Query:
/api/lfunc_search/?_offset=0
Table lfunc_search
L-function search data
{'algebraic': True, 'analytic_conductor': 327991.5671351532, 'bad_primes': [2, 5, 13], 'central_character': '1.1', 'conductor': 1265319018496000000, 'conductor_radical': 130, 'degree': 12, 'dirichlet_coefficients': [1, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, -3, 0, -4, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 18, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'euler11': [1, 0, -30, 0, 447, 0, -4912, 0, 54087, 0, -439230, 0, 1771561], 'euler13': [1, 0, -9, -16, -117, 0, 2197, 0, 0, 0, 0, 0, 0], 'euler17': [1, 0, 102, 0, 4335, 0, 98260, 0, 1252815, 0, 8519142, 0, 24137569], 'euler19': [1, 0, -18, 0, 423, 0, -3800, 0, 152703, 0, -2345778, 0, 47045881], 'euler2': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'euler23': [1, -12, 114, -672, 4539, -25068, 142792, -576564, 2401131, -8176224, 31901874, -77236116, 148035889], 'euler29': [1, 12, 186, 1428, 13143, 75792, 505276, 2197968, 11053263, 34827492, 131554266, 246133788, 594823321], 'euler3': [1, 0, 6, 4, 27, 12, 112, 36, 243, 108, 486, 0, 729], 'euler31': [1, 0, -126, 0, 7911, 0, -303536, 0, 7602471, 0, -116363646, 0, 887503681], 'euler37': [1, 0, -78, 0, 5271, 0, -214292, 0, 7215999, 0, -146184558, 0, 2565726409], 'euler41': [1, 0, -138, 0, 9663, 0, -461068, 0, 16243503, 0, -389955018, 0, 4750104241], 'euler43': [1, 12, 210, 1984, 20691, 148860, 1163976, 6400980, 38257659, 157741888, 717948210, 1764101316, 6321363049], 'euler47': [1, 0, -66, 0, 5055, 0, -172204, 0, 11166495, 0, -322058946, 0, 10779215329], 'euler5': [1, 0, 3, 0, 3, 0, 1, 0, 0, 0, 0, 0, 0], 'euler53': [1, 12, 186, 2220, 21495, 180408, 1531852, 9561624, 60379455, 330506940, 1467629466, 5018345916, 22164361129], 'euler59': [1, 0, -138, 0, 13767, 0, -903112, 0, 47922927, 0, -1672195818, 0, 42180533641], 'euler61': [1, 12, 210, 1444, 20583, 143136, 1685292, 8731296, 76589343, 327760564, 2907626610, 10135155612, 51520374361], 'euler67': [1, 0, -162, 0, 19431, 0, -1405100, 0, 87225759, 0, -3264481602, 0, 90458382169], 'euler7': [1, 0, -18, 0, 207, 0, -1676, 0, 10143, 0, -43218, 0, 117649], 'euler71': [1, 0, 6, 0, -417, 0, -224296, 0, -2102097, 0, 152470086, 0, 128100283921], 'euler73': [1, 0, -150, 0, 4479, 0, 230236, 0, 23868591, 0, -4259736150, 0, 151334226289], 'euler79': [1, -24, 330, -2632, 28143, -363312, 4190028, -28701648, 175640463, -1297678648, 12853526730, -73849353576, 243087455521], 'euler83': [1, 0, -354, 0, 61575, 0, -6424108, 0, 424190175, 0, -16800245634, 0, 326940373369], 'euler89': [1, 0, 42, 0, 10527, 0, 115148, 0, 83384367, 0, 2635174122, 0, 496981290961], 'euler97': [1, 0, -378, 0, 64719, 0, -7267052, 0, 608941071, 0, -33464068218, 0, 832972004929], 'euler_factors': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 6, 4, 27, 12, 112, 36, 243, 108, 486, 0, 729], [1, 0, 3, 0, 3, 0, 1, 0, 0, 0, 0, 0, 0], [1, 0, -18, 0, 207, 0, -1676, 0, 10143, 0, -43218, 0, 117649], [1, 0, -30, 0, 447, 0, -4912, 0, 54087, 0, -439230, 0, 1771561], [1, 0, -9, -16, -117, 0, 2197, 0, 0, 0, 0, 0, 0], [1, 0, 102, 0, 4335, 0, 98260, 0, 1252815, 0, 8519142, 0, 24137569], [1, 0, -18, 0, 423, 0, -3800, 0, 152703, 0, -2345778, 0, 47045881], [1, -12, 114, -672, 4539, -25068, 142792, -576564, 2401131, -8176224, 31901874, -77236116, 148035889], [1, 12, 186, 1428, 13143, 75792, 505276, 2197968, 11053263, 34827492, 131554266, 246133788, 594823321], [1, 0, -126, 0, 7911, 0, -303536, 0, 7602471, 0, -116363646, 0, 887503681], [1, 0, -78, 0, 5271, 0, -214292, 0, 7215999, 0, -146184558, 0, 2565726409], [1, 0, -138, 0, 9663, 0, -461068, 0, 16243503, 0, -389955018, 0, 4750104241], [1, 12, 210, 1984, 20691, 148860, 1163976, 6400980, 38257659, 157741888, 717948210, 1764101316, 6321363049], [1, 0, -66, 0, 5055, 0, -172204, 0, 11166495, 0, -322058946, 0, 10779215329], [1, 12, 186, 2220, 21495, 180408, 1531852, 9561624, 60379455, 330506940, 1467629466, 5018345916, 22164361129], [1, 0, -138, 0, 13767, 0, -903112, 0, 47922927, 0, -1672195818, 0, 42180533641], [1, 12, 210, 1444, 20583, 143136, 1685292, 8731296, 76589343, 327760564, 2907626610, 10135155612, 51520374361], [1, 0, -162, 0, 19431, 0, -1405100, 0, 87225759, 0, -3264481602, 0, 90458382169], [1, 0, 6, 0, -417, 0, -224296, 0, -2102097, 0, 152470086, 0, 128100283921], [1, 0, -150, 0, 4479, 0, 230236, 0, 23868591, 0, -4259736150, 0, 151334226289], [1, -24, 330, -2632, 28143, -363312, 4190028, -28701648, 175640463, -1297678648, 12853526730, -73849353576, 243087455521], [1, 0, -354, 0, 61575, 0, -6424108, 0, 424190175, 0, -16800245634, 0, 326940373369], [1, 0, 42, 0, 10527, 0, 115148, 0, 83384367, 0, 2635174122, 0, 496981290961], [1, 0, -378, 0, 64719, 0, -7267052, 0, 608941071, 0, -33464068218, 0, 832972004929]], 'id': 23257133, 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1040/2/k/c'], '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': '12-1040e6-1.1-c1e6-0-1', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0, 0, 0, 0, 0, 0], 'nu_real_doubled': [1, 1, 1, 1, 1, 1], 'order_of_vanishing': 0, 'prelabel': '12-1040e6-1.1-c1e6-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 2.881742842484937, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e6-0', 'trace_hash': 2245107260493899025, 'z1': {'__RealLiteral__': 0, 'data': '0.25157750600542780009122957912', 'prec': 97}}