K13a4676
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Polynomial invariants
| Jones polynomial | Data:K13a4676/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^5-7 t^4+22 t^3-45 t^2+67 t-75+67 t^{-1} -45 t^{-2} +22 t^{-3} -7 t^{-4} + t^{-5} }[/math] |
| Conway polynomial | Data:K13a4676/Conway Polynomial |
| Determinant | 359 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^{10}-a^4 z^8+6 a^2 z^8-2 z^8-4 a^4 z^6+13 a^2 z^6+z^6 a^{-2} -9 z^6-4 a^4 z^4+10 a^2 z^4+3 z^4 a^{-2} -12 z^4+a^4 z^2-2 a^2 z^2+2 z^2 a^{-2} -3 z^2+2 a^4-4 a^2+3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 5 a^2 z^{12}+5 z^{12}+16 a^3 z^{11}+28 a z^{11}+12 z^{11} a^{-1} +25 a^4 z^{10}+26 a^2 z^{10}+11 z^{10} a^{-2} +12 z^{10}+26 a^5 z^9-15 a^3 z^9-82 a z^9-36 z^9 a^{-1} +5 z^9 a^{-3} +20 a^6 z^8-47 a^4 z^8-115 a^2 z^8-40 z^8 a^{-2} +z^8 a^{-4} -89 z^8+12 a^7 z^7-45 a^5 z^7-39 a^3 z^7+60 a z^7+25 z^7 a^{-1} -17 z^7 a^{-3} +5 a^8 z^6-25 a^6 z^6+23 a^4 z^6+125 a^2 z^6+46 z^6 a^{-2} -3 z^6 a^{-4} +121 z^6+a^9 z^5-11 a^7 z^5+24 a^5 z^5+54 a^3 z^5+2 a z^5+16 z^5 a^{-3} -3 a^8 z^4+5 a^6 z^4+a^4 z^4-41 a^2 z^4-23 z^4 a^{-2} +2 z^4 a^{-4} -59 z^4+a^7 z^3-2 a^5 z^3-14 a^3 z^3-10 a z^3-3 z^3 a^{-1} -4 z^3 a^{-3} +2 a^6 z^2-3 a^4 z^2-5 a^2 z^2+5 z^2 a^{-2} +5 z^2-2 a^5 z-2 a^3 z+2 a^4+4 a^2+3 }[/math] |
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