Magma V2.19-8 Wed Aug 21 2013 01:04:27 on localhost [Seed = 3701130397] Type ? for help. Type -D to quit. Loading file "L14n24289__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n24289 geometric_solution 11.46843352 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 1 0132 0132 0132 1023 1 1 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 -1 1 -1 0 0 1 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.648017408864 1.040209980427 0 4 5 0 0132 0132 0132 1023 1 1 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 1 -1 1 0 0 -1 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.648017408864 1.040209980427 6 0 5 4 0132 0132 1023 1023 1 1 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 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.648017408864 1.040209980427 5 7 4 0 0132 0132 1023 0132 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 -1 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 0.293502378844 0.597611581642 8 1 3 2 0132 0132 1023 1023 1 1 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 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.648017408864 1.040209980427 3 9 2 1 0132 0132 1023 0132 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 1 0 -1 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 0.293502378844 0.597611581642 2 8 10 11 0132 0132 0132 0132 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 0 0 0 0 0 -1 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 0.293502378844 0.597611581642 12 3 10 11 0132 0132 0213 0321 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 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 0.837335451311 0.468971516678 4 6 10 11 0132 0132 1023 1023 1 1 0 0 0 0 1 -1 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 1 5 -6 0 0 0 0 2 0 0 -2 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.293502378844 0.597611581642 12 5 10 11 2310 0132 1302 1230 1 0 0 0 0 0 -1 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 -1 -5 6 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.837335451311 0.468971516678 9 7 8 6 2031 0213 1023 0132 1 1 0 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 1 0 -1 5 0 -5 0 0 0 0 0 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.484147837496 0.492442482800 9 7 6 8 3012 0321 0132 1023 1 1 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 -6 0 0 6 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.443355641165 3.236446365041 7 12 9 12 0132 1302 3201 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 1.188326197266 0.853333165660 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_10'], 'c_1001_10' : d['c_0101_8'], 'c_1001_12' : d['c_0011_10'], 'c_1001_5' : d['c_0101_11'], 'c_1001_4' : d['c_0101_1'], 'c_1001_7' : d['c_0101_8'], 'c_1001_6' : d['c_0101_10'], 'c_1001_1' : d['c_0101_6'], 'c_1001_0' : d['c_0101_8'], 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_0'], 'c_1001_9' : d['c_0101_6'], 'c_1001_8' : d['c_0101_10'], 'c_1010_12' : d['c_0011_12'], 'c_1010_11' : d['c_0101_4'], 'c_1010_10' : d['c_0101_10'], 's_3_11' : 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' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], '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' : 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_1100_9' : d['c_0101_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1100_0']), 'c_1100_4' : negation(d['c_1100_0']), 'c_1100_7' : d['c_0101_10'], 'c_1100_6' : d['c_1100_10'], 'c_1100_1' : negation(d['c_1100_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_0_10' : d['1'], 'c_1100_11' : d['c_1100_10'], 'c_1100_10' : d['c_1100_10'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_4'], 'c_1010_6' : d['c_0101_10'], 'c_1010_5' : d['c_0101_6'], 'c_1010_4' : d['c_0101_6'], 'c_1010_3' : d['c_0101_8'], 'c_1010_2' : d['c_0101_8'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0101_0'], 'c_1010_9' : d['c_0101_11'], 'c_1010_8' : d['c_0101_10'], 'c_1100_8' : negation(d['c_1100_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' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(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' : d['c_0011_12'], 'c_0011_8' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_12']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_12']), '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' : d['c_0011_12'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_10'], 'c_0110_10' : d['c_0101_6'], 'c_0110_12' : d['c_0011_10'], 'c_0101_12' : negation(d['c_0011_11']), 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_10']), 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_11'], 'c_0110_8' : d['c_0101_4'], '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_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : negation(d['c_0011_11']), 'c_0110_6' : d['c_0101_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_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_4, c_0101_6, c_0101_8, c_1100_0, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 3049732485097761410561/135874809015497136*c_1100_10^7 + 41973899991450345081083/2683527478056068436*c_1100_10^6 - 33400773315924991396967/1192678879136030416*c_1100_10^5 + 22997576868027660605221/5367054956112136872*c_1100_10^4 - 63507958991014832404547/5367054956112136872*c_1100_10^3 + 463571113905670682371/2683527478056068436*c_1100_10^2 - 468753022714220079487/2683527478056068436*c_1100_10 + 271425043796389998679/670881869514017109, c_0011_0 - 1, c_0011_10 - 1330436435218153/17962166569568*c_1100_10^7 - 1395767886054889/8981083284784*c_1100_10^6 - 375651855030961/8981083284784*c_1100_10^5 + 65659800695537/4490541642392*c_1100_10^4 - 45876225974497/4490541642392*c_1100_10^3 + 2707544590063/561317705299*c_1100_10^2 + 1608866782153/1122635410598*c_1100_10 - 1432118684143/561317705299, c_0011_11 + 1330436435218153/17962166569568*c_1100_10^7 + 1395767886054889/8981083284784*c_1100_10^6 + 375651855030961/8981083284784*c_1100_10^5 - 65659800695537/4490541642392*c_1100_10^4 + 45876225974497/4490541642392*c_1100_10^3 - 2707544590063/561317705299*c_1100_10^2 - 1608866782153/1122635410598*c_1100_10 + 1432118684143/561317705299, c_0011_12 + 3949438295071133/17962166569568*c_1100_10^7 + 546759208649005/1122635410598*c_1100_10^6 + 525944368369185/2245270821196*c_1100_10^5 + 41609973417011/561317705299*c_1100_10^4 + 37506654675323/1122635410598*c_1100_10^3 - 61029933412531/2245270821196*c_1100_10^2 - 25011588233253/2245270821196*c_1100_10 + 2046394944695/1122635410598, c_0101_0 - 1, c_0101_1 + 36722588233923/8981083284784*c_1100_10^7 - 7710711023011/528299016752*c_1100_10^6 - 150248581094135/4490541642392*c_1100_10^5 + 9274813932311/2245270821196*c_1100_10^4 + 1092576478151/561317705299*c_1100_10^3 + 2036553138875/1122635410598*c_1100_10^2 + 1716723614022/561317705299*c_1100_10 + 51905210767/1122635410598, c_0101_10 - 4244680763987/54762702956*c_1100_10^7 - 37848899331709/219050811824*c_1100_10^6 - 11678403149069/109525405912*c_1100_10^5 - 7307489713929/109525405912*c_1100_10^4 - 1239270044193/54762702956*c_1100_10^3 + 19613334561/54762702956*c_1100_10^2 + 12450502147/13690675739*c_1100_10 + 12480482064/13690675739, c_0101_11 + 692097564485309/8981083284784*c_1100_10^7 + 81674007510263/528299016752*c_1100_10^6 + 136967007644253/2245270821196*c_1100_10^5 + 42248189105539/1122635410598*c_1100_10^4 + 34458339408517/2245270821196*c_1100_10^3 - 5090100838798/561317705299*c_1100_10^2 - 1618769563483/1122635410598*c_1100_10 - 128492793707/1122635410598, c_0101_4 - 134989909043493/4490541642392*c_1100_10^7 - 135935308675369/4490541642392*c_1100_10^6 + 2201455591553/66037377094*c_1100_10^5 + 4957048285769/2245270821196*c_1100_10^4 + 4433579079679/1122635410598*c_1100_10^3 + 9192053855483/1122635410598*c_1100_10^2 - 466856750816/561317705299*c_1100_10 - 58683470453/561317705299, c_0101_6 + 134989909043493/4490541642392*c_1100_10^7 + 135935308675369/4490541642392*c_1100_10^6 - 2201455591553/66037377094*c_1100_10^5 - 4957048285769/2245270821196*c_1100_10^4 - 4433579079679/1122635410598*c_1100_10^3 - 9192053855483/1122635410598*c_1100_10^2 + 466856750816/561317705299*c_1100_10 + 58683470453/561317705299, c_0101_8 - 692097564485309/8981083284784*c_1100_10^7 - 81674007510263/528299016752*c_1100_10^6 - 136967007644253/2245270821196*c_1100_10^5 - 42248189105539/1122635410598*c_1100_10^4 - 34458339408517/2245270821196*c_1100_10^3 + 5090100838798/561317705299*c_1100_10^2 + 1618769563483/1122635410598*c_1100_10 + 128492793707/1122635410598, c_1100_0 + 10771202981581/2245270821196*c_1100_10^7 + 1451455939725/66037377094*c_1100_10^6 + 26167139153885/1122635410598*c_1100_10^5 - 2419533792881/2245270821196*c_1100_10^4 - 3008751146721/1122635410598*c_1100_10^3 - 2481714557247/1122635410598*c_1100_10^2 - 730329464997/561317705299*c_1100_10 - 52305474371/561317705299, c_1100_10^8 + 12540/6241*c_1100_10^7 + 4936/6241*c_1100_10^6 + 2608/6241*c_1100_10^5 + 716/6241*c_1100_10^4 - 576/6241*c_1100_10^3 - 128/6241*c_1100_10^2 - 32/6241*c_1100_10 + 16/6241 ], 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_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_4, c_0101_6, c_0101_8, c_1100_0, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 159909546367503/652485151816064*c_1100_10^7 - 27489114803257/163121287954016*c_1100_10^6 + 2443257033714769/652485151816064*c_1100_10^5 - 95382837456265/163121287954016*c_1100_10^4 + 3781038688525159/652485151816064*c_1100_10^3 - 1749861884544441/652485151816064*c_1100_10^2 - 14328529424423/7587036649024*c_1100_10 + 1054110420140745/652485151816064, c_0011_0 - 1, c_0011_10 - 60733/379793*c_1100_10^7 - 30636/379793*c_1100_10^6 - 924304/379793*c_1100_10^5 - 984298/379793*c_1100_10^4 - 1949324/379793*c_1100_10^3 - 1689120/379793*c_1100_10^2 + 78830/379793*c_1100_10 + 60044/379793, c_0011_11 + 36685/379793*c_1100_10^7 + 106323/379793*c_1100_10^6 + 551798/379793*c_1100_10^5 + 1946025/379793*c_1100_10^4 + 1809273/379793*c_1100_10^3 + 3614169/379793*c_1100_10^2 + 1072058/379793*c_1100_10 - 536110/379793, c_0011_12 - 67201/379793*c_1100_10^7 + 17580/379793*c_1100_10^6 - 1035486/379793*c_1100_10^5 - 276284/379793*c_1100_10^4 - 1933738/379793*c_1100_10^3 - 180368/379793*c_1100_10^2 + 255713/379793*c_1100_10 - 147218/379793, c_0101_0 - 1, c_0101_1 - 1, c_0101_10 - 3234/379793*c_1100_10^7 + 24108/379793*c_1100_10^6 - 55591/379793*c_1100_10^5 + 354007/379793*c_1100_10^4 + 7793/379793*c_1100_10^3 + 754376/379793*c_1100_10^2 + 278338/379793*c_1100_10 - 103631/379793, c_0101_11 + 67201/379793*c_1100_10^7 - 17580/379793*c_1100_10^6 + 1035486/379793*c_1100_10^5 + 276284/379793*c_1100_10^4 + 1933738/379793*c_1100_10^3 + 180368/379793*c_1100_10^2 - 255713/379793*c_1100_10 - 232575/379793, c_0101_4 + 67201/379793*c_1100_10^7 - 17580/379793*c_1100_10^6 + 1035486/379793*c_1100_10^5 + 276284/379793*c_1100_10^4 + 1933738/379793*c_1100_10^3 + 180368/379793*c_1100_10^2 - 255713/379793*c_1100_10 - 232575/379793, c_0101_6 + 18248/379793*c_1100_10^7 + 2076/379793*c_1100_10^6 + 292771/379793*c_1100_10^5 + 173214/379793*c_1100_10^4 + 718667/379793*c_1100_10^3 + 258166/379793*c_1100_10^2 - 35392/379793*c_1100_10 - 203263/379793, c_0101_8 + 18248/379793*c_1100_10^7 + 2076/379793*c_1100_10^6 + 292771/379793*c_1100_10^5 + 173214/379793*c_1100_10^4 + 718667/379793*c_1100_10^3 + 258166/379793*c_1100_10^2 - 35392/379793*c_1100_10 - 203263/379793, c_1100_0 - 18248/379793*c_1100_10^7 - 2076/379793*c_1100_10^6 - 292771/379793*c_1100_10^5 - 173214/379793*c_1100_10^4 - 718667/379793*c_1100_10^3 - 258166/379793*c_1100_10^2 + 35392/379793*c_1100_10 - 176530/379793, c_1100_10^8 + 15*c_1100_10^6 + 8*c_1100_10^5 + 25*c_1100_10^4 + 5*c_1100_10^3 - 10*c_1100_10^2 - c_1100_10 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.290 Total time: 0.500 seconds, Total memory usage: 32.09MB