Query:
/api/lfunc_search/?_offset=0
Table lfunc_search
L-function search data
{'algebraic': True, 'analytic_conductor': 75.8614868339317, 'bad_primes': [83], 'central_character': '83.82', 'conductor': 83, 'conductor_radical': 83, 'degree': 2, 'dirichlet_coefficients': [1, 0, -617, 4096, 0, 0, -231577, 0, -150752, 0, -3198553, -2527232, 0, 0, 0, 16777216, -30626737, 0, 0, 0, 142883009, 0, -231011422, 0, 244140625, 0, 420913081, -948539392, 991523567, 0, -101624713, 0, 1973507201, 0, 0, -617480192, -5012228257, 0, 0, 0, -9474786718, 0, 0, -13101273088, 0, 0, 0, -10351542272, 39786619728, 0, 18896696729, 0, 0, 0, 0, 0, 0, 0, -48671434393, 0, 86434023647, 0, 34910695904, 68719476736, 0, 0, 0, -125447114752, 142534047374, 0, 0, 0, 0, 0, -150634765625, 0, 740711308081, 0, 0, 0, -179587577345, 0, 326940373369, 585248804864, 0, 0, -611770040839, 0, 0, 0, 0, -946222784512, 62702447921, 0, 0, 0, 0, 0, 482188261856, 1000000000000], 'euler11': [1, 3198553, 3138428376721], 'euler13': [1, 0, -23298085122481], 'euler17': [1, 30626737, 582622237229761], 'euler19': [1, 0, -2213314919066161], 'euler2': [1, 0, -4096], 'euler23': [1, 231011422, 21914624432020321], 'euler29': [1, -991523567, 353814783205469041], 'euler3': [1, 617, 531441], 'euler31': [1, 101624713, 787662783788549761], 'euler37': [1, 5012228257, 6582952005840035281], 'euler41': [1, 9474786718, 22563490300366186081], 'euler43': [1, 0, -39959630797262576401], 'euler47': [1, 0, -116191483108948578241], 'euler5': [1, 0, -244140625], 'euler53': [1, 0, -491258904256726154641], 'euler59': [1, 48671434393, 1779197418239532716881], 'euler61': [1, -86434023647, 2654348974297586158321], 'euler67': [1, 0, -8182718904632857144561], 'euler7': [1, 231577, 13841287201], 'euler71': [1, 0, -16409682740640811134241], 'euler73': [1, 0, -22902048046490258711521], 'euler79': [1, 0, -59091511031674153381441], 'euler83': [1, -326940373369, 0], 'euler89': [1, 0, -246990403565262140303521], 'euler97': [1, 0, -693842360995438000295041], 'euler_factors': [[1, 0, -4096], [1, 617, 531441], [1, 0, -244140625], [1, 231577, 13841287201], [1, 3198553, 3138428376721], [1, 0, -23298085122481], [1, 30626737, 582622237229761], [1, 0, -2213314919066161], [1, 231011422, 21914624432020321], [1, -991523567, 353814783205469041], [1, 101624713, 787662783788549761], [1, 5012228257, 6582952005840035281], [1, 9474786718, 22563490300366186081], [1, 0, -39959630797262576401], [1, 0, -116191483108948578241], [1, 0, -491258904256726154641], [1, 48671434393, 1779197418239532716881], [1, -86434023647, 2654348974297586158321], [1, 0, -8182718904632857144561], [1, 0, -16409682740640811134241], [1, 0, -22902048046490258711521], [1, 0, -59091511031674153381441], [1, -326940373369, 0], [1, 0, -246990403565262140303521], [1, 0, -693842360995438000295041]], 'id': 24082862, 'index': 18, 'instance_types': ['CMF', 'CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/83/13/b/a', 'ModularForm/GL2/Q/holomorphic/83/13/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-c12-0-18', 'motivic_weight': 12, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [12], 'order_of_vanishing': 0, 'prelabel': '2-83-83.82-c12-0', 'primitive': True, 'rational': True, 'root_analytic_conductor': 8.709849989174998, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c12-0', 'trace_hash': 2213618715861282151, 'z1': {'__RealLiteral__': 0, 'data': '0.30862920651179148533908835116', 'prec': 97}}