K12n90
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q+3-6 q^{-1} +10 q^{-2} -11 q^{-3} +13 q^{-4} -12 q^{-5} +10 q^{-6} -7 q^{-7} +3 q^{-8} - q^{-9} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^4-4 t^3+10 t^2-15 t+17-15 t^{-1} +10 t^{-2} -4 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^8+4 z^6+6 z^4+5 z^2+1 }[/math] |
| Determinant | 77 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^4 z^8-a^6 z^6+6 a^4 z^6-a^2 z^6-4 a^6 z^4+14 a^4 z^4-4 a^2 z^4-6 a^6 z^2+16 a^4 z^2-5 a^2 z^2-4 a^6+7 a^4-2 a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^3 a^{11}-z a^{11}+3 z^4 a^{10}-2 z^2 a^{10}+z^7 a^9+z^5 a^9+z^3 a^9+3 z^8 a^8-7 z^6 a^8+10 z^4 a^8-3 z^2 a^8+3 z^9 a^7-5 z^7 a^7-2 z^5 a^7+9 z^3 a^7-4 z a^7+z^{10} a^6+6 z^8 a^6-28 z^6 a^6+33 z^4 a^6-17 z^2 a^6+4 a^6+6 z^9 a^5-14 z^7 a^5-4 z^5 a^5+18 z^3 a^5-9 z a^5+z^{10} a^4+6 z^8 a^4-33 z^6 a^4+41 z^4 a^4-24 z^2 a^4+7 a^4+3 z^9 a^3-7 z^7 a^3-5 z^5 a^3+14 z^3 a^3-6 z a^3+3 z^8 a^2-12 z^6 a^2+15 z^4 a^2-8 z^2 a^2+2 a^2+z^7 a-4 z^5 a+5 z^3 a-2 z a }[/math] |
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