Magma V2.19-8 Tue Aug 20 2013 16:18:38 on localhost [Seed = 3221103246] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2813 geometric_solution 6.04070578 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1302 2031 0132 0132 0 0 0 0 0 0 0 0 1 0 -1 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 1 0 -1 0 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.412395031388 0.336969088340 3 2 4 0 0132 3012 0132 0132 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 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 0.772584556881 0.847413411006 1 5 0 6 1230 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.168435483703 1.645657387254 1 3 3 5 0132 3201 2310 2103 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.203430693282 0.635170185783 6 5 6 1 1023 2031 3201 0132 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 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 1.159457781679 0.858310339830 4 2 6 3 1302 0132 2031 2103 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.323189003385 0.609318714108 4 4 2 5 2310 1023 0132 1302 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 -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 0.582412444859 0.594723991932 ==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' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_0' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : negation(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' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_5' : negation(d['c_0101_1']), 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0011_1'], 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_4'], 'c_1001_4' : negation(d['c_0011_1']), 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : negation(d['c_0011_2']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : d['c_0011_1'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0101_4']), 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : d['c_0011_0'], 'c_1010_4' : negation(d['c_0011_2']), 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : d['c_0101_4'], 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0011_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_2, c_0011_4, c_0101_1, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 17711616239661/2431371972090880*c_0101_4^11 + 89400616973/187028613237760*c_0101_4^10 + 38589199100843/607842993022720*c_0101_4^9 - 50104140325893/173669426577920*c_0101_4^8 + 1716505166179823/607842993022720*c_0101_4^7 + 3106881853426047/303921496511360*c_0101_4^6 + 210635686494591/37990187063920*c_0101_4^5 + 246653366544969/75980374127840*c_0101_4^4 + 5538930612471/949754676598*c_0101_4^3 + 111259998696219/18995093531960*c_0101_4^2 - 387210434273151/9497546765980*c_0101_4 - 66788359109593/4748773382990, c_0011_0 - 1, c_0011_1 + 1054377/19396278272*c_0101_4^11 + 696005/4849069568*c_0101_4^10 + 610935/1212267392*c_0101_4^9 - 187631/173181056*c_0101_4^8 + 9360697/606133696*c_0101_4^7 + 39174017/303066848*c_0101_4^6 + 37614809/151533424*c_0101_4^5 + 18996827/151533424*c_0101_4^4 - 8886719/37883356*c_0101_4^3 + 4284379/37883356*c_0101_4^2 + 1014260/9470839*c_0101_4 - 8276185/9470839, c_0011_2 - 1401293/19396278272*c_0101_4^11 - 838633/4849069568*c_0101_4^10 - 135437/303066848*c_0101_4^9 + 349323/346362112*c_0101_4^8 - 23767241/1212267392*c_0101_4^7 - 53805065/303066848*c_0101_4^6 - 60624009/303066848*c_0101_4^5 - 6962995/151533424*c_0101_4^4 - 40080023/75766712*c_0101_4^3 - 11681697/37883356*c_0101_4^2 + 3576554/9470839*c_0101_4 + 3780860/9470839, c_0011_4 - 44969/303066848*c_0101_4^11 + 1600219/9698139136*c_0101_4^10 - 5674087/4849069568*c_0101_4^9 + 2552119/346362112*c_0101_4^8 - 19165411/303066848*c_0101_4^7 - 88079699/606133696*c_0101_4^6 + 54213599/303066848*c_0101_4^5 + 30994861/151533424*c_0101_4^4 + 2286215/37883356*c_0101_4^3 + 5809697/18941678*c_0101_4^2 + 6385301/9470839*c_0101_4 - 2940647/9470839, c_0101_1 + 773365/19396278272*c_0101_4^11 - 5497/4849069568*c_0101_4^10 + 116281/1212267392*c_0101_4^9 - 236271/173181056*c_0101_4^8 + 982657/75766712*c_0101_4^7 + 20473179/303066848*c_0101_4^6 - 26526803/303066848*c_0101_4^5 - 7783943/37883356*c_0101_4^4 - 2004021/37883356*c_0101_4^3 - 2142863/9470839*c_0101_4^2 + 379461/9470839*c_0101_4 - 2873772/9470839, c_0101_2 + 6237587/19396278272*c_0101_4^11 + 844457/9698139136*c_0101_4^10 + 14380899/4849069568*c_0101_4^9 - 4213275/346362112*c_0101_4^8 + 149381005/1212267392*c_0101_4^7 + 71326939/151533424*c_0101_4^6 + 60367499/151533424*c_0101_4^5 + 31689085/75766712*c_0101_4^4 + 11275881/37883356*c_0101_4^3 + 4701945/37883356*c_0101_4^2 - 21033679/18941678*c_0101_4 - 7643919/9470839, c_0101_4^12 + 8*c_0101_4^10 - 40*c_0101_4^9 + 384*c_0101_4^8 + 1408*c_0101_4^7 + 384*c_0101_4^6 - 512*c_0101_4^5 + 512*c_0101_4^4 + 512*c_0101_4^3 - 6144*c_0101_4^2 - 2048*c_0101_4 + 4096 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB