K13n3121
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Polynomial invariants
| Jones polynomial | Data:K13n3121/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -4 t^3+18 t^2-32 t+37-32 t^{-1} +18 t^{-2} -4 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3121/Conway Polynomial |
| Determinant | 145 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^{10}-2 a^{10}+3 z^4 a^8+7 z^2 a^8+3 a^8-2 z^6 a^6-5 z^4 a^6-2 z^2 a^6-2 z^6 a^4-6 z^4 a^4-5 z^2 a^4-2 a^4+2 z^4 a^2+5 z^2 a^2+2 a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^5 a^{13}-2 z^3 a^{13}+z a^{13}+3 z^6 a^{12}-4 z^4 a^{12}+z^2 a^{12}+6 z^7 a^{11}-9 z^5 a^{11}+6 z^3 a^{11}-2 z a^{11}+8 z^8 a^{10}-13 z^6 a^{10}+12 z^4 a^{10}-7 z^2 a^{10}+2 a^{10}+7 z^9 a^9-8 z^7 a^9+2 z^5 a^9+3 z^3 a^9-z a^9+4 z^{10} a^8+z^8 a^8-11 z^6 a^8+14 z^4 a^8-9 z^2 a^8+3 a^8+z^{11} a^7+9 z^9 a^7-24 z^7 a^7+27 z^5 a^7-17 z^3 a^7+3 z a^7+6 z^{10} a^6-11 z^8 a^6+10 z^6 a^6-11 z^4 a^6+4 z^2 a^6+z^{11} a^5+3 z^9 a^5-9 z^7 a^5+6 z^5 a^5-4 z^3 a^5+2 z^{10} a^4-4 z^8 a^4+8 z^6 a^4-19 z^4 a^4+14 z^2 a^4-2 a^4+z^9 a^3+z^7 a^3-9 z^5 a^3+8 z^3 a^3-z a^3+3 z^6 a^2-10 z^4 a^2+9 z^2 a^2-2 a^2 }[/math] |
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