Magma V2.19-8 Tue Aug 20 2013 16:19:02 on localhost [Seed = 2193825769] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3191 geometric_solution 6.34054402 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 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 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 0.367425826829 0.646017809841 0 5 6 5 0132 0132 0132 3012 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 -1 0 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 0.088884624280 1.284836972899 6 0 4 6 0213 0132 1230 2031 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.474008344252 1.306166113584 3 4 3 0 2031 2103 1302 0132 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 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 0.635117218579 0.438848243450 5 3 0 2 3201 2103 0132 3012 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 0 1 -1 0 0 0 0 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.773801359418 0.790246394280 6 1 1 4 2031 0132 1230 2310 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 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 0.946413290701 0.774601748292 2 2 5 1 0213 1302 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.295690248358 1.466186779167 ==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_0101_5'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_5'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0110_4'], 'c_0101_6' : negation(d['c_0011_0']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0011_6'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_4'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], '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' : negation(d['c_0101_5']), 'c_1001_4' : d['c_0011_3'], 'c_1001_6' : negation(d['c_0101_1']), 'c_1001_1' : negation(d['c_0110_4']), 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : d['c_0011_4'], 'c_1001_2' : d['c_0011_3'], 'c_0110_1' : d['c_0011_4'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : negation(d['c_0110_4']), 'c_1010_5' : negation(d['c_0110_4']), 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : negation(d['c_0101_5']), 'c_1010_0' : d['c_0011_3']})} 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_4, c_0011_6, c_0101_1, c_0101_5, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 149686841891476/146061238381835*c_0101_5^17 + 338386735224534/146061238381835*c_0101_5^16 + 305162074751151/146061238381835*c_0101_5^15 - 318993283829434/146061238381835*c_0101_5^14 - 662900317871642/146061238381835*c_0101_5^13 + 3193750002900119/146061238381835*c_0101_5^12 + 2906527513813643/146061238381835*c_0101_5^11 - 2925690393946675/29212247676367*c_0101_5^10 - 25603672390115249/146061238381835*c_0101_5^9 - 3951114214270878/146061238381835*c_0101_5^8 + 23695915616042029/146061238381835*c_0101_5^7 + 1551652358757088/20865891197405*c_0101_5^6 - 2605352106343461/20865891197405*c_0101_5^5 - 18822768798101529/146061238381835*c_0101_5^4 - 3894924517485524/146061238381835*c_0101_5^3 + 645351880699054/29212247676367*c_0101_5^2 + 2738313471409626/146061238381835*c_0101_5 + 810184323400784/146061238381835, c_0011_0 - 1, c_0011_3 + 28409452465/29212247676367*c_0101_5^17 + 230013358428/4173178239481*c_0101_5^16 - 1274004453010/4173178239481*c_0101_5^15 + 11437512970841/29212247676367*c_0101_5^14 + 7359289078896/29212247676367*c_0101_5^13 - 18809181498273/29212247676367*c_0101_5^12 - 29869286290422/29212247676367*c_0101_5^11 + 11066962779004/4173178239481*c_0101_5^10 + 190170701647391/29212247676367*c_0101_5^9 - 284011699227549/29212247676367*c_0101_5^8 - 386355480021780/29212247676367*c_0101_5^7 + 20853906546193/4173178239481*c_0101_5^6 + 48643580287151/4173178239481*c_0101_5^5 + 9462692180757/29212247676367*c_0101_5^4 - 278790778081633/29212247676367*c_0101_5^3 - 97552308336386/29212247676367*c_0101_5^2 - 4636332017696/29212247676367*c_0101_5 + 35831173430322/29212247676367, c_0011_4 - 765449331676/29212247676367*c_0101_5^17 + 817887178327/4173178239481*c_0101_5^16 - 2082774419849/4173178239481*c_0101_5^15 + 14669316052248/29212247676367*c_0101_5^14 - 5545752566812/29212247676367*c_0101_5^13 + 16733717769425/29212247676367*c_0101_5^12 - 68805442080005/29212247676367*c_0101_5^11 + 736929271691/4173178239481*c_0101_5^10 + 200942468783835/29212247676367*c_0101_5^9 - 37607998736599/29212247676367*c_0101_5^8 - 85677471857252/29212247676367*c_0101_5^7 - 7215480034496/4173178239481*c_0101_5^6 + 6550538746650/4173178239481*c_0101_5^5 + 26521178006048/29212247676367*c_0101_5^4 + 44655931348171/29212247676367*c_0101_5^3 + 6753472416030/29212247676367*c_0101_5^2 - 54574045753006/29212247676367*c_0101_5 - 5515280368152/29212247676367, c_0011_6 + 69166499492/29212247676367*c_0101_5^17 + 512394756549/4173178239481*c_0101_5^16 - 715990062183/4173178239481*c_0101_5^15 - 22999451114552/29212247676367*c_0101_5^14 + 27288846365393/29212247676367*c_0101_5^13 + 8298793575582/29212247676367*c_0101_5^12 - 80024868835318/29212247676367*c_0101_5^11 - 20399423750304/4173178239481*c_0101_5^10 + 474583776920598/29212247676367*c_0101_5^9 + 911741642894932/29212247676367*c_0101_5^8 - 12192472947930/29212247676367*c_0101_5^7 - 109276179416736/4173178239481*c_0101_5^6 - 36618017807407/4173178239481*c_0101_5^5 + 641566533566243/29212247676367*c_0101_5^4 + 502520834064525/29212247676367*c_0101_5^3 + 96871607506363/29212247676367*c_0101_5^2 - 66730749984104/29212247676367*c_0101_5 - 35900284648552/29212247676367, c_0101_1 - 5515280368152/29212247676367*c_0101_5^17 + 2473041490876/4173178239481*c_0101_5^16 - 817887178327/4173178239481*c_0101_5^15 - 1966420165513/29212247676367*c_0101_5^14 - 20184596420400/29212247676367*c_0101_5^13 + 126881920666156/29212247676367*c_0101_5^12 - 5703157033121/29212247676367*c_0101_5^11 - 70536165067357/4173178239481*c_0101_5^10 - 496018457667365/29212247676367*c_0101_5^9 + 91367390728221/29212247676367*c_0101_5^8 + 594651315919951/29212247676367*c_0101_5^7 + 421180904996/4173178239481*c_0101_5^6 - 64483164751480/4173178239481*c_0101_5^5 - 327133070002302/29212247676367*c_0101_5^4 - 15490617269744/29212247676367*c_0101_5^3 + 43588554542261/29212247676367*c_0101_5^2 + 26338209792882/29212247676367*c_0101_5 + 25361798076639/29212247676367, c_0101_5^18 - 3*c_0101_5^17 + 3*c_0101_5^15 + c_0101_5^14 - 22*c_0101_5^13 - 2*c_0101_5^12 + 102*c_0101_5^11 + 89*c_0101_5^10 - 53*c_0101_5^9 - 101*c_0101_5^8 + 15*c_0101_5^7 + 91*c_0101_5^6 + 51*c_0101_5^5 - 2*c_0101_5^4 - 16*c_0101_5^3 - 6*c_0101_5^2 + 1, c_0110_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB