K13n3703
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Polynomial invariants
| Jones polynomial | Data:K13n3703/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 4 t^3-21 t^2+52 t-69+52 t^{-1} -21 t^{-2} +4 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3703/Conway Polynomial |
| Determinant | 223 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 2 z^6 a^{-2} +2 z^6 a^{-4} +5 z^4 a^{-2} +3 z^4 a^{-4} -3 z^4 a^{-6} -2 z^4+8 z^2 a^{-2} +z^2 a^{-4} -3 z^2 a^{-6} +z^2 a^{-8} -3 z^2+5 a^{-2} - a^{-4} - a^{-6} -2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^{11} a^{-3} +3 z^{11} a^{-5} +7 z^{10} a^{-2} +17 z^{10} a^{-4} +10 z^{10} a^{-6} +5 z^9 a^{-1} +10 z^9 a^{-3} +19 z^9 a^{-5} +14 z^9 a^{-7} -16 z^8 a^{-2} -34 z^8 a^{-4} -6 z^8 a^{-6} +11 z^8 a^{-8} +z^8-9 z^7 a^{-1} -36 z^7 a^{-3} -56 z^7 a^{-5} -24 z^7 a^{-7} +5 z^7 a^{-9} +33 z^6 a^{-2} +28 z^6 a^{-4} -20 z^6 a^{-6} -20 z^6 a^{-8} +z^6 a^{-10} +6 z^6+3 a z^5+20 z^5 a^{-1} +52 z^5 a^{-3} +49 z^5 a^{-5} +6 z^5 a^{-7} -8 z^5 a^{-9} -35 z^4 a^{-2} -14 z^4 a^{-4} +18 z^4 a^{-6} +9 z^4 a^{-8} -z^4 a^{-10} -13 z^4-6 a z^3-24 z^3 a^{-1} -33 z^3 a^{-3} -15 z^3 a^{-5} +3 z^3 a^{-7} +3 z^3 a^{-9} +18 z^2 a^{-2} +8 z^2 a^{-4} -5 z^2 a^{-6} -2 z^2 a^{-8} +7 z^2+3 a z+8 z a^{-1} +8 z a^{-3} -3 z a^{-7} -5 a^{-2} - a^{-4} + a^{-6} -2 }[/math] |
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