K13n3212
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Polynomial invariants
| Jones polynomial | Data:K13n3212/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^4+9 t^3-16 t^2+19 t-19+19 t^{-1} -16 t^{-2} +9 t^{-3} -2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n3212/Conway Polynomial |
| Determinant | 111 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-6} -z^8 a^{-8} +z^6 a^{-4} -4 z^6 a^{-6} -5 z^6 a^{-8} +z^6 a^{-10} +4 z^4 a^{-4} -2 z^4 a^{-6} -9 z^4 a^{-8} +5 z^4 a^{-10} +4 z^2 a^{-4} +5 z^2 a^{-6} -11 z^2 a^{-8} +7 z^2 a^{-10} -z^2 a^{-12} + a^{-4} +4 a^{-6} -7 a^{-8} +4 a^{-10} - a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-7} +2 z^{11} a^{-9} +4 z^{10} a^{-6} +9 z^{10} a^{-8} +5 z^{10} a^{-10} +3 z^9 a^{-5} -2 z^9 a^{-7} +5 z^9 a^{-11} +z^8 a^{-4} -17 z^8 a^{-6} -38 z^8 a^{-8} -17 z^8 a^{-10} +3 z^8 a^{-12} -14 z^7 a^{-5} -17 z^7 a^{-7} -17 z^7 a^{-9} -13 z^7 a^{-11} +z^7 a^{-13} -5 z^6 a^{-4} +20 z^6 a^{-6} +56 z^6 a^{-8} +29 z^6 a^{-10} -2 z^6 a^{-12} +19 z^5 a^{-5} +30 z^5 a^{-7} +25 z^5 a^{-9} +18 z^5 a^{-11} +4 z^5 a^{-13} +8 z^4 a^{-4} -9 z^4 a^{-6} -49 z^4 a^{-8} -36 z^4 a^{-10} +4 z^4 a^{-14} -7 z^3 a^{-5} -17 z^3 a^{-7} -24 z^3 a^{-9} -18 z^3 a^{-11} -3 z^3 a^{-13} +z^3 a^{-15} -5 z^2 a^{-4} +8 z^2 a^{-6} +27 z^2 a^{-8} +17 z^2 a^{-10} +2 z^2 a^{-12} -z^2 a^{-14} +6 z a^{-7} +10 z a^{-9} +6 z a^{-11} +2 z a^{-13} + a^{-4} -4 a^{-6} -7 a^{-8} -4 a^{-10} - a^{-12} }[/math] |
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