{"count": 2, "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": "[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":[]}]}]}