K13n1939
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Polynomial invariants
| Jones polynomial | Data:K13n1939/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^3-2 t^2-2 t+7-2 t^{-1} -2 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | Data:K13n1939/Conway Polynomial |
| Determinant | 5 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +5 z^4 a^{-2} -z^4 a^{-4} -2 a^2 z^2+6 z^2 a^{-2} -3 z^2 a^{-4} -2 z^2+a^4-a^2+3 a^{-2} - a^{-4} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +3 z^{10} a^{-2} +2 z^{10} a^{-4} +z^{10}-7 z^9 a^{-1} -6 z^9 a^{-3} +z^9 a^{-5} -23 z^8 a^{-2} -15 z^8 a^{-4} -8 z^8+14 z^7 a^{-1} +7 z^7 a^{-3} -7 z^7 a^{-5} +a^2 z^6+55 z^6 a^{-2} +36 z^6 a^{-4} +20 z^6+2 a^3 z^5+a z^5-11 z^5 a^{-1} +5 z^5 a^{-3} +15 z^5 a^{-5} +a^4 z^4-52 z^4 a^{-2} -34 z^4 a^{-4} -19 z^4-4 a^3 z^3-a z^3+8 z^3 a^{-1} -6 z^3 a^{-3} -11 z^3 a^{-5} -2 a^4 z^2-4 a^2 z^2+22 z^2 a^{-2} +12 z^2 a^{-4} +8 z^2+a^3 z-a z-3 z a^{-1} +z a^{-5} +a^4+a^2-3 a^{-2} - a^{-4} -1 }[/math] |
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