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{'Nk2': 32004, 'analytic_conductor': 63.88830665722644, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [7, 1], [127, 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': [8001, 1, [3557, 1144, 7750], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 16, 'field_disc': 50457760415714648531994640080640, 'field_disc_factorization': [[2, 8], [5, 1], [13, 1], [15093703, 1], [1654759339, 1], [121407078203, 1]], 'field_poly': [-20, -200, 1614, -1882, -3163, 5385, 2075, -5422, -298, 2648, -235, -668, 112, 83, -18, -4, 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, [-20, 200, 1614, 1882, -3163, -5385, 2075, 5422, -298, -2648, -235, 668, 112, -83, -18, 4, 1]], [5, [46352, 247912, 396800, 42868, -397916, -224398, 131760, 120392, -14196, -28542, -1293, 3467, 435, -210, -36, 5, 1]]], 'hecke_orbit': 19, 'hecke_orbit_code': 81064793326231361, 'hecke_ring_generator_nbound': 17, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '8001.2.a.s', 'level': 8001, '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': False, 'level_primes': [3, 7, 127], 'level_radical': 2667, 'minimal_twist': '2667.2.a.n', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{1}q^{2}+(1+\\beta _{2})q^{4}-\\beta _{7}q^{5}-q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 16, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8001.2.a', 'trace_display': [-4, 0, -5, -16], 'trace_hash': 1685192323405995066, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.180', 'prec': 17}, {'__RealLiteral__': 0, 'data': '12.702', 'prec': 20}, {'__RealLiteral__': 0, 'data': '4.353', 'prec': 17}, {'__RealLiteral__': 0, 'data': '463.526', 'prec': 24}, {'__RealLiteral__': 0, 'data': '376.851', 'prec': 24}, {'__RealLiteral__': 0, 'data': '27305.010', 'prec': 30}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.002', 'prec': 17}, 'traces': [16, -4, 0, 20, -5, 0, -16, -15, 0, -4, -1, 0, 20, 4, 0, 32, -3, 0, 13, -17, 0, 13, -5, 0, 17, 2, 0, -20, -22, 0, 26, -54, 0, -6, 5, 0, 30, -5, 0, 13, -1, 0, 31, -22, 0, -2, 1, 0, 16, -5, 0, 31, -24, 0, 8, 15, 0, 13, 17, 0, 32, 5, 0, 61, 3, 0, 16, 10, 0, 4, 10, 0, 23, -1, 0, 18, 1, 0, 48, -38, 0, 12, -9, 0, 22, 4, 0, 27, -17, 0, -20, -16, 0, 13, -22, 0, 17, -4, 0, -32, -20, 0, 6, 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mf_hecke_cc • Show schema
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1, 'embedding_index': 1, 'embedding_m': 1, 'embedding_root_imag': 0.0, 'embedding_root_real': 2.8031710821751457, 'hecke_orbit': 19, 'hecke_orbit_code': 81064793326231361, 'label': '8001.2.a.s.1.1', 'level': 8001, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [32, 30, 40, 22, 47, 48, 43, 52], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [1, 2, 2, 2, 2, 2, 2, 2], 'ALdims_old': [91, 100, 92, 102, 85, 76, 79, 78], 'Nk2': 32004, 'analytic_conductor': 63.88830665722644, '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': [8001, 1, [3557, 1144, 7750], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1017, 'dim': 314, 'eis_dim': 15, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 5], 'hecke_orbit_code': 33562433, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 7, 11, 12, 13, 14, 15, 16, 16, 16, 18, 19, 20, 22, 28, 32, 40], 'label': '8001.2.a', 'level': 8001, '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': False, 'level_primes': [3, 7, 127], 'level_radical': 2667, 'mf_dim': 1032, 'mf_new_dim': 314, 'num_forms': 27, 'plus_dim': 145, 'prim_orbit_index': 1, 'relative_dim': 314, 'sturm_bound': 2048, 'trace_bound': 5, 'trace_display': [0, 0, -4, 0], 'traces': [314, 0, 0, 320, -4, 0, 0, 0, 0, 4, 16, 0, -8, 0, 0, 332, -4, 0, 4, 4, 0, -28, -4, 0, 290, -40, 0, 0, 0, 0, 12, -30, 0, -26, 8, 0, -16, 6, 0, -32, -8, 0, -8, 38, 0, 16, 36, 0, 314, 32, 0, -30, 16, 0, -8, 0, 0, 20, 20, 0, 12, -62, 0, 332, -36, 0, -8, 72, 0, 28, 52, 0, -64, -38, 0, -24, 0, 0, 16, -20, 0, -24, 16, 0, 28, 24, 0, -10, -32, 0, -4, -52, 0, 40, -44, 0, -108, 0, 0, 344, -12, 0, -48, -90, 0, 28, 84, 0, 8, 64, 0, 32, 16, 0, -68, -40, 0, -32, -4, 0, 302, 74, 0, 0, -24, 0, -10, 24, 0, 36, 16, 0, 24, 44, 0, 88, 20, 0, -20, 20, 0, 150, -56, 0, 8, -148, 0, 56, 52, 0, -48, 28, 0, 0, 112, 0, -68, 180, 0, -112, 16, 0, -84, 2, 0, 24, 4, 0, 354, -28, 0, -48, -44, 0, 16, 188, 0, 12, 12, 0, 36, -36, 0, 108, 20, 0, -68, 162, 0, -68, -20, 0, 20, 88, 0, 320, 24, 0, -56, -8, 0, -92, 24, 0, -4, -144, 0, -32, 120, 0, -56, -16, 0, 14, 60, 0, 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mf_twists_cc • Show schema
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id: 48204484
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81064793326231361, 'source_is_minimal': False, 'source_label': '8001.2.a.s.1.1', 'source_level': 8001, 'target_conrey_index': 1, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 81064793326231361, 'target_is_minimal': False, 'target_label': '8001.2.a.s.1.1', 'target_level': 8001, 'twist_class_label': '2667.2.a.n.1.16', 'twist_class_level': 2667, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48204485
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81064793326231361, 'source_is_minimal': False, 'source_label': '8001.2.a.s.1.1', 'source_level': 8001, 'target_conrey_index': 1, 'target_dim': 16, 'target_embedding_index': 16, 'target_hecke_orbit_code': 58546795189373547, 'target_is_minimal': True, 'target_label': '2667.2.a.n.1.16', 'target_level': 2667, 'twist_class_label': '2667.2.a.n.1.16', 'twist_class_level': 2667, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4632675
{'charpoly_factorization': [[[-20, 200, 1614, 1882, -3163, -5385, 2075, 5422, -298, -2648, -235, 668, 112, -83, -18, 4, 1], 1]], 'hecke_orbit_code': 81064793326231361, 'p': 2}
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id: 4632676
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 81064793326231361, 'p': 3}
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id: 4632677
{'charpoly_factorization': [[[46352, 247912, 396800, 42868, -397916, -224398, 131760, 120392, -14196, -28542, -1293, 3467, 435, -210, -36, 5, 1], 1]], 'hecke_orbit_code': 81064793326231361, 'p': 5}
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id: 4632678
{'charpoly_factorization': [[[1, 1], 16]], 'hecke_orbit_code': 81064793326231361, 'p': 7}
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id: 4632679
{'charpoly_factorization': [[[-4096, -11264, 286720, -862080, 561600, 668304, -726544, -128752, 253096, 192, -37043, 1262, 2597, -69, -84, 1, 1], 1]], 'hecke_orbit_code': 81064793326231361, 'p': 11}
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id: 4632680
{'charpoly_factorization': [[[-143360, 1585152, 2738176, -15951104, 17946368, -3490400, -5878320, 3538768, 21216, -529930, 124987, 13322, -8753, 874, 82, -20, 1], 1]], 'hecke_orbit_code': 81064793326231361, 'p': 13}
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id: 4632681
{'charpoly_factorization': [[[-27287872, 7666368, 276752368, 148829152, -204008404, -155860720, 2122349, 22540878, 2728431, -1354498, -244130, 40033, 8958, -568, -153, 3, 1], 1]], 'hecke_orbit_code': 81064793326231361, 'p': 17}
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id: 4632682
{'charpoly_factorization': [[[-59975840, -126001240, 387923792, -152497356, -148431844, 86231342, 22158002, -16272394, -1529644, 1442632, 30943, -65654, 1516, 1478, -80, -13, 1], 1]], 'hecke_orbit_code': 81064793326231361, 'p': 19}
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id: 4632683
{'charpoly_factorization': [[[-92323840, 74818752, 524148032, 330790768, -205430368, -218588028, -7829180, 32643952, 4413556, -2100942, -355035, 66044, 12139, -969, -186, 5, 1], 1]], 'hecke_orbit_code': 81064793326231361, 'p': 23}
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id: 4632684
{'charpoly_factorization': [[[-265579040, 310167920, 387045072, -292116496, -224099764, 86325472, 61134227, -8239912, -7900481, -43746, 475519, 41756, -11776, -1804, 58, 22, 1], 1]], 'hecke_orbit_code': 81064793326231361, 'p': 29}
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id: 4632685
{'charpoly_factorization': [[[-2220064768, -3714553984, 2884376320, 4693594224, -1651682632, -1441946074, 557645614, 96703040, -55543448, 448452, 2038323, -165346, -27762, 3885, 48, -26, 1], 1]], 'hecke_orbit_code': 81064793326231361, 'p': 31}
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id: 4632686
{'charpoly_factorization': [[[2281961720, -2457379980, -5440093684, 2738674004, 1798707752, -1067836704, -97855071, 137744598, -13400566, -5969555, 1256269, 48938, -32507, 1977, 214, -30, 1], 1]], 'hecke_orbit_code': 81064793326231361, 'p': 37}
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id: 4632687
{'charpoly_factorization': [[[6198211456, 5061204736, -4583186720, -3158258896, 1560932864, 684255130, -280575735, -63674447, 25776102, 2664910, -1202560, -44056, 27323, 138, -275, 1, 1], 1]], 'hecke_orbit_code': 81064793326231361, 'p': 41}
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id: 4632688
{'charpoly_factorization': [[[-270850329856, 796337972672, -549726886976, 79090202464, 50367532336, -19026830772, 23557740, 969715232, -122134260, -16227304, 4373947, -65142, -55787, 4325, 164, -31, 1], 1]], 'hecke_orbit_code': 81064793326231361, 'p': 43}
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id: 4632689
{'charpoly_factorization': [[[-80836384768, -76373551264, 43441489056, 49679000768, -1307082184, -8456898534, -796150660, 583875536, 87168336, -17646480, -3423005, 207877, 56260, -645, -392, -1, 1], 1]], 'hecke_orbit_code': 81064793326231361, 'p': 47}
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id: 4632690
{'charpoly_factorization': [[[3330453274336, 266174831760, -2732186959424, -1440170393912, -71508188512, 112052595120, 24248021647, -1347958393, -906195881, -56567522, 10423500, 1336661, -24934, -9794, -225, 24, 1], 1]], 'hecke_orbit_code': 81064793326231361, 'p': 53}
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id: 4632691
{'charpoly_factorization': [[[2877741056, -2104027648, -3575985408, 3941108224, -132775872, -1094722208, 348450348, 49269828, -37385154, 2853792, 1130067, -190940, -7629, 3243, -98, -17, 1], 1]], 'hecke_orbit_code': 81064793326231361, 'p': 59}
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id: 4632692
{'charpoly_factorization': [[[9236458496, -33411940352, 38587323392, -15145636224, -4090670400, 5904678680, -2019899068, 144145184, 88914990, -26132826, 1925931, 302924, -68154, 3489, 230, -32, 1], 1]], 'hecke_orbit_code': 81064793326231361, 'p': 61}
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id: 4632693
{'charpoly_factorization': [[[5716113605888, -9577606936128, 4994099126336, -263776173632, -518652263552, 110249099280, 15997004748, -5855481496, -94042410, 132182930, -3613455, -1462715, 68586, 7800, -444, -16, 1], 1]], 'hecke_orbit_code': 81064793326231361, 'p': 67}
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id: 4632694
{'charpoly_factorization': [[[4708249600, 4130234560, -26016842560, -53854787232, -40221276768, -12289946288, 10996052, 897806512, 154931894, -13536866, -5266527, -68621, 67532, 2235, -403, -10, 1], 1]], 'hecke_orbit_code': 81064793326231361, 'p': 71}
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id: 4632695
{'charpoly_factorization': [[[-30744464128, -2070684395520, 1292312728000, 478025811712, -367590595440, -10172106464, 30522086668, -2443796756, -871940302, 120354976, 7729215, -1811716, 4869, 10927, -324, -23, 1], 1]], 'hecke_orbit_code': 81064793326231361, 'p': 73}
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id: 4632696
{'charpoly_factorization': [[[1732480000, 45047124160, -74333528480, -1434337488, 40044706824, -8439587464, -6119774643, 2108505257, 167319982, -142258268, 15614977, 689437, -214427, 8582, 526, -48, 1], 1]], 'hecke_orbit_code': 81064793326231361, 'p': 79}
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id: 4632697
{'charpoly_factorization': [[[6896650240, -61449116160, 126597341952, -86983008256, 1327247360, 18997302208, -4701066912, -620007744, 279325048, 194766, -6305681, 198040, 70366, -2454, -406, 9, 1], 1]], 'hecke_orbit_code': 81064793326231361, 'p': 83}
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id: 4632698
{'charpoly_factorization': [[[550072064, -1213654784, -8870724832, 1430513264, 11233982796, 6251380018, 202721414, -816888652, -263197438, -20368336, 4121769, 793480, 5853, -6712, -297, 17, 1], 1]], 'hecke_orbit_code': 81064793326231361, 'p': 89}
-
id: 4632699
{'charpoly_factorization': [[[-24693460838972, 10074310186226, 11369341994086, -5106204045108, -906256851328, 497966894564, 17097439689, -19028628880, 347594659, 332573188, -13732100, -2814943, 146220, 11246, -639, -17, 1], 1]], 'hecke_orbit_code': 81064793326231361, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 19, 'label': '8001.2.a.s', 'level': 8001, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 63273445
{'hecke_orbit_code': 81064793326231361, 'n': 1, 'trace_an': 16}
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id: 63273446
{'hecke_orbit_code': 81064793326231361, 'n': 2, 'trace_an': -4}
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id: 63273447
{'hecke_orbit_code': 81064793326231361, 'n': 3, 'trace_an': 0}
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id: 63273448
{'hecke_orbit_code': 81064793326231361, 'n': 4, 'trace_an': 20}
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id: 63273449
{'hecke_orbit_code': 81064793326231361, 'n': 5, 'trace_an': -5}
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id: 63273450
{'hecke_orbit_code': 81064793326231361, 'n': 6, 'trace_an': 0}
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id: 63273451
{'hecke_orbit_code': 81064793326231361, 'n': 7, 'trace_an': -16}
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id: 63273452
{'hecke_orbit_code': 81064793326231361, 'n': 8, 'trace_an': -15}
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id: 63273453
{'hecke_orbit_code': 81064793326231361, 'n': 9, 'trace_an': 0}
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id: 63273454
{'hecke_orbit_code': 81064793326231361, 'n': 10, 'trace_an': -4}
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id: 63273455
{'hecke_orbit_code': 81064793326231361, 'n': 11, 'trace_an': -1}
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id: 63273456
{'hecke_orbit_code': 81064793326231361, 'n': 12, 'trace_an': 0}
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id: 63273457
{'hecke_orbit_code': 81064793326231361, 'n': 13, 'trace_an': 20}
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id: 63273458
{'hecke_orbit_code': 81064793326231361, 'n': 14, 'trace_an': 4}
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id: 63273459
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