K12n375
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ 2 q^{10}-5 q^9+7 q^8-10 q^7+10 q^6-9 q^5+8 q^4-4 q^3+2 q^2 }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^3+6 t^2-13 t+17-13 t^{-1} +6 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^6+2 z^2+1 }[/math] |
| Determinant | 57 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-6} +2 z^4 a^{-4} -3 z^4 a^{-6} +z^4 a^{-8} +5 z^2 a^{-4} -3 z^2 a^{-6} +3 a^{-4} - a^{-6} -2 a^{-8} + a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^9 a^{-7} +z^9 a^{-9} +2 z^8 a^{-6} +4 z^8 a^{-8} +2 z^8 a^{-10} +z^7 a^{-5} +z^7 a^{-7} +z^7 a^{-9} +z^7 a^{-11} -3 z^6 a^{-6} -5 z^6 a^{-8} -2 z^6 a^{-10} +z^5 a^{-5} +z^5 a^{-7} +3 z^5 a^{-9} +3 z^5 a^{-11} +3 z^4 a^{-4} +6 z^4 a^{-6} +3 z^4 a^{-8} +3 z^4 a^{-10} +3 z^4 a^{-12} -z^3 a^{-5} -4 z^3 a^{-7} -11 z^3 a^{-9} -8 z^3 a^{-11} -6 z^2 a^{-4} -6 z^2 a^{-6} +z^2 a^{-8} -3 z^2 a^{-10} -4 z^2 a^{-12} -2 z a^{-5} +2 z a^{-7} +8 z a^{-9} +4 z a^{-11} +3 a^{-4} + a^{-6} -2 a^{-8} - a^{-10} }[/math] |
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