{"count": 2, "status":"OK", "data":[{"pols": "[X^4, -1408*X^4-512*X^3-528*X^2-272*X-48, 770048*X^4+720896*X^3+735232*X^2+305152*X+47616, -203423744*X^4-352321536*X^3-362020864*X^2-170655744*X-30670848, 25165824*(2*X+1)*(512*X^3+1152*X^2+1054*X+339), -19327352832*(2*X+1)*(4*X+3)*(4*X+5)*(2*X+3)]", "text": "This is operator \"5.13\" from ...", "degz": 5, "h3": "32", "sol": "1 48 5328 779520 131619600 24257173248 4739368322304 965015828434944 202584554505899280 43534711014765484800", "n_discr_factors": "3", "c3": "360", "operator": "4 5 0 0 0 0 1 -48 -272 -528 -512 -1408 47616 305152 735232 720896 770048 -30670848 -170655744 -362020864 -352321536 -203423744 8531214336 43587207168 82040586240 70866960384 25769803776 -869730877440 -4174708211712 -7035156430848 -4947802324992 -1236950581248", "new_number": "5.13", "id": 220, "operator_tex": "\\theta^4-2^{4} x\\left(88\\theta^4+32\\theta^3+33\\theta^2+17\\theta+3\\right)+2^{9} x^{2}\\left(1504\\theta^4+1408\\theta^3+1436\\theta^2+596\\theta+93\\right)-2^{18} x^{3}\\left(776\\theta^4+1344\\theta^3+1381\\theta^2+651\\theta+117\\right)+2^{23} 3 x^{4}(2\\theta+1)(512\\theta^3+1152\\theta^2+1054\\theta+339)-2^{31} 3^{2} x^{5}(2\\theta+1)(4\\theta+3)(4\\theta+5)(2\\theta+3)", "superseek": "-80 -174096", "discriminant": "5 1 -1408 770048 -203423744 25769803776 -1236950581248", "aesz": "83", "n_sing_complex": "0", "inst_int": "", "c2h": "-16", "hash": "171e1251d8e4f7de878d0d07de6f58ab", "dim_h": "4", "inst": " -80 -2954 -174096 -13270953 -1179175536 -115795446786 -12188186517456 -1349830285576015 -155427513115593600 -18456445525841201614", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "-(128z-1)(384z-1)^2(256z-1)^2", "discr_factors": "-1236950581248, (z-1/384)^2, z-1/128, (z-1/256)^2", "dm_basis": null, "q": "0 1 -80 3840 -181248 5466544 -307951104 46314496 -945821483008 -60856937695080", "yuk": "1 -80 -23712 -4700672 -849364704 -147396942080 -25011821230080 -4180547975487488 -691113107064284384 -113306657061272435072", "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":"1/384","im":"0","approx_re":"0.00260416666667","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/256","im":"0","approx_re":"0.00390625","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/128","im":"0","approx_re":"0.0078125","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":[]}]}, {"pols": "[X^4, 48+304*X+816*X^2+1024*X^3+352*X^4, 40960+213504*X+483840*X^2+319488*X^3-89088*X^4, 15908864+62472192*X+83902464*X^2-49152000*X^3-36536320*X^4, 1259339776+3589799936*X+1763180544*X^2-17469276160*X^3+1499463680*X^4, 96502546432+185220464640*X+10871635968*X^2+64424509440*X^3+984084381696*X^4, 481036337152*(X+1)*(46*X^3+86*X^2+67*X+20), -1724034232352768*(X+1)^4]", "text": "This is operator \"7.2\" from ...", "degz": 7, "h3": null, "sol": "1 -48 5072 -733440 124117776 -22993813248 4514074006784 -922557199896576 194202215551290640 -41817326010225224448", "n_discr_factors": "4", "c3": null, "operator": "4 7 0 0 0 0 1 48 304 816 1024 352 40960 213504 483840 319488 -89088 15908864 62472192 83902464 -49152000 -36536320 1259339776 3589799936 1763180544 -17469276160 1499463680 96502546432 185220464640 10871635968 64424509440 984084381696 9620726743040 41850161332224 73598559584256 63496796504064 22127671508992 -1724034232352768 -6896136929411072 -10344205394116608 -6896136929411072 -1724034232352768", "new_number": "7.2", "id": 445, "operator_tex": "\\theta^4+2^{4} x\\left(22\\theta^4+64\\theta^3+51\\theta^2+19\\theta+3\\right)-2^{9} x^{2}\\left(174\\theta^4-624\\theta^3-945\\theta^2-417\\theta-80\\right)-2^{14} x^{3}\\left(2230\\theta^4+3000\\theta^3-5121\\theta^2-3813\\theta-971\\right)+2^{19} x^{4}\\left(2860\\theta^4-33320\\theta^3+3363\\theta^2+6847\\theta+2402\\right)+2^{27} x^{5}\\left(7332\\theta^4+480\\theta^3+81\\theta^2+1380\\theta+719\\right)+2^{36} 7 x^{6}(\\theta+1)(46\\theta^3+86\\theta^2+67\\theta+20)-2^{45} 7^{2} x^{7}\\left((\\theta+1)^4\\right)", "superseek": "-80 -249872", "discriminant": "7 1 352 -89088 -36536320 1499463680 984084381696 22127671508992 -1724034232352768", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "341389ebf4ab0242c5b70d9a8fd7a1d9", "dim_h": null, "inst": " -80 -4202 -249872 -22251117 -2195810928 -242075456098 -28398707449808 -3506021022953923 -449382234721506176 -59370368013868946798", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "-(64z+1)(32z-1)(224z-1)^2(256z+1)^3", "discr_factors": "-1724034232352768, (z-1/224)^2, (z+1/256)^3, z+1/64, z-1/32", "dm_basis": null, "q": "0 1 112 10624 1182720 141298608 18027074048 2404776557568 332011071045632 47052345138815128", "yuk": "1 -80 -33696 -6746624 -1424105184 -274476366080 -52288305297408 -9740756655284224 -1795082765176513760 -327599649111984748928", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/64","im":"0","approx_re":"-0.015625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/256","im":"0","approx_re":"-0.00390625","approx_im":"0.0","exponents":["0","1/2","3/2","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":"1/224","im":"0","approx_re":"0.00446428571429","approx_im":"0.0","exponents":["0","1","3","4"],"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":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}]}