Magma V2.19-8 Wed Aug 21 2013 01:04:57 on localhost [Seed = 1225740584] Type ? for help. Type -D to quit. Loading file "L14n24905__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n24905 geometric_solution 12.53990698 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 1 1 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 -1 1 0 1 0 -1 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 0.382160090769 0.580883946680 0 3 6 5 0132 1023 0132 0132 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 0 0 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 -0.013946993718 1.153304702448 7 0 6 8 0132 0132 1023 0132 1 1 0 1 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.120794271589 0.842367002383 1 7 9 0 1023 0132 0132 0132 1 1 0 1 0 0 -1 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 0 1 -1 0 0 -1 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 0.534150993309 1.136588885858 10 7 0 11 0132 0321 0132 0132 1 1 1 1 0 0 -1 1 0 0 0 0 0 1 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 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.874035802385 0.885627190802 11 11 1 8 0132 1302 0132 1023 1 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 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 0.300550719597 0.878984397690 10 10 2 1 3120 0132 1023 0132 1 1 1 1 0 0 0 0 0 0 0 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 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 0.418036161782 0.797428204980 2 3 12 4 0132 0132 0132 0321 1 1 1 0 0 0 0 0 0 0 -1 1 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 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 0.474935277871 1.065719282248 9 12 2 5 2103 0132 0132 1023 1 1 1 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 -1 1 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.715836972198 0.985613275860 12 11 8 3 0132 0132 2103 0132 1 1 1 0 0 0 -1 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 0 1 -1 -1 0 0 1 0 0 0 0 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.085540448783 0.850668129123 4 6 12 6 0132 0132 1023 3120 1 1 1 1 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 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 0.485425628278 0.540472913670 5 9 4 5 0132 0132 0132 2031 1 1 0 1 0 0 -1 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 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 0.554307749850 0.696587840302 9 8 10 7 0132 0132 1023 0132 1 1 0 1 0 0 0 0 0 0 -1 1 -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 1 0 0 -1 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.716554946443 0.639157762179 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_0101_12'], 'c_1001_12' : d['c_0101_10'], 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : d['c_0101_6'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0011_10'], 'c_1001_1' : d['c_0101_12'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_11'], 'c_1001_2' : d['c_0101_6'], 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_1001_0'], 'c_1010_11' : negation(d['c_0011_11']), 'c_1010_10' : d['c_0011_10'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(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' : negation(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' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : negation(d['c_0110_8']), 'c_1100_7' : d['c_0101_6'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0110_8']), 'c_1100_3' : negation(d['c_0110_8']), 'c_1100_2' : negation(d['c_1100_1']), 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0110_8']), 'c_1100_11' : negation(d['c_0110_8']), 'c_1100_10' : negation(d['c_0101_6']), 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_11'], 'c_1010_6' : d['c_0101_12'], 'c_1010_5' : d['c_0110_8'], 'c_1010_4' : d['c_1001_11'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : d['c_0101_6'], 'c_1010_9' : d['c_1001_11'], 'c_1010_8' : d['c_0101_10'], 'c_1100_8' : negation(d['c_1100_1']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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_0101_6'], 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(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' : d['1'], 'c_0011_9' : negation(d['c_0011_11']), 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_10']), '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_11' : d['c_0101_0'], 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : d['c_0101_7'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_12'], 'c_0101_2' : d['c_0011_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_7'], 'c_0101_8' : d['c_0101_7'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_12'], 'c_0110_8' : d['c_0110_8'], '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' : d['c_0101_10'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0011_10'], 'c_0110_6' : d['c_0101_1'], 's_2_9' : d['1']})} 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_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_6, c_0101_7, c_0110_8, c_1001_0, c_1001_11, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 1227082419192961559364949/139094887282545542975*c_1100_1^10 + 1076035137994280958394723/139094887282545542975*c_1100_1^9 + 52214762622849770156768/665525776471509775*c_1100_1^8 - 14745176005897832081411483/139094887282545542975*c_1100_1^7 - 41209596079886029073864684/139094887282545542975*c_1100_1^6 + 29875621206356820993018026/27818977456509108595*c_1100_1^5 - 208301829004873857290257914/139094887282545542975*c_1100_1^4 + 161720200318546629363682424/139094887282545542975*c_1100_1^3 - 2928263855558440901614855/5563795491301821719*c_1100_1^2 + 967354207041830106630007/7320783541186607525*c_1100_1 - 2087174252915816985034787/139094887282545542975, c_0011_0 - 1, c_0011_10 + 417930205300332372/26621031058860391*c_1100_1^10 + 319634481069733098/26621031058860391*c_1100_1^9 - 2962658800570049815/26621031058860391*c_1100_1^8 + 575563184219183124/26621031058860391*c_1100_1^7 + 13737831796412895695/26621031058860391*c_1100_1^6 - 29417200688605912402/26621031058860391*c_1100_1^5 + 29343399439564561354/26621031058860391*c_1100_1^4 - 15759483295217741924/26621031058860391*c_1100_1^3 + 4182795363381585950/26621031058860391*c_1100_1^2 - 332442083325827171/26621031058860391*c_1100_1 - 24570284057292871/26621031058860391, c_0011_11 - 2240966712303418329/346073403765185083*c_1100_1^10 - 17434028104020530/346073403765185083*c_1100_1^9 + 18077959099785523684/346073403765185083*c_1100_1^8 - 13591829087549026526/346073403765185083*c_1100_1^7 - 76352222881594628188/346073403765185083*c_1100_1^6 + 209685439281419537838/346073403765185083*c_1100_1^5 - 250754390983644062731/346073403765185083*c_1100_1^4 + 166064349427129397622/346073403765185083*c_1100_1^3 - 60297167043101655391/346073403765185083*c_1100_1^2 + 10038198314600064812/346073403765185083*c_1100_1 - 318818072783326785/346073403765185083, c_0101_0 + 586773211116640563/346073403765185083*c_1100_1^10 + 903077654217017811/346073403765185083*c_1100_1^9 - 3393660983681512002/346073403765185083*c_1100_1^8 - 2078007767953718694/346073403765185083*c_1100_1^7 + 16629360638443833170/346073403765185083*c_1100_1^6 - 26566139216958142848/346073403765185083*c_1100_1^5 + 24808620578578987107/346073403765185083*c_1100_1^4 - 16546143794609599020/346073403765185083*c_1100_1^3 + 8088832893019363298/346073403765185083*c_1100_1^2 - 1825548937819232596/346073403765185083*c_1100_1 + 40802107077408674/346073403765185083, c_0101_1 - 1, c_0101_10 + 87303955724348461/26621031058860391*c_1100_1^10 + 14808354190131969/26621031058860391*c_1100_1^9 - 648111770006471500/26621031058860391*c_1100_1^8 + 506793962889074041/26621031058860391*c_1100_1^7 + 2717094872562529966/26621031058860391*c_1100_1^6 - 7969682949793187575/26621031058860391*c_1100_1^5 + 10141983722181999451/26621031058860391*c_1100_1^4 - 7143544753187535350/26621031058860391*c_1100_1^3 + 2739105538892153626/26621031058860391*c_1100_1^2 - 485260476379611281/26621031058860391*c_1100_1 + 24212130299463674/26621031058860391, c_0101_12 - 278078018447052635/26621031058860391*c_1100_1^10 - 130366761999956835/26621031058860391*c_1100_1^9 + 2062128677361831490/26621031058860391*c_1100_1^8 - 938865687583795154/26621031058860391*c_1100_1^7 - 9235454483264583762/26621031058860391*c_1100_1^6 + 22235529104530869899/26621031058860391*c_1100_1^5 - 24328967853495675091/26621031058860391*c_1100_1^4 + 14646944979033645657/26621031058860391*c_1100_1^3 - 4717909638377179643/26621031058860391*c_1100_1^2 + 661779541993217494/26621031058860391*c_1100_1 - 27885531459889005/26621031058860391, c_0101_6 - 110424040535425810/26621031058860391*c_1100_1^10 + 1859680084231792/26621031058860391*c_1100_1^9 + 874167243640180953/26621031058860391*c_1100_1^8 - 723337641707390287/26621031058860391*c_1100_1^7 - 3665648200562583698/26621031058860391*c_1100_1^6 + 10496719855160775341/26621031058860391*c_1100_1^5 - 13045115466560514068/26621031058860391*c_1100_1^4 + 9154779767151824607/26621031058860391*c_1100_1^3 - 3705090575791165868/26621031058860391*c_1100_1^2 + 781461622524892081/26621031058860391*c_1100_1 - 46769617870139950/26621031058860391, c_0101_7 + 2629384981343813743/346073403765185083*c_1100_1^10 + 1040107641589674646/346073403765185083*c_1100_1^9 - 20050173841761366312/346073403765185083*c_1100_1^8 + 9668061860359705987/346073403765185083*c_1100_1^7 + 89648139439376516251/346073403765185083*c_1100_1^6 - 215183490489366090113/346073403765185083*c_1100_1^5 + 230881939880737129924/346073403765185083*c_1100_1^4 - 132660253655155992903/346073403765185083*c_1100_1^3 + 38470406764858494938/346073403765185083*c_1100_1^2 - 3643363120811286071/346073403765185083*c_1100_1 - 124689644452770264/346073403765185083, c_0110_8 - 16085135479366590/26621031058860391*c_1100_1^10 - 36065645141534701/26621031058860391*c_1100_1^9 + 139120841781086559/26621031058860391*c_1100_1^8 + 216525913258804678/26621031058860391*c_1100_1^7 - 832513752410350401/26621031058860391*c_1100_1^6 + 127047359783401496/26621031058860391*c_1100_1^5 + 1901533465434900873/26621031058860391*c_1100_1^4 - 2763496201446535713/26621031058860391*c_1100_1^3 + 1635308604857317154/26621031058860391*c_1100_1^2 - 394476556153747132/26621031058860391*c_1100_1 + 19420361301287271/26621031058860391, c_1001_0 + 1150203871849782132/346073403765185083*c_1100_1^10 + 1270504291828401211/346073403765185083*c_1100_1^9 - 8220377738063304605/346073403765185083*c_1100_1^8 - 1902625686343425465/346073403765185083*c_1100_1^7 + 40445437300372004987/346073403765185083*c_1100_1^6 - 65382517615032904385/346073403765185083*c_1100_1^5 + 42510835227393961104/346073403765185083*c_1100_1^4 - 5634547785136454800/346073403765185083*c_1100_1^3 - 6330008412855363147/346073403765185083*c_1100_1^2 + 2800645236783551962/346073403765185083*c_1100_1 - 249807284432908302/346073403765185083, c_1001_11 - 27278434451285719/26621031058860391*c_1100_1^10 + 34727662653224788/26621031058860391*c_1100_1^9 + 253896859956290780/26621031058860391*c_1100_1^8 - 411033225533562163/26621031058860391*c_1100_1^7 - 940977470839630502/26621031058860391*c_1100_1^6 + 3720949888722036684/26621031058860391*c_1100_1^5 - 5246224680354045650/26621031058860391*c_1100_1^4 + 3914527504762778762/26621031058860391*c_1100_1^3 - 1493427558445930502/26621031058860391*c_1100_1^2 + 167676023607235942/26621031058860391*c_1100_1 + 38985649922331399/26621031058860391, c_1100_1^11 + 4/67*c_1100_1^10 - 507/67*c_1100_1^9 + 430/67*c_1100_1^8 + 2108/67*c_1100_1^7 - 6262/67*c_1100_1^6 + 8162/67*c_1100_1^5 - 6139/67*c_1100_1^4 + 2762/67*c_1100_1^3 - 704/67*c_1100_1^2 + 85/67*c_1100_1 - 1/67 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.680 Total time: 0.890 seconds, Total memory usage: 32.09MB