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{'Nk2': 31740, 'analytic_conductor': 63.36129400388599, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 1], [5, -1], [23, 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': [7935, 1, [5291, 4762, 7411], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 16, 'field_disc': 22709421482515563479983718400, 'field_disc_factorization': [[2, 34], [3, 8], [5, 2], [8058907515289, 1]], 'field_poly': [64, 64, -656, -368, 2414, 552, -3812, -276, 2836, 56, -1098, -4, 228, 0, -24, 0, 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, [64, -64, -656, 368, 2414, -552, -3812, 276, 2836, -56, -1098, 4, 228, 0, -24, 0, 1]], [7, [44344, -47024, -409576, 905696, -266580, -675072, 466856, 125992, -171138, 10500, 24026, -4812, -1285, 428, 6, -12, 1]], [11, [-1492208, -12634528, -11347656, 17571032, 9056161, -8500208, -2766706, 1984068, 441243, -248572, -40822, 16928, 2265, -584, -72, 8, 1]]], 'hecke_orbit': 45, 'hecke_orbit_code': 198158383637864191, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], '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': True, 'label': '7935.2.a.bs', 'level': 7935, '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, 5, 23], 'level_radical': 345, 'minimal_twist': '7935.2.a.br', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{1}q^{2}-q^{3}+(1+\\beta _{2})q^{4}+q^{5}+\\beta _{1}q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 16, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '7935.2.a', 'trace_display': [0, -16, 16, 12], 'trace_hash': 2093970419304577159, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.015', 'prec': 17}, {'__RealLiteral__': 0, 'data': '13.648', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '511.604', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '30716.426', 'prec': 30}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.008', 'prec': 17}, 'traces': [16, 0, -16, 16, 16, 0, 12, 0, 16, 0, -8, -16, -8, 0, -16, 16, 20, 0, 16, 16, -12, 16, 0, 0, 16, 20, -16, -16, 40, 0, 16, -20, 8, 16, 12, 16, 28, 56, 8, 0, 12, 0, 4, -48, 16, 0, -20, -16, 20, 0, -20, -36, 4, 0, -8, -8, -16, -16, 20, -16, 32, 28, 12, 28, -8, -16, 4, -24, 0, 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mf_hecke_cc • Show schema
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-0.1639542623925727, -0.3315418529143061, -0.1142764548583716, -0.29729314911675414, -0.21650937891256053, -0.15826403074690024, -0.33509788148358854, -0.13407616751092055, -0.20979056898381543, -0.19289252910648327, -0.24790640133842454, -0.1604872874146294, -0.4050051986588808, -0.18521790362079477], 'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 5, 'dual_embedding_m': 5, 'embedding_index': 5, 'embedding_m': 5, 'embedding_root_imag': 0.0, 'embedding_root_real': 1.309631841081899, 'hecke_orbit': 45, 'hecke_orbit_code': 198158383637864191, 'label': '7935.2.a.bs.1.5', 'level': 7935, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [41, 44, 51, 33, 43, 40, 33, 51], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [11, 12, 12, 12, 12, 12, 12, 12], 'ALdims_old': [80, 98, 93, 89, 89, 92, 99, 81], 'Nk2': 31740, 'analytic_conductor': 63.36129400388599, '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': [7935, 1, [5291, 4762, 7411], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1057, 'dim': 336, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7, 11], 'hecke_orbit_code': 33562367, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 5, 5, 6, 6, 6, 6, 8, 8, 10, 10, 12, 12, 15, 15, 15, 15, 16, 16, 25, 25, 25, 25], 'label': '7935.2.a', 'level': 7935, '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, 5, 23], 'level_radical': 345, 'mf_dim': 1152, 'mf_new_dim': 336, 'num_forms': 49, 'plus_dim': 147, 'prim_orbit_index': 1, 'relative_dim': 336, 'sturm_bound': 2208, 'trace_bound': 7, 'trace_display': [4, -2, 0, 0], 'traces': [336, 4, -2, 340, 0, 2, 0, 12, 336, 4, 16, -6, -8, -8, 2, 340, 0, 4, 8, -8, -8, -8, 0, -6, 336, 24, -2, 8, 16, 2, 16, 28, 0, -24, 8, 340, 16, 8, -4, 12, 24, 0, 8, 24, 0, 0, 16, 2, 328, 4, 12, -32, -8, 2, 0, -32, -16, 24, 0, 6, -16, -32, 0, 348, 16, 16, 8, 24, 0, -24, 24, 12, 8, 0, -2, 0, -40, -28, 8, 0, 336, 32, -8, -8, 8, 0, -20, 16, 8, 4, -32, 0, -16, 24, 0, -30, 0, 44, 16, 340, 16, 36, -8, 88, 0, 16, 16, -6, -8, -24, 4, 64, 56, 24, 0, 64, -8, -8, -8, -6, 376, -64, -12, 40, 0, -8, -48, 4, -16, 8, 8, -8, -8, -64, 2, -48, 24, 0, 40, 0, 24, 16, -40, 340, 24, -120, -18, 48, 16, 2, 8, -64, 0, -32, 0, 44, 8, -64, -28, 28, 0, 4, -56, 16, 0, 40, 8, 72, 384, 24, 8, 32, 88, 36, 0, -16, 32, 8, 40, -8, 88, -8, 4, 0, 16, 24, 64, -80, -8, -16, -96, 74, 16, 16, 4, 316, 72, 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mf_twists_cc • Show schema
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id: 48991187
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 16, 'source_embedding_index': 5, 'source_hecke_orbit_code': 198158383637864191, 'source_is_minimal': True, 'source_label': '7935.2.a.bs.1.5', 'source_level': 7935, 'target_conrey_index': 1, 'target_dim': 16, 'target_embedding_index': 5, 'target_hecke_orbit_code': 198158383637864191, 'target_is_minimal': True, 'target_label': '7935.2.a.bs.1.5', 'target_level': 7935, 'twist_class_label': '7935.2.a.br.1.5', 'twist_class_level': 7935, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48991188
{'conductor': 23, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 16, 'source_embedding_index': 5, 'source_hecke_orbit_code': 198158383637864191, 'source_is_minimal': True, 'source_label': '7935.2.a.bs.1.5', 'source_level': 7935, 'target_conrey_index': 1, 'target_dim': 16, 'target_embedding_index': 5, 'target_hecke_orbit_code': 193654784010493695, 'target_is_minimal': True, 'target_label': '7935.2.a.br.1.5', 'target_level': 7935, 'twist_class_label': '7935.2.a.br.1.5', 'twist_class_level': 7935, 'twisting_char_label': '23.22', 'twisting_conrey_index': 22, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4613075
{'charpoly_factorization': [[[64, -64, -656, 368, 2414, -552, -3812, 276, 2836, -56, -1098, 4, 228, 0, -24, 0, 1], 1]], 'hecke_orbit_code': 198158383637864191, 'p': 2}
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id: 4613076
{'charpoly_factorization': [[[1, 1], 16]], 'hecke_orbit_code': 198158383637864191, 'p': 3}
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id: 4613077
{'charpoly_factorization': [[[-1, 1], 16]], 'hecke_orbit_code': 198158383637864191, 'p': 5}
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id: 4613078
{'charpoly_factorization': [[[44344, -47024, -409576, 905696, -266580, -675072, 466856, 125992, -171138, 10500, 24026, -4812, -1285, 428, 6, -12, 1], 1]], 'hecke_orbit_code': 198158383637864191, 'p': 7}
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id: 4613079
{'charpoly_factorization': [[[-1492208, -12634528, -11347656, 17571032, 9056161, -8500208, -2766706, 1984068, 441243, -248572, -40822, 16928, 2265, -584, -72, 8, 1], 1]], 'hecke_orbit_code': 198158383637864191, 'p': 11}
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id: 4613080
{'charpoly_factorization': [[[2360398, 75283048, -180422212, 74269340, 76854320, -47024024, -12996890, 9163924, 1361730, -843580, -100924, 39384, 4585, -900, -108, 8, 1], 1]], 'hecke_orbit_code': 198158383637864191, 'p': 13}
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id: 4613081
{'charpoly_factorization': [[[-241184, 1689344, 5893872, -7086048, -27666242, -9315944, 12508904, 2829460, -2697392, -54480, 230442, -19520, -7660, 1212, 56, -20, 1], 1]], 'hecke_orbit_code': 198158383637864191, 'p': 17}
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id: 4613082
{'charpoly_factorization': [[[47883172, -320750816, 184560116, 187078208, -144578755, -29590664, 38113540, -880304, -4444209, 591152, 228080, -48672, -4109, 1512, -24, -16, 1], 1]], 'hecke_orbit_code': 198158383637864191, 'p': 19}
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id: 4613083
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 198158383637864191, 'p': 23}
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id: 4613084
{'charpoly_factorization': [[[71756032, -578937856, 1159664128, 604164224, -2944450544, 2331813792, -629940272, -45914080, 59575672, -9854480, -620576, 372456, -34736, -1752, 560, -40, 1], 1]], 'hecke_orbit_code': 198158383637864191, 'p': 29}
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id: 4613085
{'charpoly_factorization': [[[1041866512, 3569200576, 1596903144, -3593307120, -2080766799, 1231974080, 549599782, -183880416, -40919017, 13657904, 598260, -370464, 6967, 4112, -194, -16, 1], 1]], 'hecke_orbit_code': 198158383637864191, 'p': 31}
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id: 4613086
{'charpoly_factorization': [[[8998446680638, -7711131025944, 878456193328, 903984630068, -239587390500, -32752022384, 15769354782, -17782140, -476123078, 29393160, 7035304, -748228, -41875, 7592, -42, -28, 1], 1]], 'hecke_orbit_code': 198158383637864191, 'p': 37}
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id: 4613087
{'charpoly_factorization': [[[-28249448576, -153929124864, 67600142864, 236261826904, 103303103673, -6176925880, -10748831062, -851501992, 377576665, 39305264, -6924322, -643744, 73683, 4588, -424, -12, 1], 1]], 'hecke_orbit_code': 198158383637864191, 'p': 41}
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id: 4613088
{'charpoly_factorization': [[[52476159118, -6497627840, -77534209780, 2553331324, 33262020240, 1627596620, -3568707838, -196471296, 170147552, 8168536, -4209438, -151880, 55903, 1284, -376, -4, 1], 1]], 'hecke_orbit_code': 198158383637864191, 'p': 43}
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id: 4613089
{'charpoly_factorization': [[[261987509248, 613935152128, 379610138368, -37482811136, -88884400672, -10757803264, 6615652160, 1257487328, -198596480, -50502752, 1994648, 906544, 10568, -7120, -260, 20, 1], 1]], 'hecke_orbit_code': 198158383637864191, 'p': 47}
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id: 4613090
{'charpoly_factorization': [[[21627663552736, 6837927525952, -8070628219488, -1531219004912, 830185584654, 105300952872, -39763936840, -3309240860, 1029795516, 54569588, -15216662, -487092, 127638, 2216, -562, -4, 1], 1]], 'hecke_orbit_code': 198158383637864191, 'p': 53}
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id: 4613091
{'charpoly_factorization': [[[660356992, -4988049024, 14120940768, -19298775168, 13016460420, -3242176192, -822102072, 684728192, -135751352, -1316448, 3965836, -406632, -21754, 5524, -134, -20, 1], 1]], 'hecke_orbit_code': 198158383637864191, 'p': 59}
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id: 4613092
{'charpoly_factorization': [[[4162567921, -51537348688, 65972846860, 39391052576, -32878161116, -5355631984, 4817193536, 98465920, -278631998, 12304416, 6902180, -588288, -62736, 8192, 32, -32, 1], 1]], 'hecke_orbit_code': 198158383637864191, 'p': 61}
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id: 4613093
{'charpoly_factorization': [[[42811047424, 249244893184, 439550704896, 285011721472, 21183377344, -44006411136, -12043000000, 1035447552, 546337016, -3173040, -10454620, -125868, 102097, 1352, -504, -4, 1], 1]], 'hecke_orbit_code': 198158383637864191, 'p': 67}
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id: 4613094
{'charpoly_factorization': [[[-4300690810400, -7113293423200, 2968440043880, 1612922480920, -694398972911, -72801452624, 55162755556, -2575299796, -1462118701, 161263064, 13089362, -2476392, 2241, 13540, -390, -24, 1], 1]], 'hecke_orbit_code': 198158383637864191, 'p': 71}
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id: 4613095
{'charpoly_factorization': [[[-46817921024, -208619292672, -165318554112, 167994237056, 253820432824, 84234209168, -4583607944, -7266845936, -1101294388, 51879664, 24769384, 1235648, -136538, -13780, 6, 36, 1], 1]], 'hecke_orbit_code': 198158383637864191, 'p': 73}
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id: 4613096
{'charpoly_factorization': [[[-4343225187836, 1816478682176, 1213558649364, -478525690368, -129008761827, 46577333536, 6492294968, -2265451864, -162762625, 60885632, 1768628, -919792, 1127, 7328, -176, -24, 1], 1]], 'hecke_orbit_code': 198158383637864191, 'p': 79}
-
id: 4613097
{'charpoly_factorization': [[[-261887021600, -321836728000, 105772921120, 190962600400, -11745420866, -34042422920, 2907052440, 2336544252, -325439836, -54195300, 11512370, 123652, -139018, 6552, 438, -44, 1], 1]], 'hecke_orbit_code': 198158383637864191, 'p': 83}
-
id: 4613098
{'charpoly_factorization': [[[64566294400, -403855738240, 679182301856, -216138749984, -260999479292, 137365056112, 18044533664, -10537920856, -131970192, 264896160, -7543144, -2683048, 125174, 11264, -634, -16, 1], 1]], 'hecke_orbit_code': 198158383637864191, 'p': 89}
-
id: 4613099
{'charpoly_factorization': [[[16478913617464, -35639346034240, 26386705224680, -7472420584880, -311704657002, 680418879296, -138599832960, 97450924, 3644816502, -451870764, -4419234, 5165456, -384810, 92, 1308, -64, 1], 1]], 'hecke_orbit_code': 198158383637864191, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 45, 'label': '7935.2.a.bs', 'level': 7935, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 71095489
{'hecke_orbit_code': 198158383637864191, 'n': 1, 'trace_an': 16}
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id: 71095490
{'hecke_orbit_code': 198158383637864191, 'n': 2, 'trace_an': 0}
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id: 71095491
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