K13n2310
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Polynomial invariants
| Jones polynomial | Data:K13n2310/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+6 t^3-13 t^2+18 t-19+18 t^{-1} -13 t^{-2} +6 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n2310/Conway Polynomial |
| Determinant | 95 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8+2 a^2 z^6+z^6 a^{-2} -5 z^6-a^4 z^4+9 a^2 z^4+3 z^4 a^{-2} -8 z^4-4 a^4 z^2+12 a^2 z^2+z^2 a^{-2} -5 z^2-3 a^4+5 a^2- a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a z^{11}+2 z^{11} a^{-1} +4 a^2 z^{10}+5 z^{10} a^{-2} +9 z^{10}+3 a^3 z^9-2 a z^9-z^9 a^{-1} +4 z^9 a^{-3} +a^4 z^8-16 a^2 z^8-23 z^8 a^{-2} +z^8 a^{-4} -41 z^8-10 a^3 z^7-16 a z^7-25 z^7 a^{-1} -19 z^7 a^{-3} +a^4 z^6+26 a^2 z^6+31 z^6 a^{-2} -4 z^6 a^{-4} +60 z^6+4 a^5 z^5+16 a^3 z^5+29 a z^5+43 z^5 a^{-1} +26 z^5 a^{-3} +2 a^6 z^4-5 a^4 z^4-30 a^2 z^4-16 z^4 a^{-2} +4 z^4 a^{-4} -43 z^4+a^7 z^3-5 a^5 z^3-17 a^3 z^3-22 a z^3-20 z^3 a^{-1} -9 z^3 a^{-3} -a^6 z^2+7 a^4 z^2+18 a^2 z^2+4 z^2 a^{-2} +14 z^2-a^7 z+3 a^5 z+8 a^3 z+6 a z+z a^{-1} -z a^{-3} -3 a^4-5 a^2+ a^{-2} }[/math] |
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