Magma V2.19-8 Tue Aug 20 2013 17:56:30 on localhost [Seed = 2547393453] Type ? for help. Type -D to quit. Loading file "9^2_8__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation 9^2_8 geometric_solution 8.58439465 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 10 1 2 3 2 0132 0132 0132 3012 0 0 0 1 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 1 -1 0 1 0 0 -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 1.246493092972 1.345266475358 0 3 5 4 0132 3120 0132 0132 1 0 1 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 -1 0 1 0 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.261444759356 0.615687520734 3 0 0 5 2031 0132 1230 3201 0 0 1 0 0 0 -1 1 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 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.629404507163 0.399961857184 6 1 2 0 0132 3120 1302 0132 0 0 1 1 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 -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 0.236180546435 0.503475591210 6 7 1 8 2103 0132 0132 0132 1 0 0 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 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 -0.234726765262 0.529849039341 9 2 6 1 0132 2310 2031 0132 1 0 0 0 0 -1 1 0 -1 0 0 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 1 -1 0 1 0 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 1.438295763943 1.672518367074 3 8 4 5 0132 1302 2103 1302 0 0 1 1 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 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 0.808891256780 1.272556509890 9 4 9 8 1302 0132 0321 0321 1 0 1 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 -1 1 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 0.236326284190 1.627954043476 9 7 4 6 3201 0321 0132 2031 1 0 1 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 -1 0 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 1.000145737755 1.124478452266 5 7 7 8 0132 2031 0321 2310 1 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 0 0 0 0 -1 1 0 -1 0 0 1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.912668549000 0.601590251652 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_0011_0']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_7' : d['c_0011_8'], 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : negation(d['c_0110_2']), 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : d['c_0110_2'], 'c_1001_2' : negation(d['c_0101_2']), 'c_1001_9' : d['c_0011_8'], 'c_1001_8' : d['c_0011_8'], 's_2_8' : d['1'], 's_2_9' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(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_8'], 'c_1100_8' : negation(d['c_1010_6']), 'c_1100_5' : negation(d['c_1010_6']), 'c_1100_4' : negation(d['c_1010_6']), 'c_1100_7' : d['c_0011_8'], 'c_1100_6' : d['c_0101_5'], 'c_1100_1' : negation(d['c_1010_6']), 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : negation(d['c_0011_5']), 'c_1010_7' : negation(d['c_0011_3']), 'c_1010_6' : d['c_1010_6'], 'c_1010_5' : negation(d['c_0110_2']), 'c_1010_4' : d['c_0011_8'], 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : negation(d['c_0101_2']), 'c_1010_9' : negation(d['c_0011_4']), 'c_1010_8' : negation(d['c_0011_3']), 's_3_1' : d['1'], 's_3_0' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_5']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), '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_0101_7' : d['c_0011_5'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_5']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_5']), 'c_0101_8' : negation(d['c_0101_5']), 'c_0110_9' : d['c_0101_5'], 'c_0110_8' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_5']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : negation(d['c_0011_5']), 'c_0110_4' : negation(d['c_0101_5']), 'c_0110_7' : negation(d['c_0011_8']), 'c_0110_6' : d['c_0011_0']})} 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_3, c_0011_4, c_0011_5, c_0011_8, c_0101_0, c_0101_2, c_0101_5, c_0110_2, c_1010_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 944287/254450*c_1010_6^7 - 2150734/127225*c_1010_6^6 + 7001208/127225*c_1010_6^5 - 697379/7270*c_1010_6^4 + 42250381/254450*c_1010_6^3 - 5746437/36350*c_1010_6^2 + 25782693/254450*c_1010_6 - 5246237/127225, c_0011_0 - 1, c_0011_3 - 363/1454*c_1010_6^7 + 830/727*c_1010_6^6 - 2664/727*c_1010_6^5 + 9007/1454*c_1010_6^4 - 15001/1454*c_1010_6^3 + 13835/1454*c_1010_6^2 - 6431/1454*c_1010_6 + 445/727, c_0011_4 + 73/1454*c_1010_6^7 - 229/727*c_1010_6^6 + 728/727*c_1010_6^5 - 3029/1454*c_1010_6^4 + 4667/1454*c_1010_6^3 - 6239/1454*c_1010_6^2 + 2539/1454*c_1010_6 - 460/727, c_0011_5 + 1, c_0011_8 - 63/1454*c_1010_6^7 + 108/727*c_1010_6^6 - 210/727*c_1010_6^5 - 35/1454*c_1010_6^4 + 653/1454*c_1010_6^3 - 2045/1454*c_1010_6^2 + 4063/1454*c_1010_6 - 818/727, c_0101_0 + 114/727*c_1010_6^7 - 1301/1454*c_1010_6^6 + 2214/727*c_1010_6^5 - 4541/727*c_1010_6^4 + 14427/1454*c_1010_6^3 - 16867/1454*c_1010_6^2 + 9633/1454*c_1010_6 - 3461/1454, c_0101_2 + 518/727*c_1010_6^7 - 4279/1454*c_1010_6^6 + 6846/727*c_1010_6^5 - 10698/727*c_1010_6^4 + 38617/1454*c_1010_6^3 - 29297/1454*c_1010_6^2 + 20507/1454*c_1010_6 - 4681/1454, c_0101_5 + 363/1454*c_1010_6^7 - 830/727*c_1010_6^6 + 2664/727*c_1010_6^5 - 9007/1454*c_1010_6^4 + 15001/1454*c_1010_6^3 - 13835/1454*c_1010_6^2 + 7885/1454*c_1010_6 - 1172/727, c_0110_2 + 114/727*c_1010_6^7 - 1301/1454*c_1010_6^6 + 2214/727*c_1010_6^5 - 4541/727*c_1010_6^4 + 14427/1454*c_1010_6^3 - 16867/1454*c_1010_6^2 + 9633/1454*c_1010_6 - 3461/1454, c_1010_6^8 - 5*c_1010_6^7 + 17*c_1010_6^6 - 33*c_1010_6^5 + 58*c_1010_6^4 - 65*c_1010_6^3 + 51*c_1010_6^2 - 26*c_1010_6 + 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.230 seconds, Total memory usage: 32.09MB