K12n855
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ 2 q^4-5 q^3+9 q^2-12 q+14-14 q^{-1} +12 q^{-2} -9 q^{-3} +5 q^{-4} -2 q^{-5} + q^{-6} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -3 t^3+10 t^2-18 t+23-18 t^{-1} +10 t^{-2} -3 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -3 z^6-8 z^4-5 z^2+1 }[/math] |
| Determinant | 85 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^2 z^6-2 z^6+a^4 z^4-3 a^2 z^4+2 z^4 a^{-2} -8 z^4+3 a^4 z^2-3 a^2 z^2+5 z^2 a^{-2} -10 z^2+2 a^4-a^2+3 a^{-2} -3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^2 z^{10}+z^{10}+3 a^3 z^9+5 a z^9+2 z^9 a^{-1} +3 a^4 z^8+3 a^2 z^8+2 z^8 a^{-2} +2 z^8+2 a^5 z^7-9 a^3 z^7-11 a z^7+z^7 a^{-1} +z^7 a^{-3} +a^6 z^6-9 a^4 z^6-12 a^2 z^6+2 z^6 a^{-2} -6 a^5 z^5+16 a^3 z^5+14 a z^5-5 z^5 a^{-1} +3 z^5 a^{-3} -4 a^6 z^4+11 a^4 z^4+17 a^2 z^4-8 z^4 a^{-2} +3 z^4 a^{-4} -9 z^4+4 a^5 z^3-17 a^3 z^3-10 a z^3+6 z^3 a^{-1} -5 z^3 a^{-3} +4 a^6 z^2-9 a^4 z^2-12 a^2 z^2+8 z^2 a^{-2} -4 z^2 a^{-4} +13 z^2+4 a^3 z+3 a z-z a^{-1} +2 a^4+a^2-3 a^{-2} -3 }[/math] |
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