Magma V2.19-8 Tue Aug 20 2013 23:39:57 on localhost [Seed = 3499537507] Type ? for help. Type -D to quit. Loading file "K14n21325__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n21325 geometric_solution 9.81643524 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 1 0 -1 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 -15 -1 16 0 0 0 0 0 16 0 -16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.001021643283 0.575368634691 0 4 6 5 0132 3012 0132 0132 0 0 0 0 0 -1 1 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 16 -16 0 0 0 0 0 0 0 0 0 0 -15 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.264363796505 1.369435843103 4 0 8 7 3012 0132 0132 0132 0 0 0 0 0 -1 1 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 15 -15 0 0 0 0 0 0 0 0 0 0 -16 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.065427485008 1.064269908142 9 5 9 0 0132 2031 2031 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 -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 0.885564477213 1.092073216837 1 6 0 2 1230 0132 0132 1230 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 16 -16 0 0 0 0 0 15 -15 0 0 -16 0 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.677708165448 1.025537681218 3 8 1 10 1302 0213 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 0 0 0 1 0 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 -0.066253025748 0.831787995570 8 4 10 1 1302 0132 0132 0132 0 0 0 0 0 1 0 -1 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 -16 0 16 -1 0 1 0 15 0 0 -15 0 15 -15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.120705184803 0.748922517673 9 8 2 10 1230 1023 0132 0321 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 -16 0 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.269313098402 1.707426400767 7 6 5 2 1023 2031 0213 0132 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 -15 0 15 0 0 0 0 16 0 0 -16 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.120705184803 0.748922517673 3 7 10 3 0132 3012 1302 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.552032165079 0.552431457121 9 7 5 6 2031 0321 0132 0132 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 1 -1 1 -16 0 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.523165798487 0.666886905447 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_7' : d['c_0011_5'], 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : d['c_0011_5'], 'c_1001_3' : negation(d['c_0101_10']), 'c_1001_2' : negation(d['c_0011_4']), 'c_1001_9' : negation(d['c_0011_7']), 'c_1001_8' : negation(d['c_0101_1']), 'c_1010_10' : d['c_0101_2'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : 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_10' : 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' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0101_10'], 'c_1100_8' : d['c_1001_10'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_0101_7'], 'c_1100_7' : d['c_1001_10'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_0101_7'], 'c_1100_3' : d['c_0101_7'], 'c_1100_2' : d['c_1001_10'], 'c_1100_10' : d['c_1100_1'], 'c_1010_7' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : d['c_1001_10'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : d['c_0011_5'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0011_4']), 'c_1010_9' : negation(d['c_0101_7']), 'c_1010_8' : negation(d['c_0011_4']), 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_10']), 'c_0011_8' : d['c_0011_7'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(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_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : negation(d['c_0011_7']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_7']), 'c_0101_5' : negation(d['c_0011_10']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_10'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_10']), 'c_0101_9' : negation(d['c_0011_10']), 'c_0101_8' : d['c_0011_5'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : negation(d['c_0011_10']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_10']), 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_7' : negation(d['c_0011_10']), 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_4, c_0011_5, c_0011_7, c_0101_1, c_0101_10, c_0101_2, c_0101_7, c_1001_10, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 837600907818170845/3392117159519776*c_1100_1^15 + 2069690032381572315/1696058579759888*c_1100_1^14 + 7366308195144933913/1696058579759888*c_1100_1^13 - 21670415970432620679/1696058579759888*c_1100_1^12 - 198262661049095089449/3392117159519776*c_1100_1^11 - 8265555391428607033/424014644939972*c_1100_1^10 + 856612766030772698725/3392117159519776*c_1100_1^9 + 1100264347595446238365/1696058579759888*c_1100_1^8 + 185233043075961514337/212007322469986*c_1100_1^7 + 2817561337830828042597/3392117159519776*c_1100_1^6 + 65142024008179675578/106003661234993*c_1100_1^5 + 35273017710139586389/106003661234993*c_1100_1^4 + 188324268921680687629/1696058579759888*c_1100_1^3 + 58222658027416468823/3392117159519776*c_1100_1^2 - 1200164830161160919/3392117159519776*c_1100_1 - 696025596023487847/3392117159519776, c_0011_0 - 1, c_0011_10 - 987102724749/2585455152073*c_1100_1^15 + 3418768168494/2585455152073*c_1100_1^14 + 24707461312899/2585455152073*c_1100_1^13 - 26306803546105/2585455152073*c_1100_1^12 - 310118891674981/2585455152073*c_1100_1^11 - 413220672047162/2585455152073*c_1100_1^10 + 910713917255731/2585455152073*c_1100_1^9 + 4049535732734769/2585455152073*c_1100_1^8 + 7205261055533081/2585455152073*c_1100_1^7 + 8374088336762238/2585455152073*c_1100_1^6 + 7366385766635450/2585455152073*c_1100_1^5 + 5045298953821414/2585455152073*c_1100_1^4 + 2527779603745872/2585455152073*c_1100_1^3 + 842696437989128/2585455152073*c_1100_1^2 + 168339528027604/2585455152073*c_1100_1 + 14227347430223/2585455152073, c_0011_4 + 4702367619702/2585455152073*c_1100_1^15 - 20457849515339/2585455152073*c_1100_1^14 - 96002679498137/2585455152073*c_1100_1^13 + 192037636279663/2585455152073*c_1100_1^12 + 1249866889289296/2585455152073*c_1100_1^11 + 1054368427229817/2585455152073*c_1100_1^10 - 4492263301948247/2585455152073*c_1100_1^9 - 15184703175866494/2585455152073*c_1100_1^8 - 24384273118582365/2585455152073*c_1100_1^7 - 26713701612101092/2585455152073*c_1100_1^6 - 22460378600743203/2585455152073*c_1100_1^5 - 14608381522130951/2585455152073*c_1100_1^4 - 6870954985145309/2585455152073*c_1100_1^3 - 2134846797251638/2585455152073*c_1100_1^2 - 393146263860951/2585455152073*c_1100_1 - 34894279908517/2585455152073, c_0011_5 - 138673225948/2585455152073*c_1100_1^15 + 2194791856186/2585455152073*c_1100_1^14 - 5208908572463/2585455152073*c_1100_1^13 - 32587341604507/2585455152073*c_1100_1^12 + 47436660126439/2585455152073*c_1100_1^11 + 333689578254191/2585455152073*c_1100_1^10 + 228878860635991/2585455152073*c_1100_1^9 - 1152980506029956/2585455152073*c_1100_1^8 - 3290724833538660/2585455152073*c_1100_1^7 - 4584460329485908/2585455152073*c_1100_1^6 - 4486361743510123/2585455152073*c_1100_1^5 - 3426947626698763/2585455152073*c_1100_1^4 - 1927731513016741/2585455152073*c_1100_1^3 - 697133653878296/2585455152073*c_1100_1^2 - 143825710300360/2585455152073*c_1100_1 - 12718764421414/2585455152073, c_0011_7 + 138673225948/2585455152073*c_1100_1^15 - 2194791856186/2585455152073*c_1100_1^14 + 5208908572463/2585455152073*c_1100_1^13 + 32587341604507/2585455152073*c_1100_1^12 - 47436660126439/2585455152073*c_1100_1^11 - 333689578254191/2585455152073*c_1100_1^10 - 228878860635991/2585455152073*c_1100_1^9 + 1152980506029956/2585455152073*c_1100_1^8 + 3290724833538660/2585455152073*c_1100_1^7 + 4584460329485908/2585455152073*c_1100_1^6 + 4486361743510123/2585455152073*c_1100_1^5 + 3426947626698763/2585455152073*c_1100_1^4 + 1927731513016741/2585455152073*c_1100_1^3 + 697133653878296/2585455152073*c_1100_1^2 + 143825710300360/2585455152073*c_1100_1 + 12718764421414/2585455152073, c_0101_1 - 1, c_0101_10 - 1479608591479/2585455152073*c_1100_1^15 + 5874940921229/2585455152073*c_1100_1^14 + 33276256793729/2585455152073*c_1100_1^13 - 52187636154506/2585455152073*c_1100_1^12 - 426250937810102/2585455152073*c_1100_1^11 - 446996526352961/2585455152073*c_1100_1^10 + 1424902170693910/2585455152073*c_1100_1^9 + 5335372991937562/2585455152073*c_1100_1^8 + 8864503007294758/2585455152073*c_1100_1^7 + 9836764339973449/2585455152073*c_1100_1^6 + 8337035192420391/2585455152073*c_1100_1^5 + 5482634670813427/2585455152073*c_1100_1^4 + 2595138956031282/2585455152073*c_1100_1^3 + 796953883211277/2585455152073*c_1100_1^2 + 144739403601148/2585455152073*c_1100_1 + 12973998919267/2585455152073, c_0101_2 - 80048225670/2585455152073*c_1100_1^15 + 883067277338/2585455152073*c_1100_1^14 - 1261239784858/2585455152073*c_1100_1^13 - 11326365766358/2585455152073*c_1100_1^12 + 10392698385910/2585455152073*c_1100_1^11 + 93296516507267/2585455152073*c_1100_1^10 + 64482265309906/2585455152073*c_1100_1^9 - 279625974937318/2585455152073*c_1100_1^8 - 723353226469658/2585455152073*c_1100_1^7 - 901402150171942/2585455152073*c_1100_1^6 - 818710954250762/2585455152073*c_1100_1^5 - 580452938009350/2585455152073*c_1100_1^4 - 269740418512651/2585455152073*c_1100_1^3 - 65468833050306/2585455152073*c_1100_1^2 - 5600900712874/2585455152073*c_1100_1 + 2062400802608/2585455152073, c_0101_7 - 138673225948/2585455152073*c_1100_1^15 + 2194791856186/2585455152073*c_1100_1^14 - 5208908572463/2585455152073*c_1100_1^13 - 32587341604507/2585455152073*c_1100_1^12 + 47436660126439/2585455152073*c_1100_1^11 + 333689578254191/2585455152073*c_1100_1^10 + 228878860635991/2585455152073*c_1100_1^9 - 1152980506029956/2585455152073*c_1100_1^8 - 3290724833538660/2585455152073*c_1100_1^7 - 4584460329485908/2585455152073*c_1100_1^6 - 4486361743510123/2585455152073*c_1100_1^5 - 3426947626698763/2585455152073*c_1100_1^4 - 1927731513016741/2585455152073*c_1100_1^3 - 697133653878296/2585455152073*c_1100_1^2 - 146411165452433/2585455152073*c_1100_1 - 15304219573487/2585455152073, c_1001_10 - 4599898218141/2585455152073*c_1100_1^15 + 20386430505316/2585455152073*c_1100_1^14 + 92491154864902/2585455152073*c_1100_1^13 - 196795860177095/2585455152073*c_1100_1^12 - 1209665344177387/2585455152073*c_1100_1^11 - 916402349852660/2585455152073*c_1100_1^10 + 4511895299584102/2585455152073*c_1100_1^9 + 14451505150823348/2585455152073*c_1100_1^8 + 22433117608245772/2585455152073*c_1100_1^7 + 23932330057445033/2585455152073*c_1100_1^6 + 19712165035185487/2585455152073*c_1100_1^5 + 12492591923696566/2585455152073*c_1100_1^4 + 5627224557845666/2585455152073*c_1100_1^3 + 1652183454408503/2585455152073*c_1100_1^2 + 286430762313850/2585455152073*c_1100_1 + 23068324518395/2585455152073, c_1100_1^16 - 4*c_1100_1^15 - 22*c_1100_1^14 + 34*c_1100_1^13 + 281*c_1100_1^12 + 314*c_1100_1^11 - 889*c_1100_1^10 - 3564*c_1100_1^9 - 6260*c_1100_1^8 - 7369*c_1100_1^7 - 6602*c_1100_1^6 - 4624*c_1100_1^5 - 2434*c_1100_1^4 - 903*c_1100_1^3 - 219*c_1100_1^2 - 31*c_1100_1 - 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.220 Total time: 0.430 seconds, Total memory usage: 32.09MB