Parameters:
import numpy as np
import matplotlib.pyplot as plt
import seaborn as sns
import re
import pandas as pd # Pandas for tables
from IPython.display import Latex
from IPython.display import HTML
def read_log(file_name):
pow_ind = []
dim_all = []
d_orig_w = []
d_dual_w = []
d_dual_b = []
with open(file_name, 'r') as fp:
wd = fp.read().split("\n")[:]
len_all = 0
for i in range(len(wd)):
if wd[i].startswith("j, k, l, r ="):
pow_ind.append([int(i) for i in re.findall(r"\d+", wd[i])])
len_all = len_all + 1
elif wd[i].startswith("Dimension:"):
dim_all.append([int(i) for i in re.findall(r"\d+", wd[i])])
elif wd[i].startswith("WD orig D (word):"):
d_orig_w.append([int(i) for i in re.findall(r"\d+", wd[i])])
elif wd[i].startswith("WD dual D (word):"):
d_dual_w.append([int(i) for i in re.findall(r"\d+", wd[i])])
elif wd[i].startswith("WD dual D (bit):"):
d_dual_b.append([int(i) for i in re.findall(r"\d+", wd[i]+wd[i+1])])
else:
continue
return pow_ind, d_dual_b
pow_ind, d_dual_b = read_log("./magma_paper/gen_codes_sss_5_2_4b.log") # indices and Weight distributions
print(len(pow_ind)) # 91 entries: 771 for (5,2)-SSS
#print(len(d_dual_b))
1001
alpha_all = np.array(['$\\alpha^{%d}$'%i for i in np.arange(15)])
d_all = np.zeros(len(pow_ind))
B_all = np.zeros(len(pow_ind))
alpha_2 = np.zeros(len(pow_ind), dtype=int)
alpha_3 = np.zeros(len(pow_ind), dtype=int)
alpha_4 = np.zeros(len(pow_ind), dtype=int)
alpha_5 = np.zeros(len(pow_ind), dtype=int)
for i in range(len(pow_ind)):
d_all[i] = d_dual_b[i][2]
B_all[i] = d_dual_b[i][3]
alpha_2[i] = pow_ind[i][0]
alpha_3[i] = pow_ind[i][1]
alpha_4[i] = pow_ind[i][2]
alpha_5[i] = pow_ind[i][3]
# Set properties for th, td and caption elements in dataframe
th_props = [('font-size', '14px'), ('text-align', 'left'), ('font-weight', 'bold'), ('background-color', '#E0E0E0')]
td_props = [('font-size', '13px'), ('text-align', 'left'), ('min-width', '60px')]
cp_props = [('font-size', '16px'), ('text-align', 'center')]
# Set table styles
styles = [dict(selector="th", props=th_props), dict(selector="td", props=td_props), dict(selector="caption", props=cp_props)]
cm_1 = sns.light_palette("red", as_cmap=True)
cm_2 = sns.light_palette("purple", as_cmap=True, reverse=True)
We only show the first 500 codes because of the limit on file size..
c_max = 500
df = pd.DataFrame({'$\\alpha_2$': alpha_all[alpha_2[:c_max]], '$\\alpha_3$': alpha_all[alpha_3[:c_max]], '$\\alpha_4$': alpha_all[alpha_4[:c_max]],
'$\\alpha_5$': alpha_all[alpha_5[:c_max]], '$d_{\mathcal{D}}^\perp$': d_all[:c_max],
'$B_{d_{\mathcal{D}}^\perp}$': B_all[:c_max], 'Weight Enumerators* (the first 24 elements)': d_dual_b[:c_max]})
pd.set_option('display.max_colwidth', 1000)
pd.set_option('display.width', 800)
(df.style
.background_gradient(cmap=cm_1, subset=['$d_{\mathcal{D}}^\perp$','$B_{d_{\mathcal{D}}^\perp}$' ])
.background_gradient(cmap=cm_2, subset=['$B_{d_{\mathcal{D}}^\perp}$' ])
.set_caption('Tab. I All linear codes for (5,2)-SSS-based masking with $n=5$ shares over $\mathbb{F}_{2^4}$.')
.set_table_styles(styles))
$\alpha_2$ | $\alpha_3$ | $\alpha_4$ | $\alpha_5$ | $d_{\mathcal{D}}^\perp$ | $B_{d_{\mathcal{D}}^\perp}$ | Weight Enumerators* (the first 24 elements) | |
---|---|---|---|---|---|---|---|
0 | $\alpha^{1}$ | $\alpha^{2}$ | $\alpha^{3}$ | $\alpha^{4}$ | 3 | 4 | [0, 1, 3, 4, 4, 14, 5, 63, 6, 156, 7, 302, 8, 500, 9, 645, 10, 712, 11, 680, 1, 2, 3, 5] |
1 | $\alpha^{1}$ | $\alpha^{2}$ | $\alpha^{3}$ | $\alpha^{5}$ | 3 | 4 | [0, 1, 3, 4, 4, 13, 5, 67, 6, 165, 7, 288, 8, 477, 9, 663, 10, 735, 11, 668, 1, 2, 3, 6] |
2 | $\alpha^{1}$ | $\alpha^{2}$ | $\alpha^{3}$ | $\alpha^{6}$ | 3 | 6 | [0, 1, 3, 6, 4, 14, 5, 61, 6, 157, 7, 288, 8, 502, 9, 683, 10, 695, 11, 638, 1, 2, 3, 7] |
3 | $\alpha^{1}$ | $\alpha^{2}$ | $\alpha^{3}$ | $\alpha^{7}$ | 3 | 3 | [0, 1, 3, 3, 4, 16, 5, 60, 6, 155, 7, 315, 8, 490, 9, 644, 10, 723, 11, 649, 1, 2, 3, 8] |
4 | $\alpha^{1}$ | $\alpha^{2}$ | $\alpha^{3}$ | $\alpha^{8}$ | 3 | 6 | [0, 1, 3, 6, 4, 12, 5, 61, 6, 166, 7, 288, 8, 486, 9, 683, 10, 710, 11, 638, 1, 2, 3, 9] |
5 | $\alpha^{1}$ | $\alpha^{2}$ | $\alpha^{3}$ | $\alpha^{9}$ | 3 | 4 | [0, 1, 3, 4, 4, 15, 5, 64, 6, 150, 7, 296, 8, 515, 9, 660, 10, 692, 11, 660, 1, 2, 3, 10] |
6 | $\alpha^{1}$ | $\alpha^{2}$ | $\alpha^{3}$ | $\alpha^{10}$ | 4 | 18 | [0, 1, 4, 18, 5, 72, 6, 145, 7, 300, 8, 510, 9, 644, 10, 703, 11, 664, 12, 506, 1, 2, 3, 11] |
7 | $\alpha^{1}$ | $\alpha^{2}$ | $\alpha^{3}$ | $\alpha^{11}$ | 3 | 1 | [0, 1, 3, 1, 4, 17, 5, 70, 6, 148, 7, 301, 8, 503, 9, 642, 10, 720, 11, 667, 1, 2, 3, 12] |
8 | $\alpha^{1}$ | $\alpha^{2}$ | $\alpha^{3}$ | $\alpha^{12}$ | 3 | 1 | [0, 1, 3, 1, 4, 17, 5, 67, 6, 152, 7, 305, 8, 494, 9, 651, 10, 720, 11, 651, 1, 2, 3, 13] |
9 | $\alpha^{1}$ | $\alpha^{2}$ | $\alpha^{3}$ | $\alpha^{13}$ | 4 | 21 | [0, 1, 4, 21, 5, 63, 6, 152, 7, 312, 8, 479, 9, 655, 10, 728, 11, 648, 12, 503, 1, 2, 3, 14] |
10 | $\alpha^{1}$ | $\alpha^{2}$ | $\alpha^{3}$ | $\alpha^{14}$ | 3 | 4 | [0, 1, 3, 4, 4, 14, 5, 63, 6, 156, 7, 302, 8, 500, 9, 645, 10, 712, 11, 680, 1, 2, 4, 5] |
11 | $\alpha^{1}$ | $\alpha^{2}$ | $\alpha^{4}$ | $\alpha^{5}$ | 3 | 8 | [0, 1, 3, 8, 4, 13, 5, 49, 6, 165, 7, 316, 8, 477, 9, 653, 10, 735, 11, 648, 1, 2, 4, 6] |
12 | $\alpha^{1}$ | $\alpha^{2}$ | $\alpha^{4}$ | $\alpha^{6}$ | 3 | 7 | [0, 1, 3, 7, 4, 14, 5, 52, 6, 155, 7, 311, 8, 504, 9, 660, 10, 707, 11, 645, 1, 2, 4, 7] |
13 | $\alpha^{1}$ | $\alpha^{2}$ | $\alpha^{4}$ | $\alpha^{7}$ | 3 | 6 | [0, 1, 3, 6, 4, 10, 5, 58, 6, 178, 7, 302, 8, 456, 9, 658, 10, 750, 11, 658, 1, 2, 4, 8] |
14 | $\alpha^{1}$ | $\alpha^{2}$ | $\alpha^{4}$ | $\alpha^{8}$ | 3 | 9 | [0, 1, 3, 9, 4, 12, 5, 46, 6, 166, 7, 313, 8, 480, 9, 670, 10, 732, 11, 635, 1, 2, 4, 9] |
15 | $\alpha^{1}$ | $\alpha^{2}$ | $\alpha^{4}$ | $\alpha^{9}$ | 3 | 4 | [0, 1, 3, 4, 4, 11, 5, 62, 6, 170, 7, 304, 8, 475, 9, 650, 10, 732, 11, 660, 1, 2, 4, 10] |
16 | $\alpha^{1}$ | $\alpha^{2}$ | $\alpha^{4}$ | $\alpha^{10}$ | 3 | 8 | [0, 1, 3, 8, 4, 13, 5, 52, 6, 162, 7, 300, 8, 485, 9, 680, 10, 732, 11, 640, 1, 2, 4, 11] |
17 | $\alpha^{1}$ | $\alpha^{2}$ | $\alpha^{4}$ | $\alpha^{11}$ | 3 | 5 | [0, 1, 3, 5, 4, 13, 5, 60, 6, 160, 7, 301, 8, 495, 9, 660, 10, 712, 11, 655, 1, 2, 4, 12] |
18 | $\alpha^{1}$ | $\alpha^{2}$ | $\alpha^{4}$ | $\alpha^{12}$ | 3 | 5 | [0, 1, 3, 5, 4, 14, 5, 58, 6, 160, 7, 303, 8, 488, 9, 672, 10, 720, 11, 627, 1, 2, 4, 13] |
19 | $\alpha^{1}$ | $\alpha^{2}$ | $\alpha^{4}$ | $\alpha^{13}$ | 3 | 5 | [0, 1, 3, 5, 4, 14, 5, 58, 6, 158, 7, 309, 8, 490, 9, 650, 10, 732, 11, 655, 1, 2, 4, 14] |
20 | $\alpha^{1}$ | $\alpha^{2}$ | $\alpha^{4}$ | $\alpha^{14}$ | 3 | 4 | [0, 1, 3, 4, 4, 13, 5, 67, 6, 165, 7, 288, 8, 477, 9, 663, 10, 735, 11, 668, 1, 2, 5, 6] |
21 | $\alpha^{1}$ | $\alpha^{2}$ | $\alpha^{5}$ | $\alpha^{6}$ | 3 | 6 | [0, 1, 3, 6, 4, 13, 5, 59, 6, 165, 7, 298, 8, 477, 9, 663, 10, 735, 11, 658, 1, 2, 5, 7] |
22 | $\alpha^{1}$ | $\alpha^{2}$ | $\alpha^{5}$ | $\alpha^{7}$ | 3 | 7 | [0, 1, 3, 7, 4, 14, 5, 56, 6, 162, 7, 299, 8, 478, 9, 668, 10, 740, 11, 653, 1, 2, 5, 8] |
23 | $\alpha^{1}$ | $\alpha^{2}$ | $\alpha^{5}$ | $\alpha^{8}$ | 3 | 8 | [0, 1, 3, 8, 4, 12, 5, 53, 6, 172, 7, 304, 8, 464, 9, 661, 10, 738, 11, 656, 1, 2, 5, 9] |
24 | $\alpha^{1}$ | $\alpha^{2}$ | $\alpha^{5}$ | $\alpha^{9}$ | 3 | 5 | [0, 1, 3, 5, 4, 16, 5, 62, 6, 154, 7, 297, 8, 488, 9, 658, 10, 740, 11, 663, 1, 2, 5, 10] |
25 | $\alpha^{1}$ | $\alpha^{2}$ | $\alpha^{5}$ | $\alpha^{10}$ | 3 | 8 | [0, 1, 3, 8, 4, 11, 5, 50, 6, 170, 7, 308, 8, 475, 9, 670, 10, 732, 11, 640, 1, 2, 5, 11] |
26 | $\alpha^{1}$ | $\alpha^{2}$ | $\alpha^{5}$ | $\alpha^{11}$ | 3 | 5 | [0, 1, 3, 5, 4, 15, 5, 61, 6, 159, 7, 301, 8, 477, 9, 653, 10, 755, 11, 663, 1, 2, 5, 12] |
27 | $\alpha^{1}$ | $\alpha^{2}$ | $\alpha^{5}$ | $\alpha^{12}$ | 3 | 4 | [0, 1, 3, 4, 4, 14, 5, 60, 6, 164, 7, 308, 8, 468, 9, 652, 10, 760, 11, 652, 1, 2, 5, 13] |
28 | $\alpha^{1}$ | $\alpha^{2}$ | $\alpha^{5}$ | $\alpha^{13}$ | 3 | 5 | [0, 1, 3, 5, 4, 15, 5, 56, 6, 155, 7, 311, 8, 497, 9, 662, 10, 715, 11, 627, 1, 2, 5, 14] |
29 | $\alpha^{1}$ | $\alpha^{2}$ | $\alpha^{5}$ | $\alpha^{14}$ | 3 | 6 | [0, 1, 3, 6, 4, 14, 5, 61, 6, 157, 7, 288, 8, 502, 9, 683, 10, 695, 11, 638, 1, 2, 6, 7] |
30 | $\alpha^{1}$ | $\alpha^{2}$ | $\alpha^{6}$ | $\alpha^{7}$ | 3 | 4 | [0, 1, 3, 4, 4, 11, 5, 64, 6, 164, 7, 296, 8, 500, 9, 660, 10, 696, 11, 660, 1, 2, 6, 8] |
31 | $\alpha^{1}$ | $\alpha^{2}$ | $\alpha^{6}$ | $\alpha^{8}$ | 3 | 7 | [0, 1, 3, 7, 4, 14, 5, 55, 6, 162, 7, 305, 8, 478, 9, 653, 10, 740, 11, 673, 1, 2, 6, 9] |
32 | $\alpha^{1}$ | $\alpha^{2}$ | $\alpha^{6}$ | $\alpha^{9}$ | 3 | 2 | [0, 1, 3, 2, 4, 17, 5, 67, 6, 154, 7, 296, 8, 481, 9, 669, 10, 748, 11, 634, 1, 2, 6, 10] |
33 | $\alpha^{1}$ | $\alpha^{2}$ | $\alpha^{6}$ | $\alpha^{10}$ | 3 | 2 | [0, 1, 3, 2, 4, 17, 5, 66, 6, 150, 7, 302, 8, 501, 9, 654, 10, 708, 11, 654, 1, 2, 6, 11] |
34 | $\alpha^{1}$ | $\alpha^{2}$ | $\alpha^{6}$ | $\alpha^{11}$ | 3 | 7 | [0, 1, 3, 7, 4, 15, 5, 54, 6, 151, 7, 301, 8, 509, 9, 680, 10, 707, 11, 625, 1, 2, 6, 12] |
35 | $\alpha^{1}$ | $\alpha^{2}$ | $\alpha^{6}$ | $\alpha^{12}$ | 3 | 2 | [0, 1, 3, 2, 4, 22, 5, 53, 6, 147, 7, 330, 8, 488, 9, 645, 10, 723, 11, 638, 1, 2, 6, 13] |
36 | $\alpha^{1}$ | $\alpha^{2}$ | $\alpha^{6}$ | $\alpha^{13}$ | 3 | 6 | [0, 1, 3, 6, 4, 12, 5, 58, 6, 164, 7, 298, 8, 490, 9, 670, 10, 712, 11, 650, 1, 2, 6, 14] |
37 | $\alpha^{1}$ | $\alpha^{2}$ | $\alpha^{6}$ | $\alpha^{14}$ | 3 | 3 | [0, 1, 3, 3, 4, 16, 5, 60, 6, 155, 7, 315, 8, 490, 9, 644, 10, 723, 11, 649, 1, 2, 7, 8] |
38 | $\alpha^{1}$ | $\alpha^{2}$ | $\alpha^{7}$ | $\alpha^{8}$ | 3 | 6 | [0, 1, 3, 6, 4, 10, 5, 59, 6, 173, 7, 292, 8, 474, 9, 685, 10, 727, 11, 630, 1, 2, 7, 9] |
39 | $\alpha^{1}$ | $\alpha^{2}$ | $\alpha^{7}$ | $\alpha^{9}$ | 3 | 6 | [0, 1, 3, 6, 4, 12, 5, 57, 6, 166, 7, 302, 8, 480, 9, 665, 10, 732, 11, 650, 1, 2, 7, 10] |
40 | $\alpha^{1}$ | $\alpha^{2}$ | $\alpha^{7}$ | $\alpha^{10}$ | 3 | 2 | [0, 1, 3, 2, 4, 14, 5, 69, 6, 161, 7, 292, 8, 482, 9, 667, 10, 735, 11, 642, 1, 2, 7, 11] |
41 | $\alpha^{1}$ | $\alpha^{2}$ | $\alpha^{7}$ | $\alpha^{11}$ | 3 | 3 | [0, 1, 3, 3, 4, 17, 5, 59, 6, 155, 7, 315, 8, 483, 9, 651, 10, 731, 11, 641, 1, 2, 7, 12] |
42 | $\alpha^{1}$ | $\alpha^{2}$ | $\alpha^{7}$ | $\alpha^{12}$ | 3 | 6 | [0, 1, 3, 6, 4, 13, 5, 56, 6, 160, 7, 308, 8, 495, 9, 650, 10, 712, 11, 670, 1, 2, 7, 13] |
43 | $\alpha^{1}$ | $\alpha^{2}$ | $\alpha^{7}$ | $\alpha^{13}$ | 3 | 2 | [0, 1, 3, 2, 4, 16, 5, 63, 6, 154, 7, 314, 8, 496, 9, 639, 10, 708, 11, 654, 1, 2, 7, 14] |
44 | $\alpha^{1}$ | $\alpha^{2}$ | $\alpha^{7}$ | $\alpha^{14}$ | 3 | 6 | [0, 1, 3, 6, 4, 12, 5, 61, 6, 166, 7, 288, 8, 486, 9, 683, 10, 710, 11, 638, 1, 2, 8, 9] |
45 | $\alpha^{1}$ | $\alpha^{2}$ | $\alpha^{8}$ | $\alpha^{9}$ | 3 | 4 | [0, 1, 3, 4, 4, 15, 5, 67, 6, 154, 7, 288, 8, 501, 9, 663, 10, 710, 11, 668, 1, 2, 8, 10] |
46 | $\alpha^{1}$ | $\alpha^{2}$ | $\alpha^{8}$ | $\alpha^{10}$ | 3 | 8 | [0, 1, 3, 8, 4, 11, 5, 50, 6, 170, 7, 308, 8, 475, 9, 670, 10, 732, 11, 640, 1, 2, 8, 11] |
47 | $\alpha^{1}$ | $\alpha^{2}$ | $\alpha^{8}$ | $\alpha^{11}$ | 3 | 6 | [0, 1, 3, 6, 4, 17, 5, 54, 6, 152, 7, 316, 8, 491, 9, 640, 10, 728, 11, 670, 1, 2, 8, 12] |
48 | $\alpha^{1}$ | $\alpha^{2}$ | $\alpha^{8}$ | $\alpha^{12}$ | 3 | 4 | [0, 1, 3, 4, 4, 12, 5, 61, 6, 163, 7, 308, 8, 494, 9, 645, 10, 707, 11, 660, 1, 2, 8, 13] |
49 | $\alpha^{1}$ | $\alpha^{2}$ | $\alpha^{8}$ | $\alpha^{13}$ | 3 | 4 | [0, 1, 3, 4, 4, 11, 5, 62, 6, 167, 7, 304, 8, 489, 9, 650, 10, 707, 11, 660, 1, 2, 8, 14] |
50 | $\alpha^{1}$ | $\alpha^{2}$ | $\alpha^{8}$ | $\alpha^{14}$ | 3 | 4 | [0, 1, 3, 4, 4, 15, 5, 64, 6, 150, 7, 296, 8, 515, 9, 660, 10, 692, 11, 660, 1, 2, 9, 10] |
51 | $\alpha^{1}$ | $\alpha^{2}$ | $\alpha^{9}$ | $\alpha^{10}$ | 3 | 2 | [0, 1, 3, 2, 4, 17, 5, 70, 6, 148, 7, 288, 8, 503, 9, 672, 10, 720, 11, 642, 1, 2, 9, 11] |
52 | $\alpha^{1}$ | $\alpha^{2}$ | $\alpha^{9}$ | $\alpha^{11}$ | 3 | 5 | [0, 1, 3, 5, 4, 14, 5, 62, 6, 159, 7, 297, 8, 492, 9, 658, 10, 715, 11, 663, 1, 2, 9, 12] |
53 | $\alpha^{1}$ | $\alpha^{2}$ | $\alpha^{9}$ | $\alpha^{12}$ | 3 | 1 | [0, 1, 3, 1, 4, 22, 5, 57, 6, 162, 7, 303, 8, 454, 9, 699, 10, 740, 11, 615, 1, 2, 9, 13] |
54 | $\alpha^{1}$ | $\alpha^{2}$ | $\alpha^{9}$ | $\alpha^{13}$ | 3 | 1 | [0, 1, 3, 1, 4, 15, 5, 71, 6, 156, 7, 293, 8, 496, 9, 659, 10, 712, 11, 659, 1, 2, 9, 14] |
55 | $\alpha^{1}$ | $\alpha^{2}$ | $\alpha^{9}$ | $\alpha^{14}$ | 4 | 18 | [0, 1, 4, 18, 5, 72, 6, 145, 7, 300, 8, 510, 9, 644, 10, 703, 11, 664, 12, 506, 1, 2, 10, 11] |
56 | $\alpha^{1}$ | $\alpha^{2}$ | $\alpha^{10}$ | $\alpha^{11}$ | 3 | 3 | [0, 1, 3, 3, 4, 15, 5, 68, 6, 149, 7, 291, 8, 519, 9, 660, 10, 687, 11, 665, 1, 2, 10, 12] |
57 | $\alpha^{1}$ | $\alpha^{2}$ | $\alpha^{10}$ | $\alpha^{12}$ | 4 | 17 | [0, 1, 4, 17, 5, 70, 6, 151, 7, 308, 8, 495, 9, 634, 10, 723, 11, 664, 12, 491, 1, 2, 10, 13] |
58 | $\alpha^{1}$ | $\alpha^{2}$ | $\alpha^{10}$ | $\alpha^{13}$ | 3 | 1 | [0, 1, 3, 1, 4, 17, 5, 71, 6, 153, 7, 291, 8, 485, 9, 669, 10, 743, 11, 639, 1, 2, 10, 14] |
59 | $\alpha^{1}$ | $\alpha^{2}$ | $\alpha^{10}$ | $\alpha^{14}$ | 3 | 1 | [0, 1, 3, 1, 4, 17, 5, 70, 6, 148, 7, 301, 8, 503, 9, 642, 10, 720, 11, 667, 1, 2, 11, 12] |
60 | $\alpha^{1}$ | $\alpha^{2}$ | $\alpha^{11}$ | $\alpha^{12}$ | 3 | 7 | [0, 1, 3, 7, 4, 15, 5, 52, 6, 152, 7, 311, 8, 505, 9, 660, 10, 712, 11, 645, 1, 2, 11, 13] |
61 | $\alpha^{1}$ | $\alpha^{2}$ | $\alpha^{11}$ | $\alpha^{13}$ | 3 | 1 | [0, 1, 3, 1, 4, 20, 5, 64, 6, 140, 7, 317, 8, 512, 9, 636, 10, 706, 11, 651, 1, 2, 11, 14] |
62 | $\alpha^{1}$ | $\alpha^{2}$ | $\alpha^{11}$ | $\alpha^{14}$ | 3 | 1 | [0, 1, 3, 1, 4, 17, 5, 67, 6, 152, 7, 305, 8, 494, 9, 651, 10, 720, 11, 651, 1, 2, 12, 13] |
63 | $\alpha^{1}$ | $\alpha^{2}$ | $\alpha^{12}$ | $\alpha^{13}$ | 3 | 4 | [0, 1, 3, 4, 4, 11, 5, 62, 6, 167, 7, 304, 8, 489, 9, 650, 10, 707, 11, 660, 1, 2, 12, 14] |
64 | $\alpha^{1}$ | $\alpha^{2}$ | $\alpha^{12}$ | $\alpha^{14}$ | 4 | 21 | [0, 1, 4, 21, 5, 63, 6, 152, 7, 312, 8, 479, 9, 655, 10, 728, 11, 648, 12, 503, 1, 2, 13, 14] |
65 | $\alpha^{1}$ | $\alpha^{2}$ | $\alpha^{13}$ | $\alpha^{14}$ | 3 | 4 | [0, 1, 3, 4, 4, 14, 5, 63, 6, 156, 7, 302, 8, 500, 9, 645, 10, 712, 11, 680, 1, 3, 4, 5] |
66 | $\alpha^{1}$ | $\alpha^{3}$ | $\alpha^{4}$ | $\alpha^{5}$ | 3 | 4 | [0, 1, 3, 4, 4, 11, 5, 62, 6, 167, 7, 304, 8, 489, 9, 650, 10, 707, 11, 660, 1, 3, 4, 6] |
67 | $\alpha^{1}$ | $\alpha^{3}$ | $\alpha^{4}$ | $\alpha^{6}$ | 3 | 7 | [0, 1, 3, 7, 4, 14, 5, 55, 6, 157, 7, 303, 8, 502, 9, 663, 10, 695, 11, 653, 1, 3, 4, 7] |
68 | $\alpha^{1}$ | $\alpha^{3}$ | $\alpha^{4}$ | $\alpha^{7}$ | 3 | 9 | [0, 1, 3, 9, 4, 15, 5, 47, 6, 154, 7, 309, 8, 495, 9, 675, 10, 732, 11, 635, 1, 3, 4, 8] |
69 | $\alpha^{1}$ | $\alpha^{3}$ | $\alpha^{4}$ | $\alpha^{8}$ | 3 | 5 | [0, 1, 3, 5, 4, 10, 5, 58, 6, 174, 7, 309, 8, 470, 9, 650, 10, 732, 11, 655, 1, 3, 4, 9] |
70 | $\alpha^{1}$ | $\alpha^{3}$ | $\alpha^{4}$ | $\alpha^{9}$ | 3 | 10 | [0, 1, 3, 10, 4, 15, 5, 40, 6, 154, 7, 326, 8, 495, 9, 660, 10, 732, 11, 630, 1, 3, 4, 10] |
71 | $\alpha^{1}$ | $\alpha^{3}$ | $\alpha^{4}$ | $\alpha^{10}$ | 3 | 4 | [0, 1, 3, 4, 4, 12, 5, 59, 6, 167, 7, 312, 8, 482, 9, 647, 10, 715, 11, 652, 1, 3, 4, 11] |
72 | $\alpha^{1}$ | $\alpha^{3}$ | $\alpha^{4}$ | $\alpha^{11}$ | 3 | 4 | [0, 1, 3, 4, 4, 11, 5, 63, 6, 166, 7, 300, 8, 493, 9, 655, 10, 702, 11, 660, 1, 3, 4, 12] |
73 | $\alpha^{1}$ | $\alpha^{3}$ | $\alpha^{4}$ | $\alpha^{12}$ | 3 | 6 | [0, 1, 3, 6, 4, 14, 5, 53, 6, 156, 7, 320, 8, 500, 9, 635, 10, 712, 11, 670, 1, 3, 4, 13] |
74 | $\alpha^{1}$ | $\alpha^{3}$ | $\alpha^{4}$ | $\alpha^{13}$ | 3 | 4 | [0, 1, 3, 4, 4, 16, 5, 61, 6, 153, 7, 310, 8, 500, 9, 635, 10, 703, 11, 680, 1, 3, 4, 14] |
75 | $\alpha^{1}$ | $\alpha^{3}$ | $\alpha^{4}$ | $\alpha^{14}$ | 3 | 8 | [0, 1, 3, 8, 4, 13, 5, 49, 6, 165, 7, 316, 8, 477, 9, 653, 10, 735, 11, 648, 1, 3, 5, 6] |
76 | $\alpha^{1}$ | $\alpha^{3}$ | $\alpha^{5}$ | $\alpha^{6}$ | 3 | 2 | [0, 1, 3, 2, 4, 17, 5, 67, 6, 148, 7, 302, 8, 503, 9, 647, 10, 720, 11, 662, 1, 3, 5, 7] |
77 | $\alpha^{1}$ | $\alpha^{3}$ | $\alpha^{5}$ | $\alpha^{7}$ | 3 | 2 | [0, 1, 3, 2, 4, 17, 5, 64, 6, 152, 7, 312, 8, 491, 9, 634, 10, 728, 11, 674, 1, 3, 5, 8] |
78 | $\alpha^{1}$ | $\alpha^{3}$ | $\alpha^{5}$ | $\alpha^{8}$ | 4 | 17 | [0, 1, 4, 17, 5, 68, 6, 164, 7, 294, 8, 471, 9, 678, 10, 720, 11, 636, 12, 515, 1, 3, 5, 9] |
79 | $\alpha^{1}$ | $\alpha^{3}$ | $\alpha^{5}$ | $\alpha^{9}$ | 3 | 4 | [0, 1, 3, 4, 4, 14, 5, 61, 6, 153, 7, 310, 8, 514, 9, 635, 10, 687, 11, 680, 1, 3, 5, 10] |
80 | $\alpha^{1}$ | $\alpha^{3}$ | $\alpha^{5}$ | $\alpha^{10}$ | 3 | 4 | [0, 1, 3, 4, 4, 11, 5, 63, 6, 170, 7, 298, 8, 475, 9, 665, 10, 732, 11, 640, 1, 3, 5, 11] |
81 | $\alpha^{1}$ | $\alpha^{3}$ | $\alpha^{5}$ | $\alpha^{11}$ | 3 | 4 | [0, 1, 3, 4, 4, 13, 5, 62, 6, 158, 7, 304, 8, 505, 9, 650, 10, 692, 11, 660, 1, 3, 5, 12] |
82 | $\alpha^{1}$ | $\alpha^{3}$ | $\alpha^{5}$ | $\alpha^{12}$ | 3 | 1 | [0, 1, 3, 1, 4, 16, 5, 69, 6, 152, 7, 305, 8, 498, 9, 637, 10, 720, 11, 667, 1, 3, 5, 13] |
83 | $\alpha^{1}$ | $\alpha^{3}$ | $\alpha^{5}$ | $\alpha^{13}$ | 3 | 1 | [0, 1, 3, 1, 4, 13, 5, 71, 6, 168, 7, 293, 8, 466, 9, 659, 10, 752, 11, 659, 1, 3, 5, 14] |
84 | $\alpha^{1}$ | $\alpha^{3}$ | $\alpha^{5}$ | $\alpha^{14}$ | 3 | 7 | [0, 1, 3, 7, 4, 14, 5, 52, 6, 155, 7, 311, 8, 504, 9, 660, 10, 707, 11, 645, 1, 3, 6, 7] |
85 | $\alpha^{1}$ | $\alpha^{3}$ | $\alpha^{6}$ | $\alpha^{7}$ | 3 | 3 | [0, 1, 3, 3, 4, 15, 5, 65, 6, 154, 7, 299, 8, 503, 9, 657, 10, 700, 11, 657, 1, 3, 6, 8] |
86 | $\alpha^{1}$ | $\alpha^{3}$ | $\alpha^{6}$ | $\alpha^{8}$ | 3 | 2 | [0, 1, 3, 2, 4, 18, 5, 57, 6, 165, 7, 312, 8, 458, 9, 675, 10, 743, 11, 618, 1, 3, 6, 9] |
87 | $\alpha^{1}$ | $\alpha^{3}$ | $\alpha^{6}$ | $\alpha^{9}$ | 3 | 6 | [0, 1, 3, 6, 4, 14, 5, 55, 6, 158, 7, 310, 8, 490, 9, 655, 10, 732, 11, 650, 1, 3, 6, 10] |
88 | $\alpha^{1}$ | $\alpha^{3}$ | $\alpha^{6}$ | $\alpha^{10}$ | 3 | 3 | [0, 1, 3, 3, 4, 13, 5, 65, 6, 160, 7, 299, 8, 498, 9, 657, 10, 704, 11, 657, 1, 3, 6, 11] |
89 | $\alpha^{1}$ | $\alpha^{3}$ | $\alpha^{6}$ | $\alpha^{11}$ | 3 | 6 | [0, 1, 3, 6, 4, 14, 5, 57, 6, 156, 7, 300, 8, 500, 9, 675, 10, 712, 11, 630, 1, 3, 6, 12] |
90 | $\alpha^{1}$ | $\alpha^{3}$ | $\alpha^{6}$ | $\alpha^{12}$ | 3 | 3 | [0, 1, 3, 3, 4, 19, 5, 58, 6, 145, 7, 319, 8, 503, 9, 646, 10, 711, 11, 641, 1, 3, 6, 13] |
91 | $\alpha^{1}$ | $\alpha^{3}$ | $\alpha^{6}$ | $\alpha^{13}$ | 3 | 6 | [0, 1, 3, 6, 4, 15, 5, 58, 6, 158, 7, 302, 8, 483, 9, 658, 10, 740, 11, 658, 1, 3, 6, 14] |
92 | $\alpha^{1}$ | $\alpha^{3}$ | $\alpha^{6}$ | $\alpha^{14}$ | 3 | 6 | [0, 1, 3, 6, 4, 10, 5, 58, 6, 178, 7, 302, 8, 456, 9, 658, 10, 750, 11, 658, 1, 3, 7, 8] |
93 | $\alpha^{1}$ | $\alpha^{3}$ | $\alpha^{7}$ | $\alpha^{8}$ | 3 | 1 | [0, 1, 3, 1, 4, 18, 5, 65, 6, 150, 7, 319, 8, 486, 9, 619, 10, 748, 11, 679, 1, 3, 7, 9] |
94 | $\alpha^{1}$ | $\alpha^{3}$ | $\alpha^{7}$ | $\alpha^{9}$ | 3 | 10 | [0, 1, 3, 10, 4, 16, 5, 45, 6, 154, 7, 310, 8, 488, 9, 673, 10, 740, 11, 638, 1, 3, 7, 10] |
95 | $\alpha^{1}$ | $\alpha^{3}$ | $\alpha^{7}$ | $\alpha^{10}$ | 3 | 1 | [0, 1, 3, 1, 4, 20, 5, 62, 6, 152, 7, 311, 8, 486, 9, 648, 10, 720, 11, 671, 1, 3, 7, 11] |
96 | $\alpha^{1}$ | $\alpha^{3}$ | $\alpha^{7}$ | $\alpha^{11}$ | 3 | 1 | [0, 1, 3, 1, 4, 17, 5, 62, 6, 161, 7, 309, 8, 485, 9, 658, 10, 695, 11, 651, 1, 3, 7, 12] |
97 | $\alpha^{1}$ | $\alpha^{3}$ | $\alpha^{7}$ | $\alpha^{12}$ | 3 | 2 | [0, 1, 3, 2, 4, 16, 5, 63, 6, 155, 7, 314, 8, 490, 9, 639, 10, 723, 11, 654, 1, 3, 7, 13] |
98 | $\alpha^{1}$ | $\alpha^{3}$ | $\alpha^{7}$ | $\alpha^{13}$ | 3 | 1 | [0, 1, 3, 1, 4, 19, 5, 63, 6, 149, 7, 323, 8, 483, 9, 621, 10, 751, 11, 671, 1, 3, 7, 14] |
99 | $\alpha^{1}$ | $\alpha^{3}$ | $\alpha^{7}$ | $\alpha^{14}$ | 3 | 9 | [0, 1, 3, 9, 4, 12, 5, 46, 6, 166, 7, 313, 8, 480, 9, 670, 10, 732, 11, 635, 1, 3, 8, 9] |
100 | $\alpha^{1}$ | $\alpha^{3}$ | $\alpha^{8}$ | $\alpha^{9}$ | 3 | 4 | [0, 1, 3, 4, 4, 16, 5, 64, 6, 154, 7, 296, 8, 494, 9, 660, 10, 718, 11, 660, 1, 3, 8, 10] |
101 | $\alpha^{1}$ | $\alpha^{3}$ | $\alpha^{8}$ | $\alpha^{10}$ | 3 | 4 | [0, 1, 3, 4, 4, 10, 5, 63, 6, 172, 7, 298, 8, 480, 9, 665, 10, 712, 11, 640, 1, 3, 8, 11] |
102 | $\alpha^{1}$ | $\alpha^{3}$ | $\alpha^{8}$ | $\alpha^{11}$ | 3 | 1 | [0, 1, 3, 1, 4, 13, 5, 71, 6, 168, 7, 293, 8, 466, 9, 659, 10, 752, 11, 659, 1, 3, 8, 12] |
103 | $\alpha^{1}$ | $\alpha^{3}$ | $\alpha^{8}$ | $\alpha^{12}$ | 3 | 1 | [0, 1, 3, 1, 4, 19, 5, 64, 6, 148, 7, 317, 8, 489, 9, 636, 10, 736, 11, 651, 1, 3, 8, 13] |
104 | $\alpha^{1}$ | $\alpha^{3}$ | $\alpha^{8}$ | $\alpha^{13}$ | 3 | 4 | [0, 1, 3, 4, 4, 11, 5, 62, 6, 167, 7, 304, 8, 489, 9, 650, 10, 707, 11, 660, 1, 3, 8, 14] |
105 | $\alpha^{1}$ | $\alpha^{3}$ | $\alpha^{8}$ | $\alpha^{14}$ | 3 | 4 | [0, 1, 3, 4, 4, 11, 5, 62, 6, 170, 7, 304, 8, 475, 9, 650, 10, 732, 11, 660, 1, 3, 9, 10] |
106 | $\alpha^{1}$ | $\alpha^{3}$ | $\alpha^{9}$ | $\alpha^{10}$ | 3 | 6 | [0, 1, 3, 6, 4, 11, 5, 55, 6, 168, 7, 310, 8, 485, 9, 655, 10, 712, 11, 650, 1, 3, 9, 11] |
107 | $\alpha^{1}$ | $\alpha^{3}$ | $\alpha^{9}$ | $\alpha^{11}$ | 3 | 4 | [0, 1, 3, 4, 4, 12, 5, 62, 6, 162, 7, 304, 8, 498, 9, 650, 10, 702, 11, 660, 1, 3, 9, 12] |
108 | $\alpha^{1}$ | $\alpha^{3}$ | $\alpha^{9}$ | $\alpha^{12}$ | 3 | 6 | [0, 1, 3, 6, 4, 17, 5, 57, 6, 151, 7, 300, 8, 495, 9, 675, 10, 723, 11, 630, 1, 3, 9, 13] |
109 | $\alpha^{1}$ | $\alpha^{3}$ | $\alpha^{9}$ | $\alpha^{13}$ | 3 | 5 | [0, 1, 3, 5, 4, 15, 5, 57, 6, 155, 7, 309, 8, 497, 9, 657, 10, 715, 11, 647, 1, 3, 9, 14] |
110 | $\alpha^{1}$ | $\alpha^{3}$ | $\alpha^{9}$ | $\alpha^{14}$ | 3 | 8 | [0, 1, 3, 8, 4, 13, 5, 52, 6, 162, 7, 300, 8, 485, 9, 680, 10, 732, 11, 640, 1, 3, 10, 11] |
111 | $\alpha^{1}$ | $\alpha^{3}$ | $\alpha^{10}$ | $\alpha^{11}$ | 3 | 2 | [0, 1, 3, 2, 4, 18, 5, 61, 6, 161, 7, 300, 8, 470, 9, 683, 10, 735, 11, 626, 1, 3, 10, 12] |
112 | $\alpha^{1}$ | $\alpha^{3}$ | $\alpha^{10}$ | $\alpha^{12}$ | 3 | 5 | [0, 1, 3, 5, 4, 14, 5, 63, 6, 157, 7, 293, 8, 502, 9, 663, 10, 695, 11, 663, 1, 3, 10, 13] |
113 | $\alpha^{1}$ | $\alpha^{3}$ | $\alpha^{10}$ | $\alpha^{13}$ | 4 | 23 | [0, 1, 4, 23, 5, 56, 6, 154, 7, 320, 8, 479, 9, 664, 10, 700, 11, 640, 12, 537, 1, 3, 10, 14] |
114 | $\alpha^{1}$ | $\alpha^{3}$ | $\alpha^{10}$ | $\alpha^{14}$ | 3 | 5 | [0, 1, 3, 5, 4, 13, 5, 60, 6, 160, 7, 301, 8, 495, 9, 660, 10, 712, 11, 655, 1, 3, 11, 12] |
115 | $\alpha^{1}$ | $\alpha^{3}$ | $\alpha^{11}$ | $\alpha^{12}$ | 3 | 5 | [0, 1, 3, 5, 4, 11, 5, 61, 6, 173, 7, 303, 8, 467, 9, 643, 10, 735, 11, 683, 1, 3, 11, 13] |
116 | $\alpha^{1}$ | $\alpha^{3}$ | $\alpha^{11}$ | $\alpha^{13}$ | 4 | 20 | [0, 1, 4, 20, 5, 64, 6, 150, 7, 326, 8, 472, 9, 618, 10, 764, 11, 668, 12, 472, 1, 3, 11, 14] |
117 | $\alpha^{1}$ | $\alpha^{3}$ | $\alpha^{11}$ | $\alpha^{14}$ | 3 | 5 | [0, 1, 3, 5, 4, 14, 5, 58, 6, 160, 7, 303, 8, 488, 9, 672, 10, 720, 11, 627, 1, 3, 12, 13] |
118 | $\alpha^{1}$ | $\alpha^{3}$ | $\alpha^{12}$ | $\alpha^{13}$ | 3 | 7 | [0, 1, 3, 7, 4, 14, 5, 55, 6, 157, 7, 303, 8, 502, 9, 663, 10, 695, 11, 653, 1, 3, 12, 14] |
119 | $\alpha^{1}$ | $\alpha^{3}$ | $\alpha^{12}$ | $\alpha^{14}$ | 3 | 5 | [0, 1, 3, 5, 4, 14, 5, 58, 6, 158, 7, 309, 8, 490, 9, 650, 10, 732, 11, 655, 1, 3, 13, 14] |
120 | $\alpha^{1}$ | $\alpha^{3}$ | $\alpha^{13}$ | $\alpha^{14}$ | 3 | 4 | [0, 1, 3, 4, 4, 13, 5, 67, 6, 165, 7, 288, 8, 477, 9, 663, 10, 735, 11, 668, 1, 4, 5, 6] |
121 | $\alpha^{1}$ | $\alpha^{4}$ | $\alpha^{5}$ | $\alpha^{6}$ | 3 | 7 | [0, 1, 3, 7, 4, 15, 5, 52, 6, 152, 7, 311, 8, 505, 9, 660, 10, 712, 11, 645, 1, 4, 5, 7] |
122 | $\alpha^{1}$ | $\alpha^{4}$ | $\alpha^{5}$ | $\alpha^{7}$ | 3 | 5 | [0, 1, 3, 5, 4, 11, 5, 61, 6, 173, 7, 303, 8, 467, 9, 643, 10, 735, 11, 683, 1, 4, 5, 8] |
123 | $\alpha^{1}$ | $\alpha^{4}$ | $\alpha^{5}$ | $\alpha^{8}$ | 3 | 9 | [0, 1, 3, 9, 4, 16, 5, 50, 6, 154, 7, 301, 8, 488, 9, 678, 10, 740, 11, 643, 1, 4, 5, 9] |
124 | $\alpha^{1}$ | $\alpha^{4}$ | $\alpha^{5}$ | $\alpha^{9}$ | 3 | 4 | [0, 1, 3, 4, 4, 14, 5, 59, 6, 157, 7, 312, 8, 500, 9, 647, 10, 705, 11, 652, 1, 4, 5, 10] |
125 | $\alpha^{1}$ | $\alpha^{4}$ | $\alpha^{5}$ | $\alpha^{10}$ | 3 | 10 | [0, 1, 3, 10, 4, 16, 5, 43, 6, 150, 7, 314, 8, 500, 9, 675, 10, 732, 11, 630, 1, 4, 5, 11] |
126 | $\alpha^{1}$ | $\alpha^{4}$ | $\alpha^{5}$ | $\alpha^{11}$ | 3 | 4 | [0, 1, 3, 4, 4, 14, 5, 59, 6, 158, 7, 312, 8, 498, 9, 647, 10, 700, 11, 652, 1, 4, 5, 12] |
127 | $\alpha^{1}$ | $\alpha^{4}$ | $\alpha^{5}$ | $\alpha^{12}$ | 3 | 5 | [0, 1, 3, 5, 4, 14, 5, 59, 6, 156, 7, 305, 8, 500, 9, 655, 10, 712, 11, 655, 1, 4, 5, 13] |
128 | $\alpha^{1}$ | $\alpha^{4}$ | $\alpha^{5}$ | $\alpha^{13}$ | 3 | 5 | [0, 1, 3, 5, 4, 12, 5, 58, 6, 162, 7, 309, 8, 500, 9, 650, 10, 692, 11, 655, 1, 4, 5, 14] |
129 | $\alpha^{1}$ | $\alpha^{4}$ | $\alpha^{5}$ | $\alpha^{14}$ | 3 | 6 | [0, 1, 3, 6, 4, 13, 5, 59, 6, 165, 7, 298, 8, 477, 9, 663, 10, 735, 11, 658, 1, 4, 6, 7] |
130 | $\alpha^{1}$ | $\alpha^{4}$ | $\alpha^{6}$ | $\alpha^{7}$ | 3 | 7 | [0, 1, 3, 7, 4, 13, 5, 53, 6, 160, 7, 305, 8, 495, 9, 675, 10, 712, 11, 625, 1, 4, 6, 8] |
131 | $\alpha^{1}$ | $\alpha^{4}$ | $\alpha^{6}$ | $\alpha^{8}$ | 3 | 8 | [0, 1, 3, 8, 4, 15, 5, 55, 6, 161, 7, 296, 8, 475, 9, 671, 10, 743, 11, 656, 1, 4, 6, 9] |
132 | $\alpha^{1}$ | $\alpha^{4}$ | $\alpha^{6}$ | $\alpha^{9}$ | 3 | 7 | [0, 1, 3, 7, 4, 14, 5, 51, 6, 156, 7, 315, 8, 500, 9, 655, 10, 712, 11, 645, 1, 4, 6, 10] |
133 | $\alpha^{1}$ | $\alpha^{4}$ | $\alpha^{6}$ | $\alpha^{10}$ | 3 | 7 | [0, 1, 3, 7, 4, 15, 5, 55, 6, 158, 7, 309, 8, 489, 9, 641, 10, 718, 11, 681, 1, 4, 6, 11] |
134 | $\alpha^{1}$ | $\alpha^{4}$ | $\alpha^{6}$ | $\alpha^{11}$ | 3 | 11 | [0, 1, 3, 11, 4, 20, 5, 44, 6, 142, 7, 307, 8, 496, 9, 676, 10, 748, 11, 641, 1, 4, 6, 12] |
135 | $\alpha^{1}$ | $\alpha^{4}$ | $\alpha^{6}$ | $\alpha^{12}$ | 3 | 12 | [0, 1, 3, 12, 4, 20, 5, 41, 6, 142, 7, 308, 8, 496, 9, 681, 10, 748, 11, 636, 1, 4, 6, 13] |
136 | $\alpha^{1}$ | $\alpha^{4}$ | $\alpha^{6}$ | $\alpha^{13}$ | 3 | 11 | [0, 1, 3, 11, 4, 20, 5, 48, 6, 146, 7, 295, 8, 484, 9, 684, 10, 756, 11, 649, 1, 4, 6, 14] |
137 | $\alpha^{1}$ | $\alpha^{4}$ | $\alpha^{6}$ | $\alpha^{14}$ | 3 | 7 | [0, 1, 3, 7, 4, 14, 5, 56, 6, 162, 7, 299, 8, 478, 9, 668, 10, 740, 11, 653, 1, 4, 7, 8] |
138 | $\alpha^{1}$ | $\alpha^{4}$ | $\alpha^{7}$ | $\alpha^{8}$ | 3 | 5 | [0, 1, 3, 5, 4, 13, 5, 63, 6, 166, 7, 293, 8, 473, 9, 663, 10, 740, 11, 663, 1, 4, 7, 9] |
139 | $\alpha^{1}$ | $\alpha^{4}$ | $\alpha^{7}$ | $\alpha^{9}$ | 3 | 8 | [0, 1, 3, 8, 4, 13, 5, 46, 6, 162, 7, 324, 8, 485, 9, 650, 10, 732, 11, 640, 1, 4, 7, 10] |
140 | $\alpha^{1}$ | $\alpha^{4}$ | $\alpha^{7}$ | $\alpha^{10}$ | 3 | 4 | [0, 1, 3, 4, 4, 17, 5, 63, 6, 152, 7, 300, 8, 491, 9, 655, 10, 728, 11, 660, 1, 4, 7, 11] |
141 | $\alpha^{1}$ | $\alpha^{4}$ | $\alpha^{7}$ | $\alpha^{11}$ | 3 | 5 | [0, 1, 3, 5, 4, 12, 5, 58, 6, 166, 7, 309, 8, 480, 9, 650, 10, 732, 11, 655, 1, 4, 7, 12] |
142 | $\alpha^{1}$ | $\alpha^{4}$ | $\alpha^{7}$ | $\alpha^{12}$ | 3 | 5 | [0, 1, 3, 5, 4, 15, 5, 58, 6, 151, 7, 311, 8, 509, 9, 640, 10, 707, 11, 675, 1, 4, 7, 13] |
143 | $\alpha^{1}$ | $\alpha^{4}$ | $\alpha^{7}$ | $\alpha^{13}$ | 3 | 4 | [0, 1, 3, 4, 4, 14, 5, 62, 6, 156, 7, 304, 8, 500, 9, 650, 10, 712, 11, 660, 1, 4, 7, 14] |
144 | $\alpha^{1}$ | $\alpha^{4}$ | $\alpha^{7}$ | $\alpha^{14}$ | 3 | 8 | [0, 1, 3, 8, 4, 12, 5, 53, 6, 172, 7, 304, 8, 464, 9, 661, 10, 738, 11, 656, 1, 4, 8, 9] |
145 | $\alpha^{1}$ | $\alpha^{4}$ | $\alpha^{8}$ | $\alpha^{9}$ | 3 | 5 | [0, 1, 3, 5, 4, 14, 5, 60, 6, 155, 7, 301, 8, 504, 9, 660, 10, 707, 11, 655, 1, 4, 8, 10] |
146 | $\alpha^{1}$ | $\alpha^{4}$ | $\alpha^{8}$ | $\alpha^{10}$ | 3 | 10 | [0, 1, 3, 10, 4, 18, 5, 49, 6, 152, 7, 302, 8, 482, 9, 669, 10, 746, 11, 654, 1, 4, 8, 11] |
147 | $\alpha^{1}$ | $\alpha^{4}$ | $\alpha^{8}$ | $\alpha^{11}$ | 3 | 6 | [0, 1, 3, 6, 4, 16, 5, 60, 6, 154, 7, 300, 8, 496, 9, 646, 10, 708, 11, 686, 1, 4, 8, 12] |
148 | $\alpha^{1}$ | $\alpha^{4}$ | $\alpha^{8}$ | $\alpha^{12}$ | 3 | 6 | [0, 1, 3, 6, 4, 16, 5, 52, 6, 151, 7, 316, 8, 502, 9, 662, 10, 715, 11, 622, 1, 4, 8, 13] |
149 | $\alpha^{1}$ | $\alpha^{4}$ | $\alpha^{8}$ | $\alpha^{13}$ | 3 | 5 | [0, 1, 3, 5, 4, 13, 5, 60, 6, 160, 7, 301, 8, 495, 9, 660, 10, 712, 11, 655, 1, 4, 8, 14] |
150 | $\alpha^{1}$ | $\alpha^{4}$ | $\alpha^{8}$ | $\alpha^{14}$ | 3 | 5 | [0, 1, 3, 5, 4, 16, 5, 62, 6, 154, 7, 297, 8, 488, 9, 658, 10, 740, 11, 663, 1, 4, 9, 10] |
151 | $\alpha^{1}$ | $\alpha^{4}$ | $\alpha^{9}$ | $\alpha^{10}$ | 3 | 6 | [0, 1, 3, 6, 4, 11, 5, 58, 6, 168, 7, 296, 8, 485, 9, 680, 10, 712, 11, 630, 1, 4, 9, 11] |
152 | $\alpha^{1}$ | $\alpha^{4}$ | $\alpha^{9}$ | $\alpha^{11}$ | 3 | 4 | [0, 1, 3, 4, 4, 10, 5, 61, 6, 170, 7, 310, 8, 488, 9, 635, 10, 702, 11, 680, 1, 4, 9, 12] |
153 | $\alpha^{1}$ | $\alpha^{4}$ | $\alpha^{9}$ | $\alpha^{12}$ | 3 | 6 | [0, 1, 3, 6, 4, 14, 5, 55, 6, 154, 7, 310, 8, 510, 9, 655, 10, 692, 11, 650, 1, 4, 9, 13] |
154 | $\alpha^{1}$ | $\alpha^{4}$ | $\alpha^{9}$ | $\alpha^{13}$ | 3 | 5 | [0, 1, 3, 5, 4, 14, 5, 54, 6, 157, 7, 321, 8, 500, 9, 642, 10, 705, 11, 647, 1, 4, 9, 14] |
155 | $\alpha^{1}$ | $\alpha^{4}$ | $\alpha^{9}$ | $\alpha^{14}$ | 3 | 8 | [0, 1, 3, 8, 4, 11, 5, 50, 6, 170, 7, 308, 8, 475, 9, 670, 10, 732, 11, 640, 1, 4, 10, 11] |
156 | $\alpha^{1}$ | $\alpha^{4}$ | $\alpha^{10}$ | $\alpha^{11}$ | 3 | 6 | [0, 1, 3, 6, 4, 14, 5, 60, 6, 164, 7, 298, 8, 476, 9, 656, 10, 728, 11, 666, 1, 4, 10, 12] |
157 | $\alpha^{1}$ | $\alpha^{4}$ | $\alpha^{10}$ | $\alpha^{12}$ | 3 | 5 | [0, 1, 3, 5, 4, 15, 5, 58, 6, 152, 7, 309, 8, 505, 9, 650, 10, 712, 11, 655, 1, 4, 10, 13] |
158 | $\alpha^{1}$ | $\alpha^{4}$ | $\alpha^{10}$ | $\alpha^{13}$ | 3 | 4 | [0, 1, 3, 4, 4, 18, 5, 59, 6, 144, 7, 314, 8, 508, 9, 637, 10, 720, 11, 672, 1, 4, 10, 14] |
159 | $\alpha^{1}$ | $\alpha^{4}$ | $\alpha^{10}$ | $\alpha^{14}$ | 3 | 5 | [0, 1, 3, 5, 4, 15, 5, 61, 6, 159, 7, 301, 8, 477, 9, 653, 10, 755, 11, 663, 1, 4, 11, 12] |
160 | $\alpha^{1}$ | $\alpha^{4}$ | $\alpha^{11}$ | $\alpha^{12}$ | 3 | 9 | [0, 1, 3, 9, 4, 16, 5, 50, 6, 154, 7, 301, 8, 488, 9, 678, 10, 740, 11, 643, 1, 4, 11, 13] |
161 | $\alpha^{1}$ | $\alpha^{4}$ | $\alpha^{11}$ | $\alpha^{13}$ | 3 | 8 | [0, 1, 3, 8, 4, 15, 5, 50, 6, 154, 7, 308, 8, 495, 9, 670, 10, 732, 11, 640, 1, 4, 11, 14] |
162 | $\alpha^{1}$ | $\alpha^{4}$ | $\alpha^{11}$ | $\alpha^{14}$ | 3 | 4 | [0, 1, 3, 4, 4, 14, 5, 60, 6, 164, 7, 308, 8, 468, 9, 652, 10, 760, 11, 652, 1, 4, 12, 13] |
163 | $\alpha^{1}$ | $\alpha^{4}$ | $\alpha^{12}$ | $\alpha^{13}$ | 3 | 9 | [0, 1, 3, 9, 4, 15, 5, 47, 6, 154, 7, 309, 8, 495, 9, 675, 10, 732, 11, 635, 1, 4, 12, 14] |
164 | $\alpha^{1}$ | $\alpha^{4}$ | $\alpha^{12}$ | $\alpha^{14}$ | 3 | 5 | [0, 1, 3, 5, 4, 15, 5, 56, 6, 155, 7, 311, 8, 497, 9, 662, 10, 715, 11, 627, 1, 4, 13, 14] |
165 | $\alpha^{1}$ | $\alpha^{4}$ | $\alpha^{13}$ | $\alpha^{14}$ | 3 | 6 | [0, 1, 3, 6, 4, 14, 5, 61, 6, 157, 7, 288, 8, 502, 9, 683, 10, 695, 11, 638, 1, 5, 6, 7] |
166 | $\alpha^{1}$ | $\alpha^{5}$ | $\alpha^{6}$ | $\alpha^{7}$ | 3 | 3 | [0, 1, 3, 3, 4, 15, 5, 68, 6, 149, 7, 291, 8, 519, 9, 660, 10, 687, 11, 665, 1, 5, 6, 8] |
167 | $\alpha^{1}$ | $\alpha^{5}$ | $\alpha^{6}$ | $\alpha^{8}$ | 3 | 2 | [0, 1, 3, 2, 4, 18, 5, 61, 6, 161, 7, 300, 8, 470, 9, 683, 10, 735, 11, 626, 1, 5, 6, 9] |
168 | $\alpha^{1}$ | $\alpha^{5}$ | $\alpha^{6}$ | $\alpha^{9}$ | 3 | 6 | [0, 1, 3, 6, 4, 14, 5, 60, 6, 164, 7, 298, 8, 476, 9, 656, 10, 728, 11, 666, 1, 5, 6, 10] |
169 | $\alpha^{1}$ | $\alpha^{5}$ | $\alpha^{6}$ | $\alpha^{10}$ | 3 | 6 | [0, 1, 3, 6, 4, 14, 5, 56, 6, 153, 7, 306, 8, 514, 9, 660, 10, 687, 11, 650, 1, 5, 6, 11] |
170 | $\alpha^{1}$ | $\alpha^{5}$ | $\alpha^{6}$ | $\alpha^{11}$ | 3 | 8 | [0, 1, 3, 8, 4, 18, 5, 55, 6, 146, 7, 296, 8, 506, 9, 671, 10, 708, 11, 656, 1, 5, 6, 12] |
171 | $\alpha^{1}$ | $\alpha^{5}$ | $\alpha^{6}$ | $\alpha^{12}$ | 3 | 2 | [0, 1, 3, 2, 4, 19, 5, 60, 6, 154, 7, 306, 8, 491, 9, 668, 10, 700, 11, 646, 1, 5, 6, 13] |
172 | $\alpha^{1}$ | $\alpha^{5}$ | $\alpha^{6}$ | $\alpha^{13}$ | 3 | 7 | [0, 1, 3, 7, 4, 14, 5, 58, 6, 164, 7, 295, 8, 474, 9, 666, 10, 738, 11, 661, 1, 5, 6, 14] |
173 | $\alpha^{1}$ | $\alpha^{5}$ | $\alpha^{6}$ | $\alpha^{14}$ | 3 | 4 | [0, 1, 3, 4, 4, 11, 5, 64, 6, 164, 7, 296, 8, 500, 9, 660, 10, 696, 11, 660, 1, 5, 7, 8] |
174 | $\alpha^{1}$ | $\alpha^{5}$ | $\alpha^{7}$ | $\alpha^{8}$ | 3 | 1 | [0, 1, 3, 1, 4, 18, 5, 66, 6, 148, 7, 315, 8, 496, 9, 624, 10, 728, 11, 679, 1, 5, 7, 9] |
175 | $\alpha^{1}$ | $\alpha^{5}$ | $\alpha^{7}$ | $\alpha^{9}$ | 3 | 5 | [0, 1, 3, 5, 4, 14, 5, 56, 6, 160, 7, 313, 8, 486, 9, 652, 10, 730, 11, 647, 1, 5, 7, 10] |
176 | $\alpha^{1}$ | $\alpha^{5}$ | $\alpha^{7}$ | $\alpha^{10}$ | 3 | 5 | [0, 1, 3, 5, 4, 15, 5, 58, 6, 158, 7, 303, 8, 483, 9, 672, 10, 740, 11, 627, 1, 5, 7, 11] |
177 | $\alpha^{1}$ | $\alpha^{5}$ | $\alpha^{7}$ | $\alpha^{11}$ | 3 | 1 | [0, 1, 3, 1, 4, 17, 5, 67, 6, 152, 7, 305, 8, 494, 9, 651, 10, 720, 11, 651, 1, 5, 7, 12] |
178 | $\alpha^{1}$ | $\alpha^{5}$ | $\alpha^{7}$ | $\alpha^{12}$ | 3 | 1 | [0, 1, 3, 1, 4, 17, 5, 66, 6, 153, 7, 309, 8, 493, 9, 646, 10, 711, 11, 651, 1, 5, 7, 13] |
179 | $\alpha^{1}$ | $\alpha^{5}$ | $\alpha^{7}$ | $\alpha^{13}$ | 3 | 6 | [0, 1, 3, 6, 4, 13, 5, 56, 6, 159, 7, 306, 8, 499, 9, 660, 10, 707, 11, 650, 1, 5, 7, 14] |
180 | $\alpha^{1}$ | $\alpha^{5}$ | $\alpha^{7}$ | $\alpha^{14}$ | 3 | 7 | [0, 1, 3, 7, 4, 14, 5, 55, 6, 162, 7, 305, 8, 478, 9, 653, 10, 740, 11, 673, 1, 5, 8, 9] |
181 | $\alpha^{1}$ | $\alpha^{5}$ | $\alpha^{8}$ | $\alpha^{9}$ | 4 | 19 | [0, 1, 4, 19, 5, 71, 6, 141, 7, 304, 8, 515, 9, 639, 10, 703, 11, 664, 12, 501, 1, 5, 8, 10] |
182 | $\alpha^{1}$ | $\alpha^{5}$ | $\alpha^{8}$ | $\alpha^{10}$ | 3 | 8 | [0, 1, 3, 8, 4, 13, 5, 50, 6, 162, 7, 308, 8, 485, 9, 670, 10, 732, 11, 640, 1, 5, 8, 11] |
183 | $\alpha^{1}$ | $\alpha^{5}$ | $\alpha^{8}$ | $\alpha^{11}$ | 3 | 1 | [0, 1, 3, 1, 4, 21, 5, 65, 6, 138, 7, 313, 8, 509, 9, 641, 10, 716, 11, 651, 1, 5, 8, 12] |
184 | $\alpha^{1}$ | $\alpha^{5}$ | $\alpha^{8}$ | $\alpha^{12}$ | 3 | 1 | [0, 1, 3, 1, 4, 17, 5, 67, 6, 155, 7, 305, 8, 483, 9, 651, 10, 731, 11, 651, 1, 5, 8, 13] |
185 | $\alpha^{1}$ | $\alpha^{5}$ | $\alpha^{8}$ | $\alpha^{13}$ | 3 | 1 | [0, 1, 3, 1, 4, 14, 5, 69, 6, 160, 7, 305, 8, 488, 9, 637, 10, 720, 11, 667, 1, 5, 8, 14] |
186 | $\alpha^{1}$ | $\alpha^{5}$ | $\alpha^{8}$ | $\alpha^{14}$ | 3 | 2 | [0, 1, 3, 2, 4, 17, 5, 67, 6, 154, 7, 296, 8, 481, 9, 669, 10, 748, 11, 634, 1, 5, 9, 10] |
187 | $\alpha^{1}$ | $\alpha^{5}$ | $\alpha^{9}$ | $\alpha^{10}$ | 3 | 6 | [0, 1, 3, 6, 4, 14, 5, 56, 6, 154, 7, 304, 8, 510, 9, 670, 10, 692, 11, 630, 1, 5, 9, 11] |
188 | $\alpha^{1}$ | $\alpha^{5}$ | $\alpha^{9}$ | $\alpha^{11}$ | 3 | 1 | [0, 1, 3, 1, 4, 23, 5, 56, 6, 146, 7, 331, 8, 479, 9, 630, 10, 748, 11, 663, 1, 5, 9, 12] |
189 | $\alpha^{1}$ | $\alpha^{5}$ | $\alpha^{9}$ | $\alpha^{12}$ | 3 | 1 | [0, 1, 3, 1, 4, 17, 5, 67, 6, 152, 7, 305, 8, 494, 9, 651, 10, 720, 11, 651, 1, 5, 9, 13] |
190 | $\alpha^{1}$ | $\alpha^{5}$ | $\alpha^{9}$ | $\alpha^{13}$ | 3 | 2 | [0, 1, 3, 2, 4, 21, 5, 49, 6, 164, 7, 326, 8, 459, 9, 669, 10, 720, 11, 630, 1, 5, 9, 14] |
191 | $\alpha^{1}$ | $\alpha^{5}$ | $\alpha^{9}$ | $\alpha^{14}$ | 3 | 2 | [0, 1, 3, 2, 4, 17, 5, 66, 6, 150, 7, 302, 8, 501, 9, 654, 10, 708, 11, 654, 1, 5, 10, 11] |
192 | $\alpha^{1}$ | $\alpha^{5}$ | $\alpha^{10}$ | $\alpha^{11}$ | 3 | 6 | [0, 1, 3, 6, 4, 14, 5, 56, 6, 153, 7, 306, 8, 514, 9, 660, 10, 687, 11, 650, 1, 5, 10, 12] |
193 | $\alpha^{1}$ | $\alpha^{5}$ | $\alpha^{10}$ | $\alpha^{12}$ | 3 | 4 | [0, 1, 3, 4, 4, 12, 5, 63, 6, 166, 7, 300, 8, 480, 9, 655, 10, 732, 11, 660, 1, 5, 10, 13] |
194 | $\alpha^{1}$ | $\alpha^{5}$ | $\alpha^{10}$ | $\alpha^{13}$ | 3 | 5 | [0, 1, 3, 5, 4, 12, 5, 60, 6, 161, 7, 299, 8, 504, 9, 670, 10, 687, 11, 635, 1, 5, 10, 14] |
195 | $\alpha^{1}$ | $\alpha^{5}$ | $\alpha^{10}$ | $\alpha^{14}$ | 3 | 7 | [0, 1, 3, 7, 4, 15, 5, 54, 6, 151, 7, 301, 8, 509, 9, 680, 10, 707, 11, 625, 1, 5, 11, 12] |
196 | $\alpha^{1}$ | $\alpha^{5}$ | $\alpha^{11}$ | $\alpha^{12}$ | 3 | 4 | [0, 1, 3, 4, 4, 14, 5, 59, 6, 157, 7, 312, 8, 500, 9, 647, 10, 705, 11, 652, 1, 5, 11, 13] |
197 | $\alpha^{1}$ | $\alpha^{5}$ | $\alpha^{11}$ | $\alpha^{13}$ | 3 | 1 | [0, 1, 3, 1, 4, 19, 5, 63, 6, 160, 7, 299, 8, 469, 9, 685, 10, 728, 11, 623, 1, 5, 11, 14] |
198 | $\alpha^{1}$ | $\alpha^{5}$ | $\alpha^{11}$ | $\alpha^{14}$ | 3 | 2 | [0, 1, 3, 2, 4, 22, 5, 53, 6, 147, 7, 330, 8, 488, 9, 645, 10, 723, 11, 638, 1, 5, 12, 13] |
199 | $\alpha^{1}$ | $\alpha^{5}$ | $\alpha^{12}$ | $\alpha^{13}$ | 3 | 5 | [0, 1, 3, 5, 4, 10, 5, 58, 6, 174, 7, 309, 8, 470, 9, 650, 10, 732, 11, 655, 1, 5, 12, 14] |
200 | $\alpha^{1}$ | $\alpha^{5}$ | $\alpha^{12}$ | $\alpha^{14}$ | 3 | 6 | [0, 1, 3, 6, 4, 12, 5, 58, 6, 164, 7, 298, 8, 490, 9, 670, 10, 712, 11, 650, 1, 5, 13, 14] |
201 | $\alpha^{1}$ | $\alpha^{5}$ | $\alpha^{13}$ | $\alpha^{14}$ | 3 | 3 | [0, 1, 3, 3, 4, 16, 5, 60, 6, 155, 7, 315, 8, 490, 9, 644, 10, 723, 11, 649, 1, 6, 7, 8] |
202 | $\alpha^{1}$ | $\alpha^{6}$ | $\alpha^{7}$ | $\alpha^{8}$ | 3 | 2 | [0, 1, 3, 2, 4, 17, 5, 70, 6, 148, 7, 288, 8, 503, 9, 672, 10, 720, 11, 642, 1, 6, 7, 9] |
203 | $\alpha^{1}$ | $\alpha^{6}$ | $\alpha^{7}$ | $\alpha^{9}$ | 3 | 6 | [0, 1, 3, 6, 4, 11, 5, 55, 6, 168, 7, 310, 8, 485, 9, 655, 10, 712, 11, 650, 1, 6, 7, 10] |
204 | $\alpha^{1}$ | $\alpha^{6}$ | $\alpha^{7}$ | $\alpha^{10}$ | 3 | 6 | [0, 1, 3, 6, 4, 11, 5, 58, 6, 168, 7, 296, 8, 485, 9, 680, 10, 712, 11, 630, 1, 6, 7, 11] |
205 | $\alpha^{1}$ | $\alpha^{6}$ | $\alpha^{7}$ | $\alpha^{11}$ | 3 | 6 | [0, 1, 3, 6, 4, 14, 5, 56, 6, 154, 7, 304, 8, 510, 9, 670, 10, 692, 11, 630, 1, 6, 7, 12] |
206 | $\alpha^{1}$ | $\alpha^{6}$ | $\alpha^{7}$ | $\alpha^{12}$ | 3 | 4 | [0, 1, 3, 4, 4, 14, 5, 59, 6, 159, 7, 312, 8, 492, 9, 647, 10, 715, 11, 652, 1, 6, 7, 13] |
207 | $\alpha^{1}$ | $\alpha^{6}$ | $\alpha^{7}$ | $\alpha^{13}$ | 3 | 6 | [0, 1, 3, 6, 4, 13, 5, 57, 6, 160, 7, 302, 8, 495, 9, 665, 10, 712, 11, 650, 1, 6, 7, 14] |
208 | $\alpha^{1}$ | $\alpha^{6}$ | $\alpha^{7}$ | $\alpha^{14}$ | 3 | 6 | [0, 1, 3, 6, 4, 10, 5, 59, 6, 173, 7, 292, 8, 474, 9, 685, 10, 727, 11, 630, 1, 6, 8, 9] |
209 | $\alpha^{1}$ | $\alpha^{6}$ | $\alpha^{8}$ | $\alpha^{9}$ | 3 | 2 | [0, 1, 3, 2, 4, 14, 5, 66, 6, 162, 7, 302, 8, 481, 9, 654, 10, 732, 11, 654, 1, 6, 8, 10] |
210 | $\alpha^{1}$ | $\alpha^{6}$ | $\alpha^{8}$ | $\alpha^{10}$ | 3 | 6 | [0, 1, 3, 6, 4, 12, 5, 62, 6, 176, 7, 290, 8, 446, 9, 666, 10, 768, 11, 666, 1, 6, 8, 11] |
211 | $\alpha^{1}$ | $\alpha^{6}$ | $\alpha^{8}$ | $\alpha^{11}$ | 3 | 7 | [0, 1, 3, 7, 4, 16, 5, 56, 6, 159, 7, 297, 8, 476, 9, 678, 10, 741, 11, 633, 1, 6, 8, 12] |
212 | $\alpha^{1}$ | $\alpha^{6}$ | $\alpha^{8}$ | $\alpha^{12}$ | 3 | 2 | [0, 1, 3, 2, 4, 18, 5, 58, 6, 162, 7, 312, 8, 466, 9, 668, 10, 740, 11, 626, 1, 6, 8, 13] |
213 | $\alpha^{1}$ | $\alpha^{6}$ | $\alpha^{8}$ | $\alpha^{13}$ | 3 | 6 | [0, 1, 3, 6, 4, 11, 5, 55, 6, 172, 7, 310, 8, 465, 9, 655, 10, 752, 11, 650, 1, 6, 8, 14] |
214 | $\alpha^{1}$ | $\alpha^{6}$ | $\alpha^{8}$ | $\alpha^{14}$ | 3 | 6 | [0, 1, 3, 6, 4, 12, 5, 57, 6, 166, 7, 302, 8, 480, 9, 665, 10, 732, 11, 650, 1, 6, 9, 10] |
215 | $\alpha^{1}$ | $\alpha^{6}$ | $\alpha^{9}$ | $\alpha^{10}$ | 3 | 4 | [0, 1, 3, 4, 4, 14, 5, 59, 6, 159, 7, 312, 8, 492, 9, 647, 10, 715, 11, 652, 1, 6, 9, 11] |
216 | $\alpha^{1}$ | $\alpha^{6}$ | $\alpha^{9}$ | $\alpha^{11}$ | 3 | 6 | [0, 1, 3, 6, 4, 14, 5, 61, 6, 163, 7, 294, 8, 480, 9, 661, 10, 723, 11, 666, 1, 6, 9, 12] |
217 | $\alpha^{1}$ | $\alpha^{6}$ | $\alpha^{9}$ | $\alpha^{12}$ | 3 | 3 | [0, 1, 3, 3, 4, 19, 5, 57, 6, 150, 7, 311, 8, 503, 9, 661, 10, 692, 11, 649, 1, 6, 9, 13] |
218 | $\alpha^{1}$ | $\alpha^{6}$ | $\alpha^{9}$ | $\alpha^{13}$ | 3 | 8 | [0, 1, 3, 8, 4, 15, 5, 56, 6, 162, 7, 292, 8, 471, 9, 676, 10, 748, 11, 656, 1, 6, 9, 14] |
219 | $\alpha^{1}$ | $\alpha^{6}$ | $\alpha^{9}$ | $\alpha^{14}$ | 3 | 2 | [0, 1, 3, 2, 4, 14, 5, 69, 6, 161, 7, 292, 8, 482, 9, 667, 10, 735, 11, 642, 1, 6, 10, 11] |
220 | $\alpha^{1}$ | $\alpha^{6}$ | $\alpha^{10}$ | $\alpha^{11}$ | 3 | 8 | [0, 1, 3, 8, 4, 18, 5, 55, 6, 146, 7, 296, 8, 506, 9, 671, 10, 708, 11, 656, 1, 6, 10, 12] |
221 | $\alpha^{1}$ | $\alpha^{6}$ | $\alpha^{10}$ | $\alpha^{12}$ | 3 | 3 | [0, 1, 3, 3, 4, 18, 5, 57, 6, 154, 7, 325, 8, 474, 9, 631, 10, 756, 11, 661, 1, 6, 10, 13] |
222 | $\alpha^{1}$ | $\alpha^{6}$ | $\alpha^{10}$ | $\alpha^{13}$ | 3 | 6 | [0, 1, 3, 6, 4, 15, 5, 56, 6, 151, 7, 306, 8, 509, 9, 660, 10, 707, 11, 650, 1, 6, 10, 14] |
223 | $\alpha^{1}$ | $\alpha^{6}$ | $\alpha^{10}$ | $\alpha^{14}$ | 3 | 3 | [0, 1, 3, 3, 4, 17, 5, 59, 6, 155, 7, 315, 8, 483, 9, 651, 10, 731, 11, 641, 1, 6, 11, 12] |
224 | $\alpha^{1}$ | $\alpha^{6}$ | $\alpha^{11}$ | $\alpha^{12}$ | 3 | 10 | [0, 1, 3, 10, 4, 16, 5, 43, 6, 150, 7, 314, 8, 500, 9, 675, 10, 732, 11, 630, 1, 6, 11, 13] |
225 | $\alpha^{1}$ | $\alpha^{6}$ | $\alpha^{11}$ | $\alpha^{13}$ | 3 | 10 | [0, 1, 3, 10, 4, 17, 5, 51, 6, 157, 7, 294, 8, 473, 9, 679, 10, 751, 11, 654, 1, 6, 11, 14] |
226 | $\alpha^{1}$ | $\alpha^{6}$ | $\alpha^{11}$ | $\alpha^{14}$ | 3 | 6 | [0, 1, 3, 6, 4, 13, 5, 56, 6, 160, 7, 308, 8, 495, 9, 650, 10, 712, 11, 670, 1, 6, 12, 13] |
227 | $\alpha^{1}$ | $\alpha^{6}$ | $\alpha^{12}$ | $\alpha^{13}$ | 3 | 10 | [0, 1, 3, 10, 4, 15, 5, 40, 6, 154, 7, 326, 8, 495, 9, 660, 10, 732, 11, 630, 1, 6, 12, 14] |
228 | $\alpha^{1}$ | $\alpha^{6}$ | $\alpha^{12}$ | $\alpha^{14}$ | 3 | 2 | [0, 1, 3, 2, 4, 16, 5, 63, 6, 154, 7, 314, 8, 496, 9, 639, 10, 708, 11, 654, 1, 6, 13, 14] |
229 | $\alpha^{1}$ | $\alpha^{6}$ | $\alpha^{13}$ | $\alpha^{14}$ | 3 | 6 | [0, 1, 3, 6, 4, 12, 5, 61, 6, 166, 7, 288, 8, 486, 9, 683, 10, 710, 11, 638, 1, 7, 8, 9] |
230 | $\alpha^{1}$ | $\alpha^{7}$ | $\alpha^{8}$ | $\alpha^{9}$ | 3 | 4 | [0, 1, 3, 4, 4, 15, 5, 67, 6, 154, 7, 288, 8, 501, 9, 663, 10, 710, 11, 668, 1, 7, 8, 10] |
231 | $\alpha^{1}$ | $\alpha^{7}$ | $\alpha^{8}$ | $\alpha^{10}$ | 3 | 4 | [0, 1, 3, 4, 4, 16, 5, 64, 6, 154, 7, 296, 8, 494, 9, 660, 10, 718, 11, 660, 1, 7, 8, 11] |
232 | $\alpha^{1}$ | $\alpha^{7}$ | $\alpha^{8}$ | $\alpha^{11}$ | 3 | 5 | [0, 1, 3, 5, 4, 14, 5, 60, 6, 155, 7, 301, 8, 504, 9, 660, 10, 707, 11, 655, 1, 7, 8, 12] |
233 | $\alpha^{1}$ | $\alpha^{7}$ | $\alpha^{8}$ | $\alpha^{12}$ | 4 | 19 | [0, 1, 4, 19, 5, 71, 6, 141, 7, 304, 8, 515, 9, 639, 10, 703, 11, 664, 12, 501, 1, 7, 8, 13] |
234 | $\alpha^{1}$ | $\alpha^{7}$ | $\alpha^{8}$ | $\alpha^{13}$ | 3 | 2 | [0, 1, 3, 2, 4, 14, 5, 66, 6, 162, 7, 302, 8, 481, 9, 654, 10, 732, 11, 654, 1, 7, 8, 14] |
235 | $\alpha^{1}$ | $\alpha^{7}$ | $\alpha^{8}$ | $\alpha^{14}$ | 3 | 4 | [0, 1, 3, 4, 4, 15, 5, 67, 6, 154, 7, 288, 8, 501, 9, 663, 10, 710, 11, 668, 1, 7, 9, 10] |
236 | $\alpha^{1}$ | $\alpha^{7}$ | $\alpha^{9}$ | $\alpha^{10}$ | 3 | 6 | [0, 1, 3, 6, 4, 13, 5, 57, 6, 160, 7, 302, 8, 495, 9, 665, 10, 712, 11, 650, 1, 7, 9, 11] |
237 | $\alpha^{1}$ | $\alpha^{7}$ | $\alpha^{9}$ | $\alpha^{11}$ | 3 | 4 | [0, 1, 3, 4, 4, 10, 5, 61, 6, 173, 7, 310, 8, 474, 9, 635, 10, 727, 11, 680, 1, 7, 9, 12] |
238 | $\alpha^{1}$ | $\alpha^{7}$ | $\alpha^{9}$ | $\alpha^{12}$ | 3 | 5 | [0, 1, 3, 5, 4, 12, 5, 63, 6, 168, 7, 291, 8, 476, 9, 673, 10, 730, 11, 643, 1, 7, 9, 13] |
239 | $\alpha^{1}$ | $\alpha^{7}$ | $\alpha^{9}$ | $\alpha^{13}$ | 3 | 5 | [0, 1, 3, 5, 4, 12, 5, 60, 6, 163, 7, 301, 8, 494, 9, 660, 10, 707, 11, 655, 1, 7, 9, 14] |
240 | $\alpha^{1}$ | $\alpha^{7}$ | $\alpha^{9}$ | $\alpha^{14}$ | 3 | 8 | [0, 1, 3, 8, 4, 11, 5, 50, 6, 170, 7, 308, 8, 475, 9, 670, 10, 732, 11, 640, 1, 7, 10, 11] |
241 | $\alpha^{1}$ | $\alpha^{7}$ | $\alpha^{10}$ | $\alpha^{11}$ | 3 | 2 | [0, 1, 3, 2, 4, 19, 5, 60, 6, 154, 7, 306, 8, 491, 9, 668, 10, 700, 11, 646, 1, 7, 10, 12] |
242 | $\alpha^{1}$ | $\alpha^{7}$ | $\alpha^{10}$ | $\alpha^{12}$ | 4 | 19 | [0, 1, 4, 19, 5, 68, 6, 148, 7, 308, 8, 492, 9, 648, 10, 728, 11, 648, 12, 492, 1, 7, 10, 13] |
243 | $\alpha^{1}$ | $\alpha^{7}$ | $\alpha^{10}$ | $\alpha^{13}$ | 4 | 24 | [0, 1, 4, 24, 5, 60, 6, 134, 7, 336, 8, 498, 9, 620, 10, 742, 11, 640, 12, 480, 1, 7, 10, 14] |
244 | $\alpha^{1}$ | $\alpha^{7}$ | $\alpha^{10}$ | $\alpha^{14}$ | 3 | 6 | [0, 1, 3, 6, 4, 17, 5, 54, 6, 152, 7, 316, 8, 491, 9, 640, 10, 728, 11, 670, 1, 7, 11, 12] |
245 | $\alpha^{1}$ | $\alpha^{7}$ | $\alpha^{11}$ | $\alpha^{12}$ | 3 | 4 | [0, 1, 3, 4, 4, 14, 5, 59, 6, 158, 7, 312, 8, 498, 9, 647, 10, 700, 11, 652, 1, 7, 11, 13] |
246 | $\alpha^{1}$ | $\alpha^{7}$ | $\alpha^{11}$ | $\alpha^{13}$ | 3 | 1 | [0, 1, 3, 1, 4, 17, 5, 67, 6, 150, 7, 309, 8, 501, 9, 639, 10, 708, 11, 659, 1, 7, 11, 14] |
247 | $\alpha^{1}$ | $\alpha^{7}$ | $\alpha^{11}$ | $\alpha^{14}$ | 3 | 4 | [0, 1, 3, 4, 4, 12, 5, 61, 6, 163, 7, 308, 8, 494, 9, 645, 10, 707, 11, 660, 1, 7, 12, 13] |
248 | $\alpha^{1}$ | $\alpha^{7}$ | $\alpha^{12}$ | $\alpha^{13}$ | 3 | 4 | [0, 1, 3, 4, 4, 12, 5, 59, 6, 167, 7, 312, 8, 482, 9, 647, 10, 715, 11, 652, 1, 7, 12, 14] |
249 | $\alpha^{1}$ | $\alpha^{7}$ | $\alpha^{12}$ | $\alpha^{14}$ | 3 | 4 | [0, 1, 3, 4, 4, 11, 5, 62, 6, 167, 7, 304, 8, 489, 9, 650, 10, 707, 11, 660, 1, 7, 13, 14] |
250 | $\alpha^{1}$ | $\alpha^{7}$ | $\alpha^{13}$ | $\alpha^{14}$ | 3 | 4 | [0, 1, 3, 4, 4, 15, 5, 64, 6, 150, 7, 296, 8, 515, 9, 660, 10, 692, 11, 660, 1, 8, 9, 10] |
251 | $\alpha^{1}$ | $\alpha^{8}$ | $\alpha^{9}$ | $\alpha^{10}$ | 3 | 6 | [0, 1, 3, 6, 4, 10, 5, 59, 6, 173, 7, 292, 8, 474, 9, 685, 10, 727, 11, 630, 1, 8, 9, 11] |
252 | $\alpha^{1}$ | $\alpha^{8}$ | $\alpha^{9}$ | $\alpha^{11}$ | 3 | 1 | [0, 1, 3, 1, 4, 18, 5, 65, 6, 150, 7, 319, 8, 486, 9, 619, 10, 748, 11, 679, 1, 8, 9, 12] |
253 | $\alpha^{1}$ | $\alpha^{8}$ | $\alpha^{9}$ | $\alpha^{12}$ | 3 | 5 | [0, 1, 3, 5, 4, 13, 5, 63, 6, 166, 7, 293, 8, 473, 9, 663, 10, 740, 11, 663, 1, 8, 9, 13] |
254 | $\alpha^{1}$ | $\alpha^{8}$ | $\alpha^{9}$ | $\alpha^{13}$ | 3 | 1 | [0, 1, 3, 1, 4, 18, 5, 66, 6, 148, 7, 315, 8, 496, 9, 624, 10, 728, 11, 679, 1, 8, 9, 14] |
255 | $\alpha^{1}$ | $\alpha^{8}$ | $\alpha^{9}$ | $\alpha^{14}$ | 3 | 2 | [0, 1, 3, 2, 4, 17, 5, 70, 6, 148, 7, 288, 8, 503, 9, 672, 10, 720, 11, 642, 1, 8, 10, 11] |
256 | $\alpha^{1}$ | $\alpha^{8}$ | $\alpha^{10}$ | $\alpha^{11}$ | 3 | 7 | [0, 1, 3, 7, 4, 14, 5, 58, 6, 164, 7, 295, 8, 474, 9, 666, 10, 738, 11, 661, 1, 8, 10, 12] |
257 | $\alpha^{1}$ | $\alpha^{8}$ | $\alpha^{10}$ | $\alpha^{12}$ | 3 | 4 | [0, 1, 3, 4, 4, 13, 5, 62, 6, 160, 7, 306, 8, 495, 9, 640, 10, 712, 11, 680, 1, 8, 10, 13] |
258 | $\alpha^{1}$ | $\alpha^{8}$ | $\alpha^{10}$ | $\alpha^{13}$ | 3 | 4 | [0, 1, 3, 4, 4, 13, 5, 63, 6, 160, 7, 300, 8, 495, 9, 655, 10, 712, 11, 660, 1, 8, 10, 14] |
259 | $\alpha^{1}$ | $\alpha^{8}$ | $\alpha^{10}$ | $\alpha^{14}$ | 3 | 5 | [0, 1, 3, 5, 4, 14, 5, 62, 6, 159, 7, 297, 8, 492, 9, 658, 10, 715, 11, 663, 1, 8, 11, 12] |
260 | $\alpha^{1}$ | $\alpha^{8}$ | $\alpha^{11}$ | $\alpha^{12}$ | 3 | 5 | [0, 1, 3, 5, 4, 14, 5, 59, 6, 156, 7, 305, 8, 500, 9, 655, 10, 712, 11, 655, 1, 8, 11, 13] |
261 | $\alpha^{1}$ | $\alpha^{8}$ | $\alpha^{11}$ | $\alpha^{13}$ | 3 | 1 | [0, 1, 3, 1, 4, 19, 5, 61, 6, 161, 7, 307, 8, 463, 9, 675, 10, 743, 11, 623, 1, 8, 11, 14] |
262 | $\alpha^{1}$ | $\alpha^{8}$ | $\alpha^{11}$ | $\alpha^{14}$ | 3 | 1 | [0, 1, 3, 1, 4, 22, 5, 57, 6, 162, 7, 303, 8, 454, 9, 699, 10, 740, 11, 615, 1, 8, 12, 13] |
263 | $\alpha^{1}$ | $\alpha^{8}$ | $\alpha^{12}$ | $\alpha^{13}$ | 3 | 4 | [0, 1, 3, 4, 4, 11, 5, 63, 6, 166, 7, 300, 8, 493, 9, 655, 10, 702, 11, 660, 1, 8, 12, 14] |
264 | $\alpha^{1}$ | $\alpha^{8}$ | $\alpha^{12}$ | $\alpha^{14}$ | 3 | 1 | [0, 1, 3, 1, 4, 15, 5, 71, 6, 156, 7, 293, 8, 496, 9, 659, 10, 712, 11, 659, 1, 8, 13, 14] |
265 | $\alpha^{1}$ | $\alpha^{8}$ | $\alpha^{13}$ | $\alpha^{14}$ | 4 | 18 | [0, 1, 4, 18, 5, 72, 6, 145, 7, 300, 8, 510, 9, 644, 10, 703, 11, 664, 12, 506, 1, 9, 10, 11] |
266 | $\alpha^{1}$ | $\alpha^{9}$ | $\alpha^{10}$ | $\alpha^{11}$ | 3 | 4 | [0, 1, 3, 4, 4, 11, 5, 64, 6, 164, 7, 296, 8, 500, 9, 660, 10, 696, 11, 660, 1, 9, 10, 12] |
267 | $\alpha^{1}$ | $\alpha^{9}$ | $\alpha^{10}$ | $\alpha^{12}$ | 3 | 3 | [0, 1, 3, 3, 4, 15, 5, 65, 6, 154, 7, 299, 8, 503, 9, 657, 10, 700, 11, 657, 1, 9, 10, 13] |
268 | $\alpha^{1}$ | $\alpha^{9}$ | $\alpha^{10}$ | $\alpha^{13}$ | 3 | 7 | [0, 1, 3, 7, 4, 13, 5, 53, 6, 160, 7, 305, 8, 495, 9, 675, 10, 712, 11, 625, 1, 9, 10, 14] |
269 | $\alpha^{1}$ | $\alpha^{9}$ | $\alpha^{10}$ | $\alpha^{14}$ | 3 | 3 | [0, 1, 3, 3, 4, 15, 5, 68, 6, 149, 7, 291, 8, 519, 9, 660, 10, 687, 11, 665, 1, 9, 11, 12] |
270 | $\alpha^{1}$ | $\alpha^{9}$ | $\alpha^{11}$ | $\alpha^{12}$ | 3 | 5 | [0, 1, 3, 5, 4, 12, 5, 58, 6, 162, 7, 309, 8, 500, 9, 650, 10, 692, 11, 655, 1, 9, 11, 13] |
271 | $\alpha^{1}$ | $\alpha^{9}$ | $\alpha^{11}$ | $\alpha^{13}$ | 3 | 1 | [0, 1, 3, 1, 4, 20, 5, 58, 6, 156, 7, 323, 8, 474, 9, 640, 10, 728, 11, 663, 1, 9, 11, 14] |
272 | $\alpha^{1}$ | $\alpha^{9}$ | $\alpha^{11}$ | $\alpha^{14}$ | 4 | 17 | [0, 1, 4, 17, 5, 70, 6, 151, 7, 308, 8, 495, 9, 634, 10, 723, 11, 664, 12, 491, 1, 9, 12, 13] |
273 | $\alpha^{1}$ | $\alpha^{9}$ | $\alpha^{12}$ | $\alpha^{13}$ | 3 | 6 | [0, 1, 3, 6, 4, 14, 5, 53, 6, 156, 7, 320, 8, 500, 9, 635, 10, 712, 11, 670, 1, 9, 12, 14] |
274 | $\alpha^{1}$ | $\alpha^{9}$ | $\alpha^{12}$ | $\alpha^{14}$ | 3 | 1 | [0, 1, 3, 1, 4, 17, 5, 71, 6, 153, 7, 291, 8, 485, 9, 669, 10, 743, 11, 639, 1, 9, 13, 14] |
275 | $\alpha^{1}$ | $\alpha^{9}$ | $\alpha^{13}$ | $\alpha^{14}$ | 3 | 1 | [0, 1, 3, 1, 4, 17, 5, 70, 6, 148, 7, 301, 8, 503, 9, 642, 10, 720, 11, 667, 1, 10, 11, 12] |
276 | $\alpha^{1}$ | $\alpha^{10}$ | $\alpha^{11}$ | $\alpha^{12}$ | 3 | 6 | [0, 1, 3, 6, 4, 13, 5, 59, 6, 165, 7, 298, 8, 477, 9, 663, 10, 735, 11, 658, 1, 10, 11, 13] |
277 | $\alpha^{1}$ | $\alpha^{10}$ | $\alpha^{11}$ | $\alpha^{13}$ | 3 | 2 | [0, 1, 3, 2, 4, 17, 5, 67, 6, 148, 7, 302, 8, 503, 9, 647, 10, 720, 11, 662, 1, 10, 11, 14] |
278 | $\alpha^{1}$ | $\alpha^{10}$ | $\alpha^{11}$ | $\alpha^{14}$ | 3 | 7 | [0, 1, 3, 7, 4, 15, 5, 52, 6, 152, 7, 311, 8, 505, 9, 660, 10, 712, 11, 645, 1, 10, 12, 13] |
279 | $\alpha^{1}$ | $\alpha^{10}$ | $\alpha^{12}$ | $\alpha^{13}$ | 3 | 4 | [0, 1, 3, 4, 4, 16, 5, 61, 6, 153, 7, 310, 8, 500, 9, 635, 10, 703, 11, 680, 1, 10, 12, 14] |
280 | $\alpha^{1}$ | $\alpha^{10}$ | $\alpha^{12}$ | $\alpha^{14}$ | 3 | 1 | [0, 1, 3, 1, 4, 20, 5, 64, 6, 140, 7, 317, 8, 512, 9, 636, 10, 706, 11, 651, 1, 10, 13, 14] |
281 | $\alpha^{1}$ | $\alpha^{10}$ | $\alpha^{13}$ | $\alpha^{14}$ | 3 | 1 | [0, 1, 3, 1, 4, 17, 5, 67, 6, 152, 7, 305, 8, 494, 9, 651, 10, 720, 11, 651, 1, 11, 12, 13] |
282 | $\alpha^{1}$ | $\alpha^{11}$ | $\alpha^{12}$ | $\alpha^{13}$ | 3 | 8 | [0, 1, 3, 8, 4, 13, 5, 49, 6, 165, 7, 316, 8, 477, 9, 653, 10, 735, 11, 648, 1, 11, 12, 14] |
283 | $\alpha^{1}$ | $\alpha^{11}$ | $\alpha^{12}$ | $\alpha^{14}$ | 3 | 4 | [0, 1, 3, 4, 4, 11, 5, 62, 6, 167, 7, 304, 8, 489, 9, 650, 10, 707, 11, 660, 1, 11, 13, 14] |
284 | $\alpha^{1}$ | $\alpha^{11}$ | $\alpha^{13}$ | $\alpha^{14}$ | 4 | 21 | [0, 1, 4, 21, 5, 63, 6, 152, 7, 312, 8, 479, 9, 655, 10, 728, 11, 648, 12, 503, 1, 12, 13, 14] |
285 | $\alpha^{1}$ | $\alpha^{12}$ | $\alpha^{13}$ | $\alpha^{14}$ | 3 | 4 | [0, 1, 3, 4, 4, 14, 5, 63, 6, 156, 7, 302, 8, 500, 9, 645, 10, 712, 11, 680, 2, 3, 4, 5] |
286 | $\alpha^{2}$ | $\alpha^{3}$ | $\alpha^{4}$ | $\alpha^{5}$ | 4 | 21 | [0, 1, 4, 21, 5, 63, 6, 152, 7, 312, 8, 479, 9, 655, 10, 728, 11, 648, 12, 503, 2, 3, 4, 6] |
287 | $\alpha^{2}$ | $\alpha^{3}$ | $\alpha^{4}$ | $\alpha^{6}$ | 3 | 5 | [0, 1, 3, 5, 4, 14, 5, 58, 6, 158, 7, 309, 8, 490, 9, 650, 10, 732, 11, 655, 2, 3, 4, 7] |
288 | $\alpha^{2}$ | $\alpha^{3}$ | $\alpha^{4}$ | $\alpha^{7}$ | 3 | 5 | [0, 1, 3, 5, 4, 15, 5, 56, 6, 155, 7, 311, 8, 497, 9, 662, 10, 715, 11, 627, 2, 3, 4, 8] |
289 | $\alpha^{2}$ | $\alpha^{3}$ | $\alpha^{4}$ | $\alpha^{8}$ | 3 | 6 | [0, 1, 3, 6, 4, 12, 5, 58, 6, 164, 7, 298, 8, 490, 9, 670, 10, 712, 11, 650, 2, 3, 4, 9] |
290 | $\alpha^{2}$ | $\alpha^{3}$ | $\alpha^{4}$ | $\alpha^{9}$ | 3 | 2 | [0, 1, 3, 2, 4, 16, 5, 63, 6, 154, 7, 314, 8, 496, 9, 639, 10, 708, 11, 654, 2, 3, 4, 10] |
291 | $\alpha^{2}$ | $\alpha^{3}$ | $\alpha^{4}$ | $\alpha^{10}$ | 3 | 4 | [0, 1, 3, 4, 4, 11, 5, 62, 6, 167, 7, 304, 8, 489, 9, 650, 10, 707, 11, 660, 2, 3, 4, 11] |
292 | $\alpha^{2}$ | $\alpha^{3}$ | $\alpha^{4}$ | $\alpha^{11}$ | 3 | 1 | [0, 1, 3, 1, 4, 15, 5, 71, 6, 156, 7, 293, 8, 496, 9, 659, 10, 712, 11, 659, 2, 3, 4, 12] |
293 | $\alpha^{2}$ | $\alpha^{3}$ | $\alpha^{4}$ | $\alpha^{12}$ | 3 | 1 | [0, 1, 3, 1, 4, 17, 5, 71, 6, 153, 7, 291, 8, 485, 9, 669, 10, 743, 11, 639, 2, 3, 4, 13] |
294 | $\alpha^{2}$ | $\alpha^{3}$ | $\alpha^{4}$ | $\alpha^{13}$ | 3 | 1 | [0, 1, 3, 1, 4, 20, 5, 64, 6, 140, 7, 317, 8, 512, 9, 636, 10, 706, 11, 651, 2, 3, 4, 14] |
295 | $\alpha^{2}$ | $\alpha^{3}$ | $\alpha^{4}$ | $\alpha^{14}$ | 3 | 4 | [0, 1, 3, 4, 4, 11, 5, 62, 6, 167, 7, 304, 8, 489, 9, 650, 10, 707, 11, 660, 2, 3, 5, 6] |
296 | $\alpha^{2}$ | $\alpha^{3}$ | $\alpha^{5}$ | $\alpha^{6}$ | 3 | 4 | [0, 1, 3, 4, 4, 16, 5, 61, 6, 153, 7, 310, 8, 500, 9, 635, 10, 703, 11, 680, 2, 3, 5, 7] |
297 | $\alpha^{2}$ | $\alpha^{3}$ | $\alpha^{5}$ | $\alpha^{7}$ | 3 | 1 | [0, 1, 3, 1, 4, 13, 5, 71, 6, 168, 7, 293, 8, 466, 9, 659, 10, 752, 11, 659, 2, 3, 5, 8] |
298 | $\alpha^{2}$ | $\alpha^{3}$ | $\alpha^{5}$ | $\alpha^{8}$ | 3 | 6 | [0, 1, 3, 6, 4, 15, 5, 58, 6, 158, 7, 302, 8, 483, 9, 658, 10, 740, 11, 658, 2, 3, 5, 9] |
299 | $\alpha^{2}$ | $\alpha^{3}$ | $\alpha^{5}$ | $\alpha^{9}$ | 3 | 1 | [0, 1, 3, 1, 4, 19, 5, 63, 6, 149, 7, 323, 8, 483, 9, 621, 10, 751, 11, 671, 2, 3, 5, 10] |
300 | $\alpha^{2}$ | $\alpha^{3}$ | $\alpha^{5}$ | $\alpha^{10}$ | 3 | 4 | [0, 1, 3, 4, 4, 11, 5, 62, 6, 167, 7, 304, 8, 489, 9, 650, 10, 707, 11, 660, 2, 3, 5, 11] |
301 | $\alpha^{2}$ | $\alpha^{3}$ | $\alpha^{5}$ | $\alpha^{11}$ | 3 | 5 | [0, 1, 3, 5, 4, 15, 5, 57, 6, 155, 7, 309, 8, 497, 9, 657, 10, 715, 11, 647, 2, 3, 5, 12] |
302 | $\alpha^{2}$ | $\alpha^{3}$ | $\alpha^{5}$ | $\alpha^{12}$ | 4 | 23 | [0, 1, 4, 23, 5, 56, 6, 154, 7, 320, 8, 479, 9, 664, 10, 700, 11, 640, 12, 537, 2, 3, 5, 13] |
303 | $\alpha^{2}$ | $\alpha^{3}$ | $\alpha^{5}$ | $\alpha^{13}$ | 4 | 20 | [0, 1, 4, 20, 5, 64, 6, 150, 7, 326, 8, 472, 9, 618, 10, 764, 11, 668, 12, 472, 2, 3, 5, 14] |
304 | $\alpha^{2}$ | $\alpha^{3}$ | $\alpha^{5}$ | $\alpha^{14}$ | 3 | 7 | [0, 1, 3, 7, 4, 14, 5, 55, 6, 157, 7, 303, 8, 502, 9, 663, 10, 695, 11, 653, 2, 3, 6, 7] |
305 | $\alpha^{2}$ | $\alpha^{3}$ | $\alpha^{6}$ | $\alpha^{7}$ | 3 | 5 | [0, 1, 3, 5, 4, 12, 5, 58, 6, 162, 7, 309, 8, 500, 9, 650, 10, 692, 11, 655, 2, 3, 6, 8] |
306 | $\alpha^{2}$ | $\alpha^{3}$ | $\alpha^{6}$ | $\alpha^{8}$ | 3 | 11 | [0, 1, 3, 11, 4, 20, 5, 48, 6, 146, 7, 295, 8, 484, 9, 684, 10, 756, 11, 649, 2, 3, 6, 9] |
307 | $\alpha^{2}$ | $\alpha^{3}$ | $\alpha^{6}$ | $\alpha^{9}$ | 3 | 4 | [0, 1, 3, 4, 4, 14, 5, 62, 6, 156, 7, 304, 8, 500, 9, 650, 10, 712, 11, 660, 2, 3, 6, 10] |
308 | $\alpha^{2}$ | $\alpha^{3}$ | $\alpha^{6}$ | $\alpha^{10}$ | 3 | 5 | [0, 1, 3, 5, 4, 13, 5, 60, 6, 160, 7, 301, 8, 495, 9, 660, 10, 712, 11, 655, 2, 3, 6, 11] |
309 | $\alpha^{2}$ | $\alpha^{3}$ | $\alpha^{6}$ | $\alpha^{11}$ | 3 | 5 | [0, 1, 3, 5, 4, 14, 5, 54, 6, 157, 7, 321, 8, 500, 9, 642, 10, 705, 11, 647, 2, 3, 6, 12] |
310 | $\alpha^{2}$ | $\alpha^{3}$ | $\alpha^{6}$ | $\alpha^{12}$ | 3 | 4 | [0, 1, 3, 4, 4, 18, 5, 59, 6, 144, 7, 314, 8, 508, 9, 637, 10, 720, 11, 672, 2, 3, 6, 13] |
311 | $\alpha^{2}$ | $\alpha^{3}$ | $\alpha^{6}$ | $\alpha^{13}$ | 3 | 8 | [0, 1, 3, 8, 4, 15, 5, 50, 6, 154, 7, 308, 8, 495, 9, 670, 10, 732, 11, 640, 2, 3, 6, 14] |
312 | $\alpha^{2}$ | $\alpha^{3}$ | $\alpha^{6}$ | $\alpha^{14}$ | 3 | 9 | [0, 1, 3, 9, 4, 15, 5, 47, 6, 154, 7, 309, 8, 495, 9, 675, 10, 732, 11, 635, 2, 3, 7, 8] |
313 | $\alpha^{2}$ | $\alpha^{3}$ | $\alpha^{7}$ | $\alpha^{8}$ | 3 | 7 | [0, 1, 3, 7, 4, 14, 5, 58, 6, 164, 7, 295, 8, 474, 9, 666, 10, 738, 11, 661, 2, 3, 7, 9] |
314 | $\alpha^{2}$ | $\alpha^{3}$ | $\alpha^{7}$ | $\alpha^{9}$ | 3 | 6 | [0, 1, 3, 6, 4, 13, 5, 56, 6, 159, 7, 306, 8, 499, 9, 660, 10, 707, 11, 650, 2, 3, 7, 10] |
315 | $\alpha^{2}$ | $\alpha^{3}$ | $\alpha^{7}$ | $\alpha^{10}$ | 3 | 1 | [0, 1, 3, 1, 4, 14, 5, 69, 6, 160, 7, 305, 8, 488, 9, 637, 10, 720, 11, 667, 2, 3, 7, 11] |
316 | $\alpha^{2}$ | $\alpha^{3}$ | $\alpha^{7}$ | $\alpha^{11}$ | 3 | 2 | [0, 1, 3, 2, 4, 21, 5, 49, 6, 164, 7, 326, 8, 459, 9, 669, 10, 720, 11, 630, 2, 3, 7, 12] |
317 | $\alpha^{2}$ | $\alpha^{3}$ | $\alpha^{7}$ | $\alpha^{12}$ | 3 | 5 | [0, 1, 3, 5, 4, 12, 5, 60, 6, 161, 7, 299, 8, 504, 9, 670, 10, 687, 11, 635, 2, 3, 7, 13] |
318 | $\alpha^{2}$ | $\alpha^{3}$ | $\alpha^{7}$ | $\alpha^{13}$ | 3 | 1 | [0, 1, 3, 1, 4, 19, 5, 63, 6, 160, 7, 299, 8, 469, 9, 685, 10, 728, 11, 623, 2, 3, 7, 14] |
319 | $\alpha^{2}$ | $\alpha^{3}$ | $\alpha^{7}$ | $\alpha^{14}$ | 3 | 5 | [0, 1, 3, 5, 4, 10, 5, 58, 6, 174, 7, 309, 8, 470, 9, 650, 10, 732, 11, 655, 2, 3, 8, 9] |
320 | $\alpha^{2}$ | $\alpha^{3}$ | $\alpha^{8}$ | $\alpha^{9}$ | 3 | 6 | [0, 1, 3, 6, 4, 13, 5, 57, 6, 160, 7, 302, 8, 495, 9, 665, 10, 712, 11, 650, 2, 3, 8, 10] |
321 | $\alpha^{2}$ | $\alpha^{3}$ | $\alpha^{8}$ | $\alpha^{10}$ | 3 | 6 | [0, 1, 3, 6, 4, 11, 5, 55, 6, 172, 7, 310, 8, 465, 9, 655, 10, 752, 11, 650, 2, 3, 8, 11] |
322 | $\alpha^{2}$ | $\alpha^{3}$ | $\alpha^{8}$ | $\alpha^{11}$ | 3 | 8 | [0, 1, 3, 8, 4, 15, 5, 56, 6, 162, 7, 292, 8, 471, 9, 676, 10, 748, 11, 656, 2, 3, 8, 12] |
323 | $\alpha^{2}$ | $\alpha^{3}$ | $\alpha^{8}$ | $\alpha^{12}$ | 3 | 6 | [0, 1, 3, 6, 4, 15, 5, 56, 6, 151, 7, 306, 8, 509, 9, 660, 10, 707, 11, 650, 2, 3, 8, 13] |
324 | $\alpha^{2}$ | $\alpha^{3}$ | $\alpha^{8}$ | $\alpha^{13}$ | 3 | 10 | [0, 1, 3, 10, 4, 17, 5, 51, 6, 157, 7, 294, 8, 473, 9, 679, 10, 751, 11, 654, 2, 3, 8, 14] |
325 | $\alpha^{2}$ | $\alpha^{3}$ | $\alpha^{8}$ | $\alpha^{14}$ | 3 | 10 | [0, 1, 3, 10, 4, 15, 5, 40, 6, 154, 7, 326, 8, 495, 9, 660, 10, 732, 11, 630, 2, 3, 9, 10] |
326 | $\alpha^{2}$ | $\alpha^{3}$ | $\alpha^{9}$ | $\alpha^{10}$ | 3 | 2 | [0, 1, 3, 2, 4, 14, 5, 66, 6, 162, 7, 302, 8, 481, 9, 654, 10, 732, 11, 654, 2, 3, 9, 11] |
327 | $\alpha^{2}$ | $\alpha^{3}$ | $\alpha^{9}$ | $\alpha^{11}$ | 3 | 5 | [0, 1, 3, 5, 4, 12, 5, 60, 6, 163, 7, 301, 8, 494, 9, 660, 10, 707, 11, 655, 2, 3, 9, 12] |
328 | $\alpha^{2}$ | $\alpha^{3}$ | $\alpha^{9}$ | $\alpha^{12}$ | 4 | 24 | [0, 1, 4, 24, 5, 60, 6, 134, 7, 336, 8, 498, 9, 620, 10, 742, 11, 640, 12, 480, 2, 3, 9, 13] |
329 | $\alpha^{2}$ | $\alpha^{3}$ | $\alpha^{9}$ | $\alpha^{13}$ | 3 | 1 | [0, 1, 3, 1, 4, 17, 5, 67, 6, 150, 7, 309, 8, 501, 9, 639, 10, 708, 11, 659, 2, 3, 9, 14] |
330 | $\alpha^{2}$ | $\alpha^{3}$ | $\alpha^{9}$ | $\alpha^{14}$ | 3 | 4 | [0, 1, 3, 4, 4, 12, 5, 59, 6, 167, 7, 312, 8, 482, 9, 647, 10, 715, 11, 652, 2, 3, 10, 11] |
331 | $\alpha^{2}$ | $\alpha^{3}$ | $\alpha^{10}$ | $\alpha^{11}$ | 3 | 1 | [0, 1, 3, 1, 4, 18, 5, 66, 6, 148, 7, 315, 8, 496, 9, 624, 10, 728, 11, 679, 2, 3, 10, 12] |
332 | $\alpha^{2}$ | $\alpha^{3}$ | $\alpha^{10}$ | $\alpha^{12}$ | 3 | 4 | [0, 1, 3, 4, 4, 13, 5, 63, 6, 160, 7, 300, 8, 495, 9, 655, 10, 712, 11, 660, 2, 3, 10, 13] |
333 | $\alpha^{2}$ | $\alpha^{3}$ | $\alpha^{10}$ | $\alpha^{13}$ | 3 | 1 | [0, 1, 3, 1, 4, 19, 5, 61, 6, 161, 7, 307, 8, 463, 9, 675, 10, 743, 11, 623, 2, 3, 10, 14] |
334 | $\alpha^{2}$ | $\alpha^{3}$ | $\alpha^{10}$ | $\alpha^{14}$ | 3 | 4 | [0, 1, 3, 4, 4, 11, 5, 63, 6, 166, 7, 300, 8, 493, 9, 655, 10, 702, 11, 660, 2, 3, 11, 12] |
335 | $\alpha^{2}$ | $\alpha^{3}$ | $\alpha^{11}$ | $\alpha^{12}$ | 3 | 7 | [0, 1, 3, 7, 4, 13, 5, 53, 6, 160, 7, 305, 8, 495, 9, 675, 10, 712, 11, 625, 2, 3, 11, 13] |
336 | $\alpha^{2}$ | $\alpha^{3}$ | $\alpha^{11}$ | $\alpha^{13}$ | 3 | 1 | [0, 1, 3, 1, 4, 20, 5, 58, 6, 156, 7, 323, 8, 474, 9, 640, 10, 728, 11, 663, 2, 3, 11, 14] |
337 | $\alpha^{2}$ | $\alpha^{3}$ | $\alpha^{11}$ | $\alpha^{14}$ | 3 | 6 | [0, 1, 3, 6, 4, 14, 5, 53, 6, 156, 7, 320, 8, 500, 9, 635, 10, 712, 11, 670, 2, 3, 12, 13] |
338 | $\alpha^{2}$ | $\alpha^{3}$ | $\alpha^{12}$ | $\alpha^{13}$ | 3 | 2 | [0, 1, 3, 2, 4, 17, 5, 67, 6, 148, 7, 302, 8, 503, 9, 647, 10, 720, 11, 662, 2, 3, 12, 14] |
339 | $\alpha^{2}$ | $\alpha^{3}$ | $\alpha^{12}$ | $\alpha^{14}$ | 3 | 4 | [0, 1, 3, 4, 4, 16, 5, 61, 6, 153, 7, 310, 8, 500, 9, 635, 10, 703, 11, 680, 2, 3, 13, 14] |
340 | $\alpha^{2}$ | $\alpha^{3}$ | $\alpha^{13}$ | $\alpha^{14}$ | 3 | 8 | [0, 1, 3, 8, 4, 13, 5, 49, 6, 165, 7, 316, 8, 477, 9, 653, 10, 735, 11, 648, 2, 4, 5, 6] |
341 | $\alpha^{2}$ | $\alpha^{4}$ | $\alpha^{5}$ | $\alpha^{6}$ | 3 | 1 | [0, 1, 3, 1, 4, 20, 5, 64, 6, 140, 7, 317, 8, 512, 9, 636, 10, 706, 11, 651, 2, 4, 5, 7] |
342 | $\alpha^{2}$ | $\alpha^{4}$ | $\alpha^{5}$ | $\alpha^{7}$ | 4 | 20 | [0, 1, 4, 20, 5, 64, 6, 150, 7, 326, 8, 472, 9, 618, 10, 764, 11, 668, 12, 472, 2, 4, 5, 8] |
343 | $\alpha^{2}$ | $\alpha^{4}$ | $\alpha^{5}$ | $\alpha^{8}$ | 3 | 8 | [0, 1, 3, 8, 4, 15, 5, 50, 6, 154, 7, 308, 8, 495, 9, 670, 10, 732, 11, 640, 2, 4, 5, 9] |
344 | $\alpha^{2}$ | $\alpha^{4}$ | $\alpha^{5}$ | $\alpha^{9}$ | 3 | 1 | [0, 1, 3, 1, 4, 19, 5, 63, 6, 160, 7, 299, 8, 469, 9, 685, 10, 728, 11, 623, 2, 4, 5, 10] |
345 | $\alpha^{2}$ | $\alpha^{4}$ | $\alpha^{5}$ | $\alpha^{10}$ | 3 | 10 | [0, 1, 3, 10, 4, 17, 5, 51, 6, 157, 7, 294, 8, 473, 9, 679, 10, 751, 11, 654, 2, 4, 5, 11] |
346 | $\alpha^{2}$ | $\alpha^{4}$ | $\alpha^{5}$ | $\alpha^{11}$ | 3 | 1 | [0, 1, 3, 1, 4, 17, 5, 67, 6, 150, 7, 309, 8, 501, 9, 639, 10, 708, 11, 659, 2, 4, 5, 12] |
347 | $\alpha^{2}$ | $\alpha^{4}$ | $\alpha^{5}$ | $\alpha^{12}$ | 3 | 1 | [0, 1, 3, 1, 4, 19, 5, 61, 6, 161, 7, 307, 8, 463, 9, 675, 10, 743, 11, 623, 2, 4, 5, 13] |
348 | $\alpha^{2}$ | $\alpha^{4}$ | $\alpha^{5}$ | $\alpha^{13}$ | 3 | 1 | [0, 1, 3, 1, 4, 20, 5, 58, 6, 156, 7, 323, 8, 474, 9, 640, 10, 728, 11, 663, 2, 4, 5, 14] |
349 | $\alpha^{2}$ | $\alpha^{4}$ | $\alpha^{5}$ | $\alpha^{14}$ | 3 | 2 | [0, 1, 3, 2, 4, 17, 5, 67, 6, 148, 7, 302, 8, 503, 9, 647, 10, 720, 11, 662, 2, 4, 6, 7] |
350 | $\alpha^{2}$ | $\alpha^{4}$ | $\alpha^{6}$ | $\alpha^{7}$ | 3 | 1 | [0, 1, 3, 1, 4, 20, 5, 58, 6, 156, 7, 323, 8, 474, 9, 640, 10, 728, 11, 663, 2, 4, 6, 8] |
351 | $\alpha^{2}$ | $\alpha^{4}$ | $\alpha^{6}$ | $\alpha^{8}$ | 3 | 6 | [0, 1, 3, 6, 4, 14, 5, 50, 6, 158, 7, 326, 8, 496, 9, 642, 10, 710, 11, 642, 2, 4, 6, 9] |
352 | $\alpha^{2}$ | $\alpha^{4}$ | $\alpha^{6}$ | $\alpha^{9}$ | 3 | 1 | [0, 1, 3, 1, 4, 16, 5, 67, 6, 158, 7, 305, 8, 479, 9, 651, 10, 740, 11, 651, 2, 4, 6, 10] |
353 | $\alpha^{2}$ | $\alpha^{4}$ | $\alpha^{6}$ | $\alpha^{10}$ | 3 | 5 | [0, 1, 3, 5, 4, 13, 5, 54, 6, 164, 7, 321, 8, 483, 9, 642, 10, 720, 11, 647, 2, 4, 6, 11] |
354 | $\alpha^{2}$ | $\alpha^{4}$ | $\alpha^{6}$ | $\alpha^{11}$ | 3 | 2 | [0, 1, 3, 2, 4, 20, 5, 53, 6, 164, 7, 312, 8, 466, 9, 687, 10, 712, 11, 618, 2, 4, 6, 12] |
355 | $\alpha^{2}$ | $\alpha^{4}$ | $\alpha^{6}$ | $\alpha^{12}$ | 3 | 6 | [0, 1, 3, 6, 4, 16, 5, 58, 6, 158, 7, 308, 8, 476, 9, 636, 10, 748, 11, 686, 2, 4, 6, 13] |
356 | $\alpha^{2}$ | $\alpha^{4}$ | $\alpha^{6}$ | $\alpha^{13}$ | 3 | 6 | [0, 1, 3, 6, 4, 14, 5, 50, 6, 158, 7, 326, 8, 496, 9, 642, 10, 710, 11, 642, 2, 4, 6, 14] |
357 | $\alpha^{2}$ | $\alpha^{4}$ | $\alpha^{6}$ | $\alpha^{14}$ | 3 | 2 | [0, 1, 3, 2, 4, 17, 5, 64, 6, 152, 7, 312, 8, 491, 9, 634, 10, 728, 11, 674, 2, 4, 7, 8] |
358 | $\alpha^{2}$ | $\alpha^{4}$ | $\alpha^{7}$ | $\alpha^{8}$ | 3 | 4 | [0, 1, 3, 4, 4, 13, 5, 62, 6, 160, 7, 306, 8, 495, 9, 640, 10, 712, 11, 680, 2, 4, 7, 9] |
359 | $\alpha^{2}$ | $\alpha^{4}$ | $\alpha^{7}$ | $\alpha^{9}$ | 3 | 4 | [0, 1, 3, 4, 4, 13, 5, 59, 6, 162, 7, 312, 8, 491, 9, 647, 10, 710, 11, 652, 2, 4, 7, 10] |
360 | $\alpha^{2}$ | $\alpha^{4}$ | $\alpha^{7}$ | $\alpha^{10}$ | 3 | 4 | [0, 1, 3, 4, 4, 13, 5, 63, 6, 160, 7, 300, 8, 495, 9, 655, 10, 712, 11, 660, 2, 4, 7, 11] |
361 | $\alpha^{2}$ | $\alpha^{4}$ | $\alpha^{7}$ | $\alpha^{11}$ | 3 | 2 | [0, 1, 3, 2, 4, 21, 5, 53, 6, 152, 7, 330, 8, 479, 9, 645, 10, 728, 11, 638, 2, 4, 7, 12] |
362 | $\alpha^{2}$ | $\alpha^{4}$ | $\alpha^{7}$ | $\alpha^{12}$ | 3 | 5 | [0, 1, 3, 5, 4, 13, 5, 65, 6, 171, 7, 289, 8, 455, 9, 661, 10, 763, 11, 671, 2, 4, 7, 13] |
363 | $\alpha^{2}$ | $\alpha^{4}$ | $\alpha^{7}$ | $\alpha^{13}$ | 3 | 1 | [0, 1, 3, 1, 4, 16, 5, 67, 6, 158, 7, 305, 8, 479, 9, 651, 10, 740, 11, 651, 2, 4, 7, 14] |
364 | $\alpha^{2}$ | $\alpha^{4}$ | $\alpha^{7}$ | $\alpha^{14}$ | 4 | 17 | [0, 1, 4, 17, 5, 68, 6, 164, 7, 294, 8, 471, 9, 678, 10, 720, 11, 636, 12, 515, 2, 4, 8, 9] |
365 | $\alpha^{2}$ | $\alpha^{4}$ | $\alpha^{8}$ | $\alpha^{9}$ | 3 | 4 | [0, 1, 3, 4, 4, 10, 5, 61, 6, 173, 7, 310, 8, 474, 9, 635, 10, 727, 11, 680, 2, 4, 8, 10] |
366 | $\alpha^{2}$ | $\alpha^{4}$ | $\alpha^{8}$ | $\alpha^{10}$ | 3 | 9 | [0, 1, 3, 9, 4, 15, 5, 43, 6, 154, 7, 325, 8, 495, 9, 655, 10, 732, 11, 635, 2, 4, 8, 11] |
367 | $\alpha^{2}$ | $\alpha^{4}$ | $\alpha^{8}$ | $\alpha^{11}$ | 3 | 6 | [0, 1, 3, 6, 4, 13, 5, 54, 6, 158, 7, 314, 8, 505, 9, 650, 10, 692, 11, 650, 2, 4, 8, 12] |
368 | $\alpha^{2}$ | $\alpha^{4}$ | $\alpha^{8}$ | $\alpha^{12}$ | 3 | 5 | [0, 1, 3, 5, 4, 12, 5, 56, 6, 164, 7, 319, 8, 490, 9, 630, 10, 712, 11, 675, 2, 4, 8, 13] |
369 | $\alpha^{2}$ | $\alpha^{4}$ | $\alpha^{8}$ | $\alpha^{13}$ | 3 | 5 | [0, 1, 3, 5, 4, 13, 5, 54, 6, 164, 7, 321, 8, 483, 9, 642, 10, 720, 11, 647, 2, 4, 8, 14] |
370 | $\alpha^{2}$ | $\alpha^{4}$ | $\alpha^{8}$ | $\alpha^{14}$ | 3 | 4 | [0, 1, 3, 4, 4, 14, 5, 61, 6, 153, 7, 310, 8, 514, 9, 635, 10, 687, 11, 680, 2, 4, 9, 10] |
371 | $\alpha^{2}$ | $\alpha^{4}$ | $\alpha^{9}$ | $\alpha^{10}$ | 3 | 6 | [0, 1, 3, 6, 4, 12, 5, 62, 6, 176, 7, 290, 8, 446, 9, 666, 10, 768, 11, 666, 2, 4, 9, 11] |
372 | $\alpha^{2}$ | $\alpha^{4}$ | $\alpha^{9}$ | $\alpha^{11}$ | 3 | 5 | [0, 1, 3, 5, 4, 12, 5, 58, 6, 166, 7, 309, 8, 480, 9, 650, 10, 732, 11, 655, 2, 4, 9, 12] |
373 | $\alpha^{2}$ | $\alpha^{4}$ | $\alpha^{9}$ | $\alpha^{12}$ | 3 | 1 | [0, 1, 3, 1, 4, 16, 5, 67, 6, 158, 7, 311, 8, 476, 9, 629, 10, 748, 11, 679, 2, 4, 9, 13] |
374 | $\alpha^{2}$ | $\alpha^{4}$ | $\alpha^{9}$ | $\alpha^{13}$ | 3 | 2 | [0, 1, 3, 2, 4, 20, 5, 53, 6, 164, 7, 312, 8, 466, 9, 687, 10, 712, 11, 618, 2, 4, 9, 14] |
375 | $\alpha^{2}$ | $\alpha^{4}$ | $\alpha^{9}$ | $\alpha^{14}$ | 3 | 4 | [0, 1, 3, 4, 4, 11, 5, 63, 6, 170, 7, 298, 8, 475, 9, 665, 10, 732, 11, 640, 2, 4, 10, 11] |
376 | $\alpha^{2}$ | $\alpha^{4}$ | $\alpha^{10}$ | $\alpha^{11}$ | 3 | 5 | [0, 1, 3, 5, 4, 14, 5, 56, 6, 160, 7, 313, 8, 486, 9, 652, 10, 730, 11, 647, 2, 4, 10, 12] |
377 | $\alpha^{2}$ | $\alpha^{4}$ | $\alpha^{10}$ | $\alpha^{12}$ | 3 | 5 | [0, 1, 3, 5, 4, 12, 5, 59, 6, 165, 7, 305, 8, 484, 9, 655, 10, 727, 11, 655, 2, 4, 10, 13] |
378 | $\alpha^{2}$ | $\alpha^{4}$ | $\alpha^{10}$ | $\alpha^{13}$ | 3 | 6 | [0, 1, 3, 6, 4, 16, 5, 58, 6, 158, 7, 308, 8, 476, 9, 636, 10, 748, 11, 686, 2, 4, 10, 14] |
379 | $\alpha^{2}$ | $\alpha^{4}$ | $\alpha^{10}$ | $\alpha^{14}$ | 3 | 4 | [0, 1, 3, 4, 4, 13, 5, 62, 6, 158, 7, 304, 8, 505, 9, 650, 10, 692, 11, 660, 2, 4, 11, 12] |
380 | $\alpha^{2}$ | $\alpha^{4}$ | $\alpha^{11}$ | $\alpha^{12}$ | 3 | 8 | [0, 1, 3, 8, 4, 15, 5, 55, 6, 161, 7, 296, 8, 475, 9, 671, 10, 743, 11, 656, 2, 4, 11, 13] |
381 | $\alpha^{2}$ | $\alpha^{4}$ | $\alpha^{11}$ | $\alpha^{13}$ | 3 | 6 | [0, 1, 3, 6, 4, 14, 5, 50, 6, 158, 7, 326, 8, 496, 9, 642, 10, 710, 11, 642, 2, 4, 11, 14] |
382 | $\alpha^{2}$ | $\alpha^{4}$ | $\alpha^{11}$ | $\alpha^{14}$ | 3 | 1 | [0, 1, 3, 1, 4, 16, 5, 69, 6, 152, 7, 305, 8, 498, 9, 637, 10, 720, 11, 667, 2, 4, 12, 13] |
383 | $\alpha^{2}$ | $\alpha^{4}$ | $\alpha^{12}$ | $\alpha^{13}$ | 3 | 2 | [0, 1, 3, 2, 4, 17, 5, 64, 6, 152, 7, 312, 8, 491, 9, 634, 10, 728, 11, 674, 2, 4, 12, 14] |
384 | $\alpha^{2}$ | $\alpha^{4}$ | $\alpha^{12}$ | $\alpha^{14}$ | 3 | 1 | [0, 1, 3, 1, 4, 13, 5, 71, 6, 168, 7, 293, 8, 466, 9, 659, 10, 752, 11, 659, 2, 4, 13, 14] |
385 | $\alpha^{2}$ | $\alpha^{4}$ | $\alpha^{13}$ | $\alpha^{14}$ | 3 | 7 | [0, 1, 3, 7, 4, 14, 5, 52, 6, 155, 7, 311, 8, 504, 9, 660, 10, 707, 11, 645, 2, 5, 6, 7] |
386 | $\alpha^{2}$ | $\alpha^{5}$ | $\alpha^{6}$ | $\alpha^{7}$ | 4 | 17 | [0, 1, 4, 17, 5, 70, 6, 151, 7, 308, 8, 495, 9, 634, 10, 723, 11, 664, 12, 491, 2, 5, 6, 8] |
387 | $\alpha^{2}$ | $\alpha^{5}$ | $\alpha^{6}$ | $\alpha^{8}$ | 3 | 5 | [0, 1, 3, 5, 4, 14, 5, 63, 6, 157, 7, 293, 8, 502, 9, 663, 10, 695, 11, 663, 2, 5, 6, 9] |
388 | $\alpha^{2}$ | $\alpha^{5}$ | $\alpha^{6}$ | $\alpha^{9}$ | 3 | 5 | [0, 1, 3, 5, 4, 15, 5, 58, 6, 152, 7, 309, 8, 505, 9, 650, 10, 712, 11, 655, 2, 5, 6, 10] |
389 | $\alpha^{2}$ | $\alpha^{5}$ | $\alpha^{6}$ | $\alpha^{10}$ | 3 | 4 | [0, 1, 3, 4, 4, 12, 5, 63, 6, 166, 7, 300, 8, 480, 9, 655, 10, 732, 11, 660, 2, 5, 6, 11] |
390 | $\alpha^{2}$ | $\alpha^{5}$ | $\alpha^{6}$ | $\alpha^{11}$ | 3 | 3 | [0, 1, 3, 3, 4, 18, 5, 57, 6, 154, 7, 325, 8, 474, 9, 631, 10, 756, 11, 661, 2, 5, 6, 12] |
391 | $\alpha^{2}$ | $\alpha^{5}$ | $\alpha^{6}$ | $\alpha^{12}$ | 4 | 19 | [0, 1, 4, 19, 5, 68, 6, 148, 7, 308, 8, 492, 9, 648, 10, 728, 11, 648, 12, 492, 2, 5, 6, 13] |
392 | $\alpha^{2}$ | $\alpha^{5}$ | $\alpha^{6}$ | $\alpha^{13}$ | 3 | 4 | [0, 1, 3, 4, 4, 13, 5, 62, 6, 160, 7, 306, 8, 495, 9, 640, 10, 712, 11, 680, 2, 5, 6, 14] |
393 | $\alpha^{2}$ | $\alpha^{5}$ | $\alpha^{6}$ | $\alpha^{14}$ | 3 | 3 | [0, 1, 3, 3, 4, 15, 5, 65, 6, 154, 7, 299, 8, 503, 9, 657, 10, 700, 11, 657, 2, 5, 7, 8] |
394 | $\alpha^{2}$ | $\alpha^{5}$ | $\alpha^{7}$ | $\alpha^{8}$ | 3 | 4 | [0, 1, 3, 4, 4, 13, 5, 63, 6, 160, 7, 300, 8, 495, 9, 655, 10, 712, 11, 660, 2, 5, 7, 9] |
395 | $\alpha^{2}$ | $\alpha^{5}$ | $\alpha^{7}$ | $\alpha^{9}$ | 3 | 5 | [0, 1, 3, 5, 4, 12, 5, 59, 6, 165, 7, 305, 8, 484, 9, 655, 10, 727, 11, 655, 2, 5, 7, 10] |
396 | $\alpha^{2}$ | $\alpha^{5}$ | $\alpha^{7}$ | $\alpha^{10}$ | 3 | 4 | [0, 1, 3, 4, 4, 11, 5, 62, 6, 170, 7, 304, 8, 475, 9, 650, 10, 732, 11, 660, 2, 5, 7, 11] |
397 | $\alpha^{2}$ | $\alpha^{5}$ | $\alpha^{7}$ | $\alpha^{11}$ | 3 | 1 | [0, 1, 3, 1, 4, 21, 5, 60, 6, 146, 7, 331, 8, 477, 9, 618, 10, 764, 11, 663, 2, 5, 7, 12] |
398 | $\alpha^{2}$ | $\alpha^{5}$ | $\alpha^{7}$ | $\alpha^{12}$ | 3 | 4 | [0, 1, 3, 4, 4, 11, 5, 61, 6, 173, 7, 304, 8, 467, 9, 657, 10, 735, 11, 652, 2, 5, 7, 13] |
399 | $\alpha^{2}$ | $\alpha^{5}$ | $\alpha^{7}$ | $\alpha^{13}$ | 3 | 4 | [0, 1, 3, 4, 4, 13, 5, 59, 6, 162, 7, 312, 8, 491, 9, 647, 10, 710, 11, 652, 2, 5, 7, 14] |
400 | $\alpha^{2}$ | $\alpha^{5}$ | $\alpha^{7}$ | $\alpha^{14}$ | 3 | 2 | [0, 1, 3, 2, 4, 18, 5, 57, 6, 165, 7, 312, 8, 458, 9, 675, 10, 743, 11, 618, 2, 5, 8, 9] |
401 | $\alpha^{2}$ | $\alpha^{5}$ | $\alpha^{8}$ | $\alpha^{9}$ | 3 | 5 | [0, 1, 3, 5, 4, 12, 5, 63, 6, 168, 7, 291, 8, 476, 9, 673, 10, 730, 11, 643, 2, 5, 8, 10] |
402 | $\alpha^{2}$ | $\alpha^{5}$ | $\alpha^{8}$ | $\alpha^{10}$ | 3 | 8 | [0, 1, 3, 8, 4, 14, 5, 49, 6, 158, 7, 312, 8, 490, 9, 665, 10, 732, 11, 640, 2, 5, 8, 11] |
403 | $\alpha^{2}$ | $\alpha^{5}$ | $\alpha^{8}$ | $\alpha^{11}$ | 3 | 6 | [0, 1, 3, 6, 4, 16, 5, 58, 6, 152, 7, 302, 8, 498, 9, 658, 10, 720, 11, 658, 2, 5, 8, 12] |
404 | $\alpha^{2}$ | $\alpha^{5}$ | $\alpha^{8}$ | $\alpha^{12}$ | 3 | 5 | [0, 1, 3, 5, 4, 14, 5, 57, 6, 161, 7, 309, 8, 482, 9, 657, 10, 735, 11, 647, 2, 5, 8, 13] |
405 | $\alpha^{2}$ | $\alpha^{5}$ | $\alpha^{8}$ | $\alpha^{13}$ | 3 | 4 | [0, 1, 3, 4, 4, 13, 5, 63, 6, 160, 7, 300, 8, 495, 9, 655, 10, 712, 11, 660, 2, 5, 8, 14] |
406 | $\alpha^{2}$ | $\alpha^{5}$ | $\alpha^{8}$ | $\alpha^{14}$ | 3 | 6 | [0, 1, 3, 6, 4, 14, 5, 55, 6, 158, 7, 310, 8, 490, 9, 655, 10, 732, 11, 650, 2, 5, 9, 10] |
407 | $\alpha^{2}$ | $\alpha^{5}$ | $\alpha^{9}$ | $\alpha^{10}$ | 3 | 7 | [0, 1, 3, 7, 4, 16, 5, 56, 6, 159, 7, 297, 8, 476, 9, 678, 10, 741, 11, 633, 2, 5, 9, 11] |
408 | $\alpha^{2}$ | $\alpha^{5}$ | $\alpha^{9}$ | $\alpha^{11}$ | 3 | 7 | [0, 1, 3, 7, 4, 15, 5, 53, 6, 157, 7, 313, 8, 487, 9, 643, 10, 735, 11, 673, 2, 5, 9, 12] |
409 | $\alpha^{2}$ | $\alpha^{5}$ | $\alpha^{9}$ | $\alpha^{12}$ | 3 | 1 | [0, 1, 3, 1, 4, 22, 5, 59, 6, 142, 7, 335, 8, 482, 9, 613, 10, 764, 11, 663, 2, 5, 9, 13] |
410 | $\alpha^{2}$ | $\alpha^{5}$ | $\alpha^{9}$ | $\alpha^{13}$ | 3 | 2 | [0, 1, 3, 2, 4, 21, 5, 53, 6, 152, 7, 330, 8, 479, 9, 645, 10, 728, 11, 638, 2, 5, 9, 14] |
411 | $\alpha^{2}$ | $\alpha^{5}$ | $\alpha^{9}$ | $\alpha^{14}$ | 3 | 3 | [0, 1, 3, 3, 4, 13, 5, 65, 6, 160, 7, 299, 8, 498, 9, 657, 10, 704, 11, 657, 2, 5, 10, 11] |
412 | $\alpha^{2}$ | $\alpha^{5}$ | $\alpha^{10}$ | $\alpha^{11}$ | 3 | 5 | [0, 1, 3, 5, 4, 15, 5, 58, 6, 158, 7, 303, 8, 483, 9, 672, 10, 740, 11, 627, 2, 5, 10, 12] |
413 | $\alpha^{2}$ | $\alpha^{5}$ | $\alpha^{10}$ | $\alpha^{12}$ | 3 | 4 | [0, 1, 3, 4, 4, 11, 5, 62, 6, 170, 7, 304, 8, 475, 9, 650, 10, 732, 11, 660, 2, 5, 10, 13] |
414 | $\alpha^{2}$ | $\alpha^{5}$ | $\alpha^{10}$ | $\alpha^{13}$ | 3 | 5 | [0, 1, 3, 5, 4, 13, 5, 65, 6, 171, 7, 289, 8, 455, 9, 661, 10, 763, 11, 671, 2, 5, 10, 14] |
415 | $\alpha^{2}$ | $\alpha^{5}$ | $\alpha^{10}$ | $\alpha^{14}$ | 3 | 6 | [0, 1, 3, 6, 4, 14, 5, 57, 6, 156, 7, 300, 8, 500, 9, 675, 10, 712, 11, 630, 2, 5, 11, 12] |
416 | $\alpha^{2}$ | $\alpha^{5}$ | $\alpha^{11}$ | $\alpha^{12}$ | 3 | 7 | [0, 1, 3, 7, 4, 14, 5, 51, 6, 156, 7, 315, 8, 500, 9, 655, 10, 712, 11, 645, 2, 5, 11, 13] |
417 | $\alpha^{2}$ | $\alpha^{5}$ | $\alpha^{11}$ | $\alpha^{13}$ | 3 | 1 | [0, 1, 3, 1, 4, 16, 5, 67, 6, 158, 7, 305, 8, 479, 9, 651, 10, 740, 11, 651, 2, 5, 11, 14] |
418 | $\alpha^{2}$ | $\alpha^{5}$ | $\alpha^{11}$ | $\alpha^{14}$ | 3 | 3 | [0, 1, 3, 3, 4, 19, 5, 58, 6, 145, 7, 319, 8, 503, 9, 646, 10, 711, 11, 641, 2, 5, 12, 13] |
419 | $\alpha^{2}$ | $\alpha^{5}$ | $\alpha^{12}$ | $\alpha^{13}$ | 4 | 17 | [0, 1, 4, 17, 5, 68, 6, 164, 7, 294, 8, 471, 9, 678, 10, 720, 11, 636, 12, 515, 2, 5, 12, 14] |
420 | $\alpha^{2}$ | $\alpha^{5}$ | $\alpha^{12}$ | $\alpha^{14}$ | 3 | 6 | [0, 1, 3, 6, 4, 15, 5, 58, 6, 158, 7, 302, 8, 483, 9, 658, 10, 740, 11, 658, 2, 5, 13, 14] |
421 | $\alpha^{2}$ | $\alpha^{5}$ | $\alpha^{13}$ | $\alpha^{14}$ | 3 | 6 | [0, 1, 3, 6, 4, 10, 5, 58, 6, 178, 7, 302, 8, 456, 9, 658, 10, 750, 11, 658, 2, 6, 7, 8] |
422 | $\alpha^{2}$ | $\alpha^{6}$ | $\alpha^{7}$ | $\alpha^{8}$ | 3 | 5 | [0, 1, 3, 5, 4, 14, 5, 62, 6, 159, 7, 297, 8, 492, 9, 658, 10, 715, 11, 663, 2, 6, 7, 9] |
423 | $\alpha^{2}$ | $\alpha^{6}$ | $\alpha^{7}$ | $\alpha^{9}$ | 3 | 4 | [0, 1, 3, 4, 4, 12, 5, 62, 6, 162, 7, 304, 8, 498, 9, 650, 10, 702, 11, 660, 2, 6, 7, 10] |
424 | $\alpha^{2}$ | $\alpha^{6}$ | $\alpha^{7}$ | $\alpha^{10}$ | 3 | 4 | [0, 1, 3, 4, 4, 10, 5, 61, 6, 170, 7, 310, 8, 488, 9, 635, 10, 702, 11, 680, 2, 6, 7, 11] |
425 | $\alpha^{2}$ | $\alpha^{6}$ | $\alpha^{7}$ | $\alpha^{11}$ | 3 | 1 | [0, 1, 3, 1, 4, 23, 5, 56, 6, 146, 7, 331, 8, 479, 9, 630, 10, 748, 11, 663, 2, 6, 7, 12] |
426 | $\alpha^{2}$ | $\alpha^{6}$ | $\alpha^{7}$ | $\alpha^{12}$ | 3 | 6 | [0, 1, 3, 6, 4, 14, 5, 61, 6, 163, 7, 294, 8, 480, 9, 661, 10, 723, 11, 666, 2, 6, 7, 13] |
427 | $\alpha^{2}$ | $\alpha^{6}$ | $\alpha^{7}$ | $\alpha^{13}$ | 3 | 4 | [0, 1, 3, 4, 4, 10, 5, 61, 6, 173, 7, 310, 8, 474, 9, 635, 10, 727, 11, 680, 2, 6, 7, 14] |
428 | $\alpha^{2}$ | $\alpha^{6}$ | $\alpha^{7}$ | $\alpha^{14}$ | 3 | 1 | [0, 1, 3, 1, 4, 18, 5, 65, 6, 150, 7, 319, 8, 486, 9, 619, 10, 748, 11, 679, 2, 6, 8, 9] |
429 | $\alpha^{2}$ | $\alpha^{6}$ | $\alpha^{8}$ | $\alpha^{9}$ | 3 | 5 | [0, 1, 3, 5, 4, 12, 5, 60, 6, 163, 7, 301, 8, 494, 9, 660, 10, 707, 11, 655, 2, 6, 8, 10] |
430 | $\alpha^{2}$ | $\alpha^{6}$ | $\alpha^{8}$ | $\alpha^{10}$ | 3 | 5 | [0, 1, 3, 5, 4, 12, 5, 58, 6, 166, 7, 309, 8, 480, 9, 650, 10, 732, 11, 655, 2, 6, 8, 11] |
431 | $\alpha^{2}$ | $\alpha^{6}$ | $\alpha^{8}$ | $\alpha^{11}$ | 3 | 7 | [0, 1, 3, 7, 4, 15, 5, 53, 6, 157, 7, 313, 8, 487, 9, 643, 10, 735, 11, 673, 2, 6, 8, 12] |
432 | $\alpha^{2}$ | $\alpha^{6}$ | $\alpha^{8}$ | $\alpha^{12}$ | 3 | 5 | [0, 1, 3, 5, 4, 14, 5, 55, 6, 160, 7, 317, 8, 488, 9, 647, 10, 720, 11, 647, 2, 6, 8, 13] |
433 | $\alpha^{2}$ | $\alpha^{6}$ | $\alpha^{8}$ | $\alpha^{13}$ | 3 | 9 | [0, 1, 3, 9, 4, 15, 5, 43, 6, 154, 7, 325, 8, 495, 9, 655, 10, 732, 11, 635, 2, 6, 8, 14] |
434 | $\alpha^{2}$ | $\alpha^{6}$ | $\alpha^{8}$ | $\alpha^{14}$ | 3 | 10 | [0, 1, 3, 10, 4, 16, 5, 45, 6, 154, 7, 310, 8, 488, 9, 673, 10, 740, 11, 638, 2, 6, 9, 10] |
435 | $\alpha^{2}$ | $\alpha^{6}$ | $\alpha^{9}$ | $\alpha^{10}$ | 3 | 2 | [0, 1, 3, 2, 4, 18, 5, 58, 6, 162, 7, 312, 8, 466, 9, 668, 10, 740, 11, 626, 2, 6, 9, 11] |
436 | $\alpha^{2}$ | $\alpha^{6}$ | $\alpha^{9}$ | $\alpha^{11}$ | 3 | 5 | [0, 1, 3, 5, 4, 14, 5, 55, 6, 160, 7, 317, 8, 488, 9, 647, 10, 720, 11, 647, 2, 6, 9, 12] |
437 | $\alpha^{2}$ | $\alpha^{6}$ | $\alpha^{9}$ | $\alpha^{12}$ | 4 | 23 | [0, 1, 4, 23, 5, 61, 6, 145, 7, 316, 8, 491, 9, 657, 10, 711, 11, 640, 12, 521, 2, 6, 9, 13] |
438 | $\alpha^{2}$ | $\alpha^{6}$ | $\alpha^{9}$ | $\alpha^{13}$ | 3 | 6 | [0, 1, 3, 6, 4, 13, 5, 54, 6, 158, 7, 314, 8, 505, 9, 650, 10, 692, 11, 650, 2, 6, 9, 14] |
439 | $\alpha^{2}$ | $\alpha^{6}$ | $\alpha^{9}$ | $\alpha^{14}$ | 3 | 1 | [0, 1, 3, 1, 4, 20, 5, 62, 6, 152, 7, 311, 8, 486, 9, 648, 10, 720, 11, 671, 2, 6, 10, 11] |
440 | $\alpha^{2}$ | $\alpha^{6}$ | $\alpha^{10}$ | $\alpha^{11}$ | 3 | 1 | [0, 1, 3, 1, 4, 17, 5, 67, 6, 152, 7, 305, 8, 494, 9, 651, 10, 720, 11, 651, 2, 6, 10, 12] |
441 | $\alpha^{2}$ | $\alpha^{6}$ | $\alpha^{10}$ | $\alpha^{12}$ | 3 | 1 | [0, 1, 3, 1, 4, 21, 5, 60, 6, 146, 7, 331, 8, 477, 9, 618, 10, 764, 11, 663, 2, 6, 10, 13] |
442 | $\alpha^{2}$ | $\alpha^{6}$ | $\alpha^{10}$ | $\alpha^{13}$ | 3 | 5 | [0, 1, 3, 5, 4, 12, 5, 56, 6, 164, 7, 319, 8, 490, 9, 630, 10, 712, 11, 675, 2, 6, 10, 14] |
443 | $\alpha^{2}$ | $\alpha^{6}$ | $\alpha^{10}$ | $\alpha^{14}$ | 3 | 1 | [0, 1, 3, 1, 4, 17, 5, 62, 6, 161, 7, 309, 8, 485, 9, 658, 10, 695, 11, 651, 2, 6, 11, 12] |
444 | $\alpha^{2}$ | $\alpha^{6}$ | $\alpha^{11}$ | $\alpha^{12}$ | 3 | 7 | [0, 1, 3, 7, 4, 15, 5, 55, 6, 158, 7, 309, 8, 489, 9, 641, 10, 718, 11, 681, 2, 6, 11, 13] |
445 | $\alpha^{2}$ | $\alpha^{6}$ | $\alpha^{11}$ | $\alpha^{13}$ | 3 | 5 | [0, 1, 3, 5, 4, 13, 5, 54, 6, 164, 7, 321, 8, 483, 9, 642, 10, 720, 11, 647, 2, 6, 11, 14] |
446 | $\alpha^{2}$ | $\alpha^{6}$ | $\alpha^{11}$ | $\alpha^{14}$ | 3 | 2 | [0, 1, 3, 2, 4, 16, 5, 63, 6, 155, 7, 314, 8, 490, 9, 639, 10, 723, 11, 654, 2, 6, 12, 13] |
447 | $\alpha^{2}$ | $\alpha^{6}$ | $\alpha^{12}$ | $\alpha^{13}$ | 3 | 4 | [0, 1, 3, 4, 4, 14, 5, 61, 6, 153, 7, 310, 8, 514, 9, 635, 10, 687, 11, 680, 2, 6, 12, 14] |
448 | $\alpha^{2}$ | $\alpha^{6}$ | $\alpha^{12}$ | $\alpha^{14}$ | 3 | 1 | [0, 1, 3, 1, 4, 19, 5, 63, 6, 149, 7, 323, 8, 483, 9, 621, 10, 751, 11, 671, 2, 6, 13, 14] |
449 | $\alpha^{2}$ | $\alpha^{6}$ | $\alpha^{13}$ | $\alpha^{14}$ | 3 | 9 | [0, 1, 3, 9, 4, 12, 5, 46, 6, 166, 7, 313, 8, 480, 9, 670, 10, 732, 11, 635, 2, 7, 8, 9] |
450 | $\alpha^{2}$ | $\alpha^{7}$ | $\alpha^{8}$ | $\alpha^{9}$ | 3 | 8 | [0, 1, 3, 8, 4, 11, 5, 50, 6, 170, 7, 308, 8, 475, 9, 670, 10, 732, 11, 640, 2, 7, 8, 10] |
451 | $\alpha^{2}$ | $\alpha^{7}$ | $\alpha^{8}$ | $\alpha^{10}$ | 3 | 4 | [0, 1, 3, 4, 4, 10, 5, 63, 6, 172, 7, 298, 8, 480, 9, 665, 10, 712, 11, 640, 2, 7, 8, 11] |
452 | $\alpha^{2}$ | $\alpha^{7}$ | $\alpha^{8}$ | $\alpha^{11}$ | 3 | 10 | [0, 1, 3, 10, 4, 18, 5, 49, 6, 152, 7, 302, 8, 482, 9, 669, 10, 746, 11, 654, 2, 7, 8, 12] |
453 | $\alpha^{2}$ | $\alpha^{7}$ | $\alpha^{8}$ | $\alpha^{12}$ | 3 | 8 | [0, 1, 3, 8, 4, 13, 5, 50, 6, 162, 7, 308, 8, 485, 9, 670, 10, 732, 11, 640, 2, 7, 8, 13] |
454 | $\alpha^{2}$ | $\alpha^{7}$ | $\alpha^{8}$ | $\alpha^{13}$ | 3 | 6 | [0, 1, 3, 6, 4, 12, 5, 62, 6, 176, 7, 290, 8, 446, 9, 666, 10, 768, 11, 666, 2, 7, 8, 14] |
455 | $\alpha^{2}$ | $\alpha^{7}$ | $\alpha^{8}$ | $\alpha^{14}$ | 3 | 4 | [0, 1, 3, 4, 4, 16, 5, 64, 6, 154, 7, 296, 8, 494, 9, 660, 10, 718, 11, 660, 2, 7, 9, 10] |
456 | $\alpha^{2}$ | $\alpha^{7}$ | $\alpha^{9}$ | $\alpha^{10}$ | 3 | 6 | [0, 1, 3, 6, 4, 11, 5, 55, 6, 172, 7, 310, 8, 465, 9, 655, 10, 752, 11, 650, 2, 7, 9, 11] |
457 | $\alpha^{2}$ | $\alpha^{7}$ | $\alpha^{9}$ | $\alpha^{11}$ | 3 | 9 | [0, 1, 3, 9, 4, 15, 5, 43, 6, 154, 7, 325, 8, 495, 9, 655, 10, 732, 11, 635, 2, 7, 9, 12] |
458 | $\alpha^{2}$ | $\alpha^{7}$ | $\alpha^{9}$ | $\alpha^{12}$ | 3 | 8 | [0, 1, 3, 8, 4, 14, 5, 49, 6, 158, 7, 312, 8, 490, 9, 665, 10, 732, 11, 640, 2, 7, 9, 13] |
459 | $\alpha^{2}$ | $\alpha^{7}$ | $\alpha^{9}$ | $\alpha^{13}$ | 3 | 5 | [0, 1, 3, 5, 4, 12, 5, 58, 6, 166, 7, 309, 8, 480, 9, 650, 10, 732, 11, 655, 2, 7, 9, 14] |
460 | $\alpha^{2}$ | $\alpha^{7}$ | $\alpha^{9}$ | $\alpha^{14}$ | 3 | 4 | [0, 1, 3, 4, 4, 10, 5, 63, 6, 172, 7, 298, 8, 480, 9, 665, 10, 712, 11, 640, 2, 7, 10, 11] |
461 | $\alpha^{2}$ | $\alpha^{7}$ | $\alpha^{10}$ | $\alpha^{11}$ | 3 | 1 | [0, 1, 3, 1, 4, 17, 5, 66, 6, 153, 7, 309, 8, 493, 9, 646, 10, 711, 11, 651, 2, 7, 10, 12] |
462 | $\alpha^{2}$ | $\alpha^{7}$ | $\alpha^{10}$ | $\alpha^{12}$ | 3 | 4 | [0, 1, 3, 4, 4, 11, 5, 61, 6, 173, 7, 304, 8, 467, 9, 657, 10, 735, 11, 652, 2, 7, 10, 13] |
463 | $\alpha^{2}$ | $\alpha^{7}$ | $\alpha^{10}$ | $\alpha^{13}$ | 3 | 1 | [0, 1, 3, 1, 4, 16, 5, 67, 6, 158, 7, 311, 8, 476, 9, 629, 10, 748, 11, 679, 2, 7, 10, 14] |
464 | $\alpha^{2}$ | $\alpha^{7}$ | $\alpha^{10}$ | $\alpha^{14}$ | 3 | 1 | [0, 1, 3, 1, 4, 13, 5, 71, 6, 168, 7, 293, 8, 466, 9, 659, 10, 752, 11, 659, 2, 7, 11, 12] |
465 | $\alpha^{2}$ | $\alpha^{7}$ | $\alpha^{11}$ | $\alpha^{12}$ | 3 | 11 | [0, 1, 3, 11, 4, 20, 5, 44, 6, 142, 7, 307, 8, 496, 9, 676, 10, 748, 11, 641, 2, 7, 11, 13] |
466 | $\alpha^{2}$ | $\alpha^{7}$ | $\alpha^{11}$ | $\alpha^{13}$ | 3 | 2 | [0, 1, 3, 2, 4, 20, 5, 53, 6, 164, 7, 312, 8, 466, 9, 687, 10, 712, 11, 618, 2, 7, 11, 14] |
467 | $\alpha^{2}$ | $\alpha^{7}$ | $\alpha^{11}$ | $\alpha^{14}$ | 3 | 1 | [0, 1, 3, 1, 4, 19, 5, 64, 6, 148, 7, 317, 8, 489, 9, 636, 10, 736, 11, 651, 2, 7, 12, 13] |
468 | $\alpha^{2}$ | $\alpha^{7}$ | $\alpha^{12}$ | $\alpha^{13}$ | 3 | 4 | [0, 1, 3, 4, 4, 11, 5, 63, 6, 170, 7, 298, 8, 475, 9, 665, 10, 732, 11, 640, 2, 7, 12, 14] |
469 | $\alpha^{2}$ | $\alpha^{7}$ | $\alpha^{12}$ | $\alpha^{14}$ | 3 | 4 | [0, 1, 3, 4, 4, 11, 5, 62, 6, 167, 7, 304, 8, 489, 9, 650, 10, 707, 11, 660, 2, 7, 13, 14] |
470 | $\alpha^{2}$ | $\alpha^{7}$ | $\alpha^{13}$ | $\alpha^{14}$ | 3 | 4 | [0, 1, 3, 4, 4, 11, 5, 62, 6, 170, 7, 304, 8, 475, 9, 650, 10, 732, 11, 660, 2, 8, 9, 10] |
471 | $\alpha^{2}$ | $\alpha^{8}$ | $\alpha^{9}$ | $\alpha^{10}$ | 3 | 6 | [0, 1, 3, 6, 4, 12, 5, 57, 6, 166, 7, 302, 8, 480, 9, 665, 10, 732, 11, 650, 2, 8, 9, 11] |
472 | $\alpha^{2}$ | $\alpha^{8}$ | $\alpha^{9}$ | $\alpha^{11}$ | 3 | 10 | [0, 1, 3, 10, 4, 16, 5, 45, 6, 154, 7, 310, 8, 488, 9, 673, 10, 740, 11, 638, 2, 8, 9, 12] |
473 | $\alpha^{2}$ | $\alpha^{8}$ | $\alpha^{9}$ | $\alpha^{12}$ | 3 | 8 | [0, 1, 3, 8, 4, 13, 5, 46, 6, 162, 7, 324, 8, 485, 9, 650, 10, 732, 11, 640, 2, 8, 9, 13] |
474 | $\alpha^{2}$ | $\alpha^{8}$ | $\alpha^{9}$ | $\alpha^{13}$ | 3 | 5 | [0, 1, 3, 5, 4, 14, 5, 56, 6, 160, 7, 313, 8, 486, 9, 652, 10, 730, 11, 647, 2, 8, 9, 14] |
475 | $\alpha^{2}$ | $\alpha^{8}$ | $\alpha^{9}$ | $\alpha^{14}$ | 3 | 6 | [0, 1, 3, 6, 4, 11, 5, 55, 6, 168, 7, 310, 8, 485, 9, 655, 10, 712, 11, 650, 2, 8, 10, 11] |
476 | $\alpha^{2}$ | $\alpha^{8}$ | $\alpha^{10}$ | $\alpha^{11}$ | 3 | 6 | [0, 1, 3, 6, 4, 13, 5, 56, 6, 159, 7, 306, 8, 499, 9, 660, 10, 707, 11, 650, 2, 8, 10, 12] |
477 | $\alpha^{2}$ | $\alpha^{8}$ | $\alpha^{10}$ | $\alpha^{12}$ | 3 | 4 | [0, 1, 3, 4, 4, 13, 5, 59, 6, 162, 7, 312, 8, 491, 9, 647, 10, 710, 11, 652, 2, 8, 10, 13] |
478 | $\alpha^{2}$ | $\alpha^{8}$ | $\alpha^{10}$ | $\alpha^{13}$ | 3 | 5 | [0, 1, 3, 5, 4, 12, 5, 59, 6, 165, 7, 305, 8, 484, 9, 655, 10, 727, 11, 655, 2, 8, 10, 14] |
479 | $\alpha^{2}$ | $\alpha^{8}$ | $\alpha^{10}$ | $\alpha^{14}$ | 3 | 4 | [0, 1, 3, 4, 4, 12, 5, 62, 6, 162, 7, 304, 8, 498, 9, 650, 10, 702, 11, 660, 2, 8, 11, 12] |
480 | $\alpha^{2}$ | $\alpha^{8}$ | $\alpha^{11}$ | $\alpha^{12}$ | 3 | 12 | [0, 1, 3, 12, 4, 20, 5, 41, 6, 142, 7, 308, 8, 496, 9, 681, 10, 748, 11, 636, 2, 8, 11, 13] |
481 | $\alpha^{2}$ | $\alpha^{8}$ | $\alpha^{11}$ | $\alpha^{13}$ | 3 | 6 | [0, 1, 3, 6, 4, 16, 5, 58, 6, 158, 7, 308, 8, 476, 9, 636, 10, 748, 11, 686, 2, 8, 11, 14] |
482 | $\alpha^{2}$ | $\alpha^{8}$ | $\alpha^{11}$ | $\alpha^{14}$ | 3 | 6 | [0, 1, 3, 6, 4, 17, 5, 57, 6, 151, 7, 300, 8, 495, 9, 675, 10, 723, 11, 630, 2, 8, 12, 13] |
483 | $\alpha^{2}$ | $\alpha^{8}$ | $\alpha^{12}$ | $\alpha^{13}$ | 3 | 4 | [0, 1, 3, 4, 4, 13, 5, 62, 6, 158, 7, 304, 8, 505, 9, 650, 10, 692, 11, 660, 2, 8, 12, 14] |
484 | $\alpha^{2}$ | $\alpha^{8}$ | $\alpha^{12}$ | $\alpha^{14}$ | 3 | 5 | [0, 1, 3, 5, 4, 15, 5, 57, 6, 155, 7, 309, 8, 497, 9, 657, 10, 715, 11, 647, 2, 8, 13, 14] |
485 | $\alpha^{2}$ | $\alpha^{8}$ | $\alpha^{13}$ | $\alpha^{14}$ | 3 | 8 | [0, 1, 3, 8, 4, 13, 5, 52, 6, 162, 7, 300, 8, 485, 9, 680, 10, 732, 11, 640, 2, 9, 10, 11] |
486 | $\alpha^{2}$ | $\alpha^{9}$ | $\alpha^{10}$ | $\alpha^{11}$ | 3 | 7 | [0, 1, 3, 7, 4, 14, 5, 55, 6, 162, 7, 305, 8, 478, 9, 653, 10, 740, 11, 673, 2, 9, 10, 12] |
487 | $\alpha^{2}$ | $\alpha^{9}$ | $\alpha^{10}$ | $\alpha^{12}$ | 3 | 2 | [0, 1, 3, 2, 4, 18, 5, 57, 6, 165, 7, 312, 8, 458, 9, 675, 10, 743, 11, 618, 2, 9, 10, 13] |
488 | $\alpha^{2}$ | $\alpha^{9}$ | $\alpha^{10}$ | $\alpha^{13}$ | 3 | 8 | [0, 1, 3, 8, 4, 15, 5, 55, 6, 161, 7, 296, 8, 475, 9, 671, 10, 743, 11, 656, 2, 9, 10, 14] |
489 | $\alpha^{2}$ | $\alpha^{9}$ | $\alpha^{10}$ | $\alpha^{14}$ | 3 | 2 | [0, 1, 3, 2, 4, 18, 5, 61, 6, 161, 7, 300, 8, 470, 9, 683, 10, 735, 11, 626, 2, 9, 11, 12] |
490 | $\alpha^{2}$ | $\alpha^{9}$ | $\alpha^{11}$ | $\alpha^{12}$ | 3 | 11 | [0, 1, 3, 11, 4, 20, 5, 48, 6, 146, 7, 295, 8, 484, 9, 684, 10, 756, 11, 649, 2, 9, 11, 13] |
491 | $\alpha^{2}$ | $\alpha^{9}$ | $\alpha^{11}$ | $\alpha^{13}$ | 3 | 6 | [0, 1, 3, 6, 4, 14, 5, 50, 6, 158, 7, 326, 8, 496, 9, 642, 10, 710, 11, 642, 2, 9, 11, 14] |
492 | $\alpha^{2}$ | $\alpha^{9}$ | $\alpha^{11}$ | $\alpha^{14}$ | 3 | 5 | [0, 1, 3, 5, 4, 14, 5, 63, 6, 157, 7, 293, 8, 502, 9, 663, 10, 695, 11, 663, 2, 9, 12, 13] |
493 | $\alpha^{2}$ | $\alpha^{9}$ | $\alpha^{12}$ | $\alpha^{13}$ | 3 | 1 | [0, 1, 3, 1, 4, 16, 5, 69, 6, 152, 7, 305, 8, 498, 9, 637, 10, 720, 11, 667, 2, 9, 12, 14] |
494 | $\alpha^{2}$ | $\alpha^{9}$ | $\alpha^{12}$ | $\alpha^{14}$ | 4 | 23 | [0, 1, 4, 23, 5, 56, 6, 154, 7, 320, 8, 479, 9, 664, 10, 700, 11, 640, 12, 537, 2, 9, 13, 14] |
495 | $\alpha^{2}$ | $\alpha^{9}$ | $\alpha^{13}$ | $\alpha^{14}$ | 3 | 5 | [0, 1, 3, 5, 4, 13, 5, 60, 6, 160, 7, 301, 8, 495, 9, 660, 10, 712, 11, 655, 2, 10, 11, 12] |
496 | $\alpha^{2}$ | $\alpha^{10}$ | $\alpha^{11}$ | $\alpha^{12}$ | 3 | 7 | [0, 1, 3, 7, 4, 14, 5, 56, 6, 162, 7, 299, 8, 478, 9, 668, 10, 740, 11, 653, 2, 10, 11, 13] |
497 | $\alpha^{2}$ | $\alpha^{10}$ | $\alpha^{11}$ | $\alpha^{13}$ | 3 | 2 | [0, 1, 3, 2, 4, 17, 5, 64, 6, 152, 7, 312, 8, 491, 9, 634, 10, 728, 11, 674, 2, 10, 11, 14] |
498 | $\alpha^{2}$ | $\alpha^{10}$ | $\alpha^{11}$ | $\alpha^{14}$ | 3 | 5 | [0, 1, 3, 5, 4, 11, 5, 61, 6, 173, 7, 303, 8, 467, 9, 643, 10, 735, 11, 683, 2, 10, 12, 13] |
499 | $\alpha^{2}$ | $\alpha^{10}$ | $\alpha^{12}$ | $\alpha^{13}$ | 3 | 1 | [0, 1, 3, 1, 4, 13, 5, 71, 6, 168, 7, 293, 8, 466, 9, 659, 10, 752, 11, 659, 2, 10, 12, 14] |
We focus on the the linear codes with greater $d_{\mathcal{D}}^\perp$, which are better in the sense of side-channel resistance (from our paper).
# Finding the indices of d_C=4
d_index = []
d_index_alpha_2 = []
d_index_alpha_3 = []
d_index_alpha_4 = []
d_index_alpha_5 = []
d_D_perp = 4
for i in range(len(d_dual_b)):
if d_dual_b[i][2] == d_D_perp:
d_index.append(i)
d_index_alpha_2.append(pow_ind[i][0])
d_index_alpha_3.append(pow_ind[i][1])
d_index_alpha_4.append(pow_ind[i][2])
d_index_alpha_5.append(pow_ind[i][3])
d_index = np.array(d_index)
d_index_alpha_2 = np.array(d_index_alpha_2)
d_index_alpha_3 = np.array(d_index_alpha_3)
d_index_alpha_4 = np.array(d_index_alpha_4)
d_index_alpha_5 = np.array(d_index_alpha_5)
print(len(d_index))
print(d_index)
51 [ 6 9 55 57 64 78 113 116 181 233 242 243 265 272 284 286 302 303 328 342 364 386 391 419 437 494 500 513 541 543 552 556 566 574 594 597 601 602 662 740 748 791 892 917 919 937 959 965 979 981 999]
def highlight(s, threshold, column):
is_min = pd.Series(data=False, index=s.index)
is_min[column] = (s.loc[column] <= threshold)
return ['background-color: gold' if is_min.any() else '' for v in is_min]
df_4 = pd.DataFrame({'$\\alpha_2$': np.array(alpha_all)[d_index_alpha_2], '$\\alpha_3$': np.array(alpha_all)[d_index_alpha_3],
'$\\alpha_4$': np.array(alpha_all)[d_index_alpha_4], '$\\alpha_5$': np.array(alpha_all)[d_index_alpha_5],
'$d_{\mathcal{D}}^\perp$': d_all[d_index], '$B_{d_{\mathcal{D}}^\perp}$': B_all[d_index], 'Weight Enumerators* (the first 24 elements)': np.array(d_dual_b)[d_index]})
df_4 = df_4.sort_values(by=['$B_{d_{\mathcal{D}}^\perp}$'], ascending=True)
(df_4.style
.apply(highlight, threshold=17, column=['$B_{d_{\mathcal{D}}^\perp}$'], axis=1)
.background_gradient(cmap=cm_2, subset=['$B_{d_{\mathcal{D}}^\perp}$' ])
.set_caption('Tab. II Linear codes for (5,2)-SSS-based masking with $d_{\mathcal{D}}^\perp=4$.')
.set_table_styles(styles))
$\alpha_2$ | $\alpha_3$ | $\alpha_4$ | $\alpha_5$ | $d_{\mathcal{D}}^\perp$ | $B_{d_{\mathcal{D}}^\perp}$ | Weight Enumerators* (the first 24 elements) | |
---|---|---|---|---|---|---|---|
38 | $\alpha^{3}$ | $\alpha^{10}$ | $\alpha^{11}$ | $\alpha^{13}$ | 4 | 17 | [0, 1, 4, 17, 5, 68, 6, 164, 7, 294, 8, 471, 9, 678, 10, 720, 11, 636, 12, 515, 3, 10, 11, 14] |
27 | $\alpha^{3}$ | $\alpha^{4}$ | $\alpha^{5}$ | $\alpha^{13}$ | 4 | 17 | [0, 1, 4, 17, 5, 70, 6, 151, 7, 308, 8, 495, 9, 634, 10, 723, 11, 664, 12, 491, 3, 4, 5, 14] |
20 | $\alpha^{2}$ | $\alpha^{4}$ | $\alpha^{7}$ | $\alpha^{14}$ | 4 | 17 | [0, 1, 4, 17, 5, 68, 6, 164, 7, 294, 8, 471, 9, 678, 10, 720, 11, 636, 12, 515, 2, 4, 8, 9] |
3 | $\alpha^{1}$ | $\alpha^{2}$ | $\alpha^{10}$ | $\alpha^{12}$ | 4 | 17 | [0, 1, 4, 17, 5, 70, 6, 151, 7, 308, 8, 495, 9, 634, 10, 723, 11, 664, 12, 491, 1, 2, 10, 13] |
13 | $\alpha^{1}$ | $\alpha^{9}$ | $\alpha^{11}$ | $\alpha^{14}$ | 4 | 17 | [0, 1, 4, 17, 5, 70, 6, 151, 7, 308, 8, 495, 9, 634, 10, 723, 11, 664, 12, 491, 1, 9, 12, 13] |
5 | $\alpha^{1}$ | $\alpha^{3}$ | $\alpha^{5}$ | $\alpha^{8}$ | 4 | 17 | [0, 1, 4, 17, 5, 68, 6, 164, 7, 294, 8, 471, 9, 678, 10, 720, 11, 636, 12, 515, 1, 3, 5, 9] |
45 | $\alpha^{7}$ | $\alpha^{8}$ | $\alpha^{10}$ | $\alpha^{12}$ | 4 | 17 | [0, 1, 4, 17, 5, 68, 6, 164, 7, 294, 8, 471, 9, 678, 10, 720, 11, 636, 12, 515, 7, 8, 10, 13] |
49 | $\alpha^{8}$ | $\alpha^{10}$ | $\alpha^{13}$ | $\alpha^{14}$ | 4 | 17 | [0, 1, 4, 17, 5, 70, 6, 151, 7, 308, 8, 495, 9, 634, 10, 723, 11, 664, 12, 491, 8, 11, 12, 13] |
23 | $\alpha^{2}$ | $\alpha^{5}$ | $\alpha^{12}$ | $\alpha^{13}$ | 4 | 17 | [0, 1, 4, 17, 5, 68, 6, 164, 7, 294, 8, 471, 9, 678, 10, 720, 11, 636, 12, 515, 2, 5, 12, 14] |
21 | $\alpha^{2}$ | $\alpha^{5}$ | $\alpha^{6}$ | $\alpha^{7}$ | 4 | 17 | [0, 1, 4, 17, 5, 70, 6, 151, 7, 308, 8, 495, 9, 634, 10, 723, 11, 664, 12, 491, 2, 5, 6, 8] |
12 | $\alpha^{1}$ | $\alpha^{8}$ | $\alpha^{13}$ | $\alpha^{14}$ | 4 | 18 | [0, 1, 4, 18, 5, 72, 6, 145, 7, 300, 8, 510, 9, 644, 10, 703, 11, 664, 12, 506, 1, 9, 10, 11] |
0 | $\alpha^{1}$ | $\alpha^{2}$ | $\alpha^{3}$ | $\alpha^{10}$ | 4 | 18 | [0, 1, 4, 18, 5, 72, 6, 145, 7, 300, 8, 510, 9, 644, 10, 703, 11, 664, 12, 506, 1, 2, 3, 11] |
41 | $\alpha^{5}$ | $\alpha^{6}$ | $\alpha^{7}$ | $\alpha^{8}$ | 4 | 18 | [0, 1, 4, 18, 5, 72, 6, 145, 7, 300, 8, 510, 9, 644, 10, 703, 11, 664, 12, 506, 5, 6, 7, 9] |
47 | $\alpha^{7}$ | $\alpha^{12}$ | $\alpha^{13}$ | $\alpha^{14}$ | 4 | 18 | [0, 1, 4, 18, 5, 72, 6, 145, 7, 300, 8, 510, 9, 644, 10, 703, 11, 664, 12, 506, 8, 9, 10, 11] |
2 | $\alpha^{1}$ | $\alpha^{2}$ | $\alpha^{9}$ | $\alpha^{14}$ | 4 | 18 | [0, 1, 4, 18, 5, 72, 6, 145, 7, 300, 8, 510, 9, 644, 10, 703, 11, 664, 12, 506, 1, 2, 10, 11] |
22 | $\alpha^{2}$ | $\alpha^{5}$ | $\alpha^{6}$ | $\alpha^{12}$ | 4 | 19 | [0, 1, 4, 19, 5, 68, 6, 148, 7, 308, 8, 492, 9, 648, 10, 728, 11, 648, 12, 492, 2, 5, 6, 13] |
32 | $\alpha^{3}$ | $\alpha^{5}$ | $\alpha^{8}$ | $\alpha^{9}$ | 4 | 19 | [0, 1, 4, 19, 5, 68, 6, 148, 7, 308, 8, 492, 9, 648, 10, 728, 11, 648, 12, 492, 3, 5, 8, 10] |
42 | $\alpha^{6}$ | $\alpha^{7}$ | $\alpha^{11}$ | $\alpha^{14}$ | 4 | 19 | [0, 1, 4, 19, 5, 71, 6, 141, 7, 304, 8, 515, 9, 639, 10, 703, 11, 664, 12, 501, 6, 7, 12, 13] |
39 | $\alpha^{4}$ | $\alpha^{7}$ | $\alpha^{8}$ | $\alpha^{14}$ | 4 | 19 | [0, 1, 4, 19, 5, 71, 6, 141, 7, 304, 8, 515, 9, 639, 10, 703, 11, 664, 12, 501, 4, 7, 9, 10] |
28 | $\alpha^{3}$ | $\alpha^{4}$ | $\alpha^{10}$ | $\alpha^{11}$ | 4 | 19 | [0, 1, 4, 19, 5, 71, 6, 141, 7, 304, 8, 515, 9, 639, 10, 703, 11, 664, 12, 501, 3, 4, 10, 12] |
43 | $\alpha^{6}$ | $\alpha^{9}$ | $\alpha^{11}$ | $\alpha^{14}$ | 4 | 19 | [0, 1, 4, 19, 5, 68, 6, 148, 7, 308, 8, 492, 9, 648, 10, 728, 11, 648, 12, 492, 6, 9, 12, 13] |
10 | $\alpha^{1}$ | $\alpha^{7}$ | $\alpha^{10}$ | $\alpha^{12}$ | 4 | 19 | [0, 1, 4, 19, 5, 68, 6, 148, 7, 308, 8, 492, 9, 648, 10, 728, 11, 648, 12, 492, 1, 7, 10, 13] |
9 | $\alpha^{1}$ | $\alpha^{7}$ | $\alpha^{8}$ | $\alpha^{12}$ | 4 | 19 | [0, 1, 4, 19, 5, 71, 6, 141, 7, 304, 8, 515, 9, 639, 10, 703, 11, 664, 12, 501, 1, 7, 8, 13] |
8 | $\alpha^{1}$ | $\alpha^{5}$ | $\alpha^{8}$ | $\alpha^{9}$ | 4 | 19 | [0, 1, 4, 19, 5, 71, 6, 141, 7, 304, 8, 515, 9, 639, 10, 703, 11, 664, 12, 501, 1, 5, 8, 10] |
29 | $\alpha^{3}$ | $\alpha^{4}$ | $\alpha^{10}$ | $\alpha^{13}$ | 4 | 19 | [0, 1, 4, 19, 5, 68, 6, 148, 7, 308, 8, 492, 9, 648, 10, 728, 11, 648, 12, 492, 3, 4, 10, 14] |
19 | $\alpha^{2}$ | $\alpha^{4}$ | $\alpha^{5}$ | $\alpha^{7}$ | 4 | 20 | [0, 1, 4, 20, 5, 64, 6, 150, 7, 326, 8, 472, 9, 618, 10, 764, 11, 668, 12, 472, 2, 4, 5, 8] |
7 | $\alpha^{1}$ | $\alpha^{3}$ | $\alpha^{11}$ | $\alpha^{13}$ | 4 | 20 | [0, 1, 4, 20, 5, 64, 6, 150, 7, 326, 8, 472, 9, 618, 10, 764, 11, 668, 12, 472, 1, 3, 11, 14] |
26 | $\alpha^{2}$ | $\alpha^{10}$ | $\alpha^{12}$ | $\alpha^{14}$ | 4 | 20 | [0, 1, 4, 20, 5, 64, 6, 150, 7, 326, 8, 472, 9, 618, 10, 764, 11, 668, 12, 472, 2, 10, 13, 14] |
48 | $\alpha^{8}$ | $\alpha^{10}$ | $\alpha^{12}$ | $\alpha^{13}$ | 4 | 20 | [0, 1, 4, 20, 5, 64, 6, 150, 7, 326, 8, 472, 9, 618, 10, 764, 11, 668, 12, 472, 8, 10, 12, 14] |
17 | $\alpha^{2}$ | $\alpha^{3}$ | $\alpha^{5}$ | $\alpha^{13}$ | 4 | 20 | [0, 1, 4, 20, 5, 64, 6, 150, 7, 326, 8, 472, 9, 618, 10, 764, 11, 668, 12, 472, 2, 3, 5, 14] |
50 | $\alpha^{10}$ | $\alpha^{12}$ | $\alpha^{13}$ | $\alpha^{14}$ | 4 | 21 | [0, 1, 4, 21, 5, 63, 6, 152, 7, 312, 8, 479, 9, 655, 10, 728, 11, 648, 12, 503, 11, 12, 13, 14] |
1 | $\alpha^{1}$ | $\alpha^{2}$ | $\alpha^{3}$ | $\alpha^{13}$ | 4 | 21 | [0, 1, 4, 21, 5, 63, 6, 152, 7, 312, 8, 479, 9, 655, 10, 728, 11, 648, 12, 503, 1, 2, 3, 14] |
4 | $\alpha^{1}$ | $\alpha^{2}$ | $\alpha^{12}$ | $\alpha^{14}$ | 4 | 21 | [0, 1, 4, 21, 5, 63, 6, 152, 7, 312, 8, 479, 9, 655, 10, 728, 11, 648, 12, 503, 1, 2, 13, 14] |
14 | $\alpha^{1}$ | $\alpha^{11}$ | $\alpha^{13}$ | $\alpha^{14}$ | 4 | 21 | [0, 1, 4, 21, 5, 63, 6, 152, 7, 312, 8, 479, 9, 655, 10, 728, 11, 648, 12, 503, 1, 12, 13, 14] |
15 | $\alpha^{2}$ | $\alpha^{3}$ | $\alpha^{4}$ | $\alpha^{5}$ | 4 | 21 | [0, 1, 4, 21, 5, 63, 6, 152, 7, 312, 8, 479, 9, 655, 10, 728, 11, 648, 12, 503, 2, 3, 4, 6] |
40 | $\alpha^{4}$ | $\alpha^{7}$ | $\alpha^{10}$ | $\alpha^{13}$ | 4 | 23 | [0, 1, 4, 23, 5, 61, 6, 145, 7, 316, 8, 491, 9, 657, 10, 711, 11, 640, 12, 521, 4, 7, 10, 14] |
46 | $\alpha^{7}$ | $\alpha^{10}$ | $\alpha^{12}$ | $\alpha^{13}$ | 4 | 23 | [0, 1, 4, 23, 5, 56, 6, 154, 7, 320, 8, 479, 9, 664, 10, 700, 11, 640, 12, 537, 7, 10, 12, 14] |
6 | $\alpha^{1}$ | $\alpha^{3}$ | $\alpha^{10}$ | $\alpha^{13}$ | 4 | 23 | [0, 1, 4, 23, 5, 56, 6, 154, 7, 320, 8, 479, 9, 664, 10, 700, 11, 640, 12, 537, 1, 3, 10, 14] |
30 | $\alpha^{3}$ | $\alpha^{5}$ | $\alpha^{6}$ | $\alpha^{8}$ | 4 | 23 | [0, 1, 4, 23, 5, 56, 6, 154, 7, 320, 8, 479, 9, 664, 10, 700, 11, 640, 12, 537, 3, 5, 6, 9] |
25 | $\alpha^{2}$ | $\alpha^{9}$ | $\alpha^{12}$ | $\alpha^{14}$ | 4 | 23 | [0, 1, 4, 23, 5, 56, 6, 154, 7, 320, 8, 479, 9, 664, 10, 700, 11, 640, 12, 537, 2, 9, 13, 14] |
36 | $\alpha^{3}$ | $\alpha^{6}$ | $\alpha^{9}$ | $\alpha^{11}$ | 4 | 23 | [0, 1, 4, 23, 5, 61, 6, 145, 7, 316, 8, 491, 9, 657, 10, 711, 11, 640, 12, 521, 3, 6, 9, 12] |
35 | $\alpha^{3}$ | $\alpha^{6}$ | $\alpha^{8}$ | $\alpha^{12}$ | 4 | 23 | [0, 1, 4, 23, 5, 61, 6, 145, 7, 316, 8, 491, 9, 657, 10, 711, 11, 640, 12, 521, 3, 6, 8, 13] |
33 | $\alpha^{3}$ | $\alpha^{5}$ | $\alpha^{9}$ | $\alpha^{12}$ | 4 | 23 | [0, 1, 4, 23, 5, 61, 6, 145, 7, 316, 8, 491, 9, 657, 10, 711, 11, 640, 12, 521, 3, 5, 9, 13] |
24 | $\alpha^{2}$ | $\alpha^{6}$ | $\alpha^{9}$ | $\alpha^{12}$ | 4 | 23 | [0, 1, 4, 23, 5, 61, 6, 145, 7, 316, 8, 491, 9, 657, 10, 711, 11, 640, 12, 521, 2, 6, 9, 13] |
16 | $\alpha^{2}$ | $\alpha^{3}$ | $\alpha^{5}$ | $\alpha^{12}$ | 4 | 23 | [0, 1, 4, 23, 5, 56, 6, 154, 7, 320, 8, 479, 9, 664, 10, 700, 11, 640, 12, 537, 2, 3, 5, 13] |
18 | $\alpha^{2}$ | $\alpha^{3}$ | $\alpha^{9}$ | $\alpha^{12}$ | 4 | 24 | [0, 1, 4, 24, 5, 60, 6, 134, 7, 336, 8, 498, 9, 620, 10, 742, 11, 640, 12, 480, 2, 3, 9, 13] |
11 | $\alpha^{1}$ | $\alpha^{7}$ | $\alpha^{10}$ | $\alpha^{13}$ | 4 | 24 | [0, 1, 4, 24, 5, 60, 6, 134, 7, 336, 8, 498, 9, 620, 10, 742, 11, 640, 12, 480, 1, 7, 10, 14] |
44 | $\alpha^{6}$ | $\alpha^{9}$ | $\alpha^{12}$ | $\alpha^{14}$ | 4 | 24 | [0, 1, 4, 24, 5, 60, 6, 134, 7, 336, 8, 498, 9, 620, 10, 742, 11, 640, 12, 480, 6, 9, 13, 14] |
34 | $\alpha^{3}$ | $\alpha^{6}$ | $\alpha^{8}$ | $\alpha^{9}$ | 4 | 24 | [0, 1, 4, 24, 5, 60, 6, 134, 7, 336, 8, 498, 9, 620, 10, 742, 11, 640, 12, 480, 3, 6, 8, 10] |
31 | $\alpha^{3}$ | $\alpha^{5}$ | $\alpha^{6}$ | $\alpha^{12}$ | 4 | 24 | [0, 1, 4, 24, 5, 60, 6, 134, 7, 336, 8, 498, 9, 620, 10, 742, 11, 640, 12, 480, 3, 5, 6, 13] |
37 | $\alpha^{3}$ | $\alpha^{6}$ | $\alpha^{9}$ | $\alpha^{12}$ | 4 | 25 | [0, 1, 4, 25, 5, 64, 6, 120, 7, 320, 8, 550, 9, 640, 10, 656, 11, 640, 12, 550, 3, 6, 9, 13] |
As shown in our paper, the codes satifying two conditions are optimal:
Note that we use two complementary metrics SNR (signal-to-noise ratio) and MI (mutual information) to assess the side-channel resistance of SSS-based masking with different codes.
As a result of Tab. II, we conclude that the optimal codes for (5,2)-SSS based masking are generated by $\mathbf{H} = \left(\begin{matrix} \alpha_1 & \alpha_2 & \alpha_3 & \alpha_4 & \alpha_5 \\ \alpha_1^2 & \alpha_2^2 & \alpha_3^2 & \alpha_4^2 & \alpha_5^2 \end{matrix}\right)$ where there are nine optimal codes with different $(\alpha_1, \alpha_2, \alpha_3, \alpha_4, \alpha_5)$. Note that permutation on five public points does not change the codes due to equivalence.
The generator matrices of the all ten codes are: