K13n2906
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Polynomial invariants
| Jones polynomial | Data:K13n2906/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+5 t^2-4 t+1-4 t^{-1} +5 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n2906/Conway Polynomial |
| Determinant | 21 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^{12}+2 z^2 a^{10}+2 a^{10}-z^4 a^8-3 z^2 a^8-4 a^8+2 z^4 a^6+7 z^2 a^6+4 a^6-z^6 a^4-3 z^4 a^4-z^2 a^4+z^4 a^2+2 z^2 a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^9 a^{13}-7 z^7 a^{13}+16 z^5 a^{13}-15 z^3 a^{13}+5 z a^{13}+2 z^{10} a^{12}-14 z^8 a^{12}+31 z^6 a^{12}-27 z^4 a^{12}+8 z^2 a^{12}-a^{12}+z^{11} a^{11}-4 z^9 a^{11}-6 z^7 a^{11}+31 z^5 a^{11}-28 z^3 a^{11}+6 z a^{11}+4 z^{10} a^{10}-29 z^8 a^{10}+61 z^6 a^{10}-47 z^4 a^{10}+15 z^2 a^{10}-2 a^{10}+z^{11} a^9-5 z^9 a^9-3 z^7 a^9+25 z^5 a^9-18 z^3 a^9+5 z a^9+2 z^{10} a^8-16 z^8 a^8+36 z^6 a^8-33 z^4 a^8+19 z^2 a^8-4 a^8+z^9 a^7-7 z^7 a^7+14 z^5 a^7-12 z^3 a^7+5 z a^7+2 z^8 a^6-4 z^6 a^6-5 z^4 a^6+8 z^2 a^6-4 a^6+z^9 a^5-6 z^5 a^5+z a^5+3 z^8 a^4-9 z^6 a^4+5 z^4 a^4-2 z^2 a^4+3 z^7 a^3-10 z^5 a^3+7 z^3 a^3+z^6 a^2-3 z^4 a^2+2 z^2 a^2 }[/math] |
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