Magma V2.19-8 Tue Aug 20 2013 16:18:55 on localhost [Seed = 2118116104] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3087 geometric_solution 6.25441238 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 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 -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 -0.382948675259 1.021882044655 0 5 3 3 0132 0132 3012 2310 0 0 0 0 0 1 0 -1 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 -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 -0.083245955012 0.724320271404 5 0 4 6 0132 0132 3012 0132 0 0 0 0 0 0 1 -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 -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 0.195483064188 0.756754664172 1 1 5 0 3201 1230 0132 0132 0 0 0 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 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 -0.083245955012 0.724320271404 6 2 0 5 3201 1230 0132 0132 0 0 0 0 0 1 0 -1 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 0 -1 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 0.195483064188 0.756754664172 2 1 4 3 0132 0132 0132 0132 0 0 0 0 0 -1 1 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 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 0.351218056517 1.569234008262 6 6 2 4 1230 3012 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0.905388438234 1.080310904945 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : 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' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_4'], 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : d['c_1100_0'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_6']), 'c_0101_3' : negation(d['c_0101_0']), 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : negation(d['c_0011_6']), '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_0']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : negation(d['c_0011_6']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_6']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : negation(d['c_0101_0']), 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0011_6']), 'c_1010_2' : negation(d['c_0011_6']), 'c_1010_1' : negation(d['c_0101_0']), '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_5, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 3488525012/169139129*c_0101_5^13 + 18942874850/169139129*c_0101_5^12 + 34583589314/169139129*c_0101_5^11 - 54467383917/169139129*c_0101_5^10 - 272333271865/169139129*c_0101_5^9 - 229288368334/169139129*c_0101_5^8 + 278848221976/169139129*c_0101_5^7 + 500871525334/169139129*c_0101_5^6 + 33106774810/169139129*c_0101_5^5 - 229471988800/169139129*c_0101_5^4 - 51544793171/169139129*c_0101_5^3 + 4869497338/169139129*c_0101_5^2 - 30432990354/169139129*c_0101_5 - 6888290550/169139129, c_0011_0 - 1, c_0011_3 - 176593348/169139129*c_0101_5^13 - 978311686/169139129*c_0101_5^12 - 1863009965/169139129*c_0101_5^11 + 2540186879/169139129*c_0101_5^10 + 14078758382/169139129*c_0101_5^9 + 13298827247/169139129*c_0101_5^8 - 12602868228/169139129*c_0101_5^7 - 27254608223/169139129*c_0101_5^6 - 5040528048/169139129*c_0101_5^5 + 11974530118/169139129*c_0101_5^4 + 4770291591/169139129*c_0101_5^3 - 436789540/169139129*c_0101_5^2 + 906786746/169139129*c_0101_5 + 581517312/169139129, c_0011_4 - 191799818/169139129*c_0101_5^13 - 1011908124/169139129*c_0101_5^12 - 1763529328/169139129*c_0101_5^11 + 3176992188/169139129*c_0101_5^10 + 14350158776/169139129*c_0101_5^9 + 10748330188/169139129*c_0101_5^8 - 15754662182/169139129*c_0101_5^7 - 24594792453/169139129*c_0101_5^6 + 275579779/169139129*c_0101_5^5 + 11042844320/169139129*c_0101_5^4 + 1770942547/169139129*c_0101_5^3 - 66846197/169139129*c_0101_5^2 + 1471854658/169139129*c_0101_5 + 379511246/169139129, c_0011_6 + 6876817/169139129*c_0101_5^13 + 27787542/169139129*c_0101_5^12 + 3239547/169139129*c_0101_5^11 - 270949220/169139129*c_0101_5^10 - 521849920/169139129*c_0101_5^9 + 438514437/169139129*c_0101_5^8 + 2021139658/169139129*c_0101_5^7 + 1133383516/169139129*c_0101_5^6 - 1499153584/169139129*c_0101_5^5 - 1356362042/169139129*c_0101_5^4 + 138274159/169139129*c_0101_5^3 - 56768485/169139129*c_0101_5^2 - 87028055/169139129*c_0101_5 + 107255484/169139129, c_0101_0 - 153162428/169139129*c_0101_5^13 - 825597991/169139129*c_0101_5^12 - 1475340933/169139129*c_0101_5^11 + 2499190346/169139129*c_0101_5^10 + 11937456908/169139129*c_0101_5^9 + 9432769076/169139129*c_0101_5^8 - 13216207737/169139129*c_0101_5^7 - 21851919846/169139129*c_0101_5^6 - 123311244/169139129*c_0101_5^5 + 10584008137/169139129*c_0101_5^4 + 1615633882/169139129*c_0101_5^3 - 450775160/169139129*c_0101_5^2 + 1434313857/169139129*c_0101_5 + 402757501/169139129, c_0101_5^14 + 6*c_0101_5^13 + 13*c_0101_5^12 - 10*c_0101_5^11 - 87*c_0101_5^10 - 110*c_0101_5^9 + 43*c_0101_5^8 + 189*c_0101_5^7 + 90*c_0101_5^6 - 61*c_0101_5^5 - 51*c_0101_5^4 - 6*c_0101_5^3 - 8*c_0101_5^2 - 7*c_0101_5 - 1, c_1100_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB