Magma V2.19-8 Tue Aug 20 2013 16:14:07 on localhost [Seed = 2682127270] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s073 geometric_solution 3.61267424 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 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 0.486003192598 0.042888532003 2 0 2 0 0132 2310 1023 0132 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.472297113499 0.137286215808 1 3 1 3 0132 0132 1023 2310 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 -1 0 1 0 0 0 0 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.841617766622 3.642576652615 2 2 5 4 3201 0132 0132 0132 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 1 0 -1 -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 0.009760191869 0.508470676767 5 5 3 5 1230 3012 0132 1302 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 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 1.001051134867 1.018346118915 4 4 4 3 1230 3012 2031 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 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 1.001051134867 1.018346118915 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : 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_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_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_5' : d['c_0101_5'], 'c_1100_4' : d['c_0101_5'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : d['c_0011_1'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : negation(d['c_0011_4']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0011_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0011_4'], 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0101_4']), '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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0101_0, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 42097088612452404021131/177078005612962629731*c_0101_5^14 + 192233936470539365439762/177078005612962629731*c_0101_5^13 + 1305819312275821615103643/177078005612962629731*c_0101_5^12 + 6367542581745306301675511/177078005612962629731*c_0101_5^11 + 10415051970372750955474882/177078005612962629731*c_0101_5^10 + 825263083676057335943393/177078005612962629731*c_0101_5^9 - 3275149877068842674505396/177078005612962629731*c_0101_5^8 - 13950172819048472920655693/177078005612962629731*c_0101_5^7 - 13553951580309212366203245/177078005612962629731*c_0101_5^6 + 7441608929896344735459466/177078005612962629731*c_0101_5^5 - 8623336407580083573068518/177078005612962629731*c_0101_5^4 + 2390869007107077776753399/177078005612962629731*c_0101_5^3 + 2910187117286084466663606/177078005612962629731*c_0101_5^2 - 209216661303722433899087/177078005612962629731*c_0101_5 - 151163030678760876184013/177078005612962629731, c_0011_0 - 1, c_0011_1 - 109783470008010484101/177078005612962629731*c_0101_5^14 + 516589110653661368517/177078005612962629731*c_0101_5^13 + 3335896722083557108935/177078005612962629731*c_0101_5^12 + 16131149599436287155957/177078005612962629731*c_0101_5^11 + 24844637206488760212689/177078005612962629731*c_0101_5^10 - 1666379022555986917939/177078005612962629731*c_0101_5^9 - 8938359831943055041553/177078005612962629731*c_0101_5^8 - 35347332117687550787972/177078005612962629731*c_0101_5^7 - 30497497585732895642963/177078005612962629731*c_0101_5^6 + 24290304975073301891486/177078005612962629731*c_0101_5^5 - 25058043286617959857371/177078005612962629731*c_0101_5^4 + 9665086775148264100074/177078005612962629731*c_0101_5^3 + 6919814164199823722950/177078005612962629731*c_0101_5^2 - 1623844243973980929695/177078005612962629731*c_0101_5 - 350553334047951273694/177078005612962629731, c_0011_4 - 15484525512314708860/177078005612962629731*c_0101_5^14 + 66578505567703867302/177078005612962629731*c_0101_5^13 + 500757523153417406617/177078005612962629731*c_0101_5^12 + 2461657064531614713938/177078005612962629731*c_0101_5^11 + 4413285221361222778582/177078005612962629731*c_0101_5^10 + 1132292570642241709991/177078005612962629731*c_0101_5^9 - 1292577688182684443908/177078005612962629731*c_0101_5^8 - 5108624716665850396397/177078005612962629731*c_0101_5^7 - 6170190483477304643824/177078005612962629731*c_0101_5^6 + 1853047147778230078146/177078005612962629731*c_0101_5^5 - 2305947168323793572400/177078005612962629731*c_0101_5^4 - 670635033995181566880/177078005612962629731*c_0101_5^3 + 1891729005412139950897/177078005612962629731*c_0101_5^2 - 260600508992567800232/177078005612962629731*c_0101_5 - 148233939311223463703/177078005612962629731, c_0101_0 - 49617617235832288875/177078005612962629731*c_0101_5^14 + 248529059009797903882/177078005612962629731*c_0101_5^13 + 1440899365261945767066/177078005612962629731*c_0101_5^12 + 6817066664744147226829/177078005612962629731*c_0101_5^11 + 8881150846011062594022/177078005612962629731*c_0101_5^10 - 4838994677576095152137/177078005612962629731*c_0101_5^9 - 5145578529076790087294/177078005612962629731*c_0101_5^8 - 15350971940743935784556/177078005612962629731*c_0101_5^7 - 8636252140814466770356/177078005612962629731*c_0101_5^6 + 16618279802932611884039/177078005612962629731*c_0101_5^5 - 12739270735525930979935/177078005612962629731*c_0101_5^4 + 7532324919608397897745/177078005612962629731*c_0101_5^3 + 2251000765849366440610/177078005612962629731*c_0101_5^2 - 1393330894804327320680/177078005612962629731*c_0101_5 - 149149981630937415348/177078005612962629731, c_0101_4 - 64349217117332035315/177078005612962629731*c_0101_5^14 + 299683985088681916997/177078005612962629731*c_0101_5^13 + 1970337488101783212784/177078005612962629731*c_0101_5^12 + 9547545534796141896559/177078005612962629731*c_0101_5^11 + 15010836504282955462623/177078005612962629731*c_0101_5^10 - 306326682456199443256/177078005612962629731*c_0101_5^9 - 5263381506025019312800/177078005612962629731*c_0101_5^8 - 20716074951460898114266/177078005612962629731*c_0101_5^7 - 18594422455467495633863/177078005612962629731*c_0101_5^6 + 13601218909475781727168/177078005612962629731*c_0101_5^5 - 14158949864806446362151/177078005612962629731*c_0101_5^4 + 4296112934704170458592/177078005612962629731*c_0101_5^3 + 4205527132722435668036/177078005612962629731*c_0101_5^2 - 947400861365264468977/177078005612962629731*c_0101_5 - 210165725488017550073/177078005612962629731, c_0101_5^15 - 5*c_0101_5^14 - 29*c_0101_5^13 - 138*c_0101_5^12 - 183*c_0101_5^11 + 82*c_0101_5^10 + 78*c_0101_5^9 + 299*c_0101_5^8 + 181*c_0101_5^7 - 304*c_0101_5^6 + 291*c_0101_5^5 - 155*c_0101_5^4 - 34*c_0101_5^3 + 30*c_0101_5^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB