Magma V2.19-8 Tue Aug 20 2013 16:19:02 on localhost [Seed = 4139215773] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3185 geometric_solution 6.33482077 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 3 0132 0132 0132 2031 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 1 0 -1 0 0 0 0 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.818017287226 0.700050524036 0 4 5 4 0132 0132 0132 3120 0 0 0 0 0 1 0 -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 1 0 -1 0 0 0 0 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.388914425080 0.789284980226 6 0 2 2 0132 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 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 0.364895929194 0.639452441038 5 0 6 0 2031 1302 1230 0132 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 -2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.666240123734 0.287409074327 1 1 6 5 3120 0132 3012 2031 0 0 0 0 0 -1 1 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 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.177163727501 0.946750690013 6 4 3 1 2103 1302 1302 0132 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 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.123003234815 0.651781825425 2 4 5 3 0132 1230 2103 3012 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.657570838185 1.332405835407 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : negation(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' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(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_0101_1']), 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : negation(d['c_0011_5']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_0101_2'], 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : negation(d['c_0101_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : d['c_0011_0'], '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_0101_0'], 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : d['c_0011_5'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0011_3'], '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_0011_3']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_0'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : 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_3, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 804361/1649425*c_0101_3^11 - 37416393/3298850*c_0101_3^10 + 143052698/1649425*c_0101_3^9 - 208286633/659770*c_0101_3^8 + 1952772823/3298850*c_0101_3^7 - 1567361831/3298850*c_0101_3^6 - 554575987/3298850*c_0101_3^5 + 39796952/65977*c_0101_3^4 - 508071759/1649425*c_0101_3^3 - 4210909/65977*c_0101_3^2 + 4561709/131954*c_0101_3 + 84171741/3298850, c_0011_0 - 1, c_0011_3 - 39982/65977*c_0101_3^11 + 419103/65977*c_0101_3^10 - 1754374/65977*c_0101_3^9 + 3670908/65977*c_0101_3^8 - 3561572/65977*c_0101_3^7 - 166520/65977*c_0101_3^6 + 3805388/65977*c_0101_3^5 - 3056133/65977*c_0101_3^4 + 262950/65977*c_0101_3^3 + 675080/65977*c_0101_3^2 - 118970/65977*c_0101_3 - 100221/65977, c_0011_5 + 83146/65977*c_0101_3^11 - 809983/65977*c_0101_3^10 + 3083311/65977*c_0101_3^9 - 5696018/65977*c_0101_3^8 + 4553775/65977*c_0101_3^7 + 1036297/65977*c_0101_3^6 - 4779230/65977*c_0101_3^5 + 3142004/65977*c_0101_3^4 - 684791/65977*c_0101_3^3 - 116931/65977*c_0101_3^2 - 131952/65977*c_0101_3 + 26540/65977, c_0101_0 + 20096/65977*c_0101_3^11 - 234870/65977*c_0101_3^10 + 1129897/65977*c_0101_3^9 - 2849799/65977*c_0101_3^8 + 3808489/65977*c_0101_3^7 - 1792332/65977*c_0101_3^6 - 1976295/65977*c_0101_3^5 + 3286346/65977*c_0101_3^4 - 1524039/65977*c_0101_3^3 + 15021/65977*c_0101_3^2 + 90946/65977*c_0101_3 + 68113/65977, c_0101_1 + 60640/65977*c_0101_3^11 - 616062/65977*c_0101_3^10 + 2471201/65977*c_0101_3^9 - 4862053/65977*c_0101_3^8 + 4205815/65977*c_0101_3^7 + 856483/65977*c_0101_3^6 - 4858597/65977*c_0101_3^5 + 3282551/65977*c_0101_3^4 - 167742/65977*c_0101_3^3 - 602152/65977*c_0101_3^2 + 72928/65977*c_0101_3 + 69901/65977, c_0101_2 + 5160/65977*c_0101_3^11 - 75488/65977*c_0101_3^10 + 429928/65977*c_0101_3^9 - 1241613/65977*c_0101_3^8 + 1906906/65977*c_0101_3^7 - 1265069/65977*c_0101_3^6 - 468918/65977*c_0101_3^5 + 1419077/65977*c_0101_3^4 - 949528/65977*c_0101_3^3 + 275513/65977*c_0101_3^2 - 18514/65977*c_0101_3 + 17568/65977, c_0101_3^12 - 21/2*c_0101_3^11 + 44*c_0101_3^10 - 92*c_0101_3^9 + 89*c_0101_3^8 + 7/2*c_0101_3^7 - 183/2*c_0101_3^6 + 143/2*c_0101_3^5 - 13/2*c_0101_3^4 - 23/2*c_0101_3^3 + 3*c_0101_3 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB