K13n3199
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Polynomial invariants
| Jones polynomial | Data:K13n3199/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+18 t^2-46 t+61-46 t^{-1} +18 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3199/Conway Polynomial |
| Determinant | 193 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^{12}+2 z^4 a^{10}-2 a^{10}-z^6 a^8+z^4 a^8+3 z^2 a^8+a^8-z^6 a^6+z^4 a^6+4 z^2 a^6+2 a^6+2 z^4 a^4+2 z^2 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}-12 z^6 a^{14}+11 z^4 a^{14}-3 z^2 a^{14}+7 z^9 a^{13}-19 z^7 a^{13}+14 z^5 a^{13}-3 z^3 a^{13}+z a^{13}+6 z^{10} a^{12}-7 z^8 a^{12}-14 z^6 a^{12}+17 z^4 a^{12}-3 z^2 a^{12}+2 z^{11} a^{11}+13 z^9 a^{11}-43 z^7 a^{11}+29 z^5 a^{11}-2 z^3 a^{11}-3 z a^{11}+12 z^{10} a^{10}-16 z^8 a^{10}-12 z^6 a^{10}+17 z^4 a^{10}-8 z^2 a^{10}+2 a^{10}+2 z^{11} a^9+13 z^9 a^9-28 z^7 a^9+6 z^5 a^9+9 z^3 a^9-5 z a^9+6 z^{10} a^8-z^8 a^8-5 z^6 a^8-z^4 a^8+z^2 a^8+a^8+7 z^9 a^7-4 z^7 a^7+z^5 a^7+4 z^8 a^6+5 z^6 a^6-9 z^4 a^6+7 z^2 a^6-2 a^6+z^7 a^5+7 z^5 a^5-5 z^3 a^5+3 z^4 a^4-2 z^2 a^4 }[/math] |
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