Magma V2.19-8 Tue Aug 20 2013 16:14:07 on localhost [Seed = 4139215567] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s076 geometric_solution 3.61725153 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 1 0 1 0 0132 1302 2310 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 -0.802542114476 0.134284121530 0 0 2 2 0132 3201 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.640170354897 0.694476408646 3 1 1 4 0132 3201 0132 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 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 1.302575549479 1.019478907275 2 5 4 4 0132 0132 3201 2031 0 0 0 0 0 1 -1 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 -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 0.002486241110 0.511565002461 3 3 2 5 2310 1302 0132 2310 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 1 -1 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 0.002486241110 0.511565002461 4 3 5 5 3201 0132 2031 1302 0 0 0 0 0 -1 0 1 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 -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 0.002486241110 0.511565002461 ==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_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_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_5' : d['c_0101_3'], 'c_1100_4' : d['c_0011_2'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : d['c_0101_0'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : negation(d['c_0101_3']), 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0011_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_4, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 73939166/2035087*c_0101_3^13 + 291610303/2035087*c_0101_3^12 - 2544959033/2035087*c_0101_3^11 - 5248716219/2035087*c_0101_3^10 + 12800028404/2035087*c_0101_3^9 + 24340597181/2035087*c_0101_3^8 - 21758586915/2035087*c_0101_3^7 - 42415883326/2035087*c_0101_3^6 + 15277473518/2035087*c_0101_3^5 + 32290358181/2035087*c_0101_3^4 - 3833701963/2035087*c_0101_3^3 - 10041659266/2035087*c_0101_3^2 + 708139/119711*c_0101_3 + 791562115/2035087, c_0011_0 - 1, c_0011_2 + 1856399/2035087*c_0101_3^13 + 7446487/2035087*c_0101_3^12 - 61900582/2035087*c_0101_3^11 - 129767531/2035087*c_0101_3^10 + 263547618/2035087*c_0101_3^9 + 518240414/2035087*c_0101_3^8 - 312350052/2035087*c_0101_3^7 - 642739017/2035087*c_0101_3^6 + 2354882/34493*c_0101_3^5 + 275694325/2035087*c_0101_3^4 - 21537440/2035087*c_0101_3^3 - 27942071/2035087*c_0101_3^2 - 141945/119711*c_0101_3 - 58081/2035087, c_0011_4 + 4751183/2035087*c_0101_3^13 + 23516612/2035087*c_0101_3^12 - 140613932/2035087*c_0101_3^11 - 481203359/2035087*c_0101_3^10 + 364410141/2035087*c_0101_3^9 + 1967552198/2035087*c_0101_3^8 + 455185112/2035087*c_0101_3^7 - 2420524416/2035087*c_0101_3^6 - 1242291313/2035087*c_0101_3^5 + 1047456523/2035087*c_0101_3^4 + 637316152/2035087*c_0101_3^3 - 135648943/2035087*c_0101_3^2 - 3882793/119711*c_0101_3 + 8826080/2035087, c_0101_0 + 60403/2035087*c_0101_3^13 + 3411079/2035087*c_0101_3^12 + 10566085/2035087*c_0101_3^11 - 110486819/2035087*c_0101_3^10 - 3541266/34493*c_0101_3^9 + 478293734/2035087*c_0101_3^8 + 862701005/2035087*c_0101_3^7 - 597768689/2035087*c_0101_3^6 - 1098104231/2035087*c_0101_3^5 + 294258517/2035087*c_0101_3^4 + 491061294/2035087*c_0101_3^3 - 65980154/2035087*c_0101_3^2 - 3321942/119711*c_0101_3 + 7582715/2035087, c_0101_1 - 182255/2035087*c_0101_3^13 + 237468/2035087*c_0101_3^12 + 10380241/2035087*c_0101_3^11 - 18081908/2035087*c_0101_3^10 - 107879265/2035087*c_0101_3^9 + 65464578/2035087*c_0101_3^8 + 358199621/2035087*c_0101_3^7 - 23871860/2035087*c_0101_3^6 - 404447417/2035087*c_0101_3^5 - 27039664/2035087*c_0101_3^4 + 155072291/2035087*c_0101_3^3 + 4659249/2035087*c_0101_3^2 - 620335/119711*c_0101_3 + 2439858/2035087, c_0101_3^14 + 4*c_0101_3^13 - 34*c_0101_3^12 - 72*c_0101_3^11 + 163*c_0101_3^10 + 321*c_0101_3^9 - 256*c_0101_3^8 - 518*c_0101_3^7 + 175*c_0101_3^6 + 362*c_0101_3^5 - 56*c_0101_3^4 - 106*c_0101_3^3 + 9*c_0101_3^2 + 9*c_0101_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB