K13n1749
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Polynomial invariants
| Jones polynomial | Data:K13n1749/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 3 t^3-13 t^2+29 t-37+29 t^{-1} -13 t^{-2} +3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n1749/Conway Polynomial |
| Determinant | 127 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^6-3 z^4 a^4-6 z^2 a^4-3 a^4+2 z^6 a^2+7 z^4 a^2+10 z^2 a^2+5 a^2+z^6+2 z^4+z^2-z^4 a^{-2} -2 z^2 a^{-2} - a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^3 z^{11}+a z^{11}+3 a^4 z^{10}+6 a^2 z^{10}+3 z^{10}+3 a^5 z^9+5 a^3 z^9+6 a z^9+4 z^9 a^{-1} +a^6 z^8-6 a^4 z^8-13 a^2 z^8+3 z^8 a^{-2} -3 z^8-5 a^5 z^7-16 a^3 z^7-23 a z^7-11 z^7 a^{-1} +z^7 a^{-3} +5 a^6 z^6+16 a^4 z^6+10 a^2 z^6-11 z^6 a^{-2} -12 z^6+5 a^7 z^5+14 a^5 z^5+21 a^3 z^5+20 a z^5+4 z^5 a^{-1} -4 z^5 a^{-3} +a^8 z^4-6 a^6 z^4-21 a^4 z^4-12 a^2 z^4+12 z^4 a^{-2} +14 z^4-4 a^7 z^3-13 a^5 z^3-17 a^3 z^3-9 a z^3+4 z^3 a^{-1} +5 z^3 a^{-3} +2 a^6 z^2+13 a^4 z^2+12 a^2 z^2-5 z^2 a^{-2} -4 z^2-a^7 z+3 a^5 z+7 a^3 z+3 a z-2 z a^{-1} -2 z a^{-3} -3 a^4-5 a^2+ a^{-2} }[/math] |
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