Magma V2.19-8 Tue Aug 20 2013 16:14:55 on localhost [Seed = 3120047580] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s892 geometric_solution 5.62537825 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 1 1 2 2 0132 2310 0132 2310 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 1 0 -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 1.068465773174 1.055927691957 0 3 3 0 0132 0132 1023 3201 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 -1 0 1 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 0.424593475872 0.643631714823 0 4 4 0 3201 0132 1023 0132 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 0.439481606701 5 1 1 5 0132 0132 1023 3201 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 1 0 -1 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 0.500000000000 1.001829735270 5 2 2 5 2031 0132 1023 0213 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.061148124921 0.943069732837 3 3 4 4 0132 2310 1302 0213 0 0 0 0 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 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 0.228009543211 0.863524344433 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : negation(d['1']), 's_3_4' : negation(d['1']), 's_3_0' : 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_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_5' : d['c_0101_4'], 'c_1100_4' : negation(d['c_0011_2']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_2'], 'c_0101_5' : d['c_0011_2'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_0']), 'c_0011_4' : negation(d['c_0011_2']), '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' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_2'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0101_3']), 'c_1010_5' : negation(d['c_0011_2']), 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0101_0, c_0101_1, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 103092508514149/27053086712037*c_0101_4^13 + 826062481930644/45088477853395*c_0101_4^12 + 3789998564136512/45088477853395*c_0101_4^11 + 31408554976272481/135265433560185*c_0101_4^10 + 68564245986259186/135265433560185*c_0101_4^9 + 24356584300870214/27053086712037*c_0101_4^8 + 171534151910140793/135265433560185*c_0101_4^7 + 198140743600036651/135265433560185*c_0101_4^6 + 12507758675587496/9017695570679*c_0101_4^5 + 47400173147838092/45088477853395*c_0101_4^4 + 78295876486178839/135265433560185*c_0101_4^3 + 26517618080436103/135265433560185*c_0101_4^2 + 2361909604268092/135265433560185*c_0101_4 - 402747106049202/45088477853395, c_0011_0 - 1, c_0011_2 - 2023102811900/27053086712037*c_0101_4^13 - 4742064328330/27053086712037*c_0101_4^12 - 23357118633334/27053086712037*c_0101_4^11 - 9894975750009/9017695570679*c_0101_4^10 - 34762205756513/27053086712037*c_0101_4^9 - 28468010634038/27053086712037*c_0101_4^8 + 19359959776844/9017695570679*c_0101_4^7 + 82091552923535/27053086712037*c_0101_4^6 + 24544895440422/9017695570679*c_0101_4^5 + 22245520110298/9017695570679*c_0101_4^4 - 3736760513633/27053086712037*c_0101_4^3 - 80134038597758/27053086712037*c_0101_4^2 - 74347472182015/27053086712037*c_0101_4 - 20639745649289/27053086712037, c_0101_0 + 12010974093950/27053086712037*c_0101_4^13 + 16069285016620/9017695570679*c_0101_4^12 + 225113924988029/27053086712037*c_0101_4^11 + 548776980264826/27053086712037*c_0101_4^10 + 380345113860701/9017695570679*c_0101_4^9 + 631656221496238/9017695570679*c_0101_4^8 + 2431223469824956/27053086712037*c_0101_4^7 + 864030294822787/9017695570679*c_0101_4^6 + 748193186248494/9017695570679*c_0101_4^5 + 1441882910658479/27053086712037*c_0101_4^4 + 196124055174449/9017695570679*c_0101_4^3 + 72861656321140/27053086712037*c_0101_4^2 - 87075457783232/27053086712037*c_0101_4 - 29224033920106/27053086712037, c_0101_1 + 26174404692830/27053086712037*c_0101_4^13 + 109063599773668/27053086712037*c_0101_4^12 + 517203676650917/27053086712037*c_0101_4^11 + 433410729559214/9017695570679*c_0101_4^10 + 943022746060404/9017695570679*c_0101_4^9 + 1597490304803694/9017695570679*c_0101_4^8 + 6569287056513838/27053086712037*c_0101_4^7 + 7356281928930728/27053086712037*c_0101_4^6 + 2285720277552728/9017695570679*c_0101_4^5 + 5043366766980202/27053086712037*c_0101_4^4 + 920162403893712/9017695570679*c_0101_4^3 + 985855696366790/27053086712037*c_0101_4^2 + 190228025349016/27053086712037*c_0101_4 + 692379888409/9017695570679, c_0101_3 + 17063039896940/27053086712037*c_0101_4^13 + 78400768989769/27053086712037*c_0101_4^12 + 364674373994678/27053086712037*c_0101_4^11 + 976850163975692/27053086712037*c_0101_4^10 + 2144818822943944/27053086712037*c_0101_4^9 + 3733935205205329/27053086712037*c_0101_4^8 + 5275896483760664/27053086712037*c_0101_4^7 + 2000085594157261/9017695570679*c_0101_4^6 + 5717507182693342/27053086712037*c_0101_4^5 + 1439158562616059/9017695570679*c_0101_4^4 + 802545971893733/9017695570679*c_0101_4^3 + 866846250079237/27053086712037*c_0101_4^2 + 174904482839759/27053086712037*c_0101_4 + 4755815138654/27053086712037, c_0101_4^14 + 23/5*c_0101_4^13 + 107/5*c_0101_4^12 + 288/5*c_0101_4^11 + 633/5*c_0101_4^10 + 1114/5*c_0101_4^9 + 1577/5*c_0101_4^8 + 1826/5*c_0101_4^7 + 1759/5*c_0101_4^6 + 1359/5*c_0101_4^5 + 158*c_0101_4^4 + 313/5*c_0101_4^3 + 14*c_0101_4^2 + 4/5*c_0101_4 + 1/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB