Magma V2.19-8 Tue Aug 20 2013 16:16:49 on localhost [Seed = 1814950073] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1091 geometric_solution 4.95626311 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 2310 0 0 0 0 0 1 -1 0 0 0 0 0 -1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.469542893808 0.226773730919 0 2 2 0 3201 0132 3201 0132 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 -1 0 1 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 -0.662684142528 0.398584932272 1 1 3 4 2310 0132 0132 0132 0 0 0 0 0 1 0 -1 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 1 -1 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 0.369168182001 0.564248609167 5 6 4 2 0132 0132 2031 0132 0 0 0 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 -1 0 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 0.641368938531 0.414735802237 6 5 2 3 2310 3201 0132 1302 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 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 0.641368938531 0.414735802237 3 5 4 5 0132 2310 2310 3201 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.275618652861 1.416072110456 6 3 4 6 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 1 0 -1 1 0 0 -1 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.900560464535 0.710943281408 ==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' : negation(d['c_0011_3']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0101_3'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0101_3'], 'c_1100_2' : d['c_0101_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0011_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : negation(d['c_0011_3']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0011_0']), 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_6'], 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0011_0'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0101_6']), 'c_0110_6' : negation(d['c_0011_3']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0011_0']), '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_1, c_0011_3, c_0101_0, c_0101_2, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t + 1162731267914194/28115607574679*c_0101_6^16 + 189903573630126/28115607574679*c_0101_6^15 - 23403860522641371/28115607574679*c_0101_6^14 - 15595719615110817/28115607574679*c_0101_6^13 + 47535043586053755/28115607574679*c_0101_6^12 - 90940607928320045/28115607574679*c_0101_6^11 - 62918564877599503/28115607574679*c_0101_6^10 + 258432177508856199/28115607574679*c_0101_6^9 - 181977236890987452/28115607574679*c_0101_6^8 - 161924301032940504/28115607574679*c_0101_6^7 + 372210778263754763/28115607574679*c_0101_6^6 - 176122619995166769/28115607574679*c_0101_6^5 - 92428679249819913/28115607574679*c_0101_6^4 + 167696855024406834/28115607574679*c_0101_6^3 - 78743570777571546/28115607574679*c_0101_6^2 + 13044903945065865/28115607574679*c_0101_6 + 2944688306582722/28115607574679, c_0011_0 - 1, c_0011_1 - 51207112387228/28115607574679*c_0101_6^16 - 22184136784618/28115607574679*c_0101_6^15 + 1026993231387976/28115607574679*c_0101_6^14 + 967896122512203/28115607574679*c_0101_6^13 - 1873668569995281/28115607574679*c_0101_6^12 + 3400670363216995/28115607574679*c_0101_6^11 + 3663554320964760/28115607574679*c_0101_6^10 - 10507057480270409/28115607574679*c_0101_6^9 + 4881861174587205/28115607574679*c_0101_6^8 + 8533262416788125/28115607574679*c_0101_6^7 - 13921924831803632/28115607574679*c_0101_6^6 + 3763695981248944/28115607574679*c_0101_6^5 + 5082964353168524/28115607574679*c_0101_6^4 - 5702176278785717/28115607574679*c_0101_6^3 + 1950454862617079/28115607574679*c_0101_6^2 - 132300955766518/28115607574679*c_0101_6 - 50180015660991/28115607574679, c_0011_3 + 4828728460498/28115607574679*c_0101_6^16 + 1731067371934/28115607574679*c_0101_6^15 - 96424316528420/28115607574679*c_0101_6^14 - 83045991491405/28115607574679*c_0101_6^13 + 172534460492233/28115607574679*c_0101_6^12 - 359480019805906/28115607574679*c_0101_6^11 - 319717130149493/28115607574679*c_0101_6^10 + 1001062067839892/28115607574679*c_0101_6^9 - 610331285342076/28115607574679*c_0101_6^8 - 716893141540690/28115607574679*c_0101_6^7 + 1456819578870548/28115607574679*c_0101_6^6 - 548788685894894/28115607574679*c_0101_6^5 - 430586683215004/28115607574679*c_0101_6^4 + 696321699442708/28115607574679*c_0101_6^3 - 270375436422347/28115607574679*c_0101_6^2 + 6436745250012/28115607574679*c_0101_6 + 37037542745848/28115607574679, c_0101_0 - 21516527010035/28115607574679*c_0101_6^16 - 9768406848634/28115607574679*c_0101_6^15 + 431307485023411/28115607574679*c_0101_6^14 + 414927119146781/28115607574679*c_0101_6^13 - 779692966176206/28115607574679*c_0101_6^12 + 1427573853780925/28115607574679*c_0101_6^11 + 1604048061661568/28115607574679*c_0101_6^10 - 4396383966214386/28115607574679*c_0101_6^9 + 1953991883276446/28115607574679*c_0101_6^8 + 3748357236094626/28115607574679*c_0101_6^7 - 5876108659674669/28115607574679*c_0101_6^6 + 1281444038285660/28115607574679*c_0101_6^5 + 2432525121128778/28115607574679*c_0101_6^4 - 2381861794300212/28115607574679*c_0101_6^3 + 584622638901520/28115607574679*c_0101_6^2 + 110406916840361/28115607574679*c_0101_6 - 42237583835009/28115607574679, c_0101_2 - 28844081286488/28115607574679*c_0101_6^16 - 16782294461018/28115607574679*c_0101_6^15 + 576678616679552/28115607574679*c_0101_6^14 + 633576391841833/28115607574679*c_0101_6^13 - 973401167995888/28115607574679*c_0101_6^12 + 1711279222948665/28115607574679*c_0101_6^11 + 2285823742140622/28115607574679*c_0101_6^10 - 5566047811347251/28115607574679*c_0101_6^9 + 1744787473492624/28115607574679*c_0101_6^8 + 5053766767629486/28115607574679*c_0101_6^7 - 6806173460249117/28115607574679*c_0101_6^6 + 900245518826122/28115607574679*c_0101_6^5 + 2938978579822388/28115607574679*c_0101_6^4 - 2543373435580029/28115607574679*c_0101_6^3 + 625705316014572/28115607574679*c_0101_6^2 + 31127643434113/28115607574679*c_0101_6 - 11987035400806/28115607574679, c_0101_3 + 25977337660754/28115607574679*c_0101_6^16 + 7117248258390/28115607574679*c_0101_6^15 - 523680518561253/28115607574679*c_0101_6^14 - 408964425855685/28115607574679*c_0101_6^13 + 1046364441562051/28115607574679*c_0101_6^12 - 1848398815418130/28115607574679*c_0101_6^11 - 1604465769032906/28115607574679*c_0101_6^10 + 5656406748505305/28115607574679*c_0101_6^9 - 3251584953556716/28115607574679*c_0101_6^8 - 4085171828603183/28115607574679*c_0101_6^7 + 7709949968899579/28115607574679*c_0101_6^6 - 2890943553846552/28115607574679*c_0101_6^5 - 2407450151625651/28115607574679*c_0101_6^4 + 3278262767619129/28115607574679*c_0101_6^3 - 1367942126851697/28115607574679*c_0101_6^2 + 171310427762121/28115607574679*c_0101_6 + 30450389737756/28115607574679, c_0101_6^17 - 20*c_0101_6^15 - 10*c_0101_6^14 + 40*c_0101_6^13 - 89*c_0101_6^12 - 37*c_0101_6^11 + 223*c_0101_6^10 - 207*c_0101_6^9 - 87*c_0101_6^8 + 340*c_0101_6^7 - 232*c_0101_6^6 - 25*c_0101_6^5 + 160*c_0101_6^4 - 107*c_0101_6^3 + 32*c_0101_6^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB