Magma V2.19-8 Tue Aug 20 2013 16:16:54 on localhost [Seed = 4256981280] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1164 geometric_solution 5.04043437 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 2310 1023 3201 0 0 0 0 0 -1 0 1 0 0 -1 1 0 -1 0 1 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 -1 1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.769994851025 0.058390648018 0 2 0 2 0132 0132 1023 1023 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 0 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 0 0 0 0 0 0.633457649436 0.154967256124 3 1 4 1 0132 0132 0132 1023 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 0 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 0 0 0 0 0 0.193760618156 1.346288905231 2 5 6 4 0132 0132 0132 1230 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 -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 1.204657232103 1.421503726200 3 6 5 2 3012 1023 3201 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 1 0 -1 -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 1.204657232103 1.421503726200 4 3 5 5 2310 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.299762509229 0.535760858140 4 6 6 3 1023 1230 3012 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 -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 0.882314139944 0.674769729554 ==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' : negation(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' : negation(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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_4'], 'c_1100_5' : d['c_0101_5'], 'c_1100_4' : negation(d['c_0011_0']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : negation(d['c_0101_5']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : d['c_0011_0'], 'c_1001_5' : d['c_0101_4'], 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : negation(d['c_0101_4']), 'c_0110_4' : d['c_0011_4'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_0101_4'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : negation(d['c_0101_1'])})} 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_4, c_0101_0, c_0101_1, c_0101_3, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 30 Groebner basis: [ t - 310391047/642451960*c_0101_5^14 + 1625684897/321225980*c_0101_5^13 + 699930203/16061299*c_0101_5^12 + 5511094738/80306495*c_0101_5^11 + 10387765809/160612990*c_0101_5^10 - 21260688699/321225980*c_0101_5^9 + 6552265513/16061299*c_0101_5^8 - 48998313944/80306495*c_0101_5^7 + 549142502831/642451960*c_0101_5^6 - 479599016943/642451960*c_0101_5^5 + 121274320071/321225980*c_0101_5^4 - 50851039939/642451960*c_0101_5^3 - 55302579413/642451960*c_0101_5^2 + 54944942947/642451960*c_0101_5 - 9493990347/321225980, c_0011_0 - 1, c_0011_4 + 683896497/5139615680*c_0101_3*c_0101_5^14 + 4771565971/5139615680*c_0101_3*c_0101_5^13 + 31952707/16061299*c_0101_3*c_0101_5^12 + 1446976497/642451960*c_0101_3*c_0101_5^11 + 376938841/1284903920*c_0101_3*c_0101_5^10 + 14794823539/2569807840*c_0101_3*c_0101_5^9 - 1490221695/513961568*c_0101_3*c_0101_5^8 + 8176464123/1284903920*c_0101_3*c_0101_5^7 - 3311099401/5139615680*c_0101_3*c_0101_5^6 - 215879809/642451960*c_0101_3*c_0101_5^5 + 389713033/5139615680*c_0101_3*c_0101_5^4 + 13172990869/5139615680*c_0101_3*c_0101_5^3 - 239052041/160612990*c_0101_3*c_0101_5^2 + 1740902407/1284903920*c_0101_3*c_0101_5 - 1487917701/5139615680*c_0101_3, c_0101_0 + 2327275223/2569807840*c_0101_3*c_0101_5^14 + 14571070589/2569807840*c_0101_3*c_0101_5^13 + 150438048/16061299*c_0101_3*c_0101_5^12 + 2588964543/321225980*c_0101_3*c_0101_5^11 - 2712381881/642451960*c_0101_3*c_0101_5^10 + 53088212581/1284903920*c_0101_3*c_0101_5^9 - 13048826673/256980784*c_0101_3*c_0101_5^8 + 44260514397/642451960*c_0101_3*c_0101_5^7 - 111919545759/2569807840*c_0101_3*c_0101_5^6 + 310709687/160612990*c_0101_3*c_0101_5^5 + 53771524007/2569807840*c_0101_3*c_0101_5^4 - 57574099309/2569807840*c_0101_3*c_0101_5^3 + 2833766339/321225980*c_0101_3*c_0101_5^2 - 274571697/642451960*c_0101_3*c_0101_5 - 6713818539/2569807840*c_0101_3, c_0101_1 + 10737786561/5139615680*c_0101_3*c_0101_5^14 + 67330380563/5139615680*c_0101_3*c_0101_5^13 + 356749114/16061299*c_0101_3*c_0101_5^12 + 13854757601/642451960*c_0101_3*c_0101_5^11 - 7794271847/1284903920*c_0101_3*c_0101_5^10 + 249583552547/2569807840*c_0101_3*c_0101_5^9 - 62095368735/513961568*c_0101_3*c_0101_5^8 + 231942453259/1284903920*c_0101_3*c_0101_5^7 - 707027112473/5139615680*c_0101_3*c_0101_5^6 + 35799047493/642451960*c_0101_3*c_0101_5^5 + 6867856969/5139615680*c_0101_3*c_0101_5^4 - 131907731163/5139615680*c_0101_3*c_0101_5^3 + 5503739959/321225980*c_0101_3*c_0101_5^2 - 4635644709/1284903920*c_0101_3*c_0101_5 - 15256261573/5139615680*c_0101_3, c_0101_3^2 - 55077929/877495360*c_0101_5^14 - 291079807/877495360*c_0101_5^13 - 1333995/5484346*c_0101_5^12 + 33264251/109686920*c_0101_5^11 + 51145689/31339120*c_0101_5^10 - 863982723/438747680*c_0101_5^9 + 626539939/87749536*c_0101_5^8 - 1613576351/219373840*c_0101_5^7 + 9575418337/877495360*c_0101_5^6 - 1107253709/219373840*c_0101_5^5 + 4078430259/877495360*c_0101_5^4 - 359179853/877495360*c_0101_5^3 - 10655669/219373840*c_0101_5^2 + 12360536/13710865*c_0101_5 - 675407143/877495360, c_0101_4 - 16488823/62678240*c_0101_5^14 - 107821509/62678240*c_0101_5^13 - 1244627/391739*c_0101_5^12 - 24114563/7834780*c_0101_5^11 + 9443361/15669560*c_0101_5^10 - 373124341/31339120*c_0101_5^9 + 66694377/6267824*c_0101_5^8 - 266847437/15669560*c_0101_5^7 + 436749759/62678240*c_0101_5^6 + 3081131/7834780*c_0101_5^5 - 298842047/62678240*c_0101_5^4 + 57745389/62678240*c_0101_5^3 - 781071/1958695*c_0101_5^2 - 18779233/15669560*c_0101_5 + 26485539/62678240, c_0101_5^15 + 6*c_0101_5^14 + 9*c_0101_5^13 + 8*c_0101_5^12 - 4*c_0101_5^11 + 50*c_0101_5^10 - 68*c_0101_5^9 + 106*c_0101_5^8 - 85*c_0101_5^7 + 45*c_0101_5^6 + c_0101_5^5 - 16*c_0101_5^4 + 15*c_0101_5^3 - 4*c_0101_5^2 - c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB