Magma V2.19-8 Tue Aug 20 2013 16:17:21 on localhost [Seed = 3330759182] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1592 geometric_solution 5.36174948 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1230 3012 0132 0132 0 0 0 0 0 0 0 0 1 0 -1 0 1 -1 0 0 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 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 0.181859316801 0.772135933906 3 2 4 0 0132 3012 0132 0132 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 0 0 0 0 0 0 0 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.818023729465 1.249901628206 1 3 0 4 1230 2310 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 -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 0.818023729465 1.249901628206 1 3 3 2 0132 3201 2310 3201 0 0 0 0 0 0 0 0 1 0 -1 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 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 0.590482498241 0.560314614549 2 5 5 1 3201 0132 1023 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.292164408455 0.284272185696 6 4 4 6 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.426102693783 0.789554564596 5 6 6 5 0132 1230 3012 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.711933451395 0.208686416022 ==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_0011_4'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_1']), 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : negation(d['c_0011_1']), 'c_1001_4' : d['c_0101_5'], 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0011_1']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(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_1, c_0011_4, c_0101_0, c_0101_1, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t - 146413103452324/2905812006185*c_0101_6^16 - 30309997745392/2905812006185*c_0101_6^15 + 366460209084335/581162401237*c_0101_6^14 + 347024383212217/2905812006185*c_0101_6^13 - 719842795441059/264164727835*c_0101_6^12 + 2399789397890561/2905812006185*c_0101_6^11 + 21194959285867943/2905812006185*c_0101_6^10 - 20184080348572113/2905812006185*c_0101_6^9 - 19804115519707748/2905812006185*c_0101_6^8 + 38847982558458532/2905812006185*c_0101_6^7 - 739153906912152/264164727835*c_0101_6^6 - 21577183764541106/2905812006185*c_0101_6^5 + 16577640189950516/2905812006185*c_0101_6^4 - 1642858740674601/2905812006185*c_0101_6^3 - 769973648089658/581162401237*c_0101_6^2 + 2711495122805207/2905812006185*c_0101_6 - 618922340735106/2905812006185, c_0011_0 - 1, c_0011_1 + 27925841175/52832945567*c_0101_6^16 + 43929105754/52832945567*c_0101_6^15 - 311060675283/52832945567*c_0101_6^14 - 513671318923/52832945567*c_0101_6^13 + 1053363903097/52832945567*c_0101_6^12 + 1242940319125/52832945567*c_0101_6^11 - 3211998345595/52832945567*c_0101_6^10 - 969415883123/52832945567*c_0101_6^9 + 4875092948191/52832945567*c_0101_6^8 - 1351780526385/52832945567*c_0101_6^7 - 3035351654448/52832945567*c_0101_6^6 + 2045922259143/52832945567*c_0101_6^5 + 408492582509/52832945567*c_0101_6^4 - 405559220390/52832945567*c_0101_6^3 + 224242217003/52832945567*c_0101_6^2 - 19047979782/52832945567*c_0101_6 - 36569737804/52832945567, c_0011_4 + 24035891004/52832945567*c_0101_6^16 + 29126009444/52832945567*c_0101_6^15 - 279059509449/52832945567*c_0101_6^14 - 348929874813/52832945567*c_0101_6^13 + 1035715584450/52832945567*c_0101_6^12 + 785625007910/52832945567*c_0101_6^11 - 2999159596497/52832945567*c_0101_6^10 - 59812847035/52832945567*c_0101_6^9 + 4105316017329/52832945567*c_0101_6^8 - 1993252260892/52832945567*c_0101_6^7 - 2079521404161/52832945567*c_0101_6^6 + 1985577656281/52832945567*c_0101_6^5 + 38786968169/52832945567*c_0101_6^4 - 548412361479/52832945567*c_0101_6^3 + 329203494780/52832945567*c_0101_6^2 + 56534162538/52832945567*c_0101_6 - 80546414475/52832945567, c_0101_0 - 227912795/52832945567*c_0101_6^16 + 13900290529/52832945567*c_0101_6^15 + 13250239674/52832945567*c_0101_6^14 - 166336083811/52832945567*c_0101_6^13 - 138825256151/52832945567*c_0101_6^12 + 666151292994/52832945567*c_0101_6^11 + 210570503684/52832945567*c_0101_6^10 - 1861967025907/52832945567*c_0101_6^9 + 610498588146/52832945567*c_0101_6^8 + 2114082403452/52832945567*c_0101_6^7 - 1689017678692/52832945567*c_0101_6^6 - 539758980076/52832945567*c_0101_6^5 + 822117574862/52832945567*c_0101_6^4 - 93520992518/52832945567*c_0101_6^3 + 56376083113/52832945567*c_0101_6^2 + 29473339349/52832945567*c_0101_6 + 1559806622/52832945567, c_0101_1 - 52821509441/52832945567*c_0101_6^16 - 34272131442/52832945567*c_0101_6^15 + 628810649597/52832945567*c_0101_6^14 + 410090676547/52832945567*c_0101_6^13 - 2459405664450/52832945567*c_0101_6^12 - 300572182363/52832945567*c_0101_6^11 + 6560653152689/52832945567*c_0101_6^10 - 3691726357176/52832945567*c_0101_6^9 - 6449807358361/52832945567*c_0101_6^8 + 8002746612788/52832945567*c_0101_6^7 - 546234529070/52832945567*c_0101_6^6 - 3829100661365/52832945567*c_0101_6^5 + 2323929089815/52832945567*c_0101_6^4 - 305159391872/52832945567*c_0101_6^3 - 557587600846/52832945567*c_0101_6^2 + 218806569518/52832945567*c_0101_6 + 15546578277/52832945567, c_0101_5 - 10618520135/52832945567*c_0101_6^16 - 154366902/52832945567*c_0101_6^15 + 123715536784/52832945567*c_0101_6^14 - 11811701457/52832945567*c_0101_6^13 - 480540473121/52832945567*c_0101_6^12 + 403966838266/52832945567*c_0101_6^11 + 1233186898986/52832945567*c_0101_6^10 - 1856658530828/52832945567*c_0101_6^9 - 434372237993/52832945567*c_0101_6^8 + 2612850280738/52832945567*c_0101_6^7 - 1487099386982/52832945567*c_0101_6^6 - 483969749048/52832945567*c_0101_6^5 + 820633250257/52832945567*c_0101_6^4 - 532393146662/52832945567*c_0101_6^3 + 108999696043/52832945567*c_0101_6^2 + 80081512587/52832945567*c_0101_6 - 66600531378/52832945567, c_0101_6^17 + c_0101_6^16 - 12*c_0101_6^15 - 12*c_0101_6^14 + 48*c_0101_6^13 + 23*c_0101_6^12 - 141*c_0101_6^11 + 28*c_0101_6^10 + 197*c_0101_6^9 - 140*c_0101_6^8 - 96*c_0101_6^7 + 136*c_0101_6^6 - 12*c_0101_6^5 - 37*c_0101_6^4 + 22*c_0101_6^3 - 2*c_0101_6^2 - 4*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB