Magma V2.19-8 Tue Aug 20 2013 16:16:01 on localhost [Seed = 1124261766] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0265 geometric_solution 4.30943568 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.502222555601 0.130648193671 0 2 2 0 3201 0132 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 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 1.270071450686 0.217914612680 3 1 1 4 0132 0132 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 -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 0.916582806896 0.829308349219 2 4 5 5 0132 2310 2310 0132 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 -1 0 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 -0.297911525684 0.415494924587 6 6 2 3 0132 2310 0132 3201 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 1 -1 1 0 -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 -0.297911525684 0.415494924587 6 3 3 6 1230 3201 0132 3012 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 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 -0.182608378016 1.164339455914 4 5 5 4 0132 3012 1230 3201 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 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 -0.182608378016 1.164339455914 ==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_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' : 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' : negation(d['c_0011_4']), 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_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' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : negation(d['c_0011_5']), 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_3'], 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : d['c_0101_2'], '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_4, c_0011_5, c_0101_0, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 490096734633511185/352885840047668704*c_0101_3^14 + 2253360085841067125/176442920023834352*c_0101_3^13 + 4892253985109939747/352885840047668704*c_0101_3^12 + 1935927316957334839/44110730005958588*c_0101_3^11 - 12048143002338559887/352885840047668704*c_0101_3^10 - 4337247233732335583/88221460011917176*c_0101_3^9 - 9074740599455819839/44110730005958588*c_0101_3^8 - 4078460070846534895/22055365002979294*c_0101_3^7 - 14494669589344625161/352885840047668704*c_0101_3^6 - 1032437197310542656/11027682501489647*c_0101_3^5 + 24216807810218471555/88221460011917176*c_0101_3^4 + 48482642004059632457/176442920023834352*c_0101_3^3 + 3936884818391288243/50412262863952672*c_0101_3^2 + 37981182925863157293/352885840047668704*c_0101_3 + 1459954892586716111/352885840047668704, c_0011_0 - 1, c_0011_1 - 251657251452041/1575383214498521*c_0101_3^14 - 2303572909452258/1575383214498521*c_0101_3^13 - 2574013555915681/1575383214498521*c_0101_3^12 - 9289589072601885/1575383214498521*c_0101_3^11 + 4885732881980428/1575383214498521*c_0101_3^10 + 1710957579983812/1575383214498521*c_0101_3^9 + 38906945247754335/1575383214498521*c_0101_3^8 + 27729712574948688/1575383214498521*c_0101_3^7 + 31891333816532123/1575383214498521*c_0101_3^6 + 33101457805066984/1575383214498521*c_0101_3^5 - 12526750554552988/1575383214498521*c_0101_3^4 - 11080459661022673/1575383214498521*c_0101_3^3 - 1888690134030890/1575383214498521*c_0101_3^2 - 919726875863279/1575383214498521*c_0101_3 - 623763953935914/1575383214498521, c_0011_4 + 2320805915941565/11027682501489647*c_0101_3^14 + 20759514562459606/11027682501489647*c_0101_3^13 + 19572793901872487/11027682501489647*c_0101_3^12 + 83168703342070083/11027682501489647*c_0101_3^11 - 60167565954931416/11027682501489647*c_0101_3^10 + 3626075187145863/11027682501489647*c_0101_3^9 - 359765168118110744/11027682501489647*c_0101_3^8 - 181734821713021096/11027682501489647*c_0101_3^7 - 279300210409887040/11027682501489647*c_0101_3^6 - 275819461188152535/11027682501489647*c_0101_3^5 + 141062723693504846/11027682501489647*c_0101_3^4 + 24441665872542599/11027682501489647*c_0101_3^3 + 141143003491720/1575383214498521*c_0101_3^2 + 12648648876265517/11027682501489647*c_0101_3 + 2507076975095080/11027682501489647, c_0011_5 - 2320805915941565/11027682501489647*c_0101_3^14 - 20759514562459606/11027682501489647*c_0101_3^13 - 19572793901872487/11027682501489647*c_0101_3^12 - 83168703342070083/11027682501489647*c_0101_3^11 + 60167565954931416/11027682501489647*c_0101_3^10 - 3626075187145863/11027682501489647*c_0101_3^9 + 359765168118110744/11027682501489647*c_0101_3^8 + 181734821713021096/11027682501489647*c_0101_3^7 + 279300210409887040/11027682501489647*c_0101_3^6 + 275819461188152535/11027682501489647*c_0101_3^5 - 141062723693504846/11027682501489647*c_0101_3^4 - 24441665872542599/11027682501489647*c_0101_3^3 - 141143003491720/1575383214498521*c_0101_3^2 - 12648648876265517/11027682501489647*c_0101_3 - 2507076975095080/11027682501489647, c_0101_0 - 753487553749675/11027682501489647*c_0101_3^14 - 5839208236892558/11027682501489647*c_0101_3^13 + 1166604523884860/11027682501489647*c_0101_3^12 - 24134688101901303/11027682501489647*c_0101_3^11 + 47883106367062178/11027682501489647*c_0101_3^10 - 42894852964689142/11027682501489647*c_0101_3^9 + 134355103460861454/11027682501489647*c_0101_3^8 - 83111806234573149/11027682501489647*c_0101_3^7 + 101343559321201599/11027682501489647*c_0101_3^6 + 10867117003875198/11027682501489647*c_0101_3^5 - 96854279435328816/11027682501489647*c_0101_3^4 + 105326160092082298/11027682501489647*c_0101_3^3 - 3707497447168062/1575383214498521*c_0101_3^2 + 3320488593508265/11027682501489647*c_0101_3 + 8660482733757565/11027682501489647, c_0101_2 - 1463685292771574/11027682501489647*c_0101_3^14 - 12738759239948138/11027682501489647*c_0101_3^13 - 9465826029069142/11027682501489647*c_0101_3^12 - 51973749455297899/11027682501489647*c_0101_3^11 + 48812688167198607/11027682501489647*c_0101_3^10 - 20578470384110886/11027682501489647*c_0101_3^9 + 238198448402476777/11027682501489647*c_0101_3^8 + 60383594982880695/11027682501489647*c_0101_3^7 + 191463013045685407/11027682501489647*c_0101_3^6 + 141291947571284263/11027682501489647*c_0101_3^5 - 113532009387651324/11027682501489647*c_0101_3^4 + 24758729936983426/11027682501489647*c_0101_3^3 - 3614242213543853/1575383214498521*c_0101_3^2 - 5190123635254731/11027682501489647*c_0101_3 + 3769151637423258/11027682501489647, c_0101_3^15 + 9*c_0101_3^14 + 9*c_0101_3^13 + 37*c_0101_3^12 - 23*c_0101_3^11 + 3*c_0101_3^10 - 156*c_0101_3^9 - 88*c_0101_3^8 - 137*c_0101_3^7 - 135*c_0101_3^6 + 44*c_0101_3^5 + 6*c_0101_3^4 + 3*c_0101_3^3 + 8*c_0101_3^2 + 2*c_0101_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB