K12n216
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^2+3 q-6+10 q^{-1} -12 q^{-2} +14 q^{-3} -13 q^{-4} +11 q^{-5} -7 q^{-6} +4 q^{-7} -2 q^{-8} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-8 t^2+19 t-25+19 t^{-1} -8 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 2 z^6+4 z^4+5 z^2+1 }[/math] |
| Determinant | 83 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^8-z^4 a^6-z^2 a^6+z^6 a^4+3 z^4 a^4+4 z^2 a^4+a^4+z^6 a^2+3 z^4 a^2+4 z^2 a^2+2 a^2-z^4-2 z^2-1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^6 z^{10}+a^4 z^{10}+2 a^7 z^9+5 a^5 z^9+3 a^3 z^9+a^8 z^8+a^6 z^8+4 a^4 z^8+4 a^2 z^8-6 a^7 z^7-13 a^5 z^7-3 a^3 z^7+4 a z^7-7 a^6 z^6-14 a^4 z^6-4 a^2 z^6+3 z^6+3 a^9 z^5+12 a^7 z^5+15 a^5 z^5-5 a z^5+z^5 a^{-1} -5 a^8 z^4+11 a^6 z^4+19 a^4 z^4-3 a^2 z^4-6 z^4-9 a^9 z^3-15 a^7 z^3-3 a^5 z^3+3 a^3 z^3-2 a z^3-2 z^3 a^{-1} +3 a^8 z^2-5 a^6 z^2-7 a^4 z^2+4 a^2 z^2+3 z^2+5 a^9 z+5 a^7 z-a^5 z-a^3 z+a z+z a^{-1} -a^8+a^4-2 a^2-1 }[/math] |
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