Magma V2.19-8 Tue Aug 20 2013 23:38:47 on localhost [Seed = 1663371048] Type ? for help. Type -D to quit. Loading file "K12n13__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n13 geometric_solution 10.02522071 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 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 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 1.198649310259 0.855829565505 0 5 5 4 0132 0132 1023 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.976326928190 0.652003835697 6 0 3 6 0132 0132 3120 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.710154353414 1.106750119326 7 5 2 0 0132 2031 3120 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 1 0 -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 0.011160980085 0.518873207265 1 7 0 8 3012 0213 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 -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 0.824938937774 0.947454920889 3 1 1 7 1302 0132 1023 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.809027604944 0.719421791018 2 2 9 8 0132 1302 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 1 0 -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 0.589319812662 0.640030359818 3 5 4 10 0132 1302 0213 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 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 0.883389896408 1.705782072549 10 9 4 6 1023 3201 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 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 1.101307906042 0.803159224955 10 10 8 6 3120 1023 2310 0132 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 0 0 0 2 -1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.915937920136 1.084904005658 9 8 7 9 1023 1023 0132 3120 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 -1 1 0 0 0 0 0 1 1 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.070993393450 0.916239724903 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0101_8'], 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : d['c_0110_5'], 'c_1001_7' : d['c_0110_5'], 'c_1001_6' : d['c_0101_6'], 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : negation(d['c_0110_5']), 'c_1001_2' : d['c_0110_5'], 'c_1001_9' : d['c_0101_10'], 'c_1001_8' : negation(d['c_0101_9']), 'c_1010_10' : negation(d['c_0011_10']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], '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_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' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0011_10'], 'c_1100_8' : negation(d['c_0101_2']), 'c_1100_5' : negation(d['c_0101_8']), 'c_1100_4' : negation(d['c_0101_2']), 'c_1100_7' : negation(d['c_0101_9']), 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : d['c_0101_8'], 'c_1100_0' : negation(d['c_0101_2']), 'c_1100_3' : negation(d['c_0101_2']), 'c_1100_2' : negation(d['c_0101_10']), 'c_1100_10' : negation(d['c_0101_9']), 'c_1010_7' : d['c_0101_8'], 'c_1010_6' : d['c_0101_10'], 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : negation(d['c_0101_9']), 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0110_5'], 'c_1010_9' : d['c_0101_6'], 'c_1010_8' : negation(d['c_0101_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' : d['1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : 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_10'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], '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_10' : d['c_0101_6'], 'c_0101_7' : d['c_0011_4'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_10'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_4'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_6'], 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0011_4'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : d['c_0101_10'], 'c_0110_6' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0101_1, c_0101_10, c_0101_2, c_0101_6, c_0101_8, c_0101_9, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t - 1005608374512913/4644531141855056*c_0110_5^21 + 3555074878522521/2322265570927528*c_0110_5^20 - 15415633342316559/2322265570927528*c_0110_5^19 + 49153600179165327/2322265570927528*c_0110_5^18 - 248020679123629211/4644531141855056*c_0110_5^17 + 525779361498096833/4644531141855056*c_0110_5^16 - 16440366161195507/80078123135432*c_0110_5^15 + 1516808345502904263/4644531141855056*c_0110_5^14 - 1070414479048008307/2322265570927528*c_0110_5^13 + 2698250410758486705/4644531141855056*c_0110_5^12 - 3068335905750722595/4644531141855056*c_0110_5^11 + 92162390338680511/136603857113384*c_0110_5^10 - 2884745381078402029/4644531141855056*c_0110_5^9 + 2382769519913372181/4644531141855056*c_0110_5^8 - 872157834573285425/2322265570927528*c_0110_5^7 + 1141764428512330331/4644531141855056*c_0110_5^6 - 648260345086193043/4644531141855056*c_0110_5^5 + 316465649745020781/4644531141855056*c_0110_5^4 - 132319108387003957/4644531141855056*c_0110_5^3 + 19598752095356299/2322265570927528*c_0110_5^2 - 6623307865745395/4644531141855056*c_0110_5 + 417426845353505/2322265570927528, c_0011_0 - 1, c_0011_10 + 3/2*c_0110_5^21 - 55/8*c_0110_5^20 + 115/4*c_0110_5^19 - 157/2*c_0110_5^18 + 759/4*c_0110_5^17 - 3007/8*c_0110_5^16 + 5273/8*c_0110_5^15 - 2063/2*c_0110_5^14 + 11449/8*c_0110_5^13 - 7365/4*c_0110_5^12 + 16893/8*c_0110_5^11 - 18061/8*c_0110_5^10 + 8761/4*c_0110_5^9 - 15407/8*c_0110_5^8 + 12697/8*c_0110_5^7 - 4515/4*c_0110_5^6 + 6131/8*c_0110_5^5 - 3545/8*c_0110_5^4 + 1759/8*c_0110_5^3 - 803/8*c_0110_5^2 + 111/4*c_0110_5 - 25/8, c_0011_3 - c_0110_5^2 - 1, c_0011_4 + 3/4*c_0110_5^21 - 13/4*c_0110_5^20 + 13*c_0110_5^19 - 135/4*c_0110_5^18 + 155/2*c_0110_5^17 - 293/2*c_0110_5^16 + 243*c_0110_5^15 - 1455/4*c_0110_5^14 + 1905/4*c_0110_5^13 - 2337/4*c_0110_5^12 + 2531/4*c_0110_5^11 - 1271/2*c_0110_5^10 + 585*c_0110_5^9 - 1875/4*c_0110_5^8 + 1465/4*c_0110_5^7 - 927/4*c_0110_5^6 + 561/4*c_0110_5^5 - 307/4*c_0110_5^4 + 91/4*c_0110_5^3 - 11*c_0110_5^2 - c_0110_5 + 3, c_0101_1 + 1/8*c_0110_5^21 - 1/2*c_0110_5^20 + 2*c_0110_5^19 - 5*c_0110_5^18 + 91/8*c_0110_5^17 - 169/8*c_0110_5^16 + 69/2*c_0110_5^15 - 411/8*c_0110_5^14 + 66*c_0110_5^13 - 647/8*c_0110_5^12 + 691/8*c_0110_5^11 - 343/4*c_0110_5^10 + 635/8*c_0110_5^9 - 491/8*c_0110_5^8 + 49*c_0110_5^7 - 245/8*c_0110_5^6 + 135/8*c_0110_5^5 - 93/8*c_0110_5^4 + 9/8*c_0110_5^3 - 3/4*c_0110_5^2 + 1/8*c_0110_5 + 2, c_0101_10 + 5/8*c_0110_5^21 - 29/8*c_0110_5^20 + 15*c_0110_5^19 - 179/4*c_0110_5^18 + 869/8*c_0110_5^17 - 447/2*c_0110_5^16 + 3167/8*c_0110_5^15 - 5007/8*c_0110_5^14 + 7047/8*c_0110_5^13 - 9007/8*c_0110_5^12 + 2621/2*c_0110_5^11 - 11067/8*c_0110_5^10 + 10783/8*c_0110_5^9 - 2361/2*c_0110_5^8 + 7591/8*c_0110_5^7 - 5509/8*c_0110_5^6 + 1751/4*c_0110_5^5 - 1049/4*c_0110_5^4 + 122*c_0110_5^3 - 417/8*c_0110_5^2 + 121/8*c_0110_5 + 5/8, c_0101_2 + 5/8*c_0110_5^21 - 13/4*c_0110_5^20 + 53/4*c_0110_5^19 - 151/4*c_0110_5^18 + 719/8*c_0110_5^17 - 1441/8*c_0110_5^16 + 1251/4*c_0110_5^15 - 3891/8*c_0110_5^14 + 2685/4*c_0110_5^13 - 6781/8*c_0110_5^12 + 7751/8*c_0110_5^11 - 4039/4*c_0110_5^10 + 7757/8*c_0110_5^9 - 6669/8*c_0110_5^8 + 2653/4*c_0110_5^7 - 3755/8*c_0110_5^6 + 2359/8*c_0110_5^5 - 1381/8*c_0110_5^4 + 617/8*c_0110_5^3 - 127/4*c_0110_5^2 + 67/8*c_0110_5 + 5/4, c_0101_6 - 5/8*c_0110_5^21 + 25/8*c_0110_5^20 - 51/4*c_0110_5^19 + 143/4*c_0110_5^18 - 679/8*c_0110_5^17 + 675/4*c_0110_5^16 - 2333/8*c_0110_5^15 + 3615/8*c_0110_5^14 - 4959/8*c_0110_5^13 + 6253/8*c_0110_5^12 - 888*c_0110_5^11 + 7387/8*c_0110_5^10 - 7071/8*c_0110_5^9 + 3017/4*c_0110_5^8 - 4815/8*c_0110_5^7 + 3355/8*c_0110_5^6 - 1053/4*c_0110_5^5 + 611/4*c_0110_5^4 - 127/2*c_0110_5^3 + 221/8*c_0110_5^2 - 37/8*c_0110_5 - 19/8, c_0101_8 - 1/8*c_0110_5^21 + 5/8*c_0110_5^20 - 5/2*c_0110_5^19 + 7*c_0110_5^18 - 131/8*c_0110_5^17 + 65/2*c_0110_5^16 - 445/8*c_0110_5^15 + 687/8*c_0110_5^14 - 939/8*c_0110_5^13 + 1175/8*c_0110_5^12 - 669/4*c_0110_5^11 + 1377/8*c_0110_5^10 - 1321/8*c_0110_5^9 + 563/4*c_0110_5^8 - 883/8*c_0110_5^7 + 637/8*c_0110_5^6 - 95/2*c_0110_5^5 + 57/2*c_0110_5^4 - 55/4*c_0110_5^3 + 23/8*c_0110_5^2 - 23/8*c_0110_5 - 7/8, c_0101_9 + 5/4*c_0110_5^21 - 51/8*c_0110_5^20 + 107/4*c_0110_5^19 - 305/4*c_0110_5^18 + 741/4*c_0110_5^17 - 2985/8*c_0110_5^16 + 5251/8*c_0110_5^15 - 4113/4*c_0110_5^14 + 11425/8*c_0110_5^13 - 3643/2*c_0110_5^12 + 16673/8*c_0110_5^11 - 17575/8*c_0110_5^10 + 8439/4*c_0110_5^9 - 14595/8*c_0110_5^8 + 11729/8*c_0110_5^7 - 2045/2*c_0110_5^6 + 5303/8*c_0110_5^5 - 2989/8*c_0110_5^4 + 1359/8*c_0110_5^3 - 589/8*c_0110_5^2 + 53/4*c_0110_5 + 13/8, c_0110_5^22 - 5*c_0110_5^21 + 21*c_0110_5^20 - 60*c_0110_5^19 + 147*c_0110_5^18 - 300*c_0110_5^17 + 536*c_0110_5^16 - 856*c_0110_5^15 + 1215*c_0110_5^14 - 1586*c_0110_5^13 + 1866*c_0110_5^12 - 2024*c_0110_5^11 + 2012*c_0110_5^10 - 1812*c_0110_5^9 + 1518*c_0110_5^8 - 1128*c_0110_5^7 + 772*c_0110_5^6 - 473*c_0110_5^5 + 245*c_0110_5^4 - 116*c_0110_5^3 + 40*c_0110_5^2 - 7*c_0110_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.360 Total time: 0.560 seconds, Total memory usage: 32.09MB