K12a702

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ q^2-4 q+9-14 q^{-1} +21 q^{-2} -24 q^{-3} +25 q^{-4} -24 q^{-5} +19 q^{-6} -13 q^{-7} +7 q^{-8} -3 q^{-9} + q^{-10} }[/math]
Alexander polynomial	[math]\displaystyle{ t^4-7 t^3+20 t^2-34 t+41-34 t^{-1} +20 t^{-2} -7 t^{-3} + t^{-4} }[/math]
Conway polynomial	[math]\displaystyle{ z^8+z^6-2 z^4-z^2+1 }[/math]
Determinant	165
Signature	-4
HOMFLY-PT polynomial	[math]\displaystyle{ z^4 a^8+3 z^2 a^8+2 a^8-2 z^6 a^6-8 z^4 a^6-11 z^2 a^6-5 a^6+z^8 a^4+5 z^6 a^4+11 z^4 a^4+12 z^2 a^4+4 a^4-2 z^6 a^2-7 z^4 a^2-7 z^2 a^2-a^2+z^4+2 z^2+1 }[/math]
Kauffman polynomial	[math]\displaystyle{ z^4 a^{12}-z^2 a^{12}+3 z^5 a^{11}-2 z^3 a^{11}+6 z^6 a^{10}-5 z^4 a^{10}+2 z^2 a^{10}+10 z^7 a^9-15 z^5 a^9+12 z^3 a^9-4 z a^9+13 z^8 a^8-26 z^6 a^8+21 z^4 a^8-8 z^2 a^8+2 a^8+12 z^9 a^7-22 z^7 a^7+2 z^5 a^7+11 z^3 a^7-5 z a^7+7 z^{10} a^6-z^8 a^6-45 z^6 a^6+58 z^4 a^6-28 z^2 a^6+5 a^6+2 z^{11} a^5+15 z^9 a^5-64 z^7 a^5+61 z^5 a^5-19 z^3 a^5+2 z a^5+12 z^{10} a^4-31 z^8 a^4-3 z^6 a^4+43 z^4 a^4-27 z^2 a^4+4 a^4+2 z^{11} a^3+7 z^9 a^3-49 z^7 a^3+64 z^5 a^3-26 z^3 a^3+4 z a^3+5 z^{10} a^2-16 z^8 a^2+6 z^6 a^2+18 z^4 a^2-14 z^2 a^2+a^2+4 z^9 a-17 z^7 a+23 z^5 a-10 z^3 a+z a+z^8-4 z^6+6 z^4-4 z^2+1 }[/math]

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