K13n2445
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Polynomial invariants
| Jones polynomial | Data:K13n2445/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+2 t^3-4 t+7-4 t^{-1} +2 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n2445/Conway Polynomial |
| Determinant | 9 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8+a^2 z^6-7 z^6+5 a^2 z^4+2 z^4 a^{-2} +z^4 a^{-4} -16 z^4+7 a^2 z^2+6 z^2 a^{-2} +z^2 a^{-4} -16 z^2+3 a^2+5 a^{-2} - a^{-4} -6 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +2 a^2 z^{10}+z^{10} a^{-2} +3 z^{10}+2 a^3 z^9-5 a z^9-7 z^9 a^{-1} +a^4 z^8-12 a^2 z^8-8 z^8 a^{-2} +2 z^8 a^{-4} -23 z^8-12 a^3 z^7+a z^7+13 z^7 a^{-1} +3 z^7 a^{-3} +3 z^7 a^{-5} -6 a^4 z^6+19 a^2 z^6+22 z^6 a^{-2} -6 z^6 a^{-4} +z^6 a^{-6} +54 z^6+20 a^3 z^5+13 a z^5-7 z^5 a^{-1} -11 z^5 a^{-3} -11 z^5 a^{-5} +10 a^4 z^4-12 a^2 z^4-30 z^4 a^{-2} -3 z^4 a^{-6} -55 z^4-12 a^3 z^3-12 a z^3-3 z^3 a^{-1} +5 z^3 a^{-3} +8 z^3 a^{-5} -5 a^4 z^2+8 a^2 z^2+17 z^2 a^{-2} +3 z^2 a^{-4} +2 z^2 a^{-6} +29 z^2+3 a^3 z+5 a z+3 z a^{-1} +z a^{-3} -3 a^2-5 a^{-2} - a^{-4} -6 }[/math] |
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