K12n44
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^5-3 q^4+5 q^3-6 q^2+8 q-8+7 q^{-1} -6 q^{-2} +4 q^{-3} -2 q^{-4} + q^{-5} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^3-6 t^2+12 t-13+12 t^{-1} -6 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^6-3 z^2+1 }[/math] |
| Determinant | 51 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6-2 a^2 z^4-2 z^4 a^{-2} +4 z^4+a^4 z^2-6 a^2 z^2-5 z^2 a^{-2} +z^2 a^{-4} +6 z^2+2 a^4-4 a^2-2 a^{-2} + a^{-4} +4 }[/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+4 z^8 a^{-2} +2 z^8-11 a^3 z^7-23 a z^7-9 z^7 a^{-1} +3 z^7 a^{-3} -6 a^4 z^6-14 a^2 z^6-14 z^6 a^{-2} +z^6 a^{-4} -23 z^6+19 a^3 z^5+30 a z^5+3 z^5 a^{-1} -8 z^5 a^{-3} +12 a^4 z^4+32 a^2 z^4+16 z^4 a^{-2} +z^4 a^{-4} +35 z^4-12 a^3 z^3-14 a z^3+2 z^3 a^{-1} +7 z^3 a^{-3} +3 z^3 a^{-5} -9 a^4 z^2-21 a^2 z^2-11 z^2 a^{-2} -2 z^2 a^{-4} +z^2 a^{-6} -20 z^2+3 a^3 z+3 a z-z a^{-1} -2 z a^{-3} -z a^{-5} +2 a^4+4 a^2+2 a^{-2} + a^{-4} +4 }[/math] |
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