Magma V2.19-8 Tue Aug 20 2013 23:39:26 on localhost [Seed = 2277630941] Type ? for help. Type -D to quit. Loading file "K13n4104__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n4104 geometric_solution 10.41172993 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 1 0 -1 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 -1 0 1 7 0 -7 0 7 0 0 -7 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.638951386740 0.810183621439 0 5 7 6 0132 0132 0132 0132 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 -7 0 7 0 -1 0 0 1 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.480412011614 0.665433911768 7 0 9 8 0132 0132 0132 0132 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 1 0 -1 0 0 0 0 0 1 0 -1 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.454770869212 0.875773639745 10 7 6 0 0132 0132 2310 0132 0 0 0 0 0 0 0 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 0 0 0 -6 0 -1 7 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.480412011614 0.665433911768 10 7 0 8 3120 3201 0132 3201 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 -1 1 0 0 0 0 -1 0 0 1 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.178818264249 1.138092427481 10 1 8 6 1023 0132 0132 2103 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 0 0 0 0 -6 0 0 6 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.061932997849 1.096720317733 9 3 1 5 2103 3201 0132 2103 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 0 0 0 0 6 0 0 -6 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.348909594079 0.869227531163 2 3 4 1 0132 0132 2310 0132 0 0 0 0 0 0 0 0 0 0 1 -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 0 0 7 -7 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.638951386740 0.810183621439 9 4 2 5 1230 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 -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 0.174490069320 0.586997169052 10 8 6 2 2103 3012 2103 0132 0 0 0 0 0 0 0 0 1 0 -1 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 6 0 -6 0 6 0 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.458474959343 0.814718467726 3 5 9 4 0132 1023 2103 3120 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 6 -6 0 6 0 -6 0 6 -7 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.712212497188 0.591202830661 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0011_9'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0101_7']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_1'], 'c_1001_2' : negation(d['c_0101_7']), 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : d['c_1001_0'], 'c_1010_10' : negation(d['c_0011_4']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_0'], '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_2_7' : d['1'], 's_2_10' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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_9' : negation(d['c_0110_6']), 'c_1100_8' : negation(d['c_0110_6']), 'c_1100_5' : negation(d['c_0110_6']), 'c_1100_4' : d['c_0011_6'], 'c_1100_7' : d['c_0011_4'], 'c_1100_6' : d['c_0011_4'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_6'], 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : negation(d['c_0110_6']), 'c_1100_10' : negation(d['c_0101_1']), 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : negation(d['c_1001_1']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_1001_0']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_3']), 'c_1010_0' : negation(d['c_0101_7']), 'c_1010_9' : negation(d['c_0101_7']), 'c_1010_8' : negation(d['c_0101_3']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_6']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : 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' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0101_3'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_9'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_7'], 'c_0011_10' : d['c_0011_0'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0011_9'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : d['c_0101_3'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0110_6']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0011_6, c_0011_9, c_0101_0, c_0101_1, c_0101_3, c_0101_7, c_0110_6, c_1001_0, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 464992693474162237/754183453907043184*c_1001_1^13 - 1032044788939429091/188545863476760796*c_1001_1^12 - 11467099888081417181/754183453907043184*c_1001_1^11 - 4489943406765655685/754183453907043184*c_1001_1^10 + 15831362728607487421/754183453907043184*c_1001_1^9 + 3227583998040067881/754183453907043184*c_1001_1^8 - 20254218205599900649/377091726953521592*c_1001_1^7 - 11332401736100729963/754183453907043184*c_1001_1^6 + 16151377768159435767/188545863476760796*c_1001_1^5 + 18952453718464956239/377091726953521592*c_1001_1^4 - 26029795183448954/2480866624694221*c_1001_1^3 - 4459968866661411571/188545863476760796*c_1001_1^2 - 5474672400106040839/94272931738380398*c_1001_1 + 836680772449304537/94272931738380398, c_0011_0 - 1, c_0011_4 + 38277691707/296222880560504*c_1001_1^13 + 309232408913/74055720140126*c_1001_1^12 + 6854857115377/296222880560504*c_1001_1^11 + 2643431807973/296222880560504*c_1001_1^10 - 57136501191135/296222880560504*c_1001_1^9 - 91872800584293/296222880560504*c_1001_1^8 + 7060873986537/148111440280252*c_1001_1^7 + 23636438396231/296222880560504*c_1001_1^6 - 108420570567621/148111440280252*c_1001_1^5 - 119134380655055/148111440280252*c_1001_1^4 + 28200655413859/74055720140126*c_1001_1^3 + 16114105679761/37027860070063*c_1001_1^2 + 8177587572004/37027860070063*c_1001_1 + 17584699068342/37027860070063, c_0011_6 + 7618567776149/296222880560504*c_1001_1^13 + 35627252642003/148111440280252*c_1001_1^12 + 220844840337893/296222880560504*c_1001_1^11 + 167291894630883/296222880560504*c_1001_1^10 - 226767463579723/296222880560504*c_1001_1^9 - 213780480251771/296222880560504*c_1001_1^8 + 80610968351290/37027860070063*c_1001_1^7 + 588022718521083/296222880560504*c_1001_1^6 - 475895277852631/148111440280252*c_1001_1^5 - 648430706894715/148111440280252*c_1001_1^4 - 16115623270873/74055720140126*c_1001_1^3 + 79854107307927/37027860070063*c_1001_1^2 + 74126871184268/37027860070063*c_1001_1 + 5170490003336/37027860070063, c_0011_9 + 12776940472921/296222880560504*c_1001_1^13 + 116623304855175/296222880560504*c_1001_1^12 + 84991199295977/74055720140126*c_1001_1^11 + 174491964126507/296222880560504*c_1001_1^10 - 57813457464071/37027860070063*c_1001_1^9 - 156971258853227/296222880560504*c_1001_1^8 + 1241633729581001/296222880560504*c_1001_1^7 + 135052412165437/74055720140126*c_1001_1^6 - 975539396661121/148111440280252*c_1001_1^5 - 285432776780801/74055720140126*c_1001_1^4 + 81943261236592/37027860070063*c_1001_1^3 + 55575618737245/37027860070063*c_1001_1^2 + 101398531900674/37027860070063*c_1001_1 + 14153862693567/37027860070063, c_0101_0 + 886590417825/74055720140126*c_1001_1^13 + 17797148290129/148111440280252*c_1001_1^12 + 64177436658717/148111440280252*c_1001_1^11 + 43519907182109/74055720140126*c_1001_1^10 + 10657936079317/148111440280252*c_1001_1^9 - 35001276499059/74055720140126*c_1001_1^8 + 64235960774769/148111440280252*c_1001_1^7 + 227320100922259/148111440280252*c_1001_1^6 - 2738053283572/37027860070063*c_1001_1^5 - 207288577245319/74055720140126*c_1001_1^4 - 109374439903853/37027860070063*c_1001_1^3 + 3911401969002/37027860070063*c_1001_1^2 + 65176887866613/37027860070063*c_1001_1 + 34050272062018/37027860070063, c_0101_1 + 423765314211/296222880560504*c_1001_1^13 - 411736482351/148111440280252*c_1001_1^12 - 32124791089073/296222880560504*c_1001_1^11 - 126264922971015/296222880560504*c_1001_1^10 - 108671848365229/296222880560504*c_1001_1^9 + 134710790795191/296222880560504*c_1001_1^8 + 18704695384798/37027860070063*c_1001_1^7 - 419245353343719/296222880560504*c_1001_1^6 - 217512478390991/148111440280252*c_1001_1^5 + 275817068572391/148111440280252*c_1001_1^4 + 168176662541745/74055720140126*c_1001_1^3 - 24487676808881/37027860070063*c_1001_1^2 - 45589851896571/37027860070063*c_1001_1 - 36565592482771/37027860070063, c_0101_3 - 756491766227/37027860070063*c_1001_1^13 - 56509105845649/296222880560504*c_1001_1^12 - 174731757175219/296222880560504*c_1001_1^11 - 35136777492751/74055720140126*c_1001_1^10 + 105138095913177/296222880560504*c_1001_1^9 - 3322530267153/74055720140126*c_1001_1^8 - 543039311836809/296222880560504*c_1001_1^7 - 309513610195453/296222880560504*c_1001_1^6 + 151269195795495/74055720140126*c_1001_1^5 + 185497959107163/148111440280252*c_1001_1^4 + 26004614611919/74055720140126*c_1001_1^3 + 24531954110714/37027860070063*c_1001_1^2 - 57121216069508/37027860070063*c_1001_1 + 15997207044617/37027860070063, c_0101_7 + 2065642006725/74055720140126*c_1001_1^13 + 70622938268093/296222880560504*c_1001_1^12 + 181342228331487/296222880560504*c_1001_1^11 + 3645461120717/37027860070063*c_1001_1^10 - 260177497439309/296222880560504*c_1001_1^9 + 12173302257891/74055720140126*c_1001_1^8 + 637111527844217/296222880560504*c_1001_1^7 - 84936839154631/296222880560504*c_1001_1^6 - 254996862882355/74055720140126*c_1001_1^5 - 88731226126201/148111440280252*c_1001_1^4 + 16994709593901/74055720140126*c_1001_1^3 - 3349102891724/37027860070063*c_1001_1^2 + 96864430282888/37027860070063*c_1001_1 - 7147525690174/37027860070063, c_0110_6 + 884585016107/148111440280252*c_1001_1^13 + 5557033158395/74055720140126*c_1001_1^12 + 50102511319033/148111440280252*c_1001_1^11 + 83898735915845/148111440280252*c_1001_1^10 - 6841994473795/148111440280252*c_1001_1^9 - 94682859157927/148111440280252*c_1001_1^8 + 57718343438917/74055720140126*c_1001_1^7 + 318957124346487/148111440280252*c_1001_1^6 - 52068913303947/74055720140126*c_1001_1^5 - 115574419407080/37027860070063*c_1001_1^4 - 12275824657819/37027860070063*c_1001_1^3 + 48618452286385/37027860070063*c_1001_1^2 + 8510972480874/37027860070063*c_1001_1 + 20998231059835/37027860070063, c_1001_0 + 6677051707611/296222880560504*c_1001_1^13 + 28653063966703/148111440280252*c_1001_1^12 + 147792771327339/296222880560504*c_1001_1^11 + 22702077278529/296222880560504*c_1001_1^10 - 218865648341129/296222880560504*c_1001_1^9 + 70279735814311/296222880560504*c_1001_1^8 + 159409141158991/74055720140126*c_1001_1^7 - 1009350772027/296222880560504*c_1001_1^6 - 481451965246175/148111440280252*c_1001_1^5 - 39462355070273/148111440280252*c_1001_1^4 + 92670589515101/74055720140126*c_1001_1^3 + 10643748893007/37027860070063*c_1001_1^2 + 44460437605013/37027860070063*c_1001_1 - 19796862165189/37027860070063, c_1001_1^14 + 9*c_1001_1^13 + 26*c_1001_1^12 + 15*c_1001_1^11 - 26*c_1001_1^10 - 7*c_1001_1^9 + 79*c_1001_1^8 + 34*c_1001_1^7 - 110*c_1001_1^6 - 80*c_1001_1^5 - 20*c_1001_1^4 + 16*c_1001_1^3 + 88*c_1001_1^2 + 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.200 Total time: 0.420 seconds, Total memory usage: 32.09MB