{"count": 2, "status":"OK", "data":[{"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 -17022976 531300352 -15289286656 419749167104 -9439801245696 173190261243904 -2972529685692416 47481310133878784 -581527301884215296 4593671619917905920 -20176126330619822080 36893488147419103232", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "a787adbb87527c14af9a5f2508991317", "dim_h": null, "inst": " 92/5 -342/5 -76/5 75394/5 -2156752/5 46898574/5 -778024236/5 7887187698/5 16606513848 -7483257686776/5", "cleanlist": "True", "n_sing_real": "7", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "9", "laurent": null, "discriminant_tex": "(64z-1)(32z-1)(256z^2-48z+1)(32768z^3-1024z^2-5-32z)^2(16z-1)^4", "discr_factors": "36893488147419103232, (z-1/16)^4, z-1/64, (z^3-1/32*z^2-5/32768-1/1024*z)^2, z^2-3/16*z+1/256, z-1/32", "dm_basis": null, "q": "0 1 -36 1126 -32528 864129 -20968728 453446770 -8252382784 104345470868", "yuk": "1 92/5 -2644/5 -392 4822572/5 -269593908/5 10130087288/5 -266862312856/5 4038244923948/5 12106148594800", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/192*(73+9*65^(1/2))^(1/3)-1/48/(73+9*65^(1/2))^(1/3)+1/96","im":"-1/64*3^(1/2)*(1/3*(73+9*65^(1/2))^(1/3)-4/3/(73+9*65^(1/2))^(1/3))","approx_re":"-0.020941","approx_im":"-0.040594","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/192*(73+9*65^(1/2))^(1/3)-1/48/(73+9*65^(1/2))^(1/3)+1/96","im":"1/64*3^(1/2)*(1/3*(73+9*65^(1/2))^(1/3)-4/3/(73+9*65^(1/2))^(1/3))","approx_re":"-0.020941","approx_im":"0.040594","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":"1/64","im":"0","approx_re":"0.015625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"3/32-1/32*5^(1/2)","im":"0","approx_re":"0.023873","approx_im":"0.0","exponents":["0","1","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":"1/16","im":"0","approx_re":"0.0625","approx_im":"0.0","exponents":["-1/2","-1/2","1/2","1/2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/96*(73+9*65^(1/2))^(1/3)+1/24/(73+9*65^(1/2))^(1/3)+1/96","im":"0","approx_re":"0.073133","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"3/32+1/32*5^(1/2)","im":"0","approx_re":"0.163627","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":[]}]}]}