Magma V2.19-8 Tue Aug 20 2013 16:18:46 on localhost [Seed = 458917483] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2932 geometric_solution 6.12877429 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 2 0132 0132 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 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 0.213875620297 0.967445179092 0 3 5 4 0132 3201 0132 0132 0 0 0 0 0 1 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.196607886880 0.552235083811 0 0 3 5 3201 0132 1302 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.217864067474 0.985486524749 2 6 1 0 2031 0132 2310 0132 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 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 1.459137985690 0.913998618168 5 4 1 4 2310 2310 0132 3201 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 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 -0.290047404288 1.014717279670 6 2 4 1 2103 1302 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 0.326481826669 1.496462082707 6 3 5 6 3012 0132 2103 1230 0 0 0 0 0 1 0 -1 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 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 0.622081475586 0.635910025463 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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_2_6' : d['1'], 's_1_6' : 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' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : 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_6' : negation(d['c_0011_3']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0101_3'], 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(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' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_0']), 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : negation(d['c_0101_3']), 'c_1001_0' : d['c_0011_5'], 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : negation(d['c_0101_5']), 'c_0110_6' : negation(d['c_0011_3']), 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : d['c_0101_5'], 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : d['c_0011_5'], 'c_1010_1' : negation(d['c_0101_5']), 'c_1010_0' : d['c_0101_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_5, c_0101_0, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 458448792576/31392361*c_0101_5^15 + 1003420730880/31392361*c_0101_5^13 + 1083127776320/31392361*c_0101_5^11 + 645973761904/31392361*c_0101_5^9 + 19863816796/2853851*c_0101_5^7 + 414129997/344971*c_0101_5^5 + 16427991443/125569444*c_0101_5^3 + 3587039227/502277776*c_0101_5, c_0011_0 - 1, c_0011_3 - 4186112/2851*c_0101_5^14 - 11096064/2851*c_0101_5^12 - 14415360/2851*c_0101_5^10 - 11151488/2851*c_0101_5^8 - 5453184/2851*c_0101_5^6 - 1683976/2851*c_0101_5^4 - 316558/2851*c_0101_5^2 - 31121/2851, c_0011_4 - 2768896/2851*c_0101_5^15 - 1900544/2851*c_0101_5^13 + 2325504/2851*c_0101_5^11 + 5815552/2851*c_0101_5^9 + 4704576/2851*c_0101_5^7 + 2049888/2851*c_0101_5^5 + 466596/2851*c_0101_5^3 + 64588/2851*c_0101_5, c_0011_5 + 3817472/2851*c_0101_5^14 + 8839168/2851*c_0101_5^12 + 10060800/2851*c_0101_5^10 + 6516608/2851*c_0101_5^8 + 2498272/2851*c_0101_5^6 + 543064/2851*c_0101_5^4 + 71648/2851*c_0101_5^2 + 3045/2851, c_0101_0 - 6668288/2851*c_0101_5^15 - 13836288/2851*c_0101_5^13 - 14541824/2851*c_0101_5^11 - 8421376/2851*c_0101_5^9 - 2839616/2851*c_0101_5^7 - 502928/2851*c_0101_5^5 - 53548/2851*c_0101_5^3 + 5253/2851*c_0101_5, c_0101_3 - 4775936/2851*c_0101_5^14 - 13539328/2851*c_0101_5^12 - 18463232/2851*c_0101_5^10 - 14918016/2851*c_0101_5^8 - 7571808/2851*c_0101_5^6 - 2405528/2851*c_0101_5^4 - 463228/2851*c_0101_5^2 - 48673/2851, c_0101_5^16 + 5/2*c_0101_5^14 + 51/16*c_0101_5^12 + 157/64*c_0101_5^10 + 319/256*c_0101_5^8 + 437/1024*c_0101_5^6 + 417/4096*c_0101_5^4 + 249/16384*c_0101_5^2 + 11/8192 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB