Magma V2.19-8 Tue Aug 20 2013 23:39:04 on localhost [Seed = 1393899323] Type ? for help. Type -D to quit. Loading file "K12n830__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n830 geometric_solution 9.49607379 oriented_manifold CS_known 0.0000000000000006 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 1 -1 0 0 0 1 -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 -9 8 1 0 0 -9 9 0 0 0 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.863362866373 1.006683223049 0 5 7 6 0132 0132 0132 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 1 -1 0 0 0 -8 8 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.613571986955 0.379527392061 8 0 9 4 0132 0132 0132 1230 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 9 0 -9 0 0 0 0 0 -8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.459681655644 0.589667225024 6 7 9 0 0132 1023 0321 0132 0 0 0 0 0 -1 0 1 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 8 0 -8 0 0 -9 9 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.613571986955 0.379527392061 2 10 0 7 3012 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 -1 1 9 0 -9 0 0 0 0 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.531756036991 1.101938838181 9 1 6 10 1023 0132 2031 1023 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 -1 1 0 0 0 0 0 -1 0 0 1 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.562230076592 0.890844763439 3 9 1 5 0132 1023 0132 1302 0 0 0 0 0 0 0 0 0 0 1 -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 0 0 -8 8 0 1 0 -1 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.811847549387 0.521905520568 3 8 4 1 1023 0132 0132 0132 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 -1 1 -8 0 0 8 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.014960142392 0.553168609972 2 7 10 10 0132 0132 1302 0132 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 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.599628372992 0.345218070944 6 5 3 2 1023 1023 0321 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 0 0 0 0 0 0 0 -1 1 0 0 -9 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.444325096709 0.904184286089 8 4 8 5 2031 0132 0132 1023 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 9 -8 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.221306371903 0.480099709676 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : d['c_0110_5'], 'c_1001_7' : d['c_1001_10'], 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0110_10'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_7'], 'c_1001_2' : d['c_0110_5'], 'c_1001_9' : d['c_0101_5'], 'c_1001_8' : d['c_0110_10'], 'c_1010_10' : d['c_0110_5'], '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_10'], 's_2_0' : d['1'], 's_2_1' : negation(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' : negation(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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0101_7'], 'c_1100_8' : d['c_0101_10'], 'c_1100_5' : negation(d['c_0101_10']), 'c_1100_4' : d['c_0101_5'], 'c_1100_7' : d['c_0101_5'], 'c_1100_6' : d['c_0101_5'], 'c_1100_1' : d['c_0101_5'], 'c_1100_0' : d['c_0101_5'], 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : d['c_0101_7'], 'c_1100_10' : d['c_0101_10'], 'c_1010_7' : d['c_0110_10'], 'c_1010_6' : d['c_0101_10'], 'c_1010_5' : d['c_0110_10'], 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_3']), 'c_1010_0' : d['c_0110_5'], 'c_1010_9' : d['c_0110_5'], 'c_1010_8' : d['c_1001_10'], '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' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : negation(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_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : d['c_0011_0'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_0']), 'c_0011_6' : d['c_0011_0'], '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_0110_10'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_3']), 'c_0101_8' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0101_10'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_10']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_7'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_3']})} 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_10, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_5, c_0101_7, c_0110_10, c_0110_5, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 1911208080490953313/2260277886062846100*c_1001_10^11 - 5390500239424564267/2260277886062846100*c_1001_10^10 - 12914158097924087387/753425962020948700*c_1001_10^9 + 80226589855299196613/2260277886062846100*c_1001_10^8 - 1504239112601320459/376712981010474350*c_1001_10^7 - 65092537650799372543/753425962020948700*c_1001_10^6 + 1204518271501201549/51369951955973775*c_1001_10^5 + 277745708137485367529/2260277886062846100*c_1001_10^4 - 17780930705877701281/753425962020948700*c_1001_10^3 + 61840234329086310623/565069471515711525*c_1001_10^2 - 4850622101169258923/13782182232090525*c_1001_10 + 359759301219894837697/2260277886062846100, c_0011_0 - 1, c_0011_10 - 7930527058353/367524859522414*c_1001_10^11 + 45038682400389/735049719044828*c_1001_10^10 + 321570352009871/735049719044828*c_1001_10^9 - 673784414723209/735049719044828*c_1001_10^8 + 36667885150013/367524859522414*c_1001_10^7 + 813799102186929/367524859522414*c_1001_10^6 - 12903179028543/16705675432837*c_1001_10^5 - 2193233271879607/735049719044828*c_1001_10^4 + 412108140122365/735049719044828*c_1001_10^3 - 1068985269284029/367524859522414*c_1001_10^2 + 6598023516490025/735049719044828*c_1001_10 - 3072110339899643/735049719044828, c_0101_0 + 1250608311120/183762429761207*c_1001_10^11 - 8949187712389/735049719044828*c_1001_10^10 - 116139138490153/735049719044828*c_1001_10^9 + 102807122023557/735049719044828*c_1001_10^8 + 98636968410595/367524859522414*c_1001_10^7 - 115949657390714/183762429761207*c_1001_10^6 - 15559098301679/33411350865674*c_1001_10^5 + 684983498016551/735049719044828*c_1001_10^4 + 849823907106145/735049719044828*c_1001_10^3 + 353454475729127/183762429761207*c_1001_10^2 - 1800521000622739/735049719044828*c_1001_10 - 1402549499184421/735049719044828, c_0101_1 + 1535008795217/66822701731348*c_1001_10^11 - 4676901132503/66822701731348*c_1001_10^10 - 30679584126005/66822701731348*c_1001_10^9 + 36270572245195/33411350865674*c_1001_10^8 - 4989592568563/33411350865674*c_1001_10^7 - 42013291379906/16705675432837*c_1001_10^6 + 72461955849635/66822701731348*c_1001_10^5 + 270471514331209/66822701731348*c_1001_10^4 - 19204656690671/16705675432837*c_1001_10^3 + 161685609678203/66822701731348*c_1001_10^2 - 722583310448713/66822701731348*c_1001_10 + 95246279325384/16705675432837, c_0101_10 - 11779996098653/735049719044828*c_1001_10^11 + 31063073062155/735049719044828*c_1001_10^10 + 244723660325503/735049719044828*c_1001_10^9 - 223316440666237/367524859522414*c_1001_10^8 - 19471306133123/367524859522414*c_1001_10^7 + 282067535832904/183762429761207*c_1001_10^6 - 1499253155123/66822701731348*c_1001_10^5 - 1686516868799977/735049719044828*c_1001_10^4 - 128296828676031/367524859522414*c_1001_10^3 - 1620043809427793/735049719044828*c_1001_10^2 + 4677041906973313/735049719044828*c_1001_10 - 234541533146385/183762429761207, c_0101_3 + 158554047232/183762429761207*c_1001_10^11 - 2900287255083/183762429761207*c_1001_10^10 + 3851855116805/367524859522414*c_1001_10^9 + 120390291484879/367524859522414*c_1001_10^8 - 66016930017441/183762429761207*c_1001_10^7 - 102277540333355/367524859522414*c_1001_10^6 + 22637051018996/16705675432837*c_1001_10^5 + 100914053832257/183762429761207*c_1001_10^4 - 273740924912210/183762429761207*c_1001_10^3 - 109521574183496/183762429761207*c_1001_10^2 - 943207514125023/367524859522414*c_1001_10 + 1290819546386159/367524859522414, c_0101_5 - 1, c_0101_7 - 295063773685/16705675432837*c_1001_10^11 + 3592161231407/66822701731348*c_1001_10^10 + 23255509415329/66822701731348*c_1001_10^9 - 54866553107399/66822701731348*c_1001_10^8 + 7317435282083/33411350865674*c_1001_10^7 + 29540582472845/16705675432837*c_1001_10^6 - 13389618470366/16705675432837*c_1001_10^5 - 178534967869765/66822701731348*c_1001_10^4 + 52382600079143/66822701731348*c_1001_10^3 - 85663327950809/33411350865674*c_1001_10^2 + 532203990507733/66822701731348*c_1001_10 - 299809791536577/66822701731348, c_0110_10 - 295063773685/16705675432837*c_1001_10^11 + 3592161231407/66822701731348*c_1001_10^10 + 23255509415329/66822701731348*c_1001_10^9 - 54866553107399/66822701731348*c_1001_10^8 + 7317435282083/33411350865674*c_1001_10^7 + 29540582472845/16705675432837*c_1001_10^6 - 13389618470366/16705675432837*c_1001_10^5 - 178534967869765/66822701731348*c_1001_10^4 + 52382600079143/66822701731348*c_1001_10^3 - 85663327950809/33411350865674*c_1001_10^2 + 532203990507733/66822701731348*c_1001_10 - 299809791536577/66822701731348, c_0110_5 - 513369470703/735049719044828*c_1001_10^11 - 2553484364991/735049719044828*c_1001_10^10 + 17104701542135/735049719044828*c_1001_10^9 + 32440313052199/367524859522414*c_1001_10^8 - 14726204036758/183762429761207*c_1001_10^7 + 11866187957155/183762429761207*c_1001_10^6 + 25068336114825/66822701731348*c_1001_10^5 + 141376054650801/735049719044828*c_1001_10^4 - 68188001703945/367524859522414*c_1001_10^3 + 197403136745891/735049719044828*c_1001_10^2 - 1036252665315715/735049719044828*c_1001_10 + 222732832097619/367524859522414, c_1001_10^12 - 4*c_1001_10^11 - 17*c_1001_10^10 + 66*c_1001_10^9 - 53*c_1001_10^8 - 98*c_1001_10^7 + 147*c_1001_10^6 + 118*c_1001_10^5 - 196*c_1001_10^4 + 154*c_1001_10^3 - 574*c_1001_10^2 + 674*c_1001_10 - 205 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.170 Total time: 0.380 seconds, Total memory usage: 32.09MB