Magma V2.19-8 Tue Aug 20 2013 23:45:22 on localhost [Seed = 695160039] Type ? for help. Type -D to quit. Loading file "L14n9255__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n9255 geometric_solution 10.92939669 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 3 0132 0132 0132 2310 1 1 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 0 0 0 0 0 0 0 0 0 -1 1 12 0 -12 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 0.628309906934 0.794458248489 0 4 6 5 0132 0132 0132 0132 1 1 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 0 0 0 -1 0 1 -12 0 1 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.479914290946 0.757607957683 7 0 5 8 0132 0132 3201 0132 1 1 1 1 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 1 -1 0 0 11 0 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.498011261127 1.253797310549 0 5 7 0 3201 0321 1230 0132 1 1 1 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 -1 0 1 0 0 -12 12 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.483142688179 1.032679377207 9 1 10 10 0132 0132 0132 3120 1 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 -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 0.442611476409 0.844977542510 2 8 1 3 2310 1023 0132 0321 1 1 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 0 0 0 0 0 0 0 0 0 -1 1 11 0 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.498011261127 1.253797310549 9 9 10 1 2031 0321 0321 0132 1 1 1 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 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 0.442611476409 0.844977542510 2 9 10 3 0132 0132 3012 3012 1 1 1 1 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 -11 -1 0 12 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.479914290946 0.757607957683 5 8 2 8 1023 1302 0132 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.025931896687 0.856533342792 4 7 6 6 0132 0132 1302 0321 1 0 1 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 1 0 -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 0.442611476409 0.844977542510 4 7 6 4 3120 1230 0321 0132 1 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 1 -1 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.543969336640 0.824634619877 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_0101_7'], 'c_1001_4' : d['c_0101_7'], 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : negation(d['c_0101_10']), 'c_1001_1' : negation(d['c_0011_10']), 'c_1001_0' : d['c_0110_8'], 'c_1001_3' : d['c_1001_10'], 'c_1001_2' : negation(d['c_0101_0']), 'c_1001_9' : d['c_0101_1'], 'c_1001_8' : d['c_0110_8'], 'c_1010_10' : d['c_0101_7'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], '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_2_7' : d['1'], 's_2_10' : d['1'], 's_0_8' : d['1'], 's_0_9' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(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_9' : negation(d['c_0101_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1001_10'], 'c_1100_4' : negation(d['c_0101_10']), 'c_1100_7' : negation(d['c_1001_10']), 'c_1100_6' : d['c_1001_10'], 'c_1100_1' : d['c_1001_10'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : negation(d['c_0011_5']), 'c_1100_10' : negation(d['c_0101_10']), 'c_1010_7' : d['c_0101_1'], 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : d['c_0110_8'], 'c_1010_4' : negation(d['c_0011_10']), 'c_1010_3' : d['c_0110_8'], 'c_1010_2' : d['c_0110_8'], 'c_1010_1' : d['c_0101_7'], 'c_1010_0' : negation(d['c_0101_0']), 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : d['c_0011_5'], 'c_1100_8' : negation(d['c_0011_5']), '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_3_7' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : negation(d['1']), 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : negation(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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_0']), 'c_0011_8' : d['c_0011_5'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : 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_0110_10' : negation(d['c_0011_6']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0101_10']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_6']), 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_6']), 'c_0101_8' : d['c_0101_7'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_6']), 'c_0110_8' : d['c_0110_8'], '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_7'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_7' : d['c_0011_3'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_5, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_7, c_0110_8, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t + 866503/3748*c_0110_8^4 + 1060849/1874*c_0110_8^3 + 2372983/3748*c_0110_8^2 + 1959873/3748*c_0110_8 + 234409/1874, c_0011_0 - 1, c_0011_10 + 792/937*c_0110_8^4 + 2672/937*c_0110_8^3 + 3234/937*c_0110_8^2 + 1738/937*c_0110_8 + 1246/937, c_0011_3 - 814/937*c_0110_8^4 - 1601/937*c_0110_8^3 - 669/937*c_0110_8^2 - 589/937*c_0110_8 + 229/937, c_0011_5 - 539/937*c_0110_8^4 + 472/937*c_0110_8^3 + 532/937*c_0110_8^2 - 428/937*c_0110_8 + 63/937, c_0011_6 + 1, c_0101_0 + 814/937*c_0110_8^4 + 1601/937*c_0110_8^3 + 669/937*c_0110_8^2 + 589/937*c_0110_8 - 229/937, c_0101_1 + 792/937*c_0110_8^4 + 2672/937*c_0110_8^3 + 3234/937*c_0110_8^2 + 1738/937*c_0110_8 + 309/937, c_0101_10 - 1, c_0101_7 - 792/937*c_0110_8^4 - 2672/937*c_0110_8^3 - 3234/937*c_0110_8^2 - 1738/937*c_0110_8 - 309/937, c_0110_8^5 + 20/11*c_0110_8^4 + 19/11*c_0110_8^3 + 15/11*c_0110_8^2 + 2/11, c_1001_10 + 1 ], Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_5, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_7, c_0110_8, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 10855623/3311648*c_0110_8^6 - 163109649/6623296*c_0110_8^5 - 272113817/3311648*c_0110_8^4 - 718998891/6623296*c_0110_8^3 - 282044703/6623296*c_0110_8^2 + 76082267/1655824*c_0110_8 + 114092303/3311648, c_0011_0 - 1, c_0011_10 + 28631/103489*c_0110_8^6 - 500225/206978*c_0110_8^5 - 420961/103489*c_0110_8^4 - 694859/206978*c_0110_8^3 + 294981/206978*c_0110_8^2 + 250588/103489*c_0110_8 - 221451/103489, c_0011_3 + 20256/103489*c_0110_8^6 - 163360/103489*c_0110_8^5 - 414466/103489*c_0110_8^4 - 459195/103489*c_0110_8^3 - 119565/103489*c_0110_8^2 + 70321/103489*c_0110_8 - 75291/103489, c_0011_5 + 5301/103489*c_0110_8^6 - 104631/206978*c_0110_8^5 - 17024/103489*c_0110_8^4 - 102613/206978*c_0110_8^3 - 1425/206978*c_0110_8^2 - 13830/103489*c_0110_8 - 22202/103489, c_0011_6 + 1, c_0101_0 - 20256/103489*c_0110_8^6 + 163360/103489*c_0110_8^5 + 414466/103489*c_0110_8^4 + 459195/103489*c_0110_8^3 + 119565/103489*c_0110_8^2 - 70321/103489*c_0110_8 + 75291/103489, c_0101_1 + 28631/103489*c_0110_8^6 - 500225/206978*c_0110_8^5 - 420961/103489*c_0110_8^4 - 694859/206978*c_0110_8^3 + 294981/206978*c_0110_8^2 + 250588/103489*c_0110_8 - 117962/103489, c_0101_10 + 1, c_0101_7 - 28631/103489*c_0110_8^6 + 500225/206978*c_0110_8^5 + 420961/103489*c_0110_8^4 + 694859/206978*c_0110_8^3 - 294981/206978*c_0110_8^2 - 250588/103489*c_0110_8 + 117962/103489, c_0110_8^7 - 15/2*c_0110_8^6 - 25*c_0110_8^5 - 69/2*c_0110_8^4 - 37/2*c_0110_8^3 + 4*c_0110_8^2 + c_0110_8 - 4, c_1001_10 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.250 seconds, Total memory usage: 32.09MB