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mf_newforms • Show schema
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{'Nk2': 296, 'analytic_conductor': 0.5908929749574748, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 37, 'char_degree': 6, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 8, 'char_orbit_label': 'h', 'char_order': 18, 'char_parity': 1, 'char_values': [74, 18, [39], [13]], 'cm_discs': [], 'conrey_index': 3, 'conrey_indexes': [3, 21, 25, 41, 65, 67], 'dim': 12, 'field_disc': 1586874322944, 'field_disc_factorization': [[2, 12], [3, 18]], 'field_poly': [1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 36, 'has_non_self_twist': 1, 'hecke_cutters': [], 'hecke_orbit': 1, 'hecke_orbit_code': 481069891658, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 37, 8, 1, 18, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '74.2.h.a', 'level': 74, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 37], 'level_radical': 74, 'minimal_twist': '74.2.h.a', 'nf_label': '12.0.1586874322944.1', 'prim_orbit_index': 8, 'qexp_display': 'q+\\zeta_{36}q^{2}+(1-\\zeta_{36}^{4}-\\zeta_{36}^{6})q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c18', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '74.2.h', 'trace_display': [0, 6, 0, -12], 'trace_hash': 68777849448230782, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.013', 'prec': 17}, {'__RealLiteral__': 0, 'data': '11.516', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '425.649', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
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{'Nk2': 296, 'analytic_conductor': 0.5908929749574748, 'char_conductor': 37, 'char_degree': 6, 'char_is_real': False, 'char_orbit_index': 8, 'char_orbit_label': 'h', 'char_order': 18, 'char_parity': 1, 'char_values': [74, 18, [39], [13]], 'conrey_index': 3, 'cusp_dim': 48, 'dim': 12, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [], 'hecke_orbit_code': 481069891658, 'hecke_orbit_dims': [12], 'label': '74.2.h', 'level': 74, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 37], 'level_radical': 74, 'mf_dim': 72, 'mf_new_dim': 12, 'num_forms': 1, 'prim_orbit_index': 8, 'relative_dim': 2, 'sturm_bound': 19, 'trace_bound': 0, 'trace_display': [0, 6, 0, -12], 'traces': [12, 0, 6, 0, 0, 0, -12, 0, -6, 6, -6, -6, 6, -18, 0, 0, 0, 0, -18, 0, -6, 0, 0, 0, -18, 12, -6, -6, 18, 24, 0, 0, -6, 12, 18, 12, 30, -24, 30, 12, 24, 0, 0, 6, -18, 30, 6, 0, 12, -36, 0, -12, -12, 0, -18, 0, -36, 6, 0, 0, -36, 0, -6, 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-36, 72, 48, 54, 0, 48, -60], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 5357711
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 25, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 481069891658, 'source_is_minimal': True, 'source_label': '74.2.h.a.25.2', 'source_level': 74, 'target_conrey_index': 25, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 481069891658, 'target_is_minimal': True, 'target_label': '74.2.h.a.25.2', 'target_level': 74, 'twist_class_label': '74.2.h.a.3.2', 'twist_class_level': 74, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 5357712
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 25, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 481069891658, 'source_is_minimal': True, 'source_label': '74.2.h.a.25.2', 'source_level': 74, 'target_conrey_index': 469, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9009604469981850, 'target_is_minimal': False, 'target_label': '666.2.bj.c.469.1', 'target_level': 666, 'twist_class_label': '74.2.h.a.3.2', 'twist_class_level': 74, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 5357713
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 25, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 481069891658, 'source_is_minimal': True, 'source_label': '74.2.h.a.25.2', 'source_level': 74, 'target_conrey_index': 321, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4506485878948432, 'target_is_minimal': False, 'target_label': '592.2.bq.b.321.1', 'target_level': 592, 'twist_class_label': '74.2.h.a.3.2', 'twist_class_level': 74, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 5357714
{'conductor': 37, 'degree': 6, 'order': 18, 'parity': 1, 'source_conrey_index': 25, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 481069891658, 'source_is_minimal': True, 'source_label': '74.2.h.a.25.2', 'source_level': 74, 'target_conrey_index': 3, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 481069891658, 'target_is_minimal': True, 'target_label': '74.2.h.a.3.2', 'target_level': 74, 'twist_class_label': '74.2.h.a.3.2', 'twist_class_level': 74, 'twisting_char_label': '37.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 5357715
{'conductor': 37, 'degree': 12, 'order': 36, 'parity': -1, 'source_conrey_index': 25, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 481069891658, 'source_is_minimal': True, 'source_label': '74.2.h.a.25.2', 'source_level': 74, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 76561193698855602, 'target_is_minimal': False, 'target_label': '2738.2.a.r.1.2', 'target_level': 2738, 'twist_class_label': '74.2.h.a.3.2', 'twist_class_level': 74, 'twisting_char_label': '37.15', 'twisting_conrey_index': 15, 'weight': 2}
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id: 5357716
{'conductor': 37, 'degree': 12, 'order': 36, 'parity': -1, 'source_conrey_index': 25, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 481069891658, 'source_is_minimal': True, 'source_label': '74.2.h.a.25.2', 'source_level': 74, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 81064793326226098, 'target_is_minimal': False, 'target_label': '2738.2.a.s.1.1', 'target_level': 2738, 'twist_class_label': '74.2.h.a.3.2', 'twist_class_level': 74, 'twisting_char_label': '37.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 5357717
{'conductor': 111, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 25, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 481069891658, 'source_is_minimal': True, 'source_label': '74.2.h.a.25.2', 'source_level': 74, 'target_conrey_index': 595, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9009604469981850, 'target_is_minimal': False, 'target_label': '666.2.bj.c.595.1', 'target_level': 666, 'twist_class_label': '74.2.h.a.3.2', 'twist_class_level': 74, 'twisting_char_label': '111.77', 'twisting_conrey_index': 77, 'weight': 2}
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id: 5357718
{'conductor': 148, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 25, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 481069891658, 'source_is_minimal': True, 'source_label': '74.2.h.a.25.2', 'source_level': 74, 'target_conrey_index': 225, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4506485878948432, 'target_is_minimal': False, 'target_label': '592.2.bq.b.225.1', 'target_level': 592, 'twist_class_label': '74.2.h.a.3.2', 'twist_class_level': 74, 'twisting_char_label': '148.3', 'twisting_conrey_index': 3, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 229650
{'charpoly_factorization': [[[1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 481069891658, 'p': 2}
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id: 229651
{'charpoly_factorization': [[[1, -6, 12, -8, 6, -3, 1], 2]], 'hecke_orbit_code': 481069891658, 'p': 3}
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id: 229652
{'charpoly_factorization': [[[81, 0, 81, -810, 1701, -2268, 1476, -162, 36, -72, 9, 0, 1], 1]], 'hecke_orbit_code': 481069891658, 'p': 5}
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id: 229653
{'charpoly_factorization': [[[1, 6, -21, -52, 1098, 990, 1164, 882, 504, 218, 66, 12, 1], 1]], 'hecke_orbit_code': 481069891658, 'p': 7}
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id: 229654
{'charpoly_factorization': [[[408321, -414072, 546426, -63396, 119151, 1458, 22680, 2322, 1431, 138, 63, 6, 1], 1]], 'hecke_orbit_code': 481069891658, 'p': 11}
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id: 229655
{'charpoly_factorization': [[[288369, -289980, 177255, -178128, 112788, -33174, 7530, -2880, 882, -174, 30, -6, 1], 1]], 'hecke_orbit_code': 481069891658, 'p': 13}
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id: 229656
{'charpoly_factorization': [[[81, -5832, 103356, 184518, 186624, 61560, 14355, 3240, 576, 234, 36, 0, 1], 1]], 'hecke_orbit_code': 481069891658, 'p': 17}
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id: 229657
{'charpoly_factorization': [[[10439361, 1919214, 3360285, 1808244, 637794, 19440, -45180, -16146, -1827, 342, 135, 18, 1], 1]], 'hecke_orbit_code': 481069891658, 'p': 19}
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id: 229658
{'charpoly_factorization': [[[431649, -35478, -436590, 35964, 400869, -47952, -38916, 4482, 3303, 0, -63, 0, 1], 1]], 'hecke_orbit_code': 481069891658, 'p': 23}
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id: 229659
{'charpoly_factorization': [[[110889, -431568, 742689, -711504, 400707, -124578, 14112, 2592, -423, -324, 126, -18, 1], 1]], 'hecke_orbit_code': 481069891658, 'p': 29}
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id: 229660
{'charpoly_factorization': [[[317445489, 0, 106546320, 0, 12463938, 0, 655566, 0, 16929, 0, 210, 0, 1], 1]], 'hecke_orbit_code': 481069891658, 'p': 31}
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id: 229661
{'charpoly_factorization': [[[2565726409, -2080318710, 781525137, -194406214, 37579050, -6083910, 953241, -164430, 27450, -3838, 417, -30, 1], 1]], 'hecke_orbit_code': 481069891658, 'p': 37}
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id: 229662
{'charpoly_factorization': [[[331776, 1990656, 5142528, -691200, 2654208, -145152, 29376, 19008, -5184, -336, 216, -24, 1], 1]], 'hecke_orbit_code': 481069891658, 'p': 41}
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id: 229663
{'charpoly_factorization': [[[2277081, 0, 14710302, 0, 3015693, 0, 238146, 0, 8910, 0, 156, 0, 1], 1]], 'hecke_orbit_code': 481069891658, 'p': 43}
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id: 229664
{'charpoly_factorization': [[[2027430729, 571392630, 338937777, 3894210, 17956242, -328698, 656073, -35478, 13338, -498, 153, -6, 1], 1]], 'hecke_orbit_code': 481069891658, 'p': 47}
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id: 229665
{'charpoly_factorization': [[[45041148441, 51376820778, 20285966511, 2947900932, 304555950, 6328530, -1286712, -235818, 1188, 798, 162, 12, 1], 1]], 'hecke_orbit_code': 481069891658, 'p': 53}
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id: 229666
{'charpoly_factorization': [[[17477104401, -349803846, -8372727, -155749392, 17490168, -4378536, -31518, 89046, 9108, 1404, 0, 0, 1], 1]], 'hecke_orbit_code': 481069891658, 'p': 59}
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id: 229667
{'charpoly_factorization': [[[331776, 995328, -663552, 2488320, 18786816, 11425536, 3508992, 711936, 101664, 10368, 756, 36, 1], 1]], 'hecke_orbit_code': 481069891658, 'p': 61}
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id: 229668
{'charpoly_factorization': [[[59697637561, 64028404536, 26000383650, 4827632402, 525509181, 48777696, 5658987, 764046, 101016, 9578, 669, 30, 1], 1]], 'hecke_orbit_code': 481069891658, 'p': 67}
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id: 229669
{'charpoly_factorization': [[[4131885551616, -270463463424, -21649959936, 5570297856, 774779904, -23576832, 1615680, 162432, -30672, -528, 216, -12, 1], 1]], 'hecke_orbit_code': 481069891658, 'p': 71}
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id: 229670
{'charpoly_factorization': [[[94609, -115410, 28305, 322, -366, 0, 1], 2]], 'hecke_orbit_code': 481069891658, 'p': 73}
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id: 229671
{'charpoly_factorization': [[[47961, -90666, 107784, -95022, 71694, -44784, 21543, -7560, 1674, -174, 12, -6, 1], 1]], 'hecke_orbit_code': 481069891658, 'p': 79}
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id: 229672
{'charpoly_factorization': [[[110889, -18719262, 892811565, 201295908, 318723984, 9542124, 1072386, 295434, 68364, 10968, 1008, 48, 1], 1]], 'hecke_orbit_code': 481069891658, 'p': 83}
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id: 229673
{'charpoly_factorization': [[[687331089, 509658480, 325925694, -299077110, 122173353, -18528264, 1249155, -102870, 216, 306, 9, 18, 1], 1]], 'hecke_orbit_code': 481069891658, 'p': 89}
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id: 229674
{'charpoly_factorization': [[[27455164416, -41898553344, 28495328256, -10960137216, 2599135488, -384618240, 32966016, -1091520, -52272, 3456, 336, -36, 1], 1]], 'hecke_orbit_code': 481069891658, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 8, 'hecke_orbit': 1, 'label': '74.2.h.a', 'level': 74, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 36026000
{'hecke_orbit_code': 481069891658, 'n': 1, 'trace_an': 12}
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id: 36026001
{'hecke_orbit_code': 481069891658, 'n': 2, 'trace_an': 0}
-
id: 36026002
{'hecke_orbit_code': 481069891658, 'n': 3, 'trace_an': 6}
-
id: 36026003
{'hecke_orbit_code': 481069891658, 'n': 4, 'trace_an': 0}
-
id: 36026004
{'hecke_orbit_code': 481069891658, 'n': 5, 'trace_an': 0}
-
id: 36026005
{'hecke_orbit_code': 481069891658, 'n': 6, 'trace_an': 0}
-
id: 36026006
{'hecke_orbit_code': 481069891658, 'n': 7, 'trace_an': -12}
-
id: 36026007
{'hecke_orbit_code': 481069891658, 'n': 8, 'trace_an': 0}
-
id: 36026008
{'hecke_orbit_code': 481069891658, 'n': 9, 'trace_an': -6}
-
id: 36026009
{'hecke_orbit_code': 481069891658, 'n': 10, 'trace_an': 6}
-
id: 36026010
{'hecke_orbit_code': 481069891658, 'n': 11, 'trace_an': -6}
-
id: 36026011
{'hecke_orbit_code': 481069891658, 'n': 12, 'trace_an': -6}
-
id: 36026012
{'hecke_orbit_code': 481069891658, 'n': 13, 'trace_an': 6}
-
id: 36026013
{'hecke_orbit_code': 481069891658, 'n': 14, 'trace_an': -18}
-
id: 36026014
{'hecke_orbit_code': 481069891658, 'n': 15, 'trace_an': 0}
-
id: 36026015
{'hecke_orbit_code': 481069891658, 'n': 16, 'trace_an': 0}
-
id: 36026016
{'hecke_orbit_code': 481069891658, 'n': 17, 'trace_an': 0}
-
id: 36026017
{'hecke_orbit_code': 481069891658, 'n': 18, 'trace_an': 0}
-
id: 36026018
{'hecke_orbit_code': 481069891658, 'n': 19, 'trace_an': -18}
-
id: 36026019
{'hecke_orbit_code': 481069891658, 'n': 20, 'trace_an': 0}
-
id: 36026020
{'hecke_orbit_code': 481069891658, 'n': 21, 'trace_an': -6}
-
id: 36026021
{'hecke_orbit_code': 481069891658, 'n': 22, 'trace_an': 0}
-
id: 36026022
{'hecke_orbit_code': 481069891658, 'n': 23, 'trace_an': 0}
-
id: 36026023
{'hecke_orbit_code': 481069891658, 'n': 24, 'trace_an': 0}
-
id: 36026024
{'hecke_orbit_code': 481069891658, 'n': 25, 'trace_an': -18}
-
id: 36026025
{'hecke_orbit_code': 481069891658, 'n': 26, 'trace_an': 12}
-
id: 36026026
{'hecke_orbit_code': 481069891658, 'n': 27, 'trace_an': -6}
-
id: 36026027
{'hecke_orbit_code': 481069891658, 'n': 28, 'trace_an': -6}
-
id: 36026028
{'hecke_orbit_code': 481069891658, 'n': 29, 'trace_an': 18}
-
id: 36026029
{'hecke_orbit_code': 481069891658, 'n': 30, 'trace_an': 24}
-
id: 36026030
{'hecke_orbit_code': 481069891658, 'n': 31, 'trace_an': 0}
-
id: 36026031
{'hecke_orbit_code': 481069891658, 'n': 32, 'trace_an': 0}
-
id: 36026032
{'hecke_orbit_code': 481069891658, 'n': 33, 'trace_an': -6}
-
id: 36026033
{'hecke_orbit_code': 481069891658, 'n': 34, 'trace_an': 12}
-
id: 36026034
{'hecke_orbit_code': 481069891658, 'n': 35, 'trace_an': 18}
-
id: 36026035
{'hecke_orbit_code': 481069891658, 'n': 36, 'trace_an': 12}
-
id: 36026036
{'hecke_orbit_code': 481069891658, 'n': 37, 'trace_an': 30}
-
id: 36026037
{'hecke_orbit_code': 481069891658, 'n': 38, 'trace_an': -24}
-
id: 36026038
{'hecke_orbit_code': 481069891658, 'n': 39, 'trace_an': 30}
-
id: 36026039
{'hecke_orbit_code': 481069891658, 'n': 40, 'trace_an': 12}
-
id: 36026040
{'hecke_orbit_code': 481069891658, 'n': 41, 'trace_an': 24}
-
id: 36026041
{'hecke_orbit_code': 481069891658, 'n': 42, 'trace_an': 0}
-
id: 36026042
{'hecke_orbit_code': 481069891658, 'n': 43, 'trace_an': 0}
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id: 36026043
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