K12n414
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q+3-3 q^{-1} +4 q^{-2} -4 q^{-3} +4 q^{-4} -3 q^{-5} +2 q^{-6} - q^{-7} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 2 t^2-6 t+9-6 t^{-1} +2 t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ 2 z^4+2 z^2+1 }[/math] |
| Determinant | 25 |
| 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^4 a^2+2 z^2 a^2+a^2-z^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^4 z^{10}+a^2 z^{10}+2 a^5 z^9+3 a^3 z^9+a z^9+2 a^6 z^8-4 a^4 z^8-6 a^2 z^8+a^7 z^7-10 a^5 z^7-18 a^3 z^7-7 a z^7-10 a^6 z^6+2 a^4 z^6+12 a^2 z^6-5 a^7 z^5+14 a^5 z^5+36 a^3 z^5+17 a z^5+13 a^6 z^4+3 a^4 z^4-11 a^2 z^4-z^4+6 a^7 z^3-9 a^5 z^3-32 a^3 z^3-18 a z^3-z^3 a^{-1} -5 a^6 z^2-4 a^4 z^2+4 a^2 z^2+3 z^2-a^7 z+3 a^5 z+9 a^3 z+7 a z+2 z a^{-1} +a^6+a^4-a^2 }[/math] |
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