Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [35,3,Mod(2,35)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(35, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([3, 4]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("35.2");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 35 = 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 35.l (of order \(12\), 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: | \(0.953680925261\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 2.6 | ||
Character | \(\chi\) | \(=\) | 35.2 |
Dual form | 35.3.l.a.18.6 |
$q$-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 \(\left(\mathbb{Z}/35\mathbb{Z}\right)^\times\).
\(n\) | \(22\) | \(31\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.95850 | − | 0.792728i | 1.47925 | − | 0.396364i | 0.573159 | − | 0.819444i | \(-0.305718\pi\) |
0.906092 | + | 0.423080i | \(0.139051\pi\) | |||||||
\(3\) | −2.36445 | − | 0.633552i | −0.788149 | − | 0.211184i | −0.157775 | − | 0.987475i | \(-0.550432\pi\) |
−0.630374 | + | 0.776291i | \(0.717099\pi\) | |||||||
\(4\) | 4.66022 | − | 2.69058i | 1.16505 | − | 0.672645i | ||||
\(5\) | −4.16825 | + | 2.76146i | −0.833650 | + | 0.552293i | ||||
\(6\) | −7.49746 | −1.24958 | ||||||||
\(7\) | 5.78419 | + | 3.94249i | 0.826312 | + | 0.563212i | ||||
\(8\) | 2.99127 | − | 2.99127i | 0.373909 | − | 0.373909i | ||||
\(9\) | −2.60501 | − | 1.50400i | −0.289445 | − | 0.167111i | ||||
\(10\) | −10.1427 | + | 11.4741i | −1.01427 | + | 1.14741i | ||||
\(11\) | −3.12159 | − | 5.40675i | −0.283781 | − | 0.491523i | 0.688532 | − | 0.725206i | \(-0.258256\pi\) |
−0.972313 | + | 0.233683i | \(0.924922\pi\) | |||||||
\(12\) | −12.7235 | + | 3.40924i | −1.06029 | + | 0.284103i | ||||
\(13\) | 11.7345 | − | 11.7345i | 0.902657 | − | 0.902657i | −0.0930085 | − | 0.995665i | \(-0.529648\pi\) |
0.995665 | + | 0.0930085i | \(0.0296484\pi\) | |||||||
\(14\) | 20.2378 | + | 7.07857i | 1.44556 | + | 0.505612i | ||||
\(15\) | 11.6051 | − | 3.88853i | 0.773676 | − | 0.259236i | ||||
\(16\) | −4.28389 | + | 7.41992i | −0.267743 | + | 0.463745i | ||||
\(17\) | 1.22400 | − | 4.56805i | 0.0720003 | − | 0.268709i | −0.920536 | − | 0.390657i | \(-0.872248\pi\) |
0.992536 | + | 0.121949i | \(0.0389144\pi\) | |||||||
\(18\) | −8.89918 | − | 2.38453i | −0.494399 | − | 0.132474i | ||||
\(19\) | −11.4064 | − | 6.58549i | −0.600337 | − | 0.346605i | 0.168837 | − | 0.985644i | \(-0.445999\pi\) |
−0.769174 | + | 0.639039i | \(0.779332\pi\) | |||||||
\(20\) | −11.9950 | + | 24.0840i | −0.599751 | + | 1.20420i | ||||
\(21\) | −11.1786 | − | 12.9864i | −0.532316 | − | 0.618399i | ||||
\(22\) | −13.5213 | − | 13.5213i | −0.614606 | − | 0.614606i | ||||
\(23\) | 9.33654 | + | 34.8444i | 0.405936 | + | 1.51498i | 0.802322 | + | 0.596891i | \(0.203598\pi\) |
−0.396386 | + | 0.918084i | \(0.629736\pi\) | |||||||
\(24\) | −8.96783 | + | 5.17758i | −0.373660 | + | 0.215732i | ||||
\(25\) | 9.74863 | − | 23.0210i | 0.389945 | − | 0.920838i | ||||
\(26\) | 25.4144 | − | 44.0190i | 0.977475 | − | 1.69304i | ||||
\(27\) | 20.7846 | + | 20.7846i | 0.769800 | + | 0.769800i | ||||
\(28\) | 37.5631 | + | 2.81005i | 1.34154 | + | 0.100359i | ||||
\(29\) | − | 28.5683i | − | 0.985114i | −0.870280 | − | 0.492557i | \(-0.836062\pi\) | ||
0.870280 | − | 0.492557i | \(-0.163938\pi\) | |||||||
\(30\) | 31.2513 | − | 20.7040i | 1.04171 | − | 0.690132i | ||||
\(31\) | 10.1948 | + | 17.6579i | 0.328865 | + | 0.569611i | 0.982287 | − | 0.187383i | \(-0.0600006\pi\) |
−0.653422 | + | 0.756994i | \(0.726667\pi\) | |||||||
\(32\) | −11.1715 | + | 41.6924i | −0.349108 | + | 1.30289i | ||||
\(33\) | 3.95538 | + | 14.7617i | 0.119860 | + | 0.447323i | ||||
\(34\) | − | 14.4849i | − | 0.426026i | ||||||
\(35\) | −34.9970 | − | 0.460456i | −0.999913 | − | 0.0131559i | ||||
\(36\) | −16.1865 | −0.449626 | ||||||||
\(37\) | 22.6479 | − | 6.06849i | 0.612106 | − | 0.164013i | 0.0605694 | − | 0.998164i | \(-0.480708\pi\) |
0.551537 | + | 0.834151i | \(0.314042\pi\) | |||||||
\(38\) | −38.9664 | − | 10.4410i | −1.02543 | − | 0.274763i | ||||
\(39\) | −35.1801 | + | 20.3113i | −0.902055 | + | 0.520802i | ||||
\(40\) | −4.20808 | + | 20.7287i | −0.105202 | + | 0.518217i | ||||
\(41\) | −45.1077 | −1.10019 | −0.550094 | − | 0.835103i | \(-0.685408\pi\) | ||||
−0.550094 | + | 0.835103i | \(0.685408\pi\) | |||||||
\(42\) | −43.3667 | − | 29.5586i | −1.03254 | − | 0.703777i | ||||
\(43\) | −21.9185 | + | 21.9185i | −0.509733 | + | 0.509733i | −0.914445 | − | 0.404711i | \(-0.867372\pi\) |
0.404711 | + | 0.914445i | \(0.367372\pi\) | |||||||
\(44\) | −29.0946 | − | 16.7978i | −0.661241 | − | 0.381767i | ||||
\(45\) | 15.0116 | − | 0.924577i | 0.333590 | − | 0.0205461i | ||||
\(46\) | 55.2443 | + | 95.6860i | 1.20096 | + | 2.08013i | ||||
\(47\) | −10.4426 | + | 2.79810i | −0.222184 | + | 0.0595339i | −0.368193 | − | 0.929749i | \(-0.620024\pi\) |
0.146010 | + | 0.989283i | \(0.453357\pi\) | |||||||
\(48\) | 14.8299 | − | 14.8299i | 0.308957 | − | 0.308957i | ||||
\(49\) | 17.9136 | + | 45.6081i | 0.365584 | + | 0.930779i | ||||
\(50\) | 10.5920 | − | 75.8356i | 0.211840 | − | 1.51671i | ||||
\(51\) | −5.78819 | + | 10.0254i | −0.113494 | + | 0.196577i | ||||
\(52\) | 23.1128 | − | 86.2582i | 0.444477 | − | 1.65881i | ||||
\(53\) | −71.6904 | − | 19.2094i | −1.35265 | − | 0.362441i | −0.491537 | − | 0.870856i | \(-0.663565\pi\) |
−0.861112 | + | 0.508415i | \(0.830232\pi\) | |||||||
\(54\) | 77.9678 | + | 45.0147i | 1.44385 | + | 0.833606i | ||||
\(55\) | 27.9421 | + | 13.9165i | 0.508039 | + | 0.253028i | ||||
\(56\) | 29.0951 | − | 5.50902i | 0.519556 | − | 0.0983754i | ||||
\(57\) | 22.7976 | + | 22.7976i | 0.399958 | + | 0.399958i | ||||
\(58\) | −22.6469 | − | 84.5194i | −0.390464 | − | 1.45723i | ||||
\(59\) | −14.6115 | + | 8.43595i | −0.247652 | + | 0.142982i | −0.618689 | − | 0.785636i | \(-0.712336\pi\) |
0.371036 | + | 0.928618i | \(0.379002\pi\) | |||||||
\(60\) | 43.6201 | − | 49.3459i | 0.727001 | − | 0.822432i | ||||
\(61\) | 16.7743 | − | 29.0540i | 0.274989 | − | 0.476295i | −0.695143 | − | 0.718871i | \(-0.744659\pi\) |
0.970132 | + | 0.242576i | \(0.0779924\pi\) | |||||||
\(62\) | 44.1593 | + | 44.1593i | 0.712247 | + | 0.712247i | ||||
\(63\) | −9.13833 | − | 18.9696i | −0.145053 | − | 0.301105i | ||||
\(64\) | 97.9319i | 1.53019i | ||||||||
\(65\) | −16.5080 | + | 81.3170i | −0.253969 | + | 1.25103i | ||||
\(66\) | 23.4040 | + | 40.5369i | 0.354606 | + | 0.614196i | ||||
\(67\) | 25.6891 | − | 95.8731i | 0.383420 | − | 1.43094i | −0.457223 | − | 0.889352i | \(-0.651156\pi\) |
0.840643 | − | 0.541590i | \(-0.182177\pi\) | |||||||
\(68\) | −6.58656 | − | 24.5814i | −0.0968612 | − | 0.361491i | ||||
\(69\) | − | 88.3030i | − | 1.27975i | ||||||
\(70\) | −103.904 | + | 26.3808i | −1.48434 | + | 0.376869i | ||||
\(71\) | 66.2415 | 0.932979 | 0.466489 | − | 0.884527i | \(-0.345519\pi\) | ||||
0.466489 | + | 0.884527i | \(0.345519\pi\) | |||||||
\(72\) | −12.2912 | + | 3.29341i | −0.170711 | + | 0.0457417i | ||||
\(73\) | 99.8826 | + | 26.7635i | 1.36825 | + | 0.366623i | 0.866841 | − | 0.498585i | \(-0.166147\pi\) |
0.501414 | + | 0.865208i | \(0.332813\pi\) | |||||||
\(74\) | 62.1933 | − | 35.9073i | 0.840450 | − | 0.485234i | ||||
\(75\) | −37.6351 | + | 48.2556i | −0.501801 | + | 0.643407i | ||||
\(76\) | −70.8751 | −0.932567 | ||||||||
\(77\) | 3.26020 | − | 43.5805i | 0.0423402 | − | 0.565980i | ||||
\(78\) | −87.9792 | + | 87.9792i | −1.12794 | + | 1.12794i | ||||
\(79\) | −36.1253 | − | 20.8569i | −0.457282 | − | 0.264012i | 0.253619 | − | 0.967304i | \(-0.418379\pi\) |
−0.710901 | + | 0.703292i | \(0.751712\pi\) | |||||||
\(80\) | −2.63350 | − | 42.7579i | −0.0329188 | − | 0.534474i | ||||
\(81\) | −22.4400 | − | 38.8671i | −0.277036 | − | 0.479841i | ||||
\(82\) | −133.451 | + | 35.7582i | −1.62745 | + | 0.436075i | ||||
\(83\) | 7.39450 | − | 7.39450i | 0.0890904 | − | 0.0890904i | −0.661157 | − | 0.750247i | \(-0.729934\pi\) |
0.750247 | + | 0.661157i | \(0.229934\pi\) | |||||||
\(84\) | −87.0357 | − | 30.4424i | −1.03614 | − | 0.362409i | ||||
\(85\) | 7.51254 | + | 22.4208i | 0.0883828 | + | 0.263774i | ||||
\(86\) | −47.4706 | + | 82.2215i | −0.551984 | + | 0.956064i | ||||
\(87\) | −18.0995 | + | 67.5483i | −0.208040 | + | 0.776417i | ||||
\(88\) | −25.5106 | − | 6.83554i | −0.289893 | − | 0.0776766i | ||||
\(89\) | −19.2257 | − | 11.0999i | −0.216019 | − | 0.124718i | 0.388087 | − | 0.921623i | \(-0.373136\pi\) |
−0.604105 | + | 0.796904i | \(0.706469\pi\) | |||||||
\(90\) | 43.6788 | − | 14.6355i | 0.485320 | − | 0.162616i | ||||
\(91\) | 114.138 | − | 21.6115i | 1.25426 | − | 0.237489i | ||||
\(92\) | 137.262 | + | 137.262i | 1.49198 | + | 1.49198i | ||||
\(93\) | −12.9179 | − | 48.2102i | −0.138902 | − | 0.518389i | ||||
\(94\) | −28.6764 | + | 16.5563i | −0.305068 | + | 0.176131i | ||||
\(95\) | 65.7303 | − | 4.04840i | 0.691898 | − | 0.0426147i | ||||
\(96\) | 52.8286 | − | 91.5018i | 0.550298 | − | 0.953144i | ||||
\(97\) | −73.6717 | − | 73.6717i | −0.759502 | − | 0.759502i | 0.216730 | − | 0.976232i | \(-0.430461\pi\) |
−0.976232 | + | 0.216730i | \(0.930461\pi\) | |||||||
\(98\) | 89.1523 | + | 120.731i | 0.909717 | + | 1.23195i | ||||
\(99\) | 18.7795i | 0.189692i | ||||||||
\(100\) | −16.5089 | − | 133.512i | −0.165089 | − | 1.33512i | ||||
\(101\) | −0.211559 | − | 0.366431i | −0.00209464 | − | 0.00362803i | 0.864976 | − | 0.501813i | \(-0.167333\pi\) |
−0.867071 | + | 0.498185i | \(0.834000\pi\) | |||||||
\(102\) | −9.17692 | + | 34.2488i | −0.0899699 | + | 0.335772i | ||||
\(103\) | 8.74233 | + | 32.6268i | 0.0848770 | + | 0.316765i | 0.995291 | − | 0.0969334i | \(-0.0309034\pi\) |
−0.910414 | + | 0.413699i | \(0.864237\pi\) | |||||||
\(104\) | − | 70.2024i | − | 0.675023i | ||||||
\(105\) | 82.4568 | + | 23.2611i | 0.785303 | + | 0.221534i | ||||
\(106\) | −227.324 | −2.14457 | ||||||||
\(107\) | 19.7531 | − | 5.29283i | 0.184609 | − | 0.0494657i | −0.165330 | − | 0.986238i | \(-0.552869\pi\) |
0.349939 | + | 0.936773i | \(0.386202\pi\) | |||||||
\(108\) | 152.783 | + | 40.9382i | 1.41466 | + | 0.379057i | ||||
\(109\) | −63.2172 | + | 36.4985i | −0.579974 | + | 0.334848i | −0.761123 | − | 0.648607i | \(-0.775352\pi\) |
0.181149 | + | 0.983456i | \(0.442018\pi\) | |||||||
\(110\) | 93.6989 | + | 19.0216i | 0.851808 | + | 0.172924i | ||||
\(111\) | −57.3945 | −0.517068 | ||||||||
\(112\) | −54.0318 | + | 26.0290i | −0.482426 | + | 0.232402i | ||||
\(113\) | 37.4431 | − | 37.4431i | 0.331355 | − | 0.331355i | −0.521746 | − | 0.853101i | \(-0.674719\pi\) |
0.853101 | + | 0.521746i | \(0.174719\pi\) | |||||||
\(114\) | 85.5190 | + | 49.3744i | 0.750167 | + | 0.433109i | ||||
\(115\) | −135.139 | − | 119.458i | −1.17512 | − | 1.03876i | ||||
\(116\) | −76.8653 | − | 133.135i | −0.662632 | − | 1.14771i | ||||
\(117\) | −48.2173 | + | 12.9198i | −0.412114 | + | 0.110426i | ||||
\(118\) | −36.5407 | + | 36.5407i | −0.309667 | + | 0.309667i | ||||
\(119\) | 25.0893 | − | 21.5968i | 0.210835 | − | 0.181486i | ||||
\(120\) | 23.0825 | − | 46.3458i | 0.192354 | − | 0.386215i | ||||
\(121\) | 41.0113 | − | 71.0337i | 0.338937 | − | 0.587056i | ||||
\(122\) | 26.5950 | − | 99.2538i | 0.217992 | − | 0.813556i | ||||
\(123\) | 106.655 | + | 28.5781i | 0.867112 | + | 0.232342i | ||||
\(124\) | 95.0201 | + | 54.8599i | 0.766291 | + | 0.442418i | ||||
\(125\) | 22.9368 | + | 122.878i | 0.183494 | + | 0.983021i | ||||
\(126\) | −42.0735 | − | 48.8775i | −0.333917 | − | 0.387916i | ||||
\(127\) | 14.8254 | + | 14.8254i | 0.116736 | + | 0.116736i | 0.763061 | − | 0.646326i | \(-0.223695\pi\) |
−0.646326 | + | 0.763061i | \(0.723695\pi\) | |||||||
\(128\) | 32.9476 | + | 122.962i | 0.257403 | + | 0.960642i | ||||
\(129\) | 65.7117 | − | 37.9387i | 0.509393 | − | 0.294098i | ||||
\(130\) | 15.6233 | + | 253.663i | 0.120180 | + | 1.95125i | ||||
\(131\) | −22.2565 | + | 38.5494i | −0.169897 | + | 0.294270i | −0.938383 | − | 0.345596i | \(-0.887677\pi\) |
0.768487 | + | 0.639866i | \(0.221010\pi\) | |||||||
\(132\) | 58.1504 | + | 58.1504i | 0.440533 | + | 0.440533i | ||||
\(133\) | −40.0135 | − | 83.0613i | −0.300854 | − | 0.624521i | ||||
\(134\) | − | 304.005i | − | 2.26870i | ||||||
\(135\) | −144.031 | − | 29.2395i | −1.06690 | − | 0.216589i | ||||
\(136\) | −10.0029 | − | 17.3256i | −0.0735511 | − | 0.127394i | ||||
\(137\) | −37.2653 | + | 139.076i | −0.272009 | + | 1.01515i | 0.685810 | + | 0.727781i | \(0.259448\pi\) |
−0.957819 | + | 0.287372i | \(0.907218\pi\) | |||||||
\(138\) | −70.0003 | − | 261.245i | −0.507249 | − | 1.89308i | ||||
\(139\) | 191.287i | 1.37616i | 0.725634 | + | 0.688081i | \(0.241547\pi\) | ||||
−0.725634 | + | 0.688081i | \(0.758453\pi\) | |||||||
\(140\) | −164.332 | + | 92.0163i | −1.17380 | + | 0.657259i | ||||
\(141\) | 26.4638 | 0.187686 | ||||||||
\(142\) | 195.976 | − | 52.5115i | 1.38011 | − | 0.369799i | ||||
\(143\) | −100.076 | − | 26.8153i | −0.699834 | − | 0.187520i | ||||
\(144\) | 22.3191 | − | 12.8860i | 0.154994 | − | 0.0894858i | ||||
\(145\) | 78.8904 | + | 119.080i | 0.544072 | + | 0.821241i | ||||
\(146\) | 316.719 | 2.16931 | ||||||||
\(147\) | −13.4606 | − | 119.187i | −0.0915689 | − | 0.810798i | ||||
\(148\) | 89.2165 | − | 89.2165i | 0.602814 | − | 0.602814i | ||||
\(149\) | −29.0196 | − | 16.7545i | −0.194762 | − | 0.112446i | 0.399448 | − | 0.916756i | \(-0.369202\pi\) |
−0.594210 | + | 0.804310i | \(0.702535\pi\) | |||||||
\(150\) | −73.0900 | + | 172.599i | −0.487266 | + | 1.15066i | ||||
\(151\) | −21.4781 | − | 37.2012i | −0.142239 | − | 0.246365i | 0.786100 | − | 0.618099i | \(-0.212097\pi\) |
−0.928339 | + | 0.371734i | \(0.878764\pi\) | |||||||
\(152\) | −53.8187 | + | 14.4207i | −0.354070 | + | 0.0948728i | ||||
\(153\) | −10.0589 | + | 10.0589i | −0.0657444 | + | 0.0657444i | ||||
\(154\) | −24.9022 | − | 131.517i | −0.161703 | − | 0.854010i | ||||
\(155\) | −91.2563 | − | 45.4501i | −0.588750 | − | 0.293226i | ||||
\(156\) | −109.298 | + | 189.310i | −0.700629 | + | 1.21352i | ||||
\(157\) | −19.3536 | + | 72.2287i | −0.123271 | + | 0.460055i | −0.999772 | − | 0.0213453i | \(-0.993205\pi\) |
0.876501 | + | 0.481400i | \(0.159872\pi\) | |||||||
\(158\) | −123.411 | − | 33.0678i | −0.781080 | − | 0.209290i | ||||
\(159\) | 157.338 | + | 90.8392i | 0.989548 | + | 0.571316i | ||||
\(160\) | −68.5667 | − | 204.634i | −0.428542 | − | 1.27896i | ||||
\(161\) | −83.3694 | + | 238.356i | −0.517823 | + | 1.48047i | ||||
\(162\) | −97.1998 | − | 97.1998i | −0.599998 | − | 0.599998i | ||||
\(163\) | 31.7047 | + | 118.324i | 0.194507 | + | 0.725912i | 0.992394 | + | 0.123104i | \(0.0392848\pi\) |
−0.797886 | + | 0.602808i | \(0.794049\pi\) | |||||||
\(164\) | −210.212 | + | 121.366i | −1.28178 | + | 0.740035i | ||||
\(165\) | −57.2508 | − | 50.6077i | −0.346975 | − | 0.306713i | ||||
\(166\) | 16.0148 | − | 27.7385i | 0.0964748 | − | 0.167099i | ||||
\(167\) | −102.412 | − | 102.412i | −0.613244 | − | 0.613244i | 0.330546 | − | 0.943790i | \(-0.392767\pi\) |
−0.943790 | + | 0.330546i | \(0.892767\pi\) | |||||||
\(168\) | −72.2841 | − | 5.40747i | −0.430263 | − | 0.0321874i | ||||
\(169\) | − | 106.399i | − | 0.629579i | ||||||
\(170\) | 39.9995 | + | 60.3766i | 0.235291 | + | 0.355157i | ||||
\(171\) | 19.8092 | + | 34.3105i | 0.115843 | + | 0.200646i | ||||
\(172\) | −43.1716 | + | 161.119i | −0.250998 | + | 0.936736i | ||||
\(173\) | −37.4559 | − | 139.787i | −0.216508 | − | 0.808020i | −0.985630 | − | 0.168918i | \(-0.945973\pi\) |
0.769122 | − | 0.639102i | \(-0.220694\pi\) | |||||||
\(174\) | 214.190i | 1.23098i | ||||||||
\(175\) | 147.148 | − | 94.7236i | 0.840844 | − | 0.541278i | ||||
\(176\) | 53.4902 | 0.303922 | ||||||||
\(177\) | 39.8927 | − | 10.6892i | 0.225382 | − | 0.0603911i | ||||
\(178\) | −65.6784 | − | 17.5985i | −0.368980 | − | 0.0988679i | ||||
\(179\) | 53.2683 | − | 30.7544i | 0.297588 | − | 0.171813i | −0.343771 | − | 0.939054i | \(-0.611704\pi\) |
0.641359 | + | 0.767241i | \(0.278371\pi\) | |||||||
\(180\) | 67.4695 | − | 44.6985i | 0.374831 | − | 0.248325i | ||||
\(181\) | −96.6453 | −0.533952 | −0.266976 | − | 0.963703i | \(-0.586024\pi\) | ||||
−0.266976 | + | 0.963703i | \(0.586024\pi\) | |||||||
\(182\) | 320.546 | − | 154.418i | 1.76124 | − | 0.848451i | ||||
\(183\) | −58.0692 | + | 58.0692i | −0.317318 | + | 0.317318i | ||||
\(184\) | 132.157 | + | 76.3011i | 0.718246 | + | 0.414680i | ||||
\(185\) | −77.6443 | + | 87.8364i | −0.419699 | + | 0.474791i | ||||
\(186\) | −76.4352 | − | 132.390i | −0.410942 | − | 0.711772i | ||||
\(187\) | −28.5192 | + | 7.64169i | −0.152509 | + | 0.0408646i | ||||
\(188\) | −41.1365 | + | 41.1365i | −0.218811 | + | 0.218811i | ||||
\(189\) | 38.2790 | + | 202.165i | 0.202534 | + | 1.06966i | ||||
\(190\) | 191.254 | − | 64.0835i | 1.00660 | − | 0.337282i | ||||
\(191\) | 168.824 | − | 292.411i | 0.883893 | − | 1.53095i | 0.0369153 | − | 0.999318i | \(-0.488247\pi\) |
0.846977 | − | 0.531629i | \(-0.178420\pi\) | |||||||
\(192\) | 62.0450 | − | 231.555i | 0.323151 | − | 1.20602i | ||||
\(193\) | 165.599 | + | 44.3720i | 0.858024 | + | 0.229907i | 0.660902 | − | 0.750472i | \(-0.270174\pi\) |
0.197122 | + | 0.980379i | \(0.436840\pi\) | |||||||
\(194\) | −276.360 | − | 159.556i | −1.42453 | − | 0.822455i | ||||
\(195\) | 90.5508 | − | 181.811i | 0.464363 | − | 0.932365i | ||||
\(196\) | 206.194 | + | 164.346i | 1.05201 | + | 0.838500i | ||||
\(197\) | 133.522 | + | 133.522i | 0.677777 | + | 0.677777i | 0.959497 | − | 0.281720i | \(-0.0909049\pi\) |
−0.281720 | + | 0.959497i | \(0.590905\pi\) | |||||||
\(198\) | 14.8870 | + | 55.5592i | 0.0751871 | + | 0.280602i | ||||
\(199\) | 179.523 | − | 103.648i | 0.902127 | − | 0.520843i | 0.0242371 | − | 0.999706i | \(-0.492284\pi\) |
0.877890 | + | 0.478863i | \(0.158951\pi\) | |||||||
\(200\) | −39.7011 | − | 98.0227i | −0.198506 | − | 0.490114i | ||||
\(201\) | −121.481 | + | 210.411i | −0.604384 | + | 1.04682i | ||||
\(202\) | −0.916378 | − | 0.916378i | −0.00453653 | − | 0.00453653i | ||||
\(203\) | 112.630 | − | 165.244i | 0.554829 | − | 0.814012i | ||||
\(204\) | 62.2943i | 0.305364i | ||||||||
\(205\) | 188.020 | − | 124.563i | 0.917172 | − | 0.607626i | ||||
\(206\) | 51.7284 | + | 89.5962i | 0.251109 | + | 0.434933i | ||||
\(207\) | 28.0843 | − | 104.812i | 0.135673 | − | 0.506339i | ||||
\(208\) | 36.7998 | + | 137.339i | 0.176922 | + | 0.660283i | ||||
\(209\) | 82.2288i | 0.393439i | ||||||||
\(210\) | 262.388 | + | 3.45225i | 1.24947 | + | 0.0164393i | ||||
\(211\) | −143.499 | −0.680092 | −0.340046 | − | 0.940409i | \(-0.610443\pi\) | ||||
−0.340046 | + | 0.940409i | \(0.610443\pi\) | |||||||
\(212\) | −385.777 | + | 103.369i | −1.81970 | + | 0.487588i | ||||
\(213\) | −156.624 | − | 41.9674i | −0.735326 | − | 0.197030i | ||||
\(214\) | 54.2439 | − | 31.3177i | 0.253476 | − | 0.146344i | ||||
\(215\) | 30.8347 | − | 151.889i | 0.143417 | − | 0.706461i | ||||
\(216\) | 124.345 | 0.575670 | ||||||||
\(217\) | −10.6475 | + | 142.330i | −0.0490667 | + | 0.655897i | ||||
\(218\) | −158.095 | + | 158.095i | −0.725206 | + | 0.725206i | ||||
\(219\) | −219.211 | − | 126.562i | −1.00096 | − | 0.577907i | ||||
\(220\) | 167.660 | − | 10.3263i | 0.762091 | − | 0.0469379i | ||||
\(221\) | −39.2408 | − | 67.9671i | −0.177560 | − | 0.307543i | ||||
\(222\) | −169.802 | + | 45.4983i | −0.764873 | + | 0.204947i | ||||
\(223\) | −294.434 | + | 294.434i | −1.32033 | + | 1.32033i | −0.406822 | + | 0.913507i | \(0.633363\pi\) |
−0.913507 | + | 0.406822i | \(0.866637\pi\) | |||||||
\(224\) | −228.990 | + | 197.113i | −1.02227 | + | 0.879971i | ||||
\(225\) | −60.0188 | + | 45.3078i | −0.266750 | + | 0.201368i | ||||
\(226\) | 81.0932 | − | 140.458i | 0.358820 | − | 0.621494i | ||||
\(227\) | −39.0177 | + | 145.616i | −0.171884 | + | 0.641481i | 0.825177 | + | 0.564874i | \(0.191075\pi\) |
−0.997061 | + | 0.0766067i | \(0.975591\pi\) | |||||||
\(228\) | 167.580 | + | 44.9030i | 0.735002 | + | 0.196943i | ||||
\(229\) | −371.780 | − | 214.647i | −1.62349 | − | 0.937324i | −0.985976 | − | 0.166888i | \(-0.946628\pi\) |
−0.637517 | − | 0.770436i | \(-0.720038\pi\) | |||||||
\(230\) | −494.506 | − | 246.288i | −2.15002 | − | 1.07082i | ||||
\(231\) | −35.3191 | + | 100.978i | −0.152896 | + | 0.437135i | ||||
\(232\) | −85.4556 | − | 85.4556i | −0.368343 | − | 0.368343i | ||||
\(233\) | 80.0187 | + | 298.634i | 0.343428 | + | 1.28169i | 0.894438 | + | 0.447192i | \(0.147576\pi\) |
−0.551010 | + | 0.834499i | \(0.685757\pi\) | |||||||
\(234\) | −132.409 | + | 76.4464i | −0.565851 | + | 0.326694i | ||||
\(235\) | 35.8007 | − | 40.5001i | 0.152343 | − | 0.172341i | ||||
\(236\) | −45.3951 | + | 78.6267i | −0.192352 | + | 0.333164i | ||||
\(237\) | 72.2024 | + | 72.2024i | 0.304651 | + | 0.304651i | ||||
\(238\) | 57.1065 | − | 83.7833i | 0.239943 | − | 0.352031i | ||||
\(239\) | 8.06350i | 0.0337385i | 0.999858 | + | 0.0168692i | \(0.00536990\pi\) | ||||
−0.999858 | + | 0.0168692i | \(0.994630\pi\) | |||||||
\(240\) | −20.8626 | + | 102.767i | −0.0869274 | + | 0.428197i | ||||
\(241\) | 80.5302 | + | 139.482i | 0.334150 | + | 0.578765i | 0.983321 | − | 0.181877i | \(-0.0582173\pi\) |
−0.649171 | + | 0.760643i | \(0.724884\pi\) | |||||||
\(242\) | 65.0217 | − | 242.664i | 0.268685 | − | 1.00275i | ||||
\(243\) | −40.0355 | − | 149.414i | −0.164755 | − | 0.614874i | ||||
\(244\) | − | 180.531i | − | 0.739880i | ||||||
\(245\) | −200.614 | − | 140.638i | −0.818831 | − | 0.574035i | ||||
\(246\) | 338.193 | 1.37477 | ||||||||
\(247\) | −211.127 | + | 56.5712i | −0.854763 | + | 0.229033i | ||||
\(248\) | 83.3151 | + | 22.3242i | 0.335948 | + | 0.0900170i | ||||
\(249\) | −22.1687 | + | 12.7991i | −0.0890310 | + | 0.0514020i | ||||
\(250\) | 165.267 | + | 345.351i | 0.661068 | + | 1.38140i | ||||
\(251\) | 353.645 | 1.40894 | 0.704472 | − | 0.709732i | \(-0.251184\pi\) | ||||
0.704472 | + | 0.709732i | \(0.251184\pi\) | |||||||
\(252\) | −93.6259 | − | 63.8152i | −0.371531 | − | 0.253235i | ||||
\(253\) | 159.250 | − | 159.250i | 0.629448 | − | 0.629448i | ||||
\(254\) | 55.6136 | + | 32.1085i | 0.218951 | + | 0.126411i | ||||
\(255\) | −3.55826 | − | 57.7724i | −0.0139540 | − | 0.226559i | ||||
\(256\) | −0.912626 | − | 1.58071i | −0.00356495 | − | 0.00617467i | ||||
\(257\) | 410.808 | − | 110.076i | 1.59848 | − | 0.428310i | 0.653894 | − | 0.756586i | \(-0.273134\pi\) |
0.944582 | + | 0.328276i | \(0.106468\pi\) | |||||||
\(258\) | 164.333 | − | 164.333i | 0.636951 | − | 0.636951i | ||||
\(259\) | 154.925 | + | 54.1878i | 0.598165 | + | 0.209219i | ||||
\(260\) | 141.859 | + | 423.371i | 0.545611 | + | 1.62835i | ||||
\(261\) | −42.9668 | + | 74.4206i | −0.164624 | + | 0.285137i | ||||
\(262\) | −35.2867 | + | 131.692i | −0.134682 | + | 0.502640i | ||||
\(263\) | 54.3856 | + | 14.5726i | 0.206789 | + | 0.0554090i | 0.360727 | − | 0.932672i | \(-0.382529\pi\) |
−0.153937 | + | 0.988081i | \(0.549195\pi\) | |||||||
\(264\) | 55.9878 | + | 32.3246i | 0.212075 | + | 0.122442i | ||||
\(265\) | 351.870 | − | 117.901i | 1.32781 | − | 0.444909i | ||||
\(266\) | −184.225 | − | 214.017i | −0.692576 | − | 0.804576i | ||||
\(267\) | 38.4257 | + | 38.4257i | 0.143916 | + | 0.143916i | ||||
\(268\) | −138.237 | − | 515.908i | −0.515810 | − | 1.92503i | ||||
\(269\) | 383.575 | − | 221.457i | 1.42593 | − | 0.823261i | 0.429133 | − | 0.903241i | \(-0.358819\pi\) |
0.996796 | + | 0.0799807i | \(0.0254859\pi\) | |||||||
\(270\) | −449.296 | + | 27.6726i | −1.66406 | + | 0.102491i | ||||
\(271\) | 36.5421 | − | 63.2927i | 0.134842 | − | 0.233552i | −0.790695 | − | 0.612210i | \(-0.790281\pi\) |
0.925537 | + | 0.378657i | \(0.123614\pi\) | |||||||
\(272\) | 28.6510 | + | 28.6510i | 0.105335 | + | 0.105335i | ||||
\(273\) | −283.565 | − | 21.2131i | −1.03870 | − | 0.0777037i | ||||
\(274\) | 440.998i | 1.60948i | ||||||||
\(275\) | −154.900 | + | 19.1535i | −0.563272 | + | 0.0696492i | ||||
\(276\) | −237.586 | − | 411.511i | −0.860819 | − | 1.49098i | ||||
\(277\) | −48.1733 | + | 179.785i | −0.173911 | + | 0.649043i | 0.822824 | + | 0.568296i | \(0.192397\pi\) |
−0.996735 | + | 0.0807471i | \(0.974269\pi\) | |||||||
\(278\) | 151.638 | + | 565.922i | 0.545461 | + | 2.03569i | ||||
\(279\) | − | 61.3320i | − | 0.219828i | ||||||
\(280\) | −106.063 | + | 103.308i | −0.378796 | + | 0.368958i | ||||
\(281\) | −466.249 | −1.65925 | −0.829624 | − | 0.558322i | \(-0.811445\pi\) | ||||
−0.829624 | + | 0.558322i | \(0.811445\pi\) | |||||||
\(282\) | 78.2932 | − | 20.9786i | 0.277635 | − | 0.0743922i | ||||
\(283\) | −227.191 | − | 60.8755i | −0.802793 | − | 0.215108i | −0.165983 | − | 0.986129i | \(-0.553080\pi\) |
−0.636810 | + | 0.771021i | \(0.719746\pi\) | |||||||
\(284\) | 308.700 | − | 178.228i | 1.08697 | − | 0.627563i | ||||
\(285\) | −157.981 | − | 32.0714i | −0.554319 | − | 0.112531i | ||||
\(286\) | −317.333 | −1.10956 | ||||||||
\(287\) | −260.911 | − | 177.837i | −0.909099 | − | 0.619639i | ||||
\(288\) | 91.8071 | − | 91.8071i | 0.318775 | − | 0.318775i | ||||
\(289\) | 230.912 | + | 133.317i | 0.799005 | + | 0.461306i | ||||
\(290\) | 327.795 | + | 289.760i | 1.13033 | + | 0.999171i | ||||
\(291\) | 127.518 | + | 220.868i | 0.438206 | + | 0.758995i | ||||
\(292\) | 537.484 | − | 144.018i | 1.84070 | − | 0.493214i | ||||
\(293\) | 269.768 | − | 269.768i | 0.920711 | − | 0.920711i | −0.0763691 | − | 0.997080i | \(-0.524333\pi\) |
0.997080 | + | 0.0763691i | \(0.0243327\pi\) | |||||||
\(294\) | −134.306 | − | 341.945i | −0.456825 | − | 1.16308i | ||||
\(295\) | 37.6088 | − | 75.5122i | 0.127487 | − | 0.255974i | ||||
\(296\) | 49.5936 | − | 85.8986i | 0.167546 | − | 0.290198i | ||||
\(297\) | 47.4962 | − | 177.258i | 0.159920 | − | 0.596829i | ||||
\(298\) | −99.1362 | − | 26.5635i | −0.332672 | − | 0.0891392i | ||||
\(299\) | 518.443 | + | 299.323i | 1.73392 | + | 1.00108i | ||||
\(300\) | −45.5524 | + | 326.142i | −0.151841 | + | 1.08714i | ||||
\(301\) | −213.194 | + | 40.3673i | −0.708287 | + | 0.134111i | ||||
\(302\) | −93.0334 | − | 93.0334i | −0.308058 | − | 0.308058i | ||||
\(303\) | 0.268067 | + | 1.00044i | 0.000884710 | + | 0.00330178i | ||||
\(304\) | 97.7276 | − | 56.4231i | 0.321472 | − | 0.185602i | ||||
\(305\) | 10.3119 | + | 167.426i | 0.0338096 | + | 0.548938i | ||||
\(306\) | −21.7853 | + | 37.7332i | −0.0711937 | + | 0.123311i | ||||
\(307\) | −93.9665 | − | 93.9665i | −0.306080 | − | 0.306080i | 0.537307 | − | 0.843387i | \(-0.319442\pi\) |
−0.843387 | + | 0.537307i | \(0.819442\pi\) | |||||||
\(308\) | −102.064 | − | 211.866i | −0.331375 | − | 0.687878i | ||||
\(309\) | − | 82.6831i | − | 0.267583i | ||||||
\(310\) | −306.012 | − | 62.1228i | −0.987134 | − | 0.200396i | ||||
\(311\) | −10.2138 | − | 17.6908i | −0.0328418 | − | 0.0568837i | 0.849137 | − | 0.528172i | \(-0.177122\pi\) |
−0.881979 | + | 0.471288i | \(0.843789\pi\) | |||||||
\(312\) | −44.4768 | + | 165.990i | −0.142554 | + | 0.532019i | ||||
\(313\) | −61.0200 | − | 227.730i | −0.194952 | − | 0.727571i | −0.992279 | − | 0.124024i | \(-0.960420\pi\) |
0.797327 | − | 0.603547i | \(-0.206247\pi\) | |||||||
\(314\) | 229.031i | 0.729398i | ||||||||
\(315\) | 90.4748 | + | 53.8350i | 0.287222 | + | 0.170905i | ||||
\(316\) | −224.469 | −0.710345 | ||||||||
\(317\) | 192.112 | − | 51.4761i | 0.606030 | − | 0.162385i | 0.0572611 | − | 0.998359i | \(-0.481763\pi\) |
0.548769 | + | 0.835974i | \(0.315097\pi\) | |||||||
\(318\) | 537.496 | + | 144.022i | 1.69024 | + | 0.452898i | ||||
\(319\) | −154.462 | + | 89.1786i | −0.484207 | + | 0.279557i | ||||
\(320\) | −270.436 | − | 408.205i | −0.845111 | − | 1.27564i | ||||
\(321\) | −50.0585 | −0.155945 | ||||||||
\(322\) | −57.6973 | + | 771.266i | −0.179184 | + | 2.39523i | ||||
\(323\) | −44.0443 | + | 44.0443i | −0.136360 | + | 0.136360i | ||||
\(324\) | −209.150 | − | 120.753i | −0.645525 | − | 0.372694i | ||||
\(325\) | −155.745 | − | 384.536i | −0.479214 | − | 1.18319i | ||||
\(326\) | 187.597 | + | 324.927i | 0.575451 | + | 0.996710i | ||||
\(327\) | 172.597 | − | 46.2473i | 0.527821 | − | 0.141429i | ||||
\(328\) | −134.929 | + | 134.929i | −0.411370 | + | 0.411370i | ||||
\(329\) | −71.4336 | − | 24.9852i | −0.217123 | − | 0.0759430i | ||||
\(330\) | −209.495 | − | 104.339i | −0.634833 | − | 0.316178i | ||||
\(331\) | −14.1019 | + | 24.4253i | −0.0426041 | + | 0.0737924i | −0.886541 | − | 0.462650i | \(-0.846899\pi\) |
0.843937 | + | 0.536442i | \(0.180232\pi\) | |||||||
\(332\) | 14.5645 | − | 54.3555i | 0.0438690 | − | 0.163721i | ||||
\(333\) | −68.1250 | − | 18.2540i | −0.204580 | − | 0.0548169i | ||||
\(334\) | −384.170 | − | 221.801i | −1.15021 | − | 0.664074i | ||||
\(335\) | 157.671 | + | 470.563i | 0.470661 | + | 1.40466i | ||||
\(336\) | 144.246 | − | 27.3123i | 0.429303 | − | 0.0812865i | ||||
\(337\) | −143.639 | − | 143.639i | −0.426230 | − | 0.426230i | 0.461112 | − | 0.887342i | \(-0.347451\pi\) |
−0.887342 | + | 0.461112i | \(0.847451\pi\) | |||||||
\(338\) | −84.3453 | − | 314.781i | −0.249542 | − | 0.931305i | ||||
\(339\) | −112.254 | + | 64.8100i | −0.331134 | + | 0.191180i | ||||
\(340\) | 95.3350 | + | 84.2728i | 0.280397 | + | 0.247861i | ||||
\(341\) | 63.6481 | − | 110.242i | 0.186651 | − | 0.323289i | ||||
\(342\) | 85.8044 | + | 85.8044i | 0.250890 | + | 0.250890i | ||||
\(343\) | −76.1940 | + | 334.430i | −0.222140 | + | 0.975015i | ||||
\(344\) | 131.129i | 0.381188i | ||||||||
\(345\) | 243.846 | + | 368.069i | 0.706799 | + | 1.06687i | ||||
\(346\) | −221.627 | − | 383.869i | −0.640540 | − | 1.10945i | ||||
\(347\) | −120.779 | + | 450.752i | −0.348066 | + | 1.29900i | 0.540924 | + | 0.841071i | \(0.318075\pi\) |
−0.888990 | + | 0.457927i | \(0.848592\pi\) | |||||||
\(348\) | 97.3963 | + | 363.488i | 0.279874 | + | 1.04451i | ||||
\(349\) | − | 585.176i | − | 1.67672i | −0.545115 | − | 0.838361i | \(-0.683514\pi\) | ||
0.545115 | − | 0.838361i | \(-0.316486\pi\) | |||||||
\(350\) | 360.247 | − | 396.888i | 1.02928 | − | 1.13397i | ||||
\(351\) | 487.795 | 1.38973 | ||||||||
\(352\) | 260.293 | − | 69.7454i | 0.739470 | − | 0.198140i | ||||
\(353\) | 435.638 | + | 116.729i | 1.23410 | + | 0.330676i | 0.816175 | − | 0.577805i | \(-0.196091\pi\) |
0.417926 | + | 0.908481i | \(0.362757\pi\) | |||||||
\(354\) | 109.549 | − | 63.2482i | 0.309460 | − | 0.178667i | ||||
\(355\) | −276.111 | + | 182.923i | −0.777778 | + | 0.515277i | ||||
\(356\) | −119.461 | −0.335565 | ||||||||
\(357\) | −73.0051 | + | 35.1691i | −0.204496 | + | 0.0985130i | ||||
\(358\) | 133.214 | − | 133.214i | 0.372107 | − | 0.372107i | ||||
\(359\) | −391.709 | − | 226.154i | −1.09111 | − | 0.629954i | −0.157240 | − | 0.987560i | \(-0.550260\pi\) |
−0.933872 | + | 0.357606i | \(0.883593\pi\) | |||||||
\(360\) | 42.1380 | − | 47.6693i | 0.117050 | − | 0.132415i | ||||
\(361\) | −93.7626 | − | 162.402i | −0.259730 | − | 0.449866i | ||||
\(362\) | −285.925 | + | 76.6134i | −0.789849 | + | 0.211639i | ||||
\(363\) | −141.973 | + | 141.973i | −0.391109 | + | 0.391109i | ||||
\(364\) | 473.761 | − | 407.811i | 1.30154 | − | 1.12036i | ||||
\(365\) | −490.242 | + | 164.265i | −1.34313 | + | 0.450042i | ||||
\(366\) | −125.765 | + | 217.831i | −0.343620 | + | 0.595167i | ||||
\(367\) | −127.353 | + | 475.287i | −0.347010 | + | 1.29506i | 0.543236 | + | 0.839580i | \(0.317199\pi\) |
−0.890246 | + | 0.455480i | \(0.849468\pi\) | |||||||
