Magma V2.19-8 Tue Aug 20 2013 23:47:38 on localhost [Seed = 1663371568] Type ? for help. Type -D to quit. Loading file "L11a302__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L11a302 geometric_solution 10.62954643 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 1 2 3 0132 1230 0132 0132 0 0 1 1 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 -1 1 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 0.517940113575 1.157181407036 0 4 0 5 0132 0132 3012 0132 1 0 1 1 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 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 0.677763828560 0.719939808660 5 3 3 0 0132 2031 1230 0132 0 0 1 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 -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 0.498175172021 0.315133755289 2 6 0 2 1302 0132 0132 3012 0 0 0 1 0 1 0 -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 1 -1 0 0 0 0 0 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.106642017173 0.739699459516 7 1 8 7 0132 0132 0132 2031 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 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 1 -1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.480683781685 0.697269958487 2 6 1 9 0132 1302 0132 0132 1 0 0 1 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.215379907295 0.602338776569 9 3 8 5 3201 0132 3201 2031 0 1 1 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 -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 0.174712968277 0.680905036637 4 4 11 10 0132 1302 0132 0132 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 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 0.329816735031 0.972153992184 6 9 11 4 2310 2103 2310 0132 1 0 1 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 1 -1 1 0 0 -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 0.068561178525 1.372606201657 10 8 5 6 0132 2103 0132 2310 1 0 1 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 0.703116182030 0.478551142960 9 11 7 11 0132 3012 0132 1302 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.986841550843 0.988135681500 10 8 10 7 1230 3201 2031 0132 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 0 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 -0.635143189298 1.285265637546 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_2']), 'c_1001_10' : negation(d['c_0011_11']), 'c_1001_5' : d['c_0110_6'], 'c_1001_4' : d['c_0110_6'], 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_0011_3'], 'c_1001_3' : negation(d['c_0011_2']), 'c_1001_2' : negation(d['c_0110_3']), 'c_1001_9' : d['c_0011_8'], 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : negation(d['c_0101_11']), 's_3_11' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0011_11'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_11'], 'c_1100_7' : d['c_0101_11'], 'c_1100_6' : negation(d['c_0011_8']), 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0110_3'], 'c_1100_3' : d['c_0110_3'], 'c_1100_2' : d['c_0110_3'], 's_0_10' : d['1'], 'c_1100_11' : d['c_0101_11'], 'c_1100_10' : d['c_0101_11'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_11']), 'c_1010_6' : negation(d['c_0011_2']), 'c_1010_5' : d['c_0011_8'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : d['c_0110_6'], 'c_1010_0' : negation(d['c_0011_2']), 'c_1010_9' : negation(d['c_0110_6']), 'c_1010_8' : d['c_0110_6'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_10']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_0']), 'c_0110_6' : d['c_0110_6'], '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_2'], 'c_0110_11' : d['c_0011_10'], 'c_0110_10' : d['c_0101_2'], 'c_0110_0' : negation(d['c_0011_2']), 'c_0011_6' : negation(d['c_0011_3']), 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : negation(d['c_0101_10']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_10'], 'c_0101_3' : negation(d['c_0011_2']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_2']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_2'], 'c_0101_8' : d['c_0101_2'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0101_10'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0011_10'], 'c_0110_7' : d['c_0101_10'], 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_2, c_0011_3, c_0011_8, c_0101_0, c_0101_10, c_0101_11, c_0101_2, c_0110_3, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 15156645/2378*c_0110_6^15 + 97533083/4756*c_0110_6^14 + 397503539/4756*c_0110_6^13 + 865207327/4756*c_0110_6^12 + 460684589/1189*c_0110_6^11 + 1421067493/2378*c_0110_6^10 + 969129051/1189*c_0110_6^9 + 4143815169/4756*c_0110_6^8 + 916439644/1189*c_0110_6^7 + 1241130969/2378*c_0110_6^6 + 644278257/2378*c_0110_6^5 + 184429981/1189*c_0110_6^4 + 104394227/1189*c_0110_6^3 + 160253544/1189*c_0110_6^2 + 84737747/1189*c_0110_6 - 1941763/2378, c_0011_0 - 1, c_0011_10 - 1625/191*c_0110_6^15 - 21759/764*c_0110_6^14 - 89677/764*c_0110_6^13 - 50277/191*c_0110_6^12 - 109862/191*c_0110_6^11 - 174657/191*c_0110_6^10 - 497721/382*c_0110_6^9 - 278060/191*c_0110_6^8 - 265374/191*c_0110_6^7 - 392023/382*c_0110_6^6 - 236609/382*c_0110_6^5 - 65584/191*c_0110_6^4 - 35232/191*c_0110_6^3 - 41890/191*c_0110_6^2 - 24577/191*c_0110_6 - 9977/191, c_0011_11 - 8369/764*c_0110_6^15 - 28069/764*c_0110_6^14 - 28905/191*c_0110_6^13 - 129685/382*c_0110_6^12 - 283267/382*c_0110_6^11 - 225055/191*c_0110_6^10 - 640919/382*c_0110_6^9 - 715333/382*c_0110_6^8 - 681759/382*c_0110_6^7 - 502595/382*c_0110_6^6 - 151325/191*c_0110_6^5 - 83785/191*c_0110_6^4 - 45072/191*c_0110_6^3 - 53729/191*c_0110_6^2 - 31240/191*c_0110_6 - 12630/191, c_0011_2 + 2587/764*c_0110_6^15 + 8717/764*c_0110_6^14 + 36015/764*c_0110_6^13 + 40553/382*c_0110_6^12 + 44444/191*c_0110_6^11 + 70899/191*c_0110_6^10 + 202727/382*c_0110_6^9 + 227379/382*c_0110_6^8 + 217857/382*c_0110_6^7 + 161699/382*c_0110_6^6 + 98181/382*c_0110_6^5 + 27143/191*c_0110_6^4 + 14577/191*c_0110_6^3 + 17165/191*c_0110_6^2 + 10067/191*c_0110_6 + 4218/191, c_0011_3 + 1631/764*c_0110_6^15 + 5377/764*c_0110_6^14 + 11187/382*c_0110_6^13 + 12470/191*c_0110_6^12 + 27407/191*c_0110_6^11 + 87017/382*c_0110_6^10 + 124453/382*c_0110_6^9 + 139149/382*c_0110_6^8 + 133219/382*c_0110_6^7 + 98431/382*c_0110_6^6 + 29771/191*c_0110_6^5 + 16467/191*c_0110_6^4 + 8705/191*c_0110_6^3 + 10629/191*c_0110_6^2 + 6130/191*c_0110_6 + 2396/191, c_0011_8 + 1867/382*c_0110_6^15 + 12439/764*c_0110_6^14 + 51375/764*c_0110_6^13 + 57503/382*c_0110_6^12 + 125827/382*c_0110_6^11 + 200017/382*c_0110_6^10 + 142697/191*c_0110_6^9 + 159619/191*c_0110_6^8 + 152680/191*c_0110_6^7 + 226113/382*c_0110_6^6 + 137011/382*c_0110_6^5 + 38010/191*c_0110_6^4 + 20258/191*c_0110_6^3 + 24083/191*c_0110_6^2 + 14195/191*c_0110_6 + 5849/191, c_0101_0 - 1, c_0101_10 + 1032/191*c_0110_6^15 + 6873/382*c_0110_6^14 + 14182/191*c_0110_6^13 + 63409/382*c_0110_6^12 + 138581/382*c_0110_6^11 + 219831/382*c_0110_6^10 + 313039/382*c_0110_6^9 + 349081/382*c_0110_6^8 + 166391/191*c_0110_6^7 + 122602/191*c_0110_6^6 + 73909/191*c_0110_6^5 + 41017/191*c_0110_6^4 + 21962/191*c_0110_6^3 + 26306/191*c_0110_6^2 + 15217/191*c_0110_6 + 6130/191, c_0101_11 - 15075103/72962*c_0110_6^15 - 25238014/36481*c_0110_6^14 - 104155668/36481*c_0110_6^13 - 233619587/36481*c_0110_6^12 - 511045197/36481*c_0110_6^11 - 812584160/36481*c_0110_6^10 - 1158689721/36481*c_0110_6^9 - 1294753686/36481*c_0110_6^8 - 1236080379/36481*c_0110_6^7 - 912406679/36481*c_0110_6^6 - 550560122/36481*c_0110_6^5 - 304135291/36481*c_0110_6^4 - 163420440/36481*c_0110_6^3 - 194961575/36481*c_0110_6^2 - 114042921/36481*c_0110_6 - 46204736/36481, c_0101_2 - 8595581/145924*c_0110_6^15 - 28771265/145924*c_0110_6^14 - 59382793/72962*c_0110_6^13 - 66590808/36481*c_0110_6^12 - 145692430/36481*c_0110_6^11 - 463323501/72962*c_0110_6^10 - 660763639/72962*c_0110_6^9 - 738429779/72962*c_0110_6^8 - 705089879/72962*c_0110_6^7 - 520541653/72962*c_0110_6^6 - 157084167/36481*c_0110_6^5 - 86773814/36481*c_0110_6^4 - 46597496/36481*c_0110_6^3 - 55612087/36481*c_0110_6^2 - 32524989/36481*c_0110_6 - 13181925/36481, c_0110_3 + 2695991/72962*c_0110_6^15 + 4513202/36481*c_0110_6^14 + 18631562/36481*c_0110_6^13 + 41791627/36481*c_0110_6^12 + 91442653/36481*c_0110_6^11 + 145410802/36481*c_0110_6^10 + 207389920/36481*c_0110_6^9 + 231777615/36481*c_0110_6^8 + 221320754/36481*c_0110_6^7 + 163396374/36481*c_0110_6^6 + 98620703/36481*c_0110_6^5 + 54473879/36481*c_0110_6^4 + 29258652/36481*c_0110_6^3 + 34918321/36481*c_0110_6^2 + 20411951/36481*c_0110_6 + 8284060/36481, c_0110_6^16 + 4*c_0110_6^15 + 16*c_0110_6^14 + 40*c_0110_6^13 + 88*c_0110_6^12 + 152*c_0110_6^11 + 224*c_0110_6^10 + 272*c_0110_6^9 + 276*c_0110_6^8 + 228*c_0110_6^7 + 152*c_0110_6^6 + 88*c_0110_6^5 + 48*c_0110_6^4 + 40*c_0110_6^3 + 32*c_0110_6^2 + 16*c_0110_6 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.130 Total time: 0.350 seconds, Total memory usage: 32.09MB