Magma V2.19-8 Tue Aug 20 2013 17:59:18 on localhost [Seed = 3120041256] Type ? for help. Type -D to quit. Loading file "10^2_40__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_40 geometric_solution 13.01292544 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 14 1 2 3 4 0132 0132 0132 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 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.215933092275 0.508522435873 0 5 7 6 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 -3 3 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 -0.060521713623 0.916525622117 3 0 8 8 0132 0132 2103 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 -1 0 0 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 0.646268988913 0.833036536952 2 5 6 0 0132 1023 2103 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 1 0 0 -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 -0.568133815451 1.017044871747 9 9 0 10 0132 1230 0132 0132 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 0 0 0 0 0 0 1 -1 0 -1 0 1 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 0.438915608393 0.908576825837 3 1 8 11 1023 0132 1230 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 3 -1 -2 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 1.418620769049 0.749394059619 3 11 1 10 2103 0321 0132 2103 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 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.060521713623 0.916525622117 12 12 13 1 0132 2103 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 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.568912407623 0.892372448939 2 11 2 5 2103 1023 0132 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 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 0 0 0 0 0 0.418620769049 0.749394059619 4 13 4 12 0132 2103 3012 0132 0 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 0 0 0 0 0 0 0 0 1 0 -1 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 0.568912407623 0.892372448939 13 13 4 6 2103 1023 0132 2103 0 0 0 1 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 -2 0 0 2 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.438915608393 0.908576825837 8 12 5 6 1023 2310 0132 0321 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 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.897763251721 0.582262497122 7 7 9 11 0132 2103 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.568912407623 0.892372448939 10 9 10 7 1023 2103 2103 0132 0 0 0 1 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 1 2 -3 0 0 0 0 0 0 0 0 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.568912407623 0.892372448939 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_0' : d['1'], 'c_0110_6' : d['c_0110_6'], 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : d['c_0101_10'], 'c_1001_13' : d['c_0011_10'], 'c_1001_12' : negation(d['c_0011_12']), 'c_1001_5' : d['c_0110_8'], 'c_1001_4' : d['c_0011_11'], 'c_1001_7' : d['c_0011_12'], 'c_1001_6' : d['c_0110_8'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_11'], 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : d['c_0011_11'], 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : d['c_0101_11'], 'c_1010_13' : d['c_0011_12'], 'c_1010_12' : negation(d['c_1001_1']), 'c_1010_11' : negation(d['c_0101_7']), 'c_1010_10' : d['c_0101_7'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : negation(d['1']), 's_0_13' : d['1'], 'c_0101_13' : d['c_0101_10'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(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_2_7' : d['1'], 's_2_12' : d['1'], 's_2_13' : d['1'], 's_2_10' : d['1'], 's_2_11' : negation(d['1']), 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(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_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_13' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0110_8'], 'c_1100_4' : negation(d['c_0110_6']), 'c_1100_7' : negation(d['c_0110_10']), 'c_1100_6' : negation(d['c_0110_10']), 'c_1100_1' : negation(d['c_0110_10']), 'c_1100_0' : negation(d['c_0110_6']), 'c_1100_3' : negation(d['c_0110_6']), 'c_1100_2' : negation(d['c_0110_8']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0110_8'], 'c_1100_10' : negation(d['c_0110_6']), 'c_1100_13' : negation(d['c_0110_10']), 's_0_11' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : negation(d['c_0101_7']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0101_10'], 'c_1010_3' : d['c_0101_11'], 'c_1010_2' : d['c_0101_11'], 'c_1010_1' : d['c_0110_8'], 'c_1010_0' : d['c_0011_11'], 'c_1010_9' : negation(d['c_0011_12']), 'c_1010_8' : negation(d['c_0011_6']), 's_3_1' : d['1'], 's_2_8' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0011_11']), 's_1_7' : d['1'], 's_1_6' : 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' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : d['c_0011_11'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_12']), '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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_6']), 'c_0110_10' : d['c_0110_10'], 'c_0110_13' : d['c_0101_7'], 'c_0110_12' : d['c_0101_7'], 'c_0101_12' : d['c_0101_1'], 'c_0110_0' : d['c_0101_1'], 's_3_12' : negation(d['1']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_6'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0101_0'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_11']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : negation(d['c_0110_8'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 15 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_7, c_0110_10, c_0110_6, c_0110_8, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 281617499/1974915072*c_1001_1^5 - 335854771/1974915072*c_1001_1^4 - 8578517/50638848*c_1001_1^3 + 278975951/987457536*c_1001_1^2 + 241031237/219435008*c_1001_1 - 11137153195/1974915072, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 + 157/2853*c_1001_1^5 + 275/2853*c_1001_1^4 + 97/951*c_1001_1^3 + 886/2853*c_1001_1^2 - 141/317*c_1001_1 + 6410/2853, c_0011_12 - 139/2853*c_1001_1^5 + 229/2853*c_1001_1^4 - 310/951*c_1001_1^3 + 1796/2853*c_1001_1^2 - 386/317*c_1001_1 + 358/2853, c_0011_6 + 1, c_0101_0 + 125/2853*c_1001_1^5 + 13/2853*c_1001_1^4 + 53/951*c_1001_1^3 - 712/2853*c_1001_1^2 - 254/951*c_1001_1 + 3571/2853, c_0101_1 + 71/951*c_1001_1^5 + 86/951*c_1001_1^4 + 58/317*c_1001_1^3 - 199/951*c_1001_1^2 - 164/951*c_1001_1 + 1970/951, c_0101_10 - 53/2853*c_1001_1^5 + 101/2853*c_1001_1^4 + 46/951*c_1001_1^3 + 28/2853*c_1001_1^2 - 47/951*c_1001_1 - 4078/2853, c_0101_11 + 157/2853*c_1001_1^5 + 275/2853*c_1001_1^4 + 97/951*c_1001_1^3 + 886/2853*c_1001_1^2 - 141/317*c_1001_1 + 3557/2853, c_0101_7 - 71/951*c_1001_1^5 - 86/951*c_1001_1^4 - 58/317*c_1001_1^3 + 199/951*c_1001_1^2 + 164/951*c_1001_1 - 1970/951, c_0110_10 - 157/2853*c_1001_1^5 - 275/2853*c_1001_1^4 - 97/951*c_1001_1^3 - 886/2853*c_1001_1^2 + 141/317*c_1001_1 - 6410/2853, c_0110_6 + c_1001_1, c_0110_8 + 125/2853*c_1001_1^5 + 13/2853*c_1001_1^4 + 53/951*c_1001_1^3 - 712/2853*c_1001_1^2 - 254/951*c_1001_1 + 3571/2853, c_1001_1^6 + c_1001_1^5 + c_1001_1^4 - 2*c_1001_1^3 - 7*c_1001_1^2 + 41*c_1001_1 - 8 ], Ideal of Polynomial ring of rank 15 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_7, c_0110_10, c_0110_6, c_0110_8, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 14127504/70093*c_1001_1^9 + 57832778/70093*c_1001_1^8 + 107436647/70093*c_1001_1^7 + 104363303/70093*c_1001_1^6 + 88623021/70093*c_1001_1^5 - 240620376/70093*c_1001_1^4 + 176121579/70093*c_1001_1^3 - 117044988/70093*c_1001_1^2 + 134864781/70093*c_1001_1 - 55168539/70093, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 + 10427/70093*c_1001_1^9 + 37573/70093*c_1001_1^8 + 53558/70093*c_1001_1^7 + 17862/70093*c_1001_1^6 - 19946/70093*c_1001_1^5 - 284656/70093*c_1001_1^4 + 117609/70093*c_1001_1^3 - 124043/70093*c_1001_1^2 + 34755/70093*c_1001_1 - 34019/70093, c_0011_12 - 16081/70093*c_1001_1^9 - 61718/70093*c_1001_1^8 - 101711/70093*c_1001_1^7 - 79672/70093*c_1001_1^6 - 74677/70093*c_1001_1^5 + 260137/70093*c_1001_1^4 - 297825/70093*c_1001_1^3 + 61377/70093*c_1001_1^2 - 16225/70093*c_1001_1 - 18192/70093, c_0011_6 + 44149/70093*c_1001_1^9 + 202581/70093*c_1001_1^8 + 423692/70093*c_1001_1^7 + 495112/70093*c_1001_1^6 + 474368/70093*c_1001_1^5 - 516702/70093*c_1001_1^4 + 289861/70093*c_1001_1^3 + 63659/70093*c_1001_1^2 + 157401/70093*c_1001_1 - 38198/70093, c_0101_0 + 27006/70093*c_1001_1^9 + 109327/70093*c_1001_1^8 + 194470/70093*c_1001_1^7 + 170443/70093*c_1001_1^6 + 137894/70093*c_1001_1^5 - 465722/70093*c_1001_1^4 + 376785/70093*c_1001_1^3 - 74451/70093*c_1001_1^2 + 167120/70093*c_1001_1 - 79189/70093, c_0101_1 - 10130/70093*c_1001_1^9 - 56078/70093*c_1001_1^8 - 147986/70093*c_1001_1^7 - 237440/70093*c_1001_1^6 - 286411/70093*c_1001_1^5 - 81567/70093*c_1001_1^4 - 64232/70093*c_1001_1^3 - 12033/70093*c_1001_1^2 - 75275/70093*c_1001_1 - 29104/70093, c_0101_10 + 9850/70093*c_1001_1^9 + 18063/70093*c_1001_1^8 - 45487/70093*c_1001_1^7 - 225800/70093*c_1001_1^6 - 365005/70093*c_1001_1^5 - 606395/70093*c_1001_1^4 + 206725/70093*c_1001_1^3 - 9542/70093*c_1001_1^2 - 3818/70093*c_1001_1 - 114585/70093, c_0101_11 + 27288/70093*c_1001_1^9 + 120077/70093*c_1001_1^8 + 238625/70093*c_1001_1^7 + 256487/70093*c_1001_1^6 + 227211/70093*c_1001_1^5 - 400679/70093*c_1001_1^4 + 203735/70093*c_1001_1^3 - 30192/70093*c_1001_1^2 + 96078/70093*c_1001_1 - 1062/70093, c_0101_7 + 10130/70093*c_1001_1^9 + 56078/70093*c_1001_1^8 + 147986/70093*c_1001_1^7 + 237440/70093*c_1001_1^6 + 286411/70093*c_1001_1^5 + 81567/70093*c_1001_1^4 + 64232/70093*c_1001_1^3 + 12033/70093*c_1001_1^2 + 75275/70093*c_1001_1 + 29104/70093, c_0110_10 - 10427/70093*c_1001_1^9 - 37573/70093*c_1001_1^8 - 53558/70093*c_1001_1^7 - 17862/70093*c_1001_1^6 + 19946/70093*c_1001_1^5 + 284656/70093*c_1001_1^4 - 117609/70093*c_1001_1^3 + 124043/70093*c_1001_1^2 - 34755/70093*c_1001_1 + 34019/70093, c_0110_6 + c_1001_1, c_0110_8 - 27006/70093*c_1001_1^9 - 109327/70093*c_1001_1^8 - 194470/70093*c_1001_1^7 - 170443/70093*c_1001_1^6 - 137894/70093*c_1001_1^5 + 465722/70093*c_1001_1^4 - 376785/70093*c_1001_1^3 + 74451/70093*c_1001_1^2 - 97027/70093*c_1001_1 + 79189/70093, c_1001_1^10 + 4*c_1001_1^9 + 7*c_1001_1^8 + 6*c_1001_1^7 + 5*c_1001_1^6 - 17*c_1001_1^5 + 15*c_1001_1^4 - 4*c_1001_1^3 + 4*c_1001_1^2 - 3*c_1001_1 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.280 Total time: 0.500 seconds, Total memory usage: 32.09MB