Magma V2.19-8 Tue Aug 20 2013 16:18:16 on localhost [Seed = 3204391818] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2474 geometric_solution 5.80756084 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1230 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.464199869106 0.416542913143 3 2 4 0 0132 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.555006109156 0.735167787486 1 5 0 4 1230 0132 0132 2310 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 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 0.555006109156 0.735167787486 1 4 5 6 0132 0213 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.618811584493 1.320730200826 2 5 3 1 3201 2031 0213 0132 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 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 2.246325674291 0.132786527378 4 2 6 3 1302 0132 2310 3012 0 0 0 0 0 0 0 0 0 0 -1 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 1 -1 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 0.618811584493 1.320730200826 6 5 3 6 3012 3201 0132 1230 0 0 0 0 0 -1 0 1 -1 0 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 -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 0.838675427904 0.802470432424 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : 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' : 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' : d['c_0011_6'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : negation(d['c_0011_1']), 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : negation(d['c_0011_6']), 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : negation(d['c_0011_2']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_6']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : negation(d['c_0011_2']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_0']), '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_1, c_0011_2, c_0011_4, c_0011_6, c_0101_0, c_0101_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t + 26/3*c_0101_1^2 - 10/3*c_0101_1 - 73/3, c_0011_0 - 1, c_0011_1 - c_0101_1 - 1, c_0011_2 - c_0101_1 - 1, c_0011_4 + c_0101_1^2 - 1, c_0011_6 + 1, c_0101_0 + c_0101_1, c_0101_1^3 - 3*c_0101_1 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_2, c_0011_4, c_0011_6, c_0101_0, c_0101_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 49521626/2375931*c_0101_1^11 - 4566758/2375931*c_0101_1^10 - 48304369/2375931*c_0101_1^9 - 103803875/2375931*c_0101_1^8 + 90529268/2375931*c_0101_1^7 - 61974677/791977*c_0101_1^6 - 56411540/791977*c_0101_1^5 + 387247309/2375931*c_0101_1^4 - 1046859358/2375931*c_0101_1^3 + 828136708/2375931*c_0101_1^2 - 193030987/791977*c_0101_1 + 413298692/2375931, c_0011_0 - 1, c_0011_1 + 100292/791977*c_0101_1^11 + 64415/791977*c_0101_1^10 + 79746/791977*c_0101_1^9 + 199037/791977*c_0101_1^8 - 193054/791977*c_0101_1^7 + 143483/791977*c_0101_1^6 + 454460/791977*c_0101_1^5 - 595227/791977*c_0101_1^4 + 1331220/791977*c_0101_1^3 - 920054/791977*c_0101_1^2 + 244329/791977*c_0101_1 - 458889/791977, c_0011_2 + 100292/791977*c_0101_1^11 + 64415/791977*c_0101_1^10 + 79746/791977*c_0101_1^9 + 199037/791977*c_0101_1^8 - 193054/791977*c_0101_1^7 + 143483/791977*c_0101_1^6 + 454460/791977*c_0101_1^5 - 595227/791977*c_0101_1^4 + 1331220/791977*c_0101_1^3 - 920054/791977*c_0101_1^2 + 244329/791977*c_0101_1 - 458889/791977, c_0011_4 + 5925/41683*c_0101_1^11 + 1323/41683*c_0101_1^10 + 8943/41683*c_0101_1^9 + 14670/41683*c_0101_1^8 - 7308/41683*c_0101_1^7 + 30848/41683*c_0101_1^6 + 32662/41683*c_0101_1^5 - 31116/41683*c_0101_1^4 + 136213/41683*c_0101_1^3 - 102231/41683*c_0101_1^2 + 86230/41683*c_0101_1 - 29654/41683, c_0011_6 - 193391/791977*c_0101_1^11 - 75748/791977*c_0101_1^10 - 183480/791977*c_0101_1^9 - 433872/791977*c_0101_1^8 + 241761/791977*c_0101_1^7 - 671503/791977*c_0101_1^6 - 944206/791977*c_0101_1^5 + 1332855/791977*c_0101_1^4 - 3759336/791977*c_0101_1^3 + 1958541/791977*c_0101_1^2 - 1544274/791977*c_0101_1 + 574407/791977, c_0101_0 - 19828/791977*c_0101_1^11 + 56377/791977*c_0101_1^10 - 53228/791977*c_0101_1^9 - 145861/791977*c_0101_1^8 + 67701/791977*c_0101_1^7 - 327526/791977*c_0101_1^6 - 19662/791977*c_0101_1^5 + 501395/791977*c_0101_1^4 - 1390394/791977*c_0101_1^3 + 1078016/791977*c_0101_1^2 - 1016315/791977*c_0101_1 - 454876/791977, c_0101_1^12 + c_0101_1^10 + 2*c_0101_1^9 - 2*c_0101_1^8 + 4*c_0101_1^7 + 3*c_0101_1^6 - 8*c_0101_1^5 + 22*c_0101_1^4 - 19*c_0101_1^3 + 14*c_0101_1^2 - 10*c_0101_1 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB