Magma V2.19-8 Wed Aug 21 2013 01:08:00 on localhost [Seed = 2530250663] Type ? for help. Type -D to quit. Loading file "L14n38116__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n38116 geometric_solution 11.42000125 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 0 0 1 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 -1 1 0 -1 0 1 0 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.067327808685 0.596225913317 0 5 7 6 0132 0132 0132 0132 1 0 1 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 1 0 -1 0 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.190081469447 1.098409088343 5 0 9 8 0132 0132 0132 0132 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 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 0.756629006669 0.692226318124 6 5 10 0 3201 3201 0132 0132 1 0 1 0 0 -1 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 0 0 0 1 0 -1 1 0 0 -1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.302074718016 0.488996751383 10 11 0 10 0213 0132 0132 0132 1 0 0 0 0 1 -1 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 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.120407710363 1.191473880401 2 1 3 7 0132 0132 2310 0132 1 0 0 1 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 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.280541615940 0.658219581660 11 11 1 3 0321 1230 0132 2310 1 0 0 1 0 0 0 0 0 0 0 0 1 0 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 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 0.838902100186 1.199903008792 12 9 5 1 0132 0213 0132 0132 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 0 0 0 0 0 0 1 -1 0 -1 0 0 1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.260483900025 1.466925841852 10 11 2 9 1230 0321 0132 0321 1 0 0 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 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 1.152966639736 0.883936492011 12 8 7 2 3120 0321 0213 0132 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 0 0 0 0 0 0 0 -1 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 0 0 0.882650282820 0.660859779236 4 8 4 3 0213 3012 0132 0132 1 0 0 0 0 0 0 0 -1 0 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 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 0.470716369653 1.091126624777 6 4 6 8 0321 0132 3012 0321 1 1 0 0 0 -1 1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.608634139765 0.559780543082 7 12 12 9 0132 1230 3012 3120 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 0.327723992129 0.450159654542 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_6']), 'c_1001_10' : negation(d['c_0011_6']), 'c_1001_12' : negation(d['c_0011_12']), 'c_1001_5' : negation(d['c_1001_0']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_1'], 'c_1001_6' : negation(d['c_1001_0']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_1'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_0011_10'], 'c_1010_11' : d['c_1001_2'], 'c_1010_10' : negation(d['c_0101_5']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0101_0']), 'c_0101_10' : negation(d['c_0011_11']), '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_12' : negation(d['1']), 's_2_10' : d['1'], 's_2_11' : 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_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_1001_1'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0011_3'], 'c_1100_6' : d['c_0011_3'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1001_1'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_0'], 'c_1100_10' : d['c_1100_0'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : negation(d['c_0101_0']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_0']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_1001_2'], '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'], 'c_1100_12' : d['c_0011_12'], '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' : negation(d['c_0011_10']), 'c_0011_8' : d['c_0011_6'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : negation(d['c_0011_12']), '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_0110_11' : negation(d['c_0011_6']), 'c_0110_10' : d['c_0011_11'], 'c_0110_12' : d['c_0101_2'], 'c_0101_12' : d['c_0011_10'], 'c_0110_0' : d['c_0011_10'], 'c_0101_7' : d['c_0101_2'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_10'], 'c_0101_3' : d['c_0011_11'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_10'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_12']), 'c_0101_8' : d['c_0101_5'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0011_10'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1001_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0011_11']), 'c_0110_7' : d['c_0011_10'], 'c_0110_6' : negation(d['c_0011_11'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0011_6, c_0101_0, c_0101_2, c_0101_5, c_1001_0, c_1001_1, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 45833852571241236714615/15379742248926319407436*c_1100_0^12 + 93710385790443990903841/69208840120168437333462*c_1100_0^11 + 1095515162467639680752231/69208840120168437333462*c_1100_0^10 + 1112195923394854119815599/15379742248926319407436*c_1100_0^9 + 21896116923234328207541447/138417680240336874666924*c_1100_0^8 + 13364481489680639794683707/46139226746778958222308*c_1100_0^7 + 5002818280153136975985956/11534806686694739555577*c_1100_0^6 + 2016245941912933979528100/3844935562231579851859*c_1100_0^5 + 12207031219263635956905001/23069613373389479111154*c_1100_0^4 + 14406730196981771189079896/34604420060084218666731*c_1100_0^3 + 1893782581788260107156795/7689871124463159703718*c_1100_0^2 + 15465476595813436134286649/138417680240336874666924*c_1100_0 + 3835102106288107580341801/138417680240336874666924, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 - 345889466113882639/12779179267907203496*c_1100_0^12 + 69290378342394457/6389589633953601748*c_1100_0^11 + 1425879992998343015/6389589633953601748*c_1100_0^10 + 7401592699572842587/12779179267907203496*c_1100_0^9 + 12692806916244813723/12779179267907203496*c_1100_0^8 + 15846959307666528805/12779179267907203496*c_1100_0^7 + 4612759699770619607/3194794816976800874*c_1100_0^6 + 3744598037873516687/3194794816976800874*c_1100_0^5 - 2090881646872490371/6389589633953601748*c_1100_0^4 - 1566738244700610068/1597397408488400437*c_1100_0^3 - 7376051700984685611/6389589633953601748*c_1100_0^2 - 18982363339458872351/12779179267907203496*c_1100_0 - 4124482824492438975/12779179267907203496, c_0011_12 + 1689200115752075199/6389589633953601748*c_1100_0^12 - 4458972857408538781/6389589633953601748*c_1100_0^11 - 4294333442308878101/6389589633953601748*c_1100_0^10 - 11538688312649024267/3194794816976800874*c_1100_0^9 - 16296407004502853005/6389589633953601748*c_1100_0^8 - 10134144644250293146/1597397408488400437*c_1100_0^7 - 8315544328973896519/1597397408488400437*c_1100_0^6 - 4232242067381868609/1597397408488400437*c_1100_0^5 - 5490631916266026065/3194794816976800874*c_1100_0^4 + 3267745931781996479/3194794816976800874*c_1100_0^3 - 140438225628014332/1597397408488400437*c_1100_0^2 - 3734324875935561269/6389589633953601748*c_1100_0 + 1915907174474670597/1597397408488400437, c_0011_3 - 1040748632687197590/1597397408488400437*c_1100_0^12 + 790142891713900947/1597397408488400437*c_1100_0^11 + 5874241551919424932/1597397408488400437*c_1100_0^10 + 22585169819846668435/1597397408488400437*c_1100_0^9 + 45333478013247501371/1597397408488400437*c_1100_0^8 + 76951205448002346521/1597397408488400437*c_1100_0^7 + 112641390874888241226/1597397408488400437*c_1100_0^6 + 124728062251230947751/1597397408488400437*c_1100_0^5 + 117719630629086481167/1597397408488400437*c_1100_0^4 + 85253660389626992002/1597397408488400437*c_1100_0^3 + 48269681291591264798/1597397408488400437*c_1100_0^2 + 22728450854648084099/1597397408488400437*c_1100_0 + 7817708663225949796/1597397408488400437, c_0011_6 + 326908169549429195/1597397408488400437*c_1100_0^12 - 75066208286708601/1597397408488400437*c_1100_0^11 - 2005647706079342355/1597397408488400437*c_1100_0^10 - 8142973908502275755/1597397408488400437*c_1100_0^9 - 17736445715748886190/1597397408488400437*c_1100_0^8 - 30484698468042708193/1597397408488400437*c_1100_0^7 - 45167959857671048641/1597397408488400437*c_1100_0^6 - 52587750039816298488/1597397408488400437*c_1100_0^5 - 50527948385110528380/1597397408488400437*c_1100_0^4 - 36553584565410673825/1597397408488400437*c_1100_0^3 - 20990109367861029100/1597397408488400437*c_1100_0^2 - 8575834314006599913/1597397408488400437*c_1100_0 - 2968265518827724857/1597397408488400437, c_0101_0 + 326908169549429195/1597397408488400437*c_1100_0^12 - 75066208286708601/1597397408488400437*c_1100_0^11 - 2005647706079342355/1597397408488400437*c_1100_0^10 - 8142973908502275755/1597397408488400437*c_1100_0^9 - 17736445715748886190/1597397408488400437*c_1100_0^8 - 30484698468042708193/1597397408488400437*c_1100_0^7 - 45167959857671048641/1597397408488400437*c_1100_0^6 - 52587750039816298488/1597397408488400437*c_1100_0^5 - 50527948385110528380/1597397408488400437*c_1100_0^4 - 36553584565410673825/1597397408488400437*c_1100_0^3 - 20990109367861029100/1597397408488400437*c_1100_0^2 - 8575834314006599913/1597397408488400437*c_1100_0 - 2968265518827724857/1597397408488400437, c_0101_2 + 4044316013965024785/6389589633953601748*c_1100_0^12 - 1768835645217801643/6389589633953601748*c_1100_0^11 - 23269285304085904895/6389589633953601748*c_1100_0^10 - 48708868365858655691/3194794816976800874*c_1100_0^9 - 204870972089568680091/6389589633953601748*c_1100_0^8 - 89610143408285462919/1597397408488400437*c_1100_0^7 - 130424321248121951830/1597397408488400437*c_1100_0^6 - 152247143422264581754/1597397408488400437*c_1100_0^5 - 286041477379734815921/3194794816976800874*c_1100_0^4 - 209754772167810894585/3194794816976800874*c_1100_0^3 - 56420600843460780867/1597397408488400437*c_1100_0^2 - 94874887033341969227/6389589633953601748*c_1100_0 - 7971719860153859871/1597397408488400437, c_0101_5 - 1, c_1001_0 - 286008747290668064/1597397408488400437*c_1100_0^12 - 50092625204171426/1597397408488400437*c_1100_0^11 + 2215335885469582480/1597397408488400437*c_1100_0^10 + 6888985055053905208/1597397408488400437*c_1100_0^9 + 17013157293081795118/1597397408488400437*c_1100_0^8 + 25972411120297378162/1597397408488400437*c_1100_0^7 + 42562991914046444896/1597397408488400437*c_1100_0^6 + 45903269324793668730/1597397408488400437*c_1100_0^5 + 45464827484471302036/1597397408488400437*c_1100_0^4 + 33699739595648574954/1597397408488400437*c_1100_0^3 + 19035716103487777339/1597397408488400437*c_1100_0^2 + 9959911238732498039/1597397408488400437*c_1100_0 + 3350149069399544166/1597397408488400437, c_1001_1 + 17410390357721231/1597397408488400437*c_1100_0^12 - 148361416832325180/1597397408488400437*c_1100_0^11 - 124151611561421951/1597397408488400437*c_1100_0^10 + 677765226978751613/1597397408488400437*c_1100_0^9 + 2492278101039276047/1597397408488400437*c_1100_0^8 + 6780271479533000116/1597397408488400437*c_1100_0^7 + 10374647006490504431/1597397408488400437*c_1100_0^6 + 18083341174389507092/1597397408488400437*c_1100_0^5 + 19718659099047676547/1597397408488400437*c_1100_0^4 + 20080677364675032758/1597397408488400437*c_1100_0^3 + 15149008585954597987/1597397408488400437*c_1100_0^2 + 7841943525629887966/1597397408488400437*c_1100_0 + 3837066890357867542/1597397408488400437, c_1001_2 - 1040748632687197590/1597397408488400437*c_1100_0^12 + 790142891713900947/1597397408488400437*c_1100_0^11 + 5874241551919424932/1597397408488400437*c_1100_0^10 + 22585169819846668435/1597397408488400437*c_1100_0^9 + 45333478013247501371/1597397408488400437*c_1100_0^8 + 76951205448002346521/1597397408488400437*c_1100_0^7 + 112641390874888241226/1597397408488400437*c_1100_0^6 + 124728062251230947751/1597397408488400437*c_1100_0^5 + 117719630629086481167/1597397408488400437*c_1100_0^4 + 85253660389626992002/1597397408488400437*c_1100_0^3 + 48269681291591264798/1597397408488400437*c_1100_0^2 + 22728450854648084099/1597397408488400437*c_1100_0 + 7817708663225949796/1597397408488400437, c_1100_0^13 - 4/13*c_1100_0^12 - 74/13*c_1100_0^11 - 321/13*c_1100_0^10 - 711/13*c_1100_0^9 - 1289/13*c_1100_0^8 - 150*c_1100_0^7 - 2388/13*c_1100_0^6 - 2414/13*c_1100_0^5 - 1980/13*c_1100_0^4 - 1270/13*c_1100_0^3 - 655/13*c_1100_0^2 - 257/13*c_1100_0 - 58/13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.160 Total time: 0.370 seconds, Total memory usage: 32.09MB