Magma V2.19-8 Tue Aug 20 2013 16:16:22 on localhost [Seed = 3347471143] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0646 geometric_solution 4.63330983 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 3 0132 0132 1230 0132 0 0 0 0 0 -1 1 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 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 0.355442920380 0.765874172581 0 4 4 2 0132 0132 1023 3012 0 0 0 0 0 0 -1 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 0 0 0 0 -1 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 0 0 0.601242215903 0.224175113451 3 0 1 0 1230 0132 1230 3012 0 0 0 0 0 1 0 -1 0 0 1 -1 -1 1 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 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 0.643259575452 0.764332455077 3 2 0 3 3201 3012 0132 2310 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 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 -0.498585307294 1.074303602045 5 1 1 5 0132 0132 1023 3201 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 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 1.002493094645 0.344661884204 4 4 6 6 0132 2310 2310 0132 0 0 0 0 0 0 0 0 1 0 0 -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 1 0 0 -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 1.813490576519 0.719810340897 6 5 5 6 3012 3201 0132 1230 0 0 0 0 0 0 0 0 0 0 1 -1 1 0 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 1 -1 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.359346131286 0.110014858135 ==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' : d['c_0011_6'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_0011_0'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0101_0'], 'c_0101_6' : d['c_0101_4'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], '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' : negation(d['c_0011_0']), '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_0101_4']), 'c_1001_4' : d['c_0101_1'], 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_1']), 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : d['c_0101_4'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0011_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_3, c_0011_6, c_0101_0, c_0101_1, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 28 Groebner basis: [ t - 210098303/79428387*c_0101_4*c_0101_5^13 + 177458707/26476129*c_0101_4*c_0101_5^12 + 2977094204/79428387*c_0101_4*c_0101_5^11 - 7197552581/79428387*c_0101_4*c_0101_5^10 - 10186920142/79428387*c_0101_4*c_0101_5^9 + 26882510006/79428387*c_0101_4*c_0101_5^8 + 8935859900/79428387*c_0101_4*c_0101_5^7 - 14848095317/26476129*c_0101_4*c_0101_5^6 + 14682414431/79428387*c_0101_4*c_0101_5^5 + 25022505257/79428387*c_0101_4*c_0101_5^4 - 5733841993/26476129*c_0101_4*c_0101_5^3 - 1753354678/79428387*c_0101_4*c_0101_5^2 + 3285310280/79428387*c_0101_4*c_0101_5 - 219647339/79428387*c_0101_4, c_0011_0 - 1, c_0011_3 + 25688461/26476129*c_0101_4*c_0101_5^13 - 76962965/26476129*c_0101_4*c_0101_5^12 - 354858278/26476129*c_0101_4*c_0101_5^11 + 1076015270/26476129*c_0101_4*c_0101_5^10 + 1187886061/26476129*c_0101_4*c_0101_5^9 - 4193315628/26476129*c_0101_4*c_0101_5^8 - 1273707881/26476129*c_0101_4*c_0101_5^7 + 7004777034/26476129*c_0101_4*c_0101_5^6 - 998505306/26476129*c_0101_4*c_0101_5^5 - 3955734193/26476129*c_0101_4*c_0101_5^4 + 1185481110/26476129*c_0101_4*c_0101_5^3 + 552567040/26476129*c_0101_4*c_0101_5^2 - 171599307/26476129*c_0101_4*c_0101_5 + 34971075/26476129*c_0101_4, c_0011_6 - 412681/79428387*c_0101_5^13 - 8706449/26476129*c_0101_5^12 + 55114081/79428387*c_0101_5^11 + 421834325/79428387*c_0101_5^10 - 655142972/79428387*c_0101_5^9 - 1977187322/79428387*c_0101_5^8 + 2233030390/79428387*c_0101_5^7 + 1284299882/26476129*c_0101_5^6 - 3401628590/79428387*c_0101_5^5 - 2628505679/79428387*c_0101_5^4 + 644198776/26476129*c_0101_5^3 + 342427798/79428387*c_0101_5^2 - 280029521/79428387*c_0101_5 + 136524761/79428387, c_0101_0 + 120292126/79428387*c_0101_4*c_0101_5^13 - 56697085/26476129*c_0101_4*c_0101_5^12 - 1976592340/79428387*c_0101_4*c_0101_5^11 + 1996593181/79428387*c_0101_4*c_0101_5^10 + 9453566795/79428387*c_0101_4*c_0101_5^9 - 5783766463/79428387*c_0101_4*c_0101_5^8 - 18503766637/79428387*c_0101_4*c_0101_5^7 + 2481552358/26476129*c_0101_4*c_0101_5^6 + 13634218148/79428387*c_0101_4*c_0101_5^5 - 3221394313/79428387*c_0101_4*c_0101_5^4 - 1298891980/26476129*c_0101_4*c_0101_5^3 + 407134814/79428387*c_0101_4*c_0101_5^2 + 422349974/79428387*c_0101_4*c_0101_5 - 68764502/79428387*c_0101_4, c_0101_1 + 57096374/79428387*c_0101_5^13 - 37926689/26476129*c_0101_5^12 - 887422637/79428387*c_0101_5^11 + 1486488017/79428387*c_0101_5^10 + 3860393725/79428387*c_0101_5^9 - 5282879924/79428387*c_0101_5^8 - 6701461526/79428387*c_0101_5^7 + 2776599600/26476129*c_0101_5^6 + 3112857982/79428387*c_0101_5^5 - 4591863770/79428387*c_0101_5^4 + 171979947/26476129*c_0101_5^3 + 408355006/79428387*c_0101_5^2 - 364759811/79428387*c_0101_5 + 108740399/79428387, c_0101_4^2 + 412681/79428387*c_0101_5^13 + 8706449/26476129*c_0101_5^12 - 55114081/79428387*c_0101_5^11 - 421834325/79428387*c_0101_5^10 + 655142972/79428387*c_0101_5^9 + 1977187322/79428387*c_0101_5^8 - 2233030390/79428387*c_0101_5^7 - 1284299882/26476129*c_0101_5^6 + 3401628590/79428387*c_0101_5^5 + 2628505679/79428387*c_0101_5^4 - 644198776/26476129*c_0101_5^3 - 421856185/79428387*c_0101_5^2 + 280029521/79428387*c_0101_5 - 136524761/79428387, c_0101_5^14 - 2*c_0101_5^13 - 16*c_0101_5^12 + 27*c_0101_5^11 + 75*c_0101_5^10 - 104*c_0101_5^9 - 152*c_0101_5^8 + 185*c_0101_5^7 + 122*c_0101_5^6 - 140*c_0101_5^5 - 37*c_0101_5^4 + 41*c_0101_5^3 + c_0101_5^2 - 3*c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB