K13n2955
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Polynomial invariants
| Jones polynomial | Data:K13n2955/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-15 t^2+41 t-55+41 t^{-1} -15 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2955/Conway Polynomial |
| Determinant | 171 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 2 z^2 a^6-3 z^4 a^4-2 z^2 a^4+a^4+z^6 a^2-z^4 a^2-4 z^2 a^2-2 a^2+z^6+2 z^4+4 z^2+2-z^4 a^{-2} -z^2 a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^3 z^{11}+a z^{11}+5 a^4 z^{10}+9 a^2 z^{10}+4 z^{10}+8 a^5 z^9+18 a^3 z^9+16 a z^9+6 z^9 a^{-1} +5 a^6 z^8-8 a^2 z^8+4 z^8 a^{-2} +z^8+a^7 z^7-19 a^5 z^7-59 a^3 z^7-58 a z^7-18 z^7 a^{-1} +z^7 a^{-3} -5 a^6 z^6-15 a^4 z^6-30 a^2 z^6-14 z^6 a^{-2} -34 z^6+7 a^7 z^5+36 a^5 z^5+78 a^3 z^5+68 a z^5+16 z^5 a^{-1} -3 z^5 a^{-3} +3 a^8 z^4+7 a^6 z^4+20 a^4 z^4+46 a^2 z^4+15 z^4 a^{-2} +45 z^4-10 a^7 z^3-32 a^5 z^3-54 a^3 z^3-41 a z^3-7 z^3 a^{-1} +2 z^3 a^{-3} -3 a^8 z^2-3 a^6 z^2-7 a^4 z^2-21 a^2 z^2-5 z^2 a^{-2} -19 z^2+3 a^7 z+10 a^5 z+14 a^3 z+9 a z+2 z a^{-1} +a^4+2 a^2+2 }[/math] |
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