Magma V2.19-8 Tue Aug 20 2013 16:18:11 on localhost [Seed = 2463305640] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2407 geometric_solution 5.76456185 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 -1 0 1 0 0 -1 1 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 0.306571795511 0.181733162791 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 0 0 -1 0 0 1 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 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 0.279728088500 1.249087814642 1 4 5 6 0132 0132 0132 0132 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 0 0 0 0.665946760472 0.470697122523 6 5 4 1 1023 0132 0132 0132 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 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 0.665946760472 0.470697122523 4 2 4 3 2310 0132 3201 0132 0 0 0 0 0 0 0 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 0 0 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 0.987063525424 1.265218014406 5 3 5 2 2031 0132 1302 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 1.002524008608 0.395905133137 6 3 2 6 3012 1023 0132 1230 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 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 0.704168649630 0.509811319602 ==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' : 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' : 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_3'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : negation(d['c_0101_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : d['c_0011_3'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0011_3'], 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : d['c_1001_2'], 'c_1010_4' : d['c_1001_2'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0011_0']), '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_1, c_0011_3, c_0101_0, c_0101_1, c_0101_3, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 504134535390825824/125812246210185519441*c_1001_2^13 - 2256003992862338216/125812246210185519441*c_1001_2^11 + 16332235564344100568/125812246210185519441*c_1001_2^9 + 27931685287873064954/13979138467798391049*c_1001_2^7 + 184151616473211387265/41937415403395173147*c_1001_2^5 - 138211321272395098634/125812246210185519441*c_1001_2^3 - 64201555172300652403/9319425645198927366*c_1001_2, c_0011_0 - 1, c_0011_1 - 274094028667712/172581956392572729*c_1001_2^12 - 843137971735472/172581956392572729*c_1001_2^10 + 10118187834505040/172581956392572729*c_1001_2^8 + 13553574335574092/19175772932508081*c_1001_2^6 + 41403792911736490/57527318797524243*c_1001_2^4 - 246441178874787050/172581956392572729*c_1001_2^2 - 4880769255229395/6391924310836027, c_0011_3 + 6451548850343296/4659712822599463683*c_1001_2^13 + 30097909865761888/4659712822599463683*c_1001_2^11 - 213105267858696112/4659712822599463683*c_1001_2^9 - 366619076217200872/517745869177718187*c_1001_2^7 - 2469702663613699928/1553237607533154561*c_1001_2^5 + 5177080992710192374/4659712822599463683*c_1001_2^3 + 284541056151198610/57527318797524243*c_1001_2, c_0101_0 - 168899504476352/172581956392572729*c_1001_2^12 - 504917970000752/172581956392572729*c_1001_2^10 + 5948728821175424/172581956392572729*c_1001_2^8 + 8366011893528548/19175772932508081*c_1001_2^6 + 27587297981842222/57527318797524243*c_1001_2^4 - 109433912038088000/172581956392572729*c_1001_2^2 - 8438313843915743/6391924310836027, c_0101_1 + 467719755364160/172581956392572729*c_1001_2^12 + 1138214169569696/172581956392572729*c_1001_2^10 - 17563410582495776/172581956392572729*c_1001_2^8 - 21966587296619000/19175772932508081*c_1001_2^6 - 37213461899240572/57527318797524243*c_1001_2^4 + 395832116534514524/172581956392572729*c_1001_2^2 + 5698013970631900/6391924310836027, c_0101_3 - 498639218156416/517745869177718187*c_1001_2^13 - 2338329367622272/517745869177718187*c_1001_2^11 + 17130059008668640/517745869177718187*c_1001_2^9 + 28396067398369096/57527318797524243*c_1001_2^7 + 183046474364074856/172581956392572729*c_1001_2^5 - 669985626445470334/517745869177718187*c_1001_2^3 - 45040576983537178/19175772932508081*c_1001_2, c_1001_2^14 + 4*c_1001_2^12 - 139/4*c_1001_2^10 - 3879/8*c_1001_2^8 - 3417/4*c_1001_2^6 + 14821/16*c_1001_2^4 + 8505/4*c_1001_2^2 - 6561/32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB