Magma V2.19-8 Tue Aug 20 2013 16:17:26 on localhost [Seed = 425231826] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1671 geometric_solution 5.40295555 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1230 3012 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 0 -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 0.298739611623 0.862909223393 3 2 4 0 0132 3012 0132 0132 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 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.925971079021 1.161240096307 1 3 0 4 1230 2310 0132 2310 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 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 0.925971079021 1.161240096307 1 5 5 2 0132 0132 3201 3201 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 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 0.675023165960 0.288964389025 2 6 6 1 3201 0132 3201 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 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 0.061763825132 0.451177226738 3 3 5 5 2310 0132 1230 3012 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.412459201777 0.649708175797 4 4 6 6 2310 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.222357883376 0.889940590841 ==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_1'], 'c_1100_5' : negation(d['c_0101_0']), 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_1']), 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_1'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : negation(d['c_0101_6']), 'c_1001_6' : negation(d['c_0011_1']), 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : negation(d['c_0101_0']), 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0011_1'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0011_1']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_1']), '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_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 302092142567365/12577896481904*c_0101_6^14 + 234472699013055/6288948240952*c_0101_6^13 - 186478219324953/786118530119*c_0101_6^12 - 718136956082807/3144474120476*c_0101_6^11 + 913600825769933/6288948240952*c_0101_6^10 - 975144282480585/6288948240952*c_0101_6^9 - 1706705568457049/6288948240952*c_0101_6^8 + 1096991119395543/1572237060238*c_0101_6^7 + 10090027432648783/6288948240952*c_0101_6^6 - 1901383927871003/12577896481904*c_0101_6^5 - 26720999986958437/12577896481904*c_0101_6^4 - 122602000570589/483765249304*c_0101_6^3 + 14017114019172467/12577896481904*c_0101_6^2 + 101540006520449/6288948240952*c_0101_6 - 1168718782498699/6288948240952, c_0011_0 - 1, c_0011_1 + 31775684661/120941312326*c_0101_6^14 - 13148279655/60470656163*c_0101_6^13 + 152766683449/60470656163*c_0101_6^12 + 256614829864/60470656163*c_0101_6^11 + 143422925578/60470656163*c_0101_6^10 + 280998813847/60470656163*c_0101_6^9 + 439716986936/60470656163*c_0101_6^8 - 85169818093/60470656163*c_0101_6^7 - 995216267395/60470656163*c_0101_6^6 - 1347598324189/120941312326*c_0101_6^5 + 1092283945343/120941312326*c_0101_6^4 + 336289190689/60470656163*c_0101_6^3 - 619971481215/120941312326*c_0101_6^2 - 32942389703/60470656163*c_0101_6 + 65708509281/60470656163, c_0011_4 + 5002011473/120941312326*c_0101_6^14 - 20908804588/60470656163*c_0101_6^13 + 37212921028/60470656163*c_0101_6^12 - 144378287489/60470656163*c_0101_6^11 - 295691964797/60470656163*c_0101_6^10 - 225707892949/60470656163*c_0101_6^9 - 327988478765/60470656163*c_0101_6^8 - 579970504950/60470656163*c_0101_6^7 - 205647442229/60470656163*c_0101_6^6 + 2045418534055/120941312326*c_0101_6^5 + 2311708637247/120941312326*c_0101_6^4 - 199685655458/60470656163*c_0101_6^3 - 1012164775215/120941312326*c_0101_6^2 + 38741187633/60470656163*c_0101_6 + 49760932625/60470656163, c_0101_0 - 32568924109/120941312326*c_0101_6^14 + 13173685162/60470656163*c_0101_6^13 - 160587861650/60470656163*c_0101_6^12 - 254945993501/60470656163*c_0101_6^11 - 198140007126/60470656163*c_0101_6^10 - 287097844005/60470656163*c_0101_6^9 - 364420896603/60470656163*c_0101_6^8 + 93100680714/60470656163*c_0101_6^7 + 1095309154837/60470656163*c_0101_6^6 + 1929051953117/120941312326*c_0101_6^5 - 527449423805/120941312326*c_0101_6^4 - 558600643552/60470656163*c_0101_6^3 - 402831482651/120941312326*c_0101_6^2 + 33266234697/60470656163*c_0101_6 + 75781037017/60470656163, c_0101_1 - 12542498869/60470656163*c_0101_6^14 + 14338261031/60470656163*c_0101_6^13 - 117893419597/60470656163*c_0101_6^12 - 171452921950/60470656163*c_0101_6^11 + 12953325783/60470656163*c_0101_6^10 - 116285491678/60470656163*c_0101_6^9 - 216859933228/60470656163*c_0101_6^8 + 255237725120/60470656163*c_0101_6^7 + 891734280811/60470656163*c_0101_6^6 + 212097253989/60470656163*c_0101_6^5 - 944229032859/60470656163*c_0101_6^4 - 343429979450/60470656163*c_0101_6^3 + 525961624202/60470656163*c_0101_6^2 + 145700944144/60470656163*c_0101_6 - 51886917120/60470656163, c_0101_5 + 9041529726/60470656163*c_0101_6^14 - 19671440973/60470656163*c_0101_6^13 + 91885541136/60470656163*c_0101_6^12 + 37956119821/60470656163*c_0101_6^11 - 170104846201/60470656163*c_0101_6^10 + 22122347353/60470656163*c_0101_6^9 + 39572135928/60470656163*c_0101_6^8 - 370656234694/60470656163*c_0101_6^7 - 543435676933/60470656163*c_0101_6^6 + 555004844443/60470656163*c_0101_6^5 + 1185743255770/60470656163*c_0101_6^4 - 254897104044/60470656163*c_0101_6^3 - 856024303938/60470656163*c_0101_6^2 + 17715894975/60470656163*c_0101_6 + 164684263730/60470656163, c_0101_6^15 - c_0101_6^14 + 9*c_0101_6^13 + 15*c_0101_6^12 - c_0101_6^11 + 3*c_0101_6^10 + 15*c_0101_6^9 - 23*c_0101_6^8 - 83*c_0101_6^7 - 30*c_0101_6^6 + 93*c_0101_6^5 + 59*c_0101_6^4 - 42*c_0101_6^3 - 26*c_0101_6^2 + 8*c_0101_6 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB