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mf_newforms • Show schema
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{'Nk2': 192, 'analytic_conductor': 0.9371550764523653, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 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': [3, 1, [2], [1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [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': [], 'hecke_orbit': 1, 'hecke_orbit_code': 134217731, 'hecke_ring_generator_nbound': 1, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '3.8.a.a', 'level': 3, 'level_is_prime': True, 'level_is_prime_power': True, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [3], 'level_radical': 3, 'minimal_twist': '3.8.a.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+6q^{2}-3^{3}q^{3}-92q^{4}+390q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '7.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3.8.a', 'trace_display': [6, -27, 390, -64], 'trace_hash': 215538305258969424, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.010', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.993', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.008', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.971', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.909', 'prec': 17}], 'trace_zratio': 0, 'traces': [1, 6, -27, -92, 390, -162, 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mf_hecke_nf • Show schema
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{'an': [[1], [6], [-27], [-92], [390], [-162], [-64], [-1320], [729], [2340], [-948], [2484], [-5098], [-384], [-10530], [3856], [28386], [4374], [-8620], [-35880], [1728], [-5688], [-15288], [35640], [73975], [-30588], [-19683], [5888], [36510], [-63180], [-276808], [192096], [25596], [170316], [-24960], [-67068], [268526], [-51720], [137646], [-514800], [-629718], [10368], [685772], [87216], [284310], [-91728], [583296], [-104112], [-819447], [443850], [-766422], [469016], [-428058], [-118098], [-369720], [84480], [232740], [219060], [1306380], [968760], [300662], [-1660848], [-46656], [659008], [-1988220], [153576], [-507244], [-2611512], [412776], [-149760], [5560632], [-962280], [1369082], [1611156], [-1997325], [793040], [60672], [825876], [-6913720], [1503840], [531441], [-3778308], [-4376748], [-158976], [11070540], [4114632], [-985770], [1251360], [-8528310], [1705860], [326272], [1406496], [7473816], [3499776], [-3361800], [-5186592], [-8826814], [-4916682], [-691092], [-6805700]], 'ap': [[6], [-27], [390], [-64], [-948], [-5098], [28386], [-8620], [-15288], [36510], [-276808], [268526], [-629718], [685772], [583296], [-428058], [1306380], [300662], [-507244], [5560632], [1369082], [-6913720], [-4376748], [-8528310], [-8826814], [11986422], [7209392], [11426076], [4020950], [-17706318], [16788296], [16826772], [28044906], [-11827300], [20784630], [76112], [-32182474], [58343492], [-25836504], [63520062], [-80955900], [64503182], [56827392], [116376962], [-118816074], [-95010640], [179246372], [-206536888], [43395396], [-36193090], [92234682], [49846800], [199374002], [-394677828], [-142885374], [440240712], [275404590], [-424669768], [516158126], [-311042838], [-594308308], [115514742], [-260599804], [576794712], [-460074358], [62556126], [684235772], [-626312974], [-1253396004], [265350230], [-569635518], [932540760], [-852564664], [381183422], [-1483530820], [-761929728], [1609017990], [1880157926], [268592322], [89947850], [1690542660], [-1133327458], [2199426912], [-151737838], [990762560], [-1773756228], [-277010190], [2947584986], [-2766873378], [463552952], [-417921804], [-1509728880], [929459936], [5128027932], [-410649340], [5020408872], [-3249259170], [-2109501558], [-5289111988], [3046135142], [-4855369564], [1277621406], [4712645172], [4577997210], [4951192172], [8518472066], [-562247364], [3621104082], [-7481036760], [-5812702678], [3840510056], [1704841742], [-2808092454], [-2543654980], [-151146448], [-12362510478], [2867439812], [-4106397384], [6910997502], [3424439940], [-6764370178], [-1749591838], [8300111046], [-12123151668], [8218456532], [4722309342], [2789746910], [1519846560], [-8117607664], [-10324065658], [-13536483820], [-17193592248], [11247841832], [16306837166], [6140694522], [24506888450], [-10172166858], [-9791348044], [-9757815954], [-2787060150], [-7999831348], [-10240182138], [27868227152], [23512488876], [-12859810810], [-7998323880], [4208270462], [31930660986], [21800201180], [10472788512], [-17778707194], [-7642529838], [-27637547308], [32308710456], [22714240076], [7509250032], [-24937401040], [-8662051470], [28265471066], [-46708171458], [-46739235324], [38242017882], [-49001211184], [27292866732], [3944816706], [474320472], [12219675032], [-36069016114]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 134217731, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '3.8.a.a', 'level': 3, 'maxp': 997, 'weight': 8}
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mf_newspaces • Show schema
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{'AL_dims': [[[[3, 1]], 1, 1]], 'ALdims': [1, 0], 'Nk2': 192, 'analytic_conductor': 0.9371550764523653, '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': [3, 1, [2], [1]], 'conrey_index': 1, 'cusp_dim': 1, 'dim': 1, 'eis_dim': 2, 'eis_new_dim': 0, 'hecke_cutter_primes': [], 'hecke_orbit_code': 134217731, 'hecke_orbit_dims': [1], 'label': '3.8.a', 'level': 3, 'level_is_prime': True, 'level_is_prime_power': True, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [3], 'level_radical': 3, 'mf_dim': 3, 'mf_new_dim': 1, 'num_forms': 1, 'plus_dim': 1, 'prim_orbit_index': 1, 'relative_dim': 1, 'sturm_bound': 2, 'trace_bound': 0, 'trace_display': [6, -27, 390, -64], 'traces': [1, 6, -27, -92, 390, -162, -64, -1320, 729, 2340, -948, 2484, -5098, -384, -10530, 3856, 28386, 4374, -8620, -35880, 1728, -5688, -15288, 35640, 73975, -30588, -19683, 5888, 36510, -63180, 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mf_twists_nf • Show schema
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id: 698
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '3.8.a.a', 'source_level': 3, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '3.8.a.a', 'target_level': 3, 'twist_class_label': '3.8.a.a', 'twist_class_level': 3, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 8}
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id: 699
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '3.8.a.a', 'source_level': 3, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '9.8.a.a', 'target_level': 9, 'twist_class_label': '3.8.a.a', 'twist_class_level': 3, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 8}
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id: 700
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '3.8.a.a', 'source_level': 3, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '48.8.a.g', 'target_level': 48, 'twist_class_label': '3.8.a.a', 'twist_class_level': 3, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 8}
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id: 701
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '3.8.a.a', 'source_level': 3, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '75.8.a.a', 'target_level': 75, 'twist_class_label': '3.8.a.a', 'twist_class_level': 3, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 8}
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id: 702
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '3.8.a.a', 'source_level': 3, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '75.8.b.c', 'target_level': 75, 'twist_class_label': '3.8.a.a', 'twist_class_level': 3, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 8}
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id: 703
{'conductor': 9, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '3.8.a.a', 'source_level': 3, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '81.8.c.a', 'target_level': 81, 'twist_class_label': '3.8.a.a', 'twist_class_level': 3, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 8}
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id: 704
{'conductor': 9, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '3.8.a.a', 'source_level': 3, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '81.8.c.c', 'target_level': 81, 'twist_class_label': '3.8.a.a', 'twist_class_level': 3, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 8}
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id: 705
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '3.8.a.a', 'source_level': 3, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '144.8.a.b', 'target_level': 144, 'twist_class_label': '3.8.a.a', 'twist_class_level': 3, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 8}
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id: 706
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '3.8.a.a', 'source_level': 3, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '147.8.a.b', 'target_level': 147, 'twist_class_label': '3.8.a.a', 'twist_class_level': 3, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 8}
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id: 707
{'conductor': 7, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '3.8.a.a', 'source_level': 3, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '147.8.e.a', 'target_level': 147, 'twist_class_label': '3.8.a.a', 'twist_class_level': 3, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 8}
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id: 708
{'conductor': 7, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '3.8.a.a', 'source_level': 3, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '147.8.e.b', 'target_level': 147, 'twist_class_label': '3.8.a.a', 'twist_class_level': 3, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 8}
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id: 709
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '3.8.a.a', 'source_level': 3, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '192.8.a.a', 'target_level': 192, 'twist_class_label': '3.8.a.a', 'twist_class_level': 3, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 8}
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id: 710
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '3.8.a.a', 'source_level': 3, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '192.8.a.i', 'target_level': 192, 'twist_class_label': '3.8.a.a', 'twist_class_level': 3, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 8}
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id: 711
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '3.8.a.a', 'source_level': 3, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '225.8.a.i', 'target_level': 225, 'twist_class_label': '3.8.a.a', 'twist_class_level': 3, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 8}
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id: 712
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '3.8.a.a', 'source_level': 3, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '225.8.b.f', 'target_level': 225, 'twist_class_label': '3.8.a.a', 'twist_class_level': 3, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 8}
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id: 713
{'conductor': 11, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '3.8.a.a', 'source_level': 3, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '363.8.a.b', 'target_level': 363, 'twist_class_label': '3.8.a.a', 'twist_class_level': 3, 'twisting_char_label': '11.b', 'twisting_char_orbit': 2, 'weight': 8}
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id: 714
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '3.8.a.a', 'source_level': 3, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '441.8.a.a', 'target_level': 441, 'twist_class_label': '3.8.a.a', 'twist_class_level': 3, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 8}
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id: 715
{'conductor': 13, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '3.8.a.a', 'source_level': 3, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '507.8.a.a', 'target_level': 507, 'twist_class_label': '3.8.a.a', 'twist_class_level': 3, 'twisting_char_label': '13.b', 'twisting_char_orbit': 2, 'weight': 8}
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id: 716
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '3.8.a.a', 'source_level': 3, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 23, 'target_is_minimal': False, 'target_label': '576.8.a.w', 'target_level': 576, 'twist_class_label': '3.8.a.a', 'twist_class_level': 3, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 8}
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id: 717
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '3.8.a.a', 'source_level': 3, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 24, 'target_is_minimal': False, 'target_label': '576.8.a.x', 'target_level': 576, 'twist_class_label': '3.8.a.a', 'twist_class_level': 3, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 8}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 8725
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 134217731, 'p': 2}
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id: 8726
{'charpoly_factorization': [[[27, 1], 1]], 'hecke_orbit_code': 134217731, 'p': 3}
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id: 8727
{'charpoly_factorization': [[[-390, 1], 1]], 'hecke_orbit_code': 134217731, 'p': 5}
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id: 8728
{'charpoly_factorization': [[[64, 1], 1]], 'hecke_orbit_code': 134217731, 'p': 7}
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id: 8729
{'charpoly_factorization': [[[948, 1], 1]], 'hecke_orbit_code': 134217731, 'p': 11}
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id: 8730
{'charpoly_factorization': [[[5098, 1], 1]], 'hecke_orbit_code': 134217731, 'p': 13}
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id: 8731
{'charpoly_factorization': [[[-28386, 1], 1]], 'hecke_orbit_code': 134217731, 'p': 17}
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id: 8732
{'charpoly_factorization': [[[8620, 1], 1]], 'hecke_orbit_code': 134217731, 'p': 19}
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id: 8733
{'charpoly_factorization': [[[15288, 1], 1]], 'hecke_orbit_code': 134217731, 'p': 23}
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id: 8734
{'charpoly_factorization': [[[-36510, 1], 1]], 'hecke_orbit_code': 134217731, 'p': 29}
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id: 8735
{'charpoly_factorization': [[[276808, 1], 1]], 'hecke_orbit_code': 134217731, 'p': 31}
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id: 8736
{'charpoly_factorization': [[[-268526, 1], 1]], 'hecke_orbit_code': 134217731, 'p': 37}
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id: 8737
{'charpoly_factorization': [[[629718, 1], 1]], 'hecke_orbit_code': 134217731, 'p': 41}
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id: 8738
{'charpoly_factorization': [[[-685772, 1], 1]], 'hecke_orbit_code': 134217731, 'p': 43}
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id: 8739
{'charpoly_factorization': [[[-583296, 1], 1]], 'hecke_orbit_code': 134217731, 'p': 47}
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id: 8740
{'charpoly_factorization': [[[428058, 1], 1]], 'hecke_orbit_code': 134217731, 'p': 53}
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id: 8741
{'charpoly_factorization': [[[-1306380, 1], 1]], 'hecke_orbit_code': 134217731, 'p': 59}
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id: 8742
{'charpoly_factorization': [[[-300662, 1], 1]], 'hecke_orbit_code': 134217731, 'p': 61}
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id: 8743
{'charpoly_factorization': [[[507244, 1], 1]], 'hecke_orbit_code': 134217731, 'p': 67}
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id: 8744
{'charpoly_factorization': [[[-5560632, 1], 1]], 'hecke_orbit_code': 134217731, 'p': 71}
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id: 8745
{'charpoly_factorization': [[[-1369082, 1], 1]], 'hecke_orbit_code': 134217731, 'p': 73}
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id: 8746
{'charpoly_factorization': [[[6913720, 1], 1]], 'hecke_orbit_code': 134217731, 'p': 79}
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id: 8747
{'charpoly_factorization': [[[4376748, 1], 1]], 'hecke_orbit_code': 134217731, 'p': 83}
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id: 8748
{'charpoly_factorization': [[[8528310, 1], 1]], 'hecke_orbit_code': 134217731, 'p': 89}
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id: 8749
{'charpoly_factorization': [[[8826814, 1], 1]], 'hecke_orbit_code': 134217731, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 1, 'label': '3.8.a.a', 'level': 3, 'portrait': 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', 'weight': 8}
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mf_hecke_traces • Show schema
Hide schema
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id: 13587000
{'hecke_orbit_code': 134217731, 'n': 1, 'trace_an': 1}
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id: 13587001
{'hecke_orbit_code': 134217731, 'n': 2, 'trace_an': 6}
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id: 13587002
{'hecke_orbit_code': 134217731, 'n': 3, 'trace_an': -27}
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id: 13587003
{'hecke_orbit_code': 134217731, 'n': 4, 'trace_an': -92}
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id: 13587004
{'hecke_orbit_code': 134217731, 'n': 5, 'trace_an': 390}
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id: 13587005
{'hecke_orbit_code': 134217731, 'n': 6, 'trace_an': -162}
