K13n2992
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Polynomial invariants
| Jones polynomial | Data:K13n2992/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^2+3 t-3+3 t^{-1} - t^{-2} }[/math] |
| Conway polynomial | Data:K13n2992/Conway Polynomial |
| Determinant | 11 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-4} +z^6-a^2 z^4-z^4 a^{-2} -5 z^4 a^{-4} +z^4 a^{-6} +5 z^4-3 a^2 z^2-3 z^2 a^{-2} -7 z^2 a^{-4} +3 z^2 a^{-6} +9 z^2-2 a^2-2 a^{-2} -3 a^{-4} +2 a^{-6} +6 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +z^{10} a^{-2} +3 z^{10} a^{-4} +2 z^{10} a^{-6} +a z^9-8 z^9 a^{-3} -5 z^9 a^{-5} +2 z^9 a^{-7} +2 a^2 z^8-9 z^8 a^{-2} -23 z^8 a^{-4} -12 z^8 a^{-6} +z^8 a^{-8} +3 z^8+a^3 z^7-2 a z^7+3 z^7 a^{-1} +20 z^7 a^{-3} +2 z^7 a^{-5} -12 z^7 a^{-7} -10 a^2 z^6+26 z^6 a^{-2} +54 z^6 a^{-4} +19 z^6 a^{-6} -6 z^6 a^{-8} -13 z^6-5 a^3 z^5-6 a z^5-14 z^5 a^{-1} -25 z^5 a^{-3} +8 z^5 a^{-5} +20 z^5 a^{-7} +15 a^2 z^4-32 z^4 a^{-2} -54 z^4 a^{-4} -11 z^4 a^{-6} +10 z^4 a^{-8} +16 z^4+7 a^3 z^3+12 a z^3+15 z^3 a^{-1} +18 z^3 a^{-3} -4 z^3 a^{-5} -12 z^3 a^{-7} -8 a^2 z^2+9 z^2 a^{-2} +25 z^2 a^{-4} +6 z^2 a^{-6} -5 z^2 a^{-8} -13 z^2-2 a^3 z-5 a z-8 z a^{-1} -7 z a^{-3} +z a^{-5} +3 z a^{-7} +2 a^2+2 a^{-2} -3 a^{-4} -2 a^{-6} +6 }[/math] |
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