Magma V2.19-8 Tue Aug 20 2013 23:39:41 on localhost [Seed = 4206665404] Type ? for help. Type -D to quit. Loading file "K14n12942__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n12942 geometric_solution 9.68989925 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 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 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 0.501234315091 0.643234995013 0 5 7 6 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.969833799843 0.578463547476 8 0 10 9 0132 0132 0132 0132 0 0 0 0 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 -1 0 1 1 0 0 -1 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.485683665433 0.501388338022 8 4 5 0 2031 1023 0321 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 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 0.622574684070 0.679495778315 3 9 0 6 1023 2031 0132 0321 0 0 0 0 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 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 0.089582436510 1.135244944573 10 1 3 7 2310 0132 0321 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.389035141642 0.596232281279 9 4 1 10 1230 0321 0132 3120 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 0 0 0 0 -2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.116006327073 0.841123495848 5 7 7 1 3012 1230 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.960791684914 0.847923533736 2 9 3 10 0132 2310 1302 0321 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 -1 0 0 1 0 1 0 -1 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.265005611623 1.128708178115 4 6 2 8 1302 3012 0132 3201 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 -1 1 0 0 1 -1 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.060495394066 0.634078007337 6 8 5 2 3120 0321 3201 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 0 0 0 0 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.908940617244 0.482689009851 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0101_3'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0110_9']), 'c_1001_7' : negation(d['c_0011_7']), 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_0101_7'], 'c_1001_0' : negation(d['c_0011_6']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0110_9']), 'c_1001_9' : negation(d['c_0011_6']), 'c_1001_8' : d['c_0101_0'], 'c_1010_10' : negation(d['c_0110_9']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : negation(d['c_0011_7']), '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_2_7' : d['1'], 's_2_10' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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_9' : negation(d['c_0011_0']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0101_1'], 'c_1100_4' : d['c_1001_5'], 'c_1100_7' : d['c_0011_7'], 'c_1100_6' : d['c_0011_7'], 'c_1100_1' : d['c_0011_7'], 'c_1100_0' : d['c_1001_5'], 'c_1100_3' : d['c_1001_5'], 'c_1100_2' : negation(d['c_0011_0']), 'c_1100_10' : negation(d['c_0011_0']), 'c_1010_7' : d['c_0101_7'], 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : d['c_0101_7'], 'c_1010_4' : negation(d['c_0011_10']), 'c_1010_3' : negation(d['c_0011_6']), 'c_1010_2' : negation(d['c_0011_6']), 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : negation(d['c_0110_9']), 'c_1010_9' : negation(d['c_0101_0']), 'c_1010_8' : negation(d['c_0110_9']), 'c_1100_8' : d['c_0101_3'], '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' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_10']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_3'], 'c_0011_7' : d['c_0011_7'], '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_10']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_10']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_3']), 'c_0101_8' : negation(d['c_0011_3']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0011_7'], 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_10'])})} 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_6, c_0011_7, c_0101_0, c_0101_1, c_0101_3, c_0101_7, c_0110_9, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 484592673776897024/522058340648889*c_1001_5^9 - 335047682333920256/174019446882963*c_1001_5^8 - 36922253822488576/47459849149899*c_1001_5^7 + 12324511381359616/1884687150357*c_1001_5^6 + 9189848096193876992/522058340648889*c_1001_5^5 - 27605659889274112/2148388233123*c_1001_5^4 - 231495277863225472/174019446882963*c_1001_5^3 + 596554195756455872/174019446882963*c_1001_5^2 + 346146060515795648/174019446882963*c_1001_5 + 125675079581974048/522058340648889, c_0011_0 - 1, c_0011_10 + 26358608/116703147*c_1001_5^9 + 105715568/116703147*c_1001_5^8 - 132081240/38901049*c_1001_5^7 + 164872/140437*c_1001_5^6 + 151421644/10609377*c_1001_5^5 + 2382096556/116703147*c_1001_5^4 - 3049545322/116703147*c_1001_5^3 + 448549172/116703147*c_1001_5^2 + 747288742/116703147*c_1001_5 + 159527492/116703147, c_0011_3 - 1443750224/116703147*c_1001_5^9 + 3078437552/116703147*c_1001_5^8 + 1044919936/116703147*c_1001_5^7 - 37085624/421311*c_1001_5^6 - 2434342432/10609377*c_1001_5^5 + 21649387084/116703147*c_1001_5^4 + 1013322548/116703147*c_1001_5^3 - 5874097942/116703147*c_1001_5^2 - 2875850942/116703147*c_1001_5 - 151197567/38901049, c_0011_6 + 7724720/624081*c_1001_5^9 - 5500688/208027*c_1001_5^8 - 5432984/624081*c_1001_5^7 + 197344/2253*c_1001_5^6 + 143258300/624081*c_1001_5^5 - 38568200/208027*c_1001_5^4 - 1376346/208027*c_1001_5^3 + 9253936/208027*c_1001_5^2 + 5627439/208027*c_1001_5 + 1801324/624081, c_0011_7 + 750520736/116703147*c_1001_5^9 - 1663119440/116703147*c_1001_5^8 - 117370672/38901049*c_1001_5^7 + 18906512/421311*c_1001_5^6 + 409022164/3536459*c_1001_5^5 - 12015090260/116703147*c_1001_5^4 + 1274556160/116703147*c_1001_5^3 + 1798070660/116703147*c_1001_5^2 + 1723609070/116703147*c_1001_5 + 168681353/116703147, c_0101_0 + 26358608/116703147*c_1001_5^9 + 105715568/116703147*c_1001_5^8 - 132081240/38901049*c_1001_5^7 + 164872/140437*c_1001_5^6 + 151421644/10609377*c_1001_5^5 + 2382096556/116703147*c_1001_5^4 - 3049545322/116703147*c_1001_5^3 + 448549172/116703147*c_1001_5^2 + 630585595/116703147*c_1001_5 + 159527492/116703147, c_0101_1 - 1443750224/116703147*c_1001_5^9 + 3078437552/116703147*c_1001_5^8 + 1044919936/116703147*c_1001_5^7 - 37085624/421311*c_1001_5^6 - 2434342432/10609377*c_1001_5^5 + 21649387084/116703147*c_1001_5^4 + 1013322548/116703147*c_1001_5^3 - 5874097942/116703147*c_1001_5^2 - 2875850942/116703147*c_1001_5 - 112296518/38901049, c_0101_3 - 1799023696/116703147*c_1001_5^9 + 1292292432/38901049*c_1001_5^8 + 1202984936/116703147*c_1001_5^7 - 46221128/421311*c_1001_5^6 - 1002108276/3536459*c_1001_5^5 + 27649482884/116703147*c_1001_5^4 + 146038784/38901049*c_1001_5^3 - 7070370842/116703147*c_1001_5^2 - 1135870954/38901049*c_1001_5 - 88168011/38901049, c_0101_7 - 125796800/6864891*c_1001_5^9 + 88261296/2288297*c_1001_5^8 + 33542120/2288297*c_1001_5^7 - 3239992/24783*c_1001_5^6 - 214456004/624081*c_1001_5^5 + 1838776160/6864891*c_1001_5^4 + 59859900/2288297*c_1001_5^3 - 546009746/6864891*c_1001_5^2 - 87237500/2288297*c_1001_5 - 24851510/6864891, c_0110_9 - 1443750224/116703147*c_1001_5^9 + 3078437552/116703147*c_1001_5^8 + 1044919936/116703147*c_1001_5^7 - 37085624/421311*c_1001_5^6 - 2434342432/10609377*c_1001_5^5 + 21649387084/116703147*c_1001_5^4 + 1013322548/116703147*c_1001_5^3 - 5874097942/116703147*c_1001_5^2 - 2875850942/116703147*c_1001_5 - 73395469/38901049, c_1001_5^10 - 2*c_1001_5^9 - c_1001_5^8 + 7*c_1001_5^7 + 39/2*c_1001_5^6 - 25/2*c_1001_5^5 - 21/8*c_1001_5^4 + 15/4*c_1001_5^3 + 21/8*c_1001_5^2 + 1/2*c_1001_5 + 1/32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.240 Total time: 0.450 seconds, Total memory usage: 32.09MB