Magma V2.19-8 Tue Aug 20 2013 16:17:19 on localhost [Seed = 1663238068] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1558 geometric_solution 5.34426289 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 2310 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 0 0 0 0 0 1.656985145796 0.189951649312 0 2 2 0 3201 0132 1023 0132 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 -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 1.413400845222 0.583622513772 3 1 1 4 0132 0132 1023 0132 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 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 0.203520242737 0.461933509719 2 4 6 5 0132 2310 0132 0132 0 0 0 0 0 -1 0 1 0 0 0 0 -1 0 0 1 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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.033768781416 1.002588970740 6 5 2 3 2310 0132 0132 3201 0 0 0 0 0 -1 0 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 0 1 -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 0.033768781416 1.002588970740 5 4 3 5 3012 0132 0132 1230 0 0 0 0 0 1 -1 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 0.962050360660 1.030275265403 6 6 4 3 1302 2031 3201 0132 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 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.485293832008 0.481705674938 ==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' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(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' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_6' : negation(d['c_0011_6']), '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' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], '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_0011_6']), 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_6'], '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_0011_6'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : negation(d['c_0011_6']), '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_6, c_0101_0, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 7*c_0101_3 + 11, c_0011_0 - 1, c_0011_1 + c_0101_3, c_0011_4 - c_0011_6*c_0101_3 - 2*c_0011_6, c_0011_6^2 + 4/5*c_0101_3 - 3/5, c_0101_0 + c_0101_3, c_0101_2 + 1, c_0101_3^2 + c_0101_3 - 1 ], 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_6, c_0101_0, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 30 Groebner basis: [ t + 39375834341737/877572164426*c_0101_3^14 - 58091095518866/438786082213*c_0101_3^13 + 168676971305952/438786082213*c_0101_3^12 + 188081683036205/438786082213*c_0101_3^11 + 332759168604724/438786082213*c_0101_3^10 + 1409973030290952/438786082213*c_0101_3^9 + 353816348635090/438786082213*c_0101_3^8 - 1301589713325386/438786082213*c_0101_3^7 - 1198002794973905/877572164426*c_0101_3^6 + 1733582484444875/877572164426*c_0101_3^5 + 1526631384010625/438786082213*c_0101_3^4 + 1116291863051625/438786082213*c_0101_3^3 + 1073251154867695/877572164426*c_0101_3^2 + 457397327890419/877572164426*c_0101_3 + 94637048598195/438786082213, c_0011_0 - 1, c_0011_1 - 95565420105/438786082213*c_0101_3^14 + 449472788921/877572164426*c_0101_3^13 - 567432204364/438786082213*c_0101_3^12 - 1722615747560/438786082213*c_0101_3^11 - 1163377577338/438786082213*c_0101_3^10 - 7942000789567/438786082213*c_0101_3^9 - 4306425799516/438786082213*c_0101_3^8 + 9737881100786/438786082213*c_0101_3^7 + 4042492192683/438786082213*c_0101_3^6 - 11248381778555/877572164426*c_0101_3^5 - 19600636355731/877572164426*c_0101_3^4 - 5904988868266/438786082213*c_0101_3^3 - 2718091095449/438786082213*c_0101_3^2 - 2489316445165/877572164426*c_0101_3 - 1111972237915/877572164426, c_0011_4 - 1078542057239/877572164426*c_0011_6*c_0101_3^14 + 3383634615707/877572164426*c_0011_6*c_0101_3^13 - 5036621976785/438786082213*c_0011_6*c_0101_3^12 - 3771297337791/438786082213*c_0011_6*c_0101_3^11 - 9835693947884/438786082213*c_0011_6*c_0101_3^10 - 35968968960054/438786082213*c_0011_6*c_0101_3^9 - 5040077860739/438786082213*c_0011_6*c_0101_3^8 + 32177021711000/438786082213*c_0011_6*c_0101_3^7 + 32321190124131/877572164426*c_0011_6*c_0101_3^6 - 24808778952005/438786082213*c_0011_6*c_0101_3^5 - 77852437401689/877572164426*c_0011_6*c_0101_3^4 - 27377574104750/438786082213*c_0011_6*c_0101_3^3 - 23077306809929/877572164426*c_0011_6*c_0101_3^2 - 4604412147350/438786082213*c_0011_6*c_0101_3 - 2839052320663/877572164426*c_0011_6, c_0011_6^2 + 1463273580641/11408438137538*c_0101_3^14 - 5688023018813/11408438137538*c_0101_3^13 + 8622700664979/5704219068769*c_0101_3^12 - 29929570105/5704219068769*c_0101_3^11 + 9458547852121/5704219068769*c_0101_3^10 + 41206811998177/5704219068769*c_0101_3^9 - 27421971431968/5704219068769*c_0101_3^8 - 43050971271787/5704219068769*c_0101_3^7 + 47907496027371/11408438137538*c_0101_3^6 + 40835591201462/5704219068769*c_0101_3^5 + 14828240184135/11408438137538*c_0101_3^4 + 8395002555274/5704219068769*c_0101_3^3 + 6802571650487/11408438137538*c_0101_3^2 + 1271455908486/5704219068769*c_0101_3 + 203437205383/11408438137538, c_0101_0 - 3021085617659/877572164426*c_0101_3^14 + 5162277920324/438786082213*c_0101_3^13 - 15785780059294/438786082213*c_0101_3^12 - 5371088862336/438786082213*c_0101_3^11 - 28329223190312/438786082213*c_0101_3^10 - 94079158428761/438786082213*c_0101_3^9 + 8556868364807/438786082213*c_0101_3^8 + 72819983878991/438786082213*c_0101_3^7 + 52039570999327/877572164426*c_0101_3^6 - 125287377142559/877572164426*c_0101_3^5 - 88188875286771/438786082213*c_0101_3^4 - 63691791991347/438786082213*c_0101_3^3 - 56953296285821/877572164426*c_0101_3^2 - 26399797813777/877572164426*c_0101_3 - 3564711918442/438786082213, c_0101_2 - 419884018379/438786082213*c_0101_3^14 + 2858590231533/877572164426*c_0101_3^13 - 4367750739708/438786082213*c_0101_3^12 - 1561225843905/438786082213*c_0101_3^11 - 7850674776536/438786082213*c_0101_3^10 - 26373867789916/438786082213*c_0101_3^9 + 2191629260932/438786082213*c_0101_3^8 + 20199399547087/438786082213*c_0101_3^7 + 7287896076867/438786082213*c_0101_3^6 - 32923793142255/877572164426*c_0101_3^5 - 50313847644243/877572164426*c_0101_3^4 - 18459681958161/438786082213*c_0101_3^3 - 8111580107568/438786082213*c_0101_3^2 - 7260320865621/877572164426*c_0101_3 - 1949305635245/877572164426, c_0101_3^15 - 3*c_0101_3^14 + 9*c_0101_3^13 + 8*c_0101_3^12 + 20*c_0101_3^11 + 70*c_0101_3^10 + 20*c_0101_3^9 - 52*c_0101_3^8 - 37*c_0101_3^7 + 36*c_0101_3^6 + 76*c_0101_3^5 + 65*c_0101_3^4 + 35*c_0101_3^3 + 16*c_0101_3^2 + 6*c_0101_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB