Magma V2.19-8 Tue Aug 20 2013 16:18:24 on localhost [Seed = 3684321002] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2602 geometric_solution 5.88767996 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 1 0 0 0132 2310 1230 3012 0 0 0 0 0 0 1 -1 0 0 1 -1 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 1 0 -1 -1 0 1 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 1.767664575299 0.598113005756 0 2 3 0 0132 0132 0132 3201 0 0 0 0 0 0 -1 1 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 -1 1 1 0 -1 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 0.535954384168 0.640483737206 4 1 5 6 0132 0132 0132 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 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.149957323538 0.686487466289 5 6 4 1 1023 2310 2310 0132 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 -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 0.149957323538 0.686487466289 2 3 4 4 0132 3201 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.114087803836 1.551883890739 5 3 5 2 2310 1023 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.261991483942 1.817438789921 6 6 2 3 1302 2031 0132 3201 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 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 0 0 0 0 0 0 0 0 0 0 0 0.452988653102 0.394475349546 ==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' : negation(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' : negation(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' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : negation(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_3']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0101_2'], 's_3_6' : negation(d['1']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : negation(d['c_0011_6']), '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' : d['c_0011_3'], 'c_0011_4' : negation(d['c_0011_0']), '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' : d['c_0011_0'], 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : negation(d['c_0110_6']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0011_6']), 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0011_6']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0011_6'], 'c_1010_3' : negation(d['c_0110_6']), 'c_1010_2' : negation(d['c_0110_6']), '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 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 188533584788609251/9392120302878720*c_0110_6^14 - 1100550085350019415/25254367925518336*c_0110_6^12 + 1034892031933845441/25254367925518336*c_0110_6^10 - 10148753872320970055/113644655664832512*c_0110_6^8 - 10598878593309339101/1136446556648325120*c_0110_6^6 + 205152659211193339549/1136446556648325120*c_0110_6^4 - 5297737420152085759/1136446556648325120*c_0110_6^2 - 101722324587826190341/1136446556648325120, c_0011_0 - 1, c_0011_3 + 1894496488343/917199248328*c_0110_6^15 - 56961034899999/12331234338632*c_0110_6^13 + 53694828671073/12331234338632*c_0110_6^11 - 491902020176231/55490554523844*c_0110_6^9 - 88316496658465/110981109047688*c_0110_6^7 + 2218895019166577/110981109047688*c_0110_6^5 - 271515350080235/110981109047688*c_0110_6^3 - 1203795247923905/110981109047688*c_0110_6, c_0011_6 - 89176088701/305733082776*c_0110_6^15 + 18885206142637/36993703015896*c_0110_6^13 - 13936151006059/36993703015896*c_0110_6^11 + 6053662941899/6165617169316*c_0110_6^9 + 23966714986523/36993703015896*c_0110_6^7 - 34835146878249/12331234338632*c_0110_6^5 - 32269817799839/36993703015896*c_0110_6^3 + 20495140421945/12331234338632*c_0110_6, c_0101_0 + 368983919755/20845437462*c_0110_6^15 - 2917908614261/76433270694*c_0110_6^13 + 2711530503683/76433270694*c_0110_6^11 - 8885044048997/114649906041*c_0110_6^9 - 2337479830369/229299812082*c_0110_6^7 + 36990535484327/229299812082*c_0110_6^5 - 1214132305697/229299812082*c_0110_6^3 - 18517927911737/229299812082*c_0110_6, c_0101_1 + 20229637945/3474239577*c_0110_6^14 - 510005412646/38216635347*c_0110_6^12 + 486061517254/38216635347*c_0110_6^10 - 1022270854592/38216635347*c_0110_6^8 - 2045808244/38216635347*c_0110_6^6 + 2101462299274/38216635347*c_0110_6^4 - 166613882924/38216635347*c_0110_6^2 - 1096337981869/38216635347, c_0101_2 + 20849598251/114649906041*c_0110_6^14 - 358815093833/4624212876987*c_0110_6^12 + 515669911991/4624212876987*c_0110_6^10 - 2120078044450/13872638630961*c_0110_6^8 - 17241091328995/13872638630961*c_0110_6^6 + 9530959908392/13872638630961*c_0110_6^4 + 2717473483672/13872638630961*c_0110_6^2 - 13283867631752/13872638630961, c_0110_6^16 - 377/121*c_0110_6^14 + 45/11*c_0110_6^12 - 70/11*c_0110_6^10 + 449/121*c_0110_6^8 + 1151/121*c_0110_6^6 - 1077/121*c_0110_6^4 - 503/121*c_0110_6^2 + 512/121 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB