Magma V2.19-8 Tue Aug 20 2013 16:19:19 on localhost [Seed = 3170705843] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3424 geometric_solution 6.59531513 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 0.301633456917 0.243965422321 2 0 3 0 0132 2310 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.694182424452 1.377047146737 1 4 5 6 0132 0132 0132 0132 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 0 1 -1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.412209539462 0.920874100888 6 5 4 1 3201 0132 3201 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 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 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.412209539462 0.920874100888 3 2 6 6 2310 0132 1302 2031 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 1 -1 -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 0.487235497649 0.946800864335 5 3 5 2 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 0.608985696373 0.789082841660 4 4 2 3 2031 1302 0132 2310 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 -1 0 1 0 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.436598677578 0.753427887759 ==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' : 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' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_3'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0101_1'], '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_0101_1'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : negation(d['c_0011_6']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], '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_1'], 'c_0011_6' : d['c_0011_6'], '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' : d['c_0101_0'], 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_6' : negation(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_6'], 'c_1001_2' : d['c_0011_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : negation(d['c_0101_3']), 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : d['c_0011_6'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(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_6, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 32 Groebner basis: [ t + 50896886723221/86242000512000*c_0101_0*c_0101_3^15 + 126204000950063/28747333504000*c_0101_0*c_0101_3^13 + 2031951922152223/86242000512000*c_0101_0*c_0101_3^11 + 2222613231805483/17248400102400*c_0101_0*c_0101_3^9 + 959968769362421/2156050012800*c_0101_0*c_0101_3^7 + 570908773154431/898354172000*c_0101_0*c_0101_3^5 + 136920399627739/269506251600*c_0101_0*c_0101_3^3 + 10522482215351/336882814500*c_0101_0*c_0101_3, c_0011_0 - 1, c_0011_1 + 72196751/287473335040*c_0101_3^14 - 145847513/287473335040*c_0101_3^12 - 711747219/287473335040*c_0101_3^10 - 804226063/57494667008*c_0101_3^8 - 1394387913/7186833376*c_0101_3^6 - 14035998959/17967083440*c_0101_3^4 - 2716161683/4491770860*c_0101_3^2 - 921533523/1122942715, c_0011_3 - 882556433/143736667520*c_0101_0*c_0101_3^15 - 6270106809/143736667520*c_0101_0*c_0101_3^13 - 33254917461/143736667520*c_0101_0*c_0101_3^11 - 36507623019/28747333504*c_0101_0*c_0101_3^9 - 60865510193/14373666752*c_0101_0*c_0101_3^7 - 48034372283/8983541720*c_0101_0*c_0101_3^5 - 36022011377/8983541720*c_0101_0*c_0101_3^3 + 731570156/1122942715*c_0101_0*c_0101_3, c_0011_6 - 129559969/574946670080*c_0101_0*c_0101_3^15 - 1344958277/574946670080*c_0101_0*c_0101_3^13 - 9932583423/574946670080*c_0101_0*c_0101_3^11 - 10981674435/114989334016*c_0101_0*c_0101_3^9 - 11908266603/28747333504*c_0101_0*c_0101_3^7 - 47420871919/35934166880*c_0101_0*c_0101_3^5 - 21598652419/8983541720*c_0101_0*c_0101_3^3 - 1349784723/1122942715*c_0101_0*c_0101_3, c_0101_0^2 - 72196751/287473335040*c_0101_3^14 + 145847513/287473335040*c_0101_3^12 + 711747219/287473335040*c_0101_3^10 + 804226063/57494667008*c_0101_3^8 + 1394387913/7186833376*c_0101_3^6 + 14035998959/17967083440*c_0101_3^4 + 2716161683/4491770860*c_0101_3^2 - 201409192/1122942715, c_0101_1 + 9205669/17967083440*c_0101_3^14 + 24597539/35934166880*c_0101_3^12 - 168322493/71868333760*c_0101_3^10 + 279367/1796708344*c_0101_3^8 - 3599378881/14373666752*c_0101_3^6 - 6680309109/4491770860*c_0101_3^4 - 6116117711/4491770860*c_0101_3^2 - 466326804/1122942715, c_0101_3^16 + 83/11*c_0101_3^14 + 449/11*c_0101_3^12 + 2457/11*c_0101_3^10 + 8600/11*c_0101_3^8 + 12976/11*c_0101_3^6 + 11584/11*c_0101_3^4 + 256*c_0101_3^2 + 1024/11 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB