K13n3102
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Polynomial invariants
| Jones polynomial | Data:K13n3102/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -3 t^3+17 t^2-40 t+53-40 t^{-1} +17 t^{-2} -3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3102/Conway Polynomial |
| Determinant | 173 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^6-a^6+2 z^4 a^4+2 z^2 a^4-z^6 a^2+z^4 a^2+6 z^2 a^2+5 a^2-2 z^6-6 z^4-9 z^2-5+2 z^4 a^{-2} +3 z^2 a^{-2} +2 a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^3 z^{11}+2 a z^{11}+5 a^4 z^{10}+11 a^2 z^{10}+6 z^{10}+5 a^5 z^9+7 a^3 z^9+9 a z^9+7 z^9 a^{-1} +3 a^6 z^8-10 a^4 z^8-25 a^2 z^8+4 z^8 a^{-2} -8 z^8+a^7 z^7-14 a^5 z^7-30 a^3 z^7-25 a z^7-9 z^7 a^{-1} +z^7 a^{-3} -10 a^6 z^6+2 a^4 z^6+25 a^2 z^6+3 z^6 a^{-2} +16 z^6-4 a^7 z^5+10 a^5 z^5+30 a^3 z^5+22 a z^5+13 z^5 a^{-1} +7 z^5 a^{-3} +10 a^6 z^4-29 a^2 z^4-6 z^4 a^{-2} +3 z^4 a^{-4} -28 z^4+5 a^7 z^3-a^5 z^3-15 a^3 z^3-14 a z^3-12 z^3 a^{-1} -7 z^3 a^{-3} -4 a^6 z^2+2 a^4 z^2+20 a^2 z^2+4 z^2 a^{-2} -2 z^2 a^{-4} +20 z^2-2 a^7 z-a^5 z+3 a^3 z+4 a z+4 z a^{-1} +2 z a^{-3} +a^6-5 a^2-2 a^{-2} -5 }[/math] |
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