K13n1377
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Polynomial invariants
| Jones polynomial | Data:K13n1377/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+6 t^3-16 t^2+28 t-33+28 t^{-1} -16 t^{-2} +6 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n1377/Conway Polynomial |
| Determinant | 135 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8+a^2 z^6+z^6 a^{-2} -4 z^6+2 a^2 z^4+z^4 a^{-2} -3 z^4-a^2 z^2-4 z^2 a^{-2} +z^2 a^{-4} +6 z^2-3 a^2-5 a^{-2} + a^{-4} +8 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 4 a z^{11}+4 z^{11} a^{-1} +8 a^2 z^{10}+11 z^{10} a^{-2} +19 z^{10}+5 a^3 z^9-2 a z^9+3 z^9 a^{-1} +10 z^9 a^{-3} +a^4 z^8-33 a^2 z^8-45 z^8 a^{-2} +3 z^8 a^{-4} -82 z^8-20 a^3 z^7-46 a z^7-70 z^7 a^{-1} -44 z^7 a^{-3} -3 a^4 z^6+38 a^2 z^6+48 z^6 a^{-2} -10 z^6 a^{-4} +99 z^6+22 a^3 z^5+73 a z^5+108 z^5 a^{-1} +58 z^5 a^{-3} +z^5 a^{-5} +2 a^4 z^4-16 a^2 z^4-10 z^4 a^{-2} +10 z^4 a^{-4} -38 z^4-6 a^3 z^3-28 a z^3-42 z^3 a^{-1} -21 z^3 a^{-3} -z^3 a^{-5} -a^2 z^2-6 z^2 a^{-2} -3 z^2 a^{-4} -4 z^2-2 a^3 z-3 a z-3 z a^{-1} -3 z a^{-3} -z a^{-5} +3 a^2+5 a^{-2} + a^{-4} +8 }[/math] |
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