Magma V2.19-8 Tue Aug 20 2013 16:17:10 on localhost [Seed = 1157945749] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1409 geometric_solution 5.25015366 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 2310 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 1.813233322230 0.870784978130 0 1 1 0 0132 3201 2310 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.687491843747 0.156523211406 0 3 4 0 3201 0132 0132 0132 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 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 0.755476045314 0.462525265231 5 2 4 6 0132 0132 1302 0132 0 0 0 0 0 1 0 -1 -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 0 0 0 -1 0 0 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 0.518341326027 0.522004895816 3 6 5 2 2031 2310 1023 0132 0 0 0 0 0 0 1 -1 0 0 0 0 1 -1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.518341326027 0.522004895816 3 5 4 5 0132 2310 1023 3201 0 0 0 0 0 -1 0 1 1 0 -1 0 -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 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 -0.009365611112 1.081969307336 6 6 3 4 1302 2031 0132 3201 0 0 0 0 0 0 1 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.539671045537 0.502770553490 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : negation(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' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : negation(d['c_0011_6']), 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : negation(d['c_0011_6']), 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0110_6']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_6']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : negation(d['c_0110_6']), 'c_1010_3' : negation(d['c_0110_6']), 'c_1010_2' : negation(d['c_0101_1']), '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 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 1120079/20562*c_0110_6^9 + 1402681/6854*c_0110_6^8 - 49321/10281*c_0110_6^7 - 10985/20562*c_0110_6^6 - 17955619/20562*c_0110_6^5 + 134467/20562*c_0110_6^4 + 1304437/3427*c_0110_6^3 - 4582357/10281*c_0110_6^2 - 5059157/10281*c_0110_6 - 2334130/10281, c_0011_0 - 1, c_0011_2 + 293/6854*c_0110_6^9 - 1307/6854*c_0110_6^8 + 1211/6854*c_0110_6^7 - 1010/3427*c_0110_6^6 + 6917/6854*c_0110_6^5 - 2045/3427*c_0110_6^4 + 2547/6854*c_0110_6^3 - 4887/6854*c_0110_6^2 + 1356/3427*c_0110_6 + 1294/3427, c_0011_4 + 3085/6854*c_0011_6*c_0110_6^9 - 10697/6854*c_0011_6*c_0110_6^8 - 3975/6854*c_0011_6*c_0110_6^7 + 2138/3427*c_0011_6*c_0110_6^6 + 22806/3427*c_0011_6*c_0110_6^5 + 16903/6854*c_0011_6*c_0110_6^4 - 37395/6854*c_0011_6*c_0110_6^3 + 16373/3427*c_0011_6*c_0110_6^2 + 34087/6854*c_0011_6*c_0110_6 + 12851/6854*c_0011_6, c_0011_6^2 - 1143/3427*c_0110_6^9 + 10747/6854*c_0110_6^8 - 4537/3427*c_0110_6^7 + 2789/6854*c_0110_6^6 - 35475/6854*c_0110_6^5 + 16540/3427*c_0110_6^4 + 2813/3427*c_0110_6^3 - 40669/6854*c_0110_6^2 + 1643/3427*c_0110_6 + 653/3427, c_0101_0 - 704/3427*c_0110_6^9 + 2731/3427*c_0110_6^8 - 126/3427*c_0110_6^7 - 1018/3427*c_0110_6^6 - 21625/6854*c_0110_6^5 + 1069/6854*c_0110_6^4 + 9600/3427*c_0110_6^3 - 16435/6854*c_0110_6^2 - 15243/6854*c_0110_6 - 1945/6854, c_0101_1 - 1215/6854*c_0110_6^9 + 4835/6854*c_0110_6^8 - 1045/6854*c_0110_6^7 - 501/6854*c_0110_6^6 - 9704/3427*c_0110_6^5 + 3556/3427*c_0110_6^4 + 4234/3427*c_0110_6^3 - 5593/3427*c_0110_6^2 - 12825/6854*c_0110_6 - 395/3427, c_0110_6^10 - 4*c_0110_6^9 + c_0110_6^8 + 16*c_0110_6^6 - 4*c_0110_6^5 - 7*c_0110_6^4 + 10*c_0110_6^3 + 7*c_0110_6^2 + 2*c_0110_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB