{"count": 2, "status":"OK", "data":[{"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":[]}]}, {"pols": "[25*X^4, -3380*X^4-4120*X^3-3710*X^2-1650*X-300, 185584*X^4+413632*X^3+501164*X^2+305480*X+76320, -5544384*X^4-17179008*X^3-25159152*X^2-18009840*X-5113440, 99910656*X^4+385357824*X^3+644136192*X^2+508886784*X+154972224, -1120960512*X^4-5065998336*X^3-9322573824*X^2-7852363776*X-2491250688, 7686586368*X^4+39154876416*X^3+77370163200*X^2+67974266880*X+22084337664, -509607936*(X+1)^2*(58*X^2+208*X+201), 48922361856*(X+1)^2*(X+2)^2]", "text": "This is operator \"8.79\" from ...", "degz": 8, "h3": null, "sol": "1 12 204 4368 112140 3300912 107091024 3718116288 135443387916 5110962695760", "n_discr_factors": "4", "c3": null, "operator": "4 8 0 0 0 0 25 -300 -1650 -3710 -4120 -3380 76320 305480 501164 413632 185584 -5113440 -18009840 -25159152 -17179008 -5544384 154972224 508886784 644136192 385357824 99910656 -2491250688 -7852363776 -9322573824 -5065998336 -1120960512 22084337664 67974266880 77370163200 39154876416 7686586368 -102431195136 -310860840960 -343985356800 -165112971264 -29557260288 195689447424 587068342272 635990704128 293534171136 48922361856", "new_number": "8.79", "id": 528, "operator_tex": "5^{2} \\theta^4-2 5 x\\left(338\\theta^4+412\\theta^3+371\\theta^2+165\\theta+30\\right)+2^{2} x^{2}\\left(46396\\theta^4+103408\\theta^3+125291\\theta^2+76370\\theta+19080\\right)-2^{4} 3 x^{3}\\left(115508\\theta^4+357896\\theta^3+524149\\theta^2+375205\\theta+106530\\right)+2^{6} 3^{2} x^{4}\\left(173456\\theta^4+669024\\theta^3+1118292\\theta^2+883484\\theta+269049\\right)-2^{11} 3^{3} x^{5}\\left(20272\\theta^4+91616\\theta^3+168594\\theta^2+142006\\theta+45053\\right)+2^{14} 3^{4} x^{6}\\left(5792\\theta^4+29504\\theta^3+58300\\theta^2+51220\\theta+16641\\right)-2^{21} 3^{5} x^{7}(\\theta+1)^2(58\\theta^2+208\\theta+201)+2^{26} 3^{6} x^{8}(\\theta+1)^2(\\theta+2)^2", "superseek": "22/5 68", "discriminant": "8 25 -3380 185584 -5544384 99910656 -1120960512 7686586368 -29557260288 48922361856", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "064e5b590dd8b6a4daa1e905fbe693c2", "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+48z)(16z-1)^2(48z-5)^2(12z-1)^3", "discr_factors": "48922361856, (z-1/12)^3, (z-1/16)^2, -1/48+z, (z-5/48)^2", "dm_basis": null, "q": "0 1 -18 233 -2988 33412 -382914 3792338 -42902088 352614016", "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":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/48","im":"0","approx_re":"0.0208333333333","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","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/12","im":"0","approx_re":"0.0833333333333","approx_im":"0.0","exponents":["0","1/2","3/2","2"],"monodromy":[],"monodromy_dm":[]},{"re":"5/48","im":"0","approx_re":"0.104166666667","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","1","2","2"],"monodromy":[],"monodromy_dm":[]}]}]}