K12n136

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ q^{15}-3 q^{14}+6 q^{13}-9 q^{12}+10 q^{11}-11 q^{10}+9 q^9-7 q^8+4 q^7+q^4 }[/math]
Alexander polynomial	[math]\displaystyle{ t^4-6 t^2+15 t-19+15 t^{-1} -6 t^{-2} + t^{-4} }[/math]
Conway polynomial	[math]\displaystyle{ z^8+8 z^6+14 z^4+7 z^2+1 }[/math]
Determinant	59
Signature	6
HOMFLY-PT polynomial	[math]\displaystyle{ z^8 a^{-8} +8 z^6 a^{-8} +20 z^4 a^{-8} -4 z^4 a^{-10} -2 z^4 a^{-12} +20 z^2 a^{-8} -11 z^2 a^{-10} -3 z^2 a^{-12} +z^2 a^{-14} +7 a^{-8} -7 a^{-10} + a^{-14} }[/math]
Kauffman polynomial	[math]\displaystyle{ z^{10} a^{-12} +z^{10} a^{-14} +z^9 a^{-11} +4 z^9 a^{-13} +3 z^9 a^{-15} +z^8 a^{-8} -4 z^8 a^{-12} +z^8 a^{-14} +4 z^8 a^{-16} -6 z^7 a^{-11} -16 z^7 a^{-13} -7 z^7 a^{-15} +3 z^7 a^{-17} -8 z^6 a^{-8} -4 z^6 a^{-10} +8 z^6 a^{-12} -8 z^6 a^{-14} -11 z^6 a^{-16} +z^6 a^{-18} -4 z^5 a^{-9} +13 z^5 a^{-11} +30 z^5 a^{-13} +4 z^5 a^{-15} -9 z^5 a^{-17} +20 z^4 a^{-8} +18 z^4 a^{-10} -3 z^4 a^{-12} +8 z^4 a^{-14} +6 z^4 a^{-16} -3 z^4 a^{-18} +12 z^3 a^{-9} -z^3 a^{-11} -25 z^3 a^{-13} -6 z^3 a^{-15} +6 z^3 a^{-17} -20 z^2 a^{-8} -19 z^2 a^{-10} +2 z^2 a^{-12} -3 z^2 a^{-14} -2 z^2 a^{-16} +2 z^2 a^{-18} -8 z a^{-9} -4 z a^{-11} +8 z a^{-13} +3 z a^{-15} -z a^{-17} +7 a^{-8} +7 a^{-10} - a^{-14} }[/math]

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