Magma V2.19-8 Tue Aug 20 2013 16:18:35 on localhost [Seed = 1528481385] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2770 geometric_solution 6.00131846 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 2 0132 1230 3012 0132 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 0 1 -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 0.075052892722 0.541209334791 0 2 4 3 0132 2310 0132 0132 0 0 0 0 0 1 0 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.570541353295 1.175718889252 5 3 0 1 0132 2310 0132 3201 0 0 0 0 0 1 -1 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 1 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 0.570541353295 1.175718889252 5 4 1 2 3012 3012 0132 3201 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 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 0 0 0.307842696548 0.251563625605 3 5 6 1 1230 0213 0132 0132 0 0 0 0 0 0 0 0 -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 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 0.152214563422 0.816075580396 2 6 4 3 0132 3201 0213 1230 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 0.152214563422 0.816075580396 6 6 5 4 1230 3012 2310 0132 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 0 1.779126653342 1.184179361791 ==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' : negation(d['c_0011_2']), 'c_1100_5' : d['c_0110_3'], 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_2']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_2']), 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0011_6'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], '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' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0101_6']), 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : d['c_0110_3'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : d['c_0011_6'], 'c_0110_1' : d['c_0011_6'], 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : d['c_0110_3'], 'c_1010_3' : negation(d['c_0011_6']), 'c_1010_2' : negation(d['c_0110_3']), 'c_1010_1' : negation(d['c_0011_4']), 'c_1010_0' : d['c_0011_6']})} 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_2, c_0011_3, c_0011_4, c_0011_6, c_0101_6, c_0110_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 3061833/724544*c_0110_3^11 - 1076883/724544*c_0110_3^10 - 7811505/724544*c_0110_3^9 + 51070157/724544*c_0110_3^8 - 12947347/181136*c_0110_3^7 + 25360177/181136*c_0110_3^6 - 91997495/724544*c_0110_3^5 + 18810743/362272*c_0110_3^4 - 29696885/724544*c_0110_3^3 - 4252625/90568*c_0110_3^2 + 3869989/362272*c_0110_3 - 21321711/724544, c_0011_0 - 1, c_0011_2 - 4606/11321*c_0110_3^11 - 473/11321*c_0110_3^10 - 9703/11321*c_0110_3^9 + 77037/11321*c_0110_3^8 - 99932/11321*c_0110_3^7 + 127549/11321*c_0110_3^6 - 125464/11321*c_0110_3^5 + 27408/11321*c_0110_3^4 + 8177/11321*c_0110_3^3 - 30662/11321*c_0110_3^2 + 18500/11321*c_0110_3 + 4516/11321, c_0011_3 + 3754/11321*c_0110_3^11 + 8118/11321*c_0110_3^10 + 18831/11321*c_0110_3^9 - 27890/11321*c_0110_3^8 + 5641/11321*c_0110_3^7 - 12832/11321*c_0110_3^6 - 28218/11321*c_0110_3^5 + 48262/11321*c_0110_3^4 - 32659/11321*c_0110_3^3 + 7849/11321*c_0110_3^2 + 2899/11321*c_0110_3 - 10371/11321, c_0011_4 - c_0110_3, c_0011_6 + 762/11321*c_0110_3^11 + 5520/11321*c_0110_3^10 + 8738/11321*c_0110_3^9 + 10497/11321*c_0110_3^8 - 42034/11321*c_0110_3^7 + 40508/11321*c_0110_3^6 - 85783/11321*c_0110_3^5 + 54622/11321*c_0110_3^4 - 17329/11321*c_0110_3^3 - 2478/11321*c_0110_3^2 + 18731/11321*c_0110_3 - 3613/11321, c_0101_6 + 1127/11321*c_0110_3^11 + 4331/11321*c_0110_3^10 + 9239/11321*c_0110_3^9 + 59/11321*c_0110_3^8 - 14329/11321*c_0110_3^7 + 4079/11321*c_0110_3^6 - 13381/11321*c_0110_3^5 - 3334/11321*c_0110_3^4 + 14499/11321*c_0110_3^3 - 35132/11321*c_0110_3^2 + 9444/11321*c_0110_3 + 822/11321, c_0110_3^12 + 2*c_0110_3^11 + 6*c_0110_3^10 - 6*c_0110_3^9 + 9*c_0110_3^8 - 16*c_0110_3^7 + 3*c_0110_3^6 - 5*c_0110_3^5 - 5*c_0110_3^4 + 3*c_0110_3^3 - 2*c_0110_3^2 + c_0110_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB