Magma V2.19-8 Tue Aug 20 2013 16:17:39 on localhost [Seed = 3836049411] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1880 geometric_solution 5.50576571 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 2 0132 0132 1023 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.805090647179 0.162622611226 0 1 0 1 0132 2310 1023 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 0.840376945506 0.085611674924 3 0 4 0 0132 0132 0132 1023 0 0 0 0 0 1 -1 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 -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 0.857421743668 0.507678557895 2 5 6 4 0132 0132 0132 2310 0 0 0 0 0 -1 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 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 0.438477870760 1.046356987846 3 6 5 2 3201 1023 1023 0132 0 0 0 0 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 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 0.438477870760 1.046356987846 6 3 4 6 1230 0132 1023 3012 0 0 0 0 0 1 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 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 0.842931720391 0.749107202530 4 5 5 3 1023 3012 1230 0132 0 0 0 0 0 0 0 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 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 0.137262890839 1.061055454378 ==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' : negation(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' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(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_0011_4'], 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : d['c_0011_0'], 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0101_2']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_0']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : d['c_0101_5'], 'c_1001_6' : d['c_0011_0'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : d['c_0101_3']})} 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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 28 Groebner basis: [ t + 29217126371/17301504*c_0101_5^27 - 39164808637/3244032*c_0101_5^26 + 723189637211/25952256*c_0101_5^25 - 209222573035/6488064*c_0101_5^24 + 1849244958863/51904512*c_0101_5^23 + 161873338009/2359296*c_0101_5^22 - 28666478147/6488064*c_0101_5^21 - 24995160559163/25952256*c_0101_5^20 - 1218220191407/2359296*c_0101_5^19 + 198070050271535/51904512*c_0101_5^18 + 182433071311163/25952256*c_0101_5^17 - 466344562391893/51904512*c_0101_5^16 - 1666618591396609/51904512*c_0101_5^15 + 72964915396007/25952256*c_0101_5^14 + 1153040221920203/12976128*c_0101_5^13 + 38618973714319/811008*c_0101_5^12 - 15734194637365/98304*c_0101_5^11 - 29367570813839/180224*c_0101_5^10 + 150853839006067/811008*c_0101_5^9 + 119882732590133/405504*c_0101_5^8 - 13179090555089/101376*c_0101_5^7 - 1428073979137/4224*c_0101_5^6 + 1177420139/32*c_0101_5^5 + 706524991105/2816*c_0101_5^4 + 38138935499/3168*c_0101_5^3 - 240504163577/2112*c_0101_5^2 - 8557187893/1056*c_0101_5 + 38101638181/1584, c_0011_0 - 1, c_0011_4 - 253875831/32768*c_0101_5^27 + 113601829/2048*c_0101_5^26 - 2099933565/16384*c_0101_5^25 + 302554953/2048*c_0101_5^24 - 5313488145/32768*c_0101_5^23 - 5188744885/16384*c_0101_5^22 + 118229771/4096*c_0101_5^21 + 72558886913/16384*c_0101_5^20 + 38355172291/16384*c_0101_5^19 - 578385885361/32768*c_0101_5^18 - 528423450557/16384*c_0101_5^17 + 1369969379371/32768*c_0101_5^16 + 4851903840887/32768*c_0101_5^15 - 233313571721/16384*c_0101_5^14 - 3367612668883/8192*c_0101_5^13 - 891968263429/4096*c_0101_5^12 + 760600151643/1024*c_0101_5^11 + 769534134069/1024*c_0101_5^10 - 443385085579/512*c_0101_5^9 - 350349464783/256*c_0101_5^8 + 9723939355/16*c_0101_5^7 + 100420566789/64*c_0101_5^6 - 5568162931/32*c_0101_5^5 - 18665958811/16*c_0101_5^4 - 220483455/4*c_0101_5^3 + 1060871585/2*c_0101_5^2 + 37782276*c_0101_5 - 112303771, c_0101_0 - 39851907/32768*c_0101_5^27 + 143126093/16384*c_0101_5^26 - 332254825/16384*c_0101_5^25 + 191812033/8192*c_0101_5^24 - 840497941/32768*c_0101_5^23 - 404847655/8192*c_0101_5^22 + 50339921/8192*c_0101_5^21 + 11428680081/16384*c_0101_5^20 + 5813757881/16384*c_0101_5^19 - 91710464649/32768*c_0101_5^18 - 41295705603/8192*c_0101_5^17 + 220039163843/32768*c_0101_5^16 + 764263791401/32768*c_0101_5^15 - 21762020677/8192*c_0101_5^14 - 266758946571/4096*c_0101_5^13 - 137583193273/4096*c_0101_5^12 + 242311275263/2048*c_0101_5^11 + 30178262151/256*c_0101_5^10 - 17771066519/128*c_0101_5^9 - 6915742239/32*c_0101_5^8 + 12602346687/128*c_0101_5^7 + 7961391235/32*c_0101_5^6 - 233999733/8*c_0101_5^5 - 741960551/4*c_0101_5^4 - 64045159/8*c_0101_5^3 + 337895459/4*c_0101_5^2 + 5849206*c_0101_5 - 17895681, c_0101_1 + 20900979/4096*c_0101_5^27 - 599061543/16384*c_0101_5^26 + 346464345/4096*c_0101_5^25 - 799043729/8192*c_0101_5^24 + 438313067/4096*c_0101_5^23 + 3412256503/16384*c_0101_5^22 - 169819739/8192*c_0101_5^21 - 373674455/128*c_0101_5^20 - 12520470707/8192*c_0101_5^19 + 95478804745/8192*c_0101_5^18 + 347650571423/16384*c_0101_5^17 - 226899923209/8192*c_0101_5^16 - 1599183237409/16384*c_0101_5^15 + 161007918595/16384*c_0101_5^14 + 2223172161101/8192*c_0101_5^13 + 584873087305/4096*c_0101_5^12 - 1005636409605/2048*c_0101_5^11 - 31670928003/64*c_0101_5^10 + 73400404651/128*c_0101_5^9 + 231095443433/256*c_0101_5^8 - 51652070129/128*c_0101_5^7 - 66307829149/64*c_0101_5^6 + 3733593637/32*c_0101_5^5 + 12333888841/16*c_0101_5^4 + 284850505/8*c_0101_5^3 - 1402569233/4*c_0101_5^2 - 49589131/2*c_0101_5 + 74249868, c_0101_2 + 89958093/32768*c_0101_5^27 - 80495261/4096*c_0101_5^26 + 743816627/16384*c_0101_5^25 - 214314527/4096*c_0101_5^24 + 1882087787/32768*c_0101_5^23 + 1839087643/16384*c_0101_5^22 - 2576973/256*c_0101_5^21 - 25706813543/16384*c_0101_5^20 - 13612573481/16384*c_0101_5^19 + 204854101867/32768*c_0101_5^18 + 187283897963/16384*c_0101_5^17 - 484919363409/32768*c_0101_5^16 - 1718996834541/32768*c_0101_5^15 + 81930161883/16384*c_0101_5^14 + 1192793628289/8192*c_0101_5^13 + 158170445693/2048*c_0101_5^12 - 269327928821/1024*c_0101_5^11 - 136349698761/512*c_0101_5^10 + 156949581583/512*c_0101_5^9 + 124111987911/256*c_0101_5^8 - 3440163887/16*c_0101_5^7 - 17783350835/32*c_0101_5^6 + 1965924793/32*c_0101_5^5 + 413130216*c_0101_5^4 + 78436679/4*c_0101_5^3 - 751294197/4*c_0101_5^2 - 13398427*c_0101_5 + 39764498, c_0101_3 - 10089/256*c_0101_5^27 + 36585/128*c_0101_5^26 - 673*c_0101_5^25 + 25033/32*c_0101_5^24 - 217871/256*c_0101_5^23 - 50285/32*c_0101_5^22 + 45119/128*c_0101_5^21 + 2918995/128*c_0101_5^20 + 1306525/128*c_0101_5^19 - 23884551/256*c_0101_5^18 - 10284025/64*c_0101_5^17 + 59566763/256*c_0101_5^16 + 195007247/256*c_0101_5^15 - 16679257/128*c_0101_5^14 - 277279293/128*c_0101_5^13 - 65265543/64*c_0101_5^12 + 256362959/64*c_0101_5^11 + 121387681/32*c_0101_5^10 - 153655057/32*c_0101_5^9 - 113816095/16*c_0101_5^8 + 56370239/16*c_0101_5^7 + 66440929/8*c_0101_5^6 - 9349697/8*c_0101_5^5 - 25013567/4*c_0101_5^4 - 722177/4*c_0101_5^3 + 5731073/2*c_0101_5^2 + 356609/2*c_0101_5 - 608768, c_0101_5^28 - 26/3*c_0101_5^27 + 82/3*c_0101_5^26 - 44*c_0101_5^25 + 149/3*c_0101_5^24 + 28/3*c_0101_5^23 - 196/3*c_0101_5^22 - 566*c_0101_5^21 + 1678/3*c_0101_5^20 + 8201/3*c_0101_5^19 + 2188/3*c_0101_5^18 - 35011/3*c_0101_5^17 - 10979*c_0101_5^16 + 91924/3*c_0101_5^15 + 150872/3*c_0101_5^14 - 155576/3*c_0101_5^13 - 414704/3*c_0101_5^12 + 47488*c_0101_5^11 + 773888/3*c_0101_5^10 + 8192*c_0101_5^9 - 1033984/3*c_0101_5^8 - 252928/3*c_0101_5^7 + 327680*c_0101_5^6 + 116736*c_0101_5^5 - 659456/3*c_0101_5^4 - 237568/3*c_0101_5^3 + 98304*c_0101_5^2 + 65536/3*c_0101_5 - 65536/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB