Magma V2.19-8 Wed Aug 21 2013 01:02:05 on localhost [Seed = 104865190] Type ? for help. Type -D to quit. Loading file "L14n138__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n138 geometric_solution 11.49723398 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 1 1 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 1 1 -2 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 0.001308167177 1.005508891152 0 5 6 6 0132 0132 0213 0132 0 1 1 1 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 1 0 -1 0 0 2 -2 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.065725068727 1.129489116980 3 0 8 7 1023 0132 0132 0132 1 1 1 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 0 0 0 0 0 0 0 -1 1 0 -1 0 0 1 0 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.066943330694 1.108807799318 5 2 9 0 0132 1023 0132 0132 1 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 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 0.052148835989 0.843476945722 10 7 0 9 0132 0132 0132 0132 1 1 1 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 0 0 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.163062845579 0.932997703358 3 1 11 11 0132 0132 0132 0321 0 1 1 1 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 -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 0.434826525624 0.525682336138 10 1 1 11 3012 0213 0132 0132 0 1 1 1 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 0 1 -1 -2 0 2 0 2 -2 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.051345084523 0.882368254646 12 4 2 10 0132 0132 0132 1302 1 1 1 1 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 2 0 -2 0 0 -1 1 -2 0 0 2 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.289745405961 0.953210200094 12 11 9 2 2103 3012 1302 0132 1 1 1 1 0 -1 0 1 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 1 0 -1 0 0 0 0 2 -1 0 -1 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.580779344930 0.386171564246 8 12 4 3 2031 1302 0132 0132 1 1 1 1 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 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.136371597576 1.234997752446 4 12 7 6 0132 0132 2031 1230 1 1 1 1 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 0 0 0 0 0 0 0 -2 2 0 0 2 -2 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.352198242640 0.480074266969 8 5 6 5 1230 0321 0132 0132 0 1 1 1 0 -1 1 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 0 1 -1 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 0.065725068727 1.129489116980 7 10 8 9 0132 0132 2103 2031 1 1 1 1 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 0 -2 2 0 0 0 0 1 -1 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.292041412432 1.755753420628 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_0011_9'], 'c_1001_12' : d['c_0011_8'], 'c_1001_5' : d['c_1001_1'], 'c_1001_4' : negation(d['c_0101_11']), 'c_1001_7' : d['c_0101_7'], 'c_1001_6' : d['c_1001_1'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_7'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : negation(d['c_0101_11']), 'c_1001_9' : d['c_0101_7'], 'c_1001_8' : negation(d['c_0011_11']), 'c_1010_12' : d['c_0011_9'], 'c_1010_11' : d['c_1001_1'], 'c_1010_10' : d['c_0011_8'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : negation(d['c_0011_9']), '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' : negation(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_12' : 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_0101_10'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : d['c_1001_11'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0101_10'], 'c_1100_6' : d['c_1001_11'], 'c_1100_1' : d['c_1001_11'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0101_10'], 's_3_11' : negation(d['1']), 'c_1100_11' : d['c_1001_11'], 'c_1100_10' : d['c_0101_11'], 's_0_11' : negation(d['1']), 'c_1010_7' : negation(d['c_0101_11']), 'c_1010_6' : d['c_1001_11'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0101_7'], 'c_1010_3' : d['c_0101_7'], 'c_1010_2' : d['c_0101_7'], 'c_1010_1' : d['c_1001_1'], 'c_1010_0' : negation(d['c_0101_11']), 'c_1010_9' : d['c_0101_2'], 'c_1010_8' : negation(d['c_0101_11']), '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' : negation(d['1']), 'c_1100_12' : negation(d['c_0101_2']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_10'], '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' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_8'], 'c_0110_10' : d['c_0011_6'], 'c_0110_12' : d['c_0101_7'], 'c_0110_0' : d['c_0011_6'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0011_8'], 'c_0101_5' : d['c_0011_8'], 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : negation(d['c_0011_11']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_6'], 'c_0101_0' : d['c_0011_8'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : negation(d['c_0011_9']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_11']), 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0011_8'], 'c_1100_9' : d['c_1100_0'], 'c_0110_3' : d['c_0011_8'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : negation(d['c_0011_11']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(d['c_0011_9']), 'c_0110_6' : d['c_0101_11'], 's_2_9' : d['1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_6, c_0011_8, c_0011_9, c_0101_10, c_0101_11, c_0101_2, c_0101_7, c_1001_1, c_1001_11, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 126173863204796429573996693272010/115381228539848197078991412444765\ 7*c_1100_0^11 - 1399891202915818379162495611520513/1153812285398481\ 970789914124447657*c_1100_0^10 + 6242080281876229623555430483798596\ /1153812285398481970789914124447657*c_1100_0^9 - 925795681669739515468441622528815/79573261061964273847580284444666*\ c_1100_0^8 + 23024673791785718177692787009912222/115381228539848197\ 0789914124447657*c_1100_0^7 - 13299750040943859106876522830334749/3\ 55019164737994452550742807522356*c_1100_0^6 + 81348816717115776421870539692270619/2307624570796963941579828248895\ 314*c_1100_0^5 - 4801278613869835302188593252967825/124736463286322\ 375220531256697044*c_1100_0^4 + 17046909162267225834978771187348534\ 7/2307624570796963941579828248895314*c_1100_0^3 - 57248143249611870143375699940915547/2307624570796963941579828248895\ 314*c_1100_0^2 + 104822093440484420574355680174062113/1153812285398\ 481970789914124447657*c_1100_0 + 1153696884688880597219679470206750\ 8/1153812285398481970789914124447657, c_0011_0 - 1, c_0011_10 + 2672029326364222868144/254909928998158521336401*c_1100_0^11 - 29971121109177443100544/254909928998158521336401*c_1100_0^10 + 136538791285374617823080/254909928998158521336401*c_1100_0^9 - 307784999438841609803296/254909928998158521336401*c_1100_0^8 + 549725076999408493156140/254909928998158521336401*c_1100_0^7 - 1009304737279446145645880/254909928998158521336401*c_1100_0^6 + 995512529712445724374584/254909928998158521336401*c_1100_0^5 - 1094233055636157401120822/254909928998158521336401*c_1100_0^4 + 1872169330574194753744616/254909928998158521336401*c_1100_0^3 - 746527415999936384483133/254909928998158521336401*c_1100_0^2 + 2429838940568053803319628/254909928998158521336401*c_1100_0 + 256294164238812031050081/254909928998158521336401, c_0011_11 + 3617645749879529645536/254909928998158521336401*c_1100_0^11 - 39285240227970505783956/254909928998158521336401*c_1100_0^10 + 169926169200165392737356/254909928998158521336401*c_1100_0^9 - 347683039961392956879214/254909928998158521336401*c_1100_0^8 + 595792807405184766623694/254909928998158521336401*c_1100_0^7 - 1161154692867220182188243/254909928998158521336401*c_1100_0^6 + 1032386961534439448735344/254909928998158521336401*c_1100_0^5 - 1221391577001288235312957/254909928998158521336401*c_1100_0^4 + 2361862476409440822660760/254909928998158521336401*c_1100_0^3 - 531992112944111411393364/254909928998158521336401*c_1100_0^2 + 3167638584690801257370080/254909928998158521336401*c_1100_0 + 595584149778622722508801/254909928998158521336401, c_0011_6 - 2229818501981519913032/254909928998158521336401*c_1100_0^11 + 25637977127541178729052/254909928998158521336401*c_1100_0^10 - 120298826764195423513440/254909928998158521336401*c_1100_0^9 + 281885179378475738777034/254909928998158521336401*c_1100_0^8 - 499171099661677467675392/254909928998158521336401*c_1100_0^7 + 892892297553252012990563/254909928998158521336401*c_1100_0^6 - 918700749664372147141292/254909928998158521336401*c_1100_0^5 + 1006953377983611699012109/254909928998158521336401*c_1100_0^4 - 1713681362657800157258424/254909928998158521336401*c_1100_0^3 + 872595031042181504870092/254909928998158521336401*c_1100_0^2 - 2425553812244420734755448/254909928998158521336401*c_1100_0 - 51963354481838636490601/254909928998158521336401, c_0011_8 + 693913623949004866252/254909928998158521336401*c_1100_0^11 - 6823631550214663527452/254909928998158521336401*c_1100_0^10 + 24813671217984984611958/254909928998158521336401*c_1100_0^9 - 32898930291458609051090/254909928998158521336401*c_1100_0^8 + 48310853871753649474151/254909928998158521336401*c_1100_0^7 - 134131197656984084598840/254909928998158521336401*c_1100_0^6 + 56843105935033650797026/254909928998158521336401*c_1100_0^5 - 107219099508838268150424/254909928998158521336401*c_1100_0^4 + 324090556875820332701168/254909928998158521336401*c_1100_0^3 + 170301459049035046738364/254909928998158521336401*c_1100_0^2 + 371042386223190261307316/254909928998158521336401*c_1100_0 + 271810397648392043009100/254909928998158521336401, c_0011_9 + 3457262738534483176768/254909928998158521336401*c_1100_0^11 - 38448286932312181691208/254909928998158521336401*c_1100_0^10 + 171962800551826784218672/254909928998158521336401*c_1100_0^9 - 371848730568158603057824/254909928998158521336401*c_1100_0^8 + 640766373430994001883996/254909928998158521336401*c_1100_0^7 - 1210814791476318921862004/254909928998158521336401*c_1100_0^6 + 1175251271862087850277624/254909928998158521336401*c_1100_0^5 - 1293724426812434882211187/254909928998158521336401*c_1100_0^4 + 2354023042285662549180176/254909928998158521336401*c_1100_0^3 - 741433243256192036767955/254909928998158521336401*c_1100_0^2 + 2952491274267373290940596/254909928998158521336401*c_1100_0 + 255965936670366071028071/254909928998158521336401, c_0101_10 + 1272712143119996417212/254909928998158521336401*c_1100_0^11 - 13769000506924472245548/254909928998158521336401*c_1100_0^10 + 58715664704493750430494/254909928998158521336401*c_1100_0^9 - 114350867845537044564994/254909928998158521336401*c_1100_0^8 + 179853957440552582934727/254909928998158521336401*c_1100_0^7 - 346739134744712508607232/254909928998158521336401*c_1100_0^6 + 261290395891904836825896/254909928998158521336401*c_1100_0^5 - 271961690536294609151024/254909928998158521336401*c_1100_0^4 + 648437339310209504017549/254909928998158521336401*c_1100_0^3 + 17031504543299127077424/254909928998158521336401*c_1100_0^2 + 912080104234473993826868/254909928998158521336401*c_1100_0 + 321242940186130166069764/254909928998158521336401, c_0101_11 - 1, c_0101_2 - 2672029326364222868144/254909928998158521336401*c_1100_0^11 + 29971121109177443100544/254909928998158521336401*c_1100_0^10 - 136538791285374617823080/254909928998158521336401*c_1100_0^9 + 307784999438841609803296/254909928998158521336401*c_1100_0^8 - 549725076999408493156140/254909928998158521336401*c_1100_0^7 + 1009304737279446145645880/254909928998158521336401*c_1100_0^6 - 995512529712445724374584/254909928998158521336401*c_1100_0^5 + 1094233055636157401120822/254909928998158521336401*c_1100_0^4 - 1872169330574194753744616/254909928998158521336401*c_1100_0^3 + 746527415999936384483133/254909928998158521336401*c_1100_0^2 - 2429838940568053803319628/254909928998158521336401*c_1100_0 - 256294164238812031050081/254909928998158521336401, c_0101_7 + 1752495184327576963552/254909928998158521336401*c_1100_0^11 - 19410523296415636838504/254909928998158521336401*c_1100_0^10 + 86353618621006821681620/254909928998158521336401*c_1100_0^9 - 185385389031852734601824/254909928998158521336401*c_1100_0^8 + 319399355213145924995954/254909928998158521336401*c_1100_0^7 - 597058469038229662732020/254909928998158521336401*c_1100_0^6 + 531324018790771377695323/254909928998158521336401*c_1100_0^5 - 576204001817733393313508/254909928998158521336401*c_1100_0^4 + 1173709486800581422237850/254909928998158521336401*c_1100_0^3 - 345363538746506692817704/254909928998158521336401*c_1100_0^2 + 1538541532704356833756673/254909928998158521336401*c_1100_0 + 263424743648914147521388/254909928998158521336401, c_1001_1 - 1, c_1001_11 - 32750033158308/2855360295504037*c_1100_0^11 + 363617019199448/2855360295504037*c_1100_0^10 - 1625470089565326/2855360295504037*c_1100_0^9 + 3526037812413388/2855360295504037*c_1100_0^8 - 6132590592952691/2855360295504037*c_1100_0^7 + 11504150200419511/2855360295504037*c_1100_0^6 - 10927503698067366/2855360295504037*c_1100_0^5 + 12480344987261321/2855360295504037*c_1100_0^4 - 22825996041807304/2855360295504037*c_1100_0^3 + 7866704875475536/2855360295504037*c_1100_0^2 - 31325926687303068/2855360295504037*c_1100_0 - 3626734824306137/2855360295504037, c_1100_0^12 - 11*c_1100_0^11 + 97/2*c_1100_0^10 - 205/2*c_1100_0^9 + 701/4*c_1100_0^8 - 657/2*c_1100_0^7 + 293*c_1100_0^6 - 333*c_1100_0^5 + 639*c_1100_0^4 - 158*c_1100_0^3 + 852*c_1100_0^2 + 203*c_1100_0 + 37/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.520 Total time: 0.750 seconds, Total memory usage: 32.09MB