K13n1407
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Polynomial invariants
| Jones polynomial | Data:K13n1407/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-12 t^2+31 t-41+31 t^{-1} -12 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n1407/Conway Polynomial |
| Determinant | 131 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^8-2 z^4 a^6-2 z^2 a^6+z^6 a^4+z^4 a^4-a^4+z^6 a^2+2 z^4 a^2+3 z^2 a^2+2 a^2-z^4-z^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^5 z^{11}+a^3 z^{11}+4 a^6 z^{10}+6 a^4 z^{10}+2 a^2 z^{10}+7 a^7 z^9+8 a^5 z^9+2 a^3 z^9+a z^9+7 a^8 z^8-3 a^6 z^8-16 a^4 z^8-6 a^2 z^8+4 a^9 z^7-17 a^7 z^7-30 a^5 z^7-9 a^3 z^7+a^{10} z^6-19 a^8 z^6-12 a^6 z^6+24 a^4 z^6+20 a^2 z^6+4 z^6-10 a^9 z^5+11 a^7 z^5+43 a^5 z^5+25 a^3 z^5+4 a z^5+z^5 a^{-1} -2 a^{10} z^4+13 a^8 z^4+18 a^6 z^4-14 a^4 z^4-25 a^2 z^4-8 z^4+4 a^9 z^3-3 a^7 z^3-24 a^5 z^3-25 a^3 z^3-10 a z^3-2 z^3 a^{-1} -3 a^8 z^2-5 a^6 z^2+4 a^4 z^2+10 a^2 z^2+4 z^2+a^7 z+5 a^5 z+7 a^3 z+4 a z+z a^{-1} -a^4-2 a^2 }[/math] |
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