Magma V2.19-8 Tue Aug 20 2013 16:18:17 on localhost [Seed = 2463305638] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2502 geometric_solution 5.82289280 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 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 1 0 -1 0 0 1 -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 0.508388784456 0.134122053390 2 0 3 0 0132 2310 0132 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 1 -1 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.652607125717 0.351040114347 1 4 3 5 0132 0132 3012 0132 0 0 0 0 0 -1 1 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 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 0.313037082822 1.112941738012 5 2 6 1 1023 1230 0132 0132 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 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 0.313037082822 1.112941738012 5 2 6 6 3012 0132 2103 3201 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 0.760763290908 0.977605860904 6 3 2 4 2103 1023 0132 1230 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 -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 -0.330536823232 0.887584495658 4 4 5 3 2103 2310 2103 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.760763290908 0.977605860904 ==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_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_1']), 'c_1100_5' : d['c_0110_4'], 'c_1100_4' : negation(d['c_0011_6']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0110_4'], 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0011_6'], 'c_1001_4' : d['c_0011_6'], 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0110_4']), 'c_1001_2' : negation(d['c_0011_3']), '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_0101_1'], 'c_0110_5' : d['c_0011_1'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : negation(d['c_0110_4']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0011_6'], '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_3, c_0011_6, c_0101_0, c_0101_1, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 157395469363146596/230337317241999*c_0110_4^12 - 928584725276315510/230337317241999*c_0110_4^11 + 1976082952610026966/230337317241999*c_0110_4^10 + 44007340364131401/25593035249111*c_0110_4^9 + 66790292703730459571/460674634483998*c_0110_4^8 + 180305346387592913/13959837408606*c_0110_4^7 - 24557248453443152135/76779105747333*c_0110_4^6 + 145127792626126332811/460674634483998*c_0110_4^5 - 29494856594148551/166850646318*c_0110_4^4 + 8745747206302030663/460674634483998*c_0110_4^3 + 9943631519208538001/460674634483998*c_0110_4^2 - 1109106394598209153/76779105747333*c_0110_4 + 1665981779623267457/460674634483998, c_0011_0 - 1, c_0011_1 - 11038666609787/76779105747333*c_0110_4^12 - 75807271887557/76779105747333*c_0110_4^11 + 74849965650586/76779105747333*c_0110_4^10 + 53150129523180/25593035249111*c_0110_4^9 + 2389135138162063/76779105747333*c_0110_4^8 + 74483211333941/2326639568101*c_0110_4^7 - 1610511648854890/25593035249111*c_0110_4^6 - 273645491777725/76779105747333*c_0110_4^5 + 568446305468/27808441053*c_0110_4^4 - 1138327088280385/76779105747333*c_0110_4^3 + 202304728533748/76779105747333*c_0110_4^2 + 18782076325516/25593035249111*c_0110_4 - 41681825997662/76779105747333, c_0011_3 - c_0110_4, c_0011_6 - 6224105758064/25593035249111*c_0110_4^12 - 33798278474813/25593035249111*c_0110_4^11 + 99941604942429/25593035249111*c_0110_4^10 + 6973992055812/25593035249111*c_0110_4^9 + 1261652282649635/25593035249111*c_0110_4^8 - 48464136474051/2326639568101*c_0110_4^7 - 3932827083215455/25593035249111*c_0110_4^6 + 3928900412058517/25593035249111*c_0110_4^5 - 241668339827/9269480351*c_0110_4^4 - 490282064081960/25593035249111*c_0110_4^3 + 433383944374367/25593035249111*c_0110_4^2 - 48963450766013/25593035249111*c_0110_4 - 23673139598396/25593035249111, c_0101_0 - 14042324798501/76779105747333*c_0110_4^12 - 94235871835442/76779105747333*c_0110_4^11 + 106592967269626/76779105747333*c_0110_4^10 + 54870328939581/25593035249111*c_0110_4^9 + 3045814530647902/76779105747333*c_0110_4^8 + 81055660210270/2326639568101*c_0110_4^7 - 1944364159937899/25593035249111*c_0110_4^6 + 969145126237523/76779105747333*c_0110_4^5 + 153574818926/27808441053*c_0110_4^4 - 776591710371982/76779105747333*c_0110_4^3 - 198787172222054/76779105747333*c_0110_4^2 + 56879698539023/25593035249111*c_0110_4 - 23260468385534/76779105747333, c_0101_1 - 29860554286031/76779105747333*c_0110_4^12 - 195110339345939/76779105747333*c_0110_4^11 + 264626780049871/76779105747333*c_0110_4^10 + 109364911744653/25593035249111*c_0110_4^9 + 6405102776084845/76779105747333*c_0110_4^8 + 136846837983169/2326639568101*c_0110_4^7 - 4662633323710907/25593035249111*c_0110_4^6 + 3512253374931614/76779105747333*c_0110_4^5 + 359761045346/27808441053*c_0110_4^4 - 1751612875903975/76779105747333*c_0110_4^3 + 376906571672551/76779105747333*c_0110_4^2 + 36543009994402/25593035249111*c_0110_4 + 17958693164608/76779105747333, c_0110_4^13 + 6*c_0110_4^12 - 12*c_0110_4^11 - 4*c_0110_4^10 - 212*c_0110_4^9 - 40*c_0110_4^8 + 474*c_0110_4^7 - 412*c_0110_4^6 + 195*c_0110_4^5 + 12*c_0110_4^4 - 40*c_0110_4^3 + 17*c_0110_4^2 - 2*c_0110_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB