Magma V2.19-8 Tue Aug 20 2013 17:58:11 on localhost [Seed = 1444405766] Type ? for help. Type -D to quit. Loading file "10^2_163__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_163 geometric_solution 11.98307382 oriented_manifold CS_known -0.0000000000000005 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 1 2 3 0132 1302 0132 0132 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 0 0 0 0 0 0 1 0 -1 -1 0 2 -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 0.731308659567 1.604623344254 0 4 2 0 0132 0132 3012 2031 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 -1 0 1 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 0.101507447052 0.606201967254 3 1 5 0 0132 1230 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 2 -2 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.033515763851 1.088605633748 2 5 0 6 0132 0132 0132 0132 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 0 0 0 0 0 0 0 1 -1 0 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 0.284611286121 0.314768645020 7 1 7 8 0132 0132 3012 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 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 0.504559313435 0.604045987271 8 3 6 2 1230 0132 0132 0132 1 1 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 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 0.369496950691 0.722555038959 8 9 3 5 0213 0132 0132 0132 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 0 0 0 0 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 -0.051219678421 1.511013850496 4 4 9 10 0132 1230 1302 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 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.811754670507 0.989698998619 6 5 4 11 0213 3012 0132 0132 0 0 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 1 -1 0 0 0 0 1 -2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.181583648554 1.256539377809 7 6 12 12 2031 0132 0213 0132 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 -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 0.610390189727 0.800508034092 11 12 7 11 0132 1302 0132 2031 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 0 -1 0 0 1 0 1 0 -1 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.008675593041 0.786855163726 10 10 8 12 0132 1302 0132 3120 0 0 0 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 -1 1 0 1 0 0 -1 -2 0 0 2 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.014010601524 1.270727442377 11 9 9 10 3120 0213 0132 2031 1 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 1 0 -1 1 0 -1 0 -2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.491553655230 1.009965970628 ==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_0101_10'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_1001_12'], 'c_1001_4' : d['c_0011_0'], 'c_1001_7' : d['c_0101_12'], 'c_1001_6' : d['c_1001_12'], 'c_1001_1' : negation(d['c_0011_2']), 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_12'], 'c_1001_8' : negation(d['c_0011_2']), 'c_1010_12' : d['c_0011_10'], 'c_1010_11' : negation(d['c_0011_12']), 'c_1010_10' : negation(d['c_0011_10']), 's_3_11' : 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_11'], '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' : d['c_0011_10'], 'c_1100_8' : negation(d['c_0101_12']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : negation(d['c_0101_12']), 'c_1100_7' : d['c_0011_12'], 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : negation(d['c_1001_2']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0101_12']), 'c_1100_10' : d['c_0011_12'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_10'], 'c_1010_6' : d['c_1001_12'], 'c_1010_5' : d['c_1001_2'], 'c_1010_4' : negation(d['c_0011_2']), 'c_1010_3' : d['c_1001_12'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_12'], 'c_1010_8' : d['c_0101_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_0011_10'], '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_6']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_0']), '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_2']), 'c_0011_2' : d['c_0011_2'], 'c_0110_11' : d['c_0101_10'], 'c_0110_10' : d['c_0101_11'], 'c_0110_12' : d['c_0101_10'], 'c_0101_12' : d['c_0101_12'], 'c_0011_11' : negation(d['c_0011_10']), 'c_0101_7' : d['c_0011_6'], 'c_0101_6' : d['c_0011_8'], 'c_0101_5' : negation(d['c_0101_11']), 'c_0101_4' : d['c_0101_10'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_8'], 'c_0101_1' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_12'], 'c_0101_8' : d['c_0011_6'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_12'], 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_0'], 'c_0110_3' : d['c_0011_8'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_8'], 'c_0110_4' : d['c_0011_6'], 'c_0110_7' : d['c_0101_10'], 'c_0110_6' : negation(d['c_0101_11'])})} 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_2, c_0011_6, c_0011_8, c_0101_0, c_0101_10, c_0101_11, c_0101_12, c_1001_12, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 25/32*c_1100_0^15 + 15/4*c_1100_0^14 + 603/32*c_1100_0^13 + 2965/32*c_1100_0^12 + 1021/4*c_1100_0^11 + 4705/8*c_1100_0^10 + 16781/16*c_1100_0^9 + 24739/16*c_1100_0^8 + 59171/32*c_1100_0^7 + 57135/32*c_1100_0^6 + 42951/32*c_1100_0^5 + 23469/32*c_1100_0^4 + 7909/32*c_1100_0^3 + 583/32*c_1100_0^2 - 207/32*c_1100_0 + 307/32, c_0011_0 - 1, c_0011_10 - c_1100_0^12 - 3*c_1100_0^11 - 11*c_1100_0^10 - 22*c_1100_0^9 - 41*c_1100_0^8 - 56*c_1100_0^7 - 64*c_1100_0^6 - 56*c_1100_0^5 - 38*c_1100_0^4 - 17*c_1100_0^3 - 5*c_1100_0^2 - 2*c_1100_0 - 1, c_0011_12 - c_1100_0^15 - 4*c_1100_0^14 - 16*c_1100_0^13 - 40*c_1100_0^12 - 88*c_1100_0^11 - 152*c_1100_0^10 - 224*c_1100_0^9 - 272*c_1100_0^8 - 276*c_1100_0^7 - 224*c_1100_0^6 - 144*c_1100_0^5 - 64*c_1100_0^4 - 16*c_1100_0^3, c_0011_2 - c_1100_0, c_0011_6 + c_1100_0^6 + 2*c_1100_0^5 + 5*c_1100_0^4 + 6*c_1100_0^3 + 6*c_1100_0^2 + 4*c_1100_0 + 1, c_0011_8 - c_1100_0^2 - c_1100_0 - 1, c_0101_0 - 1, c_0101_10 + c_1100_0^7 + 2*c_1100_0^6 + 6*c_1100_0^5 + 8*c_1100_0^4 + 10*c_1100_0^3 + 8*c_1100_0^2 + 4*c_1100_0, c_0101_11 + c_1100_0^4 + c_1100_0^3 + 3*c_1100_0^2 + 2*c_1100_0 + 1, c_0101_12 + c_1100_0^8 + 2*c_1100_0^7 + 7*c_1100_0^6 + 10*c_1100_0^5 + 15*c_1100_0^4 + 14*c_1100_0^3 + 10*c_1100_0^2 + 4*c_1100_0 + 1, c_1001_12 - c_1100_0^3 - c_1100_0^2 - 2*c_1100_0 - 1, c_1001_2 - c_1100_0 - 1, c_1100_0^16 + 5*c_1100_0^15 + 21*c_1100_0^14 + 60*c_1100_0^13 + 143*c_1100_0^12 + 276*c_1100_0^11 + 450*c_1100_0^10 + 616*c_1100_0^9 + 711*c_1100_0^8 + 682*c_1100_0^7 + 534*c_1100_0^6 + 328*c_1100_0^5 + 146*c_1100_0^4 + 40*c_1100_0^3 + 4*c_1100_0^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.210 Total time: 0.420 seconds, Total memory usage: 32.09MB