read Conic:
read pyth_LLL:  # uncomment one line in that file if you have Maple 9

a,b,c :=
7567221027090547120937240902754019945053368387436210710031985558-\
19836641392861953837362417486023783955660552557310778668119885005*t+
20109282691303360197461828268988894498949323957883836870805863182*t^2-\
3942936553669956032743638469733027734664997811245493687560654864*t^3+
1323307299656044419262800072697008101997550090864578638683115178*t^4, -\
8365734118422021613936967786742280304490427198863643200890182960+
6200795941834641062606692782297584173417685127905354303379366608*t+
16797968406758107091384354496759340108151662685582224821625939492*t^2-\
10980579034890934029317453470161857544466866933930668902018929572*t^3-\
10139097112638345560809117537202661097119902456576886477481608240*t^4+
6596745455170093640221925200206748718225445107650962501900430425*t^5, 
2654284052679679874030042301967957304187761735341783352554308790-\
22765529725746168653910236835683624627369074313685564745172195287*t-\
13101917094024541625389182760866434239216550251836522032075435710*t^2-\
36114455765930693062079002831053258536142434325798859383943719176*t^3-\
9525490719382657197433674177295995314096875046440737322139591930*t^4-\
20331006610230397238827177863945836419972840946592423197215104337*t^5;
pt := Conic(a,b,c);


a,b,c :=
-12*t*s^2-4*s^2-8*s+16*t^3-18*t^3*s-13*t^3*s^2-19*t^2*s^2+16*t-16*s*t,
-8*s+28*s^2-32*s^3-81*s^4+11*t*s^4+250*t*s^3+12*t*s^2+24*s*t-32*s*t^2-16*t^2
+45*t^2*s^4+36*t^2*s^3-120*t^2*s^2+13*t^3*s^4+18*t^3*s^3-16*t^3*s^2-
144*t^4*s^2+8*t^4*s-16*t^4,
4*t*s^2+8*s*t+32*s*t^2+88*t^2*s^2+144*t^4*s^2-8*t^4*s+4*s^2+8*s+16*t^2+16*t^4;
pt := Conic(a,b,c);


# Takes too long:
#
a,b,c :=
-110*s-40-30*s^3-100*s^2-68*t*s^2-80*s*t-12*t-24*t*s^3-17*t^2*s^2-20*s*t^2-3*
t^2-6*t^2*s^3, 30*s+40+14*t*s^2-94*t+6*s*t+12*t*s^4+46*t*s^3-76*t^2*s^2+16*t^2
-56*s*t^2-12*t^2*s^4-52*t^2*s^3+17*t^4*s^2+20*t^4*s+3*t^4+6*t^4*s^3, t*(-54-98
*s-124*s^2-116*s^3-118*s^4-70*s^5-12*s^6+151*t+220*s*t+253*t*s^2+188*t*s^3+76*
t*s^4+52*t*s^5+12*t*s^6-20*t^2*s^2+30*t^2*s^3+40*t^2-50*s*t^2+331*t^3*s^2+138*
t^3*s+178*t^3+87*t^3*s^4+168*t^3*s^3+18*t^3*s^5):
pt := Conic(a,b,c);


# Takes too long:
#
a,b,c :=
(-1386*s^3+28*t^3*s+32*t^2*s^5+4144*t^2*s^4+3616*t^2*s^3+924*t^2*s^2-112*t^2*
s+3932*t*s^5+270*t*s^4-870*t*s^3-5948*s^5-316*t*s^2-32*t*s-8*t^3*s^5-1036*t^3*
s^4-904*t^3*s^3-231*t^3*s^2+16*t^3-64*t^2-216*s^2+1096*s^7+64*s^8-3944*s^4+
3648*t*s^6-3652*s^6-832*t*s^7+192*t^2*s^7-2400*t^2*s^6-48*t^3*s^7+600*t^3*s^6)
*s, 16+2350*s^3+162*s+20*t-16*t^3*s+5346*t*s^5+6118*t*s^4+4116*t*s^3+9504*s^5+
1506*t*s^2+277*t*s+1036*t^3*s^5+904*t^3*s^4+231*t^3*s^3-28*t^3*s^2+752*s^2+
2996*s^7-328*s^8+128*s^9+5662*s^4+3588*t*s^6+8892*s^6+1984*t*s^7+320*t*s^8-600
*t^3*s^7+48*t^3*s^8+8*t^3*s^6, -16+4582*s^3+54*s+12*t-149*t^3*s+6136*t^2*s^5+
8816*t^2*s^4+6156*t^2*s^3+2316*t^2*s^2+424*t^2*s-17128*t*s^5-9720*t*s^4-2330*t
*s^3+9988*s^5+28*t*s^2+103*t*s-13904*t^3*s^5-12480*t^3*s^4-5648*t^3*s^3-1250*t
^3*s^2-20*t^3+24*t^2+1066*s^2-1600*s^7-896*s^8-192*s^9+9560*s^4-13984*t*s^6+
3264*s^6-3968*t*s^7+512*t*s^8-1440*t^2*s^7-960*t^2*s^8+496*t^2*s^6-832*t^3*s^7
+128*t^3*s^8-7584*t^3*s^6;
pt := Conic(a,b,c);