Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [75,3,Mod(14,75)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(75, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 3]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("75.14");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 75 = 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 75.h (of order \(10\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.04360198270\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 14.15 | ||
Character | \(\chi\) | \(=\) | 75.14 |
Dual form | 75.3.h.a.59.15 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/75\mathbb{Z}\right)^\times\).
\(n\) | \(26\) | \(52\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{3}{10}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.05424 | − | 1.49250i | 1.02712 | − | 0.746248i | 0.0593914 | − | 0.998235i | \(-0.481084\pi\) |
0.967731 | + | 0.251987i | \(0.0810840\pi\) | |||||||
\(3\) | 2.06574 | − | 2.17548i | 0.688581 | − | 0.725159i | ||||
\(4\) | 0.756307 | − | 2.32767i | 0.189077 | − | 0.581919i | ||||
\(5\) | −4.44388 | − | 2.29172i | −0.888775 | − | 0.458343i | ||||
\(6\) | 0.996648 | − | 7.55208i | 0.166108 | − | 1.25868i | ||||
\(7\) | 6.97211i | 0.996016i | 0.867172 | + | 0.498008i | \(0.165935\pi\) | ||||
−0.867172 | + | 0.498008i | \(0.834065\pi\) | |||||||
\(8\) | 1.21820 | + | 3.74924i | 0.152275 | + | 0.468655i | ||||
\(9\) | −0.465411 | − | 8.98796i | −0.0517124 | − | 0.998662i | ||||
\(10\) | −12.5492 | + | 1.92472i | −1.25492 | + | 0.192472i | ||||
\(11\) | 7.98507 | + | 10.9905i | 0.725915 | + | 0.999136i | 0.999307 | + | 0.0372335i | \(0.0118545\pi\) |
−0.273392 | + | 0.961903i | \(0.588145\pi\) | |||||||
\(12\) | −3.50147 | − | 6.45371i | −0.291789 | − | 0.537809i | ||||
\(13\) | 0.259763 | − | 0.357533i | 0.0199818 | − | 0.0275026i | −0.798909 | − | 0.601452i | \(-0.794589\pi\) |
0.818891 | + | 0.573949i | \(0.194589\pi\) | |||||||
\(14\) | 10.4058 | + | 14.3224i | 0.743275 | + | 1.02303i | ||||
\(15\) | −14.1655 | + | 4.93346i | −0.944366 | + | 0.328897i | ||||
\(16\) | 16.0184 | + | 11.6380i | 1.00115 | + | 0.727376i | ||||
\(17\) | −7.94771 | − | 24.4605i | −0.467512 | − | 1.43885i | −0.855795 | − | 0.517314i | \(-0.826932\pi\) |
0.388283 | − | 0.921540i | \(-0.373068\pi\) | |||||||
\(18\) | −14.3706 | − | 17.7688i | −0.798364 | − | 0.987158i | ||||
\(19\) | −3.70606 | − | 11.4061i | −0.195056 | − | 0.600320i | −0.999976 | − | 0.00693679i | \(-0.997792\pi\) |
0.804920 | − | 0.593383i | \(-0.202208\pi\) | |||||||
\(20\) | −8.69531 | + | 8.61066i | −0.434765 | + | 0.430533i | ||||
\(21\) | 15.1677 | + | 14.4026i | 0.722271 | + | 0.685838i | ||||
\(22\) | 32.8065 | + | 10.6595i | 1.49121 | + | 0.484522i | ||||
\(23\) | −19.1473 | + | 13.9113i | −0.832491 | + | 0.604840i | −0.920263 | − | 0.391300i | \(-0.872025\pi\) |
0.0877718 | + | 0.996141i | \(0.472025\pi\) | |||||||
\(24\) | 10.6729 | + | 5.09479i | 0.444703 | + | 0.212283i | ||||
\(25\) | 14.4961 | + | 20.3682i | 0.579843 | + | 0.814729i | ||||
\(26\) | − | 1.12216i | − | 0.0431599i | ||||||
\(27\) | −20.5145 | − | 17.5543i | −0.759797 | − | 0.650160i | ||||
\(28\) | 16.2288 | + | 5.27306i | 0.579600 | + | 0.188324i | ||||
\(29\) | −32.2785 | − | 10.4879i | −1.11305 | − | 0.361653i | −0.305941 | − | 0.952051i | \(-0.598971\pi\) |
−0.807112 | + | 0.590398i | \(0.798971\pi\) | |||||||
\(30\) | −21.7362 | + | 31.2765i | −0.724540 | + | 1.04255i | ||||
\(31\) | 7.00881 | + | 21.5709i | 0.226091 | + | 0.695835i | 0.998179 | + | 0.0603203i | \(0.0192122\pi\) |
−0.772088 | + | 0.635515i | \(0.780788\pi\) | |||||||
\(32\) | 34.5066 | 1.07833 | ||||||||
\(33\) | 40.4047 | + | 5.33221i | 1.22438 | + | 0.161582i | ||||
\(34\) | −52.8338 | − | 38.3860i | −1.55393 | − | 1.12900i | ||||
\(35\) | 15.9781 | − | 30.9832i | 0.456517 | − | 0.885234i | ||||
\(36\) | −21.2730 | − | 5.71433i | −0.590918 | − | 0.158731i | ||||
\(37\) | −24.1765 | + | 33.2760i | −0.653418 | + | 0.899353i | −0.999241 | − | 0.0389470i | \(-0.987600\pi\) |
0.345823 | + | 0.938300i | \(0.387600\pi\) | |||||||
\(38\) | −24.6367 | − | 17.8996i | −0.648333 | − | 0.471042i | ||||
\(39\) | −0.241202 | − | 1.30368i | −0.00618467 | − | 0.0334277i | ||||
\(40\) | 3.17866 | − | 19.4529i | 0.0794664 | − | 0.486323i | ||||
\(41\) | −11.1774 | + | 15.3843i | −0.272619 | + | 0.375227i | −0.923272 | − | 0.384148i | \(-0.874495\pi\) |
0.650653 | + | 0.759375i | \(0.274495\pi\) | |||||||
\(42\) | 52.6539 | + | 6.94875i | 1.25367 | + | 0.165446i | ||||
\(43\) | − | 40.7478i | − | 0.947623i | −0.880626 | − | 0.473811i | \(-0.842878\pi\) | ||
0.880626 | − | 0.473811i | \(-0.157122\pi\) | |||||||
\(44\) | 31.6215 | − | 10.2744i | 0.718670 | − | 0.233510i | ||||
\(45\) | −18.5296 | + | 41.0080i | −0.411769 | + | 0.911288i | ||||
\(46\) | −18.5706 | + | 57.1545i | −0.403709 | + | 1.24249i | ||||
\(47\) | 7.83781 | − | 24.1223i | 0.166762 | − | 0.513240i | −0.832400 | − | 0.554175i | \(-0.813034\pi\) |
0.999162 | + | 0.0409351i | \(0.0130337\pi\) | |||||||
\(48\) | 58.4081 | − | 10.8064i | 1.21683 | − | 0.225134i | ||||
\(49\) | 0.389632 | 0.00795167 | ||||||||
\(50\) | 60.1779 | + | 20.2060i | 1.20356 | + | 0.404119i | ||||
\(51\) | −69.6313 | − | 33.2391i | −1.36532 | − | 0.651747i | ||||
\(52\) | −0.635761 | − | 0.875050i | −0.0122262 | − | 0.0168279i | ||||
\(53\) | 22.0806 | − | 67.9572i | 0.416616 | − | 1.28221i | −0.494182 | − | 0.869358i | \(-0.664532\pi\) |
0.910798 | − | 0.412853i | \(-0.135468\pi\) | |||||||
\(54\) | −68.3416 | − | 5.44301i | −1.26559 | − | 0.100797i | ||||
\(55\) | −10.2975 | − | 67.1399i | −0.187228 | − | 1.22073i | ||||
\(56\) | −26.1401 | + | 8.49344i | −0.466788 | + | 0.151668i | ||||
\(57\) | −32.4694 | − | 15.4996i | −0.569639 | − | 0.271922i | ||||
\(58\) | −81.9612 | + | 26.6308i | −1.41312 | + | 0.459152i | ||||
\(59\) | −16.0556 | + | 22.0987i | −0.272129 | + | 0.374554i | −0.923107 | − | 0.384543i | \(-0.874359\pi\) |
0.650978 | + | 0.759097i | \(0.274359\pi\) | |||||||
\(60\) | 0.770021 | + | 36.7039i | 0.0128337 | + | 0.611731i | ||||
\(61\) | 77.8653 | − | 56.5725i | 1.27648 | − | 0.927418i | 0.277040 | − | 0.960858i | \(-0.410647\pi\) |
0.999441 | + | 0.0334407i | \(0.0106465\pi\) | |||||||
\(62\) | 46.5923 | + | 33.8513i | 0.751488 | + | 0.545988i | ||||
\(63\) | 62.6651 | − | 3.24490i | 0.994684 | − | 0.0515064i | ||||
\(64\) | 6.81151 | − | 4.94885i | 0.106430 | − | 0.0773258i | ||||
\(65\) | −1.97372 | + | 0.993530i | −0.0303649 | + | 0.0152851i | ||||
\(66\) | 90.9594 | − | 49.3502i | 1.37817 | − | 0.747730i | ||||
\(67\) | 92.0681 | − | 29.9148i | 1.37415 | − | 0.446489i | 0.473409 | − | 0.880843i | \(-0.343023\pi\) |
0.900742 | + | 0.434354i | \(0.143023\pi\) | |||||||
\(68\) | −62.9471 | −0.925692 | ||||||||
\(69\) | −9.28961 | + | 70.3918i | −0.134632 | + | 1.02017i | ||||
\(70\) | −13.4194 | − | 87.4943i | −0.191705 | − | 1.24992i | ||||
\(71\) | 15.2176 | + | 4.94450i | 0.214333 | + | 0.0696409i | 0.414215 | − | 0.910179i | \(-0.364056\pi\) |
−0.199883 | + | 0.979820i | \(0.564056\pi\) | |||||||
\(72\) | 33.1310 | − | 12.6941i | 0.460153 | − | 0.176307i | ||||
\(73\) | −23.6157 | − | 32.5042i | −0.323502 | − | 0.445263i | 0.616030 | − | 0.787723i | \(-0.288740\pi\) |
−0.939533 | + | 0.342460i | \(0.888740\pi\) | |||||||
\(74\) | 104.440i | 1.41136i | ||||||||
\(75\) | 74.2558 | + | 10.5396i | 0.990077 | + | 0.140528i | ||||
\(76\) | −29.3526 | −0.386218 | ||||||||
\(77\) | −76.6270 | + | 55.6728i | −0.995156 | + | 0.723023i | ||||
\(78\) | −2.44123 | − | 2.31809i | −0.0312978 | − | 0.0297191i | ||||
\(79\) | −3.55591 | + | 10.9440i | −0.0450115 | + | 0.138531i | −0.971037 | − | 0.238931i | \(-0.923203\pi\) |
0.926025 | + | 0.377462i | \(0.123203\pi\) | |||||||
\(80\) | −44.5125 | − | 88.4274i | −0.556407 | − | 1.10534i | ||||
\(81\) | −80.5668 | + | 8.36620i | −0.994652 | + | 0.103286i | ||||
\(82\) | 48.2853i | 0.588845i | ||||||||
\(83\) | 9.61536 | + | 29.5930i | 0.115848 | + | 0.356543i | 0.992123 | − | 0.125268i | \(-0.0399792\pi\) |
−0.876275 | + | 0.481811i | \(0.839979\pi\) | |||||||
\(84\) | 44.9960 | − | 24.4126i | 0.535667 | − | 0.290627i | ||||
\(85\) | −20.7380 | + | 126.913i | −0.243976 | + | 1.49310i | ||||
\(86\) | −60.8159 | − | 83.7059i | −0.707162 | − | 0.973324i | ||||
\(87\) | −89.4954 | + | 48.5559i | −1.02868 | + | 0.558114i | ||||
\(88\) | −31.4786 | + | 43.3265i | −0.357711 | + | 0.492347i | ||||
\(89\) | 35.6526 | + | 49.0716i | 0.400591 | + | 0.551367i | 0.960892 | − | 0.276923i | \(-0.0893145\pi\) |
−0.560301 | + | 0.828289i | \(0.689315\pi\) | |||||||
\(90\) | 23.1398 | + | 111.896i | 0.257109 | + | 1.24329i | ||||
\(91\) | 2.49276 | + | 1.81110i | 0.0273930 | + | 0.0199022i | ||||
\(92\) | 17.8998 | + | 55.0899i | 0.194563 | + | 0.598803i | ||||
\(93\) | 61.4054 | + | 29.3124i | 0.660273 | + | 0.315187i | ||||
\(94\) | −19.9017 | − | 61.2510i | −0.211720 | − | 0.651606i | ||||
\(95\) | −9.67024 | + | 59.1804i | −0.101792 | + | 0.622952i | ||||
\(96\) | 71.2817 | − | 75.0683i | 0.742518 | − | 0.781962i | ||||
\(97\) | −125.919 | − | 40.9136i | −1.29813 | − | 0.421789i | −0.423202 | − | 0.906035i | \(-0.639094\pi\) |
−0.874932 | + | 0.484246i | \(0.839094\pi\) | |||||||
\(98\) | 0.800399 | − | 0.581524i | 0.00816734 | − | 0.00593392i | ||||
\(99\) | 95.0658 | − | 76.8845i | 0.960261 | − | 0.776612i | ||||
\(100\) | 58.3741 | − | 18.3375i | 0.583741 | − | 0.183375i | ||||
\(101\) | 182.040i | 1.80238i | 0.433423 | + | 0.901191i | \(0.357306\pi\) | ||||
−0.433423 | + | 0.901191i | \(0.642694\pi\) | |||||||
\(102\) | −192.649 | + | 35.6431i | −1.88871 | + | 0.349443i | ||||
\(103\) | 33.2817 | + | 10.8139i | 0.323123 | + | 0.104989i | 0.466087 | − | 0.884739i | \(-0.345663\pi\) |
−0.142964 | + | 0.989728i | \(0.545663\pi\) | |||||||
\(104\) | 1.65692 | + | 0.538366i | 0.0159319 | + | 0.00517660i | ||||
\(105\) | −34.3966 | − | 98.7634i | −0.327587 | − | 0.940604i | ||||
\(106\) | −56.0668 | − | 172.556i | −0.528932 | − | 1.62789i | ||||
\(107\) | 142.508 | 1.33185 | 0.665925 | − | 0.746018i | \(-0.268037\pi\) | ||||
0.665925 | + | 0.746018i | \(0.268037\pi\) | |||||||
\(108\) | −56.3760 | + | 34.4747i | −0.522000 | + | 0.319210i | ||||
\(109\) | 116.368 | + | 84.5460i | 1.06759 | + | 0.775651i | 0.975478 | − | 0.220097i | \(-0.0706375\pi\) |
0.0921144 | + | 0.995748i | \(0.470637\pi\) | |||||||
\(110\) | −121.360 | − | 122.553i | −1.10327 | − | 1.11412i | ||||
\(111\) | 22.4490 | + | 121.335i | 0.202243 | + | 1.09311i | ||||
\(112\) | −81.1416 | + | 111.682i | −0.724478 | + | 0.997159i | ||||
\(113\) | −58.5612 | − | 42.5472i | −0.518240 | − | 0.376524i | 0.297700 | − | 0.954659i | \(-0.403780\pi\) |
−0.815941 | + | 0.578136i | \(0.803780\pi\) | |||||||
\(114\) | −89.8332 | + | 16.6206i | −0.788011 | + | 0.145795i | ||||
\(115\) | 116.969 | − | 17.9400i | 1.01712 | − | 0.156000i | ||||
\(116\) | −48.8250 | + | 67.2018i | −0.420905 | + | 0.579326i | ||||
\(117\) | −3.33439 | − | 2.16834i | −0.0284991 | − | 0.0185328i | ||||
\(118\) | 69.3590i | 0.587788i | ||||||||
\(119\) | 170.542 | − | 55.4123i | 1.43312 | − | 0.465650i | ||||
\(120\) | −35.7531 | − | 47.0998i | −0.297943 | − | 0.392499i | ||||
\(121\) | −19.6388 | + | 60.4419i | −0.162304 | + | 0.499520i | ||||
\(122\) | 75.5202 | − | 232.427i | 0.619018 | − | 1.90514i | ||||
\(123\) | 10.3787 | + | 56.0962i | 0.0843796 | + | 0.456066i | ||||
\(124\) | 55.5109 | 0.447668 | ||||||||
\(125\) | −17.7405 | − | 123.735i | −0.141924 | − | 0.989878i | ||||
\(126\) | 123.886 | − | 100.193i | 0.983225 | − | 0.795184i | ||||
\(127\) | −104.138 | − | 143.334i | −0.819984 | − | 1.12861i | −0.989705 | − | 0.143119i | \(-0.954287\pi\) |
0.169721 | − | 0.985492i | \(-0.445713\pi\) | |||||||
\(128\) | −36.0461 | + | 110.939i | −0.281610 | + | 0.866707i | ||||
\(129\) | −88.6459 | − | 84.1745i | −0.687178 | − | 0.652515i | ||||
\(130\) | −2.57167 | + | 4.98672i | −0.0197820 | + | 0.0383594i | ||||
\(131\) | 110.681 | − | 35.9623i | 0.844891 | − | 0.274522i | 0.145586 | − | 0.989346i | \(-0.453493\pi\) |
0.699304 | + | 0.714824i | \(0.253493\pi\) | |||||||
\(132\) | 42.9700 | − | 90.0162i | 0.325530 | − | 0.681941i | ||||
\(133\) | 79.5245 | − | 25.8391i | 0.597928 | − | 0.194279i | ||||
\(134\) | 144.483 | − | 198.864i | 1.07823 | − | 1.48406i | ||||
\(135\) | 50.9345 | + | 125.023i | 0.377292 | + | 0.926094i | ||||
\(136\) | 82.0264 | − | 59.5957i | 0.603135 | − | 0.438203i | ||||
\(137\) | −82.1209 | − | 59.6643i | −0.599423 | − | 0.435506i | 0.246251 | − | 0.969206i | \(-0.420801\pi\) |
−0.845674 | + | 0.533700i | \(0.820801\pi\) | |||||||
\(138\) | 85.9763 | + | 158.467i | 0.623016 | + | 1.14831i | ||||
\(139\) | −13.3673 | + | 9.71192i | −0.0961677 | + | 0.0698699i | −0.634830 | − | 0.772652i | \(-0.718930\pi\) |
0.538662 | + | 0.842522i | \(0.318930\pi\) | |||||||
\(140\) | −60.0345 | − | 60.6247i | −0.428818 | − | 0.433033i | ||||
\(141\) | −36.2866 | − | 66.8815i | −0.257352 | − | 0.474337i | ||||
\(142\) | 38.6403 | − | 12.5550i | 0.272115 | − | 0.0884155i | ||||
\(143\) | 6.00370 | 0.0419839 | ||||||||
\(144\) | 97.1469 | − | 149.389i | 0.674631 | − | 1.03742i | ||||
\(145\) | 119.406 | + | 120.580i | 0.823493 | + | 0.831589i | ||||
\(146\) | −97.0248 | − | 31.5253i | −0.664553 | − | 0.215926i | ||||
\(147\) | 0.804880 | − | 0.847636i | 0.00547537 | − | 0.00576623i | ||||
\(148\) | 59.1710 | + | 81.4419i | 0.399804 | + | 0.550283i | ||||
\(149\) | 163.472i | 1.09713i | 0.836109 | + | 0.548563i | \(0.184825\pi\) | ||||
−0.836109 | + | 0.548563i | \(0.815175\pi\) | |||||||
\(150\) | 168.270 | − | 89.1754i | 1.12180 | − | 0.594503i | ||||
\(151\) | −94.5637 | −0.626250 | −0.313125 | − | 0.949712i | \(-0.601376\pi\) | ||||
−0.313125 | + | 0.949712i | \(0.601376\pi\) | |||||||
\(152\) | 38.2494 | − | 27.7898i | 0.251641 | − | 0.182828i | ||||
\(153\) | −216.151 | + | 82.8179i | −1.41275 | + | 0.541293i | ||||
\(154\) | −74.3192 | + | 228.731i | −0.482592 | + | 1.48527i | ||||
\(155\) | 18.2881 | − | 111.921i | 0.117988 | − | 0.722068i | ||||
\(156\) | −3.21697 | − | 0.424544i | −0.0206216 | − | 0.00272144i | ||||
\(157\) | − | 105.152i | − | 0.669756i | −0.942262 | − | 0.334878i | \(-0.891305\pi\) | ||
0.942262 | − | 0.334878i | \(-0.108695\pi\) | |||||||
\(158\) | 9.02911 | + | 27.7887i | 0.0571462 | + | 0.175878i | ||||
\(159\) | −102.226 | − | 188.418i | −0.642934 | − | 1.18502i | ||||
\(160\) | −153.343 | − | 79.0793i | −0.958393 | − | 0.494246i | ||||
\(161\) | −96.9913 | − | 133.497i | −0.602431 | − | 0.829175i | ||||
\(162\) | −153.017 | + | 137.432i | −0.944551 | + | 0.848344i | ||||
\(163\) | −36.7479 | + | 50.5791i | −0.225447 | + | 0.310301i | −0.906724 | − | 0.421725i | \(-0.861425\pi\) |
0.681277 | + | 0.732026i | \(0.261425\pi\) | |||||||
\(164\) | 27.3562 | + | 37.6525i | 0.166806 | + | 0.229589i | ||||
\(165\) | −167.333 | − | 116.292i | −1.01414 | − | 0.704799i | ||||
\(166\) | 63.9198 | + | 46.4404i | 0.385059 | + | 0.279762i | ||||
\(167\) | 37.6809 | + | 115.970i | 0.225634 | + | 0.694431i | 0.998227 | + | 0.0595283i | \(0.0189597\pi\) |
−0.772592 | + | 0.634902i | \(0.781040\pi\) | |||||||
\(168\) | −35.5215 | + | 74.4125i | −0.211437 | + | 0.442932i | ||||
\(169\) | 52.1635 | + | 160.543i | 0.308660 | + | 0.949957i | ||||
\(170\) | 146.817 | + | 291.663i | 0.863629 | + | 1.71566i | ||||
\(171\) | −100.793 | + | 38.6184i | −0.589430 | + | 0.225839i | ||||
\(172\) | −94.8476 | − | 30.8179i | −0.551439 | − | 0.179174i | ||||
\(173\) | −124.504 | + | 90.4577i | −0.719678 | + | 0.522877i | −0.886281 | − | 0.463147i | \(-0.846720\pi\) |
0.166603 | + | 0.986024i | \(0.446720\pi\) | |||||||
\(174\) | −111.376 | + | 233.317i | −0.640092 | + | 1.34090i | ||||
\(175\) | −142.009 | + | 101.068i | −0.811483 | + | 0.577533i | ||||
\(176\) | 268.980i | 1.52830i | ||||||||
\(177\) | 14.9084 | + | 80.5788i | 0.0842281 | + | 0.455247i | ||||
\(178\) | 146.478 | + | 47.5937i | 0.822912 | + | 0.267380i | ||||
\(179\) | −164.186 | − | 53.3472i | −0.917239 | − | 0.298029i | −0.187905 | − | 0.982187i | \(-0.560170\pi\) |
−0.729334 | + | 0.684158i | \(0.760170\pi\) | |||||||
\(180\) | 81.4391 | + | 74.1456i | 0.452439 | + | 0.411920i | ||||
\(181\) | −23.8974 | − | 73.5485i | −0.132030 | − | 0.406345i | 0.863087 | − | 0.505056i | \(-0.168528\pi\) |
−0.995116 | + | 0.0987106i | \(0.968528\pi\) | |||||||
\(182\) | 7.82380 | 0.0429879 | ||||||||
\(183\) | 37.7776 | − | 286.259i | 0.206435 | − | 1.56425i | ||||
\(184\) | −75.4821 | − | 54.8410i | −0.410229 | − | 0.298049i | ||||
\(185\) | 183.696 | − | 92.4690i | 0.992954 | − | 0.499832i | ||||
\(186\) | 169.890 | − | 31.4325i | 0.913389 | − | 0.168992i | ||||
\(187\) | 205.370 | − | 282.668i | 1.09824 | − | 1.51159i | ||||
\(188\) | −50.2211 | − | 36.4877i | −0.267133 | − | 0.194084i | ||||
\(189\) | 122.391 | − | 143.030i | 0.647570 | − | 0.756770i | ||||
\(190\) | 68.4615 | + | 136.004i | 0.360324 | + | 0.715810i | ||||
\(191\) | −51.5237 | + | 70.9163i | −0.269758 | + | 0.371290i | −0.922308 | − | 0.386456i | \(-0.873699\pi\) |
0.652550 | + | 0.757746i | \(0.273699\pi\) | |||||||
\(192\) | 3.30471 | − | 25.0414i | 0.0172120 | − | 0.130424i | ||||
\(193\) | − | 32.0812i | − | 0.166224i | −0.996540 | − | 0.0831119i | \(-0.973514\pi\) | ||
0.996540 | − | 0.0831119i | \(-0.0264859\pi\) | |||||||
\(194\) | −319.732 | + | 103.887i | −1.64810 | + | 0.535501i | ||||
\(195\) | −1.91580 | + | 6.34617i | −0.00982460 | + | 0.0325444i | ||||
\(196\) | 0.294682 | − | 0.906937i | 0.00150348 | − | 0.00462723i | ||||
\(197\) | −90.4803 | + | 278.470i | −0.459291 | + | 1.41355i | 0.406732 | + | 0.913547i | \(0.366668\pi\) |
−0.866023 | + | 0.500004i | \(0.833332\pi\) | |||||||
\(198\) | 80.5385 | − | 299.825i | 0.406760 | − | 1.51427i | ||||
\(199\) | 179.944 | 0.904241 | 0.452121 | − | 0.891957i | \(-0.350668\pi\) | ||||
0.452121 | + | 0.891957i | \(0.350668\pi\) | |||||||
\(200\) | −58.7061 | + | 79.1618i | −0.293531 | + | 0.395809i | ||||
\(201\) | 125.110 | − | 262.088i | 0.622439 | − | 1.30392i | ||||
\(202\) | 271.695 | + | 373.956i | 1.34502 | + | 1.85127i | ||||
\(203\) | 73.1231 | − | 225.050i | 0.360212 | − | 1.10862i | ||||
\(204\) | −130.032 | + | 136.940i | −0.637414 | + | 0.671274i | ||||
\(205\) | 84.9273 | − | 42.7506i | 0.414280 | − | 0.208540i | ||||
\(206\) | 84.5083 | − | 27.4584i | 0.410235 | − | 0.133293i | ||||
\(207\) | 133.946 | + | 165.621i | 0.647081 | + | 0.800100i | ||||
\(208\) | 8.32196 | − | 2.70397i | 0.0400094 | − | 0.0129999i | ||||
\(209\) | 95.7654 | − | 131.810i | 0.458208 | − | 0.630669i | ||||
\(210\) | −218.063 | − | 151.547i | −1.03840 | − | 0.721654i | ||||
\(211\) | −262.367 | + | 190.621i | −1.24344 | + | 0.903415i | −0.997823 | − | 0.0659506i | \(-0.978992\pi\) |
−0.245621 | + | 0.969366i | \(0.578992\pi\) | |||||||
\(212\) | −141.482 | − | 102.793i | −0.667370 | − | 0.484873i | ||||
\(213\) | 42.1923 | − | 22.8915i | 0.198086 | − | 0.107472i | ||||
\(214\) | 292.746 | − | 212.693i | 1.36797 | − | 0.993891i | ||||
\(215\) | −93.3824 | + | 181.078i | −0.434337 | + | 0.842224i | ||||
\(216\) | 40.8245 | − | 98.2985i | 0.189002 | − | 0.455086i | ||||
\(217\) | −150.395 | + | 48.8662i | −0.693063 | + | 0.225190i | ||||
\(218\) | 365.232 | 1.67538 | ||||||||
\(219\) | −119.496 | − | 15.7699i | −0.545644 | − | 0.0720088i | ||||
\(220\) | −164.068 | − | 26.8091i | −0.745764 | − | 0.121860i | ||||
\(221\) | −10.8100 | − | 3.51237i | −0.0489139 | − | 0.0158931i | ||||
\(222\) | 227.208 | + | 215.747i | 1.02346 | + | 0.971833i | ||||
\(223\) | −157.480 | − | 216.752i | −0.706187 | − | 0.971983i | −0.999871 | − | 0.0160803i | \(-0.994881\pi\) |
0.293684 | − | 0.955903i | \(-0.405119\pi\) | |||||||
\(224\) | 240.584i | 1.07403i | ||||||||
\(225\) | 176.322 | − | 139.770i | 0.783653 | − | 0.621198i | ||||
\(226\) | −183.800 | −0.813276 | ||||||||
\(227\) | 19.7762 | − | 14.3683i | 0.0871199 | − | 0.0632963i | −0.543373 | − | 0.839492i | \(-0.682853\pi\) |
0.630493 | + | 0.776195i | \(0.282853\pi\) | |||||||
\(228\) | −60.6348 | + | 63.8559i | −0.265942 | + | 0.280070i | ||||
\(229\) | −54.2684 | + | 167.021i | −0.236980 | + | 0.729349i | 0.759873 | + | 0.650072i | \(0.225261\pi\) |
−0.996853 | + | 0.0792770i | \(0.974739\pi\) | |||||||
\(230\) | 213.508 | − | 211.429i | 0.928294 | − | 0.919256i | ||||
\(231\) | −37.1768 | + | 281.706i | −0.160938 | + | 1.21951i | ||||
\(232\) | − | 133.796i | − | 0.576708i | ||||||
\(233\) | −28.6275 | − | 88.1063i | −0.122865 | − | 0.378139i | 0.870641 | − | 0.491918i | \(-0.163704\pi\) |
−0.993506 | + | 0.113780i | \(0.963704\pi\) | |||||||
\(234\) | −10.0859 | + | 0.522265i | −0.0431021 | + | 0.00223190i | ||||
\(235\) | −90.1117 | + | 89.2344i | −0.383454 | + | 0.379721i | ||||
\(236\) | 39.2955 | + | 54.0856i | 0.166506 | + | 0.229176i | ||||
\(237\) | 16.4628 | + | 30.3432i | 0.0694631 | + | 0.128030i | ||||
\(238\) | 267.631 | − | 368.363i | 1.12450 | − | 1.54774i | ||||
\(239\) | 44.1110 | + | 60.7136i | 0.184565 | + | 0.254032i | 0.891266 | − | 0.453480i | \(-0.149818\pi\) |
−0.706702 | + | 0.707512i | \(0.749818\pi\) | |||||||
\(240\) | −284.323 | − | 85.8323i | −1.18468 | − | 0.357635i | ||||
\(241\) | −25.5230 | − | 18.5436i | −0.105905 | − | 0.0769443i | 0.533572 | − | 0.845754i | \(-0.320849\pi\) |
−0.639477 | + | 0.768810i | \(0.720849\pi\) | |||||||
\(242\) | 49.8665 | + | 153.473i | 0.206060 | + | 0.634187i | ||||
\(243\) | −148.230 | + | 192.554i | −0.609999 | + | 0.792402i | ||||
\(244\) | −72.7922 | − | 224.031i | −0.298329 | − | 0.918161i | ||||
\(245\) | −1.73148 | − | 0.892926i | −0.00706725 | − | 0.00364460i | ||||
\(246\) | 105.044 | + | 99.7450i | 0.427007 | + | 0.405468i | ||||
\(247\) | −5.04075 | − | 1.63784i | −0.0204079 | − | 0.00663093i | ||||
\(248\) | −72.3363 | + | 52.5554i | −0.291679 | + | 0.211917i | ||||
\(249\) | 84.2419 | + | 40.2136i | 0.338321 | + | 0.161500i | ||||
\(250\) | −221.117 | − | 227.704i | −0.884467 | − | 0.910814i | ||||
\(251\) | − | 349.893i | − | 1.39400i | −0.717072 | − | 0.696999i | \(-0.754518\pi\) | ||
0.717072 | − | 0.696999i | \(-0.245482\pi\) | |||||||
\(252\) | 39.8410 | − | 148.318i | 0.158099 | − | 0.588564i | ||||
\(253\) | −305.785 | − | 99.3555i | −1.20864 | − | 0.392710i | ||||
\(254\) | −427.850 | − | 139.017i | −1.68445 | − | 0.547310i | ||||
\(255\) | 233.258 | + | 307.286i | 0.914738 | + | 1.20504i | ||||
\(256\) | 101.935 | + | 313.723i | 0.398183 | + | 1.22548i | ||||
\(257\) | −5.11640 | −0.0199082 | −0.00995408 | − | 0.999950i | \(-0.503169\pi\) | ||||
−0.00995408 | + | 0.999950i | \(0.503169\pi\) | |||||||
\(258\) | −307.730 | − | 40.6112i | −1.19275 | − | 0.157408i | ||||
\(259\) | −232.004 | − | 168.561i | −0.895770 | − | 0.650815i | ||||
\(260\) | 0.819876 | + | 5.34560i | 0.00315337 | + | 0.0205600i | ||||
\(261\) | −79.2423 | + | 294.999i | −0.303610 | + | 1.13027i | ||||
\(262\) | 173.691 | − | 239.066i | 0.662945 | − | 0.912465i | ||||
\(263\) | −239.867 | − | 174.274i | −0.912043 | − | 0.662638i | 0.0294874 | − | 0.999565i | \(-0.490613\pi\) |
−0.941531 | + | 0.336927i | \(0.890613\pi\) | |||||||
\(264\) | 29.2293 | + | 157.982i | 0.110717 | + | 0.598418i | ||||
\(265\) | −253.862 | + | 251.391i | −0.957970 | + | 0.948644i | ||||
\(266\) | 124.798 | − | 171.770i | 0.469165 | − | 0.645751i | ||||
\(267\) | 180.403 | + | 23.8079i | 0.675668 | + | 0.0891680i | ||||
\(268\) | − | 236.929i | − | 0.884065i | ||||||
\(269\) | 217.290 | − | 70.6018i | 0.807769 | − | 0.262460i | 0.124116 | − | 0.992268i | \(-0.460390\pi\) |
0.683653 | + | 0.729808i | \(0.260390\pi\) | |||||||
\(270\) | 291.228 | + | 180.808i | 1.07862 | + | 0.669658i | ||||
\(271\) | 77.2828 | − | 237.852i | 0.285176 | − | 0.877682i | −0.701170 | − | 0.712995i | \(-0.747338\pi\) |
0.986346 | − | 0.164688i | \(-0.0526616\pi\) | |||||||
\(272\) | 157.363 | − | 484.313i | 0.578540 | − | 1.78056i | ||||
\(273\) | 9.08942 | − | 1.68169i | 0.0332946 | − | 0.00616003i | ||||
\(274\) | −257.745 | −0.940676 | ||||||||
\(275\) | −108.105 | + | 321.961i | −0.393108 | + | 1.17077i | ||||
\(276\) | 156.823 | + | 74.8610i | 0.568200 | + | 0.271235i | ||||
\(277\) | 194.827 | + | 268.157i | 0.703348 | + | 0.968075i | 0.999915 | + | 0.0130633i | \(0.00415828\pi\) |
−0.296567 | + | 0.955012i | \(0.595842\pi\) | |||||||
\(278\) | −12.9647 | + | 39.9013i | −0.0466357 | + | 0.143530i | ||||
\(279\) | 190.616 | − | 73.0342i | 0.683213 | − | 0.261771i | ||||
\(280\) | 135.628 | + | 22.1620i | 0.484386 | + | 0.0791499i | ||||
\(281\) | 460.102 | − | 149.496i | 1.63737 | − | 0.532015i | 0.661423 | − | 0.750013i | \(-0.269953\pi\) |
0.975949 | + | 0.217998i | \(0.0699526\pi\) | |||||||
\(282\) | −174.362 | − | 83.2332i | −0.618305 | − | 0.295153i | ||||
\(283\) | 473.697 | − | 153.914i | 1.67384 | − | 0.543864i | 0.690141 | − | 0.723675i | \(-0.257549\pi\) |
0.983701 | + | 0.179811i | \(0.0575487\pi\) | |||||||
\(284\) | 23.0184 | − | 31.6821i | 0.0810506 | − | 0.111557i | ||||
\(285\) | 108.770 | + | 143.289i | 0.381647 | + | 0.502768i | ||||
\(286\) | 12.3331 | − | 8.96049i | 0.0431226 | − | 0.0313304i | ||||
\(287\) | −107.261 | − | 77.9298i | −0.373732 | − | 0.271533i | ||||
\(288\) | −16.0598 | − | 310.144i | −0.0557630 | − | 1.07689i | ||||
\(289\) | −301.345 | + | 218.940i | −1.04272 | + | 0.757579i | ||||
\(290\) | 425.256 | + | 69.4879i | 1.46640 | + | 0.239613i | ||||
\(291\) | −349.123 | + | 189.417i | −1.19974 | + | 0.650918i | ||||
\(292\) | −93.5199 | + | 30.3865i | −0.320274 | + | 0.104063i | ||||
\(293\) | 340.665 | 1.16268 | 0.581339 | − | 0.813662i | \(-0.302529\pi\) | ||||
0.581339 | + | 0.813662i | \(0.302529\pi\) | |||||||
\(294\) | 0.388326 | − | 2.94253i | 0.00132084 | − | 0.0100086i | ||||
\(295\) | 121.993 | − | 61.4088i | 0.413536 | − | 0.208165i | ||||
\(296\) | −154.212 | − | 50.1064i | −0.520985 | − | 0.169278i | ||||
\(297\) | 29.1209 | − | 365.637i | 0.0980501 | − | 1.23110i | ||||
\(298\) | 243.981 | + | 335.811i | 0.818728 | + | 1.12688i | ||||
\(299\) | 10.4595i | 0.0349814i | ||||||||
\(300\) | 80.6930 | − | 164.872i | 0.268977 | − | 0.549573i | ||||
\(301\) | 284.098 | 0.943848 | ||||||||
\(302\) | −194.257 | + | 141.136i | −0.643235 | + | 0.467338i | ||||
\(303\) | 396.025 | + | 376.049i | 1.30701 | + | 1.24109i | ||||
\(304\) | 73.3792 | − | 225.838i | 0.241379 | − | 0.742888i | ||||
\(305\) | −475.672 | + | 72.9557i | −1.55958 | + | 0.239199i | ||||
\(306\) | −320.422 | + | 492.733i | −1.04713 | + | 1.61024i | ||||
\(307\) | 206.808i | 0.673641i | 0.941569 | + | 0.336821i | \(0.109352\pi\) | ||||
−0.941569 | + | 0.336821i | \(0.890648\pi\) | |||||||
\(308\) | 71.6346 | + | 220.469i | 0.232580 | + | 0.715807i | ||||
\(309\) | 92.2767 | − | 50.0649i | 0.298630 | − | 0.162022i | ||||
\(310\) | −129.473 | − | 257.207i | −0.417654 | − | 0.829701i | ||||
\(311\) | −114.814 | − | 158.028i | −0.369177 | − | 0.508128i | 0.583500 | − | 0.812113i | \(-0.301683\pi\) |
−0.952677 | + | 0.303985i | \(0.901683\pi\) | |||||||
\(312\) | 4.59398 | − | 2.49247i | 0.0147243 | − | 0.00798869i | ||||
\(313\) | −277.776 | + | 382.326i | −0.887464 | + | 1.22149i | 0.0868331 | + | 0.996223i | \(0.472325\pi\) |
−0.974297 | + | 0.225267i | \(0.927675\pi\) | |||||||
\(314\) | −156.938 | − | 216.007i | −0.499804 | − | 0.687921i | ||||
\(315\) | −285.912 | − | 129.191i | −0.907658 | − | 0.410129i | ||||
\(316\) | 22.7846 | + | 16.5540i | 0.0721032 | + | 0.0523860i | ||||
\(317\) | −15.1899 | − | 46.7499i | −0.0479178 | − | 0.147476i | 0.924235 | − | 0.381825i | \(-0.124704\pi\) |
−0.972153 | + | 0.234349i | \(0.924704\pi\) | |||||||
\(318\) | −491.211 | − | 234.484i | −1.54469 | − | 0.737371i | ||||
\(319\) | −142.479 | − | 438.504i | −0.446641 | − | 1.37462i | ||||
\(320\) | −41.6109 | + | 6.38203i | −0.130034 | + | 0.0199438i | ||||
\(321\) | 294.385 | − | 310.023i | 0.917087 | − | 0.965804i | ||||
\(322\) | −398.488 | − | 129.477i | −1.23754 | − | 0.402101i | ||||
\(323\) | −249.544 | + | 181.304i | −0.772582 | + | 0.561314i | ||||
\(324\) | −41.4595 | + | 193.861i | −0.127961 | + | 0.598335i | ||||
\(325\) | 11.0479 | + | 0.108085i | 0.0339934 | + | 0.000332570i | ||||
\(326\) | 158.748i | 0.486957i | ||||||||
\(327\) | 424.313 | − | 78.5048i | 1.29759 | − | 0.240076i | ||||
\(328\) | −71.2957 | − | 23.1654i | −0.217365 | − | 0.0706262i | ||||
\(329\) | 168.183 | + | 54.6461i | 0.511196 | + | 0.166098i | ||||
\(330\) | −517.309 | + | 10.8528i | −1.56760 | + | 0.0328872i | ||||
\(331\) | 6.07919 | + | 18.7098i | 0.0183661 | + | 0.0565252i | 0.959820 | − | 0.280618i | \(-0.0905394\pi\) |
−0.941453 | + | 0.337143i | \(0.890539\pi\) | |||||||
\(332\) | 76.1551 | 0.229383 | ||||||||
\(333\) | 310.336 | + | 201.810i | 0.931939 | + | 0.606036i | ||||
\(334\) | 250.490 | + | 181.992i | 0.749971 | + | 0.544886i | ||||
\(335\) | −477.696 | − | 78.0567i | −1.42596 | − | 0.233005i | ||||
\(336\) | 75.3437 | + | 407.228i | 0.224237 | + | 1.21199i | ||||
\(337\) | 274.595 | − | 377.948i | 0.814822 | − | 1.12151i | −0.175739 | − | 0.984437i | \(-0.556232\pi\) |
0.990561 | − | 0.137070i | \(-0.0437684\pi\) | |||||||
\(338\) | 346.766 | + | 251.940i | 1.02594 | + | 0.745385i | ||||
\(339\) | −213.533 | + | 39.5070i | −0.629890 | + | 0.116540i | ||||
\(340\) | 279.729 | + | 144.257i | 0.822732 | + | 0.424285i | ||||
\(341\) | −181.109 | + | 249.275i | −0.531112 | + | 0.731013i | ||||
\(342\) | −149.415 | + | 229.764i | −0.436885 | + | 0.671825i | ||||
\(343\) | 344.350i | 1.00394i | ||||||||
\(344\) | 152.773 | − | 49.6390i | 0.444108 | − | 0.144299i | ||||
\(345\) | 202.600 | − | 291.523i | 0.587246 | − | 0.844994i | ||||
\(346\) | −120.755 | + | 371.644i | −0.349002 | + | 1.07412i | ||||
\(347\) | −79.0960 | + | 243.432i | −0.227942 | + | 0.701534i | 0.770037 | + | 0.637999i | \(0.220238\pi\) |
−0.997980 | + | 0.0635354i | \(0.979762\pi\) | |||||||
\(348\) | 45.3363 | + | 245.039i | 0.130277 | + | 0.704136i | ||||
\(349\) | −17.4643 | −0.0500411 | −0.0250205 | − | 0.999687i | \(-0.507965\pi\) | ||||
−0.0250205 | + | 0.999687i | \(0.507965\pi\) | |||||||
\(350\) | −140.878 | + | 419.567i | −0.402509 | + | 1.19876i | ||||
\(351\) | −11.6052 | + | 2.77466i | −0.0330632 | + | 0.00790502i | ||||
\(352\) | 275.537 | + | 379.245i | 0.782776 | + | 1.07740i | ||||
\(353\) | 22.0131 | − | 67.7494i | 0.0623601 | − | 0.191925i | −0.915023 | − | 0.403402i | \(-0.867828\pi\) |
0.977383 | + | 0.211478i | \(0.0678276\pi\) | |||||||
\(354\) | 150.889 | + | 143.278i | 0.426240 | + | 0.404740i | ||||
\(355\) | −56.2938 | − | 56.8472i | −0.158574 | − | 0.160133i | ||||
\(356\) | 141.187 | − | 45.8745i | 0.396593 | − | 0.128861i | ||||
\(357\) | 231.747 | − | 485.477i | 0.649151 | − | 1.35988i | ||||
\(358\) | −416.898 | + | 135.458i | −1.16452 | + | 0.378375i | ||||
\(359\) | −90.9521 | + | 125.185i | −0.253348 | + | 0.348704i | −0.916680 | − | 0.399621i | \(-0.869142\pi\) |
0.663332 | + | 0.748325i | \(0.269142\pi\) | |||||||
\(360\) | −176.321 | − | 19.5160i | −0.489782 | − | 0.0542112i | ||||
\(361\) | 175.691 | − | 127.647i | 0.486680 | − | 0.353594i | ||||
\(362\) | −158.862 | − | 115.420i | −0.438845 | − | 0.318840i | ||||
\(363\) | 90.9214 | + | 167.581i | 0.250472 | + | 0.461656i | ||||
\(364\) | 6.10094 | − | 4.43260i | 0.0167608 | − | 0.0121775i | ||||
\(365\) | 30.4547 | + | 198.565i | 0.0834376 | + | 0.544014i | ||||
\(366\) | −349.635 | − | 644.428i | −0.955288 | − | 1.76073i | ||||
\(367\) | −421.585 | + | 136.981i | −1.14873 | + | 0.373246i | −0.820666 | − | 0.571408i | \(-0.806397\pi\) |
−0.328067 | + | 0.944654i | \(0.606397\pi\) | |||||||
\(368\) | −468.608 | −1.27339 | ||||||||
\(369\) | 143.476 | + | 93.3016i | 0.388823 | + | 0.252850i | ||||
\(370\) | 239.348 | − | 464.120i | 0.646886 | − | 1.25438i | ||||
\(371\) | 473.805 | + | 153.949i | 1.27710 | + | 0.414956i | ||||
\(372\) | 114.671 | − | 120.763i | 0.308256 | − | 0.324631i | ||||
\(373\) | −77.8079 | − | 107.093i | −0.208600 | − | 0.287114i | 0.691878 | − | 0.722014i | \(-0.256784\pi\) |
−0.900478 | + | 0.434901i | \(0.856784\pi\) | |||||||
\(374\) | − | 887.184i | − | 2.37215i | ||||||
\(375\) | −305.830 | − | 217.010i | −0.815545 | − | 0.578693i | ||||
\(376\) | 99.9882 | 0.265926 | ||||||||
\(377\) | −12.1346 | + | 8.81628i | −0.0321872 | + | 0.0233854i | ||||
\(378\) | 37.9493 | − | 476.485i | 0.100395 | − | 1.26054i | ||||
\(379\) | 128.165 | − | 394.451i | 0.338166 | − | 1.04077i | −0.626976 | − | 0.779039i | \(-0.715707\pi\) |
0.965141 | − | 0.261729i | \(-0.0842926\pi\) | |||||||
\(380\) | 130.439 | + | 67.2678i | 0.343261 | + | 0.177020i | ||||
\(381\) | −526.941 | − | 69.5405i | −1.38305 | − | 0.182521i | ||||
\(382\) | 222.578i | 0.582666i | ||||||||
\(383\) | 101.612 | + | 312.730i | 0.265306 | + | 0.816527i | 0.991623 | + | 0.129167i | \(0.0412303\pi\) |
−0.726317 | + | 0.687360i | \(0.758770\pi\) | |||||||
\(384\) | 166.882 | + | 307.588i | 0.434589 | + | 0.801010i | ||||
\(385\) | 468.107 | − | 71.7955i | 1.21586 | − | 0.186482i | ||||
\(386\) | −47.8811 | − | 65.9026i | −0.124044 | − | 0.170732i | ||||
\(387\) | −366.239 | + | 18.9645i | −0.946355 | + | 0.0490038i | ||||
\(388\) | −190.467 | + | 262.155i | −0.490894 | + | 0.675658i | ||||
\(389\) | 88.8453 | + | 122.285i | 0.228394 | + | 0.314358i | 0.907799 | − | 0.419406i | \(-0.137762\pi\) |
−0.679404 | + | 0.733764i | \(0.737762\pi\) | |||||||
\(390\) | 5.53611 | + | 15.8959i | 0.0141952 | + | 0.0407587i | ||||
\(391\) | 492.455 | + | 357.790i | 1.25948 | + | 0.915063i | ||||
\(392\) | 0.474650 | + | 1.46082i | 0.00121084 | + | 0.00372659i | ||||
\(393\) | 150.403 | − | 315.072i | 0.382704 | − | 0.801711i | ||||
\(394\) | 229.746 | + | 707.086i | 0.583112 | + | 1.79463i | ||||
\(395\) | 40.8825 | − | 40.4845i | 0.103500 | − | 0.102492i | ||||
\(396\) | −107.063 | − | 279.431i | −0.270362 | − | 0.705633i | ||||
\(397\) | −559.798 | − | 181.889i | −1.41007 | − | 0.458159i | −0.497637 | − | 0.867386i | \(-0.665799\pi\) |
−0.912433 | + | 0.409226i | \(0.865799\pi\) | |||||||
\(398\) | 369.649 | − | 268.566i | 0.928766 | − | 0.674788i | ||||
\(399\) | 108.065 | − | 226.381i | 0.270839 | − | 0.567370i | ||||
\(400\) | −4.84247 | + | 494.971i | −0.0121062 | + | 1.23743i | ||||
\(401\) | − | 28.4184i | − | 0.0708688i | −0.999372 | − | 0.0354344i | \(-0.988719\pi\) | ||
0.999372 | − | 0.0354344i | \(-0.0112815\pi\) | |||||||
\(402\) | −134.159 | − | 725.120i | −0.333729 | − | 1.80378i | ||||
\(403\) | 9.53295 | + | 3.09744i | 0.0236550 | + | 0.00768596i | ||||
\(404\) | 423.731 | + | 137.679i | 1.04884 | + | 0.340789i | ||||
\(405\) | 377.202 | + | 147.458i | 0.931362 | + | 0.364094i | ||||
\(406\) | −185.673 | − | 571.443i | −0.457323 | − | 1.40749i | ||||
\(407\) | −558.771 | −1.37290 | ||||||||
\(408\) | 39.7964 | − | 301.556i | 0.0975402 | − | 0.739108i | ||||
\(409\) | −208.962 | − | 151.820i | −0.510910 | − | 0.371198i | 0.302258 | − | 0.953226i | \(-0.402259\pi\) |
−0.813169 | + | 0.582028i | \(0.802259\pi\) | |||||||
\(410\) | 110.656 | − | 214.574i | 0.269893 | − | 0.523351i | ||||
\(411\) | −299.439 | + | 55.4011i | −0.728563 | + | 0.134796i | ||||
\(412\) | 50.3423 | − | 69.2903i | 0.122190 | − | 0.168180i | ||||
\(413\) | −154.074 | − | 111.942i | −0.373061 | − | 0.271045i | ||||
\(414\) | 522.345 | + | 140.312i | 1.26170 | + | 0.338917i | ||||
\(415\) | 25.0894 | − | 153.543i | 0.0604564 | − | 0.369984i | ||||
\(416\) | 8.96354 | − | 12.3373i | 0.0215470 | − | 0.0296569i | ||||
\(417\) | −6.48536 | + | 49.1426i | −0.0155524 | + | 0.117848i | ||||
\(418\) | − | 413.699i | − | 0.989710i | ||||||
\(419\) | −225.854 | + | 73.3843i | −0.539030 | + | 0.175141i | −0.565864 | − | 0.824498i | \(-0.691457\pi\) |
0.0268343 | + | 0.999640i | \(0.491457\pi\) | |||||||
\(420\) | −255.903 | + | 5.36867i | −0.609294 | + | 0.0127826i | ||||
\(421\) | 132.441 | − | 407.611i | 0.314586 | − | 0.968197i | −0.661338 | − | 0.750088i | \(-0.730011\pi\) |
0.975924 | − | 0.218109i | \(-0.0699889\pi\) | |||||||
\(422\) | −254.465 | + | 783.163i | −0.602997 | + | 1.85584i | ||||
\(423\) | −220.458 | − | 59.2191i | −0.521177 | − | 0.139998i | ||||
\(424\) | 281.686 | 0.664354 | ||||||||
\(425\) | 383.007 | − | 516.462i | 0.901192 | − | 1.21520i | ||||
\(426\) | 52.5079 | − | 109.997i | 0.123258 | − | 0.258208i | ||||
\(427\) | 394.430 | + | 542.886i | 0.923723 | + | 1.27140i | ||||
\(428\) | 107.780 | − | 331.712i | 0.251822 | − | 0.775029i | ||||
\(429\) | 12.4021 | − | 13.0609i | 0.0289093 | − | 0.0304450i | ||||
\(430\) | 78.4280 | + | 511.351i | 0.182391 | + | 1.18919i | ||||
\(431\) | 631.269 | − | 205.112i | 1.46466 | − | 0.475898i | 0.535172 | − | 0.844743i | \(-0.320247\pi\) |
0.929491 | + | 0.368846i | \(0.120247\pi\) | |||||||
\(432\) | −124.312 | − | 519.940i | −0.287758 | − | 1.20356i | ||||
\(433\) | −559.669 | + | 181.848i | −1.29254 | + | 0.419971i | −0.872980 | − | 0.487756i | \(-0.837815\pi\) |
−0.419559 | + | 0.907728i | \(0.637815\pi\) | |||||||
\(434\) | −236.015 | + | 324.847i | −0.543813 | + | 0.748495i | ||||
\(435\) | 508.983 | − | 10.6781i | 1.17008 | − | 0.0245474i | ||||
\(436\) | 284.805 | − | 206.923i | 0.653223 | − | 0.474594i | ||||
\(437\) | 229.635 | + | 166.839i | 0.525480 | + | 0.381783i | ||||
\(438\) | −269.011 | + | 145.952i | −0.614180 | + | 0.333224i | ||||
\(439\) | −248.454 | + | 180.512i | −0.565954 | + | 0.411190i | −0.833633 | − | 0.552318i | \(-0.813743\pi\) |
0.267679 | + | 0.963508i | \(0.413743\pi\) | |||||||
\(440\) | 239.179 | − | 120.398i | 0.543589 | − | 0.273631i | ||||
\(441\) | −0.181339 | − | 3.50200i | −0.000411200 | − | 0.00794103i | ||||
\(442\) | −27.4485 | + | 8.91857i | −0.0621008 | + | 0.0201778i | ||||
\(443\) | 567.297 | 1.28058 | 0.640290 | − | 0.768133i | \(-0.278814\pi\) | ||||
0.640290 | + | 0.768133i | \(0.278814\pi\) | |||||||
\(444\) | 299.407 | + | 39.5128i | 0.674340 | + | 0.0889928i | ||||
\(445\) | −45.9775 | − | 299.774i | −0.103320 | − | 0.673649i | ||||
\(446\) | −647.003 | − | 210.224i | −1.45068 | − | 0.471355i | ||||
\(447\) | 355.630 | + | 337.691i | 0.795592 | + | 0.755461i | ||||
\(448\) | 34.5040 | + | 47.4906i | 0.0770178 | + | 0.106006i | ||||
\(449\) | 21.4607i | 0.0477967i | 0.999714 | + | 0.0238983i | \(0.00760780\pi\) | ||||
−0.999714 | + | 0.0238983i | \(0.992392\pi\) | |||||||
\(450\) | 153.603 | − | 550.281i | 0.341340 | − | 1.22285i | ||||
\(451\) | −258.333 | −0.572801 | ||||||||
\(452\) | −143.326 | + | 104.133i | −0.317093 | + | 0.230382i | ||||
\(453\) | −195.344 | + | 205.721i | −0.431224 | + | 0.454131i | ||||
\(454\) | 19.1806 | − | 59.0318i | 0.0422480 | − | 0.130026i | ||||
\(455\) | −6.92701 | − | 13.7610i | −0.0152242 | − | 0.0302440i | ||||
\(456\) | 18.5573 | − | 140.617i | 0.0406958 | − | 0.308371i | ||||
\(457\) | 442.410i | 0.968075i | 0.875047 | + | 0.484037i | \(0.160830\pi\) | ||||
−0.875047 | + | 0.484037i | \(0.839170\pi\) | |||||||
\(458\) | 137.797 | + | 424.097i | 0.300868 | + | 0.925976i | ||||
\(459\) | −266.344 | + | 641.313i | −0.580271 | + | 1.39720i | ||||
\(460\) | 46.7060 | − | 285.834i | 0.101535 | − | 0.621378i | ||||
\(461\) | −270.395 | − | 372.166i | −0.586540 | − | 0.807303i | 0.407854 | − | 0.913047i | \(-0.366277\pi\) |
−0.994393 | + | 0.105745i | \(0.966277\pi\) | |||||||
\(462\) | 344.075 | + | 634.179i | 0.744751 | + | 1.37268i | ||||
\(463\) | 110.953 | − | 152.714i | 0.239640 | − | 0.329836i | −0.672209 | − | 0.740361i | \(-0.734655\pi\) |
0.911849 | + | 0.410525i | \(0.134655\pi\) | |||||||
\(464\) | −394.990 | − | 543.658i | −0.851272 | − | 1.17168i | ||||
\(465\) | −205.702 | − | 270.985i | −0.442371 | − | 0.582763i | ||||
\(466\) | −190.306 | − | 138.266i | −0.408382 | − | 0.296707i | ||||
\(467\) | −38.8708 | − | 119.632i | −0.0832352 | − | 0.256172i | 0.900774 | − | 0.434288i | \(-0.143000\pi\) |
−0.984010 | + | 0.178116i | \(0.943000\pi\) | |||||||
\(468\) | −7.56902 | + | 6.12145i | −0.0161731 | + | 0.0130800i | ||||
\(469\) | 208.569 | + | 641.910i | 0.444710 | + | 1.36868i | ||||
\(470\) | −51.9295 | + | 317.801i | −0.110488 | + | 0.676172i | ||||
\(471\) | −228.755 | − | 217.216i | −0.485680 | − | 0.461181i | ||||
\(472\) | −102.412 | − | 33.2757i | −0.216975 | − | 0.0704994i | ||||
\(473\) | 447.839 | − | 325.374i | 0.946805 | − | 0.687894i | ||||
\(474\) | 79.1056 | + | 37.7618i | 0.166889 | + | 0.0796662i | ||||
\(475\) | 178.598 | − | 240.829i | 0.375996 | − | 0.507009i | ||||
\(476\) | − | 438.874i | − | 0.922004i | ||||||
\(477\) | −621.073 | − | 166.832i | −1.30204 | − | 0.349752i | ||||
\(478\) | 181.229 | + | 58.8850i | 0.379141 | + | 0.123190i | ||||
\(479\) | −518.995 | − | 168.632i | −1.08350 | − | 0.352049i | −0.287766 | − | 0.957701i | \(-0.592913\pi\) |
−0.795730 | + | 0.605651i | \(0.792913\pi\) | |||||||
\(480\) | −488.802 | + | 170.237i | −1.01834 | + | 0.354660i | ||||
\(481\) | 5.61714 | + | 17.2878i | 0.0116781 | + | 0.0359413i | ||||
\(482\) | −80.1068 | −0.166197 | ||||||||
\(483\) | −490.779 | − | 64.7682i | −1.01611 | − | 0.134096i | ||||
\(484\) | 125.836 | + | 91.4253i | 0.259992 | + | 0.188895i | ||||
\(485\) | 465.806 | + | 470.386i | 0.960425 | + | 0.969867i | ||||
\(486\) | −17.1146 | + | 616.785i | −0.0352152 | + | 1.26910i | ||||
\(487\) | −183.292 | + | 252.279i | −0.376369 | + | 0.518027i | −0.954618 | − | 0.297833i | \(-0.903736\pi\) |
0.578249 | + | 0.815860i | \(0.303736\pi\) | |||||||
\(488\) | 306.959 | + | 223.019i | 0.629015 | + | 0.457006i | ||||
\(489\) | 34.1221 | + | 184.428i | 0.0697793 | + | 0.377153i | ||||
\(490\) | −4.88956 | + | 0.749932i | −0.00997870 | + | 0.00153047i | ||||
\(491\) | −207.347 | + | 285.389i | −0.422296 | + | 0.581241i | −0.966163 | − | 0.257931i | \(-0.916959\pi\) |
0.543867 | + | 0.839171i | \(0.316959\pi\) | |||||||
\(492\) | 138.423 | + | 18.2677i | 0.281348 | + | 0.0371295i | ||||
\(493\) | 872.905i | 1.77060i | ||||||||
\(494\) | −12.7994 | + | 4.15878i | −0.0259097 | + | 0.00841858i | ||||
\(495\) | −598.658 | + | 123.801i | −1.20941 | + | 0.250104i | ||||
\(496\) | −138.773 | + | 427.099i | −0.279784 | + | 0.861087i | ||||
\(497\) | −34.4736 | + | 106.099i | −0.0693634 | + | 0.213479i | ||||
\(498\) | 233.072 | − | 43.1221i | 0.468016 | − | 0.0865905i | ||||
\(499\) | 80.4065 | 0.161135 | 0.0805677 | − | 0.996749i | \(-0.474327\pi\) | ||||
0.0805677 | + | 0.996749i | \(0.474327\pi\) | |||||||
\(500\) | −301.431 | − | 52.2873i | −0.602863 | − | 0.104575i | ||||
\(501\) | 330.129 | + | 157.590i | 0.658940 | + | 0.314551i | ||||
\(502\) | −522.214 | − | 718.766i | −1.04027 | − | 1.43181i | ||||
\(503\) | 154.019 | − | 474.023i | 0.306201 | − | 0.942391i | −0.673025 | − | 0.739620i | \(-0.735005\pi\) |
0.979226 | − | 0.202771i | \(-0.0649948\pi\) | |||||||
\(504\) | 88.5046 | + | 230.993i | 0.175604 | + | 0.458320i | ||||
\(505\) | 417.185 | − | 808.965i | 0.826110 | − | 1.60191i | ||||
\(506\) | −776.444 | + | 252.282i | −1.53448 | + | 0.498581i | ||||
\(507\) | 457.014 | + | 218.160i | 0.901408 | + | 0.430295i | ||||
\(508\) | −412.394 | + | 133.995i | −0.811800 | + | 0.263770i | ||||
\(509\) | −137.249 | + | 188.907i | −0.269645 | + | 0.371134i | −0.922270 | − | 0.386547i | \(-0.873668\pi\) |
0.652625 | + | 0.757681i | \(0.273668\pi\) | |||||||
\(510\) | 937.791 | + | 283.103i | 1.83881 | + | 0.555104i | ||||
\(511\) | 226.623 | − | 164.651i | 0.443489 | − | 0.322214i | ||||
\(512\) | 300.150 | + | 218.071i | 0.586230 | + | 0.425921i | ||||
\(513\) | −124.198 | + | 299.048i | −0.242101 | + | 0.582939i | ||||
\(514\) | −10.5103 | + | 7.63620i | −0.0204481 | + | 0.0148564i | ||||
\(515\) | −123.117 | − | 124.328i | −0.239063 | − | 0.241413i | ||||
\(516\) | −262.974 | + | 142.677i | −0.509640 | + | 0.276506i | ||||
\(517\) | 327.702 | − | 106.477i | 0.633852 | − | 0.205951i | ||||
\(518\) | −728.170 | −1.40573 | ||||||||
\(519\) | −60.4052 | + | 457.719i | −0.116388 | + | 0.881924i | ||||
\(520\) | −6.12937 | − | 6.18963i | −0.0117873 | − | 0.0119031i | ||||
\(521\) | −216.308 | − | 70.2826i | −0.415178 | − | 0.134899i | 0.0939771 | − | 0.995574i | \(-0.470042\pi\) |
−0.509155 | + | 0.860675i | \(0.670042\pi\) | |||||||
\(522\) | 277.502 | + | 724.270i | 0.531614 | + | 1.38749i | ||||
\(523\) | −146.764 | − | 202.004i | −0.280620 | − | 0.386241i | 0.645319 | − | 0.763913i | \(-0.276725\pi\) |
−0.925939 | + | 0.377672i | \(0.876725\pi\) | |||||||
\(524\) | − | 284.827i | − | 0.543563i | ||||||
\(525\) | −73.4834 | + | 517.720i | −0.139968 | + | 0.986132i | ||||
\(526\) | −752.849 | −1.43127 | ||||||||
\(527\) | 471.932 | − | 342.878i | 0.895506 | − | 0.650623i | ||||
\(528\) | 585.160 | + | 555.644i | 1.10826 | + | 1.05236i | ||||
\(529\) | 9.62402 | − | 29.6197i | 0.0181929 | − | 0.0559918i | ||||
\(530\) | −146.295 | + | 895.306i | −0.276029 | + | 1.68926i | ||||
\(531\) | 206.094 | + | 134.022i | 0.388125 | + | 0.252396i | ||||
\(532\) | − | 204.649i | − | 0.384679i | ||||||
\(533\) | 2.59694 | + | 7.99256i | 0.00487231 | + | 0.0149954i | ||||
\(534\) | 406.126 | − | 220.344i | 0.760535 | − | 0.412629i | ||||
\(535\) | −633.288 | − | 326.588i | −1.18372 | − | 0.610445i | ||||
\(536\) | 224.315 | + | 308.743i | 0.418498 | + | 0.576013i | ||||
\(537\) | −455.221 | + | 246.981i | −0.847712 | + | 0.459927i | ||||
\(538\) | 340.994 | − | 469.337i | 0.633817 | − | 0.872374i | ||||
\(539\) | 3.11124 | + | 4.28225i | 0.00577224 | + | 0.00794481i | ||||
\(540\) | 329.534 | − | 24.0033i | 0.610249 | − | 0.0444506i | ||||
\(541\) | 95.2741 | + | 69.2207i | 0.176107 | + | 0.127950i | 0.672347 | − | 0.740236i | \(-0.265286\pi\) |
−0.496240 | + | 0.868186i | \(0.665286\pi\) | |||||||
\(542\) | −196.235 | − | 603.950i | −0.362058 | − | 1.11430i | ||||
\(543\) | −209.369 | − | 99.9441i | −0.385578 | − | 0.184059i | ||||
\(544\) | −274.248 | − | 844.049i | −0.504133 | − | 1.55156i | ||||
\(545\) | −323.368 | − | 642.393i | −0.593335 | − | 1.17870i | ||||
\(546\) | 16.1620 | − | 17.0205i | 0.0296007 | − | 0.0311731i | ||||
\(547\) | 689.808 | + | 224.132i | 1.26108 | + | 0.409748i | 0.861877 | − | 0.507117i | \(-0.169289\pi\) |
0.399198 | + | 0.916865i | \(0.369289\pi\) | |||||||
\(548\) | −200.988 | + | 146.026i | −0.366766 | + | 0.266471i | ||||
\(549\) | −544.710 | − | 673.521i | −0.992187 | − | 1.22681i | ||||
\(550\) | 258.451 | + | 822.731i | 0.469911 | + | 1.49588i | ||||
\(551\) | 407.040i | 0.738730i | ||||||||
\(552\) | −275.232 | + | 50.9224i | −0.498609 | + | 0.0922507i | ||||
\(553\) | −76.3025 | − | 24.7922i | −0.137979 | − | 0.0448322i | ||||
\(554\) | 800.446 | + | 260.081i | 1.44485 | + | 0.469460i | ||||
\(555\) | 178.305 | − | 590.645i | 0.321271 | − | 1.06423i | ||||
\(556\) | 12.4964 | + | 38.4600i | 0.0224755 | + | 0.0691726i | ||||
\(557\) | −66.5010 | −0.119391 | −0.0596957 | − | 0.998217i | \(-0.519013\pi\) | ||||
−0.0596957 | + | 0.998217i | \(0.519013\pi\) | |||||||
\(558\) | 282.569 | − | 434.524i | 0.506396 | − | 0.778717i | ||||
\(559\) | −14.5687 | − | 10.5848i | −0.0260621 | − | 0.0189352i | ||||
\(560\) | 616.526 | − | 310.347i | 1.10094 | − | 0.554190i | ||||
\(561\) | −190.696 | − | 1030.70i | −0.339921 | − | 1.83725i | ||||
\(562\) | 722.039 | − | 993.801i | 1.28477 | − | 1.76833i | ||||
\(563\) | 420.897 | + | 305.800i | 0.747598 | + | 0.543161i | 0.895081 | − | 0.445903i | \(-0.147117\pi\) |
−0.147484 | + | 0.989064i | \(0.547117\pi\) | |||||||
\(564\) | −183.122 | + | 33.8805i | −0.324685 | + | 0.0600719i | ||||
\(565\) | 162.732 | + | 323.280i | 0.288022 | + | 0.572177i | ||||
\(566\) | 743.374 | − | 1023.17i | 1.31338 | − | 1.80772i | ||||
\(567\) | −58.3301 | − | 561.721i | −0.102875 | − | 0.990689i | ||||
\(568\) | 63.0778i | 0.111053i | ||||||||
\(569\) | −364.152 | + | 118.320i | −0.639985 | + | 0.207944i | −0.610993 | − | 0.791636i | \(-0.709230\pi\) |
−0.0289921 | + | 0.999580i | \(0.509230\pi\) | |||||||
\(570\) | 437.297 | + | 132.012i | 0.767188 | + | 0.231601i | ||||
\(571\) | −276.902 | + | 852.217i | −0.484942 | + | 1.49250i | 0.347122 | + | 0.937820i | \(0.387159\pi\) |
−0.832065 | + | 0.554679i | \(0.812841\pi\) | |||||||
\(572\) | 4.54064 | − | 13.9747i | 0.00793818 | − | 0.0244312i | ||||
\(573\) | 47.8422 | + | 258.584i | 0.0834942 | + | 0.451280i | ||||
\(574\) | −336.651 | −0.586499 | ||||||||
\(575\) | −560.909 | − | 188.337i | −0.975494 | − | 0.327542i | ||||
\(576\) | −47.6502 | − | 58.9183i | −0.0827261 | − | 0.102289i | ||||
\(577\) | −518.759 | − | 714.010i | −0.899062 | − | 1.23745i | −0.970766 | − | 0.240026i | \(-0.922844\pi\) |
0.0717049 | − | 0.997426i | \(-0.477156\pi\) | |||||||
\(578\) | −292.270 | + | 899.513i | −0.505657 | + | 1.55625i | ||||
\(579\) | −69.7920 | − | 66.2715i | −0.120539 | − | 0.114459i | ||||
\(580\) | 370.980 | − | 186.744i | 0.639620 | − | 0.321972i | ||||
\(581\) | −206.326 | + | 67.0394i | −0.355122 | + | 0.115386i | ||||
\(582\) | −434.479 | + | 910.174i | −0.746528 | + | 1.56387i | ||||
\(583\) | 923.199 | − | 299.965i | 1.58353 | − | 0.514520i | ||||
\(584\) | 93.0973 | − | 128.137i | 0.159413 | − | 0.219413i | ||||
\(585\) | 9.84840 | + | 17.2773i | 0.0168349 | + | 0.0295339i | ||||
\(586\) | 699.808 | − | 508.440i | 1.19421 | − | 0.867646i | ||||
\(587\) | 313.505 | + | 227.774i | 0.534079 | + | 0.388031i | 0.821881 | − | 0.569659i | \(-0.192925\pi\) |
−0.287802 | + | 0.957690i | \(0.592925\pi\) | |||||||
\(588\) | −1.36428 | − | 2.51457i | −0.00232021 | − | 0.00427648i | ||||
\(589\) | 220.064 | − | 159.886i | 0.373624 | − | 0.271453i | ||||
\(590\) | 158.951 | − | 308.223i | 0.269409 | − | 0.522411i | ||||
\(591\) | 418.896 | + | 772.085i | 0.708791 | + | 1.30640i | ||||
\(592\) | −774.534 | + | 251.661i | −1.30834 | + | 0.425104i | ||||
\(593\) | −134.959 | −0.227586 | −0.113793 | − | 0.993504i | \(-0.536300\pi\) | ||||
−0.113793 | + | 0.993504i | \(0.536300\pi\) | |||||||
\(594\) | −485.891 | − | 794.571i | −0.817998 | − | 1.33766i | ||||
\(595\) | −884.855 | − | 144.588i | −1.48715 | − | 0.243004i | ||||
\(596\) | 380.509 | + | 123.635i | 0.638439 | + | 0.207441i | ||||
\(597\) | 371.718 | − | 391.464i | 0.622643 | − | 0.655719i | ||||
\(598\) | 15.6107 | + | 21.4863i | 0.0261048 | + | 0.0359302i | ||||
\(599\) | 279.184i | 0.466083i | 0.972467 | + | 0.233041i | \(0.0748678\pi\) | ||||
−0.972467 | + | 0.233041i | \(0.925132\pi\) | |||||||
\(600\) | 50.9429 | + | 291.242i | 0.0849048 | + | 0.485403i | ||||
\(601\) | −135.279 | −0.225089 | −0.112545 | − | 0.993647i | \(-0.535900\pi\) | ||||
−0.112545 | + | 0.993647i | \(0.535900\pi\) | |||||||
\(602\) | 583.607 | − | 424.015i | 0.969447 | − | 0.704344i | ||||
\(603\) | −311.722 | − | 813.582i | −0.516952 | − | 1.34922i | ||||
\(604\) | −71.5193 | + | 220.114i | −0.118409 | + | 0.364427i | ||||
\(605\) | 225.788 | − | 223.590i | 0.373203 | − | 0.369570i | ||||
\(606\) | 1374.78 | + | 181.430i | 2.26862 | + | 0.299390i | ||||
\(607\) | 206.038i | 0.339436i | 0.985493 | + | 0.169718i | \(0.0542857\pi\) | ||||
−0.985493 | + | 0.169718i | \(0.945714\pi\) | |||||||
\(608\) | −127.883 | − | 393.585i | −0.210335 | − | 0.647343i | ||||
\(609\) | −338.537 | − | 623.972i | −0.555890 | − | 1.02459i | ||||
\(610\) | −868.260 | + | 859.807i | −1.42338 | + | 1.40952i | ||||
\(611\) | −6.58855 | − | 9.06837i | −0.0107832 | − | 0.0148418i | ||||
\(612\) | 29.2963 | + | 565.766i | 0.0478697 | + | 0.924453i | ||||
\(613\) | 187.514 | − | 258.091i | 0.305896 | − | 0.421030i | −0.628200 | − | 0.778052i | \(-0.716208\pi\) |
0.934096 | + | 0.357022i | \(0.116208\pi\) | |||||||
\(614\) | 308.660 | + | 424.834i | 0.502703 | + | 0.691912i | ||||
\(615\) | 82.4349 | − | 273.069i | 0.134040 | − | 0.444015i | ||||
\(616\) | −302.078 | − | 219.472i | −0.490386 | − | 0.356286i | ||||
\(617\) | −134.643 | − | 414.390i | −0.218223 | − | 0.671620i | −0.998909 | − | 0.0466971i | \(-0.985130\pi\) |
0.780687 | − | 0.624923i | \(-0.214870\pi\) | |||||||
\(618\) | 114.837 | − | 240.568i | 0.185821 | − | 0.389269i | ||||
\(619\) | 67.3502 | + | 207.283i | 0.108805 | + | 0.334867i | 0.990605 | − | 0.136757i | \(-0.0436679\pi\) |
−0.881800 | + | 0.471624i | \(0.843668\pi\) | |||||||
\(620\) | −246.683 | − | 127.215i | −0.397876 | − | 0.205186i | ||||
\(621\) | 637.002 | + | 50.7335i | 1.02577 | + | 0.0816964i | ||||
\(622\) | −471.712 | − | 153.268i | −0.758379 | − | 0.246412i | ||||
\(623\) | −342.133 | + | 248.574i | −0.549170 | + | 0.398995i | ||||
\(624\) | 11.3086 | − | 23.6899i | 0.0181228 | − | 0.0379647i | ||||
\(625\) | −204.728 | + | 590.518i | −0.327565 | + | 0.944829i | ||||
\(626\) | 1199.97i | 1.91689i | ||||||||
\(627\) | −88.9225 | − | 480.621i | −0.141822 | − | 0.766540i | ||||
\(628\) | −244.759 | − | 79.5270i | −0.389743 | − | 0.126635i | ||||
\(629\) | 1006.10 | + | 326.901i | 1.59952 | + | 0.519715i | ||||
\(630\) | −780.150 | + | 161.334i | −1.23833 | + | 0.256085i | ||||
\(631\) | −327.690 | − | 1008.53i | −0.519319 | − | 1.59830i | −0.775283 | − | 0.631614i | \(-0.782393\pi\) |
0.255964 | − | 0.966686i | \(-0.417607\pi\) | |||||||
\(632\) | −45.3633 | −0.0717774 | ||||||||
\(633\) | −127.291 | + | 964.546i | −0.201092 | + | 1.52377i | ||||
\(634\) | −100.978 | − | 73.3647i | −0.159271 | − | 0.115717i | ||||
\(635\) | 134.296 | + | 875.612i | 0.211490 | + | 1.37892i | ||||
\(636\) | −515.890 | + | 95.4480i | −0.811148 | + | 0.150076i | ||||
\(637\) | 0.101212 | − | 0.139306i | 0.000158889 | − | 0.000218691i | ||||
\(638\) | −947.151 | − | 688.146i | −1.48456 | − | 1.07860i | ||||
\(639\) | 37.3585 | − | 139.076i | 0.0584640 | − | 0.217647i | ||||
\(640\) | 414.424 | − | 410.390i | 0.647538 | − | 0.641234i | ||||
\(641\) | −2.10516 | + | 2.89750i | −0.00328417 | + | 0.00452028i | −0.810656 | − | 0.585523i | \(-0.800889\pi\) |
0.807372 | + | 0.590043i | \(0.200889\pi\) | |||||||
\(642\) | 142.030 | − | 1076.23i | 0.221231 | − | 1.67637i | ||||
\(643\) | − | 885.019i | − | 1.37639i | −0.725526 | − | 0.688195i | \(-0.758403\pi\) | ||
0.725526 | − | 0.688195i | \(-0.241597\pi\) | |||||||
\(644\) | −384.093 | + | 124.799i | −0.596418 | + | 0.193788i | ||||
\(645\) | 201.027 | + | 577.212i | 0.311670 | + | 0.894903i | ||||
\(646\) | −242.028 | + | 744.887i | −0.374657 | + | 1.15308i | ||||
\(647\) | 195.799 | − | 602.607i | 0.302626 | − | 0.931386i | −0.677927 | − | 0.735129i | \(-0.737121\pi\) |
0.980553 | − | 0.196257i | \(-0.0628786\pi\) | |||||||
\(648\) | −129.513 | − | 291.872i | −0.199866 | − | 0.450420i | ||||
\(649\) | −371.081 | −0.571773 | ||||||||
\(650\) | 22.8563 | − | 16.2669i | 0.0351636 | − | 0.0250259i | ||||
\(651\) | −204.370 | + | 428.126i | −0.313932 | + | 0.657643i | ||||
\(652\) | 89.9390 | + | 123.790i | 0.137943 | + | 0.189863i | ||||
\(653\) | −193.035 | + | 594.101i | −0.295612 | + | 0.909802i | 0.687403 | + | 0.726277i | \(0.258751\pi\) |
−0.983015 | + | 0.183525i | \(0.941249\pi\) | |||||||
\(654\) | 754.475 | − | 794.554i | 1.15363 | − | 1.21491i | ||||
\(655\) | −574.267 | − | 93.8366i | −0.876743 | − | 0.143262i | ||||
\(656\) | −358.086 | + | 116.349i | −0.545863 | + | 0.177362i | ||||
\(657\) | −281.155 | + | 227.385i | −0.427938 | + | 0.346095i | ||||
\(658\) | 427.049 | − | 138.757i | 0.649010 | − | 0.210876i | ||||
\(659\) | −319.722 | + | 440.059i | −0.485162 | + | 0.667768i | −0.979487 | − | 0.201509i | \(-0.935415\pi\) |
0.494325 | + | 0.869277i | \(0.335415\pi\) | |||||||
\(660\) | −397.245 | + | 301.546i | −0.601886 | + | 0.456887i | ||||
\(661\) | −138.017 | + | 100.275i | −0.208801 | + | 0.151703i | −0.687271 | − | 0.726401i | \(-0.741191\pi\) |
0.478470 | + | 0.878104i | \(0.341191\pi\) | |||||||
\(662\) | 40.4125 | + | 29.3614i | 0.0610461 | + | 0.0443526i | ||||
\(663\) | −29.9717 | + | 16.2612i | −0.0452062 | + | 0.0245267i | ||||
\(664\) | −99.2379 | + | 72.1005i | −0.149455 | + | 0.108585i | ||||
\(665\) | −412.613 | − | 67.4220i | −0.620470 | − | 0.101386i | ||||
\(666\) | 938.706 | − | 48.6078i | 1.40947 | − | 0.0729846i | ||||
\(667\) | 763.948 | − | 248.222i | 1.14535 | − | 0.372146i | ||||
\(668\) | 298.439 | 0.446764 | ||||||||
\(669\) | −796.852 | − | 105.161i | −1.19111 | − | 0.157191i | ||||
\(670\) | −1097.80 | + | 552.611i | −1.63851 | + | 0.824793i | ||||
\(671\) | 1243.52 | + | 404.044i | 1.85323 | + | 0.602152i | ||||
\(672\) | 523.385 | + | 496.984i | 0.778846 | + | 0.739560i | ||||
\(673\) | 251.764 | + | 346.524i | 0.374092 | + | 0.514894i | 0.954007 | − | 0.299783i | \(-0.0969143\pi\) |
−0.579915 | + | 0.814677i | \(0.696914\pi\) | |||||||
\(674\) | − | 1186.23i | − | 1.75998i | ||||||
\(675\) | 60.1702 | − | 672.313i | 0.0891410 | − | 0.996019i | ||||
\(676\) | 413.143 | 0.611158 | ||||||||
\(677\) | −391.318 | + | 284.309i | −0.578018 | + | 0.419955i | −0.838009 | − | 0.545656i | \(-0.816280\pi\) |
0.259991 | + | 0.965611i | \(0.416280\pi\) | |||||||
\(678\) | −379.684 | + | 399.854i | −0.560006 | + | 0.589755i | ||||
\(679\) | 285.254 | − | 877.922i | 0.420109 | − | 1.29296i | ||||
\(680\) | −501.092 | + | 76.8545i | −0.736899 | + | 0.113021i | ||||
\(681\) | 9.59474 | − | 72.7039i | 0.0140892 | − | 0.106760i | ||||
\(682\) | 782.377i | 1.14718i | ||||||||
\(683\) | −354.430 | − | 1090.82i | −0.518931 | − | 1.59711i | −0.776013 | − | 0.630716i | \(-0.782761\pi\) |
0.257082 | − | 0.966389i | \(-0.417239\pi\) | |||||||
\(684\) | 13.6610 | + | 263.820i | 0.0199722 | + | 0.385701i | ||||
\(685\) | 228.201 | + | 453.339i | 0.333141 | + | 0.661809i | ||||
\(686\) | 513.941 | + | 707.379i | 0.749185 | + | 1.03117i | ||||
\(687\) | 251.246 | + | 463.082i | 0.365714 | + | 0.674064i | ||||
\(688\) | 474.223 | − | 652.713i | 0.689278 | − | 0.948710i | ||||
\(689\) | −18.5612 | − | 25.5473i | −0.0269394 | − | 0.0370789i | ||||
\(690\) | −18.9074 | − | 901.239i | −0.0274020 | − | 1.30614i | ||||
\(691\) | 350.566 | + | 254.701i | 0.507331 | + | 0.368597i | 0.811810 | − | 0.583922i | \(-0.198482\pi\) |
−0.304479 | + | 0.952519i | \(0.598482\pi\) | |||||||
\(692\) | 116.393 | + | 358.219i | 0.168197 | + | 0.517658i | ||||
\(693\) | 536.048 | + | 662.810i | 0.773518 | + | 0.956435i | ||||
\(694\) | 200.839 | + | 618.120i | 0.289394 | + | 0.890663i | ||||
\(695\) | 81.6597 | − | 12.5245i | 0.117496 | − | 0.0180208i | ||||
\(696\) | −291.071 | − | 276.389i | −0.418205 | − | 0.397110i | ||||
\(697\) | 465.143 | + | 151.134i | 0.667350 | + | 0.216835i | ||||
\(698\) | −35.8760 | + | 26.0654i | −0.0513983 | + | 0.0373430i | ||||
\(699\) | −250.810 | − | 119.727i | −0.358813 | − | 0.171283i | ||||
\(700\) | 127.851 | + | 406.991i | 0.182644 | + | 0.581415i | ||||
\(701\) | − | 708.515i | − | 1.01072i | −0.862909 | − | 0.505360i | \(-0.831360\pi\) | ||
0.862909 | − | 0.505360i | \(-0.168640\pi\) | |||||||
\(702\) | −19.6987 | + | 23.0205i | −0.0280608 | + | 0.0327928i | ||||
\(703\) | 469.149 | + | 152.436i | 0.667352 | + | 0.216836i | ||||
\(704\) | 108.781 | + | 35.3450i | 0.154518 | + | 0.0502060i | ||||
\(705\) | 7.97992 | + | 380.372i | 0.0113190 | + | 0.539534i | ||||
\(706\) | −55.8954 | − | 172.028i | −0.0791719 | − | 0.243666i | ||||
\(707\) | −1269.21 | −1.79520 | ||||||||
\(708\) | 198.837 | + | 26.2405i | 0.280843 | + | 0.0370628i | ||||
\(709\) | 869.199 | + | 631.510i | 1.22595 | + | 0.890705i | 0.996580 | − | 0.0826343i | \(-0.0263333\pi\) |
0.229370 | + | 0.973339i | \(0.426333\pi\) | |||||||
\(710\) | −200.485 | − | 32.7598i | −0.282374 | − | 0.0461406i | ||||
\(711\) | 100.019 | + | 26.8669i | 0.140673 | + | 0.0377875i | ||||
\(712\) | −140.549 | + | 193.449i | −0.197400 | + | 0.271698i | ||||
\(713\) | −434.280 | − | 315.523i | −0.609088 | − | 0.442528i | ||||
\(714\) | −248.508 | − | 1343.17i | −0.348050 | − | 1.88119i | ||||
\(715\) | −26.6797 | − | 13.7588i | −0.0373142 | − | 0.0192430i | ||||
\(716\) | −248.350 | + | 341.824i | −0.346857 | + | 0.477408i | ||||
\(717\) | 223.203 | + | 29.4561i | 0.311301 | + | 0.0410825i | ||||
\(718\) | 392.906i | 0.547223i | ||||||||
\(719\) | 1266.77 | − | 411.597i | 1.76184 | − | 0.572458i | 0.764456 | − | 0.644676i | \(-0.223008\pi\) |
0.997389 | + | 0.0722178i | \(0.0230077\pi\) | |||||||
\(720\) | −774.066 | + | 441.232i | −1.07509 | + | 0.612822i | ||||
\(721\) | −75.3955 | + | 232.044i | −0.104571 | + | 0.321836i | ||||
\(722\) | 170.400 | − | 524.437i | 0.236011 | − | 0.726367i | ||||
\(723\) | −93.0652 | + | 17.2186i | −0.128721 | + | 0.0238154i | ||||
\(724\) | −189.271 | −0.261424 | ||||||||
\(725\) | −254.291 | − | 809.490i | −0.350747 | − | 1.11654i | ||||
\(726\) | 436.889 | + | 208.553i | 0.601775 | + | 0.287263i | ||||
\(727\) | 319.388 | + | 439.600i | 0.439323 | + | 0.604676i | 0.970062 | − | 0.242859i | \(-0.0780853\pi\) |
−0.530738 | + | 0.847536i | \(0.678085\pi\) | |||||||
\(728\) | −3.75355 | + | 11.5522i | −0.00515598 | + | 0.0158685i | ||||
\(729\) | 112.692 | + | 720.237i | 0.154584 | + | 0.987980i | ||||
\(730\) | 358.919 | + | 362.448i | 0.491670 | + | 0.496504i | ||||
\(731\) | −996.712 | + | 323.851i | −1.36349 | + | 0.443025i | ||||
\(732\) | −637.745 | − | 304.433i | −0.871237 | − | 0.415893i | ||||
\(733\) | 803.163 | − | 260.963i | 1.09572 | − | 0.356021i | 0.295266 | − | 0.955415i | \(-0.404592\pi\) |
0.800454 | + | 0.599394i | \(0.204592\pi\) | |||||||
\(734\) | −661.595 | + | 910.607i | −0.901355 | + | 1.24061i | ||||
\(735\) | −5.51933 | + | 1.92223i | −0.00750929 | + | 0.00261528i | ||||
\(736\) | −660.708 | + | 480.032i | −0.897701 | + | 0.652218i | ||||
\(737\) | 1063.95 | + | 773.004i | 1.44362 | + | 1.04885i | ||||
\(738\) | 433.986 | − | 22.4725i | 0.588057 | − | 0.0304506i | ||||
\(739\) | 472.107 | − | 343.005i | 0.638845 | − | 0.464148i | −0.220608 | − | 0.975363i | \(-0.570804\pi\) |
0.859453 | + | 0.511214i | \(0.170804\pi\) | |||||||
\(740\) | −76.3068 | − | 497.521i | −0.103117 | − | 0.672325i | ||||
\(741\) | −13.9760 | + | 7.58269i | −0.0188610 | + | 0.0102331i | ||||
\(742\) | 1203.08 | − | 390.904i | 1.62140 | − | 0.526825i | ||||
\(743\) | 96.0790 | 0.129312 | 0.0646561 | − | 0.997908i | \(-0.479405\pi\) | ||||
0.0646561 | + | 0.997908i | \(0.479405\pi\) | |||||||
\(744\) | −35.0951 | + | 265.932i | −0.0471708 | + | 0.357435i | ||||
\(745\) | 374.631 | − | 726.449i | 0.502861 | − | 0.975099i | ||||
\(746\) | −319.673 | − | 103.868i | −0.428516 | − | 0.139233i | ||||
\(747\) | 261.506 | − | 100.195i | 0.350075 | − | 0.134130i | ||||
\(748\) | −502.636 | − | 691.820i | −0.671974 | − | 0.924893i | ||||
\(749\) | 993.582i | 1.32654i | ||||||||
\(750\) | −952.135 | + | 10.6579i | −1.26951 | + | 0.0142105i | ||||
\(751\) | −665.080 | −0.885592 | −0.442796 | − | 0.896622i | \(-0.646013\pi\) | ||||
−0.442796 | + | 0.896622i | \(0.646013\pi\) | |||||||
\(752\) | 406.285 | − | 295.183i | 0.540272 | − | 0.392531i | ||||
\(753\) | −761.185 | − | 722.790i | −1.01087 | − | 0.959880i | ||||
\(754\) | −11.7691 | + | 36.2216i | −0.0156089 | + | 0.0480392i | ||||
\(755\) | 420.229 | + | 216.713i | 0.556595 | + | 0.287038i | ||||
\(756\) | −240.361 | − | 393.060i | −0.317938 | − | 0.519921i | ||||
\(757\) | − | 710.689i | − | 0.938822i | −0.882980 | − | 0.469411i | \(-0.844466\pi\) | ||
0.882980 | − | 0.469411i | \(-0.155534\pi\) | |||||||
\(758\) | −325.434 | − | 1001.58i | −0.429333 | − | 1.32135i | ||||
\(759\) | −847.819 | + | 459.985i | −1.11702 | + | 0.606041i | ||||
\(760\) | −233.662 | + | 35.8377i | −0.307450 | + | 0.0471548i | ||||
\(761\) | −89.4370 | − | 123.099i | −0.117526 | − | 0.161760i | 0.746201 | − | 0.665721i | \(-0.231876\pi\) |
−0.863727 | + | 0.503960i | \(0.831876\pi\) | |||||||
\(762\) | −1186.26 | + | 643.605i | −1.55677 | + | 0.844626i | ||||
\(763\) | −589.464 | + | 811.328i | −0.772561 | + | 1.06334i | ||||
\(764\) | 126.102 | + | 173.565i | 0.165055 | + | 0.227179i | ||||
\(765\) | 1150.34 | + | 127.325i | 1.50372 | + | 0.166438i | ||||
\(766\) | 675.484 | + | 490.768i | 0.881832 | + | 0.640689i | ||||
\(767\) | 3.73035 | + | 11.4808i | 0.00486356 | + | 0.0149685i | ||||
\(768\) | 893.069 | + | 426.314i | 1.16285 | + | 0.555097i | ||||
\(769\) | −298.261 | − | 917.953i | −0.387856 | − | 1.19370i | −0.934387 | − | 0.356259i | \(-0.884052\pi\) |
0.546532 | − | 0.837439i | \(-0.315948\pi\) | |||||||
\(770\) | 854.452 | − | 846.134i | 1.10968 | − | 1.09887i | ||||
\(771\) | −10.5692 | + | 11.1306i | −0.0137084 | + | 0.0144366i | ||||
\(772\) | −74.6746 | − | 24.2633i | −0.0967288 | − | 0.0314291i | ||||
\(773\) | −728.420 | + | 529.228i | −0.942329 | + | 0.684642i | −0.948980 | − | 0.315336i | \(-0.897883\pi\) |
0.00665109 | + | 0.999978i | \(0.497883\pi\) | |||||||
\(774\) | −724.041 | + | 585.568i | −0.935453 | + | 0.756548i | ||||
\(775\) | −337.760 | + | 455.450i | −0.435820 | + | 0.587678i | ||||
\(776\) | − | 521.941i | − | 0.672605i | ||||||
\(777\) | −845.962 | + | 156.517i | −1.08875 | + | 0.201437i | ||||
\(778\) | 365.020 | + | 118.602i | 0.469177 | + | 0.152445i | ||||
\(779\) | 216.899 | + | 70.4747i | 0.278432 | + | 0.0904681i | ||||
\(780\) | 13.3229 | + | 9.25900i | 0.0170806 | + | 0.0118705i | ||||
\(781\) | 67.1711 | + | 206.731i | 0.0860065 | + | 0.264701i | ||||
\(782\) | 1545.62 | 1.97650 | ||||||||
\(783\) | 478.070 | + | 781.783i | 0.610563 | + | 0.998445i | ||||
\(784\) | 6.24126 | + | 4.53454i | 0.00796080 | + | 0.00578386i | ||||
\(785\) | −240.978 | + | 467.281i | −0.306978 | + | 0.595262i | ||||
\(786\) | −161.281 | − | 871.711i | −0.205191 | − | 1.10905i | ||||
\(787\) | −358.857 | + | 493.925i | −0.455981 | + | 0.627605i | −0.973669 | − | 0.227965i | \(-0.926793\pi\) |
0.517688 | + | 0.855570i | \(0.326793\pi\) | |||||||
\(788\) | 579.756 | + | 421.217i | 0.735731 | + | 0.534540i | ||||
\(789\) | −874.634 | + | 161.821i | −1.10853 | + | 0.205097i | ||||
\(790\) | 23.5597 | − | 144.182i | 0.0298224 | − | 0.182509i | ||||
\(791\) | 296.644 | − | 408.295i | 0.375024 | − | 0.516176i | ||||
\(792\) | 404.068 | + | 262.763i | 0.510186 | + | 0.331772i | ||||
\(793\) | − | 42.5349i | − | 0.0536380i | ||||||
\(794\) | −1421.43 | + | 461.851i | −1.79021 | + | 0.581676i | ||||
\(795\) | 22.4810 | + | 1071.58i | 0.0282780 | + | 1.34790i | ||||
\(796\) | 136.093 | − | 418.851i | 0.170971 | − | 0.526195i | ||||
\(797\) | −181.689 | + | 559.182i | −0.227966 | + | 0.701608i | 0.770011 | + | 0.638031i | \(0.220251\pi\) |
−0.997977 | + | 0.0635770i | \(0.979749\pi\) | |||||||
\(798\) | −115.881 | − | 626.327i | −0.145214 | − | 0.784871i | ||||
\(799\) | −652.337 | −0.816441 | ||||||||
\(800\) | 500.210 | + | 702.837i | 0.625262 | + | 0.878547i | ||||
\(801\) | 424.461 | − | 343.283i | 0.529913 | − | 0.428568i | ||||
\(802\) | −42.4143 | − | 58.3783i | −0.0528857 | − | 0.0727909i | ||||
\(803\) | 168.665 | − | 519.096i | 0.210043 | − | 0.646446i | ||||
\(804\) | −515.435 | − | 489.435i | −0.641088 | − | 0.608750i | ||||
\(805\) | 125.080 | + | 815.521i | 0.155379 | + | 1.01307i | ||||
\(806\) | 24.2059 | − | 7.86498i | 0.0300322 | − | 0.00975804i | ||||
\(807\) | 295.272 | − | 618.554i | 0.365889 | − | 0.766486i | ||||
\(808\) | −682.513 | + | 221.762i | −0.844694 | + | 0.274458i | ||||
\(809\) | 324.701 | − | 446.913i | 0.401361 | − | 0.552426i | −0.559724 | − | 0.828679i | \(-0.689093\pi\) |
0.961085 | + | 0.276253i | \(0.0890927\pi\) | |||||||
\(810\) | 994.945 | − | 260.057i | 1.22833 | − | 0.321059i | ||||
\(811\) | −52.3347 | + | 38.0234i | −0.0645311 | + | 0.0468846i | −0.619583 | − | 0.784931i | \(-0.712698\pi\) |
0.555052 | + | 0.831816i | \(0.312698\pi\) | |||||||
\(812\) | −468.539 | − | 340.413i | −0.577018 | − | 0.419228i | ||||
\(813\) | −357.795 | − | 659.468i | −0.440093 | − | 0.811154i | ||||
\(814\) | −1147.85 | + | 833.963i | −1.41014 | + | 1.02453i | ||||
\(815\) | 279.216 | − | 140.552i | 0.342596 | − | 0.172456i | ||||
\(816\) | −728.541 | − | 1342.81i | −0.892820 | − | 1.64559i | ||||
\(817\) | −464.772 | + | 151.014i | −0.568877 | + | 0.184839i | ||||
\(818\) | −655.850 | −0.801773 | ||||||||
\(819\) | 15.1179 | − | 23.2478i | 0.0184590 | − | 0.0283855i | ||||
\(820\) | −35.2785 | − | 230.016i | −0.0430225 | − | 0.280507i | ||||
\(821\) | −253.051 | − | 82.2212i | −0.308223 | − | 0.100148i | 0.150822 | − | 0.988561i | \(-0.451808\pi\) |
−0.459044 | + | 0.888413i | \(0.651808\pi\) | |||||||
\(822\) | −532.435 | + | 560.719i | −0.647732 | + | 0.682140i | ||||
\(823\) | 215.463 | + | 296.559i | 0.261802 | + | 0.360339i | 0.919601 | − | 0.392854i | \(-0.128512\pi\) |
−0.657799 | + | 0.753194i | \(0.728512\pi\) | |||||||
\(824\) | 137.954i | 0.167420i | ||||||||
\(825\) | 477.101 | + | 900.267i | 0.578305 | + | 1.09123i | ||||
\(826\) | −483.579 | −0.585446 | ||||||||
\(827\) | −125.593 | + | 91.2487i | −0.151866 | + | 0.110337i | −0.661123 | − | 0.750277i | \(-0.729920\pi\) |
0.509258 | + | 0.860614i | \(0.329920\pi\) | |||||||
\(828\) | 486.815 | − | 186.522i | 0.587941 | − | 0.225268i | ||||
\(829\) | −255.989 | + | 787.854i | −0.308793 | + | 0.950367i | 0.669441 | + | 0.742865i | \(0.266533\pi\) |
−0.978235 | + | 0.207502i | \(0.933467\pi\) | |||||||
\(830\) | −177.623 | − | 352.862i | −0.214004 | − | 0.425134i | ||||
\(831\) | 985.833 | + | 130.100i | 1.18632 | + | 0.156559i | ||||
\(832\) | − | 3.72087i | − | 0.00447220i | ||||||
\(833\) | −3.09668 | − | 9.53060i | −0.00371750 | − | 0.0114413i | ||||
\(834\) | 60.0227 | + | 110.630i | 0.0719696 | + | 0.132650i | ||||
\(835\) | 98.3210 | − | 601.710i | 0.117750 | − | 0.720611i | ||||
\(836\) | −234.382 | − | 322.599i | −0.280361 | − | 0.385884i | ||||
\(837\) | 234.880 | − | 565.552i | 0.280621 | − | 0.675689i | ||||
\(838\) | −354.433 | + | 487.835i | −0.422951 | + | 0.582142i | ||||
\(839\) | −555.403 | − | 764.447i | −0.661982 | − | 0.911140i | 0.337563 | − | 0.941303i | \(-0.390397\pi\) |
−0.999545 | + | 0.0301628i | \(0.990397\pi\) | |||||||
\(840\) | 328.385 | − | 249.275i | 0.390935 | − | 0.296756i | ||||
\(841\) | 251.524 | + | 182.743i | 0.299077 | + | 0.217292i | ||||
\(842\) | −336.292 | − | 1035.00i | −0.399396 | − | 1.22922i | ||||
\(843\) | 625.226 | − | 1309.76i | 0.741668 | − | 1.55369i | ||||
\(844\) | 245.273 | + | 754.872i | 0.290608 | + | 0.894398i | ||||
\(845\) | 136.110 | − | 832.976i | 0.161078 | − | 0.985771i | ||||
\(846\) | −541.259 | + | 207.382i | −0.639786 | + | 0.245133i | ||||
\(847\) | −421.408 | − | 136.924i | −0.497530 | − | 0.161657i | ||||
\(848\) | 1144.58 | − | 831.588i | 1.34974 | − | 0.980646i | ||||
\(849\) | 643.701 | − | 1348.46i | 0.758187 | − | 1.58830i | ||||
\(850\) | 15.9721 | − | 1632.57i | 0.0187907 | − | 1.92068i | ||||
\(851\) | − | 973.473i | − | 1.14392i | ||||||
\(852\) | −21.3736 | − | 115.523i | −0.0250864 | − | 0.135590i | ||||
\(853\) | −387.900 | − | 126.036i | −0.454748 | − | 0.147757i | 0.0726819 | − | 0.997355i | \(-0.476844\pi\) |
−0.527430 | + | 0.849599i | \(0.676844\pi\) | |||||||
\(854\) | 1620.51 | + | 526.536i | 1.89755 | + | 0.616552i | ||||
\(855\) | 536.412 | + | 59.3724i | 0.627382 | + | 0.0694414i | ||||
\(856\) | 173.603 | + | 534.296i | 0.202808 | + | 0.624178i | ||||
\(857\) | 1424.88 | 1.66264 | 0.831320 | − | 0.555795i | \(-0.187586\pi\) | ||||
0.831320 | + | 0.555795i | \(0.187586\pi\) | |||||||
\(858\) | 5.98358 | − | 45.3404i | 0.00697387 | − | 0.0528443i | ||||
\(859\) | 796.733 | + | 578.860i | 0.927512 | + | 0.673877i | 0.945382 | − | 0.325964i | \(-0.105689\pi\) |
−0.0178705 | + | 0.999840i | \(0.505689\pi\) | |||||||
\(860\) | 350.865 | + | 354.315i | 0.407983 | + | 0.411994i | ||||
\(861\) | −391.109 | + | 72.3614i | −0.454249 | + | 0.0840435i | ||||
\(862\) | 990.653 | − | 1363.52i | 1.14925 | − | 1.58181i | ||||
\(863\) | 135.978 | + | 98.7941i | 0.157565 | + | 0.114478i | 0.663774 | − | 0.747933i | \(-0.268954\pi\) |
−0.506209 | + | 0.862411i | \(0.668954\pi\) | |||||||
\(864\) | −707.886 | − | 605.740i | −0.819313 | − | 0.701087i | ||||
\(865\) | 760.585 | − | 116.654i | 0.879289 | − | 0.134860i | ||||
\(866\) | −878.291 | + | 1208.86i | −1.01419 | + | 1.39592i | ||||
\(867\) | −146.202 | + | 1107.84i | −0.168630 | + | 1.27779i | ||||
\(868\) | 387.028i | 0.445885i | ||||||||
\(869\) | −148.674 | + | 48.3070i | −0.171086 | + | 0.0555892i | ||||
\(870\) | 1029.64 | − | 781.590i | 1.18349 | − | 0.898380i | ||||
\(871\) | 13.2204 | − | 40.6882i | 0.0151784 | − | 0.0467143i | ||||
\(872\) | −175.224 | + | 539.284i | −0.200945 | + | 0.618445i | ||||
\(873\) | −309.125 | + | 1150.80i | −0.354095 | + | 1.31821i | ||||
\(874\) | 720.733 | 0.824637 | ||||||||
\(875\) | 862.692 | − | 123.689i | 0.985934 | − | 0.141359i | ||||
\(876\) | −127.083 | + | 266.221i | −0.145072 | + | 0.303905i | ||||
\(877\) | −124.112 | − | 170.825i | −0.141519 | − | 0.194784i | 0.732374 | − | 0.680902i | \(-0.238412\pi\) |
−0.873893 | + | 0.486119i | \(0.838412\pi\) | |||||||
\(878\) | −240.971 | + | 741.632i | −0.274454 | + | 0.844684i | ||||
\(879\) | 703.725 | − | 741.108i | 0.800598 | − | 0.843127i | ||||
\(880\) | 616.426 | − | 1195.31i | 0.700484 | − | 1.35831i | ||||
\(881\) | −1227.02 | + | 398.682i | −1.39276 | + | 0.452534i | −0.906841 | − | 0.421473i | \(-0.861513\pi\) |
−0.485914 | + | 0.874007i | \(0.661513\pi\) | |||||||
\(882\) | −5.59923 | − | 6.92331i | −0.00634833 | − | 0.00784955i | ||||
\(883\) | 364.163 | − | 118.324i | 0.412416 | − | 0.134002i | −0.0954580 | − | 0.995433i | \(-0.530432\pi\) |
0.507874 | + | 0.861431i | \(0.330432\pi\) | |||||||
\(884\) | −16.3513 | + | 22.5057i | −0.0184970 | + | 0.0254589i | ||||
\(885\) | 118.413 | − | 392.248i | 0.133800 | − | 0.443218i | ||||
\(886\) | 1165.37 | − | 846.689i | 1.31531 | − | 0.955631i | ||||
\(887\) | 100.370 | + | 72.9232i | 0.113157 | + | 0.0822133i | 0.642925 | − | 0.765930i | \(-0.277721\pi\) |
−0.529768 | + | 0.848143i | \(0.677721\pi\) | |||||||
\(888\) | −427.567 | + | 231.977i | −0.481494 | + | 0.261235i | ||||
\(889\) | 999.338 | − | 726.062i | 1.12412 | − | 0.816717i | ||||
\(890\) | −541.860 | − | 547.188i | −0.608832 | − | 0.614817i | ||||
\(891\) | −735.280 | − | 818.665i | −0.825230 | − | 0.918816i | ||||
\(892\) | −623.632 | + | 202.630i | −0.699139 | + | 0.227164i | ||||
\(893\) | −304.188 | −0.340636 | ||||||||
\(894\) | 1234.55 | + | 162.924i | 1.38093 | + | 0.182242i | ||||
\(895\) | 607.365 | + | 613.336i | 0.678620 | + | 0.685291i | ||||
\(896\) | −773.476 | − | 251.318i | −0.863254 | − | 0.280488i | ||||
\(897\) | 22.7543 | + | 21.6065i | 0.0253671 | + | 0.0240876i | ||||
\(898\) | 32.0300 | + | 44.0855i | 0.0356682 | + | 0.0490930i | ||||
\(899\) | − | 769.785i | − | 0.856268i | ||||||
\(900\) | −191.985 | − | 516.129i | −0.213316 | − | 0.573477i | ||||
\(901\) | −1837.76 | −2.03969 | ||||||||
\(902\) | −530.680 | + | 385.561i | −0.588337 | + | 0.427452i | ||||
\(903\) | 586.874 | − | 618.049i | 0.649916 | − | 0.684440i | ||||
\(904\) | 88.1802 | − | 271.391i | 0.0975444 | − | 0.300211i | ||||
\(905\) | −62.3555 | + | 381.606i | −0.0689011 | + | 0.421665i | ||||
\(906\) | −94.2468 | + | 714.152i | −0.104025 | + | 0.788248i | ||||
\(907\) | 479.783i | 0.528978i | 0.964389 | + | 0.264489i | \(0.0852033\pi\) | ||||
−0.964389 | + | 0.264489i | \(0.914797\pi\) | |||||||
\(908\) | −18.4877 | − | 56.8994i | −0.0203609 | − | 0.0626646i | ||||
\(909\) | 1636.17 | − | 84.7237i | 1.79997 | − | 0.0932054i | ||||
\(910\) | −34.7680 | − | 17.9299i | −0.0382066 | − | 0.0197032i | ||||
\(911\) | 576.910 | + | 794.048i | 0.633271 | + | 0.871623i | 0.998234 | − | 0.0593992i | \(-0.0189185\pi\) |
−0.364963 | + | 0.931022i | \(0.618918\pi\) | |||||||
\(912\) | −339.723 | − | 626.158i | −0.372503 | − | 0.686576i | ||||
\(913\) | −248.463 | + | 341.980i | −0.272139 | + | 0.374567i | ||||
\(914\) | 660.295 | + | 908.818i | 0.722424 | + | 0.994331i | ||||
\(915\) | −823.902 | + | 1185.52i | −0.900440 | + | 1.29565i | ||||
\(916\) | 347.727 | + | 252.638i | 0.379614 | + | 0.275806i | ||||
\(917\) | 250.733 | + | 771.678i | 0.273428 | + | 0.841525i | ||||
\(918\) | 410.020 | + | 1714.93i | 0.446645 | + | 1.86812i | ||||
\(919\) | −277.843 | − | 855.113i | −0.302332 | − | 0.930482i | −0.980659 | − | 0.195722i | \(-0.937295\pi\) |
0.678327 | − | 0.734760i | \(-0.262705\pi\) | |||||||
\(920\) | 209.753 | + | 416.690i | 0.227993 | + | 0.452924i | ||||
\(921\) | 449.906 | + | 427.212i | 0.488497 | + | 0.463857i | ||||
\(922\) | −1110.91 | − | 360.958i | −1.20490 | − | 0.391494i | ||||
\(923\) | 5.72080 | − | 4.15640i | 0.00619805 | − | 0.00450315i | ||||
\(924\) | 627.603 | + | 299.592i | 0.679224 | + | 0.324234i | ||||
\(925\) | −1028.24 | − | 10.0596i | −1.11161 | − | 0.0108753i | ||||
\(926\) | − | 479.309i | − | 0.517613i | ||||||
\(927\) | 81.7049 | − | 304.167i | 0.0881391 | − | 0.328120i | ||||
\(928\) | −1113.82 | − | 361.903i | −1.20024 | − | 0.389981i | ||||
\(929\) | −1487.83 | − | 483.425i | −1.60154 | − | 0.520371i | −0.634051 | − | 0.773291i | \(-0.718609\pi\) |
−0.967487 | + | 0.252920i | \(0.918609\pi\) | |||||||
\(930\) | −827.006 | − | 249.659i | −0.889254 | − | 0.268450i | ||||
\(931\) | −1.44400 | − | 4.44417i | −0.00155102 | − | 0.00477355i | ||||
\(932\) | −226.734 | −0.243277 | ||||||||
\(933\) | −580.962 | − | 76.6697i | −0.622682 | − | 0.0821754i | ||||
\(934\) | −258.401 | − | 187.739i | −0.276660 | − | 0.201005i | ||||
\(935\) | −1560.44 | + | 785.491i | −1.66892 | + | 0.840098i | ||||
\(936\) | 4.06766 | − | 15.1429i | 0.00434580 | − | 0.0161783i | ||||
\(937\) | −374.955 | + | 516.081i | −0.400165 | + | 0.550780i | −0.960785 | − | 0.277293i | \(-0.910563\pi\) |
0.560620 | + | 0.828073i | \(0.310563\pi\) | |||||||
\(938\) | 1386.50 | + | 1007.35i | 1.47814 | + | 1.07393i | ||||
\(939\) | 257.928 | + | 1394.08i | 0.274684 | + | 1.48465i | ||||
\(940\) | 139.557 | + | 277.239i | 0.148464 | + | 0.294936i | ||||
\(941\) | −419.935 | + | 577.992i | −0.446265 | + | 0.614231i | −0.971590 | − | 0.236671i | \(-0.923944\pi\) |
0.525325 | + | 0.850902i | \(0.323944\pi\) | |||||||
\(942\) | −794.113 | − | 104.799i | −0.843008 | − | 0.111252i | ||||
\(943\) | − | 450.060i | − | 0.477264i | ||||||
\(944\) | −514.369 | + | 167.129i | −0.544883 | + | 0.177043i | ||||
\(945\) | −871.673 | + | 355.121i | −0.922405 | + | 0.375789i | ||||
\(946\) | 434.351 | − | 1336.79i | 0.459145 | − | 1.41310i | ||||
\(947\) | −85.6580 | + | 263.628i | −0.0904520 | + | 0.278383i | −0.986042 | − | 0.166498i | \(-0.946754\pi\) |
0.895590 | + | 0.444881i | \(0.146754\pi\) | |||||||
\(948\) | 83.0800 | − | 15.3711i | 0.0876371 | − | 0.0162143i | ||||
\(949\) | −17.7558 | −0.0187100 | ||||||||
\(950\) | 7.44786 | − | 761.279i | 0.00783985 | − | 0.801346i | ||||
\(951\) | −133.082 | − | 63.5278i | −0.139939 | − | 0.0668010i | ||||
\(952\) | 415.508 | + | 571.897i | 0.436458 | + | 0.600733i | ||||
\(953\) | −230.629 | + | 709.802i | −0.242003 | + | 0.744808i | 0.754112 | + | 0.656745i | \(0.228067\pi\) |
−0.996115 | + | 0.0880621i | \(0.971933\pi\) | |||||||
\(954\) | −1524.83 | + | 584.235i | −1.59836 | + | 0.612406i | ||||
\(955\) | 391.485 | − | 197.066i | 0.409932 | − | 0.206351i | ||||
\(956\) | 174.683 | − | 56.7579i | 0.182723 | − | 0.0593702i | ||||
\(957\) | −1248.28 | − | 595.878i | −1.30437 | − | 0.622652i | ||||
\(958\) | −1317.82 | + | 428.187i | −1.37560 | + | 0.446959i | ||||
\(959\) | 415.987 | − | 572.556i | 0.433771 | − | 0.597035i | ||||
\(960\) | −72.0734 | + | 103.707i | −0.0750765 | + | 0.108028i | ||||
\(961\) | 361.285 | − | 262.489i | 0.375947 | − | 0.273141i | ||||
\(962\) | 37.3409 | + | 27.1298i | 0.0388159 | + | 0.0282014i | ||||
\(963\) | −66.3249 | − | 1280.86i | −0.0688732 | − | 1.33007i | ||||
\(964\) | −62.4667 | + | 45.3847i | −0.0647995 | + | 0.0470796i | ||||
\(965\) | −73.5211 | + | 142.565i | −0.0761876 | + | 0.147736i | ||||
\(966\) | −1104.85 | + | 599.436i | −1.14373 | + | 0.620534i | ||||
\(967\) | −1240.43 | + | 403.039i | −1.28276 | + | 0.416793i | −0.869551 | − | 0.493844i | \(-0.835591\pi\) |
−0.413207 | + | 0.910637i | \(0.635591\pi\) | |||||||
\(968\) | −250.535 | −0.258817 | ||||||||
\(969\) | −121.070 | + | 917.406i | −0.124943 | + | 0.946755i | ||||
\(970\) | 1658.93 | + | 271.073i | 1.71024 | + | 0.279457i | ||||
\(971\) | 721.884 | + | 234.554i | 0.743444 | + | 0.241560i | 0.656158 | − | 0.754624i | \(-0.272181\pi\) |
0.0872862 | + | 0.996183i | \(0.472181\pi\) | |||||||
\(972\) | 336.095 | + | 490.661i | 0.345777 | + | 0.504795i | ||||
\(973\) | −67.7126 | − | 93.1984i | −0.0695916 | − | 0.0957846i | ||||
\(974\) | 791.805i | 0.812942i | ||||||||
\(975\) | 23.0572 | − | 23.8111i | 0.0236484 | − | 0.0244216i | ||||
\(976\) | 1905.67 | 1.95253 | ||||||||
\(977\) | 961.944 | − | 698.893i | 0.984589 | − | 0.715346i | 0.0258599 | − | 0.999666i | \(-0.491768\pi\) |
0.958730 | + | 0.284319i | \(0.0917676\pi\) | |||||||
\(978\) | 345.352 | + | 327.932i | 0.353121 | + | 0.335309i | ||||
\(979\) | −254.633 | + | 783.680i | −0.260095 | + | 0.800491i | ||||
\(980\) | −3.38797 | + | 3.35499i | −0.00345711 | + | 0.00342346i | ||||
\(981\) | 705.737 | − | 1085.26i | 0.719406 | − | 1.10627i | ||||
\(982\) | 895.724i | 0.912143i | ||||||||
\(983\) | 441.654 | + | 1359.27i | 0.449292 | + | 1.38278i | 0.877708 | + | 0.479196i | \(0.159072\pi\) |
−0.428416 | + | 0.903581i | \(0.640928\pi\) | |||||||
\(984\) | −197.674 | + | 107.249i | −0.200889 | + | 0.108992i | ||||
\(985\) | 1040.26 | − | 1030.13i | 1.05610 | − | 1.04582i | ||||
\(986\) | 1302.81 | + | 1793.16i | 1.32131 | + | 1.81862i | ||||
\(987\) | 466.305 | − | 252.995i | 0.472447 | − | 0.256327i | ||||
\(988\) | −7.62472 | + | 10.4945i | −0.00771732 | + | 0.0106220i | ||||
\(989\) | 566.856 | + | 780.210i | 0.573160 | + | 0.788888i | ||||
\(990\) | −1045.02 | + | 1147.81i | −1.05557 | + | 1.15941i | ||||
\(991\) | −751.395 | − | 545.920i | −0.758219 | − | 0.550878i | 0.140145 | − | 0.990131i | \(-0.455243\pi\) |
−0.898363 | + | 0.439253i | \(0.855243\pi\) | |||||||
\(992\) | 241.850 | + | 744.338i | 0.243800 | + | 0.750341i | ||||
\(993\) | 53.2609 | + | 25.4246i | 0.0536363 | + | 0.0256038i | ||||
\(994\) | 87.5349 | + | 269.405i | 0.0880633 | + | 0.271031i | ||||
\(995\) | −799.649 | − | 412.381i | −0.803667 | − | 0.414453i | ||||
\(996\) | 157.317 | − | 165.674i | 0.157949 | − | 0.166339i | ||||
\(997\) | −695.228 | − | 225.893i | −0.697320 | − | 0.226573i | −0.0611574 | − | 0.998128i | \(-0.519479\pi\) |
−0.636162 | + | 0.771555i | \(0.719479\pi\) | |||||||
\(998\) | 165.175 | − | 120.006i | 0.165506 | − | 0.120247i | ||||
\(999\) | 1080.11 | − | 258.241i | 1.08119 | − | 0.258500i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 75.3.h.a.14.15 | yes | 72 | |
3.2 | odd | 2 | inner | 75.3.h.a.14.4 | ✓ | 72 | |
5.2 | odd | 4 | 375.3.j.b.176.30 | 144 | |||
5.3 | odd | 4 | 375.3.j.b.176.7 | 144 | |||
5.4 | even | 2 | 375.3.h.a.74.4 | 72 | |||
15.2 | even | 4 | 375.3.j.b.176.8 | 144 | |||
15.8 | even | 4 | 375.3.j.b.176.29 | 144 | |||
15.14 | odd | 2 | 375.3.h.a.74.15 | 72 | |||
25.9 | even | 10 | inner | 75.3.h.a.59.4 | yes | 72 | |
25.12 | odd | 20 | 375.3.j.b.326.8 | 144 | |||
25.13 | odd | 20 | 375.3.j.b.326.29 | 144 | |||
25.16 | even | 5 | 375.3.h.a.299.15 | 72 | |||
75.38 | even | 20 | 375.3.j.b.326.7 | 144 | |||
75.41 | odd | 10 | 375.3.h.a.299.4 | 72 | |||
75.59 | odd | 10 | inner | 75.3.h.a.59.15 | yes | 72 | |
75.62 | even | 20 | 375.3.j.b.326.30 | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
75.3.h.a.14.4 | ✓ | 72 | 3.2 | odd | 2 | inner | |
75.3.h.a.14.15 | yes | 72 | 1.1 | even | 1 | trivial | |
75.3.h.a.59.4 | yes | 72 | 25.9 | even | 10 | inner | |
75.3.h.a.59.15 | yes | 72 | 75.59 | odd | 10 | inner | |
375.3.h.a.74.4 | 72 | 5.4 | even | 2 | |||
375.3.h.a.74.15 | 72 | 15.14 | odd | 2 | |||
375.3.h.a.299.4 | 72 | 75.41 | odd | 10 | |||
375.3.h.a.299.15 | 72 | 25.16 | even | 5 | |||
375.3.j.b.176.7 | 144 | 5.3 | odd | 4 | |||
375.3.j.b.176.8 | 144 | 15.2 | even | 4 | |||
375.3.j.b.176.29 | 144 | 15.8 | even | 4 | |||
375.3.j.b.176.30 | 144 | 5.2 | odd | 4 | |||
375.3.j.b.326.7 | 144 | 75.38 | even | 20 | |||
375.3.j.b.326.8 | 144 | 25.12 | odd | 20 | |||
375.3.j.b.326.29 | 144 | 25.13 | odd | 20 | |||
375.3.j.b.326.30 | 144 | 75.62 | even | 20 |