Magma V2.19-8 Tue Aug 20 2013 17:56:26 on localhost [Seed = 2429625517] Type ? for help. Type -D to quit. Loading file "10^2_88__sl2_c0.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' : 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' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : 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' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : 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' : d['1'], 'c_1100_11' : d['c_1001_7'], 'c_1100_10' : d['c_1001_0'], 's_0_11' : 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' : 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' : 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' : d['1'], 's_1_1' : d['1'], 's_1_0' : 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: 8 Groebner basis: [ t + 245061152/4560805*c_1001_7^7 + 32961016/912161*c_1001_7^6 + 574314344/4560805*c_1001_7^5 + 73224916/912161*c_1001_7^4 + 596061088/4560805*c_1001_7^3 - 65872754/4560805*c_1001_7^2 - 163051906/4560805*c_1001_7 - 21992379/912161, c_0011_0 - 1, c_0011_10 - 166/5*c_1001_7^7 - 112/5*c_1001_7^6 - 401/5*c_1001_7^5 - 267/5*c_1001_7^4 - 831/10*c_1001_7^3 + 61/5*c_1001_7^2 + 107/4*c_1001_7 + 71/4, c_0011_11 + 16*c_1001_7^7 + 11*c_1001_7^6 + 39*c_1001_7^5 + 53/2*c_1001_7^4 + 41*c_1001_7^3 - 21/4*c_1001_7^2 - 47/4*c_1001_7 - 71/8, c_0011_3 - 122/5*c_1001_7^7 - 84/5*c_1001_7^6 - 297/5*c_1001_7^5 - 199/5*c_1001_7^4 - 617/10*c_1001_7^3 + 42/5*c_1001_7^2 + 83/4*c_1001_7 + 55/4, c_0101_0 - 1, c_0101_1 - 72/5*c_1001_7^7 - 54/5*c_1001_7^6 - 172/5*c_1001_7^5 - 129/5*c_1001_7^4 - 176/5*c_1001_7^3 + 29/10*c_1001_7^2 + 14*c_1001_7 + 31/4, c_0101_11 + 2*c_1001_7^7 + c_1001_7^6 + 4*c_1001_7^5 + 5/2*c_1001_7^4 + 7/2*c_1001_7^3 - 7/4*c_1001_7^2 - 3/2*c_1001_7 + 1/8, c_0101_2 + 22/5*c_1001_7^7 + 14/5*c_1001_7^6 + 47/5*c_1001_7^5 + 34/5*c_1001_7^4 + 87/10*c_1001_7^3 - 19/10*c_1001_7^2 - 21/4*c_1001_7, c_0101_6 - 24*c_1001_7^7 - 16*c_1001_7^6 - 58*c_1001_7^5 - 39*c_1001_7^4 - 60*c_1001_7^3 + 8*c_1001_7^2 + 37/2*c_1001_7 + 49/4, c_0101_7 - 26*c_1001_7^7 - 17*c_1001_7^6 - 62*c_1001_7^5 - 81/2*c_1001_7^4 - 127/2*c_1001_7^3 + 43/4*c_1001_7^2 + 21*c_1001_7 + 111/8, c_1001_0 + 24*c_1001_7^7 + 16*c_1001_7^6 + 58*c_1001_7^5 + 38*c_1001_7^4 + 60*c_1001_7^3 - 9*c_1001_7^2 - 39/2*c_1001_7 - 12, c_1001_7^8 + 2*c_1001_7^6 + 3/2*c_1001_7^4 - 2*c_1001_7^3 - 1/2*c_1001_7^2 + 5/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.260 seconds, Total memory usage: 32.09MB