Magma V2.19-8 Wed Aug 21 2013 01:05:05 on localhost [Seed = 3516385608] Type ? for help. Type -D to quit. Loading file "L14n25008__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n25008 geometric_solution 11.53126715 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 0 1 0 0 0 0 1 0 -1 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 1 -2 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.389547670466 0.752827738295 0 5 7 6 0132 0132 0132 0132 1 1 1 0 0 0 0 0 -1 0 1 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 1 0 -1 0 -1 2 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.729788965381 0.449300096631 4 0 8 5 0213 0132 0132 1302 1 1 1 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 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.570658922974 0.761058644710 9 10 9 0 0132 0132 2310 0132 1 1 1 1 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.197397025104 0.965837482015 2 11 0 12 0213 0132 0132 0132 1 1 1 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 -1 1 0 0 0 0 0 0 0 0 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.649352795868 0.726076488455 7 1 2 8 0321 0132 2031 3120 1 1 0 1 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 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.509967460326 0.710397654365 9 12 1 11 2103 1023 0132 1302 1 1 1 1 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.885566367626 0.550122449280 5 11 10 1 0321 1023 2031 0132 1 1 0 1 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 0 0 0 0 1 -1 0 -2 0 1 1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.241341335705 1.167444158604 5 11 10 2 3120 0321 1023 0132 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 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 0.719577307027 0.794161109887 3 3 6 12 0132 3201 2103 0321 1 1 1 1 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 0.329315309822 0.477137677490 12 3 8 7 3201 0132 1023 1302 1 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 0 0 0 0 0 0 0 1 0 -1 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 -0.209150210724 0.987316674139 7 4 6 8 1023 0132 2031 0321 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 0 0 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 0.163114660666 0.658852755924 6 9 4 10 1023 0321 0132 2310 1 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 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 0.312493704076 0.349892651786 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0110_6']), 'c_1001_10' : d['c_0101_8'], 'c_1001_12' : negation(d['c_0110_6']), 'c_1001_5' : d['c_0101_12'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_11'], 'c_1001_6' : d['c_0101_12'], 'c_1001_1' : negation(d['c_0011_8']), 'c_1001_0' : d['c_0101_8'], 'c_1001_3' : negation(d['c_0101_11']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_12'], 'c_1001_8' : d['c_0101_10'], 'c_1010_12' : d['c_0101_11'], 'c_1010_11' : d['c_1001_2'], 'c_1010_10' : negation(d['c_0101_11']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_12'], '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_10' : d['1'], 's_2_11' : 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' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0110_6']), 'c_1100_8' : d['c_0101_5'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_8']), 'c_1100_4' : d['c_0011_10'], 'c_1100_7' : d['c_0101_11'], 'c_1100_6' : d['c_0101_11'], 'c_1100_1' : d['c_0101_11'], 'c_1100_0' : d['c_0011_10'], 'c_1100_3' : d['c_0011_10'], 'c_1100_2' : d['c_0101_5'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_10'], 'c_1100_10' : negation(d['c_0101_5']), 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_8']), 'c_1010_6' : negation(d['c_0101_10']), 'c_1010_5' : negation(d['c_0011_8']), 'c_1010_4' : negation(d['c_0110_6']), 'c_1010_3' : d['c_0101_8'], 'c_1010_2' : d['c_0101_8'], 'c_1010_1' : d['c_0101_12'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0101_11'], 'c_1010_8' : d['c_1001_2'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : 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' : d['c_0011_10'], '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_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_11'], 'c_0011_6' : d['c_0011_12'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_8']), 'c_0110_10' : negation(d['c_0101_11']), 'c_0110_12' : negation(d['c_0101_10']), 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : negation(d['c_0101_5']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : negation(d['c_0011_12']), 'c_0101_2' : negation(d['c_0011_11']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_12']), 'c_0110_8' : negation(d['c_0011_11']), 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_12']), 'c_0110_5' : negation(d['c_0011_11']), 'c_0110_4' : d['c_0101_12'], 'c_0110_7' : negation(d['c_0011_0']), 'c_0110_6' : d['c_0110_6'], 's_2_9' : d['1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_8, c_0101_0, c_0101_10, c_0101_11, c_0101_12, c_0101_5, c_0101_8, c_0110_6, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 7424652979/415245*c_1001_2^10 - 16291691501/166098*c_1001_2^9 - 38767663801/138415*c_1001_2^8 - 171990908333/830490*c_1001_2^7 - 1204211418/138415*c_1001_2^6 - 1894985870/27683*c_1001_2^5 - 70746374516/415245*c_1001_2^4 - 15928353137/138415*c_1001_2^3 + 15868206361/415245*c_1001_2^2 + 79590776069/830490*c_1001_2 + 27872141053/830490, c_0011_0 - 1, c_0011_10 - 8168/7285*c_1001_2^10 - 73611/14570*c_1001_2^9 - 89102/7285*c_1001_2^8 + 5696/7285*c_1001_2^7 + 21951/7285*c_1001_2^6 - 109527/14570*c_1001_2^5 - 18091/2914*c_1001_2^4 + 929/7285*c_1001_2^3 + 68983/14570*c_1001_2^2 + 8466/7285*c_1001_2 - 22079/14570, c_0011_11 + 2129/7285*c_1001_2^10 + 6804/7285*c_1001_2^9 + 12281/7285*c_1001_2^8 - 24888/7285*c_1001_2^7 + 13332/7285*c_1001_2^6 + 20748/7285*c_1001_2^5 - 533/1457*c_1001_2^4 - 4847/7285*c_1001_2^3 - 9442/7285*c_1001_2^2 + 4652/7285*c_1001_2 + 6301/7285, c_0011_12 + 746/1457*c_1001_2^10 + 7093/2914*c_1001_2^9 + 9206/1457*c_1001_2^8 + 2448/1457*c_1001_2^7 + 74/1457*c_1001_2^6 + 7455/2914*c_1001_2^5 + 12443/2914*c_1001_2^4 + 2507/1457*c_1001_2^3 - 4711/2914*c_1001_2^2 - 2034/1457*c_1001_2 + 313/2914, c_0011_8 - 6416/7285*c_1001_2^10 - 31451/7285*c_1001_2^9 - 80864/7285*c_1001_2^8 - 21933/7285*c_1001_2^7 + 21117/7285*c_1001_2^6 - 43652/7285*c_1001_2^5 - 7365/1457*c_1001_2^4 - 7597/7285*c_1001_2^3 + 24653/7285*c_1001_2^2 + 14142/7285*c_1001_2 - 6424/7285, c_0101_0 - 1, c_0101_10 - 13852/7285*c_1001_2^10 - 62302/7285*c_1001_2^9 - 150058/7285*c_1001_2^8 + 13684/7285*c_1001_2^7 + 45414/7285*c_1001_2^6 - 86014/7285*c_1001_2^5 - 13947/1457*c_1001_2^4 + 3741/7285*c_1001_2^3 + 68581/7285*c_1001_2^2 + 22784/7285*c_1001_2 - 23843/7285, c_0101_11 + 1905/1457*c_1001_2^10 + 16357/2914*c_1001_2^9 + 18872/1457*c_1001_2^8 - 6393/1457*c_1001_2^7 - 7139/1457*c_1001_2^6 + 20379/2914*c_1001_2^5 + 13445/2914*c_1001_2^4 - 803/1457*c_1001_2^3 - 15989/2914*c_1001_2^2 - 2241/1457*c_1001_2 + 5973/2914, c_0101_12 + 15941/7285*c_1001_2^10 + 144687/14570*c_1001_2^9 + 175224/7285*c_1001_2^8 - 10032/7285*c_1001_2^7 - 56812/7285*c_1001_2^6 + 189199/14570*c_1001_2^5 + 28175/2914*c_1001_2^4 + 3582/7285*c_1001_2^3 - 129251/14570*c_1001_2^2 - 25347/7285*c_1001_2 + 42713/14570, c_0101_5 + 12638/7285*c_1001_2^10 + 109491/14570*c_1001_2^9 + 126237/7285*c_1001_2^8 - 40636/7285*c_1001_2^7 - 52171/7285*c_1001_2^6 + 177927/14570*c_1001_2^5 + 23827/2914*c_1001_2^4 - 9559/7285*c_1001_2^3 - 118363/14570*c_1001_2^2 - 12646/7285*c_1001_2 + 39169/14570, c_0101_8 - 8168/7285*c_1001_2^10 - 73611/14570*c_1001_2^9 - 89102/7285*c_1001_2^8 + 5696/7285*c_1001_2^7 + 21951/7285*c_1001_2^6 - 109527/14570*c_1001_2^5 - 18091/2914*c_1001_2^4 + 929/7285*c_1001_2^3 + 68983/14570*c_1001_2^2 + 15751/7285*c_1001_2 - 22079/14570, c_0110_6 - 8797/7285*c_1001_2^10 - 78699/14570*c_1001_2^9 - 92833/7285*c_1001_2^8 + 16659/7285*c_1001_2^7 + 39939/7285*c_1001_2^6 - 138533/14570*c_1001_2^5 - 20185/2914*c_1001_2^4 + 8356/7285*c_1001_2^3 + 92027/14570*c_1001_2^2 + 8474/7285*c_1001_2 - 34911/14570, c_1001_2^11 + 5*c_1001_2^10 + 13*c_1001_2^9 + 4*c_1001_2^8 - 5*c_1001_2^7 + 4*c_1001_2^6 + 8*c_1001_2^5 + 2*c_1001_2^4 - 5*c_1001_2^3 - 4*c_1001_2^2 + c_1001_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.230 Total time: 1.439 seconds, Total memory usage: 32.09MB