K12a135

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ -q^4+5 q^3-10 q^2+16 q-22+26 q^{-1} -27 q^{-2} +25 q^{-3} -19 q^{-4} +13 q^{-5} -7 q^{-6} +3 q^{-7} - q^{-8} }[/math]
Alexander polynomial	[math]\displaystyle{ 2 t^3-15 t^2+42 t-57+42 t^{-1} -15 t^{-2} +2 t^{-3} }[/math]
Conway polynomial	[math]\displaystyle{ 2 z^6-3 z^4+1 }[/math]
Determinant	175
Signature	-2
HOMFLY-PT polynomial	[math]\displaystyle{ -a^8+3 z^2 a^6+2 a^6-3 z^4 a^4-3 z^2 a^4-a^4+z^6 a^2+a^2+z^6+z^4-1-z^4 a^{-2} + a^{-2} }[/math]
Kauffman polynomial	[math]\displaystyle{ 2 a^3 z^{11}+2 a z^{11}+5 a^4 z^{10}+12 a^2 z^{10}+7 z^{10}+6 a^5 z^9+9 a^3 z^9+12 a z^9+9 z^9 a^{-1} +6 a^6 z^8-3 a^4 z^8-29 a^2 z^8+5 z^8 a^{-2} -15 z^8+5 a^7 z^7-3 a^5 z^7-31 a^3 z^7-54 a z^7-30 z^7 a^{-1} +z^7 a^{-3} +3 a^8 z^6-4 a^6 z^6-a^4 z^6+17 a^2 z^6-15 z^6 a^{-2} -4 z^6+a^9 z^5-6 a^7 z^5-5 a^5 z^5+31 a^3 z^5+57 a z^5+26 z^5 a^{-1} -2 z^5 a^{-3} -5 a^8 z^4-4 a^6 z^4-3 a^4 z^4+9 z^4 a^{-2} +13 z^4-2 a^9 z^3+2 a^7 z^3+5 a^5 z^3-12 a^3 z^3-18 a z^3-5 z^3 a^{-1} +3 a^8 z^2+6 a^6 z^2+4 a^4 z^2+z^2 a^{-2} +a^9 z-a^5 z+a^3 z-z a^{-1} -a^8-2 a^6-a^4-a^2- a^{-2} -1 }[/math]

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