K12n548
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -3 q^3+7 q^2-10 q+14-14 q^{-1} +14 q^{-2} -11 q^{-3} +7 q^{-4} -4 q^{-5} + q^{-6} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^3+8 t^2-20 t+27-20 t^{-1} +8 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^6+2 z^4+3 z^2+1 }[/math] |
| Determinant | 85 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^2 z^6+a^4 z^4-3 a^2 z^4+4 z^4+a^4 z^2-5 a^2 z^2-3 z^2 a^{-2} +10 z^2-3 a^2-3 a^{-2} +7 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^2 z^{10}+z^{10}+4 a^3 z^9+5 a z^9+z^9 a^{-1} +6 a^4 z^8+7 a^2 z^8+z^8+4 a^5 z^7-5 a^3 z^7-8 a z^7+z^7 a^{-1} +a^6 z^6-17 a^4 z^6-25 a^2 z^6+3 z^6 a^{-2} -4 z^6-11 a^5 z^5-10 a^3 z^5-2 a z^5-3 z^5 a^{-1} -2 a^6 z^4+12 a^4 z^4+25 a^2 z^4+2 z^4 a^{-2} +13 z^4+6 a^5 z^3+13 a^3 z^3+14 a z^3+12 z^3 a^{-1} +5 z^3 a^{-3} -3 a^4 z^2-12 a^2 z^2-6 z^2 a^{-2} -15 z^2-4 a^3 z-9 a z-9 z a^{-1} -4 z a^{-3} +3 a^2+3 a^{-2} +7 }[/math] |
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