K13n3509
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Polynomial invariants
| Jones polynomial | Data:K13n3509/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+8 t^3-25 t^2+47 t-57+47 t^{-1} -25 t^{-2} +8 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3509/Conway Polynomial |
| Determinant | 219 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^2 z^8+3 a^4 z^6-4 a^2 z^6+z^6-2 a^6 z^4+10 a^4 z^4-7 a^2 z^4+2 z^4-4 a^6 z^2+11 a^4 z^2-5 a^2 z^2+z^2-2 a^6+3 a^4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^5 z^{11}+2 a^3 z^{11}+6 a^6 z^{10}+14 a^4 z^{10}+8 a^2 z^{10}+5 a^7 z^9+16 a^5 z^9+24 a^3 z^9+13 a z^9+a^8 z^8-9 a^6 z^8-15 a^4 z^8+6 a^2 z^8+11 z^8-9 a^7 z^7-49 a^5 z^7-65 a^3 z^7-20 a z^7+5 z^7 a^{-1} +6 a^8 z^6+13 a^6 z^6-18 a^4 z^6-47 a^2 z^6+z^6 a^{-2} -21 z^6+3 a^9 z^5+19 a^7 z^5+63 a^5 z^5+57 a^3 z^5+2 a z^5-8 z^5 a^{-1} -12 a^8 z^4-6 a^6 z^4+38 a^4 z^4+45 a^2 z^4-z^4 a^{-2} +12 z^4-6 a^9 z^3-21 a^7 z^3-35 a^5 z^3-22 a^3 z^3+a z^3+3 z^3 a^{-1} +4 a^8 z^2-4 a^6 z^2-19 a^4 z^2-15 a^2 z^2-4 z^2+3 a^9 z+6 a^7 z+7 a^5 z+5 a^3 z+a z+2 a^6+3 a^4 }[/math] |
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