Magma V2.19-8 Wed Aug 21 2013 01:11:21 on localhost [Seed = 525928157] Type ? for help. Type -D to quit. Loading file "L14n56975__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n56975 geometric_solution 11.66151460 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 2 0 2 0 0 -1 0 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 1 -2 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 1.477523200575 0.927248550508 0 5 7 6 0132 0132 0132 0132 2 0 0 2 0 0 0 0 1 0 0 -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 -2 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 0.093064650172 1.176936007612 8 0 5 9 0132 0132 2031 0132 2 2 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 -1 1 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 -0.017425355703 1.150487034239 10 8 9 0 0132 1230 1302 0132 2 0 0 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 1 0 -1 0 0 -1 1 -1 1 0 0 3 -4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.448193771024 0.442628509613 11 12 0 9 0132 0132 0132 0321 2 0 1 2 0 0 -1 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 2 -2 -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 0.742583145416 0.486425722800 12 1 6 2 3201 0132 2031 1302 2 2 2 0 0 0 0 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 0 0 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 0.491764136109 0.955367267975 10 11 1 5 2103 0321 0132 1302 2 0 2 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 0 -1 1 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.395037662127 0.904399623746 10 9 12 1 1302 1302 2103 0132 2 0 2 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 1 0 0 -1 -1 2 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.251790051089 1.069580916719 2 12 3 11 0132 3201 3012 3201 1 2 2 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 4 -4 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 0.316492189795 0.269133340808 3 4 2 7 2031 0321 0132 2031 2 2 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 2 0 -2 0 0 0 0 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.333296622386 0.916729919008 3 7 6 11 0132 2031 2103 0132 2 0 1 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 1 -1 0 0 0 0 0 -3 -1 0 4 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.162949804054 0.922135771026 4 8 10 6 0132 2310 0132 0321 2 0 2 1 0 0 0 0 -1 0 0 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 1 0 0 -1 0 -1 0 1 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.693729901765 1.094879368545 7 4 8 5 2103 0132 2310 2310 2 0 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 0.627613715296 0.706955698077 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_7'], 'c_1001_10' : d['c_0011_6'], 'c_1001_12' : d['c_0011_7'], 'c_1001_5' : negation(d['c_0110_6']), 'c_1001_4' : negation(d['c_0110_5']), 'c_1001_7' : d['c_0011_11'], 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_8'], 'c_1001_3' : d['c_0011_11'], 'c_1001_2' : negation(d['c_0110_5']), 'c_1001_9' : d['c_0101_8'], 'c_1001_8' : d['c_0011_10'], 'c_1010_12' : negation(d['c_0110_5']), 'c_1010_11' : negation(d['c_0101_2']), 'c_1010_10' : d['c_0011_7'], 's_0_10' : negation(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' : negation(d['c_0011_9']), 'c_0101_10' : d['c_0101_0'], 's_2_0' : negation(d['1']), 's_2_1' : negation(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' : d['1'], 's_2_7' : d['1'], 's_2_12' : negation(d['1']), 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0011_11']), 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : d['c_0101_2'], 'c_1100_4' : d['c_0101_8'], 'c_1100_7' : d['c_0101_5'], 'c_1100_6' : d['c_0101_5'], 'c_1100_1' : d['c_0101_5'], 'c_1100_0' : d['c_0101_8'], 'c_1100_3' : d['c_0101_8'], 'c_1100_2' : negation(d['c_1001_1']), 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_1001_1']), 'c_1100_11' : negation(d['c_0110_6']), 'c_1100_10' : negation(d['c_0110_6']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0011_7'], 'c_1010_3' : d['c_0101_8'], 'c_1010_2' : d['c_0101_8'], 'c_1010_1' : negation(d['c_0110_6']), 'c_1010_0' : negation(d['c_0110_5']), 'c_1010_9' : d['c_0011_7'], 'c_1010_8' : negation(d['c_0011_7']), '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' : d['1'], 's_3_4' : d['1'], 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0011_0'], '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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : negation(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_11']), 'c_0011_7' : d['c_0011_7'], '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_6']), 'c_0110_10' : negation(d['c_0011_9']), 'c_0110_12' : negation(d['c_0101_5']), 'c_0101_12' : negation(d['c_0011_10']), 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_6']), 'c_0101_3' : negation(d['c_0011_9']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_6']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0011_11'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_6']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_9']), 'c_0110_7' : negation(d['c_0011_6']), 'c_0110_6' : d['c_0110_6']})} 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_6, c_0011_7, c_0011_9, c_0101_0, c_0101_2, c_0101_5, c_0101_8, c_0110_5, c_0110_6, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 10476279688/84518555*c_1001_1^7 + 632836687369/338074220*c_1001_1^6 - 230182103351/67614844*c_1001_1^5 - 4553115899999/169037110*c_1001_1^4 - 11333385841649/338074220*c_1001_1^3 - 3158532660161/338074220*c_1001_1^2 + 51543714003/10905620*c_1001_1 + 332012596237/169037110, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 + 16015/80879*c_1001_1^7 - 496249/161758*c_1001_1^6 + 1078015/161758*c_1001_1^5 + 3239415/80879*c_1001_1^4 + 6249591/161758*c_1001_1^3 + 683447/161758*c_1001_1^2 - 30975/5218*c_1001_1 - 151009/80879, c_0011_6 - 25446/80879*c_1001_1^7 + 406675/80879*c_1001_1^6 - 1057798/80879*c_1001_1^5 - 4586815/80879*c_1001_1^4 - 2833216/80879*c_1001_1^3 + 291632/80879*c_1001_1^2 + 6946/2609*c_1001_1 + 29691/80879, c_0011_7 - 38383/161758*c_1001_1^7 + 311867/80879*c_1001_1^6 - 1762551/161758*c_1001_1^5 - 6445217/161758*c_1001_1^4 - 1307827/80879*c_1001_1^3 + 692021/80879*c_1001_1^2 + 9229/5218*c_1001_1 - 1965/80879, c_0011_9 - 70697/161758*c_1001_1^7 + 559270/80879*c_1001_1^6 - 2758741/161758*c_1001_1^5 - 13186531/161758*c_1001_1^4 - 5069780/80879*c_1001_1^3 - 65079/80879*c_1001_1^2 + 53913/5218*c_1001_1 + 241226/80879, c_0101_0 - 1, c_0101_2 + 4200/80879*c_1001_1^7 - 60678/80879*c_1001_1^6 + 68028/80879*c_1001_1^5 + 1086354/80879*c_1001_1^4 + 1428040/80879*c_1001_1^3 + 123177/80879*c_1001_1^2 - 9489/2609*c_1001_1 - 58642/80879, c_0101_5 - 42303/80879*c_1001_1^7 + 664191/80879*c_1001_1^6 - 1567231/80879*c_1001_1^5 - 8138531/80879*c_1001_1^4 - 6806216/80879*c_1001_1^3 - 688195/80879*c_1001_1^2 + 19129/2609*c_1001_1 + 174817/80879, c_0101_8 + 27830/80879*c_1001_1^7 - 435571/80879*c_1001_1^6 + 1009987/80879*c_1001_1^5 + 5392476/80879*c_1001_1^4 + 4821551/80879*c_1001_1^3 + 560270/80879*c_1001_1^2 - 18877/2609*c_1001_1 - 162497/80879, c_0110_5 - 41603/80879*c_1001_1^7 + 654078/80879*c_1001_1^6 - 1555893/80879*c_1001_1^5 - 7957472/80879*c_1001_1^4 - 6595169/80879*c_1001_1^3 - 465468/80879*c_1001_1^2 + 29288/2609*c_1001_1 + 272882/80879, c_0110_6 + 17137/80879*c_1001_1^7 - 277737/80879*c_1001_1^6 + 772781/80879*c_1001_1^5 + 2944756/80879*c_1001_1^4 + 1210478/80879*c_1001_1^3 - 969233/80879*c_1001_1^2 - 11772/2609*c_1001_1 - 25021/80879, c_1001_1^8 - 15*c_1001_1^7 + 26*c_1001_1^6 + 219*c_1001_1^5 + 295*c_1001_1^4 + 117*c_1001_1^3 - 18*c_1001_1^2 - 20*c_1001_1 - 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB