K13n4230
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Polynomial invariants
| Jones polynomial | Data:K13n4230/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-7 t^3+18 t^2-26 t+29-26 t^{-1} +18 t^{-2} -7 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n4230/Conway Polynomial |
| Determinant | 133 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-4} -2 z^6 a^{-2} +4 z^6 a^{-4} -z^6 a^{-6} -7 z^4 a^{-2} +4 z^4 a^{-4} -2 z^4 a^{-6} +z^4-6 z^2 a^{-2} +2 z^2 a^{-6} +3 z^2- a^{-2} -2 a^{-4} +3 a^{-6} - a^{-8} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-3} +2 z^{11} a^{-5} +4 z^{10} a^{-2} +10 z^{10} a^{-4} +6 z^{10} a^{-6} +3 z^9 a^{-1} +2 z^9 a^{-3} +6 z^9 a^{-5} +7 z^9 a^{-7} -13 z^8 a^{-2} -31 z^8 a^{-4} -13 z^8 a^{-6} +4 z^8 a^{-8} +z^8-13 z^7 a^{-1} -28 z^7 a^{-3} -32 z^7 a^{-5} -16 z^7 a^{-7} +z^7 a^{-9} +5 z^6 a^{-2} +20 z^6 a^{-4} +7 z^6 a^{-6} -3 z^6 a^{-8} -5 z^6+18 z^5 a^{-1} +32 z^5 a^{-3} +22 z^5 a^{-5} +13 z^5 a^{-7} +5 z^5 a^{-9} +13 z^4 a^{-2} -5 z^4 a^{-4} -13 z^4 a^{-6} +4 z^4 a^{-10} +9 z^4-8 z^3 a^{-1} -5 z^3 a^{-3} -7 z^3 a^{-7} -3 z^3 a^{-9} +z^3 a^{-11} -9 z^2 a^{-2} +7 z^2 a^{-4} +12 z^2 a^{-6} +2 z^2 a^{-8} -z^2 a^{-10} -7 z^2-2 z a^{-3} -2 z a^{-5} +z a^{-7} +z a^{-9} + a^{-2} -2 a^{-4} -3 a^{-6} - a^{-8} +2 }[/math] |
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