Magma V2.19-8 Tue Aug 20 2013 16:15:51 on localhost [Seed = 4088557529] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0080 geometric_solution 3.62686672 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 1 1 0 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 -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 2.420849205588 0.094348276425 2 0 0 2 0132 0132 1023 3201 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 1 0 -1 1 0 -1 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 -0.924994026940 0.245565774819 1 1 3 3 0132 2310 0132 3201 0 0 0 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 1 0 -1 -1 0 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 0.289776438485 0.127231691632 4 2 5 2 0132 2310 0132 0132 0 0 0 0 0 0 0 0 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 0 0 0 1 0 0 -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 0.496262888927 0.635914326019 3 5 6 5 0132 3201 0132 2310 0 0 0 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 -1 0 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 -0.970035184231 1.978703743959 4 6 4 3 3201 1023 2310 0132 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.970035184231 1.978703743959 5 6 6 4 1023 3201 2310 0132 0 0 0 0 0 -1 1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.199750389277 0.407456192873 ==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_2_6' : d['1'], 's_1_6' : 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_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_5'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0101_2'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_5'], '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_0'], 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_2'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0101_0']})} 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_5, c_0101_0, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 58501336/2035087*c_0101_3^13 - 33290629/119711*c_0101_3^12 - 149861299/2035087*c_0101_3^11 + 6336028341/2035087*c_0101_3^10 - 867149557/2035087*c_0101_3^9 - 21041308128/2035087*c_0101_3^8 + 2762713179/2035087*c_0101_3^7 + 29908622018/2035087*c_0101_3^6 - 1716170799/2035087*c_0101_3^5 - 19487811503/2035087*c_0101_3^4 - 515028696/2035087*c_0101_3^3 + 5494648105/2035087*c_0101_3^2 + 254776751/2035087*c_0101_3 - 559808706/2035087, c_0011_0 - 1, c_0011_3 + 6673096/2035087*c_0101_3^13 - 3801617/119711*c_0101_3^12 - 15994340/2035087*c_0101_3^11 + 719792928/2035087*c_0101_3^10 - 115674264/2035087*c_0101_3^9 - 2351960583/2035087*c_0101_3^8 + 412609770/2035087*c_0101_3^7 + 3201695186/2035087*c_0101_3^6 - 414177740/2035087*c_0101_3^5 - 1859306917/2035087*c_0101_3^4 + 136158123/2035087*c_0101_3^3 + 371719338/2035087*c_0101_3^2 - 23122759/2035087*c_0101_3 - 9093927/2035087, c_0011_5 + 6673096/2035087*c_0101_3^13 - 3801617/119711*c_0101_3^12 - 15994340/2035087*c_0101_3^11 + 719792928/2035087*c_0101_3^10 - 115674264/2035087*c_0101_3^9 - 2351960583/2035087*c_0101_3^8 + 412609770/2035087*c_0101_3^7 + 3201695186/2035087*c_0101_3^6 - 414177740/2035087*c_0101_3^5 - 1859306917/2035087*c_0101_3^4 + 136158123/2035087*c_0101_3^3 + 371719338/2035087*c_0101_3^2 - 23122759/2035087*c_0101_3 - 9093927/2035087, c_0101_0 + 7177669/2035087*c_0101_3^13 - 4023598/119711*c_0101_3^12 - 27151268/2035087*c_0101_3^11 + 12966288/34493*c_0101_3^10 - 19250368/2035087*c_0101_3^9 - 2477811088/2035087*c_0101_3^8 + 176033677/2035087*c_0101_3^7 + 3352608644/2035087*c_0101_3^6 - 204703436/2035087*c_0101_3^5 - 1961051875/2035087*c_0101_3^4 + 71265240/2035087*c_0101_3^3 + 409496200/2035087*c_0101_3^2 - 15089185/2035087*c_0101_3 - 12056984/2035087, c_0101_1 - 3567577/2035087*c_0101_3^13 + 2034046/119711*c_0101_3^12 + 8680833/2035087*c_0101_3^11 - 388684613/2035087*c_0101_3^10 + 63714262/2035087*c_0101_3^9 + 1297396212/2035087*c_0101_3^8 - 235542404/2035087*c_0101_3^7 - 1824740841/2035087*c_0101_3^6 + 262109141/2035087*c_0101_3^5 + 1109320838/2035087*c_0101_3^4 - 115081752/2035087*c_0101_3^3 - 235722583/2035087*c_0101_3^2 + 25427637/2035087*c_0101_3 + 6225826/2035087, c_0101_2 + 985319/2035087*c_0101_3^13 - 536023/119711*c_0101_3^12 - 6061392/2035087*c_0101_3^11 + 101240143/2035087*c_0101_3^10 + 24091762/2035087*c_0101_3^9 - 312966574/2035087*c_0101_3^8 - 50855601/2035087*c_0101_3^7 + 401629370/2035087*c_0101_3^6 + 41198029/2035087*c_0101_3^5 - 225462770/2035087*c_0101_3^4 - 110999/2035087*c_0101_3^3 + 46844785/2035087*c_0101_3^2 - 8402908/2035087*c_0101_3 - 1192059/2035087, c_0101_3^14 - 9*c_0101_3^13 - 9*c_0101_3^12 + 106*c_0101_3^11 + 56*c_0101_3^10 - 362*c_0101_3^9 - 175*c_0101_3^8 + 518*c_0101_3^7 + 256*c_0101_3^6 - 321*c_0101_3^5 - 163*c_0101_3^4 + 72*c_0101_3^3 + 34*c_0101_3^2 - 4*c_0101_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB