Magma V2.19-8 Tue Aug 20 2013 16:14:15 on localhost [Seed = 2160139436] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s216 geometric_solution 4.35931748 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 1 0 0 0132 2310 1230 3012 0 0 0 0 0 0 1 -1 0 0 1 -1 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 2.145407543204 0.464800628287 0 2 3 0 0132 0132 0132 3201 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 -1 1 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 -0.083922846386 0.931607845080 3 1 4 3 2310 0132 0132 2031 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.140889505984 0.707678856240 4 2 2 1 1023 1302 3201 0132 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 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.140889505984 0.707678856240 5 3 5 2 0132 1023 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.443163799857 0.678955519396 4 4 5 5 0132 3201 2031 1302 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 0.535456465134 0.296755297104 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(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' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : d['c_0101_2'], 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_3'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : d['c_0101_2'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : 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' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : d['c_0101_1'], '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_3, c_0101_0, c_0101_1, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 55950270010/22469530501*c_0101_4^11 - 1738018613996/22469530501*c_0101_4^10 - 1056658760269/22469530501*c_0101_4^9 + 2828324898541/22469530501*c_0101_4^8 + 4673334822151/22469530501*c_0101_4^7 - 2780680714939/22469530501*c_0101_4^6 - 3753251916510/22469530501*c_0101_4^5 + 862309642949/22469530501*c_0101_4^4 - 511213497040/22469530501*c_0101_4^3 + 3422866707796/22469530501*c_0101_4^2 - 1110888738174/22469530501*c_0101_4 - 621048821065/22469530501, c_0011_0 - 1, c_0011_3 - 13585996977/22469530501*c_0101_4^11 - 428438075522/22469530501*c_0101_4^10 - 460129664454/22469530501*c_0101_4^9 + 423866218821/22469530501*c_0101_4^8 + 1311336593539/22469530501*c_0101_4^7 + 47114533934/22469530501*c_0101_4^6 - 714013825902/22469530501*c_0101_4^5 - 199688873028/22469530501*c_0101_4^4 - 402471947500/22469530501*c_0101_4^3 + 577742290722/22469530501*c_0101_4^2 - 27315402471/22469530501*c_0101_4 - 52880026659/22469530501, c_0101_0 + 22054223731/22469530501*c_0101_4^11 + 698317643003/22469530501*c_0101_4^10 + 840041833843/22469530501*c_0101_4^9 - 469439504791/22469530501*c_0101_4^8 - 2005747679219/22469530501*c_0101_4^7 - 322400695388/22469530501*c_0101_4^6 + 809947726215/22469530501*c_0101_4^5 + 223719800695/22469530501*c_0101_4^4 + 729349330507/22469530501*c_0101_4^3 - 758753849107/22469530501*c_0101_4^2 + 105228801401/22469530501*c_0101_4 + 28168309007/22469530501, c_0101_1 - 25480297025/22469530501*c_0101_4^11 - 808097335565/22469530501*c_0101_4^10 - 1012094669145/22469530501*c_0101_4^9 + 478287518132/22469530501*c_0101_4^8 + 2331320738755/22469530501*c_0101_4^7 + 526222974731/22469530501*c_0101_4^6 - 830276781473/22469530501*c_0101_4^5 - 278991262427/22469530501*c_0101_4^4 - 892242958979/22469530501*c_0101_4^3 + 795859802415/22469530501*c_0101_4^2 - 114415851162/22469530501*c_0101_4 - 39066294002/22469530501, c_0101_2 + 12579518222/22469530501*c_0101_4^11 + 400035483796/22469530501*c_0101_4^10 + 534366124126/22469530501*c_0101_4^9 - 180947170102/22469530501*c_0101_4^8 - 1180921861798/22469530501*c_0101_4^7 - 415953245238/22469530501*c_0101_4^6 + 321178549391/22469530501*c_0101_4^5 + 213534919739/22469530501*c_0101_4^4 + 519313878070/22469530501*c_0101_4^3 - 323232532564/22469530501*c_0101_4^2 + 45988401225/22469530501*c_0101_4 - 10616597960/22469530501, c_0101_4^12 + 31*c_0101_4^11 + 17*c_0101_4^10 - 49*c_0101_4^9 - 81*c_0101_4^8 + 45*c_0101_4^7 + 53*c_0101_4^6 - 9*c_0101_4^5 + 26*c_0101_4^4 - 58*c_0101_4^3 + 24*c_0101_4^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB