Magma V2.19-8 Wed Aug 21 2013 00:36:36 on localhost [Seed = 3364804905] Type ? for help. Type -D to quit. Loading file "K14n24006__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n24006 geometric_solution 12.40385920 oriented_manifold CS_known 0.0000000000000006 1 0 torus 0.000000000000 0.000000000000 13 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 1 0 -1 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 0.264657978255 0.659753631966 0 5 7 6 0132 0132 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 -1 0 1 0 0 17 0 -17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.263361974347 1.371530413062 8 0 9 6 0132 0132 0132 2031 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 -1 1 0 0 0 0 0 -16 0 0 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.096051139275 0.866195540234 7 10 5 0 2031 0132 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 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 0.453886981841 0.694481914093 10 11 0 7 0132 0132 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 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 0.462498192247 1.116734590681 12 1 9 3 0132 0132 3201 1302 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 -1 1 0 0 0 0 0 0 0 0 17 -17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.533010242890 0.839345492233 10 2 1 9 2103 1302 0132 3201 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 0 0 0 0 -1 -16 17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.107231699004 0.582700286574 11 4 3 1 0213 1302 1302 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.683437396919 0.764362790823 2 12 9 12 0132 0132 0321 0213 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 -1 1 0 0 1 -1 0 0 0 0 16 -16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.446048663998 0.725404984348 5 6 8 2 2310 2310 0321 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 0.757234174281 0.723490842460 4 3 6 11 0132 0132 2103 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 0 0 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.562461240811 0.823428841659 7 4 12 10 0213 0132 3120 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 1 0 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 -0.316562603081 0.764362790823 5 8 11 8 0132 0132 3120 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 1 -1 0 0 0 0 -17 16 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.446048663998 0.725404984348 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_7'], 'c_1001_10' : d['c_0011_6'], 'c_1001_12' : negation(d['c_0011_7']), 'c_1001_5' : d['c_0101_8'], 'c_1001_4' : negation(d['c_0110_6']), 'c_1001_7' : d['c_0101_0'], 'c_1001_6' : d['c_0101_8'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : negation(d['c_0101_12']), 'c_1001_2' : negation(d['c_0110_6']), 'c_1001_9' : d['c_1001_8'], 'c_1001_8' : d['c_1001_8'], 'c_1010_12' : d['c_1001_8'], 'c_1010_11' : negation(d['c_0110_6']), 'c_1010_10' : negation(d['c_0101_12']), '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'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_7'], 'c_0101_10' : d['c_0101_0'], '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' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : negation(d['1']), 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(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_1001_8'], 'c_1100_8' : d['c_1001_8'], 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : negation(d['c_0011_9']), 'c_1100_4' : negation(d['c_1001_1']), 'c_1100_7' : negation(d['c_0011_9']), 'c_1100_6' : negation(d['c_0011_9']), 'c_1100_1' : negation(d['c_0011_9']), 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : d['c_1001_8'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_12']), 'c_1100_10' : negation(d['c_0110_6']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : negation(d['c_1001_8']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0011_7'], 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : d['c_0101_8'], 'c_1010_0' : negation(d['c_0110_6']), 'c_1010_9' : negation(d['c_0110_6']), 'c_1010_8' : negation(d['c_0011_7']), 's_3_1' : negation(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'], 'c_1100_12' : negation(d['c_0011_7']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(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' : d['c_0011_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_1']), 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : negation(d['c_0101_2']), 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_9']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_8']), 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0101_12'], 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0110_6']})} 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_6, c_0011_7, c_0011_9, c_0101_0, c_0101_1, c_0101_12, c_0101_2, c_0101_8, c_0110_6, c_1001_1, c_1001_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 2612271879/131195*c_1001_8^9 + 2085609211/26239*c_1001_8^8 - 13830079656/131195*c_1001_8^7 + 7685970426/131195*c_1001_8^6 - 781928578/26239*c_1001_8^5 + 71545706/6905*c_1001_8^4 + 830514397/131195*c_1001_8^3 - 28885717/26239*c_1001_8^2 - 967723004/131195*c_1001_8 + 393787509/131195, c_0011_0 - 1, c_0011_10 - 48237/1381*c_1001_8^9 + 191339/1381*c_1001_8^8 - 250235/1381*c_1001_8^7 + 134657/1381*c_1001_8^6 - 68011/1381*c_1001_8^5 + 22113/1381*c_1001_8^4 + 17235/1381*c_1001_8^3 - 2281/1381*c_1001_8^2 - 16784/1381*c_1001_8 + 7543/1381, c_0011_6 + 48237/1381*c_1001_8^9 - 191339/1381*c_1001_8^8 + 250235/1381*c_1001_8^7 - 134657/1381*c_1001_8^6 + 68011/1381*c_1001_8^5 - 22113/1381*c_1001_8^4 - 17235/1381*c_1001_8^3 + 2281/1381*c_1001_8^2 + 16784/1381*c_1001_8 - 7543/1381, c_0011_7 - 15820/1381*c_1001_8^9 + 47805/1381*c_1001_8^8 - 31329/1381*c_1001_8^7 - 5282/1381*c_1001_8^6 - 5950/1381*c_1001_8^5 - 6690/1381*c_1001_8^4 + 4242/1381*c_1001_8^3 + 4621/1381*c_1001_8^2 - 3656/1381*c_1001_8 - 1192/1381, c_0011_9 + 91973/1381*c_1001_8^9 - 387149/1381*c_1001_8^8 + 554879/1381*c_1001_8^7 - 335989/1381*c_1001_8^6 + 158240/1381*c_1001_8^5 - 67596/1381*c_1001_8^4 - 30297/1381*c_1001_8^3 + 11570/1381*c_1001_8^2 + 37189/1381*c_1001_8 - 19925/1381, c_0101_0 - 32417/1381*c_1001_8^9 + 143534/1381*c_1001_8^8 - 218906/1381*c_1001_8^7 + 139939/1381*c_1001_8^6 - 62061/1381*c_1001_8^5 + 28803/1381*c_1001_8^4 + 12993/1381*c_1001_8^3 - 6902/1381*c_1001_8^2 - 13128/1381*c_1001_8 + 8735/1381, c_0101_1 - 42084/1381*c_1001_8^9 + 179440/1381*c_1001_8^8 - 263098/1381*c_1001_8^7 + 164797/1381*c_1001_8^6 - 75871/1381*c_1001_8^5 + 31565/1381*c_1001_8^4 + 14374/1381*c_1001_8^3 - 8283/1381*c_1001_8^2 - 17271/1381*c_1001_8 + 10116/1381, c_0101_12 + 49889/1381*c_1001_8^9 - 207709/1381*c_1001_8^8 + 291781/1381*c_1001_8^7 - 171192/1381*c_1001_8^6 + 82369/1381*c_1001_8^5 - 36031/1381*c_1001_8^4 - 15923/1381*c_1001_8^3 + 3287/1381*c_1001_8^2 + 19918/1381*c_1001_8 - 9809/1381, c_0101_2 - 27482/1381*c_1001_8^9 + 121585/1381*c_1001_8^8 - 185158/1381*c_1001_8^7 + 117187/1381*c_1001_8^6 - 49493/1381*c_1001_8^5 + 23050/1381*c_1001_8^4 + 10967/1381*c_1001_8^3 - 7045/1381*c_1001_8^2 - 11572/1381*c_1001_8 + 8508/1381, c_0101_8 + 4200/1381*c_1001_8^9 + 654/1381*c_1001_8^8 - 38771/1381*c_1001_8^7 + 50715/1381*c_1001_8^6 - 16630/1381*c_1001_8^5 + 16906/1381*c_1001_8^4 - 4927/1381*c_1001_8^3 - 5822/1381*c_1001_8^2 - 997/1381*c_1001_8 + 4655/1381, c_0110_6 - 30394/1381*c_1001_8^9 + 114558/1381*c_1001_8^8 - 139532/1381*c_1001_8^7 + 72910/1381*c_1001_8^6 - 43671/1381*c_1001_8^5 + 9524/1381*c_1001_8^4 + 9614/1381*c_1001_8^3 - 1609/1381*c_1001_8^2 - 9021/1381*c_1001_8 + 3163/1381, c_1001_1 - 80283/1381*c_1001_8^9 + 322267/1381*c_1001_8^8 - 431313/1381*c_1001_8^7 + 244102/1381*c_1001_8^6 - 126040/1381*c_1001_8^5 + 45555/1381*c_1001_8^4 + 25537/1381*c_1001_8^3 - 4896/1381*c_1001_8^2 - 28939/1381*c_1001_8 + 12972/1381, c_1001_8^10 - 33/7*c_1001_8^9 + 58/7*c_1001_8^8 - 50/7*c_1001_8^7 + 4*c_1001_8^6 - 12/7*c_1001_8^5 + 1/7*c_1001_8^4 + 2/7*c_1001_8^3 + 2/7*c_1001_8^2 - 3/7*c_1001_8 + 1/7 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_6, c_0011_7, c_0011_9, c_0101_0, c_0101_1, c_0101_12, c_0101_2, c_0101_8, c_0110_6, c_1001_1, c_1001_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 16523631187938769733915443609/42057053735159990670081800*c_1001_8^1\ 7 + 9781915012924365259808816407/5257131716894998833760225*c_1001_8\ ^16 + 825251026455174211944690382591/168228214940639962680327200*c_\ 1001_8^15 + 1798243361572992157310632232393/33645642988127992536065\ 4400*c_1001_8^14 + 1042410522312729982105359276757/3364564298812799\ 25360654400*c_1001_8^13 - 9337892661862882293880469068683/336456429\ 881279925360654400*c_1001_8^12 + 8995272747000594142897337842889/33\ 6456429881279925360654400*c_1001_8^11 - 238453436317836117954366958699/168228214940639962680327200*c_1001_8\ ^10 - 1527320620973107025373547479031/33645642988127992536065440*c_\ 1001_8^9 + 20135872743601549877230888893617/33645642988127992536065\ 4400*c_1001_8^8 - 186106816895974308765077305192/525713171689499883\ 3760225*c_1001_8^7 + 690588414149630426967420573301/841141074703199\ 81340163600*c_1001_8^6 + 773565387250782703926782429107/33645642988\ 1279925360654400*c_1001_8^5 + 39014410206651644777424544453/8411410\ 7470319981340163600*c_1001_8^4 - 126957816840404827791597802381/336\ 45642988127992536065440*c_1001_8^3 + 256905476262345770796737679277/168228214940639962680327200*c_1001_8\ ^2 + 7908975218459241951951073501/16822821494063996268032720*c_1001\ _8 - 93669952429329902908328547629/336456429881279925360654400, c_0011_0 - 1, c_0011_10 + 5623929932292273311889712/2313137955433799486854499*c_1001_\ 8^17 + 29801805527152339769358104/2313137955433799486854499*c_1001_\ 8^16 + 87138068738081907961353700/2313137955433799486854499*c_1001_\ 8^15 + 126007054575993035340162352/2313137955433799486854499*c_1001\ _8^14 + 116254781642449733870281477/2313137955433799486854499*c_100\ 1_8^13 - 330869794535817860502240889/2313137955433799486854499*c_10\ 01_8^12 + 200546814442239331889635389/2313137955433799486854499*c_1\ 001_8^11 + 92760586072283244745519904/2313137955433799486854499*c_1\ 001_8^10 - 561305151050664048730194842/2313137955433799486854499*c_\ 1001_8^9 + 46675275126500066991603481/210285268675799953350409*c_10\ 01_8^8 - 253711258352399538924538970/2313137955433799486854499*c_10\ 01_8^7 + 32261056828132141074724490/2313137955433799486854499*c_100\ 1_8^6 + 10406699663111440633840950/2313137955433799486854499*c_1001\ _8^5 + 26541498862014908110117037/2313137955433799486854499*c_1001_\ 8^4 - 36801792219772055139784449/2313137955433799486854499*c_1001_8\ ^3 + 6924485386155551641937451/2313137955433799486854499*c_1001_8^2 + 2377215852031650907036553/2313137955433799486854499*c_1001_8 - 2435036451189169070255801/2313137955433799486854499, c_0011_6 - 2548078276582623448279868/2313137955433799486854499*c_1001_8\ ^17 - 13662844452288287138453052/2313137955433799486854499*c_1001_8\ ^16 - 39905432095952634566568241/2313137955433799486854499*c_1001_8\ ^15 - 114298685836031094187390985/4626275910867598973708998*c_1001_\ 8^14 - 48520567774218655374112539/2313137955433799486854499*c_1001_\ 8^13 + 160348776408103007299392527/2313137955433799486854499*c_1001\ _8^12 - 126764789851421225206079243/4626275910867598973708998*c_100\ 1_8^11 - 116344557636311469160774541/4626275910867598973708998*c_10\ 01_8^10 + 271504700818955002462978161/2313137955433799486854499*c_1\ 001_8^9 - 37340911468224245390408883/420570537351599906700818*c_100\ 1_8^8 + 115189480989567289328623851/4626275910867598973708998*c_100\ 1_8^7 + 22504067789201938852034127/4626275910867598973708998*c_1001\ _8^6 - 44878255876273942128635009/4626275910867598973708998*c_1001_\ 8^5 - 23325912600092862234742929/4626275910867598973708998*c_1001_8\ ^4 + 11817677794370047743427753/4626275910867598973708998*c_1001_8^\ 3 + 3916308334718761042055351/4626275910867598973708998*c_1001_8^2 - 6925920494325025258639659/4626275910867598973708998*c_1001_8 - 1040803720592796263350941/4626275910867598973708998, c_0011_7 - 9810737045075826735784724/2313137955433799486854499*c_1001_8\ ^17 - 53141877737626092487375912/2313137955433799486854499*c_1001_8\ ^16 - 157231903143512790075984599/2313137955433799486854499*c_1001_\ 8^15 - 464042773732851900059168577/4626275910867598973708998*c_1001\ _8^14 - 418669994260187758535637449/4626275910867598973708998*c_100\ 1_8^13 + 590665820137916733913591668/2313137955433799486854499*c_10\ 01_8^12 - 234238259392452179486527798/2313137955433799486854499*c_1\ 001_8^11 - 223145347936765845296290243/2313137955433799486854499*c_\ 1001_8^10 + 1899145009398647722776948171/4626275910867598973708998*\ c_1001_8^9 - 137394309008607339970492163/420570537351599906700818*c\ _1001_8^8 + 282127786656750071157992951/2313137955433799486854499*c\ _1001_8^7 - 5088226745830429831207533/4626275910867598973708998*c_1\ 001_8^6 - 22420265005123158889523053/2313137955433799486854499*c_10\ 01_8^5 - 46723793019703843026317057/2313137955433799486854499*c_100\ 1_8^4 + 85599958615742148810424255/4626275910867598973708998*c_1001\ _8^3 - 3321867993942668798102133/4626275910867598973708998*c_1001_8\ ^2 - 12211075981815113031164553/4626275910867598973708998*c_1001_8 - 228007002377928636438520/2313137955433799486854499, c_0011_9 + 7462444324967008009490172/2313137955433799486854499*c_1001_8\ ^17 + 40600431494916939162966804/2313137955433799486854499*c_1001_8\ ^16 + 121205632415993148749565589/2313137955433799486854499*c_1001_\ 8^15 + 365599479093969718792442541/4626275910867598973708998*c_1001\ _8^14 + 173727760398712242413890985/2313137955433799486854499*c_100\ 1_8^13 - 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21/2*c_1001_8^7 - 1/8*c_1001_8^6 + 51/8*c_1001_8^5 - 31/4*c_1001_8^4 + 2*c_1001_8^3 + 3/4*c_1001_8^2 - 1/8*c_1001_8 - 1/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 3.920 Total time: 4.139 seconds, Total memory usage: 83.19MB