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{'Nk2': 32016, 'analytic_conductor': 63.91226177783282, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, 1], [23, -1], [29, -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': [8004, 1, [4003, 2669, 3133, 553], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 16, 'field_disc': 4484918106827654037689466724287301632, 'field_disc_factorization': [[2, 11], [3, 5], [17, 1], [157, 1], [57557, 1], [58663985984934622242611, 1]], 'field_poly': [-208, 72, 14352, -17844, -138024, 172218, 60168, -121665, -137, 32512, -3483, -4048, 634, 234, -43, -5, 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': [[5, [-208, 72, 14352, -17844, -138024, 172218, 60168, -121665, -137, 32512, -3483, -4048, 634, 234, -43, -5, 1]], [7, [-1420576, -1621888, 2367696, 3019440, -1161776, -1972024, 124216, 599660, 48966, -91842, -14299, 7244, 1440, -277, -63, 4, 1]]], 'hecke_orbit': 9, 'hecke_orbit_code': 36028797052526404, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '8004.2.a.i', 'level': 8004, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 23, 29], 'level_radical': 4002, 'minimal_twist': '8004.2.a.i', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{3}+\\beta _{1}q^{5}-\\beta _{12}q^{7}+q^{9}-\\beta _{4}q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 16, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8004.2.a', 'trace_display': [0, -16, 5, -4], 'trace_hash': 1562085356532286979, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.006', 'prec': 17}, {'__RealLiteral__': 0, 'data': '13.172', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.220', 'prec': 17}, {'__RealLiteral__': 0, 'data': '511.302', 'prec': 24}, {'__RealLiteral__': 0, 'data': '98.658', 'prec': 20}, {'__RealLiteral__': 0, 'data': '31002.559', 'prec': 30}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 'traces': [16, 0, -16, 0, 5, 0, -4, 0, 16, 0, 5, 0, 8, 0, -5, 0, 7, 0, 1, 0, 4, 0, 16, 0, 31, 0, -16, 0, 16, 0, -2, 0, -5, 0, 5, 0, 14, 0, -8, 0, -1, 0, -13, 0, 5, 0, -4, 0, 30, 0, -7, 0, 19, 0, -37, 0, -1, 0, 12, 0, 21, 0, -4, 0, 26, 0, -11, 0, -16, 0, 7, 0, -13, 0, -31, 0, 4, 0, -18, 0, 16, 0, 25, 0, 48, 0, -16, 0, 12, 0, -11, 0, 2, 0, -1, 0, 5, 0, 5, 0, -21, 0, -28, 0, -5, 0, 37, 0, 31, 0, -14, 0, 36, 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{'AL_dims': [[[[2, -1], [3, -1], [23, -1], [29, -1]], 8, 1], [[[2, -1], [3, -1], [23, -1], [29, 1]], 16, 1], [[[2, -1], [3, -1], [23, 1], [29, -1]], 18, 1], [[[2, -1], [3, 1], [23, 1], [29, 1]], 14, 2], [[[2, -1], [3, 1], [23, -1], [29, -1]], 16, 1], [[[2, -1], [3, 1], [23, 1], [29, -1]], 10, 2], [[[2, -1], [3, 1], [23, -1], [29, 1]], 12, 1], [[[2, -1], [3, -1], [23, 1], [29, 1]], 10, 2]], 'ALdims': [0, 0, 0, 0, 0, 0, 0, 0, 14, 10, 12, 16, 10, 18, 16, 8], 'Nk2': 32016, 'analytic_conductor': 63.91226177783282, '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': [8004, 1, [4003, 2669, 3133, 553], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1429, 'dim': 104, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7], 'hecke_orbit_code': 33562436, 'hecke_orbit_dims': [1, 1, 1, 8, 9, 9, 12, 13, 16, 16, 18], 'label': '8004.2.a', 'level': 8004, 'level_is_prime': False, 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mf_twists_cc • Show schema
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{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 16, 'source_embedding_index': 12, 'source_hecke_orbit_code': 36028797052526404, 'source_is_minimal': True, 'source_label': '8004.2.a.i.1.12', 'source_level': 8004, 'target_conrey_index': 1, 'target_dim': 16, 'target_embedding_index': 12, 'target_hecke_orbit_code': 36028797052526404, 'target_is_minimal': True, 'target_label': '8004.2.a.i.1.12', 'target_level': 8004, 'twist_class_label': '8004.2.a.i.1.12', 'twist_class_level': 8004, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4632850
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 36028797052526404, 'p': 2}
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id: 4632851
{'charpoly_factorization': [[[1, 1], 16]], 'hecke_orbit_code': 36028797052526404, 'p': 3}
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id: 4632852
{'charpoly_factorization': [[[-208, 72, 14352, -17844, -138024, 172218, 60168, -121665, -137, 32512, -3483, -4048, 634, 234, -43, -5, 1], 1]], 'hecke_orbit_code': 36028797052526404, 'p': 5}
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id: 4632853
{'charpoly_factorization': [[[-1420576, -1621888, 2367696, 3019440, -1161776, -1972024, 124216, 599660, 48966, -91842, -14299, 7244, 1440, -277, -63, 4, 1], 1]], 'hecke_orbit_code': 36028797052526404, 'p': 7}
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id: 4632854
{'charpoly_factorization': [[[-211968, 198912, 3673576, -397328, -9395570, 6335456, 1851269, -2212563, 28441, 292167, -32133, -17826, 2784, 493, -90, -5, 1], 1]], 'hecke_orbit_code': 36028797052526404, 'p': 11}
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id: 4632855
{'charpoly_factorization': [[[-52214944, 2843184, 250861204, -122931304, -129928985, 84743050, 13390555, -15366197, 121954, 1251051, -87131, -51535, 5114, 1039, -120, -8, 1], 1]], 'hecke_orbit_code': 36028797052526404, 'p': 13}
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id: 4632856
{'charpoly_factorization': [[[1623072768, 3339657216, -1517934080, -2456117760, 503901152, 558021728, -86191850, -57843218, 8111505, 3116876, -427315, -89258, 12319, 1269, -178, -7, 1], 1]], 'hecke_orbit_code': 36028797052526404, 'p': 17}
-
id: 4632857
{'charpoly_factorization': [[[-1855731712, 593961984, 5592510976, 4127068224, 149879600, -748126760, -167328940, 47895038, 16569134, -1359033, -734851, 15191, 17117, 13, -205, -1, 1], 1]], 'hecke_orbit_code': 36028797052526404, 'p': 19}
-
id: 4632858
{'charpoly_factorization': [[[-1, 1], 16]], 'hecke_orbit_code': 36028797052526404, 'p': 23}
-
id: 4632859
{'charpoly_factorization': [[[-1, 1], 16]], 'hecke_orbit_code': 36028797052526404, 'p': 29}
-
id: 4632860
{'charpoly_factorization': [[[-5833216, 15487104, 139669360, 66657512, -121577708, -78171354, 25274110, 24028821, 814346, -2148925, -302300, 63161, 12631, -685, -192, 2, 1], 1]], 'hecke_orbit_code': 36028797052526404, 'p': 31}
-
id: 4632861
{'charpoly_factorization': [[[-258933952, -764298912, 611468596, 1170475478, -1128972376, 21761409, 236799364, -51245460, -14615936, 5036474, 252639, -186222, 4275, 2843, -159, -14, 1], 1]], 'hecke_orbit_code': 36028797052526404, 'p': 37}
-
id: 4632862
{'charpoly_factorization': [[[254378586688, -373275066080, -194027287168, 97088060912, 39180381628, -9202636234, -3418940164, 423677627, 154416507, -10169934, -3848753, 123476, 52642, -656, -365, 1, 1], 1]], 'hecke_orbit_code': 36028797052526404, 'p': 41}
-
id: 4632863
{'charpoly_factorization': [[[19590801152, -17560930432, -11642184256, 8746066080, 2536509072, -1648049688, -278496580, 154181354, 17627454, -7766579, -688419, 210389, 16454, -2787, -212, 13, 1], 1]], 'hecke_orbit_code': 36028797052526404, 'p': 43}
-
id: 4632864
{'charpoly_factorization': [[[241789371392, 338556414464, -275408458368, -61532882304, 57116486176, 2878288704, -4852263144, 33969032, 207120762, -5515022, -4819923, 138961, 61689, -1328, -402, 4, 1], 1]], 'hecke_orbit_code': 36028797052526404, 'p': 47}
-
id: 4632865
{'charpoly_factorization': [[[-4489400316672, -48507319485120, 20111087614912, 3231228498960, -2336877751440, 86565915568, 90201530184, -10034375088, -1349463064, 249021880, 4684434, -2545465, 55067, 11496, -473, -19, 1], 1]], 'hecke_orbit_code': 36028797052526404, 'p': 53}
-
id: 4632866
{'charpoly_factorization': [[[23868801024, 7198029312, -42486993152, -13360938752, 17729754304, 5622657472, -2550838656, -750436304, 149957996, 36434286, -4294337, -665780, 62799, 4850, -419, -12, 1], 1]], 'hecke_orbit_code': 36028797052526404, 'p': 59}
-
id: 4632867
{'charpoly_factorization': [[[-674407936, -4148738816, 14053671008, -2802119536, -14390449644, 5870736154, 2806986210, -771558957, -164089809, 41327189, 3043316, -979520, 3676, 8319, -288, -21, 1], 1]], 'hecke_orbit_code': 36028797052526404, 'p': 61}
-
id: 4632868
{'charpoly_factorization': [[[3408931808, -20323155872, -67303291956, -57238406888, -8441057944, 11444751736, 6017802531, 779798186, -149012504, -45640208, -694500, 740443, 45481, -4802, -395, 11, 1], 1]], 'hecke_orbit_code': 36028797052526404, 'p': 67}
-
id: 4632869
{'charpoly_factorization': [[[-7539615417450496, 4465101971112960, -206140027672064, -274570835485952, 29958839157888, 6870609027941, -877886501433, -91068170682, 12332564897, 693369667, -96431784, -3044147, 429418, 7164, -1019, -7, 1], 1]], 'hecke_orbit_code': 36028797052526404, 'p': 71}
-
id: 4632870
{'charpoly_factorization': [[[-75334284986368, -60238310709248, 2522576110592, 7991502840832, 397807756480, -430447894112, -31964287456, 12087113392, 985119740, -189361874, -15554334, 1645257, 132586, -7337, -577, 13, 1], 1]], 'hecke_orbit_code': 36028797052526404, 'p': 73}
-
id: 4632871
{'charpoly_factorization': [[[-39769115858944, 60446999295104, 20799197360512, -16116729553312, -7977550854656, -640173331032, 208992939488, 35959103410, -1353382418, -565552841, -9401122, 4053920, 156730, -13777, -685, 18, 1], 1]], 'hecke_orbit_code': 36028797052526404, 'p': 79}
-
id: 4632872
{'charpoly_factorization': [[[918869999616, 7563443576832, 11405679911936, -2308653355008, -2794299169088, 458752244320, 127566460384, -22720418912, -2001338868, 454200198, 7919380, -4091141, 57759, 16678, -509, -25, 1], 1]], 'hecke_orbit_code': 36028797052526404, 'p': 83}
-
id: 4632873
{'charpoly_factorization': [[[848564373554432, -640155366472320, 113503360595872, 28700863829728, -11881904091856, 477148539376, 307055020794, -39080928814, -2268078741, 645819106, -11152431, -4227859, 196169, 11929, -778, -12, 1], 1]], 'hecke_orbit_code': 36028797052526404, 'p': 89}
-
id: 4632874
{'charpoly_factorization': [[[-1191522349056, -1179043501056, 1705223894656, 504771995072, -814331653904, 136027717272, 49055969512, -14182771292, -237905300, 346487586, -19018236, -2545545, 217301, 6697, -806, -5, 1], 1]], 'hecke_orbit_code': 36028797052526404, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 9, 'label': '8004.2.a.i', 'level': 8004, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 198758000
{'hecke_orbit_code': 36028797052526404, 'n': 1, 'trace_an': 16}
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id: 198758001
{'hecke_orbit_code': 36028797052526404, 'n': 2, 'trace_an': 0}
-
id: 198758002
{'hecke_orbit_code': 36028797052526404, 'n': 3, 'trace_an': -16}
-
id: 198758003
{'hecke_orbit_code': 36028797052526404, 'n': 4, 'trace_an': 0}
-
id: 198758004
{'hecke_orbit_code': 36028797052526404, 'n': 5, 'trace_an': 5}
-
id: 198758005
{'hecke_orbit_code': 36028797052526404, 'n': 6, 'trace_an': 0}
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id: 198758006
{'hecke_orbit_code': 36028797052526404, 'n': 7, 'trace_an': -4}
-
id: 198758007
{'hecke_orbit_code': 36028797052526404, 'n': 8, 'trace_an': 0}
-
id: 198758008
{'hecke_orbit_code': 36028797052526404, 'n': 9, 'trace_an': 16}
-
id: 198758009
{'hecke_orbit_code': 36028797052526404, 'n': 10, 'trace_an': 0}
-
id: 198758010
{'hecke_orbit_code': 36028797052526404, 'n': 11, 'trace_an': 5}
-
id: 198758011
{'hecke_orbit_code': 36028797052526404, 'n': 12, 'trace_an': 0}
-
id: 198758012
{'hecke_orbit_code': 36028797052526404, 'n': 13, 'trace_an': 8}
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id: 198758013
{'hecke_orbit_code': 36028797052526404, 'n': 14, 'trace_an': 0}
-
id: 198758014
{'hecke_orbit_code': 36028797052526404, 'n': 15, 'trace_an': -5}
-
id: 198758015
{'hecke_orbit_code': 36028797052526404, 'n': 16, 'trace_an': 0}
-
id: 198758016
{'hecke_orbit_code': 36028797052526404, 'n': 17, 'trace_an': 7}
-
id: 198758017
{'hecke_orbit_code': 36028797052526404, 'n': 18, 'trace_an': 0}
-
id: 198758018
{'hecke_orbit_code': 36028797052526404, 'n': 19, 'trace_an': 1}
-
id: 198758019
{'hecke_orbit_code': 36028797052526404, 'n': 20, 'trace_an': 0}
-
id: 198758020
{'hecke_orbit_code': 36028797052526404, 'n': 21, 'trace_an': 4}
-
id: 198758021
{'hecke_orbit_code': 36028797052526404, 'n': 22, 'trace_an': 0}
-
id: 198758022
{'hecke_orbit_code': 36028797052526404, 'n': 23, 'trace_an': 16}
-
id: 198758023
{'hecke_orbit_code': 36028797052526404, 'n': 24, 'trace_an': 0}
-
id: 198758024
{'hecke_orbit_code': 36028797052526404, 'n': 25, 'trace_an': 31}
-
id: 198758025
{'hecke_orbit_code': 36028797052526404, 'n': 26, 'trace_an': 0}
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