K13n1375
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Polynomial invariants
| Jones polynomial | Data:K13n1375/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+8 t^3-27 t^2+52 t-63+52 t^{-1} -27 t^{-2} +8 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n1375/Conway Polynomial |
| Determinant | 239 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-4} +3 z^6 a^{-2} -4 z^6 a^{-4} +z^6 a^{-6} +9 z^4 a^{-2} -8 z^4 a^{-4} +2 z^4 a^{-6} -2 z^4+9 z^2 a^{-2} -8 z^2 a^{-4} +2 z^2 a^{-6} -3 z^2+3 a^{-2} -3 a^{-4} + a^{-6} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^{11} a^{-3} +3 z^{11} a^{-5} +8 z^{10} a^{-2} +19 z^{10} a^{-4} +11 z^{10} a^{-6} +6 z^9 a^{-1} +16 z^9 a^{-3} +26 z^9 a^{-5} +16 z^9 a^{-7} -17 z^8 a^{-2} -34 z^8 a^{-4} -4 z^8 a^{-6} +12 z^8 a^{-8} +z^8-11 z^7 a^{-1} -55 z^7 a^{-3} -79 z^7 a^{-5} -30 z^7 a^{-7} +5 z^7 a^{-9} +34 z^6 a^{-2} +19 z^6 a^{-4} -30 z^6 a^{-6} -22 z^6 a^{-8} +z^6 a^{-10} +8 z^6+3 a z^5+23 z^5 a^{-1} +77 z^5 a^{-3} +81 z^5 a^{-5} +17 z^5 a^{-7} -7 z^5 a^{-9} -36 z^4 a^{-2} -6 z^4 a^{-4} +27 z^4 a^{-6} +12 z^4 a^{-8} -z^4 a^{-10} -16 z^4-5 a z^3-25 z^3 a^{-1} -49 z^3 a^{-3} -40 z^3 a^{-5} -9 z^3 a^{-7} +2 z^3 a^{-9} +16 z^2 a^{-2} +8 z^2 a^{-4} -5 z^2 a^{-6} -4 z^2 a^{-8} +7 z^2+2 a z+7 z a^{-1} +11 z a^{-3} +9 z a^{-5} +3 z a^{-7} -3 a^{-2} -3 a^{-4} - a^{-6} }[/math] |
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