K13n1421
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Polynomial invariants
| Jones polynomial | Data:K13n1421/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-7 t^3+11 t^2-7 t+3-7 t^{-1} +11 t^{-2} -7 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n1421/Conway Polynomial |
| Determinant | 57 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^{10}+a^{10}-z^6 a^8-6 z^4 a^8-9 z^2 a^8-5 a^8+z^8 a^6+6 z^6 a^6+12 z^4 a^6+12 z^2 a^6+4 a^6+z^8 a^4+5 z^6 a^4+7 z^4 a^4+5 z^2 a^4+2 a^4-z^6 a^2-4 z^4 a^2-3 z^2 a^2-a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^7 z^{11}+a^5 z^{11}+2 a^8 z^{10}+5 a^6 z^{10}+3 a^4 z^{10}+a^9 z^9-2 a^7 z^9+a^5 z^9+4 a^3 z^9-13 a^8 z^8-27 a^6 z^8-11 a^4 z^8+3 a^2 z^8-7 a^9 z^7-12 a^7 z^7-23 a^5 z^7-17 a^3 z^7+a z^7+30 a^8 z^6+46 a^6 z^6+3 a^4 z^6-13 a^2 z^6+18 a^9 z^5+39 a^7 z^5+40 a^5 z^5+15 a^3 z^5-4 a z^5-30 a^8 z^4-32 a^6 z^4+11 a^4 z^4+13 a^2 z^4-19 a^9 z^3-36 a^7 z^3-21 a^5 z^3-a^3 z^3+3 a z^3+a^{10} z^2+16 a^8 z^2+12 a^6 z^2-8 a^4 z^2-5 a^2 z^2+8 a^9 z+11 a^7 z+3 a^5 z-a^3 z-a z-a^{10}-5 a^8-4 a^6+2 a^4+a^2 }[/math] |
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