Magma V2.19-8 Tue Aug 20 2013 16:18:22 on localhost [Seed = 1141234026] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2569 geometric_solution 5.87145246 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 0 2 0 0132 1302 0132 2031 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 1 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 0 0 0 0.609953133676 0.773217872494 0 3 2 4 0132 0132 0213 0132 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 0 0 0 -1 0 0 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 0.797126047460 0.634838415317 4 1 5 0 3201 0213 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 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.797126047460 0.634838415317 4 1 5 6 0132 0132 3201 0132 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 -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 0.733419263059 1.008237082132 3 5 1 2 0132 3201 0132 2310 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 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 0.547358310872 0.079878887897 3 6 4 2 2310 1023 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.733419263059 1.008237082132 5 6 3 6 1023 1302 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.311686937729 0.977320600580 ==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' : negation(d['c_0011_0']), 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_5']), 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0101_2']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_2'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_6' : d['c_0011_5'], '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' : d['c_0011_2'], 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_6' : d['c_0110_6'], 'c_1001_1' : d['c_0110_6'], 'c_1001_0' : d['c_0011_2'], 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : d['c_0110_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_2'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : d['c_0110_6'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_0110_6'], 'c_1010_2' : d['c_0011_2'], 'c_1010_1' : negation(d['c_0101_5']), '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_2, c_0011_5, c_0101_0, c_0101_2, c_0101_5, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t + 24984803220829922170/3409961355268424883*c_0110_6^16 + 151753487828690167339/3409961355268424883*c_0110_6^15 + 233520178617538515271/3409961355268424883*c_0110_6^14 + 28265378075231057864/3409961355268424883*c_0110_6^13 - 612360723881129077120/3409961355268424883*c_0110_6^12 - 200947380993809735893/378884595029824987*c_0110_6^11 - 393270782008995205960/3409961355268424883*c_0110_6^10 - 126110032105371706072/1136653785089474961*c_0110_6^9 + 1668073521045423098236/1136653785089474961*c_0110_6^8 - 145562613901245683500/1136653785089474961*c_0110_6^7 - 2214720400216713394838/3409961355268424883*c_0110_6^6 - 1759231325814649185830/3409961355268424883*c_0110_6^5 - 1338684972243147218744/3409961355268424883*c_0110_6^4 + 1201190835315976765469/3409961355268424883*c_0110_6^3 - 23318836412211796117/378884595029824987*c_0110_6^2 + 67526052442893148748/1136653785089474961*c_0110_6 + 27448945532170396259/3409961355268424883, c_0011_0 - 1, c_0011_2 - 126355870468257943/378884595029824987*c_0110_6^16 - 681592039659895400/378884595029824987*c_0110_6^15 - 661548248023061197/378884595029824987*c_0110_6^14 + 655510322108927337/378884595029824987*c_0110_6^13 + 3220008896181286713/378884595029824987*c_0110_6^12 + 7073324290596436405/378884595029824987*c_0110_6^11 - 4247943503174463216/378884595029824987*c_0110_6^10 + 466158601968395954/378884595029824987*c_0110_6^9 - 27039330148828462072/378884595029824987*c_0110_6^8 + 19886283753881703510/378884595029824987*c_0110_6^7 + 9375774457217838114/378884595029824987*c_0110_6^6 + 3332911434572599644/378884595029824987*c_0110_6^5 - 749753496340129184/378884595029824987*c_0110_6^4 - 11208136003038830359/378884595029824987*c_0110_6^3 + 4934116592047306451/378884595029824987*c_0110_6^2 - 1164816095032406523/378884595029824987*c_0110_6 + 749590351482448714/378884595029824987, c_0011_5 + 103163416436306566/378884595029824987*c_0110_6^16 + 679458571694655531/378884595029824987*c_0110_6^15 + 1288391528773780373/378884595029824987*c_0110_6^14 + 616212808117532919/378884595029824987*c_0110_6^13 - 2524741011026320443/378884595029824987*c_0110_6^12 - 8904392274580674218/378884595029824987*c_0110_6^11 - 5561153278863789604/378884595029824987*c_0110_6^10 - 2277321618486541309/378884595029824987*c_0110_6^9 + 20857843922897469298/378884595029824987*c_0110_6^8 + 9136709855521201254/378884595029824987*c_0110_6^7 - 9353831628998548090/378884595029824987*c_0110_6^6 - 14641330769449463823/378884595029824987*c_0110_6^5 - 9928742483261409392/378884595029824987*c_0110_6^4 + 3580577779291277473/378884595029824987*c_0110_6^3 + 2861868250940906364/378884595029824987*c_0110_6^2 + 921679390674714192/378884595029824987*c_0110_6 + 333581309631166905/378884595029824987, c_0101_0 - 58751158846314308/378884595029824987*c_0110_6^16 - 420989539921341267/378884595029824987*c_0110_6^15 - 944592493786711520/378884595029824987*c_0110_6^14 - 692167386747990330/378884595029824987*c_0110_6^13 + 1373748357837590922/378884595029824987*c_0110_6^12 + 5924988705231403880/378884595029824987*c_0110_6^11 + 5733189157627252170/378884595029824987*c_0110_6^10 + 2062356172492955441/378884595029824987*c_0110_6^9 - 11481856690556605852/378884595029824987*c_0110_6^8 - 12060319050330086824/378884595029824987*c_0110_6^7 + 5186567175201097309/378884595029824987*c_0110_6^6 + 11735025106655431134/378884595029824987*c_0110_6^5 + 8827258048044666398/378884595029824987*c_0110_6^4 - 521633278068386959/378884595029824987*c_0110_6^3 - 2880333432072090534/378884595029824987*c_0110_6^2 - 475313388555626464/378884595029824987*c_0110_6 - 276998281719208538/378884595029824987, c_0101_2 - 61302821435440514/378884595029824987*c_0110_6^16 - 369587300646276782/378884595029824987*c_0110_6^15 - 539962755254124579/378884595029824987*c_0110_6^14 + 63335005072332823/378884595029824987*c_0110_6^13 + 1706314009374892873/378884595029824987*c_0110_6^12 + 4462875247099394591/378884595029824987*c_0110_6^11 + 386332752312884719/378884595029824987*c_0110_6^10 - 472767590719494451/378884595029824987*c_0110_6^9 - 13161649040752013103/378884595029824987*c_0110_6^8 + 1206561631891058116/378884595029824987*c_0110_6^7 + 8314190562993118121/378884595029824987*c_0110_6^6 + 5471152316077920080/378884595029824987*c_0110_6^5 + 1367652979137145468/378884595029824987*c_0110_6^4 - 4194144963784941490/378884595029824987*c_0110_6^3 - 818636459270993274/378884595029824987*c_0110_6^2 - 339128072160064724/378884595029824987*c_0110_6 + 161444250327132559/378884595029824987, c_0101_5 + 61302821435440514/378884595029824987*c_0110_6^16 + 369587300646276782/378884595029824987*c_0110_6^15 + 539962755254124579/378884595029824987*c_0110_6^14 - 63335005072332823/378884595029824987*c_0110_6^13 - 1706314009374892873/378884595029824987*c_0110_6^12 - 4462875247099394591/378884595029824987*c_0110_6^11 - 386332752312884719/378884595029824987*c_0110_6^10 + 472767590719494451/378884595029824987*c_0110_6^9 + 13161649040752013103/378884595029824987*c_0110_6^8 - 1206561631891058116/378884595029824987*c_0110_6^7 - 8314190562993118121/378884595029824987*c_0110_6^6 - 5471152316077920080/378884595029824987*c_0110_6^5 - 1367652979137145468/378884595029824987*c_0110_6^4 + 4194144963784941490/378884595029824987*c_0110_6^3 + 818636459270993274/378884595029824987*c_0110_6^2 + 339128072160064724/378884595029824987*c_0110_6 - 161444250327132559/378884595029824987, c_0110_6^17 + 6*c_0110_6^16 + 9*c_0110_6^15 + c_0110_6^14 - 24*c_0110_6^13 - 71*c_0110_6^12 - 13*c_0110_6^11 - 20*c_0110_6^10 + 204*c_0110_6^9 - 33*c_0110_6^8 - 65*c_0110_6^7 - 78*c_0110_6^6 - 54*c_0110_6^5 + 46*c_0110_6^4 - 11*c_0110_6^3 + 15*c_0110_6^2 - c_0110_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB