"""Check (ii) of 08-ilang-propagation/02-grip-weight (v3).

Ring of three oscillator cells. The total contract C = H + mu F(q_0) is compressed
to the M lowest levels of 1/2(p^2 + q^2) in every cell, C_M = Pi C Pi.
 - (G2) grip F = F0 + F1 q + F2 q^2: lowest eigenvalue of C_M (with and without the
   body) for increasing M against the exact uncompressed value (2.6).
 - (G) grip F = F0 + theta f, f = sin q + b (1 - cos q) (smooth, bounded derivatives):
   (a) the lowest eigenvalue of C_M at several theta, for increasing M, against an
       independent reference for the uncompressed contract: a sinc (Colbert-Miller)
       position grid in all three cells, on two grids;
   (b) the first and second Taylor coefficients in theta of the eigenvalue of C_M
       connected to the lowest one, against mu <f> and -mu^2 S of (2.9);
   (c) the residual of the reference against the second-order expression, divided by theta^3.
 - (G) grip with an unbounded f_u = q + q^2/2 + q^3/6 (class (G-theta), C unbounded below
   for theta != 0): first and second Taylor coefficients in theta of the compressed
   eigenvalue against mu <f_u> and -mu^2 S of (2.9), Step 5 (iv).
Output: output/compression.json.
"""
import json
import os
import threading
import time
from pathlib import Path

import numpy as np
import scipy.sparse as sp
import scipy.sparse.linalg as sla
from scipy import integrate

WALL_LIMIT_S = 1500
threading.Timer(WALL_LIMIT_S, lambda: os._exit(3)).start()
T0 = time.time()
OUT = Path(__file__).parent / "output"
OUT.mkdir(exist_ok=True)

KAPPA, MH = 1.0, 1.0
MS = [4, 6, 8, 10, 12, 16, 20, 24, 32]
G2 = (1.0, 0.5, 0.2)
F0G, B, MU_G = 1.0, 0.5, 0.75
THETAS = [0.05, 0.1, 0.2, 0.4]
GRIDS = [(0.30, 17), (0.24, 23)]  # (spacing h, half-number n): points j h, j = -n..n

# uncompressed 3-ring: K = (m^2 + 2 kappa) 1 - kappa (adjacency of the triangle)
K = (MH**2 + 2 * KAPPA) * np.eye(3) - KAPPA * (np.ones((3, 3)) - np.eye(3))
wk = np.sqrt(np.linalg.eigvalsh(K))
G0 = np.linalg.inv(K)[0, 0]
w0 = 0.5 * np.mean(1 / wk)


def fgrip(x):
    return np.sin(x) + B * (1 - np.cos(x))


def fgrip_u(x):  # unbounded member of (G-theta): cubic Taylor polynomial of e^q - 1
    return x + x**2 / 2 + x**3 / 6


def rs_coefficients(H, E_f, Om, V):
    """First and second Rayleigh-Schroedinger coefficients of the lowest eigenvalue of H + t V."""
    VO = V @ Om
    E1 = Om @ VO
    rhs = VO - E1 * Om
    A = sla.LinearOperator(H.shape, matvec=lambda x: H @ x - E_f * x + Om * (Om @ x), dtype=float)
    sol, info = sla.cg(A, rhs, rtol=1e-13, atol=0, maxiter=20000)
    return E1, -rhs @ sol, int(info)


def exact_g2(mu, F):
    F0, F1, F2 = F
    Kp = K.copy()
    Kp[0, 0] += 2 * mu * F2
    J = np.array([mu * F1, 0, 0])
    return mu * F0 + 0.5 * np.sum(np.sqrt(np.linalg.eigvalsh(Kp))) - 0.5 * J @ np.linalg.solve(Kp, J)


def cell_ops(M):
    n = np.arange(M)
    q = np.diag(np.sqrt((n[:-1] + 1) / 2), 1)
    q = q + q.T
    q2 = np.diag(n + 0.5) + np.diag(np.sqrt((n[:-2] + 1) * (n[:-2] + 2)) / 2, 2)
    q2 = np.triu(q2) + np.triu(q2, 1).T
    p2 = np.diag(n + 0.5) - np.diag(np.sqrt((n[:-2] + 1) * (n[:-2] + 2)) / 2, 2)
    p2 = np.triu(p2) + np.triu(p2, 1).T
    return q, q2, p2


def compressed_function(M, fun, extra=60):
    """Pi fun(q) Pi on the M lowest levels, from a much larger truncation."""
    qb, _, _ = cell_ops(M + extra)
    lam, U = np.linalg.eigh(qb)
    return ((U * fun(lam)) @ U.T)[:M, :M]


def field_contract(M):
    q, q2, p2 = cell_ops(M)
    I = sp.identity(M, format="csr")

    def on(op, x):
        mats = [I, I, I]
        mats[x] = sp.csr_matrix(op)
        return sp.kron(sp.kron(mats[0], mats[1]), mats[2], format="csr")
    H = sum(on(0.5 * p2 + 0.5 * (MH**2 + 2 * KAPPA) * q2, x) for x in range(3))
    for (x, y) in [(0, 1), (1, 2), (2, 0)]:
        mats = [I, I, I]
        mats[x] = sp.csr_matrix(q)
        mats[y] = sp.csr_matrix(q)
        H = H - KAPPA * sp.kron(sp.kron(mats[0], mats[1]), mats[2], format="csr")
    return H, on


def lowest(A, v0=None):
    vals, vecs = sla.eigsh(A, k=1, which="SA", tol=1e-13, v0=v0, maxiter=200000)
    return vals[0], vecs[:, 0]


def dvr_lowest(theta, h, n):
    """Lowest eigenvalue of H + mu (F0 + theta f(q_0)) on a sinc position grid in each cell."""
    j = np.arange(-n, n + 1)
    x = h * j
    dj = j[:, None] - j[None, :]
    # Colbert-Miller kinetic matrix of 1/2 p^2: (1/(2h^2)) [pi^2/3 on the diagonal, 2(-1)^k/k^2 off it]
    T1 = np.where(dj == 0, np.pi**2 / 6, (-1.0) ** np.abs(dj) / np.where(dj == 0, 1, dj) ** 2) / h**2
    q0, q1, q2 = x[:, None, None], x[None, :, None], x[None, None, :]
    V = 0.5 * (K[0, 0] * q0**2 + K[1, 1] * q1**2 + K[2, 2] * q2**2
               + 2 * K[0, 1] * q0 * q1 + 2 * K[1, 2] * q1 * q2 + 2 * K[0, 2] * q0 * q2)
    V = V + MU_G * (F0G + theta * fgrip(q0))
    m = len(x)
    shape = (m, m, m)

    def mv(v):
        p = v.reshape(shape)
        out = V * p
        out = out + np.tensordot(T1, p, axes=(1, 0))
        out = out + np.moveaxis(np.tensordot(T1, p, axes=(1, 1)), 0, 1)
        out = out + np.moveaxis(np.tensordot(T1, p, axes=(1, 2)), 0, 2)
        return out.ravel()
    A = sla.LinearOperator((m**3, m**3), matvec=mv, dtype=float)
    # start: Gaussian lowest eigenvector of the field, exp(-1/2 q K^{1/2} q)
    Ks = np.real(np.linalg.eigh(K)[1] @ np.diag(wk) @ np.linalg.eigh(K)[1].T)
    g0 = np.exp(-0.5 * (Ks[0, 0] * q0**2 + Ks[1, 1] * q1**2 + Ks[2, 2] * q2**2
                        + 2 * Ks[0, 1] * q0 * q1 + 2 * Ks[1, 2] * q1 * q2 + 2 * Ks[0, 2] * q0 * q2)).ravel()
    vals = sla.eigsh(A, k=1, which="SA", tol=1e-14, v0=g0, ncv=60, maxiter=100000, return_eigenvectors=False)
    return float(vals[0]), m


def main():
    res = dict(parameters=dict(kappa_h=KAPPA, m_h=MH, G2_grip=G2,
                               G_grip=dict(F0=F0G, b=B, mu=MU_G, thetas=THETAS), dvr_grids=GRIDS),
               field=dict(omega=wk.tolist(), G0=G0, w0=w0))
    # analytic (M -> infinity) Taylor coefficients for f = sin q + b (1 - cos q)
    c = lambda tau: np.sum(np.exp(-wk * tau) / wk) / 6.0
    S_int, _ = integrate.quad(lambda t: np.sinh(c(t)) + B**2 * (np.cosh(c(t)) - 1), 0, np.inf, epsabs=1e-14, limit=400)
    T_int, _ = integrate.quad(lambda t: 1 - np.exp(-c(t)), 0, np.inf, epsabs=1e-14, limit=400)
    Sf = np.exp(-w0) * S_int
    Tf = B * np.exp(-w0) * T_int
    E_field_exact = 0.5 * np.sum(wk)
    E1_exact = MU_G * B * (1 - np.exp(-w0 / 2))
    E2_exact = -MU_G**2 * Sf
    # unbounded grip f_u: <f_u> = w0/2, <f_u'> = 1 + w0/2, <f_u''> = <f_u'''> = 1, J_n = int c^n
    Jn = {n: integrate.quad(lambda t: c(t) ** n, 0, np.inf, epsabs=1e-15, limit=400)[0] for n in (1, 2, 3)}
    Su = (1 + w0 / 2) ** 2 * Jn[1] + Jn[2] / 2 + Jn[3] / 6
    E1u_exact = MU_G * w0 / 2
    E2u_exact = -MU_G**2 * Su
    res["unbounded_grip"] = dict(f="q + q^2/2 + q^3/6", J1=Jn[1], J1_minus_G0_over_2=Jn[1] - G0 / 2,
                                 J2=Jn[2], J3=Jn[3], S=Su, E1_exact=E1u_exact, E2_exact=E2u_exact)

    # (a) independent reference: sinc grids, theta = 0 checks the grid against the exact field value
    ref = {}
    for th in [0.0] + THETAS:
        vals = [dvr_lowest(th, h, n)[0] for (h, n) in GRIDS]
        ref[th] = dict(E_grid_coarse=vals[0], E_grid_fine=vals[1], grid_difference=vals[1] - vals[0])
    ref[0.0]["exact"] = E_field_exact + MU_G * F0G
    print(f"grid references done at {time.time() - T0:.1f}s", flush=True)

    rows_g2, rows_g = [], []
    for M in MS:
        H, on = field_contract(M)
        q, q2, _ = cell_ops(M)
        E_f, Om = lowest(H)
        row = dict(M=M, E_field=E_f, E_field_exact=E_field_exact)
        for mu in (+0.75, -0.75):
            F0, F1, F2 = G2
            V = on(F0 * np.eye(M) + F1 * q + F2 * q2, 0) * mu
            E_b, _ = lowest(H + V, v0=Om)
            row[f"E_body_mu{mu:+}"] = E_b
            row[f"E_body_exact_mu{mu:+}"] = exact_g2(mu, G2)
            row[f"cost_mu{mu:+}"] = E_b - E_f
            row[f"cost_exact_mu{mu:+}"] = exact_g2(mu, G2) - E_field_exact
        rows_g2.append(row)
        # (G): (b) Taylor coefficients by Rayleigh-Schroedinger on the finite matrix
        fM = compressed_function(M, fgrip)
        V = on(fM, 0) * MU_G
        E1, E2, info = rs_coefficients(H, E_f, Om, V)
        rg = dict(M=M, E1=E1, E1_exact=E1_exact, E2=E2, E2_exact=E2_exact, cg_info=info)
        # unbounded grip: Pi f_u(q) Pi is exact from the larger truncation (polynomial of degree 3)
        Vu = on(compressed_function(M, fgrip_u), 0) * MU_G
        E1u, E2u, infou = rs_coefficients(H, E_f, Om, Vu)
        rg.update(E1_unbounded=E1u, E1_unbounded_err=E1u - E1u_exact,
                  E2_unbounded=E2u, E2_unbounded_err=E2u - E2u_exact, cg_info_unbounded=infou)
        # (a) lowest eigenvalue of C_M at several theta against the grid reference
        for th in THETAS:
            Eth, _ = lowest(H + on(F0G * np.eye(M), 0) * MU_G + th * V, v0=Om)
            rg[f"E_CM_theta{th}"] = Eth
            rg[f"err_vs_reference_theta{th}"] = Eth - ref[th]["E_grid_fine"]
        rows_g.append(rg)
        print(f"M={M} done at {time.time() - T0:.1f}s", flush=True)
    # (c) residual of the reference against the second-order expression
    cubic = {}
    for th in THETAS:
        E2nd = E_field_exact + MU_G * F0G + th * E1_exact + th**2 * E2_exact
        cubic[th] = dict(E_reference=ref[th]["E_grid_fine"], E_second_order=E2nd,
                         residual=ref[th]["E_grid_fine"] - E2nd,
                         residual_over_theta3=(ref[th]["E_grid_fine"] - E2nd) / th**3)
    res["G2"] = rows_g2
    res["G"] = rows_g
    res["G_reference"] = {str(k): v for k, v in ref.items()}
    res["G_residual_against_second_order"] = {str(k): v for k, v in cubic.items()}
    res["G_weight_coefficient_T"] = Tf
    res["runtime_s"] = time.time() - T0
    with open(OUT / "compression.json", "w") as fh:
        json.dump(res, fh, indent=1)
    print(json.dumps(res, indent=1))
    os._exit(0)


if __name__ == "__main__":
    main()

"""Check (i) of 08-ilang-propagation/02-grip-weight (v3).

For (G2) grips F(q) = F0 + F1 q + F2 q^2 on rings and cubic tori, compute the
weighing ratios rho_mark and rho_bond,i (one per body, reference: a single body with
the grip of body i at the midpoint) from the exact lowest eigenvalue of the
uncompressed quadratic total contract
    E = sum_i s mu_i F0_i + 1/2 Tr sqrt(K') - 1/2 J^T K'^{-1} J ,
obtained by numerical linear algebra (eigvalsh, solve) with finite differences in
s (grip scaling) and g_s (source strength), and compare them with the formulas
of the derivation: (2.15) exact mark ratio, (2.16) exact bond ratio for two grips
(unfactored form, valid whenever U != 0), (2.14) order-mu^2 ratios, (2.18) leading order,
(2.19) square-grip deviation. On every graph one pair of different grips is tuned to
U_cl = 0 (v^T M v = 0), where only the unfactored (2.16) applies.
A second block follows the ratios as m_h -> 0 on a ring of fixed size, (2.24).
Outputs: output/g2_mark.csv, output/g2_bond.csv, output/g2_mh_limit.csv,
output/g2_summary.json.
"""
import csv
import itertools
import json
import os
import threading
import time
from pathlib import Path

for _v in ("OPENBLAS_NUM_THREADS", "OMP_NUM_THREADS", "MKL_NUM_THREADS"):
    os.environ.setdefault(_v, "1")  # small dense matrices: one thread is fastest
import numpy as np
from scipy import integrate

WALL_LIMIT_S = 1500
threading.Timer(WALL_LIMIT_S, lambda: os._exit(3)).start()
T0 = time.time()

OUT = Path(__file__).parent / "output"
OUT.mkdir(exist_ok=True)

KAPPA, MH = 1.0, 0.3
# Model D levels: M_k = m + 2 pi k/(N lambda0) with m = 0.5, N = 4, lambda0 = 2 pi
M_LEVEL = {0: 0.5, 1: 0.75}
GRIPS = {
    "square": (1.0, 0.6, 0.09),      # F0 (1 + 0.3 q)^2 : 4 F0 F2 = F1^2
    "generic": (1.0, 0.6, 0.15),     # 4 F0 F2 / F1^2 = 1.667
    "linear": (1.0, 0.6, 0.0),       # control
    "square_b02": (1.0, 0.4, 0.04),  # F0 (1 + 0.2 q)^2, used only in pairs
}
MARK_GRIPS = ["square", "generic", "linear"]
GRIP_PAIRS = [("square", "square"), ("generic", "generic"), ("linear", "linear"),
              ("square", "square_b02"), ("square", "generic")]
GRAPHS = [("ring", 1, 40), ("ring", 1, 80), ("cubic", 3, 8), ("cubic", 3, 12)]
LEVELS = [(0, +1), (0, -1), (1, +1), (1, -1)]
PAIRS = [((0, +1), (0, +1)), ((1, -1), (1, -1)), ((0, +1), (1, +1)), ((0, +1), (0, -1))]
MH_LIST = [0.3, 0.1, 0.03, 0.01, 0.003, 0.001]


class Graph:
    def __init__(self, D, L, mh=MH):
        self.D, self.L, self.mh = D, L, mh
        self.coords = np.array(list(itertools.product(range(L), repeat=D)))
        self.N = len(self.coords)
        idx = {tuple(c): i for i, c in enumerate(self.coords)}
        self.idx = idx
        K = np.eye(self.N) * (mh**2 + 2 * D * KAPPA)
        for i, c in enumerate(self.coords):
            for d in range(D):
                for sgn in (+1, -1):
                    c2 = c.copy()
                    c2[d] = (c2[d] + sgn) % L
                    K[i, idx[tuple(c2)]] -= KAPPA
        self.K = K
        ks = 2 * np.pi * self.coords / L  # momenta
        self.ks = ks
        self.w2 = mh**2 + KAPPA * np.sum(4 * np.sin(ks / 2) ** 2, axis=1)
        self.w = np.sqrt(self.w2)
        self.trK = 0.5 * np.sum(self.w)

    def site(self, c):
        return self.idx[tuple(np.mod(c, self.L))]

    def G(self, r):  # Green function K^{-1} at separation r (Fourier sum)
        return np.mean(np.cos(self.ks @ np.asarray(r, float)) / self.w2)

    def w0(self):
        return np.mean(1 / (2 * self.w))

    def J2(self, r):  # int_0^inf c_r(tau)^2 dtau, c_r(tau) = (1/2N) sum_k cos(k.r) e^{-w_k tau}/w_k
        a = np.cos(self.ks @ np.asarray(r, float)) / self.w
        W = self.w[:, None] + self.w[None, :]
        return float(np.sum((a[:, None] * a[None, :]) / W) / (4 * self.N**2))

    def g(self, nu, r=None):
        if r is None:
            return np.mean(1 / (self.w2 + nu**2))
        return np.mean(np.cos(self.ks @ np.asarray(r, float)) / (self.w2 + nu**2))


def energy(gr, bodies, s, gsrc, src):
    """Exact lowest eigenvalue of 1/2 p^2 + 1/2 q K q + sum_i s mu_i F_i(q_{x_i}) + g q_src."""
    Kp = gr.K.copy()
    J = np.zeros(gr.N)
    c = 0.0
    for (x, mu, F) in bodies:
        F0, F1, F2 = F
        Kp[x, x] += 2 * s * mu * F2
        J[x] += s * mu * F1
        c += s * mu * F0
    J[src] += gsrc
    ev = np.linalg.eigvalsh(Kp)
    if ev.min() <= 0:
        raise ValueError("no lowest eigenvector: K' not positive")
    return c + 0.5 * np.sum(np.sqrt(ev)) - 0.5 * J @ np.linalg.solve(Kp, J)


def dweight(gr, bodies, s, src):
    # linear coefficient in g of the exact eigenvalue: E is exactly quadratic in g and the
    # trace term is g-independent (same K'), so [E(g) - E(-g)]/(2g) = -J_b^T K'^{-1} e_src exactly
    Kp = gr.K.copy()
    J = np.zeros(gr.N)
    for (x, mu, F) in bodies:
        Kp[x, x] += 2 * s * mu * F[2]
        J[x] += s * mu * F[1]
    e = np.zeros(gr.N)
    e[src] = 1.0
    return -J @ np.linalg.solve(Kp, e)


def dds(f, h=1e-2):
    return (8 * (f(h) - f(-h)) - (f(2 * h) - f(-2 * h))) / (12 * h)


def step(gr, mu, F):
    # s-step small against the scale 1/(2 |mu F2| G0) of the s-dependence
    return min(1e-2, 0.02 / (1 + 2 * abs(mu * F[2]) * gr.G(np.zeros(gr.D))))


def zeta_mark(gr, mu, F):
    F0, F1, F2 = F
    if F2 == 0:
        return 0.0
    G0, t = gr.G(np.zeros(gr.D)), 2 * mu * F2

    def chi(x):
        return (x - np.log1p(x)) / x**2 if abs(x) > 1e-6 else 0.5 - x / 3 + x**2 / 4

    def integrand(nu):
        g = gr.g(nu)
        return g**2 * (1 + t * G0) * chi(t * g)

    pts = [gr.mh, 10 * gr.mh] if gr.mh < 0.1 else None
    val, _ = integrate.quad(integrand, 0, 1.0, points=pts, epsabs=1e-14, epsrel=1e-11, limit=400)
    val2, _ = integrate.quad(integrand, 1.0, np.inf, epsabs=1e-14, epsrel=1e-11, limit=400)
    return 4 * F2**2 / (np.pi * G0) * (val + val2)


def zbond(gr, r, a1, a2):
    if a1 == 0 or a2 == 0:
        return 0.0

    def integrand(nu):
        g, gr_ = gr.g(nu), gr.g(nu, r)
        return np.log1p(-a1 * a2 * gr_**2 / ((1 + a1 * g) * (1 + a2 * g)))

    pts = [gr.mh, 10 * gr.mh] if gr.mh < 0.1 else None
    val, _ = integrate.quad(integrand, 0, 1.0, points=pts, epsabs=1e-15, epsrel=1e-11, limit=400)
    val2, _ = integrate.quad(integrand, 1.0, np.inf, epsabs=1e-15, epsrel=1e-11, limit=400)
    return (val + val2) / (2 * np.pi)


def bond_formulas(gr, rvec, Fs, mus, dphi, dphibar):
    """Exact (2.13)/(2.16), order-mu^2 (2.14) and leading-order (2.18) bond ratios, one per body."""
    G0, w0 = gr.G(np.zeros(gr.D)), gr.w0()
    Gr, J2r = gr.G(rvec), gr.J2(rvec)
    F0v = np.array([F[0] for F in Fs])
    F1v = np.array([F[1] for F in Fs])
    F2v = np.array([F[2] for F in Fs])
    mus = np.asarray(mus, float)
    a = 2 * mus * F2v
    v = mus * F1v
    Dv = 1 + a * G0
    Del = G0**2 - Gr**2
    B = np.array([[G0 + a[1] * Del, Gr], [Gr, G0 + a[0] * Del]]) / (Dv[0] * Dv[1] - a[0] * a[1] * Gr**2)
    Mm = B - np.diag(G0 / Dv)
    Ucl = -0.5 * v @ Mm @ v
    Zb = zbond(gr, rvec, a[0], a[1])
    wts = v * (Mm @ v) / (v @ Mm @ v) if abs(v @ Mm @ v) > 1e-12 else np.full(2, np.nan)
    eta = F2v / F1v
    meanF = F0v + F2v * w0
    S12 = F1v[0] * F1v[1] * Gr / 2 + 2 * F2v[0] * F2v[1] * J2r
    TT = Gr * (F2v[0] * F1v[1] * dphi[0] + F1v[0] * F2v[1] * dphi[1])
    dWb = -2 * np.sum(eta * v * (Mm @ v) * dphi)  # (2.13), per unit g_s
    out = dict(U_formula=Ucl + Zb, U_cl=Ucl, Z_b=Zb, w1=wts[0])
    for i in (0, 1):
        # (2.16), unfactored: (<F_i>/F1_i) dW_bond / (U dphibar), U = U_cl + Z_b
        out[f"rho_exact_{i+1}"] = meanF[i] / F1v[i] * dWb / ((Ucl + Zb) * dphibar)
        out[f"rho_mu2_{i+1}"] = meanF[i] / F1v[i] * TT / (S12 * dphibar)
        out[f"rho_lead_{i+1}"] = 2 * F0v[i] / F1v[i] * (eta @ dphi) / dphibar
    return out


def main():
    mark_rows, bond_rows, graph_info, ucl0_rows = [], [], [], []
    for (name, D, L) in GRAPHS:
        gr = Graph(D, L)
        zero = np.zeros(D, int)
        e1 = np.eye(D, dtype=int)[0]
        e2 = np.eye(D, dtype=int)[1] if D > 1 else e1
        src = gr.site(zero)
        anti = np.full(D, L // 2)
        G0, w0 = gr.G(zero), gr.w0()
        J20 = gr.J2(zero)
        graph_info.append(dict(graph=name, L=L, N=gr.N, G0=G0, w0=w0, J2_0=J20,
                               J2_over_G0=J20 / G0, ell=np.sqrt(KAPPA) / MH))
        dists = [1, 5, 10] if (D == 1 and L == 40) else [1, 5, 20] if D == 1 else [1, 2, 3] if L == 8 else [1, 3, 5]
        phi = lambda c: -gr.G(np.asarray(c))  # made field per unit g_s
        # ---- marks
        for gname in MARK_GRIPS:
            F = GRIPS[gname]
            F0, F1, F2 = F
            for (k, sg) in LEVELS:
                mu = sg * M_LEVEL[k]
                xb0 = gr.site(anti)
                cost = lambda s: energy(gr, [(xb0, mu, F)], s, 0, src) - gr.trK
                C1 = dds(cost)
                Cmark = cost(1.0) - C1
                meanF = F0 + F2 * w0
                zeta = zeta_mark(gr, mu, F)
                rho_exact = 4 * F2 * meanF / (F1**2 + zeta)
                rho_mu2 = 4 * F2 * meanF / (F1**2 + 4 * F2**2 * J20 / G0)
                rho_lead = 4 * F0 * F2 / F1**2
                Wref = {}
                for xc in [anti] + [d * e1 for d in dists]:
                    x = gr.site(xc)
                    W = dweight(gr, [(x, mu, F)], 1.0, src)
                    W1 = dds(lambda s: dweight(gr, [(x, mu, F)], s, src))
                    Wref[tuple(xc)] = (W, W1)
                Wa, W1a = Wref[tuple(anti)]
                for d in dists:
                    W, W1 = Wref[tuple(d * e1)]
                    dWmark, dW1 = (W - W1) - (Wa - W1a), W1 - W1a
                    rho_num = (dWmark / Cmark) / (dW1 / C1)
                    mark_rows.append(dict(graph=name, L=L, grip=gname, k=k, sigma=sg, d=d,
                                          C1=C1, C1_formula=mu * meanF, Cmark=Cmark,
                                          rho_num=rho_num, rho_exact=rho_exact,
                                          rho_mu2=rho_mu2, rho_lead=rho_lead,
                                          dev_exact=rho_num - rho_exact))
        # ---- bonds: single-body references with the grip of body i (level independent)
        mu_r = M_LEVEL[0]
        x_ref = gr.site(anti)
        C1r, W1_cache = {}, {}

        def W1_at(gname, xs):
            if (gname, xs) not in W1_cache:
                W1_cache[(gname, xs)] = dds(lambda s: dweight(gr, [(xs, mu_r, GRIPS[gname])], s, src))
            return W1_cache[(gname, xs)]
        for gname in GRIPS:
            C1r[gname] = dds(lambda s: energy(gr, [(x_ref, mu_r, GRIPS[gname])], s, 0, src) - gr.trK)
        mid_d = [4, 8, 12] if D == 1 else dists
        seps = [2, 4]
        cache1 = {}

        def single(kind, x, mu, gname):  # cached single-body energy ("E") or weight ("W") at s = 1
            key = (kind, x, mu, gname)
            if key not in cache1:
                b = [(x, mu, GRIPS[gname])]
                cache1[key] = energy(gr, b, 1.0, 0, src) if kind == "E" else dweight(gr, b, 1.0, src)
            return cache1[key]
        for (ga, gb) in GRIP_PAIRS:
            Fa, Fb = GRIPS[ga], GRIPS[gb]
            for (p1, p2) in PAIRS:
                mu1, mu2 = p1[1] * M_LEVEL[p1[0]], p2[1] * M_LEVEL[p2[0]]
                for r in seps:
                    rvec = r * e2

                    def pair_sites(mc):
                        return gr.site(np.asarray(mc) - rvec // 2), gr.site(np.asarray(mc) + rvec // 2)
                    xa, xbb = pair_sites(anti)
                    try:
                        Ep = energy(gr, [(xa, mu1, Fa), (xbb, mu2, Fb)], 1.0, 0, src)
                    except ValueError:
                        continue
                    E1 = single("E", xa, mu1, ga)
                    E2 = single("E", xbb, mu2, gb)
                    U = Ep - E1 - E2 + gr.trK

                    def Wbond(mc):
                        x1, x2 = pair_sites(mc)
                        return (dweight(gr, [(x1, mu1, Fa), (x2, mu2, Fb)], 1.0, src)
                                - single("W", x1, mu1, ga) - single("W", x2, mu2, gb))
                    Wb_ref = Wbond(anti)
                    for d in mid_d:
                        mc = d * e1
                        x1c, x2c = np.asarray(mc) - rvec // 2, np.asarray(mc) + rvec // 2
                        if gr.site(x1c) == src or gr.site(x2c) == src:
                            continue
                        Wb = Wbond(mc)
                        xm = gr.site(mc)
                        a1c, a2c = anti - rvec // 2, anti + rvec // 2
                        dphi = np.array([phi(x1c) - phi(a1c), phi(x2c) - phi(a2c)])
                        dphibar = phi(mc) - phi(anti)
                        mf = dphi.sum() / (2 * dphibar)
                        row = dict(graph=name, L=L, grips=f"{ga}+{gb}", pair=f"{p1}{p2}", r=r, d=d,
                                   U=U, mf=mf, J2r_over_Gr=gr.J2(rvec) / gr.G(rvec))
                        for i, gname in enumerate((ga, gb)):
                            ref = (W1_at(gname, xm) - W1_at(gname, x_ref)) / C1r[gname]
                            row[f"rho_num_{i+1}"] = ((Wb - Wb_ref) / U) / ref
                        row.update(bond_formulas(gr, rvec, (Fa, Fb), (mu1, mu2), dphi, dphibar))
                        for i in (1, 2):
                            row[f"dev_exact_{i}"] = row[f"rho_num_{i}"] - row[f"rho_exact_{i}"]
                            row[f"dev_mu2_{i}"] = row[f"rho_num_{i}"] - row[f"rho_mu2_{i}"]
                        bond_rows.append(row)
        # ---- (I5) different grips tuned to U_cl = 0: square grip + (F0, t F1, F2), labels (0,+)(0,+),
        # separation 2; t is the smaller root of v^T M v = 0 (M from the two-site block of K'^{-1})
        mu_t, rvec = M_LEVEL[0], 2 * e2
        Fa = GRIPS["square"]
        at, Gr2 = 2 * mu_t * Fa[2], gr.G(rvec)
        Dt = 1 + at * G0
        Del2 = Dt**2 - at**2 * Gr2**2
        M11, M12 = -at * Gr2**2 / (Dt * Del2), Gr2 / Del2
        t_root = (M12 - np.sqrt(M12**2 - M11**2)) / (-M11)
        Fb = (Fa[0], t_root * Fa[1], Fa[2])
        xa, xbb = gr.site(anti - rvec // 2), gr.site(anti + rvec // 2)
        Ep = energy(gr, [(xa, mu_t, Fa), (xbb, mu_t, Fb)], 1.0, 0, src)
        U = Ep - energy(gr, [(xa, mu_t, Fa)], 1.0, 0, src) - energy(gr, [(xbb, mu_t, Fb)], 1.0, 0, src) + gr.trK

        def Wbond_t(mc):
            x1, x2 = gr.site(np.asarray(mc) - rvec // 2), gr.site(np.asarray(mc) + rvec // 2)
            return (dweight(gr, [(x1, mu_t, Fa), (x2, mu_t, Fb)], 1.0, src)
                    - dweight(gr, [(x1, mu_t, Fa)], 1.0, src) - dweight(gr, [(x2, mu_t, Fb)], 1.0, src))
        Wt_ref = Wbond_t(anti)
        C1t = [dds(lambda s: energy(gr, [(x_ref, mu_t, F)], s, 0, src) - gr.trK) for F in (Fa, Fb)]
        for d in mid_d:
            mc = d * e1
            x1c, x2c = mc - rvec // 2, mc + rvec // 2
            if gr.site(x1c) == src or gr.site(x2c) == src:
                continue
            xm = gr.site(mc)
            dphi = np.array([phi(x1c) - phi(anti - rvec // 2), phi(x2c) - phi(anti + rvec // 2)])
            dphibar = phi(mc) - phi(anti)
            row = dict(graph=name, L=L, grips="square+tuned", F1_tuned=Fb[1], pair="(0, 1)(0, 1)", r=2, d=d,
                       U=U, mf=dphi.sum() / (2 * dphibar))
            Wb_t = Wbond_t(mc)
            for i, F in enumerate((Fa, Fb)):
                ref = (dds(lambda s: dweight(gr, [(xm, mu_t, F)], s, src))
                       - dds(lambda s: dweight(gr, [(x_ref, mu_t, F)], s, src))) / C1t[i]
                row[f"rho_num_{i+1}"] = ((Wb_t - Wt_ref) / U) / ref
            row.update(bond_formulas(gr, rvec, (Fa, Fb), (mu_t, mu_t), dphi, dphibar))
            for i in (1, 2):
                row[f"dev_exact_{i}"] = row[f"rho_num_{i}"] - row[f"rho_exact_{i}"]
            ucl0_rows.append(row)
        print(f"{name} L={L} done at {time.time() - T0:.1f}s", flush=True)

    # ---- m_h -> 0 at fixed L (ring L = 40), sectors with mu F2 > 0
    mh_rows = []
    for mh in MH_LIST:
        gr = Graph(1, 40, mh)
        src, anti, xd = gr.site([0]), 20, gr.site([5])
        G0, w0 = gr.G([0]), gr.w0()
        for gname in ("generic", "square", "linear"):
            F = GRIPS[gname]
            for mu in (+0.5, +0.75):
                h = step(gr, mu, F)
                cost = lambda s: energy(gr, [(anti, mu, F)], s, 0, src) - gr.trK
                C1 = dds(cost, h)
                cst = cost(1.0)
                Cmark = cst - C1
                W = {x: dweight(gr, [(x, mu, F)], 1.0, src) for x in (xd, anti)}
                W1 = {x: dds(lambda s: dweight(gr, [(x, mu, F)], s, src), h) for x in (xd, anti)}
                dW1 = W1[xd] - W1[anti]
                dWm = (W[xd] - W1[xd]) - (W[anti] - W1[anti])
                rho = (dWm / Cmark) / (dW1 / C1)
                F0, F1, F2 = F
                rho_f = 4 * F2 * (F0 + F2 * w0) / (F1**2 + zeta_mark(gr, mu, F))
                mh_rows.append(dict(kind="mark", m_h=mh, G0=G0, w0=w0, grips=gname, mu=mu, cost=cst,
                                    C1=C1, C1_formula=mu * (F0 + F2 * w0), Cmark=Cmark, rho_num=rho,
                                    rho_formula=rho_f,
                                    exists_mu_minus075=bool(1 - 2 * 0.75 * F2 * G0 > 0)))
        for (ga, gb, mu1, mu2) in (("generic", "generic", 0.5, 0.5), ("generic", "generic", 0.5, 0.75),
                                   ("square", "generic", 0.5, 0.5)):
            Fa, Fb = GRIPS[ga], GRIPS[gb]
            x1r, x2r, x1, x2 = anti - 1, anti + 1, gr.site([7]), gr.site([9])
            U = (energy(gr, [(x1r, mu1, Fa), (x2r, mu2, Fb)], 1.0, 0, src)
                 - energy(gr, [(x1r, mu1, Fa)], 1.0, 0, src) - energy(gr, [(x2r, mu2, Fb)], 1.0, 0, src) + gr.trK)

            def Wb(y1, y2):
                return (dweight(gr, [(y1, mu1, Fa), (y2, mu2, Fb)], 1.0, src)
                        - dweight(gr, [(y1, mu1, Fa)], 1.0, src) - dweight(gr, [(y2, mu2, Fb)], 1.0, src))
            dWb = Wb(x1, x2) - Wb(x1r, x2r)
            row = dict(kind="bond", m_h=mh, G0=G0, w0=w0, grips=f"{ga}+{gb}", mu=f"{mu1},{mu2}", U=U,
                       dWbond_over_U=dWb / U)
            for i, F in enumerate((Fa, Fb)):
                h = step(gr, 0.5, F)
                C1 = dds(lambda s: energy(gr, [(anti, 0.5, F)], s, 0, src) - gr.trK, h)
                xm = gr.site([8])
                ref = (dds(lambda s: dweight(gr, [(xm, 0.5, F)], s, src), h)
                       - dds(lambda s: dweight(gr, [(anti, 0.5, F)], s, src), h)) / C1
                row[f"rho_num_{i+1}"] = (dWb / U) / ref
            mh_rows.append(row)
    print(f"m_h block done at {time.time() - T0:.1f}s", flush=True)

    for fname, rows in (("g2_mark.csv", mark_rows), ("g2_bond.csv", bond_rows), ("g2_mh_limit.csv", mh_rows)):
        keys = []
        for row in rows:
            keys += [k for k in row if k not in keys]
        with open(OUT / fname, "w", newline="") as fh:
            wr = csv.DictWriter(fh, fieldnames=keys)
            wr.writeheader()
            for row in rows:
                wr.writerow({k: (f"{v:.12g}" if isinstance(v, float) else v) for k, v in row.items()})

    def mx(rows, keys, cond=lambda r: True):
        vals = [abs(r[k]) for r in rows if cond(r) for k in keys if k in r]
        return max(vals) if vals else None

    def w0_of(r):
        return next(g["w0"] for g in graph_info if g["graph"] == r["graph"] and g["L"] == r["L"])

    summary = dict(
        parameters=dict(kappa_h=KAPPA, m_h=MH, M_levels=M_LEVEL, grips=GRIPS, grip_pairs=GRIP_PAIRS),
        graphs=graph_info,
        max_abs_C1_minus_formula=max(abs(r["C1"] - r["C1_formula"]) for r in mark_rows),
        max_abs_rho_mark_num_minus_exact=mx(mark_rows, ["dev_exact"]),
        max_abs_bond_U_minus_formula=max(abs(r["U"] - r["U_formula"]) for r in bond_rows),
        max_abs_rho_bond_num_minus_exact=mx(bond_rows, ["dev_exact_1", "dev_exact_2"]),
        max_abs_rho_bond_num_minus_mu2_common=mx(bond_rows, ["dev_mu2_1"],
                                                 lambda r: r["grips"].split("+")[0] == r["grips"].split("+")[1]),
        max_abs_rho_bond_num_minus_mu2_mixed=mx(bond_rows, ["dev_mu2_1", "dev_mu2_2"],
                                                lambda r: r["grips"].split("+")[0] != r["grips"].split("+")[1]),
        rho_mark_square_by_level={f"{r['graph']}{r['L']} k={r['k']} s={r['sigma']}": r["rho_num"]
                                  for r in mark_rows if r["grip"] == "square" and r["d"] == 1},
        rho_mark_generic_by_level={f"{r['graph']}{r['L']} k={r['k']} s={r['sigma']}": r["rho_num"]
                                   for r in mark_rows if r["grip"] == "generic" and r["d"] == 1},
        square_deviation_prediction={f"{g['graph']}{g['L']}": 0.09 * (g["w0"] - g["J2_over_G0"]) for g in graph_info},
        square_bond_deviation={f"{r['graph']}{r['L']} r={r['r']} d={r['d']}":
                               dict(rho_over_mf_minus_1=r["rho_num_1"] / r["mf"] - 1,
                                    prediction_2_19=0.09 * (w0_of(r) - r["J2r_over_Gr"]))
                               for r in bond_rows if r["grips"] == "square+square" and r["pair"] == "(0, 1)(0, 1)"},
        mixed_square_pair_equal_labels={f"{r['graph']}{r['L']} r={r['r']} d={r['d']}":
                                        dict(rho_num_1=r["rho_num_1"], rho_num_2=r["rho_num_2"],
                                             lead_1=r["rho_lead_1"], lead_2=r["rho_lead_2"], mf=r["mf"])
                                        for r in bond_rows if r["grips"] == "square+square_b02"
                                        and r["pair"] == "(0, 1)(0, 1)"},
        max_abs_rho_linear=max([abs(r["rho_num"]) for r in mark_rows if r["grip"] == "linear"]
                               + [abs(r[k]) for r in bond_rows if r["grips"] == "linear+linear"
                                  for k in ("rho_num_1", "rho_num_2")]),
        max_distance_spread_rho_mark=max(
            max(r["rho_num"] for r in mark_rows if (r["graph"], r["L"], r["grip"], r["k"], r["sigma"]) == key)
            - min(r["rho_num"] for r in mark_rows if (r["graph"], r["L"], r["grip"], r["k"], r["sigma"]) == key)
            for key in {(r["graph"], r["L"], r["grip"], r["k"], r["sigma"]) for r in mark_rows}),
        ucl_zero_pairs=[{k: r[k] for k in ("graph", "L", "F1_tuned", "d", "U", "U_cl", "Z_b", "U_formula",
                                           "rho_num_1", "rho_exact_1", "rho_num_2", "rho_exact_2",
                                           "dev_exact_1", "dev_exact_2")} for r in ucl0_rows],
        max_abs_ucl_zero_rho_num_minus_exact=mx(ucl0_rows, ["dev_exact_1", "dev_exact_2"]),
        max_abs_ucl_zero_U_minus_Zb=max(abs(r["U"] - r["Z_b"]) for r in ucl0_rows),
        mh_limit_marks=[dict(m_h=r["m_h"], grip=r["grips"], mu=r["mu"], rho_num=r["rho_num"],
                             rho_formula=r["rho_formula"], cost=r["cost"], C1=r["C1"],
                             exists_mu_minus075=r["exists_mu_minus075"])
                        for r in mh_rows if r["kind"] == "mark"],
        mh_limit_bonds=[dict(m_h=r["m_h"], grips=r["grips"], mu=r["mu"], U=r["U"],
                             rho_num_1=r["rho_num_1"], rho_num_2=r["rho_num_2"])
                        for r in mh_rows if r["kind"] == "bond"],
        runtime_s=time.time() - T0,
    )
    with open(OUT / "g2_summary.json", "w") as fh:
        json.dump(summary, fh, indent=1)
    print(json.dumps({k: v for k, v in summary.items() if not k.startswith("mh_")}, indent=1)[:6000])
    os._exit(0)


if __name__ == "__main__":
    main()

{
 "parameters": {
  "kappa_h": 1.0,
  "m_h": 1.0,
  "G2_grip": [
   1.0,
   0.5,
   0.2
  ],
  "G_grip": {
   "F0": 1.0,
   "b": 0.5,
   "mu": 0.75,
   "thetas": [
    0.05,
    0.1,
    0.2,
    0.4
   ]
  },
  "dvr_grids": [
   [
    0.3,
    17
   ],
   [
    0.24,
    23
   ]
  ]
 },
 "field": {
  "omega": [
   0.9999999999999996,
   2.0,
   2.0
  ],
  "G0": 0.5,
  "w0": 0.3333333333333334
 },
 "unbounded_grip": {
  "f": "q + q^2/2 + q^3/6",
  "J1": 0.25000000000000017,
  "J1_minus_G0_over_2": 1.6653345369377348e-16,
  "J2": 0.03935185185185188,
  "J3": 0.00856481481481478,
  "S": 0.36138117283950644,
  "E1_exact": 0.12500000000000003,
  "E2_exact": -0.20327690972222237
 },
 "G2": [
  {
   "M": 4,
   "E_field": 2.5229411498752965,
   "E_field_exact": 2.5,
   "E_body_mu+0.75": 3.293974976659195,
   "E_body_exact_mu+0.75": 3.267777025021477,
   "cost_mu+0.75": 0.7710338267838983,
   "cost_exact_mu+0.75": 0.767777025021477,
   "E_body_mu-0.75": 1.6753286736452666,
   "E_body_exact_mu-0.75": 1.656726183178957,
   "cost_mu-0.75": -0.8476124762300299,
   "cost_exact_mu-0.75": -0.843273816821043
  },
  {
   "M": 6,
   "E_field": 2.5017491024326084,
   "E_field_exact": 2.5,
   "E_body_mu+0.75": 3.2699458084591146,
   "E_body_exact_mu+0.75": 3.267777025021477,
   "cost_mu+0.75": 0.7681967060265062,
   "cost_exact_mu+0.75": 0.767777025021477,
   "E_body_mu-0.75": 1.6580838437406509,
   "E_body_exact_mu-0.75": 1.656726183178957,
   "cost_mu-0.75": -0.8436652586919575,
   "cost_exact_mu-0.75": -0.843273816821043
  },
  {
   "M": 8,
   "E_field": 2.500124499177573,
   "E_field_exact": 2.5,
   "E_body_mu+0.75": 3.2679475656745964,
   "E_body_exact_mu+0.75": 3.267777025021477,
   "cost_mu+0.75": 0.7678230664970234,
   "cost_exact_mu+0.75": 0.767777025021477,
   "E_body_mu-0.75": 1.6568197424700615,
   "E_body_exact_mu-0.75": 1.656726183178957,
   "cost_mu-0.75": -0.8433047567075116,
   "cost_exact_mu-0.75": -0.843273816821043
  },
  {
   "M": 10,
   "E_field": 2.5000085877039115,
   "E_field_exact": 2.5,
   "E_body_mu+0.75": 3.26779018269238,
   "E_body_exact_mu+0.75": 3.267777025021477,
   "cost_mu+0.75": 0.7677815949884685,
   "cost_exact_mu+0.75": 0.767777025021477,
   "E_body_mu-0.75": 1.6567324639744532,
   "E_body_exact_mu-0.75": 1.656726183178957,
   "cost_mu-0.75": -0.8432761237294584,
   "cost_exact_mu-0.75": -0.843273816821043
  },
  {
   "M": 12,
   "E_field": 2.5000005825247498,
   "E_field_exact": 2.5,
   "E_body_mu+0.75": 3.2677780330818718,
   "E_body_exact_mu+0.75": 3.267777025021477,
   "cost_mu+0.75": 0.767777450557122,
   "cost_exact_mu+0.75": 0.767777025021477,
   "E_body_mu-0.75": 1.6567265990326818,
   "E_body_exact_mu-0.75": 1.656726183178957,
   "cost_mu-0.75": -0.843273983492068,
   "cost_exact_mu-0.75": -0.843273816821043
  },
  {
   "M": 16,
   "E_field": 2.5000000026020883,
   "E_field_exact": 2.5,
   "E_body_mu+0.75": 3.2677770309007657,
   "E_body_exact_mu+0.75": 3.267777025021477,
   "cost_mu+0.75": 0.7677770282986773,
   "cost_exact_mu+0.75": 0.767777025021477,
   "E_body_mu-0.75": 1.6567261849604664,
   "E_body_exact_mu-0.75": 1.656726183178957,
   "cost_mu-0.75": -0.8432738176416219,
   "cost_exact_mu-0.75": -0.843273816821043
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ring,40,square+square,"(0, 1)(0, 1)",2,8,-0.0579822588057,1.045,0.0363461563664,1.0899673822,1.0899673822,-0.0579822588057,-0.0577707526493,-0.000211506156409,0.5,1.0899673822,1.09039105584,1.045,1.0899673822,1.09039105584,1.045,1.11022302463e-13,-0.000423673643431,1.11022302463e-13,-0.000423673643431
ring,40,square+square,"(0, 1)(0, 1)",2,12,-0.0579822588057,1.045,0.0363461563664,1.0899673822,1.0899673822,-0.0579822588057,-0.0577707526493,-0.000211506156409,0.5,1.0899673822,1.09039105584,1.045,1.0899673822,1.09039105584,1.045,1.12798659302e-13,-0.000423673643429,1.12798659302e-13,-0.000423673643429
ring,40,square+square,"(0, 1)(0, 1)",4,4,-0.032805725039,1.18405,0.0159925711997,1.23761462991,1.23761462991,-0.032805725039,-0.0327552348264,-5.04902126173e-05,0.5,1.23761462991,1.23774081874,1.18405,1.23761462991,1.23774081874,1.18405,2.3758772727e-13,-0.000126188834092,2.3758772727e-13,-0.000126188834092
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ring,40,square+square,"(1, -1)(1, -1)",2,4,-0.361375437432,1.045,0.0363461563664,1.09116431841,1.09116431841,-0.361375437432,-0.360452614681,-0.000922822751569,0.5,1.09116431841,1.09039105584,1.045,1.09116431841,1.09039105584,1.045,4.13002965161e-14,0.000773262571629,4.13002965161e-14,0.000773262571629
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ring,40,square+square,"(1, -1)(1, -1)",4,4,-0.183123925773,1.18405,0.0159925711997,1.23798424027,1.23798424027,-0.183123925773,-0.18289669107,-0.000227234703199,0.5,1.23798424027,1.23774081874,1.18405,1.23798424027,1.23774081874,1.18405,7.17204073908e-14,0.000243421527048,7.17204073908e-14,0.000243421527048
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ring,80,linear+linear,"(1, -1)(1, -1)",2,4,-0.18358315494,1.045,0.0363463403641,5.05342810299e-16,5.05342810299e-16,-0.18358315494,-0.18358315494,0,0.5,-0,0,-0,-0,0,-0,5.05342810299e-16,5.05342810299e-16,5.05342810299e-16,5.05342810299e-16
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ring,80,linear+linear,"(0, 1)(1, 1)",2,4,-0.12238876996,1.045,0.0363463403641,4.62655160796e-20,4.62655160796e-20,-0.12238876996,-0.12238876996,0,0.5,-0,0,-0,-0,0,-0,4.62655160796e-20,4.62655160796e-20,4.62655160796e-20,4.62655160796e-20
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ring,80,square+square_b02,"(0, 1)(1, 1)",2,12,-0.061087079777,1.045,0.0363463403641,0.968657021699,1.4168603278,-0.061087079777,-0.0609407846636,-0.000146295113462,0.507155447598,0.968657021698,0.962485171883,0.921416168391,1.4168603278,1.40783272675,1.38212425259,6.76680933509e-13,0.00617184981586,2.49200660107e-12,0.0090276010588
ring,80,square+square_b02,"(0, 1)(1, 1)",4,4,-0.034446430658,1.18405,0.0159925411218,1.14820233444,1.67948231367,-0.0344464306581,-0.0344114265192,-3.50041388995e-05,0.503824333937,1.14820233444,1.14246330052,1.09238190647,1.67948231367,1.67108779497,1.6385728597,1.12931886065e-12,0.00573903392111,3.43458594898e-12,0.00839451870199
ring,80,square+square_b02,"(0, 1)(1, 1)",4,8,-0.034446430658,1.18405,0.0159925411218,1.14821356834,1.67949874557,-0.0344464306581,-0.0344114265192,-3.50041388995e-05,0.503824333937,1.14821356834,1.14247412125,1.09239225286,1.67949874557,1.67110362252,1.63858837929,1.13664633261e-12,0.00573944709482,3.44391182239e-12,0.00839512305361
ring,80,square+square_b02,"(0, 1)(1, 1)",4,12,-0.034446430658,1.18405,0.0159925411218,1.14825070826,1.67955307035,-0.0344464306581,-0.0344114265192,-3.50041388995e-05,0.503824333937,1.14825070826,1.14250989519,1.0924264586,1.67955307035,1.67115594927,1.6386396879,1.16129328376e-12,0.00574081306998,3.47988304839e-12,0.00839712107351
ring,80,square+square_b02,"(0, 1)(0, -1)",2,4,0.0509585821418,1.045,0.0363463403641,0.939027656703,1.37352128121,0.0509585821418,0.0508470001037,0.000111582038063,0.473741981926,0.939027656703,0.962462904947,0.921394851579,1.37352128121,1.40780015677,1.38209227737,-5.42899059042e-14,-0.0234352482443,1.37845290737e-12,-0.0342788755611
ring,80,square+square_b02,"(0, 1)(0, -1)",2,8,0.0509585821418,1.045,0.0363463403641,0.939031469904,1.3735268588,0.0509585821418,0.0508470001037,0.000111582038063,0.473741981926,0.939031469904,0.962468076022,0.921399802006,1.3735268588,1.40780772053,1.38209970301,-5.88418203051e-14,-0.0234366061182,1.37090339081e-12,-0.0342808617313
ring,80,square+square_b02,"(0, 1)(0, -1)",2,12,0.0509585821418,1.045,0.0363463403641,0.939044076558,1.37354529863,0.0509585821418,0.0508470001037,0.000111582038063,0.473741981926,0.939044076558,0.962485171883,0.921416168391,1.37354529862,1.40783272675,1.38212425259,-5.56221735337e-14,-0.0234410953246,1.3751222383e-12,-0.0342874281198
ring,80,square+square_b02,"(0, 1)(0, -1)",4,4,0.0279802258917,1.18405,0.0159925411218,1.12048144893,1.63893481126,0.0279802258917,0.027953284721,2.69411706833e-05,0.485521955691,1.12048144893,1.14246330052,1.09238190647,1.63893481126,1.67108779497,1.6385728597,-1.41220368732e-13,-0.0219818515846,1.5327739078e-12,-0.032152983711
ring,80,square+square_b02,"(0, 1)(0, -1)",4,8,0.0279802258917,1.18405,0.0159925411218,1.12049070299,1.63894834723,0.0279802258917,0.027953284721,2.69411706833e-05,0.485521955691,1.12049070299,1.14247412125,1.09239225286,1.63894834723,1.67110362252,1.63858837929,-1.55209178843e-13,-0.0219834182543,1.51123558112e-12,-0.032155275288
ring,80,square+square_b02,"(0, 1)(0, -1)",4,12,0.0279802258917,1.18405,0.0159925411218,1.12052129744,1.63899309791,0.0279802258917,0.027953284721,2.69411706833e-05,0.485521955691,1.12052129744,1.14250989519,1.0924264586,1.63899309791,1.67115594927,1.6386396879,-1.18349774425e-13,-0.0219885977511,1.56497037551e-12,-0.0321628513683
ring,80,square+generic,"(0, 1)(0, 1)",2,4,-0.0524642785065,1.045,0.0363463403641,1.34256720253,1.38262308534,-0.0524642785065,-0.0521354852914,-0.000328793215124,0.485408186363,1.34256720253,1.34541468806,1.29221029684,1.38262308525,1.38555552635,1.29221029684,9.22817378068e-13,-0.00284748553699,9.23094933825e-11,-0.00293244100429
ring,80,square+generic,"(0, 1)(0, 1)",2,8,-0.0524642785065,1.045,0.0363463403641,1.34255570044,1.38261124009,-0.0524642785065,-0.0521354852914,-0.000328793215124,0.485408186363,1.34255570044,1.34540437956,1.29220039599,1.38261124,1.38554491029,1.29220039599,9.39248678833e-13,-0.00284867911902,9.23252585494e-11,-0.00293367019719
ring,80,square+generic,"(0, 1)(0, 1)",2,12,-0.0524642785065,1.045,0.0363463403641,1.34251767391,1.38257207903,-0.0524642785065,-0.0521354852914,-0.000328793215124,0.485408186363,1.34251767391,1.34537029908,1.29216766322,1.38257207894,1.385509813,1.29216766322,9.56790202622e-13,-0.00285262516733,9.23403575825e-11,-0.002937733977
ring,80,square+generic,"(0, 1)(0, 1)",4,4,-0.0298982619486,1.18405,0.0159925411218,1.42048155643,1.46286203665,-0.0298982619486,-0.0298201183391,-7.81436095297e-05,0.492323623454,1.42048155643,1.42802201804,1.36738618706,1.46286203655,1.47062747002,1.36738618706,1.56297197407e-12,-0.00754046160447,9.82711689801e-11,-0.00776543337152
ring,80,square+generic,"(0, 1)(0, 1)",4,8,-0.0298982619486,1.18405,0.0159925411218,1.42045862399,1.46283842001,-0.0298982619486,-0.0298201183391,-7.81436095297e-05,0.492323623454,1.42045862399,1.42800040764,1.36736549428,1.46283841992,1.47060521487,1.36736549428,1.56030743881e-12,-0.00754178365038,9.8265617865e-11,-0.00776679486106
ring,80,square+generic,"(0, 1)(0, 1)",4,12,-0.0298982619486,1.18405,0.0159925411218,1.42038280809,1.46276034212,-0.0298982619486,-0.0298201183391,-7.81436095297e-05,0.492323623454,1.42038280809,1.4279289625,1.36729708279,1.46276034202,1.47053163814,1.36729708279,1.58584256837e-12,-0.00754615440732,9.8286934147e-11,-0.0077712960208
ring,80,square+generic,"(1, -1)(1, -1)",2,4,-0.487684564162,1.045,0.0363463403641,1.34924409276,1.38949918254,-0.487684564162,-0.485837791775,-0.00184677238742,0.513803682902,1.34924409276,1.34541468806,1.29221029684,1.38949918244,1.38555552635,1.29221029684,4.52082815627e-13,0.00382940469544,9.22792953162e-11,0.00394365618942
ring,80,square+generic,"(1, -1)(1, -1)",2,8,-0.487684564162,1.045,0.0363463403641,1.34923490754,1.38948972327,-0.487684564162,-0.485837791775,-0.00184677238742,0.513803682902,1.34923490754,1.34540437956,1.29220039599,1.38948972318,1.38554491029,1.29220039599,4.48308057344e-13,0.00383052797769,9.22739662457e-11,0.00394481298511
ring,80,square+generic,"(1, -1)(1, -1)",2,12,-0.487684564162,1.045,0.0363463403641,1.34920454069,1.38945845042,-0.487684564162,-0.485837791775,-0.00184677238742,0.513803682902,1.34920454069,1.34537029908,1.29216766322,1.38945845033,1.385509813,1.29216766322,4.61186644429e-13,0.00383424161099,9.22850684759e-11,0.00394863741573
ring,80,square+generic,"(1, -1)(1, -1)",4,4,-0.236470608497,1.18405,0.0159925411218,1.43648893843,1.47934700354,-0.236470608497,-0.236014250309,-0.00045635818744,0.508285846795,1.43648893843,1.42802201804,1.36738618706,1.47934700344,1.47062747002,1.36738618706,5.86641846212e-13,0.00846692039522,9.83548797961e-11,0.00871953352399
ring,80,square+generic,"(1, -1)(1, -1)",4,8,-0.236470608497,1.18405,0.0159925411218,1.43646875115,1.47932621397,-0.236470608497,-0.236014250309,-0.00045635818744,0.508285846795,1.43646875115,1.42800040764,1.36736549428,1.47932621387,1.47060521487,1.36736549428,5.80424597274e-13,0.00846834350814,9.83462200566e-11,0.0087209990959
ring,80,square+generic,"(1, -1)(1, -1)",4,12,-0.236470608497,1.18405,0.0159925411218,1.43640201089,1.4792574825,-0.236470608497,-0.236014250309,-0.00045635818744,0.508285846795,1.43640201089,1.4279289625,1.36729708279,1.4792574824,1.47053163814,1.36729708279,6.12843109593e-13,0.0084730483983,9.83750858552e-11,0.00872584435781
ring,80,square+generic,"(0, 1)(1, 1)",2,4,-0.0708720695989,1.045,0.0363463403641,1.34311336018,1.38318553777,-0.0708720695989,-0.0704169626322,-0.000455106966648,0.491870358399,1.34311336018,1.34541468806,1.29221029684,1.38318553768,1.38555552635,1.29221029684,7.39630579005e-13,-0.00230132787983,9.21582810065e-11,-0.00236998857464
ring,80,square+generic,"(0, 1)(1, 1)",2,8,-0.0708720695989,1.045,0.0363463403641,1.34310239228,1.38317424263,-0.0708720695989,-0.0704169626322,-0.000455106966648,0.491870358399,1.34310239228,1.34540437956,1.29220039599,1.38317424254,1.38554491029,1.29220039599,7.3985262361e-13,-0.002301987286,9.21569487389e-11,-0.00237066765439
ring,80,square+generic,"(0, 1)(1, 1)",2,12,-0.0708720695989,1.045,0.0363463403641,1.34306613176,1.38313690027,-0.0708720695989,-0.0704169626322,-0.000455106966648,0.491870358399,1.34306613176,1.34537029908,1.29216766322,1.38313690018,1.385509813,1.29216766322,7.5472961214e-13,-0.0023041673193,9.2169827326e-11,-0.00237291272961
ring,80,square+generic,"(0, 1)(1, 1)",4,4,-0.0405576438142,1.18405,0.0159925411218,1.42364865608,1.46612362763,-0.0405576438143,-0.0404499997863,-0.000107644027934,0.495750019813,1.42364865607,1.42802201804,1.36738618706,1.46612362753,1.47062747002,1.36738618706,7.40518757425e-13,-0.00437336196076,9.76394520791e-11,-0.00450384238916
ring,80,square+generic,"(0, 1)(1, 1)",4,8,-0.0405576438142,1.18405,0.0159925411218,1.42362631678,1.46610062183,-0.0405576438143,-0.0404499997863,-0.000107644027934,0.495750019813,1.42362631678,1.42800040764,1.36736549428,1.46610062174,1.47060521487,1.36736549428,7.52953255301e-13,-0.00437409086546,9.76501102201e-11,-0.00450459304094
ring,80,square+generic,"(0, 1)(1, 1)",4,12,-0.0405576438142,1.18405,0.0159925411218,1.42355246183,1.4660245634,-0.0405576438143,-0.0404499997863,-0.000107644027934,0.495750019813,1.42355246183,1.4279289625,1.36729708279,1.4660245633,1.47053163814,1.36729708279,7.72271135929e-13,-0.00437650066477,9.7664765164e-11,-0.00450707473732
ring,80,square+generic,"(0, 1)(0, -1)",2,4,0.093223513504,1.045,0.0363463403641,1.33885193652,1.37879697329,0.093223513504,0.0927250570787,0.000498456425248,0.443011384886,1.33885193652,1.34541468806,1.29221029684,1.3787969732,1.38555552635,1.29221029684,1.57207580287e-13,-0.00656275154911,9.12681041854e-11,-0.00675855305803
ring,80,square+generic,"(0, 1)(0, -1)",2,8,0.093223513504,1.045,0.0363463403641,1.33883692714,1.3787815161,0.093223513504,0.0927250570787,0.000498456425248,0.443011384886,1.33883692714,1.34540437956,1.29220039599,1.37878151601,1.38554491029,1.29220039599,1.51878509769e-13,-0.0065674524267,9.12614428472e-11,-0.00676339418766
ring,80,square+generic,"(0, 1)(0, -1)",2,12,0.093223513504,1.045,0.0363463403641,1.33878730529,1.37873041377,0.093223513504,0.0927250570787,0.000498456425248,0.443011384886,1.33878730529,1.34537029908,1.29216766322,1.37873041368,1.385509813,1.29216766322,1.6275869541e-13,-0.0065829937882,9.12689923638e-11,-0.00677939923021
ring,80,square+generic,"(0, 1)(0, -1)",4,4,0.051695500176,1.18405,0.0159925411218,1.39862975878,1.44035828425,0.0516955001759,0.0515736045814,0.000121895594578,0.468725173356,1.39862975878,1.42802201804,1.36738618706,1.44035828416,1.47062747002,1.36738618706,-1.85629289717e-13,-0.0293922592602,9.49831324704e-11,-0.0302691857633
ring,80,square+generic,"(0, 1)(0, -1)",4,8,0.051695500176,1.18405,0.0159925411218,1.39860274054,1.44033045992,0.0516955001759,0.0515736045814,0.000121895594578,0.468725173356,1.39860274054,1.42800040764,1.36736549428,1.44033045983,1.47060521487,1.36736549428,-1.90292226421e-13,-0.029397667103,9.4976027043e-11,-0.0302747549507
ring,80,square+generic,"(0, 1)(0, -1)",4,12,0.051695500176,1.18405,0.0159925411218,1.39851341676,1.44023847115,0.0516955001759,0.0515736045814,0.000121895594578,0.468725173356,1.39851341676,1.4279289625,1.36729708279,1.44023847105,1.47053163814,1.36729708279,-1.51656465164e-13,-0.0294155457307,9.50091116891e-11,-0.0302931669925
cubic,8,square+square,"(0, 1)(0, 1)",2,1,-0.00306716266437,0.512356520282,0.00190430718275,0.522621617718,0.522621617718,-0.00306716266436,-0.00306663381848,-5.2884588492e-07,0.5,0.522621617715,0.52262217366,0.512356520282,0.522621617715,0.52262217366,0.512356520282,3.01247915502e-12,-5.559427948e-07,3.01247915502e-12,-5.559427948e-07
cubic,8,square+square,"(0, 1)(0, 1)",2,2,-0.00306716266437,0.691013703425,0.00190430718275,0.704858209573,0.704858209573,-0.00306716266436,-0.00306663381848,-5.2884588492e-07,0.5,0.704858209569,0.704858959372,0.691013703425,0.704858209569,0.704858959372,0.691013703425,4.27136104264e-12,-7.49798172883e-07,4.27136104264e-12,-7.49798172883e-07
cubic,8,square+square,"(0, 1)(0, 1)",2,3,-0.00306716266437,0.785071515391,0.00190430718275,0.800800476146,0.800800476146,-0.00306716266436,-0.00306663381848,-5.2884588492e-07,0.5,0.800800476141,0.800801328003,0.785071515391,0.800800476141,0.800801328003,0.785071515391,4.77595740733e-12,-8.51857550721e-07,4.77595740733e-12,-8.51857550721e-07
cubic,8,square+square,"(0, 1)(0, 1)",4,1,-0.00181884682081,0.22766241425,0.000739061403917,0.232248194324,0.232248194324,-0.0018188468208,-0.00181872544815,-1.21372649463e-07,0.5,0.232248194324,0.232248245294,0.22766241425,0.232248194324,0.232248245294,0.22766241425,-1.06969988423e-13,-5.09699282225e-08,-1.06969988423e-13,-5.09699282225e-08
cubic,8,square+square,"(0, 1)(0, 1)",4,2,-0.00181884682081,0.365415885529,0.000739061403917,0.372776419293,0.372776419293,-0.0018188468208,-0.00181872544815,-1.21372649463e-07,0.5,0.372776419293,0.372776501103,0.365415885529,0.372776419293,0.372776501103,0.365415885529,-8.55981951986e-14,-8.18106137834e-08,-8.55981951986e-14,-8.18106137834e-08
cubic,8,square+square,"(0, 1)(0, 1)",4,3,-0.00181884682081,0.43740556959,0.000739061403917,0.44621618399,0.44621618399,-0.0018188468208,-0.00181872544815,-1.21372649463e-07,0.5,0.44621618399,0.446216281918,0.43740556959,0.44621618399,0.446216281918,0.43740556959,-1.76192394008e-13,-9.79279950464e-08,-1.76192394008e-13,-9.79279950464e-08
cubic,8,square+square,"(1, -1)(1, -1)",2,1,-0.00774985198177,0.512356520282,0.00190430718275,0.522623042969,0.522623042969,-0.00774985198174,-0.00774853686902,-1.31511272381e-06,0.5,0.522623042968,0.52262217366,0.512356520282,0.522623042968,0.52262217366,0.512356520282,1.44950718095e-12,8.69308905527e-07,1.44950718095e-12,8.69308905527e-07
cubic,8,square+square,"(1, -1)(1, -1)",2,2,-0.00774985198177,0.691013703425,0.00190430718275,0.704860131806,0.704860131806,-0.00774985198174,-0.00774853686902,-1.31511272381e-06,0.5,0.704860131804,0.704858959372,0.691013703425,0.704860131804,0.704858959372,0.691013703425,2.06545891501e-12,1.17243442621e-06,2.06545891501e-12,1.17243442621e-06
cubic,8,square+square,"(1, -1)(1, -1)",2,3,-0.00774985198177,0.785071515391,0.00190430718275,0.800802660024,0.800802660024,-0.00774985198174,-0.00774853686902,-1.31511272381e-06,0.5,0.800802660022,0.800801328003,0.785071515391,0.800802660022,0.800801328003,0.785071515391,2.340017069e-12,1.33202114894e-06,2.340017069e-12,1.33202114894e-06
cubic,8,square+square,"(1, -1)(1, -1)",4,1,-0.00458051599446,0.22766241425,0.000739061403917,0.2322483255,0.2322483255,-0.0045805159945,-0.00458021292102,-3.03073477811e-07,0.5,0.232248325497,0.232248245294,0.22766241425,0.232248325497,0.232248245294,0.22766241425,3.48443496279e-12,8.02060675098e-08,3.48443496279e-12,8.02060675098e-08
cubic,8,square+square,"(1, -1)(1, -1)",4,2,-0.00458051599446,0.365415885529,0.000739061403917,0.372776629841,0.372776629841,-0.0045805159945,-0.00458021292102,-3.03073477811e-07,0.5,0.372776629835,0.372776501103,0.365415885529,0.372776629835,0.372776501103,0.365415885529,6.04699623707e-12,1.28737432104e-07,6.04699623707e-12,1.28737432104e-07
cubic,8,square+square,"(1, -1)(1, -1)",4,3,-0.00458051599446,0.43740556959,0.000739061403917,0.446216436017,0.446216436017,-0.0045805159945,-0.00458021292102,-3.03073477811e-07,0.5,0.446216436011,0.446216281918,0.43740556959,0.446216436011,0.446216281918,0.43740556959,6.59305943174e-12,1.54099031535e-07,6.59305943174e-12,1.54099031535e-07
cubic,8,square+square,"(0, 1)(1, 1)",2,1,-0.00454947978562,0.512356520282,0.00190430718275,0.522621482182,0.522621482182,-0.0045494797856,-0.00454869417621,-7.85609384671e-07,0.500382028849,0.522621482181,0.52262217366,0.512356520282,0.522621482181,0.52262217366,0.512356520282,3.59490215374e-13,-6.91478591386e-07,3.59490215374e-13,-6.91478591386e-07
cubic,8,square+square,"(0, 1)(1, 1)",2,2,-0.00454947978562,0.691013703425,0.00190430718275,0.704858026776,0.704858026776,-0.0045494797856,-0.00454869417621,-7.85609384671e-07,0.500382028849,0.704858026776,0.704858959372,0.691013703425,0.704858026776,0.704858959372,0.691013703425,1.99951166735e-13,-9.32595388803e-07,1.99951166735e-13,-9.32595388803e-07
cubic,8,square+square,"(0, 1)(1, 1)",2,3,-0.00454947978562,0.785071515391,0.00190430718275,0.800800268467,0.800800268467,-0.0045494797856,-0.00454869417621,-7.85609384671e-07,0.500382028849,0.800800268467,0.800801328003,0.785071515391,0.800800268467,0.800801328003,0.785071515391,1.44328993201e-13,-1.05953634311e-06,1.44328993201e-13,-1.05953634311e-06
cubic,8,square+square,"(0, 1)(1, 1)",4,1,-0.00269870324178,0.22766241425,0.000739061403917,0.232248181938,0.232248181938,-0.00269870324174,-0.00269852301189,-1.80229854104e-07,0.500225919201,0.232248181939,0.232248245294,0.22766241425,0.232248181939,0.232248245294,0.22766241425,-1.53746460008e-12,-6.3356221075e-08,-1.53746460008e-12,-6.3356221075e-08
cubic,8,square+square,"(0, 1)(1, 1)",4,2,-0.00269870324178,0.365415885529,0.000739061403917,0.372776399412,0.372776399412,-0.00269870324174,-0.00269852301189,-1.80229854104e-07,0.500225919201,0.372776399414,0.372776501103,0.365415885529,0.372776399414,0.372776501103,0.365415885529,-2.17176276962e-12,-1.01691367438e-07,-2.17176276962e-12,-1.01691367438e-07
cubic,8,square+square,"(0, 1)(1, 1)",4,3,-0.00269870324178,0.43740556959,0.000739061403917,0.446216160192,0.446216160192,-0.00269870324174,-0.00269852301189,-1.80229854104e-07,0.500225919201,0.446216160196,0.446216281918,0.43740556959,0.446216160196,0.446216281918,0.43740556959,-3.05239167275e-12,-1.21725786173e-07,-3.05239167275e-12,-1.21725786173e-07
cubic,8,square+square,"(0, 1)(0, -1)",2,1,0.00321189184308,0.512356520282,0.00190430718275,0.522622184629,0.522622184629,0.00321189184323,0.0032113415262,5.50317032241e-07,0.498394533892,0.5226221846,0.52262217366,0.512356520282,0.5226221846,0.52262217366,0.512356520282,2.86307644259e-11,1.09685736049e-08,2.86307644259e-11,1.09685736049e-08
cubic,8,square+square,"(0, 1)(0, -1)",2,2,0.00321189184308,0.691013703425,0.00190430718275,0.704858974165,0.704858974165,0.00321189184323,0.0032113415262,5.50317032241e-07,0.498394533892,0.704858974126,0.704858959372,0.691013703425,0.704858974126,0.704858959372,0.691013703425,3.84375864471e-11,1.47931056294e-08,3.84375864471e-11,1.47931056294e-08
cubic,8,square+square,"(0, 1)(0, -1)",2,3,0.00321189184308,0.785071515391,0.00190430718275,0.800801344811,0.800801344811,0.00321189184323,0.0032113415262,5.50317032241e-07,0.498394533892,0.800801344766,0.800801328003,0.785071515391,0.800801344766,0.800801328003,0.785071515391,4.44649872477e-11,1.68074749674e-08,4.44649872477e-11,1.68074749674e-08
cubic,8,square+square,"(0, 1)(0, -1)",4,1,0.00190220071545,0.22766241425,0.000739061403917,0.232248246355,0.232248246355,0.00190220071548,0.00190207420666,1.26508821339e-07,0.499049037065,0.23224824635,0.232248245294,0.22766241425,0.23224824635,0.232248245294,0.22766241425,5.40642530744e-12,1.06099629082e-09,5.40642530744e-12,1.06099629082e-09
cubic,8,square+square,"(0, 1)(0, -1)",4,2,0.00190220071545,0.365415885529,0.000739061403917,0.372776502806,0.372776502806,0.00190220071548,0.00190207420666,1.26508821339e-07,0.499049037065,0.372776502798,0.372776501103,0.365415885529,0.372776502798,0.372776501103,0.365415885529,8.88328299808e-12,1.70318714687e-09,8.88328299808e-12,1.70318714687e-09
cubic,8,square+square,"(0, 1)(0, -1)",4,3,0.00190220071545,0.43740556959,0.000739061403917,0.446216283957,0.446216283957,0.00190220071548,0.00190207420666,1.26508821339e-07,0.499049037065,0.446216283946,0.446216281918,0.43740556959,0.446216283946,0.446216281918,0.43740556959,1.09338094134e-11,2.03902827955e-09,1.09338094134e-11,2.03902827955e-09
cubic,8,generic+generic,"(0, 1)(0, 1)",2,1,-0.00297795933375,0.512356520282,0.00190430718275,0.88226771956,0.88226771956,-0.00297795933378,-0.00297652777372,-1.43156006246e-06,0.5,0.88226771955,0.882272016688,0.853927533803,0.88226771955,0.882272016688,0.853927533803,1.00172092843e-11,-4.29712746419e-06,1.00172092843e-11,-4.29712746419e-06
cubic,8,generic+generic,"(0, 1)(0, 1)",2,2,-0.00297795933375,0.691013703425,0.00190430718275,1.18991182931,1.18991182931,-0.00297795933378,-0.00297652777372,-1.43156006246e-06,0.5,1.18991182929,1.18991762483,1.15168950571,1.18991182929,1.18991762483,1.15168950571,1.35842448401e-11,-5.79552285918e-06,1.35842448401e-11,-5.79552285918e-06
cubic,8,generic+generic,"(0, 1)(0, 1)",2,3,-0.00297795933375,0.785071515391,0.00190430718275,1.35187750747,1.35187750747,-0.00297795933378,-0.00297652777372,-1.43156006246e-06,0.5,1.35187750746,1.35188409186,1.30845252565,1.35187750746,1.35188409186,1.30845252565,1.54265489272e-11,-6.58438450007e-06,1.54265489272e-11,-6.58438450007e-06
cubic,8,generic+generic,"(0, 1)(0, 1)",4,1,-0.00176706115235,0.22766241425,0.000739061403917,0.392145839543,0.392145839543,-0.00176706115228,-0.00176673294816,-3.28204122593e-07,0.5,0.392145839559,0.392146233043,0.379437357083,0.392145839559,0.392146233043,0.379437357083,-1.56313295641e-11,-3.93499640039e-07,-1.56313295641e-11,-3.93499640039e-07
cubic,8,generic+generic,"(0, 1)(0, 1)",4,2,-0.00176706115235,0.365415885529,0.000739061403917,0.629424578868,0.629424578868,-0.00176706115228,-0.00176673294816,-3.28204122593e-07,0.5,0.629424578893,0.629425210466,0.609026475882,0.629424578893,0.629425210466,0.609026475882,-2.4590551817e-11,-6.31597034562e-07,-2.4590551817e-11,-6.31597034562e-07
cubic,8,generic+generic,"(0, 1)(0, 1)",4,3,-0.00176706115235,0.43740556959,0.000739061403917,0.753425965692,0.753425965692,-0.00176706115228,-0.00176673294816,-3.28204122593e-07,0.5,0.753425965721,0.753426721718,0.729009282649,0.753425965721,0.753426721718,0.729009282649,-2.83298939863e-11,-7.56025306803e-07,-2.83298939863e-11,-7.56025306803e-07
cubic,8,generic+generic,"(1, -1)(1, -1)",2,1,-0.00813626588308,0.512356520282,0.00190430718275,0.882278926318,0.882278926318,-0.00813626588293,-0.00813245792883,-3.80795410567e-06,0.5,0.882278926335,0.882272016688,0.853927533803,0.882278926335,0.882272016688,0.853927533803,-1.68353109231e-11,6.90963091299e-06,-1.68353109231e-11,6.90963091299e-06
cubic,8,generic+generic,"(1, -1)(1, -1)",2,2,-0.00813626588308,0.691013703425,0.00190430718275,1.18992694383,1.18992694383,-0.00813626588293,-0.00813245792883,-3.80795410567e-06,0.5,1.18992694385,1.18991762483,1.15168950571,1.18992694385,1.18991762483,1.15168950571,-2.28947971692e-11,9.31899831569e-06,-2.28947971692e-11,9.31899831569e-06
cubic,8,generic+generic,"(1, -1)(1, -1)",2,3,-0.00813626588308,0.785071515391,0.00190430718275,1.35189467932,1.35189467932,-0.00813626588293,-0.00813245792883,-3.80795410567e-06,0.5,1.35189467934,1.35188409186,1.30845252565,1.35189467934,1.35188409186,1.30845252565,-2.60824695175e-11,1.05874601966e-05,-2.60824695175e-11,1.05874601966e-05
cubic,8,generic+generic,"(1, -1)(1, -1)",4,1,-0.00480109330886,0.22766241425,0.000739061403917,0.392146872456,0.392146872456,-0.00480109330883,-0.00480021422402,-8.79084812792e-07,0.5,0.392146872459,0.392146233043,0.379437357083,0.392146872459,0.392146233043,0.379437357083,-2.80819811849e-12,6.39413714143e-07,-2.80819811849e-12,6.39413714143e-07
cubic,8,generic+generic,"(1, -1)(1, -1)",4,2,-0.00480109330886,0.365415885529,0.000739061403917,0.629426236774,0.629426236774,-0.00480109330883,-0.00480021422402,-8.79084812792e-07,0.5,0.629426236779,0.629425210466,0.609026475882,0.629426236779,0.629425210466,0.609026475882,-4.72688554964e-12,1.02630853416e-06,-4.72688554964e-12,1.02630853416e-06
cubic,8,generic+generic,"(1, -1)(1, -1)",4,3,-0.00480109330886,0.43740556959,0.000739061403917,0.753427950217,0.753427950217,-0.00480109330883,-0.00480021422402,-8.79084812792e-07,0.5,0.753427950222,0.753426721718,0.729009282649,0.753427950222,0.753426721718,0.729009282649,-5.39090994067e-12,1.22849931905e-06,-5.39090994067e-12,1.22849931905e-06
cubic,8,generic+generic,"(0, 1)(1, 1)",2,1,-0.00438579808565,0.512356520282,0.00190430718275,0.882266688965,0.882266688965,-0.00438579808555,-0.00438368463087,-2.11345468465e-06,0.500616677423,0.882266688985,0.882272016688,0.853927533803,0.882266688985,0.882272016688,0.853927533803,-2.02851069275e-11,-5.32772256157e-06,-2.02851069275e-11,-5.32772256157e-06
cubic,8,generic+generic,"(0, 1)(1, 1)",2,2,-0.00438579808565,0.691013703425,0.00190430718275,1.18991043935,1.18991043935,-0.00438579808555,-0.00438368463087,-2.11345468465e-06,0.500616677423,1.18991043937,1.18991762483,1.15168950571,1.18991043937,1.18991762483,1.15168950571,-2.73758793412e-11,-7.18548346978e-06,-2.73758793412e-11,-7.18548346978e-06
cubic,8,generic+generic,"(0, 1)(1, 1)",2,3,-0.00438579808565,0.785071515391,0.00190430718275,1.35187592832,1.35187592832,-0.00438579808555,-0.00438368463087,-2.11345468465e-06,0.500616677423,1.35187592835,1.35188409186,1.30845252565,1.35187592835,1.35188409186,1.30845252565,-3.11981551704e-11,-8.16354065747e-06,-3.11981551704e-11,-8.16354065747e-06
cubic,8,generic+generic,"(0, 1)(1, 1)",4,1,-0.00260373311426,0.22766241425,0.000739061403917,0.392145745718,0.392145745718,-0.00260373311436,-0.00260324888838,-4.84225984035e-07,0.500364309985,0.392145745703,0.392146233043,0.379437357083,0.392145745703,0.392146233043,0.379437357083,1.54560808596e-11,-4.87324299192e-07,1.54560808596e-11,-4.87324299192e-07
cubic,8,generic+generic,"(0, 1)(1, 1)",4,2,-0.00260373311426,0.365415885529,0.000739061403917,0.629424428272,0.629424428272,-0.00260373311436,-0.00260324888838,-4.84225984035e-07,0.500364309985,0.629424428247,0.629425210466,0.609026475882,0.629424428247,0.629425210466,0.609026475882,2.51647591654e-11,-7.82193053994e-07,2.51647591654e-11,-7.82193053994e-07
cubic,8,generic+generic,"(0, 1)(1, 1)",4,3,-0.00260373311426,0.43740556959,0.000739061403917,0.753425785427,0.753425785427,-0.00260373311436,-0.00260324888838,-4.84225984035e-07,0.500364309985,0.753425785396,0.753426721718,0.729009282649,0.753425785396,0.753426721718,0.729009282649,3.02109448569e-11,-9.36290893705e-07,3.02109448569e-11,-9.36290893705e-07
cubic,8,generic+generic,"(0, 1)(0, -1)",2,1,0.00321583720063,0.512356520282,0.00190430718275,0.882272159221,0.882272159221,0.0032158372006,0.00321430746296,1.52973763591e-06,0.497322359405,0.88227215923,0.882272016688,0.853927533803,0.88227215923,0.882272016688,0.853927533803,-9.31810184568e-12,1.42533498781e-07,-9.31810184568e-12,1.42533498781e-07
cubic,8,generic+generic,"(0, 1)(0, -1)",2,2,0.00321583720063,0.691013703425,0.00190430718275,1.18991781706,1.18991781706,0.0032158372006,0.00321430746296,1.52973763591e-06,0.497322359405,1.18991781708,1.18991762483,1.15168950571,1.18991781708,1.18991762483,1.15168950571,-1.22977183992e-11,1.92234771879e-07,-1.22977183992e-11,1.92234771879e-07
cubic,8,generic+generic,"(0, 1)(0, -1)",2,3,0.00321583720063,0.785071515391,0.00190430718275,1.35188431026,1.35188431026,0.0032158372006,0.00321430746296,1.52973763591e-06,0.497322359405,1.35188431027,1.35188409186,1.30845252565,1.35188431027,1.35188409186,1.30845252565,-1.38833389229e-11,2.18401030372e-07,-1.38833389229e-11,2.18401030372e-07
cubic,8,generic+generic,"(0, 1)(0, -1)",4,1,0.00190411012659,0.22766241425,0.000739061403917,0.392146246842,0.392146246842,0.00190411012678,0.00190375844499,3.51681781584e-07,0.498413878548,0.392146246803,0.392146233043,0.379437357083,0.392146246803,0.392146233043,0.379437357083,3.84371423579e-11,1.37989433213e-08,3.84371423579e-11,1.37989433213e-08
cubic,8,generic+generic,"(0, 1)(0, -1)",4,2,0.00190411012659,0.365415885529,0.000739061403917,0.629425232613,0.629425232613,0.00190411012678,0.00190375844499,3.51681781584e-07,0.498413878548,0.629425232552,0.629425210466,0.609026475882,0.629425232552,0.629425210466,0.609026475882,6.12406791944e-11,2.21479240503e-08,6.12406791944e-11,2.21479240503e-08
cubic,8,generic+generic,"(0, 1)(0, -1)",4,3,0.00190411012659,0.43740556959,0.000739061403917,0.753426748229,0.753426748229,0.00190411012678,0.00190375844499,3.51681781584e-07,0.498413878548,0.753426748155,0.753426721718,0.729009282649,0.753426748155,0.753426721718,0.729009282649,7.33325622448e-11,2.65112586328e-08,7.33325622448e-11,2.65112586328e-08
cubic,8,linear+linear,"(0, 1)(0, 1)",2,1,-0.0032096755549,0.512356520282,0.00190430718275,-1.49402353973e-14,-1.49402353973e-14,-0.00320967555488,-0.00320967555488,0,0.5,-0,0,-0,-0,0,-0,-1.49402353973e-14,-1.49402353973e-14,-1.49402353973e-14,-1.49402353973e-14
cubic,8,linear+linear,"(0, 1)(0, 1)",2,2,-0.0032096755549,0.691013703425,0.00190430718275,0,0,-0.00320967555488,-0.00320967555488,0,0.5,-0,0,-0,-0,0,-0,0,0,0,0
cubic,8,linear+linear,"(0, 1)(0, 1)",2,3,-0.0032096755549,0.785071515391,0.00190430718275,0,0,-0.00320967555488,-0.00320967555488,0,0.5,-0,0,-0,-0,0,-0,0,0,0,0
cubic,8,linear+linear,"(0, 1)(0, 1)",4,1,-0.00190112812345,0.22766241425,0.000739061403917,0,0,-0.00190112812352,-0.00190112812352,0,0.5,-0,0,-0,-0,0,-0,0,0,0,0
cubic,8,linear+linear,"(0, 1)(0, 1)",4,2,-0.00190112812345,0.365415885529,0.000739061403917,0,0,-0.00190112812352,-0.00190112812352,0,0.5,-0,0,-0,-0,0,-0,0,0,0,0
cubic,8,linear+linear,"(0, 1)(0, 1)",4,3,-0.00190112812345,0.43740556959,0.000739061403917,0,0,-0.00190112812352,-0.00190112812352,0,0.5,-0,0,-0,-0,0,-0,0,0,0,0
cubic,8,linear+linear,"(1, -1)(1, -1)",2,1,-0.00722176999841,0.512356520282,0.00190430718275,0,0,-0.00722176999848,-0.00722176999848,0,0.5,-0,0,-0,-0,0,-0,0,0,0,0
cubic,8,linear+linear,"(1, -1)(1, -1)",2,2,-0.00722176999841,0.691013703425,0.00190430718275,0,0,-0.00722176999848,-0.00722176999848,0,0.5,-0,0,-0,-0,0,-0,0,0,0,0
cubic,8,linear+linear,"(1, -1)(1, -1)",2,3,-0.00722176999841,0.785071515391,0.00190430718275,4.4777294218e-14,4.4777294218e-14,-0.00722176999848,-0.00722176999848,0,0.5,-0,0,-0,-0,0,-0,4.4777294218e-14,4.4777294218e-14,4.4777294218e-14,4.4777294218e-14
cubic,8,linear+linear,"(1, -1)(1, -1)",4,1,-0.00427753827785,0.22766241425,0.000739061403917,0,0,-0.00427753827793,-0.00427753827793,0,0.5,-0,0,-0,-0,0,-0,0,0,0,0
cubic,8,linear+linear,"(1, -1)(1, -1)",4,2,-0.00427753827785,0.365415885529,0.000739061403917,0,0,-0.00427753827793,-0.00427753827793,0,0.5,-0,0,-0,-0,0,-0,0,0,0,0
cubic,8,linear+linear,"(1, -1)(1, -1)",4,3,-0.00427753827785,0.43740556959,0.000739061403917,7.55975280615e-14,7.55975280615e-14,-0.00427753827793,-0.00427753827793,0,0.5,-0,0,-0,-0,0,-0,7.55975280615e-14,7.55975280615e-14,7.55975280615e-14,7.55975280615e-14
cubic,8,linear+linear,"(0, 1)(1, 1)",2,1,-0.00481451333224,0.512356520282,0.00190430718275,4.98007846588e-15,4.98007846588e-15,-0.00481451333232,-0.00481451333232,0,0.5,-0,0,-0,-0,0,-0,4.98007846588e-15,4.98007846588e-15,4.98007846588e-15,4.98007846588e-15
cubic,8,linear+linear,"(0, 1)(1, 1)",2,2,-0.00481451333224,0.691013703425,0.00190430718275,-1.45186983813e-14,-1.45186983813e-14,-0.00481451333232,-0.00481451333232,0,0.5,-0,0,-0,-0,0,-0,-1.45186983813e-14,-1.45186983813e-14,-1.45186983813e-14,-1.45186983813e-14
cubic,8,linear+linear,"(0, 1)(1, 1)",2,3,-0.00481451333224,0.785071515391,0.00190430718275,-3.35829706638e-14,-3.35829706638e-14,-0.00481451333232,-0.00481451333232,0,0.5,-0,0,-0,-0,0,-0,-3.35829706638e-14,-3.35829706638e-14,-3.35829706638e-14,-3.35829706638e-14
cubic,8,linear+linear,"(0, 1)(1, 1)",4,1,-0.00285169218523,0.22766241425,0.000739061403917,1.68157378933e-14,1.68157378933e-14,-0.00285169218529,-0.00285169218529,0,0.5,-0,0,-0,-0,0,-0,1.68157378933e-14,1.68157378933e-14,1.68157378933e-14,1.68157378933e-14
cubic,8,linear+linear,"(0, 1)(1, 1)",4,2,-0.00285169218523,0.365415885529,0.000739061403917,0,0,-0.00285169218529,-0.00285169218529,0,0.5,-0,0,-0,-0,0,-0,0,0,0,0
cubic,8,linear+linear,"(0, 1)(1, 1)",4,3,-0.00285169218523,0.43740556959,0.000739061403917,1.13396292092e-13,1.13396292092e-13,-0.00285169218529,-0.00285169218529,0,0.5,-0,0,-0,-0,0,-0,1.13396292092e-13,1.13396292092e-13,1.13396292092e-13,1.13396292092e-13
cubic,8,linear+linear,"(0, 1)(0, -1)",2,1,0.0032096755549,0.512356520282,0.00190430718275,-0,-0,0.00320967555488,0.00320967555488,0,0.5,0,0,-0,0,0,-0,-0,-0,-0,-0
cubic,8,linear+linear,"(0, 1)(0, -1)",2,2,0.0032096755549,0.691013703425,0.00190430718275,-0,-0,0.00320967555488,0.00320967555488,0,0.5,0,0,-0,0,0,-0,-0,-0,-0,-0
cubic,8,linear+linear,"(0, 1)(0, -1)",2,3,0.0032096755549,0.785071515391,0.00190430718275,-0,-0,0.00320967555488,0.00320967555488,0,0.5,0,0,-0,0,0,-0,-0,-0,-0,-0
cubic,8,linear+linear,"(0, 1)(0, -1)",4,1,0.00190112812356,0.22766241425,0.000739061403917,-0,-0,0.00190112812352,0.00190112812352,0,0.5,0,0,-0,0,0,-0,-0,-0,-0,-0
cubic,8,linear+linear,"(0, 1)(0, -1)",4,2,0.00190112812356,0.365415885529,0.000739061403917,-0,-0,0.00190112812352,0.00190112812352,0,0.5,0,0,-0,0,0,-0,-0,-0,-0,-0
cubic,8,linear+linear,"(0, 1)(0, -1)",4,3,0.00190112812356,0.43740556959,0.000739061403917,-0,-0,0.00190112812352,0.00190112812352,0,0.5,0,0,-0,0,0,-0,-0,-0,-0,-0
cubic,8,square+square_b02,"(0, 1)(0, 1)",2,1,-0.00207093259542,0.512356520282,0.00190430718275,0.435544220337,0.646126009755,-0.00207093259537,-0.00207069497818,-2.37617187264e-07,0.500006195834,0.435544220344,0.435543356037,0.426963766901,0.646126009771,0.646124727578,0.640445650352,-7.27962135016e-12,8.64300273851e-07,-1.55809809499e-11,1.28217705209e-06
cubic,8,square+square_b02,"(0, 1)(0, 1)",2,2,-0.00207093259542,0.691013703425,0.00190430718275,0.587417184688,0.871428212984,-0.00207093259537,-0.00207069497818,-2.37617187264e-07,0.500006195834,0.587417184698,0.587416019009,0.575844752854,0.871428213006,0.871426483717,0.863767129281,-1.0165757125e-11,1.16567884145e-06,-2.15324424957e-11,1.72926782938e-06
cubic,8,square+square_b02,"(0, 1)(0, 1)",2,3,-0.00207093259542,0.785071515391,0.00190430718275,0.667373884286,0.990043271691,-0.00207093259537,-0.00207069497818,-2.37617187264e-07,0.500006195834,0.667373884298,0.66737255994,0.654226262826,0.990043271716,0.990041307043,0.981339394239,-1.17050813486e-11,1.32434587397e-06,-2.46941356252e-11,1.96464809477e-06
cubic,8,square+square_b02,"(0, 1)(0, 1)",4,1,-0.00122760360398,0.22766241425,0.000739061403917,0.193544759608,0.287121943985,-0.0012276036041,-0.00122754904545,-5.45586537011e-08,0.500003666708,0.193544759587,0.193544495364,0.189718678541,0.287121943956,0.287121551984,0.284578017812,2.09177952737e-11,2.64243841724e-07,2.89063772918e-11,3.92001283822e-07
cubic,8,square+square_b02,"(0, 1)(0, 1)",4,2,-0.00122760360398,0.365415885529,0.000739061403917,0.310654395698,0.460853056321,-0.0012276036041,-0.00122754904545,-5.45586537011e-08,0.500003666708,0.310654395664,0.310653971565,0.304513237941,0.460853056274,0.460852427128,0.456769856911,3.39538397398e-11,4.24132301502e-07,4.69582706053e-11,6.29193116886e-07
cubic,8,square+square_b02,"(0, 1)(0, 1)",4,3,-0.00122760360398,0.43740556959,0.000739061403917,0.371855653453,0.55164458246,-0.0012276036041,-0.00122754904545,-5.45586537011e-08,0.500003666708,0.371855653413,0.371855145764,0.364504641325,0.551644582404,0.551643829311,0.546756961987,4.03024835727e-11,5.07689221607e-07,5.57042190152e-11,7.53148398758e-07
cubic,8,square+square_b02,"(1, -1)(1, -1)",2,1,-0.00506398563277,0.512356520282,0.00190430718275,0.435546300604,0.646129095814,-0.00506398563285,-0.0050634109718,-5.74661055594e-07,0.500014987944,0.435546300595,0.435543356037,0.426963766901,0.646129095804,0.646124727578,0.640445650352,9.74154090727e-12,2.94456763583e-06,9.66959845528e-12,4.36823533745e-06
cubic,8,square+square_b02,"(1, -1)(1, -1)",2,2,-0.00506398563277,0.691013703425,0.00190430718275,0.587419990338,0.871432375143,-0.00506398563285,-0.0050634109718,-5.74661055594e-07,0.500014987944,0.587419990325,0.587416019009,0.575844752854,0.871432375129,0.871426483717,0.863767129281,1.31787913915e-11,3.97132958652e-06,1.30988553337e-11,5.8914259663e-06
cubic,8,square+square_b02,"(1, -1)(1, -1)",2,3,-0.00506398563277,0.785071515391,0.00190430718275,0.66737707183,0.990048000384,-0.00506398563285,-0.0050634109718,-5.74661055594e-07,0.500014987944,0.667377071815,0.66737255994,0.654226262826,0.99004800037,0.990041307043,0.981339394239,1.46332945761e-11,4.5118895422e-06,1.43784983919e-11,6.69334101544e-06
cubic,8,square+square_b02,"(1, -1)(1, -1)",4,1,-0.0029952234529,0.22766241425,0.000739061403917,0.19354521414,0.28712261828,-0.00299522345282,-0.00299509111272,-1.3234010547e-07,0.500008889404,0.193545214144,0.193544495364,0.189718678541,0.287122618287,0.287121551984,0.284578017812,-3.90956711449e-12,7.18775886727e-07,-7.92477194977e-12,1.06629556407e-06
cubic,8,square+square_b02,"(1, -1)(1, -1)",4,2,-0.0029952234529,0.365415885529,0.000739061403917,0.310655125257,0.460854138615,-0.00299522345282,-0.00299509111272,-1.3234010547e-07,0.500008889404,0.310655125263,0.310653971565,0.304513237941,0.460854138628,0.460852427128,0.456769856911,-6.08574302063e-12,1.15369140363e-06,-1.24401045021e-11,1.7114876108e-06
cubic,8,square+square_b02,"(1, -1)(1, -1)",4,3,-0.0029952234529,0.43740556959,0.000739061403917,0.371856526741,0.551645877974,-0.00299522345282,-0.00299509111272,-1.3234010547e-07,0.500008889404,0.371856526748,0.371855145764,0.364504641325,0.55164587799,0.551643829311,0.546756961987,-7.77672370944e-12,1.38097681501e-06,-1.56207269342e-11,2.04866284204e-06
cubic,8,square+square_b02,"(0, 1)(1, 1)",2,1,-0.00309018697624,0.512356520282,0.00190430718275,0.435589805324,0.646193634682,-0.0030901869762,-0.00308983210536,-3.54870839555e-07,0.500268098755,0.435589805327,0.435543356037,0.426963766901,0.64619363469,0.646124727578,0.640445650352,-2.21556106794e-12,4.64492877235e-05,-8.06910094298e-12,6.89071039144e-05
cubic,8,square+square_b02,"(0, 1)(1, 1)",2,2,-0.00309018697624,0.691013703425,0.00190430718275,0.587478665023,0.87151941852,-0.0030901869762,-0.00308983210536,-3.54870839555e-07,0.500268098755,0.587478665027,0.587416019009,0.575844752854,0.871519418532,0.871426483717,0.863767129281,-3.44513306771e-12,6.26460146921e-05,-1.15633058684e-11,9.29348038616e-05
cubic,8,square+square_b02,"(0, 1)(1, 1)",2,3,-0.00309018697624,0.785071515391,0.00190430718275,0.667443733061,0.990146891733,-0.0030901869762,-0.00308983210536,-3.54870839555e-07,0.500268098755,0.667443733065,0.66737255994,0.654226262826,0.990146891746,0.990041307043,0.981339394239,-3.83792997383e-12,7.11731207302e-05,-1.30241373242e-11,0.00010558468959
cubic,8,square+square_b02,"(0, 1)(1, 1)",4,1,-0.00183218425286,0.22766241425,0.000739061403917,0.193556752283,0.287139735013,-0.00183218425289,-0.00183210278658,-8.14663085742e-08,0.500158627499,0.193556752279,0.193544495364,0.189718678541,0.287139735009,0.287121551984,0.284578017812,4.08489908565e-12,1.22569190503e-05,3.93490795503e-12,1.8183029191e-05
cubic,8,square+square_b02,"(0, 1)(1, 1)",4,2,-0.00183218425286,0.365415885529,0.000739061403917,0.310673644874,0.460881612305,-0.00183218425289,-0.00183210278658,-8.14663085742e-08,0.500158627499,0.310673644867,0.310653971565,0.304513237941,0.460881612298,0.460852427128,0.456769856911,6.99906799184e-12,1.96733090269e-05,6.97081281587e-12,2.91851770282e-05
cubic,8,square+square_b02,"(0, 1)(1, 1)",4,3,-0.00183218425286,0.43740556959,0.000739061403917,0.371878694862,0.551678764188,-0.00183218425289,-0.00183210278658,-8.14663085742e-08,0.500158627499,0.371878694855,0.371855145764,0.364504641325,0.55167876418,0.551643829311,0.546756961987,7.90251197813e-12,2.35490987328e-05,7.63900054324e-12,3.49348762038e-05
cubic,8,square+square_b02,"(0, 1)(0, -1)",2,1,0.00211531065395,0.512356520282,0.00190430718275,0.435357988961,0.645849737151,0.00211531065393,0.00211506879692,2.41857019911e-07,0.498936228514,0.435357988961,0.435543356037,0.426963766901,0.645849737156,0.646124727578,0.640445650352,1.13187237361e-13,-0.000185367076035,-4.6119774666e-12,-0.000274990427305
cubic,8,square+square_b02,"(0, 1)(0, -1)",2,2,0.00211531065395,0.691013703425,0.00190430718275,0.587166014989,0.871055604952,0.00211531065393,0.00211506879692,2.41857019911e-07,0.498936228514,0.587166014989,0.587416019009,0.575844752854,0.871055604958,0.871426483717,0.863767129281,5.36459765499e-13,-0.000250004019538,-5.65314461909e-12,-0.000370878764622
cubic,8,square+square_b02,"(0, 1)(0, -1)",2,3,0.00211531065395,0.785071515391,0.00190430718275,0.667088526449,0.989619945857,0.00211531065393,0.00211506879692,2.41857019911e-07,0.498936228514,0.667088526449,0.66737255994,0.654226262826,0.989619945863,0.990041307043,0.981339394239,6.14286399525e-13,-0.000284033490937,-6.41520170319e-12,-0.000421361186211
cubic,8,square+square_b02,"(0, 1)(0, -1)",4,1,0.00125282233989,0.22766241425,0.000739061403917,0.193495711816,0.287049182017,0.00125282233995,0.0012527667671,5.55728546017e-08,0.499369907372,0.193495711805,0.193544495364,0.189718678541,0.287049182004,0.287121551984,0.284578017812,1.07117092973e-11,-4.87835487435e-05,1.37663769273e-11,-7.23699664582e-05
cubic,8,square+square_b02,"(0, 1)(0, -1)",4,2,0.00125282233989,0.365415885529,0.000739061403917,0.310575670175,0.460736267702,0.00125282233995,0.0012527667671,5.55728546017e-08,0.499369907372,0.310575670157,0.310653971565,0.304513237941,0.460736267679,0.460852427128,0.456769856911,1.74697478705e-11,-7.83013905002e-05,2.2505275421e-11,-0.00011615942567
cubic,8,square+square_b02,"(0, 1)(0, -1)",4,3,0.00125282233989,0.43740556959,0.000739061403917,0.371761418409,0.551504785603,0.00125282233995,0.0012527667671,5.55728546017e-08,0.499369907372,0.371761418388,0.371855145764,0.364504641325,0.551504785576,0.551643829311,0.546756961987,2.0796586675e-11,-9.37273548023e-05,2.67684763244e-11,-0.000139043708341
cubic,8,square+generic,"(0, 1)(0, 1)",2,1,-0.00302206649678,0.512356520282,0.00190430718275,0.696935336215,0.706139799724,-0.00302206649665,-0.00302119639745,-8.70099205298e-07,0.499463204557,0.69693533624,0.696749968964,0.683142027042,0.706139799755,0.705951984323,0.683142027042,-2.50288678671e-11,0.000185367251097,-3.08549852335e-11,0.000187815401134
cubic,8,square+generic,"(0, 1)(0, 1)",2,2,-0.00302206649678,0.691013703425,0.00190430718275,0.939954599311,0.95236863166,-0.00302206649665,-0.00302119639745,-8.70099205298e-07,0.499463204557,0.939954599345,0.939704595055,0.921351604567,0.952368631702,0.952115325591,0.921351604567,-3.39142047778e-11,0.00025000425587,-4.17751389037e-11,0.000253306068485
cubic,8,square+generic,"(0, 1)(0, 1)",2,3,-0.00302206649678,0.785071515391,0.00190430718275,1.06789717486,1.08200095188,-0.00302206649665,-0.00302119639745,-8.70099205298e-07,0.499463204557,1.0678971749,1.0676131411,1.04676202052,1.08200095193,1.08171316688,1.04676202052,-3.85049769847e-11,0.000284033759468,-4.74376093962e-11,0.000287785000608
cubic,8,square+generic,"(0, 1)(0, 1)",4,1,-0.00179272393336,0.22766241425,0.000739061403917,0.309699589636,0.313789809235,-0.00179272393328,-0.00179252434628,-1.99587003133e-07,0.499682591434,0.309699589648,0.309650596924,0.303549885666,0.313789809249,0.313740169476,0.303549885666,-1.19647625141e-11,4.89927118295e-05,-1.45647938155e-11,4.9639758841e-05
cubic,8,square+generic,"(0, 1)(0, 1)",4,2,-0.00179272393336,0.365415885529,0.000739061403917,0.497091933983,0.503657054632,-0.00179272393328,-0.00179252434628,-1.99587003133e-07,0.499682591434,0.497091934002,0.497013296869,0.487221180705,0.503657054656,0.503577378958,0.487221180705,-1.91032745178e-11,7.86371139024e-05,-2.32758257113e-11,7.96756746928e-05
cubic,8,square+generic,"(0, 1)(0, 1)",4,3,-0.00179272393336,0.43740556959,0.000739061403917,0.595022792202,0.602881291108,-0.00179272393328,-0.00179252434628,-1.99587003133e-07,0.499682591434,0.595022792225,0.594928662984,0.583207426119,0.602881291136,0.602785918725,0.583207426119,-2.29369856442e-11,9.41292180603e-05,-2.79336553888e-11,9.53723831534e-05
cubic,8,square+generic,"(1, -1)(1, -1)",2,1,-0.00794008145454,0.512356520282,0.00190430718275,0.696475402654,0.705673791794,-0.00794008145456,-0.00793784363189,-2.23782266732e-06,0.500795585091,0.696475402647,0.696749968964,0.683142027042,0.705673791793,0.705951984323,0.683142027042,6.62947474694e-12,-0.000274566310391,1.22524212998e-12,-0.000278192528323
cubic,8,square+generic,"(1, -1)(1, -1)",2,2,-0.00794008145454,0.691013703425,0.00190430718275,0.939334288295,0.951740128162,-0.00794008145456,-0.00793784363189,-2.23782266732e-06,0.500795585091,0.939334288286,0.939704595055,0.921351604567,0.951740128161,0.952115325591,0.921351604567,8.82072193065e-12,-0.000370306760098,1.52933221642e-12,-0.000375197429358
cubic,8,square+generic,"(1, -1)(1, -1)",2,3,-0.00794008145454,0.785071515391,0.00190430718275,1.06719242978,1.08128689919,-0.00794008145456,-0.00793784363189,-2.23782266732e-06,0.500795585091,1.06719242977,1.0676131411,1.04676202052,1.08128689919,1.08171316688,1.04676202052,9.97157911797e-12,-0.000420711322949,1.68509650678e-12,-0.000426267689068
cubic,8,square+generic,"(1, -1)(1, -1)",4,1,-0.00468932804733,0.22766241425,0.000739061403917,0.309577679573,0.313666289099,-0.00468932804734,-0.00468881188201,-5.16165338756e-07,0.500472514324,0.309577679571,0.309650596924,0.303549885666,0.313666289099,0.313740169476,0.303549885666,2.77594613962e-12,-7.29173504629e-05,3.71536135191e-13,-7.38803763826e-05
cubic,8,square+generic,"(1, -1)(1, -1)",4,2,-0.00468932804733,0.365415885529,0.000739061403917,0.49689625885,0.503458795206,-0.00468932804734,-0.00468881188201,-5.16165338756e-07,0.500472514324,0.496896258845,0.497013296869,0.487221180705,0.503458795206,0.503577378958,0.487221180705,4.70634642369e-12,-0.000117038019739,8.49764703048e-13,-0.000118583751255
cubic,8,square+generic,"(1, -1)(1, -1)",4,3,-0.00468932804733,0.43740556959,0.000739061403917,0.594788567592,0.602643973081,-0.00468932804734,-0.00468881188201,-5.16165338756e-07,0.500472514324,0.594788567586,0.594928662984,0.583207426119,0.60264397308,0.602785918725,0.583207426119,5.82578429942e-12,-0.000140095391702,1.21092025296e-12,-0.000141945643977
cubic,8,square+generic,"(0, 1)(1, 1)",2,1,-0.00445293128382,0.512356520282,0.00190430718275,0.696806377808,0.706009138156,-0.00445293128362,-0.00445164673446,-1.2845491544e-06,0.499832261462,0.696806377835,0.696749968964,0.683142027042,0.706009138189,0.705951984323,0.683142027042,-2.7130964142e-11,5.64088443465e-05,-3.29837268609e-11,5.71538335778e-05
cubic,8,square+generic,"(0, 1)(1, 1)",2,2,-0.00445293128382,0.691013703425,0.00190430718275,0.939780673494,0.952192408796,-0.00445293128362,-0.00445164673446,-1.2845491544e-06,0.499832261462,0.939780673531,0.939704595055,0.921351604567,0.95219240884,0.952115325591,0.921351604567,-3.64885899273e-11,7.60784394215e-05,-4.43819425655e-11,7.70832041653e-05
cubic,8,square+generic,"(0, 1)(1, 1)",2,3,-0.00445293128382,0.785071515391,0.00190430718275,1.06769957501,1.08180074232,-0.00445293128362,-0.00445164673446,-1.2845491544e-06,0.499832261462,1.06769957506,1.0676131411,1.04676202052,1.08180074237,1.08171316688,1.04676202052,-4.1876946355e-11,8.64339088185e-05,-5.08522113307e-11,8.7575437808e-05
cubic,8,square+generic,"(0, 1)(1, 1)",4,1,-0.00264231238759,0.22766241425,0.000739061403917,0.309665763976,0.313755536837,-0.00264231238739,-0.0026420179209,-2.94466497504e-07,0.499900845702,0.309665763997,0.309650596924,0.303549885666,0.313755536861,0.313740169476,0.303549885666,-2.10609862883e-11,1.51670518554e-05,-2.37809771875e-11,1.53673615059e-05
cubic,8,square+generic,"(0, 1)(1, 1)",4,2,-0.00264231238759,0.365415885529,0.000739061403917,0.497037641167,0.503602044768,-0.00264231238739,-0.0026420179209,-2.94466497504e-07,0.499900845702,0.497037641201,0.497013296869,0.487221180705,0.503602044807,0.503577378958,0.487221180705,-3.40656947095e-11,2.4344297865e-05,-3.84354770233e-11,2.46658104329e-05
cubic,8,square+generic,"(0, 1)(1, 1)",4,3,-0.00264231238759,0.43740556959,0.000739061403917,0.594957803291,0.602815443886,-0.00264231238739,-0.0026420179209,-2.94466497504e-07,0.499900845702,0.594957803332,0.594928662984,0.583207426119,0.602815443932,0.602785918725,0.583207426119,-4.11124467803e-11,2.91403077231e-05,-4.63487026536e-11,2.9525160685e-05
cubic,8,square+generic,"(0, 1)(0, -1)",2,1,0.00325654552717,0.512356520282,0.00190430718275,0.697496745492,0.706708623564,0.00325654552726,0.00325561574289,9.29784370722e-07,0.497856504536,0.697496745466,0.696749968964,0.683142027042,0.706708623543,0.705951984323,0.683142027042,2.55113707937e-11,0.00074677652755,2.03486116845e-11,0.000756639240934
cubic,8,square+generic,"(0, 1)(0, -1)",2,2,0.00325654552717,0.691013703425,0.00190430718275,0.94071177032,0.953135802669,0.00325654552726,0.00325561574289,9.29784370722e-07,0.497856504536,0.940711770285,0.939704595055,0.921351604567,0.953135802641,0.952115325591,0.921351604567,3.474898147e-11,0.00100717526504,2.7789104351e-11,0.00102047707702
cubic,8,square+generic,"(0, 1)(0, -1)",2,3,0.00325654552717,0.785071515391,0.00190430718275,1.06875740873,1.08287254691,0.00325654552726,0.00325561574289,9.29784370722e-07,0.497856504536,1.06875740869,1.0676131411,1.04676202052,1.08287254687,1.08171316688,1.04676202052,3.97892829795e-11,0.00114426762868,3.1884050955e-11,0.00115938002608
cubic,8,square+generic,"(0, 1)(0, -1)",4,1,0.00192932560458,0.22766241425,0.000739061403917,0.309847088433,0.313939256057,0.00192932560458,0.00192911173946,2.1386511224e-07,0.498730876917,0.309847088431,0.309650596924,0.303549885666,0.313939256058,0.313740169476,0.303549885666,1.62264646164e-12,0.000196491509288,-7.99138533125e-13,0.00019908658107
cubic,8,square+generic,"(0, 1)(0, -1)",4,2,0.00192932560458,0.365415885529,0.000739061403917,0.497328681027,0.503896928408,0.00192932560458,0.00192911173946,2.1386511224e-07,0.498730876917,0.497328681025,0.497013296869,0.487221180705,0.503896928409,0.503577378958,0.487221180705,2.33957297979e-12,0.000315384157906,-1.55175872152e-12,0.000319549449993
cubic,8,square+generic,"(0, 1)(0, -1)",4,3,0.00192932560458,0.43740556959,0.000739061403917,0.595306180198,0.603168421826,0.00192932560458,0.00192911173946,2.1386511224e-07,0.498730876917,0.595306180195,0.594928662984,0.583207426119,0.603168421827,0.602785918725,0.583207426119,3.08864045451e-12,0.000377517214759,-1.56652468775e-12,0.000382503100789
cubic,12,square+square,"(0, 1)(0, 1)",2,1,-0.0022666770451,0.537515366176,0.0018072395231,0.548255151106,0.548255151106,-0.00226667704585,-0.00226630649067,-3.70555185377e-07,0.5,0.548255150939,0.548255619431,0.537515366176,0.548255150939,0.548255619431,0.537515366176,1.66294533699e-10,-4.68325464853e-07,1.66294533699e-10,-4.68325464853e-07
cubic,12,square+square,"(0, 1)(0, 1)",2,3,-0.0022666770451,0.840410946363,0.0018072395231,0.857202713417,0.857202713417,-0.00226667704585,-0.00226630649067,-3.70555185377e-07,0.5,0.857202713157,0.857203445649,0.840410946363,0.857202713157,0.857203445649,0.840410946363,2.59828270011e-10,-7.32231980827e-07,2.59828270011e-10,-7.32231980827e-07
cubic,12,square+square,"(0, 1)(0, 1)",2,5,-0.0022666770451,0.913647580368,0.0018072395231,0.931902646423,0.931902646423,-0.00226667704585,-0.00226630649067,-3.70555185377e-07,0.5,0.93190264614,0.931903442464,0.913647580368,0.93190264614,0.931903442464,0.913647580368,2.82968648513e-10,-7.96040986684e-07,2.82968648513e-10,-7.96040986684e-07
cubic,12,square+square,"(0, 1)(0, 1)",4,1,-0.0007254477282,0.267237362133,0.000324158845092,0.272613477829,0.272613477829,-0.000725447728414,-0.000725426525203,-2.12032106761e-08,0.5,0.272613477757,0.272613492564,0.267237362133,0.272613477757,0.272613492564,0.267237362133,7.24995063983e-11,-1.47344150769e-08,7.24995063983e-11,-1.47344150769e-08
cubic,12,square+square,"(0, 1)(0, 1)",4,3,-0.0007254477282,0.588773653199,0.000324158845092,0.600618236805,0.600618236805,-0.000725447728414,-0.000725426525203,-2.12032106761e-08,0.5,0.600618236645,0.600618269268,0.588773653199,0.600618236645,0.600618269268,0.588773653199,1.59523838583e-10,-3.24628656179e-08,1.59523838583e-10,-3.24628656179e-08
cubic,12,square+square,"(0, 1)(0, 1)",4,5,-0.0007254477282,0.705857617613,0.000324158845092,0.720057623882,0.720057623882,-0.000725447728414,-0.000725426525203,-2.12032106761e-08,0.5,0.720057623689,0.720057662799,0.705857617613,0.720057623689,0.720057662799,0.705857617613,1.92968196977e-10,-3.89167331694e-08,1.92968196977e-10,-3.89167331694e-08
cubic,12,square+square,"(1, -1)(1, -1)",2,1,-0.00569227263668,0.537515366176,0.0018072395231,0.548256350651,0.548256350651,-0.00569227263669,-0.00569135452106,-9.18115626118e-07,0.5,0.548256350665,0.548255619431,0.537515366176,0.548256350665,0.548255619431,0.537515366176,-1.46936907086e-11,7.31219311767e-07,-1.46936907086e-11,7.31219311767e-07
cubic,12,square+square,"(1, -1)(1, -1)",2,3,-0.00569227263668,0.840410946363,0.0018072395231,0.857204588918,0.857204588918,-0.00569227263669,-0.00569135452106,-9.18115626118e-07,0.5,0.857204588941,0.857203445649,0.840410946363,0.857204588941,0.857203445649,0.840410946363,-2.31346053425e-11,1.14326894807e-06,-2.31346053425e-11,1.14326894807e-06
cubic,12,square+square,"(1, -1)(1, -1)",2,5,-0.00569227263668,0.913647580368,0.0018072395231,0.931904685362,0.931904685362,-0.00569227263669,-0.00569135452106,-9.18115626118e-07,0.5,0.931904685387,0.931903442464,0.913647580368,0.931904685387,0.931903442464,0.913647580368,-2.51808573992e-11,1.24289776016e-06,-2.51808573992e-11,1.24289776016e-06
cubic,12,square+square,"(1, -1)(1, -1)",4,1,-0.00181440364076,0.267237362133,0.000324158845092,0.272613515748,0.272613515748,-0.00181440364023,-0.00181435086271,-5.27775173459e-08,0.5,0.272613515836,0.272613492564,0.267237362133,0.272613515836,0.272613492564,0.267237362133,-8.8005547294e-11,2.31844430876e-08,-8.8005547294e-11,2.31844430876e-08
cubic,12,square+square,"(1, -1)(1, -1)",4,3,-0.00181440364076,0.588773653199,0.000324158845092,0.600618320347,0.600618320347,-0.00181440364023,-0.00181435086271,-5.27775173459e-08,0.5,0.600618320541,0.600618269268,0.588773653199,0.600618320541,0.600618269268,0.588773653199,-1.94234406337e-10,5.10793016772e-08,-1.94234406337e-10,5.10793016772e-08
cubic,12,square+square,"(1, -1)(1, -1)",4,5,-0.00181440364076,0.705857617613,0.000324158845092,0.720057724036,0.720057724036,-0.00181440364023,-0.00181435086271,-5.27775173459e-08,0.5,0.720057724269,0.720057662799,0.705857617613,0.720057724269,0.720057662799,0.705857617613,-2.32612262785e-10,6.12372177411e-08,-2.32612262785e-10,6.12372177411e-08
cubic,12,square+square,"(0, 1)(1, 1)",2,1,-0.00336405513417,0.537515366176,0.0018072395231,0.548255036603,0.548255036603,-0.00336405513421,-0.00336350447884,-5.50655371056e-07,0.500281911669,0.548255036613,0.548255619431,0.537515366176,0.548255036613,0.548255619431,0.537515366176,-9.386491584e-12,-5.82827881068e-07,-9.386491584e-12,-5.82827881068e-07
cubic,12,square+square,"(0, 1)(1, 1)",2,3,-0.00336405513417,0.840410946363,0.0018072395231,0.857202534391,0.857202534391,-0.00336405513421,-0.00336350447884,-5.50655371056e-07,0.500281911669,0.857202534406,0.857203445649,0.840410946363,0.857202534406,0.857203445649,0.840410946363,-1.49178447373e-11,-9.11257783676e-07,-1.49178447373e-11,-9.11257783676e-07
cubic,12,square+square,"(0, 1)(1, 1)",2,5,-0.00336405513417,0.913647580368,0.0018072395231,0.931902451796,0.931902451796,-0.00336405513421,-0.00336350447884,-5.50655371056e-07,0.500281911669,0.931902451812,0.931903442464,0.913647580368,0.931902451812,0.931903442464,0.913647580368,-1.6176393558e-11,-9.90668241552e-07,-1.6176393558e-11,-9.90668241552e-07
cubic,12,square+square,"(0, 1)(1, 1)",4,1,-0.00107707310826,0.267237362133,0.000324158845092,0.272613474199,0.272613474199,-0.00107707310846,-0.00107704161381,-3.14946556955e-08,0.500089918884,0.272613474157,0.272613492564,0.267237362133,0.272613474157,0.272613492564,0.267237362133,4.23806545413e-11,-1.8364687604e-08,4.23806545413e-11,-1.8364687604e-08
cubic,12,square+square,"(0, 1)(1, 1)",4,3,-0.00107707310826,0.588773653199,0.000324158845092,0.600618228807,0.600618228807,-0.00107707310846,-0.00107704161381,-3.14946556955e-08,0.500089918884,0.600618228713,0.600618269268,0.588773653199,0.600618228713,0.600618269268,0.588773653199,9.3252294775e-11,-4.04609453719e-08,9.3252294775e-11,-4.04609453719e-08
cubic,12,square+square,"(0, 1)(1, 1)",4,5,-0.00107707310826,0.705857617613,0.000324158845092,0.720057614293,0.720057614293,-0.00107707310846,-0.00107704161381,-3.14946556955e-08,0.500089918884,0.72005761418,0.720057662799,0.705857617613,0.72005761418,0.720057662799,0.705857617613,1.1269585265e-10,-4.85061394384e-08,1.1269585265e-10,-4.85061394384e-08
cubic,12,square+square,"(0, 1)(0, -1)",2,1,0.00236790944518,0.537515366176,0.0018072395231,0.548255628196,0.548255628196,0.00236790944431,0.00236752440158,3.8504273312e-07,0.498816346981,0.548255628414,0.548255619431,0.537515366176,0.548255628414,0.548255619431,0.537515366176,-2.18178031197e-10,8.76476413669e-09,-2.18178031197e-10,8.76476413669e-09
cubic,12,square+square,"(0, 1)(0, -1)",2,3,0.00236790944518,0.840410946363,0.0018072395231,0.857203459353,0.857203459353,0.00236790944431,0.00236752440158,3.8504273312e-07,0.498816346981,0.857203459694,0.857203445649,0.840410946363,0.857203459694,0.857203445649,0.840410946363,-3.41059402942e-10,1.37038652648e-08,-3.41059402942e-10,1.37038652648e-08
cubic,12,square+square,"(0, 1)(0, -1)",2,5,0.00236790944518,0.913647580368,0.0018072395231,0.931903457361,0.931903457361,0.00236790944431,0.00236752440158,3.8504273312e-07,0.498816346981,0.931903457733,0.931903442464,0.913647580368,0.931903457733,0.931903442464,0.913647580368,-3.71141450906e-10,1.48977118419e-08,-3.71141450906e-10,1.48977118419e-08
cubic,12,square+square,"(0, 1)(0, -1)",4,1,0.000756633529818,0.267237362133,0.000324158845092,0.272613492686,0.272613492686,0.000756633529344,0.000756611456573,2.20727710622e-08,0.499621705884,0.272613492865,0.272613492564,0.267237362133,0.272613492865,0.272613492564,0.267237362133,-1.78483172686e-10,1.22572119121e-10,-1.78483172686e-10,1.22572119121e-10
cubic,12,square+square,"(0, 1)(0, -1)",4,3,0.000756633529818,0.588773653199,0.000324158845092,0.600618269538,0.600618269538,0.000756633529344,0.000756611456573,2.20727710622e-08,0.499621705884,0.600618269931,0.600618269268,0.588773653199,0.600618269931,0.600618269268,0.588773653199,-3.93125199061e-10,2.70155342541e-10,-3.93125199061e-10,2.70155342541e-10
cubic,12,square+square,"(0, 1)(0, -1)",4,5,0.000756633529818,0.705857617613,0.000324158845092,0.720057663121,0.720057663121,0.000756633529344,0.000756611456573,2.20727710622e-08,0.499621705884,0.720057663594,0.720057662799,0.705857617613,0.720057663594,0.720057662799,0.705857617613,-4.73128647371e-10,3.22052717827e-10,-4.73128647371e-10,3.22052717827e-10
cubic,12,generic+generic,"(0, 1)(0, 1)",2,1,-0.00220406521612,0.537515366176,0.0018072395231,0.925518904843,0.925518904843,-0.0022040652163,-0.00220306122403,-1.00399227179e-06,0.5,0.925518904728,0.92552252753,0.895858943627,0.925518904728,0.92552252753,0.895858943627,1.15431220138e-10,-3.62268693832e-06,1.15431220138e-10,-3.62268693832e-06
cubic,12,generic+generic,"(0, 1)(0, 1)",2,3,-0.00220406521612,0.840410946363,0.0018072395231,1.44705857291,1.44705857291,-0.0022040652163,-0.00220306122403,-1.00399227179e-06,0.5,1.44705857273,1.44706423702,1.40068491061,1.44705857273,1.44706423702,1.40068491061,1.80126358273e-10,-5.6641096029e-06,1.80126358273e-10,-5.6641096029e-06
cubic,12,generic+generic,"(0, 1)(0, 1)",2,5,-0.00220406521612,0.913647580368,0.0018072395231,1.57316080843,1.57316080843,-0.0022040652163,-0.00220306122403,-1.00399227179e-06,0.5,1.57316080823,1.57316696613,1.52274596728,1.57316080823,1.57316696613,1.52274596728,1.96285654397e-10,-6.15770138146e-06,1.96285654397e-10,-6.15770138146e-06
cubic,12,generic+generic,"(0, 1)(0, 1)",4,1,-0.000705954016212,0.267237362133,0.000324158845092,0.460313973833,0.460313973833,-0.000705954016476,-0.000705896635442,-5.73810339597e-08,0.5,0.460313973641,0.460314087994,0.445395603556,0.460313973641,0.460314087994,0.445395603556,1.91954008244e-10,-1.14160144338e-07,1.91954008244e-10,-1.14160144338e-07
cubic,12,generic+generic,"(0, 1)(0, 1)",4,3,-0.000705954016212,0.588773653199,0.000324158845092,1.01415736867,1.01415736867,-0.000705954016476,-0.000705896635442,-5.73810339597e-08,0.5,1.01415736825,1.01415762019,0.981289421999,1.01415736825,1.01415762019,0.981289421999,4.23556523188e-10,-2.51515401617e-07,4.23556523188e-10,-2.51515401617e-07
cubic,12,generic+generic,"(0, 1)(0, 1)",4,5,-0.000705954016212,0.705857617613,0.000324158845092,1.21583345357,1.21583345357,-0.000705954016476,-0.000705896635442,-5.73810339597e-08,0.5,1.21583345306,1.2158337551,1.17642936269,1.21583345306,1.2158337551,1.17642936269,5.08478592565e-10,-3.01531247082e-07,5.08478592565e-10,-3.01531247082e-07
cubic,12,generic+generic,"(1, -1)(1, -1)",2,1,-0.00596013675067,0.537515366176,0.0018072395231,0.925528335331,0.925528335331,-0.00596013675127,-0.00595748250176,-2.65424950334e-06,0.5,0.925528335199,0.92552252753,0.895858943627,0.925528335199,0.92552252753,0.895858943627,1.3237644314e-10,5.80780135939e-06,1.3237644314e-10,5.80780135939e-06
cubic,12,generic+generic,"(1, -1)(1, -1)",2,3,-0.00596013675067,0.840410946363,0.0018072395231,1.44707331758,1.44707331758,-0.00596013675127,-0.00595748250176,-2.65424950334e-06,0.5,1.44707331737,1.44706423702,1.40068491061,1.44707331737,1.44706423702,1.40068491061,2.06935357738e-10,9.080558667e-06,2.06935357738e-10,9.080558667e-06
cubic,12,generic+generic,"(1, -1)(1, -1)",2,5,-0.00596013675067,0.913647580368,0.0018072395231,1.573176838,1.573176838,-0.00596013675127,-0.00595748250176,-2.65424950334e-06,0.5,1.57317683778,1.57316696613,1.52274596728,1.57317683778,1.57316696613,1.52274596728,2.24983587316e-10,9.87187340074e-06,2.24983587316e-10,9.87187340074e-06
cubic,12,generic+generic,"(1, -1)(1, -1)",4,1,-0.0018959962772,0.267237362133,0.000324158845092,0.46031427358,0.46031427358,-0.00189599627761,-0.00189584340293,-1.52874681708e-07,0.5,0.46031427346,0.460314087994,0.445395603556,0.46031427346,0.460314087994,0.445395603556,1.20093990308e-10,1.85586317258e-07,1.20093990308e-10,1.85586317258e-07
cubic,12,generic+generic,"(1, -1)(1, -1)",4,3,-0.0018959962772,0.588773653199,0.000324158845092,1.01415802907,1.01415802907,-0.00189599627761,-0.00189584340293,-1.52874681708e-07,0.5,1.01415802881,1.01415762019,0.981289421999,1.01415802881,1.01415762019,0.981289421999,2.63892241392e-10,4.08880505232e-07,2.63892241392e-10,4.08880505232e-07
cubic,12,generic+generic,"(1, -1)(1, -1)",4,5,-0.0018959962772,0.705857617613,0.000324158845092,1.21583424529,1.21583424529,-0.00189599627761,-0.00189584340293,-1.52874681708e-07,0.5,1.21583424497,1.2158337551,1.17642936269,1.21583424497,1.2158337551,1.17642936269,3.15157011599e-10,4.90189572266e-07,3.15157011599e-10,4.90189572266e-07
cubic,12,generic+generic,"(0, 1)(1, 1)",2,1,-0.00324902967486,0.537515366176,0.0018072395231,0.925518034677,0.925518034677,-0.00324902967548,-0.00324754662899,-1.48304648953e-06,0.500455325749,0.925518034461,0.92552252753,0.895858943627,0.925518034461,0.92552252753,0.895858943627,2.16026307953e-10,-4.4928526447e-06,2.16026307953e-10,-4.4928526447e-06
cubic,12,generic+generic,"(0, 1)(1, 1)",2,3,-0.00324902967486,0.840410946363,0.0018072395231,1.4470572124,1.4470572124,-0.00324902967548,-0.00324754662899,-1.48304648953e-06,0.500455325749,1.44705721206,1.44706423702,1.40068491061,1.44705721206,1.44706423702,1.40068491061,3.37995187394e-10,-7.02462227831e-06,3.37995187394e-10,-7.02462227831e-06
cubic,12,generic+generic,"(0, 1)(1, 1)",2,5,-0.00324902967486,0.913647580368,0.0018072395231,1.57315932935,1.57315932935,-0.00324902967548,-0.00324754662899,-1.48304648953e-06,0.500455325749,1.57315932899,1.57316696613,1.52274596728,1.57315932899,1.57316696613,1.52274596728,3.67253560896e-10,-7.63677500881e-06,3.67253560896e-10,-7.63677500881e-06
cubic,12,generic+generic,"(0, 1)(1, 1)",4,1,-0.00104129051988,0.267237362133,0.000324158845092,0.460313946425,0.460313946425,-0.00104129052003,-0.00104120582057,-8.46994648012e-08,0.500145048785,0.460313946337,0.460314087994,0.445395603556,0.460313946337,0.460314087994,0.445395603556,8.82471873354e-11,-1.41568360257e-07,8.82471873354e-11,-1.41568360257e-07
cubic,12,generic+generic,"(0, 1)(1, 1)",4,3,-0.00104129051988,0.588773653199,0.000324158845092,1.01415730829,1.01415730829,-0.00104129052003,-0.00104120582057,-8.46994648012e-08,0.500145048785,1.01415730809,1.01415762019,0.981289421999,1.01415730809,1.01415762019,0.981289421999,1.94930294128e-10,-3.11900943961e-07,1.94930294128e-10,-3.11900943961e-07
cubic,12,generic+generic,"(0, 1)(1, 1)",4,5,-0.00104129051988,0.705857617613,0.000324158845092,1.21583338117,1.21583338117,-0.00104129052003,-0.00104120582057,-8.46994648012e-08,0.500145048785,1.21583338094,1.2158337551,1.17642936269,1.21583338094,1.2158337551,1.17642936269,2.3513435643e-10,-3.73924356145e-07,2.3513435643e-10,-3.73924356145e-07
cubic,12,generic+generic,"(0, 1)(0, -1)",2,1,0.00237057672621,0.537515366176,0.0018072395231,0.92552264449,0.92552264449,0.0023705767259,0.00236950645925,1.07026665456e-06,0.498025917498,0.925522644569,0.92552252753,0.895858943627,0.925522644569,0.92552252753,0.895858943627,-7.83524356507e-11,1.16960554908e-07,-7.83524356507e-11,1.16960554908e-07
cubic,12,generic+generic,"(0, 1)(0, -1)",2,3,0.00237057672621,0.840410946363,0.0018072395231,1.44706441989,1.44706441989,0.0023705767259,0.00236950645925,1.07026665456e-06,0.498025917498,1.44706442001,1.44706423702,1.40068491061,1.44706442001,1.44706423702,1.40068491061,-1.22491794485e-10,1.82869074994e-07,-1.22491794485e-10,1.82869074994e-07
cubic,12,generic+generic,"(0, 1)(0, -1)",2,5,0.00237057672621,0.913647580368,0.0018072395231,1.57316716493,1.57316716493,0.0023705767259,0.00236950645925,1.07026665456e-06,0.498025917498,1.57316716507,1.57316696613,1.52274596728,1.57316716507,1.57316696613,1.52274596728,-1.33197008978e-10,1.98804956497e-07,-1.33197008978e-10,1.98804956497e-07
cubic,12,generic+generic,"(0, 1)(0, -1)",4,1,0.000757268160214,0.267237362133,0.000324158845092,0.460314092099,0.460314092099,0.000757268160478,0.000757206803114,6.13573640102e-08,0.499369048173,0.460314091918,0.460314087994,0.445395603556,0.460314091918,0.460314087994,0.445395603556,1.80769510472e-10,4.1055411848e-09,1.80769510472e-10,4.1055411848e-09
cubic,12,generic+generic,"(0, 1)(0, -1)",4,3,0.000757268160214,0.588773653199,0.000324158845092,1.01415762923,1.01415762923,0.000757268160478,0.000757206803114,6.13573640102e-08,0.499369048173,1.01415762884,1.01415762019,0.981289421999,1.01415762884,1.01415762019,0.981289421999,3.97266886054e-10,9.04426933346e-09,3.97266886054e-10,9.04426933346e-09
cubic,12,generic+generic,"(0, 1)(0, -1)",4,5,0.000757268160214,0.705857617613,0.000324158845092,1.21583376594,1.21583376594,0.000757268160478,0.000757206803114,6.13573640102e-08,0.499369048173,1.21583376546,1.2158337551,1.17642936269,1.21583376546,1.2158337551,1.17642936269,4.76540140681e-10,1.08430919799e-08,4.76540140681e-10,1.08430919799e-08
cubic,12,linear+linear,"(0, 1)(0, 1)",2,1,-0.00236641093625,0.537515366176,0.0018072395231,0,0,-0.00236641093671,-0.00236641093671,0,0.5,-0,0,-0,-0,0,-0,0,0,0,0
cubic,12,linear+linear,"(0, 1)(0, 1)",2,3,-0.00236641093625,0.840410946363,0.0018072395231,0,0,-0.00236641093671,-0.00236641093671,0,0.5,-0,0,-0,-0,0,-0,0,0,0,0
cubic,12,linear+linear,"(0, 1)(0, 1)",2,5,-0.00236641093625,0.913647580368,0.0018072395231,4.60557909068e-14,4.60557909068e-14,-0.00236641093671,-0.00236641093671,0,0.5,-0,0,-0,-0,0,-0,4.60557909068e-14,4.60557909068e-14,4.60557909068e-14,4.60557909068e-14
cubic,12,linear+linear,"(0, 1)(0, 1)",4,1,-0.000756276984703,0.267237362133,0.000324158845092,3.7669699003e-15,3.7669699003e-15,-0.00075627698487,-0.00075627698487,0,0.5,-0,0,-0,-0,0,-0,3.7669699003e-15,3.7669699003e-15,3.7669699003e-15,3.7669699003e-15
cubic,12,linear+linear,"(0, 1)(0, 1)",4,3,-0.000756276984703,0.588773653199,0.000324158845092,1.13547219149e-13,1.13547219149e-13,-0.00075627698487,-0.00075627698487,0,0.5,-0,0,-0,-0,0,-0,1.13547219149e-13,1.13547219149e-13,1.13547219149e-13,1.13547219149e-13
cubic,12,linear+linear,"(0, 1)(0, 1)",4,5,-0.000756276984703,0.705857617613,0.000324158845092,2.16164704501e-13,2.16164704501e-13,-0.00075627698487,-0.00075627698487,0,0.5,-0,0,-0,-0,0,-0,2.16164704501e-13,2.16164704501e-13,2.16164704501e-13,2.16164704501e-13
cubic,12,linear+linear,"(1, -1)(1, -1)",2,1,-0.00532442460735,0.537515366176,0.0018072395231,1.8191950647e-14,1.8191950647e-14,-0.00532442460759,-0.00532442460759,0,0.5,-0,0,-0,-0,0,-0,1.8191950647e-14,1.8191950647e-14,1.8191950647e-14,1.8191950647e-14
cubic,12,linear+linear,"(1, -1)(1, -1)",2,3,-0.00532442460735,0.840410946363,0.0018072395231,3.22563111892e-14,3.22563111892e-14,-0.00532442460759,-0.00532442460759,0,0.5,-0,0,-0,-0,0,-0,3.22563111892e-14,3.22563111892e-14,3.22563111892e-14,3.22563111892e-14
cubic,12,linear+linear,"(1, -1)(1, -1)",2,5,-0.00532442460735,0.913647580368,0.0018072395231,2.04692403999e-14,2.04692403999e-14,-0.00532442460759,-0.00532442460759,0,0.5,-0,0,-0,-0,0,-0,2.04692403999e-14,2.04692403999e-14,2.04692403999e-14,2.04692403999e-14
cubic,12,linear+linear,"(1, -1)(1, -1)",4,1,-0.00170162321592,0.267237362133,0.000324158845092,-3.34841768849e-15,-3.34841768849e-15,-0.00170162321596,-0.00170162321596,0,0.5,-0,0,-0,-0,0,-0,-3.34841768849e-15,-3.34841768849e-15,-3.34841768849e-15,-3.34841768849e-15
cubic,12,linear+linear,"(1, -1)(1, -1)",4,3,-0.00170162321592,0.588773653199,0.000324158845092,-2.01861722891e-14,-2.01861722891e-14,-0.00170162321596,-0.00170162321596,0,0.5,-0,0,-0,-0,0,-0,-2.01861722891e-14,-2.01861722891e-14,-2.01861722891e-14,-2.01861722891e-14
cubic,12,linear+linear,"(1, -1)(1, -1)",4,5,-0.00170162321592,0.705857617613,0.000324158845092,-6.40488013207e-14,-6.40488013207e-14,-0.00170162321596,-0.00170162321596,0,0.5,-0,0,-0,-0,0,-0,-6.40488013207e-14,-6.40488013207e-14,-6.40488013207e-14,-6.40488013207e-14
cubic,12,linear+linear,"(0, 1)(1, 1)",2,1,-0.00354961640505,0.537515366176,0.0018072395231,1.60517211585e-15,1.60517211585e-15,-0.00354961640506,-0.00354961640506,0,0.5,-0,0,-0,-0,0,-0,1.60517211585e-15,1.60517211585e-15,1.60517211585e-15,1.60517211585e-15
cubic,12,linear+linear,"(0, 1)(1, 1)",2,3,-0.00354961640505,0.840410946363,0.0018072395231,9.67689335636e-15,9.67689335636e-15,-0.00354961640506,-0.00354961640506,0,0.5,-0,0,-0,-0,0,-0,9.67689335636e-15,9.67689335636e-15,9.67689335636e-15,9.67689335636e-15
cubic,12,linear+linear,"(0, 1)(1, 1)",2,5,-0.00354961640505,0.913647580368,0.0018072395231,9.21115817958e-14,9.21115817958e-14,-0.00354961640506,-0.00354961640506,0,0.5,-0,0,-0,-0,0,-0,9.21115817958e-14,9.21115817958e-14,9.21115817958e-14,9.21115817958e-14
cubic,12,linear+linear,"(0, 1)(1, 1)",4,1,-0.00113441547728,0.267237362133,0.000324158845092,0,0,-0.00113441547731,-0.00113441547731,0,0.5,-0,0,-0,-0,0,-0,0,0,0,0
cubic,12,linear+linear,"(0, 1)(1, 1)",4,3,-0.00113441547728,0.588773653199,0.000324158845092,0,0,-0.00113441547731,-0.00113441547731,0,0.5,-0,0,-0,-0,0,-0,0,0,0,0
cubic,12,linear+linear,"(0, 1)(1, 1)",4,5,-0.00113441547728,0.705857617613,0.000324158845092,0,0,-0.00113441547731,-0.00113441547731,0,0.5,-0,0,-0,-0,0,-0,0,0,0,0
cubic,12,linear+linear,"(0, 1)(0, -1)",2,1,0.00236641093716,0.537515366176,0.0018072395231,-0,-0,0.00236641093671,0.00236641093671,0,0.5,0,0,-0,0,0,-0,-0,-0,-0,-0
cubic,12,linear+linear,"(0, 1)(0, -1)",2,3,0.00236641093716,0.840410946363,0.0018072395231,-0,-0,0.00236641093671,0.00236641093671,0,0.5,0,0,-0,0,0,-0,-0,-0,-0,-0
cubic,12,linear+linear,"(0, 1)(0, -1)",2,5,0.00236641093716,0.913647580368,0.0018072395231,-0,-0,0.00236641093671,0.00236641093671,0,0.5,0,0,-0,0,0,-0,-0,-0,-0,-0
cubic,12,linear+linear,"(0, 1)(0, -1)",4,1,0.000756276985157,0.267237362133,0.000324158845092,-0,-0,0.00075627698487,0.00075627698487,0,0.5,0,0,-0,0,0,-0,-0,-0,-0,-0
cubic,12,linear+linear,"(0, 1)(0, -1)",4,3,0.000756276985157,0.588773653199,0.000324158845092,-0,-0,0.00075627698487,0.00075627698487,0,0.5,0,0,-0,0,0,-0,-0,-0,-0,-0
cubic,12,linear+linear,"(0, 1)(0, -1)",4,5,0.000756276985157,0.705857617613,0.000324158845092,-0,-0,0.00075627698487,0.00075627698487,0,0.5,0,0,-0,0,0,-0,-0,-0,-0,-0
cubic,12,square+square_b02,"(0, 1)(0, 1)",2,1,-0.00152939024156,0.537515366176,0.0018072395231,0.45690507335,0.677837979191,-0.00152939024158,-0.00152922381138,-1.66430203223e-07,0.500004402583,0.456905073356,0.456904450904,0.447929471813,0.677837979144,0.67783705571,0.67189420772,-6.00902660963e-12,6.22446075849e-07,4.67432759166e-11,9.23480707793e-07
cubic,12,square+square_b02,"(0, 1)(0, 1)",2,3,-0.00152939024156,0.840410946363,0.0018072395231,0.714375903008,1.05980683236,-0.00152939024158,-0.00152922381138,-1.66430203223e-07,0.500004402583,0.714375903017,0.714374929807,0.700342455303,1.05980683229,1.05980538849,1.05051368295,-9.18487508272e-12,9.73201217169e-07,7.33955118903e-11,1.44387214207e-06
cubic,12,square+square_b02,"(0, 1)(0, 1)",2,5,-0.00152939024156,0.913647580368,0.0018072395231,0.776629359817,1.15216246556,-0.00152939024158,-0.00152922381138,-1.66430203223e-07,0.500004402583,0.776629359826,0.776628301806,0.76137298364,1.15216246548,1.15216089586,1.14205947546,-9.09927688753e-12,1.05801059092e-06,8.1106232841e-11,1.5696980149e-06
cubic,12,square+square_b02,"(0, 1)(0, 1)",4,1,-0.000489248046051,0.267237362133,0.000324158845092,0.227180241911,0.337031486562,-0.00048924804669,-0.000489238518781,-9.52790932106e-09,0.500001405525,0.227180241621,0.227180119679,0.222697801778,0.337031486104,0.337031305198,0.334046702667,2.90114959833e-10,1.22232050703e-07,4.58071802711e-10,1.81364085083e-07
cubic,12,square+square_b02,"(0, 1)(0, 1)",4,3,-0.000489248046051,0.588773653199,0.000324158845092,0.500520360988,0.742543101017,-0.00048924804669,-0.000489238518781,-9.52790932106e-09,0.500001405525,0.500520360349,0.500520091688,0.490644710999,0.742543100008,0.742542701438,0.735967066499,6.38884611881e-10,2.69299667899e-07,1.00878327913e-09,3.99578405252e-07
cubic,12,square+square_b02,"(0, 1)(0, 1)",4,5,-0.000489248046051,0.705857617613,0.000324158845092,0.600054210401,0.890205771629,-0.00048924804669,-0.000489238518781,-9.52790932106e-09,0.500001405525,0.600054209632,0.600053887545,0.588214681344,0.890205770416,0.890205292586,0.882322022016,7.68798469331e-10,3.22855663759e-07,1.2136409655e-09,4.79043112955e-07
cubic,12,square+square_b02,"(1, -1)(1, -1)",2,1,-0.00372374490053,0.537515366176,0.0018072395231,0.4569066766,0.67784035768,-0.00372374490138,-0.00372334346146,-4.01439923287e-07,0.500010634493,0.456906676509,0.456904450904,0.447929471813,0.677840357489,0.67783705571,0.67189420772,9.14484599157e-11,2.22569611757e-06,1.91325844057e-10,3.30196987719e-06
cubic,12,square+square_b02,"(1, -1)(1, -1)",2,3,-0.00372374490053,0.840410946363,0.0018072395231,0.714378409706,1.05981055115,-0.00372374490138,-0.00372334346146,-4.01439923287e-07,0.500010634493,0.714378409563,0.714374929807,0.700342455303,1.05981055086,1.05980538849,1.05051368295,1.43007383713e-10,3.47989938987e-06,2.99179570007e-10,5.1626647819e-06
cubic,12,square+square_b02,"(1, -1)(1, -1)",2,5,-0.00372374490053,0.913647580368,0.0018072395231,0.776632084957,1.15216650842,-0.00372374490138,-0.00372334346146,-4.01439923287e-07,0.500010634493,0.776632084802,0.776628301806,0.76137298364,1.1521665081,1.15216089586,1.14205947546,1.55207735553e-10,3.78315091121e-06,3.24863247414e-10,5.61255880926e-06
cubic,12,square+square_b02,"(1, -1)(1, -1)",4,1,-0.00118799815164,0.267237362133,0.000324158845092,0.227180437993,0.337031777459,-0.00118799815149,-0.00118797509298,-2.30585025553e-08,0.500003404252,0.227180438028,0.227180119679,0.222697801778,0.337031777483,0.337031305198,0.334046702667,-3.50375284341e-11,3.18314718389e-07,-2.43056685889e-11,4.72261006523e-07
cubic,12,square+square_b02,"(1, -1)(1, -1)",4,3,-0.00118799815164,0.588773653199,0.000324158845092,0.500520792994,0.742543741916,-0.00118799815149,-0.00118797509298,-2.30585025553e-08,0.500003404252,0.500520793072,0.500520091688,0.490644710999,0.742543741971,0.742542701438,0.735967066499,-7.77692354959e-11,7.01306002049e-07,-5.44029266081e-11,1.04047805294e-06
cubic,12,square+square_b02,"(1, -1)(1, -1)",4,5,-0.00118799815164,0.705857617613,0.000324158845092,0.600054728313,0.890206539974,-0.00118799815149,-0.00118797509298,-2.30585025553e-08,0.500003404252,0.600054728407,0.600053887545,0.588214681344,0.89020654004,0.890205292586,0.882322022016,-9.37362409914e-11,8.40767730659e-07,-6.59655663426e-11,1.24738754437e-06
cubic,12,square+square_b02,"(0, 1)(1, 1)",2,1,-0.00228281512545,0.537515366176,0.0018072395231,0.456940334328,0.677890290342,-0.00228281512558,-0.00228256653033,-2.48595254742e-07,0.500197529858,0.456940334315,0.456904450904,0.447929471813,0.677890290267,0.67783705571,0.67189420772,1.29687927064e-11,3.58834241644e-05,7.49019735125e-11,5.32346313733e-05
cubic,12,square+square_b02,"(0, 1)(1, 1)",2,3,-0.00228281512545,0.840410946363,0.0018072395231,0.714431033919,1.0598886214,-0.00228281512558,-0.00228256653033,-2.48595254742e-07,0.500197529858,0.714431033899,0.714374929807,0.700342455303,1.05988862128,1.05980538849,1.05051368295,2.01070271544e-11,5.61041121185e-05,1.16858078769e-10,8.32329075808e-05
cubic,12,square+square_b02,"(0, 1)(1, 1)",2,5,-0.00228281512545,0.913647580368,0.0018072395231,0.776689295047,1.15225138201,-0.00228281512558,-0.00228256653033,-2.48595254742e-07,0.500197529858,0.776689295024,0.776628301806,0.76137298364,1.15225138188,1.15216089586,1.14205947546,2.26246799073e-11,6.09932404512e-05,1.28177690684e-10,9.04861435973e-05
cubic,12,square+square_b02,"(0, 1)(1, 1)",4,1,-0.000730457931695,0.267237362133,0.000324158845092,0.227185841943,0.337039794447,-0.000730457932125,-0.000730443703231,-1.42288938343e-08,0.50006304483,0.227185841816,0.227180119679,0.222697801778,0.33703979423,0.337031305198,0.334046702667,1.27222066215e-10,5.72226449622e-06,2.16413886811e-10,8.48924880265e-06
cubic,12,square+square_b02,"(0, 1)(1, 1)",4,3,-0.000730457931695,0.588773653199,0.000324158845092,0.500532698902,0.742561404833,-0.000730457932125,-0.000730443703231,-1.42288938343e-08,0.50006304483,0.500532698622,0.500520091688,0.490644710999,0.742561404357,0.742542701438,0.735967066499,2.80076739578e-10,1.26072136288e-05,4.76477968192e-10,1.87033950063e-05
cubic,12,square+square_b02,"(0, 1)(1, 1)",4,5,-0.000730457931695,0.705857617613,0.000324158845092,0.600069001842,0.890227715356,-0.000730457932125,-0.000730443703231,-1.42288938343e-08,0.50006304483,0.600069001503,0.600053887545,0.588214681344,0.890227714781,0.890205292586,0.882322022016,3.3859004489e-10,1.51142962783e-05,5.75410497028e-10,2.24227701588e-05
cubic,12,square+square_b02,"(0, 1)(0, -1)",2,1,0.00156019620135,0.537515366176,0.0018072395231,0.456761043988,0.677624305548,0.00156019620109,0.00156002691001,1.69291074355e-07,0.499215543818,0.45676104408,0.456904450904,0.447929471813,0.677624305628,0.67783705571,0.67189420772,-9.1699647875e-11,-0.000143406915934,-8.03999089527e-11,-0.000212750162644
cubic,12,square+square_b02,"(0, 1)(0, -1)",2,3,0.00156019620135,0.840410946363,0.0018072395231,0.714150711581,1.05947275137,0.00156019620109,0.00156002691001,1.69291074355e-07,0.499215543818,0.714150711724,0.714374929807,0.700342455303,1.05947275149,1.05980538849,1.05051368295,-1.43231426719e-10,-0.000224218226013,-1.25495613901e-10,-0.00033263712382
cubic,12,square+square_b02,"(0, 1)(0, -1)",2,5,0.00156019620135,0.913647580368,0.0018072395231,0.776384544344,1.15179927146,0.00156019620109,0.00156002691001,1.69291074355e-07,0.499215543818,0.7763845445,0.776628301806,0.76137298364,1.1517992716,1.15216089586,1.14205947546,-1.55775170541e-10,-0.000243757462477,-1.36523015115e-10,-0.000361624399004
cubic,12,square+square_b02,"(0, 1)(0, -1)",4,1,0.000498569078445,0.267237362133,0.000324158845092,0.227157335939,0.336997504585,0.00049856907806,0.000498559378442,9.69961842706e-09,0.499749293098,0.22715733612,0.227180119679,0.222697801778,0.336997504826,0.337031305198,0.334046702667,-1.81618609041e-10,-2.27837399369e-05,-2.41767716957e-10,-3.38006130675e-05
cubic,12,square+square_b02,"(0, 1)(0, -1)",4,3,0.000498569078445,0.588773653199,0.000324158845092,0.500469894868,0.742468232396,0.00049856907806,0.000498559378442,9.69961842706e-09,0.499749293098,0.500469895268,0.500520091688,0.490644710999,0.742468232929,0.742542701438,0.735967066499,-4.00176114468e-10,-5.01968201557e-05,-5.3271320688e-10,-7.44690423961e-05
cubic,12,square+square_b02,"(0, 1)(0, -1)",4,5,0.000498569078445,0.705857617613,0.000324158845092,0.599993708548,0.890116014574,0.00049856907806,0.000498559378442,9.69961842706e-09,0.499749293098,0.599993709028,0.600053887545,0.588214681344,0.890116015214,0.890205292586,0.882322022016,-4.80189443763e-10,-6.01789973959e-05,-6.39292729865e-10,-8.92780119237e-05
cubic,12,square+generic,"(0, 1)(0, 1)",2,1,-0.00223504511359,0.537515366176,0.0018072395231,0.731071353691,0.740696787219,-0.00223504511338,-0.00223443516768,-6.09945700143e-07,0.499604647966,0.731071353784,0.730928247719,0.716687154901,0.740696787259,0.740551797031,0.716687154901,-9.22040221951e-11,0.000143105972194,-3.97082366987e-11,0.000144990188111
cubic,12,square+generic,"(0, 1)(0, 1)",2,3,-0.00223504511359,0.840410946363,0.0018072395231,1.14303777506,1.15808724194,-0.00223504511338,-0.00223443516768,-6.09945700143e-07,0.499604647966,1.14303777521,1.14281402736,1.12054792848,1.158087242,1.15786054825,1.12054792848,-1.44320999595e-10,0.000223747697284,-6.22450979648e-11,0.000226693688748
cubic,12,square+generic,"(0, 1)(0, 1)",2,5,-0.00223504511359,0.913647580368,0.0018072395231,1.24264647191,1.25900740707,-0.00223504511338,-0.00223443516768,-6.09945700143e-07,0.499604647966,1.24264647207,1.24240322598,1.21819677382,1.25900740714,1.25876095842,1.21819677382,-1.56200163914e-10,0.000243245930705,-6.6961547418e-11,0.000246448647177
cubic,12,square+generic,"(0, 1)(0, 1)",4,1,-0.000715627420504,0.267237362133,0.000324158845092,0.363500458734,0.368286379404,-0.000715627421077,-0.000715592540398,-3.48806787409e-08,0.499873914854,0.363500458454,0.363477587489,0.356316482844,0.368286379094,0.368263207005,0.356316482844,2.80157730348e-10,2.2871244888e-05,3.1055169547e-10,2.31723990346e-05
cubic,12,square+generic,"(0, 1)(0, 1)",4,3,-0.000715627420504,0.588773653199,0.000324158845092,0.800859173733,0.811403447835,-0.000715627421077,-0.000715592540398,-3.48806787409e-08,0.499873914854,0.800859173115,0.800808784123,0.785031537599,0.811403447151,0.811352394726,0.785031537599,6.17504158917e-10,5.03896100797e-05,6.84471479495e-10,5.10531087262e-05
cubic,12,square+generic,"(0, 1)(0, 1)",4,5,-0.000715627420504,0.705857617613,0.000324158845092,0.960118621722,0.972759737976,-0.000715627421077,-0.000715592540398,-3.48806787409e-08,0.499873914854,0.96011862098,0.960058211595,0.941143490151,0.972759737153,0.972698532406,0.941143490151,7.42308658985e-10,6.04101272391e-05,8.22620305208e-10,6.12055697449e-05
cubic,12,square+generic,"(1, -1)(1, -1)",2,1,-0.005824290693,0.537515366176,0.0018072395231,0.730715656118,0.740336406459,-0.00582429069345,-0.00582272963824,-1.56105521769e-06,0.50058767805,0.730715656082,0.730928247719,0.716687154901,0.740336406369,0.740551797031,0.716687154901,3.59116070214e-11,-0.00021259160107,9.0068064118e-11,-0.000215390571453
cubic,12,square+generic,"(1, -1)(1, -1)",2,3,-0.005824290693,0.840410946363,0.0018072395231,1.14248163815,1.15752378282,-0.00582429069345,-0.00582272963824,-1.56105521769e-06,0.50058767805,1.1424816381,1.14281402736,1.12054792848,1.15752378268,1.15786054825,1.12054792848,5.61597435222e-11,-0.000332389211325,1.4083401112e-10,-0.00033676543105
cubic,12,square+generic,"(1, -1)(1, -1)",2,5,-0.005824290693,0.913647580368,0.0018072395231,1.2420418711,1.25839484596,-0.00582429069345,-0.00582272963824,-1.56105521769e-06,0.50058767805,1.24204187104,1.24240322598,1.21819677382,1.25839484581,1.25876095842,1.21819677382,6.09965411513e-11,-0.000361354882429,1.53050461194e-10,-0.00036611246273
cubic,12,square+generic,"(1, -1)(1, -1)",4,1,-0.00185472320072,0.267237362133,0.000324158845092,0.363443409568,0.368228579117,-0.00185472320013,-0.0018546333762,-8.98239303597e-08,0.500188443236,0.363443409694,0.363477587489,0.356316482844,0.368228579218,0.368263207005,0.356316482844,-1.26013643964e-10,-3.41779216783e-05,-1.00971564443e-10,-3.46278884145e-05
cubic,12,square+generic,"(1, -1)(1, -1)",4,3,-0.00185472320072,0.588773653199,0.000324158845092,0.800733483799,0.811276103042,-0.00185472320013,-0.0018546333762,-8.98239303597e-08,0.500188443236,0.800733484077,0.800808784123,0.785031537599,0.811276103265,0.811352394726,0.785031537599,-2.78177925139e-10,-7.53003239913e-05,-2.2301260838e-10,-7.62916844764e-05
cubic,12,square+generic,"(1, -1)(1, -1)",4,5,-0.00185472320072,0.705857617613,0.000324158845092,0.959967936992,0.972607069301,-0.00185472320013,-0.0018546333762,-8.98239303597e-08,0.500188443236,0.959967937326,0.960058211595,0.941143490151,0.972607069568,0.972698532406,0.941143490151,-3.33722049994e-10,-9.02746023742e-05,-2.6758861793e-10,-9.1463105541e-05
cubic,12,square+generic,"(0, 1)(1, 1)",2,1,-0.00329588834302,0.537515366176,0.0018072395231,0.73097136097,0.740595477973,-0.00329588834335,-0.00329498736481,-9.00978549651e-07,0.499877326207,0.730971360917,0.730928247719,0.716687154901,0.740595477865,0.740551797031,0.716687154901,5.35803623691e-11,4.31132511327e-05,1.07988396003e-10,4.36809426294e-05
cubic,12,square+generic,"(0, 1)(1, 1)",2,3,-0.00329588834302,0.840410946363,0.0018072395231,1.14288143539,1.15792884387,-0.00329588834335,-0.00329498736481,-9.00978549651e-07,0.499877326207,1.1428814353,1.14281402736,1.12054792848,1.1579288437,1.15786054825,1.12054792848,8.40056912921e-11,6.74080232677e-05,1.69076530554e-10,6.82956149161e-05
cubic,12,square+generic,"(0, 1)(1, 1)",2,5,-0.00329588834302,0.913647580368,0.0018072395231,1.2424765082,1.25883520558,-0.00329588834335,-0.00329498736481,-9.00978549651e-07,0.499877326207,1.24247650811,1.24240322598,1.21819677382,1.2588352054,1.25876095842,1.21819677382,9.1179508388e-11,7.32822168714e-05,1.83662862696e-10,7.42471566599e-05
cubic,12,square+generic,"(0, 1)(1, 1)",4,1,-0.00105568111167,0.267237362133,0.000324158845092,0.36348464079,0.368270353197,-0.00105568111241,-0.00105562962548,-5.14869361567e-08,0.499960891575,0.363484640543,0.363477587489,0.356316482844,0.36827035292,0.368263207005,0.356316482844,2.47074083415e-10,7.05330028489e-06,2.77031342311e-10,7.14619216879e-06
cubic,12,square+generic,"(0, 1)(1, 1)",4,3,-0.00105568111167,0.588773653199,0.000324158845092,0.800824323856,0.811368139117,-0.00105568111241,-0.00105562962548,-5.14869361567e-08,0.499960891575,0.800824323312,0.800808784123,0.785031537599,0.811368138507,0.811352394726,0.785031537599,5.43973532885e-10,1.5539733075e-05,6.0997007445e-10,1.57443911816e-05
cubic,12,square+generic,"(0, 1)(1, 1)",4,5,-0.00105568111167,0.705857617613,0.000324158845092,0.960076841574,0.972717407742,-0.00105568111241,-0.00105562962548,-5.14869361567e-08,0.499960891575,0.960076840918,0.960058211595,0.941143490151,0.972717407007,0.972698532406,0.941143490151,6.55231535696e-10,1.86299789775e-05,7.3439376802e-10,1.88753355884e-05
cubic,12,square+generic,"(0, 1)(0, -1)",2,1,0.00240012971153,0.537515366176,0.0018072395231,0.731505706825,0.741136859134,0.00240012971129,0.00239947949537,6.50215916107e-07,0.498420136998,0.731505706921,0.730928247719,0.716687154901,0.741136859177,0.740551797031,0.716687154901,-9.57881551855e-11,0.00057745910603,-4.33075797446e-11,0.000585062103288
cubic,12,square+generic,"(0, 1)(0, -1)",2,3,0.00240012971153,0.840410946363,0.0018072395231,1.14371689077,1.15877529902,0.00240012971129,0.00239947949537,6.50215916107e-07,0.498420136998,1.14371689092,1.14281402736,1.12054792848,1.15877529909,1.15786054825,1.12054792848,-1.49727341636e-10,0.000902863405111,-6.7672534243e-11,0.000914750771545
cubic,12,square+generic,"(0, 1)(0, -1)",2,5,0.00240012971153,0.913647580368,0.0018072395231,1.24338476837,1.25975542408,0.00240012971129,0.00239947949537,6.50215916107e-07,0.498420136998,1.24338476853,1.24240322598,1.21819677382,1.25975542416,1.25876095842,1.21819677382,-1.63229207928e-10,0.000981542385509,-7.40287831036e-11,0.000994465662653
cubic,12,square+generic,"(0, 1)(0, -1)",4,1,0.000767258110955,0.267237362133,0.000324158845092,0.363569307424,0.36835613457,0.000767258110258,0.00076722081239,3.72978678582e-08,0.499495337273,0.363569307765,0.363477587489,0.356316482844,0.368356134888,0.368263207005,0.356316482844,-3.40352079853e-10,9.17199348307e-05,-3.18122750365e-10,9.2927564775e-05
cubic,12,square+generic,"(0, 1)(0, -1)",4,3,0.000767258110955,0.588773653199,0.000324158845092,0.801010860211,0.811557131449,0.000767258110258,0.00076722081239,3.72978678582e-08,0.499495337273,0.801010860962,0.800808784123,0.785031537599,0.81155713215,0.811352394726,0.785031537599,-7.50603246225e-10,0.00020207608873,-7.0163763688e-10,0.00020473672228
cubic,12,square+generic,"(0, 1)(0, -1)",4,5,0.000767258110955,0.705857617613,0.000324158845092,0.960300472684,0.972943983225,0.000767258110258,0.00076722081239,3.72978678582e-08,0.499495337273,0.960300473584,0.960058211595,0.941143490151,0.972943984066,0.972698532406,0.941143490151,-8.99791907649e-10,0.000242261089364,-8.41086866821e-10,0.000245450818473

graph,L,grip,k,sigma,d,C1,C1_formula,Cmark,rho_num,rho_exact,rho_mu2,rho_lead,dev_exact
ring,40,square,0,1,1,0.523424829168,0.523424829179,-0.0652630432208,1.03605018958,1.03605018957,1.03680478561,1,5.15210096808e-12
ring,40,square,0,1,5,0.523424829168,0.523424829179,-0.0652630432208,1.03605018958,1.03605018957,1.03680478561,1,5.14521758532e-12
ring,40,square,0,1,10,0.523424829168,0.523424829179,-0.0652630432208,1.03605018958,1.03605018957,1.03680478561,1,5.14477349611e-12
ring,40,square,0,-1,1,-0.523424829168,-0.523424829179,-0.0878631862926,1.03764191087,1.03764191087,1.03680478561,1,-3.95150578925e-12
ring,40,square,0,-1,5,-0.523424829168,-0.523424829179,-0.0878631862926,1.03764191087,1.03764191087,1.03680478561,1,-3.94795307557e-12
ring,40,square,0,-1,10,-0.523424829168,-0.523424829179,-0.0878631862926,1.03764191087,1.03764191087,1.03680478561,1,-3.94440036189e-12
ring,40,square,1,1,1,0.785137243694,0.785137243768,-0.137979576612,1.03569894357,1.03569894357,1.03680478561,1,1.86317627993e-12
ring,40,square,1,1,5,0.785137243694,0.785137243768,-0.137979576612,1.03569894357,1.03569894357,1.03680478561,1,1.86339832453e-12
ring,40,square,1,1,10,0.785137243694,0.785137243768,-0.137979576612,1.03569894357,1.03569894357,1.03680478561,1,1.86295423532e-12
ring,40,square,1,-1,1,-0.785137243694,-0.785137243768,-0.21645665226,1.03809774135,1.03809774135,1.03680478561,1,4.22950563461e-12
ring,40,square,1,-1,5,-0.785137243694,-0.785137243768,-0.21645665226,1.03809774135,1.03809774135,1.03680478561,1,4.22861745619e-12
ring,40,square,1,-1,10,-0.785137243694,-0.785137243768,-0.21645665226,1.03809774135,1.03809774135,1.03680478561,1,4.23283630369e-12
ring,40,generic,0,1,1,0.539041381919,0.539041381964,-0.061265193279,1.74410710345,1.74410710337,1.74971635162,1.66666666667,8.0369932931e-11
ring,40,generic,0,1,5,0.539041381919,0.539041381964,-0.061265193279,1.74410710345,1.74410710337,1.74971635162,1.66666666667,8.03632715929e-11
ring,40,generic,0,1,10,0.539041381919,0.539041381964,-0.061265193279,1.74410710345,1.74410710337,1.74971635162,1.66666666667,8.03555000317e-11
ring,40,generic,0,-1,1,-0.539041381919,-0.539041381964,-0.100797366354,1.75642148532,1.75642148519,1.74971635162,1.66666666667,1.31431754369e-10
ring,40,generic,0,-1,5,-0.539041381919,-0.539041381964,-0.100797366354,1.75642148532,1.75642148519,1.74971635162,1.66666666667,1.31435307082e-10
ring,40,generic,0,-1,10,-0.539041381919,-0.539041381964,-0.100797366354,1.75642148532,1.75642148519,1.74971635162,1.66666666667,1.31437971618e-10
ring,40,generic,1,1,1,0.808562072604,0.808562072946,-0.125595934791,1.74161103217,1.74161103171,1.74971635162,1.66666666667,4.53842075032e-10
ring,40,generic,1,1,5,0.808562072604,0.808562072946,-0.125595934791,1.74161103217,1.74161103171,1.74971635162,1.66666666667,4.53842963211e-10
ring,40,generic,1,1,10,0.808562072604,0.808562072946,-0.125595934791,1.74161103217,1.74161103171,1.74971635162,1.66666666667,4.53841408898e-10
ring,40,generic,1,-1,1,-0.808562072604,-0.808562072946,-0.270751600514,1.76034338797,1.76034338735,1.74971635162,1.66666666667,6.22323526045e-10
ring,40,generic,1,-1,5,-0.808562072604,-0.808562072946,-0.270751600514,1.76034338797,1.76034338735,1.74971635162,1.66666666667,6.22322193777e-10
ring,40,generic,1,-1,10,-0.808562072604,-0.808562072946,-0.270751600514,1.76034338797,1.76034338735,1.74971635162,1.66666666667,6.2232374809e-10
ring,40,linear,0,1,1,0.5,0.5,-0.0741711794292,1.01940280083e-15,0,0,0,1.01940280083e-15
ring,40,linear,0,1,5,0.5,0.5,-0.0741711794292,-2.69559547707e-17,0,0,0,-2.69559547707e-17
ring,40,linear,0,1,10,0.5,0.5,-0.0741711794292,-1.30220207296e-16,0,0,0,-1.30220207296e-16
ring,40,linear,0,-1,1,-0.5,-0.5,-0.0741711794295,-1.01940280083e-15,0,0,0,-1.01940280083e-15
ring,40,linear,0,-1,5,-0.5,-0.5,-0.0741711794295,2.69559547706e-17,0,0,0,2.69559547706e-17
ring,40,linear,0,-1,10,-0.5,-0.5,-0.0741711794295,1.30220207296e-16,0,0,0,1.30220207296e-16
ring,40,linear,1,1,1,0.75,0.75,-0.166885153716,-7.13492773984e-18,0,0,0,-7.13492773984e-18
ring,40,linear,1,1,5,0.75,0.75,-0.166885153716,-2.39608486851e-17,0,0,0,-2.39608486851e-17
ring,40,linear,1,1,10,0.75,0.75,-0.166885153716,-1.15751295374e-16,0,0,0,-1.15751295374e-16
ring,40,linear,1,-1,1,-0.75,-0.75,-0.166885153716,7.13492773984e-18,0,0,0,7.13492773984e-18
ring,40,linear,1,-1,5,-0.75,-0.75,-0.166885153716,2.39608486851e-17,0,0,0,2.39608486851e-17
ring,40,linear,1,-1,10,-0.75,-0.75,-0.166885153716,1.15751295374e-16,0,0,0,1.15751295374e-16
ring,80,square,0,1,1,0.523424796402,0.523424796412,-0.0652623164737,1.03605007008,1.03605007008,1.03680465762,1,2.88591373021e-12
ring,80,square,0,1,5,0.523424796402,0.523424796412,-0.0652623164737,1.03605007008,1.03605007008,1.03680465762,1,2.88014057048e-12
ring,80,square,0,1,20,0.523424796402,0.523424796412,-0.0652623164737,1.03605007008,1.03605007008,1.03680465762,1,2.88391532877e-12
ring,80,square,0,-1,1,-0.523424796402,-0.523424796412,-0.0878618669942,1.03764177268,1.03764177268,1.03680465762,1,-2.05990779989e-12
ring,80,square,0,-1,5,-0.523424796402,-0.523424796412,-0.0878618669942,1.03764177268,1.03764177268,1.03680465762,1,-2.0605739337e-12
ring,80,square,0,-1,20,-0.523424796402,-0.523424796412,-0.0878618669942,1.03764177268,1.03764177268,1.03680465762,1,-2.06434869199e-12
ring,80,square,1,1,1,0.785137194545,0.785137194619,-0.137978133286,1.03569882782,1.03569882782,1.03680465762,1,-2.0512480603e-12
ring,80,square,1,1,5,0.785137194545,0.785137194619,-0.137978133286,1.03569882782,1.03569882782,1.03680465762,1,-2.04769534662e-12
ring,80,square,1,1,20,0.785137194545,0.785137194619,-0.137978133286,1.03569882782,1.03569882782,1.03680465762,1,-2.04858352504e-12
ring,80,square,1,-1,1,-0.785137194545,-0.785137194619,-0.216453091796,1.03809759722,1.03809759721,1.03680465762,1,8.12372391579e-12
ring,80,square,1,-1,5,-0.785137194545,-0.785137194619,-0.216453091796,1.03809759722,1.03809759721,1.03680465762,1,8.12527822802e-12
ring,80,square,1,-1,20,-0.785137194545,-0.785137194619,-0.216453091796,1.03809759722,1.03809759721,1.03680465762,1,8.12150346974e-12
ring,80,generic,0,1,1,0.539041327309,0.539041327354,-0.0612645701901,1.74410669844,1.74410669836,1.74971588361,1.66666666667,7.50715045683e-11
ring,80,generic,0,1,5,0.539041327309,0.539041327354,-0.0612645701901,1.74410669844,1.74410669836,1.74971588361,1.66666666667,7.50708384345e-11
ring,80,generic,0,1,20,0.539041327309,0.539041327354,-0.0612645701901,1.74410669844,1.74410669836,1.74971588361,1.66666666667,7.50652873194e-11
ring,80,generic,0,-1,1,-0.539041327309,-0.539041327354,-0.100795667565,1.75642093091,1.75642093078,1.74971588361,1.66666666667,1.35712330263e-10
ring,80,generic,0,-1,5,-0.539041327309,-0.539041327354,-0.100795667565,1.75642093091,1.75642093078,1.74971588361,1.66666666667,1.35708777549e-10
ring,80,generic,0,-1,20,-0.539041327309,-0.539041327354,-0.100795667565,1.75642093091,1.75642093078,1.74971588361,1.66666666667,1.35710331861e-10
ring,80,generic,1,1,1,0.808561990688,0.808561991031,-0.12559477229,1.74161065288,1.74161065242,1.74971588361,1.66666666667,4.62885951791e-10
ring,80,generic,1,1,5,0.808561990688,0.808561991031,-0.12559477229,1.74161065288,1.74161065242,1.74971588361,1.66666666667,4.62885285657e-10
ring,80,generic,1,1,20,0.808561990688,0.808561991031,-0.12559477229,1.74161065288,1.74161065242,1.74971588361,1.66666666667,4.62884397479e-10
ring,80,generic,1,-1,1,-0.808561990688,-0.808561991031,-0.270746138055,1.76034277619,1.76034277558,1.74971588361,1.66666666667,6.15596906783e-10
ring,80,generic,1,-1,5,-0.808561990688,-0.808561991031,-0.270746138055,1.76034277619,1.76034277558,1.74971588361,1.66666666667,6.15600015408e-10
ring,80,generic,1,-1,20,-0.808561990688,-0.808561991031,-0.270746138055,1.76034277619,1.76034277558,1.74971588361,1.66666666667,6.15602679943e-10
ring,80,linear,0,1,1,0.5,0.5,-0.0741702264716,0,0,0,0,0
ring,80,linear,0,1,5,0.5,0.5,-0.0741702264716,1.68655452144e-15,0,0,0,1.68655452144e-15
ring,80,linear,0,1,20,0.5,0.5,-0.0741702264716,1.17230206158e-15,0,0,0,1.17230206158e-15
ring,80,linear,0,-1,1,-0.5,-0.5,-0.0741702264709,0,0,0,0,0
ring,80,linear,0,-1,5,-0.5,-0.5,-0.0741702264709,-1.68655452146e-15,0,0,0,-1.68655452146e-15
ring,80,linear,0,-1,20,-0.5,-0.5,-0.0741702264709,-1.17230206159e-15,0,0,0,-1.17230206159e-15
ring,80,linear,1,1,1,0.75,0.75,-0.16688300956,0,0,0,0,0
ring,80,linear,1,1,5,0.75,0.75,-0.16688300956,0,0,0,0,0
ring,80,linear,1,1,20,0.75,0.75,-0.16688300956,0,0,0,0,0
ring,80,linear,1,-1,1,-0.75,-0.75,-0.16688300956,0,0,0,0,0
ring,80,linear,1,-1,5,-0.75,-0.75,-0.16688300956,0,0,0,0,0
ring,80,linear,1,-1,20,-0.75,-0.75,-0.16688300956,0,0,0,0,0
cubic,8,square,0,1,1,0.510105487055,0.510105487052,-0.0105490577419,1.01557930121,1.01557930153,1.01563152709,1,-3.23103321875e-10
cubic,8,square,0,1,2,0.510105487055,0.510105487052,-0.0105490577419,1.01557930121,1.01557930153,1.01563152709,1,-3.23086224441e-10
cubic,8,square,0,1,3,0.510105487055,0.510105487052,-0.0105490577419,1.01557930121,1.01557930153,1.01563152709,1,-3.23142845815e-10
cubic,8,square,0,-1,1,-0.510105487055,-0.510105487052,-0.0110104550009,1.01568455664,1.0156845563,1.01563152709,1,3.37639249892e-10
cubic,8,square,0,-1,2,-0.510105487055,-0.510105487052,-0.0110104550009,1.01568455664,1.0156845563,1.01563152709,1,3.37646133275e-10
cubic,8,square,0,-1,3,-0.510105487055,-0.510105487052,-0.0110104550009,1.01568455664,1.0156845563,1.01563152709,1,3.37798677918e-10
cubic,8,square,1,1,1,0.765158230582,0.765158230577,-0.0234893181279,1.01555348234,1.01555348254,1.01563152709,1,-2.029467705e-10
cubic,8,square,1,1,2,0.765158230582,0.765158230577,-0.0234893181279,1.01555348234,1.01555348254,1.01563152709,1,-2.02940331206e-10
cubic,8,square,1,1,3,0.765158230582,0.765158230577,-0.0234893181279,1.01555348234,1.01555348254,1.01563152709,1,-2.02904137936e-10
cubic,8,square,1,-1,1,-0.765158230582,-0.765158230577,-0.0250474295272,1.01571138034,1.01571138014,1.01563152709,1,2.00389926874e-10
cubic,8,square,1,-1,2,-0.765158230582,-0.765158230577,-0.0250474295272,1.01571138034,1.01571138014,1.01563152709,1,2.00354177693e-10
cubic,8,square,1,-1,3,-0.765158230582,-0.765158230577,-0.0250474295272,1.01571138034,1.01571138014,1.01563152709,1,2.00372607395e-10
cubic,8,generic,0,1,1,0.516842478419,0.516842478419,-0.0104883378408,1.7010973828,1.70109738272,1.70149717469,1.66666666667,8.17450551693e-11
cubic,8,generic,0,1,2,0.516842478419,0.516842478419,-0.0104883378408,1.7010973828,1.70109738272,1.70149717469,1.66666666667,8.17950152054e-11
cubic,8,generic,0,1,3,0.516842478419,0.516842478419,-0.0104883378408,1.7010973828,1.70109738272,1.70149717469,1.66666666667,8.17554912658e-11
cubic,8,generic,0,-1,1,-0.516842478419,-0.516842478419,-0.0112608041567,1.70190739812,1.7019073982,1.70149717469,1.66666666667,-8.10285172292e-11
cubic,8,generic,0,-1,2,-0.516842478419,-0.516842478419,-0.0112608041567,1.70190739812,1.7019073982,1.70149717469,1.66666666667,-8.09690092751e-11
cubic,8,generic,0,-1,3,-0.516842478419,-0.516842478419,-0.0112608041567,1.70190739812,1.7019073982,1.70149717469,1.66666666667,-8.10380651473e-11
cubic,8,generic,1,1,1,0.775263717637,0.775263717629,-0.023201025528,1.70090123485,1.70090123539,1.70149717469,1.66666666667,-5.48189271754e-10
cubic,8,generic,1,1,2,0.775263717637,0.775263717629,-0.023201025528,1.70090123485,1.70090123539,1.70149717469,1.66666666667,-5.48146195101e-10
cubic,8,generic,1,1,3,0.775263717637,0.775263717629,-0.023201025528,1.70090123485,1.70090123539,1.70149717469,1.66666666667,-5.4827586915e-10
cubic,8,generic,1,-1,1,-0.775263717637,-0.775263717629,-0.0258122628633,1.70211659563,1.70211659509,1.70149717469,1.66666666667,5.41155564804e-10
cubic,8,generic,1,-1,2,-0.775263717637,-0.775263717629,-0.0258122628633,1.70211659563,1.70211659509,1.70149717469,1.66666666667,5.41181099933e-10
cubic,8,generic,1,-1,3,-0.775263717637,-0.775263717629,-0.0258122628633,1.70211659563,1.70211659509,1.70149717469,1.66666666667,5.41321654168e-10
cubic,8,linear,0,1,1,0.5,0.5,-0.0107264462812,8.94113615677e-15,0,0,0,8.94113615677e-15
cubic,8,linear,0,1,2,0.5,0.5,-0.0107264462812,1.3033294549e-14,0,0,0,1.3033294549e-14
cubic,8,linear,0,1,3,0.5,0.5,-0.0107264462812,-1.5073553324e-14,0,0,0,-1.5073553324e-14
cubic,8,linear,0,-1,1,-0.5,-0.5,-0.0107264462821,-8.94113615601e-15,0,0,0,-8.94113615601e-15
cubic,8,linear,0,-1,2,-0.5,-0.5,-0.0107264462821,-1.30332945479e-14,0,0,0,-1.30332945479e-14
cubic,8,linear,0,-1,3,-0.5,-0.5,-0.0107264462821,1.50735533228e-14,0,0,0,1.50735533228e-14
cubic,8,linear,1,1,1,0.750000000007,0.75,-0.0241345041406,0,0,0,0,0
cubic,8,linear,1,1,2,0.750000000007,0.75,-0.0241345041406,1.15851507065e-14,0,0,0,1.15851507065e-14
cubic,8,linear,1,1,3,0.750000000007,0.75,-0.0241345041406,0,0,0,0,0
cubic,8,linear,1,-1,1,-0.750000000007,-0.75,-0.0241345041268,0,0,0,0,0
cubic,8,linear,1,-1,2,-0.750000000007,-0.75,-0.0241345041268,-1.15851507131e-14,0,0,0,-1.15851507131e-14
cubic,8,linear,1,-1,3,-0.750000000007,-0.75,-0.0241345041268,0,0,0,0,0
cubic,12,square,0,1,1,0.510073598404,0.510073598419,-0.0101701801765,1.01540702358,1.01540702218,1.01545751295,1,1.40197786713e-09
cubic,12,square,0,1,3,0.510073598404,0.510073598419,-0.0101701801765,1.01540702358,1.01540702218,1.01545751295,1,1.4019996275e-09
cubic,12,square,0,1,5,0.510073598404,0.510073598419,-0.0101701801765,1.01540702358,1.01540702218,1.01545751295,1,1.40208267219e-09
cubic,12,square,0,-1,1,-0.510073598404,-0.510073598419,-0.0105983046104,1.01550876117,1.01550876264,1.01545751295,1,-1.47446455045e-09
cubic,12,square,0,-1,3,-0.510073598404,-0.510073598419,-0.0105983046104,1.01550876117,1.01550876264,1.01545751295,1,-1.47448742105e-09
cubic,12,square,0,-1,5,-0.510073598404,-0.510073598419,-0.0105983046104,1.01550876117,1.01550876264,1.01545751295,1,-1.47445966547e-09
cubic,12,square,1,1,1,0.765110397655,0.765110397628,-0.0226541419835,1.01538205319,1.01538205438,1.01545751295,1,-1.18844156738e-09
cubic,12,square,1,1,3,0.765110397655,0.765110397628,-0.0226541419835,1.01538205319,1.01538205438,1.01545751295,1,-1.18834275753e-09
cubic,12,square,1,1,5,0.765110397655,0.765110397628,-0.0226541419835,1.01538205319,1.01538205438,1.01545751295,1,-1.18839116325e-09
cubic,12,square,1,-1,1,-0.765110397655,-0.765110397628,-0.0240998327821,1.0155346805,1.01553467932,1.01545751295,1,1.17839382696e-09
cubic,12,square,1,-1,3,-0.765110397655,-0.765110397628,-0.0240998327821,1.0155346805,1.01553467932,1.01545751295,1,1.17832743562e-09
cubic,12,square,1,-1,5,-0.765110397655,-0.765110397628,-0.0240998327821,1.0155346805,1.01553467932,1.01545751295,1,1.17837695157e-09
cubic,12,generic,0,1,1,0.51678933072,0.516789330698,-0.0101185442659,1.70042566403,1.70042566774,1.70081206232,1.66666666667,-3.71102881758e-09
cubic,12,generic,0,1,3,0.51678933072,0.516789330698,-0.0101185442659,1.70042566403,1.70042566774,1.70081206232,1.66666666667,-3.71103170416e-09
cubic,12,generic,0,1,5,0.51678933072,0.516789330698,-0.0101185442659,1.70042566403,1.70042566774,1.70081206232,1.66666666667,-3.71096930962e-09
cubic,12,generic,0,-1,1,-0.51678933072,-0.516789330698,-0.0108353898031,1.70120830568,1.70120830209,1.70081206232,1.66666666667,3.5947944621e-09
cubic,12,generic,0,-1,3,-0.51678933072,-0.516789330698,-0.0108353898031,1.70120830568,1.70120830209,1.70081206232,1.66666666667,3.59476759471e-09
cubic,12,generic,0,-1,5,-0.51678933072,-0.516789330698,-0.0108353898031,1.70120830568,1.70120830209,1.70081206232,1.66666666667,3.59470053723e-09
cubic,12,generic,1,1,1,0.775183996029,0.775183996047,-0.0223964339343,1.70023601318,1.70023601197,1.70081206232,1.66666666667,1.21061027869e-09
cubic,12,generic,1,1,3,0.775183996029,0.775183996047,-0.0223964339343,1.70023601318,1.70023601197,1.70081206232,1.66666666667,1.21060761415e-09
cubic,12,generic,1,1,5,0.775183996029,0.775183996047,-0.0223964339343,1.70023601318,1.70023601197,1.70081206232,1.66666666667,1.21061161096e-09
cubic,12,generic,1,-1,1,-0.775183996029,-0.775183996047,-0.0248193716607,1.70141027225,1.70141027347,1.70081206232,1.66666666667,-1.22170829009e-09
cubic,12,generic,1,-1,3,-0.775183996029,-0.775183996047,-0.0248193716607,1.70141027225,1.70141027347,1.70081206232,1.66666666667,-1.22173404726e-09
cubic,12,generic,1,-1,5,-0.775183996029,-0.775183996047,-0.0248193716607,1.70141027225,1.70141027347,1.70081206232,1.66666666667,-1.22175936035e-09
cubic,12,linear,0,1,1,0.500000000011,0.5,-0.0103321061006,-5.51460197938e-16,0,0,0,-5.51460197938e-16
cubic,12,linear,0,1,3,0.500000000011,0.5,-0.0103321061006,9.97355013779e-15,0,0,0,9.97355013779e-15
cubic,12,linear,0,1,5,0.500000000011,0.5,-0.0103321061006,0,0,0,0,0
cubic,12,linear,0,-1,1,-0.500000000011,-0.5,-0.0103321060787,5.51460199103e-16,0,0,0,5.51460199103e-16
cubic,12,linear,0,-1,3,-0.500000000011,-0.5,-0.0103321060787,-9.97355015886e-15,0,0,0,-9.97355015886e-15
cubic,12,linear,0,-1,5,-0.500000000011,-0.5,-0.0103321060787,0,0,0,0,0
cubic,12,linear,1,1,1,0.750000000024,0.75,-0.0232472387255,3.92149474107e-15,0,0,0,3.92149474107e-15
cubic,12,linear,1,1,3,0.750000000024,0.75,-0.0232472387255,5.91025193377e-15,0,0,0,5.91025193377e-15
cubic,12,linear,1,1,5,0.750000000024,0.75,-0.0232472387255,9.37633312648e-15,0,0,0,9.37633312648e-15
cubic,12,linear,1,-1,1,-0.750000000024,-0.75,-0.0232472386776,-3.92149474915e-15,0,0,0,-3.92149474915e-15
cubic,12,linear,1,-1,3,-0.750000000024,-0.75,-0.0232472386776,-5.91025194595e-15,0,0,0,-5.91025194595e-15
cubic,12,linear,1,-1,5,-0.750000000024,-0.75,-0.0232472386776,-9.3763331458e-15,0,0,0,-9.3763331458e-15

kind,m_h,G0,w0,grips,mu,cost,C1,C1_formula,Cmark,rho_num,rho_formula,exists_mu_minus075,U,dWbond_over_U,rho_num_1,rho_num_2
mark,0.3,1.64824843176,0.520551759523,generic,0.5,0.47777618864,0.539041381919,0.539041381964,-0.061265193279,1.74410710345,1.74410710337,True,,,,
mark,0.3,1.64824843176,0.520551759523,generic,0.75,0.682966137813,0.808562072604,0.808562072946,-0.125595934791,1.74161103217,1.74161103171,True,,,,
mark,0.3,1.64824843176,0.520551759523,square,0.5,0.458161785948,0.523424829168,0.523424829179,-0.0652630432208,1.03605018958,1.03605018957,True,,,,
mark,0.3,1.64824843176,0.520551759523,square,0.75,0.647157667082,0.785137243694,0.785137243768,-0.137979576612,1.03569894357,1.03569894357,True,,,,
mark,0.3,1.64824843176,0.520551759523,linear,0.5,0.425828820571,0.5,0.5,-0.0741711794292,-2.69559547707e-17,0,True,,,,
mark,0.3,1.64824843176,0.520551759523,linear,0.75,0.583114846284,0.75,0.75,-0.166885153716,-2.39608486851e-17,0,True,,,,
bond,0.3,1.64824843176,0.520551759523,generic+generic,"0.5,0.5",,,,,,,,-0.047806912573,-0.147446988607,1.85757238547,1.85757238547
bond,0.3,1.64824843176,0.520551759523,generic+generic,"0.5,0.75",,,,,,,,-0.0640918592678,-0.14842642725,1.86991158747,1.86991158747
bond,0.3,1.64824843176,0.520551759523,square+generic,"0.5,0.5",,,,,,,,-0.0524653930652,-0.10920077399,1.33588098638,1.37573743725
mark,0.1,5.18041879746,0.700688175744,generic,0.5,0.416132145506,0.552551608782,0.552551613181,-0.136419463276,1.7711276054,1.77112759564,False,,,,
mark,0.1,5.18041879746,0.700688175744,generic,0.75,0.575979808216,0.828827395463,0.828827419771,-0.252847587247,1.7643127265,1.76431268997,False,,,,
mark,0.1,5.18041879746,0.700688175744,square,0.5,0.370466910505,0.531530966962,0.531530967909,-0.161064056457,1.04938037403,1.04938037399,True,,,,
mark,0.1,5.18041879746,0.700688175744,square,0.75,0.484301537722,0.79729644467,0.797296451863,-0.312994906949,1.04832678722,1.04832678694,True,,,,
mark,0.1,5.18041879746,0.700688175744,linear,0.5,0.266881154114,0.5,0.5,-0.233118845885,6.39469097996e-16,0,True,,,,
mark,0.1,5.18041879746,0.700688175744,linear,0.75,0.225482596758,0.75,0.75,-0.524517403242,0,0,True,,,,
bond,0.1,5.18041879746,0.700688175744,generic+generic,"0.5,0.5",,,,,,,,-0.0925491722167,-1.08587807373,1.79195979039,1.79195979039
bond,0.1,5.18041879746,0.700688175744,generic+generic,"0.5,0.75",,,,,,,,-0.110603589582,-1.09695438996,1.81023837414,1.81023837414
bond,0.1,5.18041879746,0.700688175744,square+generic,"0.5,0.5",,,,,,,,-0.111899345942,-0.849469936904,1.34849993059,1.40182954873
mark,0.03,31.0311929991,1.02031020356,generic,0.5,0.310180595868,0.57652317639,0.576523265267,-0.266342580522,1.78179575171,1.78179554445,False,,,,
mark,0.03,31.0311929991,1.02031020356,generic,0.75,0.436214947616,0.864784727876,0.864784897901,-0.42856978026,1.7650406351,1.76504037675,False,,,,
mark,0.03,31.0311929991,1.02031020356,square,0.5,0.168828254034,0.545913864752,0.54591395916,-0.377085610717,1.06601749045,1.06601747981,False,,,,
mark,0.03,31.0311929991,1.02031020356,square,0.75,0.196823117955,0.818870734096,0.81887093874,-0.622047616141,1.06272916179,1.0627291468,False,,,,
mark,0.03,31.0311929991,1.02031020356,linear,0.5,-0.896403684961,0.5,0.5,-1.39640368496,7.86637717347e-16,0,True,,,,
mark,0.03,31.0311929991,1.02031020356,linear,0.75,-2.39190829116,0.75,0.75,-3.14190829116,0,0,True,,,,
bond,0.03,31.0311929991,1.02031020356,generic+generic,"0.5,0.5",,,,,,,,-0.0560899813113,-1.44025294854,1.61432920122,1.61432920122
bond,0.03,31.0311929991,1.02031020356,generic+generic,"0.5,0.75",,,,,,,,-0.0599262561954,-1.44367918443,1.6181695493,1.6181695493
bond,0.03,31.0311929991,1.02031020356,square+generic,"0.5,0.5",,,,,,,,-0.0555414838649,-1.36065375372,1.44413655549,1.5251092453
mark,0.01,253.322339543,1.85669458078,generic,0.5,0.2713022844,0.639251917135,0.639252093559,-0.367949632735,1.69278641516,1.69278609644,False,,,,
mark,0.01,253.322339543,1.85669458078,generic,0.75,0.394493838179,0.958877866486,0.958878140338,-0.564384028307,1.66968717614,1.66968686034,False,,,,
mark,0.01,253.322339543,1.85669458078,square,0.5,0.0638565288736,0.583550984439,0.583551256135,-0.519694455565,1.07569168174,1.07569164568,False,,,,
mark,0.01,253.322339543,1.85669458078,square,0.75,0.0799619816876,0.875326452949,0.875326884203,-0.795364471262,1.06926848276,1.06926844766,False,,,,
mark,0.01,253.322339543,1.85669458078,linear,0.5,-10.8995052794,0.5,0.5,-11.3995052794,7.42292258397e-16,0,True,,,,
mark,0.01,253.322339543,1.85669458078,linear,0.75,-24.8988868787,0.75,0.75,-25.6488868787,-3.29907670399e-16,0,True,,,,
bond,0.01,253.322339543,1.85669458078,generic+generic,"0.5,0.5",,,,,,,,-0.0222714972583,-0.609169530034,0.725093941056,0.725093941056
bond,0.01,253.322339543,1.85669458078,generic+generic,"0.5,0.75",,,,,,,,-0.0242237451202,-0.579176539547,0.689393311585,0.689393311585
bond,0.01,253.322339543,1.85669458078,square+generic,"0.5,0.5",,,,,,,,0.0165808509545,-1.1785756402,1.2806201022,1.40285751937
mark,0.003,2781.10822306,4.77371632875,generic,0.5,0.267392419194,0.858028519297,0.858028724656,-0.590636100103,1.4492453713,1.44924521647,False,,,,
mark,0.003,2781.10822306,4.77371632875,generic,0.75,0.390574969191,1.28704277533,1.28704308698,-0.896467806137,1.43339141072,1.43339126095,False,,,,
mark,0.003,2781.10822306,4.77371632875,square,0.5,0.0478092150623,0.714816911555,0.714817234794,-0.667007696492,1.06741261638,1.06741258446,False,,,,
mark,0.003,2781.10822306,4.77371632875,square,0.75,0.0636948385474,1.07222536946,1.07222585219,-1.00853053091,1.06033191613,1.06033188776,False,,,,
mark,0.003,2781.10822306,4.77371632875,linear,0.5,-124.649870038,0.5,0.5,-125.149870038,-5.38547374231e-16,0,True,,,,
mark,0.003,2781.10822306,4.77371632875,linear,0.75,-280.837207587,0.75,0.75,-281.587207587,4.78708777094e-16,0,True,,,,
bond,0.003,2781.10822306,4.77371632875,generic+generic,"0.5,0.5",,,,,,,,-0.0183698633091,-0.0701668594232,0.111546146095,0.111546146095
bond,0.003,2781.10822306,4.77371632875,generic+generic,"0.5,0.75",,,,,,,,-0.0203103092213,-0.0653025976189,0.103813298105,0.103813298105
bond,0.003,2781.10822306,4.77371632875,square+generic,"0.5,0.5",,,,,,,,0.0285010037315,-1.35513026586,1.79471986482,2.15428707877
mark,0.001,25003.3311606,13.1070809587,generic,0.5,0.267716360961,1.48303083822,1.4830310719,-1.21531447726,1.21996038796,1.21996034582,False,,,,
mark,0.001,25003.3311606,13.1070809587,generic,0.75,0.390903453366,2.22454624192,2.22454660786,-1.83364278855,1.2129684711,1.21296842868,False,,,,
mark,0.001,25003.3311606,13.1070809587,square,0.5,0.0469945879998,1.08981828925,1.08981864314,-1.04282370125,1.04460054335,1.04460052833,False,,,,
mark,0.001,25003.3311606,13.1070809587,square,0.75,0.0628845146978,1.6347274295,1.63472796471,-1.5718429148,1.03969885165,1.03969883822,False,,,,
mark,0.001,25003.3311606,13.1070809587,linear,0.5,-1124.64990205,0.5,0.5,-1125.14990205,0,0,True,,,,
mark,0.001,25003.3311606,13.1070809587,linear,0.75,-2530.8372796,0.75,0.75,-2531.5872796,-4.25808537404e-16,0,True,,,,
bond,0.001,25003.3311606,13.1070809587,generic+generic,"0.5,0.5",,,,,,,,-0.0186853359912,-0.00770190562869,0.0211533222662,0.0211533222662
bond,0.001,25003.3311606,13.1070809587,generic+generic,"0.5,0.75",,,,,,,,-0.0206284833954,-0.00717539855873,0.0197072679696,0.0197072679696
bond,0.001,25003.3311606,13.1070809587,square+generic,"0.5,0.5",,,,,,,,0.0289498067542,-1.39647909104,2.818504651,3.83543679642

{
 "parameters": {
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