Magma V2.19-8 Tue Aug 20 2013 16:14:41 on localhost [Seed = 2715827646] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s670 geometric_solution 5.16454907 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.492365789440 0.222816093718 2 0 3 0 0132 2310 0132 0132 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0.821860371946 0.540067009998 1 3 4 5 0132 0213 0132 0132 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 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 0.632205351633 0.686167061888 5 4 2 1 1023 1023 0213 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 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 -1 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 0.632205351633 0.686167061888 3 4 4 2 1023 1230 3012 0132 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.273751948199 0.788236750320 5 3 2 5 3201 1023 0132 2310 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.144070842081 0.947799674705 ==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_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_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_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_1']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : 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' : negation(d['c_0011_1']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : d['c_0101_0'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0011_1']), '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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t + 21682524219873485/4533141819262057*c_0101_4^21 - 121502927004274417/4533141819262057*c_0101_4^19 - 812100602991117245/4533141819262057*c_0101_4^17 + 1574096022834561681/4533141819262057*c_0101_4^15 + 11311902985663556329/4533141819262057*c_0101_4^13 - 35686371243102988/4533141819262057*c_0101_4^11 - 13950371588860579469/4533141819262057*c_0101_4^9 - 12322339516946900015/4533141819262057*c_0101_4^7 - 263803789373523392/4533141819262057*c_0101_4^5 + 2878797048057607217/4533141819262057*c_0101_4^3 + 586958711336310434/4533141819262057*c_0101_4, c_0011_0 - 1, c_0011_1 + 23673511629254/4533141819262057*c_0101_4^20 - 133621499099534/4533141819262057*c_0101_4^18 - 858145015753324/4533141819262057*c_0101_4^16 + 1602696004750551/4533141819262057*c_0101_4^14 + 11555074591792556/4533141819262057*c_0101_4^12 + 1882154350215918/4533141819262057*c_0101_4^10 - 5344280806255633/4533141819262057*c_0101_4^8 - 23319864275760457/4533141819262057*c_0101_4^6 - 7101768039519271/4533141819262057*c_0101_4^4 + 4587138833945437/4533141819262057*c_0101_4^2 + 3156542469677250/4533141819262057, c_0011_3 + 924101729582720/4533141819262057*c_0101_4^21 - 5544809153521231/4533141819262057*c_0101_4^19 - 32343299612463263/4533141819262057*c_0101_4^17 + 79495434433860418/4533141819262057*c_0101_4^15 + 448153719582645328/4533141819262057*c_0101_4^13 - 173405274439698540/4533141819262057*c_0101_4^11 - 492359861390885925/4533141819262057*c_0101_4^9 - 340338800528104893/4533141819262057*c_0101_4^7 + 93716829417738476/4533141819262057*c_0101_4^5 + 55116252755478464/4533141819262057*c_0101_4^3 + 5720523402368194/4533141819262057*c_0101_4, c_0101_0 + 939495553348426/4533141819262057*c_0101_4^21 - 5788198234089203/4533141819262057*c_0101_4^19 - 31950153236075305/4533141819262057*c_0101_4^17 + 85925776309252679/4533141819262057*c_0101_4^15 + 441879509542080531/4533141819262057*c_0101_4^13 - 246457622118854284/4533141819262057*c_0101_4^11 - 461984321986247350/4533141819262057*c_0101_4^9 - 282217473586852127/4533141819262057*c_0101_4^7 + 143275528808646458/4533141819262057*c_0101_4^5 + 41168486024819705/4533141819262057*c_0101_4^3 + 4436613935916375/4533141819262057*c_0101_4, c_0101_1 - 74861723968204/4533141819262057*c_0101_4^20 + 395712126490009/4533141819262057*c_0101_4^18 + 2942251038067597/4533141819262057*c_0101_4^16 - 4574606085431759/4533141819262057*c_0101_4^14 - 40962587214141329/4533141819262057*c_0101_4^12 - 11795411063599656/4533141819262057*c_0101_4^10 + 50882434731602805/4533141819262057*c_0101_4^8 + 56253168455975065/4533141819262057*c_0101_4^6 + 7618490293854324/4533141819262057*c_0101_4^4 - 11353092216009124/4533141819262057*c_0101_4^2 - 761920118233221/4533141819262057, c_0101_4^22 - 6*c_0101_4^20 - 35*c_0101_4^18 + 86*c_0101_4^16 + 485*c_0101_4^14 - 187*c_0101_4^12 - 533*c_0101_4^10 - 375*c_0101_4^8 + 99*c_0101_4^6 + 69*c_0101_4^4 + 8*c_0101_4^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB