K13n3649
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Polynomial invariants
| Jones polynomial | Data:K13n3649/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^4+9 t^3-17 t^2+19 t-17+19 t^{-1} -17 t^{-2} +9 t^{-3} -2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n3649/Conway Polynomial |
| Determinant | 111 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^2 z^8-z^8+a^4 z^6-5 a^2 z^6+z^6 a^{-2} -4 z^6+5 a^4 z^4-8 a^2 z^4+3 z^4 a^{-2} -3 z^4-a^6 z^2+6 a^4 z^2-7 a^2 z^2+z^2 a^{-2} +z^2-a^6+3 a^4-3 a^2+2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a z^{11}+2 z^{11} a^{-1} +5 a^2 z^{10}+5 z^{10} a^{-2} +10 z^{10}+5 a^3 z^9+3 a z^9+2 z^9 a^{-1} +4 z^9 a^{-3} +3 a^4 z^8-15 a^2 z^8-20 z^8 a^{-2} +z^8 a^{-4} -39 z^8+a^5 z^7-16 a^3 z^7-35 a z^7-36 z^7 a^{-1} -18 z^7 a^{-3} -8 a^4 z^6+8 a^2 z^6+19 z^6 a^{-2} -4 z^6 a^{-4} +39 z^6+18 a^3 z^5+48 a z^5+54 z^5 a^{-1} +24 z^5 a^{-3} +3 a^6 z^4+13 a^4 z^4+6 a^2 z^4-z^4 a^{-2} +5 z^4 a^{-4} -10 z^4+a^7 z^3+2 a^5 z^3-9 a^3 z^3-24 a z^3-24 z^3 a^{-1} -10 z^3 a^{-3} -3 a^6 z^2-10 a^4 z^2-10 a^2 z^2-2 z^2 a^{-2} -2 z^2 a^{-4} -3 z^2-a^7 z-a^5 z+2 a^3 z+4 a z+3 z a^{-1} +z a^{-3} +a^6+3 a^4+3 a^2+2 }[/math] |
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