Magma V2.19-8 Tue Aug 20 2013 16:17:36 on localhost [Seed = 779072201] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1836 geometric_solution 5.48788878 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 1230 3012 0 0 0 0 0 0 1 -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 1 -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 0.467732432379 0.554580610341 0 3 2 4 0132 0132 1230 0132 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 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 0.707735657674 0.853828979788 3 0 4 1 3201 0132 3201 3012 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 -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 0.707735657674 0.853828979788 3 1 3 2 2310 0132 3201 2310 0 0 0 0 0 0 0 0 1 0 0 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.269126118393 1.023858156034 2 5 1 5 2310 0132 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.975856656075 0.551093942637 4 4 6 6 3201 0132 2310 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 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 0.145898267780 0.452908208081 6 5 5 6 3012 3201 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -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 -0.742096361699 0.805239700012 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : 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_0' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : 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_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_6'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], '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_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : negation(d['c_0101_6']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 28 Groebner basis: [ t - 968794088/102109935*c_0101_2*c_0101_6^13 - 1353475231/34036645*c_0101_2*c_0101_6^12 - 132994135/20421987*c_0101_2*c_0101_6^11 + 8959803127/102109935*c_0101_2*c_0101_6^10 + 15047546096/102109935*c_0101_2*c_0101_6^9 + 7022713936/20421987*c_0101_2*c_0101_6^8 - 35836999297/102109935*c_0101_2*c_0101_6^7 - 69012826124/102109935*c_0101_2*c_0101_6^6 - 20037548444/102109935*c_0101_2*c_0101_6^5 + 33797230363/102109935*c_0101_2*c_0101_6^4 + 40013520709/102109935*c_0101_2*c_0101_6^3 + 4556895397/102109935*c_0101_2*c_0101_6^2 + 1817211878/102109935*c_0101_2*c_0101_6 - 174355942/102109935*c_0101_2, c_0011_0 - 1, c_0011_4 + 3554647/6807329*c_0101_2*c_0101_6^13 + 14904412/6807329*c_0101_2*c_0101_6^12 + 3268903/6807329*c_0101_2*c_0101_6^11 - 27994545/6807329*c_0101_2*c_0101_6^10 - 46356533/6807329*c_0101_2*c_0101_6^9 - 124272369/6807329*c_0101_2*c_0101_6^8 + 120629810/6807329*c_0101_2*c_0101_6^7 + 205088173/6807329*c_0101_2*c_0101_6^6 + 25898786/6807329*c_0101_2*c_0101_6^5 - 114302060/6807329*c_0101_2*c_0101_6^4 - 82802756/6807329*c_0101_2*c_0101_6^3 + 24611390/6807329*c_0101_2*c_0101_6^2 - 6975069/6807329*c_0101_2*c_0101_6 - 3549648/6807329*c_0101_2, c_0011_6 - 206425/6807329*c_0101_2*c_0101_6^13 - 881129/6807329*c_0101_2*c_0101_6^12 - 1588343/6807329*c_0101_2*c_0101_6^11 - 5099562/6807329*c_0101_2*c_0101_6^10 - 4832863/6807329*c_0101_2*c_0101_6^9 + 7691920/6807329*c_0101_2*c_0101_6^8 + 7315211/6807329*c_0101_2*c_0101_6^7 + 47355404/6807329*c_0101_2*c_0101_6^6 + 11964677/6807329*c_0101_2*c_0101_6^5 - 26533143/6807329*c_0101_2*c_0101_6^4 - 30400823/6807329*c_0101_2*c_0101_6^3 - 15312931/6807329*c_0101_2*c_0101_6^2 + 1160380/6807329*c_0101_2*c_0101_6 - 6258879/6807329*c_0101_2, c_0101_0 - 3257681/6807329*c_0101_6^13 - 12733758/6807329*c_0101_6^12 + 1873688/6807329*c_0101_6^11 + 32588032/6807329*c_0101_6^10 + 46932118/6807329*c_0101_6^9 + 110012155/6807329*c_0101_6^8 - 153591498/6807329*c_0101_6^7 - 218169014/6807329*c_0101_6^6 - 39237902/6807329*c_0101_6^5 + 104083130/6807329*c_0101_6^4 + 120250972/6807329*c_0101_6^3 + 34473760/6807329*c_0101_6^2 + 31126752/6807329*c_0101_6 - 6975069/6807329, c_0101_1 + 2015966/6807329*c_0101_6^13 + 8325179/6807329*c_0101_6^12 + 2015242/6807329*c_0101_6^11 - 14456602/6807329*c_0101_6^10 - 31797226/6807329*c_0101_6^9 - 82576007/6807329*c_0101_6^8 + 65763912/6807329*c_0101_6^7 + 104303200/6807329*c_0101_6^6 + 94693745/6807329*c_0101_6^5 - 7038240/6807329*c_0101_6^4 - 92947127/6807329*c_0101_6^3 - 38731107/6807329*c_0101_6^2 - 33233562/6807329*c_0101_6 + 2526173/6807329, c_0101_2^2 - 1041616/6807329*c_0101_6^13 - 4396164/6807329*c_0101_6^12 - 1473805/6807329*c_0101_6^11 + 6638126/6807329*c_0101_6^10 + 13905905/6807329*c_0101_6^9 + 39501494/6807329*c_0101_6^8 - 31042805/6807329*c_0101_6^7 - 48001873/6807329*c_0101_6^6 - 25337940/6807329*c_0101_6^5 + 19657975/6807329*c_0101_6^4 + 33279597/6807329*c_0101_6^3 - 6841704/6807329*c_0101_6^2 + 2254301/6807329*c_0101_6 - 4488353/6807329, c_0101_6^14 + 5*c_0101_6^13 + 4*c_0101_6^12 - 9*c_0101_6^11 - 23*c_0101_6^10 - 48*c_0101_6^9 + 9*c_0101_6^8 + 104*c_0101_6^7 + 75*c_0101_6^6 - 24*c_0101_6^5 - 72*c_0101_6^4 - 36*c_0101_6^3 - 2*c_0101_6^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB