Magma V2.19-8 Wed Aug 21 2013 01:12:08 on localhost [Seed = 2699476663] Type ? for help. Type -D to quit. Loading file "L14n58718__sl2_c4.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n58718 geometric_solution 12.15159549 oriented_manifold CS_known -0.0000000000000003 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 1 1 0 2 0 0 1 -1 -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 0 -1 0 0 0 0 -2 1 0 1 -1 5 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.483524320408 1.603604373610 0 5 3 6 0132 0132 1023 0132 1 1 2 0 0 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 0 0 0 0 1 0 0 -1 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.118169464575 1.420259287755 3 0 8 7 1023 0132 0132 0132 1 1 2 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 -1 0 1 0 0 0 0 4 -5 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.527366619000 0.797476510511 5 2 1 0 0132 1023 1023 0132 1 1 2 0 0 0 1 -1 0 0 1 -1 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 0 0 0 0 0 0 0 0 -4 0 4 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.023801052092 0.392270971774 8 9 0 6 0132 0132 0132 1023 1 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 0 0 0 0 0 0 0 0 0 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 0.683487787885 0.975016983671 3 1 10 9 0132 0132 0132 3120 1 1 0 2 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 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 0.582835187585 0.950508476279 10 7 1 4 0132 2103 0132 1023 1 1 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 0 0 0 0 0 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 0.447111953577 0.775613074763 10 6 2 11 1302 2103 0132 0132 1 1 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 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 -0.037760080766 1.045180700186 4 9 11 2 0132 0321 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.890064099973 0.635943716432 5 4 12 8 3120 0132 0132 0321 1 1 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 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 1.006900807098 0.767699727747 6 7 12 5 0132 2031 3012 0132 1 1 2 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 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 0.990377973146 0.619600064460 8 11 7 11 2310 1302 0132 2031 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 0.477284935135 0.806966514359 12 10 12 9 2310 1230 3201 0132 1 1 1 1 0 0 -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 -1 1 1 0 -1 0 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.845825913916 1.003776240952 ==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_12']), 'c_1001_5' : d['c_0011_7'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : d['c_0011_7'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : negation(d['c_0011_10']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_10'], 'c_1001_8' : negation(d['c_0011_12']), 'c_1010_12' : d['c_0101_10'], 'c_1010_11' : d['c_0011_11'], 'c_1010_10' : d['c_0011_7'], '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_0011_12'], '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' : negation(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' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0011_12']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_12'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0011_11']), 'c_1100_6' : negation(d['c_1100_0']), 'c_1100_1' : negation(d['c_1100_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0011_11']), 's_3_11' : negation(d['1']), 'c_1100_11' : negation(d['c_0011_11']), 'c_1100_10' : d['c_0101_12'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_8']), 'c_1010_6' : d['c_0101_8'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : d['c_0101_10'], 'c_1010_3' : negation(d['c_0011_10']), 'c_1010_2' : negation(d['c_0011_10']), 'c_1010_1' : d['c_0011_7'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_1001_2'], 'c_1100_8' : negation(d['c_0011_11']), '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' : negation(d['c_0011_12']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_10']), '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' : negation(d['c_0101_8']), 'c_0110_10' : d['c_0101_0'], 'c_0110_12' : negation(d['c_0101_12']), 'c_0101_12' : d['c_0101_12'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_12']), 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_4'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_10']), 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : d['c_0011_12'], 'c_0110_6' : d['c_0101_10']})} 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_4, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_8, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 36825699028128098152452/1219833226397212973*c_1100_0^10 - 44516494872741320300940/93833325107477921*c_1100_0^9 - 4075259251871505006122295/1219833226397212973*c_1100_0^8 - 17156342156828832957608228/1219833226397212973*c_1100_0^7 - 13833814714443479213418729/348523778970632278*c_1100_0^6 - 2192915136998324039992771/26809521459279406*c_1100_0^5 - 158600751835206578080701131/1219833226397212973*c_1100_0^4 - 381099129844662786455481715/2439666452794425946*c_1100_0^3 - 315841008732884112324211877/2439666452794425946*c_1100_0^2 - 77995191124474726442715745/1219833226397212973*c_1100_0 - 17048276359582816661863621/1219833226397212973, c_0011_0 - 1, c_0011_10 + 731433620648/9225575175251*c_1100_0^10 + 9991848359340/9225575175251*c_1100_0^9 + 59202972044580/9225575175251*c_1100_0^8 + 201542063268254/9225575175251*c_1100_0^7 + 434760542453758/9225575175251*c_1100_0^6 + 660595570684166/9225575175251*c_1100_0^5 + 717384429794670/9225575175251*c_1100_0^4 + 325152630433569/9225575175251*c_1100_0^3 - 364561178115034/9225575175251*c_1100_0^2 - 575145305492335/9225575175251*c_1100_0 - 224668403024569/9225575175251, c_0011_11 - 5089549346208/9225575175251*c_1100_0^10 - 79436632619660/9225575175251*c_1100_0^9 - 554893728465934/9225575175251*c_1100_0^8 - 2314795164875672/9225575175251*c_1100_0^7 - 6467438088869819/9225575175251*c_1100_0^6 - 13200401050695352/9225575175251*c_1100_0^5 - 20796933898768099/9225575175251*c_1100_0^4 - 24684887622636471/9225575175251*c_1100_0^3 - 20058950786958128/9225575175251*c_1100_0^2 - 9624484592598634/9225575175251*c_1100_0 - 2020973364600348/9225575175251, c_0011_12 + 462710271588/9225575175251*c_1100_0^10 + 9347529835974/9225575175251*c_1100_0^9 + 80745869073206/9225575175251*c_1100_0^8 + 400918612391579/9225575175251*c_1100_0^7 + 1293410218945303/9225575175251*c_1100_0^6 + 2926019735334962/9225575175251*c_1100_0^5 + 4999350581152839/9225575175251*c_1100_0^4 + 6572972489760684/9225575175251*c_1100_0^3 + 6036795508824333/9225575175251*c_1100_0^2 + 3261652005616500/9225575175251*c_1100_0 + 752195712054969/9225575175251, c_0011_4 - 2852966621076/9225575175251*c_1100_0^10 - 44534432594814/9225575175251*c_1100_0^9 - 310804001261250/9225575175251*c_1100_0^8 - 1293473560181625/9225575175251*c_1100_0^7 - 3599078137281433/9225575175251*c_1100_0^6 - 7304901072840225/9225575175251*c_1100_0^5 - 11440247252713246/9225575175251*c_1100_0^4 - 13474986484692163/9225575175251*c_1100_0^3 - 10776206119197868/9225575175251*c_1100_0^2 - 5012259818355019/9225575175251*c_1100_0 - 1003486066917929/9225575175251, c_0011_7 + 2852966621076/9225575175251*c_1100_0^10 + 44534432594814/9225575175251*c_1100_0^9 + 310804001261250/9225575175251*c_1100_0^8 + 1293473560181625/9225575175251*c_1100_0^7 + 3599078137281433/9225575175251*c_1100_0^6 + 7304901072840225/9225575175251*c_1100_0^5 + 11440247252713246/9225575175251*c_1100_0^4 + 13474986484692163/9225575175251*c_1100_0^3 + 10776206119197868/9225575175251*c_1100_0^2 + 5021485393530270/9225575175251*c_1100_0 + 1003486066917929/9225575175251, c_0101_0 - 1, c_0101_1 - 1, c_0101_10 + 731433620648/9225575175251*c_1100_0^10 + 9991848359340/9225575175251*c_1100_0^9 + 59202972044580/9225575175251*c_1100_0^8 + 201542063268254/9225575175251*c_1100_0^7 + 434760542453758/9225575175251*c_1100_0^6 + 660595570684166/9225575175251*c_1100_0^5 + 717384429794670/9225575175251*c_1100_0^4 + 325152630433569/9225575175251*c_1100_0^3 - 364561178115034/9225575175251*c_1100_0^2 - 575145305492335/9225575175251*c_1100_0 - 215442827849318/9225575175251, c_0101_12 - 4348559713408/9225575175251*c_1100_0^10 - 67140435602560/9225575175251*c_1100_0^9 - 463006864676972/9225575175251*c_1100_0^8 - 1903059406206038/9225575175251*c_1100_0^7 - 5228915525148960/9225575175251*c_1100_0^6 - 10499662075008883/9225575175251*c_1100_0^5 - 16290441321581574/9225575175251*c_1100_0^4 - 18932287936773615/9225575175251*c_1100_0^3 - 14847453028860622/9225575175251*c_1100_0^2 - 6751027308150156/9225575175251*c_1100_0 - 1319854844545174/9225575175251, c_0101_8 - 2852966621076/9225575175251*c_1100_0^10 - 44534432594814/9225575175251*c_1100_0^9 - 310804001261250/9225575175251*c_1100_0^8 - 1293473560181625/9225575175251*c_1100_0^7 - 3599078137281433/9225575175251*c_1100_0^6 - 7304901072840225/9225575175251*c_1100_0^5 - 11440247252713246/9225575175251*c_1100_0^4 - 13474986484692163/9225575175251*c_1100_0^3 - 10776206119197868/9225575175251*c_1100_0^2 - 5012259818355019/9225575175251*c_1100_0 - 994260491742678/9225575175251, c_1001_2 - 731433620648/9225575175251*c_1100_0^10 - 9991848359340/9225575175251*c_1100_0^9 - 59202972044580/9225575175251*c_1100_0^8 - 201542063268254/9225575175251*c_1100_0^7 - 434760542453758/9225575175251*c_1100_0^6 - 660595570684166/9225575175251*c_1100_0^5 - 717384429794670/9225575175251*c_1100_0^4 - 325152630433569/9225575175251*c_1100_0^3 + 364561178115034/9225575175251*c_1100_0^2 + 584370880667586/9225575175251*c_1100_0 + 224668403024569/9225575175251, c_1100_0^11 + 33/2*c_1100_0^10 + 123*c_1100_0^9 + 2211/4*c_1100_0^8 + 3361/2*c_1100_0^7 + 7483/2*c_1100_0^6 + 12867/2*c_1100_0^5 + 34219/4*c_1100_0^4 + 16699/2*c_1100_0^3 + 10967/2*c_1100_0^2 + 2125*c_1100_0 + 1453/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.070 Total time: 0.280 seconds, Total memory usage: 32.09MB