K13n1379
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Polynomial invariants
| Jones polynomial | Data:K13n1379/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+6 t^3-16 t^2+28 t-33+28 t^{-1} -16 t^{-2} +6 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n1379/Conway Polynomial |
| Determinant | 135 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-4} -4 z^6 a^{-4} +2 z^6 a^{-6} -2 z^4 a^{-2} -3 z^4 a^{-4} +5 z^4 a^{-6} -z^4 a^{-8} +z^4-5 z^2 a^{-2} +6 z^2 a^{-4} -z^2 a^{-8} +2 z^2-3 a^{-2} +7 a^{-4} -5 a^{-6} + a^{-8} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^{11} a^{-5} +3 z^{11} a^{-7} +z^{10} a^{-2} +7 z^{10} a^{-4} +15 z^{10} a^{-6} +9 z^{10} a^{-8} +2 z^9 a^{-1} +4 z^9 a^{-3} +8 z^9 a^{-7} +10 z^9 a^{-9} -9 z^8 a^{-2} -38 z^8 a^{-4} -58 z^8 a^{-6} -25 z^8 a^{-8} +5 z^8 a^{-10} +z^8-15 z^7 a^{-1} -32 z^7 a^{-3} -44 z^7 a^{-5} -61 z^7 a^{-7} -33 z^7 a^{-9} +z^7 a^{-11} +15 z^6 a^{-2} +65 z^6 a^{-4} +67 z^6 a^{-6} +9 z^6 a^{-8} -14 z^6 a^{-10} -6 z^6+28 z^5 a^{-1} +72 z^5 a^{-3} +89 z^5 a^{-5} +74 z^5 a^{-7} +27 z^5 a^{-9} -2 z^5 a^{-11} -26 z^4 a^{-4} -24 z^4 a^{-6} +z^4 a^{-8} +7 z^4 a^{-10} +8 z^4-18 z^3 a^{-1} -45 z^3 a^{-3} -45 z^3 a^{-5} -26 z^3 a^{-7} -8 z^3 a^{-9} -8 z^2 a^{-2} -7 z^2 a^{-4} -3 z^2 a^{-6} -4 z^2+2 z a^{-1} +5 z a^{-3} +z a^{-5} -3 z a^{-7} -z a^{-9} +3 a^{-2} +7 a^{-4} +5 a^{-6} + a^{-8} +1 }[/math] |
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