K13n2139
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Polynomial invariants
| Jones polynomial | Data:K13n2139/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^5+5 t^4-12 t^3+21 t^2-30 t+35-30 t^{-1} +21 t^{-2} -12 t^{-3} +5 t^{-4} - t^{-5} }[/math] |
| Conway polynomial | Data:K13n2139/Conway Polynomial |
| Determinant | 173 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^{10}+a^2 z^8+z^8 a^{-2} -7 z^8+5 a^2 z^6+6 z^6 a^{-2} -18 z^6+8 a^2 z^4+13 z^4 a^{-2} -z^4 a^{-4} -21 z^4+4 a^2 z^2+12 z^2 a^{-2} -3 z^2 a^{-4} -12 z^2+a^2+5 a^{-2} -2 a^{-4} -3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 a z^{11}+3 z^{11} a^{-1} +8 a^2 z^{10}+6 z^{10} a^{-2} +14 z^{10}+10 a^3 z^9+5 a z^9-z^9 a^{-1} +4 z^9 a^{-3} +8 a^4 z^8-18 a^2 z^8-21 z^8 a^{-2} +z^8 a^{-4} -48 z^8+4 a^5 z^7-26 a^3 z^7-33 a z^7-12 z^7 a^{-1} -9 z^7 a^{-3} +a^6 z^6-20 a^4 z^6+14 a^2 z^6+46 z^6 a^{-2} +4 z^6 a^{-4} +77 z^6-9 a^5 z^5+23 a^3 z^5+54 a z^5+35 z^5 a^{-1} +16 z^5 a^{-3} +3 z^5 a^{-5} -2 a^6 z^4+13 a^4 z^4-3 a^2 z^4-49 z^4 a^{-2} -13 z^4 a^{-4} -54 z^4+3 a^5 z^3-10 a^3 z^3-32 a z^3-31 z^3 a^{-1} -19 z^3 a^{-3} -7 z^3 a^{-5} -3 a^4 z^2+a^2 z^2+23 z^2 a^{-2} +9 z^2 a^{-4} +18 z^2+2 a^3 z+6 a z+8 z a^{-1} +7 z a^{-3} +3 z a^{-5} -a^2-5 a^{-2} -2 a^{-4} -3 }[/math] |
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