Magma V2.19-8 Tue Aug 20 2013 16:18:27 on localhost [Seed = 357861410] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2649 geometric_solution 5.92025255 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 -1 0 1 0 0 -1 1 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 0.518197897865 0.269934692092 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 -1 1 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 0 0 0 0 0 1 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.963913086994 0.520749534185 1 4 4 5 0132 0132 2031 0132 0 0 0 0 0 0 0 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 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 0.927142434156 0.859646767881 5 4 5 1 0321 0213 0213 0132 0 0 0 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 0 0 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 0 0 0 0.600587170879 0.558704105647 6 2 3 2 0132 0132 0213 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.684385172861 0.406620724217 3 3 2 6 0321 0213 0132 1302 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 0.298678466162 0.415124440260 4 6 5 6 0132 1302 2031 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 0 0 0 0 0 0 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.736449779631 0.487558784933 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : 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' : 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' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_1'], 'c_1100_5' : d['c_0101_6'], 'c_1100_4' : d['c_0101_0'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : negation(d['c_0011_5']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : negation(d['c_0011_1']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_1001_3'], 'c_1001_4' : d['c_1001_3'], 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0101_6']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0011_5']), 'c_0110_2' : negation(d['c_0011_5']), 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0011_3'], 'c_1010_6' : negation(d['c_0011_1']), 'c_1010_5' : negation(d['c_0011_1']), 'c_1010_4' : negation(d['c_0101_6']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_1001_3'], 'c_1010_1' : negation(d['c_0011_0']), '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_1, c_0011_3, c_0011_5, c_0101_0, c_0101_6, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 71951/4393*c_1001_3^15 - 282843/4393*c_1001_3^13 + 67004/4393*c_1001_3^11 + 4301591/4393*c_1001_3^9 - 10982575/4393*c_1001_3^7 + 11882894/4393*c_1001_3^5 - 3699997/4393*c_1001_3^3 - 981388/4393*c_1001_3, c_0011_0 - 1, c_0011_1 + 2040/4393*c_1001_3^14 + 526/191*c_1001_3^12 + 21272/4393*c_1001_3^10 - 85355/4393*c_1001_3^8 + 130886/4393*c_1001_3^6 - 31032/4393*c_1001_3^4 - 27274/4393*c_1001_3^2 - 5213/4393, c_0011_3 + 1332/4393*c_1001_3^15 + 6205/4393*c_1001_3^13 + 4045/4393*c_1001_3^11 - 72287/4393*c_1001_3^9 + 157742/4393*c_1001_3^7 - 139691/4393*c_1001_3^5 + 22250/4393*c_1001_3^3 + 12329/4393*c_1001_3, c_0011_5 - 1585/4393*c_1001_3^14 - 9483/4393*c_1001_3^12 - 16917/4393*c_1001_3^10 + 66141/4393*c_1001_3^8 - 96423/4393*c_1001_3^6 + 16774/4393*c_1001_3^4 + 1171/191*c_1001_3^2 + 2152/4393, c_0101_0 - 4195/4393*c_1001_3^15 - 21484/4393*c_1001_3^13 - 24572/4393*c_1001_3^11 + 205144/4393*c_1001_3^9 - 421618/4393*c_1001_3^7 + 320978/4393*c_1001_3^5 - 54643/4393*c_1001_3^3 - 16382/4393*c_1001_3, c_0101_6 - 1841/4393*c_1001_3^14 - 9802/4393*c_1001_3^12 - 12846/4393*c_1001_3^10 + 86949/4393*c_1001_3^8 - 168169/4393*c_1001_3^6 + 110218/4393*c_1001_3^4 - 5270/4393*c_1001_3^2 - 8134/4393, c_1001_3^16 + 5*c_1001_3^14 + 5*c_1001_3^12 - 51*c_1001_3^10 + 104*c_1001_3^8 - 79*c_1001_3^6 + 6*c_1001_3^4 + 9*c_1001_3^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB