K13n349
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Polynomial invariants
| Jones polynomial | Data:K13n349/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+6 t^3-17 t^2+31 t-37+31 t^{-1} -17 t^{-2} +6 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n349/Conway Polynomial |
| Determinant | 147 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^2 z^8+a^4 z^6-4 a^2 z^6+z^6+a^4 z^4-4 a^2 z^4+2 z^4+a^6 z^2-3 a^4 z^2+3 a^2 z^2+a^6-4 a^4+5 a^2-1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 a^4 z^{10}+3 a^2 z^{10}+7 a^5 z^9+16 a^3 z^9+9 a z^9+5 a^6 z^8+9 a^4 z^8+14 a^2 z^8+10 z^8+a^7 z^7-13 a^5 z^7-32 a^3 z^7-13 a z^7+5 z^7 a^{-1} -5 a^6 z^6-26 a^4 z^6-44 a^2 z^6+z^6 a^{-2} -22 z^6+7 a^7 z^5+24 a^5 z^5+24 a^3 z^5-2 a z^5-9 z^5 a^{-1} +3 a^8 z^4+9 a^6 z^4+20 a^4 z^4+27 a^2 z^4-z^4 a^{-2} +12 z^4-9 a^7 z^3-22 a^5 z^3-18 a^3 z^3-2 a z^3+3 z^3 a^{-1} -3 a^8 z^2-4 a^6 z^2-z^2+3 a^7 z+9 a^5 z+9 a^3 z+4 a z+z a^{-1} -a^6-4 a^4-5 a^2-1 }[/math] |
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