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mf_newforms • Show schema
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{'Nk2': 3645, 'analytic_conductor': 11.035450706592025, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 45, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 8, 'char_orbit_label': 'h', 'char_order': 6, 'char_parity': -1, 'char_values': [405, 6, [326, 82], [5, 3]], 'cm_discs': [], 'conrey_index': 134, 'dim': 48, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [2116, 0, 227700, 0, 24204006, 0, 31875278, 0, 28888893, 0, 12668130, 0, 3892596, 0, 785430, 0, 116559, 0, 11516, 0, 828, 0, 36, 0, 1]], [7, [249120830301443136, 0, -217128448571819328, 0, 160934350709376144, 0, -22188972385542672, 0, 2110862636723340, 0, -101112666695748, 0, 3414397988790, 0, -74259791550, 0, 1177762275, 0, -11974230, 0, 87633, 0, -366, 0, 1]]], 'hecke_orbit': 11, 'hecke_orbit_code': 45036477360374165, 'inner_twist_count': 8, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 5, 2, 1, 2, 0], [1, 1, 9, 3, 1, 3, 0], [1, 1, 9, 4, -1, 6, 0], 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 3645, 'analytic_conductor': 11.035450706592025, 'char_conductor': 45, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 8, 'char_orbit_label': 'h', 'char_order': 6, 'char_parity': -1, 'char_values': [405, 6, [326, 82], [5, 3]], 'conrey_index': 134, 'cusp_dim': 192, 'dim': 92, 'eis_dim': 48, 'eis_new_dim': 8, 'hecke_cutter_primes': [2, 7], 'hecke_orbit_code': 481086669205, 'hecke_orbit_dims': [2, 2, 4, 4, 4, 4, 4, 4, 8, 8, 48], 'label': '405.3.h', 'level': 405, '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], 'level_radical': 15, 'mf_dim': 240, 'mf_new_dim': 100, 'num_forms': 11, 'prim_orbit_index': 8, 'relative_dim': 46, 'sturm_bound': 162, 'trace_bound': 5, 'trace_display': [0, 0, 0, 0], 'traces': [92, 0, 0, -84, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, -140, 0, 0, -8, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -56, 0, 0, -10, 0, 0, 0, 0, 0, 92, 0, 0, 0, 0, 0, -508, 0, 0, 290, 0, 0, 0, 0, 0, -156, 0, 0, 0, 0, 0, 100, 0, 0, -316, 0, 0, 0, 0, 0, 102, 0, 0, 0, 0, 0, 474, 0, 0, 616, 0, 0, 0, 0, 0, 76, 0, 0, 0, 0, 0, 552, 0, 0, -748, 0, 0, 0, 0, 0, 852, 0, 0, 0, 0, 0, -610, 0, 0, -128, 0, 0, 0, 0, 0, -224, 0, 0, 0, 0, 0, 434, 0, 0, -966, 0, 0, 0, 0, 0, -1200, 0, 0, 0, 0, 0, -440, 0, 0, -56, 0, 0, 0, 0, 0, 312, 0, 0, 0, 0, 0, 208, 0, 0, 3720, 0, 0, 0, 0, 0, 1398, 0, 0, 0, 0, 0, -1354, 0, 0, 458, 0, 0, 0, 0, 0, -186, 0, 0, 0, 0, 0, -2072, 0, 0, 1324, 0, 0, 0, 0, 0, -916, 0, 0, 0, 0, 0, 456, 0, 0, -1328, 0, 0, 0, 0, 0, 696, 0, 0, 0, 0, 0, 1060, 0, 0, 956, 0, 0, 0, 0, 0, 1818, 0, 0, 0, 0, 0, 2552, 0, 0, -320, 0, 0, 0, 0, 0, -560, 0, 0, 0, 0, 0, -3152, 0, 0, -8004, 0, 0, 0, 0, 0, -1952, 0, 0, 0, 0, 0, 1980, 0, 0, -2052, 0, 0, 0, 0, 0, -1718, 0, 0, 0, 0, 0, 3232, 0, 0, -550, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, -84, 0, 0, 7764, 0, 0, 0, 0, 0, 912, 0, 0, 0, 0, 0, -2280, 0, 0, 3842, 0, 0, 0, 0, 0, 1184, 0, 0, 0, 0, 0, -11676, 0, 0, 924, 0, 0, 0, 0, 0, 2832, 0, 0, 0, 0, 0, 1648, 0, 0, -1684, 0, 0, 0, 0, 0, 2274, 0, 0, 0, 0, 0, 1046, 0, 0, -548, 0, 0, 0, 0, 0, 972, 0, 0, 0, 0, 0, 3588, 0, 0, -3744, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, -1856, 0, 0, -2696, 0, 0, 0, 0, 0, -5250, 0, 0, 0, 0, 0, 368, 0, 0, -5026, 0, 0, 0, 0, 0, -5870, 0, 0, 0, 0, 0, 12864, 0, 0, -1412, 0, 0, 0, 0, 0, -4748, 0, 0, 0, 0, 0, 3556, 0, 0, 13624, 0, 0, 0, 0, 0, 1956, 0, 0, 0, 0, 0, -462, 0, 0, 3220, 0, 0, 0, 0, 0, 2952, 0, 0, 0, 0, 0, -12768, 0, 0, 4922, 0, 0, 0, 0, 0, 6324, 0, 0, 0, 0, 0, -664, 0, 0, -8376, 0, 0, 0, 0, 0, 2068, 0, 0, 0, 0, 0, 180, 0, 0, 924, 0, 0, 0, 0, 0, 6820, 0, 0, 0, 0, 0, 5228, 0, 0, -4016, 0, 0, 0, 0, 0, -6636, 0, 0, 0, 0, 0, -216, 0, 0, -15148, 0, 0, 0, 0, 0, -6720, 0, 0, 0, 0, 0, -64, 0, 0, -1890, 0, 0, 0, 0, 0, -3782, 0, 0, 0, 0, 0, -32, 0, 0, 3126, 0, 0, 0, 0, 0, 8340, 0, 0, 0, 0, 0, 8616, 0, 0, 19416, 0, 0, 0, 0, 0, 4336, 0, 0, 0, 0, 0, -1844, 0, 0, 4272, 0, 0, 0, 0, 0, 828, 0, 0, 0, 0, 0, -7252, 0, 0, 11324, 0, 0, 0, 0, 0, 1920, 0, 0, 0, 0, 0, -2720, 0, 0, -9312, 0, 0, 0, 0, 0, 6662, 0, 0, 0, 0, 0, -5988, 0, 0, 3232, 0, 0, 0, 0, 0, 1988, 0, 0, 0, 0, 0, 4864, 0, 0, -7330, 0, 0, 0, 0, 0, -20948, 0, 0, 0, 0, 0, -5078, 0, 0, -8736, 0, 0, 0, 0, 0, -5766, 0, 0, 0, 0, 0, 6496, 0, 0, -19604, 0, 0, 0, 0, 0, -12036, 0, 0, 0, 0, 0, 20832, 0, 0, -4944, 0, 0, 0, 0, 0, -440, 0, 0, 0, 0, 0, 256, 0, 0, 20984, 0, 0, 0, 0, 0, -6822, 0, 0, 0, 0, 0, -3412, 0, 0, 8056, 0, 0, 0, 0, 0, 4836, 0, 0, 0, 0, 0, -6360, 0, 0, 9978, 0, 0, 0, 0, 0, 12060, 0, 0, 0, 0, 0, 462, 0, 0, -3152, 0, 0, 0, 0, 0, 6870, 0, 0, 0, 0, 0, -11084, 0, 0, -2460, 0, 0, 0, 0, 0, 6556, 0, 0, 0, 0, 0, -460, 0, 0, -9836, 0, 0, 0, 0, 0, -3836, 0, 0, 0, 0, 0, -1296, 0, 0, -14672, 0, 0, 0, 0, 0, -7354, 0, 0, 0, 0, 0, 4800, 0, 0, -8428, 0, 0, 0, 0, 0, -5964, 0, 0, 0, 0, 0, -3560, 0, 0, -10584, 0, 0, 0, 0, 0, 8712, 0, 0, 0, 0, 0, 11616, 0, 0, 15376, 0, 0, 0, 0, 0, -3008, 0, 0, 0, 0, 0, 8750, 0, 0, 23154, 0, 0, 0, 0, 0, 17906, 0, 0, 0, 0, 0, -28304, 0, 0, 18244, 0, 0, 0, 0, 0, 13588, 0, 0, 0, 0, 0, -2604, 0, 0, -21716, 0, 0, 0, 0, 0, 9426, 0, 0, 0, 0, 0, 2978, 0, 0, -1692, 0, 0, 0, 0, 0, -630, 0, 0, 0, 0, 0, 5816, 0, 0, -10544, 0, 0, 0, 0, 0, -27768, 0, 0, 0, 0, 0, 7386, 0, 0, -15656, 0, 0, 0, 0, 0, -10296, 0, 0, 0, 0, 0, 136, 0, 0, -11962, 0, 0, 0, 0, 0, -13596, 0, 0, 0, 0, 0, 1416, 0, 0, -828, 0, 0, 0, 0, 0, 7296, 0, 0, 0, 0, 0, 4434, 0, 0, 58308, 0, 0, 0, 0, 0, 3018, 0, 0, 0, 0, 0, 8570, 0, 0, 5688, 0, 0, 0, 0, 0, -2774, 0, 0, 0, 0, 0, 10456, 0, 0, 26136, 0, 0, 0, 0, 0, 9284], 'weight': 3, 'weight_parity': -1}
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mf_twists_cc • Show schema
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id: 47211578
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 134, 'source_dim': 48, 'source_embedding_index': 24, 'source_hecke_orbit_code': 45036477360374165, 'source_is_minimal': False, 'source_label': '405.3.h.k.134.24', 'source_level': 405, 'target_conrey_index': 134, 'target_dim': 48, 'target_embedding_index': 24, 'target_hecke_orbit_code': 45036477360374165, 'target_is_minimal': False, 'target_label': '405.3.h.k.134.24', 'target_level': 405, 'twist_class_label': '405.3.d.b.404.1', 'twist_class_level': 405, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 3}
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id: 47211579
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 134, 'source_dim': 48, 'source_embedding_index': 24, 'source_hecke_orbit_code': 45036477360374165, 'source_is_minimal': False, 'source_label': '405.3.h.k.134.24', 'source_level': 405, 'target_conrey_index': 134, 'target_dim': 48, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45036477360374165, 'target_is_minimal': False, 'target_label': '405.3.h.k.134.1', 'target_level': 405, 'twist_class_label': '405.3.d.b.404.1', 'twist_class_level': 405, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 3}
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id: 47211580
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 134, 'source_dim': 48, 'source_embedding_index': 24, 'source_hecke_orbit_code': 45036477360374165, 'source_is_minimal': False, 'source_label': '405.3.h.k.134.24', 'source_level': 405, 'target_conrey_index': 134, 'target_dim': 48, 'target_embedding_index': 2, 'target_hecke_orbit_code': 45036477360374165, 'target_is_minimal': False, 'target_label': '405.3.h.k.134.2', 'target_level': 405, 'twist_class_label': '405.3.d.b.404.1', 'twist_class_level': 405, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 3}
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id: 47211581
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 134, 'source_dim': 48, 'source_embedding_index': 24, 'source_hecke_orbit_code': 45036477360374165, 'source_is_minimal': False, 'source_label': '405.3.h.k.134.24', 'source_level': 405, 'target_conrey_index': 269, 'target_dim': 48, 'target_embedding_index': 2, 'target_hecke_orbit_code': 45036477360374165, 'target_is_minimal': False, 'target_label': '405.3.h.k.269.2', 'target_level': 405, 'twist_class_label': '405.3.d.b.404.1', 'twist_class_level': 405, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 3}
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id: 47211582
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 134, 'source_dim': 48, 'source_embedding_index': 24, 'source_hecke_orbit_code': 45036477360374165, 'source_is_minimal': False, 'source_label': '405.3.h.k.134.24', 'source_level': 405, 'target_conrey_index': 404, 'target_dim': 24, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503805836132757, 'target_is_minimal': True, 'target_label': '405.3.d.b.404.1', 'target_level': 405, 'twist_class_label': '405.3.d.b.404.1', 'twist_class_level': 405, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 3}
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id: 47211583
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 134, 'source_dim': 48, 'source_embedding_index': 24, 'source_hecke_orbit_code': 45036477360374165, 'source_is_minimal': False, 'source_label': '405.3.h.k.134.24', 'source_level': 405, 'target_conrey_index': 404, 'target_dim': 24, 'target_embedding_index': 24, 'target_hecke_orbit_code': 4503805836132757, 'target_is_minimal': True, 'target_label': '405.3.d.b.404.24', 'target_level': 405, 'twist_class_label': '405.3.d.b.404.1', 'twist_class_level': 405, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 3}
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id: 47211584
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 134, 'source_dim': 48, 'source_embedding_index': 24, 'source_hecke_orbit_code': 45036477360374165, 'source_is_minimal': False, 'source_label': '405.3.h.k.134.24', 'source_level': 405, 'target_conrey_index': 269, 'target_dim': 48, 'target_embedding_index': 23, 'target_hecke_orbit_code': 45036477360374165, 'target_is_minimal': False, 'target_label': '405.3.h.k.269.23', 'target_level': 405, 'twist_class_label': '405.3.d.b.404.1', 'twist_class_level': 405, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 3}
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id: 47211585
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 134, 'source_dim': 48, 'source_embedding_index': 24, 'source_hecke_orbit_code': 45036477360374165, 'source_is_minimal': False, 'source_label': '405.3.h.k.134.24', 'source_level': 405, 'target_conrey_index': 134, 'target_dim': 48, 'target_embedding_index': 23, 'target_hecke_orbit_code': 45036477360374165, 'target_is_minimal': False, 'target_label': '405.3.h.k.134.23', 'target_level': 405, 'twist_class_label': '405.3.d.b.404.1', 'twist_class_level': 405, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 3}
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id: 47211586
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 134, 'source_dim': 48, 'source_embedding_index': 24, 'source_hecke_orbit_code': 45036477360374165, 'source_is_minimal': False, 'source_label': '405.3.h.k.134.24', 'source_level': 405, 'target_conrey_index': 404, 'target_dim': 24, 'target_embedding_index': 23, 'target_hecke_orbit_code': 4503805836132757, 'target_is_minimal': True, 'target_label': '405.3.d.b.404.23', 'target_level': 405, 'twist_class_label': '405.3.d.b.404.1', 'twist_class_level': 405, 'twisting_char_label': '45.4', 'twisting_conrey_index': 4, 'weight': 3}
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id: 47211587
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 134, 'source_dim': 48, 'source_embedding_index': 24, 'source_hecke_orbit_code': 45036477360374165, 'source_is_minimal': False, 'source_label': '405.3.h.k.134.24', 'source_level': 405, 'target_conrey_index': 404, 'target_dim': 24, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503805836132757, 'target_is_minimal': True, 'target_label': '405.3.d.b.404.2', 'target_level': 405, 'twist_class_label': '405.3.d.b.404.1', 'twist_class_level': 405, 'twisting_char_label': '45.14', 'twisting_conrey_index': 14, 'weight': 3}
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id: 47211588
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 134, 'source_dim': 48, 'source_embedding_index': 24, 'source_hecke_orbit_code': 45036477360374165, 'source_is_minimal': False, 'source_label': '405.3.h.k.134.24', 'source_level': 405, 'target_conrey_index': 269, 'target_dim': 48, 'target_embedding_index': 24, 'target_hecke_orbit_code': 45036477360374165, 'target_is_minimal': False, 'target_label': '405.3.h.k.269.24', 'target_level': 405, 'twist_class_label': '405.3.d.b.404.1', 'twist_class_level': 405, 'twisting_char_label': '45.29', 'twisting_conrey_index': 29, 'weight': 3}
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id: 47211589
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 134, 'source_dim': 48, 'source_embedding_index': 24, 'source_hecke_orbit_code': 45036477360374165, 'source_is_minimal': False, 'source_label': '405.3.h.k.134.24', 'source_level': 405, 'target_conrey_index': 269, 'target_dim': 48, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45036477360374165, 'target_is_minimal': False, 'target_label': '405.3.h.k.269.1', 'target_level': 405, 'twist_class_label': '405.3.d.b.404.1', 'twist_class_level': 405, 'twisting_char_label': '45.34', 'twisting_conrey_index': 34, 'weight': 3}
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hecke_orbit_code 45036477360374165 does not appear in mf_hecke_charpolys
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mf_newform_portraits • Show schema
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{'char_orbit_index': 8, 'hecke_orbit': 11, 'label': '405.3.h.k', 'level': 405, 'portrait': 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', 'weight': 3}
-
mf_hecke_traces • Show schema
Hide schema
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id: 55533961
{'hecke_orbit_code': 45036477360374165, 'n': 1, 'trace_an': 48}
-
id: 55533962
{'hecke_orbit_code': 45036477360374165, 'n': 2, 'trace_an': 0}
-
id: 55533963
{'hecke_orbit_code': 45036477360374165, 'n': 3, 'trace_an': 0}
-
id: 55533964
{'hecke_orbit_code': 45036477360374165, 'n': 4, 'trace_an': -48}
-
id: 55533965
{'hecke_orbit_code': 45036477360374165, 'n': 5, 'trace_an': 0}
-
id: 55533966
{'hecke_orbit_code': 45036477360374165, 'n': 6, 'trace_an': 0}
-
id: 55533967
{'hecke_orbit_code': 45036477360374165, 'n': 7, 'trace_an': 0}
-
id: 55533968
{'hecke_orbit_code': 45036477360374165, 'n': 8, 'trace_an': 0}
-
id: 55533969
{'hecke_orbit_code': 45036477360374165, 'n': 9, 'trace_an': 0}
-
id: 55533970
{'hecke_orbit_code': 45036477360374165, 'n': 10, 'trace_an': 24}
-
id: 55533971
{'hecke_orbit_code': 45036477360374165, 'n': 11, 'trace_an': 0}
-
id: 55533972
{'hecke_orbit_code': 45036477360374165, 'n': 12, 'trace_an': 0}
-
id: 55533973
{'hecke_orbit_code': 45036477360374165, 'n': 13, 'trace_an': 0}
-
id: 55533974
{'hecke_orbit_code': 45036477360374165, 'n': 14, 'trace_an': 0}
-
id: 55533975
{'hecke_orbit_code': 45036477360374165, 'n': 15, 'trace_an': 0}
-
id: 55533976
{'hecke_orbit_code': 45036477360374165, 'n': 16, 'trace_an': -96}
-
id: 55533977
{'hecke_orbit_code': 45036477360374165, 'n': 17, 'trace_an': 0}
-
id: 55533978
{'hecke_orbit_code': 45036477360374165, 'n': 18, 'trace_an': 0}
-
id: 55533979
{'hecke_orbit_code': 45036477360374165, 'n': 19, 'trace_an': 0}
-
id: 55533980
{'hecke_orbit_code': 45036477360374165, 'n': 20, 'trace_an': 0}
-
id: 55533981
{'hecke_orbit_code': 45036477360374165, 'n': 21, 'trace_an': 0}
-
id: 55533982
{'hecke_orbit_code': 45036477360374165, 'n': 22, 'trace_an': 0}
-
id: 55533983
{'hecke_orbit_code': 45036477360374165, 'n': 23, 'trace_an': 0}
-
id: 55533984
{'hecke_orbit_code': 45036477360374165, 'n': 24, 'trace_an': 0}
-
id: 55533985
{'hecke_orbit_code': 45036477360374165, 'n': 25, 'trace_an': -48}
-
id: 55533986
{'hecke_orbit_code': 45036477360374165, 'n': 26, 'trace_an': 0}
-
id: 55533987
{'hecke_orbit_code': 45036477360374165, 'n': 27, 'trace_an': 0}
-
id: 55533988
{'hecke_orbit_code': 45036477360374165, 'n': 28, 'trace_an': 0}
-
id: 55533989
{'hecke_orbit_code': 45036477360374165, 'n': 29, 'trace_an': 0}
-
id: 55533990
{'hecke_orbit_code': 45036477360374165, 'n': 30, 'trace_an': 0}
-
id: 55533991
{'hecke_orbit_code': 45036477360374165, 'n': 31, 'trace_an': 0}
-
id: 55533992
{'hecke_orbit_code': 45036477360374165, 'n': 32, 'trace_an': 0}
-
id: 55533993
{'hecke_orbit_code': 45036477360374165, 'n': 33, 'trace_an': 0}
-
id: 55533994
{'hecke_orbit_code': 45036477360374165, 'n': 34, 'trace_an': -144}
-
id: 55533995
{'hecke_orbit_code': 45036477360374165, 'n': 35, 'trace_an': 0}
-
id: 55533996
{'hecke_orbit_code': 45036477360374165, 'n': 36, 'trace_an': 0}
-
id: 55533997
{'hecke_orbit_code': 45036477360374165, 'n': 37, 'trace_an': 0}
-
id: 55533998
{'hecke_orbit_code': 45036477360374165, 'n': 38, 'trace_an': 0}
-
id: 55533999
{'hecke_orbit_code': 45036477360374165, 'n': 39, 'trace_an': 0}
-
id: 55534000
{'hecke_orbit_code': 45036477360374165, 'n': 40, 'trace_an': -72}
-
id: 55534001
{'hecke_orbit_code': 45036477360374165, 'n': 41, 'trace_an': 0}
-
id: 55534002
{'hecke_orbit_code': 45036477360374165, 'n': 42, 'trace_an': 0}
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id: 55534003
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{'hecke_orbit_code': 45036477360374165, 'n': 947, 'trace_an': 0}
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id: 55534211
{'hecke_orbit_code': 45036477360374165, 'n': 953, 'trace_an': 0}
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id: 55534212
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id: 55534213
{'hecke_orbit_code': 45036477360374165, 'n': 967, 'trace_an': 0}
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id: 55534214
{'hecke_orbit_code': 45036477360374165, 'n': 971, 'trace_an': 0}
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id: 55534215
{'hecke_orbit_code': 45036477360374165, 'n': 977, 'trace_an': 0}
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id: 55534216
{'hecke_orbit_code': 45036477360374165, 'n': 983, 'trace_an': 0}
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id: 55534217
{'hecke_orbit_code': 45036477360374165, 'n': 991, 'trace_an': 2256}
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id: 55534218
{'hecke_orbit_code': 45036477360374165, 'n': 997, 'trace_an': 0}