Magma V2.19-8 Tue Aug 20 2013 23:45:35 on localhost [Seed = 4155609653] Type ? for help. Type -D to quit. Loading file "K13n4084__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n4084 geometric_solution 10.52997983 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 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 1 -1 0 -6 0 0 6 1 -7 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.156179153241 0.979855876534 0 5 5 6 0132 0132 1302 0132 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 0 0 0 6 0 0 -6 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.082170614756 0.706037140883 4 0 7 5 0213 0132 0132 0213 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 1 0 0 0 1 -1 0 0 0 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.362415071893 0.810182945945 8 9 8 0 0132 0132 2310 0132 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 -1 1 0 0 0 0 7 -7 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.634471196440 0.731101751337 2 10 0 11 0213 0132 0132 0132 0 0 0 0 0 0 0 0 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 0 0 0 0 0 -6 6 0 0 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.418918311638 1.461504100941 1 1 10 2 2031 0132 0132 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.837363350327 1.397427967148 8 7 1 10 2103 0132 0132 1230 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 0 0 0 0 0 6 -6 0 0 0 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.326788148160 2.203532232345 8 6 11 2 3012 0132 1302 0132 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 1 -1 1 0 0 -1 0 -7 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.502242157744 0.617026019316 3 3 6 7 0132 3201 2103 1230 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 1 0 -1 0 0 0 0 -1 1 0 0 -7 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.711481151791 0.528023201666 11 3 10 11 3201 0132 0321 0321 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 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.416371713255 1.045639523487 6 4 9 5 3012 0132 0321 0132 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 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.543027895756 0.337360658122 7 9 4 9 2031 0321 0132 2310 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 -1 0 -6 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 0.341058084826 0.315263780045 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_10'], 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_1001_2'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_10'], 'c_1001_6' : d['c_1001_2'], 'c_1001_1' : d['c_0101_11'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_11'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0011_6'], 'c_1010_11' : d['c_0011_11'], 'c_1010_10' : d['c_1001_2'], '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_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_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_1001_10'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1001_0'], 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_7' : d['c_0101_11'], 'c_1100_6' : d['c_0101_5'], 'c_1100_1' : d['c_0101_5'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0101_11'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_3']), 'c_1100_10' : d['c_1001_0'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_0101_10'], 'c_1010_5' : d['c_0101_11'], 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_2'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0011_11'], 'c_1010_8' : negation(d['c_0011_11']), 'c_1100_8' : negation(d['c_0011_10']), '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'], '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' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), '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_0110_11' : d['c_0101_10'], 'c_0110_10' : d['c_0101_5'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : negation(d['c_0011_11']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : negation(d['c_0011_6']), 'c_0101_2' : negation(d['c_0011_10']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_10']), 'c_0101_8' : d['c_0101_0'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_11']), 'c_0110_8' : negation(d['c_0011_6']), 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_11']), 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : negation(d['c_0011_10']), 'c_0110_6' : d['c_0011_10']})} 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_0011_6, c_0101_0, c_0101_10, c_0101_11, c_0101_5, c_1001_0, c_1001_10, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 157485771/18928*c_1001_2^5 + 180605895/9464*c_1001_2^4 + 3520644181/18928*c_1001_2^3 + 2138619811/9464*c_1001_2^2 + 816257865/2704*c_1001_2 + 49846319/676, c_0011_0 - 1, c_0011_10 + c_1001_2 + 1, c_0011_11 + 1/16*c_1001_2^4 + 1/8*c_1001_2^3 + 15/16*c_1001_2^2 + 7/8*c_1001_2 + 1/16, c_0011_3 + 1/8*c_1001_2^5 + 5/16*c_1001_2^4 + 11/4*c_1001_2^3 + 59/16*c_1001_2^2 + 7/2*c_1001_2 + 13/16, c_0011_6 + 1/16*c_1001_2^5 + 3/16*c_1001_2^4 + 25/16*c_1001_2^3 + 45/16*c_1001_2^2 + 63/16*c_1001_2 + 25/16, c_0101_0 - 1/8*c_1001_2^4 - 1/4*c_1001_2^3 - 21/8*c_1001_2^2 - 5/2*c_1001_2 - 19/8, c_0101_10 - 1/8*c_1001_2^5 - 3/8*c_1001_2^4 - 23/8*c_1001_2^3 - 39/8*c_1001_2^2 - 37/8*c_1001_2 - 13/8, c_0101_11 + 1/16*c_1001_2^4 + 1/8*c_1001_2^3 + 19/16*c_1001_2^2 + 9/8*c_1001_2 + 13/16, c_0101_5 - c_1001_2 + 1, c_1001_0 - 1/16*c_1001_2^4 - 1/8*c_1001_2^3 - 19/16*c_1001_2^2 - 9/8*c_1001_2 - 13/16, c_1001_10 - 1/16*c_1001_2^4 - 1/8*c_1001_2^3 - 15/16*c_1001_2^2 - 7/8*c_1001_2 - 1/16, c_1001_2^6 + 3*c_1001_2^5 + 24*c_1001_2^4 + 43*c_1001_2^3 + 56*c_1001_2^2 + 35*c_1001_2 + 7 ], 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_0011_6, c_0101_0, c_0101_10, c_0101_11, c_0101_5, c_1001_0, c_1001_10, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 38955*c_1001_2^7 + 41840*c_1001_2^6 + 92049*c_1001_2^5 + 75266*c_1001_2^4 + 72226*c_1001_2^3 + 61039*c_1001_2^2 + 28748*c_1001_2 + 21909, c_0011_0 - 1, c_0011_10 - c_1001_2, c_0011_11 - 6*c_1001_2^6 - 10*c_1001_2^5 - 9*c_1001_2^4 - 11*c_1001_2^3 - 7*c_1001_2^2 - 6*c_1001_2 - 3, c_0011_3 + 3*c_1001_2^6 - c_1001_2^5 + 2*c_1001_2^4 - 1, c_0011_6 - 3*c_1001_2^7 - 2*c_1001_2^6 - 4*c_1001_2^5 - c_1001_2^4 - 2*c_1001_2^3 - c_1001_2^2, c_0101_0 - 9*c_1001_2^7 - 9*c_1001_2^6 - 20*c_1001_2^5 - 17*c_1001_2^4 - 16*c_1001_2^3 - 13*c_1001_2^2 - 6*c_1001_2 - 3, c_0101_10 - 9*c_1001_2^7 - 15*c_1001_2^6 - 21*c_1001_2^5 - 20*c_1001_2^4 - 18*c_1001_2^3 - 13*c_1001_2^2 - 8*c_1001_2 - 3, c_0101_11 - 3*c_1001_2^7 - 2*c_1001_2^6 - c_1001_2^5 - 2*c_1001_2^4 - c_1001_2^2 + 1, c_0101_5 + 3*c_1001_2^7 + 5*c_1001_2^6 + 9*c_1001_2^5 + 10*c_1001_2^4 + 9*c_1001_2^3 + 8*c_1001_2^2 + 4*c_1001_2 + 2, c_1001_0 - 6*c_1001_2^7 - 10*c_1001_2^6 - 12*c_1001_2^5 - 13*c_1001_2^4 - 11*c_1001_2^3 - 9*c_1001_2^2 - 6*c_1001_2 - 2, c_1001_10 - 6*c_1001_2^7 - 7*c_1001_2^6 - 10*c_1001_2^5 - 9*c_1001_2^4 - 7*c_1001_2^3 - 5*c_1001_2^2 - 3*c_1001_2 - 1, c_1001_2^8 + 5/3*c_1001_2^7 + 3*c_1001_2^6 + 10/3*c_1001_2^5 + 3*c_1001_2^4 + 8/3*c_1001_2^3 + 5/3*c_1001_2^2 + c_1001_2 + 1/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 2.830 Total time: 3.040 seconds, Total memory usage: 32.09MB