Magma V2.19-8 Tue Aug 20 2013 16:17:34 on localhost [Seed = 1048552166] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1812 geometric_solution 5.47399001 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 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 1.967069158597 0.633512208987 0 2 3 0 3201 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.271214068650 0.712954293075 4 1 3 5 0132 0132 1302 0132 0 0 0 0 0 0 0 0 -1 0 0 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 -1 0 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 0.413983157069 0.334608361341 2 5 6 1 2031 2310 0132 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.413983157069 0.334608361341 2 5 6 6 0132 0132 2310 1230 0 0 0 0 0 0 0 0 1 0 -1 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 1 -1 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.900762186043 0.979915096473 6 4 2 3 2310 0132 0132 3201 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 -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 1.418772917416 0.855454371531 4 4 5 3 3012 3201 3201 0132 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 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.900762186043 0.979915096473 ==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_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' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : 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' : d['c_0101_6'], 'c_1001_4' : negation(d['c_1001_3']), 'c_1001_6' : negation(d['c_0101_4']), 'c_1001_1' : d['c_0101_6'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : negation(d['c_0101_6']), 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : negation(d['c_0011_3']), 'c_1010_6' : d['c_1001_3'], 'c_1010_5' : negation(d['c_1001_3']), 'c_1010_4' : d['c_0101_6'], 'c_1010_3' : d['c_0101_6'], 'c_1010_2' : d['c_0101_6'], '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_0101_0, c_0101_4, c_0101_6, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 1337304933051/14358993064*c_1001_3^10 - 10151512593381/14358993064*c_1001_3^9 + 25267285785917/14358993064*c_1001_3^8 - 77909813996601/14358993064*c_1001_3^7 + 4949985569051/1104537928*c_1001_3^6 - 67105064313995/14358993064*c_1001_3^5 + 103228726129715/14358993064*c_1001_3^4 - 75226695310133/14358993064*c_1001_3^3 + 687406663833/1104537928*c_1001_3^2 + 12121929140063/14358993064*c_1001_3 - 3296893395371/14358993064, c_0011_0 - 1, c_0011_1 + 8155813/10620557*c_1001_3^10 - 65146728/10620557*c_1001_3^9 + 176296199/10620557*c_1001_3^8 - 520267953/10620557*c_1001_3^7 + 549717582/10620557*c_1001_3^6 - 455144064/10620557*c_1001_3^5 + 772658582/10620557*c_1001_3^4 - 624178001/10620557*c_1001_3^3 + 130697356/10620557*c_1001_3^2 + 76454454/10620557*c_1001_3 - 32566800/10620557, c_0011_3 - 20395348/10620557*c_1001_3^10 + 154584233/10620557*c_1001_3^9 - 384158203/10620557*c_1001_3^8 + 1187812776/10620557*c_1001_3^7 - 975265961/10620557*c_1001_3^6 + 1038650669/10620557*c_1001_3^5 - 1564117626/10620557*c_1001_3^4 + 1142304364/10620557*c_1001_3^3 - 149088442/10620557*c_1001_3^2 - 191748153/10620557*c_1001_3 + 58342322/10620557, c_0101_0 + 7763136/10620557*c_1001_3^10 - 55980857/10620557*c_1001_3^9 + 124061678/10620557*c_1001_3^8 - 395890701/10620557*c_1001_3^7 + 204461770/10620557*c_1001_3^6 - 246625391/10620557*c_1001_3^5 + 485485815/10620557*c_1001_3^4 - 192240084/10620557*c_1001_3^3 - 101101222/10620557*c_1001_3^2 + 57444428/10620557*c_1001_3 + 7624571/10620557, c_0101_4 - c_1001_3, c_0101_6 + 9260854/10620557*c_1001_3^10 - 70170969/10620557*c_1001_3^9 + 174222849/10620557*c_1001_3^8 - 538363599/10620557*c_1001_3^7 + 439250570/10620557*c_1001_3^6 - 464464522/10620557*c_1001_3^5 + 698011099/10620557*c_1001_3^4 - 508862567/10620557*c_1001_3^3 + 65065201/10620557*c_1001_3^2 + 101085749/10620557*c_1001_3 - 24658210/10620557, c_1001_3^11 - 8*c_1001_3^10 + 22*c_1001_3^9 - 66*c_1001_3^8 + 72*c_1001_3^7 - 70*c_1001_3^6 + 98*c_1001_3^5 - 88*c_1001_3^4 + 30*c_1001_3^3 + 6*c_1001_3^2 - 6*c_1001_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB