K12a336

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ q^{12}-5 q^{11}+12 q^{10}-20 q^9+27 q^8-33 q^7+34 q^6-30 q^5+24 q^4-15 q^3+8 q^2-3 q+1 }[/math]
Alexander polynomial	[math]\displaystyle{ -4 t^3+22 t^2-49 t+63-49 t^{-1} +22 t^{-2} -4 t^{-3} }[/math]
Conway polynomial	[math]\displaystyle{ -4 z^6-2 z^4+3 z^2+1 }[/math]
Determinant	213
Signature	4
HOMFLY-PT polynomial	[math]\displaystyle{ -z^6 a^{-4} -2 z^6 a^{-6} -z^6 a^{-8} +z^4 a^{-2} -z^4 a^{-4} -3 z^4 a^{-6} +z^4 a^{-10} +2 z^2 a^{-2} +z^2 a^{-8} + a^{-2} + a^{-6} - a^{-8} }[/math]
Kauffman polynomial	[math]\displaystyle{ 2 z^{11} a^{-7} +2 z^{11} a^{-9} +5 z^{10} a^{-6} +13 z^{10} a^{-8} +8 z^{10} a^{-10} +6 z^9 a^{-5} +12 z^9 a^{-7} +19 z^9 a^{-9} +13 z^9 a^{-11} +5 z^8 a^{-4} -18 z^8 a^{-8} -2 z^8 a^{-10} +11 z^8 a^{-12} +3 z^7 a^{-3} -6 z^7 a^{-5} -28 z^7 a^{-7} -49 z^7 a^{-9} -25 z^7 a^{-11} +5 z^7 a^{-13} +z^6 a^{-2} -8 z^6 a^{-4} -9 z^6 a^{-6} +3 z^6 a^{-8} -20 z^6 a^{-10} -22 z^6 a^{-12} +z^6 a^{-14} -7 z^5 a^{-3} -3 z^5 a^{-5} +22 z^5 a^{-7} +38 z^5 a^{-9} +12 z^5 a^{-11} -8 z^5 a^{-13} -3 z^4 a^{-2} +2 z^4 a^{-4} +7 z^4 a^{-6} +5 z^4 a^{-8} +14 z^4 a^{-10} +10 z^4 a^{-12} -z^4 a^{-14} +5 z^3 a^{-3} +6 z^3 a^{-5} -5 z^3 a^{-7} -10 z^3 a^{-9} -2 z^3 a^{-11} +2 z^3 a^{-13} +3 z^2 a^{-2} +z^2 a^{-4} -z^2 a^{-6} -2 z^2 a^{-10} -z^2 a^{-12} -z a^{-3} -3 z a^{-5} +2 z a^{-9} - a^{-2} - a^{-6} - a^{-8} }[/math]

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