Magma V2.19-8 Tue Aug 20 2013 16:16:30 on localhost [Seed = 1983376016] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0789 geometric_solution 4.73014340 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 0213 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.504308468747 1.278809912470 0 3 0 2 0132 3120 0213 1302 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 1 -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 0.733125194742 0.676732927369 4 4 1 0 0132 3201 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.107240753167 0.330578355609 5 1 0 5 0132 3120 0132 3201 0 0 0 0 0 -1 0 1 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 -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 0.348493558728 0.674157405975 2 4 2 4 0132 1302 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.717124294290 2.920509087846 3 3 6 6 0132 2310 0132 2310 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.382514429950 1.146082652950 5 6 6 5 3201 3201 2310 0132 0 0 0 0 0 1 -1 0 1 0 -1 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.599620683509 0.136722373772 ==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_0011_6'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : negation(d['c_0011_0']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : d['c_0011_6'], '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_0']), 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : d['c_0011_0'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_0'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0011_0']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0011_2']), 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_0101_2']})} 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_0011_6, c_0101_0, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 3*c_0101_5^4 - 10*c_0101_5^3 + 4*c_0101_5^2 + 30*c_0101_5 + 14, c_0011_0 - 1, c_0011_2 + c_0101_5, c_0011_3 - c_0101_5^3 - 2*c_0101_5^2 + c_0101_5 + 1, c_0011_6 + c_0101_5^4 + 3*c_0101_5^3 - 3*c_0101_5, c_0101_0 + c_0101_5^4 + 3*c_0101_5^3 - 3*c_0101_5, c_0101_2 - c_0101_5^2 - c_0101_5 + 1, c_0101_5^5 + 4*c_0101_5^4 + 2*c_0101_5^3 - 5*c_0101_5^2 - 2*c_0101_5 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_3, c_0011_6, c_0101_0, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t - 76460/92043*c_0101_5^16 - 167878/30681*c_0101_5^15 - 67883/10227*c_0101_5^14 + 2730473/92043*c_0101_5^13 + 2441897/30681*c_0101_5^12 - 1588655/92043*c_0101_5^11 - 18467389/92043*c_0101_5^10 - 878015/30681*c_0101_5^9 + 1050754/3409*c_0101_5^8 + 3927086/92043*c_0101_5^7 - 27446204/92043*c_0101_5^6 + 1089353/30681*c_0101_5^5 + 15317741/92043*c_0101_5^4 - 327418/4383*c_0101_5^3 - 1585345/92043*c_0101_5^2 + 2102837/92043*c_0101_5 - 372482/92043, c_0011_0 - 1, c_0011_2 + 154/487*c_0101_5^16 + 1477/487*c_0101_5^15 + 5230/487*c_0101_5^14 + 6334/487*c_0101_5^13 - 7278/487*c_0101_5^12 - 24696/487*c_0101_5^11 - 3720/487*c_0101_5^10 + 40597/487*c_0101_5^9 + 20110/487*c_0101_5^8 - 41429/487*c_0101_5^7 - 21381/487*c_0101_5^6 + 31953/487*c_0101_5^5 + 8226/487*c_0101_5^4 - 18671/487*c_0101_5^3 + 1751/487*c_0101_5^2 + 5440/487*c_0101_5 - 2476/487, c_0011_3 + 111/487*c_0101_5^16 + 1131/487*c_0101_5^15 + 4263/487*c_0101_5^14 + 5356/487*c_0101_5^13 - 7801/487*c_0101_5^12 - 26832/487*c_0101_5^11 - 4117/487*c_0101_5^10 + 51888/487*c_0101_5^9 + 27549/487*c_0101_5^8 - 63461/487*c_0101_5^7 - 35729/487*c_0101_5^6 + 58016/487*c_0101_5^5 + 17712/487*c_0101_5^4 - 37931/487*c_0101_5^3 + 2663/487*c_0101_5^2 + 11985/487*c_0101_5 - 4694/487, c_0011_6 - 195/487*c_0101_5^16 - 1671/487*c_0101_5^15 - 4725/487*c_0101_5^14 - 1683/487*c_0101_5^13 + 15047/487*c_0101_5^12 + 18299/487*c_0101_5^11 - 22277/487*c_0101_5^10 - 40296/487*c_0101_5^9 + 23508/487*c_0101_5^8 + 46833/487*c_0101_5^7 - 23932/487*c_0101_5^6 - 29844/487*c_0101_5^5 + 19993/487*c_0101_5^4 + 7340/487*c_0101_5^3 - 7824/487*c_0101_5^2 + 676/487*c_0101_5 + 599/487, c_0101_0 + 213/487*c_0101_5^16 + 2065/487*c_0101_5^15 + 7259/487*c_0101_5^14 + 8027/487*c_0101_5^13 - 12982/487*c_0101_5^12 - 36194/487*c_0101_5^11 + 1774/487*c_0101_5^10 + 65084/487*c_0101_5^9 + 17695/487*c_0101_5^8 - 72629/487*c_0101_5^7 - 19045/487*c_0101_5^6 + 55810/487*c_0101_5^5 + 2504/487*c_0101_5^4 - 27048/487*c_0101_5^3 + 5834/487*c_0101_5^2 + 5203/487*c_0101_5 - 2400/487, c_0101_2 - c_0101_5^2 - c_0101_5 + 1, c_0101_5^17 + 9*c_0101_5^16 + 27*c_0101_5^15 + 11*c_0101_5^14 - 96*c_0101_5^13 - 131*c_0101_5^12 + 158*c_0101_5^11 + 342*c_0101_5^10 - 180*c_0101_5^9 - 502*c_0101_5^8 + 208*c_0101_5^7 + 459*c_0101_5^6 - 247*c_0101_5^5 - 231*c_0101_5^4 + 197*c_0101_5^3 + 23*c_0101_5^2 - 68*c_0101_5 + 21 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB