K13n3383
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Polynomial invariants
| Jones polynomial | Data:K13n3383/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-4 t^3+10 t^2-15 t+17-15 t^{-1} +10 t^{-2} -4 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n3383/Conway Polynomial |
| Determinant | 77 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-4} -z^6 a^{-2} +5 z^6 a^{-4} -3 z^4 a^{-2} +8 z^4 a^{-4} +2 z^4 a^{-6} -z^4 a^{-8} -2 z^2 a^{-2} +5 z^2 a^{-4} +5 z^2 a^{-6} -3 z^2 a^{-8} + a^{-4} +2 a^{-6} -2 a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{10} a^{-4} +2 z^{10} a^{-6} +5 z^9 a^{-3} +9 z^9 a^{-5} +4 z^9 a^{-7} +4 z^8 a^{-2} +4 z^8 a^{-4} -z^8 a^{-6} +z^8 a^{-10} +z^7 a^{-1} -14 z^7 a^{-3} -29 z^7 a^{-5} -18 z^7 a^{-7} -3 z^7 a^{-9} +z^7 a^{-11} -14 z^6 a^{-2} -34 z^6 a^{-4} -12 z^6 a^{-6} -8 z^6 a^{-10} -3 z^5 a^{-1} +2 z^5 a^{-3} +21 z^5 a^{-5} +32 z^5 a^{-7} +10 z^5 a^{-9} -6 z^5 a^{-11} +14 z^4 a^{-2} +35 z^4 a^{-4} +11 z^4 a^{-6} +4 z^4 a^{-8} +14 z^4 a^{-10} +3 z^3 a^{-1} +8 z^3 a^{-3} -4 z^3 a^{-5} -23 z^3 a^{-7} -6 z^3 a^{-9} +8 z^3 a^{-11} -5 z^2 a^{-2} -10 z^2 a^{-4} +z^2 a^{-6} +z^2 a^{-8} -5 z^2 a^{-10} -z a^{-1} -2 z a^{-3} +5 z a^{-7} +2 z a^{-9} -2 z a^{-11} + a^{-4} -2 a^{-6} -2 a^{-8} }[/math] |
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