Magma V2.19-8 Tue Aug 20 2013 16:15:57 on localhost [Seed = 2101141825] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0181 geometric_solution 3.99399075 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 1 0 0 0132 2310 1230 3012 0 0 0 0 0 1 0 -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 2.327191264372 0.082358416665 0 2 2 0 0132 0132 3201 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.222521282576 0.354144251423 1 1 3 3 2310 0132 0132 3201 0 0 0 0 0 1 0 -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 -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 0.228911677875 0.133679612615 4 2 5 2 0132 2310 0132 0132 0 0 0 0 0 0 0 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 0 0 -1 0 0 1 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.289451412404 1.096514602214 3 5 6 5 0132 3201 0132 2310 0 0 0 0 0 0 0 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 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 0.010603120143 1.712600767880 4 6 4 3 3201 1023 2310 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 0 0 0 1 0 -1 0 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.010603120143 1.712600767880 5 6 6 4 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.493001372994 0.301591527775 ==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' : negation(d['1']), 's_3_4' : negation(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' : negation(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' : negation(d['1']), 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_5'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0101_2'], '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' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_5'], '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' : d['c_0011_0'], 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : negation(d['c_0011_5']), 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_0101_1'], '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_3, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t + 26190547879546/922566319731*c_0101_3^16 + 56322031414699/131795188533*c_0101_3^15 + 2377729512238786/922566319731*c_0101_3^14 + 7270841580966307/922566319731*c_0101_3^13 + 11907368845921576/922566319731*c_0101_3^12 + 1596518957385256/131795188533*c_0101_3^11 + 8651704558610758/922566319731*c_0101_3^10 + 1135202677182629/307522106577*c_0101_3^9 - 9934366763410853/922566319731*c_0101_3^8 - 3529011896192492/307522106577*c_0101_3^7 - 389639538207433/102507368859*c_0101_3^6 - 2316358894865812/307522106577*c_0101_3^5 + 248849158013/11389707651*c_0101_3^4 + 184730136726832/34169122953*c_0101_3^3 + 1069393926635362/922566319731*c_0101_3^2 - 28407004249114/131795188533*c_0101_3 + 42131840843980/922566319731, c_0011_0 - 1, c_0011_3 - 114472873/2009948409*c_0101_3^16 - 223297975/287135487*c_0101_3^15 - 8076702994/2009948409*c_0101_3^14 - 18550842454/2009948409*c_0101_3^13 - 14651041555/2009948409*c_0101_3^12 + 820166486/287135487*c_0101_3^11 + 8648396186/2009948409*c_0101_3^10 + 8952106237/669982803*c_0101_3^9 + 57101984006/2009948409*c_0101_3^8 - 2636475319/669982803*c_0101_3^7 - 1459143128/223327601*c_0101_3^6 + 5593964176/669982803*c_0101_3^5 - 5002403064/223327601*c_0101_3^4 - 445408368/223327601*c_0101_3^3 + 8671080527/2009948409*c_0101_3^2 - 24001325/287135487*c_0101_3 + 1362820841/2009948409, c_0011_5 + 37227778673/307522106577*c_0101_3^16 + 77031439565/43931729511*c_0101_3^15 + 3065761480067/307522106577*c_0101_3^14 + 8488955642000/307522106577*c_0101_3^13 + 11518339863029/307522106577*c_0101_3^12 + 1092084421097/43931729511*c_0101_3^11 + 5162633982227/307522106577*c_0101_3^10 - 371737341473/102507368859*c_0101_3^9 - 16353604297087/307522106577*c_0101_3^8 - 2481722013613/102507368859*c_0101_3^7 + 13550236438/34169122953*c_0101_3^6 - 2838764346389/102507368859*c_0101_3^5 + 74775171542/3796569217*c_0101_3^4 + 210136453979/11389707651*c_0101_3^3 - 1019283350044/307522106577*c_0101_3^2 - 51717092/43931729511*c_0101_3 - 34444580521/307522106577, c_0101_0 + 361324846/43931729511*c_0101_3^16 + 3202715734/43931729511*c_0101_3^15 + 794405464/43931729511*c_0101_3^14 - 82150317755/43931729511*c_0101_3^13 - 359735553188/43931729511*c_0101_3^12 - 651939472313/43931729511*c_0101_3^11 - 623666641838/43931729511*c_0101_3^10 - 189907017724/14643909837*c_0101_3^9 - 367548725948/43931729511*c_0101_3^8 + 152314529356/14643909837*c_0101_3^7 + 50229797399/4881303279*c_0101_3^6 + 27363282707/14643909837*c_0101_3^5 + 5103063697/542367031*c_0101_3^4 + 619315663/1627101093*c_0101_3^3 - 220974166583/43931729511*c_0101_3^2 - 33515201347/43931729511*c_0101_3 + 37678334806/43931729511, c_0101_1 + 205223932/2009948409*c_0101_3^16 + 405389818/287135487*c_0101_3^15 + 14923217473/2009948409*c_0101_3^1\ 4 + 35295345712/2009948409*c_0101_3^13 + 30159400897/2009948409*c_0101_3^12 - 1154435819/287135487*c_0101_3^11 - 13869504491/2009948409*c_0101_3^10 - 12852357361/669982803*c_0101_3^9 - 96765307475/2009948409*c_0101_3^8 + 4412179270/669982803*c_0101_3^7 + 4631817458/223327601*c_0101_3^6 - 11333814061/669982803*c_0101_3^5 + 7447045488/223327601*c_0101_3^4 + 2079968547/223327601*c_0101_3^3 - 26672006330/2009948409*c_0101_3^2 - 377176690/287135487*c_0101_3 - 121776155/2009948409, c_0101_2 + 33950974591/307522106577*c_0101_3^16 + 67900227472/43931729511*c_0101_3^15 + 2549239506196/307522106577*c_0101_3^14 + 6277701452437/307522106577*c_0101_3^13 + 6188433859774/307522106577*c_0101_3^12 + 56947743166/43931729511*c_0101_3^11 - 886410536702/307522106577*c_0101_3^10 - 1867316029021/102507368859*c_0101_3^9 - 16435561197281/307522106577*c_0101_3^8 - 107608821767/102507368859*c_0101_3^7 + 462396062465/34169122953*c_0101_3^6 - 2219966071972/102507368859*c_0101_3^5 + 124419362118/3796569217*c_0101_3^4 + 115695365941/11389707651*c_0101_3^3 - 2791675121174/307522106577*c_0101_3^2 - 13875864895/43931729511*c_0101_3 - 60421416281/307522106577, c_0101_3^17 + 15*c_0101_3^16 + 90*c_0101_3^15 + 273*c_0101_3^14 + 441*c_0101_3^13 + 405*c_0101_3^12 + 309*c_0101_3^11 + 110*c_0101_3^10 - 389*c_0101_3^9 - 388*c_0101_3^8 - 120*c_0101_3^7 - 255*c_0101_3^6 + 21*c_0101_3^5 + 189*c_0101_3^4 + 37*c_0101_3^3 - 8*c_0101_3^2 - c_0101_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB