Magma V2.19-8 Tue Aug 20 2013 23:30:16 on localhost [Seed = 374370361] Type ? for help. Type -D to quit. Loading file "L13a4970__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13a4970 geometric_solution 5.22012321 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 8 1 2 3 1 0132 0132 0132 2031 1 1 0 1 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 -1 0 1 0 0 7 -7 8 -1 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.747562356265 0.684767287684 0 0 4 4 0132 1302 3012 0132 1 1 1 0 0 1 0 -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 0 7 -1 -6 0 0 6 -6 0 -1 0 1 -8 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.272626417436 0.666274366401 4 0 4 3 3012 0132 1302 1230 1 1 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 1 6 -7 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 0.473944705933 1.285631675180 2 5 5 0 3012 0132 3201 0132 1 1 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 0 0 7 0 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.963846340579 0.282651440452 2 1 1 2 2031 1230 0132 1230 1 1 0 1 0 -1 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 -6 6 0 -6 0 6 0 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.747562356265 0.684767287684 3 3 6 6 2310 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.680474156603 0.674188476787 5 7 7 5 3201 0132 3201 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.434186608733 0.094664574582 6 6 7 7 2310 0132 1230 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.793461140462 0.133642237252 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { '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_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : 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_6' : d['c_0011_6'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_0011_3'], 'c_1100_7' : negation(d['c_0101_3']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0101_0'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_4']), 'c_0101_1' : negation(d['c_0011_4']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_6']), '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_7' : d['c_0101_3'], 'c_1001_6' : negation(d['c_0101_7']), 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : d['c_0101_3'], 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_4']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : negation(d['c_0101_3']), 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_7' : negation(d['c_0101_3']), 'c_0110_6' : d['c_0101_5'], 'c_1010_7' : negation(d['c_0101_7']), 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0011_4']), 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : negation(d['c_0011_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 9 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_6, c_0101_0, c_0101_3, c_0101_5, c_0101_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 20685/1352*c_0101_7^7 + 22563/1352*c_0101_7^6 + 295961/1352*c_0101_7^5 + 377797/1352*c_0101_7^4 - 421787/1352*c_0101_7^3 - 311927/1352*c_0101_7^2 + 251367/1352*c_0101_7 - 51265/1352, c_0011_0 - 1, c_0011_3 + 37365/2704*c_0101_7^7 + 134733/2704*c_0101_7^6 + 103703/2704*c_0101_7^5 - 180277/2704*c_0101_7^4 - 91569/2704*c_0101_7^3 + 85359/2704*c_0101_7^2 - 31699/2704*c_0101_7 + 7185/2704, c_0011_4 + 27225/1352*c_0101_7^7 + 102285/1352*c_0101_7^6 + 90183/1352*c_0101_7^5 - 120789/1352*c_0101_7^4 - 87513/1352*c_0101_7^3 + 52911/1352*c_0101_7^2 - 12095/1352*c_0101_7 + 1777/1352, c_0011_6 - 37215/2704*c_0101_7^7 - 126753/2704*c_0101_7^6 - 74613/2704*c_0101_7^5 + 206185/2704*c_0101_7^4 + 58907/2704*c_0101_7^3 - 110451/2704*c_0101_7^2 + 47361/2704*c_0101_7 - 9517/2704, c_0101_0 - 1, c_0101_3 - 29385/2704*c_0101_7^7 - 100587/2704*c_0101_7^6 - 60891/2704*c_0101_7^5 + 162575/2704*c_0101_7^4 + 53685/2704*c_0101_7^3 - 83193/2704*c_0101_7^2 + 31815/2704*c_0101_7 - 6931/2704, c_0101_5 + 2115/676*c_0101_7^7 + 1512/169*c_0101_7^6 + 3/338*c_0101_7^5 - 7575/338*c_0101_7^4 + 2323/676*c_0101_7^3 + 2591/169*c_0101_7^2 - 1229/169*c_0101_7 + 527/338, c_0101_7^8 + 16/5*c_0101_7^7 + 4/3*c_0101_7^6 - 88/15*c_0101_7^5 - 2/5*c_0101_7^4 + 16/5*c_0101_7^3 - 28/15*c_0101_7^2 + 8/15*c_0101_7 - 1/15 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB