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{'Nk2': 17280, 'analytic_conductor': 63.722062806199865, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [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': [1080, 1, [271, 541, 1001, 217], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 241, 'field_disc_factorization': [[241, 1]], 'field_poly': [-60, -1, 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': [[7, [-54, 5, 1]], [11, [-54, 5, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503599694480440, 'hecke_ring_generator_nbound': 7, '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': True, 'label': '1080.4.a.b', 'level': 1080, '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, 5], 'level_radical': 30, 'minimal_twist': '1080.4.a.a', 'nf_label': '2.2.241.1', 'prim_orbit_index': 1, 'qexp_display': 'q+5q^{5}+(-2-\\beta )q^{7}+(-3+\\beta )q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1080.4.a', 'trace_display': [0, 0, 10, -5], 'trace_hash': 1071812051830754833, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.866', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 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mf_hecke_nf • Show schema
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mf_newspaces • Show schema
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{'ALdims': [7, 6, 5, 6, 6, 7, 6, 5], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [6, 6, 6, 6, 6, 6, 6, 6], 'ALdims_old': [77, 69, 67, 75, 72, 68, 72, 76], 'Nk2': 17280, 'analytic_conductor': 63.722062806199865, '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': [1080, 1, [271, 541, 1001, 217], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 624, 'dim': 48, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11], 'hecke_orbit_code': 67109944, 'hecke_orbit_dims': [2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4], 'label': '1080.4.a', 'level': 1080, '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, 5], 'level_radical': 30, 'mf_dim': 672, 'mf_new_dim': 48, 'num_forms': 16, 'plus_dim': 26, 'prim_orbit_index': 1, 'relative_dim': 48, 'sturm_bound': 864, 'trace_bound': 7, 'trace_display': [0, 0, 0, -36], 'traces': [48, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, -180, 0, 0, 0, 0, 0, 1200, 0, 0, 0, 0, 0, -588, 0, 0, 0, 0, 0, -420, 0, 0, 0, 0, 0, 360, 0, 0, 0, 0, 0, 2652, 0, 0, 0, 0, 0, 180, 0, 0, 0, 0, 0, -900, 0, 0, 0, 0, 0, -492, 0, 0, 0, 0, 0, -180, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9012, 0, 0, 0, 0, 0, 228, 0, 0, 0, 0, 0, -2004, 0, 0, 0, 0, 0, -4464, 0, 0, 0, 0, 0, 480, 0, 0, 0, 0, 0, 14556, 0, 0, 0, 0, 0, 11736, 0, 0, 0, 0, 0, 7188, 0, 0, 0, 0, 0, -2652, 0, 0, 0, 0, 0, 540, 0, 0, 0, 0, 0, 5472, 0, 0, 0, 0, 0, 5352, 0, 0, 0, 0, 0, 4332, 0, 0, 0, 0, 0, 9960, 0, 0, 0, 0, 0, -900, 0, 0, 0, 0, 0, -9396, 0, 0, 0, 0, 0, -1512, 0, 0, 0, 0, 0, 3612, 0, 0, 0, 0, 0, 18720, 0, 0, 0, 0, 0, 1560, 0, 0, 0, 0, 0, -4404, 0, 0, 0, 0, 0, -15792, 0, 0, 0, 0, 0, 18408, 0, 0, 0, 0, 0, 15576, 0, 0, 0, 0, 0, -1080, 0, 0, 0, 0, 0, -8016, 0, 0, 0, 0, 0, -8508, 0, 0, 0, 0, 0, -2160, 0, 0, 0, 0, 0, -23556, 0, 0, 0, 0, 0, 1080, 0, 0, 0, 0, 0, 14052, 0, 0, 0, 0, 0, 11184, 0, 0, 0, 0, 0, 21576, 0, 0, 0, 0, 0, 6420, 0, 0, 0, 0, 0, 3720, 0, 0, 0, 0, 0, 6000, 0, 0, 0, 0, 0, -816, 0, 0, 0, 0, 0, -396, 0, 0, 0, 0, 0, -21996, 0, 0, 0, 0, 0, 900, 0, 0, 0, 0, 0, 2076, 0, 0, 0, 0, 0, 15036, 0, 0, 0, 0, 0, -12972, 0, 0, 0, 0, 0, 16860, 0, 0, 0, 0, 0, -2040, 0, 0, 0, 0, 0, -6732, 0, 0, 0, 0, 0, -108, 0, 0, 0, 0, 0, -38316, 0, 0, 0, 0, 0, 2628, 0, 0, 0, 0, 0, -27120, 0, 0, 0, 0, 0, -73428, 0, 0, 0, 0, 0, 24408, 0, 0, 0, 0, 0, -71016, 0, 0, 0, 0, 0, -27336, 0, 0, 0, 0, 0, -5040, 0, 0, 0, 0, 0, -10020, 0, 0, 0, 0, 0, 66396, 0, 0, 0, 0, 0, 8784, 0, 0, 0, 0, 0, 11880, 0, 0, 0, 0, 0, 7920, 0, 0, 0, 0, 0, -77976, 0, 0, 0, 0, 0, -29112, 0, 0, 0, 0, 0, -9732, 0, 0, 0, 0, 0, -55404, 0, 0, 0, 0, 0, -4500, 0, 0, 0, 0, 0, -29268, 0, 0, 0, 0, 0, -49020, 0, 0, 0, 0, 0, -85584, 0, 0, 0, 0, 0, 58344, 0, 0, 0, 0, 0, 13620, 0, 0, 0, 0, 0, 73236, 0, 0, 0, 0, 0, -101928, 0, 0, 0, 0, 0, 11196, 0, 0, 0, 0, 0, 52212, 0, 0, 0, 0, 0, -3720, 0, 0, 0, 0, 0, 8340, 0, 0, 0, 0, 0, 8964, 0, 0, 0, 0, 0, -10404, 0, 0, 0, 0, 0, -78828, 0, 0, 0, 0, 0, 5640, 0, 0, 0, 0, 0, 75540, 0, 0, 0, 0, 0, 45156, 0, 0, 0, 0, 0, 47928, 0, 0, 0, 0, 0, -57840, 0, 0, 0, 0, 0, -32040, 0, 0, 0, 0, 0, -94452, 0, 0, 0, 0, 0, -124476, 0, 0, 0, 0, 0, 44388, 0, 0, 0, 0, 0, -173004, 0, 0, 0, 0, 0, 30000, 0, 0, 0, 0, 0, -252, 0, 0, 0, 0, 0, 40104, 0, 0, 0, 0, 0, 121080, 0, 0, 0, 0, 0, 23712, 0, 0, 0, 0, 0, 49020, 0, 0, 0, 0, 0, 40932, 0, 0, 0, 0, 0, -124056, 0, 0, 0, 0, 0, 91788, 0, 0, 0, 0, 0, -34668, 0, 0, 0, 0, 0, 28680, 0, 0, 0, 0, 0, -15456, 0, 0, 0, 0, 0, -92976, 0, 0, 0, 0, 0, 29628, 0, 0, 0, 0, 0, 19644, 0, 0, 0, 0, 0, -66960, 0, 0, 0, 0, 0, 147708, 0, 0, 0, 0, 0, 39552, 0, 0, 0, 0, 0, -18552, 0, 0, 0, 0, 0, 47424, 0, 0, 0, 0, 0, -19740, 0, 0, 0, 0, 0, 60504, 0, 0, 0, 0, 0, 78156, 0, 0, 0, 0, 0, 50208, 0, 0, 0, 0, 0, 19488, 0, 0, 0, 0, 0, -14700, 0, 0, 0, 0, 0, -53064, 0, 0, 0, 0, 0, 255852, 0, 0, 0, 0, 0, -282372, 0, 0, 0, 0, 0, -88500, 0, 0, 0, 0, 0, 7200, 0, 0, 0, 0, 0, 87528, 0, 0, 0, 0, 0, -230352, 0, 0, 0, 0, 0, -162084, 0, 0, 0, 0, 0, 165180, 0, 0, 0, 0, 0, 18480, 0, 0, 0, 0, 0, -34644, 0, 0, 0, 0, 0, 15780, 0, 0, 0, 0, 0, 62292, 0, 0, 0, 0, 0, 157380, 0, 0, 0, 0, 0, 59880, 0, 0, 0, 0, 0, 221004, 0, 0, 0, 0, 0, 157836, 0, 0, 0, 0, 0, -3756, 0, 0, 0, 0, 0, 308544, 0, 0, 0, 0, 0, -52200, 0, 0, 0, 0, 0, -111480, 0, 0, 0, 0, 0, -81756, 0, 0, 0, 0, 0, -86304, 0, 0, 0, 0, 0, 138180, 0, 0, 0, 0, 0, -10500, 0, 0, 0, 0, 0, -4440, 0, 0, 0, 0, 0, 140628, 0, 0, 0, 0, 0, 82656, 0, 0, 0, 0, 0, 177204, 0, 0, 0, 0, 0, -23640, 0, 0, 0, 0, 0, 87396, 0, 0, 0, 0, 0, 41748, 0, 0, 0, 0, 0, -64428, 0, 0, 0, 0, 0, -38808, 0, 0, 0, 0, 0, 131400, 0, 0, 0, 0, 0, -504, 0, 0, 0, 0, 0, 126168, 0, 0, 0], 'weight': 4, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 639894
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '1080.4.a.b', 'source_level': 1080, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '1080.4.a.a', 'target_level': 1080, 'twist_class_label': '1080.4.a.a', 'twist_class_level': 1080, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 639895
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '1080.4.a.b', 'source_level': 1080, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '1080.4.a.b', 'target_level': 1080, 'twist_class_label': '1080.4.a.a', 'twist_class_level': 1080, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 639896
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '1080.4.a.b', 'source_level': 1080, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 25, 'target_is_minimal': False, 'target_label': '2160.4.a.y', 'target_level': 2160, 'twist_class_label': '1080.4.a.a', 'twist_class_level': 1080, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 639897
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '1080.4.a.b', 'source_level': 1080, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 30, 'target_is_minimal': False, 'target_label': '2160.4.a.bd', 'target_level': 2160, 'twist_class_label': '1080.4.a.a', 'twist_class_level': 1080, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 4}
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mf_hecke_charpolys • Show schema
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id: 1662350
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503599694480440, 'p': 2}
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id: 1662351
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503599694480440, 'p': 3}
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id: 1662352
{'charpoly_factorization': [[[-5, 1], 2]], 'hecke_orbit_code': 4503599694480440, 'p': 5}
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id: 1662353
{'charpoly_factorization': [[[-54, 5, 1], 1]], 'hecke_orbit_code': 4503599694480440, 'p': 7}
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id: 1662354
{'charpoly_factorization': [[[-54, 5, 1], 1]], 'hecke_orbit_code': 4503599694480440, 'p': 11}
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id: 1662355
{'charpoly_factorization': [[[-2025, 24, 1], 1]], 'hecke_orbit_code': 4503599694480440, 'p': 13}
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id: 1662356
{'charpoly_factorization': [[[-2532, 41, 1], 1]], 'hecke_orbit_code': 4503599694480440, 'p': 17}
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id: 1662357
{'charpoly_factorization': [[[-6100, -69, 1], 1]], 'hecke_orbit_code': 4503599694480440, 'p': 19}
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id: 1662358
{'charpoly_factorization': [[[-14862, 101, 1], 1]], 'hecke_orbit_code': 4503599694480440, 'p': 23}
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id: 1662359
{'charpoly_factorization': [[[-7530, 103, 1], 1]], 'hecke_orbit_code': 4503599694480440, 'p': 29}
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id: 1662360
{'charpoly_factorization': [[[-18888, 107, 1], 1]], 'hecke_orbit_code': 4503599694480440, 'p': 31}
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id: 1662361
{'charpoly_factorization': [[[15006, 257, 1], 1]], 'hecke_orbit_code': 4503599694480440, 'p': 37}
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id: 1662362
{'charpoly_factorization': [[[-2544, -118, 1], 1]], 'hecke_orbit_code': 4503599694480440, 'p': 41}
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id: 1662363
{'charpoly_factorization': [[[-33996, 121, 1], 1]], 'hecke_orbit_code': 4503599694480440, 'p': 43}
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id: 1662364
{'charpoly_factorization': [[[-2896, -15, 1], 1]], 'hecke_orbit_code': 4503599694480440, 'p': 47}
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id: 1662365
{'charpoly_factorization': [[[-70536, 566, 1], 1]], 'hecke_orbit_code': 4503599694480440, 'p': 53}
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id: 1662366
{'charpoly_factorization': [[[34992, -528, 1], 1]], 'hecke_orbit_code': 4503599694480440, 'p': 59}
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id: 1662367
{'charpoly_factorization': [[[6150, 175, 1], 1]], 'hecke_orbit_code': 4503599694480440, 'p': 61}
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id: 1662368
{'charpoly_factorization': [[[-310972, 201, 1], 1]], 'hecke_orbit_code': 4503599694480440, 'p': 67}
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id: 1662369
{'charpoly_factorization': [[[-127320, 26, 1], 1]], 'hecke_orbit_code': 4503599694480440, 'p': 71}
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id: 1662370
{'charpoly_factorization': [[[-163038, 923, 1], 1]], 'hecke_orbit_code': 4503599694480440, 'p': 73}
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id: 1662371
{'charpoly_factorization': [[[-18881, 376, 1], 1]], 'hecke_orbit_code': 4503599694480440, 'p': 79}
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id: 1662372
{'charpoly_factorization': [[[253692, -1152, 1], 1]], 'hecke_orbit_code': 4503599694480440, 'p': 83}
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id: 1662373
{'charpoly_factorization': [[[-1044320, -148, 1], 1]], 'hecke_orbit_code': 4503599694480440, 'p': 89}
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id: 1662374
{'charpoly_factorization': [[[164062, 1343, 1], 1]], 'hecke_orbit_code': 4503599694480440, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 2, 'label': '1080.4.a.b', 'level': 1080, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 18872508
{'hecke_orbit_code': 4503599694480440, 'n': 1, 'trace_an': 2}
-
id: 18872509
{'hecke_orbit_code': 4503599694480440, 'n': 2, 'trace_an': 0}
-
id: 18872510
{'hecke_orbit_code': 4503599694480440, 'n': 3, 'trace_an': 0}
-
id: 18872511
{'hecke_orbit_code': 4503599694480440, 'n': 4, 'trace_an': 0}
-
id: 18872512
{'hecke_orbit_code': 4503599694480440, 'n': 5, 'trace_an': 10}
-
id: 18872513
{'hecke_orbit_code': 4503599694480440, 'n': 6, 'trace_an': 0}
-
id: 18872514
{'hecke_orbit_code': 4503599694480440, 'n': 7, 'trace_an': -5}
-
id: 18872515
{'hecke_orbit_code': 4503599694480440, 'n': 8, 'trace_an': 0}
-
id: 18872516
{'hecke_orbit_code': 4503599694480440, 'n': 9, 'trace_an': 0}
-
id: 18872517
{'hecke_orbit_code': 4503599694480440, 'n': 10, 'trace_an': 0}
-
id: 18872518
{'hecke_orbit_code': 4503599694480440, 'n': 11, 'trace_an': -5}
-
id: 18872519
{'hecke_orbit_code': 4503599694480440, 'n': 12, 'trace_an': 0}
-
id: 18872520
{'hecke_orbit_code': 4503599694480440, 'n': 13, 'trace_an': -24}
-
id: 18872521
{'hecke_orbit_code': 4503599694480440, 'n': 14, 'trace_an': 0}
-
id: 18872522
{'hecke_orbit_code': 4503599694480440, 'n': 15, 'trace_an': 0}
-
id: 18872523
{'hecke_orbit_code': 4503599694480440, 'n': 16, 'trace_an': 0}
-
id: 18872524
{'hecke_orbit_code': 4503599694480440, 'n': 17, 'trace_an': -41}
-
id: 18872525
{'hecke_orbit_code': 4503599694480440, 'n': 18, 'trace_an': 0}
-
id: 18872526
{'hecke_orbit_code': 4503599694480440, 'n': 19, 'trace_an': 69}
-
id: 18872527
{'hecke_orbit_code': 4503599694480440, 'n': 20, 'trace_an': 0}
-
id: 18872528
{'hecke_orbit_code': 4503599694480440, 'n': 21, 'trace_an': 0}
-
id: 18872529
{'hecke_orbit_code': 4503599694480440, 'n': 22, 'trace_an': 0}
-
id: 18872530
{'hecke_orbit_code': 4503599694480440, 'n': 23, 'trace_an': -101}
-
id: 18872531
{'hecke_orbit_code': 4503599694480440, 'n': 24, 'trace_an': 0}
-
id: 18872532
{'hecke_orbit_code': 4503599694480440, 'n': 25, 'trace_an': 50}
-
id: 18872533
{'hecke_orbit_code': 4503599694480440, 'n': 26, 'trace_an': 0}
-
id: 18872534
{'hecke_orbit_code': 4503599694480440, 'n': 27, 'trace_an': 0}
-
id: 18872535
{'hecke_orbit_code': 4503599694480440, 'n': 28, 'trace_an': 0}
-
id: 18872536
{'hecke_orbit_code': 4503599694480440, 'n': 29, 'trace_an': -103}
-
id: 18872537
{'hecke_orbit_code': 4503599694480440, 'n': 30, 'trace_an': 0}
-
id: 18872538
{'hecke_orbit_code': 4503599694480440, 'n': 31, 'trace_an': -107}
-
id: 18872539
{'hecke_orbit_code': 4503599694480440, 'n': 32, 'trace_an': 0}
-
id: 18872540
{'hecke_orbit_code': 4503599694480440, 'n': 33, 'trace_an': 0}
-
id: 18872541
{'hecke_orbit_code': 4503599694480440, 'n': 34, 'trace_an': 0}
-
id: 18872542
{'hecke_orbit_code': 4503599694480440, 'n': 35, 'trace_an': -25}
-
id: 18872543
{'hecke_orbit_code': 4503599694480440, 'n': 36, 'trace_an': 0}
-
id: 18872544
{'hecke_orbit_code': 4503599694480440, 'n': 37, 'trace_an': -257}
-
id: 18872545
{'hecke_orbit_code': 4503599694480440, 'n': 38, 'trace_an': 0}
-
id: 18872546
{'hecke_orbit_code': 4503599694480440, 'n': 39, 'trace_an': 0}
-
id: 18872547
{'hecke_orbit_code': 4503599694480440, 'n': 40, 'trace_an': 0}
-
id: 18872548
{'hecke_orbit_code': 4503599694480440, 'n': 41, 'trace_an': 118}
-
id: 18872549
{'hecke_orbit_code': 4503599694480440, 'n': 42, 'trace_an': 0}
-
id: 18872550
{'hecke_orbit_code': 4503599694480440, 'n': 43, 'trace_an': -121}
-
id: 18872551
{'hecke_orbit_code': 4503599694480440, 'n': 44, 'trace_an': 0}
-
id: 18872552
{'hecke_orbit_code': 4503599694480440, 'n': 45, 'trace_an': 0}
-
id: 18872553
{'hecke_orbit_code': 4503599694480440, 'n': 46, 'trace_an': 0}
-
id: 18872554
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id: 18872752
{'hecke_orbit_code': 4503599694480440, 'n': 911, 'trace_an': -60800}
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id: 18872753
{'hecke_orbit_code': 4503599694480440, 'n': 919, 'trace_an': 12591}
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id: 18872754
{'hecke_orbit_code': 4503599694480440, 'n': 929, 'trace_an': 81858}
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id: 18872755
{'hecke_orbit_code': 4503599694480440, 'n': 937, 'trace_an': 7199}
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id: 18872756
{'hecke_orbit_code': 4503599694480440, 'n': 941, 'trace_an': -8799}
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id: 18872757
{'hecke_orbit_code': 4503599694480440, 'n': 947, 'trace_an': -33530}
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id: 18872758
{'hecke_orbit_code': 4503599694480440, 'n': 953, 'trace_an': 72749}
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id: 18872759
{'hecke_orbit_code': 4503599694480440, 'n': 961, 'trace_an': -10357}
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id: 18872760
{'hecke_orbit_code': 4503599694480440, 'n': 967, 'trace_an': -36535}
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id: 18872761
{'hecke_orbit_code': 4503599694480440, 'n': 971, 'trace_an': -10355}
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id: 18872762
{'hecke_orbit_code': 4503599694480440, 'n': 977, 'trace_an': 20457}
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id: 18872763
{'hecke_orbit_code': 4503599694480440, 'n': 983, 'trace_an': 37459}
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id: 18872764
{'hecke_orbit_code': 4503599694480440, 'n': 991, 'trace_an': -9420}
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id: 18872765
{'hecke_orbit_code': 4503599694480440, 'n': 997, 'trace_an': -9579}