K13n3659
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Polynomial invariants
| Jones polynomial | Data:K13n3659/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 4 t^3-16 t^2+33 t-41+33 t^{-1} -16 t^{-2} +4 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3659/Conway Polynomial |
| Determinant | 147 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^{10}+2 a^{10}-4 z^4 a^8-11 z^2 a^8-8 a^8+3 z^6 a^6+12 z^4 a^6+17 z^2 a^6+8 a^6+z^6 a^4+z^4 a^4-z^2 a^4-a^4-z^4 a^2-z^2 a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^8 a^{12}-4 z^6 a^{12}+5 z^4 a^{12}-2 z^2 a^{12}+4 z^9 a^{11}-17 z^7 a^{11}+24 z^5 a^{11}-15 z^3 a^{11}+4 z a^{11}+6 z^{10} a^{10}-22 z^8 a^{10}+19 z^6 a^{10}-z^4 a^{10}-z^2 a^{10}-2 a^{10}+3 z^{11} a^9+3 z^9 a^9-53 z^7 a^9+89 z^5 a^9-58 z^3 a^9+17 z a^9+16 z^{10} a^8-61 z^8 a^8+65 z^6 a^8-31 z^4 a^8+18 z^2 a^8-8 a^8+3 z^{11} a^7+10 z^9 a^7-76 z^7 a^7+113 z^5 a^7-70 z^3 a^7+19 z a^7+10 z^{10} a^6-33 z^8 a^6+34 z^6 a^6-25 z^4 a^6+20 z^2 a^6-8 a^6+11 z^9 a^5-39 z^7 a^5+53 z^5 a^5-34 z^3 a^5+8 z a^5+5 z^8 a^4-8 z^6 a^4+4 z^4 a^4+z^2 a^4-a^4+z^7 a^3+5 z^5 a^3-6 z^3 a^3+2 z a^3+4 z^4 a^2-2 z^2 a^2+z^3 a }[/math] |
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