Magma V2.19-8 Tue Aug 20 2013 16:18:44 on localhost [Seed = 3836049808] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2896 geometric_solution 6.10523112 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 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 0 -1 0 0 1 -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 -0.164581734433 0.480657737715 0 1 1 4 0132 3201 2310 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.637619583398 1.862155527364 4 0 5 5 3012 0132 0213 0132 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 -1 1 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 0.302808917587 1.086293778784 5 4 6 0 3201 0132 0132 0132 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 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 0.761891648981 0.854187592788 1 3 0 2 3012 0132 0132 1230 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 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 1.365963328593 0.554177014643 6 2 2 3 1302 0213 0132 2310 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 -1 0 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 0.418454518903 0.651994197940 6 5 6 3 2310 2031 3201 0132 0 0 0 0 0 0 1 -1 -1 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.700093519943 0.632690731130 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : negation(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' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_6']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_6']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : negation(d['c_0011_6']), 'c_1100_3' : negation(d['c_0011_6']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : negation(d['c_0101_3']), 'c_0101_5' : negation(d['c_0011_6']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_5'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_3']), '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' : negation(d['c_0011_0']), 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_1001_0'], 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : d['c_1001_0'], 'c_0110_1' : negation(d['c_0011_3']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_3']), 'c_0110_2' : negation(d['c_0011_6']), 'c_0110_5' : negation(d['c_0101_3']), 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_1001_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_3, c_0011_5, c_0011_6, c_0101_1, c_0101_3, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 246908512/161*c_1001_0^17 + 593872416/161*c_1001_0^15 + 1366314070/161*c_1001_0^13 - 814366333/161*c_1001_0^11 + 1084257397/161*c_1001_0^9 - 1642676710/161*c_1001_0^7 + 920387082/161*c_1001_0^5 - 216421890/161*c_1001_0^3 + 18501762/161*c_1001_0, c_0011_0 - 1, c_0011_3 - 15552*c_1001_0^17 - 36864*c_1001_0^15 - 84556*c_1001_0^13 + 54846*c_1001_0^11 - 68782*c_1001_0^9 + 105647*c_1001_0^7 - 60779*c_1001_0^5 + 14605*c_1001_0^3 - 1269*c_1001_0, c_0011_5 + 6656*c_1001_0^16 + 16640*c_1001_0^14 + 38496*c_1001_0^12 - 18080*c_1001_0^10 + 28036*c_1001_0^8 - 41820*c_1001_0^6 + 21183*c_1001_0^4 - 4342*c_1001_0^2 + 309, c_0011_6 - 8896*c_1001_0^16 - 20224*c_1001_0^14 - 46060*c_1001_0^12 + 36766*c_1001_0^10 - 40746*c_1001_0^8 + 63827*c_1001_0^6 - 39596*c_1001_0^4 + 10263*c_1001_0^2 - 960, c_0101_1 + 15168*c_1001_0^17 + 33472*c_1001_0^15 + 75828*c_1001_0^13 - 69014*c_1001_0^11 + 71092*c_1001_0^9 - 112807*c_1001_0^7 + 73154*c_1001_0^5 - 19719*c_1001_0^3 + 1908*c_1001_0, c_0101_3 + 3712*c_1001_0^16 + 8416*c_1001_0^14 + 19176*c_1001_0^12 - 15430*c_1001_0^10 + 17169*c_1001_0^8 - 26704*c_1001_0^6 + 16726*c_1001_0^4 - 4406*c_1001_0^2 + 420, c_1001_0^18 + 2*c_1001_0^16 + 73/16*c_1001_0^14 - 177/32*c_1001_0^12 + 23/4*c_1001_0^10 - 135/16*c_1001_0^8 + 103/16*c_1001_0^6 - 77/32*c_1001_0^4 + 7/16*c_1001_0^2 - 1/32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB