K12n324
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^7-3 q^6+6 q^5-9 q^4+11 q^3-11 q^2+10 q-8+5 q^{-1} -2 q^{-2} + q^{-3} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -5 t^2+17 t-23+17 t^{-1} -5 t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ -5 z^4-3 z^2+1 }[/math] |
| Determinant | 67 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -3 z^4 a^{-2} -z^4 a^{-4} -z^4+a^2 z^2-6 z^2 a^{-2} +z^2 a^{-4} +z^2 a^{-6} +a^2-3 a^{-2} +2 a^{-4} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10} a^{-4} +3 z^9 a^{-1} +5 z^9 a^{-3} +2 z^9 a^{-5} +2 z^8 a^{-2} +z^8 a^{-6} +3 z^8+2 a z^7-10 z^7 a^{-1} -19 z^7 a^{-3} -7 z^7 a^{-5} +a^2 z^6-16 z^6 a^{-2} -7 z^6 a^{-4} -z^6 a^{-6} -9 z^6-6 a z^5+14 z^5 a^{-1} +31 z^5 a^{-3} +14 z^5 a^{-5} +3 z^5 a^{-7} -4 a^2 z^4+28 z^4 a^{-2} +18 z^4 a^{-4} +2 z^4 a^{-6} +z^4 a^{-8} +7 z^4+3 a z^3-13 z^3 a^{-1} -19 z^3 a^{-3} -8 z^3 a^{-5} -5 z^3 a^{-7} +4 a^2 z^2-19 z^2 a^{-2} -10 z^2 a^{-4} -z^2 a^{-6} -2 z^2 a^{-8} -4 z^2+3 z a^{-1} +4 z a^{-3} +2 z a^{-5} +z a^{-7} -a^2+3 a^{-2} +2 a^{-4} +1 }[/math] |
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