K12n384
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ 2 q^{10}-6 q^9+11 q^8-16 q^7+18 q^6-19 q^5+17 q^4-12 q^3+8 q^2-3 q+1 }[/math] |
| Alexander polynomial | [math]\displaystyle{ -3 t^3+13 t^2-25 t+31-25 t^{-1} +13 t^{-2} -3 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -3 z^6-5 z^4+1 }[/math] |
| Determinant | 113 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-4} -2 z^6 a^{-6} +z^4 a^{-2} -z^4 a^{-4} -7 z^4 a^{-6} +2 z^4 a^{-8} +2 z^2 a^{-2} +3 z^2 a^{-4} -9 z^2 a^{-6} +4 z^2 a^{-8} + a^{-2} +3 a^{-4} -5 a^{-6} +2 a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-6} +z^{10} a^{-8} +4 z^9 a^{-5} +7 z^9 a^{-7} +3 z^9 a^{-9} +5 z^8 a^{-4} +12 z^8 a^{-6} +10 z^8 a^{-8} +3 z^8 a^{-10} +3 z^7 a^{-3} -2 z^7 a^{-5} -3 z^7 a^{-7} +3 z^7 a^{-9} +z^7 a^{-11} +z^6 a^{-2} -11 z^6 a^{-4} -34 z^6 a^{-6} -21 z^6 a^{-8} +z^6 a^{-10} -7 z^5 a^{-3} -11 z^5 a^{-5} -19 z^5 a^{-7} -10 z^5 a^{-9} +5 z^5 a^{-11} -3 z^4 a^{-2} +8 z^4 a^{-4} +32 z^4 a^{-6} +16 z^4 a^{-8} -2 z^4 a^{-10} +3 z^4 a^{-12} +4 z^3 a^{-3} +11 z^3 a^{-5} +23 z^3 a^{-7} +10 z^3 a^{-9} -6 z^3 a^{-11} +3 z^2 a^{-2} -6 z^2 a^{-4} -18 z^2 a^{-6} -6 z^2 a^{-8} -3 z^2 a^{-12} -5 z a^{-5} -9 z a^{-7} -3 z a^{-9} +z a^{-11} - a^{-2} +3 a^{-4} +5 a^{-6} +2 a^{-8} }[/math] |
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