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mf_newforms • Show schema
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{'Nk2': 8112, 'analytic_conductor': 29.913968372910492, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 13, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [507, 2, [170, 340], [2, 1]], 'cm_discs': [], 'conrey_index': 337, 'conrey_indexes': [337], 'dim': 4, 'field_disc': 12544, 'field_disc_factorization': [[2, 8], [7, 2]], 'field_poly': [49, 0, 0, 0, 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': [[2, [169, 0, 30, 0, 1]], [5, [7744, 0, 400, 0, 1]]], 'hecke_orbit': 6, 'hecke_orbit_code': 22518066923438587, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 8, 'hecke_ring_index_factorization': [[2, 3]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 13, 2, 1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '507.4.b.f', 'level': 507, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 13], 'level_radical': 39, 'minimal_twist': '39.4.a.b', 'nf_label': '4.0.12544.2', 'prim_orbit_index': 2, 'qexp_display': 'q+\\beta _{2}q^{2}-3q^{3}+(-7-\\beta _{3})q^{4}+(7\\beta _{1}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '3.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '507.4.b', 'trace_display': [0, -12, 0, 0], 'trace_hash': 929298364635373884, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.733', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '70.547', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [0, 0, 1, 0], [-3, 0, 0, 0], [-7, 0, 0, -1], [0, 7, -2, 0], [0, 0, -3, 0], [0, -1, 2, 0], [0, -13, -1, 0], [9, 0, 0, 0], [16, 0, 0, -5], [0, 5, 12, 0], [21, 0, 0, 3], [0, 0, 0, 0], [-28, 0, 0, -1], [0, -21, 6, 0], [-15, 0, 0, 6], [-82, 0, 0, -2], [0, 0, 9, 0], [0, 11, 2, 0], [0, -9, -10, 0], [0, 3, -6, 0], [-190, 0, 0, -17], [-4, 0, 0, -24], [0, 39, 3, 0], [-75, 0, 0, 24], [0, 0, 0, 0], [-27, 0, 0, 0], [0, -21, -14, 0], [202, 0, 0, -12], [-48, 0, 0, 15], [0, 23, -26, 0], [0, -26, -11, 0], [0, -15, -36, 0], [0, -26, -86, 0], [56, 0, 0, -12], [-63, 0, 0, -9], [0, 39, -28, 0], [-52, 0, 0, -13], [0, 0, 0, 0], [296, 0, 0, -21], [0, 3, 94, 0], [84, 0, 0, 3], [308, 0, 0, -26], [0, -181, -128, 0], [0, 63, -18, 0], [0, -312, -52, 0], [0, 97, -32, 0], [45, 0, 0, -18], [287, 0, 0, 0], [0, 312, -27, 0], [246, 0, 0, 6], [0, 0, 0, 0], [-82, 0, 0, -60], [0, 0, -27, 0], [72, 0, 0, -50], [28, 0, 0, 27], [0, -33, -6, 0], [0, -156, 178, 0], [0, -15, -40, 0], [0, 27, 30, 0], [314, 0, 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0, 3196], [1854, 0, 0, -2240]], 'char_orbit_index': 2, 'field_poly': [49, 0, 0, 0, 1], 'hecke_orbit_code': 22518066923438587, 'hecke_ring_character_values': [[170, [1, 0, 0, 0]], [340, [-1, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 7, 7, 7], 'hecke_ring_inverse_denominators': [1, 4, 2, 4], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, -1, 2, 1], [0, 7, 0, 0], [0, -7, 14, -7]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 0, 2, 0], [0, 7, 1, 1], [0, 14, 0, -2]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '507.4.b.f', 'level': 507, 'maxp': 997, 'weight': 4}
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mf_newspaces • Show schema
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{'Nk2': 8112, 'analytic_conductor': 29.913968372910492, 'char_conductor': 13, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [507, 2, [170, 340], [2, 1]], 'conrey_index': 337, 'cusp_dim': 168, 'dim': 76, 'eis_dim': 28, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 5], 'hecke_orbit_code': 68786586107, 'hecke_orbit_dims': [2, 2, 2, 2, 4, 4, 6, 8, 10, 18, 18], 'label': '507.4.b', 'level': 507, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 13], 'level_radical': 39, 'mf_dim': 196, 'mf_new_dim': 76, 'num_forms': 11, 'prim_orbit_index': 2, 'relative_dim': 76, 'sturm_bound': 242, 'trace_bound': 17, 'trace_display': [0, 0, 0, 0], 'traces': [76, 0, 0, -296, 0, 0, 0, 0, 684, 32, 0, -48, 0, 304, 0, 936, -316, 0, 0, 0, 0, -408, 80, 0, -2100, 0, 0, 0, 308, 528, 0, 0, 0, 0, -1040, -2664, 0, 224, 0, 280, 0, -1296, 160, 0, 0, 0, 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mf_twists_nf • Show schema
Hide schema
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id: 359705
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '507.4.b.f', 'source_level': 507, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '39.4.a.b', 'target_level': 39, 'twist_class_label': '39.4.a.b', 'twist_class_level': 39, 'twisting_char_label': '13.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 359706
{'conductor': 39, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '507.4.b.f', 'source_level': 507, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '117.4.a.c', 'target_level': 117, 'twist_class_label': '39.4.a.b', 'twist_class_level': 39, 'twisting_char_label': '39.f', 'twisting_char_orbit': 6, 'weight': 4}
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id: 359707
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '507.4.b.f', 'source_level': 507, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '507.4.a.f', 'target_level': 507, 'twist_class_label': '39.4.a.b', 'twist_class_level': 39, 'twisting_char_label': '13.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 359708
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '507.4.b.f', 'source_level': 507, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '507.4.b.f', 'target_level': 507, 'twist_class_label': '39.4.a.b', 'twist_class_level': 39, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 359709
{'conductor': 13, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '507.4.b.f', 'source_level': 507, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '507.4.b.f', 'target_level': 507, 'twist_class_label': '39.4.a.b', 'twist_class_level': 39, 'twisting_char_label': '13.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 359710
{'conductor': 52, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '507.4.b.f', 'source_level': 507, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '624.4.a.r', 'target_level': 624, 'twist_class_label': '39.4.a.b', 'twist_class_level': 39, 'twisting_char_label': '52.f', 'twisting_char_orbit': 6, 'weight': 4}
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id: 359711
{'conductor': 65, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '507.4.b.f', 'source_level': 507, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '975.4.a.j', 'target_level': 975, 'twist_class_label': '39.4.a.b', 'twist_class_level': 39, 'twisting_char_label': '65.g', 'twisting_char_orbit': 7, 'weight': 4}
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id: 359712
{'conductor': 39, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '507.4.b.f', 'source_level': 507, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '1521.4.a.s', 'target_level': 1521, 'twist_class_label': '39.4.a.b', 'twist_class_level': 39, 'twisting_char_label': '39.f', 'twisting_char_orbit': 6, 'weight': 4}
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id: 359713
{'conductor': 156, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '507.4.b.f', 'source_level': 507, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '1872.4.a.t', 'target_level': 1872, 'twist_class_label': '39.4.a.b', 'twist_class_level': 39, 'twisting_char_label': '156.l', 'twisting_char_orbit': 12, 'weight': 4}
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id: 359714
{'conductor': 91, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '507.4.b.f', 'source_level': 507, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1911.4.a.h', 'target_level': 1911, 'twist_class_label': '39.4.a.b', 'twist_class_level': 39, 'twisting_char_label': '91.i', 'twisting_char_orbit': 9, 'weight': 4}
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id: 359715
{'conductor': 104, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '507.4.b.f', 'source_level': 507, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '2496.4.a.s', 'target_level': 2496, 'twist_class_label': '39.4.a.b', 'twist_class_level': 39, 'twisting_char_label': '104.m', 'twisting_char_orbit': 13, 'weight': 4}
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id: 359716
{'conductor': 104, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '507.4.b.f', 'source_level': 507, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 29, 'target_is_minimal': False, 'target_label': '2496.4.a.bc', 'target_level': 2496, 'twist_class_label': '39.4.a.b', 'twist_class_level': 39, 'twisting_char_label': '104.j', 'twisting_char_orbit': 10, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 981975
{'charpoly_factorization': [[[169, 0, 30, 0, 1], 1]], 'hecke_orbit_code': 22518066923438587, 'p': 2}
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id: 981976
{'charpoly_factorization': [[[3, 1], 4]], 'hecke_orbit_code': 22518066923438587, 'p': 3}
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id: 981977
{'charpoly_factorization': [[[7744, 0, 400, 0, 1], 1]], 'hecke_orbit_code': 22518066923438587, 'p': 5}
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id: 981978
{'charpoly_factorization': [[[56, 0, 1], 2]], 'hecke_orbit_code': 22518066923438587, 'p': 7}
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id: 981979
{'charpoly_factorization': [[[2347024, 0, 5000, 0, 1], 1]], 'hecke_orbit_code': 22518066923438587, 'p': 11}
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id: 981980
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 22518066923438587, 'p': 13}
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id: 981981
{'charpoly_factorization': [[[6500, 164, 1], 2]], 'hecke_orbit_code': 22518066923438587, 'p': 17}
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id: 981982
{'charpoly_factorization': [[[270400, 0, 1264, 0, 1], 1]], 'hecke_orbit_code': 22518066923438587, 'p': 19}
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id: 981983
{'charpoly_factorization': [[[-32240, 8, 1], 2]], 'hecke_orbit_code': 22518066923438587, 'p': 23}
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id: 981984
{'charpoly_factorization': [[[32740, -404, 1], 2]], 'hecke_orbit_code': 22518066923438587, 'p': 29}
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id: 981985
{'charpoly_factorization': [[[82156096, 0, 19728, 0, 1], 1]], 'hecke_orbit_code': 22518066923438587, 'p': 31}
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id: 981986
{'charpoly_factorization': [[[71842576, 0, 26952, 0, 1], 1]], 'hecke_orbit_code': 22518066923438587, 'p': 37}
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id: 981987
{'charpoly_factorization': [[[12928599616, 0, 267408, 0, 1], 1]], 'hecke_orbit_code': 22518066923438587, 'p': 41}
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id: 981988
{'charpoly_factorization': [[[57008, -616, 1], 2]], 'hecke_orbit_code': 22518066923438587, 'p': 43}
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id: 981989
{'charpoly_factorization': [[[141800464, 0, 81160, 0, 1], 1]], 'hecke_orbit_code': 22518066923438587, 'p': 47}
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id: 981990
{'charpoly_factorization': [[[-194876, 164, 1], 2]], 'hecke_orbit_code': 22518066923438587, 'p': 53}
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id: 981991
{'charpoly_factorization': [[[306250000, 0, 54600, 0, 1], 1]], 'hecke_orbit_code': 22518066923438587, 'p': 59}
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id: 981992
{'charpoly_factorization': [[[-160348, -628, 1], 2]], 'hecke_orbit_code': 22518066923438587, 'p': 61}
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id: 981993
{'charpoly_factorization': [[[121734001216, 0, 920592, 0, 1], 1]], 'hecke_orbit_code': 22518066923438587, 'p': 67}
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id: 981994
{'charpoly_factorization': [[[2807728144, 0, 289160, 0, 1], 1]], 'hecke_orbit_code': 22518066923438587, 'p': 71}
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id: 981995
{'charpoly_factorization': [[[14795316496, 0, 566728, 0, 1], 1]], 'hecke_orbit_code': 22518066923438587, 'p': 73}
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id: 981996
{'charpoly_factorization': [[[-61760, 432, 1], 2]], 'hecke_orbit_code': 22518066923438587, 'p': 79}
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id: 981997
{'charpoly_factorization': [[[180023701264, 0, 1077960, 0, 1], 1]], 'hecke_orbit_code': 22518066923438587, 'p': 83}
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id: 981998
{'charpoly_factorization': [[[75625000000, 0, 1471600, 0, 1], 1]], 'hecke_orbit_code': 22518066923438587, 'p': 89}
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id: 981999
{'charpoly_factorization': [[[368259640336, 0, 1496712, 0, 1], 1]], 'hecke_orbit_code': 22518066923438587, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 2, 'hecke_orbit': 6, 'label': '507.4.b.f', 'level': 507, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 170829000
{'hecke_orbit_code': 22518066923438587, 'n': 1, 'trace_an': 4}
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id: 170829001
{'hecke_orbit_code': 22518066923438587, 'n': 2, 'trace_an': 0}
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id: 170829002
{'hecke_orbit_code': 22518066923438587, 'n': 3, 'trace_an': -12}
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id: 170829003
{'hecke_orbit_code': 22518066923438587, 'n': 4, 'trace_an': -28}
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id: 170829004
{'hecke_orbit_code': 22518066923438587, 'n': 5, 'trace_an': 0}
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id: 170829005
{'hecke_orbit_code': 22518066923438587, 'n': 6, 'trace_an': 0}
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id: 170829006
{'hecke_orbit_code': 22518066923438587, 'n': 7, 'trace_an': 0}
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