Magma V2.19-8 Wed Aug 21 2013 01:13:57 on localhost [Seed = 3583232873] Type ? for help. Type -D to quit. Loading file "L14n9446__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n9446 geometric_solution 12.21746618 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 1 0132 0132 0132 2031 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 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 0.462620505398 0.668956091663 0 0 5 4 0132 1302 0132 0132 0 0 0 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 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 0.300670401234 1.011240940936 6 0 6 7 0132 0132 3012 0132 0 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 -1 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 0 0.481447978217 1.066732880479 8 7 9 0 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.937141775985 1.343690510264 8 10 1 7 3012 0132 0132 2103 0 0 0 0 0 0 0 0 -1 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 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 0.034738753976 0.742593905366 11 11 7 1 0132 1230 2103 0132 0 0 1 0 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 0 0 0 0 0 0 0 1 0 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 0.368599946835 0.758260823437 2 2 12 9 0132 1230 0132 2031 0 0 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 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 0.368599946835 0.758260823437 5 3 2 4 2103 0132 0132 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.381523349701 0.196311651371 3 12 12 4 0132 2031 0213 1230 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 -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 0.525329120467 1.030991684701 10 6 10 3 0321 1302 2031 0132 0 0 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 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 0.262105927993 0.703257190851 9 4 11 9 0321 0132 2310 1302 0 1 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 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 0.534671049885 1.248525482755 5 10 5 12 0132 3201 3012 1302 0 0 0 1 0 0 0 0 -1 0 0 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 -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 0.481447978217 1.066732880479 8 8 11 6 1302 0213 2031 0132 0 0 0 0 0 1 0 -1 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 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.869022839000 1.106312983751 ==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_10'], 'c_1001_12' : negation(d['c_0101_5']), 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0110_4'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_1001_10']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_0011_9'], 'c_1001_8' : negation(d['c_0101_5']), 'c_1010_12' : d['c_0110_4'], 'c_1010_11' : negation(d['c_1001_10']), 'c_1010_10' : d['c_1001_4'], 's_3_11' : d['1'], 's_0_11' : negation(d['1']), 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_1'], 'c_0101_10' : negation(d['c_0011_11']), 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(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' : negation(d['1']), 's_2_11' : 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' : negation(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_1100_8' : d['c_0110_4'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0110_7']), 'c_1100_4' : negation(d['c_0110_7']), 'c_1100_7' : negation(d['c_0110_4']), 'c_1100_6' : d['c_1001_10'], 'c_1100_1' : negation(d['c_0110_7']), 'c_1100_0' : negation(d['c_1001_4']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : negation(d['c_0110_4']), 's_0_10' : d['1'], 'c_1100_11' : d['c_0011_3'], 'c_1100_10' : d['c_0011_11'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_1001_10']), 'c_1010_6' : d['c_0011_9'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_1001_10']), 'c_1010_8' : d['c_0011_12'], 's_3_1' : negation(d['1']), 's_3_0' : 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_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_1001_10'], 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : negation(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_3']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : 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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_5'], 'c_0110_10' : negation(d['c_0011_9']), 'c_0110_12' : d['c_0101_5'], 'c_0101_12' : d['c_0011_3'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_5'], 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_12'], 'c_0101_3' : negation(d['c_0011_10']), 'c_0101_2' : d['c_0011_9'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_12'], 'c_0101_9' : d['c_0011_11'], 'c_0101_8' : d['c_0011_12'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : negation(d['1']), 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0011_12'], 'c_1100_9' : negation(d['c_1001_4']), 'c_0110_3' : d['c_0011_12'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0110_7'], 'c_0110_6' : d['c_0011_9']})} 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_3, c_0011_9, c_0101_1, c_0101_5, c_0110_4, c_0110_7, c_1001_0, c_1001_10, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 36440989/399040*c_1001_4^9 + 400812667/399040*c_1001_4^8 - 33850941997/6384640*c_1001_4^7 + 108986949727/6384640*c_1001_4^6 - 59184039321/1596160*c_1001_4^5 + 45172507011/798080*c_1001_4^4 - 24479494831/399040*c_1001_4^3 + 9318346071/199520*c_1001_4^2 - 2328647131/99760*c_1001_4 + 144979819/24940, c_0011_0 - 1, c_0011_10 + 1095/1376*c_1001_4^9 - 2859/344*c_1001_4^8 + 920439/22016*c_1001_4^7 - 351489/2752*c_1001_4^6 + 180649/688*c_1001_4^5 - 259467/688*c_1001_4^4 + 262883/688*c_1001_4^3 - 11603/43*c_1001_4^2 + 5256/43*c_1001_4 - 1068/43, c_0011_11 + 1059/172*c_1001_4^9 - 45939/688*c_1001_4^8 + 957995/2752*c_1001_4^7 - 12181523/11008*c_1001_4^6 + 13066937/5504*c_1001_4^5 - 615451/172*c_1001_4^4 + 329163/86*c_1001_4^3 - 989023/344*c_1001_4^2 + 242737/172*c_1001_4 - 14639/43, c_0011_12 - 1, c_0011_3 + 2101/1376*c_1001_4^9 - 11563/688*c_1001_4^8 + 1950533/22016*c_1001_4^7 - 3131845/11008*c_1001_4^6 + 423445/688*c_1001_4^5 - 321521/344*c_1001_4^4 + 692267/688*c_1001_4^3 - 261603/344*c_1001_4^2 + 16208/43*c_1001_4 - 3971/43, c_0011_9 - 3459/1376*c_1001_4^9 + 19463/688*c_1001_4^8 - 3347891/22016*c_1001_4^7 + 5484797/11008*c_1001_4^6 - 6052115/5504*c_1001_4^5 + 586517/344*c_1001_4^4 - 1291029/688*c_1001_4^3 + 499323/344*c_1001_4^2 - 127275/172*c_1001_4 + 8187/43, c_0101_1 - 797/344*c_1001_4^9 + 1086/43*c_1001_4^8 - 728525/5504*c_1001_4^7 + 582249/1376*c_1001_4^6 - 2512781/2752*c_1001_4^5 + 1904989/1376*c_1001_4^4 - 64107/43*c_1001_4^3 + 194085/172*c_1001_4^2 - 48209/86*c_1001_4 + 5962/43, c_0101_5 + 787/1376*c_1001_4^9 - 1113/172*c_1001_4^8 + 767299/22016*c_1001_4^7 - 628037/5504*c_1001_4^6 + 1379841/5504*c_1001_4^5 - 132619/344*c_1001_4^4 + 288193/688*c_1001_4^3 - 27369/86*c_1001_4^2 + 27245/172*c_1001_4 - 1666/43, c_0110_4 + 2101/1376*c_1001_4^9 - 11563/688*c_1001_4^8 + 1950533/22016*c_1001_4^7 - 3131845/11008*c_1001_4^6 + 423445/688*c_1001_4^5 - 321521/344*c_1001_4^4 + 692267/688*c_1001_4^3 - 261603/344*c_1001_4^2 + 16208/43*c_1001_4 - 3971/43, c_0110_7 + 79/344*c_1001_4^9 - 411/172*c_1001_4^8 + 66719/5504*c_1001_4^7 - 103689/2752*c_1001_4^6 + 219017/2752*c_1001_4^5 - 162483/1376*c_1001_4^4 + 21311/172*c_1001_4^3 - 15545/172*c_1001_4^2 + 3627/86*c_1001_4 - 414/43, c_1001_0 + 79/344*c_1001_4^9 - 411/172*c_1001_4^8 + 66719/5504*c_1001_4^7 - 103689/2752*c_1001_4^6 + 219017/2752*c_1001_4^5 - 162483/1376*c_1001_4^4 + 21311/172*c_1001_4^3 - 15545/172*c_1001_4^2 + 3627/86*c_1001_4 - 414/43, c_1001_10 - 2559/1376*c_1001_4^9 + 7045/344*c_1001_4^8 - 2379311/22016*c_1001_4^7 + 478381/1376*c_1001_4^6 - 2075215/2752*c_1001_4^5 + 790797/688*c_1001_4^4 - 855391/688*c_1001_4^3 + 81203/86*c_1001_4^2 - 40399/86*c_1001_4 + 4976/43, c_1001_4^10 - 12*c_1001_4^9 + 1105/16*c_1001_4^8 - 245*c_1001_4^7 + 593*c_1001_4^6 - 1026*c_1001_4^5 + 1292*c_1001_4^4 - 1184*c_1001_4^3 + 768*c_1001_4^2 - 320*c_1001_4 + 64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.270 Total time: 0.480 seconds, Total memory usage: 32.09MB