K13n4727
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Polynomial invariants
| Jones polynomial | Data:K13n4727/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^3-7 t^2+22 t-31+22 t^{-1} -7 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | Data:K13n4727/Conway Polynomial |
| Determinant | 91 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^{10}-2 z^4 a^8-2 z^2 a^8+z^6 a^6+2 z^4 a^6+z^2 a^6-2 a^6-z^4 a^4+2 z^2 a^4+3 a^4+z^2 a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^8 a^{12}-4 z^6 a^{12}+5 z^4 a^{12}-2 z^2 a^{12}+4 z^9 a^{11}-18 z^7 a^{11}+24 z^5 a^{11}-11 z^3 a^{11}+z a^{11}+5 z^{10} a^{10}-20 z^8 a^{10}+17 z^6 a^{10}+2 z^4 a^{10}-3 z^2 a^{10}+2 z^{11} a^9+z^9 a^9-34 z^7 a^9+52 z^5 a^9-23 z^3 a^9+4 z a^9+9 z^{10} a^8-37 z^8 a^8+36 z^6 a^8-6 z^4 a^8-z^2 a^8+2 z^{11} a^7-z^9 a^7-23 z^7 a^7+35 z^5 a^7-16 z^3 a^7+2 z a^7+4 z^{10} a^6-16 z^8 a^6+16 z^6 a^6-3 z^4 a^6-5 z^2 a^6+2 a^6+2 z^9 a^5-7 z^7 a^5+7 z^5 a^5-3 z^3 a^5-z a^5+z^6 a^4-4 z^2 a^4+3 a^4+z^3 a^3+z^2 a^2 }[/math] |
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