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  • lfunc_lfunctions • Show schema
    {'Lhash': '2533482094434853669484272099821', 'a10': [-6.54860733945285, 7.5574957435425825], 'a2': [1.6825070656623624, -1.081281634911195], 'a3': [0.08674369814535746, -0.6033156725895644], 'a4': [1.6616600520075457, -3.6385279814180733], 'a5': [-4.7974648680724865, 1.4086627842071484], 'a6': [-0.5064072717939445, -1.1088772497056378], 'a7': [-3.0288142850588886, -3.495438019227161], 'a8': [-1.1385187061862811, -7.9185715350474615], 'a9': [25.549844955967163, 7.502111369539657], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 13.570439301320347, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.5', 'prec': 7}, 'bad_lfactors': [[2, [[1.0, 0], [-1.6825070656623624, 1.081281634911195]]], [5, [[1.0, 0], [4.7974648680724865, -1.4086627842071484]]], [23, [[1.0, 0], [109.9950249863708, -8.251937848024777]]]], 'bad_primes': [2, 5, 23], 'central_character': '230.81', 'coefficient_field': 'CDF', 'conductor': 230, 'conductor_radical': 230, 'conjugate': 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'root_number': '-0.6284833529312639 + 0.7778230358431643*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.358161987485', 'prec': 40}, 'spectral_label': 'c3-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.99856497837710358092126818425', 'prec': 100}, 'z2': {'__RealLiteral__': 0, 'data': '3.82292441234174538914729168414', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '4.56624946181932224303624271212', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 13.570439301320347, 'bad_primes': [2, 5, 23], 'central_character': '23.12', 'conductor': 230, 'conductor_radical': 230, 'degree': 2, 'index': 18, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/230/4/g/d/81/4'], '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': '2-230-23.12-c3-0-18', 'motivic_weight': 3, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [3], 'order_of_vanishing': 0, 'prelabel': '2-230-23.12-c3-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.683807717745369, 'root_angle': 0.3581619874846493, 'self_dual': False, 'spectral_label': 'c3-0', 'z1': {'__RealLiteral__': 0, 'data': '1.99856497837710358092126818425', 'prec': 100}}
  • lfunc_instances • Show schema
    {'Lhash': '2533482094434853669484272099821', 'Lhash_array': ['2533482094434853669484272099821'], 'factors': ['2-230-23.12-c3-0-18'], 'label': '2-230-23.12-c3-0-18', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/230/4/g/d/81/4'}