Parameter: λ₁₃ Identified

Algebraic Equations:

σ₁₂²λ₁₃-σ₁₁σ₂₂λ₁₃+σ₁₃σ₂₂-σ₁₂σ₂₃

Single Door Criterion:

{1} ⊥ {3} | {2}

Parameter: λ₂₃ Identified

Algebraic Equations:

σ₁₂²λ₂₃-σ₁₂σ₁₃-σ₁₁σ₂₂λ₂₃+σ₁₁σ₂₃

Single Door Criterion:

{2} ⊥ {3} | {1}

Parameter: λ₂₄ Identified

Algebraic Equations:

σ₁₂σ₁₃²σ₂₂λ₂₄-2σ₁₂²σ₁₃σ₂₃λ₂₄+σ₁₂σ₁₃σ₁₄σ₂₃+σ₁₁σ₁₂σ₂₃²λ₂₄-σ₁₁σ₁₄σ₂₃²-σ₁₂σ₁₃²σ₂₄+σ₁₁σ₁₃σ₂₃σ₂₄+σ₁₂³σ₃₃λ₂₄-σ₁₂²σ₁₄σ₃₃-σ₁₁σ₁₂σ₂₂σ₃₃λ₂₄+σ₁₁σ₁₄σ₂₂σ₃₃+σ₁₂²σ₁₃σ₃₄-σ₁₁σ₁₃σ₂₂σ₃₄

Parameter: λ₃₄ Identified

Algebraic Equations:

σ₁₃²σ₂₂λ₃₄-σ₁₃σ₁₄σ₂₂-2σ₁₂σ₁₃σ₂₃λ₃₄+σ₁₂σ₁₄σ₂₃+σ₁₁σ₂₃²λ₃₄+σ₁₂σ₁₃σ₂₄-σ₁₁σ₂₃σ₂₄+σ₁₂²σ₃₃λ₃₄-σ₁₁σ₂₂σ₃₃λ₃₄-σ₁₂²σ₃₄+σ₁₁σ₂₂σ₃₄

Single Door Criterion:

{3} ⊥ {4} | {1,2}

Parameter: ω₁₁ Identified

Algebraic Equations:

-σ₁₁+ω₁₁

Parameter: ω₁₂ Identified

Algebraic Equations:

-σ₁₂+ω₁₂

Parameter: ω₂₂ Identified

Algebraic Equations:

-σ₂₂+ω₂₂

Parameter: ω₂₄ Identified

Algebraic Equations:

-σ₁₂²σ₁₄σ₂₃²+σ₁₁σ₁₄σ₂₂σ₂₃²+σ₁₂²σ₁₃σ₂₃σ₂₄-σ₁₁σ₁₃σ₂₂σ₂₃σ₂₄+σ₁₂²σ₁₄σ₂₂σ₃₃-σ₁₁σ₁₄σ₂₂²σ₃₃-σ₁₂³σ₂₄σ₃₃+σ₁₁σ₁₂σ₂₂σ₂₄σ₃₃-σ₁₂²σ₁₃σ₂₂σ₃₄+σ₁₁σ₁₃σ₂₂²σ₃₄+σ₁₂³σ₂₃σ₃₄-σ₁₁σ₁₂σ₂₂σ₂₃σ₃₄+σ₁₂σ₁₃²σ₂₂ω₂₄-2σ₁₂²σ₁₃σ₂₃ω₂₄+σ₁₁σ₁₂σ₂₃²ω₂₄+σ₁₂³σ₃₃ω₂₄-σ₁₁σ₁₂σ₂₂σ₃₃ω₂₄

Parameter: ω₃₃ Identified

Algebraic Equations:

-σ₁₃²σ₂₂+2σ₁₂σ₁₃σ₂₃-σ₁₁σ₂₃²-σ₁₂²σ₃₃+σ₁₁σ₂₂σ₃₃+σ₁₂²ω₃₃-σ₁₁σ₂₂ω₃₃

Parameter: ω₄₄ Identified

Algebraic Equations:

σ₁₂²σ₁₃²σ₁₄²σ₂₂σ₂₃²-2σ₁₂³σ₁₃σ₁₄²σ₂₃³+2σ₁₁σ₁₂²σ₁₄²σ₂₃⁴-σ₁₁²σ₁₄²σ₂₂σ₂₃⁴-2σ₁₂²σ₁₃³σ₁₄σ₂₂σ₂₃σ₂₄+4σ₁₂³σ₁₃²σ₁₄σ₂₃²σ₂₄-4σ₁₁σ₁₂²σ₁₃σ₁₄σ₂₃³σ₂₄+2σ₁₁²σ₁₃σ₁₄σ₂₂σ₂₃³σ₂₄+σ₁₂²σ₁₃⁴σ₂₂σ₂₄²-2σ₁₂³σ₁₃³σ₂₃σ₂₄²+2σ₁₁σ₁₂²σ₁₃²σ₂₃²σ₂₄²-σ₁₁²σ₁₃²σ₂₂σ₂₃²σ₂₄²-σ₁₂²σ₁₃²σ₁₄²σ₂₂²σ₃₃+2σ₁₂³σ₁₃σ₁₄²σ₂₂σ₂₃σ₃₃+σ₁₂⁴σ₁₄²σ₂₃²σ₃₃-4σ₁₁σ₁₂²σ₁₄²σ₂₂σ₂₃²σ₃₃+2σ₁₁²σ₁₄²σ₂₂²σ₂₃²σ₃₃+2σ₁₂³σ₁₃²σ₁₄σ₂₂σ₂₄σ₃₃-6σ₁₂⁴σ₁₃σ₁₄σ₂₃σ₂₄σ₃₃+4σ₁₁σ₁₂²σ₁₃σ₁₄σ₂₂σ₂₃σ₂₄σ₃₃-2σ₁₁²σ₁₃σ₁₄σ₂₂²σ₂₃σ₂₄σ₃₃+4σ₁₁σ₁₂³σ₁₄σ₂₃²σ₂₄σ₃₃-2σ₁₁²σ₁₂σ₁₄σ₂₂σ₂₃²σ₂₄σ₃₃+σ₁₂⁴σ₁₃²σ₂₄²σ₃₃-2σ₁₁σ₁₂²σ₁₃²σ₂₂σ₂₄²σ₃₃+2σ₁₁²σ₁₂σ₁₃σ₂₂σ₂₃σ₂₄²σ₃₃-σ₁₁²σ₁₂²σ₂₃²σ₂₄²σ₃₃-σ₁₂⁴σ₁₄²σ₂₂σ₃₃²+2σ₁₁σ₁₂²σ₁₄²σ₂₂²σ₃₃²-σ₁₁²σ₁₄²σ₂₂³σ₃₃²+2σ₁₂⁵σ₁₄σ₂₄σ₃₃²-4σ₁₁σ₁₂³σ₁₄σ₂₂σ₂₄σ₃₃²+2σ₁₁²σ₁₂σ₁₄σ₂₂²σ₂₄σ₃₃²+2σ₁₂²σ₁₃³σ₁₄σ₂₂²σ₃₄-6σ₁₂³σ₁₃²σ₁₄σ₂₂σ₂₃σ₃₄+4σ₁₂⁴σ₁₃σ₁₄σ₂₃²σ₃₄+4σ₁₁σ₁₂²σ₁₃σ₁₄σ₂₂σ₂₃²σ₃₄-2σ₁₁²σ₁₃σ₁₄σ₂₂²σ₂₃²σ₃₄-4σ₁₁σ₁₂³σ₁₄σ₂₃³σ₃₄+2σ₁₁²σ₁₂σ₁₄σ₂₂σ₂₃³σ₃₄-2σ₁₂³σ₁₃³σ₂₂σ₂₄σ₃₄+4σ₁₂⁴σ₁₃²σ₂₃σ₂₄σ₃₄+2σ₁₁²σ₁₃²σ₂₂²σ₂₃σ₂₄σ₃₄-4σ₁₁σ₁₂³σ₁₃σ₂₃²σ₂₄σ₃₄-2σ₁₁²σ₁₂σ₁₃σ₂₂σ₂₃²σ₂₄σ₃₄+2σ₁₁²σ₁₂²σ₂₃³σ₂₄σ₃₄+2σ₁₂⁴σ₁₃σ₁₄σ₂₂σ₃₃σ₃₄-4σ₁₁σ₁₂²σ₁₃σ₁₄σ₂₂²σ₃₃σ₃₄+2σ₁₁²σ₁₃σ₁₄σ₂₂³σ₃₃σ₃₄-2σ₁₂⁵σ₁₄σ₂₃σ₃₃σ₃₄+4σ₁₁σ₁₂³σ₁₄σ₂₂σ₂₃σ₃₃σ₃₄-2σ₁₁²σ₁₂σ₁₄σ₂₂²σ₂₃σ₃₃σ₃₄-2σ₁₂⁵σ₁₃σ₂₄σ₃₃σ₃₄+4σ₁₁σ₁₂³σ₁₃σ₂₂σ₂₄σ₃₃σ₃₄-2σ₁₁²σ₁₂σ₁₃σ₂₂²σ₂₄σ₃₃σ₃₄+σ₁₂⁴σ₁₃²σ₂₂σ₃₄²-σ₁₁²σ₁₃²σ₂₂³σ₃₄²-2σ₁₂⁵σ₁₃σ₂₃σ₃₄²+2σ₁₁²σ₁₂σ₁₃σ₂₂²σ₂₃σ₃₄²+2σ₁₁σ₁₂⁴σ₂₃²σ₃₄²-2σ₁₁²σ₁₂²σ₂₂σ₂₃²σ₃₄²+σ₁₂⁶σ₃₃σ₃₄²-2σ₁₁σ₁₂⁴σ₂₂σ₃₃σ₃₄²+σ₁₁²σ₁₂²σ₂₂²σ₃₃σ₃₄²-σ₁₂²σ₁₃⁴σ₂₂²σ₄₄+4σ₁₂³σ₁₃³σ₂₂σ₂₃σ₄₄-4σ₁₂⁴σ₁₃²σ₂₃²σ₄₄-2σ₁₁σ₁₂²σ₁₃²σ₂₂σ₂₃²σ₄₄+4σ₁₁σ₁₂³σ₁₃σ₂₃³σ₄₄-σ₁₁²σ₁₂²σ₂₃⁴σ₄₄-2σ₁₂⁴σ₁₃²σ₂₂σ₃₃σ₄₄+2σ₁₁σ₁₂²σ₁₃²σ₂₂²σ₃₃σ₄₄+4σ₁₂⁵σ₁₃σ₂₃σ₃₃σ₄₄-4σ₁₁σ₁₂³σ₁₃σ₂₂σ₂₃σ₃₃σ₄₄-2σ₁₁σ₁₂⁴σ₂₃²σ₃₃σ₄₄+2σ₁₁²σ₁₂²σ₂₂σ₂₃²σ₃₃σ₄₄-σ₁₂⁶σ₃₃²σ₄₄+2σ₁₁σ₁₂⁴σ₂₂σ₃₃²σ₄₄-σ₁₁²σ₁₂²σ₂₂²σ₃₃²σ₄₄+σ₁₂²σ₁₃⁴σ₂₂²ω₄₄-4σ₁₂³σ₁₃³σ₂₂σ₂₃ω₄₄+4σ₁₂⁴σ₁₃²σ₂₃²ω₄₄+2σ₁₁σ₁₂²σ₁₃²σ₂₂σ₂₃²ω₄₄-4σ₁₁σ₁₂³σ₁₃σ₂₃³ω₄₄+σ₁₁²σ₁₂²σ₂₃⁴ω₄₄+2σ₁₂⁴σ₁₃²σ₂₂σ₃₃ω₄₄-2σ₁₁σ₁₂²σ₁₃²σ₂₂²σ₃₃ω₄₄-4σ₁₂⁵σ₁₃σ₂₃σ₃₃ω₄₄+4σ₁₁σ₁₂³σ₁₃σ₂₂σ₂₃σ₃₃ω₄₄+2σ₁₁σ₁₂⁴σ₂₃²σ₃₃ω₄₄-2σ₁₁²σ₁₂²σ₂₂σ₂₃²σ₃₃ω₄₄+σ₁₂⁶σ₃₃²ω₄₄-2σ₁₁σ₁₂⁴σ₂₂σ₃₃²ω₄₄+σ₁₁²σ₁₂²σ₂₂²σ₃₃²ω₄₄

Total Effect of X₁ on X₄: λ₁₃λ₃₄ Identified

Each Parameter Identified

Total Effect of X₂ on X₄: λ₂₃λ₃₄+λ₂₄ Identified

Each Parameter Identified

Vanishing Ideal

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