Magma V2.19-8 Wed Aug 21 2013 01:06:37 on localhost [Seed = 695153129] Type ? for help. Type -D to quit. Loading file "L14n32763__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n32763 geometric_solution 12.37403962 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 2 3 0132 0132 3201 0132 0 1 0 1 0 0 0 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 0 1 -1 6 0 1 -7 0 -3 0 3 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.455386389858 1.205730520720 0 4 6 5 0132 0132 0132 0132 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 0 0 -6 0 6 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 0.591790597572 0.749011117654 0 0 6 4 2310 0132 3012 2103 0 1 1 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 -1 0 1 0 -1 1 0 0 -1 3 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.725862886274 0.725835229693 7 8 0 4 0132 0132 0132 2310 0 1 1 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 -1 1 0 -7 0 7 0 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.366422556653 0.581698182314 3 1 5 2 3201 0132 2031 2103 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 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 0.350561162438 0.821974718026 5 5 1 4 1302 2031 0132 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.553525901834 0.294414348937 8 2 7 1 3120 1230 3120 0132 1 1 0 0 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 0 0 0 0 -1 1 0 6 0 0 -6 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.224729389196 1.230747116731 3 9 6 10 0132 0132 3120 0132 0 1 0 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 0 0 0 0 0 0 0 7 0 0 -7 -3 3 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.684091729415 0.836564103074 10 3 9 6 0132 0132 0132 3120 0 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 -1 0 0 0 6 -6 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.684091729415 0.836564103074 11 7 12 8 0132 0132 0132 0132 0 1 1 0 0 0 0 0 0 0 1 -1 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 -1 1 -1 0 7 -6 1 -1 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.262793332186 0.834906630114 8 11 7 12 0132 0132 0132 0132 0 1 1 0 0 0 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 7 -7 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.262793332186 0.834906630114 9 10 12 12 0132 0132 2103 0321 0 1 0 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 0 -1 1 1 0 0 -1 0 2 0 -2 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.916167692449 1.343034244933 11 11 10 9 2103 0321 0132 0132 0 1 0 1 0 0 0 0 0 0 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 -1 0 1 0 0 7 -7 1 2 0 -3 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.916167692449 1.343034244933 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_12'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_0011_12'], 'c_1001_5' : negation(d['c_0110_5']), 'c_1001_4' : negation(d['c_0110_5']), 'c_1001_7' : negation(d['c_0110_4']), 'c_1001_6' : d['c_0110_4'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : negation(d['c_0011_6']), 'c_1001_2' : negation(d['c_0011_6']), 'c_1001_9' : d['c_1001_10'], 'c_1001_8' : negation(d['c_0110_4']), 'c_1010_12' : d['c_1001_10'], 'c_1010_11' : d['c_1001_10'], 'c_1010_10' : d['c_0011_12'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : 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' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : 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' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_4'], 'c_1100_4' : negation(d['c_0011_5']), 'c_1100_7' : negation(d['c_0101_6']), 'c_1100_6' : d['c_0101_4'], 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0110_4']), 's_0_10' : d['1'], 'c_1100_9' : negation(d['c_0101_6']), 'c_1100_11' : d['c_0011_12'], 'c_1100_10' : negation(d['c_0101_6']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_10'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : negation(d['c_0110_4']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0110_5']), 'c_1010_0' : negation(d['c_0011_6']), 'c_1010_9' : negation(d['c_0110_4']), 'c_1010_8' : negation(d['c_0011_6']), 'c_1100_8' : negation(d['c_0101_6']), 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : 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'], 'c_1100_12' : negation(d['c_0101_6']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_10']), '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_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_12']), 'c_0110_10' : d['c_0101_11'], 'c_0110_12' : negation(d['c_0011_12']), 'c_0101_12' : d['c_0101_11'], 'c_0101_7' : negation(d['c_0101_4']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_5']), 'c_0101_9' : negation(d['c_0011_12']), 'c_0101_8' : d['c_0101_11'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : negation(d['c_0011_5']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_4']), 'c_0110_2' : d['c_0011_5'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_5, c_0011_6, c_0101_1, c_0101_11, c_0101_2, c_0101_4, c_0101_6, c_0110_4, c_0110_5, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 171215/1856*c_1001_10^10 + 777995/928*c_1001_10^9 - 5793317/1856*c_1001_10^8 + 6365447/928*c_1001_10^7 - 20738733/1856*c_1001_10^6 + 3154611/232*c_1001_10^5 - 744399/58*c_1001_10^4 + 300979/32*c_1001_10^3 - 9434647/1856*c_1001_10^2 + 1623247/928*c_1001_10 - 559983/1856, c_0011_0 - 1, c_0011_10 + 26/29*c_1001_10^10 - 217/29*c_1001_10^9 + 715/29*c_1001_10^8 - 2757/58*c_1001_10^7 + 4157/58*c_1001_10^6 - 2249/29*c_1001_10^5 + 3763/58*c_1001_10^4 - 41*c_1001_10^3 + 897/58*c_1001_10^2 - 99/58*c_1001_10 - 71/58, c_0011_12 + 31/58*c_1001_10^10 - 271/58*c_1001_10^9 + 477/29*c_1001_10^8 - 976/29*c_1001_10^7 + 2945/58*c_1001_10^6 - 3189/58*c_1001_10^5 + 1311/29*c_1001_10^4 - 51/2*c_1001_10^3 + 513/58*c_1001_10^2 + 33/58*c_1001_10 - 73/58, c_0011_5 + 1, c_0011_6 + 23/29*c_1001_10^10 - 433/58*c_1001_10^9 + 821/29*c_1001_10^8 - 3513/58*c_1001_10^7 + 2678/29*c_1001_10^6 - 6125/58*c_1001_10^5 + 5061/58*c_1001_10^4 - 111/2*c_1001_10^3 + 1185/58*c_1001_10^2 - 53/58*c_1001_10 - 113/58, c_0101_1 - 23/29*c_1001_10^10 + 433/58*c_1001_10^9 - 821/29*c_1001_10^8 + 3513/58*c_1001_10^7 - 2678/29*c_1001_10^6 + 6125/58*c_1001_10^5 - 5061/58*c_1001_10^4 + 111/2*c_1001_10^3 - 1185/58*c_1001_10^2 + 53/58*c_1001_10 + 171/58, c_0101_11 - 19/58*c_1001_10^10 + 62/29*c_1001_10^9 - 247/58*c_1001_10^8 + 79/29*c_1001_10^7 - 7/58*c_1001_10^6 - 459/58*c_1001_10^5 + 553/58*c_1001_10^4 - 21/2*c_1001_10^3 + 361/58*c_1001_10^2 - 183/58*c_1001_10 - 23/29, c_0101_2 + 1, c_0101_4 + 18/29*c_1001_10^10 - 177/29*c_1001_10^9 + 698/29*c_1001_10^8 - 1531/29*c_1001_10^7 + 2377/29*c_1001_10^6 - 2833/29*c_1001_10^5 + 2341/29*c_1001_10^4 - 53*c_1001_10^3 + 586/29*c_1001_10^2 - 22/29*c_1001_10 - 48/29, c_0101_6 + 26/29*c_1001_10^10 - 217/29*c_1001_10^9 + 715/29*c_1001_10^8 - 2757/58*c_1001_10^7 + 4157/58*c_1001_10^6 - 2249/29*c_1001_10^5 + 3763/58*c_1001_10^4 - 41*c_1001_10^3 + 897/58*c_1001_10^2 - 99/58*c_1001_10 - 71/58, c_0110_4 - 23/29*c_1001_10^10 + 433/58*c_1001_10^9 - 821/29*c_1001_10^8 + 3513/58*c_1001_10^7 - 2678/29*c_1001_10^6 + 6125/58*c_1001_10^5 - 5061/58*c_1001_10^4 + 111/2*c_1001_10^3 - 1185/58*c_1001_10^2 + 53/58*c_1001_10 + 171/58, c_0110_5 + 23/29*c_1001_10^10 - 433/58*c_1001_10^9 + 821/29*c_1001_10^8 - 3513/58*c_1001_10^7 + 2678/29*c_1001_10^6 - 6125/58*c_1001_10^5 + 5061/58*c_1001_10^4 - 111/2*c_1001_10^3 + 1185/58*c_1001_10^2 - 53/58*c_1001_10 - 171/58, c_1001_10^11 - 9*c_1001_10^10 + 33*c_1001_10^9 - 71*c_1001_10^8 + 113*c_1001_10^7 - 133*c_1001_10^6 + 120*c_1001_10^5 - 82*c_1001_10^4 + 39*c_1001_10^3 - 9*c_1001_10^2 - c_1001_10 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.360 Total time: 0.570 seconds, Total memory usage: 32.09MB