Magma V2.19-8 Tue Aug 20 2013 16:09:05 on localhost [Seed = 2311591682] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m378 geometric_solution 4.78229799 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 5 1 2 2 3 0132 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.107718385521 1.173738510861 0 3 4 2 0132 2310 0132 1302 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 1 -1 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 0.535488436285 0.883706576720 0 0 1 3 2310 0132 2031 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 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 0.198062452339 0.644422980371 4 2 0 1 1023 1302 0132 3201 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 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 0.535488436285 0.883706576720 4 3 4 1 2031 1023 1302 0132 0 0 0 0 0 0 0 0 0 0 1 -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 0 1 -1 -1 0 1 0 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.550840227646 0.443807551056 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : negation(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_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_0_4' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0110_3'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_4' : d['c_0011_3'], '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' : negation(d['c_0011_0']), 'c_1001_4' : d['c_0101_1'], 'c_1001_1' : d['c_0110_3'], 'c_1001_0' : d['c_0011_3'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_4' : d['c_0101_1'], 'c_1010_4' : d['c_0110_3'], 'c_1010_3' : negation(d['c_0110_3']), 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : negation(d['c_0110_3']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 6 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0110_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 116919/3545*c_0110_3^9 + 36051/709*c_0110_3^8 - 217379/709*c_0110_3^7 + 5786937/7090*c_0110_3^6 - 4172701/3545*c_0110_3^5 + 3360438/3545*c_0110_3^4 - 514905/1418*c_0110_3^3 + 6017/1418*c_0110_3^2 + 704239/3545*c_0110_3 - 529269/7090, c_0011_0 - 1, c_0011_3 + 922/709*c_0110_3^9 - 1356/709*c_0110_3^8 + 8450/709*c_0110_3^7 - 22061/709*c_0110_3^6 + 30950/709*c_0110_3^5 - 22631/709*c_0110_3^4 + 4953/709*c_0110_3^3 + 4411/709*c_0110_3^2 - 7985/709*c_0110_3 + 2666/709, c_0101_0 - 1751/709*c_0110_3^9 + 2789/709*c_0110_3^8 - 16446/709*c_0110_3^7 + 44226/709*c_0110_3^6 - 65133/709*c_0110_3^5 + 54424/709*c_0110_3^4 - 24350/709*c_0110_3^3 + 4398/709*c_0110_3^2 + 7940/709*c_0110_3 - 3439/709, c_0101_1 + 915/709*c_0110_3^9 - 1621/709*c_0110_3^8 + 8858/709*c_0110_3^7 - 24638/709*c_0110_3^6 + 38108/709*c_0110_3^5 - 34596/709*c_0110_3^4 + 17003/709*c_0110_3^3 - 3979/709*c_0110_3^2 - 3645/709*c_0110_3 + 1906/709, c_0110_3^10 - 2*c_0110_3^9 + 10*c_0110_3^8 - 29*c_0110_3^7 + 47*c_0110_3^6 - 45*c_0110_3^5 + 24*c_0110_3^4 - 5*c_0110_3^3 - 6*c_0110_3^2 + 5*c_0110_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB