{"count": 11, "status":"OK", "data":[{"pols": "[X^4, 16+70*X+118*X^2+96*X^3+144*X^4, 3968+13064*X+18292*X^2+13008*X^3+9108*X^4, 384352+1051584*X+1238000*X^2+762144*X^3+334512*X^4, 20030464+47545600*X+48121088*X^2+25534976*X^3+7957888*X^4, 640318976+1346663424*X+1191714816*X^2+546017280*X^3+129690624*X^4, 13412447232+25299763200*X+19808776192*X^2+7882752000*X^3+1494462464*X^4, 190799466496+325567234048*X+227550035968*X^2+79250423808*X^3+12387532800*X^4, 1877723480064+2918001410048*X+1833709076480*X^2+563327008768*X^3+74335780864*X^4, 12850565480448+18291291586560*X+10397339877376*X^2+2838151299072*X^3+321845723136*X^4, 60646329679872+79470283194368*X+41080682708992*X^2+10030761902080*X^3+991013371904*X^4, 192324546068480+233163624284160*X+110170390659072*X^2+24213146566656*X^3+2107084111872*X^4, 388342050979840+437965868236800*X+190187325882368*X^2+37855841746944*X^3+2928093954048*X^4, 446692704911360+471936375193600*X+189595962572800*X^2+34402688040960*X^3+2383706849280*X^4, 858993459200*(X+4)^4]", "text": "This is operator \"14.10\" from ...", "degz": 14, "h3": null, "sol": "1 -16 196 -2352 29920 -412288 6126592 -96801792 1602339600 -27454700544", "n_discr_factors": "5", "c3": null, "operator": "4 14 0 0 0 0 1 16 70 118 96 144 3968 13064 18292 13008 9108 384352 1051584 1238000 762144 334512 20030464 47545600 48121088 25534976 7957888 640318976 1346663424 1191714816 546017280 129690624 13412447232 25299763200 19808776192 7882752000 1494462464 190799466496 325567234048 227550035968 79250423808 12387532800 1877723480064 2918001410048 1833709076480 563327008768 74335780864 12850565480448 18291291586560 10397339877376 2838151299072 321845723136 60646329679872 79470283194368 41080682708992 10030761902080 991013371904 192324546068480 233163624284160 110170390659072 24213146566656 2107084111872 388342050979840 437965868236800 190187325882368 37855841746944 2928093954048 446692704911360 471936375193600 189595962572800 34402688040960 2383706849280 219902325555200 219902325555200 82463372083200 13743895347200 858993459200", "new_number": "14.10", "id": 378, "operator_tex": "\\theta^4+2 x\\left(72\\theta^4+48\\theta^3+59\\theta^2+35\\theta+8\\right)+2^{2} x^{2}\\left(2277\\theta^4+3252\\theta^3+4573\\theta^2+3266\\theta+992\\right)+2^{4} x^{3}\\left(20907\\theta^4+47634\\theta^3+77375\\theta^2+65724\\theta+24022\\right)+2^{7} x^{4}\\left(62171\\theta^4+199492\\theta^3+375946\\theta^2+371450\\theta+156488\\right)+2^{9} x^{5}\\left(253302\\theta^4+1066440\\theta^3+2327568\\theta^2+2630202\\theta+1250623\\right)+2^{10} x^{6}\\left(1459436\\theta^4+7698000\\theta^3+19344508\\theta^2+24706800\\theta+13098093\\right)+2^{12} x^{7}\\left(3024300\\theta^4+19348248\\theta^3+55554208\\theta^2+79484188\\theta+46581901\\right)+2^{15} x^{8}\\left(2268548\\theta^4+17191376\\theta^3+55960360\\theta^2+89050336\\theta+57303573\\right)+2^{18} x^{9}\\left(1227744\\theta^4+10826688\\theta^3+39662704\\theta^2+69775740\\theta+49021017\\right)+2^{20} x^{10}\\left(945104\\theta^4+9566080\\theta^3+39177592\\theta^2+75788768\\theta+57836847\\right)+2^{22} x^{11}\\left(502368\\theta^4+5772864\\theta^3+26266668\\theta^2+55590540\\theta+45853745\\right)+2^{25} x^{12}\\left(87264\\theta^4+1128192\\theta^3+5668024\\theta^2+13052400\\theta+11573495\\right)+2^{30} 5 x^{13}\\left(444\\theta^4+6408\\theta^3+35315\\theta^2+87905\\theta+83203\\right)+2^{35} 5^{2} x^{14}\\left((\\theta+4)^4\\right)", "superseek": "2 38", "discriminant": "14 1 144 9108 334512 7957888 129690624 1494462464 12387532800 74335780864 321845723136 991013371904 2107084111872 2928093954048 2383706849280 858993459200", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "364dddcd3359111a8e01be8efc1de60c", "dim_h": null, "inst": " 2 -29/4 38 -2077/8 2034 -69631/4 158858 -12172903/8 15129336 -619853933/4", "cleanlist": "True", "n_sing_real": "8", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "8", "laurent": null, "discriminant_tex": "(4z+1)(2z+1)^2(64z^2+24z+1)^2(160z^2+32z+1)^2(8z+1)^3", "discr_factors": "858993459200, z+1/4, (z+1/8)^3, (z^2+3/8*z+1/64)^2, (z^2+1/5*z+1/160)^2, (z+1/2)^2", "dm_basis": null, "q": "0 1 6 22 96 190 1472 -3540 55296 -451314", "yuk": "1 2 -56 1028 -16672 254252 -3759104 54488296 -779082464 11029286972", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/2","im":"0","approx_re":"-0.5","approx_im":"0.0","exponents":["0","1","-2","3"],"monodromy":[],"monodromy_dm":[]},{"re":"-3/16-1/16*5^(1/2)","im":"0","approx_re":"-0.327254","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/4","im":"0","approx_re":"-0.25","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/10-1/40*6^(1/2)","im":"0","approx_re":"-0.161237","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/8","im":"0","approx_re":"-0.125","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"-3/16+1/16*5^(1/2)","im":"0","approx_re":"-0.047746","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/10+1/40*6^(1/2)","im":"0","approx_re":"-0.038763","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"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, -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": "[X^4, -13*X^4-14*X^3-16*X^2-9*X-2, 33*X^4-88*X^3-265*X^2-324*X-148, 217*X^4+2362*X^3+6403*X^2+8178*X+4160, -1354*X^4-8268*X^3-16178*X^2-12420*X-720, 1812*X^4-15192*X^3-139320*X^2-347460*X-301320, 7580*X^4+149208*X^3+707964*X^2+1423392*X+1075344, -38540*X^4-356680*X^3-743540*X^2+429576*X+2089856, 47256*X^4-85088*X^3-3329000*X^2-13330608*X-16415360, 94304*X^4+2569088*X^3+16637888*X^2+42511200*X+38564800, -391808*X^4-5430528*X^3-25443520*X^2-46255680*X-22811520, 433728*X^4+2572416*X^3-8937408*X^2-87598848*X-152957952, 1152*(X+4)*(371*X^3+8580*X^2+53325*X+101564), -27648*(X+4)*(X+5)*(51*X^2+519*X+1330), 829440*(X+4)*(X+5)^2*(X+6)]", "text": "This is operator \"14.1\" from ...", "degz": 14, "h3": null, "sol": "1 2 16 48 264 1008 5008 21824 106792 500496", "n_discr_factors": "9", "c3": null, "operator": "4 14 0 0 0 0 1 -2 -9 -16 -14 -13 -148 -324 -265 -88 33 4160 8178 6403 2362 217 -720 -12420 -16178 -8268 -1354 -301320 -347460 -139320 -15192 1812 1075344 1423392 707964 149208 7580 2089856 429576 -743540 -356680 -38540 -16415360 -13330608 -3329000 -85088 47256 38564800 42511200 16637888 2569088 94304 -22811520 -46255680 -25443520 -5430528 -391808 -152957952 -87598848 -8937408 2572416 433728 468006912 362723328 100967040 11593728 427392 -735436800 -617932800 -194116608 -27039744 -1410048 497664000 406425600 123586560 16588800 829440", "new_number": "14.1", "id": 380, "operator_tex": "\\theta^4-x\\left(13\\theta^4+14\\theta^3+16\\theta^2+9\\theta+2\\right)+x^{2}\\left(33\\theta^4-88\\theta^3-265\\theta^2-324\\theta-148\\right)+x^{3}\\left(217\\theta^4+2362\\theta^3+6403\\theta^2+8178\\theta+4160\\right)-2 x^{4}\\left(677\\theta^4+4134\\theta^3+8089\\theta^2+6210\\theta+360\\right)+2^{2} 3 x^{5}\\left(151\\theta^4-1266\\theta^3-11610\\theta^2-28955\\theta-25110\\right)+2^{2} x^{6}\\left(1895\\theta^4+37302\\theta^3+176991\\theta^2+355848\\theta+268836\\right)-2^{2} x^{7}\\left(9635\\theta^4+89170\\theta^3+185885\\theta^2-107394\\theta-522464\\right)+2^{3} x^{8}\\left(5907\\theta^4-10636\\theta^3-416125\\theta^2-1666326\\theta-2051920\\right)+2^{5} x^{9}\\left(2947\\theta^4+80284\\theta^3+519934\\theta^2+1328475\\theta+1205150\\right)-2^{6} x^{10}\\left(6122\\theta^4+84852\\theta^3+397555\\theta^2+722745\\theta+356430\\right)+2^{6} 3 x^{11}\\left(2259\\theta^4+13398\\theta^3-46549\\theta^2-456244\\theta-796656\\right)+2^{7} 3^{2} x^{12}(\\theta+4)(371\\theta^3+8580\\theta^2+53325\\theta+101564)-2^{10} 3^{3} x^{13}(\\theta+4)(\\theta+5)(51\\theta^2+519\\theta+1330)+2^{11} 3^{4} 5 x^{14}(\\theta+4)(\\theta+5)^2(\\theta+6)", "superseek": "0 0", "discriminant": "14 1 -13 33 217 -1354 1812 7580 -38540 47256 94304 -391808 433728 427392 -1410048 829440", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "a8cf56492aecc07971e82c9104785180", "dim_h": null, "inst": " 0 1/4 0 -1/2 0 28/9 0 -14 0 2223/20", "cleanlist": "True", "n_sing_real": "9", "sol_explicit": "", "n_sing_rational": "9", "n_sing": "11", "laurent": null, "discriminant_tex": "(z-1)(6z-1)(4z-1)(3z+1)(4z+1)(5z-1)(2z+1)^2(2z-1)^2(6z^2-2z+1)^2", "discr_factors": "829440, z+1/4, z-1/4, z-1/6, (z-1/2)^2, (z^2-1/3*z+1/6)^2, z-1, (z+1/2)^2, z-1/5, z+1/3", "dm_basis": null, "q": "0 1 -1 -5 11 26 -99 -146 871 717", "yuk": "1 0 2 0 -30 0 674 0 -7198 0", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/2","im":"0","approx_re":"-0.5","approx_im":"0.0","exponents":["0","0","-1","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/3","im":"0","approx_re":"-0.333333333333","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/4","im":"0","approx_re":"-0.25","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/6","im":"-1/6*5^(1/2)","approx_re":"0.166666666667","approx_im":"-0.372678","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/6","im":"0","approx_re":"0.166666666667","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/6","im":"1/6*5^(1/2)","approx_re":"0.166666666667","approx_im":"0.372678","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/5","im":"0","approx_re":"0.2","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/4","im":"0","approx_re":"0.25","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/2","im":"0","approx_re":"0.5","approx_im":"0.0","exponents":["0","0","-1","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1","im":"0","approx_re":"1.0","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["4","5","5","6"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[25*X^4, 45*X*(6*X^3-36*X^2-23*X-5), -43856*X^4-189068*X^3-226691*X^2-135510*X-33600, -2018124*X^4-8252064*X^3-12629223*X^2-9440955*X-2825280, -44621090*X^4-199900036*X^3-357072757*X^2-304636250*X-101358144, -2106679104-626343696*X^4-5880331251*X-6264684027*X^2-3123690552*X^3, -6129756792*X^4-33896196180*X^3-74692121733*X^2-75603980898*X-28663306560, -43639108452*X^4-265547915136*X^3-634080609729*X^2-683420563413*X-271245635712, -230254819911*X^4-1530136525212*X^3-3921086342187*X^2-4461216958062*X-1840113650880, -903194487630*X^4-6510042733140*X^3-17774917904034*X^2-21213011004588*X-9045241239168, -2605547351304*X^4-20247346799424*X^3-58572260919000*X^2-72964078471008*X-32033917853568, -7776*(X+1)*(691573543*X^3+5071601663*X^2+12510902832*X+10260936720), -93312*(X+1)*(X+2)*(80620421*X^2+475174733*X+711172676), -59719680*(X+3)*(X+2)*(X+1)*(107069*X+369433), -2493893836800*(X+1)*(X+2)*(X+3)*(X+4)]", "text": "This is operator \"14.2\" from ...", "degz": 14, "h3": null, "sol": "1 0 84 1944 70476 2671920 109185240 4674665520 207513100620 9473259005280", "n_discr_factors": "6", "c3": null, "operator": "4 14 0 0 0 0 25 0 -225 -1035 -1620 270 -33600 -135510 -226691 -189068 -43856 -2825280 -9440955 -12629223 -8252064 -2018124 -101358144 -304636250 -357072757 -199900036 -44621090 -2106679104 -5880331251 -6264684027 -3123690552 -626343696 -28663306560 -75603980898 -74692121733 -33896196180 -6129756792 -271245635712 -683420563413 -634080609729 -265547915136 -43639108452 -1840113650880 -4461216958062 -3921086342187 -1530136525212 -230254819911 -9045241239168 -21213011004588 -17774917904034 -6510042733140 -903194487630 -32033917853568 -72964078471008 -58572260919000 -20247346799424 -2605547351304 -79789043934720 -177073824356352 -136721554953120 -44814450401856 -5377675870368 -132721889485824 -287761843600128 -214425164248704 -66908062858752 -7522852724352 -132374523248640 -281051384463360 -202709913845760 -60427179048960 -6394126417920 -59853452083200 -124694691840000 -87286284288000 -24938938368000 -2493893836800", "new_number": "14.2", "id": 381, "operator_tex": "5^{2} \\theta^4+3^{2} 5 x\\theta(6\\theta^3-36\\theta^2-23\\theta-5)-x^{2}\\left(43856\\theta^4+189068\\theta^3+226691\\theta^2+135510\\theta+33600\\right)-3^{2} x^{3}\\left(224236\\theta^4+916896\\theta^3+1403247\\theta^2+1048995\\theta+313920\\right)-x^{4}\\left(44621090\\theta^4+199900036\\theta^3+357072757\\theta^2+304636250\\theta+101358144\\right)-3^{2} x^{5}\\left(69593744\\theta^4+347076728\\theta^3+696076003\\theta^2+653370139\\theta+234075456\\right)-3^{2} x^{6}\\left(681084088\\theta^4+3766244020\\theta^3+8299124637\\theta^2+8400442322\\theta+3184811840\\right)-3^{3} x^{7}\\left(1616263276\\theta^4+9835107968\\theta^3+23484467027\\theta^2+25311872719\\theta+10046134656\\right)-3^{3} x^{8}\\left(8527956293\\theta^4+56671723156\\theta^3+145225420081\\theta^2+165230257706\\theta+68152357440\\right)-2 3^{4} x^{9}\\left(5575274615\\theta^4+40185448970\\theta^3+109721715457\\theta^2+130944512374\\theta+55834822464\\right)-2^{3} 3^{3} x^{10}\\left(12062719219\\theta^4+93737716664\\theta^3+271167874625\\theta^2+337796659588\\theta+148305175248\\right)-2^{5} 3^{5} x^{11}(\\theta+1)(691573543\\theta^3+5071601663\\theta^2+12510902832\\theta+10260936720)-2^{7} 3^{6} x^{12}(\\theta+1)(\\theta+2)(80620421\\theta^2+475174733\\theta+711172676)-2^{14} 3^{6} 5 x^{13}(\\theta+3)(\\theta+2)(\\theta+1)(107069\\theta+369433)-2^{19} 3^{8} 5^{2} 29 x^{14}(\\theta+1)(\\theta+2)(\\theta+3)(\\theta+4)", "superseek": "27/5 1619/5", "discriminant": "14 25 270 -43856 -2018124 -44621090 -626343696 -6129756792 -43639108452 -230254819911 -903194487630 -2605547351304 -5377675870368 -7522852724352 -6394126417920 -2493893836800", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "c0f6d85270164c8c5a63d1bb2deaba83", "dim_h": null, "inst": " 27/5 158/5 1619/5 51193/10 485082/5 42119247/20 50098932 1275546325 171045203277/5 4779763236621/5", "cleanlist": "True", "n_sing_real": "8", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "10", "laurent": null, "discriminant_tex": "-(9z+1)(6z+1)(348z^2+51z-1)(5z+1)^2(4z+1)^2(576z^3+357z^2+72z+5)^2", "discr_factors": "-2493893836800, (z+1/5)^2, z^2+17/116*z-1/348, z+1/9, (z^3+119/192*z^2+1/8*z+5/576)^2, z+1/6, (z+1/4)^2", "dm_basis": null, "q": "0 1 -9 -108 81 -1571 -238428 -6407811 -165659121 -4873676145", "yuk": "1 27/5 1291/5 8748 1639467/5 60635277/5 2274484342/5 85919668407/5 3265400231467/5 124691953232673/5", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/576*(47015+576*6547^(1/2))^(1/3)-337/576/(47015+576*6547^(1/2))^(1/3)-119/576","im":"0","approx_re":"-0.298314","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/4","im":"0","approx_re":"-0.25","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/5","im":"0","approx_re":"-0.2","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/6","im":"0","approx_re":"-0.166666666667","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-17/232-11/696*33^(1/2)","im":"0","approx_re":"-0.164066","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/1152*(47015+576*6547^(1/2))^(1/3)+337/1152/(47015+576*6547^(1/2))^(1/3)-119/576","im":"1/2*3^(1/2)*(-1/576*(47015+576*6547^(1/2))^(1/3)+337/576/(47015+576*6547^(1/2))^(1/3))","approx_re":"-0.160739","approx_im":"-0.057112","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/1152*(47015+576*6547^(1/2))^(1/3)+337/1152/(47015+576*6547^(1/2))^(1/3)-119/576","im":"-1/2*3^(1/2)*(-1/576*(47015+576*6547^(1/2))^(1/3)+337/576/(47015+576*6547^(1/2))^(1/3))","approx_re":"-0.160739","approx_im":"0.057112","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/9","im":"0","approx_re":"-0.111111111111","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"-17/232+11/696*33^(1/2)","im":"0","approx_re":"0.017515","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","2","3","4"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[16*X^4, -4*X*(32+149*X+234*X^2+54*X^3), -39143*X^4-143570*X^3-193959*X^2-113504*X-25600, -977828*X^4-4733580*X^3-8586066*X^2-6692064*X-2000832, -10882749*X^4-71055186*X^3-164405289*X^2-154949112*X-53930896, -733944544-55336964*X^4-1870719952*X-1674233986*X^2-552950396*X^3, 1671628*X^4-1840947936*X^3-9093386520*X^2-12514269480*X-5555671664, 1627857600*X^4+4041148512*X^3-17231808224*X^2-40138786064*X-21806812256, 8713678144*X^4+62907153280*X^3+84668913408*X^2+16498262080*X-17547325952, 13927409152*X^4+227646793728*X^3+593421729792*X^2+590464343040*X+205354505984, -49491827712*X^4+161146810368*X^3+1056957339648*X^2+1585604425728*X+735776378880, -4096*(X+1)*(75181760*X^3+257537898*X^2+246848548*X+22104519), -49152*(X+1)*(X+2)*(14369939*X^2+55966221*X+56991175), -17694720*(X+3)*(X+2)*(X+1)*(45377*X+116950), -375835852800*(X+1)*(X+2)*(X+3)*(X+4)]", "text": "This is operator \"14.3\" from ...", "degz": 14, "h3": null, "sol": "1 0 100 2592 112308 4886400 233559280 11623382400 601274519860 31969251659520", "n_discr_factors": "5", "c3": null, "operator": "4 14 0 0 0 0 16 0 -128 -596 -936 -216 -25600 -113504 -193959 -143570 -39143 -2000832 -6692064 -8586066 -4733580 -977828 -53930896 -154949112 -164405289 -71055186 -10882749 -733944544 -1870719952 -1674233986 -552950396 -55336964 -5555671664 -12514269480 -9093386520 -1840947936 1671628 -21806812256 -40138786064 -17231808224 4041148512 1627857600 -17547325952 16498262080 84668913408 62907153280 8713678144 205354505984 590464343040 593421729792 227646793728 13927409152 735776378880 1585604425728 1056957339648 161146810368 -49491827712 -90540109824 -1101631762432 -2065966882816 -1362819719168 -307944488960 -5602460467200 -13905394089984 -12466407800832 -4869785419776 -706311241728 -12416385024000 -27580972400640 -21248651427840 -6886997360640 -802933309440 -9020060467200 -18791792640000 -13154254848000 -3758358528000 -375835852800", "new_number": "14.3", "id": 382, "operator_tex": "2^{4} \\theta^4-2^{2} x\\theta(32+149\\theta+234\\theta^2+54\\theta^3)-x^{2}\\left(39143\\theta^4+143570\\theta^3+193959\\theta^2+113504\\theta+25600\\right)-2 x^{3}\\left(488914\\theta^4+2366790\\theta^3+4293033\\theta^2+3346032\\theta+1000416\\right)-x^{4}\\left(10882749\\theta^4+71055186\\theta^3+164405289\\theta^2+154949112\\theta+53930896\\right)-2 x^{5}\\left(27668482\\theta^4+276475198\\theta^3+837116993\\theta^2+935359976\\theta+366972272\\right)+2^{2} x^{6}\\left(417907\\theta^4-460236984\\theta^3-2273346630\\theta^2-3128567370\\theta-1388917916\\right)+2^{4} x^{7}\\left(101741100\\theta^4+252571782\\theta^3-1076988014\\theta^2-2508674129\\theta-1362925766\\right)+2^{6} x^{8}\\left(136151221\\theta^4+982924270\\theta^3+1322951772\\theta^2+257785345\\theta-274176968\\right)+2^{8} x^{9}\\left(54403942\\theta^4+889245288\\theta^3+2318053632\\theta^2+2306501340\\theta+802166039\\right)-2^{10} 3 x^{10}\\left(16110621\\theta^4-52456644\\theta^3-344061634\\theta^2-516147274\\theta-239510540\\right)-2^{12} x^{11}(\\theta+1)(75181760\\theta^3+257537898\\theta^2+246848548\\theta+22104519)-2^{14} 3 x^{12}(\\theta+1)(\\theta+2)(14369939\\theta^2+55966221\\theta+56991175)-2^{17} 3^{3} 5 x^{13}(\\theta+3)(\\theta+2)(\\theta+1)(45377\\theta+116950)-2^{20} 3^{5} 5^{2} 59 x^{14}(\\theta+1)(\\theta+2)(\\theta+3)(\\theta+4)", "superseek": "21/4 1285/2", "discriminant": "14 16 -216 -39143 -977828 -10882749 -55336964 1671628 1627857600 8713678144 13927409152 -49491827712 -307944488960 -706311241728 -802933309440 -375835852800", "aesz": null, "n_sing_complex": "3", "inst_int": "", "c2h": null, "hash": "fed06deb794f226dc9bf5119acb5fcf2", "dim_h": null, "inst": " 21/4 1965/32 1285/2 103095/8 1157421/4 124986905/16 906936123/4 28397105361/4 233461836458 256357685528925/32", "cleanlist": "True", "n_sing_real": "7", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "10", "laurent": null, "discriminant_tex": "-(3z+1)(64z^2+24z+1)(236z^2+63z-1)(360z^3+74z^2-21z-4)^2(4z+1)^3", "discr_factors": "-375835852800, (z+1/4)^3, z^2+3/8*z+1/64, (z^3+37/180*z^2-7/120*z-1/90)^2, z+1/3, z^2+63/236*z-1/236", "dm_basis": null, "q": "0 1 -8 -206 -552 -6169 -600608 -24318958 -805628144 -28668383273", "yuk": "1 21/4 993/2 69411/4 1650513/2 72338823/2 3374682123/2 155539545105/2 7269660622929/2 680774715180939/4", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/3","im":"0","approx_re":"-0.333333333333","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-3/16-1/16*5^(1/2)","im":"0","approx_re":"-0.327254","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-63/472-17/472*17^(1/2)","im":"0","approx_re":"-0.281976","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/1080*(509462+135*I*4895115^(1/2))^(1/3)-7039/1080/(509462+135*I*4895115^(1/2))^(1/3)-37/540+1/2*I*3^(1/2)*(1/540*(509462+135*I*4895115^(1/2))^(1/3)-7039/540/(509462+135*I*4895115^(1/2))^(1/3))","im":"0","approx_re":"-0.268785","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/4","im":"0","approx_re":"-0.25","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/1080*(509462+135*I*4895115^(1/2))^(1/3)-7039/1080/(509462+135*I*4895115^(1/2))^(1/3)-37/540-1/2*I*3^(1/2)*(1/540*(509462+135*I*4895115^(1/2))^(1/3)-7039/540/(509462+135*I*4895115^(1/2))^(1/3))","im":"0","approx_re":"-0.174147","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-3/16+1/16*5^(1/2)","im":"0","approx_re":"-0.047746","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"-63/472+17/472*17^(1/2)","im":"0","approx_re":"0.015027","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/540*(509462+135*I*4895115^(1/2))^(1/3)+7039/540/(509462+135*I*4895115^(1/2))^(1/3)-37/540","im":"0","approx_re":"0.237376","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":["1","2","3","4"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[729*X^4, -729*X*(15+70*X+110*X^2+13*X^3), -2122848-8730504*X-14644017*X^2-11733120*X^3-3251043*X^4, -229040136-761874012*X-1000145475*X^2-610919982*X^3-145717731*X^4, -10154502576-29838294432*X-33559038410*X^2-17076321436*X^3-3408842978*X^4, -251605244736-50415346404*X^4-675911472792*X-675627867372*X^2-297573337320*X^3, -3917238396768-505234553704*X^4-3458231468112*X^3-9798487743600*X-8880683375416*X^2, -40316153504256-3513338623008*X^4-27542862515520*X^3-78978329685408*X^2-94945861781952*X, -277974242907776-150075688072320*X^3-16839810938304*X^4-477172222938560*X^2-620569376095360*X, -1258186943869440-540131627746560*X^3-53284587704960*X^4-2671767533018880*X-1903596853875840*X^2, -3478774169556480-98425168350720*X^4-4601619275072000*X^2-1160808918566400*X^3-7014777892505600*X, -147200*(X+1)*(421574469*X^3+6597293181*X^2+28022760832*X+32033938840), 47398400*(X+2)*(X+1)*(2012137*X^2+10160979*X-151326), 76311424000*(1525*X+10484)*(X+3)*(X+2)*(X+1), -73716835584000*(X+1)*(X+2)*(X+3)*(X+4)]", "text": "This is operator \"14.4\" from ...", "degz": 14, "h3": null, "sol": "1 0 182 7020 401730 24561840 1613835560 111253111200 7954237438210 585024047128080", "n_discr_factors": "4", "c3": null, "operator": "4 14 0 0 0 0 729 0 -10935 -51030 -80190 -9477 -2122848 -8730504 -14644017 -11733120 -3251043 -229040136 -761874012 -1000145475 -610919982 -145717731 -10154502576 -29838294432 -33559038410 -17076321436 -3408842978 -251605244736 -675911472792 -675627867372 -297573337320 -50415346404 -3917238396768 -9798487743600 -8880683375416 -3458231468112 -505234553704 -40316153504256 -94945861781952 -78978329685408 -27542862515520 -3513338623008 -277974242907776 -620569376095360 -477172222938560 -150075688072320 -16839810938304 -1258186943869440 -2671767533018880 -1903596853875840 -540131627746560 -53284587704960 -3478774169556480 -7014777892505600 -4601619275072000 -1160808918566400 -98425168350720 -4715395797248000 -8840346191718400 -5096071950713600 -1033177318080000 -62055761836800 -14345220556800 941710463232000 1628413979584000 767730370176000 95372074380800 4800293815296000 9498788190976000 6080417952896000 1498298498816000 116374921600000 -1769204054016000 -3685841779200000 -2580089245440000 -737168355840000 -73716835584000", "new_number": "14.4", "id": 383, "operator_tex": "3^{6} \\theta^4-3^{6} x\\theta(15+70\\theta+110\\theta^2+13\\theta^3)-3^{3} x^{2}\\left(120409\\theta^4+434560\\theta^3+542371\\theta^2+323352\\theta+78624\\right)-3^{3} x^{3}\\left(5396953\\theta^4+22626666\\theta^3+37042425\\theta^2+28217556\\theta+8482968\\right)-2 x^{4}\\left(1704421489\\theta^4+8538160718\\theta^3+16779519205\\theta^2+14919147216\\theta+5077251288\\right)-2^{2} 3 x^{5}\\left(4201278867\\theta^4+24797778110\\theta^3+56302322281\\theta^2+56325956066\\theta+20967103728\\right)-2^{3} x^{6}\\left(63154319213\\theta^4+432278933514\\theta^3+1110085421927\\theta^2+1224810967950\\theta+489654799596\\right)-2^{5} 3 x^{7}\\left(36597277323\\theta^4+286904817870\\theta^3+822690934223\\theta^2+989019393562\\theta+419959932336\\right)-2^{6} x^{8}\\left(263122045911\\theta^4+2344932626130\\theta^3+7455815983415\\theta^2+9696396501490\\theta+4343347545434\\right)-2^{7} 5 x^{9}\\left(83257168289\\theta^4+843955668354\\theta^3+2974370084181\\theta^2+4174636770342\\theta+1965917099796\\right)-2^{9} 5 x^{10}\\left(38447331387\\theta^4+453440983815\\theta^3+1797507529325\\theta^2+2740147614260\\theta+1358896159983\\right)-2^{8} 5^{2} 23 x^{11}(\\theta+1)(421574469\\theta^3+6597293181\\theta^2+28022760832\\theta+32033938840)+2^{9} 5^{2} 7 23^{2} x^{12}(\\theta+2)(\\theta+1)(2012137\\theta^2+10160979\\theta-151326)+2^{10} 5^{3} 7^{2} 23^{3} x^{13}(1525\\theta+10484)(\\theta+3)(\\theta+2)(\\theta+1)-2^{11} 3 5^{3} 7^{3} 23^{4} x^{14}(\\theta+1)(\\theta+2)(\\theta+3)(\\theta+4)", "superseek": "10 13958/9", "discriminant": "14 729 -9477 -3251043 -145717731 -3408842978 -50415346404 -505234553704 -3513338623008 -16839810938304 -53284587704960 -98425168350720 -62055761836800 95372074380800 116374921600000 -73716835584000", "aesz": null, "n_sing_complex": "5", "inst_int": "", "c2h": null, "hash": "0091fcfec3692ae6ced2f585ef96177c", "dim_h": null, "inst": " 10 2591/27 13958/9 1037839/27 3535478/3 371146237/9 42727053718/27 1755397540159/27 25327325460920/9 3427241102571305/27", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "10", "laurent": null, "discriminant_tex": "-(6z+1)(42320z^4+16560z^3+2032z^2+68z-1)(920z^3-1180z^2-378z-27)^2(7z+1)^3", "discr_factors": "-73716835584000, (z^3-59/46*z^2-189/460*z-27/920)^2, z+1/6, z^4+9/23*z^3+127/2645*z^2+17/10580*z-1/42320, (z+1/7)^3", "dm_basis": null, "q": "0 1 -15 -242 109 -23262 -2577142 -110397356 -4745743611 -225967648782", "yuk": "1 10 20998/27 41884 66442694/27 441934780/3 240503913172/27 14655379425544/27 898763607004102/27 2051513362376404", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/6","im":"0","approx_re":"-0.166666666667","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/2*RootOf(2645*_Z^4+2070*_Z^3+508*_Z^2+34*_Z-1,index = 2)","im":"0","approx_re":"-0.157194","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/2*RootOf(2645*_Z^4+2070*_Z^3+508*_Z^2+34*_Z-1,index = 4)","im":"0","approx_re":"-0.157194","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/1380*(59346100+6210*I*150770^(1/2))^(1/3)-15223/138/(59346100+6210*I*150770^(1/2))^(1/3)+59/138+1/4*I*3^(1/2)*(1/345*(59346100+6210*I*150770^(1/2))^(1/3)-30446/69/(59346100+6210*I*150770^(1/2))^(1/3))","im":"0","approx_re":"-0.151128","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/7","im":"0","approx_re":"-0.142857142857","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/1380*(59346100+6210*I*150770^(1/2))^(1/3)-15223/138/(59346100+6210*I*150770^(1/2))^(1/3)+59/138-1/4*I*3^(1/2)*(1/345*(59346100+6210*I*150770^(1/2))^(1/3)-30446/69/(59346100+6210*I*150770^(1/2))^(1/3))","im":"0","approx_re":"-0.124614","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/2*RootOf(2645*_Z^4+2070*_Z^3+508*_Z^2+34*_Z-1,index = 3)","im":"0","approx_re":"-0.087777","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/2*RootOf(2645*_Z^4+2070*_Z^3+508*_Z^2+34*_Z-1,index = 1)","im":"0","approx_re":"0.010861","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/690*(59346100+6210*I*150770^(1/2))^(1/3)+15223/69/(59346100+6210*I*150770^(1/2))^(1/3)+59/138","im":"0","approx_re":"1.55835","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":["1","2","3","4"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[1225*X^4, -35*X*(208*X^3+2522*X^2+1611*X+350), -2895864*X^4-10743882*X^3-13787199*X^2-8373750*X-2038400, -100271073*X^4-431892504*X^3-723680933*X^2-561181425*X-170041830, -1779494918*X^4-9127622236*X^3-18290497093*X^2-16539531755*X-5684071466, -19827182682*X^4-119162684736*X^3-274771737213*X^2-279000299901*X-104851723790, -149204258817*X^4-1032818408748*X^3-2681116117542*X^2-2993600486151*X-1206564891326, -778822250193*X^4-6126161719824*X^3-17659178255613*X^2-21402250647384*X-9142529120612, -2812797944541*X^4-24913922595768*X^3-79078287326181*X^2-103186060627602*X-46367068712696, -6793613132356*X^4-67530420419382*X^3-235248738030516*X^2-329142277602666*X-154899485916500, -10000008656989*X^4-112554410392382*X^3-432872666762301*X^2-650564904626120*X-320443815723404, -12*(X+1)*(551266200382*X^3+6974826522501*X^2+26399880418886*X+28678364691672), 20*(X+1)*(X+2)*(92480406417*X^2+96008519961*X-1687668183707), 32600*(X+3)*(X+2)*(X+1)*(106246927*X+649964324), -963777190500*(X+1)*(X+2)*(X+3)*(X+4)]", "text": "This is operator \"14.5\" from ...", "degz": 14, "h3": null, "sol": "1 0 104 2838 118344 5206680 246603650 12242775720 630240369640 33367882260720", "n_discr_factors": "3", "c3": null, "operator": "4 14 0 0 0 0 1225 0 -12250 -56385 -88270 -7280 -2038400 -8373750 -13787199 -10743882 -2895864 -170041830 -561181425 -723680933 -431892504 -100271073 -5684071466 -16539531755 -18290497093 -9127622236 -1779494918 -104851723790 -279000299901 -274771737213 -119162684736 -19827182682 -1206564891326 -2993600486151 -2681116117542 -1032818408748 -149204258817 -9142529120612 -21402250647384 -17659178255613 -6126161719824 -778822250193 -46367068712696 -103186060627602 -79078287326181 -24913922595768 -2812797944541 -154899485916500 -329142277602666 -235248738030516 -67530420419382 -6793613132356 -320443815723404 -650564904626120 -432872666762301 -112554410392382 -10000008656989 -344140376300064 -660938941326696 -400496483296644 -90313112674596 -6615194404584 -67506727348280 -97419750223980 -24293636219800 7468994784240 1849608128340 127133021774400 253859105507600 165233169796600 41970735883600 3463649820200 -23130652572000 -48188859525000 -33732201667500 -9637771905000 -963777190500", "new_number": "14.5", "id": 384, "operator_tex": "5^{2} 7^{2} \\theta^4-5 7 x\\theta(208\\theta^3+2522\\theta^2+1611\\theta+350)-x^{2}\\left(2895864\\theta^4+10743882\\theta^3+13787199\\theta^2+8373750\\theta+2038400\\right)-x^{3}\\left(100271073\\theta^4+431892504\\theta^3+723680933\\theta^2+561181425\\theta+170041830\\right)-x^{4}\\left(1779494918\\theta^4+9127622236\\theta^3+18290497093\\theta^2+16539531755\\theta+5684071466\\right)-x^{5}\\left(19827182682\\theta^4+119162684736\\theta^3+274771737213\\theta^2+279000299901\\theta+104851723790\\right)-x^{6}\\left(149204258817\\theta^4+1032818408748\\theta^3+2681116117542\\theta^2+2993600486151\\theta+1206564891326\\right)-x^{7}\\left(778822250193\\theta^4+6126161719824\\theta^3+17659178255613\\theta^2+21402250647384\\theta+9142529120612\\right)-x^{8}\\left(2812797944541\\theta^4+24913922595768\\theta^3+79078287326181\\theta^2+103186060627602\\theta+46367068712696\\right)-2 x^{9}\\left(3396806566178\\theta^4+33765210209691\\theta^3+117624369015258\\theta^2+164571138801333\\theta+77449742958250\\right)-x^{10}\\left(10000008656989\\theta^4+112554410392382\\theta^3+432872666762301\\theta^2+650564904626120\\theta+320443815723404\\right)-2^{2} 3 x^{11}(\\theta+1)(551266200382\\theta^3+6974826522501\\theta^2+26399880418886\\theta+28678364691672)+2^{2} 5 x^{12}(\\theta+1)(\\theta+2)(92480406417\\theta^2+96008519961\\theta-1687668183707)+2^{3} 5^{2} 163 x^{13}(\\theta+3)(\\theta+2)(\\theta+1)(106246927\\theta+649964324)-2^{2} 3^{3} 5^{3} 163^{2} 2687 x^{14}(\\theta+1)(\\theta+2)(\\theta+3)(\\theta+4)", "superseek": "211/35 19279/35", "discriminant": "14 1225 -7280 -2895864 -100271073 -1779494918 -19827182682 -149204258817 -778822250193 -2812797944541 -6793613132356 -10000008656989 -6615194404584 1849608128340 3463649820200 -963777190500", "aesz": null, "n_sing_complex": "3", "inst_int": "", "c2h": null, "hash": "f3806aa0de676048470ecaa401cb173e", "dim_h": null, "inst": " 211/35 1643/35 19279/35 69901/7 7789913/35 39678242/7 5534913028/35 165311273921/35 5201243378046/35 24360698902146/5", "cleanlist": "True", "n_sing_real": "7", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "10", "laurent": null, "discriminant_tex": "-(-1+41z+1449z^2+13908z^3+53591z^4+72549z^5)(326z^3-804z^2-351z-35)^2(5z+1)^3", "discr_factors": "-963777190500, (z+1/5)^3, -1/72549+41/72549*z+161/8061*z^2+4636/24183*z^3+53591/72549*z^4+z^5, (z^3-402/163*z^2-351/326*z-35/326)^2", "dm_basis": null, "q": "0 1 -10 -153 -71 -2939 -509372 -17146482 -525589072 -17980973418", "yuk": "1 211/35 2671/7 74392/5 4476335/7 973739336/35 42853035248/35 379695033763/7 84639394629227/35 3791706423116278/35", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/2823647044*(2959972092285522493460914358+2989868485908726726*I*1302862512130845^(1/2))^(1/3)-1460843327/2/(2959972092285522493460914358+2989868485908726726*I*1302862512130845^(1/2))^(1/3)+134/163+1/2*I*3^(1/2)*(1/1411823522*(2959972092285522493460914358+2989868485908726726*I*1302862512130845^(1/2))^(1/3)-1460843327/(2959972092285522493460914358+2989868485908726726*I*1302862512130845^(1/2))^(1/3))","im":"0","approx_re":"-0.216454","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/5","im":"0","approx_re":"-0.2","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/2823647044*(2959972092285522493460914358+2989868485908726726*I*1302862512130845^(1/2))^(1/3)-1460843327/2/(2959972092285522493460914358+2989868485908726726*I*1302862512130845^(1/2))^(1/3)+134/163-1/2*I*3^(1/2)*(1/1411823522*(2959972092285522493460914358+2989868485908726726*I*1302862512130845^(1/2))^(1/3)-1460843327/(2959972092285522493460914358+2989868485908726726*I*1302862512130845^(1/2))^(1/3))","im":"0","approx_re":"-0.173649","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/1411823522*(2959972092285522493460914358+2989868485908726726*I*1302862512130845^(1/2))^(1/3)+1460843327/(2959972092285522493460914358+2989868485908726726*I*1302862512130845^(1/2))^(1/3)+134/163","im":"0","approx_re":"2.85636","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"#ND","im":"#ND","approx_re":"#ND","approx_im":"#ND","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","2","3","4"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[676*X^4, 26*X*(374*X^3-3806*X^2-2423*X-520), -4134495*X^4-17078826*X^3-18786327*X^2-10897224*X-2725632, -328904010*X^4-1243996110*X^3-1757863065*X^2-1274164164*X-377515944, -12870516492*X^4-52516134270*X^3-87242036031*X^2-71820651582*X-23420570868, -321871652262*X^4-1459297600722*X^3-2738599617177*X^2-2474391797928*X-865242433512, -5633066295540*X^4-28469236101030*X^3-59048346552588*X^2-57540690497187*X-21276263448558, -71924199460803*X^4-403650318020634*X^3-912777785669718*X^2-949037543735301*X-367771358848842, -682473294698607*X^4-4228648966685790*X^3-10328919760110600*X^2-11373578939924847*X-4590357650885862, -4827699732502584*X^4-32824558953390618*X^3-86020156844150229*X^2-99763555472139537*X-41739950181192462, -25189804469588247*X^4-186850747612783440*X^3-522604234186515855*X^2-635635611053864982*X-274692786598526256, -59049*(X+1)*(1597618239529*X^3+11261457267015*X^2+26962321719782*X+21625438724040), -531441*(X+1)*(X+2)*(452183900223*X^2+2573271558279*X+3747021993116), -75073481424*(X+3)*(X+2)*(X+1)*(4973417*X+16619273), -267322553536356288*(X+1)*(X+2)*(X+3)*(X+4)]", "text": "This is operator \"14.6\" from ...", "degz": 14, "h3": null, "sol": "1 0 252 11106 735660 51903720 3938064030 313499992680 25885633396140 2198820839599440", "n_discr_factors": "3", "c3": null, "operator": "4 14 0 0 0 0 676 0 -13520 -62998 -98956 9724 -2725632 -10897224 -18786327 -17078826 -4134495 -377515944 -1274164164 -1757863065 -1243996110 -328904010 -23420570868 -71820651582 -87242036031 -52516134270 -12870516492 -865242433512 -2474391797928 -2738599617177 -1459297600722 -321871652262 -21276263448558 -57540690497187 -59048346552588 -28469236101030 -5633066295540 -367771358848842 -949037543735301 -912777785669718 -403650318020634 -71924199460803 -4590357650885862 -11373578939924847 -10328919760110600 -4228648966685790 -682473294698607 -41739950181192462 -99763555472139537 -86020156844150229 -32824558953390618 -4827699732502584 -274692786598526256 -635635611053864982 -522604234186515855 -186850747612783440 -25189804469588247 -1276960531215837960 -2869058666447245278 -2257075925391376053 -759315549585916656 -94337759425947921 -3982642230087120312 -8709047365537380546 -6574565273890432959 -2088469202558584068 -240309064118411343 -7486000097075308512 -15964563883884567120 -11593089113471672400 -3487897055425719600 -373371728763305808 -6415741284872550912 -13366127676817814400 -9356289373772470080 -2673225535363562880 -267322553536356288", "new_number": "14.6", "id": 385, "operator_tex": "2^{2} 13^{2} \\theta^4+2 13 x\\theta(374\\theta^3-3806\\theta^2-2423\\theta-520)-3 x^{2}\\left(1378165\\theta^4+5692942\\theta^3+6262109\\theta^2+3632408\\theta+908544\\right)-3 x^{3}\\left(109634670\\theta^4+414665370\\theta^3+585954355\\theta^2+424721388\\theta+125838648\\right)-3^{2} x^{4}\\left(1430057388\\theta^4+5835126030\\theta^3+9693559559\\theta^2+7980072398\\theta+2602285652\\right)-3^{4} x^{5}\\left(3973724102\\theta^4+18016019762\\theta^3+33809871817\\theta^2+30548046888\\theta+10682005352\\right)-3^{5} x^{6}\\left(23181342780\\theta^4+117157350210\\theta^3+242997310916\\theta^2+236792965009\\theta+87556639706\\right)-3^{6} x^{7}\\left(98661453307\\theta^4+553704139946\\theta^3+1252095727942\\theta^2+1301834765069\\theta+504487460698\\right)-3^{7} x^{8}\\left(312059119661\\theta^4+1933538622170\\theta^3+4722871403800\\theta^2+5200539067181\\theta+2098928967026\\right)-3^{7} x^{9}\\left(2207453009832\\theta^4+15008943280014\\theta^3+39332490555167\\theta^2+45616623444051\\theta+19085482478826\\right)-3^{8} x^{10}\\left(3839323955127\\theta^4+28479004361040\\theta^3+79653137355055\\theta^2+96880903986262\\theta+41867518152496\\right)-3^{10} x^{11}(\\theta+1)(1597618239529\\theta^3+11261457267015\\theta^2+26962321719782\\theta+21625438724040)-3^{12} x^{12}(\\theta+1)(\\theta+2)(452183900223\\theta^2+2573271558279\\theta+3747021993116)-2^{4} 3^{16} 109 x^{13}(\\theta+3)(\\theta+2)(\\theta+1)(4973417\\theta+16619273)-2^{6} 3^{16} 109^{2} 8167 x^{14}(\\theta+1)(\\theta+2)(\\theta+3)(\\theta+4)", "superseek": "343/26 27836/13", "discriminant": "14 676 9724 -4134495 -328904010 -12870516492 -321871652262 -5633066295540 -71924199460803 -682473294698607 -4827699732502584 -25189804469588247 -94337759425947921 -240309064118411343 -373371728763305808 -267322553536356288", "aesz": null, "n_sing_complex": "6", "inst_int": "", "c2h": null, "hash": "b419826ae9a841fd2485cf17a33e3c82", "dim_h": null, "inst": " 343/26 1358/13 27836/13 764852/13 52338075/26 2041896365/26 43703976857/13 2002549942971/13 96665555874384/13 4862260117382276/13", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "10", "laurent": null, "discriminant_tex": "-(661527z^5+290250z^4+47223z^3+3291z^2+71z-1)(23544z^3+7353z^2+759z+26)^2(9z+1)^3", "discr_factors": "-267322553536356288, (z+1/9)^3, z^5+10750/24501*z^4+583/8167*z^3+1097/220509*z^2+71/661527*z-1/661527, (z^3+817/2616*z^2+253/7848*z+13/11772)^2", "dm_basis": null, "q": "0 1 -20 -210 1667 -61003 -4513662 -185768728 -9198743940 -497580722694", "yuk": "1 343/26 22071/26 1503487/26 97923127/26 3271129859/13 441051140055/26 29980928124245/26 2050611239525431/26 140938380466355359/26", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/7848*(1138573+3924*72533^(1/2))^(1/3)-5641/7848/(1138573+3924*72533^(1/2))^(1/3)-817/7848","im":"0","approx_re":"-0.126194","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/9","im":"0","approx_re":"-0.111111111111","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/15696*(1138573+3924*72533^(1/2))^(1/3)+5641/15696/(1138573+3924*72533^(1/2))^(1/3)-817/7848","im":"1/6*3^(1/2)*(-1/2616*(1138573+3924*72533^(1/2))^(1/3)+5641/2616/(1138573+3924*72533^(1/2))^(1/3))","approx_re":"-0.093057","approx_im":"-0.009552","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/15696*(1138573+3924*72533^(1/2))^(1/3)+5641/15696/(1138573+3924*72533^(1/2))^(1/3)-817/7848","im":"-1/6*3^(1/2)*(-1/2616*(1138573+3924*72533^(1/2))^(1/3)+5641/2616/(1138573+3924*72533^(1/2))^(1/3))","approx_re":"-0.093057","approx_im":"0.009552","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"#ND","im":"#ND","approx_re":"#ND","approx_im":"#ND","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","2","3","4"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -80-384*X-784*X^2-800*X^3-560*X^4, 116224+378880*X+525824*X^2+369664*X^3+130560*X^4, -44154880-118669312*X-130973696*X^2-70418432*X^3-16924672*X^4, 7572291584+17667981312*X+16244539392*X^2+7198474240*X^3+1415053312*X^4, -650721099776-1352562376704*X-1072835854336*X^2-448253657088*X^3-90714406912*X^4, 23320598675456+46090904666112*X+36831492046848*X^2+21291226628096*X^3+5412195663872*X^4, 325833398943744+17952963297280*X-880502655418368*X^2-1093773551468544*X^3-302073639862272*X^4, -48175101971005440-24393215218024448*X+56059699853787136*X^2+54202624714473472*X^3+13754340707663872*X^4, 701418049776910336-1331323863283269632*X-3330851729091592192*X^2-1813050693737512960*X^3-513023329427259392*X^4, 28115409523720585216+87750949889453850624*X+93614636604290236416*X^2+44148787147112972288*X^3+18255341089546305536*X^4, -887731544148762689536-1907400542980971429888*X-2160034467677946773504*X^2-1533097370750954766336*X^3-598942721643257004032*X^4, 24107012200576866844672+72322765983987510804480*X+91927043248322336784384*X^2+56078101984077036912640*X^3+13918068403613856694272*X^4, -1049988672675547677982720-2599515174867150013726720*X-2474077315165925062737920*X^2-1074338374852844286115840*X^3-180040222159405223772160*X^4, 944473296573929042739200*(X+2)^4]", "text": "This is operator \"14.7\" from ...", "degz": 14, "h3": null, "sol": "1 80 5776 422144 32579856 2733577472 254151321856 26278279778304 2985194245274896 365061727104922880", "n_discr_factors": "5", "c3": null, "operator": "4 14 0 0 0 0 1 -80 -384 -784 -800 -560 116224 378880 525824 369664 130560 -44154880 -118669312 -130973696 -70418432 -16924672 7572291584 17667981312 16244539392 7198474240 1415053312 -650721099776 -1352562376704 -1072835854336 -448253657088 -90714406912 23320598675456 46090904666112 36831492046848 21291226628096 5412195663872 325833398943744 17952963297280 -880502655418368 -1093773551468544 -302073639862272 -48175101971005440 -24393215218024448 56059699853787136 54202624714473472 13754340707663872 701418049776910336 -1331323863283269632 -3330851729091592192 -1813050693737512960 -513023329427259392 28115409523720585216 87750949889453850624 93614636604290236416 44148787147112972288 18255341089546305536 -887731544148762689536 -1907400542980971429888 -2160034467677946773504 -1533097370750954766336 -598942721643257004032 24107012200576866844672 72322765983987510804480 91927043248322336784384 56078101984077036912640 13918068403613856694272 -1049988672675547677982720 -2599515174867150013726720 -2474077315165925062737920 -1074338374852844286115840 -180040222159405223772160 15111572745182864683827200 30223145490365729367654400 22667359117774297025740800 7555786372591432341913600 944473296573929042739200", "new_number": "14.7", "id": 386, "operator_tex": "\\theta^4-2^{4} x\\left(35\\theta^4+50\\theta^3+49\\theta^2+24\\theta+5\\right)+2^{9} x^{2}\\left(255\\theta^4+722\\theta^3+1027\\theta^2+740\\theta+227\\right)-2^{14} x^{3}\\left(1033\\theta^4+4298\\theta^3+7994\\theta^2+7243\\theta+2695\\right)+2^{19} x^{4}\\left(2699\\theta^4+13730\\theta^3+30984\\theta^2+33699\\theta+14443\\right)-2^{24} x^{5}\\left(5407\\theta^4+26718\\theta^3+63946\\theta^2+80619\\theta+38786\\right)+2^{29} x^{6}\\left(10081\\theta^4+39658\\theta^3+68604\\theta^2+85851\\theta+43438\\right)-2^{34} x^{7}\\left(17583\\theta^4+63666\\theta^3+51252\\theta^2-1045\\theta-18966\\right)+2^{39} x^{8}\\left(25019\\theta^4+98594\\theta^3+101972\\theta^2-44371\\theta-87630\\right)-2^{44} x^{9}\\left(29162\\theta^4+103060\\theta^3+189337\\theta^2+75677\\theta-39871\\right)+2^{49} x^{10}\\left(32428\\theta^4+78424\\theta^3+166293\\theta^2+155877\\theta+49943\\right)-2^{54} x^{11}\\left(33248\\theta^4+85104\\theta^3+119906\\theta^2+105882\\theta+49279\\right)+2^{59} x^{12}\\left(24144\\theta^4+97280\\theta^3+159468\\theta^2+125460\\theta+41819\\right)-2^{67} 5 x^{13}\\left(244\\theta^4+1456\\theta^3+3353\\theta^2+3523\\theta+1423\\right)+2^{75} 5^{2} x^{14}\\left((\\theta+2)^4\\right)", "superseek": "48 3184", "discriminant": "14 1 -560 130560 -16924672 1415053312 -90714406912 5412195663872 -302073639862272 13754340707663872 -513023329427259392 18255341089546305536 -598942721643257004032 13918068403613856694272 -180040222159405223772160 944473296573929042739200", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "9e304ff532f3cfafc29dfac77fdff067", "dim_h": null, "inst": " 48 46 3184 409910 -3351792 660929430 10619210928 859394914110 70266573485696 2358254619793562", "cleanlist": "True", "n_sing_real": "7", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "9", "laurent": null, "discriminant_tex": "(16z-1)(32z-1)(4096z^2-192z+1)(163840z^3+1024z^2+32z-1)^2(64z-1)^4", "discr_factors": "944473296573929042739200, z-1/16, (z^3+1/160*z^2+1/5120*z-1/163840)^2, z^2-3/64*z+1/4096, z-1/32, (z-1/64)^4", "dm_basis": null, "q": "0 1 -64 3104 -146432 5759792 -207339520 4827303424 -50713985024 -7931377213800", "yuk": "1 48 416 86016 26234656 -418973952 142760843264 3642389348352 440010222258976 51224332071158400", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/960*(359+45*65^(1/2))^(1/3)+7/480/(359+45*65^(1/2))^(1/3)-1/480","im":"-1/64*3^(1/2)*(1/15*(359+45*65^(1/2))^(1/3)+14/15/(359+45*65^(1/2))^(1/3))","approx_re":"-0.009802","approx_im":"-0.019","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/960*(359+45*65^(1/2))^(1/3)+7/480/(359+45*65^(1/2))^(1/3)-1/480","im":"1/64*3^(1/2)*(1/15*(359+45*65^(1/2))^(1/3)+14/15/(359+45*65^(1/2))^(1/3))","approx_re":"-0.009802","approx_im":"0.019","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"3/128-1/128*5^(1/2)","im":"0","approx_re":"0.005968","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/480*(359+45*65^(1/2))^(1/3)-7/240/(359+45*65^(1/2))^(1/3)-1/480","im":"0","approx_re":"0.013353","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/64","im":"0","approx_re":"0.015625","approx_im":"0.0","exponents":["-1/2","-1/2","1/2","1/2"],"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":"3/128+1/128*5^(1/2)","im":"0","approx_re":"0.040907","approx_im":"0.0","exponents":["0","1","1","2"],"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":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["2","2","2","2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[25*X^4, -900-4500*X-9460*X^2-9920*X^3-4880*X^4, 589360+1882560*X+2483904*X^2+1533952*X^3+386304*X^4, -86156800-213212160*X-208503808*X^2-92610560*X^3-17022976*X^4, 4830281728+9927114752*X+7766360064*X^2+2965504000*X^3+531300352*X^4, -109175111680-198251642880*X-142011269120*X^2-68281171968*X^3-15289286656*X^4, 344805343232+1170026266624*X+1859989274624*X^2+1703860502528*X^3+419749167104*X^4, 21403969519616-2532420091904*X-48988396978176*X^2-41337986482176*X^3-9439801245696*X^4, -168637595910144+605779367297024*X+1247258502758400*X^2+704202837852160*X^3+173190261243904*X^4, -3353510464716800-15158417056333824*X-18365142718742528*X^2-9091861650079744*X^3-2972529685692416*X^4, 76086204642099200+208379443696107520*X+235383449274286080*X^2+138309766681198592*X^3+47481310133878784*X^4, -1311110441518235648-3497608060606611456*X-3939523774042341376*X^2-2232659515268923392*X^3-581527301884215296*X^4, 20878687872489619456+51593237331156402176*X+50710531804191784960*X^2+23742977235497254912*X^3+4593671619917905920*X^4, -180432215470971551744-398910840593969053696*X-339535383106716434432*X^2-132585973029787402240*X^3-20176126330619822080*X^4, 36893488147419103232*(X+2)^4]", "text": "This is operator \"14.8\" from ...", "degz": 14, "h3": null, "sol": "1 36 1196 41488 1543916 61692912 2626061552 117909711936 5533685570284 269383919495856", "n_discr_factors": "5", "c3": null, "operator": "4 14 0 0 0 0 25 -900 -4500 -9460 -9920 -4880 589360 1882560 2483904 1533952 386304 -86156800 -213212160 -208503808 -92610560 -17022976 4830281728 9927114752 7766360064 2965504000 531300352 -109175111680 -198251642880 -142011269120 -68281171968 -15289286656 344805343232 1170026266624 1859989274624 1703860502528 419749167104 21403969519616 -2532420091904 -48988396978176 -41337986482176 -9439801245696 -168637595910144 605779367297024 1247258502758400 704202837852160 173190261243904 -3353510464716800 -15158417056333824 -18365142718742528 -9091861650079744 -2972529685692416 76086204642099200 208379443696107520 235383449274286080 138309766681198592 47481310133878784 -1311110441518235648 -3497608060606611456 -3939523774042341376 -2232659515268923392 -581527301884215296 20878687872489619456 51593237331156402176 50710531804191784960 23742977235497254912 4593671619917905920 -180432215470971551744 -398910840593969053696 -339535383106716434432 -132585973029787402240 -20176126330619822080 590295810358705651712 1180591620717411303424 885443715538058477568 295147905179352825856 36893488147419103232", "new_number": "14.8", "id": 387, "operator_tex": "5^{2} \\theta^4-2^{2} 5 x\\left(244\\theta^4+496\\theta^3+473\\theta^2+225\\theta+45\\right)+2^{4} x^{2}\\left(24144\\theta^4+95872\\theta^3+155244\\theta^2+117660\\theta+36835\\right)-2^{9} x^{3}\\left(33248\\theta^4+180880\\theta^3+407234\\theta^2+416430\\theta+168275\\right)+2^{14} x^{4}\\left(32428\\theta^4+181000\\theta^3+474021\\theta^2+605903\\theta+294817\\right)-2^{19} x^{5}\\left(29162\\theta^4+130236\\theta^3+270865\\theta^2+378135\\theta+208235\\right)+2^{24} x^{6}\\left(25019\\theta^4+101558\\theta^3+110864\\theta^2+69739\\theta+20552\\right)-2^{29} x^{7}\\left(17583\\theta^4+76998\\theta^3+91248\\theta^2+4717\\theta-39868\\right)+2^{34} x^{8}\\left(10081\\theta^4+40990\\theta^3+72600\\theta^2+35261\\theta-9816\\right)-2^{39} x^{9}\\left(5407\\theta^4+16538\\theta^3+33406\\theta^2+27573\\theta+6100\\right)+2^{44} x^{10}\\left(2699\\theta^4+7862\\theta^3+13380\\theta^2+11845\\theta+4325\\right)-2^{49} x^{11}\\left(1033\\theta^4+3966\\theta^3+6998\\theta^2+6213\\theta+2329\\right)+2^{54} x^{12}\\left(255\\theta^4+1318\\theta^3+2815\\theta^2+2864\\theta+1159\\right)-2^{59} x^{13}\\left(35\\theta^4+230\\theta^3+589\\theta^2+692\\theta+313\\right)+2^{65} x^{14}\\left((\\theta+2)^4\\right)", "superseek": "92/5 -76/5", "discriminant": "14 25 -4880 386304 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null, "gv1": null, 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{"pols": "[9*X^4, -492*X+96*X^4-1536*X^3-1260*X^2-84, -6864+56576*X^2+10880*X-43520*X^4+1024*X^3, 1076224+4079616*X^3+344064*X^4-845824*X^2+479232*X, 187596800*X+65409024-29622272*X^3+68157440*X^4+179568640*X^2, -1499463680*X^4-5837160448*X-2370568192-5052301312*X^2-1820327936*X^3, -168944467968-283316846592*X-21424504832*X^4-216056987648*X^2-79725330432*X^3, 764504178688*X^4+7408818585600*X+2972117368832*X^3+6578010849280*X^2+3423088934912, 166010686537728+215731912310784*X+106223131164672*X^2+21440476741632*X^3+1430224109568*X^4, -3150667749261312-1090165778939904*X^3-3494471291371520*X^2-5339245644349440*X-150495654051840*X^4, -16007789788790784*X^2+70368744177664*X^4-55062786404777984-51548953400836096*X-1376588557975552*X^3, 644955928667357184*X^2+14284855068065792*X^4+1293008082078531584*X+1004008047787376640+150237268819312640*X^3, 199284283511144448*X^3+7178051710772838400+7318349394477056*X^4+5993305941611642880*X+1738389456165011456*X^2, -93691760747908956160-100458419188033126400*X-41630149055506022400*X^2-7926335344172072960*X^3-585467951558164480*X^4, -1801439850948198400*(X+4)^4]", "text": "This is operator \"14.9\" from ...", "degz": 14, "h3": null, "sol": "1 28/3 260 116240/27 7153796/81 138739856/81 25475908912/729 1578618954688/2187 33436113212396/2187 6493209532219376/19683", "n_discr_factors": "5", "c3": null, "operator": "4 14 0 0 0 0 9 -84 -492 -1260 -1536 96 -6864 10880 56576 1024 -43520 1076224 479232 -845824 4079616 344064 65409024 187596800 179568640 -29622272 68157440 -2370568192 -5837160448 -5052301312 -1820327936 -1499463680 -168944467968 -283316846592 -216056987648 -79725330432 -21424504832 3423088934912 7408818585600 6578010849280 2972117368832 764504178688 166010686537728 215731912310784 106223131164672 21440476741632 1430224109568 -3150667749261312 -5339245644349440 -3494471291371520 -1090165778939904 -150495654051840 -55062786404777984 -51548953400836096 -16007789788790784 -1376588557975552 70368744177664 1004008047787376640 1293008082078531584 644955928667357184 150237268819312640 14284855068065792 7178051710772838400 5993305941611642880 1738389456165011456 199284283511144448 7318349394477056 -93691760747908956160 -100458419188033126400 -41630149055506022400 -7926335344172072960 -585467951558164480 -461168601842738790400 -461168601842738790400 -172938225691027046400 -28823037615171174400 -1801439850948198400", "new_number": "14.9", "id": 388, "operator_tex": "3^{2} \\theta^4+2^{2} 3 x\\left(8\\theta^4-128\\theta^3-105\\theta^2-41\\theta-7\\right)-2^{4} x^{2}\\left(2720\\theta^4-64\\theta^3-3536\\theta^2-680\\theta+429\\right)+2^{10} x^{3}\\left(336\\theta^4+3984\\theta^3-826\\theta^2+468\\theta+1051\\right)+2^{12} x^{4}\\left(16640\\theta^4-7232\\theta^3+43840\\theta^2+45800\\theta+15969\\right)-2^{18} x^{5}\\left(5720\\theta^4+6944\\theta^3+19273\\theta^2+22267\\theta+9043\\right)-2^{21} x^{6}\\left(10216\\theta^4+38016\\theta^3+103024\\theta^2+135096\\theta+80559\\right)+2^{28} x^{7}\\left(2848\\theta^4+11072\\theta^3+24505\\theta^2+27600\\theta+12752\\right)+2^{29} 3 x^{8}\\left(888\\theta^4+13312\\theta^3+65952\\theta^2+133944\\theta+103073\\right)-2^{34} x^{9}\\left(8760\\theta^4+63456\\theta^3+203405\\theta^2+310785\\theta+183393\\right)+2^{36} x^{10}\\left(1024\\theta^4-20032\\theta^3-232944\\theta^2-750136\\theta-801269\\right)+2^{42} x^{11}\\left(3248\\theta^4+34160\\theta^3+146646\\theta^2+293996\\theta+228285\\right)+2^{44} x^{12}\\left(416\\theta^4+11328\\theta^3+98816\\theta^2+340680\\theta+408025\\right)-2^{50} 5 x^{13}\\left(104\\theta^4+1408\\theta^3+7395\\theta^2+17845\\theta+16643\\right)-2^{56} 5^{2} x^{14}\\left((\\theta+4)^4\\right)", "superseek": "44/3 220588/81", "discriminant": "14 9 96 -43520 344064 68157440 -1499463680 -21424504832 764504178688 1430224109568 -150495654051840 70368744177664 14284855068065792 7318349394477056 -585467951558164480 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