Magma V2.19-8 Tue Aug 20 2013 16:16:10 on localhost [Seed = 1629552037] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0421 geometric_solution 4.47850526 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 2310 2310 3201 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 -1 0 0 1 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.662931606651 0.097797964840 0 0 2 2 0132 3201 2310 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 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 2.132092627790 0.643062444334 3 1 1 3 0132 3201 0132 1023 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.192320909892 0.573100788440 2 4 5 2 0132 0132 0132 1023 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 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.306619008307 0.289964569283 5 3 5 6 2310 0132 3201 0132 0 0 0 0 0 0 1 -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 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 -0.260516824644 1.171688461671 4 6 4 3 2310 1023 3201 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 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 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 -0.260516824644 1.171688461671 5 6 4 6 1023 2310 0132 3201 0 0 0 0 0 -1 1 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 -1 1 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 0.180823689682 0.813264291418 ==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' : negation(d['c_0011_5']), 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : negation(d['c_0011_5']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_2']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : negation(d['c_0101_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_2'], 'c_0011_6' : d['c_0011_5'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : d['c_0110_6'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0110_6'], 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : negation(d['c_0110_6']), 'c_1010_5' : d['c_0110_6'], 'c_1010_4' : d['c_0110_6'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0101_1'])})} 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_2, c_0011_5, c_0101_0, c_0101_1, c_0101_3, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 138825307769/5433086867*c_0110_6^18 - 117181792612/417929759*c_0110_6^16 + 6763186663816/5433086867*c_0110_6^14 - 19130807651295/5433086867*c_0110_6^12 + 44942421697629/5433086867*c_0110_6^10 - 5439949153916/417929759*c_0110_6^8 + 77437455190522/5433086867*c_0110_6^6 - 82066801435744/5433086867*c_0110_6^4 + 52075993744443/5433086867*c_0110_6^2 - 8245424042171/5433086867, c_0011_0 - 1, c_0011_2 + 166048444/5433086867*c_0110_6^18 - 141268709/417929759*c_0110_6^16 + 8176510164/5433086867*c_0110_6^14 - 22863035906/5433086867*c_0110_6^12 + 52800959833/5433086867*c_0110_6^10 - 481454286/32148443*c_0110_6^8 + 82674860610/5433086867*c_0110_6^6 - 85325832212/5433086867*c_0110_6^4 + 51233371151/5433086867*c_0110_6^2 - 2631465166/5433086867, c_0011_5 + 122475807/5433086867*c_0110_6^18 - 7861752/32148443*c_0110_6^16 + 5747199214/5433086867*c_0110_6^14 - 15686801920/5433086867*c_0110_6^12 + 36181538775/5433086867*c_0110_6^10 - 4216887163/417929759*c_0110_6^8 + 55823939577/5433086867*c_0110_6^6 - 63116310349/5433086867*c_0110_6^4 + 37275773448/5433086867*c_0110_6^2 - 1738762045/5433086867, c_0101_0 - 10269634/5433086867*c_0110_6^19 + 16608948/417929759*c_0110_6^17 - 1539061023/5433086867*c_0110_6^15 + 5510679727/5433086867*c_0110_6^13 - 13993881847/5433086867*c_0110_6^11 + 2305209792/417929759*c_0110_6^9 - 39448022308/5433086867*c_0110_6^7 + 42177515616/5433086867*c_0110_6^5 - 50037105841/5433086867*c_0110_6^3 + 22568552176/5433086867*c_0110_6, c_0101_1 - 390973979/5433086867*c_0110_6^19 + 335661858/417929759*c_0110_6^17 - 19870292489/5433086867*c_0110_6^1\ 5 + 57608159107/5433086867*c_0110_6^13 - 137115930038/5433086867*c_0110_6^11 + 17183881519/417929759*c_0110_6^9 - 255004701076/5433086867*c_0110_6^7 + 266373974627/5433086867*c_0110_6^5 - 178091038413/5433086867*c_0110_6^3 + 35391969415/5433086867*c_0110_6, c_0101_3 - 92888425/5433086867*c_0110_6^19 + 69846875/417929759*c_0110_6^17 - 3374673115/5433086867*c_0110_6^15 + 8084917274/5433086867*c_0110_6^13 - 17550165382/5433086867*c_0110_6^11 + 111583077/32148443*c_0110_6^9 - 12610173012/5433086867*c_0110_6^7 + 16755182035/5433086867*c_0110_6^5 + 2958334624/5433086867*c_0110_6^3 - 8679939297/5433086867*c_0110_6, c_0110_6^20 - 11*c_0110_6^18 + 49*c_0110_6^16 - 139*c_0110_6^14 + 327*c_0110_6^12 - 517*c_0110_6^10 + 569*c_0110_6^8 - 603*c_0110_6^6 + 388*c_0110_6^4 - 66*c_0110_6^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB