Magma V2.19-8 Tue Aug 20 2013 16:16:58 on localhost [Seed = 1259001759] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1222 geometric_solution 5.11852154 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 2 0132 0132 2310 2310 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 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 -1.715030526436 1.170056495768 0 0 3 3 0132 3201 3201 0132 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 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 0.397885505275 0.271452031228 0 0 4 4 3201 0132 3201 0132 0 0 0 0 0 0 0 0 0 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 -1 0 1 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 0.397885505275 0.271452031228 1 5 1 6 2310 0132 0132 0132 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 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 1.042452703837 0.634587445470 2 5 2 6 2310 3201 0132 1023 0 0 0 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 -1 1 -1 0 1 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 1.042452703837 0.634587445470 5 3 4 5 3012 0132 2310 1230 0 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 -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 1.088543934534 0.937396203774 6 6 3 4 1230 3012 0132 1023 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 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 1.088543934534 0.937396203774 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : negation(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_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' : negation(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_3']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : negation(d['c_0101_1']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : negation(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_0011_6']), 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0101_5']), 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : negation(d['c_0101_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_1']), 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0011_6'], 'c_1010_3' : negation(d['c_0011_6']), 'c_1010_2' : negation(d['c_0101_5']), 'c_1010_1' : d['c_0101_5'], 'c_1010_0' : negation(d['c_0101_4'])})} 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_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 1108861272064/21573361*c_0101_5^16 - 10762190036992/194160249*c_0101_5^14 - 834490157056/194160249*c_0101_5^12 - 7932137599232/194160249*c_0101_5^10 + 6586349258432/194160249*c_0101_5^8 - 1558710902576/194160249*c_0101_5^6 + 416691513560/194160249*c_0101_5^4 - 226370286169/194160249*c_0101_5^2 + 13922954134/64720083, c_0011_0 - 1, c_0011_3 - 3189833728/2231727*c_0101_5^16 + 11084251136/6695181*c_0101_5^14 + 148596736/6695181*c_0101_5^12 + 2476062208/2231727*c_0101_5^10 - 776262272/743909*c_0101_5^8 + 202409856/743909*c_0101_5^6 - 156282472/2231727*c_0101_5^4 + 244503334/6695181*c_0101_5^2 - 48021613/6695181, c_0011_6 - 13545193472/6695181*c_0101_5^16 + 15059492864/6695181*c_0101_5^14 + 838879232/6695181*c_0101_5^12 + 10651952384/6695181*c_0101_5^10 - 9407624000/6695181*c_0101_5^8 + 2211031280/6695181*c_0101_5^6 - 211972040/2231727*c_0101_5^4 + 36310631/743909*c_0101_5^2 - 60848041/6695181, c_0101_0 + 1972649984/2231727*c_0101_5^16 - 7293353984/6695181*c_0101_5^14 + 74948608/6695181*c_0101_5^12 - 4343001856/6695181*c_0101_5^10 + 4792585408/6695181*c_0101_5^8 - 1147984816/6695181*c_0101_5^6 + 261403120/6695181*c_0101_5^4 - 169667045/6695181*c_0101_5^2 + 11477269/2231727, c_0101_1 + 15456550912/6695181*c_0101_5^17 - 2044452864/743909*c_0101_5^15 + 254081024/6695181*c_0101_5^13 - 3969406720/2231727*c_0101_5^11 + 3894026816/2231727*c_0101_5^9 - 1084655504/2231727*c_0101_5^7 + 817451624/6695181*c_0101_5^5 - 45336325/743909*c_0101_5^3 + 90011758/6695181*c_0101_5, c_0101_4 - 1972649984/2231727*c_0101_5^16 + 7293353984/6695181*c_0101_5^14 - 74948608/6695181*c_0101_5^12 + 4343001856/6695181*c_0101_5^10 - 4792585408/6695181*c_0101_5^8 + 1147984816/6695181*c_0101_5^6 - 261403120/6695181*c_0101_5^4 + 169667045/6695181*c_0101_5^2 - 11477269/2231727, c_0101_5^18 - 3/2*c_0101_5^16 + 3/8*c_0101_5^14 - 49/64*c_0101_5^12 + 255/256*c_0101_5^10 - 447/1024*c_0101_5^8 + 229/2048*c_0101_5^6 - 681/16384*c_0101_5^4 + 225/16384*c_0101_5^2 - 29/16384 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB