Magma V2.19-8 Tue Aug 20 2013 16:18:45 on localhost [Seed = 2968595908] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2923 geometric_solution 6.12174876 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 3201 0132 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 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.335516942327 0.494276793991 0 3 0 4 0132 1302 2310 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 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.059863694907 1.384989847525 5 3 6 0 0132 3012 0132 0132 0 0 0 0 0 0 1 -1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.601135374732 0.375839587976 2 4 0 1 1230 1302 0132 2031 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 -1 2 -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 0.847347502848 2.089280796313 5 6 1 3 2103 2103 0132 2031 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 -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 1.328006558213 1.251345459209 2 5 4 5 0132 1302 2103 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 0 0 -1 0 1 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 0.808989730788 0.850086945966 6 4 6 2 2310 2103 3201 0132 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 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 0.828805544957 1.336335432109 ==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' : negation(d['c_0011_6']), 'c_1100_5' : d['c_0011_2'], 'c_1100_4' : d['c_0011_0'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_6']), 'c_1100_3' : negation(d['c_0011_6']), 'c_1100_2' : negation(d['c_0011_6']), 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], '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' : d['c_0011_2'], 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : d['c_0011_6'], 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : d['c_0011_2'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0011_2']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_2'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : negation(d['c_0011_2']), 'c_0110_6' : d['c_0011_4'], 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : negation(d['c_0011_2']), 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0011_6'], 'c_1010_0' : negation(d['c_0011_2'])})} 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_2, c_0011_3, c_0011_4, c_0011_6, c_0101_0, c_0101_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 580277885219/95258383952*c_0101_0^11 - 37562581926/5953648997*c_0101_0^10 - 605864763435/47629191976*c_0101_0^9 + 1428103243573/23814595988*c_0101_0^8 + 3020109200571/95258383952*c_0101_0^7 - 8928373951979/95258383952*c_0101_0^6 - 10475781011963/95258383952*c_0101_0^5 - 1220463506311/47629191976*c_0101_0^4 + 14847089171615/95258383952*c_0101_0^3 + 4819697235669/23814595988*c_0101_0^2 + 11103094197823/95258383952*c_0101_0 - 14703375872035/95258383952, c_0011_0 - 1, c_0011_2 + 124843824/5953648997*c_0101_0^11 + 355524269/5953648997*c_0101_0^10 + 225861949/5953648997*c_0101_0^9 - 1019275376/5953648997*c_0101_0^8 - 3466482755/5953648997*c_0101_0^7 + 3078277036/5953648997*c_0101_0^6 + 6680498740/5953648997*c_0101_0^5 + 108612627/5953648997*c_0101_0^4 - 3612827222/5953648997*c_0101_0^3 - 11277248401/5953648997*c_0101_0^2 - 8446784399/5953648997*c_0101_0 + 4895823031/5953648997, c_0011_3 - 35709032/5953648997*c_0101_0^11 + 180143700/5953648997*c_0101_0^10 - 31352687/5953648997*c_0101_0^9 + 989480760/5953648997*c_0101_0^8 - 1987383156/5953648997*c_0101_0^7 + 1070310643/5953648997*c_0101_0^6 + 637296752/5953648997*c_0101_0^5 + 66963761/5953648997*c_0101_0^4 + 3351018778/5953648997*c_0101_0^3 - 5810384308/5953648997*c_0101_0^2 + 2156072948/5953648997*c_0101_0 + 1578672341/5953648997, c_0011_4 - 340203242/5953648997*c_0101_0^11 - 190578254/5953648997*c_0101_0^10 - 763591663/5953648997*c_0101_0^9 + 3518949946/5953648997*c_0101_0^8 - 116525938/5953648997*c_0101_0^7 - 3964431698/5953648997*c_0101_0^6 - 3044118576/5953648997*c_0101_0^5 - 4307252309/5953648997*c_0101_0^4 + 8072134426/5953648997*c_0101_0^3 + 5903385698/5953648997*c_0101_0^2 + 6930115782/5953648997*c_0101_0 - 4836830860/5953648997, c_0011_6 + 230680445/5953648997*c_0101_0^11 - 23825699/5953648997*c_0101_0^10 + 229162864/5953648997*c_0101_0^9 - 2842263635/5953648997*c_0101_0^8 + 1080775852/5953648997*c_0101_0^7 + 4433309908/5953648997*c_0101_0^6 - 265918845/5953648997*c_0101_0^5 - 242043974/5953648997*c_0101_0^4 - 7157402209/5953648997*c_0101_0^3 - 6324439391/5953648997*c_0101_0^2 + 1400195959/5953648997*c_0101_0 + 5828805173/5953648997, c_0101_0^12 + c_0101_0^11 + 2*c_0101_0^10 - 10*c_0101_0^9 - 5*c_0101_0^8 + 16*c_0101_0^7 + 18*c_0101_0^6 + 3*c_0101_0^5 - 27*c_0101_0^4 - 33*c_0101_0^3 - 17*c_0101_0^2 + 28*c_0101_0 + 1, c_0101_1 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB