K12a838

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ q^{14}-2 q^{13}+3 q^{12}-4 q^{11}+4 q^{10}-5 q^9+5 q^8-5 q^7+4 q^6-3 q^5+3 q^4-q^3+q^2 }[/math]
Alexander polynomial	[math]\displaystyle{ -t^5+3 t^4-4 t^3+5 t^2-5 t+5-5 t^{-1} +5 t^{-2} -4 t^{-3} +3 t^{-4} - t^{-5} }[/math]
Conway polynomial	[math]\displaystyle{ -z^{10}-7 z^8-15 z^6-9 z^4+2 z^2+1 }[/math]
Determinant	41
Signature	8
HOMFLY-PT polynomial	[math]\displaystyle{ -z^{10} a^{-8} +z^8 a^{-6} -9 z^8 a^{-8} +z^8 a^{-10} +8 z^6 a^{-6} -30 z^6 a^{-8} +7 z^6 a^{-10} +22 z^4 a^{-6} -47 z^4 a^{-8} +16 z^4 a^{-10} +24 z^2 a^{-6} -36 z^2 a^{-8} +14 z^2 a^{-10} +8 a^{-6} -11 a^{-8} +4 a^{-10} }[/math]
Kauffman polynomial	[math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +z^{10} a^{-6} +4 z^{10} a^{-8} +3 z^{10} a^{-10} -7 z^9 a^{-7} -3 z^9 a^{-9} +4 z^9 a^{-11} -9 z^8 a^{-6} -31 z^8 a^{-8} -18 z^8 a^{-10} +4 z^8 a^{-12} +14 z^7 a^{-7} -11 z^7 a^{-9} -21 z^7 a^{-11} +4 z^7 a^{-13} +30 z^6 a^{-6} +84 z^6 a^{-8} +34 z^6 a^{-10} -16 z^6 a^{-12} +4 z^6 a^{-14} -2 z^5 a^{-7} +46 z^5 a^{-9} +32 z^5 a^{-11} -12 z^5 a^{-13} +4 z^5 a^{-15} -46 z^4 a^{-6} -98 z^4 a^{-8} -26 z^4 a^{-10} +14 z^4 a^{-12} -9 z^4 a^{-14} +3 z^4 a^{-16} -16 z^3 a^{-7} -46 z^3 a^{-9} -16 z^3 a^{-11} +5 z^3 a^{-13} -7 z^3 a^{-15} +2 z^3 a^{-17} +32 z^2 a^{-6} +51 z^2 a^{-8} +13 z^2 a^{-10} -z^2 a^{-12} +2 z^2 a^{-14} -2 z^2 a^{-16} +z^2 a^{-18} +9 z a^{-7} +13 z a^{-9} +3 z a^{-11} +z a^{-13} +2 z a^{-15} -8 a^{-6} -11 a^{-8} -4 a^{-10} }[/math]

Read me first: Modifying Knot Pages

See/edit the Large Knot Page master template.

Back to the top.

Contents