Magma V2.19-8 Wed Aug 21 2013 00:54:55 on localhost [Seed = 525927773] Type ? for help. Type -D to quit. Loading file "L12n743__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n743 geometric_solution 12.14829115 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 1 0132 0132 0132 3201 1 0 1 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 -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 0.322688781299 0.674904642309 0 0 5 4 0132 2310 0132 0132 1 0 0 1 0 -1 1 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 -1 0 0 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 0.173831738332 0.903386879504 3 0 4 6 2310 0132 2310 0132 1 0 0 1 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 1 -1 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 0.602764740121 1.444596395728 7 5 2 0 0132 2031 3201 0132 1 0 0 0 0 0 -1 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 0 0 0 -2 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 0.115750418239 1.235485638457 8 2 1 9 0132 3201 0132 0132 1 0 1 0 0 1 0 -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 0 0 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 0 0 0 0 0.001339190430 1.409884784729 3 6 10 1 1302 2103 0132 0132 1 0 1 0 0 0 1 -1 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 1 0 -1 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 0.221856383825 1.204584934212 11 5 2 9 0132 2103 0132 3201 1 0 1 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 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.289519884207 0.542254869197 3 12 11 10 0132 0132 3120 0321 1 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 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 0 0 0 -0.060540089206 1.736310352706 4 9 12 11 0132 1023 1230 2103 0 0 0 1 0 -1 1 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 -2 2 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 0.428070672856 1.175155742810 8 6 4 10 1023 2310 0132 0132 1 0 0 1 0 0 1 -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 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.193667829828 0.556657393479 12 7 9 5 0321 0321 0132 0132 1 0 0 0 0 0 1 -1 0 0 0 0 1 0 0 -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 1 0 0 -1 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.811315441803 0.694529043210 6 12 7 8 0132 1230 3120 2103 0 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 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 0.939459910794 1.736310352706 10 7 11 8 0321 0132 3012 3012 1 0 0 0 0 0 0 0 1 0 0 -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 2 0 0 -2 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.469729955397 0.868155176353 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_8'], 'c_1001_10' : negation(d['c_0101_11']), 'c_1001_12' : negation(d['c_0011_11']), 'c_1001_5' : negation(d['c_0011_11']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_7' : negation(d['c_0101_8']), 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_5'], 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_1001_1']), 'c_1001_9' : d['c_1001_1'], 'c_1001_8' : d['c_0101_8'], 'c_1010_12' : negation(d['c_0101_8']), 'c_1010_11' : negation(d['c_0101_10']), 'c_1010_10' : negation(d['c_0011_11']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], '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_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : 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_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0011_10']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : negation(d['c_0101_11']), 'c_1100_6' : d['c_0011_4'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_4'], 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_1'], 'c_1100_11' : negation(d['c_0101_0']), 'c_1100_10' : d['c_1100_1'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_11']), 'c_1010_6' : negation(d['c_1001_1']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : d['c_0011_5'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_1001_1']), 'c_1010_9' : negation(d['c_0101_11']), 'c_1010_8' : d['c_0101_10'], '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'], 'c_1100_12' : negation(d['c_0101_8']), '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_4']), 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : negation(d['c_0011_11']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_12'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_10'], 'c_0110_10' : negation(d['c_0011_12']), 'c_0110_12' : negation(d['c_0011_10']), 'c_0101_12' : negation(d['c_0101_10']), 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0011_10'], 'c_0101_5' : negation(d['c_0011_12']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_10']), 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0101_0'], '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_0011_10'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : negation(d['c_0011_10']), 'c_0110_6' : d['c_0101_11']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_4, c_0011_5, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_8, c_1001_1, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 591314993839427/18386543130192*c_1100_1^9 + 44909329627136339/478050121384992*c_1100_1^8 + 1023228695863745/4596635782548*c_1100_1^7 + 39891064062980345/119512530346248*c_1100_1^6 + 67109127856347827/159350040461664*c_1100_1^5 + 179863318319719909/478050121384992*c_1100_1^4 + 94839820023064477/239025060692496*c_1100_1^3 + 2075133214538039/10392393943152*c_1100_1^2 + 107941702276502659/478050121384992*c_1100_1 + 1558127054382713/79675020230832, c_0011_0 - 1, c_0011_10 - 3067405/3533504*c_1100_1^9 - 9733961/3533504*c_1100_1^8 - 12143433/1766752*c_1100_1^7 - 37008771/3533504*c_1100_1^6 - 903213/67952*c_1100_1^5 - 41841105/3533504*c_1100_1^4 - 21082193/1766752*c_1100_1^3 - 21898033/3533504*c_1100_1^2 - 23183379/3533504*c_1100_1 + 643523/1766752, c_0011_11 + 55033/113984*c_1100_1^9 + 158017/113984*c_1100_1^8 + 171097/56992*c_1100_1^7 + 493143/113984*c_1100_1^6 + 83825/14248*c_1100_1^5 + 628833/113984*c_1100_1^4 + 28473/4384*c_1100_1^3 + 402133/113984*c_1100_1^2 + 385899/113984*c_1100_1 + 53029/56992, c_0011_12 - 2519/3224*c_1100_1^9 - 3895/1612*c_1100_1^8 - 9045/1612*c_1100_1^7 - 27695/3224*c_1100_1^6 - 33919/3224*c_1100_1^5 - 7515/806*c_1100_1^4 - 3544/403*c_1100_1^3 - 16839/3224*c_1100_1^2 - 3149/806*c_1100_1 - 853/806, c_0011_4 - 50391/113984*c_1100_1^9 - 152455/113984*c_1100_1^8 - 185799/56992*c_1100_1^7 - 523753/113984*c_1100_1^6 - 39913/7124*c_1100_1^5 - 533687/113984*c_1100_1^4 - 293539/56992*c_1100_1^3 - 306011/113984*c_1100_1^2 - 398909/113984*c_1100_1 + 9213/56992, c_0011_5 - 2783/28496*c_1100_1^9 - 9163/14248*c_1100_1^8 - 2839/1781*c_1100_1^7 - 75089/28496*c_1100_1^6 - 97533/28496*c_1100_1^5 - 25325/7124*c_1100_1^4 - 46105/14248*c_1100_1^3 - 55933/28496*c_1100_1^2 - 17799/14248*c_1100_1 + 1549/7124, c_0101_0 - 1, c_0101_1 - 7711/56992*c_1100_1^9 - 3461/4384*c_1100_1^8 - 53081/28496*c_1100_1^7 - 180393/56992*c_1100_1^6 - 105031/28496*c_1100_1^5 - 195573/56992*c_1100_1^4 - 74779/28496*c_1100_1^3 - 158807/56992*c_1100_1^2 - 65979/56992*c_1100_1 - 2081/2192, c_0101_10 + 3702831/3533504*c_1100_1^9 + 10506607/3533504*c_1100_1^8 + 12389847/1766752*c_1100_1^7 + 37370833/3533504*c_1100_1^6 + 1475111/110422*c_1100_1^5 + 41686895/3533504*c_1100_1^4 + 21205699/1766752*c_1100_1^3 + 19393875/3533504*c_1100_1^2 + 22458677/3533504*c_1100_1 - 636317/1766752, c_0101_11 + 649/548*c_1100_1^9 + 42609/14248*c_1100_1^8 + 1787/274*c_1100_1^7 + 60575/7124*c_1100_1^6 + 144099/14248*c_1100_1^5 + 110701/14248*c_1100_1^4 + 33567/3562*c_1100_1^3 + 19577/7124*c_1100_1^2 + 78451/14248*c_1100_1 - 4139/7124, c_0101_8 + 49841/113984*c_1100_1^9 + 129141/113984*c_1100_1^8 + 122277/56992*c_1100_1^7 + 281855/113984*c_1100_1^6 + 5247/2192*c_1100_1^5 + 113037/113984*c_1100_1^4 + 95389/56992*c_1100_1^3 - 38619/113984*c_1100_1^2 + 64407/113984*c_1100_1 - 41471/56992, c_1001_1 + 10307/113984*c_1100_1^9 + 17235/113984*c_1100_1^8 + 31185/56992*c_1100_1^7 + 116157/113984*c_1100_1^6 + 11619/7124*c_1100_1^5 + 14227/8768*c_1100_1^4 + 100093/56992*c_1100_1^3 + 74495/113984*c_1100_1^2 + 80409/113984*c_1100_1 + 42793/56992, c_1100_1^10 + 32/11*c_1100_1^9 + 75/11*c_1100_1^8 + 111/11*c_1100_1^7 + 139/11*c_1100_1^6 + 123/11*c_1100_1^5 + 131/11*c_1100_1^4 + 65/11*c_1100_1^3 + 74/11*c_1100_1^2 + 5/11*c_1100_1 + 2/11 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.240 Total time: 0.450 seconds, Total memory usage: 32.09MB