{"count": 2, "status":"OK", "data":[{"pols": "[X^4, -24*X^3+84*X^4+4+12*X, -896*X-528-256*X^2-1536*X^3+2016*X^4, -10432-14464*X^2-21504*X^3+5376*X^4-23424*X, 3072000*X^3+239616*X^4+2500608+7127040*X+7557120*X^2, 528994304*X+200302592+512352256*X^2+205283328*X^3+28790784*X^4, 14929625088*X+4824367104*X^3+13212516352*X^2+6033784832+631603200*X^4, 183785619456*X+46446673920*X^3+146370330624*X^2+79572303872+5081923584*X^4, 340338409472+717557334016*X+9616490496*X^4+122922467328*X^3+490150559744*X^2, -8388608*(2*X+3)*(2114*X^3+16713*X^2+37111*X+22497), 5033164800*(X+1)*(2*X+5)*(2*X+3)*(X+3)]", "text": "This is operator \"10.6\" from ...", "degz": 10, "h3": null, "sol": "1 -4 52 -688 2500 -124624 660976 -2006848 504491332 4419175280", "n_discr_factors": "4", "c3": null, "operator": "4 10 0 0 0 0 1 4 12 0 -24 84 -528 -896 -256 -1536 2016 -10432 -23424 -14464 -21504 5376 2500608 7127040 7557120 3072000 239616 200302592 528994304 512352256 205283328 28790784 6033784832 14929625088 13212516352 4824367104 631603200 79572303872 183785619456 146370330624 46446673920 5081923584 340338409472 717557334016 490150559744 122922467328 9616490496 -566155542528 -1311365922816 -1043215679488 -333598162944 -35467034624 226492416000 543581798400 458017996800 161061273600 20132659200", "new_number": "10.6", "id": 322, "operator_tex": "\\theta^4+2^{2} x\\left(21\\theta^4-6\\theta^3+3\\theta+1\\right)+2^{4} x^{2}\\left(126\\theta^4-96\\theta^3-16\\theta^2-56\\theta-33\\right)+2^{6} x^{3}\\left(84\\theta^4-336\\theta^3-226\\theta^2-366\\theta-163\\right)+2^{11} 3 x^{4}\\left(39\\theta^4+500\\theta^3+1230\\theta^2+1160\\theta+407\\right)+2^{12} x^{5}\\left(7029\\theta^4+50118\\theta^3+125086\\theta^2+129149\\theta+48902\\right)+2^{14} x^{6}\\left(38550\\theta^4+294456\\theta^3+806428\\theta^2+911232\\theta+368273\\right)+2^{16} x^{7}\\left(77544\\theta^4+708720\\theta^3+2233434\\theta^2+2804346\\theta+1214177\\right)+2^{20} x^{8}\\left(9171\\theta^4+117228\\theta^3+467444\\theta^2+684316\\theta+324572\\right)-2^{23} x^{9}(2\\theta+3)(2114\\theta^3+16713\\theta^2+37111\\theta+22497)+2^{26} 3 5^{2} x^{10}(\\theta+1)(2\\theta+5)(2\\theta+3)(\\theta+3)", "superseek": "8 2200/9", "discriminant": "10 1 84 2016 5376 239616 28790784 631603200 5081923584 9616490496 -35467034624 20132659200", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "b5aa0abf76ddfbd280ec220a43822aa4", "dim_h": null, "inst": " 8 -75/2 2200/9 -8117/2 47936 -4052675/6 11499480 -175321542 2998366528 -53613060132", "cleanlist": "True", "n_sing_real": "6", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "8", "laurent": null, "discriminant_tex": "(12z+1)(6400z^3+192z^2-24z+1)(16z+1)^2(32z^2-32z-1)^2", "discr_factors": "20132659200, (z+1/16)^2, z+1/12, z^3+3/100*z^2-3/800*z+1/6400, (z^2-z-1/32)^2", "dm_basis": null, "q": "0 1 -4 6 464 3333 -67896 874138 -18622400 293110866", "yuk": "1 8 -292 6608 -260036 5992008 -145889992 3944321648 -89764889540 2185809205520", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-9/200*2^(1/3)-3/200*2^(2/3)-1/100","im":"0","approx_re":"-0.090507","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":"-1/16","im":"0","approx_re":"-0.0625","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/2-3/8*2^(1/2)","im":"0","approx_re":"-0.03033","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":"9/400*2^(1/3)+3/400*2^(2/3)-1/100","im":"1/8*3^(1/2)*(-9/50*2^(1/3)+3/50*2^(2/3))","approx_re":"0.030254","approx_im":"-0.02848","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"9/400*2^(1/3)+3/400*2^(2/3)-1/100","im":"-1/8*3^(1/2)*(-9/50*2^(1/3)+3/50*2^(2/3))","approx_re":"0.030254","approx_im":"0.02848","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/2+3/8*2^(1/2)","im":"0","approx_re":"1.03033","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","3/2","5/2","3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 8*X*(4*X^3-8*X^2-5*X-1), -768*X^4-1920*X^3-720*X^2-1184*X-576, -12928*X^4+43776*X^3+49536*X^2+52480*X+21888, 798976*X^4+3610624*X^3+7907584*X^2+7096320*X+2393856, 12072960*X^4+74870784*X^3+185812992*X^2+189333504*X+71073792, 691863552*X+324882432-103809024*X^3-83755008*X^4+366796800*X^2, -1367801856*X^4-10769006592*X^3-27168473088*X^2-29974855680*X-12247400448, -127210881024*X+7134511104*X^3-69343838208-59103903744*X^2+5833949184*X^4, 58350108672*X^4+615096778752*X^3+1952435404800*X^2+2512494526464*X+1124959518720, -764411904*(X+1)*(368*X^3+1752*X^2+1297*X-1035), -18345885696*(X+1)*(X+2)*(39*X^2+513*X+1172), 330225942528*(X+3)*(X+2)*(X+1)*(17*X+82), -7925422620672*(X+1)*(X+2)*(X+3)*(X+4)]", "text": "This is operator \"13.9\" from ...", "degz": 13, "h3": null, "sol": "1 0 36 -192 -4284 -155520 -2431440 -24917760 300589380 21072871680", "n_discr_factors": "5", "c3": null, "operator": "4 13 0 0 0 0 1 0 -8 -40 -64 32 -576 -1184 -720 -1920 -768 21888 52480 49536 43776 -12928 2393856 7096320 7907584 3610624 798976 71073792 189333504 185812992 74870784 12072960 324882432 691863552 366796800 -103809024 -83755008 -12247400448 -29974855680 -27168473088 -10769006592 -1367801856 -69343838208 -127210881024 -59103903744 7134511104 5833949184 1124959518720 2512494526464 1952435404800 615096778752 58350108672 791166320640 -200275918848 -2330691895296 -1620553236480 -281303580672 -43002756071424 -83327012831232 -51166675206144 -11557907988480 -715489542144 162471163723776 331546846298112 224223414976512 60761573425152 5613841022976 -190210142896128 -396271131033600 -277389791723520 -79254226206720 -7925422620672", "new_number": "13.9", "id": 377, "operator_tex": "\\theta^4+2^{3} x\\theta(4\\theta^3-8\\theta^2-5\\theta-1)-2^{4} x^{2}\\left(48\\theta^4+120\\theta^3+45\\theta^2+74\\theta+36\\right)-2^{7} x^{3}\\left(101\\theta^4-342\\theta^3-387\\theta^2-410\\theta-171\\right)+2^{8} x^{4}\\left(3121\\theta^4+14104\\theta^3+30889\\theta^2+27720\\theta+9351\\right)+2^{11} 3^{2} x^{5}\\left(655\\theta^4+4062\\theta^3+10081\\theta^2+10272\\theta+3856\\right)-2^{12} 3^{2} x^{6}\\left(2272\\theta^4+2816\\theta^3-9950\\theta^2-18768\\theta-8813\\right)-2^{15} 3^{3} x^{7}\\left(1546\\theta^4+12172\\theta^3+30708\\theta^2+33880\\theta+13843\\right)+2^{16} 3^{4} x^{8}\\left(1099\\theta^4+1344\\theta^3-11134\\theta^2-23964\\theta-13063\\right)+2^{19} 3^{5} x^{9}\\left(458\\theta^4+4828\\theta^3+15325\\theta^2+19721\\theta+8830\\right)-2^{20} 3^{6} x^{10}(\\theta+1)(368\\theta^3+1752\\theta^2+1297\\theta-1035)-2^{23} 3^{7} x^{11}(\\theta+1)(\\theta+2)(39\\theta^2+513\\theta+1172)+2^{24} 3^{9} x^{12}(\\theta+3)(\\theta+2)(\\theta+1)(17\\theta+82)-2^{27} 3^{10} x^{13}(\\theta+1)(\\theta+2)(\\theta+3)(\\theta+4)", "superseek": "8 2200/9", "discriminant": "13 1 32 -768 -12928 798976 12072960 -83755008 -1367801856 5833949184 58350108672 -281303580672 -715489542144 5613841022976 -7925422620672", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "31ff3b7bd4c8fed070ee43b6903d3752", "dim_h": null, "inst": " 8 -75/2 2200/9 -8117/2 47936 -4052675/6 11499480 -175321542 2998366528 -53613060132", "cleanlist": "True", "n_sing_real": "7", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "9", "laurent": null, "discriminant_tex": "-(8z+1)(5184z^3+432z^2-36z+1)(12z+1)^2(144z^2-24z-1)^2(4z-1)^3", "discr_factors": "-7925422620672, (z-1/4)^3, (z^2-1/6*z-1/144)^2, (z+1/12)^2, z^3+1/12*z^2-1/144*z+1/5184, z+1/8", "dm_basis": null, "q": "0 1 -8 54 96 2149 -74736 1483178 -32369792 559973682", "yuk": "1 8 -292 6608 -260036 5992008 -145889992 3944321648 -89764889540 2185809205520", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/18*2^(1/3)-1/36*2^(2/3)-1/36","im":"0","approx_re":"-0.141868","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/8","im":"0","approx_re":"-0.125","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","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/12-1/12*2^(1/2)","im":"0","approx_re":"-0.034518","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":"1/36*2^(1/3)+1/72*2^(2/3)-1/36","im":"1/24*3^(1/2)*(-2/3*2^(1/3)+1/3*2^(2/3))","approx_re":"0.029267","approx_im":"-0.022431","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/36*2^(1/3)+1/72*2^(2/3)-1/36","im":"-1/24*3^(1/2)*(-2/3*2^(1/3)+1/3*2^(2/3))","approx_re":"0.029267","approx_im":"0.022431","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/12+1/12*2^(1/2)","im":"0","approx_re":"0.201184","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/4","im":"0","approx_re":"0.25","approx_im":"0.0","exponents":["0","1/2","3/2","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","2","3","4"],"monodromy":[],"monodromy_dm":[]}]}]}