K12n450
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^9-4 q^8+8 q^7-12 q^6+15 q^5-16 q^4+15 q^3-12 q^2+8 q-3+ q^{-1} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^3-8 t^2+23 t-31+23 t^{-1} -8 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^6-2 z^4+1 }[/math] |
| Determinant | 95 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-4} -2 z^4 a^{-2} +2 z^4 a^{-4} -2 z^4 a^{-6} -2 z^2 a^{-2} +2 z^2 a^{-4} -2 z^2 a^{-6} +z^2 a^{-8} +z^2+1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{10} a^{-4} +2 z^{10} a^{-6} +3 z^9 a^{-3} +9 z^9 a^{-5} +6 z^9 a^{-7} +z^8 a^{-2} -2 z^8 a^{-4} +4 z^8 a^{-6} +7 z^8 a^{-8} -10 z^7 a^{-3} -29 z^7 a^{-5} -15 z^7 a^{-7} +4 z^7 a^{-9} -3 z^6 a^{-4} -24 z^6 a^{-6} -20 z^6 a^{-8} +z^6 a^{-10} +3 z^5 a^{-1} +22 z^5 a^{-3} +38 z^5 a^{-5} +9 z^5 a^{-7} -10 z^5 a^{-9} +4 z^4 a^{-2} +13 z^4 a^{-4} +26 z^4 a^{-6} +14 z^4 a^{-8} -2 z^4 a^{-10} +z^4-4 z^3 a^{-1} -15 z^3 a^{-3} -19 z^3 a^{-5} -4 z^3 a^{-7} +4 z^3 a^{-9} -4 z^2 a^{-2} -6 z^2 a^{-4} -8 z^2 a^{-6} -4 z^2 a^{-8} -2 z^2+z a^{-1} +3 z a^{-3} +3 z a^{-5} +z a^{-7} +1 }[/math] |
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