Magma V2.19-8 Tue Aug 20 2013 16:14:08 on localhost [Seed = 21011750] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s091 geometric_solution 3.91960216 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 1 0 0 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.360059324909 0.175914337128 0 2 2 0 0132 0132 3201 3201 0 0 0 0 0 -1 0 1 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 -0.910372974488 0.532013164301 1 1 3 3 2310 0132 0132 3201 0 0 0 0 0 1 -1 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 -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 0.210645766313 0.316332608591 4 2 5 2 0132 2310 0132 0132 0 0 0 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 -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 1.423681313017 0.918744021185 3 5 5 5 0132 1230 0213 2310 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 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.535953425398 0.837353261298 4 4 4 3 3201 0213 3012 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 0 -1 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 0 0 0 0.535953425398 0.837353261298 ==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' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_5'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_5'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_3']), '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' : d['c_0011_0'], 'c_1001_5' : d['c_0011_3'], 'c_1001_4' : d['c_0011_3'], 'c_1001_1' : negation(d['c_0011_5']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_5'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_3'], 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : negation(d['c_0011_5']), 'c_1010_1' : d['c_0101_1'], '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_3, c_0011_5, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 7284548388/208248043*c_0101_3^11 - 24978468477/208248043*c_0101_3^10 - 33340523659/208248043*c_0101_3^9 - 35590941154/208248043*c_0101_3^8 + 1015117319307/208248043*c_0101_3^7 - 1897358801929/208248043*c_0101_3^6 + 1465479039135/208248043*c_0101_3^5 - 1665294957592/208248043*c_0101_3^4 + 647453249326/208248043*c_0101_3^3 + 10686394597/7180967*c_0101_3^2 - 118665245438/208248043*c_0101_3 - 13735025246/208248043, c_0011_0 - 1, c_0011_3 - 230660347/208248043*c_0101_3^11 + 788282450/208248043*c_0101_3^10 + 1074499194/208248043*c_0101_3^9 + 1118083031/208248043*c_0101_3^8 - 32196175330/208248043*c_0101_3^7 + 59576533128/208248043*c_0101_3^6 - 44570416599/208248043*c_0101_3^5 + 50979382381/208248043*c_0101_3^4 - 19140326477/208248043*c_0101_3^3 - 388291543/7180967*c_0101_3^2 + 3296635022/208248043*c_0101_3 + 831579711/208248043, c_0011_5 - 481424320/208248043*c_0101_3^11 + 1603084563/208248043*c_0101_3^10 + 2359532832/208248043*c_0101_3^9 + 2581177668/208248043*c_0101_3^8 - 66806450582/208248043*c_0101_3^7 + 118882729711/208248043*c_0101_3^6 - 85146966290/208248043*c_0101_3^5 + 101144487071/208248043*c_0101_3^4 - 32557291422/208248043*c_0101_3^3 - 827796305/7180967*c_0101_3^2 + 5692386293/208248043*c_0101_3 + 1558123137/208248043, c_0101_0 - 468441656/208248043*c_0101_3^11 + 1534384188/208248043*c_0101_3^10 + 2386898759/208248043*c_0101_3^9 + 2639594274/208248043*c_0101_3^8 - 64907290624/208248043*c_0101_3^7 + 111940621977/208248043*c_0101_3^6 - 76308343268/208248043*c_0101_3^5 + 94070162567/208248043*c_0101_3^4 - 25519099945/208248043*c_0101_3^3 - 866681308/7180967*c_0101_3^2 + 4688106151/208248043*c_0101_3 + 1596840618/208248043, c_0101_1 + 670737545/208248043*c_0101_3^11 - 2236297564/208248043*c_0101_3^10 - 3268327443/208248043*c_0101_3^9 - 3620769435/208248043*c_0101_3^8 + 93039790565/208248043*c_0101_3^7 - 166034458883/208248043*c_0101_3^6 + 120861454602/208248043*c_0101_3^5 - 144056581090/208248043*c_0101_3^4 + 47405911033/208248043*c_0101_3^3 + 1071985506/7180967*c_0101_3^2 - 7847417590/208248043*c_0101_3 - 1787443800/208248043, c_0101_3^12 - 3*c_0101_3^11 - 6*c_0101_3^10 - 7*c_0101_3^9 + 137*c_0101_3^8 - 201*c_0101_3^7 + 96*c_0101_3^6 - 153*c_0101_3^5 - 2*c_0101_3^4 + 71*c_0101_3^3 + 4*c_0101_3^2 - 7*c_0101_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB