K13a3824

Dowker-Thistlethwaite code

6 10 24 18 20 22 2 8 26 14 4 12 16

Jones polynomial	Data:K13a3824/Jones Polynomial
Alexander polynomial	[math]\displaystyle{ t^5-7 t^4+25 t^3-59 t^2+98 t-115+98 t^{-1} -59 t^{-2} +25 t^{-3} -7 t^{-4} + t^{-5} }[/math]
Conway polynomial	Data:K13a3824/Conway Polynomial
Determinant	495
Signature	-2
HOMFLY-PT polynomial	[math]\displaystyle{ a^2 z^{10}-2 a^4 z^8+6 a^2 z^8-z^8+a^6 z^6-8 a^4 z^6+15 a^2 z^6-4 z^6+2 a^6 z^4-12 a^4 z^4+17 a^2 z^4-6 z^4+2 a^6 z^2-8 a^4 z^2+9 a^2 z^2-3 z^2+a^6-3 a^4+3 a^2 }[/math]
Kauffman polynomial	[math]\displaystyle{ 6 a^4 z^{12}+6 a^2 z^{12}+22 a^5 z^{11}+38 a^3 z^{11}+16 a z^{11}+35 a^6 z^{10}+52 a^4 z^{10}+35 a^2 z^{10}+18 z^{10}+32 a^7 z^9-a^5 z^9-62 a^3 z^9-17 a z^9+12 z^9 a^{-1} +18 a^8 z^8-55 a^6 z^8-148 a^4 z^8-119 a^2 z^8+5 z^8 a^{-2} -39 z^8+6 a^9 z^7-52 a^7 z^7-66 a^5 z^7+2 a^3 z^7-18 a z^7-27 z^7 a^{-1} +z^7 a^{-3} +a^{10} z^6-21 a^8 z^6+24 a^6 z^6+135 a^4 z^6+132 a^2 z^6-11 z^6 a^{-2} +32 z^6-3 a^9 z^5+27 a^7 z^5+58 a^5 z^5+40 a^3 z^5+34 a z^5+20 z^5 a^{-1} -2 z^5 a^{-3} +6 a^8 z^4-10 a^6 z^4-63 a^4 z^4-70 a^2 z^4+7 z^4 a^{-2} -16 z^4-8 a^7 z^3-20 a^5 z^3-23 a^3 z^3-18 a z^3-6 z^3 a^{-1} +z^3 a^{-3} -a^8 z^2+5 a^6 z^2+19 a^4 z^2+19 a^2 z^2-z^2 a^{-2} +5 z^2+2 a^7 z+5 a^5 z+5 a^3 z+3 a z+z a^{-1} -a^6-3 a^4-3 a^2 }[/math]

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