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Table lfunc_search

L-function search data

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{'algebraic': True, 'analytic_conductor': 19.094488940447636, 'bad_primes': [83], 'central_character': '83.82', 'conductor': 83, 'conductor_radical': 83, 'degree': 2, 'dirichlet_coefficients': [1, 0, -29, 64, 0, 0, -61, 0, 112, 0, 587, -1856, 0, 0, 0, 4096, -4201, 0, 0, 0, 1769, 0, 8066, 0, 15625, 0, 17893, -3904, 46703, 0, 40907, 0, -17023, 0, 0, 7168, 10919, 0, 0, 0, 5042, 0, 0, 37568, 0, 0, 0, -118784, -113928, 0, 121829, 0, 0, 0, 0, 0, 0, 0, -188917, 0, 435287, 0, -6832, 262144, 0, 0, 0, -268864, -233914, 0, 0, 0, 0, 0, -453125, 0, -35807, 0, 0, 0, -600545, 0, -571787, 113216, 0, 0, -1354387, 0, 0, 0, 0, 516224, -1186303, 0, 0, 0, 0, 0, 65744, 1000000], 'euler11': [1, -587, 1771561], 'euler13': [1, 0, -4826809], 'euler17': [1, 4201, 24137569], 'euler19': [1, 0, -47045881], 'euler2': [1, 0, -64], 'euler23': [1, -8066, 148035889], 'euler29': [1, -46703, 594823321], 'euler3': [1, 29, 729], 'euler31': [1, -40907, 887503681], 'euler37': [1, -10919, 2565726409], 'euler41': [1, -5042, 4750104241], 'euler43': [1, 0, -6321363049], 'euler47': [1, 0, -10779215329], 'euler5': [1, 0, -15625], 'euler53': [1, 0, -22164361129], 'euler59': [1, 188917, 42180533641], 'euler61': [1, -435287, 51520374361], 'euler67': [1, 0, -90458382169], 'euler7': [1, 61, 117649], 'euler71': [1, 0, -128100283921], 'euler73': [1, 0, -151334226289], 'euler79': [1, 0, -243087455521], 'euler83': [1, 571787, 0], 'euler89': [1, 0, -496981290961], 'euler97': [1, 0, -832972004929], 'euler_factors': [[1, 0, -64], [1, 29, 729], [1, 0, -15625], [1, 61, 117649], [1, -587, 1771561], [1, 0, -4826809], [1, 4201, 24137569], [1, 0, -47045881], [1, -8066, 148035889], [1, -46703, 594823321], [1, -40907, 887503681], [1, -10919, 2565726409], [1, -5042, 4750104241], [1, 0, -6321363049], [1, 0, -10779215329], [1, 0, -22164361129], [1, 188917, 42180533641], [1, -435287, 51520374361], [1, 0, -90458382169], [1, 0, -128100283921], [1, 0, -151334226289], [1, 0, -243087455521], [1, 571787, 0], [1, 0, -496981290961], [1, 0, -832972004929]], 'id': 22902586, 'index': 17, 'instance_types': ['CMF', 'CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/83/7/b/a', 'ModularForm/GL2/Q/holomorphic/83/7/b/a/82/1'], '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': '2-83-83.82-c6-0-17', 'motivic_weight': 6, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [6], 'order_of_vanishing': 0, 'prelabel': '2-83-83.82-c6-0', 'primitive': True, 'rational': True, 'root_analytic_conductor': 4.369724126354847, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c6-0', 'trace_hash': 1425596598238289349, 'z1': {'__RealLiteral__': 0, 'data': '0.948529302120399260736909302109674', 'prec': 110}}