Magma V2.19-8 Tue Aug 20 2013 16:18:51 on localhost [Seed = 1377029923] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3019 geometric_solution 6.19195553 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 1230 3012 0 0 0 0 0 -1 0 1 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 -1 0 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 0.031652606373 1.034584759672 0 3 5 4 0132 0132 0132 0132 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 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 0.303487384462 1.166957195190 3 0 4 5 0132 0132 2310 2310 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 0 0 0 0 0 0 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 0.303487384462 1.166957195190 2 1 6 6 0132 0132 0132 2310 0 0 0 0 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 -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 -0.341330658692 0.570140325269 5 2 1 5 2310 3201 0132 3201 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 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 0.564327371129 0.642215576385 2 4 4 1 3201 2310 3201 0132 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 0 0 0 0 0 0 0 0 0 0 0.544079833685 0.803126353082 3 6 6 3 3201 3201 2310 0132 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 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 -0.604930081454 1.067211158044 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : 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' : negation(d['1']), 's_2_6' : negation(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_0_6' : d['1'], 's_0_4' : negation(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_6' : d['c_0011_6'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : negation(d['c_0101_2']), 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], '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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_0']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : negation(d['c_0101_3']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 340627234026134528/6144868366557*c_0101_3^13 - 5467464765338642240/55303815299013*c_0101_3^11 - 2891522185832688535/55303815299013*c_0101_3^9 + 144730985381955065/55303815299013*c_0101_3^7 + 716658796166225654/55303815299013*c_0101_3^5 + 32003781040890802/6144868366557*c_0101_3^3 + 42119532225357502/55303815299013*c_0101_3, c_0011_0 - 1, c_0011_4 + 2863899705626624/2048289455519*c_0101_3^13 + 2500569252851456/2048289455519*c_0101_3^11 + 208569523701940/2048289455519*c_0101_3^9 - 440940208431524/2048289455519*c_0101_3^7 - 206306626752547/2048289455519*c_0101_3^5 - 36850675883338/2048289455519*c_0101_3^3 - 696418284753/2048289455519*c_0101_3, c_0011_6 - 13553210359808/20280093619*c_0101_3^12 - 11524158476288/20280093619*c_0101_3^10 - 1231191986048/20280093619*c_0101_3^8 + 2161793366916/20280093619*c_0101_3^6 + 1030506199299/20280093619*c_0101_3^4 + 190495503745/20280093619*c_0101_3^2 - 4738408281/20280093619, c_0101_0 - 562204556378112/2048289455519*c_0101_3^12 - 665328169083904/2048289455519*c_0101_3^10 - 173457528374384/2048289455519*c_0101_3^8 + 70021582391828/2048289455519*c_0101_3^6 + 68077321773640/2048289455519*c_0101_3^4 + 19539329977973/2048289455519*c_0101_3^2 + 893814467565/2048289455519, c_0101_1 + 905768758591488/2048289455519*c_0101_3^12 + 1161420857520128/2048289455519*c_0101_3^10 + 269876489569392/2048289455519*c_0101_3^8 - 188935623453453/2048289455519*c_0101_3^6 - 112708012932061/2048289455519*c_0101_3^4 - 18956963239134/2048289455519*c_0101_3^2 - 1384714307777/2048289455519, c_0101_2 + 77741426313216/20280093619*c_0101_3^13 + 77419672165760/20280093619*c_0101_3^11 + 15003876373042/20280093619*c_0101_3^9 - 11961223383705/20280093619*c_0101_3^7 - 7538726838006/20280093619*c_0101_3^5 - 1645967458438/20280093619*c_0101_3^3 - 90615027810/20280093619*c_0101_3, c_0101_3^14 + 307/272*c_0101_3^12 + 5401/17408*c_0101_3^10 - 2387/17408*c_0101_3^8 - 507/4352*c_0101_3^6 - 553/17408*c_0101_3^4 - 57/17408*c_0101_3^2 - 3/17408 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB