Magma V2.19-8 Tue Aug 20 2013 16:19:09 on localhost [Seed = 3532869545] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3289 geometric_solution 6.41686250 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 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 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 0.327521226782 1.456135862633 0 5 4 6 0132 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.696206799300 0.675739587223 6 0 3 3 3120 0132 2310 3012 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 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.398111639932 0.559866095423 4 2 2 0 1023 3201 1230 0132 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 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 0.365197505165 0.635304628827 1 3 0 6 2310 1023 0132 1230 0 0 0 0 0 0 -1 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 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 0.849515924237 1.220715170416 5 1 5 6 2031 0132 1302 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.427523632734 0.381016137461 4 5 1 2 3012 1302 0132 3120 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 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 0 0 0.813756601409 0.436325524981 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : 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' : negation(d['c_0011_3']), 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : d['c_0110_2'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0110_2'], 'c_1100_3' : d['c_0110_2'], 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_0']), 'c_0101_4' : negation(d['c_0011_6']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : negation(d['c_0011_6']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_3'], '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_0110_5'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : d['c_0110_5'], 'c_1001_1' : d['c_0011_6'], 'c_1001_0' : negation(d['c_0101_3']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_6']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0011_6'], 'c_0110_6' : d['c_0110_2'], 'c_1010_6' : d['c_0011_0'], 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : d['c_0110_5'], 'c_1010_0' : d['c_0101_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_6, c_0101_0, c_0101_3, c_0110_2, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t + 403517/509483*c_0110_5^16 - 2756469/509483*c_0110_5^15 + 2406338/509483*c_0110_5^14 + 19336459/509483*c_0110_5^13 - 40817190/509483*c_0110_5^12 - 31014014/509483*c_0110_5^11 + 147230542/509483*c_0110_5^10 - 48735696/509483*c_0110_5^9 - 221841577/509483*c_0110_5^8 + 192536729/509483*c_0110_5^7 + 147889496/509483*c_0110_5^6 - 205726208/509483*c_0110_5^5 - 2472227/39191*c_0110_5^4 + 99020114/509483*c_0110_5^3 - 558177/39191*c_0110_5^2 - 25312229/509483*c_0110_5 + 8263950/509483, c_0011_0 - 1, c_0011_3 + 4774/39191*c_0110_5^16 - 15166/39191*c_0110_5^15 - 26803/39191*c_0110_5^14 + 126292/39191*c_0110_5^13 + 4274/39191*c_0110_5^12 - 378317/39191*c_0110_5^11 + 205738/39191*c_0110_5^10 + 556043/39191*c_0110_5^9 - 456537/39191*c_0110_5^8 - 514913/39191*c_0110_5^7 + 379265/39191*c_0110_5^6 + 403519/39191*c_0110_5^5 - 79908/39191*c_0110_5^4 - 278157/39191*c_0110_5^3 - 80640/39191*c_0110_5^2 + 91291/39191*c_0110_5 + 53930/39191, c_0011_6 + c_0110_5^2 - 1, c_0101_0 + 9408/39191*c_0110_5^16 - 41725/39191*c_0110_5^15 - 7078/39191*c_0110_5^14 + 288761/39191*c_0110_5^13 - 346480/39191*c_0110_5^12 - 555561/39191*c_0110_5^11 + 1363381/39191*c_0110_5^10 + 17625/39191*c_0110_5^9 - 2111044/39191*c_0110_5^8 + 1091934/39191*c_0110_5^7 + 1609380/39191*c_0110_5^6 - 1418110/39191*c_0110_5^5 - 681092/39191*c_0110_5^4 + 867776/39191*c_0110_5^3 + 175530/39191*c_0110_5^2 - 289008/39191*c_0110_5 - 721/39191, c_0101_3 + 5502/39191*c_0110_5^16 - 18628/39191*c_0110_5^15 - 10088/39191*c_0110_5^14 + 110612/39191*c_0110_5^13 - 132645/39191*c_0110_5^12 - 107079/39191*c_0110_5^11 + 468235/39191*c_0110_5^10 - 383877/39191*c_0110_5^9 - 419271/39191*c_0110_5^8 + 1032246/39191*c_0110_5^7 - 243628/39191*c_0110_5^6 - 1021447/39191*c_0110_5^5 + 624148/39191*c_0110_5^4 + 546685/39191*c_0110_5^3 - 381985/39191*c_0110_5^2 - 199811/39191*c_0110_5 + 101230/39191, c_0110_2 - 8023/39191*c_0110_5^16 + 38261/39191*c_0110_5^15 + 279/39191*c_0110_5^14 - 267342/39191*c_0110_5^13 + 337130/39191*c_0110_5^12 + 541321/39191*c_0110_5^11 - 1275224/39191*c_0110_5^10 - 162359/39191*c_0110_5^9 + 2000737/39191*c_0110_5^8 - 655923/39191*c_0110_5^7 - 1659439/39191*c_0110_5^6 + 784382/39191*c_0110_5^5 + 821553/39191*c_0110_5^4 - 346250/39191*c_0110_5^3 - 229496/39191*c_0110_5^2 + 75101/39191*c_0110_5 - 21051/39191, c_0110_5^17 - 4*c_0110_5^16 - 4*c_0110_5^15 + 35*c_0110_5^14 - 18*c_0110_5^13 - 111*c_0110_5^12 + 133*c_0110_5^11 + 159*c_0110_5^10 - 322*c_0110_5^9 - 85*c_0110_5^8 + 407*c_0110_5^7 - 35*c_0110_5^6 - 299*c_0110_5^5 + 70*c_0110_5^4 + 130*c_0110_5^3 - 41*c_0110_5^2 - 28*c_0110_5 + 13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB