Magma V2.19-8 Tue Aug 20 2013 16:18:44 on localhost [Seed = 3734979498] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2893 geometric_solution 6.10266549 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 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 0.389277520721 0.343443410729 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.166227343334 0.930974735355 1 4 5 6 0132 0132 0132 0132 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 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 0.598759879906 0.402014015598 6 5 4 1 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 1 -1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.598759879906 0.402014015598 4 2 4 3 2031 0132 1302 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 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 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.842642129462 0.896932472891 5 3 5 2 2031 0132 1302 0132 0 0 0 0 0 0 0 0 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 0 0 0 0 0 1 -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 0.856257972153 0.665778722402 3 6 2 6 0132 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 -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 0.649949675832 0.554635546427 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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' : 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' : 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' : d['c_0011_3'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], '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_6' : d['c_0101_1'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : negation(d['c_0011_1']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : 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_1'], 'c_0011_6' : negation(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' : d['c_0101_0'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], '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' : d['c_0101_0'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : d['c_1001_2'], 'c_1010_4' : d['c_1001_2'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_3'], '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 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_1, c_0101_3, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 28 Groebner basis: [ t + 6309067225227064163/43182586856276432*c_1001_2^13 + 37010111946443271195/43182586856276432*c_1001_2^12 - 61750355831467621975/43182586856276432*c_1001_2^11 + 133425357947885708809/21591293428138216*c_1001_2^10 + 229473132265121340205/43182586856276432*c_1001_2^9 + 265010737952591643005/43182586856276432*c_1001_2^8 + 704606565686962341935/21591293428138216*c_1001_2^7 + 201857003183318341301/43182586856276432*c_1001_2^6 + 1591168297302298351183/43182586856276432*c_1001_2^5 + 330837035190224231355/43182586856276432*c_1001_2^4 - 68595011008122332393/43182586856276432*c_1001_2^3 - 115040429161885833555/43182586856276432*c_1001_2^2 - 598470303610878278393/43182586856276432*c_1001_2 - 184130188165854577563/43182586856276432, c_0011_0 - 1, c_0011_1 + 546165848848133/2698911678517277*c_1001_2^13 + 3075650607333191/2698911678517277*c_1001_2^12 - 6063115270266127/2698911678517277*c_1001_2^11 + 24570042011831037/2698911678517277*c_1001_2^10 + 14177289224627752/2698911678517277*c_1001_2^9 + 19787185540004288/2698911678517277*c_1001_2^8 + 117915789010236048/2698911678517277*c_1001_2^7 - 8401931825704962/2698911678517277*c_1001_2^6 + 142063365377404588/2698911678517277*c_1001_2^5 - 568429067208547/2698911678517277*c_1001_2^4 - 1279246593806695/2698911678517277*c_1001_2^3 - 9171326335926268/2698911678517277*c_1001_2^2 - 48662892199117063/2698911678517277*c_1001_2 - 8242700466340360/2698911678517277, c_0011_3 + 183904646644466/2698911678517277*c_1001_2^13 + 1011919889686141/2698911678517277*c_1001_2^12 - 2151014432087313/2698911678517277*c_1001_2^11 + 8679468066514884/2698911678517277*c_1001_2^10 + 3450916196787983/2698911678517277*c_1001_2^9 + 6868799009550489/2698911678517277*c_1001_2^8 + 40114176510077349/2698911678517277*c_1001_2^7 - 8123649847854170/2698911678517277*c_1001_2^6 + 52536711215098587/2698911678517277*c_1001_2^5 - 5998309453505454/2698911678517277*c_1001_2^4 - 49810633820292/2698911678517277*c_1001_2^3 - 2522328023385547/2698911678517277*c_1001_2^2 - 18504379197731355/2698911678517277*c_1001_2 - 1036755619145115/2698911678517277, c_0101_0 + 2017573400815051/21591293428138216*c_0101_3*c_1001_2^13 + 5787143636591451/10795646714069108*c_0101_3*c_1001_2^12 - 21008373179680123/21591293428138216*c_0101_3*c_1001_2^11 + 89727683781608747/21591293428138216*c_0101_3*c_1001_2^10 + 30421873360364435/10795646714069108*c_0101_3*c_1001_2^9 + 82422028181257165/21591293428138216*c_0101_3*c_1001_2^8 + 462414404126163735/21591293428138216*c_0101_3*c_1001_2^7 + 8708580390839777/10795646714069108*c_0101_3*c_1001_2^6 + 552640141348483779/21591293428138216*c_0101_3*c_1001_2^5 + 47205733014723321/10795646714069108*c_0101_3*c_1001_2^4 - 7339760456441349/21591293428138216*c_0101_3*c_1001_2^3 + 1328311557385660/2698911678517277*c_0101_3*c_1001_2^2 - 207869681629979795/21591293428138216*c_0101_3*c_1001_2 - 26282328063174823/10795646714069108*c_0101_3, c_0101_1 - 351257267616106/2698911678517277*c_1001_2^13 - 2027230110388828/2698911678517277*c_1001_2^12 + 3639740266288936/2698911678517277*c_1001_2^11 - 15077224485673129/2698911678517277*c_1001_2^10 - 11051667299823083/2698911678517277*c_1001_2^9 - 14173910513124837/2698911678517277*c_1001_2^8 - 74402836569614872/2698911678517277*c_1001_2^7 - 970359000290019/2698911678517277*c_1001_2^6 - 87243431864376211/2698911678517277*c_1001_2^5 - 1236983369096665/2698911678517277*c_1001_2^4 + 2028222695545553/2698911678517277*c_1001_2^3 + 7393929951813268/2698911678517277*c_1001_2^2 + 32498435421408931/2698911678517277*c_1001_2 + 4279313106128169/2698911678517277, c_0101_3^2 - 1098767602219846/2698911678517277*c_1001_2^13 - 6250503348354949/2698911678517277*c_1001_2^12 + 11880097745612647/2698911678517277*c_1001_2^11 - 48408942924498000/2698911678517277*c_1001_2^10 - 31111565880308798/2698911678517277*c_1001_2^9 - 41117286429115534/2698911678517277*c_1001_2^8 - 234582840034140128/2698911678517277*c_1001_2^7 + 9130315048849350/2698911678517277*c_1001_2^6 - 276845489309928784/2698911678517277*c_1001_2^5 - 309303349150414/2698911678517277*c_1001_2^4 + 5059459930388640/2698911678517277*c_1001_2^3 + 20880451426891374/2698911678517277*c_1001_2^2 + 95857592805807220/2698911678517277*c_1001_2 + 12007765289343784/2698911678517277, c_1001_2^14 + 6*c_1001_2^13 - 9*c_1001_2^12 + 41*c_1001_2^11 + 42*c_1001_2^10 + 47*c_1001_2^9 + 229*c_1001_2^8 + 62*c_1001_2^7 + 257*c_1001_2^6 + 86*c_1001_2^5 - 3*c_1001_2^4 - 20*c_1001_2^3 - 97*c_1001_2^2 - 42*c_1001_2 - 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB