K12n479
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^9-3 q^8+6 q^7-9 q^6+12 q^5-14 q^4+13 q^3-11 q^2+8 q-4+2 q^{-1} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -6 t^2+21 t-29+21 t^{-1} -6 t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ -6 z^4-3 z^2+1 }[/math] |
| Determinant | 83 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -2 z^4 a^{-2} -3 z^4 a^{-4} -z^4 a^{-6} -2 z^2 a^{-2} -5 z^2 a^{-4} +z^2 a^{-6} +z^2 a^{-8} +2 z^2-3 a^{-4} +2 a^{-6} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-4} +z^{10} a^{-6} +2 z^9 a^{-3} +5 z^9 a^{-5} +3 z^9 a^{-7} +2 z^8 a^{-2} +z^8 a^{-4} +3 z^8 a^{-6} +4 z^8 a^{-8} +z^7 a^{-1} -2 z^7 a^{-3} -12 z^7 a^{-5} -6 z^7 a^{-7} +3 z^7 a^{-9} -2 z^6 a^{-2} +z^6 a^{-4} -9 z^6 a^{-6} -11 z^6 a^{-8} +z^6 a^{-10} +z^5 a^{-1} +2 z^5 a^{-3} +15 z^5 a^{-5} +5 z^5 a^{-7} -9 z^5 a^{-9} +3 z^4 a^{-2} -8 z^4 a^{-4} +3 z^4 a^{-6} +8 z^4 a^{-8} -3 z^4 a^{-10} +3 z^4-2 z^3 a^{-1} +3 z^3 a^{-3} -9 z^3 a^{-5} -8 z^3 a^{-7} +6 z^3 a^{-9} -2 z^2 a^{-2} +12 z^2 a^{-4} +3 z^2 a^{-6} -3 z^2 a^{-8} +2 z^2 a^{-10} -6 z^2-z a^{-1} -2 z a^{-3} +2 z a^{-5} +3 z a^{-7} -3 a^{-4} -2 a^{-6} +2 }[/math] |
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