K13n2352
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Polynomial invariants
| Jones polynomial | Data:K13n2352/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+5 t^3-11 t^2+16 t-17+16 t^{-1} -11 t^{-2} +5 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n2352/Conway Polynomial |
| Determinant | 83 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8+2 a^2 z^6+z^6 a^{-2} -6 z^6-a^4 z^4+9 a^2 z^4+4 z^4 a^{-2} -13 z^4-3 a^4 z^2+12 a^2 z^2+4 z^2 a^{-2} -12 z^2-2 a^4+5 a^2+ a^{-2} -3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +3 a^2 z^{10}+3 z^{10} a^{-2} +6 z^{10}+3 a^3 z^9+3 a z^9+3 z^9 a^{-1} +3 z^9 a^{-3} +a^4 z^8-11 a^2 z^8-13 z^8 a^{-2} +z^8 a^{-4} -26 z^8-10 a^3 z^7-26 a z^7-32 z^7 a^{-1} -16 z^7 a^{-3} +3 a^4 z^6+19 a^2 z^6+13 z^6 a^{-2} -5 z^6 a^{-4} +34 z^6+6 a^5 z^5+19 a^3 z^5+42 a z^5+55 z^5 a^{-1} +26 z^5 a^{-3} +3 a^6 z^4-7 a^4 z^4-26 a^2 z^4-z^4 a^{-2} +7 z^4 a^{-4} -24 z^4+a^7 z^3-7 a^5 z^3-21 a^3 z^3-30 a z^3-32 z^3 a^{-1} -15 z^3 a^{-3} -a^6 z^2+5 a^4 z^2+17 a^2 z^2-3 z^2 a^{-4} +14 z^2+3 a^5 z+7 a^3 z+8 a z+6 z a^{-1} +2 z a^{-3} -2 a^4-5 a^2- a^{-2} -3 }[/math] |
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