K13n4033
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Polynomial invariants
| Jones polynomial | Data:K13n4033/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-6 t^3+19 t^2-33 t+39-33 t^{-1} +19 t^{-2} -6 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n4033/Conway Polynomial |
| Determinant | 157 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-6} -z^6 a^{-4} +5 z^6 a^{-6} -2 z^6 a^{-8} -2 z^4 a^{-4} +11 z^4 a^{-6} -7 z^4 a^{-8} +z^4 a^{-10} +12 z^2 a^{-6} -9 z^2 a^{-8} +2 z^2 a^{-10} +5 a^{-6} -5 a^{-8} + a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^{11} a^{-7} +3 z^{11} a^{-9} +5 z^{10} a^{-6} +14 z^{10} a^{-8} +9 z^{10} a^{-10} +2 z^9 a^{-5} -4 z^9 a^{-7} +5 z^9 a^{-9} +11 z^9 a^{-11} -21 z^8 a^{-6} -56 z^8 a^{-8} -27 z^8 a^{-10} +8 z^8 a^{-12} -3 z^7 a^{-5} -11 z^7 a^{-7} -46 z^7 a^{-9} -34 z^7 a^{-11} +4 z^7 a^{-13} +5 z^6 a^{-4} +49 z^6 a^{-6} +94 z^6 a^{-8} +29 z^6 a^{-10} -20 z^6 a^{-12} +z^6 a^{-14} +z^5 a^{-3} +8 z^5 a^{-5} +47 z^5 a^{-7} +85 z^5 a^{-9} +36 z^5 a^{-11} -9 z^5 a^{-13} -10 z^4 a^{-4} -52 z^4 a^{-6} -65 z^4 a^{-8} -11 z^4 a^{-10} +10 z^4 a^{-12} -2 z^4 a^{-14} -2 z^3 a^{-3} -15 z^3 a^{-5} -46 z^3 a^{-7} -53 z^3 a^{-9} -18 z^3 a^{-11} +2 z^3 a^{-13} +3 z^2 a^{-4} +23 z^2 a^{-6} +25 z^2 a^{-8} +3 z^2 a^{-10} -2 z^2 a^{-12} +z a^{-3} +5 z a^{-5} +14 z a^{-7} +12 z a^{-9} +2 z a^{-11} -5 a^{-6} -5 a^{-8} - a^{-10} }[/math] |
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