Magma V2.19-8 Wed Aug 21 2013 00:51:21 on localhost [Seed = 3566387616] Type ? for help. Type -D to quit. Loading file "L11a33__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L11a33 geometric_solution 12.17755534 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 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 1 0 -1 0 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 0.323482440507 0.407550989424 0 5 6 2 0132 0132 0132 3120 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.631642109238 0.443266963127 1 0 8 7 3120 0132 0132 0132 0 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 1 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 1.047982426003 0.980912637696 9 10 11 0 0132 0132 0132 0132 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 0 0 0 0 0 0 0 1 0 0 -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 0.236222640223 0.867107897279 6 8 0 5 2310 3012 0132 1023 0 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 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 0.379523227792 1.440603565833 11 1 11 4 0213 0132 1023 1023 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 -1 0 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 0.224112942908 1.176958429256 6 6 4 1 1302 2031 3201 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 0.677397953267 0.646860840711 9 10 2 10 2103 0213 0132 2310 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.640404589676 0.838206191895 4 10 12 2 1230 2310 0132 0132 0 1 1 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 1 -1 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 0.532947008313 0.328567954060 3 12 7 12 0132 3201 2103 3120 1 1 0 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 10 1 -11 -1 0 0 1 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.640404589676 0.838206191895 7 3 7 8 3201 0132 0213 3201 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 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 0.640404589676 0.838206191895 5 12 5 3 0213 2103 1023 0132 0 1 0 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 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 0.224112942908 1.176958429256 9 11 9 8 3120 2103 2310 0132 0 1 0 1 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 1 -1 -1 0 1 0 -1 0 0 1 11 -1 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.640404589676 0.838206191895 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_11'], 'c_1001_10' : d['c_1001_0'], 'c_1001_12' : d['c_0011_11'], 'c_1001_5' : d['c_0011_0'], 'c_1001_4' : negation(d['c_0011_8']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0101_1']), 'c_1001_1' : d['c_0011_6'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0011_8']), 'c_1001_9' : d['c_0011_7'], 'c_1001_8' : negation(d['c_1001_3']), 'c_1010_12' : negation(d['c_1001_3']), 'c_1010_11' : d['c_1001_3'], 'c_1010_10' : d['c_1001_3'], 's_3_11' : negation(d['1']), 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : negation(d['1']), 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_0'], 'c_0101_10' : d['c_0011_7'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : 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' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : negation(d['c_1100_0']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0011_10'], 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0011_10'], 's_0_10' : d['1'], 'c_1100_9' : d['c_0011_7'], 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : negation(d['c_0011_8']), 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_8']), 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : negation(d['c_0011_8']), 'c_1010_9' : negation(d['c_0011_11']), 'c_1010_8' : negation(d['c_0011_8']), 'c_1100_8' : d['c_0011_10'], 's_3_1' : 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' : negation(d['1']), 'c_1100_12' : d['c_0011_10'], '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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], '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' : d['c_0101_3'], 'c_0110_10' : d['c_0011_8'], 'c_0110_12' : d['c_0101_3'], 'c_0101_12' : negation(d['c_0011_7']), 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : d['c_0011_11'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_3'], 's_1_12' : negation(d['1']), 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0101_3']), 'c_0110_4' : d['c_0011_6'], 'c_0110_7' : negation(d['c_0011_7']), 'c_0110_6' : d['c_0101_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_4, c_0011_6, c_0011_7, c_0011_8, c_0101_0, c_0101_1, c_0101_3, c_1001_0, c_1001_3, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 954250036067/10883745300480*c_1100_0^10 + 1063061412697/2176749060096*c_1100_0^9 + 3601928931421/5441872650240*c_1100_0^8 - 4296558490001/2176749060096*c_1100_0^7 + 166038135217/340117040640*c_1100_0^6 + 54855555248437/5441872650240*c_1100_0^5 - 44576427401245/2176749060096*c_1100_0^4 + 117484565779813/5441872650240*c_1100_0^3 - 44220120242539/3627915100160*c_1100_0^2 + 2928917723887/680234081280*c_1100_0 - 1741283284453/2176749060096, c_0011_0 - 1, c_0011_10 + 2606254/3406621*c_1100_0^10 - 14395204/3406621*c_1100_0^9 - 20217339/3406621*c_1100_0^8 + 57323273/3406621*c_1100_0^7 - 14464901/3406621*c_1100_0^6 - 301164036/3406621*c_1100_0^5 + 600596531/3406621*c_1100_0^4 - 621296204/3406621*c_1100_0^3 + 327899052/3406621*c_1100_0^2 - 95465046/3406621*c_1100_0 + 8812661/3406621, c_0011_11 - 2942385/27252968*c_1100_0^10 + 12910579/27252968*c_1100_0^9 + 19151031/13626484*c_1100_0^8 - 23130823/27252968*c_1100_0^7 - 7166203/6813242*c_1100_0^6 + 147509277/13626484*c_1100_0^5 - 310976831/27252968*c_1100_0^4 + 140230383/13626484*c_1100_0^3 - 138138003/27252968*c_1100_0^2 + 28599749/6813242*c_1100_0 - 33319383/27252968, c_0011_4 - 18292895/13626484*c_1100_0^10 + 101889491/13626484*c_1100_0^9 + 67886575/6813242*c_1100_0^8 - 402418581/13626484*c_1100_0^7 + 68926863/6813242*c_1100_0^6 + 523053143/3406621*c_1100_0^5 - 4325918647/13626484*c_1100_0^4 + 2358394181/6813242*c_1100_0^3 - 2689185209/13626484*c_1100_0^2 + 454511437/6813242*c_1100_0 - 113088635/13626484, c_0011_6 + 9432737/54505936*c_1100_0^10 - 52873311/54505936*c_1100_0^9 - 31800279/27252968*c_1100_0^8 + 189899687/54505936*c_1100_0^7 - 8702155/3406621*c_1100_0^6 - 515573487/27252968*c_1100_0^5 + 2342397931/54505936*c_1100_0^4 - 1478739031/27252968*c_1100_0^3 + 1974488459/54505936*c_1100_0^2 - 50507646/3406621*c_1100_0 + 137882499/54505936, c_0011_7 - 33179169/27252968*c_1100_0^10 + 186745877/27252968*c_1100_0^9 + 118740045/13626484*c_1100_0^8 - 753737847/27252968*c_1100_0^7 + 134447105/13626484*c_1100_0^6 + 475360449/3406621*c_1100_0^5 - 8062491861/27252968*c_1100_0^4 + 4393159367/13626484*c_1100_0^3 - 5109247359/27252968*c_1100_0^2 + 830670591/13626484*c_1100_0 - 263650101/27252968, c_0011_8 - 2942385/27252968*c_1100_0^10 + 12910579/27252968*c_1100_0^9 + 19151031/13626484*c_1100_0^8 - 23130823/27252968*c_1100_0^7 - 7166203/6813242*c_1100_0^6 + 147509277/13626484*c_1100_0^5 - 310976831/27252968*c_1100_0^4 + 140230383/13626484*c_1100_0^3 - 138138003/27252968*c_1100_0^2 + 28599749/6813242*c_1100_0 - 33319383/27252968, c_0101_0 - 9004053/13626484*c_1100_0^10 + 53203553/13626484*c_1100_0^9 + 25980359/6813242*c_1100_0^8 - 230169367/13626484*c_1100_0^7 + 53444749/6813242*c_1100_0^6 + 257030120/3406621*c_1100_0^5 - 2447249549/13626484*c_1100_0^4 + 1412453337/6813242*c_1100_0^3 - 1888172639/13626484*c_1100_0^2 + 373791569/6813242*c_1100_0 - 167938281/13626484, c_0101_1 - 7867879/13626484*c_1100_0^10 + 44308675/13626484*c_1100_0^9 + 27451897/6813242*c_1100_0^8 - 173125489/13626484*c_1100_0^7 + 39997061/6813242*c_1100_0^6 + 221889107/3406621*c_1100_0^5 - 1923532523/13626484*c_1100_0^4 + 1115801773/6813242*c_1100_0^3 - 1377589001/13626484*c_1100_0^2 + 256768103/6813242*c_1100_0 - 77837991/13626484, c_0101_3 + 1, c_1001_0 - 1, c_1001_3 + 900673/13626484*c_1100_0^10 - 5339779/13626484*c_1100_0^9 - 3031685/6813242*c_1100_0^8 + 27777267/13626484*c_1100_0^7 - 2627/3406621*c_1100_0^6 - 58146085/6813242*c_1100_0^5 + 238324079/13626484*c_1100_0^4 - 93225699/6813242*c_1100_0^3 + 57630563/13626484*c_1100_0^2 + 5591863/3406621*c_1100_0 - 9303729/13626484, c_1100_0^11 - 6*c_1100_0^10 - 5*c_1100_0^9 + 25*c_1100_0^8 - 17*c_1100_0^7 - 110*c_1100_0^6 + 285*c_1100_0^5 - 363*c_1100_0^4 + 269*c_1100_0^3 - 125*c_1100_0^2 + 35*c_1100_0 - 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.100 Total time: 0.300 seconds, Total memory usage: 32.09MB