Magma V2.19-8 Tue Aug 20 2013 16:18:04 on localhost [Seed = 2446331225] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2290 geometric_solution 5.69905559 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 -1 1 0 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 1 -1 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 0.149564479179 0.867923778999 0 3 5 2 0132 3012 0132 1230 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.575968126911 0.587812269187 1 0 6 6 3012 0132 2310 0132 0 0 0 0 0 1 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.007787028472 0.963110190438 1 4 5 0 1230 3120 0321 0132 0 0 0 0 0 1 0 -1 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 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 -0.768790038594 0.531134710611 5 3 0 5 0213 3120 0132 0321 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 1 0 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 0.807178088317 1.118946979797 4 4 3 1 0213 0321 0321 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 -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 0.575968126911 0.587812269187 6 2 2 6 3201 3201 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 -0.717591256228 0.723416646874 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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' : 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' : d['c_0011_6'], 'c_1100_5' : d['c_0101_6'], 'c_1100_4' : d['c_1001_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_6'], 'c_1100_0' : d['c_1001_5'], 'c_1100_3' : d['c_1001_5'], 'c_1100_2' : d['c_0011_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0011_5'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_5'], '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' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0101_6']), 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : negation(d['c_0011_4']), 'c_1001_3' : d['c_0101_6'], 'c_1001_2' : negation(d['c_0101_6']), 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0011_5'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : negation(d['c_0011_5']), 'c_0110_6' : negation(d['c_0101_6']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0011_4']), 'c_1010_1' : d['c_0011_4'], 'c_1010_0' : negation(d['c_0101_6'])})} 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_5, c_0011_6, c_0101_6, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 5527632706052/11972679709*c_1001_5^11 + 75372550532806/11972679709*c_1001_5^10 - 353973366055467/11972679709*c_1001_5^9 + 684030052320533/11972679709*c_1001_5^8 - 781105924747104/11972679709*c_1001_5^7 + 1472277602391718/11972679709*c_1001_5^6 - 78361433397734/704275277*c_1001_5^5 + 779517318274488/11972679709*c_1001_5^4 - 583083611020036/11972679709*c_1001_5^3 + 104072825625813/11972679709*c_1001_5^2 + 21993274721408/11972679709*c_1001_5 + 14945982085109/11972679709, c_0011_0 - 1, c_0011_3 - c_1001_5, c_0011_4 + 336840981/704275277*c_1001_5^11 - 4494399073/704275277*c_1001_5^10 + 20249660663/704275277*c_1001_5^9 - 35669612415/704275277*c_1001_5^8 + 36595054839/704275277*c_1001_5^7 - 77364762335/704275277*c_1001_5^6 + 56398158156/704275277*c_1001_5^5 - 28655230743/704275277*c_1001_5^4 + 22633293526/704275277*c_1001_5^3 + 2131008305/704275277*c_1001_5^2 - 1814396521/704275277*c_1001_5 - 801946825/704275277, c_0011_5 - 67506/1068703*c_1001_5^11 + 999065/1068703*c_1001_5^10 - 5358486/1068703*c_1001_5^9 + 12918353/1068703*c_1001_5^8 - 17264685/1068703*c_1001_5^7 + 26035599/1068703*c_1001_5^6 - 34744922/1068703*c_1001_5^5 + 21850546/1068703*c_1001_5^4 - 15077690/1068703*c_1001_5^3 + 8084239/1068703*c_1001_5^2 - 171108/1068703*c_1001_5 + 144680/1068703, c_0011_6 - 64753964/704275277*c_1001_5^11 + 870191381/704275277*c_1001_5^10 - 3942855592/704275277*c_1001_5^9 + 6811598210/704275277*c_1001_5^8 - 5933528395/704275277*c_1001_5^7 + 12831903670/704275277*c_1001_5^6 - 9430662463/704275277*c_1001_5^5 - 661039338/704275277*c_1001_5^4 - 1743938953/704275277*c_1001_5^3 - 3280287417/704275277*c_1001_5^2 + 1956879831/704275277*c_1001_5 + 21244059/704275277, c_0101_6 + 206729014/704275277*c_1001_5^11 - 2803711870/704275277*c_1001_5^10 + 13039667549/704275277*c_1001_5^9 - 24728324011/704275277*c_1001_5^8 + 27938289197/704275277*c_1001_5^7 - 54242491574/704275277*c_1001_5^6 + 47309545970/704275277*c_1001_5^5 - 28014083367/704275277*c_1001_5^4 + 22925315827/704275277*c_1001_5^3 - 3588498283/704275277*c_1001_5^2 + 780237924/704275277*c_1001_5 - 598942983/704275277, c_1001_5^12 - 14*c_1001_5^11 + 69*c_1001_5^10 - 147*c_1001_5^9 + 186*c_1001_5^8 - 317*c_1001_5^7 + 337*c_1001_5^6 - 227*c_1001_5^5 + 155*c_1001_5^4 - 56*c_1001_5^3 + 2*c_1001_5^2 - c_1001_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB