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  • lfunc_lfunctions • Show schema
    {'Lhash': '1644316144404547648640898227345', 'a10': [-0.47139673682599764, -0.881921264348355], 'a2': [0.773010453362737, 0.6343932841636455], 'a3': [0.07501907138385383, 0.18111205957153528], 'a4': [0.19509032201612828, 0.9807852804032304], 'a5': [-0.9238795325112867, -0.3826834323650898], 'a6': [-0.05690574789194369, 0.1875931103489615], 'a7': [0.0, 0.0], 'a8': [-0.47139673682599764, 0.881921264348355], 'a9': [0.6799330641356, -0.6799330641356], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.5171576384043273, 'analytic_normalization': 0, 'bad_lfactors': [[2, [[1.0, 0], [-0.773010453362737, -0.6343932841636455]]], [5, [[1.0, 0], [0.9238795325112867, 0.3826834323650898]]], [19, [[1.0, 0], [-0.9238795325112867, 0.3826834323650898]]]], 'bad_primes': [2, 5, 19], 'central_character': '3040.2469', 'coefficient_field': 'CDF', 'conductor': 3040, 'conductor_radical': 190, 'conjugate': '1398859696346163438373286995830', 'degree': 2, 'euler_factors': [[[1.0, 0], 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'rational': False, 'root_analytic_conductor': 1.2317295313518821, 'root_angle': -0.109375, 'root_number': '0.77301045336273696081090660975836 - 0.63439328416364549821517161322522*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.109375', 'prec': 20}, 'spectral_label': 'c0-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.29713672214449542396498264868', 'prec': 100}, 'z2': {'__RealLiteral__': 0, 'data': '2.27121978707050885142336920998', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '3.31777758352774097978827016384', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 1.5171576384043273, 'bad_primes': [2, 5, 19], 'central_character': '3040.2469', 'conductor': 3040, 'conductor_radical': 190, 'degree': 2, 'index': 5, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/3040/1/cn/a/2469/7'], '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': '2-3040-3040.2469-c0-0-5', 'motivic_weight': 0, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [0], 'order_of_vanishing': 0, 'prelabel': '2-3040-3040.2469-c0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.2317295313518821, 'root_angle': -0.109375, 'self_dual': False, 'spectral_label': 'c0-0', 'z1': {'__RealLiteral__': 0, 'data': '1.29713672214449542396498264868', 'prec': 100}}
  • lfunc_instances • Show schema
    {'Lhash': '1644316144404547648640898227345', 'Lhash_array': ['1644316144404547648640898227345'], 'factors': ['2-3040-3040.2469-c0-0-5'], 'label': '2-3040-3040.2469-c0-0-5', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/3040/1/cn/a/2469/7'}