{"count": 16, "status":"OK", "data":[{"pols": "[X^4, -140*X^4-152*X^3-140*X^2-64*X-12, 8736*X^4+17088*X^3+20592*X^2+12640*X+3216, -315392*X^4-824832*X^3-1141056*X^2-811072*X-236352, 7199488*X^4+22632448*X^3+33786112*X^2+25145856*X+7554816, -104279040*X^4-378722304*X^3-599851008*X^2-439520256*X-124710912, 860700672*X^4+3588636672*X^3+5853929472*X^2+3884212224*X+863797248, -1825210368*X^4-9822339072*X^3-9894887424*X^2+8154611712*X+9521528832, -34791358464*X^4-172884492288*X^3-449399881728*X^2-605350526976*X-289478541312, 286399660032*X^4+1812675428352*X^3+4617302704128*X^2+5673210347520*X+2552626151424, 12230590464*(X+1)*(X^3-105*X^2-277*X-267), -73383542784*(X+1)*(X+2)*(93*X^2+441*X+607), 7925422620672*(X+3)*(X+2)*(X+1)*(X+6), 63403380965376*(X+1)*(X+2)*(X+3)*(X+4)]", "text": "This is operator \"13.10\" from ...", "degz": 13, "h3": null, "sol": "1 12 180 2928 47556 674352 5050224 -159433920 -10791594684 -419663644368", "n_discr_factors": "5", "c3": null, "operator": "4 13 0 0 0 0 1 -12 -64 -140 -152 -140 3216 12640 20592 17088 8736 -236352 -811072 -1141056 -824832 -315392 7554816 25145856 33786112 22632448 7199488 -124710912 -439520256 -599851008 -378722304 -104279040 863797248 3884212224 5853929472 3588636672 860700672 9521528832 8154611712 -9894887424 -9822339072 -1825210368 -289478541312 -605350526976 -449399881728 -172884492288 -34791358464 2552626151424 5673210347520 4617302704128 1812675428352 286399660032 -3265567653888 -6653441212416 -4672085557248 -1271981408256 12230590464 -89087620939776 -198355716145152 -155279576530944 -52836150804480 -6824669478912 285315214344192 570630428688384 372494863171584 95105071448064 7925422620672 1521681143169024 3170169048268800 2219118333788160 634033809653760 63403380965376", "new_number": "13.10", "id": 362, "operator_tex": "\\theta^4-2^{2} x\\left(35\\theta^4+38\\theta^3+35\\theta^2+16\\theta+3\\right)+2^{4} x^{2}\\left(546\\theta^4+1068\\theta^3+1287\\theta^2+790\\theta+201\\right)-2^{6} x^{3}\\left(4928\\theta^4+12888\\theta^3+17829\\theta^2+12673\\theta+3693\\right)+2^{8} x^{4}\\left(28123\\theta^4+88408\\theta^3+131977\\theta^2+98226\\theta+29511\\right)-2^{10} 3^{2} x^{5}\\left(11315\\theta^4+41094\\theta^3+65088\\theta^2+47691\\theta+13532\\right)+2^{13} 3^{2} x^{6}\\left(11674\\theta^4+48674\\theta^3+79399\\theta^2+52683\\theta+11716\\right)-2^{15} 3^{3} x^{7}\\left(2063\\theta^4+11102\\theta^3+11184\\theta^2-9217\\theta-10762\\right)-2^{17} 3^{4} x^{8}\\left(3277\\theta^4+16284\\theta^3+42329\\theta^2+57018\\theta+27266\\right)+2^{20} 3^{5} x^{9}\\left(1124\\theta^4+7114\\theta^3+18121\\theta^2+22265\\theta+10018\\right)+2^{24} 3^{6} x^{10}(\\theta+1)(\\theta^3-105\\theta^2-277\\theta-267)-2^{25} 3^{7} x^{11}(\\theta+1)(\\theta+2)(93\\theta^2+441\\theta+607)+2^{27} 3^{10} x^{12}(\\theta+3)(\\theta+2)(\\theta+1)(\\theta+6)+2^{30} 3^{10} x^{13}(\\theta+1)(\\theta+2)(\\theta+3)(\\theta+4)", "superseek": "4 -628/9", "discriminant": "13 1 -140 8736 -315392 7199488 -104279040 860700672 -1825210368 -34791358464 286399660032 12230590464 -6824669478912 7925422620672 63403380965376", "aesz": null, "n_sing_complex": "4", "inst_int": "", "c2h": null, "hash": "2a9fda379889eb2fd218bd01f2520f7a", "dim_h": null, "inst": " 4 5 -628/9 -2823/4 672 133867/9 207788 15579985/4 94033312/3 -299026336", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "6", "n_sing": "9", "laurent": null, "discriminant_tex": "(8z-1)(10368z^3-1728z^2+72z-1)(12z-1)^2(288z^2-24z+1)^2(4z+1)^3", "discr_factors": "63403380965376, z-1/8, z^3-1/6*z^2+1/144*z-1/10368, (z-1/12)^2, (z+1/4)^3, (z^2-1/12*z+1/288)^2", "dm_basis": null, "q": "0 1 -16 198 -1760 13349 -57888 -559014 17566336 -323621262", "yuk": "1 4 44 -1880 -45124 84004 3210968 71271288 1994192956 22850092936", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/4","im":"0","approx_re":"-0.25","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":"-1/72*2^(1/3)-1/144*2^(2/3)+1/18","im":"-1/24*3^(1/2)*(1/3*2^(1/3)-1/6*2^(2/3))","approx_re":"0.027033","approx_im":"-0.011216","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/72*2^(1/3)-1/144*2^(2/3)+1/18","im":"1/24*3^(1/2)*(1/3*2^(1/3)-1/6*2^(2/3))","approx_re":"0.027033","approx_im":"0.011216","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/24","im":"-1/24","approx_re":"0.0416666666667","approx_im":"-0.0416666666667","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/24","im":"1/24","approx_re":"0.0416666666667","approx_im":"0.0416666666667","exponents":["0","1","3","4"],"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":"1/36*2^(1/3)+1/72*2^(2/3)+1/18","im":"0","approx_re":"0.112601","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":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","2","3","4"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -98*X^4-164*X^3-137*X^2-55*X-9, 3822*X^4+11400*X^3+14901*X^2+8746*X+2007, -64148*X^4-196344*X^3-271665*X^2-199855*X-60354, 802771*X^4+2242504*X^3+2203855*X^2+1316868*X+390636, -2072466-11384370*X-21473472*X^2-17894556*X^3-6240870*X^4, 34703892*X^4+88520976*X^3+131922738*X^2+92783340*X+24084054, -106587576*X^4-370055952*X^3-517140450*X^2-341720694*X-88435476, 61135479*X^4+605217744*X^3+1126226430*X^2+715267584*X+125073072, 382650642*X^4+1610148132*X^3+2858927319*X^2+2931610077*X+1242795555, -59049*(X+1)*(8018*X^3+62342*X^2+139257*X+108861), -19683*(X+1)*(X+2)*(28988*X^2+81396*X+36331), 531441*(X+3)*(X+2)*(X+1)*(1061*X+5386), 487862838*(X+1)*(X+2)*(X+3)*(X+4)]", "text": "This is operator \"13.11\" from ...", "degz": 13, "h3": null, "sol": "1 9 135 2115 18063 -742041 -58425219 -2629040895 -91773711585 -2470544785593", "n_discr_factors": "5", "c3": null, "operator": "4 13 0 0 0 0 1 -9 -55 -137 -164 -98 2007 8746 14901 11400 3822 -60354 -199855 -271665 -196344 -64148 390636 1316868 2203855 2242504 802771 -2072466 -11384370 -21473472 -17894556 -6240870 24084054 92783340 131922738 88520976 34703892 -88435476 -341720694 -517140450 -370055952 -106587576 125073072 715267584 1126226430 605217744 61135479 1242795555 2931610077 2858927319 1610148132 382650642 -6428133189 -14651119782 -11904219351 -4154687640 -473454882 -1430206146 -5349544155 -6662597085 -3313829880 -570570804 17174047356 34868906892 23376495267 6245494632 563858901 11708708112 24393141900 17075199330 4878628380 487862838", "new_number": "13.11", "id": 363, "operator_tex": "\\theta^4-x\\left(98\\theta^4+164\\theta^3+137\\theta^2+55\\theta+9\\right)+x^{2}\\left(3822\\theta^4+11400\\theta^3+14901\\theta^2+8746\\theta+2007\\right)-x^{3}\\left(64148\\theta^4+196344\\theta^3+271665\\theta^2+199855\\theta+60354\\right)+x^{4}\\left(802771\\theta^4+2242504\\theta^3+2203855\\theta^2+1316868\\theta+390636\\right)-2 3 x^{5}\\left(1040145\\theta^4+2982426\\theta^3+3578912\\theta^2+1897395\\theta+345411\\right)+2 3^{2} x^{6}\\left(1927994\\theta^4+4917832\\theta^3+7329041\\theta^2+5154630\\theta+1338003\\right)-2 3^{5} x^{7}\\left(219316\\theta^4+761432\\theta^3+1064075\\theta^2+703129\\theta+181966\\right)+3^{4} x^{8}\\left(754759\\theta^4+7471824\\theta^3+13904030\\theta^2+8830464\\theta+1544112\\right)+3^{7} x^{9}\\left(174966\\theta^4+736236\\theta^3+1307237\\theta^2+1340471\\theta+568265\\right)-3^{10} x^{10}(\\theta+1)(8018\\theta^3+62342\\theta^2+139257\\theta+108861)-3^{9} x^{11}(\\theta+1)(\\theta+2)(28988\\theta^2+81396\\theta+36331)+3^{12} x^{12}(\\theta+3)(\\theta+2)(\\theta+1)(1061\\theta+5386)+2 3^{15} 17 x^{13}(\\theta+1)(\\theta+2)(\\theta+3)(\\theta+4)", "superseek": "7 -2044/9", "discriminant": "13 1 -98 3822 -64148 802771 -6240870 34703892 -106587576 61135479 382650642 -473454882 -570570804 563858901 487862838", "aesz": null, "n_sing_complex": "4", "inst_int": "", "c2h": null, "hash": "d6e183df7853fe5068c8b8cdeb3f63cb", "dim_h": null, "inst": " 7 -31/4 -2044/9 -1380 -8520 1625077/9 5885526 71672646 -85064144/3 -25138098376", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "9", "laurent": null, "discriminant_tex": "(2z-1)(4131z^3-2187z^2+81z-1)(3z-1)^2(81z^2-6z+1)^2(z+1)^3", "discr_factors": "487862838, z-1/2, z^3-9/17*z^2+1/51*z-1/4131, (z^2-2/27*z+1/81)^2, (z-1/3)^2, (z+1)^3", "dm_basis": null, "q": "0 1 -19 297 -2927 28877 -227367 453751 -17165155 -7631523", "yuk": "1 7 -55 -6125 -88375 -1064993 38995661 2018735425 36696306377 -20670593117", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1","im":"0","approx_re":"-1.0","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":"-2/51*3^(2/3)-8/153*3^(1/3)+3/17","im":"-1/6*3^(1/2)*(4/17*3^(2/3)-16/51*3^(1/3))","approx_re":"0.019487","approx_im":"-0.01067","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-2/51*3^(2/3)-8/153*3^(1/3)+3/17","im":"1/6*3^(1/2)*(4/17*3^(2/3)-16/51*3^(1/3))","approx_re":"0.019487","approx_im":"0.01067","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/27","im":"-2/27*2^(1/2)","approx_re":"0.037037037037","approx_im":"-0.104757","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/27","im":"2/27*2^(1/2)","approx_re":"0.037037037037","approx_im":"0.104757","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/3","im":"0","approx_re":"0.333333333333","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"4/51*3^(2/3)+16/153*3^(1/3)+3/17","im":"0","approx_re":"0.490438","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/2","im":"0","approx_re":"0.5","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"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[9*X^4, -204-1020*X-2268*X^2-2496*X^3+48*X^4, 84912+252608*X+347264*X^2+114688*X^3-81920*X^4, -6926848-13962240*X-11120640*X^2+14843904*X^3+3112960*X^4, 155938816+68894720*X-171048960*X^2-1059586048*X^3+164233216*X^4, -6062997504-7282622464*X-5929172992*X^2+8271167488*X^3-16133390336*X^4, 859616313344+1699158687744*X+1580598296576*X^2+797655957504*X^3+460769460224*X^4, -18678527557632-21786825588736*X-10930960203776*X^2-4434553733120*X^3-1795296329728*X^4, -1550645597306880-3241704949809152*X-2663060112146432*X^2-1053847535484928*X^3-189231964094464*X^4, 71654726105563136+114686347041570816*X+76059146348134400*X^2+25439125653946368*X^3+3793246396350464*X^4, -282477662595710976-143652843436376064*X+27184875240947712*X^2+13695516835577856*X^3-1899956092796928*X^4, -30436725960071970816-43337259604884062208*X-23836532480881459200*X^2-5926174159666151424*X^3-555631604026834944*X^4, 488763704872009728000+579349811464381661184*X+264332024729070206976*X^2+55448318612185546752*X^3+4539628424389459968*X^4, -40532396646334464*(4*X+15)^2*(4*X+13)^2]", "text": "This is operator \"13.12\" from ...", "degz": 13, "h3": null, "sol": "1 68/3 1036/3 44464/27 -8491132/81 -375713680/81 -77951356112/729 -2216528518336/2187 2961040408196/81 44594081081086096/19683", "n_discr_factors": "5", "c3": null, "operator": "4 13 0 0 0 0 9 -204 -1020 -2268 -2496 48 84912 252608 347264 114688 -81920 -6926848 -13962240 -11120640 14843904 3112960 155938816 68894720 -171048960 -1059586048 164233216 -6062997504 -7282622464 -5929172992 8271167488 -16133390336 859616313344 1699158687744 1580598296576 797655957504 460769460224 -18678527557632 -21786825588736 -10930960203776 -4434553733120 -1795296329728 -1550645597306880 -3241704949809152 -2663060112146432 -1053847535484928 -189231964094464 71654726105563136 114686347041570816 76059146348134400 25439125653946368 3793246396350464 -282477662595710976 -143652843436376064 27184875240947712 13695516835577856 -1899956092796928 -30436725960071970816 -43337259604884062208 -23836532480881459200 -5926174159666151424 -555631604026834944 488763704872009728000 579349811464381661184 264332024729070206976 55448318612185546752 4539628424389459968 -1541244382476867993600 -1770455085511889387520 -761360538604746571776 -145268109580462718976 -10376293541461622784", "new_number": "13.12", "id": 364, "operator_tex": "3^{2} \\theta^4+2^{2} 3 x\\left(4\\theta^4-208\\theta^3-189\\theta^2-85\\theta-17\\right)-2^{4} x^{2}\\left(5120\\theta^4-7168\\theta^3-21704\\theta^2-15788\\theta-5307\\right)+2^{9} x^{3}\\left(6080\\theta^4+28992\\theta^3-21720\\theta^2-27270\\theta-13529\\right)+2^{12} x^{4}\\left(40096\\theta^4-258688\\theta^3-41760\\theta^2+16820\\theta+38071\\right)-2^{17} x^{5}\\left(123088\\theta^4-63104\\theta^3+45236\\theta^2+55562\\theta+46257\\right)+2^{21} x^{6}\\left(219712\\theta^4+380352\\theta^3+753688\\theta^2+810222\\theta+409897\\right)-2^{24} x^{7}\\left(107008\\theta^4+264320\\theta^3+651536\\theta^2+1298596\\theta+1113327\\right)-2^{28} x^{8}\\left(704944\\theta^4+3925888\\theta^3+9920672\\theta^2+12076292\\theta+5776605\\right)+2^{34} x^{9}\\left(220796\\theta^4+1480752\\theta^3+4427225\\theta^2+6675624\\theta+4170854\\right)-2^{36} 3 x^{10}\\left(9216\\theta^4-66432\\theta^3-131864\\theta^2+696808\\theta+1370197\\right)-2^{40} 3 x^{11}\\left(168448\\theta^4+1796608\\theta^3+7226400\\theta^2+13138336\\theta+9227347\\right)+2^{47} 3^{2} x^{12}\\left(3584\\theta^4+43776\\theta^3+208688\\theta^2+457392\\theta+385875\\right)-2^{52} 3^{2} x^{13}(4\\theta+15)^2(4\\theta+13)^2", "superseek": "76/3 746444/81", "discriminant": "13 9 48 -81920 3112960 164233216 -16133390336 460769460224 -1795296329728 -189231964094464 3793246396350464 -1899956092796928 -555631604026834944 4539628424389459968 -10376293541461622784", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "fec1670f7378fb309308803574ce2a00", "dim_h": null, "inst": " 76/3 -3641/9 746444/81 -69221068/243 7315935712/729 -94673347033/243 317597920839140/19683 -41437793786849908/59049 285131504387648/9 -7047375603656400689528/4782969", "cleanlist": "True", "n_sing_real": "6", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "8", "laurent": null, "discriminant_tex": "-(-1+16z)(16z-3)^2(16z+1)^2(3072z^2-48z-1)^2(1024z^2-48z+1)^2", "discr_factors": "-10376293541461622784, (z-3/16)^2, (z+1/16)^2, (z^2-3/64*z+1/1024)^2, -1/16+z, (z^2-1/64*z-1/3072)^2", "dm_basis": null, "q": "0 1 -68/3 2314/3 -2244592/81 275896975/243 -149313016/3 15139831370450/6561 -2187651932261440/19683 5511977350786", "yuk": "1 76/3 -28900/9 248840 -4430928652/243 914491982468/729 -84153840648 108936086848323656/19683 -21216151495582815332/59049 23095651855648328", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/16","im":"0","approx_re":"-0.0625","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/128-1/384*57^(1/2)","im":"0","approx_re":"-0.011849","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":"3/128","im":"-1/128*7^(1/2)","approx_re":"0.0234375","approx_im":"-0.02067","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"3/128","im":"1/128*7^(1/2)","approx_re":"0.0234375","approx_im":"0.02067","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/128+1/384*57^(1/2)","im":"0","approx_re":"0.027474","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/16","im":"0","approx_re":"0.0625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"3/16","im":"0","approx_re":"0.1875","approx_im":"0.0","exponents":["0","1","-2","3"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["13/4","13/4","15/4","15/4"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -88-352*X-560*X^2-416*X^3-592*X^4, 71488+207616*X+240000*X^2+148480*X^3+124672*X^4, -4145152-24778752*X-36247552*X^2-19881984*X^3-11259904*X^4, -544288768-8519680*X+1299316736*X^2+997195776*X^3+369426432*X^4, 76156174336+132991942656*X+76594282496*X^2+11251220480*X^3+2295332864*X^4, -2967565500416-5359565537280*X-4076066570240*X^2-1603566305280*X^3-261305139200*X^4, 7421384720384+22344701575168*X+18091610210304*X^2+4998805061632*X^3+104421392384*X^4, 1242406800326656+2098478071152640*X+1342980438884352*X^2+389605073354752*X^3+42356967473152*X^4, -1221540238589952+622186142367744*X+2078076976496640*X^2+1068725302198272*X^3+164651866259456*X^4, 245715285162590208+231851817925869568*X+80160994734637056*X^2+12367306789224448*X^3+787250325487616*X^4, -8659168640177799168-8954317143491477504*X-3432833631591071744*X^2-577445914721910784*X^3-35958428274786304*X^4, -58849240018292047872-64872100832458309632*X-26579119100833824768*X^2-4782822804267466752*X^3-317503773729619968*X^4, -40532396646334464*(2*X+7)^4]", "text": "This is operator \"13.13\" from ...", "degz": 13, "h3": null, "sol": "1 88 6576 475776 37804816 3738209664 484854506240 77418965035008 13896778295618832 2652477226781113728", "n_discr_factors": "5", "c3": null, "operator": "4 13 0 0 0 0 1 -88 -352 -560 -416 -592 71488 207616 240000 148480 124672 -4145152 -24778752 -36247552 -19881984 -11259904 -544288768 -8519680 1299316736 997195776 369426432 76156174336 132991942656 76594282496 11251220480 2295332864 -2967565500416 -5359565537280 -4076066570240 -1603566305280 -261305139200 7421384720384 22344701575168 18091610210304 4998805061632 104421392384 1242406800326656 2098478071152640 1342980438884352 389605073354752 42356967473152 -1221540238589952 622186142367744 2078076976496640 1068725302198272 164651866259456 245715285162590208 231851817925869568 80160994734637056 12367306789224448 787250325487616 -8659168640177799168 -8954317143491477504 -3432833631591071744 -577445914721910784 -35958428274786304 -58849240018292047872 -64872100832458309632 -26579119100833824768 -4782822804267466752 -317503773729619968 -97318284347849048064 -111220896397541769216 -47666098456089329664 -9079256848778919936 -648518346341351424", "new_number": "13.13", "id": 365, "operator_tex": "\\theta^4-2^{3} x\\left(74\\theta^4+52\\theta^3+70\\theta^2+44\\theta+11\\right)+2^{6} x^{2}\\left(1948\\theta^4+2320\\theta^3+3750\\theta^2+3244\\theta+1117\\right)-2^{11} x^{3}\\left(5498\\theta^4+9708\\theta^3+17699\\theta^2+12099\\theta+2024\\right)+2^{12} x^{4}\\left(90192\\theta^4+243456\\theta^3+317216\\theta^2-2080\\theta-132883\\right)+2^{16} x^{5}\\left(35024\\theta^4+171680\\theta^3+1168736\\theta^2+2029296\\theta+1162051\\right)-2^{20} x^{6}\\left(249200\\theta^4+1529280\\theta^3+3887240\\theta^2+5111280\\theta+2830091\\right)+2^{24} x^{7}\\left(6224\\theta^4+297952\\theta^3+1078344\\theta^2+1331848\\theta+442349\\right)+2^{29} x^{8}\\left(78896\\theta^4+725696\\theta^3+2501496\\theta^2+3908720\\theta+2314163\\right)+2^{34} x^{9}\\left(9584\\theta^4+62208\\theta^3+120960\\theta^2+36216\\theta-71103\\right)+2^{38} x^{10}\\left(2864\\theta^4+44992\\theta^3+291624\\theta^2+843472\\theta+893907\\right)-2^{42} x^{11}\\left(8176\\theta^4+131296\\theta^3+780536\\theta^2+2035976\\theta+1968867\\right)-2^{47} 3 x^{12}\\left(752\\theta^4+11328\\theta^3+62952\\theta^2+153648\\theta+139383\\right)-2^{52} 3^{2} x^{13}\\left((2\\theta+7)^4\\right)", "superseek": "32 74144", "discriminant": "13 1 -592 124672 -11259904 369426432 2295332864 -261305139200 104421392384 42356967473152 164651866259456 787250325487616 -35958428274786304 -317503773729619968 -648518346341351424", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "e20067c633b6371dc19f760a1140f0e4", "dim_h": null, "inst": " 32 1048 74144 7046865 788076384 98346034360 13319538930464 1922602998244371 291905288193737472 46157908383075915656", "cleanlist": "True", "n_sing_real": "8", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "10", "laurent": null, "discriminant_tex": "-(16z-1)(262144z^4-8192z^3+2304z^2-256z+1)(48z-1)^2(16z+1)^2(512z^2+128z-1)^2", "discr_factors": "-648518346341351424, (z^2+1/4*z-1/512)^2, (z-1/48)^2, z^4-1/32*z^3+9/1024*z^2-1/1024*z+1/262144, (z+1/16)^2, z-1/16", "dm_basis": null, "q": "0 1 0 -1856 -251904 -29487952 -3505549312 -451969196032 -64581129469952 -10105208957717352", "yuk": "1 32 8416 2001920 451007776 98509548032 21242745432064 4568601853149184 984372735552125728 212798955093236619008", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/8-3/32*2^(1/2)","im":"0","approx_re":"-0.257583","approx_im":"0.0","exponents":["0","1","3","4"],"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":"1/16*RootOf(4*_Z^4-2*_Z^3+9*_Z^2-16*_Z+1,index = 3)","im":"0","approx_re":"-0.024399","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/16*RootOf(4*_Z^4-2*_Z^3+9*_Z^2-16*_Z+1,index = 4)","im":"0","approx_re":"-0.024399","approx_im":"0.0","exponents":["0","1","1","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":"1/16*RootOf(4*_Z^4-2*_Z^3+9*_Z^2-16*_Z+1,index = 1)","im":"0","approx_re":"0.004052","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/8+3/32*2^(1/2)","im":"0","approx_re":"0.007583","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/48","im":"0","approx_re":"0.0208333333333","approx_im":"0.0","exponents":["0","1","-2","3"],"monodromy":[],"monodromy_dm":[]},{"re":"1/16","im":"0","approx_re":"0.0625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/16*RootOf(4*_Z^4-2*_Z^3+9*_Z^2-16*_Z+1,index = 2)","im":"0","approx_re":"0.075996","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":["7/2","7/2","7/2","7/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[9*X^4, -48-240*X+564*X^4-600*X^3-540*X^2, 2864*X^2-16832*X^3+2112+4832*X+8176*X^4, 39168*X^3-119168-284928*X-22912*X^4-237696*X^2, -11020800*X^2-10753024*X-3515648-4605952*X^3-613376*X^4, -118550528*X-533504-96985088*X^3-20197376*X^4-174219264*X^2, -6373376*X^4+1630912512*X^2+2918510592+3753738240*X+215875584*X^3, 2041446400*X^4+70747422720*X+50348032000*X^2+16052387840*X^3+35938271232, -127163432960*X^2-383335268352*X-2295332864*X^4-20883439616*X^3-411011645440, -4584118419456*X-3594808983552-2301645291520*X^2-47286583296*X^4-534371106816*X^3, 2257005314048*X^3+19639522295808+184482267136*X^4+10732989054976*X^2+23418711834624*X, -16450798485504*X^2-30675763724288-3349000749056*X^3-36484136566784*X-261456134144*X^4, 10657961345024*X^2+20593562877952+24107651432448*X+158913789952*X^4+2113123909632*X^3, -2147483648*(2*X+7)^4]", "text": "This is operator \"13.14\" from ...", "degz": 13, "h3": null, "sol": "1 16/3 52/3 3200/27 129668/81 125632/81 -25024880/729 1935341056/2187 540211076/81 -1984641992128/19683", "n_discr_factors": "5", "c3": null, "operator": "4 13 0 0 0 0 9 -48 -240 -540 -600 564 2112 4832 2864 -16832 8176 -119168 -284928 -237696 39168 -22912 -3515648 -10753024 -11020800 -4605952 -613376 -533504 -118550528 -174219264 -96985088 -20197376 2918510592 3753738240 1630912512 215875584 -6373376 35938271232 70747422720 50348032000 16052387840 2041446400 -411011645440 -383335268352 -127163432960 -20883439616 -2295332864 -3594808983552 -4584118419456 -2301645291520 -534371106816 -47286583296 19639522295808 23418711834624 10732989054976 2257005314048 184482267136 -30675763724288 -36484136566784 -16450798485504 -3349000749056 -261456134144 20593562877952 24107651432448 10657961345024 2113123909632 158913789952 -5156108238848 -5892695130112 -2525440770048 -481036337152 -34359738368", "new_number": "13.14", "id": 366, "operator_tex": "3^{2} \\theta^4+2^{2} 3 x\\left(47\\theta^4-50\\theta^3-45\\theta^2-20\\theta-4\\right)+2^{4} x^{2}\\left(511\\theta^4-1052\\theta^3+179\\theta^2+302\\theta+132\\right)-2^{7} x^{3}\\left(179\\theta^4-306\\theta^3+1857\\theta^2+2226\\theta+931\\right)-2^{8} x^{4}\\left(2396\\theta^4+17992\\theta^3+43050\\theta^2+42004\\theta+13733\\right)-2^{10} x^{5}\\left(19724\\theta^4+94712\\theta^3+170136\\theta^2+115772\\theta+521\\right)-2^{12} x^{6}\\left(1556\\theta^4-52704\\theta^3-398172\\theta^2-916440\\theta-712527\\right)+2^{15} x^{7}\\left(62300\\theta^4+489880\\theta^3+1536500\\theta^2+2159040\\theta+1096749\\right)-2^{18} x^{8}\\left(8756\\theta^4+79664\\theta^3+485090\\theta^2+1462308\\theta+1567885\\right)-2^{20} x^{9}\\left(45096\\theta^4+509616\\theta^3+2195020\\theta^2+4371756\\theta+3428277\\right)+2^{22} x^{10}\\left(43984\\theta^4+538112\\theta^3+2558944\\theta^2+5583456\\theta+4682427\\right)-2^{25} x^{11}\\left(7792\\theta^4+99808\\theta^3+490272\\theta^2+1087312\\theta+914209\\right)+2^{28} x^{12}\\left(592\\theta^4+7872\\theta^3+39704\\theta^2+89808\\theta+76717\\right)-2^{31} x^{13}\\left((2\\theta+7)^4\\right)", "superseek": "20/3 36340/81", "discriminant": "13 9 564 8176 -22912 -613376 -20197376 -6373376 2041446400 -2295332864 -47286583296 184482267136 -261456134144 158913789952 -34359738368", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "4b391bfc7d7d7a60edd430907aff9fae", "dim_h": null, "inst": " 20/3 -410/9 36340/81 -5386783/972 57719264/729 -302657854/243 412478160028/19683 -87431803318969/236196 183190870304/27 -612513702217877768/4782969", "cleanlist": "True", "n_sing_real": "8", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "10", "laurent": null, "discriminant_tex": "-(8z-1)(1024z^4-2048z^3+144z^2-4z+1)(8z-3)^2(8z+1)^2(32z^2-32z-1)^2", "discr_factors": "-34359738368, (z-3/8)^2, (z+1/8)^2, z^4-2*z^3+9/64*z^2-1/256*z+1/1024, (z^2-z-1/32)^2, z-1/8", "dm_basis": null, "q": "0 1 -16/3 226/3 -102752/81 5160319/243 -382048 47496722090/6561 -2801165310080/19683 8629012022/3", "yuk": "1 20/3 -3220/9 12120 -86275468/243 7214912860/729 -269017448 141480009020824/19683 -11191291789766756/59049 4946153510328", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/8","im":"0","approx_re":"-0.125","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":"1/4*RootOf(4*_Z^4-32*_Z^3+9*_Z^2-_Z+1,index = 4)","im":"0","approx_re":"-0.015388","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/4*RootOf(4*_Z^4-32*_Z^3+9*_Z^2-_Z+1,index = 3)","im":"0","approx_re":"-0.015388","approx_im":"0.0","exponents":["0","1","1","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":"1/4*RootOf(4*_Z^4-32*_Z^3+9*_Z^2-_Z+1,index = 1)","im":"0","approx_re":"0.102801","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":"3/8","im":"0","approx_re":"0.375","approx_im":"0.0","exponents":["0","1","-2","3"],"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":"1/4*RootOf(4*_Z^4-32*_Z^3+9*_Z^2-_Z+1,index = 2)","im":"0","approx_re":"1.927975","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":["7/2","7/2","7/2","7/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -32*X^4-100*X^3-78*X^2-28*X-4, -248-856*X-876*X^4-1340*X^2-1560*X^3, -9312-17088*X^3-42560*X^2-32352*X-1840*X^4, 7808*X^4-50432*X^3+9664*X^2-58432*X-44544, 635136+1958400*X-232704*X^4+2269440*X^2+1142784*X^3, 10905600-2193408*X^3+17694720*X^2+25555968*X-113664*X^4, -2482176*X^4-2015232*X^3-2506752*X^2+41263104*X+32489472, -61734912-142245888*X+4718592*X^4-45318144*X^2+93192192*X^3, -249298944+575668224*X^3+802553856*X^2+58982400*X-11665408*X^4, -126877696*X^4+557842432*X^3+3221225472*X^2+3876585472*X+1413480448, 41943040*(X+1)*(21*X^3+63*X^2+206*X+218), 838860800*(X+2)*(X+1)*(2*X^2-12*X-27), 16777216000*(X+1)*(X+2)^2*(X+3)]", "text": "This is operator \"13.15\" from ...", "degz": 13, "h3": null, "sol": "1 4 76 1936 57820 1922224 68529616 2567560384 99833328604 3995000055280", "n_discr_factors": "5", "c3": null, "operator": "4 13 0 0 0 0 1 -4 -28 -78 -100 -32 -248 -856 -1340 -1560 -876 -9312 -32352 -42560 -17088 -1840 -44544 -58432 9664 -50432 7808 635136 1958400 2269440 1142784 -232704 10905600 25555968 17694720 -2193408 -113664 32489472 41263104 -2506752 -2015232 -2482176 -61734912 -142245888 -45318144 93192192 4718592 -249298944 58982400 802553856 575668224 -11665408 1413480448 3876585472 3221225472 557842432 -126877696 9143582720 17783848960 11282677760 3523215360 880803840 -45298483200 -88080384000 -49492787200 -5033164800 1677721600 201326592000 469762048000 385875968000 134217728000 16777216000", "new_number": "13.15", "id": 367, "operator_tex": "\\theta^4-2 x\\left(16\\theta^4+50\\theta^3+39\\theta^2+14\\theta+2\\right)-2^{2} x^{2}\\left(219\\theta^4+390\\theta^3+335\\theta^2+214\\theta+62\\right)-2^{4} x^{3}\\left(115\\theta^4+1068\\theta^3+2660\\theta^2+2022\\theta+582\\right)+2^{6} x^{4}\\left(122\\theta^4-788\\theta^3+151\\theta^2-913\\theta-696\\right)-2^{8} 3 x^{5}\\left(303\\theta^4-1488\\theta^3-2955\\theta^2-2550\\theta-827\\right)-2^{10} 3 x^{6}\\left(37\\theta^4+714\\theta^3-5760\\theta^2-8319\\theta-3550\\right)-2^{13} 3 x^{7}\\left(101\\theta^4+82\\theta^3+102\\theta^2-1679\\theta-1322\\right)+2^{15} 3 x^{8}\\left(48\\theta^4+948\\theta^3-461\\theta^2-1447\\theta-628\\right)-2^{17} x^{9}\\left(89\\theta^4-4392\\theta^3-6123\\theta^2-450\\theta+1902\\right)-2^{20} x^{10}\\left(121\\theta^4-532\\theta^3-3072\\theta^2-3697\\theta-1348\\right)+2^{23} 5 x^{11}(\\theta+1)(21\\theta^3+63\\theta^2+206\\theta+218)+2^{25} 5^{2} x^{12}(\\theta+2)(\\theta+1)(2\\theta^2-12\\theta-27)+2^{27} 5^{3} x^{13}(\\theta+1)(\\theta+2)^2(\\theta+3)", "superseek": "6 626/3", "discriminant": "13 1 -32 -876 -1840 7808 -232704 -113664 -2482176 4718592 -11665408 -126877696 880803840 1677721600 16777216000", "aesz": null, "n_sing_complex": "6", "inst_int": "", "c2h": null, "hash": "3e24fdfe8119ac950ce846460f109e44", "dim_h": null, "inst": " 6 41/4 626/3 12349/8 33062 5728907/12 9908166 1526186815/8 4159057094 364170185561/4", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "11", "laurent": null, "discriminant_tex": "(4z-1)(4z+1)(16z^2+4z+1)(640z^3+96z^2+48z-1)(1+6z-48z^2+320z^3)^2", "discr_factors": "16777216000, z^3+3/20*z^2+3/40*z-1/640, z+1/4, (1/320+3/160*z-3/20*z^2+z^3)^2, z-1/4, z^2+1/4*z+1/16", "dm_basis": null, "q": "0 1 -12 28 -352 622 -97680 -716520 -31206656 -560990939", "yuk": "1 6 88 5640 98880 4132756 103126048 3398500944 97676055040 3031952627166", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/4","im":"0","approx_re":"-0.25","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/8","im":"-1/8*3^(1/2)","approx_re":"-0.125","approx_im":"-0.216506","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/8","im":"1/8*3^(1/2)","approx_re":"-0.125","approx_im":"0.216506","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-3/40*2^(1/3)+3/80*2^(2/3)-1/20","im":"-1/8*3^(1/2)*(3/5*2^(1/3)+3/10*2^(2/3))","approx_re":"-0.084967","approx_im":"-0.266773","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-3/40*2^(1/3)+3/80*2^(2/3)-1/20","im":"1/8*3^(1/2)*(3/5*2^(1/3)+3/10*2^(2/3))","approx_re":"-0.084967","approx_im":"0.266773","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/40*(122+10*151^(1/2))^(1/3)+3/20/(122+10*151^(1/2))^(1/3)+1/20","im":"0","approx_re":"-0.082432","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":"3/20*2^(1/3)-3/40*2^(2/3)-1/20","im":"0","approx_re":"0.019933","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/80*(122+10*151^(1/2))^(1/3)-3/40/(122+10*151^(1/2))^(1/3)+1/20","im":"1/4*3^(1/2)*(-1/20*(122+10*151^(1/2))^(1/3)-3/10/(122+10*151^(1/2))^(1/3))","approx_re":"0.116216","approx_im":"-0.156217","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/80*(122+10*151^(1/2))^(1/3)-3/40/(122+10*151^(1/2))^(1/3)+1/20","im":"-1/4*3^(1/2)*(-1/20*(122+10*151^(1/2))^(1/3)-3/10/(122+10*151^(1/2))^(1/3))","approx_re":"0.116216","approx_im":"0.156217","exponents":["0","1","3","4"],"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":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","2","2","3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -106*X^4-140*X^3-125*X^2-55*X-10, 2472+4265*X^4+12596*X^3+15925*X^2+9718*X, -195296-467544*X^3-74768*X^4-840944*X^2-642984*X, 83856*X^4+8318688*X^3+23431824*X^2+22106112*X+7771200, -176547456+20897472*X^4-38021568*X^3-352505664*X^2-431668032*X, 2270502912-1313616384*X^3-391995648*X^4+2036996352*X^2+4467165696*X, 2628943872*X^4+28598661120*X^3+19941605376*X^2-10287378432*X-12628795392, -50065072128+14254089216*X^4-235057170432*X^3-431131579392*X^2-284714698752*X, 967588577280+175444328448*X^3-463201460224*X^4+2064314425344*X^2+2573642760192*X, 4632867045376*X^4+14014241964032*X^3+16620846841856*X^2+7969362608128*X+989774086144, -38273024*(X+1)*(680053*X^3+2794143*X^2+4238129*X+2311527), 22351446016*(X+2)*(X+1)*(3707*X^2+13713*X+13693), -117479200260096*(X+1)*(X+2)^2*(X+3)]", "text": "This is operator \"13.16\" from ...", "degz": 13, "h3": null, "sol": "1 10 118 1864 38566 940420 25106320 709108480 20845048870 631743322060", "n_discr_factors": "5", "c3": null, "operator": "4 13 0 0 0 0 1 -10 -55 -125 -140 -106 2472 9718 15925 12596 4265 -195296 -642984 -840944 -467544 -74768 7771200 22106112 23431824 8318688 83856 -176547456 -431668032 -352505664 -38021568 20897472 2270502912 4467165696 2036996352 -1313616384 -391995648 -12628795392 -10287378432 19941605376 28598661120 2628943872 -50065072128 -284714698752 -431131579392 -235057170432 14254089216 967588577280 2573642760192 2064314425344 175444328448 -463201460224 989774086144 7969362608128 16620846841856 14014241964032 4632867045376 -88469128347648 -250675141279744 -269146315030528 -132967986888704 -26027684790272 612116700594176 1531185809326080 1391288108711936 555075810361344 82856810381312 -1409750403121152 -3289417607282688 -2702021605982208 -939833602080768 -117479200260096", "new_number": "13.16", "id": 368, "operator_tex": "\\theta^4-x\\left(106\\theta^4+140\\theta^3+125\\theta^2+55\\theta+10\\right)+x^{2}\\left(2472+4265\\theta^4+12596\\theta^3+15925\\theta^2+9718\\theta\\right)-2^{3} x^{3}\\left(9346\\theta^4+58443\\theta^3+105118\\theta^2+80373\\theta+24412\\right)+2^{4} 3 x^{4}\\left(1747\\theta^4+173306\\theta^3+488163\\theta^2+460544\\theta+161900\\right)+2^{6} 3 x^{5}\\left(108841\\theta^4-198029\\theta^3-1835967\\theta^2-2248271\\theta-919518\\right)-2^{8} 3 x^{6}\\left(510411\\theta^4+1710438\\theta^3-2652339\\theta^2-5816622\\theta-2956384\\right)+2^{12} 3 x^{7}\\left(213944\\theta^4+2327365\\theta^3+1622852\\theta^2-837189\\theta-1027734\\right)+2^{10} 3 x^{8}\\left(4640003\\theta^4-76516006\\theta^3-140342311\\theta^2-92680566\\theta-16297224\\right)-2^{13} x^{9}\\left(56543147\\theta^4-21416544\\theta^3-251991507\\theta^2-314165376\\theta-118113840\\right)+2^{16} x^{10}\\left(70691941\\theta^4+213840362\\theta^3+253613996\\theta^2+121602823\\theta+15102754\\right)-2^{19} 73 x^{11}(\\theta+1)(680053\\theta^3+2794143\\theta^2+4238129\\theta+2311527)+2^{22} 73^{2} x^{12}(\\theta+2)(\\theta+1)(3707\\theta^2+13713\\theta+13693)-2^{25} 3^{2} 73^{3} x^{13}(\\theta+1)(\\theta+2)^2(\\theta+3)", "superseek": "5 581/3", "discriminant": "13 1 -106 4265 -74768 83856 20897472 -391995648 2628943872 14254089216 -463201460224 4632867045376 -26027684790272 82856810381312 -117479200260096", "aesz": null, "n_sing_complex": "6", "inst_int": "", "c2h": null, "hash": "2ab5512d2cfda3cde6ee0ea98a12d6fb", "dim_h": null, "inst": " 5 -53/4 581/3 -1231 19810 -733571/4 3135120 -34295069 612366711 -14786470665/2", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "11", "laurent": null, "discriminant_tex": "-(9z-1)(8z-1)(4672z^3-840z^2+57z-1)(64z^2-8z+1)(1-12z-192z^2+2336z^3)^2", "discr_factors": "-117479200260096, z^2-1/8*z+1/64, z-1/9, (1/2336-3/584*z-6/73*z^2+z^3)^2, z-1/8, z^3-105/584*z^2+57/4672*z-1/4672", "dm_basis": null, "q": "0 1 -15 204 -3329 53781 -910080 15391345 -266886135 4620961179", "yuk": "1 5 -101 5234 -78885 2476255 -39607706 1075346165 -17559154213 446415337553", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-7/292*10^(1/3)-3/292*10^(2/3)+2/73","im":"0","approx_re":"-0.071938","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":"-9/292*3^(1/3)+3/584*3^(2/3)+35/584","im":"0","approx_re":"0.026164","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/16","im":"-1/16*3^(1/2)","approx_re":"0.0625","approx_im":"-0.108253","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/16","im":"1/16*3^(1/2)","approx_re":"0.0625","approx_im":"0.108253","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"9/584*3^(1/3)-3/1168*3^(2/3)+35/584","im":"1/2*3^(1/2)*(-9/292*3^(1/3)-3/584*3^(2/3))","approx_re":"0.076815","approx_im":"-0.047751","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"9/584*3^(1/3)-3/1168*3^(2/3)+35/584","im":"-1/2*3^(1/2)*(-9/292*3^(1/3)-3/584*3^(2/3))","approx_re":"0.076815","approx_im":"0.047751","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"7/584*10^(1/3)+3/584*10^(2/3)+2/73","im":"1/4*3^(1/2)*(-7/146*10^(1/3)+3/146*10^(2/3))","approx_re":"0.077065","approx_im":"-0.003429","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"7/584*10^(1/3)+3/584*10^(2/3)+2/73","im":"-1/4*3^(1/2)*(-7/146*10^(1/3)+3/146*10^(2/3))","approx_re":"0.077065","approx_im":"0.003429","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/9","im":"0","approx_re":"0.111111111111","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":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","2","2","3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -3072*X^4-5632*X^3-6272*X^2-3456*X-784, 5373952*X^4+11927552*X^3+21823488*X^2+20348928*X+7278592, -6996099072*X^4-15435038720*X^3-25694306304*X^2-29444014080*X-13147045888, 6979321856000*X^4+16492674416640*X^3+24829205938176*X^2+21264383082496*X+8229962645504, -5455776697024512*X^4-13521793998389248*X^3-23943514962264064*X^2-16901142986358784*X-4160826877411328, 3410350817826308096*X^4+8879409615314354176*X^3+17519565500424650752*X^2+14384637947309719552*X+4272156827770159104, -1668925935512448925696*X^4-5067666473499395883008*X^3-9953135320473890979840*X^2-9330737851971288432640*X-3496202937522871861248, 608594980479825526915072*X^4+2347901585701751729684480*X^3+4756972574751924332527616*X^2+4828914876639391583830016*X+2016063106559790605664256, -157349251209216578520350720*X^4-777868207058287959600005120*X^3-1755416958478235997415931904*X^2-1954020803281801796523130880*X-882527654234886471648542720, 27505480247872042982914916352*X^4+169288300372275752592455237632*X^3+437843917644747935978383998976*X^2+542314451272565730739792904192*X+266575396779943420797760045056, -3055236016956318518451038584832*X^4-22639447438451034467355183808512*X^3-66915610883531945379397260804096*X^2-92068076601732301804797666787328*X-49245564247782248680555886411776, 192682891234690869027498887217152*X^4+1673298792301262809975648231096320*X^3+5592874448206948119403454542118912*X^2+8490723720328680531224918069608448*X+4920385804785872421909453491666944, -324518553658426726783156020576256*(2*X+5)^4]", "text": "This is operator \"13.2\" from ...", "degz": 13, "h3": null, "sol": "1 784 486672 279216384 154637278480 84104418128128 45287388189122816 24247515487328931840 12941812444649337986320 6897257090155353175236864", "n_discr_factors": "4", "c3": null, "operator": "4 13 0 0 0 0 1 -784 -3456 -6272 -5632 -3072 7278592 20348928 21823488 11927552 5373952 -13147045888 -29444014080 -25694306304 -15435038720 -6996099072 8229962645504 21264383082496 24829205938176 16492674416640 6979321856000 -4160826877411328 -16901142986358784 -23943514962264064 -13521793998389248 -5455776697024512 4272156827770159104 14384637947309719552 17519565500424650752 8879409615314354176 3410350817826308096 -3496202937522871861248 -9330737851971288432640 -9953135320473890979840 -5067666473499395883008 -1668925935512448925696 2016063106559790605664256 4828914876639391583830016 4756972574751924332527616 2347901585701751729684480 608594980479825526915072 -882527654234886471648542720 -1954020803281801796523130880 -1755416958478235997415931904 -777868207058287959600005120 -157349251209216578520350720 266575396779943420797760045056 542314451272565730739792904192 437843917644747935978383998976 169288300372275752592455237632 27505480247872042982914916352 -49245564247782248680555886411776 -92068076601732301804797666787328 -66915610883531945379397260804096 -22639447438451034467355183808512 -3055236016956318518451038584832 4920385804785872421909453491666944 8490723720328680531224918069608448 5592874448206948119403454542118912 1673298792301262809975648231096320 192682891234690869027498887217152 -202824096036516704239472512860160000 -324518553658426726783156020576256000 -194711132195056036069893612345753600 -51922968585348276285304963292200960 -5192296858534827628530496329220096", "new_number": "13.2", "id": 370, "operator_tex": "\\theta^4-2^{4} x\\left(192\\theta^4+352\\theta^3+392\\theta^2+216\\theta+49\\right)+2^{12} x^{2}\\left(1312\\theta^4+2912\\theta^3+5328\\theta^2+4968\\theta+1777\\right)-2^{21} x^{3}\\left(3336\\theta^4+7360\\theta^3+12252\\theta^2+14040\\theta+6269\\right)+2^{28} x^{4}\\left(26000\\theta^4+61440\\theta^3+92496\\theta^2+79216\\theta+30659\\right)-2^{38} x^{5}\\left(19848\\theta^4+49192\\theta^3+87106\\theta^2+61486\\theta+15137\\right)+2^{46} x^{6}\\left(48464\\theta^4+126184\\theta^3+248968\\theta^2+204418\\theta+60711\\right)-2^{52} x^{7}\\left(370576\\theta^4+1125248\\theta^3+2210040\\theta^2+2071840\\theta+776313\\right)+2^{64} x^{8}\\left(32992\\theta^4+127280\\theta^3+257876\\theta^2+261776\\theta+109291\\right)-2^{71} x^{9}\\left(66640\\theta^4+329440\\theta^3+743448\\theta^2+827560\\theta+373765\\right)+2^{81} x^{10}\\left(11376\\theta^4+70016\\theta^3+181088\\theta^2+224296\\theta+110253\\right)-2^{88} x^{11}\\left(9872\\theta^4+73152\\theta^3+216216\\theta^2+297488\\theta+159121\\right)+2^{99} x^{12}\\left(304\\theta^4+2640\\theta^3+8824\\theta^2+13396\\theta+7763\\right)-2^{108} x^{13}\\left((2\\theta+5)^4\\right)", "superseek": "288 -8252768", "discriminant": "13 1 -3072 5373952 -6996099072 6979321856000 -5455776697024512 3410350817826308096 -1668925935512448925696 608594980479825526915072 -157349251209216578520350720 27505480247872042982914916352 -3055236016956318518451038584832 192682891234690869027498887217152 -5192296858534827628530496329220096", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "ad47c122958add1c452a9858793ef177", "dim_h": null, "inst": " 288 59200 -8252768 -1223488576 585571467872 7905205372480 -47910168596100064 6257751239427259328 3753960547531267469056 -1241265050509255966110784", "cleanlist": "True", "n_sing_real": "6", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "8", "laurent": null, "discriminant_tex": "-(1-768z+65536z^2)(512z-1)^2(134217728z^3-655360z^2+256z-1)^2(256z-1)^3", "discr_factors": "-5192296858534827628530496329220096, (z-1/512)^2, (z^3-5/1024*z^2+1/524288*z-1/134217728)^2, (z-1/256)^3, 1/65536-3/256*z+z^2", "dm_basis": null, "q": "0 1 -320 51296 3893248 -3585597904 128640522240 345118236566016 -68798552075272192 -30088208380065850728", "yuk": "1 288 473888 -222824448 -78302794976 73196433484288 1707524138104832 -16433187828462321664 3203968634508453980960 2736637239150293762117376", "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":"-1/6144*(188+3*3165^(1/2))^(1/3)-19/6144/(188+3*3165^(1/2))^(1/3)+5/3072","im":"-1/512*3^(1/2)*(1/12*(188+3*3165^(1/2))^(1/3)-19/12/(188+3*3165^(1/2))^(1/3))","approx_re":"3.7e-05","approx_im":"-0.001244","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/6144*(188+3*3165^(1/2))^(1/3)-19/6144/(188+3*3165^(1/2))^(1/3)+5/3072","im":"1/512*3^(1/2)*(1/12*(188+3*3165^(1/2))^(1/3)-19/12/(188+3*3165^(1/2))^(1/3))","approx_re":"3.7e-05","approx_im":"0.001244","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"3/512-1/512*5^(1/2)","im":"0","approx_re":"0.001492","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/512","im":"0","approx_re":"0.001953125","approx_im":"0.0","exponents":["0","0","-1","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/256","im":"0","approx_re":"0.00390625","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/3072*(188+3*3165^(1/2))^(1/3)+19/3072/(188+3*3165^(1/2))^(1/3)+5/3072","im":"0","approx_re":"0.004808","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"3/512+1/512*5^(1/2)","im":"0","approx_re":"0.010227","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":["5/2","5/2","5/2","5/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -152*X^4-200*X^3-212*X^2-112*X-24, 9872*X^4+25568*X^3+37776*X^2+28992*X+9376, -364032*X^4-1399808*X^3-2642176*X^2-2539008*X-1014016, 8529920*X^4+43130880*X^3+98770944*X^2+112343040*X+52101120, -135135232*X^4-830013440*X^3-2213789696*X^2-2879913984*X-1501495296, 1517879296*X^4+10569777152*X^3+31405178880*X^2+45223772160*X+25817448448, -12704546816*X^4-93967089664*X^3-293598134272*X^2-446554963968*X-269278511104, 83248545792*X^4+626159255552*X^3+1939722993664*X^2+2903272062976*X+1730242674688, -436207616000*X^4-3331284008960*X^3-10178669838336*X^2-14365726081024*X-7823954018304, 1791001362432*X^4+13958643712000*X^3+44105019162624*X^2+63200443760640*X+33853200662528, -5634997092352*X^4-43843026157568*X^3-140393890971648*X^2-210762635149312*X-122007135977472, 13194139533312*X^4+107752139522048*X^3+340298848796672*X^2+490931941801984*X+272060408397824, -1099511627776*(2*X+5)^4]", "text": "This is operator \"13.3\" from ...", "degz": 13, "h3": null, "sol": "1 24 464 8832 178960 4010368 100357376 2772019200 82738408720 2613822935424", "n_discr_factors": "4", "c3": null, "operator": "4 13 0 0 0 0 1 -24 -112 -212 -200 -152 9376 28992 37776 25568 9872 -1014016 -2539008 -2642176 -1399808 -364032 52101120 112343040 98770944 43130880 8529920 -1501495296 -2879913984 -2213789696 -830013440 -135135232 25817448448 45223772160 31405178880 10569777152 1517879296 -269278511104 -446554963968 -293598134272 -93967089664 -12704546816 1730242674688 2903272062976 1939722993664 626159255552 83248545792 -7823954018304 -14365726081024 -10178669838336 -3331284008960 -436207616000 33853200662528 63200443760640 44105019162624 13958643712000 1791001362432 -122007135977472 -210762635149312 -140393890971648 -43843026157568 -5634997092352 272060408397824 490931941801984 340298848796672 107752139522048 13194139533312 -687194767360000 -1099511627776000 -659706976665600 -175921860444160 -17592186044416", "new_number": "13.3", "id": 371, "operator_tex": "\\theta^4-2^{2} x\\left(38\\theta^4+50\\theta^3+53\\theta^2+28\\theta+6\\right)+2^{4} x^{2}\\left(617\\theta^4+1598\\theta^3+2361\\theta^2+1812\\theta+586\\right)-2^{8} x^{3}\\left(1422\\theta^4+5468\\theta^3+10321\\theta^2+9918\\theta+3961\\right)+2^{11} x^{4}\\left(4165\\theta^4+21060\\theta^3+48228\\theta^2+54855\\theta+25440\\right)-2^{14} x^{5}\\left(8248\\theta^4+50660\\theta^3+135119\\theta^2+175776\\theta+91644\\right)+2^{16} x^{6}\\left(23161\\theta^4+161282\\theta^3+479205\\theta^2+690060\\theta+393943\\right)-2^{20} x^{7}\\left(12116\\theta^4+89614\\theta^3+279997\\theta^2+425868\\theta+256804\\right)+2^{23} x^{8}\\left(9924\\theta^4+74644\\theta^3+231233\\theta^2+346097\\theta+206261\\right)-2^{27} x^{9}\\left(3250\\theta^4+24820\\theta^3+75837\\theta^2+107033\\theta+58293\\right)+2^{28} x^{10}\\left(6672\\theta^4+52000\\theta^3+164304\\theta^2+235440\\theta+126113\\right)-2^{32} x^{11}\\left(1312\\theta^4+10208\\theta^3+32688\\theta^2+49072\\theta+28407\\right)+2^{36} x^{12}\\left(192\\theta^4+1568\\theta^3+4952\\theta^2+7144\\theta+3959\\right)-2^{40} x^{13}\\left((2\\theta+5)^4\\right)", "superseek": "4 52", "discriminant": "13 1 -152 9872 -364032 8529920 -135135232 1517879296 -12704546816 83248545792 -436207616000 1791001362432 -5634997092352 13194139533312 -17592186044416", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "9127ce057848ca38f220a7bb67e245a2", "dim_h": null, "inst": " 4 7/2 52 500 2796 108891/2 523876 8014175 112614496 3281174301/2", "cleanlist": "True", "n_sing_real": "6", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "8", "laurent": null, "discriminant_tex": "-(1-48z+256z^2)(8z-1)^2(512z^3-32z^2+20z-1)^2(16z-1)^3", "discr_factors": "-17592186044416, (z^3-1/16*z^2+5/128*z-1/512)^2, 1/256-3/16*z+z^2, (z-1/8)^2, (z-1/16)^3", "dm_basis": null, "q": "0 1 -16 192 -2304 24240 -254976 2316288 -22216704 157621400", "yuk": "1 4 32 1408 32032 349504 11761664 179689472 4103289632 82095968992", "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":"-1/96*(64+3*3165^(1/2))^(1/3)+29/96/(64+3*3165^(1/2))^(1/3)+1/48","im":"-1/8*3^(1/2)*(1/12*(64+3*3165^(1/2))^(1/3)+29/12/(64+3*3165^(1/2))^(1/3))","approx_re":"0.005863","approx_im":"-0.196043","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/96*(64+3*3165^(1/2))^(1/3)+29/96/(64+3*3165^(1/2))^(1/3)+1/48","im":"1/8*3^(1/2)*(1/12*(64+3*3165^(1/2))^(1/3)+29/12/(64+3*3165^(1/2))^(1/3))","approx_re":"0.005863","approx_im":"0.196043","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"3/32-1/32*5^(1/2)","im":"0","approx_re":"0.023873","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/48*(64+3*3165^(1/2))^(1/3)-29/48/(64+3*3165^(1/2))^(1/3)+1/48","im":"0","approx_re":"0.050774","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/16","im":"0","approx_re":"0.0625","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/8","im":"0","approx_re":"0.125","approx_im":"0.0","exponents":["0","0","-1","1"],"monodromy":[],"monodromy_dm":[]},{"re":"3/32+1/32*5^(1/2)","im":"0","approx_re":"0.163627","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":["5/2","5/2","5/2","5/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -64-352*X-896*X^2-1088*X^3-128*X^4, 89856+320512*X+536576*X^2+223232*X^3-97280*X^4, -28295168-78446592*X-100597760*X^2+45219840*X^3+25755648*X^4, 4397465600+8992587776*X+8074035200*X^2-18865979392*X^3+29360128*X^4, -592873259008-1003143299072*X-717393756160*X^2+2214592512000*X^3-865435910144*X^4, 73292543164416+141527762337792*X+137705241444352*X^2-79714593013760*X^3+158037616623616*X^4, -4239098361413632-9296370812846080*X-12437125777588224*X^2-3580009860038656*X^3-14077047370416128*X^4, -293116605825548288-711990953589604352*X-343293918470733824*X^2+66428094503714816*X^3+657595914340270080*X^4, 70349040929294254080+177504875713180729344*X+157873684937472737280*X^2+56673297710830321664*X^3-8673932882315575296*X^4, -5505848702844035661824-14295073735620295655424*X-13763000461244235776000*X^2-5833782813310645698560*X^3-739022684452988911616*X^4, 229781867554163029704704+606676519096159733547008*X+600257052158508809584640*X^2+266223410471776248922112*X^3+45010055539851305943040*X^4, -5147379466327913282928640-13694862800321971119718400*X-13675973334390492538863616*X^2-6120186961799060196950016*X^3-1057810092162800527867904*X^4, 604462909807314587353088*(2*X+3)^4]", "text": "This is operator \"13.4\" from ...", "degz": 13, "h3": null, "sol": "1 64 4496 339968 27330832 2317638656 205965326592 19066067124224 1827921280793872 180556456063955968", "n_discr_factors": "4", "c3": null, "operator": "4 13 0 0 0 0 1 -64 -352 -896 -1088 -128 89856 320512 536576 223232 -97280 -28295168 -78446592 -100597760 45219840 25755648 4397465600 8992587776 8074035200 -18865979392 29360128 -592873259008 -1003143299072 -717393756160 2214592512000 -865435910144 73292543164416 141527762337792 137705241444352 -79714593013760 158037616623616 -4239098361413632 -9296370812846080 -12437125777588224 -3580009860038656 -14077047370416128 -293116605825548288 -711990953589604352 -343293918470733824 66428094503714816 657595914340270080 70349040929294254080 177504875713180729344 157873684937472737280 56673297710830321664 -8673932882315575296 -5505848702844035661824 -14295073735620295655424 -13763000461244235776000 -5833782813310645698560 -739022684452988911616 229781867554163029704704 606676519096159733547008 600257052158508809584640 266223410471776248922112 45010055539851305943040 -5147379466327913282928640 -13694862800321971119718400 -13675973334390492538863616 -6120186961799060196950016 -1057810092162800527867904 48961495694392481575600128 130563988518379950868267008 130563988518379950868267008 58028439341502200385896448 9671406556917033397649408", "new_number": "13.4", "id": 372, "operator_tex": "\\theta^4-2^{5} x\\left(4\\theta^4+34\\theta^3+28\\theta^2+11\\theta+2\\right)-2^{8} x^{2}\\left(380\\theta^4-872\\theta^3-2096\\theta^2-1252\\theta-351\\right)+2^{14} x^{3}\\left(1572\\theta^4+2760\\theta^3-6140\\theta^2-4788\\theta-1727\\right)+2^{18} x^{4}\\left(112\\theta^4-71968\\theta^3+30800\\theta^2+34304\\theta+16775\\right)-2^{25} x^{5}\\left(25792\\theta^4-66000\\theta^3+21380\\theta^2+29896\\theta+17669\\right)+2^{30} x^{6}\\left(147184\\theta^4-74240\\theta^3+128248\\theta^2+131808\\theta+68259\\right)-2^{36} x^{7}\\left(204848\\theta^4+52096\\theta^3+180984\\theta^2+135280\\theta+61687\\right)+2^{42} x^{8}\\left(149520\\theta^4+15104\\theta^3-78056\\theta^2-161888\\theta-66647\\right)-2^{49} x^{9}\\left(15408\\theta^4-100672\\theta^3-280440\\theta^2-315312\\theta-124965\\right)-2^{56} x^{10}\\left(10256\\theta^4+80960\\theta^3+191000\\theta^2+198384\\theta+76409\\right)+2^{63} x^{11}\\left(4880\\theta^4+28864\\theta^3+65080\\theta^2+65776\\theta+24913\\right)-2^{73} x^{12}\\left(112\\theta^4+648\\theta^3+1448\\theta^2+1450\\theta+545\\right)+2^{79} x^{13}\\left((2\\theta+3)^4\\right)", "superseek": "128 341632", "discriminant": "13 1 -128 -97280 25755648 29360128 -865435910144 158037616623616 -14077047370416128 657595914340270080 -8673932882315575296 -739022684452988911616 45010055539851305943040 -1057810092162800527867904 9671406556917033397649408", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "e2189010cb583bd9f4eab25b75b409cf", "dim_h": null, "inst": " 128 -4796 341632 -31623118 3395329408 -401210837772 50698611117184 -6731675325438646 928482366744558592 -131982672382526142804", "cleanlist": "True", "n_sing_real": "6", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "8", "laurent": null, "discriminant_tex": "(128z-1)(4096z^2+64z-1)(1048576z^3-28672z^2+160z+1)^2(64z-1)^4", "discr_factors": "9671406556917033397649408, z^2+1/64*z-1/4096, (z^3-7/256*z^2+5/32768*z+1/1048576)^2, z-1/128, (z-1/64)^4", "dm_basis": null, "q": "0 1 -96 10144 -1202176 155317552 -21353407488 3071377401344 -456943281307648 69770730097903256", "yuk": "1 128 -38240 9224192 -2023917792 424416176128 -86661531772928 17389623613194240 -3446617768648504544 676863645356792437760", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/128-1/128*5^(1/2)","im":"0","approx_re":"-0.025282","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/768*(188+3*3165^(1/2))^(1/3)-19/768/(188+3*3165^(1/2))^(1/3)+7/768","im":"0","approx_re":"-0.003609","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":"1/128","im":"0","approx_re":"0.0078125","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/128+1/128*5^(1/2)","im":"0","approx_re":"0.009657","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/1536*(188+3*3165^(1/2))^(1/3)+19/1536/(188+3*3165^(1/2))^(1/3)+7/768","im":"1/64*3^(1/2)*(-1/24*(188+3*3165^(1/2))^(1/3)+19/24/(188+3*3165^(1/2))^(1/3))","approx_re":"0.015476","approx_im":"-0.004977","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/1536*(188+3*3165^(1/2))^(1/3)+19/1536/(188+3*3165^(1/2))^(1/3)+7/768","im":"-1/64*3^(1/2)*(-1/24*(188+3*3165^(1/2))^(1/3)+19/24/(188+3*3165^(1/2))^(1/3))","approx_re":"0.015476","approx_im":"0.004977","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/64","im":"0","approx_re":"0.015625","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":["3/2","3/2","3/2","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -1280*X^4-2560*X^3-2432*X^2-1152*X-240, 393216*X^4+3932160*X^3+5816320*X^2+3768320*X+1130496, 436207616*X^4-2516582400*X^3-6517948416*X^2-5058330624*X-1859125248, -493921239040*X^4+146028888064*X^3+4114578669568*X^2+4041564225536*X+1751541350400, 194613558116352*X^4+857619069665280*X^3-1343328331235328*X^2-1853776604430336*X-996157534765056, 3377699720527872*X^4-638385247179767808*X^3+81064793292668928*X^2+401524054277750784*X+331858997541863424, -42369865294301626368*X^4+214875745421101105152*X^3+115598395235345891328*X^2+19995982345525002240*X-53529785170925715456, 24128341248412093513728*X^4-23021536603989520416768*X^3-32055829514088773320704*X^2-27365744833348119822336*X-190232048260129751040, -7886352026392307506872320*X^4-10455319393073394503122944*X^3-9913427839164102714851328*X^2-3612610359395278588477440*X-1200661678269607295582208, 1713047886393929540558651392*X^4+5428076930069684994430730240*X^3+8543176535761680720354869248*X^2+6805647901520554939008417792*X+2303230359957046320785522688, -249754402925825470460898312192*X^4-1210705358421101908851343491072*X^3-2482379263777008796241468850176*X^2-2451430762794874289368990744576*X-961473211449349958193918246912, 69324642199981295394350956544*(2*X+3)*(164*X^3+810*X^2+1434*X+891), -248459517644732962693353828253696*(X+2)^2*(2*X+3)*(2*X+5)]", "text": "This is operator \"13.5\" from ...", "degz": 13, "h3": null, "sol": "1 240 44304 7503616 1459723536 367730839296 100944978993408 25446669435924480 5685941956548042000 1199414755279751683840", "n_discr_factors": "3", "c3": null, "operator": "4 13 0 0 0 0 1 -240 -1152 -2432 -2560 -1280 1130496 3768320 5816320 3932160 393216 -1859125248 -5058330624 -6517948416 -2516582400 436207616 1751541350400 4041564225536 4114578669568 146028888064 -493921239040 -996157534765056 -1853776604430336 -1343328331235328 857619069665280 194613558116352 331858997541863424 401524054277750784 81064793292668928 -638385247179767808 3377699720527872 -53529785170925715456 19995982345525002240 115598395235345891328 214875745421101105152 -42369865294301626368 -190232048260129751040 -27365744833348119822336 -32055829514088773320704 -23021536603989520416768 24128341248412093513728 -1200661678269607295582208 -3612610359395278588477440 -9913427839164102714851328 -10455319393073394503122944 -7886352026392307506872320 2303230359957046320785522688 6805647901520554939008417792 8543176535761680720354869248 5428076930069684994430730240 1713047886393929540558651392 -961473211449349958193918246912 -2451430762794874289368990744576 -2482379263777008796241468850176 -1210705358421101908851343491072 -249754402925825470460898312192 185304768600550002589100106842112 421771123144686201179231219613696 367281954375500902999271367770112 146413644326360495872869220220928 22738482641593864889347113746432 -14907571058683977761601229695221760 -30808980187946887373975874703458304 -23603654176249631455868613684101120 -7950704564631454806187322504118272 -993838070578931850773415313014784", "new_number": "13.5", "id": 373, "operator_tex": "\\theta^4-2^{4} x\\left(80\\theta^4+160\\theta^3+152\\theta^2+72\\theta+15\\right)+2^{14} x^{2}\\left(24\\theta^4+240\\theta^3+355\\theta^2+230\\theta+69\\right)+2^{20} x^{3}\\left(416\\theta^4-2400\\theta^3-6216\\theta^2-4824\\theta-1773\\right)-2^{28} x^{4}\\left(1840\\theta^4-544\\theta^3-15328\\theta^2-15056\\theta-6525\\right)+2^{38} 3 x^{5}\\left(236\\theta^4+1040\\theta^3-1629\\theta^2-2248\\theta-1208\\right)+2^{47} 3 x^{6}\\left(8\\theta^4-1512\\theta^3+192\\theta^2+951\\theta+786\\right)-2^{53} 3 x^{7}\\left(1568\\theta^4-7952\\theta^3-4278\\theta^2-740\\theta+1981\\right)+2^{60} 3 x^{8}\\left(6976\\theta^4-6656\\theta^3-9268\\theta^2-7912\\theta-55\\right)-2^{70} x^{9}\\left(6680\\theta^4+8856\\theta^3+8397\\theta^2+3060\\theta+1017\\right)+2^{76} x^{10}\\left(22672\\theta^4+71840\\theta^3+113068\\theta^2+90072\\theta+30483\\right)-2^{84} x^{11}\\left(12912\\theta^4+62592\\theta^3+128336\\theta^2+126736\\theta+49707\\right)+2^{93} 7 x^{12}(2\\theta+3)(164\\theta^3+810\\theta^2+1434\\theta+891)-2^{102} 7^{2} x^{13}(\\theta+2)^2(2\\theta+3)(2\\theta+5)", "superseek": "224 4999008", "discriminant": "13 1 -1280 393216 436207616 -493921239040 194613558116352 3377699720527872 -42369865294301626368 24128341248412093513728 -7886352026392307506872320 1713047886393929540558651392 -249754402925825470460898312192 22738482641593864889347113746432 -993838070578931850773415313014784", "aesz": null, "n_sing_complex": "4", "inst_int": "", "c2h": null, "hash": "6d924b9c12ee7379761d409ee75e42ab", "dim_h": null, "inst": " 224 -22712 4999008 -855952448 199163179936 -53623886987352 14508663979369952 -4181788885349205056 1262106790700693848320 -389795261431691959411304", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "7", "laurent": null, "discriminant_tex": "-(65536z^2-256z+1)^2(117440512z^3-196608z^2+1)^2(256z-1)^3", "discr_factors": "-993838070578931850773415313014784, (z^3-3/1792*z^2+1/117440512)^2, (z-1/256)^3, (z^2-1/256*z+1/65536)^2", "dm_basis": null, "q": "0 1 -192 51296 -15951872 4939324976 -1598313617408 535361648681472 -182102770349637632 62981390560055417496", "yuk": "1 224 -181472 134973440 -54781138144 24895397492224 -11582759454476288 4976471744923893760 -2141075909353574126816 920075850420805950398720", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/3584*(188+84*5^(1/2))^(1/3)-1/896/(188+84*5^(1/2))^(1/3)+1/1792","im":"0","approx_re":"-0.00161","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":"1/7168*(188+84*5^(1/2))^(1/3)+1/1792/(188+84*5^(1/2))^(1/3)+1/1792","im":"1/512*3^(1/2)*(-1/14*(188+84*5^(1/2))^(1/3)+2/7/(188+84*5^(1/2))^(1/3))","approx_re":"0.001642","approx_im":"-0.00161","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/7168*(188+84*5^(1/2))^(1/3)+1/1792/(188+84*5^(1/2))^(1/3)+1/1792","im":"-1/512*3^(1/2)*(-1/14*(188+84*5^(1/2))^(1/3)+2/7/(188+84*5^(1/2))^(1/3))","approx_re":"0.001642","approx_im":"0.00161","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/512","im":"-1/512*3^(1/2)","approx_re":"0.001953125","approx_im":"-0.003383","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/512","im":"1/512*3^(1/2)","approx_re":"0.001953125","approx_im":"0.003383","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/256","im":"0","approx_re":"0.00390625","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":["3/2","2","2","5/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -217*X^4-178*X^3-178*X^2-89*X-18, 6192+24334*X+39795*X^2+33324*X^3+20643*X^4, -1114456*X^4-2668464*X^3-3660480*X^2-2524040*X-713952, 36536560*X^4+116144992*X^3+177648928*X^2+131081136*X+38709792, -697005504*X^4-2793831552*X^3-4599245184*X^2-3383810496*X-951160320, -1056312576+18392859648*X+42714847296*X^2+27747606528*X^3+5402526912*X^4, 61703493120*X^4+287137944576*X^3+857573111808*X^2+1328270068224*X+678366544896, -1748457529344*X^4-10559291424768*X^3-27646051700736*X^2-35365777514496*X-16291812372480, 9300074102784*X^4+69953722122240*X^3+191597765492736*X^2+246689600274432*X+114446794752000, 15479341056*(X+1)*(6759*X^3+40481*X^2+97855*X+79397), -41278242816*(X+1)*(X+2)*(29107*X^2+160713*X+251822), -71328803586048*(X+3)*(X+2)*(X+1)*(17*X+4), 38517553936465920*(X+1)*(X+2)*(X+3)*(X+4)]", "text": "This is operator \"13.6\" from ...", "degz": 13, "h3": null, "sol": "1 18 378 8280 187434 4330908 101527344 2402089344 57112491690 1359099894852", "n_discr_factors": "5", "c3": null, "operator": "4 13 0 0 0 0 1 -18 -89 -178 -178 -217 6192 24334 39795 33324 20643 -713952 -2524040 -3660480 -2668464 -1114456 38709792 131081136 177648928 116144992 36536560 -951160320 -3383810496 -4599245184 -2793831552 -697005504 -1056312576 18392859648 42714847296 27747606528 5402526912 678366544896 1328270068224 857573111808 287137944576 61703493120 -16291812372480 -35365777514496 -27646051700736 -10559291424768 -1748457529344 114446794752000 246689600274432 191597765492736 69953722122240 9300074102784 1229013241823232 2743744160858112 2141350124322816 731244071485440 104624866197504 -20789539324821504 -44452209462607872 -32699592002764800 -10238407678623744 -1201485813645312 -1711891286065152 -10414005323563008 -15050377556656128 -7560853180121088 -1212589660962816 924421294475182080 1925877696823296000 1348114387776307200 385175539364659200 38517553936465920", "new_number": "13.6", "id": 374, "operator_tex": "\\theta^4-x\\left(217\\theta^4+178\\theta^3+178\\theta^2+89\\theta+18\\right)+x^{2}\\left(6192+24334\\theta+39795\\theta^2+33324\\theta^3+20643\\theta^4\\right)-2^{3} x^{3}\\left(139307\\theta^4+333558\\theta^3+457560\\theta^2+315505\\theta+89244\\right)+2^{4} x^{4}\\left(2283535\\theta^4+7259062\\theta^3+11103058\\theta^2+8192571\\theta+2419362\\right)-2^{6} 3 x^{5}\\left(3630237\\theta^4+14551206\\theta^3+23954402\\theta^2+17624013\\theta+4953960\\right)+2^{6} 3^{2} x^{6}\\left(9379387\\theta^4+48172928\\theta^3+74157721\\theta^2+31932048\\theta-1833876\\right)+2^{9} 3^{5} x^{7}\\left(495945\\theta^4+2307886\\theta^3+6892788\\theta^2+10676039\\theta+5452406\\right)-2^{12} 3^{4} x^{8}\\left(5269994\\theta^4+31826568\\theta^3+83327461\\theta^2+106595346\\theta+49104855\\right)+2^{15} 3^{7} x^{9}\\left(129774\\theta^4+976140\\theta^3+2673571\\theta^2+3442327\\theta+1597000\\right)+2^{18} 3^{10} x^{10}(\\theta+1)(6759\\theta^3+40481\\theta^2+97855\\theta+79397)-2^{21} 3^{9} x^{11}(\\theta+1)(\\theta+2)(29107\\theta^2+160713\\theta+251822)-2^{27} 3^{12} x^{12}(\\theta+3)(\\theta+2)(\\theta+1)(17\\theta+4)+2^{29} 3^{15} 5 x^{13}(\\theta+1)(\\theta+2)(\\theta+3)(\\theta+4)", "superseek": "2 421/9", "discriminant": "13 1 -217 20643 -1114456 36536560 -697005504 5402526912 61703493120 -1748457529344 9300074102784 104624866197504 -1201485813645312 -1212589660962816 38517553936465920", "aesz": null, "n_sing_complex": "4", "inst_int": "", "c2h": null, "hash": "679aa37a05aafe03e8d68785d566fcfb", "dim_h": null, "inst": " 2 -3/2 421/9 -519/2 285 -77417/6 98268 -807195/2 20513023/3 -58806463", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "9", "laurent": null, "discriminant_tex": "(16z-1)(19440z^3-2187z^2+81z-1)(24z-1)^2(648z^2-48z+1)^2(8z+1)^3", "discr_factors": "38517553936465920, (z-1/24)^2, z^3-9/80*z^2+1/240*z-1/19440, z-1/16, (z^2-2/27*z+1/648)^2, (z+1/8)^3", "dm_basis": null, "q": "0 1 -17 216 -1969 5945 257742 -7810742 146004187 -2114608545", "yuk": "1 2 -10 1265 -16618 35627 -2785759 33705926 -206658538 4984665854", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/8","im":"0","approx_re":"-0.125","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":"-1/480*3^(2/3)-1/1440*3^(1/3)+3/80","im":"-1/6*3^(1/2)*(1/80*3^(2/3)-1/240*3^(1/3))","approx_re":"0.032165","approx_im":"-0.005771","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/480*3^(2/3)-1/1440*3^(1/3)+3/80","im":"1/6*3^(1/2)*(1/80*3^(2/3)-1/240*3^(1/3))","approx_re":"0.032165","approx_im":"0.005771","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/27","im":"-1/108*2^(1/2)","approx_re":"0.037037037037","approx_im":"-0.013095","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/27","im":"1/108*2^(1/2)","approx_re":"0.037037037037","approx_im":"0.013095","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/24","im":"0","approx_re":"0.0416666666667","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/240*3^(2/3)+1/720*3^(1/3)+3/80","im":"0","approx_re":"0.04817","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","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","2","3","4"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 127*X^4-2*X^3+22*X^2+23*X+6, 4803*X^4+1644*X^3+3459*X^2+430*X-384, 20056*X^4+64944*X^3-19584*X^2-57016*X-23520, -1506800*X^4-1413728*X^3-2134688*X^2-1784112*X-622368, 4290624*X^4+37959552*X^3+150483072*X^2+171473472*X+69110784, 500582592*X^4+2717687808*X^3+6429575232*X^2+6772792320*X+2640096000, -3400496640*X^4-18498917376*X^3-47206361088*X^2-61076740608*X-29078811648, -77713219584*X^4-719080685568*X^3-2326537064448*X^2-3124173348864*X-1451769163776, 17464017125376*X+7548312748032+5122993029120*X^3+14459018379264*X^2+646835798016*X^4, 191102976*(X+1)*(15879*X^3+214401*X^2+816191*X+896789), -4586471424*(X+1)*(X+2)*(8037*X^2+71103*X+151546), 2641807540224*(X+3)*(X+2)*(X+1)*(31*X+152), -52836150804480*(X+1)*(X+2)*(X+3)*(X+4)]", "text": "This is operator \"13.7\" from ...", "degz": 13, "h3": null, "sol": "1 -6 90 -1368 21546 -385236 7073136 -133747200 2639185578 -52865736876", "n_discr_factors": "5", "c3": null, "operator": "4 13 0 0 0 0 1 6 23 22 -2 127 -384 430 3459 1644 4803 -23520 -57016 -19584 64944 20056 -622368 -1784112 -2134688 -1413728 -1506800 69110784 171473472 150483072 37959552 4290624 2640096000 6772792320 6429575232 2717687808 500582592 -29078811648 -61076740608 -47206361088 -18498917376 -3400496640 -1451769163776 -3124173348864 -2326537064448 -719080685568 -77713219584 7548312748032 17464017125376 14459018379264 5122993029120 646835798016 171379046744064 327355575828480 196949198241792 44007193313280 3034524155904 -1390122796843008 -2737407950585856 -1747119973072896 -436696290164736 -36861470834688 2409328476684288 4908478409736192 3310184847900672 892930948595712 81896033746944 -1268067619307520 -2641807540224000 -1849265278156800 -528361508044800 -52836150804480", "new_number": "13.7", "id": 375, "operator_tex": "\\theta^4+x\\left(127\\theta^4-2\\theta^3+22\\theta^2+23\\theta+6\\right)+x^{2}\\left(4803\\theta^4+1644\\theta^3+3459\\theta^2+430\\theta-384\\right)+2^{3} x^{3}\\left(2507\\theta^4+8118\\theta^3-2448\\theta^2-7127\\theta-2940\\right)-2^{4} x^{4}\\left(94175\\theta^4+88358\\theta^3+133418\\theta^2+111507\\theta+38898\\right)+2^{6} 3 x^{5}\\left(22347\\theta^4+197706\\theta^3+783766\\theta^2+893091\\theta+359952\\right)+2^{6} 3^{2} x^{6}\\left(869067\\theta^4+4718208\\theta^3+11162457\\theta^2+11758320\\theta+4583500\\right)-2^{9} 3^{3} x^{7}\\left(245985\\theta^4+1338174\\theta^3+3414812\\theta^2+4418167\\theta+2103502\\right)-2^{12} 3^{4} x^{8}\\left(234234\\theta^4+2167368\\theta^3+7012373\\theta^2+9416514\\theta+4375751\\right)+2^{15} 3^{5} x^{9}\\left(81234\\theta^4+643380\\theta^3+1815861\\theta^2+2193249\\theta+947968\\right)+2^{18} 3^{6} x^{10}(\\theta+1)(15879\\theta^3+214401\\theta^2+816191\\theta+896789)-2^{21} 3^{7} x^{11}(\\theta+1)(\\theta+2)(8037\\theta^2+71103\\theta+151546)+2^{27} 3^{9} x^{12}(\\theta+3)(\\theta+2)(\\theta+1)(31\\theta+152)-2^{29} 3^{9} 5 x^{13}(\\theta+1)(\\theta+2)(\\theta+3)(\\theta+4)", "superseek": "10 7709/9", "discriminant": "13 1 127 4803 20056 -1506800 4290624 500582592 -3400496640 -77713219584 646835798016 3034524155904 -36861470834688 81896033746944 -52836150804480", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "47093f7f3b7ab4544ef6b418bdae778b", "dim_h": null, "inst": " 10 -149/2 7709/9 -27333/2 242829 -85405225/18 99122532 -4339920081/2 147931798999/3 -1154124338493", "cleanlist": "True", "n_sing_real": "7", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "9", "laurent": null, "discriminant_tex": "-(16z+1)(2160z^3+27z^2-9z+1)(24z+1)^2(72z^2-48z-1)^2(8z-1)^3", "discr_factors": "-52836150804480, z+1/16, z^3+1/80*z^2-1/240*z+1/2160, (z-1/8)^3, (z^2-2/3*z-1/72)^2, (z+1/24)^2", "dm_basis": null, "q": "0 1 -1 0 -161 9305 -210114 4823674 -121393813 3105856143", "yuk": "1 10 -586 23137 -875242 30353635 -1024840159 33999028486 -1111020415978 35947427179894", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-3/80*3^(2/3)-1/80*3^(1/3)-1/240","im":"0","approx_re":"-0.100198","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","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/24","im":"0","approx_re":"-0.0416666666667","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/3-1/4*2^(1/2)","im":"0","approx_re":"-0.02022","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":"3/160*3^(2/3)+1/160*3^(1/3)-1/240","im":"1/6*3^(1/2)*(-9/80*3^(2/3)+3/80*3^(1/3))","approx_re":"0.043849","approx_im":"-0.05194","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"3/160*3^(2/3)+1/160*3^(1/3)-1/240","im":"-1/6*3^(1/2)*(-9/80*3^(2/3)+3/80*3^(1/3))","approx_re":"0.043849","approx_im":"0.05194","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/8","im":"0","approx_re":"0.125","approx_im":"0.0","exponents":["0","1/2","3/2","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/3+1/4*2^(1/2)","im":"0","approx_re":"0.686887","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","2","3","4"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -55*X^4-142*X^3-112*X^2-41*X-6, 456*X^4+4668*X^3+7455*X^2+3958*X+696, 35078*X^4+127188*X^3+175671*X^2+133507*X+41718, 82753*X^4+664768*X^3+2450839*X^2+2316756*X+736812, -2655315*X^4-4028814*X^3+2649993*X^2+8119728*X+4050684, -6219018*X^4-60015708*X^3-89450730*X^2-53365392*X-11353464, -175541148*X^2-256801536*X+49673412*X^4+29231928*X^3-103999248, 1325353104*X+906483312*X^3+407584224+1655573904*X^2+145904976*X^4, -132584688*X^4+131663232*X^3+1842270480*X^2+2895494688*X+1361857536, -23328*(X+1)*(20847*X^3+146325*X^2+303230*X+217616), 139968*(X+1)*(X+2)*(1791*X^2-1173*X-14800), 10077696*(X+3)*(X+2)*(X+1)*(52*X+257), -342641664*(X+1)*(X+2)*(X+3)*(X+4)]", "text": "This is operator \"13.8\" from ...", "degz": 13, "h3": null, "sol": "1 6 90 1044 -5670 -1072764 -51455844 -1769263560 -45316195686 -614757875220", "n_discr_factors": "6", "c3": null, "operator": "4 13 0 0 0 0 1 -6 -41 -112 -142 -55 696 3958 7455 4668 456 41718 133507 175671 127188 35078 736812 2316756 2450839 664768 82753 4050684 8119728 2649993 -4028814 -2655315 -11353464 -53365392 -89450730 -60015708 -6219018 -103999248 -256801536 -175541148 29231928 49673412 407584224 1325353104 1655573904 906483312 145904976 1361857536 2895494688 1842270480 131663232 -132584688 -5076546048 -12150295488 -10487219040 -3899788416 -486318816 -4143052800 -6542944128 -2062708416 587865600 250682688 15539807232 31633887744 21304249344 5734209024 524040192 -8223399936 -17132083200 -11992458240 -3426416640 -342641664", "new_number": "13.8", "id": 376, "operator_tex": "\\theta^4-x\\left(55\\theta^4+142\\theta^3+112\\theta^2+41\\theta+6\\right)+x^{2}\\left(456\\theta^4+4668\\theta^3+7455\\theta^2+3958\\theta+696\\right)+x^{3}\\left(35078\\theta^4+127188\\theta^3+175671\\theta^2+133507\\theta+41718\\right)+x^{4}\\left(82753\\theta^4+664768\\theta^3+2450839\\theta^2+2316756\\theta+736812\\right)-3 x^{5}\\left(885105\\theta^4+1342938\\theta^3-883331\\theta^2-2706576\\theta-1350228\\right)-2 3^{2} x^{6}\\left(345501\\theta^4+3334206\\theta^3+4969485\\theta^2+2964744\\theta+630748\\right)+2^{2} 3^{3} x^{7}\\left(459939\\theta^4+270666\\theta^3-1625381\\theta^2-2377792\\theta-962956\\right)+2^{4} 3^{4} x^{8}\\left(112581\\theta^4+699447\\theta^3+1277449\\theta^2+1022649\\theta+314494\\right)-2^{4} 3^{5} x^{9}\\left(34101\\theta^4-33864\\theta^3-473835\\theta^2-744726\\theta-350272\\right)-2^{5} 3^{6} x^{10}(\\theta+1)(20847\\theta^3+146325\\theta^2+303230\\theta+217616)+2^{6} 3^{7} x^{11}(\\theta+1)(\\theta+2)(1791\\theta^2-1173\\theta-14800)+2^{9} 3^{9} x^{12}(\\theta+3)(\\theta+2)(\\theta+1)(52\\theta+257)-2^{10} 3^{9} 17 x^{13}(\\theta+1)(\\theta+2)(\\theta+3)(\\theta+4)", "superseek": "8 -830/9", "discriminant": "13 1 -55 456 35078 82753 -2655315 -6219018 49673412 145904976 -132584688 -486318816 250682688 524040192 -342641664", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "bcea3fff557004b4da26e9aa34caac6c", "dim_h": null, "inst": " 8 -45/2 -830/9 -5301/2 2790 787217/6 7180248 115903851/2 -289645460/3 -32500367598", "cleanlist": "True", "n_sing_real": "7", "sol_explicit": "", "n_sing_rational": "6", "n_sing": "9", "laurent": null, "discriminant_tex": "-(2z+1)(3672z^3+1728z^2-72z+1)(6z-1)^2(12z+1)^2(3z+1)^2(z-1)^3", "discr_factors": "-342641664, (z-1/6)^2, (z-1)^3, z^3+8/17*z^2-1/51*z+1/3672, (z+1/12)^2, (z+1/3)^2, z+1/2", "dm_basis": null, "q": "0 1 -17 243 -1855 16442 -120123 -129899 -24681317 160305642", "yuk": "1 8 -172 -2482 -169804 348758 28337150 2462825072 29671216052 -70383849262", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-3/34*3^(2/3)-2/17*3^(1/3)-8/51","im":"0","approx_re":"-0.510076","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/2","im":"0","approx_re":"-0.5","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/3","im":"0","approx_re":"-0.333333333333","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/12","im":"0","approx_re":"-0.0833333333333","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":"3/68*3^(2/3)+1/17*3^(1/3)-8/51","im":"1/12*3^(1/2)*(-9/17*3^(2/3)+12/17*3^(1/3))","approx_re":"0.019744","approx_im":"-0.012003","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"3/68*3^(2/3)+1/17*3^(1/3)-8/51","im":"-1/12*3^(1/2)*(-9/17*3^(2/3)+12/17*3^(1/3))","approx_re":"0.019744","approx_im":"0.012003","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/6","im":"0","approx_re":"0.166666666667","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1","im":"0","approx_re":"1.0","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":[]}]}, {"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":[]}]}, {"pols": "[1225*X^4, -7350-51450*X-141225*X^2-179550*X^3-88725*X^4, -247800-944300*X-1429790*X^2-1012540*X^3-290680*X^4, -698040-2128350*X-2505165*X^2-1430250*X^3-361135*X^4, -1362600-5368940*X-6845926*X^2-1558804*X^3+573496*X^4, -7490076-19892278*X-15897011*X^2+984006*X^3+2224575*X^4, -10379376-21193956*X-10487858*X^2+3075756*X^3+2219246*X^4, -6481008-15183836*X-6972508*X^2+7310984*X^3-949784*X^4, -6251184-8696232*X+5388408*X^2+11708496*X^3-4200768*X^4, 2020752+11790432*X+16683948*X^2+5755464*X^3-2798676*X^4, 3729888+9670752*X+8492472*X^2+2639952*X^3+155736*X^4, -864*(X+1)*(657*X^3+1363*X^2+689*X-222), -11232*(X+2)*(X+1)*(115*X^2+339*X+270), -292032*(X+1)*(X+2)^2*(X+3)]", "text": "This is operator \"13.17\" from ...", "degz": 13, "h3": null, "sol": "1 6 156 5796 259296 12934296 693043356 39060776376 2285942985936 137729018824416", "n_discr_factors": null, "c3": null, "operator": "4 13 0 0 0 0 1225 -7350 -51450 -141225 -179550 -88725 -247800 -944300 -1429790 -1012540 -290680 -698040 -2128350 -2505165 -1430250 -361135 -1362600 -5368940 -6845926 -1558804 573496 -7490076 -19892278 -15897011 984006 2224575 -10379376 -21193956 -10487858 3075756 2219246 -6481008 -15183836 -6972508 7310984 -949784 -6251184 -8696232 5388408 11708496 -4200768 2020752 11790432 16683948 5755464 -2798676 3729888 9670752 8492472 2639952 155736 191808 -403488 -1772928 -1745280 -567648 -6065280 -16713216 -17038944 -7682688 -1291680 -3504384 -8176896 -6716736 -2336256 -292032", "new_number": "13.17", "id": 558, "operator_tex": "5^{2} 7^{2} \\theta^4-3 5^{2} 7 x\\left(169\\theta^4+342\\theta^3+269\\theta^2+98\\theta+14\\right)-2 5 x^{2}\\left(29068\\theta^4+101254\\theta^3+142979\\theta^2+94430\\theta+24780\\right)-5 x^{3}\\left(72227\\theta^4+286050\\theta^3+501033\\theta^2+425670\\theta+139608\\right)+2 x^{4}\\left(286748\\theta^4-779402\\theta^3-3422963\\theta^2-2684470\\theta-681300\\right)-x^{5}\\left(7490076+19892278\\theta+15897011\\theta^2-984006\\theta^3-2224575\\theta^4\\right)+2 x^{6}\\left(1109623\\theta^4+1537878\\theta^3-5243929\\theta^2-10596978\\theta-5189688\\right)-2^{2} x^{7}\\left(237446\\theta^4-1827746\\theta^3+1743127\\theta^2+3795959\\theta+1620252\\right)-2^{3} 3^{2} x^{8}\\left(58344\\theta^4-162618\\theta^3-74839\\theta^2+120781\\theta+86822\\right)-2^{2} 3^{2} x^{9}\\left(77741\\theta^4-159874\\theta^3-463443\\theta^2-327512\\theta-56132\\right)+2^{3} 3^{3} x^{10}\\left(721\\theta^4+12222\\theta^3+39317\\theta^2+44772\\theta+17268\\right)-2^{5} 3^{3} x^{11}(\\theta+1)(657\\theta^3+1363\\theta^2+689\\theta-222)-2^{5} 3^{3} 13 x^{12}(\\theta+2)(\\theta+1)(115\\theta^2+339\\theta+270)-2^{6} 3^{3} 13^{2} x^{13}(\\theta+1)(\\theta+2)^2(\\theta+3)", "superseek": "51/7 4071/7", "discriminant": null, "aesz": null, "n_sing_complex": null, "inst_int": null, "c2h": null, "hash": "1eb2bb810b4c7f191a26886aee350e18", "dim_h": null, "inst": " 51/7 1552/35 4071/7 378248/35 1721920/7 223809048/35 182271582 194623757576/35 6254523809013/35 41886987515942/7", "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 -18 52 -490 -15970 -423102 -13887327 -472801828 -16777481291", "yuk": "1 51/7 12671/35 109968/7 24220543/35 215240051/7 48343316624/35 437634068433/7 2847068231413 4559547857320317/35", "gv2": null, "gv0": null, "gv1": null}]}