K12a896

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ q^7-4 q^6+9 q^5-17 q^4+24 q^3-29 q^2+32 q-29+25 q^{-1} -17 q^{-2} +10 q^{-3} -5 q^{-4} + q^{-5} }[/math]
Alexander polynomial	[math]\displaystyle{ -2 t^4+11 t^3-26 t^2+40 t-45+40 t^{-1} -26 t^{-2} +11 t^{-3} -2 t^{-4} }[/math]
Conway polynomial	[math]\displaystyle{ -2 z^8-5 z^6+3 z^2+1 }[/math]
Determinant	203
Signature	2
HOMFLY-PT polynomial	[math]\displaystyle{ -z^8 a^{-2} -z^8+a^2 z^6-4 z^6 a^{-2} +z^6 a^{-4} -3 z^6+2 a^2 z^4-6 z^4 a^{-2} +3 z^4 a^{-4} +z^4-2 a^2 z^2-6 z^2 a^{-2} +2 z^2 a^{-4} +9 z^2-3 a^2-3 a^{-2} +7 }[/math]
Kauffman polynomial	[math]\displaystyle{ 4 a z^{11}+4 z^{11} a^{-1} +8 a^2 z^{10}+12 z^{10} a^{-2} +20 z^{10}+5 a^3 z^9+14 z^9 a^{-1} +19 z^9 a^{-3} +a^4 z^8-32 a^2 z^8-13 z^8 a^{-2} +21 z^8 a^{-4} -67 z^8-20 a^3 z^7-41 a z^7-72 z^7 a^{-1} -35 z^7 a^{-3} +16 z^7 a^{-5} -3 a^4 z^6+39 a^2 z^6-31 z^6 a^{-2} -40 z^6 a^{-4} +9 z^6 a^{-6} +60 z^6+23 a^3 z^5+58 a z^5+66 z^5 a^{-1} +6 z^5 a^{-3} -21 z^5 a^{-5} +4 z^5 a^{-7} +2 a^4 z^4-13 a^2 z^4+38 z^4 a^{-2} +25 z^4 a^{-4} -5 z^4 a^{-6} +z^4 a^{-8} -8 z^4-4 a^3 z^3-14 a z^3-11 z^3 a^{-1} +9 z^3 a^{-3} +9 z^3 a^{-5} -z^3 a^{-7} -3 a^2 z^2-15 z^2 a^{-2} -6 z^2 a^{-4} -12 z^2-3 a^3 z-6 a z-6 z a^{-1} -3 z a^{-3} +3 a^2+3 a^{-2} +7 }[/math]

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