K12n434
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ 2 q^2-5 q+8-10 q^{-1} +11 q^{-2} -10 q^{-3} +9 q^{-4} -6 q^{-5} +3 q^{-6} - q^{-7} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^3+6 t^2-15 t+21-15 t^{-1} +6 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 1-z^6 }[/math] |
| Determinant | 65 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^6-a^6+2 z^4 a^4+4 z^2 a^4+2 a^4-z^6 a^2-3 z^4 a^2-3 z^2 a^2+z^4-1+ a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^4 z^{10}+a^2 z^{10}+3 a^5 z^9+5 a^3 z^9+2 a z^9+3 a^6 z^8+4 a^4 z^8+2 a^2 z^8+z^8+a^7 z^7-8 a^5 z^7-13 a^3 z^7-4 a z^7-12 a^6 z^6-25 a^4 z^6-14 a^2 z^6-z^6-4 a^7 z^5-2 a^5 z^5-a z^5+z^5 a^{-1} +14 a^6 z^4+27 a^4 z^4+14 a^2 z^4+z^4+5 a^7 z^3+10 a^5 z^3+10 a^3 z^3+8 a z^3+3 z^3 a^{-1} -6 a^6 z^2-11 a^4 z^2-4 a^2 z^2+2 z^2 a^{-2} +3 z^2-2 a^7 z-4 a^5 z-4 a^3 z-4 a z-2 z a^{-1} +a^6+2 a^4- a^{-2} -1 }[/math] |
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