Magma V2.19-8 Tue Aug 20 2013 16:16:26 on localhost [Seed = 54697964] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0716 geometric_solution 4.66877532 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 2310 1023 3201 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 -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 0.713458593262 0.123426556000 0 2 0 2 0132 0132 1023 1023 0 0 0 0 0 0 0 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 1 -1 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 0.564289377201 0.405362739188 3 1 4 1 0132 0132 0132 1023 0 0 0 0 0 0 -1 1 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 0 1 -1 -1 0 0 1 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.631919241454 1.693022361231 2 4 4 5 0132 3201 2310 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 1 -1 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 -0.129258421474 0.621901821049 5 3 3 2 0132 3201 2310 0132 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 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 -0.129258421474 0.621901821049 4 6 3 6 0132 0132 0132 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 2.059605467608 1.394953417738 6 5 6 5 2310 0132 3201 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 0.454112599511 0.440821613040 ==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' : negation(d['1']), 's_3_0' : d['1'], 's_2_0' : 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_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(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' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_0011_0']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : negation(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' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : 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' : negation(d['c_0101_3']), 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : d['c_0101_3'], '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' : d['c_0101_2'], '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_0'], 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : negation(d['c_0101_1'])})} 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: 2 Groebner basis: [ t + 8*c_0101_6, c_0011_0 - 1, c_0011_4 - 1, c_0101_0 - c_0101_6, c_0101_1 - c_0101_6, c_0101_2 - c_0101_6, c_0101_3 + c_0101_6, c_0101_6^2 - 1/2 ], 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: 14 Groebner basis: [ t + 198946945003316435/4421337504484228*c_0101_6^13 - 4475737283492357399/2210668752242114*c_0101_6^11 + 116358364122135906817/2210668752242114*c_0101_6^9 - 895720848208871718583/4421337504484228*c_0101_6^7 + 1571735062749572628095/4421337504484228*c_0101_6^5 - 477464660503738278427/2210668752242114*c_0101_6^3 + 38543145199649128019/4421337504484228*c_0101_6, c_0011_0 - 1, c_0011_4 - 102497692213/38114978486933*c_0101_6^12 + 4562433989922/38114978486933*c_0101_6^10 - 117731959653481/38114978486933*c_0101_6^8 + 406250745246273/38114978486933*c_0101_6^6 - 652212537271461/38114978486933*c_0101_6^4 + 296290574947245/38114978486933*c_0101_6^2 + 4658191098803/38114978486933, c_0101_0 + 2852865230104/38114978486933*c_0101_6^13 - 128425892571945/38114978486933*c_0101_6^11 + 3339927934122890/38114978486933*c_0101_6^9 - 12916858023023241/38114978486933*c_0101_6^7 + 22781204062047868/38114978486933*c_0101_6^5 - 14062937631705545/38114978486933*c_0101_6^3 + 650144998994249/38114978486933*c_0101_6, c_0101_1 + 3283724643841/38114978486933*c_0101_6^13 - 147637692635684/38114978486933*c_0101_6^11 + 3836181803582962/38114978486933*c_0101_6^9 - 14657396500948155/38114978486933*c_0101_6^7 + 25519831619655918/38114978486933*c_0101_6^5 - 15111654937035430/38114978486933*c_0101_6^3 + 394421789029273/38114978486933*c_0101_6, c_0101_2 + 1151296820817/38114978486933*c_0101_6^13 - 51833168616931/38114978486933*c_0101_6^11 + 1348172481356428/38114978486933*c_0101_6^9 - 5221903542743153/38114978486933*c_0101_6^7 + 9279534684886777/38114978486933*c_0101_6^5 - 5878576407458202/38114978486933*c_0101_6^3 + 480201365919055/38114978486933*c_0101_6, c_0101_3 + 182773544027/38114978486933*c_0101_6^13 - 8209758524700/38114978486933*c_0101_6^11 + 213211703513537/38114978486933*c_0101_6^9 - 808458193885750/38114978486933*c_0101_6^7 + 1430619423594811/38114978486933*c_0101_6^5 - 923259366159838/38114978486933*c_0101_6^3 + 161514681377464/38114978486933*c_0101_6, c_0101_6^14 - 45*c_0101_6^12 + 1170*c_0101_6^10 - 4509*c_0101_6^8 + 7926*c_0101_6^6 - 4845*c_0101_6^4 + 221*c_0101_6^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB