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lfunc_lfunctions • Show schema
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{'Lhash': '3309896157344911314922418121250', 'a10': [1.9300532555698846, -1.1538098581688905], 'a2': [-0.7256534630822242, -1.2138480347707348], 'a3': [-0.17381286576220978, -1.7233076010090387], 'a4': [-0.94685410303355, 1.7616660601738718], 'a5': [0.0, 1.5900287352975142], 'a6': [-1.9657056368216979, 1.4615065341514568], 'a7': [0.0, -4.713509532722264], 'a8': [2.825482843964266, -0.1290220851777067], 'a9': [-2.939578175391056, 0.5990660654423596], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2.2038710957873398, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0.7256534630822242, 1.2138480347707348]]], [3, [[1.0, 0], [0.17381286576220978, 1.7233076010090387]]], [23, [[1.0, 0], [1.0, 0]]]], 'bad_primes': [2, 3, 23], 'central_character': '276.47', 'coefficient_field': 'CDF', 'conductor': 276, 'conductor_radical': 138, 'conjugate': '571194372306880270726590705689', 'degree': 2, 'euler_factors': [[[1.0, 0], 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'data': '4.80184906886862181246995557522', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '5.28233920800409565914121207455', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 2.2038710957873398, 'bad_primes': [2, 3, 23], 'central_character': '12.11', 'conductor': 276, 'conductor_radical': 138, 'degree': 2, 'index': 39, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/276/2/c/b/47/7'], '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': '2-276-12.11-c1-0-39', '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': '2-276-12.11-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.484544070005111, 'root_angle': -0.4375066462799727, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.61104767887065526249458041729', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '3309896157344911314922418121250', 'Lhash_array': ['3309896157344911314922418121250'], 'label': '2-276-12.11-c1-0-39', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/276/2/c/b/47/7'}