K13n2242
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Polynomial invariants
| Jones polynomial | Data:K13n2242/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+11 t^2-28 t+37-28 t^{-1} +11 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n2242/Conway Polynomial |
| Determinant | 117 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^{12}+2 z^4 a^{10}+z^2 a^{10}-2 a^{10}-z^6 a^8-z^4 a^8+z^2 a^8+2 a^8+3 z^4 a^6+4 z^2 a^6+z^4 a^4+2 z^2 a^4+a^4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^7 a^{15}-3 z^5 a^{15}+3 z^3 a^{15}-z a^{15}+4 z^8 a^{14}-13 z^6 a^{14}+11 z^4 a^{14}-3 z^2 a^{14}+6 z^9 a^{13}-18 z^7 a^{13}+10 z^5 a^{13}+4 z^{10} a^{12}-5 z^8 a^{12}-16 z^6 a^{12}+18 z^4 a^{12}-4 z^2 a^{12}+z^{11} a^{11}+8 z^9 a^{11}-32 z^7 a^{11}+23 z^5 a^{11}+2 z^3 a^{11}-4 z a^{11}+6 z^{10} a^{10}-13 z^8 a^{10}-3 z^6 a^{10}+19 z^4 a^{10}-12 z^2 a^{10}+2 a^{10}+z^{11} a^9+3 z^9 a^9-13 z^7 a^9+10 z^5 a^9+7 z^3 a^9-5 z a^9+2 z^{10} a^8-4 z^8 a^8+4 z^6 a^8+6 z^4 a^8-7 z^2 a^8+2 a^8+z^9 a^7+2 z^5 a^7+4 z^6 a^6-5 z^4 a^6+2 z^2 a^6+2 z^5 a^5-2 z^3 a^5+z^4 a^4-2 z^2 a^4+a^4 }[/math] |
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