K13n4214
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Polynomial invariants
| Jones polynomial | Data:K13n4214/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-7 t^3+24 t^2-47 t+59-47 t^{-1} +24 t^{-2} -7 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n4214/Conway Polynomial |
| Determinant | 217 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8-a^2 z^6-2 z^6 a^{-2} +4 z^6-a^2 z^4-5 z^4 a^{-2} +z^4 a^{-4} +7 z^4-a^4 z^2+a^2 z^2-4 z^2 a^{-2} +z^2 a^{-4} +5 z^2-a^4+a^2- a^{-2} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 a z^{11}+3 z^{11} a^{-1} +6 a^2 z^{10}+10 z^{10} a^{-2} +16 z^{10}+4 a^3 z^9+7 a z^9+17 z^9 a^{-1} +14 z^9 a^{-3} +a^4 z^8-10 a^2 z^8-9 z^8 a^{-2} +11 z^8 a^{-4} -31 z^8-2 a^3 z^7-22 a z^7-52 z^7 a^{-1} -27 z^7 a^{-3} +5 z^7 a^{-5} +6 a^4 z^6+18 a^2 z^6-15 z^6 a^{-2} -21 z^6 a^{-4} +z^6 a^{-6} +19 z^6+3 a^5 z^5+3 a^3 z^5+25 a z^5+45 z^5 a^{-1} +12 z^5 a^{-3} -8 z^5 a^{-5} -12 a^4 z^4-18 a^2 z^4+19 z^4 a^{-2} +9 z^4 a^{-4} -z^4 a^{-6} +3 z^4-5 a^5 z^3-9 a^3 z^3-11 a z^3-10 z^3 a^{-1} -z^3 a^{-3} +2 z^3 a^{-5} +5 a^4 z^2+6 a^2 z^2-7 z^2 a^{-2} -2 z^2 a^{-4} -4 z^2+2 a^5 z+3 a^3 z+a z-z a^{-1} -z a^{-3} -a^4-a^2+ a^{-2} +2 }[/math] |
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