{"count": 2, "status":"OK", "data":[{"pols": "[X^4, 4*(X^2+X+1)*(18*X^2+18*X+5), 5792*X+5392*X^2+2496*X^3+2160+624*X^4, -923776*X^2-829056*X-277056-431616*X^3-71936*X^4, -25691904-53942784*X^2-2392320*X^4-62662656*X-19138560*X^3, -451584*(X+4)*(X+1)*(62*X^2+310*X+345), -113799168*(X+5)*(X+4)*(X+2)*(X+1)]", "text": "This is operator \"6.30\" from ...", "degz": 6, "h3": null, "sol": "1 -20 480 -11264 285712 -7049280 184611840 -4663941120 124864396560 -3189771901760", "n_discr_factors": "3", "c3": null, "operator": "4 6 0 0 0 0 1 20 92 164 144 72 2160 5792 5392 2496 624 -277056 -829056 -923776 -431616 -71936 -25691904 -62662656 -53942784 -19138560 -2392320 -623185920 -1338946560 -967744512 -279982080 -27998208 -4551966720 -8876335104 -5576159232 -1365590016 -113799168", "new_number": "6.30", "id": 415, "operator_tex": "\\theta^4+2^{2} x(\\theta^2+\\theta+1)(18\\theta^2+18\\theta+5)+2^{4} x^{2}\\left(39\\theta^4+156\\theta^3+337\\theta^2+362\\theta+135\\right)-2^{6} x^{3}\\left(1124\\theta^4+6744\\theta^3+14434\\theta^2+12954\\theta+4329\\right)-2^{8} 3 7 x^{4}\\left(445\\theta^4+3560\\theta^3+10034\\theta^2+11656\\theta+4779\\right)-2^{10} 3^{2} 7^{2} x^{5}(\\theta+4)(\\theta+1)(62\\theta^2+310\\theta+345)-2^{12} 3^{4} 7^{3} x^{6}(\\theta+5)(\\theta+4)(\\theta+2)(\\theta+1)", "superseek": "4 436", "discriminant": "6 1 72 624 -71936 -2392320 -27998208 -113799168", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "bc45bbf252bff0ad05b31f8e076f64cb", "dim_h": null, "inst": " 4 71/2 436 6728 127212 5573691/2 67561060 1758612780 48269531104 2762033837149/2", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "-(-1+36z)(12z+1)^2(28z+1)^3", "discr_factors": "-113799168, (z+1/28)^3, -1/36+z, (z+1/12)^2", "dm_basis": null, "q": "0 1 12 -16 -4416 -124112 -2325888 -34700544 -514879488 -11862404456", "yuk": "1 4 288 11776 430880 15901504 601970688 23173443584 900410174240 35188488186592", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/12","im":"0","approx_re":"-0.0833333333333","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/28","im":"0","approx_re":"-0.0357142857143","approx_im":"0.0","exponents":["0","0","-1/4","1/4"],"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","im":"0","approx_re":"0.0277777777778","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","4","5"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[25*X^4, -10*X*(15+71*X+112*X^2+38*X^3), -24000-77440*X-98716*X^2-63488*X^3-17456*X^4, 118800+126720*X-74160*X^2-161280*X^3-66240*X^4, 8475840+20583936*X+17368704*X^2+6045696*X^3+707328*X^4, 41472*(X+1)*(38*X^3+74*X^2-304*X-495), -82944*(2*X+13)*(2*X+3)*(17*X+39)*(X+1), -2985984*(X+1)*(2*X+5)*(2*X+3)*(X+3)]", "text": "This is operator \"7.16\" from ...", "degz": 7, "h3": null, "sol": "1 0 60 480 16524 332640 9211920 241315200 6825804300 195543163200", "n_discr_factors": "4", "c3": null, "operator": "4 7 0 0 0 0 25 0 -150 -710 -1120 -380 -24000 -77440 -98716 -63488 -17456 118800 126720 -74160 -161280 -66240 8475840 20583936 17368704 6045696 707328 -20528640 -33136128 -9538560 4644864 1575936 -126157824 -284663808 -216566784 -63700992 -5640192 -134369280 -322486272 -271724544 -95551488 -11943936", "new_number": "7.16", "id": 438, "operator_tex": "5^{2} \\theta^4-2 5 x\\theta(15+71\\theta+112\\theta^2+38\\theta^3)-2^{2} x^{2}\\left(4364\\theta^4+15872\\theta^3+24679\\theta^2+19360\\theta+6000\\right)-2^{4} 3^{2} 5 x^{3}\\left(92\\theta^4+224\\theta^3+103\\theta^2-176\\theta-165\\right)+2^{6} 3^{2} x^{4}\\left(1228\\theta^4+10496\\theta^3+30154\\theta^2+35736\\theta+14715\\right)+2^{9} 3^{4} x^{5}(\\theta+1)(38\\theta^3+74\\theta^2-304\\theta-495)-2^{10} 3^{4} x^{6}(2\\theta+13)(2\\theta+3)(17\\theta+39)(\\theta+1)-2^{12} 3^{6} x^{7}(\\theta+1)(2\\theta+5)(2\\theta+3)(\\theta+3)", "superseek": "22/5 68", "discriminant": "7 25 -380 -17456 -66240 707328 1575936 -5640192 -11943936", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "660211ce6175f36772066594bfc33cbb", "dim_h": null, "inst": " 22/5 8 68 3292/5 38826/5 1517408/15 7418706/5 115188852/5 1132445042/3 32217796776/5", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "-(-1+36z)(12z+5)^2(12z+1)^2(4z-1)^2", "discr_factors": "-11943936, (z+5/12)^2, (z-1/4)^2, (z+1/12)^2, -1/36+z", "dm_basis": null, "q": "0 1 -6 -55 444 -2012 -40662 -48142 -5216472 -98264672", "yuk": "1 22/5 342/5 9202/5 42206 4853272/5 109262898/5 508923236 58976903254/5 1375920735232/5", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-5/12","im":"0","approx_re":"-0.416666666667","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/12","im":"0","approx_re":"-0.0833333333333","approx_im":"0.0","exponents":["0","0","1","1"],"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","im":"0","approx_re":"0.0277777777778","approx_im":"0.0","exponents":["0","1","1","2"],"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":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","3/2","5/2","3"],"monodromy":[],"monodromy_dm":[]}]}]}