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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': 40, 'char_orbit_label': 'bn', 'char_order': 12, 'char_parity': 1, 'char_values': [390, 12, [131, 157, 301], [12, 3, 1]], 'cm_discs': [], 'conrey_index': 67, 'conrey_indexes': [67, 97, 163, 193], '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, -24000, -7600, 64320, 24124, -136800, 87604, 17400, -33171, -5472, 24326, -17400, 6823, -1680, 262, -24, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4506279720518022, '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, 15, 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.bn.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': 15, 'qexp_display': 'q+(1+\\beta _{14})q^{2}-\\beta _{15}q^{3}+\\beta _{14}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.bn', 'trace_display': [8, 0, 0, 24], 'trace_hash': 2061510593988694385, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.094', 'prec': 17}, {'__RealLiteral__': 0, 'data': '14.448', 'prec': 20}, {'__RealLiteral__': 0, 'data': '9.101', 'prec': 17}, {'__RealLiteral__': 0, 'data': '726.858', 'prec': 24}, {'__RealLiteral__': 0, 'data': '1152.823', 'prec': 27}, {'__RealLiteral__': 0, 'data': '61746.734', 'prec': 30}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.099', 'prec': 17}, 'traces': [16, 8, 0, -8, 0, 0, 24, -16, 0, 0, 12, 0, 8, 0, -8, -8, -4, 0, -4, 0, 0, 0, 4, 0, 4, 4, 0, -24, -48, -4, 16, 8, 16, -20, -12, 0, 12, 4, 4, 0, -12, 0, 20, -12, 8, -4, 0, 0, -4, -16, 0, -4, 32, 0, 16, -24, -8, -48, 4, 4, 4, -4, 4, 16, -8, 32, -28, -16, 4, 0, -36, 0, 32, 12, -24, 8, 4, 20, 0, 0, 8, -24, 0, 0, 52, 16, 36, -12, -24, 4, 0, -8, 0, 36, -40, 0, -4, 4, -12, -20, 12, 24, 36, -8, -12, 4, 68, 0, 8, 44, -24, 0, 48, -4, -28, 0, -16, 32, -64, 8, -12, 8, -24, -20, -48, -4, 24, 8, -40, 32, -32, 16, -4, 28, 12, 4, -12, 8, -12, 12, 4, 0, 68, 0, -12, 16, 8, 0, -72, 0, -120, 4, 4, -40, 56, 16, 8, 0, -36, 0, 32, -8, -16, -12, -40, 12, 84, 0, 24, 80, -4, -4, -80, 24, -16, 0, 0, -84, 8, -4, 0, 24, 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mf_hecke_cc • Show 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': 40, 'char_orbit_label': 'bn', 'char_order': 12, 'char_parity': 1, 'char_values': [390, 12, [131, 157, 301], [12, 3, 1]], 'conrey_index': 67, 'cusp_dim': 304, 'dim': 56, 'eis_dim': 64, 'eis_new_dim': 0, 'hecke_cutter_primes': [7], 'hecke_orbit_code': 2680093147526, 'hecke_orbit_dims': [8, 16, 32], 'label': '390.2.bn', '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': 15, 'relative_dim': 14, 'sturm_bound': 168, 'trace_bound': 1, 'trace_display': [-4, 0, 0, 0], 'traces': [56, -4, 0, -28, 0, 0, 0, 8, 0, 0, -8, 0, 16, 0, -8, -28, 4, 0, 40, 0, 16, 0, -16, 0, -36, 0, 0, 0, 0, 0, 24, -4, 8, -36, 0, 0, 12, 0, -8, 0, -12, 0, 8, -8, 8, 8, 0, 0, 36, -40, 0, -8, 12, 0, 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mf_twists_cc • Show schema
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id: 39275798
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 97, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4506279720518022, 'source_is_minimal': True, 'source_label': '390.2.bn.b.97.1', 'source_level': 390, 'target_conrey_index': 97, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4506279720518022, 'target_is_minimal': True, 'target_label': '390.2.bn.b.97.1', 'target_level': 390, 'twist_class_label': '390.2.bd.b.37.3', 'twist_class_level': 390, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 39275799
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 97, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4506279720518022, 'source_is_minimal': True, 'source_label': '390.2.bn.b.97.1', 'source_level': 390, 'target_conrey_index': 253, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4505592525750662, 'target_is_minimal': True, 'target_label': '390.2.bd.b.253.3', 'target_level': 390, 'twist_class_label': '390.2.bd.b.37.3', 'twist_class_level': 390, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 39275800
{'conductor': 13, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 97, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4506279720518022, 'source_is_minimal': True, 'source_label': '390.2.bn.b.97.1', 'source_level': 390, 'target_conrey_index': 37, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4505592525750662, 'target_is_minimal': True, 'target_label': '390.2.bd.b.37.3', 'target_level': 390, 'twist_class_label': '390.2.bd.b.37.3', 'twist_class_level': 390, 'twisting_char_label': '13.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 39275801
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 97, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4506279720518022, 'source_is_minimal': True, 'source_label': '390.2.bn.b.97.1', 'source_level': 390, 'target_conrey_index': 193, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4506279720518022, 'target_is_minimal': True, 'target_label': '390.2.bn.b.193.1', 'target_level': 390, 'twist_class_label': '390.2.bd.b.37.3', 'twist_class_level': 390, 'twisting_char_label': '65.63', 'twisting_conrey_index': 63, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 816450
{'charpoly_factorization': [[[1, -1, 1], 8]], 'hecke_orbit_code': 4506279720518022, 'p': 2}
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id: 816451
{'charpoly_factorization': [[[1, 0, 0, 0, -1, 0, 0, 0, 1], 2]], 'hecke_orbit_code': 4506279720518022, 'p': 3}
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id: 816452
{'charpoly_factorization': [[[390625, 0, -31250, 50000, 10625, -4000, 4150, 1680, -684, 336, 166, -32, 17, 16, -2, 0, 1], 1]], 'hecke_orbit_code': 4506279720518022, 'p': 5}
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id: 816453
{'charpoly_factorization': [[[10000, -24000, -7600, 64320, 24124, -136800, 87604, 17400, -33171, -5472, 24326, -17400, 6823, -1680, 262, -24, 1], 1]], 'hecke_orbit_code': 4506279720518022, 'p': 7}
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id: 816454
{'charpoly_factorization': [[[10000, -40000, 76400, -93920, 62204, 7056, -46220, 49024, -10611, -14472, 15170, -8148, 2647, -508, 78, -12, 1], 1]], 'hecke_orbit_code': 4506279720518022, 'p': 11}
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id: 816455
{'charpoly_factorization': [[[815730721, -501988136, 96536180, 5940688, -3141710, -755768, 335296, 59592, -49989, 4584, 1984, -344, -110, 16, 20, -8, 1], 1]], 'hecke_orbit_code': 4506279720518022, 'p': 13}
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id: 816456
{'charpoly_factorization': [[[160000, 3648000, 23875200, 24690560, 58222384, 1671584, 16645880, 3043520, 517121, 317960, 18658, -3556, 747, -164, -58, 4, 1], 1]], 'hecke_orbit_code': 4506279720518022, 'p': 17}
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id: 816457
{'charpoly_factorization': [[[16, -640, 8240, -31904, 40892, -19568, 56388, -10024, 8397, -6200, -1098, 380, 47, 68, 26, 4, 1], 1]], 'hecke_orbit_code': 4506279720518022, 'p': 19}
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id: 816458
{'charpoly_factorization': [[[256, 1536, 6912, 54272, 166528, 67968, 231296, -247872, 132336, -51488, 4384, 2160, 104, 64, -28, -4, 1], 1]], 'hecke_orbit_code': 4506279720518022, 'p': 23}
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id: 816459
{'charpoly_factorization': [[[24010000, 547428000, 4144498400, -363760320, -1086348724, 91115664, 257887304, 58444428, -6337787, -3597924, 221134, 353676, 91367, 12576, 1030, 48, 1], 1]], 'hecke_orbit_code': 4506279720518022, 'p': 29}
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id: 816460
{'charpoly_factorization': [[[21827584, 37076992, 31490048, -20484096, 39758336, 39443456, 19253248, 716544, -82160, 46080, 93184, -2432, -280, -192, 128, -16, 1], 1]], 'hecke_orbit_code': 4506279720518022, 'p': 31}
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id: 816461
{'charpoly_factorization': [[[418609, 1840068, -450896, -13833216, 27706890, -21211980, 5899264, 1039956, -732933, -120732, 141184, -28380, -166, 576, 0, -12, 1], 1]], 'hecke_orbit_code': 4506279720518022, 'p': 37}
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id: 816462
{'charpoly_factorization': [[[85264, 8439968, 309518528, 4901273600, 29046200460, 4686933808, 2886782656, 45346396, 36599861, -4227740, -300154, -50288, -4433, 628, 90, 12, 1], 1]], 'hecke_orbit_code': 4506279720518022, 'p': 41}
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id: 816463
{'charpoly_factorization': [[[151388416, 170484224, 556718336, 738572800, 860403328, 735487360, 181346432, -80600768, -18594832, 4335712, 292832, -92464, 20136, -2736, 236, -20, 1], 1]], 'hecke_orbit_code': 4506279720518022, 'p': 43}
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id: 816464
{'charpoly_factorization': [[[610001280825616, 0, 87535060655328, 0, 5094562242680, 0, 157591079336, 0, 2849917329, 0, 31009532, 0, 199086, 0, 692, 0, 1], 1]], 'hecke_orbit_code': 4506279720518022, 'p': 47}
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id: 816465
{'charpoly_factorization': [[[14952153841, 18974766104, 12039795488, -8847310400, 2321339948, -196679528, 498727104, -348973600, 121551318, -23382392, 2807328, -234880, 28172, -4408, 512, -32, 1], 1]], 'hecke_orbit_code': 4506279720518022, 'p': 53}
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id: 816466
{'charpoly_factorization': [[[2922403926016, 1236313292800, 848164462592, 103488069632, -14952850688, -4218497536, -1299274240, -124898944, 25033040, 5907872, 1896992, 266272, -10260, -2400, 8, -4, 1], 1]], 'hecke_orbit_code': 4506279720518022, 'p': 59}
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id: 816467
{'charpoly_factorization': [[[1536975103504, 63266819936, 290949813856, 3097011168, 38815994604, 517345712, 2384015592, 56470908, 105799861, 2276456, 2454586, 22228, 39783, 264, 242, -4, 1], 1]], 'hecke_orbit_code': 4506279720518022, 'p': 61}
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id: 816468
{'charpoly_factorization': [[[2412728463616, 4953895866880, 8101845622528, 4062954092544, 1649513651328, 341230390912, 77152883712, 11917036992, 2259941872, 265644832, 30816256, 2319152, 193416, 11328, 764, 28, 1], 1]], 'hecke_orbit_code': 4506279720518022, 'p': 67}
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id: 816469
{'charpoly_factorization': [[[4377079969526016, 3498131375672832, 1300227849997056, 313754431025664, 54683298516096, 6739762370688, 583870633344, 28684684224, -416929680, -192707424, -18193248, -962064, 11592, 6480, 612, 36, 1], 1]], 'hecke_orbit_code': 4506279720518022, 'p': 71}
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id: 816470
{'charpoly_factorization': [[[-86528, 56576, 14624, -14032, 249, 864, -54, -16, 1], 2]], 'hecke_orbit_code': 4506279720518022, 'p': 73}
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id: 816471
{'charpoly_factorization': [[[243571706822656, 0, 68186777583616, 0, 5955848208384, 0, 231565893632, 0, 4508090624, 0, 47619584, 0, 277152, 0, 832, 0, 1], 1]], 'hecke_orbit_code': 4506279720518022, 'p': 79}
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id: 816472
{'charpoly_factorization': [[[64770304, 0, 153262592, 0, 113498624, 0, 36824960, 0, 5758432, 0, 433120, 0, 15392, 0, 232, 0, 1], 1]], 'hecke_orbit_code': 4506279720518022, 'p': 83}
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id: 816473
{'charpoly_factorization': [[[30073246952464, 66313302000352, 36768634908032, -2160665911936, 1037995867148, -539463007008, 39435311920, -5353835020, 1460615061, 4359432, -7263442, -699312, -37193, 4132, 498, 24, 1], 1]], 'hecke_orbit_code': 4506279720518022, 'p': 89}
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id: 816474
{'charpoly_factorization': [[[344958409179136, -272059312963584, 160932736598016, -46997756035072, 11491508329472, -1666821550080, 251536690176, -22110257280, 3431113488, -195302752, 31532736, -182592, 196092, -80, 528, 4, 1], 1]], 'hecke_orbit_code': 4506279720518022, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 40, 'hecke_orbit': 2, 'label': '390.2.bn.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: 98665000
{'hecke_orbit_code': 4506279720518022, 'n': 1, 'trace_an': 16}
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id: 98665001
{'hecke_orbit_code': 4506279720518022, 'n': 2, 'trace_an': 8}
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id: 98665002
{'hecke_orbit_code': 4506279720518022, 'n': 3, 'trace_an': 0}
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id: 98665003
{'hecke_orbit_code': 4506279720518022, 'n': 4, 'trace_an': -8}
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id: 98665004
{'hecke_orbit_code': 4506279720518022, 'n': 5, 'trace_an': 0}
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id: 98665005
{'hecke_orbit_code': 4506279720518022, 'n': 6, 'trace_an': 0}
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id: 98665006
{'hecke_orbit_code': 4506279720518022, 'n': 7, 'trace_an': 24}
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id: 98665007
{'hecke_orbit_code': 4506279720518022, 'n': 8, 'trace_an': -16}
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id: 98665008
{'hecke_orbit_code': 4506279720518022, 'n': 9, 'trace_an': 0}
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id: 98665009
{'hecke_orbit_code': 4506279720518022, 'n': 10, 'trace_an': 0}
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id: 98665010
{'hecke_orbit_code': 4506279720518022, 'n': 11, 'trace_an': 12}
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id: 98665011
{'hecke_orbit_code': 4506279720518022, 'n': 12, 'trace_an': 0}
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id: 98665012
{'hecke_orbit_code': 4506279720518022, 'n': 13, 'trace_an': 8}
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id: 98665013
{'hecke_orbit_code': 4506279720518022, 'n': 14, 'trace_an': 0}
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id: 98665014
{'hecke_orbit_code': 4506279720518022, 'n': 15, 'trace_an': -8}
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id: 98665015
{'hecke_orbit_code': 4506279720518022, 'n': 16, 'trace_an': -8}
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id: 98665016
{'hecke_orbit_code': 4506279720518022, 'n': 17, 'trace_an': -4}
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id: 98665017
{'hecke_orbit_code': 4506279720518022, 'n': 18, 'trace_an': 0}
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id: 98665018
{'hecke_orbit_code': 4506279720518022, 'n': 19, 'trace_an': -4}
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id: 98665019
{'hecke_orbit_code': 4506279720518022, 'n': 20, 'trace_an': 0}
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id: 98665020
{'hecke_orbit_code': 4506279720518022, 'n': 21, 'trace_an': 0}
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id: 98665021
{'hecke_orbit_code': 4506279720518022, 'n': 22, 'trace_an': 0}
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id: 98665022
{'hecke_orbit_code': 4506279720518022, 'n': 23, 'trace_an': 4}
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id: 98665023
{'hecke_orbit_code': 4506279720518022, 'n': 24, 'trace_an': 0}
-
id: 98665024
{'hecke_orbit_code': 4506279720518022, 'n': 25, 'trace_an': 4}
-
id: 98665025
{'hecke_orbit_code': 4506279720518022, 'n': 26, 'trace_an': 4}
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id: 98665026
{'hecke_orbit_code': 4506279720518022, 'n': 27, 'trace_an': 0}
-
id: 98665027
{'hecke_orbit_code': 4506279720518022, 'n': 28, 'trace_an': -24}
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id: 98665028
{'hecke_orbit_code': 4506279720518022, 'n': 29, 'trace_an': -48}
-
id: 98665029
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