Magma V2.19-8 Tue Aug 20 2013 16:17:04 on localhost [Seed = 2101141935] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1321 geometric_solution 5.20576583 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 2031 1302 0 0 0 0 0 -1 -1 2 1 0 -2 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 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 0.508412514849 0.547932681574 0 3 2 4 0132 0132 1230 0132 0 0 0 0 0 1 -1 0 -1 0 0 1 -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 -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 1.090030029974 0.980704194460 3 0 4 1 2310 0132 3201 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.090030029974 0.980704194460 3 1 2 3 3201 0132 3201 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.326511152939 0.718093990025 2 5 1 5 2310 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 -1 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 0 0 0 0 0 -1 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 1.409049445517 0.468931393203 6 4 6 4 0132 0132 2310 1023 0 0 0 0 0 0 1 -1 0 0 0 0 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 0 1 -1 0 0 0 0 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.889587246061 0.328092820066 5 5 6 6 0132 3201 1230 3012 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 0 0 0 0 0.584351114329 0.203588469983 ==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' : negation(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' : 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_0101_5'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : 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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), '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' : negation(d['c_0011_4']), 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : d['c_0101_6'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), '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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 28 Groebner basis: [ t - 585990607/212697*c_0101_5*c_0101_6^13 + 2056067519/212697*c_0101_5*c_0101_6^12 + 14318084237/425394*c_0101_5*c_0101_6^11 + 457227953/212697*c_0101_5*c_0101_6^10 - 18414848960/212697*c_0101_5*c_0101_6^9 - 39869759387/212697*c_0101_5*c_0101_6^8 - 57827034565/425394*c_0101_5*c_0101_6^7 + 80016217327/425394*c_0101_5*c_0101_6^6 + 135359083387/425394*c_0101_5*c_0101_6^5 + 4400713583/141798*c_0101_5*c_0101_6^4 - 26948145448/212697*c_0101_5*c_0101_6^3 - 18548322731/425394*c_0101_5*c_0101_6^2 + 2360434051/212697*c_0101_5*c_0101_6 + 2334193447/425394*c_0101_5, c_0011_0 - 1, c_0011_4 - 593349/23633*c_0101_5*c_0101_6^13 + 6382862/70899*c_0101_5*c_0101_6^12 + 21179812/70899*c_0101_5*c_0101_6^11 + 60383/70899*c_0101_5*c_0101_6^10 - 55191917/70899*c_0101_5*c_0101_6^9 - 117210253/70899*c_0101_5*c_0101_6^8 - 26979509/23633*c_0101_5*c_0101_6^7 + 123886810/70899*c_0101_5*c_0101_6^6 + 64814852/23633*c_0101_5*c_0101_6^5 + 10908482/70899*c_0101_5*c_0101_6^4 - 77547916/70899*c_0101_5*c_0101_6^3 - 24431900/70899*c_0101_5*c_0101_6^2 + 2339934/23633*c_0101_5*c_0101_6 + 3300655/70899*c_0101_5, c_0101_0 - 2116136/70899*c_0101_6^13 + 7515772/70899*c_0101_6^12 + 25441190/70899*c_0101_6^11 + 921727/70899*c_0101_6^10 - 65671255/70899*c_0101_6^9 - 141566650/70899*c_0101_6^8 - 100788946/70899*c_0101_6^7 + 144206884/70899*c_0101_6^6 + 236246932/70899*c_0101_6^5 + 6776466/23633*c_0101_6^4 - 92272829/70899*c_0101_6^3 - 31507517/70899*c_0101_6^2 + 7906040/70899*c_0101_6 + 3835579/70899, c_0101_1 + 2437778/70899*c_0101_6^13 - 2926430/23633*c_0101_6^12 - 9625917/23633*c_0101_6^11 + 135315/23633*c_0101_6^10 + 25217002/23633*c_0101_6^9 + 159238172/70899*c_0101_6^8 + 108165085/70899*c_0101_6^7 - 171600266/70899*c_0101_6^6 - 263580271/70899*c_0101_6^5 - 10124147/70899*c_0101_6^4 + 35417387/23633*c_0101_6^3 + 30975154/70899*c_0101_6^2 - 9849113/70899*c_0101_6 - 4005128/70899, c_0101_2 + 4*c_0101_5*c_0101_6^13 - 13*c_0101_5*c_0101_6^12 - 53*c_0101_5*c_0101_6^11 - 14*c_0101_5*c_0101_6^10 + 131*c_0101_5*c_0101_6^9 + 305*c_0101_5*c_0101_6^8 + 252*c_0101_5*c_0101_6^7 - 256*c_0101_5*c_0101_6^6 - 557*c_0101_5*c_0101_6^5 - 130*c_0101_5*c_0101_6^4 + 230*c_0101_5*c_0101_6^3 + 116*c_0101_5*c_0101_6^2 - 23*c_0101_5*c_0101_6 - 19*c_0101_5, c_0101_5^2 + 19155158/1677943*c_0101_6^13 - 207291059/5033829*c_0101_6^12 - 678508057/5033829*c_0101_6^11 + 8960260/5033829*c_0101_6^10 + 1775568791/5033829*c_0101_6^9 + 3751923943/5033829*c_0101_6^8 + 850895087/1677943*c_0101_6^7 - 4018955095/5033829*c_0101_6^6 - 2063325841/1677943*c_0101_6^5 - 286376456/5033829*c_0101_6^4 + 2469433084/5033829*c_0101_6^3 + 750405179/5033829*c_0101_6^2 - 74331257/1677943*c_0101_6 - 95356303/5033829, c_0101_6^14 - 3*c_0101_6^13 - 14*c_0101_6^12 - 7*c_0101_6^11 + 31*c_0101_6^10 + 84*c_0101_6^9 + 84*c_0101_6^8 - 43*c_0101_6^7 - 150*c_0101_6^6 - 70*c_0101_6^5 + 40*c_0101_6^4 + 39*c_0101_6^3 + 4*c_0101_6^2 - 4*c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB