Magma V2.19-8 Tue Aug 20 2013 16:16:21 on localhost [Seed = 3170705496] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0620 geometric_solution 4.62213579 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 2310 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 0 0 0 0 0 0 0 0 0 1.739963654960 0.294773751615 0 2 2 0 3201 0132 1023 0132 0 0 0 0 0 -1 0 1 0 0 0 0 -1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.120829413526 0.906570892163 3 1 1 4 0132 0132 1023 0132 0 0 0 0 0 1 0 -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 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 0.266868399887 0.185530784299 2 4 5 4 0132 2310 0132 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 -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 -0.318034050543 1.574801670703 5 3 2 3 0132 2310 0132 3201 0 0 0 0 0 0 1 -1 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 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 -0.318034050543 1.574801670703 4 6 6 3 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 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 0.325819746945 0.215139865493 6 5 5 6 3201 0132 1023 2310 0 0 0 0 0 0 0 0 -1 0 0 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 0 0 0 -1 0 0 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 1.124390342939 1.130121991722 ==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' : negation(d['c_0011_1']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_1']), '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' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0101_6']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : d['c_0101_2'], '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_4, c_0101_0, c_0101_2, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 57785214/2788205*c_0101_6^8 + 168027969/2788205*c_0101_6^7 + 609388354/398315*c_0101_6^6 + 388753529/68005*c_0101_6^5 + 4556056027/557641*c_0101_6^4 + 10722860746/2788205*c_0101_6^3 - 2344483581/2788205*c_0101_6^2 - 86303047/96145*c_0101_6 - 497574739/2788205, c_0011_0 - 1, c_0011_1 + 32704/13735*c_0101_6^8 - 72954/13735*c_0101_6^7 - 2469153/13735*c_0101_6^6 - 260464/335*c_0101_6^5 - 3941528/2747*c_0101_6^4 - 17684871/13735*c_0101_6^3 - 7667229/13735*c_0101_6^2 - 1515687/13735*c_0101_6 - 107846/13735, c_0011_4 - 14266/13735*c_0101_6^8 + 31906/13735*c_0101_6^7 + 1077007/13735*c_0101_6^6 + 113451/335*c_0101_6^5 + 1712856/2747*c_0101_6^4 + 7652359/13735*c_0101_6^3 + 3280636/13735*c_0101_6^2 + 635043/13735*c_0101_6 + 44704/13735, c_0101_0 + 18438/13735*c_0101_6^8 - 41048/13735*c_0101_6^7 - 1392146/13735*c_0101_6^6 - 147013/335*c_0101_6^5 - 2228672/2747*c_0101_6^4 - 10032512/13735*c_0101_6^3 - 4386593/13735*c_0101_6^2 - 866909/13735*c_0101_6 - 49407/13735, c_0101_2 - 10892/13735*c_0101_6^8 + 24697/13735*c_0101_6^7 + 820994/13735*c_0101_6^6 + 86077/335*c_0101_6^5 + 1291739/2747*c_0101_6^4 + 5697373/13735*c_0101_6^3 + 2402952/13735*c_0101_6^2 + 492696/13735*c_0101_6 + 44173/13735, c_0101_3 - 10231/13735*c_0101_6^8 + 26521/13735*c_0101_6^7 + 760177/13735*c_0101_6^6 + 74986/335*c_0101_6^5 + 1049693/2747*c_0101_6^4 + 4328619/13735*c_0101_6^3 + 1806311/13735*c_0101_6^2 + 408098/13735*c_0101_6 + 28669/13735, c_0101_6^9 - 2*c_0101_6^8 - 76*c_0101_6^7 - 344*c_0101_6^6 - 679*c_0101_6^5 - 684*c_0101_6^4 - 367*c_0101_6^3 - 107*c_0101_6^2 - 16*c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB