K12n310
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^7+2 q^6-3 q^5+3 q^4-3 q^3+4 q^2-2 q+2- q^{-1} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 2 t^2-5 t+7-5 t^{-1} +2 t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ 2 z^4+3 z^2+1 }[/math] |
| Determinant | 21 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^4 a^{-2} +z^4 a^{-4} +3 z^2 a^{-2} +2 z^2 a^{-4} -z^2 a^{-6} -z^2+3 a^{-2} - a^{-6} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10} a^{-4} +z^9 a^{-1} +3 z^9 a^{-3} +2 z^9 a^{-5} -6 z^8 a^{-2} -4 z^8 a^{-4} +2 z^8 a^{-6} -7 z^7 a^{-1} -18 z^7 a^{-3} -10 z^7 a^{-5} +z^7 a^{-7} +11 z^6 a^{-2} +z^6 a^{-4} -10 z^6 a^{-6} +16 z^5 a^{-1} +33 z^5 a^{-3} +12 z^5 a^{-5} -5 z^5 a^{-7} -9 z^4 a^{-2} +4 z^4 a^{-4} +12 z^4 a^{-6} -z^4-a z^3-16 z^3 a^{-1} -25 z^3 a^{-3} -4 z^3 a^{-5} +6 z^3 a^{-7} +4 z^2 a^{-2} -2 z^2 a^{-4} -4 z^2 a^{-6} +2 z^2+2 a z+6 z a^{-1} +7 z a^{-3} +z a^{-5} -2 z a^{-7} -3 a^{-2} + a^{-6} -1 }[/math] |
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