Magma V2.19-8 Tue Aug 20 2013 17:56:17 on localhost [Seed = 1764285785] Type ? for help. Type -D to quit. Loading file "10^2_171__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_171 geometric_solution 11.20211794 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 2 3 0132 0132 2031 0132 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 0 0 0 0 0 -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 0.463173791318 0.671336057688 0 3 5 4 0132 2103 0132 0132 1 0 0 1 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 0 0 0.577510406341 0.510044803314 3 0 6 0 3012 0132 0132 1302 0 0 0 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 -1 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 0.726545878521 0.908592833075 6 1 0 2 1023 2103 0132 1230 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 0 0 0 0 -1 1 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 -0.297672022719 1.320268756249 6 7 1 8 2031 0132 0132 0132 1 0 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 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 0.842227294524 0.987475454585 8 6 7 1 0132 2031 0132 0132 1 0 1 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 0.842227294524 0.987475454585 5 3 4 2 1302 1023 1302 0132 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 -1 1 1 0 0 -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 0.027209945815 0.859147309562 9 4 10 5 0132 0132 0132 0132 1 0 0 1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.422489593659 0.510044803314 5 10 4 11 0132 0132 0132 0132 1 0 0 1 0 0 -1 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 1 -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 0.422489593659 0.510044803314 7 10 11 11 0132 1023 2103 3201 0 0 1 0 0 1 0 -1 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 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 0.273454121479 0.908592833075 9 8 11 7 1023 0132 0132 0132 1 0 1 0 0 0 -1 1 -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 0 -1 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 1.297672022719 1.320268756249 9 9 8 10 2103 2310 0132 0132 1 0 0 0 0 0 -1 1 1 0 0 -1 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 -1 0 1 0 0 1 -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 0.273454121479 0.908592833075 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_7']), 'c_1001_10' : negation(d['c_0101_7']), 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : negation(d['c_0110_2']), 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_0011_11'], 'c_1001_8' : d['c_1001_7'], 'c_1010_11' : negation(d['c_0101_7']), 'c_1010_10' : d['c_1001_7'], '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_11'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(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' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(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_1100_1'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : d['c_1100_1'], 'c_1100_6' : d['c_0101_0'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_0110_2'], 'c_1100_3' : d['c_0110_2'], 'c_1100_2' : d['c_0101_0'], 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0011_11']), 'c_1100_11' : d['c_1100_1'], 'c_1100_10' : d['c_1100_1'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_2']), 'c_1010_6' : negation(d['c_0011_0']), 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : d['c_1001_7'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : negation(d['c_0110_2']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : d['c_0101_7'], 'c_1010_8' : negation(d['c_0101_7']), 's_3_1' : negation(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' : negation(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' : d['c_0011_10'], 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_10'], 'c_0011_4' : d['c_0011_10'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : 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_0110_11' : d['c_0011_11'], 'c_0110_10' : d['c_0101_7'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_10']), 'c_0101_5' : d['c_0101_11'], 'c_0101_4' : d['c_0101_0'], '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_11'], 'c_0101_8' : d['c_0101_1'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_7'], 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : d['c_0101_2']})} 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_3, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_7, c_0110_2, c_1001_7, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 222570/12079*c_1100_1^13 + 324665/12079*c_1100_1^12 + 126412/12079*c_1100_1^11 - 28386/257*c_1100_1^10 - 907736/12079*c_1100_1^9 + 95778/12079*c_1100_1^8 + 689826/12079*c_1100_1^7 + 1438132/12079*c_1100_1^6 + 94993/12079*c_1100_1^5 - 158534/12079*c_1100_1^4 - 10814/257*c_1100_1^3 - 766949/12079*c_1100_1^2 + 233455/12079*c_1100_1 + 228840/12079, c_0011_0 - 1, c_0011_10 - c_1100_1, c_0011_11 - 13723/12079*c_1100_1^13 - 15721/12079*c_1100_1^12 - 106/12079*c_1100_1^11 + 1993/257*c_1100_1^10 + 46670/12079*c_1100_1^9 - 10314/12079*c_1100_1^8 - 59466/12079*c_1100_1^7 - 98949/12079*c_1100_1^6 - 10007/12079*c_1100_1^5 - 21199/12079*c_1100_1^4 - 2/257*c_1100_1^3 + 20631/12079*c_1100_1^2 - 29982/12079*c_1100_1 - 13867/12079, c_0011_3 + 7386/12079*c_1100_1^13 - 1712/12079*c_1100_1^12 - 3844/12079*c_1100_1^11 - 956/257*c_1100_1^10 + 44690/12079*c_1100_1^9 - 5505/12079*c_1100_1^8 + 29815/12079*c_1100_1^7 + 10101/12079*c_1100_1^6 - 54539/12079*c_1100_1^5 + 21841/12079*c_1100_1^4 - 732/257*c_1100_1^3 + 15449/12079*c_1100_1^2 + 39038/12079*c_1100_1 - 24501/12079, c_0101_0 - 1, c_0101_1 + 9600/12079*c_1100_1^13 + 10158/12079*c_1100_1^12 + 2206/12079*c_1100_1^11 - 1191/257*c_1100_1^10 - 15428/12079*c_1100_1^9 + 6798/12079*c_1100_1^8 + 17587/12079*c_1100_1^7 + 55057/12079*c_1100_1^6 - 28763/12079*c_1100_1^5 + 6791/12079*c_1100_1^4 - 356/257*c_1100_1^3 - 12291/12079*c_1100_1^2 + 27308/12079*c_1100_1 - 4724/12079, c_0101_11 + 17000/12079*c_1100_1^13 + 43656/12079*c_1100_1^12 + 49706/12079*c_1100_1^11 - 1065/257*c_1100_1^10 - 124959/12079*c_1100_1^9 - 83084/12079*c_1100_1^8 - 65740/12079*c_1100_1^7 + 38360/12079*c_1100_1^6 + 19778/12079*c_1100_1^5 + 4728/12079*c_1100_1^4 + 162/257*c_1100_1^3 - 49698/12079*c_1100_1^2 + 7088/12079*c_1100_1 + 26865/12079, c_0101_2 + 9600/12079*c_1100_1^13 + 10158/12079*c_1100_1^12 + 2206/12079*c_1100_1^11 - 1191/257*c_1100_1^10 - 15428/12079*c_1100_1^9 + 6798/12079*c_1100_1^8 + 17587/12079*c_1100_1^7 + 55057/12079*c_1100_1^6 - 28763/12079*c_1100_1^5 + 6791/12079*c_1100_1^4 - 356/257*c_1100_1^3 - 12291/12079*c_1100_1^2 + 27308/12079*c_1100_1 - 4724/12079, c_0101_7 + 4108/12079*c_1100_1^13 + 4075/12079*c_1100_1^12 + 1558/12079*c_1100_1^11 - 456/257*c_1100_1^10 + 263/12079*c_1100_1^9 + 5053/12079*c_1100_1^8 + 4350/12079*c_1100_1^7 + 8758/12079*c_1100_1^6 - 26808/12079*c_1100_1^5 - 6571/12079*c_1100_1^4 + 10/257*c_1100_1^3 + 1701/12079*c_1100_1^2 + 12672/12079*c_1100_1 - 6994/12079, c_0110_2 + 14786/12079*c_1100_1^13 + 31786/12079*c_1100_1^12 + 43656/12079*c_1100_1^11 - 830/257*c_1100_1^10 - 64841/12079*c_1100_1^9 - 95387/12079*c_1100_1^8 - 53512/12079*c_1100_1^7 - 6596/12079*c_1100_1^6 - 5998/12079*c_1100_1^5 + 19778/12079*c_1100_1^4 - 214/257*c_1100_1^3 - 21958/12079*c_1100_1^2 - 5340/12079*c_1100_1 - 4991/12079, c_1001_7 + 7386/12079*c_1100_1^13 - 1712/12079*c_1100_1^12 - 3844/12079*c_1100_1^11 - 956/257*c_1100_1^10 + 44690/12079*c_1100_1^9 - 5505/12079*c_1100_1^8 + 29815/12079*c_1100_1^7 + 10101/12079*c_1100_1^6 - 54539/12079*c_1100_1^5 + 21841/12079*c_1100_1^4 - 732/257*c_1100_1^3 + 27528/12079*c_1100_1^2 + 26959/12079*c_1100_1 - 24501/12079, c_1100_1^14 + c_1100_1^13 - 6*c_1100_1^11 - c_1100_1^10 + 2*c_1100_1^9 + 2*c_1100_1^8 + 4*c_1100_1^7 - 3*c_1100_1^6 - c_1100_1^4 - 2*c_1100_1^3 + 3*c_1100_1^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.270 seconds, Total memory usage: 32.09MB