Magma V2.19-8 Tue Aug 20 2013 16:18:20 on localhost [Seed = 1865347648] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2542 geometric_solution 5.85238541 oriented_manifold CS_known 0.0000000000000006 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 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 1.034647722950 0.958359827387 0 5 5 6 0132 0132 3201 0132 0 0 0 0 0 0 1 -1 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 -1 1 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 0.346268187159 0.231756603085 2 0 2 6 2031 0132 1302 1023 0 0 0 0 0 1 -1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.764137793151 0.850864716013 6 3 3 0 0132 1230 3012 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 1.096023620794 0.717256898120 4 6 0 4 3201 0132 0132 2310 0 0 0 0 0 1 -1 0 -1 0 0 1 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 -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 0.133922114133 0.715880763393 1 1 5 5 2310 0132 1230 3012 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 1.578851681598 1.153063245815 3 4 1 2 0132 0132 0132 1023 0 0 0 0 0 -1 1 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 1 -1 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 1.034647722950 0.958359827387 ==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' : negation(d['c_0011_0']), 'c_1100_5' : negation(d['c_0101_1']), 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : negation(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_1001_5' : d['c_0101_1'], 'c_1001_4' : d['c_0110_2'], 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : negation(d['c_0101_5']), 'c_1001_0' : d['c_0101_3'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_0110_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0110_2'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0110_2']})} 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_0101_0, c_0101_1, c_0101_3, c_0101_5, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 105924657215/234420263*c_0110_2^17 + 265018811385/234420263*c_0110_2^16 - 925948054034/234420263*c_0110_2^15 - 2900416309548/234420263*c_0110_2^14 + 214100584266/21310933*c_0110_2^13 + 12403571904078/234420263*c_0110_2^12 + 1147468937070/234420263*c_0110_2^11 - 25984887979192/234420263*c_0110_2^10 - 15690672999135/234420263*c_0110_2^9 + 26182232847310/234420263*c_0110_2^8 + 28052064054614/234420263*c_0110_2^7 - 8332368127905/234420263*c_0110_2^6 - 19820120364747/234420263*c_0110_2^5 - 2756865668272/234420263*c_0110_2^4 + 5692857204872/234420263*c_0110_2^3 + 1692447718870/234420263*c_0110_2^2 - 1050969746311/234420263*c_0110_2 - 208456709679/234420263, c_0011_0 - 1, c_0011_3 - 336433/683441*c_0110_2^17 - 741828/683441*c_0110_2^16 + 3136456/683441*c_0110_2^15 + 8234337/683441*c_0110_2^14 - 9721388/683441*c_0110_2^13 - 36116572/683441*c_0110_2^12 + 585345/62131*c_0110_2^11 + 79411848/683441*c_0110_2^10 + 27543685/683441*c_0110_2^9 - 89540058/683441*c_0110_2^8 - 65021929/683441*c_0110_2^7 + 43820644/683441*c_0110_2^6 + 53892474/683441*c_0110_2^5 - 4658112/683441*c_0110_2^4 - 19576059/683441*c_0110_2^3 - 2148269/683441*c_0110_2^2 + 4307139/683441*c_0110_2 - 30595/683441, c_0101_0 - 356530/683441*c_0110_2^17 - 807138/683441*c_0110_2^16 + 3371303/683441*c_0110_2^15 + 9091994/683441*c_0110_2^14 - 10670058/683441*c_0110_2^13 - 40684867/683441*c_0110_2^12 + 7538485/683441*c_0110_2^11 + 92017781/683441*c_0110_2^10 + 30307029/683441*c_0110_2^9 - 108095518/683441*c_0110_2^8 - 75078845/683441*c_0110_2^7 + 56172254/683441*c_0110_2^6 + 64984967/683441*c_0110_2^5 - 4540731/683441*c_0110_2^4 - 23464635/683441*c_0110_2^3 - 5050744/683441*c_0110_2^2 + 3752201/683441*c_0110_2 + 508976/683441, c_0101_1 - 351127/683441*c_0110_2^17 - 73586/62131*c_0110_2^16 + 3188114/683441*c_0110_2^15 + 8886226/683441*c_0110_2^14 - 9231694/683441*c_0110_2^13 - 38261463/683441*c_0110_2^12 + 3088751/683441*c_0110_2^11 + 81558247/683441*c_0110_2^10 + 34862074/683441*c_0110_2^9 - 86842916/683441*c_0110_2^8 - 69999200/683441*c_0110_2^7 + 37213879/683441*c_0110_2^6 + 50302123/683441*c_0110_2^5 - 2400458/683441*c_0110_2^4 - 14701607/683441*c_0110_2^3 - 638938/683441*c_0110_2^2 + 3401276/683441*c_0110_2 - 279933/683441, c_0101_3 - c_0110_2^2 + 1, c_0101_5 + 12966/62131*c_0110_2^17 + 204261/683441*c_0110_2^16 - 1685759/683441*c_0110_2^15 - 2626839/683441*c_0110_2^14 + 7916555/683441*c_0110_2^13 + 13876834/683441*c_0110_2^12 - 18452132/683441*c_0110_2^11 - 38828683/683441*c_0110_2^10 + 20000401/683441*c_0110_2^9 + 5594803/62131*c_0110_2^8 - 2598258/683441*c_0110_2^7 - 53511657/683441*c_0110_2^6 - 13937722/683441*c_0110_2^5 + 2097936/62131*c_0110_2^4 + 10621834/683441*c_0110_2^3 - 4455375/683441*c_0110_2^2 - 2769269/683441*c_0110_2 + 810048/683441, c_0110_2^18 + 2*c_0110_2^17 - 10*c_0110_2^16 - 23*c_0110_2^15 + 36*c_0110_2^14 + 106*c_0110_2^13 - 48*c_0110_2^12 - 251*c_0110_2^11 - 25*c_0110_2^10 + 322*c_0110_2^9 + 141*c_0110_2^8 - 212*c_0110_2^7 - 148*c_0110_2^6 + 68*c_0110_2^5 + 67*c_0110_2^4 - 11*c_0110_2^3 - 18*c_0110_2^2 + 3*c_0110_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB