{"count": 2, "status":"OK", "data":[{"pols": "[X^4, 12+54*X+94*X^2+80*X^3+146*X^4, 2456+9092*X+14064*X^2+10896*X^3+9396*X^4, 210848+676592*X+920344*X^2+642432*X^3+352728*X^4, 9914944+28603392*X+34693728*X^2+21707072*X^3+8626912*X^4, 286847488+760763904*X+836176384*X^2+469761024*X^3+145606400*X^4, 5430845440+13443704832*X+13582102528*X^2+6899736576*X^3+1753843712*X^4, 69713803264+163008135168*X+153273556992*X^2+71104528384*X^3+15376457728*X^4, 619062042624+1381508808704*X+1222573686784*X^2+523627331584*X^3+99110846464*X^4, 3835533262848+8246965305344*X+6940439085056*X^2+2775432822784*X^3+470517284864*X^4, 16544582598656+34586228686848*X+27958274162688*X^2+10557532930048*X^3+1634704818176*X^4, 49013967552512+100486178930688*X+78794027171840*X^2+28418456420352*X^3+4089110855680*X^4, 96980135051264+196496062414848*X+150874785579008*X^2+52568789090304*X^3+7142262177792*X^4, 121818627178496+245231895183360*X+185897458860032*X^2+63264868270080*X^3+8239894757376*X^4, 87756919275520+175803748843520*X+132317204971520*X^2+44409961840640*X^3+5626407157760*X^4, 1717986918400*(X+2)^4]", "text": "This is operator \"15.2\" from ...", "degz": 15, "h3": null, "sol": "1 -12 136 -1632 21296 -302016 4597120 -73944576 1239638800 -21432549312", "n_discr_factors": "5", "c3": null, "operator": "4 15 0 0 0 0 1 12 54 94 80 146 2456 9092 14064 10896 9396 210848 676592 920344 642432 352728 9914944 28603392 34693728 21707072 8626912 286847488 760763904 836176384 469761024 145606400 5430845440 13443704832 13582102528 6899736576 1753843712 69713803264 163008135168 153273556992 71104528384 15376457728 619062042624 1381508808704 1222573686784 523627331584 99110846464 3835533262848 8246965305344 6940439085056 2775432822784 470517284864 16544582598656 34586228686848 27958274162688 10557532930048 1634704818176 49013967552512 100486178930688 78794027171840 28418456420352 4089110855680 96980135051264 196496062414848 150874785579008 52568789090304 7142262177792 121818627178496 245231895183360 185897458860032 63264868270080 8239894757376 87756919275520 175803748843520 132317204971520 44409961840640 5626407157760 27487790694400 54975581388800 41231686041600 13743895347200 1717986918400", "new_number": "15.2", "id": 390, "operator_tex": "\\theta^4+2 x\\left(73\\theta^4+40\\theta^3+47\\theta^2+27\\theta+6\\right)+2^{2} x^{2}\\left(2349\\theta^4+2724\\theta^3+3516\\theta^2+2273\\theta+614\\right)+2^{3} x^{3}\\left(44091\\theta^4+80304\\theta^3+115043\\theta^2+84574\\theta+26356\\right)+2^{5} x^{4}\\left(269591\\theta^4+678346\\theta^3+1084179\\theta^2+893856\\theta+309842\\right)+2^{8} x^{5}\\left(568775\\theta^4+1835004\\theta^3+3266314\\theta^2+2971734\\theta+1120498\\right)+2^{11} x^{6}\\left(856369\\theta^4+3369012\\theta^3+6631886\\theta^2+6564309\\theta+2651780\\right)+2^{11} x^{7}\\left(7508036\\theta^4+34719008\\theta^3+74840604\\theta^2+79593816\\theta+34039943\\right)+2^{13} x^{8}\\left(12098492\\theta^4+63919352\\theta^3+149239952\\theta^2+168641212\\theta+75569097\\right)+2^{16} x^{9}\\left(7179524\\theta^4+42349744\\theta^3+105902696\\theta^2+125838704\\theta+58525593\\right)+2^{19} x^{10}\\left(3117952\\theta^4+20136896\\theta^3+53326176\\theta^2+65967996\\theta+31556287\\right)+2^{21} x^{11}\\left(1949840\\theta^4+13550976\\theta^3+37571920\\theta^2+47915544\\theta+23371681\\right)+2^{23} x^{12}\\left(851424\\theta^4+6266688\\theta^3+17985676\\theta^2+23424156\\theta+11560933\\right)+2^{26} x^{13}\\left(122784\\theta^4+942720\\theta^3+2770088\\theta^2+3654240\\theta+1815239\\right)+2^{31} 5 x^{14}\\left(524\\theta^4+4136\\theta^3+12323\\theta^2+16373\\theta+8173\\right)+2^{36} 5^{2} x^{15}\\left((\\theta+2)^4\\right)", "superseek": "2 38", "discriminant": "15 1 146 9396 352728 8626912 145606400 1753843712 15376457728 99110846464 470517284864 1634704818176 4089110855680 7142262177792 8239894757376 5626407157760 1717986918400", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "76d5c5e186c39f14d8f32dfa0f13e22a", "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)(64z^2+24z+1)^2(160z^2+32z+1)^2(2z+1)^3(8z+1)^3", "discr_factors": "1717986918400, z+1/4, (z+1/8)^3, (z+1/2)^3, (z^2+3/8*z+1/64)^2, (z^2+1/5*z+1/160)^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","2","3","5"],"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":["2","2","2","2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -136-784*X-2144*X^2-2720*X^3-64*X^4, 444352+1122816*X+1019776*X^2-796160*X^3-522752*X^4, 50001920+269936640*X+352088064*X^2+228876288*X^3-94035968*X^4, 8842547200+29410820096*X+40418770944*X^2+22117744640*X^3+15603859456*X^4, -873796206592-2410739138560*X-3307079729152*X^2-2150623084544*X^3-578671345664*X^4, -28622404452352-30097671192576*X+255659606016*X^2+8752371597312*X^3+1532531572736*X^4, 6070163413663744+9713455489613824*X+6178141340958720*X^2+1899581893771264*X^3+251362424127488*X^4, -172540722870747136-252569810301353984*X-144114936820269056*X^2-38426582771040256*X^3-4091669314011136*X^4, -1174783059942178816-1443784180314931200*X-674882711030071296*X^2-142782442544037888*X^3-11853010225332224*X^4, 86238536735953780736+102056704474540408832*X+45550379149259964416*X^2+9120613879146086400*X^3+696380087498440704*X^4, -601077203566258552832-667162729829176967168*X-276642209690208436224*X^2-50723162993771675648*X^3-3471466072144609280*X^4, 1250914889094150488064+999707497171330793472*X+236333849533149609984*X^2+7419117436139470848*X^3-2143713422628356096*X^4, 2147825209088145358848+3559239821507176693760*X+1983885175452604563456*X^2+458403391671533305856*X^3+37469948899722526720*X^4, -9964970780294620643328-10986837535744986185728*X-4321906404003860709376*X^2-693626400209094311936*X^3-34731760326281265152*X^4, -1163441913336384454656-4000061160233455583232*X-3071382888272640344064*X^2-892361244565699559424*X^3-89927877359334064128*X^4, 10376293541461622784*(2*X+7)^4]", "text": "This is operator \"16.16\" from ...", "degz": 16, "h3": null, "sol": "1 136 21936 6207872 2654088976 1367919299712 774315803079424 464893987149551616 291054122818631339280 188078636859610461677696", "n_discr_factors": null, "c3": null, "operator": "4 16 0 0 0 0 1 -136 -784 -2144 -2720 -64 444352 1122816 1019776 -796160 -522752 50001920 269936640 352088064 228876288 -94035968 8842547200 29410820096 40418770944 22117744640 15603859456 -873796206592 -2410739138560 -3307079729152 -2150623084544 -578671345664 -28622404452352 -30097671192576 255659606016 8752371597312 1532531572736 6070163413663744 9713455489613824 6178141340958720 1899581893771264 251362424127488 -172540722870747136 -252569810301353984 -144114936820269056 -38426582771040256 -4091669314011136 -1174783059942178816 -1443784180314931200 -674882711030071296 -142782442544037888 -11853010225332224 86238536735953780736 102056704474540408832 45550379149259964416 9120613879146086400 696380087498440704 -601077203566258552832 -667162729829176967168 -276642209690208436224 -50723162993771675648 -3471466072144609280 1250914889094150488064 999707497171330793472 236333849533149609984 7419117436139470848 -2143713422628356096 2147825209088145358848 3559239821507176693760 1983885175452604563456 458403391671533305856 37469948899722526720 -9964970780294620643328 -10986837535744986185728 -4321906404003860709376 -693626400209094311936 -34731760326281265152 -1163441913336384454656 -4000061160233455583232 -3071382888272640344064 -892361244565699559424 -89927877359334064128 24913480793049356304384 28472549477770692919296 12202521204758868393984 2324289753287403503616 166020696663385964544", "new_number": "16.16", "id": 568, "operator_tex": "\\theta^4-2^{3} x\\left(8\\theta^4+340\\theta^3+268\\theta^2+98\\theta+17\\right)-2^{6} x^{2}\\left(8168\\theta^4+12440\\theta^3-15934\\theta^2-17544\\theta-6943\\right)-2^{11} x^{3}\\left(45916\\theta^4-111756\\theta^3-171918\\theta^2-131805\\theta-24415\\right)+2^{12} x^{4}\\left(3809536\\theta^4+5399840\\theta^3+9867864\\theta^2+7180376\\theta+2158825\\right)-2^{20} x^{5}\\left(551864\\theta^4+2050994\\theta^3+3153877\\theta^2+2299060\\theta+833317\\right)+2^{22} x^{6}\\left(365384\\theta^4+2086728\\theta^3+60954\\theta^2-7175844\\theta-6824113\\right)+2^{25} x^{7}\\left(7491184\\theta^4+56611952\\theta^3+184122960\\theta^2+289483532\\theta+180904967\\right)-2^{28} x^{8}\\left(15242656\\theta^4+143150176\\theta^3+536869976\\theta^2+940895864\\theta+642764281\\right)-2^{35} x^{9}\\left(344968\\theta^4+4155516\\theta^3+19641672\\theta^2+42019650\\theta+34190687\\right)+2^{38} x^{10}\\left(2533416\\theta^4+33180600\\theta^3+165711314\\theta^2+371280128\\theta+313733969\\right)-2^{42} x^{11}\\left(789320\\theta^4+11533112\\theta^3+62901156\\theta^2+151695242\\theta+136669133\\right)-2^{44} x^{12}\\left(121856\\theta^4-421728\\theta^3-13434024\\theta^2-56826792\\theta-71106279\\right)+2^{52} x^{13}\\left(8320\\theta^4+101786\\theta^3+440511\\theta^2+790310\\theta+476913\\right)-2^{54} x^{14}\\left(1928\\theta^4+38504\\theta^3+239914\\theta^2+609892\\theta+553167\\right)-2^{57} 3 x^{15}\\left(208\\theta^4+2064\\theta^3+7104\\theta^2+9252\\theta+2691\\right)+2^{60} 3^{2} x^{16}\\left((2\\theta+7)^4\\right)", "superseek": "368 2223792", "discriminant": null, "aesz": null, "n_sing_complex": null, "inst_int": null, "c2h": null, "hash": "cb63667ce6ab5ee8bbd15f2f42131e1b", "dim_h": null, "inst": " 368 -6434 2223792 7045475 63017278672 6375631918918 3612968948345840 785287932496725029 316950741200423788160 94937686483389917043754", "cleanlist": "True", "n_sing_real": null, "sol_explicit": null, "n_sing_rational": null, "n_sing": null, "laurent": null, "discriminant_tex": null, "discr_factors": null, "dm_basis": null, "q": "0 1 -240 30720 -5399552 744023984 -202811863552 20958983037952 -11004913065623552 -72906946203332456", "yuk": "1 368 -51104 60042752 450859296 7877159834368 1377136554477568 1239248349282623488 402067421438774074144 231057090335109001611392", "gv2": null, "gv0": null, "gv1": null}]}