{"count": 14, "status":"OK", "data":[{"pols": "[X^4, -14-73*X-154*X^2-162*X^3-81*X^4, 3256+11390*X+15571*X^2+9876*X^3+2469*X^4, -162708-457536*X-476503*X^2-215994*X^3-35999*X^4, 2949480+7097160*X+6016050*X^2+2120880*X^3+265110*X^4, -6300*(X+4)*(X+1)*(151*X^2+755*X+850), 1323000*(X+5)*(X+4)*(X+2)*(X+1)]", "text": "This is operator \"6.17\" from ...", "degz": 6, "h3": null, "sol": "1 14 220 3800 70840 1404944 29317456 638193920 14393845480 334501958000", "n_discr_factors": "5", "c3": null, "operator": "4 6 0 0 0 0 1 -14 -73 -154 -162 -81 3256 11390 15571 9876 2469 -162708 -457536 -476503 -215994 -35999 2949480 7097160 6016050 2120880 265110 -21420000 -45801000 -32942700 -9513000 -951300 52920000 103194000 64827000 15876000 1323000", "new_number": "6.17", "id": 400, "operator_tex": "\\theta^4-x\\left(14+73\\theta+154\\theta^2+162\\theta^3+81\\theta^4\\right)+x^{2}\\left(3256+11390\\theta+15571\\theta^2+9876\\theta^3+2469\\theta^4\\right)-x^{3}\\left(162708+457536\\theta+476503\\theta^2+215994\\theta^3+35999\\theta^4\\right)+2 3 5 x^{4}\\left(8837\\theta^4+70696\\theta^3+200535\\theta^2+236572\\theta+98316\\right)-2^{2} 3^{2} 5^{2} 7 x^{5}(\\theta+4)(\\theta+1)(151\\theta^2+755\\theta+850)+2^{3} 3^{3} 5^{3} 7^{2} x^{6}(\\theta+5)(\\theta+4)(\\theta+2)(\\theta+1)", "superseek": "2 224/9", "discriminant": "6 1 -81 2469 -35999 265110 -951300 1323000", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "bbcabbebf6c04783d4ec5d0a5664f174", "dim_h": null, "inst": " 2 -4 224/9 -112 4446/5 -49628/9 46974 -341400 9101936/3 -121028712/5", "cleanlist": "True", "n_sing_real": "6", "sol_explicit": "", "n_sing_rational": "6", "n_sing": "6", "laurent": null, "discriminant_tex": "(6z-1)(14z-1)(30z-1)(21z-1)(-1+5z)^2", "discr_factors": "1323000, z-1/6, z-1/21, z-1/14, z-1/30, (-1/5+z)^2", "dm_basis": null, "q": "0 1 -17 267 -4189 65570 -1027203 16092382 -252180497 3952190541", "yuk": "1 2 -30 674 -7198 111152 -1190430 16112084 -174803998 2211771122", "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":"1/30","im":"0","approx_re":"0.0333333333333","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/21","im":"0","approx_re":"0.047619047619","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/14","im":"0","approx_re":"0.0714285714286","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":"1/5","im":"0","approx_re":"0.2","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","4","5"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -18-94*X-199*X^2-210*X^3-105*X^4, 5700+19672*X+26596*X^2+16760*X^3+4190*X^4, -387468-1074492*X-1106604*X^2-498960*X^3-83160*X^4, 9869688+23581152*X+19871352*X^2+6988032*X^3+873504*X^4, -75600*(X+4)*(X+1)*(61*X^2+305*X+345), 9525600*(X+5)*(X+4)*(X+2)*(X+1)]", "text": "This is operator \"6.18\" from ...", "degz": 6, "h3": null, "sol": "1 18 348 7320 168840 4267728 117154464 3444623424 106919286840 3460118502000", "n_discr_factors": "6", "c3": null, "operator": "4 6 0 0 0 0 1 -18 -94 -199 -210 -105 5700 19672 26596 16760 4190 -387468 -1074492 -1106604 -498960 -83160 9869688 23581152 19871352 6988032 873504 -104328000 -222642000 -159818400 -46116000 -4611600 381024000 742996800 466754400 114307200 9525600", "new_number": "6.18", "id": 401, "operator_tex": "\\theta^4-x\\left(18+94\\theta+199\\theta^2+210\\theta^3+105\\theta^4\\right)+2 x^{2}\\left(2095\\theta^4+8380\\theta^3+13298\\theta^2+9836\\theta+2850\\right)-2^{2} 3^{2} x^{3}\\left(2310\\theta^4+13860\\theta^3+30739\\theta^2+29847\\theta+10763\\right)+2^{3} 3^{3} x^{4}\\left(4044\\theta^4+32352\\theta^3+91997\\theta^2+109172\\theta+45693\\right)-2^{4} 3^{3} 5^{2} 7 x^{5}(\\theta+4)(\\theta+1)(61\\theta^2+305\\theta+345)+2^{5} 3^{5} 5^{2} 7^{2} x^{6}(\\theta+5)(\\theta+4)(\\theta+2)(\\theta+1)", "superseek": "3 64", "discriminant": "6 1 -105 4190 -83160 873504 -4611600 9525600", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "b127e33287ed87a366c178fc4678cdc4", "dim_h": null, "inst": " 3 -4 64 -253 4292 -25608 442008 -3202512 56565002 -457852636", "cleanlist": "True", "n_sing_real": "7", "sol_explicit": "", "n_sing_rational": "7", "n_sing": "7", "laurent": null, "discriminant_tex": "(6z-1)(15z-1)(14z-1)(42z-1)(18z-1)(10z-1)", "discr_factors": "9525600, z-1/18, z-1/6, z-1/10, z-1/15, z-1/14, z-1/42", "dm_basis": null, "q": "0 1 -22 452 -9472 198028 -4152896 87080620 -1827509984 38353260838", "yuk": "1 3 -29 1731 -16221 536503 -5529629 151608747 -1639702365 41235888189", "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":"1/42","im":"0","approx_re":"0.0238095238095","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/18","im":"0","approx_re":"0.0555555555556","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/15","im":"0","approx_re":"0.0666666666667","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/14","im":"0","approx_re":"0.0714285714286","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/10","im":"0","approx_re":"0.1","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":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","2","4","5"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[148035889*X^4, 579270870+2883481664*X^4+5779836014*X^2+2896354350*X+5766963328*X^3, 10113453740+28078126576*X^3+45261483340*X^2+34366713528*X+7019531644*X^4, -467468307000-105250426661*X^4-1390420827511*X^2-1329500962686*X-631502559966*X^3, -10763637186960*X-396559634060*X^4-3172477072480*X^3-9035863441700*X^2-4509263458080, -40378800*(X+4)*(X+1)*(10889*X^2+54445*X+62408), -154106568000*(X+5)*(X+4)*(X+2)*(X+1)]", "text": "This is operator \"6.19\" from ...", "degz": 6, "h3": null, "sol": "1 -90/23 13390/529 -2157300/12167 398261070/279841 -76924959180/6436343 15697219642300/148035889 -3299647253916600/3404825447 714380001747479950/78310985281 -157930557645719321100/1801152661463", "n_discr_factors": "5", "c3": null, "operator": "4 6 0 0 0 0 148035889 579270870 2896354350 5779836014 5766963328 2883481664 10113453740 34366713528 45261483340 28078126576 7019531644 -467468307000 -1329500962686 -1390420827511 -631502559966 -105250426661 -4509263458080 -10763637186960 -9035863441700 -3172477072480 -396559634060 -10079840601600 -21393495816000 -15270817993200 -4396847532000 -439684753200 -6164262720000 -12020312304000 -7551221832000 -1849278816000 -154106568000", "new_number": "6.19", "id": 402, "operator_tex": "23^{6} \\theta^4+2 23^{5} x\\left(224\\theta^4+448\\theta^3+449\\theta^2+225\\theta+45\\right)+2^{2} 23^{4} x^{2}\\left(6271\\theta^4+25084\\theta^3+40435\\theta^2+30702\\theta+9035\\right)-23^{3} x^{3}\\left(8650483\\theta^4+51902898\\theta^3+114278033\\theta^2+109271058\\theta+38421000\\right)-2^{2} 5 23^{2} x^{4}\\left(37482007\\theta^4+299856056\\theta^3+854051365\\theta^2+1017357012\\theta+426206376\\right)-2^{4} 3 5^{2} 7 11 19 23 x^{5}(\\theta+4)(\\theta+1)(10889\\theta^2+54445\\theta+62408)-2^{6} 3^{2} 5^{3} 7^{2} 11^{2} 19^{2} x^{6}(\\theta+5)(\\theta+4)(\\theta+2)(\\theta+1)", "superseek": "2/23 27/23", "discriminant": "6 148035889 2883481664 7019531644 -105250426661 -396559634060 -439684753200 -154106568000", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "38a2cec750ea75c0fd64ef0a4286a801", "dim_h": null, "inst": " 2/23 18/23 27/23 136/23 395/23 2042/23 8104/23 46008/23 222465/23 1311410/23", "cleanlist": "True", "n_sing_real": "7", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "7", "laurent": null, "discriminant_tex": "-(228z+23)(21z+23)(140z-23)(44z+23)(5225z^2+6785z+529)", "discr_factors": "-154106568000, z+23/228, z^2+1357/1045*z+529/5225, z-23/140, z+23/44, z+23/21", "dm_basis": null, "q": "0 1 90/23 1223/529 -581862/12167 -88056565/279841 -7781805910/6436343 -470424446428/148035889 -14445487366152/3404825447 96033794371589/78310985281", "yuk": "1 2/23 146/23 731/23 8850/23 49377/23 441947/23 2779674/23 23564946/23 162177716/23", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1357/2090-529/2090*5^(1/2)","im":"0","approx_re":"-1.215254","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-23/21","im":"0","approx_re":"-1.09523809524","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-23/44","im":"0","approx_re":"-0.522727272727","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-23/228","im":"0","approx_re":"-0.100877192982","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1357/2090+529/2090*5^(1/2)","im":"0","approx_re":"-0.083311","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":"23/140","im":"0","approx_re":"0.164285714286","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, 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, 6+27*X+47*X^2+40*X^3+20*X^4, -(143*X^2+286*X+120)*(X+1)^2, -18*(X+2)*(X+1)*(291*X^2+873*X+766), -540*(X+3)*(X+1)*(41*X^2+164*X+196), 5400*(X+4)*(X+1)*(29*X^2+145*X+150), 972000*(X+5)*(X+4)*(X+2)*(X+1)]", "text": "This is operator \"6.21\" from ...", "degz": 6, "h3": null, "sol": "1 -6 60 -480 5040 -42336 468456 -3906720 46352160 -367896000", "n_discr_factors": "5", "c3": null, "operator": "4 6 0 0 0 0 1 6 27 47 40 20 -120 -526 -835 -572 -143 -27576 -72792 -71406 -31428 -5238 -317520 -689040 -526500 -177120 -22140 3240000 7182000 5351400 1566000 156600 38880000 75816000 47628000 11664000 972000", "new_number": "6.21", "id": 405, "operator_tex": "\\theta^4+x\\left(6+27\\theta+47\\theta^2+40\\theta^3+20\\theta^4\\right)-x^{2}(143\\theta^2+286\\theta+120)(\\theta+1)^2-2 3^{2} x^{3}(\\theta+2)(\\theta+1)(291\\theta^2+873\\theta+766)-2^{2} 3^{3} 5 x^{4}(\\theta+3)(\\theta+1)(41\\theta^2+164\\theta+196)+2^{3} 3^{3} 5^{2} x^{5}(\\theta+4)(\\theta+1)(29\\theta^2+145\\theta+150)+2^{5} 3^{5} 5^{3} x^{6}(\\theta+5)(\\theta+4)(\\theta+2)(\\theta+1)", "superseek": "1 11", "discriminant": "6 1 20 -143 -5238 -22140 156600 972000", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "319d6b2f1541de5252840442cc6f8dcd", "dim_h": null, "inst": " 1 13/4 11 50 1674/5 11339/4 25332 231810 2188747 214734129/10", "cleanlist": "True", "n_sing_real": "6", "sol_explicit": "", "n_sing_rational": "6", "n_sing": "6", "laurent": null, "discriminant_tex": "(6z-1)(15z-1)(9z+1)(12z+1)(10z+1)^2", "discr_factors": "972000, z+1/12, z+1/9, z-1/6, (z+1/10)^2, z-1/15", "dm_basis": null, "q": "0 1 3 -28 -339 -995 8208 79253 -114261 -6614045", "yuk": "1 1 27 298 3227 41851 612630 8688877 118689947 1595596861", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/9","im":"0","approx_re":"-0.111111111111","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/10","im":"0","approx_re":"-0.1","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","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":"1/15","im":"0","approx_re":"0.0666666666667","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":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","2","4","5"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[4096*X^4, -78848*X-13312-187392*X^2-217088*X^3-108544*X^4, -11008*X^2-36096+4864*X^4-60928*X+19456*X^3, 2739264+7532928*X+7674240*X^2+573696*X^4+3442176*X^3, 2294352+3290976*X^2+133488*X^4+4620672*X+1067904*X^3, -26460*(X+4)*(X+1)*(22*X^2+110*X+123), -297675*(X+5)*(X+4)*(X+2)*(X+1)]", "text": "", "degz": 6, "h3": null, "sol": "1 13/4 489/16 25429/64 1591057/256 110743773/1024 8268378489/4096 648768717477/16384 52825253770017/65536 4426370568340141/262144", "n_discr_factors": "5", "c3": null, "operator": "4 6 0 0 0 0 4096 -13312 -78848 -187392 -217088 -108544 -36096 -60928 -11008 19456 4864 2739264 7532928 7674240 3442176 573696 2294352 4620672 3290976 1067904 133488 -13018320 -27915300 -20136060 -5821200 -582120 -11907000 -23218650 -14586075 -3572100 -297675", "new_number": "6.22", "id": 406, "operator_tex": "2^{12} \\theta^4-2^{10} x\\left(106\\theta^4+212\\theta^3+183\\theta^2+77\\theta+13\\right)+2^{8} x^{2}\\left(19\\theta^4+76\\theta^3-43\\theta^2-238\\theta-141\\right)+2^{6} 3 x^{3}\\left(2988\\theta^4+17928\\theta^3+39970\\theta^2+39234\\theta+14267\\right)+2^{4} 3^{3} x^{4}\\left(309\\theta^4+2472\\theta^3+7618\\theta^2+10696\\theta+5311\\right)-2^{2} 3^{3} 5 7^{2} x^{5}(\\theta+4)(\\theta+1)(22\\theta^2+110\\theta+123)-3^{5} 5^{2} 7^{2} x^{6}(\\theta+5)(\\theta+4)(\\theta+2)(\\theta+1)", "superseek": "5/4 35/2", "discriminant": "6 4096 -108544 4864 573696 133488 -582120 -297675", "aesz": "376", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "24fee66b67ff1a8a852f7a562f7665c1", "dim_h": null, "inst": " 5/4 57/16 35/2 459/4 3615/4 97217/12 317945/4 833711 110476691/12 1694285265/16", "cleanlist": "True", "n_sing_real": "6", "sol_explicit": "", "n_sing_rational": "6", "n_sing": "6", "laurent": null, "discriminant_tex": "-(7z+4)(5z-4)(105z-4)(9z-4)(4+3z)^2", "discr_factors": "-297675, z-4/5, (4/3+z)^2, z-4/105, z+4/7, z-4/9", "dm_basis": null, "q": "0 1 -25/4 81/16 -713/64 -73087/256 -1774713/1024 -94067023/4096 -4335269673/16384 -209855999007/65536", "yuk": "1 5/4 119/4 1895/4 29495/4 112970 7001633/4 27263785 1707469623/4 6711459452", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-4/3","im":"0","approx_re":"-1.33333333333","approx_im":"0.0","exponents":["0","1/3","2/3","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-4/7","im":"0","approx_re":"-0.571428571429","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":"4/105","im":"0","approx_re":"0.0380952380952","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"4/9","im":"0","approx_re":"0.444444444444","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"4/5","im":"0","approx_re":"0.8","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": "[594823321*X^4, -41022298*(2*X^2+2*X+1)*(152*X^2+152*X+41), -41701287760*X-46442899584*X^3-9242748108-67293543464*X^2-11610724896*X^4, 240566071968+302906697312*X^3+50484449552*X^4+675430234228*X^2+663210564780*X, -2836805694000*X^2-125333113152*X^4-3325903534272*X-1002664905216*X^3-1367276391504, 29198592*(X+4)*(X+1)*(5408*X^2+27040*X+30585), -63358930944*(X+5)*(X+4)*(X+2)*(X+1)]", "text": "This is operator \"6.23\" from ...", "degz": 6, "h3": null, "sol": "1 82/29 18498/841 5789116/24389 2183601010/707281 913152637572/20511149 409341207536124/594823321 192743090925367176/17249876309 94153052624510162322/500246412961 47322122842880605326340/14507145975869", "n_discr_factors": "3", "c3": null, "operator": "4 6 0 0 0 0 594823321 -1681914218 -9599217732 -22069996324 -24941557184 -12470778592 -9242748108 -41701287760 -67293543464 -46442899584 -11610724896 240566071968 663210564780 675430234228 302906697312 50484449552 -1367276391504 -3325903534272 -2836805694000 -1002664905216 -125333113152 3572155745280 7623314392320 5472312516864 1579059855360 157905985536 -2534357237760 -4941996613632 -3104587616256 -760307171328 -63358930944", "new_number": "6.23", "id": 407, "operator_tex": "29^{6} \\theta^4-2 29^{5} x(2\\theta^2+2\\theta+1)(152\\theta^2+152\\theta+41)-2^{2} 29^{4} x^{2}\\left(4104\\theta^4+16416\\theta^3+23786\\theta^2+14740\\theta+3267\\right)+2^{2} 29^{3} x^{3}\\left(517492\\theta^4+3104952\\theta^3+6923513\\theta^2+6798255\\theta+2465928\\right)-2^{4} 3 29^{2} x^{4}\\left(3104764\\theta^4+24838112\\theta^3+70273625\\theta^2+82389604\\theta+33870303\\right)+2^{8} 3^{2} 19 23 29 x^{5}(\\theta+4)(\\theta+1)(5408\\theta^2+27040\\theta+30585)-2^{12} 3^{4} 19^{2} 23^{2} x^{6}(\\theta+5)(\\theta+4)(\\theta+2)(\\theta+1)", "superseek": "24/29 284/29", "discriminant": "6 594823321 -12470778592 -11610724896 50484449552 -125333113152 157905985536 -63358930944", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "83e67651e4ea5ee123354c2989ff7460", "dim_h": null, "inst": " 24/29 72/29 284/29 1616/29 10632/29 81083/29 669752/29 5934668/29 1906348 536629728/29", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "6", "laurent": null, "discriminant_tex": "-(92z+29)(1195632z^3-467248z^2+548332z-24389)(24z-29)^2", "discr_factors": "-63358930944, z^3-1537/3933*z^2+137083/298908*z-24389/1195632, (z-29/24)^2, z+29/92", "dm_basis": null, "q": "0 1 -140/29 -584/841 78396/24389 -115182068/707281 -14506300576/20511149 -5471243858286/594823321 -1427106280063472/17249876309 -433784195001453154/500246412961", "yuk": "1 24/29 600/29 7692/29 104024/29 1329024/29 17522196/29 229724960/29 3038654040/29 40302110760/29", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-29/92","im":"0","approx_re":"-0.315217391304","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":"-841/47196*(3086+1242*57^(1/2))^(1/3)+89987/11799/(3086+1242*57^(1/2))^(1/3)+1537/11799","im":"0","approx_re":"0.046074","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"841/94392*(3086+1242*57^(1/2))^(1/3)-89987/23598/(3086+1242*57^(1/2))^(1/3)+1537/11799","im":"29/4*3^(1/2)*(-29/23598*(3086+1242*57^(1/2))^(1/3)-6206/11799/(3086+1242*57^(1/2))^(1/3))","approx_re":"0.172361","approx_im":"-0.642668","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"841/94392*(3086+1242*57^(1/2))^(1/3)-89987/23598/(3086+1242*57^(1/2))^(1/3)+1537/11799","im":"-29/4*3^(1/2)*(-29/23598*(3086+1242*57^(1/2))^(1/3)-6206/11799/(3086+1242*57^(1/2))^(1/3))","approx_re":"0.172361","approx_im":"0.642668","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"29/24","im":"0","approx_re":"1.20833333333","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","4","5"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[729*X^4, 1701*X^2+486+1701*X, -461214*X-142560-354780*X^3-585387*X^2-88695*X^4, -54*(X+2)*(X+1)*(4165*X^2+12495*X+11148), 36*(47961*X^2+191844*X+148643)*(X+2)^2, 3127320*(X+1)*(X+2)*(X+3)*(X+4), -11328800*(X+5)*(X+4)*(X+2)*(X+1)]", "text": "This is operator \"6.24\" from ...", "degz": 6, "h3": null, "sol": "1 -2/3 112/9 -8/27 29500/81 221368/243 12431944/729 206859616/2187 7276420876/6561 169125672520/19683", "n_discr_factors": "6", "c3": null, "operator": "4 6 0 0 0 0 729 486 1701 1701 0 0 -142560 -461214 -585387 -354780 -88695 -1203984 -3155436 -3076002 -1349460 -224910 21404592 49030128 39883068 13812768 1726596 75055680 156366000 109456200 31273200 3127320 -453152000 -883646400 -555111200 -135945600 -11328800", "new_number": "6.24", "id": 408, "operator_tex": "3^{6} \\theta^4+3^{5} x\\left(7\\theta^2+7\\theta+2\\right)-3^{4} x^{2}\\left(1095\\theta^4+4380\\theta^3+7227\\theta^2+5694\\theta+1760\\right)-2 3^{3} x^{3}(\\theta+2)(\\theta+1)(4165\\theta^2+12495\\theta+11148)+2^{2} 3^{2} x^{4}(47961\\theta^2+191844\\theta+148643)(\\theta+2)^2+2^{3} 3^{2} 5 7 17 73 x^{5}(\\theta+1)(\\theta+2)(\\theta+3)(\\theta+4)-2^{5} 5^{2} 7^{2} 17^{2} x^{6}(\\theta+5)(\\theta+4)(\\theta+2)(\\theta+1)", "superseek": "1/3 5/3", "discriminant": "6 729 0 -88695 -224910 1726596 3127320 -11328800", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "aebe18b25bf886c4483ce54370c0fcbe", "dim_h": null, "inst": " 1/3 5/6 5/3 19/3 29 281/2 702 11624/3 67528/3 272197/2", "cleanlist": "True", "n_sing_real": "7", "sol_explicit": "", "n_sing_rational": "7", "n_sing": "7", "laurent": null, "discriminant_tex": "-(7z-3)(34z-3)(17z+3)(20z+3)(10z-3)(14z+3)", "discr_factors": "-11328800, z-3/34, z-3/10, z+3/20, z-3/7, z+3/14, z+3/17", "dm_basis": null, "q": "0 1 -1/3 -134/9 -271/27 12826/81 -14446/243 -2486591/729 -11054017/2187 95735548/6561", "yuk": "1 1/3 7 136/3 1237/3 10876/3 30400 722359/3 5952725/3 49228048/3", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-3/14","im":"0","approx_re":"-0.214285714286","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-3/17","im":"0","approx_re":"-0.176470588235","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-3/20","im":"0","approx_re":"-0.15","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":"3/34","im":"0","approx_re":"0.0882352941176","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"3/10","im":"0","approx_re":"0.3","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"3/7","im":"0","approx_re":"0.428571428571","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": "[4826809*X^4, 371293*(48*X^2+48*X+11)*(3*X^2+3*X+1), -3709359875*X^2-2372390904*X^3-593097726*X^4-2673937942*X-746727345, 14315357602+3006721926*X^4+18040331556*X^3+39407714229*X+40196402077*X^2, -224349452964*X-94684236088-65701136280*X^3-187489635801*X^2-8212642035*X^4, 646009*(X+4)*(X+1)*(19935*X^2+99675*X+113198), -9877576996*(X+5)*(X+4)*(X+2)*(X+1)]", "text": "This is operator \"6.25\" from ...", "degz": 6, "h3": null, "sol": "1 -11/13 2149/169 -279167/2197 42641173/28561 -7248385151/371293 1310388232321/4826809 -248151090772379/62748517 48670657134625717/815730721 -9810688994197984823/10604499373", "n_discr_factors": "3", "c3": null, "operator": "4 6 0 0 0 0 4826809 4084223 30074733 83540925 106932384 53466192 -746727345 -2673937942 -3709359875 -2372390904 -593097726 14315357602 39407714229 40196402077 18040331556 3006721926 -94684236088 -224349452964 -187489635801 -65701136280 -8212642035 292507707128 623198422210 446594419817 128781894150 12878189415 -395103079840 -770451005688 -484001272804 -118530923952 -9877576996", "new_number": "6.25", "id": 409, "operator_tex": "13^{6} \\theta^4+13^{5} x(48\\theta^2+48\\theta+11)(3\\theta^2+3\\theta+1)-13^{4} x^{2}\\left(20766\\theta^4+83064\\theta^3+129875\\theta^2+93622\\theta+26145\\right)+13^{3} x^{3}\\left(1368558\\theta^4+8211348\\theta^3+18296041\\theta^2+17937057\\theta+6515866\\right)-13^{2} x^{4}\\left(48595515\\theta^4+388764120\\theta^3+1109406129\\theta^2+1327511556\\theta+560261752\\right)+7 13 31 229 x^{5}(\\theta+4)(\\theta+1)(19935\\theta^2+99675\\theta+113198)-2^{2} 7^{2} 31^{2} 229^{2} x^{6}(\\theta+5)(\\theta+4)(\\theta+2)(\\theta+1)", "superseek": "-11/13 -385/39", "discriminant": "6 4826809 53466192 -593097726 3006721926 -8212642035 12878189415 -9877576996", "aesz": null, "n_sing_complex": "4", "inst_int": "", "c2h": null, "hash": "47050ee8c9a3655ea77ba8df999a7459", "dim_h": null, "inst": " -11/13 131/52 -385/39 672/13 -4437/13 397921/156 -270112/13 2353504/13 -64766054/39 825009005/52", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "7", "laurent": null, "discriminant_tex": "-(28z-13)(1603z^2-559z+169)(220069z^3-108004z^2+36335z+2197)", "discr_factors": "-9877576996, z^2-559/1603*z+169/1603, z^3-3484/7099*z^2+36335/220069*z+2197/220069, z-13/28", "dm_basis": null, "q": "0 1 37/13 -2180/169 51667/2197 38821/28561 262277230/371293 -50224310787/4826809 6245705058491/62748517 -777174325267253/815730721", "yuk": "1 -11/13 251/13 -3476/13 43259/13 -554636/13 7159364/13 -92648427/13 1205037307/13 -15738154598/13", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-169/2233671954*(32597966366684222356+3566745581150056572*93^(1/2))^(1/3)+34753498/93/(32597966366684222356+3566745581150056572*93^(1/2))^(1/3)+3484/21297","im":"0","approx_re":"-0.051688","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":"559/3206","im":"-507/3206*3^(1/2)","approx_re":"0.174360573924","approx_im":"-0.273908","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"559/3206","im":"507/3206*3^(1/2)","approx_re":"0.174360573924","approx_im":"0.273908","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"169/4467343908*(32597966366684222356+3566745581150056572*93^(1/2))^(1/3)-17376749/93/(32597966366684222356+3566745581150056572*93^(1/2))^(1/3)+3484/21297","im":"13/2*3^(1/2)*(-13/2233671954*(32597966366684222356+3566745581150056572*93^(1/2))^(1/3)-2673346/93/(32597966366684222356+3566745581150056572*93^(1/2))^(1/3))","approx_re":"0.27123","approx_im":"-0.345803","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"169/4467343908*(32597966366684222356+3566745581150056572*93^(1/2))^(1/3)-17376749/93/(32597966366684222356+3566745581150056572*93^(1/2))^(1/3)+3484/21297","im":"-13/2*3^(1/2)*(-13/2233671954*(32597966366684222356+3566745581150056572*93^(1/2))^(1/3)-2673346/93/(32597966366684222356+3566745581150056572*93^(1/2))^(1/3))","approx_re":"0.27123","approx_im":"0.345803","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"13/28","im":"0","approx_re":"0.464285714286","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": "[24137569*X^4, -1155763598*X^2-549484659*X-105069418-606278939*X^4-1212557878*X^3, 25120026523*X^2+15781794076*X^3+18676464894*X+5390111256+3945448519*X^4, -91101169440*X-7008423978*X^4-93442872282*X^2-32569298904-42050543868*X^3, -426336402096*X-128976723360*X^3-364537547244*X^2-16122090420*X^4-174815457264, 3572856*(X+4)*(X+1)*(3737*X^2+18685*X+21310), -2453921568*(X+5)*(X+4)*(X+2)*(X+1)]", "text": "This is operator \"6.27\" from ...", "degz": 6, "h3": null, "sol": "1 74/17 7788/289 1036400/4913 164905648/83521 29670769824/1419857 5791052362056/24137569 1194339105635232/410338673 256246843974225120/6975757441 56648334490949377472/118587876497", "n_discr_factors": "4", "c3": null, "operator": "4 6 0 0 0 0 24137569 -105069418 -549484659 -1155763598 -1212557878 -606278939 5390111256 18676464894 25120026523 15781794076 3945448519 -32569298904 -91101169440 -93442872282 -42050543868 -7008423978 -174815457264 -426336402096 -364537547244 -128976723360 -16122090420 304550245440 647723064240 463338684648 133517628720 13351762872 -98156862720 -191405882304 -120242156832 -29447058816 -2453921568", "new_number": "6.27", "id": 411, "operator_tex": "17^{6} \\theta^4-17^{5} x\\left(427\\theta^4+854\\theta^3+814\\theta^2+387\\theta+74\\right)+17^{4} x^{2}\\left(47239\\theta^4+188956\\theta^3+300763\\theta^2+223614\\theta+64536\\right)-2 3 17^{3} x^{3}\\left(237751\\theta^4+1426506\\theta^3+3169919\\theta^2+3090480\\theta+1104868\\right)-2^{2} 3^{2} 17^{2} x^{4}\\left(1549605\\theta^4+12396840\\theta^3+35038211\\theta^2+40978124\\theta+16802716\\right)+2^{3} 3^{3} 7 17 139 x^{5}(\\theta+4)(\\theta+1)(3737\\theta^2+18685\\theta+21310)-2^{5} 3^{4} 7^{2} 139^{2} x^{6}(\\theta+5)(\\theta+4)(\\theta+2)(\\theta+1)", "superseek": "6/17 33/17", "discriminant": "6 24137569 -606278939 3945448519 -7008423978 -16122090420 13351762872 -2453921568", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "af5aea32756746d4fc4931e4da73756b", "dim_h": null, "inst": " 6/17 25/34 33/17 157/17 577/17 6115/34 15779/17 93410/17 553816/17 7017071/34", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "6", "laurent": null, "discriminant_tex": "-(28z+17)(278z-17)(8757z^2-2805z+289)(6z-17)^2", "discr_factors": "-2453921568, (z-17/6)^2, z^2-935/2919*z+289/8757, z-17/278, z+17/28", "dm_basis": null, "q": "0 1 -91/17 5102/289 -302731/4913 10341750/83521 -329009388/1419857 -26092235588/24137569 1245683926125/410338673 -360713787912586/6975757441", "yuk": "1 6/17 106/17 897/17 10154/17 4243 661417/17 5412203/17 47836074/17 403732761/17", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-17/28","im":"0","approx_re":"-0.607142857143","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":"17/278","im":"0","approx_re":"0.0611510791367","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"935/5838","im":"-289/5838*3^(1/2)","approx_re":"0.160157588215","approx_im":"-0.085742","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"935/5838","im":"289/5838*3^(1/2)","approx_re":"0.160157588215","approx_im":"0.085742","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"17/6","im":"0","approx_re":"2.83333333333","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","4","5"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[729*X^4, -14094*X-90396*X^3-45198*X^4-59292*X^2-486, -7956792*X-11699964*X^2-1930392*X^4-2105028-7721568*X^3, -353999781*X^2-333452052*X-116535348-161899398*X^3-26983233*X^4, -4081333212*X^2-4776300144*X-1971384624-180453636*X^4-1443629088*X^3, -413820*(X+4)*(X+1)*(1431*X^2+7155*X+7978), -768785600*(X+5)*(X+4)*(X+2)*(X+1)]", "text": "This is operator \"6.28\" from ...", "degz": 6, "h3": null, "sol": "1 2/3 1732/9 213524/27 37218544/81 7006664192/243 1415868331204/729 300311231577464/2187 66068988584260288/6561 14953791257213925248/19683", "n_discr_factors": "4", "c3": null, "operator": "4 6 0 0 0 0 729 -486 -14094 -59292 -90396 -45198 -2105028 -7956792 -11699964 -7721568 -1930392 -116535348 -333452052 -353999781 -161899398 -26983233 -1971384624 -4776300144 -4081333212 -1443629088 -180453636 -13205823840 -28350808200 -20474572140 -5921764200 -592176420 -30751424000 -59965276800 -37670494400 -9225427200 -768785600", "new_number": "6.28", "id": 412, "operator_tex": "3^{6} \\theta^4-2 3^{5} x\\left(93\\theta^4+186\\theta^3+122\\theta^2+29\\theta+1\\right)-2^{2} 3^{4} x^{2}\\left(5958\\theta^4+23832\\theta^3+36111\\theta^2+24558\\theta+6497\\right)-3^{3} x^{3}\\left(999379\\theta^4+5996274\\theta^3+13111103\\theta^2+12350076\\theta+4316124\\right)-2^{2} 3^{2} 11 x^{4}\\left(455691\\theta^4+3645528\\theta^3+10306397\\theta^2+12061364\\theta+4978244\\right)-2^{2} 3^{2} 5 11^{2} 19 x^{5}(\\theta+4)(\\theta+1)(1431\\theta^2+7155\\theta+7978)-2^{6} 5^{2} 11^{3} 19^{2} x^{6}(\\theta+5)(\\theta+4)(\\theta+2)(\\theta+1)", "superseek": "32/3 14279/9", "discriminant": "6 729 -45198 -1930392 -26983233 -180453636 -592176420 -768785600", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "62617eacb39580484b6f6cca4374260e", "dim_h": null, "inst": " 32/3 284/3 14279/9 118940/3 1226784 43278032 5024602976/3 208173247336/3 27259746376370/9 413303388978772/3", "cleanlist": "True", "n_sing_real": "6", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "6", "laurent": null, "discriminant_tex": "-(16z+3)(19z+3)(5225z^2+795z-9)(3+22z)^2", "discr_factors": "-768785600, (3/22+z)^2, z+3/19, z^2+159/1045*z-9/5225, z+3/16", "dm_basis": null, "q": "0 1 -50/3 -1820/9 14212/27 -2695424/81 -653711312/243 -79557433478/729 -10510820013704/2187 -1526332488750920/6561", "yuk": "1 32/3 768 128543/3 7614464/3 460044032/3 9348098517 1723438820800/3 106584710250496/3 6624118369586453/3", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-3/16","im":"0","approx_re":"-0.1875","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-159/2090-81/2090*5^(1/2)","im":"0","approx_re":"-0.162738","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-3/19","im":"0","approx_re":"-0.157894736842","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-3/22","im":"0","approx_re":"-0.136363636364","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":"-159/2090+81/2090*5^(1/2)","im":"0","approx_re":"0.010584","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": "[4826809*X^4, -269930011*X-513126926*X^4-783056937*X^2-1026253852*X^3-35644128, -12505548094*X-2991564823*X^4-18219033339*X^2-3339580608-11966259292*X^3, -85687033692*X^2-80033273892*X-27654517800-6556586192*X^4-39339517152*X^3, -73082257248-6822181184*X^4-178715601792*X-153833799392*X^2-54577449472*X^3, -4892160*(X+4)*(X+1)*(688*X^2+3440*X+3823), -632217600*(X+5)*(X+4)*(X+2)*(X+1)]", "text": "This is operator \"6.41\" from ...", "degz": 6, "h3": null, "sol": "1 96/13 49776/169 35502696/2197 30531314880/28561 29286081308736/371293 30182545572405576/4826809 32725334427012691056/62748517 36847180059107104722816/815730721 42716293180826204294438400/10604499373", "n_discr_factors": "3", "c3": null, "operator": "4 6 0 0 0 0 4826809 -35644128 -269930011 -783056937 -1026253852 -513126926 -3339580608 -12505548094 -18219033339 -11966259292 -2991564823 -27654517800 -80033273892 -85687033692 -39339517152 -6556586192 -73082257248 -178715601792 -153833799392 -54577449472 -6822181184 -74810910720 -160829760000 -116311104000 -33658060800 -3365806080 -25288704000 -49312972800 -30978662400 -7586611200 -632217600", "new_number": "6.41", "id": 413, "operator_tex": "13^{6} \\theta^4-13^{5} x\\left(1382\\theta^4+2764\\theta^3+2109\\theta^2+727\\theta+96\\right)-13^{4} x^{2}\\left(104743\\theta^4+418972\\theta^3+637899\\theta^2+437854\\theta+116928\\right)-2^{2} 13^{3} x^{3}\\left(746084\\theta^4+4476504\\theta^3+9750459\\theta^2+9107109\\theta+3146850\\right)-2^{5} 7 13^{2} x^{4}\\left(180214\\theta^4+1441712\\theta^3+4063657\\theta^2+4720932\\theta+1930533\\right)-2^{9} 3 5 7^{2} 13 x^{5}(\\theta+4)(\\theta+1)(688\\theta^2+3440\\theta+3823)-2^{13} 3^{2} 5^{2} 7^{3} x^{6}(\\theta+5)(\\theta+4)(\\theta+2)(\\theta+1)", "superseek": "161/13 26946/13", "discriminant": "6 4826809 -513126926 -2991564823 -6556586192 -6822181184 -3365806080 -632217600", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "a18253e410f284ecdac465808ec8a6e1", "dim_h": null, "inst": " 161/13 1406/13 26946/13 742982/13 25168759/13 973987380/13 41351330207/13 144558468058 89974410402897/13 4488834942620690/13", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "-(-169+18720z+22400z^2)(8z+13)^2(21z+13)^2", "discr_factors": "-632217600, (z+13/21)^2, -169/22400+117/140*z+z^2, (z+13/8)^2", "dm_basis": null, "q": "0 1 -343/13 17263/169 -2993791/2197 -2351424308/28561 -1164242338225/371293 -737964249150038/4826809 -488157663917379919/62748517 -335432257074176958656/815730721", "yuk": "1 161/13 11409/13 727703/13 47562257/13 3146095036/13 210382013031/13 14183506261162/13 962181210956305/13 65591345184439616/13", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-13/8","im":"0","approx_re":"-1.625","approx_im":"0.0","exponents":["0","0","1","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-117/280-169/560*2^(1/2)","im":"0","approx_re":"-0.844647","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-13/21","im":"0","approx_re":"-0.619047619048","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":"-117/280+169/560*2^(1/2)","im":"0","approx_re":"0.008932","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, 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": "[729*X^4, 3402*X^2+972+3402*X, -994356*X^2-243648-783432*X-150660*X^4-602640*X^3, -27*(X+2)*(X+1)*(19327*X^2+57981*X+52674), 288*(17298*X^2+69192*X+54655)*(X+2)^2, 12325104*(X+1)*(X+2)*(X+3)*(X+4), -60984968*(X+5)*(X+4)*(X+2)*(X+1)]", "text": "This is operator \"6.31\" from ...", "degz": 6, "h3": null, "sol": "1 -4/3 196/9 -604/27 83956/81 512336/243 56314756/729 1077087056/2187 53901664756/6561 1584473183216/19683", "n_discr_factors": "4", "c3": null, "operator": "4 6 0 0 0 0 729 972 3402 3402 0 0 -243648 -783432 -994356 -602640 -150660 -2844396 -7397568 -7162317 -3130974 -521829 62962560 142671744 115377120 39854592 4981824 295802496 616255200 431378640 123251040 12325104 -2439398720 -4756827504 -2988263432 -731819616 -60984968", "new_number": "6.31", "id": 416, "operator_tex": "3^{6} \\theta^4+2 3^{5} x\\left(7\\theta^2+7\\theta+2\\right)-2^{2} 3^{4} x^{2}\\left(465\\theta^4+1860\\theta^3+3069\\theta^2+2418\\theta+752\\right)-3^{3} x^{3}(\\theta+2)(\\theta+1)(19327\\theta^2+57981\\theta+52674)+2^{5} 3^{2} x^{4}(17298\\theta^2+69192\\theta+54655)(\\theta+2)^2+2^{4} 3^{2} 11 31 251 x^{5}(\\theta+1)(\\theta+2)(\\theta+3)(\\theta+4)-2^{3} 11^{2} 251^{2} x^{6}(\\theta+5)(\\theta+4)(\\theta+2)(\\theta+1)", "superseek": "2/3 13/3", "discriminant": "6 729 0 -150660 -521829 4981824 12325104 -60984968", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "fcd8db2a3ad7e58151e501b5872652df", "dim_h": null, "inst": " 2/3 5/3 13/3 59/3 119 2168/3 14128/3 100529/3 756002/3 5897236/3", "cleanlist": "True", "n_sing_real": "7", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "7", "laurent": null, "discriminant_tex": "-(11z-3)(22z+3)(1004z^2+66z-9)(251z^2-33z-9)", "discr_factors": "-60984968, z-3/11, z^2-33/251*z-9/251, z^2+33/502*z-9/1004, z+3/22", "dm_basis": null, "q": "0 1 -2/3 -221/9 -188/27 36061/81 -193226/243 -11334635/729 -18965576/2187 692410819/6561", "yuk": "1 2/3 14 353/3 3818/3 44627/3 156227 1615302 17158222 551125811/3", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-3/22","im":"0","approx_re":"-0.136363636364","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"33/502-45/502*5^(1/2)","im":"0","approx_re":"-0.134707","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-33/1004-45/1004*5^(1/2)","im":"0","approx_re":"-0.133091","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":"-33/1004+45/1004*5^(1/2)","im":"0","approx_re":"0.067354","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"33/502+45/502*5^(1/2)","im":"0","approx_re":"0.266181","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"3/11","im":"0","approx_re":"0.272727272727","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":[]}]}]}