Magma V2.19-8 Tue Aug 20 2013 16:19:14 on localhost [Seed = 829467702] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3349 geometric_solution 6.49881864 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 3 0132 0132 0132 2310 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 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 1.123597369410 0.882039826343 0 4 2 2 0132 0132 2031 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.392371131729 0.937408919162 5 0 1 1 0132 0132 2031 1302 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 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 0.392371131729 0.937408919162 0 5 4 0 3201 2310 1023 0132 0 0 0 0 0 0 0 0 0 0 -1 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 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 0.947634645430 0.821679470657 5 1 3 6 1023 0132 1023 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.052365354570 0.821679470657 2 4 6 3 0132 1023 0132 3201 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 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 -0.052365354570 0.821679470657 6 6 4 5 1302 2031 0132 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 1 0 0 -1 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.397626763424 0.522308597047 ==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' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(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' : negation(d['1']), 's_1_1' : 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' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0101_1'], 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : negation(d['c_0101_1']), '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_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' : d['c_0011_6'], 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0101_5']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0101_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_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 6*c_0101_5^5 - 40*c_0101_5^4 + 57*c_0101_5^3 - 23*c_0101_5^2 + 4, c_0011_0 - 1, c_0011_3 + c_0101_5^5 - 7*c_0101_5^4 + 13*c_0101_5^3 - 15*c_0101_5^2 + 10*c_0101_5 - 4, c_0011_6 + 3*c_0101_5^5 - 20*c_0101_5^4 + 32*c_0101_5^3 - 32*c_0101_5^2 + 19*c_0101_5 - 6, c_0101_0 - 3*c_0101_5^5 + 19*c_0101_5^4 - 26*c_0101_5^3 + 26*c_0101_5^2 - 14*c_0101_5 + 4, c_0101_1 + c_0101_5^5 - 6*c_0101_5^4 + 7*c_0101_5^3 - 8*c_0101_5^2 + 4*c_0101_5 - 1, c_0101_2 + c_0101_5^5 - 6*c_0101_5^4 + 7*c_0101_5^3 - 8*c_0101_5^2 + 4*c_0101_5 - 1, c_0101_5^6 - 7*c_0101_5^5 + 13*c_0101_5^4 - 15*c_0101_5^3 + 11*c_0101_5^2 - 5*c_0101_5 + 1 ], 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_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 8133973479/14643608*c_0101_5^8 + 2493688023/1045972*c_0101_5^7 + 150431685/36068*c_0101_5^6 + 4540550665/1045972*c_0101_5^5 + 47100268693/14643608*c_0101_5^4 + 6080075959/3660902*c_0101_5^3 + 9005221125/14643608*c_0101_5^2 + 4346890525/7321804*c_0101_5 + 830913718/1830451, c_0011_0 - 1, c_0011_3 - 347139/126238*c_0101_5^8 - 185283/18034*c_0101_5^7 - 1003188/63119*c_0101_5^6 - 919630/63119*c_0101_5^5 - 153635/18034*c_0101_5^4 - 406345/126238*c_0101_5^3 - 89661/126238*c_0101_5^2 - 255543/126238*c_0101_5 - 59707/63119, c_0011_6 + 141831/126238*c_0101_5^8 + 583119/126238*c_0101_5^7 + 471447/63119*c_0101_5^6 + 447270/63119*c_0101_5^5 + 728435/126238*c_0101_5^4 + 489543/126238*c_0101_5^3 + 214493/126238*c_0101_5^2 + 223837/126238*c_0101_5 + 51097/63119, c_0101_0 + 133029/36068*c_0101_5^8 + 1835955/126238*c_0101_5^7 + 2811435/126238*c_0101_5^6 + 2541503/126238*c_0101_5^5 + 3321097/252476*c_0101_5^4 + 351122/63119*c_0101_5^3 + 415313/252476*c_0101_5^2 + 58797/18034*c_0101_5 + 112517/63119, c_0101_1 - 11583/9017*c_0101_5^8 - 213084/63119*c_0101_5^7 - 167976/63119*c_0101_5^6 - 93276/63119*c_0101_5^5 - 17068/63119*c_0101_5^4 + 19412/63119*c_0101_5^3 + 3237/63119*c_0101_5^2 - 56423/63119*c_0101_5 + 1495/9017, c_0101_2 - 11583/9017*c_0101_5^8 - 213084/63119*c_0101_5^7 - 167976/63119*c_0101_5^6 - 93276/63119*c_0101_5^5 - 17068/63119*c_0101_5^4 + 19412/63119*c_0101_5^3 + 3237/63119*c_0101_5^2 - 56423/63119*c_0101_5 + 1495/9017, c_0101_5^9 + 14/3*c_0101_5^8 + 82/9*c_0101_5^7 + 286/27*c_0101_5^6 + 233/27*c_0101_5^5 + 136/27*c_0101_5^4 + 19/9*c_0101_5^3 + 38/27*c_0101_5^2 + 32/27*c_0101_5 + 8/27 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB