Magma V2.19-8 Tue Aug 20 2013 16:17:45 on localhost [Seed = 3499183153] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1984 geometric_solution 5.55126347 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 3 0132 0132 3201 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.149558529358 0.496988673120 0 4 3 5 0132 0132 1302 0132 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 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 0.397728021646 0.732033249850 0 0 6 6 2310 0132 3201 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.026993090457 2.893898364324 1 5 0 4 2031 2310 0132 2310 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 0 1 -1 0 0 0 0 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.397728021646 0.732033249850 3 1 5 5 3201 0132 1302 2031 0 0 0 0 0 0 -1 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 -1 1 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 0.874082403864 0.931327645152 4 4 1 3 2031 1302 0132 3201 0 0 0 0 0 0 0 0 1 0 0 -1 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 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 0 0 0 0.346474415867 0.587646902858 2 6 2 6 2310 1302 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.545938871945 0.277502290694 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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' : negation(d['1']), 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(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_6']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0101_0'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_6']), 'c_0101_6' : negation(d['c_0101_0']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_5']), 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : d['c_0011_6'], '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_0110_4'], 'c_1001_4' : d['c_0110_4'], 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0011_5'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0011_5'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : d['c_0110_4'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : negation(d['c_0101_2']), 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : negation(d['c_0110_4']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_0110_4'], 'c_1010_0' : 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_0011_6, c_0101_0, c_0101_2, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 32 Groebner basis: [ t - 151541734665473625/231654108135424*c_0101_2*c_0110_4^15 + 1555552523629525899/463308216270848*c_0101_2*c_0110_4^14 + 705242926571542107/926616432541696*c_0101_2*c_0110_4^13 - 6293594155215463901/231654108135424*c_0101_2*c_0110_4^12 + 48145143246837780417/926616432541696*c_0101_2*c_0110_4^11 - 996003078950854805/115827054067712*c_0101_2*c_0110_4^10 - 94771035621573335903/926616432541696*c_0101_2*c_0110_4^9 + 144126087850051206819/926616432541696*c_0101_2*c_0110_4^8 - 12245618474783405455/231654108135424*c_0101_2*c_0110_4^7 - 13318370164285809093/115827054067712*c_0101_2*c_0110_4^6 + 9926938332255662895/57913527033856*c_0101_2*c_0110_4^5 - 1182716514510777257/14478381758464*c_0101_2*c_0110_4^4 - 434486438813951177/14478381758464*c_0101_2*c_0110_4^3 + 463028241674478461/7239190879232*c_0101_2*c_0110_4^2 - 33188805031845195/904898859904*c_0101_2*c_0110_4 + 30099077789133809/3619595439616*c_0101_2, c_0011_0 - 1, c_0011_3 + 162940915225/13108539392*c_0101_2*c_0110_4^15 - 1635821988483/26217078784*c_0101_2*c_0110_4^14 - 1071473151219/52434157568*c_0101_2*c_0110_4^13 + 3337403744921/6554269696*c_0101_2*c_0110_4^12 - 49002117828913/52434157568*c_0101_2*c_0110_4^11 + 1307505760557/13108539392*c_0101_2*c_0110_4^10 + 99662026833567/52434157568*c_0101_2*c_0110_4^9 - 145312072411383/52434157568*c_0101_2*c_0110_4^8 + 2753251089545/3277134848*c_0101_2*c_0110_4^7 + 14038022983445/6554269696*c_0101_2*c_0110_4^6 - 623456059981/204820928*c_0101_2*c_0110_4^5 + 282710789841/204820928*c_0101_2*c_0110_4^4 + 29875897383/51205232*c_0101_2*c_0110_4^3 - 465234075229/409641856*c_0101_2*c_0110_4^2 + 129522689713/204820928*c_0101_2*c_0110_4 - 28483129625/204820928*c_0101_2, c_0011_5 - 16835152081/52434157568*c_0101_2*c_0110_4^15 + 191914424859/104868315136*c_0101_2*c_0110_4^14 - 45341856021/209736630272*c_0101_2*c_0110_4^13 - 48648150905/3277134848*c_0101_2*c_0110_4^12 + 6455720004049/209736630272*c_0101_2*c_0110_4^11 - 384935630955/52434157568*c_0101_2*c_0110_4^10 - 12163189391151/209736630272*c_0101_2*c_0110_4^9 + 19585923496647/209736630272*c_0101_2*c_0110_4^8 - 236314935085/6554269696*c_0101_2*c_0110_4^7 - 436738680303/6554269696*c_0101_2*c_0110_4^6 + 688624309103/6554269696*c_0101_2*c_0110_4^5 - 346407069525/6554269696*c_0101_2*c_0110_4^4 - 13364878375/819283712*c_0101_2*c_0110_4^3 + 8290945829/204820928*c_0101_2*c_0110_4^2 - 19756385183/819283712*c_0101_2*c_0110_4 + 4573165627/819283712*c_0101_2, c_0011_6 + 105456142781/26217078784*c_0110_4^15 - 1090449472883/52434157568*c_0110_4^14 - 454991044675/104868315136*c_0110_4^13 + 8856736642995/52434157568*c_0110_4^12 - 33853483710153/104868315136*c_0110_4^11 + 2595499393735/52434157568*c_0110_4^10 + 67081959120551/104868315136*c_0110_4^9 - 100599952131657/104868315136*c_0110_4^8 + 16360419027945/52434157568*c_0110_4^7 + 18871362825879/26217078784*c_0110_4^6 - 13771222059591/13108539392*c_0110_4^5 + 3213703989537/6554269696*c_0110_4^4 + 622335546467/3277134848*c_0110_4^3 - 639303576187/1638567424*c_0110_4^2 + 181574444821/819283712*c_0110_4 - 5039424563/102410464, c_0101_0 - 39987603117/52434157568*c_0110_4^15 + 442272114623/104868315136*c_0110_4^14 - 30038863537/209736630272*c_0110_4^13 - 895539315357/26217078784*c_0110_4^12 + 14729761231293/209736630272*c_0110_4^11 - 810603159709/52434157568*c_0110_4^10 - 28554170383875/209736630272*c_0110_4^9 + 44597066821139/209736630272*c_0110_4^8 - 1905148578859/26217078784*c_0110_4^7 - 2098442146755/13108539392*c_0110_4^6 + 24214347661/102410464*c_0110_4^5 - 714285672435/6554269696*c_0110_4^4 - 76302915931/1638567424*c_0110_4^3 + 73188116925/819283712*c_0110_4^2 - 40119623637/819283712*c_0110_4 + 8197136315/819283712, c_0101_2^2 - 178062569597/52434157568*c_0110_4^15 + 1897563008399/104868315136*c_0110_4^14 + 301027851615/209736630272*c_0110_4^13 - 3815025809531/26217078784*c_0110_4^12 + 61311816758333/209736630272*c_0110_4^11 - 3375598731561/52434157568*c_0110_4^10 - 117070843251619/209736630272*c_0110_4^9 + 184320496352531/209736630272*c_0110_4^8 - 8414493579619/26217078784*c_0110_4^7 - 2058407199975/3277134848*c_0110_4^6 + 3167033624751/3277134848*c_0110_4^5 - 3112275763241/6554269696*c_0110_4^4 - 258493044143/1638567424*c_0110_4^3 + 147017476375/409641856*c_0110_4^2 - 172374418969/819283712*c_0110_4 + 39202438663/819283712, c_0110_4^16 - 133/22*c_0110_4^15 + 155/44*c_0110_4^14 + 937/22*c_0110_4^13 - 5163/44*c_0110_4^12 + 1885/22*c_0110_4^11 + 6349/44*c_0110_4^10 - 16743/44*c_0110_4^9 + 6557/22*c_0110_4^8 + 1120/11*c_0110_4^7 - 4648/11*c_0110_4^6 + 4008/11*c_0110_4^5 - 752/11*c_0110_4^4 - 1536/11*c_0110_4^3 + 1600/11*c_0110_4^2 - 64*c_0110_4 + 128/11 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB