{"count": 2, "status":"OK", "data":[{"pols": "[289*X^4, -8670-67337*X-236521*X^2-338368*X^3+180574*X^4, 12195324+57229956*X+95227623*X^2-97392996*X^3+14372019*X^4, -348606828+2405332584*X+12773408967*X^2+19715057046*X^3-1329790041*X^4, -435928166496-1588855377528*X-1485056132244*X^2+526315468068*X^3+1059950177784*X^4, -171432237780*(5*X+3)*(5*X+4)*(5*X+6)*(5*X+7)]", "text": "This is operator \"5.106\" from ...", "degz": 5, "h3": "68", "sol": "1 30 414 -73680 -4205250 662070780 102624757200 -1397015959680 -1568094618197250 -88599206760593100", "n_discr_factors": "2", "c3": "880", "operator": "4 5 0 0 0 0 289 -8670 -67337 -236521 -338368 180574 12195324 57229956 95227623 -97392996 14372019 -348606828 2405332584 12773408967 19715057046 -1329790041 -435928166496 -1588855377528 -1485056132244 526315468068 1059950177784 -86401847841120 -385722535005000 -621441861952500 -428580594450000 -107145148612500", "new_number": "5.106", "id": 188, "operator_tex": "17^{2} \\theta^4+17 x\\left(10622\\theta^4-19904\\theta^3-13913\\theta^2-3961\\theta-510\\right)+3^{2} x^{2}\\left(1596891\\theta^4-10821444\\theta^3+10580847\\theta^2+6358884\\theta+1355036\\right)-3^{5} x^{3}\\left(5472387\\theta^4-81131922\\theta^3-52565469\\theta^2-9898488\\theta+1434596\\right)+2^{2} 3^{8} 127 x^{4}\\left(318018\\theta^4+157911\\theta^3-445563\\theta^2-476706\\theta-130792\\right)-2^{2} 3^{12} 5 127^{2} x^{5}(5\\theta+3)(5\\theta+4)(5\\theta+6)(5\\theta+7)", "superseek": "3169/17 16293835/17", "discriminant": "5 289 180574 14372019 -1329790041 1059950177784 -107145148612500", "aesz": "360", "n_sing_complex": "2", "inst_int": "", "c2h": "20", "hash": "502b9ea354d34405e6925ab32d7f1cd2", "dim_h": "13", "inst": " 3169/17 -723497/68 16293835/17 -1870341966/17 251152956621/17 -149619526234291/68 5972572133461281/17 -1002102181825583618/17 174592809018036539989/17 -125381724314894019177405/68", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "5", "laurent": null, "discriminant_tex": "-(2278125z^3-33831z^2+182z-1)(17+6858z)^2", "discr_factors": "-107145148612500, (17/6858+z)^2, z^3-1253/84375*z^2+182/2278125*z-1/2278125", "dm_basis": null, "q": "0 1 -113 18849 -3369671 623742093 -118893275751 23213306920158 -4619950416402225 933631696850596452", "yuk": "1 3169/17 -1443825/17 439936714/17 -119703329649/17 31394119580794/17 -8079453978161994/17 2048592241777222552/17 -513076317214402142065/17 127278157774149077588695/17", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-17/6858","im":"0","approx_re":"-0.00247885680957","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":"-1/1012500*(18559157716+1778062500*109^(1/2))^(1/3)+136241/253125/(18559157716+1778062500*109^(1/2))^(1/3)+1253/253125","im":"-1/2*3^(1/2)*(1/506250*(18559157716+1778062500*109^(1/2))^(1/3)+272482/253125/(18559157716+1778062500*109^(1/2))^(1/3))","approx_re":"0.001817","approx_im":"-0.005986","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/1012500*(18559157716+1778062500*109^(1/2))^(1/3)+136241/253125/(18559157716+1778062500*109^(1/2))^(1/3)+1253/253125","im":"1/2*3^(1/2)*(1/506250*(18559157716+1778062500*109^(1/2))^(1/3)+272482/253125/(18559157716+1778062500*109^(1/2))^(1/3))","approx_re":"0.001817","approx_im":"0.005986","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/506250*(18559157716+1778062500*109^(1/2))^(1/3)-272482/253125/(18559157716+1778062500*109^(1/2))^(1/3)+1253/253125","im":"0","approx_re":"0.011217","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":["3/5","4/5","6/5","7/5"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[9*X^4, -498*X^4-960*X^3-813*X^2-333*X-54, 11155*X^4+42652*X^3+60463*X^2+36876*X+8172, -42345*X^4-210762*X^3-379953*X^2-280368*X-71388, 42168*X^4+196836*X^3+306972*X^2+197304*X+44928, -20*(5*X+3)*(5*X+4)*(5*X+6)*(5*X+7)]", "text": "This is operator \"5.94\" from ...", "degz": 5, "h3": null, "sol": "1 6 54 240 -9450 -415044 -10435824 -171870336 -635559210 82047837300", "n_discr_factors": "2", "c3": null, "operator": "4 5 0 0 0 0 9 -54 -333 -813 -960 -498 8172 36876 60463 42652 11155 -71388 -280368 -379953 -210762 -42345 44928 197304 306972 196836 42168 -10080 -45000 -72500 -50000 -12500", "new_number": "5.94", "id": 309, "operator_tex": "3^{2} \\theta^4-3 x\\left(166\\theta^4+320\\theta^3+271\\theta^2+111\\theta+18\\right)+x^{2}\\left(11155\\theta^4+42652\\theta^3+60463\\theta^2+36876\\theta+8172\\right)-3^{2} x^{3}\\left(4705\\theta^4+23418\\theta^3+42217\\theta^2+31152\\theta+7932\\right)+2^{2} 3 x^{4}\\left(3514\\theta^4+16403\\theta^3+25581\\theta^2+16442\\theta+3744\\right)-2^{2} 5 x^{5}(5\\theta+3)(5\\theta+4)(5\\theta+6)(5\\theta+7)", "superseek": "7/3 -4843/81", "discriminant": "5 9 -498 11155 -42345 42168 -12500", "aesz": "334", "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "1ab1dce2847b14dd89a8f8f48ddc7214", "dim_h": null, "inst": " 7/3 -79/12 -4843/81 -1058/3 3620/3 15985411/324 1492751/3 -438602 -2468083204/27 -1326423285", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "5", "laurent": null, "discriminant_tex": "-(3125z^3-1167z^2+54z-1)(2z-3)^2", "discr_factors": "-12500, (z-3/2)^2, z^3-1167/3125*z^2+54/3125*z-1/3125", "dm_basis": null, "q": "0 1 -13 171 -1495 14538 -135333 925799 -9220405 91492092", "yuk": "1 7/3 -151/3 -1612 -22621 452507/3 10655276 170671200 -224586845 -66638248120", "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":"-1/12500*(247398452+9487500*69^(1/2))^(1/3)-95071/3125/(247398452+9487500*69^(1/2))^(1/3)+389/3125","im":"-1/2*3^(1/2)*(1/6250*(247398452+9487500*69^(1/2))^(1/3)-190142/3125/(247398452+9487500*69^(1/2))^(1/3))","approx_re":"0.025215","approx_im":"-0.018839","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/12500*(247398452+9487500*69^(1/2))^(1/3)-95071/3125/(247398452+9487500*69^(1/2))^(1/3)+389/3125","im":"1/2*3^(1/2)*(1/6250*(247398452+9487500*69^(1/2))^(1/3)-190142/3125/(247398452+9487500*69^(1/2))^(1/3))","approx_re":"0.025215","approx_im":"0.018839","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/6250*(247398452+9487500*69^(1/2))^(1/3)+190142/3125/(247398452+9487500*69^(1/2))^(1/3)+389/3125","im":"0","approx_re":"0.32301","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"3/2","im":"0","approx_re":"1.5","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":["3/5","4/5","6/5","7/5"],"monodromy":[],"monodromy_dm":[]}]}]}