K13n3421
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Polynomial invariants
| Jones polynomial | Data:K13n3421/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-9 t^2+12 t-9+12 t^{-1} -9 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3421/Conway Polynomial |
| Determinant | 55 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 2 z^6-3 a^2 z^4-2 z^4 a^{-2} +8 z^4+a^4 z^2-8 a^2 z^2-6 z^2 a^{-2} -z^2 a^{-4} +8 z^2+2 a^4-3 a^2-2 a^{-2} + a^{-6} +3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +3 a^2 z^{10}+2 z^{10} a^{-2} +5 z^{10}+3 a^3 z^9+3 a z^9+z^9 a^{-1} +z^9 a^{-3} +a^4 z^8-10 a^2 z^8-9 z^8 a^{-2} -20 z^8-14 a^3 z^7-31 a z^7-26 z^7 a^{-1} -8 z^7 a^{-3} +z^7 a^{-5} -5 a^4 z^6-2 a^2 z^6+3 z^6 a^{-2} -2 z^6 a^{-4} +z^6 a^{-6} +9 z^6+19 a^3 z^5+44 a z^5+46 z^5 a^{-1} +15 z^5 a^{-3} -6 z^5 a^{-5} +9 a^4 z^4+20 a^2 z^4+13 z^4 a^{-2} +z^4 a^{-4} -5 z^4 a^{-6} +18 z^4-9 a^3 z^3-17 a z^3-27 z^3 a^{-1} -14 z^3 a^{-3} +5 z^3 a^{-5} -7 a^4 z^2-13 a^2 z^2-12 z^2 a^{-2} +5 z^2 a^{-6} -13 z^2+a^3 z+a z+5 z a^{-1} +5 z a^{-3} +2 a^4+3 a^2+2 a^{-2} - a^{-6} +3 }[/math] |
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