Magma V2.19-8 Tue Aug 20 2013 23:44:23 on localhost [Seed = 1999704818] Type ? for help. Type -D to quit. Loading file "L14n33108__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n33108 geometric_solution 10.19487651 oriented_manifold CS_known -0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 0 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 -1 0 0 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 0.301014876771 0.775657370389 0 5 7 6 0132 0132 0132 0132 0 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 -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 0.565167205992 1.120480373519 7 0 8 4 0213 0132 0132 2310 0 1 0 1 0 1 0 -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 -3 -1 4 0 0 0 0 0 0 0 0 -4 1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.192095006899 0.862353482844 9 8 6 0 0132 3201 3012 0132 0 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 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 0.328640197534 0.648845408903 2 10 0 5 3201 0132 0132 3012 0 0 0 1 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 -4 3 1 0 0 -1 1 -4 4 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.104177263688 1.229429717946 7 1 4 8 2031 0132 1230 0321 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 0 0 0 0 0 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 -0.068431859202 0.807586592114 9 3 1 10 2103 1230 0132 3012 0 0 1 0 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 4 -4 0 0 0 0 -3 -1 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.770151485638 0.744324062567 2 10 5 1 0213 0321 1302 0132 0 0 1 1 0 -1 0 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 4 0 -4 0 0 -1 1 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.578577640863 0.617570689566 9 5 3 2 3201 0321 2310 0132 0 1 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 0 1 0 0 0 0 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.259321095340 0.605128806877 3 10 6 8 0132 1023 2103 2310 1 0 1 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 -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 1.718175862474 1.329965530409 9 4 6 7 1023 0132 1230 0321 0 1 1 0 0 -1 0 1 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 4 0 -4 0 0 -4 4 1 -1 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.259321095340 0.605128806877 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0101_5']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : negation(d['c_0011_8']), 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0110_4']), 'c_1001_3' : negation(d['c_0011_6']), 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : d['c_0110_4'], 'c_1010_10' : d['c_1001_1'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0011_6'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : 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_1100_9' : d['c_0011_8'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0110_4'], 'c_1100_4' : negation(d['c_1001_5']), 'c_1100_7' : d['c_0101_5'], 'c_1100_6' : d['c_0101_5'], 'c_1100_1' : d['c_0101_5'], 'c_1100_0' : negation(d['c_1001_5']), 'c_1100_3' : negation(d['c_1001_5']), 'c_1100_2' : negation(d['c_0011_10']), 'c_1100_10' : negation(d['c_0011_8']), 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : negation(d['c_0011_6']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : negation(d['c_0110_4']), 'c_1010_2' : negation(d['c_0110_4']), 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : negation(d['c_0011_7']), 'c_1010_8' : d['c_1001_1'], 'c_1100_8' : negation(d['c_0011_10']), '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'], '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_10'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), '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_10' : negation(d['c_0011_7']), 'c_0101_7' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_6']), 'c_0101_2' : d['c_0011_7'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0011_6'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_6']), 'c_0110_8' : d['c_0011_7'], '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_0101_1']), 'c_0110_5' : negation(d['c_0011_8']), 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_8'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_6, c_0011_7, c_0011_8, c_0101_0, c_0101_1, c_0101_5, c_0110_4, c_1001_1, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 4442416421/2606548064*c_1001_5^7 + 194512095347/13032740320*c_1001_5^6 + 140914678879/6516370160*c_1001_5^5 - 125772478529/13032740320*c_1001_5^4 + 172734029067/6516370160*c_1001_5^3 + 299383442303/13032740320*c_1001_5^2 - 165331663191/13032740320*c_1001_5 + 27874193003/3258185080, c_0011_0 - 1, c_0011_10 - 18271215/325818508*c_1001_5^7 - 192037611/325818508*c_1001_5^6 - 124025532/81454627*c_1001_5^5 - 162825947/325818508*c_1001_5^4 + 28793471/81454627*c_1001_5^3 - 703527867/325818508*c_1001_5^2 + 157649859/325818508*c_1001_5 + 119260678/81454627, c_0011_6 - 81695/162909254*c_1001_5^7 + 20521437/162909254*c_1001_5^6 + 99969441/81454627*c_1001_5^5 + 409747009/162909254*c_1001_5^4 + 69756643/81454627*c_1001_5^3 + 356983847/162909254*c_1001_5^2 + 396644749/162909254*c_1001_5 + 12303758/81454627, c_0011_7 - 185430935/325818508*c_1001_5^7 - 1740693729/325818508*c_1001_5^6 - 1723573617/162909254*c_1001_5^5 - 1067985105/325818508*c_1001_5^4 - 1597675665/162909254*c_1001_5^3 - 3565883073/325818508*c_1001_5^2 + 267592893/325818508*c_1001_5 + 188387085/81454627, c_0011_8 - 18271215/325818508*c_1001_5^7 - 192037611/325818508*c_1001_5^6 - 124025532/81454627*c_1001_5^5 - 162825947/325818508*c_1001_5^4 + 28793471/81454627*c_1001_5^3 - 703527867/325818508*c_1001_5^2 + 157649859/325818508*c_1001_5 + 119260678/81454627, c_0101_0 - 1, c_0101_1 + 1, c_0101_5 - 6586020/81454627*c_1001_5^7 - 109078441/162909254*c_1001_5^6 - 57467054/81454627*c_1001_5^5 + 132873427/162909254*c_1001_5^4 - 121244960/81454627*c_1001_5^3 + 10086897/162909254*c_1001_5^2 + 51748340/81454627*c_1001_5 + 10656113/81454627, c_0110_4 - 6586020/81454627*c_1001_5^7 - 109078441/162909254*c_1001_5^6 - 57467054/81454627*c_1001_5^5 + 132873427/162909254*c_1001_5^4 - 121244960/81454627*c_1001_5^3 + 10086897/162909254*c_1001_5^2 + 51748340/81454627*c_1001_5 + 10656113/81454627, c_1001_1 - 6586020/81454627*c_1001_5^7 - 109078441/162909254*c_1001_5^6 - 57467054/81454627*c_1001_5^5 + 132873427/162909254*c_1001_5^4 - 121244960/81454627*c_1001_5^3 + 10086897/162909254*c_1001_5^2 + 133202967/81454627*c_1001_5 + 10656113/81454627, c_1001_5^8 + 47/5*c_1001_5^7 + 94/5*c_1001_5^6 + 7*c_1001_5^5 + 102/5*c_1001_5^4 + 23*c_1001_5^3 + 13/5*c_1001_5^2 + 4/5*c_1001_5 + 16/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB