K13n3801
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Polynomial invariants
| Jones polynomial | Data:K13n3801/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+7 t^3-19 t^2+32 t-37+32 t^{-1} -19 t^{-2} +7 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3801/Conway Polynomial |
| Determinant | 155 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-2} -5 z^6 a^{-2} +z^6 a^{-4} +3 z^6-2 a^2 z^4-11 z^4 a^{-2} +3 z^4 a^{-4} +13 z^4-6 a^2 z^2-13 z^2 a^{-2} +3 z^2 a^{-4} +19 z^2-4 a^2-6 a^{-2} + a^{-4} +10 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +a^2 z^{10}+5 z^{10} a^{-2} +6 z^{10}+a z^9+13 z^9 a^{-1} +12 z^9 a^{-3} +10 z^8 a^{-2} +17 z^8 a^{-4} -7 z^8+3 a^3 z^7-4 a z^7-34 z^7 a^{-1} -12 z^7 a^{-3} +15 z^7 a^{-5} -10 a^2 z^6-56 z^6 a^{-2} -30 z^6 a^{-4} +9 z^6 a^{-6} -27 z^6-12 a^3 z^5-16 a z^5-z^5 a^{-1} -22 z^5 a^{-3} -21 z^5 a^{-5} +4 z^5 a^{-7} +18 a^2 z^4+56 z^4 a^{-2} +17 z^4 a^{-4} -6 z^4 a^{-6} +z^4 a^{-8} +50 z^4+15 a^3 z^3+33 a z^3+35 z^3 a^{-1} +29 z^3 a^{-3} +11 z^3 a^{-5} -z^3 a^{-7} -13 a^2 z^2-25 z^2 a^{-2} -5 z^2 a^{-4} +z^2 a^{-6} -32 z^2-6 a^3 z-15 a z-17 z a^{-1} -10 z a^{-3} -2 z a^{-5} +4 a^2+6 a^{-2} + a^{-4} +10 }[/math] |
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