K13n3420
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Polynomial invariants
| Jones polynomial | Data:K13n3420/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+8 t^3-23 t^2+35 t-37+35 t^{-1} -23 t^{-2} +8 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3420/Conway Polynomial |
| Determinant | 171 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^8-z^4 a^6-4 z^2 a^6-2 a^6+2 z^6 a^4+7 z^4 a^4+6 z^2 a^4+a^4-z^8 a^2-4 z^6 a^2-6 z^4 a^2-5 z^2 a^2+2 z^6+6 z^4+4 z^2+1-z^4 a^{-2} -2 z^2 a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^3 z^{11}+2 a z^{11}+5 a^4 z^{10}+11 a^2 z^{10}+6 z^{10}+6 a^5 z^9+8 a^3 z^9+9 a z^9+7 z^9 a^{-1} +4 a^6 z^8-3 a^4 z^8-23 a^2 z^8+4 z^8 a^{-2} -12 z^8+a^7 z^7-9 a^5 z^7-23 a^3 z^7-36 a z^7-22 z^7 a^{-1} +z^7 a^{-3} -4 a^6 z^6-5 a^4 z^6+11 a^2 z^6-13 z^6 a^{-2} -z^6+5 a^7 z^5+14 a^5 z^5+15 a^3 z^5+29 a z^5+20 z^5 a^{-1} -3 z^5 a^{-3} +3 a^8 z^4+11 a^6 z^4+11 a^4 z^4-3 a^2 z^4+12 z^4 a^{-2} +6 z^4-7 a^7 z^3-10 a^5 z^3-2 a^3 z^3-7 a z^3-6 z^3 a^{-1} +2 z^3 a^{-3} -4 a^8 z^2-10 a^6 z^2-7 a^4 z^2-3 z^2 a^{-2} -2 z^2+3 a^7 z+4 a^5 z-a z+a^8+2 a^6+a^4+1 }[/math] |
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