K13n3224
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Polynomial invariants
| Jones polynomial | Data:K13n3224/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^4+9 t^3-15 t^2+17 t-17+17 t^{-1} -15 t^{-2} +9 t^{-3} -2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n3224/Conway Polynomial |
| Determinant | 103 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-6} -z^8 a^{-8} +z^6 a^{-4} -4 z^6 a^{-6} -5 z^6 a^{-8} +z^6 a^{-10} +4 z^4 a^{-4} -2 z^4 a^{-6} -8 z^4 a^{-8} +5 z^4 a^{-10} +4 z^2 a^{-4} +4 z^2 a^{-6} -7 z^2 a^{-8} +6 z^2 a^{-10} -z^2 a^{-12} + a^{-4} +2 a^{-6} -3 a^{-8} +2 a^{-10} - a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-7} +2 z^{11} a^{-9} +4 z^{10} a^{-6} +9 z^{10} a^{-8} +5 z^{10} a^{-10} +3 z^9 a^{-5} -2 z^9 a^{-7} +5 z^9 a^{-11} +z^8 a^{-4} -17 z^8 a^{-6} -39 z^8 a^{-8} -18 z^8 a^{-10} +3 z^8 a^{-12} -14 z^7 a^{-5} -19 z^7 a^{-7} -22 z^7 a^{-9} -16 z^7 a^{-11} +z^7 a^{-13} -5 z^6 a^{-4} +19 z^6 a^{-6} +54 z^6 a^{-8} +24 z^6 a^{-10} -6 z^6 a^{-12} +19 z^5 a^{-5} +35 z^5 a^{-7} +34 z^5 a^{-9} +19 z^5 a^{-11} +z^5 a^{-13} +8 z^4 a^{-4} -7 z^4 a^{-6} -38 z^4 a^{-8} -21 z^4 a^{-10} +5 z^4 a^{-12} +3 z^4 a^{-14} -8 z^3 a^{-5} -21 z^3 a^{-7} -22 z^3 a^{-9} -10 z^3 a^{-11} +z^3 a^{-15} -5 z^2 a^{-4} +5 z^2 a^{-6} +15 z^2 a^{-8} +9 z^2 a^{-10} +2 z^2 a^{-12} -2 z^2 a^{-14} +z a^{-5} +5 z a^{-7} +4 z a^{-9} +2 z a^{-11} +z a^{-13} -z a^{-15} + a^{-4} -2 a^{-6} -3 a^{-8} -2 a^{-10} - a^{-12} }[/math] |
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