Magma V2.19-8 Tue Aug 20 2013 16:16:13 on localhost [Seed = 3280101122] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0474 geometric_solution 4.50184212 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 3201 0132 0132 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 -1 0 -1 2 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.430513915156 1.681316156532 0 3 0 2 0132 1302 2310 1302 0 0 0 0 0 0 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 0 -1 1 1 0 -1 0 1 -1 0 0 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.706452504914 0.345013173915 4 4 1 0 0132 3201 2031 0132 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 0 -0.242785446097 0.435028097807 5 5 0 1 0132 2310 0132 2031 0 0 0 0 0 0 0 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 0 -1 1 2 0 -2 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 -0.322886028893 0.255744370140 2 4 2 4 0132 1302 2310 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.138407523843 2.153111185692 3 6 6 3 0132 0132 1023 3201 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 -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 0 0 0 -0.028359985181 0.961931089199 6 5 5 6 3012 0132 1023 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.116657118790 0.465081297750 ==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' : negation(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_2_6' : 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' : d['1'], 's_1_0' : d['1'], 's_0_6' : 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_6' : d['c_0011_3'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_1010_1']), 'c_1100_3' : negation(d['c_1010_1']), 'c_1100_2' : negation(d['c_1010_1']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : negation(d['c_0011_2']), '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' : d['c_0011_2'], 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : d['c_0011_0'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_0'], 'c_0110_4' : d['c_0011_0'], 'c_0110_6' : d['c_0011_3'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0011_2']), 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : negation(d['c_0011_0']), 'c_1010_1' : d['c_1010_1'], 'c_1010_0' : negation(d['c_0101_5'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_3, c_0101_0, c_0101_5, c_0101_6, c_1010_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 17809586804/329793062791*c_1010_1^8 - 72624686085/1319172251164*c_1010_1^7 - 565899136955/1319172251164*c_1010_1^6 + 118736228245/329793062791*c_1010_1^5 + 14156356108/11372174579*c_1010_1^4 + 8523948766995/1319172251164*c_1010_1^3 + 21613048279405/1319172251164*c_1010_1^2 + 455936182257/45488698316*c_1010_1 + 2064691544249/45488698316, c_0011_0 - 1, c_0011_2 - 1167735/494442373*c_1010_1^8 - 2290301/988884746*c_1010_1^7 - 10392716/494442373*c_1010_1^6 + 3206364/494442373*c_1010_1^5 + 2280849/34099474*c_1010_1^4 + 293241665/988884746*c_1010_1^3 + 889740021/988884746*c_1010_1^2 + 16021320/17049737*c_1010_1 + 19066258/17049737, c_0011_3 - 4422503/1977769492*c_1010_1^8 - 3203936/494442373*c_1010_1^7 - 10606764/494442373*c_1010_1^6 - 4089161/988884746*c_1010_1^5 + 6454707/68198948*c_1010_1^4 + 207226162/494442373*c_1010_1^3 + 2225489761/1977769492*c_1010_1^2 + 26310457/17049737*c_1010_1 + 29486178/17049737, c_0101_0 - 1378207/1977769492*c_1010_1^8 + 966461/1977769492*c_1010_1^7 + 3103829/1977769492*c_1010_1^6 + 30077939/988884746*c_1010_1^5 - 417563/68198948*c_1010_1^4 + 108022031/1977769492*c_1010_1^3 - 112958969/494442373*c_1010_1^2 - 39666857/68198948*c_1010_1 + 9250975/68198948, c_0101_5 + 1983241/1977769492*c_1010_1^8 + 542483/494442373*c_1010_1^7 + 1892209/1977769492*c_1010_1^6 - 12344063/494442373*c_1010_1^5 - 2112745/68198948*c_1010_1^4 - 27186389/988884746*c_1010_1^3 + 203659845/988884746*c_1010_1^2 + 20149503/34099474*c_1010_1 + 19890147/68198948, c_0101_6 - 1115839/988884746*c_1010_1^8 + 3032605/988884746*c_1010_1^7 - 1036017/1977769492*c_1010_1^6 + 35190015/988884746*c_1010_1^5 + 54934/17049737*c_1010_1^4 - 47012135/494442373*c_1010_1^3 - 853329409/1977769492*c_1010_1^2 - 40727777/34099474*c_1010_1 + 6629121/68198948, c_1010_1^9 + 2*c_1010_1^8 + 9*c_1010_1^7 + c_1010_1^6 - 29*c_1010_1^5 - 144*c_1010_1^4 - 418*c_1010_1^3 - 493*c_1010_1^2 - 1015*c_1010_1 - 841 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB