K13n2506

Dowker-Thistlethwaite code

4 10 16 22 2 18 -26 -24 8 12 6 20 -14

Jones polynomial	Data:K13n2506/Jones Polynomial
Alexander polynomial	[math]\displaystyle{ -t^4+7 t^3-22 t^2+43 t-53+43 t^{-1} -22 t^{-2} +7 t^{-3} - t^{-4} }[/math]
Conway polynomial	Data:K13n2506/Conway Polynomial
Determinant	199
Signature	2
HOMFLY-PT polynomial	[math]\displaystyle{ -z^8 a^{-2} -5 z^6 a^{-2} +3 z^6 a^{-4} +z^6-12 z^4 a^{-2} +11 z^4 a^{-4} -2 z^4 a^{-6} +3 z^4-13 z^2 a^{-2} +15 z^2 a^{-4} -4 z^2 a^{-6} +4 z^2-5 a^{-2} +7 a^{-4} -3 a^{-6} +2 }[/math]
Kauffman polynomial	[math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +5 z^{10} a^{-2} +8 z^{10} a^{-4} +3 z^{10} a^{-6} +9 z^9 a^{-1} +20 z^9 a^{-3} +14 z^9 a^{-5} +3 z^9 a^{-7} +11 z^8 a^{-2} +11 z^8 a^{-4} +9 z^8 a^{-6} +z^8 a^{-8} +8 z^8+4 a z^7-12 z^7 a^{-1} -40 z^7 a^{-3} -19 z^7 a^{-5} +5 z^7 a^{-7} +a^2 z^6-46 z^6 a^{-2} -58 z^6 a^{-4} -23 z^6 a^{-6} +6 z^6 a^{-8} -16 z^6-8 a z^5+18 z^5 a^{-3} -5 z^5 a^{-5} -12 z^5 a^{-7} +3 z^5 a^{-9} -2 a^2 z^4+49 z^4 a^{-2} +64 z^4 a^{-4} +20 z^4 a^{-6} -9 z^4 a^{-8} +12 z^4+5 a z^3+4 z^3 a^{-1} +4 z^3 a^{-3} +15 z^3 a^{-5} +6 z^3 a^{-7} -4 z^3 a^{-9} +a^2 z^2-25 z^2 a^{-2} -31 z^2 a^{-4} -11 z^2 a^{-6} +2 z^2 a^{-8} -6 z^2-a z-2 z a^{-1} -3 z a^{-3} -5 z a^{-5} -2 z a^{-7} +z a^{-9} +5 a^{-2} +7 a^{-4} +3 a^{-6} +2 }[/math]

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