Magma V2.19-8 Tue Aug 20 2013 23:46:59 on localhost [Seed = 3852701655] Type ? for help. Type -D to quit. Loading file "K14n5299__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n5299 geometric_solution 10.80690663 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 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 1 -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 0.567341417393 0.361002586956 0 5 7 6 0132 0132 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 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 0.486193790367 0.812050701573 4 0 5 7 1023 0132 0321 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.110362161800 1.000566562298 8 9 10 0 0132 0132 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 1 -1 1 0 -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 0.317341475962 0.544252733550 11 2 0 8 0132 1023 0132 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.173099243492 0.780147901333 10 1 2 10 2103 0132 0321 3120 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 0 0 0 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 0.585484607745 0.664104244280 8 9 1 8 2310 2031 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.936251376031 1.062717857203 11 9 2 1 3120 1302 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.326974690758 1.108617688287 3 6 6 4 0132 1302 3201 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.271063018844 1.221664757247 6 3 11 7 1302 0132 0321 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 0.206759126174 0.935959247216 5 11 5 3 3120 2103 2103 0132 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 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 0.676365094453 1.083619422347 4 10 9 7 0132 2103 0321 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.832594178594 1.142191307225 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0110_9']), 'c_1001_4' : negation(d['c_0101_10']), 'c_1001_7' : d['c_0110_9'], 'c_1001_6' : negation(d['c_0110_9']), 'c_1001_1' : negation(d['c_0011_10']), 'c_1001_0' : negation(d['c_0101_7']), 'c_1001_3' : d['c_0011_7'], 'c_1001_2' : negation(d['c_0101_10']), 'c_1001_9' : negation(d['c_0101_7']), 'c_1001_8' : negation(d['c_0101_0']), 'c_1010_11' : negation(d['c_0011_7']), 'c_1010_10' : d['c_0011_7'], '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_0011_6'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : 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_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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_10']), 'c_1100_4' : negation(d['c_0101_3']), 'c_1100_7' : d['c_0110_2'], 'c_1100_6' : d['c_0110_2'], 'c_1100_1' : d['c_0110_2'], 'c_1100_0' : negation(d['c_0101_3']), 'c_1100_3' : negation(d['c_0101_3']), 'c_1100_2' : negation(d['c_0110_9']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_7']), 'c_1100_10' : negation(d['c_0101_3']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : negation(d['c_0011_10']), 'c_1010_4' : d['c_0110_2'], 'c_1010_3' : negation(d['c_0101_7']), 'c_1010_2' : negation(d['c_0101_7']), 'c_1010_1' : negation(d['c_0110_9']), 'c_1010_0' : negation(d['c_0101_10']), 'c_1010_9' : d['c_0011_7'], 'c_1010_8' : negation(d['c_0110_2']), 'c_1100_8' : negation(d['c_0011_6']), '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' : 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' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_7'], '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_0110_11' : d['c_0101_1'], 'c_0110_10' : d['c_0101_3'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_10'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], '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' : negation(d['c_0011_6']), 'c_0101_8' : d['c_0101_0'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0011_6'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0101_0'])})} 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_3, c_0011_6, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_7, c_0110_2, c_0110_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 21612057053/167591642112*c_0110_9^9 - 354245104981/1173141494784*c_0110_9^8 + 4770243467/6110111952*c_0110_9^7 - 886271674937/293285373696*c_0110_9^6 + 299212842521/24440447808*c_0110_9^5 - 940338257753/41897910528*c_0110_9^4 + 365799267101/10474477632*c_0110_9^3 - 13079473690547/391047164928*c_0110_9^2 + 8547292043525/391047164928*c_0110_9 - 1319981776783/146642686848, c_0011_0 - 1, c_0011_10 - 274573/3885192*c_0110_9^9 + 643211/3885192*c_0110_9^8 - 66020/161883*c_0110_9^7 + 1548319/971298*c_0110_9^6 - 1067840/161883*c_0110_9^5 + 11471179/971298*c_0110_9^4 - 8310176/485649*c_0110_9^3 + 18353317/1295064*c_0110_9^2 - 8755459/1295064*c_0110_9 + 343028/485649, c_0011_3 - 190951/18130896*c_0110_9^9 + 1963469/18130896*c_0110_9^8 - 95224/377727*c_0110_9^7 + 3186469/4532724*c_0110_9^6 - 1064359/377727*c_0110_9^5 + 6062089/647532*c_0110_9^4 - 18097363/1133181*c_0110_9^3 + 126182671/6043632*c_0110_9^2 - 12295531/863376*c_0110_9 + 13159967/2266362, c_0011_6 + 824771/54392688*c_0110_9^9 + 101603/54392688*c_0110_9^8 + 5888/161883*c_0110_9^7 - 2546333/13598172*c_0110_9^6 + 821420/1133181*c_0110_9^5 + 544963/1942596*c_0110_9^4 + 997802/3399543*c_0110_9^3 + 39113173/18130896*c_0110_9^2 - 27524947/18130896*c_0110_9 + 7005497/6799086, c_0011_7 - 274573/1942596*c_0110_9^9 + 643211/1942596*c_0110_9^8 - 132040/161883*c_0110_9^7 + 1548319/485649*c_0110_9^6 - 2135680/161883*c_0110_9^5 + 11471179/485649*c_0110_9^4 - 16620352/485649*c_0110_9^3 + 18353317/647532*c_0110_9^2 - 9402991/647532*c_0110_9 + 1171705/485649, c_0101_0 - 715217/18130896*c_0110_9^9 + 1788511/18130896*c_0110_9^8 - 15242/53961*c_0110_9^7 + 4497491/4532724*c_0110_9^6 - 1492991/377727*c_0110_9^5 + 5147135/647532*c_0110_9^4 - 15454973/1133181*c_0110_9^3 + 79352873/6043632*c_0110_9^2 - 56057375/6043632*c_0110_9 + 6663583/2266362, c_0101_1 + 1, c_0101_10 + 1232137/27196344*c_0110_9^9 - 3842729/27196344*c_0110_9^8 + 394367/1133181*c_0110_9^7 - 8234959/6799086*c_0110_9^6 + 5675444/1133181*c_0110_9^5 - 10565053/971298*c_0110_9^4 + 56747843/3399543*c_0110_9^3 - 150045817/9065448*c_0110_9^2 + 95769241/9065448*c_0110_9 - 9526691/3399543, c_0101_3 - 871117/54392688*c_0110_9^9 + 800945/7770384*c_0110_9^8 - 270229/1133181*c_0110_9^7 + 9477487/13598172*c_0110_9^6 - 3304135/1133181*c_0110_9^5 + 16601719/1942596*c_0110_9^4 - 46473346/3399543*c_0110_9^3 + 297391141/18130896*c_0110_9^2 - 216861511/18130896*c_0110_9 + 25156931/6799086, c_0101_7 + 121493/6043632*c_0110_9^9 + 13985/6043632*c_0110_9^8 + 1538/125909*c_0110_9^7 - 47597/215844*c_0110_9^6 + 106311/125909*c_0110_9^5 + 184117/215844*c_0110_9^4 - 755659/377727*c_0110_9^3 + 1220037/287792*c_0110_9^2 - 7759121/2014544*c_0110_9 + 378425/755454, c_0110_2 + 2250865/54392688*c_0110_9^9 - 6926111/54392688*c_0110_9^8 + 48286/161883*c_0110_9^7 - 14684035/13598172*c_0110_9^6 + 5103571/1133181*c_0110_9^5 - 18413971/1942596*c_0110_9^4 + 47896735/3399543*c_0110_9^3 - 254245945/18130896*c_0110_9^2 + 166030351/18130896*c_0110_9 - 17705027/6799086, c_0110_9^10 - 3*c_0110_9^9 + 8*c_0110_9^8 - 28*c_0110_9^7 + 112*c_0110_9^6 - 244*c_0110_9^5 + 416*c_0110_9^4 - 475*c_0110_9^3 + 393*c_0110_9^2 - 208*c_0110_9 + 64 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_6, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_7, c_0110_2, c_0110_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 1769205443/33620*c_0110_9^10 - 930005629/6724*c_0110_9^9 - 3922178829/26896*c_0110_9^8 - 22758473831/134480*c_0110_9^7 - 317053450759/134480*c_0110_9^6 - 154761104293/26896*c_0110_9^5 - 221892039169/26896*c_0110_9^4 - 793041176401/134480*c_0110_9^3 - 59644852561/26896*c_0110_9^2 - 58362397923/134480*c_0110_9 - 2382662033/67240, c_0011_0 - 1, c_0011_10 - c_0110_9 - 1, c_0011_3 - 64221/164*c_0110_9^10 - 43216/41*c_0110_9^9 - 749555/656*c_0110_9^8 - 214837/164*c_0110_9^7 - 2887655/164*c_0110_9^6 - 7201237/164*c_0110_9^5 - 20914185/328*c_0110_9^4 - 7712161/164*c_0110_9^3 - 2999281/164*c_0110_9^2 - 607061/164*c_0110_9 - 205159/656, c_0011_6 - 53551/82*c_0110_9^10 - 143735/82*c_0110_9^9 - 621421/328*c_0110_9^8 - 713601/328*c_0110_9^7 - 9627585/328*c_0110_9^6 - 23947645/328*c_0110_9^5 - 34730651/328*c_0110_9^4 - 25531287/328*c_0110_9^3 - 9903711/328*c_0110_9^2 - 2000779/328*c_0110_9 - 21096/41, c_0011_7 + c_0110_9, c_0101_0 - 106487/164*c_0110_9^10 - 71396/41*c_0110_9^9 - 1233289/656*c_0110_9^8 - 354115/164*c_0110_9^7 - 1196350/41*c_0110_9^6 - 11894549/164*c_0110_9^5 - 34480961/328*c_0110_9^4 - 12656071/164*c_0110_9^3 - 1224480/41*c_0110_9^2 - 984461/164*c_0110_9 - 329049/656, c_0101_1 + 1, c_0101_10 + 30137/164*c_0110_9^10 + 38751/82*c_0110_9^9 + 318047/656*c_0110_9^8 + 186623/328*c_0110_9^7 + 2691397/328*c_0110_9^6 + 6440107/328*c_0110_9^5 + 1139839/41*c_0110_9^4 + 6311969/328*c_0110_9^3 + 2281223/328*c_0110_9^2 + 424477/328*c_0110_9 + 64301/656, c_0101_3 + 30137/164*c_0110_9^10 + 38751/82*c_0110_9^9 + 318047/656*c_0110_9^8 + 186623/328*c_0110_9^7 + 2691397/328*c_0110_9^6 + 6440107/328*c_0110_9^5 + 1139839/41*c_0110_9^4 + 6311969/328*c_0110_9^3 + 2281223/328*c_0110_9^2 + 424477/328*c_0110_9 + 64301/656, c_0101_7 - 8459/41*c_0110_9^10 - 45461/82*c_0110_9^9 - 98383/164*c_0110_9^8 - 225799/328*c_0110_9^7 - 3042059/328*c_0110_9^6 - 7574639/328*c_0110_9^5 - 10990495/328*c_0110_9^4 - 8089425/328*c_0110_9^3 - 3140117/328*c_0110_9^2 - 634169/328*c_0110_9 - 53223/328, c_0110_2 + 36305/82*c_0110_9^10 + 48645/41*c_0110_9^9 + 419735/328*c_0110_9^8 + 241113/164*c_0110_9^7 + 3262587/164*c_0110_9^6 + 8103847/164*c_0110_9^5 + 5870259/82*c_0110_9^4 + 8609083/164*c_0110_9^3 + 3326693/164*c_0110_9^2 + 667561/164*c_0110_9 + 111281/328, c_0110_9^11 + 3*c_0110_9^10 + 15/4*c_0110_9^9 + 17/4*c_0110_9^8 + 46*c_0110_9^7 + 126*c_0110_9^6 + 395/2*c_0110_9^5 + 341/2*c_0110_9^4 + 84*c_0110_9^3 + 24*c_0110_9^2 + 15/4*c_0110_9 + 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.240 Total time: 1.449 seconds, Total memory usage: 32.09MB