K13a4377
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Polynomial invariants
| Jones polynomial | Data:K13a4377/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 10 t^2-41 t+63-41 t^{-1} +10 t^{-2} }[/math] |
| Conway polynomial | Data:K13a4377/Conway Polynomial |
| Determinant | 165 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^8-3 z^2 a^6-a^6+2 z^4 a^4-z^2 a^4-2 a^4+4 z^4 a^2+4 z^2 a^2+3 a^2+3 z^4+z^2+z^4 a^{-2} -z^2 a^{-2} -z^2 a^{-4} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^4 z^{12}+2 a^2 z^{12}+4 a^5 z^{11}+10 a^3 z^{11}+6 a z^{11}+4 a^6 z^{10}-2 a^4 z^{10}+2 a^2 z^{10}+8 z^{10}+3 a^7 z^9-15 a^5 z^9-50 a^3 z^9-24 a z^9+8 z^9 a^{-1} +a^8 z^8-15 a^6 z^8-18 a^4 z^8-40 a^2 z^8+7 z^8 a^{-2} -31 z^8-14 a^7 z^7+15 a^5 z^7+99 a^3 z^7+40 a z^7-25 z^7 a^{-1} +5 z^7 a^{-3} -5 a^8 z^6+9 a^6 z^6+42 a^4 z^6+101 a^2 z^6-18 z^6 a^{-2} +3 z^6 a^{-4} +52 z^6+19 a^7 z^5-11 a^5 z^5-100 a^3 z^5-28 a z^5+31 z^5 a^{-1} -10 z^5 a^{-3} +z^5 a^{-5} +8 a^8 z^4+9 a^6 z^4-44 a^4 z^4-103 a^2 z^4+17 z^4 a^{-2} -6 z^4 a^{-4} -35 z^4-9 a^7 z^3+10 a^5 z^3+43 a^3 z^3+10 a z^3-8 z^3 a^{-1} +4 z^3 a^{-3} -2 z^3 a^{-5} -5 a^8 z^2-6 a^6 z^2+19 a^4 z^2+35 a^2 z^2-3 z^2 a^{-2} +z^2 a^{-4} +11 z^2+2 a^7 z-a^5 z-7 a^3 z-4 a z+a^8+a^6-2 a^4-3 a^2 }[/math] |
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