K13n2457
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Polynomial invariants
| Jones polynomial | Data:K13n2457/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+7 t^3-20 t^2+36 t-43+36 t^{-1} -20 t^{-2} +7 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n2457/Conway Polynomial |
| Determinant | 171 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^4 z^8+a^6 z^6-5 a^4 z^6+3 a^2 z^6+3 a^6 z^4-11 a^4 z^4+12 a^2 z^4-2 z^4+3 a^6 z^2-12 a^4 z^2+17 a^2 z^2-5 z^2+a^6-6 a^4+9 a^2-3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^5 z^{11}+2 a^3 z^{11}+7 a^6 z^{10}+12 a^4 z^{10}+5 a^2 z^{10}+10 a^7 z^9+12 a^5 z^9+6 a^3 z^9+4 a z^9+8 a^8 z^8-12 a^6 z^8-36 a^4 z^8-15 a^2 z^8+z^8+4 a^9 z^7-27 a^7 z^7-52 a^5 z^7-31 a^3 z^7-10 a z^7+a^{10} z^6-20 a^8 z^6+2 a^6 z^6+55 a^4 z^6+36 a^2 z^6+4 z^6-9 a^9 z^5+27 a^7 z^5+81 a^5 z^5+65 a^3 z^5+23 a z^5+3 z^5 a^{-1} -2 a^{10} z^4+13 a^8 z^4+6 a^6 z^4-42 a^4 z^4-45 a^2 z^4-12 z^4+3 a^9 z^3-14 a^7 z^3-53 a^5 z^3-60 a^3 z^3-31 a z^3-7 z^3 a^{-1} -3 a^8 z^2+20 a^4 z^2+26 a^2 z^2+9 z^2+3 a^7 z+14 a^5 z+20 a^3 z+13 a z+4 z a^{-1} -a^6-6 a^4-9 a^2-3 }[/math] |
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