K13n1075
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Polynomial invariants
| Jones polynomial | Data:K13n1075/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^4+10 t^3-23 t^2+36 t-41+36 t^{-1} -23 t^{-2} +10 t^{-3} -2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n1075/Conway Polynomial |
| Determinant | 183 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -2 z^8 a^{-8} +3 z^6 a^{-6} -12 z^6 a^{-8} +3 z^6 a^{-10} +14 z^4 a^{-6} -29 z^4 a^{-8} +13 z^4 a^{-10} -z^4 a^{-12} +21 z^2 a^{-6} -35 z^2 a^{-8} +19 z^2 a^{-10} -3 z^2 a^{-12} +10 a^{-6} -17 a^{-8} +10 a^{-10} -2 a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-9} +z^{11} a^{-11} +4 z^{10} a^{-8} +9 z^{10} a^{-10} +5 z^{10} a^{-12} +3 z^9 a^{-7} +13 z^9 a^{-9} +20 z^9 a^{-11} +10 z^9 a^{-13} -11 z^8 a^{-8} -10 z^8 a^{-10} +12 z^8 a^{-12} +11 z^8 a^{-14} -9 z^7 a^{-7} -49 z^7 a^{-9} -56 z^7 a^{-11} -8 z^7 a^{-13} +8 z^7 a^{-15} +6 z^6 a^{-6} +25 z^6 a^{-8} -8 z^6 a^{-10} -45 z^6 a^{-12} -14 z^6 a^{-14} +4 z^6 a^{-16} +17 z^5 a^{-7} +77 z^5 a^{-9} +66 z^5 a^{-11} -5 z^5 a^{-13} -10 z^5 a^{-15} +z^5 a^{-17} -22 z^4 a^{-6} -50 z^4 a^{-8} +3 z^4 a^{-10} +42 z^4 a^{-12} +6 z^4 a^{-14} -5 z^4 a^{-16} -25 z^3 a^{-7} -73 z^3 a^{-9} -49 z^3 a^{-11} +5 z^3 a^{-13} +5 z^3 a^{-15} -z^3 a^{-17} +26 z^2 a^{-6} +47 z^2 a^{-8} +12 z^2 a^{-10} -11 z^2 a^{-12} +2 z^2 a^{-16} +14 z a^{-7} +29 z a^{-9} +17 z a^{-11} +z a^{-13} -z a^{-15} -10 a^{-6} -17 a^{-8} -10 a^{-10} -2 a^{-12} }[/math] |
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