K13n3487
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Polynomial invariants
| Jones polynomial | Data:K13n3487/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+7 t^3-24 t^2+50 t-63+50 t^{-1} -24 t^{-2} +7 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3487/Conway Polynomial |
| Determinant | 227 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^8-z^4 a^6+z^2 a^6+2 a^6+2 z^6 a^4+4 z^4 a^4+2 z^2 a^4-a^4-z^8 a^2-4 z^6 a^2-7 z^4 a^2-4 z^2 a^2+z^6+2 z^4+2 z^2+1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^5 z^{11}+2 a^3 z^{11}+5 a^6 z^{10}+14 a^4 z^{10}+9 a^2 z^{10}+4 a^7 z^9+15 a^5 z^9+26 a^3 z^9+15 a z^9+a^8 z^8-2 a^6 z^8-11 a^4 z^8+4 a^2 z^8+12 z^8-2 a^7 z^7-35 a^5 z^7-65 a^3 z^7-27 a z^7+5 z^7 a^{-1} +6 a^8 z^6+4 a^6 z^6-20 a^4 z^6-42 a^2 z^6+z^6 a^{-2} -23 z^6+3 a^9 z^5+6 a^7 z^5+32 a^5 z^5+49 a^3 z^5+13 a z^5-7 z^5 a^{-1} -11 a^8 z^4-9 a^6 z^4+23 a^4 z^4+36 a^2 z^4-z^4 a^{-2} +14 z^4-5 a^9 z^3-10 a^7 z^3-13 a^5 z^3-15 a^3 z^3-5 a z^3+2 z^3 a^{-1} +5 a^8 z^2+7 a^6 z^2-3 a^4 z^2-10 a^2 z^2-5 z^2+2 a^9 z+3 a^7 z+2 a^5 z+2 a^3 z+a z-a^8-2 a^6-a^4+1 }[/math] |
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