K12a399

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ -q^2+4 q-10+18 q^{-1} -25 q^{-2} +32 q^{-3} -33 q^{-4} +31 q^{-5} -25 q^{-6} +17 q^{-7} -10 q^{-8} +4 q^{-9} - q^{-10} }[/math]
Alexander polynomial	[math]\displaystyle{ 5 t^3-22 t^2+48 t-61+48 t^{-1} -22 t^{-2} +5 t^{-3} }[/math]
Conway polynomial	[math]\displaystyle{ 5 z^6+8 z^4+5 z^2+1 }[/math]
Determinant	211
Signature	-2
HOMFLY-PT polynomial	[math]\displaystyle{ -z^4 a^8-z^2 a^8+z^6 a^6-4 z^2 a^6-4 a^6+3 z^6 a^4+10 z^4 a^4+14 z^2 a^4+7 a^4+z^6 a^2-3 z^2 a^2-2 a^2-z^4-z^2 }[/math]
Kauffman polynomial	[math]\displaystyle{ z^7 a^{11}-3 z^5 a^{11}+3 z^3 a^{11}-z a^{11}+4 z^8 a^{10}-12 z^6 a^{10}+11 z^4 a^{10}-3 z^2 a^{10}+7 z^9 a^9-19 z^7 a^9+14 z^5 a^9-3 z^3 a^9+z a^9+6 z^{10} a^8-7 z^8 a^8-13 z^6 a^8+16 z^4 a^8-3 z^2 a^8+2 z^{11} a^7+14 z^9 a^7-46 z^7 a^7+35 z^5 a^7-7 z^3 a^7-z a^7+13 z^{10} a^6-16 z^8 a^6-19 z^6 a^6+31 z^4 a^6-16 z^2 a^6+4 a^6+2 z^{11} a^5+19 z^9 a^5-46 z^7 a^5+24 z^5 a^5+5 z^3 a^5-6 z a^5+7 z^{10} a^4+8 z^8 a^4-42 z^6 a^4+46 z^4 a^4-25 z^2 a^4+7 a^4+12 z^9 a^3-11 z^7 a^3-7 z^5 a^3+14 z^3 a^3-5 z a^3+13 z^8 a^2-20 z^6 a^2+16 z^4 a^2-8 z^2 a^2+2 a^2+9 z^7 a-12 z^5 a+7 z^3 a-2 z a+4 z^6-4 z^4+z^2+z^5 a^{-1} -z^3 a^{-1} }[/math]

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