K12n10
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^4+3 q^3-4 q^2+6 q-6+6 q^{-1} -6 q^{-2} +4 q^{-3} -2 q^{-4} + q^{-5} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^3-5 t^2+9 t-9+9 t^{-1} -5 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^6+z^4-2 z^2+1 }[/math] |
| Determinant | 39 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6-2 a^2 z^4-z^4 a^{-2} +4 z^4+a^4 z^2-6 a^2 z^2-2 z^2 a^{-2} +5 z^2+2 a^4-4 a^2+3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^2 z^{10}+z^{10}+2 a^3 z^9+5 a z^9+3 z^9 a^{-1} +a^4 z^8-a^2 z^8+3 z^8 a^{-2} +z^8-11 a^3 z^7-25 a z^7-13 z^7 a^{-1} +z^7 a^{-3} -6 a^4 z^6-15 a^2 z^6-14 z^6 a^{-2} -23 z^6+19 a^3 z^5+36 a z^5+13 z^5 a^{-1} -4 z^5 a^{-3} +12 a^4 z^4+34 a^2 z^4+17 z^4 a^{-2} +39 z^4-13 a^3 z^3-21 a z^3-5 z^3 a^{-1} +3 z^3 a^{-3} -9 a^4 z^2-23 a^2 z^2-7 z^2 a^{-2} -21 z^2+4 a^3 z+6 a z+2 z a^{-1} +2 a^4+4 a^2+3 }[/math] |
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