Magma V2.19-8 Tue Aug 20 2013 16:17:00 on localhost [Seed = 1511769737] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1247 geometric_solution 5.14228247 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 2031 1302 0 0 0 0 0 -1 1 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 1 -1 0 0 1 -1 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.491083448922 0.328631950850 0 3 2 4 0132 0132 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.593536606532 0.941202172075 3 0 4 1 3201 0132 0132 3012 0 0 0 0 0 1 -1 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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.593536606532 0.941202172075 3 1 3 2 2310 0132 3201 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.309304512116 1.127457320217 5 5 1 2 0132 2310 0132 0132 0 0 0 0 0 -1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.073228218601 1.642250597669 4 6 6 4 0132 0132 3201 3201 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.295956346771 0.377032064765 5 5 6 6 2310 0132 1230 3012 0 0 0 0 0 0 -1 1 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.597508777644 0.513643873827 ==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' : d['1'], 's_2_1' : 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' : 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_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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0101_2']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0110_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0110_2'], 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0110_2'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_2'], '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_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : negation(d['c_0110_2']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), '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' : negation(d['c_0101_2']), 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0101_2']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0110_2']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), '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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_6, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 366847/5821*c_0110_2^17 - 1379245/5821*c_0110_2^15 - 4730993/5821*c_0110_2^13 + 9491381/5821*c_0110_2^11 + 8486507/5821*c_0110_2^9 - 23560666/5821*c_0110_2^7 + 18224881/5821*c_0110_2^5 - 9042191/5821*c_0110_2^3 + 1664459/5821*c_0110_2, c_0011_0 - 1, c_0011_4 - 33140/5821*c_0110_2^17 + 120263/5821*c_0110_2^15 + 440241/5821*c_0110_2^13 - 792370/5821*c_0110_2^11 - 824835/5821*c_0110_2^9 + 2000044/5821*c_0110_2^7 - 1473350/5821*c_0110_2^5 + 701888/5821*c_0110_2^3 - 111372/5821*c_0110_2, c_0101_0 + 3626/5821*c_0110_2^16 - 14139/5821*c_0110_2^14 - 46478/5821*c_0110_2^12 + 104065/5821*c_0110_2^10 + 97628/5821*c_0110_2^8 - 248799/5821*c_0110_2^6 + 161610/5821*c_0110_2^4 - 83593/5821*c_0110_2^2 + 9851/5821, c_0101_1 - 6225/5821*c_0110_2^16 + 21639/5821*c_0110_2^14 + 85873/5821*c_0110_2^12 - 135136/5821*c_0110_2^10 - 173904/5821*c_0110_2^8 + 343143/5821*c_0110_2^6 - 229906/5821*c_0110_2^4 + 109433/5821*c_0110_2^2 - 10887/5821, c_0101_2 - 1036/5821*c_0110_2^17 + 1545/5821*c_0110_2^15 + 19932/5821*c_0110_2^13 + 9351/5821*c_0110_2^11 - 48683/5821*c_0110_2^9 - 3756/5821*c_0110_2^7 + 27004/5821*c_0110_2^5 - 31000/5821*c_0110_2^3 + 15480/5821*c_0110_2, c_0101_6 + 9027/5821*c_0110_2^16 - 36482/5821*c_0110_2^14 - 110452/5821*c_0110_2^12 + 275721/5821*c_0110_2^10 + 199818/5821*c_0110_2^8 - 664242/5821*c_0110_2^6 + 502624/5821*c_0110_2^4 - 251597/5821*c_0110_2^2 + 39568/5821, c_0110_2^18 - 4*c_0110_2^16 - 12*c_0110_2^14 + 29*c_0110_2^12 + 17*c_0110_2^10 - 70*c_0110_2^8 + 65*c_0110_2^6 - 36*c_0110_2^4 + 10*c_0110_2^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB