K13n4377
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Polynomial invariants
| Jones polynomial | Data:K13n4377/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+6 t^2-7 t+5-7 t^{-1} +6 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n4377/Conway Polynomial |
| Determinant | 33 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^{12}+z^2 a^{10}+z^4 a^8+3 z^2 a^8+a^8-z^6 a^6-3 z^4 a^6-z^2 a^6+2 z^4 a^4+5 z^2 a^4+a^4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^9 a^{13}-8 z^7 a^{13}+21 z^5 a^{13}-23 z^3 a^{13}+9 z a^{13}+z^{10} a^{12}-8 z^8 a^{12}+19 z^6 a^{12}-16 z^4 a^{12}+4 z^2 a^{12}-a^{12}+2 z^9 a^{11}-18 z^7 a^{11}+48 z^5 a^{11}-45 z^3 a^{11}+12 z a^{11}+z^{10} a^{10}-7 z^8 a^{10}+12 z^6 a^{10}+2 z^4 a^{10}-8 z^2 a^{10}+2 z^9 a^9-13 z^7 a^9+30 z^5 a^9-22 z^3 a^9+6 z a^9+3 z^8 a^8-12 z^6 a^8+21 z^4 a^8-10 z^2 a^8+a^8+z^9 a^7-2 z^7 a^7+4 z^5 a^7-5 z^3 a^7+4 z a^7+2 z^8 a^6-5 z^6 a^6+6 z^4 a^6-4 z^2 a^6+z^7 a^5+z^5 a^5-5 z^3 a^5+z a^5+3 z^4 a^4-6 z^2 a^4+a^4 }[/math] |
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