K13n171

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13n171/Jones Polynomial
Alexander polynomial	[math]\displaystyle{ -t^4+7 t^3-21 t^2+38 t-45+38 t^{-1} -21 t^{-2} +7 t^{-3} - t^{-4} }[/math]
Conway polynomial	Data:K13n171/Conway Polynomial
Determinant	179
Signature	2
HOMFLY-PT polynomial	[math]\displaystyle{ -z^8 a^{-2} -5 z^6 a^{-2} +z^6 a^{-4} +3 z^6-3 a^2 z^4-11 z^4 a^{-2} +4 z^4 a^{-4} +11 z^4+a^4 z^2-7 a^2 z^2-12 z^2 a^{-2} +6 z^2 a^{-4} -z^2 a^{-6} +14 z^2+a^4-4 a^2-5 a^{-2} +3 a^{-4} - a^{-6} +7 }[/math]
Kauffman polynomial	[math]\displaystyle{ 2 a z^{11}+2 z^{11} a^{-1} +5 a^2 z^{10}+9 z^{10} a^{-2} +14 z^{10}+4 a^3 z^9+11 a z^9+23 z^9 a^{-1} +16 z^9 a^{-3} +a^4 z^8-14 a^2 z^8-4 z^8 a^{-2} +14 z^8 a^{-4} -33 z^8-17 a^3 z^7-65 a z^7-94 z^7 a^{-1} -40 z^7 a^{-3} +6 z^7 a^{-5} -4 a^4 z^6-49 z^6 a^{-2} -31 z^6 a^{-4} +z^6 a^{-6} -13 z^6+25 a^3 z^5+88 a z^5+100 z^5 a^{-1} +36 z^5 a^{-3} -z^5 a^{-5} +6 a^4 z^4+25 a^2 z^4+65 z^4 a^{-2} +33 z^4 a^{-4} +8 z^4 a^{-6} +59 z^4-14 a^3 z^3-41 a z^3-43 z^3 a^{-1} -19 z^3 a^{-3} +3 z^3 a^{-7} -4 a^4 z^2-19 a^2 z^2-32 z^2 a^{-2} -17 z^2 a^{-4} -5 z^2 a^{-6} -35 z^2+2 a^3 z+6 a z+7 z a^{-1} +4 z a^{-3} -z a^{-7} +a^4+4 a^2+5 a^{-2} +3 a^{-4} + a^{-6} +7 }[/math]

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