K13n4079
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Polynomial invariants
| Jones polynomial | Data:K13n4079/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+4 t^3-5 t^2+2 t+1+2 t^{-1} -5 t^{-2} +4 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n4079/Conway Polynomial |
| Determinant | 23 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8+a^2 z^6-5 z^6+3 a^2 z^4+z^4 a^{-4} -5 z^4-2 z^2 a^{-2} +z^2 a^{-4} +3 z^2-2 a^2-2 a^{-2} +5 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a z^{11}+2 z^{11} a^{-1} +5 a^2 z^{10}+3 z^{10} a^{-2} +8 z^{10}+4 a^3 z^9-5 a z^9-7 z^9 a^{-1} +2 z^9 a^{-3} +a^4 z^8-27 a^2 z^8-18 z^8 a^{-2} +3 z^8 a^{-4} -49 z^8-20 a^3 z^7-20 a z^7-15 z^7 a^{-1} -12 z^7 a^{-3} +3 z^7 a^{-5} -4 a^4 z^6+39 a^2 z^6+20 z^6 a^{-2} -15 z^6 a^{-4} +z^6 a^{-6} +79 z^6+25 a^3 z^5+48 a z^5+45 z^5 a^{-1} +10 z^5 a^{-3} -12 z^5 a^{-5} +3 a^4 z^4-20 a^2 z^4+12 z^4 a^{-4} -3 z^4 a^{-6} -38 z^4-8 a^3 z^3-23 a z^3-21 z^3 a^{-1} +6 z^3 a^{-5} +a^2 z^2-5 z^2 a^{-2} -3 z^2 a^{-4} -z^2-a^3 z-a z-z a^{-1} -z a^{-3} +2 a^2+2 a^{-2} +5 }[/math] |
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