Magma V2.19-8 Tue Aug 20 2013 16:16:07 on localhost [Seed = 1377029789] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0374 geometric_solution 4.43047662 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 1 0 0 0132 2310 1230 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 1 0 -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 2.416442391335 0.158185233299 0 2 2 0 0132 0132 3201 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 -0.843221466193 0.385070890826 1 1 3 3 2310 0132 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.337763236083 0.341841420151 4 2 5 2 0132 2310 0132 0132 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 1 -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 1.219505051666 0.524918605573 3 5 5 6 0132 1230 3012 0132 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 -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 1.174690793285 0.800715241602 6 4 4 3 3201 1230 3012 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 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 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 1.174690793285 0.800715241602 6 6 4 5 1302 2031 0132 2310 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 -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 0.624156072357 0.605556409900 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : 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' : negation(d['1']), 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_2'], 'c_0101_3' : negation(d['c_0011_6']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : negation(d['c_0011_3']), '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' : d['c_0011_0'], 'c_1001_5' : d['c_0011_3'], 'c_1001_4' : d['c_0011_3'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : negation(d['c_0011_6']), 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_6' : negation(d['c_0101_5']), 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0101_5'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 238355775346406067950589233/183769185158844944891237184*c_0101_5^19 - 4287843490130517478123281365/45942296289711236222809296*c_0101_5^\ 17 + 143164821676516815358856085295/61256395052948314963745728*c_01\ 01_5^15 - 1054626188606597113186301925059/4594229628971123622280929\ 6*c_0101_5^13 + 5036939621161921907594264807795/9188459257942247244\ 5618592*c_0101_5^11 - 2215626809874856588566217147761/6125639505294\ 8314963745728*c_0101_5^9 + 18315226346267806242361261125337/1837691\ 85158844944891237184*c_0101_5^7 - 15298147752546898380527153500387/\ 183769185158844944891237184*c_0101_5^5 + 350730136866304966399281424109/15314098763237078740936432*c_0101_5^\ 3 - 10523734754734029669333445589/5742787036213904527851162*c_0101_\ 5, c_0011_0 - 1, c_0011_3 + 9306542067174960258981/15314098763237078740936432*c_0101_5^1\ 8 - 82754182535767534924471/1914262345404634842617054*c_0101_5^16 + 16223414642648512488219009/15314098763237078740936432*c_0101_5^14 - 9449877368440549130319075/957131172702317421308527*c_0101_5^12 + 132172931453679527388667615/7657049381618539370468216*c_0101_5^10 + 4125253126399330806303849/15314098763237078740936432*c_0101_5^8 + 623860392278934968288421305/15314098763237078740936432*c_0101_5^6 - 53020756612457330548909859/15314098763237078740936432*c_0101_5^4 - 8963172844083090985438445/1914262345404634842617054*c_0101_5^2 - 801912341109140810346/957131172702317421308527, c_0011_6 - 3596958764523150455919/15314098763237078740936432*c_0101_5^1\ 8 + 31846820005204134962135/1914262345404634842617054*c_0101_5^16 - 6191544834183657140460515/15314098763237078740936432*c_0101_5^14 + 3530170887090787163172691/957131172702317421308527*c_0101_5^12 - 41682895359248462718683117/7657049381618539370468216*c_0101_5^10 - 41852309789979698518686187/15314098763237078740936432*c_0101_5^8 - 221948581498494549110208715/15314098763237078740936432*c_0101_5^6 - 62253687583924489697167559/15314098763237078740936432*c_0101_5^4 + 10611680122333919284393703/1914262345404634842617054*c_0101_5^2 - 523985058804525648307414/957131172702317421308527, c_0101_0 - 439441967493418886719355/30628197526474157481872864*c_0101_5\ ^19 + 7893023832278831625443759/7657049381618539370468216*c_0101_5^\ 17 - 788330558261463938376751903/30628197526474157481872864*c_0101_\ 5^15 + 1922571716725843245605916745/7657049381618539370468216*c_010\ 1_5^13 - 8865265051643702827110251753/15314098763237078740936432*c_\ 0101_5^11 + 10406765173326254467087224401/3062819752647415748187286\ 4*c_0101_5^9 - 32882024195011971313602588243/3062819752647415748187\ 2864*c_0101_5^7 + 24679827393848362454735136721/3062819752647415748\ 1872864*c_0101_5^5 - 1383637062374159287739837241/76570493816185393\ 70468216*c_0101_5^3 + 21848393427207381246928659/191426234540463484\ 2617054*c_0101_5, c_0101_1 + 23833992411635130530831/3828524690809269685234108*c_0101_5^1\ 8 - 1711663171891338484193235/3828524690809269685234108*c_0101_5^16 + 42705582496516067186468039/3828524690809269685234108*c_0101_5^14 - 415823722959594837055592943/3828524690809269685234108*c_0101_5^12 + 474624465271728552971723403/1914262345404634842617054*c_0101_5^10 - 536237798863753854644218271/3828524690809269685234108*c_0101_5^8 + 442177541856346363907757489/957131172702317421308527*c_0101_5^6 - 321990046725121379777783168/957131172702317421308527*c_0101_5^4 + 262268195783298782234426553/3828524690809269685234108*c_0101_5^2 - 2844408529441579755341003/957131172702317421308527, c_0101_2 + 52206417664593979627027/15314098763237078740936432*c_0101_5^\ 19 - 1871051876321414477509583/7657049381618539370468216*c_0101_5^1\ 7 + 93030567355071413314939759/15314098763237078740936432*c_0101_5^\ 15 - 449050407395867290568424279/7657049381618539370468216*c_0101_5\ ^13 + 978350138206395797732645669/7657049381618539370468216*c_0101_\ 5^11 - 910831137095368413042451909/15314098763237078740936432*c_010\ 1_5^9 + 3750252456993201952037708609/15314098763237078740936432*c_0\ 101_5^7 - 2291440944787337109251541355/15314098763237078740936432*c\ _0101_5^5 + 142909746618749559820193429/7657049381618539370468216*c\ _0101_5^3 + 3765156286030658711703243/1914262345404634842617054*c_0\ 101_5, c_0101_5^20 - 72*c_0101_5^18 + 1805*c_0101_5^16 - 17776*c_0101_5^14 + 43030*c_0101_5^12 - 29755*c_0101_5^10 + 78149*c_0101_5^8 - 67527*c_0101_5^6 + 20632*c_0101_5^4 - 2288*c_0101_5^2 + 64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB