φ_m Conjecture

Equation (23)

$x_1-0.18007858\cdot x_2=0$

Equation (24)

$1.450196459\cdot x_1-1.450196459\cdot x_2=0.450196459$

Equation (25)

$0.39988\cdot x_1+1.39988\cdot x_2=0.39988$

Result:

$x_1=0.04579,x_2=0.26613,x_3=1-x_1-x_2=0.68808$

Golden mean Conjecture

Equation (23)

$x_1-0.1803398\cdot x_2=0$

Equation (24)

$1.4508495\cdot x_1-1.4508495\cdot x_2=0.4508495$

Equation (26)

$0.8454915\cdot x_1-0.1545085\cdot x_2=0$

Result:

$x_1=0.04852,x_2=0.26756,x_3=1-x_1-x_2=0.68392$