Magma V2.19-8 Tue Aug 20 2013 23:52:51 on localhost [Seed = 121728200] Type ? for help. Type -D to quit. Loading file "L13n4371__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4371 geometric_solution 10.18307160 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 2 3 0132 0132 2031 0132 0 0 1 0 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 -1 -4 5 0 0 0 0 0 1 0 -1 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.795428435248 0.637449494282 0 3 5 4 0132 2103 0132 0132 1 0 0 1 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 0 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.555865286828 0.325808811655 6 0 7 0 0132 0132 0132 1302 0 0 0 1 0 0 0 0 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 1 -1 0 0 0 -4 4 0 -4 0 4 -4 -1 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.456437969521 1.422270750067 8 1 0 9 0132 2103 0132 0132 0 0 1 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 0 0 0 0 0 0 0 0 0 4 -5 1 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 0.456437969521 1.422270750067 7 8 1 10 2031 0321 0132 0132 1 0 1 0 0 -1 0 1 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 -5 0 5 1 0 0 -1 0 1 0 -1 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.270719039631 0.611516694060 7 8 11 1 0132 3120 0132 0132 1 0 1 1 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 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.529880198817 1.033931632161 2 7 9 11 0132 3120 2031 3120 1 0 1 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 -1 1 4 0 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.450866579499 0.367408392766 5 6 4 2 0132 3120 1302 0132 0 0 1 1 0 0 0 0 0 0 -1 1 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 0 0 -4 4 5 0 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.232371836212 0.441545096218 3 5 9 4 0132 3120 3012 0321 1 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 0 0 0 -5 0 5 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 -0.287844185509 0.841570589901 10 8 3 6 0132 1230 0132 1302 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 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 0.773199553809 0.613317261083 9 11 4 11 0132 3120 0132 0132 1 0 1 1 0 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 4 -5 1 0 0 1 -1 0 4 0 -4 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.793842953382 0.629692016117 6 10 10 5 3120 3120 0132 0132 1 0 1 1 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 1 -1 0 -1 0 1 0 4 -4 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.013583017612 1.690898657968 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_2'], 'c_1001_11' : negation(d['c_0011_11']), 'c_1001_10' : d['c_0011_11'], 'c_1001_5' : negation(d['c_0011_10']), 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_0101_10'], 'c_1001_6' : negation(d['c_0101_10']), 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : negation(d['c_0101_6']), 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_1001_4']), 'c_1001_8' : d['c_0011_10'], 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : negation(d['c_0011_11']), 's_3_11' : 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_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : d['c_0101_0'], 'c_1100_6' : negation(d['c_0101_11']), 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_0101_6'], 'c_1100_3' : d['c_0101_6'], 'c_1100_2' : d['c_0101_0'], 's_0_10' : d['1'], 'c_1100_11' : d['c_1100_1'], 'c_1100_10' : d['c_1100_1'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_0']), 'c_1010_6' : negation(d['c_0011_11']), 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : d['c_0011_11'], 'c_1010_3' : negation(d['c_1001_4']), 'c_1010_2' : negation(d['c_0101_6']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : d['c_0101_11'], 'c_1010_8' : d['c_0011_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'], '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_10']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_11'], 'c_0011_6' : d['c_0011_0'], '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_2'], 'c_0110_10' : d['c_0101_11'], 'c_0110_0' : negation(d['c_0011_4']), 'c_0101_7' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_4']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : d['c_0101_11'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : negation(d['c_0011_4']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0101_6'], 'c_0110_3' : d['c_0101_11'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_2'], 'c_1100_8' : d['c_1001_4']})} 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_4, c_0101_0, c_0101_10, c_0101_11, c_0101_2, c_0101_6, c_1001_4, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 165516583/12825010800*c_1100_1^7 + 7798279/267187725*c_1100_1^6 + 4663289/17962200*c_1100_1^5 + 173778317/754412400*c_1100_1^4 + 14556411899/12825010800*c_1100_1^3 - 5533503257/12825010800*c_1100_1^2 + 1196917831/2565002160*c_1100_1 + 970267931/513000432, c_0011_0 - 1, c_0011_10 - 638/36981*c_1100_1^7 + 129/4109*c_1100_1^6 - 236/1761*c_1100_1^5 + 20821/36981*c_1100_1^4 + 8483/36981*c_1100_1^3 + 13393/36981*c_1100_1^2 + 18173/36981*c_1100_1 + 74657/36981, c_0011_11 + 239/8805*c_1100_1^7 - 434/8805*c_1100_1^6 + 2473/8805*c_1100_1^5 - 2031/2935*c_1100_1^4 + 1489/2935*c_1100_1^3 + 1688/2935*c_1100_1^2 - 225/587*c_1100_1 - 191/1761, c_0011_3 - 379/36981*c_1100_1^7 + 199/4109*c_1100_1^6 - 223/1761*c_1100_1^5 + 21353/36981*c_1100_1^4 - 15422/36981*c_1100_1^3 + 19259/36981*c_1100_1^2 - 22070/36981*c_1100_1 + 19483/36981, c_0011_4 + 4033/61635*c_1100_1^7 - 1343/61635*c_1100_1^6 + 6058/8805*c_1100_1^5 - 41611/61635*c_1100_1^4 + 28099/61635*c_1100_1^3 + 34403/61635*c_1100_1^2 + 1229/12327*c_1100_1 - 2137/4109, c_0101_0 - 1, c_0101_10 - 2092/20545*c_1100_1^7 + 1527/20545*c_1100_1^6 - 3352/2935*c_1100_1^5 + 30209/20545*c_1100_1^4 - 35146/20545*c_1100_1^3 + 4513/20545*c_1100_1^2 - 556/4109*c_1100_1 + 3676/4109, c_0101_11 - 301/26415*c_1100_1^7 - 133/8805*c_1100_1^6 - 899/8805*c_1100_1^5 - 2998/26415*c_1100_1^4 + 9172/26415*c_1100_1^3 - 12481/26415*c_1100_1^2 + 3176/5283*c_1100_1 + 383/5283, c_0101_2 - 4033/61635*c_1100_1^7 + 1343/61635*c_1100_1^6 - 6058/8805*c_1100_1^5 + 41611/61635*c_1100_1^4 - 28099/61635*c_1100_1^3 - 34403/61635*c_1100_1^2 - 1229/12327*c_1100_1 + 2137/4109, c_0101_6 + 131311/6286770*c_1100_1^7 - 29041/1047795*c_1100_1^6 + 1808/8805*c_1100_1^5 - 152521/369810*c_1100_1^4 + 790193/6286770*c_1100_1^3 + 2305741/6286770*c_1100_1^2 - 612893/1257354*c_1100_1 + 555301/1257354, c_1001_4 + 301/26415*c_1100_1^7 + 133/8805*c_1100_1^6 + 899/8805*c_1100_1^5 + 2998/26415*c_1100_1^4 - 9172/26415*c_1100_1^3 + 12481/26415*c_1100_1^2 - 3176/5283*c_1100_1 - 383/5283, c_1100_1^8 - c_1100_1^7 + 12*c_1100_1^6 - 17*c_1100_1^5 + 28*c_1100_1^4 - 4*c_1100_1^3 + 10*c_1100_1^2 + 25 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.460 Total time: 0.660 seconds, Total memory usage: 32.09MB