Magma V2.19-8 Tue Aug 20 2013 23:46:14 on localhost [Seed = 3802433767] Type ? for help. Type -D to quit. Loading file "K14n15640__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n15640 geometric_solution 9.61398740 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 1 0132 0132 0132 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.322779130760 1.551942427700 0 4 0 5 0132 0132 2031 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 0 -1 1 1 0 -1 0 0 -5 0 5 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.236199733208 0.541283359723 6 0 8 7 0132 0132 0132 0132 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 1 0 -1 -5 0 6 -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 1.528756180612 1.316043488589 9 5 9 0 0132 1023 1023 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 0.506883299272 0.693989631291 6 1 8 10 1023 0132 2103 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 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.093430386049 0.801404927011 3 11 1 8 1023 0132 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 -6 0 6 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.677220869240 1.551942427700 2 4 11 10 0132 1023 3201 2103 0 0 0 0 0 0 0 0 -1 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 5 0 -5 0 0 0 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.014317867765 0.656175316724 11 8 2 11 2031 0213 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 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 6 -6 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.016024527966 0.522220238227 4 5 7 2 2103 1302 0213 0132 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 6 -6 0 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.972393674718 0.414315360078 3 10 3 10 0132 3012 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.649962488226 0.197768564384 9 9 4 6 1230 0321 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 1.911083839637 1.502560421673 6 5 7 7 2310 0132 1302 1023 0 0 0 0 0 0 0 0 -1 0 1 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 -1 1 0 5 0 -6 1 5 -5 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.941295808360 1.913099531400 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_8'], 'c_1001_10' : negation(d['c_0101_1']), 'c_1001_5' : d['c_0011_8'], 'c_1001_4' : d['c_0011_8'], 'c_1001_7' : d['c_0110_5'], 'c_1001_6' : d['c_0011_7'], 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : d['c_0110_5'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : d['c_0110_5'], 'c_1010_11' : d['c_0011_8'], 'c_1010_10' : negation(d['c_0101_10']), 's_3_11' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_7']), '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_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' : negation(d['c_0101_1']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_1001_2']), 'c_1100_4' : negation(d['c_0101_2']), 'c_1100_7' : negation(d['c_0101_6']), 'c_1100_6' : negation(d['c_0011_11']), 'c_1100_1' : negation(d['c_1001_2']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0101_1'], 'c_1100_2' : negation(d['c_0101_6']), 's_0_10' : d['1'], 'c_1100_11' : d['c_0101_6'], 'c_1100_10' : negation(d['c_0101_2']), 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0101_6']), 'c_1010_6' : d['c_0101_10'], 'c_1010_5' : d['c_0011_8'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_0110_5'], 'c_1010_2' : d['c_0110_5'], 'c_1010_1' : d['c_0011_8'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0101_10']), 'c_1010_8' : d['c_1001_2'], 'c_1100_8' : negation(d['c_0101_6']), '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'], '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_11'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], '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_11']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_6']), 'c_0110_10' : d['c_0011_11'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_7'], 'c_0101_3' : negation(d['c_0011_10']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0011_7'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0011_8'], 'c_0110_6' : d['c_0101_2']})} 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_7, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_6, c_0110_5, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 6931416037186/572769848365*c_1001_2^13 + 2266344298547/2291079393460*c_1001_2^12 - 9870683513077/88118438210*c_1001_2^11 - 21866869410699/208279944860*c_1001_2^10 - 4344859360887/1145539696730*c_1001_2^9 + 127087323470197/572769848365*c_1001_2^8 + 224743637116239/2291079393460*c_1001_2^7 - 334752229459589/2291079393460*c_1001_2^6 - 3876116784764/44059219105*c_1001_2^5 + 66983378755399/572769848365*c_1001_2^4 + 124922755254789/2291079393460*c_1001_2^3 - 402236075591029/2291079393460*c_1001_2^2 - 98713588842749/572769848365*c_1001_2 - 18415775157809/458215878692, c_0011_0 - 1, c_0011_10 - 74593242/801076711*c_1001_2^13 - 1401879/801076711*c_1001_2^12 + 775886107/801076711*c_1001_2^11 + 506890542/801076711*c_1001_2^10 - 764758038/801076711*c_1001_2^9 - 1146927410/801076711*c_1001_2^8 - 125119683/801076711*c_1001_2^7 + 2157616397/801076711*c_1001_2^6 - 337675256/801076711*c_1001_2^5 - 1679228247/801076711*c_1001_2^4 + 75527785/801076711*c_1001_2^3 + 2134440643/801076711*c_1001_2^2 + 460267373/801076711*c_1001_2 - 67565236/801076711, c_0011_11 + 395207160/801076711*c_1001_2^13 - 90156208/801076711*c_1001_2^12 - 3519848602/801076711*c_1001_2^11 - 2367461432/801076711*c_1001_2^10 - 329627487/801076711*c_1001_2^9 + 6662164380/801076711*c_1001_2^8 + 768751361/801076711*c_1001_2^7 - 2853968606/801076711*c_1001_2^6 - 2208382330/801076711*c_1001_2^5 + 3409832293/801076711*c_1001_2^4 - 843318545/801076711*c_1001_2^3 - 4402027059/801076711*c_1001_2^2 - 2829896919/801076711*c_1001_2 - 1356516295/801076711, c_0011_7 + 252095587/801076711*c_1001_2^13 - 381381935/801076711*c_1001_2^12 - 1962559055/801076711*c_1001_2^11 + 1290614917/801076711*c_1001_2^10 - 156569334/801076711*c_1001_2^9 + 3800650318/801076711*c_1001_2^8 - 4857776380/801076711*c_1001_2^7 - 313286883/801076711*c_1001_2^6 + 1263906168/801076711*c_1001_2^5 + 1479992432/801076711*c_1001_2^4 - 1269987135/801076711*c_1001_2^3 - 1743581544/801076711*c_1001_2^2 + 547666558/801076711*c_1001_2 - 30990674/801076711, c_0011_8 - 156729117/801076711*c_1001_2^13 + 126813320/801076711*c_1001_2^12 + 1372588033/801076711*c_1001_2^11 + 125187879/801076711*c_1001_2^10 - 354280957/801076711*c_1001_2^9 - 2700776621/801076711*c_1001_2^8 + 935781284/801076711*c_1001_2^7 + 1273920424/801076711*c_1001_2^6 + 94225272/801076711*c_1001_2^5 - 1803556706/801076711*c_1001_2^4 + 657542126/801076711*c_1001_2^3 + 792278669/801076711*c_1001_2^2 + 724902737/801076711*c_1001_2 - 261485273/801076711, c_0101_0 + 1, c_0101_1 - 268393840/801076711*c_1001_2^13 + 52182188/801076711*c_1001_2^12 + 2391203545/801076711*c_1001_2^11 + 1699722241/801076711*c_1001_2^10 + 293245855/801076711*c_1001_2^9 - 4629279277/801076711*c_1001_2^8 - 748663873/801076711*c_1001_2^7 + 2007819176/801076711*c_1001_2^6 + 1501929443/801076711*c_1001_2^5 - 2282102816/801076711*c_1001_2^4 - 245152190/801076711*c_1001_2^3 + 3089451275/801076711*c_1001_2^2 + 3230190366/801076711*c_1001_2 + 1043058061/801076711, c_0101_10 - 33318373/801076711*c_1001_2^13 + 107797902/801076711*c_1001_2^12 + 211063947/801076711*c_1001_2^11 - 693369821/801076711*c_1001_2^10 + 80800747/801076711*c_1001_2^9 - 248820786/801076711*c_1001_2^8 + 1024103019/801076711*c_1001_2^7 - 388282367/801076711*c_1001_2^6 - 816618247/801076711*c_1001_2^5 + 1331606938/801076711*c_1001_2^4 + 480264638/801076711*c_1001_2^3 - 47132700/801076711*c_1001_2^2 - 862817441/801076711*c_1001_2 - 55882187/801076711, c_0101_2 + 191334445/801076711*c_1001_2^13 - 71690006/801076711*c_1001_2^12 - 1723727633/801076711*c_1001_2^11 - 915803782/801076711*c_1001_2^10 + 211494451/801076711*c_1001_2^9 + 3672848082/801076711*c_1001_2^8 + 256406490/801076711*c_1001_2^7 - 1890841633/801076711*c_1001_2^6 - 437716298/801076711*c_1001_2^5 + 1554324128/801076711*c_1001_2^4 - 143758736/801076711*c_1001_2^3 - 3079763220/801076711*c_1001_2^2 - 1619497552/801076711*c_1001_2 - 20481923/801076711, c_0101_6 - 33386002/801076711*c_1001_2^13 - 105879968/801076711*c_1001_2^12 + 471297590/801076711*c_1001_2^11 + 1099122829/801076711*c_1001_2^10 - 532404146/801076711*c_1001_2^9 - 679602072/801076711*c_1001_2^8 - 2235271583/801076711*c_1001_2^7 + 2350775550/801076711*c_1001_2^6 + 384754043/801076711*c_1001_2^5 - 173543649/801076711*c_1001_2^4 - 688310707/801076711*c_1001_2^3 + 1210265909/801076711*c_1001_2^2 + 1233784014/801076711*c_1001_2 + 161458789/801076711, c_0110_5 + 156729117/801076711*c_1001_2^13 - 126813320/801076711*c_1001_2^12 - 1372588033/801076711*c_1001_2^11 - 125187879/801076711*c_1001_2^10 + 354280957/801076711*c_1001_2^9 + 2700776621/801076711*c_1001_2^8 - 935781284/801076711*c_1001_2^7 - 1273920424/801076711*c_1001_2^6 - 94225272/801076711*c_1001_2^5 + 1803556706/801076711*c_1001_2^4 - 657542126/801076711*c_1001_2^3 - 792278669/801076711*c_1001_2^2 - 724902737/801076711*c_1001_2 + 261485273/801076711, c_1001_2^14 - 9*c_1001_2^12 - 8*c_1001_2^11 - 2*c_1001_2^10 + 17*c_1001_2^9 + 7*c_1001_2^8 - 8*c_1001_2^7 - 6*c_1001_2^6 + 7*c_1001_2^5 + 3*c_1001_2^4 - 12*c_1001_2^3 - 13*c_1001_2^2 - 6*c_1001_2 - 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 6.530 Total time: 6.740 seconds, Total memory usage: 64.12MB