Magma V2.19-8 Tue Aug 20 2013 16:14:49 on localhost [Seed = 3246415278] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s797 geometric_solution 5.34381645 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 -1 0 1 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 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.319976646125 0.288910237145 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 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 1 0 -1 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 0.958369057398 1.265589308684 1 4 5 3 0132 0132 0132 1230 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 -1 0 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 0.731677189321 0.915200455311 2 5 4 1 3012 3201 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 0 0 0 0 0 -1 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 0.731677189321 0.915200455311 4 2 4 3 2031 0132 1302 0132 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 -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 0.518479624752 0.374126196144 5 5 3 2 1302 2031 2310 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 0.712764169057 1.195833073615 ==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' : negation(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' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : 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_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : negation(d['1']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_1']), 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : negation(d['c_0011_1']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_1'], '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_0101_0']), 'c_1001_4' : d['c_0101_3'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : d['c_0011_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_3'], 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0011_5, c_0101_0, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t - 3865968115283537/3594012852485632*c_0101_3^20 + 99293426482782159/3594012852485632*c_0101_3^18 - 1027774023239347901/3594012852485632*c_0101_3^16 + 5617917159296271699/3594012852485632*c_0101_3^14 - 1101156424003073017/224625803280352*c_0101_3^12 + 8618700807869287341/898503213121408*c_0101_3^10 - 10055217653072238927/898503213121408*c_0101_3^8 + 7430188586245958283/898503213121408*c_0101_3^6 - 3939675413491381863/898503213121408*c_0101_3^4 + 18807538137548673/1797006426242816*c_0101_3^2 + 44382230059308765/1797006426242816, c_0011_0 - 1, c_0011_1 + 13928379904507/3594012852485632*c_0101_3^20 - 345281768564797/3594012852485632*c_0101_3^18 + 3382811331732735/3594012852485632*c_0101_3^16 - 16921940414695657/3594012852485632*c_0101_3^14 + 2829223766076815/224625803280352*c_0101_3^12 - 16650141316414783/898503213121408*c_0101_3^10 + 7549861531256813/898503213121408*c_0101_3^8 + 7891257270089783/898503213121408*c_0101_3^6 - 13318229870502843/898503213121408*c_0101_3^4 + 31713651423112885/1797006426242816*c_0101_3^2 - 3511271867623271/1797006426242816, c_0011_3 + 30392193888291/449251606560704*c_0101_3^20 - 785690384657957/449251606560704*c_0101_3^18 + 8211302908377871/449251606560704*c_0101_3^16 - 45534185516998009/449251606560704*c_0101_3^14 + 4564169754476375/14039112705022*c_0101_3^12 - 73743937183376627/112312901640176*c_0101_3^10 + 90946057893602897/112312901640176*c_0101_3^8 - 72652424222846597/112312901640176*c_0101_3^6 + 41791182847082113/112312901640176*c_0101_3^4 - 11813933899145227/224625803280352*c_0101_3^2 + 198589850173913/224625803280352, c_0011_5 + 164485308455285/3594012852485632*c_0101_3^20 - 4241874551837371/3594012852485632*c_0101_3^18 + 44168918883865809/3594012852485632*c_0101_3^16 - 243548388287402319/3594012852485632*c_0101_3^14 + 48381896098648037/224625803280352*c_0101_3^12 - 385696916775237089/898503213121408*c_0101_3^10 + 464669491514184347/898503213121408*c_0101_3^8 - 358592710794749687/898503213121408*c_0101_3^6 + 199086291311346035/898503213121408*c_0101_3^4 - 33584997721183077/1797006426242816*c_0101_3^2 - 2280798654358817/1797006426242816, c_0101_0 + 220506100462041/3594012852485632*c_0101_3^21 - 5759406854544359/3594012852485632*c_0101_3^19 + 61099762642577317/3594012852485632*c_0101_3^17 - 346293377687487499/3594012852485632*c_0101_3^15 + 71750067784530897/224625803280352*c_0101_3^13 - 605894000339047445/898503213121408*c_0101_3^11 + 803020738866272359/898503213121408*c_0101_3^9 - 703739782483344611/898503213121408*c_0101_3^7 + 444172513072268415/898503213121408*c_0101_3^5 - 247950325429891337/1797006426242816*c_0101_3^3 + 24678702488408923/1797006426242816*c_0101_3, c_0101_3^22 - 26*c_0101_3^20 + 274*c_0101_3^18 - 1538*c_0101_3^16 + 5025*c_0101_3^14 - 10404*c_0101_3^12 + 13368*c_0101_3^10 - 11264*c_0101_3^8 + 6848*c_0101_3^6 - 1558*c_0101_3^4 + 124*c_0101_3^2 - 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB