Query:
/api/lfunc_search/?_offset=0
{'algebraic': True, 'analytic_conductor': 2069948.1449300856, 'bad_primes': [2, 3, 5], 'central_character': '1.1', 'conductor': 10077696000, 'conductor_radical': 30, 'degree': 6, 'dirichlet_coefficients': [1, 0, 0, 0, 15, 0, 4, 0, 0, 0, -5, 0, 7, 0, 0, 0, 155, 0, 50, 0, 0, 0, -285, 0, 150, 0, 0, 0, 115, 0, 115, 0, 0, 0, 60, 0, -384, 0, 0, 0, 580, 0, 797, 0, 0, 0, 145, 0, -218, 0, 0, 0, -400, 0, -75, 0, 0, 0, -380, 0, -152, 0, 0, 0, 105, 0, -2, 0, 0, 0, -40, 0, -980, 0, 0, 0, -20, 0, -1013, 0, 0, 0, -270, 0, 2325, 0, 0, 0, 1020, 0, 28, 0, 0, 0, 750, 0, 720, 0, 0, 0], 'euler11': [1, 5, 1105, -17950, 1470755, 8857805, 2357947691], 'euler13': [1, -7, 5822, -37183, 12790934, -33787663, 10604499373], 'euler17': [1, -155, 20347, -1564790, 99964811, -3741323195, 118587876497], 'euler19': [1, -50, 3914, -317888, 26846126, -2352294050, 322687697779], 'euler2': [1, 0, 0, 0, 0, 0, 0], 'euler23': [1, 285, 52701, 6381690, 641213067, 42190228365, 1801152661463], 'euler29': [1, -115, 25759, 830870, 628236251, -68404681915, 14507145975869], 'euler3': [1, 0, 0, 0, 0, 0, 0], 'euler31': [1, -115, 60141, -5913626, 1791660531, -102062923315, 26439622160671], 'euler37': [1, 384, 84036, 16234306, 4256675508, 985238941056, 129961739795077], 'euler41': [1, -580, 296575, -83865640, 20440245575, -2755060459780, 327381934393961], 'euler43': [1, -797, 381041, -121376222, 30295426787, -5038126350053, 502592611936843], 'euler47': [1, -145, 62317, -44496910, 6469937891, -1562986222705, 1119130473102767], 'euler5': [1, -15, 75, -125, 0, 0, 0], 'euler53': [1, 400, 388459, 106443280, 57832610543, 8865744451600, 3299763591802133], 'euler59': [1, 380, 588745, 150882920, 120915859355, 16028602783580, 8662995818654939], 'euler61': [1, 152, 593468, 63933158, 134705960108, 7831096902872, 11694146092834141], 'euler67': [1, 2, 658290, -19566248, 197989275270, 180916764338, 27206534396294947], 'euler7': [1, -4, 234, 5554, 80262, -470596, 40353607], 'euler71': [1, 40, 396361, -187438400, 141861961871, 5124011356840, 45848500718449031], 'euler73': [1, 980, 1431584, 778921274, 556910512928, 148307541763220, 58871586708267913], 'euler79': [1, 1013, 1531332, 908300089, 755006397948, 246247592442773, 119851595982618319], 'euler83': [1, 270, 1413933, 224225820, 808468508271, 88273900809630, 186940255267540403], 'euler89': [1, -1020, 2161707, -1313072760, 1523936422083, -506920916780220, 350356403707485209], 'euler97': [1, -720, 2703456, -1286818562, 2467371297888, -599739843548880, 760231058654565217], 'euler_factors': [[1, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0], [1, -15, 75, -125, 0, 0, 0], [1, -4, 234, 5554, 80262, -470596, 40353607], [1, 5, 1105, -17950, 1470755, 8857805, 2357947691], [1, -7, 5822, -37183, 12790934, -33787663, 10604499373], [1, -155, 20347, -1564790, 99964811, -3741323195, 118587876497], [1, -50, 3914, -317888, 26846126, -2352294050, 322687697779], [1, 285, 52701, 6381690, 641213067, 42190228365, 1801152661463], [1, -115, 25759, 830870, 628236251, -68404681915, 14507145975869], [1, -115, 60141, -5913626, 1791660531, -102062923315, 26439622160671], [1, 384, 84036, 16234306, 4256675508, 985238941056, 129961739795077], [1, -580, 296575, -83865640, 20440245575, -2755060459780, 327381934393961], [1, -797, 381041, -121376222, 30295426787, -5038126350053, 502592611936843], [1, -145, 62317, -44496910, 6469937891, -1562986222705, 1119130473102767], [1, 400, 388459, 106443280, 57832610543, 8865744451600, 3299763591802133], [1, 380, 588745, 150882920, 120915859355, 16028602783580, 8662995818654939], [1, 152, 593468, 63933158, 134705960108, 7831096902872, 11694146092834141], [1, 2, 658290, -19566248, 197989275270, 180916764338, 27206534396294947], [1, 40, 396361, -187438400, 141861961871, 5124011356840, 45848500718449031], [1, 980, 1431584, 778921274, 556910512928, 148307541763220, 58871586708267913], [1, 1013, 1531332, 908300089, 755006397948, 246247592442773, 119851595982618319], [1, 270, 1413933, 224225820, 808468508271, 88273900809630, 186940255267540403], [1, -1020, 2161707, -1313072760, 1523936422083, -506920916780220, 350356403707485209], [1, -720, 2703456, -1286818562, 2467371297888, -599739843548880, 760231058654565217]], 'id': 20928611, 'index': 4, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/2160/4/a/bq'], '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': '6-2160e3-1.1-c3e3-0-4', 'motivic_weight': 3, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [3, 3, 3], 'order_of_vanishing': 0, 'prelabel': '6-2160e3-1.1-c3e3-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 11.289115360044814, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c3e3-0', 'trace_hash': 2222090595386368921, 'z1': {'__RealLiteral__': 0, 'data': '0.42051496302280679173631000979', 'prec': 103}}