Magma V2.19-8 Tue Aug 20 2013 16:15:50 on localhost [Seed = 1326371684] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0066 geometric_solution 3.62303442 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 2 0132 0132 2310 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -0.467214780052 0.566680516724 0 0 3 3 0132 3201 2310 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.241035182677 0.049803524329 0 0 5 4 3201 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.089906722018 7.531580878506 3 1 1 3 3201 3201 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2.005224162498 0.204998040283 5 5 2 6 1023 2031 0132 0132 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 1 -1 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 -0.002029818920 0.510141749354 4 4 6 2 1302 1023 0132 0132 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 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 -0.002029818920 0.510141749354 6 6 4 5 1302 2031 0132 0132 0 0 0 0 0 0 0 0 1 0 0 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.002029818920 0.510141749354 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { '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_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_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_0_6' : 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_6' : d['c_1100_2'], 'c_1100_5' : d['c_1100_2'], 'c_1100_4' : d['c_1100_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_1100_2'], 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], '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_1001_5' : d['c_0011_6'], 'c_1001_4' : d['c_0101_1'], 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0011_6']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_0']), 'c_0110_2' : d['c_0011_6'], 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_6' : negation(d['c_0011_4']), 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0011_6'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_1100_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 2969921114/54286889*c_1100_2^14 + 24970496124/54286889*c_1100_2^13 + 67878999509/54286889*c_1100_2^12 - 298114735402/54286889*c_1100_2^11 - 475383523380/54286889*c_1100_2^10 + 1173609662317/54286889*c_1100_2^9 + 1276051496114/54286889*c_1100_2^8 - 1875604241735/54286889*c_1100_2^7 - 1390015633559/54286889*c_1100_2^6 + 1348999643681/54286889*c_1100_2^5 + 591473954576/54286889*c_1100_2^4 - 414400353963/54286889*c_1100_2^3 - 71878240263/54286889*c_1100_2^2 + 35281886918/54286889*c_1100_2 + 522594046/54286889, c_0011_0 - 1, c_0011_3 + 104752435/54286889*c_1100_2^14 - 885830767/54286889*c_1100_2^13 - 2369061232/54286889*c_1100_2^12 + 10775748508/54286889*c_1100_2^11 + 16690429534/54286889*c_1100_2^10 - 43815927121/54286889*c_1100_2^9 - 46110296112/54286889*c_1100_2^8 + 73831046565/54286889*c_1100_2^7 + 54108889807/54286889*c_1100_2^6 - 56420635160/54286889*c_1100_2^5 - 27134068349/54286889*c_1100_2^4 + 18195427821/54286889*c_1100_2^3 + 5093352030/54286889*c_1100_2^2 - 1656353466/54286889*c_1100_2 - 245419650/54286889, c_0011_4 + 120887839/54286889*c_1100_2^14 - 1020504996/54286889*c_1100_2^13 - 2734938947/54286889*c_1100_2^12 + 12282408296/54286889*c_1100_2^11 + 19087077691/54286889*c_1100_2^10 - 49033627262/54286889*c_1100_2^9 - 51347942572/54286889*c_1100_2^8 + 80185531324/54286889*c_1100_2^7 + 56673528275/54286889*c_1100_2^6 - 59201342736/54286889*c_1100_2^5 - 25095761115/54286889*c_1100_2^4 + 18487009826/54286889*c_1100_2^3 + 3636261697/54286889*c_1100_2^2 - 1592551663/54286889*c_1100_2 - 136485728/54286889, c_0011_6 - 11072533/54286889*c_1100_2^14 + 93453362/54286889*c_1100_2^13 + 254987678/54286889*c_1100_2^12 - 1162444821/54286889*c_1100_2^11 - 1835101396/54286889*c_1100_2^10 + 4939803616/54286889*c_1100_2^9 + 5227380199/54286889*c_1100_2^8 - 9075382373/54286889*c_1100_2^7 - 6335334159/54286889*c_1100_2^6 + 7935234679/54286889*c_1100_2^5 + 3218804199/54286889*c_1100_2^4 - 3037265413/54286889*c_1100_2^3 - 651796574/54286889*c_1100_2^2 + 311375495/54286889*c_1100_2 + 86181543/54286889, c_0101_0 - 22753495/54286889*c_1100_2^14 + 190158769/54286889*c_1100_2^13 + 536406817/54286889*c_1100_2^12 - 2314978943/54286889*c_1100_2^11 - 3899432199/54286889*c_1100_2^10 + 9462195681/54286889*c_1100_2^9 + 11144191631/54286889*c_1100_2^8 - 16209305106/54286889*c_1100_2^7 - 13509273595/54286889*c_1100_2^6 + 12671247355/54286889*c_1100_2^5 + 6892708873/54286889*c_1100_2^4 - 3970470171/54286889*c_1100_2^3 - 1226317220/54286889*c_1100_2^2 + 185208804/54286889*c_1100_2 + 45868615/54286889, c_0101_1 + 161236410/54286889*c_1100_2^14 - 1332882367/54286889*c_1100_2^13 - 3885069690/54286889*c_1100_2^12 + 15737248969/54286889*c_1100_2^11 + 28276091095/54286889*c_1100_2^10 - 60901521005/54286889*c_1100_2^9 - 79452727026/54286889*c_1100_2^8 + 94985306928/54286889*c_1100_2^7 + 92588548870/54286889*c_1100_2^6 - 66193084500/54286889*c_1100_2^5 - 44733589609/54286889*c_1100_2^4 + 19395652123/54286889*c_1100_2^3 + 7600598325/54286889*c_1100_2^2 - 1478562150/54286889*c_1100_2 - 264436020/54286889, c_1100_2^15 - 9*c_1100_2^14 - 18*c_1100_2^13 + 115*c_1100_2^12 + 103*c_1100_2^11 - 503*c_1100_2^10 - 210*c_1100_2^9 + 937*c_1100_2^8 + 126*c_1100_2^7 - 809*c_1100_2^6 + 42*c_1100_2^5 + 307*c_1100_2^4 - 49*c_1100_2^3 - 39*c_1100_2^2 + 6*c_1100_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB