K13n373
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Polynomial invariants
| Jones polynomial | Data:K13n373/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-9 t^3+21 t^2-30 t+33-30 t^{-1} +21 t^{-2} -9 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n373/Conway Polynomial |
| Determinant | 157 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-4} +z^8 a^{-6} -z^6 a^{-2} +4 z^6 a^{-4} +5 z^6 a^{-6} -z^6 a^{-8} -3 z^4 a^{-2} +5 z^4 a^{-4} +10 z^4 a^{-6} -5 z^4 a^{-8} -2 z^2 a^{-2} +3 z^2 a^{-4} +11 z^2 a^{-6} -8 z^2 a^{-8} +z^2 a^{-10} +5 a^{-6} -5 a^{-8} + a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-5} +2 z^{11} a^{-7} +6 z^{10} a^{-4} +12 z^{10} a^{-6} +6 z^{10} a^{-8} +7 z^9 a^{-3} +10 z^9 a^{-5} +9 z^9 a^{-7} +6 z^9 a^{-9} +4 z^8 a^{-2} -12 z^8 a^{-4} -35 z^8 a^{-6} -17 z^8 a^{-8} +2 z^8 a^{-10} +z^7 a^{-1} -22 z^7 a^{-3} -50 z^7 a^{-5} -47 z^7 a^{-7} -20 z^7 a^{-9} -13 z^6 a^{-2} -5 z^6 a^{-4} +35 z^6 a^{-6} +27 z^6 a^{-8} -3 z^5 a^{-1} +19 z^5 a^{-3} +61 z^5 a^{-5} +76 z^5 a^{-7} +42 z^5 a^{-9} +5 z^5 a^{-11} +12 z^4 a^{-2} +11 z^4 a^{-4} -23 z^4 a^{-6} -21 z^4 a^{-8} +2 z^4 a^{-10} +z^4 a^{-12} +2 z^3 a^{-1} -8 z^3 a^{-3} -34 z^3 a^{-5} -52 z^3 a^{-7} -34 z^3 a^{-9} -6 z^3 a^{-11} -4 z^2 a^{-2} -4 z^2 a^{-4} +15 z^2 a^{-6} +15 z^2 a^{-8} -z^2 a^{-10} -z^2 a^{-12} +2 z a^{-3} +7 z a^{-5} +14 z a^{-7} +10 z a^{-9} +z a^{-11} -5 a^{-6} -5 a^{-8} - a^{-10} }[/math] |
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