{"count": 2, "status":"OK", "data":[{"pols": "[X^4, 20+96*X+180*X^2+168*X^3+276*X^4, 7824+31840*X+52976*X^2+43968*X^3+33552*X^4, 1285120+4602624*X+6724864*X^2+4929024*X^3+2365440*X^4, 113224704+369214464*X+481683456*X^2+310978560*X^3+107043840*X^4, 5938819072+18001223680*X+21321592832*X^2+12174974976*X^3+3244953600*X^4, 193460092928+552328888320*X+601901252608*X^2+306625511424*X^3+66594422784*X^4, 3928442798080+10662611779584*X+10803819577344*X^2+4961730035712*X^3+910775549952*X^4, 48183064395776+125126569885696*X+118802849202176*X^2+49666477522944*X^3+7911030915072*X^4, 385875968*(2*X+3)*(50786*X^3+284985*X^2+515497*X+282264), 20874346364928*(X+1)*(2*X+5)*(2*X+3)*(X+3)]", "text": "This is operator \"10.2\" from ...", "degz": 10, "h3": null, "sol": "1 -20 436 -9872 228292 -5360720 127776880 -3100387520 76926678340 -1960844809040", "n_discr_factors": "5", "c3": null, "operator": "4 10 0 0 0 0 1 20 96 180 168 276 7824 31840 52976 43968 33552 1285120 4602624 6724864 4929024 2365440 113224704 369214464 481683456 310978560 107043840 5938819072 18001223680 21321592832 12174974976 3244953600 193460092928 552328888320 601901252608 306625511424 66594422784 3928442798080 10662611779584 10803819577344 4961730035712 910775549952 48183064395776 125126569885696 118802849202176 49666477522944 7911030915072 326756682694656 814591500091392 727742395973632 278729016213504 39194193821696 939345586421760 2254429407412224 1899565519208448 667979083677696 83497385459712", "new_number": "10.2", "id": 318, "operator_tex": "\\theta^4+2^{2} x\\left(69\\theta^4+42\\theta^3+45\\theta^2+24\\theta+5\\right)+2^{4} x^{2}\\left(2097\\theta^4+2748\\theta^3+3311\\theta^2+1990\\theta+489\\right)+2^{8} x^{3}\\left(9240\\theta^4+19254\\theta^3+26269\\theta^2+17979\\theta+5020\\right)+2^{10} 3 x^{4}\\left(34845\\theta^4+101230\\theta^3+156798\\theta^2+120187\\theta+36857\\right)+2^{12} x^{5}\\left(792225\\theta^4+2972406\\theta^3+5205467\\theta^2+4394830\\theta+1449907\\right)+2^{14} x^{6}\\left(4064601\\theta^4+18714936\\theta^3+36737137\\theta^2+33711480\\theta+11807867\\right)+2^{18} x^{7}\\left(3474333\\theta^4+18927498\\theta^3+41213301\\theta^2+40674636\\theta+14985820\\right)+2^{20} x^{8}\\left(7544547\\theta^4+47365644\\theta^3+113299226\\theta^2+119329996\\theta+45950951\\right)+2^{24} 23 x^{9}(2\\theta+3)(50786\\theta^3+284985\\theta^2+515497\\theta+282264)+2^{28} 3 7^{2} 23^{2} x^{10}(\\theta+1)(2\\theta+5)(2\\theta+3)(\\theta+3)", "superseek": "4 2252/9", "discriminant": "10 1 276 33552 2365440 107043840 3244953600 66594422784 910775549952 7911030915072 39194193821696 83497385459712", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "4a65f8c6ad1f8eaf4aa56879ebb94205", "dim_h": null, "inst": " 4 -31 2252/9 -11109/4 33312 -4091081/9 6559596 -399687825/4 1577400224 -25647405040", "cleanlist": "True", "n_sing_real": "6", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "8", "laurent": null, "discriminant_tex": "(24z+1)(8z+1)(784z^2+52z+1)(32z+1)^2(736z^2+64z+1)^2", "discr_factors": "83497385459712, z+1/8, z+1/24, (z+1/32)^2, (z^2+2/23*z+1/736)^2, z^2+13/196*z+1/784", "dm_basis": null, "q": "0 1 16 246 3296 45125 566688 7548010 89656192 1211420178", "yuk": "1 4 -244 6760 -177988 4164004 -98179432 2249941432 -51160219588 1149924770056", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/8","im":"0","approx_re":"-0.125","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/23-3/184*2^(1/2)","im":"0","approx_re":"-0.066536","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/24","im":"0","approx_re":"-0.0416666666667","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-13/392","im":"-3/392*3^(1/2)","approx_re":"-0.0331632653061","approx_im":"-0.013255","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-13/392","im":"3/392*3^(1/2)","approx_re":"-0.0331632653061","approx_im":"0.013255","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/32","im":"0","approx_re":"-0.03125","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/23+3/184*2^(1/2)","im":"0","approx_re":"-0.02042","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, 12+56*X+100*X^2+88*X^3+172*X^4, 12048*X^4+14784*X^3+17712*X^2+9952*X+2256, 432256*X^4+923904*X^3+1185408*X^2+737792*X+186240, 7751680*X^4+25311232*X^3+35200000*X^2+22459392*X+5437440, 33214464*X^4+188669952*X^3+212963328*X^2-3096576*X-67424256, -1147650048*X^4-4994629632*X^3-12364333056*X^2-15859777536*X-7297449984, -17323130880*X^4-99635429376*X^3-245132034048*X^2-295728316416*X-130689662976, -3737124864*X^4-44845498368*X^3-20978860032*X^2-20384317440*X-23272095744, 1353518678016*X^4+9702935101440*X^3+28091627864064*X^2+35372906053632*X+15653117362176, 48922361856*(X+1)*(109*X^3+651*X^2+1373*X+933), -1174136684544*(X+1)*(X+2)*(27*X^2+153*X+199), -169075682574336*(X+1)*(X+2)^2*(X+3)]", "text": "This is operator \"12.5\" from ...", "degz": 12, "h3": null, "sol": "1 -12 180 -2736 42948 -691632 11651184 -208526400 3997652292 -81421375536", "n_discr_factors": "5", "c3": null, "operator": "4 12 0 0 0 0 1 12 56 100 88 172 2256 9952 17712 14784 12048 186240 737792 1185408 923904 432256 5437440 22459392 35200000 25311232 7751680 -67424256 -3096576 212963328 188669952 33214464 -7297449984 -15859777536 -12364333056 -4994629632 -1147650048 -130689662976 -295728316416 -245132034048 -99635429376 -17323130880 -23272095744 -20384317440 -20978860032 -44845498368 -3737124864 15653117362176 35372906053632 28091627864064 9702935101440 1353518678016 45644563611648 112814966439936 99018860396544 37180995010560 5332537442304 -467306400448512 -1060245426143232 -835985319395328 -274747984183296 -31701690482688 -2028908190892032 -4734119112081408 -3888740699209728 -1352605460594688 -169075682574336", "new_number": "12.5", "id": 358, "operator_tex": "\\theta^4+2^{2} x\\left(43\\theta^4+22\\theta^3+25\\theta^2+14\\theta+3\\right)+2^{4} x^{2}\\left(753\\theta^4+924\\theta^3+1107\\theta^2+622\\theta+141\\right)+2^{7} x^{3}\\left(3377\\theta^4+7218\\theta^3+9261\\theta^2+5764\\theta+1455\\right)+2^{10} x^{4}\\left(7570\\theta^4+24718\\theta^3+34375\\theta^2+21933\\theta+5310\\right)+2^{12} 3^{2} x^{5}\\left(901\\theta^4+5118\\theta^3+5777\\theta^2-84\\theta-1829\\right)-2^{14} 3^{2} x^{6}\\left(7783\\theta^4+33872\\theta^3+83851\\theta^2+107556\\theta+49489\\right)-2^{17} 3^{3} x^{7}\\left(4895\\theta^4+28154\\theta^3+69267\\theta^2+83564\\theta+36929\\right)-2^{20} 3^{4} x^{8}\\left(44\\theta^4+528\\theta^3+247\\theta^2+240\\theta+274\\right)+2^{23} 3^{5} x^{9}\\left(664\\theta^4+4760\\theta^3+13781\\theta^2+17353\\theta+7679\\right)+2^{26} 3^{6} x^{10}(\\theta+1)(109\\theta^3+651\\theta^2+1373\\theta+933)-2^{29} 3^{7} x^{11}(\\theta+1)(\\theta+2)(27\\theta^2+153\\theta+199)-2^{33} 3^{9} x^{12}(\\theta+1)(\\theta+2)^2(\\theta+3)", "superseek": "4 2252/9", "discriminant": "12 1 172 12048 432256 7751680 33214464 -1147650048 -17323130880 -3737124864 1353518678016 5332537442304 -31701690482688 -169075682574336", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "bb257a283455fdd1fa17fef9649505e3", "dim_h": null, "inst": " 4 -31 2252/9 -11109/4 33312 -4091081/9 6559596 -399687825/4 1577400224 -25647405040", "cleanlist": "True", "n_sing_real": "6", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "8", "laurent": null, "discriminant_tex": "-(16z+1)(432z^2+36z+1)(24z+1)^2(288z^2+48z+1)^2(8z-1)^3", "discr_factors": "-169075682574336, (z^2+1/6*z+1/288)^2, z^2+1/12*z+1/432, (z+1/24)^2, (z-1/8)^3, z+1/16", "dm_basis": null, "q": "0 1 8 54 -128 -2875 -72144 -100310 -7419904 102483090", "yuk": "1 4 -244 6760 -177988 4164004 -98179432 2249941432 -51160219588 1149924770056", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/12-1/24*2^(1/2)","im":"0","approx_re":"-0.142259","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/16","im":"0","approx_re":"-0.0625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/24","im":"-1/72*3^(1/2)","approx_re":"-0.0416666666667","approx_im":"-0.024056","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/24","im":"0","approx_re":"-0.0416666666667","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/24","im":"1/72*3^(1/2)","approx_re":"-0.0416666666667","approx_im":"0.024056","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/12+1/24*2^(1/2)","im":"0","approx_re":"-0.024408","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":"1/8","im":"0","approx_re":"0.125","approx_im":"0.0","exponents":["0","1/2","3/2","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","2","2","3"],"monodromy":[],"monodromy_dm":[]}]}]}