Magma V2.19-8 Tue Aug 20 2013 16:18:25 on localhost [Seed = 4206585805] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2620 geometric_solution 5.90195633 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 1 0132 0132 0132 3012 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 0.555856406576 0.932954005627 0 3 0 4 0132 2103 1230 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.415994607695 0.873825135191 3 0 6 5 2103 0132 0132 0132 0 0 0 0 0 1 -1 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 -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 0 0 0 0.519379292850 1.751821338324 4 1 2 0 0132 2103 2103 0132 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 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 0.660836928823 0.068120456721 3 5 1 6 0132 3120 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.844433540317 0.524712185010 5 4 2 5 3201 3120 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 -1 0 1 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 0.379623504526 0.513688902055 6 4 6 2 2310 1302 3201 0132 0 0 0 0 0 0 -1 1 1 0 -1 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 -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 0.515899875723 0.684099222474 ==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' : negation(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' : 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' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_5'], 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_0101_1'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0011_5'], 'c_0101_6' : negation(d['c_0101_2']), 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_5']), '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_0'], 'c_1001_4' : negation(d['c_1001_0']), 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : negation(d['c_0101_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_3'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : negation(d['c_0011_5']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_0']), 'c_1010_0' : negation(d['c_0101_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_5, c_0101_0, c_0101_1, c_0101_2, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 10651207248817/5555760660054*c_1001_0^17 + 154262300502457/5555760660054*c_1001_0^16 + 152558284178299/925960110009*c_1001_0^15 + 2742744878392883/5555760660054*c_1001_0^14 + 1865283808158394/2777880330027*c_1001_0^13 - 26742504376895/252534575457*c_1001_0^12 - 7896417605776783/5555760660054*c_1001_0^11 - 3949724666377613/5555760660054*c_1001_0^10 + 643424319004901/252534575457*c_1001_0^9 + 20451484288069289/5555760660054*c_1001_0^8 - 449306206582429/1851920220018*c_1001_0^7 - 7996596146883721/1851920220018*c_1001_0^6 - 9231046302763552/2777880330027*c_1001_0^5 + 123410023006912/308653370003*c_1001_0^4 + 1151101924424039/617306740006*c_1001_0^3 + 4320060756184009/5555760660054*c_1001_0^2 - 348387935499550/2777880330027*c_1001_0 - 188483393417305/1851920220018, c_0011_0 - 1, c_0011_3 - 13226743586/28059397273*c_1001_0^17 - 191097520480/28059397273*c_1001_0^16 - 1133481579532/28059397273*c_1001_0^15 - 3406367200562/28059397273*c_1001_0^14 - 4681885084119/28059397273*c_1001_0^13 + 638337914350/28059397273*c_1001_0^12 + 9985685086923/28059397273*c_1001_0^11 + 5583980853935/28059397273*c_1001_0^10 - 17330704620605/28059397273*c_1001_0^9 - 26525371069110/28059397273*c_1001_0^8 + 798166411419/28059397273*c_1001_0^7 + 31168437176138/28059397273*c_1001_0^6 + 25019337558357/28059397273*c_1001_0^5 - 2560806537087/28059397273*c_1001_0^4 - 14315237826383/28059397273*c_1001_0^3 - 6440976429101/28059397273*c_1001_0^2 + 888949355324/28059397273*c_1001_0 + 910021843681/28059397273, c_0011_5 - 29141002350/28059397273*c_1001_0^17 - 422952177825/28059397273*c_1001_0^16 - 2519378810021/28059397273*c_1001_0^15 - 7598078257608/28059397273*c_1001_0^14 - 10462263881714/28059397273*c_1001_0^13 + 1473391794798/28059397273*c_1001_0^12 + 22407889971530/28059397273*c_1001_0^11 + 12302322523751/28059397273*c_1001_0^10 - 39108018091181/28059397273*c_1001_0^9 - 58969265110136/28059397273*c_1001_0^8 + 2586647409555/28059397273*c_1001_0^7 + 69472894859712/28059397273*c_1001_0^6 + 54852084349289/28059397273*c_1001_0^5 - 6240056371191/28059397273*c_1001_0^4 - 31529836921680/28059397273*c_1001_0^3 - 13797217656340/28059397273*c_1001_0^2 + 1998386830180/28059397273*c_1001_0 + 1919047392961/28059397273, c_0101_0 - 1, c_0101_1 - 41443526034/28059397273*c_1001_0^17 - 608426146924/28059397273*c_1001_0^16 - 3676377144268/28059397273*c_1001_0^15 - 11311672903426/28059397273*c_1001_0^14 - 16198830317376/28059397273*c_1001_0^13 + 822048801039/28059397273*c_1001_0^12 + 33269288101103/28059397273*c_1001_0^11 + 21355483898980/28059397273*c_1001_0^10 - 56115707080851/28059397273*c_1001_0^9 - 92244805382476/28059397273*c_1001_0^8 - 2576467775966/28059397273*c_1001_0^7 + 104475358876799/28059397273*c_1001_0^6 + 88731453895139/28059397273*c_1001_0^5 - 5334527348552/28059397273*c_1001_0^4 - 48799409728873/28059397273*c_1001_0^3 - 23212217173566/28059397273*c_1001_0^2 + 2632014628499/28059397273*c_1001_0 + 3192887233685/28059397273, c_0101_2 - 98918273167/84178191819*c_1001_0^17 - 1414976164852/84178191819*c_1001_0^16 - 2764219349427/28059397273*c_1001_0^15 - 24532197143051/84178191819*c_1001_0^14 - 32790271416863/84178191819*c_1001_0^13 + 6270861438788/84178191819*c_1001_0^12 + 71119664379046/84178191819*c_1001_0^11 + 35598469851077/84178191819*c_1001_0^10 - 126039623655503/84178191819*c_1001_0^9 - 183472018271606/84178191819*c_1001_0^8 + 4058514639071/28059397273*c_1001_0^7 + 73134249196355/28059397273*c_1001_0^6 + 170920654879601/84178191819*c_1001_0^5 - 6777602051077/28059397273*c_1001_0^4 - 32907425703292/28059397273*c_1001_0^3 - 43521840844474/84178191819*c_1001_0^2 + 5929258244492/84178191819*c_1001_0 + 2043696622354/28059397273, c_1001_0^18 + 16*c_1001_0^17 + 108*c_1001_0^16 + 389*c_1001_0^15 + 746*c_1001_0^14 + 484*c_1001_0^13 - 838*c_1001_0^12 - 1559*c_1001_0^11 + 704*c_1001_0^10 + 3998*c_1001_0^9 + 2928*c_1001_0^8 - 2478*c_1001_0^7 - 5414*c_1001_0^6 - 2616*c_1001_0^5 + 1368*c_1001_0^4 + 2083*c_1001_0^3 + 652*c_1001_0^2 - 162*c_1001_0 - 99 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB