Magma V2.19-8 Tue Aug 20 2013 23:42:27 on localhost [Seed = 223045728] Type ? for help. Type -D to quit. Loading file "L13n3149__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n3149 geometric_solution 10.70406112 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 2 0132 0132 0132 0213 1 0 0 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 1 -1 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 0.599086478186 1.041611364048 0 4 6 5 0132 0132 0132 0132 1 0 0 0 0 1 0 -1 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 4 0 -4 -1 0 1 0 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.348270614420 0.598653807333 7 0 8 0 0132 0132 0132 0213 1 0 0 0 0 0 0 0 0 0 1 -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 0 -1 1 0 0 0 0 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.599086478186 1.041611364048 4 7 7 0 0213 0321 0213 0132 1 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 1 0 -1 -2 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 0.585079606999 0.721408030831 3 1 9 5 0213 0132 0132 2310 1 0 0 0 0 -1 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 0 0 0 0 -4 5 -1 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.348270614420 0.598653807333 4 6 1 9 3201 3201 0132 0132 1 0 1 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 -4 4 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 0.485035687949 1.205219458439 10 8 5 1 0132 3120 2310 0132 1 0 0 1 0 0 0 0 -1 0 0 1 0 1 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 0 -1 0 -2 0 2 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.682534357652 0.877104281449 2 3 10 3 0132 0213 0321 0321 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 -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 0.599086478186 1.041611364048 9 6 10 2 0213 3120 2310 0132 1 0 0 1 0 1 -1 0 1 0 0 -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 4 -5 1 -1 0 0 1 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.346471975642 0.486599677138 8 10 5 4 0213 2310 0132 0132 1 0 0 1 0 1 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 0 0 0 0 5 0 -5 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 0.682534357652 0.877104281449 6 8 7 9 0132 3201 0321 3201 1 0 1 0 0 0 0 0 1 0 0 -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 -1 1 -1 0 0 1 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.984409638345 0.732965373078 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0011_9']), 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0101_6']), 'c_1001_7' : negation(d['c_0011_9']), 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : negation(d['c_0011_8']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_9']), 'c_1001_2' : d['c_0011_10'], 'c_1001_9' : negation(d['c_1001_6']), 'c_1001_8' : negation(d['c_1001_6']), 'c_1010_10' : d['c_1001_6'], '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_1'], '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' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0011_5'], 'c_1100_8' : d['c_0011_10'], 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_0011_5'], 'c_1100_7' : negation(d['c_0011_9']), 'c_1100_6' : d['c_0011_5'], 'c_1100_1' : d['c_0011_5'], 'c_1100_0' : d['c_1001_0'], 'c_1100_3' : d['c_1001_0'], 'c_1100_2' : d['c_0011_10'], 'c_1100_10' : negation(d['c_0011_9']), 'c_1010_7' : d['c_1001_0'], 'c_1010_6' : negation(d['c_0011_8']), 'c_1010_5' : negation(d['c_1001_6']), 'c_1010_4' : negation(d['c_0011_8']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_6']), 'c_1010_0' : d['c_0011_10'], 'c_1010_9' : negation(d['c_0101_6']), 'c_1010_8' : d['c_0011_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' : 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_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0101_6'], 'c_0101_7' : negation(d['c_0101_1']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_8'], 'c_0101_8' : d['c_0011_9'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_3'], 'c_0110_8' : negation(d['c_0011_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' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0011_8'], 'c_0110_4' : negation(d['c_0101_0']), 'c_0110_7' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0101_1']})} 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_5, c_0011_8, c_0011_9, c_0101_0, c_0101_1, c_0101_6, c_1001_0, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 1/2*c_1001_6 + 3/2, c_0011_0 - 1, c_0011_10 + 1/2*c_0101_6*c_1001_6 + 1/2*c_0101_6 + 1/2*c_1001_6 - 1/2, c_0011_3 + 1/6*c_0101_6*c_1001_6 + 1/2*c_0101_6 + 1/6*c_1001_6 - 1/2, c_0011_5 - 1/2*c_1001_6 - 1/2, c_0011_8 + c_0101_6 + 1/2*c_1001_6 + 3/2, c_0011_9 + 1/2*c_0101_6*c_1001_6 + 1/2*c_0101_6 + 1/2*c_1001_6 + 1/2, c_0101_0 + 1/6*c_1001_6 - 1/2, c_0101_1 + 1/6*c_0101_6*c_1001_6 + 1/2*c_0101_6 + 1/3*c_1001_6 + 1, c_0101_6^2 + 1/2*c_0101_6*c_1001_6 + 3/2*c_0101_6 + c_1001_6, c_1001_0 - 1, c_1001_6^2 + 3 ], 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_5, c_0011_8, c_0011_9, c_0101_0, c_0101_1, c_0101_6, c_1001_0, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 15104/773*c_1001_6^5 - 368/773*c_1001_6^4 - 528/773*c_1001_6^3 + 20186/773*c_1001_6^2 + 7264/773*c_1001_6 - 25571/773, c_0011_0 - 1, c_0011_10 - 1036/773*c_1001_6^5 + 284/773*c_1001_6^4 - 563/1546*c_1001_6^3 - 1177/773*c_1001_6^2 + 242/773*c_1001_6 + 1409/773, c_0011_3 - 4138/2319*c_1001_6^5 + 430/2319*c_1001_6^4 - 725/9276*c_1001_6^3 - 4640/2319*c_1001_6^2 - 219/773*c_1001_6 + 6080/2319, c_0011_5 + 224/773*c_1001_6^5 + 440/773*c_1001_6^4 + 228/773*c_1001_6^3 + 735/773*c_1001_6^2 + 658/773*c_1001_6 - 430/773, c_0011_8 - 200/773*c_1001_6^5 - 172/773*c_1001_6^4 + 459/773*c_1001_6^3 - 153/1546*c_1001_6^2 - 201/773*c_1001_6 + 660/773, c_0011_9 + 1036/773*c_1001_6^5 - 284/773*c_1001_6^4 + 563/1546*c_1001_6^3 + 1177/773*c_1001_6^2 - 242/773*c_1001_6 - 1409/773, c_0101_0 + 7058/2319*c_1001_6^5 + 226/2319*c_1001_6^4 + 1129/9276*c_1001_6^3 + 8617/2319*c_1001_6^2 + 1661/773*c_1001_6 - 9532/2319, c_0101_1 + 4138/2319*c_1001_6^5 - 430/2319*c_1001_6^4 + 725/9276*c_1001_6^3 + 4640/2319*c_1001_6^2 + 219/773*c_1001_6 - 6080/2319, c_0101_6 - 200/773*c_1001_6^5 - 172/773*c_1001_6^4 + 459/773*c_1001_6^3 - 153/1546*c_1001_6^2 - 201/773*c_1001_6 + 660/773, c_1001_0 - 1, c_1001_6^6 - c_1001_6^5 + 1/8*c_1001_6^4 + 5/4*c_1001_6^3 - 3/4*c_1001_6^2 - 2*c_1001_6 + 3/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB