Magma V2.19-8 Tue Aug 20 2013 23:56:13 on localhost [Seed = 1031492885] Type ? for help. Type -D to quit. Loading file "L14n1569__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n1569 geometric_solution 11.38178609 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 -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 -1 1 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.752337359822 0.979326049759 0 4 6 5 0132 1023 0132 0132 1 1 1 1 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 1 0 0 0 0 0 0 0 0 0 4 -3 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.035848278436 0.976414829850 7 0 8 8 0132 0132 2103 0132 1 0 1 1 0 0 0 0 -2 0 2 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 -1 0 1 -1 0 1 0 1 0 0 -1 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.605485739623 0.813839646000 7 7 8 0 2031 0321 2031 0132 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 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 -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 0.605485739623 0.813839646000 1 9 0 10 1023 0132 0132 0132 1 1 1 1 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 1 -1 1 0 -1 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 0.362258257850 0.542346751722 9 11 1 10 2103 0132 0132 2103 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.115105860120 0.710792055078 11 11 10 1 3012 0213 2103 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 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 0.440320305022 1.471071674436 2 9 3 3 0132 1023 1302 0321 1 0 1 1 0 0 0 0 2 0 -3 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 -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 0.605485739623 0.813839646000 2 9 2 3 2103 1302 0132 1302 1 0 1 1 0 0 0 0 -2 0 0 2 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 -1 1 -1 0 0 1 0 0 0 0 -4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.411548718811 0.790943454207 7 4 5 8 1023 0132 2103 2031 1 1 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 0 0 0 0 0 0 0 0 0 0 0 3 0 -3 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.752337359822 0.979326049759 6 11 4 5 2103 3012 0132 2103 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 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 0.527507064257 0.325504961517 10 5 6 6 1230 0132 0213 1230 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 0 1 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.440320305022 1.471071674436 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : negation(d['c_0011_11']), 'c_1001_5' : d['c_0101_10'], 'c_1001_4' : d['c_0011_8'], 'c_1001_7' : d['c_0101_0'], 'c_1001_6' : d['c_0011_10'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_0110_9'], 'c_1001_3' : d['c_0101_3'], 'c_1001_2' : d['c_0011_8'], 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : d['c_0110_9'], 'c_1010_11' : d['c_0101_10'], 'c_1010_10' : negation(d['c_0011_10']), '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_10'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(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' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : 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_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0110_10']), 'c_1100_4' : negation(d['c_0110_5']), 'c_1100_7' : d['c_0101_3'], 'c_1100_6' : negation(d['c_0110_10']), 'c_1100_1' : negation(d['c_0110_10']), 'c_1100_0' : negation(d['c_0110_5']), 'c_1100_3' : negation(d['c_0110_5']), 'c_1100_2' : d['c_0101_3'], 's_0_10' : d['1'], 'c_1100_9' : negation(d['c_0110_5']), 'c_1100_11' : d['c_0101_1'], 'c_1100_10' : negation(d['c_0110_5']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0110_9'], 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : d['c_0011_10'], 'c_1010_4' : negation(d['c_0011_11']), 'c_1010_3' : d['c_0110_9'], 'c_1010_2' : d['c_0110_9'], 'c_1010_1' : d['c_0101_10'], 'c_1010_0' : d['c_0011_8'], 'c_1010_9' : d['c_0011_8'], 'c_1010_8' : d['c_0110_5'], 'c_1100_8' : d['c_0101_3'], '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' : negation(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' : negation(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_0'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_10'], '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_0011_10'], 'c_0110_10' : d['c_0110_10'], 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_10'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0011_3']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : negation(d['c_0101_3']), '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_3']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(d['c_0011_3']), '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_8, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0110_10, c_0110_5, c_0110_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 3065152678081/1239498067520000*c_0110_9^11 + 260012432679979/4957992270080000*c_0110_9^10 - 128067664083987/619749033760000*c_0110_9^9 + 49373841791547/247899613504000*c_0110_9^8 + 193678538479769/619749033760000*c_0110_9^7 + 294363959125941/619749033760000*c_0110_9^6 - 404761414861107/154937258440000*c_0110_9^5 + 37967130051537/30987451688000*c_0110_9^4 + 67164050277167/38734314610000*c_0110_9^3 + 52552888989319/38734314610000*c_0110_9^2 - 43969499773773/9683578652500*c_0110_9 + 13353071308531/9683578652500, c_0011_0 - 1, c_0011_10 + 7561009053/1983196908032*c_0110_9^11 - 15641415627/1983196908032*c_0110_9^10 - 4718670773/495799227008*c_0110_9^9 + 8936214523/495799227008*c_0110_9^8 + 557626527/3873431461*c_0110_9^7 - 2418583751/247899613504*c_0110_9^6 - 3577790423/30987451688*c_0110_9^5 - 12558475241/61974903376*c_0110_9^4 + 1068326305/7746862922*c_0110_9^3 - 466327559/7746862922*c_0110_9^2 + 2149481146/3873431461*c_0110_9 + 844254755/3873431461, c_0011_11 + 16932233695/3966393816064*c_0110_9^11 - 2517381863/247899613504*c_0110_9^10 - 4928334933/495799227008*c_0110_9^9 + 17425537687/495799227008*c_0110_9^8 + 68824641835/495799227008*c_0110_9^7 - 1771354871/30987451688*c_0110_9^6 - 4635997711/30987451688*c_0110_9^5 - 3972964743/30987451688*c_0110_9^4 + 5734143701/15493725844*c_0110_9^3 + 1171416011/3873431461*c_0110_9^2 + 2305175797/3873431461*c_0110_9 - 1210743578/3873431461, c_0011_3 + 1, c_0011_8 + 1051356917/123949806752*c_0110_9^11 - 18011107707/495799227008*c_0110_9^10 + 18839705569/495799227008*c_0110_9^9 + 22269778957/495799227008*c_0110_9^8 + 4208530521/30987451688*c_0110_9^7 - 25011943637/61974903376*c_0110_9^6 + 7365579797/30987451688*c_0110_9^5 - 11719827665/61974903376*c_0110_9^4 + 4338609521/7746862922*c_0110_9^3 + 1171416011/7746862922*c_0110_9^2 - 784127832/3873431461*c_0110_9 - 4478803250/3873431461, c_0101_0 - 1051356917/123949806752*c_0110_9^11 + 18011107707/495799227008*c_0110_9^10 - 18839705569/495799227008*c_0110_9^9 - 22269778957/495799227008*c_0110_9^8 - 4208530521/30987451688*c_0110_9^7 + 25011943637/61974903376*c_0110_9^6 - 7365579797/30987451688*c_0110_9^5 + 11719827665/61974903376*c_0110_9^4 - 4338609521/7746862922*c_0110_9^3 - 1171416011/7746862922*c_0110_9^2 + 784127832/3873431461*c_0110_9 + 4478803250/3873431461, c_0101_1 + 16932233695/3966393816064*c_0110_9^11 - 2517381863/247899613504*c_0110_9^10 - 4928334933/495799227008*c_0110_9^9 + 17425537687/495799227008*c_0110_9^8 + 68824641835/495799227008*c_0110_9^7 - 1771354871/30987451688*c_0110_9^6 - 4635997711/30987451688*c_0110_9^5 - 3972964743/30987451688*c_0110_9^4 + 5734143701/15493725844*c_0110_9^3 + 1171416011/3873431461*c_0110_9^2 + 2305175797/3873431461*c_0110_9 - 1210743578/3873431461, c_0101_10 + 8976486025/991598454016*c_0110_9^11 - 31234927257/991598454016*c_0110_9^10 + 4426225769/495799227008*c_0110_9^9 + 33360938949/495799227008*c_0110_9^8 + 28748064889/123949806752*c_0110_9^7 - 10552355883/30987451688*c_0110_9^6 - 6378945487/30987451688*c_0110_9^5 - 17415675209/61974903376*c_0110_9^4 + 2829870615/3873431461*c_0110_9^3 + 8124495769/15493725844*c_0110_9^2 + 3282739616/3873431461*c_0110_9 - 5272482556/3873431461, c_0101_3 - 1051356917/123949806752*c_0110_9^11 + 18011107707/495799227008*c_0110_9^10 - 18839705569/495799227008*c_0110_9^9 - 22269778957/495799227008*c_0110_9^8 - 4208530521/30987451688*c_0110_9^7 + 25011943637/61974903376*c_0110_9^6 - 7365579797/30987451688*c_0110_9^5 + 11719827665/61974903376*c_0110_9^4 - 4338609521/7746862922*c_0110_9^3 - 1171416011/7746862922*c_0110_9^2 - 3089303629/3873431461*c_0110_9 + 4478803250/3873431461, c_0110_10 - 10959538551/1983196908032*c_0110_9^11 + 28267265913/991598454016*c_0110_9^10 - 15328637793/495799227008*c_0110_9^9 - 13087107631/247899613504*c_0110_9^8 - 10751895645/247899613504*c_0110_9^7 + 50522948969/123949806752*c_0110_9^6 - 185700799/3873431461*c_0110_9^5 + 254504214/3873431461*c_0110_9^4 - 1225061552/3873431461*c_0110_9^3 - 1765595266/3873431461*c_0110_9^2 + 801233437/7746862922*c_0110_9 + 8183174544/3873431461, c_0110_5 - 1, c_0110_9^12 - 64/13*c_0110_9^11 + 88/13*c_0110_9^10 + 56/13*c_0110_9^9 + 136/13*c_0110_9^8 - 768/13*c_0110_9^7 + 640/13*c_0110_9^6 - 256/13*c_0110_9^5 + 768/13*c_0110_9^4 - 2048/13*c_0110_9 + 2048/13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB