Magma V2.19-8 Tue Aug 20 2013 23:42:34 on localhost [Seed = 3634281918] Type ? for help. Type -D to quit. Loading file "L13n4424__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4424 geometric_solution 9.85011176 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 1 1 0 1 0 0 0 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 1 0 -1 0 0 0 0 1 0 0 -1 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.894011876132 0.814900165688 0 5 7 6 0132 0132 0132 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 2 -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 0.589862187285 1.300193613597 8 0 9 5 0132 0132 0132 1302 1 1 1 0 0 0 0 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 -1 0 1 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 0 0 0.692229313540 0.871213663762 4 7 9 0 3201 1230 1023 0132 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 0 0 0 0 0 0 0 1 1 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.557520367307 0.316939848458 8 6 0 3 3012 3012 0132 2310 1 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 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 0.851543796474 0.914709143206 7 1 2 10 1023 0132 2031 0132 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 -2 2 0 1 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 0.396861241862 0.938654465756 4 10 1 9 1230 0132 0132 3120 1 1 0 1 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 -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 0.184155886735 0.683357029097 8 5 3 1 1023 1023 3012 0132 1 1 0 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 -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 0.151978460680 0.398531980763 2 7 10 4 0132 1023 1230 1230 1 1 0 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 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 0.518843714995 1.078793961798 6 10 3 2 3120 2031 1023 0132 1 1 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.702545624532 0.212874276098 9 6 5 8 1302 0132 0132 3012 1 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 0 0 0 0 0 0 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 0.377632631595 0.577233054279 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0011_9']), 'c_1001_5' : negation(d['c_0101_8']), 'c_1001_4' : d['c_0011_10'], 'c_1001_7' : negation(d['c_0011_3']), 'c_1001_6' : negation(d['c_0101_8']), 'c_1001_1' : negation(d['c_0011_9']), 'c_1001_0' : d['c_0101_7'], 'c_1001_3' : d['c_0101_9'], 'c_1001_2' : d['c_0011_10'], 'c_1001_9' : d['c_0101_3'], 'c_1001_8' : d['c_0101_7'], 'c_1010_10' : negation(d['c_0101_8']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : negation(d['c_0011_9']), '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' : negation(d['c_0011_3']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_7']), 'c_1100_4' : d['c_0011_3'], 'c_1100_7' : negation(d['c_0101_9']), 'c_1100_6' : negation(d['c_0101_9']), 'c_1100_1' : negation(d['c_0101_9']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : negation(d['c_0011_3']), 'c_1100_10' : negation(d['c_0101_7']), 'c_1010_7' : negation(d['c_0011_9']), 'c_1010_6' : negation(d['c_0011_9']), 'c_1010_5' : negation(d['c_0011_9']), 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_0101_7'], 'c_1010_2' : d['c_0101_7'], 'c_1010_1' : negation(d['c_0101_8']), 'c_1010_0' : d['c_0011_10'], 'c_1010_9' : d['c_0011_10'], 'c_1010_8' : d['c_0101_1'], 'c_1100_8' : negation(d['c_0101_3']), '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_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : negation(d['c_0101_3']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_8'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_4'], 'c_0110_8' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : negation(d['c_0011_9']), 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0011_4']})} 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_9, c_0101_0, c_0101_1, c_0101_3, c_0101_7, c_0101_8, c_0101_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 1082512/215775*c_0101_9^7 + 1768484/71925*c_0101_9^6 + 733961/43155*c_0101_9^5 - 267034/2055*c_0101_9^4 - 11549267/30825*c_0101_9^3 - 25767646/71925*c_0101_9^2 - 8590742/71925*c_0101_9 - 1111786/215775, c_0011_0 - 1, c_0011_10 - 2943/3425*c_0101_9^7 - 12513/3425*c_0101_9^6 - 528/685*c_0101_9^5 + 14932/685*c_0101_9^4 + 170421/3425*c_0101_9^3 + 118957/3425*c_0101_9^2 + 39454/3425*c_0101_9 + 11749/3425, c_0011_3 - 293/1370*c_0101_9^7 - 993/1370*c_0101_9^6 + 61/137*c_0101_9^5 + 1405/274*c_0101_9^4 + 10931/1370*c_0101_9^3 + 721/685*c_0101_9^2 + 1029/1370*c_0101_9 + 372/685, c_0011_4 + 741/3425*c_0101_9^7 + 3381/3425*c_0101_9^6 + 311/685*c_0101_9^5 - 3694/685*c_0101_9^4 - 48052/3425*c_0101_9^3 - 43634/3425*c_0101_9^2 - 21773/3425*c_0101_9 - 5863/3425, c_0011_9 - 1504/3425*c_0101_9^7 - 5864/3425*c_0101_9^6 + 161/685*c_0101_9^5 + 7616/685*c_0101_9^4 + 73588/3425*c_0101_9^3 + 33121/3425*c_0101_9^2 + 3587/3425*c_0101_9 + 2947/3425, c_0101_0 - 1, c_0101_1 + 3247/3425*c_0101_9^7 + 14427/3425*c_0101_9^6 + 1042/685*c_0101_9^5 - 16588/685*c_0101_9^4 - 203659/3425*c_0101_9^3 - 159428/3425*c_0101_9^2 - 53041/3425*c_0101_9 - 11871/3425, c_0101_3 + 187/1370*c_0101_9^7 + 587/1370*c_0101_9^6 - 74/137*c_0101_9^5 - 979/274*c_0101_9^4 - 5209/1370*c_0101_9^3 + 2191/685*c_0101_9^2 + 3659/1370*c_0101_9 + 492/685, c_0101_7 + 1077/1370*c_0101_9^7 + 4487/1370*c_0101_9^6 + 61/137*c_0101_9^5 - 5445/274*c_0101_9^4 - 60309/1370*c_0101_9^3 - 19829/685*c_0101_9^2 - 11301/1370*c_0101_9 - 998/685, c_0101_8 - 802/685*c_0101_9^7 - 3382/685*c_0101_9^6 - 114/137*c_0101_9^5 + 4102/137*c_0101_9^4 + 45839/685*c_0101_9^3 + 29783/685*c_0101_9^2 + 6971/685*c_0101_9 + 1791/685, c_0101_9^8 + 5*c_0101_9^7 + 4*c_0101_9^6 - 25*c_0101_9^5 - 77*c_0101_9^4 - 82*c_0101_9^3 - 39*c_0101_9^2 - 10*c_0101_9 - 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB