K13n3279
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Polynomial invariants
| Jones polynomial | Data:K13n3279/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+6 t^3-17 t^2+31 t-37+31 t^{-1} -17 t^{-2} +6 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3279/Conway Polynomial |
| Determinant | 147 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-4} +2 z^6 a^{-2} -5 z^6 a^{-4} +z^6 a^{-6} +7 z^4 a^{-2} -10 z^4 a^{-4} +3 z^4 a^{-6} -z^4+9 z^2 a^{-2} -9 z^2 a^{-4} +3 z^2 a^{-6} -2 z^2+5 a^{-2} -4 a^{-4} + a^{-6} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-3} +2 z^{11} a^{-5} +3 z^{10} a^{-2} +10 z^{10} a^{-4} +7 z^{10} a^{-6} +z^9 a^{-1} -2 z^9 a^{-3} +7 z^9 a^{-5} +10 z^9 a^{-7} -11 z^8 a^{-2} -36 z^8 a^{-4} -17 z^8 a^{-6} +8 z^8 a^{-8} +z^7 a^{-1} -3 z^7 a^{-3} -38 z^7 a^{-5} -30 z^7 a^{-7} +4 z^7 a^{-9} +32 z^6 a^{-2} +63 z^6 a^{-4} +13 z^6 a^{-6} -21 z^6 a^{-8} +z^6 a^{-10} +4 z^6+a z^5+2 z^5 a^{-1} +23 z^5 a^{-3} +62 z^5 a^{-5} +31 z^5 a^{-7} -9 z^5 a^{-9} -39 z^4 a^{-2} -48 z^4 a^{-4} -2 z^4 a^{-6} +13 z^4 a^{-8} -2 z^4 a^{-10} -8 z^4-2 a z^3-9 z^3 a^{-1} -27 z^3 a^{-3} -37 z^3 a^{-5} -15 z^3 a^{-7} +2 z^3 a^{-9} +18 z^2 a^{-2} +18 z^2 a^{-4} +2 z^2 a^{-6} -3 z^2 a^{-8} +5 z^2+a z+4 z a^{-1} +9 z a^{-3} +9 z a^{-5} +3 z a^{-7} -5 a^{-2} -4 a^{-4} - a^{-6} -1 }[/math] |
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