K13n4177
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Polynomial invariants
| Jones polynomial | Data:K13n4177/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^5-4 t^4+10 t^3-17 t^2+22 t-23+22 t^{-1} -17 t^{-2} +10 t^{-3} -4 t^{-4} + t^{-5} }[/math] |
| Conway polynomial | Data:K13n4177/Conway Polynomial |
| Determinant | 131 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^{10}-a^4 z^8+8 a^2 z^8-z^8-7 a^4 z^6+26 a^2 z^6-6 z^6+a^6 z^4-18 a^4 z^4+44 a^2 z^4-14 z^4+2 a^6 z^2-20 a^4 z^2+38 a^2 z^2-15 z^2+a^6-8 a^4+13 a^2-5 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^3 z^{11}+2 a z^{11}+5 a^4 z^{10}+10 a^2 z^{10}+5 z^{10}+3 a^5 z^9+a^3 z^9+3 a z^9+5 z^9 a^{-1} -22 a^4 z^8-39 a^2 z^8+3 z^8 a^{-2} -14 z^8-11 a^5 z^7-20 a^3 z^7-25 a z^7-15 z^7 a^{-1} +z^7 a^{-3} +3 a^6 z^6+53 a^4 z^6+75 a^2 z^6-10 z^6 a^{-2} +15 z^6+29 a^5 z^5+51 a^3 z^5+37 a z^5+11 z^5 a^{-1} -4 z^5 a^{-3} +a^6 z^4-56 a^4 z^4-90 a^2 z^4+9 z^4 a^{-2} -24 z^4+3 a^7 z^3-23 a^5 z^3-52 a^3 z^3-34 a z^3-3 z^3 a^{-1} +5 z^3 a^{-3} +a^6 z^2+31 a^4 z^2+53 a^2 z^2-2 z^2 a^{-2} +21 z^2-a^7 z+7 a^5 z+17 a^3 z+12 a z+z a^{-1} -2 z a^{-3} -a^6-8 a^4-13 a^2-5 }[/math] |
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