Magma V2.19-8 Tue Aug 20 2013 23:53:32 on localhost [Seed = 3802433822] Type ? for help. Type -D to quit. Loading file "K12n394__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n394 geometric_solution 12.31372760 oriented_manifold CS_known -0.0000000000000009 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 1 -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 1 -1 -1 0 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 0.737586245866 0.928159870150 0 5 7 6 0132 0132 0132 0132 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 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 1.038983139450 1.064163773736 8 0 9 4 0132 0132 0132 0213 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 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 0.410020666495 0.547468897960 5 8 8 0 0132 0132 0321 0132 0 0 0 0 0 0 0 0 0 0 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 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 0.488314356945 0.969224398403 5 10 0 2 3120 0132 0132 0213 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 -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 0.712595529877 0.434175704306 3 1 7 4 0132 0132 2103 3120 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.084597534982 0.698877181812 9 11 1 12 0321 0132 0132 0132 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 -1 0 1 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 0.309587796824 0.729995684027 5 12 9 1 2103 0132 0321 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.522359372932 0.662481608957 2 3 3 11 0132 0132 0321 1230 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 -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 0.488314356945 0.969224398403 6 10 7 2 0321 0321 0321 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 0.499037839728 0.614991316479 11 4 12 9 2103 0132 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.503305545126 0.821175141083 8 6 10 12 3012 0132 2103 3120 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 1 0 -1 -1 0 0 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 -0.460720822252 0.891579623097 11 7 6 10 3120 0132 0132 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 -1 1 -1 0 1 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 0.539279177748 0.891579623097 ==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' : d['c_1001_10'], 'c_1001_12' : d['c_0011_10'], 'c_1001_5' : negation(d['c_0011_12']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_10'], 'c_1001_6' : negation(d['c_0011_12']), 'c_1001_1' : d['c_0011_10'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_10'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_9'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_1001_10'], 'c_1010_11' : negation(d['c_0011_12']), 'c_1010_10' : d['c_1001_2'], 's_3_11' : d['1'], 's_0_11' : 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_10'], '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_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_1100_9' : d['c_1001_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_1']), 'c_1100_4' : d['c_1001_0'], 'c_1100_7' : d['c_1001_9'], 'c_1100_6' : d['c_1001_9'], 'c_1100_1' : d['c_1001_9'], 'c_1100_0' : d['c_1001_0'], 'c_1100_3' : d['c_1001_0'], 'c_1100_2' : d['c_1001_10'], 's_0_10' : d['1'], 'c_1100_11' : d['c_0011_9'], 'c_1100_10' : d['c_1001_9'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : d['c_0011_10'], 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_12']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_0101_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'], 'c_1100_12' : d['c_1001_9'], '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' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_12']), 'c_0110_6' : negation(d['c_0011_9']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_10'], 'c_0110_10' : negation(d['c_0011_9']), 'c_0110_12' : d['c_0101_10'], 'c_0101_12' : negation(d['c_0011_9']), 'c_0110_0' : d['c_0101_1'], 'c_0011_6' : negation(d['c_0011_11']), 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_0']), 'c_0101_8' : negation(d['c_0101_3']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_11'], 'c_0110_8' : d['c_0011_11'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_3'], 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : d['c_0101_10']})} 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_9, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_1001_0, c_1001_10, c_1001_2, c_1001_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 8861906295179/2550900681891*c_1001_9^9 - 42604047662533/2550900681891*c_1001_9^8 + 371522863393783/2550900681891*c_1001_9^7 - 194125719632278/850300227297*c_1001_9^6 + 27000968787581/850300227297*c_1001_9^5 + 10872875147681/2550900681891*c_1001_9^4 - 118083695574068/2550900681891*c_1001_9^3 - 15523522647553/2550900681891*c_1001_9^2 - 68652672975070/2550900681891*c_1001_9 - 4451376796523/2550900681891, c_0011_0 - 1, c_0011_10 + 502653235/1085951759*c_1001_9^9 - 2461634189/1085951759*c_1001_9^8 + 2550466967/1085951759*c_1001_9^7 + 2956555258/1085951759*c_1001_9^6 - 3959295252/1085951759*c_1001_9^5 + 901823611/1085951759*c_1001_9^4 - 314497991/1085951759*c_1001_9^3 - 1981393695/1085951759*c_1001_9^2 + 729083237/1085951759*c_1001_9 + 891756091/1085951759, c_0011_11 - 431493650/1085951759*c_1001_9^9 + 1850390521/1085951759*c_1001_9^8 - 930118935/1085951759*c_1001_9^7 - 4381763042/1085951759*c_1001_9^6 + 4736547499/1085951759*c_1001_9^5 - 2376161388/1085951759*c_1001_9^4 - 392531575/1085951759*c_1001_9^3 + 2385432915/1085951759*c_1001_9^2 - 1439941102/1085951759*c_1001_9 - 848041808/1085951759, c_0011_12 + 371373912/1085951759*c_1001_9^9 - 1759166549/1085951759*c_1001_9^8 + 2003050268/1085951759*c_1001_9^7 + 656795407/1085951759*c_1001_9^6 - 788264335/1085951759*c_1001_9^5 + 702214477/1085951759*c_1001_9^4 + 680225893/1085951759*c_1001_9^3 - 1424242193/1085951759*c_1001_9^2 + 965533147/1085951759*c_1001_9 + 661985032/1085951759, c_0011_9 + 426358184/1085951759*c_1001_9^9 - 2395440390/1085951759*c_1001_9^8 + 4446632871/1085951759*c_1001_9^7 - 2959312566/1085951759*c_1001_9^6 + 169340855/1085951759*c_1001_9^5 + 2869701498/1085951759*c_1001_9^4 - 2398035387/1085951759*c_1001_9^3 + 1245764613/1085951759*c_1001_9^2 + 2174560191/1085951759*c_1001_9 - 87289240/1085951759, c_0101_0 + 426358184/1085951759*c_1001_9^9 - 2395440390/1085951759*c_1001_9^8 + 4446632871/1085951759*c_1001_9^7 - 2959312566/1085951759*c_1001_9^6 + 169340855/1085951759*c_1001_9^5 + 2869701498/1085951759*c_1001_9^4 - 2398035387/1085951759*c_1001_9^3 + 1245764613/1085951759*c_1001_9^2 + 2656673/1085951759*c_1001_9 - 87289240/1085951759, c_0101_1 - 175473312/1085951759*c_1001_9^9 + 1002492001/1085951759*c_1001_9^8 - 1755052383/1085951759*c_1001_9^7 + 580656365/1085951759*c_1001_9^6 + 1064810019/1085951759*c_1001_9^5 - 2039447944/1085951759*c_1001_9^4 + 1531232153/1085951759*c_1001_9^3 - 48645411/1085951759*c_1001_9^2 + 243036616/1085951759*c_1001_9 + 747897091/1085951759, c_0101_10 + 426358184/1085951759*c_1001_9^9 - 2395440390/1085951759*c_1001_9^8 + 4446632871/1085951759*c_1001_9^7 - 2959312566/1085951759*c_1001_9^6 + 169340855/1085951759*c_1001_9^5 + 2869701498/1085951759*c_1001_9^4 - 2398035387/1085951759*c_1001_9^3 + 1245764613/1085951759*c_1001_9^2 + 1088608432/1085951759*c_1001_9 - 87289240/1085951759, c_0101_3 - 1285972576/1085951759*c_1001_9^9 + 6866242495/1085951759*c_1001_9^8 - 11672418064/1085951759*c_1001_9^7 + 7622706766/1085951759*c_1001_9^6 - 5176217249/1085951759*c_1001_9^5 - 941784891/1085951759*c_1001_9^4 + 876785223/1085951759*c_1001_9^3 + 760632048/1085951759*c_1001_9^2 - 1013228615/1085951759*c_1001_9 + 921736779/1085951759, c_1001_0 + 626819655/1085951759*c_1001_9^9 - 2850900521/1085951759*c_1001_9^8 + 3174116677/1085951759*c_1001_9^7 + 82856260/1085951759*c_1001_9^6 + 818226957/1085951759*c_1001_9^5 + 1388912733/1085951759*c_1001_9^4 + 286352328/1085951759*c_1001_9^3 + 423395706/1085951759*c_1001_9^2 - 143801585/1085951759*c_1001_9 + 692481997/1085951759, c_1001_10 - 60119738/1085951759*c_1001_9^9 + 91223972/1085951759*c_1001_9^8 + 1072931333/1085951759*c_1001_9^7 - 3724967635/1085951759*c_1001_9^6 + 3948283164/1085951759*c_1001_9^5 - 1673946911/1085951759*c_1001_9^4 + 287694318/1085951759*c_1001_9^3 + 961190722/1085951759*c_1001_9^2 - 474407955/1085951759*c_1001_9 - 186056776/1085951759, c_1001_2 - 71159585/1085951759*c_1001_9^9 + 611243668/1085951759*c_1001_9^8 - 1620348032/1085951759*c_1001_9^7 + 1425207784/1085951759*c_1001_9^6 - 777252247/1085951759*c_1001_9^5 + 1474337777/1085951759*c_1001_9^4 + 707029566/1085951759*c_1001_9^3 - 404039220/1085951759*c_1001_9^2 + 710857865/1085951759*c_1001_9 - 43714283/1085951759, c_1001_9^10 - 5*c_1001_9^9 + 52/7*c_1001_9^8 - 25/7*c_1001_9^7 + 20/7*c_1001_9^6 + 13/7*c_1001_9^5 - 2/7*c_1001_9^4 + 1/7*c_1001_9^3 + 5/7*c_1001_9^2 + 2/7*c_1001_9 + 3/7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 5.700 Total time: 5.910 seconds, Total memory usage: 188.44MB