Magma V2.19-8 Tue Aug 20 2013 23:38:56 on localhost [Seed = 1259155241] Type ? for help. Type -D to quit. Loading file "K11n113__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K11n113 geometric_solution 11.01638830 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 -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 1 -1 0 0 -2 2 -2 2 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.940730383986 1.072977630578 0 5 7 6 0132 0132 0132 0132 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 1 0 0 -1 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.268554150802 1.073152550834 3 0 6 8 1023 0132 2310 0132 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 -1 0 1 0 0 -1 0 1 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.062264113089 0.783047906054 4 2 9 0 1023 1023 0132 0132 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 1 0 -1 1 0 -3 2 0 0 0 0 3 -2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.385586664624 0.735926062564 5 3 0 10 0132 1023 0132 0132 0 0 0 0 0 0 0 0 1 0 -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 -1 1 0 2 0 -2 0 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.750713727912 0.650539656968 4 1 7 11 0132 0132 0213 0132 0 0 0 0 0 0 0 0 -1 0 1 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 -2 0 2 0 -3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.775355720867 0.594674401659 10 2 1 9 1023 3201 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.079811159467 0.957458148944 10 5 9 1 0213 0213 2310 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 -1 1 0 0 0 0 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.637102268401 0.759224566274 11 11 2 9 1230 2310 0132 3012 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 0 0 0 0 0 0 0 -3 0 0 3 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.881715639104 1.064324226082 6 7 8 3 3201 3201 1230 0132 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 -3 3 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.343085958788 0.885122600392 7 6 4 11 0213 1023 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.012157745377 1.093379506184 10 8 5 8 3201 3012 0132 3201 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 1 -1 0 0 0 0 0 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.538419168961 0.557176984259 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0101_9']), 'c_1001_11' : negation(d['c_0011_8']), 'c_1001_10' : d['c_0101_0'], 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : d['c_0101_3'], 'c_1001_7' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0011_8']), 'c_1001_0' : d['c_0101_8'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_0101_3'], 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : d['c_0101_8'], 'c_1010_11' : negation(d['c_0101_8']), 'c_1010_10' : negation(d['c_0101_9']), '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_1'], 'c_0101_10' : d['c_0011_7'], '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_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0011_8']), 'c_1100_4' : d['c_0011_11'], 'c_1100_7' : d['c_0011_9'], 'c_1100_6' : d['c_0011_9'], 'c_1100_1' : d['c_0011_9'], 'c_1100_0' : d['c_0011_11'], 'c_1100_3' : d['c_0011_11'], 'c_1100_2' : d['c_0011_10'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_8']), 'c_1100_10' : d['c_0011_11'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_8']), 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : negation(d['c_0011_8']), 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_0101_8'], 'c_1010_2' : d['c_0101_8'], 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0101_3'], 'c_1010_9' : d['c_0101_2'], 'c_1010_8' : negation(d['c_0101_9']), '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' : d['c_0011_9'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_10'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_9'], 'c_0110_10' : negation(d['c_0101_1']), 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_7'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], '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_9'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0011_11'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_7'], 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : 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_7, c_0011_8, c_0011_9, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_8, c_0101_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 24182682029337/8878049467987*c_0101_9^7 - 5835500886454/8878049467987*c_0101_9^6 - 822628114803641/8878049467987*c_0101_9^5 + 4312614574785/12313522147*c_0101_9^4 - 5648027672444413/8878049467987*c_0101_9^3 + 1273491014395661/8878049467987*c_0101_9^2 + 4290384452475908/8878049467987*c_0101_9 - 2591428074137365/8878049467987, c_0011_0 - 1, c_0011_10 - 146305622/648080113*c_0101_9^7 - 16915259/648080113*c_0101_9^6 - 4948550857/648080113*c_0101_9^5 + 19459052818/648080113*c_0101_9^4 - 35709232128/648080113*c_0101_9^3 + 9472770987/648080113*c_0101_9^2 + 28557432035/648080113*c_0101_9 - 17999588342/648080113, c_0011_11 + 97361417/648080113*c_0101_9^7 + 22578196/648080113*c_0101_9^6 + 3310067292/648080113*c_0101_9^5 - 12547865920/648080113*c_0101_9^4 + 22805358655/648080113*c_0101_9^3 - 5057828680/648080113*c_0101_9^2 - 17443011910/648080113*c_0101_9 + 10778685317/648080113, c_0011_7 - 88229726/648080113*c_0101_9^7 + 11139613/648080113*c_0101_9^6 - 2964731499/648080113*c_0101_9^5 + 12470233873/648080113*c_0101_9^4 - 23791812276/648080113*c_0101_9^3 + 9055777513/648080113*c_0101_9^2 + 18705265014/648080113*c_0101_9 - 14198078701/648080113, c_0011_8 + 38659072/648080113*c_0101_9^7 + 9010562/648080113*c_0101_9^6 + 1317135795/648080113*c_0101_9^5 - 4973993373/648080113*c_0101_9^4 + 9142431840/648080113*c_0101_9^3 - 2164073535/648080113*c_0101_9^2 - 7125560609/648080113*c_0101_9 + 4779192070/648080113, c_0011_9 - 17408902/648080113*c_0101_9^7 - 6543321/648080113*c_0101_9^6 - 594178760/648080113*c_0101_9^5 + 2152513870/648080113*c_0101_9^4 - 3819488610/648080113*c_0101_9^3 + 311501037/648080113*c_0101_9^2 + 3385591903/648080113*c_0101_9 - 1361421223/648080113, c_0101_0 - 70194375/648080113*c_0101_9^7 + 3195696/648080113*c_0101_9^6 - 2361440600/648080113*c_0101_9^5 + 9732666401/648080113*c_0101_9^4 - 18226816703/648080113*c_0101_9^3 + 6267514805/648080113*c_0101_9^2 + 14854388831/648080113*c_0101_9 - 9990593759/648080113, c_0101_1 + 28066549/648080113*c_0101_9^7 - 14641725/648080113*c_0101_9^6 + 930419230/648080113*c_0101_9^5 - 4359925111/648080113*c_0101_9^4 + 8629872838/648080113*c_0101_9^3 - 4612302101/648080113*c_0101_9^2 - 6603029133/648080113*c_0101_9 + 5803065050/648080113, c_0101_2 - 1, c_0101_3 + 183503862/648080113*c_0101_9^7 + 35991343/648080113*c_0101_9^6 + 6224305880/648080113*c_0101_9^5 - 23896609976/648080113*c_0101_9^4 + 43352651345/648080113*c_0101_9^3 - 10087124255/648080113*c_0101_9^2 - 34546288177/648080113*c_0101_9 + 20383260008/648080113, c_0101_8 - 21250170/648080113*c_0101_9^7 - 2467241/648080113*c_0101_9^6 - 722957035/648080113*c_0101_9^5 + 2821479503/648080113*c_0101_9^4 - 5322943230/648080113*c_0101_9^3 + 1852572498/648080113*c_0101_9^2 + 3739968706/648080113*c_0101_9 - 2769690734/648080113, c_0101_9^8 + c_0101_9^7 + 34*c_0101_9^6 - 103*c_0101_9^5 + 129*c_0101_9^4 + 144*c_0101_9^3 - 246*c_0101_9^2 - 44*c_0101_9 + 103 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.580 Total time: 0.800 seconds, Total memory usage: 32.09MB