{"count": 2, "status":"OK", "data":[{"pols": "[1849*X^4, -3698-75250*X^3-61662*X^2-24037*X-35690*X^4, -1342738*X^3-368510-1383525*X-354697*X^4-2007703*X^2, -2348230-6951423*X-774028*X^4-3928308*X^3-7763518*X^2, -8994645*X-8960520*X^2-666345*X^4-3960420*X^3-3321450, -450*(X+2)*(X+1)*(533*X^2+1694*X+1290), -3375*(3*X+5)*(3*X+4)*(X+2)*(X+1)]", "text": "This is operator \"6.26\" from ...", "degz": 6, "h3": null, "sol": "1 2 26 344 5650 101692 1961504 39693712 832924978 17976759860", "n_discr_factors": "4", "c3": null, "operator": "4 6 0 0 0 0 1849 -3698 -24037 -61662 -75250 -35690 -368510 -1383525 -2007703 -1342738 -354697 -2348230 -6951423 -7763518 -3928308 -774028 -3321450 -8994645 -8960520 -3960420 -666345 -1161000 -3266100 -3347100 -1481850 -239850 -135000 -384750 -401625 -182250 -30375", "new_number": "6.26", "id": 410, "operator_tex": "43^{2} \\theta^4-43 x\\left(830\\theta^4+1750\\theta^3+1434\\theta^2+559\\theta+86\\right)-x^{2}\\left(1342738\\theta^3+368510+1383525\\theta+354697\\theta^4+2007703\\theta^2\\right)-x^{3}\\left(2348230+6951423\\theta+774028\\theta^4+3928308\\theta^3+7763518\\theta^2\\right)-3 5 x^{4}\\left(44423\\theta^4+264028\\theta^3+597368\\theta^2+599643\\theta+221430\\right)-2 3^{2} 5^{2} x^{5}(\\theta+2)(\\theta+1)(533\\theta^2+1694\\theta+1290)-3^{3} 5^{3} x^{6}(3\\theta+5)(3\\theta+4)(\\theta+2)(\\theta+1)", "superseek": "58/43 1024/43", "discriminant": "6 1849 -35690 -354697 -774028 -666345 -239850 -30375", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "38ef7a13fad0ecbb53ba25dafe26b113", "dim_h": null, "inst": " 58/43 211/43 1024/43 7544/43 64880/43 642512/43 6932348/43 80121364/43 974406940/43 12346791976/43", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "-(5z+1)(27z-1)(15z+43)^2(z+1)^2", "discr_factors": "-30375, z+1/5, (z+43/15)^2, z-1/27, (z+1)^2", "dm_basis": null, "q": "0 1 -5 -16 33 -281 -4304 -47369 -595869 -8056056", "yuk": "1 58/43 1746/43 27706/43 484562/43 188606 138811986/43 2377795422/43 41022622930/43 710342686966/43", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-43/15","im":"0","approx_re":"-2.86666666667","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","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/5","im":"0","approx_re":"-0.2","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":"1/27","im":"0","approx_re":"0.037037037037","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","4/3","5/3","2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[10404*X^4, -72828*X-196962*X^2-10404-248268*X^3-126276*X^4, -1905719*X^4-7435898*X^3-11481377*X^2-8054838*X-2175150, -65375064*X-31069026*X^3-4568070*X^4-22153074-70031651*X^2, 4512344*X^4-46914039-80101802*X^2-111691663*X-9395414*X^3, 36577126+121266438*X^3+23432568*X^4+137186363*X+194777323*X^2, 69502656*X^3-1312570+57037497*X+121320734*X^2+4255715*X^4, -276276429*X-34233771*X^4-154827348*X^3-302768427*X^2-95082624, -7605*(X+1)*(1514*X^3+4164*X^2+3373*X+681), 1482975*(3*X+5)*(3*X+4)*(X+2)*(X+1)]", "text": "This is operator \"9.6\" from ...", "degz": 9, "h3": null, "sol": "1 1 17 163 2233 31901 493991 7987337 133971433 2309567473", "n_discr_factors": "2", "c3": null, "operator": "4 9 0 0 0 0 10404 -10404 -72828 -196962 -248268 -126276 -2175150 -8054838 -11481377 -7435898 -1905719 -22153074 -65375064 -70031651 -31069026 -4568070 -46914039 -111691663 -80101802 -9395414 4512344 36577126 137186363 194777323 121266438 23432568 -1312570 57037497 121320734 69502656 4255715 -95082624 -276276429 -302768427 -154827348 -34233771 -5179005 -30830670 -57318885 -43181190 -11513970 59319000 169059150 176474025 80080650 13346775", "new_number": "9.6", "id": 545, "operator_tex": "2^{2} 3^{2} 17^{2} \\theta^4-2 3 17 x\\left(1238\\theta^4+2434\\theta^3+1931\\theta^2+714\\theta+102\\right)-x^{2}\\left(1905719\\theta^4+7435898\\theta^3+11481377\\theta^2+8054838\\theta+2175150\\right)-x^{3}\\left(65375064\\theta+31069026\\theta^3+4568070\\theta^4+22153074+70031651\\theta^2\\right)+x^{4}\\left(4512344\\theta^4-46914039-80101802\\theta^2-111691663\\theta-9395414\\theta^3\\right)+x^{5}\\left(36577126+121266438\\theta^3+23432568\\theta^4+137186363\\theta+194777323\\theta^2\\right)+x^{6}\\left(69502656\\theta^3-1312570+57037497\\theta+121320734\\theta^2+4255715\\theta^4\\right)-3 13 x^{7}\\left(877789\\theta^4+3969932\\theta^3+7763293\\theta^2+7084011\\theta+2438016\\right)-3^{2} 5 13^{2} x^{8}(\\theta+1)(1514\\theta^3+4164\\theta^2+3373\\theta+681)+3^{3} 5^{2} 13^{3} x^{9}(3\\theta+5)(3\\theta+4)(\\theta+2)(\\theta+1)", "superseek": "95/102 1421/102", "discriminant": "9 10404 -126276 -1905719 -4568070 4512344 23432568 4255715 -34233771 -11513970 13346775", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "04982735f3d6178049251771352a0277", "dim_h": null, "inst": " 95/102 58/17 1421/102 1451/17 31474/51 527893/102 4797095/102 23374000/51 239495219/51 5114772611/102", "cleanlist": "True", "n_sing_real": "6", "sol_explicit": "", "n_sing_rational": "1", "n_sing": "8", "laurent": null, "discriminant_tex": "(1-12z-181z^2-510z^3-328z^4+351z^5)(-102+7z+195z^2)^2", "discr_factors": "13346775, (-34/65+7/195*z+z^2)^2, 1/351-4/117*z-181/351*z^2-170/117*z^3-328/351*z^4+z^5", "dm_basis": null, "q": "0 1 -3 -20 -2 -15 -1773 -20775 -207437 -2305621", "yuk": "1 95/102 2879/102 19231/51 560063/102 2622865/34 57033067/51 822701840/51 7978512021/34 174592033882/51", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-7/390-1/390*79609^(1/2)","im":"0","approx_re":"-0.741412","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":"-7/390+1/390*79609^(1/2)","im":"0","approx_re":"0.705515","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"#ND","im":"#ND","approx_re":"#ND","approx_im":"#ND","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","4/3","5/3","2"],"monodromy":[],"monodromy_dm":[]}]}]}