K13n2520
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Polynomial invariants
| Jones polynomial | Data:K13n2520/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+14 t^2-40 t+57-40 t^{-1} +14 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2520/Conway Polynomial |
| Determinant | 169 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -z^6+2 a^2 z^4-z^4 a^{-2} +z^4 a^{-4} -a^4 z^2+a^2 z^2-2 z^2 a^{-2} -z^2 a^{-4} +z^2- a^{-2} - a^{-4} + a^{-6} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +6 z^{10} a^{-2} +2 z^{10} a^{-4} +4 z^{10}+8 a z^9+12 z^9 a^{-1} +5 z^9 a^{-3} +z^9 a^{-5} +10 a^2 z^8+z^8 a^{-2} +11 z^8+8 a^3 z^7-a z^7-17 z^7 a^{-1} -5 z^7 a^{-3} +3 z^7 a^{-5} +4 a^4 z^6-12 a^2 z^6-23 z^6 a^{-2} -3 z^6 a^{-4} +3 z^6 a^{-6} -33 z^6+a^5 z^5-11 a^3 z^5-16 a z^5-9 z^5 a^{-1} -18 z^5 a^{-3} -13 z^5 a^{-5} -5 a^4 z^4+5 a^2 z^4+17 z^4 a^{-2} -7 z^4 a^{-4} -8 z^4 a^{-6} +26 z^4-a^5 z^3+6 a^3 z^3+14 a z^3+17 z^3 a^{-1} +22 z^3 a^{-3} +12 z^3 a^{-5} +2 a^4 z^2-a^2 z^2-4 z^2 a^{-2} +8 z^2 a^{-4} +6 z^2 a^{-6} -9 z^2-a^3 z-3 a z-5 z a^{-1} -7 z a^{-3} -4 z a^{-5} + a^{-2} - a^{-4} - a^{-6} +2 }[/math] |
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