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{'Nk2': 28224, 'analytic_conductor': 137.76179623849768, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [7, 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': [441, 1, [344, 199], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 4, 'field_disc': 328071732, 'field_disc_factorization': [[2, 2], [3, 1], [4721, 1], [5791, 1]], 'field_poly': [900, 240, -102, -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': [[2, [9312, 1704, -412, -6, 1]], [5, [11594625, -19632900, -90490, 252, 1]], [13, [1618193586130576, 32623185504, -99442952, 1176, 1]]], 'hecke_orbit': 19, 'hecke_orbit_code': 81064793426887097, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 112, 'hecke_ring_index_factorization': [[2, 4], [7, 1]], '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': '441.8.a.s', 'level': 441, '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, 7], 'level_radical': 21, 'minimal_twist': '7.8.c.a', 'prim_orbit_index': 1, 'qexp_display': 'q+(1-\\beta _{1})q^{2}+(86-\\beta _{1}+\\beta _{2}-\\beta _{3})q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '7.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '441.8.a', 'trace_display': [6, 0, -252, 0], 'trace_hash': 1186390374520131560, 'trace_moments': [{'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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1791309074], [-634090878658, 16153335016, 5945243694, -6459218819]], 'char_orbit_index': 1, 'field_poly': [900, 240, -102, -1, 1], 'hecke_orbit_code': 81064793426887097, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 15, 15, 15], 'hecke_ring_inverse_denominators': [1, 28, 2, 14], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [10, 5, -1, 1], [100, -4, 1, 0], [-1250, 362, -29, 36]], 'hecke_ring_numerators': [[1, 0, 0, 0], [165, -72, -1, 1], [-840, -288, 26, 4], [-1815, 492, 31, -1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '441.8.a.s', 'level': 441, 'maxp': 2999, 'weight': 8}
-
mf_newspaces • Show schema
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{'ALdims': [25, 23, 33, 36], 'ALdims_eis_new': [0, 0, 2, 3], 'ALdims_eis_old': [8, 8, 6, 5], 'ALdims_old': [71, 69, 59, 60], 'Nk2': 28224, 'analytic_conductor': 137.76179623849768, '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': [441, 1, [344, 199], [1, 1]], 'conrey_index': 1, 'cusp_dim': 376, 'dim': 117, 'eis_dim': 32, 'eis_new_dim': 5, 'hecke_cutter_primes': [2, 5, 13], 'hecke_orbit_code': 134218169, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 8, 8, 8, 16], 'label': '441.8.a', 'level': 441, '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, 7], 'level_radical': 21, 'mf_dim': 408, 'mf_new_dim': 122, 'num_forms': 30, 'plus_dim': 61, 'prim_orbit_index': 1, 'relative_dim': 117, 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mf_twists_nf • Show schema
Hide schema
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id: 324502
{'conductor': 21, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 19, 'source_is_minimal': False, 'source_label': '441.8.a.s', 'source_level': 441, 'target_char_orbit': 3, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '7.8.c.a', 'target_level': 7, 'twist_class_label': '7.8.c.a', 'twist_class_level': 7, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 8}
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id: 324503
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 19, 'source_is_minimal': False, 'source_label': '441.8.a.s', 'source_level': 441, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '49.8.a.e', 'target_level': 49, 'twist_class_label': '7.8.c.a', 'twist_class_level': 7, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 8}
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id: 324504
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 19, 'source_is_minimal': False, 'source_label': '441.8.a.s', 'source_level': 441, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '49.8.a.f', 'target_level': 49, 'twist_class_label': '7.8.c.a', 'twist_class_level': 7, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 8}
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id: 324505
{'conductor': 21, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 19, 'source_is_minimal': False, 'source_label': '441.8.a.s', 'source_level': 441, 'target_char_orbit': 3, 'target_dim': 8, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '49.8.c.g', 'target_level': 49, 'twist_class_label': '7.8.c.a', 'twist_class_level': 7, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 8}
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id: 324506
{'conductor': 7, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 19, 'source_is_minimal': False, 'source_label': '441.8.a.s', 'source_level': 441, 'target_char_orbit': 5, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '63.8.e.b', 'target_level': 63, 'twist_class_label': '7.8.c.a', 'twist_class_level': 7, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 8}
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id: 324507
{'conductor': 84, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 19, 'source_is_minimal': False, 'source_label': '441.8.a.s', 'source_level': 441, 'target_char_orbit': 9, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '112.8.i.c', 'target_level': 112, 'twist_class_label': '7.8.c.a', 'twist_class_level': 7, 'twisting_char_label': '84.n', 'twisting_char_orbit': 14, 'weight': 8}
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id: 324508
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 19, 'source_is_minimal': False, 'source_label': '441.8.a.s', 'source_level': 441, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '441.8.a.s', 'target_level': 441, 'twist_class_label': '7.8.c.a', 'twist_class_level': 7, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 8}
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id: 324509
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 19, 'source_is_minimal': False, 'source_label': '441.8.a.s', 'source_level': 441, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '441.8.a.t', 'target_level': 441, 'twist_class_label': '7.8.c.a', 'twist_class_level': 7, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 8}
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mf_hecke_charpolys • Show schema
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id: 896275
{'charpoly_factorization': [[[9312, 1704, -412, -6, 1], 1]], 'hecke_orbit_code': 81064793426887097, 'p': 2}
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id: 896276
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 81064793426887097, 'p': 3}
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id: 896277
{'charpoly_factorization': [[[11594625, -19632900, -90490, 252, 1], 1]], 'hecke_orbit_code': 81064793426887097, 'p': 5}
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id: 896278
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 81064793426887097, 'p': 7}
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id: 896279
{'charpoly_factorization': [[[7298108160225, 19048929420, -17626474, -3972, 1], 1]], 'hecke_orbit_code': 81064793426887097, 'p': 11}
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id: 896280
{'charpoly_factorization': [[[1618193586130576, 32623185504, -99442952, 1176, 1], 1]], 'hecke_orbit_code': 81064793426887097, 'p': 13}
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id: 896281
{'charpoly_factorization': [[[-11987799041265327, 2517999385356, 826416246, 56364, 1], 1]], 'hecke_orbit_code': 81064793426887097, 'p': 17}
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id: 896282
{'charpoly_factorization': [[[-5255379700682447, 4537933510236, 169371334, -41748, 1], 1]], 'hecke_orbit_code': 81064793426887097, 'p': 19}
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id: 896283
{'charpoly_factorization': [[[-7710225539048622063, -269621255982348, 1993327302, 131748, 1], 1]], 'hecke_orbit_code': 81064793426887097, 'p': 23}
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id: 896284
{'charpoly_factorization': [[[-59240144438831257200, -2728285181737440, -31564781896, 34056, 1], 1]], 'hecke_orbit_code': 81064793426887097, 'p': 29}
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id: 896285
{'charpoly_factorization': [[[-43579897151286178431, 1179859065557844, 29924701462, -401212, 1], 1]], 'hecke_orbit_code': 81064793426887097, 'p': 31}
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id: 896286
{'charpoly_factorization': [[[38867498284951612593, 289108379636724, -16600065194, 5396, 1], 1]], 'hecke_orbit_code': 81064793426887097, 'p': 37}
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id: 896287
{'charpoly_factorization': [[[-579107353833539622000, 24134022822305760, -264885435976, 410424, 1], 1]], 'hecke_orbit_code': 81064793426887097, 'p': 41}
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id: 896288
{'charpoly_factorization': [[[32432472731311268352256, 25567670297737984, -467061159072, -46544, 1], 1]], 'hecke_orbit_code': 81064793426887097, 'p': 43}
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id: 896289
{'charpoly_factorization': [[[-33846309201490825701375, -262371946788807660, 196061638422, 1470084, 1], 1]], 'hecke_orbit_code': 81064793426887097, 'p': 47}
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id: 896290
{'charpoly_factorization': [[[439814158239955754491713, 116975571193227708, -1688626794426, -642372, 1], 1]], 'hecke_orbit_code': 81064793426887097, 'p': 53}
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id: 896291
{'charpoly_factorization': [[[1630010241563829386447025, -4536828253633917780, -5402571979002, 752220, 1], 1]], 'hecke_orbit_code': 81064793426887097, 'p': 59}
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id: 896292
{'charpoly_factorization': [[[-5679726934410449526180911, 13995112074150762324, -8155072395338, -1325772, 1], 1]], 'hecke_orbit_code': 81064793426887097, 'p': 61}
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id: 896293
{'charpoly_factorization': [[[199385018414632960630225, -8078239074267295020, -13214880044378, 290916, 1], 1]], 'hecke_orbit_code': 81064793426887097, 'p': 67}
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id: 896294
{'charpoly_factorization': [[[-23151536296703722783309824, -52296405056513879040, -14924852523648, 3377760, 1], 1]], 'hecke_orbit_code': 81064793426887097, 'p': 71}
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id: 896295
{'charpoly_factorization': [[[8977134284298023981983713, 19840195510120229412, 4870017481894, -6706588, 1], 1]], 'hecke_orbit_code': 81064793426887097, 'p': 73}
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id: 896296
{'charpoly_factorization': [[[-177535951692538625780115023, 146976219010163738668, -26644315712538, -3946244, 1], 1]], 'hecke_orbit_code': 81064793426887097, 'p': 79}
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id: 896297
{'charpoly_factorization': [[[-627046209337365033705216, 4116630428016148224, 14648662355040, 9542064, 1], 1]], 'hecke_orbit_code': 81064793426887097, 'p': 83}
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id: 896298
{'charpoly_factorization': [[[-248668202226929710311889887, -100212202297899096804, 56653391297894, 16165212, 1], 1]], 'hecke_orbit_code': 81064793426887097, 'p': 89}
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id: 896299
{'charpoly_factorization': [[[4251892752415194533014401936, -143060868137015170272, -197742142710728, -1533112, 1], 1]], 'hecke_orbit_code': 81064793426887097, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 19, 'label': '441.8.a.s', 'level': 441, 'portrait': 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'weight': 8}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 63495325
{'hecke_orbit_code': 81064793426887097, 'n': 1, 'trace_an': 4}
-
id: 63495326
{'hecke_orbit_code': 81064793426887097, 'n': 2, 'trace_an': 6}
-
id: 63495327
{'hecke_orbit_code': 81064793426887097, 'n': 3, 'trace_an': 0}
-
id: 63495328
{'hecke_orbit_code': 81064793426887097, 'n': 4, 'trace_an': 348}
-
id: 63495329
{'hecke_orbit_code': 81064793426887097, 'n': 5, 'trace_an': -252}
-
id: 63495330
{'hecke_orbit_code': 81064793426887097, 'n': 6, 'trace_an': 0}
-
id: 63495331
{'hecke_orbit_code': 81064793426887097, 'n': 7, 'trace_an': 0}
-
id: 63495332
{'hecke_orbit_code': 81064793426887097, 'n': 8, 'trace_an': 984}
-
id: 63495333
{'hecke_orbit_code': 81064793426887097, 'n': 9, 'trace_an': 0}
-
id: 63495334
{'hecke_orbit_code': 81064793426887097, 'n': 10, 'trace_an': 4774}
-
id: 63495335
{'hecke_orbit_code': 81064793426887097, 'n': 11, 'trace_an': 3972}
-
id: 63495336
{'hecke_orbit_code': 81064793426887097, 'n': 12, 'trace_an': 0}
-
id: 63495337
{'hecke_orbit_code': 81064793426887097, 'n': 13, 'trace_an': -1176}
-
id: 63495338
{'hecke_orbit_code': 81064793426887097, 'n': 14, 'trace_an': 0}
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id: 63495339
{'hecke_orbit_code': 81064793426887097, 'n': 15, 'trace_an': 0}
-
id: 63495340
{'hecke_orbit_code': 81064793426887097, 'n': 16, 'trace_an': 57264}
-
id: 63495341
{'hecke_orbit_code': 81064793426887097, 'n': 17, 'trace_an': -56364}
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id: 63495342
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id: 63495343
{'hecke_orbit_code': 81064793426887097, 'n': 19, 'trace_an': 41748}
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id: 63495344
{'hecke_orbit_code': 81064793426887097, 'n': 20, 'trace_an': -162372}
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id: 63495345
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id: 63495346
{'hecke_orbit_code': 81064793426887097, 'n': 22, 'trace_an': -152954}
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id: 63495347
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id: 63495348
{'hecke_orbit_code': 81064793426887097, 'n': 24, 'trace_an': 0}
-
id: 63495349
{'hecke_orbit_code': 81064793426887097, 'n': 25, 'trace_an': -68016}
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id: 63495350
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id: 63495351
{'hecke_orbit_code': 81064793426887097, 'n': 27, 'trace_an': 0}
-
id: 63495352
{'hecke_orbit_code': 81064793426887097, 'n': 28, 'trace_an': 0}
-
id: 63495353
{'hecke_orbit_code': 81064793426887097, 'n': 29, 'trace_an': -34056}
-
id: 63495354
{'hecke_orbit_code': 81064793426887097, 'n': 30, 'trace_an': 0}
-
id: 63495355
{'hecke_orbit_code': 81064793426887097, 'n': 31, 'trace_an': 401212}
-
id: 63495356
{'hecke_orbit_code': 81064793426887097, 'n': 32, 'trace_an': 453408}
-
id: 63495357
{'hecke_orbit_code': 81064793426887097, 'n': 33, 'trace_an': 0}
-
id: 63495358
{'hecke_orbit_code': 81064793426887097, 'n': 34, 'trace_an': 82110}
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id: 63495359
{'hecke_orbit_code': 81064793426887097, 'n': 35, 'trace_an': 0}
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id: 63495360
{'hecke_orbit_code': 81064793426887097, 'n': 36, 'trace_an': 0}
-
id: 63495361
{'hecke_orbit_code': 81064793426887097, 'n': 37, 'trace_an': -5396}
-
id: 63495362
{'hecke_orbit_code': 81064793426887097, 'n': 38, 'trace_an': -31794}
-
id: 63495363
{'hecke_orbit_code': 81064793426887097, 'n': 39, 'trace_an': 0}
-
id: 63495364
{'hecke_orbit_code': 81064793426887097, 'n': 40, 'trace_an': -443688}
-
id: 63495365
{'hecke_orbit_code': 81064793426887097, 'n': 41, 'trace_an': -410424}
-
id: 63495366
{'hecke_orbit_code': 81064793426887097, 'n': 42, 'trace_an': 0}
-
id: 63495367
{'hecke_orbit_code': 81064793426887097, 'n': 43, 'trace_an': 46544}
-
id: 63495368
{'hecke_orbit_code': 81064793426887097, 'n': 44, 'trace_an': 1465836}
-
id: 63495369
{'hecke_orbit_code': 81064793426887097, 'n': 45, 'trace_an': 0}
-
id: 63495370
{'hecke_orbit_code': 81064793426887097, 'n': 46, 'trace_an': 1379202}
-
id: 63495371
{'hecke_orbit_code': 81064793426887097, 'n': 47, 'trace_an': -1470084}
-
id: 63495372
{'hecke_orbit_code': 81064793426887097, 'n': 48, 'trace_an': 0}
-
id: 63495373
{'hecke_orbit_code': 81064793426887097, 'n': 49, 'trace_an': 0}
-
id: 63495374
{'hecke_orbit_code': 81064793426887097, 'n': 50, 'trace_an': -1395528}
-
id: 63495375
{'hecke_orbit_code': 81064793426887097, 'n': 51, 'trace_an': 0}
-
id: 63495376
{'hecke_orbit_code': 81064793426887097, 'n': 52, 'trace_an': -5269768}
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id: 63495377
{'hecke_orbit_code': 81064793426887097, 'n': 53, 'trace_an': 642372}
-
id: 63495378
{'hecke_orbit_code': 81064793426887097, 'n': 54, 'trace_an': 0}
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id: 63495379
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id: 63495380
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id: 63495381
{'hecke_orbit_code': 81064793426887097, 'n': 57, 'trace_an': 0}
-
id: 63495382
{'hecke_orbit_code': 81064793426887097, 'n': 58, 'trace_an': -1972220}
-
id: 63495383
{'hecke_orbit_code': 81064793426887097, 'n': 59, 'trace_an': -752220}
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id: 63495384
{'hecke_orbit_code': 81064793426887097, 'n': 60, 'trace_an': 0}
-
id: 63495385
{'hecke_orbit_code': 81064793426887097, 'n': 61, 'trace_an': 1325772}
-
id: 63495386
{'hecke_orbit_code': 81064793426887097, 'n': 62, 'trace_an': 3016314}
-
id: 63495387
{'hecke_orbit_code': 81064793426887097, 'n': 63, 'trace_an': 0}
-
id: 63495388
{'hecke_orbit_code': 81064793426887097, 'n': 64, 'trace_an': -865856}
-
id: 63495389
{'hecke_orbit_code': 81064793426887097, 'n': 65, 'trace_an': 4868808}
-
id: 63495390
{'hecke_orbit_code': 81064793426887097, 'n': 66, 'trace_an': 0}
-
id: 63495391
{'hecke_orbit_code': 81064793426887097, 'n': 67, 'trace_an': -290916}
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id: 63495392
{'hecke_orbit_code': 81064793426887097, 'n': 68, 'trace_an': -2453556}
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id: 63495393
{'hecke_orbit_code': 81064793426887097, 'n': 69, 'trace_an': 0}
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id: 63495394
{'hecke_orbit_code': 81064793426887097, 'n': 70, 'trace_an': 0}
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id: 63495395
{'hecke_orbit_code': 81064793426887097, 'n': 71, 'trace_an': -3377760}
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id: 63495396
{'hecke_orbit_code': 81064793426887097, 'n': 72, 'trace_an': 0}
-
id: 63495397
{'hecke_orbit_code': 81064793426887097, 'n': 73, 'trace_an': 6706588}
-
id: 63495398
{'hecke_orbit_code': 81064793426887097, 'n': 74, 'trace_an': -3616878}
-
id: 63495399
{'hecke_orbit_code': 81064793426887097, 'n': 75, 'trace_an': 0}
-
id: 63495400
{'hecke_orbit_code': 81064793426887097, 'n': 76, 'trace_an': 2923004}
-
id: 63495401
{'hecke_orbit_code': 81064793426887097, 'n': 77, 'trace_an': 0}
-
id: 63495402
{'hecke_orbit_code': 81064793426887097, 'n': 78, 'trace_an': 0}
-
id: 63495403
{'hecke_orbit_code': 81064793426887097, 'n': 79, 'trace_an': 3946244}
-
id: 63495404
{'hecke_orbit_code': 81064793426887097, 'n': 80, 'trace_an': -10695888}
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{'hecke_orbit_code': 81064793426887097, 'n': 983, 'trace_an': -102739773948}
-
id: 63495581
{'hecke_orbit_code': 81064793426887097, 'n': 991, 'trace_an': -40386610372}
-
id: 63495582
{'hecke_orbit_code': 81064793426887097, 'n': 997, 'trace_an': -64212260196}
