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mf_newforms • Show schema
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{'Nk2': 7800, 'analytic_conductor': 15.570828394149675, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 13, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 29, 'char_orbit_label': 'bc', 'char_order': 6, 'char_parity': 1, 'char_values': [1950, 6, [1301, 1327, 301], [6, 6, 5]], 'cm_discs': [], 'conrey_index': 751, 'conrey_indexes': [751, 901], 'dim': 12, 'field_disc': 5047145359773696, 'field_disc_factorization': [[2, 12], [3, 6], [41113, 2]], 'field_poly': [2197, -338, -1196, 190, 104, 154, 98, -134, 8, 34, -8, -2, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [1024, -1536, -384, 1728, 304, -1344, 260, 384, -107, -84, 55, -12, 1]]], 'hecke_orbit': 9, 'hecke_orbit_code': 36030721197868958, 'hecke_ring_generator_nbound': 11, '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, 1, 13, 5, 1, 6, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1950.2.bc.i', 'level': 1950, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 13], 'level_radical': 390, 'minimal_twist': '390.2.x.a', 'prim_orbit_index': 5, 'qexp_display': 'q+(\\beta _{4}+\\beta _{7})q^{2}+\\beta _{6}q^{3}+(1+\\beta _{6})q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '1.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1950.2.bc', 'trace_display': [0, -6, 0, 12], 'trace_hash': 495812180684797807, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.093', 'prec': 17}, {'__RealLiteral__': 0, 'data': '11.212', 'prec': 20}, {'__RealLiteral__': 0, 'data': '5.349', 'prec': 17}, {'__RealLiteral__': 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mf_hecke_cc • Show schema
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-
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{'Nk2': 7800, 'analytic_conductor': 15.570828394149675, 'char_conductor': 13, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 29, 'char_orbit_label': 'bc', 'char_order': 6, 'char_parity': 1, 'char_values': [1950, 6, [1301, 1327, 301], [6, 6, 5]], 'conrey_index': 751, 'cusp_dim': 792, 'dim': 88, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [7], 'hecke_orbit_code': 1924178904990, 'hecke_orbit_dims': [4, 4, 4, 4, 8, 8, 8, 12, 12, 12, 12], 'label': '1950.2.bc', 'level': 1950, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 13], 'level_radical': 390, 'mf_dim': 888, 'mf_new_dim': 88, 'num_forms': 11, 'prim_orbit_index': 5, 'relative_dim': 44, 'sturm_bound': 840, 'trace_bound': 11, 'trace_display': [0, 0, 0, 0], 'traces': [88, 0, 0, 44, 0, 0, 0, 0, -44, 0, -24, 0, 12, 0, 0, -44, -8, 0, 36, 0, 0, 0, 8, 0, 0, -20, 0, 0, -20, 0, 0, 0, -12, 0, 0, 44, -12, 0, 16, 0, 12, -4, 8, 0, 0, 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-32, 0, 0, 288, -276, 0, 0, -152, -120, 256, -60, 0, 240, 28, 164, 0, 0, 204, 0, 4, 340, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 46759573
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 751, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 36030721197868958, 'source_is_minimal': False, 'source_label': '1950.2.bc.i.751.4', 'source_level': 1950, 'target_conrey_index': 751, 'target_dim': 12, 'target_embedding_index': 4, 'target_hecke_orbit_code': 36030721197868958, 'target_is_minimal': False, 'target_label': '1950.2.bc.i.751.4', 'target_level': 1950, 'twist_class_label': '390.2.x.a.49.4', 'twist_class_level': 390, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 46759574
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 751, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 36030721197868958, 'source_is_minimal': False, 'source_label': '1950.2.bc.i.751.4', 'source_level': 1950, 'target_conrey_index': 49, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4505180208890246, 'target_is_minimal': True, 'target_label': '390.2.x.b.49.3', 'target_level': 390, 'twist_class_label': '390.2.x.a.49.4', 'twist_class_level': 390, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46759575
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 751, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 36030721197868958, 'source_is_minimal': False, 'source_label': '1950.2.bc.i.751.4', 'source_level': 1950, 'target_conrey_index': 49, 'target_dim': 12, 'target_embedding_index': 4, 'target_hecke_orbit_code': 1580581519750, 'target_is_minimal': True, 'target_label': '390.2.x.a.49.4', 'target_level': 390, 'twist_class_label': '390.2.x.a.49.4', 'twist_class_level': 390, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46759576
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 751, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 36030721197868958, 'source_is_minimal': False, 'source_label': '1950.2.bc.i.751.4', 'source_level': 1950, 'target_conrey_index': 751, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 40534320825239454, 'target_is_minimal': False, 'target_label': '1950.2.bc.j.751.3', 'target_level': 1950, 'twist_class_label': '390.2.x.a.49.4', 'twist_class_level': 390, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 46759577
{'conductor': 13, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 751, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 36030721197868958, 'source_is_minimal': False, 'source_label': '1950.2.bc.i.751.4', 'source_level': 1950, 'target_conrey_index': 901, 'target_dim': 12, 'target_embedding_index': 4, 'target_hecke_orbit_code': 36030721197868958, 'target_is_minimal': False, 'target_label': '1950.2.bc.i.901.4', 'target_level': 1950, 'twist_class_label': '390.2.x.a.49.4', 'twist_class_level': 390, 'twisting_char_label': '13.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 46759578
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 751, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 36030721197868958, 'source_is_minimal': False, 'source_label': '1950.2.bc.i.751.4', 'source_level': 1950, 'target_conrey_index': 829, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9009604469982354, 'target_is_minimal': False, 'target_label': '1170.2.bj.c.829.3', 'target_level': 1170, 'twist_class_label': '390.2.x.a.49.4', 'twist_class_level': 390, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46759579
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 751, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 36030721197868958, 'source_is_minimal': False, 'source_label': '1950.2.bc.i.751.4', 'source_level': 1950, 'target_conrey_index': 829, 'target_dim': 12, 'target_embedding_index': 4, 'target_hecke_orbit_code': 13513204097352850, 'target_is_minimal': False, 'target_label': '1170.2.bj.d.829.4', 'target_level': 1170, 'twist_class_label': '390.2.x.a.49.4', 'twist_class_level': 390, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 46759580
{'conductor': 65, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 751, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 36030721197868958, 'source_is_minimal': False, 'source_label': '1950.2.bc.i.751.4', 'source_level': 1950, 'target_conrey_index': 901, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 40534320825239454, 'target_is_minimal': False, 'target_label': '1950.2.bc.j.901.3', 'target_level': 1950, 'twist_class_label': '390.2.x.a.49.4', 'twist_class_level': 390, 'twisting_char_label': '65.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 46759581
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 751, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 36030721197868958, 'source_is_minimal': False, 'source_label': '1950.2.bc.i.751.4', 'source_level': 1950, 'target_conrey_index': 199, 'target_dim': 12, 'target_embedding_index': 4, 'target_hecke_orbit_code': 1580581519750, 'target_is_minimal': True, 'target_label': '390.2.x.a.199.4', 'target_level': 390, 'twist_class_label': '390.2.x.a.49.4', 'twist_class_level': 390, 'twisting_char_label': '65.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 46759582
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 751, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 36030721197868958, 'source_is_minimal': False, 'source_label': '1950.2.bc.i.751.4', 'source_level': 1950, 'target_conrey_index': 199, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4505180208890246, 'target_is_minimal': True, 'target_label': '390.2.x.b.199.3', 'target_level': 390, 'twist_class_label': '390.2.x.a.49.4', 'twist_class_level': 390, 'twisting_char_label': '65.43', 'twisting_conrey_index': 43, 'weight': 2}
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id: 46759583
{'conductor': 195, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 751, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 36030721197868958, 'source_is_minimal': False, 'source_label': '1950.2.bc.i.751.4', 'source_level': 1950, 'target_conrey_index': 199, 'target_dim': 12, 'target_embedding_index': 4, 'target_hecke_orbit_code': 13513204097352850, 'target_is_minimal': False, 'target_label': '1170.2.bj.d.199.4', 'target_level': 1170, 'twist_class_label': '390.2.x.a.49.4', 'twist_class_level': 390, 'twisting_char_label': '195.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 46759584
{'conductor': 195, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 751, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 36030721197868958, 'source_is_minimal': False, 'source_label': '1950.2.bc.i.751.4', 'source_level': 1950, 'target_conrey_index': 199, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9009604469982354, 'target_is_minimal': False, 'target_label': '1170.2.bj.c.199.3', 'target_level': 1170, 'twist_class_label': '390.2.x.a.49.4', 'twist_class_level': 390, 'twisting_char_label': '195.173', 'twisting_conrey_index': 173, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2326400
{'charpoly_factorization': [[[1, 0, -1, 0, 1], 3]], 'hecke_orbit_code': 36030721197868958, 'p': 2}
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id: 2326401
{'charpoly_factorization': [[[1, 1, 1], 6]], 'hecke_orbit_code': 36030721197868958, 'p': 3}
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id: 2326402
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 36030721197868958, 'p': 5}
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id: 2326403
{'charpoly_factorization': [[[1024, -1536, -384, 1728, 304, -1344, 260, 384, -107, -84, 55, -12, 1], 1]], 'hecke_orbit_code': 36030721197868958, 'p': 7}
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id: 2326404
{'charpoly_factorization': [[[16, -96, -4, 1176, 2585, 1446, -330, -444, 87, 84, -2, -6, 1], 1]], 'hecke_orbit_code': 36030721197868958, 'p': 11}
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id: 2326405
{'charpoly_factorization': [[[4826809, 1485172, 114244, -96668, -14872, 3796, 3158, 292, -88, -44, 4, 4, 1], 1]], 'hecke_orbit_code': 36030721197868958, 'p': 13}
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id: 2326406
{'charpoly_factorization': [[[65536, 294912, 1236992, 532480, 418560, -4608, 65120, 4200, 2857, 216, 99, 8, 1], 1]], 'hecke_orbit_code': 36030721197868958, 'p': 17}
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id: 2326407
{'charpoly_factorization': [[[1982464, 3649536, 837120, -2581632, 672400, 254496, -43876, -14568, 2701, 390, -53, -6, 1], 1]], 'hecke_orbit_code': 36030721197868958, 'p': 19}
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id: 2326408
{'charpoly_factorization': [[[190660864, 224241920, 172604800, 80341248, 28009456, 6746432, 1289208, 178436, 22441, 2216, 239, 16, 1], 1]], 'hecke_orbit_code': 36030721197868958, 'p': 23}
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id: 2326409
{'charpoly_factorization': [[[21904, 490768, 11075036, -1644412, 1737745, 196610, 148926, 15668, 6703, 960, 190, 14, 1], 1]], 'hecke_orbit_code': 36030721197868958, 'p': 29}
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id: 2326410
{'charpoly_factorization': [[[177209344, 0, 93061120, 0, 11339776, 0, 592640, 0, 15433, 0, 198, 0, 1], 1]], 'hecke_orbit_code': 36030721197868958, 'p': 31}
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id: 2326411
{'charpoly_factorization': [[[227195329, -40425786, -57939511, 10736046, 14403470, 1494750, -436611, -54558, 12366, 786, -119, -6, 1], 1]], 'hecke_orbit_code': 36030721197868958, 'p': 37}
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id: 2326412
{'charpoly_factorization': [[[65536, -491520, 1269760, -307200, -300288, 85248, 75744, 4632, -2695, -234, 95, 18, 1], 1]], 'hecke_orbit_code': 36030721197868958, 'p': 41}
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id: 2326413
{'charpoly_factorization': [[[349241344, 232030208, 147504128, 31779328, 10392592, 1490704, 471468, 51412, 10933, 834, 163, 10, 1], 1]], 'hecke_orbit_code': 36030721197868958, 'p': 43}
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id: 2326414
{'charpoly_factorization': [[[35473936, 0, 56551000, 0, 11155593, 0, 749388, 0, 21518, 0, 260, 0, 1], 1]], 'hecke_orbit_code': 36030721197868958, 'p': 47}
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id: 2326415
{'charpoly_factorization': [[[49732, 46148, 11461, -236, -254, 0, 1], 2]], 'hecke_orbit_code': 36030721197868958, 'p': 53}
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id: 2326416
{'charpoly_factorization': [[[4983230464, 752228352, -820266240, -129534336, 157498704, -37281744, 3235868, 77796, -26427, -972, 459, -36, 1], 1]], 'hecke_orbit_code': 36030721197868958, 'p': 59}
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id: 2326417
{'charpoly_factorization': [[[89718784, -41828352, 26851328, -7106048, 3388992, -835296, 256760, -39396, 7561, -762, 135, -10, 1], 1]], 'hecke_orbit_code': 36030721197868958, 'p': 61}
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id: 2326418
{'charpoly_factorization': [[[83759104, 94887936, 28656640, -8128512, -4144640, 984576, 732224, 81792, -7904, -1440, 132, 24, 1], 1]], 'hecke_orbit_code': 36030721197868958, 'p': 67}
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id: 2326419
{'charpoly_factorization': [[[4194304, 25165824, 56295424, 35782656, -703488, -6873600, 1150080, 505152, 36080, -2640, -172, 12, 1], 1]], 'hecke_orbit_code': 36030721197868958, 'p': 71}
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id: 2326420
{'charpoly_factorization': [[[53143158784, 0, 21478881280, 0, 1156392768, 0, 22687680, 0, 191633, 0, 722, 0, 1], 1]], 'hecke_orbit_code': 36030721197868958, 'p': 73}
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id: 2326421
{'charpoly_factorization': [[[-29312, 12576, 3892, -788, -179, 2, 1], 2]], 'hecke_orbit_code': 36030721197868958, 'p': 79}
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id: 2326422
{'charpoly_factorization': [[[47775744, 0, 2458460160, 0, 254327040, 0, 8225280, 0, 106848, 0, 576, 0, 1], 1]], 'hecke_orbit_code': 36030721197868958, 'p': 83}
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id: 2326423
{'charpoly_factorization': [[[1341001056256, -39576354816, -61874871296, 1837575168, 2363129536, -191431776, -15114712, 1612140, 96433, -7506, -309, 18, 1], 1]], 'hecke_orbit_code': 36030721197868958, 'p': 89}
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id: 2326424
{'charpoly_factorization': [[[415519473664, 326986432512, 64721936384, -16565213184, -647192320, 266677248, 9313152, -2879616, 51888, 9408, -200, -24, 1], 1]], 'hecke_orbit_code': 36030721197868958, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 29, 'hecke_orbit': 9, 'label': '1950.2.bc.i', 'level': 1950, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 202665000
{'hecke_orbit_code': 36030721197868958, 'n': 1, 'trace_an': 12}
-
id: 202665001
{'hecke_orbit_code': 36030721197868958, 'n': 2, 'trace_an': 0}
-
id: 202665002
{'hecke_orbit_code': 36030721197868958, 'n': 3, 'trace_an': -6}
-
id: 202665003
{'hecke_orbit_code': 36030721197868958, 'n': 4, 'trace_an': 6}
-
id: 202665004
{'hecke_orbit_code': 36030721197868958, 'n': 5, 'trace_an': 0}
-
id: 202665005
{'hecke_orbit_code': 36030721197868958, 'n': 6, 'trace_an': 0}
-
id: 202665006
{'hecke_orbit_code': 36030721197868958, 'n': 7, 'trace_an': 12}
-
id: 202665007
{'hecke_orbit_code': 36030721197868958, 'n': 8, 'trace_an': 0}
-
id: 202665008
{'hecke_orbit_code': 36030721197868958, 'n': 9, 'trace_an': -6}
-
id: 202665009
{'hecke_orbit_code': 36030721197868958, 'n': 10, 'trace_an': 0}
-
id: 202665010
{'hecke_orbit_code': 36030721197868958, 'n': 11, 'trace_an': 6}
-
id: 202665011
{'hecke_orbit_code': 36030721197868958, 'n': 12, 'trace_an': -12}
-
id: 202665012
{'hecke_orbit_code': 36030721197868958, 'n': 13, 'trace_an': -4}
-
id: 202665013
{'hecke_orbit_code': 36030721197868958, 'n': 14, 'trace_an': -4}
-
id: 202665014
{'hecke_orbit_code': 36030721197868958, 'n': 15, 'trace_an': 0}
-
id: 202665015
{'hecke_orbit_code': 36030721197868958, 'n': 16, 'trace_an': -6}
-
id: 202665016
{'hecke_orbit_code': 36030721197868958, 'n': 17, 'trace_an': -8}
-
id: 202665017
{'hecke_orbit_code': 36030721197868958, 'n': 18, 'trace_an': 0}
-
id: 202665018
{'hecke_orbit_code': 36030721197868958, 'n': 19, 'trace_an': 6}
-
id: 202665019
{'hecke_orbit_code': 36030721197868958, 'n': 20, 'trace_an': 0}
-
id: 202665020
{'hecke_orbit_code': 36030721197868958, 'n': 21, 'trace_an': 0}
-
id: 202665021
{'hecke_orbit_code': 36030721197868958, 'n': 22, 'trace_an': 6}
-
id: 202665022
{'hecke_orbit_code': 36030721197868958, 'n': 23, 'trace_an': -16}
-
id: 202665023
{'hecke_orbit_code': 36030721197868958, 'n': 24, 'trace_an': 0}
-
id: 202665024
{'hecke_orbit_code': 36030721197868958, 'n': 25, 'trace_an': 0}
-
id: 202665025
{'hecke_orbit_code': 36030721197868958, 'n': 26, 'trace_an': -2}
-
id: 202665026
{'hecke_orbit_code': 36030721197868958, 'n': 27, 'trace_an': 12}
-
id: 202665027
{'hecke_orbit_code': 36030721197868958, 'n': 28, 'trace_an': 12}
-
id: 202665028
{'hecke_orbit_code': 36030721197868958, 'n': 29, 'trace_an': -14}
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