K13n3719
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Polynomial invariants
| Jones polynomial | Data:K13n3719/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-7 t^3+26 t^2-58 t+77-58 t^{-1} +26 t^{-2} -7 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n3719/Conway Polynomial |
| Determinant | 261 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8-a^2 z^6-2 z^6 a^{-2} +4 z^6-a^2 z^4-4 z^4 a^{-2} +z^4 a^{-4} +8 z^4-a^4 z^2-a^2 z^2-3 z^2 a^{-2} +4 z^2+a^2+ a^{-2} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 a z^{11}+3 z^{11} a^{-1} +8 a^2 z^{10}+12 z^{10} a^{-2} +20 z^{10}+6 a^3 z^9+20 a z^9+33 z^9 a^{-1} +19 z^9 a^{-3} +a^4 z^8-12 a^2 z^8+5 z^8 a^{-2} +15 z^8 a^{-4} -23 z^8-9 a^3 z^7-58 a z^7-85 z^7 a^{-1} -30 z^7 a^{-3} +6 z^7 a^{-5} +8 a^4 z^6+22 a^2 z^6-53 z^6 a^{-2} -25 z^6 a^{-4} +z^6 a^{-6} -13 z^6+3 a^5 z^5+21 a^3 z^5+69 a z^5+63 z^5 a^{-1} +6 z^5 a^{-3} -6 z^5 a^{-5} -14 a^4 z^4-21 a^2 z^4+36 z^4 a^{-2} +9 z^4 a^{-4} +20 z^4-5 a^5 z^3-22 a^3 z^3-37 a z^3-19 z^3 a^{-1} +z^3 a^{-3} +6 a^4 z^2+8 a^2 z^2-2 z^2 a^{-2} +z^2 a^{-4} -z^2+2 a^5 z+6 a^3 z+5 a z+z a^{-1} -a^2- a^{-2} -1 }[/math] |
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