{"count": 2, "status":"OK", "data":[{"pols": "[X^4, -24*X^3+84*X^4+4+12*X, -896*X-528-256*X^2-1536*X^3+2016*X^4, -10432-14464*X^2-21504*X^3+5376*X^4-23424*X, 3072000*X^3+239616*X^4+2500608+7127040*X+7557120*X^2, 528994304*X+200302592+512352256*X^2+205283328*X^3+28790784*X^4, 14929625088*X+4824367104*X^3+13212516352*X^2+6033784832+631603200*X^4, 183785619456*X+46446673920*X^3+146370330624*X^2+79572303872+5081923584*X^4, 340338409472+717557334016*X+9616490496*X^4+122922467328*X^3+490150559744*X^2, -8388608*(2*X+3)*(2114*X^3+16713*X^2+37111*X+22497), 5033164800*(X+1)*(2*X+5)*(2*X+3)*(X+3)]", "text": "This is operator \"10.6\" from ...", "degz": 10, "h3": null, "sol": "1 -4 52 -688 2500 -124624 660976 -2006848 504491332 4419175280", "n_discr_factors": "4", "c3": null, "operator": "4 10 0 0 0 0 1 4 12 0 -24 84 -528 -896 -256 -1536 2016 -10432 -23424 -14464 -21504 5376 2500608 7127040 7557120 3072000 239616 200302592 528994304 512352256 205283328 28790784 6033784832 14929625088 13212516352 4824367104 631603200 79572303872 183785619456 146370330624 46446673920 5081923584 340338409472 717557334016 490150559744 122922467328 9616490496 -566155542528 -1311365922816 -1043215679488 -333598162944 -35467034624 226492416000 543581798400 458017996800 161061273600 20132659200", "new_number": "10.6", "id": 322, "operator_tex": "\\theta^4+2^{2} x\\left(21\\theta^4-6\\theta^3+3\\theta+1\\right)+2^{4} x^{2}\\left(126\\theta^4-96\\theta^3-16\\theta^2-56\\theta-33\\right)+2^{6} x^{3}\\left(84\\theta^4-336\\theta^3-226\\theta^2-366\\theta-163\\right)+2^{11} 3 x^{4}\\left(39\\theta^4+500\\theta^3+1230\\theta^2+1160\\theta+407\\right)+2^{12} x^{5}\\left(7029\\theta^4+50118\\theta^3+125086\\theta^2+129149\\theta+48902\\right)+2^{14} x^{6}\\left(38550\\theta^4+294456\\theta^3+806428\\theta^2+911232\\theta+368273\\right)+2^{16} x^{7}\\left(77544\\theta^4+708720\\theta^3+2233434\\theta^2+2804346\\theta+1214177\\right)+2^{20} x^{8}\\left(9171\\theta^4+117228\\theta^3+467444\\theta^2+684316\\theta+324572\\right)-2^{23} x^{9}(2\\theta+3)(2114\\theta^3+16713\\theta^2+37111\\theta+22497)+2^{26} 3 5^{2} x^{10}(\\theta+1)(2\\theta+5)(2\\theta+3)(\\theta+3)", "superseek": "8 2200/9", "discriminant": "10 1 84 2016 5376 239616 28790784 631603200 5081923584 9616490496 -35467034624 20132659200", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "b5aa0abf76ddfbd280ec220a43822aa4", "dim_h": null, "inst": " 8 -75/2 2200/9 -8117/2 47936 -4052675/6 11499480 -175321542 2998366528 -53613060132", "cleanlist": "True", "n_sing_real": "6", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "8", "laurent": null, "discriminant_tex": "(12z+1)(6400z^3+192z^2-24z+1)(16z+1)^2(32z^2-32z-1)^2", "discr_factors": "20132659200, (z+1/16)^2, z+1/12, z^3+3/100*z^2-3/800*z+1/6400, (z^2-z-1/32)^2", "dm_basis": null, "q": "0 1 -4 6 464 3333 -67896 874138 -18622400 293110866", "yuk": "1 8 -292 6608 -260036 5992008 -145889992 3944321648 -89764889540 2185809205520", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-9/200*2^(1/3)-3/200*2^(2/3)-1/100","im":"0","approx_re":"-0.090507","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":"-1/16","im":"0","approx_re":"-0.0625","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/2-3/8*2^(1/2)","im":"0","approx_re":"-0.03033","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":"9/400*2^(1/3)+3/400*2^(2/3)-1/100","im":"1/8*3^(1/2)*(-9/50*2^(1/3)+3/50*2^(2/3))","approx_re":"0.030254","approx_im":"-0.02848","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"9/400*2^(1/3)+3/400*2^(2/3)-1/100","im":"-1/8*3^(1/2)*(-9/50*2^(1/3)+3/50*2^(2/3))","approx_re":"0.030254","approx_im":"0.02848","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/2+3/8*2^(1/2)","im":"0","approx_re":"1.03033","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","3/2","5/2","3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[27*X^4, -1080*X^4-2448*X^3-1944*X^2-720*X-108, 6192*X^4+49728*X^3+69360*X^2+30048*X+2736, 419840*X^4+1034752*X^3+1820032*X^2+1866368*X+754752, -4396032*X^4+860160*X^3+26789888*X^2+17959936*X+3554304, 4685824*X^4-47063040*X^3-539981824*X^2-543836160*X-18164736, 1038209024*X^4+1100398592*X^3-1724329984*X^2-4393951232*X-2630938624, -4405100544*X^4+15843262464*X^3+3547955200*X^2+2510028800*X+2922299392, -18063097856*X^4-24164696064*X^3-250203865088*X^2-75539939328*X+15624830976, 651701518336*X^4-81321263104*X^3-94561632256*X^2+128318439424*X+226505523200, 149315125248*X^4+4151480156160*X^3+12803802923008*X^2+16455131201536*X+8119969120256, -21217440432128*X^4-70266805813248*X^3-137193184034816*X^2-135180991856640*X-54832664674304, -860067201024*X^4+18563117088768*X^3-13890326888448*X^2-110554874118144*X-92799345098752, 286583303438336*X^4+1784789765980160*X^3+5121708503597056*X^2+6995398723895296*X+3665801697558528, -8990977163264*X^4-1444558562918400*X^3-6453041796481024*X^2-10447448891719680*X-60878325131771904, -1941368167464960*X^4-15574539257774080*X^3-52954726261587968*X^2-84935160121786368*X-50239772207087616, -347647537840128*X^4+10096815277867008*X^3+70731960971952128*X^2+152715739827011584*X+105689730586247168, 7556977777442816*X^4+60106108802433024*X^3+167509943656644608*X^2+211352179540230144*X+98574395705917440, 4944435070631936*X^4+14362095759917056*X^3-10464945514741760*X^2-101598860136153088*X-95841748533641216, -21130414462599168*X^4-186492565233598464*X^3-509670368718356480*X^2-472903799397154816*X-84379545972506624, -11272193207959552*X^4-22430037206630400*X^3-6772991627100160*X^2+43844125669195776*X+51558299249672192, 25297563531870208*X^4+174197826211807232*X^3+449031752690696192*X^2+503796227846963200*X+212667539044433920, 26194765020135424*X^4+151644643702865920*X^3+296129267685654528*X^2+236614902297395200*X+66656792922292224, -37295434414161920*X^4-240661105087610880*X^3-591801138534154240*X^2-658651445502935040*X-280419445547991040, 7036874417766400*(X+2)^4]", "text": "This is operator \"24.14\" from ...", "degz": 24, "h3": null, "sol": "1 4 52 464 1412 -693765232/5625 -6731441951024/1366875 -61182688180883776/468838125 -1257035453283020332/468838125 -40668093989763282842512/1025348979375", "n_discr_factors": "1", "c3": null, "operator": "4 24 0 0 0 0 27 -108 -720 -1944 -2448 -1080 2736 30048 69360 49728 6192 754752 1866368 1820032 1034752 419840 3554304 17959936 26789888 860160 -4396032 -18164736 -543836160 -539981824 -47063040 4685824 -2630938624 -4393951232 -1724329984 1100398592 1038209024 2922299392 2510028800 3547955200 15843262464 -4405100544 15624830976 -75539939328 -250203865088 -24164696064 -18063097856 226505523200 128318439424 -94561632256 -81321263104 651701518336 8119969120256 16455131201536 12803802923008 4151480156160 149315125248 -54832664674304 -135180991856640 -137193184034816 -70266805813248 -21217440432128 -92799345098752 -110554874118144 -13890326888448 18563117088768 -860067201024 3665801697558528 6995398723895296 5121708503597056 1784789765980160 286583303438336 -60878325131771904 -10447448891719680 -6453041796481024 -1444558562918400 -8990977163264 -50239772207087616 -84935160121786368 -52954726261587968 -15574539257774080 -1941368167464960 105689730586247168 152715739827011584 70731960971952128 10096815277867008 -347647537840128 98574395705917440 211352179540230144 167509943656644608 60106108802433024 7556977777442816 -95841748533641216 -101598860136153088 -10464945514741760 14362095759917056 4944435070631936 -84379545972506624 -472903799397154816 -509670368718356480 -186492565233598464 -21130414462599168 51558299249672192 43844125669195776 -6772991627100160 -22430037206630400 -11272193207959552 212667539044433920 503796227846963200 449031752690696192 174197826211807232 25297563531870208 66656792922292224 236614902297395200 296129267685654528 151644643702865920 26194765020135424 -280419445547991040 -658651445502935040 -591801138534154240 -240661105087610880 -37295434414161920 112589990684262400 225179981368524800 168884986026393600 56294995342131200 7036874417766400", "new_number": "24.14", "id": 589, "operator_tex": "3^{3} \\theta^4-2^{2} 3^{2} x\\left(30\\theta^4+68\\theta^3+54\\theta^2+20\\theta+3\\right)+2^{4} 3 x^{2}\\left(129\\theta^4+1036\\theta^3+1445\\theta^2+626\\theta+57\\right)+2^{6} x^{3}\\left(6560\\theta^4+16168\\theta^3+28438\\theta^2+29162\\theta+11793\\right)-2^{10} x^{4}\\left(4293\\theta^4-840\\theta^3-26162\\theta^2-17539\\theta-3471\\right)+2^{10} x^{5}\\left(4576\\theta^4-45960\\theta^3-527326\\theta^2-531090\\theta-17739\\right)+2^{12} x^{6}\\left(253469\\theta^4+268652\\theta^3-420979\\theta^2-1072742\\theta-642319\\right)-2^{14} x^{7}\\left(268866\\theta^4-966996\\theta^3-216550\\theta^2-153200\\theta-178363\\right)-2^{16} x^{8}\\left(275621\\theta^4+368724\\theta^3+3817808\\theta^2+1152648\\theta-238416\\right)+2^{19} x^{9}\\left(1243022\\theta^4-155108\\theta^3-180362\\theta^2+244748\\theta+432025\\right)+2^{21} x^{10}\\left(71199\\theta^4+1979580\\theta^3+6105329\\theta^2+7846418\\theta+3871903\\right)-2^{23} x^{11}\\left(2529316\\theta^4+8376456\\theta^3+16354702\\theta^2+16114830\\theta+6536563\\right)-2^{27} x^{12}\\left(6408\\theta^4-138306\\theta^3+103491\\theta^2+823698\\theta+691409\\right)+2^{27} x^{13}\\left(2135212\\theta^4+13297720\\theta^3+38159702\\theta^2+52119782\\theta+27312351\\right)-2^{29} x^{14}\\left(16747\\theta^4+2690700\\theta^3+12019727\\theta^2+19459890\\theta+113394717\\right)-2^{31} x^{15}\\left(904020\\theta^4+7252460\\theta^3+24658966\\theta^2+39551016\\theta+23394717\\right)-2^{32} x^{16}\\left(80943\\theta^4-2350848\\theta^3-16468568\\theta^2-35556904\\theta-24607808\\right)+2^{34} x^{17}\\left(439874\\theta^4+3498636\\theta^3+9750362\\theta^2+12302316\\theta+5737785\\right)+2^{36} x^{18}\\left(71951\\theta^4+208996\\theta^3-152285\\theta^2-1478458\\theta-1394681\\right)-2^{38} x^{19}\\left(76872\\theta^4+678456\\theta^3+1854170\\theta^2+1720414\\theta+306971\\right)-2^{42} x^{20}\\left(2563\\theta^4+5100\\theta^3+1540\\theta^2-9969\\theta-11723\\right)+2^{42} x^{21}\\left(5752\\theta^4+39608\\theta^3+102098\\theta^2+114550\\theta+48355\\right)+2^{44} x^{22}\\left(1489\\theta^4+8620\\theta^3+16833\\theta^2+13450\\theta+3789\\right)-2^{46} 5 x^{23}\\left(106\\theta^4+684\\theta^3+1682\\theta^2+1872\\theta+797\\right)+2^{48} 5^{2} x^{24}\\left((\\theta+2)^4\\right)", "superseek": "16/3 -880/81", "discriminant": "24 27 -1080 6192 419840 -4396032 4685824 1038209024 -4405100544 -18063097856 651701518336 149315125248 -21217440432128 -860067201024 286583303438336 -8990977163264 -1941368167464960 -347647537840128 7556977777442816 4944435070631936 -21130414462599168 -11272193207959552 25297563531870208 26194765020135424 -37295434414161920 7036874417766400", "aesz": null, "n_sing_complex": null, "inst_int": null, "c2h": null, "hash": "13173bd8cb75baee8a898c9c6303c117", "dim_h": null, "inst": " 16/3 -133/18 -880/81 -247636/243 44329772416/11390625 -10102523899147/369056250 6287467962653104496/7236516459375 -2356715252638153139/1181472075000 2418459802034766478019968/26161779208753125 -4580667016504767623896545268/3027983704716796875", "cleanlist": "True", "n_sing_real": null, "sol_explicit": null, "n_sing_rational": null, "n_sing": null, "laurent": null, "discriminant_tex": "27-1080z+26194765020135424z^22-37295434414161920z^23+7036874417766400z^24+1038209024z^6-4405100544z^7-18063097856z^8+651701518336z^9+149315125248z^10-347647537840128z^16+7556977777442816z^17+6192z^2+419840z^3-4396032z^4+4685824z^5+4944435070631936z^18-21217440432128z^11-860067201024z^12+286583303438336z^13-8990977163264z^14-1941368167464960z^15-21130414462599168z^19-11272193207959552z^20+25297563531870208z^21", "discr_factors": "7036874417766400, -27/175921860444160*z+1489/400*z^22-53/10*z^23+z^24+253469/1717986918400*z^6-134433/214748364800*z^7-275621/107374182400*z^8+621511/6710886400*z^9+71199/3355443200*z^10-80943/1638400*z^16+219937/204800*z^17+387/439804651110400*z^2+41/687194767360*z^3-4293/6871947673600*z^4+143/214748364800*z^5+71951/102400*z^18-632329/209715200*z^11-801/6553600*z^12+533803/13107200*z^13-16747/13107200*z^14-45201/163840*z^15-9609/3200*z^19-2563/1600*z^20+719/200*z^21+27/7036874417766400", "dm_basis": null, "q": "0 1 -32/3 242/3 -11008/81 132799/243 -762180928/28125 12747768376706/20503125 -678516030381589504/49228003125 8667116936088297514/49228003125", "yuk": "1 16/3 -484/9 -288 -15861772/243 44330258416/91125 -40412467884088/6834375 6287468075174254496/21097715625 -150839416210342838396/147684009375 2418459791699248765919968/35887214278125", "gv2": null, "gv0": null, "gv1": null}]}