K13n377
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Polynomial invariants
| Jones polynomial | Data:K13n377/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+6 t^3-18 t^2+34 t-41+34 t^{-1} -18 t^{-2} +6 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n377/Conway Polynomial |
| Determinant | 159 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^2 z^8+a^4 z^6-5 a^2 z^6+2 z^6+2 a^4 z^4-10 a^2 z^4-z^4 a^{-2} +7 z^4+a^6 z^2-7 a^2 z^2-2 z^2 a^{-2} +8 z^2+a^6-2 a^4- a^{-2} +3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^3 z^{11}+a z^{11}+3 a^4 z^{10}+7 a^2 z^{10}+4 z^{10}+4 a^5 z^9+10 a^3 z^9+12 a z^9+6 z^9 a^{-1} +3 a^6 z^8+4 a^4 z^8-3 a^2 z^8+4 z^8 a^{-2} +a^7 z^7-a^5 z^7-21 a^3 z^7-36 a z^7-16 z^7 a^{-1} +z^7 a^{-3} +a^6 z^6-10 a^4 z^6-27 a^2 z^6-13 z^6 a^{-2} -29 z^6+5 a^7 z^5+4 a^5 z^5+11 a^3 z^5+22 a z^5+7 z^5 a^{-1} -3 z^5 a^{-3} +3 a^8 z^4+4 a^4 z^4+30 a^2 z^4+13 z^4 a^{-2} +36 z^4-7 a^7 z^3-9 a^5 z^3-5 a^3 z^3-a z^3+5 z^3 a^{-1} +3 z^3 a^{-3} -3 a^8 z^2+2 a^4 z^2-11 a^2 z^2-5 z^2 a^{-2} -15 z^2+3 a^7 z+6 a^5 z+3 a^3 z-a z-2 z a^{-1} -z a^{-3} -a^6-2 a^4+ a^{-2} +3 }[/math] |
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