Magma V2.19-8 Wed Aug 21 2013 01:06:00 on localhost [Seed = 104865442] Type ? for help. Type -D to quit. Loading file "L14n3018__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n3018 geometric_solution 11.36375264 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 1 2 2 0132 1230 0132 2031 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 -1 0 1 0 0 0 0 10 -9 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.684775933477 1.245427813427 0 3 0 4 0132 0132 3012 0132 1 1 1 1 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 -1 1 0 0 -10 1 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.661003442542 0.616545822763 4 0 5 0 0132 1302 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 0 0 0 0 0 0 0 0 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.661003442542 0.616545822763 6 1 7 8 0132 0132 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 0 0 0 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 0.424350829603 0.573392945006 2 9 1 10 0132 0132 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 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 1.319294161721 0.347099848281 11 9 10 2 0132 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.328555903836 0.295601912818 3 8 12 11 0132 2103 0132 0321 0 1 1 1 0 3 -1 -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 2 -1 -1 0 0 0 0 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.583032084343 0.563416975892 9 9 10 3 2310 1302 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.476820071193 0.812866429147 11 6 3 12 3201 2103 0132 1302 1 1 0 1 0 0 0 0 0 0 0 0 2 -3 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 0 1 1 -2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.151298340795 1.146785890013 5 4 7 7 1302 0132 3201 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.705148737494 0.294897884206 12 7 4 5 0213 3201 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 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 0.686485317473 0.874500463904 5 6 12 8 0132 0321 0213 2310 0 1 1 1 0 2 0 -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 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 0.113077216516 0.857083796827 10 11 8 6 0213 0213 2031 0132 0 1 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 0 0 0 0 -1 1 0 0 0 0 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.113077216516 0.857083796827 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0110_8']), 'c_1001_10' : negation(d['c_0101_7']), 'c_1001_12' : negation(d['c_0110_8']), 'c_1001_5' : negation(d['c_0110_9']), 'c_1001_4' : d['c_0011_7'], 'c_1001_7' : d['c_0110_9'], 'c_1001_6' : d['c_0011_8'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_7'], 'c_1001_2' : d['c_0011_2'], 'c_1001_9' : negation(d['c_0101_7']), 'c_1001_8' : negation(d['c_0011_0']), 'c_1010_12' : d['c_0011_8'], 'c_1010_11' : negation(d['c_0110_8']), 'c_1010_10' : negation(d['c_0110_9']), 's_0_10' : d['1'], 's_0_11' : negation(d['1']), 's_0_12' : d['1'], 's_3_12' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_12'], 'c_0101_10' : d['c_0011_12'], 's_2_0' : negation(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' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : negation(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' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(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_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1001_0']), 'c_1100_4' : negation(d['c_1001_0']), 'c_1100_7' : d['c_0011_10'], 'c_1100_6' : negation(d['c_0110_8']), 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : negation(d['c_1001_0']), 'c_1100_3' : d['c_0011_10'], 'c_1100_2' : negation(d['c_1001_0']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_8'], 'c_1100_10' : negation(d['c_1001_0']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_7'], 'c_1010_6' : negation(d['c_0110_8']), 'c_1010_5' : d['c_0011_2'], 'c_1010_4' : negation(d['c_0101_7']), 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_7'], 'c_1010_0' : d['c_0011_2'], 'c_1010_9' : d['c_0011_7'], 'c_1010_8' : d['c_0110_8'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : negation(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_0110_8']), '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' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_2'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_0']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : d['c_0011_2'], 'c_0110_11' : d['c_0101_5'], 'c_0110_10' : d['c_0101_5'], 'c_0110_12' : negation(d['c_0101_5']), 'c_0101_12' : d['c_0011_10'], 'c_0110_0' : d['c_0011_2'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0101_5']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_11']), 'c_0101_2' : d['c_0011_12'], 'c_0101_1' : d['c_0011_2'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_11'], 'c_0101_8' : negation(d['c_0101_5']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_7']), 'c_0110_3' : negation(d['c_0101_5']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_12'], 'c_0110_4' : d['c_0011_12'], 'c_0110_7' : negation(d['c_0011_11']), 'c_0110_6' : negation(d['c_0011_11'])})} 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_12, c_0011_2, c_0011_7, c_0011_8, c_0101_0, c_0101_5, c_0101_7, c_0110_8, c_0110_9, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 2960669590361874573294305/36107144577751021984192*c_1001_0^13 + 41477667191930105583923/564174134027359718503*c_1001_0^12 + 2333776107025644765469017/9026786144437755496048*c_1001_0^11 - 4118106002195079265846171/9026786144437755496048*c_1001_0^10 - 21366114187110208645923343/18053572288875510992096*c_1001_0^9 + 880471363717559478217981/2256696536109438874012*c_1001_0^8 + 19553864728427931543278919/9026786144437755496048*c_1001_0^7 + 2253410092876019939618591/4513393072218877748024*c_1001_0^6 - 68666839969453238647878985/36107144577751021984192*c_1001_0^5 - 632659730723294956829248/564174134027359718503*c_1001_0^4 + 5306460649978120481383401/9026786144437755496048*c_1001_0^3 + 2230196840689596453128193/4513393072218877748024*c_1001_0^2 - 2341325852277415360678793/36107144577751021984192*c_1001_0 - 298082297661252111785953/4513393072218877748024, c_0011_0 - 1, c_0011_10 + 2092049360/4881991*c_1001_0^13 - 1877789439/4881991*c_1001_0^12 - 6575616648/4881991*c_1001_0^11 + 11614329774/4881991*c_1001_0^10 + 30155808900/4881991*c_1001_0^9 - 9866320992/4881991*c_1001_0^8 - 55094447756/4881991*c_1001_0^7 - 12856565245/4881991*c_1001_0^6 + 48236948164/4881991*c_1001_0^5 + 28611913071/4881991*c_1001_0^4 - 14762434244/4881991*c_1001_0^3 - 12522422335/4881991*c_1001_0^2 + 1598421228/4881991*c_1001_0 + 1660654141/4881991, c_0011_11 + 1560392690/4881991*c_1001_0^13 - 1401743171/4881991*c_1001_0^12 - 4924905956/4881991*c_1001_0^11 + 8703464566/4881991*c_1001_0^10 + 22518531992/4881991*c_1001_0^9 - 7517458984/4881991*c_1001_0^8 - 41266686592/4881991*c_1001_0^7 - 9332146077/4881991*c_1001_0^6 + 36311725286/4881991*c_1001_0^5 + 21207487003/4881991*c_1001_0^4 - 11325816888/4881991*c_1001_0^3 - 9368889183/4881991*c_1001_0^2 + 1276341718/4881991*c_1001_0 + 1252055961/4881991, c_0011_12 - 1, c_0011_2 + 65845900/4881991*c_1001_0^13 - 65813330/4881991*c_1001_0^12 - 196059632/4881991*c_1001_0^11 + 376804454/4881991*c_1001_0^10 + 906209504/4881991*c_1001_0^9 - 370987733/4881991*c_1001_0^8 - 1670847224/4881991*c_1001_0^7 - 296439536/4881991*c_1001_0^6 + 1498330504/4881991*c_1001_0^5 + 805988672/4881991*c_1001_0^4 - 487592720/4881991*c_1001_0^3 - 368049055/4881991*c_1001_0^2 + 57347456/4881991*c_1001_0 + 53165667/4881991, c_0011_7 + 412259675/4881991*c_1001_0^13 - 383662800/4881991*c_1001_0^12 - 1275922068/4881991*c_1001_0^11 + 2322441272/4881991*c_1001_0^10 + 5847090936/4881991*c_1001_0^9 - 2094333984/4881991*c_1001_0^8 - 10698706458/4881991*c_1001_0^7 - 2231636024/4881991*c_1001_0^6 + 9422379952/4881991*c_1001_0^5 + 5323244200/4881991*c_1001_0^4 - 2942863732/4881991*c_1001_0^3 - 2326648224/4881991*c_1001_0^2 + 338842095/4881991*c_1001_0 + 304765752/4881991, c_0011_8 - 1, c_0101_0 + 120709190/4881991*c_1001_0^13 - 114129576/4881991*c_1001_0^12 - 368739754/4881991*c_1001_0^11 + 678896392/4881991*c_1001_0^10 + 1699393614/4881991*c_1001_0^9 - 616507448/4881991*c_1001_0^8 - 3105436939/4881991*c_1001_0^7 - 646769224/4881991*c_1001_0^6 + 2734765174/4881991*c_1001_0^5 + 1543541084/4881991*c_1001_0^4 - 854272348/4881991*c_1001_0^3 - 671215504/4881991*c_1001_0^2 + 107370828/4881991*c_1001_0 + 87503572/4881991, c_0101_5 - 2175672085/4881991*c_1001_0^13 + 1947911144/4881991*c_1001_0^12 + 6877183052/4881991*c_1001_0^11 - 12118238184/4881991*c_1001_0^10 - 31442042548/4881991*c_1001_0^9 + 10397792840/4881991*c_1001_0^8 + 57629311340/4881991*c_1001_0^7 + 13220918748/4881991*c_1001_0^6 - 50682100817/4881991*c_1001_0^5 - 29820230920/4881991*c_1001_0^4 + 15755936916/4881991*c_1001_0^3 + 13214169768/4881991*c_1001_0^2 - 1746205733/4881991*c_1001_0 - 1767105936/4881991, c_0101_7 - 152913030/4881991*c_1001_0^13 + 142399432/4881991*c_1001_0^12 + 477342940/4881991*c_1001_0^11 - 866971020/4881991*c_1001_0^10 - 2177547700/4881991*c_1001_0^9 + 803384449/4881991*c_1001_0^8 + 4012902512/4881991*c_1001_0^7 + 798294981/4881991*c_1001_0^6 - 3567369106/4881991*c_1001_0^5 - 1971971190/4881991*c_1001_0^4 + 1143451936/4881991*c_1001_0^3 + 877764325/4881991*c_1001_0^2 - 132598402/4881991*c_1001_0 - 111738203/4881991, c_0110_8 + 322825/863*c_1001_0^13 - 289865/863*c_1001_0^12 - 1016486/863*c_1001_0^11 + 1795810/863*c_1001_0^10 + 4655678/863*c_1001_0^9 - 1536484/863*c_1001_0^8 - 8516982/863*c_1001_0^7 - 1961173/863*c_1001_0^6 + 7472925/863*c_1001_0^5 + 4403341/863*c_1001_0^4 - 2305838/863*c_1001_0^3 - 1934887/863*c_1001_0^2 + 254089/863*c_1001_0 + 257443/863, c_0110_9 + 1958642530/4881991*c_1001_0^13 - 1734848352/4881991*c_1001_0^12 - 6223995932/4881991*c_1001_0^11 + 10877590048/4881991*c_1001_0^10 + 28441795518/4881991*c_1001_0^9 - 9212851556/4881991*c_1001_0^8 - 52106557855/4881991*c_1001_0^7 - 12175147632/4881991*c_1001_0^6 + 45764970526/4881991*c_1001_0^5 + 27101003864/4881991*c_1001_0^4 - 14185052781/4881991*c_1001_0^3 - 11961709416/4881991*c_1001_0^2 + 1566125626/4881991*c_1001_0 + 1591867504/4881991, c_1001_0^14 - 2/5*c_1001_0^13 - 18/5*c_1001_0^12 + 4*c_1001_0^11 + 86/5*c_1001_0^10 + 12/5*c_1001_0^9 - 144/5*c_1001_0^8 - 96/5*c_1001_0^7 + 101/5*c_1001_0^6 + 126/5*c_1001_0^5 - 2/5*c_1001_0^4 - 48/5*c_1001_0^3 - 11/5*c_1001_0^2 + 6/5*c_1001_0 + 2/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.150 Total time: 0.360 seconds, Total memory usage: 32.09MB