Magma V2.19-8 Tue Aug 20 2013 23:42:11 on localhost [Seed = 2564750799] Type ? for help. Type -D to quit. Loading file "L13a4980__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13a4980 geometric_solution 8.58324435 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 1 2 3 0132 2103 0132 0132 1 0 1 1 0 -1 1 0 0 0 1 -1 -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 -2 3 -1 -1 0 5 -4 -3 0 0 3 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.154519931657 0.894150785208 0 0 2 4 0132 2103 2310 0132 1 0 1 1 0 0 0 0 0 0 0 0 -1 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 1 0 -1 0 -2 2 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.154519931657 0.894150785208 3 1 4 0 0132 3201 3201 0132 1 0 1 0 0 1 0 -1 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 3 0 -3 0 0 5 -5 -2 0 0 2 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.084669080724 1.511973333973 2 5 0 6 0132 0132 0132 0132 1 0 0 1 0 0 0 0 0 0 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 -1 1 0 0 0 4 -4 1 -1 0 0 2 1 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.396929398310 0.663823283939 2 7 1 6 2310 0132 0132 2310 1 0 0 1 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 -5 1 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.396929398310 0.663823283939 6 3 7 8 1023 0132 1023 0132 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 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.110798965408 0.593309974278 4 5 3 7 3201 1023 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 -4 0 4 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 1.451068584408 0.764797402128 6 4 5 8 3201 0132 1023 2310 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 0 0 0 -1 0 1 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 0.110798965408 0.593309974278 7 9 5 9 3201 0132 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.958216934331 3.400309038586 10 8 10 8 0132 0132 1023 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.427814853718 0.263263849170 9 10 9 10 0132 1302 1023 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.558194251804 0.053388067808 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0101_9'], 'c_1001_5' : d['c_0101_5'], 'c_1001_4' : negation(d['c_0110_8']), 'c_1001_7' : d['c_0101_5'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0110_8'], 'c_1001_2' : negation(d['c_0101_0']), 'c_1001_9' : d['c_0101_10'], 'c_1001_8' : d['c_0110_8'], 'c_1010_10' : d['c_0011_10'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], '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_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_1100_9' : d['c_0011_10'], 'c_1100_8' : negation(d['c_0011_10']), 'c_1100_5' : negation(d['c_0011_10']), 'c_1100_4' : d['c_0011_2'], 'c_1100_7' : d['c_0011_10'], 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_4']), 'c_1100_10' : negation(d['c_0011_10']), 'c_1010_7' : negation(d['c_0110_8']), 'c_1010_6' : d['c_0101_8'], 'c_1010_5' : d['c_0110_8'], 'c_1010_4' : d['c_0101_5'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : negation(d['c_0011_0']), 'c_1010_1' : negation(d['c_0110_8']), 'c_1010_0' : d['c_0110_8'], 'c_1010_9' : d['c_0110_8'], 'c_1010_8' : d['c_0101_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' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_10']), 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), 'c_0011_6' : d['c_0011_2'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_0110_10' : d['c_0101_9'], 'c_0101_7' : d['c_0101_5'], 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_0'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_8'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_7' : negation(d['c_0101_8']), 'c_0110_6' : negation(d['c_0101_5'])})} 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_2, c_0011_4, c_0101_0, c_0101_10, c_0101_2, c_0101_5, c_0101_8, c_0101_9, c_0110_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 11748403123/71690496*c_0110_8^12 + 657922826/280041*c_0110_8^11 + 88163956361/5974208*c_0110_8^10 + 1926367508693/35845248*c_0110_8^9 + 1139672280689/8961312*c_0110_8^8 + 7498543141685/35845248*c_0110_8^7 + 315797566691/1257728*c_0110_8^6 + 1350980299315/5974208*c_0110_8^5 + 10815212358959/71690496*c_0110_8^4 + 2489374899781/35845248*c_0110_8^3 + 448078828251/23896832*c_0110_8^2 + 3013876109/8961312*c_0110_8 - 148126927379/71690496, c_0011_0 - 1, c_0011_10 - c_0110_8^6 - 6*c_0110_8^5 - 13*c_0110_8^4 - 14*c_0110_8^3 - 10*c_0110_8^2 - 4*c_0110_8 - 1, c_0011_2 + c_0110_8 + 1, c_0011_4 - c_0110_8 - 1, c_0101_0 - 1, c_0101_10 + c_0110_8^8 + 8*c_0110_8^7 + 25*c_0110_8^6 + 40*c_0110_8^5 + 39*c_0110_8^4 + 28*c_0110_8^3 + 14*c_0110_8^2 + 4*c_0110_8 + 1, c_0101_2 + c_0110_8^2 + 2*c_0110_8, c_0101_5 + c_0110_8^3 + 3*c_0110_8^2 + 2*c_0110_8 + 1, c_0101_8 - c_0110_8^4 - 4*c_0110_8^3 - 5*c_0110_8^2 - 4*c_0110_8 - 1, c_0101_9 - c_0110_8^12 - 14*c_0110_8^11 - 86*c_0110_8^10 - 309*c_0110_8^9 - 736*c_0110_8^8 - 1257*c_0110_8^7 - 1621*c_0110_8^6 - 1615*c_0110_8^5 - 1243*c_0110_8^4 - 733*c_0110_8^3 - 321*c_0110_8^2 - 94*c_0110_8 - 17, c_0110_8^13 + 15*c_0110_8^12 + 100*c_0110_8^11 + 394*c_0110_8^10 + 1034*c_0110_8^9 + 1942*c_0110_8^8 + 2747*c_0110_8^7 + 3027*c_0110_8^6 + 2633*c_0110_8^5 + 1801*c_0110_8^4 + 957*c_0110_8^3 + 381*c_0110_8^2 + 103*c_0110_8 + 17 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.260 seconds, Total memory usage: 32.09MB