K13n408
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Polynomial invariants
| Jones polynomial | Data:K13n408/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 3 t^3-17 t^2+43 t-57+43 t^{-1} -17 t^{-2} +3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n408/Conway Polynomial |
| Determinant | 183 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +2 z^6 a^{-4} +5 z^4 a^{-4} -3 z^4 a^{-6} -z^4-2 z^2 a^{-2} +7 z^2 a^{-4} -4 z^2 a^{-6} +z^2 a^{-8} -2 a^{-2} +4 a^{-4} -2 a^{-6} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +3 z^{10} a^{-2} +8 z^{10} a^{-4} +5 z^{10} a^{-6} +2 z^9 a^{-1} +11 z^9 a^{-3} +19 z^9 a^{-5} +10 z^9 a^{-7} -3 z^8 a^{-2} +13 z^8 a^{-6} +10 z^8 a^{-8} -2 z^7 a^{-1} -30 z^7 a^{-3} -44 z^7 a^{-5} -11 z^7 a^{-7} +5 z^7 a^{-9} +6 z^6 a^{-2} -34 z^6 a^{-4} -56 z^6 a^{-6} -20 z^6 a^{-8} +z^6 a^{-10} +5 z^6+a z^5+10 z^5 a^{-1} +40 z^5 a^{-3} +27 z^5 a^{-5} -13 z^5 a^{-7} -9 z^5 a^{-9} +2 z^4 a^{-2} +50 z^4 a^{-4} +53 z^4 a^{-6} +11 z^4 a^{-8} -z^4 a^{-10} -7 z^4-2 a z^3-14 z^3 a^{-1} -21 z^3 a^{-3} +13 z^3 a^{-7} +4 z^3 a^{-9} -8 z^2 a^{-2} -24 z^2 a^{-4} -20 z^2 a^{-6} -4 z^2 a^{-8} +a z+4 z a^{-1} +4 z a^{-3} -2 z a^{-5} -3 z a^{-7} +2 a^{-2} +4 a^{-4} +2 a^{-6} +1 }[/math] |
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