Magma V2.19-8 Tue Aug 20 2013 16:16:18 on localhost [Seed = 3431813165] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0566 geometric_solution 4.58714700 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 2 0 0132 1302 0132 2031 0 0 0 0 0 -1 0 1 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 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 0.268384999423 0.107193200452 0 3 2 4 0132 0132 3012 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 -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 -1.213387680356 1.283429813481 5 1 3 0 0132 1230 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.213387680356 1.283429813481 2 1 4 5 2310 0132 2031 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 2.130962987699 1.874383988443 5 6 1 3 2031 0132 0132 1302 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 0.014912178265 0.855486248260 2 3 4 6 0132 1302 1302 1023 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 0 -1 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 0.014912178265 0.855486248260 6 4 6 5 2310 0132 3201 1023 0 0 0 0 0 0 -1 1 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 -1 1 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 0.788906596115 0.443783414663 ==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' : 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' : 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_4'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0101_3'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0101_6'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_4']), 'c_0011_5' : negation(d['c_0011_2']), '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_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : negation(d['c_0011_2']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : negation(d['c_0101_3']), 'c_0110_1' : negation(d['c_0011_4']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : negation(d['c_0101_6']), 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : negation(d['c_0101_6']), 'c_1010_3' : negation(d['c_0011_2']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0101_2'], '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_4, c_0101_1, c_0101_2, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 17079499315665434877882833/1369829120614509519048588*c_0101_6^17 + 10736445068353801662417703/228304853435751586508098*c_0101_6^16 - 219929929481072371633644877/456609706871503173016196*c_0101_6^15 - 50481080935379416766939316/114152426717875793254049*c_0101_6^14 + 1979942762692355680689236972/342457280153627379762147*c_0101_6^13 + 154125968452036127201196719/97844937186750679932042*c_0101_6^12 - 39855963644413867220906324281/1369829120614509519048588*c_0101_6^11 - 2542021573376955097694039901/456609706871503173016196*c_0101_6^10 + 26042693083835235131091128108/342457280153627379762147*c_0101_6^9 + 37846263695129449924828971539/1369829120614509519048588*c_0101_6^\ 8 - 129115474250278175872363640555/1369829120614509519048588*c_0101\ _6^7 - 39349451270405490010826086555/684914560307254759524294*c_010\ 1_6^6 + 7740429268464111894007866370/342457280153627379762147*c_010\ 1_6^5 + 2589011497852217384474015909/1369829120614509519048588*c_01\ 01_6^4 - 8678954623300772571588099101/684914560307254759524294*c_01\ 01_6^3 + 450829298790547614527142341/114152426717875793254049*c_010\ 1_6^2 + 2328360693598650888073124693/684914560307254759524294*c_010\ 1_6 - 639318172663065074671053361/1369829120614509519048588, c_0011_0 - 1, c_0011_2 - 6263146500600613038542/48922468593375339966021*c_0101_6^17 - 59913084124848306671321/146767405780126019898063*c_0101_6^16 + 253365016186019807430542/48922468593375339966021*c_0101_6^15 + 73455258726607513073003/48922468593375339966021*c_0101_6^14 - 8815323773284228106401132/146767405780126019898063*c_0101_6^13 + 5606943549497161530204611/293534811560252039796126*c_0101_6^12 + 27918364124190686081133995/97844937186750679932042*c_0101_6^11 - 32449120107950524326674591/293534811560252039796126*c_0101_6^10 - 103320753662922599304721157/146767405780126019898063*c_0101_6^9 + 4254852057715897135861281/32614979062250226644014*c_0101_6^8 + 252108418664378294940056513/293534811560252039796126*c_0101_6^7 + 22898935390582833213953149/293534811560252039796126*c_0101_6^6 - 35030328166595640155489761/146767405780126019898063*c_0101_6^5 + 20513667526003523492886796/146767405780126019898063*c_0101_6^4 + 6178439449765944669474710/146767405780126019898063*c_0101_6^3 - 1990119409638143227800311/32614979062250226644014*c_0101_6^2 + 604728409751507817761953/146767405780126019898063*c_0101_6 + 72590022531684904943206/146767405780126019898063, c_0011_4 - 25459629673652994226033/587069623120504079592252*c_0101_6^17 - 27629916097085894134871/195689874373501359864084*c_0101_6^16 + 28433999939271884200886/16307489531125113322007*c_0101_6^15 + 91351768702082693266552/146767405780126019898063*c_0101_6^14 - 5945052540711019155857405/293534811560252039796126*c_0101_6^13 + 497691938382277110336985/97844937186750679932042*c_0101_6^12 + 56657406287650238542382071/587069623120504079592252*c_0101_6^11 - 8955204840218583182092679/293534811560252039796126*c_0101_6^10 - 7791121466689568259353613/32614979062250226644014*c_0101_6^9 + 15882787280897071297140251/587069623120504079592252*c_0101_6^8 + 42498924170443272806342257/146767405780126019898063*c_0101_6^7 + 13307122937759434139872775/293534811560252039796126*c_0101_6^6 - 10888193371504999178334454/146767405780126019898063*c_0101_6^5 + 26436456711554330785046383/587069623120504079592252*c_0101_6^4 + 1169678573594771373990499/65229958124500453288028*c_0101_6^3 - 10686901699959257474940487/587069623120504079592252*c_0101_6^2 + 324571013555965470697463/587069623120504079592252*c_0101_6 + 1144561294307779027886/48922468593375339966021, c_0101_1 + 8049724396163951061433/146767405780126019898063*c_0101_6^17 + 82931263956587492329931/587069623120504079592252*c_0101_6^16 - 113409346765484846014280/48922468593375339966021*c_0101_6^15 + 213825024498264355939027/293534811560252039796126*c_0101_6^14 + 7568487488741541345151183/293534811560252039796126*c_0101_6^13 - 6891094552628446740779339/293534811560252039796126*c_0101_6^12 - 16745306474945642309013085/146767405780126019898063*c_0101_6^11 + 67816688099064929182102139/587069623120504079592252*c_0101_6^10 + 154880886150837558555347165/587069623120504079592252*c_0101_6^9 - 126087091180148855738630495/587069623120504079592252*c_0101_6^8 - 47624272182908712523717802/146767405780126019898063*c_0101_6^7 + 4916391507584014366445901/32614979062250226644014*c_0101_6^6 + 35599226667096967580967643/293534811560252039796126*c_0101_6^5 - 28247257401314609983998913/293534811560252039796126*c_0101_6^4 + 4610460403471955124119785/587069623120504079592252*c_0101_6^3 + 4484267860556294325251944/146767405780126019898063*c_0101_6^2 - 2054877721577532122534221/195689874373501359864084*c_0101_6 - 41762766770763620802245/293534811560252039796126, c_0101_2 + 8751146883194140904845/146767405780126019898063*c_0101_6^17 + 18939524494203338087255/97844937186750679932042*c_0101_6^16 - 117490786632480529229461/48922468593375339966021*c_0101_6^15 - 123751927453972897865125/146767405780126019898063*c_0101_6^14 + 4101669510497340676033738/146767405780126019898063*c_0101_6^13 - 698798792945146250910833/97844937186750679932042*c_0101_6^12 - 39262679852134728710743961/293534811560252039796126*c_0101_6^11 + 6259492335875224433310784/146767405780126019898063*c_0101_6^10 + 32656558306542976871444285/97844937186750679932042*c_0101_6^9 - 5629347760070253581652332/146767405780126019898063*c_0101_6^8 - 120898393161344999419932401/293534811560252039796126*c_0101_6^7 - 19523101833881670458415743/293534811560252039796126*c_0101_6^6 + 17387412289328608281353470/146767405780126019898063*c_0101_6^5 - 7261971605490362626082641/146767405780126019898063*c_0101_6^4 - 2408966224059418547860135/97844937186750679932042*c_0101_6^3 + 7934213535252345118023713/293534811560252039796126*c_0101_6^2 + 237245835263084794780607/293534811560252039796126*c_0101_6 - 24733833027168914696563/48922468593375339966021, c_0101_3 - 6263146500600613038542/48922468593375339966021*c_0101_6^17 - 59913084124848306671321/146767405780126019898063*c_0101_6^16 + 253365016186019807430542/48922468593375339966021*c_0101_6^15 + 73455258726607513073003/48922468593375339966021*c_0101_6^14 - 8815323773284228106401132/146767405780126019898063*c_0101_6^13 + 5606943549497161530204611/293534811560252039796126*c_0101_6^12 + 27918364124190686081133995/97844937186750679932042*c_0101_6^11 - 32449120107950524326674591/293534811560252039796126*c_0101_6^10 - 103320753662922599304721157/146767405780126019898063*c_0101_6^9 + 4254852057715897135861281/32614979062250226644014*c_0101_6^8 + 252108418664378294940056513/293534811560252039796126*c_0101_6^7 + 22898935390582833213953149/293534811560252039796126*c_0101_6^6 - 35030328166595640155489761/146767405780126019898063*c_0101_6^5 + 20513667526003523492886796/146767405780126019898063*c_0101_6^4 + 6178439449765944669474710/146767405780126019898063*c_0101_6^3 - 1990119409638143227800311/32614979062250226644014*c_0101_6^2 + 604728409751507817761953/146767405780126019898063*c_0101_6 + 72590022531684904943206/146767405780126019898063, c_0101_6^18 + 3*c_0101_6^17 - 41*c_0101_6^16 - 4*c_0101_6^15 + 469*c_0101_6^14 - 235*c_0101_6^13 - 2178*c_0101_6^12 + 1243*c_0101_6^11 + 5264*c_0101_6^10 - 1897*c_0101_6^9 - 6409*c_0101_6^8 + 405*c_0101_6^7 + 1902*c_0101_6^6 - 1295*c_0101_6^5 - 161*c_0101_6^4 + 492*c_0101_6^3 - 89*c_0101_6^2 - 2*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB