Magma V2.19-8 Tue Aug 20 2013 16:17:40 on localhost [Seed = 2648441212] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1898 geometric_solution 5.51172803 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.896656118609 1.072351193561 0 4 5 3 0132 1302 0132 1302 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 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.719337245648 0.795658925850 4 0 6 6 1302 0132 2310 0132 0 0 0 0 0 1 -1 0 0 0 -1 1 -1 0 0 1 1 0 -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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.031241816011 0.826632336422 3 3 1 0 1230 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.108596669949 0.180498242592 5 2 0 1 2310 2031 0132 2031 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 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 0.320905068496 1.810060409657 6 6 4 1 3120 2031 3201 0132 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.344841881777 0.630864758773 5 2 2 5 1302 3201 0132 3120 0 0 0 0 0 1 0 -1 1 0 -1 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 -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 0.791997455660 0.762630073438 ==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' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(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' : 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' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_6'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_1010_1']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(d['c_1010_1']), 'c_1100_3' : negation(d['c_1010_1']), 'c_1100_2' : d['c_0011_6'], 'c_0101_6' : negation(d['c_0011_5']), 'c_0101_5' : negation(d['c_0011_6']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : negation(d['c_0011_4']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_3'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], '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' : d['c_0011_5'], 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : d['c_0011_6'], 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_0011_5'], 'c_0110_1' : d['c_0011_3'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : negation(d['c_0011_5']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_6'], 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : d['c_1010_1'], 'c_1010_0' : d['c_0011_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_3, c_0011_4, c_0011_5, c_0011_6, c_0101_1, c_1010_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 4642143/101179*c_1010_1^5 + 10104192/101179*c_1010_1^4 + 7529221/101179*c_1010_1^3 + 10771931/101179*c_1010_1^2 + 2785491/101179*c_1010_1 + 2233447/101179, c_0011_0 - 1, c_0011_3 - 20869/7783*c_1010_1^5 + 23096/7783*c_1010_1^4 - 38075/7783*c_1010_1^3 + 17621/7783*c_1010_1^2 - 17318/7783*c_1010_1 + 230/7783, c_0011_4 - 22468/7783*c_1010_1^5 - 25915/7783*c_1010_1^4 - 30457/7783*c_1010_1^3 - 19057/7783*c_1010_1^2 - 8079/7783*c_1010_1 - 1205/7783, c_0011_5 - 158547/7783*c_1010_1^5 + 555/7783*c_1010_1^4 - 217521/7783*c_1010_1^3 + 31423/7783*c_1010_1^2 - 81339/7783*c_1010_1 + 15769/7783, c_0011_6 + 43337/7783*c_1010_1^5 + 2819/7783*c_1010_1^4 + 68532/7783*c_1010_1^3 + 1436/7783*c_1010_1^2 + 33180/7783*c_1010_1 + 975/7783, c_0101_1 - 136079/7783*c_1010_1^5 + 26470/7783*c_1010_1^4 - 187064/7783*c_1010_1^3 + 50480/7783*c_1010_1^2 - 73260/7783*c_1010_1 + 16974/7783, c_1010_1^6 - 8/41*c_1010_1^5 + 63/41*c_1010_1^4 - 19/41*c_1010_1^3 + 28/41*c_1010_1^2 - 9/41*c_1010_1 + 1/41 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_5, c_0011_6, c_0101_1, c_1010_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 14725948919/72202333688*c_1010_1^11 + 322765649/1951414424*c_1010_1^10 + 28163211629/72202333688*c_1010_1^9 - 210864669595/72202333688*c_1010_1^8 - 337465740297/72202333688*c_1010_1^7 - 1157593577035/72202333688*c_1010_1^6 - 502063665893/18050583422*c_1010_1^5 - 1866276025077/72202333688*c_1010_1^4 - 3169945521611/72202333688*c_1010_1^3 - 694530655969/36101166844*c_1010_1^2 - 223498467978/9025291711*c_1010_1 - 279532985619/36101166844, c_0011_0 - 1, c_0011_3 + 23443553/975707212*c_1010_1^11 - 41484687/975707212*c_1010_1^10 - 18739949/975707212*c_1010_1^9 + 327160975/975707212*c_1010_1^8 + 339167549/975707212*c_1010_1^7 + 1321593119/975707212*c_1010_1^6 + 549662291/487853606*c_1010_1^5 + 406500153/975707212*c_1010_1^4 + 1481548513/975707212*c_1010_1^3 - 282800156/243926803*c_1010_1^2 + 478789159/487853606*c_1010_1 - 432260141/487853606, c_0011_4 + 7602627/975707212*c_1010_1^11 - 5803855/975707212*c_1010_1^10 - 40907487/975707212*c_1010_1^9 + 164387275/975707212*c_1010_1^8 + 132115851/975707212*c_1010_1^7 + 404361307/975707212*c_1010_1^6 + 302794223/487853606*c_1010_1^5 - 739328753/975707212*c_1010_1^4 + 1108161641/975707212*c_1010_1^3 - 388887568/243926803*c_1010_1^2 + 242748447/487853606*c_1010_1 - 408421225/487853606, c_0011_5 + 36121497/975707212*c_1010_1^11 + 11248511/975707212*c_1010_1^10 - 118407665/975707212*c_1010_1^9 + 421399449/975707212*c_1010_1^8 + 1474583757/975707212*c_1010_1^7 + 3671161101/975707212*c_1010_1^6 + 3533129117/487853606*c_1010_1^5 + 8205024413/975707212*c_1010_1^4 + 9624924971/975707212*c_1010_1^3 + 1859143677/243926803*c_1010_1^2 + 2338469697/487853606*c_1010_1 + 871961099/487853606, c_0011_6 + 4789175/243926803*c_1010_1^11 + 9733940/243926803*c_1010_1^10 - 33262960/243926803*c_1010_1^9 + 53626496/243926803*c_1010_1^8 + 326456304/243926803*c_1010_1^7 + 558399521/243926803*c_1010_1^6 + 1276589928/243926803*c_1010_1^5 + 1513398231/243926803*c_1010_1^4 + 1656392370/243926803*c_1010_1^3 + 1671502038/243926803*c_1010_1^2 + 850129892/243926803*c_1010_1 + 569496737/243926803, c_0101_1 - 36121497/975707212*c_1010_1^11 - 11248511/975707212*c_1010_1^10 + 118407665/975707212*c_1010_1^9 - 421399449/975707212*c_1010_1^8 - 1474583757/975707212*c_1010_1^7 - 3671161101/975707212*c_1010_1^6 - 3533129117/487853606*c_1010_1^5 - 8205024413/975707212*c_1010_1^4 - 9624924971/975707212*c_1010_1^3 - 1859143677/243926803*c_1010_1^2 - 2338469697/487853606*c_1010_1 - 871961099/487853606, c_1010_1^12 - 2*c_1010_1^10 + 12*c_1010_1^9 + 34*c_1010_1^8 + 106*c_1010_1^7 + 207*c_1010_1^6 + 279*c_1010_1^5 + 388*c_1010_1^4 + 319*c_1010_1^3 + 306*c_1010_1^2 + 140*c_1010_1 + 74 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB