Magma V2.19-8 Tue Aug 20 2013 16:19:26 on localhost [Seed = 2884253335] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3537 geometric_solution 6.90932266 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 1 1 1 2 0132 1302 3012 0132 0 0 0 1 0 -1 -1 2 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 1 -1 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 0.476574173065 0.658846991249 0 0 3 0 0132 1230 0132 2031 0 0 1 0 0 0 0 0 0 0 -1 1 -1 1 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 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.739245680142 0.930503935977 4 5 0 6 0132 0132 0132 0132 0 0 0 0 0 1 -2 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 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 0.739245680142 0.930503935977 4 6 5 1 3120 2031 3120 0132 0 0 0 0 0 -1 1 0 0 0 -1 1 -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 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 0.476574173065 0.658846991249 2 4 4 3 0132 3201 2310 3120 0 0 0 0 0 0 1 -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 0 -1 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 0.624984978026 0.808023582455 5 2 3 5 3201 0132 3120 2310 0 0 0 0 0 -1 1 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 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 0.196673683198 0.799907253379 3 6 2 6 1302 1302 0132 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.625066781062 0.622406413882 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(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' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(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' : 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_6']), 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0101_5']), 'c_1100_0' : negation(d['c_0011_6']), 'c_1100_3' : negation(d['c_0101_5']), 'c_1100_2' : negation(d['c_0011_6']), 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0011_2'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : negation(d['c_0011_2']), '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' : d['c_0011_2'], 'c_1001_5' : d['c_0110_6'], 'c_1001_4' : d['c_0011_3'], 'c_1001_6' : d['c_0110_6'], 'c_1001_1' : d['c_0011_6'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : negation(d['c_0110_6']), 'c_1001_2' : d['c_0101_5'], 'c_0110_1' : d['c_0011_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : negation(d['c_0101_5']), 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0110_6'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : d['c_0101_5']})} 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_6, c_0101_1, c_0101_5, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 546299188/846238225*c_0110_6^8 - 9980363378/846238225*c_0110_6^7 + 12843387937/846238225*c_0110_6^6 + 48309922588/846238225*c_0110_6^5 - 71198453497/846238225*c_0110_6^4 - 51475667756/846238225*c_0110_6^3 + 55867886414/846238225*c_0110_6^2 + 3564184266/120891175*c_0110_6 + 34898925644/846238225, c_0011_0 - 1, c_0011_2 - 1271942/120891175*c_0110_6^8 + 27628077/120891175*c_0110_6^7 - 109773058/120891175*c_0110_6^6 - 5046567/120891175*c_0110_6^5 + 367776398/120891175*c_0110_6^4 - 109290921/120891175*c_0110_6^3 - 349649351/120891175*c_0110_6^2 - 40978358/120891175*c_0110_6 + 16516679/120891175, c_0011_3 + 1366219/120891175*c_0110_6^8 - 29429814/120891175*c_0110_6^7 + 119758681/120891175*c_0110_6^6 - 113523756/120891175*c_0110_6^5 - 47271911/120891175*c_0110_6^4 + 113736872/120891175*c_0110_6^3 - 144414818/120891175*c_0110_6^2 + 91117881/120891175*c_0110_6 + 13003447/120891175, c_0011_6 + 3466416/120891175*c_0110_6^8 - 66788146/120891175*c_0110_6^7 + 155813659/120891175*c_0110_6^6 + 10824866/120891175*c_0110_6^5 - 247807704/120891175*c_0110_6^4 + 69574333/120891175*c_0110_6^3 + 106248298/120891175*c_0110_6^2 + 9997309/120891175*c_0110_6 + 49455408/120891175, c_0101_1 - 1, c_0101_5 - 3466416/120891175*c_0110_6^8 + 66788146/120891175*c_0110_6^7 - 155813659/120891175*c_0110_6^6 - 10824866/120891175*c_0110_6^5 + 247807704/120891175*c_0110_6^4 - 69574333/120891175*c_0110_6^3 - 106248298/120891175*c_0110_6^2 - 9997309/120891175*c_0110_6 + 71435767/120891175, c_0110_6^9 - 20*c_0110_6^8 + 58*c_0110_6^7 - 10*c_0110_6^6 - 108*c_0110_6^5 + 54*c_0110_6^4 + 46*c_0110_6^3 + 7*c_0110_6^2 + 2*c_0110_6 - 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB