Magma V2.19-8 Tue Aug 20 2013 23:56:03 on localhost [Seed = 1646529093] Type ? for help. Type -D to quit. Loading file "L14n14076__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n14076 geometric_solution 11.05976687 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 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 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 -0.406717830453 1.263639881587 0 5 7 6 0132 0132 0132 0132 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.230800501207 0.717078761192 5 0 7 8 0132 0132 2310 0132 1 0 1 1 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 -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 0.230800501207 0.717078761192 6 9 10 0 3201 0132 0132 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 0 0 0 0 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.079271894071 1.082995618335 11 5 0 10 0132 2310 0132 0132 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 0 0 0 0 0 0 0 0 1 -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 -0.025379194497 0.615854314516 2 1 9 4 0132 0132 0132 3201 1 0 1 1 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 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 -0.406717830453 1.263639881587 11 8 1 3 3120 2103 0132 2310 1 1 1 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 0 0 0 0 0 0 0 0 0 0 -1 0 -3 4 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.271433598955 0.725820140287 10 2 9 1 0213 3201 3201 0132 1 1 1 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 0 0 0 -3 0 0 3 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.996005875314 1.057616334830 10 6 2 11 1302 2103 0132 1302 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 0 0 0 0 -1 1 0 0 0 0 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.271433598955 0.725820140287 7 3 11 5 2310 0132 2310 0132 1 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 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 0 0 0 0.079271894071 1.082995618335 7 8 4 3 0213 2031 0132 0132 1 1 1 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 3 1 0 -4 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.310504228169 1.081801917148 4 9 8 6 0132 3201 2031 3120 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 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 0.310504228169 1.081801917148 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_2']), 'c_1001_10' : negation(d['c_0101_2']), 'c_1001_5' : d['c_0011_8'], 'c_1001_4' : negation(d['c_1001_1']), 'c_1001_7' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0011_8'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : d['c_0011_8'], 'c_1001_2' : negation(d['c_1001_1']), 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : d['c_0011_6'], 'c_1010_11' : negation(d['c_0011_6']), 'c_1010_10' : d['c_0011_8'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_7'], 'c_0101_10' : d['c_0011_7'], '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' : d['c_0011_11'], 'c_1100_8' : d['c_0011_7'], 'c_1100_5' : d['c_0011_11'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0011_3'], 'c_1100_6' : d['c_0011_3'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0011_7'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0101_0']), 'c_1100_10' : d['c_1100_0'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : negation(d['c_0101_0']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : d['c_0011_8'], 'c_1010_0' : negation(d['c_1001_1']), 'c_1010_9' : d['c_0011_8'], 'c_1010_8' : d['c_0101_0'], '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' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_1'], 'c_0110_10' : negation(d['c_0101_1']), 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_10']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_2'], 'c_0101_8' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_10']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0011_7'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_1']})} 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_6, c_0011_7, c_0011_8, c_0101_0, c_0101_1, c_0101_2, c_1001_1, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 84740345219676464/5460648231225*c_1100_0^11 - 53130015016778464/1092129646245*c_1100_0^10 + 44478762080702072/496422566475*c_1100_0^9 - 695014591862309938/5460648231225*c_1100_0^8 + 258228415170920648/1820216077075*c_1100_0^7 - 92316456719795873/728086430830*c_1100_0^6 + 2070208160893209341/21842592924900*c_1100_0^5 - 53744184537710527/992845132950*c_1100_0^4 + 434594151459782581/21842592924900*c_1100_0^3 - 26952638526301891/11649382893280*c_1100_0^2 - 175871029942235489/87370371699600*c_1100_0 + 185095112029914847/174740743399200, c_0011_0 - 1, c_0011_10 - 1202219468/44028609*c_1100_0^11 + 3008169128/44028609*c_1100_0^10 - 5012337178/44028609*c_1100_0^9 + 13463099657/88057218*c_1100_0^8 - 2321418620/14676203*c_1100_0^7 + 15907897269/117409624*c_1100_0^6 - 69601269029/704457744*c_1100_0^5 + 18843019439/352228872*c_1100_0^4 - 14713872217/704457744*c_1100_0^3 + 12956517999/1878553984*c_1100_0^2 - 7319235229/2817830976*c_1100_0 + 6307859885/5635661952, c_0011_11 - 1217824268/44028609*c_1100_0^11 + 3532981928/44028609*c_1100_0^10 - 6033433210/44028609*c_1100_0^9 + 17061223865/88057218*c_1100_0^8 - 3053304012/14676203*c_1100_0^7 + 21763707301/117409624*c_1100_0^6 - 99498768341/704457744*c_1100_0^5 + 29425881359/352228872*c_1100_0^4 - 25184915113/704457744*c_1100_0^3 + 20814662847/1878553984*c_1100_0^2 - 4793598013/2817830976*c_1100_0 + 6973487741/5635661952, c_0011_3 - 29676896/44028609*c_1100_0^11 - 476855104/44028609*c_1100_0^10 + 929646896/44028609*c_1100_0^9 - 1444196348/44028609*c_1100_0^8 + 615665264/14676203*c_1100_0^7 - 559240819/14676203*c_1100_0^6 + 2636904059/88057218*c_1100_0^5 - 892122083/44028609*c_1100_0^4 + 638928331/88057218*c_1100_0^3 - 367993497/234819248*c_1100_0^2 + 207395089/352228872*c_1100_0 - 421774967/704457744, c_0011_6 + 369965696/14676203*c_1100_0^11 - 975000384/14676203*c_1100_0^10 + 1598666240/14676203*c_1100_0^9 - 2188161296/14676203*c_1100_0^8 + 2261457720/14676203*c_1100_0^7 - 1930632908/14676203*c_1100_0^6 + 1423875336/14676203*c_1100_0^5 - 766995145/14676203*c_1100_0^4 + 273578203/14676203*c_1100_0^3 - 295196987/58704812*c_1100_0^2 + 46188107/117409624*c_1100_0 - 80629929/117409624, c_0011_7 - 1001969908/44028609*c_1100_0^11 + 2317020376/44028609*c_1100_0^10 - 3558564230/44028609*c_1100_0^9 + 9196711687/88057218*c_1100_0^8 - 1469611428/14676203*c_1100_0^7 + 9126419227/117409624*c_1100_0^6 - 37193263915/704457744*c_1100_0^5 + 7389885601/352228872*c_1100_0^4 - 1078592375/704457744*c_1100_0^3 - 1922055679/1878553984*c_1100_0^2 + 2576568877/2817830976*c_1100_0 + 766985443/5635661952, c_0011_8 + 369965696/14676203*c_1100_0^11 - 975000384/14676203*c_1100_0^10 + 1598666240/14676203*c_1100_0^9 - 2188161296/14676203*c_1100_0^8 + 2261457720/14676203*c_1100_0^7 - 1930632908/14676203*c_1100_0^6 + 1423875336/14676203*c_1100_0^5 - 766995145/14676203*c_1100_0^4 + 273578203/14676203*c_1100_0^3 - 295196987/58704812*c_1100_0^2 + 46188107/117409624*c_1100_0 - 80629929/117409624, c_0101_0 + 11930656/14676203*c_1100_0^11 - 168087872/14676203*c_1100_0^10 + 414294896/14676203*c_1100_0^9 - 649089804/14676203*c_1100_0^8 + 828028720/14676203*c_1100_0^7 - 818266517/14676203*c_1100_0^6 + 1301385823/29352406*c_1100_0^5 - 431256587/14676203*c_1100_0^4 + 408199551/29352406*c_1100_0^3 - 785593407/234819248*c_1100_0^2 + 26435769/117409624*c_1100_0 - 77184883/234819248, c_0101_1 + 338111768/44028609*c_1100_0^11 - 801160976/44028609*c_1100_0^10 + 1413325108/44028609*c_1100_0^9 - 1688505721/44028609*c_1100_0^8 + 550219632/14676203*c_1100_0^7 - 1651970085/58704812*c_1100_0^6 + 5527891237/352228872*c_1100_0^5 - 971559451/176114436*c_1100_0^4 - 393755551/352228872*c_1100_0^3 + 2660642977/939276992*c_1100_0^2 - 176040127/1408915488*c_1100_0 - 15893509/2817830976, c_0101_2 - 1, c_1001_1 - 37479296/44028609*c_1100_0^11 - 214448704/44028609*c_1100_0^10 + 419098880/44028609*c_1100_0^9 - 544665296/44028609*c_1100_0^8 + 249722568/14676203*c_1100_0^7 - 193252692/14676203*c_1100_0^6 + 384155176/44028609*c_1100_0^5 - 230693213/44028609*c_1100_0^4 - 7755925/44028609*c_1100_0^3 + 148194763/58704812*c_1100_0^2 - 339210329/352228872*c_1100_0 + 162142259/352228872, c_1100_0^12 - 3*c_1100_0^11 + 11/2*c_1100_0^10 - 63/8*c_1100_0^9 + 71/8*c_1100_0^8 - 261/32*c_1100_0^7 + 409/64*c_1100_0^6 - 253/64*c_1100_0^5 + 117/64*c_1100_0^4 - 311/512*c_1100_0^3 + 73/512*c_1100_0^2 - 21/512*c_1100_0 + 11/512 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.130 Total time: 0.340 seconds, Total memory usage: 32.09MB