K13n901
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Polynomial invariants
| Jones polynomial | Data:K13n901/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t-3+2 t^{-1} }[/math] |
| Conway polynomial | Data:K13n901/Conway Polynomial |
| Determinant | 7 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^4 a^6+2 z^2 a^6-z^6 a^4-4 z^4 a^4-4 z^2 a^4-a^4+z^2 a^2+a^2+z^6+4 z^4+5 z^2+2-z^4 a^{-2} -2 z^2 a^{-2} - a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^3 z^{11}+a z^{11}+2 a^6 z^{10}+3 a^4 z^{10}+4 a^2 z^{10}+3 z^{10}+3 a^7 z^9+6 a^5 z^9-2 a^3 z^9-a z^9+4 z^9 a^{-1} +a^8 z^8-9 a^6 z^8-19 a^4 z^8-25 a^2 z^8+3 z^8 a^{-2} -13 z^8-17 a^7 z^7-38 a^5 z^7-23 a^3 z^7-21 a z^7-18 z^7 a^{-1} +z^7 a^{-3} -5 a^8 z^6+5 a^6 z^6+27 a^4 z^6+35 a^2 z^6-13 z^6 a^{-2} +5 z^6+28 a^7 z^5+65 a^5 z^5+60 a^3 z^5+43 a z^5+16 z^5 a^{-1} -4 z^5 a^{-3} +7 a^8 z^4+6 a^6 z^4-13 a^4 z^4-11 a^2 z^4+12 z^4 a^{-2} +13 z^4-16 a^7 z^3-42 a^5 z^3-47 a^3 z^3-27 a z^3-3 z^3 a^{-1} +3 z^3 a^{-3} -3 a^8 z^2-3 a^6 z^2+4 a^4 z^2-a^2 z^2-5 z^2 a^{-2} -10 z^2+2 a^7 z+9 a^5 z+12 a^3 z+6 a z-z a^{-3} -a^4-a^2+ a^{-2} +2 }[/math] |
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