Magma V2.19-8 Tue Aug 20 2013 16:19:15 on localhost [Seed = 21011464] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3373 geometric_solution 6.54663670 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 3120 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.370147461166 0.994660682428 0 0 2 4 0132 3120 0213 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.400446208189 0.466092325036 5 1 4 0 0132 0213 1230 0132 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 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 0.312898636105 0.577588644488 6 4 0 5 0132 3120 0132 1023 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 1 -1 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 0.186768478400 0.722359379426 5 3 1 2 2103 3120 0132 3012 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 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.535174306761 0.567124685377 2 6 4 3 0132 2103 2103 1023 0 0 0 0 0 1 -1 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 0 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 0.676501393626 1.929190379511 3 5 6 6 0132 2103 2031 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.902434187314 0.996094787460 ==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' : 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_0101_6'], 'c_1100_5' : negation(d['c_0110_4']), 'c_1100_4' : d['c_1001_0'], 's_3_6' : d['1'], 'c_1100_1' : d['c_1001_0'], 'c_1100_0' : d['c_0110_4'], 'c_1100_3' : d['c_0110_4'], 'c_1100_2' : d['c_0110_4'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_2'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0011_2'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_3']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_6' : negation(d['c_0011_2']), 'c_1001_1' : negation(d['c_1001_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : negation(d['c_1001_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_2'], 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0011_2'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_6'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : d['c_0011_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_2, c_0011_3, c_0101_0, c_0101_6, c_0110_4, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 19 Groebner basis: [ t - 192665970/1231733*c_1001_0^18 - 1489942707/1231733*c_1001_0^17 - 3015742829/1231733*c_1001_0^16 + 3015537653/1231733*c_1001_0^15 + 15157148407/1231733*c_1001_0^14 + 5615850232/1231733*c_1001_0^13 - 16792474436/1231733*c_1001_0^12 + 3151120292/1231733*c_1001_0^11 + 23119147745/1231733*c_1001_0^10 - 14417055424/1231733*c_1001_0^9 - 19772727088/1231733*c_1001_0^8 + 16962407784/1231733*c_1001_0^7 + 6735837648/1231733*c_1001_0^6 - 11416417517/1231733*c_1001_0^5 + 356994550/1231733*c_1001_0^4 + 4707311261/1231733*c_1001_0^3 - 1604186030/1231733*c_1001_0^2 - 677943655/1231733*c_1001_0 + 259126616/1231733, c_0011_0 - 1, c_0011_2 + 7582046/1231733*c_1001_0^18 + 58636399/1231733*c_1001_0^17 + 119134940/1231733*c_1001_0^16 - 115398625/1231733*c_1001_0^15 - 590399382/1231733*c_1001_0^14 - 228018619/1231733*c_1001_0^13 + 629634414/1231733*c_1001_0^12 - 137513600/1231733*c_1001_0^11 - 880351320/1231733*c_1001_0^10 + 571008869/1231733*c_1001_0^9 + 748050208/1231733*c_1001_0^8 - 651485746/1231733*c_1001_0^7 - 234173923/1231733*c_1001_0^6 + 436845434/1231733*c_1001_0^5 - 30922517/1231733*c_1001_0^4 - 181151352/1231733*c_1001_0^3 + 66704569/1231733*c_1001_0^2 + 23691958/1231733*c_1001_0 - 10031350/1231733, c_0011_3 - 9466483/1231733*c_1001_0^18 - 73687859/1231733*c_1001_0^17 - 152242704/1231733*c_1001_0^16 + 137659598/1231733*c_1001_0^15 + 744682698/1231733*c_1001_0^14 + 315387761/1231733*c_1001_0^13 - 777866680/1231733*c_1001_0^12 + 144666570/1231733*c_1001_0^11 + 1116714195/1231733*c_1001_0^10 - 673418508/1231733*c_1001_0^9 - 962904982/1231733*c_1001_0^8 + 789115157/1231733*c_1001_0^7 + 323017143/1231733*c_1001_0^6 - 536708685/1231733*c_1001_0^5 + 19800387/1231733*c_1001_0^4 + 226798089/1231733*c_1001_0^3 - 75749275/1231733*c_1001_0^2 - 33796783/1231733*c_1001_0 + 10773618/1231733, c_0101_0 + 10031350/1231733*c_1001_0^18 + 77801496/1231733*c_1001_0^17 + 158949899/1231733*c_1001_0^16 - 151711510/1231733*c_1001_0^15 - 787499075/1231733*c_1001_0^14 - 309521582/1231733*c_1001_0^13 + 845335831/1231733*c_1001_0^12 - 172873586/1231733*c_1001_0^11 - 1190805350/1231733*c_1001_0^10 + 754758730/1231733*c_1001_0^9 + 1022419619/1231733*c_1001_0^8 - 877028492/1231733*c_1001_0^7 - 330482546/1231733*c_1001_0^6 + 598428127/1231733*c_1001_0^5 - 34628016/1231733*c_1001_0^4 - 251612217/1231733*c_1001_0^3 + 89695098/1231733*c_1001_0^2 + 36610519/1231733*c_1001_0 - 15201709/1231733, c_0101_6 - 14349374/1231733*c_1001_0^18 - 111400968/1231733*c_1001_0^17 - 228125298/1231733*c_1001_0^16 + 215679177/1231733*c_1001_0^15 + 1127261680/1231733*c_1001_0^14 + 445668011/1231733*c_1001_0^13 - 1209393392/1231733*c_1001_0^12 + 250911447/1231733*c_1001_0^11 + 1719507146/1231733*c_1001_0^10 - 1068165795/1231733*c_1001_0^9 - 1461105182/1231733*c_1001_0^8 + 1262627318/1231733*c_1001_0^7 + 482127966/1231733*c_1001_0^6 - 856254502/1231733*c_1001_0^5 + 45698637/1231733*c_1001_0^4 + 358268700/1231733*c_1001_0^3 - 129476263/1231733*c_1001_0^2 - 53223601/1231733*c_1001_0 + 20413769/1231733, c_0110_4 + 4469273/1231733*c_1001_0^18 + 34487016/1231733*c_1001_0^17 + 69633282/1231733*c_1001_0^16 - 69309210/1231733*c_1001_0^15 - 347183168/1231733*c_1001_0^14 - 127877074/1231733*c_1001_0^13 + 376285751/1231733*c_1001_0^12 - 88637096/1231733*c_1001_0^11 - 525940721/1231733*c_1001_0^10 + 347900592/1231733*c_1001_0^9 + 445613913/1231733*c_1001_0^8 - 400229097/1231733*c_1001_0^7 - 138018162/1231733*c_1001_0^6 + 272994482/1231733*c_1001_0^5 - 20281676/1231733*c_1001_0^4 - 113601544/1231733*c_1001_0^3 + 43257002/1231733*c_1001_0^2 + 16313685/1231733*c_1001_0 - 7619663/1231733, c_1001_0^19 + 7*c_1001_0^18 + 10*c_1001_0^17 - 27*c_1001_0^16 - 67*c_1001_0^15 + 28*c_1001_0^14 + 107*c_1001_0^13 - 80*c_1001_0^12 - 105*c_1001_0^11 + 163*c_1001_0^10 + 45*c_1001_0^9 - 162*c_1001_0^8 + 32*c_1001_0^7 + 83*c_1001_0^6 - 47*c_1001_0^5 - 22*c_1001_0^4 + 27*c_1001_0^3 - 3*c_1001_0^2 - 4*c_1001_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB