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mf_newforms • Show schema
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{'Nk2': 500, 'analytic_conductor': 0.9981300252660048, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[5, -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': [125, 1, [2], [1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 4, 'field_disc': 4400, 'field_disc_factorization': [[2, 4], [5, 2], [11, 1]], 'field_poly': [11, 0, -7, 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': 1, 'hecke_cutters': [[2, [11, 0, -8, 0, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007199288295549, 'hecke_ring_generator_nbound': 3, '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, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [0, 0, 0, -1], [0, -1, 0, 0], [1, 0, -2, 0], [0, 0, 0, 0], [1, 0, 3, 0], [0, 1, 0, 1], [0, 2, 0, -1], [1, 0, 1, 0], [0, 0, 0, 0], [2, 0, 0, 0], [0, -1, 0, 2], [0, 0, 0, 2], [-4, 0, -1, 0], [0, 0, 0, 0], [-1, 0, -4, 0], [0, -2, 0, 0], [0, -1, 0, 0], [6, 0, 2, 0], [0, 0, 0, 0], [-5, 0, -4, 0], [0, 0, 0, -2], [0, 1, 0, -1], [-7, 0, 1, 0], [0, 0, 0, 0], [-6, 0, 4, 0], [0, 2, 0, -1], [0, -1, 0, 1], [-1, 0, 3, 0], [0, 0, 0, 0], [2, 0, 0, 0], [0, 0, 0, -1], [0, -2, 0, 0], [2, 0, 6, 0], [0, 0, 0, 0], [-1, 0, 1, 0], [0, 2, 0, -2], [0, -2, 0, -4], [-2, 0, -6, 0], [0, 0, 0, 0], [-3, 0, -5, 0], [0, 4, 0, 1], [0, 3, 0, -2], [2, 0, -4, 0], [0, 0, 0, 0], [2, 0, -5, 0], [0, -1, 0, 2], [0, 1, 0, 4], [2, 0, 5, 0], [0, 0, 0, 0], [8, 0, 2, 0], [0, -4, 0, 6], [0, 4, 0, 0], [1, 0, -8, 0], [0, 0, 0, 0], [6, 0, 7, 0], [0, -6, 0, -2], [0, -3, 0, 4], [-2, 0, -4, 0], [0, 0, 0, 0], [2, 0, 5, 0], [0, 0, 0, -2], [0, 2, 0, 1], [5, 0, 6, 0], [0, 0, 0, 0], [2, 0, 6, 0], [0, -2, 0, 0], [0, -2, 0, 4], [-3, 0, 2, 0], [0, 0, 0, 0], [2, 0, 10, 0], [0, 1, 0, 2], [0, -4, 0, -6], [4, 0, -10, 0], [0, 0, 0, 0], [2, 0, -6, 0], [0, 2, 0, 2], [0, 6, 0, -4], [4, 0, -2, 0], [0, 0, 0, 0], [-10, 0, -2, 0], [0, 5, 0, -2], [0, -3, 0, 1], [3, 0, -2, 0], [0, 0, 0, 0], [3, 0, -13, 0], [0, 1, 0, -3], [0, 4, 0, -2], [-8, 0, -1, 0], [0, 0, 0, 0], [8, 0, 2, 0], [0, 3, 0, -5], [0, -2, 0, 0], [-5, 0, 7, 0], [0, 0, 0, 0], [1, 0, 3, 0], [0, 4, 0, 2], [0, -5, 0, 3], [2, 0, 2, 0], [0, 0, 0, 0]], 'ap': [[0, 0, 0, -1], [0, -1, 0, 0], [0, 0, 0, 0], [0, 1, 0, 1], [2, 0, 0, 0], [0, 0, 0, 2], [0, -2, 0, 0], [6, 0, 2, 0], [0, 1, 0, -1], [-1, 0, 3, 0], [2, 0, 0, 0], [0, 2, 0, -2], [-3, 0, -5, 0], [0, 3, 0, -2], [0, -1, 0, 2], [0, 4, 0, 0], [-2, 0, -4, 0], [2, 0, 5, 0], [0, -2, 0, 0], [2, 0, 10, 0], [0, -4, 0, -6], [4, 0, -2, 0], [0, -3, 0, 1], [-8, 0, -1, 0], [0, 4, 0, 2], [-8, 0, -5, 0], [0, -6, 0, 0], [0, 1, 0, 6], [-7, 0, -9, 0], [0, 0, 0, 2], [0, -5, 0, -6], [-8, 0, -10, 0], [0, 2, 0, 8], [12, 0, -6, 0], [10, 0, 15, 0], [12, 0, 10, 0], [0, 6, 0, -4], [0, -5, 0, -3], [0, 3, 0, 0], [0, 6, 0, 4], [14, 0, 8, 0], [-3, 0, 5, 0], [2, 0, 10, 0], [0, -2, 0, -2], [0, -6, 0, -8], [-10, 0, -10, 0], [12, 0, -10, 0], [0, 1, 0, 4], [0, -5, 0, -1], [-16, 0, -7, 0], [0, 2, 0, -4], [-8, 0, -6, 0], [2, 0, -5, 0], [-8, 0, -20, 0], [0, -4, 0, -4], [0, 5, 0, -8], [6, 0, -8, 0], [-8, 0, 0, 0], [0, -10, 0, 4], [22, 0, 15, 0], [0, 2, 0, -4], [0, -12, 0, -2], [0, 1, 0, -9], [-18, 0, 0, 0], [0, 0, 0, 12], [0, -2, 0, -10], [12, 0, -10, 0], [0, 2, 0, -2], [0, 9, 0, 7], [0, 0, -15, 0], [0, 4, 0, 10], [-2, 0, 16, 0], [0, 3, 0, 5], [0, 6, 0, 14], [24, 0, 8, 0], [0, -3, 0, 6], [-23, 0, -1, 0], [0, -16, 0, 2], [-28, 0, -15, 0], [-2, 0, -19, 0], [-4, 0, 12, 0], [7, 0, 5, 0], [-8, 0, -10, 0], [0, 2, 0, -14], [2, 0, 14, 0], [0, -7, 0, -7], [10, 0, 0, 0], [0, -4, 0, -4], [12, 0, 15, 0], [0, -15, 0, 7], [0, -7, 0, -5], [-16, 0, -22, 0], [0, 7, 0, 8], [-18, 0, 10, 0], [10, 0, 10, 0], [0, -1, 0, -5], [18, 0, -4, 0], [27, 0, -5, 0], [0, 11, 0, -6], [-3, 0, 5, 0], [0, -11, 0, 7], [0, 6, 0, 16], [0, 10, 0, 12], [-9, 0, -23, 0], [32, 0, 0, 0], [0, 0, 0, -16], [0, 2, 0, -12], [0, 18, 0, -2], [-20, 0, -30, 0], [-3, 0, 15, 0], [0, -14, 0, -4], [0, 0, 0, -8], [0, 18, 0, 0], [26, 0, 22, 0], [2, 0, -20, 0], [17, 0, 15, 0], [0, -7, 0, 13], [0, 14, 0, -8], [0, -6, 0, -10], [-2, 0, -14, 0], [-13, 0, -15, 0], [0, -4, 0, -6], [0, 0, 0, 4], [0, 7, 0, 16], [-8, 0, -10, 0], [22, 0, 0, 0], [8, 0, 21, 0], [16, 0, 2, 0], [0, 15, 0, 4], [0, -8, 0, 6], [32, 0, -6, 0], [0, -2, 0, 8], [-8, 0, -10, 0], [0, -4, 0, 6], [-28, 0, -15, 0], [-19, 0, 17, 0], [0, -4, 0, 4], [0, 17, 0, 8], [0, -16, 0, 2], [48, 0, 11, 0], [22, 0, 0, 0], [-18, 0, -15, 0], [0, 6, 0, 4], [0, 10, 0, 4], [9, 0, 3, 0], [-28, 0, -6, 0], [0, -16, 0, 0], [0, -4, 0, 6], [-12, 0, -24, 0], [0, -15, 0, -13], [0, -10, 0, -6], [2, 0, -25, 0], [0, 17, 0, 1], [0, -13, 0, 13], [0, 11, 0, -9], [22, 0, 40, 0], [-14, 0, 2, 0], [-26, 0, 13, 0], [0, -8, 0, 8], [42, 0, 20, 0], [0, 9, 0, -8], [0, 4, 0, 0], [0, 3, 0, 0], [-8, 0, 10, 0], [0, -10, 0, 4], [0, 22, 0, -4], [12, 0, -20, 0], [0, -6, 0, -8]], 'char_orbit_index': 1, 'field_poly': [11, 0, -7, 0, 1], 'hecke_orbit_code': 9007199288295549, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [4, 0, 1, 0], [0, 4, 0, 1]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [-4, 0, 1, 0], [0, -4, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '125.2.a.c', 'level': 125, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[5, -1]], 6, 2], [[[5, 1]], 2, 1]], 'ALdims': [2, 6], 'Nk2': 500, 'analytic_conductor': 0.9981300252660048, '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': [125, 1, [2], [1]], 'conrey_index': 1, 'cusp_dim': 8, 'dim': 8, 'eis_dim': 9, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 33554557, 'hecke_orbit_dims': [2, 2, 4], 'label': '125.2.a', 'level': 125, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [5], 'level_radical': 5, 'mf_dim': 17, 'mf_new_dim': 8, 'num_forms': 3, 'plus_dim': 2, 'prim_orbit_index': 1, 'relative_dim': 8, 'sturm_bound': 25, 'trace_bound': 2, 'trace_display': [0, 0, 0, 0], 'traces': [8, 0, 0, 6, 0, -4, 0, 0, 4, 0, -4, 0, 0, -8, 0, -2, 0, 0, 10, 0, 6, 0, 0, -20, 0, -14, 0, 0, -10, 0, 6, 0, 0, -18, 0, -22, 0, 0, -2, 0, -14, 0, 0, 22, 0, 26, 0, 0, 6, 0, 26, 0, 0, 10, 0, 10, 0, 0, 30, 0, -4, 0, 0, 16, 0, 2, 0, 0, -32, 0, -24, 0, 0, 12, 0, 20, 0, 0, 40, 0, -32, 0, 0, -8, 0, 56, 0, 0, -30, 0, 46, 0, 0, 2, 0, -34, 0, 0, -2, 0, -34, 0, 0, -70, 0, -4, 0, 0, -20, 0, 16, 0, 0, 20, 0, -20, 0, 0, -48, 0, -36, 0, 0, 42, 0, -54, 0, 0, 8, 0, 6, 0, 0, 32, 0, -40, 0, 0, 20, 0, -14, 0, 0, 24, 0, 76, 0, 0, -50, 0, -34, 0, 0, -46, 0, 86, 0, 0, -72, 0, -14, 0, 0, 52, 0, -34, 0, 0, 14, 0, 30, 0, 0, 80, 0, 26, 0, 0, 40, 0, 6, 0, 0, 30, 0, 22, 0, 0, 10, 0, 36, 0, 0, -48, 0, -58, 0, 0, 0, 0, 76, 0, 0, 32, 0, -54, 0, 0, 70, 0, 96, 0, 0, -108, 0, 100, 0, 0, 68, 0, -34, 0, 0, -68, 0, -14, 0, 0, -60, 0, -78, 0, 0, -32, 0, 10, 0, 0, 70, 0, -14, 0, 0, -78, 0, -68, 0, 0, 88, 0, -34, 0, 0, 122, 0, -62, 0, 0, 32, 0, -80, 0, 0, -90, 0, -110, 0, 0, 10, 0, 26, 0, 0, -138, 0, -24, 0, 0, -72, 0, 106, 0, 0, -118, 0, -118, 0, 0, -44, 0, -64, 0, 0, 72, 0, 160, 0, 0, -12, 0, 116, 0, 0, 10, 0, 66, 0, 0, 78, 0, -54, 0, 0, 142, 0, 30, 0, 0, -20, 0, 56, 0, 0, -24, 0, 86, 0, 0, 22, 0, 6, 0, 0, -18, 0, 86, 0, 0, -102, 0, 22, 0, 0, 130, 0, -74, 0, 0, 50, 0, -70, 0, 0, -90, 0, -110, 0, 0, -70, 0, -2, 0, 0, 72, 0, 52, 0, 0, -32, 0, 6, 0, 0, 34, 0, -140, 0, 0, 90, 0, 46, 0, 0, 160, 0, -44, 0, 0, -30, 0, -44, 0, 0, 102, 0, 36, 0, 0, -130, 0, -34, 0, 0, 12, 0, 110, 0, 0, -70, 0, -34, 0, 0, -12, 0, -44, 0, 0, -40, 0, 76, 0, 0, 130, 0, 162, 0, 0, 26, 0, 6, 0, 0, 44, 0, 110, 0, 0, 20, 0, 28, 0, 0, -188, 0, -74, 0, 0, -50, 0, 32, 0, 0, 22, 0, -150, 0, 0, -40, 0, 96, 0, 0, -160, 0, 166, 0, 0, 102, 0, -194, 0, 0, -70, 0, 14, 0, 0, -110, 0, -144, 0, 0, -52, 0, -14, 0, 0, 148, 0, -14, 0, 0, -180, 0, -64, 0, 0, 100, 0, -74, 0, 0, 130, 0, 12, 0, 0, 80, 0, -114, 0, 0, -58, 0, -194, 0, 0, 18, 0, 76, 0, 0, -8, 0, 86, 0, 0, -126, 0, 40, 0, 0, -60, 0, -90, 0, 0, -28, 0, -114, 0, 0, 22, 0, 52, 0, 0, 98, 0, -50, 0, 0, -78, 0, 190, 0, 0, -22, 0, 62, 0, 0, 152, 0, 116, 0, 0, 10, 0, 76, 0, 0, 14, 0, 8, 0, 0, 108, 0, 26, 0, 0, 30, 0, 106, 0, 0, 20, 0, 186, 0, 0, 70, 0, -100, 0, 0, -50, 0, -134, 0, 0, -38, 0, -58, 0, 0, -120, 0, 176, 0, 0, 92, 0, 20, 0, 0, -40, 0, 30, 0, 0, 88, 0, -264, 0, 0, -28, 0, 56, 0, 0, 232, 0, -54, 0, 0, 38, 0, -64, 0, 0, 2, 0, 90, 0, 0, -90, 0, -108, 0, 0, -90, 0, 116, 0, 0, -70, 0, -54, 0, 0, -70, 0, -44, 0, 0, 18, 0, 2, 0, 0, 162, 0, 148, 0, 0, 22, 0, 96, 0, 0, 10, 0, 50, 0, 0, -52, 0, 136, 0, 0, -148, 0, 0, 0, 0, -62, 0, 166, 0, 0, -8, 0, -204, 0, 0, -20, 0, 70, 0, 0, -126, 0, 30, 0, 0, 210, 0, -144, 0, 0, -58, 0, 18, 0, 0, -56, 0, -164, 0, 0, -68, 0, 46, 0, 0, 220, 0, -40, 0, 0, -140, 0, -224, 0, 0, 162, 0, 16, 0, 0, 230, 0, -80, 0, 0, 16, 0, -154, 0, 0, -148, 0, -184, 0, 0, -90, 0, 106, 0, 0, -172, 0, 110, 0, 0, -30, 0, 12, 0, 0, -114, 0, -228, 0, 0, -102, 0, -104, 0, 0, 2, 0, 100, 0, 0, -38, 0, 160, 0, 0, -18, 0, 2, 0, 0, 230, 0, -4, 0, 0, 144, 0, 6, 0, 0, -102, 0, -24, 0, 0, -120, 0, 20, 0, 0, 140, 0, 46, 0, 0, -110, 0, 40, 0, 0, -130, 0, 18, 0, 0, 172, 0, -24, 0, 0, -12, 0, -4, 0, 0, -96, 0, -40, 0, 0, -20, 0, 52, 0, 0, 10, 0, 216, 0, 0, -20, 0, 116, 0, 0, 20, 0, -174, 0, 0, 58, 0, 106, 0, 0, 112, 0, 56, 0, 0, -108, 0, -84, 0, 0, 250, 0, 120, 0, 0, 130, 0, -74, 0, 0, -120, 0, 142, 0, 0, -42, 0, -4, 0, 0, 92, 0, -20, 0, 0, -40, 0, 106, 0, 0, 104, 0, -64, 0, 0, -10, 0, 20, 0, 0, -18, 0, 90, 0, 0, 48, 0, 86, 0, 0, 80, 0, 22, 0, 0, -212, 0, 76, 0, 0, -2, 0, -10, 0, 0, 82, 0, -106, 0, 0, 52, 0, 82, 0, 0, 170, 0, -124, 0, 0, -138, 0, -24, 0, 0, -60, 0, -160, 0, 0, -40, 0, 10, 0, 0, 48, 0, -64, 0, 0, -26, 0, 16, 0, 0, 160, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 106600
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '125.2.a.c', 'source_level': 125, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '125.2.a.c', 'target_level': 125, 'twist_class_label': '125.2.a.c', 'twist_class_level': 125, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 106601
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '125.2.a.c', 'source_level': 125, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '125.2.a.c', 'target_level': 125, 'twist_class_label': '125.2.a.c', 'twist_class_level': 125, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 106602
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '125.2.a.c', 'source_level': 125, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '125.2.b.a', 'target_level': 125, 'twist_class_label': '125.2.a.c', 'twist_class_level': 125, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 106603
{'conductor': 25, 'degree': 4, 'multiplicity': 2, 'order': 5, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '125.2.a.c', 'source_level': 125, 'target_char_orbit': 4, 'target_dim': 8, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '625.2.d.k', 'target_level': 625, 'twist_class_label': '125.2.a.c', 'twist_class_level': 125, 'twisting_char_label': '25.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 106604
{'conductor': 25, 'degree': 4, 'multiplicity': 2, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '125.2.a.c', 'source_level': 125, 'target_char_orbit': 4, 'target_dim': 8, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '625.2.d.k', 'target_level': 625, 'twist_class_label': '125.2.a.c', 'twist_class_level': 125, 'twisting_char_label': '25.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 106605
{'conductor': 25, 'degree': 4, 'multiplicity': 2, 'order': 5, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '125.2.a.c', 'source_level': 125, 'target_char_orbit': 4, 'target_dim': 8, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '625.2.d.l', 'target_level': 625, 'twist_class_label': '125.2.a.c', 'twist_class_level': 125, 'twisting_char_label': '25.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 106606
{'conductor': 25, 'degree': 4, 'multiplicity': 2, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '125.2.a.c', 'source_level': 125, 'target_char_orbit': 4, 'target_dim': 8, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '625.2.d.l', 'target_level': 625, 'twist_class_label': '125.2.a.c', 'twist_class_level': 125, 'twisting_char_label': '25.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 106607
{'conductor': 25, 'degree': 8, 'multiplicity': 4, 'order': 20, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '125.2.a.c', 'source_level': 125, 'target_char_orbit': 5, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '625.2.e.b', 'target_level': 625, 'twist_class_label': '125.2.a.c', 'twist_class_level': 125, 'twisting_char_label': '25.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 106608
{'conductor': 25, 'degree': 8, 'multiplicity': 4, 'order': 20, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '125.2.a.c', 'source_level': 125, 'target_char_orbit': 5, 'target_dim': 8, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '625.2.e.h', 'target_level': 625, 'twist_class_label': '125.2.a.c', 'twist_class_level': 125, 'twisting_char_label': '25.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 106609
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '125.2.a.c', 'source_level': 125, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '1125.2.a.k', 'target_level': 1125, 'twist_class_label': '125.2.a.c', 'twist_class_level': 125, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 106610
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '125.2.a.c', 'source_level': 125, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '1125.2.a.k', 'target_level': 1125, 'twist_class_label': '125.2.a.c', 'twist_class_level': 125, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 106611
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '125.2.a.c', 'source_level': 125, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1125.2.b.a', 'target_level': 1125, 'twist_class_label': '125.2.a.c', 'twist_class_level': 125, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 106612
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '125.2.a.c', 'source_level': 125, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '2000.2.a.o', 'target_level': 2000, 'twist_class_label': '125.2.a.c', 'twist_class_level': 125, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 106613
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '125.2.a.c', 'source_level': 125, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '2000.2.a.o', 'target_level': 2000, 'twist_class_label': '125.2.a.c', 'twist_class_level': 125, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 106614
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '125.2.a.c', 'source_level': 125, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '2000.2.c.c', 'target_level': 2000, 'twist_class_label': '125.2.a.c', 'twist_class_level': 125, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 106615
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '125.2.a.c', 'source_level': 125, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '6125.2.a.o', 'target_level': 6125, 'twist_class_label': '125.2.a.c', 'twist_class_level': 125, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 106616
{'conductor': 35, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '125.2.a.c', 'source_level': 125, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '6125.2.a.o', 'target_level': 6125, 'twist_class_label': '125.2.a.c', 'twist_class_level': 125, 'twisting_char_label': '35.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 106617
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '125.2.a.c', 'source_level': 125, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 36, 'target_is_minimal': False, 'target_label': '8000.2.a.bj', 'target_level': 8000, 'twist_class_label': '125.2.a.c', 'twist_class_level': 125, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 106618
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '125.2.a.c', 'source_level': 125, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 36, 'target_is_minimal': False, 'target_label': '8000.2.a.bj', 'target_level': 8000, 'twist_class_label': '125.2.a.c', 'twist_class_level': 125, 'twisting_char_label': '40.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 106619
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '125.2.a.c', 'source_level': 125, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 37, 'target_is_minimal': False, 'target_label': '8000.2.a.bk', 'target_level': 8000, 'twist_class_label': '125.2.a.c', 'twist_class_level': 125, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 106620
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '125.2.a.c', 'source_level': 125, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 37, 'target_is_minimal': False, 'target_label': '8000.2.a.bk', 'target_level': 8000, 'twist_class_label': '125.2.a.c', 'twist_class_level': 125, 'twisting_char_label': '40.e', 'twisting_char_orbit': 5, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 347800
{'charpoly_factorization': [[[11, 0, -8, 0, 1], 1]], 'hecke_orbit_code': 9007199288295549, 'p': 2}
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id: 347801
{'charpoly_factorization': [[[11, 0, -7, 0, 1], 1]], 'hecke_orbit_code': 9007199288295549, 'p': 3}
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id: 347802
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9007199288295549, 'p': 5}
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id: 347803
{'charpoly_factorization': [[[11, 0, -13, 0, 1], 1]], 'hecke_orbit_code': 9007199288295549, 'p': 7}
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id: 347804
{'charpoly_factorization': [[[-2, 1], 4]], 'hecke_orbit_code': 9007199288295549, 'p': 11}
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id: 347805
{'charpoly_factorization': [[[176, 0, -32, 0, 1], 1]], 'hecke_orbit_code': 9007199288295549, 'p': 13}
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id: 347806
{'charpoly_factorization': [[[176, 0, -28, 0, 1], 1]], 'hecke_orbit_code': 9007199288295549, 'p': 17}
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id: 347807
{'charpoly_factorization': [[[20, -10, 1], 2]], 'hecke_orbit_code': 9007199288295549, 'p': 19}
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id: 347808
{'charpoly_factorization': [[[11, 0, -17, 0, 1], 1]], 'hecke_orbit_code': 9007199288295549, 'p': 23}
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id: 347809
{'charpoly_factorization': [[[-5, 5, 1], 2]], 'hecke_orbit_code': 9007199288295549, 'p': 29}
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id: 347810
{'charpoly_factorization': [[[-2, 1], 4]], 'hecke_orbit_code': 9007199288295549, 'p': 31}
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id: 347811
{'charpoly_factorization': [[[176, 0, -68, 0, 1], 1]], 'hecke_orbit_code': 9007199288295549, 'p': 37}
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id: 347812
{'charpoly_factorization': [[[-31, 1, 1], 2]], 'hecke_orbit_code': 9007199288295549, 'p': 41}
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id: 347813
{'charpoly_factorization': [[[1331, 0, -107, 0, 1], 1]], 'hecke_orbit_code': 9007199288295549, 'p': 43}
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id: 347814
{'charpoly_factorization': [[[11, 0, -43, 0, 1], 1]], 'hecke_orbit_code': 9007199288295549, 'p': 47}
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id: 347815
{'charpoly_factorization': [[[2816, 0, -112, 0, 1], 1]], 'hecke_orbit_code': 9007199288295549, 'p': 53}
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id: 347816
{'charpoly_factorization': [[[-20, 0, 1], 2]], 'hecke_orbit_code': 9007199288295549, 'p': 59}
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id: 347817
{'charpoly_factorization': [[[-31, 1, 1], 2]], 'hecke_orbit_code': 9007199288295549, 'p': 61}
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id: 347818
{'charpoly_factorization': [[[176, 0, -28, 0, 1], 1]], 'hecke_orbit_code': 9007199288295549, 'p': 67}
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id: 347819
{'charpoly_factorization': [[[-116, 6, 1], 2]], 'hecke_orbit_code': 9007199288295549, 'p': 71}
-
id: 347820
{'charpoly_factorization': [[[21296, 0, -352, 0, 1], 1]], 'hecke_orbit_code': 9007199288295549, 'p': 73}
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id: 347821
{'charpoly_factorization': [[[20, -10, 1], 2]], 'hecke_orbit_code': 9007199288295549, 'p': 79}
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id: 347822
{'charpoly_factorization': [[[1331, 0, -77, 0, 1], 1]], 'hecke_orbit_code': 9007199288295549, 'p': 83}
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id: 347823
{'charpoly_factorization': [[[55, 15, 1], 2]], 'hecke_orbit_code': 9007199288295549, 'p': 89}
-
id: 347824
{'charpoly_factorization': [[[176, 0, -128, 0, 1], 1]], 'hecke_orbit_code': 9007199288295549, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 3, 'label': '125.2.a.c', 'level': 125, 'portrait': 'data:image/png;base64,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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 100830000
{'hecke_orbit_code': 9007199288295549, 'n': 1, 'trace_an': 4}
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id: 100830001
{'hecke_orbit_code': 9007199288295549, 'n': 2, 'trace_an': 0}
-
id: 100830002
{'hecke_orbit_code': 9007199288295549, 'n': 3, 'trace_an': 0}
-
id: 100830003
{'hecke_orbit_code': 9007199288295549, 'n': 4, 'trace_an': 8}
-
id: 100830004
{'hecke_orbit_code': 9007199288295549, 'n': 5, 'trace_an': 0}
-
id: 100830005
{'hecke_orbit_code': 9007199288295549, 'n': 6, 'trace_an': -2}
-
id: 100830006
{'hecke_orbit_code': 9007199288295549, 'n': 7, 'trace_an': 0}
-
id: 100830007
{'hecke_orbit_code': 9007199288295549, 'n': 8, 'trace_an': 0}
-
id: 100830008
{'hecke_orbit_code': 9007199288295549, 'n': 9, 'trace_an': 2}
-
id: 100830009
{'hecke_orbit_code': 9007199288295549, 'n': 10, 'trace_an': 0}
-
id: 100830010
{'hecke_orbit_code': 9007199288295549, 'n': 11, 'trace_an': 8}
-
id: 100830011
{'hecke_orbit_code': 9007199288295549, 'n': 12, 'trace_an': 0}
-
id: 100830012
{'hecke_orbit_code': 9007199288295549, 'n': 13, 'trace_an': 0}
-
id: 100830013
{'hecke_orbit_code': 9007199288295549, 'n': 14, 'trace_an': -14}
-
id: 100830014
{'hecke_orbit_code': 9007199288295549, 'n': 15, 'trace_an': 0}
-
id: 100830015
{'hecke_orbit_code': 9007199288295549, 'n': 16, 'trace_an': 4}
-
id: 100830016
{'hecke_orbit_code': 9007199288295549, 'n': 17, 'trace_an': 0}
-
id: 100830017
{'hecke_orbit_code': 9007199288295549, 'n': 18, 'trace_an': 0}
-
id: 100830018
{'hecke_orbit_code': 9007199288295549, 'n': 19, 'trace_an': 20}
-
id: 100830019
{'hecke_orbit_code': 9007199288295549, 'n': 20, 'trace_an': 0}
-
id: 100830020
{'hecke_orbit_code': 9007199288295549, 'n': 21, 'trace_an': -12}
-
id: 100830021
{'hecke_orbit_code': 9007199288295549, 'n': 22, 'trace_an': 0}
-
id: 100830022
{'hecke_orbit_code': 9007199288295549, 'n': 23, 'trace_an': 0}
-
id: 100830023
{'hecke_orbit_code': 9007199288295549, 'n': 24, 'trace_an': -30}
-
id: 100830024
{'hecke_orbit_code': 9007199288295549, 'n': 25, 'trace_an': 0}
-
id: 100830025
{'hecke_orbit_code': 9007199288295549, 'n': 26, 'trace_an': -32}
-
id: 100830026
{'hecke_orbit_code': 9007199288295549, 'n': 27, 'trace_an': 0}
-
id: 100830027
{'hecke_orbit_code': 9007199288295549, 'n': 28, 'trace_an': 0}
-
id: 100830028
{'hecke_orbit_code': 9007199288295549, 'n': 29, 'trace_an': -10}
-
id: 100830029
{'hecke_orbit_code': 9007199288295549, 'n': 30, 'trace_an': 0}
-
id: 100830030
{'hecke_orbit_code': 9007199288295549, 'n': 31, 'trace_an': 8}
-
id: 100830031
{'hecke_orbit_code': 9007199288295549, 'n': 32, 'trace_an': 0}
-
id: 100830032
{'hecke_orbit_code': 9007199288295549, 'n': 33, 'trace_an': 0}
-
id: 100830033
{'hecke_orbit_code': 9007199288295549, 'n': 34, 'trace_an': -4}
-
id: 100830034
{'hecke_orbit_code': 9007199288295549, 'n': 35, 'trace_an': 0}
-
id: 100830035
{'hecke_orbit_code': 9007199288295549, 'n': 36, 'trace_an': -6}
-
id: 100830036
{'hecke_orbit_code': 9007199288295549, 'n': 37, 'trace_an': 0}
-
id: 100830037
{'hecke_orbit_code': 9007199288295549, 'n': 38, 'trace_an': 0}
-
id: 100830038
{'hecke_orbit_code': 9007199288295549, 'n': 39, 'trace_an': 4}
