// Takes less than a minute to run over this finite field // FF:=FiniteField(67); // rr:=23; // Takes about a couple minutes to run over the number field FF:=QuadraticField(-7); RR:=PolynomialRing(FF,6,"grevlex"); Gens := [(-763055/30032 + (2678715*rr)/210224)*Z1*Z2^2*Z3^3 + (113625/7508 - (703853*rr)/52556)*Z1^2*Z3^4 + (-721721/120128 + (6219597*rr)/840896)*Z1*Z2^3*Z3*Z4 + (-1003867/60064 + (4149591*rr)/420448)*Z1^2*Z2*Z3^2*Z4 + (-71671/15016 + (78981*rr)/15016)*Z1^2*Z2^2*Z4^2 + (-348885/60064 - (513895*rr)/420448)*Z1^3*Z3*Z4^2 + (47/4 - (45*rr)/4)*Z3^3*Z4^3 + (-6725619/60064 - (6285617*rr)/420448)*Z2*Z3* Z4^4 + (-780201/240256 + (1223293*rr)/1681792)*Z1*Z2^4*Z5 + (5383727/240256 + (4047045*rr)/1681792)*Z1^2*Z2^2*Z3*Z5 + (-215271/30032 + (93267*rr)/210224)*Z1^3*Z3^2*Z5 + (598887/120128 + (49451*rr)/120128)*Z1^3*Z2*Z4*Z5 + (-21 + 31*rr)*Z3^4*Z4*Z5 + (1382381/15016 - (1073809*rr)/105112)*Z2*Z3^2* Z4^2*Z5 + (1707165/60064 + (820553*rr)/60064)*Z2^2*Z4^3*Z5 + (-323349/15016 + (2978265*rr)/105112)*Z1*Z3*Z4^3*Z5 + (-88175/3754 + (190523*rr)/26278)*Z2*Z3^3*Z5^2 + (-1125139/30032 - (5252497*rr)/210224)*Z2^2*Z3*Z4*Z5^2 + (-138905/3754 - (380243*rr)/26278)*Z1*Z3^2*Z4*Z5^2 + (1748791/120128 - (9482723*rr)/840896)*Z1*Z2*Z4^2*Z5^2 + (-217661/60064 + (103319*rr)/60064)*Z2^3*Z5^3 + (326851/30032 - (1264351*rr)/210224)*Z1*Z2*Z3*Z5^3 + (-459551/60064 + (179435*rr)/420448)*Z1^2*Z4*Z5^3 + (144183/240256 + (1186333*rr)/1681792)*Z1^2*Z2^3*Z6 + (327443/60064 + (114833*rr)/420448)*Z1^3*Z2*Z3*Z6 + (-22 + 2*rr)*Z3^5*Z6 + (-32961/240256 - (227211*rr)/1681792)*Z1^4*Z4*Z6 + (-63511/15016 - (2124733*rr)/105112)*Z2*Z3^3*Z4*Z6 + (1000835/30032 - (1849759*rr)/210224)*Z2^2*Z3*Z4^2*Z6 + (-1360601/30032 + (81773*rr)/210224)*Z1*Z3^2*Z4^2*Z6 + (1794885/120128 + (13238327*rr)/840896)*Z1*Z2*Z4^3*Z6 + (-729023/30032 - (1139445*rr)/210224)*Z2^2*Z3^2*Z5*Z6 + (257695/7508 - (915499*rr)/52556)*Z1*Z3^3*Z5*Z6 + (-13835/60064 + (4457927*rr)/420448)*Z2^3*Z4*Z5*Z6 + (-1813199/60064 - (5453989*rr)/420448)*Z1*Z2*Z3*Z4*Z5*Z6 + (1176485/120128 - (147369*rr)/840896)*Z1^2*Z4^2*Z5*Z6 + (2448103/120128 + (3705517*rr)/840896)*Z1*Z2^2*Z5^2*Z6 + (-1228523/60064 - (1986905*rr)/420448)*Z1^2*Z3*Z5^2*Z6 + (392347/15016 - (599479*rr)/105112)*Z2*Z5^4*Z6 + (-420809/240256 + (4175133*rr)/1681792)*Z2^3*Z3*Z6^2 + (-1282459/60064 + (141975*rr)/420448)*Z1*Z2*Z3^2*Z6^2 + (1462257/240256 - (561509*rr)/1681792)*Z1*Z2^2*Z4*Z6^2 + (146339/60064 + (470519*rr)/60064)*Z1^2*Z3*Z4*Z6^2 + (138889/60064 + (4933*rr)/60064)*Z1^2*Z2*Z5*Z6^2 + (86079/15016 - (490859*rr)/105112)*Z2*Z4*Z5^2*Z6^2 + (-44617/15016 - (560403*rr)/105112)*Z1*Z5^3*Z6^2 + (77333/120128 + (20193*rr)/120128)*Z1^3*Z6^3 + (1312253/120128 - (4999137*rr)/840896)*Z2*Z4^2*Z6^3 + (-432597/60064 - (2073447*rr)/420448)*Z2*Z3*Z5*Z6^3 + (-269819/60064 + (500919*rr)/420448)*Z1*Z4*Z5*Z6^3 + (-186315/60064 + (329159*rr)/420448)*Z2^2*Z6^4 + (8967/3754 - (31511*rr)/26278)*Z1*Z3*Z6^4 + Z5*Z6^5, (186393/240256 - (4244781*rr)/1681792)*Z1*Z2^2*Z3^3 + (37275/60064 + (685977*rr)/420448)*Z1^2*Z3^4 + (-220525/961024 - (6260719*rr)/6727168)*Z1*Z2^3*Z3*Z4 + (1340381/480512 - (5085121*rr)/3363584)*Z1^2*Z2*Z3^2*Z4 + (-41147/120128 - (75567*rr)/120128)*Z1^2*Z2^2*Z4^2 + (888683/480512 + (566617*rr)/3363584)*Z1^3*Z3*Z4^2 + (11/32 - (65*rr)/32)*Z3^3*Z4^3 + (6584313/480512 - (482061*rr)/3363584)*Z2* Z3*Z4^4 + (713187/1922048 - (2358143*rr)/13454336)*Z1*Z2^4*Z5 + (-3630621/1922048 + (4676993*rr)/13454336)*Z1^2*Z2^2*Z3*Z5 + (68737/120128 - (144821*rr)/840896)*Z1^3*Z3^2*Z5 + (-18121/961024 + (151483*rr)/961024)*Z1^3*Z2*Z4*Z5 + (-21/8 - (17*rr)/8)*Z3^4*Z4*Z5 + (-2138731/120128 - (53465*rr)/840896)*Z2* Z3^2*Z4^2*Z5 + (-2062519/480512 - (518459*rr)/480512)*Z2^2*Z4^3*Z5 + (-335523/120128 - (2796225*rr)/840896)*Z1*Z3*Z4^3*Z5 + (161289/30032 + (275875*rr)/210224)*Z2*Z3^3*Z5^2 + (882097/240256 + (4563803*rr)/1681792)*Z2^2*Z3*Z4*Z5^2 + (76477/15016 + (228059*rr)/105112)*Z1*Z3^2*Z4*Z5^2 + (-217749/961024 + (9933657*rr)/6727168)*Z1*Z2*Z4^2*Z5^2 + (-166969/480512 - (50421*rr)/480512)*Z2^3*Z5^3 + (-157025/240256 + (859413*rr)/1681792)*Z1*Z2*Z3*Z5^3 + (542613/480512 - (1267289*rr)/3363584)*Z1^2*Z4*Z5^3 + Z4^2*Z5^4 + (-493373/1922048 - (879967*rr)/13454336)*Z1^2*Z2^3*Z6 + (-58139/480512 + (36695*rr)/3363584)*Z1^3*Z2*Z3*Z6 + (35/4 - rr/4)*Z3^5*Z6 + (586415/1922048 + (731205*rr)/13454336)*Z1^4*Z4* Z6 + (451557/120128 + (2285879*rr)/840896)*Z2*Z3^3*Z4*Z6 + (-1033285/240256 + (2895817*rr)/1681792)*Z2^2*Z3*Z4^2*Z6 + (1004883/240256 - (3159215*rr)/1681792)*Z1*Z3^2*Z4^2*Z6 + (-3463087/961024 - (9483077*rr)/6727168)*Z1*Z2*Z4^3*Z6 + (1081405/240256 - (292065*rr)/1681792)*Z2^2*Z3^2*Z5*Z6 + (-65895/60064 + (1067467*rr)/420448)*Z1*Z3^3*Z5*Z6 + (-560143/480512 - (2959333*rr)/3363584)*Z2^3*Z4*Z5*Z6 + (1192245/480512 + (3359847*rr)/3363584)*Z1*Z2*Z3*Z4*Z5*Z6 + (-933811/961024 - (268017*rr)/6727168)*Z1^2*Z4^2*Z5*Z6 + (-2722677/961024 + (2777465*rr)/6727168)*Z1*Z2^2*Z5^2*Z6 + (941033/480512 + (282515*rr)/3363584)*Z1^2*Z3*Z5^2*Z6 + (-234191/120128 + (632495*rr)/840896)*Z2*Z5^4*Z6 + (-793605/1922048 - (4504439*rr)/13454336)*Z2^3*Z3*Z6^2 + (949129/480512 - (1135117*rr)/3363584)*Z1*Z2*Z3^2*Z6^2 + (-897515/1922048 + (4649255*rr)/13454336)*Z1*Z2^2*Z4*Z6^2 + (-655681/480512 - (357693*rr)/480512)*Z1^2*Z3*Z4*Z6^2 + (57489/480512 + (82053*rr)/480512)*Z1^2*Z2*Z5*Z6^2 + (-85675/120128 + (187963*rr)/840896)*Z2*Z4*Z5^2*Z6^2 + (4439/15016 + (117097*rr)/420448)*Z1*Z5^3*Z6^2 + (57733/961024 + (5041*rr)/961024)*Z1^3*Z6^3 + (-422423/961024 + (5775299*rr)/6727168)*Z2*Z4^2*Z6^3 + (810687/480512 - (1008939*rr)/3363584)*Z2*Z3*Z5*Z6^3 + (-23899/480512 - (413409*rr)/3363584)*Z1*Z4*Z5*Z6^3 + (-68815/480512 - (369277*rr)/3363584)*Z2^2*Z6^4 + (-33063/240256 + (50269*rr)/1681792)*Z1*Z3*Z6^4, (40453/60064 + (474631*rr)/420448)*Z1*Z2^2*Z3^3 + (13919/7508 - (15516*rr)/13139)*Z1^2*Z3^4 + (-417641/240256 + (909693*rr)/1681792)*Z1*Z2^3*Z3*Z4 + (-315079/120128 + (1791491*rr)/840896)*Z1^2*Z2*Z3^2*Z4 + (-37095/30032 - (5739*rr)/30032)*Z1^2*Z2^2*Z4^2 + (-128921/120128 + (134733*rr)/840896)*Z1^3*Z3*Z4^2 + (95/8 + (3*rr)/8)*Z3^3*Z4^3 + (-1085163/120128 - (1547481*rr)/840896)*Z2*Z3* Z4^4 + (-74969/480512 + (934317*rr)/3363584)*Z1*Z2^4*Z5 + (152519/480512 + (2011245*rr)/3363584)*Z1^2*Z2^2*Z3*Z5 + (-6581/15016 - (5409*rr)/105112)*Z1^3*Z3^2*Z5 + (-197789/240256 + (82839*rr)/240256)*Z1^3*Z2*Z4*Z5 + (-7/2 + rr/2)*Z3^4*Z4*Z5 + (755993/30032 - (737693*rr)/210224)*Z2*Z3^2*Z4^2* Z5 + (384837/120128 + (220305*rr)/120128)*Z2^2*Z4^3*Z5 + (-59195/30032 + (104087*rr)/210224)*Z1*Z3*Z4^3*Z5 + (-111235/7508 - (16209*rr)/52556)*Z2*Z3^3*Z5^2 + (-144619/60064 - (1957769*rr)/420448)*Z2^2*Z3*Z4*Z5^2 + (-21717/3754 - (60545*rr)/26278)*Z1*Z3^2*Z4*Z5^2 + (172607/240256 - (852875*rr)/1681792)*Z1*Z2*Z4^2*Z5^2 + (-58469/120128 - (28753*rr)/120128)*Z2^3*Z5^3 + (166101/60064 - (104933*rr)/420448)*Z1*Z2*Z3*Z5^3 + (-64087/120128 + (475667*rr)/840896)*Z1^2*Z4*Z5^3 + (82191/480512 - (439307*rr)/3363584)*Z1^2*Z2^3*Z6 + (18877/120128 + (378639*rr)/840896)*Z1^3*Z2*Z3*Z6 + (-7/2 + (7*rr)/2)*Z3^5*Z6 + (-151877/480512 + (283113*rr)/3363584)*Z1^4*Z4* Z6 + (-24933/30032 - (283603*rr)/210224)*Z2*Z3^3*Z4*Z6 + (179711/60064 - (580011*rr)/420448)*Z2^2*Z3*Z4^2*Z6 + (-31001/60064 - (42419*rr)/420448)*Z1*Z3^2*Z4^2*Z6 + (-129171/240256 + (1505199*rr)/1681792)*Z1*Z2*Z4^3*Z6 + (-135323/60064 + (464463*rr)/420448)*Z2^2*Z3^2*Z5*Z6 + (144263/30032 - (279761*rr)/210224)*Z1*Z3^3*Z5*Z6 + (-208755/120128 + (574975*rr)/840896)*Z2^3*Z4*Z5*Z6 + (25103/120128 - (1494015*rr)/840896)*Z1*Z2*Z3*Z4*Z5*Z6 + (496009/240256 + (895347*rr)/1681792)*Z1^2*Z4^2*Z5*Z6 + (-196989/240256 - (318903*rr)/1681792)*Z1*Z2^2*Z5^2*Z6 + (-2281/3754 - (283505*rr)/420448)*Z1^2*Z3*Z5^2*Z6 + Z4^3*Z5^2*Z6 + (401481/120128 - (37083*rr)/840896)*Z2*Z5^4*Z6 + (95839/480512 - (70795*rr)/3363584)*Z2^3*Z3*Z6^2 + (-22467/60064 - (3921*rr)/13139)*Z1*Z2*Z3^2*Z6^2 + (-70959/480512 - (460421*rr)/3363584)*Z1*Z2^2*Z4*Z6^2 + (-13243/120128 + (75565*rr)/120128)*Z1^2*Z3*Z4*Z6^2 + (-185963/240256 + (54003*rr)/240256)*Z1^2*Z2*Z5*Z6^2 + (309865/120128 - (174875*rr)/840896)*Z2*Z4*Z5^2*Z6^2 + (288555/240256 - (792585*rr)/1681792)*Z1*Z5^3*Z6^2 + (-8129/240256 + (21287*rr)/240256)*Z1^3*Z6^3 + (188029/240256 - (729649*rr)/1681792)*Z2*Z4^2*Z6^3 + (272357/120128 + (122379*rr)/840896)*Z2*Z3*Z5*Z6^3 + (-67993/240256 - (608753*rr)/1681792)*Z1*Z4*Z5*Z6^3 + (-42065/240256 - (178937*rr)/1681792)*Z2^2*Z6^4 + (278489/480512 - (549139*rr)/3363584)*Z1*Z3*Z6^4, (1400477/961024 - (3252481*rr)/6727168)*Z1*Z2^2*Z3^3 + (-170801/240256 + (518181*rr)/1681792)*Z1^2*Z3^4 + (2259695/3844096 - (10443515*rr)/26908672)*Z1*Z2^3*Z3*Z4 + (2807697/1922048 - (2297221*rr)/13454336)*Z1^2*Z2*Z3^2*Z4 + (140885/480512 - (136415*rr)/480512)*Z1^2*Z2^2*Z4^2 + (1060103/1922048 + (2183693*rr)/13454336)*Z1^3*Z3*Z4^2 + (295/128 - (21*rr)/128)*Z3^3*Z4^3 + (6933933/1922048 + (13112495*rr)/13454336)*Z2*Z3*Z4^4 + (2223935/7688192 - (1677195*rr)/53817344)*Z1*Z2^4*Z5 + (-5342561/7688192 - (7559787*rr)/53817344)*Z1^2*Z2^2*Z3*Z5 + (151019/480512 - (36903*rr)/3363584)*Z1^3*Z3^2*Z5 + (-576877/3844096 + (70439*rr)/3844096)*Z1^3*Z2*Z4*Z5 + (-49/32 - (13*rr)/32)*Z3^4*Z4*Z5 + (-1955879/480512 - (3393645*rr)/3363584)* Z2*Z3^2*Z4^2*Z5 + (-979043/1922048 - (943031*rr)/1922048)*Z2^2*Z4^3*Z5 + (660729/480512 - (4107277*rr)/3363584)*Z1*Z3*Z4^3*Z5 + (28413/120128 + (313375*rr)/840896)*Z2*Z3^3*Z5^2 + (-187195/961024 + (6782135*rr)/6727168)*Z2^2*Z3*Z4*Z5^2 + (-23611/60064 + (568823*rr)/420448)*Z1*Z3^2*Z4*Z5^2 + (-2985145/3844096 + (13655757*rr)/26908672)*Z1*Z2*Z4^2*Z5^2 + (-164845/1922048 - (88409*rr)/1922048)*Z2^3*Z5^3 + (-356085/961024 + (802873*rr)/6727168)*Z1*Z2*Z3*Z5^3 + (918841/1922048 - (539981*rr)/13454336)*Z1^2*Z4*Z5^3 + Z3*Z5^5 + (-489025/7688192 - (2945035*rr)/53817344)*Z1^2*Z2^3*Z6 + (-180271/1922048 - (287941*rr)/13454336)*Z1^3*Z2*Z3*Z6 + (19/16 + (7*rr)/16)*Z3^5*Z6 + (514443/7688192 + (1620153*rr)/53817344)*Z1^4* Z4*Z6 + (-273351/480512 + (4340403*rr)/3363584)*Z2*Z3^3*Z4*Z6 + (-2134057/961024 + (1066237*rr)/6727168)*Z2^2*Z3*Z4^2*Z6 + (2207471/961024 - (2917115*rr)/6727168)*Z1*Z3^2*Z4^2*Z6 + (-925403/3844096 - (19750697*rr)/26908672)*Z1*Z2*Z4^3*Z6 + (792577/961024 + (3284811*rr)/6727168)*Z2^2*Z3^2*Z5*Z6 + (-429191/240256 + (1410291*rr)/1681792)*Z1*Z3^3*Z5*Z6 + (502197/1922048 - (5529849*rr)/13454336)*Z2^3*Z4*Z5*Z6 + (198777/1922048 + (8664947*rr)/13454336)*Z1*Z2*Z3*Z4*Z5*Z6 + (-1184479/3844096 - (2012245*rr)/26908672)*Z1^2*Z4^2*Z5*Z6 + (-3753913/3844096 - (5035059*rr)/26908672)*Z1*Z2^2*Z5^2*Z6 + (988725/1922048 + (4570119*rr)/13454336)*Z1^2*Z3*Z5^2*Z6 + (-561077/480512 - (360999*rr)/3363584)*Z2*Z5^4*Z6 + (1763543/7688192 - (5711875*rr)/53817344)*Z2^3*Z3*Z6^2 + (1484693/1922048 + (968231*rr)/13454336)*Z1*Z2*Z3^2*Z6^2 + (-2502119/7688192 + (3542099*rr)/53817344)*Z1*Z2^2*Z4*Z6^2 + (67947/1922048 - (792417*rr)/1922048)*Z1^2*Z3*Z4*Z6^2 + (-32559/1922048 + (120813*rr)/1922048)*Z1^2*Z2*Z5*Z6^2 + (-180625/480512 + (336997*rr)/3363584)*Z2*Z4*Z5^2*Z6^2 + (-33733/480512 + (570809*rr)/3363584)*Z1*Z5^3*Z6^2 + (-6839/3844096 - (5051*rr)/3844096)*Z1^3*Z6^3 + (-2658531/3844096 + (5461119*rr)/26908672)*Z2*Z4^2*Z6^3 + (287355/1922048 + (1317641*rr)/13454336)*Z2*Z3*Z5*Z6^3 + (203845/1922048 - (427145*rr)/13454336)*Z1*Z4*Z5*Z6^3 + (114001/1922048 - (207749*rr)/13454336)*Z2^2*Z6^4 + (-7795/60064 - (327*rr)/26278)*Z1*Z3*Z6^4, (490105/240256 + (2915699*rr)/1681792)*Z1*Z2^2*Z3^3 + (-103661/60064 - (444623*rr)/420448)*Z1^2*Z3^4 + (810971/961024 + (3595817*rr)/6727168)*Z1*Z2^3*Z3*Z4 + (-46627/480512 + (4736447*rr)/3363584)*Z1^2*Z2*Z3^2*Z4 + (102933/120128 + (30177*rr)/120128)*Z1^2*Z2^2*Z4^2 + (-525173/480512 + (651193*rr)/3363584)*Z1^3*Z3*Z4^2 + (67/32 + (23*rr)/32)*Z3^3*Z4^3 + (-4386847/480512 + (7280107*rr)/3363584)* Z2*Z3*Z4^4 + (-253909/1922048 + (2729369*rr)/13454336)*Z1*Z2^4*Z5 + (2007291/1922048 - (6511479*rr)/13454336)*Z1^2*Z2^2*Z3*Z5 + (-12663/60064 + (79683*rr)/420448)*Z1^3*Z3^2*Z5 + (-163049/961024 - (83429*rr)/961024)*Z1^3*Z2*Z4*Z5 + (27/8 + (15*rr)/8)*Z3^4*Z4*Z5 + (1223245/120128 - (2663281*rr)/840896)*Z2* Z3^2*Z4^2*Z5 + (2022641/480512 + (96461*rr)/480512)*Z2^2*Z4^3*Z5 + (613881/120128 + (1372403*rr)/840896)*Z1*Z3*Z4^3*Z5 + (-102783/30032 + (11595*rr)/210224)*Z2*Z3^3*Z5^2 + (-1402311/240256 - (2153293*rr)/1681792)*Z2^2*Z3*Z4*Z5^2 + (-39307/7508 - (23913*rr)/52556)*Z1*Z3^2*Z4*Z5^2 + (-1634781/961024 - (6770367*rr)/6727168)*Z1*Z2*Z4^2*Z5^2 + (89119/480512 + (37891*rr)/480512)*Z2^3*Z5^3 + (-27433/240256 - (851651*rr)/1681792)*Z1*Z2*Z3*Z5^3 + (-195907/480512 + (1316703*rr)/3363584)*Z1^2*Z4*Z5^3 + (581899/1922048 - (172999*rr)/13454336)*Z1^2*Z2^3*Z6 + (35641/480512 - (68045*rr)/3363584)*Z1^3*Z2*Z3*Z6 + (-21/4 + (7*rr)/4)*Z3^5*Z6 + (-404465/1922048 + (239461*rr)/13454336)*Z1^4* Z4*Z6 + (-600899/120128 - (783585*rr)/840896)*Z2*Z3^3*Z4*Z6 + (74179/240256 - (2612447*rr)/1681792)*Z2^2*Z3*Z4^2*Z6 + (-226181/240256 + (2769929*rr)/1681792)*Z1*Z3^2*Z4^2*Z6 + (3619961/961024 + (1974899*rr)/6727168)*Z1*Z2*Z4^3*Z6 + (-691243/240256 + (975463*rr)/1681792)*Z2^2*Z3^2*Z5*Z6 + (-100015/60064 - 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(331433*rr)/4232536)*Z1^2*Z2*Z3^3 + (-4645183/9674368 + (48552331*rr)/67720576)*Z1^2*Z2^2*Z3*Z4 + (-11040189/4837184 - (2564959*rr)/33860288)*Z1^3*Z3^2*Z4 + (-31/4 - (3*rr)/4)*Z3^4*Z4^2 + (102087/1209296 + (10712397*rr)/8465072)*Z2* Z3^2*Z4^3 + (-3420429/4837184 - (17584591*rr)/33860288)*Z1*Z3*Z4^4 + (-610547/1758976 - (3040817*rr)/12312832)*Z1^2*Z2^3*Z5 + (-29000713/19348736 + (5053533*rr)/135441152)*Z1^3*Z2*Z3*Z5 + (13 + rr)*Z3^5*Z5 + (-5636005/604648 - (7500055*rr)/4232536)*Z2*Z3^3*Z4* Z5 + (245990/75581 - (1423934*rr)/529067)*Z2^2*Z3*Z4^2*Z5 + (13828333/1209296 + (21194991*rr)/8465072)*Z1*Z3^2*Z4^2*Z5 + (-915413/4837184 + (9587097*rr)/33860288)*Z1*Z2*Z4^3*Z5 + (-1335041/151162 - (1039651*rr)/1058134)*Z2^2*Z3^2*Z5^2 + (11194/6871 - (24924*rr)/48097)*Z1*Z3^3*Z5^2 + (-653891/604648 - (1514945*rr)/4232536)*Z2^3*Z4*Z5^2 + (2436673/1209296 - (22930837*rr)/8465072)*Z1*Z2*Z3*Z4*Z5^2 + (28908761/9674368 - (10582381*rr)/67720576)*Z1^2*Z4^2*Z5^2 + (-4320523/4837184 - (3677241*rr)/33860288)*Z1*Z2^2*Z5^3 + (-1127743/2418592 + (14408139*rr)/16930144)*Z1^2*Z3*Z5^3 + (632239/302324 + (488769*rr)/2116268)*Z2*Z5^5 + (3497033/9674368 + (1259491*rr)/67720576)*Z1^3*Z2^2*Z6 + (-17011705/19348736 + (896013*rr)/135441152)*Z1^4*Z3*Z6 + (-5784661/604648 - (887649*rr)/604648)*Z2*Z3^4*Z6 + (-2062185/604648 - (1243107*rr)/4232536)*Z2^2*Z3^2*Z4*Z6 + (-576393/604648 + (1944219*rr)/604648)*Z1*Z3^3*Z4*Z6 + (-4804769/2418592 - (7335211*rr)/16930144)*Z2^3*Z4^2*Z6 + (1447397/2418592 - (2689257*rr)/16930144)*Z1*Z2*Z3*Z4^2*Z6 + (376861/879488 - (6577281*rr)/6156416)*Z1^2*Z4^3*Z6 + (1154977/2418592 + (3042749*rr)/2418592)*Z2^3*Z3*Z5*Z6 + (1000863/219872 + (1316789*rr)/1539104)*Z1*Z2*Z3^2*Z5*Z6 + (-24591209/9674368 + (531099*rr)/9674368)*Z1*Z2^2*Z4*Z5*Z6 + (7133837/9674368 + (47250767*rr)/67720576)*Z1^2*Z3*Z4*Z5*Z6 + (-14113119/9674368 - (756163*rr)/9674368)*Z1^2*Z2*Z5^2*Z6 + Z3^2*Z5^3*Z6 + (1679111/604648 - (483645*rr)/604648)*Z2*Z4*Z5^3*Z6 + (-1340157/1209296 + (2760913*rr)/8465072)*Z1*Z5^4*Z6 + (5857237/9674368 - (1035417*rr)/67720576)*Z2^4*Z6^2 + (55817/1758976 - (13137245*rr)/12312832)*Z1*Z2^2*Z3*Z6^2 + (16650687/4837184 + (37405045*rr)/33860288)*Z1^2*Z3^2*Z6^2 + (11438545/19348736 + (35284155*rr)/135441152)*Z1^2*Z2*Z4*Z6^2 + (-5258799/9674368 - (1961413*rr)/67720576)*Z1^3*Z5*Z6^2 + (7/8 + (3*rr)/8)*Z3^2*Z4*Z5*Z6^2 + (-1959941/1209296 - (190167*rr)/8465072)* Z2*Z4^2*Z5*Z6^2 + (6698147/1209296 - (9117791*rr)/8465072)*Z2*Z3*Z5^2* Z6^2 + (555613/2418592 + (1849577*rr)/2418592)*Z1*Z4*Z5^2*Z6^2 + (-2349059/2418592 - (16703969*rr)/16930144)*Z2*Z3*Z4*Z6^3 + (-14137861/9674368 - (4315511*rr)/67720576)*Z1*Z4^2*Z6^3 + (-975233/604648 - (1692087*rr)/4232536)*Z2^2*Z5*Z6^3 + (5037135/4837184 + (42413621*rr)/33860288)*Z1*Z3*Z5*Z6^3 + (1245715/4837184 - (4963831*rr)/33860288)*Z1*Z2*Z6^4, (-688409/302324 + (583085*rr)/2116268)*Z1*Z2^3*Z3^2 + (-876503/2418592 + (8907523*rr)/16930144)*Z1^2*Z2*Z3^3 + (-12114341/9674368 - (7468631*rr)/67720576)*Z1^2*Z2^2*Z3*Z4 + (311437/2418592 - (10258865*rr)/16930144)*Z1^3*Z3^2*Z4 + (13/4 - (7*rr)/4)*Z3^4*Z4^2 + (-3362499/1209296 - (1052705*rr)/8465072)*Z2* Z3^2*Z4^3 + (2273423/4837184 - (1201435*rr)/33860288)*Z1*Z3*Z4^4 + (863041/1758976 - (410869*rr)/12312832)*Z1^2*Z2^3*Z5 + (3114387/19348736 - (50610415*rr)/135441152)*Z1^3*Z2*Z3*Z5 + (-1 + 3*rr)*Z3^5*Z5 + (3481333/604648 - (9905977*rr)/4232536)*Z2*Z3^3*Z4* Z5 + (10636115/2418592 + (18475601*rr)/16930144)*Z2^2*Z3*Z4^2*Z5 + (-6737969/1209296 + (22758821*rr)/8465072)*Z1*Z3^2*Z4^2*Z5 + (-1002713/4837184 - (1538707*rr)/33860288)*Z1*Z2*Z4^3*Z5 + (201043/75581 - (1078943*rr)/529067)*Z2^2*Z3^2*Z5^2 + (2617/13742 + (18523*rr)/96194)*Z1*Z3^3*Z5^2 + (151463/302324 - (496147*rr)/2116268)*Z2^3*Z4*Z5^2 + (2595205/604648 + (2847575*rr)/4232536)*Z1*Z2*Z3*Z4*Z5^2 + (-1968259/9674368 + (43617439*rr)/67720576)*Z1^2*Z4^2*Z5^2 + (1847861/4837184 - (6495481*rr)/33860288)*Z1*Z2^2*Z5^3 + (-1584045/1209296 - (1816047*rr)/8465072)*Z1^2*Z3*Z5^3 + (-257317/302324 + (1268609*rr)/2116268)*Z2*Z5^5 + (-26723/604648 + (281119*rr)/4232536)*Z1^3*Z2^2*Z6 + (1262357/19348736 - (29383129*rr)/135441152)*Z1^4*Z3*Z6 + (2512009/604648 - (1740923*rr)/604648)*Z2*Z3^4*Z6 + (2302427/1209296 - (5717975*rr)/8465072)*Z2^2*Z3^2*Z4*Z6 + (-1912409/302324 - (147013*rr)/302324)*Z1*Z3^3*Z4*Z6 + (4293919/4837184 - (11912939*rr)/33860288)*Z2^3*Z4^2*Z6 + (412589/2418592 + (5263535*rr)/16930144)*Z1*Z2*Z3*Z4^2*Z6 + (1382195/879488 + (1509617*rr)/6156416)*Z1^2*Z4^3*Z6 + (-4614799/2418592 + (147533*rr)/2418592)*Z2^3*Z3*Z5*Z6 + (-481439/219872 + (1090091*rr)/1539104)*Z1*Z2*Z3^2*Z5*Z6 + (2944129/9674368 - (5481955*rr)/9674368)*Z1*Z2^2*Z4*Z5*Z6 + (-12369409/9674368 + (595381*rr)/67720576)*Z1^2*Z3*Z4*Z5*Z6 + (1909703/9674368 - (3662837*rr)/9674368)*Z1^2*Z2*Z5^2*Z6 + (658305/604648 + (496381*rr)/604648)*Z2*Z4*Z5^3*Z6 + (-364143/1209296 - (1424949*rr)/8465072)*Z1*Z5^4*Z6 + (-26331/1209296 + (1350487*rr)/8465072)*Z2^4*Z6^2 + (3156113/1758976 + (402299*rr)/12312832)*Z1*Z2^2*Z3*Z6^2 + (-11339761/4837184 + (26197669*rr)/33860288)*Z1^2*Z3^2*Z6^2 + (-9903999/19348736 + (13961419*rr)/135441152)*Z1^2*Z2*Z4*Z6^2 + (553539/9674368 - (8616735*rr)/67720576)*Z1^3*Z5*Z6^2 + (597291/2418592 - (5601383*rr)/16930144)*Z2*Z4^2*Z5*Z6^2 + (859825/1209296 + (13031995*rr)/8465072)*Z2*Z3*Z5^2*Z6^2 + (-2676811/2418592 - (138559*rr)/2418592)*Z1*Z4*Z5^2*Z6^2 + Z3^3*Z6^3 + (4903639/2418592 - (2284483*rr)/16930144)*Z2*Z3*Z4*Z6^3 + (2572843/9674368 - (20951143*rr)/67720576)*Z1*Z4^2*Z6^3 + (2106463/2418592 - (5227307*rr)/16930144)*Z2^2*Z5*Z6^3 + (-9309897/4837184 + (3997933*rr)/33860288)*Z1*Z3*Z5*Z6^3 + (1000391/4837184 + (2126941*rr)/33860288)*Z1*Z2*Z6^4]; I:=Ideal(Gens); HilbertPolynomial(I); IsPrime(I);