{"count": 2, "status":"OK", "data":[{"pols": "[X^4, 264*X^4+528*X^3+586*X^2+322*X+70, 100*(X+1)^2*(228*X^2+456*X+335), 40000*(X+1)*(X+2)*(4*X+5)*(4*X+7)]", "text": "This is operator \"3.26\" from ...", "degz": 3, "h3": null, "sol": "1 -70 5650 -484900 43071250 -3910845820 360556161100 -33614244139000 3160609857375250 -299175771274607500", "n_discr_factors": "2", "c3": null, "operator": "4 3 0 0 0 0 1 70 322 586 528 264 33500 112600 147500 91200 22800 2800000 8040000 8440000 3840000 640000", "new_number": "3.26", "id": 88, "operator_tex": "\\theta^4+2 x\\left(132\\theta^4+264\\theta^3+293\\theta^2+161\\theta+35\\right)+2^{2} 5^{2} x^{2}(\\theta+1)^2(228\\theta^2+456\\theta+335)+2^{6} 5^{4} x^{3}(\\theta+1)(\\theta+2)(4\\theta+5)(4\\theta+7)", "superseek": "2 440", "discriminant": "3 1 264 22800 640000", "aesz": "407", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "c46d32ba4b3738ba34fe1e6c16e6f242", "dim_h": null, "inst": " 2 -44 440 -4844 46268 -452800 5683556 -112203980 2492707170 -48960763800", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "(64z+1)(1+100z)^2", "discr_factors": "640000, z+1/64, (1/100+z)^2", "dm_basis": null, "q": "0 1 42 1191 29348 631875 12955494 248209377 4613546472 82700284542", "yuk": "1 2 -350 11882 -310366 5783502 -97793270 1949459710 -57448748126 1817183538812", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/64","im":"0","approx_re":"-0.015625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/100","im":"0","approx_re":"-0.01","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","5/4","7/4","2"],"monodromy":[],"monodromy_dm":[]}]}, {"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":[]}]}]}