K12n38
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^4+3 q^3-5 q^2+8 q-10+11 q^{-1} -10 q^{-2} +9 q^{-3} -6 q^{-4} +3 q^{-5} - q^{-6} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^3-6 t^2+16 t-21+16 t^{-1} -6 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^6+z^2+1 }[/math] |
| Determinant | 67 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^6+3 z^2 a^4+3 a^4-3 z^4 a^2-7 z^2 a^2-4 a^2+z^6+4 z^4+7 z^2+4-z^4 a^{-2} -2 z^2 a^{-2} - a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^2 z^{10}+z^{10}+3 a^3 z^9+6 a z^9+3 z^9 a^{-1} +3 a^4 z^8+4 a^2 z^8+3 z^8 a^{-2} +4 z^8+a^5 z^7-9 a^3 z^7-21 a z^7-10 z^7 a^{-1} +z^7 a^{-3} -10 a^4 z^6-26 a^2 z^6-13 z^6 a^{-2} -29 z^6+10 a^3 z^5+19 a z^5+5 z^5 a^{-1} -4 z^5 a^{-3} +3 a^6 z^4+18 a^4 z^4+39 a^2 z^4+16 z^4 a^{-2} +40 z^4+a^7 z^3+2 a^5 z^3-3 a^3 z^3-5 a z^3+3 z^3 a^{-1} +4 z^3 a^{-3} -3 a^6 z^2-12 a^4 z^2-23 a^2 z^2-7 z^2 a^{-2} -21 z^2-a^7 z-a^5 z-a z-2 z a^{-1} -z a^{-3} +a^6+3 a^4+4 a^2+ a^{-2} +4 }[/math] |
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