Magma V2.19-8 Tue Aug 20 2013 16:15:49 on localhost [Seed = 1360055672] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0037 geometric_solution 3.60598644 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 2310 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 -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 2.331862783650 0.072458828191 0 2 2 0 3201 0132 3201 0132 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 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 -1.223875826009 0.307335786482 1 1 3 3 2310 0132 0132 3201 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 -1 0 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 0.241087144541 0.119745428625 4 2 5 2 0132 2310 0132 0132 0 0 0 0 0 0 -1 1 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 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.217232155283 0.952084614411 3 6 5 6 0132 0132 3012 1023 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 1 0 -1 0 0 1 -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 1.948189370604 1.975410671701 6 4 6 3 2310 1230 3201 0132 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 -1 1 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 1.948189370604 1.975410671701 5 4 5 4 2310 0132 3201 1023 0 0 0 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 -1 0 1 0 0 -1 1 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.013267998998 0.505875862137 ==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' : negation(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' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_5']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_5'], 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_2'], 'c_0101_3' : negation(d['c_0011_5']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_3'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0011_0'], 'c_0110_5' : negation(d['c_0011_5']), 'c_0110_4' : negation(d['c_0011_5']), 'c_0110_6' : negation(d['c_0101_5']), 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0011_0']), '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_1, c_0011_3, c_0011_5, c_0101_0, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 4493122672052169507003/63800078647600853789440*c_0101_5^17 - 314868777552784948451359/31900039323800426894720*c_0101_5^15 - 12154676541007278753942793/63800078647600853789440*c_0101_5^13 - 19092846290641657879477927/15950019661900213447360*c_0101_5^11 - 43766725928552472043842229/15950019661900213447360*c_0101_5^9 - 37304434163431770643314075/12760015729520170757888*c_0101_5^7 - 1499482210894766257294557/996876228868763340460*c_0101_5^5 - 1893999848756782079458777/3987504915475053361840*c_0101_5^3 - 2050984609593634804709/249219057217190835115*c_0101_5, c_0011_0 - 1, c_0011_1 - 533072004685376441/725000893722736974880*c_0101_5^16 + 18737498289211204899/181250223430684243720*c_0101_5^14 + 1408764973373386702831/725000893722736974880*c_0101_5^12 + 4216847783264661043663/362500446861368487440*c_0101_5^10 + 4249066386434254156273/181250223430684243720*c_0101_5^8 + 2872134932525176892449/145000178744547394976*c_0101_5^6 + 2068630749877232503883/362500446861368487440*c_0101_5^4 + 2588068525952528947/22656277928835530465*c_0101_5^2 - 29757350427166826126/22656277928835530465, c_0011_3 - 15059011877714321/181250223430684243720*c_0101_5^16 + 2142475121823443621/181250223430684243720*c_0101_5^14 + 36221074703518907571/181250223430684243720*c_0101_5^12 + 176807029715022757631/181250223430684243720*c_0101_5^10 + 86861849160351729171/90625111715342121860*c_0101_5^8 + 23140331978496047165/36250044686136848744*c_0101_5^6 + 279014068369392014801/181250223430684243720*c_0101_5^4 + 109281999275488331577/90625111715342121860*c_0101_5^2 - 10655195102625584859/22656277928835530465, c_0011_5 + 9619437794383413/22656277928835530465*c_0101_5^16 - 10795287696777661209/181250223430684243720*c_0101_5^14 - 51713852849218924541/45312555857671060930*c_0101_5^12 - 1280567176321830217409/181250223430684243720*c_0101_5^10 - 1405327181265695416349/90625111715342121860*c_0101_5^8 - 136487282014712849979/9062511171534212186*c_0101_5^6 - 1351927053533922299659/181250223430684243720*c_0101_5^4 - 280226204544701484693/90625111715342121860*c_0101_5^2 - 4079715132406910609/22656277928835530465, c_0101_0 + 9166476671420766351/1450001787445473949760*c_0101_5^17 - 320908618211526144899/362500446861368487440*c_0101_5^15 - 24951564397760418999721/1450001787445473949760*c_0101_5^13 - 79369587899917983675573/725000893722736974880*c_0101_5^11 - 93749192977875805321403/362500446861368487440*c_0101_5^9 - 83600572468158569307943/290000357489094789952*c_0101_5^7 - 114666060955339027600593/725000893722736974880*c_0101_5^5 - 4518776746091443376679/90625111715342121860*c_0101_5^3 - 90673753548232229209/45312555857671060930*c_0101_5, c_0101_2 + 2571869607227353593/1450001787445473949760*c_0101_5^17 - 11275105339325432559/45312555857671060930*c_0101_5^15 - 6909188359948333823263/1450001787445473949760*c_0101_5^13 - 21425589123146399320889/725000893722736974880*c_0101_5^11 - 23871182970385308545659/362500446861368487440*c_0101_5^9 - 19938806705704451976369/290000357489094789952*c_0101_5^7 - 26173004615056453582649/725000893722736974880*c_0101_5^5 - 2375194414892655514429/181250223430684243720*c_0101_5^3 - 3791565956248291007/45312555857671060930*c_0101_5, c_0101_5^18 - 140*c_0101_5^16 - 2727*c_0101_5^14 - 17422*c_0101_5^12 - 41668*c_0101_5^10 - 47917*c_0101_5^8 - 28486*c_0101_5^6 - 10560*c_0101_5^4 - 1312*c_0101_5^2 - 128 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.220 seconds, Total memory usage: 32.09MB