K13a1032
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Polynomial invariants
| Jones polynomial | Data:K13a1032/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -5 t^3+25 t^2-53 t+67-53 t^{-1} +25 t^{-2} -5 t^{-3} }[/math] |
| Conway polynomial | Data:K13a1032/Conway Polynomial |
| Determinant | 233 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-4} -2 z^6 a^{-6} -2 z^6 a^{-8} +z^4 a^{-2} -z^4 a^{-4} -3 z^4 a^{-6} -5 z^4 a^{-8} +3 z^4 a^{-10} +2 z^2 a^{-2} +z^2 a^{-4} -6 z^2 a^{-8} +6 z^2 a^{-10} -z^2 a^{-12} + a^{-2} + a^{-4} -3 a^{-8} +3 a^{-10} - a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{12} a^{-8} +2 z^{12} a^{-10} +5 z^{11} a^{-7} +12 z^{11} a^{-9} +7 z^{11} a^{-11} +6 z^{10} a^{-6} +7 z^{10} a^{-8} +11 z^{10} a^{-10} +10 z^{10} a^{-12} +6 z^9 a^{-5} -8 z^9 a^{-7} -39 z^9 a^{-9} -17 z^9 a^{-11} +8 z^9 a^{-13} +5 z^8 a^{-4} -8 z^8 a^{-6} -37 z^8 a^{-8} -64 z^8 a^{-10} -36 z^8 a^{-12} +4 z^8 a^{-14} +3 z^7 a^{-3} -8 z^7 a^{-5} +9 z^7 a^{-7} +48 z^7 a^{-9} -z^7 a^{-11} -28 z^7 a^{-13} +z^7 a^{-15} +z^6 a^{-2} -9 z^6 a^{-4} +3 z^6 a^{-6} +69 z^6 a^{-8} +110 z^6 a^{-10} +41 z^6 a^{-12} -13 z^6 a^{-14} -7 z^5 a^{-3} -z^5 a^{-5} -7 z^5 a^{-7} -14 z^5 a^{-9} +28 z^5 a^{-11} +26 z^5 a^{-13} -3 z^5 a^{-15} -3 z^4 a^{-2} +3 z^4 a^{-4} -2 z^4 a^{-6} -55 z^4 a^{-8} -77 z^4 a^{-10} -22 z^4 a^{-12} +8 z^4 a^{-14} +4 z^3 a^{-3} +3 z^3 a^{-5} +4 z^3 a^{-7} -5 z^3 a^{-9} -21 z^3 a^{-11} -10 z^3 a^{-13} +z^3 a^{-15} +3 z^2 a^{-2} -z^2 a^{-4} +z^2 a^{-6} +21 z^2 a^{-8} +23 z^2 a^{-10} +6 z^2 a^{-12} -z^2 a^{-14} -2 z a^{-5} -2 z a^{-7} +2 z a^{-9} +4 z a^{-11} +2 z a^{-13} - a^{-2} + a^{-4} -3 a^{-8} -3 a^{-10} - a^{-12} }[/math] |
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