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mf_newforms • Show schema
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{'Nk2': 1428, 'analytic_conductor': 2.8506593521597097, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [7, -1], [17, -1]], 'atkin_lehner_string': '---', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [357, 1, [239, 52, 190], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 3, 'field_disc': 316, 'field_disc_factorization': [[2, 2], [79, 1]], 'field_poly': [2, -4, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [2, -4, -1, 1]], [11, [4, 5, -6, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27021597797777765, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 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mf_hecke_cc • Show schema
Hide schema
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-
mf_newspaces • Show schema
Hide schema
{'ALdims': [2, 1, 4, 1, 1, 2, 1, 3], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [0, 1, 1, 1, 1, 1, 1, 1], 'ALdims_old': [0, 8, 4, 3, 2, 7, 5, 1], 'Nk2': 1428, 'analytic_conductor': 2.8506593521597097, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [357, 1, [239, 52, 190], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 45, 'dim': 15, 'eis_dim': 7, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 11], 'hecke_orbit_code': 33554789, 'hecke_orbit_dims': [1, 1, 1, 1, 2, 2, 3, 4], 'label': '357.2.a', 'level': 357, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [3, 7, 17], 'level_radical': 357, 'mf_dim': 52, 'mf_new_dim': 15, 'num_forms': 8, 'plus_dim': 6, 'prim_orbit_index': 1, 'relative_dim': 15, 'sturm_bound': 96, 'trace_bound': 7, 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-200, -28, 106, 76, -64, -12, -84, -14, 12, -168, 92, 152, 82, 52, 190, -28, 1, -244, -24, 36, -10, 40, -4, 6, 152, -12, -178, 150, 192, -16, 82, -8, 116, 16, 62, 22, 68, -114, 40, 34, -138, 36, 172, 2, -144, 108, 24, -44, 188, -110, 9, 158, 6, -184, -200, -8, -8, -34, 14, 191, 12, -12, 98, -76, 32, -92, -327, 0, -20, 60, 9, 84, -120, 14, -34, 14, 116, 24, -2, -6, -36, -176, 218, 96, 22, -32, -144, 152, 0, 88, 176, -92, -32, 0, 116, -86, -212, -14, 52], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 45516204
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 27021597797777765, 'source_is_minimal': True, 'source_label': '357.2.a.g.1.3', 'source_level': 357, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 27021597797777765, 'target_is_minimal': True, 'target_label': '357.2.a.g.1.3', 'target_level': 357, 'twist_class_label': '357.2.a.g.1.3', 'twist_class_level': 357, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 45516205
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 27021597797777765, 'source_is_minimal': True, 'source_label': '357.2.a.g.1.3', 'source_level': 357, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525197425148975, 'target_is_minimal': False, 'target_label': '1071.2.a.h.1.1', 'target_level': 1071, 'twist_class_label': '357.2.a.g.1.3', 'twist_class_level': 357, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 45516206
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 27021597797777765, 'source_is_minimal': True, 'source_label': '357.2.a.g.1.3', 'source_level': 357, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 202661983265232464, 'target_is_minimal': False, 'target_label': '5712.2.a.bt.1.1', 'target_level': 5712, 'twist_class_label': '357.2.a.g.1.3', 'twist_class_level': 357, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 45516207
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 27021597797777765, 'source_is_minimal': True, 'source_label': '357.2.a.g.1.3', 'source_level': 357, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 171136785873642205, 'target_is_minimal': False, 'target_label': '8925.2.a.bm.1.1', 'target_level': 8925, 'twist_class_label': '357.2.a.g.1.3', 'twist_class_level': 357, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 45516208
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 27021597797777765, 'source_is_minimal': True, 'source_label': '357.2.a.g.1.3', 'source_level': 357, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 81064793326225859, 'target_is_minimal': False, 'target_label': '2499.2.a.s.1.3', 'target_level': 2499, 'twist_class_label': '357.2.a.g.1.3', 'twist_class_level': 357, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 45516209
{'conductor': 17, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 27021597797777765, 'source_is_minimal': True, 'source_label': '357.2.a.g.1.3', 'source_level': 357, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 76561193698858933, 'target_is_minimal': False, 'target_label': '6069.2.a.r.1.3', 'target_level': 6069, 'twist_class_label': '357.2.a.g.1.3', 'twist_class_level': 357, 'twisting_char_label': '17.16', 'twisting_conrey_index': 16, 'weight': 2}
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id: 45516210
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 27021597797777765, 'source_is_minimal': True, 'source_label': '357.2.a.g.1.3', 'source_level': 357, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 117093590345194825, 'target_is_minimal': False, 'target_label': '7497.2.a.ba.1.1', 'target_level': 7497, 'twist_class_label': '357.2.a.g.1.3', 'twist_class_level': 357, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 765900
{'charpoly_factorization': [[[2, -4, -1, 1], 1]], 'hecke_orbit_code': 27021597797777765, 'p': 2}
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id: 765901
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 27021597797777765, 'p': 3}
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id: 765902
{'charpoly_factorization': [[[2, -3, -2, 1], 1]], 'hecke_orbit_code': 27021597797777765, 'p': 5}
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id: 765903
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 27021597797777765, 'p': 7}
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id: 765904
{'charpoly_factorization': [[[4, 5, -6, 1], 1]], 'hecke_orbit_code': 27021597797777765, 'p': 11}
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id: 765905
{'charpoly_factorization': [[[-62, -23, 2, 1], 1]], 'hecke_orbit_code': 27021597797777765, 'p': 13}
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id: 765906
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 27021597797777765, 'p': 17}
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id: 765907
{'charpoly_factorization': [[[-4, 1, 4, 1], 1]], 'hecke_orbit_code': 27021597797777765, 'p': 19}
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id: 765908
{'charpoly_factorization': [[[8, 5, -6, 1], 1]], 'hecke_orbit_code': 27021597797777765, 'p': 23}
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id: 765909
{'charpoly_factorization': [[[64, -16, -6, 1], 1]], 'hecke_orbit_code': 27021597797777765, 'p': 29}
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id: 765910
{'charpoly_factorization': [[[64, 58, 14, 1], 1]], 'hecke_orbit_code': 27021597797777765, 'p': 31}
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id: 765911
{'charpoly_factorization': [[[68, -50, 4, 1], 1]], 'hecke_orbit_code': 27021597797777765, 'p': 37}
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id: 765912
{'charpoly_factorization': [[[-82, 61, -14, 1], 1]], 'hecke_orbit_code': 27021597797777765, 'p': 41}
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id: 765913
{'charpoly_factorization': [[[-124, -59, -2, 1], 1]], 'hecke_orbit_code': 27021597797777765, 'p': 43}
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id: 765914
{'charpoly_factorization': [[[-352, -94, 2, 1], 1]], 'hecke_orbit_code': 27021597797777765, 'p': 47}
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id: 765915
{'charpoly_factorization': [[[-668, -178, 4, 1], 1]], 'hecke_orbit_code': 27021597797777765, 'p': 53}
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id: 765916
{'charpoly_factorization': [[[-152, -78, 2, 1], 1]], 'hecke_orbit_code': 27021597797777765, 'p': 59}
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id: 765917
{'charpoly_factorization': [[[-108, -18, 12, 1], 1]], 'hecke_orbit_code': 27021597797777765, 'p': 61}
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id: 765918
{'charpoly_factorization': [[[688, -108, -12, 1], 1]], 'hecke_orbit_code': 27021597797777765, 'p': 67}
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id: 765919
{'charpoly_factorization': [[[352, -172, 0, 1], 1]], 'hecke_orbit_code': 27021597797777765, 'p': 71}
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id: 765920
{'charpoly_factorization': [[[-232, 100, 22, 1], 1]], 'hecke_orbit_code': 27021597797777765, 'p': 73}
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id: 765921
{'charpoly_factorization': [[[32, -14, -2, 1], 1]], 'hecke_orbit_code': 27021597797777765, 'p': 79}
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id: 765922
{'charpoly_factorization': [[[-272, 164, -24, 1], 1]], 'hecke_orbit_code': 27021597797777765, 'p': 83}
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id: 765923
{'charpoly_factorization': [[[-656, -64, 10, 1], 1]], 'hecke_orbit_code': 27021597797777765, 'p': 89}
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id: 765924
{'charpoly_factorization': [[[-64, -16, 6, 1], 1]], 'hecke_orbit_code': 27021597797777765, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 7, 'label': '357.2.a.g', 'level': 357, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 45027685
{'hecke_orbit_code': 27021597797777765, 'n': 1, 'trace_an': 3}
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id: 45027686
{'hecke_orbit_code': 27021597797777765, 'n': 2, 'trace_an': 1}
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id: 45027687
{'hecke_orbit_code': 27021597797777765, 'n': 3, 'trace_an': 3}
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id: 45027688
{'hecke_orbit_code': 27021597797777765, 'n': 4, 'trace_an': 3}
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id: 45027689
{'hecke_orbit_code': 27021597797777765, 'n': 5, 'trace_an': 2}
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id: 45027690
{'hecke_orbit_code': 27021597797777765, 'n': 6, 'trace_an': 1}
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id: 45027691
{'hecke_orbit_code': 27021597797777765, 'n': 7, 'trace_an': 3}
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id: 45027692
{'hecke_orbit_code': 27021597797777765, 'n': 8, 'trace_an': 3}
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id: 45027693
{'hecke_orbit_code': 27021597797777765, 'n': 9, 'trace_an': 3}
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id: 45027694
{'hecke_orbit_code': 27021597797777765, 'n': 10, 'trace_an': -8}
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id: 45027695
{'hecke_orbit_code': 27021597797777765, 'n': 11, 'trace_an': 6}
-
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id: 45027898
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id: 45027899
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id: 45027900
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id: 45027901
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id: 45027902
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id: 45027903
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id: 45027904
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id: 45027905
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id: 45027906
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id: 45027907
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id: 45027908
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id: 45027909
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id: 45027910
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id: 45027911
{'hecke_orbit_code': 27021597797777765, 'n': 797, 'trace_an': -42}
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id: 45027912
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id: 45027913
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id: 45027914
{'hecke_orbit_code': 27021597797777765, 'n': 821, 'trace_an': 68}
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id: 45027915
{'hecke_orbit_code': 27021597797777765, 'n': 823, 'trace_an': 6}
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id: 45027916
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id: 45027917
{'hecke_orbit_code': 27021597797777765, 'n': 829, 'trace_an': -22}
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id: 45027918
{'hecke_orbit_code': 27021597797777765, 'n': 839, 'trace_an': -12}
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id: 45027919
{'hecke_orbit_code': 27021597797777765, 'n': 841, 'trace_an': -19}
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id: 45027920
{'hecke_orbit_code': 27021597797777765, 'n': 853, 'trace_an': -48}
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id: 45027921
{'hecke_orbit_code': 27021597797777765, 'n': 857, 'trace_an': 50}
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id: 45027922
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id: 45027923
{'hecke_orbit_code': 27021597797777765, 'n': 863, 'trace_an': -30}
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id: 45027924
{'hecke_orbit_code': 27021597797777765, 'n': 877, 'trace_an': 80}
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id: 45027925
{'hecke_orbit_code': 27021597797777765, 'n': 881, 'trace_an': 18}
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id: 45027926
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id: 45027927
{'hecke_orbit_code': 27021597797777765, 'n': 887, 'trace_an': 8}
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id: 45027928
{'hecke_orbit_code': 27021597797777765, 'n': 907, 'trace_an': 84}
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id: 45027929
{'hecke_orbit_code': 27021597797777765, 'n': 911, 'trace_an': -90}
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id: 45027930
{'hecke_orbit_code': 27021597797777765, 'n': 919, 'trace_an': 42}
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id: 45027931
{'hecke_orbit_code': 27021597797777765, 'n': 929, 'trace_an': 54}
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id: 45027932
{'hecke_orbit_code': 27021597797777765, 'n': 937, 'trace_an': 50}
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id: 45027933
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id: 45027934
{'hecke_orbit_code': 27021597797777765, 'n': 947, 'trace_an': 16}
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id: 45027935
{'hecke_orbit_code': 27021597797777765, 'n': 953, 'trace_an': 36}
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id: 45027936
{'hecke_orbit_code': 27021597797777765, 'n': 961, 'trace_an': -13}
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id: 45027937
{'hecke_orbit_code': 27021597797777765, 'n': 967, 'trace_an': -18}
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id: 45027938
{'hecke_orbit_code': 27021597797777765, 'n': 971, 'trace_an': -16}
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id: 45027939
{'hecke_orbit_code': 27021597797777765, 'n': 977, 'trace_an': 2}
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id: 45027940
{'hecke_orbit_code': 27021597797777765, 'n': 983, 'trace_an': -88}
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id: 45027941
{'hecke_orbit_code': 27021597797777765, 'n': 991, 'trace_an': 72}
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id: 45027942
{'hecke_orbit_code': 27021597797777765, 'n': 997, 'trace_an': -14}