K13n1955
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Polynomial invariants
| Jones polynomial | Data:K13n1955/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-8 t^2+19 t-25+19 t^{-1} -8 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n1955/Conway Polynomial |
| Determinant | 83 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 2 z^6 a^{-6} -2 z^4 a^{-4} +9 z^4 a^{-6} -3 z^4 a^{-8} +z^2 a^{-2} -4 z^2 a^{-4} +15 z^2 a^{-6} -8 z^2 a^{-8} +z^2 a^{-10} + a^{-2} -3 a^{-4} +8 a^{-6} -6 a^{-8} + a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-7} +2 z^{11} a^{-9} +5 z^{10} a^{-6} +10 z^{10} a^{-8} +5 z^{10} a^{-10} +3 z^9 a^{-5} +z^9 a^{-9} +4 z^9 a^{-11} -26 z^8 a^{-6} -49 z^8 a^{-8} -22 z^8 a^{-10} +z^8 a^{-12} -15 z^7 a^{-5} -37 z^7 a^{-7} -41 z^7 a^{-9} -19 z^7 a^{-11} +2 z^6 a^{-4} +47 z^6 a^{-6} +73 z^6 a^{-8} +24 z^6 a^{-10} -4 z^6 a^{-12} +25 z^5 a^{-5} +76 z^5 a^{-7} +77 z^5 a^{-9} +26 z^5 a^{-11} -8 z^4 a^{-4} -49 z^4 a^{-6} -52 z^4 a^{-8} -7 z^4 a^{-10} +4 z^4 a^{-12} -20 z^3 a^{-5} -57 z^3 a^{-7} -49 z^3 a^{-9} -12 z^3 a^{-11} +z^2 a^{-2} +9 z^2 a^{-4} +30 z^2 a^{-6} +25 z^2 a^{-8} +2 z^2 a^{-10} -z^2 a^{-12} +z a^{-3} +6 z a^{-5} +15 z a^{-7} +11 z a^{-9} +z a^{-11} - a^{-2} -3 a^{-4} -8 a^{-6} -6 a^{-8} - a^{-10} }[/math] |
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