Magma V2.19-8 Wed Aug 21 2013 00:59:27 on localhost [Seed = 2446822087] Type ? for help. Type -D to quit. Loading file "L13n6973__sl2_c4.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n6973 geometric_solution 12.42119182 oriented_manifold CS_known 0.0000000000000007 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 1 2 3 0132 1230 0132 0132 1 1 0 2 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 0 0 0 0 0 0 0 0 2 -1 -1 -2 0 2 0 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.558515343909 0.693984543944 0 4 0 5 0132 0132 3012 0132 2 1 2 0 0 0 0 0 1 0 -1 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 2 0 -2 0 -1 -7 0 8 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.296184773159 0.874527252557 4 6 7 0 2103 0132 0132 0132 1 1 2 2 0 0 0 0 1 0 0 -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 2 0 0 -2 0 -1 0 1 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.806645627559 0.692962171321 4 4 0 5 0132 1302 0132 1230 1 1 2 0 0 -1 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 -1 1 0 -1 0 0 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 0.558515343909 0.693984543944 3 1 2 3 0132 0132 2103 2031 2 1 0 2 0 0 0 0 0 0 -1 1 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -2 1 1 -1 0 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.652578690941 1.025810340115 3 7 1 6 3012 3012 0132 3012 2 1 1 2 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 -1 0 0 1 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.373572093984 1.338843937812 8 2 5 9 0132 0132 1230 0132 1 1 2 2 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 0 -1 0 0 -1 1 0 7 0 -7 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.841090081360 0.610720470563 5 10 11 2 1230 0132 0132 0132 1 1 2 2 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 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.841090081360 0.610720470563 6 10 10 11 0132 1023 2031 3120 2 1 2 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 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 0.622750622664 0.802224901718 12 10 6 12 0132 0213 0132 1023 1 1 2 2 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 1 0 -1 0 0 0 0 0 1 -8 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.718226374209 0.533487736466 8 7 9 8 1023 0132 0213 1302 1 2 2 2 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 1 0 0 -1 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.622750622664 0.802224901718 8 12 12 7 3120 0132 1023 0132 1 1 2 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 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 0.718226374209 0.533487736466 9 11 11 9 0132 0132 1023 1023 1 1 2 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 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 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 1.102731043493 0.666477870762 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_8'], 'c_1001_11' : d['c_0101_12'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_0101_11'], 'c_1001_5' : d['c_0011_10'], 'c_1001_4' : d['c_0011_10'], 'c_1001_7' : d['c_0101_11'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_1001_10'], 'c_1001_9' : d['c_1001_10'], 'c_1001_8' : d['c_0011_11'], 'c_1010_12' : d['c_0101_12'], 'c_1010_11' : d['c_0101_11'], 'c_1010_10' : d['c_0101_11'], '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'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_11'], 's_2_0' : negation(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' : negation(d['1']), 's_2_6' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0101_11']), 'c_0011_12' : negation(d['c_0011_11']), 'c_1100_5' : negation(d['c_1001_0']), 'c_1100_4' : negation(d['c_0101_0']), 'c_1100_7' : d['c_0110_5'], 'c_1100_6' : d['c_0110_5'], 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : d['c_0110_5'], 'c_1100_3' : d['c_0110_5'], 'c_1100_2' : d['c_0110_5'], 's_0_10' : d['1'], 'c_1100_9' : d['c_0110_5'], 'c_1100_11' : d['c_0110_5'], 'c_1100_10' : d['c_0101_8'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_10'], 'c_1010_6' : d['c_1001_10'], 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_10'], 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_0101_8'], 'c_1010_8' : negation(d['c_0011_11']), 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : negation(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' : negation(d['c_0110_5']), 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(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_11'], 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : negation(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' : d['c_0011_10'], 'c_0110_11' : d['c_0101_6'], 'c_0110_10' : negation(d['c_0011_11']), 'c_0110_12' : d['c_0101_8'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_5'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], '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_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_5'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0011_5'], 'c_0011_10' : d['c_0011_10'], 's_2_9' : d['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_11, c_0011_5, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_6, c_0101_8, c_0110_5, c_1001_0, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 363006041920262/277170363*c_1001_10^9 - 566420579616188/277170363*c_1001_10^8 - 43683998755155/20531138*c_1001_10^7 - 239753140312003/277170363*c_1001_10^6 - 1256196449780827/2217362904*c_1001_10^5 + 491529817776059/739120968*c_1001_10^4 - 87621476410163/739120968*c_1001_10^3 + 50924965518011/1970989248*c_1001_10^2 - 2575032768532445/35477806464*c_1001_10 + 971458367551681/11825935488, c_0011_0 - 1, c_0011_10 + 1536640/106563*c_1001_10^9 + 2261632/106563*c_1001_10^8 + 820512/35521*c_1001_10^7 + 1091360/106563*c_1001_10^6 + 912040/106563*c_1001_10^5 - 234216/35521*c_1001_10^4 + 89636/35521*c_1001_10^3 - 68033/35521*c_1001_10^2 + 198649/213126*c_1001_10 - 106569/71042, c_0011_11 - 6193376/106563*c_1001_10^9 - 9916736/106563*c_1001_10^8 - 3432312/35521*c_1001_10^7 - 3958768/106563*c_1001_10^6 - 2184686/106563*c_1001_10^5 + 1202982/35521*c_1001_10^4 - 50782/35521*c_1001_10^3 + 243445/142084*c_1001_10^2 - 3515633/852504*c_1001_10 + 1049385/284168, c_0011_5 - 1536640/106563*c_1001_10^9 - 2261632/106563*c_1001_10^8 - 820512/35521*c_1001_10^7 - 1091360/106563*c_1001_10^6 - 912040/106563*c_1001_10^5 + 234216/35521*c_1001_10^4 - 89636/35521*c_1001_10^3 + 68033/35521*c_1001_10^2 - 198649/213126*c_1001_10 + 35527/71042, c_0101_0 - 1, c_0101_1 - 1, c_0101_11 - 2986624/106563*c_1001_10^9 - 4879744/106563*c_1001_10^8 - 1804192/35521*c_1001_10^7 - 2723360/106563*c_1001_10^6 - 1811704/106563*c_1001_10^5 + 439104/35521*c_1001_10^4 - 25600/35521*c_1001_10^3 + 69845/35521*c_1001_10^2 - 135475/213126*c_1001_10 + 107557/71042, c_0101_12 - 7533376/106563*c_1001_10^9 - 10947328/106563*c_1001_10^8 - 3508240/35521*c_1001_10^7 - 3054560/106563*c_1001_10^6 - 2084548/106563*c_1001_10^5 + 1476108/35521*c_1001_10^4 - 322264/35521*c_1001_10^3 - 47209/71042*c_1001_10^2 - 1594271/426252*c_1001_10 + 649707/142084, c_0101_6 - c_1001_10, c_0101_8 - 2986624/106563*c_1001_10^9 - 4879744/106563*c_1001_10^8 - 1804192/35521*c_1001_10^7 - 2723360/106563*c_1001_10^6 - 1811704/106563*c_1001_10^5 + 439104/35521*c_1001_10^4 - 25600/35521*c_1001_10^3 + 69845/35521*c_1001_10^2 - 135475/213126*c_1001_10 + 107557/71042, c_0110_5 - 1536640/106563*c_1001_10^9 - 2261632/106563*c_1001_10^8 - 820512/35521*c_1001_10^7 - 1091360/106563*c_1001_10^6 - 912040/106563*c_1001_10^5 + 234216/35521*c_1001_10^4 - 89636/35521*c_1001_10^3 + 68033/35521*c_1001_10^2 - 198649/213126*c_1001_10 + 106569/71042, c_1001_0 + 1536640/106563*c_1001_10^9 + 2261632/106563*c_1001_10^8 + 820512/35521*c_1001_10^7 + 1091360/106563*c_1001_10^6 + 912040/106563*c_1001_10^5 - 234216/35521*c_1001_10^4 + 89636/35521*c_1001_10^3 - 68033/35521*c_1001_10^2 + 198649/213126*c_1001_10 - 35527/71042, c_1001_10^10 + c_1001_10^9 + 3/4*c_1001_10^8 - 1/4*c_1001_10^7 + 1/16*c_1001_10^6 - 3/4*c_1001_10^5 + 3/8*c_1001_10^4 - 9/128*c_1001_10^3 + 17/256*c_1001_10^2 - 3/32*c_1001_10 + 9/256 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.340 Total time: 0.540 seconds, Total memory usage: 32.09MB