Magma V2.19-8 Tue Aug 20 2013 16:17:36 on localhost [Seed = 829468118] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1837 geometric_solution 5.48874299 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 -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 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 1.159957720680 0.907640967607 0 5 5 4 0132 0132 1023 0213 0 0 0 0 0 1 0 -1 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 0 0 0 0 0 0 0.362179686387 0.330913098839 6 0 6 4 0132 0132 1023 2031 0 0 0 0 0 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 0 0 0 0 0 0 0 0 -1 1 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.956620575448 0.683705383437 4 3 3 0 0213 1230 3012 0132 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 1 -1 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 1.063950429907 0.753293952978 3 2 0 1 0213 1302 0132 0213 0 0 0 0 0 0 -1 1 0 0 0 0 0 1 0 -1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.465288243484 0.418399987709 5 1 1 5 3012 0132 1023 1230 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 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 1.692762718999 0.992347488964 2 6 2 6 0132 2310 1023 3201 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 1 -1 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 0.711821868586 0.276902988677 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_1_6' : negation(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' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_0']), 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : d['c_0011_3'], 's_3_6' : negation(d['1']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0011_3'], 'c_1001_4' : d['c_0101_6'], 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_0101_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0011_0'], 'c_0110_4' : negation(d['c_0101_0']), 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : d['c_0101_6']})} 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_3, c_0011_4, c_0101_0, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 173082157215/6052096687*c_0101_6^17 + 382171027129/6052096687*c_0101_6^16 + 45056592585/864585241*c_0101_6^15 - 952841228/35811223*c_0101_6^14 - 1355056956250/6052096687*c_0101_6^13 - 505494895177/864585241*c_0101_6^12 - 3896811666868/6052096687*c_0101_6^11 + 4004139342795/6052096687*c_0101_6^10 + 15877752786543/6052096687*c_0101_6^9 + 10111659272955/6052096687*c_0101_6^8 - 17462225338240/6052096687*c_0101_6^7 - 26741031403155/6052096687*c_0101_6^6 + 276559684294/864585241*c_0101_6^5 + 23681157848392/6052096687*c_0101_6^4 + 1305947373665/864585241*c_0101_6^3 - 1052039509047/864585241*c_0101_6^2 - 4393365588834/6052096687*c_0101_6 - 379072343950/6052096687, c_0011_0 - 1, c_0011_3 + 6486220/5115889*c_0101_6^17 + 18497308/5115889*c_0101_6^16 + 24024415/5115889*c_0101_6^15 + 12847894/5115889*c_0101_6^14 - 34398958/5115889*c_0101_6^13 - 143100683/5115889*c_0101_6^12 - 230805764/5115889*c_0101_6^11 - 11311930/5115889*c_0101_6^10 + 526634039/5115889*c_0101_6^9 + 625008725/5115889*c_0101_6^8 - 263091228/5115889*c_0101_6^7 - 998013085/5115889*c_0101_6^6 - 363385406/5115889*c_0101_6^5 + 600047166/5115889*c_0101_6^4 + 470349890/5115889*c_0101_6^3 - 97289735/5115889*c_0101_6^2 - 135464581/5115889*c_0101_6 - 21635176/5115889, c_0011_4 - 2614350/5115889*c_0101_6^17 - 7322806/5115889*c_0101_6^16 - 8511522/5115889*c_0101_6^15 - 2618576/5115889*c_0101_6^14 + 17509476/5115889*c_0101_6^13 + 60217473/5115889*c_0101_6^12 + 88112073/5115889*c_0101_6^11 - 14730906/5115889*c_0101_6^10 - 241130472/5115889*c_0101_6^9 - 254031775/5115889*c_0101_6^8 + 156716213/5115889*c_0101_6^7 + 461960227/5115889*c_0101_6^6 + 139143413/5115889*c_0101_6^5 - 311017056/5115889*c_0101_6^4 - 232519295/5115889*c_0101_6^3 + 54101184/5115889*c_0101_6^2 + 84132202/5115889*c_0101_6 + 14772514/5115889, c_0101_0 - 14225520/5115889*c_0101_6^17 - 35059722/5115889*c_0101_6^16 - 36211188/5115889*c_0101_6^15 - 3343620/5115889*c_0101_6^14 + 96842954/5115889*c_0101_6^13 + 298884174/5115889*c_0101_6^12 + 392450036/5115889*c_0101_6^11 - 190870555/5115889*c_0101_6^10 - 1241886889/5115889*c_0101_6^9 - 1030858844/5115889*c_0101_6^8 + 1102766012/5115889*c_0101_6^7 + 2170998281/5115889*c_0101_6^6 + 184743157/5115889*c_0101_6^5 - 1685051182/5115889*c_0101_6^4 - 822153575/5115889*c_0101_6^3 + 463962775/5115889*c_0101_6^2 + 319830054/5115889*c_0101_6 + 29264267/5115889, c_0101_2 - 1330279/5115889*c_0101_6^17 - 4828575/5115889*c_0101_6^16 - 6550259/5115889*c_0101_6^15 - 3517279/5115889*c_0101_6^14 + 8267461/5115889*c_0101_6^13 + 36054421/5115889*c_0101_6^12 + 62744578/5115889*c_0101_6^11 + 13829846/5115889*c_0101_6^10 - 140411374/5115889*c_0101_6^9 - 200310294/5115889*c_0101_6^8 + 46110418/5115889*c_0101_6^7 + 321309596/5115889*c_0101_6^6 + 163410451/5115889*c_0101_6^5 - 195276356/5115889*c_0101_6^4 - 204999714/5115889*c_0101_6^3 + 23589520/5115889*c_0101_6^2 + 77864956/5115889*c_0101_6 + 13934776/5115889, c_0101_5 + 16839870/5115889*c_0101_6^17 + 42382528/5115889*c_0101_6^16 + 44722710/5115889*c_0101_6^15 + 5962196/5115889*c_0101_6^14 - 114352430/5115889*c_0101_6^13 - 359101647/5115889*c_0101_6^12 - 480562109/5115889*c_0101_6^11 + 205601461/5115889*c_0101_6^10 + 1483017361/5115889*c_0101_6^9 + 1284890619/5115889*c_0101_6^8 - 1259482225/5115889*c_0101_6^7 - 2632958508/5115889*c_0101_6^6 - 323886570/5115889*c_0101_6^5 + 1996068238/5115889*c_0101_6^4 + 1059788759/5115889*c_0101_6^3 - 512948070/5115889*c_0101_6^2 - 403962256/5115889*c_0101_6 - 49152670/5115889, c_0101_6^18 + 3*c_0101_6^17 + 4*c_0101_6^16 + 2*c_0101_6^15 - 6*c_0101_6^14 - 24*c_0101_6^13 - 39*c_0101_6^12 - 4*c_0101_6^11 + 89*c_0101_6^10 + 116*c_0101_6^9 - 32*c_0101_6^8 - 181*c_0101_6^7 - 92*c_0101_6^6 + 99*c_0101_6^5 + 110*c_0101_6^4 - 34*c_0101_6^2 - 12*c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB