Magma V2.19-8 Tue Aug 20 2013 16:16:20 on localhost [Seed = 1747580045] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0600 geometric_solution 4.60992652 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 0 2 0 0132 2310 0132 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 1 0 -1 1 0 0 -1 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.434483474266 0.407529536235 0 2 4 3 0132 3201 0132 0132 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 -1 1 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 1.224393033541 1.148435682097 4 3 1 0 2103 2031 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 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.224393033541 1.148435682097 2 5 1 5 1302 0132 0132 1023 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 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 0.644181621910 0.415410604545 6 6 2 1 0132 2310 2103 0132 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 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 1.189341112012 1.388531174255 6 3 6 3 2031 0132 0213 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.731278489293 0.140702312858 4 5 5 4 0132 0213 1302 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.318651558838 0.253716370574 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(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' : d['1'], 's_2_3' : negation(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' : d['1'], 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(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' : d['c_0011_2'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_2'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : d['c_0101_2'], 'c_0101_3' : negation(d['c_0011_2']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : negation(d['c_0011_2']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(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_3'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0110_5'], 'c_1001_4' : d['c_0011_2'], 'c_1001_6' : d['c_0110_5'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_0011_3'], 'c_1001_3' : d['c_0110_3'], 'c_1001_2' : negation(d['c_0110_3']), 'c_0110_1' : negation(d['c_0011_2']), 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : negation(d['c_0011_2']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0011_2']), 'c_1010_5' : d['c_0110_3'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_0110_5'], 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : d['c_0110_3'], 'c_1010_0' : negation(d['c_0011_3'])})} 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_3, c_0011_4, c_0101_2, c_0110_3, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 87296/1515*c_0110_5^8 + 275008/1515*c_0110_5^7 - 503768/1515*c_0110_5^6 + 227124/505*c_0110_5^5 - 132632/303*c_0110_5^4 + 169967/505*c_0110_5^3 - 212006/1515*c_0110_5^2 + 115676/1515*c_0110_5 - 7422/505, c_0011_0 - 1, c_0011_2 + 2888/505*c_0110_5^8 - 25052/1515*c_0110_5^7 + 41752/1515*c_0110_5^6 - 51833/1515*c_0110_5^5 + 2952/101*c_0110_5^4 - 28414/1515*c_0110_5^3 + 1768/505*c_0110_5^2 - 4934/1515*c_0110_5 + 284/1515, c_0011_3 + 8344/1515*c_0110_5^8 - 6044/505*c_0110_5^7 + 7924/505*c_0110_5^6 - 23293/1515*c_0110_5^5 + 2101/303*c_0110_5^4 - 2129/1515*c_0110_5^3 - 11936/1515*c_0110_5^2 - 3614/1515*c_0110_5 - 3206/1515, c_0011_4 + c_0110_5, c_0101_2 + 5752/1515*c_0110_5^8 - 4732/505*c_0110_5^7 + 7252/505*c_0110_5^6 - 25429/1515*c_0110_5^5 + 3895/303*c_0110_5^4 - 13592/1515*c_0110_5^3 + 1132/1515*c_0110_5^2 - 5042/1515*c_0110_5 + 37/1515, c_0110_3 - 5752/1515*c_0110_5^8 + 4732/505*c_0110_5^7 - 7252/505*c_0110_5^6 + 25429/1515*c_0110_5^5 - 3895/303*c_0110_5^4 + 13592/1515*c_0110_5^3 - 1132/1515*c_0110_5^2 + 5042/1515*c_0110_5 - 37/1515, c_0110_5^9 - 5/2*c_0110_5^8 + 4*c_0110_5^7 - 39/8*c_0110_5^6 + 4*c_0110_5^5 - 23/8*c_0110_5^4 + 1/2*c_0110_5^3 - 9/8*c_0110_5^2 - 1/8*c_0110_5 - 1/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB