K13n4078
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Polynomial invariants
| Jones polynomial | Data:K13n4078/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-6 t^3+20 t^2-39 t+49-39 t^{-1} +20 t^{-2} -6 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n4078/Conway Polynomial |
| Determinant | 181 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8-a^2 z^6-z^6 a^{-2} +4 z^6-2 a^2 z^4+6 z^4-2 a^2 z^2+4 z^2 a^{-2} -2 z^2 a^{-4} +3 z^2-a^2+3 a^{-2} -2 a^{-4} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 4 z^{10} a^{-2} +4 z^{10}+14 a z^9+21 z^9 a^{-1} +7 z^9 a^{-3} +19 a^2 z^8+9 z^8 a^{-2} +3 z^8 a^{-4} +25 z^8+13 a^3 z^7-9 a z^7-32 z^7 a^{-1} -10 z^7 a^{-3} +5 a^4 z^6-30 a^2 z^6-24 z^6 a^{-2} +3 z^6 a^{-4} -62 z^6+a^5 z^5-15 a^3 z^5-17 a z^5+5 z^5 a^{-1} +12 z^5 a^{-3} +6 z^5 a^{-5} -2 a^4 z^4+16 a^2 z^4+8 z^4 a^{-2} -10 z^4 a^{-4} +36 z^4+6 a^3 z^3+13 a z^3+3 z^3 a^{-1} -14 z^3 a^{-3} -10 z^3 a^{-5} -5 a^2 z^2+5 z^2 a^{-2} +6 z^2 a^{-4} -6 z^2-2 a^3 z-3 a z+z a^{-1} +6 z a^{-3} +4 z a^{-5} +a^2-3 a^{-2} -2 a^{-4} +1 }[/math] |
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