Magma V2.19-8 Tue Aug 20 2013 16:19:14 on localhost [Seed = 728413740] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3349 geometric_solution 6.49881864 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 3 0132 0132 0132 2310 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.123597369410 0.882039826343 0 4 2 2 0132 0132 2031 1302 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 0.392371131729 0.937408919162 5 0 1 1 0132 0132 2031 1302 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.392371131729 0.937408919162 0 5 4 0 3201 2310 1023 0132 0 0 0 0 0 0 0 0 0 0 -1 1 -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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.947634645430 0.821679470657 5 1 3 6 1023 0132 1023 0132 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 0 -0.052365354570 0.821679470657 2 4 6 3 0132 1023 0132 3201 0 0 0 0 0 0 0 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 0 0 0 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 -0.052365354570 0.821679470657 6 6 4 5 1302 2031 0132 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 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 0.397626763424 0.522308597047 ==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_3']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0101_1'], 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], '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_0011_6'], 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0101_5']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0011_6'], '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' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : negation(d['c_0101_5']), '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_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_3, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 14694386285624556/139510267793245*c_0101_5^11 - 32473393526911277/139510267793245*c_0101_5^10 + 46326832250604199/139510267793245*c_0101_5^9 - 28067834977155541/139510267793245*c_0101_5^8 + 11479838025333621/139510267793245*c_0101_5^7 + 34370762464148984/139510267793245*c_0101_5^6 - 47241467015710428/139510267793245*c_0101_5^5 + 75831452303818894/139510267793245*c_0101_5^4 - 38236897789195586/139510267793245*c_0101_5^3 + 33310083472538534/139510267793245*c_0101_5^2 - 7890993894738731/139510267793245*c_0101_5 + 8781564910493331/139510267793245, c_0011_0 - 1, c_0011_3 + 86487133007352/27902053558649*c_0101_5^11 - 25908941395485/27902053558649*c_0101_5^10 + 12007021621762/27902053558649*c_0101_5^9 + 105565289635328/27902053558649*c_0101_5^8 + 50419680372401/27902053558649*c_0101_5^7 + 192167275856957/27902053558649*c_0101_5^6 + 76159899922988/27902053558649*c_0101_5^5 + 178947042219778/27902053558649*c_0101_5^4 + 242838749184179/27902053558649*c_0101_5^3 + 176948804125688/27902053558649*c_0101_5^2 + 96900437130875/27902053558649*c_0101_5 + 6425276689668/27902053558649, c_0011_6 - 51115643544233/27902053558649*c_0101_5^11 + 115718201036320/27902053558649*c_0101_5^10 - 112857666618965/27902053558649*c_0101_5^9 + 30185778921384/27902053558649*c_0101_5^8 + 33071267381945/27902053558649*c_0101_5^7 - 101411032100161/27902053558649*c_0101_5^6 + 158292672980868/27902053558649*c_0101_5^5 - 151131568050972/27902053558649*c_0101_5^4 + 84935881508585/27902053558649*c_0101_5^3 + 11288289544866/27902053558649*c_0101_5^2 + 68253567859738/27902053558649*c_0101_5 + 9451878248218/27902053558649, c_0101_0 + 95470366895581/27902053558649*c_0101_5^11 - 67908572918492/27902053558649*c_0101_5^10 + 65580117716225/27902053558649*c_0101_5^9 + 79135864693679/27902053558649*c_0101_5^8 + 20969966240789/27902053558649*c_0101_5^7 + 239640005512065/27902053558649*c_0101_5^6 + 27240478863036/27902053558649*c_0101_5^5 + 203801276391999/27902053558649*c_0101_5^4 + 205003853555733/27902053558649*c_0101_5^3 + 191492751597558/27902053558649*c_0101_5^2 + 86086248916478/27902053558649*c_0101_5 + 25417385081034/27902053558649, c_0101_1 - 31726372460920/27902053558649*c_0101_5^11 + 77084473030769/27902053558649*c_0101_5^10 - 98738631557379/27902053558649*c_0101_5^9 + 52280443974226/27902053558649*c_0101_5^8 - 21048197438809/27902053558649*c_0101_5^7 - 55851768723868/27902053558649*c_0101_5^6 + 106386061976427/27902053558649*c_0101_5^5 - 163162428921184/27902053558649*c_0101_5^4 + 82774121875306/27902053558649*c_0101_5^3 - 49990441510281/27902053558649*c_0101_5^2 + 29452998169190/27902053558649*c_0101_5 - 27298282849776/27902053558649, c_0101_2 - 31726372460920/27902053558649*c_0101_5^11 + 77084473030769/27902053558649*c_0101_5^10 - 98738631557379/27902053558649*c_0101_5^9 + 52280443974226/27902053558649*c_0101_5^8 - 21048197438809/27902053558649*c_0101_5^7 - 55851768723868/27902053558649*c_0101_5^6 + 106386061976427/27902053558649*c_0101_5^5 - 163162428921184/27902053558649*c_0101_5^4 + 82774121875306/27902053558649*c_0101_5^3 - 49990441510281/27902053558649*c_0101_5^2 + 29452998169190/27902053558649*c_0101_5 - 27298282849776/27902053558649, c_0101_5^12 - 23/29*c_0101_5^11 + c_0101_5^10 + 9/29*c_0101_5^9 + 20/29*c_0101_5^8 + 66/29*c_0101_5^7 + 1/29*c_0101_5^6 + 82/29*c_0101_5^5 + 40/29*c_0101_5^4 + 70/29*c_0101_5^3 + 20/29*c_0101_5^2 + 13/29*c_0101_5 - 1/29 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB