K13n3498
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Polynomial invariants
| Jones polynomial | Data:K13n3498/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 3 t^3-20 t^2+51 t-67+51 t^{-1} -20 t^{-2} +3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3498/Conway Polynomial |
| Determinant | 215 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 2 z^6 a^{-4} +z^6 a^{-6} -4 z^4 a^{-2} +3 z^4 a^{-4} -z^4 a^{-8} -5 z^2 a^{-2} +z^2 a^{-4} +2 z^2- a^{-2} - a^{-4} + a^{-6} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^{11} a^{-5} +3 z^{11} a^{-7} +9 z^{10} a^{-4} +18 z^{10} a^{-6} +9 z^{10} a^{-8} +10 z^9 a^{-3} +18 z^9 a^{-5} +18 z^9 a^{-7} +10 z^9 a^{-9} +5 z^8 a^{-2} -12 z^8 a^{-4} -35 z^8 a^{-6} -13 z^8 a^{-8} +5 z^8 a^{-10} +z^7 a^{-1} -22 z^7 a^{-3} -65 z^7 a^{-5} -70 z^7 a^{-7} -27 z^7 a^{-9} +z^7 a^{-11} -5 z^6 a^{-2} +2 z^6 a^{-6} -16 z^6 a^{-8} -13 z^6 a^{-10} +5 z^5 a^{-1} +32 z^5 a^{-3} +70 z^5 a^{-5} +65 z^5 a^{-7} +20 z^5 a^{-9} -2 z^5 a^{-11} +12 z^4 a^{-2} +12 z^4 a^{-4} +16 z^4 a^{-6} +23 z^4 a^{-8} +10 z^4 a^{-10} +3 z^4-5 z^3 a^{-1} -14 z^3 a^{-3} -31 z^3 a^{-5} -28 z^3 a^{-7} -5 z^3 a^{-9} +z^3 a^{-11} -8 z^2 a^{-2} -2 z^2 a^{-4} -5 z^2 a^{-6} -8 z^2 a^{-8} -2 z^2 a^{-10} -5 z^2+z a^{-3} +5 z a^{-5} +5 z a^{-7} +z a^{-9} + a^{-2} - a^{-4} - a^{-6} +2 }[/math] |
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