K13n2908
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Polynomial invariants
| Jones polynomial | Data:K13n2908/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 3 t^3-15 t^2+34 t-43+34 t^{-1} -15 t^{-2} +3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2908/Conway Polynomial |
| Determinant | 147 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^6+a^6-3 z^4 a^4-6 z^2 a^4-4 a^4+2 z^6 a^2+6 z^4 a^2+8 z^2 a^2+5 a^2+z^6+z^4-z^2-1-z^4 a^{-2} -z^2 a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^3 z^{11}+2 a z^{11}+4 a^4 z^{10}+10 a^2 z^{10}+6 z^{10}+3 a^5 z^9+2 a^3 z^9+6 a z^9+7 z^9 a^{-1} +a^6 z^8-9 a^4 z^8-29 a^2 z^8+4 z^8 a^{-2} -15 z^8-4 a^5 z^7-11 a^3 z^7-31 a z^7-23 z^7 a^{-1} +z^7 a^{-3} +3 a^6 z^6+18 a^4 z^6+35 a^2 z^6-13 z^6 a^{-2} +7 z^6+4 a^7 z^5+10 a^5 z^5+12 a^3 z^5+30 a z^5+21 z^5 a^{-1} -3 z^5 a^{-3} +a^8 z^4-a^6 z^4-19 a^4 z^4-32 a^2 z^4+11 z^4 a^{-2} -4 z^4-4 a^7 z^3-7 a^5 z^3-7 a^3 z^3-13 a z^3-7 z^3 a^{-1} +2 z^3 a^{-3} -a^8 z^2+a^6 z^2+13 a^4 z^2+17 a^2 z^2-2 z^2 a^{-2} +4 z^2+a^7 z+3 a^5 z+3 a^3 z+2 a z+z a^{-1} -a^6-4 a^4-5 a^2-1 }[/math] |
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