Magma V2.19-8 Tue Aug 20 2013 16:18:51 on localhost [Seed = 2749513437] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3018 geometric_solution 6.19179168 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 1 0 0 -1 0 1 0 0 0 0 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 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 -0.134326038898 1.139605295239 0 4 2 5 0132 1023 1023 0132 0 0 0 1 0 1 -1 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 -1 1 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 0.102013806866 0.865472364451 4 0 1 5 1023 0132 1023 2310 0 0 0 1 0 1 -1 0 -1 0 1 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 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 0.102013806866 0.865472364451 4 6 6 0 3201 0132 1023 0132 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 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.325722392774 0.427203970281 1 2 0 3 1023 1023 0132 2310 0 0 0 1 0 1 -1 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 -1 0 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 -0.134326038898 1.139605295239 2 5 1 5 3201 1302 0132 2031 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 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 0.582209604519 1.100415558289 6 3 3 6 3201 0132 1023 2310 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 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.396270866583 0.825794948784 ==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' : 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_3']), 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_5']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0011_5'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_6' : negation(d['c_0011_3']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : d['c_0101_1'], 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_0101_3'], 'c_1001_3' : d['c_0101_6'], 'c_1001_2' : 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' : negation(d['c_0101_0']), 'c_0110_5' : negation(d['c_0101_3']), 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : negation(d['c_0101_6']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0101_3']), 'c_1010_0' : 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_3, c_0011_5, c_0101_0, c_0101_1, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 7577921968639/737549320*c_0101_6^7 + 4298689968359/184387330*c_0101_6^6 + 28280259162131/737549320*c_0101_6^5 + 11145136879231/368774660*c_0101_6^4 + 8369677431013/737549320*c_0101_6^3 + 683059289189/184387330*c_0101_6^2 - 33861168703/737549320*c_0101_6 - 65656731343/368774660, c_0011_0 - 1, c_0011_3 - 8286142073/295019728*c_0101_6^7 - 18193370019/295019728*c_0101_6^6 - 30144152639/295019728*c_0101_6^5 - 22894488953/295019728*c_0101_6^4 - 8545730459/295019728*c_0101_6^3 - 2484926049/295019728*c_0101_6^2 + 214988619/295019728*c_0101_6 + 8754101/295019728, c_0011_5 + 1881321321/295019728*c_0101_6^7 + 4264780473/295019728*c_0101_6^6 + 7829146493/295019728*c_0101_6^5 + 7244635021/295019728*c_0101_6^4 + 4803779727/295019728*c_0101_6^3 + 2443181119/295019728*c_0101_6^2 + 506683211/295019728*c_0101_6 + 166721307/295019728, c_0101_0 - 1, c_0101_1 - 5083731697/295019728*c_0101_6^7 - 5614537623/147509864*c_0101_6^6 - 9493324783/147509864*c_0101_6^5 - 15069561987/295019728*c_0101_6^4 - 6674755093/295019728*c_0101_6^3 - 154003349/18438733*c_0101_6^2 - 9115456/18438733*c_0101_6 - 78983603/295019728, c_0101_3 + 785784725/18438733*c_0101_6^7 + 1698716966/18438733*c_0101_6^6 + 2690823683/18438733*c_0101_6^5 + 1894800130/18438733*c_0101_6^4 + 456097148/18438733*c_0101_6^3 + 85588888/18438733*c_0101_6^2 - 49240500/18438733*c_0101_6 - 9034563/18438733, c_0101_6^8 + 760/319*c_0101_6^7 + 1272/319*c_0101_6^6 + 1068/319*c_0101_6^5 + 450/319*c_0101_6^4 + 144/319*c_0101_6^3 + 8/319*c_0101_6^2 - 4/319*c_0101_6 - 1/319 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB