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  • lfunc_lfunctions • Show schema
    {'Lhash': '1777460103465459258016127933441', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [-0.4706834198711606, 0.0], 'a4': [0.0, 0.0], 'a5': [0.0, 0.0], 'a6': [0.0, 0.0], 'a7': [2.7198239580007098, 0.0], 'a8': [0.0, 0.0], 'a9': [-2.778457118258389, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 60.68630553617312, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [0, 0]]], [19, [[1.0, 0], [1.0, 0]]]], 'bad_primes': [2, 5, 19], 'central_character': '7600.1', 'coefficient_field': 'CDF', 'conductor': 7600, 'conductor_radical': 190, 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0.4706834198711606, 0], [3.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [-2.7198239580007098, 0], [7.0, 0]], [[1.0, 0], [-5.556914236516778, 0], [11.0, 0]], [[1.0, 0], [2.027597656387938, 0], [13.0, 0]], [[1.0, 0], [-3.778457118258389, 0], [17.0, 0]], [[1.0, 0], [1.0, 0]], [[1.0, 0], [5.778457118258388, 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0]]], 'gamma_factors': [[], [0]], 'group': 'GL2', 'index': 140, 'label': '2-7600-1.1-c1-0-140', 'load_key': 'CMFs-workshop', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [1], 'order_of_vanishing': 1, 'origin': 'ModularForm/GL2/Q/holomorphic/7600/2/a/bp/1/2', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.046875', 'prec': 17}, 'plot_values': [-9.881467618947477e-61, 0.19996333674148645, 0.39869118689301053, 0.594910700083181, 0.7872774904663352, 0.9743476145314425, 1.1545582158101282, 1.3262187608350926, 1.4875141091745727, 1.6365199552041172, 1.7712305055584452, 1.889597653174211, 1.9895803982982678, 2.069202855306709, 2.1266188672164317, 2.1601810169469675, 2.168511663668127, 2.150573533418806, 2.1057373482926574, 2.0338439842510634, 1.935258703749102, 1.810915117954103, 1.662346697781249, 1.4917038767908872, 1.3017550748445905, 1.0958703202668347, 0.8779865587626761, 0.6525542054320729, 0.4244650148838962, 0.19896190367419975, 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'7.59116464603065883418496666908785'], 'prelabel': '2-7600-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 7.7901415607274505, 'root_angle': 0.5, 'root_number': '-1', 'self_dual': True, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.40216878621399549303345019019', 'prec': 100}, 'z2': {'__RealLiteral__': 0, 'data': '2.01764889940170312058276348551', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '3.25796457941323063961173566451', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 60.68630553617312, 'bad_primes': [2, 5, 19], 'central_character': '1.1', 'conductor': 7600, 'conductor_radical': 190, 'degree': 2, 'index': 140, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/7600/2/a/bp/1/2'], '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': '2-7600-1.1-c1-0-140', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [1], 'order_of_vanishing': 1, 'prelabel': '2-7600-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 7.7901415607274505, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.40216878621399549303345019019', 'prec': 100}}
  • lfunc_instances • Show schema
    {'Lhash': '1777460103465459258016127933441', 'Lhash_array': ['1777460103465459258016127933441'], 'factors': ['2-7600-1.1-c1-0-140'], 'label': '2-7600-1.1-c1-0-140', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/7600/2/a/bp/1/2'}