Magma V2.19-8 Tue Aug 20 2013 16:16:16 on localhost [Seed = 4189611291] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0531 geometric_solution 4.54954956 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 2310 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2.110144575181 0.648944559564 0 1 1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.665551654770 0.100028703244 0 3 4 0 3201 0132 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 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 0.902607147005 0.797345577721 5 2 4 4 0132 0132 1302 3201 0 0 0 0 0 0 0 0 -1 0 0 1 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 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.274291428577 0.567648804338 3 3 5 2 2031 2310 2310 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 0 0 0 0 0 0 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.274291428577 0.567648804338 3 4 6 6 0132 3201 2310 0132 0 0 0 0 0 0 0 0 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 -1 1 0 -1 0 1 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 -0.521370866121 0.587808071506 6 5 5 6 3201 3201 0132 2310 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 -1 0 0 1 0 -1 0 1 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.462705251407 1.028898529778 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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_6'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_2'], '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' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : d['c_0101_5'], 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_5']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_6' : d['c_0011_4'], 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(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_2, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 1060224/103979*c_0101_5^14 + 2306600/103979*c_0101_5^13 + 7681238/103979*c_0101_5^12 + 14146890/103979*c_0101_5^11 + 56106759/103979*c_0101_5^10 + 23563908/103979*c_0101_5^9 + 67423730/103979*c_0101_5^8 + 6919926/103979*c_0101_5^7 - 77083873/103979*c_0101_5^6 - 9939105/103979*c_0101_5^5 - 110412982/103979*c_0101_5^4 - 13076694/103979*c_0101_5^3 + 61736742/103979*c_0101_5^2 - 10050182/103979*c_0101_5 + 9092664/103979, c_0011_0 - 1, c_0011_2 - 1093278/103979*c_0101_5^14 - 3215392/103979*c_0101_5^13 - 6812565/103979*c_0101_5^12 - 15698245/103979*c_0101_5^11 - 12611992/103979*c_0101_5^10 - 17182218/103979*c_0101_5^9 - 3006077/103979*c_0101_5^8 + 18284855/103979*c_0101_5^7 + 12420938/103979*c_0101_5^6 + 27358992/103979*c_0101_5^5 + 8327730/103979*c_0101_5^4 - 11676396/103979*c_0101_5^3 - 1995029/103979*c_0101_5^2 - 2902089/103979*c_0101_5 - 525444/103979, c_0011_4 - 879992/103979*c_0101_5^14 - 2642916/103979*c_0101_5^13 - 5638790/103979*c_0101_5^12 - 12923106/103979*c_0101_5^11 - 10828213/103979*c_0101_5^10 - 14352787/103979*c_0101_5^9 - 3120066/103979*c_0101_5^8 + 14400136/103979*c_0101_5^7 + 10530843/103979*c_0101_5^6 + 22311949/103979*c_0101_5^5 + 7554866/103979*c_0101_5^4 - 8979148/103979*c_0101_5^3 - 1683334/103979*c_0101_5^2 - 2288257/103979*c_0101_5 - 494161/103979, c_0011_6 - 943116/103979*c_0101_5^14 - 2784152/103979*c_0101_5^13 - 5947920/103979*c_0101_5^12 - 13708468/103979*c_0101_5^11 - 11158649/103979*c_0101_5^10 - 15269290/103979*c_0101_5^9 - 2865487/103979*c_0101_5^8 + 15684324/103979*c_0101_5^7 + 10846579/103979*c_0101_5^6 + 24174041/103979*c_0101_5^5 + 7527885/103979*c_0101_5^4 - 10126048/103979*c_0101_5^3 - 1683121/103979*c_0101_5^2 - 2605964/103979*c_0101_5 - 483455/103979, c_0101_0 + 897920/103979*c_0101_5^14 + 2647014/103979*c_0101_5^13 + 5691982/103979*c_0101_5^12 + 13044881/103979*c_0101_5^11 + 10553710/103979*c_0101_5^10 + 14654437/103979*c_0101_5^9 + 2234880/103979*c_0101_5^8 - 14619043/103979*c_0101_5^7 - 10498859/103979*c_0101_5^6 - 23089299/103979*c_0101_5^5 - 6378482/103979*c_0101_5^4 + 9228049/103979*c_0101_5^3 + 1662848/103979*c_0101_5^2 + 2369687/103979*c_0101_5 + 367579/103979, c_0101_1 - 2135604/103979*c_0101_5^14 - 6325598/103979*c_0101_5^13 - 13537708/103979*c_0101_5^12 - 31105801/103979*c_0101_5^11 - 25449994/103979*c_0101_5^10 - 34773258/103979*c_0101_5^9 - 6424501/103979*c_0101_5^8 + 35020527/103979*c_0101_5^7 + 24836174/103979*c_0101_5^6 + 54754786/103979*c_0101_5^5 + 16887766/103979*c_0101_5^4 - 22006082/103979*c_0101_5^3 - 3685119/103979*c_0101_5^2 - 5704430/103979*c_0101_5 - 1198087/103979, c_0101_5^15 + 2*c_0101_5^14 + 7/2*c_0101_5^13 + 17/2*c_0101_5^12 - 2*c_0101_5^11 + 5*c_0101_5^10 - 25/2*c_0101_5^9 - 19*c_0101_5^8 + 4*c_0101_5^7 - 29/2*c_0101_5^6 + 33/2*c_0101_5^5 + 35/2*c_0101_5^4 - 8*c_0101_5^3 + c_0101_5^2 - 2*c_0101_5 - 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB