Magma V2.19-8 Tue Aug 20 2013 16:19:09 on localhost [Seed = 3600239533] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3288 geometric_solution 6.41416452 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 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 1 -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 0 0 0.580777794772 1.113272099407 0 5 5 6 0132 0132 3201 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.498133786763 0.500529201190 6 0 6 3 3201 0132 2310 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.740763041224 2.285309398656 5 4 2 0 3012 1302 2031 0132 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.631644548299 0.706087337937 4 4 0 3 1230 3012 0132 2031 0 0 0 0 0 -1 0 1 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 -1 1 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 0.927515260153 1.334631802931 1 1 6 3 2310 0132 1302 1230 0 0 0 0 0 0 0 0 1 0 0 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.001068777886 1.003734859860 5 2 1 2 2031 3201 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 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 0.465894692976 0.470736592065 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : 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' : negation(d['1']), 's_1_6' : 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_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' : negation(d['c_0011_0']), 'c_1100_5' : d['c_0101_0'], 'c_1100_4' : negation(d['c_1001_0']), 's_3_6' : negation(d['1']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : negation(d['c_1001_0']), 'c_1100_3' : negation(d['c_1001_0']), 'c_1100_2' : d['c_0011_6'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_6']), 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0011_6'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_4'], 'c_1001_2' : negation(d['c_0011_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0011_4'], 'c_0110_6' : negation(d['c_0101_2']), 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0011_4'])})} 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_3, c_0011_4, c_0011_6, c_0101_0, c_0101_2, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 99771514249319/8171938275840*c_1001_0^12 + 9571982450219/1634387655168*c_1001_0^11 - 34885530539581/544795885056*c_1001_0^10 - 425441223342593/8171938275840*c_1001_0^9 + 33700993751479/181598628352*c_1001_0^8 + 504272691772907/8171938275840*c_1001_0^7 - 563462231888663/2042984568960*c_1001_0^6 + 253951585764991/453996570880*c_1001_0^5 - 488710803887227/8171938275840*c_1001_0^4 - 2027831550493471/2042984568960*c_1001_0^3 + 189055961982013/240351125760*c_1001_0^2 - 15143457443845/1634387655168*c_1001_0 - 3037501169432329/8171938275840, c_0011_0 - 1, c_0011_3 + 396421691/938871585*c_1001_0^12 + 35979521/187774317*c_1001_0^11 - 140518633/62591439*c_1001_0^10 - 1632005987/938871585*c_1001_0^9 + 136904111/20863813*c_1001_0^8 + 1909430588/938871585*c_1001_0^7 - 9329210498/938871585*c_1001_0^6 + 2044822328/104319065*c_1001_0^5 - 2383273003/938871585*c_1001_0^4 - 32725266961/938871585*c_1001_0^3 + 27234552928/938871585*c_1001_0^2 - 196838332/187774317*c_1001_0 - 12395286511/938871585, c_0011_4 - 40769333/938871585*c_1001_0^12 - 5016074/187774317*c_1001_0^11 + 15055375/62591439*c_1001_0^10 + 173669426/938871585*c_1001_0^9 - 44634322/62591439*c_1001_0^8 - 230168774/938871585*c_1001_0^7 + 1192587539/938871585*c_1001_0^6 - 707344487/312957195*c_1001_0^5 - 199063976/938871585*c_1001_0^4 + 4157035903/938871585*c_1001_0^3 - 3448121539/938871585*c_1001_0^2 - 45977711/187774317*c_1001_0 + 1963217833/938871585, c_0011_6 + 1, c_0101_0 + 503608283/938871585*c_1001_0^12 + 50068232/187774317*c_1001_0^11 - 174636757/62591439*c_1001_0^10 - 2171109131/938871585*c_1001_0^9 + 167504253/20863813*c_1001_0^8 + 2594685479/938871585*c_1001_0^7 - 11122197179/938871585*c_1001_0^6 + 2555001334/104319065*c_1001_0^5 - 2484818839/938871585*c_1001_0^4 - 40127928373/938871585*c_1001_0^3 + 31529596744/938871585*c_1001_0^2 - 228831907/187774317*c_1001_0 - 13566592048/938871585, c_0101_2 - 63442159/938871585*c_1001_0^12 - 3542521/187774317*c_1001_0^11 + 23043992/62591439*c_1001_0^10 + 174723433/938871585*c_1001_0^9 - 69372625/62591439*c_1001_0^8 - 28590622/938871585*c_1001_0^7 + 1658927962/938871585*c_1001_0^6 - 1169896001/312957195*c_1001_0^5 + 909501287/938871585*c_1001_0^4 + 5553092954/938871585*c_1001_0^3 - 6231999902/938871585*c_1001_0^2 + 348519464/187774317*c_1001_0 + 2208634769/938871585, c_1001_0^13 + c_1001_0^12 - 5*c_1001_0^11 - 7*c_1001_0^10 + 13*c_1001_0^9 + 13*c_1001_0^8 - 20*c_1001_0^7 + 34*c_1001_0^6 + 19*c_1001_0^5 - 84*c_1001_0^4 + 22*c_1001_0^3 + 33*c_1001_0^2 - 31*c_1001_0 - 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB