K12n334
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^3-2 q^2+4 q-7+9 q^{-1} -10 q^{-2} +11 q^{-3} -8 q^{-4} +6 q^{-5} -4 q^{-6} + q^{-7} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -4 t^2+16 t-23+16 t^{-1} -4 t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ 1-4 z^4 }[/math] |
| Determinant | 63 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^6-a^6-z^4 a^4+z^2 a^4+2 a^4-2 z^4 a^2-2 z^2 a^2-z^4-z^2-1+z^2 a^{-2} + a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^4 z^{10}+a^2 z^{10}+2 a^5 z^9+4 a^3 z^9+2 a z^9+a^6 z^8-2 a^4 z^8-a^2 z^8+2 z^8-8 a^5 z^7-15 a^3 z^7-5 a z^7+2 z^7 a^{-1} +4 a^4 z^6-a^2 z^6+z^6 a^{-2} -4 z^6+4 a^7 z^5+20 a^5 z^5+26 a^3 z^5+3 a z^5-7 z^5 a^{-1} +a^8 z^4-a^4 z^4+a^2 z^4-4 z^4 a^{-2} -3 z^4-6 a^7 z^3-16 a^5 z^3-16 a^3 z^3+6 z^3 a^{-1} -a^8 z^2-a^6 z^2+a^2 z^2+4 z^2 a^{-2} +5 z^2+2 a^5 z+2 a^3 z-2 a z-2 z a^{-1} +a^6+2 a^4- a^{-2} -1 }[/math] |
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