Magma V2.19-8 Tue Aug 20 2013 23:41:58 on localhost [Seed = 2732902372] Type ? for help. Type -D to quit. Loading file "L12n612__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n612 geometric_solution 10.00040167 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 1 0132 0132 0132 2031 0 1 1 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 -1 0 1 -1 0 0 1 0 1 0 -1 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.434292144956 1.090824812580 0 0 5 4 0132 1302 0132 0132 1 1 0 1 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 -1 0 1 1 0 1 -2 2 -1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.684955033501 0.791308041206 3 0 6 4 2103 0132 0132 2031 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 0 0 1 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 1.164154816365 0.907734156051 7 8 2 0 0132 0132 2103 0132 0 1 0 1 0 0 0 0 0 0 0 0 0 1 0 -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 0 2 0 -2 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.079096364283 1.542962146666 9 2 1 10 0132 1302 0132 0132 1 1 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 0 -1 1 0 0 2 -2 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.629292538368 0.444855313855 10 7 6 1 3201 1302 1302 0132 1 1 1 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 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.367300642285 1.066648692408 5 8 7 2 2031 0321 3012 0132 0 1 1 1 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 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.007979614655 0.481526813512 3 6 10 5 0132 1230 0213 2031 1 1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.711795721998 0.476313454257 9 3 9 6 2103 0132 3012 0321 0 1 1 0 0 0 0 0 0 0 0 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 0 0 0 0 1 -1 0 0 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.274636859911 0.629460951077 4 8 8 10 0132 1230 2103 1230 1 1 0 0 0 0 1 -1 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 1 0 0 0 0 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.064548999848 1.013100080031 9 7 4 5 3012 0213 0132 2310 1 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 0 0 0 0 0 -1 1 -1 0 2 -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 0.395354075463 0.459109816612 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : d['c_0110_2'], 'c_1001_7' : d['c_1001_10'], 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_0011_3']), 'c_1001_8' : d['c_0011_4'], 'c_1010_10' : negation(d['c_0101_1']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], '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_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_1100_9' : d['c_0011_6'], 'c_1100_8' : d['c_0011_3'], 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_0011_5'], 'c_1100_7' : negation(d['c_0101_1']), 'c_1100_6' : negation(d['c_1001_10']), 'c_1100_1' : d['c_0011_5'], 'c_1100_0' : negation(d['c_0110_2']), 'c_1100_3' : negation(d['c_0110_2']), 'c_1100_2' : negation(d['c_1001_10']), 'c_1100_10' : d['c_0011_5'], 'c_1010_7' : d['c_0011_5'], 'c_1010_6' : negation(d['c_0011_0']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : d['c_0110_2'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : d['c_0101_10'], 'c_1010_8' : negation(d['c_0011_0']), '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_4']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), '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' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0011_6'], 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : negation(d['c_0011_6']), 'c_0101_4' : d['c_0011_10'], '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_0011_10'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0101_10'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_10'], 'c_0110_8' : negation(d['c_0011_6']), 'c_0110_1' : d['c_0011_10'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_10'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0011_5, c_0011_6, c_0101_1, c_0101_10, c_0101_2, c_0110_2, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 830171/3788400*c_1001_10^9 + 15553/947100*c_1001_10^8 - 402811/631400*c_1001_10^7 + 32457/252560*c_1001_10^6 + 3841217/3788400*c_1001_10^5 - 601553/757680*c_1001_10^4 + 4976627/3788400*c_1001_10^3 + 763453/947100*c_1001_10^2 - 5117153/3788400*c_1001_10 - 161629/1262800, c_0011_0 - 1, c_0011_10 + 2/7*c_1001_10^9 - 9/35*c_1001_10^8 - 16/35*c_1001_10^7 + 4/7*c_1001_10^6 + 8/35*c_1001_10^5 - 41/35*c_1001_10^4 + 139/35*c_1001_10^3 - 116/35*c_1001_10^2 + 5/7*c_1001_10 - 16/35, c_0011_3 - 6/35*c_1001_10^9 + 4/35*c_1001_10^8 + 18/35*c_1001_10^7 - 12/35*c_1001_10^6 - 23/35*c_1001_10^5 + 8/7*c_1001_10^4 - 54/35*c_1001_10^3 + 22/35*c_1001_10^2 + 11/7*c_1001_10 - 2/7, c_0011_4 + 2/7*c_1001_10^9 - 16/35*c_1001_10^8 - 16/35*c_1001_10^7 + 48/35*c_1001_10^6 + 8/35*c_1001_10^5 - 83/35*c_1001_10^4 + 32/7*c_1001_10^3 - 144/35*c_1001_10^2 + 32/35*c_1001_10 + 8/7, c_0011_5 - 2/7*c_1001_10^9 + 16/35*c_1001_10^8 + 16/35*c_1001_10^7 - 48/35*c_1001_10^6 - 8/35*c_1001_10^5 + 83/35*c_1001_10^4 - 32/7*c_1001_10^3 + 144/35*c_1001_10^2 - 32/35*c_1001_10 - 8/7, c_0011_6 - 1/7*c_1001_10^9 - 6/35*c_1001_10^8 + 22/35*c_1001_10^7 + 11/35*c_1001_10^6 - 46/35*c_1001_10^5 + 3/35*c_1001_10^4 + 4/35*c_1001_10^3 - 89/35*c_1001_10^2 + 89/35*c_1001_10 - 6/35, c_0101_1 - 1, c_0101_10 + 11/35*c_1001_10^9 - 12/35*c_1001_10^8 - 26/35*c_1001_10^7 + 36/35*c_1001_10^6 + 27/35*c_1001_10^5 - 64/35*c_1001_10^4 + 134/35*c_1001_10^3 - 94/35*c_1001_10^2 - 39/35*c_1001_10 + 6/7, c_0101_2 + 5/7*c_1001_10^9 - 19/35*c_1001_10^8 - 54/35*c_1001_10^7 + 57/35*c_1001_10^6 + 62/35*c_1001_10^5 - 127/35*c_1001_10^4 + 52/7*c_1001_10^3 - 171/35*c_1001_10^2 + 3/35*c_1001_10 + 6/7, c_0110_2 + 4/7*c_1001_10^9 - 5/7*c_1001_10^8 - 32/35*c_1001_10^7 + 68/35*c_1001_10^6 + 16/35*c_1001_10^5 - 124/35*c_1001_10^4 + 299/35*c_1001_10^3 - 52/7*c_1001_10^2 + 57/35*c_1001_10 + 24/35, c_1001_10^10 - c_1001_10^9 - 2*c_1001_10^8 + 3*c_1001_10^7 + 2*c_1001_10^6 - 6*c_1001_10^5 + 12*c_1001_10^4 - 9*c_1001_10^3 + c_1001_10^2 + 2*c_1001_10 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB