Magma V2.19-8 Tue Aug 20 2013 16:16:00 on localhost [Seed = 2084430011] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0241 geometric_solution 4.25588955 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1302 2031 0132 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 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 8.062201840163 6.097965616291 0 2 2 0 3201 0132 3201 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 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 -0.081745093816 0.096010676934 1 1 3 4 2310 0132 0132 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 -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 2.913752669396 5.497126347954 4 5 6 2 1302 0132 0132 0132 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 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 -0.135637789349 0.644128465541 6 3 2 5 1230 2031 0132 1302 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 -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 -0.135637789349 0.644128465541 6 3 4 6 2031 0132 2031 3120 0 0 0 0 0 0 -1 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 -1 0 1 0 0 0 0 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.118268450770 1.202202519257 5 4 5 3 3120 3012 1302 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 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 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.414816431140 0.445951379745 ==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' : d['c_0101_5'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0101_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : d['c_0101_5'], 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_6']), 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0011_6']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0011_6']), 'c_1001_3' : negation(d['c_0011_6']), 'c_1001_2' : negation(d['c_0011_6']), 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0011_6'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0011_6'], 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : d['c_0011_6'], 'c_0110_6' : negation(d['c_0011_4']), 'c_1010_6' : negation(d['c_0011_6']), 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : negation(d['c_0011_6']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0011_6']), 'c_1010_0' : d['c_0011_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_1, c_0011_3, c_0011_4, c_0011_6, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 400248607809867247/315173284427788063*c_0101_5^10 + 996735071066909651/315173284427788063*c_0101_5^9 + 3927311982442085282/315173284427788063*c_0101_5^8 - 22334185038440167435/315173284427788063*c_0101_5^7 - 10068268359392539531/315173284427788063*c_0101_5^6 + 101749434227598256074/315173284427788063*c_0101_5^5 - 56877376064736439825/315173284427788063*c_0101_5^4 - 137141289614272238670/315173284427788063*c_0101_5^3 - 14363349260204258530/315173284427788063*c_0101_5^2 + 56279543126951406791/315173284427788063*c_0101_5 + 63134642575902532799/315173284427788063, c_0011_0 - 1, c_0011_1 - 2180904145/172732804547*c_0101_5^10 + 6128087200/172732804547*c_0101_5^9 + 18618935252/172732804547*c_0101_5^8 - 125252234877/172732804547*c_0101_5^7 - 7796026845/172732804547*c_0101_5^6 + 509982706488/172732804547*c_0101_5^5 - 475597056077/172732804547*c_0101_5^4 - 389849219006/172732804547*c_0101_5^3 - 122700283077/172732804547*c_0101_5^2 + 172654575984/172732804547*c_0101_5 + 278723378949/172732804547, c_0011_3 + 51003672789/143195494969463*c_0101_5^10 - 130742229621/143195494969463*c_0101_5^9 - 355236476594/143195494969463*c_0101_5^8 + 2599780694474/143195494969463*c_0101_5^7 + 1250129999166/143195494969463*c_0101_5^6 - 11395000980553/143195494969463*c_0101_5^5 + 11212136732833/143195494969463*c_0101_5^4 + 37836961319246/143195494969463*c_0101_5^3 - 26524569462974/143195494969463*c_0101_5^2 + 71796779838632/143195494969463*c_0101_5 + 9794988020305/143195494969463, c_0011_4 + 51003672789/143195494969463*c_0101_5^10 - 130742229621/143195494969463*c_0101_5^9 - 355236476594/143195494969463*c_0101_5^8 + 2599780694474/143195494969463*c_0101_5^7 + 1250129999166/143195494969463*c_0101_5^6 - 11395000980553/143195494969463*c_0101_5^5 + 11212136732833/143195494969463*c_0101_5^4 + 37836961319246/143195494969463*c_0101_5^3 - 26524569462974/143195494969463*c_0101_5^2 + 71796779838632/143195494969463*c_0101_5 + 9794988020305/143195494969463, c_0011_6 - 110383086414/143195494969463*c_0101_5^10 + 956435318623/143195494969463*c_0101_5^9 - 773529151743/143195494969463*c_0101_5^8 - 11431120470646/143195494969463*c_0101_5^7 + 34384677863140/143195494969463*c_0101_5^6 + 27232191091298/143195494969463*c_0101_5^5 - 138837676361052/143195494969463*c_0101_5^4 + 118924372246260/143195494969463*c_0101_5^3 + 13346899199806/143195494969463*c_0101_5^2 + 93357431022481/143195494969463*c_0101_5 + 29888528970260/143195494969463, c_0101_2 - 136053602/172732804547*c_0101_5^10 - 23305739/172732804547*c_0101_5^9 + 2341482447/172732804547*c_0101_5^8 - 4552613308/172732804547*c_0101_5^7 - 22279235249/172732804547*c_0101_5^6 + 26122198953/172732804547*c_0101_5^5 + 55078880160/172732804547*c_0101_5^4 - 44240885472/172732804547*c_0101_5^3 - 105896859646/172732804547*c_0101_5^2 - 180237390606/172732804547*c_0101_5 + 55465305175/172732804547, c_0101_5^11 - 2*c_0101_5^10 - 11*c_0101_5^9 + 51*c_0101_5^8 + 52*c_0101_5^7 - 241*c_0101_5^6 + 23*c_0101_5^5 + 408*c_0101_5^4 + 188*c_0101_5^3 - 105*c_0101_5^2 - 196*c_0101_5 - 71 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB