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vertices 6x^2+9y^2-18y-45=0	vertices\:6x^{2}+9y^{2}-18y-45=0
vertices 9x^2+25y^2+90x=0	vertices\:9x^{2}+25y^{2}+90x=0
vertices ((x-3)^2)/4+((y+2)^2)/1 =1	vertices\:\frac{(x-3)^{2}}{4}+\frac{(y+2)^{2}}{1}=1
vertices ((x+4)^2)/5+((y-6)^2)/9 =1	vertices\:\frac{(x+4)^{2}}{5}+\frac{(y-6)^{2}}{9}=1
vertices 25x^2+4y^2+200x-8y+304=0	vertices\:25x^{2}+4y^{2}+200x-8y+304=0
vertices ((x+6)^2)/7+((y-3)^2)/(16)=1	vertices\:\frac{(x+6)^{2}}{7}+\frac{(y-3)^{2}}{16}=1
vertices (5x^2+8y^2-1)/(11x^2-13y^2)=0	vertices\:\frac{5x^{2}+8y^{2}-1}{11x^{2}-13y^{2}}=0
vertices (y^2)/(16)+(x^2)/(49)=1	vertices\:\frac{y^{2}}{16}+\frac{x^{2}}{49}=1
vertices 4x^2+81y^2=324	vertices\:4x^{2}+81y^{2}=324
vertices ((x-3)^2)/(16)+((y-2)^2)/(20)=1	vertices\:\frac{(x-3)^{2}}{16}+\frac{(y-2)^{2}}{20}=1
vertices ((x+4)^2)/4+((y+1)^2)/(16)=1	vertices\:\frac{(x+4)^{2}}{4}+\frac{(y+1)^{2}}{16}=1
vertices 5x^2+9y^2-20x+54y+56=0	vertices\:5x^{2}+9y^{2}-20x+54y+56=0
vertices 9x^2+36y^2=324	vertices\:9x^{2}+36y^{2}=324
vertices 4x^2+y^2-48x-4y+48=0	vertices\:4x^{2}+y^{2}-48x-4y+48=0
vertices 7x^2+9y^2-63=0	vertices\:7x^{2}+9y^{2}-63=0
vertices x^2+3y^2-4x+12y+13=0	vertices\:x^{2}+3y^{2}-4x+12y+13=0
vertices ((x+3)^2)/(26)+((y-4)^2)/(16)=1	vertices\:\frac{(x+3)^{2}}{26}+\frac{(y-4)^{2}}{16}=1
vertices (x-2)^2+4(y-3)^2=4	vertices\:(x-2)^{2}+4(y-3)^{2}=4
vertices ((x-2)^2)/(36)+((y+1)^2)/(25)=1	vertices\:\frac{(x-2)^{2}}{36}+\frac{(y+1)^{2}}{25}=1
vertices ((x-1)^2)/9+((y-5)^2)/(25)=1	vertices\:\frac{(x-1)^{2}}{9}+\frac{(y-5)^{2}}{25}=1
vertices 9x^2+81y^2-729=0	vertices\:9x^{2}+81y^{2}-729=0
vertices 9x^2+49y^2=441	vertices\:9x^{2}+49y^{2}=441
vertices (x^2)/(7^2)+(y^2)/(3^2)=1	vertices\:\frac{x^{2}}{7^{2}}+\frac{y^{2}}{3^{2}}=1
vertices (x^2}{49}+\frac{y^2)/9 =1	vertices\:\frac{x^{2}}{49}+\frac{y^{2}}{9}=1
vertices 25x^2+49y^2=1225	vertices\:25x^{2}+49y^{2}=1225
vertices 81x^2+36y^2=2916	vertices\:81x^{2}+36y^{2}=2916
vertices 3x^2-6x+y^2+4y-11=0	vertices\:3x^{2}-6x+y^{2}+4y-11=0
vertices 9x^2+y^2-18x-6y+9=0	vertices\:9x^{2}+y^{2}-18x-6y+9=0
vertices 25x^2+9y^2+200x-90y+400=0	vertices\:25x^{2}+9y^{2}+200x-90y+400=0
vertices (x^2)/(64)+(y^2)/(121)=1	vertices\:\frac{x^{2}}{64}+\frac{y^{2}}{121}=1
vertices ((x+1)^2)/4+((y-1)^2)/9 =1	vertices\:\frac{(x+1)^{2}}{4}+\frac{(y-1)^{2}}{9}=1
vertices (x^2)/(15)+(y^2)/(45)=1	vertices\:\frac{x^{2}}{15}+\frac{y^{2}}{45}=1
foci 3x^2+2y^2+6x-4y+5=18	foci\:3x^{2}+2y^{2}+6x-4y+5=18
foci ((x+2)^2)/(25)+((y-1)^2)/(169)=1	foci\:\frac{(x+2)^{2}}{25}+\frac{(y-1)^{2}}{169}=1
foci 3x^2+y^2-24x+39=0	foci\:3x^{2}+y^{2}-24x+39=0
foci 9x^2+16y^2+126x+96y+441=0	foci\:9x^{2}+16y^{2}+126x+96y+441=0
foci 8x^2+2y^2+16x=0	foci\:8x^{2}+2y^{2}+16x=0
foci 16x^2+25y^2-64x-50y-311=0	foci\:16x^{2}+25y^{2}-64x-50y-311=0
foci x^2-8x+25y^2-100y+91=0	foci\:x^{2}-8x+25y^{2}-100y+91=0
foci 25x^2+9y^2-100x+18y-116=0	foci\:25x^{2}+9y^{2}-100x+18y-116=0
foci (x^2)/(64)+(y^2)/(100)=1	foci\:\frac{x^{2}}{64}+\frac{y^{2}}{100}=1
foci ((x-3)^2)/(25)+((y+1)^2)/(16)=1	foci\:\frac{(x-3)^{2}}{25}+\frac{(y+1)^{2}}{16}=1
foci ((x-h)^2)/(a^2)+((y-k)^2)/(b^2)=1	foci\:\frac{(x-h)^{2}}{a^{2}}+\frac{(y-k)^{2}}{b^{2}}=1
foci 9x^2+18x+4y^2-24y+9=0	foci\:9x^{2}+18x+4y^{2}-24y+9=0
foci 25x^2+144y^2=900	foci\:25x^{2}+144y^{2}=900
foci 3x^2+y^2+18x-2y-8=0	foci\:3x^{2}+y^{2}+18x-2y-8=0
foci 100x^2+36y^2=225	foci\:100x^{2}+36y^{2}=225
foci 4x^2+9y^2-32x-36y+64=0	foci\:4x^{2}+9y^{2}-32x-36y+64=0
foci 9x^2-54x+y^2+2y+46=0	foci\:9x^{2}-54x+y^{2}+2y+46=0
foci (x^2)/(8^2)+(y^2)/(4^2)=1	foci\:\frac{x^{2}}{8^{2}}+\frac{y^{2}}{4^{2}}=1
foci ((x-2)^2)/9+((y+1)^2)/(36)=1	foci\:\frac{(x-2)^{2}}{9}+\frac{(y+1)^{2}}{36}=1
foci ((x-6)^2)/(16)+((y+3)^2)/(25)=1	foci\:\frac{(x-6)^{2}}{16}+\frac{(y+3)^{2}}{25}=1
foci 9x^2+36y^2=324	foci\:9x^{2}+36y^{2}=324
foci ((x-12)^2)/(289)+((y-3)^2)/(64)=1	foci\:\frac{(x-12)^{2}}{289}+\frac{(y-3)^{2}}{64}=1
foci (x^2)/9+(y^2)/(36)=1	foci\:\frac{x^{2}}{9}+\frac{y^{2}}{36}=1
foci 9x^2+4y^2-36x+40y+100=0	foci\:9x^{2}+4y^{2}-36x+40y+100=0
foci 9x^2+25y^2-100y-125=0	foci\:9x^{2}+25y^{2}-100y-125=0
foci ((x-1)^2)/(45)+(y^2)/(54)=1	foci\:\frac{(x-1)^{2}}{45}+\frac{y^{2}}{54}=1
foci 36x^2+5y^2-90y-495=0	foci\:36x^{2}+5y^{2}-90y-495=0
foci 9x^2+49y^2=441	foci\:9x^{2}+49y^{2}=441
foci ((x+4)^2)/(225)+((y-7)^2)/(81)=1	foci\:\frac{(x+4)^{2}}{225}+\frac{(y-7)^{2}}{81}=1
foci 25x^2+16y^2+100x-96y-156=0	foci\:25x^{2}+16y^{2}+100x-96y-156=0
foci 4x^2+25y^2-50y=75	foci\:4x^{2}+25y^{2}-50y=75
foci 16(x-1)^2+9(y+2)^2=144	foci\:16(x-1)^{2}+9(y+2)^{2}=144
foci 36x^2+9y^2+48x-36y+43=0	foci\:36x^{2}+9y^{2}+48x-36y+43=0
foci 4x^2+y^2-8x+4y+4=0	foci\:4x^{2}+y^{2}-8x+4y+4=0
foci (x^2)/(20)+(y^2)/(36)=1	foci\:\frac{x^{2}}{20}+\frac{y^{2}}{36}=1
foci (x^2)/8+(y^2)/5 =1	foci\:\frac{x^{2}}{8}+\frac{y^{2}}{5}=1
foci (x^2)/(81)+(y^2)/(25)=1	foci\:\frac{x^{2}}{81}+\frac{y^{2}}{25}=1
foci 81x^2+49y^2=3969	foci\:81x^{2}+49y^{2}=3969
foci ((x-2)^2)/2+((y-1)^2)/8 =1	foci\:\frac{(x-2)^{2}}{2}+\frac{(y-1)^{2}}{8}=1
foci ((x+2)^2)/(64)+((y-1)^2)/(81)=1	foci\:\frac{(x+2)^{2}}{64}+\frac{(y-1)^{2}}{81}=1
foci 9x^2+16y^2+72x+128y+256=0	foci\:9x^{2}+16y^{2}+72x+128y+256=0
foci 25x^2+9y^2-150x-18y+9=0	foci\:25x^{2}+9y^{2}-150x-18y+9=0
foci 4x^2+y^2+40x+6y+95=0	foci\:4x^{2}+y^{2}+40x+6y+95=0
foci 49x^2+25y^2=1225	foci\:49x^{2}+25y^{2}=1225
foci ((x-4)^2)/(32)+((y-3)^2)/(36)=1	foci\:\frac{(x-4)^{2}}{32}+\frac{(y-3)^{2}}{36}=1
foci (x^2)/(289)+(y^2)/(225)=1	foci\:\frac{x^{2}}{289}+\frac{y^{2}}{225}=1
foci ((x+3)^2}{36}+\frac{(y-1)^2)/9 =1	foci\:\frac{(x+3)^{2}}{36}+\frac{(y-1)^{2}}{9}=1
foci 9x^2+25y^2+54x+100y-44=0	foci\:9x^{2}+25y^{2}+54x+100y-44=0
foci 25x^2+4y^2-100=0	foci\:25x^{2}+4y^{2}-100=0
foci x^2+9y^2-14x+36y+49=0	foci\:x^{2}+9y^{2}-14x+36y+49=0
foci 25(x^2)/4-50x+100y^2+800y+1075=0	foci\:25\frac{x^{2}}{4}-50x+100y^{2}+800y+1075=0
foci x^2+16y^2=1	foci\:x^{2}+16y^{2}=1
foci (x^2)/(16)+((y-1)^2)/(49)=1	foci\:\frac{x^{2}}{16}+\frac{(y-1)^{2}}{49}=1
foci 4x^2+9y^2+12x-108y+297=0	foci\:4x^{2}+9y^{2}+12x-108y+297=0
foci 3x^2+4y^2=48	foci\:3x^{2}+4y^{2}=48
foci (x^2)/4+(y^2)/(20)=1	foci\:\frac{x^{2}}{4}+\frac{y^{2}}{20}=1
foci ((x8)^2)/(49)+((y+1)^2)/(100)=1	foci\:\frac{(x8)^{2}}{49}+\frac{(y+1)^{2}}{100}=1
foci 9x^2+49y^2+18x+294y-9=0	foci\:9x^{2}+49y^{2}+18x+294y-9=0
foci 16x^2+64y^2=128	foci\:16x^{2}+64y^{2}=128
foci ((x^2)/4)+y^2=1	foci\:(\frac{x^{2}}{4})+y^{2}=1
foci ((x-1)^2)/5+((y-3)^2)/4 =1	foci\:\frac{(x-1)^{2}}{5}+\frac{(y-3)^{2}}{4}=1
foci (2x^2)/(25)+((y-3)^2)/(49)=1	foci\:\frac{2x^{2}}{25}+\frac{(y-3)^{2}}{49}=1
foci ((x-3)^2)/2+((y-5)^2)/9 =1	foci\:\frac{(x-3)^{2}}{2}+\frac{(y-5)^{2}}{9}=1
foci ((x-2)^2)/9+((y+1)^2)/4 =1	foci\:\frac{(x-2)^{2}}{9}+\frac{(y+1)^{2}}{4}=1
foci x^2-4x+100y^2+200y+4=0	foci\:x^{2}-4x+100y^{2}+200y+4=0
foci 4x^2+25y^2-24x+250y+561=0	foci\:4x^{2}+25y^{2}-24x+250y+561=0
foci 5x^2+9y^2-20x-18y-16=0	foci\:5x^{2}+9y^{2}-20x-18y-16=0
foci ((x+3)^2)/4+((y-2)^2)/(16)=1	foci\:\frac{(x+3)^{2}}{4}+\frac{(y-2)^{2}}{16}=1

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