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mf_newforms • Show schema
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{'Nk2': 12936, 'analytic_conductor': 25.823620013682078, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 77, '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': [3234, 2, [1079, 199, 2059], [2, 1, 1]], 'cm_discs': [], 'conrey_index': 2155, 'conrey_indexes': [2155], 'dim': 16, 'field_disc': 44346714548146599547109376, 'field_disc_factorization': [[2, 26], [3, 8], [10035887, 2]], 'field_poly': [13417, -82874, 223844, -386266, 493030, -477124, 378750, -239606, 130215, -56904, 22086, -6718, 1878, -378, 74, -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': [[5, [35344, 0, 158136, 0, 240841, 0, 156530, 0, 52131, 0, 9580, 0, 971, 0, 50, 0, 1]], [13, [-128, -1216, -592, 1168, 836, -8, -64, 0, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 274911464610, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 64, 'hecke_ring_index_factorization': [[2, 6]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 77, 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': '3234.2.e.a', 'level': 3234, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 11], 'level_radical': 462, 'minimal_twist': '462.2.p.a', 'prim_orbit_index': 2, 'qexp_display': 'q-\\beta _{12}q^{2}-\\beta _{12}q^{3}-q^{4}+(-\\beta _{11}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 16, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3234.2.e', 'trace_display': [0, 0, 0, 0], 'trace_hash': 118598262563138823, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.027', 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
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{'Nk2': 12936, 'analytic_conductor': 25.823620013682078, 'char_conductor': 77, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 2, 'char_parity': 1, 'char_values': [3234, 2, [1079, 199, 2059], [2, 1, 1]], 'conrey_index': 2155, 'cusp_dim': 640, 'dim': 80, 'eis_dim': 64, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 13], 'hecke_orbit_code': 274911464610, 'hecke_orbit_dims': [16, 16, 24, 24], 'label': '3234.2.e', 'level': 3234, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 11], 'level_radical': 462, 'mf_dim': 704, 'mf_new_dim': 80, 'num_forms': 4, 'prim_orbit_index': 2, 'relative_dim': 80, 'sturm_bound': 1344, 'trace_bound': 6, 'trace_display': [0, 0, 0, 0], 'traces': [80, 0, 0, -80, 0, 0, 0, 0, -80, 0, 16, 0, 0, 0, -8, 80, 0, 0, 0, 0, 0, -12, 16, 0, -56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 80, -24, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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mf_twists_cc • Show schema
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id: 2905259
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 2155, 'source_dim': 16, 'source_embedding_index': 8, 'source_hecke_orbit_code': 274911464610, 'source_is_minimal': False, 'source_label': '3234.2.e.a.2155.8', 'source_level': 3234, 'target_conrey_index': 2155, 'target_dim': 16, 'target_embedding_index': 8, 'target_hecke_orbit_code': 274911464610, 'target_is_minimal': False, 'target_label': '3234.2.e.a.2155.8', 'target_level': 3234, 'twist_class_label': '462.2.p.a.241.4', 'twist_class_level': 462, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 2905260
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 2155, 'source_dim': 16, 'source_embedding_index': 8, 'source_hecke_orbit_code': 274911464610, 'source_is_minimal': False, 'source_label': '3234.2.e.a.2155.8', 'source_level': 3234, 'target_conrey_index': 241, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 1030825705934, 'target_is_minimal': True, 'target_label': '462.2.p.a.241.4', 'target_level': 462, 'twist_class_label': '462.2.p.a.241.4', 'twist_class_level': 462, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 2905261
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 2155, 'source_dim': 16, 'source_embedding_index': 8, 'source_hecke_orbit_code': 274911464610, 'source_is_minimal': False, 'source_label': '3234.2.e.a.2155.8', 'source_level': 3234, 'target_conrey_index': 439, 'target_dim': 16, 'target_embedding_index': 8, 'target_hecke_orbit_code': 4504630453076430, 'target_is_minimal': True, 'target_label': '462.2.p.b.439.8', 'target_level': 462, 'twist_class_label': '462.2.p.a.241.4', 'twist_class_level': 462, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 2905262
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 2155, 'source_dim': 16, 'source_embedding_index': 8, 'source_hecke_orbit_code': 274911464610, 'source_is_minimal': False, 'source_label': '3234.2.e.a.2155.8', 'source_level': 3234, 'target_conrey_index': 2155, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874538835106, 'target_is_minimal': False, 'target_label': '3234.2.e.b.2155.1', 'target_level': 3234, 'twist_class_label': '462.2.p.a.241.4', 'twist_class_level': 462, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 2905263
{'conductor': 11, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 2155, 'source_dim': 16, 'source_embedding_index': 8, 'source_hecke_orbit_code': 274911464610, 'source_is_minimal': False, 'source_label': '3234.2.e.a.2155.8', 'source_level': 3234, 'target_conrey_index': 2155, 'target_dim': 16, 'target_embedding_index': 16, 'target_hecke_orbit_code': 4503874538835106, 'target_is_minimal': False, 'target_label': '3234.2.e.b.2155.16', 'target_level': 3234, 'twist_class_label': '462.2.p.a.241.4', 'twist_class_level': 462, 'twisting_char_label': '11.10', 'twisting_conrey_index': 10, 'weight': 2}
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id: 2905264
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 2155, 'source_dim': 16, 'source_embedding_index': 8, 'source_hecke_orbit_code': 274911464610, 'source_is_minimal': False, 'source_label': '3234.2.e.a.2155.8', 'source_level': 3234, 'target_conrey_index': 703, 'target_dim': 16, 'target_embedding_index': 5, 'target_hecke_orbit_code': 2473934718314, 'target_is_minimal': False, 'target_label': '1386.2.bk.a.703.5', 'target_level': 1386, 'twist_class_label': '462.2.p.a.241.4', 'twist_class_level': 462, 'twisting_char_label': '21.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 2905265
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 2155, 'source_dim': 16, 'source_embedding_index': 8, 'source_hecke_orbit_code': 274911464610, 'source_is_minimal': False, 'source_label': '3234.2.e.a.2155.8', 'source_level': 3234, 'target_conrey_index': 901, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4506073562088810, 'target_is_minimal': False, 'target_label': '1386.2.bk.b.901.1', 'target_level': 1386, 'twist_class_label': '462.2.p.a.241.4', 'twist_class_level': 462, 'twisting_char_label': '21.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 2905266
{'conductor': 77, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 2155, 'source_dim': 16, 'source_embedding_index': 8, 'source_hecke_orbit_code': 274911464610, 'source_is_minimal': False, 'source_label': '3234.2.e.a.2155.8', 'source_level': 3234, 'target_conrey_index': 439, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 1030825705934, 'target_is_minimal': True, 'target_label': '462.2.p.a.439.4', 'target_level': 462, 'twist_class_label': '462.2.p.a.241.4', 'twist_class_level': 462, 'twisting_char_label': '77.10', 'twisting_conrey_index': 10, 'weight': 2}
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id: 2905267
{'conductor': 77, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 2155, 'source_dim': 16, 'source_embedding_index': 8, 'source_hecke_orbit_code': 274911464610, 'source_is_minimal': False, 'source_label': '3234.2.e.a.2155.8', 'source_level': 3234, 'target_conrey_index': 241, 'target_dim': 16, 'target_embedding_index': 8, 'target_hecke_orbit_code': 4504630453076430, 'target_is_minimal': True, 'target_label': '462.2.p.b.241.8', 'target_level': 462, 'twist_class_label': '462.2.p.a.241.4', 'twist_class_level': 462, 'twisting_char_label': '77.65', 'twisting_conrey_index': 65, 'weight': 2}
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id: 2905268
{'conductor': 77, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 2155, 'source_dim': 16, 'source_embedding_index': 8, 'source_hecke_orbit_code': 274911464610, 'source_is_minimal': False, 'source_label': '3234.2.e.a.2155.8', 'source_level': 3234, 'target_conrey_index': 2155, 'target_dim': 16, 'target_embedding_index': 9, 'target_hecke_orbit_code': 274911464610, 'target_is_minimal': False, 'target_label': '3234.2.e.a.2155.9', 'target_level': 3234, 'twist_class_label': '462.2.p.a.241.4', 'twist_class_level': 462, 'twisting_char_label': '77.76', 'twisting_conrey_index': 76, 'weight': 2}
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id: 2905269
{'conductor': 231, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 2155, 'source_dim': 16, 'source_embedding_index': 8, 'source_hecke_orbit_code': 274911464610, 'source_is_minimal': False, 'source_label': '3234.2.e.a.2155.8', 'source_level': 3234, 'target_conrey_index': 703, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4506073562088810, 'target_is_minimal': False, 'target_label': '1386.2.bk.b.703.1', 'target_level': 1386, 'twist_class_label': '462.2.p.a.241.4', 'twist_class_level': 462, 'twisting_char_label': '231.65', 'twisting_conrey_index': 65, 'weight': 2}
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id: 2905270
{'conductor': 231, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 2155, 'source_dim': 16, 'source_embedding_index': 8, 'source_hecke_orbit_code': 274911464610, 'source_is_minimal': False, 'source_label': '3234.2.e.a.2155.8', 'source_level': 3234, 'target_conrey_index': 901, 'target_dim': 16, 'target_embedding_index': 5, 'target_hecke_orbit_code': 2473934718314, 'target_is_minimal': False, 'target_label': '1386.2.bk.a.901.5', 'target_level': 1386, 'twist_class_label': '462.2.p.a.241.4', 'twist_class_level': 462, 'twisting_char_label': '231.164', 'twisting_conrey_index': 164, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3074900
{'charpoly_factorization': [[[1, 0, 1], 8]], 'hecke_orbit_code': 274911464610, 'p': 2}
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id: 3074901
{'charpoly_factorization': [[[1, 0, 1], 8]], 'hecke_orbit_code': 274911464610, 'p': 3}
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id: 3074902
{'charpoly_factorization': [[[35344, 0, 158136, 0, 240841, 0, 156530, 0, 52131, 0, 9580, 0, 971, 0, 50, 0, 1], 1]], 'hecke_orbit_code': 274911464610, 'p': 5}
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id: 3074903
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 274911464610, 'p': 7}
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id: 3074904
{'charpoly_factorization': [[[214358881, -155897368, 58461513, -9018856, -3016046, 1756920, -142417, -170808, 86618, -15528, -1177, 1320, -206, -56, 33, -8, 1], 1]], 'hecke_orbit_code': 274911464610, 'p': 11}
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id: 3074905
{'charpoly_factorization': [[[-128, -1216, -592, 1168, 836, -8, -64, 0, 1], 2]], 'hecke_orbit_code': 274911464610, 'p': 13}
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id: 3074906
{'charpoly_factorization': [[[24, 276, 277, -1736, 727, 68, -53, 0, 1], 2]], 'hecke_orbit_code': 274911464610, 'p': 17}
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id: 3074907
{'charpoly_factorization': [[[-1664, 2368, 4368, -2272, -440, 300, -7, -10, 1], 2]], 'hecke_orbit_code': 274911464610, 'p': 19}
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id: 3074908
{'charpoly_factorization': [[[-155048, 244956, -51751, -20192, 4817, 520, -127, -4, 1], 2]], 'hecke_orbit_code': 274911464610, 'p': 23}
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id: 3074909
{'charpoly_factorization': [[[12810617856, 0, 11931674112, 0, 3667420672, 0, 491528720, 0, 33087905, 0, 1203204, 0, 23910, 0, 244, 0, 1], 1]], 'hecke_orbit_code': 274911464610, 'p': 29}
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id: 3074910
{'charpoly_factorization': [[[262144, 0, 2588672, 0, 4282624, 0, 2570240, 0, 637600, 0, 75296, 0, 4321, 0, 110, 0, 1], 1]], 'hecke_orbit_code': 274911464610, 'p': 31}
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id: 3074911
{'charpoly_factorization': [[[-354432, -97728, 87184, 29632, -2472, -1500, -67, 14, 1], 2]], 'hecke_orbit_code': 274911464610, 'p': 37}
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id: 3074912
{'charpoly_factorization': [[[256, -8064, 2848, 6824, -4815, 952, 2, -16, 1], 2]], 'hecke_orbit_code': 274911464610, 'p': 41}
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id: 3074913
{'charpoly_factorization': [[[23084548096, 0, 25298960384, 0, 8477803520, 0, 1124077312, 0, 71086992, 0, 2303384, 0, 38761, 0, 318, 0, 1], 1]], 'hecke_orbit_code': 274911464610, 'p': 43}
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id: 3074914
{'charpoly_factorization': [[[1344737098384, 0, 2709628962904, 0, 763408512409, 0, 67398714066, 0, 1958321891, 0, 26776492, 0, 190971, 0, 690, 0, 1], 1]], 'hecke_orbit_code': 274911464610, 'p': 47}
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id: 3074915
{'charpoly_factorization': [[[-162752, -375904, -185836, 8776, 14360, -116, -235, 0, 1], 2]], 'hecke_orbit_code': 274911464610, 'p': 53}
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id: 3074916
{'charpoly_factorization': [[[109280491776, 0, 413934441216, 0, 104526860512, 0, 10191969456, 0, 463763809, 0, 10035524, 0, 106438, 0, 532, 0, 1], 1]], 'hecke_orbit_code': 274911464610, 'p': 59}
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id: 3074917
{'charpoly_factorization': [[[-59072, 62880, 133652, 9776, -10375, -1168, 164, 28, 1], 2]], 'hecke_orbit_code': 274911464610, 'p': 61}
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id: 3074918
{'charpoly_factorization': [[[49024, 152928, -1900, -47276, 1025, 1924, -94, -16, 1], 2]], 'hecke_orbit_code': 274911464610, 'p': 67}
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id: 3074919
{'charpoly_factorization': [[[4193232, 2297712, -45068, -251544, -58124, -4360, 97, 28, 1], 2]], 'hecke_orbit_code': 274911464610, 'p': 71}
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id: 3074920
{'charpoly_factorization': [[[-346112, -2721792, 397696, 174976, -31680, -1504, 620, -44, 1], 2]], 'hecke_orbit_code': 274911464610, 'p': 73}
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id: 3074921
{'charpoly_factorization': [[[1130708969104, 0, 4846349134264, 0, 1006354044337, 0, 67984476246, 0, 1939764659, 0, 27483124, 0, 201843, 0, 726, 0, 1], 1]], 'hecke_orbit_code': 274911464610, 'p': 79}
-
id: 3074922
{'charpoly_factorization': [[[5604, 12516, -263, -8396, 1031, 780, -141, -4, 1], 2]], 'hecke_orbit_code': 274911464610, 'p': 83}
-
id: 3074923
{'charpoly_factorization': [[[96546188427264, 0, 26162967478272, 0, 2506860298240, 0, 114502692864, 0, 2742795520, 0, 35171840, 0, 236896, 0, 784, 0, 1], 1]], 'hecke_orbit_code': 274911464610, 'p': 89}
-
id: 3074924
{'charpoly_factorization': [[[68597371921, 0, 325271379408, 0, 446119112140, 0, 163854186512, 0, 4910736438, 0, 58793584, 0, 340460, 0, 944, 0, 1], 1]], 'hecke_orbit_code': 274911464610, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 1, 'label': '3234.2.e.a', 'level': 3234, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 29730000
{'hecke_orbit_code': 274911464610, 'n': 1, 'trace_an': 16}
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id: 29730001
{'hecke_orbit_code': 274911464610, 'n': 2, 'trace_an': 0}
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id: 29730002
{'hecke_orbit_code': 274911464610, 'n': 3, 'trace_an': 0}
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id: 29730003
{'hecke_orbit_code': 274911464610, 'n': 4, 'trace_an': -16}
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id: 29730004
{'hecke_orbit_code': 274911464610, 'n': 5, 'trace_an': 0}
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id: 29730005
{'hecke_orbit_code': 274911464610, 'n': 6, 'trace_an': -16}
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id: 29730006
{'hecke_orbit_code': 274911464610, 'n': 7, 'trace_an': 0}
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id: 29730007
{'hecke_orbit_code': 274911464610, 'n': 8, 'trace_an': 0}
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id: 29730008
{'hecke_orbit_code': 274911464610, 'n': 9, 'trace_an': -16}
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id: 29730009
{'hecke_orbit_code': 274911464610, 'n': 10, 'trace_an': -4}
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id: 29730010
{'hecke_orbit_code': 274911464610, 'n': 11, 'trace_an': 8}
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id: 29730011
{'hecke_orbit_code': 274911464610, 'n': 12, 'trace_an': 0}
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id: 29730012
{'hecke_orbit_code': 274911464610, 'n': 13, 'trace_an': 0}
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id: 29730013
{'hecke_orbit_code': 274911464610, 'n': 14, 'trace_an': 0}
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id: 29730014
{'hecke_orbit_code': 274911464610, 'n': 15, 'trace_an': -4}
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id: 29730015
{'hecke_orbit_code': 274911464610, 'n': 16, 'trace_an': 16}
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id: 29730016
{'hecke_orbit_code': 274911464610, 'n': 17, 'trace_an': 0}
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id: 29730017
{'hecke_orbit_code': 274911464610, 'n': 18, 'trace_an': 0}
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id: 29730018
{'hecke_orbit_code': 274911464610, 'n': 19, 'trace_an': 20}
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id: 29730019
{'hecke_orbit_code': 274911464610, 'n': 20, 'trace_an': 0}
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id: 29730020
{'hecke_orbit_code': 274911464610, 'n': 21, 'trace_an': 0}
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id: 29730021
{'hecke_orbit_code': 274911464610, 'n': 22, 'trace_an': 2}
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id: 29730022
{'hecke_orbit_code': 274911464610, 'n': 23, 'trace_an': 8}
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id: 29730023
{'hecke_orbit_code': 274911464610, 'n': 24, 'trace_an': 16}
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id: 29730024
{'hecke_orbit_code': 274911464610, 'n': 25, 'trace_an': -20}
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id: 29730025
{'hecke_orbit_code': 274911464610, 'n': 26, 'trace_an': 0}
-
id: 29730026
{'hecke_orbit_code': 274911464610, 'n': 27, 'trace_an': 0}
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id: 29730027
{'hecke_orbit_code': 274911464610, 'n': 28, 'trace_an': 0}
-
id: 29730028
{'hecke_orbit_code': 274911464610, 'n': 29, 'trace_an': 0}
-
id: 29730029
{'hecke_orbit_code': 274911464610, 'n': 30, 'trace_an': 0}
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id: 29730030
{'hecke_orbit_code': 274911464610, 'n': 31, 'trace_an': 0}
-
id: 29730031
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