Magma V2.19-8 Wed Aug 21 2013 00:25:18 on localhost [Seed = 4190104289] Type ? for help. Type -D to quit. Loading file "K14n14092__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n14092 geometric_solution 11.47568775 oriented_manifold CS_known 0.0000000000000001 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 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 -1 1 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.815458443866 1.411324090145 0 5 4 6 0132 0132 1230 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 6 -6 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.520685325116 0.297842829615 3 0 8 7 1023 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 1 0 -1 0 0 0 0 7 -6 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.255840314967 1.230394426468 6 2 5 0 0132 1023 2031 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 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.473880751436 0.453891735529 9 10 0 1 0132 0132 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.546330819588 1.447756849698 11 1 9 3 0132 0132 0213 1302 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 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.430748681017 1.449214756736 3 11 1 12 0132 0132 0132 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 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.689098529373 0.627054575186 8 10 2 8 1302 1302 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -0.279601123647 0.867425438595 11 7 7 2 2310 2031 1230 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.630486041451 0.358344333808 4 5 12 12 0132 0213 0132 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 0 1 -1 0 0 1 -1 0 0 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.162925184284 1.216995748319 11 4 12 7 3012 0132 3012 2031 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 -1 1 0 0 0 0 -7 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.004244484451 0.977734193075 5 6 8 10 0132 0132 3201 1230 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 -7 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.742745377053 0.472848335379 9 10 6 9 3012 1230 0132 0132 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 1 -7 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.634677806169 1.280076357708 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_8']), 'c_1001_10' : negation(d['c_0011_12']), 'c_1001_12' : negation(d['c_0101_8']), 'c_1001_5' : d['c_0101_10'], 'c_1001_4' : d['c_0011_7'], 'c_1001_7' : negation(d['c_0011_8']), 'c_1001_6' : d['c_0101_10'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0011_8']), 'c_1001_3' : negation(d['c_0101_11']), 'c_1001_2' : d['c_0011_7'], 'c_1001_9' : d['c_0101_10'], 'c_1001_8' : negation(d['c_0110_7']), 'c_1010_12' : d['c_0101_10'], 'c_1010_11' : d['c_0101_10'], 'c_1010_10' : d['c_0011_7'], 's_0_10' : 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_11'], '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' : negation(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' : negation(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' : negation(d['c_0011_0']), 'c_1100_8' : d['c_0110_7'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_12'], 'c_1100_4' : negation(d['c_1001_1']), 'c_1100_7' : d['c_0110_7'], 'c_1100_6' : d['c_0101_9'], 'c_1100_1' : d['c_0101_9'], 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : d['c_0110_7'], 's_3_11' : d['1'], 'c_1100_9' : d['c_0101_9'], 'c_1100_11' : negation(d['c_0011_8']), 'c_1100_10' : d['c_0101_8'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0101_8']), 'c_1010_6' : negation(d['c_0101_8']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0011_12']), 'c_1010_3' : negation(d['c_0011_8']), 'c_1010_2' : negation(d['c_0011_8']), 'c_1010_1' : d['c_0101_10'], 'c_1010_0' : d['c_0011_7'], 'c_1010_9' : d['c_0101_12'], 'c_1010_8' : d['c_0011_7'], 's_3_1' : negation(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_0101_9'], 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : 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_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], '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' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_10'], 'c_0110_10' : negation(d['c_0011_8']), 'c_0110_12' : d['c_0101_9'], 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : negation(d['c_0011_8']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_10'], 'c_0101_4' : d['c_0011_12'], 'c_0101_3' : d['c_0101_12'], 'c_0101_2' : negation(d['c_0101_11']), 'c_0101_1' : d['c_0011_12'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_12'], 'c_0110_8' : negation(d['c_0101_11']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_12'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_8']), 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : d['c_0110_7'], 'c_0110_6' : d['c_0101_12']})} 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_12, c_0011_7, c_0011_8, c_0101_0, c_0101_10, c_0101_11, c_0101_12, c_0101_8, c_0101_9, c_0110_7, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t + 19531711921464748745/44090100576864*c_1001_1^25 - 43002159906061022459/11022525144216*c_1001_1^24 + 93500032261914345599/5511262572108*c_1001_1^23 - 2374889865982016820277/44090100576864*c_1001_1^22 + 6376616528225784136841/44090100576864*c_1001_1^21 - 4914374743413268618175/14696700192288*c_1001_1^20 + 14931355521662153419651/22045050288432*c_1001_1^19 - 18184773523016484084617/14696700192288*c_1001_1^18 + 22610058792912564947917/11022525144216*c_1001_1^17 - 68261185639201671215395/22045050288432*c_1001_1^16 + 15789813865973987166071/3674175048072*c_1001_1^15 - 241785220387302734046233/44090100576864*c_1001_1^14 + 283981887696401756031295/44090100576864*c_1001_1^13 - 307606765020850917429697/44090100576864*c_1001_1^12 + 305997439487755814291603/44090100576864*c_1001_1^11 - 69891334521455331065851/11022525144216*c_1001_1^10 + 233427928186710386824427/44090100576864*c_1001_1^9 - 176751222535078493206793/44090100576864*c_1001_1^8 + 10104809738281760645317/3674175048072*c_1001_1^7 - 73760109624762942015019/44090100576864*c_1001_1^6 + 10016736480366846802343/11022525144216*c_1001_1^5 - 9302366282958428702629/22045050288432*c_1001_1^4 + 7468904785409175385757/44090100576864*c_1001_1^3 - 200015870947649358689/3674175048072*c_1001_1^2 + 98217355185890353621/7348350096144*c_1001_1 - 100590669845505131449/44090100576864, c_0011_0 - 1, c_0011_10 - 1/4*c_1001_1^25 + 9/4*c_1001_1^24 - 39/4*c_1001_1^23 + 30*c_1001_1^22 - 311/4*c_1001_1^21 + 349/2*c_1001_1^20 - 341*c_1001_1^19 + 2391/4*c_1001_1^18 - 3807/4*c_1001_1^17 + 5495/4*c_1001_1^16 - 7247/4*c_1001_1^15 + 4381/2*c_1001_1^14 - 9689/4*c_1001_1^13 + 4901/2*c_1001_1^12 - 9027/4*c_1001_1^11 + 7545/4*c_1001_1^10 - 1424*c_1001_1^9 + 3819/4*c_1001_1^8 - 2265/4*c_1001_1^7 + 290*c_1001_1^6 - 259/2*c_1001_1^5 + 95/2*c_1001_1^4 - 49/4*c_1001_1^3 + 11/4*c_1001_1^2 - 5/4*c_1001_1 + 1, c_0011_12 - c_1001_1, c_0011_7 - 183/16*c_1001_1^25 + 413/4*c_1001_1^24 - 909/2*c_1001_1^23 + 22987/16*c_1001_1^22 - 61175/16*c_1001_1^21 + 140531/16*c_1001_1^20 - 140973/8*c_1001_1^19 + 508661/16*c_1001_1^18 - 208279/4*c_1001_1^17 + 619853/8*c_1001_1^16 - 422811/4*c_1001_1^15 + 2119255/16*c_1001_1^14 - 2436209/16*c_1001_1^13 + 2573631/16*c_1001_1^12 - 2488493/16*c_1001_1^11 + 549109/4*c_1001_1^10 - 1761733/16*c_1001_1^9 + 1269607/16*c_1001_1^8 - 204757/4*c_1001_1^7 + 462597/16*c_1001_1^6 - 56889/4*c_1001_1^5 + 47083/8*c_1001_1^4 - 31907/16*c_1001_1^3 + 2097/4*c_1001_1^2 - 729/8*c_1001_1 + 135/16, c_0011_8 - 1/4*c_1001_1^24 + 9/4*c_1001_1^23 - 39/4*c_1001_1^22 + 30*c_1001_1^21 - 311/4*c_1001_1^20 + 349/2*c_1001_1^19 - 341*c_1001_1^18 + 2391/4*c_1001_1^17 - 3807/4*c_1001_1^16 + 5495/4*c_1001_1^15 - 7247/4*c_1001_1^14 + 4381/2*c_1001_1^13 - 9689/4*c_1001_1^12 + 4901/2*c_1001_1^11 - 9027/4*c_1001_1^10 + 7545/4*c_1001_1^9 - 1424*c_1001_1^8 + 3819/4*c_1001_1^7 - 2265/4*c_1001_1^6 + 290*c_1001_1^5 - 259/2*c_1001_1^4 + 93/2*c_1001_1^3 - 45/4*c_1001_1^2 + 7/4*c_1001_1 + 3/4, c_0101_0 + 89/16*c_1001_1^25 - 105/2*c_1001_1^24 + 967/4*c_1001_1^23 - 12625/16*c_1001_1^22 + 34233/16*c_1001_1^21 - 80057/16*c_1001_1^20 + 81803/8*c_1001_1^19 - 299459/16*c_1001_1^18 + 31064*c_1001_1^17 - 375013/8*c_1001_1^16 + 129467/2*c_1001_1^15 - 1312757/16*c_1001_1^14 + 1526879/16*c_1001_1^13 - 1630037/16*c_1001_1^12 + 1592171/16*c_1001_1^11 - 177335/2*c_1001_1^10 + 1147247/16*c_1001_1^9 - 833369/16*c_1001_1^8 + 67465/2*c_1001_1^7 - 305775/16*c_1001_1^6 + 37447/4*c_1001_1^5 - 30701/8*c_1001_1^4 + 20357/16*c_1001_1^3 - 319*c_1001_1^2 + 397/8*c_1001_1 - 53/16, c_0101_10 + 61/8*c_1001_1^25 - 139/2*c_1001_1^24 + 310*c_1001_1^23 - 7937/8*c_1001_1^22 + 21293/8*c_1001_1^21 - 49233/8*c_1001_1^20 + 49735/4*c_1001_1^19 - 180519/8*c_1001_1^18 + 74271/2*c_1001_1^17 - 222131/4*c_1001_1^16 + 152199/2*c_1001_1^15 - 765653/8*c_1001_1^14 + 883251/8*c_1001_1^13 - 935909/8*c_1001_1^12 + 906959/8*c_1001_1^11 - 200431/2*c_1001_1^10 + 643263/8*c_1001_1^9 - 463037/8*c_1001_1^8 + 74387/2*c_1001_1^7 - 166679/8*c_1001_1^6 + 20199/2*c_1001_1^5 - 16293/4*c_1001_1^4 + 10521/8*c_1001_1^3 - 639/2*c_1001_1^2 + 171/4*c_1001_1 - 13/8, c_0101_11 + 59/4*c_1001_1^25 - 1085/8*c_1001_1^24 + 4859/8*c_1001_1^23 - 15539/8*c_1001_1^22 + 20831/4*c_1001_1^21 - 96455/8*c_1001_1^20 + 48763/2*c_1001_1^19 - 44285*c_1001_1^18 + 584321/8*c_1001_1^17 - 875963/8*c_1001_1^16 + 1203591/8*c_1001_1^15 - 1519847/8*c_1001_1^14 + 880807/4*c_1001_1^13 - 1877029/8*c_1001_1^12 + 458165/2*c_1001_1^11 - 1634529/8*c_1001_1^10 + 1326509/8*c_1001_1^9 - 484647/4*c_1001_1^8 + 634497/8*c_1001_1^7 - 365397/8*c_1001_1^6 + 22877*c_1001_1^5 - 19439/2*c_1001_1^4 + 6727/2*c_1001_1^3 - 7271/8*c_1001_1^2 + 1297/8*c_1001_1 - 99/8, c_0101_12 - 1/4*c_1001_1^25 + 9/4*c_1001_1^24 - 39/4*c_1001_1^23 + 30*c_1001_1^22 - 311/4*c_1001_1^21 + 349/2*c_1001_1^20 - 341*c_1001_1^19 + 2391/4*c_1001_1^18 - 3807/4*c_1001_1^17 + 5495/4*c_1001_1^16 - 7247/4*c_1001_1^15 + 4381/2*c_1001_1^14 - 9689/4*c_1001_1^13 + 4901/2*c_1001_1^12 - 9027/4*c_1001_1^11 + 7545/4*c_1001_1^10 - 1424*c_1001_1^9 + 3819/4*c_1001_1^8 - 2265/4*c_1001_1^7 + 290*c_1001_1^6 - 259/2*c_1001_1^5 + 95/2*c_1001_1^4 - 49/4*c_1001_1^3 + 7/4*c_1001_1^2 - 5/4*c_1001_1, c_0101_8 + 1, c_0101_9 - 53/16*c_1001_1^25 + 97/4*c_1001_1^24 - 80*c_1001_1^23 + 2969/16*c_1001_1^22 - 5925/16*c_1001_1^21 + 9121/16*c_1001_1^20 - 4359/8*c_1001_1^19 + 111/16*c_1001_1^18 + 6349/4*c_1001_1^17 - 39533/8*c_1001_1^16 + 41041/4*c_1001_1^15 - 280115/16*c_1001_1^14 + 415149/16*c_1001_1^13 - 542987/16*c_1001_1^12 + 638089/16*c_1001_1^11 - 168195/4*c_1001_1^10 + 638361/16*c_1001_1^9 - 544955/16*c_1001_1^8 + 102859/4*c_1001_1^7 - 275833/16*c_1001_1^6 + 39569/4*c_1001_1^5 - 39119/8*c_1001_1^4 + 31351/16*c_1001_1^3 - 2479/4*c_1001_1^2 + 1121/8*c_1001_1 - 211/16, c_0110_7 - 9/4*c_1001_1^25 + 75/4*c_1001_1^24 - 151/2*c_1001_1^23 + 445/2*c_1001_1^22 - 566*c_1001_1^21 + 4969/4*c_1001_1^20 - 4747/2*c_1001_1^19 + 16441/4*c_1001_1^18 - 25877/4*c_1001_1^17 + 18445/2*c_1001_1^16 - 48393/4*c_1001_1^15 + 58331/4*c_1001_1^14 - 64457/4*c_1001_1^13 + 16418*c_1001_1^12 - 30637/2*c_1001_1^11 + 13131*c_1001_1^10 - 10310*c_1001_1^9 + 7330*c_1001_1^8 - 4816*c_1001_1^7 + 2822*c_1001_1^6 - 6171/4*c_1001_1^5 + 2927/4*c_1001_1^4 - 621/2*c_1001_1^3 + 107*c_1001_1^2 - 109/4*c_1001_1 + 17/4, c_1001_1^26 - 9*c_1001_1^25 + 40*c_1001_1^24 - 129*c_1001_1^23 + 350*c_1001_1^22 - 818*c_1001_1^21 + 1675*c_1001_1^20 - 3089*c_1001_1^19 + 5171*c_1001_1^18 - 7886*c_1001_1^17 + 11054*c_1001_1^16 - 14257*c_1001_1^15 + 16936*c_1001_1^14 - 18564*c_1001_1^13 + 18716*c_1001_1^12 - 17347*c_1001_1^11 + 14723*c_1001_1^10 - 11364*c_1001_1^9 + 7961*c_1001_1^8 - 4979*c_1001_1^7 + 2783*c_1001_1^6 - 1350*c_1001_1^5 + 567*c_1001_1^4 - 197*c_1001_1^3 + 54*c_1001_1^2 - 11*c_1001_1 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 56.970 Total time: 57.179 seconds, Total memory usage: 246.62MB