Magma V2.19-8 Tue Aug 20 2013 23:40:37 on localhost [Seed = 1157833173] Type ? for help. Type -D to quit. Loading file "L11n154__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n154 geometric_solution 10.17500443 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 1 1 0 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 1 -1 0 0 0 0 0 1 0 -1 -9 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.440669100221 1.138653054713 0 5 7 6 0132 0132 0132 0132 1 1 1 0 0 -1 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 0 0 0 0 9 0 -9 0 0 1 -1 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.704391777192 0.763827565242 8 0 5 3 0132 0132 0132 0132 1 1 1 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 0 0 0 0 0 0 0 9 0 0 -9 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.086613142128 0.633348699944 9 6 2 0 0132 1302 0132 0132 1 1 1 1 0 0 0 0 0 0 0 0 0 -1 0 1 0 1 -1 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 9 0 -9 -1 -8 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.129198806007 0.925845882030 10 7 0 5 0132 0132 0132 0132 1 1 1 0 0 -1 0 1 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 8 1 -9 0 0 0 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 0.856222980737 0.888977879296 8 1 4 2 1023 0132 0132 0132 1 1 0 1 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 -9 9 0 0 0 0 0 0 0 0 0 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.177293789422 1.096213134341 9 9 1 3 2103 0132 0132 2031 1 1 1 1 0 0 -1 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 9 -9 0 0 1 -1 -8 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.696813343226 1.042753715020 10 4 9 1 3120 0132 0132 0132 1 1 0 1 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 0 0 0 0 0 -8 8 0 1 0 0 -1 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.739341369027 0.512664366530 2 5 10 10 0132 1023 3120 0321 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 -1 1 -1 0 0 1 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.177293789422 1.096213134341 3 6 6 7 0132 0132 2103 0132 1 1 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 0 0 0 0 0 8 -8 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 0.636879742852 0.567373502253 4 8 8 7 0132 0321 3120 3120 1 1 0 1 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 0 0 0 0 0 1 -1 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.437952420395 0.583548767811 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0110_6'], 'c_1001_10' : negation(d['c_0101_10']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : d['c_1001_5'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0110_6'], 'c_1001_3' : d['c_0110_6'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_0011_3'], 'c_1001_8' : d['c_0101_10'], 'c_1010_10' : negation(d['c_0011_10']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : negation(d['1']), 's_2_10' : d['1'], 's_0_8' : d['1'], 's_0_9' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0110_6']), 'c_1100_8' : negation(d['c_0101_10']), 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0110_6']), 'c_1100_6' : negation(d['c_0110_6']), 'c_1100_1' : negation(d['c_0110_6']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 'c_1100_10' : negation(d['c_0101_3']), 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_5'], 'c_1010_3' : d['c_0110_6'], 'c_1010_2' : d['c_0110_6'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_1001_5'], 'c_1010_8' : negation(d['c_0011_10']), 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : negation(d['1']), 's_3_8' : d['1'], 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_10'], 'c_0011_6' : d['c_0011_3'], '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_0110_10' : d['c_0101_1'], 'c_0101_7' : d['c_0101_3'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_10'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_10']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_3'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0110_6, c_1001_1, c_1001_5, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 4832783910/80516909*c_1100_0^9 + 872711969/29278876*c_1100_0^8 + 34333988039/322067636*c_1100_0^7 + 12782465659/322067636*c_1100_0^6 + 2188664895/14639438*c_1100_0^5 + 53431296035/322067636*c_1100_0^4 + 3269663851/322067636*c_1100_0^3 + 5085371856/80516909*c_1100_0^2 + 3497962109/80516909*c_1100_0 + 8167300787/322067636, c_0011_0 - 1, c_0011_10 - 741638/665429*c_1100_0^9 + 3456197/2661716*c_1100_0^8 - 2866067/2661716*c_1100_0^7 + 6962385/2661716*c_1100_0^6 - 2049925/1330858*c_1100_0^5 + 3181253/2661716*c_1100_0^4 + 10388305/2661716*c_1100_0^3 - 1224987/665429*c_1100_0^2 + 293498/665429*c_1100_0 + 1640233/2661716, c_0011_3 + 2063778/665429*c_1100_0^9 + 928137/2661716*c_1100_0^8 + 10422603/2661716*c_1100_0^7 - 85871/2661716*c_1100_0^6 + 3726819/665429*c_1100_0^5 + 16486371/2661716*c_1100_0^4 - 11823187/2661716*c_1100_0^3 + 2749531/1330858*c_1100_0^2 + 3133635/1330858*c_1100_0 + 648391/2661716, c_0101_0 - 1, c_0101_1 + 1, c_0101_10 - 1014420/665429*c_1100_0^9 - 1958485/1330858*c_1100_0^8 - 1058861/665429*c_1100_0^7 - 3267165/1330858*c_1100_0^6 - 2155875/1330858*c_1100_0^5 - 4910702/665429*c_1100_0^4 + 2041609/1330858*c_1100_0^3 - 2335893/1330858*c_1100_0^2 - 2665095/1330858*c_1100_0 - 235165/665429, c_0101_3 + 25938/665429*c_1100_0^9 + 1960065/2661716*c_1100_0^8 + 85871/2661716*c_1100_0^7 + 2634837/2661716*c_1100_0^6 - 252009/665429*c_1100_0^5 + 3568075/2661716*c_1100_0^4 + 1724161/2661716*c_1100_0^3 - 2400715/1330858*c_1100_0^2 + 191749/1330858*c_1100_0 + 1629827/2661716, c_0110_6 + 217168/665429*c_1100_0^9 + 51942/665429*c_1100_0^8 + 594631/1330858*c_1100_0^7 - 309216/665429*c_1100_0^6 + 1162147/1330858*c_1100_0^5 + 379193/1330858*c_1100_0^4 + 247705/665429*c_1100_0^3 - 825931/1330858*c_1100_0^2 + 201563/1330858*c_1100_0 + 1037663/1330858, c_1001_1 - 217168/665429*c_1100_0^9 - 51942/665429*c_1100_0^8 - 594631/1330858*c_1100_0^7 + 309216/665429*c_1100_0^6 - 1162147/1330858*c_1100_0^5 - 379193/1330858*c_1100_0^4 - 247705/665429*c_1100_0^3 + 825931/1330858*c_1100_0^2 + 1129295/1330858*c_1100_0 - 1037663/1330858, c_1001_5 - c_1100_0, c_1100_0^10 + 1/8*c_1100_0^9 + 3/2*c_1100_0^8 + 17/8*c_1100_0^6 + 15/8*c_1100_0^5 - c_1100_0^4 + 7/8*c_1100_0^3 + 1/2*c_1100_0^2 + 1/8*c_1100_0 - 1/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.240 seconds, Total memory usage: 32.09MB