K13n3640
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Polynomial invariants
| Jones polynomial | Data:K13n3640/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-8 t^3+27 t^2-53 t+67-53 t^{-1} +27 t^{-2} -8 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n3640/Conway Polynomial |
| Determinant | 245 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8-3 a^2 z^6-z^6 a^{-2} +4 z^6+3 a^4 z^4-8 a^2 z^4-3 z^4 a^{-2} +7 z^4-a^6 z^2+5 a^4 z^2-6 a^2 z^2-4 z^2 a^{-2} +z^2 a^{-4} +4 z^2-a^6+2 a^4- a^{-2} + a^{-4} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 a^3 z^{11}+3 a z^{11}+8 a^4 z^{10}+19 a^2 z^{10}+11 z^{10}+8 a^5 z^9+19 a^3 z^9+27 a z^9+16 z^9 a^{-1} +4 a^6 z^8-9 a^4 z^8-24 a^2 z^8+11 z^8 a^{-2} +a^7 z^7-20 a^5 z^7-63 a^3 z^7-69 a z^7-24 z^7 a^{-1} +3 z^7 a^{-3} -11 a^6 z^6-16 a^4 z^6-25 a^2 z^6-10 z^6 a^{-2} -30 z^6-3 a^7 z^5+16 a^5 z^5+48 a^3 z^5+40 a z^5+20 z^5 a^{-1} +9 z^5 a^{-3} +11 a^6 z^4+24 a^4 z^4+32 a^2 z^4+12 z^4 a^{-2} +6 z^4 a^{-4} +25 z^4+3 a^7 z^3-4 a^5 z^3-10 a^3 z^3-3 a z^3-9 z^3 a^{-1} -9 z^3 a^{-3} -5 a^6 z^2-10 a^4 z^2-7 a^2 z^2-9 z^2 a^{-2} -5 z^2 a^{-4} -6 z^2-a^7 z-a^5 z-a^3 z-2 a z+z a^{-1} +2 z a^{-3} +a^6+2 a^4+ a^{-2} + a^{-4} }[/math] |
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