Magma V2.19-8 Tue Aug 20 2013 23:47:39 on localhost [Seed = 3170555630] Type ? for help. Type -D to quit. Loading file "L11a383__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L11a383 geometric_solution 11.47673817 oriented_manifold CS_known 0.0000000000000006 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 2 3 0132 0132 1302 0132 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 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 0.756945055271 0.961435933863 0 4 5 4 0132 0132 0132 1230 1 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 0 0 0 0 0 0 1 -1 0 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 0.247149027417 0.977630618636 0 0 7 6 2031 0132 0132 0132 1 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 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 0.494468388513 0.642102426857 5 5 0 8 0321 0213 0132 0132 1 1 1 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 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 0.756945055271 0.961435933863 1 1 9 8 3012 0132 0132 2031 1 1 1 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 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 0.494468388513 0.642102426857 3 7 3 1 0321 0132 0213 0132 1 1 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 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 0 0 0 0 0 0.494468388513 0.642102426857 9 9 2 10 1302 3012 0132 0132 1 1 1 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 0 1 -1 0 0 0 0 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.955727921454 1.110819552594 11 5 10 2 0132 0132 2031 0132 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 0 0 0 0 0 0 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 0.858001654162 0.818769104915 10 4 3 11 0321 1302 0132 1302 1 1 1 1 0 -1 1 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 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 0.389995488336 0.582111754198 6 6 11 4 1230 2031 3012 0132 1 1 0 1 0 0 1 -1 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 1 -1 0 0 0 0 -1 2 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.955727921454 1.110819552594 8 11 6 7 0321 2310 0132 1302 1 1 1 1 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 -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 0.449260532987 0.477890192129 7 9 8 10 0132 1230 2031 3201 1 1 1 1 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 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 1.035822308905 0.898808514483 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : negation(d['c_0101_9']), 'c_1001_5' : d['c_1001_2'], 'c_1001_4' : d['c_0011_6'], 'c_1001_7' : d['c_0011_8'], 'c_1001_6' : negation(d['c_0011_9']), 'c_1001_1' : d['c_0011_8'], 'c_1001_0' : negation(d['c_0011_9']), 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : d['c_0110_4'], 'c_1010_11' : d['c_0101_9'], 'c_1010_10' : negation(d['c_0101_7']), 's_0_10' : d['1'], 's_0_11' : 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_0110_4'], 'c_1100_4' : negation(d['c_0011_10']), 'c_1100_7' : d['c_0101_7'], 'c_1100_6' : d['c_0101_7'], 'c_1100_1' : d['c_0110_4'], 'c_1100_0' : d['c_0101_11'], 'c_1100_3' : d['c_0101_11'], 'c_1100_2' : d['c_0101_7'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : d['c_0101_7'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : negation(d['c_0101_9']), 'c_1010_5' : d['c_0011_8'], 'c_1010_4' : d['c_0011_8'], 'c_1010_3' : d['c_0110_4'], 'c_1010_2' : negation(d['c_0011_9']), 'c_1010_1' : d['c_0011_6'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0011_6'], 'c_1010_8' : d['c_0011_10'], 'c_1100_8' : d['c_0101_11'], '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' : d['c_0011_9'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_11'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_11']), '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_11' : d['c_0101_7'], 'c_0110_10' : negation(d['c_0011_8']), 'c_0110_0' : negation(d['c_0011_3']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_9']), 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0101_11'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0011_11']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_6'], 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0011_0'], 'c_1100_9' : negation(d['c_0011_10']), 'c_0110_3' : negation(d['c_0011_11']), 'c_0110_2' : negation(d['c_0011_9']), 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : d['c_0011_11']})} 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_0011_6, c_0011_8, c_0011_9, c_0101_11, c_0101_7, c_0101_9, c_0110_4, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 2213*c_1001_2^7 + 18435/4*c_1001_2^6 - 6499/2*c_1001_2^5 + 475*c_1001_2^4 + 21735/4*c_1001_2^3 - 12085/4*c_1001_2^2 + 991*c_1001_2 + 4813/4, c_0011_0 - 1, c_0011_10 + c_1001_2^7 + 17/4*c_1001_2^6 + 3*c_1001_2^5 + 13/2*c_1001_2^4 + 29/4*c_1001_2^3 + 15/4*c_1001_2^2 + 7/2*c_1001_2 + 7/4, c_0011_11 - 3*c_1001_2^7 - 3/4*c_1001_2^6 - 2*c_1001_2^5 - 13/2*c_1001_2^4 + 5/4*c_1001_2^3 - 5/4*c_1001_2^2 - 3/2*c_1001_2 + 7/4, c_0011_3 + 1, c_0011_6 - 3*c_1001_2^7 + 13/4*c_1001_2^6 - 5*c_1001_2^5 + 1/2*c_1001_2^4 + 13/4*c_1001_2^3 - 9/4*c_1001_2^2 + 5/2*c_1001_2 + 3/4, c_0011_8 - 3*c_1001_2^7 + 13/4*c_1001_2^6 - 5*c_1001_2^5 + 1/2*c_1001_2^4 + 13/4*c_1001_2^3 - 9/4*c_1001_2^2 + 7/2*c_1001_2 + 3/4, c_0011_9 + 3*c_1001_2^7 - 13/4*c_1001_2^6 + 5*c_1001_2^5 - 1/2*c_1001_2^4 - 13/4*c_1001_2^3 + 9/4*c_1001_2^2 - 5/2*c_1001_2 - 3/4, c_0101_11 + 3*c_1001_2^7 - 13/4*c_1001_2^6 + 5*c_1001_2^5 - 1/2*c_1001_2^4 - 13/4*c_1001_2^3 + 9/4*c_1001_2^2 - 7/2*c_1001_2 - 3/4, c_0101_7 - c_1001_2^7 - 17/4*c_1001_2^6 - 3*c_1001_2^5 - 13/2*c_1001_2^4 - 29/4*c_1001_2^3 - 15/4*c_1001_2^2 - 7/2*c_1001_2 - 7/4, c_0101_9 + 4*c_1001_2^7 + 5*c_1001_2^6 + 5*c_1001_2^5 + 13*c_1001_2^4 + 6*c_1001_2^3 + 5*c_1001_2^2 + 5*c_1001_2, c_0110_4 + c_1001_2, c_1001_2^8 - 3/4*c_1001_2^7 + 7/4*c_1001_2^6 + 1/2*c_1001_2^5 - 1/4*c_1001_2^4 + 3/2*c_1001_2^3 - 1/4*c_1001_2^2 + 1/4*c_1001_2 + 1/4 ], 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_0011_6, c_0011_8, c_0011_9, c_0101_11, c_0101_7, c_0101_9, c_0110_4, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 630141613/849754201*c_1001_2^9 + 184142557/849754201*c_1001_2^8 + 5634981221/849754201*c_1001_2^7 - 206778437/849754201*c_1001_2^6 - 21009895506/849754201*c_1001_2^5 - 16191066288/849754201*c_1001_2^4 + 14917168251/849754201*c_1001_2^3 + 31452412398/849754201*c_1001_2^2 + 35357319827/849754201*c_1001_2 - 35603421076/849754201, c_0011_0 - 1, c_0011_10 - 5575577/732546725*c_1001_2^9 + 1538876/146509345*c_1001_2^8 + 38237388/732546725*c_1001_2^7 - 15347211/732546725*c_1001_2^6 - 175857763/732546725*c_1001_2^5 - 113424697/732546725*c_1001_2^4 + 447633809/732546725*c_1001_2^3 + 41946889/732546725*c_1001_2^2 - 260702003/732546725*c_1001_2 + 178472088/732546725, c_0011_11 - 14290137/732546725*c_1001_2^9 + 1691211/146509345*c_1001_2^8 + 122753703/732546725*c_1001_2^7 - 36654991/732546725*c_1001_2^6 - 449500378/732546725*c_1001_2^5 - 283889232/732546725*c_1001_2^4 + 375159829/732546725*c_1001_2^3 + 688479684/732546725*c_1001_2^2 + 716251207/732546725*c_1001_2 + 220973378/732546725, c_0011_3 + 1, c_0011_6 + 15716188/732546725*c_1001_2^9 + 5179966/146509345*c_1001_2^8 - 162493547/732546725*c_1001_2^7 - 258312891/732546725*c_1001_2^6 + 689406197/732546725*c_1001_2^5 + 1305368893/732546725*c_1001_2^4 - 228624146/732546725*c_1001_2^3 - 1376353716/732546725*c_1001_2^2 - 890541393/732546725*c_1001_2 - 503997272/732546725, c_0011_8 - 17809943/732546725*c_1001_2^9 + 2569904/146509345*c_1001_2^8 + 140863067/732546725*c_1001_2^7 - 91192299/732546725*c_1001_2^6 - 409057092/732546725*c_1001_2^5 - 101298373/732546725*c_1001_2^4 - 3018919/732546725*c_1001_2^3 - 79938124/732546725*c_1001_2^2 + 413934473/732546725*c_1001_2 - 115999158/732546725, c_0011_9 + 10779939/732546725*c_1001_2^9 + 3781568/146509345*c_1001_2^8 - 109510116/732546725*c_1001_2^7 - 174904598/732546725*c_1001_2^6 + 453493616/732546725*c_1001_2^5 + 902896204/732546725*c_1001_2^4 - 142417513/732546725*c_1001_2^3 - 969486798/732546725*c_1001_2^2 - 149846354/732546725*c_1001_2 + 26415859/732546725, c_0101_11 + 10779939/732546725*c_1001_2^9 + 3781568/146509345*c_1001_2^8 - 109510116/732546725*c_1001_2^7 - 174904598/732546725*c_1001_2^6 + 453493616/732546725*c_1001_2^5 + 902896204/732546725*c_1001_2^4 - 142417513/732546725*c_1001_2^3 - 969486798/732546725*c_1001_2^2 - 882393079/732546725*c_1001_2 + 26415859/732546725, c_0101_7 - 20705076/732546725*c_1001_2^9 - 244037/146509345*c_1001_2^8 + 181521419/732546725*c_1001_2^7 + 38595182/732546725*c_1001_2^6 - 659136969/732546725*c_1001_2^5 - 582243661/732546725*c_1001_2^4 + 450598942/732546725*c_1001_2^3 + 437209507/732546725*c_1001_2^2 + 140586986/732546725*c_1001_2 - 331246006/732546725, c_0101_9 - 419681/732546725*c_1001_2^9 - 1737062/146509345*c_1001_2^8 + 10265164/732546725*c_1001_2^7 + 45298692/732546725*c_1001_2^6 - 16889414/732546725*c_1001_2^5 - 92464866/732546725*c_1001_2^4 - 186097348/732546725*c_1001_2^3 - 146608533/732546725*c_1001_2^2 - 157481109/732546725*c_1001_2 - 365345736/732546725, c_0110_4 - 33526131/732546725*c_1001_2^9 - 2610062/146509345*c_1001_2^8 + 303356614/732546725*c_1001_2^7 + 167120592/732546725*c_1001_2^6 - 1098463289/732546725*c_1001_2^5 - 1406667266/732546725*c_1001_2^4 + 225605227/732546725*c_1001_2^3 + 1296415592/732546725*c_1001_2^2 + 1304475866/732546725*c_1001_2 + 387998114/732546725, c_1001_2^10 + c_1001_2^9 - 9*c_1001_2^8 - 11*c_1001_2^7 + 32*c_1001_2^6 + 65*c_1001_2^5 + 9*c_1001_2^4 - 54*c_1001_2^3 - 73*c_1001_2^2 - 45*c_1001_2 - 29 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.170 Total time: 0.370 seconds, Total memory usage: 32.09MB