Magma V2.19-8 Wed Aug 21 2013 00:54:41 on localhost [Seed = 3347176841] Type ? for help. Type -D to quit. Loading file "L12n544__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n544 geometric_solution 11.44031303 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 1 1 0 1 -1 0 0 0 1 -1 -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 8 -9 1 0 0 8 -8 -8 8 0 0 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.918668809312 0.395028630351 0 5 7 6 0132 0132 0132 0132 0 1 1 1 0 1 0 -1 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 1 -1 0 0 0 0 0 -9 9 0 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.090556650617 0.888899527400 8 0 10 9 0132 0132 0132 0132 1 0 1 1 0 -1 0 1 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 -8 0 8 0 0 0 0 -9 9 0 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.090556650617 0.888899527400 10 7 11 0 0321 1230 0132 0132 1 1 1 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 -9 9 0 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.550937506335 0.449062493665 9 6 0 12 3012 2103 0132 0132 1 1 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 0 0 0 0 0 0 0 0 0 -1 1 -8 0 8 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 0.550937506335 0.449062493665 8 1 9 11 1302 0132 1302 2310 0 1 1 1 0 -1 0 1 0 0 -1 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 -1 0 1 0 0 -8 8 0 8 0 -8 0 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 0.500000000000 10 4 1 11 1302 2103 0132 2031 0 1 1 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 0 0 0 0 1 0 -1 -9 0 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.113430774233 1.113430774233 9 8 3 1 1023 1302 3012 0132 0 1 1 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 -1 0 1 0 0 0 0 -9 9 0 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.550937506335 0.449062493665 2 5 12 7 0132 2031 2310 2031 1 0 1 1 0 0 1 -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 9 -9 0 0 -1 1 -8 0 0 8 9 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 0.500000000000 5 7 2 4 2031 1023 0132 1230 1 0 1 1 0 0 -1 1 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 -8 8 0 0 0 0 -9 9 0 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.550937506335 0.449062493665 3 6 12 2 0321 2031 1302 0132 1 0 1 1 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 0 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.113430774233 1.113430774233 5 6 12 3 3201 1302 1230 0132 1 1 0 1 0 -1 0 1 1 0 0 -1 -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 -9 0 9 8 0 0 -8 -1 1 0 0 -8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.000000000000 1.000000000000 10 8 4 11 2031 3201 0132 3012 1 1 1 0 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 9 -1 -8 0 0 0 0 9 -9 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.000000000000 1.000000000000 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0110_12']), 'c_1001_10' : d['c_0110_12'], 'c_1001_12' : negation(d['c_0011_11']), 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : d['c_0011_6'], 'c_1001_7' : negation(d['c_0011_3']), 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : negation(d['c_0011_12']), 'c_1001_0' : d['c_0101_7'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0011_6'], 'c_1001_9' : d['c_0101_7'], 'c_1001_8' : d['c_0101_11'], 'c_1010_12' : negation(d['c_0101_11']), 'c_1010_11' : d['c_1001_3'], 'c_1010_10' : d['c_0011_6'], 's_0_10' : negation(d['1']), 's_3_10' : negation(d['1']), 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_12']), 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : negation(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' : negation(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_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_11'], 'c_1100_4' : d['c_0110_12'], 'c_1100_7' : negation(d['c_1001_3']), 'c_1100_6' : negation(d['c_1001_3']), 'c_1100_1' : negation(d['c_1001_3']), 'c_1100_0' : d['c_0110_12'], 'c_1100_3' : d['c_0110_12'], 'c_1100_2' : d['c_0101_12'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0110_12'], 'c_1100_10' : d['c_0101_12'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_12']), 'c_1010_6' : d['c_0011_11'], 'c_1010_5' : negation(d['c_0011_12']), 'c_1010_4' : negation(d['c_0011_11']), 'c_1010_3' : d['c_0101_7'], 'c_1010_2' : d['c_0101_7'], 'c_1010_1' : d['c_0011_4'], 'c_1010_0' : d['c_0011_6'], 'c_1010_9' : d['c_0101_1'], 'c_1010_8' : d['c_0011_0'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(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_0110_12'], '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' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : d['c_0011_0'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_6'], '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_0011_12'], 'c_0110_10' : negation(d['c_0011_3']), 'c_0110_12' : d['c_0110_12'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_10']), 'c_0101_5' : negation(d['c_0011_0']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_12'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_10']), 'c_0101_9' : d['c_0011_11'], 'c_0101_8' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_4'], 'c_0110_8' : negation(d['c_0011_3']), 'c_0110_1' : negation(d['c_0011_10']), 'c_1100_9' : d['c_0101_12'], 'c_0110_3' : negation(d['c_0011_10']), 'c_0110_2' : d['c_0011_11'], 'c_0110_5' : negation(d['c_0101_11']), 'c_0110_4' : d['c_0101_12'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0110_12'])})} 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_10, c_0011_11, c_0011_12, c_0011_3, c_0011_4, c_0011_6, c_0101_1, c_0101_11, c_0101_12, c_0101_7, c_0110_12, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 29419/46*c_1001_3^7 + 9575/23*c_1001_3^6 - 128035/92*c_1001_3^5 + 50449/46*c_1001_3^4 - 523739/184*c_1001_3^3 + 42395/184*c_1001_3^2 - 56279/184*c_1001_3 + 53605/184, c_0011_0 - 1, c_0011_10 - 143/184*c_1001_3^7 + 75/92*c_1001_3^6 - 583/368*c_1001_3^5 + 301/184*c_1001_3^4 - 2591/736*c_1001_3^3 + 383/736*c_1001_3^2 + 741/736*c_1001_3 + 49/736, c_0011_11 + 123/92*c_1001_3^7 - 51/46*c_1001_3^6 + 643/184*c_1001_3^5 - 293/92*c_1001_3^4 + 2715/368*c_1001_3^3 - 691/368*c_1001_3^2 + 935/368*c_1001_3 - 221/368, c_0011_12 + 1, c_0011_3 + 87/92*c_1001_3^7 - 63/46*c_1001_3^6 + 383/184*c_1001_3^5 - 297/92*c_1001_3^4 + 1687/368*c_1001_3^3 - 1135/368*c_1001_3^2 - 317/368*c_1001_3 - 273/368, c_0011_4 - 93/46*c_1001_3^7 + 15/23*c_1001_3^6 - 365/92*c_1001_3^5 + 97/46*c_1001_3^4 - 1429/184*c_1001_3^3 - 319/184*c_1001_3^2 - 137/184*c_1001_3 + 111/184, c_0011_6 + 143/184*c_1001_3^7 - 75/92*c_1001_3^6 + 583/368*c_1001_3^5 - 301/184*c_1001_3^4 + 2591/736*c_1001_3^3 - 383/736*c_1001_3^2 - 741/736*c_1001_3 - 49/736, c_0101_1 - 7/184*c_1001_3^7 - 33/92*c_1001_3^6 + 113/368*c_1001_3^5 - 103/184*c_1001_3^4 + 761/736*c_1001_3^3 - 1313/736*c_1001_3^2 + 973/736*c_1001_3 - 143/736, c_0101_11 + 343/92*c_1001_3^7 - 131/46*c_1001_3^6 + 1455/184*c_1001_3^5 - 565/92*c_1001_3^4 + 5767/368*c_1001_3^3 - 615/368*c_1001_3^2 - 205/368*c_1001_3 + 199/368, c_0101_12 - 21/92*c_1001_3^7 - 7/46*c_1001_3^6 - 29/184*c_1001_3^5 - 33/92*c_1001_3^4 - 293/368*c_1001_3^3 - 443/368*c_1001_3^2 - 25/368*c_1001_3 + 123/368, c_0101_7 - 7/184*c_1001_3^7 - 33/92*c_1001_3^6 + 113/368*c_1001_3^5 - 103/184*c_1001_3^4 + 761/736*c_1001_3^3 - 1313/736*c_1001_3^2 + 973/736*c_1001_3 - 143/736, c_0110_12 - 21/92*c_1001_3^7 - 7/46*c_1001_3^6 - 29/184*c_1001_3^5 - 33/92*c_1001_3^4 - 293/368*c_1001_3^3 - 443/368*c_1001_3^2 + 343/368*c_1001_3 - 245/368, c_1001_3^8 - c_1001_3^7 + 5/2*c_1001_3^6 - 5/2*c_1001_3^5 + 21/4*c_1001_3^4 - 2*c_1001_3^3 + c_1001_3^2 - 1/2*c_1001_3 + 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.180 Total time: 0.380 seconds, Total memory usage: 32.09MB