Magma V2.19-8 Wed Aug 21 2013 00:59:10 on localhost [Seed = 189599854] Type ? for help. Type -D to quit. Loading file "L13n6615__sl2_c4.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n6615 geometric_solution 12.07406134 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 2 1 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 -1 1 0 0 1 -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 1.294509259323 0.987810363125 0 5 5 6 0132 0132 1302 0132 2 1 1 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 5 -5 0 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 0.055268733379 1.045581828126 4 0 8 7 0213 0132 0132 0132 1 2 1 2 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 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 0.422059001061 1.114310072667 9 9 9 0 0132 1302 3012 0132 1 1 1 0 0 -1 0 1 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 -1 0 1 1 0 0 -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 0.478790094996 0.670389829843 2 7 0 10 0213 3012 0132 0132 1 1 2 2 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 0 -1 1 -1 0 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 0.023573246278 0.745088889256 1 1 11 12 2031 0132 0132 0132 2 2 2 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 -5 5 0 5 0 0 -5 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.949585938676 0.953740445617 9 10 1 11 2103 2310 0132 1230 2 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.337547155550 1.218896223127 4 8 2 11 1230 3120 0132 3012 1 2 2 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.082086704166 0.908924476288 12 7 11 2 3012 3120 3012 0132 1 2 2 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 0 0 0 0 0 0 0 0 0 0 6 0 -5 -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 0.132089606593 1.268201654316 3 3 6 3 0132 1230 2103 2031 1 1 0 1 0 0 0 0 -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 0 0 0 -1 0 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 0.722816123669 0.929699480961 12 12 4 6 0213 2103 0132 3201 1 1 2 2 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 -1 1 0 0 0 0 6 -6 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.603822268607 0.746010376150 6 8 7 5 3012 1230 1230 0132 2 2 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 0 0 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.617067405819 0.327339597557 10 10 5 8 0213 2103 0132 1230 2 2 1 2 0 1 0 -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 6 0 -6 -6 0 5 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 0.603822268607 0.746010376150 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_0011_12'], 'c_1001_12' : d['c_0011_10'], 'c_1001_5' : d['c_0101_8'], 'c_1001_4' : negation(d['c_0011_7']), 'c_1001_7' : d['c_0011_11'], 'c_1001_6' : d['c_0101_8'], 'c_1001_1' : d['c_0011_10'], 'c_1001_0' : d['c_0011_11'], 'c_1001_3' : d['c_0011_3'], 'c_1001_2' : negation(d['c_0011_7']), 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : negation(d['c_0011_11']), 'c_1010_12' : d['c_0101_8'], 'c_1010_11' : d['c_0101_8'], 'c_1010_10' : negation(d['c_0101_8']), 's_0_10' : d['1'], 's_3_10' : negation(d['1']), 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0011_10'], 'c_0101_11' : d['c_0011_8'], 'c_0101_10' : d['c_0011_12'], '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' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_1001_11']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_0011_6']), 'c_1100_7' : negation(d['c_1001_11']), 'c_1100_6' : d['c_0101_5'], 'c_1100_1' : d['c_0101_5'], 'c_1100_0' : negation(d['c_0011_6']), 'c_1100_3' : negation(d['c_0011_6']), 'c_1100_2' : negation(d['c_1001_11']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_4'], 'c_1100_10' : negation(d['c_0011_6']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_8']), 'c_1010_6' : d['c_0011_8'], 'c_1010_5' : d['c_0011_10'], 'c_1010_4' : d['c_0011_12'], 'c_1010_3' : d['c_0011_11'], 'c_1010_2' : d['c_0011_11'], 'c_1010_1' : d['c_0101_8'], 'c_1010_0' : negation(d['c_0011_7']), 'c_1010_9' : d['c_0011_3'], 'c_1010_8' : negation(d['c_0011_7']), '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' : negation(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_0011_4'], 's_1_7' : d['1'], 's_1_6' : negation(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' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0110_6' : d['c_0011_11'], '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' : d['c_0101_5'], 'c_0110_10' : negation(d['c_0011_8']), 'c_0110_12' : d['c_0011_8'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0011_6' : d['c_0011_6'], 'c_0101_7' : negation(d['c_0011_12']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0011_3'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_3'], 'c_0110_8' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_11']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_12']), 'c_0110_5' : d['c_0011_10'], 'c_0110_4' : d['c_0011_12'], 'c_0110_7' : d['c_0011_4'], 'c_0011_10' : d['c_0011_10'], 's_2_9' : d['1']})} 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_3, c_0011_4, c_0011_6, c_0011_7, c_0011_8, c_0101_0, c_0101_5, c_0101_8, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 138742754733/56040400*c_1001_11^8 - 3895562943/22416160*c_1001_11^7 - 1120507730359/112080800*c_1001_11^6 - 1242946545163/448323200*c_1001_11^5 + 10803520355507/896646400*c_1001_11^4 + 329585226401/71731712*c_1001_11^3 - 157342425853/358658560*c_1001_11^2 + 14827695811/68972800*c_1001_11 - 271679275121/1793292800, c_0011_0 - 1, c_0011_10 + 39904/4225*c_1001_11^8 + 528/845*c_1001_11^7 - 168096/4225*c_1001_11^6 - 66868/4225*c_1001_11^5 + 213326/4225*c_1001_11^4 + 4213/169*c_1001_11^3 - 5292/845*c_1001_11^2 - 177/325*c_1001_11 - 114/4225, c_0011_11 + 11296/4225*c_1001_11^8 - 848/845*c_1001_11^7 - 45904/4225*c_1001_11^6 + 668/4225*c_1001_11^5 + 58274/4225*c_1001_11^4 + 219/169*c_1001_11^3 - 1103/845*c_1001_11^2 + 302/325*c_1001_11 - 2736/4225, c_0011_12 - 23584/4225*c_1001_11^8 + 2672/845*c_1001_11^7 + 96016/4225*c_1001_11^6 - 18372/4225*c_1001_11^5 - 134846/4225*c_1001_11^4 + 191/169*c_1001_11^3 + 6647/845*c_1001_11^2 + 92/325*c_1001_11 + 469/4225, c_0011_3 - 1, c_0011_4 + 42208/4225*c_1001_11^8 - 464/845*c_1001_11^7 - 170992/4225*c_1001_11^6 - 48436/4225*c_1001_11^5 + 212002/4225*c_1001_11^4 + 3439/169*c_1001_11^3 - 4609/845*c_1001_11^2 - 929/325*c_1001_11 - 603/4225, c_0011_6 - 11296/4225*c_1001_11^8 + 848/845*c_1001_11^7 + 45904/4225*c_1001_11^6 - 668/4225*c_1001_11^5 - 58274/4225*c_1001_11^4 - 219/169*c_1001_11^3 + 1103/845*c_1001_11^2 - 302/325*c_1001_11 - 1489/4225, c_0011_7 - 22592/4225*c_1001_11^8 + 1696/845*c_1001_11^7 + 91808/4225*c_1001_11^6 - 1336/4225*c_1001_11^5 - 116548/4225*c_1001_11^4 - 438/169*c_1001_11^3 + 2206/845*c_1001_11^2 - 604/325*c_1001_11 + 1247/4225, c_0011_8 - 41376/4225*c_1001_11^8 + 2128/845*c_1001_11^7 + 166624/4225*c_1001_11^6 + 10892/4225*c_1001_11^5 - 214394/4225*c_1001_11^4 - 1099/169*c_1001_11^3 + 6468/845*c_1001_11^2 - 862/325*c_1001_11 + 2566/4225, c_0101_0 - 1, c_0101_5 - 55552/4225*c_1001_11^8 + 576/845*c_1001_11^7 + 235648/4225*c_1001_11^6 + 59984/4225*c_1001_11^5 - 314888/4225*c_1001_11^4 - 3984/169*c_1001_11^3 + 13786/845*c_1001_11^2 - 349/325*c_1001_11 - 1318/4225, c_0101_8 - 15648/4225*c_1001_11^8 + 1104/845*c_1001_11^7 + 67552/4225*c_1001_11^6 - 6884/4225*c_1001_11^5 - 101562/4225*c_1001_11^4 + 229/169*c_1001_11^3 + 8494/845*c_1001_11^2 - 526/325*c_1001_11 - 1432/4225, c_1001_11^9 - 1/2*c_1001_11^8 - 4*c_1001_11^7 + 5/8*c_1001_11^6 + 85/16*c_1001_11^5 - 9/32*c_1001_11^4 - 15/16*c_1001_11^3 + 7/32*c_1001_11^2 - 3/32*c_1001_11 + 1/32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.120 Total time: 0.320 seconds, Total memory usage: 32.09MB