Magma V2.19-8 Tue Aug 20 2013 16:16:57 on localhost [Seed = 1275973788] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1201 geometric_solution 5.09518513 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1230 3012 0132 0132 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 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 0.179047727307 0.904625478830 3 2 4 0 0132 3012 0132 0132 0 0 0 0 0 0 1 -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 0 0 0 0 0 0 0 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.937377159005 1.270562832551 1 3 0 4 1230 2310 0132 3201 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 -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 0.937377159005 1.270562832551 1 3 3 2 0132 1230 3012 3201 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 1.034328446165 0.658631894001 5 2 5 1 0132 2310 2310 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.246586300896 1.070107571453 4 4 6 6 0132 3201 3201 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.338973911485 0.123277656072 5 6 5 6 2310 2310 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.639801970300 0.288923826754 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { '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_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_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' : negation(d['1']), 's_0_6' : 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' : d['1'], 'c_1100_6' : negation(d['c_0011_6']), 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_4'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : d['c_0101_1'], 'c_1001_6' : negation(d['c_0101_1']), 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_1'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0101_1']), 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : negation(d['c_0011_1']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_0']), '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_1, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 1805574174417926919203530076704/15054584752558606898990559*c_0101_4\ ^15 + 3650945862399551347844348319890/5018194917519535632996853*c_0\ 101_4^13 - 264141325330223146229626703298029/1204366780204688551919\ 24472*c_0101_4^11 + 386364864145235758112688988667879/1204366780204\ 68855191924472*c_0101_4^9 + 68159231714048766135406412474773/602183\ 39010234427595962236*c_0101_4^7 - 6410266385417187689598709602189/4\ 0145559340156285063974824*c_0101_4^5 - 4779067354865079017831778618803/120436678020468855191924472*c_0101_\ 4^3 + 413735260465143767369807309629/120436678020468855191924472*c_\ 0101_4, c_0011_0 - 1, c_0011_1 - 162129766163936421405027712/5018194917519535632996853*c_0101\ _4^15 + 839196357298148130513186888/5018194917519535632996853*c_010\ 1_4^13 - 4180276549963386026794314895/10036389835039071265993706*c_\ 0101_4^11 + 3397561959046471372745192745/10036389835039071265993706\ *c_0101_4^9 + 5397688398509761834411327866/501819491751953563299685\ 3*c_0101_4^7 + 2202056744538873082490997291/10036389835039071265993\ 706*c_0101_4^5 - 285152569370837762492524657/1003638983503907126599\ 3706*c_0101_4^3 - 49477115013440591353283591/1003638983503907126599\ 3706*c_0101_4, c_0011_4 - 190398452877500055728662784/5018194917519535632996853*c_0101\ _4^14 + 1153936586787639566289780016/5018194917519535632996853*c_01\ 01_4^12 - 3481065651164422071149318901/5018194917519535632996853*c_\ 0101_4^10 + 5108864286204979231319638370/5018194917519535632996853*\ c_0101_4^8 + 1716729998531664142858835557/5018194917519535632996853\ *c_0101_4^6 - 78084359834846738482658107/5018194917519535632996853*\ c_0101_4^4 - 32656836754981007530786687/5018194917519535632996853*c\ _0101_4^2 - 2626096070777399169702061/5018194917519535632996853, c_0011_6 + 61351865988223934929836544/5018194917519535632996853*c_0101_\ 4^14 - 364476140052105410461064672/5018194917519535632996853*c_0101\ _4^12 + 1078504308374715768911159922/5018194917519535632996853*c_01\ 01_4^10 - 1520074741634865388238756462/5018194917519535632996853*c_\ 0101_4^8 - 725112289904287948172620121/5018194917519535632996853*c_\ 0101_4^6 - 78053344169016591330464136/5018194917519535632996853*c_0\ 101_4^4 + 302273614239637563902173/5018194917519535632996853*c_0101\ _4^2 + 2477220409352471045198615/5018194917519535632996853, c_0101_0 + 416942827660209403612876800/5018194917519535632996853*c_0101\ _4^14 - 2494243129119468804504370944/5018194917519535632996853*c_01\ 01_4^12 + 7413100118760358225078377872/5018194917519535632996853*c_\ 0101_4^10 - 10516835646038442833038964608/5018194917519535632996853\ *c_0101_4^8 - 4862049791792245208430112525/501819491751953563299685\ 3*c_0101_4^6 + 224395719144177523379642188/501819491751953563299685\ 3*c_0101_4^4 + 139322152002724895415791698/501819491751953563299685\ 3*c_0101_4^2 - 4314683031081646396468238/5018194917519535632996853, c_0101_1 + 494110798401025149674645376/5018194917519535632996853*c_0101\ _4^15 - 3073036225811504262196025640/5018194917519535632996853*c_01\ 01_4^13 + 18984689952073666812075544979/10036389835039071265993706*\ c_0101_4^11 - 29176184857487506800360959727/10036389835039071265993\ 706*c_0101_4^9 - 2670096538567667775965786267/501819491751953563299\ 6853*c_0101_4^7 + 2796458344585162426121456731/10036389835039071265\ 993706*c_0101_4^5 + 291706189095360127338916985/1003638983503907126\ 5993706*c_0101_4^3 - 65360577669819111840239405/1003638983503907126\ 5993706*c_0101_4, c_0101_4^16 - 4217/688*c_0101_4^14 + 205471/11008*c_0101_4^12 - 306873/11008*c_0101_4^10 - 43081/5504*c_0101_4^8 + 22517/11008*c_0101_4^6 + 3229/11008*c_0101_4^4 - 571/11008*c_0101_4^2 + 1/2752 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB