Magma V2.19-8 Tue Aug 20 2013 16:16:51 on localhost [Seed = 997894125] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1113 geometric_solution 4.97677029 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 3 0132 0132 1023 0132 0 0 0 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 -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 -0.084947390568 0.678987175344 0 3 3 4 0132 2310 1302 0132 0 0 0 0 0 0 -1 1 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 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 0.312920434342 0.703253991348 2 0 0 2 3201 0132 1023 2310 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 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 1.817002649830 0.550524620998 1 4 0 1 2031 0132 0132 3201 0 0 0 0 0 0 1 -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 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 0 0 0 0 0.312920434342 0.703253991348 5 3 1 5 0132 0132 0132 3201 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 -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 0.651320041861 0.205250357310 4 4 6 6 0132 2310 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.181418621334 1.450084769301 5 6 5 6 2310 1302 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.841775524237 0.567217439922 ==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' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(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' : negation(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' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_6']), 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : negation(d['c_0011_3']), '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' : negation(d['c_0101_0']), 'c_1001_4' : negation(d['c_0110_3']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : d['c_0110_3'], 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : negation(d['c_0101_5']), 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0110_3']), 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : negation(d['c_0110_3']), 'c_1010_0' : d['c_0101_0']})} 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_6, c_0101_0, c_0101_2, c_0101_5, c_0110_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 38 Groebner basis: [ t - 668123075/2258*c_0110_3^18 + 3515228595/1129*c_0110_3^17 - 16695522560/1129*c_0110_3^16 + 41805997296/1129*c_0110_3^15 - 46188437921/1129*c_0110_3^14 - 33407814830/1129*c_0110_3^13 + 385692855673/2258*c_0110_3^12 - 546157003075/2258*c_0110_3^11 + 215652250811/2258*c_0110_3^10 + 205490554793/1129*c_0110_3^9 - 337539058080/1129*c_0110_3^8 + 339180046815/2258*c_0110_3^7 + 72287782852/1129*c_0110_3^6 - 295806022011/2258*c_0110_3^5 + 67696756250/1129*c_0110_3^4 + 16542493491/2258*c_0110_3^3 - 18437258606/1129*c_0110_3^2 + 6230761323/1129*c_0110_3 - 1398914493/2258, c_0011_0 - 1, c_0011_3 - 10955340/1129*c_0101_2*c_0110_3^18 + 230759677/2258*c_0101_2*c_0110_3^17 - 1097052917/2258*c_0101_2*c_0110_3^16 + 2751082483/2258*c_0101_2*c_0110_3^15 - 1525166561/1129*c_0101_2*c_0110_3^14 - 1086514441/1129*c_0101_2*c_0110_3^13 + 12676734083/2258*c_0101_2*c_0110_3^12 - 18013327903/2258*c_0101_2*c_0110_3^11 + 7188998101/2258*c_0101_2*c_0110_3^10 + 6733019692/1129*c_0101_2*c_0110_3^9 - 22266426177/2258*c_0101_2*c_0110_3^8 + 11266901129/2258*c_0101_2*c_0110_3^7 + 2352236924/1129*c_0101_2*c_0110_3^6 - 9759987353/2258*c_0101_2*c_0110_3^5 + 2250770811/1129*c_0101_2*c_0110_3^4 + 264779727/1129*c_0101_2*c_0110_3^3 - 609897137/1129*c_0101_2*c_0110_3^2 + 414915543/2258*c_0101_2*c_0110_3 - 23416960/1129*c_0101_2, c_0011_6 + 8445864/1129*c_0101_2*c_0110_3^18 - 88481505/1129*c_0101_2*c_0110_3^17 + 836340439/2258*c_0101_2*c_0110_3^16 - 2078570545/2258*c_0101_2*c_0110_3^15 + 2254609663/2258*c_0101_2*c_0110_3^14 + 879175055/1129*c_0101_2*c_0110_3^13 - 4819728663/1129*c_0101_2*c_0110_3^12 + 13410251447/2258*c_0101_2*c_0110_3^11 - 5004755753/2258*c_0101_2*c_0110_3^10 - 10426880477/2258*c_0101_2*c_0110_3^9 + 8284342705/1129*c_0101_2*c_0110_3^8 - 8025748001/2258*c_0101_2*c_0110_3^7 - 3787120979/2258*c_0101_2*c_0110_3^6 + 3622932603/1129*c_0101_2*c_0110_3^5 - 3189177203/2258*c_0101_2*c_0110_3^4 - 231980673/1129*c_0101_2*c_0110_3^3 + 445494493/1129*c_0101_2*c_0110_3^2 - 145907438/1129*c_0101_2*c_0110_3 + 31949959/2258*c_0101_2, c_0101_0 - 12461620/1129*c_0101_2*c_0110_3^18 + 262502763/2258*c_0101_2*c_0110_3^17 - 624026503/1129*c_0101_2*c_0110_3^16 + 1565059340/1129*c_0101_2*c_0110_3^15 - 3471700555/2258*c_0101_2*c_0110_3^14 - 1234828760/1129*c_0101_2*c_0110_3^13 + 14421437035/2258*c_0101_2*c_0110_3^12 - 10249706287/1129*c_0101_2*c_0110_3^11 + 4095129478/1129*c_0101_2*c_0110_3^10 + 15313395837/2258*c_0101_2*c_0110_3^9 - 25338966119/2258*c_0101_2*c_0110_3^8 + 6416126747/1129*c_0101_2*c_0110_3^7 + 5344745361/2258*c_0101_2*c_0110_3^6 - 11106859119/2258*c_0101_2*c_0110_3^5 + 5127713905/2258*c_0101_2*c_0110_3^4 + 299969964/1129*c_0101_2*c_0110_3^3 - 694259456/1129*c_0101_2*c_0110_3^2 + 472816583/2258*c_0101_2*c_0110_3 - 53423657/2258*c_0101_2, c_0101_2^2 - 13270363/2258*c_0110_3^18 + 139777569/2258*c_0110_3^17 - 332304463/1129*c_0110_3^16 + 1667017715/2258*c_0110_3^15 - 1849433195/2258*c_0110_3^14 - 1314069555/2258*c_0110_3^13 + 7679748289/2258*c_0110_3^12 - 5459700705/1129*c_0110_3^11 + 4366476759/2258*c_0110_3^10 + 4076228498/1129*c_0110_3^9 - 13497212013/2258*c_0110_3^8 + 6839503893/2258*c_0110_3^7 + 1421757720/1129*c_0110_3^6 - 2958175832/1129*c_0110_3^5 + 2733300697/2258*c_0110_3^4 + 159300880/1129*c_0110_3^3 - 739789695/2258*c_0110_3^2 + 126043429/1129*c_0110_3 - 28504933/2258, c_0101_5 - 5675485/2258*c_0110_3^18 + 29882576/1129*c_0110_3^17 - 284104771/2258*c_0110_3^16 + 712418393/2258*c_0110_3^15 - 395013696/1129*c_0110_3^14 - 562073533/2258*c_0110_3^13 + 1640828229/1129*c_0110_3^12 - 4664940349/2258*c_0110_3^11 + 1865297133/2258*c_0110_3^10 + 3482044817/2258*c_0110_3^9 - 2882551569/1129*c_0110_3^8 + 1461611261/1129*c_0110_3^7 + 1212542967/2258*c_0110_3^6 - 1263301032/1129*c_0110_3^5 + 584343812/1129*c_0110_3^4 + 134815233/2258*c_0110_3^3 - 157992656/1129*c_0110_3^2 + 107984865/2258*c_0110_3 - 6122450/1129, c_0110_3^19 - 11*c_0110_3^18 + 55*c_0110_3^17 - 149*c_0110_3^16 + 198*c_0110_3^15 + 34*c_0110_3^14 - 625*c_0110_3^13 + 1093*c_0110_3^12 - 713*c_0110_3^11 - 461*c_0110_3^10 + 1304*c_0110_3^9 - 990*c_0110_3^8 + 26*c_0110_3^7 + 546*c_0110_3^6 - 414*c_0110_3^5 + 72*c_0110_3^4 + 67*c_0110_3^3 - 45*c_0110_3^2 + 11*c_0110_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB