{"count": 2, "status":"OK", "data":[{"pols": "[X^4, 14+63*X+102*X^2+78*X^3+231*X^4, 2832+13390*X+24563*X^2+19308*X^3+21987*X^4, 352672+1419720*X+2324296*X^2+1805664*X^3+1125600*X^4, 23999328+84832080*X+121146528*X^2+84946080*X^3+34238160*X^4, 1011937792+3163755712*X+3898985600*X^2+2317524096*X^3+658987200*X^4, 29930864384+82679261184*X+86846564416*X^2+42229069824*X^3+8773650624*X^4, 636308921344+1594777115136*X+1456912535040*X^2+585238996992*X^3+91840361472*X^4, 8156255989760+19399756595200*X+16303641829376*X^2+5801678782464*X^3+757052485632*X^4, 3080192*(2*X+3)*(622034*X^3+4130865*X^2+8390461*X+4891218), 2008235900928*(X+1)*(2*X+5)*(2*X+3)*(X+3)]", "text": "This is operator \"10.4\" from ...", "degz": 10, "h3": null, "sol": "1 -14 250 -5192 116266 -2739044 67228336 -1704859520 44385556138 -1180977725564", "n_discr_factors": "4", "c3": null, "operator": "4 10 0 0 0 0 1 14 63 102 78 231 2832 13390 24563 19308 21987 352672 1419720 2324296 1805664 1125600 23999328 84832080 121146528 84946080 34238160 1011937792 3163755712 3898985600 2317524096 658987200 29930864384 82679261184 86846564416 42229069824 8773650624 636308921344 1594777115136 1456912535040 585238996992 91840361472 8156255989760 19399756595200 16303641829376 5801678782464 757052485632 45197671661568 107664473653248 89860033675264 31195667103744 3831968301056 90370615541760 216889477300224 182749466984448 64263548829696 8032943603712", "new_number": "10.4", "id": 320, "operator_tex": "\\theta^4+x\\left(14+63\\theta+102\\theta^2+78\\theta^3+231\\theta^4\\right)+x^{2}\\left(2832+13390\\theta+24563\\theta^2+19308\\theta^3+21987\\theta^4\\right)+2^{3} x^{3}\\left(140700\\theta^4+225708\\theta^3+290537\\theta^2+177465\\theta+44084\\right)+2^{4} 3 x^{4}\\left(713295\\theta^4+1769710\\theta^3+2523886\\theta^2+1767335\\theta+499986\\right)+2^{6} x^{5}\\left(10296675\\theta^4+36211314\\theta^3+60921650\\theta^2+49433683\\theta+15811528\\right)+2^{6} x^{6}\\left(137088291\\theta^4+659829216\\theta^3+1356977569\\theta^2+1291863456\\theta+467669756\\right)+2^{9} x^{7}\\left(179375706\\theta^4+1143044916\\theta^3+2845532295\\theta^2+3114799053\\theta+1242790862\\right)+2^{12} x^{8}\\left(184827267\\theta^4+1416425484\\theta^3+3980381306\\theta^2+4736268700\\theta+1991273435\\right)+2^{16} 47 x^{9}(2\\theta+3)(622034\\theta^3+4130865\\theta^2+8390461\\theta+4891218)+2^{20} 3 17^{2} 47^{2} x^{10}(\\theta+1)(2\\theta+5)(2\\theta+3)(\\theta+3)", "superseek": "10 7709/9", "discriminant": "10 1 231 21987 1125600 34238160 658987200 8773650624 91840361472 757052485632 3831968301056 8032943603712", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "6162ae56594cb4ca6830174a8ed00300", "dim_h": null, "inst": " 10 -149/2 7709/9 -27333/2 242829 -85405225/18 99122532 -4339920081/2 147931798999/3 -1154124338493", "cleanlist": "True", "n_sing_real": "6", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "8", "laurent": null, "discriminant_tex": "(24z+1)(2312z^3+75z^2+15z+1)(32z+1)^2(376z^2+64z+1)^2", "discr_factors": "8032943603712, (z^2+8/47*z+1/376)^2, z^3+75/2312*z^2+15/2312*z+1/2312, (z+1/32)^2, z+1/24", "dm_basis": null, "q": "0 1 7 48 167 8969 -74274 2936074 -67129997 1764498447", "yuk": "1 10 -586 23137 -875242 30353635 -1024840159 33999028486 -1111020415978 35947427179894", "gv2": null, "gv0": null, "gv1": null, 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{"pols": "[X^4, 127*X^4-2*X^3+22*X^2+23*X+6, 4803*X^4+1644*X^3+3459*X^2+430*X-384, 20056*X^4+64944*X^3-19584*X^2-57016*X-23520, -1506800*X^4-1413728*X^3-2134688*X^2-1784112*X-622368, 4290624*X^4+37959552*X^3+150483072*X^2+171473472*X+69110784, 500582592*X^4+2717687808*X^3+6429575232*X^2+6772792320*X+2640096000, -3400496640*X^4-18498917376*X^3-47206361088*X^2-61076740608*X-29078811648, -77713219584*X^4-719080685568*X^3-2326537064448*X^2-3124173348864*X-1451769163776, 17464017125376*X+7548312748032+5122993029120*X^3+14459018379264*X^2+646835798016*X^4, 191102976*(X+1)*(15879*X^3+214401*X^2+816191*X+896789), -4586471424*(X+1)*(X+2)*(8037*X^2+71103*X+151546), 2641807540224*(X+3)*(X+2)*(X+1)*(31*X+152), -52836150804480*(X+1)*(X+2)*(X+3)*(X+4)]", "text": "This is operator \"13.7\" from ...", "degz": 13, "h3": null, "sol": "1 -6 90 -1368 21546 -385236 7073136 -133747200 2639185578 -52865736876", "n_discr_factors": "5", "c3": null, "operator": "4 13 0 0 0 0 1 6 23 22 -2 127 -384 430 3459 1644 4803 -23520 -57016 -19584 64944 20056 -622368 -1784112 -2134688 -1413728 -1506800 69110784 171473472 150483072 37959552 4290624 2640096000 6772792320 6429575232 2717687808 500582592 -29078811648 -61076740608 -47206361088 -18498917376 -3400496640 -1451769163776 -3124173348864 -2326537064448 -719080685568 -77713219584 7548312748032 17464017125376 14459018379264 5122993029120 646835798016 171379046744064 327355575828480 196949198241792 44007193313280 3034524155904 -1390122796843008 -2737407950585856 -1747119973072896 -436696290164736 -36861470834688 2409328476684288 4908478409736192 3310184847900672 892930948595712 81896033746944 -1268067619307520 -2641807540224000 -1849265278156800 -528361508044800 -52836150804480", "new_number": "13.7", "id": 375, "operator_tex": "\\theta^4+x\\left(127\\theta^4-2\\theta^3+22\\theta^2+23\\theta+6\\right)+x^{2}\\left(4803\\theta^4+1644\\theta^3+3459\\theta^2+430\\theta-384\\right)+2^{3} x^{3}\\left(2507\\theta^4+8118\\theta^3-2448\\theta^2-7127\\theta-2940\\right)-2^{4} x^{4}\\left(94175\\theta^4+88358\\theta^3+133418\\theta^2+111507\\theta+38898\\right)+2^{6} 3 x^{5}\\left(22347\\theta^4+197706\\theta^3+783766\\theta^2+893091\\theta+359952\\right)+2^{6} 3^{2} x^{6}\\left(869067\\theta^4+4718208\\theta^3+11162457\\theta^2+11758320\\theta+4583500\\right)-2^{9} 3^{3} x^{7}\\left(245985\\theta^4+1338174\\theta^3+3414812\\theta^2+4418167\\theta+2103502\\right)-2^{12} 3^{4} x^{8}\\left(234234\\theta^4+2167368\\theta^3+7012373\\theta^2+9416514\\theta+4375751\\right)+2^{15} 3^{5} x^{9}\\left(81234\\theta^4+643380\\theta^3+1815861\\theta^2+2193249\\theta+947968\\right)+2^{18} 3^{6} x^{10}(\\theta+1)(15879\\theta^3+214401\\theta^2+816191\\theta+896789)-2^{21} 3^{7} x^{11}(\\theta+1)(\\theta+2)(8037\\theta^2+71103\\theta+151546)+2^{27} 3^{9} x^{12}(\\theta+3)(\\theta+2)(\\theta+1)(31\\theta+152)-2^{29} 3^{9} 5 x^{13}(\\theta+1)(\\theta+2)(\\theta+3)(\\theta+4)", "superseek": "10 7709/9", "discriminant": "13 1 127 4803 20056 -1506800 4290624 500582592 -3400496640 -77713219584 646835798016 3034524155904 -36861470834688 81896033746944 -52836150804480", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "47093f7f3b7ab4544ef6b418bdae778b", "dim_h": null, "inst": " 10 -149/2 7709/9 -27333/2 242829 -85405225/18 99122532 -4339920081/2 147931798999/3 -1154124338493", "cleanlist": "True", "n_sing_real": "7", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "9", "laurent": null, "discriminant_tex": "-(16z+1)(2160z^3+27z^2-9z+1)(24z+1)^2(72z^2-48z-1)^2(8z-1)^3", "discr_factors": "-52836150804480, z+1/16, z^3+1/80*z^2-1/240*z+1/2160, (z-1/8)^3, (z^2-2/3*z-1/72)^2, (z+1/24)^2", "dm_basis": null, "q": "0 1 -1 0 -161 9305 -210114 4823674 -121393813 3105856143", "yuk": "1 10 -586 23137 -875242 30353635 -1024840159 33999028486 -1111020415978 35947427179894", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-3/80*3^(2/3)-1/80*3^(1/3)-1/240","im":"0","approx_re":"-0.100198","approx_im":"0.0","exponents":["0","1","1","2"],"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":"0","approx_re":"-0.0416666666667","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/3-1/4*2^(1/2)","im":"0","approx_re":"-0.02022","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":"3/160*3^(2/3)+1/160*3^(1/3)-1/240","im":"1/6*3^(1/2)*(-9/80*3^(2/3)+3/80*3^(1/3))","approx_re":"0.043849","approx_im":"-0.05194","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"3/160*3^(2/3)+1/160*3^(1/3)-1/240","im":"-1/6*3^(1/2)*(-9/80*3^(2/3)+3/80*3^(1/3))","approx_re":"0.043849","approx_im":"0.05194","exponents":["0","1","1","2"],"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":"1/3+1/4*2^(1/2)","im":"0","approx_re":"0.686887","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":[]}]}]}