Magma V2.19-8 Tue Aug 20 2013 16:18:01 on localhost [Seed = 3246415118] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2247 geometric_solution 5.67892975 oriented_manifold CS_known 0.0000000000000007 1 0 torus 0.000000000000 0.000000000000 7 1 1 0 0 0132 3201 2031 1302 0 0 0 0 0 -1 -1 2 1 0 -2 1 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 1 -1 0 0 1 -1 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.594837313493 0.150759494630 0 2 0 3 0132 0132 2310 0132 0 0 0 0 0 -1 1 0 -1 0 0 1 -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 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 0.824280014338 0.464146972512 4 1 5 3 0132 0132 0132 1230 0 0 0 0 0 1 -1 0 -1 0 1 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 -1 1 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 0.692476853890 0.899562231516 2 5 1 4 3012 3201 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.692476853890 0.899562231516 2 4 3 4 0132 2310 0132 3201 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 0 0 0 0 0 0 0 -0.022701366137 1.188502979080 6 6 3 2 0132 3201 2310 0132 0 0 0 0 0 -1 0 1 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 1 0 -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 -0.089736869115 1.732549155152 5 6 5 6 0132 1302 2310 2031 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.467619249298 0.875412778708 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(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' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : negation(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' : negation(d['1']), 's_1_1' : negation(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' : d['c_0011_5'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_0'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_3'], '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' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_6' : negation(d['c_0011_5']), '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' : negation(d['c_0101_2']), 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : negation(d['c_0101_5']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : negation(d['c_0101_5']), '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_3, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 34 Groebner basis: [ t + 9060*c_0101_2*c_0101_5^16 + 25482*c_0101_2*c_0101_5^15 - 35533*c_0101_2*c_0101_5^14 - 184421*c_0101_2*c_0101_5^13 - 100559*c_0101_2*c_0101_5^12 + 358524*c_0101_2*c_0101_5^11 + 529570*c_0101_2*c_0101_5^10 - 94919*c_0101_2*c_0101_5^9 - 687081*c_0101_2*c_0101_5^8 - 353605*c_0101_2*c_0101_5^7 + 303811*c_0101_2*c_0101_5^6 + 350402*c_0101_2*c_0101_5^5 + 4610*c_0101_2*c_0101_5^4 - 120213*c_0101_2*c_0101_5^3 - 28357*c_0101_2*c_0101_5^2 + 13875*c_0101_2*c_0101_5 + 4363*c_0101_2, c_0011_0 - 1, c_0011_3 + 903*c_0101_2*c_0101_5^16 + 2361*c_0101_2*c_0101_5^15 - 4118*c_0101_2*c_0101_5^14 - 17936*c_0101_2*c_0101_5^13 - 6255*c_0101_2*c_0101_5^12 + 39332*c_0101_2*c_0101_5^11 + 47565*c_0101_2*c_0101_5^10 - 21792*c_0101_2*c_0101_5^9 - 72312*c_0101_2*c_0101_5^8 - 24371*c_0101_2*c_0101_5^7 + 41666*c_0101_2*c_0101_5^6 + 34781*c_0101_2*c_0101_5^5 - 5672*c_0101_2*c_0101_5^4 - 14869*c_0101_2*c_0101_5^3 - 2203*c_0101_2*c_0101_5^2 + 2068*c_0101_2*c_0101_5 + 548*c_0101_2, c_0011_5 - 375*c_0101_2*c_0101_5^16 - 1107*c_0101_2*c_0101_5^15 + 1291*c_0101_2*c_0101_5^14 + 7731*c_0101_2*c_0101_5^13 + 5302*c_0101_2*c_0101_5^12 - 13563*c_0101_2*c_0101_5^11 - 23289*c_0101_2*c_0101_5^10 - 57*c_0101_2*c_0101_5^9 + 26655*c_0101_2*c_0101_5^8 + 17784*c_0101_2*c_0101_5^7 - 8533*c_0101_2*c_0101_5^6 - 14037*c_0101_2*c_0101_5^5 - 2161*c_0101_2*c_0101_5^4 + 3782*c_0101_2*c_0101_5^3 + 1276*c_0101_2*c_0101_5^2 - 306*c_0101_2*c_0101_5 - 122*c_0101_2, c_0101_0 + 555*c_0101_5^16 + 1554*c_0101_5^15 - 2188*c_0101_5^14 - 11248*c_0101_5^13 - 6053*c_0101_5^12 + 21881*c_0101_5^11 + 32094*c_0101_5^10 - 5911*c_0101_5^9 - 41600*c_0101_5^8 - 21233*c_0101_5^7 + 18354*c_0101_5^6 + 20982*c_0101_5^5 + 228*c_0101_5^4 - 7139*c_0101_5^3 - 1640*c_0101_5^2 + 810*c_0101_5 + 247, c_0101_1 + 306*c_0101_5^16 + 657*c_0101_5^15 - 1881*c_0101_5^14 - 5793*c_0101_5^13 + 977*c_0101_5^12 + 16698*c_0101_5^11 + 12288*c_0101_5^10 - 18075*c_0101_5^9 - 29016*c_0101_5^8 + 359*c_0101_5^7 + 24761*c_0101_5^6 + 12779*c_0101_5^5 - 7188*c_0101_5^4 - 8092*c_0101_5^3 - 425*c_0101_5^2 + 1388*c_0101_5 + 330, c_0101_2^2 + 4863/23*c_0101_5^16 + 7944/23*c_0101_5^15 - 38060/23*c_0101_5^14 - 86170/23*c_0101_5^13 + 68589/23*c_0101_5^12 + 13823*c_0101_5^11 + 123747/23*c_0101_5^10 - 463744/23*c_0101_5^9 - 521182/23*c_0101_5^8 + 158154/23*c_0101_5^7 + 560277/23*c_0101_5^6 + 205746/23*c_0101_5^5 - 202363/23*c_0101_5^4 - 172649/23*c_0101_5^3 + 1300/23*c_0101_5^2 + 32423/23*c_0101_5 + 7098/23, c_0101_5^17 + 3*c_0101_5^16 - 11/3*c_0101_5^15 - 22*c_0101_5^14 - 43/3*c_0101_5^13 + 130/3*c_0101_5^12 + 72*c_0101_5^11 - 7*c_0101_5^10 - 293/3*c_0101_5^9 - 61*c_0101_5^8 + 128/3*c_0101_5^7 + 193/3*c_0101_5^6 + 9*c_0101_5^5 - 23*c_0101_5^4 - 11*c_0101_5^3 + 5/3*c_0101_5^2 + 2*c_0101_5 + 1/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB