Magma V2.19-8 Tue Aug 20 2013 16:16:38 on localhost [Seed = 3002281576] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0926 geometric_solution 4.82205093 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.585282065679 0.211907706391 2 0 3 0 0132 2310 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.904156567161 0.335007385405 1 3 3 4 0132 0213 3012 0132 0 0 0 0 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 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.700550585950 0.715841570549 4 2 2 1 1023 1230 0213 0132 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 1 0 -1 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 0.700550585950 0.715841570549 5 3 2 5 0132 1023 0132 3201 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 -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 0.474653560498 0.667756721235 4 4 6 6 0132 2310 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 2.235079054270 1.061816375723 5 6 6 5 3201 3201 2310 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 -0.620142750641 0.139817391311 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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_6'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : negation(d['c_0101_1']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_1']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : negation(d['c_0011_1']), 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0011_1']), '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_3, c_0011_6, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t + 3*c_0101_1^2 - c_0101_1 - 8, c_0011_0 - 1, c_0011_1 - c_0101_1^2 + 1, c_0011_3 - 1, c_0011_6 + c_0101_1^2 - 1, c_0101_0 - c_0101_1, c_0101_1^3 - c_0101_1^2 - 2*c_0101_1 + 1, c_0101_5 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t - 3*c_0101_1^2 + c_0101_1 + 8, c_0011_0 - 1, c_0011_1 - c_0101_1^2 + 1, c_0011_3 + 1, c_0011_6 - c_0101_1^2 + 1, c_0101_0 + c_0101_1, c_0101_1^3 - c_0101_1^2 - 2*c_0101_1 + 1, c_0101_5 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t + 4033010759/60050524*c_0101_0*c_0101_5^10 + 136562425/60050524*c_0101_0*c_0101_5^9 - 13091434021/15012631*c_0101_0*c_0101_5^8 + 74865808401/60050524*c_0101_0*c_0101_5^7 + 98599553191/60050524*c_0101_0*c_0101_5^6 - 310287551069/60050524*c_0101_0*c_0101_5^5 + 31016178255/60050524*c_0101_0*c_0101_5^4 + 109303852580/15012631*c_0101_0*c_0101_5^3 - 133801359019/30025262*c_0101_0*c_0101_5^2 - 234760638589/60050524*c_0101_0*c_0101_5 + 184076005749/60050524*c_0101_0, c_0011_0 - 1, c_0011_1 - 69967/30025262*c_0101_5^10 + 840663/15012631*c_0101_5^9 + 380161/15012631*c_0101_5^8 - 20970773/30025262*c_0101_5^7 + 14790199/15012631*c_0101_5^6 + 13093263/30025262*c_0101_5^5 - 34257920/15012631*c_0101_5^4 + 16682310/15012631*c_0101_5^3 + 19646375/15012631*c_0101_5^2 - 32127833/30025262*c_0101_5 + 6660115/15012631, c_0011_3 + 1746799/60050524*c_0101_0*c_0101_5^10 - 246789/60050524*c_0101_0*c_0101_5^9 - 3957130/15012631*c_0101_0*c_0101_5^8 + 38733761/60050524*c_0101_0*c_0101_5^7 - 41817607/60050524*c_0101_0*c_0101_5^6 - 42647481/60050524*c_0101_0*c_0101_5^5 + 120147669/60050524*c_0101_0*c_0101_5^4 - 22904951/15012631*c_0101_0*c_0101_5^3 - 64389851/30025262*c_0101_0*c_0101_5^2 + 135032627/60050524*c_0101_0*c_0101_5 - 33593129/60050524*c_0101_0, c_0011_6 + 2955817/30025262*c_0101_0*c_0101_5^10 - 373352/15012631*c_0101_0*c_0101_5^9 - 18422834/15012631*c_0101_0*c_0101_5^8 + 63241499/30025262*c_0101_0*c_0101_5^7 + 18352659/15012631*c_0101_0*c_0101_5^6 - 187377165/30025262*c_0101_0*c_0101_5^5 + 36358735/15012631*c_0101_0*c_0101_5^4 + 91337896/15012631*c_0101_0*c_0101_5^3 - 70724756/15012631*c_0101_0*c_0101_5^2 - 48351367/30025262*c_0101_0*c_0101_5 + 8672981/15012631*c_0101_0, c_0101_0^2 - 69967/30025262*c_0101_5^10 + 840663/15012631*c_0101_5^9 + 380161/15012631*c_0101_5^8 - 20970773/30025262*c_0101_5^7 + 14790199/15012631*c_0101_5^6 + 13093263/30025262*c_0101_5^5 - 34257920/15012631*c_0101_5^4 + 16682310/15012631*c_0101_5^3 + 19646375/15012631*c_0101_5^2 - 32127833/30025262*c_0101_5 - 8352516/15012631, c_0101_1 - 977311/60050524*c_0101_5^10 - 4879677/60050524*c_0101_5^9 + 3258762/15012631*c_0101_5^8 + 42987795/60050524*c_0101_5^7 - 113982299/60050524*c_0101_5^6 - 4481971/60050524*c_0101_5^5 + 270803533/60050524*c_0101_5^4 - 41411078/15012631*c_0101_5^3 - 100618711/30025262*c_0101_5^2 + 169914181/60050524*c_0101_5 + 20545671/60050524, c_0101_5^11 - 13*c_0101_5^9 + 19*c_0101_5^8 + 24*c_0101_5^7 - 78*c_0101_5^6 + 10*c_0101_5^5 + 109*c_0101_5^4 - 70*c_0101_5^3 - 57*c_0101_5^2 + 48*c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB