Magma V2.19-8 Tue Aug 20 2013 23:56:45 on localhost [Seed = 3920593388] Type ? for help. Type -D to quit. Loading file "L14n24614__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n24614 geometric_solution 10.93725049 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 0 1 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 0 0 0 1 -4 3 2 0 -1 -1 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.672958661958 0.729328336403 0 5 7 6 0132 0132 0132 0132 1 0 0 1 0 -1 1 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 3 -3 0 -2 0 0 2 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.345356112015 1.347598337283 3 0 9 8 0213 0132 0132 0132 1 0 0 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 -1 1 0 0 0 2 -2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.316649755923 0.740590358468 2 5 10 0 0213 1230 0132 0132 1 0 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 0 0 0 0 0 -4 4 -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 0.483220901631 0.530490768429 6 11 0 9 1302 0132 0132 3120 1 0 1 1 0 0 1 -1 0 0 -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 -3 3 1 0 1 -2 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.867636206884 0.723881479725 10 1 3 11 0321 0132 3012 3120 1 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 0 0 0 0 0 0 0 0 0 0 0 -3 0 3 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 0.096612060276 0.796179481838 7 4 1 8 0321 2031 0132 2103 1 0 1 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 -4 0 4 0 0 -2 2 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.178451670399 0.696328126095 6 9 8 1 0321 3201 2103 0132 1 0 1 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 -3 0 3 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 -0.178451670399 0.696328126095 7 10 2 6 2103 3201 0132 2103 1 0 1 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 2 -2 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.291655417728 0.600378867354 4 11 7 2 3120 0321 2310 0132 1 0 1 1 0 0 0 0 -1 0 0 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 1 -1 2 0 0 -2 0 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.244428046938 1.336747248915 5 11 8 3 0321 1230 2310 0132 1 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 -4 4 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 0.849803008973 1.237772615007 5 4 10 9 3120 0132 3012 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 0 0 0 0 0 0 0 0 -3 4 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.196944669955 0.633979236897 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : negation(d['c_0011_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_0011_11']), 'c_1001_0' : negation(d['c_0101_10']), 'c_1001_3' : d['c_0101_11'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_11'], 'c_1001_8' : negation(d['c_0101_10']), 'c_1010_11' : d['c_1001_2'], 'c_1010_10' : d['c_0101_11'], 's_0_10' : d['1'], 's_3_10' : 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' : negation(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' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : 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' : 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_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_11']), 'c_1100_4' : d['c_0011_8'], 'c_1100_7' : negation(d['c_0110_8']), 'c_1100_6' : negation(d['c_0110_8']), 'c_1100_1' : negation(d['c_0110_8']), 'c_1100_0' : d['c_0011_8'], 'c_1100_3' : d['c_0011_8'], 'c_1100_2' : d['c_0011_7'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_11'], 'c_1100_10' : d['c_0011_8'], 's_0_11' : negation(d['1']), 'c_1010_7' : negation(d['c_0011_11']), 'c_1010_6' : negation(d['c_0011_11']), 'c_1010_5' : negation(d['c_0011_11']), 'c_1010_4' : negation(d['c_0011_10']), 'c_1010_3' : negation(d['c_0101_10']), 'c_1010_2' : negation(d['c_0101_10']), 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_0011_11'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(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'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : negation(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' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_7'], 'c_0110_6' : negation(d['c_0011_7']), '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_10']), 'c_0110_10' : negation(d['c_0011_0']), 'c_0110_0' : negation(d['c_0011_6']), 'c_0011_6' : d['c_0011_6'], 'c_0101_7' : negation(d['c_0101_0']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_10']), 'c_0101_4' : negation(d['c_0011_6']), 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : negation(d['c_0011_6']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_8']), 'c_0101_8' : negation(d['c_0101_0']), 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_3'], 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0011_7'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : d['c_0011_3'], 'c_0110_7' : negation(d['c_0011_6']), 'c_1100_8' : d['c_0011_7']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_6, c_0011_7, c_0011_8, c_0101_0, c_0101_10, c_0101_11, c_0110_8, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 13780560336934169/601769838587904*c_1001_2^8 + 60412378688403923/472819158890496*c_1001_2^7 + 146816439831140917/601769838587904*c_1001_2^6 - 1388489706043843327/2206489408155648*c_1001_2^5 + 921595057251905203/945638317780992*c_1001_2^4 + 10171907236092295415/6619468224466944*c_1001_2^3 - 2284804622339171929/2206489408155648*c_1001_2^2 + 1782199575288424015/1654867056116736*c_1001_2 + 31716114489344770271/6619468224466944, c_0011_0 - 1, c_0011_10 + 41480064/8550693701*c_1001_2^8 + 23314505/777335791*c_1001_2^7 + 582052744/8550693701*c_1001_2^6 - 1099026960/8550693701*c_1001_2^5 - 265786267/8550693701*c_1001_2^4 + 866092180/8550693701*c_1001_2^3 + 4385852143/8550693701*c_1001_2^2 - 840461695/8550693701*c_1001_2 + 326803244/777335791, c_0011_11 + 17441679/8550693701*c_1001_2^8 + 2342581/777335791*c_1001_2^7 - 248730511/8550693701*c_1001_2^6 - 1494091625/8550693701*c_1001_2^5 + 2077482856/8550693701*c_1001_2^4 - 1413796026/8550693701*c_1001_2^3 - 3442002051/8550693701*c_1001_2^2 - 546822658/8550693701*c_1001_2 + 196223892/777335791, c_0011_3 - 7566897/8550693701*c_1001_2^8 - 3182831/777335791*c_1001_2^7 - 85840936/8550693701*c_1001_2^6 + 110573996/8550693701*c_1001_2^5 - 483991742/8550693701*c_1001_2^4 + 2190997620/8550693701*c_1001_2^3 - 2308259223/8550693701*c_1001_2^2 - 5116605242/8550693701*c_1001_2 + 359928305/777335791, c_0011_6 + 7566897/8550693701*c_1001_2^8 + 3182831/777335791*c_1001_2^7 + 85840936/8550693701*c_1001_2^6 - 110573996/8550693701*c_1001_2^5 + 483991742/8550693701*c_1001_2^4 - 2190997620/8550693701*c_1001_2^3 + 2308259223/8550693701*c_1001_2^2 - 3434088459/8550693701*c_1001_2 - 359928305/777335791, c_0011_7 - 7566897/8550693701*c_1001_2^8 - 3182831/777335791*c_1001_2^7 - 85840936/8550693701*c_1001_2^6 + 110573996/8550693701*c_1001_2^5 - 483991742/8550693701*c_1001_2^4 + 2190997620/8550693701*c_1001_2^3 - 2308259223/8550693701*c_1001_2^2 + 3434088459/8550693701*c_1001_2 + 359928305/777335791, c_0011_8 + 7566897/8550693701*c_1001_2^8 + 3182831/777335791*c_1001_2^7 + 85840936/8550693701*c_1001_2^6 - 110573996/8550693701*c_1001_2^5 + 483991742/8550693701*c_1001_2^4 - 2190997620/8550693701*c_1001_2^3 + 2308259223/8550693701*c_1001_2^2 + 5116605242/8550693701*c_1001_2 - 359928305/777335791, c_0101_0 - 1, c_0101_10 - 1, c_0101_11 - 26346270/8550693701*c_1001_2^8 - 16948843/777335791*c_1001_2^7 - 410370872/8550693701*c_1001_2^6 + 877878968/8550693701*c_1001_2^5 + 1233769751/8550693701*c_1001_2^4 - 5248087420/8550693701*c_1001_2^3 + 230666303/8550693701*c_1001_2^2 + 2522978478/8550693701*c_1001_2 + 508011728/777335791, c_0110_8 + 4925290/777335791*c_1001_2^8 + 20430399/777335791*c_1001_2^7 + 8925066/777335791*c_1001_2^6 - 238308048/777335791*c_1001_2^5 + 334354270/777335791*c_1001_2^4 + 127035902/777335791*c_1001_2^3 - 779763680/777335791*c_1001_2^2 + 238384512/777335791*c_1001_2 + 526083131/777335791, c_1001_2^9 + 6*c_1001_2^8 + 13*c_1001_2^7 - 23*c_1001_2^6 + 31*c_1001_2^5 + 85*c_1001_2^4 - 17*c_1001_2^3 + 28*c_1001_2^2 + 229*c_1001_2 + 88 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.120 Total time: 0.330 seconds, Total memory usage: 32.09MB