Magma V2.19-8 Tue Aug 20 2013 17:56:27 on localhost [Seed = 3970783440] Type ? for help. Type -D to quit. Loading file "10^2_88__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_88 geometric_solution 10.87766351 oriented_manifold CS_known -0.0000000000000005 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 0 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 0 0 0 0 0 0 0 0 0 0 -1 -1 2 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 0.449877725272 1.716796435490 0 4 6 5 0132 1023 0132 0132 0 0 0 1 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.384921877195 1.398161530276 7 0 8 4 0132 0132 0132 0213 0 0 0 1 0 -1 1 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 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.071557329072 0.566710628061 8 9 10 0 0132 0132 0132 0132 0 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 -1 0 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 0.857171697783 0.545052814038 1 7 0 2 1023 0132 0132 0213 0 0 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 0 0 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.480739247626 0.470115119028 11 7 1 11 0132 3201 0132 1302 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 0 0 0 1 0 1 -2 2 -2 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.622089373210 0.492735460290 9 9 11 1 3120 1023 3012 0132 0 0 1 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 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.579455819947 0.641760783925 2 4 5 10 0132 0132 2310 3120 0 0 1 0 0 1 -1 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 -2 2 0 -1 0 1 0 2 0 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.370429024524 0.941355474290 3 10 11 2 0132 3120 0132 0132 0 0 1 0 0 0 1 -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 0 -1 1 0 0 -1 1 -1 2 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.640305305001 0.594277681739 6 3 10 6 1023 0132 0321 3120 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 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 0.714343395567 1.090105628076 7 8 9 3 3120 3120 0321 0132 0 0 1 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 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.584633557635 0.264120536006 5 6 5 8 0132 1230 2031 0132 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 -1 0 1 -1 0 0 1 -1 1 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.266117757332 0.731749307491 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_11']), 'c_1001_10' : negation(d['c_0101_6']), 'c_1001_5' : negation(d['c_0101_7']), 'c_1001_4' : negation(d['c_0011_10']), 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : negation(d['c_0011_11']), 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_3'], 'c_1001_2' : negation(d['c_0011_10']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0101_6'], 'c_1010_11' : d['c_0101_6'], 'c_1010_10' : d['c_0011_3'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_11'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0101_11'], 'c_1100_4' : d['c_1001_0'], 'c_1100_7' : negation(d['c_0011_11']), 'c_1100_6' : d['c_0101_11'], 'c_1100_1' : d['c_0101_11'], 'c_1100_0' : d['c_1001_0'], 'c_1100_3' : d['c_1001_0'], 'c_1100_2' : d['c_1001_7'], 's_3_11' : negation(d['1']), 'c_1100_11' : d['c_1001_7'], 'c_1100_10' : d['c_1001_0'], 's_0_11' : negation(d['1']), 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : negation(d['c_1001_7']), 'c_1010_4' : d['c_1001_7'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_7']), 'c_1010_0' : negation(d['c_0011_10']), 'c_1010_9' : d['c_0011_3'], 'c_1010_8' : negation(d['c_0011_10']), 'c_1100_8' : d['c_1001_7'], 's_3_1' : negation(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_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 's_1_7' : 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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_0'], '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_0110_11' : d['c_0101_0'], 'c_0110_10' : d['c_0101_2'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_11']), 'c_0101_8' : d['c_0101_0'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_6']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : negation(d['c_0101_7']), 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_6, c_0101_7, c_1001_0, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 99712/33291*c_1001_7^3 - 140704/3699*c_1001_7^2 - 967264/33291*c_1001_7 - 287912/33291, c_0011_0 - 1, c_0011_10 + 8/11*c_1001_7^3 - 1/11*c_1001_7^2 + 16/11*c_1001_7 + 67/44, c_0011_11 + c_1001_7^3 + 9/4*c_1001_7 + 2, c_0011_3 + 12/11*c_1001_7^3 - 7/11*c_1001_7^2 + 35/11*c_1001_7 + 29/44, c_0101_0 - 1, c_0101_1 - 20/11*c_1001_7^3 + 8/11*c_1001_7^2 - 51/11*c_1001_7 - 24/11, c_0101_11 + 1/2*c_1001_7^2 + 9/8, c_0101_2 - 2/11*c_1001_7^3 - 8/11*c_1001_7^2 + 3/22*c_1001_7 - 20/11, c_0101_6 - 1/2, c_0101_7 - c_1001_7^3 + c_1001_7^2 - 9/4*c_1001_7 - 7/4, c_1001_0 + c_1001_7^3 - 1/2*c_1001_7^2 + 9/4*c_1001_7 + 7/8, c_1001_7^4 + 5/2*c_1001_7^2 + 2*c_1001_7 + 9/16 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_6, c_0101_7, c_1001_0, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 109524/11459*c_1001_7^6 + 2072759/45836*c_1001_7^5 - 190205/3274*c_1001_7^4 + 473189/11459*c_1001_7^3 - 609949/11459*c_1001_7^2 + 313243/6548*c_1001_7 - 363851/22918, c_0011_0 - 1, c_0011_10 - 13028/1637*c_1001_7^6 + 36227/6548*c_1001_7^5 - 3047/1637*c_1001_7^4 + 51697/6548*c_1001_7^3 - 25333/6548*c_1001_7^2 + 2903/1637*c_1001_7 + 1845/6548, c_0011_11 - 6532/1637*c_1001_7^6 + 13435/6548*c_1001_7^5 + 246/1637*c_1001_7^4 + 30171/6548*c_1001_7^3 - 12605/6548*c_1001_7^2 + 9/1637*c_1001_7 + 723/6548, c_0011_3 - 3236/1637*c_1001_7^6 + 14515/6548*c_1001_7^5 - 1287/3274*c_1001_7^4 + 28071/6548*c_1001_7^3 - 6405/6548*c_1001_7^2 + 5363/3274*c_1001_7 - 4217/6548, c_0101_0 - 1, c_0101_1 - 13028/1637*c_1001_7^6 + 36227/6548*c_1001_7^5 - 3047/1637*c_1001_7^4 + 51697/6548*c_1001_7^3 - 25333/6548*c_1001_7^2 + 2903/1637*c_1001_7 + 1845/6548, c_0101_11 + 8136/1637*c_1001_7^6 - 16531/3274*c_1001_7^5 + 2995/3274*c_1001_7^4 - 14329/3274*c_1001_7^3 + 12293/3274*c_1001_7^2 - 3943/3274*c_1001_7 - 749/3274, c_0101_2 + 1504/1637*c_1001_7^6 - 2674/1637*c_1001_7^5 + 5323/3274*c_1001_7^4 + 395/3274*c_1001_7^3 + 2535/1637*c_1001_7^2 - 6493/3274*c_1001_7 - 2033/3274, c_0101_6 + 6784/1637*c_1001_7^6 - 80/1637*c_1001_7^5 - 5839/3274*c_1001_7^4 - 12603/3274*c_1001_7^3 - 338/1637*c_1001_7^2 + 2721/3274*c_1001_7 - 2239/3274, c_0101_7 - 4992/1637*c_1001_7^6 + 3024/1637*c_1001_7^5 - 1263/3274*c_1001_7^4 + 5579/1637*c_1001_7^3 - 647/1637*c_1001_7^2 - 705/3274*c_1001_7 - 736/1637, c_1001_0 - 4992/1637*c_1001_7^6 + 3024/1637*c_1001_7^5 - 1263/3274*c_1001_7^4 + 5579/1637*c_1001_7^3 - 647/1637*c_1001_7^2 + 2569/3274*c_1001_7 + 901/1637, c_1001_7^7 - 11/16*c_1001_7^6 + 1/16*c_1001_7^5 - 17/16*c_1001_7^4 + 1/2*c_1001_7^3 - 3/16*c_1001_7^2 - 1/16*c_1001_7 - 1/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.270 seconds, Total memory usage: 32.09MB