Magma V2.19-8 Tue Aug 20 2013 16:17:10 on localhost [Seed = 442205898] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1404 geometric_solution 5.24810155 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 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 0.560501928960 0.075582679147 2 0 2 0 0132 2310 1023 0132 0 0 0 0 0 0 -1 1 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 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 0.687245911468 0.160705379677 1 3 1 4 0132 0132 1023 0132 0 0 0 0 0 -1 1 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 0 0 0 0 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.398705963325 1.093698237561 5 2 4 6 0132 0132 3012 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 -1 0 1 0 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.989036499195 1.295778404247 6 3 2 5 1023 1230 0132 3201 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 -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 0.989036499195 1.295778404247 3 4 5 5 0132 2310 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.158228874437 0.972928120973 6 4 3 6 3012 1023 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.032636753235 0.617026234598 ==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' : 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' : d['c_0011_4'], 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : d['c_0011_1'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0011_1'], 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : 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_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_0101_3']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : d['c_0011_4'], 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : negation(d['c_0011_4']), '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_1, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 10326466/847*c_0101_5^15 + 174493771/847*c_0101_5^14 - 6667996/7*c_0101_5^13 + 1502399509/847*c_0101_5^12 - 4127262595/847*c_0101_5^11 + 4612360722/847*c_0101_5^10 - 7623185726/847*c_0101_5^9 + 943250600/121*c_0101_5^8 - 6406229241/847*c_0101_5^7 + 4949888050/847*c_0101_5^6 - 383331514/121*c_0101_5^5 + 1987087694/847*c_0101_5^4 - 547049565/847*c_0101_5^3 + 401524360/847*c_0101_5^2 - 43332144/847*c_0101_5 + 31911720/847, c_0011_0 - 1, c_0011_1 + c_0101_5^14 - 16*c_0101_5^13 + 64*c_0101_5^12 - 92*c_0101_5^11 + 336*c_0101_5^10 - 182*c_0101_5^9 + 672*c_0101_5^8 - 156*c_0101_5^7 + 660*c_0101_5^6 - 65*c_0101_5^5 + 352*c_0101_5^4 - 13*c_0101_5^3 + 104*c_0101_5^2 - c_0101_5 + 13, c_0011_4 - 3473/11*c_0101_5^15 + 53139/11*c_0101_5^14 - 16572*c_0101_5^13 + 146893/11*c_0101_5^12 - 883422/11*c_0101_5^11 - 237032/11*c_0101_5^10 - 1600199/11*c_0101_5^9 - 1042818/11*c_0101_5^8 - 1386078/11*c_0101_5^7 - 1093559/11*c_0101_5^6 - 611189/11*c_0101_5^5 - 501035/11*c_0101_5^4 - 131458/11*c_0101_5^3 - 105777/11*c_0101_5^2 - 10894/11*c_0101_5 - 8403/11, c_0101_0 - 5739/11*c_0101_5^15 + 95082/11*c_0101_5^14 - 37984*c_0101_5^13 + 709972/11*c_0101_5^12 - 2111242/11*c_0101_5^11 + 1940044/11*c_0101_5^10 - 3859258/11*c_0101_5^9 + 2536912/11*c_0101_5^8 - 3216852/11*c_0101_5^7 + 1800849/11*c_0101_5^6 - 1332536/11*c_0101_5^5 + 703421/11*c_0101_5^4 - 266912/11*c_0101_5^3 + 140337/11*c_0101_5^2 - 20596/11*c_0101_5 + 11078/11, c_0101_1 + c_0101_5^15 - 27*c_0101_5^14 + 240*c_0101_5^13 - 795*c_0101_5^12 + 1332*c_0101_5^11 - 3814*c_0101_5^10 + 2582*c_0101_5^9 - 7212*c_0101_5^8 + 2194*c_0101_5^7 - 6653*c_0101_5^6 + 911*c_0101_5^5 - 3225*c_0101_5^4 + 182*c_0101_5^3 - 793*c_0101_5^2 + 14*c_0101_5 - 77, c_0101_3 - 3910/11*c_0101_5^15 + 60485/11*c_0101_5^14 - 19625*c_0101_5^13 + 208855/11*c_0101_5^12 - 1057839/11*c_0101_5^11 - 50696/11*c_0101_5^10 - 1930371/11*c_0101_5^9 - 783797/11*c_0101_5^8 - 1672519/11*c_0101_5^7 - 908225/11*c_0101_5^6 - 734539/11*c_0101_5^5 - 431225/11*c_0101_5^4 - 156975/11*c_0101_5^3 - 92875/11*c_0101_5^2 - 12911/11*c_0101_5 - 7500/11, c_0101_5^16 - 16*c_0101_5^15 + 64*c_0101_5^14 - 92*c_0101_5^13 + 336*c_0101_5^12 - 182*c_0101_5^11 + 672*c_0101_5^10 - 156*c_0101_5^9 + 660*c_0101_5^8 - 65*c_0101_5^7 + 352*c_0101_5^6 - 13*c_0101_5^5 + 104*c_0101_5^4 - c_0101_5^3 + 16*c_0101_5^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB