Magma V2.19-8 Tue Aug 20 2013 16:15:56 on localhost [Seed = 4155927499] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0165 geometric_solution 3.90506656 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 1 0132 0132 1023 1023 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 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 1.367515533068 0.221291220420 0 3 4 0 0132 0132 0132 1023 0 0 0 0 0 0 1 -1 1 0 -1 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 -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 0.828062642642 0.919126453885 5 0 0 5 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.312385476636 0.069370129512 6 1 4 4 0132 0132 1302 3201 0 0 0 0 0 0 -1 1 0 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.260311791220 0.441738410853 3 3 6 1 2031 2310 2310 0132 0 0 0 0 0 0 1 -1 1 0 -2 1 0 -1 0 1 1 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.260311791220 0.441738410853 2 5 5 2 0132 1230 3012 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.491751433982 0.040837799095 3 4 6 6 0132 3201 1230 3012 0 0 0 0 0 0 -1 1 0 0 -1 1 0 -1 0 1 -1 2 -1 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 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.419085226381 0.928042245836 ==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' : 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' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : negation(d['c_0011_0']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : negation(d['c_0011_4']), '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_4'], 'c_0011_6' : negation(d['c_0011_0']), '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_0011_0']), 'c_1001_4' : d['c_0101_6'], 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : negation(d['c_0101_6']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_4']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0101_6']), 'c_1010_3' : negation(d['c_0101_6']), 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : 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_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 29022958/10743957*c_0101_6^10 + 108580190/10743957*c_0101_6^9 - 643079084/10743957*c_0101_6^8 + 11293675/1534851*c_0101_6^7 + 449256434/10743957*c_0101_6^6 + 507107140/10743957*c_0101_6^5 + 227703117/1193773*c_0101_6^4 + 2244851/170539*c_0101_6^3 + 467472190/10743957*c_0101_6^2 - 1139517/1193773*c_0101_6 - 172094473/10743957, c_0011_0 - 1, c_0011_4 + 96770/511617*c_0101_6^10 + 588901/511617*c_0101_6^9 - 834403/511617*c_0101_6^8 - 1985536/511617*c_0101_6^7 - 1749842/511617*c_0101_6^6 - 2342395/511617*c_0101_6^5 + 209885/170539*c_0101_6^4 + 507227/170539*c_0101_6^3 + 370568/511617*c_0101_6^2 + 183824/170539*c_0101_6 - 346313/511617, c_0101_0 + 154404/170539*c_0101_6^10 + 825781/170539*c_0101_6^9 - 1945330/170539*c_0101_6^8 - 1772296/170539*c_0101_6^7 - 1497057/170539*c_0101_6^6 - 2482952/170539*c_0101_6^5 + 3253427/170539*c_0101_6^4 + 75420/170539*c_0101_6^3 + 664004/170539*c_0101_6^2 + 205687/170539*c_0101_6 - 563217/170539, c_0101_1 - 83181/170539*c_0101_6^10 - 464069/170539*c_0101_6^9 + 957105/170539*c_0101_6^8 + 1253336/170539*c_0101_6^7 + 832752/170539*c_0101_6^6 + 1406425/170539*c_0101_6^5 - 1378977/170539*c_0101_6^4 - 321827/170539*c_0101_6^3 + 168999/170539*c_0101_6^2 - 154404/170539*c_0101_6 + 183824/170539, c_0101_2 - 535996/511617*c_0101_6^10 - 2714180/511617*c_0101_6^9 + 7685141/511617*c_0101_6^8 + 4894703/511617*c_0101_6^7 + 2174293/511617*c_0101_6^6 + 5407016/511617*c_0101_6^5 - 4960291/170539*c_0101_6^4 + 23082/170539*c_0101_6^3 - 1584241/511617*c_0101_6^2 - 140164/170539*c_0101_6 + 1997464/511617, c_0101_5 + 330608/511617*c_0101_6^10 + 1665571/511617*c_0101_6^9 - 4867372/511617*c_0101_6^8 - 3345805/511617*c_0101_6^7 - 201293/511617*c_0101_6^6 - 2225170/511617*c_0101_6^5 + 3302758/170539*c_0101_6^4 + 217821/170539*c_0101_6^3 - 238759/511617*c_0101_6^2 + 5700/170539*c_0101_6 - 1274132/511617, c_0101_6^11 + 6*c_0101_6^10 - 9*c_0101_6^9 - 19*c_0101_6^8 - 18*c_0101_6^7 - 24*c_0101_6^6 + 7*c_0101_6^5 + 9*c_0101_6^4 + 4*c_0101_6^3 + 4*c_0101_6^2 - c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB