Magma V2.19-8 Wed Aug 21 2013 00:58:22 on localhost [Seed = 2799746111] Type ? for help. Type -D to quit. Loading file "L13n5249__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n5249 geometric_solution 12.57952659 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 3 0132 0132 0132 3120 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 0 0 0 -1 0 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 0.429167952712 0.594679221138 0 4 5 5 0132 0132 2103 0132 1 0 1 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 0 0 0 0 0 0 0 -1 0 3 -2 0 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.400629231782 0.839518892871 6 0 5 7 0132 0132 0213 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 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 0.667631596748 0.828130754879 0 8 9 0 3120 0132 0132 0132 1 0 1 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 0 0 0 0 0 -1 1 0 0 0 0 -1 3 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.840085742488 0.875181303161 10 1 8 6 0132 0132 2103 1023 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 0 0 0 0 0 0 0 -3 1 0 2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.003416131441 0.830284543162 1 2 1 11 2103 0213 0132 0132 1 0 1 1 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 -3 0 2 1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.537003122385 0.970210347283 2 12 10 4 0132 0132 3120 1023 1 1 1 1 0 -1 1 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 -3 3 0 0 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 0 0 0.778233419622 0.517649990701 9 8 2 12 1023 0213 0132 2103 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.528354940986 0.543548954684 4 3 7 12 2103 0132 0213 1302 1 1 1 1 0 0 0 0 0 0 1 -1 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 2 -2 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.908052800645 1.001579951914 11 7 11 3 3120 1023 2103 0132 1 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 0 0 0 0 0 0 0 0 -1 1 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.825725424484 0.710559668796 4 12 6 11 0132 1023 3120 3201 1 1 1 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 0 0 0 0 0 0 0 -1 0 0 1 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.579266590144 0.900941549408 9 10 5 9 2103 2310 0132 3120 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 0 0 0 -1 1 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 0.304193785905 0.598760578726 10 6 8 7 1023 0132 2031 2103 1 1 1 1 0 1 -1 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 3 -3 0 0 0 0 0 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.533134333177 0.912584826007 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0110_12']), 'c_1001_10' : d['c_0101_12'], 'c_1001_12' : d['c_0101_10'], 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0101_12']), 'c_1001_1' : d['c_0011_5'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0110_7'], 'c_1001_2' : negation(d['c_0011_3']), 'c_1001_9' : d['c_0011_11'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : negation(d['c_0101_12']), 'c_1010_11' : negation(d['c_0011_7']), 'c_1010_10' : d['c_0110_12'], 's_0_10' : d['1'], 's_3_10' : 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' : 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' : 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' : d['c_0011_11'], 'c_1100_8' : d['c_0101_12'], 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : negation(d['c_0101_11']), 'c_1100_4' : d['c_0101_10'], 'c_1100_7' : negation(d['c_0110_12']), 'c_1100_6' : negation(d['c_0101_10']), 'c_1100_1' : negation(d['c_0101_11']), 'c_1100_0' : negation(d['c_0101_3']), 'c_1100_3' : negation(d['c_0101_3']), 'c_1100_2' : negation(d['c_0110_12']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_11']), 'c_1100_10' : negation(d['c_0011_11']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_12'], 'c_1010_6' : d['c_0101_10'], 'c_1010_5' : negation(d['c_0110_12']), 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : negation(d['c_0011_3']), 'c_1010_9' : d['c_0110_7'], 'c_1010_8' : d['c_0110_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' : negation(d['c_0110_7']), '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_7'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_3'], 'c_0110_10' : d['c_0011_7'], 'c_0110_12' : d['c_0110_12'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_0'], 'c_0101_7' : d['c_0011_11'], 'c_0101_6' : d['c_0011_11'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_7'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_5'], 'c_0101_1' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : d['c_0011_7'], 'c_0011_10' : negation(d['c_0011_0']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : negation(d['c_0101_10']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_11'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0110_7'], 'c_0110_6' : d['c_0011_5']})} 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_11, c_0011_3, c_0011_5, c_0011_7, c_0101_0, c_0101_10, c_0101_11, c_0101_12, c_0101_3, c_0110_12, c_0110_7, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 23488534281233501724/24261639056569646875*c_1001_0^11 - 49177718618443946957/4852327811313929375*c_1001_0^10 + 996985750833479376/1866279927428434375*c_1001_0^9 + 94236725858953523038/1866279927428434375*c_1001_0^8 + 5088080382162281539626/24261639056569646875*c_1001_0^7 + 122180381869851831844/373255985485686875*c_1001_0^6 + 8066890759090669322957/24261639056569646875*c_1001_0^5 + 15993265279663666756607/24261639056569646875*c_1001_0^4 + 1834288503816228049324/4852327811313929375*c_1001_0^3 + 962116889007587716708/2205603550597240625*c_1001_0^2 + 5647554052340703426268/24261639056569646875*c_1001_0 + 3867881758259623223393/24261639056569646875, c_0011_0 - 1, c_0011_11 + 112884292184/321253134361*c_1001_0^11 + 1595331463968/321253134361*c_1001_0^10 + 5688251065998/321253134361*c_1001_0^9 + 13603237500251/321253134361*c_1001_0^8 + 20442398701994/321253134361*c_1001_0^7 + 24687897262412/321253134361*c_1001_0^6 + 33494879771476/321253134361*c_1001_0^5 + 25034691183876/321253134361*c_1001_0^4 + 22252348813009/321253134361*c_1001_0^3 + 13778909553477/321253134361*c_1001_0^2 + 7457828080424/321253134361*c_1001_0 + 1077094326581/321253134361, c_0011_3 + 192920462602/321253134361*c_1001_0^11 + 2867057925590/321253134361*c_1001_0^10 + 11679474613117/321253134361*c_1001_0^9 + 29900103884270/321253134361*c_1001_0^8 + 50102766625152/321253134361*c_1001_0^7 + 63118199566309/321253134361*c_1001_0^6 + 80644672836118/321253134361*c_1001_0^5 + 75970651391341/321253134361*c_1001_0^4 + 59312288422766/321253134361*c_1001_0^3 + 42403351715485/321253134361*c_1001_0^2 + 23399380198620/321253134361*c_1001_0 + 7511436612019/321253134361, c_0011_5 - 169441321572/321253134361*c_1001_0^11 - 2598746495519/321253134361*c_1001_0^10 - 11387737177650/321253134361*c_1001_0^9 - 30176325645979/321253134361*c_1001_0^8 - 53079884137400/321253134361*c_1001_0^7 - 68317101910101/321253134361*c_1001_0^6 - 85515198735707/321253134361*c_1001_0^5 - 87096147222605/321253134361*c_1001_0^4 - 66050085236888/321253134361*c_1001_0^3 - 49614125689955/321253134361*c_1001_0^2 - 27204447667162/321253134361*c_1001_0 - 10315704137550/321253134361, c_0011_7 + 24757038985/321253134361*c_1001_0^11 + 310490058737/321253134361*c_1001_0^10 + 694110491697/321253134361*c_1001_0^9 + 1046959943660/321253134361*c_1001_0^8 - 61646732120/321253134361*c_1001_0^7 - 1160685216092/321253134361*c_1001_0^6 - 217887225467/321253134361*c_1001_0^5 - 4656214293357/321253134361*c_1001_0^4 - 1817716310104/321253134361*c_1001_0^3 - 2929265413563/321253134361*c_1001_0^2 - 1697732564010/321253134361*c_1001_0 - 1191098995093/321253134361, c_0101_0 - 1, c_0101_10 - 121662982197/321253134361*c_1001_0^11 - 1695811124588/321253134361*c_1001_0^10 - 5788798953626/321253134361*c_1001_0^9 - 13342203660392/321253134361*c_1001_0^8 - 18634363623647/321253134361*c_1001_0^7 - 21064063864820/321253134361*c_1001_0^6 - 29187563201189/321253134361*c_1001_0^5 - 18660089982256/321253134361*c_1001_0^4 - 17385828133322/321253134361*c_1001_0^3 - 8616059566672/321253134361*c_1001_0^2 - 5255007609324/321253134361*c_1001_0 + 571163683930/321253134361, c_0101_11 + 23479141030/321253134361*c_1001_0^11 + 268311430071/321253134361*c_1001_0^10 + 291737435467/321253134361*c_1001_0^9 - 276221761709/321253134361*c_1001_0^8 - 2977117512248/321253134361*c_1001_0^7 - 5198902343792/321253134361*c_1001_0^6 - 4870525899589/321253134361*c_1001_0^5 - 11125495831264/321253134361*c_1001_0^4 - 6737796814122/321253134361*c_1001_0^3 - 7210773974470/321253134361*c_1001_0^2 - 3805067468542/321253134361*c_1001_0 - 2804267525531/321253134361, c_0101_12 + 70493781658/321253134361*c_1001_0^11 + 1053272492851/321253134361*c_1001_0^10 + 4353857893508/321253134361*c_1001_0^9 + 11308178770052/321253134361*c_1001_0^8 + 19414388989591/321253134361*c_1001_0^7 + 25192057746534/321253134361*c_1001_0^6 + 32537787957595/321253134361*c_1001_0^5 + 31456798644704/321253134361*c_1001_0^4 + 24996317427690/321253134361*c_1001_0^3 + 18222595439558/321253134361*c_1001_0^2 + 10143089381942/321253134361*c_1001_0 + 3566465205828/321253134361, c_0101_3 + 192920462602/321253134361*c_1001_0^11 + 2867057925590/321253134361*c_1001_0^10 + 11679474613117/321253134361*c_1001_0^9 + 29900103884270/321253134361*c_1001_0^8 + 50102766625152/321253134361*c_1001_0^7 + 63118199566309/321253134361*c_1001_0^6 + 80644672836118/321253134361*c_1001_0^5 + 75970651391341/321253134361*c_1001_0^4 + 59312288422766/321253134361*c_1001_0^3 + 42403351715485/321253134361*c_1001_0^2 + 23078127064259/321253134361*c_1001_0 + 7511436612019/321253134361, c_0110_12 - 11018569415/321253134361*c_1001_0^11 - 100362250862/321253134361*c_1001_0^10 + 238317002717/321253134361*c_1001_0^9 + 1616659421749/321253134361*c_1001_0^8 + 5172926757100/321253134361*c_1001_0^7 + 8516539196838/321253134361*c_1001_0^6 + 9400218797772/321253134361*c_1001_0^5 + 13473230271211/321253134361*c_1001_0^4 + 9598896573911/321253134361*c_1001_0^3 + 8694987609334/321253134361*c_1001_0^2 + 4765014859208/321253134361*c_1001_0 + 2498436961176/321253134361, c_0110_7 + 83025505843/321253134361*c_1001_0^11 + 1263397257033/321253134361*c_1001_0^10 + 5439781027873/321253134361*c_1001_0^9 + 14291488251673/321253134361*c_1001_0^8 + 24798672013269/321253134361*c_1001_0^7 + 31648188471374/321253134361*c_1001_0^6 + 39711033602475/321253134361*c_1001_0^5 + 39909879130009/321253134361*c_1001_0^4 + 30564172843384/321253134361*c_1001_0^3 + 22306295335822/321253134361*c_1001_0^2 + 12563144937689/321253134361*c_1001_0 + 4779170633049/321253134361, c_1001_0^12 + 15*c_1001_0^11 + 63*c_1001_0^10 + 169*c_1001_0^9 + 301*c_1001_0^8 + 410*c_1001_0^7 + 532*c_1001_0^6 + 532*c_1001_0^5 + 470*c_1001_0^4 + 338*c_1001_0^3 + 218*c_1001_0^2 + 93*c_1001_0 + 25 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.450 Total time: 0.660 seconds, Total memory usage: 32.09MB