{"count": 3, "status":"OK", "data":[{"pols": "[25*X^4, -1900-7100*X-9660*X^2-5120*X^3-2080*X^4, -125840-201600*X-45056*X^2+74752*X^3-6656*X^4, 49698816*X^2+72683520*X+44938240+18235392*X^3+3325952*X^4, -433127424*X^2-451641344*X-67022848-149159936*X^3-4194304*X^4, -98594717696-134513164288*X-74158702592*X^2-20107493376*X^3-2296381440*X^4, 13281263616+113095213056*X+53754200064*X^2-5637144576*X^3-5586812928*X^4, 84533546319872+98266704248832*X+44305003577344*X^2+9259949490176*X^3+764504178688*X^4, 735959289167872+794367086297088*X+336923004502016*X^2+67345087201280*X^3+5484673236992*X^4, -21444720169320448-21696886289203200*X-8333353245736960*X^2-1453004616105984*X^3-98268851732480*X^4, -337542922901651456*X-361251211095048192-118751653846319104*X^2-18792852741947392*X^3-1143492092887040*X^4, -804829317392498688-493865438824890368*X-72031205758861312*X^2+6122080743456768*X^3+1477743627730944*X^4, 11381950856690663424+4544976448946962432*X^2+11818149109661958144*X+766737836559826944*X^3+47850746040811520*X^4, 24971334033862557696*X+29443408463841460224+7427561685440790528*X^2+864691128455135232*X^3+27021597764222976*X^4, -648518346341351424*(X+4)^4]", "text": "This is operator \"14.11\" from ...", "degz": 14, "h3": null, "sol": "1 76 5228 322224 18933228 1074083408 59496942064 3236713807552 173643765495532 9212312299901584", "n_discr_factors": "5", "c3": null, "operator": "4 14 0 0 0 0 25 -1900 -7100 -9660 -5120 -2080 -125840 -201600 -45056 74752 -6656 44938240 72683520 49698816 18235392 3325952 -67022848 -451641344 -433127424 -149159936 -4194304 -98594717696 -134513164288 -74158702592 -20107493376 -2296381440 13281263616 113095213056 53754200064 -5637144576 -5586812928 84533546319872 98266704248832 44305003577344 9259949490176 764504178688 735959289167872 794367086297088 336923004502016 67345087201280 5484673236992 -21444720169320448 -21696886289203200 -8333353245736960 -1453004616105984 -98268851732480 -361251211095048192 -337542922901651456 -118751653846319104 -18792852741947392 -1143492092887040 -804829317392498688 -493865438824890368 -72031205758861312 6122080743456768 1477743627730944 11381950856690663424 11818149109661958144 4544976448946962432 766737836559826944 47850746040811520 29443408463841460224 24971334033862557696 7427561685440790528 864691128455135232 27021597764222976 -166020696663385964544 -166020696663385964544 -62257761248769736704 -10376293541461622784 -648518346341351424", "new_number": "14.11", "id": 379, "operator_tex": "5^{2} \\theta^4-2^{2} 5 x\\left(104\\theta^4+256\\theta^3+483\\theta^2+355\\theta+95\\right)-2^{4} x^{2}\\left(416\\theta^4-4672\\theta^3+2816\\theta^2+12600\\theta+7865\\right)+2^{10} x^{3}\\left(3248\\theta^4+17808\\theta^3+48534\\theta^2+70980\\theta+43885\\right)-2^{12} x^{4}\\left(1024\\theta^4+36416\\theta^3+105744\\theta^2+110264\\theta+16363\\right)-2^{18} x^{5}\\left(8760\\theta^4+76704\\theta^3+282893\\theta^2+513127\\theta+376109\\right)-2^{21} 3 x^{6}\\left(888\\theta^4+896\\theta^3-8544\\theta^2-17976\\theta-2111\\right)+2^{28} x^{7}\\left(2848\\theta^4+34496\\theta^3+165049\\theta^2+366072\\theta+314912\\right)+2^{29} x^{8}\\left(10216\\theta^4+125440\\theta^3+627568\\theta^2+1479624\\theta+1370831\\right)-2^{34} x^{9}\\left(5720\\theta^4+84576\\theta^3+485065\\theta^2+1262925\\theta+1248247\\right)-2^{36} x^{10}\\left(16640\\theta^4+273472\\theta^3+1728064\\theta^2+4911896\\theta+5256897\\right)+2^{42} x^{11}\\left(336\\theta^4+1392\\theta^3-16378\\theta^2-112292\\theta-182997\\right)+2^{44} x^{12}\\left(2720\\theta^4+43584\\theta^3+258352\\theta^2+671784\\theta+646989\\right)+2^{50} 3 x^{13}\\left(8\\theta^4+256\\theta^3+2199\\theta^2+7393\\theta+8717\\right)-2^{56} 3^{2} x^{14}\\left((\\theta+4)^4\\right)", "superseek": "52/5 13436/5", "discriminant": "14 25 -2080 -6656 3325952 -4194304 -2296381440 -5586812928 764504178688 5484673236992 -98268851732480 -1143492092887040 1477743627730944 47850746040811520 27021597764222976 -648518346341351424", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "c3784675984d5e6eac952e2484ce5404", "dim_h": null, "inst": " 52/5 115 13436/5 89632 18465296/5 871619621/5 45240257244/5 503650715312 147905271435016/5 9063969995240684/5", "cleanlist": "True", "n_sing_real": "8", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "8", "laurent": null, "discriminant_tex": "-(-1+16z)(48z-1)^2(256z^2-32z-5)^2(256z^2+16z-1)^2(16z+1)^3", "discr_factors": "-648518346341351424, (z-1/48)^2, (z^2-1/8*z-5/256)^2, -1/16+z, (z^2+1/16*z-1/256)^2, (z+1/16)^3", "dm_basis": null, "q": "0 1 20 806 43984 2711553 179317176 12428599730 891010619712 65523676847124", "yuk": "1 52/5 4652/5 362824/5 28686892/5 2308162052/5 37654041112 15517408234744/5 1289345859885612/5 107822942876489488/5", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/32-1/32*5^(1/2)","im":"0","approx_re":"-0.101127","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/16-1/16*6^(1/2)","im":"0","approx_re":"-0.090593","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/16","im":"0","approx_re":"-0.0625","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/48","im":"0","approx_re":"0.0208333333333","approx_im":"0.0","exponents":["0","1","-2","3"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/32+1/32*5^(1/2)","im":"0","approx_re":"0.038627","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/16","im":"0","approx_re":"0.0625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/16+1/16*6^(1/2)","im":"0","approx_re":"0.215593","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["4","4","4","4"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[25*X^4, -300-1100*X-1660*X^2-1120*X^3-10480*X^4, 680960*X+1964544*X^4+632832*X^3+969344*X^2+158320, -37018880-144348160*X-209849344*X^2-139444224*X^3-217964544*X^4, 15973089280*X^4+17656250368*X+5061877760+16775118848*X^3+25085739008*X^2, -450117763072-1433513492480*X-1922996109312*X^2-1260052807680*X^3-817352409088*X^4, 101136447045632*X^2+63277149192192*X^3+81033617735680*X+30113106231296*X^4+27403069947904, -1172226564947968-3250626939060224*X-3763978341711872*X^2-2205773333528576*X^3-811916054233088*X^4, 54428574353981440*X^3+16123384538595328*X^4+93195756621529088*X+100329190494044160*X^2+35629414452559872, -769799426687369216-1907350033615814656*X-1916083179597332480*X^2-957108379304591360*X^3-235396918291726336*X^4, 2501498904353177600*X^4+11941558294763536384*X^3+27594548875410538496*X+25978776955975106560*X^2+11710476134977110016, -122831035499414552576-276522424495432007680*X-245184900544560365568*X^2-104031884754863259648*X^3-18970780111600615424*X^4, 1852920498288670539776*X+856593656325123080192+613444312443390001152*X^3+99284105585196269568*X^4+1556901146581421522944*X^2, -3736042135678487625728-7821275372064774029312*X-6275928210327371513856*X^2-2315642842002852151296*X^3-338526576790185443328*X^4, 14379237005456595484672*X^2+673306158690398633984*X^4+18603541398336082804736*X+5017514388048998039552*X^3+9112691572412518498304, -590295810358705651712*(X+2)^4]", "text": "This is operator \"15.4\" from ...", "degz": 15, "h3": null, "sol": "1 12 44 -3792 -207124 -8325552 -309616912 -11277235008 -410187134228 -15004164993648", "n_discr_factors": "5", "c3": null, "operator": "4 15 0 0 0 0 25 -300 -1100 -1660 -1120 -10480 158320 680960 969344 632832 1964544 -37018880 -144348160 -209849344 -139444224 -217964544 5061877760 17656250368 25085739008 16775118848 15973089280 -450117763072 -1433513492480 -1922996109312 -1260052807680 -817352409088 27403069947904 81033617735680 101136447045632 63277149192192 30113106231296 -1172226564947968 -3250626939060224 -3763978341711872 -2205773333528576 -811916054233088 35629414452559872 93195756621529088 100329190494044160 54428574353981440 16123384538595328 -769799426687369216 -1907350033615814656 -1916083179597332480 -957108379304591360 -235396918291726336 11710476134977110016 27594548875410538496 25978776955975106560 11941558294763536384 2501498904353177600 -122831035499414552576 -276522424495432007680 -245184900544560365568 -104031884754863259648 -18970780111600615424 856593656325123080192 1852920498288670539776 1556901146581421522944 613444312443390001152 99284105585196269568 -3736042135678487625728 -7821275372064774029312 -6275928210327371513856 -2315642842002852151296 -338526576790185443328 9112691572412518498304 18603541398336082804736 14379237005456595484672 5017514388048998039552 673306158690398633984 -9444732965739290427392 -18889465931478580854784 -14167099448608935641088 -4722366482869645213696 -590295810358705651712", "new_number": "15.4", "id": 392, "operator_tex": "5^{2} \\theta^4-2^{2} 5 x\\left(524\\theta^4+56\\theta^3+83\\theta^2+55\\theta+15\\right)+2^{4} x^{2}\\left(122784\\theta^4+39552\\theta^3+60584\\theta^2+42560\\theta+9895\\right)-2^{8} x^{3}\\left(851424\\theta^4+544704\\theta^3+819724\\theta^2+563860\\theta+144605\\right)+2^{13} x^{4}\\left(1949840\\theta^4+2047744\\theta^3+3062224\\theta^2+2155304\\theta+617905\\right)-2^{18} x^{5}\\left(3117952\\theta^4+4806720\\theta^3+7335648\\theta^2+5468420\\theta+1717063\\right)+2^{22} x^{6}\\left(7179524\\theta^4+15086448\\theta^3+24112808\\theta^2+19319920\\theta+6533401\\right)-2^{26} x^{7}\\left(12098492\\theta^4+32868584\\theta^3+56087648\\theta^2+48438116\\theta+17467537\\right)+2^{31} x^{8}\\left(7508036\\theta^4+25345280\\theta^3+46719420\\theta^2+43397656\\theta+16591239\\right)-2^{38} x^{9}\\left(856369\\theta^4+3481940\\theta^3+6970670\\theta^2+6938899\\theta+2800514\\right)+2^{42} x^{10}\\left(568775\\theta^4+2715196\\theta^3+5906890\\theta^2+6274274\\theta+2662654\\right)-2^{46} x^{11}\\left(269591\\theta^4+1478382\\theta^3+3484287\\theta^2+3929620\\theta+1745534\\right)+2^{51} x^{12}\\left(44091\\theta^4+272424\\theta^3+691403\\theta^2+822862\\theta+380404\\right)-2^{57} x^{13}\\left(2349\\theta^4+16068\\theta^3+43548\\theta^2+54271\\theta+25924\\right)+2^{63} x^{14}\\left(73\\theta^4+544\\theta^3+1559\\theta^2+2017\\theta+988\\right)-2^{69} x^{15}\\left((\\theta+2)^4\\right)", "superseek": "52/5 13436/5", "discriminant": "15 25 -10480 1964544 -217964544 15973089280 -817352409088 30113106231296 -811916054233088 16123384538595328 -235396918291726336 2501498904353177600 -18970780111600615424 99284105585196269568 -338526576790185443328 673306158690398633984 -590295810358705651712", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "2306e85a3af0a97d616dedf03cc93f69", "dim_h": null, "inst": " 52/5 115 13436/5 89632 18465296/5 871619621/5 45240257244/5 503650715312 147905271435016/5 9063969995240684/5", "cleanlist": "True", "n_sing_real": "8", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "8", "laurent": null, "discriminant_tex": "-(-1+32z)(256z^2-48z+1)^2(512z^2-128z+5)^2(64z-1)^3(16z-1)^3", "discr_factors": "-590295810358705651712, (z-1/16)^3, (z^2-1/4*z+5/512)^2, -1/32+z, (z-1/64)^3, (z^2-3/16*z+1/256)^2", "dm_basis": null, "q": "0 1 4 422 23056 1452289 97060696 6773971762 487971107392 36012102833428", "yuk": "1 52/5 4652/5 362824/5 28686892/5 2308162052/5 37654041112 15517408234744/5 1289345859885612/5 107822942876489488/5", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/64","im":"0","approx_re":"0.015625","approx_im":"0.0","exponents":["0","2","3","5"],"monodromy":[],"monodromy_dm":[]},{"re":"3/32-1/32*5^(1/2)","im":"0","approx_re":"0.023873","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/32","im":"0","approx_re":"0.03125","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/8-1/32*6^(1/2)","im":"0","approx_re":"0.048453","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/16","im":"0","approx_re":"0.0625","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"3/32+1/32*5^(1/2)","im":"0","approx_re":"0.163627","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/8+1/32*6^(1/2)","im":"0","approx_re":"0.201547","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["2","2","2","2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[25*X^4, -2455*X^4-4670*X^3-3610*X^2-1275*X-175, 7159*X^4+6232*X^3-12151*X^2-20470*X-7105, 18758*X^4+85536*X^3+125256*X^2+44940*X+9625, 107306*X^4-465824*X^3-1781630*X^2-1509010*X-420741, -740094*X^4+1297608*X^3+5441440*X^2-261976*X-1419015, -425070*X^4-2630928*X^3+1828778*X^2+9227454*X+5729271, 2418550*X^4+20716304*X^3-31322144*X^2-45688692*X-18761303, 12130172*X^4-80918752*X^3+123192250*X^2+111390334*X+20525227, -17292844*X^4+87187836*X^3-258415980*X^2-122394558*X+28117691, -77350272*X^4+52258560*X^3+209801740*X^2-35556398*X-112842235, 169708186*X^4-275075696*X^3-61487240*X^2+173105868*X+132064403, 10381942*X^4+721961664*X^3+662207782*X^2+449099274*X+145105369, -297104050*X^4-976538840*X^3-1274259392*X^2-987704752*X-327432741, 221581518*X^4+18861264*X^3-741766394*X^2-1393177990*X-797694603, 114705522*X^4+1320217008*X^3+3568249520*X^2+4492131828*X+2173936059, -224356709*X^4-1230081376*X^3-2802678530*X^2-3051898566*X-1307246399, 65530931*X^4+95408210*X^3-252661082*X^2-914043647*X-686884832, 56745577*X^4+512911848*X^3+1706476923*X^2+2593842540*X+1461946064, -43229384*X^4-315295600*X^3-1038479824*X^2-1605517784*X-929964816, 2712240*X^4+22521120*X^3+127797920*X^2+292063696*X+215733696, 6221888*X^4+44297088*X^3+116523904*X^2+125562816*X+45313152, -1644480*X^4-14128896*X^3-44465088*X^2-59916672*X-29402112, -235008*X^4-1115136*X^3-1631232*X^2-465408*X+405504, 110592*(X+2)^4]", "text": "This is operator \"24.3\" from ...", "degz": 24, "h3": null, "sol": "1 7 231 10787 606497 38027769 2561572747 181517731591 13356896633955 1011926344175399", "n_discr_factors": "6", "c3": null, "operator": "4 24 0 0 0 0 25 -175 -1275 -3610 -4670 -2455 -7105 -20470 -12151 6232 7159 9625 44940 125256 85536 18758 -420741 -1509010 -1781630 -465824 107306 -1419015 -261976 5441440 1297608 -740094 5729271 9227454 1828778 -2630928 -425070 -18761303 -45688692 -31322144 20716304 2418550 20525227 111390334 123192250 -80918752 12130172 28117691 -122394558 -258415980 87187836 -17292844 -112842235 -35556398 209801740 52258560 -77350272 132064403 173105868 -61487240 -275075696 169708186 145105369 449099274 662207782 721961664 10381942 -327432741 -987704752 -1274259392 -976538840 -297104050 -797694603 -1393177990 -741766394 18861264 221581518 2173936059 4492131828 3568249520 1320217008 114705522 -1307246399 -3051898566 -2802678530 -1230081376 -224356709 -686884832 -914043647 -252661082 95408210 65530931 1461946064 2593842540 1706476923 512911848 56745577 -929964816 -1605517784 -1038479824 -315295600 -43229384 215733696 292063696 127797920 22521120 2712240 45313152 125562816 116523904 44297088 6221888 -29402112 -59916672 -44465088 -14128896 -1644480 405504 -465408 -1631232 -1115136 -235008 1769472 3538944 2654208 884736 110592", "new_number": "24.3", "id": 595, "operator_tex": "5^{2} \\theta^4-5 x\\left(491\\theta^4+934\\theta^3+722\\theta^2+255\\theta+35\\right)+x^{2}\\left(7159\\theta^4+6232\\theta^3-12151\\theta^2-20470\\theta-7105\\right)+x^{3}\\left(18758\\theta^4+85536\\theta^3+125256\\theta^2+44940\\theta+9625\\right)+x^{4}\\left(107306\\theta^4-465824\\theta^3-1781630\\theta^2-1509010\\theta-420741\\right)-x^{5}\\left(740094\\theta^4-1297608\\theta^3-5441440\\theta^2+261976\\theta+1419015\\right)-x^{6}\\left(425070\\theta^4+2630928\\theta^3-1828778\\theta^2-9227454\\theta-5729271\\right)+x^{7}\\left(2418550\\theta^4+20716304\\theta^3-31322144\\theta^2-45688692\\theta-18761303\\right)+x^{8}\\left(12130172\\theta^4-80918752\\theta^3+123192250\\theta^2+111390334\\theta+20525227\\right)-x^{9}\\left(17292844\\theta^4-87187836\\theta^3+258415980\\theta^2+122394558\\theta-28117691\\right)-x^{10}\\left(77350272\\theta^4-52258560\\theta^3-209801740\\theta^2+35556398\\theta+112842235\\right)+x^{11}\\left(169708186\\theta^4-275075696\\theta^3-61487240\\theta^2+173105868\\theta+132064403\\right)+x^{12}\\left(10381942\\theta^4+721961664\\theta^3+662207782\\theta^2+449099274\\theta+145105369\\right)-x^{13}\\left(297104050\\theta^4+976538840\\theta^3+1274259392\\theta^2+987704752\\theta+327432741\\right)+x^{14}\\left(221581518\\theta^4+18861264\\theta^3-741766394\\theta^2-1393177990\\theta-797694603\\right)+x^{15}\\left(114705522\\theta^4+1320217008\\theta^3+3568249520\\theta^2+4492131828\\theta+2173936059\\right)-x^{16}\\left(224356709\\theta^4+1230081376\\theta^3+2802678530\\theta^2+3051898566\\theta+1307246399\\right)+x^{17}\\left(65530931\\theta^4+95408210\\theta^3-252661082\\theta^2-914043647\\theta-686884832\\right)+x^{18}\\left(56745577\\theta^4+512911848\\theta^3+1706476923\\theta^2+2593842540\\theta+1461946064\\right)-2^{3} x^{19}\\left(5403673\\theta^4+39411950\\theta^3+129809978\\theta^2+200689723\\theta+116245602\\right)+2^{4} x^{20}\\left(169515\\theta^4+1407570\\theta^3+7987370\\theta^2+18253981\\theta+13483356\\right)+2^{6} x^{21}\\left(97217\\theta^4+692142\\theta^3+1820686\\theta^2+1961919\\theta+708018\\right)-2^{6} 3 x^{22}\\left(8565\\theta^4+73588\\theta^3+231589\\theta^2+312066\\theta+153136\\right)-2^{9} 3^{2} x^{23}\\left(51\\theta^4+242\\theta^3+354\\theta^2+101\\theta-88\\right)+2^{12} 3^{3} x^{24}\\left((\\theta+2)^4\\right)", "superseek": "52/5 5899/5", "discriminant": "24 25 -2455 7159 18758 107306 -740094 -425070 2418550 12130172 -17292844 -77350272 169708186 10381942 -297104050 221581518 114705522 -224356709 65530931 56745577 -43229384 2712240 6221888 -1644480 -235008 110592", "aesz": null, "n_sing_complex": null, "inst_int": null, "c2h": null, "hash": "d0e287eaa4fef980c189e2ff531cfe15", "dim_h": null, "inst": " 52/5 677/10 5899/5 273031/10 3873518/5 378140479/15 898787453 343017861429/10 4137051912656/3 577676329551907/10", "cleanlist": "True", "n_sing_real": null, "sol_explicit": null, "n_sing_rational": null, "n_sing": null, "laurent": null, "discriminant_tex": "(z-1)(z^2+z-1)(64z^6-328z^5+603z^4-336z^3-82z^2+96z-1)(z+1)^2(8z^5+8z^4-37z^3+47z^2+17z+5)^2(3z-1)^3", "discr_factors": "110592, z^6-41/8*z^5+603/64*z^4-21/4*z^3-41/32*z^2+3/2*z-1/64, (z-1/3)^3, (z^5+z^4-37/8*z^3+47/8*z^2+17/8*z+5/8)^2, (z+1)^2, z-1, z^2+z-1", "dm_basis": null, "q": "0 1 -23 99 -1039 -38900 -1269509 -52233558 -2226214227 -98921578814", "yuk": "1 52/5 552 31865 8739752/5 484189802/5 27226276521/5 1541420481947/5 87812581265576/5 1005303614807273", "gv2": null, "gv0": null, "gv1": null}]}