{"count": 9, "status":"OK", "data":[{"pols": "[X^4, -13*X^4-14*X^3-16*X^2-9*X-2, 33*X^4-88*X^3-265*X^2-324*X-148, 217*X^4+2362*X^3+6403*X^2+8178*X+4160, -1354*X^4-8268*X^3-16178*X^2-12420*X-720, 1812*X^4-15192*X^3-139320*X^2-347460*X-301320, 7580*X^4+149208*X^3+707964*X^2+1423392*X+1075344, -38540*X^4-356680*X^3-743540*X^2+429576*X+2089856, 47256*X^4-85088*X^3-3329000*X^2-13330608*X-16415360, 94304*X^4+2569088*X^3+16637888*X^2+42511200*X+38564800, -391808*X^4-5430528*X^3-25443520*X^2-46255680*X-22811520, 433728*X^4+2572416*X^3-8937408*X^2-87598848*X-152957952, 1152*(X+4)*(371*X^3+8580*X^2+53325*X+101564), -27648*(X+4)*(X+5)*(51*X^2+519*X+1330), 829440*(X+4)*(X+5)^2*(X+6)]", "text": "This is operator \"14.1\" from ...", "degz": 14, "h3": null, "sol": "1 2 16 48 264 1008 5008 21824 106792 500496", "n_discr_factors": "9", "c3": null, "operator": "4 14 0 0 0 0 1 -2 -9 -16 -14 -13 -148 -324 -265 -88 33 4160 8178 6403 2362 217 -720 -12420 -16178 -8268 -1354 -301320 -347460 -139320 -15192 1812 1075344 1423392 707964 149208 7580 2089856 429576 -743540 -356680 -38540 -16415360 -13330608 -3329000 -85088 47256 38564800 42511200 16637888 2569088 94304 -22811520 -46255680 -25443520 -5430528 -391808 -152957952 -87598848 -8937408 2572416 433728 468006912 362723328 100967040 11593728 427392 -735436800 -617932800 -194116608 -27039744 -1410048 497664000 406425600 123586560 16588800 829440", "new_number": "14.1", "id": 380, "operator_tex": "\\theta^4-x\\left(13\\theta^4+14\\theta^3+16\\theta^2+9\\theta+2\\right)+x^{2}\\left(33\\theta^4-88\\theta^3-265\\theta^2-324\\theta-148\\right)+x^{3}\\left(217\\theta^4+2362\\theta^3+6403\\theta^2+8178\\theta+4160\\right)-2 x^{4}\\left(677\\theta^4+4134\\theta^3+8089\\theta^2+6210\\theta+360\\right)+2^{2} 3 x^{5}\\left(151\\theta^4-1266\\theta^3-11610\\theta^2-28955\\theta-25110\\right)+2^{2} x^{6}\\left(1895\\theta^4+37302\\theta^3+176991\\theta^2+355848\\theta+268836\\right)-2^{2} x^{7}\\left(9635\\theta^4+89170\\theta^3+185885\\theta^2-107394\\theta-522464\\right)+2^{3} x^{8}\\left(5907\\theta^4-10636\\theta^3-416125\\theta^2-1666326\\theta-2051920\\right)+2^{5} x^{9}\\left(2947\\theta^4+80284\\theta^3+519934\\theta^2+1328475\\theta+1205150\\right)-2^{6} x^{10}\\left(6122\\theta^4+84852\\theta^3+397555\\theta^2+722745\\theta+356430\\right)+2^{6} 3 x^{11}\\left(2259\\theta^4+13398\\theta^3-46549\\theta^2-456244\\theta-796656\\right)+2^{7} 3^{2} x^{12}(\\theta+4)(371\\theta^3+8580\\theta^2+53325\\theta+101564)-2^{10} 3^{3} x^{13}(\\theta+4)(\\theta+5)(51\\theta^2+519\\theta+1330)+2^{11} 3^{4} 5 x^{14}(\\theta+4)(\\theta+5)^2(\\theta+6)", "superseek": "0 0", "discriminant": "14 1 -13 33 217 -1354 1812 7580 -38540 47256 94304 -391808 433728 427392 -1410048 829440", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "a8cf56492aecc07971e82c9104785180", "dim_h": null, "inst": " 0 1/4 0 -1/2 0 28/9 0 -14 0 2223/20", "cleanlist": "True", "n_sing_real": "9", "sol_explicit": "", "n_sing_rational": "9", "n_sing": "11", "laurent": null, "discriminant_tex": "(z-1)(6z-1)(4z-1)(3z+1)(4z+1)(5z-1)(2z+1)^2(2z-1)^2(6z^2-2z+1)^2", "discr_factors": "829440, z+1/4, z-1/4, z-1/6, (z-1/2)^2, (z^2-1/3*z+1/6)^2, z-1, (z+1/2)^2, z-1/5, z+1/3", "dm_basis": null, "q": "0 1 -1 -5 11 26 -99 -146 871 717", "yuk": "1 0 2 0 -30 0 674 0 -7198 0", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/2","im":"0","approx_re":"-0.5","approx_im":"0.0","exponents":["0","0","-1","1"],"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":"-1/4","im":"0","approx_re":"-0.25","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":"1/6","im":"-1/6*5^(1/2)","approx_re":"0.166666666667","approx_im":"-0.372678","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/6","im":"0","approx_re":"0.166666666667","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/6","im":"1/6*5^(1/2)","approx_re":"0.166666666667","approx_im":"0.372678","exponents":["0","1","3","4"],"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":"1/4","im":"0","approx_re":"0.25","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","0","-1","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1","im":"0","approx_re":"1.0","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":["4","5","5","6"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 11*X+26*X^3+2+13*X^4+24*X^2, -(141*X^2+282*X+296)*(X+1)^2, -2*(X+2)*(X+1)*(407*X^2+1221*X+654), 28*(X+3)*(X+1)*(389*X^2+1556*X+1460), -1176*(X+4)*(X+1)*(29*X^2+145*X+166), 32928*(X+5)*(X+4)*(X+2)*(X+1)]", "text": "This is operator \"6.20\" from ...", "degz": 6, "h3": null, "sol": "1 -2 28 -224 2464 -26432 302344 -3527456 42147088 -511729568", "n_discr_factors": "4", "c3": null, "operator": "4 6 0 0 0 0 1 2 11 24 26 13 -296 -874 -1001 -564 -141 -2616 -8808 -10262 -4884 -814 122640 294224 247828 87136 10892 -780864 -1658160 -1184232 -341040 -34104 1317120 2568384 1613472 395136 32928", "new_number": "6.20", "id": 404, "operator_tex": "\\theta^4+x\\left(11\\theta+26\\theta^3+2+13\\theta^4+24\\theta^2\\right)-x^{2}(141\\theta^2+282\\theta+296)(\\theta+1)^2-2 x^{3}(\\theta+2)(\\theta+1)(407\\theta^2+1221\\theta+654)+2^{2} 7 x^{4}(\\theta+3)(\\theta+1)(389\\theta^2+1556\\theta+1460)-2^{3} 3 7^{2} x^{5}(\\theta+4)(\\theta+1)(29\\theta^2+145\\theta+166)+2^{5} 3 7^{3} x^{6}(\\theta+5)(\\theta+4)(\\theta+2)(\\theta+1)", "superseek": "0 -1/3", "discriminant": "6 1 13 -141 -814 10892 -34104 32928", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "5169c67af7361bf7e6467dabea9612bd", "dim_h": null, "inst": " 0 1/2 -1/3 -1 -2 124/9 -69/7 -62 -737/3 2927/2", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "6", "laurent": null, "discriminant_tex": "(-1+2z)(4z-1)(21z^2-9z+1)(1+14z)^2", "discr_factors": "32928, (1/14+z)^2, -1/2+z, z^2-3/7*z+1/21, z-1/4", "dm_basis": null, "q": "0 1 3 -17 -83 370 2223 -7945 -58549 168838", "yuk": "1 0 4 -9 -60 -250 2971 -3381 -31804 -179100", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/14","im":"0","approx_re":"-0.0714285714286","approx_im":"0.0","exponents":["0","1/2","1/2","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":"3/14","im":"-1/42*3^(1/2)","approx_re":"0.214285714286","approx_im":"-0.041239","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"3/14","im":"1/42*3^(1/2)","approx_re":"0.214285714286","approx_im":"0.041239","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/4","im":"0","approx_re":"0.25","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","4","5"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 27+132*X+258*X^2+252*X^3+261*X^4, 12582+47520*X+73764*X^2+58104*X^3+29106*X^4, 1986768+6507054*X+8543394*X^2+5552064*X^3+1797714*X^4, 151397262+448488090*X+515524014*X^2+281458152*X^3+66412629*X^4, 6111709281+16709489190*X+17145782568*X^2+7984605780*X^3+1467308601*X^4, 1771470*(2*X+3)*(5066*X^3+26325*X^2+44815*X+23766), 23436548100*(X+1)*(2*X+5)*(2*X+3)*(X+3)]", "text": "This is operator \"7.17\" from ...", "degz": 7, "h3": null, "sol": "1 -27 783 -23481 717903 -22219677 693312669 -21750039891 684693321327 -21597894376101", "n_discr_factors": "4", "c3": null, "operator": "4 7 0 0 0 0 