K12n634
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^4+3 q^3-5 q^2+7 q-7+8 q^{-1} -7 q^{-2} +5 q^{-3} -3 q^{-4} + q^{-5} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^3-5 t^2+11 t-13+11 t^{-1} -5 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^6+z^4+1 }[/math] |
| Determinant | 47 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6-2 a^2 z^4-z^4 a^{-2} +4 z^4+a^4 z^2-5 a^2 z^2-2 z^2 a^{-2} +6 z^2+a^4-3 a^2- a^{-2} +4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^2 z^{10}+2 z^{10}+3 a^3 z^9+8 a z^9+5 z^9 a^{-1} +a^4 z^8-6 a^2 z^8+4 z^8 a^{-2} -3 z^8-16 a^3 z^7-41 a z^7-24 z^7 a^{-1} +z^7 a^{-3} -5 a^4 z^6-7 a^2 z^6-19 z^6 a^{-2} -21 z^6+26 a^3 z^5+60 a z^5+30 z^5 a^{-1} -4 z^5 a^{-3} +8 a^4 z^4+26 a^2 z^4+23 z^4 a^{-2} +41 z^4-15 a^3 z^3-30 a z^3-13 z^3 a^{-1} +2 z^3 a^{-3} -5 a^4 z^2-17 a^2 z^2-10 z^2 a^{-2} -z^2 a^{-4} -21 z^2+2 a^3 z+4 a z+2 z a^{-1} +a^4+3 a^2+ a^{-2} +4 }[/math] |
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