Magma V2.19-8 Tue Aug 20 2013 16:17:06 on localhost [Seed = 2985307488] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1349 geometric_solution 5.22004806 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.592283298996 0.141432564469 0 2 2 0 3201 0132 1023 0132 0 0 0 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 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 1.406179696926 0.352039512941 3 1 1 4 0132 0132 1023 0132 0 0 0 0 0 0 0 0 1 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 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 0.289177626795 0.825319714034 2 5 4 6 0132 0132 1302 0132 0 0 0 0 0 0 0 0 -1 0 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 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 0.374546154943 0.490516470771 3 6 2 5 2031 1023 0132 2310 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 0.374546154943 0.490516470771 4 3 5 5 3201 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.174628633360 1.006980507267 4 6 3 6 1023 1302 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 -1 0 1 -1 0 0 1 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.710825677352 0.430276320664 ==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' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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' : negation(d['c_0011_4']), 'c_1100_5' : d['c_0101_5'], 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0110_5']), 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : negation(d['c_0110_5']), 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0101_5']), 'c_0110_6' : negation(d['c_0110_5']), 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0110_5']), 'c_1010_3' : negation(d['c_0110_5']), 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_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_1, c_0011_4, c_0101_0, c_0101_2, c_0101_5, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 4001924/1575*c_0110_5^13 + 11155759/315*c_0110_5^12 - 21283069/175*c_0110_5^11 + 39407156/315*c_0110_5^10 - 719677684/1575*c_0110_5^9 + 23184088/175*c_0110_5^8 - 322308001/525*c_0110_5^7 + 54563629/1575*c_0110_5^6 - 574009229/1575*c_0110_5^5 - 1841896/225*c_0110_5^4 - 22003853/225*c_0110_5^3 - 396211/105*c_0110_5^2 - 15213571/1575*c_0110_5 - 396439/1575, c_0011_0 - 1, c_0011_1 - c_0110_5^12 + 14*c_0110_5^11 - 49*c_0110_5^10 + 56*c_0110_5^9 - 196*c_0110_5^8 + 77*c_0110_5^7 - 294*c_0110_5^6 + 44*c_0110_5^5 - 210*c_0110_5^4 + 11*c_0110_5^3 - 77*c_0110_5^2 + c_0110_5 - 11, c_0011_4 - 10*c_0110_5^13 + 175*c_0110_5^12 - 979*c_0110_5^11 + 2254*c_0110_5^10 - 3773*c_0110_5^9 + 7232*c_0110_5^8 - 5061*c_0110_5^7 + 9330*c_0110_5^6 - 2863*c_0110_5^5 + 5554*c_0110_5^4 - 714*c_0110_5^3 + 1518*c_0110_5^2 - 65*c_0110_5 + 153, c_0101_0 + 67/3*c_0110_5^13 - 928/3*c_0110_5^12 + 1037*c_0110_5^11 - 2840/3*c_0110_5^10 + 11384/3*c_0110_5^9 - 963*c_0110_5^8 + 4888*c_0110_5^7 - 2648/3*c_0110_5^6 + 8188/3*c_0110_5^5 - 2965/3*c_0110_5^4 + 1963/3*c_0110_5^3 - 453*c_0110_5^2 + 164/3*c_0110_5 - 190/3, c_0101_2 + 10*c_0110_5^13 - 210*c_0110_5^12 + 1469*c_0110_5^11 - 3962*c_0110_5^10 + 5635*c_0110_5^9 - 13750*c_0110_5^8 + 7378*c_0110_5^7 - 18297*c_0110_5^6 + 3920*c_0110_5^5 - 11042*c_0110_5^4 + 868*c_0110_5^3 - 3037*c_0110_5^2 + 65*c_0110_5 - 307, c_0101_5 + 100/3*c_0110_5^13 - 1384/3*c_0110_5^12 + 1556*c_0110_5^11 - 4712/3*c_0110_5^10 + 18419/3*c_0110_5^9 - 1478*c_0110_5^8 + 8917*c_0110_5^7 - 230/3*c_0110_5^6 + 17578/3*c_0110_5^5 + 1136/3*c_0110_5^4 + 5203/3*c_0110_5^3 + 128*c_0110_5^2 + 557/3*c_0110_5 + 32/3, c_0110_5^14 - 14*c_0110_5^13 + 49*c_0110_5^12 - 56*c_0110_5^11 + 196*c_0110_5^10 - 77*c_0110_5^9 + 294*c_0110_5^8 - 44*c_0110_5^7 + 210*c_0110_5^6 - 11*c_0110_5^5 + 77*c_0110_5^4 - c_0110_5^3 + 14*c_0110_5^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB