Magma V2.19-8 Wed Aug 21 2013 01:02:22 on localhost [Seed = 2581561941] Type ? for help. Type -D to quit. Loading file "L14n14461__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n14461 geometric_solution 12.20208259 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 0 1 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 -1 1 0 0 0 0 0 1 0 -1 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.898898316907 1.508591272628 0 5 7 6 0132 0132 0132 0132 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 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 0.079045559324 0.620447562473 6 0 9 8 3120 0132 0132 0132 0 0 0 1 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 -2 0 2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.051013292059 0.940118633169 8 10 4 0 0213 0132 1230 0132 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 -2 0 0 2 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.704699951562 0.840653677459 10 7 0 3 3201 3012 0132 3012 0 0 0 1 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 3 -1 -2 0 0 0 0 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.542197956180 0.356920176989 6 1 9 11 1302 0132 3120 0132 1 0 1 0 0 0 -1 1 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 0 0 0 0 -1 -8 9 2 0 1 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.752541854432 0.728965423204 8 5 1 2 3201 2031 0132 3120 1 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 1 -1 0 0 0 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.827799271815 1.069690619802 4 9 11 1 1230 3120 3201 0132 1 0 1 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 1 0 -1 0 0 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.208282132347 1.312679636112 3 12 2 6 0213 0132 0132 2310 0 0 0 0 0 0 0 0 1 0 0 -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 2 0 0 -2 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.404896792471 0.700738394914 11 7 5 2 1230 3120 3120 0132 0 0 1 1 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 1 0 -1 0 0 0 0 0 -8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.085856810246 0.741999596601 12 3 12 4 2103 0132 0132 2310 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 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 0.408600783475 0.689388538106 7 9 5 12 2310 3012 0132 1230 1 0 0 1 0 1 -1 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 8 -9 1 -3 0 3 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 0.565874588648 0.559290730593 11 8 10 10 3012 0132 2103 0132 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 -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 0 0 0 0.716839202662 0.835612757291 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_9']), 'c_1001_10' : d['c_1001_0'], 'c_1001_12' : d['c_0011_10'], 'c_1001_5' : negation(d['c_0101_11']), 'c_1001_4' : negation(d['c_0011_7']), 'c_1001_7' : negation(d['c_0101_11']), 'c_1001_6' : negation(d['c_0101_11']), 'c_1001_1' : negation(d['c_0011_9']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0110_4']), 'c_1001_2' : negation(d['c_0011_7']), 'c_1001_9' : d['c_0101_11'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_1001_0'], 'c_1010_11' : d['c_0101_10'], 'c_1010_10' : negation(d['c_0110_4']), 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_10'], 'c_1100_4' : d['c_0110_4'], 'c_1100_7' : negation(d['c_0011_11']), 'c_1100_6' : negation(d['c_0011_11']), 'c_1100_1' : negation(d['c_0011_11']), 'c_1100_0' : d['c_0110_4'], 'c_1100_3' : d['c_0110_4'], 'c_1100_2' : d['c_0011_6'], 's_0_10' : d['1'], 'c_1100_11' : d['c_0101_10'], 'c_1100_10' : d['c_0011_4'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_9']), 'c_1010_6' : d['c_0011_0'], 'c_1010_5' : negation(d['c_0011_9']), 'c_1010_4' : d['c_0011_12'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_11']), 'c_1010_0' : negation(d['c_0011_7']), 'c_1010_9' : negation(d['c_0011_7']), 'c_1010_8' : d['c_0011_10'], 'c_1100_8' : d['c_0011_6'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0011_4'], 's_1_7' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_12'], 'c_0110_10' : negation(d['c_0011_4']), 'c_0110_12' : d['c_0101_10'], 'c_0101_12' : d['c_0101_10'], 'c_0110_0' : d['c_0011_4'], 'c_0101_7' : negation(d['c_0011_12']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_6']), 'c_0101_4' : d['c_0011_4'], 'c_0101_3' : negation(d['c_0011_12']), 'c_0101_2' : d['c_0011_11'], 'c_0101_1' : d['c_0011_4'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_10']), 'c_0101_8' : negation(d['c_0011_10']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_11'], 'c_0110_8' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0011_6'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_10']), 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0011_4'], 'c_0110_6' : negation(d['c_0011_10'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_4, c_0011_6, c_0011_7, c_0011_9, c_0101_0, c_0101_10, c_0101_11, c_0110_4, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 423375520181/1646199558*c_1001_0^7 + 2990553946175/24144260184*c_1001_0^6 - 29787243945847/72432780552*c_1001_0^5 + 16482576811447/72432780552*c_1001_0^4 + 12896357833999/36216390276*c_1001_0^3 - 60671988982729/72432780552*c_1001_0^2 + 6964534739452/9054097569*c_1001_0 - 33897083617261/72432780552, c_0011_0 - 1, c_0011_10 - 217217/497943*c_1001_0^7 - 52396/497943*c_1001_0^6 - 311464/497943*c_1001_0^5 + 38716/165981*c_1001_0^4 + 25732/497943*c_1001_0^3 - 36140/55327*c_1001_0^2 - 799052/497943*c_1001_0 + 46697/165981, c_0011_11 + 13584439/46308699*c_1001_0^7 - 1671437/5145411*c_1001_0^6 + 17003284/46308699*c_1001_0^5 - 49982746/46308699*c_1001_0^4 - 2580593/46308699*c_1001_0^3 + 20553313/46308699*c_1001_0^2 + 5395978/46308699*c_1001_0 + 9438061/46308699, c_0011_12 - 814286/1493829*c_1001_0^7 - 296261/497943*c_1001_0^6 - 1806605/1493829*c_1001_0^5 - 350869/1493829*c_1001_0^4 + 1138771/1493829*c_1001_0^3 + 1187725/1493829*c_1001_0^2 - 414947/1493829*c_1001_0 - 312431/1493829, c_0011_4 + 20305615/46308699*c_1001_0^7 + 1034275/5145411*c_1001_0^6 + 28523476/46308699*c_1001_0^5 - 1092148/46308699*c_1001_0^4 - 25781762/46308699*c_1001_0^3 + 4628932/46308699*c_1001_0^2 - 2716988/46308699*c_1001_0 - 10509176/46308699, c_0011_6 + 49324/1493829*c_1001_0^7 - 391184/497943*c_1001_0^6 - 1102862/1493829*c_1001_0^5 - 2459179/1493829*c_1001_0^4 - 537500/1493829*c_1001_0^3 + 219223/1493829*c_1001_0^2 - 49100/1493829*c_1001_0 - 1602521/1493829, c_0011_7 + 22355663/46308699*c_1001_0^7 + 2175737/15436233*c_1001_0^6 + 46534133/46308699*c_1001_0^5 - 24846137/46308699*c_1001_0^4 - 14330986/46308699*c_1001_0^3 - 25670908/46308699*c_1001_0^2 + 9882509/46308699*c_1001_0 - 20498032/46308699, c_0011_9 + 97070644/1435569669*c_1001_0^7 - 147126052/478523223*c_1001_0^6 + 157084822/1435569669*c_1001_0^5 - 956973610/1435569669*c_1001_0^4 + 570874351/1435569669*c_1001_0^3 + 581605228/1435569669*c_1001_0^2 + 262865494/1435569669*c_1001_0 + 523129582/1435569669, c_0101_0 - 1, c_0101_10 + 5531515/15436233*c_1001_0^7 - 135091/5145411*c_1001_0^6 + 12520969/15436233*c_1001_0^5 + 1052651/15436233*c_1001_0^4 + 8244154/15436233*c_1001_0^3 + 11470858/15436233*c_1001_0^2 + 2884012/15436233*c_1001_0 - 3697895/15436233, c_0101_11 + 936133/5145411*c_1001_0^7 + 2984623/15436233*c_1001_0^6 + 7238636/15436233*c_1001_0^5 + 573725/15436233*c_1001_0^4 + 642049/5145411*c_1001_0^3 - 515246/15436233*c_1001_0^2 + 1755599/5145411*c_1001_0 + 9259792/15436233, c_0110_4 + 60896/497943*c_1001_0^7 + 220010/497943*c_1001_0^6 + 17203/55327*c_1001_0^5 + 129155/497943*c_1001_0^4 - 184021/497943*c_1001_0^3 - 167420/497943*c_1001_0^2 + 120020/497943*c_1001_0 - 2069/497943, c_1001_0^8 - 4/11*c_1001_0^7 + 23/11*c_1001_0^6 - 18/11*c_1001_0^5 + 6/11*c_1001_0^4 + 1/11*c_1001_0^3 + 4/11*c_1001_0^2 - 5/11*c_1001_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.790 Total time: 1.000 seconds, Total memory usage: 32.09MB