K13n2489
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Polynomial invariants
| Jones polynomial | Data:K13n2489/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-6 t^3+17 t^2-29 t+35-29 t^{-1} +17 t^{-2} -6 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n2489/Conway Polynomial |
| Determinant | 141 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^8-a^4 z^6+5 a^2 z^6-2 z^6-3 a^4 z^4+10 a^2 z^4+z^4 a^{-2} -7 z^4-3 a^4 z^2+10 a^2 z^2+2 z^2 a^{-2} -8 z^2-2 a^4+5 a^2+ a^{-2} -3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 a^3 z^{11}+3 a z^{11}+8 a^4 z^{10}+14 a^2 z^{10}+6 z^{10}+8 a^5 z^9+2 a^3 z^9-2 a z^9+4 z^9 a^{-1} +4 a^6 z^8-29 a^4 z^8-58 a^2 z^8+z^8 a^{-2} -24 z^8+a^7 z^7-30 a^5 z^7-41 a^3 z^7-22 a z^7-12 z^7 a^{-1} -13 a^6 z^6+31 a^4 z^6+89 a^2 z^6+3 z^6 a^{-2} +48 z^6-3 a^7 z^5+31 a^5 z^5+67 a^3 z^5+55 a z^5+26 z^5 a^{-1} +4 z^5 a^{-3} +8 a^6 z^4-18 a^4 z^4-63 a^2 z^4-4 z^4 a^{-2} +z^4 a^{-4} -42 z^4+a^7 z^3-14 a^5 z^3-41 a^3 z^3-44 a z^3-23 z^3 a^{-1} -5 z^3 a^{-3} -a^6 z^2+8 a^4 z^2+22 a^2 z^2+3 z^2 a^{-2} -z^2 a^{-4} +17 z^2+4 a^5 z+10 a^3 z+11 a z+7 z a^{-1} +2 z a^{-3} -2 a^4-5 a^2- a^{-2} -3 }[/math] |
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