K13n3928
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Polynomial invariants
| Jones polynomial | Data:K13n3928/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 3 t^3-13 t^2+27 t-33+27 t^{-1} -13 t^{-2} +3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3928/Conway Polynomial |
| Determinant | 119 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^4 z^8+a^2 z^8+a^6 z^6-5 a^4 z^6+8 a^2 z^6-z^6+2 a^6 z^4-10 a^4 z^4+18 a^2 z^4-5 z^4+a^6 z^2-8 a^4 z^2+15 a^2 z^2-6 z^2-2 a^4+4 a^2-1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^5 z^{11}+2 a^3 z^{11}+a z^{11}+5 a^6 z^{10}+7 a^4 z^{10}+4 a^2 z^{10}+2 z^{10}+10 a^7 z^9+9 a^5 z^9-9 a^3 z^9-7 a z^9+z^9 a^{-1} +10 a^8 z^8-2 a^6 z^8-31 a^4 z^8-35 a^2 z^8-16 z^8+5 a^9 z^7-20 a^7 z^7-34 a^5 z^7+3 a^3 z^7+5 a z^7-7 z^7 a^{-1} +a^{10} z^6-22 a^8 z^6-19 a^6 z^6+59 a^4 z^6+93 a^2 z^6+38 z^6-9 a^9 z^5+2 a^7 z^5+44 a^5 z^5+43 a^3 z^5+24 a z^5+14 z^5 a^{-1} -a^{10} z^4+8 a^8 z^4+16 a^6 z^4-40 a^4 z^4-84 a^2 z^4-37 z^4+2 a^9 z^3+2 a^7 z^3-23 a^5 z^3-44 a^3 z^3-32 a z^3-11 z^3 a^{-1} -a^8 z^2-3 a^6 z^2+13 a^4 z^2+29 a^2 z^2+14 z^2+5 a^5 z+11 a^3 z+9 a z+3 z a^{-1} -2 a^4-4 a^2-1 }[/math] |
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