Magma V2.19-8 Tue Aug 20 2013 16:16:50 on localhost [Seed = 509575880] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1098 geometric_solution 4.96512765 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 1302 1023 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 -1 0 1 0 0 -1 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 0.347394150644 0.058200408784 0 2 0 2 0132 0132 1023 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2.019899075554 1.688722558711 1 1 3 4 3201 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 -1 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 0.429570468155 0.629173359443 5 4 6 2 0132 3012 0132 0132 0 0 0 0 0 0 1 -1 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 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 0.988213874880 0.599184898532 3 5 2 6 1230 3201 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.988213874880 0.599184898532 3 6 4 6 0132 3120 2310 1302 0 0 0 0 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.463457672308 0.866667090126 4 5 5 3 3201 3120 2031 0132 0 0 0 0 0 0 1 -1 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 -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 0.463457672308 0.866667090126 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : 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' : d['1'], 's_2_1' : 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' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : negation(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' : negation(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' : d['c_0011_6'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_6'], 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : d['c_0011_6'], 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : negation(d['c_0101_0']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), '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' : d['c_0011_0'], 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_0101_0'], 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0011_3'], 'c_1001_2' : negation(d['c_0101_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_0']), 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : negation(d['c_0101_4']), 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : negation(d['c_0101_4']), 'c_1010_0' : d['c_0011_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_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 28 Groebner basis: [ t - 98517328703/118161752320*c_0101_4^13 + 48980467197/1846277380*c_0101_4^11 - 2957442331835/11816175232*c_0101_4^9 + 120491115275137/118161752320*c_0101_4^7 - 154324166689877/118161752320*c_0101_4^5 + 138004726817937/118161752320*c_0101_4^3 - 2720737637939/7385109520*c_0101_4, c_0011_0 - 1, c_0011_3 - 32735357/2954043808*c_0101_3*c_0101_4^13 + 514478455/1477021904*c_0101_3*c_0101_4^11 - 2358203691/738510952*c_0101_3*c_0101_4^9 + 36506259565/2954043808*c_0101_3*c_0101_4^7 - 38262829015/2954043808*c_0101_3*c_0101_4^5 + 35653272085/2954043808*c_0101_3*c_0101_4^3 - 368205907/184627738*c_0101_3*c_0101_4, c_0011_6 + 879495/738510952*c_0101_4^12 - 26629789/738510952*c_0101_4^10 + 223328041/738510952*c_0101_4^8 - 92781769/92313869*c_0101_4^6 + 324244353/738510952*c_0101_4^4 - 341190475/184627738*c_0101_4^2 + 47429765/92313869, c_0101_0 - 220849/738510952*c_0101_4^12 + 8631509/738510952*c_0101_4^10 - 117297269/738510952*c_0101_4^8 + 373555003/369255476*c_0101_4^6 - 2197204823/738510952*c_0101_4^4 + 930532577/369255476*c_0101_4^2 - 104218131/92313869, c_0101_1 - 5610513/1477021904*c_0101_4^13 + 90647703/738510952*c_0101_4^11 - 442519139/369255476*c_0101_4^9 + 7622502209/1477021904*c_0101_4^7 - 11600263243/1477021904*c_0101_4^5 + 10427612865/1477021904*c_0101_4^3 - 683950959/184627738*c_0101_4, c_0101_3^2 + 2749069/738510952*c_0101_4^12 - 21628941/184627738*c_0101_4^10 + 397124351/369255476*c_0101_4^8 - 3062927135/738510952*c_0101_4^6 + 2950058943/738510952*c_0101_4^4 - 1567015823/738510952*c_0101_4^2 + 38932519/92313869, c_0101_4^14 - 32*c_0101_4^12 + 306*c_0101_4^10 - 1279*c_0101_4^8 + 1803*c_0101_4^6 - 1743*c_0101_4^4 + 752*c_0101_4^2 - 128 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB