Query:
/api/lfunc_search/?_offset=0
{'algebraic': True, 'analytic_conductor': 3838.0509862188833, 'bad_primes': [2, 3, 5, 7], 'central_character': '1.1', 'conductor': 1102500, 'conductor_radical': 210, 'degree': 4, 'dirichlet_coefficients': [1, -4, 6, 12, 0, -24, -14, -32, 27, 0, -13, 72, -65, 56, 0, 80, 35, -108, 6, 0, -84, 52, -76, -192, 0, 260, 108, -168, -70, 0, 303, -192, -78, -140, 0, 324, 103, -24, -390, 0, 313, 336, -258, -156, 0, 304, 478, 480, 147, 0, 210, -780, 273, -432, 0, 448, 36, 280, 69, 0, 1213, -1212, -378, 448, 0, 312, -45, 420, -456, 0, 1589, -864, -118, -412, 0, 72, 182, 1560, 401, 0, 405, -1252, 141, -1008, 0, 1032, -420, 416, 908, 0, 910, -912, 1818, -1912, 0, -1152, -2660, -588, -351, 0], 'euler11': [1, 13, 164, 17303, 1771561], 'euler13': [1, 65, 5168, 142805, 4826809], 'euler17': [1, -35, 9850, -171955, 24137569], 'euler19': [1, -6, 3566, -41154, 47045881], 'euler2': [1, 4, 4, 0, 0], 'euler23': [1, 76, 24649, 924692, 148035889], 'euler29': [1, 70, -22253, 1707230, 594823321], 'euler3': [1, -6, 9, 0, 0], 'euler31': [1, -303, 68704, -9026673, 887503681], 'euler37': [1, -103, 40452, -5217259, 2565726409], 'euler41': [1, -313, 159794, -21572273, 4750104241], 'euler43': [1, 258, 62755, 20512806, 6321363049], 'euler47': [1, -478, 173318, -49627394, 10779215329], 'euler5': [1, 0, 0, 0, 0], 'euler53': [1, -273, 234816, -40643421, 22164361129], 'euler59': [1, -69, 310056, -14171151, 42180533641], 'euler61': [1, -1213, 821522, -275327953, 51520374361], 'euler67': [1, 45, 579170, 13534335, 90458382169], 'euler7': [1, 14, 49, 0, 0], 'euler71': [1, -1589, 1346770, -568720579, 128100283921], 'euler73': [1, 118, 184274, 45904006, 151334226289], 'euler79': [1, -401, -93972, -197708639, 243087455521], 'euler83': [1, -141, 1114392, -80621967, 326940373369], 'euler89': [1, -908, 1453478, -640111852, 496981290961], 'euler97': [1, 2660, 3594246, 2427710180, 832972004929], 'euler_factors': [[1, 4, 4, 0, 0], [1, -6, 9, 0, 0], [1, 0, 0, 0, 0], [1, 14, 49, 0, 0], [1, 13, 164, 17303, 1771561], [1, 65, 5168, 142805, 4826809], [1, -35, 9850, -171955, 24137569], [1, -6, 3566, -41154, 47045881], [1, 76, 24649, 924692, 148035889], [1, 70, -22253, 1707230, 594823321], [1, -303, 68704, -9026673, 887503681], [1, -103, 40452, -5217259, 2565726409], [1, -313, 159794, -21572273, 4750104241], [1, 258, 62755, 20512806, 6321363049], [1, -478, 173318, -49627394, 10779215329], [1, -273, 234816, -40643421, 22164361129], [1, -69, 310056, -14171151, 42180533641], [1, -1213, 821522, -275327953, 51520374361], [1, 45, 579170, 13534335, 90458382169], [1, -1589, 1346770, -568720579, 128100283921], [1, 118, 184274, 45904006, 151334226289], [1, -401, -93972, -197708639, 243087455521], [1, -141, 1114392, -80621967, 326940373369], [1, -908, 1453478, -640111852, 496981290961], [1, 2660, 3594246, 2427710180, 832972004929]], 'id': 20184497, 'index': 17, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1050/4/a/bb'], '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': '4-1050e2-1.1-c3e2-0-17', 'motivic_weight': 3, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [3, 3], 'order_of_vanishing': 0, 'prelabel': '4-1050e2-1.1-c3e2-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 7.870959630567779, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c3e2-0', 'trace_hash': 35098675403447132, 'z1': {'__RealLiteral__': 0, 'data': '0.57817451270768014249303048235', 'prec': 103}}