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lfunc_lfunctions • Show schema
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{'Lhash': '1388685928989399549705594613888', 'a10': [-6.0257404595211, 15.501028492055896], 'a2': [1.4449046119076898, 1.3828415174877735], 'a3': [0.0, 0.0], 'a4': [0.1754986750242231, 3.9961481723110244], 'a5': [3.1822113956137477, 7.682537909628925], 'a6': [0.0, 0.0], 'a7': [3.673696284767515, 3.673696284767515], 'a8': [-5.272460757778381, 6.016739778126275], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 7.847431613576552, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-1.4449046119076898, -1.3828415174877735]]], [3, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 3], 'central_character': '288.163', 'coefficient_field': 'CDF', 'conductor': 288, 'conductor_radical': 6, 'conjugate': '3271978766835880133020671068088', 'degree': 2, 'euler_factors': [[[1.0, 0], [-1.4449046119076898, -1.3828415174877735]], [[1.0, 0], [0, 0]], [[1.0, 0], [-3.1822113956137477, -7.682537909628925], [-17.67766952966369, 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'4.80373618685387254122731803199268', '5.82185121494576177049789801142590', '7.25645616878292101812267039487665', '8.635130446731883692829856576040872', '9.595349621386373371280495314042609', '10.26603888424986103181091035173651', '11.47191305329245337586756210187191'], 'prelabel': '2-288-32.3-c2-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.8013267595153106, 'root_angle': -0.7224255633694194, 'root_number': '-0.6432768392198306 - 0.7656336644396876*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.361212781685', 'prec': 50}, 'spectral_label': 'c2-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.09548003901025944850315853619', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.22628577750773223066949878013', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.29782376605843941660410498698', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 7.847431613576552, 'bad_primes': [2, 3], 'central_character': '32.3', 'conductor': 288, 'conductor_radical': 6, 'degree': 2, 'index': 14, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/288/3/u/a/163/5'], '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': '2-288-32.3-c2-0-14', 'motivic_weight': 2, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [2], 'order_of_vanishing': 0, 'prelabel': '2-288-32.3-c2-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.8013267595153106, 'root_angle': -0.3612127816847097, 'self_dual': False, 'spectral_label': 'c2-0', 'z1': {'__RealLiteral__': 0, 'data': '1.09548003901025944850315853619', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1388685928989399549705594613888', 'Lhash_array': ['1388685928989399549705594613888'], 'label': '2-288-32.3-c2-0-14', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/288/3/u/a/163/5'}