Magma V2.19-8 Tue Aug 20 2013 16:18:01 on localhost [Seed = 1949690042] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2254 geometric_solution 5.68374399 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 1 0132 0132 0132 3201 0 0 0 0 0 0 0 0 0 0 1 -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 -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 0.397652231318 0.913504940918 0 0 4 3 0132 2310 0132 3201 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 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 1.147083178266 1.484772781041 4 0 6 5 2031 0132 0132 0132 0 0 0 0 0 0 1 -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 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 0.580418800373 0.118992044283 5 1 4 0 3012 2310 1302 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 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 -0.297859317596 0.724784419453 3 6 2 1 2031 2103 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.453608460397 0.670162477734 6 6 2 3 0213 1230 0132 1230 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 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 1.096893313938 0.747655227960 5 4 5 2 0213 2103 3012 0132 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 0 0 0 0.768026457298 0.573540289684 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_0' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : negation(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' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0101_0'], 'c_1100_5' : d['c_0101_0'], 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0101_0'], 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0011_6'], 'c_0101_4' : d['c_0011_0'], 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : negation(d['c_0011_3']), '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_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_0101_0']), 'c_1001_4' : d['c_0011_6'], 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_1001_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_6'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_3']), 'c_1010_6' : negation(d['c_1001_1']), 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_1001_1'])})} 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_0, c_0101_1, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 30805232442657/2251415748049*c_1001_1^13 - 627736576098037/9005662992196*c_1001_1^12 - 205213738225388/2251415748049*c_1001_1^11 - 263646454803353/9005662992196*c_1001_1^10 + 130982700796378/2251415748049*c_1001_1^9 + 77648316233795/9005662992196*c_1001_1^8 - 387880323055527/9005662992196*c_1001_1^7 + 1496805047310111/9005662992196*c_1001_1^6 + 2314295846957407/4502831496098*c_1001_1^5 + 896106272557112/2251415748049*c_1001_1^4 - 886490739321085/9005662992196*c_1001_1^3 - 1849523836043493/4502831496098*c_1001_1^2 - 2697076771833243/9005662992196*c_1001_1 - 877791868455841/9005662992196, c_0011_0 - 1, c_0011_3 + 3600902584/173185826773*c_1001_1^13 + 78873275446/173185826773*c_1001_1^12 + 293272853004/173185826773*c_1001_1^11 + 239251800974/173185826773*c_1001_1^10 + 32298821927/173185826773*c_1001_1^9 - 11535815442/173185826773*c_1001_1^8 + 290626623908/173185826773*c_1001_1^7 + 215394212722/173185826773*c_1001_1^6 - 801145334216/173185826773*c_1001_1^5 - 1403831338281/173185826773*c_1001_1^4 - 418432426626/173185826773*c_1001_1^3 + 488659202285/173185826773*c_1001_1^2 + 612844764094/173185826773*c_1001_1 + 274189640320/173185826773, c_0011_4 + 562830245696/173185826773*c_1001_1^13 + 3122677337332/173185826773*c_1001_1^12 + 5169855831109/173185826773*c_1001_1^11 + 3925974532154/173185826773*c_1001_1^10 + 1340417302076/173185826773*c_1001_1^9 + 3479197919199/173185826773*c_1001_1^8 + 6638192604772/173185826773*c_1001_1^7 - 1189626667587/173185826773*c_1001_1^6 - 17430959926498/173185826773*c_1001_1^5 - 18732468849947/173185826773*c_1001_1^4 - 3170589660191/173185826773*c_1001_1^3 + 8088374444673/173185826773*c_1001_1^2 + 6708638224146/173185826773*c_1001_1 + 1849563452341/173185826773, c_0011_6 + 57358041188/173185826773*c_1001_1^13 + 165379672177/173185826773*c_1001_1^12 - 129962060603/173185826773*c_1001_1^11 - 113174711457/173185826773*c_1001_1^10 - 2839821267/173185826773*c_1001_1^9 + 355323902231/173185826773*c_1001_1^8 - 203294642391/173185826773*c_1001_1^7 - 788650464573/173185826773*c_1001_1^6 - 144760191150/173185826773*c_1001_1^5 + 1136586182187/173185826773*c_1001_1^4 + 313838675541/173185826773*c_1001_1^3 - 217132186174/173185826773*c_1001_1^2 - 247471103467/173185826773*c_1001_1 - 38621950246/173185826773, c_0101_0 - 87765126590/173185826773*c_1001_1^13 - 1178314091739/346371653546*c_1001_1^12 - 1227466678206/173185826773*c_1001_1^11 - 1733180292369/346371653546*c_1001_1^10 - 187149737401/173185826773*c_1001_1^9 - 929356030255/346371653546*c_1001_1^8 - 3163425768825/346371653546*c_1001_1^7 - 259061368181/346371653546*c_1001_1^6 + 3939483454180/173185826773*c_1001_1^5 + 4838383357961/173185826773*c_1001_1^4 + 940670766819/346371653546*c_1001_1^3 - 2278761899833/173185826773*c_1001_1^2 - 3300103365461/346371653546*c_1001_1 - 659098862637/346371653546, c_0101_1 + 462051401650/173185826773*c_1001_1^13 + 5237323370501/346371653546*c_1001_1^12 + 4483977951995/173185826773*c_1001_1^11 + 6874657420341/346371653546*c_1001_1^10 + 1196784859318/173185826773*c_1001_1^9 + 5552900202711/346371653546*c_1001_1^8 + 11388873553359/346371653546*c_1001_1^7 - 1589646901765/346371653546*c_1001_1^6 - 14810028783582/173185826773*c_1001_1^5 - 16693260699613/173185826773*c_1001_1^4 - 6595377063021/346371653546*c_1001_1^3 + 7013769458249/173185826773*c_1001_1^2 + 12385303373697/346371653546*c_1001_1 + 3599502169101/346371653546, c_1001_1^14 + 25/4*c_1001_1^13 + 53/4*c_1001_1^12 + 57/4*c_1001_1^11 + 33/4*c_1001_1^10 + 33/4*c_1001_1^9 + 16*c_1001_1^8 + 7*c_1001_1^7 - 125/4*c_1001_1^6 - 113/2*c_1001_1^5 - 135/4*c_1001_1^4 + 31/4*c_1001_1^3 + 93/4*c_1001_1^2 + 14*c_1001_1 + 13/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB