K13n1223
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Polynomial invariants
| Jones polynomial | Data:K13n1223/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-7 t^2+12 t-13+12 t^{-1} -7 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n1223/Conway Polynomial |
| Determinant | 55 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^6+z^6-a^4 z^4+4 a^2 z^4-z^4 a^{-2} +3 z^4-3 a^4 z^2+6 a^2 z^2-2 z^2 a^{-2} +z^2-2 a^4+4 a^2-1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^3 z^{11}+a z^{11}+2 a^4 z^{10}+6 a^2 z^{10}+4 z^{10}+a^5 z^9-a^3 z^9+4 a z^9+6 z^9 a^{-1} -13 a^4 z^8-34 a^2 z^8+4 z^8 a^{-2} -17 z^8-7 a^5 z^7-20 a^3 z^7-45 a z^7-31 z^7 a^{-1} +z^7 a^{-3} +29 a^4 z^6+60 a^2 z^6-19 z^6 a^{-2} +12 z^6+17 a^5 z^5+57 a^3 z^5+89 a z^5+45 z^5 a^{-1} -4 z^5 a^{-3} -28 a^4 z^4-44 a^2 z^4+21 z^4 a^{-2} +5 z^4-17 a^5 z^3-52 a^3 z^3-63 a z^3-27 z^3 a^{-1} +z^3 a^{-3} +12 a^4 z^2+17 a^2 z^2-7 z^2 a^{-2} -z^2 a^{-4} -z^2+6 a^5 z+15 a^3 z+15 a z+7 z a^{-1} +z a^{-3} -2 a^4-4 a^2-1 }[/math] |
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