Magma V2.19-8 Tue Aug 20 2013 23:45:24 on localhost [Seed = 3566383388] Type ? for help. Type -D to quit. Loading file "L9a37__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L9a37 geometric_solution 10.39437266 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 0 1 0 1 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 -1 1 0 3 0 -3 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.605473595651 0.981596549575 0 5 7 6 0132 0132 0132 0132 0 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 -3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.232144509802 0.776396609807 7 0 9 8 0132 0132 0132 0132 0 1 1 0 0 0 0 0 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 -1 1 0 0 0 0 0 -2 3 0 -1 1 -3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.553454218603 0.473495411071 5 7 6 0 0132 0132 0132 0132 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 0 0 0 0 0 -1 1 -1 0 0 1 -2 2 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.232144509802 0.776396609807 8 10 0 7 0132 0132 0132 0132 0 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 0 0 1 0 -1 0 0 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.553454218603 0.473495411071 3 1 6 6 0132 0132 2103 0321 0 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 1 0 0 -1 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.877123909041 1.304331956071 5 5 1 3 2103 0321 0132 0132 0 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 -1 0 1 0 0 0 0 1 0 0 -1 2 1 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.877123909041 1.304331956071 2 3 4 1 0132 0132 0132 0132 0 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 -1 1 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.605473595651 0.981596549575 4 10 2 9 0132 0213 0132 3120 0 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 -1 0 0 1 3 -1 0 -2 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.212442172833 0.724253202939 8 10 10 2 3120 0321 1302 0132 0 1 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 0 1 -1 -1 0 1 0 2 0 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.479267058869 0.695417118578 9 4 8 9 2031 0132 0213 0321 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 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.479267058869 0.695417118578 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_1001_0'], 'c_1001_5' : d['c_0011_6'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0011_6'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_1'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_9']), 'c_1001_8' : d['c_1001_0'], 'c_1010_10' : d['c_1001_2'], '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_0011_10'], 's_2_0' : negation(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_10' : d['1'], 's_0_8' : d['1'], 's_0_9' : 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' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0011_10'], 'c_1100_8' : d['c_0011_10'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0011_10'], 'c_1100_10' : negation(d['c_0011_9']), 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_6'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : negation(d['c_0011_9']), 's_3_1' : d['1'], 's_3_0' : 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' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : 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' : d['1'], 's_1_3' : negation(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' : d['c_0011_9'], 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], 'c_0110_6' : negation(d['c_0011_6']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : negation(d['c_0011_9']), 'c_0011_6' : d['c_0011_6'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_6']), 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_10']), 'c_0101_8' : d['c_0101_7'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_1'], '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_7'], 'c_0110_5' : negation(d['c_0011_6']), 'c_0110_4' : d['c_0101_7'], '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_6, c_0011_9, c_0101_0, c_0101_1, c_0101_7, c_1001_0, c_1001_1, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 49681986665/5107628672*c_1001_2^10 - 38557270939/1276907168*c_1001_2^9 - 429132806133/638453584*c_1001_2^8 - 7049653048917/2553814336*c_1001_2^7 - 7225829539119/1276907168*c_1001_2^6 - 17954949487541/2553814336*c_1001_2^5 - 28372689191537/5107628672*c_1001_2^4 - 3445546034733/1276907168*c_1001_2^3 - 1690936978661/2553814336*c_1001_2^2 + 59628820885/1276907168*c_1001_2 + 349089203463/5107628672, c_0011_0 - 1, c_0011_10 + 45195669/79806698*c_1001_2^10 + 73951988/39903349*c_1001_2^9 + 1571790769/39903349*c_1001_2^8 + 6671150800/39903349*c_1001_2^7 + 14118552247/39903349*c_1001_2^6 + 36244389789/79806698*c_1001_2^5 + 29465231931/79806698*c_1001_2^4 + 7278491795/39903349*c_1001_2^3 + 3287104851/79806698*c_1001_2^2 - 280272446/39903349*c_1001_2 - 239741165/39903349, c_0011_6 - 58277418/39903349*c_1001_2^10 - 177055577/39903349*c_1001_2^9 - 4020190629/39903349*c_1001_2^8 - 32572415023/79806698*c_1001_2^7 - 33155980387/39903349*c_1001_2^6 - 41204331518/39903349*c_1001_2^5 - 65463762847/79806698*c_1001_2^4 - 16016555468/39903349*c_1001_2^3 - 7654552379/79806698*c_1001_2^2 + 436974953/39903349*c_1001_2 + 422757669/39903349, c_0011_9 + 8280463/39903349*c_1001_2^10 + 24101035/39903349*c_1001_2^9 + 1139498019/79806698*c_1001_2^8 + 4491431711/79806698*c_1001_2^7 + 9064640697/79806698*c_1001_2^6 + 11373705401/79806698*c_1001_2^5 + 9190621939/79806698*c_1001_2^4 + 2343728552/39903349*c_1001_2^3 + 1267163219/79806698*c_1001_2^2 + 11554399/79806698*c_1001_2 - 49901646/39903349, c_0101_0 - 1, c_0101_1 - 100095/1124038*c_1001_2^10 - 449323/1124038*c_1001_2^9 - 3674751/562019*c_1001_2^8 - 37932703/1124038*c_1001_2^7 - 97604371/1124038*c_1001_2^6 - 149796909/1124038*c_1001_2^5 - 145075657/1124038*c_1001_2^4 - 42980900/562019*c_1001_2^3 - 13370759/562019*c_1001_2^2 - 430906/562019*c_1001_2 + 1054585/562019, c_0101_7 - 24979727/39903349*c_1001_2^10 - 154642147/79806698*c_1001_2^9 - 1724588356/39903349*c_1001_2^8 - 7071194773/39903349*c_1001_2^7 - 14411738788/39903349*c_1001_2^6 - 17705619951/39903349*c_1001_2^5 - 27353995153/79806698*c_1001_2^4 - 12700547245/79806698*c_1001_2^3 - 1364493747/39903349*c_1001_2^2 + 289537611/79806698*c_1001_2 + 134326808/39903349, c_1001_0 + 100095/1124038*c_1001_2^10 + 449323/1124038*c_1001_2^9 + 3674751/562019*c_1001_2^8 + 37932703/1124038*c_1001_2^7 + 97604371/1124038*c_1001_2^6 + 149796909/1124038*c_1001_2^5 + 145075657/1124038*c_1001_2^4 + 42980900/562019*c_1001_2^3 + 13370759/562019*c_1001_2^2 + 430906/562019*c_1001_2 - 1054585/562019, c_1001_1 - 21912201/39903349*c_1001_2^10 - 57577716/39903349*c_1001_2^9 - 1488948476/39903349*c_1001_2^8 - 11029444285/79806698*c_1001_2^7 - 10270871286/39903349*c_1001_2^6 - 11510146878/39903349*c_1001_2^5 - 16073020685/79806698*c_1001_2^4 - 3258617748/39903349*c_1001_2^3 - 982868077/79806698*c_1001_2^2 + 219166234/39903349*c_1001_2 + 44416578/39903349, c_1001_2^11 + 4*c_1001_2^10 + 72*c_1001_2^9 + 346*c_1001_2^8 + 844*c_1001_2^7 + 1274*c_1001_2^6 + 1273*c_1001_2^5 + 844*c_1001_2^4 + 346*c_1001_2^3 + 60*c_1001_2^2 - 15*c_1001_2 - 8, c_1100_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB