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$Version
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14.1.0 for Microsoft Windows (64-bit) (July 16, 2024)
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ClearAll["`*"]
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k=1/3;β=2/3;η=9/10;μ=1/2;
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eq={2b1-2a0c0d1-2b1c1d1+2a1-2b1+2a0c0d1+2b1c1d1-2a1+b1η+μ,-2b1c0d1δ+2a0δ+2b1c0d1δ-2a0δ+6b1c0c1-6a0c1d1-6b1c0c1+6a0c1d1+2b1c0d1η+a0η+3a0μ,2b1δ-2a0c0d1δ-8b1c1d1δ+8a1δ-2b1δ+2a0c0d1δ+8b1c1d1δ-8a1δ+6b1-6a1c1d1-6b1+6a1c1d1+b1η+2a0c0d1η+2b1c1d1η+a1η+3b1μ+3a1μ,-2b1c0d1+2a0+2b1c0d1-2a0+6b1c0c1δ+6a1c0d1δ-12a0c1d1δ-6b1c0c1δ-6a1c0d1δ+12a0c1d1δ-2a1c0c1+2a0+2a1c0c1-2a0+a0η+2b1c0c1η+2a1c0d1η+2a0c1d1η+μ+6a0a1b1μ,-6b1c1d1+6a1+6b1c1d1-6a1+2a1δ-2a0c0c1δ+8b1δ-8a1c1d1δ-2a1δ+2a0c0c1δ-8b1δ+8a1c1d1δ+a1η+2a0c0c1η+b1η+2a1c1d1η+3a1μ+3b1μ,6a1c0d1-6a0c1d1-6a1c0d1+6a0c1d1-2a1c0c1δ+2a0δ+2a1c0c1δ-2a0δ+2a1c0c1η+a0η+3a0μ,2a1-2a0c0c1+2b1-2a1c1d1-2a1+2a0c0c1-2b1+2a1c1d1+a1η+μ};
2
c0
2
k
2
δ
2
k
2
δ
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k
2
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d1
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k
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c0
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d1
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d1
3
b1
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d1
2
b1
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d1
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k
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c0
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c0
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a0
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b1
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d1
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c0
3
a0
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d1
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k
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a0
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3
a1
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NSolve[eq0,{a0,a1,b1,c0,c1,d1,δ},MaxRoots->Infinity,WorkingPrecision->20,Method->{"UseSlicingHyperplanes"->False}]
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