Magma V2.19-8 Tue Aug 20 2013 17:55:32 on localhost [Seed = 3667619082] Type ? for help. Type -D to quit. Loading file "8_13__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 8_13 geometric_solution 8.53123220 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 9 1 2 2 3 0132 0132 2031 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 0 -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 0.355004169296 0.515177573048 0 3 5 4 0132 2103 0132 0132 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 3 -3 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 0.819963509157 0.907942100930 3 0 6 0 3012 0132 0132 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.946536176133 0.756026918018 6 1 0 2 1023 2103 0132 1230 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 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.324354031960 1.431213656069 7 6 1 8 0132 2031 0132 0132 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 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.464125158400 1.029899118185 6 8 7 1 2031 0132 0132 0132 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 -3 3 -1 0 1 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 0.464125158400 1.029899118185 4 3 5 2 1302 1023 1302 0132 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 -1 1 2 -3 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.452152035283 0.606629717690 4 8 8 5 0132 1023 0132 0132 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 -2 3 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 -0.004209728700 0.800326649288 7 5 4 7 1023 0132 0132 0132 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 -2 2 1 0 0 -1 0 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.004209728700 0.800326649288 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0101_7'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_7' : d['c_0101_7'], 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : negation(d['c_0110_2']), 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_8' : d['c_0011_3'], 's_2_8' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_0_8' : 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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_8' : d['c_1100_1'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : d['c_1100_1'], 'c_1100_6' : d['c_0101_0'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_0110_2'], 'c_1100_3' : d['c_0110_2'], 'c_1100_2' : d['c_0101_0'], 'c_1010_7' : d['c_0101_7'], 'c_1010_6' : negation(d['c_0011_0']), 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : negation(d['c_0110_2']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_8' : d['c_0101_7'], 's_3_1' : 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' : d['1'], 's_3_7' : d['1'], 's_3_6' : negation(d['1']), 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), 'c_0011_6' : d['c_0011_3'], '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_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_8' : d['c_0101_7'], 'c_0110_8' : d['c_0101_7'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_7'], 'c_0110_7' : d['c_0101_0'], 'c_0110_6' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 10 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_7, c_0110_2, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 488/261*c_1100_1^13 + 1381/261*c_1100_1^12 + 2420/261*c_1100_1^11 + 2422/261*c_1100_1^10 - 1745/261*c_1100_1^9 - 3802/261*c_1100_1^8 - 2560/261*c_1100_1^7 - 718/29*c_1100_1^6 - 2104/87*c_1100_1^5 - 14062/261*c_1100_1^4 - 7879/261*c_1100_1^3 - 936/29*c_1100_1^2 - 1778/261*c_1100_1 - 820/261, c_0011_0 - 1, c_0011_3 - 104/261*c_1100_1^13 - 113/87*c_1100_1^12 - 617/261*c_1100_1^11 - 703/261*c_1100_1^10 + 11/29*c_1100_1^9 + 217/87*c_1100_1^8 - 4/261*c_1100_1^7 + 481/261*c_1100_1^6 + 962/261*c_1100_1^5 + 237/29*c_1100_1^4 + 1382/261*c_1100_1^3 + 718/261*c_1100_1^2 + 184/261*c_1100_1 - 4/261, c_0011_4 + c_1100_1, c_0101_0 - 104/261*c_1100_1^13 - 113/87*c_1100_1^12 - 617/261*c_1100_1^11 - 703/261*c_1100_1^10 + 11/29*c_1100_1^9 + 217/87*c_1100_1^8 - 4/261*c_1100_1^7 + 481/261*c_1100_1^6 + 962/261*c_1100_1^5 + 237/29*c_1100_1^4 + 1382/261*c_1100_1^3 + 718/261*c_1100_1^2 + 184/261*c_1100_1 - 4/261, c_0101_1 - 4/29*c_1100_1^13 - 38/87*c_1100_1^12 - 50/87*c_1100_1^11 + 7/87*c_1100_1^10 + 220/87*c_1100_1^9 + 422/87*c_1100_1^8 + 127/29*c_1100_1^7 + 389/87*c_1100_1^6 + 575/87*c_1100_1^5 + 275/29*c_1100_1^4 + 590/87*c_1100_1^3 + 99/29*c_1100_1^2 + 106/87*c_1100_1 + 4/87, c_0101_2 + 4/29*c_1100_1^13 + 38/87*c_1100_1^12 + 50/87*c_1100_1^11 - 7/87*c_1100_1^10 - 220/87*c_1100_1^9 - 422/87*c_1100_1^8 - 127/29*c_1100_1^7 - 389/87*c_1100_1^6 - 575/87*c_1100_1^5 - 275/29*c_1100_1^4 - 590/87*c_1100_1^3 - 99/29*c_1100_1^2 - 106/87*c_1100_1 - 4/87, c_0101_7 + 26/261*c_1100_1^13 + 208/261*c_1100_1^12 + 698/261*c_1100_1^11 + 175/29*c_1100_1^10 + 2549/261*c_1100_1^9 + 2933/261*c_1100_1^8 + 1054/87*c_1100_1^7 + 416/29*c_1100_1^6 + 3892/261*c_1100_1^5 + 1207/87*c_1100_1^4 + 1873/261*c_1100_1^3 + 850/261*c_1100_1^2 + 62/87*c_1100_1 + 88/261, c_0110_2 - 190/261*c_1100_1^13 - 265/87*c_1100_1^12 - 1913/261*c_1100_1^11 - 3287/261*c_1100_1^10 - 3467/261*c_1100_1^9 - 3101/261*c_1100_1^8 - 4132/261*c_1100_1^7 - 459/29*c_1100_1^6 - 1159/87*c_1100_1^5 - 368/87*c_1100_1^4 - 122/261*c_1100_1^3 + 686/261*c_1100_1^2 + 118/87*c_1100_1 + 34/87, c_1100_1^14 + 5*c_1100_1^13 + 14*c_1100_1^12 + 28*c_1100_1^11 + 39*c_1100_1^10 + 44*c_1100_1^9 + 52*c_1100_1^8 + 58*c_1100_1^7 + 59*c_1100_1^6 + 46*c_1100_1^5 + 29*c_1100_1^4 + 14*c_1100_1^3 + 5*c_1100_1^2 + 2*c_1100_1 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB