Magma V2.19-8 Tue Aug 20 2013 16:16:09 on localhost [Seed = 3086363511] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0415 geometric_solution 4.47552902 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 1 0132 3201 2310 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 1 0 -1 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 -0.692055727925 0.047977898212 0 0 2 2 0132 2310 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 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.058073764696 0.286736786843 3 1 1 3 0132 3201 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 1 0 -1 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 1.516085052356 0.620003875283 2 4 5 2 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 -1 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.071116778536 0.355143667888 5 3 5 6 2310 0132 2103 0132 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 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 0.300363861092 1.130094515278 4 6 4 3 2103 2310 3201 0132 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 -1 1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.300363861092 1.130094515278 6 6 4 5 1230 3012 0132 3201 0 0 0 0 0 0 0 0 -1 0 1 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 0 0 0 1 0 -1 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 0.780328517610 0.826496025554 ==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' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : negation(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' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_5']), 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : negation(d['c_0011_5']), 's_3_6' : d['1'], 'c_1100_1' : 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_2'], 'c_0101_6' : negation(d['c_0101_4']), 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_2'], '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' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : d['c_0011_5'], 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0011_6']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_5'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : negation(d['c_0101_4']), 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : d['c_0101_4'], 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : 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_2, c_0011_5, c_0011_6, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 28 Groebner basis: [ t + 101379/1091*c_0101_4^13 - 115193/1091*c_0101_4^12 + 27506/1091*c_0101_4^11 + 91909/1091*c_0101_4^10 - 13282/1091*c_0101_4^9 - 190312/1091*c_0101_4^8 - 678330/1091*c_0101_4^7 + 681423/1091*c_0101_4^6 - 183952/1091*c_0101_4^5 - 664343/1091*c_0101_4^4 + 387966/1091*c_0101_4^3 + 267679/1091*c_0101_4^2 + 359254/1091*c_0101_4 - 324886/1091, c_0011_0 - 1, c_0011_2 - 1447/1091*c_0101_4^13 + 673/1091*c_0101_4^12 - 112/1091*c_0101_4^11 - 955/1091*c_0101_4^10 - 1065/1091*c_0101_4^9 + 2546/1091*c_0101_4^8 + 10712/1091*c_0101_4^7 - 1500/1091*c_0101_4^6 + 1446/1091*c_0101_4^5 + 9154/1091*c_0101_4^4 + 3217/1091*c_0101_4^3 - 3360/1091*c_0101_4^2 - 6302/1091*c_0101_4 - 939/1091, c_0011_5 - 3307/1091*c_0101_1*c_0101_4^13 + 573/1091*c_0101_1*c_0101_4^12 + 639/1091*c_0101_1*c_0101_4^11 - 2880/1091*c_0101_1*c_0101_4^10 - 2155/1091*c_0101_1*c_0101_4^9 + 4742/1091*c_0101_1*c_0101_4^8 + 27489/1091*c_0101_1*c_0101_4^7 + 2051/1091*c_0101_1*c_0101_4^6 + 1082/1091*c_0101_1*c_0101_4^5 + 23773/1091*c_0101_1*c_0101_4^4 + 8502/1091*c_0101_1*c_0101_4^3 - 7014/1091*c_0101_1*c_0101_4^2 - 20056/1091*c_0101_1*c_0101_4 - 4374/1091*c_0101_1, c_0011_6 - 2536/1091*c_0101_1*c_0101_4^13 + 896/1091*c_0101_1*c_0101_4^12 + 428/1091*c_0101_1*c_0101_4^11 - 2390/1091*c_0101_1*c_0101_4^10 - 1580/1091*c_0101_1*c_0101_4^9 + 4064/1091*c_0101_1*c_0101_4^8 + 20005/1091*c_0101_1*c_0101_4^7 - 1749/1091*c_0101_1*c_0101_4^6 + 163/1091*c_0101_1*c_0101_4^5 + 19179/1091*c_0101_1*c_0101_4^4 + 5669/1091*c_0101_1*c_0101_4^3 - 5707/1091*c_0101_1*c_0101_4^2 - 12310/1091*c_0101_1*c_0101_4 - 2607/1091*c_0101_1, c_0101_0 + 4754/1091*c_0101_1*c_0101_4^13 - 1246/1091*c_0101_1*c_0101_4^12 - 527/1091*c_0101_1*c_0101_4^11 + 3835/1091*c_0101_1*c_0101_4^10 + 3220/1091*c_0101_1*c_0101_4^9 - 7288/1091*c_0101_1*c_0101_4^8 - 38201/1091*c_0101_1*c_0101_4^7 - 551/1091*c_0101_1*c_0101_4^6 - 2528/1091*c_0101_1*c_0101_4^5 - 32927/1091*c_0101_1*c_0101_4^4 - 11719/1091*c_0101_1*c_0101_4^3 + 10374/1091*c_0101_1*c_0101_4^2 + 26358/1091*c_0101_1*c_0101_4 + 5313/1091*c_0101_1, c_0101_1^2 + 1469/2182*c_0101_4^13 - 201/1091*c_0101_4^12 - 247/1091*c_0101_4^11 + 1535/2182*c_0101_4^10 + 855/2182*c_0101_4^9 - 2213/2182*c_0101_4^8 - 6067/1091*c_0101_4^7 - 74/1091*c_0101_4^6 + 403/1091*c_0101_4^5 - 12343/2182*c_0101_4^4 - 1760/1091*c_0101_4^3 + 1318/1091*c_0101_4^2 + 3928/1091*c_0101_4 + 47/2182, c_0101_4^14 - c_0101_4^13 + c_0101_4^11 - 2*c_0101_4^9 - 7*c_0101_4^8 + 6*c_0101_4^7 - 7*c_0101_4^5 + 3*c_0101_4^4 + 4*c_0101_4^3 + 4*c_0101_4^2 - 3*c_0101_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB