Magma V2.19-8 Tue Aug 20 2013 16:16:34 on localhost [Seed = 2917937521] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0869 geometric_solution 4.77754264 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 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 0.371975699694 0.200824196870 2 0 3 0 0132 2310 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 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 0.546415766902 0.923005564761 1 4 3 3 0132 0132 3012 1230 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 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.387909167160 1.401473910724 2 2 4 1 3012 1230 3201 0132 0 0 0 0 0 0 0 0 1 0 -1 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 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.387909167160 1.401473910724 3 2 5 5 2310 0132 3201 0132 0 0 0 0 0 0 0 0 -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 0 0 0 1 0 -1 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 -0.282642238414 0.446586016120 4 6 4 6 2310 0132 0132 1023 0 0 0 0 0 0 0 0 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 0 0 0 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 0.040667795990 2.971951171851 6 5 6 5 2031 0132 1302 1023 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.347933224949 0.149004683051 ==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_0011_5'], 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : negation(d['c_0011_5']), 's_3_6' : d['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_6' : d['c_0011_5'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0011_3'], '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_6' : negation(d['c_0011_5']), '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_3']), 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : d['c_0110_6'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_3']), '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' : negation(d['c_0011_3']), 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : d['c_0110_6'], 'c_1010_4' : negation(d['c_0011_3']), '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 8 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, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 290589695491/4432385277*c_0110_6^17 + 11267836940306/4432385277*c_0110_6^15 - 20855510244976/1477461759*c_0110_6^13 + 9867097205683/1477461759*c_0110_6^11 - 845436622156/4432385277*c_0110_6^9 + 7591983895979/1477461759*c_0110_6^7 - 7023614021957/1477461759*c_0110_6^5 + 12191760331276/4432385277*c_0110_6^3 - 1389731958571/4432385277*c_0110_6, c_0011_0 - 1, c_0011_1 - 3181748675/4432385277*c_0110_6^16 + 123436789315/4432385277*c_0110_6^14 - 76384850725/492487253*c_0110_6^12 + 112500077494/1477461759*c_0110_6^10 - 18255288686/4432385277*c_0110_6^8 + 29331259981/492487253*c_0110_6^6 - 25784438905/492487253*c_0110_6^4 + 137899113914/4432385277*c_0110_6^2 - 22286624564/4432385277, c_0011_3 - 1617307412/4432385277*c_0110_6^16 + 62728204648/4432385277*c_0110_6^14 - 116305671032/1477461759*c_0110_6^12 + 57078915974/1477461759*c_0110_6^10 - 21263409758/4432385277*c_0110_6^8 + 13497427679/492487253*c_0110_6^6 - 12482130327/492487253*c_0110_6^4 + 74229698189/4432385277*c_0110_6^2 - 10213601768/4432385277, c_0011_5 + 1035189248/4432385277*c_0110_6^16 - 40099271560/4432385277*c_0110_6^14 + 24583386415/492487253*c_0110_6^12 - 31634678245/1477461759*c_0110_6^10 - 8881214098/4432385277*c_0110_6^8 - 9879448695/492487253*c_0110_6^6 + 8947445264/492487253*c_0110_6^4 - 36391627442/4432385277*c_0110_6^2 + 4225747331/4432385277, c_0101_0 - 1314335122/1477461759*c_0110_6^17 + 17035264951/492487253*c_0110_6^15 - 288471230014/1477461759*c_0110_6^13 + 164301296303/1477461759*c_0110_6^11 - 18615694142/1477461759*c_0110_6^9 + 35561715093/492487253*c_0110_6^7 - 35063136407/492487253*c_0110_6^5 + 66007035004/1477461759*c_0110_6^3 - 13859269421/1477461759*c_0110_6, c_0101_3 + 163126637/1477461759*c_0110_6^17 - 2171737916/492487253*c_0110_6^15 + 42480204002/1477461759*c_0110_6^13 - 57317967547/1477461759*c_0110_6^11 + 18320849833/1477461759*c_0110_6^9 - 3344777894/492487253*c_0110_6^7 + 9260716363/492487253*c_0110_6^5 - 19685747018/1477461759*c_0110_6^3 + 5347733446/1477461759*c_0110_6, c_0110_6^18 - 39*c_0110_6^16 + 224*c_0110_6^14 - 150*c_0110_6^12 + 25*c_0110_6^10 - 79*c_0110_6^8 + 90*c_0110_6^6 - 58*c_0110_6^4 + 14*c_0110_6^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB