K13n3973
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Polynomial invariants
| Jones polynomial | Data:K13n3973/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-9 t^2+21 t-27+21 t^{-1} -9 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3973/Conway Polynomial |
| Determinant | 91 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 2 z^6 a^{-2} +8 z^4 a^{-2} -3 z^4 a^{-4} -2 z^4+12 z^2 a^{-2} -6 z^2 a^{-4} +z^2 a^{-6} -4 z^2+6 a^{-2} -3 a^{-4} -2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{10} a^{-2} +2 z^{10} a^{-4} +3 z^9 a^{-1} +7 z^9 a^{-3} +4 z^9 a^{-5} -4 z^8 a^{-2} -3 z^8 a^{-4} +2 z^8 a^{-6} +z^8-7 z^7 a^{-1} -20 z^7 a^{-3} -13 z^7 a^{-5} +15 z^6 a^{-2} +10 z^6 a^{-4} -z^6 a^{-6} +4 z^6+3 a z^5+14 z^5 a^{-1} +35 z^5 a^{-3} +29 z^5 a^{-5} +5 z^5 a^{-7} -30 z^4 a^{-2} -15 z^4 a^{-4} +3 z^4 a^{-6} +z^4 a^{-8} -13 z^4-6 a z^3-22 z^3 a^{-1} -34 z^3 a^{-3} -23 z^3 a^{-5} -5 z^3 a^{-7} +20 z^2 a^{-2} +12 z^2 a^{-4} -z^2 a^{-6} -z^2 a^{-8} +8 z^2+3 a z+9 z a^{-1} +12 z a^{-3} +6 z a^{-5} -6 a^{-2} -3 a^{-4} -2 }[/math] |
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