K13n3120
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Polynomial invariants
| Jones polynomial | Data:K13n3120/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 3 t^3-16 t^2+39 t-51+39 t^{-1} -16 t^{-2} +3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3120/Conway Polynomial |
| Determinant | 167 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +2 z^6 a^{-4} +z^4 a^{-2} +5 z^4 a^{-4} -3 z^4 a^{-6} -z^4+z^2 a^{-2} +5 z^2 a^{-4} -4 z^2 a^{-6} +z^2 a^{-8} -z^2+ a^{-2} + a^{-4} - a^{-6} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +2 z^{10} a^{-2} +7 z^{10} a^{-4} +5 z^{10} a^{-6} +z^9 a^{-1} +6 z^9 a^{-3} +15 z^9 a^{-5} +10 z^9 a^{-7} -2 z^8 a^{-2} -5 z^8 a^{-4} +7 z^8 a^{-6} +10 z^8 a^{-8} +z^7 a^{-1} -15 z^7 a^{-3} -36 z^7 a^{-5} -15 z^7 a^{-7} +5 z^7 a^{-9} +9 z^6 a^{-2} -12 z^6 a^{-4} -39 z^6 a^{-6} -21 z^6 a^{-8} +z^6 a^{-10} +4 z^6+a z^5+4 z^5 a^{-1} +24 z^5 a^{-3} +25 z^5 a^{-5} -5 z^5 a^{-7} -9 z^5 a^{-9} -8 z^4 a^{-2} +23 z^4 a^{-4} +35 z^4 a^{-6} +10 z^4 a^{-8} -z^4 a^{-10} -7 z^4-2 a z^3-9 z^3 a^{-1} -15 z^3 a^{-3} -3 z^3 a^{-5} +8 z^3 a^{-7} +3 z^3 a^{-9} +2 z^2 a^{-2} -10 z^2 a^{-4} -11 z^2 a^{-6} -2 z^2 a^{-8} +3 z^2+a z+3 z a^{-1} +3 z a^{-3} -z a^{-5} -2 z a^{-7} - a^{-2} + a^{-4} + a^{-6} }[/math] |
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