K13a3144
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Polynomial invariants
| Jones polynomial | Data:K13a3144/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^5-7 t^4+22 t^3-44 t^2+65 t-73+65 t^{-1} -44 t^{-2} +22 t^{-3} -7 t^{-4} + t^{-5} }[/math] |
| Conway polynomial | Data:K13a3144/Conway Polynomial |
| Determinant | 351 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^{10}-a^4 z^8+6 a^2 z^8-2 z^8-4 a^4 z^6+13 a^2 z^6+z^6 a^{-2} -9 z^6-4 a^4 z^4+10 a^2 z^4+3 z^4 a^{-2} -11 z^4+a^4 z^2-3 a^2 z^2+z^2 a^{-2} +z^2+2 a^4-6 a^2-2 a^{-2} +7 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 a^2 z^{12}+3 z^{12}+13 a^3 z^{11}+22 a z^{11}+9 z^{11} a^{-1} +24 a^4 z^{10}+38 a^2 z^{10}+10 z^{10} a^{-2} +24 z^{10}+26 a^5 z^9+5 a^3 z^9-42 a z^9-16 z^9 a^{-1} +5 z^9 a^{-3} +20 a^6 z^8-43 a^4 z^8-142 a^2 z^8-36 z^8 a^{-2} +z^8 a^{-4} -116 z^8+12 a^7 z^7-46 a^5 z^7-89 a^3 z^7-39 a z^7-26 z^7 a^{-1} -18 z^7 a^{-3} +5 a^8 z^6-25 a^6 z^6+20 a^4 z^6+155 a^2 z^6+42 z^6 a^{-2} -3 z^6 a^{-4} +150 z^6+a^9 z^5-11 a^7 z^5+28 a^5 z^5+110 a^3 z^5+111 a z^5+61 z^5 a^{-1} +20 z^5 a^{-3} -3 a^8 z^4+5 a^6 z^4-3 a^4 z^4-60 a^2 z^4-22 z^4 a^{-2} +2 z^4 a^{-4} -73 z^4+a^7 z^3-6 a^5 z^3-38 a^3 z^3-56 a z^3-33 z^3 a^{-1} -8 z^3 a^{-3} +2 a^6 z^2+a^4 z^2+a^2 z^2+3 z^2 a^{-2} +5 z^2-2 a^5 z-2 a^3 z+2 a z+2 z a^{-1} +2 a^4+6 a^2+2 a^{-2} +7 }[/math] |
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