K12n774
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q-2+5 q^{-1} -6 q^{-2} +8 q^{-3} -9 q^{-4} +7 q^{-5} -6 q^{-6} +4 q^{-7} -2 q^{-8} + q^{-9} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -4 t^2+13 t-17+13 t^{-1} -4 t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ -4 z^4-3 z^2+1 }[/math] |
| Determinant | 51 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^8+a^8-z^4 a^6-z^2 a^6-2 z^4 a^4-4 z^2 a^4-3 a^4-z^4 a^2+2 a^2+z^2+1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^6 a^{10}-4 z^4 a^{10}+3 z^2 a^{10}+2 z^7 a^9-7 z^5 a^9+4 z^3 a^9+3 z^8 a^8-12 z^6 a^8+14 z^4 a^8-8 z^2 a^8+a^8+3 z^9 a^7-14 z^7 a^7+25 z^5 a^7-23 z^3 a^7+8 z a^7+z^{10} a^6-z^8 a^6-8 z^6 a^6+19 z^4 a^6-11 z^2 a^6+4 z^9 a^5-20 z^7 a^5+41 z^5 a^5-35 z^3 a^5+13 z a^5+z^{10} a^4-4 z^8 a^4+8 z^6 a^4-5 z^4 a^4+5 z^2 a^4-3 a^4+z^9 a^3-4 z^7 a^3+11 z^5 a^3-11 z^3 a^3+5 z a^3+3 z^6 a^2-5 z^4 a^2+3 z^2 a^2-2 a^2+2 z^5 a-3 z^3 a+z^4-2 z^2+1 }[/math] |
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