K13n3519
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Polynomial invariants
| Jones polynomial | Data:K13n3519/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+7 t^3-14 t^2+18 t-19+18 t^{-1} -14 t^{-2} +7 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3519/Conway Polynomial |
| Determinant | 99 |
| Signature | -6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^{12}-2 z^4 a^{10}-8 z^2 a^{10}-6 a^{10}+3 z^6 a^8+14 z^4 a^8+18 z^2 a^8+6 a^8-z^8 a^6-5 z^6 a^6-8 z^4 a^6-5 z^2 a^6+z^6 a^4+4 z^4 a^4+4 z^2 a^4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^3 a^{15}+3 z^4 a^{14}-z^2 a^{14}+7 z^5 a^{13}-9 z^3 a^{13}+4 z a^{13}+2 z^8 a^{12}-z^6 a^{12}+z^4 a^{12}-2 z^2 a^{12}+a^{12}+4 z^9 a^{11}-11 z^7 a^{11}+13 z^5 a^{11}-7 z^3 a^{11}-2 z a^{11}+3 z^{10} a^{10}-4 z^8 a^{10}-11 z^6 a^{10}+21 z^4 a^{10}-17 z^2 a^{10}+6 a^{10}+z^{11} a^9+5 z^9 a^9-25 z^7 a^9+18 z^5 a^9+5 z^3 a^9-7 z a^9+6 z^{10} a^8-18 z^8 a^8+3 z^6 a^8+16 z^4 a^8-11 z^2 a^8+6 a^8+z^{11} a^7+4 z^9 a^7-29 z^7 a^7+36 z^5 a^7-11 z^3 a^7-z a^7+3 z^{10} a^6-11 z^8 a^6+8 z^6 a^6+z^4 a^6+z^2 a^6+3 z^9 a^5-15 z^7 a^5+24 z^5 a^5-13 z^3 a^5+z^8 a^4-5 z^6 a^4+8 z^4 a^4-4 z^2 a^4 }[/math] |
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