Magma V2.19-8 Tue Aug 20 2013 16:16:37 on localhost [Seed = 3886447422] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0920 geometric_solution 4.81504565 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 3201 0132 3201 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 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 0.281771483720 0.215747963357 0 3 0 4 0132 0132 2310 0132 0 0 0 0 0 0 0 0 -1 0 0 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 -1 1 1 0 0 -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 0.897644034691 1.005876687008 2 0 2 0 2031 2310 1302 0132 0 0 0 0 0 0 0 0 0 0 -1 1 1 0 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 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 -3.030674452997 1.805634236616 5 1 4 4 0132 0132 2310 3120 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 -1 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 0.337801280898 0.676395859338 3 3 1 5 3120 3201 0132 1023 0 0 0 0 0 0 0 0 1 0 -1 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 -1 0 1 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 0.337801280898 0.676395859338 3 6 6 4 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.186566561053 0.808641199014 6 5 5 6 3012 0132 1023 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.707976189718 0.276982345689 ==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_0011_0'], 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : d['c_0011_0'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_2']), 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : negation(d['c_0011_2']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_2']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_4']), 'c_0011_5' : negation(d['c_0011_0']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_0'], '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' : d['c_0011_2'], 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : negation(d['c_0011_4']), 'c_0110_1' : negation(d['c_0011_4']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : d['c_0011_0'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_3']), 'c_1010_0' : d['c_0011_4']})} 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_2, c_0011_4, c_0101_1, c_0101_3, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 27 Groebner basis: [ t + 221/5*c_0101_6^26 + 663/5*c_0101_6^25 - 3379/5*c_0101_6^24 - 11324/5*c_0101_6^23 + 21572/5*c_0101_6^22 + 84797/5*c_0101_6^21 - 71653/5*c_0101_6^20 - 72777*c_0101_6^19 + 115668/5*c_0101_6^18 + 979577/5*c_0101_6^17 - 4242/5*c_0101_6^16 - 1696726/5*c_0101_6^15 - 343682/5*c_0101_6^14 + 1852678/5*c_0101_6^13 + 130549*c_0101_6^12 - 1169058/5*c_0101_6^11 - 568399/5*c_0101_6^10 + 310119/5*c_0101_6^9 + 46425*c_0101_6^8 + 45018/5*c_0101_6^7 - 22931/5*c_0101_6^6 - 28496/5*c_0101_6^5 - 13071/5*c_0101_6^4 - 5004/5*c_0101_6^3 + 6103/5*c_0101_6^2 + 1274/5*c_0101_6 - 668/5, c_0011_0 - 1, c_0011_2 + 517*c_0101_6^26 + 1805*c_0101_6^25 - 6844*c_0101_6^24 - 29426*c_0101_6^23 + 33353*c_0101_6^22 + 207778*c_0101_6^21 - 48569*c_0101_6^20 - 825662*c_0101_6^19 - 192225*c_0101_6^18 + 1999270*c_0101_6^17 + 1071841*c_0101_6^16 - 2957626*c_0101_6^15 - 2303518*c_0101_6^14 + 2468096*c_0101_6^13 + 2595223*c_0101_6^12 - 814769*c_0101_6^11 - 1440508*c_0101_6^10 - 240384*c_0101_6^9 + 215994*c_0101_6^8 + 193543*c_0101_6^7 + 85991*c_0101_6^6 + 11701*c_0101_6^5 - 12227*c_0101_6^4 - 16579*c_0101_6^3 + 1887*c_0101_6^2 + 1873*c_0101_6 - 321, c_0011_4 + 3*c_0101_6^26 + 10*c_0101_6^25 - 41*c_0101_6^24 - 164*c_0101_6^23 + 214*c_0101_6^22 + 1167*c_0101_6^21 - 422*c_0101_6^20 - 4686*c_0101_6^19 - 580*c_0101_6^18 + 11517*c_0101_6^17 + 4993*c_0101_6^16 - 17440*c_0101_6^15 - 11704*c_0101_6^14 + 15204*c_0101_6^13 + 13892*c_0101_6^12 - 5759*c_0101_6^11 - 8183*c_0101_6^10 - 918*c_0101_6^9 + 1477*c_0101_6^8 + 1138*c_0101_6^7 + 443*c_0101_6^6 + 21*c_0101_6^5 - 96*c_0101_6^4 - 100*c_0101_6^3 + 10*c_0101_6^2 + 9*c_0101_6 - 2, c_0101_1 - 9*c_0101_6^26 - 27*c_0101_6^25 + 128*c_0101_6^24 + 440*c_0101_6^23 - 727*c_0101_6^22 - 3108*c_0101_6^21 + 1900*c_0101_6^20 + 12372*c_0101_6^19 - 972*c_0101_6^18 - 30091*c_0101_6^17 - 7701*c_0101_6^16 + 44992*c_0101_6^15 + 22569*c_0101_6^14 - 38674*c_0101_6^13 - 28142*c_0101_6^12 + 14673*c_0101_6^11 + 16283*c_0101_6^10 + 1525*c_0101_6^9 - 2497*c_0101_6^8 - 2041*c_0101_6^7 - 907*c_0101_6^6 - 184*c_0101_6^5 + 119*c_0101_6^4 + 138*c_0101_6^3 - 54*c_0101_6^2 - 17*c_0101_6 + 6, c_0101_3 - c_0101_6^3 + 2*c_0101_6, c_0101_5 - c_0101_6^2 + 1, c_0101_6^27 + 5*c_0101_6^26 - 8*c_0101_6^25 - 77*c_0101_6^24 - 21*c_0101_6^23 + 501*c_0101_6^22 + 511*c_0101_6^21 - 1751*c_0101_6^20 - 2782*c_0101_6^19 + 3353*c_0101_6^18 + 7932*c_0101_6^17 - 2700*c_0101_6^16 - 13179*c_0101_6^15 - 1806*c_0101_6^14 + 12396*c_0101_6^13 + 5907*c_0101_6^12 - 5340*c_0101_6^11 - 4674*c_0101_6^10 - 202*c_0101_6^9 + 1043*c_0101_6^8 + 730*c_0101_6^7 + 262*c_0101_6^6 + 2*c_0101_6^5 - 71*c_0101_6^4 - 45*c_0101_6^3 + 10*c_0101_6^2 + 5*c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB