K13n4034
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Polynomial invariants
| Jones polynomial | Data:K13n4034/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-3 t^3+4 t^2-3 t+3-3 t^{-1} +4 t^{-2} -3 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n4034/Conway Polynomial |
| Determinant | 25 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^8-a^4 z^6+6 a^2 z^6-4 a^4 z^4+11 a^2 z^4-z^4 a^{-2} -4 a^4 z^2+7 a^2 z^2-2 z^2 a^{-2} +z^2-a^4+a^2- a^{-2} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^3 z^{11}+a z^{11}+3 a^4 z^{10}+4 a^2 z^{10}+z^{10}+4 a^5 z^9-2 a^3 z^9-5 a z^9+z^9 a^{-1} +3 a^6 z^8-15 a^4 z^8-26 a^2 z^8+2 z^8 a^{-2} -6 z^8+a^7 z^7-19 a^5 z^7-13 a^3 z^7+a z^7-5 z^7 a^{-1} +z^7 a^{-3} -13 a^6 z^6+20 a^4 z^6+49 a^2 z^6-11 z^6 a^{-2} +5 z^6-4 a^7 z^5+23 a^5 z^5+32 a^3 z^5+10 a z^5-5 z^5 a^{-3} +12 a^6 z^4-14 a^4 z^4-37 a^2 z^4+14 z^4 a^{-2} +3 z^4+3 a^7 z^3-12 a^5 z^3-24 a^3 z^3-7 a z^3+8 z^3 a^{-1} +6 z^3 a^{-3} -2 a^6 z^2+6 a^4 z^2+11 a^2 z^2-6 z^2 a^{-2} -3 z^2+3 a^5 z+5 a^3 z+a z-3 z a^{-1} -2 z a^{-3} -a^4-a^2+ a^{-2} +2 }[/math] |
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