Magma V2.19-8 Tue Aug 20 2013 16:14:45 on localhost [Seed = 1663237893] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s731 geometric_solution 5.24742323 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 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 -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 0.425718608061 0.380264493912 2 0 3 0 0132 2310 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 0 0 0 0 0 0 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 1.267744500269 0.786773029186 1 3 4 5 0132 0213 0132 0132 0 0 0 0 0 0 0 0 0 0 -1 1 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 0 0 0 0 0 0 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 0.436602045946 0.492679341807 5 4 2 1 0132 3201 0213 0132 0 0 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.436602045946 0.492679341807 4 4 3 2 1230 3012 2310 0132 0 0 0 0 0 0 0 0 -1 0 0 1 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 0.992505518636 1.136897370412 3 5 2 5 0132 1302 0132 2031 0 0 0 0 0 0 0 0 1 0 -1 0 1 0 0 -1 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 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.479568319127 1.465653626273 ==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_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_4' : negation(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_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_1']), 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_4'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0011_1']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_4']), 'c_0110_1' : d['c_0011_4'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : negation(d['c_0011_1']), 'c_0110_4' : d['c_0011_4'], 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : negation(d['c_0011_1']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0011_4'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0011_4, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 677432754211/116465921553*c_0101_4^13 - 378324800896/38821973851*c_0101_4^12 + 76703552058/38821973851*c_0101_4^11 + 4182147625022/116465921553*c_0101_4^10 + 12136192296185/116465921553*c_0101_4^9 - 166442854463/116465921553*c_0101_4^8 - 14844221186249/38821973851*c_0101_4^7 + 20360843410882/116465921553*c_0101_4^6 + 19356973147430/116465921553*c_0101_4^5 - 9380093021201/116465921553*c_0101_4^4 - 6660605251315/116465921553*c_0101_4^3 - 2804190211304/38821973851*c_0101_4^2 + 4286417280547/38821973851*c_0101_4 + 4617797383847/116465921553, c_0011_0 - 1, c_0011_1 + 209071274/946877411*c_0101_4^13 + 457389984/946877411*c_0101_4^12 + 335829290/946877411*c_0101_4^11 - 669782545/946877411*c_0101_4^10 - 3581785079/946877411*c_0101_4^9 - 2055308699/946877411*c_0101_4^8 + 9651854931/946877411*c_0101_4^7 - 4429012947/946877411*c_0101_4^6 - 2209526655/946877411*c_0101_4^5 + 522483046/946877411*c_0101_4^4 + 1768078627/946877411*c_0101_4^3 + 1294371537/946877411*c_0101_4^2 - 1206818297/946877411*c_0101_4 + 280599914/946877411, c_0011_3 - 125005578/946877411*c_0101_4^13 - 362752376/946877411*c_0101_4^12 - 372158223/946877411*c_0101_4^11 + 332259222/946877411*c_0101_4^10 + 2563022515/946877411*c_0101_4^9 + 2839370054/946877411*c_0101_4^8 - 5257389594/946877411*c_0101_4^7 - 2210971006/946877411*c_0101_4^6 + 3194190112/946877411*c_0101_4^5 + 401370144/946877411*c_0101_4^4 - 325216641/946877411*c_0101_4^3 - 2375240579/946877411*c_0101_4^2 - 116583887/946877411*c_0101_4 + 986868539/946877411, c_0011_4 + 48912179/946877411*c_0101_4^13 - 10892878/946877411*c_0101_4^12 - 319622766/946877411*c_0101_4^11 - 746517505/946877411*c_0101_4^10 - 1005749413/946877411*c_0101_4^9 + 1486827571/946877411*c_0101_4^8 + 5593777901/946877411*c_0101_4^7 - 3753228221/946877411*c_0101_4^6 - 2121926576/946877411*c_0101_4^5 + 2047220602/946877411*c_0101_4^4 + 300620919/946877411*c_0101_4^3 + 803032709/946877411*c_0101_4^2 - 1474206098/946877411*c_0101_4 - 622038337/946877411, c_0101_1 - 457273660/946877411*c_0101_4^13 - 1014328758/946877411*c_0101_4^12 - 842375171/946877411*c_0101_4^11 + 1146159137/946877411*c_0101_4^10 + 7307823684/946877411*c_0101_4^9 + 4160114339/946877411*c_0101_4^8 - 20456770528/946877411*c_0101_4^7 + 10707377307/946877411*c_0101_4^6 + 3802534876/946877411*c_0101_4^5 - 1764484355/946877411*c_0101_4^4 - 3053689260/946877411*c_0101_4^3 - 2336073706/946877411*c_0101_4^2 + 2467765434/946877411*c_0101_4 + 447010494/946877411, c_0101_4^14 + 2*c_0101_4^13 + c_0101_4^12 - 4*c_0101_4^11 - 17*c_0101_4^10 - 6*c_0101_4^9 + 52*c_0101_4^8 - 26*c_0101_4^7 - 14*c_0101_4^6 + 5*c_0101_4^5 + 10*c_0101_4^4 + 9*c_0101_4^3 - 10*c_0101_4^2 - 3*c_0101_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB