Magma V2.19-8 Tue Aug 20 2013 16:18:33 on localhost [Seed = 896837636] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2742 geometric_solution 5.98359327 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 1 0132 0132 0132 1302 0 0 0 0 0 0 -1 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 -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 0 0 0 0 0.471450866227 0.647606865972 0 3 0 4 0132 1230 2031 0132 0 0 0 0 0 -1 0 1 1 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 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 0.632768628969 0.242117923646 5 0 6 5 0132 0132 0132 0213 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 1 -1 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 0.665246401004 0.601626899756 5 4 1 0 1302 3120 3012 0132 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 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 0.254239475636 0.769588156858 5 3 1 6 2310 3120 0132 2031 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 -0.391937019631 1.297447436857 2 3 4 2 0132 2031 3201 0213 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 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 0.168899470764 0.493555575653 6 4 6 2 2031 1302 1302 0132 0 0 0 0 0 0 0 0 0 0 -1 1 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 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 1.211203120376 0.816328466663 ==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_3'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_1001_2']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_1001_2']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0101_1'], 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_0']), '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_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_3']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_0']), 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0011_4']), 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : d['c_1001_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0011_4']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : d['c_1001_2']})} 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_3, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 3472447490887/10487132208862*c_1001_2^11 - 248300453179235/199255511968378*c_1001_2^10 + 284785537368377/99627755984189*c_1001_2^9 + 2574768880451777/199255511968378*c_1001_2^8 - 724067385037541/199255511968378*c_1001_2^7 - 3496465443667366/99627755984189*c_1001_2^6 + 3162345193078421/199255511968378*c_1001_2^5 + 7273151675761882/99627755984189*c_1001_2^4 - 2623517273434354/99627755984189*c_1001_2^3 - 16058899533161793/199255511968378*c_1001_2^2 + 10110908475937969/199255511968378*c_1001_2 + 3768110520129971/99627755984189, c_0011_0 - 1, c_0011_3 - 38626705765/5243566104431*c_1001_2^11 - 162178056994/5243566104431*c_1001_2^10 + 302660257652/5243566104431*c_1001_2^9 + 1685987665817/5243566104431*c_1001_2^8 - 233947734308/5243566104431*c_1001_2^7 - 4443405224129/5243566104431*c_1001_2^6 + 2303163316959/5243566104431*c_1001_2^5 + 9075872808581/5243566104431*c_1001_2^4 - 5283535793879/5243566104431*c_1001_2^3 - 10348812457276/5243566104431*c_1001_2^2 + 9497367960413/5243566104431*c_1001_2 + 3306534524502/5243566104431, c_0011_4 - 11414327820/5243566104431*c_1001_2^11 - 12184581889/5243566104431*c_1001_2^10 + 186355978925/5243566104431*c_1001_2^9 + 107500319113/5243566104431*c_1001_2^8 - 1018352063061/5243566104431*c_1001_2^7 - 98291681947/5243566104431*c_1001_2^6 + 3088894026436/5243566104431*c_1001_2^5 - 1102869238796/5243566104431*c_1001_2^4 - 6102564175037/5243566104431*c_1001_2^3 + 3325454186070/5243566104431*c_1001_2^2 + 3417098258879/5243566104431*c_1001_2 - 6447620020620/5243566104431, c_0101_0 + 9992323084/5243566104431*c_1001_2^11 - 8132388758/5243566104431*c_1001_2^10 - 253006721894/5243566104431*c_1001_2^9 - 81325355443/5243566104431*c_1001_2^8 + 1575741603670/5243566104431*c_1001_2^7 + 1593831494345/5243566104431*c_1001_2^6 - 2541639521899/5243566104431*c_1001_2^5 - 3386545280391/5243566104431*c_1001_2^4 + 4135705496726/5243566104431*c_1001_2^3 + 4447841407625/5243566104431*c_1001_2^2 - 4668307616333/5243566104431*c_1001_2 - 3769849037349/5243566104431, c_0101_1 - 65905474620/5243566104431*c_1001_2^11 - 240879844242/5243566104431*c_1001_2^10 + 596705222657/5243566104431*c_1001_2^9 + 2639077186639/5243566104431*c_1001_2^8 - 454967749249/5243566104431*c_1001_2^7 - 7553362113851/5243566104431*c_1001_2^6 - 781618180713/5243566104431*c_1001_2^5 + 11582365705897/5243566104431*c_1001_2^4 - 2205758031528/5243566104431*c_1001_2^3 - 16234599660424/5243566104431*c_1001_2^2 + 654109221794/5243566104431*c_1001_2 + 2538197909255/5243566104431, c_0101_2 - 31789014012/5243566104431*c_1001_2^11 - 133895945977/5243566104431*c_1001_2^10 + 275537255401/5243566104431*c_1001_2^9 + 1495837012787/5243566104431*c_1001_2^8 - 383451730447/5243566104431*c_1001_2^7 - 4704478566134/5243566104431*c_1001_2^6 + 1417125716321/5243566104431*c_1001_2^5 + 9491352367579/5243566104431*c_1001_2^4 - 2363470601270/5243566104431*c_1001_2^3 - 8737702824840/5243566104431*c_1001_2^2 + 6068244485706/5243566104431*c_1001_2 + 3358264308111/5243566104431, c_1001_2^12 + 4*c_1001_2^11 - 8*c_1001_2^10 - 42*c_1001_2^9 + 4*c_1001_2^8 + 118*c_1001_2^7 - 26*c_1001_2^6 - 255*c_1001_2^5 + 41*c_1001_2^4 + 305*c_1001_2^3 - 122*c_1001_2^2 - 190*c_1001_2 + 19 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB