Magma V2.19-8 Tue Aug 20 2013 16:14:24 on localhost [Seed = 2867541672] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s397 geometric_solution 4.64336006 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 0 1 0 0132 1302 2310 2031 0 0 0 0 0 -1 0 1 -1 0 0 1 0 -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 1 -1 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 -2.108518712251 1.651683700026 0 0 3 2 0132 3201 0132 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 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 0.327292724598 0.365573633545 3 4 1 3 1230 0132 0132 1302 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 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.618457434780 0.738968071875 4 2 2 1 0132 3012 2031 0132 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 -1 1 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 0.618457434780 0.738968071875 3 2 5 5 0132 0132 3201 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.837202652600 1.178766367218 4 5 4 5 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 -0.108048068542 1.013344496955 ==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_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_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_5' : negation(d['c_0011_5']), 'c_1100_4' : negation(d['c_0011_5']), 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0101_3'], 'c_1100_2' : d['c_0101_3'], 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0101_1'], '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' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0011_2']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_2'], 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : d['c_0101_3'], 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0011_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_2, c_0011_5, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 19 Groebner basis: [ t - 35532432868689232/267456207781307*c_0101_3^18 - 96894190318389762/267456207781307*c_0101_3^17 + 204196771947019058/267456207781307*c_0101_3^16 + 440987219497976217/267456207781307*c_0101_3^15 - 301298900699142032/267456207781307*c_0101_3^14 - 412702476710357339/267456207781307*c_0101_3^13 + 194134414001788674/267456207781307*c_0101_3^12 + 1048540546305753208/267456207781307*c_0101_3^11 - 4942727239787681815/267456207781307*c_0101_3^10 - 6431193859795280634/267456207781307*c_0101_3^9 + 13766906782120455118/267456207781307*c_0101_3^8 + 13975870297379396770/267456207781307*c_0101_3^7 - 12266507440902607595/267456207781307*c_0101_3^6 - 12954533246406576921/267456207781307*c_0101_3^5 + 3136540026107241233/267456207781307*c_0101_3^4 + 4997972336517142191/267456207781307*c_0101_3^3 + 310986399545675271/267456207781307*c_0101_3^2 - 671994797882795394/267456207781307*c_0101_3 - 127550964040023654/267456207781307, c_0011_0 - 1, c_0011_2 - 240890352745973/267456207781307*c_0101_3^18 - 507103232543085/267456207781307*c_0101_3^17 + 1665614914434482/267456207781307*c_0101_3^16 + 1855817220125691/267456207781307*c_0101_3^15 - 3029294221261140/267456207781307*c_0101_3^14 - 491174989824934/267456207781307*c_0101_3^13 + 1497613643124887/267456207781307*c_0101_3^12 + 5869240450929525/267456207781307*c_0101_3^11 - 37198751928098228/267456207781307*c_0101_3^10 - 19539496222119279/267456207781307*c_0101_3^9 + 100915888372831170/267456207781307*c_0101_3^8 + 25430149997295677/267456207781307*c_0101_3^7 - 88878386219959428/267456207781307*c_0101_3^6 - 18549255246652065/267456207781307*c_0101_3^5 + 29259524729224544/267456207781307*c_0101_3^4 + 4820190987345910/267456207781307*c_0101_3^3 - 4241046970794209/267456207781307*c_0101_3^2 + 708768714782/267456207781307*c_0101_3 + 262777033070294/267456207781307, c_0011_5 + 264786862833676/267456207781307*c_0101_3^18 + 499085251492129/267456207781307*c_0101_3^17 - 1921190534846980/267456207781307*c_0101_3^16 - 1597066067557403/267456207781307*c_0101_3^15 + 3502866028234464/267456207781307*c_0101_3^14 - 254360748538521/267456207781307*c_0101_3^13 - 1258433708517810/267456207781307*c_0101_3^12 - 6302439243453072/267456207781307*c_0101_3^11 + 42343918279684283/267456207781307*c_0101_3^10 + 11708325182292231/267456207781307*c_0101_3^9 - 109924372435412031/267456207781307*c_0101_3^8 - 5456216906079779/267456207781307*c_0101_3^7 + 89961008397348382/267456207781307*c_0101_3^6 + 4199105871699157/267456207781307*c_0101_3^5 - 27785193421336765/267456207781307*c_0101_3^4 - 3539280830924/267456207781307*c_0101_3^3 + 4902315592820704/267456207781307*c_0101_3^2 - 694777095183587/267456207781307*c_0101_3 - 462879171627800/267456207781307, c_0101_0 - 971404878429/367890244541*c_0101_3^18 - 2182126380289/367890244541*c_0101_3^17 + 6428213184069/367890244541*c_0101_3^16 + 8546632037446/367890244541*c_0101_3^15 - 10943515340467/367890244541*c_0101_3^14 - 4510323639438/367890244541*c_0101_3^13 + 5051975413435/367890244541*c_0101_3^12 + 25832506856325/367890244541*c_0101_3^11 - 146653326081946/367890244541*c_0101_3^10 - 100205000059203/367890244541*c_0101_3^9 + 393009136109779/367890244541*c_0101_3^8 + 178215737114933/367890244541*c_0101_3^7 - 338883909048126/367890244541*c_0101_3^6 - 168961821645719/367890244541*c_0101_3^5 + 99880146219740/367890244541*c_0101_3^4 + 67464624497697/367890244541*c_0101_3^3 - 5815115798940/367890244541*c_0101_3^2 - 8682829525185/367890244541*c_0101_3 - 889299538702/367890244541, c_0101_1 + 767816377500019/267456207781307*c_0101_3^18 + 1845809077190676/267456207781307*c_0101_3^17 - 4915986903330616/267456207781307*c_0101_3^16 - 7799429755442802/267456207781307*c_0101_3^15 + 8252235620317890/267456207781307*c_0101_3^14 + 5810212883354617/267456207781307*c_0101_3^13 - 4418411612202920/267456207781307*c_0101_3^12 - 21294230017019166/267456207781307*c_0101_3^11 + 113022588968470910/267456207781307*c_0101_3^10 + 100244945095974414/267456207781307*c_0101_3^9 - 314171784888574516/267456207781307*c_0101_3^8 - 200418519388217291/267456207781307*c_0101_3^7 + 283683964761753129/267456207781307*c_0101_3^6 + 192983620970512235/267456207781307*c_0101_3^5 - 84581523502587057/267456207781307*c_0101_3^4 - 78567111394591423/267456207781307*c_0101_3^3 + 973632469067008/267456207781307*c_0101_3^2 + 10338770182989757/267456207781307*c_0101_3 + 1708989845630746/267456207781307, c_0101_3^19 + 3*c_0101_3^18 - 5*c_0101_3^17 - 14*c_0101_3^16 + 5*c_0101_3^15 + 14*c_0101_3^14 - 2*c_0101_3^13 - 31*c_0101_3^12 + 131*c_0101_3^11 + 219*c_0101_3^10 - 337*c_0101_3^9 - 502*c_0101_3^8 + 232*c_0101_3^7 + 463*c_0101_3^6 + 19*c_0101_3^5 - 165*c_0101_3^4 - 50*c_0101_3^3 + 16*c_0101_3^2 + 9*c_0101_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB