K12n562
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^5-2 q^4+3 q^3-4 q^2+5 q-5+5 q^{-1} -4 q^{-2} +3 q^{-3} -2 q^{-4} + q^{-5} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -3 t^2+9 t-11+9 t^{-1} -3 t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ -3 z^4-3 z^2+1 }[/math] |
| Determinant | 35 |
| 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-z^2+1-z^4 a^{-2} -2 z^2 a^{-2} - a^{-2} +z^2 a^{-4} + a^{-4} }[/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^7-22 a z^7-10 z^7 a^{-1} -6 a^4 z^6-5 a^2 z^6-2 z^6 a^{-2} -z^6+22 a^3 z^5+37 a z^5+19 z^5 a^{-1} +4 z^5 a^{-3} +11 a^4 z^4+17 a^2 z^4+z^4 a^{-2} +3 z^4 a^{-4} +4 z^4-14 a^3 z^3-24 a z^3-20 z^3 a^{-1} -8 z^3 a^{-3} +2 z^3 a^{-5} -7 a^4 z^2-9 a^2 z^2-4 z^2 a^{-2} -3 z^2 a^{-4} +z^2 a^{-6} -2 z^2+3 a^3 z+6 a z+6 z a^{-1} +3 z a^{-3} +a^4+a^2+ a^{-2} + a^{-4} +1 }[/math] |
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