Magma V2.19-8 Tue Aug 20 2013 16:14:25 on localhost [Seed = 3852761574] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s405 geometric_solution 4.65869322 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 1 2 2 3 0132 0132 2031 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.727908406621 0.803522243135 0 2 4 4 0132 1230 3201 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 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 0.306599880777 0.433603103852 3 0 1 0 1230 0132 3012 1302 0 0 0 0 0 0 0 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 0 0 0 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 0.378072061688 1.116496497748 5 2 0 5 0132 3012 0132 3201 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 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 0.384852946463 0.742707073404 1 4 1 4 2310 1302 0132 2031 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.826850066150 1.693469023635 3 3 5 5 0132 2310 1230 3012 0 0 0 0 0 0 -1 1 0 0 -1 1 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.895228851663 0.592823947331 ==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' : d['c_0101_1'], 'c_1100_4' : negation(d['c_0011_4']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_4'], '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_1']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0011_3']), 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_1']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : negation(d['c_0011_3']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0011_0']})} 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_3, c_0011_4, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t - 467146886/1287905*c_0101_5^16 + 1937643743/772743*c_0101_5^15 - 3070708109/3863715*c_0101_5^14 - 114077868038/3863715*c_0101_5^13 + 91580642372/1287905*c_0101_5^12 - 254222225/772743*c_0101_5^11 - 907062692542/3863715*c_0101_5^10 + 1846270765946/3863715*c_0101_5^9 - 121653030644/257581*c_0101_5^8 + 335969451706/3863715*c_0101_5^7 + 244175902528/772743*c_0101_5^6 - 79067609717/257581*c_0101_5^5 + 276995642636/3863715*c_0101_5^4 + 189161014798/3863715*c_0101_5^3 - 158289704138/3863715*c_0101_5^2 + 48344239921/3863715*c_0101_5 - 5836678729/3863715, c_0011_0 - 1, c_0011_3 + 1071984559/257581*c_0101_5^16 - 7001451700/257581*c_0101_5^15 - 65335495/257581*c_0101_5^14 + 85726243495/257581*c_0101_5^13 - 178505247994/257581*c_0101_5^12 - 47194079443/257581*c_0101_5^11 + 646752963497/257581*c_0101_5^10 - 1197668540648/257581*c_0101_5^9 + 1072536334128/257581*c_0101_5^8 - 41095009617/257581*c_0101_5^7 - 829452910781/257581*c_0101_5^6 + 667194811989/257581*c_0101_5^5 - 102382510759/257581*c_0101_5^4 - 130394343869/257581*c_0101_5^3 + 86828936309/257581*c_0101_5^2 - 22589440889/257581*c_0101_5 + 2291966731/257581, c_0011_4 - 1906671008/257581*c_0101_5^16 + 12386568030/257581*c_0101_5^15 + 513650650/257581*c_0101_5^14 - 152252363428/257581*c_0101_5^13 + 312303655830/257581*c_0101_5^12 + 92143238888/257581*c_0101_5^11 - 1142883265912/257581*c_0101_5^10 + 2094227596320/257581*c_0101_5^9 - 1853257000982/257581*c_0101_5^8 + 36624737678/257581*c_0101_5^7 + 1457697463377/257581*c_0101_5^6 - 1144966366470/257581*c_0101_5^5 + 163764089301/257581*c_0101_5^4 + 228143703956/257581*c_0101_5^3 - 148434856356/257581*c_0101_5^2 + 38107339825/257581*c_0101_5 - 3819111916/257581, c_0101_0 - 1038118993/257581*c_0101_5^16 + 6714221388/257581*c_0101_5^15 + 462190393/257581*c_0101_5^14 - 82818277721/257581*c_0101_5^13 + 167683616006/257581*c_0101_5^12 + 54156831789/257581*c_0101_5^11 - 619276197335/257581*c_0101_5^10 + 1123461851736/257581*c_0101_5^9 - 982696282928/257581*c_0101_5^8 + 1111182719/257581*c_0101_5^7 + 786888470699/257581*c_0101_5^6 - 603086495991/257581*c_0101_5^5 + 79086909875/257581*c_0101_5^4 + 122818339952/257581*c_0101_5^3 - 77758883166/257581*c_0101_5^2 + 19612630151/257581*c_0101_5 - 1928240373/257581, c_0101_1 - 946138612/257581*c_0101_5^16 + 6179271885/257581*c_0101_5^15 + 59566877/257581*c_0101_5^14 - 75664043308/257581*c_0101_5^13 + 157527835582/257581*c_0101_5^12 + 41717568325/257581*c_0101_5^11 - 570838326882/257581*c_0101_5^10 + 1056865571870/257581*c_0101_5^9 - 946217806606/257581*c_0101_5^8 + 35875631474/257581*c_0101_5^7 + 732123837969/257581*c_0101_5^6 - 588532673477/257581*c_0101_5^5 + 90098482941/257581*c_0101_5^4 + 115099623239/257581*c_0101_5^3 - 76572438050/257581*c_0101_5^2 + 19907388150/257581*c_0101_5 - 2018123171/257581, c_0101_5^17 - 7*c_0101_5^16 + 3*c_0101_5^15 + 80*c_0101_5^14 - 204*c_0101_5^13 + 34*c_0101_5^12 + 624*c_0101_5^11 - 1400*c_0101_5^10 + 1524*c_0101_5^9 - 507*c_0101_5^8 - 756*c_0101_5^7 + 985*c_0101_5^6 - 387*c_0101_5^5 - 77*c_0101_5^4 + 138*c_0101_5^3 - 59*c_0101_5^2 + 12*c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB