Magma V2.19-8 Tue Aug 20 2013 16:16:12 on localhost [Seed = 1208603784] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0461 geometric_solution 4.49758820 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 0 1 1 0 3201 0132 1023 2310 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 0 0 0 0 0 0 0 0 0 0 3.382652773743 0.681310584709 2 0 0 2 0132 0132 1023 3201 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 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 -0.111921813156 0.066655238453 1 1 3 3 0132 2310 0132 2310 0 0 0 0 0 1 -1 0 -1 0 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 1 -1 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 3.858490636834 3.099696454990 2 4 5 2 3201 0132 0132 0132 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 0 0 0 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 0.053081488994 0.515918634820 5 3 6 5 2310 0132 0132 2031 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 1 0 0 -1 0 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.202526380261 0.842683174595 6 4 4 3 2310 1302 3201 0132 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 1 -1 0 0 0 0 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 0.202526380261 0.842683174595 6 6 5 4 1302 2031 3201 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 0.592441867373 0.626027972843 ==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_5']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(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' : d['c_0011_3'], 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_6']), '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_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' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : d['c_0011_6'], 'c_1001_6' : negation(d['c_0101_4']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_6']), 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : d['c_0011_6'], 'c_0110_1' : d['c_0101_2'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : negation(d['c_0011_6']), 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : negation(d['c_0101_4']), 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0011_6']), '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_0011_6, c_0101_0, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t - 2147775/65579*c_0101_4^10 + 4912036/65579*c_0101_4^9 + 41581558/65579*c_0101_4^8 - 20629690/65579*c_0101_4^7 - 155864843/65579*c_0101_4^6 + 449696/65579*c_0101_4^5 + 179554561/65579*c_0101_4^4 + 22799994/65579*c_0101_4^3 - 79822311/65579*c_0101_4^2 - 7399986/65579*c_0101_4 + 13906333/65579, c_0011_0 - 1, c_0011_3 + 12989/65579*c_0101_4^10 - 67725/65579*c_0101_4^9 - 152063/65579*c_0101_4^8 + 808424/65579*c_0101_4^7 + 406838/65579*c_0101_4^6 - 2234851/65579*c_0101_4^5 - 652898/65579*c_0101_4^4 + 1772496/65579*c_0101_4^3 + 560798/65579*c_0101_4^2 - 435551/65579*c_0101_4 - 58596/65579, c_0011_5 - 117192/65579*c_0101_2*c_0101_4^10 + 194783/65579*c_0101_2*c_0101_4^9 + 2405127/65579*c_0101_2*c_0101_4^8 + 341949/65579*c_0101_2*c_0101_4^7 - 8549711/65579*c_0101_2*c_0101_4^6 - 5188622/65579*c_0101_2*c_0101_4^5 + 7304149/65579*c_0101_2*c_0101_4^4 + 6009295/65579*c_0101_2*c_0101_4^3 - 1006066/65579*c_0101_2*c_0101_4^2 - 1516743/65579*c_0101_2*c_0101_4 - 205597/65579*c_0101_2, c_0011_6 - 85226/65579*c_0101_2*c_0101_4^10 + 99441/65579*c_0101_2*c_0101_4^9 + 1854009/65579*c_0101_2*c_0101_4^8 + 1039570/65579*c_0101_2*c_0101_4^7 - 6762416/65579*c_0101_2*c_0101_4^6 - 6624305/65579*c_0101_2*c_0101_4^5 + 5711384/65579*c_0101_2*c_0101_4^4 + 7321441/65579*c_0101_2*c_0101_4^3 - 415674/65579*c_0101_2*c_0101_4^2 - 1920290/65579*c_0101_2*c_0101_4 - 283698/65579*c_0101_2, c_0101_0 + 26612/65579*c_0101_2*c_0101_4^10 + 6438/65579*c_0101_2*c_0101_4^9 - 658654/65579*c_0101_2*c_0101_4^8 - 1048113/65579*c_0101_2*c_0101_4^7 + 2320752/65579*c_0101_2*c_0101_4^6 + 4540446/65579*c_0101_2*c_0101_4^5 - 1254677/65579*c_0101_2*c_0101_4^4 - 4399382/65579*c_0101_2*c_0101_4^3 - 633130/65579*c_0101_2*c_0101_4^2 + 1109916/65579*c_0101_2*c_0101_4 + 306946/65579*c_0101_2, c_0101_2^2 - 460893/327895*c_0101_4^10 + 275534/65579*c_0101_4^9 + 1594113/65579*c_0101_4^8 - 9985712/327895*c_0101_4^7 - 26881099/327895*c_0101_4^6 + 17779709/327895*c_0101_4^5 + 27594869/327895*c_0101_4^4 - 10278592/327895*c_0101_4^3 - 10482122/327895*c_0101_4^2 + 2568242/327895*c_0101_4 + 577761/327895, c_0101_4^11 - 2*c_0101_4^10 - 20*c_0101_4^9 + 4*c_0101_4^8 + 75*c_0101_4^7 + 21*c_0101_4^6 - 82*c_0101_4^5 - 35*c_0101_4^4 + 31*c_0101_4^3 + 13*c_0101_4^2 - 4*c_0101_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB