Magma V2.19-8 Tue Aug 20 2013 16:18:37 on localhost [Seed = 3549581024] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2801 geometric_solution 6.03332118 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 2 0132 3201 2310 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 -1 0 1 0 0 1 -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 1.056078604090 0.942048582048 0 3 5 4 0132 0132 0132 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 -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 -0.108214786110 0.820535577156 6 4 0 3 0132 1023 0132 2310 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 -1 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 -0.108214786110 0.820535577156 2 1 3 3 3201 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 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 0.107661440949 0.720939130795 2 5 1 6 1023 2103 0132 3012 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 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 -0.673219591694 1.232991822505 6 4 6 1 3201 2103 3012 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 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 0.305484210578 0.507336654393 2 5 4 5 0132 1230 1230 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 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 0.305484210578 0.507336654393 ==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_5'], 'c_1100_5' : negation(d['c_1001_6']), 'c_1100_4' : negation(d['c_1001_6']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_1001_6']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0101_3'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : negation(d['c_0101_3']), 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_2'], 'c_0011_6' : negation(d['c_0011_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0011_2'], 'c_1001_4' : d['c_0011_5'], 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : negation(d['c_0101_3']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_5']), 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_5'], 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : d['c_0011_5'], 'c_1010_1' : d['c_0011_5'], 'c_1010_0' : 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_2, c_0011_5, c_0101_0, c_0101_1, c_0101_3, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 1493644993807223717950/2469351809273711*c_1001_6^10 - 2698519873662469193815/2469351809273711*c_1001_6^9 - 5043893659325335474799/2469351809273711*c_1001_6^8 - 2175001279011580460955/2469351809273711*c_1001_6^7 - 43852269296077004491809/2469351809273711*c_1001_6^6 - 42115130033157926651878/2469351809273711*c_1001_6^5 - 33919247768800259177576/2469351809273711*c_1001_6^4 - 21983208254244887211442/2469351809273711*c_1001_6^3 + 63970483127546620298283/2469351809273711*c_1001_6^2 + 47184643116024275940753/2469351809273711*c_1001_6 - 4232808199792535400360/2469351809273711, c_0011_0 - 1, c_0011_2 - c_1001_6, c_0011_5 - 549145750956929/2469351809273711*c_1001_6^10 + 761616449481047/2469351809273711*c_1001_6^9 + 2448340629409476/2469351809273711*c_1001_6^8 + 1023590239471085/2469351809273711*c_1001_6^7 + 16513967149954952/2469351809273711*c_1001_6^6 + 22206612079962031/2469351809273711*c_1001_6^5 + 13707650798116725/2469351809273711*c_1001_6^4 + 14610414091884689/2469351809273711*c_1001_6^3 - 23579114328377758/2469351809273711*c_1001_6^2 - 25676887741642150/2469351809273711*c_1001_6 + 1000089590230161/2469351809273711, c_0101_0 - 711482856788438/2469351809273711*c_1001_6^10 + 1367449641298035/2469351809273711*c_1001_6^9 + 2071145639918737/2469351809273711*c_1001_6^8 + 1254838992262572/2469351809273711*c_1001_6^7 + 20933518827634482/2469351809273711*c_1001_6^6 + 17796235306632328/2469351809273711*c_1001_6^5 + 19048573344130173/2469351809273711*c_1001_6^4 + 9350174336943616/2469351809273711*c_1001_6^3 - 28460295995868953/2469351809273711*c_1001_6^2 - 19074384665416831/2469351809273711*c_1001_6 - 1169183005039305/2469351809273711, c_0101_1 + 842585128707553/2469351809273711*c_1001_6^10 - 1203231310970831/2469351809273711*c_1001_6^9 - 3731668721554467/2469351809273711*c_1001_6^8 - 1504117967322415/2469351809273711*c_1001_6^7 - 24812202696174044/2469351809273711*c_1001_6^6 - 32873905616139846/2469351809273711*c_1001_6^5 - 19229885701266678/2469351809273711*c_1001_6^4 - 18015279434178312/2469351809273711*c_1001_6^3 + 38801119543327944/2469351809273711*c_1001_6^2 + 39496265333787087/2469351809273711*c_1001_6 - 2655595977944141/2469351809273711, c_0101_3 - 415015127102422/2469351809273711*c_1001_6^10 + 791127409237256/2469351809273711*c_1001_6^9 + 1227615205680074/2469351809273711*c_1001_6^8 + 788848188753751/2469351809273711*c_1001_6^7 + 12086959567534318/2469351809273711*c_1001_6^6 + 10481486331724695/2469351809273711*c_1001_6^5 + 11002606970214222/2469351809273711*c_1001_6^4 + 3591299989953355/2469351809273711*c_1001_6^3 - 16858529167692705/2469351809273711*c_1001_6^2 - 12772942820444955/2469351809273711*c_1001_6 + 636227128927330/2469351809273711, c_1001_6^11 - 13/7*c_1001_6^10 - 23/7*c_1001_6^9 - 9/7*c_1001_6^8 - 205/7*c_1001_6^7 - 187/7*c_1001_6^6 - 149/7*c_1001_6^5 - 95/7*c_1001_6^4 + 305/7*c_1001_6^3 + 206/7*c_1001_6^2 - 31/7*c_1001_6 + 1/7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB