Magma V2.19-8 Tue Aug 20 2013 16:17:28 on localhost [Seed = 3903419437] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1694 geometric_solution 5.41083564 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 1 2 0 3012 0132 0132 1230 0 0 0 0 0 0 -1 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 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 0.475118171386 0.646295285197 3 0 4 2 0132 0132 0132 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.475118171386 0.646295285197 4 1 3 0 2310 1302 2310 0132 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 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 0.475118171386 0.646295285197 1 2 5 5 0132 3201 0132 2310 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 0.800416146219 2.185110884819 4 4 2 1 1230 3012 3201 0132 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.261590890189 1.004445535780 3 6 6 3 3201 0132 3201 0132 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.173324030957 0.202342774073 5 5 6 6 2310 0132 2031 1302 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 5.297198228147 2.930511207796 ==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_0101_6'], 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_2']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : negation(d['c_0101_0']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0011_4'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_5']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0011_2'], 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : d['c_0101_3'], 'c_0110_1' : d['c_0101_3'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0011_4'], 'c_0110_6' : d['c_0011_4'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : d['c_0011_2'], 'c_1010_1' : d['c_0011_2'], 'c_1010_0' : 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_2, c_0011_4, c_0011_5, c_0101_0, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 346150108135322/29823325710515*c_0101_6^15 - 3017187444222977/29823325710515*c_0101_6^14 - 4134803040402683/29823325710515*c_0101_6^13 + 13721777372614248/29823325710515*c_0101_6^12 + 8770946408430919/5964665142103*c_0101_6^11 - 16527236263390623/29823325710515*c_0101_6^10 - 126014392514276652/29823325710515*c_0101_6^9 + 13358943398038593/29823325710515*c_0101_6^8 + 155727460944064751/29823325710515*c_0101_6^7 - 28605513573282327/29823325710515*c_0101_6^6 - 89039700463575219/29823325710515*c_0101_6^5 + 27924001963646578/29823325710515*c_0101_6^4 + 20311262923351173/29823325710515*c_0101_6^3 - 1916900138686396/5964665142103*c_0101_6^2 - 1213114901642813/29823325710515*c_0101_6 + 1425354393476474/29823325710515, c_0011_0 - 1, c_0011_2 + 205181431165/5964665142103*c_0101_6^15 + 2129479725651/5964665142103*c_0101_6^14 + 4003923785803/5964665142103*c_0101_6^13 - 15742540334517/5964665142103*c_0101_6^12 - 51375121216971/5964665142103*c_0101_6^11 + 23740100847229/5964665142103*c_0101_6^10 + 237905451486441/5964665142103*c_0101_6^9 + 1471407047244/5964665142103*c_0101_6^8 - 501479620076598/5964665142103*c_0101_6^7 + 66078166827581/5964665142103*c_0101_6^6 + 440919079764572/5964665142103*c_0101_6^5 - 158718782312435/5964665142103*c_0101_6^4 - 126795506455572/5964665142103*c_0101_6^3 + 68983182933373/5964665142103*c_0101_6^2 + 9346259642658/5964665142103*c_0101_6 - 1983389174557/5964665142103, c_0011_4 - 205181431165/5964665142103*c_0101_6^15 - 2129479725651/5964665142103*c_0101_6^14 - 4003923785803/5964665142103*c_0101_6^13 + 15742540334517/5964665142103*c_0101_6^12 + 51375121216971/5964665142103*c_0101_6^11 - 23740100847229/5964665142103*c_0101_6^10 - 237905451486441/5964665142103*c_0101_6^9 - 1471407047244/5964665142103*c_0101_6^8 + 501479620076598/5964665142103*c_0101_6^7 - 66078166827581/5964665142103*c_0101_6^6 - 440919079764572/5964665142103*c_0101_6^5 + 158718782312435/5964665142103*c_0101_6^4 + 126795506455572/5964665142103*c_0101_6^3 - 68983182933373/5964665142103*c_0101_6^2 - 9346259642658/5964665142103*c_0101_6 + 7948054316660/5964665142103, c_0011_5 - 2589558341056/5964665142103*c_0101_6^15 - 21775627665747/5964665142103*c_0101_6^14 - 25032252279991/5964665142103*c_0101_6^13 + 104112308450531/5964665142103*c_0101_6^12 + 292074050800347/5964665142103*c_0101_6^11 - 177231601661276/5964665142103*c_0101_6^10 - 815494136532605/5964665142103*c_0101_6^9 + 247597748581445/5964665142103*c_0101_6^8 + 863003029565928/5964665142103*c_0101_6^7 - 279164348788589/5964665142103*c_0101_6^6 - 343221122911331/5964665142103*c_0101_6^5 + 130132172852671/5964665142103*c_0101_6^4 + 36951510669107/5964665142103*c_0101_6^3 - 29035619536282/5964665142103*c_0101_6^2 + 10167043248177/5964665142103*c_0101_6 + 2864363976209/5964665142103, c_0101_0 - 250768843214/5964665142103*c_0101_6^15 + 113514666764/5964665142103*c_0101_6^14 + 15650448244787/5964665142103*c_0101_6^13 + 26872631390202/5964665142103*c_0101_6^12 - 63185245150542/5964665142103*c_0101_6^11 - 239207085780468/5964665142103*c_0101_6^10 + 123144042935727/5964665142103*c_0101_6^9 + 630402997283070/5964665142103*c_0101_6^8 - 288856017940724/5964665142103*c_0101_6^7 - 565791411515423/5964665142103*c_0101_6^6 + 376692883508160/5964665142103*c_0101_6^5 + 105518911474432/5964665142103*c_0101_6^4 - 161949773819557/5964665142103*c_0101_6^3 + 37895516898346/5964665142103*c_0101_6^2 + 23297023539330/5964665142103*c_0101_6 - 11059891199779/5964665142103, c_0101_3 + 3115132819423/5964665142103*c_0101_6^15 + 25390955483964/5964665142103*c_0101_6^14 + 23311363278214/5964665142103*c_0101_6^13 - 133601122015825/5964665142103*c_0101_6^12 - 321634732968471/5964665142103*c_0101_6^11 + 302314168030037/5964665142103*c_0101_6^10 + 939176027374130/5964665142103*c_0101_6^9 - 522406762874088/5964665142103*c_0101_6^8 - 978455306171125/5964665142103*c_0101_6^7 + 533453935050105/5964665142103*c_0101_6^6 + 329261697735570/5964665142103*c_0101_6^5 - 206274204875496/5964665142103*c_0101_6^4 - 2554766747622/5964665142103*c_0101_6^3 + 31134439552280/5964665142103*c_0101_6^2 - 11447587860302/5964665142103*c_0101_6 - 4599942811131/5964665142103, c_0101_6^16 + 8*c_0101_6^15 + 6*c_0101_6^14 - 46*c_0101_6^13 - 98*c_0101_6^12 + 124*c_0101_6^11 + 309*c_0101_6^10 - 247*c_0101_6^9 - 356*c_0101_6^8 + 290*c_0101_6^7 + 149*c_0101_6^6 - 155*c_0101_6^5 - 12*c_0101_6^4 + 37*c_0101_6^3 - 6*c_0101_6^2 - 4*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB