K12n313
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^5-2 q^4+2 q^3-2 q^2+q+1- q^{-1} +2 q^{-2} -2 q^{-3} +2 q^{-4} - q^{-5} }[/math] |
| Alexander polynomial | 1 |
| Conway polynomial | 1 |
| Determinant | 1 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^4-a^4+z^4 a^2+3 z^2 a^2+2 a^2+1-z^4 a^{-2} -3 z^2 a^{-2} -2 a^{-2} +z^2 a^{-4} + a^{-4} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10}+a z^9+3 z^9 a^{-1} +2 z^9 a^{-3} -5 z^8 a^{-2} +z^8 a^{-4} -6 z^8+a^3 z^7-7 a z^7-21 z^7 a^{-1} -13 z^7 a^{-3} +2 a^4 z^6+a^2 z^6+2 z^6 a^{-2} -6 z^6 a^{-4} +7 z^6+a^5 z^5-3 a^3 z^5+13 a z^5+42 z^5 a^{-1} +25 z^5 a^{-3} -7 a^4 z^4-6 a^2 z^4+11 z^4 a^{-2} +10 z^4 a^{-4} +2 z^4-3 a^5 z^3-a^3 z^3-10 a z^3-29 z^3 a^{-1} -17 z^3 a^{-3} +4 a^4 z^2+6 a^2 z^2-10 z^2 a^{-2} -5 z^2 a^{-4} -3 z^2+a^5 z+2 a^3 z+4 a z+6 z a^{-1} +3 z a^{-3} -a^4-2 a^2+2 a^{-2} + a^{-4} +1 }[/math] |
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