Magma V2.19-8 Tue Aug 20 2013 16:14:54 on localhost [Seed = 1579139642] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s879 geometric_solution 5.56971544 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 2 1 2 0132 0132 1023 2310 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 1 -1 -1 0 1 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 0.948470788263 1.142444582379 0 3 0 4 0132 0132 1023 0132 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 -1 1 1 0 -1 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 0.734693333604 0.837501419913 0 0 4 5 3201 0132 3012 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.255066257854 0.532481154168 4 1 5 5 3201 0132 1230 2031 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.578773208640 0.980768315942 5 2 1 3 0213 1230 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.427934155895 0.335036406983 4 3 2 3 0213 1302 0132 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.693546492837 1.101228754963 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : 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' : negation(d['1']), 's_2_5' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_5' : negation(d['c_1001_3']), 'c_1100_4' : d['c_0011_0'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0101_3'], 'c_1100_2' : negation(d['c_1001_3']), 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_5'], 'c_0011_5' : d['c_0011_5'], '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' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : d['c_1001_3'], 'c_1001_1' : d['c_0011_5'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0011_4']), 'c_0110_1' : d['c_0011_5'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0101_3']), 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_1001_3'], 'c_1010_0' : negation(d['c_0011_4'])})} 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_4, c_0011_5, c_0101_1, c_0101_3, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 19919/15584*c_1001_3^7 + 626419/116880*c_1001_3^6 - 1214237/233760*c_1001_3^5 - 2677007/233760*c_1001_3^4 + 1649427/77920*c_1001_3^3 + 267299/116880*c_1001_3^2 - 323359/19480*c_1001_3 + 63119/14610, c_0011_0 - 1, c_0011_4 - 3165/3896*c_1001_3^7 + 19043/5844*c_1001_3^6 - 31495/11688*c_1001_3^5 - 90517/11688*c_1001_3^4 + 47245/3896*c_1001_3^3 + 19837/5844*c_1001_3^2 - 4975/487*c_1001_3 + 3881/1461, c_0011_5 - 965/1461*c_1001_3^7 + 16523/5844*c_1001_3^6 - 9281/2922*c_1001_3^5 - 9707/1948*c_1001_3^4 + 64229/5844*c_1001_3^3 - 1593/1948*c_1001_3^2 - 24883/2922*c_1001_3 + 1708/487, c_0101_1 + 350/1461*c_1001_3^7 - 2845/2922*c_1001_3^6 + 2753/2922*c_1001_3^5 + 2265/974*c_1001_3^4 - 7001/1461*c_1001_3^3 + 340/487*c_1001_3^2 + 13741/2922*c_1001_3 - 1379/487, c_0101_3 - 7105/23376*c_1001_3^7 + 2803/2922*c_1001_3^6 - 2683/7792*c_1001_3^5 - 60325/23376*c_1001_3^4 + 37951/23376*c_1001_3^3 + 12599/5844*c_1001_3^2 - 3527/2922*c_1001_3 + 1409/2922, c_1001_3^8 - 24/5*c_1001_3^7 + 33/5*c_1001_3^6 + 33/5*c_1001_3^5 - 111/5*c_1001_3^4 + 8*c_1001_3^3 + 76/5*c_1001_3^2 - 64/5*c_1001_3 + 16/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB