Magma V2.19-8 Tue Aug 20 2013 16:16:22 on localhost [Seed = 3229703200] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0646 geometric_solution 4.63330983 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 3 0132 0132 1230 0132 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 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 0.355442920380 0.765874172581 0 4 4 2 0132 0132 1023 3012 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 0.601242215903 0.224175113451 3 0 1 0 1230 0132 1230 3012 0 0 0 0 0 1 0 -1 0 0 1 -1 -1 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 0 0 1 -1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.643259575452 0.764332455077 3 2 0 3 3201 3012 0132 2310 0 0 0 0 0 -1 0 1 -1 0 0 1 -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 -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 -0.498585307294 1.074303602045 5 1 1 5 0132 0132 1023 3201 0 0 0 0 0 0 0 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 -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 1.002493094645 0.344661884204 4 4 6 6 0132 2310 2310 0132 0 0 0 0 0 0 0 0 1 0 0 -1 -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 0 0 -1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.813490576519 0.719810340897 6 5 5 6 3012 3201 0132 1230 0 0 0 0 0 0 0 0 0 0 1 -1 1 0 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 1 -1 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.359346131286 0.110014858135 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(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' : 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' : negation(d['1']), 's_1_1' : 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' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_6'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_0011_0'], '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_0101_0'], 'c_0101_6' : d['c_0101_4'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_0']), 'c_0011_4' : d['c_0011_0'], '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' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : d['c_0101_1'], 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_1']), 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : d['c_0101_4'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0011_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_6, c_0101_0, c_0101_1, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 28 Groebner basis: [ t + 2226366865204955/76063651387283*c_0101_4*c_0101_5^13 - 22362955755638247/76063651387283*c_0101_4*c_0101_5^12 + 63336986913482722/76063651387283*c_0101_4*c_0101_5^11 + 39451627196681159/76063651387283*c_0101_4*c_0101_5^10 - 466926637576618560/76063651387283*c_0101_4*c_0101_5^9 + 519271207592419438/76063651387283*c_0101_4*c_0101_5^8 + 626477223776523442/76063651387283*c_0101_4*c_0101_5^7 - 1207869207004326757/76063651387283*c_0101_4*c_0101_5^6 - 201692107369129751/76063651387283*c_0101_4*c_0101_5^5 + 959105180275989265/76063651387283*c_0101_4*c_0101_5^4 - 112589219346389889/76063651387283*c_0101_4*c_0101_5^3 - 418915200873292094/76063651387283*c_0101_4*c_0101_5^2 + 44940656318427944/76063651387283*c_0101_4*c_0101_5 + 71557731978593619/76063651387283*c_0101_4, c_0011_0 - 1, c_0011_3 - 314415933757/601919773577*c_0101_4*c_0101_5^13 + 3323061521691/601919773577*c_0101_4*c_0101_5^12 - 564064457210/31679988083*c_0101_4*c_0101_5^11 + 18238371608/31679988083*c_0101_4*c_0101_5^10 + 3416711135855/31679988083*c_0101_4*c_0101_5^9 - 107840186660150/601919773577*c_0101_4*c_0101_5^8 - 25948317706757/601919773577*c_0101_4*c_0101_5^7 + 177148231289214/601919773577*c_0101_4*c_0101_5^6 - 71055233648970/601919773577*c_0101_4*c_0101_5^5 - 83583605406781/601919773577*c_0101_4*c_0101_5^4 + 59679241856446/601919773577*c_0101_4*c_0101_5^3 + 19252227290764/601919773577*c_0101_4*c_0101_5^2 - 14368903644397/601919773577*c_0101_4*c_0101_5 - 610072629415/601919773577*c_0101_4, c_0011_6 + 8921701821/601919773577*c_0101_5^13 - 102019977989/601919773577*c_0101_5^12 + 18725925797/31679988083*c_0101_5^11 - 671417339/31679988083*c_0101_5^10 - 124907894704/31679988083*c_0101_5^9 + 3733734259038/601919773577*c_0101_5^8 + 2452569690750/601919773577*c_0101_5^7 - 8032423939406/601919773577*c_0101_5^6 + 329223061218/601919773577*c_0101_5^5 + 6128402630995/601919773577*c_0101_5^4 - 1755680132900/601919773577*c_0101_5^3 - 2677394984238/601919773577*c_0101_5^2 + 1024466037673/601919773577*c_0101_5 + 655133626543/601919773577, c_0101_0 + 550225420214/601919773577*c_0101_4*c_0101_5^13 - 5814963358213/601919773577*c_0101_4*c_0101_5^12 + 984361555296/31679988083*c_0101_4*c_0101_5^11 - 3152113099/31679988083*c_0101_4*c_0101_5^10 - 6078455288013/31679988083*c_0101_4*c_0101_5^9 + 189428985469343/601919773577*c_0101_4*c_0101_5^8 + 55492668346721/601919773577*c_0101_4*c_0101_5^7 - 330607968973026/601919773577*c_0101_4*c_0101_5^6 + 127097403909368/601919773577*c_0101_4*c_0101_5^5 + 172687592599825/601919773577*c_0101_4*c_0101_5^4 - 122711339319140/601919773577*c_0101_4*c_0101_5^3 - 38512572070838/601919773577*c_0101_4*c_0101_5^2 + 31662276489494/601919773577*c_0101_4*c_0101_5 + 936601573762/601919773577*c_0101_4, c_0101_1 + 53213852966/601919773577*c_0101_5^13 - 541060231481/601919773577*c_0101_5^12 + 83789887423/31679988083*c_0101_5^11 + 34487927169/31679988083*c_0101_5^10 - 584680965287/31679988083*c_0101_5^9 + 14293153063760/601919773577*c_0101_5^8 + 11804710807034/601919773577*c_0101_5^7 - 30709125615696/601919773577*c_0101_5^6 + 1966044701282/601919773577*c_0101_5^5 + 22446306008230/601919773577*c_0101_5^4 - 7884459778873/601919773577*c_0101_5^3 - 8408165783606/601919773577*c_0101_5^2 + 2767255299219/601919773577*c_0101_5 + 731591110205/601919773577, c_0101_4^2 - 8921701821/601919773577*c_0101_5^13 + 102019977989/601919773577*c_0101_5^12 - 18725925797/31679988083*c_0101_5^11 + 671417339/31679988083*c_0101_5^10 + 124907894704/31679988083*c_0101_5^9 - 3733734259038/601919773577*c_0101_5^8 - 2452569690750/601919773577*c_0101_5^7 + 8032423939406/601919773577*c_0101_5^6 - 329223061218/601919773577*c_0101_5^5 - 6128402630995/601919773577*c_0101_5^4 + 1755680132900/601919773577*c_0101_5^3 + 2075475210661/601919773577*c_0101_5^2 - 1024466037673/601919773577*c_0101_5 - 655133626543/601919773577, c_0101_5^14 - 10*c_0101_5^13 + 28*c_0101_5^12 + 19*c_0101_5^11 - 209*c_0101_5^10 + 224*c_0101_5^9 + 292*c_0101_5^8 - 531*c_0101_5^7 - 114*c_0101_5^6 + 428*c_0101_5^5 - 33*c_0101_5^4 - 191*c_0101_5^3 + 13*c_0101_5^2 + 33*c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB