Magma V2.19-8 Tue Aug 20 2013 23:55:39 on localhost [Seed = 4138770108] Type ? for help. Type -D to quit. Loading file "L14n12461__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n12461 geometric_solution 10.78950530 oriented_manifold CS_known 0.0000000000000007 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 0 1 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 0 1 -9 0 9 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 0.626687573948 0.902064484010 0 5 7 6 0132 0132 0132 0132 1 1 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 0 0 0 0 0 0 -1 1 9 0 -9 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 0.508689367607 0.334134173119 8 0 5 6 0132 0132 3201 3201 1 0 1 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 1 0 -1 0 0 0 0 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.738429069910 0.910028781413 8 5 4 0 2031 3201 0213 0132 1 1 1 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 0 0 0 8 0 1 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.932270983795 0.910889560369 9 3 0 7 0132 0213 0132 1302 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 -1 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 0.351099534893 0.400574609261 2 1 3 10 2310 0132 2310 0132 1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.969932777621 0.829770679777 8 2 1 7 1023 2310 0132 3120 1 1 0 1 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 1 -1 0 -8 0 0 8 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.626687573948 0.902064484010 6 10 4 1 3120 0132 2031 0132 1 1 0 1 0 0 0 0 -1 0 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 -1 1 -8 0 -1 9 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.695844759376 0.473235256808 2 6 3 9 0132 1023 1302 1023 1 0 0 1 0 1 -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 8 -8 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 0.216139751305 0.746183208986 4 11 11 8 0132 0132 3201 1023 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 0 0 0 0.613636777807 1.128034438549 11 7 5 11 2310 0132 0132 1023 1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.769019077082 0.326157421721 9 9 10 10 2310 0132 3201 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.173771956142 0.643476949831 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_10']), 'c_1001_10' : d['c_1001_1'], 'c_1001_5' : negation(d['c_1001_0']), 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_7' : negation(d['c_0101_9']), 'c_1001_6' : negation(d['c_1001_0']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : negation(d['c_0101_5']), 'c_1001_9' : negation(d['c_0101_11']), 'c_1001_8' : d['c_0101_0'], 'c_1010_11' : negation(d['c_0101_11']), 'c_1010_10' : negation(d['c_0101_9']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(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' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : 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_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0011_11'], 'c_1100_5' : d['c_0011_10'], 'c_1100_4' : d['c_0101_7'], 'c_1100_7' : negation(d['c_0101_7']), 'c_1100_6' : negation(d['c_0101_7']), 'c_1100_1' : negation(d['c_0101_7']), 'c_1100_0' : d['c_0101_7'], 'c_1100_3' : d['c_0101_7'], 'c_1100_2' : negation(d['c_0011_0']), 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0011_11']), 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : d['c_0011_10'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0101_7'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_0']), 'c_1010_0' : negation(d['c_0101_5']), 'c_1010_9' : negation(d['c_0101_10']), 'c_1010_8' : d['c_0101_1'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : 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' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_11']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_11'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : d['c_0011_0'], '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_11' : negation(d['c_0101_9']), 'c_0110_10' : negation(d['c_0101_11']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_11'], 'c_0101_2' : negation(d['c_0101_10']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : negation(d['c_0101_10']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_10']), 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_5, c_0101_7, c_0101_9, c_1001_0, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 19578675684463580448272/9630078364934816933625*c_1001_1^9 - 32378513098730367735472/3210026121644938977875*c_1001_1^8 - 8226945370118555552224/385203134597392677345*c_1001_1^7 - 192043972830306834592/6314805485203158645*c_1001_1^6 - 121972479991243556409873/3210026121644938977875*c_1001_1^5 - 453113985188118027869369/9630078364934816933625*c_1001_1^4 - 802623195729647621791129/38520313459739267734500*c_1001_1^3 + 93546157625408733534356/3210026121644938977875*c_1001_1^2 + 1893781434837825744690227/38520313459739267734500*c_1001_1 + 347918355108684293591/385203134597392677345, c_0011_0 - 1, c_0011_10 + 19280738166424/1015282177613349*c_1001_1^9 + 33793848172192/338427392537783*c_1001_1^8 + 226747174799096/1015282177613349*c_1001_1^7 + 4715782746176/16643970124809*c_1001_1^6 + 215058610180035/676854785075566*c_1001_1^5 + 478591379858179/1015282177613349*c_1001_1^4 + 3371082795986191/8122257420906792*c_1001_1^3 - 526833242363925/2707419140302264*c_1001_1^2 - 2347948725497861/8122257420906792*c_1001_1 + 7338426416399761/8122257420906792, c_0011_11 - 15756876546632/1015282177613349*c_1001_1^9 - 38002035071696/338427392537783*c_1001_1^8 - 220795871755960/1015282177613349*c_1001_1^7 - 2846150534560/16643970124809*c_1001_1^6 - 173432820483961/676854785075566*c_1001_1^5 - 346091620146368/1015282177613349*c_1001_1^4 + 1307240818175035/8122257420906792*c_1001_1^3 + 1810736650902177/2707419140302264*c_1001_1^2 - 181799657026241/8122257420906792*c_1001_1 - 5552418162979805/8122257420906792, c_0101_0 - 1, c_0101_1 + 36150112/1022545317*c_1001_1^9 + 48295840/340848439*c_1001_1^8 + 177939200/1022545317*c_1001_1^7 + 241668608/1022545317*c_1001_1^6 + 170593910/340848439*c_1001_1^5 + 677533534/1022545317*c_1001_1^4 + 628584619/2045090634*c_1001_1^3 + 53105318/340848439*c_1001_1^2 + 1416645097/2045090634*c_1001_1 + 603551984/1022545317, c_0101_10 - 42690080315824/1015282177613349*c_1001_1^9 - 63811248716224/338427392537783*c_1001_1^8 - 277485856197296/1015282177613349*c_1001_1^7 - 4298278904672/16643970124809*c_1001_1^6 - 135293511859147/338427392537783*c_1001_1^5 - 343684732162702/1015282177613349*c_1001_1^4 + 1788001387624105/4061128710453396*c_1001_1^3 + 1108736427750341/1353709570151132*c_1001_1^2 - 821635247091419/4061128710453396*c_1001_1 - 2764010673668321/4061128710453396, c_0101_11 + 18704504529376/338427392537783*c_1001_1^9 + 79647845301824/338427392537783*c_1001_1^8 + 137559728339232/338427392537783*c_1001_1^7 + 2536740732288/5547990041603*c_1001_1^6 + 243571762570234/338427392537783*c_1001_1^5 + 323926710961504/338427392537783*c_1001_1^4 + 110848004255403/676854785075566*c_1001_1^3 - 216241473399973/676854785075566*c_1001_1^2 + 638801269140359/676854785075566*c_1001_1 + 853807811157753/676854785075566, c_0101_5 - 19280738166424/1015282177613349*c_1001_1^9 - 33793848172192/338427392537783*c_1001_1^8 - 226747174799096/1015282177613349*c_1001_1^7 - 4715782746176/16643970124809*c_1001_1^6 - 215058610180035/676854785075566*c_1001_1^5 - 478591379858179/1015282177613349*c_1001_1^4 - 3371082795986191/8122257420906792*c_1001_1^3 + 526833242363925/2707419140302264*c_1001_1^2 + 2347948725497861/8122257420906792*c_1001_1 - 7338426416399761/8122257420906792, c_0101_7 - 9640369083212/1015282177613349*c_1001_1^9 - 16896924086096/338427392537783*c_1001_1^8 - 113373587399548/1015282177613349*c_1001_1^7 - 2357891373088/16643970124809*c_1001_1^6 - 215058610180035/1353709570151132*c_1001_1^5 - 478591379858179/2030564355226698*c_1001_1^4 - 3371082795986191/16244514841813584*c_1001_1^3 + 526833242363925/5414838280604528*c_1001_1^2 - 5774308695408931/16244514841813584*c_1001_1 - 7338426416399761/16244514841813584, c_0101_9 - 24833080919296/338427392537783*c_1001_1^9 - 67366070587368/338427392537783*c_1001_1^8 - 59886949494696/338427392537783*c_1001_1^7 - 1019412154224/5547990041603*c_1001_1^6 - 162995016782096/338427392537783*c_1001_1^5 - 292763592975255/676854785075566*c_1001_1^4 + 160445149459139/676854785075566*c_1001_1^3 + 278123951453531/2707419140302264*c_1001_1^2 - 288251738442944/338427392537783*c_1001_1 - 1318681260454549/2707419140302264, c_1001_0 - 10423584766012/338427392537783*c_1001_1^9 - 49263176395048/338427392537783*c_1001_1^8 - 59189669146820/338427392537783*c_1001_1^7 - 735346186800/5547990041603*c_1001_1^6 - 278302494138557/1353709570151132*c_1001_1^5 - 72187357701318/338427392537783*c_1001_1^4 + 1405403345545965/5414838280604528*c_1001_1^3 + 2548388682112125/5414838280604528*c_1001_1^2 - 1742637419178359/5414838280604528*c_1001_1 - 3349390363901099/5414838280604528, c_1001_1^10 + 5*c_1001_1^9 + 11*c_1001_1^8 + 15*c_1001_1^7 + 307/16*c_1001_1^6 + 421/16*c_1001_1^5 + 1333/64*c_1001_1^4 - 19/8*c_1001_1^3 - 89/32*c_1001_1^2 + 477/16*c_1001_1 + 2245/64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.080 Total time: 0.290 seconds, Total memory usage: 32.09MB