Magma V2.19-8 Tue Aug 20 2013 16:14:38 on localhost [Seed = 290491671] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s616 geometric_solution 5.09954200 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 2 1230 3012 0132 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 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 0.547162329985 0.608200968251 3 2 4 0 0132 3012 0132 0132 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 1 0 -1 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 0.816300978267 0.817962481020 1 3 0 4 1230 3201 0132 2310 0 0 0 0 0 -1 0 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 0 0 1 -1 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 0.816300978267 0.817962481020 1 5 2 5 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 -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 1.681722661391 0.610801940027 2 4 4 1 3201 1230 3012 0132 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 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 0.102350503962 0.768015483627 3 3 5 5 3201 0132 2031 1302 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 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.516290306448 0.343844590959 ==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' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_5' : negation(d['c_0101_1']), 'c_1100_4' : d['c_0011_4'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : d['c_0011_4'], 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : negation(d['c_0011_1']), 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_1'], 'c_0011_4' : d['c_0011_4'], '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' : d['c_0011_1'], 'c_1001_5' : negation(d['c_0110_5']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0101_0']), '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_0011_1'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_1'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0011_1']), 'c_1010_3' : negation(d['c_0110_5']), 'c_1010_2' : negation(d['c_0101_1']), '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_4, c_0101_0, c_0101_1, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t - 9*c_0110_5^2 + 38*c_0110_5 - 36, c_0011_0 - 1, c_0011_1 - c_0110_5^2 + 2*c_0110_5 + 1, c_0011_4 + c_0110_5^2 - 3*c_0110_5, c_0101_0 + c_0110_5^2 - 2*c_0110_5 - 1, c_0101_1 + c_0110_5^2 - 2*c_0110_5, c_0110_5^3 - 4*c_0110_5^2 + 3*c_0110_5 + 1 ], Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0101_0, c_0101_1, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 5498123174811476985/20169578810994794*c_0110_5^14 + 166149999812367236713/80678315243979176*c_0110_5^13 - 499106989728101963541/40339157621989588*c_0110_5^12 - 1374395154643843073147/40339157621989588*c_0110_5^11 + 14247374465209243636063/80678315243979176*c_0110_5^10 - 5130211242725735246119/80678315243979176*c_0110_5^9 - 14407233582835655899587/40339157621989588*c_0110_5^8 + 19241872930026765890939/80678315243979176*c_0110_5^7 + 16908502434624060455843/40339157621989588*c_0110_5^6 - 5150933602883434557573/40339157621989588*c_0110_5^5 - 8452878993345605994601/40339157621989588*c_0110_5^4 + 797951534729677932733/20169578810994794*c_0110_5^3 + 6525712412186113434831/80678315243979176*c_0110_5^2 + 1830463726307656118013/80678315243979176*c_0110_5 + 127984549257316182071/80678315243979176, c_0011_0 - 1, c_0011_1 - 2256229848165521/20169578810994794*c_0110_5^14 - 33995552726041242/10084789405497397*c_0110_5^13 - 127956505716765936/10084789405497397*c_0110_5^12 + 2778904347017780843/20169578810994794*c_0110_5^11 + 3588076166486368745/20169578810994794*c_0110_5^10 - 17497505940155513846/10084789405497397*c_0110_5^9 + 33570757869095010071/20169578810994794*c_0110_5^8 + 23582836247319026526/10084789405497397*c_0110_5^7 - 35990333674824032930/10084789405497397*c_0110_5^6 - 19829443220268260939/10084789405497397*c_0110_5^5 + 21704526762324374488/10084789405497397*c_0110_5^4 + 15899464282065205281/20169578810994794*c_0110_5^3 - 14442526554765336467/20169578810994794*c_0110_5^2 - 7787110758183988551/20169578810994794*c_0110_5 - 490160880926360863/10084789405497397, c_0011_4 - 56231703116449381/10084789405497397*c_0110_5^14 - 414860498342954474/10084789405497397*c_0110_5^13 + 2620576824685308778/10084789405497397*c_0110_5^12 + 6527436921426544364/10084789405497397*c_0110_5^11 - 37328929011222186567/10084789405497397*c_0110_5^10 + 20245705400884719449/10084789405497397*c_0110_5^9 + 66435794715767611702/10084789405497397*c_0110_5^8 - 57816334722421563634/10084789405497397*c_0110_5^7 - 71025798036333753154/10084789405497397*c_0110_5^6 + 31529155852370639078/10084789405497397*c_0110_5^5 + 33563213121795483468/10084789405497397*c_0110_5^4 - 9419496568483051350/10084789405497397*c_0110_5^3 - 13535898654200800923/10084789405497397*c_0110_5^2 - 3841178187127097782/10084789405497397*c_0110_5 - 343080684140750047/10084789405497397, c_0101_0 - 94603018429506487/10084789405497397*c_0110_5^14 - 717497475725367024/10084789405497397*c_0110_5^13 + 4270674252214763833/10084789405497397*c_0110_5^12 + 11935620132880858532/10084789405497397*c_0110_5^11 - 60827260841014443899/10084789405497397*c_0110_5^10 + 20459621624656373671/10084789405497397*c_0110_5^9 + 123015973438174237788/10084789405497397*c_0110_5^8 - 77479707139341030096/10084789405497397*c_0110_5^7 - 146023826134282640963/10084789405497397*c_0110_5^6 + 36531496152533516761/10084789405497397*c_0110_5^5 + 72977787289817879189/10084789405497397*c_0110_5^4 - 9381661865677505856/10084789405497397*c_0110_5^3 - 28277903416636479965/10084789405497397*c_0110_5^2 - 9412459481333180116/10084789405497397*c_0110_5 - 939981135847964660/10084789405497397, c_0101_1 + 16686391659466493/20169578810994794*c_0110_5^14 + 45651384187155165/10084789405497397*c_0110_5^13 - 499122025573597901/10084789405497397*c_0110_5^12 - 357859530746307231/20169578810994794*c_0110_5^11 + 14069283498156432971/20169578810994794*c_0110_5^10 - 14208606611133167451/10084789405497397*c_0110_5^9 + 1650019653569091813/20169578810994794*c_0110_5^8 + 22484045619413738549/10084789405497397*c_0110_5^7 - 11666857413576026613/10084789405497397*c_0110_5^6 - 14981242693969161275/10084789405497397*c_0110_5^5 + 8172048088865195250/10084789405497397*c_0110_5^4 + 10374171701569969359/20169578810994794*c_0110_5^3 - 4435012374979029401/20169578810994794*c_0110_5^2 - 2855663237534006171/20169578810994794*c_0110_5 - 177388783033460391/10084789405497397, c_0110_5^15 + 8*c_0110_5^14 - 42*c_0110_5^13 - 145*c_0110_5^12 + 591*c_0110_5^11 + 52*c_0110_5^10 - 1397*c_0110_5^9 + 284*c_0110_5^8 + 1894*c_0110_5^7 + 242*c_0110_5^6 - 940*c_0110_5^5 - 213*c_0110_5^4 + 343*c_0110_5^3 + 221*c_0110_5^2 + 50*c_0110_5 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB