K12a934

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ q^9-4 q^8+10 q^7-19 q^6+28 q^5-35 q^4+38 q^3-35 q^2+29 q-20+11 q^{-1} -4 q^{-2} + q^{-3} }[/math]
Alexander polynomial	[math]\displaystyle{ -2 t^4+10 t^3-27 t^2+49 t-59+49 t^{-1} -27 t^{-2} +10 t^{-3} -2 t^{-4} }[/math]
Conway polynomial	[math]\displaystyle{ -2 z^8-6 z^6-7 z^4-z^2+1 }[/math]
Determinant	235
Signature	2
HOMFLY-PT polynomial	[math]\displaystyle{ -z^8 a^{-2} -z^8 a^{-4} -4 z^6 a^{-2} -4 z^6 a^{-4} +z^6 a^{-6} +z^6-7 z^4 a^{-2} -6 z^4 a^{-4} +3 z^4 a^{-6} +3 z^4-6 z^2 a^{-2} -2 z^2 a^{-4} +3 z^2 a^{-6} +4 z^2-2 a^{-2} + a^{-4} +2 }[/math]
Kauffman polynomial	[math]\displaystyle{ 3 z^{11} a^{-3} +3 z^{11} a^{-5} +9 z^{10} a^{-2} +17 z^{10} a^{-4} +8 z^{10} a^{-6} +12 z^9 a^{-1} +17 z^9 a^{-3} +15 z^9 a^{-5} +10 z^9 a^{-7} -6 z^8 a^{-2} -27 z^8 a^{-4} -4 z^8 a^{-6} +8 z^8 a^{-8} +9 z^8+4 a z^7-23 z^7 a^{-1} -46 z^7 a^{-3} -38 z^7 a^{-5} -15 z^7 a^{-7} +4 z^7 a^{-9} +a^2 z^6-13 z^6 a^{-2} +12 z^6 a^{-4} -10 z^6 a^{-6} -15 z^6 a^{-8} +z^6 a^{-10} -18 z^6-7 a z^5+18 z^5 a^{-1} +41 z^5 a^{-3} +29 z^5 a^{-5} +5 z^5 a^{-7} -8 z^5 a^{-9} -2 a^2 z^4+18 z^4 a^{-2} -2 z^4 a^{-4} +7 z^4 a^{-6} +9 z^4 a^{-8} -2 z^4 a^{-10} +14 z^4+3 a z^3-10 z^3 a^{-1} -19 z^3 a^{-3} -10 z^3 a^{-5} +z^3 a^{-7} +5 z^3 a^{-9} +a^2 z^2-11 z^2 a^{-2} -2 z^2 a^{-8} +z^2 a^{-10} -7 z^2+2 z a^{-1} +4 z a^{-3} +2 z a^{-5} -z a^{-7} -z a^{-9} +2 a^{-2} + a^{-4} +2 }[/math]

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