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lfunc_lfunctions • Show schema
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{'Lhash': '597257158467165375910077773103', 'a10': 189684023853056, 'a2': -16384, 'a3': -4782969, 'a4': 268435456, 'a5': -11577394034, 'a6': 78364164096, 'a7': -193132900798, 'a8': -4398046511104, 'a9': 22876792454961, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 119.20433819558139, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '14.0', 'prec': 14}, 'bad_lfactors': [[2, [1, 16384]], [3, [1, 4782969]]], 'bad_primes': [2, 3], 'central_character': '24.5', 'coefficient_field': '1.1.1.1', 'conductor': 24, 'conductor_radical': 6, 'degree': 2, 'euler_factors': [[1, 16384], [1, 4782969], [1, 11577394034, 37252902984619140625], [1, 193132900798, 459986536544739960976801], [1, -720252825193582, 144209936106499234037676064081], [1, 0, -15502932802662396215269535105521], [1, 0, -28351092476867700887730107366063041], [1, 0, -638411683925748518131605316913942641], [1, 0, -134393854047545109686936775588697536481], [1, 239163927290883595538, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 119.20433819558139, 'bad_primes': [2, 3], 'central_character': '24.5', 'conductor': 24, 'conductor_radical': 6, 'degree': 2, 'dirichlet_coefficients': [1, -16384, -4782969, 268435456, -11577394034, 78364164096, -193132900798, -4398046511104, 22876792454961, 189684023853056, 720252825193582, -1283918464548864, 0, 3164289446674432, 55374316765406946, 72057594037927936, 0, -374813367582081024, 0, -3107783046808469504, 923748677396909262, -11800622287971647488, 0, 21035720123168587776, 96783149633879652531, 0, -109418989131512359209, -51843718294313893888, -239163927290883595538, -907252805884427403264, 1487053511440341707042, -1180591620717411303424, -3444946935063321704958, 0, 2235975693467879039132, 6140942214464815497216, 0, 0, 0, 50917917438909964353536, 0, -15134698330470961348608, 0, 193341395566127472443392, -264853640485121695102674, 0, 0, -344649238497994142121984, -422686219174089851939997, -1585695123601484227067904, 0, 0, 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'prelabel': '2-24-24.5-c28-0', 'primitive': True, 'rational': True, 'root_analytic_conductor': 10.918073923342954, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c28-0', 'trace_hash': 110285531781982783, 'z1': {'__RealLiteral__': 0, 'data': '0.47115282267813737411299623663', 'prec': 103}}
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lfunc_instances • Show schema
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id: 24592733
{'Lhash': '597257158467165375910077773103', 'Lhash_array': ['597257158467165375910077773103'], 'factors': ['2-24-24.5-c28-0-40'], 'label': '2-24-24.5-c28-0-40', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/24/29/h/a/5/1'}
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id: 24460247
{'Lhash': '597257158467165375910077773103', 'Lhash_array': ['597257158467165375910077773103'], 'factors': ['2-24-24.5-c28-0-40'], 'label': '2-24-24.5-c28-0-40', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/24/29/h/a'}