Magma V2.19-8 Wed Aug 21 2013 01:04:37 on localhost [Seed = 1999728393] Type ? for help. Type -D to quit. Loading file "L14n24550__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n24550 geometric_solution 12.40854883 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 1230 1 1 0 1 0 1 -1 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 -3 2 1 0 0 0 0 -1 -1 0 2 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.467431768409 0.721629435371 0 4 4 5 0132 0132 1302 0132 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 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.774298304241 1.099424402172 0 0 4 6 3012 0132 0132 0132 1 1 1 0 0 -1 0 1 0 0 0 0 0 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 -3 -1 0 0 1 0 2 0 -2 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.662087048495 0.897127306193 5 7 8 0 0213 0132 0132 0132 1 1 1 1 0 -1 0 1 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 2 0 -2 0 0 0 0 -1 3 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.793175258170 0.816831025356 1 1 9 2 2031 0132 0132 0132 1 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.571802054333 0.607997289736 3 10 1 7 0213 0132 0132 1230 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 1 0 0 -1 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.575444408551 0.918075125371 11 8 2 10 0132 1023 0132 3120 1 1 1 1 0 0 -1 1 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 3 -3 0 0 -1 1 0 0 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.947151005461 1.111105098856 5 3 8 11 3012 0132 1023 2103 1 1 1 1 0 1 0 -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 -2 0 2 0 0 0 0 1 0 0 -1 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.153815780396 0.760288455387 6 12 7 3 1023 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.700309584634 0.463933634727 11 10 12 4 2103 0321 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 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 0.687998673052 0.660930084076 6 5 12 9 3120 0132 0132 0321 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 0 0 -1 0 0 1 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.851446846840 1.003034822174 6 12 9 7 0132 3201 2103 2103 1 1 1 1 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 0 1 0 0 0 0 2 0 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.291306803265 1.150483412664 9 8 11 10 2103 0132 2310 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 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 0.632265349873 0.530893843254 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_9'], 'c_1001_10' : d['c_0101_7'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_0101_8'], 'c_1001_6' : d['c_0101_8'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0101_8'], 'c_1001_3' : d['c_1001_12'], 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : d['c_0011_11'], 'c_1001_8' : d['c_0101_7'], 'c_1010_12' : d['c_0101_7'], 'c_1010_11' : negation(d['c_1001_12']), 'c_1010_10' : d['c_1001_4'], 's_0_10' : 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' : negation(d['c_0011_9']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(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' : negation(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_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0101_6'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : d['c_0101_4'], 'c_1100_4' : negation(d['c_0101_10']), 'c_1100_7' : negation(d['c_0101_6']), 'c_1100_6' : negation(d['c_0101_10']), 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : d['c_0101_6'], 'c_1100_3' : d['c_0101_6'], 'c_1100_2' : negation(d['c_0101_10']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_4']), 'c_1100_10' : d['c_0011_11'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_12'], 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : d['c_0101_7'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_0101_8'], 'c_1010_2' : d['c_0101_8'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : d['c_1001_4'], 'c_1010_8' : d['c_1001_12'], '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_0011_11'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(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_9'], 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_11']), '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_0101_6'], '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' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_10']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0011_3'], 'c_0101_9' : negation(d['c_0011_9']), 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_4'], 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0011_3'], 'c_1100_9' : negation(d['c_0101_10']), 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0101_4'], 'c_0110_6' : negation(d['c_0011_9'])})} 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_3, c_0011_9, c_0101_10, c_0101_2, c_0101_4, c_0101_6, c_0101_7, c_0101_8, c_1001_12, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 427553513573380021072295/60218575504366515392*c_1001_4^10 - 139013431588454117553877/15054643876091628848*c_1001_4^9 + 9145241618765319511908111/60218575504366515392*c_1001_4^8 - 34386577308653248233112939/60218575504366515392*c_1001_4^7 + 2382923933550314796252303/30109287752183257696*c_1001_4^6 + 60019601955820562292544925/30109287752183257696*c_1001_4^5 - 47718583248184380654802025/15054643876091628848*c_1001_4^4 + 128595156444739487586975869/60218575504366515392*c_1001_4^3 - 18664132362154576868873309/60218575504366515392*c_1001_4^2 - 3197002949426423051806543/4632198115720501184*c_1001_4 + 24381632867856050521111269/60218575504366515392, c_0011_0 - 1, c_0011_10 - 44428985224/2922124250399*c_1001_4^10 + 48465538165/2922124250399*c_1001_4^9 - 1038081805525/2922124250399*c_1001_4^8 + 3331237850077/2922124250399*c_1001_4^7 - 1951628783039/2922124250399*c_1001_4^6 - 8314904268310/2922124250399*c_1001_4^5 + 23621315615645/2922124250399*c_1001_4^4 - 25426696430912/2922124250399*c_1001_4^3 + 14184450757518/2922124250399*c_1001_4^2 - 1802708580546/2922124250399*c_1001_4 - 3768834744518/2922124250399, c_0011_11 + 92213571110/2922124250399*c_1001_4^10 - 26140983550/2922124250399*c_1001_4^9 + 1947763481071/2922124250399*c_1001_4^8 - 5450842566875/2922124250399*c_1001_4^7 - 4448599392062/2922124250399*c_1001_4^6 + 20943329206710/2922124250399*c_1001_4^5 - 18606330427028/2922124250399*c_1001_4^4 + 9154038651566/2922124250399*c_1001_4^3 - 516497398116/2922124250399*c_1001_4^2 - 2385895860357/2922124250399*c_1001_4 - 1079125608506/2922124250399, c_0011_3 - 1, c_0011_9 - 83594030744/2922124250399*c_1001_4^10 + 31134429077/2922124250399*c_1001_4^9 - 1848624267342/2922124250399*c_1001_4^8 + 5044047768644/2922124250399*c_1001_4^7 + 1798766326108/2922124250399*c_1001_4^6 - 16334902677448/2922124250399*c_1001_4^5 + 24487483183906/2922124250399*c_1001_4^4 - 21684506426261/2922124250399*c_1001_4^3 + 9379872425578/2922124250399*c_1001_4^2 - 1575170334862/2922124250399*c_1001_4 - 689162371694/2922124250399, c_0101_10 + 146481142761/2922124250399*c_1001_4^10 - 11446636981/2922124250399*c_1001_4^9 + 3092745181087/2922124250399*c_1001_4^8 - 7959056197641/2922124250399*c_1001_4^7 - 8639661648473/2922124250399*c_1001_4^6 + 32869834698957/2922124250399*c_1001_4^5 - 25337888830616/2922124250399*c_1001_4^4 + 4919201156819/2922124250399*c_1001_4^3 + 10612524004380/2922124250399*c_1001_4^2 - 9139840780922/2922124250399*c_1001_4 - 1583041396748/2922124250399, c_0101_2 - 100181503607/2922124250399*c_1001_4^10 + 5428456963/2922124250399*c_1001_4^9 - 2071771721627/2922124250399*c_1001_4^8 + 5478709429263/2922124250399*c_1001_4^7 + 7084616472935/2922124250399*c_1001_4^6 - 22571912362937/2922124250399*c_1001_4^5 + 12699831827480/2922124250399*c_1001_4^4 - 336286979159/2922124250399*c_1001_4^3 - 7380023851639/2922124250399*c_1001_4^2 + 1822182369806/2922124250399*c_1001_4 + 3247919924875/2922124250399, c_0101_4 + 100181503607/2922124250399*c_1001_4^10 - 5428456963/2922124250399*c_1001_4^9 + 2071771721627/2922124250399*c_1001_4^8 - 5478709429263/2922124250399*c_1001_4^7 - 7084616472935/2922124250399*c_1001_4^6 + 22571912362937/2922124250399*c_1001_4^5 - 12699831827480/2922124250399*c_1001_4^4 + 336286979159/2922124250399*c_1001_4^3 + 7380023851639/2922124250399*c_1001_4^2 - 4744306620205/2922124250399*c_1001_4 - 3247919924875/2922124250399, c_0101_6 + 10857713058/2922124250399*c_1001_4^10 + 108533894269/2922124250399*c_1001_4^9 + 216886301572/2922124250399*c_1001_4^8 + 1802339316811/2922124250399*c_1001_4^7 - 6616449574239/2922124250399*c_1001_4^6 - 1968225002059/2922124250399*c_1001_4^5 + 19669727004432/2922124250399*c_1001_4^4 - 25076616776574/2922124250399*c_1001_4^3 + 16808904277951/2922124250399*c_1001_4^2 - 2948440261331/2922124250399*c_1001_4 - 2514507256777/2922124250399, c_0101_7 - 22941559445/2922124250399*c_1001_4^10 - 3088450958/2922124250399*c_1001_4^9 - 436426736604/2922124250399*c_1001_4^8 + 1171635946130/2922124250399*c_1001_4^7 + 2650377479438/2922124250399*c_1001_4^6 - 6812252047399/2922124250399*c_1001_4^5 - 1209033439687/2922124250399*c_1001_4^4 + 6064328119826/2922124250399*c_1001_4^3 - 6871876453779/2922124250399*c_1001_4^2 + 5527810200653/2922124250399*c_1001_4 + 2041469703288/2922124250399, c_0101_8 + 111039216665/2922124250399*c_1001_4^10 + 103105437306/2922124250399*c_1001_4^9 + 2288658023199/2922124250399*c_1001_4^8 - 3676370112452/2922124250399*c_1001_4^7 - 13701066047174/2922124250399*c_1001_4^6 + 20603687360878/2922124250399*c_1001_4^5 + 6969895176952/2922124250399*c_1001_4^4 - 24740329797415/2922124250399*c_1001_4^3 + 24188928129590/2922124250399*c_1001_4^2 - 4770622631137/2922124250399*c_1001_4 - 5762427181652/2922124250399, c_1001_12 - 135623429703/2922124250399*c_1001_4^10 + 119980531250/2922124250399*c_1001_4^9 - 2875858879515/2922124250399*c_1001_4^8 + 9761395514452/2922124250399*c_1001_4^7 + 2023212074234/2922124250399*c_1001_4^6 - 34838059701016/2922124250399*c_1001_4^5 + 45007615835048/2922124250399*c_1001_4^4 - 29995817933393/2922124250399*c_1001_4^3 + 6196380273571/2922124250399*c_1001_4^2 + 3269276269192/2922124250399*c_1001_4 - 931465860029/2922124250399, c_1001_4^11 - c_1001_4^10 + 21*c_1001_4^9 - 74*c_1001_4^8 - 13*c_1001_4^7 + 284*c_1001_4^6 - 362*c_1001_4^5 + 167*c_1001_4^4 + 46*c_1001_4^3 - 110*c_1001_4^2 + 28*c_1001_4 + 17 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 2.650 Total time: 2.850 seconds, Total memory usage: 32.09MB