K13n190
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Polynomial invariants
| Jones polynomial | Data:K13n190/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+13 t^2-27 t+33-27 t^{-1} +13 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n190/Conway Polynomial |
| Determinant | 117 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^{12}-a^{12}+2 z^4 a^{10}+3 z^2 a^{10}-z^6 a^8-z^4 a^8+2 z^2 a^8+2 a^8-z^6 a^6-2 z^4 a^6-2 z^2 a^6-2 a^6+2 z^4 a^4+5 z^2 a^4+2 a^4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^7 a^{15}-4 z^5 a^{15}+5 z^3 a^{15}-2 z a^{15}+3 z^8 a^{14}-11 z^6 a^{14}+11 z^4 a^{14}-3 z^2 a^{14}+4 z^9 a^{13}-12 z^7 a^{13}+7 z^5 a^{13}-z^3 a^{13}+z a^{13}+3 z^{10} a^{12}-5 z^8 a^{12}-5 z^6 a^{12}+3 z^4 a^{12}+2 z^2 a^{12}-a^{12}+z^{11} a^{11}+5 z^9 a^{11}-23 z^7 a^{11}+24 z^5 a^{11}-13 z^3 a^{11}+2 z a^{11}+6 z^{10} a^{10}-16 z^8 a^{10}+11 z^6 a^{10}+z^4 a^{10}-4 z^2 a^{10}+z^{11} a^9+5 z^9 a^9-23 z^7 a^9+31 z^5 a^9-12 z^3 a^9+z a^9+3 z^{10} a^8-5 z^8 a^8-3 z^6 a^8+20 z^4 a^8-12 z^2 a^8+2 a^8+4 z^9 a^7-12 z^7 a^7+19 z^5 a^7-9 z^3 a^7+3 z a^7+3 z^8 a^6-8 z^6 a^6+14 z^4 a^6-10 z^2 a^6+2 a^6+z^7 a^5+z^5 a^5-4 z^3 a^5+z a^5+3 z^4 a^4-7 z^2 a^4+2 a^4 }[/math] |
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