Magma V2.19-8 Tue Aug 20 2013 23:48:54 on localhost [Seed = 3481904466] Type ? for help. Type -D to quit. Loading file "K11n100__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K11n100 geometric_solution 11.57362386 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 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 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.952508720834 0.494687008410 0 2 6 5 0132 0213 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 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 0.794362804797 0.579872263308 7 0 1 8 0132 0132 0213 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 -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 0.451359689720 0.804702864546 8 9 9 0 0321 0132 1302 0132 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 -1 0 1 0 0 1 -1 0 -1 0 1 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.611923353277 0.672036112589 10 10 0 11 0132 1230 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 1 -1 0 -1 0 1 0 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.363900471469 0.970238922839 8 11 1 12 1302 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.242474113617 0.866324943997 12 10 12 1 1023 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.429282231778 0.855265105081 2 11 8 11 0132 0132 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.359987370719 0.389164121164 3 5 2 7 0321 2031 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 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 -0.119786659503 1.404156162050 3 3 12 10 2031 0132 3201 2031 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 1 0 -1 0 0 0 0 1 -2 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.259246884914 0.813521564726 4 9 4 6 0132 1302 3012 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.661105572499 0.903567294012 7 7 4 5 3012 0132 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.140710554907 0.693616969874 9 6 5 6 2310 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.237113807138 1.157030307079 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_10'], 'c_1001_10' : d['c_0011_10'], 'c_1001_12' : d['c_0101_6'], 'c_1001_5' : d['c_0110_11'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : d['c_0011_5'], 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_12']), 'c_1001_3' : d['c_0011_10'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : negation(d['c_0101_12']), 'c_1001_8' : negation(d['c_0101_12']), 'c_1010_12' : d['c_0101_1'], 'c_1010_11' : d['c_0011_5'], 'c_1010_10' : d['c_0011_12'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], '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_2_12' : 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' : 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' : negation(d['c_0011_12']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : negation(d['c_0101_6']), 'c_1100_7' : d['c_0110_11'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0101_6']), 'c_1100_3' : negation(d['c_0101_6']), 'c_1100_2' : d['c_0110_11'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_6']), 'c_1100_10' : negation(d['c_1001_1']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_10'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_0101_6'], 'c_1010_4' : d['c_0101_10'], 'c_1010_3' : negation(d['c_0101_12']), 'c_1010_2' : negation(d['c_0101_12']), 'c_1010_1' : d['c_0110_11'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_0011_10'], 'c_1010_8' : d['c_0011_5'], 'c_1100_8' : d['c_0110_11'], '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'], 'c_1100_12' : d['c_1100_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' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_12'], '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_0110_11'], 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : d['c_0101_6'], 'c_0101_12' : d['c_0101_12'], 'c_0011_11' : negation(d['c_0011_0']), 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_8']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_3'], 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_8']), 'c_0101_9' : negation(d['c_0101_6']), 'c_0101_8' : negation(d['c_0011_3']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_10'], 'c_0110_8' : negation(d['c_0011_3']), 'c_0110_1' : negation(d['c_0011_8']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_8']), 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_12'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(d['c_0011_0']), 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_3, c_0011_5, c_0011_8, c_0101_1, c_0101_10, c_0101_12, c_0101_6, c_0110_11, c_1001_1, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 133/200*c_1100_1^5 + 209/200*c_1100_1^4 + 279/100*c_1100_1^3 - 1613/100*c_1100_1^2 - 5809/200*c_1100_1 - 1083/40, c_0011_0 - 1, c_0011_10 - 3/10*c_1100_1^5 + 17/20*c_1100_1^4 - 1/5*c_1100_1^3 - 53/10*c_1100_1^2 - 91/10*c_1100_1 - 19/4, c_0011_12 - 1/20*c_1100_1^5 + 1/5*c_1100_1^4 - 1/5*c_1100_1^3 - 9/10*c_1100_1^2 + 1/20*c_1100_1 + 1/2, c_0011_3 + 3/20*c_1100_1^5 - 2/5*c_1100_1^4 + 1/10*c_1100_1^3 + 5/2*c_1100_1^2 + 103/20*c_1100_1 + 7/2, c_0011_5 - 1/5*c_1100_1^5 + 1/5*c_1100_1^4 + 6/5*c_1100_1^3 - 5*c_1100_1^2 - 56/5*c_1100_1 - 9, c_0011_8 - 1/10*c_1100_1^5 + 1/10*c_1100_1^4 + 3/5*c_1100_1^3 - 5/2*c_1100_1^2 - 51/10*c_1100_1 - 5, c_0101_1 - 3/20*c_1100_1^5 + 3/10*c_1100_1^4 + 2/5*c_1100_1^3 - 17/5*c_1100_1^2 - 121/20*c_1100_1 - 9/2, c_0101_10 - 3/10*c_1100_1^5 + 17/20*c_1100_1^4 - 1/5*c_1100_1^3 - 53/10*c_1100_1^2 - 91/10*c_1100_1 - 19/4, c_0101_12 + 1/10*c_1100_1^5 - 1/10*c_1100_1^4 - 3/5*c_1100_1^3 + 5/2*c_1100_1^2 + 61/10*c_1100_1 + 5, c_0101_6 - 1/20*c_1100_1^5 + 1/5*c_1100_1^4 - 1/5*c_1100_1^3 - 9/10*c_1100_1^2 + 1/20*c_1100_1 + 1/2, c_0110_11 - 3/10*c_1100_1^5 + 7/10*c_1100_1^4 + 3/10*c_1100_1^3 - 59/10*c_1100_1^2 - 56/5*c_1100_1 - 7, c_1001_1 - 1/10*c_1100_1^5 + 1/10*c_1100_1^4 + 3/5*c_1100_1^3 - 5/2*c_1100_1^2 - 61/10*c_1100_1 - 5, c_1100_1^6 - 2*c_1100_1^5 - c_1100_1^4 + 16*c_1100_1^3 + 47*c_1100_1^2 + 50*c_1100_1 + 25 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 6.980 Total time: 7.190 seconds, Total memory usage: 64.12MB