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mf_newforms • Show schema
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{'Nk2': 15120, 'analytic_conductor': 45.77668441252988, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 35, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 30, 'char_orbit_label': 'bd', 'char_order': 2, 'char_parity': -1, 'char_values': [1680, 2, [1471, 421, 1121, 337, 241], [2, 2, 2, 1, 1]], 'cm_discs': [], 'conrey_index': 769, 'conrey_indexes': [769], 'dim': 16, 'field_disc': 111708725027450247933867470094336, 'field_disc_factorization': [[2, 32], [3, 8], [44621, 4]], 'field_poly': [33750, -202500, 619650, -1183860, 1591101, -1570812, 1208164, -722060, 362298, -141436, 49526, -12864, 3236, -532, 96, -8, 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': [[11, [-4844, -1776, 28, 24, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 1992915158672, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 36864, 'hecke_ring_index_factorization': [[2, 12], [3, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0], [1, 1, 7, 2, -1, 2, 0], [1, 1, 35, 3, -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': '1680.3.bd.a', 'level': 1680, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7], 'level_radical': 210, 'minimal_twist': '210.3.h.a', 'prim_orbit_index': 3, 'qexp_display': 'q-\\beta _{1}q^{3}-\\beta _{6}q^{5}+(-\\beta _{1}+\\beta _{2}+\\beta _{9}+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 16, 'rm_discs': [], 'sato_tate_group': '2.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1680.3.bd', 'trace_display': [0, 0, 0, 0], 'trace_hash': 1551114219957837086, 'trace_moments': [{'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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mf_newspaces • Show schema
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{'Nk2': 15120, 'analytic_conductor': 45.77668441252988, 'char_conductor': 35, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 30, 'char_orbit_label': 'bd', 'char_order': 2, 'char_parity': -1, 'char_values': [1680, 2, [1471, 421, 1121, 337, 241], [2, 2, 2, 1, 1]], 'conrey_index': 769, 'cusp_dim': 744, 'dim': 96, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [11], 'hecke_orbit_code': 1992915158672, 'hecke_orbit_dims': [16, 16, 16, 48], 'label': '1680.3.bd', 'level': 1680, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7], 'level_radical': 210, 'mf_dim': 792, 'mf_new_dim': 96, 'num_forms': 4, 'prim_orbit_index': 3, 'relative_dim': 96, 'sturm_bound': 1152, 'trace_bound': 11, 'trace_display': [0, 0, 0, 0], 'traces': [96, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 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mf_twists_nf • Show schema
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id: 787916
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 30, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '1680.3.bd.a', 'source_level': 1680, 'target_char_orbit': 8, 'target_dim': 16, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '210.3.h.a', 'target_level': 210, 'twist_class_label': '210.3.h.a', 'twist_class_level': 210, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 787917
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 30, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '1680.3.bd.a', 'source_level': 1680, 'target_char_orbit': 8, 'target_dim': 16, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '210.3.h.a', 'target_level': 210, 'twist_class_label': '210.3.h.a', 'twist_class_level': 210, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 3}
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id: 787918
{'conductor': 28, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 30, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '1680.3.bd.a', 'source_level': 1680, 'target_char_orbit': 8, 'target_dim': 16, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '210.3.h.a', 'target_level': 210, 'twist_class_label': '210.3.h.a', 'twist_class_level': 210, 'twisting_char_label': '28.d', 'twisting_char_orbit': 4, 'weight': 3}
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id: 787919
{'conductor': 140, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 30, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '1680.3.bd.a', 'source_level': 1680, 'target_char_orbit': 8, 'target_dim': 16, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '210.3.h.a', 'target_level': 210, 'twist_class_label': '210.3.h.a', 'twist_class_level': 210, 'twisting_char_label': '140.c', 'twisting_char_orbit': 3, 'weight': 3}
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id: 787920
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 30, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '1680.3.bd.a', 'source_level': 1680, 'target_char_orbit': 8, 'target_dim': 16, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '630.3.h.e', 'target_level': 630, 'twist_class_label': '210.3.h.a', 'twist_class_level': 210, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 787921
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 30, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '1680.3.bd.a', 'source_level': 1680, 'target_char_orbit': 8, 'target_dim': 16, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '630.3.h.e', 'target_level': 630, 'twist_class_label': '210.3.h.a', 'twist_class_level': 210, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 3}
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id: 787922
{'conductor': 84, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 30, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '1680.3.bd.a', 'source_level': 1680, 'target_char_orbit': 8, 'target_dim': 16, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '630.3.h.e', 'target_level': 630, 'twist_class_label': '210.3.h.a', 'twist_class_level': 210, 'twisting_char_label': '84.h', 'twisting_char_orbit': 8, 'weight': 3}
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id: 787923
{'conductor': 420, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 30, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '1680.3.bd.a', 'source_level': 1680, 'target_char_orbit': 8, 'target_dim': 16, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '630.3.h.e', 'target_level': 630, 'twist_class_label': '210.3.h.a', 'twist_class_level': 210, 'twisting_char_label': '420.o', 'twisting_char_orbit': 15, 'weight': 3}
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id: 787924
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 30, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '1680.3.bd.a', 'source_level': 1680, 'target_char_orbit': 6, 'target_dim': 16, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1050.3.f.e', 'target_level': 1050, 'twist_class_label': '210.3.h.a', 'twist_class_level': 210, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 3}
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id: 787925
{'conductor': 140, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 30, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '1680.3.bd.a', 'source_level': 1680, 'target_char_orbit': 6, 'target_dim': 16, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1050.3.f.e', 'target_level': 1050, 'twist_class_label': '210.3.h.a', 'twist_class_level': 210, 'twisting_char_label': '140.j', 'twisting_char_orbit': 10, 'weight': 3}
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id: 787926
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 30, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '1680.3.bd.a', 'source_level': 1680, 'target_char_orbit': 30, 'target_dim': 16, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1680.3.bd.a', 'target_level': 1680, 'twist_class_label': '210.3.h.a', 'twist_class_level': 210, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 3}
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id: 787927
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 30, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '1680.3.bd.a', 'source_level': 1680, 'target_char_orbit': 30, 'target_dim': 16, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1680.3.bd.a', 'target_level': 1680, 'twist_class_label': '210.3.h.a', 'twist_class_level': 210, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 787928
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 30, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '1680.3.bd.a', 'source_level': 1680, 'target_char_orbit': 30, 'target_dim': 16, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1680.3.bd.a', 'target_level': 1680, 'twist_class_label': '210.3.h.a', 'twist_class_level': 210, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 787929
{'conductor': 35, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 30, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '1680.3.bd.a', 'source_level': 1680, 'target_char_orbit': 30, 'target_dim': 16, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1680.3.bd.a', 'target_level': 1680, 'twist_class_label': '210.3.h.a', 'twist_class_level': 210, 'twisting_char_label': '35.c', 'twisting_char_orbit': 3, 'weight': 3}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2127175
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 1992915158672, 'p': 2}
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id: 2127176
{'charpoly_factorization': [[[-3, 0, 1], 8]], 'hecke_orbit_code': 1992915158672, 'p': 3}
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id: 2127177
{'charpoly_factorization': [[[152587890625, 0, -2929687500, 0, -146875000, 0, -2062500, 0, 588750, 0, -3300, 0, -376, 0, -12, 0, 1], 1]], 'hecke_orbit_code': 1992915158672, 'p': 5}
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id: 2127178
{'charpoly_factorization': [[[33232930569601, 0, -1550224166512, 0, 22667197532, 0, -59352720, 0, -1183546, 0, -24720, 0, 3932, 0, -112, 0, 1], 1]], 'hecke_orbit_code': 1992915158672, 'p': 7}
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id: 2127179
{'charpoly_factorization': [[[-4844, -1776, 28, 24, 1], 4]], 'hecke_orbit_code': 1992915158672, 'p': 11}
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id: 2127180
{'charpoly_factorization': [[[586802176, 0, -31875456, 0, 313732, 0, -1044, 0, 1], 2]], 'hecke_orbit_code': 1992915158672, 'p': 13}
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id: 2127181
{'charpoly_factorization': [[[338560000, 0, -18057600, 0, 270436, 0, -996, 0, 1], 2]], 'hecke_orbit_code': 1992915158672, 'p': 17}
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id: 2127182
{'charpoly_factorization': [[[2149991424, 0, 82078848, 0, 817828, 0, 1796, 0, 1], 2]], 'hecke_orbit_code': 1992915158672, 'p': 19}
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id: 2127183
{'charpoly_factorization': [[[11186869824, 0, 843688800, 0, 2745076, 0, 2932, 0, 1], 2]], 'hecke_orbit_code': 1992915158672, 'p': 23}
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id: 2127184
{'charpoly_factorization': [[[19600, -15040, -2088, -16, 1], 4]], 'hecke_orbit_code': 1992915158672, 'p': 29}
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id: 2127185
{'charpoly_factorization': [[[747256896, 0, 135657120, 0, 1609684, 0, 3740, 0, 1], 2]], 'hecke_orbit_code': 1992915158672, 'p': 31}
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id: 2127186
{'charpoly_factorization': [[[3617786594304, 0, 22298057472, 0, 23474128, 0, 8536, 0, 1], 2]], 'hecke_orbit_code': 1992915158672, 'p': 37}
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id: 2127187
{'charpoly_factorization': [[[1141899264, 0, 31862784, 0, 280612, 0, 932, 0, 1], 2]], 'hecke_orbit_code': 1992915158672, 'p': 41}
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id: 2127188
{'charpoly_factorization': [[[9151544623104, 0, 58526429184, 0, 49800256, 0, 12880, 0, 1], 2]], 'hecke_orbit_code': 1992915158672, 'p': 43}
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id: 2127189
{'charpoly_factorization': [[[14545741676544, 0, -43335462912, 0, 36173968, 0, -10904, 0, 1], 2]], 'hecke_orbit_code': 1992915158672, 'p': 47}
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id: 2127190
{'charpoly_factorization': [[[38389325511744, 0, 151688109792, 0, 81835828, 0, 15604, 0, 1], 2]], 'hecke_orbit_code': 1992915158672, 'p': 53}
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id: 2127191
{'charpoly_factorization': [[[203235065856, 0, 93596602368, 0, 77016640, 0, 16112, 0, 1], 2]], 'hecke_orbit_code': 1992915158672, 'p': 59}
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id: 2127192
{'charpoly_factorization': [[[72666906624, 0, 3009871872, 0, 17376768, 0, 13824, 0, 1], 2]], 'hecke_orbit_code': 1992915158672, 'p': 61}
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id: 2127193
{'charpoly_factorization': [[[404129746944, 0, 17186990592, 0, 41031568, 0, 17224, 0, 1], 2]], 'hecke_orbit_code': 1992915158672, 'p': 67}
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id: 2127194
{'charpoly_factorization': [[[-18715436, 805728, -6116, -96, 1], 4]], 'hecke_orbit_code': 1992915158672, 'p': 71}
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id: 2127195
{'charpoly_factorization': [[[105841627140096, 0, -293584216320, 0, 150294724, 0, -24020, 0, 1], 2]], 'hecke_orbit_code': 1992915158672, 'p': 73}
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id: 2127196
{'charpoly_factorization': [[[-12612096, 304896, 3952, -152, 1], 4]], 'hecke_orbit_code': 1992915158672, 'p': 79}
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id: 2127197
{'charpoly_factorization': [[[13129665286144, 0, -61332269568, 0, 67029904, 0, -15480, 0, 1], 2]], 'hecke_orbit_code': 1992915158672, 'p': 83}
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id: 2127198
{'charpoly_factorization': [[[135150669186624, 0, 565049618976, 0, 203551636, 0, 24860, 0, 1], 2]], 'hecke_orbit_code': 1992915158672, 'p': 89}
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id: 2127199
{'charpoly_factorization': [[[5898136817664, 0, -159955263744, 0, 116506372, 0, -20468, 0, 1], 2]], 'hecke_orbit_code': 1992915158672, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 30, 'hecke_orbit': 1, 'label': '1680.3.bd.a', 'level': 1680, 'portrait': 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', 'weight': 3}
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mf_hecke_traces • Show schema
Hide schema
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id: 54180000
{'hecke_orbit_code': 1992915158672, 'n': 1, 'trace_an': 16}
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id: 54180001
{'hecke_orbit_code': 1992915158672, 'n': 2, 'trace_an': 0}
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id: 54180002
{'hecke_orbit_code': 1992915158672, 'n': 3, 'trace_an': 0}
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id: 54180003
{'hecke_orbit_code': 1992915158672, 'n': 4, 'trace_an': 0}
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id: 54180004
{'hecke_orbit_code': 1992915158672, 'n': 5, 'trace_an': 0}
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id: 54180005
{'hecke_orbit_code': 1992915158672, 'n': 6, 'trace_an': 0}
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id: 54180006
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