K13n2228
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Polynomial invariants
| Jones polynomial | Data:K13n2228/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 3 t^3-15 t^2+35 t-45+35 t^{-1} -15 t^{-2} +3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2228/Conway Polynomial |
| Determinant | 151 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^4 a^8-z^2 a^8+z^6 a^6+z^4 a^6-z^2 a^6-2 a^6+2 z^6 a^4+6 z^4 a^4+8 z^2 a^4+4 a^4-3 z^4 a^2-5 z^2 a^2-2 a^2+z^2+1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^7 a^{11}-3 z^5 a^{11}+2 z^3 a^{11}+4 z^8 a^{10}-13 z^6 a^{10}+11 z^4 a^{10}-2 z^2 a^{10}+7 z^9 a^9-23 z^7 a^9+22 z^5 a^9-10 z^3 a^9+2 z a^9+6 z^{10} a^8-14 z^8 a^8+3 z^6 a^8+z^4 a^8+2 z^{11} a^7+8 z^9 a^7-41 z^7 a^7+46 z^5 a^7-23 z^3 a^7+3 z a^7+11 z^{10} a^6-31 z^8 a^6+26 z^6 a^6-6 z^4 a^6-4 z^2 a^6+2 a^6+2 z^{11} a^5+6 z^9 a^5-32 z^7 a^5+45 z^5 a^5-22 z^3 a^5+3 z a^5+5 z^{10} a^4-11 z^8 a^4+7 z^6 a^4+14 z^4 a^4-14 z^2 a^4+4 a^4+5 z^9 a^3-15 z^7 a^3+28 z^5 a^3-16 z^3 a^3+3 z a^3+2 z^8 a^2-3 z^6 a^2+11 z^4 a^2-10 z^2 a^2+2 a^2+4 z^5 a-5 z^3 a+z a+z^4-2 z^2+1 }[/math] |
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