Magma V2.19-8 Tue Aug 20 2013 23:56:46 on localhost [Seed = 3549805525] Type ? for help. Type -D to quit. Loading file "L14n24649__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n24649 geometric_solution 10.72985423 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 1 1 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 0 0 0 0 0 0 0 1 0 -1 -1 0 -8 9 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.770187398579 0.833725926230 0 4 2 5 0132 2103 0321 0132 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 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0.680951912903 0.188781735167 5 0 1 6 3201 0132 0321 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 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 0.307271938947 1.114736878304 5 7 6 0 0132 0132 3201 0132 0 1 0 1 0 1 0 -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 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.359621269255 0.605260071795 6 1 0 8 3201 2103 0132 0132 0 1 0 1 0 0 0 0 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 0 0 1 -1 0 0 -9 9 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.358921725152 1.267272834326 3 9 1 2 0132 0132 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.793105464184 0.730498619717 3 10 2 4 2310 0132 0132 2310 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 0 0 -1 0 0 1 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.274470328708 1.221101693584 10 3 10 9 2310 0132 0132 0132 0 1 1 0 0 -1 0 1 -1 0 1 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 8 0 -8 0 8 1 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.410036592036 0.604272350156 11 11 4 10 0132 2310 0132 2310 0 1 1 0 0 0 0 0 -1 0 1 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 -1 1 0 9 0 -9 0 9 -9 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.356236533737 0.533013055705 11 5 7 11 2103 0132 0132 0321 0 1 0 1 0 0 -1 1 0 0 0 0 -1 0 0 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 -9 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.921591752376 0.763044909798 8 6 7 7 3201 0132 3201 0132 0 1 0 1 0 0 0 0 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 0 0 0 0 0 -8 8 0 0 0 0 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.827203925502 0.847266887020 8 9 9 8 0132 0321 2103 3201 0 1 0 1 0 -1 1 0 1 0 0 -1 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 0 0 0 -9 0 0 9 -1 0 0 1 -9 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.866739981536 1.296845444832 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_3'], 'c_1001_10' : negation(d['c_0101_7']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_6']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_0101_6']), 'c_1001_8' : negation(d['c_1001_5']), 'c_1010_11' : d['c_1001_5'], 'c_1010_10' : d['c_1001_0'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0101_10']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : 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' : negation(d['1']), 's_2_7' : 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' : 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_9' : d['c_0011_3'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : d['c_0011_10'], 'c_1100_7' : d['c_0011_3'], 'c_1100_6' : d['c_0011_4'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_10'], 'c_1100_3' : d['c_0011_10'], 'c_1100_2' : d['c_0011_4'], 's_0_10' : negation(d['1']), 'c_1100_11' : d['c_0011_11'], 'c_1100_10' : d['c_0011_3'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_6']), 'c_1010_6' : negation(d['c_0101_7']), 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : negation(d['c_1001_5']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : d['c_1001_5'], 'c_1010_8' : negation(d['c_0101_7']), 'c_1100_8' : d['c_0011_10'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_3'], 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_10']), '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_11' : d['c_0101_7'], 'c_0110_10' : d['c_0101_7'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_10']), 'c_0101_8' : d['c_0101_7'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : negation(d['c_0011_11']), 'c_0110_8' : negation(d['c_0101_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_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_7'], 'c_0110_7' : negation(d['c_0101_10']), 'c_0110_6' : negation(d['c_0101_1'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_6, c_0101_7, c_1001_0, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 1050376578512147/488951420198472*c_1001_5^10 + 651369297620339/651935226931296*c_1001_5^9 + 8751681748088065/488951420198472*c_1001_5^8 - 6877474077016253/1955805680793888*c_1001_5^7 - 134013949535970709/1955805680793888*c_1001_5^6 - 67565324452781803/977902840396944*c_1001_5^5 + 92832100409009593/488951420198472*c_1001_5^4 + 63871188232025617/977902840396944*c_1001_5^3 - 150047507761215233/1955805680793888*c_1001_5^2 - 2773015686598015/22225064554476*c_1001_5 + 60519525632200631/977902840396944, c_0011_0 - 1, c_0011_10 + 14411466801/1940283413486*c_1001_5^10 - 276892737617/7761133653944*c_1001_5^9 - 1319496327627/15522267307888*c_1001_5^8 + 1992029569217/7761133653944*c_1001_5^7 + 7234402518795/15522267307888*c_1001_5^6 - 8356529995885/15522267307888*c_1001_5^5 - 2430773587626/970141706743*c_1001_5^4 + 3610915774277/7761133653944*c_1001_5^3 + 3447852886867/1940283413486*c_1001_5^2 + 1685464988637/1411115209808*c_1001_5 - 915213126127/1940283413486, c_0011_11 - 51881816007/3880566826972*c_1001_5^10 - 254938906235/15522267307888*c_1001_5^9 + 94025372242/970141706743*c_1001_5^8 + 1863978817317/15522267307888*c_1001_5^7 - 4497535769693/15522267307888*c_1001_5^6 - 3098503023653/3880566826972*c_1001_5^5 + 492985234915/7761133653944*c_1001_5^4 + 4606373075005/7761133653944*c_1001_5^3 - 13201435984353/15522267307888*c_1001_5^2 - 40536940180/88194700613*c_1001_5 + 232822889963/970141706743, c_0011_3 - 86703662271/3880566826972*c_1001_5^10 + 137508085397/15522267307888*c_1001_5^9 + 1553615174225/7761133653944*c_1001_5^8 - 199465362091/15522267307888*c_1001_5^7 - 12600235310427/15522267307888*c_1001_5^6 - 6441013756283/7761133653944*c_1001_5^5 + 17185121349579/7761133653944*c_1001_5^4 + 10614310652375/7761133653944*c_1001_5^3 - 12986485076317/15522267307888*c_1001_5^2 - 695477809587/705557604904*c_1001_5 + 695780661904/970141706743, c_0011_4 - 3807955/151979432*c_1001_5^10 + 9571589/607917728*c_1001_5^9 + 118286747/607917728*c_1001_5^8 - 59969071/607917728*c_1001_5^7 - 208018859/303958864*c_1001_5^6 - 292694879/607917728*c_1001_5^5 + 578882669/303958864*c_1001_5^4 - 94696957/151979432*c_1001_5^3 - 562041791/607917728*c_1001_5^2 + 12124915/55265248*c_1001_5 + 60965093/75989716, c_0101_0 + 3807955/151979432*c_1001_5^10 - 9571589/607917728*c_1001_5^9 - 118286747/607917728*c_1001_5^8 + 59969071/607917728*c_1001_5^7 + 208018859/303958864*c_1001_5^6 + 292694879/607917728*c_1001_5^5 - 578882669/303958864*c_1001_5^4 + 94696957/151979432*c_1001_5^3 + 562041791/607917728*c_1001_5^2 - 12124915/55265248*c_1001_5 - 60965093/75989716, c_0101_1 - 1, c_0101_10 + 652288018739/11641700480916*c_1001_5^10 + 452880029881/15522267307888*c_1001_5^9 - 19244861816887/46566801923664*c_1001_5^8 - 14215433920441/46566801923664*c_1001_5^7 + 30062316761441/23283400961832*c_1001_5^6 + 138090458188955/46566801923664*c_1001_5^5 - 32370426114305/23283400961832*c_1001_5^4 - 19467038709167/11641700480916*c_1001_5^3 - 31402050593281/46566801923664*c_1001_5^2 + 3180475802729/4233345629424*c_1001_5 - 2465996723711/5820850240458, c_0101_6 + 14411466801/1940283413486*c_1001_5^10 - 276892737617/7761133653944*c_1001_5^9 - 1319496327627/15522267307888*c_1001_5^8 + 1992029569217/7761133653944*c_1001_5^7 + 7234402518795/15522267307888*c_1001_5^6 - 8356529995885/15522267307888*c_1001_5^5 - 2430773587626/970141706743*c_1001_5^4 + 3610915774277/7761133653944*c_1001_5^3 + 3447852886867/1940283413486*c_1001_5^2 + 1685464988637/1411115209808*c_1001_5 - 915213126127/1940283413486, c_0101_7 + 86703662271/3880566826972*c_1001_5^10 - 137508085397/15522267307888*c_1001_5^9 - 1553615174225/7761133653944*c_1001_5^8 + 199465362091/15522267307888*c_1001_5^7 + 12600235310427/15522267307888*c_1001_5^6 + 6441013756283/7761133653944*c_1001_5^5 - 17185121349579/7761133653944*c_1001_5^4 - 10614310652375/7761133653944*c_1001_5^3 + 12986485076317/15522267307888*c_1001_5^2 + 695477809587/705557604904*c_1001_5 - 695780661904/970141706743, c_1001_0 + 136814970781/7761133653944*c_1001_5^10 + 618778615005/31044534615776*c_1001_5^9 - 3401556653795/31044534615776*c_1001_5^8 - 4905677728111/31044534615776*c_1001_5^7 + 1694248276879/7761133653944*c_1001_5^6 + 31660109377663/31044534615776*c_1001_5^5 + 9330576144193/15522267307888*c_1001_5^4 + 612486864421/3880566826972*c_1001_5^3 - 26463858048875/31044534615776*c_1001_5^2 - 3990113011579/2822230419616*c_1001_5 - 1282878151977/3880566826972, c_1001_5^11 - 3/4*c_1001_5^10 - 8*c_1001_5^9 + 4*c_1001_5^8 + 119/4*c_1001_5^7 + 91/4*c_1001_5^6 - 365/4*c_1001_5^5 + 7/2*c_1001_5^4 + 121/4*c_1001_5^3 + 73/2*c_1001_5^2 - 167/4*c_1001_5 + 18 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.250 seconds, Total memory usage: 32.09MB