K13n362
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Polynomial invariants
| Jones polynomial | Data:K13n362/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -3 t^3+18 t^2-42 t+55-42 t^{-1} +18 t^{-2} -3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n362/Conway Polynomial |
| Determinant | 181 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-6} -2 z^6 a^{-8} +2 z^4 a^{-4} -5 z^4 a^{-8} +3 z^4 a^{-10} +4 z^2 a^{-4} +2 z^2 a^{-6} -6 z^2 a^{-8} +4 z^2 a^{-10} -z^2 a^{-12} +2 a^{-4} + a^{-6} -3 a^{-8} + a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-9} +2 z^{11} a^{-11} +6 z^{10} a^{-8} +13 z^{10} a^{-10} +7 z^{10} a^{-12} +6 z^9 a^{-7} +13 z^9 a^{-9} +16 z^9 a^{-11} +9 z^9 a^{-13} +3 z^8 a^{-6} -10 z^8 a^{-8} -27 z^8 a^{-10} -9 z^8 a^{-12} +5 z^8 a^{-14} +z^7 a^{-5} -12 z^7 a^{-7} -50 z^7 a^{-9} -64 z^7 a^{-11} -26 z^7 a^{-13} +z^7 a^{-15} +11 z^6 a^{-8} +5 z^6 a^{-10} -20 z^6 a^{-12} -14 z^6 a^{-14} +3 z^5 a^{-5} +23 z^5 a^{-7} +65 z^5 a^{-9} +66 z^5 a^{-11} +19 z^5 a^{-13} -2 z^5 a^{-15} +3 z^4 a^{-4} +z^4 a^{-6} -7 z^4 a^{-8} +10 z^4 a^{-10} +25 z^4 a^{-12} +10 z^4 a^{-14} -3 z^3 a^{-5} -19 z^3 a^{-7} -40 z^3 a^{-9} -29 z^3 a^{-11} -4 z^3 a^{-13} +z^3 a^{-15} -5 z^2 a^{-4} +7 z^2 a^{-8} -3 z^2 a^{-10} -6 z^2 a^{-12} -z^2 a^{-14} +7 z a^{-7} +11 z a^{-9} +4 z a^{-11} +2 a^{-4} - a^{-6} -3 a^{-8} - a^{-10} }[/math] |
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