K13n3996
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Polynomial invariants
| Jones polynomial | Data:K13n3996/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-7 t^3+24 t^2-49 t+63-49 t^{-1} +24 t^{-2} -7 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n3996/Conway Polynomial |
| Determinant | 225 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8-2 a^2 z^6-z^6 a^{-2} +4 z^6+a^4 z^4-4 a^2 z^4-2 z^4 a^{-2} +7 z^4-a^2 z^2-3 z^2 a^{-2} +4 z^2-a^4+2 a^2-2 a^{-2} + a^{-4} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a z^{11}+2 z^{11} a^{-1} +9 a^2 z^{10}+3 z^{10} a^{-2} +12 z^{10}+16 a^3 z^9+24 a z^9+9 z^9 a^{-1} +z^9 a^{-3} +14 a^4 z^8+8 a^2 z^8+5 z^8 a^{-2} -z^8+6 a^5 z^7-24 a^3 z^7-49 a z^7-9 z^7 a^{-1} +10 z^7 a^{-3} +a^6 z^6-25 a^4 z^6-51 a^2 z^6-7 z^6 a^{-2} +6 z^6 a^{-4} -38 z^6-7 a^5 z^5-a^3 z^5+16 a z^5-2 z^5 a^{-1} -11 z^5 a^{-3} +z^5 a^{-5} +9 a^4 z^4+38 a^2 z^4+9 z^4 a^{-2} -4 z^4 a^{-4} +42 z^4+5 a^3 z^3+5 a z^3+a^4 z^2-6 a^2 z^2-10 z^2 a^{-2} -2 z^2 a^{-4} -15 z^2+a^5 z+a^3 z+a z+3 z a^{-1} +2 z a^{-3} -a^4-2 a^2+2 a^{-2} + a^{-4} +1 }[/math] |
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