Magma V2.19-8 Tue Aug 20 2013 16:19:22 on localhost [Seed = 762097704] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3464 geometric_solution 6.67068893 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 3 0132 0132 1230 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 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 -0.090161186066 0.917796647996 0 4 3 5 0132 0132 2031 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 0.373394756006 0.851387255288 3 0 6 0 0132 0132 0132 3012 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 0 0 0 1 0 0 -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 0.535093051879 1.078760961878 2 4 0 1 0132 1023 0132 1302 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 -1 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 0 0 0 0.264059613931 0.759793837973 3 1 6 6 1023 0132 0213 2310 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 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 0.535093051879 1.078760961878 6 5 1 5 2031 1302 0132 2031 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.447931732918 0.629835091625 4 4 5 2 3201 0213 1302 0132 0 0 0 0 0 0 0 0 0 0 -1 1 0 1 0 -1 -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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.532591281134 0.394234985905 ==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' : negation(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' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : negation(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' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0101_0'], 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : d['c_0011_6'], 's_3_6' : negation(d['1']), 'c_1100_1' : negation(d['c_0011_5']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0101_1'], 'c_1100_2' : d['c_0101_0'], 'c_0101_6' : negation(d['c_0011_5']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], '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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0110_5'], 'c_1001_4' : d['c_0110_5'], 'c_1001_6' : d['c_0110_5'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : d['c_0011_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0011_5'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : d['c_0110_5'], 'c_1010_0' : d['c_0011_6']})} 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_5, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 135131860657995499617/1629705126292544670208*c_0110_5^19 + 3102169109514854508057/203713140786568083776*c_0110_5^17 - 66628214674865637385325/814852563146272335104*c_0110_5^15 + 233743198877511879625327/1629705126292544670208*c_0110_5^13 - 119928167755801882994415/814852563146272335104*c_0110_5^11 + 242201600671797616706093/1629705126292544670208*c_0110_5^9 - 75150669085603667863361/407426281573136167552*c_0110_5^7 + 69228920209740022543291/407426281573136167552*c_0110_5^5 - 69023309287646321638557/814852563146272335104*c_0110_5^3 + 2194445587790088099309/50928285196642020944*c_0110_5, c_0011_0 - 1, c_0011_5 - 141606357843808197/50928285196642020944*c_0110_5^18 + 3250976369364701633/6366035649580252618*c_0110_5^16 - 69975176460565966785/25464142598321010472*c_0110_5^14 + 255890579095289907355/50928285196642020944*c_0110_5^12 - 146001037112453875355/25464142598321010472*c_0110_5^10 + 285898143935170507313/50928285196642020944*c_0110_5^8 - 81184279366944214921/12732071299160505236*c_0110_5^6 + 74624784100892519435/12732071299160505236*c_0110_5^4 - 99457235878494563281/25464142598321010472*c_0110_5^2 + 4524430266773313245/3183017824790126309, c_0011_6 - 387178067998357645/101856570393284041888*c_0110_5^19 + 2217541771437693734/3183017824790126309*c_0110_5^17 - 177728884949624216393/50928285196642020944*c_0110_5^15 + 579216612339022525619/101856570393284041888*c_0110_5^13 - 339499073385926247575/50928285196642020944*c_0110_5^11 + 738296063647442231417/101856570393284041888*c_0110_5^9 - 205312821426608272243/25464142598321010472*c_0110_5^7 + 173299275017015858447/25464142598321010472*c_0110_5^5 - 225318169515522629113/50928285196642020944*c_0110_5^3 + 14906591783375747619/6366035649580252618*c_0110_5, c_0101_0 - 340255440931039499/50928285196642020944*c_0110_5^18 + 7802464317356531999/6366035649580252618*c_0110_5^16 - 161416941884859383951/25464142598321010472*c_0110_5^14 + 521112717831577778645/50928285196642020944*c_0110_5^12 - 245654039804709254693/25464142598321010472*c_0110_5^10 + 507763980375677790559/50928285196642020944*c_0110_5^8 - 161843659428896408419/12732071299160505236*c_0110_5^6 + 137091902004556309893/12732071299160505236*c_0110_5^4 - 136871963797614271351/25464142598321010472*c_0110_5^2 + 6710627618522656819/3183017824790126309, c_0101_1 - 170694473017054795/203713140786568083776*c_0110_5^19 + 3872409059748675913/25464142598321010472*c_0110_5^17 - 50359665630635032671/101856570393284041888*c_0110_5^15 - 30466269048899954747/203713140786568083776*c_0110_5^13 + 58698357513300927027/101856570393284041888*c_0110_5^11 + 23332727115561025679/203713140786568083776*c_0110_5^9 - 65302509218168983/50928285196642020944*c_0110_5^7 - 31635147644710748575/50928285196642020944*c_0110_5^5 + 122418795562844510049/101856570393284041888*c_0110_5^3 + 304762046723192098/3183017824790126309*c_0110_5, c_0101_2 - 17179270808967693/12732071299160505236*c_0110_5^18 + 1572088211232923953/6366035649580252618*c_0110_5^16 - 7475469361515150893/6366035649580252618*c_0110_5^14 + 19374005394454124003/12732071299160505236*c_0110_5^12 - 3158021977410162692/3183017824790126309*c_0110_5^10 + 12844693898712651453/12732071299160505236*c_0110_5^8 - 12985481250227604651/6366035649580252618*c_0110_5^6 + 2710707607897658956/3183017824790126309*c_0110_5^4 + 1619384259246976233/6366035649580252618*c_0110_5^2 + 1719530802541964791/3183017824790126309, c_0110_5^20 - 184*c_0110_5^18 + 1050*c_0110_5^16 - 2095*c_0110_5^14 + 2478*c_0110_5^12 - 2541*c_0110_5^10 + 2996*c_0110_5^8 - 2988*c_0110_5^6 + 1978*c_0110_5^4 - 1024*c_0110_5^2 + 256 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB