K13n3827
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Polynomial invariants
| Jones polynomial | Data:K13n3827/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+7 t^2-18 t+25-18 t^{-1} +7 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n3827/Conway Polynomial |
| Determinant | 77 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^6-z^6 a^{-2} -z^6-a^4 z^4+6 a^2 z^4-2 z^4 a^{-2} +z^4 a^{-4} -3 z^4-3 a^4 z^2+9 a^2 z^2-z^2 a^{-2} +z^2 a^{-4} -5 z^2-2 a^4+5 a^2+ a^{-2} -3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^3 z^{11}+a z^{11}+2 a^4 z^{10}+3 a^2 z^{10}+2 z^{10} a^{-2} +3 z^{10}+a^5 z^9-6 a^3 z^9-5 a z^9+8 z^9 a^{-1} +6 z^9 a^{-3} -15 a^4 z^8-27 a^2 z^8+3 z^8 a^{-2} +7 z^8 a^{-4} -16 z^8-7 a^5 z^7+a^3 z^7-3 a z^7-30 z^7 a^{-1} -15 z^7 a^{-3} +4 z^7 a^{-5} +34 a^4 z^6+70 a^2 z^6-22 z^6 a^{-2} -20 z^6 a^{-4} +z^6 a^{-6} +35 z^6+15 a^5 z^5+28 a^3 z^5+41 a z^5+46 z^5 a^{-1} +8 z^5 a^{-3} -10 z^5 a^{-5} -31 a^4 z^4-64 a^2 z^4+22 z^4 a^{-2} +14 z^4 a^{-4} -2 z^4 a^{-6} -27 z^4-13 a^5 z^3-33 a^3 z^3-42 a z^3-30 z^3 a^{-1} -4 z^3 a^{-3} +4 z^3 a^{-5} +12 a^4 z^2+25 a^2 z^2-5 z^2 a^{-2} -4 z^2 a^{-4} +12 z^2+4 a^5 z+10 a^3 z+11 a z+7 z a^{-1} +2 z a^{-3} -2 a^4-5 a^2- a^{-2} -3 }[/math] |
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