{"count": 2, "status":"OK", "data":[{"pols": "[10404*X^4, -72828*X-196962*X^2-10404-248268*X^3-126276*X^4, -1905719*X^4-7435898*X^3-11481377*X^2-8054838*X-2175150, -65375064*X-31069026*X^3-4568070*X^4-22153074-70031651*X^2, 4512344*X^4-46914039-80101802*X^2-111691663*X-9395414*X^3, 36577126+121266438*X^3+23432568*X^4+137186363*X+194777323*X^2, 69502656*X^3-1312570+57037497*X+121320734*X^2+4255715*X^4, -276276429*X-34233771*X^4-154827348*X^3-302768427*X^2-95082624, -7605*(X+1)*(1514*X^3+4164*X^2+3373*X+681), 1482975*(3*X+5)*(3*X+4)*(X+2)*(X+1)]", "text": "This is operator \"9.6\" from ...", "degz": 9, "h3": null, "sol": "1 1 17 163 2233 31901 493991 7987337 133971433 2309567473", "n_discr_factors": "2", "c3": null, "operator": "4 9 0 0 0 0 10404 -10404 -72828 -196962 -248268 -126276 -2175150 -8054838 -11481377 -7435898 -1905719 -22153074 -65375064 -70031651 -31069026 -4568070 -46914039 -111691663 -80101802 -9395414 4512344 36577126 137186363 194777323 121266438 23432568 -1312570 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x^{8}(\\theta+1)(1514\\theta^3+4164\\theta^2+3373\\theta+681)+3^{3} 5^{2} 13^{3} x^{9}(3\\theta+5)(3\\theta+4)(\\theta+2)(\\theta+1)", "superseek": "95/102 1421/102", "discriminant": "9 10404 -126276 -1905719 -4568070 4512344 23432568 4255715 -34233771 -11513970 13346775", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "04982735f3d6178049251771352a0277", "dim_h": null, "inst": " 95/102 58/17 1421/102 1451/17 31474/51 527893/102 4797095/102 23374000/51 239495219/51 5114772611/102", "cleanlist": "True", "n_sing_real": "6", "sol_explicit": "", "n_sing_rational": "1", "n_sing": "8", "laurent": null, "discriminant_tex": "(1-12z-181z^2-510z^3-328z^4+351z^5)(-102+7z+195z^2)^2", "discr_factors": "13346775, (-34/65+7/195*z+z^2)^2, 1/351-4/117*z-181/351*z^2-170/117*z^3-328/351*z^4+z^5", "dm_basis": null, "q": "0 1 -3 -20 -2 -15 -1773 -20775 -207437 -2305621", "yuk": "1 95/102 2879/102 19231/51 560063/102 2622865/34 57033067/51 822701840/51 7978512021/34 174592033882/51", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-7/390-1/390*79609^(1/2)","im":"0","approx_re":"-0.741412","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":"-7/390+1/390*79609^(1/2)","im":"0","approx_re":"0.705515","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"#ND","im":"#ND","approx_re":"#ND","approx_im":"#ND","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","4/3","5/3","2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[27*X^4, -189*X^4-234*X^3-243*X^2-126*X-27, 66000*X^4+58944*X^3+71376*X^2+29472*X+4464, 715904*X^4-626432*X^3-1956224*X^2-1355776*X-408192, -1797120*X^4-11397120*X^3+57233408*X^2+48618496*X+15584256, -145338368*X^4+3821813760*X^3-797102080*X^2-826466304*X-313503744, 1725349888*X^4-10447618048*X^3-5054480384*X^2-5093326848*X-2747973632, -7804157952*X^4+122932690944*X^3+163959406592*X^2+184304533504*X+91470561280, 158325538816*X^4+796146008064*X^3+3154091442176*X^2+4432047636480*X+2341387370496, -2543946039296*X^4-21803737022464*X^3-62475617697792*X^2-90570961715200*X-50460471853056, 1788988096512*X^4-4639369986048*X^3-393866754654208*X^2-657037520273408*X-388227663921152, 28133646401536*X^4+2945230873559040*X^3+10865478058639360*X^2+17489134746599424*X+10438814396841984, -2906138081230848*X^4-18692075629314048*X^3-32164494683668480*X^2-24390801446404096*X-4837056593264640, 4975771152023552*X^4-41767148204326912*X^3-375291287386980352*X^2-855802813895147520*X-5976409231031533568, 127578533194104832*X^4+1427348611783458816*X^3+4669354853548425216*X^2+7027771011244228608*X+398588083353681920, -865438796362022912*X^4-6109352796853633024*X^3-16966994936769544192*X^2-21878267087440314368*X-10819368140153028608, 35043634600476672*X^4-17852409660385001472*X^3-82852159394781593600*X^2-140005407125275672576*X-80206241837143293952, 24075962132945960960*X^4+204894642746941243392*X^3+704774216661719842816*X^2+1093805567048121581568*X+627969687879055048704, -90736273492447068160*X^4-629774364692235419648*X^3-2245075939441583849472*X^2-4153600130529584218112*X-2871770967888604692480, -344309198711729160192*X^4-274215174111334760448*X^3-7909960255926953836544*X^2-7981279259625993011200*X-1674033017489887068160, 1506436060956921430016*X^4+11946572630736148365312*X^3+35551487516056733351936*X^2+39920627672952455823360*X+12874602384350622253056, 2923808935682963931136*X^4+19468232526791218036736*X^3+40315359173092225056768*X^2+32687630498613325463552*X+9547919440401603231744, -7798361057160712945664*X^4-57922776391447992074240*X^3-150419362863046111264768*X^2-173261043712316963553280*X-77550112085874954993664, -10883579003488635453440*X^4-56447036865551227944960*X^3-103855169134984775598080*X^2-75262715820734970593280*X-14388460377493450260480, 7378697629483820646400*(X+2)^4]", "text": "This is operator \"24.12\" from ...", "degz": 24, "h3": null, "sol": "1 1 -135/16 672377/11664 759635299/995328 -197553806411/14929920 -28189230315645233/58047528960 33907870457440656133/3982060486656 36547237931335686684083153/81552598766714880 -24127929960412067875839784339223/4815599404575746949120", "n_discr_factors": "1", "c3": null, "operator": "4 24 0 0 0 0 27 -27 -126 -243 -234 -189 4464 29472 71376 58944 66000 -408192 -1355776 -1956224 -626432 715904 15584256 48618496 57233408 -11397120 -1797120 -313503744 -826466304 -797102080 3821813760 -145338368 -2747973632 -5093326848 -5054480384 -10447618048 1725349888 91470561280 184304533504 163959406592 122932690944 -7804157952 2341387370496 4432047636480 3154091442176 796146008064 158325538816 -50460471853056 -90570961715200 -62475617697792 -21803737022464 -2543946039296 -388227663921152 -657037520273408 -393866754654208 -4639369986048 1788988096512 10438814396841984 17489134746599424 10865478058639360 2945230873559040 28133646401536 -4837056593264640 -24390801446404096 -32164494683668480 -18692075629314048 -2906138081230848 -5976409231031533568 -855802813895147520 -375291287386980352 -41767148204326912 4975771152023552 398588083353681920 7027771011244228608 4669354853548425216 1427348611783458816 127578533194104832 -10819368140153028608 -21878267087440314368 -16966994936769544192 -6109352796853633024 -865438796362022912 -80206241837143293952 -140005407125275672576 -82852159394781593600 -17852409660385001472 35043634600476672 627969687879055048704 1093805567048121581568 704774216661719842816 204894642746941243392 24075962132945960960 -2871770967888604692480 -4153600130529584218112 -2245075939441583849472 -629774364692235419648 -90736273492447068160 -1674033017489887068160 -7981279259625993011200 -7909960255926953836544 -274215174111334760448 -344309198711729160192 12874602384350622253056 39920627672952455823360 35551487516056733351936 11946572630736148365312 1506436060956921430016 9547919440401603231744 32687630498613325463552 40315359173092225056768 19468232526791218036736 2923808935682963931136 -77550112085874954993664 -173261043712316963553280 -150419362863046111264768 -57922776391447992074240 -7798361057160712945664 -14388460377493450260480 -75262715820734970593280 -103855169134984775598080 -56447036865551227944960 -10883579003488635453440 118059162071741130342400 236118324143482260684800 177088743107611695513600 59029581035870565171200 7378697629483820646400", "new_number": "24.12", "id": 587, "operator_tex": "3^{3} \\theta^4-3^{2} x\\left(21\\theta^4+26\\theta^3+27\\theta^2+14\\theta+3\\right)+2^{4} 3 x^{2}\\left(1375\\theta^4+1228\\theta^3+1487\\theta^2+614\\theta+93\\right)+2^{7} x^{3}\\left(5593\\theta^4-4894\\theta^3-15283\\theta^2-10592\\theta-3189\\right)-2^{10} x^{4}\\left(1755\\theta^4+11130\\theta^3-55892\\theta^2-47479\\theta-15219\\right)-2^{12} x^{5}\\left(35483\\theta^4-933060\\theta^3+194605\\theta^2+201774\\theta+76539\\right)+2^{14} x^{6}\\left(105307\\theta^4-637672\\theta^3-308501\\theta^2-310872\\theta-167723\\right)-2^{17} x^{7}\\left(59541\\theta^4-937902\\theta^3-1250911\\theta^2-1406132\\theta-697865\\right)+2^{20} x^{8}\\left(150991\\theta^4+759264\\theta^3+3007976\\theta^2+4226730\\theta+2232921\\right)-2^{23} x^{9}\\left(303262\\theta^4+2599208\\theta^3+7447674\\theta^2+10796900\\theta+6015357\\right)+2^{26} x^{10}\\left(26658\\theta^4-69132\\theta^3-5869072\\theta^2-9790622\\theta-5785043\\right)+2^{29} x^{11}\\left(52403\\theta^4+5485920\\theta^3+20238530\\theta^2+32576052\\theta+19443807\\right)-2^{32} x^{12}\\left(676638\\theta^4+4352088\\theta^3+7488880\\theta^2+5678926\\theta+1126215\\right)+2^{35} x^{13}\\left(144814\\theta^4-1215584\\theta^3-10922414\\theta^2-24907140\\theta-173936401\\right)+2^{38} x^{14}\\left(464128\\theta^4+5192664\\theta^3+16987014\\theta^2+25566882\\theta+1450055\\right)-2^{41} x^{15}\\left(393556\\theta^4+2778212\\theta^3+7715696\\theta^2+9949084\\theta+4920079\\right)+2^{44} x^{16}\\left(1992\\theta^4-1014792\\theta^3-4709600\\theta^2-7958386\\theta-4559197\\right)+2^{47} x^{17}\\left(171070\\theta^4+1455864\\theta^3+5007722\\theta^2+7771956\\theta+4461993\\right)-2^{50} x^{18}\\left(80590\\theta^4+559352\\theta^3+1994028\\theta^2+3689138\\theta+2550645\\right)-2^{53} x^{19}\\left(38226\\theta^4+30444\\theta^3+878182\\theta^2+886100\\theta+185855\\right)+2^{56} x^{20}\\left(20906\\theta^4+165792\\theta^3+493376\\theta^2+554010\\theta+178671\\right)+2^{59} x^{21}\\left(5072\\theta^4+33772\\theta^3+69936\\theta^2+56704\\theta+16563\\right)-2^{62} x^{22}\\left(1691\\theta^4+12560\\theta^3+32617\\theta^2+37570\\theta+16816\\right)-2^{65} 5 x^{23}\\left(59\\theta^4+306\\theta^3+563\\theta^2+408\\theta+78\\right)+2^{68} 5^{2} x^{24}\\left((\\theta+2)^4\\right)", "superseek": "1/3 1289597/39366", "discriminant": "24 27 -189 66000 715904 -1797120 -145338368 1725349888 -7804157952 158325538816 -2543946039296 1788988096512 28133646401536 -2906138081230848 4975771152023552 127578533194104832 -865438796362022912 35043634600476672 24075962132945960960 -90736273492447068160 -344309198711729160192 1506436060956921430016 2923808935682963931136 -7798361057160712945664 -10883579003488635453440 7378697629483820646400", "aesz": null, "n_sing_complex": null, "inst_int": null, "c2h": null, "hash": "9f410e240839dfb2c31e0d9ab21bcf92", "dim_h": null, "inst": " 1/3 -15611/576 1289597/39366 2808573854873/859963392 25331648080663241/1259712000000 -936150984443625605413/587731230720000 -37254791258050978167157957/2469499698677760000 4308190349320425629656246404027497/4439071056069824348160000 8399397789244375450799991560724094361/409566729359167278022656000 -5807644648447675440358225923857598222853709/7584569062206801444864000000000", "cleanlist": "True", "n_sing_real": null, "sol_explicit": null, "n_sing_rational": null, "n_sing": null, "laurent": null, "discriminant_tex": "27-189z-7798361057160712945664z^22-10883579003488635453440z^23+7378697629483820646400z^24+1725349888z^6-7804157952z^7+158325538816z^8-2543946039296z^9+1788988096512z^10+35043634600476672z^16+24075962132945960960z^17+66000z^2+715904z^3-1797120z^4-145338368z^5-90736273492447068160z^18+28133646401536z^11-2906138081230848z^12+4975771152023552z^13+127578533194104832z^14-865438796362022912z^15-344309198711729160192z^19+1506436060956921430016z^20+2923808935682963931136z^21", "discr_factors": "7378697629483820646400, -189/7378697629483820646400*z-1691/1600*z^22-59/40*z^23+z^24+105307/450359962737049600*z^6-59541/56294995342131200*z^7+150991/7036874417766400*z^8-151631/439804651110400*z^9+13329/54975581388800*z^10+249/52428800*z^16+17107/5242880*z^17+165/18446744073709551616*z^2+5593/57646075230342348800*z^3-351/1441151880758558720*z^4-35483/1801439850948198400*z^5-8059/655360*z^18+52403/13743895347200*z^11-338319/858993459200*z^12+72407/107374182400*z^13+1813/104857600*z^14-98389/838860800*z^15+27/7378697629483820646400-19113/409600*z^19+10453/51200*z^20+317/800*z^21", "dm_basis": null, "q": "0 1 -2/3 373/8 -1765187/8748 -89274766285/26873856 -730613112281/17280000 390495531340553267107/97955205120000 1564840650143243533367963/88196417809920000 -3795340927890264504017189125703/1284453430575759360000", "yuk": "1 1/3 -15587/72 1290083/1458 2805664946585/13436928 25331651439895241/10077696000 -936149166800048645413/2720977920000 -37254791255651075641717957/7199707576320000 4308192159651274197795538461627497/8670060656386375680000 8399397789741490911323231769452158361/561819930533837144064000", "gv2": null, "gv0": null, "gv1": null}]}