K12n322
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^3-2 q^2+3 q-3+4 q^{-1} -4 q^{-2} +3 q^{-3} -2 q^{-4} + q^{-5} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -2 t^2+6 t-7+6 t^{-1} -2 t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ -2 z^4-2 z^2+1 }[/math] |
| Determinant | 23 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^4+a^4-z^4 a^2-2 z^2 a^2-a^2-z^4-2 z^2+z^2 a^{-2} + a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^2 z^{10}+z^{10}+2 a^3 z^9+4 a z^9+2 z^9 a^{-1} +a^4 z^8-3 a^2 z^8+z^8 a^{-2} -3 z^8-12 a^3 z^7-23 a z^7-11 z^7 a^{-1} -6 a^4 z^6-6 a^2 z^6-5 z^6 a^{-2} -5 z^6+22 a^3 z^5+38 a z^5+16 z^5 a^{-1} +11 a^4 z^4+19 a^2 z^4+4 z^4 a^{-2} +12 z^4-15 a^3 z^3-23 a z^3-10 z^3 a^{-1} -2 z^3 a^{-3} -7 a^4 z^2-11 a^2 z^2-z^2 a^{-4} -3 z^2+3 a^3 z+5 a z+3 z a^{-1} +z a^{-3} +a^4+a^2- a^{-2} }[/math] |
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