Magma V2.19-8 Tue Aug 20 2013 16:16:31 on localhost [Seed = 324177908] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0800 geometric_solution 4.74001819 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 3 0132 0132 0132 2310 0 0 0 0 0 1 0 -1 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 0 -1 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 1.034392426838 1.307752824416 0 2 4 2 0132 3012 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 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 0.757333014190 0.582150165616 1 0 1 4 1230 0132 2031 2310 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 -1 1 0 -1 0 1 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 0.757333014190 0.582150165616 0 5 5 0 3201 0132 3201 0132 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 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 -0.266162620650 0.188386423586 2 6 6 1 3201 0132 1023 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.371999320291 0.237359279206 3 3 5 5 2310 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5.335414327944 1.829180325359 6 4 4 6 3201 0132 1023 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 -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 1.102476803972 1.011623270121 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_5' : d['c_0101_5'], 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_0'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), '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_0101_6'], 'c_1001_6' : d['c_0011_0'], 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_0']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0101_6']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_4']), '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_3, c_0011_4, c_0101_0, c_0101_1, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t + 596517/2720*c_0101_6^25 - 3170659/2720*c_0101_6^24 - 381029/1360*c_0101_6^23 + 7420093/544*c_0101_6^22 - 30364157/1360*c_0101_6^21 - 34056827/680*c_0101_6^20 + 880841/5*c_0101_6^19 - 18415287/2720*c_0101_6^18 - 156102371/272*c_0101_6^17 + 187390093/340*c_0101_6^16 + 1187212881/1360*c_0101_6^15 - 4656403087/2720*c_0101_6^14 - 469035851/1360*c_0101_6^13 + 6998028391/2720*c_0101_6^12 - 542550711/680*c_0101_6^11 - 1212171965/544*c_0101_6^10 + 903895981/680*c_0101_6^9 + 3354101353/2720*c_0101_6^8 - 1253050089/1360*c_0101_6^7 - 1402298137/2720*c_0101_6^6 + 225441037/680*c_0101_6^5 + 25257491/136*c_0101_6^4 - 3579719/85*c_0101_6^3 - 23159875/544*c_0101_6^2 - 25459769/2720*c_0101_6 - 57888/85, c_0011_0 - 1, c_0011_3 + 14*c_0101_6^25 - 71*c_0101_6^24 - 37*c_0101_6^23 + 871*c_0101_6^22 - 1210*c_0101_6^21 - 3600*c_0101_6^20 + 10539*c_0101_6^19 + 2528*c_0101_6^18 - 37361*c_0101_6^17 + 26130*c_0101_6^16 + 66363*c_0101_6^15 - 97246*c_0101_6^14 - 51893*c_0101_6^13 + 164002*c_0101_6^12 - 9120*c_0101_6^11 - 162200*c_0101_6^10 + 51642*c_0101_6^9 + 105610*c_0101_6^8 - 42412*c_0101_6^7 - 50500*c_0101_6^6 + 14872*c_0101_6^5 + 18291*c_0101_6^4 - 300*c_0101_6^3 - 3761*c_0101_6^2 - 1231*c_0101_6 - 129, c_0011_4 + 1281/2*c_0101_6^25 - 3378*c_0101_6^24 - 1989/2*c_0101_6^23 + 79951/2*c_0101_6^22 - 126947/2*c_0101_6^21 - 150972*c_0101_6^20 + 511320*c_0101_6^19 + 17741/2*c_0101_6^18 - 3399625/2*c_0101_6^17 + 1539408*c_0101_6^16 + 2687496*c_0101_6^15 - 9916571/2*c_0101_6^14 - 2626889/2*c_0101_6^13 + 15318953/2*c_0101_6^12 - 3983341/2*c_0101_6^11 - 13703199/2*c_0101_6^10 + 7399969/2*c_0101_6^9 + 7876119/2*c_0101_6^8 - 5305623/2*c_0101_6^7 - 3385877/2*c_0101_6^6 + 1928013/2*c_0101_6^5 + 607916*c_0101_6^4 - 115486*c_0101_6^3 - 272789/2*c_0101_6^2 - 31556*c_0101_6 - 4781/2, c_0101_0 - 2215*c_0101_6^25 + 11666*c_0101_6^24 + 3529*c_0101_6^23 - 138253*c_0101_6^22 + 218517*c_0101_6^21 + 524035*c_0101_6^20 - 1765233*c_0101_6^19 - 44460*c_0101_6^18 + 5883187*c_0101_6^17 - 5283347*c_0101_6^16 - 9346796*c_0101_6^15 + 17099841*c_0101_6^14 + 4681695*c_0101_6^13 - 26506680*c_0101_6^12 + 6705887*c_0101_6^11 + 23809103*c_0101_6^10 - 12668676*c_0101_6^9 - 13754676*c_0101_6^8 + 9126224*c_0101_6^7 + 5936110*c_0101_6^6 - 3321129*c_0101_6^5 - 2130081*c_0101_6^4 + 394181*c_0101_6^3 + 476238*c_0101_6^2 + 110891*c_0101_6 + 8442, c_0101_1 + c_0101_6^25 - 5*c_0101_6^24 - 3*c_0101_6^23 + 62*c_0101_6^22 - 82*c_0101_6^21 - 263*c_0101_6^20 + 734*c_0101_6^19 + 233*c_0101_6^18 - 2652*c_0101_6^17 + 1677*c_0101_6^16 + 4860*c_0101_6^15 - 6599*c_0101_6^14 - 4178*c_0101_6^13 + 11416*c_0101_6^12 + 164*c_0101_6^11 - 11574*c_0101_6^10 + 2862*c_0101_6^9 + 7748*c_0101_6^8 - 2476*c_0101_6^7 - 3784*c_0101_6^6 + 792*c_0101_6^5 + 1363*c_0101_6^4 + 76*c_0101_6^3 - 263*c_0101_6^2 - 108*c_0101_6 - 16, c_0101_5 + 4495/4*c_0101_6^25 - 5846*c_0101_6^24 - 8769/4*c_0101_6^23 + 280533/4*c_0101_6^22 - 425313/4*c_0101_6^21 - 548487/2*c_0101_6^20 + 880643*c_0101_6^19 + 337727/4*c_0101_6^18 - 11999697/4*c_0101_6^17 + 4983289/2*c_0101_6^16 + 9931775/2*c_0101_6^15 - 33716315/4*c_0101_6^14 - 12007825/4*c_0101_6^13 + 53850359/4*c_0101_6^12 - 10148153/4*c_0101_6^11 - 50125267/4*c_0101_6^10 + 23071939/4*c_0101_6^9 + 30282259/4*c_0101_6^8 - 17352221/4*c_0101_6^7 - 13556597/4*c_0101_6^6 + 6366471/4*c_0101_6^5 + 1214530*c_0101_6^4 - 166053*c_0101_6^3 - 1054397/4*c_0101_6^2 - 131955/2*c_0101_6 - 21289/4, c_0101_6^26 - 5*c_0101_6^25 - 3*c_0101_6^24 + 62*c_0101_6^23 - 82*c_0101_6^22 - 263*c_0101_6^21 + 734*c_0101_6^20 + 233*c_0101_6^19 - 2652*c_0101_6^18 + 1677*c_0101_6^17 + 4860*c_0101_6^16 - 6599*c_0101_6^15 - 4178*c_0101_6^14 + 11416*c_0101_6^13 + 164*c_0101_6^12 - 11574*c_0101_6^11 + 2862*c_0101_6^10 + 7748*c_0101_6^9 - 2476*c_0101_6^8 - 3784*c_0101_6^7 + 792*c_0101_6^6 + 1363*c_0101_6^5 + 76*c_0101_6^4 - 263*c_0101_6^3 - 107*c_0101_6^2 - 17*c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB