K12n446
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^8+2 q^7-3 q^6+3 q^5-2 q^4+2 q^3-q+2-2 q^{-1} + q^{-2} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^3+2 t^2+3 t-7+3 t^{-1} +2 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^6-4 z^4+2 z^2+1 }[/math] |
| Determinant | 7 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -5 z^4 a^{-2} +z^4-5 z^2 a^{-2} +2 z^2 a^{-4} +2 z^2 a^{-6} +3 z^2- a^{-2} + a^{-4} + a^{-6} - a^{-8} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10} a^{-4} +2 z^9 a^{-1} +3 z^9 a^{-3} +z^9 a^{-5} -5 z^8 a^{-2} -6 z^8 a^{-4} +z^8-13 z^7 a^{-1} -21 z^7 a^{-3} -7 z^7 a^{-5} +z^7 a^{-7} +z^6 a^{-2} +7 z^6 a^{-4} +2 z^6 a^{-6} +2 z^6 a^{-8} -6 z^6+24 z^5 a^{-1} +40 z^5 a^{-3} +14 z^5 a^{-5} -z^5 a^{-7} +z^5 a^{-9} +13 z^4 a^{-2} +2 z^4 a^{-4} -7 z^4 a^{-6} -6 z^4 a^{-8} +10 z^4-15 z^3 a^{-1} -23 z^3 a^{-3} -10 z^3 a^{-5} -5 z^3 a^{-7} -3 z^3 a^{-9} -9 z^2 a^{-2} -2 z^2 a^{-4} +4 z^2 a^{-6} +3 z^2 a^{-8} -6 z^2+2 z a^{-1} +4 z a^{-3} +2 z a^{-5} +2 z a^{-7} +2 z a^{-9} + a^{-2} + a^{-4} - a^{-6} - a^{-8} +1 }[/math] |
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