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mf_newforms • Show schema
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{'Nk2': 444, 'analytic_conductor': 0.8863394624362123, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 37, 'char_degree': 6, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 9, 'char_parity': 1, 'char_values': [111, 9, [38, 76], [9, 8]], 'cm_discs': [], 'conrey_index': 7, 'conrey_indexes': [7, 16, 34, 46, 49, 70], 'dim': 18, 'field_disc': -470147496024949856917820883, 'field_disc_factorization': [[-1, 1], [3, 27], [19, 2], [413263, 2]], 'field_poly': [361, -57, 1662, -347, 5964, -1269, 6622, -2001, 5184, -1621, 2382, -801, 796, -231, 150, -33, 18, -3, 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, [361, 1995, 4626, 5213, 2820, 873, 70, -1377, 438, 19, 438, 375, 88, 21, 36, 15, 6, 3, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 687228321903, 'hecke_ring_generator_nbound': 3, '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, 6, 1, 9, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '111.2.k.a', 'level': 111, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [3, 37], 'level_radical': 111, 'minimal_twist': '111.2.k.a', 'prim_orbit_index': 6, 'qexp_display': 'q-\\beta _{7}q^{2}+(\\beta _{9}+\\beta _{13})q^{3}+(\\beta _{13}+\\beta _{16}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c9', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '111.2.k', 'trace_display': [-3, 0, -6, 6], 'trace_hash': 1184110737713364915, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '16.647', 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mf_hecke_cc • Show schema
Hide schema
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-
mf_newspaces • Show schema
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{'Nk2': 444, 'analytic_conductor': 0.8863394624362123, 'char_conductor': 37, 'char_degree': 6, 'char_is_real': False, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 9, 'char_parity': 1, 'char_values': [111, 9, [38, 76], [9, 8]], 'conrey_index': 7, 'cusp_dim': 66, 'dim': 42, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 687228321903, 'hecke_orbit_dims': [18, 24], 'label': '111.2.k', 'level': 111, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [3, 37], 'level_radical': 111, 'mf_dim': 90, 'mf_new_dim': 42, 'num_forms': 2, 'prim_orbit_index': 6, 'relative_dim': 7, 'sturm_bound': 25, 'trace_bound': 1, 'trace_display': [-6, 0, -12, -3], 'traces': [42, -6, 0, -6, -12, 0, -3, -12, 0, -12, 0, 0, 18, 12, 0, -18, -24, -6, 0, -30, -15, -6, 0, 0, 0, 18, -3, 6, 6, 24, -48, 102, 12, -36, 0, 48, 39, -60, 27, 6, 0, 24, 0, 24, 0, -6, 6, -36, -27, -48, 0, -78, -42, 0, -6, 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mf_twists_cc • Show schema
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id: 7770737
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 7, 'source_dim': 18, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687228321903, 'source_is_minimal': True, 'source_label': '111.2.k.a.7.1', 'source_level': 111, 'target_conrey_index': 7, 'target_dim': 18, 'target_embedding_index': 1, 'target_hecke_orbit_code': 687228321903, 'target_is_minimal': True, 'target_label': '111.2.k.a.7.1', 'target_level': 111, 'twist_class_label': '111.2.k.a.7.1', 'twist_class_level': 111, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 7770738
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 7, 'source_dim': 18, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687228321903, 'source_is_minimal': True, 'source_label': '111.2.k.a.7.1', 'source_level': 111, 'target_conrey_index': 118, 'target_dim': 18, 'target_embedding_index': 3, 'target_hecke_orbit_code': 13512379463631181, 'target_is_minimal': False, 'target_label': '333.2.x.d.118.3', 'target_level': 333, 'twist_class_label': '111.2.k.a.7.1', 'twist_class_level': 111, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 7770739
{'conductor': 37, 'degree': 6, 'order': 18, 'parity': 1, 'source_conrey_index': 7, 'source_dim': 18, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687228321903, 'source_is_minimal': True, 'source_label': '111.2.k.a.7.1', 'source_level': 111, 'target_conrey_index': 1, 'target_dim': 9, 'target_embedding_index': 2, 'target_hecke_orbit_code': 54043195562004491, 'target_is_minimal': False, 'target_label': '4107.2.a.m.1.2', 'target_level': 4107, 'twist_class_label': '111.2.k.a.7.1', 'twist_class_level': 111, 'twisting_char_label': '37.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 7770740
{'conductor': 37, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 7, 'source_dim': 18, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687228321903, 'source_is_minimal': True, 'source_label': '111.2.k.a.7.1', 'source_level': 111, 'target_conrey_index': 16, 'target_dim': 18, 'target_embedding_index': 1, 'target_hecke_orbit_code': 687228321903, 'target_is_minimal': True, 'target_label': '111.2.k.a.16.1', 'target_level': 111, 'twist_class_label': '111.2.k.a.7.1', 'twist_class_level': 111, 'twisting_char_label': '37.16', 'twisting_conrey_index': 16, 'weight': 2}
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id: 7770741
{'conductor': 37, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 7, 'source_dim': 18, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687228321903, 'source_is_minimal': True, 'source_label': '111.2.k.a.7.1', 'source_level': 111, 'target_conrey_index': 1, 'target_dim': 9, 'target_embedding_index': 8, 'target_hecke_orbit_code': 58546795189374987, 'target_is_minimal': False, 'target_label': '4107.2.a.n.1.8', 'target_level': 4107, 'twist_class_label': '111.2.k.a.7.1', 'twist_class_level': 111, 'twisting_char_label': '37.33', 'twisting_conrey_index': 33, 'weight': 2}
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id: 7770742
{'conductor': 111, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 7, 'source_dim': 18, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687228321903, 'source_is_minimal': True, 'source_label': '111.2.k.a.7.1', 'source_level': 111, 'target_conrey_index': 127, 'target_dim': 18, 'target_embedding_index': 3, 'target_hecke_orbit_code': 13512379463631181, 'target_is_minimal': False, 'target_label': '333.2.x.d.127.3', 'target_level': 333, 'twist_class_label': '111.2.k.a.7.1', 'twist_class_level': 111, 'twisting_char_label': '111.53', 'twisting_conrey_index': 53, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 318700
{'charpoly_factorization': [[[361, 1995, 4626, 5213, 2820, 873, 70, -1377, 438, 19, 438, 375, 88, 21, 36, 15, 6, 3, 1], 1]], 'hecke_orbit_code': 687228321903, 'p': 2}
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id: 318701
{'charpoly_factorization': [[[1, 0, 0, -1, 0, 0, 1], 3]], 'hecke_orbit_code': 687228321903, 'p': 3}
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id: 318702
{'charpoly_factorization': [[[361, 3249, 5700, -11419, 33579, -53808, 61182, -56589, 37437, -10956, -1194, 684, 995, -294, -42, 22, 15, 6, 1], 1]], 'hecke_orbit_code': 687228321903, 'p': 5}
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id: 318703
{'charpoly_factorization': [[[64, -1056, 3072, 20800, 12480, -17652, 36101, -53649, 53931, -32484, 15966, -6930, 2295, -606, 219, -82, 27, -6, 1], 1]], 'hecke_orbit_code': 687228321903, 'p': 7}
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id: 318704
{'charpoly_factorization': [[[16777216, 40894464, 83951616, 61890560, 49188096, 18409728, 11337369, 2719971, 1880361, 226614, 215868, 1956, 20213, -1320, 1311, -152, 63, -6, 1], 1]], 'hecke_orbit_code': 687228321903, 'p': 11}
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id: 318705
{'charpoly_factorization': [[[3308761, -10128192, 9030732, 31059995, 14757726, -3688914, -1809238, -980208, 293052, -101265, 343662, -208866, 95022, -30864, 7020, -1217, 174, -18, 1], 1]], 'hecke_orbit_code': 687228321903, 'p': 13}
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id: 318706
{'charpoly_factorization': [[[3568321, -8041473, 66982419, -212408530, 394756698, 23857839, 28460850, -4799721, -4035351, 1204446, 608370, 13083, -27322, -5553, 987, 790, 186, 21, 1], 1]], 'hecke_orbit_code': 687228321903, 'p': 17}
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id: 318707
{'charpoly_factorization': [[[264517696, -141496800, -282000480, 358865120, 75903720, -304908264, 225818529, -96985872, 27108273, -3743223, -98781, 157317, -19258, 1575, 2067, -497, 105, -12, 1], 1]], 'hecke_orbit_code': 687228321903, 'p': 19}
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id: 318708
{'charpoly_factorization': [[[2050624, -54060864, 1293214608, -3380938336, 7201942212, -3690116478, 1960425039, -469136895, 175676076, -29071881, 11067792, -1087794, 385439, -19161, 9900, -212, 117, 0, 1], 1]], 'hecke_orbit_code': 687228321903, 'p': 23}
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id: 318709
{'charpoly_factorization': [[[172160641, 1155855132, 6475982589, 10674837434, 16489425297, -7333708569, 5777271785, -965611626, 419568135, -44559420, 19836708, -1353654, 556218, -14064, 10926, -62, 135, 3, 1], 1]], 'hecke_orbit_code': 687228321903, 'p': 29}
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id: 318710
{'charpoly_factorization': [[[-32408, -6624, 67686, 59467, 14040, -1668, -955, -48, 12, 1], 2]], 'hecke_orbit_code': 687228321903, 'p': 31}
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id: 318711
{'charpoly_factorization': [[[129961739795077, -94836945255867, 30757928191092, -6111560306238, 888712152912, -112978173402, 18601453149, -4515769710, 1028563407, -187649813, 27799011, -3298590, 367233, -60282, 12816, -2382, 324, -27, 1], 1]], 'hecke_orbit_code': 687228321903, 'p': 37}
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id: 318712
{'charpoly_factorization': [[[349859237121, -239505134391, 482514062211, -436313739213, 234490159683, -62217250767, 15318922743, -3151997469, 529189038, -26134137, 13119408, -2508354, 97209, -43281, 5706, 990, -108, -9, 1], 1]], 'hecke_orbit_code': 687228321903, 'p': 41}
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id: 318713
{'charpoly_factorization': [[[-4382272, 813696, 1520052, 98177, -113757, -21675, 378, 405, 36, 1], 2]], 'hecke_orbit_code': 687228321903, 'p': 43}
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id: 318714
{'charpoly_factorization': [[[740275264, -6110046144, 39801219600, -72045481056, 84951533652, -64764181626, 36405660235, -15204013143, 4967338545, -1273444142, 262994331, -43462221, 5878639, -643941, 60483, -4819, 366, -21, 1], 1]], 'hecke_orbit_code': 687228321903, 'p': 47}
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id: 318715
{'charpoly_factorization': [[[74022629041, -396288551973, 959794635849, -1209728870210, 854441165175, -395276804460, 168189687226, -50717304321, 8001153444, -584090185, 62695485, -9021405, 82699, -80187, 13092, 1293, 249, 18, 1], 1]], 'hecke_orbit_code': 687228321903, 'p': 53}
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id: 318716
{'charpoly_factorization': [[[47311470144, -271817786016, 631547093376, -304052313384, -456296790996, 130710708936, 312533429805, 183181496760, 66190282461, 17328269898, 3536173260, 573070896, 75455712, 8001234, 677601, 44520, 2133, 66, 1], 1]], 'hecke_orbit_code': 687228321903, 'p': 59}
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id: 318717
{'charpoly_factorization': [[[571177544261041, 653467208341821, 379023281458791, 79870528939854, 26068931381373, 220820221545, 210637074354, -69375560979, -688880532, 1122208081, 82175493, -23014167, 813543, 125040, -17088, -51, 336, -33, 1], 1]], 'hecke_orbit_code': 687228321903, 'p': 61}
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id: 318718
{'charpoly_factorization': [[[107694236224, -933483064704, 2316231014880, -974313451080, 5827446264552, -213059174928, -104990548103, -45827502702, 18751322181, -3094995116, 377823258, -36985416, 5097412, -893874, 126468, -12592, 894, -42, 1], 1]], 'hecke_orbit_code': 687228321903, 'p': 67}
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id: 318719
{'charpoly_factorization': [[[1649909422144, 2638127695968, 1648725427392, -834217022080, 508233968400, 99287963916, 21456996589, 25800954765, 4265751066, 62873818, 301226997, -28589445, 2958787, -182001, 6219, 3186, -156, -15, 1], 1]], 'hecke_orbit_code': 687228321903, 'p': 71}
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id: 318720
{'charpoly_factorization': [[[5944087, 9709935, -2831394, -896527, 182196, 27237, -3105, -306, 12, 1], 2]], 'hecke_orbit_code': 687228321903, 'p': 73}
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id: 318721
{'charpoly_factorization': [[[897159242365489216, -117870656036879328, 96692839111066848, -125699831792472, -87516376486644, 175331115450408, 9714469968609, 203944030365, 375715742199, 22977298793, -1796205912, -123697497, 15588888, 516156, 4476, -1506, -213, 6, 1], 1]], 'hecke_orbit_code': 687228321903, 'p': 79}
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id: 318722
{'charpoly_factorization': [[[734586485801536, -1015925221515072, 653452724379744, -283947530997392, 90785142230688, -16252682015958, 2711236988545, -434037383046, 47794680459, -5899743166, 1078843644, -135238179, 13818052, -958827, 37839, -2280, 402, -33, 1], 1]], 'hecke_orbit_code': 687228321903, 'p': 83}
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id: 318723
{'charpoly_factorization': [[[16739960689, 108257861292, 516055480707, 1386620931795, 2527586571807, 501689159931, -86024400665, -1627447824, 4208125362, -1488517865, 197015565, -10525686, 1979002, -653064, 115458, -12982, 975, -45, 1], 1]], 'hecke_orbit_code': 687228321903, 'p': 89}
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id: 318724
{'charpoly_factorization': [[[137234360095849, 580388078272194, 2279315269927392, 799114946364956, 355835866020858, 43268955836646, 17975366089970, 2223161993436, 556718531100, 47111584254, 8642735340, 681176562, 89986353, 4709568, 367902, 12838, 906, 24, 1], 1]], 'hecke_orbit_code': 687228321903, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 11, 'hecke_orbit': 1, 'label': '111.2.k.a', 'level': 111, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 40747000
{'hecke_orbit_code': 687228321903, 'n': 1, 'trace_an': 18}
-
id: 40747001
{'hecke_orbit_code': 687228321903, 'n': 2, 'trace_an': -3}
-
id: 40747002
{'hecke_orbit_code': 687228321903, 'n': 3, 'trace_an': 0}
-
id: 40747003
{'hecke_orbit_code': 687228321903, 'n': 4, 'trace_an': -3}
-
id: 40747004
{'hecke_orbit_code': 687228321903, 'n': 5, 'trace_an': -6}
-
id: 40747005
{'hecke_orbit_code': 687228321903, 'n': 6, 'trace_an': -6}
-
id: 40747006
{'hecke_orbit_code': 687228321903, 'n': 7, 'trace_an': 6}
-
id: 40747007
{'hecke_orbit_code': 687228321903, 'n': 8, 'trace_an': -6}
-
id: 40747008
{'hecke_orbit_code': 687228321903, 'n': 9, 'trace_an': 0}
-
id: 40747009
{'hecke_orbit_code': 687228321903, 'n': 10, 'trace_an': 12}
-
id: 40747010
{'hecke_orbit_code': 687228321903, 'n': 11, 'trace_an': 6}
-
id: 40747011
{'hecke_orbit_code': 687228321903, 'n': 12, 'trace_an': -6}
-
id: 40747012
{'hecke_orbit_code': 687228321903, 'n': 13, 'trace_an': 18}
-
id: 40747013
{'hecke_orbit_code': 687228321903, 'n': 14, 'trace_an': -9}
-
id: 40747014
{'hecke_orbit_code': 687228321903, 'n': 15, 'trace_an': 6}
-
id: 40747015
{'hecke_orbit_code': 687228321903, 'n': 16, 'trace_an': -9}
-
id: 40747016
{'hecke_orbit_code': 687228321903, 'n': 17, 'trace_an': -21}
-
id: 40747017
{'hecke_orbit_code': 687228321903, 'n': 18, 'trace_an': -3}
-
id: 40747018
{'hecke_orbit_code': 687228321903, 'n': 19, 'trace_an': 12}
-
id: 40747019
{'hecke_orbit_code': 687228321903, 'n': 20, 'trace_an': 0}
-
id: 40747020
{'hecke_orbit_code': 687228321903, 'n': 21, 'trace_an': -6}
-
id: 40747021
{'hecke_orbit_code': 687228321903, 'n': 22, 'trace_an': -51}
-
id: 40747022
{'hecke_orbit_code': 687228321903, 'n': 23, 'trace_an': 0}
-
id: 40747023
{'hecke_orbit_code': 687228321903, 'n': 24, 'trace_an': 6}
-
id: 40747024
{'hecke_orbit_code': 687228321903, 'n': 25, 'trace_an': 6}
-
id: 40747025
{'hecke_orbit_code': 687228321903, 'n': 26, 'trace_an': 15}
-
id: 40747026
{'hecke_orbit_code': 687228321903, 'n': 27, 'trace_an': 9}
-
id: 40747027
{'hecke_orbit_code': 687228321903, 'n': 28, 'trace_an': -39}
-
id: 40747028
{'hecke_orbit_code': 687228321903, 'n': 29, 'trace_an': -3}
-
id: 40747029
{'hecke_orbit_code': 687228321903, 'n': 30, 'trace_an': 15}
-
id: 40747030
{'hecke_orbit_code': 687228321903, 'n': 31, 'trace_an': -24}
-
id: 40747031
{'hecke_orbit_code': 687228321903, 'n': 32, 'trace_an': 21}
-
id: 40747032
{'hecke_orbit_code': 687228321903, 'n': 33, 'trace_an': 0}
-
id: 40747033
{'hecke_orbit_code': 687228321903, 'n': 34, 'trace_an': -18}
-
id: 40747034
{'hecke_orbit_code': 687228321903, 'n': 35, 'trace_an': -12}
-
id: 40747035
{'hecke_orbit_code': 687228321903, 'n': 36, 'trace_an': 18}
-
id: 40747036
{'hecke_orbit_code': 687228321903, 'n': 37, 'trace_an': 27}
-
id: 40747037
{'hecke_orbit_code': 687228321903, 'n': 38, 'trace_an': 24}
-
id: 40747038
{'hecke_orbit_code': 687228321903, 'n': 39, 'trace_an': 18}
-
id: 40747039
{'hecke_orbit_code': 687228321903, 'n': 40, 'trace_an': 39}
-
id: 40747040
{'hecke_orbit_code': 687228321903, 'n': 41, 'trace_an': 9}
-
id: 40747041
{'hecke_orbit_code': 687228321903, 'n': 42, 'trace_an': 6}
-
id: 40747042
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