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id: 13587006
{'hecke_orbit_code': 134217731, 'n': 7, 'trace_an': -64}
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id: 13587007
{'hecke_orbit_code': 134217731, 'n': 8, 'trace_an': -1320}
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id: 13587008
{'hecke_orbit_code': 134217731, 'n': 9, 'trace_an': 729}
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id: 13587009
{'hecke_orbit_code': 134217731, 'n': 10, 'trace_an': 2340}
-
id: 13587010
{'hecke_orbit_code': 134217731, 'n': 11, 'trace_an': -948}
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id: 13587011
{'hecke_orbit_code': 134217731, 'n': 12, 'trace_an': 2484}
-
id: 13587012
{'hecke_orbit_code': 134217731, 'n': 13, 'trace_an': -5098}
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id: 13587013
{'hecke_orbit_code': 134217731, 'n': 14, 'trace_an': -384}
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id: 13587014
{'hecke_orbit_code': 134217731, 'n': 15, 'trace_an': -10530}
-
id: 13587015
{'hecke_orbit_code': 134217731, 'n': 16, 'trace_an': 3856}
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id: 13587016
{'hecke_orbit_code': 134217731, 'n': 17, 'trace_an': 28386}
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id: 13587017
{'hecke_orbit_code': 134217731, 'n': 18, 'trace_an': 4374}
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id: 13587018
{'hecke_orbit_code': 134217731, 'n': 19, 'trace_an': -8620}
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id: 13587019
{'hecke_orbit_code': 134217731, 'n': 20, 'trace_an': -35880}
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id: 13587020
{'hecke_orbit_code': 134217731, 'n': 21, 'trace_an': 1728}
-
id: 13587021
{'hecke_orbit_code': 134217731, 'n': 22, 'trace_an': -5688}
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id: 13587022
{'hecke_orbit_code': 134217731, 'n': 23, 'trace_an': -15288}
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id: 13587023
{'hecke_orbit_code': 134217731, 'n': 24, 'trace_an': 35640}
-
id: 13587024
{'hecke_orbit_code': 134217731, 'n': 25, 'trace_an': 73975}
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id: 13587025
{'hecke_orbit_code': 134217731, 'n': 26, 'trace_an': -30588}
-
id: 13587026
{'hecke_orbit_code': 134217731, 'n': 27, 'trace_an': -19683}
-
id: 13587027
{'hecke_orbit_code': 134217731, 'n': 28, 'trace_an': 5888}
-
id: 13587028
{'hecke_orbit_code': 134217731, 'n': 29, 'trace_an': 36510}
-
id: 13587029
{'hecke_orbit_code': 134217731, 'n': 30, 'trace_an': -63180}
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id: 13587030
{'hecke_orbit_code': 134217731, 'n': 31, 'trace_an': -276808}
-
id: 13587031
{'hecke_orbit_code': 134217731, 'n': 32, 'trace_an': 192096}
-
id: 13587032
{'hecke_orbit_code': 134217731, 'n': 33, 'trace_an': 25596}
-
id: 13587033
{'hecke_orbit_code': 134217731, 'n': 34, 'trace_an': 170316}
-
id: 13587034
{'hecke_orbit_code': 134217731, 'n': 35, 'trace_an': -24960}
-
id: 13587035
{'hecke_orbit_code': 134217731, 'n': 36, 'trace_an': -67068}
-
id: 13587036
{'hecke_orbit_code': 134217731, 'n': 37, 'trace_an': 268526}
-
id: 13587037
{'hecke_orbit_code': 134217731, 'n': 38, 'trace_an': -51720}
-
id: 13587038
{'hecke_orbit_code': 134217731, 'n': 39, 'trace_an': 137646}
-
id: 13587039
{'hecke_orbit_code': 134217731, 'n': 40, 'trace_an': -514800}
-
id: 13587040
{'hecke_orbit_code': 134217731, 'n': 41, 'trace_an': -629718}
-
id: 13587041
{'hecke_orbit_code': 134217731, 'n': 42, 'trace_an': 10368}
-
id: 13587042
{'hecke_orbit_code': 134217731, 'n': 43, 'trace_an': 685772}
-
id: 13587043
{'hecke_orbit_code': 134217731, 'n': 44, 'trace_an': 87216}
-
id: 13587044
{'hecke_orbit_code': 134217731, 'n': 45, 'trace_an': 284310}
-
id: 13587045
{'hecke_orbit_code': 134217731, 'n': 46, 'trace_an': -91728}
-
id: 13587046
{'hecke_orbit_code': 134217731, 'n': 47, 'trace_an': 583296}
-
id: 13587047
{'hecke_orbit_code': 134217731, 'n': 48, 'trace_an': -104112}
-
id: 13587048
{'hecke_orbit_code': 134217731, 'n': 49, 'trace_an': -819447}
-
id: 13587049
{'hecke_orbit_code': 134217731, 'n': 50, 'trace_an': 443850}
-
id: 13587050
{'hecke_orbit_code': 134217731, 'n': 51, 'trace_an': -766422}
-
id: 13587051
{'hecke_orbit_code': 134217731, 'n': 52, 'trace_an': 469016}
-
id: 13587052
{'hecke_orbit_code': 134217731, 'n': 53, 'trace_an': -428058}
-
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