K13n3629
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Polynomial invariants
| Jones polynomial | Data:K13n3629/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+19 t^2-49 t+65-49 t^{-1} +19 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3629/Conway Polynomial |
| Determinant | 205 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^{12}+2 z^4 a^{10}-z^2 a^{10}-3 a^{10}-z^6 a^8+2 z^4 a^8+6 z^2 a^8+3 a^8-z^6 a^6+z^4 a^6+3 z^2 a^6+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}-11 z^6 a^{14}+10 z^4 a^{14}-3 z^2 a^{14}+8 z^9 a^{13}-22 z^7 a^{13}+20 z^5 a^{13}-10 z^3 a^{13}+4 z a^{13}+7 z^{10} a^{12}-8 z^8 a^{12}-16 z^6 a^{12}+19 z^4 a^{12}-4 z^2 a^{12}+2 z^{11} a^{11}+18 z^9 a^{11}-59 z^7 a^{11}+48 z^5 a^{11}-16 z^3 a^{11}+2 z a^{11}+13 z^{10} a^{10}-12 z^8 a^{10}-31 z^6 a^{10}+37 z^4 a^{10}-16 z^2 a^{10}+3 a^{10}+2 z^{11} a^9+17 z^9 a^9-39 z^7 a^9+16 z^5 a^9+4 z^3 a^9-3 z a^9+6 z^{10} a^8+4 z^8 a^8-21 z^6 a^8+18 z^4 a^8-8 z^2 a^8+3 a^8+7 z^9 a^7-2 z^7 a^7-2 z^5 a^7+2 z^3 a^7+4 z^8 a^6+5 z^6 a^6-7 z^4 a^6+5 z^2 a^6-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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