Magma V2.19-8 Wed Aug 21 2013 00:51:27 on localhost [Seed = 4020894338] Type ? for help. Type -D to quit. Loading file "L11a452__sl2_c7.magma" ==TRIANGULATION=BEGINS== % Triangulation L11a452 geometric_solution 11.98379141 oriented_manifold CS_known 0.0000000000000000 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 2 2 2 1 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 1 0 -1 0 0 0 0 0 0 0 0 5 1 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.814861904435 1.214910715381 0 3 6 5 0132 3120 0132 0132 0 2 1 2 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 2 -1 -1 0 0 -1 1 -5 0 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.822852466730 0.843523875191 7 0 8 7 0132 0132 0132 2031 2 2 1 2 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 0 1 0 0 5 -5 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.648122866195 0.668161212970 6 1 5 0 1230 3120 1230 0132 2 2 1 0 0 0 0 0 0 0 0 0 -1 0 0 1 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 -6 0 0 6 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.177147533270 0.843523875191 9 10 0 5 0132 0132 0132 1230 2 2 1 2 0 0 0 0 0 0 0 0 0 0 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 -0.161834855147 0.905796350929 4 6 1 3 3012 0213 0132 3012 0 2 2 1 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 0 0 1 -1 1 0 -1 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 0.561292470772 0.402212625588 10 3 5 1 2103 3012 0213 0132 0 2 2 1 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 -1 0 0 1 0 0 0 0 -1 6 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.407430952218 0.607455357690 2 2 11 12 0132 1302 0132 0132 2 2 2 1 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 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.252024374587 0.771101171112 11 9 10 2 1302 2103 2103 0132 2 2 2 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 0 0 0 0 0 0 0 4 0 1 -5 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.648604960976 0.370536360524 4 8 11 10 0132 2103 1302 2103 2 2 2 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 0.342431878950 1.280200137575 8 4 6 9 2103 0132 2103 2103 2 2 2 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 -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 0.185540500855 1.185175920798 9 8 12 7 2031 2031 3201 0132 2 2 1 2 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 0 0 -5 5 0 0 0 0 0 1 0 -1 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.252024374587 0.771101171112 11 12 7 12 2310 1302 0132 2031 2 2 2 2 0 -1 0 1 -1 0 0 1 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 -4 0 4 -4 0 0 4 0 -4 0 4 5 -4 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.446013752221 1.487710994763 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_12']), 'c_1001_10' : d['c_0011_6'], 'c_1001_12' : negation(d['c_0101_11']), 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0011_8'], 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : negation(d['c_0101_3']), 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : d['c_0101_3'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_8'], 'c_1001_8' : d['c_0011_10'], 'c_1010_12' : d['c_0011_12'], 'c_1010_11' : d['c_0011_8'], '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_11'], 'c_0101_10' : negation(d['c_0011_11']), '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' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : negation(d['1']), 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0101_11'], 'c_1100_8' : d['c_0101_11'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : d['c_0110_5'], 'c_1100_7' : negation(d['c_0011_12']), 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : d['c_0110_5'], 'c_1100_3' : d['c_0110_5'], 'c_1100_2' : d['c_0101_11'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0011_12']), 'c_1100_10' : negation(d['c_0101_1']), 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0101_11']), 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : d['c_0011_6'], 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_1001_2']), 'c_1010_8' : d['c_1001_2'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0011_12']), 's_1_7' : negation(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' : 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' : negation(d['c_0011_11']), 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_6'], '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_0011_8'], 'c_0110_10' : negation(d['c_0101_11']), 'c_0110_12' : negation(d['c_0101_11']), 'c_0101_12' : d['c_0101_12'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0011_8'], 'c_0101_6' : negation(d['c_0011_11']), 'c_0101_5' : d['c_0011_6'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_12'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_6'], 'c_0101_9' : negation(d['c_0011_11']), 'c_0101_8' : negation(d['c_0011_11']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_12'], 'c_0110_1' : d['c_0011_6'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_6'], 'c_0110_2' : d['c_0011_8'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_11']), 'c_0110_7' : d['c_0101_12'], 'c_0110_6' : d['c_0101_1']})} 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_3, c_0011_6, c_0011_8, c_0101_1, c_0101_11, c_0101_12, c_0101_3, c_0110_5, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 45359491878790531272225/840987945095811365216*c_1001_2^9 - 186769020248905735036653/840987945095811365216*c_1001_2^8 - 568265050243595625470/2021605637249546551*c_1001_2^7 + 82117500790810206748755/840987945095811365216*c_1001_2^6 + 655381915105788886479487/840987945095811365216*c_1001_2^5 + 80142987774260962093059/64691380391985489632*c_1001_2^4 + 461055147308740964888921/420493972547905682608*c_1001_2^3 + 213335825180041717603253/420493972547905682608*c_1001_2^2 + 54911648539705461237347/840987945095811365216*c_1001_2 - 23627388547132244087825/840987945095811365216, c_0011_0 - 1, c_0011_10 - 92163539823072/40159190883745*c_1001_2^9 - 322460738291314/40159190883745*c_1001_2^8 - 291002145833542/40159190883745*c_1001_2^7 + 387249891367396/40159190883745*c_1001_2^6 + 1227807546503126/40159190883745*c_1001_2^5 + 1422860159974482/40159190883745*c_1001_2^4 + 817959938796754/40159190883745*c_1001_2^3 - 12249716350136/40159190883745*c_1001_2^2 - 60327938173655/8031838176749*c_1001_2 - 61524679349086/40159190883745, c_0011_11 - 1, c_0011_12 + 62660413467828/8031838176749*c_1001_2^9 + 264412210752248/8031838176749*c_1001_2^8 + 349771482081399/8031838176749*c_1001_2^7 - 93866050323836/8031838176749*c_1001_2^6 - 931258691793712/8031838176749*c_1001_2^5 - 1520217416046064/8031838176749*c_1001_2^4 - 1373305628971208/8031838176749*c_1001_2^3 - 658613166012632/8031838176749*c_1001_2^2 - 88094943599732/8031838176749*c_1001_2 + 32105719189672/8031838176749, c_0011_3 - 503767898857937/40159190883745*c_1001_2^9 - 1807525119478579/40159190883745*c_1001_2^8 - 2015803675433082/40159190883745*c_1001_2^7 + 1195526395356391/40159190883745*c_1001_2^6 + 6410271110026001/40159190883745*c_1001_2^5 + 9509704018359237/40159190883745*c_1001_2^4 + 7810540595448624/40159190883745*c_1001_2^3 + 3261327968203354/40159190883745*c_1001_2^2 + 27603009643723/8031838176749*c_1001_2 - 261104091390406/40159190883745, c_0011_6 + 503767898857937/40159190883745*c_1001_2^9 + 1807525119478579/40159190883745*c_1001_2^8 + 2015803675433082/40159190883745*c_1001_2^7 - 1195526395356391/40159190883745*c_1001_2^6 - 6410271110026001/40159190883745*c_1001_2^5 - 9509704018359237/40159190883745*c_1001_2^4 - 7810540595448624/40159190883745*c_1001_2^3 - 3261327968203354/40159190883745*c_1001_2^2 - 27603009643723/8031838176749*c_1001_2 + 301263282274151/40159190883745, c_0011_8 + 139953988026668/40159190883745*c_1001_2^9 + 629598299259846/40159190883745*c_1001_2^8 + 980668731123078/40159190883745*c_1001_2^7 + 40604528296656/40159190883745*c_1001_2^6 - 2221795936371714/40159190883745*c_1001_2^5 - 4100839428273158/40159190883745*c_1001_2^4 - 4072269731326041/40159190883745*c_1001_2^3 - 2277989018900496/40159190883745*c_1001_2^2 - 97056313156100/8031838176749*c_1001_2 + 79858617514754/40159190883745, c_0101_1 - 1, c_0101_11 + 16705097552950/8031838176749*c_1001_2^9 + 69895224916498/8031838176749*c_1001_2^8 + 96815987907188/8031838176749*c_1001_2^7 - 18562863053090/8031838176749*c_1001_2^6 - 253009729403478/8031838176749*c_1001_2^5 - 418088277503734/8031838176749*c_1001_2^4 - 377637214245976/8031838176749*c_1001_2^3 - 185157036415031/8031838176749*c_1001_2^2 - 18838047553478/8031838176749*c_1001_2 + 13864973608589/8031838176749, c_0101_12 - 19323522383956/8031838176749*c_1001_2^9 - 71510643478732/8031838176749*c_1001_2^8 - 75528840386232/8031838176749*c_1001_2^7 + 61838722615564/8031838176749*c_1001_2^6 + 256838403884836/8031838176749*c_1001_2^5 + 349237686679111/8031838176749*c_1001_2^4 + 263498276894728/8031838176749*c_1001_2^3 + 92655416421087/8031838176749*c_1001_2^2 - 7054464974148/8031838176749*c_1001_2 - 5007126265129/8031838176749, c_0101_3 + 1, c_0110_5 - 82320871806973/8031838176749*c_1001_2^9 - 297012876237453/8031838176749*c_1001_2^8 - 344960305919908/8031838176749*c_1001_2^7 + 161655300797799/8031838176749*c_1001_2^6 + 1036492712704575/8031838176749*c_1001_2^5 + 1617368771676951/8031838176749*c_1001_2^4 + 1398516131330374/8031838176749*c_1001_2^3 + 654715536910698/8031838176749*c_1001_2^2 + 95962785994127/8031838176749*c_1001_2 - 23852206054766/8031838176749, c_1001_2^10 + 348/79*c_1001_2^9 + 549/79*c_1001_2^8 + 83/79*c_1001_2^7 - 1132/79*c_1001_2^6 - 2304/79*c_1001_2^5 - 2493/79*c_1001_2^4 - 1608/79*c_1001_2^3 - 535/79*c_1001_2^2 - 28/79*c_1001_2 + 25/79 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB