Magma V2.19-8 Tue Aug 20 2013 16:18:23 on localhost [Seed = 1292685411] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2588 geometric_solution 5.88151351 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 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 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 0.001345947321 0.881741066986 0 2 5 4 0132 3201 0132 2310 0 0 0 0 0 0 0 0 1 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.001345947321 0.881741066986 2 0 1 2 3012 0132 2310 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0.498071248238 1.017950118241 6 4 5 0 0132 2103 0321 0132 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 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 0.534697232111 0.773233573720 1 3 0 5 3201 2103 0132 0321 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 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 -1.077782919738 0.646330167250 6 4 3 1 2310 0321 0321 0132 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 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 0.534697232111 0.773233573720 3 6 5 6 0132 1302 3201 2031 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 -1 0 1 0 0 -1 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 0.533807470860 0.281687762704 ==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' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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' : d['c_0011_3'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_1001_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_1001_5'], 'c_1100_3' : d['c_1001_5'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : negation(d['c_0101_0']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0101_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_4'], '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' : d['c_1001_5'], 'c_1001_4' : d['c_0011_3'], 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0011_4'], 'c_1001_2' : d['c_0011_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_0']), 'c_0110_5' : negation(d['c_0101_0']), 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_0011_3']})} 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_4, c_0101_0, c_0101_2, c_0101_3, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t + 71537664221/596024229*c_1001_5^16 - 87434889780/198674743*c_1001_5^15 - 468588352436/596024229*c_1001_5^14 + 80288512962/198674743*c_1001_5^13 + 2264466960551/596024229*c_1001_5^12 + 4132746509981/596024229*c_1001_5^11 - 2313385140506/596024229*c_1001_5^10 - 3899570937202/198674743*c_1001_5^9 - 88921289230/9770889*c_1001_5^8 + 10770886006901/596024229*c_1001_5^7 + 3534063019098/198674743*c_1001_5^6 - 1013389813705/198674743*c_1001_5^5 - 5453066741366/596024229*c_1001_5^4 + 159300550727/198674743*c_1001_5^3 + 348144579907/198674743*c_1001_5^2 - 62500519294/198674743*c_1001_5 - 95539189124/596024229, c_0011_0 - 1, c_0011_3 + 692931065/198674743*c_1001_5^16 - 2542382469/198674743*c_1001_5^15 - 4549060901/198674743*c_1001_5^14 + 2376737956/198674743*c_1001_5^13 + 22128235314/198674743*c_1001_5^12 + 40087918287/198674743*c_1001_5^11 - 23007172384/198674743*c_1001_5^10 - 114882320278/198674743*c_1001_5^9 - 874377499/3256963*c_1001_5^8 + 107163963887/198674743*c_1001_5^7 + 106590286670/198674743*c_1001_5^6 - 29935069584/198674743*c_1001_5^5 - 56378783274/198674743*c_1001_5^4 + 3500550323/198674743*c_1001_5^3 + 11382239093/198674743*c_1001_5^2 - 1575307211/198674743*c_1001_5 - 1261415561/198674743, c_0011_4 + c_1001_5, c_0101_0 - 10799036/198674743*c_1001_5^16 + 62015740/198674743*c_1001_5^15 - 11402088/198674743*c_1001_5^14 - 155964907/198674743*c_1001_5^13 - 368210831/198674743*c_1001_5^12 - 62403656/198674743*c_1001_5^11 + 1646432909/198674743*c_1001_5^10 + 1720632095/198674743*c_1001_5^9 - 22457091/3256963*c_1001_5^8 - 3585182224/198674743*c_1001_5^7 - 841692106/198674743*c_1001_5^6 + 2364584751/198674743*c_1001_5^5 + 1566926153/198674743*c_1001_5^4 - 493913067/198674743*c_1001_5^3 - 987743112/198674743*c_1001_5^2 - 149535065/198674743*c_1001_5 + 234727848/198674743, c_0101_2 - 418065752/198674743*c_1001_5^16 + 1431613086/198674743*c_1001_5^15 + 3170309569/198674743*c_1001_5^14 - 999135704/198674743*c_1001_5^13 - 13821756721/198674743*c_1001_5^12 - 27041144501/198674743*c_1001_5^11 + 9325294416/198674743*c_1001_5^10 + 74192797632/198674743*c_1001_5^9 + 739658059/3256963*c_1001_5^8 - 62731732277/198674743*c_1001_5^7 - 77348452508/198674743*c_1001_5^6 + 10949936839/198674743*c_1001_5^5 + 39338790545/198674743*c_1001_5^4 + 606133514/198674743*c_1001_5^3 - 8310357551/198674743*c_1001_5^2 + 899671391/198674743*c_1001_5 + 909158437/198674743, c_0101_3 - 391478805/198674743*c_1001_5^16 + 1495775026/198674743*c_1001_5^15 + 2313862366/198674743*c_1001_5^14 - 1614486064/198674743*c_1001_5^13 - 11995276008/198674743*c_1001_5^12 - 20669934464/198674743*c_1001_5^11 + 15380856846/198674743*c_1001_5^10 + 60254773061/198674743*c_1001_5^9 + 322250940/3256963*c_1001_5^8 - 60276480349/198674743*c_1001_5^7 - 46212220628/198674743*c_1001_5^6 + 24202183882/198674743*c_1001_5^5 + 25069544685/198674743*c_1001_5^4 - 7130949040/198674743*c_1001_5^3 - 4756413466/198674743*c_1001_5^2 + 1630399929/198674743*c_1001_5 + 376795677/198674743, c_1001_5^17 - 3*c_1001_5^16 - 9*c_1001_5^15 - c_1001_5^14 + 34*c_1001_5^13 + 79*c_1001_5^12 + 6*c_1001_5^11 - 186*c_1001_5^10 - 186*c_1001_5^9 + 101*c_1001_5^8 + 252*c_1001_5^7 + 58*c_1001_5^6 - 107*c_1001_5^5 - 47*c_1001_5^4 + 19*c_1001_5^3 + 8*c_1001_5^2 - 3*c_1001_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB