K12n356
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ 2 q^4-5 q^3+8 q^2-10 q+11-10 q^{-1} +8 q^{-2} -5 q^{-3} +2 q^{-4} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^3+5 t^2-14 t+21-14 t^{-1} +5 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^6-z^4-3 z^2+1 }[/math] |
| Determinant | 61 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6+a^2 z^4+z^4 a^{-2} -3 z^4-3 z^2+a^4-a^2- a^{-2} + a^{-4} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^9+z^9 a^{-1} +2 a^2 z^8+2 z^8 a^{-2} +4 z^8+a^3 z^7+2 a z^7+2 z^7 a^{-1} +z^7 a^{-3} -a^2 z^6-z^6 a^{-2} -2 z^6+3 a^3 z^5+a z^5+z^5 a^{-1} +3 z^5 a^{-3} +3 a^4 z^4+2 a^2 z^4+2 z^4 a^{-2} +3 z^4 a^{-4} -2 z^4-6 a^3 z^3-7 a z^3-7 z^3 a^{-1} -6 z^3 a^{-3} -4 a^4 z^2-4 a^2 z^2-4 z^2 a^{-2} -4 z^2 a^{-4} +2 a^3 z+3 a z+3 z a^{-1} +2 z a^{-3} +a^4+a^2+ a^{-2} + a^{-4} +1 }[/math] |
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