Magma V2.19-8 Tue Aug 20 2013 16:18:59 on localhost [Seed = 4105529752] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3138 geometric_solution 6.29617997 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 2031 1302 0 0 0 0 0 -1 -1 2 1 0 -2 1 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 -1 0 1 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 0.460218330556 0.695308649772 0 3 5 4 0132 0132 0132 0132 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 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 0.301715672103 0.803125469755 3 0 4 5 3201 0132 3201 0132 0 0 0 0 0 1 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.301715672103 0.803125469755 3 1 3 2 2310 0132 3201 2310 0 0 0 0 0 0 0 0 -1 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.170143784059 1.265085076026 2 6 1 6 2310 0132 0132 2310 0 0 0 0 0 0 0 0 0 0 -1 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 0 0 0 0 0 -1 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 0.598116229000 1.606454268179 5 5 2 1 1302 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.491834130846 0.871535721450 4 4 6 6 3201 0132 2031 1302 0 0 0 0 0 0 1 -1 0 0 1 -1 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 0 1 -1 0 0 1 -1 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.429988690753 0.169031427628 ==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' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0101_2'], '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_0'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_2'], '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_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), '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_1']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : d['c_0011_5'], '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' : negation(d['c_0101_2']), 'c_0110_2' : negation(d['c_0011_5']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : negation(d['c_0110_6']), 'c_1010_3' : d['c_0011_5'], '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_5, c_0101_0, c_0101_1, c_0101_2, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 30 Groebner basis: [ t + 52504681220/1447769423*c_0101_2*c_0110_6^14 - 72976805216/1447769423*c_0101_2*c_0110_6^13 - 319855394911/1447769423*c_0101_2*c_0110_6^12 + 335484159179/1447769423*c_0101_2*c_0110_6^11 + 889899330274/1447769423*c_0101_2*c_0110_6^10 - 686416408181/1447769423*c_0101_2*c_0110_6^9 - 1483449075020/1447769423*c_0101_2*c_0110_6^8 + 1137699581037/1447769423*c_0101_2*c_0110_6^7 + 1216430903065/1447769423*c_0101_2*c_0110_6^6 - 1202160531573/1447769423*c_0101_2*c_0110_6^5 - 407085133487/1447769423*c_0101_2*c_0110_6^4 + 722048353172/1447769423*c_0101_2*c_0110_6^3 - 27851343547/1447769423*c_0101_2*c_0110_6^2 - 223462889487/1447769423*c_0101_2*c_0110_6 + 84722287430/1447769423*c_0101_2, c_0011_0 - 1, c_0011_4 - 814949580/1447769423*c_0101_2*c_0110_6^14 - 245133301/1447769423*c_0101_2*c_0110_6^13 + 4230472979/1447769423*c_0101_2*c_0110_6^12 + 3370660607/1447769423*c_0101_2*c_0110_6^11 - 5960723949/1447769423*c_0101_2*c_0110_6^10 - 6726945438/1447769423*c_0101_2*c_0110_6^9 + 1718239255/1447769423*c_0101_2*c_0110_6^8 - 1526848144/1447769423*c_0101_2*c_0110_6^7 + 664985381/1447769423*c_0101_2*c_0110_6^6 + 7075230430/1447769423*c_0101_2*c_0110_6^5 - 522029826/1447769423*c_0101_2*c_0110_6^4 - 3633187003/1447769423*c_0101_2*c_0110_6^3 + 3642963101/1447769423*c_0101_2*c_0110_6^2 - 242107536/1447769423*c_0101_2*c_0110_6 - 1575297053/1447769423*c_0101_2, c_0011_5 - 64738620/1447769423*c_0101_2*c_0110_6^14 + 689429046/1447769423*c_0101_2*c_0110_6^13 - 910732932/1447769423*c_0101_2*c_0110_6^12 - 4494337873/1447769423*c_0101_2*c_0110_6^11 + 4761880181/1447769423*c_0101_2*c_0110_6^10 + 14672728001/1447769423*c_0101_2*c_0110_6^9 - 6227327841/1447769423*c_0101_2*c_0110_6^8 - 24664348812/1447769423*c_0101_2*c_0110_6^7 + 4768454779/1447769423*c_0101_2*c_0110_6^6 + 14348116922/1447769423*c_0101_2*c_0110_6^5 - 5496434095/1447769423*c_0101_2*c_0110_6^4 - 584225810/1447769423*c_0101_2*c_0110_6^3 + 4423702686/1447769423*c_0101_2*c_0110_6^2 - 1908639583/1447769423*c_0101_2*c_0110_6 + 256383780/1447769423*c_0101_2, c_0101_0 + 897092965/1447769423*c_0110_6^14 + 985204333/1447769423*c_0110_6^13 - 5489529515/1447769423*c_0110_6^12 - 8219398743/1447769423*c_0110_6^11 + 9334784094/1447769423*c_0110_6^10 + 20611379237/1447769423*c_0110_6^9 - 4340788832/1447769423*c_0110_6^8 - 20060785385/1447769423*c_0110_6^7 + 1726225034/1447769423*c_0110_6^6 + 9649465122/1447769423*c_0110_6^5 - 2886409637/1447769423*c_0110_6^4 - 5598842093/1447769423*c_0110_6^3 + 2686956276/1447769423*c_0110_6^2 + 2697086644/1447769423*c_0110_6 - 162989916/1447769423, c_0101_1 + 4946514235/1447769423*c_0110_6^14 - 189539923/1447769423*c_0110_6^13 - 31684324596/1447769423*c_0110_6^12 - 11907459399/1447769423*c_0110_6^11 + 76047257658/1447769423*c_0110_6^10 + 46665934546/1447769423*c_0110_6^9 - 95823596878/1447769423*c_0110_6^8 - 49888132678/1447769423*c_0110_6^7 + 69260857799/1447769423*c_0110_6^6 + 17932042573/1447769423*c_0110_6^5 - 29365469788/1447769423*c_0110_6^4 - 221955504/1447769423*c_0110_6^3 + 7259741999/1447769423*c_0110_6^2 - 1064665196/1447769423*c_0110_6 + 604229782/1447769423, c_0101_2^2 + 2790521655/1447769423*c_0110_6^14 - 2729583569/1447769423*c_0110_6^13 - 19269196311/1447769423*c_0110_6^12 + 10530989718/1447769423*c_0110_6^11 + 59317549156/1447769423*c_0110_6^10 - 13116456849/1447769423*c_0110_6^9 - 105867856365/1447769423*c_0110_6^8 + 14366921088/1447769423*c_0110_6^7 + 105245032893/1447769423*c_0110_6^6 - 16583723555/1447769423*c_0110_6^5 - 59840076066/1447769423*c_0110_6^4 + 12699657389/1447769423*c_0110_6^3 + 19155720769/1447769423*c_0110_6^2 - 5247349008/1447769423*c_0110_6 - 2539444147/1447769423, c_0110_6^15 - 4/5*c_0110_6^14 - 32/5*c_0110_6^13 + 13/5*c_0110_6^12 + 87/5*c_0110_6^11 - 16/5*c_0110_6^10 - 137/5*c_0110_6^9 + 36/5*c_0110_6^8 + 119/5*c_0110_6^7 - 54/5*c_0110_6^6 - 56/5*c_0110_6^5 + 8*c_0110_6^4 + 12/5*c_0110_6^3 - 3*c_0110_6^2 + 2/5*c_0110_6 + 1/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB