Magma V2.19-8 Tue Aug 20 2013 16:16:16 on localhost [Seed = 661044165] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0524 geometric_solution 4.53789556 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 1 0132 0132 0132 3201 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 -1 1 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 0.675769044189 0.217571232785 0 0 4 4 0132 2310 2310 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.251289024288 1.152323598154 3 0 5 5 1230 0132 3201 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 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 0.412753706891 0.491117651008 6 2 6 0 0132 3012 1023 0132 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 1 -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 0 0 0 2.126621236278 1.427043271941 6 1 1 6 3120 3201 0132 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.432437210439 0.398235413750 2 5 2 5 2310 1302 0132 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.706154264040 1.340267013381 3 4 3 4 0132 1302 1023 3120 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 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 0.567562789561 0.398235413750 ==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' : 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' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : 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' : negation(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' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_0']), 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : d['c_0011_4'], 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_5']), 'c_0101_6' : d['c_0011_0'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0011_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], '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' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0011_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : negation(d['c_0101_2']), 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0011_3'])})} 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_4, c_0011_5, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 19643491/105855768*c_0101_3^17 - 41350901/52927884*c_0101_3^15 + 340029143/105855768*c_0101_3^13 - 755272921/105855768*c_0101_3^11 + 120387079/13231971*c_0101_3^9 - 12180101/52927884*c_0101_3^7 - 189178825/13231971*c_0101_3^5 - 1197648815/105855768*c_0101_3^3 - 41142074/13231971*c_0101_3, c_0011_0 - 1, c_0011_3 + 191501/8821314*c_0101_3^16 - 440419/4410657*c_0101_3^14 + 3846871/8821314*c_0101_3^12 - 9779783/8821314*c_0101_3^10 + 8439692/4410657*c_0101_3^8 - 7931632/4410657*c_0101_3^6 + 1647826/4410657*c_0101_3^4 - 20686261/8821314*c_0101_3^2 - 4808158/4410657, c_0011_4 + 191501/8821314*c_0101_3^16 - 440419/4410657*c_0101_3^14 + 3846871/8821314*c_0101_3^12 - 9779783/8821314*c_0101_3^10 + 8439692/4410657*c_0101_3^8 - 7931632/4410657*c_0101_3^6 + 1647826/4410657*c_0101_3^4 - 11864947/8821314*c_0101_3^2 - 4808158/4410657, c_0011_5 - 217834/4410657*c_0101_3^16 + 1355272/4410657*c_0101_3^14 - 5976344/4410657*c_0101_3^12 + 17764651/4410657*c_0101_3^10 - 34994081/4410657*c_0101_3^8 + 40401052/4410657*c_0101_3^6 - 12691018/4410657*c_0101_3^4 - 3613420/4410657*c_0101_3^2 - 2132567/4410657, c_0101_1 + c_0101_3, c_0101_2 - 397501/8821314*c_0101_3^17 + 1089503/4410657*c_0101_3^15 - 9228359/8821314*c_0101_3^13 + 25311925/8821314*c_0101_3^11 - 22181185/4410657*c_0101_3^9 + 20364722/4410657*c_0101_3^7 + 1210891/4410657*c_0101_3^5 + 11643173/8821314*c_0101_3^3 - 11734384/4410657*c_0101_3, c_0101_3^18 - 5*c_0101_3^16 + 21*c_0101_3^14 - 54*c_0101_3^12 + 87*c_0101_3^10 - 60*c_0101_3^8 - 46*c_0101_3^6 - 21*c_0101_3^4 + 7*c_0101_3^2 - 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB