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mf_newforms • Show schema
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{'Nk2': 4680, 'analytic_conductor': 9.342497036489805, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 2, 'char_parity': 1, 'char_values': [1170, 2, [911, 937, 1081], [2, 1, 2]], 'cm_discs': [], 'conrey_index': 469, 'conrey_indexes': [469], 'dim': 6, 'field_disc': -350464, 'field_disc_factorization': [[-1, 1], [2, 8], [37, 2]], 'field_poly': [2, -4, 4, 2, 2, -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, [16, 0, 32, 0, 16, 0, 1]], [11, [-2, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31525472303056018, 'hecke_ring_generator_nbound': 7, '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, 5, 2, 1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '1170.2.e.h', 'level': 1170, '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': '1170.2.e.g', 'nf_label': '6.0.350464.1', 'prim_orbit_index': 2, 'qexp_display': 'q+\\beta _{4}q^{2}-q^{4}+(\\beta _{2}-\\beta _{5})q^{5}+(-\\beta _{1}+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1170.2.e', 'trace_display': [0, 0, 0, 0], 'trace_hash': 618117981765376931, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.483', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '168.670', 'prec': 24}, 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mf_hecke_nf • Show schema
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[-11, 0, -19, 2, 0, 2], [0, 14, 0, 2, -8, -2], [0, -6, 0, 16, -22, -16], [0, 0, 0, 0, -62, 0], [28, 0, 26, 5, 0, 5]], 'char_orbit_index': 5, 'field_poly': [2, -4, 4, 2, 2, -2, 1], 'hecke_orbit_code': 31525472303056018, 'hecke_ring_character_values': [[911, [1, 0, 0, 0, 0, 0]], [937, [-1, 0, 0, 0, 0, 0]], [1081, [1, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 23, 23, 23, 23, 23], 'hecke_ring_inverse_denominators': [1, 2, 2, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0], [1, 1, 1, 0, 1, 0], [0, 2, 0, -1, 4, 1], [-2, 2, -2, 0, 2, 1], [-7, 0, -5, 2, 0, 2], [-9, -8, -8, 5, -9, 0]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0], [-1, 6, -26, 11, 1, -3], [-9, 8, -4, -16, 9, -4], [2, 80, 6, 1, -2, 6], [-13, 32, 30, 5, -10, 7], [56, -60, -16, -41, 36, -16]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 6, 'label': '1170.2.e.h', 'level': 1170, 'maxp': 1999, 'weight': 2}
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{'Nk2': 4680, 'analytic_conductor': 9.342497036489805, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 2, 'char_parity': 1, 'char_values': [1170, 2, [911, 937, 1081], [2, 1, 2]], 'conrey_index': 469, 'cusp_dim': 236, 'dim': 30, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11], 'hecke_orbit_code': 274911462546, 'hecke_orbit_dims': [2, 2, 2, 2, 4, 6, 6, 6], 'label': '1170.2.e', 'level': 1170, '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': 268, 'mf_new_dim': 30, 'num_forms': 8, 'prim_orbit_index': 2, 'relative_dim': 30, 'sturm_bound': 504, 'trace_bound': 11, 'trace_display': [0, 0, -8, 0], 'traces': [30, 0, 0, -30, -8, 0, 0, 0, 0, 4, 4, 0, 0, -4, 0, 30, 0, 0, -4, 8, 0, 0, 0, 0, -8, -6, 0, 0, -4, 0, 8, 0, 0, -8, 30, 0, 0, 0, 0, -4, -20, 0, 0, -4, 0, -20, 0, 0, -18, 16, 0, 0, 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0, 0, -180, 0, -80, 0, 0, -132, -164, 0, 0, 0, 0, 62, -16, 0, 0, -84, 0, 100, 0, 0, -824, 280, 0, 0, 0, 0, -116, -52, 0, 0, 100, 0, -224, 0, 0, -8, 200, 0, 0, 0, 0, -248, -168, 0, 0, 84, 0, -100, 0, 0, 192, -20], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 663486
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 8, 'source_is_minimal': True, 'source_label': '1170.2.e.h', 'source_level': 1170, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 7, 'target_is_minimal': True, 'target_label': '1170.2.e.g', 'target_level': 1170, 'twist_class_label': '1170.2.e.g', 'twist_class_level': 1170, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 663487
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 8, 'source_is_minimal': True, 'source_label': '1170.2.e.h', 'source_level': 1170, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 7, 'target_is_minimal': True, 'target_label': '1170.2.e.g', 'target_level': 1170, 'twist_class_label': '1170.2.e.g', 'twist_class_level': 1170, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 663488
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 8, 'source_is_minimal': True, 'source_label': '1170.2.e.h', 'source_level': 1170, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 8, 'target_is_minimal': True, 'target_label': '1170.2.e.h', 'target_level': 1170, 'twist_class_label': '1170.2.e.g', 'twist_class_level': 1170, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 663489
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 8, 'source_is_minimal': True, 'source_label': '1170.2.e.h', 'source_level': 1170, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 8, 'target_is_minimal': True, 'target_label': '1170.2.e.h', 'target_level': 1170, 'twist_class_label': '1170.2.e.g', 'twist_class_level': 1170, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 663490
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 8, 'source_is_minimal': True, 'source_label': '1170.2.e.h', 'source_level': 1170, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 67, 'target_is_minimal': False, 'target_label': '5850.2.a.co', 'target_level': 5850, 'twist_class_label': '1170.2.e.g', 'twist_class_level': 1170, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 663491
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 8, 'source_is_minimal': True, 'source_label': '1170.2.e.h', 'source_level': 1170, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 69, 'target_is_minimal': False, 'target_label': '5850.2.a.cq', 'target_level': 5850, 'twist_class_label': '1170.2.e.g', 'twist_class_level': 1170, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 663492
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 8, 'source_is_minimal': True, 'source_label': '1170.2.e.h', 'source_level': 1170, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 70, 'target_is_minimal': False, 'target_label': '5850.2.a.cr', 'target_level': 5850, 'twist_class_label': '1170.2.e.g', 'twist_class_level': 1170, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 663493
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 8, 'source_is_minimal': True, 'source_label': '1170.2.e.h', 'source_level': 1170, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 72, 'target_is_minimal': False, 'target_label': '5850.2.a.ct', 'target_level': 5850, 'twist_class_label': '1170.2.e.g', 'twist_class_level': 1170, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1739325
{'charpoly_factorization': [[[1, 0, 1], 3]], 'hecke_orbit_code': 31525472303056018, 'p': 2}
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id: 1739326
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 31525472303056018, 'p': 3}
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id: 1739327
{'charpoly_factorization': [[[125, 0, -5, -16, -1, 0, 1], 1]], 'hecke_orbit_code': 31525472303056018, 'p': 5}
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id: 1739328
{'charpoly_factorization': [[[16, 0, 32, 0, 16, 0, 1], 1]], 'hecke_orbit_code': 31525472303056018, 'p': 7}
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id: 1739329
{'charpoly_factorization': [[[-2, 1], 6]], 'hecke_orbit_code': 31525472303056018, 'p': 11}
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id: 1739330
{'charpoly_factorization': [[[1, 0, 1], 3]], 'hecke_orbit_code': 31525472303056018, 'p': 13}
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id: 1739331
{'charpoly_factorization': [[[13456, 0, 1712, 0, 72, 0, 1], 1]], 'hecke_orbit_code': 31525472303056018, 'p': 17}
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id: 1739332
{'charpoly_factorization': [[[4, -8, 2, 1], 2]], 'hecke_orbit_code': 31525472303056018, 'p': 19}
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id: 1739333
{'charpoly_factorization': [[[5776, 0, 1600, 0, 80, 0, 1], 1]], 'hecke_orbit_code': 31525472303056018, 'p': 23}
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id: 1739334
{'charpoly_factorization': [[[-388, -44, 10, 1], 2]], 'hecke_orbit_code': 31525472303056018, 'p': 29}
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id: 1739335
{'charpoly_factorization': [[[-40, -4, 6, 1], 2]], 'hecke_orbit_code': 31525472303056018, 'p': 31}
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id: 1739336
{'charpoly_factorization': [[[18496, 0, 3120, 0, 140, 0, 1], 1]], 'hecke_orbit_code': 31525472303056018, 'p': 37}
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id: 1739337
{'charpoly_factorization': [[[-40, 52, -14, 1], 2]], 'hecke_orbit_code': 31525472303056018, 'p': 41}
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id: 1739338
{'charpoly_factorization': [[[256, 0, 14400, 0, 240, 0, 1], 1]], 'hecke_orbit_code': 31525472303056018, 'p': 43}
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id: 1739339
{'charpoly_factorization': [[[1024, 0, 512, 0, 48, 0, 1], 1]], 'hecke_orbit_code': 31525472303056018, 'p': 47}
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id: 1739340
{'charpoly_factorization': [[[246016, 0, 18496, 0, 272, 0, 1], 1]], 'hecke_orbit_code': 31525472303056018, 'p': 53}
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id: 1739341
{'charpoly_factorization': [[[-152, 28, 14, 1], 2]], 'hecke_orbit_code': 31525472303056018, 'p': 59}
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id: 1739342
{'charpoly_factorization': [[[-680, -132, 2, 1], 2]], 'hecke_orbit_code': 31525472303056018, 'p': 61}
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id: 1739343
{'charpoly_factorization': [[[64, 0, 2608, 0, 140, 0, 1], 1]], 'hecke_orbit_code': 31525472303056018, 'p': 67}
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id: 1739344
{'charpoly_factorization': [[[400, -80, -4, 1], 2]], 'hecke_orbit_code': 31525472303056018, 'p': 71}
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id: 1739345
{'charpoly_factorization': [[[11664, 0, 2592, 0, 144, 0, 1], 1]], 'hecke_orbit_code': 31525472303056018, 'p': 73}
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id: 1739346
{'charpoly_factorization': [[[1712, -240, -8, 1], 2]], 'hecke_orbit_code': 31525472303056018, 'p': 79}
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id: 1739347
{'charpoly_factorization': [[[6400, 0, 2496, 0, 128, 0, 1], 1]], 'hecke_orbit_code': 31525472303056018, 'p': 83}
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id: 1739348
{'charpoly_factorization': [[[200, 124, 22, 1], 2]], 'hecke_orbit_code': 31525472303056018, 'p': 89}
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id: 1739349
{'charpoly_factorization': [[[583696, 0, 22752, 0, 272, 0, 1], 1]], 'hecke_orbit_code': 31525472303056018, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 5, 'hecke_orbit': 8, 'label': '1170.2.e.h', 'level': 1170, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 193441000
{'hecke_orbit_code': 31525472303056018, 'n': 1, 'trace_an': 6}
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id: 193441001
{'hecke_orbit_code': 31525472303056018, 'n': 2, 'trace_an': 0}
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id: 193441002
{'hecke_orbit_code': 31525472303056018, 'n': 3, 'trace_an': 0}
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id: 193441003
{'hecke_orbit_code': 31525472303056018, 'n': 4, 'trace_an': -6}
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id: 193441004
{'hecke_orbit_code': 31525472303056018, 'n': 5, 'trace_an': 0}
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id: 193441005
{'hecke_orbit_code': 31525472303056018, 'n': 6, 'trace_an': 0}
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id: 193441006
{'hecke_orbit_code': 31525472303056018, 'n': 7, 'trace_an': 0}
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id: 193441007
{'hecke_orbit_code': 31525472303056018, 'n': 8, 'trace_an': 0}
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id: 193441008
{'hecke_orbit_code': 31525472303056018, 'n': 9, 'trace_an': 0}
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id: 193441009
{'hecke_orbit_code': 31525472303056018, 'n': 10, 'trace_an': 2}
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id: 193441010
{'hecke_orbit_code': 31525472303056018, 'n': 11, 'trace_an': 12}
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id: 193441011
{'hecke_orbit_code': 31525472303056018, 'n': 12, 'trace_an': 0}
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id: 193441012
{'hecke_orbit_code': 31525472303056018, 'n': 13, 'trace_an': 0}
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id: 193441013
{'hecke_orbit_code': 31525472303056018, 'n': 14, 'trace_an': -8}
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id: 193441014
{'hecke_orbit_code': 31525472303056018, 'n': 15, 'trace_an': 0}
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id: 193441015
{'hecke_orbit_code': 31525472303056018, 'n': 16, 'trace_an': 6}
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id: 193441016
{'hecke_orbit_code': 31525472303056018, 'n': 17, 'trace_an': 0}
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id: 193441017
{'hecke_orbit_code': 31525472303056018, 'n': 18, 'trace_an': 0}
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id: 193441018
{'hecke_orbit_code': 31525472303056018, 'n': 19, 'trace_an': -4}
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id: 193441019
{'hecke_orbit_code': 31525472303056018, 'n': 20, 'trace_an': 0}
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id: 193441020
{'hecke_orbit_code': 31525472303056018, 'n': 21, 'trace_an': 0}
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id: 193441021
{'hecke_orbit_code': 31525472303056018, 'n': 22, 'trace_an': 0}
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id: 193441022
{'hecke_orbit_code': 31525472303056018, 'n': 23, 'trace_an': 0}
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id: 193441023
{'hecke_orbit_code': 31525472303056018, 'n': 24, 'trace_an': 0}
-
id: 193441024
{'hecke_orbit_code': 31525472303056018, 'n': 25, 'trace_an': 2}
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id: 193441025
{'hecke_orbit_code': 31525472303056018, 'n': 26, 'trace_an': 6}
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id: 193441026
{'hecke_orbit_code': 31525472303056018, 'n': 27, 'trace_an': 0}
-
id: 193441027
{'hecke_orbit_code': 31525472303056018, 'n': 28, 'trace_an': 0}
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id: 193441028
{'hecke_orbit_code': 31525472303056018, 'n': 29, 'trace_an': -20}
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id: 193441029
{'hecke_orbit_code': 31525472303056018, 'n': 30, 'trace_an': 0}
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id: 193441030
{'hecke_orbit_code': 31525472303056018, 'n': 31, 'trace_an': -12}
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id: 193441031
{'hecke_orbit_code': 31525472303056018, 'n': 32, 'trace_an': 0}
-
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