# psl2_roles.py run 2026-10-24T16:12:48Z q-list [4, 5, 7, 8, 9, 11, 13, 16, 17, 19, 23, 25, 27, 29, 31, 32, 37, 41, 43, 47, 49, 53, 59, 61, 64, 67, 71, 73, 79, 81, 83, 89, 97, 101, 103, 107, 109, 113, 121, 125, 127, 128, 131, 137, 139, 149, 151, 157, 163, 167, 169, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 243, 251, 256, 257, 263, 269, 271, 277, 281, 283, 289, 293, 307, 311, 313, 317, 331, 337, 343, 347, 349, 353, 359, 361, 367, 373, 379, 383, 389, 397, 401, 409, 419, 421, 431, 433, 439, 443, 449, 457, 461, 463, 467, 479, 487, 491, 499, 503, 509, 512, 521, 523, 529, 541, 547, 557, 563, 569, 571, 577]
q=4 p=2 order=60 involutions=15 ord3=20 |A(c0)|=8 |P(a0)|=6 homs_L_with_C=c0=0 C-solutions=0 C+D=0 C+E=0 C+F=0 all_four=0 time=0.0s
q=5 p=5 order=60 involutions=15 ord3=20 |A(c0)|=8 |P(a0)|=6 homs_L_with_C=c0=0 C-solutions=0 C+D=0 C+E=0 C+F=0 all_four=0 time=0.0s
q=7 p=7 order=168 involutions=21 ord3=56 |A(c0)|=16 |P(a0)|=6 homs_L_with_C=c0=32 C-solutions=32 C+D=0 C+E=0 C+F=16 all_four=0 time=0.0s
q=8 p=2 order=504 involutions=63 ord3=56 |A(c0)|=0 |P(a0)|=0 homs_L_with_C=c0=0 C-solutions=0 C+D=0 C+E=0 C+F=0 all_four=0 time=0.0s
q=9 p=3 order=360 involutions=45 ord3=80 |A(c0)|=16 |P(a0)|=9/9 homs_L_with_C=c0=32 C-solutions=32 C+D=0 C+E=0 C+F=32 all_four=0 time=0.0s
q=11 p=11 order=660 involutions=55 ord3=110 |A(c0)|=24 |P(a0)|=12 homs_L_with_C=c0=0 C-solutions=0 C+D=0 C+E=0 C+F=0 all_four=0 time=0.0s
q=13 p=13 order=1092 involutions=91 ord3=182 |A(c0)|=24 |P(a0)|=12 homs_L_with_C=c0=0 C-solutions=0 C+D=0 C+E=0 C+F=0 all_four=0 time=0.0s
q=16 p=2 order=4080 involutions=255 ord3=272 |A(c0)|=32 |P(a0)|=30 homs_L_with_C=c0=0 C-solutions=0 C+D=0 C+E=0 C+F=0 all_four=0 time=0.0s
q=17 p=17 order=2448 involutions=153 ord3=272 |A(c0)|=32 |P(a0)|=18 homs_L_with_C=c0=64 C-solutions=64 C+D=0 C+E=0 C+F=64 all_four=0 time=0.0s
q=19 p=19 order=3420 involutions=171 ord3=380 |A(c0)|=40 |P(a0)|=18 homs_L_with_C=c0=0 C-solutions=0 C+D=0 C+E=0 C+F=0 all_four=0 time=0.0s
q=23 p=23 order=6072 involutions=253 ord3=506 |A(c0)|=48 |P(a0)|=24 homs_L_with_C=c0=96 C-solutions=96 C+D=0 C+E=0 C+F=96 all_four=0 time=0.0s
q=25 p=5 order=7800 involutions=325 ord3=650 |A(c0)|=48 |P(a0)|=24 homs_L_with_C=c0=96 C-solutions=96 C+D=0 C+E=0 C+F=96 all_four=0 time=0.0s
q=27 p=3 order=9828 involutions=351 ord3=728 |A(c0)|=56 |P(a0)|=27/27 homs_L_with_C=c0=0 C-solutions=0 C+D=0 C+E=0 C+F=0 all_four=0 time=0.0s
q=29 p=29 order=12180 involutions=435 ord3=812 |A(c0)|=56 |P(a0)|=30 homs_L_with_C=c0=0 C-solutions=0 C+D=0 C+E=0 C+F=0 all_four=0 time=0.0s
q=31 p=31 order=14880 involutions=465 ord3=992 |A(c0)|=64 |P(a0)|=30 homs_L_with_C=c0=128 C-solutions=128 C+D=0 C+E=0 C+F=128 all_four=0 time=0.0s
q=32 p=2 order=32736 involutions=1023 ord3=992 |A(c0)|=0 |P(a0)|=0 homs_L_with_C=c0=0 C-solutions=0 C+D=0 C+E=0 C+F=0 all_four=0 time=0.0s
q=37 p=37 order=25308 involutions=703 ord3=1406 |A(c0)|=72 |P(a0)|=36 homs_L_with_C=c0=0 C-solutions=0 C+D=0 C+E=0 C+F=0 all_four=0 time=0.0s
q=41 p=41 order=34440 involutions=861 ord3=1640 |A(c0)|=80 |P(a0)|=42 homs_L_with_C=c0=160 C-solutions=160 C+D=0 C+E=0 C+F=160 all_four=0 time=0.0s
q=43 p=43 order=39732 involutions=903 ord3=1892 |A(c0)|=88 |P(a0)|=42 homs_L_with_C=c0=0 C-solutions=0 C+D=0 C+E=0 C+F=0 all_four=0 time=0.0s
q=47 p=47 order=51888 involutions=1081 ord3=2162 |A(c0)|=96 |P(a0)|=48 homs_L_with_C=c0=192 C-solutions=192 C+D=0 C+E=0 C+F=192 all_four=0 time=0.0s
q=49 p=7 order=58800 involutions=1225 ord3=2450 |A(c0)|=96 |P(a0)|=48 homs_L_with_C=c0=192 C-solutions=192 C+D=0 C+E=0 C+F=96 all_four=0 time=0.0s
q=53 p=53 order=74412 involutions=1431 ord3=2756 |A(c0)|=104 |P(a0)|=54 homs_L_with_C=c0=0 C-solutions=0 C+D=0 C+E=0 C+F=0 all_four=0 time=0.0s
q=59 p=59 order=102660 involutions=1711 ord3=3422 |A(c0)|=120 |P(a0)|=60 homs_L_with_C=c0=0 C-solutions=0 C+D=0 C+E=0 C+F=0 all_four=0 time=0.0s
q=61 p=61 order=113460 involutions=1891 ord3=3782 |A(c0)|=120 |P(a0)|=60 homs_L_with_C=c0=0 C-solutions=0 C+D=0 C+E=0 C+F=0 all_four=0 time=0.0s
q=64 p=2 order=262080 involutions=4095 ord3=4160 |A(c0)|=128 |P(a0)|=126 homs_L_with_C=c0=0 C-solutions=0 C+D=0 C+E=0 C+F=0 all_four=0 time=0.0s
q=67 p=67 order=150348 involutions=2211 ord3=4556 |A(c0)|=136 |P(a0)|=66 homs_L_with_C=c0=0 C-solutions=0 C+D=0 C+E=0 C+F=0 all_four=0 time=0.0s
q=71 p=71 order=178920 involutions=2485 ord3=4970 |A(c0)|=144 |P(a0)|=72 homs_L_with_C=c0=288 C-solutions=288 C+D=0 C+E=0 C+F=288 all_four=0 time=0.0s
q=73 p=73 order=194472 involutions=2701 ord3=5402 |A(c0)|=144 |P(a0)|=72 homs_L_with_C=c0=288 C-solutions=288 C+D=0 C+E=0 C+F=288 all_four=0 time=0.0s
q=79 p=79 order=246480 involutions=3081 ord3=6320 |A(c0)|=160 |P(a0)|=78 homs_L_with_C=c0=320 C-solutions=320 C+D=0 C+E=0 C+F=320 all_four=0 time=0.0s
q=81 p=3 order=265680 involutions=3321 ord3=6560 |A(c0)|=160 |P(a0)|=81/81 homs_L_with_C=c0=320 C-solutions=320 C+D=0 C+E=0 C+F=320 all_four=0 time=0.0s
q=83 p=83 order=285852 involutions=3403 ord3=6806 |A(c0)|=168 |P(a0)|=84 homs_L_with_C=c0=0 C-solutions=0 C+D=0 C+E=0 C+F=0 all_four=0 time=0.0s
q=89 p=89 order=352440 involutions=4005 ord3=7832 |A(c0)|=176 |P(a0)|=90 homs_L_with_C=c0=352 C-solutions=352 C+D=0 C+E=0 C+F=352 all_four=0 time=0.0s
q=97 p=97 order=456288 involutions=4753 ord3=9506 |A(c0)|=192 |P(a0)|=96 homs_L_with_C=c0=384 C-solutions=384 C+D=0 C+E=0 C+F=384 all_four=0 time=0.0s
q=101 p=101 order=515100 involutions=5151 ord3=10100 |A(c0)|=200 |P(a0)|=102 homs_L_with_C=c0=0 C-solutions=0 C+D=0 C+E=0 C+F=0 all_four=0 time=0.0s
q=103 p=103 order=546312 involutions=5253 ord3=10712 |A(c0)|=208 |P(a0)|=102 homs_L_with_C=c0=416 C-solutions=416 C+D=0 C+E=0 C+F=416 all_four=0 time=0.0s
q=107 p=107 order=612468 involutions=5671 ord3=11342 |A(c0)|=216 |P(a0)|=108 homs_L_with_C=c0=0 C-solutions=0 C+D=0 C+E=0 C+F=0 all_four=0 time=0.0s
q=109 p=109 order=647460 involutions=5995 ord3=11990 |A(c0)|=216 |P(a0)|=108 homs_L_with_C=c0=0 C-solutions=0 C+D=0 C+E=0 C+F=0 all_four=0 time=0.0s
q=113 p=113 order=721392 involutions=6441 ord3=12656 |A(c0)|=224 |P(a0)|=114 homs_L_with_C=c0=448 C-solutions=448 C+D=0 C+E=0 C+F=448 all_four=0 time=0.0s
q=121 p=11 order=885720 involutions=7381 ord3=14762 |A(c0)|=240 |P(a0)|=120 homs_L_with_C=c0=480 C-solutions=480 C+D=0 C+E=0 C+F=480 all_four=0 time=0.0s
q=125 p=5 order=976500 involutions=7875 ord3=15500 |A(c0)|=248 |P(a0)|=126 homs_L_with_C=c0=0 C-solutions=0 C+D=0 C+E=0 C+F=0 all_four=0 time=0.0s
q=127 p=127 order=1024128 involutions=8001 ord3=16256 |A(c0)|=256 |P(a0)|=126 homs_L_with_C=c0=512 C-solutions=512 C+D=0 C+E=0 C+F=512 all_four=0 time=0.0s
q=128 p=2 order=2097024 involutions=16383 ord3=16256 |A(c0)|=0 |P(a0)|=0 homs_L_with_C=c0=0 C-solutions=0 C+D=0 C+E=0 C+F=0 all_four=0 time=0.0s
q=131 p=131 order=1123980 involutions=8515 ord3=17030 |A(c0)|=264 |P(a0)|=132 homs_L_with_C=c0=0 C-solutions=0 C+D=0 C+E=0 C+F=0 all_four=0 time=0.0s
q=137 p=137 order=1285608 involutions=9453 ord3=18632 |A(c0)|=272 |P(a0)|=138 homs_L_with_C=c0=544 C-solutions=544 C+D=0 C+E=0 C+F=544 all_four=0 time=0.0s
q=139 p=139 order=1342740 involutions=9591 ord3=19460 |A(c0)|=280 |P(a0)|=138 homs_L_with_C=c0=0 C-solutions=0 C+D=0 C+E=0 C+F=0 all_four=0 time=0.0s
q=149 p=149 order=1653900 involutions=11175 ord3=22052 |A(c0)|=296 |P(a0)|=150 homs_L_with_C=c0=0 C-solutions=0 C+D=0 C+E=0 C+F=0 all_four=0 time=0.0s
q=151 p=151 order=1721400 involutions=11325 ord3=22952 |A(c0)|=304 |P(a0)|=150 homs_L_with_C=c0=608 C-solutions=608 C+D=0 C+E=0 C+F=608 all_four=0 time=0.0s
q=157 p=157 order=1934868 involutions=12403 ord3=24806 |A(c0)|=312 |P(a0)|=156 homs_L_with_C=c0=0 C-solutions=0 C+D=0 C+E=0 C+F=0 all_four=0 time=0.0s
q=163 p=163 order=2165292 involutions=13203 ord3=26732 |A(c0)|=328 |P(a0)|=162 homs_L_with_C=c0=0 C-solutions=0 C+D=0 C+E=0 C+F=0 all_four=0 time=0.0s
q=167 p=167 order=2328648 involutions=13861 ord3=27722 |A(c0)|=336 |P(a0)|=168 homs_L_with_C=c0=672 C-solutions=672 C+D=0 C+E=0 C+F=672 all_four=0 time=0.0s
q=169 p=13 order=2413320 involutions=14365 ord3=28730 |A(c0)|=336 |P(a0)|=168 homs_L_with_C=c0=672 C-solutions=672 C+D=0 C+E=0 C+F=672 all_four=0 time=0.1s
q=173 p=173 order=2588772 involutions=15051 ord3=29756 |A(c0)|=344 |P(a0)|=174 homs_L_with_C=c0=0 C-solutions=0 C+D=0 C+E=0 C+F=0 all_four=0 time=0.0s
q=179 p=179 order=2867580 involutions=15931 ord3=31862 |A(c0)|=360 |P(a0)|=180 homs_L_with_C=c0=0 C-solutions=0 C+D=0 C+E=0 C+F=0 all_four=0 time=0.0s
q=181 p=181 order=2964780 involutions=16471 ord3=32942 |A(c0)|=360 |P(a0)|=180 homs_L_with_C=c0=0 C-solutions=0 C+D=0 C+E=0 C+F=0 all_four=0 time=0.0s
q=191 p=191 order=3483840 involutions=18145 ord3=36290 |A(c0)|=384 |P(a0)|=192 homs_L_with_C=c0=768 C-solutions=768 C+D=0 C+E=0 C+F=768 all_four=0 time=0.1s
q=193 p=193 order=3594432 involutions=18721 ord3=37442 |A(c0)|=384 |P(a0)|=192 homs_L_with_C=c0=768 C-solutions=768 C+D=0 C+E=0 C+F=768 all_four=0 time=0.1s
q=197 p=197 order=3822588 involutions=19503 ord3=38612 |A(c0)|=392 |P(a0)|=198 homs_L_with_C=c0=0 C-solutions=0 C+D=0 C+E=0 C+F=0 all_four=0 time=0.0s
q=199 p=199 order=3940200 involutions=19701 ord3=39800 |A(c0)|=400 |P(a0)|=198 homs_L_with_C=c0=800 C-solutions=800 C+D=0 C+E=0 C+F=800 all_four=0 time=0.1s
q=211 p=211 order=4696860 involutions=22155 ord3=44732 |A(c0)|=424 |P(a0)|=210 homs_L_with_C=c0=0 C-solutions=0 C+D=0 C+E=0 C+F=0 all_four=0 time=0.0s
q=223 p=223 order=5544672 involutions=24753 ord3=49952 |A(c0)|=448 |P(a0)|=222 homs_L_with_C=c0=896 C-solutions=896 C+D=0 C+E=0 C+F=896 all_four=0 time=0.1s
q=227 p=227 order=5848428 involutions=25651 ord3=51302 |A(c0)|=456 |P(a0)|=228 homs_L_with_C=c0=0 C-solutions=0 C+D=0 C+E=0 C+F=0 all_four=0 time=0.1s
q=229 p=229 order=6004380 involutions=26335 ord3=52670 |A(c0)|=456 |P(a0)|=228 homs_L_with_C=c0=0 C-solutions=0 C+D=0 C+E=0 C+F=0 all_four=0 time=0.1s
q=233 p=233 order=6324552 involutions=27261 ord3=54056 |A(c0)|=464 |P(a0)|=234 homs_L_with_C=c0=928 C-solutions=928 C+D=0 C+E=0 C+F=928 all_four=0 time=0.1s
q=239 p=239 order=6825840 involutions=28441 ord3=56882 |A(c0)|=480 |P(a0)|=240 homs_L_with_C=c0=960 C-solutions=960 C+D=0 C+E=0 C+F=960 all_four=0 time=0.1s
q=241 p=241 order=6998640 involutions=29161 ord3=58322 |A(c0)|=480 |P(a0)|=240 homs_L_with_C=c0=960 C-solutions=960 C+D=0 C+E=0 C+F=960 all_four=0 time=0.1s
q=243 p=3 order=7174332 involutions=29403 ord3=59048 |A(c0)|=488 |P(a0)|=243/243 homs_L_with_C=c0=0 C-solutions=0 C+D=0 C+E=0 C+F=0 all_four=0 time=0.1s
q=251 p=251 order=7906500 involutions=31375 ord3=62750 |A(c0)|=504 |P(a0)|=252 homs_L_with_C=c0=0 C-solutions=0 C+D=0 C+E=0 C+F=0 all_four=0 time=0.1s
q=256 p=2 order=16776960 involutions=65535 ord3=65792 |A(c0)|=512 |P(a0)|=510 homs_L_with_C=c0=0 C-solutions=0 C+D=0 C+E=0 C+F=0 all_four=0 time=0.1s
q=257 p=257 order=8487168 involutions=33153 ord3=65792 |A(c0)|=512 |P(a0)|=258 homs_L_with_C=c0=1024 C-solutions=1024 C+D=0 C+E=0 C+F=1024 all_four=0 time=0.1s
q=263 p=263 order=9095592 involutions=34453 ord3=68906 |A(c0)|=528 |P(a0)|=264 homs_L_with_C=c0=1056 C-solutions=1056 C+D=0 C+E=0 C+F=1056 all_four=0 time=0.1s
q=269 p=269 order=9732420 involutions=36315 ord3=72092 |A(c0)|=536 |P(a0)|=270 homs_L_with_C=c0=0 C-solutions=0 C+D=0 C+E=0 C+F=0 all_four=0 time=0.1s
q=271 p=271 order=9951120 involutions=36585 ord3=73712 |A(c0)|=544 |P(a0)|=270 homs_L_with_C=c0=1088 C-solutions=1088 C+D=0 C+E=0 C+F=1088 all_four=0 time=0.1s
q=277 p=277 order=10626828 involutions=38503 ord3=77006 |A(c0)|=552 |P(a0)|=276 homs_L_with_C=c0=0 C-solutions=0 C+D=0 C+E=0 C+F=0 all_four=0 time=0.1s
q=281 p=281 order=11093880 involutions=39621 ord3=78680 |A(c0)|=560 |P(a0)|=282 homs_L_with_C=c0=1120 C-solutions=1120 C+D=0 C+E=0 C+F=1120 all_four=0 time=0.2s
q=283 p=283 order=11332452 involutions=39903 ord3=80372 |A(c0)|=568 |P(a0)|=282 homs_L_with_C=c0=0 C-solutions=0 C+D=0 C+E=0 C+F=0 all_four=0 time=0.1s
q=289 p=17 order=12068640 involutions=41905 ord3=83810 |A(c0)|=576 |P(a0)|=288 homs_L_with_C=c0=1152 C-solutions=1152 C+D=0 C+E=0 C+F=1152 all_four=0 time=0.2s
q=293 p=293 order=12576732 involutions=43071 ord3=85556 |A(c0)|=584 |P(a0)|=294 homs_L_with_C=c0=0 C-solutions=0 C+D=0 C+E=0 C+F=0 all_four=0 time=0.1s
q=307 p=307 order=14467068 involutions=46971 ord3=94556 |A(c0)|=616 |P(a0)|=306 homs_L_with_C=c0=0 C-solutions=0 C+D=0 C+E=0 C+F=0 all_four=0 time=0.1s
q=311 p=311 order=15039960 involutions=48205 ord3=96410 |A(c0)|=624 |P(a0)|=312 homs_L_with_C=c0=1248 C-solutions=1248 C+D=0 C+E=0 C+F=1248 all_four=0 time=0.2s
q=313 p=313 order=15331992 involutions=49141 ord3=98282 |A(c0)|=624 |P(a0)|=312 homs_L_with_C=c0=1248 C-solutions=1248 C+D=0 C+E=0 C+F=1248 all_four=0 time=0.2s
q=317 p=317 order=15927348 involutions=50403 ord3=100172 |A(c0)|=632 |P(a0)|=318 homs_L_with_C=c0=0 C-solutions=0 C+D=0 C+E=0 C+F=0 all_four=0 time=0.1s
q=331 p=331 order=18132180 involutions=54615 ord3=109892 |A(c0)|=664 |P(a0)|=330 homs_L_with_C=c0=0 C-solutions=0 C+D=0 C+E=0 C+F=0 all_four=0 time=0.1s
q=337 p=337 order=19136208 involutions=56953 ord3=113906 |A(c0)|=672 |P(a0)|=336 homs_L_with_C=c0=1344 C-solutions=1344 C+D=0 C+E=0 C+F=1344 all_four=0 time=0.3s
q=343 p=7 order=20176632 involutions=58653 ord3=117992 |A(c0)|=688 |P(a0)|=342 homs_L_with_C=c0=1376 C-solutions=1376 C+D=0 C+E=0 C+F=688 all_four=0 time=0.3s
q=347 p=347 order=20890788 involutions=60031 ord3=120062 |A(c0)|=696 |P(a0)|=348 homs_L_with_C=c0=0 C-solutions=0 C+D=0 C+E=0 C+F=0 all_four=0 time=0.2s
q=349 p=349 order=21254100 involutions=61075 ord3=122150 |A(c0)|=696 |P(a0)|=348 homs_L_with_C=c0=0 C-solutions=0 C+D=0 C+E=0 C+F=0 all_four=0 time=0.2s
q=353 p=353 order=21993312 involutions=62481 ord3=124256 |A(c0)|=704 |P(a0)|=354 homs_L_with_C=c0=1408 C-solutions=1408 C+D=0 C+E=0 C+F=1408 all_four=0 time=0.3s
q=359 p=359 order=23133960 involutions=64261 ord3=128522 |A(c0)|=720 |P(a0)|=360 homs_L_with_C=c0=1440 C-solutions=1440 C+D=0 C+E=0 C+F=1440 all_four=0 time=0.3s
q=361 p=19 order=23522760 involutions=65341 ord3=130682 |A(c0)|=720 |P(a0)|=360 homs_L_with_C=c0=1440 C-solutions=1440 C+D=0 C+E=0 C+F=1440 all_four=0 time=0.3s
q=367 p=367 order=24715248 involutions=67161 ord3=135056 |A(c0)|=736 |P(a0)|=366 homs_L_with_C=c0=1472 C-solutions=1472 C+D=0 C+E=0 C+F=1472 all_four=0 time=0.3s
q=373 p=373 order=25947372 involutions=69751 ord3=139502 |A(c0)|=744 |P(a0)|=372 homs_L_with_C=c0=0 C-solutions=0 C+D=0 C+E=0 C+F=0 all_four=0 time=0.2s
q=379 p=379 order=27219780 involutions=71631 ord3=144020 |A(c0)|=760 |P(a0)|=378 homs_L_with_C=c0=0 C-solutions=0 C+D=0 C+E=0 C+F=0 all_four=0 time=0.2s
q=383 p=383 order=28090752 involutions=73153 ord3=146306 |A(c0)|=768 |P(a0)|=384 homs_L_with_C=c0=1536 C-solutions=1536 C+D=0 C+E=0 C+F=1536 all_four=0 time=0.4s
q=389 p=389 order=29431740 involutions=75855 ord3=150932 |A(c0)|=776 |P(a0)|=390 homs_L_with_C=c0=0 C-solutions=0 C+D=0 C+E=0 C+F=0 all_four=0 time=0.2s
q=397 p=397 order=31285188 involutions=79003 ord3=158006 |A(c0)|=792 |P(a0)|=396 homs_L_with_C=c0=0 C-solutions=0 C+D=0 C+E=0 C+F=0 all_four=0 time=0.2s
q=401 p=401 order=32240400 involutions=80601 ord3=160400 |A(c0)|=800 |P(a0)|=402 homs_L_with_C=c0=1600 C-solutions=1600 C+D=0 C+E=0 C+F=1600 all_four=0 time=0.4s
q=409 p=409 order=34208760 involutions=83845 ord3=167690 |A(c0)|=816 |P(a0)|=408 homs_L_with_C=c0=1632 C-solutions=1632 C+D=0 C+E=0 C+F=1632 all_four=0 time=0.4s
q=419 p=419 order=36779820 involutions=87571 ord3=175142 |A(c0)|=840 |P(a0)|=420 homs_L_with_C=c0=0 C-solutions=0 C+D=0 C+E=0 C+F=0 all_four=0 time=0.3s
q=421 p=421 order=37309020 involutions=88831 ord3=177662 |A(c0)|=840 |P(a0)|=420 homs_L_with_C=c0=0 C-solutions=0 C+D=0 C+E=0 C+F=0 all_four=0 time=0.3s
q=431 p=431 order=40031280 involutions=92665 ord3=185330 |A(c0)|=864 |P(a0)|=432 homs_L_with_C=c0=1728 C-solutions=1728 C+D=0 C+E=0 C+F=1728 all_four=0 time=0.5s
q=433 p=433 order=40591152 involutions=93961 ord3=187922 |A(c0)|=864 |P(a0)|=432 homs_L_with_C=c0=1728 C-solutions=1728 C+D=0 C+E=0 C+F=1728 all_four=0 time=0.5s
q=439 p=439 order=42302040 involutions=96141 ord3=193160 |A(c0)|=880 |P(a0)|=438 homs_L_with_C=c0=1760 C-solutions=1760 C+D=0 C+E=0 C+F=1760 all_four=0 time=0.5s
q=443 p=443 order=43468932 involutions=97903 ord3=195806 |A(c0)|=888 |P(a0)|=444 homs_L_with_C=c0=0 C-solutions=0 C+D=0 C+E=0 C+F=0 all_four=0 time=0.3s
q=449 p=449 order=45259200 involutions=101025 ord3=201152 |A(c0)|=896 |P(a0)|=450 homs_L_with_C=c0=1792 C-solutions=1792 C+D=0 C+E=0 C+F=1792 all_four=0 time=0.6s
q=457 p=457 order=47721768 involutions=104653 ord3=209306 |A(c0)|=912 |P(a0)|=456 homs_L_with_C=c0=1824 C-solutions=1824 C+D=0 C+E=0 C+F=1824 all_four=0 time=0.6s
q=461 p=461 order=48985860 involutions=106491 ord3=212060 |A(c0)|=920 |P(a0)|=462 homs_L_with_C=c0=0 C-solutions=0 C+D=0 C+E=0 C+F=0 all_four=0 time=0.3s
q=463 p=463 order=49626192 involutions=106953 ord3=214832 |A(c0)|=928 |P(a0)|=462 homs_L_with_C=c0=1856 C-solutions=1856 C+D=0 C+E=0 C+F=1856 all_four=0 time=0.6s
q=467 p=467 order=50923548 involutions=108811 ord3=217622 |A(c0)|=936 |P(a0)|=468 homs_L_with_C=c0=0 C-solutions=0 C+D=0 C+E=0 C+F=0 all_four=0 time=0.3s
q=479 p=479 order=54950880 involutions=114481 ord3=228962 |A(c0)|=960 |P(a0)|=480 homs_L_with_C=c0=1920 C-solutions=1920 C+D=0 C+E=0 C+F=1920 all_four=0 time=0.7s
q=487 p=487 order=57750408 involutions=118341 ord3=237656 |A(c0)|=976 |P(a0)|=486 homs_L_with_C=c0=1952 C-solutions=1952 C+D=0 C+E=0 C+F=1952 all_four=0 time=0.7s
q=491 p=491 order=59185140 involutions=120295 ord3=240590 |A(c0)|=984 |P(a0)|=492 homs_L_with_C=c0=0 C-solutions=0 C+D=0 C+E=0 C+F=0 all_four=0 time=0.4s
q=499 p=499 order=62125500 involutions=124251 ord3=249500 |A(c0)|=1000 |P(a0)|=498 homs_L_with_C=c0=0 C-solutions=0 C+D=0 C+E=0 C+F=0 all_four=0 time=0.4s
q=503 p=503 order=63631512 involutions=126253 ord3=252506 |A(c0)|=1008 |P(a0)|=504 homs_L_with_C=c0=2016 C-solutions=2016 C+D=0 C+E=0 C+F=2016 all_four=0 time=0.7s
q=509 p=509 order=65935860 involutions=129795 ord3=258572 |A(c0)|=1016 |P(a0)|=510 homs_L_with_C=c0=0 C-solutions=0 C+D=0 C+E=0 C+F=0 all_four=0 time=0.4s
q=512 p=2 order=134217216 involutions=262143 ord3=261632 |A(c0)|=0 |P(a0)|=0 homs_L_with_C=c0=0 C-solutions=0 C+D=0 C+E=0 C+F=0 all_four=0 time=0.4s
q=521 p=521 order=70710120 involutions=135981 ord3=270920 |A(c0)|=1040 |P(a0)|=522 homs_L_with_C=c0=2080 C-solutions=2080 C+D=0 C+E=0 C+F=2080 all_four=0 time=0.8s
q=523 p=523 order=71527572 involutions=136503 ord3=274052 |A(c0)|=1048 |P(a0)|=522 homs_L_with_C=c0=0 C-solutions=0 C+D=0 C+E=0 C+F=0 all_four=0 time=0.4s
q=529 p=23 order=74017680 involutions=140185 ord3=280370 |A(c0)|=1056 |P(a0)|=528 homs_L_with_C=c0=2112 C-solutions=2112 C+D=0 C+E=0 C+F=2112 all_four=0 time=0.8s
q=541 p=541 order=79169940 involutions=146611 ord3=293222 |A(c0)|=1080 |P(a0)|=540 homs_L_with_C=c0=0 C-solutions=0 C+D=0 C+E=0 C+F=0 all_four=0 time=0.5s
q=547 p=547 order=81833388 involutions=149331 ord3=299756 |A(c0)|=1096 |P(a0)|=546 homs_L_with_C=c0=0 C-solutions=0 C+D=0 C+E=0 C+F=0 all_four=0 time=0.6s
q=557 p=557 order=86404068 involutions=155403 ord3=309692 |A(c0)|=1112 |P(a0)|=558 homs_L_with_C=c0=0 C-solutions=0 C+D=0 C+E=0 C+F=0 all_four=0 time=0.6s
q=563 p=563 order=89226492 involutions=158203 ord3=316406 |A(c0)|=1128 |P(a0)|=564 homs_L_with_C=c0=0 C-solutions=0 C+D=0 C+E=0 C+F=0 all_four=0 time=0.5s
q=569 p=569 order=92109720 involutions=162165 ord3=323192 |A(c0)|=1136 |P(a0)|=570 homs_L_with_C=c0=2272 C-solutions=2272 C+D=0 C+E=0 C+F=2272 all_four=0 time=1.0s
q=571 p=571 order=93084420 involutions=162735 ord3=326612 |A(c0)|=1144 |P(a0)|=570 homs_L_with_C=c0=0 C-solutions=0 C+D=0 C+E=0 C+F=0 all_four=0 time=0.6s
q=577 p=577 order=96049728 involutions=166753 ord3=333506 |A(c0)|=1152 |P(a0)|=576 homs_L_with_C=c0=2304 C-solutions=2304 C+D=0 C+E=0 C+F=2304 all_four=0 time=1.1s
# SUMMARY: q-list [4, 5, 7, 8, 9, 11, 13, 16, 17, 19, 23, 25, 27, 29, 31, 32, 37, 41, 43, 47, 49, 53, 59, 61, 64, 67, 71, 73, 79, 81, 83, 89, 97, 101, 103, 107, 109, 113, 121, 125, 127, 128, 131, 137, 139, 149, 151, 157, 163, 167, 169, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 243, 251, 256, 257, 263, 269, 271, 277, 281, 283, 289, 293, 307, 311, 313, 317, 331, 337, 343, 347, 349, 353, 359, 361, 367, 373, 379, 383, 389, 397, 401, 409, 419, 421, 431, 433, 439, 443, 449, 457, 461, 463, 467, 479, 487, 491, 499, 503, 509, 512, 521, 523, 529, 541, 547, 557, 563, 569, 571, 577] ; total C+D (homs J -> PSL_2(q) with A non-trivial) = 0
