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lfunc_lfunctions • Show schema
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{'Lhash': '1622710104049206586449039565368', 'a10': [2.251772522834803, 0.0], 'a2': [1.0, 0.0], 'a3': [-1.0, 0.0], 'a4': [1.0, 0.0], 'a5': [2.251772522834803, 0.0], 'a6': [-1.0, 0.0], 'a7': [3.436249571069981, 0.0], 'a8': [1.0, 0.0], 'a9': [1.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 48.05397193640656, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-1.0, 0]]], [3, [[1.0, 0], [1.0, 0]]], [17, [[1.0, 0], [1.0, 0]]], [59, [[1.0, 0], [1.0, 0]]]], 'bad_primes': [2, 3, 17, 59], 'central_character': '6018.1', 'coefficient_field': 'CDF', 'conductor': 6018, 'conductor_radical': 6018, 'degree': 2, 'euler_factors': [[[1.0, 0], [-1.0, 0]], [[1.0, 0], [1.0, 0]], [[1.0, 0], [-2.251772522834803, 0], [5.0, 0]], [[1.0, 0], [-3.436249571069981, 0], [7.0, 0]], [[1.0, 0], [-4.917320434850474, 0], [11.0, 0]], [[1.0, 0], [-2.893596780405241, 0], [13.0, 0]], [[1.0, 0], [1.0, 0]], [[1.0, 0], [-1.289997454863986, 0], [19.0, 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'5.28013505327259272284395179595520', '5.95095949005323329509761146768948', '6.35311022676010899076890634363783', '7.16258046051293120693006202607632', '7.983994445989674974614942567027293'], 'prelabel': '2-6018-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 6.932097224967821, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.28009256159153936207391914742', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.61755516512236721951446419328', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '2.75070915590016032023586819177', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 48.05397193640656, 'bad_primes': [2, 3, 17, 59], 'central_character': '1.1', 'conductor': 6018, 'conductor_radical': 6018, 'degree': 2, 'index': 103, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/6018/2/a/z/1/8'], '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': '2-6018-1.1-c1-0-103', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-6018-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 6.932097224967821, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.28009256159153936207391914742', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1622710104049206586449039565368', 'Lhash_array': ['1622710104049206586449039565368'], 'label': '2-6018-1.1-c1-0-103', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/6018/2/a/z/1/8'}