K13n3483
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Polynomial invariants
| Jones polynomial | Data:K13n3483/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-8 t^3+28 t^2-55 t+69-55 t^{-1} +28 t^{-2} -8 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n3483/Conway Polynomial |
| Determinant | 253 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8-2 a^2 z^6-z^6 a^{-2} +3 z^6+a^4 z^4-5 a^2 z^4+z^4 a^{-2} +3 z^4+2 a^4 z^2-5 a^2 z^2+6 z^2 a^{-2} -2 z^2 a^{-4} +a^4-2 a^2+4 a^{-2} -2 a^{-4} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 a z^{11}+3 z^{11} a^{-1} +10 a^2 z^{10}+9 z^{10} a^{-2} +19 z^{10}+13 a^3 z^9+26 a z^9+22 z^9 a^{-1} +9 z^9 a^{-3} +9 a^4 z^8-2 a^2 z^8-6 z^8 a^{-2} +3 z^8 a^{-4} -20 z^8+4 a^5 z^7-23 a^3 z^7-70 a z^7-55 z^7 a^{-1} -12 z^7 a^{-3} +a^6 z^6-16 a^4 z^6-27 a^2 z^6-z^6 a^{-2} +6 z^6 a^{-4} -17 z^6-7 a^5 z^5+18 a^3 z^5+62 a z^5+45 z^5 a^{-1} +14 z^5 a^{-3} +6 z^5 a^{-5} -2 a^6 z^4+12 a^4 z^4+31 a^2 z^4-8 z^4 a^{-2} -14 z^4 a^{-4} +23 z^4+4 a^5 z^3-8 a^3 z^3-26 a z^3-21 z^3 a^{-1} -16 z^3 a^{-3} -9 z^3 a^{-5} +a^6 z^2-5 a^4 z^2-14 a^2 z^2+10 z^2 a^{-2} +7 z^2 a^{-4} -5 z^2-a^5 z+4 a z+6 z a^{-1} +6 z a^{-3} +3 z a^{-5} +a^4+2 a^2-4 a^{-2} -2 a^{-4} }[/math] |
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