Magma V2.19-8 Tue Aug 20 2013 16:17:34 on localhost [Seed = 711702258] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1811 geometric_solution 5.47375747 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 1 2 0 3012 0132 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 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 0 -1 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.384831999145 0.623571972395 3 0 3 4 0132 0132 1023 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 -1 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 1.313591210762 1.569845354086 5 4 5 0 0132 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.313591210762 1.569845354086 1 5 1 5 0132 2310 1023 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.508750673659 0.336172911616 6 2 1 6 0132 0132 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 -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 0.135569333942 0.429305549506 2 3 2 3 0132 2310 1023 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 0.508750673659 0.336172911616 4 4 6 6 0132 2310 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2.119754144939 2.352720471518 ==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' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(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' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0101_6'], 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_2']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_2'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_2'], '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' : negation(d['c_0011_2']), 'c_0011_6' : d['c_0011_2'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0101_0']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0101_0'], '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_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0101_0'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], '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_2, c_0101_0, c_0101_1, c_0101_2, c_0101_6, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 8619156031159/13614203068818*c_1001_0^9 - 1292899330651/206275804073*c_1001_0^8 + 704623201477529/13614203068818*c_1001_0^7 - 1583370020281735/6807101534409*c_1001_0^6 + 9019150638281035/13614203068818*c_1001_0^5 - 722129771869940/618827412219*c_1001_0^4 + 2821309608260200/2269033844803*c_1001_0^3 - 9828270657855359/13614203068818*c_1001_0^2 + 327224721515540/2269033844803*c_1001_0 + 582458558968601/13614203068818, c_0011_0 - 1, c_0011_2 + 619736808/10856621267*c_1001_0^9 - 6375176802/10856621267*c_1001_0^8 + 53176776130/10856621267*c_1001_0^7 - 248436932848/10856621267*c_1001_0^6 + 746077442730/10856621267*c_1001_0^5 - 1428689779100/10856621267*c_1001_0^4 + 1747359102999/10856621267*c_1001_0^3 - 1297214144379/10856621267*c_1001_0^2 + 517942347793/10856621267*c_1001_0 - 75499998082/10856621267, c_0101_0 - 678414/14117843*c_1001_0^9 + 7284099/14117843*c_1001_0^8 - 61068747/14117843*c_1001_0^7 + 295794690/14117843*c_1001_0^6 - 919526770/14117843*c_1001_0^5 + 1856735980/14117843*c_1001_0^4 - 2426997769/14117843*c_1001_0^3 + 2003101032/14117843*c_1001_0^2 - 944775641/14117843*c_1001_0 + 181253086/14117843, c_0101_1 - 2616867253/32569863801*c_1001_0^9 + 26926329359/32569863801*c_1001_0^8 - 74747708041/10856621267*c_1001_0^7 + 1046845475243/32569863801*c_1001_0^6 - 3130269603149/32569863801*c_1001_0^5 + 1988548836655/10856621267*c_1001_0^4 - 2412871348304/10856621267*c_1001_0^3 + 5385020605436/32569863801*c_1001_0^2 - 2250145009654/32569863801*c_1001_0 + 128034711443/10856621267, c_0101_2 + 2616867253/32569863801*c_1001_0^9 - 26926329359/32569863801*c_1001_0^8 + 74747708041/10856621267*c_1001_0^7 - 1046845475243/32569863801*c_1001_0^6 + 3130269603149/32569863801*c_1001_0^5 - 1988548836655/10856621267*c_1001_0^4 + 2412871348304/10856621267*c_1001_0^3 - 5385020605436/32569863801*c_1001_0^2 + 2250145009654/32569863801*c_1001_0 - 128034711443/10856621267, c_0101_6 + 2462637971/32569863801*c_1001_0^9 - 24641849101/32569863801*c_1001_0^8 + 68316246889/10856621267*c_1001_0^7 - 936123315391/32569863801*c_1001_0^6 + 2754146811520/32569863801*c_1001_0^5 - 1721598241101/10856621267*c_1001_0^4 + 2085678462989/10856621267*c_1001_0^3 - 4824108709189/32569863801*c_1001_0^2 + 2172996478934/32569863801*c_1001_0 - 139096181586/10856621267, c_1001_0^10 - 11*c_1001_0^9 + 93*c_1001_0^8 - 461*c_1001_0^7 + 1481*c_1001_0^6 - 3135*c_1001_0^5 + 4404*c_1001_0^4 - 4061*c_1001_0^3 + 2347*c_1001_0^2 - 753*c_1001_0 + 99 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB