K12a812

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ q^{12}-4 q^{11}+10 q^{10}-18 q^9+25 q^8-31 q^7+32 q^6-29 q^5+24 q^4-15 q^3+8 q^2-3 q+1 }[/math]
Alexander polynomial	[math]\displaystyle{ -5 t^3+23 t^2-45 t+55-45 t^{-1} +23 t^{-2} -5 t^{-3} }[/math]
Conway polynomial	[math]\displaystyle{ -5 z^6-7 z^4+2 z^2+1 }[/math]
Determinant	201
Signature	4
HOMFLY-PT polynomial	[math]\displaystyle{ -z^6 a^{-4} -3 z^6 a^{-6} -z^6 a^{-8} +z^4 a^{-2} -9 z^4 a^{-6} +z^4 a^{-10} +2 z^2 a^{-2} +5 z^2 a^{-4} -9 z^2 a^{-6} +3 z^2 a^{-8} +z^2 a^{-10} +4 a^{-4} -4 a^{-6} + a^{-8} }[/math]
Kauffman polynomial	[math]\displaystyle{ 2 z^{11} a^{-7} +2 z^{11} a^{-9} +6 z^{10} a^{-6} +13 z^{10} a^{-8} +7 z^{10} a^{-10} +8 z^9 a^{-5} +14 z^9 a^{-7} +16 z^9 a^{-9} +10 z^9 a^{-11} +6 z^8 a^{-4} -4 z^8 a^{-6} -23 z^8 a^{-8} -5 z^8 a^{-10} +8 z^8 a^{-12} +3 z^7 a^{-3} -19 z^7 a^{-5} -47 z^7 a^{-7} -49 z^7 a^{-9} -20 z^7 a^{-11} +4 z^7 a^{-13} +z^6 a^{-2} -15 z^6 a^{-4} -17 z^6 a^{-6} +9 z^6 a^{-8} -7 z^6 a^{-10} -16 z^6 a^{-12} +z^6 a^{-14} -7 z^5 a^{-3} +20 z^5 a^{-5} +59 z^5 a^{-7} +57 z^5 a^{-9} +17 z^5 a^{-11} -8 z^5 a^{-13} -3 z^4 a^{-2} +16 z^4 a^{-4} +38 z^4 a^{-6} +12 z^4 a^{-8} +4 z^4 a^{-10} +9 z^4 a^{-12} -2 z^4 a^{-14} +3 z^3 a^{-3} -9 z^3 a^{-5} -29 z^3 a^{-7} -35 z^3 a^{-9} -14 z^3 a^{-11} +4 z^3 a^{-13} +2 z^2 a^{-2} -13 z^2 a^{-4} -25 z^2 a^{-6} -9 z^2 a^{-8} -2 z^2 a^{-10} -2 z^2 a^{-12} +z^2 a^{-14} +6 z a^{-7} +10 z a^{-9} +4 z a^{-11} +4 a^{-4} +4 a^{-6} + a^{-8} }[/math]

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