K13a3194
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Polynomial invariants
| Jones polynomial | Data:K13a3194/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^5+6 t^4-17 t^3+33 t^2-48 t+55-48 t^{-1} +33 t^{-2} -17 t^{-3} +6 t^{-4} - t^{-5} }[/math] |
| Conway polynomial | Data:K13a3194/Conway Polynomial |
| Determinant | 265 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^{10}+2 a^2 z^8+z^8 a^{-2} -7 z^8-a^4 z^6+12 a^2 z^6+5 z^6 a^{-2} -20 z^6-5 a^4 z^4+27 a^2 z^4+9 z^4 a^{-2} -30 z^4-8 a^4 z^2+27 a^2 z^2+7 z^2 a^{-2} -24 z^2-4 a^4+10 a^2+2 a^{-2} -7 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^2 z^{12}+2 z^{12}+5 a^3 z^{11}+13 a z^{11}+8 z^{11} a^{-1} +6 a^4 z^{10}+9 a^2 z^{10}+14 z^{10} a^{-2} +17 z^{10}+5 a^5 z^9-8 a^3 z^9-36 a z^9-9 z^9 a^{-1} +14 z^9 a^{-3} +3 a^6 z^8-14 a^4 z^8-43 a^2 z^8-40 z^8 a^{-2} +9 z^8 a^{-4} -75 z^8+a^7 z^7-13 a^5 z^7+5 a^3 z^7+42 a z^7-21 z^7 a^{-1} -40 z^7 a^{-3} +4 z^7 a^{-5} -10 a^6 z^6+13 a^4 z^6+84 a^2 z^6+47 z^6 a^{-2} -21 z^6 a^{-4} +z^6 a^{-6} +130 z^6-4 a^7 z^5+7 a^5 z^5-6 a^3 z^5-9 a z^5+59 z^5 a^{-1} +43 z^5 a^{-3} -8 z^5 a^{-5} +10 a^6 z^4-17 a^4 z^4-93 a^2 z^4-22 z^4 a^{-2} +12 z^4 a^{-4} -2 z^4 a^{-6} -102 z^4+5 a^7 z^3+2 a^5 z^3-4 a^3 z^3-18 a z^3-38 z^3 a^{-1} -20 z^3 a^{-3} +z^3 a^{-5} -3 a^6 z^2+14 a^4 z^2+47 a^2 z^2+8 z^2 a^{-2} -3 z^2 a^{-4} +41 z^2-2 a^7 z-a^5 z+4 a^3 z+8 a z+8 z a^{-1} +3 z a^{-3} -4 a^4-10 a^2-2 a^{-2} -7 }[/math] |
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