K13n3912
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Polynomial invariants
| Jones polynomial | Data:K13n3912/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-t^3-5 t^2+17 t-23+17 t^{-1} -5 t^{-2} - t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n3912/Conway Polynomial |
| Determinant | 63 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} +8 z^6 a^{-2} -z^6+20 z^4 a^{-2} -4 z^4 a^{-4} -z^4 a^{-6} -6 z^4+23 z^2 a^{-2} -10 z^2 a^{-4} -9 z^2+11 a^{-2} -7 a^{-4} + a^{-6} -4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10}+a z^9+z^9 a^{-1} +2 z^9 a^{-3} +2 z^9 a^{-5} -10 z^8 a^{-2} +5 z^8 a^{-4} +6 z^8 a^{-6} -9 z^8-8 a z^7-13 z^7 a^{-1} -11 z^7 a^{-3} +z^7 a^{-5} +7 z^7 a^{-7} +35 z^6 a^{-2} -6 z^6 a^{-4} -12 z^6 a^{-6} +4 z^6 a^{-8} +25 z^6+20 a z^5+44 z^5 a^{-1} +38 z^5 a^{-3} -z^5 a^{-5} -14 z^5 a^{-7} +z^5 a^{-9} -44 z^4 a^{-2} -2 z^4 a^{-4} +8 z^4 a^{-6} -6 z^4 a^{-8} -28 z^4-19 a z^3-48 z^3 a^{-1} -44 z^3 a^{-3} -9 z^3 a^{-5} +5 z^3 a^{-7} -z^3 a^{-9} +30 z^2 a^{-2} +12 z^2 a^{-4} -3 z^2 a^{-6} +15 z^2+6 a z+16 z a^{-1} +18 z a^{-3} +8 z a^{-5} -11 a^{-2} -7 a^{-4} - a^{-6} -4 }[/math] |
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