K13n2497
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Polynomial invariants
| Jones polynomial | Data:K13n2497/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^5+4 t^4-8 t^3+12 t^2-15 t+17-15 t^{-1} +12 t^{-2} -8 t^{-3} +4 t^{-4} - t^{-5} }[/math] |
| Conway polynomial | Data:K13n2497/Conway Polynomial |
| Determinant | 97 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^{10}+a^2 z^8+z^8 a^{-2} -8 z^8+6 a^2 z^6+7 z^6 a^{-2} -24 z^6+12 a^2 z^4+17 z^4 a^{-2} -z^4 a^{-4} -34 z^4+9 a^2 z^2+17 z^2 a^{-2} -3 z^2 a^{-4} -23 z^2+2 a^2+6 a^{-2} -2 a^{-4} -5 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a z^{11}+2 z^{11} a^{-1} +5 a^2 z^{10}+3 z^{10} a^{-2} +8 z^{10}+6 a^3 z^9-3 a z^9-8 z^9 a^{-1} +z^9 a^{-3} +5 a^4 z^8-20 a^2 z^8-18 z^8 a^{-2} -43 z^8+3 a^5 z^7-22 a^3 z^7-13 a z^7+9 z^7 a^{-1} -3 z^7 a^{-3} +a^6 z^6-16 a^4 z^6+28 a^2 z^6+49 z^6 a^{-2} +3 z^6 a^{-4} +91 z^6-9 a^5 z^5+24 a^3 z^5+38 a z^5+12 z^5 a^{-1} +8 z^5 a^{-3} +z^5 a^{-5} -3 a^6 z^4+11 a^4 z^4-16 a^2 z^4-59 z^4 a^{-2} -9 z^4 a^{-4} -80 z^4+4 a^5 z^3-9 a^3 z^3-23 a z^3-20 z^3 a^{-1} -13 z^3 a^{-3} -3 z^3 a^{-5} +a^6 z^2-3 a^4 z^2+8 a^2 z^2+29 z^2 a^{-2} +7 z^2 a^{-4} +34 z^2-a^5 z+4 a z+6 z a^{-1} +5 z a^{-3} +2 z a^{-5} -2 a^2-6 a^{-2} -2 a^{-4} -5 }[/math] |
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