Magma V2.19-8 Tue Aug 20 2013 16:14:14 on localhost [Seed = 2614757302] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s213 geometric_solution 4.35385268 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 3201 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 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 0.151623689631 0.211528714420 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 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 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.609864254244 2.911397383715 1 3 3 4 0132 3201 0213 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 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.174469939060 0.635462969693 4 2 2 1 0132 0213 2310 0132 0 0 0 0 0 0 0 0 -1 0 1 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 -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 0.174469939060 0.635462969693 3 5 2 5 0132 0132 0132 2310 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 0 -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 1.671406241249 0.522624504803 4 4 5 5 3201 0132 2031 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 -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 0.530442949930 0.356107448347 ==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' : negation(d['c_0101_3']), 'c_1100_4' : d['c_0011_3'], '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_0011_3'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_3'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : negation(d['c_0011_3']), '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' : negation(d['c_0110_5']), 'c_1001_4' : d['c_0101_3'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : negation(d['c_0101_3']), 'c_0110_1' : d['c_0011_3'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_3'], 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : negation(d['c_0110_5']), 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0011_3'])})} 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_1, c_0011_3, c_0101_1, c_0101_3, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 6952048/1217979*c_0110_5^8 + 11743372/1217979*c_0110_5^7 - 94298579/1217979*c_0110_5^6 + 167554510/1217979*c_0110_5^5 - 13930893/135331*c_0110_5^4 - 199434352/1217979*c_0110_5^3 - 88094882/1217979*c_0110_5^2 - 5422616/1217979*c_0110_5 - 9316828/1217979, c_0011_0 - 1, c_0011_1 + 5567/57999*c_0110_5^8 + 3599/19333*c_0110_5^7 - 74122/57999*c_0110_5^6 + 37588/19333*c_0110_5^5 - 19421/19333*c_0110_5^4 - 198899/57999*c_0110_5^3 - 67871/57999*c_0110_5^2 - 66560/57999*c_0110_5 + 6654/19333, c_0011_3 - 46378/173997*c_0110_5^8 - 90841/173997*c_0110_5^7 + 618314/173997*c_0110_5^6 - 932554/173997*c_0110_5^5 + 43403/19333*c_0110_5^4 + 1811716/173997*c_0110_5^3 + 673262/173997*c_0110_5^2 - 5737/173997*c_0110_5 + 44959/173997, c_0101_1 - 30688/173997*c_0110_5^8 - 63703/173997*c_0110_5^7 + 400220/173997*c_0110_5^6 - 585340/173997*c_0110_5^5 + 20775/19333*c_0110_5^4 + 1362127/173997*c_0110_5^3 + 386876/173997*c_0110_5^2 + 426563/173997*c_0110_5 + 121546/173997, c_0101_3 - 24719/57999*c_0110_5^8 - 38770/57999*c_0110_5^7 + 340405/57999*c_0110_5^6 - 635836/57999*c_0110_5^5 + 173398/19333*c_0110_5^4 + 662255/57999*c_0110_5^3 + 66650/19333*c_0110_5^2 + 1300/19333*c_0110_5 + 16804/57999, c_0110_5^9 + 2*c_0110_5^8 - 13*c_0110_5^7 + 20*c_0110_5^6 - 11*c_0110_5^5 - 34*c_0110_5^4 - 21*c_0110_5^3 - 7*c_0110_5^2 - 3*c_0110_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB