K12n584
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^7-4 q^6+8 q^5-12 q^4+15 q^3-15 q^2+14 q-11+7 q^{-1} -3 q^{-2} + q^{-3} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^3-8 t^2+22 t-29+22 t^{-1} -8 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^6-2 z^4-z^2+1 }[/math] |
| Determinant | 91 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +2 z^4 a^{-2} -2 z^4 a^{-4} -2 z^4+a^2 z^2+2 z^2 a^{-2} -2 z^2 a^{-4} +z^2 a^{-6} -3 z^2+a^2+ a^{-2} -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} +5 z^8 a^{-2} +2 z^8 a^{-4} +z^8 a^{-6} +4 z^8+3 a z^7-z^7 a^{-1} -7 z^7 a^{-3} -3 z^7 a^{-5} +a^2 z^6-10 z^6 a^{-2} +2 z^6 a^{-6} -7 z^6-8 a z^5-9 z^5 a^{-1} +6 z^5 a^{-3} +11 z^5 a^{-5} +4 z^5 a^{-7} -3 a^2 z^4-z^4 a^{-2} -3 z^4 a^{-4} +z^4 a^{-8} -2 z^4+6 a z^3+4 z^3 a^{-1} -8 z^3 a^{-3} -10 z^3 a^{-5} -4 z^3 a^{-7} +3 a^2 z^2+3 z^2 a^{-2} +2 z^2 a^{-4} -z^2 a^{-8} +5 z^2-a z+3 z a^{-3} +3 z a^{-5} +z a^{-7} -a^2- a^{-2} -1 }[/math] |
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