Magma V2.19-8 Tue Aug 20 2013 16:15:48 on localhost [Seed = 37985833] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0022 geometric_solution 3.58459982 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 2 0132 0132 2310 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -5.630956344650 4.160676748603 0 0 3 3 0132 3201 3201 0132 0 0 0 0 0 1 0 -1 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 0 0 0.145503709247 0.166976916681 0 0 4 4 3201 0132 3201 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.084153056901 0.037449411109 1 5 1 6 2310 0132 0132 0132 0 0 0 0 0 -1 1 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.926598204356 1.972741656388 2 4 2 4 2310 1302 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -10.844785524659 4.441776546637 6 3 6 6 3201 0132 3012 2310 0 0 0 0 0 1 0 -1 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 -1 1 -1 0 1 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 -0.011807429103 0.974860235082 5 5 3 5 3201 1230 0132 2310 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 -1 0 0 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 -0.011807429103 0.974860235082 ==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' : negation(d['c_0011_3']), 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : negation(d['c_0101_1']), 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], '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_3']), '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_0011_6']), 'c_1001_4' : d['c_0101_1'], 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_1']), 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : negation(d['c_0011_6']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0101_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_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 831584359870/455554881*c_0101_4^11 - 924038861971/151851627*c_0101_4^10 + 2326290786316/455554881*c_0101_4^9 - 3403763996416/455554881*c_0101_4^8 - 14886114167866/455554881*c_0101_4^7 + 13029949317196/455554881*c_0101_4^6 + 21974594075834/455554881*c_0101_4^5 - 295082289342/16872403*c_0101_4^4 - 3667562886796/151851627*c_0101_4^3 - 150024339128/151851627*c_0101_4^2 + 2126874183356/455554881*c_0101_4 + 666729774139/455554881, c_0011_0 - 1, c_0011_3 - 333119395/16872403*c_0101_4^11 - 1101175073/16872403*c_0101_4^10 + 938090241/16872403*c_0101_4^9 - 1474090736/16872403*c_0101_4^8 - 5876656128/16872403*c_0101_4^7 + 5244324546/16872403*c_0101_4^6 + 8230492990/16872403*c_0101_4^5 - 3185185298/16872403*c_0101_4^4 - 3845118665/16872403*c_0101_4^3 - 133566364/16872403*c_0101_4^2 + 711666038/16872403*c_0101_4 + 223352151/16872403, c_0011_4 + 412045105/16872403*c_0101_4^11 + 1349426997/16872403*c_0101_4^10 - 1203140471/16872403*c_0101_4^9 + 1848061289/16872403*c_0101_4^8 + 7194971299/16872403*c_0101_4^7 - 6681382572/16872403*c_0101_4^6 - 10054626773/16872403*c_0101_4^5 + 4171163697/16872403*c_0101_4^4 + 4829940660/16872403*c_0101_4^3 + 82373134/16872403*c_0101_4^2 - 972233673/16872403*c_0101_4 - 265652792/16872403, c_0011_6 + 39791520/16872403*c_0101_4^11 + 122898998/16872403*c_0101_4^10 - 145244751/16872403*c_0101_4^9 + 180376435/16872403*c_0101_4^8 + 658231807/16872403*c_0101_4^7 - 794825414/16872403*c_0101_4^6 - 938864943/16872403*c_0101_4^5 + 563992684/16872403*c_0101_4^4 + 527994607/16872403*c_0101_4^3 + 34241036/16872403*c_0101_4^2 - 137940716/16872403*c_0101_4 - 58269370/16872403, c_0101_0 + 470875325/16872403*c_0101_4^11 + 1542145885/16872403*c_0101_4^10 - 1381649888/16872403*c_0101_4^9 + 2092986804/16872403*c_0101_4^8 + 8251965709/16872403*c_0101_4^7 - 7684688971/16872403*c_0101_4^6 - 11578485952/16872403*c_0101_4^5 + 4919208562/16872403*c_0101_4^4 + 5583789672/16872403*c_0101_4^3 + 27012345/16872403*c_0101_4^2 - 1125030308/16872403*c_0101_4 - 313008218/16872403, c_0101_1 - 1650090/16872403*c_0101_4^11 - 36715896/16872403*c_0101_4^10 - 104984935/16872403*c_0101_4^9 + 51896124/16872403*c_0101_4^8 - 189231833/16872403*c_0101_4^7 - 574068912/16872403*c_0101_4^6 + 408153379/16872403*c_0101_4^5 + 619811110/16872403*c_0101_4^4 - 228535373/16872403*c_0101_4^3 - 137492760/16872403*c_0101_4^2 + 5013778/16872403*c_0101_4 + 14237821/16872403, c_0101_4^12 + 12/5*c_0101_4^11 - 29/5*c_0101_4^10 + 7*c_0101_4^9 + 68/5*c_0101_4^8 - 158/5*c_0101_4^7 - 52/5*c_0101_4^6 + 159/5*c_0101_4^5 + 3*c_0101_4^4 - 51/5*c_0101_4^3 - 13/5*c_0101_4^2 + 7/5*c_0101_4 + 3/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB