Magma V2.19-8 Tue Aug 20 2013 16:18:52 on localhost [Seed = 1343343911] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3037 geometric_solution 6.20845654 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 1 2 3 2 0132 0132 0132 1230 0 0 1 0 0 -1 0 1 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 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 0.723178705665 1.054254131383 0 4 4 3 0132 0132 1302 1302 0 0 0 1 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 0 1 -1 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 0.557537105369 0.645024986209 0 0 4 5 3012 0132 0132 0132 0 0 0 1 0 1 -1 0 -1 0 1 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 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 0.232998513860 0.887358201374 3 3 1 0 1230 3012 2031 0132 0 0 0 0 0 -1 1 0 1 0 -1 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 1 0 -1 -1 0 1 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 0.332021709224 0.643547019183 1 1 5 2 2031 0132 3201 0132 0 0 1 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 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 0.232998513860 0.887358201374 4 6 2 6 2310 0132 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.502089649799 1.869308765292 6 5 6 5 2031 0132 1302 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.409098812969 0.164883234488 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(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' : d['1'], 's_1_1' : negation(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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_5'], 'c_1100_5' : negation(d['c_0011_5']), '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_5'], 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : negation(d['c_0011_5']), 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0011_3'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_5']), '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_3']), 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_6' : d['c_0110_6'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0101_3']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_0101_2'], 'c_0110_1' : d['c_0011_3'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : negation(d['c_0101_3']), 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : d['c_0110_6'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : negation(d['c_0101_5']), 'c_1010_0' : d['c_0101_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_0101_2, c_0101_3, c_0101_5, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 86509912/10599435*c_0110_6^7 + 2515582/65835*c_0110_6^6 - 818315039/10599435*c_0110_6^5 - 2272749317/10599435*c_0110_6^4 + 973116149/2119887*c_0110_6^3 + 10372906442/10599435*c_0110_6^2 + 1786704104/3533145*c_0110_6 + 1140081409/10599435, c_0011_0 - 1, c_0011_3 - 1, c_0011_5 - 5615/266266*c_0110_6^7 + 271/2926*c_0110_6^6 - 18916/133133*c_0110_6^5 - 15231/20482*c_0110_6^4 + 188767/133133*c_0110_6^3 + 418994/133133*c_0110_6^2 + 11950/10241*c_0110_6 - 106013/266266, c_0101_2 + 42677/266266*c_0110_6^7 - 2671/2926*c_0110_6^6 + 324586/133133*c_0110_6^5 + 35583/20482*c_0110_6^4 - 1417469/133133*c_0110_6^3 - 1187441/133133*c_0110_6^2 - 1685/10241*c_0110_6 + 113369/266266, c_0101_3 + 8395/266266*c_0110_6^7 - 327/1463*c_0110_6^6 + 101546/133133*c_0110_6^5 - 10313/20482*c_0110_6^4 - 570261/266266*c_0110_6^3 + 475243/266266*c_0110_6^2 + 2705/20482*c_0110_6 - 75637/133133, c_0101_5 + 192/1001*c_0110_6^7 - 25/22*c_0110_6^6 + 3204/1001*c_0110_6^5 + 95/77*c_0110_6^4 - 25603/2002*c_0110_6^3 - 14283/2002*c_0110_6^2 - 5/154*c_0110_6 - 285/2002, c_0110_6^8 - 5*c_0110_6^7 + 11*c_0110_6^6 + 23*c_0110_6^5 - 64*c_0110_6^4 - 101*c_0110_6^3 - 27*c_0110_6^2 + 2*c_0110_6 + 3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB