Query:
/api/lfunc_search/?_offset=0
{'algebraic': True, 'analytic_conductor': 1671.8550095969456, 'bad_primes': [3, 7, 11], 'central_character': '1.1', 'conductor': 480249, 'conductor_radical': 231, 'degree': 4, 'dirichlet_coefficients': [1, -3, 0, 0, -2, 0, 14, 3, 0, 6, 22, 0, -134, -42, 0, -1, 26, 0, 152, 0, 0, -66, -178, 0, -99, 402, 0, 0, -190, 0, 346, 168, 0, -78, -28, 0, -206, -456, 0, -6, -244, 0, 242, 0, 0, 534, -920, 0, 147, 297, 0, 0, 550, 0, -44, 42, 0, 570, 412, 0, 252, -1038, 0, -567, 268, 0, 16, 0, 0, 84, 572, 0, -1026, 618, 0, 0, 308, 0, -52, 2, 0, 732, -138, 0, -52, -726, 0, 66, -1512, 0, -1876, 0, 0, 2760, -304, 0, -1106, -441, 0, 0], 'euler11': [1, -22, 121, 0, 0], 'euler13': [1, 134, 8735, 294398, 4826809], 'euler17': [1, -26, 5518, -127738, 24137569], 'euler19': [1, -152, 16497, -1042568, 47045881], 'euler2': [1, 3, 9, 24, 64], 'euler23': [1, 178, 31330, 2165726, 148035889], 'euler29': [1, 190, 24503, 4633910, 594823321], 'euler3': [1, 0, 0, 0, 0], 'euler31': [1, -346, 89178, -10307686, 887503681], 'euler37': [1, 206, 74027, 10434518, 2565726409], 'euler41': [1, 244, 119426, 16816724, 4750104241], 'euler43': [1, -242, 61730, -19240694, 6321363049], 'euler47': [1, 920, 417433, 95517160, 10779215329], 'euler5': [1, 2, 103, 250, 15625], 'euler53': [1, -550, 353806, -81882350, 22164361129], 'euler59': [1, -412, 430069, -84616148, 42180533641], 'euler61': [1, -252, 318286, -57199212, 51520374361], 'euler67': [1, -16, 588233, -4812208, 90458382169], 'euler7': [1, -14, 49, 0, 0], 'euler71': [1, -572, 616318, -204725092, 128100283921], 'euler73': [1, 1026, 625471, 399131442, 151334226289], 'euler79': [1, 52, 985422, 25638028, 243087455521], 'euler83': [1, 138, 675882, 78906606, 326940373369], 'euler89': [1, 1512, 1596526, 1065913128, 496981290961], 'euler97': [1, 1106, 2130822, 1009416338, 832972004929], 'euler_factors': [[1, 3, 9, 24, 64], [1, 0, 0, 0, 0], [1, 2, 103, 250, 15625], [1, -14, 49, 0, 0], [1, -22, 121, 0, 0], [1, 134, 8735, 294398, 4826809], [1, -26, 5518, -127738, 24137569], [1, -152, 16497, -1042568, 47045881], [1, 178, 31330, 2165726, 148035889], [1, 190, 24503, 4633910, 594823321], [1, -346, 89178, -10307686, 887503681], [1, 206, 74027, 10434518, 2565726409], [1, 244, 119426, 16816724, 4750104241], [1, -242, 61730, -19240694, 6321363049], [1, 920, 417433, 95517160, 10779215329], [1, -550, 353806, -81882350, 22164361129], [1, -412, 430069, -84616148, 42180533641], [1, -252, 318286, -57199212, 51520374361], [1, -16, 588233, -4812208, 90458382169], [1, -572, 616318, -204725092, 128100283921], [1, 1026, 625471, 399131442, 151334226289], [1, 52, 985422, 25638028, 243087455521], [1, 138, 675882, 78906606, 326940373369], [1, 1512, 1596526, 1065913128, 496981290961], [1, 1106, 2130822, 1009416338, 832972004929]], 'id': 20178132, 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/693/4/a/h'], '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': '4-693e2-1.1-c3e2-0-1', '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': 2, 'prelabel': '4-693e2-1.1-c3e2-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 6.394397832007191, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c3e2-0', 'trace_hash': 43587073584404632, 'z1': {'__RealLiteral__': 0, 'data': '1.10613199601176443737102633840', 'prec': 103}}