Magma V2.19-8 Tue Aug 20 2013 23:38:19 on localhost [Seed = 3634281719] Type ? for help. Type -D to quit. Loading file "K13n1861__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n1861 geometric_solution 8.56884551 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 10 1 1 2 3 0132 1302 0132 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 -1 0 1 1 0 0 -1 0 0 0 0 -3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.520192077391 0.981337547791 0 4 5 0 0132 0132 0132 2031 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 -1 0 0 1 3 -1 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.402105456186 0.822414895073 6 7 5 0 0132 0132 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 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 -0.095273547029 0.939534386064 6 8 0 9 3120 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 0 -1 1 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 1.020650357442 0.532538903098 9 1 8 8 1302 0132 2103 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.180870984879 0.808037459637 6 2 7 1 2103 3201 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.301130154200 0.597830173506 2 9 5 3 0132 0321 2103 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.044539109577 0.398544170976 9 2 5 8 0321 0132 1023 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.826318346876 1.650393016308 4 3 4 7 2103 0132 2031 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.662351028541 0.340209966343 7 4 3 6 0321 2031 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.379789776994 0.292301062287 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : d['c_0011_0'], 'c_1001_7' : d['c_0101_0'], 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_1001_1']), 'c_1001_9' : negation(d['c_0110_4']), 'c_1001_8' : negation(d['c_0110_4']), 's_2_8' : d['1'], 's_2_9' : 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_2_7' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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_9' : d['c_0011_5'], 'c_1100_8' : negation(d['c_1001_1']), 'c_1100_5' : negation(d['c_1001_3']), 'c_1100_4' : negation(d['c_0011_9']), 'c_1100_7' : d['c_1001_3'], 'c_1100_6' : negation(d['c_0101_1']), 'c_1100_1' : negation(d['c_1001_3']), 'c_1100_0' : d['c_0011_5'], 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : d['c_0011_5'], 'c_1010_7' : negation(d['c_1001_1']), 'c_1010_6' : d['c_0011_0'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : negation(d['c_0110_4']), 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : d['c_1001_3'], 'c_1010_9' : d['c_0011_0'], 'c_1010_8' : d['c_1001_3'], '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_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_2']), 'c_0011_6' : negation(d['c_0011_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : d['c_0011_2'], 'c_0101_7' : negation(d['c_0101_2']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_9']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_2'], 'c_0101_8' : negation(d['c_0011_9']), 'c_0110_9' : d['c_0011_2'], 'c_0110_8' : d['c_0011_9'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : negation(d['c_0011_9']), 'c_0110_6' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_5, c_0011_9, c_0101_0, c_0101_1, c_0101_2, c_0110_4, c_1001_1, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 3573216450/781379389*c_1001_3^10 - 2128268361/111625627*c_1001_3^9 + 15248491351/781379389*c_1001_3^8 + 34171114345/781379389*c_1001_3^7 - 12724499162/781379389*c_1001_3^6 + 11951979611/781379389*c_1001_3^5 + 62900737156/781379389*c_1001_3^4 - 12075987680/111625627*c_1001_3^3 - 68250829855/781379389*c_1001_3^2 - 30540384170/781379389*c_1001_3 + 18142855488/781379389, c_0011_0 - 1, c_0011_2 - 769567/5875033*c_1001_3^10 - 3402804/5875033*c_1001_3^9 + 1900865/5875033*c_1001_3^8 + 5057406/5875033*c_1001_3^7 - 2096255/5875033*c_1001_3^6 + 6676324/5875033*c_1001_3^5 + 14086531/5875033*c_1001_3^4 - 13123254/5875033*c_1001_3^3 - 3337885/5875033*c_1001_3^2 - 7795738/5875033*c_1001_3 - 3499862/5875033, c_0011_5 - 727900/5875033*c_1001_3^10 - 3353522/5875033*c_1001_3^9 + 1850072/5875033*c_1001_3^8 + 8243754/5875033*c_1001_3^7 - 1505779/5875033*c_1001_3^6 + 1711579/5875033*c_1001_3^5 + 16228783/5875033*c_1001_3^4 - 16000976/5875033*c_1001_3^3 - 19014727/5875033*c_1001_3^2 - 1451888/5875033*c_1001_3 - 1163957/5875033, c_0011_9 + 1546800/5875033*c_1001_3^10 + 6406340/5875033*c_1001_3^9 - 7598185/5875033*c_1001_3^8 - 19448752/5875033*c_1001_3^7 + 1475796/5875033*c_1001_3^6 - 2657290/5875033*c_1001_3^5 - 24027770/5875033*c_1001_3^4 + 43103444/5875033*c_1001_3^3 + 52040462/5875033*c_1001_3^2 + 32520986/5875033*c_1001_3 - 2764786/5875033, c_0101_0 - 1466786/5875033*c_1001_3^10 - 6629939/5875033*c_1001_3^9 + 3788407/5875033*c_1001_3^8 + 14582278/5875033*c_1001_3^7 - 657168/5875033*c_1001_3^6 + 3915361/5875033*c_1001_3^5 + 25928450/5875033*c_1001_3^4 - 22169032/5875033*c_1001_3^3 - 31461286/5875033*c_1001_3^2 - 19467664/5875033*c_1001_3 + 7493274/5875033, c_0101_1 - 2375171/5875033*c_1001_3^10 - 10270251/5875033*c_1001_3^9 + 8473051/5875033*c_1001_3^8 + 23277404/5875033*c_1001_3^7 - 6818449/5875033*c_1001_3^6 + 7404429/5875033*c_1001_3^5 + 47054231/5875033*c_1001_3^4 - 50043086/5875033*c_1001_3^3 - 51125990/5875033*c_1001_3^2 - 23463944/5875033*c_1001_3 + 6455288/5875033, c_0101_2 + 769567/5875033*c_1001_3^10 + 3402804/5875033*c_1001_3^9 - 1900865/5875033*c_1001_3^8 - 5057406/5875033*c_1001_3^7 + 2096255/5875033*c_1001_3^6 - 6676324/5875033*c_1001_3^5 - 14086531/5875033*c_1001_3^4 + 13123254/5875033*c_1001_3^3 + 3337885/5875033*c_1001_3^2 + 7795738/5875033*c_1001_3 + 3499862/5875033, c_0110_4 + 1284731/5875033*c_1001_3^10 + 5111352/5875033*c_1001_3^9 - 6883636/5875033*c_1001_3^8 - 13676957/5875033*c_1001_3^7 + 3970432/5875033*c_1001_3^6 - 3589500/5875033*c_1001_3^5 - 19185834/5875033*c_1001_3^4 + 36295449/5875033*c_1001_3^3 + 28330612/5875033*c_1001_3^2 + 19892121/5875033*c_1001_3 - 9216264/5875033, c_1001_1 + 1722990/5875033*c_1001_3^10 + 6709905/5875033*c_1001_3^9 - 10133537/5875033*c_1001_3^8 - 18602139/5875033*c_1001_3^7 + 9520271/5875033*c_1001_3^6 - 3578696/5875033*c_1001_3^5 - 28964969/5875033*c_1001_3^4 + 53263346/5875033*c_1001_3^3 + 41694257/5875033*c_1001_3^2 + 7207266/5875033*c_1001_3 - 9913483/5875033, c_1001_3^11 + 4*c_1001_3^10 - 5*c_1001_3^9 - 9*c_1001_3^8 + 5*c_1001_3^7 - 4*c_1001_3^6 - 17*c_1001_3^5 + 27*c_1001_3^4 + 16*c_1001_3^3 + 6*c_1001_3^2 - 6*c_1001_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.270 seconds, Total memory usage: 32.09MB