K13a2783
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Polynomial invariants
| Jones polynomial | Data:K13a2783/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^5-5 t^4+12 t^3-18 t^2+22 t-23+22 t^{-1} -18 t^{-2} +12 t^{-3} -5 t^{-4} + t^{-5} }[/math] |
| Conway polynomial | Data:K13a2783/Conway Polynomial |
| Determinant | 139 |
| Signature | -6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{10}+5 z^4 a^{10}+7 z^2 a^{10}+3 a^{10}-2 z^8 a^8-13 z^6 a^8-29 z^4 a^8-27 z^2 a^8-9 a^8+z^{10} a^6+8 z^8 a^6+25 z^6 a^6+39 z^4 a^6+29 z^2 a^6+7 a^6-z^8 a^4-6 z^6 a^4-11 z^4 a^4-6 z^2 a^4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^4 a^{16}-z^2 a^{16}+3 z^5 a^{15}-3 z^3 a^{15}+5 z^6 a^{14}-5 z^4 a^{14}+z^2 a^{14}+7 z^7 a^{13}-11 z^5 a^{13}+8 z^3 a^{13}-2 z a^{13}+8 z^8 a^{12}-16 z^6 a^{12}+11 z^4 a^{12}-z^2 a^{12}+8 z^9 a^{11}-20 z^7 a^{11}+15 z^5 a^{11}-4 z^3 a^{11}+z a^{11}+7 z^{10} a^{10}-22 z^8 a^{10}+24 z^6 a^{10}-19 z^4 a^{10}+10 z^2 a^{10}-3 a^{10}+4 z^{11} a^9-8 z^9 a^9-13 z^7 a^9+36 z^5 a^9-32 z^3 a^9+10 z a^9+z^{12} a^8+8 z^{10} a^8-57 z^8 a^8+111 z^6 a^8-103 z^4 a^8+47 z^2 a^8-9 a^8+7 z^{11} a^7-32 z^9 a^7+40 z^7 a^7-8 z^5 a^7-13 z^3 a^7+6 z a^7+z^{12} a^6+4 z^{10} a^6-46 z^8 a^6+107 z^6 a^6-104 z^4 a^6+47 z^2 a^6-7 a^6+3 z^{11} a^5-15 z^9 a^5+20 z^7 a^5-4 z^5 a^5-2 z^3 a^5-z a^5+3 z^{10} a^4-19 z^8 a^4+41 z^6 a^4-37 z^4 a^4+13 z^2 a^4+z^9 a^3-6 z^7 a^3+11 z^5 a^3-6 z^3 a^3 }[/math] |
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