Magma V2.19-8 Tue Aug 20 2013 23:46:51 on localhost [Seed = 2395530404] Type ? for help. Type -D to quit. Loading file "K14n2815__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n2815 geometric_solution 10.60639032 oriented_manifold CS_known 0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 2 0132 0132 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.486241941902 0.554167793567 0 4 6 5 0132 0132 0132 0132 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 0 -8 8 -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 0.482122392768 0.264187276201 0 0 8 7 3012 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 -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 0.899673760172 0.970437766855 9 6 5 0 0132 1230 3012 0132 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 -1 0 1 0 0 -1 1 0 0 0 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.358936932241 0.487923473460 7 1 7 8 3120 0132 3201 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 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 0.497924755979 0.813658261135 10 3 1 10 0132 1230 0132 3201 0 0 0 0 0 0 1 -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 1 -8 7 0 0 0 0 -7 0 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.250930095900 0.505039090205 7 11 3 1 1023 0132 3012 0132 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 0 -8 8 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 0.469174840218 1.902139955645 4 6 2 4 2310 1023 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.266885903998 0.537884138911 11 11 4 2 2310 3012 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 1 -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 0.534214768876 0.585768679263 3 10 10 11 0132 3201 0132 0213 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 0 8 -7 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.087458254762 0.966193816773 5 5 9 9 0132 2310 2310 0132 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 0 -7 7 0 0 0 0 0 0 0 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.707970945027 1.378715854893 8 6 8 9 1230 0132 3201 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.150030295890 0.931995257333 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_8']), 'c_1001_10' : d['c_0011_8'], 'c_1001_5' : negation(d['c_0101_7']), 'c_1001_4' : negation(d['c_0101_7']), 'c_1001_7' : d['c_0101_6'], 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : negation(d['c_0101_8']), 'c_1001_0' : d['c_0101_6'], 'c_1001_3' : d['c_0011_10'], 'c_1001_2' : negation(d['c_0101_11']), 'c_1001_9' : negation(d['c_0101_10']), 'c_1001_8' : negation(d['c_0011_11']), 'c_1010_11' : negation(d['c_0011_3']), 'c_1010_10' : negation(d['c_0101_10']), 's_0_10' : d['1'], 's_0_11' : 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' : 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_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' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0011_3']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0011_10']), 'c_1100_4' : d['c_0011_11'], 'c_1100_7' : negation(d['c_0101_4']), 'c_1100_6' : negation(d['c_0011_10']), 'c_1100_1' : negation(d['c_0011_10']), 'c_1100_0' : d['c_0101_7'], 'c_1100_3' : d['c_0101_7'], 'c_1100_2' : negation(d['c_0101_4']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_8']), 'c_1100_10' : negation(d['c_0011_3']), 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_0']), 'c_1010_6' : negation(d['c_0101_8']), 'c_1010_5' : negation(d['c_0011_8']), 'c_1010_4' : negation(d['c_0101_8']), 'c_1010_3' : d['c_0101_6'], 'c_1010_2' : d['c_0101_6'], 'c_1010_1' : negation(d['c_0101_7']), 'c_1010_0' : negation(d['c_0101_11']), 'c_1010_9' : negation(d['c_0011_8']), 'c_1010_8' : negation(d['c_0101_11']), 'c_1100_8' : negation(d['c_0101_4']), '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_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' : 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_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : negation(d['c_0011_11']), '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_0011_8'], 'c_0110_10' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_8']), 'c_0101_2' : negation(d['c_0101_11']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_8']), 'c_0110_8' : negation(d['c_0101_11']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : negation(d['c_0101_4']), 'c_0110_7' : negation(d['c_0101_4']), 'c_0110_6' : negation(d['c_0011_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_11, c_0011_3, c_0011_8, c_0101_0, c_0101_10, c_0101_11, c_0101_4, c_0101_6, c_0101_7, c_0101_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 9365570756413103541/3136105882956157312*c_0101_8^9 - 92374856955939710901/3136105882956157312*c_0101_8^8 + 330062833524310812783/3136105882956157312*c_0101_8^7 - 168052204212655895513/784026470739039328*c_0101_8^6 + 462284087833027139283/1568052941478078656*c_0101_8^5 - 261221028160547310141/3136105882956157312*c_0101_8^4 + 25843019902450054315/1568052941478078656*c_0101_8^3 - 84975637930260861861/1568052941478078656*c_0101_8^2 + 27133540033348504129/196006617684759832*c_0101_8 - 38129860819146695125/3136105882956157312, c_0011_0 - 1, c_0011_10 - 16539600/946677439*c_0101_8^9 + 165274684/946677439*c_0101_8^8 - 612262640/946677439*c_0101_8^7 + 1334355689/946677439*c_0101_8^6 - 1969468725/946677439*c_0101_8^5 + 913686541/946677439*c_0101_8^4 - 501105874/946677439*c_0101_8^3 - 203044431/946677439*c_0101_8^2 - 965346002/946677439*c_0101_8 - 160459947/946677439, c_0011_11 + 22608607/946677439*c_0101_8^9 - 191801708/946677439*c_0101_8^8 + 503031732/946677439*c_0101_8^7 - 664814017/946677439*c_0101_8^6 + 523984579/946677439*c_0101_8^5 + 1311507163/946677439*c_0101_8^4 + 867374306/946677439*c_0101_8^3 - 793464453/946677439*c_0101_8^2 + 1718657457/946677439*c_0101_8 + 789808107/946677439, c_0011_3 - 70157002/946677439*c_0101_8^9 + 673266166/946677439*c_0101_8^8 - 2269977192/946677439*c_0101_8^7 + 4219376872/946677439*c_0101_8^6 - 5126282123/946677439*c_0101_8^5 - 660363402/946677439*c_0101_8^4 + 1079584334/946677439*c_0101_8^3 + 1303167129/946677439*c_0101_8^2 - 2302912570/946677439*c_0101_8 - 952179439/946677439, c_0011_8 + 70157002/946677439*c_0101_8^9 - 673266166/946677439*c_0101_8^8 + 2269977192/946677439*c_0101_8^7 - 4219376872/946677439*c_0101_8^6 + 5126282123/946677439*c_0101_8^5 + 660363402/946677439*c_0101_8^4 - 1079584334/946677439*c_0101_8^3 - 1303167129/946677439*c_0101_8^2 + 2302912570/946677439*c_0101_8 + 952179439/946677439, c_0101_0 - 198706752/946677439*c_0101_8^9 + 1887545154/946677439*c_0101_8^8 - 6284685808/946677439*c_0101_8^7 + 11672169464/946677439*c_0101_8^6 - 14297792647/946677439*c_0101_8^5 - 1907566609/946677439*c_0101_8^4 + 1617721701/946677439*c_0101_8^3 + 2461178333/946677439*c_0101_8^2 - 6793858765/946677439*c_0101_8 - 2626074841/946677439, c_0101_10 + 128549750/946677439*c_0101_8^9 - 1214278988/946677439*c_0101_8^8 + 4014708616/946677439*c_0101_8^7 - 7452792592/946677439*c_0101_8^6 + 9171510524/946677439*c_0101_8^5 + 1247203207/946677439*c_0101_8^4 - 538137367/946677439*c_0101_8^3 - 1158011204/946677439*c_0101_8^2 + 4490946195/946677439*c_0101_8 + 1673895402/946677439, c_0101_11 - 22608607/946677439*c_0101_8^9 + 191801708/946677439*c_0101_8^8 - 503031732/946677439*c_0101_8^7 + 664814017/946677439*c_0101_8^6 - 523984579/946677439*c_0101_8^5 - 1311507163/946677439*c_0101_8^4 - 867374306/946677439*c_0101_8^3 + 793464453/946677439*c_0101_8^2 - 771980018/946677439*c_0101_8 - 789808107/946677439, c_0101_4 - 21032648/946677439*c_0101_8^9 + 200082008/946677439*c_0101_8^8 - 657651259/946677439*c_0101_8^7 + 1139335926/946677439*c_0101_8^6 - 1135911199/946677439*c_0101_8^5 - 1006881271/946677439*c_0101_8^4 + 1461028309/946677439*c_0101_8^3 - 759003757/946677439*c_0101_8^2 - 581742758/946677439*c_0101_8 - 491533687/946677439, c_0101_6 - 161628950/946677439*c_0101_8^9 + 1544828356/946677439*c_0101_8^8 - 5239233896/946677439*c_0101_8^7 + 10121503970/946677439*c_0101_8^6 - 13110447974/946677439*c_0101_8^5 + 580169875/946677439*c_0101_8^4 - 464074381/946677439*c_0101_8^3 + 751922342/946677439*c_0101_8^2 - 6421638199/946677439*c_0101_8 - 1994815296/946677439, c_0101_7 - 115723986/946677439*c_0101_8^9 + 1084878188/946677439*c_0101_8^8 - 3541335016/946677439*c_0101_8^7 + 6491637744/946677439*c_0101_8^6 - 7811465444/946677439*c_0101_8^5 - 1896275672/946677439*c_0101_8^4 + 614437329/946677439*c_0101_8^3 + 232198270/946677439*c_0101_8^2 - 4499180473/946677439*c_0101_8 - 1750113963/946677439, c_0101_8^10 - 9*c_0101_8^9 + 27*c_0101_8^8 - 44*c_0101_8^7 + 46*c_0101_8^6 + 39*c_0101_8^5 + 6*c_0101_8^4 - 18*c_0101_8^3 + 32*c_0101_8^2 + 31*c_0101_8 + 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.380 Total time: 1.590 seconds, Total memory usage: 32.09MB