K12a148

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ -q+3-7 q^{-1} +13 q^{-2} -18 q^{-3} +24 q^{-4} -25 q^{-5} +24 q^{-6} -20 q^{-7} +14 q^{-8} -8 q^{-9} +3 q^{-10} - q^{-11} }[/math]
Alexander polynomial	[math]\displaystyle{ 2 t^4-8 t^3+20 t^2-32 t+37-32 t^{-1} +20 t^{-2} -8 t^{-3} +2 t^{-4} }[/math]
Conway polynomial	[math]\displaystyle{ 2 z^8+8 z^6+12 z^4+8 z^2+1 }[/math]
Determinant	161
Signature	-4
HOMFLY-PT polynomial	[math]\displaystyle{ -z^6 a^8-4 z^4 a^8-6 z^2 a^8-3 a^8+z^8 a^6+5 z^6 a^6+10 z^4 a^6+9 z^2 a^6+2 a^6+z^8 a^4+5 z^6 a^4+10 z^4 a^4+10 z^2 a^4+4 a^4-z^6 a^2-4 z^4 a^2-5 z^2 a^2-2 a^2 }[/math]
Kauffman polynomial	[math]\displaystyle{ z^5 a^{13}-2 z^3 a^{13}+z a^{13}+3 z^6 a^{12}-4 z^4 a^{12}+z^2 a^{12}+6 z^7 a^{11}-9 z^5 a^{11}+7 z^3 a^{11}-3 z a^{11}+8 z^8 a^{10}-12 z^6 a^{10}+10 z^4 a^{10}-3 z^2 a^{10}+7 z^9 a^9-6 z^7 a^9-z^5 a^9+4 z^3 a^9+4 z^{10} a^8+3 z^8 a^8-10 z^6 a^8+8 z^2 a^8-3 a^8+z^{11} a^7+11 z^9 a^7-25 z^7 a^7+22 z^5 a^7-17 z^3 a^7+6 z a^7+7 z^{10} a^6-9 z^8 a^6-5 z^4 a^6+5 z^2 a^6-2 a^6+z^{11} a^5+8 z^9 a^5-24 z^7 a^5+19 z^5 a^5-9 z^3 a^5+z a^5+3 z^{10} a^4-z^8 a^4-16 z^6 a^4+22 z^4 a^4-13 z^2 a^4+4 a^4+4 z^9 a^3-10 z^7 a^3+2 z^5 a^3+8 z^3 a^3-3 z a^3+3 z^8 a^2-11 z^6 a^2+13 z^4 a^2-6 z^2 a^2+2 a^2+z^7 a-4 z^5 a+5 z^3 a-2 z a }[/math]

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