K13n259
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Polynomial invariants
| Jones polynomial | Data:K13n259/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^5-3 t^4+5 t^3-4 t^2+2 t-1+2 t^{-1} -4 t^{-2} +5 t^{-3} -3 t^{-4} + t^{-5} }[/math] |
| Conway polynomial | Data:K13n259/Conway Polynomial |
| Determinant | 31 |
| Signature | -6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^4 a^{10}+3 z^2 a^{10}+2 a^{10}-z^8 a^8-8 z^6 a^8-22 z^4 a^8-26 z^2 a^8-11 a^8+z^{10} a^6+9 z^8 a^6+31 z^6 a^6+53 z^4 a^6+45 z^2 a^6+14 a^6-z^8 a^4-7 z^6 a^4-16 z^4 a^4-14 z^2 a^4-4 a^4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z a^{13}+z^2 a^{12}+z^6 a^{10}-5 z^4 a^{10}+4 z^2 a^{10}-2 a^{10}+2 z^9 a^9-13 z^7 a^9+28 z^5 a^9-29 z^3 a^9+10 z a^9+3 z^{10} a^8-21 z^8 a^8+52 z^6 a^8-65 z^4 a^8+41 z^2 a^8-11 a^8+z^{11} a^7-2 z^9 a^7-17 z^7 a^7+56 z^5 a^7-58 z^3 a^7+20 z a^7+5 z^{10} a^6-35 z^8 a^6+84 z^6 a^6-94 z^4 a^6+56 z^2 a^6-14 a^6+z^{11} a^5-3 z^9 a^5-11 z^7 a^5+44 z^5 a^5-43 z^3 a^5+13 z a^5+2 z^{10} a^4-14 z^8 a^4+33 z^6 a^4-34 z^4 a^4+18 z^2 a^4-4 a^4+z^9 a^3-7 z^7 a^3+16 z^5 a^3-14 z^3 a^3+4 z a^3 }[/math] |
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