Magma V2.19-8 Tue Aug 20 2013 16:16:20 on localhost [Seed = 3297073185] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0618 geometric_solution 4.62030887 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 1 0132 3201 2310 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.833988057404 0.888259589106 0 2 2 0 0132 0132 3201 1023 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 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 0 0 0 0 0 0 0 0 -0.118308374356 0.143920061417 1 1 3 3 2310 0132 0132 2310 0 0 0 0 0 1 -1 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 1 -1 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 1.310188549658 2.991995212989 2 4 5 2 3201 0132 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 -1 0 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 0.375146671897 0.247823617520 5 3 5 6 2031 0132 2103 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 0 -1 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 0.667265019141 0.734503048579 4 6 4 3 2103 2310 1302 0132 0 0 0 0 0 0 -1 1 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 1 -1 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.667265019141 0.734503048579 6 6 4 5 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 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 1.322392889954 0.745887276854 ==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_5']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_5']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_5'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_3']), '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_0'], 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : d['c_0011_5'], 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0011_6']), 'c_1001_2' : d['c_0011_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_5'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : negation(d['c_0011_5']), 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_0011_5'], '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_0011_5, c_0011_6, c_0101_0, c_0101_2, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t - 2465203401/1215603449*c_0101_6^11 - 21681184337/1215603449*c_0101_6^10 - 81296910771/1215603449*c_0101_6^9 - 119862676758/1215603449*c_0101_6^8 + 128688905134/1215603449*c_0101_6^7 + 339600573162/1215603449*c_0101_6^6 - 356659838576/1215603449*c_0101_6^5 - 532423774769/1215603449*c_0101_6^4 + 594321198022/1215603449*c_0101_6^3 + 488352379088/1215603449*c_0101_6^2 - 43420464429/1215603449*c_0101_6 + 144419263968/1215603449, c_0011_0 - 1, c_0011_3 + 2749457/1215603449*c_0101_6^11 + 97605514/1215603449*c_0101_6^10 + 352778489/1215603449*c_0101_6^9 + 673905765/1215603449*c_0101_6^8 - 1547477466/1215603449*c_0101_6^7 - 2111677282/1215603449*c_0101_6^6 + 5392706226/1215603449*c_0101_6^5 + 320357039/1215603449*c_0101_6^4 - 5856542388/1215603449*c_0101_6^3 + 2272779042/1215603449*c_0101_6^2 - 794072290/1215603449*c_0101_6 + 518334230/1215603449, c_0011_5 - 25800460/1215603449*c_0101_2*c_0101_6^11 - 165737142/1215603449*c_0101_2*c_0101_6^10 - 558601201/1215603449*c_0101_2*c_0101_6^9 - 482029756/1215603449*c_0101_2*c_0101_6^8 + 951845680/1215603449*c_0101_2*c_0101_6^7 + 1276558327/1215603449*c_0101_2*c_0101_6^6 - 2108592474/1215603449*c_0101_2*c_0101_6^5 - 2233067538/1215603449*c_0101_2*c_0101_6^4 + 3361656100/1215603449*c_0101_2*c_0101_6^3 + 3582078391/1215603449*c_0101_2*c_0101_6^2 - 145802216/1215603449*c_0101_2*c_0101_6 + 306861372/1215603449*c_0101_2, c_0011_6 - 116539967/1215603449*c_0101_2*c_0101_6^11 - 582781121/1215603449*c_0101_2*c_0101_6^10 - 1521551422/1215603449*c_0101_2*c_0101_6^9 + 744258778/1215603449*c_0101_2*c_0101_6^8 + 5318206818/1215603449*c_0101_2*c_0101_6^7 - 2877998532/1215603449*c_0101_2*c_0101_6^6 - 9119234650/1215603449*c_0101_2*c_0101_6^5 + 7204728258/1215603449*c_0101_2*c_0101_6^4 + 6978695883/1215603449*c_0101_2*c_0101_6^3 - 3589939403/1215603449*c_0101_2*c_0101_6^2 + 1672625533/1215603449*c_0101_2*c_0101_6 - 142849706/1215603449*c_0101_2, c_0101_0 + 99988673/1215603449*c_0101_2*c_0101_6^11 + 485101328/1215603449*c_0101_2*c_0101_6^10 + 1368609498/1215603449*c_0101_2*c_0101_6^9 - 285646978/1215603449*c_0101_2*c_0101_6^8 - 3125814299/1215603449*c_0101_2*c_0101_6^7 + 1411494078/1215603449*c_0101_2*c_0101_6^6 + 4306372197/1215603449*c_0101_2*c_0101_6^5 - 1264347548/1215603449*c_0101_2*c_0101_6^4 - 4698814460/1215603449*c_0101_2*c_0101_6^3 - 1751372858/1215603449*c_0101_2*c_0101_6^2 - 389975846/1215603449*c_0101_2*c_0101_6 - 1744674536/1215603449*c_0101_2, c_0101_2^2 + 36852840/1215603449*c_0101_6^11 + 68205907/1215603449*c_0101_6^10 + 5986147/1215603449*c_0101_6^9 - 1324393574/1215603449*c_0101_6^8 - 49283267/1215603449*c_0101_6^7 + 4413300691/1215603449*c_0101_6^6 - 3863957525/1215603449*c_0101_6^5 - 4348027250/1215603449*c_0101_6^4 + 6071547253/1215603449*c_0101_6^3 - 1570720765/1215603449*c_0101_6^2 + 451297109/1215603449*c_0101_6 - 671609039/1215603449, c_0101_6^12 + 5*c_0101_6^11 + 13*c_0101_6^10 - 6*c_0101_6^9 - 44*c_0101_6^8 + 31*c_0101_6^7 + 71*c_0101_6^6 - 71*c_0101_6^5 - 47*c_0101_6^4 + 26*c_0101_6^3 - 18*c_0101_6^2 + 3*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB