Magma V2.19-8 Tue Aug 20 2013 16:16:30 on localhost [Seed = 2934911563] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0784 geometric_solution 4.72419307 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 1 0132 3201 2310 1023 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 -1 0 1 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 1.250217799351 0.113856865387 0 2 2 0 0132 0132 1023 1023 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 1 -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 1.348034580322 0.328923429624 3 1 1 4 0132 0132 1023 0132 0 0 0 0 0 0 0 0 0 0 0 0 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 0 -1 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 0.462684045272 0.746981253853 2 4 4 5 0132 2310 3201 0132 0 0 0 0 0 -1 1 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 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 -0.145394777485 0.636952758429 3 5 2 3 2310 1023 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 -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 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 -0.145394777485 0.636952758429 4 6 3 6 1023 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 1 -1 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 0 0 0 -1 0 0 1 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.956169101240 1.332654079284 6 5 6 5 2310 0132 3201 1023 0 0 0 0 0 0 -1 1 0 0 0 0 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 0 1 -1 0 0 0 0 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.473878342139 0.439995870380 ==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_4'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_0'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], '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_4'], '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' : negation(d['c_0011_0']), 'c_0011_2' : d['c_0011_0'], 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0101_3']), '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_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : negation(d['c_0101_6']), 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : 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_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 83311784251330516/221358041018687*c_0101_6^17 - 1462864920334617701/442716082037374*c_0101_6^15 - 732601924062836281/442716082037374*c_0101_6^13 + 9862159342605206347/221358041018687*c_0101_6^11 - 2137626221889352339/221358041018687*c_0101_6^9 - 34375832354345183073/221358041018687*c_0101_6^7 + 12111098749479163520/221358041018687*c_0101_6^5 - 3149914315005731342/221358041018687*c_0101_6^3 + 294322612466259327/442716082037374*c_0101_6, c_0011_0 - 1, c_0011_4 + 104049043946057/221358041018687*c_0101_6^16 - 914954766127107/221358041018687*c_0101_6^14 - 445335374861646/221358041018687*c_0101_6^12 + 12327240541920908/221358041018687*c_0101_6^10 - 2816424164960566/221358041018687*c_0101_6^8 - 43015065302472019/221358041018687*c_0101_6^6 + 15575682957773414/221358041018687*c_0101_6^4 - 3580002211774028/221358041018687*c_0101_6^2 + 267547394479741/221358041018687, c_0101_0 - 111757151488458/221358041018687*c_0101_6^17 + 1016136864146502/221358041018687*c_0101_6^15 + 187659366367877/221358041018687*c_0101_6^13 - 13414255378041049/221358041018687*c_0101_6^11 + 7010603967157493/221358041018687*c_0101_6^9 + 45605537277193475/221358041018687*c_0101_6^7 - 30911163601779369/221358041018687*c_0101_6^5 + 7992672834595751/221358041018687*c_0101_6^3 - 886326789704295/221358041018687*c_0101_6, c_0101_1 - 48974768577203/221358041018687*c_0101_6^17 + 479204777790325/221358041018687*c_0101_6^15 - 212752133468708/221358041018687*c_0101_6^13 - 6049436492160342/221358041018687*c_0101_6^11 + 7055493133665657/221358041018687*c_0101_6^9 + 19454683899351733/221358041018687*c_0101_6^7 - 27453370327868655/221358041018687*c_0101_6^5 + 7125274663486153/221358041018687*c_0101_6^3 - 1403164716028551/221358041018687*c_0101_6, c_0101_2 + 602342014111992/221358041018687*c_0101_6^17 - 5284224827393884/221358041018687*c_0101_6^15 - 2684692359001004/221358041018687*c_0101_6^13 + 71296104011659633/221358041018687*c_0101_6^11 - 14979269546614471/221358041018687*c_0101_6^9 - 248797288624562121/221358041018687*c_0101_6^7 + 86014758419525900/221358041018687*c_0101_6^5 - 21527541874119250/221358041018687*c_0101_6^3 + 371947330818950/221358041018687*c_0101_6, c_0101_3 + 1217059858757708/221358041018687*c_0101_6^17 - 10699981587666408/221358041018687*c_0101_6^15 - 5223781056136345/221358041018687*c_0101_6^13 + 144162442461372736/221358041018687*c_0101_6^11 - 32962125847862910/221358041018687*c_0101_6^9 - 502154731268454924/221358041018687*c_0101_6^7 + 183018257544296602/221358041018687*c_0101_6^5 - 46988092934387733/221358041018687*c_0101_6^3 + 2646567837463233/221358041018687*c_0101_6, c_0101_6^18 - 62/7*c_0101_6^16 - 26/7*c_0101_6^14 + 831/7*c_0101_6^12 - 244/7*c_0101_6^10 - 2874/7*c_0101_6^8 + 1242/7*c_0101_6^6 - 345/7*c_0101_6^4 + 33/7*c_0101_6^2 - 1/7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB