Magma V2.19-8 Tue Aug 20 2013 16:16:49 on localhost [Seed = 1461111682] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1095 geometric_solution 4.96150237 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 3 0132 0132 1023 0132 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 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 0.537304478313 0.872633910482 0 3 2 4 0132 0321 2103 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 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 0.976744203922 1.661865372050 1 0 0 3 2103 0132 1023 1230 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 1 0 -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 0.504209441708 0.300807823840 2 4 0 1 3012 1023 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.976744203922 1.661865372050 3 5 1 5 1023 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.573063325354 0.619839180440 6 4 6 4 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.743536671312 0.130547405130 5 6 5 6 0132 2310 1023 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.816824553503 0.061040791874 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_0' : negation(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' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : negation(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' : 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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : d['c_0011_3'], '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_0101_6'], 'c_1001_4' : d['c_0110_4'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : d['c_0110_4'], 'c_1010_4' : d['c_0101_6'], 'c_1010_3' : d['c_0110_4'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0110_4'], 'c_1010_0' : d['c_0101_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_3, c_0101_0, c_0101_1, c_0101_5, c_0101_6, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t + 532006134441635/3069789005147742464*c_0110_4^25 + 10694334840033909/3069789005147742464*c_0110_4^23 + 46851248594632233/1534894502573871232*c_0110_4^21 + 474363504460393157/3069789005147742464*c_0110_4^19 + 389011683348894391/767447251286935616*c_0110_4^17 + 880465961903120171/767447251286935616*c_0110_4^15 + 357441474670293791/191861812821733904*c_0110_4^13 + 6931874807247542303/3069789005147742464*c_0110_4^11 + 6906365525079753721/3069789005147742464*c_0110_4^9 + 416727416316622107/191861812821733904*c_0110_4^7 + 6362469514481552375/3069789005147742464*c_0110_4^5 + 2615838091902528635/1534894502573871232*c_0110_4^3 + 25745626461835703/23982726602716738*c_0110_4, c_0011_0 - 1, c_0011_3 - 558343551347149/12279156020590969856*c_0110_4^25 - 8131161145490007/12279156020590969856*c_0110_4^23 - 24885996055304153/6139578010295484928*c_0110_4^21 - 166165985382435531/12279156020590969856*c_0110_4^19 - 40678586028856639/1534894502573871232*c_0110_4^17 - 97523524130009189/3069789005147742464*c_0110_4^15 - 31422696304686415/1534894502573871232*c_0110_4^13 + 360498121611836167/12279156020590969856*c_0110_4^11 + 720034035836498933/12279156020590969856*c_0110_4^9 - 385583693692096395/3069789005147742464*c_0110_4^7 - 3051415570956660857/12279156020590969856*c_0110_4^5 - 349688777134155207/6139578010295484928*c_0110_4^3 + 15979196678649503/191861812821733904*c_0110_4, c_0101_0 + 208599590278401/12279156020590969856*c_0110_4^25 + 2977329034373939/12279156020590969856*c_0110_4^23 + 9054242651292285/6139578010295484928*c_0110_4^21 + 59876998079823095/12279156020590969856*c_0110_4^19 + 14725703389603787/1534894502573871232*c_0110_4^17 + 34436974073443065/3069789005147742464*c_0110_4^15 + 8200838835439563/1534894502573871232*c_0110_4^13 + 580285091384868061/12279156020590969856*c_0110_4^11 + 3941263514894560695/12279156020590969856*c_0110_4^9 + 2059638234931103703/3069789005147742464*c_0110_4^7 + 6033540106944528477/12279156020590969856*c_0110_4^5 + 520178438722443683/6139578010295484928*c_0110_4^3 - 5705041218069303/191861812821733904*c_0110_4, c_0101_1 + 87435990267187/3069789005147742464*c_0110_4^24 + 1288458027779017/3069789005147742464*c_0110_4^22 + 3957938351002967/1534894502573871232*c_0110_4^20 + 26572246825653109/3069789005147742464*c_0110_4^18 + 6488220659813213/383723625643467808*c_0110_4^16 + 15771637514141531/767447251286935616*c_0110_4^14 + 5805464367311713/383723625643467808*c_0110_4^12 - 235195803249176057/3069789005147742464*c_0110_4^10 - 1165324387682764907/3069789005147742464*c_0110_4^8 - 418513635309751827/767447251286935616*c_0110_4^6 - 745531133996966905/3069789005147742464*c_0110_4^4 - 42622415397072119/1534894502573871232*c_0110_4^2 - 1284269432572525/23982726602716738, c_0101_5 + 3826394500983637/24558312041181939712*c_0110_4^25 + 59375575378172495/24558312041181939712*c_0110_4^23 + 188141615162894609/12279156020590969856*c_0110_4^21 + 1272570090316681667/24558312041181939712*c_0110_4^19 + 323786650336403451/3069789005147742464*c_0110_4^17 + 912038830932004589/6139578010295484928*c_0110_4^15 + 534044202690951063/3069789005147742464*c_0110_4^13 + 4138653328305141857/24558312041181939712*c_0110_4^11 + 2474690322605576867/24558312041181939712*c_0110_4^9 + 234535179474268299/6139578010295484928*c_0110_4^7 - 1955189547701829791/24558312041181939712*c_0110_4^5 - 5234178426589284209/12279156020590969856*c_0110_4^3 - 88198245862689581/191861812821733904*c_0110_4, c_0101_6 - 1569278817689927/12279156020590969856*c_0110_4^25 - 22927921540246565/12279156020590969856*c_0110_4^23 - 70223641942600491/6139578010295484928*c_0110_4^21 - 469669209259847809/12279156020590969856*c_0110_4^19 - 114923484197584877/1534894502573871232*c_0110_4^17 - 271236919697625871/3069789005147742464*c_0110_4^15 - 148777901178381389/1534894502573871232*c_0110_4^13 - 2462965119560634187/12279156020590969856*c_0110_4^11 - 3908231412166219457/12279156020590969856*c_0110_4^9 - 520731448733458145/3069789005147742464*c_0110_4^7 + 1104791407148087349/12279156020590969856*c_0110_4^5 + 704150453129391179/6139578010295484928*c_0110_4^3 + 45214622433205369/191861812821733904*c_0110_4, c_0110_4^26 + 19*c_0110_4^24 + 154*c_0110_4^22 + 695*c_0110_4^20 + 1912*c_0110_4^18 + 3300*c_0110_4^16 + 3544*c_0110_4^14 + 2269*c_0110_4^12 + 791*c_0110_4^10 + 124*c_0110_4^8 - 35*c_0110_4^6 - 602*c_0110_4^4 - 3712*c_0110_4^2 - 8192 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB