Magma V2.19-8 Tue Aug 20 2013 16:18:18 on localhost [Seed = 1781266242] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2518 geometric_solution 5.83737275 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 2 0132 0132 0132 2310 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 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 0.976576461350 1.265372614691 0 4 4 5 0132 0132 2103 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.430408692255 1.259249370242 0 0 2 2 3201 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.319706703675 0.292301406193 5 5 4 0 0213 0321 2031 0132 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 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 0.527551582207 0.612742655477 1 1 6 3 2103 0132 0132 1302 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.436092153033 0.226198837159 3 6 1 3 0213 0132 0132 0321 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 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 0.112633633657 0.624860318763 6 5 6 4 2031 0132 1302 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 -1 1 0 -1 0 1 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 1.227283916550 1.512623088319 ==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_5'], 'c_1100_5' : negation(d['c_0110_4']), 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0110_4']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0110_2'], 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_3'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_5']), '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' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0110_4']), 'c_1001_2' : negation(d['c_0110_2']), 'c_0110_1' : d['c_0011_3'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : d['c_1001_4'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0110_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_5, c_0101_1, c_0110_2, c_0110_4, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 58658227/5893114*c_1001_4^15 - 819263239/5893114*c_1001_4^13 + 2671406885/5893114*c_1001_4^11 - 2216189821/2946557*c_1001_4^9 + 4376091707/5893114*c_1001_4^7 - 1308287575/2946557*c_1001_4^5 + 1027473895/5893114*c_1001_4^3 - 1616259915/5893114*c_1001_4, c_0011_0 - 1, c_0011_3 - 312513/14732785*c_1001_4^14 + 780942/2946557*c_1001_4^12 - 7694228/14732785*c_1001_4^10 + 1331689/14732785*c_1001_4^8 + 2621486/2946557*c_1001_4^6 - 17981839/14732785*c_1001_4^4 + 15457787/14732785*c_1001_4^2 + 4270227/14732785, c_0011_5 + 2391664/14732785*c_1001_4^15 - 6762842/2946557*c_1001_4^13 + 114453824/14732785*c_1001_4^11 - 196514132/14732785*c_1001_4^9 + 39701803/2946557*c_1001_4^7 - 112702248/14732785*c_1001_4^5 + 28789679/14732785*c_1001_4^3 - 50936701/14732785*c_1001_4, c_0101_1 + 2813926/14732785*c_1001_4^15 - 7857043/2946557*c_1001_4^13 + 127874301/14732785*c_1001_4^11 - 210946053/14732785*c_1001_4^9 + 40714414/2946557*c_1001_4^7 - 114084037/14732785*c_1001_4^5 + 34100966/14732785*c_1001_4^3 - 58020854/14732785*c_1001_4, c_0110_2 - 655827/14732785*c_1001_4^14 + 1956191/2946557*c_1001_4^12 - 37972517/14732785*c_1001_4^10 + 70386871/14732785*c_1001_4^8 - 15419548/2946557*c_1001_4^6 + 54690349/14732785*c_1001_4^4 - 20097072/14732785*c_1001_4^2 + 21171018/14732785, c_0110_4 + 422262/14732785*c_1001_4^14 - 1094201/2946557*c_1001_4^12 + 13420477/14732785*c_1001_4^10 - 14431921/14732785*c_1001_4^8 + 1012611/2946557*c_1001_4^6 - 1381789/14732785*c_1001_4^4 + 5311287/14732785*c_1001_4^2 - 7084153/14732785, c_1001_4^16 - 14*c_1001_4^14 + 46*c_1001_4^12 - 77*c_1001_4^10 + 77*c_1001_4^8 - 47*c_1001_4^6 + 19*c_1001_4^4 - 28*c_1001_4^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB