Magma V2.19-8 Wed Aug 21 2013 00:56:58 on localhost [Seed = 2160499287] Type ? for help. Type -D to quit. Loading file "L13n3191__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n3191 geometric_solution 11.91846510 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 1 0 0 0 1 -1 -1 0 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 1 4 -5 -4 0 4 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 0.556421848511 1.031756182763 0 5 7 6 0132 0132 0132 0132 1 1 0 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 0 0 0 0 0 0 4 0 -4 0 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.103269651719 0.828322528485 6 0 9 8 0132 0132 0132 0132 1 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 -1 1 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 0.882410703334 0.978441484715 10 5 7 0 0132 1230 1302 0132 1 1 0 1 0 0 1 -1 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 0 4 -4 0 0 4 -4 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.797402392644 1.262027301743 10 7 0 9 3012 0132 0132 3120 1 1 1 1 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 0 0 0 0 0 5 -5 5 0 0 -5 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.266691451102 0.825168213633 11 1 3 9 0132 0132 3012 0321 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 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.634508430684 0.423783350040 2 12 1 8 0132 0132 0132 0213 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.460134010365 0.777891456250 3 4 11 1 2031 0132 1023 0132 1 1 1 1 0 0 0 0 -1 0 0 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 -4 0 0 4 -1 0 0 1 -4 -1 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.332028280993 0.925562026289 10 11 2 6 2103 1302 0132 0213 1 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 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 0.473887963984 0.987692834481 4 5 12 2 3120 0321 0321 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 1 0 -1 5 0 -5 0 1 -1 0 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.058619846522 0.989685145832 3 12 8 4 0132 1302 2103 1230 1 1 1 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 5 0 -5 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 0.328145097358 0.409864131831 5 12 7 8 0132 1023 1023 2031 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 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.047529275678 1.085498100753 11 6 9 10 1023 0132 0321 2031 1 1 0 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 5 -5 0 1 0 -1 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.656266139591 0.353905230589 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_12'], 'c_1001_10' : d['c_0011_8'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_0011_10'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : negation(d['c_0011_9']), 'c_1001_6' : d['c_0011_10'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : negation(d['c_0101_1']), 'c_1001_8' : d['c_0101_5'], 'c_1010_12' : d['c_0011_10'], 'c_1010_11' : d['c_0011_8'], 'c_1010_10' : d['c_0101_1'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : negation(d['1']), 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_9']), 'c_0101_10' : d['c_0101_0'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(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' : 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' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_1001_12'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : negation(d['c_0101_1']), 'c_1100_4' : d['c_0101_12'], 'c_1100_7' : d['c_1010_8'], 'c_1100_6' : d['c_1010_8'], 'c_1100_1' : d['c_1010_8'], 'c_1100_0' : d['c_0101_12'], 'c_1100_3' : d['c_0101_12'], 'c_1100_2' : d['c_1001_12'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_1010_8']), 'c_1100_10' : d['c_0101_2'], 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_1001_12'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0011_9']), 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : d['c_0011_10'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_1001_1'], 'c_1010_8' : d['c_1010_8'], 'c_1100_8' : d['c_1001_12'], 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_1']), 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(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_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), 'c_0011_6' : d['c_0011_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_5'], 'c_0110_10' : d['c_0011_4'], 'c_0110_12' : d['c_0011_8'], 'c_0101_12' : d['c_0101_12'], 'c_0011_11' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_12'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], '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' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_12']), 'c_0101_8' : d['c_0101_0'], 's_1_12' : negation(d['1']), 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : negation(d['c_0101_2']), '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_0'], 'c_0110_5' : negation(d['c_0011_9']), 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_2']})} 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_4, c_0011_8, c_0011_9, c_0101_0, c_0101_1, c_0101_12, c_0101_2, c_0101_5, c_1001_1, c_1001_12, c_1010_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 25791368/15713525*c_1010_8^8 + 190586229/15713525*c_1010_8^7 - 83313866/3142705*c_1010_8^6 + 422902376/15713525*c_1010_8^5 - 8320286/3142705*c_1010_8^4 - 237885324/15713525*c_1010_8^3 + 129234309/15713525*c_1010_8^2 + 57408171/15713525*c_1010_8 - 262732826/15713525, c_0011_0 - 1, c_0011_10 - 16849/36973*c_1010_8^8 + 130149/36973*c_1010_8^7 - 311082/36973*c_1010_8^6 + 351488/36973*c_1010_8^5 - 99906/36973*c_1010_8^4 - 162163/36973*c_1010_8^3 + 103182/36973*c_1010_8^2 + 3603/36973*c_1010_8 - 193435/36973, c_0011_4 + 2221/36973*c_1010_8^8 - 15350/36973*c_1010_8^7 + 31092/36973*c_1010_8^6 - 47118/36973*c_1010_8^5 + 67693/36973*c_1010_8^4 - 64977/36973*c_1010_8^3 - 6283/36973*c_1010_8^2 + 55554/36973*c_1010_8 + 12705/36973, c_0011_8 + 59668/36973*c_1010_8^8 - 446693/36973*c_1010_8^7 + 993861/36973*c_1010_8^6 - 994713/36973*c_1010_8^5 + 84729/36973*c_1010_8^4 + 619342/36973*c_1010_8^3 - 310611/36973*c_1010_8^2 - 122680/36973*c_1010_8 + 678260/36973, c_0011_9 - 8608/36973*c_1010_8^8 + 62722/36973*c_1010_8^7 - 124666/36973*c_1010_8^6 + 77391/36973*c_1010_8^5 + 63988/36973*c_1010_8^4 - 79725/36973*c_1010_8^3 - 35295/36973*c_1010_8^2 + 29898/36973*c_1010_8 - 47410/36973, c_0101_0 + 14215/36973*c_1010_8^8 - 107400/36973*c_1010_8^7 + 243195/36973*c_1010_8^6 - 242238/36973*c_1010_8^5 - 5212/36973*c_1010_8^4 + 194026/36973*c_1010_8^3 - 81897/36973*c_1010_8^2 - 44983/36973*c_1010_8 + 143209/36973, c_0101_1 - 1, c_0101_12 + 6147/36973*c_1010_8^8 - 43699/36973*c_1010_8^7 + 84188/36973*c_1010_8^6 - 57460/36973*c_1010_8^5 - 41794/36973*c_1010_8^4 + 67090/36973*c_1010_8^3 + 4102/36973*c_1010_8^2 - 4075/36973*c_1010_8 + 47815/36973, c_0101_2 + 1508/36973*c_1010_8^8 - 12603/36973*c_1010_8^7 + 38024/36973*c_1010_8^6 - 65186/36973*c_1010_8^5 + 40951/36973*c_1010_8^4 + 26732/36973*c_1010_8^3 - 38126/36973*c_1010_8^2 - 22659/36973*c_1010_8 + 47031/36973, c_0101_5 - 22996/36973*c_1010_8^8 + 173848/36973*c_1010_8^7 - 395270/36973*c_1010_8^6 + 408948/36973*c_1010_8^5 - 58112/36973*c_1010_8^4 - 229253/36973*c_1010_8^3 + 99080/36973*c_1010_8^2 + 44651/36973*c_1010_8 - 241250/36973, c_1001_1 + 22996/36973*c_1010_8^8 - 173848/36973*c_1010_8^7 + 395270/36973*c_1010_8^6 - 408948/36973*c_1010_8^5 + 58112/36973*c_1010_8^4 + 229253/36973*c_1010_8^3 - 99080/36973*c_1010_8^2 - 81624/36973*c_1010_8 + 278223/36973, c_1001_12 - 8781/36973*c_1010_8^8 + 66448/36973*c_1010_8^7 - 152075/36973*c_1010_8^6 + 166710/36973*c_1010_8^5 - 63324/36973*c_1010_8^4 - 35227/36973*c_1010_8^3 + 17183/36973*c_1010_8^2 - 332/36973*c_1010_8 - 61068/36973, c_1010_8^9 - 9*c_1010_8^8 + 28*c_1010_8^7 - 42*c_1010_8^6 + 27*c_1010_8^5 + 8*c_1010_8^4 - 21*c_1010_8^3 + 6*c_1010_8^2 + 14*c_1010_8 - 17 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.280 Total time: 0.490 seconds, Total memory usage: 32.09MB