Magma V2.19-8 Tue Aug 20 2013 16:15:49 on localhost [Seed = 2732801672] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0036 geometric_solution 3.60598644 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 2 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0.441238289513 0.060978367203 0 1 0 1 0132 1302 1023 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 0.571571970589 0.013312701413 3 0 3 0 0132 0132 2310 1023 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 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 0 0 0 -2.327084742496 1.652527716978 2 2 4 5 0132 3201 0132 0132 0 0 0 0 0 0 0 0 1 0 -1 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 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 0.515253213572 0.626705172521 5 6 5 3 1302 0132 2031 0132 0 0 0 0 0 0 0 0 0 0 -1 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 -1 1 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 0.746912439077 0.256623856113 6 4 3 4 2310 2031 0132 1302 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 1 -1 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.746912439077 0.256623856113 6 4 5 6 3012 0132 3201 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.802514461524 0.411431568743 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { '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_2_0' : negation(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_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' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : d['c_0101_6'], 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : negation(d['c_0101_6']), 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : negation(d['c_0011_4']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : d['c_0101_3']})} 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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 4493122672052169507003/63800078647600853789440*c_0101_6^17 - 314868777552784948451359/31900039323800426894720*c_0101_6^15 - 12154676541007278753942793/63800078647600853789440*c_0101_6^13 - 19092846290641657879477927/15950019661900213447360*c_0101_6^11 - 43766725928552472043842229/15950019661900213447360*c_0101_6^9 - 37304434163431770643314075/12760015729520170757888*c_0101_6^7 - 1499482210894766257294557/996876228868763340460*c_0101_6^5 - 1893999848756782079458777/3987504915475053361840*c_0101_6^3 - 2050984609593634804709/249219057217190835115*c_0101_6, c_0011_0 - 1, c_0011_4 + 9619437794383413/22656277928835530465*c_0101_6^16 - 10795287696777661209/181250223430684243720*c_0101_6^14 - 51713852849218924541/45312555857671060930*c_0101_6^12 - 1280567176321830217409/181250223430684243720*c_0101_6^10 - 1405327181265695416349/90625111715342121860*c_0101_6^8 - 136487282014712849979/9062511171534212186*c_0101_6^6 - 1351927053533922299659/181250223430684243720*c_0101_6^4 - 280226204544701484693/90625111715342121860*c_0101_6^2 - 4079715132406910609/22656277928835530465, c_0101_0 - 9166476671420766351/1450001787445473949760*c_0101_6^17 + 320908618211526144899/362500446861368487440*c_0101_6^15 + 24951564397760418999721/1450001787445473949760*c_0101_6^13 + 79369587899917983675573/725000893722736974880*c_0101_6^11 + 93749192977875805321403/362500446861368487440*c_0101_6^9 + 83600572468158569307943/290000357489094789952*c_0101_6^7 + 114666060955339027600593/725000893722736974880*c_0101_6^5 + 4518776746091443376679/90625111715342121860*c_0101_6^3 + 90673753548232229209/45312555857671060930*c_0101_6, c_0101_1 - 533072004685376441/725000893722736974880*c_0101_6^16 + 18737498289211204899/181250223430684243720*c_0101_6^14 + 1408764973373386702831/725000893722736974880*c_0101_6^12 + 4216847783264661043663/362500446861368487440*c_0101_6^10 + 4249066386434254156273/181250223430684243720*c_0101_6^8 + 2872134932525176892449/145000178744547394976*c_0101_6^6 + 2068630749877232503883/362500446861368487440*c_0101_6^4 + 2588068525952528947/22656277928835530465*c_0101_6^2 - 29757350427166826126/22656277928835530465, c_0101_2 + 15059011877714321/181250223430684243720*c_0101_6^16 - 2142475121823443621/181250223430684243720*c_0101_6^14 - 36221074703518907571/181250223430684243720*c_0101_6^12 - 176807029715022757631/181250223430684243720*c_0101_6^10 - 86861849160351729171/90625111715342121860*c_0101_6^8 - 23140331978496047165/36250044686136848744*c_0101_6^6 - 279014068369392014801/181250223430684243720*c_0101_6^4 - 109281999275488331577/90625111715342121860*c_0101_6^2 + 10655195102625584859/22656277928835530465, c_0101_3 + 2571869607227353593/1450001787445473949760*c_0101_6^17 - 11275105339325432559/45312555857671060930*c_0101_6^15 - 6909188359948333823263/1450001787445473949760*c_0101_6^13 - 21425589123146399320889/725000893722736974880*c_0101_6^11 - 23871182970385308545659/362500446861368487440*c_0101_6^9 - 19938806705704451976369/290000357489094789952*c_0101_6^7 - 26173004615056453582649/725000893722736974880*c_0101_6^5 - 2375194414892655514429/181250223430684243720*c_0101_6^3 - 3791565956248291007/45312555857671060930*c_0101_6, c_0101_6^18 - 140*c_0101_6^16 - 2727*c_0101_6^14 - 17422*c_0101_6^12 - 41668*c_0101_6^10 - 47917*c_0101_6^8 - 28486*c_0101_6^6 - 10560*c_0101_6^4 - 1312*c_0101_6^2 - 128 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB