K13n4351
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Polynomial invariants
| Jones polynomial | Data:K13n4351/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-7 t^3+21 t^2-37 t+45-37 t^{-1} +21 t^{-2} -7 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n4351/Conway Polynomial |
| Determinant | 177 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^8-a^4 z^6+4 a^2 z^6-2 z^6-2 a^4 z^4+6 a^2 z^4+z^4 a^{-2} -6 z^4-a^4 z^2+5 a^2 z^2+2 z^2 a^{-2} -6 z^2-a^4+3 a^2+ a^{-2} -2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 a^3 z^{11}+3 a z^{11}+9 a^4 z^{10}+15 a^2 z^{10}+6 z^{10}+10 a^5 z^9+10 a^3 z^9+4 a z^9+4 z^9 a^{-1} +5 a^6 z^8-20 a^4 z^8-41 a^2 z^8+z^8 a^{-2} -15 z^8+a^7 z^7-29 a^5 z^7-50 a^3 z^7-27 a z^7-7 z^7 a^{-1} -13 a^6 z^6+a^4 z^6+33 a^2 z^6+4 z^6 a^{-2} +23 z^6-2 a^7 z^5+20 a^5 z^5+45 a^3 z^5+34 a z^5+15 z^5 a^{-1} +4 z^5 a^{-3} +8 a^6 z^4+6 a^4 z^4-13 a^2 z^4-3 z^4 a^{-2} +z^4 a^{-4} -15 z^4+a^7 z^3-4 a^5 z^3-14 a^3 z^3-14 a z^3-9 z^3 a^{-1} -4 z^3 a^{-3} -a^6 z^2+6 a^2 z^2+2 z^2 a^{-2} -z^2 a^{-4} +8 z^2+a^5 z+2 a^3 z+2 a z+2 z a^{-1} +z a^{-3} -a^4-3 a^2- a^{-2} -2 }[/math] |
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