Magma V2.19-8 Tue Aug 20 2013 16:14:17 on localhost [Seed = 71669796] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s255 geometric_solution 4.41670359 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 3 0132 0132 0132 3201 0 0 0 0 0 0 1 -1 0 0 0 0 0 1 0 -1 -1 0 1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.307052223654 0.579198810483 0 2 4 2 0132 2031 0132 3012 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 0 0 0 0 0.709851785554 0.845341730091 1 0 1 4 1302 0132 1230 0132 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 -1 0 1 0 0 0 0 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.709851785554 0.845341730091 3 0 3 0 2031 2310 1302 0132 0 0 0 0 0 1 0 -1 0 0 0 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 -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 -0.038548006411 1.768234356897 5 5 2 1 0132 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.540685424449 1.117567781658 4 5 5 4 0132 3201 2310 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -0.689450783457 0.223723659387 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], '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_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_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_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0101_0'], 'c_1100_1' : d['c_0101_0'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0101_0'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], '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_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_1' : negation(d['c_0101_4']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : negation(d['c_0101_0']), '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_4'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_1'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 3352/397*c_0101_4^13 - 23335/397*c_0101_4^12 - 51337/397*c_0101_4^11 - 12171/397*c_0101_4^10 + 111356/397*c_0101_4^9 + 192062/397*c_0101_4^8 + 172047/397*c_0101_4^7 + 83826/397*c_0101_4^6 - 24531/397*c_0101_4^5 - 100100/397*c_0101_4^4 - 137507/397*c_0101_4^3 - 102241/397*c_0101_4^2 - 48522/397*c_0101_4 - 12707/397, c_0011_0 - 1, c_0011_3 + 489/1985*c_0101_4^13 + 626/397*c_0101_4^12 + 1139/397*c_0101_4^11 - 404/397*c_0101_4^10 - 17787/1985*c_0101_4^9 - 22169/1985*c_0101_4^8 - 11066/1985*c_0101_4^7 + 7846/1985*c_0101_4^6 + 18372/1985*c_0101_4^5 + 13022/1985*c_0101_4^4 + 8097/1985*c_0101_4^3 + 977/1985*c_0101_4^2 - 229/397*c_0101_4 - 1812/1985, c_0011_4 + 1323/1985*c_0101_4^13 + 1813/397*c_0101_4^12 + 3671/397*c_0101_4^11 - 735/397*c_0101_4^10 - 58109/1985*c_0101_4^9 - 72388/1985*c_0101_4^8 - 22937/1985*c_0101_4^7 + 32212/1985*c_0101_4^6 + 48074/1985*c_0101_4^5 + 30214/1985*c_0101_4^4 + 13309/1985*c_0101_4^3 + 159/1985*c_0101_4^2 - 1019/397*c_0101_4 - 2479/1985, c_0101_0 - 902/1985*c_0101_4^13 - 942/397*c_0101_4^12 - 802/397*c_0101_4^11 + 2839/397*c_0101_4^10 + 24626/1985*c_0101_4^9 + 1842/1985*c_0101_4^8 - 16422/1985*c_0101_4^7 - 17513/1985*c_0101_4^6 - 8656/1985*c_0101_4^5 + 2889/1985*c_0101_4^4 + 2284/1985*c_0101_4^3 + 5464/1985*c_0101_4^2 + 148/397*c_0101_4 - 859/1985, c_0101_1 + 702/1985*c_0101_4^13 + 962/397*c_0101_4^12 + 2037/397*c_0101_4^11 + 7/397*c_0101_4^10 - 29456/1985*c_0101_4^9 - 42542/1985*c_0101_4^8 - 19503/1985*c_0101_4^7 + 10813/1985*c_0101_4^6 + 24901/1985*c_0101_4^5 + 22311/1985*c_0101_4^4 + 11356/1985*c_0101_4^3 + 2596/1985*c_0101_4^2 - 565/397*c_0101_4 - 1761/1985, c_0101_4^14 + 7*c_0101_4^13 + 15*c_0101_4^12 - 43*c_0101_4^10 - 62*c_0101_4^9 - 31*c_0101_4^8 + 16*c_0101_4^7 + 41*c_0101_4^6 + 34*c_0101_4^5 + 19*c_0101_4^4 + 4*c_0101_4^3 - 4*c_0101_4^2 - 3*c_0101_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB