Magma V2.19-8 Wed Aug 21 2013 00:56:24 on localhost [Seed = 4273530063] Type ? for help. Type -D to quit. Loading file "L13n2122__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n2122 geometric_solution 12.23951818 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 0213 1 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 -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 0.301549154678 0.723132238604 0 4 6 5 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.473308156523 0.979453449745 7 0 8 0 0132 0132 0132 0213 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 -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 0.301549154678 0.723132238604 5 9 9 0 3201 0132 0321 0132 1 0 0 0 0 0 0 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 -1 0 1 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 0 0.602689309223 1.090146746391 10 1 10 7 0132 0132 2310 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.270014425202 0.899714334373 8 7 1 3 0132 2310 0132 2310 0 0 0 0 0 0 0 0 0 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 -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 0.187983362721 0.487607987654 11 11 12 1 0132 1302 0132 0132 0 0 0 1 0 0 0 0 0 0 0 0 1 -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 -5 6 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.684349614539 1.006452291647 2 4 11 5 0132 2310 0321 3201 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 1 0 0 -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 0.473308156523 0.979453449745 5 12 12 2 0132 2031 2310 0132 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 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 0.602689309223 1.090146746391 12 3 3 11 2310 0132 0321 2031 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 0 0 0 0 0 0 1 0 -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 0.602689309223 1.090146746391 4 4 10 10 0132 3201 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.509792400478 0.251137486481 6 9 7 6 0132 1302 0321 2031 0 0 1 0 0 -1 0 1 0 0 0 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 0 0 0 0 0 0 0 5 1 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.283709929713 0.904610043499 8 8 9 6 1302 3201 3201 0132 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 0 0 0 0 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 0.611582749619 0.702570620161 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_5']), 'c_1001_10' : negation(d['c_0101_4']), 'c_1001_12' : d['c_0101_3'], 'c_1001_5' : d['c_0101_10'], 'c_1001_4' : d['c_0101_10'], 'c_1001_7' : negation(d['c_1001_1']), 'c_1001_6' : d['c_0101_6'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_11'], 'c_1001_2' : d['c_0011_12'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_0101_6']), 'c_1010_12' : d['c_0101_6'], 'c_1010_11' : negation(d['c_0011_11']), 'c_1010_10' : negation(d['c_0101_10']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0011_5'], 'c_0101_11' : d['c_0101_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_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' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0011_12'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_0']), 'c_1100_7' : negation(d['c_0011_5']), 'c_1100_6' : d['c_0011_3'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_1001_0'], 'c_1100_3' : d['c_1001_0'], 'c_1100_2' : d['c_0011_12'], 's_3_11' : d['1'], 'c_1100_9' : d['c_0011_11'], 'c_1100_11' : negation(d['c_1001_1']), 'c_1100_10' : d['c_0101_10'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0101_10']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_10'], 'c_1010_0' : d['c_0011_12'], 'c_1010_9' : d['c_0011_11'], 'c_1010_8' : d['c_0011_12'], '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'], 'c_1100_12' : d['c_0011_3'], '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_3']), 'c_0011_8' : negation(d['c_0011_5']), '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_11']), '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_6'], 'c_0110_10' : d['c_0101_4'], 'c_0110_12' : 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_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_3']), 'c_0101_8' : negation(d['c_0101_3']), 'c_0011_10' : negation(d['c_0011_0']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_5']), 'c_0110_8' : d['c_0101_0'], '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' : negation(d['c_0101_3']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_0'], 'c_0110_6' : d['c_0101_1'], '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_11, c_0011_12, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_4, c_0101_6, c_1001_0, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 206463052/6725897*c_0101_6*c_1001_1^6 - 37404359/363562*c_0101_6*c_1001_1^5 - 1352900843/6725897*c_0101_6*c_1001_1^4 - 1504613215/6725897*c_0101_6*c_1001_1^3 - 55238475/363562*c_0101_6*c_1001_1^2 - 395100135/6725897*c_0101_6*c_1001_1 - 154489569/13451794*c_0101_6 - 336090660/6725897*c_1001_1^6 - 57036493/363562*c_1001_1^5 - 3047622115/13451794*c_1001_1^4 - 1189677143/6725897*c_1001_1^3 - 30048267/363562*c_1001_1^2 - 279042737/13451794*c_1001_1 - 17362447/13451794, c_0011_0 - 1, c_0011_11 + 8*c_0101_6*c_1001_1^6 + 57*c_0101_6*c_1001_1^5 + 143*c_0101_6*c_1001_1^4 + 179*c_0101_6*c_1001_1^3 + 128*c_0101_6*c_1001_1^2 + 51*c_0101_6*c_1001_1 + 11*c_0101_6 - 1, c_0011_12 + 8*c_0101_6*c_1001_1^6 + 33*c_0101_6*c_1001_1^5 + 60*c_0101_6*c_1001_1^4 + 65*c_0101_6*c_1001_1^3 + 45*c_0101_6*c_1001_1^2 + 21*c_0101_6*c_1001_1 + 6*c_0101_6 + 8*c_1001_1^6 + 57*c_1001_1^5 + 143*c_1001_1^4 + 179*c_1001_1^3 + 128*c_1001_1^2 + 51*c_1001_1 + 11, c_0011_3 + 80/11*c_0101_6*c_1001_1^6 + 218/11*c_0101_6*c_1001_1^5 + 14*c_0101_6*c_1001_1^4 - 76/11*c_0101_6*c_1001_1^3 - 174/11*c_0101_6*c_1001_1^2 - 70/11*c_0101_6*c_1001_1 - 7/11*c_0101_6 + 584/11*c_1001_1^6 + 2313/11*c_1001_1^5 + 352*c_1001_1^4 + 3667/11*c_1001_1^3 + 2054/11*c_1001_1^2 + 699/11*c_1001_1 + 115/11, c_0011_5 - 80/11*c_0101_6*c_1001_1^6 - 218/11*c_0101_6*c_1001_1^5 - 14*c_0101_6*c_1001_1^4 + 76/11*c_0101_6*c_1001_1^3 + 174/11*c_0101_6*c_1001_1^2 + 70/11*c_0101_6*c_1001_1 + 7/11*c_0101_6 + 568/11*c_1001_1^6 + 1671/11*c_1001_1^5 + 160*c_1001_1^4 + 721/11*c_1001_1^3 - 230/11*c_1001_1^2 - 255/11*c_1001_1 - 119/11, c_0101_0 + 56/11*c_0101_6*c_1001_1^6 + 311/11*c_0101_6*c_1001_1^5 + 58*c_0101_6*c_1001_1^4 + 609/11*c_0101_6*c_1001_1^3 + 239/11*c_0101_6*c_1001_1^2 - 27/11*c_0101_6*c_1001_1 - 28/11*c_0101_6 - 936/11*c_1001_1^6 - 3853/11*c_1001_1^5 - 609*c_1001_1^4 - 6549/11*c_1001_1^3 - 3792/11*c_1001_1^2 - 1315/11*c_1001_1 - 225/11, c_0101_1 - 80/11*c_1001_1^6 - 218/11*c_1001_1^5 - 14*c_1001_1^4 + 76/11*c_1001_1^3 + 174/11*c_1001_1^2 + 70/11*c_1001_1 + 18/11, c_0101_10 - 32*c_1001_1^6 - 140*c_1001_1^5 - 257*c_1001_1^4 - 262*c_1001_1^3 - 158*c_1001_1^2 - 56*c_1001_1 - 10, c_0101_3 + 568/11*c_1001_1^6 + 1671/11*c_1001_1^5 + 160*c_1001_1^4 + 721/11*c_1001_1^3 - 230/11*c_1001_1^2 - 255/11*c_1001_1 - 119/11, c_0101_4 - 32*c_1001_1^6 - 124*c_1001_1^5 - 207*c_1001_1^4 - 200*c_1001_1^3 - 115*c_1001_1^2 - 40*c_1001_1 - 6, c_0101_6^2 - 48*c_0101_6*c_1001_1^6 - 166*c_0101_6*c_1001_1^5 - 228*c_0101_6*c_1001_1^4 - 166*c_0101_6*c_1001_1^3 - 60*c_0101_6*c_1001_1^2 - 10*c_0101_6*c_1001_1 + 2*c_0101_6 + 2*c_1001_1^2 + c_1001_1, c_1001_0 - 1, c_1001_1^7 + 33/8*c_1001_1^6 + 15/2*c_1001_1^5 + 65/8*c_1001_1^4 + 45/8*c_1001_1^3 + 21/8*c_1001_1^2 + 3/4*c_1001_1 + 1/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.160 Total time: 0.370 seconds, Total memory usage: 32.09MB