K13n2481
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Polynomial invariants
| Jones polynomial | Data:K13n2481/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+9 t^2-18 t+21-18 t^{-1} +9 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n2481/Conway Polynomial |
| Determinant | 77 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^{12}-2 a^{12}+2 z^4 a^{10}+5 z^2 a^{10}+3 a^{10}-z^6 a^8-3 z^4 a^8-4 z^2 a^8-3 a^8+3 z^4 a^6+7 z^2 a^6+3 a^6+z^4 a^4+2 z^2 a^4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^7 a^{15}-5 z^5 a^{15}+8 z^3 a^{15}-4 z a^{15}+2 z^8 a^{14}-8 z^6 a^{14}+8 z^4 a^{14}-z^2 a^{14}+2 z^9 a^{13}-5 z^7 a^{13}-2 z^5 a^{13}+6 z^3 a^{13}-z a^{13}+2 z^{10} a^{12}-7 z^8 a^{12}+12 z^6 a^{12}-21 z^4 a^{12}+14 z^2 a^{12}-2 a^{12}+z^{11} a^{11}-2 z^9 a^{11}+z^7 a^{11}-z^5 a^{11}-4 z^3 a^{11}+z a^{11}+4 z^{10} a^{10}-19 z^8 a^{10}+41 z^6 a^{10}-44 z^4 a^{10}+18 z^2 a^{10}-3 a^{10}+z^{11} a^9-3 z^9 a^9+5 z^7 a^9-3 z^5 a^9+3 z^3 a^9-2 z a^9+2 z^{10} a^8-10 z^8 a^8+25 z^6 a^8-26 z^4 a^8+16 z^2 a^8-3 a^8+z^9 a^7-2 z^7 a^7+3 z^5 a^7+2 z^3 a^7+4 z^6 a^6-10 z^4 a^6+11 z^2 a^6-3 a^6+2 z^5 a^5-3 z^3 a^5+z^4 a^4-2 z^2 a^4 }[/math] |
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