\(368\) | −298.540 | − | 79.9934i | −0.811249 | − | 0.217373i | ||||
\(369\) | 117.506 | + | 67.8420i | 0.318444 | + | 0.183854i | ||||
\(370\) | −160.080 | + | 321.415i | −0.432650 | + | 0.868690i | ||||
\(371\) | −338.938 | − | 393.749i | −0.913579 | − | 1.06132i | ||||
\(372\) | −189.913 | − | 189.913i | −0.510520 | − | 0.510520i | ||||
\(373\) | 58.9285 | + | 219.924i | 0.157985 | + | 0.589609i | 0.998831 | + | 0.0483344i | \(0.0153913\pi\) |
−0.840846 | + | 0.541274i | \(0.817942\pi\) | |||||||
\(374\) | −78.3162 | + | 45.2159i | −0.209402 | + | 0.120898i | ||||
\(375\) | 23.6165 | − | 305.069i | 0.0629774 | − | 0.813518i | ||||
\(376\) | −22.8669 | + | 39.6066i | −0.0608162 | + | 0.105337i | ||||
\(377\) | −335.236 | − | 335.236i | −0.889220 | − | 0.889220i | ||||
\(378\) | 273.510 | + | 567.761i | 0.723572 | + | 1.50201i | ||||
\(379\) | 568.936i | 1.50115i | 0.660784 | + | 0.750576i | \(0.270224\pi\) | ||||
−0.660784 | + | 0.750576i | \(0.729776\pi\) | |||||||
\(380\) | 295.425 | − | 195.719i | 0.777435 | − | 0.515050i | ||||
\(381\) | −25.6613 | − | 44.4466i | −0.0673524 | − | 0.116658i | ||||
\(382\) | 267.662 | − | 998.930i | 0.700687 | − | 2.61500i | ||||
\(383\) | −5.88759 | − | 21.9728i | −0.0153723 | − | 0.0573702i | 0.957814 | − | 0.287390i | \(-0.0927876\pi\) |
−0.973186 | + | 0.230020i | \(0.926121\pi\) | |||||||
\(384\) | − | 311.612i | − | 0.811489i | ||||||
\(385\) | 106.757 | + | 190.657i | 0.277290 | + | 0.495214i | ||||
\(386\) | 525.099 | 1.36036 | ||||||||
\(387\) | 90.0634 | − | 24.1324i | 0.232722 | − | 0.0623577i | ||||
\(388\) | −541.546 | − | 145.107i | −1.39574 | − | 0.373986i | ||||
\(389\) | −427.548 | + | 246.845i | −1.09909 | + | 0.634562i | −0.935983 | − | 0.352045i | \(-0.885486\pi\) |
−0.163111 | + | 0.986608i | \(0.552153\pi\) | |||||||
\(390\) | 123.768 | − | 609.671i | 0.317354 | − | 1.56326i | ||||
\(391\) | 170.599 | 0.436315 | ||||||||
\(392\) | 190.011 | + | 82.8419i | 0.484721 | + | 0.211331i | ||||
\(393\) | 77.0473 | − | 77.0473i | 0.196049 | − | 0.196049i | ||||
\(394\) | 500.872 | + | 289.179i | 1.27125 | + | 0.733956i | ||||
\(395\) | 208.175 | − | 12.8217i | 0.527025 | − | 0.0324600i | ||||
\(396\) | 50.5277 | + | 87.5166i | 0.127595 | + | 0.221001i | ||||
\(397\) | −97.1023 | + | 26.0185i | −0.244590 | + | 0.0655377i | −0.379031 | − | 0.925384i | \(-0.623743\pi\) |
0.134441 | + | 0.990922i | \(0.457076\pi\) | |||||||
\(398\) | 448.955 | − | 448.955i | 1.12803 | − | 1.12803i | ||||
\(399\) | 41.9863 | + | 221.745i | 0.105229 | + | 0.555751i | ||||
\(400\) | 129.051 | + | 170.953i | 0.322629 | + | 0.427383i | ||||
\(401\) | −115.076 | + | 199.317i | −0.286972 | + | 0.497050i | −0.973086 | − | 0.230444i | \(-0.925982\pi\) |
0.686113 | + | 0.727495i | \(0.259315\pi\) | |||||||
\(402\) | −192.603 | + | 718.804i | −0.479112 | + | 1.78807i | ||||
\(403\) | 326.839 | + | 87.5763i | 0.811015 | + | 0.217311i | ||||
\(404\) | −1.97182 | − | 1.13843i | −0.00488075 | − | 0.00281790i | ||||
\(405\) | 200.866 | + | 100.041i | 0.495964 | + | 0.247015i | ||||
\(406\) | 202.223 | − | 578.161i | 0.498086 | − | 1.42404i | ||||
\(407\) | −103.508 | − | 103.508i | −0.254320 | − | 0.254320i | ||||
\(408\) | 12.6748 | + | 47.3029i | 0.0310656 | + | 0.115938i | ||||
\(409\) | −628.868 | + | 363.077i | −1.53758 | + | 0.887720i | −0.538596 | + | 0.842564i | \(0.681045\pi\) |
−0.998980 | + | 0.0451555i | \(0.985622\pi\) | |||||||
\(410\) | 457.513 | − | 517.570i | 1.11589 | − | 1.26237i | ||||
\(411\) | 176.224 | − | 305.228i | 0.428768 | − | 0.742648i | ||||
\(412\) | 128.526 | + | 128.526i | 0.311957 | + | 0.311957i | ||||
\(413\) | −117.774 | − | 8.81052i | −0.285167 | − | 0.0213330i | ||||
\(414\) | − | 332.350i | − | 0.802778i | ||||||
\(415\) | −10.4025 | + | 51.2418i | −0.0250662 | + | 0.123474i | ||||
\(416\) | 358.150 | + | 620.333i | 0.860936 | + | 1.49119i | ||||
\(417\) | 121.190 | − | 452.287i | 0.290623 | − | 1.08462i | ||||
\(418\) | 65.1851 | + | 243.274i | 0.155945 | + | 0.581996i | ||||
\(419\) | 168.701i | 0.402628i | 0.979527 | + | 0.201314i | \(0.0645211\pi\) | ||||
−0.979527 | + | 0.201314i | \(0.935479\pi\) | |||||||
\(420\) | 446.852 | − | 113.455i | 1.06393 | − | 0.270130i | ||||
\(421\) | 584.470 | 1.38829 | 0.694145 | − | 0.719836i | \(-0.255783\pi\) | ||||
0.694145 | + | 0.719836i | \(0.255783\pi\) | |||||||
\(422\) | −424.544 | + | 113.756i | −1.00603 | + | 0.269564i | ||||
\(423\) | 31.4115 | + | 8.41668i | 0.0742588 | + | 0.0198976i | ||||
\(424\) | −271.906 | + | 156.985i | −0.641288 | + | 0.370248i | ||||
\(425\) | −93.2284 | − | 72.7100i | −0.219361 | − | 0.171082i | ||||
\(426\) | −496.643 | −1.16583 | ||||||||
\(427\) | 211.571 | − | 101.921i | 0.495482 | − | 0.238691i | ||||
\(428\) | 77.8131 | − | 77.8131i | 0.181806 | − | 0.181806i | ||||
\(429\) | 219.636 | + | 126.807i | 0.511972 | + | 0.295587i | ||||
\(430\) | −29.1823 | − | 473.808i | −0.0678658 | − | 1.10188i | ||||
\(431\) | 64.6697 | + | 112.011i | 0.150046 | + | 0.259887i | 0.931244 | − | 0.364396i | \(-0.118725\pi\) |
−0.781198 | + | 0.624283i | \(0.785391\pi\) | |||||||
\(432\) | −243.259 | + | 65.1810i | −0.563099 | + | 0.150882i | ||||
\(433\) | 80.7522 | − | 80.7522i | 0.186495 | − | 0.186495i | −0.607684 | − | 0.794179i | \(-0.707901\pi\) |
0.794179 | + | 0.607684i | \(0.207901\pi\) | |||||||
\(434\) | 81.3282 | + | 429.523i | 0.187392 | + | 0.989685i | ||||
\(435\) | −111.089 | − | 331.539i | −0.255377 | − | 0.762159i | ||||
\(436\) | −196.404 | + | 340.182i | −0.450468 | + | 0.780233i | ||||
\(437\) | 122.971 | − | 458.935i | 0.281399 | − | 1.05020i | ||||
\(438\) | −748.865 | − | 200.658i | −1.70974 | − | 0.458123i | ||||
\(439\) | −473.216 | − | 273.211i | −1.07794 | − | 0.622349i | −0.147601 | − | 0.989047i | \(-0.547155\pi\) |
−0.930340 | + | 0.366698i | \(0.880488\pi\) | |||||||
\(440\) | 125.211 | − | 41.9543i | 0.284570 | − | 0.0953508i | ||||
\(441\) | 21.9297 | − | 145.752i | 0.0497271 | − | 0.330502i | ||||
\(442\) | −169.973 | − | 169.973i | −0.384555 | − | 0.384555i | ||||
\(443\) | −125.794 | − | 469.471i | −0.283960 | − | 1.05975i | −0.949596 | − | 0.313477i | \(-0.898506\pi\) |
0.665635 | − | 0.746277i | \(-0.268161\pi\) | |||||||
\(444\) | −267.471 | + | 154.424i | −0.602412 | + | 0.347803i | ||||
\(445\) | 110.790 | − | 6.82363i | 0.248965 | − | 0.0153340i | ||||
\(446\) | −637.676 | + | 1104.49i | −1.42977 | + | 2.47643i | ||||
\(447\) | 58.0004 | + | 58.0004i | 0.129755 | + | 0.129755i | ||||
\(448\) | −386.095 | + | 566.456i | −0.861820 | + | 1.26441i | ||||
\(449\) | − | 403.465i | − | 0.898586i | −0.893385 | − | 0.449293i | \(-0.851676\pi\) | ||
0.893385 | − | 0.449293i | \(-0.148324\pi\) | |||||||
\(450\) | −141.649 | + | 181.622i | −0.314775 | + | 0.403604i | ||||
\(451\) | 140.808 | + | 243.886i | 0.312212 | + | 0.540768i | ||||
\(452\) | 73.7494 | − | 275.236i | 0.163162 | − | 0.608930i | ||||
\(453\) | 27.2150 | + | 101.568i | 0.0600772 | + | 0.224211i | ||||
\(454\) | 461.736i | 1.01704i | ||||||||
\(455\) | −416.077 | + | 405.270i | −0.914454 | + | 0.890703i | ||||
\(456\) | 136.388 | 0.299096 | ||||||||
\(457\) | −109.577 | + | 29.3611i | −0.239775 | + | 0.0642474i | −0.376705 | − | 0.926333i | \(-0.622943\pi\) |
0.136930 | + | 0.990581i | \(0.456276\pi\) | |||||||
\(458\) | −1270.07 | − | 340.314i | −2.77308 | − | 0.743043i | ||||
\(459\) | 120.385 | − | 69.5046i | 0.262278 | − | 0.151426i | ||||
\(460\) | −951.186 | − | 193.098i | −2.06780 | − | 0.419779i | ||||
\(461\) | −268.155 | −0.581681 | −0.290841 | − | 0.956772i | \(-0.593935\pi\) | ||||
−0.290841 | + | 0.956772i | \(0.593935\pi\) | |||||||
\(462\) | −24.4432 | + | 326.743i | −0.0529073 | + | 0.707236i | ||||
\(463\) | 191.993 | − | 191.993i | 0.414671 | − | 0.414671i | −0.468691 | − | 0.883362i | \(-0.655274\pi\) |
0.883362 | + | 0.468691i | \(0.155274\pi\) | |||||||
\(464\) | 211.975 | + | 122.384i | 0.456842 | + | 0.263758i | ||||
\(465\) | 186.976 | + | 165.280i | 0.402098 | + | 0.355441i | ||||
\(466\) | 473.471 | + | 820.076i | 1.01603 | + | 1.75982i | ||||
\(467\) | 54.1285 | − | 14.5037i | 0.115907 | − | 0.0310572i | −0.200399 | − | 0.979714i | \(-0.564224\pi\) |
0.316306 | + | 0.948657i | \(0.397557\pi\) | |||||||
\(468\) | −189.941 | + | 189.941i | −0.405858 | + | 0.405858i | ||||
\(469\) | 526.569 | − | 453.269i | 1.12275 | − | 0.966458i | ||||
\(470\) | 73.8108 | − | 148.200i | 0.157044 | − | 0.315319i | ||||
\(471\) | 91.5212 | − | 158.519i | 0.194312 | − | 0.336559i | ||||
\(472\) | −18.4727 | + | 68.9411i | −0.0391371 | + | 0.146062i | ||||
\(473\) | 186.929 | + | 50.0874i | 0.395198 | + | 0.105893i | ||||
\(474\) | 270.848 | + | 156.374i | 0.571409 | + | 0.329903i | ||||
\(475\) | −262.801 | + | 198.387i | −0.553265 | + | 0.417656i | ||||
\(476\) | 58.8139 | − | 168.151i | 0.123559 | − | 0.353258i | ||||
\(477\) | 157.863 | + | 157.863i | 0.330950 | + | 0.330950i | ||||
\(478\) | 6.39217 | + | 23.8559i | 0.0133727 | + | 0.0499077i | ||||
\(479\) | 285.149 | − | 164.631i | 0.595301 | − | 0.343697i | −0.171890 | − | 0.985116i | \(-0.554987\pi\) |
0.767191 | + | 0.641419i | \(0.221654\pi\) | |||||||
\(480\) | 32.4761 | + | 527.287i | 0.0676586 | + | 1.09851i | ||||
\(481\) | 194.552 | − | 336.974i | 0.404474 | − | 0.700569i | ||||
\(482\) | 348.821 | + | 348.821i | 0.723694 | + | 0.723694i | ||||
\(483\) | 348.133 | − | 510.761i | 0.720773 | − | 1.05748i | ||||
\(484\) | − | 441.377i | − | 0.911936i | ||||||
\(485\) | 510.524 | + | 103.640i | 1.05263 | + | 0.213691i | ||||
\(486\) | −236.890 | − | 410.306i | −0.487428 | − | 0.844250i | ||||
\(487\) | 87.3154 | − | 325.866i | 0.179292 | − | 0.669128i | −0.816488 | − | 0.577362i | \(-0.804082\pi\) |
0.995781 | − | 0.0917662i | \(-0.0292513\pi\) | |||||||
\(488\) | −36.7318 | − | 137.085i | −0.0752701 | − | 0.280912i | ||||
\(489\) | − | 299.856i | − | 0.613203i | ||||||
\(490\) | −705.004 | − | 257.047i | −1.43878 | − | 0.524586i | ||||
\(491\) | −387.132 | −0.788456 | −0.394228 | − | 0.919013i | \(-0.628988\pi\) | ||||
−0.394228 | + | 0.919013i | \(0.628988\pi\) | |||||||
\(492\) | 573.926 | − | 153.783i | 1.16652 | − | 0.312567i | ||||
\(493\) | −130.501 | − | 34.9678i | −0.264709 | − | 0.0709285i | ||||
\(494\) | −579.773 | + | 334.732i | −1.17363 | + | 0.677595i | ||||
\(495\) | −51.8589 | − | 78.2777i | −0.104765 | − | 0.158137i | ||||
\(496\) | −174.694 | −0.352205 | ||||||||
\(497\) | 383.153 | + | 261.156i | 0.770932 | + | 0.525465i | ||||
\(498\) | −55.4400 | + | 55.4400i | −0.111325 | + | 0.111325i | ||||
\(499\) | −535.365 | − | 309.093i | −1.07288 | − | 0.619425i | −0.143910 | − | 0.989591i | \(-0.545968\pi\) |
−0.928966 | + | 0.370166i | \(0.879301\pi\) | |||||||
\(500\) | 437.502 | + | 510.923i | 0.875004 | + | 1.02185i | ||||
\(501\) | 177.264 | + | 307.030i | 0.353821 | + | 0.612835i | ||||
\(502\) | 1046.26 | − | 280.344i | 2.08418 | − | 0.558455i | ||||
\(503\) | −64.4794 | + | 64.4794i | −0.128190 | + | 0.128190i | −0.768291 | − | 0.640101i | \(-0.778892\pi\) |
0.640101 | + | 0.768291i | \(0.278892\pi\) | |||||||
\(504\) | −84.0785 | − | 29.4081i | −0.166822 | − | 0.0583493i | ||||
\(505\) | 1.89372 | + | 0.943164i | 0.00374993 | + | 0.00186765i | ||||
\(506\) | 344.900 | − | 597.385i | 0.681621 | − | 1.18060i | ||||
\(507\) | −67.4091 | + | 251.574i | −0.132957 | + | 0.496202i | ||||
\(508\) | 108.979 | + | 29.2007i | 0.214525 | + | 0.0574818i | ||||
\(509\) | 465.249 | + | 268.611i | 0.914044 | + | 0.527724i | 0.881730 | − | 0.471754i | \(-0.156379\pi\) |
0.0323142 | + | 0.999478i | \(0.489712\pi\) | |||||||
\(510\) | −56.3250 | − | 168.099i | −0.110441 | − | 0.329606i | ||||
\(511\) | 472.225 | + | 548.591i | 0.924119 | + | 1.07356i | ||||
\(512\) | −364.011 | − | 364.011i | −0.710960 | − | 0.710960i | ||||
\(513\) | −100.201 | − | 373.954i | −0.195323 | − | 0.728956i | ||||
\(514\) | 1128.12 | − | 651.319i | 2.19478 | − | 1.26716i | ||||
\(515\) | −126.538 | − | 111.855i | −0.245705 | − | 0.217194i | ||||
\(516\) | 204.154 | − | 353.605i | 0.395647 | − | 0.685281i | ||||
\(517\) | 47.7262 | + | 47.7262i | 0.0923138 | + | 0.0923138i | ||||
\(518\) | 501.301 | + | 37.5017i | 0.967763 | + | 0.0723970i | ||||
\(519\) | 354.250i | 0.682563i | ||||||||
\(520\) | 193.861 | + | 292.621i | 0.372810 | + | 0.562733i | ||||
\(521\) | −333.155 | − | 577.042i | −0.639453 | − | 1.10757i | −0.985553 | − | 0.169368i | \(-0.945827\pi\) |
0.346099 | − | 0.938198i | \(-0.387506\pi\) | |||||||
\(522\) | −68.1220 | + | 254.235i | −0.130502 | + | 0.487040i | ||||
\(523\) | 121.685 | + | 454.136i | 0.232668 | + | 0.868329i | 0.979186 | + | 0.202964i | \(0.0650574\pi\) |
−0.746518 | + | 0.665365i | \(0.768276\pi\) | |||||||
\(524\) | 239.531i | 0.457121i | ||||||||
\(525\) | −407.935 | + | 130.743i | −0.777019 | + | 0.249035i | ||||
\(526\) | 172.452 | 0.327856 | ||||||||
\(527\) | 93.1408 | − | 24.9570i | 0.176738 | − | 0.0473567i | ||||
\(528\) | −126.475 | − | 33.8888i | −0.239536 | − | 0.0641834i | ||||
\(529\) | −668.836 | + | 386.153i | −1.26434 | + | 0.729967i | ||||
\(530\) | 947.544 | − | 627.747i | 1.78782 | − | 1.18443i | ||||
\(531\) | 50.7507 | 0.0955757 | ||||||||
\(532\) | −409.955 | − | 279.424i | −0.770592 | − | 0.525233i | ||||
\(533\) | −529.318 | + | 529.318i | −0.993092 | + | 0.993092i | ||||
\(534\) | 144.144 | + | 83.2214i | 0.269932 | + | 0.155845i | ||||
\(535\) | −67.7200 | + | 76.6094i | −0.126579 | + | 0.143195i | ||||
\(536\) | −209.939 | − | 363.626i | −0.391678 | − | 0.678406i | ||||
\(537\) | −145.435 | + | 38.9691i | −0.270828 | + | 0.0725681i | ||||
\(538\) | 959.252 | − | 959.252i | 1.78300 | − | 1.78300i | ||||
\(539\) | 190.673 | − | 239.224i | 0.353753 | − | 0.443830i | ||||
\(540\) | −749.889 | + | 251.265i | −1.38868 | + | 0.465306i | ||||
\(541\) | −16.6073 | + | 28.7646i | −0.0306973 | + | 0.0531693i | −0.880966 | − | 0.473180i | \(-0.843106\pi\) |
0.850269 | + | 0.526349i | \(0.176439\pi\) | |||||||
\(542\) | 57.9359 | − | 216.220i | 0.106893 | − | 0.398929i | ||||
\(543\) | 228.513 | + | 61.2298i | 0.420834 | + | 0.112762i | ||||
\(544\) | 176.779 | + | 102.063i | 0.324962 | + | 0.187617i | ||||
\(545\) | 162.716 | − | 326.707i | 0.298561 | − | 0.599462i | ||||
\(546\) | −855.745 | + | 162.031i | −1.56730 | + | 0.296760i | ||||
\(547\) | −495.595 | − | 495.595i | −0.906024 | − | 0.906024i | 0.0899243 | − | 0.995949i | \(-0.471337\pi\) |
−0.995949 | + | 0.0899243i | \(0.971337\pi\) | |||||||
\(548\) | 200.530 | + | 748.389i | 0.365931 | + | 1.36567i | ||||
\(549\) | −87.3945 | + | 50.4572i | −0.159188 | + | 0.0919075i | ||||
\(550\) | −443.088 | + | 179.459i | −0.805615 | + | 0.326290i | ||||
\(551\) | −188.136 | + | 325.862i | −0.341445 | + | 0.591401i | ||||
\(552\) | −264.138 | − | 264.138i | −0.478511 | − | 0.478511i | ||||
\(553\) | −126.727 | − | 263.064i | −0.229163 | − | 0.475703i | ||||
\(554\) | 570.083i | 1.02903i | ||||||||
\(555\) | 239.235 | − | 158.493i | 0.431054 | − | 0.285573i | ||||
\(556\) | 514.671 | + | 891.437i | 0.925668 | + | 1.60330i | ||||
\(557\) | −189.223 | + | 706.189i | −0.339718 | + | 1.26784i | 0.558946 | + | 0.829204i | \(0.311206\pi\) |
−0.898663 | + | 0.438639i | \(0.855461\pi\) | |||||||
\(558\) | −48.6196 | − | 181.451i | −0.0871320 | − | 0.325181i | ||||
\(559\) | 514.408i | 0.920228i | ||||||||
\(560\) | 153.340 | − | 257.702i | 0.273821 | − | 0.460182i | ||||
\(561\) | 72.2734 | 0.128830 | ||||||||
\(562\) | −1379.40 | + | 369.609i | −2.45445 | + | 0.657667i | ||||
\(563\) | −175.573 | − | 47.0445i | −0.311852 | − | 0.0835604i | 0.0994987 | − | 0.995038i | \(-0.468276\pi\) |
−0.411350 | + | 0.911477i | \(0.634943\pi\) | |||||||
\(564\) | 123.327 | − | 71.2029i | 0.218665 | − | 0.126246i | ||||
\(565\) | −52.6744 | + | 259.470i | −0.0932291 | + | 0.459239i | ||||
\(566\) | −720.401 | −1.27279 | ||||||||
\(567\) | 23.4363 | − | 313.284i | 0.0413339 | − | 0.552529i | ||||
\(568\) | 198.146 | − | 198.146i | 0.348849 | − | 0.348849i | ||||
\(569\) | −161.027 | − | 92.9689i | −0.283000 | − | 0.163390i | 0.351781 | − | 0.936082i | \(-0.385576\pi\) |
−0.634781 | + | 0.772692i | \(0.718910\pi\) | |||||||
\(570\) | −492.811 | + | 30.3527i | −0.864580 | + | 0.0532503i | ||||
\(571\) | −459.608 | − | 796.064i | −0.804917 | − | 1.39416i | −0.916347 | − | 0.400385i | \(-0.868876\pi\) |
0.111430 | − | 0.993772i | \(-0.464457\pi\) | |||||||
\(572\) | −538.526 | + | 144.298i | −0.941478 | + | 0.252268i | ||||
\(573\) | −584.432 | + | 584.432i | −1.01995 | + | 1.01995i | ||||
\(574\) | −912.883 | − | 319.298i | −1.59039 | − | 0.556268i | ||||
\(575\) | 893.170 | + | 124.750i | 1.55334 | + | 0.216956i | ||||
\(576\) | 147.290 | − | 255.113i | 0.255711 | − | 0.442905i | ||||
\(577\) | 29.5595 | − | 110.318i | 0.0512297 | − | 0.191192i | −0.935569 | − | 0.353144i | \(-0.885112\pi\) |
0.986799 | + | 0.161952i | \(0.0517791\pi\) | |||||||
\(578\) | 788.840 | + | 211.369i | 1.36477 | + | 0.365690i | ||||
\(579\) | −363.437 | − | 209.831i | −0.627698 | − | 0.362402i | ||||
\(580\) | 688.040 | + | 342.678i | 1.18628 | + | 0.590824i | ||||
\(581\) | 71.9239 | − | 13.6184i | 0.123793 | − | 0.0234397i | ||||
\(582\) | 552.350 | + | 552.350i | 0.949056 | + | 0.949056i | ||||
\(583\) | 119.928 | + | 447.576i | 0.205708 | + | 0.767712i | ||||
\(584\) | 378.833 | − | 218.719i | 0.648686 | − | 0.374519i | ||||
\(585\) | 165.304 | − | 187.003i | 0.282571 | − | 0.319664i | ||||
\(586\) | 584.257 | − | 1011.96i | 0.997026 | − | 1.72690i | ||||
\(587\) | 425.502 | + | 425.502i | 0.724875 | + | 0.724875i | 0.969594 | − | 0.244719i | \(-0.0786956\pi\) |
−0.244719 | + | 0.969594i | \(0.578696\pi\) | |||||||
\(588\) | −383.412 | − | 519.222i | −0.652061 | − | 0.883030i | ||||
\(589\) | − | 268.551i | − | 0.455945i | ||||||
\(590\) | 51.4050 | − | 253.217i | 0.0871271 | − | 0.429181i | ||||
\(591\) | −231.113 | − | 400.299i | −0.391054 | − | 0.677325i | ||||
\(592\) | −51.9935 | + | 194.043i | −0.0878269 | + | 0.327775i | ||||
\(593\) | 2.24058 | + | 8.36195i | 0.00377838 | + | 0.0141011i | 0.967789 | − | 0.251762i | \(-0.0810099\pi\) |
−0.964011 | + | 0.265863i | \(0.914343\pi\) | |||||||
\(594\) | − | 562.070i | − | 0.946247i | ||||||
\(595\) | −44.9398 | + | 159.304i | −0.0755292 | + | 0.267738i | ||||
\(596\) | −180.317 | −0.302545 | ||||||||
\(597\) | −490.139 | + | 131.332i | −0.821004 | + | 0.219987i | ||||
\(598\) | 1771.10 | + | 474.564i | 2.96170 | + | 0.793586i | ||||
\(599\) | 576.293 | − | 332.723i | 0.962092 | − | 0.555464i | 0.0652757 | − | 0.997867i | \(-0.479207\pi\) |
0.896816 | + | 0.442403i | \(0.145874\pi\) | |||||||
\(600\) | 31.7687 | + | 256.922i | 0.0529478 | + | 0.428204i | ||||
\(601\) | 492.128 | 0.818849 | 0.409424 | − | 0.912344i | \(-0.365730\pi\) | ||||
0.409424 | + | 0.912344i | \(0.365730\pi\) | |||||||
\(602\) | −598.736 | + | 288.432i | −0.994578 | + | 0.479123i | ||||
\(603\) | −211.114 | + | 211.114i | −0.350105 | + | 0.350105i | ||||
\(604\) | −200.185 | − | 115.577i | −0.331433 | − | 0.191353i | ||||
\(605\) | 25.2115 | + | 409.338i | 0.0416719 | + | 0.676591i | ||||
\(606\) | 1.58615 | + | 2.74730i | 0.00261742 | + | 0.00453350i | ||||
\(607\) | 504.962 | − | 135.304i | 0.831898 | − | 0.222906i | 0.182356 | − | 0.983232i | \(-0.441628\pi\) |
0.649542 | + | 0.760326i | \(0.274961\pi\) | |||||||
\(608\) | 401.991 | − | 401.991i | 0.661170 | − | 0.661170i | ||||
\(609\) | −370.999 | + | 319.355i | −0.609194 | + | 0.524392i | ||||
\(610\) | 163.231 | + | 487.156i | 0.267592 | + | 0.798616i | ||||
\(611\) | −89.7051 | + | 155.374i | −0.146817 | + | 0.254294i | ||||
\(612\) | −19.8124 | + | 73.9408i | −0.0323732 | + | 0.120818i | ||||
\(613\) | 331.820 | + | 88.9109i | 0.541305 | + | 0.145042i | 0.519104 | − | 0.854711i | \(-0.326266\pi\) |
0.0222014 | + | 0.999754i | \(0.492932\pi\) | |||||||
\(614\) | −352.490 | − | 203.510i | −0.574088 | − | 0.331450i | ||||
\(615\) | −523.481 | + | 175.403i | −0.851189 | + | 0.285208i | ||||
\(616\) | −120.609 | − | 140.113i | −0.195794 | − | 0.227457i | ||||
\(617\) | 332.862 | + | 332.862i | 0.539485 | + | 0.539485i | 0.923378 | − | 0.383892i | \(-0.125417\pi\) |
−0.383892 | + | 0.923378i | \(0.625417\pi\) | |||||||
\(618\) | −65.5453 | − | 244.618i | −0.106060 | − | 0.395822i | ||||
\(619\) | −60.4937 | + | 34.9260i | −0.0977280 | + | 0.0564233i | −0.548067 | − | 0.836434i | \(-0.684636\pi\) |
0.450339 | + | 0.892857i | \(0.351303\pi\) | |||||||
\(620\) | −547.561 | + | 33.7248i | −0.883163 | + | 0.0543949i | ||||
\(621\) | −530.171 | + | 918.284i | −0.853738 | + | 1.47872i | ||||
\(622\) | −44.2416 | − | 44.2416i | −0.0711279 | − | 0.0711279i | ||||
\(623\) | −67.4434 | − | 140.001i | −0.108256 | − | 0.224721i | ||||
\(624\) | − | 348.045i | − | 0.557764i | ||||||
\(625\) | −434.928 | − | 448.846i | −0.695885 | − | 0.718153i | ||||
\(626\) | −361.056 | − | 625.367i | −0.576766 | − | 0.998989i | ||||
\(627\) | 52.0962 | − | 194.426i | 0.0830881 | − | 0.310089i | ||||
\(628\) | 104.145 | + | 388.674i | 0.165836 | + | 0.618907i | ||||
\(629\) | − | 110.885i | − | 0.176287i | ||||||
\(630\) | 310.346 | + | 87.5489i | 0.492613 | + | 0.138967i | ||||
\(631\) | −764.553 | −1.21165 | −0.605826 | − | 0.795597i | \(-0.707157\pi\) | ||||
−0.605826 | + | 0.795597i | \(0.707157\pi\) | |||||||
\(632\) | −170.449 | + | 45.6718i | −0.269698 | + | 0.0722654i | ||||
\(633\) | 339.297 | + | 90.9143i | 0.536014 | + | 0.143625i | ||||
\(634\) | 527.556 | − | 304.585i | 0.832107 | − | 0.480417i | ||||
\(635\) | −102.736 | − | 20.8562i | −0.161789 | − | 0.0328444i | ||||
\(636\) | 977.640 | 1.53717 | ||||||||
\(637\) | 745.398 | + | 324.983i | 1.17017 | + | 0.510177i | ||||
\(638\) | −386.281 | + | 386.281i | −0.605457 | + | 0.605457i | ||||
\(639\) | −172.559 | − | 99.6273i | −0.270046 | − | 0.155911i | ||||
\(640\) | −476.890 | − | 421.554i | −0.745140 | − | 0.658678i | ||||
\(641\) | −384.061 | − | 665.213i | −0.599159 | − | 1.03777i | −0.992945 | − | 0.118572i | \(-0.962168\pi\) |
0.393786 | − | 0.919202i | \(-0.371165\pi\) | |||||||
\(642\) | −148.098 | + | 39.6828i | −0.230683 | + | 0.0618112i | ||||
\(643\) | −568.614 | + | 568.614i | −0.884314 | + | 0.884314i | −0.993970 | − | 0.109655i | \(-0.965025\pi\) |
0.109655 | + | 0.993970i | \(0.465025\pi\) | |||||||
\(644\) | 252.795 | + | 1335.10i | 0.392539 | + | 2.07314i | ||||
\(645\) | −169.137 | + | 339.599i | −0.262227 | + | 0.526509i | ||||
\(646\) | −95.3901 | + | 165.220i | −0.147663 | + | 0.255759i | ||||
\(647\) | 181.932 | − | 678.979i | 0.281193 | − | 1.04943i | −0.670383 | − | 0.742015i | \(-0.733870\pi\) |
0.951576 | − | 0.307412i | \(-0.0994630\pi\) | |||||||
\(648\) | −183.386 | − | 49.1382i | −0.283003 | − | 0.0758305i | ||||
\(649\) | 91.2222 | + | 52.6671i | 0.140558 | + | 0.0811512i | ||||
\(650\) | −765.603 | − | 1014.19i | −1.17785 | − | 1.56029i | ||||
\(651\) | 115.349 | − | 329.785i | 0.177187 | − | 0.506583i | ||||
\(652\) | 466.110 | + | 466.110i | 0.714892 | + | 0.714892i | ||||
\(653\) | 2.19525 | + | 8.19277i | 0.00336179 | + | 0.0125464i | 0.967586 | − | 0.252540i | \(-0.0812661\pi\) |
−0.964225 | + | 0.265087i | \(0.914599\pi\) | |||||||
\(654\) | 473.968 | − | 273.646i | 0.724722 | − | 0.418419i | ||||
\(655\) | −13.6821 | − | 222.144i | −0.0208886 | − | 0.339151i | ||||
\(656\) | 193.237 | − | 334.695i | 0.294568 | − | 0.510206i | ||||
\(657\) | −219.942 | − | 219.942i | −0.334768 | − | 0.334768i | ||||
\(658\) | −231.143 | − | 17.2915i | −0.351281 | − | 0.0262788i | ||||
\(659\) | − | 365.363i | − | 0.554420i | −0.960809 | − | 0.277210i | \(-0.910590\pi\) | ||
0.960809 | − | 0.277210i | \(-0.0894097\pi\) | |||||||
\(660\) | −402.965 | − | 81.8052i | −0.610554 | − | 0.123947i | ||||
\(661\) | 343.193 | + | 594.427i | 0.519202 | + | 0.899285i | 0.999751 | + | 0.0223166i | \(0.00710417\pi\) |
−0.480549 | + | 0.876968i | \(0.659562\pi\) | |||||||
\(662\) | −22.3580 | + | 83.4413i | −0.0337734 | + | 0.126044i | ||||
\(663\) | 49.7222 | + | 185.566i | 0.0749957 | + | 0.279888i | ||||
\(664\) | − | 44.2379i | − | 0.0666234i | ||||||
\(665\) | 396.157 | + | 235.724i | 0.595725 | + | 0.354473i | ||||
\(666\) | −216.018 | −0.324352 | ||||||||
\(667\) | 995.447 | − | 266.729i | 1.49242 | − | 0.399894i | ||||
\(668\) | −752.808 | − | 201.714i | −1.12696 | − | 0.301968i | ||||
\(669\) | 882.711 | − | 509.634i | 1.31945 | − | 0.761784i | ||||
\(670\) | 839.500 | + | 1267.17i | 1.25298 | + | 1.89130i | ||||
\(671\) | −209.450 | −0.312147 | ||||||||
\(672\) | 666.315 | − | 320.988i | 0.991541 | − | 0.477660i | ||||
\(673\) | 475.382 | − | 475.382i | 0.706362 | − | 0.706362i | −0.259406 | − | 0.965768i | \(-0.583527\pi\) |
0.965768 | + | 0.259406i | \(0.0835269\pi\) | |||||||
\(674\) | −538.825 | − | 311.091i | −0.799443 | − | 0.461559i | ||||
\(675\) | 681.103 | − | 275.860i | 1.00904 | − | 0.408681i | ||||
\(676\) | −286.274 | − | 495.842i | −0.423483 | − | 0.733493i | ||||
\(677\) | −856.760 | + | 229.568i | −1.26552 | + | 0.339096i | −0.828315 | − | 0.560263i | \(-0.810700\pi\) |
−0.437210 | + | 0.899359i | \(0.644033\pi\) | |||||||
\(678\) | −280.728 | + | 280.728i | −0.414053 | + | 0.414053i | ||||
\(679\) | −135.681 | − | 716.580i | −0.199825 | − | 1.05535i | ||||
\(680\) | 89.5388 | + | 44.5947i | 0.131675 | + | 0.0655805i | ||||
\(681\) | 184.511 | − | 319.582i | 0.270941 | − | 0.469283i | ||||
\(682\) | 100.911 | − | 376.606i | 0.147964 | − | 0.552208i | ||||
\(683\) | 361.286 | + | 96.8062i | 0.528969 | + | 0.141737i | 0.513412 | − | 0.858142i | \(-0.328381\pi\) |
0.0155567 | + | 0.999879i | \(0.495048\pi\) | |||||||
\(684\) | 184.630 | + | 106.596i | 0.269927 | + | 0.155842i | ||||
\(685\) | −228.722 | − | 682.610i | −0.333901 | − | 0.996511i | ||||
\(686\) | 39.6922 | + | 1049.81i | 0.0578604 | + | 1.53034i | ||||
\(687\) | 743.064 | + | 743.064i | 1.08161 | + | 1.08161i | ||||
\(688\) | −68.7371 | − | 256.530i | −0.0999086 | − | 0.372864i | ||||
\(689\) | −1066.67 | + | 615.841i | −1.54814 | + | 0.893818i | ||||
\(690\) | 1013.20 | + | 895.630i | 1.46840 | + | 1.29801i | ||||
\(691\) | −606.569 | + | 1050.61i | −0.877813 | + | 1.52042i | −0.0240780 | + | 0.999710i | \(0.507665\pi\) |
−0.853735 | + | 0.520707i | \(0.825668\pi\) | |||||||
\(692\) | −550.662 | − | 550.662i | −0.795754 | − | 0.795754i | ||||
\(693\) | −74.0379 | + | 108.624i | −0.106837 | + | 0.156745i | ||||
\(694\) | 1429.30i | 2.05951i | ||||||||
\(695\) | −528.231 | − | 797.330i | −0.760045 | − | 1.14724i | ||||
\(696\) | 147.915 | + | 256.196i | 0.212521 | + | 0.368097i | ||||
\(697\) | −55.2120 | + | 206.054i | −0.0792138 | + | 0.295630i | ||||
\(698\) | −463.886 | − | 1731.25i | −0.664593 | − | 2.48029i | ||||
\(699\) | − | 756.800i | − | 1.08269i | ||||||
\(700\) | 430.879 | − | 837.345i | 0.615542 | − | 1.19621i | ||||
\(701\) | 996.400 | 1.42140 | 0.710699 | − | 0.703496i | \(-0.248379\pi\) | ||||
0.710699 | + | 0.703496i | \(0.248379\pi\) | |||||||
\(702\) | 1443.14 | − | 386.689i | 2.05576 | − | 0.550839i | ||||
\(703\) | −298.295 | − | 79.9280i | −0.424318 | − | 0.113696i | ||||
\(704\) | 529.494 | − | 305.703i | 0.752122 | − | 0.434238i | ||||
\(705\) | −110.308 | + | 73.0788i | −0.156465 | + | 0.103658i | ||||
\(706\) | 1381.37 | 1.95661 | ||||||||
\(707\) | 0.220953 | − | 2.95357i | 0.000312521 | − | 0.00417761i | ||||
\(708\) | 157.148 | − | 157.148i | 0.221961 | − | 0.221961i | ||||
\(709\) | 1158.38 | + | 668.789i | 1.63382 | + | 0.943285i | 0.982901 | + | 0.184135i | \(0.0589483\pi\) |
0.650916 | + | 0.759150i | \(0.274385\pi\) | |||||||
\(710\) | −671.867 | + | 760.061i | −0.946291 | + | 1.07051i | ||||
\(711\) | 62.7377 | + | 108.665i | 0.0882387 | + | 0.152834i | ||||
\(712\) | −90.7122 | + | 24.3063i | −0.127405 | + | 0.0341380i | ||||
\(713\) | −520.096 | + | 520.096i | −0.729448 | + | 0.729448i | ||||
\(714\) | −188.106 | + | 161.921i | −0.263454 | + | 0.226780i | ||||
\(715\) | 491.192 | − | 164.584i | 0.686982 | − | 0.230187i | ||||
\(716\) | 165.494 | − | 286.645i | 0.231137 | − | 0.400342i | ||||
\(717\) | 5.10865 | − | 19.0657i | 0.00712503 | − | 0.0265910i | ||||
\(718\) | −1338.15 | − | 358.557i | −1.86372 | − | 0.499382i | ||||
\(719\) | 469.505 | + | 271.069i | 0.652997 | + | 0.377008i | 0.789603 | − | 0.613617i | \(-0.210286\pi\) |
−0.136607 | + | 0.990625i | \(0.543620\pi\) | |||||||
\(720\) | −57.4476 | + | 115.345i | −0.0797884 | + | 0.160202i | ||||
\(721\) | −78.0636 | + | 223.186i | −0.108271 | + | 0.309551i | ||||
\(722\) | −406.137 | − | 406.137i | −0.562517 | − | 0.562517i | ||||
\(723\) | −102.040 | − | 380.819i | −0.141134 | − | 0.526721i | ||||
\(724\) | −450.388 | + | 260.032i | −0.622083 | + | 0.359160i | ||||
\(725\) | −657.670 | − | 278.502i | −0.907131 | − | 0.384141i | ||||
\(726\) | −307.481 | + | 532.572i | −0.423527 | + | 0.733571i | ||||
\(727\) | −843.507 | − | 843.507i | −1.16026 | − | 1.16026i | −0.984419 | − | 0.175839i | \(-0.943736\pi\) |
−0.175839 | − | 0.984419i | \(-0.556264\pi\) | |||||||
\(728\) | 276.772 | − | 406.064i | 0.380181 | − | 0.557780i | ||||
\(729\) | 782.566i | 1.07348i | ||||||||
\(730\) | −1320.16 | + | 874.608i | −1.80844 | + | 1.19809i | ||||
\(731\) | 73.2965 | + | 126.953i | 0.100269 | + | 0.173671i | ||||
\(732\) | −114.375 | + | 426.855i | −0.156251 | + | 0.583135i | ||||
\(733\) | −223.944 | − | 835.772i | −0.305518 | − | 1.14021i | −0.932499 | − | 0.361173i | \(-0.882376\pi\) |
0.626981 | − | 0.779034i | \(-0.284290\pi\) | |||||||
\(734\) | 1507.09i | 2.05326i | ||||||||
\(735\) | 385.239 | + | 459.631i | 0.524134 | + | 0.625349i | ||||
\(736\) | −1557.05 | −2.11556 | ||||||||
\(737\) | −598.553 | + | 160.382i | −0.812148 | + | 0.217614i | ||||
\(738\) | 401.422 | + | 107.561i | 0.543932 | + | 0.145746i | ||||
\(739\) | 324.604 | − | 187.410i | 0.439247 | − | 0.253600i | −0.264031 | − | 0.964514i | \(-0.585052\pi\) |
0.703278 | + | 0.710915i | \(0.251719\pi\) | |||||||
\(740\) | −125.509 | + | 618.245i | −0.169606 | + | 0.835466i | ||||
\(741\) | 535.038 | 0.722049 | ||||||||
\(742\) | −1314.88 | − | 896.222i | −1.77208 | − | 1.20785i | ||||
\(743\) | 789.786 | − | 789.786i | 1.06297 | − | 1.06297i | 0.0650901 | − | 0.997879i | \(-0.479267\pi\) |
0.997879 | − | 0.0650901i | \(-0.0207335\pi\) | |||||||
\(744\) | −182.851 | − | 105.569i | −0.245767 | − | 0.141894i | ||||
\(745\) | 167.228 | − | 10.2997i | 0.224467 | − | 0.0138251i | ||||
\(746\) | 348.680 | + | 603.932i | 0.467400 | + | 0.809560i | ||||
\(747\) | −30.3841 | + | 8.14138i | −0.0406748 | + | 0.0108988i | ||||
\(748\) | −112.345 | + | 112.345i | −0.150194 | + | 0.150194i | ||||
\(749\) | 135.123 | + | 47.2617i | 0.180404 | + | 0.0630997i | ||||
\(750\) | −171.967 | − | 921.270i | −0.229290 | − | 1.22836i | ||||
\(751\) | −591.949 | + | 1025.29i | −0.788215 | + | 1.36523i | 0.138845 | + | 0.990314i | \(0.455661\pi\) |
−0.927060 | + | 0.374914i | \(0.877672\pi\) | |||||||
\(752\) | 23.9735 | − | 89.4702i | 0.0318796 | − | 0.118976i | ||||
\(753\) | −836.175 | − | 224.052i | −1.11046 | − | 0.297546i | ||||
\(754\) | −1257.55 | − | 726.046i | −1.66784 | − | 0.962925i | ||||
\(755\) | 192.256 | + | 95.7528i | 0.254643 | + | 0.126825i | ||||
\(756\) | 722.329 | + | 839.140i | 0.955461 | + | 1.10997i | ||||
\(757\) | −250.904 | − | 250.904i | −0.331446 | − | 0.331446i | 0.521690 | − | 0.853135i | \(-0.325302\pi\) |
−0.853135 | + | 0.521690i | \(0.825302\pi\) | |||||||
\(758\) | 451.012 | + | 1683.20i | 0.595003 | + | 2.22058i | ||||
\(759\) | −477.433 | + | 275.646i | −0.629028 | + | 0.363170i | ||||
\(760\) | 184.508 | − | 208.727i | 0.242773 | − | 0.274641i | ||||
\(761\) | 610.504 | − | 1057.42i | 0.802239 | − | 1.38952i | −0.115900 | − | 0.993261i | \(-0.536975\pi\) |
0.918139 | − | 0.396258i | \(-0.129691\pi\) | |||||||
\(762\) | −111.153 | − | 111.153i | −0.145870 | − | 0.145870i | ||||
\(763\) | −509.555 | − | 38.1191i | −0.667831 | − | 0.0499595i | ||||
\(764\) | − | 1816.93i | − | 2.37818i | ||||||
\(765\) | 14.1507 | − | 69.7052i | 0.0184977 | − | 0.0911180i | ||||
\(766\) | −34.8369 | − | 60.3393i | −0.0454790 | − | 0.0787719i | ||||
\(767\) | −72.4671 | + | 270.451i | −0.0944813 | + | 0.352609i | ||||
\(768\) | 1.15639 | + | 4.31571i | 0.00150572 | + | 0.00561942i | ||||
\(769\) | 625.225i | 0.813037i | 0.913643 | + | 0.406519i | \(0.133257\pi\) | ||||
−0.913643 | + | 0.406519i | \(0.866743\pi\) | |||||||
\(770\) | 466.979 | + | 479.431i | 0.606467 | + | 0.622638i | ||||
\(771\) | −1041.07 | −1.35029 | ||||||||
\(772\) | 891.112 | − | 238.773i | 1.15429 | − | 0.309291i | ||||
\(773\) | 1159.83 | + | 310.776i | 1.50043 | + | 0.402039i | 0.913244 | − | 0.407414i | \(-0.133569\pi\) |
0.587185 | + | 0.809452i | \(0.300236\pi\) | |||||||
\(774\) | 247.322 | − | 142.792i | 0.319538 | − | 0.184485i | ||||
\(775\) | 505.888 | − | 62.5535i | 0.652759 | − | 0.0807143i | ||||
\(776\) | −440.744 | −0.567969 | ||||||||
\(777\) | −331.981 | − | 226.277i | −0.427259 | − | 0.291219i | ||||
\(778\) | −1069.22 | + | 1069.22i | −1.37432 | + | 1.37432i | ||||
\(779\) | 514.517 | + | 297.056i | 0.660483 | + | 0.381330i | ||||
\(780\) | −67.1904 | − | 1090.91i | −0.0861416 | − | 1.39861i | ||||
\(781\) | −206.779 | − | 358.151i | −0.264762 | − | 0.458581i | ||||
\(782\) | 504.718 | − | 135.239i | 0.645419 | − | 0.172939i | ||||
\(783\) | 593.781 | − | 593.781i | 0.758341 | − | 0.758341i | ||||
\(784\) | −415.149 | − | 62.4629i | −0.529526 | − | 0.0796721i | ||||
\(785\) | −118.786 | − | 354.511i | −0.151320 | − | 0.451607i | ||||
\(786\) | 166.867 | − | 289.022i | 0.212299 | − | 0.367713i | ||||
\(787\) | −313.785 | + | 1171.06i | −0.398710 | + | 1.48801i | 0.416657 | + | 0.909064i | \(0.363202\pi\) |
−0.815368 | + | 0.578944i | \(0.803465\pi\) | |||||||
\(788\) | 981.493 | + | 262.990i | 1.24555 | + | 0.333744i | ||||
\(789\) | −119.359 | − | 68.9122i | −0.151279 | − | 0.0873412i | ||||
\(790\) | 605.722 | − | 202.959i | 0.766737 | − | 0.256910i | ||||
\(791\) | 364.196 | − | 68.9588i | 0.460425 | − | 0.0871793i | ||||
\(792\) | 56.1746 | + | 56.1746i | 0.0709275 | + | 0.0709275i | ||||
\(793\) | −144.096 | − | 537.774i | −0.181710 | − | 0.678152i | ||||
\(794\) | −266.652 | + | 153.951i | −0.335833 | + | 0.193894i | ||||
\(795\) | −906.674 | + | 55.8429i | −1.14047 | + | 0.0702427i | ||||
\(796\) | 557.745 | − | 966.042i | 0.700684 | − | 1.21362i | ||||
\(797\) | 531.274 | + | 531.274i | 0.666592 | + | 0.666592i | 0.956926 | − | 0.290333i | \(-0.0937662\pi\) |
−0.290333 | + | 0.956926i | \(0.593766\pi\) | |||||||
\(798\) | 300.000 | + | 622.749i | 0.375940 | + | 0.780387i | ||||
\(799\) | 51.1273i | 0.0639892i | ||||||||
\(800\) | 850.893 | + | 663.622i | 1.06362 | + | 0.829527i | ||||
\(801\) | 33.3887 | + | 57.8308i | 0.0416837 | + | 0.0721983i | ||||
\(802\) | −182.448 | + | 680.904i | −0.227491 | + | 0.849008i | ||||
\(803\) | −167.089 | − | 623.585i | −0.208081 | − | 0.776569i | ||||
\(804\) | 1307.42i | 1.62614i | ||||||||
\(805\) | −310.706 | − | 1223.75i | −0.385970 | − | 1.52018i | ||||
\(806\) | 1036.38 | 1.28583 | ||||||||
\(807\) | −1047.25 | + | 280.609i | −1.29770 | + | 0.347719i | ||||
\(808\) | −1.72893 | − | 0.463264i | −0.00213976 | − | 0.000573347i | ||||
\(809\) | −367.031 | + | 211.905i | −0.453684 | + | 0.261935i | −0.709385 | − | 0.704821i | \(-0.751027\pi\) |
0.255701 | + | 0.966756i | \(0.417694\pi\) | |||||||
\(810\) | 673.567 | + | 136.739i | 0.831564 | + | 0.168814i | ||||
\(811\) | 1447.54 | 1.78489 | 0.892443 | − | 0.451161i | \(-0.148990\pi\) | ||||
0.892443 | + | 0.451161i | \(0.148990\pi\) | |||||||
\(812\) | 80.2783 | − | 1073.12i | 0.0988649 | − | 1.32157i | ||||
\(813\) | −126.501 | + | 126.501i | −0.155598 | + | 0.155598i | ||||
\(814\) | −388.284 | − | 224.176i | −0.477007 | − | 0.275400i | ||||
\(815\) | −458.900 | − | 405.651i | −0.563067 | − | 0.497731i | ||||
\(816\) | −49.5920 | − | 85.8958i | −0.0607745 | − | 0.105264i | ||||
\(817\) | 394.356 | − | 105.667i | 0.482688 | − | 0.129336i | ||||
\(818\) | −1572.69 | + | 1572.69i | −1.92260 | + | 1.92260i | ||||
\(819\) | −329.834 | − | 115.366i | −0.402728 | − | 0.140862i | ||||
\(820\) | 541.068 | − | 1086.38i | 0.659839 | − | 1.32485i | ||||
\(821\) | −63.7478 | + | 110.414i | −0.0776465 | + | 0.134488i | −0.902234 | − | 0.431247i | \(-0.858074\pi\) |
0.824588 | + | 0.565734i | \(0.191407\pi\) | |||||||
\(822\) | 279.395 | − | 1042.72i | 0.339896 | − | 1.26851i | ||||
\(823\) | −929.575 | − | 249.079i | −1.12950 | − | 0.302648i | −0.354776 | − | 0.934951i | \(-0.615443\pi\) |
−0.774720 | + | 0.632304i | \(0.782109\pi\) | |||||||
\(824\) | 123.746 | + | 71.4450i | 0.150178 | + | 0.0867051i | ||||
\(825\) | 378.387 | + | 52.8496i | 0.458651 | + | 0.0640601i | ||||
\(826\) | −355.420 | + | 67.2970i | −0.430290 | + | 0.0814733i | ||||
\(827\) | −68.5400 | − | 68.5400i | −0.0828779 | − | 0.0828779i | 0.664453 | − | 0.747330i | \(-0.268665\pi\) |
−0.747330 | + | 0.664453i | \(0.768665\pi\) | |||||||
\(828\) | −151.126 | − | 564.010i | −0.182519 | − | 0.681172i | ||||
\(829\) | 159.509 | − | 92.0928i | 0.192412 | − | 0.111089i | −0.400699 | − | 0.916210i | \(-0.631233\pi\) |
0.593111 | + | 0.805121i | \(0.297899\pi\) | |||||||
\(830\) | 9.84503 | + | 159.845i | 0.0118615 | + | 0.192585i | ||||
\(831\) | 227.806 | − | 394.572i | 0.274135 | − | 0.474816i | ||||
\(832\) | 1149.19 | + | 1149.19i | 1.38123 | + | 1.38123i | ||||
\(833\) | 230.267 | − | 26.0056i | 0.276430 | − | 0.0312192i | ||||
\(834\) | − | 1434.16i | − | 1.71962i | ||||||
\(835\) | 709.685 | + | 144.072i | 0.849922 | + | 0.172541i | ||||
\(836\) | 221.243 | + | 383.204i | 0.264645 | + | 0.458378i | ||||
\(837\) | −155.118 | + | 578.908i | −0.185326 | + | 0.691646i | ||||
\(838\) | 133.734 | + | 499.102i | 0.159587 | + | 0.595588i | ||||
\(839\) | − | 1364.90i | − | 1.62681i | −0.581697 | − | 0.813406i | \(-0.697611\pi\) | ||
0.581697 | − | 0.813406i | \(-0.302389\pi\) | |||||||
\(840\) | 316.231 | − | 177.070i | 0.376465 | − | 0.210798i | ||||
\(841\) | 24.8511 | 0.0295495 | ||||||||
\(842\) | 1729.16 | − | 463.326i | 2.05363 | − | 0.550268i | ||||
\(843\) | 1102.42 | + | 295.393i | 1.30774 | + | 0.350407i | ||||
\(844\) | −668.739 | + | 386.097i | −0.792345 | + | 0.457460i | ||||
\(845\) | 293.816 | + | 443.497i | 0.347712 | + | 0.524848i | ||||
\(846\) | 99.6030 | 0.117734 | ||||||||
\(847\) | 517.267 | − | 249.186i | 0.610705 | − | 0.294198i | ||||
\(848\) | 449.646 | − | 449.646i | 0.530243 | − | 0.530243i | ||||
\(849\) | 498.612 | + | 287.874i | 0.587294 | + | 0.339074i | ||||
\(850\) | −333.456 | − | 141.208i | −0.392301 | − | 0.166127i | ||||
\(851\) | 422.906 | + | 732.495i | 0.496952 | + | 0.860747i | ||||
\(852\) | −842.821 | + | 225.833i | −0.989226 | + | 0.265062i | ||||
\(853\) | −453.633 | + | 453.633i | −0.531809 | + | 0.531809i | −0.921111 | − | 0.389301i | \(-0.872717\pi\) |
0.389301 | + | 0.921111i | \(0.372717\pi\) | |||||||
\(854\) | 545.137 | − | 469.252i | 0.638334 | − | 0.549476i | ||||
\(855\) | −177.317 | − | 88.3124i | −0.207388 | − | 0.103289i | ||||
\(856\) | 43.2547 | − | 74.9193i | 0.0505311 | − | 0.0875225i | ||||
\(857\) | 223.494 | − | 834.091i | 0.260786 | − | 0.973268i | −0.703993 | − | 0.710207i | \(-0.748601\pi\) |
0.964779 | − | 0.263061i | \(-0.0847320\pi\) | |||||||
\(858\) | 750.317 | + | 201.047i | 0.874495 | + | 0.234320i | ||||
\(859\) | 349.690 | + | 201.894i | 0.407090 | + | 0.235034i | 0.689539 | − | 0.724249i | \(-0.257813\pi\) |
−0.282449 | + | 0.959282i | \(0.591147\pi\) | |||||||
\(860\) | −264.973 | − | 790.800i | −0.308108 | − | 0.919535i | ||||
\(861\) | 504.242 | + | 585.786i | 0.585647 | + | 0.680355i | ||||
\(862\) | 280.120 | + | 280.120i | 0.324965 | + | 0.324965i | ||||
\(863\) | 368.792 | + | 1376.35i | 0.427337 | + | 1.59484i | 0.758766 | + | 0.651364i | \(0.225803\pi\) |
−0.331429 | + | 0.943480i | \(0.607531\pi\) | |||||||
\(864\) | −1098.75 | + | 634.366i | −1.27171 | + | 0.734220i | ||||
\(865\) | 542.144 | + | 479.236i | 0.626756 | + | 0.554030i | ||||
\(866\) | 174.891 | − | 302.920i | 0.201953 | − | 0.349792i | ||||
\(867\) | −461.517 | − | 461.517i | −0.532315 | − | 0.532315i | ||||
\(868\) | 333.329 | + | 691.935i | 0.384020 | + | 0.797160i | ||||
\(869\) | 260.427i | 0.299686i | ||||||||
\(870\) | −591.477 | − | 892.797i | −0.679859 | − | 1.02620i | ||||
\(871\) | −823.577 | − | 1426.48i | −0.945553 | − | 1.63775i | ||||
\(872\) | −79.9230 | + | 298.277i | −0.0916548 | + | 0.342061i | ||||
\(873\) | 81.1129 | + | 302.717i | 0.0929128 | + | 0.346755i | ||||
\(874\) | − | 1455.24i | − | 1.66504i | ||||||
\(875\) | −351.773 | + | 801.175i | −0.402026 | + | 0.915628i | ||||
\(876\) | −1362.10 | −1.55490 | ||||||||
\(877\) | −1161.08 | + | 311.111i | −1.32392 | + | 0.354744i | −0.850447 | − | 0.526061i | \(-0.823668\pi\) |
−0.473478 | + | 0.880806i | \(0.657002\pi\) | |||||||
\(878\) | −1616.59 | − | 433.165i | −1.84122 | − | 0.493354i | ||||
\(879\) | −808.765 | + | 466.941i | −0.920096 | + | 0.531218i | ||||
\(880\) | −222.961 | + | 147.711i | −0.253364 | + | 0.167854i | ||||
\(881\) | −737.001 | −0.836551 | −0.418275 | − | 0.908320i | \(-0.637365\pi\) | ||||
−0.418275 | + | 0.908320i | \(0.637365\pi\) | |||||||
\(882\) | −50.6624 | − | 448.591i | −0.0574404 | − | 0.508606i | ||||
\(883\) | 177.282 | − | 177.282i | 0.200773 | − | 0.200773i | −0.599558 | − | 0.800331i | \(-0.704657\pi\) |
0.800331 | + | 0.599558i | \(0.204657\pi\) | |||||||
\(884\) | −365.741 | − | 211.161i | −0.413735 | − | 0.238870i | ||||
\(885\) | −136.765 | + | 154.718i | −0.154537 | + | 0.174822i | ||||
\(886\) | −744.326 | − | 1289.21i | −0.840097 | − | 1.45509i | ||||
\(887\) | −902.875 | + | 241.925i | −1.01790 | + | 0.272745i | −0.728926 | − | 0.684593i | \(-0.759980\pi\) |
−0.288972 | + | 0.957338i | \(0.593313\pi\) | |||||||
\(888\) | −171.683 | + | 171.683i | −0.193336 | + | 0.193336i | ||||
\(889\) | 27.3040 | + | 144.202i | 0.0307131 | + | 0.162207i | ||||
\(890\) | 322.362 | − | 108.014i | 0.362204 | − | 0.121364i | ||||
\(891\) | −140.097 | + | 242.655i | −0.157235 | + | 0.272340i | ||||
\(892\) | −579.928 | + | 2164.32i | −0.650143 | + | 2.42637i | ||||
\(893\) | 137.540 | + | 36.8537i | 0.154020 | + | 0.0412695i | ||||
\(894\) | 217.573 | + | 125.616i | 0.243370 | + | 0.140510i | ||||
\(895\) | −137.108 | + | 275.291i | −0.153193 | + | 0.307587i | ||||
\(896\) | −294.202 | + | 841.132i | −0.328350 | + | 0.938763i | ||||
\(897\) | −1036.19 | − | 1036.19i | −1.15518 | − | 1.15518i | ||||
\(898\) | −319.838 | − | 1193.65i | −0.356167 | − | 1.32923i | ||||
\(899\) | 504.457 | − | 291.249i | 0.561132 | − | 0.323970i | ||||
\(900\) | −157.797 | + | 372.629i | −0.175329 | + | 0.414032i | ||||
\(901\) | −175.499 | + | 303.973i | −0.194782 | + | 0.337373i | ||||
\(902\) | 609.916 | + | 609.916i | 0.676182 | + | 0.676182i | ||||
\(903\) | 529.662 | + | 39.6232i | 0.586558 | + | 0.0438796i | ||||
\(904\) | − | 224.005i | − | 0.247793i | ||||||
\(905\) | 402.842 | − | 266.882i | 0.445129 | − | 0.294898i | ||||
\(906\) | 161.031 | + | 278.914i | 0.177739 | + | 0.307852i | ||||
\(907\) | 42.1435 | − | 157.282i | 0.0464647 | − | 0.173409i | −0.938794 | − | 0.344479i | \(-0.888056\pi\) |
0.985259 | + | 0.171070i | \(0.0547224\pi\) | |||||||
\(908\) | 209.960 | + | 783.583i | 0.231234 | + | 0.862977i | ||||
\(909\) | 1.27274i | 0.00140015i | ||||||||
\(910\) | −909.694 | + | 1528.83i | −0.999664 | + | 1.68003i | ||||
\(911\) | −136.210 | −0.149517 | −0.0747583 | − | 0.997202i | \(-0.523819\pi\) | ||||
−0.0747583 | + | 0.997202i | \(0.523819\pi\) | |||||||
\(912\) | −266.819 | + | 71.4939i | −0.292564 | + | 0.0783924i | ||||
\(913\) | −63.0629 | − | 16.8976i | −0.0690721 | − | 0.0185078i | ||||
\(914\) | −300.909 | + | 173.730i | −0.329222 | + | 0.190076i | ||||
\(915\) | 81.6911 | − | 402.403i | 0.0892799 | − | 0.439785i | ||||
\(916\) | −2310.10 | −2.52194 | ||||||||
\(917\) | −280.716 | + | 135.231i | −0.306124 | + | 0.147471i | ||||
\(918\) | 301.063 | − | 301.063i | 0.327955 | − | 0.327955i | ||||
\(919\) | 1017.63 | + | 587.529i | 1.10732 | + | 0.639314i | 0.938135 | − | 0.346270i | \(-0.112552\pi\) |
0.169189 | + | 0.985584i | \(0.445885\pi\) | |||||||
\(920\) | −761.567 | + | 46.9057i | −0.827791 | + | 0.0509844i | ||||
\(921\) | 162.646 | + | 281.712i | 0.176597 | + | 0.305876i | ||||
\(922\) | −793.337 | + | 212.574i | −0.860452 | + | 0.230558i | ||||
\(923\) | 777.313 | − | 777.313i | 0.842160 | − | 0.842160i | ||||
\(924\) | 107.095 | + | 565.609i | 0.115904 | + | 0.612131i | ||||
\(925\) | 81.0838 | − | 580.536i | 0.0876582 | − | 0.627607i | ||||
\(926\) | 415.813 | − | 720.209i | 0.449042 | − | 0.777763i | ||||
\(927\) | 26.2969 | − | 98.1415i | 0.0283678 | − | 0.105870i | ||||
\(928\) | 1191.08 | + | 319.150i | 1.28349 | + | 0.343911i | ||||
\(929\) | 22.6987 | + | 13.1051i | 0.0244334 | + | 0.0141067i | 0.512167 | − | 0.858886i | \(-0.328843\pi\) |
−0.487734 | + | 0.872993i | \(0.662176\pi\) | |||||||
\(930\) | 684.190 | + | 340.760i | 0.735688 | + | 0.366409i | ||||
\(931\) | 96.0223 | − | 638.195i | 0.103139 | − | 0.685494i | ||||
\(932\) | 1176.40 | + | 1176.40i | 1.26223 | + | 1.26223i | ||||
\(933\) | 12.9419 | + | 48.3000i | 0.0138713 | + | 0.0517685i | ||||
\(934\) | 148.642 | − | 85.8185i | 0.159146 | − | 0.0918827i | ||||
\(935\) | 97.7728 | − | 110.607i | 0.104570 | − | 0.118296i | ||||
\(936\) | −105.584 | + | 182.878i | −0.112804 | + | 0.195382i | ||||
\(937\) | 334.657 | + | 334.657i | 0.357158 | + | 0.357158i | 0.862764 | − | 0.505606i | \(-0.168731\pi\) |
−0.505606 | + | 0.862764i | \(0.668731\pi\) | |||||||
\(938\) | 1198.54 | − | 1758.42i | 1.27776 | − | 1.87465i | ||||
\(939\) | 577.114i | 0.614605i | ||||||||
\(940\) | 57.8702 | − | 285.064i | 0.0615641 | − | 0.303259i | ||||
\(941\) | 459.123 | + | 795.225i | 0.487910 | + | 0.845085i | 0.999903 | − | 0.0139045i | \(-0.00442610\pi\) |
−0.511993 | + | 0.858989i | \(0.671093\pi\) | |||||||
\(942\) | 145.103 | − | 541.531i | 0.154037 | − | 0.574874i | ||||
\(943\) | −421.150 | − | 1571.75i | −0.446606 | − | 1.66676i | ||||
\(944\) | − | 144.555i | − | 0.153130i | ||||||
\(945\) | −717.828 | − | 736.968i | −0.759606 | − | 0.779861i | ||||
\(946\) | 592.735 | 0.626570 | ||||||||
\(947\) | 264.244 | − | 70.8040i | 0.279033 | − | 0.0747667i | −0.116589 | − | 0.993180i | \(-0.537196\pi\) |
0.395622 | + | 0.918414i | \(0.370529\pi\) | |||||||
\(948\) | 530.745 | + | 142.213i | 0.559857 | + | 0.150013i | ||||
\(949\) | 1486.13 | − | 858.019i | 1.56600 | − | 0.904130i | ||||
\(950\) | −620.231 | + | 795.258i | −0.652875 | + | 0.837113i | ||||
\(951\) | −486.851 | −0.511935 | ||||||||
\(952\) | 10.4471 | − | 139.651i | 0.0109738 | − | 0.146692i | ||||
\(953\) | −157.912 | + | 157.912i | −0.165699 | + | 0.165699i | −0.785086 | − | 0.619387i | \(-0.787381\pi\) |
0.619387 | + | 0.785086i | \(0.287381\pi\) | |||||||
\(954\) | 592.181 | + | 341.896i | 0.620734 | + | 0.358381i | ||||
\(955\) | 103.783 | + | 1685.04i | 0.108674 | + | 1.76444i | ||||
\(956\) | 21.6955 | + | 37.5777i | 0.0226940 | + | 0.0393072i | ||||
\(957\) | 421.716 | − | 112.999i | 0.440665 | − | 0.118076i | ||||
\(958\) | 713.106 | − | 713.106i | 0.744370 | − | 0.744370i | ||||
\(959\) | −763.854 | + | 657.523i | −0.796511 | + | 0.685634i | ||||
\(960\) | 380.812 | + | 1136.51i | 0.396679 | + | 1.18387i | ||||
\(961\) | 272.632 | − | 472.212i | 0.283696 | − | 0.491375i | ||||
\(962\) | 308.454 | − | 1151.16i | 0.320638 | − | 1.19664i | ||||
\(963\) | −59.4174 | − | 15.9208i | −0.0617003 | − | 0.0165326i | ||||
\(964\) | 750.577 | + | 433.346i | 0.778607 | + | 0.449529i | ||||
\(965\) | −812.789 | + | 272.341i | −0.842268 | + | 0.282219i | ||||
\(966\) | 625.059 | − | 1787.06i | 0.647059 | − | 1.84996i | ||||
\(967\) | 1059.59 | + | 1059.59i | 1.09575 | + | 1.09575i | 0.994902 | + | 0.100844i | \(0.0321543\pi\) |
0.100844 | + | 0.994902i | \(0.467846\pi\) | |||||||
\(968\) | −89.8051 | − | 335.157i | −0.0927739 | − | 0.346237i | ||||
\(969\) | 132.045 | − | 76.2361i | 0.136269 | − | 0.0786751i | ||||
\(970\) | 1592.54 | − | 98.0864i | 1.64180 | − | 0.101120i | ||||
\(971\) | −279.066 | + | 483.357i | −0.287401 | + | 0.497793i | −0.973189 | − | 0.230009i | \(-0.926125\pi\) |
0.685788 | + | 0.727802i | \(0.259458\pi\) | |||||||
\(972\) | −588.585 | − | 588.585i | −0.605540 | − | 0.605540i | ||||
\(973\) | −754.145 | + | 1106.44i | −0.775072 | + | 1.13714i | ||||
\(974\) | − | 1033.29i | − | 1.06087i | ||||||
\(975\) | 124.626 | + | 1007.89i | 0.127822 | + | 1.03373i | ||||
\(976\) | 143.719 | + | 248.928i | 0.147253 | + | 0.255050i | ||||
\(977\) | 465.961 | − | 1738.99i | 0.476930 | − | 1.77993i | −0.137004 | − | 0.990570i | \(-0.543747\pi\) |
0.613934 | − | 0.789357i | \(-0.289586\pi\) | |||||||
\(978\) | −237.705 | − | 887.126i | −0.243052 | − | 0.907082i | ||||
\(979\) | 138.598i | 0.141571i | ||||||||
\(980\) | −1313.30 | − | 115.639i | −1.34010 | − | 0.117999i | ||||
\(981\) | 219.575 | 0.223828 | ||||||||
\(982\) | −1145.33 | + | 306.890i | −1.16632 | + | 0.312516i | ||||
\(983\) | −1757.33 | − | 470.876i | −1.78772 | − | 0.479019i | −0.795767 | − | 0.605603i | \(-0.792932\pi\) |
−0.991956 | + | 0.126584i | \(0.959599\pi\) | |||||||
\(984\) | 404.518 | − | 233.549i | 0.411096 | − | 0.237346i | ||||
\(985\) | −925.269 | − | 187.837i | −0.939360 | − | 0.190697i | ||||
\(986\) | −413.809 | −0.419684 | ||||||||
\(987\) | 153.071 | + | 104.333i | 0.155088 | + | 0.105707i | ||||
\(988\) | −831.687 | + | 831.687i | −0.841788 | + | 0.841788i | ||||
\(989\) | −968.382 | − | 559.096i | −0.979153 | − | 0.565314i | ||||
\(990\) | −215.478 | − | 190.475i | −0.217654 | − | 0.192399i | ||||
\(991\) | 36.3267 | + | 62.9197i | 0.0366566 | + | 0.0634912i | 0.883772 | − | 0.467918i | \(-0.154996\pi\) |
−0.847115 | + | 0.531410i | \(0.821663\pi\) | |||||||
\(992\) | −850.093 | + | 227.782i | −0.856949 | + | 0.229619i | ||||
\(993\) | 48.8180 | − | 48.8180i | 0.0491621 | − | 0.0491621i | ||||
\(994\) | 1340.59 | + | 468.895i | 1.34868 | + | 0.471725i | ||||
\(995\) | −462.078 | + | 927.777i | −0.464400 | + | 0.932439i | ||||
\(996\) | −68.8740 | + | 119.293i | −0.0691506 | + | 0.119772i | ||||
\(997\) | 450.664 | − | 1681.90i | 0.452020 | − | 1.68696i | −0.244682 | − | 0.969603i | \(-0.578684\pi\) |
0.696703 | − | 0.717360i | \(-0.254650\pi\) | |||||||
\(998\) | −1828.91 | − | 490.054i | −1.83257 | − | 0.491036i | ||||
\(999\) | 596.859 | + | 344.597i | 0.597457 | + | 0.344942i |
(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 | 35.3.l.a.2.6 | ✓ | 24 | |
3.2 | odd | 2 | 315.3.ca.a.37.1 | 24 | |||
5.2 | odd | 4 | 175.3.p.c.93.6 | 24 | |||
5.3 | odd | 4 | inner | 35.3.l.a.23.1 | yes | 24 | |
5.4 | even | 2 | 175.3.p.c.107.1 | 24 | |||
7.2 | even | 3 | 245.3.g.c.197.1 | 12 | |||
7.3 | odd | 6 | 245.3.m.b.67.1 | 24 | |||
7.4 | even | 3 | inner | 35.3.l.a.32.1 | yes | 24 | |
7.5 | odd | 6 | 245.3.g.b.197.1 | 12 | |||
7.6 | odd | 2 | 245.3.m.b.177.6 | 24 | |||
15.8 | even | 4 | 315.3.ca.a.163.6 | 24 | |||
21.11 | odd | 6 | 315.3.ca.a.172.6 | 24 | |||
35.3 | even | 12 | 245.3.m.b.18.6 | 24 | |||
35.4 | even | 6 | 175.3.p.c.32.6 | 24 | |||
35.13 | even | 4 | 245.3.m.b.128.1 | 24 | |||
35.18 | odd | 12 | inner | 35.3.l.a.18.6 | yes | 24 | |
35.23 | odd | 12 | 245.3.g.c.148.1 | 12 | |||
35.32 | odd | 12 | 175.3.p.c.18.1 | 24 | |||
35.33 | even | 12 | 245.3.g.b.148.1 | 12 | |||
105.53 | even | 12 | 315.3.ca.a.298.1 | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
35.3.l.a.2.6 | ✓ | 24 | 1.1 | even | 1 | trivial | |
35.3.l.a.18.6 | yes | 24 | 35.18 | odd | 12 | inner | |
35.3.l.a.23.1 | yes | 24 | 5.3 | odd | 4 | inner | |
35.3.l.a.32.1 | yes | 24 | 7.4 | even | 3 | inner | |
175.3.p.c.18.1 | 24 | 35.32 | odd | 12 | |||
175.3.p.c.32.6 | 24 | 35.4 | even | 6 | |||
175.3.p.c.93.6 | 24 | 5.2 | odd | 4 | |||
175.3.p.c.107.1 | 24 | 5.4 | even | 2 | |||
245.3.g.b.148.1 | 12 | 35.33 | even | 12 | |||
245.3.g.b.197.1 | 12 | 7.5 | odd | 6 | |||
245.3.g.c.148.1 | 12 | 35.23 | odd | 12 | |||
245.3.g.c.197.1 | 12 | 7.2 | even | 3 | |||
245.3.m.b.18.6 | 24 | 35.3 | even | 12 | |||
245.3.m.b.67.1 | 24 | 7.3 | odd | 6 | |||
245.3.m.b.128.1 | 24 | 35.13 | even | 4 | |||
245.3.m.b.177.6 | 24 | 7.6 | odd | 2 | |||
315.3.ca.a.37.1 | 24 | 3.2 | odd | 2 | |||
315.3.ca.a.163.6 | 24 | 15.8 | even | 4 | |||
315.3.ca.a.172.6 | 24 | 21.11 | odd | 6 | |||
315.3.ca.a.298.1 | 24 | 105.53 | even | 12 |