K13n1077
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Polynomial invariants
| Jones polynomial | Data:K13n1077/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-8 t^3+19 t^2-30 t+35-30 t^{-1} +19 t^{-2} -8 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n1077/Conway Polynomial |
| Determinant | 153 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 2 z^8 a^{-6} -2 z^6 a^{-4} +13 z^6 a^{-6} -3 z^6 a^{-8} -8 z^4 a^{-4} +33 z^4 a^{-6} -15 z^4 a^{-8} +z^4 a^{-10} -10 z^2 a^{-4} +38 z^2 a^{-6} -26 z^2 a^{-8} +4 z^2 a^{-10} -4 a^{-4} +16 a^{-6} -15 a^{-8} +4 a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +4 z^{10} a^{-6} +8 z^{10} a^{-8} +4 z^{10} a^{-10} +4 z^9 a^{-5} +10 z^9 a^{-7} +12 z^9 a^{-9} +6 z^9 a^{-11} +z^8 a^{-4} -11 z^8 a^{-6} -19 z^8 a^{-8} -2 z^8 a^{-10} +5 z^8 a^{-12} -12 z^7 a^{-5} -40 z^7 a^{-7} -44 z^7 a^{-9} -13 z^7 a^{-11} +3 z^7 a^{-13} +4 z^6 a^{-4} +31 z^6 a^{-6} +31 z^6 a^{-8} -8 z^6 a^{-10} -11 z^6 a^{-12} +z^6 a^{-14} +3 z^5 a^{-3} +30 z^5 a^{-5} +82 z^5 a^{-7} +75 z^5 a^{-9} +12 z^5 a^{-11} -8 z^5 a^{-13} -13 z^4 a^{-4} -50 z^4 a^{-6} -37 z^4 a^{-8} +9 z^4 a^{-10} +6 z^4 a^{-12} -3 z^4 a^{-14} -7 z^3 a^{-3} -39 z^3 a^{-5} -83 z^3 a^{-7} -65 z^3 a^{-9} -8 z^3 a^{-11} +6 z^3 a^{-13} +11 z^2 a^{-4} +41 z^2 a^{-6} +34 z^2 a^{-8} +z^2 a^{-10} -z^2 a^{-12} +2 z^2 a^{-14} +4 z a^{-3} +16 z a^{-5} +32 z a^{-7} +24 z a^{-9} +2 z a^{-11} -2 z a^{-13} -4 a^{-4} -16 a^{-6} -15 a^{-8} -4 a^{-10} }[/math] |
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