K13n1328
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Polynomial invariants
| Jones polynomial | Data:K13n1328/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^5-4 t^4+10 t^3-18 t^2+26 t-29+26 t^{-1} -18 t^{-2} +10 t^{-3} -4 t^{-4} + t^{-5} }[/math] |
| Conway polynomial | Data:K13n1328/Conway Polynomial |
| Determinant | 147 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^{10} a^{-2} +8 z^8 a^{-2} -z^8 a^{-4} -z^8+26 z^6 a^{-2} -7 z^6 a^{-4} -6 z^6+44 z^4 a^{-2} -19 z^4 a^{-4} +z^4 a^{-6} -14 z^4+40 z^2 a^{-2} -23 z^2 a^{-4} +3 z^2 a^{-6} -15 z^2+16 a^{-2} -11 a^{-4} +2 a^{-6} -6 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-1} +2 z^{11} a^{-3} +11 z^{10} a^{-2} +6 z^{10} a^{-4} +5 z^{10}+5 a z^9+5 z^9 a^{-1} +6 z^9 a^{-3} +6 z^9 a^{-5} +3 a^2 z^8-38 z^8 a^{-2} -20 z^8 a^{-4} +2 z^8 a^{-6} -13 z^8+a^3 z^7-15 a z^7-32 z^7 a^{-1} -37 z^7 a^{-3} -21 z^7 a^{-5} -10 a^2 z^6+63 z^6 a^{-2} +41 z^6 a^{-4} +12 z^6-4 a^3 z^5+12 a z^5+48 z^5 a^{-1} +74 z^5 a^{-3} +47 z^5 a^{-5} +5 z^5 a^{-7} +9 a^2 z^4-72 z^4 a^{-2} -43 z^4 a^{-4} +2 z^4 a^{-6} +z^4 a^{-8} -19 z^4+5 a^3 z^3-5 a z^3-43 z^3 a^{-1} -69 z^3 a^{-3} -42 z^3 a^{-5} -6 z^3 a^{-7} -2 a^2 z^2+48 z^2 a^{-2} +30 z^2 a^{-4} +z^2 a^{-6} -z^2 a^{-8} +18 z^2-2 a^3 z+2 a z+16 z a^{-1} +25 z a^{-3} +15 z a^{-5} +2 z a^{-7} -16 a^{-2} -11 a^{-4} -2 a^{-6} -6 }[/math] |
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