K13n221
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Polynomial invariants
| Jones polynomial | Data:K13n221/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 3 t^3-13 t^2+28 t-35+28 t^{-1} -13 t^{-2} +3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n221/Conway Polynomial |
| Determinant | 123 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 2 z^6 a^{-2} +z^6-a^2 z^4+7 z^4 a^{-2} -3 z^4 a^{-4} +2 z^4-2 a^2 z^2+10 z^2 a^{-2} -7 z^2 a^{-4} +z^2 a^{-6} +z^2-a^2+6 a^{-2} -5 a^{-4} + a^{-6} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +6 z^{10} a^{-2} +3 z^{10} a^{-4} +3 z^{10}+4 a z^9+6 z^9 a^{-1} +5 z^9 a^{-3} +3 z^9 a^{-5} +3 a^2 z^8-14 z^8 a^{-2} -7 z^8 a^{-4} +z^8 a^{-6} -3 z^8+a^3 z^7-11 a z^7-24 z^7 a^{-1} -20 z^7 a^{-3} -8 z^7 a^{-5} -11 a^2 z^6+12 z^6 a^{-2} +15 z^6 a^{-4} +2 z^6 a^{-6} -12 z^6-4 a^3 z^5+4 a z^5+23 z^5 a^{-1} +33 z^5 a^{-3} +22 z^5 a^{-5} +4 z^5 a^{-7} +12 a^2 z^4-13 z^4 a^{-2} -15 z^4 a^{-4} +z^4 a^{-8} +13 z^4+5 a^3 z^3+4 a z^3-13 z^3 a^{-1} -29 z^3 a^{-3} -22 z^3 a^{-5} -5 z^3 a^{-7} -5 a^2 z^2+12 z^2 a^{-2} +11 z^2 a^{-4} -z^2 a^{-8} -3 z^2-2 a^3 z-2 a z+4 z a^{-1} +11 z a^{-3} +9 z a^{-5} +2 z a^{-7} +a^2-6 a^{-2} -5 a^{-4} - a^{-6} }[/math] |
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