{"count": 2, "status":"OK", "data":[{"pols": "[X^4, -4*(5*X^2+5*X+2)*(13*X^2+13*X+3), 17056*X^4+68224*X^3+100384*X^2+64320*X+13824, -500736*X^4-3004416*X^3-6319872*X^2-5439744*X-1416960, 7520256*X^4+60162048*X^3+164007936*X^2+174735360*X+51609600, -884736*(16*X^2+80*X+35)*(2*X+5)^2, 10616832*(2*X+11)*(2*X+7)*(2*X+5)*(2*X+1)]", "text": "This is operator \"6.14\" from ...", "degz": 6, "h3": null, "sol": "1 24 1224 96000 9633960 1108344384 138551567616 18316669003776 2521698279071400 358052604022576320", "n_discr_factors": "4", "c3": null, "operator": "4 6 0 0 0 0 1 -24 -164 -424 -520 -260 13824 64320 100384 68224 17056 -1416960 -5439744 -6319872 -3004416 -500736 51609600 174735360 164007936 60162048 7520256 -774144000 -2388787200 -1893335040 -566231040 -56623104 4087480320 11720982528 8068792320 2038431744 169869312", "new_number": "6.14", "id": 397, "operator_tex": "\\theta^4-2^{2} x(5\\theta^2+5\\theta+2)(13\\theta^2+13\\theta+3)+2^{5} x^{2}\\left(533\\theta^4+2132\\theta^3+3137\\theta^2+2010\\theta+432\\right)-2^{8} 3 x^{3}\\left(652\\theta^4+3912\\theta^3+8229\\theta^2+7083\\theta+1845\\right)+2^{12} 3^{2} x^{4}\\left(204\\theta^4+1632\\theta^3+4449\\theta^2+4740\\theta+1400\\right)-2^{15} 3^{3} x^{5}(16\\theta^2+80\\theta+35)(2\\theta+5)^2+2^{17} 3^{4} x^{6}(2\\theta+11)(2\\theta+7)(2\\theta+5)(2\\theta+1)", "superseek": "8 9928/3", "discriminant": "6 1 -260 17056 -500736 7520256 -56623104 169869312", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "44968de144621e2fa74ce3964a5435f7", "dim_h": null, "inst": " 8 471/2 9928/3 185385 6071232 2300082631/6 18155591704 2414821451639/2 208365112207712/3 4798279940094860", "cleanlist": "True", "n_sing_real": "6", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "6", "laurent": null, "discriminant_tex": "(12z-1)(24z-1)(2304z^2-192z+1)(-1+16z)^2", "discr_factors": "169869312, (-1/16+z)^2, z-1/24, z^2-1/12*z+1/2304, z-1/12", "dm_basis": null, "q": "0 1 -68 3702 -227248 13651901 -867353208 53803343898 -3491324552128 219804608348118", "yuk": "1 8 1892 89360 11866532 758904008 82803065960 6227367954480 618194303486116 50632722266563376", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/24-1/48*3^(1/2)","im":"0","approx_re":"0.005582","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/24","im":"0","approx_re":"0.0416666666667","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","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/24+1/48*3^(1/2)","im":"0","approx_re":"0.077751","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/12","im":"0","approx_re":"0.0833333333333","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","5/2","7/2","11/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[225*X^4, -3600-28350*X-85965*X^2-115230*X^3-60945*X^4, 299040+1655580*X+3487426*X^2+3302548*X^3+1210456*X^4, -9391920-47583720*X-80265896*X^2-36928992*X^3-489812*X^4, 108531424+457254800*X+559975368*X^2+26995232*X^3-113237888*X^4, -459370368-1440667968*X-188527568*X^2+2703382144*X^3+487624576*X^4, -664307712-5484702912*X-13980708608*X^2-11759384064*X^3+1758486528*X^4, -947968*(2*X+1)*(8454*X^3+5577*X^2-4303*X-3155), 610491392*(2*X+1)*(4*X+3)*(4*X+5)*(2*X+3)]", "text": "This is operator \"8.88\" from ...", "degz": 8, "h3": null, "sol": "1 16 1224 146320 21334600 3485565216 613131550416 113597150382144 21871393240399560 4337630836910800000", "n_discr_factors": "2", "c3": null, "operator": "4 8 0 0 0 0 225 -3600 -28350 -85965 -115230 -60945 299040 1655580 3487426 3302548 1210456 -9391920 -47583720 -80265896 -36928992 -489812 108531424 457254800 559975368 26995232 -113237888 -459370368 -1440667968 -188527568 2703382144 487624576 -664307712 -5484702912 -13980708608 -11759384064 1758486528 2990839040 10060784384 2871395072 -18587756544 -16028242944 27472112640 131866140672 222218866688 156285796352 39071449088", "new_number": "8.88", "id": 615, "operator_tex": "3^{2} 5^{2} \\theta^4-3 5 x\\left(4063\\theta^4+7682\\theta^3+5731\\theta^2+1890\\theta+240\\right)+2 x^{2}\\left(605228\\theta^4+1651274\\theta^3+1743713\\theta^2+827790\\theta+149520\\right)-2^{2} x^{3}\\left(122453\\theta^4+9232248\\theta^3+20066474\\theta^2+11895930\\theta+2347980\\right)-2^{3} x^{4}\\left(14154736\\theta^4-3374404\\theta^3-69996921\\theta^2-57156850\\theta-13566428\\right)+2^{4} x^{5}\\left(30476536\\theta^4+168961384\\theta^3-11782973\\theta^2-90041748\\theta-28710648\\right)+2^{6} 23 x^{6}\\left(1194624\\theta^4-7988712\\theta^3-9497764\\theta^2-3726021\\theta-451296\\right)-2^{8} 7 23^{2} x^{7}(2\\theta+1)(8454\\theta^3+5577\\theta^2-4303\\theta-3155)+2^{10} 7^{2} 23^{3} x^{8}(2\\theta+1)(4\\theta+3)(4\\theta+5)(2\\theta+3)", "superseek": "571/15 394769/15", "discriminant": "8 225 -60945 1210456 -489812 -113237888 487624576 1758486528 -16028242944 39071449088", "aesz": null, "n_sing_complex": "2", "inst_int": null, "c2h": null, "hash": "96ea6b0b71373481f874100af7f89d67", "dim_h": null, "inst": " 571/15 3038/5 394769/15 23541584/15 352406944/3 150234715576/15 14069083470596/15 94040543125688 149022677890363768/15 3281323125192312104/3", "cleanlist": "True", "n_sing_real": "1", "sol_explicit": null, "n_sing_rational": "1", "n_sing": "3", "laurent": null, "discriminant_tex": "(1-261z+2952z^2-12368z^3+23552z^4)(-15+74z+1288z^2)^2", "discr_factors": "39071449088, (-15/1288+37/644*z+z^2)^2, 1/23552-261/23552*z+369/2944*z^2-773/1472*z^3+z^4", "dm_basis": null, "q": "0 1 -62 1091 -42948 -1161275 -172648938 -16995937917 -1934173459304 -225217197298315", "yuk": "1 571/15 73483/15 10659334/15 502244953/5 220254340571/15 32450709296662/15 1608565210138333/5 240743790904006233/5 108637532182085846206/15", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"s_1","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"s_3","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"s_2","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"s_5","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"s_4","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"s_6","im":"0","approx_re":"0.0","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":["1/2","3/4","5/4","3/2"],"monodromy":[],"monodromy_dm":[]}]}]}