Magma V2.19-8 Tue Aug 20 2013 23:42:05 on localhost [Seed = 1242312448] Type ? for help. Type -D to quit. Loading file "L12n763__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n763 geometric_solution 10.86799353 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 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 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 0.709629765994 0.778689136512 0 5 6 5 0132 0132 0132 2103 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 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 0.685240229431 0.912526523426 4 0 7 3 1302 0132 0132 1302 1 1 1 1 0 0 -1 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 -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 0.316917005146 0.864237513951 8 7 2 0 0132 0132 2031 0132 1 1 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 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 0.360654262831 0.701565244111 9 2 0 7 0132 2031 0132 3012 1 1 1 1 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 0 0 1 -1 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 0.912881490492 0.872701312322 7 1 10 1 0213 0132 0132 2103 1 1 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 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.685240229431 0.912526523426 9 10 9 1 3120 2103 2310 0132 1 1 1 0 0 0 0 0 1 0 -1 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 0 0 0 0 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.473806424111 0.700725926225 5 3 4 2 0213 0132 1230 0132 1 1 1 1 0 0 -1 1 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 1 0 -1 0 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.113259002742 1.134561195810 3 10 10 9 0132 3012 3120 0132 0 1 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 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0.337805406306 0.979338599890 4 6 8 6 0132 3201 0132 3120 0 1 1 1 0 1 0 -1 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 -1 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 0.473806424111 0.700725926225 8 6 8 5 1230 2103 3120 0132 1 1 1 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 -1 1 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.473806424111 0.700725926225 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_10' : d['c_0011_10'], 'c_1001_5' : negation(d['c_1001_1']), 'c_1001_4' : negation(d['c_0110_2']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0011_10'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0110_2']), 'c_1001_2' : negation(d['c_0110_2']), 'c_1001_9' : negation(d['c_0101_10']), 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_10' : negation(d['c_1001_1']), 's_0_10' : d['1'], 's_3_10' : negation(d['1']), 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], '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' : d['1'], 's_2_7' : d['1'], 's_2_10' : negation(d['1']), 's_0_8' : negation(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' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0101_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_0']), 'c_1100_4' : negation(d['c_1001_0']), 'c_1100_7' : d['c_0101_3'], 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(d['c_1001_0']), 'c_1100_3' : negation(d['c_1001_0']), 'c_1100_2' : d['c_0101_3'], 'c_1100_10' : negation(d['c_0101_0']), 'c_1010_7' : negation(d['c_0110_2']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_1']), 'c_1010_0' : negation(d['c_0110_2']), 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : negation(d['c_0101_10']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : negation(d['c_0011_3']), 'c_0101_7' : d['c_0011_0'], 'c_0101_6' : d['c_0101_10'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_4']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_3'], 'c_0101_8' : d['c_0101_0'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_3'], '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_0110_2'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0101_3'], 'c_0110_7' : negation(d['c_0011_4']), 'c_1100_8' : negation(d['c_0101_10'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0110_2, c_1001_0, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 38153/321*c_1001_1^10 + 406517/1926*c_1001_1^9 - 499769/642*c_1001_1^8 - 3530353/321*c_1001_1^7 + 19522564/963*c_1001_1^6 - 12570871/642*c_1001_1^5 + 5010645/214*c_1001_1^4 - 5000619/214*c_1001_1^3 + 1381197/107*c_1001_1^2 - 3395983/963*c_1001_1 + 727013/1926, c_0011_0 - 1, c_0011_10 - 1, c_0011_3 + 72603/107*c_1001_1^10 - 114713/107*c_1001_1^9 + 459801/107*c_1001_1^8 + 6800240/107*c_1001_1^7 - 11012483/107*c_1001_1^6 + 10452910/107*c_1001_1^5 - 13010389/107*c_1001_1^4 + 12374703/107*c_1001_1^3 - 6387615/107*c_1001_1^2 + 1649498/107*c_1001_1 - 170592/107, c_0011_4 + 153512/321*c_1001_1^10 - 244991/321*c_1001_1^9 + 324951/107*c_1001_1^8 + 14364344/321*c_1001_1^7 - 23520518/321*c_1001_1^6 + 7451840/107*c_1001_1^5 - 9243451/107*c_1001_1^4 + 8830168/107*c_1001_1^3 - 13758011/321*c_1001_1^2 + 3572755/321*c_1001_1 - 371321/321, c_0101_0 + 153512/321*c_1001_1^10 - 244991/321*c_1001_1^9 + 324951/107*c_1001_1^8 + 14364344/321*c_1001_1^7 - 23520518/321*c_1001_1^6 + 7451840/107*c_1001_1^5 - 9243451/107*c_1001_1^4 + 8830168/107*c_1001_1^3 - 13758011/321*c_1001_1^2 + 3572755/321*c_1001_1 - 371321/321, c_0101_1 + 72603/107*c_1001_1^10 - 114713/107*c_1001_1^9 + 459801/107*c_1001_1^8 + 6800240/107*c_1001_1^7 - 11012483/107*c_1001_1^6 + 10452910/107*c_1001_1^5 - 13010389/107*c_1001_1^4 + 12374703/107*c_1001_1^3 - 6387615/107*c_1001_1^2 + 1649498/107*c_1001_1 - 170592/107, c_0101_10 + 140455/321*c_1001_1^10 - 216613/321*c_1001_1^9 + 294679/107*c_1001_1^8 + 13185955/321*c_1001_1^7 - 20790529/321*c_1001_1^6 + 6565903/107*c_1001_1^5 - 8235330/107*c_1001_1^4 + 7750372/107*c_1001_1^3 - 11839195/321*c_1001_1^2 + 3022466/321*c_1001_1 - 309721/321, c_0101_3 + 1, c_0110_2 + 64357/321*c_1001_1^10 - 108703/321*c_1001_1^9 + 138629/107*c_1001_1^8 + 5986795/321*c_1001_1^7 - 10435453/321*c_1001_1^6 + 3354566/107*c_1001_1^5 - 4073689/107*c_1001_1^4 + 3983131/107*c_1001_1^3 - 6466081/321*c_1001_1^2 + 1753958/321*c_1001_1 - 190426/321, c_1001_0 - 53044/321*c_1001_1^10 + 76861/321*c_1001_1^9 - 109331/107*c_1001_1^8 - 5008867/321*c_1001_1^7 + 7377199/321*c_1001_1^6 - 2291905/107*c_1001_1^5 + 2944199/107*c_1001_1^4 - 2695564/107*c_1001_1^3 + 3896545/321*c_1001_1^2 - 925127/321*c_1001_1 + 86077/321, c_1001_1^11 - 2*c_1001_1^10 + 7*c_1001_1^9 + 91*c_1001_1^8 - 191*c_1001_1^7 + 208*c_1001_1^6 - 240*c_1001_1^5 + 246*c_1001_1^4 - 160*c_1001_1^3 + 60*c_1001_1^2 - 12*c_1001_1 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB