Magma V2.19-8 Tue Aug 20 2013 16:16:28 on localhost [Seed = 3280101157] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0752 geometric_solution 4.69715237 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 -1 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 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 1.422104303082 1.089915270597 0 1 1 2 0132 1230 3012 2310 0 0 0 0 0 1 -1 0 1 0 -1 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 1 -1 0 1 0 -1 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 -0.123778641147 0.241103518013 1 0 5 3 3201 0132 0132 3012 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 -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 1.422104303082 1.089915270597 5 6 2 0 0213 0132 1230 0132 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 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 0.979121996455 1.429421437305 5 6 0 6 2031 1023 0132 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.411888423958 0.390480739432 3 6 4 2 0213 1230 1302 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 -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 1.133994520271 0.458331013152 4 3 5 4 1023 0132 3012 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.438808544282 0.207966119296 ==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' : 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' : 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' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0110_4']), 'c_1100_5' : d['c_0101_1'], 'c_1100_4' : negation(d['c_0101_1']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : negation(d['c_0101_1']), 'c_1100_3' : negation(d['c_0101_1']), 'c_1100_2' : d['c_0101_1'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_3']), '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' : d['c_0110_4'], 'c_1001_4' : d['c_0101_6'], 'c_1001_6' : negation(d['c_0011_5']), 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : negation(d['c_0011_5']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : d['c_0101_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : negation(d['c_0101_0']), 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : negation(d['c_0110_4']), 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : d['c_0101_6'], 'c_1010_4' : negation(d['c_0110_4']), 'c_1010_3' : negation(d['c_0011_5']), 'c_1010_2' : negation(d['c_0011_5']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0101_6']})} 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_5, c_0101_0, c_0101_1, c_0101_6, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 88917/1360*c_0110_4^9 + 34987/80*c_0110_4^8 + 1415599/1360*c_0110_4^7 + 93233/1360*c_0110_4^6 - 107462/85*c_0110_4^5 + 3911663/1360*c_0110_4^4 - 2905191/1360*c_0110_4^3 + 1437789/1360*c_0110_4^2 + 1149707/1360*c_0110_4 + 3374/17, c_0011_0 - 1, c_0011_3 + 41/544*c_0110_4^9 + 19/34*c_0110_4^8 + 25/16*c_0110_4^7 + 16/17*c_0110_4^6 - 747/544*c_0110_4^5 + 1323/544*c_0110_4^4 + 11/68*c_0110_4^3 - 105/272*c_0110_4^2 + 211/68*c_0110_4 + 247/544, c_0011_5 + 223/544*c_0110_4^9 + 95/34*c_0110_4^8 + 1867/272*c_0110_4^7 + 83/68*c_0110_4^6 - 4237/544*c_0110_4^5 + 9677/544*c_0110_4^4 - 695/68*c_0110_4^3 + 1125/272*c_0110_4^2 + 245/34*c_0110_4 + 865/544, c_0101_0 + 35/272*c_0110_4^9 + 251/272*c_0110_4^8 + 673/272*c_0110_4^7 + 325/272*c_0110_4^6 - 9/4*c_0110_4^5 + 1209/272*c_0110_4^4 - 551/272*c_0110_4^3 - 157/272*c_0110_4^2 + 375/272*c_0110_4 + 5/4, c_0101_1 + 97/272*c_0110_4^9 + 161/68*c_0110_4^8 + 375/68*c_0110_4^7 - 15/68*c_0110_4^6 - 2101/272*c_0110_4^5 + 4291/272*c_0110_4^4 - 763/68*c_0110_4^3 + 375/68*c_0110_4^2 + 365/68*c_0110_4 + 233/272, c_0101_6 + 223/544*c_0110_4^9 + 95/34*c_0110_4^8 + 1867/272*c_0110_4^7 + 83/68*c_0110_4^6 - 4237/544*c_0110_4^5 + 9677/544*c_0110_4^4 - 695/68*c_0110_4^3 + 1125/272*c_0110_4^2 + 245/34*c_0110_4 + 865/544, c_0110_4^10 + 7*c_0110_4^9 + 18*c_0110_4^8 + 6*c_0110_4^7 - 19*c_0110_4^6 + 38*c_0110_4^5 - 19*c_0110_4^4 + 6*c_0110_4^3 + 18*c_0110_4^2 + 7*c_0110_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB