# Pのヤコビ行列とヘッセ行列の計算

```python
import sympy as sy
from sympy import sqrt

t = sy.Symbol("t")
l1, l2, l3 = sy.symbols("l1, l2, l3")
xi = sy.Symbol("xi")
# c1, c2, c3, c4, c5, c6, c7, c8, c9, L0, r = sy.symbols(
#     "c1, c2, c3, c4, c5, c6, c7, c8, c9, L0, r"
# )
c1 = 837019575
c2 = 4133430
c3 = 32805
c4 = 486
c5 = 18
c6 = 55801305
c7 = 688905
c8 = 3645
c9 = 81
L0 = 0.15
r = 0.0125
L = sy.Matrix([[l1, l2, l3]]).T

def calc_X(L, xi):
    """アクチュエータ空間からタスク空間への写像

    L = [L[0,0], L[1,0], L[2,0]] -> X = [x, y, z]
    """

    A1 = L[0,0]**2 + L[1,0]**2 + L[1,0]**2 - \
        L[0,0]*L[1,0] - L[0,0]*L[2,0] - L[1,0]*L[2,0]
    A2 = 2*L[0,0] - L[1,0] - L[2,0]
    A3 = L[1,0] - L[2,0]
    A4 = 3*L0 + L[0,0] + L[1,0] + L[2,0]

    x = -(A2 * A1**4 * A4 * xi**10) / ((c1 * r**9)) + \
        (A2 * A1**3 * A4 * xi**8) / (c2 * r**7) - \
            (A2 * A1**2 * A4 * xi**6) / (c3 * r**5) + \
                (A2 * A1 * A4 * xi**4) / (c4 * r**3) - \
                    (A2 * A4 * xi**2) / (c5 * r)

    y = -(sqrt(3) * A4 * A3 * A1**4 * xi**10) / (c1 * r**9) + \
        (sqrt(3) * A4 * A3 * A1**3 * xi**8) / (c2 * r**7) - \
            (sqrt(3) * A4 * A3 * A1**2 * xi**6) / (c3 * r**5) + \
                (sqrt(3) * A4 * A1 * A2 * xi**4) / (c4 * r**3) - \
                    (sqrt(3) * A4 * A3 * xi**2) / (c5 * r)

    z = (2 * A1**4 * A4 * xi**9) / (c6 * r**8) - \
        (4 * A1**3 * A4 * xi**7) / (c7 * r**6) + \
            (2 * A1**2 * A4 * xi**5) / (c8 * r**4) - \
                (2 * A1 *A4 * xi**3) / (c9 * r**2) + \
                    (A4 * xi) / 3

    return sy.Matrix([[x, y, z]]).T

```

ヤコビ行列を計算

```python
X = calc_X(L, xi)

J = X.jacobian(L)
J = J.subs(xi, 1)
J = sy.simplify(J)
J
```

$\displaystyle \left[\begin{matrix}- 17.7777777777778 l_{1} - 4.44444444444444 l_{2} - 4.44444444444444 l_{3} + \left(- 320703916.631818 l_{1} + 160351958.315909 l_{2} + 160351958.315909 l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{4} + \left(- 10147272.3621786 l_{1} + 5073636.18108931 l_{2} + 5073636.18108931 l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} + \left(- 199774.424630392 l_{1} + 99887.2123151958 l_{2} + 99887.2123151958 l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} + 641407833.263636 \left(- 2 l_{1} + l_{2} + l_{3}\right)^{2} \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} + 15220908.5432679 \left(- 2 l_{1} + l_{2} + l_{3}\right)^{2} \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} + 199774.424630392 \left(- 2 l_{1} + l_{2} + l_{3}\right)^{2} \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right) + \left(- 2 l_{1} + l_{2} + l_{3}\right)^{2} \left(1053.49794238683 l_{1} + 1053.49794238683 l_{2} + 1053.49794238683 l_{3} + 474.074074074074\right) + 1053.49794238683 \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right) - 2106.99588477366 \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right) - \left(199774.424630392 l_{1} + 199774.424630392 l_{2} + 199774.424630392 l_{3} + 89898.4910836762\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} - \left(10147272.3621786 l_{1} + 10147272.3621786 l_{2} + 10147272.3621786 l_{3} + 4566272.56298038\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} - \left(320703916.631818 l_{1} + 320703916.631818 l_{2} + 320703916.631818 l_{3} + 144316762.484318\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{4} - 4.0 & - 4.44444444444444 l_{1} + 8.88888888888889 l_{2} + 8.88888888888889 l_{3} + \left(- 320703916.631818 l_{1} + 160351958.315909 l_{2} + 160351958.315909 l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{4} + \left(- 10147272.3621786 l_{1} + 5073636.18108931 l_{2} + 5073636.18108931 l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} + \left(- 199774.424630392 l_{1} + 99887.2123151958 l_{2} + 99887.2123151958 l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} + 641407833.263636 \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(l_{1} - 4 l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} + 15220908.5432679 \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(l_{1} - 4 l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} + 199774.424630392 \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(l_{1} - 4 l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right) + 1053.49794238683 \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(l_{1} - 4 l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) + 1053.49794238683 \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right) + 1053.49794238683 \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right) + \left(99887.2123151958 l_{1} + 99887.2123151958 l_{2} + 99887.2123151958 l_{3} + 44949.2455418381\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} + \left(5073636.18108931 l_{1} + 5073636.18108931 l_{2} + 5073636.18108931 l_{3} + 2283136.28149019\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} + \left(160351958.315909 l_{1} + 160351958.315909 l_{2} + 160351958.315909 l_{3} + 72158381.2421591\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{4} + 2.0 & - 4.44444444444444 l_{1} + 8.88888888888889 l_{2} + 8.88888888888889 l_{3} + 641407833.263636 \left(l_{1} + l_{2}\right) \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} + 15220908.5432679 \left(l_{1} + l_{2}\right) \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} + 199774.424630392 \left(l_{1} + l_{2}\right) \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right) + 1053.49794238683 \left(l_{1} + l_{2}\right) \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) + \left(- 320703916.631818 l_{1} + 160351958.315909 l_{2} + 160351958.315909 l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{4} + \left(- 10147272.3621786 l_{1} + 5073636.18108931 l_{2} + 5073636.18108931 l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} + \left(- 199774.424630392 l_{1} + 99887.2123151958 l_{2} + 99887.2123151958 l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} + 1053.49794238683 \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right) + 1053.49794238683 \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right) + \left(99887.2123151958 l_{1} + 99887.2123151958 l_{2} + 99887.2123151958 l_{3} + 44949.2455418381\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} + \left(5073636.18108931 l_{1} + 5073636.18108931 l_{2} + 5073636.18108931 l_{3} + 2283136.28149019\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} + \left(160351958.315909 l_{1} + 160351958.315909 l_{2} + 160351958.315909 l_{3} + 72158381.2421591\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{4} + 2.0\\\sqrt{3} \left(- 4.44444444444444 l_{2} + 4.44444444444444 l_{3} + 160351958.315909 \left(- l_{2} + l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{4} + 5073636.18108931 \left(- l_{2} + l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} + 99887.2123151958 \left(- l_{2} + l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} - 641407833.263636 \left(l_{2} - l_{3}\right) \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} - 15220908.5432679 \left(l_{2} - l_{3}\right) \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} - 199774.424630392 \left(l_{2} - l_{3}\right) \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right) + \left(- 2 l_{1} + l_{2} + l_{3}\right)^{2} \left(1053.49794238683 l_{1} + 1053.49794238683 l_{2} + 1053.49794238683 l_{3} + 474.074074074074\right) + 1053.49794238683 \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right) - 2106.99588477366 \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)\right) & \sqrt{3} \left(- 4.44444444444444 l_{1} - 8.88888888888889 l_{2} + 160351958.315909 \left(- l_{2} + l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{4} + 5073636.18108931 \left(- l_{2} + l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} + 99887.2123151958 \left(- l_{2} + l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} - 641407833.263636 \left(l_{2} - l_{3}\right) \left(l_{1} - 4 l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} - 15220908.5432679 \left(l_{2} - l_{3}\right) \left(l_{1} - 4 l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} - 199774.424630392 \left(l_{2} - l_{3}\right) \left(l_{1} - 4 l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right) + 1053.49794238683 \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(l_{1} - 4 l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) + 1053.49794238683 \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right) + 1053.49794238683 \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right) - \left(99887.2123151958 l_{1} + 99887.2123151958 l_{2} + 99887.2123151958 l_{3} + 44949.2455418381\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} - \left(5073636.18108931 l_{1} + 5073636.18108931 l_{2} + 5073636.18108931 l_{3} + 2283136.28149019\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} - \left(160351958.315909 l_{1} + 160351958.315909 l_{2} + 160351958.315909 l_{3} + 72158381.2421591\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{4} - 2.0\right) & \sqrt{3} \left(4.44444444444444 l_{1} + 8.88888888888889 l_{3} - 641407833.263636 \left(l_{1} + l_{2}\right) \left(l_{2} - l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} - 15220908.5432679 \left(l_{1} + l_{2}\right) \left(l_{2} - l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} - 199774.424630392 \left(l_{1} + l_{2}\right) \left(l_{2} - l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right) + 1053.49794238683 \left(l_{1} + l_{2}\right) \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) + 160351958.315909 \left(- l_{2} + l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{4} + 5073636.18108931 \left(- l_{2} + l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} + 99887.2123151958 \left(- l_{2} + l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} + 1053.49794238683 \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right) + 1053.49794238683 \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right) + \left(99887.2123151958 l_{1} + 99887.2123151958 l_{2} + 99887.2123151958 l_{3} + 44949.2455418381\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} + \left(5073636.18108931 l_{1} + 5073636.18108931 l_{2} + 5073636.18108931 l_{3} + 2283136.28149019\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} + \left(160351958.315909 l_{1} + 160351958.315909 l_{2} + 160351958.315909 l_{3} + 72158381.2421591\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{4} + 2.0\right)\\- 158.024691358025 l_{1}^{2} + 158.024691358025 l_{1} l_{2} + 158.024691358025 l_{1} l_{3} - 316.049382716049 l_{2}^{2} + 158.024691358025 l_{2} l_{3} + 240527937.473864 \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} + 4566272.56298038 \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} + 44949.2455418381 \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right) + 158.024691358025 \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) + 60131984.3684659 \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{4} + 1522090.85432679 \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} + 22474.6227709191 \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} + \frac{1}{3} & - 158.024691358025 l_{1}^{2} + 158.024691358025 l_{1} l_{2} + 158.024691358025 l_{1} l_{3} - 316.049382716049 l_{2}^{2} + 158.024691358025 l_{2} l_{3} + 240527937.473864 \left(l_{1} - 4 l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} + 4566272.56298038 \left(l_{1} - 4 l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} + 44949.2455418381 \left(l_{1} - 4 l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right) + 158.024691358025 \left(l_{1} - 4 l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) + 60131984.3684659 \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{4} + 1522090.85432679 \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} + 22474.6227709191 \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} + \frac{1}{3} & - 158.024691358025 l_{1}^{2} + 158.024691358025 l_{1} l_{2} + 158.024691358025 l_{1} l_{3} - 316.049382716049 l_{2}^{2} + 158.024691358025 l_{2} l_{3} + 240527937.473864 \left(l_{1} + l_{2}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} + 4566272.56298038 \left(l_{1} + l_{2}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} + 44949.2455418381 \left(l_{1} + l_{2}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right) + 158.024691358025 \left(l_{1} + l_{2}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) + 60131984.3684659 \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{4} + 1522090.85432679 \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} + 22474.6227709191 \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} + \frac{1}{3}\end{matrix}\right]$

```python
print(J)
```

    Matrix([[-17.7777777777778*l1 - 4.44444444444444*l2 - 4.44444444444444*l3 + (-320703916.631818*l1 + 160351958.315909*l2 + 160351958.315909*l3)*(-l1**2 + l1*l2 + l1*l3 - 2*l2**2 + l2*l3)**4 + (-10147272.3621786*l1 + 5073636.18108931*l2 + 5073636.18108931*l3)*(-l1**2 + l1*l2 + l1*l3 - 2*l2**2 + l2*l3)**3 + (-199774.424630392*l1 + 99887.2123151958*l2 + 99887.2123151958*l3)*(-l1**2 + l1*l2 + l1*l3 - 2*l2**2 + l2*l3)**2 + 641407833.263636*(-2*l1 + l2 + l3)**2*(l1 + l2 + l3 + 0.45)*(-l1**2 + l1*l2 + l1*l3 - 2*l2**2 + l2*l3)**3 + 15220908.5432679*(-2*l1 + l2 + l3)**2*(l1 + l2 + l3 + 0.45)*(-l1**2 + l1*l2 + l1*l3 - 2*l2**2 + l2*l3)**2 + 199774.424630392*(-2*l1 + l2 + l3)**2*(l1 + l2 + l3 + 0.45)*(-l1**2 + l1*l2 + l1*l3 - 2*l2**2 + l2*l3) + (-2*l1 + l2 + l3)**2*(1053.49794238683*l1 + 1053.49794238683*l2 + 1053.49794238683*l3 + 474.074074074074) + 1053.49794238683*(-2*l1 + l2 + l3)*(-l1**2 + l1*l2 + l1*l3 - 2*l2**2 + l2*l3) - 2106.99588477366*(l1 + l2 + l3 + 0.45)*(-l1**2 + l1*l2 + l1*l3 - 2*l2**2 + l2*l3) - (199774.424630392*l1 + 199774.424630392*l2 + 199774.424630392*l3 + 89898.4910836762)*(-l1**2 + l1*l2 + l1*l3 - 2*l2**2 + l2*l3)**2 - (10147272.3621786*l1 + 10147272.3621786*l2 + 10147272.3621786*l3 + 4566272.56298038)*(-l1**2 + l1*l2 + l1*l3 - 2*l2**2 + l2*l3)**3 - (320703916.631818*l1 + 320703916.631818*l2 + 320703916.631818*l3 + 144316762.484318)*(-l1**2 + l1*l2 + l1*l3 - 2*l2**2 + l2*l3)**4 - 4.0, -4.44444444444444*l1 + 8.88888888888889*l2 + 8.88888888888889*l3 + (-320703916.631818*l1 + 160351958.315909*l2 + 160351958.315909*l3)*(-l1**2 + l1*l2 + l1*l3 - 2*l2**2 + l2*l3)**4 + (-10147272.3621786*l1 + 5073636.18108931*l2 + 5073636.18108931*l3)*(-l1**2 + l1*l2 + l1*l3 - 2*l2**2 + l2*l3)**3 + (-199774.424630392*l1 + 99887.2123151958*l2 + 99887.2123151958*l3)*(-l1**2 + l1*l2 + l1*l3 - 2*l2**2 + l2*l3)**2 + 641407833.263636*(-2*l1 + l2 + l3)*(l1 - 4*l2 + l3)*(l1 + l2 + l3 + 0.45)*(-l1**2 + l1*l2 + l1*l3 - 2*l2**2 + l2*l3)**3 + 15220908.5432679*(-2*l1 + l2 + l3)*(l1 - 4*l2 + l3)*(l1 + l2 + l3 + 0.45)*(-l1**2 + l1*l2 + l1*l3 - 2*l2**2 + l2*l3)**2 + 199774.424630392*(-2*l1 + l2 + l3)*(l1 - 4*l2 + l3)*(l1 + l2 + l3 + 0.45)*(-l1**2 + l1*l2 + l1*l3 - 2*l2**2 + l2*l3) + 1053.49794238683*(-2*l1 + l2 + l3)*(l1 - 4*l2 + l3)*(l1 + l2 + l3 + 0.45) + 1053.49794238683*(-2*l1 + l2 + l3)*(-l1**2 + l1*l2 + l1*l3 - 2*l2**2 + l2*l3) + 1053.49794238683*(l1 + l2 + l3 + 0.45)*(-l1**2 + l1*l2 + l1*l3 - 2*l2**2 + l2*l3) + (99887.2123151958*l1 + 99887.2123151958*l2 + 99887.2123151958*l3 + 44949.2455418381)*(-l1**2 + l1*l2 + l1*l3 - 2*l2**2 + l2*l3)**2 + (5073636.18108931*l1 + 5073636.18108931*l2 + 5073636.18108931*l3 + 2283136.28149019)*(-l1**2 + l1*l2 + l1*l3 - 2*l2**2 + l2*l3)**3 + (160351958.315909*l1 + 160351958.315909*l2 + 160351958.315909*l3 + 72158381.2421591)*(-l1**2 + l1*l2 + l1*l3 - 2*l2**2 + l2*l3)**4 + 2.0, -4.44444444444444*l1 + 8.88888888888889*l2 + 8.88888888888889*l3 + 641407833.263636*(l1 + l2)*(-2*l1 + l2 + l3)*(l1 + l2 + l3 + 0.45)*(-l1**2 + l1*l2 + l1*l3 - 2*l2**2 + l2*l3)**3 + 15220908.5432679*(l1 + l2)*(-2*l1 + l2 + l3)*(l1 + l2 + l3 + 0.45)*(-l1**2 + l1*l2 + l1*l3 - 2*l2**2 + l2*l3)**2 + 199774.424630392*(l1 + l2)*(-2*l1 + l2 + l3)*(l1 + l2 + l3 + 0.45)*(-l1**2 + l1*l2 + l1*l3 - 2*l2**2 + l2*l3) + 1053.49794238683*(l1 + l2)*(-2*l1 + l2 + l3)*(l1 + l2 + l3 + 0.45) + (-320703916.631818*l1 + 160351958.315909*l2 + 160351958.315909*l3)*(-l1**2 + l1*l2 + l1*l3 - 2*l2**2 + l2*l3)**4 + (-10147272.3621786*l1 + 5073636.18108931*l2 + 5073636.18108931*l3)*(-l1**2 + l1*l2 + l1*l3 - 2*l2**2 + l2*l3)**3 + (-199774.424630392*l1 + 99887.2123151958*l2 + 99887.2123151958*l3)*(-l1**2 + l1*l2 + l1*l3 - 2*l2**2 + l2*l3)**2 + 1053.49794238683*(-2*l1 + l2 + l3)*(-l1**2 + l1*l2 + l1*l3 - 2*l2**2 + l2*l3) + 1053.49794238683*(l1 + l2 + l3 + 0.45)*(-l1**2 + l1*l2 + l1*l3 - 2*l2**2 + l2*l3) + (99887.2123151958*l1 + 99887.2123151958*l2 + 99887.2123151958*l3 + 44949.2455418381)*(-l1**2 + l1*l2 + l1*l3 - 2*l2**2 + l2*l3)**2 + (5073636.18108931*l1 + 5073636.18108931*l2 + 5073636.18108931*l3 + 2283136.28149019)*(-l1**2 + l1*l2 + l1*l3 - 2*l2**2 + l2*l3)**3 + (160351958.315909*l1 + 160351958.315909*l2 + 160351958.315909*l3 + 72158381.2421591)*(-l1**2 + l1*l2 + l1*l3 - 2*l2**2 + l2*l3)**4 + 2.0], [sqrt(3)*(-4.44444444444444*l2 + 4.44444444444444*l3 + 160351958.315909*(-l2 + l3)*(-l1**2 + l1*l2 + l1*l3 - 2*l2**2 + l2*l3)**4 + 5073636.18108931*(-l2 + l3)*(-l1**2 + l1*l2 + l1*l3 - 2*l2**2 + l2*l3)**3 + 99887.2123151958*(-l2 + l3)*(-l1**2 + l1*l2 + l1*l3 - 2*l2**2 + l2*l3)**2 - 641407833.263636*(l2 - l3)*(-2*l1 + l2 + l3)*(l1 + l2 + l3 + 0.45)*(-l1**2 + l1*l2 + l1*l3 - 2*l2**2 + l2*l3)**3 - 15220908.5432679*(l2 - l3)*(-2*l1 + l2 + l3)*(l1 + l2 + l3 + 0.45)*(-l1**2 + l1*l2 + l1*l3 - 2*l2**2 + l2*l3)**2 - 199774.424630392*(l2 - l3)*(-2*l1 + l2 + l3)*(l1 + l2 + l3 + 0.45)*(-l1**2 + l1*l2 + l1*l3 - 2*l2**2 + l2*l3) + (-2*l1 + l2 + l3)**2*(1053.49794238683*l1 + 1053.49794238683*l2 + 1053.49794238683*l3 + 474.074074074074) + 1053.49794238683*(-2*l1 + l2 + l3)*(-l1**2 + l1*l2 + l1*l3 - 2*l2**2 + l2*l3) - 2106.99588477366*(l1 + l2 + l3 + 0.45)*(-l1**2 + l1*l2 + l1*l3 - 2*l2**2 + l2*l3)), sqrt(3)*(-4.44444444444444*l1 - 8.88888888888889*l2 + 160351958.315909*(-l2 + l3)*(-l1**2 + l1*l2 + l1*l3 - 2*l2**2 + l2*l3)**4 + 5073636.18108931*(-l2 + l3)*(-l1**2 + l1*l2 + l1*l3 - 2*l2**2 + l2*l3)**3 + 99887.2123151958*(-l2 + l3)*(-l1**2 + l1*l2 + l1*l3 - 2*l2**2 + l2*l3)**2 - 641407833.263636*(l2 - l3)*(l1 - 4*l2 + l3)*(l1 + l2 + l3 + 0.45)*(-l1**2 + l1*l2 + l1*l3 - 2*l2**2 + l2*l3)**3 - 15220908.5432679*(l2 - l3)*(l1 - 4*l2 + l3)*(l1 + l2 + l3 + 0.45)*(-l1**2 + l1*l2 + l1*l3 - 2*l2**2 + l2*l3)**2 - 199774.424630392*(l2 - l3)*(l1 - 4*l2 + l3)*(l1 + l2 + l3 + 0.45)*(-l1**2 + l1*l2 + l1*l3 - 2*l2**2 + l2*l3) + 1053.49794238683*(-2*l1 + l2 + l3)*(l1 - 4*l2 + l3)*(l1 + l2 + l3 + 0.45) + 1053.49794238683*(-2*l1 + l2 + l3)*(-l1**2 + l1*l2 + l1*l3 - 2*l2**2 + l2*l3) + 1053.49794238683*(l1 + l2 + l3 + 0.45)*(-l1**2 + l1*l2 + l1*l3 - 2*l2**2 + l2*l3) - (99887.2123151958*l1 + 99887.2123151958*l2 + 99887.2123151958*l3 + 44949.2455418381)*(-l1**2 + l1*l2 + l1*l3 - 2*l2**2 + l2*l3)**2 - (5073636.18108931*l1 + 5073636.18108931*l2 + 5073636.18108931*l3 + 2283136.28149019)*(-l1**2 + l1*l2 + l1*l3 - 2*l2**2 + l2*l3)**3 - (160351958.315909*l1 + 160351958.315909*l2 + 160351958.315909*l3 + 72158381.2421591)*(-l1**2 + l1*l2 + l1*l3 - 2*l2**2 + l2*l3)**4 - 2.0), sqrt(3)*(4.44444444444444*l1 + 8.88888888888889*l3 - 641407833.263636*(l1 + l2)*(l2 - l3)*(l1 + l2 + l3 + 0.45)*(-l1**2 + l1*l2 + l1*l3 - 2*l2**2 + l2*l3)**3 - 15220908.5432679*(l1 + l2)*(l2 - l3)*(l1 + l2 + l3 + 0.45)*(-l1**2 + l1*l2 + l1*l3 - 2*l2**2 + l2*l3)**2 - 199774.424630392*(l1 + l2)*(l2 - l3)*(l1 + l2 + l3 + 0.45)*(-l1**2 + l1*l2 + l1*l3 - 2*l2**2 + l2*l3) + 1053.49794238683*(l1 + l2)*(-2*l1 + l2 + l3)*(l1 + l2 + l3 + 0.45) + 160351958.315909*(-l2 + l3)*(-l1**2 + l1*l2 + l1*l3 - 2*l2**2 + l2*l3)**4 + 5073636.18108931*(-l2 + l3)*(-l1**2 + l1*l2 + l1*l3 - 2*l2**2 + l2*l3)**3 + 99887.2123151958*(-l2 + l3)*(-l1**2 + l1*l2 + l1*l3 - 2*l2**2 + l2*l3)**2 + 1053.49794238683*(-2*l1 + l2 + l3)*(-l1**2 + l1*l2 + l1*l3 - 2*l2**2 + l2*l3) + 1053.49794238683*(l1 + l2 + l3 + 0.45)*(-l1**2 + l1*l2 + l1*l3 - 2*l2**2 + l2*l3) + (99887.2123151958*l1 + 99887.2123151958*l2 + 99887.2123151958*l3 + 44949.2455418381)*(-l1**2 + l1*l2 + l1*l3 - 2*l2**2 + l2*l3)**2 + (5073636.18108931*l1 + 5073636.18108931*l2 + 5073636.18108931*l3 + 2283136.28149019)*(-l1**2 + l1*l2 + l1*l3 - 2*l2**2 + l2*l3)**3 + (160351958.315909*l1 + 160351958.315909*l2 + 160351958.315909*l3 + 72158381.2421591)*(-l1**2 + l1*l2 + l1*l3 - 2*l2**2 + l2*l3)**4 + 2.0)], [-158.024691358025*l1**2 + 158.024691358025*l1*l2 + 158.024691358025*l1*l3 - 316.049382716049*l2**2 + 158.024691358025*l2*l3 + 240527937.473864*(-2*l1 + l2 + l3)*(l1 + l2 + l3 + 0.45)*(-l1**2 + l1*l2 + l1*l3 - 2*l2**2 + l2*l3)**3 + 4566272.56298038*(-2*l1 + l2 + l3)*(l1 + l2 + l3 + 0.45)*(-l1**2 + l1*l2 + l1*l3 - 2*l2**2 + l2*l3)**2 + 44949.2455418381*(-2*l1 + l2 + l3)*(l1 + l2 + l3 + 0.45)*(-l1**2 + l1*l2 + l1*l3 - 2*l2**2 + l2*l3) + 158.024691358025*(-2*l1 + l2 + l3)*(l1 + l2 + l3 + 0.45) + 60131984.3684659*(-l1**2 + l1*l2 + l1*l3 - 2*l2**2 + l2*l3)**4 + 1522090.85432679*(-l1**2 + l1*l2 + l1*l3 - 2*l2**2 + l2*l3)**3 + 22474.6227709191*(-l1**2 + l1*l2 + l1*l3 - 2*l2**2 + l2*l3)**2 + 1/3, -158.024691358025*l1**2 + 158.024691358025*l1*l2 + 158.024691358025*l1*l3 - 316.049382716049*l2**2 + 158.024691358025*l2*l3 + 240527937.473864*(l1 - 4*l2 + l3)*(l1 + l2 + l3 + 0.45)*(-l1**2 + l1*l2 + l1*l3 - 2*l2**2 + l2*l3)**3 + 4566272.56298038*(l1 - 4*l2 + l3)*(l1 + l2 + l3 + 0.45)*(-l1**2 + l1*l2 + l1*l3 - 2*l2**2 + l2*l3)**2 + 44949.2455418381*(l1 - 4*l2 + l3)*(l1 + l2 + l3 + 0.45)*(-l1**2 + l1*l2 + l1*l3 - 2*l2**2 + l2*l3) + 158.024691358025*(l1 - 4*l2 + l3)*(l1 + l2 + l3 + 0.45) + 60131984.3684659*(-l1**2 + l1*l2 + l1*l3 - 2*l2**2 + l2*l3)**4 + 1522090.85432679*(-l1**2 + l1*l2 + l1*l3 - 2*l2**2 + l2*l3)**3 + 22474.6227709191*(-l1**2 + l1*l2 + l1*l3 - 2*l2**2 + l2*l3)**2 + 1/3, -158.024691358025*l1**2 + 158.024691358025*l1*l2 + 158.024691358025*l1*l3 - 316.049382716049*l2**2 + 158.024691358025*l2*l3 + 240527937.473864*(l1 + l2)*(l1 + l2 + l3 + 0.45)*(-l1**2 + l1*l2 + l1*l3 - 2*l2**2 + l2*l3)**3 + 4566272.56298038*(l1 + l2)*(l1 + l2 + l3 + 0.45)*(-l1**2 + l1*l2 + l1*l3 - 2*l2**2 + l2*l3)**2 + 44949.2455418381*(l1 + l2)*(l1 + l2 + l3 + 0.45)*(-l1**2 + l1*l2 + l1*l3 - 2*l2**2 + l2*l3) + 158.024691358025*(l1 + l2)*(l1 + l2 + l3 + 0.45) + 60131984.3684659*(-l1**2 + l1*l2 + l1*l3 - 2*l2**2 + l2*l3)**4 + 1522090.85432679*(-l1**2 + l1*l2 + l1*l3 - 2*l2**2 + l2*l3)**3 + 22474.6227709191*(-l1**2 + l1*l2 + l1*l3 - 2*l2**2 + l2*l3)**2 + 1/3]])

ヤコビ行列の要素をプリント

```python
# J11
J[0, 0]
```

$\displaystyle - 17.7777777777778 l_{1} - 4.44444444444444 l_{2} - 4.44444444444444 l_{3} + \left(- 320703916.631818 l_{1} + 160351958.315909 l_{2} + 160351958.315909 l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{4} + \left(- 10147272.3621786 l_{1} + 5073636.18108931 l_{2} + 5073636.18108931 l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} + \left(- 199774.424630392 l_{1} + 99887.2123151958 l_{2} + 99887.2123151958 l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} + 641407833.263636 \left(- 2 l_{1} + l_{2} + l_{3}\right)^{2} \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} + 15220908.5432679 \left(- 2 l_{1} + l_{2} + l_{3}\right)^{2} \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} + 199774.424630392 \left(- 2 l_{1} + l_{2} + l_{3}\right)^{2} \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right) + \left(- 2 l_{1} + l_{2} + l_{3}\right)^{2} \left(1053.49794238683 l_{1} + 1053.49794238683 l_{2} + 1053.49794238683 l_{3} + 474.074074074074\right) + 1053.49794238683 \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right) - 2106.99588477366 \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right) - \left(199774.424630392 l_{1} + 199774.424630392 l_{2} + 199774.424630392 l_{3} + 89898.4910836762\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} - \left(10147272.3621786 l_{1} + 10147272.3621786 l_{2} + 10147272.3621786 l_{3} + 4566272.56298038\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} - \left(320703916.631818 l_{1} + 320703916.631818 l_{2} + 320703916.631818 l_{3} + 144316762.484318\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{4} - 4.0$

```python
# J12
J[0, 1]
```

$\displaystyle - 4.44444444444444 l_{1} + 8.88888888888889 l_{2} + 8.88888888888889 l_{3} + \left(- 320703916.631818 l_{1} + 160351958.315909 l_{2} + 160351958.315909 l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{4} + \left(- 10147272.3621786 l_{1} + 5073636.18108931 l_{2} + 5073636.18108931 l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} + \left(- 199774.424630392 l_{1} + 99887.2123151958 l_{2} + 99887.2123151958 l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} + 641407833.263636 \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(l_{1} - 4 l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} + 15220908.5432679 \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(l_{1} - 4 l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} + 199774.424630392 \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(l_{1} - 4 l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right) + 1053.49794238683 \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(l_{1} - 4 l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) + 1053.49794238683 \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right) + 1053.49794238683 \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right) + \left(99887.2123151958 l_{1} + 99887.2123151958 l_{2} + 99887.2123151958 l_{3} + 44949.2455418381\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} + \left(5073636.18108931 l_{1} + 5073636.18108931 l_{2} + 5073636.18108931 l_{3} + 2283136.28149019\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} + \left(160351958.315909 l_{1} + 160351958.315909 l_{2} + 160351958.315909 l_{3} + 72158381.2421591\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{4} + 2.0$

```python
# J13
J[0, 2]
```

$\displaystyle - 4.44444444444444 l_{1} + 8.88888888888889 l_{2} + 8.88888888888889 l_{3} + 641407833.263636 \left(l_{1} + l_{2}\right) \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} + 15220908.5432679 \left(l_{1} + l_{2}\right) \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} + 199774.424630392 \left(l_{1} + l_{2}\right) \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right) + 1053.49794238683 \left(l_{1} + l_{2}\right) \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) + \left(- 320703916.631818 l_{1} + 160351958.315909 l_{2} + 160351958.315909 l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{4} + \left(- 10147272.3621786 l_{1} + 5073636.18108931 l_{2} + 5073636.18108931 l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} + \left(- 199774.424630392 l_{1} + 99887.2123151958 l_{2} + 99887.2123151958 l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} + 1053.49794238683 \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right) + 1053.49794238683 \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right) + \left(99887.2123151958 l_{1} + 99887.2123151958 l_{2} + 99887.2123151958 l_{3} + 44949.2455418381\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} + \left(5073636.18108931 l_{1} + 5073636.18108931 l_{2} + 5073636.18108931 l_{3} + 2283136.28149019\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} + \left(160351958.315909 l_{1} + 160351958.315909 l_{2} + 160351958.315909 l_{3} + 72158381.2421591\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{4} + 2.0$

```python
# J21
J[1, 0]
```

$\displaystyle \sqrt{3} \left(- 4.44444444444444 l_{2} + 4.44444444444444 l_{3} + 160351958.315909 \left(- l_{2} + l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{4} + 5073636.18108931 \left(- l_{2} + l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} + 99887.2123151958 \left(- l_{2} + l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} - 641407833.263636 \left(l_{2} - l_{3}\right) \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} - 15220908.5432679 \left(l_{2} - l_{3}\right) \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} - 199774.424630392 \left(l_{2} - l_{3}\right) \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right) + \left(- 2 l_{1} + l_{2} + l_{3}\right)^{2} \left(1053.49794238683 l_{1} + 1053.49794238683 l_{2} + 1053.49794238683 l_{3} + 474.074074074074\right) + 1053.49794238683 \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right) - 2106.99588477366 \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)\right)$

```python
# J22
J[1, 1]
```

$\displaystyle \sqrt{3} \left(- 4.44444444444444 l_{1} - 8.88888888888889 l_{2} + 160351958.315909 \left(- l_{2} + l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{4} + 5073636.18108931 \left(- l_{2} + l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} + 99887.2123151958 \left(- l_{2} + l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} - 641407833.263636 \left(l_{2} - l_{3}\right) \left(l_{1} - 4 l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} - 15220908.5432679 \left(l_{2} - l_{3}\right) \left(l_{1} - 4 l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} - 199774.424630392 \left(l_{2} - l_{3}\right) \left(l_{1} - 4 l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right) + 1053.49794238683 \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(l_{1} - 4 l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) + 1053.49794238683 \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right) + 1053.49794238683 \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right) - \left(99887.2123151958 l_{1} + 99887.2123151958 l_{2} + 99887.2123151958 l_{3} + 44949.2455418381\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} - \left(5073636.18108931 l_{1} + 5073636.18108931 l_{2} + 5073636.18108931 l_{3} + 2283136.28149019\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} - \left(160351958.315909 l_{1} + 160351958.315909 l_{2} + 160351958.315909 l_{3} + 72158381.2421591\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{4} - 2.0\right)$

```python
# J23
J[1, 2]
```

$\displaystyle \sqrt{3} \left(4.44444444444444 l_{1} + 8.88888888888889 l_{3} - 641407833.263636 \left(l_{1} + l_{2}\right) \left(l_{2} - l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} - 15220908.5432679 \left(l_{1} + l_{2}\right) \left(l_{2} - l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} - 199774.424630392 \left(l_{1} + l_{2}\right) \left(l_{2} - l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right) + 1053.49794238683 \left(l_{1} + l_{2}\right) \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) + 160351958.315909 \left(- l_{2} + l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{4} + 5073636.18108931 \left(- l_{2} + l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} + 99887.2123151958 \left(- l_{2} + l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} + 1053.49794238683 \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right) + 1053.49794238683 \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right) + \left(99887.2123151958 l_{1} + 99887.2123151958 l_{2} + 99887.2123151958 l_{3} + 44949.2455418381\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} + \left(5073636.18108931 l_{1} + 5073636.18108931 l_{2} + 5073636.18108931 l_{3} + 2283136.28149019\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} + \left(160351958.315909 l_{1} + 160351958.315909 l_{2} + 160351958.315909 l_{3} + 72158381.2421591\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{4} + 2.0\right)$

```python
# J31
J[2, 0]
```

$\displaystyle - 158.024691358025 l_{1}^{2} + 158.024691358025 l_{1} l_{2} + 158.024691358025 l_{1} l_{3} - 316.049382716049 l_{2}^{2} + 158.024691358025 l_{2} l_{3} + 240527937.473864 \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} + 4566272.56298038 \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} + 44949.2455418381 \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right) + 158.024691358025 \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) + 60131984.3684659 \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{4} + 1522090.85432679 \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} + 22474.6227709191 \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} + \frac{1}{3}$

```python
# J32
J[2, 1]
```

$\displaystyle - 158.024691358025 l_{1}^{2} + 158.024691358025 l_{1} l_{2} + 158.024691358025 l_{1} l_{3} - 316.049382716049 l_{2}^{2} + 158.024691358025 l_{2} l_{3} + 240527937.473864 \left(l_{1} - 4 l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} + 4566272.56298038 \left(l_{1} - 4 l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} + 44949.2455418381 \left(l_{1} - 4 l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right) + 158.024691358025 \left(l_{1} - 4 l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) + 60131984.3684659 \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{4} + 1522090.85432679 \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} + 22474.6227709191 \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} + \frac{1}{3}$

```python
# J33
J[2, 2]
```

$\displaystyle - 158.024691358025 l_{1}^{2} + 158.024691358025 l_{1} l_{2} + 158.024691358025 l_{1} l_{3} - 316.049382716049 l_{2}^{2} + 158.024691358025 l_{2} l_{3} + 240527937.473864 \left(l_{1} + l_{2}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} + 4566272.56298038 \left(l_{1} + l_{2}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} + 44949.2455418381 \left(l_{1} + l_{2}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right) + 158.024691358025 \left(l_{1} + l_{2}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) + 60131984.3684659 \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{4} + 1522090.85432679 \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} + 22474.6227709191 \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} + \frac{1}{3}$

## ヤコビ行列の行列式

```python
detJ = J[0,0]*J[1,1]*J[2,2] + J[0,1]*J[1,2]*J[2,0] + J[0,2]*J[1,0]*J[2,1] -\
    (J[0,2]*J[1,1]*J[2,0] + J[0,1]*J[1,0]*J[2,2] + J[0,0]*J[1,2]*J[2,1])
detJ
```

$\displaystyle - \sqrt{3} \left(- 4.44444444444444 l_{2} + 4.44444444444444 l_{3} + 160351958.315909 \left(- l_{2} + l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{4} + 5073636.18108931 \left(- l_{2} + l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} + 99887.2123151958 \left(- l_{2} + l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} - 641407833.263636 \left(l_{2} - l_{3}\right) \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} - 15220908.5432679 \left(l_{2} - l_{3}\right) \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} - 199774.424630392 \left(l_{2} - l_{3}\right) \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right) + \left(- 2 l_{1} + l_{2} + l_{3}\right)^{2} \left(1053.49794238683 l_{1} + 1053.49794238683 l_{2} + 1053.49794238683 l_{3} + 474.074074074074\right) + 1053.49794238683 \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right) - 2106.99588477366 \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)\right) \left(- 158.024691358025 l_{1}^{2} + 158.024691358025 l_{1} l_{2} + 158.024691358025 l_{1} l_{3} - 316.049382716049 l_{2}^{2} + 158.024691358025 l_{2} l_{3} + 240527937.473864 \left(l_{1} + l_{2}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} + 4566272.56298038 \left(l_{1} + l_{2}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} + 44949.2455418381 \left(l_{1} + l_{2}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right) + 158.024691358025 \left(l_{1} + l_{2}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) + 60131984.3684659 \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{4} + 1522090.85432679 \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} + 22474.6227709191 \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} + \frac{1}{3}\right) \left(- 4.44444444444444 l_{1} + 8.88888888888889 l_{2} + 8.88888888888889 l_{3} + \left(- 320703916.631818 l_{1} + 160351958.315909 l_{2} + 160351958.315909 l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{4} + \left(- 10147272.3621786 l_{1} + 5073636.18108931 l_{2} + 5073636.18108931 l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} + \left(- 199774.424630392 l_{1} + 99887.2123151958 l_{2} + 99887.2123151958 l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} + 641407833.263636 \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(l_{1} - 4 l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} + 15220908.5432679 \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(l_{1} - 4 l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} + 199774.424630392 \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(l_{1} - 4 l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right) + 1053.49794238683 \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(l_{1} - 4 l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) + 1053.49794238683 \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right) + 1053.49794238683 \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right) + \left(99887.2123151958 l_{1} + 99887.2123151958 l_{2} + 99887.2123151958 l_{3} + 44949.2455418381\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} + \left(5073636.18108931 l_{1} + 5073636.18108931 l_{2} + 5073636.18108931 l_{3} + 2283136.28149019\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} + \left(160351958.315909 l_{1} + 160351958.315909 l_{2} + 160351958.315909 l_{3} + 72158381.2421591\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{4} + 2.0\right) + \sqrt{3} \left(- 4.44444444444444 l_{2} + 4.44444444444444 l_{3} + 160351958.315909 \left(- l_{2} + l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{4} + 5073636.18108931 \left(- l_{2} + l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} + 99887.2123151958 \left(- l_{2} + l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} - 641407833.263636 \left(l_{2} - l_{3}\right) \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} - 15220908.5432679 \left(l_{2} - l_{3}\right) \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} - 199774.424630392 \left(l_{2} - l_{3}\right) \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right) + \left(- 2 l_{1} + l_{2} + l_{3}\right)^{2} \left(1053.49794238683 l_{1} + 1053.49794238683 l_{2} + 1053.49794238683 l_{3} + 474.074074074074\right) + 1053.49794238683 \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right) - 2106.99588477366 \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)\right) \left(- 158.024691358025 l_{1}^{2} + 158.024691358025 l_{1} l_{2} + 158.024691358025 l_{1} l_{3} - 316.049382716049 l_{2}^{2} + 158.024691358025 l_{2} l_{3} + 240527937.473864 \left(l_{1} - 4 l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} + 4566272.56298038 \left(l_{1} - 4 l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} + 44949.2455418381 \left(l_{1} - 4 l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right) + 158.024691358025 \left(l_{1} - 4 l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) + 60131984.3684659 \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{4} + 1522090.85432679 \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} + 22474.6227709191 \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} + \frac{1}{3}\right) \left(- 4.44444444444444 l_{1} + 8.88888888888889 l_{2} + 8.88888888888889 l_{3} + 641407833.263636 \left(l_{1} + l_{2}\right) \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} + 15220908.5432679 \left(l_{1} + l_{2}\right) \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} + 199774.424630392 \left(l_{1} + l_{2}\right) \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right) + 1053.49794238683 \left(l_{1} + l_{2}\right) \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) + \left(- 320703916.631818 l_{1} + 160351958.315909 l_{2} + 160351958.315909 l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{4} + \left(- 10147272.3621786 l_{1} + 5073636.18108931 l_{2} + 5073636.18108931 l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} + \left(- 199774.424630392 l_{1} + 99887.2123151958 l_{2} + 99887.2123151958 l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} + 1053.49794238683 \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right) + 1053.49794238683 \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right) + \left(99887.2123151958 l_{1} + 99887.2123151958 l_{2} + 99887.2123151958 l_{3} + 44949.2455418381\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} + \left(5073636.18108931 l_{1} + 5073636.18108931 l_{2} + 5073636.18108931 l_{3} + 2283136.28149019\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} + \left(160351958.315909 l_{1} + 160351958.315909 l_{2} + 160351958.315909 l_{3} + 72158381.2421591\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{4} + 2.0\right) + \sqrt{3} \left(- 158.024691358025 l_{1}^{2} + 158.024691358025 l_{1} l_{2} + 158.024691358025 l_{1} l_{3} - 316.049382716049 l_{2}^{2} + 158.024691358025 l_{2} l_{3} + 240527937.473864 \left(l_{1} + l_{2}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} + 4566272.56298038 \left(l_{1} + l_{2}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} + 44949.2455418381 \left(l_{1} + l_{2}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right) + 158.024691358025 \left(l_{1} + l_{2}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) + 60131984.3684659 \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{4} + 1522090.85432679 \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} + 22474.6227709191 \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} + \frac{1}{3}\right) \left(- 4.44444444444444 l_{1} - 8.88888888888889 l_{2} + 160351958.315909 \left(- l_{2} + l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{4} + 5073636.18108931 \left(- l_{2} + l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} + 99887.2123151958 \left(- l_{2} + l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} - 641407833.263636 \left(l_{2} - l_{3}\right) \left(l_{1} - 4 l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} - 15220908.5432679 \left(l_{2} - l_{3}\right) \left(l_{1} - 4 l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} - 199774.424630392 \left(l_{2} - l_{3}\right) \left(l_{1} - 4 l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right) + 1053.49794238683 \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(l_{1} - 4 l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) + 1053.49794238683 \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right) + 1053.49794238683 \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right) - \left(99887.2123151958 l_{1} + 99887.2123151958 l_{2} + 99887.2123151958 l_{3} + 44949.2455418381\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} - \left(5073636.18108931 l_{1} + 5073636.18108931 l_{2} + 5073636.18108931 l_{3} + 2283136.28149019\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} - \left(160351958.315909 l_{1} + 160351958.315909 l_{2} + 160351958.315909 l_{3} + 72158381.2421591\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{4} - 2.0\right) \left(- 17.7777777777778 l_{1} - 4.44444444444444 l_{2} - 4.44444444444444 l_{3} + \left(- 320703916.631818 l_{1} + 160351958.315909 l_{2} + 160351958.315909 l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{4} + \left(- 10147272.3621786 l_{1} + 5073636.18108931 l_{2} + 5073636.18108931 l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} + \left(- 199774.424630392 l_{1} + 99887.2123151958 l_{2} + 99887.2123151958 l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} + 641407833.263636 \left(- 2 l_{1} + l_{2} + l_{3}\right)^{2} \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} + 15220908.5432679 \left(- 2 l_{1} + l_{2} + l_{3}\right)^{2} \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} + 199774.424630392 \left(- 2 l_{1} + l_{2} + l_{3}\right)^{2} \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right) + \left(- 2 l_{1} + l_{2} + l_{3}\right)^{2} \left(1053.49794238683 l_{1} + 1053.49794238683 l_{2} + 1053.49794238683 l_{3} + 474.074074074074\right) + 1053.49794238683 \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right) - 2106.99588477366 \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right) - \left(199774.424630392 l_{1} + 199774.424630392 l_{2} + 199774.424630392 l_{3} + 89898.4910836762\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} - \left(10147272.3621786 l_{1} + 10147272.3621786 l_{2} + 10147272.3621786 l_{3} + 4566272.56298038\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} - \left(320703916.631818 l_{1} + 320703916.631818 l_{2} + 320703916.631818 l_{3} + 144316762.484318\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{4} - 4.0\right) - \sqrt{3} \left(- 158.024691358025 l_{1}^{2} + 158.024691358025 l_{1} l_{2} + 158.024691358025 l_{1} l_{3} - 316.049382716049 l_{2}^{2} + 158.024691358025 l_{2} l_{3} + 240527937.473864 \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} + 4566272.56298038 \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} + 44949.2455418381 \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right) + 158.024691358025 \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) + 60131984.3684659 \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{4} + 1522090.85432679 \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} + 22474.6227709191 \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} + \frac{1}{3}\right) \left(- 4.44444444444444 l_{1} - 8.88888888888889 l_{2} + 160351958.315909 \left(- l_{2} + l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{4} + 5073636.18108931 \left(- l_{2} + l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} + 99887.2123151958 \left(- l_{2} + l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} - 641407833.263636 \left(l_{2} - l_{3}\right) \left(l_{1} - 4 l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} - 15220908.5432679 \left(l_{2} - l_{3}\right) \left(l_{1} - 4 l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} - 199774.424630392 \left(l_{2} - l_{3}\right) \left(l_{1} - 4 l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right) + 1053.49794238683 \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(l_{1} - 4 l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) + 1053.49794238683 \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right) + 1053.49794238683 \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right) - \left(99887.2123151958 l_{1} + 99887.2123151958 l_{2} + 99887.2123151958 l_{3} + 44949.2455418381\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} - \left(5073636.18108931 l_{1} + 5073636.18108931 l_{2} + 5073636.18108931 l_{3} + 2283136.28149019\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} - \left(160351958.315909 l_{1} + 160351958.315909 l_{2} + 160351958.315909 l_{3} + 72158381.2421591\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{4} - 2.0\right) \left(- 4.44444444444444 l_{1} + 8.88888888888889 l_{2} + 8.88888888888889 l_{3} + 641407833.263636 \left(l_{1} + l_{2}\right) \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} + 15220908.5432679 \left(l_{1} + l_{2}\right) \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} + 199774.424630392 \left(l_{1} + l_{2}\right) \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right) + 1053.49794238683 \left(l_{1} + l_{2}\right) \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) + \left(- 320703916.631818 l_{1} + 160351958.315909 l_{2} + 160351958.315909 l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{4} + \left(- 10147272.3621786 l_{1} + 5073636.18108931 l_{2} + 5073636.18108931 l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} + \left(- 199774.424630392 l_{1} + 99887.2123151958 l_{2} + 99887.2123151958 l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} + 1053.49794238683 \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right) + 1053.49794238683 \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right) + \left(99887.2123151958 l_{1} + 99887.2123151958 l_{2} + 99887.2123151958 l_{3} + 44949.2455418381\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} + \left(5073636.18108931 l_{1} + 5073636.18108931 l_{2} + 5073636.18108931 l_{3} + 2283136.28149019\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} + \left(160351958.315909 l_{1} + 160351958.315909 l_{2} + 160351958.315909 l_{3} + 72158381.2421591\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{4} + 2.0\right) + \sqrt{3} \left(- 158.024691358025 l_{1}^{2} + 158.024691358025 l_{1} l_{2} + 158.024691358025 l_{1} l_{3} - 316.049382716049 l_{2}^{2} + 158.024691358025 l_{2} l_{3} + 240527937.473864 \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} + 4566272.56298038 \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} + 44949.2455418381 \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right) + 158.024691358025 \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) + 60131984.3684659 \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{4} + 1522090.85432679 \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} + 22474.6227709191 \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} + \frac{1}{3}\right) \left(4.44444444444444 l_{1} + 8.88888888888889 l_{3} - 641407833.263636 \left(l_{1} + l_{2}\right) \left(l_{2} - l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} - 15220908.5432679 \left(l_{1} + l_{2}\right) \left(l_{2} - l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} - 199774.424630392 \left(l_{1} + l_{2}\right) \left(l_{2} - l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right) + 1053.49794238683 \left(l_{1} + l_{2}\right) \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) + 160351958.315909 \left(- l_{2} + l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{4} + 5073636.18108931 \left(- l_{2} + l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} + 99887.2123151958 \left(- l_{2} + l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} + 1053.49794238683 \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right) + 1053.49794238683 \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right) + \left(99887.2123151958 l_{1} + 99887.2123151958 l_{2} + 99887.2123151958 l_{3} + 44949.2455418381\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} + \left(5073636.18108931 l_{1} + 5073636.18108931 l_{2} + 5073636.18108931 l_{3} + 2283136.28149019\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} + \left(160351958.315909 l_{1} + 160351958.315909 l_{2} + 160351958.315909 l_{3} + 72158381.2421591\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{4} + 2.0\right) \left(- 4.44444444444444 l_{1} + 8.88888888888889 l_{2} + 8.88888888888889 l_{3} + \left(- 320703916.631818 l_{1} + 160351958.315909 l_{2} + 160351958.315909 l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{4} + \left(- 10147272.3621786 l_{1} + 5073636.18108931 l_{2} + 5073636.18108931 l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} + \left(- 199774.424630392 l_{1} + 99887.2123151958 l_{2} + 99887.2123151958 l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} + 641407833.263636 \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(l_{1} - 4 l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} + 15220908.5432679 \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(l_{1} - 4 l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} + 199774.424630392 \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(l_{1} - 4 l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right) + 1053.49794238683 \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(l_{1} - 4 l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) + 1053.49794238683 \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right) + 1053.49794238683 \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right) + \left(99887.2123151958 l_{1} + 99887.2123151958 l_{2} + 99887.2123151958 l_{3} + 44949.2455418381\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} + \left(5073636.18108931 l_{1} + 5073636.18108931 l_{2} + 5073636.18108931 l_{3} + 2283136.28149019\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} + \left(160351958.315909 l_{1} + 160351958.315909 l_{2} + 160351958.315909 l_{3} + 72158381.2421591\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{4} + 2.0\right) - \sqrt{3} \left(- 158.024691358025 l_{1}^{2} + 158.024691358025 l_{1} l_{2} + 158.024691358025 l_{1} l_{3} - 316.049382716049 l_{2}^{2} + 158.024691358025 l_{2} l_{3} + 240527937.473864 \left(l_{1} - 4 l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} + 4566272.56298038 \left(l_{1} - 4 l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} + 44949.2455418381 \left(l_{1} - 4 l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right) + 158.024691358025 \left(l_{1} - 4 l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) + 60131984.3684659 \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{4} + 1522090.85432679 \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} + 22474.6227709191 \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} + \frac{1}{3}\right) \left(4.44444444444444 l_{1} + 8.88888888888889 l_{3} - 641407833.263636 \left(l_{1} + l_{2}\right) \left(l_{2} - l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} - 15220908.5432679 \left(l_{1} + l_{2}\right) \left(l_{2} - l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} - 199774.424630392 \left(l_{1} + l_{2}\right) \left(l_{2} - l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right) + 1053.49794238683 \left(l_{1} + l_{2}\right) \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(l_{1} + l_{2} + l_{3} + 0.45\right) + 160351958.315909 \left(- l_{2} + l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{4} + 5073636.18108931 \left(- l_{2} + l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} + 99887.2123151958 \left(- l_{2} + l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} + 1053.49794238683 \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right) + 1053.49794238683 \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right) + \left(99887.2123151958 l_{1} + 99887.2123151958 l_{2} + 99887.2123151958 l_{3} + 44949.2455418381\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} + \left(5073636.18108931 l_{1} + 5073636.18108931 l_{2} + 5073636.18108931 l_{3} + 2283136.28149019\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} + \left(160351958.315909 l_{1} + 160351958.315909 l_{2} + 160351958.315909 l_{3} + 72158381.2421591\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{4} + 2.0\right) \left(- 17.7777777777778 l_{1} - 4.44444444444444 l_{2} - 4.44444444444444 l_{3} + \left(- 320703916.631818 l_{1} + 160351958.315909 l_{2} + 160351958.315909 l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{4} + \left(- 10147272.3621786 l_{1} + 5073636.18108931 l_{2} + 5073636.18108931 l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} + \left(- 199774.424630392 l_{1} + 99887.2123151958 l_{2} + 99887.2123151958 l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} + 641407833.263636 \left(- 2 l_{1} + l_{2} + l_{3}\right)^{2} \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} + 15220908.5432679 \left(- 2 l_{1} + l_{2} + l_{3}\right)^{2} \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} + 199774.424630392 \left(- 2 l_{1} + l_{2} + l_{3}\right)^{2} \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right) + \left(- 2 l_{1} + l_{2} + l_{3}\right)^{2} \left(1053.49794238683 l_{1} + 1053.49794238683 l_{2} + 1053.49794238683 l_{3} + 474.074074074074\right) + 1053.49794238683 \left(- 2 l_{1} + l_{2} + l_{3}\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right) - 2106.99588477366 \left(l_{1} + l_{2} + l_{3} + 0.45\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right) - \left(199774.424630392 l_{1} + 199774.424630392 l_{2} + 199774.424630392 l_{3} + 89898.4910836762\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{2} - \left(10147272.3621786 l_{1} + 10147272.3621786 l_{2} + 10147272.3621786 l_{3} + 4566272.56298038\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{3} - \left(320703916.631818 l_{1} + 320703916.631818 l_{2} + 320703916.631818 l_{3} + 144316762.484318\right) \left(- l_{1}^{2} + l_{1} l_{2} + l_{1} l_{3} - 2 l_{2}^{2} + l_{2} l_{3}\right)^{4} - 4.0\right)$

ヤコビ行列の時間微分を計算

```python
t = sy.Symbol("t")
l1_func = sy.Function("l1_func")
l2_func = sy.Function("l2_func")
l3_func = sy.Function("l3_func")

J_func = J.subs([
    (l1, l1_func(t)),
    (l2, l2_func(t)),
    (l3, l3_func(t))
])

J_func_dot = sy.diff(J_func, t)

J_func_dot
```

$\displaystyle \left[\begin{matrix}\left(- 320703916.631818 \operatorname{l_{1 func}}{\left(t \right)} + 160351958.315909 \operatorname{l_{2 func}}{\left(t \right)} + 160351958.315909 \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{3} \left(- 8 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 4 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 4 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 4 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 16 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 4 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 4 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 4 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) + \left(- 10147272.3621786 \operatorname{l_{1 func}}{\left(t \right)} + 5073636.18108931 \operatorname{l_{2 func}}{\left(t \right)} + 5073636.18108931 \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{2} \left(- 6 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 3 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 3 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 3 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 12 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 3 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 3 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 3 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) + \left(- 199774.424630392 \operatorname{l_{1 func}}{\left(t \right)} + 99887.2123151958 \operatorname{l_{2 func}}{\left(t \right)} + 99887.2123151958 \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- 4 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 2 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 2 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 2 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 8 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 2 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 2 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 2 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) + \left(- 2106.99588477366 \operatorname{l_{1 func}}{\left(t \right)} + 1053.49794238683 \operatorname{l_{2 func}}{\left(t \right)} + 1053.49794238683 \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- 2 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 4 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) + 641407833.263636 \left(- 2 \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)}\right)^{2} \left(\frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{3} + 15220908.5432679 \left(- 2 \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)}\right)^{2} \left(\frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{2} + 199774.424630392 \left(- 2 \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)}\right)^{2} \left(\frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right) + \left(- 2 \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)}\right)^{2} \left(1053.49794238683 \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 1053.49794238683 \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 1053.49794238683 \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) + 641407833.263636 \left(- 2 \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)}\right)^{2} \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} + 0.45\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{2} \left(- 6 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 3 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 3 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 3 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 12 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 3 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 3 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 3 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) + 15220908.5432679 \left(- 2 \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)}\right)^{2} \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} + 0.45\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- 4 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 2 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 2 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 2 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 8 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 2 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 2 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 2 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) + 199774.424630392 \left(- 2 \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)}\right)^{2} \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} + 0.45\right) \left(- 2 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 4 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) + 641407833.263636 \left(- 2 \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- 4 \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 2 \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 2 \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} + 0.45\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{3} + 15220908.5432679 \left(- 2 \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- 4 \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 2 \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 2 \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} + 0.45\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{2} + 199774.424630392 \left(- 2 \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- 4 \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 2 \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 2 \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} + 0.45\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right) + \left(- 2 \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- 4 \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 2 \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 2 \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(1053.49794238683 \operatorname{l_{1 func}}{\left(t \right)} + 1053.49794238683 \operatorname{l_{2 func}}{\left(t \right)} + 1053.49794238683 \operatorname{l_{3 func}}{\left(t \right)} + 474.074074074074\right) + \left(- 320703916.631818 \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 160351958.315909 \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 160351958.315909 \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{4} + \left(- 10147272.3621786 \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 5073636.18108931 \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 5073636.18108931 \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{3} + \left(- 199774.424630392 \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 99887.2123151958 \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 99887.2123151958 \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{2} + \left(- 2106.99588477366 \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 2106.99588477366 \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} - 2106.99588477366 \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right) + \left(- 2106.99588477366 \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 1053.49794238683 \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 1053.49794238683 \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right) - \left(199774.424630392 \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 199774.424630392 \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 199774.424630392 \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{2} - \left(10147272.3621786 \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 10147272.3621786 \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 10147272.3621786 \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{3} - \left(320703916.631818 \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 320703916.631818 \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 320703916.631818 \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{4} + \left(- 2106.99588477366 \operatorname{l_{1 func}}{\left(t \right)} - 2106.99588477366 \operatorname{l_{2 func}}{\left(t \right)} - 2106.99588477366 \operatorname{l_{3 func}}{\left(t \right)} - 948.148148148148\right) \left(- 2 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 4 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) - \left(199774.424630392 \operatorname{l_{1 func}}{\left(t \right)} + 199774.424630392 \operatorname{l_{2 func}}{\left(t \right)} + 199774.424630392 \operatorname{l_{3 func}}{\left(t \right)} + 89898.4910836762\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- 4 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 2 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 2 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 2 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 8 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 2 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 2 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 2 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) - \left(10147272.3621786 \operatorname{l_{1 func}}{\left(t \right)} + 10147272.3621786 \operatorname{l_{2 func}}{\left(t \right)} + 10147272.3621786 \operatorname{l_{3 func}}{\left(t \right)} + 4566272.56298038\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{2} \left(- 6 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 3 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 3 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 3 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 12 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 3 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 3 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 3 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) - \left(320703916.631818 \operatorname{l_{1 func}}{\left(t \right)} + 320703916.631818 \operatorname{l_{2 func}}{\left(t \right)} + 320703916.631818 \operatorname{l_{3 func}}{\left(t \right)} + 144316762.484318\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{3} \left(- 8 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 4 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 4 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 4 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 16 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 4 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 4 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 4 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) - 17.7777777777778 \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 4.44444444444444 \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} - 4.44444444444444 \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} & \left(- 320703916.631818 \operatorname{l_{1 func}}{\left(t \right)} + 160351958.315909 \operatorname{l_{2 func}}{\left(t \right)} + 160351958.315909 \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{3} \left(- 8 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 4 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 4 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 4 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 16 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 4 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 4 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 4 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) + \left(- 10147272.3621786 \operatorname{l_{1 func}}{\left(t \right)} + 5073636.18108931 \operatorname{l_{2 func}}{\left(t \right)} + 5073636.18108931 \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{2} \left(- 6 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 3 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 3 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 3 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 12 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 3 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 3 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 3 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) + \left(- 199774.424630392 \operatorname{l_{1 func}}{\left(t \right)} + 99887.2123151958 \operatorname{l_{2 func}}{\left(t \right)} + 99887.2123151958 \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- 4 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 2 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 2 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 2 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 8 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 2 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 2 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 2 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) + \left(- 2106.99588477366 \operatorname{l_{1 func}}{\left(t \right)} + 1053.49794238683 \operatorname{l_{2 func}}{\left(t \right)} + 1053.49794238683 \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- 2 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 4 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) + 641407833.263636 \left(- 2 \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} - 4 \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{3} + 15220908.5432679 \left(- 2 \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} - 4 \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{2} + 641407833.263636 \left(- 2 \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} - 4 \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} + 0.45\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{2} \left(- 6 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 3 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 3 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 3 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 12 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 3 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 3 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 3 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) + 15220908.5432679 \left(- 2 \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} - 4 \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} + 0.45\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- 4 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 2 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 2 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 2 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 8 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 2 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 2 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 2 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) + \left(- 2 \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)}\right) \left(1053.49794238683 \operatorname{l_{1 func}}{\left(t \right)} - 4213.99176954732 \operatorname{l_{2 func}}{\left(t \right)} + 1053.49794238683 \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) + \left(- 2 \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)}\right) \left(199774.424630392 \operatorname{l_{1 func}}{\left(t \right)} - 799097.698521567 \operatorname{l_{2 func}}{\left(t \right)} + 199774.424630392 \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right) + \left(- 2 \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)}\right) \left(199774.424630392 \operatorname{l_{1 func}}{\left(t \right)} - 799097.698521567 \operatorname{l_{2 func}}{\left(t \right)} + 199774.424630392 \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} + 0.45\right) \left(- 2 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 4 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) + 641407833.263636 \left(- 2 \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 4 \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} + 0.45\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{3} + 15220908.5432679 \left(- 2 \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 4 \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} + 0.45\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{2} + \left(- 2 \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)}\right) \left(1053.49794238683 \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 4213.99176954732 \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 1053.49794238683 \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} + 0.45\right) + \left(- 2 \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)}\right) \left(199774.424630392 \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 799097.698521567 \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 199774.424630392 \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} + 0.45\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right) + 641407833.263636 \left(\operatorname{l_{1 func}}{\left(t \right)} - 4 \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- 2 \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} + 0.45\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{3} + 15220908.5432679 \left(\operatorname{l_{1 func}}{\left(t \right)} - 4 \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- 2 \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} + 0.45\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{2} + \left(1053.49794238683 \operatorname{l_{1 func}}{\left(t \right)} - 4213.99176954732 \operatorname{l_{2 func}}{\left(t \right)} + 1053.49794238683 \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- 2 \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} + 0.45\right) + \left(199774.424630392 \operatorname{l_{1 func}}{\left(t \right)} - 799097.698521567 \operatorname{l_{2 func}}{\left(t \right)} + 199774.424630392 \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- 2 \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} + 0.45\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right) + \left(- 320703916.631818 \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 160351958.315909 \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 160351958.315909 \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{4} + \left(- 10147272.3621786 \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 5073636.18108931 \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 5073636.18108931 \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{3} + \left(- 199774.424630392 \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 99887.2123151958 \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 99887.2123151958 \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{2} + \left(- 2106.99588477366 \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 1053.49794238683 \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 1053.49794238683 \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right) + \left(1053.49794238683 \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 1053.49794238683 \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 1053.49794238683 \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right) + \left(99887.2123151958 \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 99887.2123151958 \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 99887.2123151958 \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{2} + \left(5073636.18108931 \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 5073636.18108931 \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 5073636.18108931 \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{3} + \left(160351958.315909 \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 160351958.315909 \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 160351958.315909 \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{4} + \left(1053.49794238683 \operatorname{l_{1 func}}{\left(t \right)} + 1053.49794238683 \operatorname{l_{2 func}}{\left(t \right)} + 1053.49794238683 \operatorname{l_{3 func}}{\left(t \right)} + 474.074074074074\right) \left(- 2 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 4 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) + \left(99887.2123151958 \operatorname{l_{1 func}}{\left(t \right)} + 99887.2123151958 \operatorname{l_{2 func}}{\left(t \right)} + 99887.2123151958 \operatorname{l_{3 func}}{\left(t \right)} + 44949.2455418381\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- 4 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 2 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 2 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 2 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 8 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 2 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 2 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 2 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) + \left(5073636.18108931 \operatorname{l_{1 func}}{\left(t \right)} + 5073636.18108931 \operatorname{l_{2 func}}{\left(t \right)} + 5073636.18108931 \operatorname{l_{3 func}}{\left(t \right)} + 2283136.28149019\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{2} \left(- 6 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 3 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 3 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 3 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 12 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 3 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 3 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 3 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) + \left(160351958.315909 \operatorname{l_{1 func}}{\left(t \right)} + 160351958.315909 \operatorname{l_{2 func}}{\left(t \right)} + 160351958.315909 \operatorname{l_{3 func}}{\left(t \right)} + 72158381.2421591\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{3} \left(- 8 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 4 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 4 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 4 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 16 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 4 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 4 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 4 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) - 4.44444444444444 \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 8.88888888888889 \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 8.88888888888889 \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} & 641407833.263636 \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)}\right) \left(- 2 \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{3} + 15220908.5432679 \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)}\right) \left(- 2 \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{2} + 641407833.263636 \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)}\right) \left(- 2 \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} + 0.45\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{2} \left(- 6 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 3 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 3 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 3 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 12 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 3 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 3 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 3 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) + 15220908.5432679 \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)}\right) \left(- 2 \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} + 0.45\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- 4 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 2 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 2 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 2 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 8 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 2 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 2 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 2 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) + 641407833.263636 \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)}\right) \left(- 2 \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} + 0.45\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{3} + 15220908.5432679 \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)}\right) \left(- 2 \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} + 0.45\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{2} + \left(1053.49794238683 \operatorname{l_{1 func}}{\left(t \right)} + 1053.49794238683 \operatorname{l_{2 func}}{\left(t \right)}\right) \left(- 2 \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) + \left(1053.49794238683 \operatorname{l_{1 func}}{\left(t \right)} + 1053.49794238683 \operatorname{l_{2 func}}{\left(t \right)}\right) \left(- 2 \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} + 0.45\right) + \left(199774.424630392 \operatorname{l_{1 func}}{\left(t \right)} + 199774.424630392 \operatorname{l_{2 func}}{\left(t \right)}\right) \left(- 2 \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right) + \left(199774.424630392 \operatorname{l_{1 func}}{\left(t \right)} + 199774.424630392 \operatorname{l_{2 func}}{\left(t \right)}\right) \left(- 2 \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} + 0.45\right) \left(- 2 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 4 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) + \left(199774.424630392 \operatorname{l_{1 func}}{\left(t \right)} + 199774.424630392 \operatorname{l_{2 func}}{\left(t \right)}\right) \left(- 2 \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} + 0.45\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right) + 641407833.263636 \left(\frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) \left(- 2 \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} + 0.45\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{3} + 15220908.5432679 \left(\frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) \left(- 2 \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} + 0.45\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{2} + \left(1053.49794238683 \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 1053.49794238683 \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) \left(- 2 \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} + 0.45\right) + \left(199774.424630392 \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 199774.424630392 \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) \left(- 2 \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} + 0.45\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right) + \left(- 320703916.631818 \operatorname{l_{1 func}}{\left(t \right)} + 160351958.315909 \operatorname{l_{2 func}}{\left(t \right)} + 160351958.315909 \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{3} \left(- 8 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 4 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 4 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 4 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 16 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 4 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 4 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 4 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) + \left(- 10147272.3621786 \operatorname{l_{1 func}}{\left(t \right)} + 5073636.18108931 \operatorname{l_{2 func}}{\left(t \right)} + 5073636.18108931 \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{2} \left(- 6 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 3 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 3 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 3 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 12 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 3 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 3 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 3 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) + \left(- 199774.424630392 \operatorname{l_{1 func}}{\left(t \right)} + 99887.2123151958 \operatorname{l_{2 func}}{\left(t \right)} + 99887.2123151958 \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- 4 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 2 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 2 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 2 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 8 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 2 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 2 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 2 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) + \left(- 2106.99588477366 \operatorname{l_{1 func}}{\left(t \right)} + 1053.49794238683 \operatorname{l_{2 func}}{\left(t \right)} + 1053.49794238683 \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- 2 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 4 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) + \left(- 320703916.631818 \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 160351958.315909 \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 160351958.315909 \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{4} + \left(- 10147272.3621786 \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 5073636.18108931 \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 5073636.18108931 \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{3} + \left(- 199774.424630392 \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 99887.2123151958 \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 99887.2123151958 \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{2} + \left(- 2106.99588477366 \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 1053.49794238683 \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 1053.49794238683 \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right) + \left(1053.49794238683 \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 1053.49794238683 \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 1053.49794238683 \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right) + \left(99887.2123151958 \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 99887.2123151958 \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 99887.2123151958 \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{2} + \left(5073636.18108931 \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 5073636.18108931 \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 5073636.18108931 \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{3} + \left(160351958.315909 \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 160351958.315909 \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 160351958.315909 \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{4} + \left(1053.49794238683 \operatorname{l_{1 func}}{\left(t \right)} + 1053.49794238683 \operatorname{l_{2 func}}{\left(t \right)} + 1053.49794238683 \operatorname{l_{3 func}}{\left(t \right)} + 474.074074074074\right) \left(- 2 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 4 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) + \left(99887.2123151958 \operatorname{l_{1 func}}{\left(t \right)} + 99887.2123151958 \operatorname{l_{2 func}}{\left(t \right)} + 99887.2123151958 \operatorname{l_{3 func}}{\left(t \right)} + 44949.2455418381\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- 4 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 2 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 2 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 2 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 8 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 2 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 2 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 2 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) + \left(5073636.18108931 \operatorname{l_{1 func}}{\left(t \right)} + 5073636.18108931 \operatorname{l_{2 func}}{\left(t \right)} + 5073636.18108931 \operatorname{l_{3 func}}{\left(t \right)} + 2283136.28149019\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{2} \left(- 6 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 3 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 3 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 3 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 12 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 3 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 3 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 3 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) + \left(160351958.315909 \operatorname{l_{1 func}}{\left(t \right)} + 160351958.315909 \operatorname{l_{2 func}}{\left(t \right)} + 160351958.315909 \operatorname{l_{3 func}}{\left(t \right)} + 72158381.2421591\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{3} \left(- 8 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 4 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 4 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 4 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 16 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 4 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 4 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 4 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) - 4.44444444444444 \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 8.88888888888889 \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 8.88888888888889 \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\\\sqrt{3} \left(\left(- 199774.424630392 \operatorname{l_{2 func}}{\left(t \right)} + 199774.424630392 \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- 2 \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right) + \left(- 199774.424630392 \operatorname{l_{2 func}}{\left(t \right)} + 199774.424630392 \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- 2 \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} + 0.45\right) \left(- 2 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 4 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) + \left(- 199774.424630392 \operatorname{l_{2 func}}{\left(t \right)} + 199774.424630392 \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- 2 \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} + 0.45\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right) + 160351958.315909 \left(- \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{3} \left(- 8 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 4 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 4 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 4 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 16 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 4 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 4 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 4 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) + 5073636.18108931 \left(- \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{2} \left(- 6 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 3 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 3 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 3 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 12 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 3 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 3 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 3 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) + 99887.2123151958 \left(- \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- 4 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 2 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 2 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 2 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 8 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 2 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 2 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 2 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) - 641407833.263636 \left(\operatorname{l_{2 func}}{\left(t \right)} - \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- 2 \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{3} - 15220908.5432679 \left(\operatorname{l_{2 func}}{\left(t \right)} - \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- 2 \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{2} - 641407833.263636 \left(\operatorname{l_{2 func}}{\left(t \right)} - \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- 2 \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} + 0.45\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{2} \left(- 6 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 3 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 3 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 3 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 12 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 3 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 3 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 3 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) - 15220908.5432679 \left(\operatorname{l_{2 func}}{\left(t \right)} - \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- 2 \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} + 0.45\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- 4 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 2 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 2 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 2 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 8 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 2 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 2 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 2 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) - 641407833.263636 \left(\operatorname{l_{2 func}}{\left(t \right)} - \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- 2 \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} + 0.45\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{3} - 15220908.5432679 \left(\operatorname{l_{2 func}}{\left(t \right)} - \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- 2 \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} + 0.45\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{2} + \left(- 199774.424630392 \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 199774.424630392 \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- 2 \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} + 0.45\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right) + 160351958.315909 \left(- \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{4} + 5073636.18108931 \left(- \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{3} + 99887.2123151958 \left(- \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{2} - 641407833.263636 \left(\frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} - \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- 2 \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} + 0.45\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{3} - 15220908.5432679 \left(\frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} - \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- 2 \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} + 0.45\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{2} + \left(- 2106.99588477366 \operatorname{l_{1 func}}{\left(t \right)} + 1053.49794238683 \operatorname{l_{2 func}}{\left(t \right)} + 1053.49794238683 \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- 2 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 4 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) + \left(- 2 \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)}\right)^{2} \left(1053.49794238683 \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 1053.49794238683 \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 1053.49794238683 \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) + \left(- 2 \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- 4 \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 2 \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 2 \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(1053.49794238683 \operatorname{l_{1 func}}{\left(t \right)} + 1053.49794238683 \operatorname{l_{2 func}}{\left(t \right)} + 1053.49794238683 \operatorname{l_{3 func}}{\left(t \right)} + 474.074074074074\right) + \left(- 2106.99588477366 \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 2106.99588477366 \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} - 2106.99588477366 \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right) + \left(- 2106.99588477366 \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 1053.49794238683 \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 1053.49794238683 \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right) + \left(- 2106.99588477366 \operatorname{l_{1 func}}{\left(t \right)} - 2106.99588477366 \operatorname{l_{2 func}}{\left(t \right)} - 2106.99588477366 \operatorname{l_{3 func}}{\left(t \right)} - 948.148148148148\right) \left(- 2 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 4 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) - 4.44444444444444 \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 4.44444444444444 \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) & \sqrt{3} \left(\left(- 199774.424630392 \operatorname{l_{2 func}}{\left(t \right)} + 199774.424630392 \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} - 4 \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right) + \left(- 199774.424630392 \operatorname{l_{2 func}}{\left(t \right)} + 199774.424630392 \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} - 4 \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} + 0.45\right) \left(- 2 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 4 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) + \left(- 199774.424630392 \operatorname{l_{2 func}}{\left(t \right)} + 199774.424630392 \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 4 \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} + 0.45\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right) + 160351958.315909 \left(- \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{3} \left(- 8 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 4 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 4 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 4 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 16 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 4 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 4 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 4 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) + 5073636.18108931 \left(- \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{2} \left(- 6 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 3 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 3 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 3 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 12 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 3 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 3 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 3 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) + 99887.2123151958 \left(- \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- 4 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 2 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 2 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 2 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 8 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 2 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 2 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 2 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) - 641407833.263636 \left(\operatorname{l_{2 func}}{\left(t \right)} - \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} - 4 \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{3} - 15220908.5432679 \left(\operatorname{l_{2 func}}{\left(t \right)} - \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} - 4 \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{2} - 641407833.263636 \left(\operatorname{l_{2 func}}{\left(t \right)} - \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} - 4 \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} + 0.45\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{2} \left(- 6 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 3 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 3 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 3 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 12 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 3 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 3 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 3 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) - 15220908.5432679 \left(\operatorname{l_{2 func}}{\left(t \right)} - \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} - 4 \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} + 0.45\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- 4 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 2 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 2 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 2 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 8 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 2 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 2 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 2 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) - 641407833.263636 \left(\operatorname{l_{2 func}}{\left(t \right)} - \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 4 \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} + 0.45\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{3} - 15220908.5432679 \left(\operatorname{l_{2 func}}{\left(t \right)} - \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 4 \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} + 0.45\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{2} + \left(- 199774.424630392 \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 199774.424630392 \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} - 4 \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} + 0.45\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right) + 160351958.315909 \left(- \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{4} + 5073636.18108931 \left(- \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{3} + 99887.2123151958 \left(- \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{2} - 641407833.263636 \left(\frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} - \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} - 4 \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} + 0.45\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{3} - 15220908.5432679 \left(\frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} - \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} - 4 \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} + 0.45\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{2} + \left(- 2106.99588477366 \operatorname{l_{1 func}}{\left(t \right)} + 1053.49794238683 \operatorname{l_{2 func}}{\left(t \right)} + 1053.49794238683 \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- 2 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 4 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) + \left(- 2 \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)}\right) \left(1053.49794238683 \operatorname{l_{1 func}}{\left(t \right)} - 4213.99176954732 \operatorname{l_{2 func}}{\left(t \right)} + 1053.49794238683 \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) + \left(- 2 \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)}\right) \left(1053.49794238683 \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 4213.99176954732 \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 1053.49794238683 \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} + 0.45\right) + \left(1053.49794238683 \operatorname{l_{1 func}}{\left(t \right)} - 4213.99176954732 \operatorname{l_{2 func}}{\left(t \right)} + 1053.49794238683 \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- 2 \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} + 0.45\right) + \left(- 2106.99588477366 \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 1053.49794238683 \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 1053.49794238683 \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right) + \left(1053.49794238683 \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 1053.49794238683 \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 1053.49794238683 \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right) - \left(99887.2123151958 \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 99887.2123151958 \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 99887.2123151958 \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{2} - \left(5073636.18108931 \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 5073636.18108931 \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 5073636.18108931 \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{3} - \left(160351958.315909 \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 160351958.315909 \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 160351958.315909 \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{4} + \left(1053.49794238683 \operatorname{l_{1 func}}{\left(t \right)} + 1053.49794238683 \operatorname{l_{2 func}}{\left(t \right)} + 1053.49794238683 \operatorname{l_{3 func}}{\left(t \right)} + 474.074074074074\right) \left(- 2 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 4 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) - \left(99887.2123151958 \operatorname{l_{1 func}}{\left(t \right)} + 99887.2123151958 \operatorname{l_{2 func}}{\left(t \right)} + 99887.2123151958 \operatorname{l_{3 func}}{\left(t \right)} + 44949.2455418381\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- 4 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 2 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 2 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 2 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 8 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 2 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 2 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 2 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) - \left(5073636.18108931 \operatorname{l_{1 func}}{\left(t \right)} + 5073636.18108931 \operatorname{l_{2 func}}{\left(t \right)} + 5073636.18108931 \operatorname{l_{3 func}}{\left(t \right)} + 2283136.28149019\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{2} \left(- 6 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 3 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 3 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 3 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 12 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 3 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 3 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 3 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) - \left(160351958.315909 \operatorname{l_{1 func}}{\left(t \right)} + 160351958.315909 \operatorname{l_{2 func}}{\left(t \right)} + 160351958.315909 \operatorname{l_{3 func}}{\left(t \right)} + 72158381.2421591\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{3} \left(- 8 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 4 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 4 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 4 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 16 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 4 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 4 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 4 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) - 4.44444444444444 \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 8.88888888888889 \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) & \sqrt{3} \left(\left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)}\right) \left(- 199774.424630392 \operatorname{l_{2 func}}{\left(t \right)} + 199774.424630392 \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right) + \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)}\right) \left(- 199774.424630392 \operatorname{l_{2 func}}{\left(t \right)} + 199774.424630392 \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} + 0.45\right) \left(- 2 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 4 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) - 641407833.263636 \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)}\right) \left(\operatorname{l_{2 func}}{\left(t \right)} - \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{3} - 15220908.5432679 \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)}\right) \left(\operatorname{l_{2 func}}{\left(t \right)} - \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{2} - 641407833.263636 \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)}\right) \left(\operatorname{l_{2 func}}{\left(t \right)} - \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} + 0.45\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{2} \left(- 6 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 3 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 3 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 3 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 12 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 3 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 3 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 3 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) - 15220908.5432679 \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)}\right) \left(\operatorname{l_{2 func}}{\left(t \right)} - \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} + 0.45\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- 4 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 2 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 2 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 2 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 8 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 2 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 2 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 2 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) + \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)}\right) \left(- 199774.424630392 \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 199774.424630392 \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} + 0.45\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right) - 641407833.263636 \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)}\right) \left(\frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} - \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} + 0.45\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{3} - 15220908.5432679 \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)}\right) \left(\frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} - \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} + 0.45\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{2} + \left(1053.49794238683 \operatorname{l_{1 func}}{\left(t \right)} + 1053.49794238683 \operatorname{l_{2 func}}{\left(t \right)}\right) \left(- 2 \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) + \left(1053.49794238683 \operatorname{l_{1 func}}{\left(t \right)} + 1053.49794238683 \operatorname{l_{2 func}}{\left(t \right)}\right) \left(- 2 \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} + 0.45\right) + \left(- 199774.424630392 \operatorname{l_{2 func}}{\left(t \right)} + 199774.424630392 \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} + 0.45\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right) + 160351958.315909 \left(- \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{3} \left(- 8 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 4 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 4 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 4 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 16 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 4 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 4 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 4 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) + 5073636.18108931 \left(- \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{2} \left(- 6 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 3 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 3 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 3 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 12 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 3 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 3 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 3 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) + 99887.2123151958 \left(- \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- 4 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 2 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 2 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 2 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 8 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 2 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 2 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 2 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) - 641407833.263636 \left(\operatorname{l_{2 func}}{\left(t \right)} - \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} + 0.45\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{3} - 15220908.5432679 \left(\operatorname{l_{2 func}}{\left(t \right)} - \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} + 0.45\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{2} + \left(1053.49794238683 \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 1053.49794238683 \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) \left(- 2 \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} + 0.45\right) + 160351958.315909 \left(- \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{4} + 5073636.18108931 \left(- \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{3} + 99887.2123151958 \left(- \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{2} + \left(- 2106.99588477366 \operatorname{l_{1 func}}{\left(t \right)} + 1053.49794238683 \operatorname{l_{2 func}}{\left(t \right)} + 1053.49794238683 \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- 2 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 4 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) + \left(- 2106.99588477366 \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 1053.49794238683 \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 1053.49794238683 \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right) + \left(1053.49794238683 \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 1053.49794238683 \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 1053.49794238683 \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right) + \left(99887.2123151958 \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 99887.2123151958 \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 99887.2123151958 \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{2} + \left(5073636.18108931 \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 5073636.18108931 \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 5073636.18108931 \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{3} + \left(160351958.315909 \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 160351958.315909 \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 160351958.315909 \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{4} + \left(1053.49794238683 \operatorname{l_{1 func}}{\left(t \right)} + 1053.49794238683 \operatorname{l_{2 func}}{\left(t \right)} + 1053.49794238683 \operatorname{l_{3 func}}{\left(t \right)} + 474.074074074074\right) \left(- 2 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 4 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) + \left(99887.2123151958 \operatorname{l_{1 func}}{\left(t \right)} + 99887.2123151958 \operatorname{l_{2 func}}{\left(t \right)} + 99887.2123151958 \operatorname{l_{3 func}}{\left(t \right)} + 44949.2455418381\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- 4 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 2 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 2 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 2 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 8 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 2 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 2 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 2 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) + \left(5073636.18108931 \operatorname{l_{1 func}}{\left(t \right)} + 5073636.18108931 \operatorname{l_{2 func}}{\left(t \right)} + 5073636.18108931 \operatorname{l_{3 func}}{\left(t \right)} + 2283136.28149019\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{2} \left(- 6 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 3 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 3 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 3 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 12 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 3 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 3 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 3 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) + \left(160351958.315909 \operatorname{l_{1 func}}{\left(t \right)} + 160351958.315909 \operatorname{l_{2 func}}{\left(t \right)} + 160351958.315909 \operatorname{l_{3 func}}{\left(t \right)} + 72158381.2421591\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{3} \left(- 8 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 4 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 4 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 4 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 16 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 4 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 4 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 4 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) + 4.44444444444444 \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 8.88888888888889 \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right)\\\left(- 89898.4910836763 \operatorname{l_{1 func}}{\left(t \right)} + 44949.2455418381 \operatorname{l_{2 func}}{\left(t \right)} + 44949.2455418381 \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right) + \left(- 89898.4910836763 \operatorname{l_{1 func}}{\left(t \right)} + 44949.2455418381 \operatorname{l_{2 func}}{\left(t \right)} + 44949.2455418381 \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} + 0.45\right) \left(- 2 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 4 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) + \left(- 316.049382716049 \operatorname{l_{1 func}}{\left(t \right)} + 158.024691358025 \operatorname{l_{2 func}}{\left(t \right)} + 158.024691358025 \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) + 240527937.473864 \left(- 2 \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{3} + 4566272.56298038 \left(- 2 \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{2} + 240527937.473864 \left(- 2 \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} + 0.45\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{2} \left(- 6 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 3 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 3 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 3 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 12 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 3 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 3 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 3 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) + 4566272.56298038 \left(- 2 \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} + 0.45\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- 4 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 2 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 2 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 2 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 8 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 2 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 2 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 2 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) + \left(- 89898.4910836763 \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 44949.2455418381 \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 44949.2455418381 \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} + 0.45\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right) + \left(- 316.049382716049 \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 158.024691358025 \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 158.024691358025 \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} + 0.45\right) + 240527937.473864 \left(- 2 \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} + 0.45\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{3} + 4566272.56298038 \left(- 2 \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} + 0.45\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{2} + 60131984.3684659 \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{3} \left(- 8 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 4 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 4 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 4 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 16 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 4 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 4 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 4 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) + 1522090.85432679 \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{2} \left(- 6 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 3 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 3 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 3 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 12 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 3 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 3 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 3 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) + 22474.6227709191 \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- 4 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 2 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 2 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 2 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 8 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 2 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 2 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 2 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) - 316.049382716049 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 158.024691358025 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 158.024691358025 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 158.024691358025 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 632.098765432099 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 158.024691358025 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 158.024691358025 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 158.024691358025 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} & 240527937.473864 \left(\operatorname{l_{1 func}}{\left(t \right)} - 4 \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{3} + 4566272.56298038 \left(\operatorname{l_{1 func}}{\left(t \right)} - 4 \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{2} + 240527937.473864 \left(\operatorname{l_{1 func}}{\left(t \right)} - 4 \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} + 0.45\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{2} \left(- 6 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 3 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 3 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 3 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 12 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 3 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 3 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 3 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) + 4566272.56298038 \left(\operatorname{l_{1 func}}{\left(t \right)} - 4 \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} + 0.45\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- 4 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 2 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 2 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 2 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 8 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 2 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 2 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 2 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) + \left(158.024691358025 \operatorname{l_{1 func}}{\left(t \right)} - 632.098765432099 \operatorname{l_{2 func}}{\left(t \right)} + 158.024691358025 \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) + \left(44949.2455418381 \operatorname{l_{1 func}}{\left(t \right)} - 179796.982167353 \operatorname{l_{2 func}}{\left(t \right)} + 44949.2455418381 \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right) + \left(44949.2455418381 \operatorname{l_{1 func}}{\left(t \right)} - 179796.982167353 \operatorname{l_{2 func}}{\left(t \right)} + 44949.2455418381 \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} + 0.45\right) \left(- 2 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 4 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) + 240527937.473864 \left(\frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 4 \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} + 0.45\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{3} + 4566272.56298038 \left(\frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 4 \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} + 0.45\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{2} + \left(158.024691358025 \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 632.098765432099 \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 158.024691358025 \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} + 0.45\right) + \left(44949.2455418381 \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 179796.982167353 \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 44949.2455418381 \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} + 0.45\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right) + 60131984.3684659 \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{3} \left(- 8 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 4 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 4 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 4 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 16 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 4 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 4 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 4 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) + 1522090.85432679 \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{2} \left(- 6 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 3 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 3 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 3 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 12 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 3 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 3 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 3 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) + 22474.6227709191 \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- 4 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 2 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 2 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 2 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 8 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 2 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 2 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 2 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) - 316.049382716049 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 158.024691358025 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 158.024691358025 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 158.024691358025 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 632.098765432099 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 158.024691358025 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 158.024691358025 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 158.024691358025 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} & 240527937.473864 \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)}\right) \left(\frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{3} + 4566272.56298038 \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)}\right) \left(\frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{2} + 240527937.473864 \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} + 0.45\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{2} \left(- 6 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 3 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 3 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 3 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 12 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 3 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 3 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 3 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) + 4566272.56298038 \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} + 0.45\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- 4 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 2 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 2 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 2 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 8 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 2 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 2 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 2 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) + \left(158.024691358025 \operatorname{l_{1 func}}{\left(t \right)} + 158.024691358025 \operatorname{l_{2 func}}{\left(t \right)}\right) \left(\frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) + \left(44949.2455418381 \operatorname{l_{1 func}}{\left(t \right)} + 44949.2455418381 \operatorname{l_{2 func}}{\left(t \right)}\right) \left(\frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right) + \left(44949.2455418381 \operatorname{l_{1 func}}{\left(t \right)} + 44949.2455418381 \operatorname{l_{2 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} + 0.45\right) \left(- 2 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 4 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) + 240527937.473864 \left(\frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} + 0.45\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{3} + 4566272.56298038 \left(\frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} + 0.45\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{2} + \left(158.024691358025 \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 158.024691358025 \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} + 0.45\right) + \left(44949.2455418381 \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 44949.2455418381 \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) \left(\operatorname{l_{1 func}}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{3 func}}{\left(t \right)} + 0.45\right) \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right) + 60131984.3684659 \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{3} \left(- 8 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 4 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 4 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 4 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 16 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 4 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 4 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 4 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) + 1522090.85432679 \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right)^{2} \left(- 6 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 3 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 3 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 3 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 12 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 3 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 3 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 3 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) + 22474.6227709191 \left(- \operatorname{l_{1 func}}^{2}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{2 func}}{\left(t \right)} + \operatorname{l_{1 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)} - 2 \operatorname{l_{2 func}}^{2}{\left(t \right)} + \operatorname{l_{2 func}}{\left(t \right)} \operatorname{l_{3 func}}{\left(t \right)}\right) \left(- 4 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 2 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 2 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 2 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 8 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 2 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 2 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 2 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\right) - 316.049382716049 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 158.024691358025 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 158.024691358025 \operatorname{l_{1 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 158.024691358025 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} - 632.098765432099 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)} + 158.024691358025 \operatorname{l_{2 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{3 func}}{\left(t \right)} + 158.024691358025 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{1 func}}{\left(t \right)} + 158.024691358025 \operatorname{l_{3 func}}{\left(t \right)} \frac{d}{d t} \operatorname{l_{2 func}}{\left(t \right)}\end{matrix}\right]$

```python
#print(J_func_dot)
```

誤差関数の絶対値のヤコビ行列とヘッセ行列を計算

```python
xd, yd, zd = sy.symbols("xd, yd, zd")

e = sy.sqrt((xd - X[0,0])**2 + (yd - X[1,0])**2 + (zd - X[2,0])**2)

Je = sy.Matrix([
    [sy.diff(e, l1)],
    [sy.diff(e, l2)],
    [sy.diff(e, l3)],
])
#Je.simplify()
```

```python
#print(Je)
```

```python
H = sy.matrices.dense.hessian(e, L)
#H.simplify()
#print(H)
```