K13n2778
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Polynomial invariants
| Jones polynomial | Data:K13n2778/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-8 t^2+12 t-11+12 t^{-1} -8 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2778/Conway Polynomial |
| Determinant | 55 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^6+z^6-a^4 z^4+3 a^2 z^4-z^4 a^{-2} +3 z^4-2 a^4 z^2+2 a^2 z^2-3 z^2 a^{-2} +z^2+a^2- a^{-2} + a^{-4} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^3 z^{11}+2 a z^{11}+3 a^4 z^{10}+8 a^2 z^{10}+5 z^{10}+a^5 z^9-8 a^3 z^9-4 a z^9+5 z^9 a^{-1} -19 a^4 z^8-47 a^2 z^8+2 z^8 a^{-2} -26 z^8-6 a^5 z^7-a^3 z^7-22 a z^7-27 z^7 a^{-1} +40 a^4 z^6+86 a^2 z^6-10 z^6 a^{-2} +36 z^6+12 a^5 z^5+28 a^3 z^5+55 a z^5+39 z^5 a^{-1} -33 a^4 z^4-61 a^2 z^4+9 z^4 a^{-2} -19 z^4-9 a^5 z^3-26 a^3 z^3-35 a z^3-22 z^3 a^{-1} -4 z^3 a^{-3} +9 a^4 z^2+17 a^2 z^2-4 z^2 a^{-2} -2 z^2 a^{-4} +6 z^2+2 a^5 z+6 a^3 z+6 a z+4 z a^{-1} +2 z a^{-3} -a^2+ a^{-2} + a^{-4} }[/math] |
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