K13n4227
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Polynomial invariants
| Jones polynomial | Data:K13n4227/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 4 t^3-18 t^2+33 t-37+33 t^{-1} -18 t^{-2} +4 t^{-3} }[/math] |
| Conway polynomial | Data:K13n4227/Conway Polynomial |
| Determinant | 147 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 2 z^6 a^{-2} +z^6 a^{-4} +z^6-a^2 z^4+5 z^4 a^{-2} +2 z^4 a^{-4} -z^4 a^{-6} +z^4-a^2 z^2+3 z^2 a^{-2} -3 z^2 a^{-6} -2 z^2+a^2+2 a^{-2} - a^{-4} - a^{-6} + a^{-8} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-1} +2 z^{11} a^{-3} +9 z^{10} a^{-2} +4 z^{10} a^{-4} +5 z^{10}+6 a z^9+2 z^9 a^{-1} +4 z^9 a^{-5} +4 a^2 z^8-26 z^8 a^{-2} -7 z^8 a^{-4} +3 z^8 a^{-6} -12 z^8+a^3 z^7-19 a z^7-11 z^7 a^{-1} +4 z^7 a^{-3} -4 z^7 a^{-5} +z^7 a^{-7} -14 a^2 z^6+38 z^6 a^{-2} +14 z^6 a^{-4} -3 z^6 a^{-6} +7 z^6-3 a^3 z^5+15 a z^5-2 z^5 a^{-1} -21 z^5 a^{-3} +2 z^5 a^{-5} +3 z^5 a^{-7} +13 a^2 z^4-41 z^4 a^{-2} -16 z^4 a^{-4} +7 z^4 a^{-6} +3 z^4 a^{-8} -8 z^4+2 a^3 z^3-a z^3+9 z^3 a^{-1} +23 z^3 a^{-3} +6 z^3 a^{-5} -5 z^3 a^{-7} -a^2 z^2+17 z^2 a^{-2} +9 z^2 a^{-4} -5 z^2 a^{-6} -5 z^2 a^{-8} +7 z^2-a z-5 z a^{-1} -8 z a^{-3} -2 z a^{-5} +2 z a^{-7} -a^2-2 a^{-2} - a^{-4} + a^{-6} + a^{-8} -1 }[/math] |
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