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lfunc_lfunctions • Show schema
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{'Lhash': '313717601876410030618683249991,2988059931610545929015401731967', 'a10': 0, 'a2': 0, 'a3': 0, 'a4': -512, 'a5': -289, 'a6': 0, 'a7': 0, 'a8': 0, 'a9': -13122, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1497.7649207164077, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '4.0', 'prec': 10}, 'bad_lfactors': [[5, [1, 289, 390625]], [19, [1, -260642, 16983563041]]], 'bad_primes': [5, 19], 'central_character': '95.1', 'coefficient_field': '1.1.1.1', 'conductor': 9025, 'conductor_radical': 95, 'degree': 4, 'euler_factors': [[1, 0, 512, 0, 65536], [1, 0, 13122, 0, 43046721], [1, 289, 390625], [1, 0, 11251873, 0, 33232930569601], [1, 50014, 1054067811, 10720945074334, 45949729863572161], [1, 0, 1631461442, 0, 665416609183179841], [1, 0, 12150955393, 0, 48661191875666868481], [1, -260642, 16983563041], [1, 0, -129301368962, 0, 6132610415680998648961], [1, 0, -1000492825922, 0, 250246473680347348787521], [1, 0, -1705782074882, 0, 727423121747185263828481], [1, 0, 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{'algebraic': True, 'analytic_conductor': 1497.7649207164077, 'bad_primes': [5, 19], 'central_character': '1.1', 'conductor': 9025, 'conductor_radical': 95, 'degree': 4, 'dirichlet_coefficients': [1, 0, 0, -512, -289, 0, 0, 0, -13122, 0, -50014, 0, 0, 0, 0, 196608, 0, 0, 260642, 147968, 0, 0, 0, 0, -307104, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6718464, 0, 0, 0, 0, 0, 0, 0, 25607168, 3792258, 0, 0, 0, -11251873, 0, 0, 0, 0, 0, 14454046, 0, 0, 0, 0, 0, 35323586, 0, 0, -67108864, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -133448704, 0, 0, 0, -56819712, 129140163, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -75325538, 0, 0, 0, 656283708, 157237248], 'euler11': [1, 50014, 1054067811, 10720945074334, 45949729863572161], 'euler13': [1, 0, 1631461442, 0, 665416609183179841], 'euler17': [1, 0, 12150955393, 0, 48661191875666868481], 'euler19': [1, -260642, 16983563041, 0, 0], 'euler2': [1, 0, 512, 0, 65536], 'euler23': [1, 0, -129301368962, 0, 6132610415680998648961], 'euler29': [1, 0, -1000492825922, 0, 250246473680347348787521], 'euler3': [1, 0, 13122, 0, 43046721], 'euler31': [1, 0, -1705782074882, 0, 727423121747185263828481], 'euler37': [1, 0, 7024958907842, 0, 12337511914217166362274241], 'euler41': [1, 0, -15969850458242, 0, 63759030914653054346432641], 'euler43': [1, 0, -8007426368927, 0, 136614025729312093462315201], 'euler47': [1, 0, -21309148791647, 0, 566977372488557307219621121], 'euler5': [1, 289, 390625, 0, 0], 'euler53': [1, 0, 124519380822722, 0, 3876269050118516845397872321], 'euler59': [1, 0, -293660875208642, 0, 21559177407076402401757871041], 'euler61': [1, -35323586, 695353557969411, -6771789757488373169666, 36751693856637464631913392961], 'euler67': [1, 0, 812135355113282, 0, 164890958756244164895763202881], 'euler7': [1, 0, 11251873, 0, 33232930569601], 'euler71': [1, 0, -1291507062491522, 0, 416997623116370028124580469121], 'euler73': [1, 0, -311183563476287, 0, 650377879817809571042122834561], 'euler79': [1, 0, -3034217619813122, 0, 2301619141096101839813550846721], 'euler83': [1, 0, 576183400144318, 0, 5072820298953863752478356399681], 'euler89': [1, 0, -7873177611404162, 0, 15496731425178936435099327730561], 'euler97': [1, 0, 15674867188753922, 0, 61425365346268570446197767595521], 'euler_factors': [[1, 0, 512, 0, 65536], [1, 0, 13122, 0, 43046721], [1, 289, 390625, 0, 0], [1, 0, 11251873, 0, 33232930569601], [1, 50014, 1054067811, 10720945074334, 45949729863572161], [1, 0, 1631461442, 0, 665416609183179841], [1, 0, 12150955393, 0, 48661191875666868481], [1, -260642, 16983563041, 0, 0], [1, 0, -129301368962, 0, 6132610415680998648961], [1, 0, -1000492825922, 0, 250246473680347348787521], [1, 0, -1705782074882, 0, 727423121747185263828481], [1, 0, 7024958907842, 0, 12337511914217166362274241], [1, 0, -15969850458242, 0, 63759030914653054346432641], [1, 0, -8007426368927, 0, 136614025729312093462315201], [1, 0, -21309148791647, 0, 566977372488557307219621121], [1, 0, 124519380822722, 0, 3876269050118516845397872321], [1, 0, -293660875208642, 0, 21559177407076402401757871041], [1, -35323586, 695353557969411, -6771789757488373169666, 36751693856637464631913392961], [1, 0, 812135355113282, 0, 164890958756244164895763202881], [1, 0, -1291507062491522, 0, 416997623116370028124580469121], [1, 0, -311183563476287, 0, 650377879817809571042122834561], [1, 0, -3034217619813122, 0, 2301619141096101839813550846721], [1, 0, 576183400144318, 0, 5072820298953863752478356399681], [1, 0, -7873177611404162, 0, 15496731425178936435099327730561], [1, 0, 15674867188753922, 0, 61425365346268570446197767595521]], 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/95/9/d/c'], 'is_instance_Artin': False, 'is_instance_BMF': False, 'is_instance_CMF': True, 'is_instance_DIR': False, 'is_instance_ECNF': False, 'is_instance_ECQ': False, 'is_instance_G2Q': False, 'is_instance_HMF': False, 'is_instance_MaassGL3': False, 'is_instance_MaassGL4': False, 'is_instance_MaassGSp4': False, 'is_instance_NF': False, 'label': '4-95e2-1.1-c8e2-0-0', 'motivic_weight': 8, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [8, 8], 'order_of_vanishing': 0, 'prelabel': '4-95e2-1.1-c8e2-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 6.221010203801879, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c8e2-0', 'trace_hash': 2020690511094239273, 'z1': {'__RealLiteral__': 0, 'data': '0.24747955139998980848507544440791', 'prec': 113}}
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{'Lhash': '313717601876410030618683249991,2988059931610545929015401731967', 'Lhash_array': ['313717601876410030618683249991', '2988059931610545929015401731967'], 'label': '4-95e2-1.1-c8e2-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/95/9/d/c'}