K13n1100
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Polynomial invariants
| Jones polynomial | Data:K13n1100/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-8 t^3+17 t^2-23 t+25-23 t^{-1} +17 t^{-2} -8 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n1100/Conway Polynomial |
| Determinant | 125 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-4} +z^8 a^{-6} -z^6 a^{-2} +5 z^6 a^{-4} +5 z^6 a^{-6} -z^6 a^{-8} -4 z^4 a^{-2} +10 z^4 a^{-4} +8 z^4 a^{-6} -5 z^4 a^{-8} -5 z^2 a^{-2} +12 z^2 a^{-4} +4 z^2 a^{-6} -7 z^2 a^{-8} +z^2 a^{-10} -2 a^{-2} +6 a^{-4} - a^{-6} -3 a^{-8} + a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-5} +2 z^{11} a^{-7} +4 z^{10} a^{-4} +10 z^{10} a^{-6} +6 z^{10} a^{-8} +4 z^9 a^{-3} +z^9 a^{-5} +3 z^9 a^{-7} +6 z^9 a^{-9} +3 z^8 a^{-2} -9 z^8 a^{-4} -39 z^8 a^{-6} -25 z^8 a^{-8} +2 z^8 a^{-10} +z^7 a^{-1} -10 z^7 a^{-3} -19 z^7 a^{-5} -35 z^7 a^{-7} -27 z^7 a^{-9} -11 z^6 a^{-2} -z^6 a^{-4} +57 z^6 a^{-6} +43 z^6 a^{-8} -4 z^6 a^{-10} -4 z^5 a^{-1} -z^5 a^{-3} +23 z^5 a^{-5} +70 z^5 a^{-7} +54 z^5 a^{-9} +4 z^5 a^{-11} +12 z^4 a^{-2} +6 z^4 a^{-4} -38 z^4 a^{-6} -27 z^4 a^{-8} +6 z^4 a^{-10} +z^4 a^{-12} +5 z^3 a^{-1} +9 z^3 a^{-3} -11 z^3 a^{-5} -47 z^3 a^{-7} -40 z^3 a^{-9} -8 z^3 a^{-11} -6 z^2 a^{-2} -10 z^2 a^{-4} +8 z^2 a^{-6} +12 z^2 a^{-8} -2 z^2 a^{-10} -2 z^2 a^{-12} -2 z a^{-1} -4 z a^{-3} -z a^{-5} +10 z a^{-7} +12 z a^{-9} +3 z a^{-11} +2 a^{-2} +6 a^{-4} + a^{-6} -3 a^{-8} - a^{-10} }[/math] |
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