K12n741

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ -2 q^2+5 q-8+13 q^{-1} -15 q^{-2} +16 q^{-3} -14 q^{-4} +11 q^{-5} -7 q^{-6} +3 q^{-7} - q^{-8} }[/math]
Alexander polynomial	[math]\displaystyle{ 3 t^3-11 t^2+21 t-25+21 t^{-1} -11 t^{-2} +3 t^{-3} }[/math]
Conway polynomial	[math]\displaystyle{ 3 z^6+7 z^4+4 z^2+1 }[/math]
Determinant	95
Signature	-2
HOMFLY-PT polynomial	[math]\displaystyle{ -z^4 a^6-2 z^2 a^6-a^6+z^6 a^4+2 z^4 a^4-a^4+2 z^6 a^2+8 z^4 a^2+11 z^2 a^2+5 a^2-2 z^4-5 z^2-2 }[/math]
Kauffman polynomial	[math]\displaystyle{ 2 a^4 z^{10}+2 a^2 z^{10}+5 a^5 z^9+8 a^3 z^9+3 a z^9+7 a^6 z^8+a^4 z^8-5 a^2 z^8+z^8+6 a^7 z^7-10 a^5 z^7-27 a^3 z^7-11 a z^7+3 a^8 z^6-18 a^6 z^6-10 a^4 z^6+13 a^2 z^6+2 z^6+a^9 z^5-14 a^7 z^5+7 a^5 z^5+44 a^3 z^5+25 a z^5+3 z^5 a^{-1} -5 a^8 z^4+20 a^6 z^4+16 a^4 z^4-20 a^2 z^4-11 z^4-2 a^9 z^3+11 a^7 z^3+4 a^5 z^3-31 a^3 z^3-30 a z^3-8 z^3 a^{-1} -9 a^6 z^2-4 a^4 z^2+14 a^2 z^2+9 z^2-4 a^7 z-2 a^5 z+8 a^3 z+10 a z+4 z a^{-1} +a^6-a^4-5 a^2-2 }[/math]

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