K12a1236

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ q^5-3 q^4+7 q^3-13 q^2+19 q-23+26 q^{-1} -25 q^{-2} +21 q^{-3} -15 q^{-4} +9 q^{-5} -4 q^{-6} + q^{-7} }[/math]
Alexander polynomial	[math]\displaystyle{ -2 t^4+9 t^3-21 t^2+33 t-37+33 t^{-1} -21 t^{-2} +9 t^{-3} -2 t^{-4} }[/math]
Conway polynomial	[math]\displaystyle{ -2 z^8-7 z^6-7 z^4-2 z^2+1 }[/math]
Determinant	167
Signature	-2
HOMFLY-PT polynomial	[math]\displaystyle{ -a^2 z^8-z^8+a^4 z^6-4 a^2 z^6+z^6 a^{-2} -5 z^6+3 a^4 z^4-4 a^2 z^4+4 z^4 a^{-2} -10 z^4+2 a^4 z^2+a^2 z^2+5 z^2 a^{-2} -10 z^2+2 a^2+2 a^{-2} -3 }[/math]
Kauffman polynomial	[math]\displaystyle{ 2 a z^{11}+2 z^{11} a^{-1} +7 a^2 z^{10}+4 z^{10} a^{-2} +11 z^{10}+13 a^3 z^9+12 a z^9+2 z^9 a^{-1} +3 z^9 a^{-3} +16 a^4 z^8-a^2 z^8-15 z^8 a^{-2} +z^8 a^{-4} -33 z^8+14 a^5 z^7-19 a^3 z^7-47 a z^7-28 z^7 a^{-1} -14 z^7 a^{-3} +9 a^6 z^6-26 a^4 z^6-31 a^2 z^6+16 z^6 a^{-2} -5 z^6 a^{-4} +25 z^6+4 a^7 z^5-18 a^5 z^5-3 a^3 z^5+37 a z^5+40 z^5 a^{-1} +22 z^5 a^{-3} +a^8 z^4-7 a^6 z^4+12 a^4 z^4+23 a^2 z^4-5 z^4 a^{-2} +8 z^4 a^{-4} -10 z^4-a^7 z^3+8 a^5 z^3+6 a^3 z^3-8 a z^3-18 z^3 a^{-1} -13 z^3 a^{-3} +2 a^6 z^2-3 a^4 z^2-a^2 z^2+3 z^2 a^{-2} -4 z^2 a^{-4} +11 z^2-a^5 z-a^3 z+a z+3 z a^{-1} +2 z a^{-3} -2 a^2-2 a^{-2} -3 }[/math]

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