Magma V2.19-8 Tue Aug 20 2013 16:14:31 on localhost [Seed = 3204391614] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s507 geometric_solution 4.89415567 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 4 0132 0132 0132 0132 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 -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 -0.188578492830 0.847198912057 0 1 2 1 0132 2310 3201 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 0.250333902925 1.124638377508 1 0 3 4 2310 0132 1023 1023 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.188578492830 0.847198912057 5 5 2 0 0132 3201 1023 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 -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 -0.252036764241 0.607308035526 4 4 0 2 1230 3012 0132 1023 0 0 0 0 0 -1 1 0 1 0 0 -1 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 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 1.491727203027 1.360387598219 3 5 3 5 0132 1302 2310 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.163173921612 1.796865193263 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(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_1100_0'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_1100_0']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_4'], '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' : negation(d['c_0011_4']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0011_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : d['c_0011_4'], 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : negation(d['c_0011_4'])})} 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_3, c_0011_4, c_0101_0, c_0101_1, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 278509864058114593785196/45656466898511331447618303*c_1100_0^11 + 2266914872939689171471685/45656466898511331447618303*c_1100_0^10 - 903922691972886571713677/45656466898511331447618303*c_1100_0^9 + 9275922102286552963114736/45656466898511331447618303*c_1100_0^8 - 137774014519768694712961168/45656466898511331447618303*c_1100_0^7 + 80034751011993270233425625/15218822299503777149206101*c_1100_0^6 + 253034968723554860943328592/45656466898511331447618303*c_1100_0^5 - 276771072307567169716632127/15218822299503777149206101*c_1100_0^4 + 22453599069068795201741953/15218822299503777149206101*c_1100_0^3 + 28768252766463059863451474/1113572363378325157258983*c_1100_0^2 - 12282270700033769654851645/45656466898511331447618303*c_1100_0 - 244417696001268015604747390/15218822299503777149206101, c_0011_0 - 1, c_0011_3 + 422674136393221466626/371190787792775052419661*c_1100_0^11 - 3401828166130143780413/371190787792775052419661*c_1100_0^10 + 1490597768988430014188/371190787792775052419661*c_1100_0^9 - 16863819146724775085252/371190787792775052419661*c_1100_0^8 + 205951536643473264790765/371190787792775052419661*c_1100_0^7 - 122578028410181247740690/123730262597591684139887*c_1100_0^6 - 238706698866857452054343/371190787792775052419661*c_1100_0^5 + 351307397916350087524362/123730262597591684139887*c_1100_0^4 - 97722682488541599656328/123730262597591684139887*c_1100_0^3 - 1265619979031709536904085/371190787792775052419661*c_1100_0^2 + 171484952603407643407225/371190787792775052419661*c_1100_0 + 159051404933611162058060/123730262597591684139887, c_0011_4 - 221350211628430053728/371190787792775052419661*c_1100_0^11 + 1782555928603185185986/371190787792775052419661*c_1100_0^10 - 579480643392424539169/371190787792775052419661*c_1100_0^9 + 7639094847272894537287/371190787792775052419661*c_1100_0^8 - 109617122911616549235725/371190787792775052419661*c_1100_0^7 + 59295575730399962686700/123730262597591684139887*c_1100_0^6 + 192577851588615027462967/371190787792775052419661*c_1100_0^5 - 197515662159402560033598/123730262597591684139887*c_1100_0^4 + 41403287824723336758515/123730262597591684139887*c_1100_0^3 + 744484634726491845213368/371190787792775052419661*c_1100_0^2 + 102620556314567485260037/371190787792775052419661*c_1100_0 - 94932077264537924000354/123730262597591684139887, c_0101_0 + 206946085615767738410/371190787792775052419661*c_1100_0^11 - 1757788179297695267128/371190787792775052419661*c_1100_0^10 + 1450682276973989306044/371190787792775052419661*c_1100_0^9 - 8208211132171607363185/371190787792775052419661*c_1100_0^8 + 103545834695565406693385/371190787792775052419661*c_1100_0^7 - 75855919812996432790763/123730262597591684139887*c_1100_0^6 - 62704376644505169119908/371190787792775052419661*c_1100_0^5 + 212691816590305351374927/123730262597591684139887*c_1100_0^4 - 94109307130526782475640/123730262597591684139887*c_1100_0^3 - 689298623420521733710301/371190787792775052419661*c_1100_0^2 + 413074817061043049049812/371190787792775052419661*c_1100_0 + 103564002590373366595025/123730262597591684139887, c_0101_1 - 195309013885838651743/371190787792775052419661*c_1100_0^11 + 1451570137699894410548/371190787792775052419661*c_1100_0^10 - 32796684441620336366/371190787792775052419661*c_1100_0^9 + 9677483403549317575385/371190787792775052419661*c_1100_0^8 - 90503398041287806370656/371190787792775052419661*c_1100_0^7 + 42260784756445926885785/123730262597591684139887*c_1100_0^6 + 78525646299670899632624/371190787792775052419661*c_1100_0^5 - 66078793664336068788480/123730262597591684139887*c_1100_0^4 - 8087170046180062158993/123730262597591684139887*c_1100_0^3 - 34944647743486005827159/371190787792775052419661*c_1100_0^2 + 330001810630812106205948/371190787792775052419661*c_1100_0 + 117201207443804780714411/123730262597591684139887, c_1100_0^12 - 8*c_1100_0^11 + 2*c_1100_0^10 - 32*c_1100_0^9 + 490*c_1100_0^8 - 789*c_1100_0^7 - 1082*c_1100_0^6 + 2925*c_1100_0^5 + 273*c_1100_0^4 - 4510*c_1100_0^3 - 425*c_1100_0^2 + 2913*c_1100_0 + 369 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.210 seconds, Total memory usage: 32.09MB