K13n3455
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Polynomial invariants
| Jones polynomial | Data:K13n3455/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-15 t^2+46 t-65+46 t^{-1} -15 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3455/Conway Polynomial |
| Determinant | 191 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^{10}+4 z^2 a^8+2 a^8-5 z^4 a^6-7 z^2 a^6-3 a^6+2 z^6 a^4+5 z^4 a^4+8 z^2 a^4+3 a^4-3 z^4 a^2-2 z^2 a^2+z^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^7 a^{11}-3 z^5 a^{11}+3 z^3 a^{11}-z a^{11}+4 z^8 a^{10}-11 z^6 a^{10}+10 z^4 a^{10}-4 z^2 a^{10}+a^{10}+8 z^9 a^9-22 z^7 a^9+19 z^5 a^9-10 z^3 a^9+4 z a^9+7 z^{10} a^8-8 z^8 a^8-20 z^6 a^8+27 z^4 a^8-12 z^2 a^8+2 a^8+2 z^{11} a^7+18 z^9 a^7-66 z^7 a^7+66 z^5 a^7-35 z^3 a^7+8 z a^7+13 z^{10} a^6-17 z^8 a^6-26 z^6 a^6+44 z^4 a^6-22 z^2 a^6+3 a^6+2 z^{11} a^5+16 z^9 a^5-52 z^7 a^5+54 z^5 a^5-25 z^3 a^5+4 z a^5+6 z^{10} a^4-3 z^8 a^4-14 z^6 a^4+29 z^4 a^4-16 z^2 a^4+3 a^4+6 z^9 a^3-9 z^7 a^3+15 z^5 a^3-6 z^3 a^3+z a^3+2 z^8 a^2+3 z^6 a^2+3 z^4 a^2-3 z^2 a^2+5 z^5 a-3 z^3 a+z^4-z^2 }[/math] |
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