K13n3525
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Polynomial invariants
| Jones polynomial | Data:K13n3525/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-8 t^3+25 t^2-39 t+43-39 t^{-1} +25 t^{-2} -8 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n3525/Conway Polynomial |
| Determinant | 189 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^{10}+2 z^4 a^8+5 z^2 a^8+a^8-3 z^6 a^6-10 z^4 a^6-8 z^2 a^6-a^6+z^8 a^4+4 z^6 a^4+7 z^4 a^4+8 z^2 a^4+2 a^4-z^6 a^2-2 z^4 a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^4 a^{12}+6 z^5 a^{11}-4 z^3 a^{11}-2 z a^{11}+2 z^8 a^{10}+5 z^6 a^{10}-5 z^4 a^{10}+z^2 a^{10}+a^{10}+7 z^9 a^9-17 z^7 a^9+33 z^5 a^9-23 z^3 a^9+4 z a^9+7 z^{10} a^8-13 z^8 a^8+14 z^6 a^8-6 z^4 a^8+3 z^2 a^8+a^8+2 z^{11} a^7+17 z^9 a^7-65 z^7 a^7+85 z^5 a^7-49 z^3 a^7+10 z a^7+14 z^{10} a^6-26 z^8 a^6-7 z^6 a^6+27 z^4 a^6-11 z^2 a^6+a^6+2 z^{11} a^5+19 z^9 a^5-74 z^7 a^5+78 z^5 a^5-36 z^3 a^5+5 z a^5+7 z^{10} a^4-6 z^8 a^4-30 z^6 a^4+38 z^4 a^4-15 z^2 a^4+2 a^4+9 z^9 a^3-25 z^7 a^3+18 z^5 a^3-5 z^3 a^3+z a^3+5 z^8 a^2-14 z^6 a^2+11 z^4 a^2-2 z^2 a^2+z^7 a-2 z^5 a+z^3 a }[/math] |
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