hecke_orbit_code': 99079191835708593, 'n': 11, 'trace_an': 3}
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id: 65382864
{'hecke_orbit_code': 99079191835708593, 'n': 12, 'trace_an': 0}
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id: 65382865
{'hecke_orbit_code': 99079191835708593, 'n': 13, 'trace_an': 3}
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id: 65382866
{'hecke_orbit_code': 99079191835708593, 'n': 14, 'trace_an': 6}
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id: 65382867
{'hecke_orbit_code': 99079191835708593, 'n': 15, 'trace_an': 0}
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id: 65382868
{'hecke_orbit_code': 99079191835708593, 'n': 16, 'trace_an': -6}
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id: 65382869
{'hecke_orbit_code': 99079191835708593, 'n': 17, 'trace_an': 9}
-
id: 65382870
{'hecke_orbit_code': 99079191835708593, 'n': 18, 'trace_an': 0}
-
id: 65382871
{'hecke_orbit_code': 99079191835708593, 'n': 19, 'trace_an': 0}
-
id: 65382872
{'hecke_orbit_code': 99079191835708593, 'n': 20, 'trace_an': -3}
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id: 65382873
{'hecke_orbit_code': 99079191835708593, 'n': 21, 'trace_an': 0}
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