Magma V2.19-8 Tue Aug 20 2013 23:56:59 on localhost [Seed = 3230050354] Type ? for help. Type -D to quit. Loading file "L14n25902__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n25902 geometric_solution 10.33670135 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 0 1 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 1 -5 4 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 1.039541593593 1.651798980449 0 5 6 3 0132 0132 0132 2031 1 1 1 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 -5 0 5 0 0 0 0 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.727089010128 0.433647001335 7 0 9 8 0132 0132 0132 0132 1 0 1 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 -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 0.427374162608 0.497950932579 3 1 3 0 2031 1302 1302 0132 1 1 1 1 0 0 1 -1 -1 0 1 0 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -5 5 5 0 -5 0 5 -5 0 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.263072964606 0.452433600269 5 6 0 5 0321 1023 0132 3012 1 1 0 0 0 0 1 -1 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 -4 4 -5 0 0 5 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.625680287269 0.661322476739 4 1 4 7 0321 0132 1230 3201 1 0 0 1 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 0 5 -5 0 0 0 0 0 0 0 0 0 5 -1 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.648214568739 1.145221182525 4 7 9 1 1023 3201 3012 0132 1 1 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 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.914992172653 0.411359919153 2 5 6 10 0132 2310 2310 0132 0 0 0 1 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 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 0.562829291867 0.300606271993 9 11 2 10 0213 0132 0132 2310 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 0 0 0 0 0 0 -1 1 0 0 0 0 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.586477145467 0.471923482849 8 6 11 2 0213 1230 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.230819127441 0.647617439070 8 11 7 11 3201 3201 0132 3120 0 0 1 0 0 0 0 0 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 0 -1 1 -1 0 1 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 0.265492339369 1.695290021340 10 8 10 9 3120 0132 2310 0132 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 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 0.265492339369 1.695290021340 ==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_0011_4'], 'c_1001_5' : d['c_0011_3'], 'c_1001_4' : d['c_0101_6'], 'c_1001_7' : negation(d['c_1001_1']), 'c_1001_6' : negation(d['c_0011_9']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_0101_6'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : d['c_1001_0'], 'c_1010_10' : negation(d['c_0011_11']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_4']), 'c_0101_10' : d['c_0101_10'], '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_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_7' : d['c_0011_4'], 'c_1100_6' : negation(d['c_1001_0']), 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0011_10'], 's_3_11' : d['1'], 'c_1100_9' : d['c_0011_10'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : d['c_0011_4'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_4'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : d['c_0101_6'], 'c_1010_9' : d['c_0101_6'], 'c_1010_8' : d['c_0011_11'], 'c_1100_8' : d['c_0011_10'], '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' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_4'], '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' : negation(d['c_0011_11']), 'c_0110_10' : negation(d['c_0011_11']), 'c_0101_7' : d['c_0011_9'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0101_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_11']), 'c_0101_8' : d['c_0011_9'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : negation(d['c_0101_10']), '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_0011_9'], 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_7' : d['c_0101_10'], '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_4, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_6, c_1001_0, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 310141455551/648950806*c_1001_1^11 + 804932039021/648950806*c_1001_1^10 + 582888696358/324475403*c_1001_1^9 + 270238109487/46353629*c_1001_1^8 + 5995314330758/324475403*c_1001_1^7 + 19067370150627/648950806*c_1001_1^6 + 21975188797483/648950806*c_1001_1^5 + 537531342555/11188807*c_1001_1^4 + 22070875482469/324475403*c_1001_1^3 + 20018393466565/324475403*c_1001_1^2 + 18711972701041/648950806*c_1001_1 + 3778506487075/648950806, c_0011_0 - 1, c_0011_10 - 145038/228343*c_1001_1^11 - 366852/228343*c_1001_1^10 - 555507/228343*c_1001_1^9 - 1745581/228343*c_1001_1^8 - 5544388/228343*c_1001_1^7 - 8836327/228343*c_1001_1^6 - 10337520/228343*c_1001_1^5 - 14255521/228343*c_1001_1^4 - 20521780/228343*c_1001_1^3 - 18675376/228343*c_1001_1^2 - 8851599/228343*c_1001_1 - 1579229/228343, c_0011_11 - 316832/228343*c_1001_1^11 - 775185/228343*c_1001_1^10 - 1142749/228343*c_1001_1^9 - 3766786/228343*c_1001_1^8 - 11803736/228343*c_1001_1^7 - 18332879/228343*c_1001_1^6 - 21341266/228343*c_1001_1^5 - 30092687/228343*c_1001_1^4 - 42560644/228343*c_1001_1^3 - 37844325/228343*c_1001_1^2 - 17390007/228343*c_1001_1 - 3057046/228343, c_0011_3 - 268899/228343*c_1001_1^11 - 674510/228343*c_1001_1^10 - 992096/228343*c_1001_1^9 - 6466855/456686*c_1001_1^8 - 20367657/456686*c_1001_1^7 - 16020422/228343*c_1001_1^6 - 37168915/456686*c_1001_1^5 - 52466489/456686*c_1001_1^4 - 74460015/456686*c_1001_1^3 - 33425294/228343*c_1001_1^2 - 30813233/456686*c_1001_1 - 5826693/456686, c_0011_4 + 273424/228343*c_1001_1^11 + 644222/228343*c_1001_1^10 + 921875/228343*c_1001_1^9 + 3171400/228343*c_1001_1^8 + 9922459/228343*c_1001_1^7 + 14892161/228343*c_1001_1^6 + 17032674/228343*c_1001_1^5 + 24744884/228343*c_1001_1^4 + 34826599/228343*c_1001_1^3 + 29591818/228343*c_1001_1^2 + 12667359/228343*c_1001_1 + 2062107/228343, c_0011_9 + 176050/228343*c_1001_1^11 + 445245/228343*c_1001_1^10 + 656536/228343*c_1001_1^9 + 2108197/228343*c_1001_1^8 + 6708335/228343*c_1001_1^7 + 10583150/228343*c_1001_1^6 + 12167356/228343*c_1001_1^5 + 17123961/228343*c_1001_1^4 + 24546134/228343*c_1001_1^3 + 21829146/228343*c_1001_1^2 + 10013630/228343*c_1001_1 + 1685625/228343, c_0101_0 - 1, c_0101_1 + 1, c_0101_10 - 4229/228343*c_1001_1^11 + 22554/228343*c_1001_1^10 + 34694/228343*c_1001_1^9 + 7129/228343*c_1001_1^8 + 169411/228343*c_1001_1^7 + 660445/228343*c_1001_1^6 + 659249/228343*c_1001_1^5 + 599672/228343*c_1001_1^4 + 1465258/228343*c_1001_1^3 + 1950097/228343*c_1001_1^2 + 894933/228343*c_1001_1 + 76793/228343, c_0101_6 - c_1001_1, c_1001_0 + 268899/228343*c_1001_1^11 + 674510/228343*c_1001_1^10 + 992096/228343*c_1001_1^9 + 6466855/456686*c_1001_1^8 + 20367657/456686*c_1001_1^7 + 16020422/228343*c_1001_1^6 + 37168915/456686*c_1001_1^5 + 52466489/456686*c_1001_1^4 + 74460015/456686*c_1001_1^3 + 33425294/228343*c_1001_1^2 + 31269919/456686*c_1001_1 + 5826693/456686, c_1001_1^12 + 3*c_1001_1^11 + 5*c_1001_1^10 + 14*c_1001_1^9 + 44*c_1001_1^8 + 79*c_1001_1^7 + 101*c_1001_1^6 + 135*c_1001_1^5 + 190*c_1001_1^4 + 198*c_1001_1^3 + 127*c_1001_1^2 + 45*c_1001_1 + 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.160 Total time: 0.370 seconds, Total memory usage: 32.09MB