K13n3344
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Polynomial invariants
| Jones polynomial | Data:K13n3344/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 3 t^3-18 t^2+44 t-57+44 t^{-1} -18 t^{-2} +3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3344/Conway Polynomial |
| Determinant | 187 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 2 z^6 a^{-2} +z^6-a^2 z^4+4 z^4 a^{-2} -4 z^4 a^{-4} +z^4-a^2 z^2+3 z^2 a^{-2} -6 z^2 a^{-4} +2 z^2 a^{-6} +z^2+ a^{-2} -2 a^{-4} + a^{-6} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^{11} a^{-1} +3 z^{11} a^{-3} +15 z^{10} a^{-2} +8 z^{10} a^{-4} +7 z^{10}+7 a z^9+6 z^9 a^{-1} +8 z^9 a^{-3} +9 z^9 a^{-5} +4 a^2 z^8-40 z^8 a^{-2} -15 z^8 a^{-4} +5 z^8 a^{-6} -16 z^8+a^3 z^7-21 a z^7-35 z^7 a^{-1} -33 z^7 a^{-3} -19 z^7 a^{-5} +z^7 a^{-7} -13 a^2 z^6+38 z^6 a^{-2} +17 z^6 a^{-4} -3 z^6 a^{-6} +5 z^6-3 a^3 z^5+18 a z^5+37 z^5 a^{-1} +36 z^5 a^{-3} +27 z^5 a^{-5} +7 z^5 a^{-7} +12 a^2 z^4-21 z^4 a^{-2} -13 z^4 a^{-4} +3 z^4 a^{-6} +3 z^4 a^{-8} +4 z^4+2 a^3 z^3-6 a z^3-19 z^3 a^{-1} -18 z^3 a^{-3} -16 z^3 a^{-5} -9 z^3 a^{-7} -3 a^2 z^2+5 z^2 a^{-2} +9 z^2 a^{-4} -3 z^2 a^{-8} -4 z^2+a z+3 z a^{-1} +4 z a^{-3} +4 z a^{-5} +2 z a^{-7} - a^{-2} -2 a^{-4} - a^{-6} +1 }[/math] |
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