Magma V2.19-8 Tue Aug 20 2013 23:55:34 on localhost [Seed = 2615014365] Type ? for help. Type -D to quit. Loading file "L14n1138__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n1138 geometric_solution 10.68454458 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 1 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 0 0 0 0 1 0 -1 0 0 0 0 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.433307677410 1.516385144711 0 5 6 4 0132 0132 0132 3201 1 1 1 1 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 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 0.421207832966 0.607053827198 3 0 8 7 1023 0132 0132 0132 1 1 1 1 0 0 -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 -1 -1 2 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 0.043319782804 1.160775285172 9 2 6 0 0132 1023 3120 0132 1 1 1 1 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 -2 0 2 0 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.448982233457 0.690843050196 9 1 0 6 3012 2310 0132 3120 1 1 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 0 0 0 -1 1 0 1 0 0 -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 -0.351928927851 0.633621857453 9 1 7 10 1023 0132 1302 0132 1 1 1 1 0 0 0 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 0 0 0 0 0 0 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 0.989580349790 0.996536145903 4 10 3 1 3120 0132 3120 0132 1 1 1 1 0 -1 1 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 -2 2 0 1 0 -2 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 1.320853655365 0.885455539061 5 10 2 11 2031 0321 0132 0132 1 1 1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.043319782804 1.160775285172 11 11 11 2 1302 3012 0132 0132 1 1 1 0 0 0 -1 1 0 0 0 0 1 0 0 -1 1 -2 1 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 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.032105949486 0.860295002829 3 5 10 4 0132 1023 1302 1230 1 1 1 1 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 0 0 0 0 0 0 1 -1 2 0 -2 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 0.484352477753 0.416006560045 9 6 5 7 2031 0132 0132 0321 1 1 1 1 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 2 0 -2 -1 0 0 1 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.608219012978 0.560503302468 8 8 7 8 1230 2031 0132 0132 1 1 0 1 0 -1 0 1 0 0 0 0 2 -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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.032105949486 0.860295002829 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_2']), 'c_1001_10' : d['c_1001_1'], 'c_1001_5' : d['c_0101_11'], 'c_1001_4' : negation(d['c_0101_11']), 'c_1001_7' : d['c_0101_7'], 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_7'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : negation(d['c_0101_11']), 'c_1001_9' : negation(d['c_0011_7']), 'c_1001_8' : negation(d['c_0011_11']), 'c_1010_11' : negation(d['c_0011_11']), 'c_1010_10' : negation(d['c_0101_2']), 's_3_11' : d['1'], 's_3_10' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_1'], 's_2_0' : negation(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' : negation(d['1']), 's_2_10' : negation(d['1']), 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0101_1'], 'c_1100_8' : d['c_1100_11'], 'c_1100_5' : d['c_0101_7'], 'c_1100_4' : negation(d['c_0101_6']), 'c_1100_7' : d['c_1100_11'], 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(d['c_0101_6']), 'c_1100_3' : negation(d['c_0101_6']), 'c_1100_2' : d['c_1100_11'], 's_0_10' : d['1'], 'c_1100_11' : d['c_1100_11'], 'c_1100_10' : d['c_0101_7'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_2']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0011_10'], 'c_1010_3' : d['c_0101_7'], 'c_1010_2' : d['c_0101_7'], 'c_1010_1' : d['c_0101_11'], 'c_1010_0' : negation(d['c_0101_11']), 'c_1010_9' : d['c_0101_1'], 'c_1010_8' : negation(d['c_0101_11']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : negation(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' : negation(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' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_0'], 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_11']), 'c_0110_10' : negation(d['c_0011_7']), 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_7']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_10']), 'c_0101_9' : negation(d['c_0011_10']), 'c_0101_8' : negation(d['c_0011_11']), 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_4'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : negation(d['c_0011_10']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_10']), 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0101_11'], '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_4, c_0011_7, c_0101_1, c_0101_11, c_0101_2, c_0101_6, c_0101_7, c_1001_1, c_1100_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 1390352407/15184928440320*c_1100_11^9 - 345124909/2277739266048*c_1100_11^8 - 280537937/711793520640*c_1100_11^7 + 844760513/23337492480*c_1100_11^6 - 4970357447/355896760320*c_1100_11^5 - 18546854015/35589676032*c_1100_11^4 + 3606582221/88974190080*c_1100_11^3 + 800093851/695110860*c_1100_11^2 - 14141115143/2780443440*c_1100_11 - 6301122731/695110860, c_0011_0 - 1, c_0011_10 - 439/966656*c_1100_11^9 - 757/966656*c_1100_11^8 - 451/241664*c_1100_11^7 + 21591/120832*c_1100_11^6 - 219/3776*c_1100_11^5 - 313/118*c_1100_11^4 + 49/118*c_1100_11^3 + 763/118*c_1100_11^2 - 1727/59*c_1100_11 - 3137/59, c_0011_11 + 1, c_0011_4 - 1069/1933312*c_1100_11^9 - 477/483328*c_1100_11^8 - 69/30208*c_1100_11^7 + 13129/60416*c_1100_11^6 - 1729/30208*c_1100_11^5 - 6143/1888*c_1100_11^4 + 375/944*c_1100_11^3 + 474/59*c_1100_11^2 - 2108/59*c_1100_11 - 3884/59, c_0011_7 + 1, c_0101_1 - 999/3866624*c_1100_11^9 - 427/966656*c_1100_11^8 - 519/483328*c_1100_11^7 + 6/59*c_1100_11^6 - 65/1888*c_1100_11^5 - 1415/944*c_1100_11^4 + 115/472*c_1100_11^3 + 849/236*c_1100_11^2 - 1973/118*c_1100_11 - 1756/59, c_0101_11 + 27/966656*c_1100_11^9 - 71/483328*c_1100_11^8 + 11/60416*c_1100_11^7 - 91/7552*c_1100_11^6 + 1241/15104*c_1100_11^5 - 197/7552*c_1100_11^4 - 693/944*c_1100_11^3 + 593/472*c_1100_11^2 + 62/59*c_1100_11 - 389/59, c_0101_2 - 27/966656*c_1100_11^9 + 71/483328*c_1100_11^8 - 11/60416*c_1100_11^7 + 91/7552*c_1100_11^6 - 1241/15104*c_1100_11^5 + 197/7552*c_1100_11^4 + 693/944*c_1100_11^3 - 593/472*c_1100_11^2 - 3/59*c_1100_11 + 389/59, c_0101_6 + 133/241664*c_1100_11^9 + 989/966656*c_1100_11^8 + 537/241664*c_1100_11^7 - 26121/120832*c_1100_11^6 + 601/15104*c_1100_11^5 + 24847/7552*c_1100_11^4 - 121/472*c_1100_11^3 - 1983/236*c_1100_11^2 + 2111/59*c_1100_11 + 3967/59, c_0101_7 - 125/966656*c_1100_11^9 - 5/241664*c_1100_11^8 - 5/7552*c_1100_11^7 + 1565/30208*c_1100_11^6 - 1493/15104*c_1100_11^5 - 1017/1888*c_1100_11^4 + 809/944*c_1100_11^3 - 43/236*c_1100_11^2 - 821/118*c_1100_11 - 216/59, c_1001_1 + 31/65536*c_1100_11^9 + 15/16384*c_1100_11^8 + 15/8192*c_1100_11^7 - 95/512*c_1100_11^6 + 5/256*c_1100_11^5 + 185/64*c_1100_11^4 - 5/32*c_1100_11^3 - 31/4*c_1100_11^2 + 63/2*c_1100_11 + 60, c_1100_11^10 + 4*c_1100_11^9 + 8*c_1100_11^8 - 384*c_1100_11^7 - 768*c_1100_11^6 + 6144*c_1100_11^5 + 12288*c_1100_11^4 - 16384*c_1100_11^3 + 32768*c_1100_11^2 + 262144*c_1100_11 + 262144 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.120 Total time: 0.330 seconds, Total memory usage: 32.09MB