K13a1112
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Polynomial invariants
| Jones polynomial | Data:K13a1112/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-12 t^3+28 t^2-39 t+43-39 t^{-1} +28 t^{-2} -12 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K13a1112/Conway Polynomial |
| Determinant | 205 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^4 a^8+3 z^2 a^8+a^8-2 z^6 a^6-7 z^4 a^6-5 z^2 a^6+z^8 a^4+3 z^6 a^4-4 z^2 a^4-3 a^4+z^8 a^2+4 z^6 a^2+5 z^4 a^2+4 z^2 a^2+2 a^2-z^6-3 z^4-z^2+1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^4 a^{12}-z^2 a^{12}+3 z^5 a^{11}-2 z^3 a^{11}+6 z^6 a^{10}-5 z^4 a^{10}+2 z^2 a^{10}+10 z^7 a^9-14 z^5 a^9+8 z^3 a^9+14 z^8 a^8-29 z^6 a^8+22 z^4 a^8-7 z^2 a^8+a^8+16 z^9 a^7-43 z^7 a^7+43 z^5 a^7-28 z^3 a^7+8 z a^7+13 z^{10} a^6-32 z^8 a^6+12 z^6 a^6+6 z^4 a^6-5 z^2 a^6+7 z^{11} a^5-5 z^9 a^5-52 z^7 a^5+90 z^5 a^5-58 z^3 a^5+13 z a^5+2 z^{12} a^4+13 z^{10} a^4-77 z^8 a^4+109 z^6 a^4-66 z^4 a^4+22 z^2 a^4-3 a^4+12 z^{11} a^3-45 z^9 a^3+36 z^7 a^3+15 z^5 a^3-20 z^3 a^3+5 z a^3+2 z^{12} a^2+4 z^{10} a^2-53 z^8 a^2+103 z^6 a^2-73 z^4 a^2+22 z^2 a^2-2 a^2+5 z^{11} a-23 z^9 a+30 z^7 a-7 z^5 a-4 z^3 a+4 z^{10}-22 z^8+41 z^6-29 z^4+5 z^2+1+z^9 a^{-1} -5 z^7 a^{-1} +8 z^5 a^{-1} -4 z^3 a^{-1} }[/math] |
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