K12n214
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^4+2 q^3-3 q^2+3 q-1+ q^{-1} + q^{-2} -2 q^{-3} +3 q^{-4} -3 q^{-5} +2 q^{-6} - q^{-7} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^3-t^2-t+3- t^{-1} - t^{-2} + t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^6+5 z^4+4 z^2+1 }[/math] |
| Determinant | 1 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^6-a^6+z^4 a^4+2 z^2 a^4+a^4-z^2 a^2-a^2+z^6+5 z^4+7 z^2+4-z^4 a^{-2} -3 z^2 a^{-2} -2 a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^2 z^{10}+z^{10}+a^5 z^9+2 a^3 z^9+3 a z^9+2 z^9 a^{-1} +2 a^6 z^8+3 a^4 z^8-5 a^2 z^8+2 z^8 a^{-2} -4 z^8+a^7 z^7-3 a^5 z^7-13 a^3 z^7-20 a z^7-10 z^7 a^{-1} +z^7 a^{-3} -10 a^6 z^6-17 a^4 z^6-10 z^6 a^{-2} -3 z^6-5 a^7 z^5-4 a^5 z^5+21 a^3 z^5+35 a z^5+10 z^5 a^{-1} -5 z^5 a^{-3} +13 a^6 z^4+22 a^4 z^4+12 a^2 z^4+12 z^4 a^{-2} +15 z^4+7 a^7 z^3+8 a^5 z^3-14 a^3 z^3-22 a z^3-z^3 a^{-1} +6 z^3 a^{-3} -6 a^6 z^2-9 a^4 z^2-9 a^2 z^2-6 z^2 a^{-2} -12 z^2-3 a^7 z-2 a^5 z+4 a^3 z+4 a z-z a^{-1} -2 z a^{-3} +a^6+a^4+a^2+2 a^{-2} +4 }[/math] |
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