{"count": 2, "status":"OK", "data":[{"pols": "[X^4, -147*X^2-10-60*X-174*X^3-111*X^4, 18380*X^2+5076*X^4+10888*X+14304*X^3+2556, -112944*X^4-369024*X^3-119984-401628*X-542564*X^2, 7969200*X^2+1990416+6155424*X+5629440*X^3+1676736*X^4, -89513152*X^2-17032896*X^4-67618112*X-60012672*X^3-20803904, 193077248+611573760*X+755942656*X^2+450177024*X^3+122568960*X^4, -4550648064*X^2-1333660160-3960000768*X-2501283840*X^3-607021056*X^4, 6398194688+18093783040*X+19412612096*X^2+9592946688*X^3+1898090496*X^4, -45056*(2*X+3)*(36502*X^3+178659*X^2+286703*X+145866), 594739200*(X+1)*(2*X+5)*(2*X+3)*(X+3)]", "text": "This is operator \"10.8\" from ...", "degz": 10, "h3": null, "sol": "1 10 154 2548 27370 -629180 -62562140 -3052891160 -114482112470 -3396152419100", "n_discr_factors": "4", "c3": null, "operator": "4 10 0 0 0 0 1 -10 -60 -147 -174 -111 2556 10888 18380 14304 5076 -119984 -401628 -542564 -369024 -112944 1990416 6155424 7969200 5629440 1676736 -20803904 -67618112 -89513152 -60012672 -17032896 193077248 611573760 755942656 450177024 122568960 -1333660160 -3960000768 -4550648064 -2501283840 -607021056 6398194688 18093783040 19412612096 9592946688 1898090496 -19716415488 -51897348096 -49984360448 -21033222144 -3289268224 26763264000 64231833600 54121267200 19031654400 2378956800", "new_number": "10.8", "id": 324, "operator_tex": "\\theta^4-x\\left(147\\theta^2+10+60\\theta+174\\theta^3+111\\theta^4\\right)+2^{2} x^{2}\\left(1269\\theta^4+3576\\theta^3+4595\\theta^2+2722\\theta+639\\right)-2^{2} x^{3}\\left(28236\\theta^4+92256\\theta^3+135641\\theta^2+100407\\theta+29996\\right)+2^{4} 3 x^{4}\\left(34932\\theta^4+117280\\theta^3+166025\\theta^2+128238\\theta+41467\\right)-2^{6} x^{5}\\left(266139\\theta^4+937698\\theta^3+1398643\\theta^2+1056533\\theta+325061\\right)+2^{8} x^{6}\\left(478785\\theta^4+1758504\\theta^3+2952901\\theta^2+2388960\\theta+754208\\right)-2^{8} x^{7}\\left(2371176\\theta^4+9770640\\theta^3+17775969\\theta^2+15468753\\theta+5209610\\right)+2^{10} x^{8}\\left(1853604\\theta^4+9368112\\theta^3+18957629\\theta^2+17669710\\theta+6248237\\right)-2^{12} 11 x^{9}(2\\theta+3)(36502\\theta^3+178659\\theta^2+286703\\theta+145866)+2^{16} 3 5^{2} 11^{2} x^{10}(\\theta+1)(2\\theta+5)(2\\theta+3)(\\theta+3)", "superseek": "7 -2044/9", "discriminant": "10 1 -111 5076 -112944 1676736 -17032896 122568960 -607021056 1898090496 -3289268224 2378956800", "aesz": null, "n_sing_complex": "4", "inst_int": "", "c2h": null, "hash": "772d055ae4c1a5d6a65a2b1f3ffa351b", "dim_h": null, "inst": " 7 -31/4 -2044/9 -1380 -8520 1625077/9 5885526 71672646 -85064144/3 -25138098376", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "8", "laurent": null, "discriminant_tex": "(3z-1)(6400z^3-2352z^2+84z-1)(4z-1)^2(88z^2-8z+1)^2", "discr_factors": "2378956800, z-1/3, (z-1/4)^2, (z^2-1/11*z+1/88)^2, z^3-147/400*z^2+21/1600*z-1/6400", "dm_basis": null, "q": "0 1 -20 336 -3940 48068 -537504 4863106 -72753176 674265258", "yuk": "1 7 -55 -6125 -88375 -1064993 38995661 2018735425 36696306377 -20670593117", "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":"-21/800*3^(2/3)-27/800*3^(1/3)+49/400","im":"-1/8*3^(1/2)*(21/100*3^(2/3)-27/100*3^(1/3))","approx_re":"0.019222","approx_im":"-0.010265","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-21/800*3^(2/3)-27/800*3^(1/3)+49/400","im":"1/8*3^(1/2)*(21/100*3^(2/3)-27/100*3^(1/3))","approx_re":"0.019222","approx_im":"0.010265","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/22","im":"-3/44*2^(1/2)","approx_re":"0.0454545454545","approx_im":"-0.096424","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/22","im":"3/44*2^(1/2)","approx_re":"0.0454545454545","approx_im":"0.096424","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","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"21/400*3^(2/3)+27/400*3^(1/3)+49/400","im":"0","approx_re":"0.329056","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","1","2"],"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, -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":[]}]}]}