{"count": 2, "status":"OK", "data":[{"pols": "[X^4, -16-84*X-180*X^2-192*X^3-192*X^4, 5952+23296*X+37760*X^2+31296*X^3+16704*X^4, -694592-2356032*X-3250880*X^2-2280192*X^3-865920*X^4, 40713984+127266816*X+158593536*X^2+98319360*X^3+29657088*X^4, -1449089024-4294181888*X-4970619904*X^2-2780086272*X^3-701853696*X^4, 34139856896+96861929472*X+105196011520*X^2+53599420416*X^3+11625332736*X^4, -543702794240-1480077656064*X-1512235352064*X^2-705261797376*X^3-132992630784*X^4, 5684261224448+14858703339520*X+14290280382464*X^2+6101819719680*X^3+1003990745088*X^4, -13107200*(2*X+3)*(171838*X^3+939735*X^2+1668155*X+905358), 2272788480000*(X+1)*(2*X+5)*(2*X+3)*(X+3)]", "text": "This is operator \"10.7\" from ...", "degz": 10, "h3": null, "sol": "1 16 292 5728 115012 2225536 37164976 345546112 -10171713212 -843836295488", "n_discr_factors": "4", "c3": null, "operator": "4 10 0 0 0 0 1 -16 -84 -180 -192 -192 5952 23296 37760 31296 16704 -694592 -2356032 -3250880 -2280192 -865920 40713984 127266816 158593536 98319360 29657088 -1449089024 -4294181888 -4970619904 -2780086272 -701853696 34139856896 96861929472 105196011520 53599420416 11625332736 -543702794240 -1480077656064 -1512235352064 -705261797376 -132992630784 5684261224448 14858703339520 14290280382464 6101819719680 1003990745088 -35600125132800 -89327940403200 -80681566208000 -31391534284800 -4504630067200 102275481600000 245461155840000 206823751680000 72729231360000 9091153920000", "new_number": "10.7", "id": 323, "operator_tex": "\\theta^4-2^{2} x\\left(48\\theta^4+48\\theta^3+45\\theta^2+21\\theta+4\\right)+2^{6} x^{2}\\left(261\\theta^4+489\\theta^3+590\\theta^2+364\\theta+93\\right)-2^{6} x^{3}\\left(13530\\theta^4+35628\\theta^3+50795\\theta^2+36813\\theta+10853\\right)+2^{8} 3 x^{4}\\left(38616\\theta^4+128020\\theta^3+206502\\theta^2+165712\\theta+53013\\right)-2^{10} x^{5}\\left(685404\\theta^4+2714928\\theta^3+4854121\\theta^2+4193537\\theta+1415126\\right)+2^{13} x^{6}\\left(1419108\\theta^4+6542898\\theta^3+12841310\\theta^2+11823966\\theta+4167463\\right)-2^{14} x^{7}\\left(8117226\\theta^4+43045764\\theta^3+92299521\\theta^2+90336771\\theta+33184985\\right)+2^{16} x^{8}\\left(15319683\\theta^4+93106380\\theta^3+218052374\\theta^2+226725820\\theta+86734943\\right)-2^{19} 5^{2} x^{9}(2\\theta+3)(171838\\theta^3+939735\\theta^2+1668155\\theta+905358)+2^{22} 3 5^{4} 17^{2} x^{10}(\\theta+1)(2\\theta+5)(2\\theta+3)(\\theta+3)", "superseek": "4 -628/9", "discriminant": "10 1 -192 16704 -865920 29657088 -701853696 11625332736 -132992630784 1003990745088 -4504630067200 9091153920000", "aesz": null, "n_sing_complex": "4", "inst_int": "", "c2h": null, "hash": "d5910f048831bb407eb8998c7c57e09f", "dim_h": null, "inst": " 4 5 -628/9 -2823/4 672 133867/9 207788 15579985/4 94033312/3 -299026336", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "8", "laurent": null, "discriminant_tex": "(12z-1)(18496z^3-2352z^2+84z-1)(16z-1)^2(400z^2-32z+1)^2", "discr_factors": "9091153920000, (z^2-2/25*z+1/400)^2, (z-1/16)^2, z^3-147/1156*z^2+21/4624*z-1/18496, z-1/12", "dm_basis": null, "q": "0 1 -20 342 -5200 78917 -1171416 17002890 -245182528 3470494482", "yuk": "1 4 44 -1880 -45124 84004 3210968 71271288 1994192956 22850092936", "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":"-21/2312*2^(1/3)-9/2312*2^(2/3)+49/1156","im":"-1/8*3^(1/2)*(21/289*2^(1/3)-9/289*2^(2/3))","approx_re":"0.024764","approx_im":"-0.009119","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-21/2312*2^(1/3)-9/2312*2^(2/3)+49/1156","im":"1/8*3^(1/2)*(21/289*2^(1/3)-9/289*2^(2/3))","approx_re":"0.024764","approx_im":"0.009119","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/25","im":"-3/100","approx_re":"0.04","approx_im":"-0.03","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/25","im":"3/100","approx_re":"0.04","approx_im":"0.03","exponents":["0","1","3","4"],"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":"21/1156*2^(1/3)+9/1156*2^(2/3)+49/1156","im":"0","approx_re":"0.077634","approx_im":"0.0","exponents":["0","1","1","2"],"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":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","3/2","5/2","3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[169*X^4, -1352-9802*X-27651*X^2-35698*X^3-19565*X^4, -37024-166296*X-222964*X^2-8344*X^3+91844*X^4, -1664+86112*X+516192*X^2+899136*X^3+240768*X^4, -530688-1974144*X-2242816*X^2-795392*X^3-926848*X^4, 265216+971776*X+999680*X^2-462336*X^3-1558272*X^4, 225280+1794048*X+4510720*X^2+4159488*X^3+566272*X^4, 606208+2621440*X+4505600*X^2+3768320*X^3+1343488*X^4, 262144*(X+1)^4]", "text": "This operator has a second MUM-point at infinity corresponding to operator 8.29", "degz": 8, "h3": "52", "sol": "1 8 292 15776 1030036 75099008 5885649904 485387853056 41575046526868 3666751505766368", "n_discr_factors": "3", "c3": "-172", "operator": "4 8 0 0 0 0 169 -1352 -9802 -27651 -35698 -19565 -37024 -166296 -222964 -8344 91844 -1664 86112 516192 899136 240768 -530688 -1974144 -2242816 -795392 -926848 265216 971776 999680 -462336 -1558272 225280 1794048 4510720 4159488 566272 606208 2621440 4505600 3768320 1343488 262144 1048576 1572864 1048576 262144", "new_number": "8.28", "id": 472, "operator_tex": "13^{2} \\theta^4-13 x\\left(1505\\theta^4+2746\\theta^3+2127\\theta^2+754\\theta+104\\right)+2^{2} x^{2}\\left(22961\\theta^4-2086\\theta^3-55741\\theta^2-41574\\theta-9256\\right)+2^{5} x^{3}\\left(7524\\theta^4+28098\\theta^3+16131\\theta^2+2691\\theta-52\\right)-2^{7} x^{4}\\left(7241\\theta^4+6214\\theta^3+17522\\theta^2+15423\\theta+4146\\right)-2^{8} x^{5}\\left(6087\\theta^4+1806\\theta^3-3905\\theta^2-3796\\theta-1036\\right)+2^{10} x^{6}\\left(553\\theta^4+4062\\theta^3+4405\\theta^2+1752\\theta+220\\right)+2^{14} x^{7}\\left(82\\theta^4+230\\theta^3+275\\theta^2+160\\theta+37\\right)+2^{18} x^{8}\\left((\\theta+1)^4\\right)", "superseek": "151/13 26293/13", "discriminant": "8 169 -19565 91844 240768 -926848 -1558272 566272 1343488 262144", "aesz": "303", "n_sing_complex": "3", "inst_int": "", "c2h": "-8", "hash": "e081c85684dd16a72eeaf5a1b139b912", "dim_h": "8", "inst": " 151/13 1436/13 26293/13 719465/13 24184128/13 927933648/13 39063063298/13 1760373069905/13 83576612574164/13 4134781753475992/13", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "7", "laurent": null, "discriminant_tex": "(z-1)(64z^3+304z^2+108z-1)(-13+44z+64z^2)^2", "discr_factors": "262144, z-1, (-13/64+11/16*z+z^2)^2, z^3+19/4*z^2+27/16*z-1/64", "dm_basis": null, "q": "0 1 -26 99 -1528 -76235 -3056142 -146660787 -7386800928 -387344930961", "yuk": "1 151/13 11639/13 710062/13 46057399/13 3023016151/13 200434389518/13 13398630711365/13 901311057848759/13 60927350567275618/13", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/24*(-4537+111*I*111^(1/2))^(1/3)-35/3/(-4537+111*I*111^(1/2))^(1/3)-19/12+1/8*I*3^(1/2)*(1/3*(-4537+111*I*111^(1/2))^(1/3)-280/3/(-4537+111*I*111^(1/2))^(1/3))","im":"0","approx_re":"-4.362346","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-11/32-1/32*329^(1/2)","im":"0","approx_re":"-0.910574","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/24*(-4537+111*I*111^(1/2))^(1/3)-35/3/(-4537+111*I*111^(1/2))^(1/3)-19/12-1/8*I*3^(1/2)*(1/3*(-4537+111*I*111^(1/2))^(1/3)-280/3/(-4537+111*I*111^(1/2))^(1/3))","im":"0","approx_re":"-0.396684","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":"1/12*(-4537+111*I*111^(1/2))^(1/3)+70/3/(-4537+111*I*111^(1/2))^(1/3)-19/12","im":"0","approx_re":"0.009029","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-11/32+1/32*329^(1/2)","im":"0","approx_re":"0.223074","approx_im":"0.0","exponents":["0","1","3","4"],"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":["1","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}]}