Magma V2.19-8 Wed Aug 21 2013 01:04:35 on localhost [Seed = 1377061418] Type ? for help. Type -D to quit. Loading file "L14n24408__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n24408 geometric_solution 12.23700233 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 0 1 1 0 0 0 0 0 0 1 -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 0 1 -1 -1 0 -1 2 -4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.293251883900 0.826932619923 0 5 7 6 0132 0132 0132 0132 0 0 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 1 -2 1 1 0 0 -1 0 1 0 -1 4 1 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.700895080032 0.832225276375 8 0 7 9 0132 0132 3012 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.395630301599 0.656116076587 5 8 9 0 3120 0321 0132 0132 1 0 1 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 1 0 -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 0.292236317930 0.663140005921 10 11 0 7 0132 0132 0132 3012 1 0 0 1 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 -1 1 0 0 0 -2 2 0 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.951843395175 1.357345614052 11 1 10 3 2310 0132 3120 3120 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 -1 1 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 0.700895080032 0.832225276375 11 9 1 12 0321 2103 0132 0132 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 0 0 0 0 0 0 0 0 0 0 -1 1 0 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 0.752392523956 0.704955051285 10 2 4 1 3120 1230 1230 0132 0 0 1 1 0 0 1 -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 -2 2 0 0 0 0 -5 0 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.810680133526 0.638963666034 2 11 12 3 0132 2310 3012 0321 1 0 1 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 -4 5 -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 0.708516188399 1.244628794034 12 6 2 3 3012 2103 0132 0132 1 0 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 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 1.443525523747 1.262746841634 4 12 5 7 0132 2031 3120 3120 1 0 1 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 0 0 0 0 -5 0 5 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.239138666390 0.599697373799 6 4 5 8 0321 0132 3201 3201 1 1 1 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 1 -1 0 1 0 -1 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.293251883900 0.826932619923 10 8 6 9 1302 1230 0132 1230 0 0 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 0 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.119213501174 0.670016524790 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0011_10']), 'c_1001_11' : negation(d['c_0101_5']), 'c_1001_10' : negation(d['c_0011_9']), 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_0011_9'], 'c_1001_4' : d['c_0011_12'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_0011_9'], 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : negation(d['c_1001_12']), 'c_1001_2' : d['c_0011_12'], 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : negation(d['c_0011_12']), 'c_1010_12' : d['c_0101_8'], 'c_1010_11' : d['c_0011_12'], 'c_1010_10' : d['c_0011_12'], 's_0_10' : d['1'], 's_0_11' : negation(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_0101_0']), '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' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(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' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_1001_7']), 'c_1100_8' : negation(d['c_1001_12']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_10']), 'c_1100_4' : negation(d['c_1001_7']), 'c_1100_7' : d['c_0101_10'], 'c_1100_6' : d['c_0101_10'], 'c_1100_1' : d['c_0101_10'], 'c_1100_0' : negation(d['c_1001_7']), 'c_1100_3' : negation(d['c_1001_7']), 'c_1100_2' : negation(d['c_1001_7']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_0']), 'c_1100_10' : negation(d['c_0101_5']), 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_3']), 'c_1010_6' : d['c_1001_12'], 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : d['c_0011_9'], 'c_1010_0' : d['c_0011_12'], 'c_1010_9' : negation(d['c_1001_12']), 'c_1010_8' : d['c_0011_6'], 's_3_1' : negation(d['1']), 's_3_0' : negation(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_0101_10'], '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' : 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' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_12']), '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' : negation(d['c_0011_6']), 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : d['c_0011_9'], 'c_0101_12' : negation(d['c_0011_10']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_5'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_10'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_8'], '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_0101_10'], 'c_0110_8' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0011_10' : d['c_0011_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_12, c_0011_3, c_0011_6, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_5, c_0101_8, c_1001_12, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 2258487808/333278449*c_1001_7^9 - 41079938048/333278449*c_1001_7^8 - 1246830848/47611207*c_1001_7^7 + 8124584704/47611207*c_1001_7^6 - 48220299648/333278449*c_1001_7^5 - 38946603776/333278449*c_1001_7^4 + 30758220352/333278449*c_1001_7^3 + 8534927552/333278449*c_1001_7^2 + 24368585536/333278449*c_1001_7 - 49119850048/333278449, c_0011_0 - 1, c_0011_10 + 620672/357979*c_1001_7^9 + 116352/357979*c_1001_7^8 - 394512/357979*c_1001_7^7 + 973080/357979*c_1001_7^6 + 93664/357979*c_1001_7^5 - 207840/357979*c_1001_7^4 + 546704/357979*c_1001_7^3 - 448816/357979*c_1001_7^2 + 259441/357979*c_1001_7 - 39814/357979, c_0011_12 - 439296/357979*c_1001_7^9 + 147984/357979*c_1001_7^8 + 540272/357979*c_1001_7^7 - 665688/357979*c_1001_7^6 + 256176/357979*c_1001_7^5 + 189332/357979*c_1001_7^4 - 724768/357979*c_1001_7^3 + 532640/357979*c_1001_7^2 - 12794/357979*c_1001_7 + 171179/357979, c_0011_3 + 223808/357979*c_1001_7^9 - 173024/357979*c_1001_7^8 - 4056/357979*c_1001_7^7 + 615768/357979*c_1001_7^6 - 553580/357979*c_1001_7^5 - 305280/357979*c_1001_7^4 + 607900/357979*c_1001_7^3 - 553408/357979*c_1001_7^2 + 89233/357979*c_1001_7 + 19234/357979, c_0011_6 - 31456/18841*c_1001_7^9 + 33456/18841*c_1001_7^8 + 51840/18841*c_1001_7^7 - 114368/18841*c_1001_7^6 + 6288/18841*c_1001_7^5 + 84996/18841*c_1001_7^4 - 78468/18841*c_1001_7^3 + 16576/18841*c_1001_7^2 + 6690/18841*c_1001_7 - 8479/18841, c_0011_9 - 155840/357979*c_1001_7^9 - 35120/357979*c_1001_7^8 + 386088/357979*c_1001_7^7 + 85528/357979*c_1001_7^6 - 362228/357979*c_1001_7^5 + 454976/357979*c_1001_7^4 + 275268/357979*c_1001_7^3 - 315054/357979*c_1001_7^2 + 118647/357979*c_1001_7 - 2849/357979, c_0101_0 - 1, c_0101_1 - 40528/357979*c_1001_7^9 - 500160/357979*c_1001_7^8 + 51304/357979*c_1001_7^7 + 311272/357979*c_1001_7^6 - 761792/357979*c_1001_7^5 + 99504/357979*c_1001_7^4 + 433388/357979*c_1001_7^3 - 419404/357979*c_1001_7^2 + 338519/357979*c_1001_7 + 58910/357979, c_0101_10 + 193984/357979*c_1001_7^9 - 167984/357979*c_1001_7^8 + 71008/357979*c_1001_7^7 + 548044/357979*c_1001_7^6 - 521168/357979*c_1001_7^5 + 125216/357979*c_1001_7^4 + 411832/357979*c_1001_7^3 - 406265/357979*c_1001_7^2 + 68129/357979*c_1001_7 - 126249/715958, c_0101_5 + 373552/357979*c_1001_7^9 + 216496/357979*c_1001_7^8 - 339464/357979*c_1001_7^7 + 495656/357979*c_1001_7^6 + 724048/357979*c_1001_7^5 - 377276/357979*c_1001_7^4 - 21636/357979*c_1001_7^3 + 28134/357979*c_1001_7^2 - 7609/357979*c_1001_7 - 81269/357979, c_0101_8 - 116352/357979*c_1001_7^9 - 226160/357979*c_1001_7^8 + 268264/357979*c_1001_7^7 + 61504/357979*c_1001_7^6 - 568000/357979*c_1001_7^5 + 229136/357979*c_1001_7^4 + 138480/357979*c_1001_7^3 - 539836/357979*c_1001_7^2 + 117398/357979*c_1001_7 - 222207/357979, c_1001_12 + 13024/357979*c_1001_7^9 - 155840/357979*c_1001_7^8 - 48144/357979*c_1001_7^7 + 412136/357979*c_1001_7^6 + 88784/357979*c_1001_7^5 - 378508/357979*c_1001_7^4 + 471256/357979*c_1001_7^3 + 268756/357979*c_1001_7^2 - 313426/357979*c_1001_7 + 120275/357979, c_1001_7^10 - c_1001_7^8 + 2*c_1001_7^7 + 1/4*c_1001_7^6 - 5/4*c_1001_7^5 + 5/4*c_1001_7^4 - 1/2*c_1001_7^3 + 1/8*c_1001_7^2 + 1/8*c_1001_7 + 7/32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.350 Total time: 0.560 seconds, Total memory usage: 32.09MB