K13a1122
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Polynomial invariants
| Jones polynomial | Data:K13a1122/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^5-6 t^4+21 t^3-47 t^2+75 t-87+75 t^{-1} -47 t^{-2} +21 t^{-3} -6 t^{-4} + t^{-5} }[/math] |
| Conway polynomial | Data:K13a1122/Conway Polynomial |
| Determinant | 387 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^{10}-a^4 z^8+7 a^2 z^8-2 z^8-5 a^4 z^6+21 a^2 z^6+z^6 a^{-2} -9 z^6-10 a^4 z^4+31 a^2 z^4+2 z^4 a^{-2} -14 z^4-9 a^4 z^2+22 a^2 z^2-8 z^2-4 a^4+7 a^2- a^{-2} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 4 a^2 z^{12}+4 z^{12}+15 a^3 z^{11}+27 a z^{11}+12 z^{11} a^{-1} +25 a^4 z^{10}+40 a^2 z^{10}+13 z^{10} a^{-2} +28 z^{10}+25 a^5 z^9+2 a^3 z^9-50 a z^9-21 z^9 a^{-1} +6 z^9 a^{-3} +18 a^6 z^8-44 a^4 z^8-143 a^2 z^8-42 z^8 a^{-2} +z^8 a^{-4} -124 z^8+10 a^7 z^7-45 a^5 z^7-82 a^3 z^7-33 a z^7-24 z^7 a^{-1} -18 z^7 a^{-3} +4 a^8 z^6-26 a^6 z^6+25 a^4 z^6+151 a^2 z^6+41 z^6 a^{-2} -2 z^6 a^{-4} +139 z^6+a^9 z^5-11 a^7 z^5+36 a^5 z^5+105 a^3 z^5+94 a z^5+53 z^5 a^{-1} +16 z^5 a^{-3} -3 a^8 z^4+19 a^6 z^4-10 a^4 z^4-81 a^2 z^4-11 z^4 a^{-2} +z^4 a^{-4} -61 z^4-a^9 z^3+7 a^7 z^3-12 a^5 z^3-58 a^3 z^3-56 a z^3-20 z^3 a^{-1} -2 z^3 a^{-3} -4 a^6 z^2+9 a^4 z^2+26 a^2 z^2+13 z^2-2 a^7 z+4 a^5 z+14 a^3 z+11 a z+z a^{-1} -2 z a^{-3} -4 a^4-7 a^2+ a^{-2} -1 }[/math] |
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