Magma V2.19-8 Tue Aug 20 2013 16:18:04 on localhost [Seed = 324177882] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2302 geometric_solution 5.70394526 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 0 1 0 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 1 -1 -1 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 0.578220658751 0.585078153015 3 0 5 4 0132 0132 0132 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 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 0.496062895158 0.869019573273 4 4 0 5 1230 1302 0132 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.832301831821 0.566127335720 1 3 5 3 0132 1302 1302 2031 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 0.640336032677 0.319070397856 6 2 1 2 0132 3012 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 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 -1.112606747732 0.681442163294 3 6 2 1 2031 2103 2031 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 0.096300991543 0.441889109457 4 5 6 6 0132 2103 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.266948203171 0.523299510604 ==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' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : 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' : d['1'], 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0101_6'], 'c_1100_5' : negation(d['c_1010_2']), 'c_1100_4' : negation(d['c_1010_2']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_1010_2']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_0']), 'c_0101_4' : negation(d['c_0011_5']), 'c_0101_3' : negation(d['c_0011_5']), 'c_0101_2' : negation(d['c_0011_2']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(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_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : negation(d['c_0011_2']), 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : d['c_0101_6'], 'c_1001_0' : negation(d['c_0011_2']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0101_6'], 'c_0110_1' : negation(d['c_0011_5']), 'c_0110_0' : negation(d['c_0011_2']), 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : negation(d['c_0011_5']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_6'], 'c_1010_4' : d['c_0011_2'], 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_1010_2'], 'c_1010_1' : negation(d['c_0011_2']), 'c_1010_0' : d['c_0101_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_2, c_0011_4, c_0011_5, c_0101_1, c_0101_6, c_1010_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 10598355156816326465/197250674908349376*c_1010_2^15 - 35547623404171633961/98625337454174688*c_1010_2^14 - 97045648107229410065/197250674908349376*c_1010_2^13 - 22450079397691956223/197250674908349376*c_1010_2^12 - 45199421805502358989/32875112484724896*c_1010_2^11 + 20886865074362191841/197250674908349376*c_1010_2^10 + 269784439639732820585/65750224969449792*c_1010_2^9 + 22743503979217292891/21916741656483264*c_1010_2^8 - 42608705448124825901/98625337454174688*c_1010_2^7 + 541691393408996471425/98625337454174688*c_1010_2^6 - 666762806648997962309/98625337454174688*c_1010_2^5 - 99171571195021152353/49312668727087344*c_1010_2^4 + 343960160977499290091/98625337454174688*c_1010_2^3 + 81300879518977410835/197250674908349376*c_1010_2^2 - 36096460602338142527/65750224969449792*c_1010_2 + 9160641586726294237/197250674908349376, c_0011_0 - 1, c_0011_2 - 90337383173771/342449088382551*c_1010_2^15 - 617070383091055/342449088382551*c_1010_2^14 - 906908870155496/342449088382551*c_1010_2^13 - 333711745226833/342449088382551*c_1010_2^12 - 804423043952204/114149696127517*c_1010_2^11 - 148654129283266/342449088382551*c_1010_2^10 + 2256037943729919/114149696127517*c_1010_2^9 + 815360990704191/114149696127517*c_1010_2^8 - 105829283768161/342449088382551*c_1010_2^7 + 9449325927323660/342449088382551*c_1010_2^6 - 10388070535711210/342449088382551*c_1010_2^5 - 4241744578461110/342449088382551*c_1010_2^4 + 5333092389265990/342449088382551*c_1010_2^3 + 772611063539911/342449088382551*c_1010_2^2 - 5387034036473/114149696127517*c_1010_2 + 92291292431386/342449088382551, c_0011_4 + 78603250134868/114149696127517*c_1010_2^15 + 541646042493109/114149696127517*c_1010_2^14 + 825478625527151/114149696127517*c_1010_2^13 + 359742359214347/114149696127517*c_1010_2^12 + 2119804905149899/114149696127517*c_1010_2^11 + 220984572212375/114149696127517*c_1010_2^10 - 5802613122333878/114149696127517*c_1010_2^9 - 2676965354666892/114149696127517*c_1010_2^8 - 358075681374904/114149696127517*c_1010_2^7 - 8054805057512701/114149696127517*c_1010_2^6 + 8492213021164800/114149696127517*c_1010_2^5 + 3869077809966479/114149696127517*c_1010_2^4 - 3224423228482198/114149696127517*c_1010_2^3 - 1408474009938696/114149696127517*c_1010_2^2 + 215545906342878/114149696127517*c_1010_2 + 77341826626395/114149696127517, c_0011_5 - 108006818743811/342449088382551*c_1010_2^15 - 790461690526339/342449088382551*c_1010_2^14 - 1462285984880297/342449088382551*c_1010_2^13 - 1036761196837240/342449088382551*c_1010_2^12 - 1057118970623860/114149696127517*c_1010_2^11 - 1566850294867981/342449088382551*c_1010_2^10 + 2500617057282867/114149696127517*c_1010_2^9 + 2412386282251713/114149696127517*c_1010_2^8 + 2515851240874100/342449088382551*c_1010_2^7 + 10776137113709984/342449088382551*c_1010_2^6 - 6556119087767488/342449088382551*c_1010_2^5 - 8957494283980163/342449088382551*c_1010_2^4 + 227526483200107/342449088382551*c_1010_2^3 + 5455085472104341/342449088382551*c_1010_2^2 + 226284689609720/114149696127517*c_1010_2 - 670532950552466/342449088382551, c_0101_1 - 258582645897538/342449088382551*c_1010_2^15 - 1719936764704556/342449088382551*c_1010_2^14 - 2261130199617241/342449088382551*c_1010_2^13 - 342628450315895/342449088382551*c_1010_2^12 - 2133519380805828/114149696127517*c_1010_2^11 + 1077412598580796/342449088382551*c_1010_2^10 + 6669697200507992/114149696127517*c_1010_2^9 + 1427571348363533/114149696127517*c_1010_2^8 - 2894040735730328/342449088382551*c_1010_2^7 + 25194750238724053/342449088382551*c_1010_2^6 - 34668012804354002/342449088382551*c_1010_2^5 - 8766393230163844/342449088382551*c_1010_2^4 + 16634276738012771/342449088382551*c_1010_2^3 + 2741657741096981/342449088382551*c_1010_2^2 - 753105280758713/114149696127517*c_1010_2 - 250616370456589/342449088382551, c_0101_6 + 30977456772415/342449088382551*c_1010_2^15 + 148331325256868/342449088382551*c_1010_2^14 - 137950276062731/342449088382551*c_1010_2^13 - 628835745698266/342449088382551*c_1010_2^12 + 155154057997664/114149696127517*c_1010_2^11 - 1667421479625511/342449088382551*c_1010_2^10 - 971443403164588/114149696127517*c_1010_2^9 + 1327271142514268/114149696127517*c_1010_2^8 + 2869434923402939/342449088382551*c_1010_2^7 - 3420246977161093/342449088382551*c_1010_2^6 + 10254779875021760/342449088382551*c_1010_2^5 - 3701993658415466/342449088382551*c_1010_2^4 - 6990162351508499/342449088382551*c_1010_2^3 + 3919391647556722/342449088382551*c_1010_2^2 + 521665976384326/114149696127517*c_1010_2 - 676661469741815/342449088382551, c_1010_2^16 + 7*c_1010_2^15 + 11*c_1010_2^14 + 4*c_1010_2^13 + 25*c_1010_2^12 + 5*c_1010_2^11 - 80*c_1010_2^10 - 42*c_1010_2^9 + 11*c_1010_2^8 - 96*c_1010_2^7 + 96*c_1010_2^6 + 86*c_1010_2^5 - 66*c_1010_2^4 - 33*c_1010_2^3 + 14*c_1010_2^2 + 4*c_1010_2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB