K12n363
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q-3+8 q^{-1} -11 q^{-2} +14 q^{-3} -15 q^{-4} +13 q^{-5} -11 q^{-6} +7 q^{-7} -3 q^{-8} + q^{-9} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^3-8 t^2+21 t-27+21 t^{-1} -8 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^6-2 z^4-2 z^2+1 }[/math] |
| Determinant | 87 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^8+a^8-2 z^4 a^6-3 z^2 a^6-a^6+z^6 a^4+2 z^4 a^4+z^2 a^4-a^4-2 z^4 a^2-2 z^2 a^2+a^2+z^2+1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^6 a^{10}-3 z^4 a^{10}+2 z^2 a^{10}+3 z^7 a^9-8 z^5 a^9+5 z^3 a^9-z a^9+5 z^8 a^8-14 z^6 a^8+12 z^4 a^8-7 z^2 a^8+a^8+4 z^9 a^7-8 z^7 a^7+4 z^5 a^7-6 z^3 a^7+3 z a^7+z^{10} a^6+7 z^8 a^6-26 z^6 a^6+29 z^4 a^6-14 z^2 a^6+a^6+6 z^9 a^5-15 z^7 a^5+19 z^5 a^5-15 z^3 a^5+7 z a^5+z^{10} a^4+3 z^8 a^4-11 z^6 a^4+17 z^4 a^4-6 z^2 a^4-a^4+2 z^9 a^3-4 z^7 a^3+10 z^5 a^3-7 z^3 a^3+3 z a^3+z^8 a^2+4 z^4 a^2-3 z^2 a^2-a^2+3 z^5 a-3 z^3 a+z^4-2 z^2+1 }[/math] |
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