K13n2770
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Polynomial invariants
| Jones polynomial | Data:K13n2770/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-6 t^3+15 t^2-20 t+21-20 t^{-1} +15 t^{-2} -6 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n2770/Conway Polynomial |
| Determinant | 105 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^4 a^8+3 z^2 a^8+a^8-2 z^6 a^6-8 z^4 a^6-9 z^2 a^6-4 a^6+z^8 a^4+5 z^6 a^4+9 z^4 a^4+9 z^2 a^4+4 a^4-z^6 a^2-3 z^4 a^2-z^2 a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^4 a^{12}-z^2 a^{12}+3 z^5 a^{11}-3 z^3 a^{11}+z a^{11}+5 z^6 a^{10}-5 z^4 a^{10}+2 z^2 a^{10}+7 z^7 a^9-10 z^5 a^9+5 z^3 a^9+z a^9+z^{10} a^8+5 z^6 a^8-8 z^4 a^8+z^2 a^8+a^8+z^{11} a^7-z^9 a^7+5 z^7 a^7-11 z^5 a^7+8 z^3 a^7-3 z a^7+5 z^{10} a^6-14 z^8 a^6+11 z^6 a^6+3 z^4 a^6-12 z^2 a^6+4 a^6+z^{11} a^5+5 z^9 a^5-26 z^7 a^5+27 z^5 a^5-5 z^3 a^5-3 z a^5+4 z^{10} a^4-10 z^8 a^4-4 z^6 a^4+18 z^4 a^4-12 z^2 a^4+4 a^4+6 z^9 a^3-23 z^7 a^3+22 z^5 a^3-4 z^3 a^3+4 z^8 a^2-15 z^6 a^2+13 z^4 a^2-2 z^2 a^2+z^7 a-3 z^5 a+z^3 a }[/math] |
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