Magma V2.19-8 Tue Aug 20 2013 16:17:34 on localhost [Seed = 3263389213] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1801 geometric_solution 5.47044230 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 1 -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 -1 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 -0.104435953542 1.108802230742 0 5 3 6 0132 0132 0213 0132 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.457084996480 1.307218100775 4 0 2 2 1302 0132 2031 1302 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 -1 1 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.371933781878 0.195967478288 4 1 5 0 0213 0213 3120 0132 0 0 0 0 0 1 0 -1 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 -1 0 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 -0.836617463253 0.343682030656 3 2 0 5 0213 2031 0132 3120 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 1 0 -1 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 1.084198827948 0.893943561471 4 1 3 6 3120 0132 3120 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.457084996480 1.307218100775 6 6 1 5 1302 2031 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.532307625148 0.786012632567 ==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_4'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0101_5']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : negation(d['c_0101_5']), 'c_1100_3' : negation(d['c_0101_5']), 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : negation(d['c_0011_4']), 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : negation(d['c_0011_6']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], '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_0110_6']), 'c_1001_4' : negation(d['c_0110_2']), 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : d['c_0110_6'], 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : d['c_0110_6'], 'c_1001_2' : negation(d['c_0110_2']), 'c_0110_1' : negation(d['c_0011_6']), 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : negation(d['c_0011_6']), 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : d['c_0011_6'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : d['c_0110_6'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : negation(d['c_0110_6']), 'c_1010_0' : negation(d['c_0110_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_0011_4, c_0011_6, c_0101_5, c_0110_2, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 878108320/8077331*c_0110_6^10 - 1855740677/8077331*c_0110_6^9 + 3170452051/8077331*c_0110_6^8 + 10041056358/8077331*c_0110_6^7 + 217779040/8077331*c_0110_6^6 - 375426045/8077331*c_0110_6^5 + 4144483349/8077331*c_0110_6^4 - 101832919/8077331*c_0110_6^3 + 544085170/8077331*c_0110_6^2 + 310726558/8077331*c_0110_6 - 703066783/8077331, c_0011_0 - 1, c_0011_3 - 7289625/8077331*c_0110_6^10 + 15892935/8077331*c_0110_6^9 - 26806661/8077331*c_0110_6^8 - 89381106/8077331*c_0110_6^7 + 26572629/8077331*c_0110_6^6 - 40240766/8077331*c_0110_6^5 - 47382865/8077331*c_0110_6^4 - 8510471/8077331*c_0110_6^3 - 21905637/8077331*c_0110_6^2 + 1249586/8077331*c_0110_6 - 4705403/8077331, c_0011_4 - 17210255/8077331*c_0110_6^10 + 67514478/8077331*c_0110_6^9 - 175202520/8077331*c_0110_6^8 + 68115482/8077331*c_0110_6^7 + 6323834/8077331*c_0110_6^6 - 129634675/8077331*c_0110_6^5 + 37105499/8077331*c_0110_6^4 - 39983527/8077331*c_0110_6^3 - 15852878/8077331*c_0110_6^2 + 2380326/8077331*c_0110_6 - 8179600/8077331, c_0011_6 + 33608375/8077331*c_0110_6^10 - 114129610/8077331*c_0110_6^9 + 265581261/8077331*c_0110_6^8 + 61282614/8077331*c_0110_6^7 - 115159253/8077331*c_0110_6^6 + 190643800/8077331*c_0110_6^5 - 15903390/8077331*c_0110_6^4 + 11641230/8077331*c_0110_6^3 + 42616690/8077331*c_0110_6^2 - 15615936/8077331*c_0110_6 + 9273471/8077331, c_0101_5 + 7289625/8077331*c_0110_6^10 - 15892935/8077331*c_0110_6^9 + 26806661/8077331*c_0110_6^8 + 89381106/8077331*c_0110_6^7 - 26572629/8077331*c_0110_6^6 + 40240766/8077331*c_0110_6^5 + 47382865/8077331*c_0110_6^4 + 8510471/8077331*c_0110_6^3 + 21905637/8077331*c_0110_6^2 - 1249586/8077331*c_0110_6 + 4705403/8077331, c_0110_2 + 12163340/8077331*c_0110_6^10 - 49700059/8077331*c_0110_6^9 + 132831503/8077331*c_0110_6^8 - 72090473/8077331*c_0110_6^7 + 11789318/8077331*c_0110_6^6 + 98410578/8077331*c_0110_6^5 - 46462088/8077331*c_0110_6^4 + 45077370/8077331*c_0110_6^3 + 15330871/8077331*c_0110_6^2 - 3422281/8077331*c_0110_6 + 13565422/8077331, c_0110_6^11 - 18/5*c_0110_6^10 + 44/5*c_0110_6^9 - 3/5*c_0110_6^8 - 9/5*c_0110_6^7 + 29/5*c_0110_6^6 - 12/5*c_0110_6^5 + 7/5*c_0110_6^4 + 3/5*c_0110_6^3 - 4/5*c_0110_6^2 + 2/5*c_0110_6 - 1/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB