Magma V2.19-8 Tue Aug 20 2013 16:14:12 on localhost [Seed = 374835768] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s172 geometric_solution 4.26773649 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 1 0 1 0 0132 1302 1023 2031 0 0 0 0 0 -1 0 1 0 0 -1 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 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 0.638566533186 0.046026769391 0 2 0 2 0132 0132 1023 1023 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 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 0.701341691904 0.125298190042 3 1 4 1 0132 0132 0132 1023 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 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 0.703817450023 0.483724740300 2 5 4 4 0132 0132 3012 2310 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.830352226752 1.154620040186 3 3 5 2 3201 1230 1023 0132 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 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 0.830352226752 1.154620040186 5 3 4 5 3201 0132 1023 2310 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 1 0 -1 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 0.312346146911 1.043829985587 ==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' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_0' : 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_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' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : negation(d['c_0011_0']), 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : negation(d['c_0101_2']), '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_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : d['c_0011_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 75585779/73962080*c_0101_3^12 - 59743191/36981040*c_0101_3^11 - 878058897/73962080*c_0101_3^10 + 14088239/4622630*c_0101_3^9 + 138202675/3698104*c_0101_3^8 - 194486129/36981040*c_0101_3^7 - 834881103/14792416*c_0101_3^6 + 424041689/14792416*c_0101_3^5 + 2218834493/36981040*c_0101_3^4 - 4014486031/73962080*c_0101_3^3 - 706449235/14792416*c_0101_3^2 + 495812015/14792416*c_0101_3 + 304547349/18490520, c_0011_0 - 1, c_0011_4 - 172333/1849052*c_0101_3^12 + 16323/924526*c_0101_3^11 + 2716975/1849052*c_0101_3^10 + 305188/462263*c_0101_3^9 - 2344124/462263*c_0101_3^8 - 1471395/924526*c_0101_3^7 + 15960853/1849052*c_0101_3^6 - 2740235/1849052*c_0101_3^5 - 10009207/924526*c_0101_3^4 + 10714013/1849052*c_0101_3^3 + 16341453/1849052*c_0101_3^2 - 7916481/1849052*c_0101_3 - 1025081/462263, c_0101_0 - 46917/462263*c_0101_3^12 - 11096/462263*c_0101_3^11 + 705086/462263*c_0101_3^10 + 678477/462263*c_0101_3^9 - 1969069/462263*c_0101_3^8 - 1726545/462263*c_0101_3^7 + 3383631/462263*c_0101_3^6 + 1245865/462263*c_0101_3^5 - 5311861/462263*c_0101_3^4 - 131877/462263*c_0101_3^3 + 5327727/462263*c_0101_3^2 - 326775/462263*c_0101_3 - 1984523/462263, c_0101_1 + 44701/924526*c_0101_3^12 - 96178/462263*c_0101_3^11 - 163015/924526*c_0101_3^10 + 547470/462263*c_0101_3^9 + 44134/462263*c_0101_3^8 - 1526489/462263*c_0101_3^7 + 409025/924526*c_0101_3^6 + 3984351/924526*c_0101_3^5 - 1315081/462263*c_0101_3^4 - 2935237/924526*c_0101_3^3 + 4310995/924526*c_0101_3^2 + 961979/924526*c_0101_3 - 700892/462263, c_0101_2 - 98394/462263*c_0101_3^12 + 153252/462263*c_0101_3^11 + 1073752/462263*c_0101_3^10 - 82007/462263*c_0101_3^9 - 3003847/462263*c_0101_3^8 - 248054/462263*c_0101_3^7 + 4146529/462263*c_0101_3^6 - 1276143/462263*c_0101_3^5 - 4879687/462263*c_0101_3^4 + 2671785/462263*c_0101_3^3 + 4355934/462263*c_0101_3^2 - 1117069/462263*c_0101_3 - 1626915/462263, c_0101_3^13 - 2*c_0101_3^12 - 11*c_0101_3^11 + 8*c_0101_3^10 + 36*c_0101_3^9 - 22*c_0101_3^8 - 57*c_0101_3^7 + 55*c_0101_3^6 + 54*c_0101_3^5 - 85*c_0101_3^4 - 29*c_0101_3^3 + 65*c_0101_3^2 + 4*c_0101_3 - 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB