Magma V2.19-8 Tue Aug 20 2013 16:18:44 on localhost [Seed = 1326371386] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2905 geometric_solution 6.11036804 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 3120 0132 0132 0 0 0 0 0 -1 0 1 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 -1 0 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 0.945301414153 1.071927282166 0 0 5 4 0132 3120 0132 0132 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 1 0 0 -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 0.593836153083 0.485518144734 4 5 4 0 0132 3012 2031 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.371462026566 0.658091078193 6 4 0 6 0132 3120 0132 1023 0 0 0 0 0 0 -1 1 -1 0 1 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 0.478238233519 0.434318418825 2 3 1 2 0132 3120 0132 1302 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 0 -1 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 1.303720002276 0.874663855094 2 5 5 1 1230 1230 3012 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 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 0.990708373101 0.825192935194 3 6 6 3 0132 3201 2310 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.258273190226 0.686211619365 ==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' : negation(d['1']), 's_1_0' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_5'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_2'], 'c_0101_2' : d['c_0011_5'], 'c_0101_1' : d['c_0011_2'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : negation(d['c_0011_3']), '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' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : negation(d['c_0101_5']), 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : negation(d['c_0011_5']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_2'], 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_2'], 'c_0110_4' : d['c_0011_5'], 'c_0110_6' : d['c_0011_2'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0011_2'], 'c_1010_2' : negation(d['c_0101_5']), 'c_1010_1' : negation(d['c_0011_0']), '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_2, c_0011_3, c_0011_5, c_0101_0, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 265/6*c_0101_5*c_0101_6 - 989/6*c_0101_5, c_0011_0 - 1, c_0011_2 + c_0101_6 - 1, c_0011_3 - c_0101_5, c_0011_5 + c_0101_6, c_0101_0 - c_0101_5*c_0101_6 + 2*c_0101_5, c_0101_5^2 - c_0101_6, c_0101_6^2 - 4*c_0101_6 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_3, c_0011_5, c_0101_0, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 2268377660/60657107*c_0101_5*c_0101_6^9 + 106649783/60657107*c_0101_5*c_0101_6^8 - 8501864061/60657107*c_0101_5*c_0101_6^7 - 27917816798/60657107*c_0101_5*c_0101_6^6 - 34885766388/60657107*c_0101_5*c_0101_6^5 - 24017065928/60657107*c_0101_5*c_0101_6^4 - 4841705653/60657107*c_0101_5*c_0101_6^3 + 6378347799/60657107*c_0101_5*c_0101_6^2 + 5461266221/60657107*c_0101_5*c_0101_6 + 2223172180/60657107*c_0101_5, c_0011_0 - 1, c_0011_2 + 99950/55193*c_0101_6^9 - 26230/55193*c_0101_6^8 - 408102/55193*c_0101_6^7 - 1083365/55193*c_0101_6^6 - 1020826/55193*c_0101_6^5 - 344425/55193*c_0101_6^4 + 180787/55193*c_0101_6^3 + 174068/55193*c_0101_6^2 - 57286/55193*c_0101_6 - 19992/55193, c_0011_3 + 4627955/8665301*c_0101_5*c_0101_6^9 - 9871096/8665301*c_0101_5*c_0101_6^8 - 11562558/8665301*c_0101_5*c_0101_6^7 - 19932907/8665301*c_0101_5*c_0101_6^6 + 25985601/8665301*c_0101_5*c_0101_6^5 + 38870396/8665301*c_0101_5*c_0101_6^4 + 21667003/8665301*c_0101_5*c_0101_6^3 + 6548552/8665301*c_0101_5*c_0101_6^2 - 9942716/8665301*c_0101_5*c_0101_6 + 4287015/8665301*c_0101_5, c_0011_5 - 8433925/8665301*c_0101_6^9 + 7073015/8665301*c_0101_6^8 + 27849189/8665301*c_0101_6^7 + 79254347/8665301*c_0101_6^6 + 47701386/8665301*c_0101_6^5 + 14116170/8665301*c_0101_6^4 - 16419684/8665301*c_0101_6^3 - 673311/8665301*c_0101_6^2 + 5018174/8665301*c_0101_6 - 2300775/8665301, c_0101_0 - 20320105/8665301*c_0101_5*c_0101_6^9 + 13989206/8665301*c_0101_5*c_0101_6^8 + 75634572/8665301*c_0101_5*c_0101_6^7 + 190021212/8665301*c_0101_5*c_0101_6^6 + 134284081/8665301*c_0101_5*c_0101_6^5 + 15204329/8665301*c_0101_5*c_0101_6^4 - 50050562/8665301*c_0101_5*c_0101_6^3 - 33877228/8665301*c_0101_5*c_0101_6^2 + 18936618/8665301*c_0101_5*c_0101_6 - 1148271/8665301*c_0101_5, c_0101_5^2 - 7721945/8665301*c_0101_6^9 + 3660264/8665301*c_0101_6^8 + 29692771/8665301*c_0101_6^7 + 74368942/8665301*c_0101_6^6 + 76219095/8665301*c_0101_6^5 + 25353911/8665301*c_0101_6^4 - 2356430/8665301*c_0101_6^3 - 17935237/8665301*c_0101_6^2 + 6873493/8665301*c_0101_6 - 4494/8665301, c_0101_6^10 - 1/5*c_0101_6^9 - 19/5*c_0101_6^8 - 57/5*c_0101_6^7 - 12*c_0101_6^6 - 31/5*c_0101_6^5 + 2/5*c_0101_6^4 + 9/5*c_0101_6^3 - 2/5*c_0101_6^2 - 2/5*c_0101_6 - 1/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB