Magma V2.19-8 Tue Aug 20 2013 23:50:45 on localhost [Seed = 1696796249] Type ? for help. Type -D to quit. Loading file "L12n829__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n829 geometric_solution 10.71919775 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 0 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 0 0 0 0 0 0 0 2 0 -1 -1 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.785621476772 0.441051156803 0 5 7 6 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 1 -1 0 -2 0 2 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 0.601167204536 0.466176821968 3 0 5 6 0213 0132 1302 2310 1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 2 -2 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.584626702598 0.441690989962 2 8 8 0 0213 0132 1302 0132 1 0 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 0 -1 0 0 1 0 0 0 0 -1 3 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.881262266622 0.961648997307 5 9 0 7 2310 0132 0132 0132 1 0 1 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 0 0 0 0 0 0 0 0 -1 0 1 -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 0.295182510334 0.380958280587 2 1 4 9 2031 0132 3201 1023 1 1 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 1 0 0 0 0 0 0 0 0 0 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.055256574931 0.586573340706 2 7 1 8 3201 2031 0132 1302 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 0 0 0 0 0 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.456182747160 0.852151723135 6 10 4 1 1302 0132 0132 0132 1 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 0 0 0 0 0 -1 1 2 0 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.197719131645 1.830255359587 3 3 6 11 2031 0132 2031 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 0 2 -3 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.482034546568 0.565213078783 10 4 11 5 2031 0132 2103 1023 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 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 0.029046204761 0.964997381129 11 7 9 11 3201 0132 1302 0321 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 0 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 0.469585915657 0.889622669328 9 10 8 10 2103 0321 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -0.214804429873 0.702749152834 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_11'], 'c_1001_10' : d['c_0110_9'], 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : d['c_0110_5'], 'c_1001_7' : d['c_0011_11'], 'c_1001_6' : negation(d['c_0101_1']), 'c_1001_1' : d['c_0110_9'], 'c_1001_0' : negation(d['c_0110_6']), 'c_1001_3' : d['c_0101_11'], 'c_1001_2' : d['c_0110_5'], 'c_1001_9' : d['c_0011_11'], 'c_1001_8' : negation(d['c_0110_6']), 'c_1010_11' : d['c_0011_11'], 'c_1010_10' : d['c_0011_11'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_4'], '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' : negation(d['1']), 's_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0101_8'], 'c_1100_7' : d['c_0101_8'], 'c_1100_6' : d['c_0101_8'], 'c_1100_1' : d['c_0101_8'], 'c_1100_0' : d['c_0101_8'], 'c_1100_3' : d['c_0101_8'], 'c_1100_2' : d['c_0011_6'], 's_3_11' : d['1'], 'c_1100_9' : d['c_0011_4'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : d['c_0101_11'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0110_9'], 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : d['c_0110_9'], 'c_1010_4' : d['c_0011_11'], 'c_1010_3' : negation(d['c_0110_6']), 'c_1010_2' : negation(d['c_0110_6']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0110_5'], 'c_1010_9' : d['c_0110_5'], 'c_1010_8' : d['c_0101_11'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(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_4']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : d['c_0011_6'], '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' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_4']), 'c_0110_10' : negation(d['c_0011_11']), 'c_0101_7' : negation(d['c_0011_6']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_6'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : d['c_0101_11'], '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' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0110_6']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_11, c_0101_8, c_0110_5, c_0110_6, c_0110_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 17517367/38656652*c_0110_9^6 - 87033693/77313304*c_0110_9^5 - 47030265/9664163*c_0110_9^4 + 784928787/77313304*c_0110_9^3 + 361091761/19328326*c_0110_9^2 - 250927949/9664163*c_0110_9 - 1506974747/77313304, c_0011_0 - 1, c_0011_10 + 941/14489*c_0110_9^6 - 770/14489*c_0110_9^5 - 6344/14489*c_0110_9^4 + 4603/14489*c_0110_9^3 + 6435/14489*c_0110_9^2 - 16113/14489*c_0110_9 + 11647/14489, c_0011_11 - 63/14489*c_0110_9^6 - 241/14489*c_0110_9^5 + 9/14489*c_0110_9^4 + 4696/14489*c_0110_9^3 + 3049/14489*c_0110_9^2 - 9992/14489*c_0110_9 - 2997/14489, c_0011_4 - 1090/14489*c_0110_9^6 + 430/14489*c_0110_9^5 + 10505/14489*c_0110_9^4 - 2006/14489*c_0110_9^3 - 26362/14489*c_0110_9^2 + 8810/14489*c_0110_9 - 6316/14489, c_0011_6 + 1090/14489*c_0110_9^6 - 430/14489*c_0110_9^5 - 10505/14489*c_0110_9^4 + 2006/14489*c_0110_9^3 + 26362/14489*c_0110_9^2 - 8810/14489*c_0110_9 + 6316/14489, c_0101_0 - 1, c_0101_1 + 63/14489*c_0110_9^6 + 241/14489*c_0110_9^5 - 9/14489*c_0110_9^4 - 4696/14489*c_0110_9^3 - 3049/14489*c_0110_9^2 + 9992/14489*c_0110_9 + 2997/14489, c_0101_11 + 1188/14489*c_0110_9^6 - 1665/14489*c_0110_9^5 - 10519/14489*c_0110_9^4 + 10800/14489*c_0110_9^3 + 23229/14489*c_0110_9^2 - 20635/14489*c_0110_9 + 10978/14489, c_0101_8 + 809/14489*c_0110_9^6 - 585/14489*c_0110_9^5 - 8395/14489*c_0110_9^4 + 3403/14489*c_0110_9^3 + 18343/14489*c_0110_9^2 - 2551/14489*c_0110_9 + 13647/14489, c_0110_5 - 711/14489*c_0110_9^6 - 650/14489*c_0110_9^5 + 8381/14489*c_0110_9^4 + 5391/14489*c_0110_9^3 - 21476/14489*c_0110_9^2 - 9274/14489*c_0110_9 - 8985/14489, c_0110_6 + 379/14489*c_0110_9^6 - 1080/14489*c_0110_9^5 - 2124/14489*c_0110_9^4 + 7397/14489*c_0110_9^3 + 4886/14489*c_0110_9^2 - 18084/14489*c_0110_9 - 2669/14489, c_0110_9^7 - 3*c_0110_9^6 - 8*c_0110_9^5 + 25*c_0110_9^4 + 15*c_0110_9^3 - 55*c_0110_9^2 + 31*c_0110_9 - 29 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.120 Total time: 0.320 seconds, Total memory usage: 32.09MB