Magma V2.19-8 Tue Aug 20 2013 16:17:46 on localhost [Seed = 1916006033] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2002 geometric_solution 5.55993266 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 3 0132 0132 0132 3201 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 1 0 -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 0.270492037817 0.623726574146 0 3 4 2 0132 0213 0132 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.585226266283 1.349471049556 5 0 1 4 0132 0132 2031 2310 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 0 0 0 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.777488963860 0.598683227930 4 0 1 0 1023 2310 0213 0132 0 0 0 0 0 1 0 -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 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 0.414773733717 1.349471049556 2 3 5 1 3201 1023 3012 0132 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 -1 0 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 0.545460069068 1.467602688481 2 4 6 6 0132 1230 0132 2310 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 1.199605199145 0.945722439881 5 6 6 5 3201 3201 2310 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 -0.764437843770 0.265090532368 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : 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_2_0' : negation(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_1_6' : 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' : 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' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_6'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_0101_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : negation(d['c_0101_2']), 'c_0101_5' : negation(d['c_0101_4']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_0']), '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_3'], '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_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : negation(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' : negation(d['c_0101_4']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0101_4']), 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : negation(d['c_0101_0'])})} 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_3, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 2/5*c_0101_4 + 1/5, c_0011_0 - 1, c_0011_3 + c_0101_1 - 1, c_0011_6 - c_0101_4, c_0101_0 - c_0101_4 - 1, c_0101_1^2 - c_0101_1 + c_0101_4 + 3, c_0101_2 + 1, c_0101_4^2 + c_0101_4 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 77035286438816/149476465797*c_0101_4^8 + 38472112473216/49825488599*c_0101_4^7 - 293191274503216/149476465797*c_0101_4^6 + 89756536140512/149476465797*c_0101_4^5 - 537583402154092/149476465797*c_0101_4^4 + 53386999225750/149476465797*c_0101_4^3 - 268738539233600/149476465797*c_0101_4^2 - 262796383261/8079808962*c_0101_4 - 174397788263767/298952931594, c_0011_0 - 1, c_0011_3 - 1383838528/4039904481*c_0101_4^8 + 1044325664/1346634827*c_0101_4^7 - 5510829824/4039904481*c_0101_4^6 + 2869140736/4039904481*c_0101_4^5 - 5278327136/4039904481*c_0101_4^4 + 5102133992/4039904481*c_0101_4^3 + 787788440/4039904481*c_0101_4^2 - 359086156/4039904481*c_0101_4 + 705822089/4039904481, c_0011_6 - 1031495872/4039904481*c_0101_4^8 + 1525555904/4039904481*c_0101_4^7 - 2550182368/4039904481*c_0101_4^6 - 1117734992/4039904481*c_0101_4^5 - 2497008760/4039904481*c_0101_4^4 - 1058161144/4039904481*c_0101_4^3 + 5303533672/4039904481*c_0101_4^2 - 369330613/4039904481*c_0101_4 + 277221220/4039904481, c_0101_0 + 483973568/4039904481*c_0101_4^8 - 2434402592/4039904481*c_0101_4^7 + 1789473472/1346634827*c_0101_4^6 - 7318243280/4039904481*c_0101_4^5 + 2199664408/1346634827*c_0101_4^4 - 7457696296/4039904481*c_0101_4^3 + 1916473464/1346634827*c_0101_4^2 + 645623234/4039904481*c_0101_4 + 204485682/1346634827, c_0101_1 - 1383838528/4039904481*c_0101_4^8 + 1044325664/1346634827*c_0101_4^7 - 5510829824/4039904481*c_0101_4^6 + 2869140736/4039904481*c_0101_4^5 - 5278327136/4039904481*c_0101_4^4 + 5102133992/4039904481*c_0101_4^3 + 787788440/4039904481*c_0101_4^2 - 359086156/4039904481*c_0101_4 + 705822089/4039904481, c_0101_2 + 319292992/1346634827*c_0101_4^8 - 2484633472/4039904481*c_0101_4^7 + 5174592928/4039904481*c_0101_4^6 - 1798462160/1346634827*c_0101_4^5 + 9175701832/4039904481*c_0101_4^4 - 3290279068/1346634827*c_0101_4^3 + 3911723888/4039904481*c_0101_4^2 - 1111441700/1346634827*c_0101_4 + 1115458181/4039904481, c_0101_4^9 - 2*c_0101_4^8 + 9/2*c_0101_4^7 - 3*c_0101_4^6 + 59/8*c_0101_4^5 - 67/16*c_0101_4^4 + 7/2*c_0101_4^3 - 111/64*c_0101_4^2 + 65/64*c_0101_4 - 37/64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB