K13a4130
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Polynomial invariants
| Jones polynomial | Data:K13a4130/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^5-7 t^4+23 t^3-50 t^2+78 t-89+78 t^{-1} -50 t^{-2} +23 t^{-3} -7 t^{-4} + t^{-5} }[/math] |
| Conway polynomial | Data:K13a4130/Conway Polynomial |
| Determinant | 407 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^{10} a^{-2} +6 z^8 a^{-2} -z^8 a^{-4} -2 z^8+a^2 z^6+14 z^6 a^{-2} -4 z^6 a^{-4} -9 z^6+3 a^2 z^4+14 z^4 a^{-2} -5 z^4 a^{-4} -14 z^4+3 a^2 z^2+4 z^2 a^{-2} -z^2 a^{-4} -8 z^2+a^2- a^{-2} + a^{-4} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 5 z^{12} a^{-2} +5 z^{12}+12 a z^{11}+31 z^{11} a^{-1} +19 z^{11} a^{-3} +11 a^2 z^{10}+42 z^{10} a^{-2} +32 z^{10} a^{-4} +21 z^{10}+5 a^3 z^9-26 a z^9-70 z^9 a^{-1} -6 z^9 a^{-3} +33 z^9 a^{-5} +a^4 z^8-35 a^2 z^8-155 z^8 a^{-2} -58 z^8 a^{-4} +24 z^8 a^{-6} -109 z^8-16 a^3 z^7-4 a z^7+4 z^7 a^{-1} -80 z^7 a^{-3} -59 z^7 a^{-5} +13 z^7 a^{-7} -3 a^4 z^6+36 a^2 z^6+151 z^6 a^{-2} +24 z^6 a^{-4} -31 z^6 a^{-6} +5 z^6 a^{-8} +130 z^6+17 a^3 z^5+31 a z^5+63 z^5 a^{-1} +98 z^5 a^{-3} +38 z^5 a^{-5} -10 z^5 a^{-7} +z^5 a^{-9} +3 a^4 z^4-17 a^2 z^4-48 z^4 a^{-2} +6 z^4 a^{-4} +12 z^4 a^{-6} -2 z^4 a^{-8} -60 z^4-7 a^3 z^3-18 a z^3-36 z^3 a^{-1} -36 z^3 a^{-3} -10 z^3 a^{-5} +z^3 a^{-7} -a^4 z^2+5 a^2 z^2+z^2 a^{-2} -5 z^2 a^{-4} -z^2 a^{-6} +11 z^2+a^3 z+3 a z+5 z a^{-1} +3 z a^{-3} -a^2+ a^{-2} + a^{-4} }[/math] |
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