Query:
/api/lfunc_search/?_offset=0
{'algebraic': True, 'analytic_conductor': 93756857.93838827, 'bad_primes': [3, 5, 7], 'central_character': '1.1', 'conductor': 9845600625, 'conductor_radical': 105, 'degree': 8, 'dirichlet_coefficients': [1, -4, 0, -195, 500, 0, -1372, 968, 0, -2000, -3032, 0, 952, 5488, 0, 309, 50464, 0, -15672, -97500, 0, 12128, 89656, 0, 156250, -3808, 0, 267540, 152032, 0, -174768, -3180, 0, -201856, -686000, 0, 336624, 62688, 0, 484000, 831320, 0, 487304, 591240, 0, -358624, 1694344, 0, 1176490, -625000, 0, -185640, 1622704, 0, -1516000, -1328096, 0, -608128, 1791904, 0, -6305568, 699072, 0, 3911021, 476000, 0, -5721352, -9840480, 0, 2744000, 806800, 0, -2063992, -1346496, 0, 3056040, 4159904, 0, -9897216, 154500, 0, -3325280, -5170384, 0, 25232000, -1949216, 0, -2934976, 12345528, 0, -1306144, -17482920, 0, -6777376, -7836000, 0, 13936104, -4705960, 0, -30468750], 'euler11': [1, 3032, 8724556, -9607116968, -435979430040906, -187215531172417528, 3313148689087666765996, 22437557830990741426871752, 144209936106499234037676064081], 'euler13': [1, -952, 210831564, -26422048232, 18428705438718038, -1657944342660471944, 830123221453648333557996, -235205431677924773854601176, 15502932802662396215269535105521], 'euler17': [1, -50464, 1960031020, -46024396904864, 1066565176033263846, -18885589951567201005472, 330025763136605693456817580, -3486655352986072696098064678688, 28351092476867700887730107366063041], 'euler19': [1, 15672, 559905228, 38272837605240, 941509224802953686, 34211007906660474312360, 447368020576790092266084588, 11193091216506544879319110598568, 638411683925748518131605316913942641], 'euler2': [1, 4, 211, 656, 39588, 83968, 3457024, 8388608, 268435456], 'euler23': [1, -89656, 4501325212, 69687633399784, -14152756109912601690, 237274227540791687503448, 52183126426235688786211884508, -3538864345925074482707249207239688, 134393854047545109686936775588697536481], 'euler29': [1, -152032, 21473699900, 2815235970024608, -382873999845344403146, 48562472263572119686211872, 6389676191254491671372003351900, -780356342640760021946811056889900128, 88540901833145211536614766025207452637361], 'euler3': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler31': [1, 174768, 55891141180, 3637198052560944, 1354424009706125448198, 100068826465389947581880784, 42306460348770301611085513918780, 3639632101360254540273669676094710608, 572964121067545096123347421337293637543041], 'euler37': [1, -336624, 92883209980, -39975242594106384, 23035772168408103584406, -3794924818305575435818917072, 837069181708535288931856155696220, -287992568846827398122845239304939693488, 81217248802771228597652036390959994837496721], 'euler41': [1, -831320, 573127348636, -181506743184224680, 87228935740773918327846, -35349213973348823367359583080, 21738277418034421796186885997202396, -6140860334420605731692809636854205060120, 1438626275603521989270100382252682485138269921], 'euler43': [1, -487304, 471477191052, -161247674046157384, 171589359138241375519670, -43830118803460751129212464088, 34835260740487680652172019569562348, -9786728567651675871847741250565644522072, 5459046029871041534743397034507955551606171601], 'euler47': [1, -1694344, 1687980559676, -1587664985783234536, 1359388414544481144089158, -804347789347346812737709910168, 433248882995410995177173171242304444, -220321361008752259522216854860906666757368, 65877941798660252683780571409941608871644628161], 'euler5': [1, -500, 93750, -7812500, 244140625, 0, 0, 0, 0], 'euler53': [1, -1622704, 4508893590556, -4582392561753692432, 7501982733294741785195670, -5382987589398270448438240613584, 6222030856301165872690417541415642364, -2630465246610532912098783427681622969440112, 1904251686165483303166544735375573842653419591761], 'euler59': [1, -1791904, 6532959030380, -9049056531588830368, 19996563806201149547597878, -22519947973549612872518718183392, 40461138388142561443598622350917679180, -27618938526968858460197297088938145808903136, 38358032782038398419973086399760468678777161743121], 'euler61': [1, 6305568, 22780335900988, 55492549833610211616, 109033144063085193418283190, 174398813442116828119133797419936, 224997562747777092816370536526902991708, 195727004166058794411758688039566755911769248, 97551820892064552722266841889541788960852432978481], 'euler67': [1, 5721352, 23595305900076, 75571221219427221896, 212381907359942818791408854, 458015377473014319651872295752408, 866708089109021233831821996541108109004, 1273706968339438265387207526392412982357816984, 1349256365417755877454657051946796697206085388680241], 'euler7': [1, 1372, 705894, 161414428, 13841287201, 0, 0, 0, 0], 'euler71': [1, -806800, 20155152959804, 15073864590324028400, 183579447855383905423305766, 137098609700312363507421182304400, 1667258654589394616679153494435606819324, -607003524325314492729820485814822206496002800, 6842798698940938981814244812733146152009703886272161], 'euler73': [1, 2063992, 35421614540700, 62409042187233168968, 548035609699186084024604966, 689457560237501908656921575781896, 4323031443930223413107391227037233646300, 2782838942563894765851082998271740545407266616, 14894985451961941943846586557477384171894488107677281], 'euler79': [1, 9897216, 96954696383292, 513093594269442893568, 2813371101953193365972122310, 9853402685731574370493198222125312, 35755934147563830234444894313442186021052, 70094180993142596924516411414639855871152081664, 136006152866792691625201101984747368303641150837104961], 'euler83': [1, 5170384, 70407618174284, 279148202071877952208, 2651947316215878689342400214, 7574979845085181476800260609746416, 51845724296051800216492649280524464598636, 103314847472957464500982046960393194207059305072, 542233801012015735135407853098133122208235840693558641], 'euler89': [1, -12345528, 180750343764508, -1401699118121714909640, 12012508395041795021301848166, -61999023116409234373487891074999560, 353621958379920053707877674850805349963228, -1068316185818615084229526299638760190674022534392, 3827543948647425430322045212330289877339037312647605281], 'euler97': [1, -13936104, 198193159922940, -2021704928165955054744, 23378442404130111756477733766, -163350289916755843964650528384818072, 1293876847422470350922636784580498338340860, -7351023282109649736691480774239641702716392237288, 42619520516862344959898006540158454742326868747150111361], 'euler_factors': [[1, 4, 211, 656, 39588, 83968, 3457024, 8388608, 268435456], [1, 0, 0, 0, 0, 0, 0, 0, 0], [1, -500, 93750, -7812500, 244140625, 0, 0, 0, 0], [1, 1372, 705894, 161414428, 13841287201, 0, 0, 0, 0], [1, 3032, 8724556, -9607116968, -435979430040906, -187215531172417528, 3313148689087666765996, 22437557830990741426871752, 144209936106499234037676064081], [1, -952, 210831564, -26422048232, 18428705438718038, -1657944342660471944, 830123221453648333557996, -235205431677924773854601176, 15502932802662396215269535105521], [1, -50464, 1960031020, -46024396904864, 1066565176033263846, -18885589951567201005472, 330025763136605693456817580, -3486655352986072696098064678688, 28351092476867700887730107366063041], [1, 15672, 559905228, 38272837605240, 941509224802953686, 34211007906660474312360, 447368020576790092266084588, 11193091216506544879319110598568, 638411683925748518131605316913942641], [1, -89656, 4501325212, 69687633399784, -14152756109912601690, 237274227540791687503448, 52183126426235688786211884508, -3538864345925074482707249207239688, 134393854047545109686936775588697536481], [1, -152032, 21473699900, 2815235970024608, -382873999845344403146, 48562472263572119686211872, 6389676191254491671372003351900, -780356342640760021946811056889900128, 88540901833145211536614766025207452637361], [1, 174768, 55891141180, 3637198052560944, 1354424009706125448198, 100068826465389947581880784, 42306460348770301611085513918780, 3639632101360254540273669676094710608, 572964121067545096123347421337293637543041], [1, -336624, 92883209980, -39975242594106384, 23035772168408103584406, -3794924818305575435818917072, 837069181708535288931856155696220, -287992568846827398122845239304939693488, 81217248802771228597652036390959994837496721], [1, -831320, 573127348636, -181506743184224680, 87228935740773918327846, -35349213973348823367359583080, 21738277418034421796186885997202396, -6140860334420605731692809636854205060120, 1438626275603521989270100382252682485138269921], [1, -487304, 471477191052, -161247674046157384, 171589359138241375519670, -43830118803460751129212464088, 34835260740487680652172019569562348, -9786728567651675871847741250565644522072, 5459046029871041534743397034507955551606171601], [1, -1694344, 1687980559676, -1587664985783234536, 1359388414544481144089158, -804347789347346812737709910168, 433248882995410995177173171242304444, -220321361008752259522216854860906666757368, 65877941798660252683780571409941608871644628161], [1, -1622704, 4508893590556, -4582392561753692432, 7501982733294741785195670, -5382987589398270448438240613584, 6222030856301165872690417541415642364, -2630465246610532912098783427681622969440112, 1904251686165483303166544735375573842653419591761], [1, -1791904, 6532959030380, -9049056531588830368, 19996563806201149547597878, -22519947973549612872518718183392, 40461138388142561443598622350917679180, -27618938526968858460197297088938145808903136, 38358032782038398419973086399760468678777161743121], [1, 6305568, 22780335900988, 55492549833610211616, 109033144063085193418283190, 174398813442116828119133797419936, 224997562747777092816370536526902991708, 195727004166058794411758688039566755911769248, 97551820892064552722266841889541788960852432978481], [1, 5721352, 23595305900076, 75571221219427221896, 212381907359942818791408854, 458015377473014319651872295752408, 866708089109021233831821996541108109004, 1273706968339438265387207526392412982357816984, 1349256365417755877454657051946796697206085388680241], [1, -806800, 20155152959804, 15073864590324028400, 183579447855383905423305766, 137098609700312363507421182304400, 1667258654589394616679153494435606819324, -607003524325314492729820485814822206496002800, 6842798698940938981814244812733146152009703886272161], [1, 2063992, 35421614540700, 62409042187233168968, 548035609699186084024604966, 689457560237501908656921575781896, 4323031443930223413107391227037233646300, 2782838942563894765851082998271740545407266616, 14894985451961941943846586557477384171894488107677281], [1, 9897216, 96954696383292, 513093594269442893568, 2813371101953193365972122310, 9853402685731574370493198222125312, 35755934147563830234444894313442186021052, 70094180993142596924516411414639855871152081664, 136006152866792691625201101984747368303641150837104961], [1, 5170384, 70407618174284, 279148202071877952208, 2651947316215878689342400214, 7574979845085181476800260609746416, 51845724296051800216492649280524464598636, 103314847472957464500982046960393194207059305072, 542233801012015735135407853098133122208235840693558641], [1, -12345528, 180750343764508, -1401699118121714909640, 12012508395041795021301848166, -61999023116409234373487891074999560, 353621958379920053707877674850805349963228, -1068316185818615084229526299638760190674022534392, 3827543948647425430322045212330289877339037312647605281], [1, -13936104, 198193159922940, -2021704928165955054744, 23378442404130111756477733766, -163350289916755843964650528384818072, 1293876847422470350922636784580498338340860, -7351023282109649736691480774239641702716392237288, 42619520516862344959898006540158454742326868747150111361]], 'id': 20541473, 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/315/8/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': '8-315e4-1.1-c7e4-0-0', 'motivic_weight': 7, '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}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [7, 7, 7, 7], 'order_of_vanishing': 0, 'prelabel': '8-315e4-1.1-c7e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 9.91974208472672, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c7e4-0', 'trace_hash': 1748999222086332354, 'z1': {'__RealLiteral__': 0, 'data': '0.32995984817426760118821690634', 'prec': 103}}