{"count": 2, "status":"OK", "data":[{"id": 408, "new_number": "6.24", "degz": 6, "operator": "4 6 0 0 0 0 729 486 1701 1701 0 0 -142560 -461214 -585387 -354780 -88695 -1203984 -3155436 -3076002 -1349460 -224910 21404592 49030128 39883068 13812768 1726596 75055680 156366000 109456200 31273200 3127320 -453152000 -883646400 -555111200 -135945600 -11328800", "operator_tex": "3^{6} \\theta^4+3^{5} x\\left(7\\theta^2+7\\theta+2\\right)-3^{4} x^{2}\\left(1095\\theta^4+4380\\theta^3+7227\\theta^2+5694\\theta+1760\\right)-2 3^{3} x^{3}(\\theta+2)(\\theta+1)(4165\\theta^2+12495\\theta+11148)+2^{2} 3^{2} x^{4}(47961\\theta^2+191844\\theta+148643)(\\theta+2)^2+2^{3} 3^{2} 5 7 17 73 x^{5}(\\theta+1)(\\theta+2)(\\theta+3)(\\theta+4)-2^{5} 5^{2} 7^{2} 17^{2} x^{6}(\\theta+5)(\\theta+4)(\\theta+2)(\\theta+1)", "hash": "aebe18b25bf886c4483ce54370c0fcbe", "dm_basis": null, "cleanlist": "True", "text": "This is operator \"6.24\" from ...", "discriminant": "6 729 0 -88695 -224910 1726596 3127320 -11328800", "discriminant_tex": "-(7z-3)(34z-3)(17z+3)(20z+3)(10z-3)(14z+3)", "n_discr_factors": "6", "discr_factors": "-11328800, z-3/34, z-3/10, z+3/20, z-3/7, z+3/14, z+3/17", "inst": " 1/3 5/6 5/3 19/3 29 281/2 702 11624/3 67528/3 272197/2", "inst_int": "", "gv0": null, "gv1": null, "gv2": null, "n_sing": "7", "n_sing_complex": "0", "n_sing_real": "7", "n_sing_rational": "7", "c3": null, "c2h": null, "h3": null, "dim_h": null, "sol": "1 -2/3 112/9 -8/27 29500/81 221368/243 12431944/729 206859616/2187 7276420876/6561 169125672520/19683", "yuk": "1 1/3 7 136/3 1237/3 10876/3 30400 722359/3 5952725/3 49228048/3", "q": "0 1 -1/3 -134/9 -271/27 12826/81 -14446/243 -2486591/729 -11054017/2187 95735548/6561", "sol_explicit": "", "laurent": null, "pols": "[729*X^4, 1701*X^2+486+1701*X, -461214*X-142560-354780*X^3-585387*X^2-88695*X^4, -54*(X+2)*(X+1)*(4165*X^2+12495*X+11148), 36*(47961*X^2+191844*X+148643)*(X+2)^2, 3127320*(X+1)*(X+2)*(X+3)*(X+4), -11328800*(X+5)*(X+4)*(X+2)*(X+1)]", "aesz": null, "superseek": "1/3 5/3", 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{"id": 574, "new_number": "16.5", "degz": 16, "operator": "4 16 0 0 0 0 9 6 57 162 210 753 -6024 -13690 -9925 2428 28363 -487952 -1256688 -1168896 -356784 595184 -11159456 -36640432 -38718528 -17187808 6607696 -20928640 -471216448 -685948800 -380433280 12287552 3778559232 -231727104 -6167185344 -4635669504 -679455040 95600471040 103935446016 10177251328 -25009650688 -8663699456 1150557124608 1864513024000 967451748352 126547877888 -26193178624 4960543997952 14346313777152 11065770672128 3178632314880 282607747072 -52913409048576 8472929107968 44679330791424 19355098152960 2602827251712 -938810455621632 -754574328594432 -152124392472576 11651348692992 4865107427328 -5631961067421696 -5564067729113088 -2025541003640832 -334061818085376 -22900195196928 -12238869214789632 -12862456590237696 -5344531272695808 -1103669156118528 -100850127077376 12566833857036288 13600721001775104 4788680229126144 493079425449984 -20496657678336 74632824216354816 83618361803538432 34496309738078208 6140995779428352 389639433093120 67658452310163456 77323945497329664 33138833784569856 6312158816108544 450868486864896", "operator_tex": "3^{2} \\theta^4+3 x\\left(251\\theta^4+70\\theta^3+54\\theta^2+19\\theta+2\\right)-x^{2}\\left(9925\\theta^2+13690\\theta-2428\\theta^3-28363\\theta^4+6024\\right)+2^{4} x^{3}\\left(37199\\theta^4-22299\\theta^3-73056\\theta^2-78543\\theta-30497\\right)+2^{4} x^{4}\\left(412981\\theta^4-1074238\\theta^3-2419908\\theta^2-2290027\\theta-697466\\right)+2^{6} x^{5}\\left(191993\\theta^4-5944270\\theta^3-10717950\\theta^2-7362757\\theta-327010\\right)-2^{6} x^{6}\\left(10616485\\theta^4+72432336\\theta^3+96362271\\theta^2+3620736\\theta-59039988\\right)-2^{10} x^{7}\\left(8460644\\theta^4+24423487\\theta^3-9938722\\theta^2-101499459\\theta-93359835\\right)-2^{11} x^{8}\\left(12789638\\theta^4-61790956\\theta^3-472388549\\theta^2-910406750\\theta-561795471\\right)+2^{14} x^{9}\\left(17249008\\theta^4+194008320\\theta^3+675401042\\theta^2+875629503\\theta+302767578\\right)+2^{14} 3^{2} x^{10}\\left(17651552\\theta^4+131260160\\theta^3+303001104\\theta^2+57460728\\theta-358842021\\right)+2^{19} 3 x^{11}\\left(3093152\\theta^4+7407728\\theta^3-96718084\\theta^2-479745438\\theta-596879613\\right)-2^{20} 3^{2} x^{12}\\left(2426592\\theta^4+35398464\\theta^3+214634048\\theta^2+589589832\\theta+596784069\\right)-2^{26} 3^{2} x^{13}\\left(166976\\theta^4+1827328\\theta^3+8848858\\theta^2+21296171\\theta+20263707\\right)-2^{26} 3^{3} x^{14}\\left(11312\\theta^4-272128\\theta^3-2642848\\theta^2-7506168\\theta-6935571\\right)+2^{31} 3^{4} x^{15}\\left(2240\\theta^4+35304\\theta^3+198316\\theta^2+480714\\theta+429057\\right)+2^{32} 3^{8} x^{16}\\left((2\\theta+7)^4\\right)", "hash": "b0d936e56acdf03e3e72e1814442ab50", "dm_basis": null, "cleanlist": "True", "text": "This is operator \"16.5\" from ...", "discriminant": null, "discriminant_tex": null, 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-20928640-380433280*X^3+12287552*X^4-685948800*X^2-471216448*X, -231727104*X-6167185344*X^2-4635669504*X^3+3778559232-679455040*X^4, -8663699456*X^4+103935446016*X+10177251328*X^2-25009650688*X^3+95600471040, 967451748352*X^2+1150557124608-26193178624*X^4+1864513024000*X+126547877888*X^3, 282607747072*X^4+3178632314880*X^3+11065770672128*X^2+4960543997952+14346313777152*X, 44679330791424*X^2-52913409048576+2602827251712*X^4+19355098152960*X^3+8472929107968*X, -152124392472576*X^2+11651348692992*X^3-938810455621632+4865107427328*X^4-754574328594432*X, -5564067729113088*X-334061818085376*X^3-2025541003640832*X^2-5631961067421696-22900195196928*X^4, -12862456590237696*X-1103669156118528*X^3-12238869214789632-100850127077376*X^4-5344531272695808*X^2, 4788680229126144*X^2+493079425449984*X^3-20496657678336*X^4+13600721001775104*X+12566833857036288, 34496309738078208*X^2+74632824216354816+83618361803538432*X+389639433093120*X^4+6140995779428352*X^3, 28179280429056*(2*X+7)^4]", "aesz": null, "superseek": "2/3 -3557/81"}]}