K13n2505
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Polynomial invariants
| Jones polynomial | Data:K13n2505/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-7 t^3+23 t^2-44 t+55-44 t^{-1} +23 t^{-2} -7 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n2505/Conway Polynomial |
| Determinant | 205 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^8-a^4 z^6+5 a^2 z^6-3 z^6-3 a^4 z^4+12 a^2 z^4+2 z^4 a^{-2} -10 z^4-4 a^4 z^2+13 a^2 z^2+3 z^2 a^{-2} -11 z^2-2 a^4+5 a^2+ a^{-2} -3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 a^3 z^{11}+3 a z^{11}+7 a^4 z^{10}+17 a^2 z^{10}+10 z^{10}+7 a^5 z^9+10 a^3 z^9+15 a z^9+12 z^9 a^{-1} +4 a^6 z^8-12 a^4 z^8-42 a^2 z^8+6 z^8 a^{-2} -20 z^8+a^7 z^7-18 a^5 z^7-44 a^3 z^7-55 a z^7-29 z^7 a^{-1} +z^7 a^{-3} -12 a^6 z^6-3 a^4 z^6+38 a^2 z^6-2 z^6 a^{-2} +27 z^6-3 a^7 z^5+11 a^5 z^5+41 a^3 z^5+63 a z^5+45 z^5 a^{-1} +9 z^5 a^{-3} +11 a^6 z^4+4 a^4 z^4-30 a^2 z^4+3 z^4 a^{-4} -26 z^4+3 a^7 z^3-a^5 z^3-18 a^3 z^3-34 a z^3-30 z^3 a^{-1} -10 z^3 a^{-3} -3 a^6 z^2+3 a^4 z^2+18 a^2 z^2+z^2 a^{-2} -2 z^2 a^{-4} +15 z^2-a^7 z+4 a^3 z+7 a z+6 z a^{-1} +2 z a^{-3} -2 a^4-5 a^2- a^{-2} -3 }[/math] |
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