Magma V2.19-8 Tue Aug 20 2013 16:16:19 on localhost [Seed = 3187417438] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0592 geometric_solution 4.60691892 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 1 0 0 0132 3201 2031 1302 0 0 0 0 0 -1 1 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 1 0 -1 0 0 1 -1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.390405070969 0.054377870293 0 2 0 2 0132 0132 2310 2310 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 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 -1.165756972355 1.058833510567 1 1 3 4 3201 0132 0132 0132 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 0 0 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 0.237631678085 0.994930970048 4 5 4 2 1302 0132 2031 0132 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 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 0.591890454562 0.395094729449 5 3 2 3 0132 2031 0132 1302 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 0 0 0 0 0 1 -1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.591890454562 0.395094729449 4 3 6 6 0132 0132 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.607563283867 1.069291621313 5 6 6 5 3201 3201 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.779358997726 0.453553104980 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], '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_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_0_6' : 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_6' : d['c_0011_6'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : negation(d['c_0101_4']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_3'], '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' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : d['c_0101_0'], 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : negation(d['c_0101_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_0']), 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0101_4']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : negation(d['c_0101_4']), 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : negation(d['c_0101_4']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 12*c_0101_5^4 - 31*c_0101_5^3 + 41*c_0101_5^2 + 47*c_0101_5 - 15, c_0011_0 - 1, c_0011_3 + c_0101_5^4 + 2*c_0101_5^3 - 5*c_0101_5^2 - 3*c_0101_5 + 3, c_0011_6 - 1, c_0101_0 - c_0101_5, c_0101_1 - 2*c_0101_5^4 - 5*c_0101_5^3 + 7*c_0101_5^2 + 7*c_0101_5 - 4, c_0101_4 - 2*c_0101_5^4 - 5*c_0101_5^3 + 8*c_0101_5^2 + 8*c_0101_5 - 5, c_0101_5^5 + 2*c_0101_5^4 - 5*c_0101_5^3 - 2*c_0101_5^2 + 4*c_0101_5 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 20485375752254268645/245444367291740993*c_0101_5^14 - 63437822510846855408/245444367291740993*c_0101_5^13 + 39754065894244858307/245444367291740993*c_0101_5^12 + 104535266463771660569/245444367291740993*c_0101_5^11 + 70446547677508455764/245444367291740993*c_0101_5^10 - 616197263960769226727/245444367291740993*c_0101_5^9 + 180072092500224478117/245444367291740993*c_0101_5^8 + 484163164107081833171/245444367291740993*c_0101_5^7 + 279578010006361039618/245444367291740993*c_0101_5^6 + 52748261832990245368/245444367291740993*c_0101_5^5 - 336687856379430412826/245444367291740993*c_0101_5^4 - 401453348775093112504/245444367291740993*c_0101_5^3 - 60962241647770671749/245444367291740993*c_0101_5^2 + 96099479046103973101/245444367291740993*c_0101_5 + 28317000453212453259/245444367291740993, c_0011_0 - 1, c_0011_3 - 421953810801158215/736333101875222979*c_0101_5^14 + 1750178622934725346/736333101875222979*c_0101_5^13 - 2327666653627459783/736333101875222979*c_0101_5^12 - 268838907901249054/245444367291740993*c_0101_5^11 + 338863160805101489/736333101875222979*c_0101_5^10 + 13694621390385635081/736333101875222979*c_0101_5^9 - 17232177441305466052/736333101875222979*c_0101_5^8 - 599603190671787884/245444367291740993*c_0101_5^7 + 1631734231264313804/736333101875222979*c_0101_5^6 + 2736716043660743315/736333101875222979*c_0101_5^5 + 7211534389586249093/736333101875222979*c_0101_5^4 + 1127956331933456497/736333101875222979*c_0101_5^3 - 4644351736166958638/736333101875222979*c_0101_5^2 - 1279891184493469426/736333101875222979*c_0101_5 + 611438779494003740/736333101875222979, c_0011_6 + 993375342915525715/736333101875222979*c_0101_5^14 - 3708740314036377016/736333101875222979*c_0101_5^13 + 4178599069163582626/736333101875222979*c_0101_5^12 + 956524423114445805/245444367291740993*c_0101_5^11 + 1036628190185983918/736333101875222979*c_0101_5^10 - 30907992378624553493/736333101875222979*c_0101_5^9 + 28593380337271300702/736333101875222979*c_0101_5^8 + 3037456882902007524/245444367291740993*c_0101_5^7 + 3569756876374288615/736333101875222979*c_0101_5^6 - 1558951104696899318/736333101875222979*c_0101_5^5 - 14852095152758763776/736333101875222979*c_0101_5^4 - 9241139529738581224/736333101875222979*c_0101_5^3 + 5485773277477898531/736333101875222979*c_0101_5^2 + 2658398587321324822/736333101875222979*c_0101_5 - 859397533497702878/736333101875222979, c_0101_0 + 347810955754634195/736333101875222979*c_0101_5^14 - 1379529080816571518/736333101875222979*c_0101_5^13 + 1780783367231445758/736333101875222979*c_0101_5^12 + 191292221484096098/245444367291740993*c_0101_5^11 + 317042290867653878/736333101875222979*c_0101_5^10 - 11064597549867757405/736333101875222979*c_0101_5^9 + 12626162741835521960/736333101875222979*c_0101_5^8 + 81435449260293605/245444367291740993*c_0101_5^7 + 1736438394658144088/736333101875222979*c_0101_5^6 - 2024544941064400468/736333101875222979*c_0101_5^5 - 3684000457435705903/736333101875222979*c_0101_5^4 - 2463469545480668354/736333101875222979*c_0101_5^3 + 2065637676773700985/736333101875222979*c_0101_5^2 + 191870542905655688/736333101875222979*c_0101_5 - 684854703579657490/736333101875222979, c_0101_1 - 17252215485574240/736333101875222979*c_0101_5^14 - 534322239911796464/736333101875222979*c_0101_5^13 + 1975647862673632625/736333101875222979*c_0101_5^12 - 617986455307424176/245444367291740993*c_0101_5^11 - 2568263751353175664/736333101875222979*c_0101_5^10 - 571070891379265666/736333101875222979*c_0101_5^9 + 17846081870155998086/736333101875222979*c_0101_5^8 - 3770135062984199959/245444367291740993*c_0101_5^7 - 11079353935723245754/736333101875222979*c_0101_5^6 - 3822996665051129065/736333101875222979*c_0101_5^5 - 665341143370252480/736333101875222979*c_0101_5^4 + 10277789453875953742/736333101875222979*c_0101_5^3 + 8892593947198253689/736333101875222979*c_0101_5^2 - 1293925917705809260/736333101875222979*c_0101_5 - 1872767503047729826/736333101875222979, c_0101_4 + 94922174609706415/736333101875222979*c_0101_5^14 - 433143555561445066/736333101875222979*c_0101_5^13 + 583810573259955349/736333101875222979*c_0101_5^12 + 132692402448369630/245444367291740993*c_0101_5^11 - 773615222420054939/736333101875222979*c_0101_5^10 - 3099748350741093461/736333101875222979*c_0101_5^9 + 5103779417289127408/736333101875222979*c_0101_5^8 + 693440485638773010/245444367291740993*c_0101_5^7 - 4934036254902513116/736333101875222979*c_0101_5^6 + 273139942924447528/736333101875222979*c_0101_5^5 - 1917167091753245273/736333101875222979*c_0101_5^4 + 878050755193937297/736333101875222979*c_0101_5^3 + 2817678176779197158/736333101875222979*c_0101_5^2 + 437882186136281758/736333101875222979*c_0101_5 - 828182888075711552/736333101875222979, c_0101_5^15 - 17/5*c_0101_5^14 + 14/5*c_0101_5^13 + 24/5*c_0101_5^12 + 8/5*c_0101_5^11 - 157/5*c_0101_5^10 + 89/5*c_0101_5^9 + 117/5*c_0101_5^8 + 23/5*c_0101_5^7 - 13/5*c_0101_5^6 - 88/5*c_0101_5^5 - 74/5*c_0101_5^4 + 22/5*c_0101_5^3 + 32/5*c_0101_5^2 - 1/5*c_0101_5 - 3/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB