Magma V2.19-8 Tue Aug 20 2013 16:16:53 on localhost [Seed = 2277907288] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1148 geometric_solution 5.02599859 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 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.358413140005 1.963814761919 0 3 2 4 0132 1230 0321 0321 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 0 0 0 0 0 0 0 0 0 0 -0.089939921176 0.492798185046 3 0 1 5 1230 0132 0321 0132 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 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 0.150317825222 0.460103506723 4 2 1 0 0321 3012 3012 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.342945780974 0.201952903302 3 1 0 5 0321 0321 0132 1023 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 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 0.150317825222 0.460103506723 6 6 2 4 0132 2310 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.485630602666 1.817081159476 5 6 6 5 0132 3201 2310 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.578337584019 0.444070176595 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : negation(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' : 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' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_5']), 'c_1100_5' : d['c_1001_1'], 'c_1100_4' : negation(d['c_1001_1']), 's_3_6' : d['1'], 'c_1100_1' : d['c_1001_2'], 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : d['c_1001_1'], 'c_0101_6' : negation(d['c_0101_1']), 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_5']), '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_0101_1'], 'c_1001_4' : d['c_1001_2'], 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : d['c_1001_2'], 'c_0110_1' : negation(d['c_0011_4']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_4']), 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0011_3'], 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_1001_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_3, c_0011_4, c_0011_5, c_0101_1, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 7301043217/1258205663232*c_1001_2^10 + 2296195441/69900314624*c_1001_2^9 - 17419214275/139800629248*c_1001_2^8 + 32369599463/89871833088*c_1001_2^7 - 330925496527/314551415808*c_1001_2^6 - 15219365659/39318926976*c_1001_2^5 + 129241998829/78637853952*c_1001_2^4 + 364826741/351061848*c_1001_2^3 + 1264600457/2808494784*c_1001_2^2 - 4584668339/9829731744*c_1001_2 - 9614333825/4914865872, c_0011_0 - 1, c_0011_3 - 1477759/1248219904*c_1001_2^10 + 1364421/312054976*c_1001_2^9 - 20764649/1248219904*c_1001_2^8 + 6653815/156027488*c_1001_2^7 - 21829087/156027488*c_1001_2^6 - 24343889/78013744*c_1001_2^5 - 15691177/39006872*c_1001_2^4 - 1841489/19503436*c_1001_2^3 + 1621886/4875859*c_1001_2^2 + 3907404/4875859*c_1001_2 + 5248605/4875859, c_0011_4 - 1, c_0011_5 + 1850505/1248219904*c_1001_2^10 - 4952093/624109952*c_1001_2^9 + 37271207/1248219904*c_1001_2^8 - 54834829/624109952*c_1001_2^7 + 41100653/156027488*c_1001_2^6 + 7919619/78013744*c_1001_2^5 - 5857117/39006872*c_1001_2^4 - 14408807/19503436*c_1001_2^3 - 3194936/4875859*c_1001_2^2 - 1781870/4875859*c_1001_2 + 1820711/4875859, c_0101_1 - 1301895/1248219904*c_1001_2^10 + 642677/156027488*c_1001_2^9 - 16435969/1248219904*c_1001_2^8 + 9735937/312054976*c_1001_2^7 - 14845803/156027488*c_1001_2^6 - 26943743/78013744*c_1001_2^5 + 3940577/78013744*c_1001_2^4 + 21456299/39006872*c_1001_2^3 + 3324717/4875859*c_1001_2^2 + 5244079/9751718*c_1001_2 + 362599/4875859, c_1001_1 + 56669/312054976*c_1001_2^10 - 175217/312054976*c_1001_2^9 + 183745/78013744*c_1001_2^8 - 1815057/312054976*c_1001_2^7 + 5832767/312054976*c_1001_2^6 + 9215969/156027488*c_1001_2^5 + 8116255/78013744*c_1001_2^4 + 3856769/39006872*c_1001_2^3 + 525873/9751718*c_1001_2^2 - 3584473/4875859*c_1001_2 + 1477759/4875859, c_1001_2^11 - 4*c_1001_2^10 + 15*c_1001_2^9 - 40*c_1001_2^8 + 128*c_1001_2^7 + 232*c_1001_2^6 + 240*c_1001_2^5 - 96*c_1001_2^4 - 448*c_1001_2^3 - 768*c_1001_2^2 - 512*c_1001_2 - 512 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB