K12a191

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ q^3-5 q^2+12 q-21+32 q^{-1} -39 q^{-2} +42 q^{-3} -39 q^{-4} +32 q^{-5} -22 q^{-6} +12 q^{-7} -5 q^{-8} + q^{-9} }[/math]
Alexander polynomial	[math]\displaystyle{ -t^4+8 t^3-28 t^2+58 t-73+58 t^{-1} -28 t^{-2} +8 t^{-3} - t^{-4} }[/math]
Conway polynomial	[math]\displaystyle{ -z^8+2 z^2+1 }[/math]
Determinant	263
Signature	-2
HOMFLY-PT polynomial	[math]\displaystyle{ z^2 a^8-3 z^4 a^6-4 z^2 a^6-a^6+3 z^6 a^4+8 z^4 a^4+7 z^2 a^4+a^4-z^8 a^2-4 z^6 a^2-7 z^4 a^2-3 z^2 a^2+a^2+z^6+2 z^4+z^2 }[/math]
Kauffman polynomial	[math]\displaystyle{ 2 a^5 z^{11}+2 a^3 z^{11}+8 a^6 z^{10}+16 a^4 z^{10}+8 a^2 z^{10}+13 a^7 z^9+30 a^5 z^9+30 a^3 z^9+13 a z^9+11 a^8 z^8+13 a^6 z^8+3 a^4 z^8+12 a^2 z^8+11 z^8+5 a^9 z^7-16 a^7 z^7-63 a^5 z^7-65 a^3 z^7-18 a z^7+5 z^7 a^{-1} +a^{10} z^6-20 a^8 z^6-55 a^6 z^6-66 a^4 z^6-54 a^2 z^6+z^6 a^{-2} -21 z^6-8 a^9 z^5-2 a^7 z^5+32 a^5 z^5+37 a^3 z^5+3 a z^5-8 z^5 a^{-1} -a^{10} z^4+13 a^8 z^4+46 a^6 z^4+64 a^4 z^4+47 a^2 z^4-z^4 a^{-2} +14 z^4+4 a^9 z^3+7 a^7 z^3-a^5 z^3-4 a^3 z^3+3 a z^3+3 z^3 a^{-1} -3 a^8 z^2-14 a^6 z^2-19 a^4 z^2-11 a^2 z^2-3 z^2-2 a^7 z-2 a^5 z+a^6+a^4-a^2 }[/math]

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