Magma V2.19-8 Tue Aug 20 2013 16:17:10 on localhost [Seed = 863154147] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1406 geometric_solution 5.24838420 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 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 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 0.486953134223 0.071309116831 2 0 2 0 0132 2310 1023 0132 0 0 0 0 0 0 1 -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 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 0.502574707698 0.223103186800 1 3 1 4 0132 0132 1023 0132 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 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 0.386680306531 3.611963953573 4 2 5 4 3201 0132 0132 3120 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 -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 0.267244433430 0.661704732308 3 6 2 3 3120 0132 0132 2310 0 0 0 0 0 0 0 0 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 1 0 -1 -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 0.267244433430 0.661704732308 6 6 6 3 2031 0321 3201 0132 0 0 0 1 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 -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 0.751710801535 0.678821993849 5 4 5 5 2310 0132 1302 0321 0 1 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 -1 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 0.751710801535 0.678821993849 ==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' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_5'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_0011_1'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0011_1'], 'c_0101_6' : negation(d['c_0011_5']), 'c_0101_5' : d['c_0011_5'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : negation(d['c_0011_4']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0011_5'], 'c_1001_4' : d['c_1001_3'], 'c_1001_6' : d['c_0101_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_0011_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0101_3']), 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : negation(d['c_0011_5']), 'c_1010_6' : d['c_1001_3'], 'c_1010_5' : d['c_1001_3'], 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : negation(d['c_0011_4']), '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_4, c_0011_5, c_0101_0, c_0101_3, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 192486654352521/558466414015552*c_1001_3^9 - 201409856011841/79780916287936*c_1001_3^8 - 3491877805819541/279233207007776*c_1001_3^7 - 459700259981435/69808301751944*c_1001_3^6 + 1085048395179787/69808301751944*c_1001_3^5 - 26392072527674937/279233207007776*c_1001_3^4 - 48708554831518451/279233207007776*c_1001_3^3 + 16523825336116209/69808301751944*c_1001_3^2 + 17764370837707031/79780916287936*c_1001_3 - 50159031850130823/558466414015552, c_0011_0 - 1, c_0011_1 - 9219519999/4986307267996*c_1001_3^9 - 64959529881/4986307267996*c_1001_3^8 - 331975731431/4986307267996*c_1001_3^7 - 46701208952/1246576816999*c_1001_3^6 - 10614353501/1246576816999*c_1001_3^5 - 2600981886073/4986307267996*c_1001_3^4 - 3997871213237/4986307267996*c_1001_3^3 + 1005861845737/2493153633998*c_1001_3^2 + 1450238846815/4986307267996*c_1001_3 + 477891259899/1246576816999, c_0011_4 - 5791426399/4986307267996*c_1001_3^9 - 85764325471/9972614535992*c_1001_3^8 - 419424197653/9972614535992*c_1001_3^7 - 217475889875/9972614535992*c_1001_3^6 + 698337993909/9972614535992*c_1001_3^5 - 3363368256513/9972614535992*c_1001_3^4 - 5301972204523/9972614535992*c_1001_3^3 + 8953936678315/9972614535992*c_1001_3^2 + 2424638778673/9972614535992*c_1001_3 - 446695305899/1246576816999, c_0011_5 - 1, c_0101_0 + 10627938777/9972614535992*c_1001_3^9 + 77428758085/9972614535992*c_1001_3^8 + 379047234985/9972614535992*c_1001_3^7 + 192856566455/9972614535992*c_1001_3^6 - 398523664429/9972614535992*c_1001_3^5 + 3948259798427/9972614535992*c_1001_3^4 + 6134365156887/9972614535992*c_1001_3^3 - 8643963962111/9972614535992*c_1001_3^2 + 341490214259/2493153633998*c_1001_3 + 889213029700/1246576816999, c_0101_3 + 5791426399/4986307267996*c_1001_3^9 + 85764325471/9972614535992*c_1001_3^8 + 419424197653/9972614535992*c_1001_3^7 + 217475889875/9972614535992*c_1001_3^6 - 698337993909/9972614535992*c_1001_3^5 + 3363368256513/9972614535992*c_1001_3^4 + 5301972204523/9972614535992*c_1001_3^3 - 8953936678315/9972614535992*c_1001_3^2 - 12397253314665/9972614535992*c_1001_3 + 446695305899/1246576816999, c_1001_3^10 + 7*c_1001_3^9 + 34*c_1001_3^8 + 8*c_1001_3^7 - 48*c_1001_3^6 + 290*c_1001_3^5 + 414*c_1001_3^4 - 824*c_1001_3^3 - 385*c_1001_3^2 + 407*c_1001_3 - 112 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB