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mf_newforms • Show schema
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{'Nk2': 1560, 'analytic_conductor': 3.114165678829935, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 65, 'char_degree': 4, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 30, 'char_orbit_label': 'bd', 'char_order': 12, 'char_parity': 1, 'char_values': [390, 12, [131, 157, 301], [12, 3, 11]], 'cm_discs': [], 'conrey_index': 7, 'conrey_indexes': [7, 37, 223, 253], 'dim': 16, 'field_disc': 88982531009962573824, 'field_disc_factorization': [[2, 32], [3, 8], [1777, 2]], 'field_poly': [4, -40, 164, -344, 390, -336, 358, -180, 351, -176, 118, -24, 67, -48, 12, -4, 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': [[7, [10000, -48000, 151600, -283840, 394684, -365616, 265708, -135336, 61357, -20900, 8098, -2152, 695, -112, 34, -4, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4505592525750662, 'hecke_ring_generator_nbound': 7, '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, 65, 20, 1, 12, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '390.2.bd.b', 'level': 390, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 5, 13], 'level_radical': 390, 'minimal_twist': '390.2.bd.b', 'prim_orbit_index': 20, 'qexp_display': 'q+(\\beta _{5}-\\beta _{13})q^{2}+\\beta _{2}q^{3}+(1+\\beta _{14}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c12', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '390.2.bd', 'trace_display': [0, 0, 4, 4], 'trace_hash': 23889357532289656, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.024', 'prec': 17}, {'__RealLiteral__': 0, 'data': '14.173', 'prec': 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mf_hecke_cc • Show schema
Hide schema
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-
mf_newspaces • Show schema
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{'Nk2': 1560, 'analytic_conductor': 3.114165678829935, 'char_conductor': 65, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 30, 'char_orbit_label': 'bd', 'char_order': 12, 'char_parity': 1, 'char_values': [390, 12, [131, 157, 301], [12, 3, 11]], 'conrey_index': 7, 'cusp_dim': 304, 'dim': 56, 'eis_dim': 64, 'eis_new_dim': 0, 'hecke_cutter_primes': [7], 'hecke_orbit_code': 1992898380166, 'hecke_orbit_dims': [8, 16, 32], 'label': '390.2.bd', 'level': 390, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 5, 13], 'level_radical': 390, 'mf_dim': 368, 'mf_new_dim': 56, 'num_forms': 3, 'prim_orbit_index': 20, 'relative_dim': 14, 'sturm_bound': 168, 'trace_bound': 1, 'trace_display': [0, 0, 4, 0], 'traces': [56, 0, 0, 28, 4, 0, 0, 0, 0, 0, -8, 0, 12, 0, 8, -28, 8, 8, -40, -4, 16, 0, 16, 0, 36, 0, 0, 0, 0, 0, 24, 0, -24, 36, 0, 0, 48, 0, 8, 0, -12, 0, -8, 8, 0, 8, -48, 0, -36, 32, 0, 0, 12, 0, -88, 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mf_twists_cc • Show schema
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id: 38675882
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 223, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4505592525750662, 'source_is_minimal': True, 'source_label': '390.2.bd.b.223.1', 'source_level': 390, 'target_conrey_index': 223, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4505592525750662, 'target_is_minimal': True, 'target_label': '390.2.bd.b.223.1', 'target_level': 390, 'twist_class_label': '390.2.bd.b.7.1', 'twist_class_level': 390, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 38675883
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 223, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4505592525750662, 'source_is_minimal': True, 'source_label': '390.2.bd.b.223.1', 'source_level': 390, 'target_conrey_index': 67, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4506279720518022, 'target_is_minimal': True, 'target_label': '390.2.bn.b.67.4', 'target_level': 390, 'twist_class_label': '390.2.bd.b.7.1', 'twist_class_level': 390, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 38675884
{'conductor': 13, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 223, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4505592525750662, 'source_is_minimal': True, 'source_label': '390.2.bd.b.223.1', 'source_level': 390, 'target_conrey_index': 163, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4506279720518022, 'target_is_minimal': True, 'target_label': '390.2.bn.b.163.4', 'target_level': 390, 'twist_class_label': '390.2.bd.b.7.1', 'twist_class_level': 390, 'twisting_char_label': '13.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 38675885
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 223, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4505592525750662, 'source_is_minimal': True, 'source_label': '390.2.bd.b.223.1', 'source_level': 390, 'target_conrey_index': 7, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4505592525750662, 'target_is_minimal': True, 'target_label': '390.2.bd.b.7.1', 'target_level': 390, 'twist_class_label': '390.2.bd.b.7.1', 'twist_class_level': 390, 'twisting_char_label': '65.7', 'twisting_conrey_index': 7, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 816325
{'charpoly_factorization': [[[1, 0, -1, 0, 1], 4]], 'hecke_orbit_code': 4505592525750662, 'p': 2}
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id: 816326
{'charpoly_factorization': [[[1, 0, 0, 0, -1, 0, 0, 0, 1], 2]], 'hecke_orbit_code': 4505592525750662, 'p': 3}
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id: 816327
{'charpoly_factorization': [[[390625, -312500, 156250, -50000, 20625, -8000, 1250, -620, 116, -124, 50, -64, 33, -16, 10, -4, 1], 1]], 'hecke_orbit_code': 4505592525750662, 'p': 5}
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id: 816328
{'charpoly_factorization': [[[10000, -48000, 151600, -283840, 394684, -365616, 265708, -135336, 61357, -20900, 8098, -2152, 695, -112, 34, -4, 1], 1]], 'hecke_orbit_code': 4505592525750662, 'p': 7}
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id: 816329
{'charpoly_factorization': [[[10000, -40000, 76400, -93920, 62204, 7056, -46220, 49024, -10611, -14472, 15170, -8148, 2647, -508, 78, -12, 1], 1]], 'hecke_orbit_code': 4505592525750662, 'p': 11}
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id: 816330
{'charpoly_factorization': [[[815730721, 501988136, 212379596, 47525504, 7825714, -615160, -508352, -254904, -59973, -19608, -3008, -280, 274, 128, 44, 8, 1], 1]], 'hecke_orbit_code': 4505592525750662, 'p': 13}
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id: 816331
{'charpoly_factorization': [[[160000, 1152000, 21859200, 25018240, -36464336, -18935456, 39994664, -22596872, 7598177, -2036876, 469702, -87308, 13515, -1828, 194, -16, 1], 1]], 'hecke_orbit_code': 4505592525750662, 'p': 17}
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id: 816332
{'charpoly_factorization': [[[16, 640, 8240, 31904, 40892, 19568, 56388, 10024, 8397, 6200, -1098, -380, 47, -68, 26, -4, 1], 1]], 'hecke_orbit_code': 4505592525750662, 'p': 19}
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id: 816333
{'charpoly_factorization': [[[256, -1536, 2304, -26624, 83584, 328320, 95360, -181440, 58608, -21088, -1568, 2832, 680, 224, 44, 4, 1], 1]], 'hecke_orbit_code': 4505592525750662, 'p': 23}
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id: 816334
{'charpoly_factorization': [[[24010000, -547428000, 4144498400, 363760320, -1086348724, -91115664, 257887304, -58444428, -6337787, 3597924, 221134, -353676, 91367, -12576, 1030, -48, 1], 1]], 'hecke_orbit_code': 4505592525750662, 'p': 29}
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id: 816335
{'charpoly_factorization': [[[21827584, 37076992, 31490048, -20484096, 39758336, 39443456, 19253248, 716544, -82160, 46080, 93184, -2432, -280, -192, 128, -16, 1], 1]], 'hecke_orbit_code': 4505592525750662, 'p': 31}
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id: 816336
{'charpoly_factorization': [[[418609, -2828684, 14052256, -27203400, 36719082, -30957620, 19748160, -8975196, 3378907, -1013060, 284608, -67180, 14394, -2232, 272, -20, 1], 1]], 'hecke_orbit_code': 4505592525750662, 'p': 37}
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id: 816337
{'charpoly_factorization': [[[85264, 8439968, 309518528, 4901273600, 29046200460, 4686933808, 2886782656, 45346396, 36599861, -4227740, -300154, -50288, -4433, 628, 90, 12, 1], 1]], 'hecke_orbit_code': 4505592525750662, 'p': 41}
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id: 816338
{'charpoly_factorization': [[[151388416, -54728192, -450831616, -18336256, 387656320, 312799616, 326938496, 22172480, 27263984, -1642144, 752672, -40880, -10392, 816, -28, -4, 1], 1]], 'hecke_orbit_code': 4505592525750662, 'p': 43}
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id: 816339
{'charpoly_factorization': [[[-24698204, -237888, 1770948, 103168, -38651, -3888, 166, 32, 1], 2]], 'hecke_orbit_code': 4505592525750662, 'p': 47}
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id: 816340
{'charpoly_factorization': [[[14952153841, 18974766104, 12039795488, -8847310400, 2321339948, -196679528, 498727104, -348973600, 121551318, -23382392, 2807328, -234880, 28172, -4408, 512, -32, 1], 1]], 'hecke_orbit_code': 4505592525750662, 'p': 53}
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id: 816341
{'charpoly_factorization': [[[2922403926016, -1236313292800, 848164462592, -103488069632, -14952850688, 4218497536, -1299274240, 124898944, 25033040, -5907872, 1896992, -266272, -10260, 2400, 8, 4, 1], 1]], 'hecke_orbit_code': 4505592525750662, 'p': 59}
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id: 816342
{'charpoly_factorization': [[[1536975103504, 63266819936, 290949813856, 3097011168, 38815994604, 517345712, 2384015592, 56470908, 105799861, 2276456, 2454586, 22228, 39783, 264, 242, -4, 1], 1]], 'hecke_orbit_code': 4505592525750662, 'p': 61}
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id: 816343
{'charpoly_factorization': [[[2412728463616, -5725623025152, 3777618674944, 1783429452288, -279400635264, -185792942208, 42907273216, 2672756928, -924111120, -38606496, 12907264, 741744, -72184, -5616, 276, 36, 1], 1]], 'hecke_orbit_code': 4505592525750662, 'p': 67}
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id: 816344
{'charpoly_factorization': [[[4377079969526016, 3498131375672832, 1300227849997056, 313754431025664, 54683298516096, 6739762370688, 583870633344, 28684684224, -416929680, -192707424, -18193248, -962064, 11592, 6480, 612, 36, 1], 1]], 'hecke_orbit_code': 4505592525750662, 'p': 71}
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id: 816345
{'charpoly_factorization': [[[7487094784, 0, 5731614720, 0, 1758519296, 0, 278032576, 0, 24367281, 0, 1193164, 0, 31062, 0, 364, 0, 1], 1]], 'hecke_orbit_code': 4505592525750662, 'p': 73}
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id: 816346
{'charpoly_factorization': [[[243571706822656, 0, 68186777583616, 0, 5955848208384, 0, 231565893632, 0, 4508090624, 0, 47619584, 0, 277152, 0, 832, 0, 1], 1]], 'hecke_orbit_code': 4505592525750662, 'p': 79}
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id: 816347
{'charpoly_factorization': [[[-8048, 12576, -304, -4944, 680, 504, -44, -12, 1], 2]], 'hecke_orbit_code': 4505592525750662, 'p': 83}
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id: 816348
{'charpoly_factorization': [[[30073246952464, -66313302000352, 36768634908032, 2160665911936, 1037995867148, 539463007008, 39435311920, 5353835020, 1460615061, -4359432, -7263442, 699312, -37193, -4132, 498, -24, 1], 1]], 'hecke_orbit_code': 4505592525750662, 'p': 89}
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id: 816349
{'charpoly_factorization': [[[344958409179136, 59067667120128, -48592731242496, -8897886093312, 7019350350848, -739496343552, -119624415232, 21569203584, 2159005968, -673633440, 40979840, 1414176, -195396, -4800, 1280, -60, 1], 1]], 'hecke_orbit_code': 4505592525750662, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 30, 'hecke_orbit': 2, 'label': '390.2.bd.b', 'level': 390, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 97576000
{'hecke_orbit_code': 4505592525750662, 'n': 1, 'trace_an': 16}
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id: 97576001
{'hecke_orbit_code': 4505592525750662, 'n': 2, 'trace_an': 0}
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id: 97576002
{'hecke_orbit_code': 4505592525750662, 'n': 3, 'trace_an': 0}
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id: 97576003
{'hecke_orbit_code': 4505592525750662, 'n': 4, 'trace_an': 8}
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id: 97576004
{'hecke_orbit_code': 4505592525750662, 'n': 5, 'trace_an': 4}
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id: 97576005
{'hecke_orbit_code': 4505592525750662, 'n': 6, 'trace_an': 0}
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id: 97576006
{'hecke_orbit_code': 4505592525750662, 'n': 7, 'trace_an': 4}
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id: 97576007
{'hecke_orbit_code': 4505592525750662, 'n': 8, 'trace_an': 0}
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id: 97576008
{'hecke_orbit_code': 4505592525750662, 'n': 9, 'trace_an': 0}
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id: 97576009
{'hecke_orbit_code': 4505592525750662, 'n': 10, 'trace_an': 0}
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id: 97576010
{'hecke_orbit_code': 4505592525750662, 'n': 11, 'trace_an': 12}
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id: 97576011
{'hecke_orbit_code': 4505592525750662, 'n': 12, 'trace_an': 0}
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id: 97576012
{'hecke_orbit_code': 4505592525750662, 'n': 13, 'trace_an': -8}
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id: 97576013
{'hecke_orbit_code': 4505592525750662, 'n': 14, 'trace_an': 0}
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id: 97576014
{'hecke_orbit_code': 4505592525750662, 'n': 15, 'trace_an': 12}
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id: 97576015
{'hecke_orbit_code': 4505592525750662, 'n': 16, 'trace_an': -8}
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id: 97576016
{'hecke_orbit_code': 4505592525750662, 'n': 17, 'trace_an': 16}
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id: 97576017
{'hecke_orbit_code': 4505592525750662, 'n': 18, 'trace_an': -16}
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id: 97576018
{'hecke_orbit_code': 4505592525750662, 'n': 19, 'trace_an': 4}
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id: 97576019
{'hecke_orbit_code': 4505592525750662, 'n': 20, 'trace_an': -4}
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id: 97576020
{'hecke_orbit_code': 4505592525750662, 'n': 21, 'trace_an': 0}
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id: 97576021
{'hecke_orbit_code': 4505592525750662, 'n': 22, 'trace_an': -12}
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id: 97576022
{'hecke_orbit_code': 4505592525750662, 'n': 23, 'trace_an': -4}
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id: 97576023
{'hecke_orbit_code': 4505592525750662, 'n': 24, 'trace_an': 0}
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id: 97576024
{'hecke_orbit_code': 4505592525750662, 'n': 25, 'trace_an': -4}
-
id: 97576025
{'hecke_orbit_code': 4505592525750662, 'n': 26, 'trace_an': 4}
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id: 97576026
{'hecke_orbit_code': 4505592525750662, 'n': 27, 'trace_an': 0}
-
id: 97576027
{'hecke_orbit_code': 4505592525750662, 'n': 28, 'trace_an': -4}
-
id: 97576028
{'hecke_orbit_code': 4505592525750662, 'n': 29, 'trace_an': 48}
-
id: 97576029
{'hecke_orbit_code': 4505592525750662, 'n': 30, 'trace_an': -8}
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id: 97576030
{'hecke_orbit_code': 4505592525750662, 'n': 31, 'trace_an': 16}
-
id: 97576031
{'hecke_orbit_code': 4505592525750662, 'n': 32, 'trace_an': 0}
-
id: 97576032
{'hecke_orbit_code': 4505592525750662, 'n': 33, 'trace_an': 0}
-
id: 97576033
{'hecke_orbit_code': 4505592525750662, 'n': 34, 'trace_an': 20}
-
id: 97576034
{'hecke_orbit_code': 4505592525750662, 'n': 35, 'trace_an': 12}
-
id: 97576035
{'hecke_orbit_code': 4505592525750662, 'n': 36, 'trace_an': 0}
-
id: 97576036
{'hecke_orbit_code': 4505592525750662, 'n': 37, 'trace_an': 20}
-
id: 97576037
{'hecke_orbit_code': 4505592525750662, 'n': 38, 'trace_an': -4}
-
id: 97576038
{'hecke_orbit_code': 4505592525750662, 'n': 39, 'trace_an': -4}
-
id: 97576039
{'hecke_orbit_code': 4505592525750662, 'n': 40, 'trace_an': 0}
-
id: 97576040
{'hecke_orbit_code': 4505592525750662, 'n': 41, 'trace_an': -12}
-
id: 97576041
{'hecke_orbit_code': 4505592525750662, 'n': 42, 'trace_an': 0}
-
id: 97576042
{'hecke_orbit_code': 4505592525750662, 'n': 43, 'trace_an': 4}
-
id: 97576043
{'hecke_orbit_code': 4505592525750662, 'n': 44, 'trace_an': 12}
-
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