Magma V2.19-8 Tue Aug 20 2013 16:14:43 on localhost [Seed = 2614757255] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s696 geometric_solution 5.20131299 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 1 -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 -2 1 1 0 0 -1 1 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.494261553881 0.273601961848 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 -1 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 0 1 -1 0 0 -1 1 -1 -1 0 2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.957069620755 0.583674566228 1 4 4 5 0132 0132 3201 0132 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 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.734883979441 0.591210145798 5 4 4 1 3201 2310 1023 0132 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 -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 0.734883979441 0.591210145798 2 2 3 3 2310 0132 1023 3201 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.173901439020 0.664591778218 5 5 2 3 1230 3012 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.575204082146 0.791144557130 ==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' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(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_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_5' : negation(d['c_0011_1']), 'c_1100_4' : d['c_0011_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' : negation(d['c_0011_1']), 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_5']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : negation(d['c_0101_4']), '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_0011_5'], 'c_0110_4' : negation(d['c_0101_0']), 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0011_5']), '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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_5, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t + 291778867863863/235248548497632*c_0101_4^16 + 726990375065137/78416182832544*c_0101_4^15 + 3082092580099691/235248548497632*c_0101_4^14 - 677565558091567/26138727610848*c_0101_4^13 + 987766337750221/29406068562204*c_0101_4^12 + 27642319805907515/117624274248816*c_0101_4^11 - 44496864007914827/117624274248816*c_0101_4^10 - 147988128364189975/235248548497632*c_0101_4^9 + 239328485113180951/117624274248816*c_0101_4^8 + 9651978590800853/78416182832544*c_0101_4^7 - 185497647687957127/39208091416272*c_0101_4^6 + 557817242864068165/235248548497632*c_0101_4^5 + 677238837008687131/235248548497632*c_0101_4^4 - 442177622223981377/117624274248816*c_0101_4^3 + 7928240523650333/29406068562204*c_0101_4^2 + 38109188816275165/29406068562204*c_0101_4 - 8662404230382481/14703034281102, c_0011_0 - 1, c_0011_1 + 4159253015/2550119766912*c_0101_4^16 + 18954628037/2550119766912*c_0101_4^15 - 5258588609/850039922304*c_0101_4^14 - 31018412509/1275059883456*c_0101_4^13 + 312751104955/2550119766912*c_0101_4^12 - 9122993525/2550119766912*c_0101_4^11 - 5189993053/8854582524*c_0101_4^10 + 20428542445/23612220064*c_0101_4^9 + 89354362197/94448880256*c_0101_4^8 - 8041745223017/2550119766912*c_0101_4^7 + 869295606185/637529941728*c_0101_4^6 + 1658593098803/637529941728*c_0101_4^5 - 1136729758411/318764970864*c_0101_4^4 + 19694982527/17709165048*c_0101_4^3 + 71854732771/79691242716*c_0101_4^2 - 51350451469/39845621358*c_0101_4 - 659191300/19922810679, c_0011_5 + 19811171995/3825179650368*c_0101_4^16 + 8119348111/318764970864*c_0101_4^15 - 30379682335/1912589825184*c_0101_4^14 - 139858893131/1275059883456*c_0101_4^13 + 1358609106757/3825179650368*c_0101_4^12 + 343291505791/1912589825184*c_0101_4^11 - 8270291111297/3825179650368*c_0101_4^10 + 1765217088007/956294912592*c_0101_4^9 + 20302780612399/3825179650368*c_0101_4^8 - 6371051122055/637529941728*c_0101_4^7 - 3315319304291/1275059883456*c_0101_4^6 + 886651086314/59768432037*c_0101_4^5 - 6021645617149/956294912592*c_0101_4^4 - 1448480554187/239073728148*c_0101_4^3 + 682793598511/119536864074*c_0101_4^2 - 23739549278/59768432037*c_0101_4 - 37946817434/59768432037, c_0101_0 - 15378583201/1275059883456*c_0101_4^16 - 29190141713/318764970864*c_0101_4^15 - 22262870569/159382485432*c_0101_4^14 + 286914104093/1275059883456*c_0101_4^13 - 130556253199/425019961152*c_0101_4^12 - 1446913231939/637529941728*c_0101_4^11 + 4257121877353/1275059883456*c_0101_4^10 + 3982276067309/637529941728*c_0101_4^9 - 23280480038093/1275059883456*c_0101_4^8 - 1966140652649/637529941728*c_0101_4^7 + 54172800839017/1275059883456*c_0101_4^6 - 3355681367047/212509980576*c_0101_4^5 - 8029765984571/318764970864*c_0101_4^4 + 4364038629245/159382485432*c_0101_4^3 - 1095323407/6640936893*c_0101_4^2 - 177387444904/19922810679*c_0101_4 + 20849965516/6640936893, c_0101_1 - 1200207679/283346640768*c_0101_4^16 - 45690839525/2550119766912*c_0101_4^15 + 53677851347/2550119766912*c_0101_4^14 + 70970681269/1275059883456*c_0101_4^13 - 807625532219/2550119766912*c_0101_4^12 + 109607480567/850039922304*c_0101_4^11 + 112551540547/79691242716*c_0101_4^10 - 1565213559283/637529941728*c_0101_4^9 - 3470457108295/2550119766912*c_0101_4^8 + 19143726378041/2550119766912*c_0101_4^7 - 3093319024637/637529941728*c_0101_4^6 - 2239329571807/637529941728*c_0101_4^5 + 654796033247/106254990288*c_0101_4^4 - 31178051606/19922810679*c_0101_4^3 - 156621676403/79691242716*c_0101_4^2 + 2955861239/4427291262*c_0101_4 + 8461750268/19922810679, c_0101_4^17 + 7*c_0101_4^16 + 7*c_0101_4^15 - 26*c_0101_4^14 + 37*c_0101_4^13 + 177*c_0101_4^12 - 396*c_0101_4^11 - 364*c_0101_4^10 + 1889*c_0101_4^9 - 683*c_0101_4^8 - 3888*c_0101_4^7 + 3764*c_0101_4^6 + 1432*c_0101_4^5 - 4224*c_0101_4^4 + 1728*c_0101_4^3 + 960*c_0101_4^2 - 1024*c_0101_4 + 256 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB