K12n395
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ 1-4 q^{-1} +8 q^{-2} -10 q^{-3} +13 q^{-4} -13 q^{-5} +12 q^{-6} -9 q^{-7} +5 q^{-8} -2 q^{-9} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^3+8 t^2-18 t+23-18 t^{-1} +8 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^6+2 z^4+5 z^2+1 }[/math] |
| Determinant | 77 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -2 z^2 a^8-2 a^8+3 z^4 a^6+6 z^2 a^6+2 a^6-z^6 a^4-2 z^4 a^4+a^4+z^4 a^2+z^2 a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^3 a^{11}-2 z a^{11}+z^6 a^{10}+3 z^4 a^{10}-3 z^2 a^{10}+z^9 a^9-3 z^7 a^9+9 z^5 a^9-4 z^3 a^9+z a^9+z^{10} a^8-z^8 a^8+5 z^4 a^8+z^2 a^8-2 a^8+5 z^9 a^7-14 z^7 a^7+17 z^5 a^7-9 z^3 a^7+3 z a^7+z^{10} a^6+5 z^8 a^6-18 z^6 a^6+12 z^4 a^6+z^2 a^6-2 a^6+4 z^9 a^5-7 z^7 a^5-2 z^5 a^5+z^3 a^5+6 z^8 a^4-16 z^6 a^4+8 z^4 a^4-2 z^2 a^4+a^4+4 z^7 a^3-10 z^5 a^3+4 z^3 a^3+z^6 a^2-2 z^4 a^2+z^2 a^2 }[/math] |
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