K13a1120
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Polynomial invariants
| Jones polynomial | Data:K13a1120/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 9 t^3-37 t^2+75 t-93+75 t^{-1} -37 t^{-2} +9 t^{-3} }[/math] |
| Conway polynomial | Data:K13a1120/Conway Polynomial |
| Determinant | 335 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-6} +3 z^6 a^{-8} +4 z^6 a^{-10} +z^6 a^{-12} +3 z^4 a^{-6} +8 z^4 a^{-8} +10 z^4 a^{-10} -3 z^4 a^{-12} -z^4 a^{-14} +3 z^2 a^{-6} +7 z^2 a^{-8} +7 z^2 a^{-10} -10 z^2 a^{-12} +z^2 a^{-14} + a^{-6} +2 a^{-8} + a^{-10} -5 a^{-12} +2 a^{-14} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{12} a^{-12} +2 z^{12} a^{-14} +6 z^{11} a^{-11} +15 z^{11} a^{-13} +9 z^{11} a^{-15} +9 z^{10} a^{-10} +21 z^{10} a^{-12} +28 z^{10} a^{-14} +16 z^{10} a^{-16} +8 z^9 a^{-9} +8 z^9 a^{-11} -9 z^9 a^{-13} +5 z^9 a^{-15} +14 z^9 a^{-17} +6 z^8 a^{-8} -10 z^8 a^{-10} -54 z^8 a^{-12} -78 z^8 a^{-14} -34 z^8 a^{-16} +6 z^8 a^{-18} +3 z^7 a^{-7} -9 z^7 a^{-9} -39 z^7 a^{-11} -53 z^7 a^{-13} -62 z^7 a^{-15} -35 z^7 a^{-17} +z^7 a^{-19} +z^6 a^{-6} -11 z^6 a^{-8} +6 z^6 a^{-10} +49 z^6 a^{-12} +52 z^6 a^{-14} +9 z^6 a^{-16} -12 z^6 a^{-18} -6 z^5 a^{-7} -z^5 a^{-9} +53 z^5 a^{-11} +88 z^5 a^{-13} +62 z^5 a^{-15} +21 z^5 a^{-17} -z^5 a^{-19} -3 z^4 a^{-6} +9 z^4 a^{-8} -4 z^4 a^{-10} -20 z^4 a^{-12} +8 z^4 a^{-16} +4 z^4 a^{-18} +3 z^3 a^{-7} +7 z^3 a^{-9} -29 z^3 a^{-11} -53 z^3 a^{-13} -21 z^3 a^{-15} -z^3 a^{-17} +3 z^2 a^{-6} -6 z^2 a^{-8} +3 z^2 a^{-10} +12 z^2 a^{-12} -4 z^2 a^{-14} -3 z^2 a^{-16} +z^2 a^{-18} -4 z a^{-9} +5 z a^{-11} +13 z a^{-13} +3 z a^{-15} -z a^{-17} - a^{-6} +2 a^{-8} - a^{-10} -5 a^{-12} -2 a^{-14} }[/math] |
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