Magma V2.19-8 Tue Aug 20 2013 16:16:16 on localhost [Seed = 172725992] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0528 geometric_solution 4.54179847 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1230 3012 0132 0132 0 0 0 0 0 -1 1 0 1 0 0 -1 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 1 0 -1 -1 0 1 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 0.208588525554 0.454689138267 2 3 3 0 1023 0132 3201 0132 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 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 0.415327643350 0.514504833095 4 1 0 5 0132 1023 0132 0132 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 -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 0.415327643350 0.514504833095 1 1 4 6 2310 0132 2031 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 2.280842292374 2.292430787186 2 5 6 3 0132 2310 3012 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.498090472003 0.504630156070 6 6 2 4 3012 1023 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 1.830280932800 0.913707055746 5 4 3 5 1023 1230 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.339218316777 0.130085375850 ==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' : negation(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' : negation(d['1']), 's_1_2' : 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' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : d['c_0110_5'], 'c_1100_5' : d['c_0011_1'], 'c_1100_4' : d['c_0101_3'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0110_5'], 'c_1100_2' : d['c_0011_1'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : negation(d['c_0101_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_1']), 'c_0011_6' : d['c_0011_5'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : negation(d['c_0101_3']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0011_0'], 'c_0110_6' : d['c_0011_5'], 'c_1010_6' : d['c_0101_4'], 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : negation(d['c_0110_5']), 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : d['c_0101_0'], '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_5, c_0101_0, c_0101_3, c_0101_4, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 63516303829781/843049736875*c_0110_5^13 + 218233852499077/843049736875*c_0110_5^12 - 377391976861148/843049736875*c_0110_5^11 + 1545816430268702/843049736875*c_0110_5^10 - 2395659073295518/843049736875*c_0110_5^9 + 5984632076372254/843049736875*c_0110_5^8 - 305129635737663/33721989475*c_0110_5^7 - 221183006699547/168609947375*c_0110_5^6 - 318458859108453/168609947375*c_0110_5^5 + 2077400454974863/843049736875*c_0110_5^4 + 922626873523188/168609947375*c_0110_5^3 - 899433836642943/843049736875*c_0110_5^2 - 351830300972562/843049736875*c_0110_5 + 119821099462938/843049736875, c_0011_0 - 1, c_0011_1 - 14884811112/33721989475*c_0110_5^13 - 54729163517/33721989475*c_0110_5^12 + 74470894881/33721989475*c_0110_5^11 - 69300968384/6744397895*c_0110_5^10 + 483473963232/33721989475*c_0110_5^9 - 1310396926321/33721989475*c_0110_5^8 + 1517874487289/33721989475*c_0110_5^7 + 511617171577/33721989475*c_0110_5^6 + 668198870851/33721989475*c_0110_5^5 - 455313647008/33721989475*c_0110_5^4 - 215461091909/6744397895*c_0110_5^3 - 116525142629/33721989475*c_0110_5^2 + 49417893043/33721989475*c_0110_5 + 12831263947/33721989475, c_0011_5 - 55593760147/168609947375*c_0110_5^13 - 178641155219/168609947375*c_0110_5^12 + 377070755101/168609947375*c_0110_5^11 - 1406870885139/168609947375*c_0110_5^10 + 2390292478931/168609947375*c_0110_5^9 - 5628544162793/168609947375*c_0110_5^8 + 1562891110207/33721989475*c_0110_5^7 - 12437907379/6744397895*c_0110_5^6 + 239089596804/33721989475*c_0110_5^5 - 2849197052786/168609947375*c_0110_5^4 - 719791549051/33721989475*c_0110_5^3 + 1526641655291/168609947375*c_0110_5^2 + 645198213479/168609947375*c_0110_5 - 122190915861/168609947375, c_0101_0 - 31543355492/168609947375*c_0110_5^13 - 103982903054/168609947375*c_0110_5^12 + 207451712261/168609947375*c_0110_5^11 - 775678402419/168609947375*c_0110_5^10 + 1271263903206/168609947375*c_0110_5^9 - 3025583448868/168609947375*c_0110_5^8 + 809299337264/33721989475*c_0110_5^7 + 85040945036/33721989475*c_0110_5^6 + 51702549812/33721989475*c_0110_5^5 - 1463135294551/168609947375*c_0110_5^4 - 434426791656/33721989475*c_0110_5^3 + 637608450851/168609947375*c_0110_5^2 + 634930477654/168609947375*c_0110_5 - 47766860301/168609947375, c_0101_3 + 17399825558/168609947375*c_0110_5^13 + 70879861931/168609947375*c_0110_5^12 - 57680401514/168609947375*c_0110_5^11 + 380112109726/168609947375*c_0110_5^10 - 444565450039/168609947375*c_0110_5^9 + 1417940626542/168609947375*c_0110_5^8 - 283681773007/33721989475*c_0110_5^7 - 164081505457/33721989475*c_0110_5^6 - 377460227252/33721989475*c_0110_5^5 + 521478506014/168609947375*c_0110_5^4 + 273034042854/33721989475*c_0110_5^3 + 1139186755876/168609947375*c_0110_5^2 + 218400082674/168609947375*c_0110_5 - 150360628836/168609947375, c_0101_4 - 17399825558/168609947375*c_0110_5^13 - 70879861931/168609947375*c_0110_5^12 + 57680401514/168609947375*c_0110_5^11 - 380112109726/168609947375*c_0110_5^10 + 444565450039/168609947375*c_0110_5^9 - 1417940626542/168609947375*c_0110_5^8 + 283681773007/33721989475*c_0110_5^7 + 164081505457/33721989475*c_0110_5^6 + 377460227252/33721989475*c_0110_5^5 - 521478506014/168609947375*c_0110_5^4 - 273034042854/33721989475*c_0110_5^3 - 1139186755876/168609947375*c_0110_5^2 - 218400082674/168609947375*c_0110_5 + 150360628836/168609947375, c_0110_5^14 + 4*c_0110_5^13 - 4*c_0110_5^12 + 21*c_0110_5^11 - 24*c_0110_5^10 + 73*c_0110_5^9 - 67*c_0110_5^8 - 85*c_0110_5^7 - 35*c_0110_5^6 + 18*c_0110_5^5 + 91*c_0110_5^4 + 27*c_0110_5^3 - 13*c_0110_5^2 - c_0110_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB