K12a708

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ q^7-4 q^6+9 q^5-17 q^4+24 q^3-28 q^2+31 q-28+23 q^{-1} -16 q^{-2} +9 q^{-3} -4 q^{-4} + q^{-5} }[/math]
Alexander polynomial	[math]\displaystyle{ -t^4+7 t^3-22 t^2+42 t-51+42 t^{-1} -22 t^{-2} +7 t^{-3} - t^{-4} }[/math]
Conway polynomial	[math]\displaystyle{ -z^8-z^6+z^2+1 }[/math]
Determinant	195
Signature	2
HOMFLY-PT polynomial	[math]\displaystyle{ -z^8 a^{-2} -5 z^6 a^{-2} +z^6 a^{-4} +3 z^6-3 a^2 z^4-11 z^4 a^{-2} +3 z^4 a^{-4} +11 z^4+a^4 z^2-7 a^2 z^2-10 z^2 a^{-2} +3 z^2 a^{-4} +14 z^2+a^4-4 a^2-2 a^{-2} +6 }[/math]
Kauffman polynomial	[math]\displaystyle{ 2 a z^{11}+2 z^{11} a^{-1} +5 a^2 z^{10}+9 z^{10} a^{-2} +14 z^{10}+4 a^3 z^9+11 a z^9+25 z^9 a^{-1} +18 z^9 a^{-3} +a^4 z^8-14 a^2 z^8+6 z^8 a^{-2} +21 z^8 a^{-4} -30 z^8-17 a^3 z^7-64 a z^7-94 z^7 a^{-1} -31 z^7 a^{-3} +16 z^7 a^{-5} -4 a^4 z^6-76 z^6 a^{-2} -41 z^6 a^{-4} +9 z^6 a^{-6} -22 z^6+25 a^3 z^5+87 a z^5+89 z^5 a^{-1} +2 z^5 a^{-3} -21 z^5 a^{-5} +4 z^5 a^{-7} +6 a^4 z^4+26 a^2 z^4+86 z^4 a^{-2} +29 z^4 a^{-4} -5 z^4 a^{-6} +z^4 a^{-8} +71 z^4-14 a^3 z^3-40 a z^3-28 z^3 a^{-1} +8 z^3 a^{-3} +9 z^3 a^{-5} -z^3 a^{-7} -4 a^4 z^2-20 a^2 z^2-33 z^2 a^{-2} -10 z^2 a^{-4} -39 z^2+2 a^3 z+5 a z+3 z a^{-1} +a^4+4 a^2+2 a^{-2} +6 }[/math]

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