Magma V2.19-8 Tue Aug 20 2013 16:18:30 on localhost [Seed = 172726070] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2696 geometric_solution 5.95052575 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 3 0132 0132 3201 0132 0 0 0 0 0 0 -1 1 0 0 -1 1 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.981253384490 0.463138887288 0 3 3 4 0132 1302 3201 0132 0 0 0 0 0 0 0 0 0 0 0 0 1 -2 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 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.544859463994 0.360984881473 0 0 5 4 2310 0132 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.896414085929 0.516112917132 1 5 0 1 2310 0132 0132 2031 0 0 0 0 0 -1 -1 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 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 0.544859463994 0.360984881473 2 6 1 6 3201 0132 0132 2310 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 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 1.048436266054 0.974645611614 6 3 6 2 2310 0132 0132 0132 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 0 0 0 0 0 0 1.048436266054 0.974645611614 4 4 5 5 3201 0132 3201 0132 0 0 0 0 0 -1 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 0 0 0 0 -1 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 0 0 0 0.512859670211 0.525299997376 ==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' : negation(d['1']), 's_3_0' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : negation(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' : negation(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_3'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : negation(d['c_0101_2']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], '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' : d['c_0011_3'], 'c_0011_6' : negation(d['c_0011_3']), '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_0']), 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], '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' : negation(d['c_0101_0']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0011_0']), 'c_1010_5' : d['c_1001_2'], 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : d['c_1001_2']})} 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_0101_0, c_0101_1, c_0101_2, c_0101_5, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 591745069/5167695330*c_1001_2^13 + 86203283/1722565110*c_1001_2^12 + 25790785159/5167695330*c_1001_2^11 + 41656250518/2583847665*c_1001_2^10 + 25068483469/5167695330*c_1001_2^9 - 6433365725/147648438*c_1001_2^8 - 163359048253/5167695330*c_1001_2^7 + 438474636067/5167695330*c_1001_2^6 + 47520285889/516769533*c_1001_2^5 - 359311155409/5167695330*c_1001_2^4 - 437587552741/5167695330*c_1001_2^3 + 78334052777/1722565110*c_1001_2^2 + 14324462557/369121095*c_1001_2 - 42657972599/2583847665, c_0011_0 - 1, c_0011_3 + 53926/1171813*c_1001_2^13 + 397187/1171813*c_1001_2^12 + 760257/1171813*c_1001_2^11 - 920698/1171813*c_1001_2^10 - 4189849/1171813*c_1001_2^9 - 362784/1171813*c_1001_2^8 + 10458223/1171813*c_1001_2^7 + 5657724/1171813*c_1001_2^6 - 14612992/1171813*c_1001_2^5 - 11383218/1171813*c_1001_2^4 + 10276275/1171813*c_1001_2^3 + 8712733/1171813*c_1001_2^2 - 3398000/1171813*c_1001_2 - 1967556/1171813, c_0101_0 - c_1001_2, c_0101_1 + 785548/1171813*c_1001_2^13 + 5552762/1171813*c_1001_2^12 + 10555385/1171813*c_1001_2^11 - 8224032/1171813*c_1001_2^10 - 41400642/1171813*c_1001_2^9 - 1281059/1171813*c_1001_2^8 + 92827391/1171813*c_1001_2^7 + 43318512/1171813*c_1001_2^6 - 106003464/1171813*c_1001_2^5 - 64933580/1171813*c_1001_2^4 + 67690226/1171813*c_1001_2^3 + 38422905/1171813*c_1001_2^2 - 24211336/1171813*c_1001_2 - 7466392/1171813, c_0101_2 - 148958/1171813*c_1001_2^13 - 1157459/1171813*c_1001_2^12 - 2607559/1171813*c_1001_2^11 + 903249/1171813*c_1001_2^10 + 9652721/1171813*c_1001_2^9 + 3480806/1171813*c_1001_2^8 - 20197177/1171813*c_1001_2^7 - 14955208/1171813*c_1001_2^6 + 21549959/1171813*c_1001_2^5 + 19664207/1171813*c_1001_2^4 - 12022153/1171813*c_1001_2^3 - 9854722/1171813*c_1001_2^2 + 3848070/1171813*c_1001_2 + 2223044/1171813, c_0101_5 - 315345/1171813*c_1001_2^13 - 2364388/1171813*c_1001_2^12 - 5186189/1171813*c_1001_2^11 + 1336913/1171813*c_1001_2^10 + 16843493/1171813*c_1001_2^9 + 5522691/1171813*c_1001_2^8 - 35163498/1171813*c_1001_2^7 - 26464651/1171813*c_1001_2^6 + 33410564/1171813*c_1001_2^5 + 30608259/1171813*c_1001_2^4 - 18924312/1171813*c_1001_2^3 - 15142101/1171813*c_1001_2^2 + 6772620/1171813*c_1001_2 + 3403797/1171813, c_1001_2^14 + 8*c_1001_2^13 + 20*c_1001_2^12 + 2*c_1001_2^11 - 62*c_1001_2^10 - 49*c_1001_2^9 + 117*c_1001_2^8 + 160*c_1001_2^7 - 87*c_1001_2^6 - 199*c_1001_2^5 + 18*c_1001_2^4 + 122*c_1001_2^3 + 7*c_1001_2^2 - 36*c_1001_2 - 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB