Magma V2.19-8 Tue Aug 20 2013 16:14:28 on localhost [Seed = 981182015] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s454 geometric_solution 4.77469898 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 -1 0 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 -1 1 0 0 0 0 0 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.052601079164 0.622610870169 0 2 3 2 0132 3201 2310 1023 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 0 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.474311046429 0.968886562281 3 0 1 1 0132 0132 2310 1023 0 0 0 0 0 1 -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 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 0.432633741916 0.797378404252 2 1 4 0 0132 3201 2310 0132 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 1 0 -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 0.052601079164 0.622610870169 5 3 0 5 0132 3201 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.259145350153 1.039921554840 4 5 5 4 0132 1230 3012 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.991403564634 0.456618901997 ==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' : negation(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' : d['1'], 's_1_3' : d['1'], 's_1_2' : 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' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_4'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_5' : d['c_0101_5'], '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' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], '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' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_5'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : negation(d['c_0101_3'])})} 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_4, c_0101_0, c_0101_1, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 8100223369912/127962711615*c_0101_5^12 - 16839785169478/127962711615*c_0101_5^10 + 90494717089521/42654237205*c_0101_5^8 + 670918433759273/1023701692920*c_0101_5^6 + 503266164555989/1023701692920*c_0101_5^4 - 48532168733983/255925423230*c_0101_5^2 + 12181103970839/255925423230, c_0011_0 - 1, c_0011_4 + 6028043936/8530847441*c_0101_5^13 - 18779603336/8530847441*c_0101_5^11 + 213762613300/8530847441*c_0101_5^9 - 288749780661/17061694882*c_0101_5^7 - 119385960931/17061694882*c_0101_5^5 - 161303852159/17061694882*c_0101_5^3 + 19962283312/8530847441*c_0101_5, c_0101_0 + 3487881120/8530847441*c_0101_5^12 - 8103574792/8530847441*c_0101_5^10 + 118144512580/8530847441*c_0101_5^8 + 16681735715/17061694882*c_0101_5^6 + 2319153087/17061694882*c_0101_5^4 - 33329211435/8530847441*c_0101_5^2 + 1475697709/8530847441, c_0101_1 + 22602176240/8530847441*c_0101_5^13 - 38350860156/8530847441*c_0101_5^11 + 740869142746/8530847441*c_0101_5^9 + 2081915585209/34123389764*c_0101_5^7 + 618894907643/17061694882*c_0101_5^5 + 2339551051/17061694882*c_0101_5^3 + 2121600746/8530847441*c_0101_5, c_0101_3 + 73960079360/8530847441*c_0101_5^13 - 151026730464/8530847441*c_0101_5^11 + 2473251521592/8530847441*c_0101_5^9 + 856079381372/8530847441*c_0101_5^7 + 1216844465495/17061694882*c_0101_5^5 - 230851571204/8530847441*c_0101_5^3 + 38219201542/8530847441*c_0101_5, c_0101_5^14 - 9/4*c_0101_5^12 + 271/8*c_0101_5^10 + 295/64*c_0101_5^8 + 49/8*c_0101_5^6 - 35/8*c_0101_5^4 + 5/4*c_0101_5^2 - 1/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB