Magma V2.19-8 Tue Aug 20 2013 16:19:23 on localhost [Seed = 812756279] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3490 geometric_solution 6.75141498 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 3 0132 0132 2031 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 1 0 -1 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 0.370678224784 0.921686416097 0 4 5 3 0132 0132 0132 0321 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 -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 0.332348400307 0.705435878940 3 0 6 0 3012 0132 0132 1302 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 -1 0 1 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 0.505255423587 0.739982436520 6 1 0 2 2310 0321 0132 1230 0 0 0 0 0 -1 0 1 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 0 1 -1 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 -0.292290963294 0.747760278821 6 1 4 4 0213 0132 1230 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.370678224784 0.921686416097 5 5 6 1 1230 3012 0213 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 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 0.370678224784 0.921686416097 4 5 3 2 0213 0213 3201 0132 0 0 0 0 0 0 0 0 0 0 1 -1 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 0 0 -1 1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.453459952857 1.160074663141 ==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' : negation(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' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_0_6' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_5' : d['c_1001_2'], 'c_1100_4' : negation(d['c_0101_2']), 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_1001_2'], 'c_1100_0' : d['c_0110_2'], 'c_1100_3' : d['c_0110_2'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0011_0'], 'c_0101_5' : d['c_0011_6'], 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_5'], 'c_0101_0' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : negation(d['c_0011_5']), 'c_1001_1' : negation(d['c_0011_6']), 'c_1001_0' : negation(d['c_0110_2']), 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_0110_1' : negation(d['c_0011_3']), 'c_0110_0' : d['c_0011_5'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : negation(d['c_0110_2']), 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : d['c_1001_2']})} 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_0011_6, c_0101_2, c_0110_2, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t - 65175/6656*c_0110_2*c_1001_2^11 + 905819/3328*c_0110_2*c_1001_2^10 - 5289545/6656*c_0110_2*c_1001_2^9 - 243741/832*c_0110_2*c_1001_2^8 + 19656431/6656*c_0110_2*c_1001_2^7 - 9439699/6656*c_0110_2*c_1001_2^6 - 19627419/6656*c_0110_2*c_1001_2^5 + 10306767/6656*c_0110_2*c_1001_2^4 + 2292419/1664*c_0110_2*c_1001_2^3 - 2456631/6656*c_0110_2*c_1001_2^2 - 186443/832*c_0110_2*c_1001_2 + 29605/6656*c_0110_2, c_0011_0 - 1, c_0011_3 - 1037/1664*c_0110_2*c_1001_2^11 + 14317/832*c_0110_2*c_1001_2^10 - 78747/1664*c_0110_2*c_1001_2^9 - 6199/208*c_0110_2*c_1001_2^8 + 318837/1664*c_0110_2*c_1001_2^7 - 98633/1664*c_0110_2*c_1001_2^6 - 374553/1664*c_0110_2*c_1001_2^5 + 150701/1664*c_0110_2*c_1001_2^4 + 48393/416*c_0110_2*c_1001_2^3 - 44781/1664*c_0110_2*c_1001_2^2 - 1237/52*c_0110_2*c_1001_2 + 1103/1664*c_0110_2, c_0011_5 + 635/1664*c_1001_2^11 - 4391/416*c_1001_2^10 + 48923/1664*c_1001_2^9 + 7897/416*c_1001_2^8 - 204407/1664*c_1001_2^7 + 58913/1664*c_1001_2^6 + 256475/1664*c_1001_2^5 - 93677/1664*c_1001_2^4 - 2239/26*c_1001_2^3 + 21599/1664*c_1001_2^2 + 14551/832*c_1001_2 + 2701/1664, c_0011_6 + 139/128*c_0110_2*c_1001_2^11 - 3861/128*c_0110_2*c_1001_2^10 + 701/8*c_0110_2*c_1001_2^9 + 2055/64*c_0110_2*c_1001_2^8 - 41501/128*c_0110_2*c_1001_2^7 + 5069/32*c_0110_2*c_1001_2^6 + 41205/128*c_0110_2*c_1001_2^5 - 349/2*c_0110_2*c_1001_2^4 - 9883/64*c_0110_2*c_1001_2^3 + 5797/128*c_0110_2*c_1001_2^2 + 3763/128*c_0110_2*c_1001_2 + 11/64*c_0110_2, c_0101_2 + 1037/1664*c_1001_2^11 - 14317/832*c_1001_2^10 + 78747/1664*c_1001_2^9 + 6199/208*c_1001_2^8 - 318837/1664*c_1001_2^7 + 98633/1664*c_1001_2^6 + 374553/1664*c_1001_2^5 - 150701/1664*c_1001_2^4 - 48393/416*c_1001_2^3 + 44781/1664*c_1001_2^2 + 1185/52*c_1001_2 - 1103/1664, c_0110_2^2 - 635/1664*c_1001_2^11 + 4391/416*c_1001_2^10 - 48923/1664*c_1001_2^9 - 7897/416*c_1001_2^8 + 204407/1664*c_1001_2^7 - 58913/1664*c_1001_2^6 - 256475/1664*c_1001_2^5 + 93677/1664*c_1001_2^4 + 2239/26*c_1001_2^3 - 23263/1664*c_1001_2^2 - 14551/832*c_1001_2 - 2701/1664, c_1001_2^12 - 27*c_1001_2^11 + 59*c_1001_2^10 + 95*c_1001_2^9 - 277*c_1001_2^8 - 102*c_1001_2^7 + 418*c_1001_2^6 + 102*c_1001_2^5 - 277*c_1001_2^4 - 95*c_1001_2^3 + 59*c_1001_2^2 + 27*c_1001_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB