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mf_newforms • Show schema
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{'Nk2': 1764, 'analytic_conductor': 7.858807170836051, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[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': [49, 1, [3], [1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 156, 'field_disc_factorization': [[2, 2], [3, 1], [13, 1]], 'field_poly': [-39, 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, [2, 1]], [3, [-624, 0, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007199355404337, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 2, -1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '49.6.a.c', 'level': 49, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [7], 'level_radical': 7, 'minimal_twist': '49.6.a.c', 'nf_label': '2.2.156.1', 'prim_orbit_index': 1, 'qexp_display': 'q-2q^{2}+\\beta q^{3}-28q^{4}+3\\beta q^{5}-2\\beta q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '5.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '49.6.a', 'trace_display': [-4, 0, 0, 0], 'trace_hash': 1632942861717787175, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.069', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.921', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.279', 'prec': 17}, {'__RealLiteral__': 0, 'data': '15.045', 'prec': 20}, {'__RealLiteral__': 0, 'data': '1.665', 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [-2, 0], [0, 1], [-28, 0], [0, 3], [0, -2], [0, 0], [120, 0], [381, 0], [0, -6], [-284, 0], [0, -28], [0, 21], [0, 0], [1872, 0], [656, 0], [0, -6], [-762, 0], [0, 87], [0, -84], [0, 0], [568, 0], [1496, 0], [0, 120], [2491, 0], [0, -42], [0, 138], [0, 0], [-4366, 0], [-3744, 0], [0, -258], [-5152, 0], [0, -284], [0, 12], [0, 0], [-10668, 0], [-12630, 0], [0, -174], [13104, 0], [0, 360], [0, -378], [0, 0], [-1356, 0], [7952, 0], [0, 1143], [-2992, 0], [0, 402], [0, 656], [0, 0], [-4982, 0], [-3744, 0], [0, -588], [14150, 0], [0, -276], [0, -852], [0, 0], [54288, 0], [8732, 0], [0, -1497], [-52416, 0], [0, -1425], [0, 516], [0, 0], [-10688, 0], [39312, 0], [0, 568], [-3644, 0], [0, 168], [0, 1496], [0, 0], [35632, 0], [45720, 0], [0, 1632], [25260, 0], [0, 2491], [0, -2436], [0, 0], [-26208, 0], [-54616, 0], [0, 1968], [-6471, 0], [0, 756], [0, -21], [0, 0], [-11232, 0], [2712, 0], [0, -4366], [-34080, 0], [0, -816], [0, -2286], [0, 0], [-41888, 0], [-160992, 0], [0, -804], [162864, 0], [0, -5152], [0, 7350], [0, 0], [-108204, 0], [-69748, 0]], 'ap': [[-2, 0], [0, 1], [0, 3], [0, 0], [-284, 0], [0, 21], [0, -6], [0, 87], [1496, 0], [-4366, 0], [0, -258], [-12630, 0], [0, -378], [-1356, 0], [0, 402], [14150, 0], [0, -1497], [0, -1425], [-3644, 0], [35632, 0], [0, 1632], [-54616, 0], [0, -21], [0, -816], [0, 7350], [0, 3039], [0, -438], [218188, 0], [-96030, 0], [-137422, 0], [170368, 0], [0, -13941], [-75562, 0], [0, 3885], [361030, 0], [32280, 0], [0, -5319], [-61364, 0], [0, 15246], [0, 20709], [610564, 0], [0, -17367], [341192, 0], [-616158, 0], [231478, 0], [0, -16218], [776820, 0], [0, 3276], [0, 30171], [0, 1053], [47542, 0], [1088992, 0], [0, -54018], [0, 25221], [0, -77424], [-1117120, 0], [0, 60873], [0, 40848], [1896422, 0], [1319110, 0], [0, 19167], [0, 60123], [0, -47901], [0, -52632], [0, -106194], [-1599922, 0], [-111708, 0], [1593006, 0], [-3336764, 0], [0, -64155], [0, 72444], [920792, 0], [0, 53964], [3137734, 0], [-1831884, 0], [0, -1110], [-548342, 0], [0, -16167], [-4164274, 0], [0, -101730], [0, -92127], [-2799914, 0], [954320, 0], [0, 20790], [0, 239424], [3748204, 0], [99458, 0], [-161814, 0], [0, -179823], [3593816, 0], [0, 82155], [0, -80058], [2171256, 0], [3045548, 0], [-7992252, 0], [0, 379428], [0, 404337], [0, 204954], [0, 140703], [-3475474, 0], [-7857652, 0], [9065374, 0], [0, 232569], [10555942, 0], [7995844, 0], [0, -104460], [0, 176841], [0, -221820], [5086112, 0], [0, 96600], [0, 305112], [3601258, 0], [7229014, 0], [0, -503733], [5983504, 0], [-7740002, 0], [0, 272769], [0, -428826], [13416674, 0], [13857356, 0], [0, -483321], [-5324898, 0], [0, -938823], [18226988, 0], [0, 304587], [314162, 0], [24828522, 0], [0, 688278], [0, -852390], [0, -784725], [14418092, 0], [5575208, 0], [508800, 0], [11046618, 0], [0, -271086], [0, -993006], [0, -652329], [0, -577317], [0, -44079], [-24514550, 0], [0, 1215291], [-25459898, 0], [5952320, 0], [-7858996, 0], [0, 450927], [0, -312438], [0, 602805], [0, 915678], [0, 329409], [4099016, 0], [787778, 0], [0, 693840], [12399060, 0], [0, -670758], [-39654276, 0], [29913760, 0], [19899696, 0], [0, 479034], [0, -247464], [0, -1198665], [-48427892, 0], [22678042, 0], [-3604312, 0], [0, 1164159], [-18195986, 0], [0, -133230], [52542024, 0], [0, 49239]], 'char_orbit_index': 1, 'field_poly': [-39, 0, 1], 'hecke_orbit_code': 9007199355404337, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1], 'hecke_ring_inverse_denominators': [1, 4], 'hecke_ring_inverse_numerators': [[1, 0], [0, 1]], 'hecke_ring_numerators': [[1, 0], [0, 4]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 2, 'label': '49.6.a.c', 'level': 49, 'maxp': 997, 'weight': 6}
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mf_newspaces • Show schema
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{'AL_dims': [[[[7, -1]], 8, 5], [[[7, 1]], 6, 2]], 'ALdims': [6, 8], 'Nk2': 1764, 'analytic_conductor': 7.858807170836051, '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': [49, 1, [3], [1]], 'conrey_index': 1, 'cusp_dim': 20, 'dim': 14, 'eis_dim': 8, 'eis_new_dim': 5, 'hecke_cutter_primes': [2, 3], 'hecke_orbit_code': 100663345, 'hecke_orbit_dims': [1, 1, 2, 2, 2, 2, 4], 'label': '49.6.a', 'level': 49, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [7], 'level_radical': 7, 'mf_dim': 28, 'mf_new_dim': 19, 'num_forms': 7, 'plus_dim': 6, 'prim_orbit_index': 1, 'relative_dim': 14, 'sturm_bound': 28, 'trace_bound': 3, 'trace_display': [0, 20, 74, 0], 'traces': [14, 0, 20, 140, 74, 58, 0, 420, 490, -764, -1120, 2506, 490, 0, 560, 1204, -78, -5740, 3364, 1288, 0, 4004, -5208, -3186, 5138, -3416, 2312, 0, 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mf_twists_nf • Show schema
Hide schema
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id: 40212
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '49.6.a.c', 'source_level': 49, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '49.6.a.c', 'target_level': 49, 'twist_class_label': '49.6.a.c', 'twist_class_level': 49, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 6}
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id: 40213
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '49.6.a.c', 'source_level': 49, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '49.6.a.c', 'target_level': 49, 'twist_class_label': '49.6.a.c', 'twist_class_level': 49, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 6}
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id: 40214
{'conductor': 7, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '49.6.a.c', 'source_level': 49, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '49.6.c.g', 'target_level': 49, 'twist_class_label': '49.6.a.c', 'twist_class_level': 49, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 6}
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id: 40215
{'conductor': 7, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '49.6.a.c', 'source_level': 49, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '49.6.c.g', 'target_level': 49, 'twist_class_label': '49.6.a.c', 'twist_class_level': 49, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 6}
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id: 40216
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '49.6.a.c', 'source_level': 49, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '441.6.a.u', 'target_level': 441, 'twist_class_label': '49.6.a.c', 'twist_class_level': 49, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 6}
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id: 40217
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '49.6.a.c', 'source_level': 49, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '441.6.a.u', 'target_level': 441, 'twist_class_label': '49.6.a.c', 'twist_class_level': 49, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 6}
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id: 40218
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '49.6.a.c', 'source_level': 49, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 26, 'target_is_minimal': False, 'target_label': '784.6.a.z', 'target_level': 784, 'twist_class_label': '49.6.a.c', 'twist_class_level': 49, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 6}
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id: 40219
{'conductor': 28, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '49.6.a.c', 'source_level': 49, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 26, 'target_is_minimal': False, 'target_label': '784.6.a.z', 'target_level': 784, 'twist_class_label': '49.6.a.c', 'twist_class_level': 49, 'twisting_char_label': '28.d', 'twisting_char_orbit': 4, 'weight': 6}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 164025
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 9007199355404337, 'p': 2}
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id: 164026
{'charpoly_factorization': [[[-624, 0, 1], 1]], 'hecke_orbit_code': 9007199355404337, 'p': 3}
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id: 164027
{'charpoly_factorization': [[[-5616, 0, 1], 1]], 'hecke_orbit_code': 9007199355404337, 'p': 5}
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id: 164028
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007199355404337, 'p': 7}
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id: 164029
{'charpoly_factorization': [[[284, 1], 2]], 'hecke_orbit_code': 9007199355404337, 'p': 11}
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id: 164030
{'charpoly_factorization': [[[-275184, 0, 1], 1]], 'hecke_orbit_code': 9007199355404337, 'p': 13}
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id: 164031
{'charpoly_factorization': [[[-22464, 0, 1], 1]], 'hecke_orbit_code': 9007199355404337, 'p': 17}
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id: 164032
{'charpoly_factorization': [[[-4723056, 0, 1], 1]], 'hecke_orbit_code': 9007199355404337, 'p': 19}
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id: 164033
{'charpoly_factorization': [[[-1496, 1], 2]], 'hecke_orbit_code': 9007199355404337, 'p': 23}
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id: 164034
{'charpoly_factorization': [[[4366, 1], 2]], 'hecke_orbit_code': 9007199355404337, 'p': 29}
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id: 164035
{'charpoly_factorization': [[[-41535936, 0, 1], 1]], 'hecke_orbit_code': 9007199355404337, 'p': 31}
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id: 164036
{'charpoly_factorization': [[[12630, 1], 2]], 'hecke_orbit_code': 9007199355404337, 'p': 37}
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id: 164037
{'charpoly_factorization': [[[-89159616, 0, 1], 1]], 'hecke_orbit_code': 9007199355404337, 'p': 41}
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id: 164038
{'charpoly_factorization': [[[1356, 1], 2]], 'hecke_orbit_code': 9007199355404337, 'p': 43}
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id: 164039
{'charpoly_factorization': [[[-100840896, 0, 1], 1]], 'hecke_orbit_code': 9007199355404337, 'p': 47}
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id: 164040
{'charpoly_factorization': [[[-14150, 1], 2]], 'hecke_orbit_code': 9007199355404337, 'p': 53}
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id: 164041
{'charpoly_factorization': [[[-1398389616, 0, 1], 1]], 'hecke_orbit_code': 9007199355404337, 'p': 59}
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id: 164042
{'charpoly_factorization': [[[-1267110000, 0, 1], 1]], 'hecke_orbit_code': 9007199355404337, 'p': 61}
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id: 164043
{'charpoly_factorization': [[[3644, 1], 2]], 'hecke_orbit_code': 9007199355404337, 'p': 67}
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id: 164044
{'charpoly_factorization': [[[-35632, 1], 2]], 'hecke_orbit_code': 9007199355404337, 'p': 71}
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id: 164045
{'charpoly_factorization': [[[-1661976576, 0, 1], 1]], 'hecke_orbit_code': 9007199355404337, 'p': 73}
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id: 164046
{'charpoly_factorization': [[[54616, 1], 2]], 'hecke_orbit_code': 9007199355404337, 'p': 79}
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id: 164047
{'charpoly_factorization': [[[-275184, 0, 1], 1]], 'hecke_orbit_code': 9007199355404337, 'p': 83}
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id: 164048
{'charpoly_factorization': [[[-415494144, 0, 1], 1]], 'hecke_orbit_code': 9007199355404337, 'p': 89}
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id: 164049
{'charpoly_factorization': [[[-33710040000, 0, 1], 1]], 'hecke_orbit_code': 9007199355404337, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 3, 'label': '49.6.a.c', 'level': 49, 'portrait': 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', 'weight': 6}
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mf_hecke_traces • Show schema
Hide schema
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id: 111785000
{'hecke_orbit_code': 9007199355404337, 'n': 1, 'trace_an': 2}
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id: 111785001
{'hecke_orbit_code': 9007199355404337, 'n': 2, 'trace_an': -4}
-
id: 111785002
{'hecke_orbit_code': 9007199355404337, 'n': 3, 'trace_an': 0}
-
id: 111785003
{'hecke_orbit_code': 9007199355404337, 'n': 4, 'trace_an': -56}
-
id: 111785004
{'hecke_orbit_code': 9007199355404337, 'n': 5, 'trace_an': 0}
-
id: 111785005
{'hecke_orbit_code': 9007199355404337, 'n': 6, 'trace_an': 0}
-
id: 111785006
{'hecke_orbit_code': 9007199355404337, 'n': 7, 'trace_an': 0}
-
id: 111785007
{'hecke_orbit_code': 9007199355404337, 'n': 8, 'trace_an': 240}
-
id: 111785008
{'hecke_orbit_code': 9007199355404337, 'n': 9, 'trace_an': 762}
-
id: 111785009
{'hecke_orbit_code': 9007199355404337, 'n': 10, 'trace_an': 0}
-
id: 111785010
{'hecke_orbit_code': 9007199355404337, 'n': 11, 'trace_an': -568}
-
id: 111785011
{'hecke_orbit_code': 9007199355404337, 'n': 12, 'trace_an': 0}
-
id: 111785012
{'hecke_orbit_code': 9007199355404337, 'n': 13, 'trace_an': 0}
-
id: 111785013
{'hecke_orbit_code': 9007199355404337, 'n': 14, 'trace_an': 0}
-
id: 111785014
{'hecke_orbit_code': 9007199355404337, 'n': 15, 'trace_an': 3744}
-
id: 111785015
{'hecke_orbit_code': 9007199355404337, 'n': 16, 'trace_an': 1312}
-
id: 111785016
{'hecke_orbit_code': 9007199355404337, 'n': 17, 'trace_an': 0}
-
id: 111785017
{'hecke_orbit_code': 9007199355404337, 'n': 18, 'trace_an': -1524}
-
id: 111785018
{'hecke_orbit_code': 9007199355404337, 'n': 19, 'trace_an': 0}
-
id: 111785019
{'hecke_orbit_code': 9007199355404337, 'n': 20, 'trace_an': 0}
-
id: 111785020
{'hecke_orbit_code': 9007199355404337, 'n': 21, 'trace_an': 0}
-
id: 111785021
{'hecke_orbit_code': 9007199355404337, 'n': 22, 'trace_an': 1136}
-
id: 111785022
{'hecke_orbit_code': 9007199355404337, 'n': 23, 'trace_an': 2992}
-
id: 111785023
{'hecke_orbit_code': 9007199355404337, 'n': 24, 'trace_an': 0}
-
id: 111785024
{'hecke_orbit_code': 9007199355404337, 'n': 25, 'trace_an': 4982}
-
id: 111785025
{'hecke_orbit_code': 9007199355404337, 'n': 26, 'trace_an': 0}
-
id: 111785026
{'hecke_orbit_code': 9007199355404337, 'n': 27, 'trace_an': 0}
-
id: 111785027
{'hecke_orbit_code': 9007199355404337, 'n': 28, 'trace_an': 0}
-
id: 111785028
{'hecke_orbit_code': 9007199355404337, 'n': 29, 'trace_an': -8732}
-
id: 111785029
{'hecke_orbit_code': 9007199355404337, 'n': 30, 'trace_an': -7488}
-
id: 111785030
{'hecke_orbit_code': 9007199355404337, 'n': 31, 'trace_an': 0}
-
id: 111785031
{'hecke_orbit_code': 9007199355404337, 'n': 32, 'trace_an': -10304}
-
id: 111785032
{'hecke_orbit_code': 9007199355404337, 'n': 33, 'trace_an': 0}
-
id: 111785033
{'hecke_orbit_code': 9007199355404337, 'n': 34, 'trace_an': 0}
-
id: 111785034
{'hecke_orbit_code': 9007199355404337, 'n': 35, 'trace_an': 0}
-
id: 111785035
{'hecke_orbit_code': 9007199355404337, 'n': 36, 'trace_an': -21336}
-
id: 111785036
{'hecke_orbit_code': 9007199355404337, 'n': 37, 'trace_an': -25260}
-
id: 111785037
{'hecke_orbit_code': 9007199355404337, 'n': 38, 'trace_an': 0}
-
id: 111785038
{'hecke_orbit_code': 9007199355404337, 'n': 39, 'trace_an': 26208}
-
id: 111785039
{'hecke_orbit_code': 9007199355404337, 'n': 40, 'trace_an': 0}
-
id: 111785040
{'hecke_orbit_code': 9007199355404337, 'n': 41, 'trace_an': 0}
-
id: 111785041
{'hecke_orbit_code': 9007199355404337, 'n': 42, 'trace_an': 0}
-
id: 111785042
{'hecke_orbit_code': 9007199355404337, 'n': 43, 'trace_an': -2712}
-
id: 111785043
{'hecke_orbit_code': 9007199355404337, 'n': 44, 'trace_an': 15904}
-
id: 111785044
{'hecke_orbit_code': 9007199355404337, 'n': 45, 'trace_an': 0}
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