K13n3672
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Polynomial invariants
| Jones polynomial | Data:K13n3672/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^4+11 t^3-28 t^2+47 t-55+47 t^{-1} -28 t^{-2} +11 t^{-3} -2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n3672/Conway Polynomial |
| Determinant | 231 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-2} -z^8 a^{-4} -4 z^6 a^{-2} -3 z^6 a^{-4} +z^6 a^{-6} +z^6-7 z^4 a^{-2} -z^4 a^{-4} +3 z^4 a^{-6} +3 z^4-6 z^2 a^{-2} +3 z^2 a^{-4} +3 z^2 a^{-6} -z^2 a^{-8} +3 z^2- a^{-2} + a^{-4} + a^{-6} - a^{-8} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^{11} a^{-3} +3 z^{11} a^{-5} +8 z^{10} a^{-2} +17 z^{10} a^{-4} +9 z^{10} a^{-6} +10 z^9 a^{-1} +16 z^9 a^{-3} +15 z^9 a^{-5} +9 z^9 a^{-7} -2 z^8 a^{-2} -27 z^8 a^{-4} -14 z^8 a^{-6} +3 z^8 a^{-8} +8 z^8+4 a z^7-14 z^7 a^{-1} -41 z^7 a^{-3} -38 z^7 a^{-5} -15 z^7 a^{-7} +a^2 z^6-19 z^6 a^{-2} +11 z^6 a^{-4} +20 z^6 a^{-6} +6 z^6 a^{-8} -15 z^6-8 a z^5+2 z^5 a^{-1} +28 z^5 a^{-3} +28 z^5 a^{-5} +16 z^5 a^{-7} +6 z^5 a^{-9} -2 a^2 z^4+22 z^4 a^{-2} -27 z^4 a^{-6} -17 z^4 a^{-8} +10 z^4+5 a z^3+4 z^3 a^{-1} -3 z^3 a^{-3} -8 z^3 a^{-5} -15 z^3 a^{-7} -9 z^3 a^{-9} +a^2 z^2-10 z^2 a^{-2} -z^2 a^{-4} +12 z^2 a^{-6} +8 z^2 a^{-8} -4 z^2-a z-2 z a^{-1} -z a^{-3} +z a^{-5} +4 z a^{-7} +3 z a^{-9} + a^{-2} + a^{-4} - a^{-6} - a^{-8} +1 }[/math] |
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