-
id: 100830039
{'hecke_orbit_code': 9007199288295549, 'n': 40, 'trace_an': 0}
-
id: 100830040
{'hecke_orbit_code': 9007199288295549, 'n': 41, 'trace_an': -2}
-
id: 100830041
{'hecke_orbit_code': 9007199288295549, 'n': 42, 'trace_an': 0}
-
id: 100830042
{'hecke_orbit_code': 9007199288295549, 'n': 43, 'trace_an': 0}
-
id: 100830043
{'hecke_orbit_code': 9007199288295549, 'n': 44, 'trace_an': 16}
-
id: 100830044
{'hecke_orbit_code': 9007199288295549, 'n': 45, 'trace_an': 0}
-
id: 100830045
{'hecke_orbit_code': 9007199288295549, 'n': 46, 'trace_an': 18}
-
id: 100830046
{'hecke_orbit_code': 9007199288295549, 'n': 47, 'trace_an': 0}
-
id: 100830047
{'hecke_orbit_code': 9007199288295549, 'n': 48, 'trace_an': 0}
-
id: 100830048
{'hecke_orbit_code': 9007199288295549, 'n': 49, 'trace_an': -2}
-
id: 100830049
{'hecke_orbit_code': 9007199288295549, 'n': 50, 'trace_an': 0}
-
id: 100830050
{'hecke_orbit_code': 9007199288295549, 'n': 51, 'trace_an': 28}
-
id: 100830051
{'hecke_orbit_code': 9007199288295549, 'n': 52, 'trace_an': 0}
-
id: 100830052
{'hecke_orbit_code': 9007199288295549, 'n': 53, 'trace_an': 0}
-
id: 100830053
{'hecke_orbit_code': 9007199288295549, 'n': 54, 'trace_an': 20}
-
id: 100830054
{'hecke_orbit_code': 9007199288295549, 'n': 55, 'trace_an': 0}
-
id: 100830055
{'hecke_orbit_code': 9007199288295549, 'n': 56, 'trace_an': 10}
-
id: 100830056
{'hecke_orbit_code': 9007199288295549, 'n': 57, 'trace_an': 0}
-
id: 100830057
{'hecke_orbit_code': 9007199288295549, 'n': 58, 'trace_an': 0}
-
id: 100830058
{'hecke_orbit_code': 9007199288295549, 'n': 59, 'trace_an': 0}
-
id: 100830059
{'hecke_orbit_code': 9007199288295549, 'n': 60, 'trace_an': 0}
-
id: 100830060
{'hecke_orbit_code': 9007199288295549, 'n': 61, 'trace_an': -2}
-
id: 100830061
{'hecke_orbit_code': 9007199288295549, 'n': 62, 'trace_an': 0}
-
id: 100830062
{'hecke_orbit_code': 9007199288295549, 'n': 63, 'trace_an': 0}
-
id: 100830063
{'hecke_orbit_code': 9007199288295549, 'n': 64, 'trace_an': 8}
-
id: 100830064
{'hecke_orbit_code': 9007199288295549, 'n': 65, 'trace_an': 0}
-
id: 100830065
{'hecke_orbit_code': 9007199288295549, 'n': 66, 'trace_an': -4}
-
id: 100830066
{'hecke_orbit_code': 9007199288295549, 'n': 67, 'trace_an': 0}
-
id: 100830067
{'hecke_orbit_code': 9007199288295549, 'n': 68, 'trace_an': 0}
-
id: 100830068
{'hecke_orbit_code': 9007199288295549, 'n': 69, 'trace_an': -16}
-
id: 100830069
{'hecke_orbit_code': 9007199288295549, 'n': 70, 'trace_an': 0}
-
id: 100830070
{'hecke_orbit_code': 9007199288295549, 'n': 71, 'trace_an': -12}
-
id: 100830071
{'hecke_orbit_code': 9007199288295549, 'n': 72, 'trace_an': 0}
-
id: 100830072
{'hecke_orbit_code': 9007199288295549, 'n': 73, 'trace_an': 0}
-
id: 100830073
{'hecke_orbit_code': 9007199288295549, 'n': 74, 'trace_an': 36}
-
id: 100830074
{'hecke_orbit_code': 9007199288295549, 'n': 75, 'trace_an': 0}
-
id: 100830075
{'hecke_orbit_code': 9007199288295549, 'n': 76, 'trace_an': 20}
-
id: 100830076
{'hecke_orbit_code': 9007199288295549, 'n': 77, 'trace_an': 0}
-
id: 100830077
{'hecke_orbit_code': 9007199288295549, 'n': 78, 'trace_an': 0}
-
id: 100830078
{'hecke_orbit_code': 9007199288295549, 'n': 79, 'trace_an': 20}
-
id: 100830079
{'hecke_orbit_code': 9007199288295549, 'n': 80, 'trace_an': 0}
-
id: 100830080
{'hecke_orbit_code': 9007199288295549, 'n': 81, 'trace_an': -36}
-
id: 100830081
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