K13n4180
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Polynomial invariants
| Jones polynomial | Data:K13n4180/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-11 t^3+30 t^2-49 t+57-49 t^{-1} +30 t^{-2} -11 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n4180/Conway Polynomial |
| Determinant | 241 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 2 z^8 a^{-6} -2 z^6 a^{-4} +10 z^6 a^{-6} -3 z^6 a^{-8} -5 z^4 a^{-4} +19 z^4 a^{-6} -11 z^4 a^{-8} +z^4 a^{-10} -2 z^2 a^{-4} +17 z^2 a^{-6} -14 z^2 a^{-8} +3 z^2 a^{-10} +6 a^{-6} -7 a^{-8} +2 a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^{11} a^{-7} +3 z^{11} a^{-9} +8 z^{10} a^{-6} +18 z^{10} a^{-8} +10 z^{10} a^{-10} +6 z^9 a^{-5} +16 z^9 a^{-7} +23 z^9 a^{-9} +13 z^9 a^{-11} +z^8 a^{-4} -11 z^8 a^{-6} -26 z^8 a^{-8} -5 z^8 a^{-10} +9 z^8 a^{-12} -4 z^7 a^{-5} -40 z^7 a^{-7} -64 z^7 a^{-9} -24 z^7 a^{-11} +4 z^7 a^{-13} +10 z^6 a^{-4} +24 z^6 a^{-6} +14 z^6 a^{-8} -17 z^6 a^{-10} -16 z^6 a^{-12} +z^6 a^{-14} +3 z^5 a^{-3} +7 z^5 a^{-5} +42 z^5 a^{-7} +65 z^5 a^{-9} +20 z^5 a^{-11} -7 z^5 a^{-13} -15 z^4 a^{-4} -39 z^4 a^{-6} -22 z^4 a^{-8} +15 z^4 a^{-10} +11 z^4 a^{-12} -2 z^4 a^{-14} -3 z^3 a^{-3} -12 z^3 a^{-5} -35 z^3 a^{-7} -41 z^3 a^{-9} -11 z^3 a^{-11} +4 z^3 a^{-13} +5 z^2 a^{-4} +24 z^2 a^{-6} +22 z^2 a^{-8} -z^2 a^{-10} -3 z^2 a^{-12} +z^2 a^{-14} +z a^{-3} +4 z a^{-5} +13 z a^{-7} +13 z a^{-9} +2 z a^{-11} -z a^{-13} -6 a^{-6} -7 a^{-8} -2 a^{-10} }[/math] |
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