1 27 132 258 252 261 12582 47520 73764 58104 29106 1986768 6507054 8543394 5552064 1797714 151397262 448488090 515524014 281458152 66412629 6111709281 16709489190 17145782568 7984605780 1467308601 126302268060 322366796190 298678699350 120190696560 17948534040 1054644664500 2531147194800 2132725877100 749969539200 93746192400", "new_number": "7.17", "id": 439, "operator_tex": "\\theta^4+3 x\\left(87\\theta^4+84\\theta^3+86\\theta^2+44\\theta+9\\right)+2 3^{3} x^{2}\\left(539\\theta^4+1076\\theta^3+1366\\theta^2+880\\theta+233\\right)+2 3^{5} x^{3}\\left(3699\\theta^4+11424\\theta^3+17579\\theta^2+13389\\theta+4088\\right)+3^{7} x^{4}\\left(30367\\theta^4+128696\\theta^3+235722\\theta^2+205070\\theta+69226\\right)+3^{9} x^{5}\\left(74547\\theta^4+405660\\theta^3+871096\\theta^2+848930\\theta+310507\\right)+2 3^{11} 5 x^{6}(2\\theta+3)(5066\\theta^3+26325\\theta^2+44815\\theta+23766)+2^{2} 3^{14} 5^{2} 7^{2} x^{7}(\\theta+1)(2\\theta+5)(2\\theta+3)(\\theta+3)", "superseek": "0 18", "discriminant": "7 1 261 29106 1797714 66412629 1467308601 17948534040 93746192400", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "c248fd7c807d0aae71ef687a9ee40c80", "dim_h": null, "inst": " 0 -27/2 18 -999/2 1566 -63197/2 145800 -5170527/2 46391668/3 -249533325", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "6", "laurent": null, "discriminant_tex": "(27z+1)(1323z^2+72z+1)(36z+1)^2(45z+1)^2", "discr_factors": "93746192400, (z+1/36)^2, z^2+8/147*z+1/1323, z+1/27, (z+1/45)^2", "dm_basis": null, "q": "0 1 24 522 10670 210759 4055238 76621037 1426709406 26268081381", "yuk": "1 0 -108 486 -32076 195750 -6824898 50009400 -1323686988 11273175810", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/27","im":"0","approx_re":"-0.037037037037","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/36","im":"0","approx_re":"-0.0277777777778","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-4/147","im":"-1/441*3^(1/2)","approx_re":"-0.0272108843537","approx_im":"-0.003928","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-4/147","im":"1/441*3^(1/2)","approx_re":"-0.0272108843537","approx_im":"0.003928","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/45","im":"0","approx_re":"-0.0222222222222","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":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","3/2","5/2","3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, X*(3*X^3-6*X^2-4*X-1), -211*X^4-856*X^3-1433*X^2-1184*X-384, -1522*X^4-6576*X^3-12954*X^2-13308*X-5400, 4*(X+1)*(2013*X^3+17379*X^2+40726*X+28548), 8*(X+1)*(15719*X^3+126105*X^2+325408*X+269508), 288*(X+1)*(X+2)*(1817*X^2+11967*X+19631), 10368*(X+3)*(X+2)*(X+1)*(89*X+350), 594432*(X+1)*(X+2)*(X+3)*(X+4)]", "text": "This is operator \"8.54\" from ...", "degz": 8, "h3": null, "sol": "1 0 24 72 1296 8640 103560 932400 10135440 102291840", "n_discr_factors": "5", "c3": null, "operator": "4 8 0 0 0 0 1 0 -1 -4 -6 3 -384 -1184 -1433 -856 -211 -5400 -13308 -12954 -6576 -1522 114192 277096 232420 77568 8052 2156064 4759328 3612104 1134592 125752 11307456 23854176 17039808 5016384 523296 21772800 45453312 31923072 9165312 922752 14266368 29721600 20805120 5944320 594432", "new_number": "8.54", "id": 501, "operator_tex": "\\theta^4+x\\theta(3\\theta^3-6\\theta^2-4\\theta-1)-x^{2}\\left(211\\theta^4+856\\theta^3+1433\\theta^2+1184\\theta+384\\right)-2 x^{3}\\left(761\\theta^4+3288\\theta^3+6477\\theta^2+6654\\theta+2700\\right)+2^{2} x^{4}(\\theta+1)(2013\\theta^3+17379\\theta^2+40726\\theta+28548)+2^{3} x^{5}(\\theta+1)(15719\\theta^3+126105\\theta^2+325408\\theta+269508)+2^{5} 3^{2} x^{6}(\\theta+1)(\\theta+2)(1817\\theta^2+11967\\theta+19631)+2^{7} 3^{4} x^{7}(\\theta+3)(\\theta+2)(\\theta+1)(89\\theta+350)+2^{9} 3^{3} 43 x^{8}(\\theta+1)(\\theta+2)(\\theta+3)(\\theta+4)", "superseek": "0 1/3", "discriminant": "8 1 3 -211 -1522 8052 125752 523296 922752 594432", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "bb80872017d0578a4ae56172666b807c", "dim_h": null, "inst": " 0 1/2 1/3 -1 2 493/36 69/7 -62 737/3 1463", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "7", "laurent": null, "discriminant_tex": "(4z+1)(6z+1)(43z^2+13z+1)(2z+1)^2(12z-1)^2", "discr_factors": "594432, z+1/6, z^2+13/43*z+1/43, (z-1/12)^2, z+1/4, (z+1/2)^2", "dm_basis": null, "q": "0 1 -1 -25 5 730 631 -20569 -40309 559198", "yuk": "1 0 4 9 -60 250 2971 3381 -31804 179100", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/2","im":"0","approx_re":"-0.5","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/4","im":"0","approx_re":"-0.25","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/6","im":"0","approx_re":"-0.166666666667","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-13/86","im":"-1/86*3^(1/2)","approx_re":"-0.151162790698","approx_im":"-0.02014","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-13/86","im":"1/86*3^(1/2)","approx_re":"-0.151162790698","approx_im":"0.02014","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":"1/12","im":"0","approx_re":"0.0833333333333","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","2","3","4"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -512*X^4-256*X^3-224*X^2-96*X-16, 88064*X^4+180224*X^3+188416*X^2+77824*X+13312, -3997696*X^4-33423360*X^3-40632320*X^2-21430272*X-4456448, -461373440*X^4+1090519040*X^3+3951034368*X^2+2550136832*X+591396864, 47513075712*X^4+144955146240*X^3-44694503424*X^2-82543902720*X-26642219008, 575525617664*X^4-6597069766656*X^3-6390911336448*X^2-2113123909632*X-124554051584, -100330436034560*X^4-233646220902400*X^3-230897441832960*X^2-114074331381760*X-23364622090240, -439804651110400*(X+1)^4]", "text": "This is operator \"8.64\" from ...", "degz": 8, "h3": null, "sol": "1 16 272 -15104 -2814704 -264611584 -16376176384 -267584155648 101539591200016 18215778428313856", "n_discr_factors": "3", "c3": null, "operator": "4 8 0 0 0 0 1 -16 -96 -224 -256 -512 13312 77824 188416 180224 88064 -4456448 -21430272 -40632320 -33423360 -3997696 591396864 2550136832 3951034368 1090519040 -461373440 -26642219008 -82543902720 -44694503424 144955146240 47513075712 -124554051584 -2113123909632 -6390911336448 -6597069766656 575525617664 -23364622090240 -114074331381760 -230897441832960 -233646220902400 -100330436034560 -439804651110400 -1759218604441600 -2638827906662400 -1759218604441600 -439804651110400", "new_number": "8.64", "id": 512, "operator_tex": "\\theta^4-2^{4} x\\left(32\\theta^4+16\\theta^3+14\\theta^2+6\\theta+1\\right)+2^{10} x^{2}\\left(86\\theta^4+176\\theta^3+184\\theta^2+76\\theta+13\\right)-2^{16} x^{3}\\left(61\\theta^4+510\\theta^3+620\\theta^2+327\\theta+68\\right)-2^{22} x^{4}\\left(110\\theta^4-260\\theta^3-942\\theta^2-608\\theta-141\\right)+2^{26} x^{5}\\left(708\\theta^4+2160\\theta^3-666\\theta^2-1230\\theta-397\\right)+2^{32} x^{6}\\left(134\\theta^4-1536\\theta^3-1488\\theta^2-492\\theta-29\\right)-2^{38} 5 x^{7}\\left(73\\theta^4+170\\theta^3+168\\theta^2+83\\theta+17\\right)-2^{44} 5^{2} x^{8}\\left((\\theta+1)^4\\right)", "superseek": "0 -32768", "discriminant": "8 1 -512 88064 -3997696 -461373440 47513075712 575525617664 -100330436034560 -439804651110400", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "00b5810e4a2d21fec464e4e87169df86", "dim_h": null, "inst": " 0 -1116 -32768 -2011784 -92274688 -5281675308 -281181421568 -17208628462728 -1097313761525760 -78166610255616308", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "7", "laurent": null, "discriminant_tex": "-(64z-1)(65536z^3+14336z^2-192z+1)(-1+128z+10240z^2)^2", "discr_factors": "-439804651110400, (-1/10240+1/80*z+z^2)^2, z^3+7/32*z^2-3/1024*z+1/65536, z-1/64", "dm_basis": null, "q": "0 1 -32 1888 -22528 4272688 59175936 13148885504 494941700096 51752657480344", "yuk": "1 0 -8928 -884736 -128763104 -11534336000 -1140842760192 -96445227597824 -8810817901679840 -799941732153163776", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/192*(3554+66*33^(1/2))^(1/3)-29/24/(3554+66*33^(1/2))^(1/3)-7/96","im":"0","approx_re":"-0.23168","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/160-1/320*14^(1/2)","im":"0","approx_re":"-0.017943","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":"-1/160+1/320*14^(1/2)","im":"0","approx_re":"0.005443","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/384*(3554+66*33^(1/2))^(1/3)+29/48/(3554+66*33^(1/2))^(1/3)-7/96","im":"1/64*3^(1/2)*(-1/6*(3554+66*33^(1/2))^(1/3)+116/3/(3554+66*33^(1/2))^(1/3))","approx_re":"0.006465","approx_im":"-0.004906","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/384*(3554+66*33^(1/2))^(1/3)+29/48/(3554+66*33^(1/2))^(1/3)-7/96","im":"-1/64*3^(1/2)*(-1/6*(3554+66*33^(1/2))^(1/3)+116/3/(3554+66*33^(1/2))^(1/3))","approx_re":"0.006465","approx_im":"0.004906","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/64","im":"0","approx_re":"0.015625","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","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -X*(3*X^3-6*X^2-4*X-1), -211*X^4-856*X^3-1433*X^2-1184*X-384, 1522*X^4+6576*X^3+12954*X^2+13308*X+5400, 4*(X+1)*(2013*X^3+17379*X^2+40726*X+28548), -8*(X+1)*(15719*X^3+126105*X^2+325408*X+269508), 288*(X+1)*(X+2)*(1817*X^2+11967*X+19631), -10368*(X+3)*(X+2)*(X+1)*(89*X+350), 594432*(X+1)*(X+2)*(X+3)*(X+4)]", "text": "This is operator \"8.82\" from ...", "degz": 8, "h3": null, "sol": "1 0 24 -72 1296 -8640 103560 -932400 10135440 -102291840", "n_discr_factors": "5", "c3": null, "operator": "4 8 0 0 0 0 1 0 1 4 6 -3 -384 -1184 -1433 -856 -211 5400 13308 12954 6576 1522 114192 277096 232420 77568 8052 -2156064 -4759328 -3612104 -1134592 -125752 11307456 23854176 17039808 5016384 523296 -21772800 -45453312 -31923072 -9165312 -922752 14266368 29721600 20805120 5944320 594432", "new_number": "8.82", "id": 532, "operator_tex": "\\theta^4-x\\theta(3\\theta^3-6\\theta^2-4\\theta-1)-x^{2}\\left(211\\theta^4+856\\theta^3+1433\\theta^2+1184\\theta+384\\right)+2 x^{3}\\left(761\\theta^4+3288\\theta^3+6477\\theta^2+6654\\theta+2700\\right)+2^{2} x^{4}(\\theta+1)(2013\\theta^3+17379\\theta^2+40726\\theta+28548)-2^{3} x^{5}(\\theta+1)(15719\\theta^3+126105\\theta^2+325408\\theta+269508)+2^{5} 3^{2} x^{6}(\\theta+1)(\\theta+2)(1817\\theta^2+11967\\theta+19631)-2^{7} 3^{4} x^{7}(\\theta+3)(\\theta+2)(\\theta+1)(89\\theta+350)+2^{9} 3^{3} 43 x^{8}(\\theta+1)(\\theta+2)(\\theta+3)(\\theta+4)", "superseek": "0 -1/3", "discriminant": "8 1 -3 -211 1522 8052 -125752 523296 -922752 594432", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "8bab1ddc8b31cb2c21f01402f27895ce", "dim_h": null, "inst": " 0 1/2 -1/3 -1 -2 124/9 -69/7 -62 -737/3 2927/2", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "7", "laurent": null, "discriminant_tex": "(6z-1)(4z-1)(43z^2-13z+1)(12z+1)^2(-1+2z)^2", "discr_factors": "594432, (z+1/12)^2, (-1/2+z)^2, z-1/6, z-1/4, z^2-13/43*z+1/43", "dm_basis": null, "q": "0 1 1 -25 -5 730 -631 -20569 40309 559198", "yuk": "1 0 4 -9 -60 -250 2971 -3381 -31804 -179100", "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":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"13/86","im":"-1/86*3^(1/2)","approx_re":"0.151162790698","approx_im":"-0.02014","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"13/86","im":"1/86*3^(1/2)","approx_re":"0.151162790698","approx_im":"0.02014","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/6","im":"0","approx_re":"0.166666666667","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","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/2","im":"0","approx_re":"0.5","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","2","3","4"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -1080*X^4-108*X^3+108*X^2+162*X+54, 607796*X^4-57016*X^3-280716*X^2-170380*X-24864, -231759792*X^4+94404096*X^3+206143920*X^2+64618776*X-13611240, 65227123968*X^4-48564192768*X^3-72099465040*X^2-8122273840*X+11596005984, -14066373012480*X^4+15195333003264*X^3+13999572187200*X^2-1687316230656*X-3282545328192, 2359816716720128*X^4-3290695102746624*X^3-1528486967623936*X^2+843457210205952*X+458342842795776, -27899909581049856-158500070146934784*X+74461221541942272*X^2+509776698302005248*X^3-307095565445406720*X^4, 30422938491488960512*X^4-56950223173721391104*X^3+2252759436976885760*X^2+17467780737296838656*X-803082528013074432, -2214843187307211915264*X^4+4610937478802466668544*X^3-508085941259030446080*X^2-1211755384935017938944*X+266244995514218692608, -19224668449399085531136+53196928087690737156096*X+21013167072375093657600*X^2-273629387456451706355712*X^3+111058393005347629694976*X^4, -3268770702689219367665664*X^4+12147398436951383819157504*X^3+434303782324614709641216*X^2-1574875925775946403020800*X+727482384391255017652224, 19397619377463692818907136*X^4-403354081997251933655531520*X^3-47495566182530791099072512*X^2+45502562207831923164708864*X-21912310182848197400985600, 2180210994862646014186094592*X^4+8651143024324447900614524928*X^3-1078411184992932449715486720*X^2-1904418975224600987713929216*X+514185729032199203129917440, -229256481029845155840*X*(269358010*X^3+131761607*X^2-826543489*X-380205376), -30702027939516863270092800*X*(X+1)*(1997*X^2+119865*X+91208), 16446462326640393316523311104000*X*(X+2)*(X+1)^2]", "text": "This is operator \"16.1\" from ...", "degz": 16, "h3": null, "sol": "1 -54 -1362 -73548 -4170906 -246754836 -13172025396 -427220212248 35101755954198 10995363622275516", "n_discr_factors": null, "c3": null, "operator": "4 16 0 0 0 0 1 54 162 108 -108 -1080 -24864 -170380 -280716 -57016 607796 -13611240 64618776 206143920 94404096 -231759792 11596005984 -8122273840 -72099465040 -48564192768 65227123968 -3282545328192 -1687316230656 13999572187200 15195333003264 -14066373012480 458342842795776 843457210205952 -1528486967623936 -3290695102746624 2359816716720128 -27899909581049856 -158500070146934784 74461221541942272 509776698302005248 -307095565445406720 -803082528013074432 17467780737296838656 2252759436976885760 -56950223173721391104 30422938491488960512 266244995514218692608 -1211755384935017938944 -508085941259030446080 4610937478802466668544 -2214843187307211915264 -19224668449399085531136 53196928087690737156096 21013167072375093657600 -273629387456451706355712 111058393005347629694976 727482384391255017652224 -1574875925775946403020800 434303782324614709641216 12147398436951383819157504 -3268770702689219367665664 -21912310182848197400985600 45502562207831923164708864 -47495566182530791099072512 -403354081997251933655531520 19397619377463692818907136 514185729032199203129917440 -1904418975224600987713929216 -1078411184992932449715486720 8651143024324447900614524928 2180210994862646014186094592 0 87164546570389144697925795840 189490451706270528237742325760 -30207202355657412694643834880 -61752069509801841785202278400 0 -2800270564307454065138624102400 -6480369143277642881008297574400 -3741410528765403991820048793600 -61311949795215175950375321600 0 32892924653280786633046622208000 82232311633201966582616555520000 65785849306561573266093244416000 16446462326640393316523311104000", "new_number": "16.1", "id": 570, "operator_tex": "\\theta^4-2 3^{3} x\\left(20\\theta^4+2\\theta^3-2\\theta^2-3\\theta-1\\right)+2^{2} x^{2}\\left(151949\\theta^4-14254\\theta^3-70179\\theta^2-42595\\theta-6216\\right)-2^{3} 3^{3} x^{3}\\left(1072962\\theta^4-437056\\theta^3-954370\\theta^2-299161\\theta+63015\\right)+2^{4} x^{4}\\left(4076695248\\theta^4-3035262048\\theta^3-4506216565\\theta^2-507642115\\theta+724750374\\right)-2^{6} 3^{3} x^{5}\\left(8140262160\\theta^4-8793595488\\theta^3-8101604275\\theta^2+976456152\\theta+1899621139\\right)+2^{8} x^{6}\\left(9218034049688\\theta^4-12854277745104\\theta^3-5970652217281\\theta^2+3294754727367\\theta+1790401729671\\right)-2^{10} 3^{3} x^{7}\\left(11107333819640\\theta^4-18438103960576\\theta^3-2693186543039\\theta^2+5732786101958\\theta+1009111312972\\right)+2^{12} x^{8}\\left(7427475217648672\\theta^4-13903863079521824\\theta^3+549990096918185\\theta^2+4264594906566611\\theta-196065070315692\\right)-2^{14} 3^{3} x^{9}\\left(5006788889131248\\theta^4-10423307017692208\\theta^3+1148559437524935\\theta^2+2739247379862508\\theta-601863144518181\\right)+2^{16} 3^{4} x^{10}\\left(20921192499862036\\theta^4-51546334623445432\\theta^3+3958462764104225\\theta^2+10021243264975981\\theta-3621545193405921\\right)-2^{18} 3^{7} x^{11}\\left(5701586950847588\\theta^4-21188224783674368\\theta^3-757538843568497\\theta^2+2746993547213600\\theta-1268918638558608\\right)+2^{23} 3^{10} x^{12}\\left(39160297802908\\theta^4-814299201549560\\theta^3-95884988762411\\theta^2+91861472904467\\theta-44237005356800\\right)+2^{28} 3^{13} x^{13}\\left(5094274414759\\theta^4+20214234618156\\theta^3-2519812312315\\theta^2-4449859616032\\theta+1201444818880\\right)-2^{35} 3^{16} 5 31 x^{14}\\theta(269358010\\theta^3+131761607\\theta^2-826543489\\theta-380205376)-2^{40} 3^{19} 5^{2} 31^{2} x^{15}\\theta(\\theta+1)(1997\\theta^2+119865\\theta+91208)+2^{47} 3^{22} 5^{3} 31^{3} x^{16}\\theta(\\theta+2)(\\theta+1)^2", "superseek": "0 0", "discriminant": null, "aesz": null, "n_sing_complex": null, "inst_int": null, "c2h": null, "hash": "ce5c5b062cf22bc8935e236748d3c341", "dim_h": null, "inst": " 0 12293/4 0 -8127101 0 41236218451 0 -276447980501616 0 4329637201512212709/2", "cleanlist": "True", "n_sing_real": null, "sol_explicit": null, "n_sing_rational": null, "n_sing": null, "laurent": null, "discriminant_tex": null, "discr_factors": null, "dm_basis": null, "q": "0 1 -54 -433 204228 850519 -1293038154 -6904309651 10578727730088 73530074294464", "yuk": "1 0 24586 0 -520109878 0 8907023210002 0 -141541366536937270 0", "gv2": null, "gv0": null, "gv1": null}, {"pols": "[3*X^4, -1200*X^4-1500*X^3-1500*X^2-750*X-150, 187740*X^4+435960*X^3+557100*X^2+354780*X+89400, -14322000*X^4-45360000*X^3-66078000*X^2-45909000*X-12219000, 532800000*X^4+1994400000*X^3+3029250000*X^2+2059950000*X+523800000, -15000000*(X+1)^2*(524*X^2+1096*X+611), 2000000000*(X+1)^2*(X+2)^2]", "text": "This is operator \"6.13\" from ...", "degz": 6, "h3": null, "sol": "1 50 3450 267500 22029250 1882312500 40070712812500/243 8582299119171875000/583443 28749442551877343750/21609 638895192146725039062500/5250987", "n_discr_factors": null, "c3": null, "operator": "4 6 0 0 0 0 3 -150 -750 -1500 -1500 -1200 89400 354780 557100 435960 187740 -12219000 -45909000 -66078000 -45360000 -14322000 523800000 2059950000 3029250000 1994400000 532800000 -9165000000 -34770000000 -49905000000 -32160000000 -7860000000 8000000000 24000000000 26000000000 12000000000 2000000000", "new_number": "6.13", "id": 583, "operator_tex": "3 \\theta^4-2 3 5^{2} x\\left(8\\theta^4+10\\theta^3+10\\theta^2+5\\theta+1\\right)+2^{2} 3 5 x^{2}\\left(3129\\theta^4+7266\\theta^3+9285\\theta^2+5913\\theta+1490\\right)-2^{3} 3 5^{3} x^{3}\\left(4774\\theta^4+15120\\theta^3+22026\\theta^2+15303\\theta+4073\\right)+2^{4} 3 5^{5} x^{4}\\left(3552\\theta^4+13296\\theta^3+20195\\theta^2+13733\\theta+3492\\right)-2^{6} 3 5^{7} x^{5}(\\theta+1)^2(524\\theta^2+1096\\theta+611)+2^{10} 5^{9} x^{6}(\\theta+1)^2(\\theta+2)^2", "superseek": "0 0", "discriminant": null, "aesz": null, "n_sing_complex": null, "inst_int": null, "c2h": null, "hash": "b7b28238d79425febad0c26d36cce7ef", "dim_h": null, "inst": " 0 165/4 0 -44335/8 0 13953739445/6561 185200000000000/2470629 48581886883225/15552 2872156814000000000000/26795786661 83062447138990159/36450", "cleanlist": "True", "n_sing_real": null, "sol_explicit": null, "n_sing_rational": null, "n_sing": null, "laurent": null, "discriminant_tex": null, "discr_factors": null, "dm_basis": null, "q": "0 1 -50 1635 -38500 687275 -9888750 87784671125/729 -24861386713175000/12252303 19044062514606250/1361367", "yuk": "1 0 330 0 -354350 0 111629995750/243 185200000000000/7203 388655008958750/243 2872156814000000000000/36756909", "gv2": null, "gv0": null, "gv1": null}, {"pols": "[X^4, -256*X^4-512*X^3-448*X^2-192*X-32, 256*(2*X+1)*(4*X+3)*(4*X+5)*(2*X+3)]", "text": "This is operator is equivalent to [2.33]. Transformation:.....", "degz": 2, "h3": null, "sol": "1 32 2160 181760 17021200 1698181632 176677611264 18937576120320 2075622689471760 231465995770380800", "n_discr_factors": "1", "c3": null, "operator": "4 2 0 0 0 0 1 -32 -192 -448 -512 -256 11520 55296 93184 65536 16384", "new_number": "2.71", "id": 614, "operator_tex": "\\theta^4-2^{5} x(2\\theta+1)^2(2\\theta^2+2\\theta+1)+2^{8} x^{2}(2\\theta+1)(4\\theta+3)(4\\theta+5)(2\\theta+3)", "superseek": "0 0", "discriminant": "2 1 -256 16384", "aesz": null, "n_sing_complex": "0", "inst_int": null, "c2h": null, "hash": "757b011780c5986bd45a5bf434c76c28", "dim_h": null, "inst": " 0 -20 0 -865 0 -67460 0 -6821070 0 -800369820", "cleanlist": "False", "n_sing_real": "2", "sol_explicit": null, "n_sing_rational": "2", "n_sing": "2", "laurent": null, "discriminant_tex": "(-1+128z)^2", "discr_factors": "16384, (-1/128+z)^2", "dm_basis": null, "q": "0 1 -64 2912 -110592 3772720 -119642112 3598125568 -103922663424 2907171436184", "yuk": "1 0 -160 0 -55520 0 -14571520 0 -3492443360 0", "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":"1/128","im":"0","approx_re":"0.0078125","approx_im":"0.0","exponents":["0","1/4","3/4","1"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","3/4","5/4","3/2"],"monodromy":[],"monodromy_dm":[]}]}]}