Magma V2.19-8 Tue Aug 20 2013 16:14:29 on localhost [Seed = 3069651634] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s468 geometric_solution 4.83313587 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 2 0 0 0132 0132 2031 1302 0 0 0 0 0 -1 1 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 0 -1 0 0 1 -1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.446315710115 0.287166975452 0 3 2 4 0132 0132 1230 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.415424220095 1.019542498230 3 0 4 1 3201 0132 0132 3012 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 -1 1 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 0.415424220095 1.019542498230 5 1 5 2 0132 0132 2310 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 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 0.131330276182 1.907589046382 4 4 1 2 1230 3012 0132 0132 0 0 0 0 0 -1 0 1 0 0 0 0 1 0 0 -1 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 0 0 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.874215108654 1.240472525276 3 3 5 5 0132 3201 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 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 0.400918347462 0.141632994334 ==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_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_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_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0110_2'], 'c_1100_1' : d['c_0110_2'], 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0110_2'], 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : d['c_0101_0'], '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' : negation(d['c_0011_0']), 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_1' : negation(d['c_0110_2']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_4']), 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0011_4'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0110_2']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_4']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0101_0, c_0101_1, c_0101_3, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 11429438/2281943*c_0110_2^11 - 77678614/2281943*c_0110_2^10 + 21879675/2281943*c_0110_2^9 + 139806631/2281943*c_0110_2^8 + 239431796/2281943*c_0110_2^7 - 15316981/2281943*c_0110_2^6 - 201990570/2281943*c_0110_2^5 - 177452602/2281943*c_0110_2^4 + 63706382/2281943*c_0110_2^3 + 57862529/2281943*c_0110_2^2 - 31885709/2281943*c_0110_2 - 10663465/2281943, c_0011_0 - 1, c_0011_4 - 452526/2281943*c_0110_2^11 + 3749215/2281943*c_0110_2^10 - 5590570/2281943*c_0110_2^9 - 3199356/2281943*c_0110_2^8 - 1843871/2281943*c_0110_2^7 + 12847797/2281943*c_0110_2^6 + 3562684/2281943*c_0110_2^5 - 2181299/2281943*c_0110_2^4 - 8038560/2281943*c_0110_2^3 + 5444240/2281943*c_0110_2^2 + 1791896/2281943*c_0110_2 - 2810787/2281943, c_0101_0 + 47836/2281943*c_0110_2^11 + 127599/2281943*c_0110_2^10 - 3054924/2281943*c_0110_2^9 + 1722960/2281943*c_0110_2^8 + 7856789/2281943*c_0110_2^7 + 7531652/2281943*c_0110_2^6 - 4259419/2281943*c_0110_2^5 - 12160841/2281943*c_0110_2^4 - 5356136/2281943*c_0110_2^3 + 3680032/2281943*c_0110_2^2 + 2264943/2281943*c_0110_2 - 1926454/2281943, c_0101_1 + 2045536/2281943*c_0110_2^11 - 14471902/2281943*c_0110_2^10 + 7989713/2281943*c_0110_2^9 + 22720926/2281943*c_0110_2^8 + 35285565/2281943*c_0110_2^7 - 12667158/2281943*c_0110_2^6 - 29374052/2281943*c_0110_2^5 - 17274861/2281943*c_0110_2^4 + 19575895/2281943*c_0110_2^3 + 2227007/2281943*c_0110_2^2 - 8907898/2281943*c_0110_2 + 838851/2281943, c_0101_3 + 1286270/2281943*c_0110_2^11 - 9284901/2281943*c_0110_2^10 + 6046384/2281943*c_0110_2^9 + 15581397/2281943*c_0110_2^8 + 19077332/2281943*c_0110_2^7 - 14871555/2281943*c_0110_2^6 - 21469905/2281943*c_0110_2^5 - 6227094/2281943*c_0110_2^4 + 19587136/2281943*c_0110_2^3 + 2139750/2281943*c_0110_2^2 - 8996227/2281943*c_0110_2 - 128532/2281943, c_0110_2^12 - 7*c_0110_2^11 + 3*c_0110_2^10 + 14*c_0110_2^9 + 17*c_0110_2^8 - 9*c_0110_2^7 - 22*c_0110_2^6 - 9*c_0110_2^5 + 14*c_0110_2^4 + 6*c_0110_2^3 - 7*c_0110_2^2 - c_0110_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB