Primitive Roots in Cubic Extensions of Finite Fields: Sieving Results for Prime Power Values q Such That q^3 - 1 Has At Most 17 Prime Factors

The goal is to determine whether, for a given prime power value q and any element C of degree 3 over GF(q), there exists an element b in GF(q) such that C + b generates the multiplicative group of GF(q^3), that is C + b is a primitive element of the cubic extension (this is a harder version of the general problem, which is to guarantee the existence of primitive elements of the form aC + b for a a nonzero element of the ground field GF(q)). The method by which one guarantees this is as follows. For a given prime power value q and positive integer n, the number of elements y of degree n over GF(q) that are no kind of eth power, that is if y = x^k for some divisor k of e then k = 1, is given by N = N(e). Thus the number of primitive elements of degree n over GF(q) is given by N(q^n - 1)  (q^n - 1 is the order of GF(q^n)'s multiplicative group). N(e) is bounded from below as follows:

N(e) >= (phi(e)/e)[q - (n - 1)sqrt(q)(2^{omega(e)}-1)].

Here phi denotes the Euler-phi function, sqrt denotes the square root function, and omega denotes the prime divisors function, that is omega(e) denotes the number of prime divisors of e.

A sieving method due to Stephen Cohen of the University of Glasgow allows us to write

N(q^n - 1) >= N(e) + N(f) - N(1)

where e and f are coprime divisors of q^n - 1 whose product is q^n - 1. If the right-hand side of this inequality is positive, then for the given q we conclude that for all elements C of degree n over GF(q) there exists an element b in GF(q) such that C + b is a primitive element of GF(q^n).

For us, n = 3, and the sieving inequality to satisfy, as shown in the paper "Primitive roots in cubic extensions of finite fields" (in preparation), is

q > (2R / S)^2 (**)

where R = (phi(e)/e)(2^{omega(e)}-1) + (phi(f)/f)(2^{omega(f)}-1) and S = (phi(e)/e) + (phi(f)/f) - 1.

In the paper, we use sieving techniques to show that N = N(q^3 - 1) > 0 whenever omega(q^3 - 1) >= 25, regardless of q's value. In the data below we list those q with 1 <= omega(q^3 - 1) <= 17 (computational limitations do not permit us at this time to consider those q with 18 <= omega(q^3 - 1) <= 24) which are not automatically guaranteed to satisfy the primitive sum criterion (such values will henceforth be referred to as possible exceptions, or PEs). We determine for each such q whether (**) is satisfied. If said inequality is satisfied, we write "PASS" and give the e and f  which satisfy (**). 

(Note [04 Apr 02]: I have now -- and it's long overdue! -- begun the process of making this page more user-friendly, i.e., revamp it so that it takes up far less memory. The process will take some time, but will be well worth it in the end. Thanks for your patience.)

(Note [13 Aug 02]: In the paper, the value q=32 was inadvertently left off in the list of possible exceptions for the aC+b problem. This value is not a genuine exception, as both the sieve and a computer check show. I apologize for the oversight.)

omega(q^3 -1) = 1

omega(q^3 -1) = 2

omega(q^3 -1) = 3

omega(q^3 -1) = 4

omega(q^3 -1) = 5

omega(q^3 -1) = 6

omega(q^3 -1) = 7

omega(q^3 -1) = 8

omega(q^3 -1) = 9

omega(q^3 -1) = 10

omega(q^3 -1) = 11

omega(q^3 -1) = 12

omega(q^3 -1) = 13

omega(q^3 - 1) = 14

omega(q^3 - 1) = 15

omega(q^3 - 1) = 16

omega(q^3 - 1) = 17

 

omega(q^3 -1) = 1

(1 PE): q = 2

omega(q^3 - 1) = 2

(5 PEs): q = 3, 4, 5, 8, 17

omega(q^3 - 1) = 3

(15 PEs, 3 which pass):

q=7, 9, 13, 19, 27, 32, 41, 59, 73, 89, 97, 101, 128 (PASS: e=49, f=42799), 167 (PASS: e=166, f=28057), 173 (PASS: e=172, f=30103)

omega(q^3 - 1) = 4

(64 PEs, 29 which pass):

q=11, 16, 23, 25, 29, 31, 37, 43, 47, 49, 53, 64, 71, 83, 103, 109, 113, 125, 127, 131, 157, 179, 193, 197, 199, 223, 227, 233, 241, 243, 251, 271, 313, 317, 353 (PASS: e=6688, f=6577), 389 (PASS: e=2716, f=21673), 401 (PASS: e=2800, f=23029), 409, 433 (PASS: e=47952, f=1693), 449 (PASS: e=448, f=202051), 467 (PASS: e=38, f=2680199), 479 (PASS: e=86, f=1277933), 487 (PASS: e=10206, f=11317), 503 (PASS: e=26, f=4894751), 509 (PASS: e=172, f=766699), 557 (PASS: e=196, f=881677), 563 (PASS: e=62, f=2878283), 569 (PASS: e=392, f=469949), 577 (PASS: e=64, f=3001563), 587 (PASS: e=586, f=345157), 593 (PASS: e=592, f=352243), 641 (PASS: e=4480, f=58789), 673 (PASS: e=2016, f=151201), 701 (PASS: e=700, f=492103), 719 (PASS: e=718, f=517681), 727 (PASS: e=2178, f=176419), 743 (PASS: e=14, f=29298029), 761 (PASS: e=40, f=11017777), 769 (PASS: e=2304, f=197377), 797 (PASS: e=628, f=806149), 827 (PASS: e=14, f=40400663), 863 (PASS: e=42238, f=15217), 883 (PASS: e=2646, f=260191), 887 (PASS: e=26, f=26840927)

omega(q^3 - 1) = 5

(195 PEs, 121 which pass):

q=61, 67, 79, 81, 107, 137, 139, 149, 151, 163, 169, 181, 229, 239, 263, 269, 281, 283, 289, 307, 311, 337, 343, 347, 349, 359, 361, 367, 379, 397, 419, 421, 439, 443, 457, 461, 491, 499, 521, 523, 541, 599, 601, 607, 613, 617, 619, 643, 647, 653, 659, 661, 683, 709, 733, 739, 751, 757, 787, 829, 853, 859, 881, 907, 911, 941 (PASS: e=940, f=886423), 953 (PASS: e=952, f=909163), 1009, 1013 (PASS: e=1012, f=1027183), 1021, 1049 (PASS: e=13624, f=84727), 1051, 1061, 1093, 1109 (PASS: e=5092, f=267859), 1117, 1151 (PASS: e=18050, f=84479), 1153, 1201, 1213, 1223 (PASS: e=494, f=3702989), 1237 (PASS: e=3708, f=510469), 1249 (PASS: e=3744, f=520417), 1259 (PASS: e=1258, f=1586341), 1277 (PASS: e=572, f=3640631), 1279 (PASS: e=3834, f=545707), 1289 (PASS: e=1288, f=1662811), 1301 (PASS: e=1300, f=1693903), 1331 (PASS: e=70, f=33684967), 1361 (PASS: e=1040, f=2424047), 1367 (PASS: e=6482, f=394091), 1399 (PASS: e=3258, f=840431), 1423 (PASS: e=378, f=7622947), 1439 (PASS: e=1274, f=2338907), 1459 (PASS: e=56862, f=54619), 1481 (PASS: e=280, f=11601313), 1483 (PASS: e=4446, f=733591), 1489 (PASS: e=2736, f=1206613), 1499 (PASS: e=1498, f=2248501), 1549 (PASS: e=5292, f=702319), 1567 (PASS: e=4698, f=819019), 1579 (PASS: e=126, f=31244663), 1601 (PASS: e=59200, f=69319)

q=1613 (PASS: e=52, f=80704873), 1627 (PASS: e=774, f=5564443), 1637 (PASS: e=124, f=35377273), 1667 (PASS: e=16562, f=279701), 1723 (PASS: e=126, f=40596191), 1747 (PASS: e=378, f=14105449), 1777 (PASS: e=1872, f=2997481), 1783 (PASS: e=5346, f=1060291), 1787 (PASS: e=266, f=21453197), 1801 (PASS: e=37800, f=154543), 1861 (PASS: e=180, f=35806891), 1867 (PASS: e=5598, f=1162519), 1877 (PASS: e=28, f=236175469), 1907 (PASS: e=26, f=266734217), 2017 (PASS: e=6048, f=1356769), 2027 (PASS: e=98, f=84983609), 2039 (PASS: e=686, f=12357413), 2063 (PASS: e=26, f=337694771), 2069 (PASS: e=308, f=28756151), 2087 (PASS: e=14, f=649290893), 2089 (PASS: e=2808, f=3246521), 2111 (PASS: e=70, f=134389909), 2137 (PASS: e=3528, f=2766209), 2141 (PASS: e=260, f=37746497), 2153 (PASS: e=56, f=178214921), 2161 (PASS: e=84240, f=119797), 2179 (PASS: e=45738, f=226201), 2207 (PASS: e=14, f=767854553), 2213 (PASS: e=28, f=387067057), 2239 (PASS: e=234, f=47967427), 2251 (PASS: e=47250, f=241393), 2269 (PASS: e=6804, f=1716877), 2287 (PASS: e=1026, f=11658727), 2333 (PASS: e=196, f=64787041), 2351 (PASS: e=50, f=259888991), 2357 (PASS: e=76, f=172292017), 2377 (PASS: e=4536, f=2960837), 2383 (PASS: e=2718, f=4978777), 2399 (PASS: e=22, f=627578509), 2417 (PASS: e=112, f=126070051)

q=2423 (PASS: e=14, f=1016090069), 2437 (PASS: e=252, f=57433601), 2441 (PASS: e=40, f=363616303), 2447 (PASS: e=14, f=1046583473), 2459 (PASS: e=14, f=1062056327), 2467 (PASS: e=54, f=278044103), 2549 (PASS: e=196, f=84499363), 2617 (PASS: e=72, f=248930821), 2621 (PASS: e=20, f=900266453), 2633 (PASS: e=56, f=325960181), 2647 (PASS: e=7938, f=2336419), 2659 (PASS: e=18, f=1044437621), 2687 (PASS: e=26, f=746156027), 2689 (PASS: e=8064, f=2411137), 2749 (PASS: e=36, f=577060993), 2753 (PASS: e=448, f=46573687), 2767 (PASS: e=126, f=168134537), 2797 (PASS: e=252, f=86831411), 2879 (PASS: e=14, f=1704499817), 2999 (PASS: e=26, f=1037423423), 3011 (PASS: e=70, f=389972719), 3049 (PASS: e=504, f=56239537), 3083 (PASS: e=46, f=637034191), 3119 (PASS: e=14, f=2167295297), 3121 (PASS: e=720, f=42222973), 3217 (PASS: e=1008, f=33028789), 3221 (PASS: e=140, f=238695449), 3299 (PASS: e=14, f=2564595707), 3323 (PASS: e=22, f=1667893603), 3343 (PASS: e=126, f=296509481), 3371 (PASS: e=10, f=3830683381), 3391 (PASS: e=90, f=433252283), 3463 (PASS: e=18, f=2307198547), 3517 (PASS: e=36, f=1208410817), 3529 (PASS: e=10584, f=4152457), 3559 (PASS: e=18, f=2504444771), 3583 (PASS: e=54, f=851817709), 3613 (PASS: e=252, f=187155823)

q=3617 (PASS: e=416, f=113750207), 3637 (PASS: e=756, f=63636767), 3643 (PASS: e=18, f=2685993817), 3659 (PASS: e=38, f=1289150531), 3719 (PASS: e=14, f=3674095997), 3727 (PASS: e=6318, f=8194049), 3733 (PASS: e=252, f=206430293), 3767 (PASS: e=14, f=3818201333), 3779 (PASS: e=26, f=2075665313), 3793 (PASS: e=144, f=378953599), 3797 (PASS: e=52, f=1052733511), 3821 (PASS: e=20, f=2789337833), 3823 (PASS: e=882, f=63349663), 3833 (PASS: e=56, f=1005607331)

omega(q^3 -1) = 6

(536 PEs, 439 which pass):

q = 121, 191, 256, 277, 331, 373, 431, 463, 529, 547, 625, 631, 691, 729, 809, 811, 821, 823, 877, 947, 961, 967, 971, 997, 1024, 1031, 1033, 1069, 1087, 1103, 1123, 1129, 1171, 1283, 1291, 1321, 1429, 1453, 1471, 1493, 1531, 1543, 1571, 1607, 1621, 1663, 1681, 1693, 1699, 1721, 1741, 1759, 1789, 1823, 1873, 1901, 1913, 1933, 1951, 1979, 1987, 1999, 2003, 2053, 2081, 2083, 2113, 2131, 2143, 2221, 2237, 2243 (PASS: e=2242, f=5033293), 2267 (PASS: e=814, f=14312983), 2281, 2293, 2297 (PASS: e=29848, f=406039), 2341, 2371, 2381, 2389, 2393 (PASS: e=2392, f=5728843), 2503, 2521, 2543 (PASS: e=17794, f=924199), 2609 (PASS: e=6448, f=2754211), 2683, 2699 (PASS: e=266, f=73914053), 2707, 2711 (PASS: e=2590, f=7692877), 2713, 2741 (PASS: e=11060, f=1861967), 2791,  2801 (PASS: e=103600, f=212119), 2809, 2837 (PASS: e=364, f=62730193), 2843 (PASS: e=36946, f=621961), 2861, 2887, 2927 (PASS: e=2926, f=8570257), 2939 (PASS: e=806, f=31496603), 3001, 3019 (PASS: e=149058, f=184601), 3037 (PASS: e=9108, f=3075469), 3061, 3067 (PASS: e=9198, f=3136519), 3089 (PASS: e=2128, f=13851031), 3109 (PASS: e=9324, f=3222997), 3125 (PASS: e=1364, f=22373591), 3163 (PASS: e=9486, f=3335911), 3181, 3187 (PASS: e=35154, f=920813), 3191 (PASS: e=3190, f=10185673), 3203 (PASS: e=1862, f=17647823)

q = 3253 (PASS: e=31356, f=1097821), 3257 (PASS: e=616, f=56088337), 3259 (PASS: e=4914, f=7043977), 3271, 3301, 3307 (PASS: e=9918, f=3646519), 3313, 3319 (PASS: e=172494, f=211957), 3331, 3347 (PASS: e=602, f=62283161), 3359 (PASS: e=3358, f=11286241), 3361 (PASS: e=10080, f=3766561), 3373 (PASS: e=88164, f=435269), 3433 (PASS: e=10296, f=3929641), 3461 (PASS: e=260, f=159452543), 3467 (PASS: e=182, f=228976091), 3469, 3499 (PASS: e=10494, f=4082167), 3511, 3527 (PASS: e=3526, f=12443257), 3581 (PASS: e=140, f=328008371), 3607 (PASS: e=196686, f=238597), 3623 (PASS: e=182, f=261296513), 3631 (PASS: e=10890, f=4395931), 3673 (PASS: e=407592, f=121573), 3697, 3701 (PASS: e=1300, f=38995447), 3739 (PASS: e=11214, f=4661287), 3761 (PASS: e=560, f=94999643), 3769 (PASS: e=1368, f=39137431), 3847 (PASS: e=9954, f=5719643), 3851, 4003 (PASS: e=12006, f=5342671), 4013 (PASS: e=364, f=177544039), 4057 (PASS: e=85176, f=783967), 4073 (PASS: e=9272, f=7287353), 4091 (PASS: e=130, f=526677889), 4093 (PASS: e=12276, f=5585581), 4153 (PASS: e=9576, f=7480001), 4159 (PASS: e=12474, f=5767147), 4211 (PASS: e=70, f=1066737799), 4219 (PASS: e=342, f=219584899), 4231 (PASS: e=12690, f=5968531), 4241 (PASS: e=1040, f=73345163)

q = 4327 (PASS: e=126, f=642969157), 4339 (PASS: e=1026, f=79619893), 4421 (PASS: e=1820, f=47477753), 4481 (PASS: e=58240, f=1544911), 4591 (PASS: e=13770, f=7027291), 4603 (PASS: e=1638, f=59540027), 4723 (PASS: e=342, f=308054623), 4729 (PASS: e=504, f=209834747), 4783 (PASS: e=6174, f=17722889), 4813 (PASS: e=3276, f=34033271), 4861 (PASS: e=451980, f=254131), 4871 (PASS: e=130, f=889018987), 4931 (PASS: e=170, f=705271097), 4933 (PASS: e=13716, f=8751971), 4943 (PASS: e=182, f=663590933),  4969 (PASS: e=8424, f=14564267), 5011 (PASS: e=90, f=1398075737), 5023 (PASS: e=64638, f=1960657), 5041 (PASS: e=15120, f=8472241), 5051 (PASS: e=350, f=368183279), 5077 (PASS: e=15876, f=8242907), 5099 (PASS: e=494, f=268366367), 5107 (PASS: e=2898, f=45962029), 5153 (PASS: e=5152, f=26558563), 5227 (PASS: e=234, f=610297573), 5233 (PASS: e=1008, f=142164667), 5237 (PASS: e=308, f=466333919), 5261 (PASS: e=980, f=148586321), 5279 (PASS: e=182, f=808320509), 5281 (PASS: e=205920, f=715237), 5329 (PASS: e=3024, f=50044387), 5381 (PASS: e=860, f=181171769), 5407 (PASS: e=306, f=516592007), 5413 (PASS: e=2772, f=57216443), 5431 (PASS: e=90, f=1779905311), 5437 (PASS: e=1404, f=114475063), 5443 (PASS: e=1638, f=98446687)

q = 5471 (PASS: e=70, f=2339387173), 5483 (PASS: e=5054, f=32615159), 5503 (PASS: e=126, f=1322598401), 5527 (PASS: e=378, f=446659519), 5531 (PASS: e=70, f=2417201947), 5591 (PASS: e=130, f=1344389539), 5639 (PASS: e=602, f=297858359), 5651 (PASS: e=350, f=515594027), 5669 (PASS: e=988, f=184400641), 5741 (PASS: e=140, f=1351557743), 5779 (PASS: e=1134, f=170194307), 5801 (PASS: e=2600, f=75081899), 5807 (PASS: e=182, f=1075930181), 5827 (PASS: e=234, f=845510873), 5861 (PASS: e=980, f=205441931), 5869 (PASS: e=6588, f=30685891), 5881 (PASS: e=17640, f=11530681), 5897 (PASS: e=1672, f=122647051), 5903 (PASS: e=182, f=1130178293), 5981 (PASS: e=260, f=822901889), 5987 (PASS: e=574, f=373865923), 6043 (PASS: e=2394, f=92179349), 6101 (PASS: e=700, f=324418069), 6113 (PASS: e=2912, f=78446183), 6143 (PASS: e=3038, f=76305137), 6151 (PASS: e=450, f=517159691), 6211 (PASS: e=5670, f=42257279), 6277 (PASS: e=684, f=361576573), 6301 (PASS: e=245700, f=1018177), 6323 (PASS: e=406, f=622649311), 6329 (PASS: e=1736, f=146034533), 6337 (PASS: e=133056, f=1912567), 6343 (PASS: e=126, f=2025412981), 6367 (PASS: e=126, f=2048490737), 6379 (PASS: e=1638, f=158468851), 6449 (PASS: e=10192, f=26315869), 6469 (PASS: e=19404, f=13951477)

q = 6529 (PASS: e=14976, f=18584213), 6547 (PASS: e=882, f=318169421), 6553 (PASS: e=19656, f=14316121), 6563 (PASS: e=238, f=1187764267), 6571 (PASS: e=270, f=1050825583), 6577 (PASS: e=1008, f=282242879), 6607 (PASS: e=702, f=410842921), 6619 (PASS: e=126, f=2301476783), 6637 (PASS: e=252, f=1160152051), 6673 (PASS: e=1008, f=294783277), 6689 (PASS: e=2464, f=121462687), 6703 (PASS: e=126, f=2390215801), 6709 (PASS: e=468, f=645249271), 6737 (PASS: e=2704, f=113081863), 6781 (PASS: e=180, f=1732242653), 6803 (PASS: e=38, f=8285482727), 6829 (PASS: e=1764, f=180539717), 6863 (PASS: e=94, f=3438857209), 6883 (PASS: e=126, f=2587991011), 6899 (PASS: e=182, f=1804209839), 6907 (PASS: e=558, f=590519399), 6911 (PASS: e=70, f=4715466229), 6967 (PASS: e=3402, f=99403831), 7019 (PASS: e=242, f=1428928049), 7069 (PASS: e=684, f=516437587), 7121 (PASS: e=560, f=644814701), 7159 (PASS: e=234, f=1567982567), 7219 (PASS: e=378, f=995266361), 7283 (PASS: e=22, f=17559342463), 7309 (PASS: e=9828, f=39729101), 7321 (PASS: e=360, f=1089955381), 7351 (PASS: e=22050, f=18014851), 7411 (PASS: e=1170, f=347892109), 7417 (PASS: e=10584, f=38550943), 7481 (PASS: e=440, f=951538331), 7499 (PASS: e=14, f=30121876607), 7537 (PASS: e=5328, f=80358409)

q = 7549 (PASS: e=468, f=919226261), 7561 (PASS: e=22680, f=19058761), 7583 (PASS: e=14, f=31145487449), 7591 (PASS: e=990, f=441836693), 7669 (PASS: e=2268, f=198871781), 7673 (PASS: e=728, f=620532047), 7699 (PASS: e=234, f=1950235697), 7723 (PASS: e=87318, f=5275387), 7741 (PASS: e=540, f=859008463), 7753 (PASS: e=8568, f=54391357), 7759 (PASS: e=1026, f=455270903), 7789 (PASS: e=396, f=1193300783), 7867 (PASS: e=1026, f=474547937), 7877 (PASS: e=308, f=1586835179), 7933 (PASS: e=252, f=1981124743), 8009 (PASS: e=616, f=833977183), 8011 (PASS: e=3510, f=146471483), 8017 (PASS: e=7056, f=73025927), 8059 (PASS: e=126, f=4154061503), 8089 (PASS: e=504, f=1050156367), 8111 (PASS: e=10, f=53360907163), 8147 (PASS: e=26, f=20797915097), 8167 (PASS: e=234, f=2327940143), 8191 (PASS: e=1890, f=290769583), 8209 (PASS: e=24624, f=22465297), 8221 (PASS: e=180, f=3086749877), 8269 (PASS: e=252, f=2243667179), 8291 (PASS: e=10, f=56992898617), 8311 (PASS: e=4410, f=130173103), 8389 (PASS: e=11124, f=53072507), 8419 (PASS: e=414, f=1441388947), 8429 (PASS: e=196, f=3055428253), 8431 (PASS: e=90, f=6658781411), 8443 (PASS: e=378, f=1592203477), 8461 (PASS: e=540, f=1121686067), 8467 (PASS: e=126, f=4817460187)

q = 8537 (PASS: e=616, f=1010031997), 8663 (PASS: e=14, f=46438363589), 8719 (PASS: e=126, f=5260529833), 8731 (PASS: e=1890, f=352152001), 8761 (PASS: e=2520, f=266845879), 8821 (PASS: e=26460, f=25939621), 8831 (PASS: e=70, f=9838561717), 8861 (PASS: e=20, f=34787099069), 8863 (PASS: e=126, f=5525501521), 8867 (PASS: e=22, f=31688920471), 8933 (PASS: e=308, f=2314415267), 8951 (PASS: e=50, f=14343154187), 8999 (PASS: e=154, f=4732188487), 9001 (PASS: e=27000, f=27009001), 9013 (PASS: e=252, f=2905410973), 9041 (PASS: e=560, f=1319657957), 9043 (PASS: e=198, f=3734843447), 9067 (PASS: e=126, f=5915892887), 9151 (PASS: e=3150, f=243273673), 9187 (PASS: e=234, f=3313639753), 9221 (PASS: e=140, f=5600232149), 9227 (PASS: e=14, f=56111712863), 9239 (PASS: e=26, f=30332035343), 9277 (PASS: e=252, f=3168269591), 9281 (PASS: e=320, f=2498241047), 9311 (PASS: e=490, f=1647376627), 9319 (PASS: e=126, f=6422992133), 9337 (PASS: e=936, f=869653457), 9391 (PASS: e=630, f=1314604069), 9403 (PASS: e=126, f=6598249951), 9409 (PASS: e=28224, f=29512897), 9463 (PASS: e=342, f=2477766713), 9473 (PASS: e=23296, f=36490621), 9551 (PASS: e=50, f=17425150223), 9601 (PASS: e=201600, f=4389943), 9629 (PASS: e=28, f=31884934471)

q = 9631 (PASS: e=270, f=3308646617), 9649 (PASS: e=5616, f=159963103), 9677 (PASS: e=124, f=7308033643), 9721 (PASS: e=29160, f=31502521), 9767 (PASS: e=14, f=66551144333), 9769 (PASS: e=3528, f=264254111), 9781 (PASS: e=8820, f=106091647), 9787 (PASS: e=126, f=7440090527), 9791 (PASS: e=10, f=93860130067), 9829 (PASS: e=2268, f=418682641), 9857 (PASS: e=9856, f=97170307), 9901 (PASS: e=2700, f=359478911), 9907 (PASS: e=126, f=7717132267), 9931 (PASS: e=90, f=10882694461), 9949 (PASS: e=252, f=3907848799), 10009 (PASS: e=15768, f=63590971), 10037 (PASS: e=52, f=19445021551), 10139 (PASS: e=74, f=14084896157), 10141 (PASS: e=180, f=5793884629), 10159 (PASS: e=126, f=8321130553), 10169 (PASS: e=104, f=10111169777), 10193 (PASS: e=784, f=1350796759), 10211 (PASS: e=10, f=106464502393), 10253 (PASS: e=44, f=24496283279), 10259 (PASS: e=98, f=11017651061), 10273 (PASS: e=2016, f=537775901), 10301 (PASS: e=700, f=1561493287), 10303 (PASS: e=306, f=3574124471), 10313 (PASS: e=56, f=19586959541), 10333 (PASS: e=756, f=1459343381), 10343 (PASS: e=14, f=79033558829), 10427 (PASS: e=14, f=80974837463), 10429 (PASS: e=396, f=2864394403), 10453 (PASS: e=252, f=4532338213), 10499 (PASS: e=38, f=30455112671), 10531 (PASS: e=2430, f=480620803)

q = 10567 (PASS: e=378, f=3121499879), 10723 (PASS: e=342, f=3605145623), 10753 (PASS: e=32256, f=38545921), 10771 (PASS: e=90, f=13884350489), 10789 (PASS: e=252, f=4983598409), 10831 (PASS: e=630, f=2016810613), 10837 (PASS: e=756, f=1683470167), 10847 (PASS: e=1078, f=1183886749), 10973 (PASS: e=28, f=47186537047), 10979 (PASS: e=22, f=60154161079), 10993 (PASS: e=2736, f=485548471), 11069 (PASS: e=28, f=48435872911), 11071 (PASS: e=5670, f=239319173), 11083 (PASS: e=126, f=10804419911), 11087 (PASS: e=46, f=29626770337), 11093 (PASS: e=188, f=7260878837), 11119 (PASS: e=306, f=4492372543), 11159 (PASS: e=14, f=99253949477), 11161 (PASS: e=1080, f=1287317191), 11197 (PASS: e=756, f=1856877437), 11257 (PASS: e=504, f=2830332523), 11353 (PASS: e=792, f=1847594803), 11369 (PASS: e=392, f=3748700399), 11399 (PASS: e=82, f=18062855539), 11411 (PASS: e=70, f=21226240279), 11471 (PASS: e=10, f=150939824011), 11491 (PASS: e=630, f=2408423879), 11503 (PASS: e=3402, f=447403163), 11551 (PASS: e=3150, f=489269561), 11579 (PASS: e=14, f=110888146967), 11617 (PASS: e=2016, f=777663007), 11657 (PASS: e=56, f=28286053757), 11779 (PASS: e=234, f=6984083257), 11783 (PASS: e=14, f=116852927549), 11821 (PASS: e=180, f=9176776337)

q = 11827 (PASS: e=23814, f=69469063), 11831 (PASS: e=70, f=23657362417), 11839 (PASS: e=882, f=1881379799), 11887 (PASS: e=126, f=13330493977), 11903 (PASS: e=22, f=76656082333), 11909 (PASS: e=28, f=60320905801), 11923 (PASS: e=126, f=13451976091), 11939 (PASS: e=14, f=121555837787), 11969 (PASS: e=704, f=2435571827), 11981 (PASS: e=140, f=12284321351), 12007 (PASS: e=378, f=4579433239), 12037 (PASS: e=252, f=6920767201), 12071 (PASS: e=10, f=175885383391), 12097 (PASS: e=36288, f=48783169), 12109 (PASS: e=36, f=49319916973), 12163 (PASS: e=126, f=14280768371), 12167 (PASS: e=14, f=128653761533), 12239 (PASS: e=58, f=31608931171), 12241 (PASS: e=2160, f=849174497), 12323 (PASS: e=38, f=49245409007), 12329 (PASS: e=2744, f=682966577), 12347 (PASS: e=74, f=25436223053), 12377 (PASS: e=56, f=33857754047), 12379 (PASS: e=234, f=8106638957), 12401 (PASS: e=2800, f=681101899), 12413 (PASS: e=28, f=68308104607), 12437 (PASS: e=52, f=36995044951), 12451 (PASS: e=450, f=4289435933), 12479 (PASS: e=34, f=57155817007), 12503 (PASS: e=14, f=139609399109), 12511 (PASS: e=1890, f=1036130047), 12569 (PASS: e=56, f=35457993143), 12583 (PASS: e=1134, f=1756869629), 12613 (PASS: e=468, f=4287551347)

q = 12637 (PASS: e=20412, f=98865871), 12653 (PASS: e=28, f=72347327467), 12689 (PASS: e=208, f=9822428071), 12703 (PASS: e=6498, f=315456287), 12841 (PASS: e=360, f=5881580387), 12889 (PASS: e=1512, f=1416138989), 12907 (PASS: e=162, f=13272750041), 12959 (PASS: e=14, f=155448463577), 12983 (PASS: e=26, f=84168933311), 13001 (PASS: e=7000, f=313929577), 13121 (PASS: e=320, f=7059124283), 13147 (PASS: e=126, f=18034721647), 13171 (PASS: e=630, f=3626733967), 13183 (PASS: e=126, f=18183279361), 13241 (PASS: e=40, f=58036653913), 13309 (PASS: e=1764, f=1336403777), 13417 (PASS: e=936, f=2580420067), 13441 (PASS: e=40320, f=60224641), 13477 (PASS: e=252, f=9713576041), 13591 (PASS: e=13230, f=189755509), 13619 (PASS: e=14, f=180429532547), 13679 (PASS: e=14, f=182824760417), 13687 (PASS: e=126, f=20349524077), 13757 (PASS: e=28, f=92985061039), 13763 (PASS: e=14, f=186213556139), 13781 (PASS: e=20, f=130861592927), 13789 (PASS: e=1404, f=1867373567), 13807 (PASS: e=702, f=3749392121), 13901 (PASS: e=100, f=26861986717), 13903 (PASS: e=126, f=21328240201), 13921 (PASS: e=1440, f=1873478909), 13997 (PASS: e=28, f=97937013499), 14009 (PASS: e=56, f=49094560763), 14033 (PASS: e=304, f=9090295309)

q = 14051 (PASS: e=50, f=55481947493), 14081 (PASS: e=439040, f=6359111), 14149 (PASS: e=2268, f=1248918761), 14173 (PASS: e=36, f=79082949881), 14243 (PASS: e=146, f=19790263061), 14249 (PASS: e=56, f=51661276433), 14251 (PASS: e=2250, f=1286333269), 14281 (PASS: e=2520, f=1155780377), 14327 (PASS: e=26, f=113107768607), 14341 (PASS: e=180, f=16385730299), 14401 (PASS: e=302400, f=9876343), 14407 (PASS: e=43218, f=69192019), 14551 (PASS: e=450, f=6846458947), 14591 (PASS: e=10, f=310638422707), 14621 (PASS: e=20, f=156279220253), 14639 (PASS: e=14, f=224081599937), 14717 (PASS: e=52, f=61299160381), 14723 (PASS: e=14, f=227961182219), 14731 (PASS: e=90, f=35518464221), 14737 (PASS: e=1008, f=3175168069), 14741 (PASS: e=20, f=160158813551), 14767 (PASS: e=6174, f=521567113), 14771 (PASS: e=70, f=46039611943), 14779 (PASS: e=2646, f=1219959203), 14797 (PASS: e=324, f=9999447653), 14831 (PASS: e=10, f=326220541819), 14843 (PASS: e=62, f=52744037663), 14851 (PASS: e=28350, f=115535123), 14879 (PASS: e=14, f=235284433817), 14891 (PASS: e=10, f=330195834997), 15017 (PASS: e=56, f=60473000177), 15091 (PASS: e=90, f=38186648873), 15199 (PASS: e=126, f=27865991473), 15217 (PASS: e=144, f=24469473773)

q = 15227 (PASS: e=14, f=252182535863), 15233 (PASS: e=896, f=3945011891), 15259 (PASS: e=18, f=197381167721), 15263 (PASS: e=26, f=136755992171), 15269 (PASS: e=196, f=18162503623), 15289 (PASS: e=3528, f=1012998181), 15307 (PASS: e=18, f=199249729969), 15319 (PASS: e=1242, f=2894473999), 15349 (PASS: e=36, f=100447182043), 15391 (PASS: e=2430, f=1500355729), 15443 (PASS: e=14, f=263067367379), 15451 (PASS: e=3150, f=1171006279), 15473 (PASS: e=208, f=17809849177), 15559 (PASS: e=18, f=209253406771), 15583 (PASS: e=882, f=4290270023), 15619 (PASS: e=126, f=30240511283), 15643 (PASS: e=594, f=6444269449), 15667 (PASS: e=126, f=30520172587), 15671 (PASS: e=10, f=384848795671), 15679 (PASS: e=54, f=71377497997), 15749 (PASS: e=124, f=31501937377), 15787 (PASS: e=378, f=10408952509), 15803 (PASS: e=14, f=281897084759)

omega(q^3 -1) = 7

(972 PEs, 877 which pass):

q = 211, 571, 841, 919, 991, 1231, 1303, 1327, 1369, 1381, 1451, 1511, 1597, 1831, 1849, 1871, 2011, 2209, 2311, 2347, 2401, 2473, 2531, 2551, 2557, 2591, 2731, 2851, 2857, 2971, 3229, 3389, 3481, 3539, 3541, 3691, 3877, 3911, 3917, 3931, 4027, 4271, 4423, 4447, 4489, 4523, 4621, 4637 (PASS: e=42484, f=2346853), 4643, 4651, 4657, 4663, 4691, 4799, 4831, 4903, 4909, 5021, 5101, 5171, 5209, 5419, 5441, 5479, 5521, 5581, 5659, 5711 (PASS: e=15010, f=12409543), 5743, 5749, 6007, 6067, 6073, 6133, 6163, 6217, 6241, 6269 (PASS: e=22204, f=11095927),  6271, 6353 (PASS: e=27664, f=9268759), 6421, 6427, 6451, 6491 (PASS: e=770, f=355176401), 6561, 6659 (PASS: e=5642, f=52335209), 6661, 6691, 6701 (PASS: e=21700, f=13866253), 6733, 6841, 6889, 6961, 6971 (PASS: e=2210, f=153282641), 7039, 7177, 7193 (PASS: e=30856, f=12061201), 7211 (PASS: e=910, f=412045423), 7333, 7393, 7459, 7541 (PASS: e=1820, f=235621781), 7621, 7687 (PASS: e=438102, f=1036801), 7907 (PASS: e=329966, f=1498187), 7921, 8101, 8171 (PASS: e=1330, f=410179537), 8219 (PASS: e=3458, f=160558001), 8243 (PASS: e=25298, f=22139597), 8297 (PASS: e=12376, f=46151197), 8329 (PASS: e=17784, f=32489957), 8521 (PASS: e=178920, f=3457903), 8563 (PASS: e=1638, f=383322167), 8581, 8713 (PASS: e=6455592, f=102463)

q = 8747 (PASS: e=8246, f=81158507), 9007 (PASS: e=22914, f=31888903), 9011 (PASS: e=1190, f=614854007), 9091 (PASS: e=9990, f=75208943), 9103 (PASS: e=112554, f=6701819), 9349 (PASS: e=4788, f=170663771), 9419 (PASS: e=238, f=3511053391), 9421 (PASS: e=2340, f=357334669), 9431 (PASS: e=1330, f=630698203), 9461 (PASS: e=1540, f=549908467), 9491 (PASS: e=4030, f=212144059), 9511 (PASS: e=1710, f=503132573), 9661 (PASS: e=28980, f=31114861), 9697 (PASS: e=38304, f=23804993), 9739 (PASS: e=7182, f=128616799), 9851 (PASS: e=27650, f=34573697), 9871 (PASS: e=29610, f=32482171), 9883 (PASS: e=195858, f=4928617), 9929 (PASS: e=2584, f=378812257), 9941 (PASS: e=1820, f=539782541), 9967 (PASS: e=2574, f=384666913), 10039 (PASS: e=591318, f=1711001), 10091 (PASS: e=910, f=1129174927), 10243 (PASS: e=38934, f=27602759), 10267 (PASS: e=9918, f=109120559), 10271 (PASS: e=44590, f=24299689), 10357 (PASS: e=22932, f=48446231), 10399 (PASS: e=5418, f=207556211), 10459 (PASS: e=31374, f=36467047), 10651 (PASS: e=20528550, f=58859), 10663 (PASS: e=11466, f=105736831), 10687 (PASS: e=29718, f=41072189), 10711 (PASS: e=32130, f=38245411), 10739 (PASS: e=182, f=6804874799), 10799 (PASS: e=494, f=2549316017), 10861 (PASS: e=1260, f=1016807863)

q = 10891 (PASS: e=32670, f=39541591), 10903 (PASS: e=1638, f=791268977), 10949 (PASS: e=6188, f=212115821), 10957 (PASS: e=950796, f=1383527), 11059 (PASS: e=4446, f=304213243), 11131 (PASS: e=106470, f=12953147), 11173 (PASS: e=33516, f=41615701), 11287 (PASS: e=23166, f=62070397), 11351 (PASS: e=10850, f=134794643), 11443 (PASS: e=8658, f=173062157), 11527 (PASS: e=3978, f=385020719), 11681 (PASS: e=4960, f=321335269), 11701 (PASS: e=245700, f=6520243), 11731 (PASS: e=1530, f=1055148713), 11813 (PASS: e=364, f=4528759189), 11833 (PASS: e=15912, f=104126153), 11867 (PASS: e=238, f=7021758199), 11971 (PASS: e=35910, f=47772271), 12041 (PASS: e=3640, f=479607853), 12119 (PASS: e=182, f=9779777369), 12211 (PASS: e=990, f=1839155707), 12281 (PASS: e=9880, f=187475383), 12343 (PASS: e=259182, f=7255333), 12391 (PASS: e=630, f=3019802369), 12421 (PASS: e=37260, f=51431221), 12433 (PASS: e=19152, f=100349143), 12457 (PASS: e=19656, f=98343407), 12491 (PASS: e=610, f=3194933257), 12553 (PASS: e=18648, f=106074337), 12611 (PASS: e=6370, f=314853949), 12721 (PASS: e=35280, f=58349237), 12769 (PASS: e=26208, f=79439551), 12791 (PASS: e=70, f=29896163281), 12821 (PASS: e=23660, f=89074001), 12853 (PASS: e=29484, f=72015689)

q = 12893 (PASS: e=836, f=2563631921), 12923 (PASS: e=182, f=11858196563), 13099 (PASS: e=4662, f=482105579), 13159 (PASS: e=155142, f=14687209), 13267 (PASS: e=4158, f=561608539), 13339 (PASS: e=14742, f=160995379), 13381 (PASS: e=1260, f=1901494909), 13399 (PASS: e=18018, f=133509011), 13451 (PASS: e=4550, f=534875027), 13463 (PASS: e=266, f=9173686631), 13567 (PASS: e=2142, f=1165821361), 13633 (PASS: e=52416, f=48340421), 13711 (PASS: e=15210, f=169464283), 13831 (PASS: e=2790, f=948323561), 13841 (PASS: e=7280, f=364226069), 14011 (PASS: e=630, f=4365830291), 14029 (PASS: e=4788, f=576668201), 14071 (PASS: e=11970, f=232745203), 14107 (PASS: e=4662, f=602187491), 14153 (PASS: e=3016, f=939970411), 14197 (PASS: e=42588, f=67189669), 14221 (PASS: e=3780, f=760849237), 14323 (PASS: e=1386, f=2120014081), 14347 (PASS: e=11718, f=252016979), 14411 (PASS: e=110, f=27207564623), 14533 (PASS: e=7812, f=392919503), 14543 (PASS: e=154, f=19972907539), 14561 (PASS: e=14560, f=212037283), 14653 (PASS: e=8316, f=378325111), 14669 (PASS: e=3724, f=847601767), 14699 (PASS: e=806, f=3940291283), 14827 (PASS: e=2394, f=1361556653), 14869 (PASS: e=272916, f=12045263), 14983 (PASS: e=3762, f=894082403)

q = 15061 (PASS: e=8820, f=387340439), 15131 (PASS: e=1190, f=2911092011), 15187 (PASS: e=21294, f=164497283), 15193 (PASS: e=2808, f=1248916807), 15241 (PASS: e=2520, f=1404882001), 15277 (PASS: e=684, f=5212644823), 15313 (PASS: e=11088, f=323837867), 15331 (PASS: e=630, f=5719669063), 15373 (PASS: e=46116, f=78781501), 15467 (PASS: e=154, f=24026888653), 15511 (PASS: e=990, f=3769503917), 15551 (PASS: e=2450, f=1535001767), 15581 (PASS: e=380, f=9954108863), 15601 (PASS: e=46800, f=81135601), 15625 (PASS: e=28728, f=132786733), 15629 (PASS: e=988, f=3863995651), 15649 (PASS: e=437472, f=8760109), 15733 (PASS: e=9828, f=396250187), 15739 (PASS: e=57798, f=67455691), 15817 (PASS: e=6552, f=603946481), 15959 (PASS: e=2666, f=1524603383), 15973 (PASS: e=622908, f=6542377), 16111 (PASS: e=1890, f=2212614167), 16183 (PASS: e=1566, f=2706358621), 16231 (PASS: e=24390, f=175317001), 16253 (PASS: e=884, f=4856778989), 16363 (PASS: e=44226, f=99062921), 16369 (PASS: e=1584, f=2768925487), 16381 (PASS: e=49140, f=89451181), 16433 (PASS: e=10192, f=435402733), 16519 (PASS: e=234, f=19263509087), 16741 (PASS: e=11340, f=413743453), 16787 (PASS: e=154, f=30718397113), 16811 (PASS: e=70, f=67870743139)

q = 16871 (PASS: e=70, f=68600050633), 16883 (PASS: e=494, f=9741412019), 16927 (PASS: e=1638, f=2960915989), 16987 (PASS: e=4446, f=1102505087), 17107 (PASS: e=342, f=14638462351), 17117 (PASS: e=308, f=16282917989), 17137 (PASS: e=39312, f=128020421), 17203 (PASS: e=5922, f=859694533), 17231 (PASS: e=70, f=73085867677), 17257 (PASS: e=504, f=10196834273), 17291 (PASS: e=910, f=5680923487), 17299 (PASS: e=4914, f=1053483757), 17449 (PASS: e=17784, f=298732297), 17551 (PASS: e=368550, f=14669293), 17581 (PASS: e=1260, f=4312808519), 17623 (PASS: e=4158, f=1316300477), 17791 (PASS: e=630, f=8938415309), 17909 (PASS: e=9196, f=624618793), 17923 (PASS: e=6786, f=848434381), 17971 (PASS: e=630, f=9212472047), 17981 (PASS: e=7220, f=805201037), 18047 (PASS: e=182, f=32295623021), 18061 (PASS: e=1260, f=4675788223), 18127 (PASS: e=7182, f=829339601), 18131 (PASS: e=490, f=12163797841), 18181 (PASS: e=3780, f=1589869583), 18191 (PASS: e=170, f=35409582011), 18211 (PASS: e=630, f=9586516711), 18253 (PASS: e=383292, f=15866203), 18307 (PASS: e=309582, f=19818731), 18313 (PASS: e=6552, f=937356073), 18439 (PASS: e=126, f=49755551893), 18481 (PASS: e=55440, f=113855281), 18593 (PASS: e=2912, f=2207278013), 

q = 18679 (PASS: e=198, f=32915137681), 18701 (PASS: e=7700, f=849383393), 18797 (PASS: e=7252, f=915815161), 18973 (PASS: e=34884, f=195786049), 19009 (PASS: e=399168, f=17207671), 19051 (PASS: e=3150, f=2195041711), 19121 (PASS: e=560, f=12483713051), 19139 (PASS: e=182, f=38520005399), 19183 (PASS: e=414, f=17050975849), 19207 (PASS: e=594, f=11928673843), 19267 (PASS: e=3042, f=2351164861), 19429 (PASS: e=4788, f=1531782851), 19471 (PASS: e=48510, f=152171561), 19501 (PASS: e=58500, f=126769501), 19571 (PASS: e=190, f=39453492139), 19609 (PASS: e=9576, f=787376053), 19681 (PASS: e=10080, f=756277103), 19763 (PASS: e=182, f=42411850703), 19777 (PASS: e=28224, f=274070743), 19813 (PASS: e=468, f=16618999147), 19867 (PASS: e=1386, f=5657618317), 20011 (PASS: e=2070, f=3871114619), 20071 (PASS: e=13230, f=611149117), 20113 (PASS: e=19152, f=424831223), 20521 (PASS: e=22680, f=381024157), 20549 (PASS: e=2156, f=4024605533), 20563 (PASS: e=2898, f=3000274877), 20707 (PASS: e=2142, f=4145072051), 20731 (PASS: e=630, f=14142305203), 20959 (PASS: e=1638, f=5620795381), 21001 (PASS: e=63000, f=147021001), 21011 (PASS: e=770, f=12046182629), 21031 (PASS: e=90, f=103356373031), 21139 (PASS: e=234, f=40368020977)

q = 21191 (PASS: e=70, f=135942832441), 21391 (PASS: e=2070, f=4728494821), 21407 (PASS: e=154, f=63701066923), 21529 (PASS: e=137592, f=72523439), 21557 (PASS: e=364, f=27520960153), 21589 (PASS: e=3276, f=3071522393), 21611 (PASS: e=70, f=144187147459), 21739 (PASS: e=1638, f=6271981811), 21863 (PASS: e=238, f=43908874717), 21961 (PASS: e=7560, f=1400988403), 22003 (PASS: e=126, f=84542512651), 22031 (PASS: e=490, f=21822602971), 22129 (PASS: e=91728, f=118136321), 22159 (PASS: e=378, f=28784498851), 22271 (PASS: e=70, f=157805128693), 22279 (PASS: e=342, f=32334114689), 22283 (PASS: e=182, f=60792442523), 22291 (PASS: e=1170, f=9466791101), 22303 (PASS: e=1134, f=9783106889), 22397 (PASS: e=308, f=36476976509), 22447 (PASS: e=702, f=16111567961), 22469 (PASS: e=2356, f=4814774443), 22531 (PASS: e=90, f=127086346081), 22541 (PASS: e=980, f=11686742129), 22549 (PASS: e=252, f=45496848949), 22717 (PASS: e=5292, f=2215302811), 22801 (PASS: e=25200, f=470393317), 22921 (PASS: e=6840, f=1760534669), 22963 (PASS: e=342, f=35404606463), 23003 (PASS: e=434, f=28045533689), 23027 (PASS: e=406, f=30073643647), 23041 (PASS: e=483840, f=25281463), 23059 (PASS: e=1134, f=10812057667)

q = 23071 (PASS: e=1170, f=10495748023), 23227 (PASS: e=11466, f=1092867277), 23251 (PASS: e=15750, f=798076183), 23269 (PASS: e=252, f=49995695929), 23321 (PASS: e=280, f=45298463947), 23371 (PASS: e=1710, f=7465102511), 23531 (PASS: e=70, f=186132886147), 23557 (PASS: e=3276, f=3990396517), 23563 (PASS: e=4158, f=3146351687), 23669 (PASS: e=364, f=36428253097), 23719 (PASS: e=342, f=39017821649), 23747 (PASS: e=26, f=515054171297), 23767 (PASS: e=1638, f=8196136849), 23773 (PASS: e=3276, f=4101172891), 23909 (PASS: e=532, f=25690502779), 23971 (PASS: e=1530, f=9002580737), 23981 (PASS: e=220, f=62687245387), 24019 (PASS: e=126, f=109975063483), 24103 (PASS: e=4914, f=2849562259), 24179 (PASS: e=154, f=91789770697), 24251 (PASS: e=4750, f=3002585239), 24371 (PASS: e=3430, f=4220130967), 24421 (PASS: e=1980, f=7355719177), 24593 (PASS: e=2128, f=6989770327), 24649 (PASS: e=6552, f=2285725249), 24683 (PASS: e=182, f=82627086923), 24691 (PASS: e=630, f=23893264399), 24763 (PASS: e=882, f=17216354153), 24781 (PASS: e=1260, f=12077747279), 24821 (PASS: e=340, f=44975800999), 24847 (PASS: e=126, f=121745056297), 25171 (PASS: e=1170, f=13630618013), 25309 (PASS: e=756, f=21443869813)

q = 25321 (PASS: e=2520, f=6442315933), 25391 (PASS: e=70, f=233852155021), 25463 (PASS: e=182, f=90710450153), 25603 (PASS: e=126, f=133199324851), 25873 (PASS: e=77616, f=223146001), 25939 (PASS: e=29106, f=599621453), 25951 (PASS: e=22050, f=792599327), 25999 (PASS: e=126, f=139475968873), 26041 (PASS: e=2520, f=7007650471), 26161 (PASS: e=5040, f=3552486907), 26203 (PASS: e=1386, f=12980452141), 26317 (PASS: e=12852, f=1418203081), 26321 (PASS: e=560, f=32562604061), 26399 (PASS: e=182, f=101086006589), 26417 (PASS: e=3952, f=4664805631), 26569 (PASS: e=13608, f=1378260551), 26573 (PASS: e=364, f=51549015919), 26681 (PASS: e=280, f=67834132783), 26687 (PASS: e=22, f=863926082941), 26731 (PASS: e=80190, f=238191031), 26833 (PASS: e=91728, f=210622987), 26861 (PASS: e=140, f=138432637967), 26863 (PASS: e=15246, f=1271474401), 26987 (PASS: e=266, f=73889408597), 27017 (PASS: e=4312, f=4573330801), 27061 (PASS: e=1980, f=10008438701), 27067 (PASS: e=234, f=84743132093), 27073 (PASS: e=12096, f=1640466521), 27091 (PASS: e=1890, f=10519941013), 27127 (PASS: e=29106, f=685839947), 27241 (PASS: e=2520, f=8021740301), 27253 (PASS: e=756, f=26774486671), 27281 (PASS: e=560, f=36257080409), 27329 (PASS: e=5824, f=3504691987)

q = 27337 (PASS: e=504, f=40534238813), 27367 (PASS: e=126, f=162671335237), 27409 (PASS: e=7056, f=2918239963), 27427 (PASS: e=126, f=163743615107), 27647 (PASS: e=182, f=116110808621), 27673 (PASS: e=504, f=42047307679), 27691 (PASS: e=1170, f=18148053761), 27739 (PASS: e=1242, f=17185050229), 27743 (PASS: e=154, f=138656280139), 27901 (PASS: e=35100, f=618802687), 28111 (PASS: e=90, f=246823425907), 28183 (PASS: e=1386, f=16150963351), 28211 (PASS: e=70, f=320743159399), 28219 (PASS: e=126, f=178342279583), 28351 (PASS: e=85050, f=267935851), 28387 (PASS: e=378, f=60515509409), 28403 (PASS: e=154, f=148789375369), 28537 (PASS: e=2088, f=11129981729), 28571 (PASS: e=70, f=333179508763), 28579 (PASS: e=198, f=117889708831), 28603 (PASS: e=378, f=61907456117), 28631 (PASS: e=70, f=335282982337), 28663 (PASS: e=306, f=76956180491), 28687 (PASS: e=126, f=187363441577), 28759 (PASS: e=234, f=101649555767), 28793 (PASS: e=2744, f=8699146499), 28909 (PASS: e=1188, f=20336806981), 28961 (PASS: e=1120, f=21688156489), 29129 (PASS: e=616, f=40123241743), 29131 (PASS: e=630, f=39239695643), 29201 (PASS: e=2800, f=8892730717), 29207 (PASS: e=26, f=958269143567), 29311 (PASS: e=630, f=39971583821)

q = 29443 (PASS: e=126, f=202570234931), 29527 (PASS: e=126, f=204308966557), 29611 (PASS: e=1890, f=13737174617), 29641 (PASS: e=4680, f=5564583979), 29671 (PASS: e=90, f=290237845319), 29717 (PASS: e=476, f=55132532237), 29723 (PASS: e=154, f=170512885429), 29803 (PASS: e=126, f=210091945751), 29851 (PASS: e=450, f=59110432849), 29947 (PASS: e=126, f=213152005247), 29983 (PASS: e=126, f=213921634961), 30059 (PASS: e=2366, f=11479126583), 30097 (PASS: e=33264, f=819587173), 30103 (PASS: e=342, f=79763321353), 30137 (PASS: e=728, f=37598340359), 30187 (PASS: e=2106, f=13061753917), 30259 (PASS: e=1026, f=27003269653), 30313 (PASS: e=7992, f=3485228713), 30367 (PASS: e=378, f=74082199579), 30403 (PASS: e=1134, f=24781994939), 30431 (PASS: e=70, f=402578550757), 30449 (PASS: e=2288, f=12338520371), 30493 (PASS: e=91476, f=309951181), 30553 (PASS: e=936, f=30470931541), 30661 (PASS: e=1260, f=22876437853), 30781 (PASS: e=34020, f=857262577), 30839 (PASS: e=1274, f=23021384207), 30841 (PASS: e=360, f=81485972537), 30881 (PASS: e=1120, f=26293962757), 30911 (PASS: e=110, f=268501354073), 31019 (PASS: e=182, f=163987970219), 31039 (PASS: e=126, f=237329988193), 31063 (PASS: e=126, f=237880939421)

q = 31091 (PASS: e=70, f=429344626951), 31123 (PASS: e=4914, f=6134924269), 31181 (PASS: e=20, f=1515793785137), 31219 (PASS: e=2178, f=13970086261), 31237 (PASS: e=684, f=44560684253), 31357 (PASS: e=9828, f=3137172289), 31397 (PASS: e=28, f=1105366828849), 31469 (PASS: e=364, f=85614523447), 31489 (PASS: e=29952, f=1042439309), 31511 (PASS: e=70, f=446980438369), 31513 (PASS: e=936, f=33434389661), 31541 (PASS: e=260, f=120684925667), 31567 (PASS: e=126, f=249648744137), 31627 (PASS: e=378, f=83691662669), 31721 (PASS: e=1960, f=16284879091), 31723 (PASS: e=234, f=136429062949), 31817 (PASS: e=56, f=575161300277), 31859 (PASS: e=182, f=177674471279), 31883 (PASS: e=38, f=852891803747), 31957 (PASS: e=252, f=129508259621), 31963 (PASS: e=126, f=259162439471), 31981 (PASS: e=2340, f=13978490021), 32059 (PASS: e=702, f=46936727039), 32089 (PASS: e=504, f=65559859367), 32117 (PASS: e=532, f=62272067191), 32309 (PASS: e=196, f=172073692243), 32371 (PASS: e=90, f=376899740009), 32377 (PASS: e=504, f=67340956283), 32423 (PASS: e=26, f=1310950341191), 32531 (PASS: e=70, f=491806428247), 32533 (PASS: e=252, f=136638095093), 32573 (PASS: e=476, f=72604965791), 32579 (PASS: e=14, f=2469933231467)

q = 32621 (PASS: e=140, f=247949807279), 32707 (PASS: e=1242, f=28170888001), 32719 (PASS: e=126, f=277990221833), 32803 (PASS: e=1386, f=25466980841), 32831 (PASS: e=490, f=72219795331), 32839 (PASS: e=1638, f=21620009161), 32941 (PASS: e=1620, f=22064562601), 32957 (PASS: e=308, f=116223058349), 33023 (PASS: e=154, f=233845411579), 33073 (PASS: e=1872, f=19324796453), 33091 (PASS: e=630, f=57516059639), 33199 (PASS: e=198, f=184803340301), 33223 (PASS: e=882, f=41576502563), 33287 (PASS: e=154, f=239498747863), 33457 (PASS: e=1008, f=37153561999), 33581 (PASS: e=140, f=270491011871), 33721 (PASS: e=2520, f=15216010343), 33751 (PASS: e=9213750, f=4172761), 33757 (PASS: e=468, f=82195052669), 33797 (PASS: e=28, f=1378721105449), 33811 (PASS: e=4410, f=8764667753), 34031 (PASS: e=70, f=563022943597), 34057 (PASS: e=1512, f=26125666391), 34061 (PASS: e=260, f=151984337573), 34147 (PASS: e=378, f=105333342049), 34211 (PASS: e=70, f=572004264799), 34231 (PASS: e=630, f=63667560553), 34283 (PASS: e=14, f=2878116838799), 34297 (PASS: e=504, f=80045673643), 34351 (PASS: e=3150, f=12867897697), 34501 (PASS: e=4500, f=9126043523), 34519 (PASS: e=126, f=326440528733), 34591 (PASS: e=630, f=65697493789)

q = 34673 (PASS: e=784, f=53168963749), 34687 (PASS: e=378, f=110410002859), 34739 (PASS: e=22, f=1905589087519), 34781 (PASS: e=380, f=110724211583), 34843 (PASS: e=126, f=335719121231), 34849 (PASS: e=104544, f=404829217), 34919 (PASS: e=26, f=1637615898983), 35023 (PASS: e=126, f=340949052041), 35051 (PASS: e=350, f=123036280679), 35053 (PASS: e=1764, f=24416139509), 35081 (PASS: e=280, f=154190587273), 35221 (PASS: e=1260, f=34676439761), 35251 (PASS: e=2250, f=19468469297), 35267 (PASS: e=14, f=3133123527083), 35291 (PASS: e=70, f=627904873531), 35317 (PASS: e=6804, f=6474214903), 35461 (PASS: e=540, f=82577014217), 35491 (PASS: e=630, f=70960090279), 35531 (PASS: e=110, f=407783460239), 35671 (PASS: e=90, f=504316693519), 35797 (PASS: e=684, f=67063126033), 35851 (PASS: e=3150, f=14628280127), 35911 (PASS: e=5670, f=8167693609), 35993 (PASS: e=88, f=529872605587), 36011 (PASS: e=130, f=359221392841), 36061 (PASS: e=1260, f=37217119123), 36097 (PASS: e=29952, f=1570317611), 36151 (PASS: e=450, f=104990119891), 36191 (PASS: e=70, f=677179355941), 36209 (PASS: e=496, f=95712336043), 36313 (PASS: e=504, f=95007054199), 36373 (PASS: e=252, f=190957546933), 36523 (PASS: e=2646, f=18412361371)

q = 36541 (PASS: e=3780, f=12907718489), 36637 (PASS: e=468, f=105078498989), 36643 (PASS: e=234, f=210260266409), 36653 (PASS: e=2156, f=22839144071), 36677 (PASS: e=28, f=1762070922169), 36721 (PASS: e=84240, f=587793989), 36767 (PASS: e=26, f=1911618554987), 36779 (PASS: e=14, f=3553625968367), 36877 (PASS: e=252, f=199006017691), 36887 (PASS: e=14, f=3585023208293), 36899 (PASS: e=14, f=3588523162907), 36947 (PASS: e=1274, f=39588414953), 36973 (PASS: e=1404, f=35998712179), 37003 (PASS: e=126, f=402105730151), 37013 (PASS: e=196, f=258706172251), 37019 (PASS: e=38, f=1335028238891), 37039 (PASS: e=126, f=403280491193), 37061 (PASS: e=340, f=149717471347), 37123 (PASS: e=882, f=58004356213), 37171 (PASS: e=1890, f=27173834789), 37201 (PASS: e=3600, f=14300833231), 37321 (PASS: e=2520, f=20628102233), 37339 (PASS: e=882, f=59022753049), 37357 (PASS: e=396, f=131649978127), 37361 (PASS: e=560, f=93125249423), 37507 (PASS: e=126, f=418761204467), 37517 (PASS: e=28, f=1885933080979), 37571 (PASS: e=70, f=757635338863), 37573 (PASS: e=252, f=210487871633), 37591 (PASS: e=630, f=84316212089), 37699 (PASS: e=882, f=60746450389), 37811 (PASS: e=70, f=772247392039)

q = 37831 (PASS: e=90, f=601590479191), 37861 (PASS: e=180, f=301511399491), 37879 (PASS: e=126, f=431345200813), 37963 (PASS: e=14742, f=3711292363), 37991 (PASS: e=70, f=783328874761), 38039 (PASS: e=154, f=357409879567), 38047 (PASS: e=21294, f=2586449513), 38119 (PASS: e=126, f=439596222533), 38197 (PASS: e=1404, f=39693615293), 38239 (PASS: e=342, f=163490858029), 38273 (PASS: e=11648, f=4813114067), 38501 (PASS: e=3500, f=16306020533), 38543 (PASS: e=14, f=4089860634929), 38567 (PASS: e=154, f=372500493703), 38611 (PASS: e=8910, f=6460341043), 38671 (PASS: e=90, f=642560017619), 38677 (PASS: e=252, f=229592554741), 38693 (PASS: e=28, f=2068898471377), 38711 (PASS: e=490, f=118387838407), 38791 (PASS: e=1890, f=30883827803), 38803 (PASS: e=126, f=463687476251), 38821 (PASS: e=180, f=325033144787), 38917 (PASS: e=756, f=77964386827), 38921 (PASS: e=280, f=210568759657), 39139 (PASS: e=1386, f=43257951113), 39217 (PASS: e=1872, f=32219386021), 39251 (PASS: e=1750, f=34555257103), 39293 (PASS: e=308, f=196967624957), 39313 (PASS: e=9072, f=6697388893), 39397 (PASS: e=1764, f=34664973823), 39419 (PASS: e=14, f=4375107942647)

q = 39443 (PASS: e=26, f=2360132964281), 39499 (PASS: e=522, f=118055927909), 39703 (PASS: e=234, f=267457089239), 39727 (PASS: e=378, f=165869108819), 39953 (PASS: e=784, f=81345235939), 39971 (PASS: e=70, f=912298584223), 40093 (PASS: e=252, f=255743804303), 40151 (PASS: e=550, f=117686435569), 40153 (PASS: e=504, f=128446850519), 40361 (PASS: e=40, f=1643712139147), 40427 (PASS: e=14, f=4719396952463), 40429 (PASS: e=756, f=87409211473), 40459 (PASS: e=198, f=334487769811), 40531 (PASS: e=630, f=105686960383), 40597 (PASS: e=252, f=265510245461), 40699 (PASS: e=4914, f=13718798057), 40771 (PASS: e=810, f=83669865721), 40801 (PASS: e=7200, f=9433653617), 40813 (PASS: e=684, f=99389259719), 40819 (PASS: e=126, f=539779687883), 40903 (PASS: e=126, f=543118931701), 40927 (PASS: e=234, f=292963743923), 40933 (PASS: e=15876, f=4319959111), 41011 (PASS: e=90, f=766405420937), 41017 (PASS: e=504, f=136918187603), 41047 (PASS: e=342, f=202217230441), 41141 (PASS: e=830060, f=83890937), 41281 (PASS: e=20160, f=3489475069), 41413 (PASS: e=252, f=281844481873). 41479 (PASS: e=126, f=566388318613), 41539 (PASS: e=126, f=568849743443), 41687 (PASS: e=14, f=5174565530693)

q = 41737 (PASS: e=2664, f=27291629543), 41893 (PASS: e=2196, f=33480508811), 41911 (PASS: e=630, f=116853983081), 41941 (PASS: e=3780, f=19517515979), 41981 (PASS: e=140, f=528482124851), 41983 (PASS: e=126, f=587286288961), 41999 (PASS: e=22, f=3367395823909), 42017 (PASS: e=416, f=178312501007), 42071 (PASS: e=70, f=1063776678913), 42221 (PASS: e=140, f=537597833999), 42227 (PASS: e=338, f=222768604589), 42373 (PASS: e=756, f=100634256811), 42391 (PASS: e=810, f=94045055287), 42409 (PASS: e=2808, f=27162953641), 42433 (PASS: e=7488, f=10203410897), 42457 (PASS: e=504, f=151850901623), 42491 (PASS: e=70, f=1095955236811), 42499 (PASS: e=1134, f=67689776347), 42643 (PASS: e=702, f=110460279803), 42649 (PASS: e=936, f=82880184493), 42821 (PASS: e=140, f=560844389669), 42901 (PASS: e=9900, f=7975667713), 42961 (PASS: e=5040, f=15732314117), 42967 (PASS: e=4158, f=19077462589), 42979 (PASS: e=234, f=339275939657), 43103 (PASS: e=14, f=5719979332409), 43117 (PASS: e=252, f=318086374931), 43177 (PASS: e=504, f=159708067433), 43261 (PASS: e=1260, f=64256803483), 43271 (PASS: e=70, f=1157424725593), 43319 (PASS: e=242, f=335907655499), 43331 (PASS: e=70, f=1162246094767)

q = 43411 (PASS: e=630, f=129855043231), 43451 (PASS: e=350, f=234385792751), 43517 (PASS: e=44, f=1872941306123), 43579 (PASS: e=166698, f=496479581), 43591 (PASS: e=4410, f=18782435527), 43597 (PASS: e=756, f=109609455737), 43633 (PASS: e=9072, f=9156767363), 43649 (PASS: e=896, f=92814298313), 43651 (PASS: e=1350, f=61609661647), 43661 (PASS: e=140, f=594501561527), 43789 (PASS: e=252, f=333191981659), 43793 (PASS: e=112, f=749887421413), 43933 (PASS: e=252, f=336489905743), 43943 (PASS: e=14, f=6060955191629), 43951 (PASS: e=450, f=188666055143), 43961 (PASS: e=280, f=303420316831), 43963 (PASS: e=306, f=277677400841), 44021 (PASS: e=20, f=4265301311063), 44027 (PASS: e=14, f=6095779446263), 44053 (PASS: e=252, f=339254741813), 44059 (PASS: e=126, f=678786759503), 44111 (PASS: e=70, f=1226147367709), 44123 (PASS: e=14, f=6135741634919), 44203 (PASS: e=234, f=369096033989), 44221 (PASS: e=1260, f=68630179211), 44293 (PASS: e=252, f=344829766753), 44381 (PASS: e=140, f=624400461131), 44383 (PASS: e=234, f=373623432179), 44549 (PASS: e=28, f=3157590800041), 44809 (PASS: e=504, f=178511097157), 44879 (PASS: e=14, f=6456564268817)

q = 44893 (PASS: e=756, f=119677935701), 44909 (PASS: e=28, f=3234760435051), 44927 (PASS: e=14, f=6477303144713), 44971 (PASS: e=90, f=1010543761229), 45007 (PASS: e=126, f=723551838217), 45053 (PASS: e=28, f=3265976941567), 45263 (PASS: e=14, f=6623720071889), 45319 (PASS: e=126, f=738703930133), 45341 (PASS: e=140, f=665802232763), 45427 (PASS: e=126, f=743997756107), 45439 (PASS: e=126, f=744587515393), 45481 (PASS: e=2520, f=37332706357), 45497 (PASS: e=56, f=1681745428187), 45613 (PASS: e=756, f=125529013441), 45779 (PASS: e=74, f=1296484071137), 45821 (PASS: e=20, f=4810206196133), 45827 (PASS: e=22, f=4374632773831), 45949 (PASS: e=252, f=384970677799), 45971 (PASS: e=70, f=1387886057623), 46021 (PASS: e=180, f=541496493707), 46061 (PASS: e=980, f=99718103801), 46091 (PASS: e=110, f=890134650287), 46133 (PASS: e=52, f=1888129373743), 46141 (PASS: e=1260, f=77963344747), 46153 (PASS: e=1512, f=65020157423), 46181 (PASS: e=140, f=703496535341), 46261 (PASS: e=540, f=183337493477), 46309 (PASS: e=252, f=394090229689), 46399 (PASS: e=198, f=504499420501), 46411 (PASS: e=630, f=158680013531), 46439 (PASS: e=14, f=7153532293037)

q = 46447 (PASS: e=126, f=795247769497), 46523 (PASS: e=14, f=7192421004119), 46567 (PASS: e=702, f=143845959781), 46633 (PASS: e=1368, f=74129994677), 46663 (PASS: e=126, f=806394253621), 46771 (PASS: e=630, f=162401268527), 46811 (PASS: e=70, f=1465364670139), 46853 (PASS: e=28, f=3673281239017), 46867 (PASS: e=126, f=817016672987), 46933 (PASS: e=468, f=220896631727), 46957 (PASS: e=252, f=410866268371), 46993 (PASS: e=1008, f=102952993957), 47017 (PASS: e=2808, f=37014138089), 47051 (PASS: e=350, f=297603839639), 47059 (PASS: e=198, f=526335777911), 47093 (PASS: e=28, f=3730018975477), 47161 (PASS: e=7560, f=13874815613), 47251 (PASS: e=141750, f=744234751), 47279 (PASS: e=14, f=7548780735617), 47287 (PASS: e=378, f=279726419759), 47317 (PASS: e=252, f=420388729381), 47381 (PASS: e=20, f=5318420500367), 47387 (PASS: e=14, f=7600630313543), 47441 (PASS: e=560, f=190666097477), 47459 (PASS: e=26, f=4111330604753), 47491 (PASS: e=90, f=1190121864353), 47527 (PASS: e=126, f=852021707557), 47659 (PASS: e=3042, f=35585704409), 47713 (PASS: e=2016, f=53879014631), 47737 (PASS: e=4536, f=23982382307), 47741 (PASS: e=140, f=777224530643)

q = 47779 (PASS: e=126, f=865646589763), 47791 (PASS: e=17010, f=6417029567), 47797 (PASS: e=252, f=433312657661), 48073 (PASS: e=504, f=220431237629), 48091 (PASS: e=630, f=176543151139), 48109 (PASS: e=468, f=237921196921), 48157 (PASS: e=252, f=443177529071), 48163 (PASS: e=414, f=269861077939), 48239 (PASS: e=14, f=8018014791137), 48311 (PASS: e=70, f=1610794141489), 48337 (PASS: e=1008, f=112041404969), 48623 (PASS: e=14, f=8211022027169), 48661 (PASS: e=1260, f=91447648753), 48679 (PASS: e=126, f=915491674213), 48731 (PASS: e=70, f=1653171580027), 48733 (PASS: e=468, f=247299699677), 48751 (PASS: e=11250, f=10299071263), 48757 (PASS: e=252, f=459949749421), 48761 (PASS: e=40, f=2898396653377), 48787 (PASS: e=126, f=921598576027), 48799 (PASS: e=378, f=307426264091), 48847 (PASS: e=126, f=925003004297), 48871 (PASS: e=39690, f=2940847999), 48907 (PASS: e=594, f=196936686193), 48973 (PASS: e=252, f=466089786283), 48991 (PASS: e=90, f=1306490943403), 49037 (PASS: e=28, f=4211275439059), 49069 (PASS: e=2052, f=57576368029), 49081 (PASS: e=2520, f=46918019047), 49109 (PASS: e=28, f=4229852671501), 49123 (PASS: e=378, f=313590462497) 

q = 49171 (PASS: e=90, f=1320944626969), 49177 (PASS: e=10584, f=11236634723), 49201 (PASS: e=3600, f=33084097241), 49207 (PASS: e=126, f=945605783117), 49253 (PASS: e=28, f=4267170875617), 49369 (PASS: e=8712, f=13811636009), 49429 (PASS: e=756, f=159743677223), 49481 (PASS: e=40, f=3028694108791), 49597 (PASS: e=252, f=484134110711), 49639 (PASS: e=126, f=970730167493), 49663 (PASS: e=9126, f=13422035621), 49681 (PASS: e=45360, f=2703323009), 49729 (PASS: e=4032, f=30500619109), 49741 (PASS: e=180, f=683708582089), 49811 (PASS: e=10, f=12358785139873), 49823 (PASS: e=14, f=8834085271769), 49843 (PASS: e=2106, f=58796863001), 49871 (PASS: e=10, f=12403499400331), 49877 (PASS: e=28, f=4431420267469), 49891 (PASS: e=630, f=197117906119), 50033 (PASS: e=112, f=1118282708803), 50087 (PASS: e=14, f=8975259714893), 50129 (PASS: e=112, f=1124732127649), 50227 (PASS: e=126, f=1005636833707), 50341 (PASS: e=8820, f=14464283651), 50359 (PASS: e=126, f=1013586336653), 50383 (PASS: e=3402, f=37593932843), 50423 (PASS: e=14, f=9157101074069), 50441 (PASS: e=40, f=3208418947903), 50551 (PASS: e=3150, f=41008954741), 50593 (PASS: e=2016, f=64236337241)

q = 50647 (PASS: e=882, f=147296555771), 50653 (PASS: e=2268, f=57302354407), 50773 (PASS: e=252, f=519395203333), 50839 (PASS: e=234, f=561532815127), 50857 (PASS: e=504, f=260988684073), 51031 (PASS: e=153090, f=868071331), 51061 (PASS: e=180, f=739597514111), 51109 (PASS: e=252, f=529775182889), 51169 (PASS: e=3744, f=35783675657), 51193 (PASS: e=13608, f=9859103857), 51199 (PASS: e=126, f=1065157649473), 51217 (PASS: e=1584, f=84817844593), 51241 (PASS: e=2520, f=53389056901), 51283 (PASS: e=378, f=356802976937), 51341 (PASS: e=20, f=6766482682241), 51421 (PASS: e=180, f=755351419397), 51431 (PASS: e=3430, f=39662563993), 51437 (PASS: e=28, f=4860364739659), 51511 (PASS: e=90, f=1518649088287), 51563 (PASS: e=14, f=9792340265039), 51577 (PASS: e=504, f=272231073883), 51679 (PASS: e=5346, f=25817450303), 51691 (PASS: e=90, f=1534625083693), 51769 (PASS: e=1512, f=91760873009), 51853 (PASS: e=252, f=553249618363), 51859 (PASS: e=54, f=2582727900607), 51899 (PASS: e=14, f=9985019880407), 51907 (PASS: e=126, f=1109959781267), 51949 (PASS: e=2268, f=61814238811), 52021 (PASS: e=3780, f=37242968467), 52259 (PASS: e=14, f=10194249286427)

q = 52369 (PASS: e=1008, f=142482757301), 52453 (PASS: e=756, f=190892647571), 52511 (PASS: e=70, f=2068487147269), 52627 (PASS: e=882, f=165256007501), 52691 (PASS: e=70, f=2089831556791), 52747 (PASS: e=126, f=1164723255847), 52783 (PASS: e=234, f=628443666379), 52859 (PASS: e=14, f=10549425091127), 52883 (PASS: e=74, f=1998556972289), 52903 (PASS: e=378, f=391695968567), 53017 (PASS: e=936, f=159209727517), 53047 (PASS: e=378, f=394903228399), 53093 (PASS: e=52, f=2878117057603), 53173 (PASS: e=756, f=198861950911), 53201 (PASS: e=2800, f=53777592457), 53269 (PASS: e=828, f=182554816261), 53281 (PASS: e=211680, f=714557653), 53401 (PASS: e=1800, f=84601032689), 53549 (PASS: e=44, f=3489807073367), 53591 (PASS: e=10, f=15391309910407), 53593 (PASS: e=504, f=305417324839), 53623 (PASS: e=486, f=317261266081), 53731 (PASS: e=810, f=191509248169), 53791 (PASS: e=90, f=1729363724363), 53881 (PASS: e=17640, f=8867646281), 53891 (PASS: e=10, f=15651239142697), 53939 (PASS: e=14, f=11209355326787), 53959 (PASS: e=234, f=671391471167), 53993 (PASS: e=56, f=2810763784601), 54059 (PASS: e=122, f=1294923738749), 54083 (PASS: e=14, f=11299371470699)

q = 54151 (PASS: e=450, f=352863656011), 54181 (PASS: e=3780, f=42077434183), 54193 (PASS: e=1872, f=85020515773), 54217 (PASS: e=4536, f=35134469717), 54251 (PASS: e=1750, f=91239982843), 54331 (PASS: e=630, f=254567258963), 54401 (PASS: e=22400, f=7187413493), 54419 (PASS: e=14, f=11511280460147), 54469 (PASS: e=5292, f=30537140749), 54503 (PASS: e=14, f=11564668480109), 54539 (PASS: e=14, f=11587599499487), 54541 (PASS: e=11340, f=14307252263), 54581 (PASS: e=20, f=8130073450247), 54629 (PASS: e=28, f=5822529810721), 54721 (PASS: e=60480, f=2709257557), 54727 (PASS: e=126, f=1300871443957), 54869 (PASS: e=44, f=3754295552657), 54973 (PASS: e=2268, f=73249601087), 54979 (PASS: e=882, f=188417797909), 55147 (PASS: e=126, f=1331052330647), 55171 (PASS: e=1890, f=88852727389), 55217 (PASS: e=112, f=1503143347351), 55331 (PASS: e=10, f=16939693882969), 55339 (PASS: e=882, f=192143340049), 55343 (PASS: e=14, f=12107655531329), 55351 (PASS: e=198450, f=854526059), 55381 (PASS: e=1260, f=134806811009), 55411 (PASS: e=90, f=1890364071017), 55501 (PASS: e=4500, f=37991803537), 55511 (PASS: e=70, f=2443650619969), 55633 (PASS: e=7056, f=24402755431), 55661 (PASS: e=140, f=1231756826927), 55681 (PASS: e=5760, f=29970817949), 55711 (PASS: e=270, f=640411464409), 55717 (PASS: e=252, f=686376858281), 55721 (PASS: e=280, f=617872227037), 55763 (PASS: e=98, f=1769344153877), 55807 (PASS: e=18, f=9655917035719), 55829 (PASS: e=196, f=887817038203), 55837 (PASS: e=3564, f=48845947043)

omega(q^3 -1) = 8

(816 PEs, 748 which pass):

q = 2671, 3571, 3721, 4096, 4111, 4561, 4951, 5791, 5821, 6091, 6581, 6763, 6871, 6997, 7151, 7639, 7879, 8647, 8779, 8941, 8971, 9109, 9181, 9241, 9283, 10111, 10201, 10609, 11027, 11311, 11449, 11677, 11743, 11881, 12301, 12541, 12547, 12671 (PASS: e=88270, f=23047273), 12973, 12979, 13003, 13367 (PASS: e=276094, f=8650573), 13421, 13729, 13913 (PASS: e=835016, f=3225281), 14389, 14821, 14947, 15031, 15271, 15401, 15541, 15661, 15731 (PASS: e=110110, f=35354299), 16831, 16879 (PASS: e=69426, f=69265663), 16921, 16993, 17021 (PASS: e=833980, f=5912887), 17161, 17491, 17579 (PASS: e=34034, f=159613457), 17749 (PASS: e=372708, f=15002131), 17761, 17851, 17881 (PASS: e=412920, f=13845527), 18251 (PASS: e=1230250, f=4941589), 18541 (PASS: e=554580, f=11493049), 18691 (PASS: e=56070, f=116457391), 18769 (PASS: e=394128, f=16775911), 18859 (PASS: e=31122, f=215520449), 18911 (PASS: e=28210, f=239739943), 19163 (PASS: e=38038, f=185000467), 19273 (PASS: e=105336, f=67962781), 19321, 19483 (PASS: e=194922, f=37940813), 19597 (PASS: e=179676, f=41886947), 19861 (PASS: e=84420, f=92802139), 19891, 19919 (PASS: e=44954, f=175806227), 20021 (PASS: e=20020, f=400860463), 20341, 20431 (PASS: e=847530, f=10062683), 20749 (PASS: e=62244, f=143513917)

q = 20759 (PASS: e=25802, f=346709639), 20857 (PASS: e=171864, f=52792303), 20983 (PASS: e=31122, f=296848763), 21121,  21211,  21319, 21401 (PASS: e=345800, f=28345049), 21433 (PASS: e=658008, f=14962967), 21737 (PASS: e=56056, f=183221617), 21751 (PASS: e=456750, f=22529893), 21851 (PASS: e=6650, f=1568889317), 21893 (PASS: e=13468, f=779135017), 22051, 22201 (PASS: e=390600, f=28014661), 22441, 22807 (PASS: e=567378, f=20908939), 23011, 23143 (PASS: e=31122, f=398282723), 23689 (PASS: e=609336, f=21816413), 24061 (PASS: e=23940, f=581857817), 24391 (PASS: e=108810, f=133358287), 24631 (PASS: e=22230, f=672212633), 24859 (PASS: e=93366, f=164536483), 25087 (PASS: e=12654, f=1247723513), 25229 (PASS: e=6188, f=2595074351), 25301 (PASS: e=14300, f=1132601213), 25411 (PASS: e=990990, f=16557547), 25561 (PASS: e=98280, f=169929341), 25621 (PASS: e=54180, f=310419667), 25741, 25771 (PASS: e=11970, f=1429880233), 26021 (PASS: e=5180, f=3401278457), 26251 (PASS: e=2441250, f=7410121), 26293 (PASS: e=7812, f=2326795363), 26497 (PASS: e=5975424, f=3113303), 27031 (PASS: e=10710, f=1844152649), 27751 (PASS: e=555750, f=38455321), 27941 (PASS: e=1540, f=14164626103), 28051, 28429 (PASS: e=5796, f=3964207453)

q = 28463 (PASS: e=8246, f=2796396101), 28549 (PASS: e=26676, f=872272123), 28561 (PASS: e=85680, f=271919761), 28621 (PASS: e=1631340, f=14371759), 28627 (PASS: e=1638, f=14322328039), 28697 (PASS: e=18088, f=1306528669), 28843 (PASS: e=48906, f=490635701), 28921 (PASS: e=425880, f=56800567), 29147 (PASS: e=494, f=50125028663), 29173 (PASS: e=1765764, f=14060819), 29191 (PASS: e=11970, f=2078034571), 29327 (PASS: e=4774, f=5283485293), 29383 (PASS: e=21294, f=1191327469), 29411 (PASS: e=1190, f=21378755087), 29537 (PASS: e=55328, f=465751409), 29761 (PASS: e=2681280, f=9831061), 29921 (PASS: e=29920, f=895296163), 29929 (PASS: e=190008, f=141092761), 30013 (PASS: e=101556, f=266208941), 30091 (PASS: e=19890, f=1369856513), 30109 (PASS: e=3276, f=8331920203), 30181 (PASS: e=46620, f=589696577), 30319 (PASS: e=1638, f=17014951741), 30391 (PASS: e=38430, f=730406429), 30559 (PASS: e=18018, f=1583838271), 30637 (PASS: e=32292, f=890520181), 30757 (PASS: e=12276, f=2370145667), 30941 (PASS: e=1820, f=16275399191), 31873 (PASS: e=249984, f=129525899), 32191 (PASS: e=33930, f=983149459), 32327 (PASS: e=5642, f=5987742671), 32491 (PASS: e=682290, f=50271313), 32561 (PASS: e=6160, f=5604185353), 32587 (PASS: e=1638, f=21126095779) 

q = 32771 (PASS: e=2030, f=17336963867), 32971 (PASS: e=8190, f=4376354119), 33181 (PASS: e=23940, f=1525963921), 33289 (PASS: e=6099912, f=6047539), 33331 (PASS: e=6930, f=5343327533), 33403 (PASS: e=22914, f=1626505409), 33679 (PASS: e=4914, f=7773961967), 34141 (PASS: e=16380, f=2429488319), 34171 (PASS: e=74970, f=532213093), 34381 (PASS: e=49140, f=827028281), 34511 (PASS: e=15470, f=2656943489), 34651 (PASS: e=103950, f=400242151), 34841 (PASS: e=3640, f=11619045463), 35149 (PASS: e=7308, f=5942105831), 35311 (PASS: e=12870, f=3420987629), 35597 (PASS: e=4004, f=11265387293), 35731 (PASS: e=5130, f=8892382753), 36037 (PASS: e=108108, f=432900469), 36187 (PASS: e=2394, f=19794001333), 36341 (PASS: e=3220, f=14905095031), 36481 (PASS: e=129467520, f=375007), 36551 (PASS: e=5950, f=8206931797),  36709 (PASS: e=4788, f=10331503331), 36791 (PASS: e=2470, f=20161731361), 36857 (PASS: e=952, f=52592401171), 36943 (PASS: e=2394, f=21060677299), 37423 (PASS: e=1459458, f=35910727), 37489 (PASS: e=11088, f=4751802161), 37501 (PASS: e=10237500, f=5151511), 37717 (PASS: e=10836, f=4951564367), 37783 (PASS: e=7182, f=7510068773), 38083 (PASS: e=3762, f=14681643253), 38281 (PASS: e=51480, f=1089710873), 38321 (PASS: e=2480, f=22691270867)

q = 38431 (PASS: e=24570, f=2310148507), 38749 (PASS: e=3276, f=17759780923), 38767 (PASS: e=1638, f=35569084349), 38809 (PASS: e=116424, f=502059097), 38861 (PASS: e=4060, f=14454926323), 38923 (PASS: e=4446, f=13263234871), 38971 (PASS: e=1890, f=31315752049), 39451 (PASS: e=5850, f=10495863701), 39601 (PASS: e=10810800, f=5744611), 39607 (PASS: e=31122, f=1996403611), 39679 (PASS: e=3978, f=15704256371), 39733 (PASS: e=2772, f=22628764663), 39841 (PASS: e=131040, f=482599433), 40063 (PASS: e=9702, f=6627795973), 40591 (PASS: e=56430, f=1185166049), 40639 (PASS: e=11466, f=5853519923), 40849 (PASS: e=13104, f=5201641337), 41161 (PASS: e=1605240, f=43442797), 41341 (PASS: e=2340, f=30194446673), 41491 (PASS: e=1890, f=37792002293), 41617 (PASS: e=873936, f=82476967), 41659 (PASS: e=2394, f=30199682437), 41771 (PASS: e=4270, f=17068554463), 42181 (PASS: e=44460, f=1688033869), 42487 (PASS: e=1638, f=46822468129), 42641 (PASS: e=7280, f=10650028349), 42667 (PASS: e=1638, f=47420095699), 42841 (PASS: e=128520, f=611798041), 43051 (PASS: e=3150, f=25330232591), 43189 (PASS: e=17316, f=4652344523), 43691 (PASS: e=1190, f=70085631923), 43711 (PASS: e=1710, f=48840051833), 43759 (PASS: e=54054, f=1550152157)

q = 44071 (PASS: e=1170, f=73159857923), 44087 (PASS: e=266, f=322143969047), 44201 (PASS: e=44200, f=1953772603), 44281 (PASS: e=800280, f=108495143), 44651 (PASS: e=12350, f=7208196407), 44683 (PASS: e=1386, f=64367070101), 44773 (PASS: e=3276, f=27397106141), 44839 (PASS: e=17766, f=5074322873), 45061 (PASS: e=114660, f=797977303), 45553 (PASS: e=13104, f=7213517119), 45691 (PASS: e=8190, f=11646839423), 45841 (PASS: e=9360, f=10291682987), 45943 (PASS: e=1524978, f=63590827), 46489 (PASS: e=6552, f=15334750859), 46747 (PASS: e=50274, f=2031972353), 46751 (PASS: e=35750, f=2858226677), 46831 (PASS: e=630, f=163027078213), 47269 (PASS: e=43524, f=2426612567), 47431 (PASS: e=4590, f=23247387661), 47497 (PASS: e=15624, f=6858139403), 47581 (PASS: e=16380, f=6576378463), 47653 (PASS: e=2772, f=39037097083), 47807 (PASS: e=154, f=709502212123), 47947 (PASS: e=1638, f=67293082019), 47951 (PASS: e=10850, f=10161627431), 48463 (PASS: e=5166, f=22033144481), 48533 (PASS: e=308, f=371159598167), 48571 (PASS: e=1170, f=97936656473), 49261 (PASS: e=1260, f=94872233783), 49477 (PASS: e=4788, f=25296237739), 49531 (PASS: e=1170, f=103859308537), 49667 (PASS: e=1862, f=65799729551), 49711 (PASS: e=630, f=194992069861)

q = 49787 (PASS: e=418, f=295237549489), 50053 (PASS: e=8892, f=14102330353), 50101 (PASS: e=6300, f=19961750981), 50131 (PASS: e=24570, f=5127597737), 50287 (PASS: e=67626, f=1880414027), 50741 (PASS: e=380, f=343790181629), 50969 (PASS: e=728, f=181880843411), 50989 (PASS: e=3276, f=40465563343), 51349 (PASS: e=2772, f=48843046559), 51361 (PASS: e=10080, f=13441256861), 51461 (PASS: e=140, f=973434262037), 51529 (PASS: e=67032, f=2041140809), 51767 (PASS: e=2002, f=69293886331), 51991 (PASS: e=630, f=223071435929), 52027 (PASS: e=5382, f=26166320651), 52081 (PASS: e=65520, f=2156075947), 52147 (PASS: e=7182, f=19744338371), 52291 (PASS: e=1890, f=75651760253), 52321 (PASS: e=18720, f=7651071553), 52711 (PASS: e=8190, f=17882155397), 52861 (PASS: e=16380, f=9017626151), 52973 (PASS: e=476, f=312289048091), 53101 (PASS: e=35100, f=4265804843), 53197 (PASS: e=36036, f=4177580677), 53239 (PASS: e=2394, f=63032643647), 53327 (PASS: e=182, f=833239921301), 53407 (PASS: e=14742, f=10333278701), 53503 (PASS: e=4662, f=32852024173), 53719 (PASS: e=21294, f=7279918357), 53923 (PASS: e=1386, f=113125082281), 54011 (PASS: e=110, f=1432365887303), 54037 (PASS: e=9828, f=16054934659)

q = 54091 (PASS: e=1890, f=83736195913), 54167 (PASS: e=182, f=873238674041), 54289 (PASS: e=39312, f=4070149739), 54367 (PASS: e=3978, f=40396275779), 54517 (PASS: e=2772, f=58452436871), 54583 (PASS: e=1386, f=117329974151), 54601 (PASS: e=163800, f=993774601), 54751 (PASS: e=110250, f=1488667027), 55291 (PASS: e=1710, f=98847849127), 55441 (PASS: e=166320, f=1024586641), 55843 (PASS: e=4662, f=37353728263), 55871 (PASS: e=1330, f=131131700407), 55933 (PASS: e=1332, f=131371184573), 56239 (PASS: e=1638, f=108592260061), 56533 (PASS: e=3276, f=55152119161), 56893 (PASS: e=2772, f=66432910373), 57131 (PASS: e=910, f=204915157999), 57191 (PASS: e=1330, f=140647309939), 57751 (PASS: e=173250, f=1111745251), 58099 (PASS: e=397854, f=492926587), 58171 (PASS: e=630, f=312448928467), 58207 (PASS: e=7686, f=25658145797), 58243 (PASS: e=3978, f=49666828777), 58451 (PASS: e=59150, f=3376144979), 58657 (PASS: e=26208, f=7700619449), 58787 (PASS: e=182, f=1116278360711), 58831 (PASS: e=1710, f=119075545889), 59021 (PASS: e=1820, f=112966143443), 59049 (PASS: e=6776, f=30385350073), 59159 (PASS: e=154, f=1344441011407), 59263 (PASS: e=1638, f=127068235717), 59281 (PASS: e=9360, f=22257209539)

q = 59333 (PASS: e=364, f=573835668349), 59357 (PASS: e=15092, f=13856994101), 59359 (PASS: e=7254, f=28832491757), 59467 (PASS: e=9702, f=21675384931), 59971 (PASS: e=630, f=342360240247), 60271 (PASS: e=57330, f=3818943647), 60607 (PASS: e=4914, f=45303651703), 60631 (PASS: e=4410, f=50541206399), 60757 (PASS: e=15372, f=14590110761), 61051 (PASS: e=34650, f=6567122341), 61261 (PASS: e=1260, f=182465894383), 61291 (PASS: e=10530, f=21865617689), 61381 (PASS: e=5940, f=38932781611), 61681 (PASS: e=65520, f=3581626787), 61837 (PASS: e=8892, f=26591680331), 61909 (PASS: e=36036, f=6584530123), 62071 (PASS: e=630, f=379599539657), 62131 (PASS: e=1710, f=140258412979), 62473 (PASS: e=1368, f=178234177937), 62701 (PASS: e=485100, f=508150231), 62773 (PASS: e=3276, f=75504834641), 62791 (PASS: e=8190, f=30227922293), 63001 (PASS: e=2457000, f=101774077), 63031 (PASS: e=990, f=252945756221), 63241 (PASS: e=4680, f=54044354339), 63389 (PASS: e=364, f=699745828387), 63781 (PASS: e=1260, f=205922322229), 64231 (PASS: e=1710, f=154966541309), 64303 (PASS: e=2394, f=111063040579), 64327 (PASS: e=1638, f=162504726089), 64483 (PASS: e=2574, f=104166281339)

q = 64591 (PASS: e=630, f=427735676789), 65011 (PASS: e=6930, f=39648549581), 65101 (PASS: e=6300, f=43794788131), 65167 (PASS: e=3906, f=70851809527), 65581 (PASS: e=2340, f=120536408341), 65599 (PASS: e=1638, f=172336694821), 65731 (PASS: e=630, f=450785739703), 65881 (PASS: e=22680, f=12607747363), 65927 (PASS: e=238, f=1203962566189), 66049 (PASS: e=419328, f=687139441), 66067 (PASS: e=15246, f=18914629747), 66179 (PASS: e=182, f=1592535834359), 66221 (PASS: e=1540, f=188567343709), 66431 (PASS: e=910, f=322159526089), 66697 (PASS: e=9576, f=30983805847), 66733 (PASS: e=252, f=1179292147043), 67057 (PASS: e=11088, f=27194378809), 67141 (PASS: e=3780, f=80070329599), 67271 (PASS: e=910, f=334535536861), 67391 (PASS: e=70, f=4372276940821), 67453 (PASS: e=2772, f=110716050133), 67531 (PASS: e=630, f=488842541083), 67651 (PASS: e=4950, f=62548581191), 67679 (PASS: e=494, f=627530516777), 67967 (PASS: e=182, f=1725134319341), 67993 (PASS: e=45864, f=6853630429), 68311 (PASS: e=115830, f=2752015481), 68329 (PASS: e=19656, f=16230057223), 68371 (PASS: e=630, f=507312129887), 68443 (PASS: e=1386, f=231325698221), 68449 (PASS: e=125856, f=2548164133)

q = 68597 (PASS: e=308, f=1048008130559), 68611 (PASS: e=630, f=512673297751), 68821 (PASS: e=1260, f=258697595041), 69259 (PASS: e=2142, f=155099066359), 69371 (PASS: e=70, f=4769093367883), 69379 (PASS: e=126, f=2650413056563), 69403 (PASS: e=234, f=1428627064589), 69481 (PASS: e=182520, f=1837755457), 69661 (PASS: e=34020, f=9936531289), 69941 (PASS: e=980, f=349115745719), 69997 (PASS: e=4788, f=71628216769), 70111 (PASS: e=5130, f=67180173251), 70177 (PASS: e=26208, f=13187136929), 70313 (PASS: e=1144, f=303865126009), 70459 (PASS: e=2394, f=146111796037), 70501 (PASS: e=31500, f=11124366221), 70687 (PASS: e=12474, f=28314761723), 70877 (PASS: e=364, f=978170581363), 71023 (PASS: e=2394, f=149648680739), 71171 (PASS: e=770, f=468186060173), 71191 (PASS: e=1890, f=190903317683), 71593 (PASS: e=9576, f=38320180531), 71711 (PASS: e=130, f=2836703756911), 71843 (PASS: e=238, f=1558032169387), 72229 (PASS: e=468, f=805172536891), 72271 (PASS: e=2970, f=127097129683), 72421 (PASS: e=3060, f=124128676691), 72661 (PASS: e=1260, f=304462329953), 72931 (PASS: e=12870, f=30141020927), 72997 (PASS: e=2772, f=140320721851), 73061 (PASS: e=140, f=2785664443757)

q = 73291 (PASS: e=630, f=624901248859), 73327 (PASS: e=15246, f=25860435617), 73351 (PASS: e=487350, f=809798833), 73613 (PASS: e=308, f=1295128424537), 73651 (PASS: e=3150, f=126830992163), 73867 (PASS: e=234, f=1722405985493), 74047 (PASS: e=4662, f=87086359181), 74311 (PASS: e=1170, f=350730436019), 74383 (PASS: e=9702, f=42418938893), 74531 (PASS: e=70, f=5914428758047), 74611 (PASS: e=8370, f=49623012349), 74731 (PASS: e=4230, f=98664748643), 75037 (PASS: e=298116, f=1417232497), 75079 (PASS: e=378, f=1119601930471), 75181 (PASS: e=1260, f=337251390599), 75211 (PASS: e=2070, f=205529300299), 75527 (PASS: e=1078, f=399657477169), 75541 (PASS: e=1260, f=342119354417), 75583 (PASS: e=4914, f=87869311799), 75721 (PASS: e=2520, f=172285402393), 76003 (PASS: e=126, f=3484349095651), 76157 (PASS: e=364, f=1213467362203), 76261 (PASS: e=2340, f=189535964687), 76471 (PASS: e=2790, f=160282499009), 76561 (PASS: e=55440, f=8094677867), 76631 (PASS: e=70, f=6428585713537), 76819 (PASS: e=3906, f=116057633093), 76963 (PASS: e=234, f=1948184603369), 77023 (PASS: e=4158, f=109894714577), 77029 (PASS: e=1764, f=259098082367), 77431 (PASS: e=8190, f=56684027821)

q = 77489 (PASS: e=3952, f=117734361559), 77527 (PASS: e=7182, f=64880402501), 77641 (PASS: e=2520, f=185726049161), 77711 (PASS: e=70, f=6704238453949), 77743 (PASS: e=4914, f=95619998879), 77983 (PASS: e=234, f=2026674288979), 78059 (PASS: e=266, f=1788081514133), 78101 (PASS: e=7700, f=61869849359), 78191 (PASS: e=70, f=6829238221741), 78233 (PASS: e=616, f=777301026421), 78311 (PASS: e=70, f=6860729068489), 78367 (PASS: e=1638, f=293822985749), 78439 (PASS: e=2142, f=225308034229), 78487 (PASS: e=666, f=725970476047), 78607 (PASS: e=4158, f=116815152649), 78691 (PASS: e=630, f=773454273799), 78737 (PASS: e=1456, f=335254962817), 78961 (PASS: e=5040, f=97680389567), 79153 (PASS: e=91728, f=5406300917), 79231 (PASS: e=1170, f=425108266567), 79427 (PASS: e=1178, f=425362487969), 79507 (PASS: e=378, f=1329610084489), 79561 (PASS: e=14040, f=35870182937), 79613 (PASS: e=364, f=1386278809339), 79633 (PASS: e=93744, f=5386860769), 79699 (PASS: e=1638, f=309061365671), 79801 (PASS: e=12600, f=40332436219), 79811 (PASS: e=70, f=7262568089839), 80077 (PASS: e=252, f=2037618346891), 80231 (PASS: e=490, f=1053975548911), 80287 (PASS: e=126, f=4107382477777)

q = 80761 (PASS: e=2520, f=209028027679), 81097 (PASS: e=85176, f=6261770197), 81509 (PASS: e=1148, f=471709699961), 81701 (PASS: e=63700, f=8561358523), 81853 (PASS: e=252, f=2176222335863), 81901 (PASS: e=245700, f=2235951901), 81929 (PASS: e=4312, f=127536416449), 82031 (PASS: e=130, f=4246104372583), 82171 (PASS: e=2970, f=186809633093), 82237 (PASS: e=2772, f=200635856741), 82279 (PASS: e=378, f=1473585075671), 82351 (PASS: e=52650, f=10607383147), 82361 (PASS: e=1160, f=481622584493), 82471 (PASS: e=630, f=890355062497), 82499 (PASS: e=182, f=3085138497239), 82651 (PASS: e=59850, f=9433659197), 82699 (PASS: e=1386, f=408072702293), 82891 (PASS: e=5670, f=100447487491), 83071 (PASS: e=1890, f=303309847919), 83221 (PASS: e=3420, f=168528239533), 83231 (PASS: e=70, f=8236776803077), 83267 (PASS: e=238, f=2425726298299), 83357 (PASS: e=364, f=1591200272803), 83383 (PASS: e=234, f=2477517276679), 83437 (PASS: e=3276, f=177309558527), 83521 (PASS: e=60480, f=9633304187), 83843 (PASS: e=154, f=3827187218689), 83869 (PASS: e=1764, f=334430450297), 84121 (PASS: e=2520, f=236217864803), 84191 (PASS: e=70, f=8525089831141), 84211 (PASS: e=630, f=947907423311)

q = 84319 (PASS: e=1638, f=365984290741), 84449 (PASS: e=2912, f=206819823479), 84457 (PASS: e=412776, f=1459461067), 84811 (PASS: e=990, f=616199522327), 84961 (PASS: e=30240, f=20280425357), 85027 (PASS: e=558, f=1101631560779), 85081 (PASS: e=4680, f=131598792433), 85607 (PASS: e=322, f=1948372370011), 85621 (PASS: e=114660, f=5474304491), 85627 (PASS: e=702, f=894324386591), 85933 (PASS: e=8316, f=76307186371), 86293 (PASS: e=38556, f=16666128701), 86389 (PASS: e=252, f=2558437427309), 86423 (PASS: e=266, f=2426645726951), 86461 (PASS: e=13860, f=46633448513), 86861 (PASS: e=860, f=762036938483), 86923 (PASS: e=4158, f=157950001927), 86951 (PASS: e=350, f=1878259952981), 87011 (PASS: e=70, f=9410754408319), 87187 (PASS: e=1386, f=478180622257), 87539 (PASS: e=154, f=4355961399817), 87631 (PASS: e=2070, f=325089511237), 87649 (PASS: e=22176, f=30363909173), 87917 (PASS: e=868, f=782886592309), 87991 (PASS: e=630, f=1081369735529), 88643 (PASS: e=182, f=3827030727383), 88771 (PASS: e=630, f=1110382956727), 88789 (PASS: e=1764, f=396806623987), 88819 (PASS: e=234, f=2994344607937), 89041 (PASS: e=5040, f=140068200773), 89231 (PASS: e=70, f=10149607324477)

q = 89261 (PASS: e=140, f=5079923922047), 89387 (PASS: e=154, f=4637696930413), 89431 (PASS: e=990, f=722485385101), 89443 (PASS: e=34398, f=20802037747), 89563 (PASS: e=198, f=3628446354427), 89611 (PASS: e=630, f=1142203329851), 89833 (PASS: e=6552, f=110645516693), 89917 (PASS: e=3276, f=221912380787), 89959 (PASS: e=1386, f=525255522223), 90067 (PASS: e=3978, f=183667499329), 90073 (PASS: e=176904, f=4130914729), 90121 (PASS: e=360, f=2033178485671), 90271 (PASS: e=4590, f=160262559689), 90481 (PASS: e=9360, f=79140051149), 90619 (PASS: e=9702, f=76700205179), 90631 (PASS: e=13230, f=56269165133), 90679 (PASS: e=2142, f=348097336189), 90731 (PASS: e=70, f=10670113829827), 90793 (PASS: e=2808, f=266538528457), 90931 (PASS: e=630, f=1193425607023), 91141 (PASS: e=8820, f=85836654571), 91387 (PASS: e=378, f=2019116893909), 91757 (PASS: e=364, f=2122346228503), 91771 (PASS: e=630, f=1226805863027), 91823 (PASS: e=434, f=1783876168799), 91841 (PASS: e=2240, f=345829306043), 92119 (PASS: e=234, f=3340656231287), 92401 (PASS: e=25200, f=31306136411), 92461 (PASS: e=3420, f=231126451979), 92569 (PASS: e=6552, f=121066176779), 92959 (PASS: e=234, f=3432878811667)

q = 93083 (PASS: e=154, f=5237094309109), 93131 (PASS: e=430, f=1878513598063), 93139 (PASS: e=45486, f=17763026563), 93187 (PASS: e=702, f=1152733407251), 93263 (PASS: e=182, f=4457144930453), 93377 (PASS: e=8512, f=95650696261), 93427 (PASS: e=234, f=3484988532673), 93523 (PASS: e=198, f=4131332013367), 93559 (PASS: e=882, f=928513299179), 93563 (PASS: e=266, f=3079149525581), 93703 (PASS: e=2898, f=283897851187), 93739 (PASS: e=1638, f=502859953811), 93871 (PASS: e=1890, f=437655639479), 93941 (PASS: e=1540, f=538325330803), 94327 (PASS: e=2394, f=350577403903), 94621 (PASS: e=1260, f=672344808131), 94693 (PASS: e=3276, f=259184922781), 95083 (PASS: e=1638, f=524801092147), 95239 (PASS: e=4158, f=207759071221), 95267 (PASS: e=182, f=4750683304391), 95629 (PASS: e=22932, f=38135277409), 95891 (PASS: e=130, f=6782506064869), 95911 (PASS: e=4410, f=200062949783), 96079 (PASS: e=1638, f=541466416301), 96223 (PASS: e=2394, f=372145295339), 96289 (PASS: e=2016, f=442832514973), 96331 (PASS: e=106470, f=8395971427), 96643 (PASS: e=4914, f=183685999829), 97003 (PASS: e=6426, f=142041345101), 97021 (PASS: e=291060, f=3137723821), 97301 (PASS: e=700, f=1315993884517)

q = 97441 (PASS: e=10080, f=91783510589), 97549 (PASS: e=2772, f=334869226609), 97613 (PASS: e=1196, f=777663653951), 97813 (PASS: e=8316, f=112531797781), 98047 (PASS: e=702, f=1342659278561), 98257 (PASS: e=1872, f=506739380011), 98347 (PASS: e=126, f=7549406397047), 98491 (PASS: e=4410, f=216646187797), 98627 (PASS: e=154, f=6229694483233), 98731 (PASS: e=3510, f=274191186539), 98779 (PASS: e=126, f=7649328825263), 98807 (PASS: e=266, f=3626448408887), 98809 (PASS: e=6552, f=147236546839), 98893 (PASS: e=756, f=1279307246201), 99139 (PASS: e=234, f=4164067341977), 99191 (PASS: e=70, f=13941797354641), 99349 (PASS: e=6084, f=161176341947), 99371 (PASS: e=190, f=5164465491799), 99551 (PASS: e=350, f=2818829685089), 99563 (PASS: e=2366, f=417137450231), 99577 (PASS: e=4536, f=217672751987), 99661 (PASS: e=13860, f=71418790573), 99667 (PASS: e=34398, f=28781999819), 99719 (PASS: e=182, f=5448316846769), 99721 (PASS: e=1080, f=918197528317), 100069 (PASS: e=252, f=3976473923129), 100153 (PASS: e=19656, f=51108924821), 100183 (PASS: e=774, f=1299095675489), 100207 (PASS: e=4914, f=204766557503), 100403 (PASS: e=238, f=4252683983827), 100621 (PASS: e=7020, f=145120503103)

q = 100669

PASS

e=252

f=4048430824279

q = 100999

PASS

e=1674

f=615454239727

q = 101281

PASS

e=1440

f=721475271091

q = 101333

PASS

e=2156

f=482618476481

q = 101383

PASS

e=1638

f=636182205097

q = 101641

PASS

e=2520

f=416683445761

q = 101917

PASS

e=756

f=1400290359077

q = 101929

PASS

e=85176

f=12433003313

q = 102001

PASS

e=1638000

f=647887187

q = 102079

PASS

e=702

f=1515207490369

q = 102139

PASS

e=126

f=8456764943743

q = 102259

PASS

e=702

f=1523237111339

q = 102337

PASS

e=52416

f=20447215247

q = 102397

PASS

e=3276

f=327731213347

q = 102677

PASS

e=364

f=2973843634513

q = 102701

PASS

e=700

f=1547483321683

q = 102763

PASS

e=1782

f=608979429803

q = 102953

PASS

e=952

f=1146251904913

q = 103049

PASS

e=616

f=1776440365303

q = 103177

PASS

e=19656

f=55879632947

q = 103231

PASS

e=1890

f=582061131151

q = 103483

PASS

e=4914

f=225513154249

q = 103561

PASS

e=4680

f=237324652211

q = 104053

PASS

e=468

f=2407232095207

q = 104347

PASS

e=7722

f=147133005101

q = 104471

PASS

e=130

f=8770894822147

q = 104479

PASS

e=1386

f=822855907283

q = 104551

PASS

e=7650

f=149390554091

q = 104659

PASS

e=1638

f=699867529831

q = 104773

PASS

e=252

f=4564020614833

q = 105211

PASS

e=1890

f=616199925137

q = 105277

PASS

e=3276

f=356169403507

q = 105361

PASS

e=5040

f=232064716897

q = 105491

PASS

e=770

f=1524598550501

q = 105667

PASS

e=1386

f=851245643417

q = 105751

PASS

e=47250

f=25029468971

q = 105883

PASS

e=126

f=9421242186511

q = 105907

PASS

e=11466

f=103600549937

q = 106331

PASS

e=3430

f=350498024683

q = 106373

PASS

e=532

f=2262468757363

q = 106591

PASS

e=6930

f=174754502999

q = 106661

PASS

e=140

f=8667401554877

q = 106681

PASS

e=2520

f=481793230087

q = 107071

PASS

e=1170

f=1049130987623

q = 107101

PASS

e=18900

f=65000810717

q = 107339

PASS

e=154

f=8030672477917

q = 107773

PASS

e=3276

f=382107905891

q = 107857

PASS

e=3024

f=414918904283

q = 107971

PASS

e=90

f=13985527827329

q = 108007

PASS

e=1638

f=769204493209

q = 108041

PASS

e=760

f=1659404232517

q = 108571

PASS

e=630

f=2031425802307

q = 108637

PASS

e=2772

f=462530170141

q = 108943

PASS

e=126

f=10261892152681

q = 108959

PASS

e=14

f=92397727615577

q = 108967

PASS

e=198

f=6534611803369

q = 108971

PASS

e=70

f=18485651828323

q = 108991

PASS

e=1890

f=685030814543

q = 109063

PASS

e=1674

f=774955679279

q = 109141

PASS

e=8820

f=147399225271

q = 109451

PASS

e=550

f=2383946539747

q = 109481

PASS

e=280

f=4686603747613

q = 109517

PASS

e=308

f=4264753158089

q = 110059

PASS

e=234

f=5697191662117

q = 110311

PASS

e=90

f=14914680533447

q = 110771

PASS

e=110

f=12356217489491

q = 110917

PASS

e=15876

f=85951459087

q = 110923

PASS

e=126

f=10831641451591

q = 110989

PASS

e=756

f=1808497946153

q = 111029

PASS

e=364

f=3760173645817

q = 111043

PASS

e=378

f=3622277843377

q = 111271

PASS

e=90

f=15307471652839

q = 111409

PASS

e=1008

f=1371829999991

q = 111731

PASS

e=70

f=19926132654727

q = 111827

PASS

e=154

f=9080699447833

q = 111919

PASS

e=414

f=3386188434697

q = 111997

PASS

e=38556

f=36435706687

q = 112111

PASS

e=1710

f=824040522353

q = 112121

PASS

e=280

f=5033879975527

q = 112291

PASS

e=630

f=2247472046759

q = 112361

PASS

e=280

f=5066274953221

q = 112691

PASS

e=370

f=3867817501501

q = 112771

PASS

e=1890

f=758805535709

q = 112927

PASS

e=2574

f=559480339993

q = 113023

PASS

e=14742

f=97936388573

q = 113209

PASS

e=1368

f=1060612558471

q = 113213

PASS

e=308

f=4711272015437

q = 113467

PASS

e=126

f=11594130182687

q = 113623

PASS

e=234

f=6268778113399

q = 113647

PASS

e=1638

f=896107331069

q = 113719

PASS

e=126

f=11671550432333

q = 113761

PASS

e=30240

f=48685363417

q = 113899

PASS

e=126

f=11727061108823

q = 114229

PASS

e=2052

f=726359746019

q = 114277

PASS

e=252

f=5922102930841

q = 114311

PASS

e=70

f=21338605380889

q = 114319

PASS

e=1134

f=1317474432737

q = 114451

PASS

e=3150

f=475935632659

q = 114493

PASS

e=252

f=5955747327703

q = 114599

PASS

e=154

f=9772861927687

q = 114643

PASS

e=12474

f=120791642569

q = 114973

PASS

e=396

f=3837888955771

q = 115117

PASS

e=252

f=6053657536931

q = 115303

PASS

e=198

f=7742061752137

q = 115327

PASS

e=2646

f=579699792317

q = 115363

PASS

e=702

f=2187069135523

q = 115553

PASS

e=2912

f=529849226723

q = 115663

PASS

e=126

f=12280408474121

q = 115831

PASS

e=187110

f=8305722529

q = 115873

PASS

e=34272

f=45394925153

q = 115891

PASS

e=1170

f=1330341898541

q = 115903

PASS

e=2646

f=588429167581

q = 115931

PASS

e=70

f=22258746635707

q = 115963

PASS

e=1386

f=1125110288861

q = 116047

PASS

e=1134

f=1378125277633

q = 116341

PASS

e=1260

f=1249763486857

q = 116351

PASS

e=350

f=4500308814833

q = 116359

PASS

e=198

f=7956732367961

q = 116437

PASS

e=468

f=3373084095439

q = 116461

PASS

e=3780

f=417878228381

q = 116689

PASS

e=20592

f=77159823329

q = 116791

PASS

e=90

f=17700503554463

q = 116953

PASS

e=5544

f=288543222629

q = 117041

PASS

e=560

f=2863030959107

q = 117371

PASS

e=70

f=23098531715083

q = 117503

PASS

e=1078

f=1504970903917

q = 117763

PASS

e=1638

f=997040235967

q = 117899

PASS

e=22

f=74491665369259

q = 118147

PASS

e=1638

f=1006825480319

q = 118219

PASS

e=306

f=5399336786593

q = 118457

PASS

e=104

f=15982652230673

q = 118471

PASS

e=990

f=1679581058789

q = 118549

PASS

e=5292

f=314828361569

q = 118603

PASS

e=378

f=4413622891117

q = 118669

PASS

e=396

f=4220040919223

q = 118681

PASS

e=6840

f=244392283511

q = 118687

PASS

e=126

f=13269021946577

q = 118901

PASS

e=1300

f=1293043600759

q = 119131

PASS

e=990

f=1707808486591

q = 119291

PASS

e=70

f=24250740125131

q = 119551

PASS

e=450

f=3797057079647

q = 119557

PASS

e=796068

f=2146717319

q = 119869

PASS

e=252

f=6834710221079

q = 120049

PASS

e=2736

f=632352947543

q = 120091

PASS

e=90

f=19243713132373

q = 120157

PASS

e=4284

f=404946610063

q = 120163

PASS

e=126

f=13770247374371

q = 120181

PASS

e=30420

f=57062163047

q = 120277

PASS

e=1404

f=1239311996933

q = 120319

PASS

e=198

f=8797057911221

q = 120331

PASS

e=1890

f=921872316521

q = 121081

PASS

e=2520

f=704413152847

q = 121171

PASS

e=630

f=2823940400767

q = 121291

PASS

e=630

f=2832338661659

q = 121507

PASS

e=1386

f=1294317027497

q = 121801

PASS

e=12600

f=143410852229

q = 121921

PASS

e=20160

f=89896963081

q = 122021

PASS

e=140

f=12977041810109

q = 122131

PASS

e=1890

f=963864388981

q = 122203

PASS

e=14742

f=123791035603

q = 122443

PASS

e=234

f=7844875000309

q = 122579

PASS

e=98

f=18794126533781

q = 122833

PASS

e=3024

f=612862981939

q = 123001

PASS

e=63000

f=29538291863

q = 123091

PASS

e=990

f=1883838660043

q = 123373

PASS

e=1404

f=1337498391379

q = 123433

PASS

e=504

f=3731327054809

q = 123581

PASS

e=260

f=7259083088969

q = 123701

PASS

e=700

f=2704092797773

q = 123821

PASS

e=260

f=7301457698141

q = 124021

PASS

e=3780

f=504654193667

q = 124087

PASS

e=558

f=3424085936069

q = 124147

PASS

e=6723486

f=284586427

q = 124231

PASS

e=630

f=3043332429553

q = 124471

PASS

e=5670

f=340111625633

q = 124567

PASS

e=126

f=15340463112637

q = 124679

PASS

e=182

f=10648993034609

q = 124753

PASS

e=3312

f=586222747073

q = 124783

PASS

e=126

f=15420402961561

q = 124819

PASS

e=126

f=15433753209883

q = 124951

PASS

e=22050

f=88472971667

q = 124987

PASS

e=126

f=15496156256927

q = 125063

PASS

e=182

f=10747690184753

q = 125107

PASS

e=342

f=5725569940351

omega(q^3 -1) = 9

(661 PEs, 632 which pass):

q = 9811

q = 10627

q = 14431

q = 14641

q = 15439

q = 19141

q = 20101

q = 22621

q = 23431

q = 24091

q = 26107

q = 27967

q = 28711

q = 32041

q = 32761

q = 33791

PASS

e=562030

f=68650489

q = 33931

q = 34981

q = 35863

q = 36871

q = 38011

q = 39209

PASS

e=8508136

f=7084723

q = 39341

PASS

e=34580

f=1760804729

q = 40231

q = 40387

PASS

e=2691234

f=24477853

q = 40471

q = 41603

PASS

e=62062

f=1160240923

q = 42331

q = 42571

q = 43891

q = 45763

PASS

e=902538

f=106188617

q = 46691

PASS

e=46690

f=2180096173

q = 46861

q = 49193

PASS

e=344344

f=345714349

q = 49331

PASS

e=17290

f=6943281361

q = 49939

PASS

e=69426

f=1793896493

q = 50311

PASS

e=1056510

f=120535573

q = 51151

q = 51307

PASS

e=529074

f=255278033

q = 51613

q = 51871

PASS

e=155610

f=896884171

q = 52441

PASS

e=1101240

f=130957663

q = 53629

PASS

e=196308

f=785707861

q = 54121

PASS

e=1136520

f=139482703

q = 54499

PASS

e=31122

f=5201134709

q = 54709

PASS

e=367164

f=445980877

q = 55639

PASS

e=349866

f=492307223

q = 55987

PASS

e=50778

f=3456097609

q = 56611

q = 56821

PASS

e=167580

f=1094723477

q = 57121

PASS

e=3255840

f=57243259

q = 57271

PASS

e=14490

f=12963907199

q = 58711

PASS

e=155610

f=1300531663

q = 59341

PASS

e=4897620

f=42665761

q = 59621

PASS

e=20020

f=10586044003

q = 59671

PASS

e=3401190

f=62468209

q = 60589

PASS

e=16540524

f=13447207

q = 60727

PASS

e=135198

f=1656438109

q = 62141

PASS

e=34580

f=6939205109

q = 62591

PASS

e=70070

f=3499480301

q = 62731

PASS

e=32130

f=7683089753

q = 63391

PASS

e=22230

f=11458910989

q = 64171

PASS

e=3955770

f=66801373

q = 64381

PASS

e=1132740

f=235582441

q = 65027

PASS

e=7462

f=36849017311

q = 65536

PASS

e=4095

f=68736258049

q = 69031

PASS

e=761670

f=431882537

q = 69169

PASS

e=1009008

f=327974351

q = 69709

PASS

e=744588

f=454936231

q = 70123

PASS

e=47502

f=7258879183

q = 70891

PASS

e=10710

f=33264717307

q = 71527

PASS

e=31122

f=11758245731

q = 71761

PASS

e=65520

f=5640161729

q = 71821

PASS

e=2800980

f=132264817

q = 71941

PASS

e=263340

f=1413880093

q = 72211

PASS

e=22230

f=16938330991

q = 72361

PASS

e=294840

f=1285071457

q = 72727

PASS

e=49266

f=7807998427

q = 73063

PASS

e=486486

f=801718961

q = 73141

PASS

e=53820

f=7270076621

q = 73693

PASS

e=186732

f=2143186483

q = 74101

PASS

e=222300

f=1830344101

q = 75931

PASS

e=83790

f=5224745831

q = 76729

PASS

e=124488

f=3628700501

q = 76781

PASS

e=2860

f=158268781639

q = 77191

PASS

e=19530

f=23550371279

q = 80089

PASS

e=307944

f=1668195197

q = 81181

PASS

e=540540

f=989772431

q = 81421

PASS

e=28980

f=18625627577

q = 82657

PASS

e=1493856

f=378033407

q = 83227

PASS

e=18018

f=31995296449

q = 83911

PASS

e=155610

f=3796812823

q = 84181

PASS

e=1494540

f=399148681

q = 85021

PASS

e=241020

f=2549914063

q = 85691

PASS

e=14630

f=43009194299

q = 86011

PASS

e=8190

f=77692319807

q = 87721

PASS

e=42840

f=15756554629

q = 88411

PASS

e=45990

f=15026419147

q = 88661

PASS

e=2860

f=243686709073

q = 89839

PASS

e=93366

f=7766153573

q = 91081

PASS

e=1081080

f=698916893

q = 91291

PASS

e=10710

f=71038604627

q = 91807

PASS

e=126126

f=6135115817

q = 92221

PASS

e=276660

f=2834935021

q = 92381

PASS

e=1820

f=433188171287

q = 93811

PASS

e=8190

f=100803913867

q = 94117

PASS

e=63756

f=13076248477

q = 94249

PASS

e=282744

f=2960989417

q = 94441

PASS

e=229320

f=3673159591

q = 94513

PASS

e=7433712

f=113571383

q = 95311

PASS

e=1031130

f=839683571

q = 95701

PASS

e=69300

f=12647835047

q = 95881

PASS

e=42840

f=20575396001

q = 96721

PASS

e=1244880

f=726833347

q = 96911

PASS

e=1430

f=636477693221

q = 96931

PASS

e=73710

f=12355538219

q = 97241

PASS

e=40040

f=22964351213

q = 98419

PASS

e=7254

f=131419343327

q = 99859

PASS

e=23562

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q = 101221

PASS

e=16380

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q = 101581

PASS

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q = 102181

PASS

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q = 102859

PASS

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q = 102911

PASS

e=910

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q = 103651

PASS

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f=4842694531

q = 104281

PASS

e=27720

f=40909327057

q = 104311

PASS

e=35910

f=31606391953

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PASS

e=6916

f=165235996903

q = 105673

PASS

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q = 106297

PASS

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f=9647960869

q = 106531

PASS

e=1170

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q = 107251

PASS

e=2252250

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q = 107881

PASS

e=73080

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q = 108439

PASS

e=42966

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q = 108631

PASS

e=59670

f=21483512777

q = 108791

PASS

e=770

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q = 108917

PASS

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f=95936507509

q = 109561

PASS

e=27720

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q = 109741

PASS

e=1913940

f=690523433

q = 110581

PASS

e=16380

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q = 110587

PASS

e=31122

f=43455498041

q = 111973

PASS

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q = 113051

PASS

e=77350

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q = 114343

PASS

e=5814

f=257130574529

q = 114571

PASS

e=35910

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q = 114601

PASS

e=390600

f=3853301423

q = 114661

PASS

e=343980

f=4382419861

q = 116923

PASS

e=1638

f=975856484507

q = 117133

PASS

e=3276

f=490562003111

q = 117541

PASS

e=71820

f=22611154781

q = 117811

PASS

e=353430

f=4626516511

q = 117991

PASS

e=200070

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q = 119191

PASS

e=18270

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q = 119417

PASS

e=14168

f=120195974159

q = 119851

PASS

e=53550

f=32148855071

q = 120103

PASS

e=1638

f=1057663870777

q = 120121

PASS

e=27720

f=62526423973

q = 120409

PASS

e=6552

f=266442168739

q = 121867

PASS

e=2394

f=756021618973

q = 122027

PASS

e=442

f=4110981608221

q = 122599

PASS

e=653562

f=2819512279

q = 122761

PASS

e=83160

f=22246760113

q = 122827

PASS

e=2574

f=719901354943

q = 123631

PASS

e=8190

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q = 124121

PASS

e=8120

f=235493957663

q = 124609

PASS

e=842688

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q = 125141

PASS

e=1820

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q = 125641

PASS

e=14040

f=141262551193

q = 125791

PASS

e=8190

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PASS

e=11466

f=176542527353

q = 126547

PASS

e=2394

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q = 127843

PASS

e=18018

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q = 128437

PASS

e=2772

f=764323535191

q = 128983

PASS

e=2394

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q = 130531

PASS

e=11970

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q = 131011

PASS

e=990

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q = 131101

PASS

e=222300

f=10136278871

q = 131371

PASS

e=18270

f=124096624903

q = 131413

PASS

e=3276

f=692741325721

q = 131639

PASS

e=3458

f=659673038771

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PASS

e=180180

f=13348210973

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PASS

e=602784

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PASS

e=2844072

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PASS

e=21420

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PASS

e=49140

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q = 138517

PASS

e=81396

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q = 139591

PASS

e=62370

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q = 139981

PASS

e=1260

f=2176891231439

q = 140009

PASS

e=22792

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PASS

e=2948400

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PASS

e=55692

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PASS

e=2809170

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PASS

e=2142

f=1299221234459

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PASS

e=770

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PASS

e=44460

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q = 142711

PASS

e=630

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q = 143551

PASS

e=727650

f=4065333071

q = 143651

PASS

e=59150

f=50115401243

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PASS

e=9828

f=301784274769

q = 144439

PASS

e=1638

f=1839668285761

q = 145399

PASS

e=1386

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PASS

e=8190

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q = 145531

PASS

e=73783710

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PASS

e=65520

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q = 146077

PASS

e=101556

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q = 146521

PASS

e=83160

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q = 147397

PASS

e=17316

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q = 148171

PASS

e=6930

f=469414392497

q = 148201

PASS

e=163800

f=19871905117

q = 148411

PASS

e=24570

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q = 148471

PASS

e=4410

f=742140805871

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PASS

e=9724

f=339178117549

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PASS

e=182

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q = 148891

PASS

e=11970

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PASS

e=910

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PASS

e=1170

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PASS

e=11970

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q = 150061

PASS

e=46620

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PASS

e=2660

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q = 151531

PASS

e=8190

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q = 151537

PASS

e=144144

f=24141235133

q = 152077

PASS

e=5664204

f=620942983

q = 152791

PASS

e=6930

f=514707012619

q = 154591

PASS

e=1710

f=2160511135817

q = 155731

PASS

e=11970

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q = 156307

PASS

e=3906

f=977694212357

q = 156913

PASS

e=13104

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q = 157483

PASS

e=4914

f=794814691249

q = 157543

PASS

e=198198

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q = 157609

PASS

e=16632

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q = 160591

PASS

e=4410

f=939128494627

q = 160861

PASS

e=1260

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q = 162527

PASS

e=3458

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PASS

e=25974

f=166264852253

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PASS

e=25740

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q = 163307

PASS

e=2002

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PASS

e=910

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PASS

e=41580

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q = 164581

PASS

e=16380

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q = 165083

PASS

e=3458

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q = 165463

PASS

e=26334

f=172022736269

q = 166871

PASS

e=1430

f=3249425379017

q = 167269

PASS

e=13356

f=350404739093

q = 167281

PASS

e=85680

f=54633671903

q = 167491

PASS

e=1890

f=2486065818493

q = 167911

PASS

e=8190

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q = 168037

PASS

e=2772

f=1711675885291

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PASS

e=40950

f=116103271481

q = 168499

PASS

e=79002

f=60555542249

q = 168541

PASS

e=114660

f=41754641737

q = 169003

PASS

e=4914

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q = 169471

PASS

e=24570

f=198098423723

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PASS

e=95760

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q = 170347

PASS

e=1386

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q = 171811

PASS

e=3510

f=1444926580423

q = 172721

PASS

e=17680

f=291442692577

q = 173191

PASS

e=14490

f=358515200663

q = 173531

PASS

e=2590

f=2017583160031

q = 173707

PASS

e=1638

f=3199912200259

q = 173741

PASS

e=1820

f=2881612388411

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PASS

e=96824

f=54989091863

q = 174631

PASS

e=630

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PASS

e=2618

f=2035182059921

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PASS

e=572

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q = 175067

PASS

e=3094

f=1734173555923

q = 175961

PASS

e=8680

f=627667351501

q = 176023

PASS

e=54054

f=100897502929

q = 176353

PASS

e=22176

f=247323476801

q = 176551

PASS

e=34650

f=158820773351

q = 176887

PASS

e=4914

f=1126296143243

q = 177043

PASS

e=4446

f=1248150117611

q = 177739

PASS

e=1386

f=4051211967413

q = 177811

PASS

e=630

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q = 178069

PASS

e=7524

f=750440341667

q = 178621

PASS

e=16380

f=347923410487

q = 178831

PASS

e=171990

f=33252570181

q = 178987

PASS

e=591318

f=9697133339

q = 179719

PASS

e=1386

f=4188116462303

q = 179827

PASS

e=2142

f=2714846198171

q = 180391

PASS

e=8190

f=716738439013

q = 181717

PASS

e=3276

f=1831651230137

q = 182029

PASS

e=2772

f=2175847852529

q = 182711

PASS

e=8470

f=720129618169

q = 183091

PASS

e=1530

f=4011525518969

q = 183661

PASS

e=1260

f=4916774480503

q = 184003

PASS

e=1638

f=3803302020127

q = 184843

PASS

e=44226

f=142801037881

q = 185371

PASS

e=11970

f=532146521873

q = 185441

PASS

e=14560

f=437981641327

q = 185761

PASS

e=90720

f=70657876189

q = 186163

PASS

e=4446

f=1451144461051

q = 186871

PASS

e=1170

f=5577503701243

q = 188021

PASS

e=2380

f=2792814672577

q = 188171

PASS

e=910

f=7321780185631

q = 188491

PASS

e=630

f=10629952063579

q = 188791

PASS

e=11970

f=562146757811

q = 189061

PASS

e=3420

f=1975967266969

q = 189421

PASS

e=13860

f=490366897061

q = 189463

PASS

e=1638

f=4152018996017

q = 190159

PASS

e=2394

f=2872278243187

q = 190271

PASS

e=11830

f=582281587597

q = 190577

PASS

e=2128

f=3252668731969

q = 190843

PASS

e=1638

f=4243408161787

q = 192091

PASS

e=8190

f=865440371503

q = 192271

PASS

e=8190

f=867875549929

q = 192557

PASS

e=364

f=19614468736903

q = 192611

PASS

e=1430

f=4996975505591

q = 193261

PASS

e=2340

f=3084727532837

q = 193573

PASS

e=9828

f=738021807247

q = 194671

PASS

e=73710

f=100086930001

q = 196387

PASS

e=1638

f=4624069046479

q = 196543

PASS

e=4914

f=1545032396279

q = 196751

PASS

e=22750

f=334787661721

q = 196771

PASS

e=8190

f=930249352579

q = 196879

PASS

e=1386

f=5505984115483

q = 197161

PASS

e=4680

f=1637635271471

q = 197383

PASS

e=2394

f=3212218584119

q = 198901

PASS

e=596700

f=13187268901

q = 199831

PASS

e=630

f=12666249415513

q = 201031

PASS

e=1710

f=4751087059949

q = 201401

PASS

e=26600

f=307116557537

q = 201451

PASS

e=5850

f=1397501930861

q = 201919

PASS

e=1638

f=5025944202341

q = 202063

PASS

e=2142

f=3851597741113

q = 202309

PASS

e=3276

f=2527561416053

q = 202471

PASS

e=19890

f=417305107699

q = 202567

PASS

e=11466

f=724926793007

q = 202621

PASS

e=25740

f=323180256019

q = 202931

PASS

e=910

f=9183406193539

q = 203011

PASS

e=8190

f=1021585710707

q = 203459

PASS

e=182

f=46276374694679

q = 203641

PASS

e=32760

f=257781513947

q = 203953

PASS

e=13104

f=647420443819

q = 204481

PASS

e=60480

f=141366692993

q = 204511

PASS

e=1530

f=5590602135611

q = 206233

PASS

e=17784

f=493224939679

q = 206651

PASS

e=31850

f=277078671677

q = 206917

PASS

e=3276

f=2704236226037

q = 207197

PASS

e=4004

f=2221551165593

q = 208511

PASS

e=2030

f=4465713687161

q = 208627

PASS

e=2574

f=3527792207843

q = 208891

PASS

e=20790

f=438434476243

q = 208931

PASS

e=1190

f=7664109258671

q = 209353

PASS

e=72072

f=127312484083

q = 209581

PASS

e=1260

f=7306092722119

q = 209647

PASS

e=4914

f=1875127505023

q = 210491

PASS

e=70

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q = 210631

PASS

e=630

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q = 211051

PASS

e=122850

f=76522135609

q = 212293

PASS

e=9828

f=973513268327

q = 212521

PASS

e=27720

f=346267974383

q = 212851

PASS

e=103950

f=92768939299

q = 213467

PASS

e=154

f=63164275517653

q = 213533

PASS

e=836

f=11646320233601

q = 213901

PASS

e=6300

f=1553452203059

q = 214141

PASS

e=454860

f=21588463427

q = 214369

PASS

e=22176

f=444224731133

q = 214831

PASS

e=20790

f=476909925061

q = 215471

PASS

e=6370

f=1570460614903

q = 215737

PASS

e=9576

f=1048551505777

q = 216037

PASS

e=23868

f=422443258889

q = 216661

PASS

e=16380

f=620909539781

q = 216841

PASS

e=32760

f=311229181957

q = 217057

PASS

e=445536

f=22952954047

q = 217771

PASS

e=10710

f=964296666331

q = 218089

PASS

e=19656

f=527723142503

q = 218131

PASS

e=6930

f=1497679676413

q = 220243

PASS

e=1386

f=7708024954321

q = 220333

PASS

e=3276

f=3265086942511

q = 220879

PASS

e=4914

f=2192946972367

q = 221671

PASS

e=5670

f=1921071736313

q = 222041

PASS

e=3640

f=3007448091103

q = 222877

PASS

e=14364

f=770762121863

q = 224071

PASS

e=6930

f=1623393199987

q = 224197

PASS

e=4284

f=2630509828033

q = 224527

PASS

e=2898

f=3905776064959

q = 225157

PASS

e=4788

f=2383977864859

q = 225457

PASS

e=11088

f=1033565380909

q = 225871

PASS

e=57330

f=201001585007

q = 225941

PASS

e=1540

f=7489699940203

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PASS

e=2574

f=4495431016189

q = 226201

PASS

e=23400

f=494615479829

q = 226381

PASS

e=679140

f=17082861181

q = 226487

PASS

e=182

f=63834939297161

q = 226601

PASS

e=15400

f=755552671387

q = 227089

PASS

e=57456

f=203822866853

q = 227371

PASS

e=6930

f=1696180167617

q = 227893

PASS

e=3276

f=3612842785681

q = 228619

PASS

e=13338

f=895872590141

q = 228901

PASS

e=6300

f=1903717580209

q = 229373

PASS

e=308

f=39181058806877

q = 229399

PASS

e=11466

f=1052840599303

q = 229849

PASS

e=6552

f=1853335169299

q = 230101

PASS

e=81900

f=148755015137

q = 230861

PASS

e=2380

f=5169812121751

q = 230959

PASS

e=14742

f=835695886709

q = 231241

PASS

e=6840

f=1807750185253

q = 231331

PASS

e=6930

f=1786357061333

q = 231547

PASS

e=4662

f=2662840822931

q = 231877

PASS

e=29484

f=422850273773

q = 232381

PASS

e=3780

f=3319785692953

q = 233683

PASS

e=2142

f=5957470380683

q = 234571

PASS

e=630

f=20487190626907

q = 235621

PASS

e=540540

f=24199932089

q = 236063

PASS

e=1274

f=10325577201179

q = 236219

PASS

e=182

f=72422429884019

q = 236329

PASS

e=9576

f=1378373498563

q = 236681

PASS

e=3640

f=3642409776541

q = 236947

PASS

e=1638

f=8121565400519

q = 237547

PASS

e=35154

f=381306230593

q = 238261

PASS

e=13860

f=975878276203

q = 238267

PASS

e=63882

f=211745010541

q = 238291

PASS

e=106470

f=127085401511

q = 238423

PASS

e=4446

f=3048421292621

q = 238681

PASS

e=294840

f=46117647311

q = 239731

PASS

e=630

f=21869156953103

q = 239779

PASS

e=4158

f=3315499363811

q = 240319

PASS

e=63882

f=217263024019

q = 240997

PASS

e=3276

f=4272587996797

q = 241363

PASS

e=13662

f=1029195324683

q = 241567

PASS

e=1638

f=8605952014549

q = 241639

PASS

e=7038

f=2004711246661

q = 241861

PASS

e=212940

f=66441630677

q = 242491

PASS

e=630

f=22633218912979

q = 242789

PASS

e=364

f=39317476454437

q = 243343

PASS

e=4158

f=3465549357257

q = 243781

PASS

e=3060

f=4734543772859

q = 243871

PASS

e=990

f=14650258330369

q = 244351

PASS

e=4791150

f=3045107257

q = 244721

PASS

e=7280

f=2013178745387

q = 244843

PASS

e=1638

f=8960849412787

q = 245149

PASS

e=4788

f=3077061924821

q = 245411

PASS

e=110

f=134366000466923

q = 246187

PASS

e=41958

f=355615408019

q = 247391

PASS

e=770

f=19663506365711

q = 247501

PASS

e=5197500

f=2916999643

q = 247711

PASS

e=8190

f=1855888906897

q = 248161

PASS

e=110880

f=137831148281

q = 248179

PASS

e=1638

f=9332138884151

q = 248473

PASS

e=25704

f=596811108629

q = 248641

PASS

e=262080

f=58652206009

q = 249419

PASS

e=182

f=85254480629819

q = 249811

PASS

e=6930

f=2249579983261

q = 250279

PASS

e=1638

f=9571044507001

q = 251287

PASS

e=3906

f=4062354559267

q = 251533

PASS

e=29484

f=539757280879

q = 251941

PASS

e=16380

f=976298560649

q = 252359

PASS

e=182

f=88304941144529

q = 252391

PASS

e=1170

f=13741550281891

q = 252541

PASS

e=49140

f=327763459853

q = 252583

PASS

e=1386

f=11626503355151

q = 253243

PASS

e=4158

f=3905960652607

q = 253423

PASS

e=14742

f=1104032037973

q = 254041

PASS

e=2520

f=6505952678171

q = 254887

PASS

e=5382

f=3076800685961

q = 255641

PASS

e=3080

f=5424263851409

q = 256561

PASS

e=5040

f=3350745033787

q = 257611

PASS

e=401310

f=42600356023

q = 258421

PASS

e=1260

f=13696602850121

q = 259081

PASS

e=17640

f=985843808471

q = 261223

PASS

e=1638

f=10882291146457

q = 262781

PASS

e=140

f=129614577126611

q = 263411

PASS

e=70

f=261098081787079

q = 263911

PASS

e=630

f=29176414985281

q = 264301

PASS

e=6300

f=2930595439883

q = 264871

PASS

e=94770

f=196079573203

q = 265241

PASS

e=280

f=66644442369259

q = 265621

PASS

e=3420

f=5479754678093

q = 265781

PASS

e=260

f=72210182962979

q = 266003

PASS

e=814

f=23122521881059

q = 266047

PASS

e=5742

f=3279532281241

q = 266891

PASS

e=70

f=271583728748371

q = 267829

PASS

e=2772

f=6930739463479

q = 267901

PASS

e=308700

f=62285416751

q = 268291

PASS

e=20790

f=928889007223

q = 268531

PASS

e=630

f=30735673775183

q = 269887

PASS

e=2394

f=8211485898683

q = 270799

PASS

e=15246

f=1302522557713

q = 270841

PASS

e=17640

f=1126275521113

q = 271273

PASS

e=18648

f=1070501919317

q = 271499

PASS

e=406

f=49292253051883

q = 272407

PASS

e=126

f=160429505563517

q = 272581

PASS

e=13860

f=1461246591479

q = 273529

PASS

e=19656

f=1041154042573

q = 274171

PASS

e=8190

f=2516405620159

q = 275881

PASS

e=304920

f=68861973277

q = 276019

PASS

e=1638

f=12838167479191

q = 276901

PASS

e=6300

f=3370024227089

q = 277531

PASS

e=6930

f=3084617136553

q = 277657

PASS

e=6552

f=3267021496171

q = 278611

PASS