K13n4618
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Polynomial invariants
| Jones polynomial | Data:K13n4618/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -3 t^3+19 t^2-48 t+65-48 t^{-1} +19 t^{-2} -3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n4618/Conway Polynomial |
| Determinant | 205 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^6+3 z^4 a^4+3 z^2 a^4-2 z^6 a^2-4 z^4 a^2-4 z^2 a^2-a^2-z^6+z^4+4 z^2+3+z^4 a^{-2} -z^2 a^{-2} - a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 a^3 z^{11}+3 a z^{11}+9 a^4 z^{10}+17 a^2 z^{10}+8 z^{10}+10 a^5 z^9+16 a^3 z^9+13 a z^9+7 z^9 a^{-1} +5 a^6 z^8-15 a^4 z^8-35 a^2 z^8+2 z^8 a^{-2} -13 z^8+a^7 z^7-28 a^5 z^7-65 a^3 z^7-46 a z^7-10 z^7 a^{-1} -13 a^6 z^6-12 a^4 z^6+6 a^2 z^6+7 z^6 a^{-2} +12 z^6-2 a^7 z^5+21 a^5 z^5+56 a^3 z^5+42 a z^5+15 z^5 a^{-1} +6 z^5 a^{-3} +9 a^6 z^4+20 a^4 z^4+14 a^2 z^4-4 z^4 a^{-2} +z^4 a^{-4} -2 z^4+a^7 z^3-5 a^5 z^3-13 a^3 z^3-11 a z^3-6 z^3 a^{-1} -2 z^3 a^{-3} -2 a^6 z^2-5 a^4 z^2-6 a^2 z^2-2 z^2 a^{-2} -5 z^2-a^3 z-2 a z-2 z a^{-1} -z a^{-3} +a^2+ a^{-2} +3 }[/math] |
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