T(8,5) (Q96632000)

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torus knot

Language	Label	Description	Also known as
English	T(8,5)	torus knot

Statements

0 references

maintained by WikiProject

WikiProject Mathematics

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crossing number

32

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Alexander polynomial

t^{14}-t^{13}+t^{9}-t^{8}+t^{6}-t^{5}+t^{4}-t^{3}+t-1+t^{-1}-t^{-3}+t^{-4}-t^{-5}+t^{-6}-t^{-8}+t^{-9}-t^{-13}+t^{-14}

1 reference

http://katlas.org/wiki/T(8,5)

25 June 2020

Conway polynomial

z^{28}+27z^{26}+324z^{24}+2277z^{22}+10395z^{20}+32320z^{18}+69785z^{16}+104771z^{14}+107849z^{12}+73876z^{10}+32055z^{8}+8169z^{6}+1092z^{4}+63z^{2}+1

1 reference

http://katlas.org/wiki/T(8,5)

25 June 2020

Dowker-Thistlethwaite notation

52,-42,-56,46,60,-50,-64,54,4,-58,-8,62,12,-2,-16,6,20,-10,-24,14,28,-18,-32,22,36,-26,-40,30,44,-34,-48,38

1 reference

http://katlas.math.toronto.edu/wiki/T(8,5)

27 June 2020

\{27,28,-32,-3,-6,-9,13,14,15,16,-20,-23,-26,-29,1,2,3,4,-8,-11,-14,-17,21,22,23,24,-28,-31,-2,-5,9,10,11,12,-16,-19,-22,-25,29,30,31,32,-4,-7,-10,-13,17,18,19,20,-24,-27,-30,-1,5,6,7,8,-12,-15,-18,-21,25,26\}

1 reference

Identifiers

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Sitelinks

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