Magma V2.19-8 Tue Aug 20 2013 16:19:13 on localhost [Seed = 1511769950] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3341 geometric_solution 6.48727668 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.421210453381 0.648109521388 0 3 5 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.728748707701 0.892496494760 3 0 4 5 2310 0132 3201 2310 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.728748707701 0.892496494760 3 1 2 3 3012 0132 3201 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.287025454464 0.837922553451 2 6 1 6 2310 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 1 -1 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.050035162674 0.669083903079 2 5 5 1 3201 1230 3012 0132 0 0 0 0 0 -1 1 0 0 0 1 -1 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.800338647269 0.708229854702 6 4 6 4 2310 0132 3201 1023 0 0 0 0 0 0 -1 1 0 0 0 0 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.723000633727 0.308419583061 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_4'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : negation(d['c_0101_6']), 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : negation(d['c_0101_6']), 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 30 Groebner basis: [ t - 3645400131425/21915589113*c_0101_3*c_0101_6^14 + 12636093382445/21915589113*c_0101_3*c_0101_6^13 + 23225544447086/21915589113*c_0101_3*c_0101_6^12 - 90899361811651/21915589113*c_0101_3*c_0101_6^11 - 26468721907282/21915589113*c_0101_3*c_0101_6^10 + 368522622293999/21915589113*c_0101_3*c_0101_6^9 + 40741224644250/2435065457*c_0101_3*c_0101_6^8 - 33029130469061/2435065457*c_0101_3*c_0101_6^7 - 802503243844774/21915589113*c_0101_3*c_0101_6^6 - 426578641158782/21915589113*c_0101_3*c_0101_6^5 + 17881473825277/2435065457*c_0101_3*c_0101_6^4 + 95888320915427/7305196371*c_0101_3*c_0101_6^3 + 125432829196417/21915589113*c_0101_3*c_0101_6^2 + 4603942240306/21915589113*c_0101_3*c_0101_6 - 6466842951110/21915589113*c_0101_3, c_0011_0 - 1, c_0011_4 - 17382800087/2435065457*c_0101_3*c_0101_6^14 + 60575648361/2435065457*c_0101_3*c_0101_6^13 + 109966964125/2435065457*c_0101_3*c_0101_6^12 - 436692153429/2435065457*c_0101_3*c_0101_6^11 - 120263280019/2435065457*c_0101_3*c_0101_6^10 + 1768917348950/2435065457*c_0101_3*c_0101_6^9 + 1716194630735/2435065457*c_0101_3*c_0101_6^8 - 1486302249090/2435065457*c_0101_3*c_0101_6^7 - 3821293055255/2435065457*c_0101_3*c_0101_6^6 - 1930185943786/2435065457*c_0101_3*c_0101_6^5 + 863168607580/2435065457*c_0101_3*c_0101_6^4 + 1376137298497/2435065457*c_0101_3*c_0101_6^3 + 561806181907/2435065457*c_0101_3*c_0101_6^2 - 2007016527/2435065457*c_0101_3*c_0101_6 - 36477644001/2435065457*c_0101_3, c_0101_0 - 44914469290/2435065457*c_0101_6^14 + 155947627282/2435065457*c_0101_6^13 + 285456571281/2435065457*c_0101_6^12 - 1122176255253/2435065457*c_0101_6^11 - 321570386812/2435065457*c_0101_6^10 + 4547738436657/2435065457*c_0101_6^9 + 4495142798244/2435065457*c_0101_6^8 - 3712110479391/2435065457*c_0101_6^7 - 9890601830519/2435065457*c_0101_6^6 - 5190679221447/2435065457*c_0101_6^5 + 2069116691585/2435065457*c_0101_6^4 + 3573899655340/2435065457*c_0101_6^3 + 1519886397792/2435065457*c_0101_6^2 + 21302194589/2435065457*c_0101_6 - 95048750458/2435065457, c_0101_1 + 86599239234/2435065457*c_0101_3*c_0101_6^14 - 300049117504/2435065457*c_0101_3*c_0101_6^13 - 553388629187/2435065457*c_0101_3*c_0101_6^12 + 2162435778120/2435065457*c_0101_3*c_0101_6^11 + 641389585063/2435065457*c_0101_3*c_0101_6^10 - 8786026508646/2435065457*c_0101_3*c_0101_6^9 - 8737778163049/2435065457*c_0101_3*c_0101_6^8 + 7188574103892/2435065457*c_0101_3*c_0101_6^7 + 19193477211411/2435065457*c_0101_3*c_0101_6^6 + 10039342008031/2435065457*c_0101_3*c_0101_6^5 - 4086527863387/2435065457*c_0101_3*c_0101_6^4 - 6949939230220/2435065457*c_0101_3*c_0101_6^3 - 2914778122670/2435065457*c_0101_3*c_0101_6^2 - 27588604918/2435065457*c_0101_3*c_0101_6 + 184191546636/2435065457*c_0101_3, c_0101_2 - 10521357744/2435065457*c_0101_6^14 + 35445194766/2435065457*c_0101_6^13 + 71289752076/2435065457*c_0101_6^12 - 258472616519/2435065457*c_0101_6^11 - 105678614467/2435065457*c_0101_6^10 + 1075050551296/2435065457*c_0101_6^9 + 1161490324410/2435065457*c_0101_6^8 - 827122072789/2435065457*c_0101_6^7 - 2448148975696/2435065457*c_0101_6^6 - 1379705541510/2435065457*c_0101_6^5 + 477934350703/2435065457*c_0101_6^4 + 911460098885/2435065457*c_0101_6^3 + 396799961181/2435065457*c_0101_6^2 + 4887042115/2435065457*c_0101_6 - 26700971642/2435065457, c_0101_3^2 + 10521357744/2435065457*c_0101_6^14 - 35445194766/2435065457*c_0101_6^13 - 71289752076/2435065457*c_0101_6^12 + 258472616519/2435065457*c_0101_6^11 + 105678614467/2435065457*c_0101_6^10 - 1075050551296/2435065457*c_0101_6^9 - 1161490324410/2435065457*c_0101_6^8 + 827122072789/2435065457*c_0101_6^7 + 2448148975696/2435065457*c_0101_6^6 + 1379705541510/2435065457*c_0101_6^5 - 477934350703/2435065457*c_0101_6^4 - 911460098885/2435065457*c_0101_6^3 - 396799961181/2435065457*c_0101_6^2 - 4887042115/2435065457*c_0101_6 + 24265906185/2435065457, c_0101_6^15 - 3*c_0101_6^14 - 8*c_0101_6^13 + 22*c_0101_6^12 + 19*c_0101_6^11 - 98*c_0101_6^10 - 148*c_0101_6^9 + 36*c_0101_6^8 + 260*c_0101_6^7 + 219*c_0101_6^6 + 7*c_0101_6^5 - 102*c_0101_6^4 - 71*c_0101_6^3 - 16*c_0101_6^2 + 2*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB