K13n3100
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Polynomial invariants
| Jones polynomial | Data:K13n3100/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^4+10 t^3-18 t^2+20 t-19+20 t^{-1} -18 t^{-2} +10 t^{-3} -2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n3100/Conway Polynomial |
| Determinant | 119 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-6} -z^8 a^{-8} +z^6 a^{-4} -4 z^6 a^{-6} -4 z^6 a^{-8} +z^6 a^{-10} +4 z^4 a^{-4} -3 z^4 a^{-6} -3 z^4 a^{-8} +4 z^4 a^{-10} +4 z^2 a^{-4} +z^2 a^{-6} +2 z^2 a^{-10} -z^2 a^{-12} + a^{-4} + a^{-6} - a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-7} +2 z^{11} a^{-9} +4 z^{10} a^{-6} +10 z^{10} a^{-8} +6 z^{10} a^{-10} +3 z^9 a^{-5} +4 z^9 a^{-9} +7 z^9 a^{-11} +z^8 a^{-4} -16 z^8 a^{-6} -39 z^8 a^{-8} -18 z^8 a^{-10} +4 z^8 a^{-12} -14 z^7 a^{-5} -26 z^7 a^{-7} -34 z^7 a^{-9} -21 z^7 a^{-11} +z^7 a^{-13} -5 z^6 a^{-4} +16 z^6 a^{-6} +44 z^6 a^{-8} +18 z^6 a^{-10} -5 z^6 a^{-12} +20 z^5 a^{-5} +42 z^5 a^{-7} +42 z^5 a^{-9} +25 z^5 a^{-11} +5 z^5 a^{-13} +8 z^4 a^{-4} -3 z^4 a^{-6} -21 z^4 a^{-8} -12 z^4 a^{-10} +2 z^4 a^{-12} +4 z^4 a^{-14} -10 z^3 a^{-5} -22 z^3 a^{-7} -20 z^3 a^{-9} -14 z^3 a^{-11} -5 z^3 a^{-13} +z^3 a^{-15} -5 z^2 a^{-4} +z^2 a^{-6} +5 z^2 a^{-8} +z^2 a^{-10} +z^2 a^{-12} -z^2 a^{-14} +z a^{-5} +5 z a^{-7} +3 z a^{-9} +z a^{-11} +2 z a^{-13} + a^{-4} - a^{-6} + a^{-10} }[/math] |
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