K12n252
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^3+4 q^2-8 q+12-14 q^{-1} +15 q^{-2} -13 q^{-3} +11 q^{-4} -7 q^{-5} +3 q^{-6} - q^{-7} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+10 t^2-20 t+25-20 t^{-1} +10 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -2 z^6-2 z^4+2 z^2+1 }[/math] |
| Determinant | 89 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^6-2 a^6+3 z^4 a^4+8 z^2 a^4+5 a^4-2 z^6 a^2-8 z^4 a^2-11 z^2 a^2-5 a^2+3 z^4+7 z^2+4-z^2 a^{-2} - a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^4 z^{10}+2 a^2 z^{10}+4 a^5 z^9+10 a^3 z^9+6 a z^9+3 a^6 z^8+2 a^4 z^8+5 a^2 z^8+6 z^8+a^7 z^7-12 a^5 z^7-34 a^3 z^7-19 a z^7+2 z^7 a^{-1} -11 a^6 z^6-27 a^4 z^6-37 a^2 z^6-21 z^6-4 a^7 z^5+6 a^5 z^5+33 a^3 z^5+21 a z^5-2 z^5 a^{-1} +12 a^6 z^4+35 a^4 z^4+53 a^2 z^4+4 z^4 a^{-2} +34 z^4+5 a^7 z^3+a^5 z^3-14 a^3 z^3-6 a z^3+5 z^3 a^{-1} +z^3 a^{-3} -6 a^6 z^2-20 a^4 z^2-29 a^2 z^2-4 z^2 a^{-2} -19 z^2-2 a^7 z-a^5 z+2 a^3 z-2 z a^{-1} -z a^{-3} +2 a^6+5 a^4+5 a^2+ a^{-2} +4 }[/math] |
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