K12n202
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^2+4 q-9+15 q^{-1} -20 q^{-2} +23 q^{-3} -21 q^{-4} +19 q^{-5} -13 q^{-6} +7 q^{-7} -3 q^{-8} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 3 t^3-13 t^2+31 t-41+31 t^{-1} -13 t^{-2} +3 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 3 z^6+5 z^4+6 z^2+1 }[/math] |
| Determinant | 135 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^8-2 z^4 a^6-3 z^2 a^6-2 a^6+2 z^6 a^4+7 z^4 a^4+11 z^2 a^4+6 a^4+z^6 a^2+z^4 a^2-z^2 a^2-2 a^2-z^4-z^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^6 z^{10}+2 a^4 z^{10}+5 a^7 z^9+12 a^5 z^9+7 a^3 z^9+3 a^8 z^8+9 a^6 z^8+16 a^4 z^8+10 a^2 z^8-11 a^7 z^7-21 a^5 z^7-2 a^3 z^7+8 a z^7-3 a^8 z^6-31 a^6 z^6-48 a^4 z^6-16 a^2 z^6+4 z^6+6 a^9 z^5+19 a^7 z^5+10 a^5 z^5-16 a^3 z^5-12 a z^5+z^5 a^{-1} -a^8 z^4+36 a^6 z^4+53 a^4 z^4+11 a^2 z^4-5 z^4-14 a^9 z^3-25 a^7 z^3+18 a^3 z^3+6 a z^3-z^3 a^{-1} -20 a^6 z^2-27 a^4 z^2-6 a^2 z^2+z^2+8 a^9 z+10 a^7 z-4 a^3 z-2 a z-a^8+2 a^6+6 a^4+2 a^2 }[/math] |
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