K12n834
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{10}-5 q^9+10 q^8-15 q^7+18 q^6-19 q^5+18 q^4-13 q^3+9 q^2-4 q+1 }[/math] |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+12 t^2-26 t+33-26 t^{-1} +12 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -2 z^6+4 z^2+1 }[/math] |
| Determinant | 113 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-4} -z^6 a^{-6} +z^4 a^{-2} -z^4 a^{-4} -z^4 a^{-6} +z^4 a^{-8} +z^2 a^{-2} +2 z^2 a^{-4} +z^2 a^{-6} +2 a^{-4} - a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{10} a^{-6} +2 z^{10} a^{-8} +6 z^9 a^{-5} +10 z^9 a^{-7} +4 z^9 a^{-9} +7 z^8 a^{-4} +8 z^8 a^{-6} +3 z^8 a^{-8} +2 z^8 a^{-10} +4 z^7 a^{-3} -10 z^7 a^{-5} -23 z^7 a^{-7} -9 z^7 a^{-9} +z^6 a^{-2} -17 z^6 a^{-4} -29 z^6 a^{-6} -11 z^6 a^{-8} -9 z^5 a^{-3} +23 z^5 a^{-7} +19 z^5 a^{-9} +5 z^5 a^{-11} -2 z^4 a^{-2} +11 z^4 a^{-4} +24 z^4 a^{-6} +14 z^4 a^{-8} +4 z^4 a^{-10} +z^4 a^{-12} +4 z^3 a^{-3} -14 z^3 a^{-7} -14 z^3 a^{-9} -4 z^3 a^{-11} +z^2 a^{-2} -5 z^2 a^{-4} -7 z^2 a^{-6} -4 z^2 a^{-8} -4 z^2 a^{-10} -z^2 a^{-12} +4 z a^{-7} +4 z a^{-9} +2 a^{-4} - a^{-8} }[/math] |
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