K13n3442
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Polynomial invariants
| Jones polynomial | Data:K13n3442/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -3 t^3+14 t^2-31 t+41-31 t^{-1} +14 t^{-2} -3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3442/Conway Polynomial |
| Determinant | 137 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^4 a^6+z^2 a^6-z^6 a^4-z^4 a^4+z^2 a^4+a^4-2 z^6 a^2-6 z^4 a^2-6 z^2 a^2-a^2+2 z^4+2 z^2+ a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 a^5 z^{11}+3 a^3 z^{11}+6 a^6 z^{10}+15 a^4 z^{10}+9 a^2 z^{10}+4 a^7 z^9+a^5 z^9+7 a^3 z^9+10 a z^9+a^8 z^8-23 a^6 z^8-57 a^4 z^8-29 a^2 z^8+4 z^8-17 a^7 z^7-42 a^5 z^7-64 a^3 z^7-39 a z^7-4 a^8 z^6+23 a^6 z^6+56 a^4 z^6+18 a^2 z^6-11 z^6+23 a^7 z^5+65 a^5 z^5+91 a^3 z^5+52 a z^5+3 z^5 a^{-1} +5 a^8 z^4-6 a^6 z^4-15 a^4 z^4+9 a^2 z^4+13 z^4-12 a^7 z^3-34 a^5 z^3-47 a^3 z^3-26 a z^3-z^3 a^{-1} -2 a^8 z^2-2 a^4 z^2-9 a^2 z^2+2 z^2 a^{-2} -3 z^2+2 a^7 z+6 a^5 z+8 a^3 z+4 a z+a^4+a^2- a^{-2} }[/math] |
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