1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
|
# script used to create shas.html from allbsd.* files:
from sage.all import isqrt
# we do not call the output file "shas.html" so we can compare the new
# version with the old
HTML_FILENAME = "newshas.html"
MAX_RANK = 4
SHA_LIST = range(2, 35) + [37, 41, 43, 47, 50, 75]
def make_rankshatable(nmax=30, verbose=False):
total_tab = {}
rank_tab = [{} for r in range(MAX_RANK + 1)]
range_tab = [{} for n in range(nmax)]
total = 0
rank_total = [0 for r in range(MAX_RANK + 1)]
range_total = [0 for n in range(nmax)]
for n in range(nmax):
infilename = ''.join(["allbigsha/allbigsha.", str(n), "0000-", str(n), "9999"])
if verbose:
print("processing " + infilename)
infile = open(infilename)
for L in infile.readlines():
_, _, _, _, r, _, S = L.split()
r = int(r)
S = int(S)
s = int(isqrt(S))
total_tab[s] = total_tab.get(s, 0) + 1
rank_tab[r][s] = rank_tab[r].get(s, 0) + 1
range_tab[n][s] = range_tab[n].get(s, 0) + 1
total += 1
rank_total[r] += 1
range_total[n] += 1
infile.close()
if verbose:
print("Totals for range {}0000-{}9999: {} (total {})".format(n, n, range_tab[n], range_total))
if verbose:
print("\nTotals for all ranks: {} (total {})\n".format(total_tab, total))
outfilename = HTML_FILENAME
outfile = open(outfilename, mode='w')
# header info for html file
outfile.write('<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">\n')
outfile.write("<HTML>\n")
outfile.write("<HEAD>\n")
outfile.write('<meta http-equiv="Content-Type" content="text/html;charset=ISO-8859-1">\n')
outfile.write("<TITLE>Analytic Shas</TITLE>\n")
outfile.write("</HEAD>\n")
outfile.write("<BODY>\n")
#
# First table: by ranges, not subdivided by rank
#
outfile.write("<H3 align=center>\n")
outfile.write("Number of curves with nontrivial (analytic) Sha, by conductor range\n")
outfile.write("</H3>\n")
outfile.write("<P align=center>\n")
outfile.write("Details in files allbigsha.00000-09999 etc.\n")
outfile.write("</P>\n")
# Table head
outfile.write("<table border=2 align=center cellpadding=3 rules=groups>\n")
outfile.write("<colgroup span=1>\n")
outfile.write("<colgroup span=1>\n")
outfile.write("<colgroup span=33>\n")
outfile.write("<colgroup span=1>\n")
outfile.write("<colgroup span=1>\n")
outfile.write("<colgroup span=1>\n")
outfile.write("<colgroup span=1>\n")
outfile.write("<colgroup span=1>\n")
outfile.write("<thead>\n")
outfile.write('<tr style="border: solid">\n')
outfile.write("<th>N<th>all>1")
for s in SHA_LIST:
outfile.write("<th>%s<sup>2</sup>" % s)
outfile.write("\n</tr>\n")
outfile.write("</thead>\n")
# Table foot
outfile.write("<tfoot >\n")
outfile.write("<tr>\n")
outfile.write("<th align=right>1-%s9999</th>\n" % str(nmax-1))
outfile.write("<td align=right>%s</td>\n" % total)
for s in SHA_LIST:
outfile.write("<td align=right>%s</td>\n" % total_tab.get(s, 0))
outfile.write("\n</tr>\n")
outfile.write('<tr style="border: solid">\n')
outfile.write("<th>N<th>all>1")
for s in SHA_LIST:
outfile.write("<th>%s<sup>2</sup>" % s)
outfile.write("\n</tr>\n")
outfile.write("</tfoot>\n")
# Table body
outfile.write("<tbody>\n")
for n in range(nmax):
outfile.write("<tr>\n")
if n == 0:
outfile.write("<th align=right>1-9999</th>\n")
else:
outfile.write("<th align=right>%s0000-%s9999</th>\n" % (str(n), str(n)))
outfile.write("<td align=right>%s</td>\n" % range_total[n])
for s in SHA_LIST:
outfile.write("<td align=right>%s</td>\n" % range_tab[n].get(s, ' '))
outfile.write("</tr>\n")
outfile.write("</tbody>\n")
outfile.write("</table>\n")
outfile.write("<br>\n")
#
# Second table: by ranks, not subdivided by range
#
outfile.write("<H3 align=center>\n")
outfile.write("Number of curves with nontrivial (analytic) Sha, by rank\n")
outfile.write("</H3>\n")
outfile.write("<table border=2 align=center cellpadding=3 rules=groups>\n")
outfile.write("<colgroup span=1>\n")
outfile.write("<colgroup span=1>\n")
outfile.write("<colgroup span=33>\n")
outfile.write("<colgroup span=1>\n")
outfile.write("<colgroup span=1>\n")
outfile.write("<colgroup span=1>\n")
outfile.write("<colgroup span=1>\n")
outfile.write("<colgroup span=1>\n")
outfile.write("<thead>\n")
outfile.write('<tr style="border: solid">\n')
outfile.write("<th> <th>all>1")
for s in SHA_LIST:
outfile.write("<th>%s<sup>2</sup>" % s)
outfile.write("\n</tr>\n")
outfile.write("</thead>\n")
# Table foot
outfile.write("<tfoot >\n")
outfile.write("<tr>\n")
outfile.write("<th align=right>all ranks</th>\n")
outfile.write("<td align=right>%s</td>\n" % total)
for s in SHA_LIST:
outfile.write("<td align=right>%s</td>\n" % total_tab.get(s, 0))
outfile.write("\n</tr>\n")
outfile.write('<tr style="border: solid">\n')
outfile.write("<th> <th>all>1")
for s in SHA_LIST:
outfile.write("<th>%s<sup>2</sup>" % s)
outfile.write("\n</tr>\n")
outfile.write("</tfoot>\n")
# Table body
outfile.write("<tbody>\n")
for r in range(MAX_RANK+1):
if rank_total[r] > 0:
outfile.write("<tr>\n")
outfile.write("<th align=right>r=%s</th>\n" % str(r))
outfile.write("<td align=right>%s</td>\n" % rank_total[r])
for s in SHA_LIST:
outfile.write("<td align=right>%s</td>\n" % rank_tab[r].get(s, ' '))
outfile.write("</tr>\n")
outfile.write("</tbody>\n")
outfile.write("</table>\n")
outfile.write("<br>\n")
# footer info for html file
outfile.write("<p>\n")
outfile.write(' <a href="http://validator.w3.org/check?uri=referer"><img border="0"\n')
outfile.write(' src="http://www.w3.org/Icons/valid-html401"\n')
outfile.write(' alt="Valid HTML 4.01!" height="31" width="88"></a>\n')
outfile.write("</p>\n")
outfile.write("</BODY>\n")
outfile.write("</HTML>\n")
if verbose:
for r in range(MAX_RANK + 1):
if rank_total[r] > 0:
print("Totals for rank {}: {} (total {})".format(r, rank_tab[r], rank_total[r]))
|
