Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [185,2,Mod(8,185)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(185, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([9, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("185.8");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 185 = 5 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 185.u (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: | \(1.47723243739\) |
Analytic rank: | \(0\) |
Dimension: | \(68\) |
Relative dimension: | \(17\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 23.1 | ||
Character | \(\chi\) | \(=\) | 185.23 |
Dual form | 185.2.u.a.177.1 |
$q$-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 \(\left(\mathbb{Z}/185\mathbb{Z}\right)^\times\).
\(n\) | \(76\) | \(112\) |
\(\chi(n)\) | \(e\left(\frac{5}{12}\right)\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.34255 | − | 1.35247i | −1.65643 | − | 0.956343i | −0.974341 | − | 0.225079i | \(-0.927736\pi\) |
−0.682094 | − | 0.731264i | \(-0.738931\pi\) | |||||||
\(3\) | −0.438550 | − | 0.117509i | −0.253197 | − | 0.0678439i | 0.129988 | − | 0.991516i | \(-0.458506\pi\) |
−0.383185 | + | 0.923672i | \(0.625173\pi\) | |||||||
\(4\) | 2.65837 | + | 4.60443i | 1.32918 | + | 2.30221i | ||||
\(5\) | 1.31482 | + | 1.80866i | 0.588003 | + | 0.808858i | ||||
\(6\) | 0.868398 | + | 0.868398i | 0.354522 | + | 0.354522i | ||||
\(7\) | −3.48545 | − | 0.933922i | −1.31737 | − | 0.352989i | −0.469381 | − | 0.882996i | \(-0.655523\pi\) |
−0.847994 | + | 0.530006i | \(0.822190\pi\) | |||||||
\(8\) | − | 8.97159i | − | 3.17194i | ||||||
\(9\) | −2.41956 | − | 1.39693i | −0.806520 | − | 0.465644i | ||||
\(10\) | −0.633857 | − | 6.01514i | −0.200443 | − | 1.90215i | ||||
\(11\) | − | 3.16164i | − | 0.953271i | −0.879101 | − | 0.476635i | \(-0.841856\pi\) | ||
0.879101 | − | 0.476635i | \(-0.158144\pi\) | |||||||
\(12\) | −0.624764 | − | 2.33165i | −0.180354 | − | 0.673090i | ||||
\(13\) | −3.33779 | + | 1.92708i | −0.925737 | + | 0.534475i | −0.885461 | − | 0.464714i | \(-0.846157\pi\) |
−0.0402765 | + | 0.999189i | \(0.512824\pi\) | |||||||
\(14\) | 6.90173 | + | 6.90173i | 1.84457 | + | 1.84457i | ||||
\(15\) | −0.364078 | − | 0.947691i | −0.0940045 | − | 0.244693i | ||||
\(16\) | −6.81711 | + | 11.8076i | −1.70428 | + | 2.95189i | ||||
\(17\) | 1.12403 | − | 1.94688i | 0.272618 | − | 0.472188i | −0.696914 | − | 0.717155i | \(-0.745444\pi\) |
0.969531 | + | 0.244967i | \(0.0787773\pi\) | |||||||
\(18\) | 3.77863 | + | 6.54478i | 0.890631 | + | 1.54262i | ||||
\(19\) | −5.27138 | − | 1.41246i | −1.20934 | − | 0.324041i | −0.402835 | − | 0.915273i | \(-0.631975\pi\) |
−0.806502 | + | 0.591232i | \(0.798642\pi\) | |||||||
\(20\) | −4.83259 | + | 10.8621i | −1.08060 | + | 2.42883i | ||||
\(21\) | 1.41880 | + | 0.819142i | 0.309607 | + | 0.178752i | ||||
\(22\) | −4.27604 | + | 7.40631i | −0.911654 | + | 1.57903i | ||||
\(23\) | − | 3.05377i | − | 0.636754i | −0.947964 | − | 0.318377i | \(-0.896862\pi\) | ||
0.947964 | − | 0.318377i | \(-0.103138\pi\) | |||||||
\(24\) | −1.05424 | + | 3.93449i | −0.215196 | + | 0.803124i | ||||
\(25\) | −1.54252 | + | 4.75612i | −0.308504 | + | 0.951223i | ||||
\(26\) | 10.4253 | 2.04456 | ||||||||
\(27\) | 1.86007 | + | 1.86007i | 0.357970 | + | 0.357970i | ||||
\(28\) | −4.96542 | − | 18.5312i | −0.938376 | − | 3.50207i | ||||
\(29\) | −3.71859 | − | 3.71859i | −0.690525 | − | 0.690525i | 0.271822 | − | 0.962348i | \(-0.412374\pi\) |
−0.962348 | + | 0.271822i | \(0.912374\pi\) | |||||||
\(30\) | −0.428855 | + | 2.71242i | −0.0782979 | + | 0.495218i | ||||
\(31\) | 0.870135 | − | 0.870135i | 0.156281 | − | 0.156281i | −0.624636 | − | 0.780916i | \(-0.714752\pi\) |
0.780916 | + | 0.624636i | \(0.214752\pi\) | |||||||
\(32\) | 16.3996 | − | 9.46831i | 2.89907 | − | 1.67378i | ||||
\(33\) | −0.371521 | + | 1.38654i | −0.0646736 | + | 0.241365i | ||||
\(34\) | −5.26621 | + | 3.04045i | −0.903147 | + | 0.521432i | ||||
\(35\) | −2.89357 | − | 7.53193i | −0.489102 | − | 1.27313i | ||||
\(36\) | − | 14.8542i | − | 2.47571i | ||||||
\(37\) | 0.825965 | + | 6.02642i | 0.135788 | + | 0.990738i | ||||
\(38\) | 10.4382 | + | 10.4382i | 1.69329 | + | 1.69329i | ||||
\(39\) | 1.69024 | − | 0.452898i | 0.270654 | − | 0.0725216i | ||||
\(40\) | 16.2266 | − | 11.7960i | 2.56565 | − | 1.86511i | ||||
\(41\) | −6.48190 | + | 3.74233i | −1.01230 | + | 0.584453i | −0.911865 | − | 0.410490i | \(-0.865358\pi\) |
−0.100437 | + | 0.994943i | \(0.532024\pi\) | |||||||
\(42\) | −2.21574 | − | 3.83777i | −0.341896 | − | 0.592180i | ||||
\(43\) | − | 2.70716i | − | 0.412838i | −0.978464 | − | 0.206419i | \(-0.933819\pi\) | ||
0.978464 | − | 0.206419i | \(-0.0661810\pi\) | |||||||
\(44\) | 14.5576 | − | 8.40481i | 2.19463 | − | 1.26707i | ||||
\(45\) | −0.654694 | − | 6.21287i | −0.0975960 | − | 0.926161i | ||||
\(46\) | −4.13014 | + | 7.15361i | −0.608955 | + | 1.05474i | ||||
\(47\) | −5.24074 | + | 5.24074i | −0.764441 | + | 0.764441i | −0.977122 | − | 0.212681i | \(-0.931781\pi\) |
0.212681 | + | 0.977122i | \(0.431781\pi\) | |||||||
\(48\) | 4.37713 | − | 4.37713i | 0.631785 | − | 0.631785i | ||||
\(49\) | 5.21394 | + | 3.01027i | 0.744848 | + | 0.430038i | ||||
\(50\) | 10.0460 | − | 9.05523i | 1.42071 | − | 1.28060i | ||||
\(51\) | −0.721719 | + | 0.721719i | −0.101061 | + | 0.101061i | ||||
\(52\) | −17.7462 | − | 10.2458i | −2.46095 | − | 1.42083i | ||||
\(53\) | 6.58098 | − | 1.76337i | 0.903967 | − | 0.242217i | 0.223248 | − | 0.974762i | \(-0.428334\pi\) |
0.680719 | + | 0.732545i | \(0.261667\pi\) | |||||||
\(54\) | −1.84161 | − | 6.87299i | −0.250612 | − | 0.935296i | ||||
\(55\) | 5.71834 | − | 4.15698i | 0.771061 | − | 0.560527i | ||||
\(56\) | −8.37877 | + | 31.2700i | −1.11966 | + | 4.17863i | ||||
\(57\) | 2.14578 | + | 1.23887i | 0.284216 | + | 0.164092i | ||||
\(58\) | 3.68170 | + | 13.7403i | 0.483431 | + | 1.80419i | ||||
\(59\) | −1.87303 | − | 6.99023i | −0.243847 | − | 0.910050i | −0.973959 | − | 0.226723i | \(-0.927199\pi\) |
0.730112 | − | 0.683327i | \(-0.239468\pi\) | |||||||
\(60\) | 3.39572 | − | 4.19568i | 0.438386 | − | 0.541660i | ||||
\(61\) | 3.84003 | + | 1.02893i | 0.491665 | + | 0.131741i | 0.496129 | − | 0.868249i | \(-0.334754\pi\) |
−0.00446389 | + | 0.999990i | \(0.501421\pi\) | |||||||
\(62\) | −3.21517 | + | 0.861502i | −0.408327 | + | 0.109411i | ||||
\(63\) | 7.12861 | + | 7.12861i | 0.898121 | + | 0.898121i | ||||
\(64\) | −23.9541 | −2.99427 | ||||||||
\(65\) | −7.87401 | − | 3.50319i | −0.976651 | − | 0.434517i | ||||
\(66\) | 2.74556 | − | 2.74556i | 0.337955 | − | 0.337955i | ||||
\(67\) | 2.76484 | − | 10.3185i | 0.337779 | − | 1.26061i | −0.563045 | − | 0.826426i | \(-0.690370\pi\) |
0.900824 | − | 0.434184i | \(-0.142963\pi\) | |||||||
\(68\) | 11.9524 | 1.44944 | ||||||||
\(69\) | −0.358845 | + | 1.33923i | −0.0431999 | + | 0.161224i | ||||
\(70\) | −3.40840 | + | 21.5574i | −0.407381 | + | 2.57660i | ||||
\(71\) | 2.11196 | + | 3.65803i | 0.250644 | + | 0.434128i | 0.963703 | − | 0.266976i | \(-0.0860243\pi\) |
−0.713059 | + | 0.701104i | \(0.752691\pi\) | |||||||
\(72\) | −12.5327 | + | 21.7073i | −1.47699 | + | 2.55823i | ||||
\(73\) | −2.58807 | + | 2.58807i | −0.302911 | + | 0.302911i | −0.842152 | − | 0.539241i | \(-0.818711\pi\) |
0.539241 | + | 0.842152i | \(0.318711\pi\) | |||||||
\(74\) | 6.21571 | − | 15.2343i | 0.722562 | − | 1.77095i | ||||
\(75\) | 1.23536 | − | 1.90453i | 0.142647 | − | 0.219916i | ||||
\(76\) | −7.50968 | − | 28.0265i | −0.861420 | − | 3.21486i | ||||
\(77\) | −2.95273 | + | 11.0197i | −0.336495 | + | 1.25581i | ||||
\(78\) | −4.57200 | − | 1.22506i | −0.517677 | − | 0.138711i | ||||
\(79\) | 7.11553 | + | 1.90660i | 0.800560 | + | 0.214509i | 0.635830 | − | 0.771829i | \(-0.280658\pi\) |
0.164730 | + | 0.986339i | \(0.447325\pi\) | |||||||
\(80\) | −30.3192 | + | 3.19494i | −3.38978 | + | 0.357205i | ||||
\(81\) | 3.59364 | + | 6.22437i | 0.399294 | + | 0.691597i | ||||
\(82\) | 20.2456 | 2.23575 | ||||||||
\(83\) | −3.86689 | + | 1.03613i | −0.424447 | + | 0.113730i | −0.464718 | − | 0.885459i | \(-0.653844\pi\) |
0.0402716 | + | 0.999189i | \(0.487178\pi\) | |||||||
\(84\) | 8.71033i | 0.950375i | ||||||||
\(85\) | 4.99914 | − | 0.526795i | 0.542233 | − | 0.0571389i | ||||
\(86\) | −3.66136 | + | 6.34166i | −0.394815 | + | 0.683839i | ||||
\(87\) | 1.19382 | + | 2.06776i | 0.127991 | + | 0.221687i | ||||
\(88\) | −28.3650 | −3.02372 | ||||||||
\(89\) | 3.50955 | − | 0.940381i | 0.372011 | − | 0.0996802i | −0.0679692 | − | 0.997687i | \(-0.521652\pi\) |
0.439981 | + | 0.898007i | \(0.354985\pi\) | |||||||
\(90\) | −6.86909 | + | 15.4394i | −0.724066 | + | 1.62746i | ||||
\(91\) | 13.4334 | − | 3.59948i | 1.40821 | − | 0.377328i | ||||
\(92\) | 14.0608 | − | 8.11803i | 1.46594 | − | 0.846363i | ||||
\(93\) | −0.483846 | + | 0.279349i | −0.0501725 | + | 0.0289671i | ||||
\(94\) | 19.3647 | − | 5.18875i | 1.99731 | − | 0.535179i | ||||
\(95\) | −4.37622 | − | 11.3913i | −0.448991 | − | 1.16872i | ||||
\(96\) | −8.30465 | + | 2.22522i | −0.847590 | + | 0.227111i | ||||
\(97\) | −12.0428 | −1.22276 | −0.611379 | − | 0.791338i | \(-0.709385\pi\) | ||||
−0.611379 | + | 0.791338i | \(0.709385\pi\) | |||||||
\(98\) | −8.14262 | − | 14.1034i | −0.822529 | − | 1.42466i | ||||
\(99\) | −4.41660 | + | 7.64978i | −0.443885 | + | 0.768832i | ||||
\(100\) | −25.9998 | + | 5.54109i | −2.59998 | + | 0.554109i | ||||
\(101\) | 8.79052i | 0.874689i | 0.899294 | + | 0.437344i | \(0.144081\pi\) | ||||
−0.899294 | + | 0.437344i | \(0.855919\pi\) | |||||||
\(102\) | 2.66677 | − | 0.714559i | 0.264050 | − | 0.0707519i | ||||
\(103\) | −3.07142 | −0.302636 | −0.151318 | − | 0.988485i | \(-0.548352\pi\) | ||||
−0.151318 | + | 0.988485i | \(0.548352\pi\) | |||||||
\(104\) | 17.2889 | + | 29.9453i | 1.69532 | + | 2.93638i | ||||
\(105\) | 0.383904 | + | 3.64314i | 0.0374652 | + | 0.355534i | ||||
\(106\) | −17.8012 | − | 4.76981i | −1.72900 | − | 0.463285i | ||||
\(107\) | 0.00480385 | + | 0.00128719i | 0.000464406 | + | 0.000124437i | 0.259051 | − | 0.965864i | \(-0.416590\pi\) |
−0.258587 | + | 0.965988i | \(0.583257\pi\) | |||||||
\(108\) | −3.61980 | + | 13.5093i | −0.348315 | + | 1.29993i | ||||
\(109\) | −3.54255 | − | 13.2210i | −0.339315 | − | 1.26634i | −0.899115 | − | 0.437713i | \(-0.855789\pi\) |
0.559799 | − | 0.828628i | \(-0.310878\pi\) | |||||||
\(110\) | −19.0177 | + | 2.00403i | −1.81327 | + | 0.191077i | ||||
\(111\) | 0.345932 | − | 2.73994i | 0.0328344 | − | 0.260064i | ||||
\(112\) | 34.7880 | − | 34.7880i | 3.28716 | − | 3.28716i | ||||
\(113\) | 8.29672 | − | 14.3703i | 0.780489 | − | 1.35185i | −0.151168 | − | 0.988508i | \(-0.548303\pi\) |
0.931657 | − | 0.363339i | \(-0.118363\pi\) | |||||||
\(114\) | −3.35107 | − | 5.80423i | −0.313857 | − | 0.543616i | ||||
\(115\) | 5.52323 | − | 4.01514i | 0.515044 | − | 0.374414i | ||||
\(116\) | 7.23661 | − | 27.0074i | 0.671902 | − | 2.50757i | ||||
\(117\) | 10.7680 | 0.995500 | ||||||||
\(118\) | −5.06643 | + | 18.9082i | −0.466403 | + | 1.74064i | ||||
\(119\) | −5.73598 | + | 5.73598i | −0.525817 | + | 0.525817i | ||||
\(120\) | −8.50230 | + | 3.26636i | −0.776150 | + | 0.298176i | ||||
\(121\) | 1.00402 | 0.0912746 | ||||||||
\(122\) | −7.60386 | − | 7.60386i | −0.688422 | − | 0.688422i | ||||
\(123\) | 3.28239 | − | 0.879514i | 0.295963 | − | 0.0793031i | ||||
\(124\) | 6.31961 | + | 1.69333i | 0.567518 | + | 0.152066i | ||||
\(125\) | −10.6303 | + | 3.46352i | −0.950806 | + | 0.309787i | ||||
\(126\) | −7.05789 | − | 26.3404i | −0.628767 | − | 2.34659i | ||||
\(127\) | 3.33041 | + | 12.4292i | 0.295526 | + | 1.10292i | 0.940799 | + | 0.338965i | \(0.110077\pi\) |
−0.645273 | + | 0.763952i | \(0.723256\pi\) | |||||||
\(128\) | 23.3146 | + | 13.4607i | 2.06074 | + | 1.18977i | ||||
\(129\) | −0.318116 | + | 1.18722i | −0.0280085 | + | 0.104529i | ||||
\(130\) | 13.7073 | + | 18.8558i | 1.20221 | + | 1.65376i | ||||
\(131\) | 0.248078 | + | 0.925841i | 0.0216747 | + | 0.0808911i | 0.975916 | − | 0.218147i | \(-0.0700011\pi\) |
−0.954241 | + | 0.299038i | \(0.903334\pi\) | |||||||
\(132\) | −7.37185 | + | 1.97528i | −0.641637 | + | 0.171926i | ||||
\(133\) | 17.0540 | + | 9.84611i | 1.47877 | + | 0.853766i | ||||
\(134\) | −20.4323 | + | 20.4323i | −1.76509 | + | 1.76509i | ||||
\(135\) | −0.918587 | + | 5.80988i | −0.0790594 | + | 0.500034i | ||||
\(136\) | −17.4666 | − | 10.0844i | −1.49775 | − | 0.864726i | ||||
\(137\) | −1.47442 | + | 1.47442i | −0.125968 | + | 0.125968i | −0.767280 | − | 0.641312i | \(-0.778390\pi\) |
0.641312 | + | 0.767280i | \(0.278390\pi\) | |||||||
\(138\) | 2.65188 | − | 2.65188i | 0.225743 | − | 0.225743i | ||||
\(139\) | −7.04826 | + | 12.2079i | −0.597825 | + | 1.03546i | 0.395316 | + | 0.918545i | \(0.370635\pi\) |
−0.993141 | + | 0.116919i | \(0.962698\pi\) | |||||||
\(140\) | 26.9881 | − | 33.3459i | 2.28091 | − | 2.81824i | ||||
\(141\) | 2.91416 | − | 1.68249i | 0.245417 | − | 0.141691i | ||||
\(142\) | − | 11.4255i | − | 0.958807i | ||||||
\(143\) | 6.09272 | + | 10.5529i | 0.509499 | + | 0.882479i | ||||
\(144\) | 32.9888 | − | 19.0461i | 2.74906 | − | 1.58717i | ||||
\(145\) | 1.83641 | − | 11.6149i | 0.152506 | − | 0.964569i | ||||
\(146\) | 9.56299 | − | 2.56239i | 0.791438 | − | 0.212065i | ||||
\(147\) | −1.93284 | − | 1.93284i | −0.159418 | − | 0.159418i | ||||
\(148\) | −25.5525 | + | 19.8235i | −2.10040 | + | 1.62949i | ||||
\(149\) | − | 7.33970i | − | 0.601292i | −0.953736 | − | 0.300646i | \(-0.902798\pi\) | ||
0.953736 | − | 0.300646i | \(-0.0972023\pi\) | |||||||
\(150\) | −5.46972 | + | 2.79068i | −0.446601 | + | 0.227858i | ||||
\(151\) | 15.0066 | − | 8.66406i | 1.22122 | − | 0.705071i | 0.256041 | − | 0.966666i | \(-0.417582\pi\) |
0.965178 | + | 0.261595i | \(0.0842485\pi\) | |||||||
\(152\) | −12.6720 | + | 47.2926i | −1.02784 | + | 3.83594i | ||||
\(153\) | −5.43932 | + | 3.14039i | −0.439743 | + | 0.253886i | ||||
\(154\) | 21.8208 | − | 21.8208i | 1.75837 | − | 1.75837i | ||||
\(155\) | 2.71785 | + | 0.429713i | 0.218303 | + | 0.0345154i | ||||
\(156\) | 6.57861 | + | 6.57861i | 0.526710 | + | 0.526710i | ||||
\(157\) | 1.71614 | + | 6.40472i | 0.136963 | + | 0.511152i | 0.999982 | + | 0.00598127i | \(0.00190391\pi\) |
−0.863019 | + | 0.505171i | \(0.831429\pi\) | |||||||
\(158\) | −14.0899 | − | 14.0899i | −1.12093 | − | 1.12093i | ||||
\(159\) | −3.09330 | −0.245314 | ||||||||
\(160\) | 38.6874 | + | 17.2122i | 3.05851 | + | 1.36075i | ||||
\(161\) | −2.85198 | + | 10.6437i | −0.224767 | + | 0.838844i | ||||
\(162\) | − | 19.4412i | − | 1.52745i | ||||||
\(163\) | −0.138229 | + | 0.239420i | −0.0108269 | + | 0.0187528i | −0.871388 | − | 0.490594i | \(-0.836780\pi\) |
0.860561 | + | 0.509347i | \(0.170113\pi\) | |||||||
\(164\) | −34.4625 | − | 19.8970i | −2.69107 | − | 1.55369i | ||||
\(165\) | −2.99626 | + | 1.15108i | −0.233258 | + | 0.0896117i | ||||
\(166\) | 10.4597 | + | 2.80268i | 0.811833 | + | 0.217530i | ||||
\(167\) | −7.85322 | − | 13.6022i | −0.607701 | − | 1.05257i | −0.991618 | − | 0.129201i | \(-0.958759\pi\) |
0.383918 | − | 0.923367i | \(-0.374575\pi\) | |||||||
\(168\) | 7.34901 | − | 12.7289i | 0.566989 | − | 0.982053i | ||||
\(169\) | 0.927244 | − | 1.60603i | 0.0713265 | − | 0.123541i | ||||
\(170\) | −12.4232 | − | 5.52716i | −0.952818 | − | 0.423914i | ||||
\(171\) | 10.7813 | + | 10.7813i | 0.824466 | + | 0.824466i | ||||
\(172\) | 12.4649 | − | 7.19663i | 0.950442 | − | 0.548738i | ||||
\(173\) | −2.65608 | − | 9.91263i | −0.201938 | − | 0.753643i | −0.990361 | − | 0.138510i | \(-0.955769\pi\) |
0.788423 | − | 0.615134i | \(-0.210898\pi\) | |||||||
\(174\) | − | 6.45843i | − | 0.489613i | ||||||
\(175\) | 9.81821 | − | 15.1366i | 0.742187 | − | 1.14422i | ||||
\(176\) | 37.3313 | + | 21.5532i | 2.81395 | + | 1.62464i | ||||
\(177\) | 3.28566i | 0.246965i | ||||||||
\(178\) | −9.49314 | − | 2.54368i | −0.711541 | − | 0.190657i | ||||
\(179\) | −8.16853 | − | 8.16853i | −0.610544 | − | 0.610544i | 0.332544 | − | 0.943088i | \(-0.392093\pi\) |
−0.943088 | + | 0.332544i | \(0.892093\pi\) | |||||||
\(180\) | 26.8663 | − | 19.5306i | 2.00250 | − | 1.45572i | ||||
\(181\) | −6.13132 | − | 10.6198i | −0.455738 | − | 0.789361i | 0.542993 | − | 0.839737i | \(-0.317291\pi\) |
−0.998730 | + | 0.0503768i | \(0.983958\pi\) | |||||||
\(182\) | −36.3367 | − | 9.73640i | −2.69346 | − | 0.721710i | ||||
\(183\) | −1.56313 | − | 0.902476i | −0.115550 | − | 0.0667129i | ||||
\(184\) | −27.3971 | −2.01974 | ||||||||
\(185\) | −9.81377 | + | 9.41753i | −0.721523 | + | 0.692390i | ||||
\(186\) | 1.51125 | 0.110810 | ||||||||
\(187\) | −6.15534 | − | 3.55379i | −0.450123 | − | 0.259879i | ||||
\(188\) | −38.0624 | − | 10.1988i | −2.77599 | − | 0.743824i | ||||
\(189\) | −4.74600 | − | 8.22031i | −0.345221 | − | 0.597940i | ||||
\(190\) | −5.15485 | + | 32.6034i | −0.373972 | + | 2.36530i | ||||
\(191\) | −15.7283 | − | 15.7283i | −1.13806 | − | 1.13806i | −0.988798 | − | 0.149263i | \(-0.952310\pi\) |
−0.149263 | − | 0.988798i | \(-0.547690\pi\) | |||||||
\(192\) | 10.5051 | + | 2.81483i | 0.758139 | + | 0.203143i | ||||
\(193\) | 15.8675i | 1.14217i | 0.820891 | + | 0.571085i | \(0.193477\pi\) | ||||
−0.820891 | + | 0.571085i | \(0.806523\pi\) | |||||||
\(194\) | 28.2108 | + | 16.2875i | 2.02542 | + | 1.16938i | ||||
\(195\) | 3.04149 | + | 2.46159i | 0.217806 | + | 0.176278i | ||||
\(196\) | 32.0096i | 2.28640i | ||||||||
\(197\) | 4.80887 | + | 17.9469i | 0.342618 | + | 1.27867i | 0.895371 | + | 0.445321i | \(0.146911\pi\) |
−0.552753 | + | 0.833345i | \(0.686423\pi\) | |||||||
\(198\) | 20.6922 | − | 11.9467i | 1.47053 | − | 0.849013i | ||||
\(199\) | 11.6423 | + | 11.6423i | 0.825299 | + | 0.825299i | 0.986862 | − | 0.161563i | \(-0.0516536\pi\) |
−0.161563 | + | 0.986862i | \(0.551654\pi\) | |||||||
\(200\) | 42.6699 | + | 13.8389i | 3.01722 | + | 0.978555i | ||||
\(201\) | −2.42504 | + | 4.20030i | −0.171049 | + | 0.296266i | ||||
\(202\) | 11.8889 | − | 20.5922i | 0.836503 | − | 1.44887i | ||||
\(203\) | 9.48808 | + | 16.4338i | 0.665932 | + | 1.15343i | ||||
\(204\) | −5.24170 | − | 1.40451i | −0.366992 | − | 0.0983353i | ||||
\(205\) | −15.2911 | − | 6.80310i | −1.06798 | − | 0.475149i | ||||
\(206\) | 7.19497 | + | 4.15402i | 0.501297 | + | 0.289424i | ||||
\(207\) | −4.26591 | + | 7.38877i | −0.296501 | + | 0.513555i | ||||
\(208\) | − | 52.5483i | − | 3.64357i | ||||||
\(209\) | −4.46570 | + | 16.6662i | −0.308899 | + | 1.15283i | ||||
\(210\) | 4.02794 | − | 9.05348i | 0.277954 | − | 0.624749i | ||||
\(211\) | −19.4486 | −1.33890 | −0.669449 | − | 0.742858i | \(-0.733470\pi\) | ||||
−0.669449 | + | 0.742858i | \(0.733470\pi\) | |||||||
\(212\) | 25.6140 | + | 25.6140i | 1.75917 | + | 1.75917i | ||||
\(213\) | −0.496350 | − | 1.85240i | −0.0340093 | − | 0.126924i | ||||
\(214\) | −0.00951238 | − | 0.00951238i | −0.000650253 | − | 0.000650253i | ||||
\(215\) | 4.89634 | − | 3.55942i | 0.333927 | − | 0.242750i | ||||
\(216\) | 16.6878 | − | 16.6878i | 1.13546 | − | 1.13546i | ||||
\(217\) | −3.84544 | + | 2.22017i | −0.261046 | + | 0.150715i | ||||
\(218\) | −9.58242 | + | 35.7621i | −0.649003 | + | 2.42211i | ||||
\(219\) | 1.43912 | − | 0.830875i | 0.0972466 | − | 0.0561454i | ||||
\(220\) | 34.3420 | + | 15.2789i | 2.31533 | + | 1.03010i | ||||
\(221\) | 8.66438i | 0.582829i | ||||||||
\(222\) | −4.51607 | + | 5.95060i | −0.303098 | + | 0.399378i | ||||
\(223\) | −16.6279 | − | 16.6279i | −1.11349 | − | 1.11349i | −0.992676 | − | 0.120811i | \(-0.961451\pi\) |
−0.120811 | − | 0.992676i | \(-0.538549\pi\) | |||||||
\(224\) | −66.0026 | + | 17.6853i | −4.40998 | + | 1.18165i | ||||
\(225\) | 10.3762 | − | 9.35291i | 0.691746 | − | 0.623527i | ||||
\(226\) | −38.8710 | + | 22.4422i | −2.58566 | + | 1.49283i | ||||
\(227\) | −7.75058 | − | 13.4244i | −0.514424 | − | 0.891009i | −0.999860 | − | 0.0167366i | \(-0.994672\pi\) |
0.485436 | − | 0.874272i | \(-0.338661\pi\) | |||||||
\(228\) | 13.1735i | 0.872434i | ||||||||
\(229\) | −20.3500 | + | 11.7491i | −1.34476 | + | 0.776400i | −0.987502 | − | 0.157604i | \(-0.949623\pi\) |
−0.357262 | + | 0.934004i | \(0.616290\pi\) | |||||||
\(230\) | −18.3688 | + | 1.93565i | −1.21120 | + | 0.127633i | ||||
\(231\) | 2.58983 | − | 4.48573i | 0.170399 | − | 0.295139i | ||||
\(232\) | −33.3617 | + | 33.3617i | −2.19030 | + | 2.19030i | ||||
\(233\) | 12.4666 | − | 12.4666i | 0.816711 | − | 0.816711i | −0.168919 | − | 0.985630i | \(-0.554028\pi\) |
0.985630 | + | 0.168919i | \(0.0540276\pi\) | |||||||
\(234\) | −25.2246 | − | 14.5634i | −1.64898 | − | 0.952040i | ||||
\(235\) | −16.3693 | − | 2.58812i | −1.06782 | − | 0.168830i | ||||
\(236\) | 27.2068 | − | 27.2068i | 1.77101 | − | 1.77101i | ||||
\(237\) | −2.89647 | − | 1.67228i | −0.188146 | − | 0.108626i | ||||
\(238\) | 21.1946 | − | 5.67908i | 1.37384 | − | 0.368120i | ||||
\(239\) | −0.517001 | − | 1.92948i | −0.0334420 | − | 0.124807i | 0.947187 | − | 0.320682i | \(-0.103912\pi\) |
−0.980629 | + | 0.195875i | \(0.937245\pi\) | |||||||
\(240\) | 13.6719 | + | 2.16163i | 0.882516 | + | 0.139533i | ||||
\(241\) | −2.23114 | + | 8.32675i | −0.143721 | + | 0.536373i | 0.856088 | + | 0.516830i | \(0.172888\pi\) |
−0.999809 | + | 0.0195433i | \(0.993779\pi\) | |||||||
\(242\) | −2.35197 | − | 1.35791i | −0.151190 | − | 0.0872898i | ||||
\(243\) | −2.88706 | − | 10.7747i | −0.185205 | − | 0.691196i | ||||
\(244\) | 5.47056 | + | 20.4164i | 0.350217 | + | 1.30703i | ||||
\(245\) | 1.41081 | + | 13.3882i | 0.0901333 | + | 0.855341i | ||||
\(246\) | −8.87869 | − | 2.37904i | −0.566085 | − | 0.151682i | ||||
\(247\) | 20.3167 | − | 5.44384i | 1.29272 | − | 0.346383i | ||||
\(248\) | −7.80649 | − | 7.80649i | −0.495713 | − | 0.495713i | ||||
\(249\) | 1.81758 | 0.115184 | ||||||||
\(250\) | 29.5864 | + | 6.26377i | 1.87121 | + | 0.396155i | ||||
\(251\) | −6.58162 | + | 6.58162i | −0.415428 | + | 0.415428i | −0.883625 | − | 0.468196i | \(-0.844904\pi\) |
0.468196 | + | 0.883625i | \(0.344904\pi\) | |||||||
\(252\) | −13.8727 | + | 51.7737i | −0.873899 | + | 3.26143i | ||||
\(253\) | −9.65491 | −0.606999 | ||||||||
\(254\) | 9.00857 | − | 33.6204i | 0.565248 | − | 2.10953i | ||||
\(255\) | −2.25427 | − | 0.356419i | −0.141168 | − | 0.0223198i | ||||
\(256\) | −12.4564 | − | 21.5750i | −0.778522 | − | 1.34844i | ||||
\(257\) | 9.30251 | − | 16.1124i | 0.580275 | − | 1.00507i | −0.415172 | − | 0.909743i | \(-0.636278\pi\) |
0.995446 | − | 0.0953223i | \(-0.0303882\pi\) | |||||||
\(258\) | 2.35089 | − | 2.35089i | 0.146360 | − | 0.146360i | ||||
\(259\) | 2.74935 | − | 21.7762i | 0.170837 | − | 1.35310i | ||||
\(260\) | −4.80183 | − | 45.5681i | −0.297797 | − | 2.82601i | ||||
\(261\) | 3.80273 | + | 14.1920i | 0.235383 | + | 0.878462i | ||||
\(262\) | 0.671039 | − | 2.50435i | 0.0414569 | − | 0.154719i | ||||
\(263\) | 4.51508 | + | 1.20981i | 0.278412 | + | 0.0746002i | 0.395323 | − | 0.918542i | \(-0.370633\pi\) |
−0.116911 | + | 0.993142i | \(0.537299\pi\) | |||||||
\(264\) | 12.4394 | + | 3.33314i | 0.765595 | + | 0.205141i | ||||
\(265\) | 11.8421 | + | 9.58426i | 0.727455 | + | 0.588757i | ||||
\(266\) | −26.6332 | − | 46.1301i | −1.63299 | − | 2.82842i | ||||
\(267\) | −1.64961 | −0.100955 | ||||||||
\(268\) | 54.8609 | − | 14.6999i | 3.35117 | − | 0.897942i | ||||
\(269\) | 10.1072i | 0.616249i | 0.951346 | + | 0.308124i | \(0.0997013\pi\) | ||||
−0.951346 | + | 0.308124i | \(0.900299\pi\) | |||||||
\(270\) | 10.0095 | − | 12.3676i | 0.609161 | − | 0.752667i | ||||
\(271\) | 3.57125 | − | 6.18559i | 0.216938 | − | 0.375748i | −0.736932 | − | 0.675967i | \(-0.763726\pi\) |
0.953870 | + | 0.300219i | \(0.0970597\pi\) | |||||||
\(272\) | 15.3253 | + | 26.5442i | 0.929232 | + | 1.60948i | ||||
\(273\) | −6.31420 | −0.382153 | ||||||||
\(274\) | 5.44802 | − | 1.45979i | 0.329127 | − | 0.0881893i | ||||
\(275\) | 15.0371 | + | 4.87689i | 0.906773 | + | 0.294088i | ||||
\(276\) | −7.12032 | + | 1.90788i | −0.428593 | + | 0.114841i | ||||
\(277\) | −3.50363 | + | 2.02282i | −0.210513 | + | 0.121540i | −0.601550 | − | 0.798835i | \(-0.705450\pi\) |
0.391037 | + | 0.920375i | \(0.372116\pi\) | |||||||
\(278\) | 33.0218 | − | 19.0652i | 1.98052 | − | 1.14345i | ||||
\(279\) | −3.32086 | + | 0.889822i | −0.198815 | + | 0.0532723i | ||||
\(280\) | −67.5734 | + | 25.9599i | −4.03828 | + | 1.55140i | ||||
\(281\) | 11.3169 | − | 3.03236i | 0.675111 | − | 0.180896i | 0.0950552 | − | 0.995472i | \(-0.469697\pi\) |
0.580056 | + | 0.814576i | \(0.303031\pi\) | |||||||
\(282\) | −9.10210 | −0.542022 | ||||||||
\(283\) | −1.76461 | − | 3.05639i | −0.104895 | − | 0.181684i | 0.808800 | − | 0.588083i | \(-0.200117\pi\) |
−0.913695 | + | 0.406400i | \(0.866784\pi\) | |||||||
\(284\) | −11.2288 | + | 19.4488i | −0.666304 | + | 1.15407i | ||||
\(285\) | 0.580615 | + | 5.50988i | 0.0343926 | + | 0.326377i | ||||
\(286\) | − | 32.9610i | − | 1.94902i | ||||||
\(287\) | 26.0873 | − | 6.99008i | 1.53989 | − | 0.412611i | ||||
\(288\) | −52.9064 | −3.11754 | ||||||||
\(289\) | 5.97311 | + | 10.3457i | 0.351359 | + | 0.608572i | ||||
\(290\) | −20.0108 | + | 24.7249i | −1.17507 | + | 1.45190i | ||||
\(291\) | 5.28135 | + | 1.41513i | 0.309598 | + | 0.0829566i | ||||
\(292\) | −18.7966 | − | 5.03654i | −1.09999 | − | 0.294741i | ||||
\(293\) | 7.16654 | − | 26.7459i | 0.418673 | − | 1.56251i | −0.358689 | − | 0.933457i | \(-0.616776\pi\) |
0.777362 | − | 0.629053i | \(-0.216557\pi\) | |||||||
\(294\) | 1.91366 | + | 7.14188i | 0.111607 | + | 0.416523i | ||||
\(295\) | 10.1803 | − | 12.5785i | 0.592719 | − | 0.732350i | ||||
\(296\) | 54.0666 | − | 7.41022i | 3.14256 | − | 0.430710i | ||||
\(297\) | 5.88086 | − | 5.88086i | 0.341242 | − | 0.341242i | ||||
\(298\) | −9.92675 | + | 17.1936i | −0.575041 | + | 0.996001i | ||||
\(299\) | 5.88484 | + | 10.1928i | 0.340329 | + | 0.589467i | ||||
\(300\) | 12.0533 | + | 0.625166i | 0.695899 | + | 0.0360940i | ||||
\(301\) | −2.52828 | + | 9.43566i | −0.145727 | + | 0.543862i | ||||
\(302\) | −46.8716 | −2.69716 | ||||||||
\(303\) | 1.03296 | − | 3.85508i | 0.0593423 | − | 0.221468i | ||||
\(304\) | 52.6133 | − | 52.6133i | 3.01758 | − | 3.01758i | ||||
\(305\) | 3.18794 | + | 8.29817i | 0.182541 | + | 0.475152i | ||||
\(306\) | 16.9892 | 0.971208 | ||||||||
\(307\) | 3.26290 | + | 3.26290i | 0.186223 | + | 0.186223i | 0.794061 | − | 0.607838i | \(-0.207963\pi\) |
−0.607838 | + | 0.794061i | \(0.707963\pi\) | |||||||
\(308\) | −58.5890 | + | 15.6989i | −3.33842 | + | 0.894526i | ||||
\(309\) | 1.34697 | + | 0.360920i | 0.0766265 | + | 0.0205320i | ||||
\(310\) | −5.78552 | − | 4.68244i | −0.328596 | − | 0.265945i | ||||
\(311\) | −2.22646 | − | 8.30927i | −0.126251 | − | 0.471175i | 0.873630 | − | 0.486591i | \(-0.161760\pi\) |
−0.999881 | + | 0.0154153i | \(0.995093\pi\) | |||||||
\(312\) | −4.06321 | − | 15.1641i | −0.230034 | − | 0.858499i | ||||
\(313\) | −17.8541 | − | 10.3081i | −1.00917 | − | 0.582647i | −0.0982239 | − | 0.995164i | \(-0.531316\pi\) |
−0.910950 | + | 0.412518i | \(0.864649\pi\) | |||||||
\(314\) | 4.64207 | − | 17.3244i | 0.261967 | − | 0.977674i | ||||
\(315\) | −3.52044 | + | 22.2661i | −0.198354 | + | 1.25455i | ||||
\(316\) | 10.1369 | + | 37.8314i | 0.570245 | + | 2.12818i | ||||
\(317\) | 1.63007 | − | 0.436776i | 0.0915539 | − | 0.0245318i | −0.212751 | − | 0.977106i | \(-0.568242\pi\) |
0.304305 | + | 0.952575i | \(0.401576\pi\) | |||||||
\(318\) | 7.24621 | + | 4.18360i | 0.406347 | + | 0.234605i | ||||
\(319\) | −11.7569 | + | 11.7569i | −0.658258 | + | 0.658258i | ||||
\(320\) | −31.4953 | − | 43.3249i | −1.76064 | − | 2.42194i | ||||
\(321\) | −0.00195547 | − | 0.00112899i | −0.000109144 | − | 6.30141e-5i | ||||
\(322\) | 21.0763 | − | 21.0763i | 1.17453 | − | 1.17453i | ||||
\(323\) | −8.67508 | + | 8.67508i | −0.482695 | + | 0.482695i | ||||
\(324\) | −19.1064 | + | 33.0933i | −1.06147 | + | 1.83852i | ||||
\(325\) | −4.01679 | − | 18.8475i | −0.222811 | − | 1.04547i | ||||
\(326\) | 0.647618 | − | 0.373902i | 0.0358682 | − | 0.0207085i | ||||
\(327\) | 6.21434i | 0.343654i | ||||||||
\(328\) | 33.5746 | + | 58.1530i | 1.85385 | + | 3.21096i | ||||
\(329\) | 23.1608 | − | 13.3719i | 1.27689 | − | 0.737215i | ||||
\(330\) | 8.57570 | + | 1.35589i | 0.472077 | + | 0.0746391i | ||||
\(331\) | −22.6735 | + | 6.07535i | −1.24625 | + | 0.333932i | −0.820887 | − | 0.571091i | \(-0.806520\pi\) |
−0.425363 | + | 0.905023i | \(0.639854\pi\) | |||||||
\(332\) | −15.0504 | − | 15.0504i | −0.825999 | − | 0.825999i | ||||
\(333\) | 6.42004 | − | 15.7351i | 0.351816 | − | 0.862278i | ||||
\(334\) | 42.4851i | 2.32468i | ||||||||
\(335\) | 22.2980 | − | 8.56631i | 1.21827 | − | 0.468027i | ||||
\(336\) | −19.3442 | + | 11.1684i | −1.05531 | + | 0.609284i | ||||
\(337\) | 3.40946 | − | 12.7243i | 0.185725 | − | 0.693135i | −0.808749 | − | 0.588153i | \(-0.799855\pi\) |
0.994474 | − | 0.104981i | \(-0.0334782\pi\) | |||||||
\(338\) | −4.34424 | + | 2.50815i | −0.236295 | + | 0.136425i | ||||
\(339\) | −5.32716 | + | 5.32716i | −0.289332 | + | 0.289332i | ||||
\(340\) | 15.7151 | + | 21.6178i | 0.852274 | + | 1.17239i | ||||
\(341\) | −2.75105 | − | 2.75105i | −0.148978 | − | 0.148978i | ||||
\(342\) | −10.6743 | − | 39.8371i | −0.577202 | − | 2.15415i | ||||
\(343\) | 2.49912 | + | 2.49912i | 0.134940 | + | 0.134940i | ||||
\(344\) | −24.2875 | −1.30950 | ||||||||
\(345\) | −2.89403 | + | 1.11181i | −0.155809 | + | 0.0598577i | ||||
\(346\) | −7.18456 | + | 26.8131i | −0.386244 | + | 1.44148i | ||||
\(347\) | 1.57444i | 0.0845206i | 0.999107 | + | 0.0422603i | \(0.0134559\pi\) | ||||
−0.999107 | + | 0.0422603i | \(0.986544\pi\) | |||||||
\(348\) | −6.34722 | + | 10.9937i | −0.340247 | + | 0.589325i | ||||
\(349\) | 0.581262 | + | 0.335592i | 0.0311142 | + | 0.0179638i | 0.515476 | − | 0.856904i | \(-0.327615\pi\) |
−0.484362 | + | 0.874868i | \(0.660948\pi\) | |||||||
\(350\) | −43.4715 | + | 22.1794i | −2.32365 | + | 1.18554i | ||||
\(351\) | −9.79300 | − | 2.62403i | −0.522712 | − | 0.140060i | ||||
\(352\) | −29.9354 | − | 51.8497i | −1.59556 | − | 2.76360i | ||||
\(353\) | −0.505277 | + | 0.875166i | −0.0268932 | + | 0.0465804i | −0.879159 | − | 0.476529i | \(-0.841895\pi\) |
0.852266 | + | 0.523109i | \(0.175228\pi\) | |||||||
\(354\) | 4.44377 | − | 7.69683i | 0.236183 | − | 0.409082i | ||||
\(355\) | −3.83930 | + | 8.62946i | −0.203769 | + | 0.458004i | ||||
\(356\) | 13.6596 | + | 13.6596i | 0.723957 | + | 0.723957i | ||||
\(357\) | 3.18954 | − | 1.84148i | 0.168809 | − | 0.0974616i | ||||
\(358\) | 8.08749 | + | 30.1829i | 0.427437 | + | 1.59522i | ||||
\(359\) | − | 1.68175i | − | 0.0887594i | −0.999015 | − | 0.0443797i | \(-0.985869\pi\) | ||
0.999015 | − | 0.0443797i | \(-0.0141311\pi\) | |||||||
\(360\) | −55.7394 | + | 5.87365i | −2.93772 | + | 0.309569i | ||||
\(361\) | 9.33787 | + | 5.39122i | 0.491467 | + | 0.283749i | ||||
\(362\) | 33.1698i | 1.74337i | ||||||||
\(363\) | −0.440313 | − | 0.117981i | −0.0231104 | − | 0.00619242i | ||||
\(364\) | 52.2846 | + | 52.2846i | 2.74046 | + | 2.74046i | ||||
\(365\) | −8.08378 | − | 1.27811i | −0.423124 | − | 0.0668993i | ||||
\(366\) | 2.44115 | + | 4.22819i | 0.127601 | + | 0.221011i | ||||
\(367\) | 27.8415 | + | 7.46011i | 1.45331 | + | 0.389414i | 0.897175 | − | 0.441675i | \(-0.145615\pi\) |
0.556139 | + | 0.831089i | \(0.312282\pi\) | |||||||
\(368\) | 36.0576 | + | 20.8178i | 1.87963 | + | 1.08521i | ||||
\(369\) | 20.9111 | 1.08859 | ||||||||
\(370\) | 35.7262 | − | 8.78819i | 1.85732 | − | 0.456876i | ||||
\(371\) | −24.5845 | −1.27636 | ||||||||
\(372\) | −2.57248 | − | 1.48522i | −0.133377 | − | 0.0770052i | ||||
\(373\) | −5.32489 | − | 1.42680i | −0.275713 | − | 0.0738770i | 0.118313 | − | 0.992976i | \(-0.462251\pi\) |
−0.394026 | + | 0.919099i | \(0.628918\pi\) | |||||||
\(374\) | 9.61280 | + | 16.6499i | 0.497066 | + | 0.860944i | ||||
\(375\) | 5.06892 | − | 0.269765i | 0.261758 | − | 0.0139306i | ||||
\(376\) | 47.0178 | + | 47.0178i | 2.42476 | + | 2.42476i | ||||
\(377\) | 19.5779 | + | 5.24588i | 1.00831 | + | 0.270177i | ||||
\(378\) | 25.6754i | 1.32060i | ||||||||
\(379\) | −16.7724 | − | 9.68357i | −0.861542 | − | 0.497412i | 0.00298604 | − | 0.999996i | \(-0.499050\pi\) |
−0.864529 | + | 0.502584i | \(0.832383\pi\) | |||||||
\(380\) | 40.8167 | − | 50.4322i | 2.09385 | − | 2.58712i | ||||
\(381\) | − | 5.84219i | − | 0.299305i | ||||||
\(382\) | 15.5723 | + | 58.1165i | 0.796747 | + | 2.97350i | ||||
\(383\) | −30.8421 | + | 17.8067i | −1.57596 | + | 0.909878i | −0.580540 | + | 0.814232i | \(0.697159\pi\) |
−0.995415 | + | 0.0956469i | \(0.969508\pi\) | |||||||
\(384\) | −8.64286 | − | 8.64286i | −0.441054 | − | 0.441054i | ||||
\(385\) | −23.8133 | + | 9.14843i | −1.21364 | + | 0.466247i | ||||
\(386\) | 21.4604 | − | 37.1705i | 1.09231 | − | 1.89193i | ||||
\(387\) | −3.78172 | + | 6.55013i | −0.192236 | + | 0.332962i | ||||
\(388\) | −32.0141 | − | 55.4501i | −1.62527 | − | 2.81505i | ||||
\(389\) | 21.4450 | + | 5.74617i | 1.08731 | + | 0.291343i | 0.757585 | − | 0.652736i | \(-0.226379\pi\) |
0.329720 | + | 0.944079i | \(0.393046\pi\) | |||||||
\(390\) | −3.79561 | − | 9.87994i | −0.192198 | − | 0.500290i | ||||
\(391\) | −5.94531 | − | 3.43253i | −0.300667 | − | 0.173590i | ||||
\(392\) | 27.0069 | − | 46.7773i | 1.36406 | − | 2.36261i | ||||
\(393\) | − | 0.435179i | − | 0.0219519i | ||||||
\(394\) | 13.0077 | − | 48.5455i | 0.655320 | − | 2.44569i | ||||
\(395\) | 5.90721 | + | 15.3764i | 0.297224 | + | 0.773672i | ||||
\(396\) | −46.9638 | −2.36002 | ||||||||
\(397\) | −11.1584 | − | 11.1584i | −0.560025 | − | 0.560025i | 0.369289 | − | 0.929314i | \(-0.379601\pi\) |
−0.929314 | + | 0.369289i | \(0.879601\pi\) | |||||||
\(398\) | −11.5268 | − | 43.0185i | −0.577785 | − | 2.15632i | ||||
\(399\) | −6.32200 | − | 6.32200i | −0.316496 | − | 0.316496i | ||||
\(400\) | −45.6427 | − | 50.6363i | −2.28213 | − | 2.53182i | ||||
\(401\) | 6.09623 | − | 6.09623i | 0.304431 | − | 0.304431i | −0.538314 | − | 0.842745i | \(-0.680938\pi\) |
0.842745 | + | 0.538314i | \(0.180938\pi\) | |||||||
\(402\) | 11.3616 | − | 6.55961i | 0.566664 | − | 0.327164i | ||||
\(403\) | −1.22751 | + | 4.58115i | −0.0611468 | + | 0.228203i | ||||
\(404\) | −40.4753 | + | 23.3684i | −2.01372 | + | 1.16262i | ||||
\(405\) | −6.53281 | + | 14.6836i | −0.324618 | + | 0.729633i | ||||
\(406\) | − | 51.3295i | − | 2.54744i | ||||||
\(407\) | 19.0534 | − | 2.61141i | 0.944442 | − | 0.129443i | ||||
\(408\) | 6.47497 | + | 6.47497i | 0.320559 | + | 0.320559i | ||||
\(409\) | 35.4178 | − | 9.49017i | 1.75130 | − | 0.469258i | 0.766394 | − | 0.642370i | \(-0.222049\pi\) |
0.984902 | + | 0.173112i | \(0.0553822\pi\) | |||||||
\(410\) | 26.6192 | + | 36.6174i | 1.31463 | + | 1.80841i | ||||
\(411\) | 0.819864 | − | 0.473348i | 0.0404409 | − | 0.0233486i | ||||
\(412\) | −8.16497 | − | 14.1421i | −0.402259 | − | 0.696734i | ||||
\(413\) | 26.1133i | 1.28495i | ||||||||
\(414\) | 19.9862 | − | 11.5390i | 0.982269 | − | 0.567113i | ||||
\(415\) | −6.95826 | − | 5.63158i | −0.341568 | − | 0.276443i | ||||
\(416\) | −36.4923 | + | 63.2065i | −1.78918 | + | 3.09896i | ||||
\(417\) | 4.52555 | − | 4.52555i | 0.221617 | − | 0.221617i | ||||
\(418\) | 33.0017 | − | 33.0017i | 1.61417 | − | 1.61417i | ||||
\(419\) | −33.2235 | − | 19.1816i | −1.62307 | − | 0.937082i | −0.986091 | − | 0.166205i | \(-0.946849\pi\) |
−0.636983 | − | 0.770878i | \(-0.719818\pi\) | |||||||
\(420\) | −15.7540 | + | 11.4525i | −0.768718 | + | 0.558824i | ||||
\(421\) | 26.9046 | − | 26.9046i | 1.31125 | − | 1.31125i | 0.390759 | − | 0.920493i | \(-0.372212\pi\) |
0.920493 | − | 0.390759i | \(-0.127788\pi\) | |||||||
\(422\) | 45.5594 | + | 26.3037i | 2.21780 | + | 1.28045i | ||||
\(423\) | 20.0013 | − | 5.35932i | 0.972494 | − | 0.260579i | ||||
\(424\) | −15.8202 | − | 59.0419i | −0.768298 | − | 2.86733i | ||||
\(425\) | 7.52575 | + | 8.34912i | 0.365052 | + | 0.404992i | ||||
\(426\) | −1.34260 | + | 5.01065i | −0.0650491 | + | 0.242767i | ||||
\(427\) | −12.4233 | − | 7.17258i | −0.601204 | − | 0.347105i | ||||
\(428\) | 0.00684364 | + | 0.0255408i | 0.000330800 | + | 0.00123456i | ||||
\(429\) | −1.43190 | − | 5.34392i | −0.0691328 | − | 0.258007i | ||||
\(430\) | −16.2839 | + | 1.71595i | −0.785281 | + | 0.0827506i | ||||
\(431\) | −11.6015 | − | 3.10862i | −0.558825 | − | 0.149737i | −0.0316588 | − | 0.999499i | \(-0.510079\pi\) |
−0.527167 | + | 0.849762i | \(0.676746\pi\) | |||||||
\(432\) | −34.6431 | + | 9.28260i | −1.66677 | + | 0.446609i | ||||
\(433\) | −16.4631 | − | 16.4631i | −0.791166 | − | 0.791166i | 0.190518 | − | 0.981684i | \(-0.438983\pi\) |
−0.981684 | + | 0.190518i | \(0.938983\pi\) | |||||||
\(434\) | 12.0109 | 0.576540 | ||||||||
\(435\) | −2.17022 | + | 4.87793i | −0.104054 | + | 0.233879i | ||||
\(436\) | 51.4577 | − | 51.4577i | 2.46438 | − | 2.46438i | ||||
\(437\) | −4.31332 | + | 16.0975i | −0.206334 | + | 0.770050i | ||||
\(438\) | −4.49495 | −0.214777 | ||||||||
\(439\) | 3.14478 | − | 11.7365i | 0.150092 | − | 0.560152i | −0.849384 | − | 0.527776i | \(-0.823026\pi\) |
0.999476 | − | 0.0323756i | \(-0.0103073\pi\) | |||||||
\(440\) | −37.2947 | − | 51.3027i | −1.77796 | − | 2.44576i | ||||
\(441\) | −8.41029 | − | 14.5670i | −0.400490 | − | 0.693669i | ||||
\(442\) | 11.7183 | − | 20.2968i | 0.557385 | − | 0.965418i | ||||
\(443\) | −8.60914 | + | 8.60914i | −0.409033 | + | 0.409033i | −0.881401 | − | 0.472369i | \(-0.843399\pi\) |
0.472369 | + | 0.881401i | \(0.343399\pi\) | |||||||
\(444\) | 13.5355 | − | 5.69096i | 0.642366 | − | 0.270081i | ||||
\(445\) | 6.31524 | + | 5.11116i | 0.299371 | + | 0.242292i | ||||
\(446\) | 16.4629 | + | 61.4405i | 0.779543 | + | 2.90929i | ||||
\(447\) | −0.862481 | + | 3.21882i | −0.0407940 | + | 0.152245i | ||||
\(448\) | 83.4908 | + | 22.3713i | 3.94457 | + | 1.05694i | ||||
\(449\) | −36.8736 | − | 9.88024i | −1.74017 | − | 0.466277i | −0.757686 | − | 0.652619i | \(-0.773670\pi\) |
−0.982485 | + | 0.186342i | \(0.940337\pi\) | |||||||
\(450\) | −36.9563 | + | 7.87615i | −1.74214 | + | 0.371285i | ||||
\(451\) | 11.8319 | + | 20.4934i | 0.557142 | + | 0.964998i | ||||
\(452\) | 88.2229 | 4.14966 | ||||||||
\(453\) | −7.59924 | + | 2.03621i | −0.357043 | + | 0.0956695i | ||||
\(454\) | 41.9298i | 1.96786i | ||||||||
\(455\) | 24.1727 | + | 19.5639i | 1.13324 | + | 0.917170i | ||||
\(456\) | 11.1146 | − | 19.2511i | 0.520490 | − | 0.901515i | ||||
\(457\) | −17.9748 | − | 31.1333i | −0.840827 | − | 1.45636i | −0.889196 | − | 0.457526i | \(-0.848736\pi\) |
0.0483689 | − | 0.998830i | \(-0.484598\pi\) | |||||||
\(458\) | 63.5612 | 2.97002 | ||||||||
\(459\) | 5.71210 | − | 1.53055i | 0.266618 | − | 0.0714400i | ||||
\(460\) | 33.1702 | + | 14.7576i | 1.54657 | + | 0.688077i | ||||
\(461\) | −17.9013 | + | 4.79664i | −0.833747 | + | 0.223402i | −0.650348 | − | 0.759637i | \(-0.725377\pi\) |
−0.183400 | + | 0.983038i | \(0.558710\pi\) | |||||||
\(462\) | −12.1336 | + | 7.00536i | −0.564508 | + | 0.325919i | ||||
\(463\) | 19.9636 | − | 11.5260i | 0.927788 | − | 0.535659i | 0.0416767 | − | 0.999131i | \(-0.486730\pi\) |
0.886111 | + | 0.463472i | \(0.153397\pi\) | |||||||
\(464\) | 69.2576 | − | 18.5575i | 3.21520 | − | 0.861511i | ||||
\(465\) | −1.14142 | − | 0.507822i | −0.0529319 | − | 0.0235497i | ||||
\(466\) | −46.0642 | + | 12.3429i | −2.13388 | + | 0.571773i | ||||
\(467\) | −1.82581 | −0.0844885 | −0.0422442 | − | 0.999107i | \(-0.513451\pi\) | ||||
−0.0422442 | + | 0.999107i | \(0.513451\pi\) | |||||||
\(468\) | 28.6253 | + | 49.5804i | 1.32320 | + | 2.29186i | ||||
\(469\) | −19.2734 | + | 33.3825i | −0.889964 | + | 1.54146i | ||||
\(470\) | 34.8457 | + | 28.2019i | 1.60731 | + | 1.30086i | ||||
\(471\) | − | 3.01045i | − | 0.138714i | ||||||
\(472\) | −62.7135 | + | 16.8040i | −2.88662 | + | 0.773468i | ||||
\(473\) | −8.55907 | −0.393546 | ||||||||
\(474\) | 4.52342 | + | 7.83480i | 0.207768 | + | 0.359864i | ||||
\(475\) | 14.8490 | − | 22.8925i | 0.681320 | − | 1.05038i | ||||
\(476\) | −41.6593 | − | 11.1626i | −1.90945 | − | 0.511636i | ||||
\(477\) | −18.3864 | − | 4.92661i | −0.841854 | − | 0.225574i | ||||
\(478\) | −1.39846 | + | 5.21913i | −0.0639641 | + | 0.238717i | ||||
\(479\) | 2.02400 | + | 7.55367i | 0.0924789 | + | 0.345136i | 0.996625 | − | 0.0820871i | \(-0.0261586\pi\) |
−0.904146 | + | 0.427223i | \(0.859492\pi\) | |||||||
\(480\) | −14.9438 | − | 12.0945i | −0.682086 | − | 0.552038i | ||||
\(481\) | −14.3703 | − | 18.5233i | −0.655228 | − | 0.844588i | ||||
\(482\) | 16.4883 | − | 16.4883i | 0.751020 | − | 0.751020i | ||||
\(483\) | 2.50147 | − | 4.33267i | 0.113821 | − | 0.197143i | ||||
\(484\) | 2.66906 | + | 4.62294i | 0.121321 | + | 0.210134i | ||||
\(485\) | −15.8340 | − | 21.7813i | −0.718986 | − | 0.989038i | ||||
\(486\) | −7.80936 | + | 29.1449i | −0.354240 | + | 1.32204i | ||||
\(487\) | 8.85392 | 0.401209 | 0.200605 | − | 0.979672i | \(-0.435709\pi\) | ||||
0.200605 | + | 0.979672i | \(0.435709\pi\) | |||||||
\(488\) | 9.23117 | − | 34.4512i | 0.417875 | − | 1.55953i | ||||
\(489\) | 0.0887543 | − | 0.0887543i | 0.00401361 | − | 0.00401361i | ||||
\(490\) | 14.8023 | − | 33.2707i | 0.668700 | − | 1.50302i | ||||
\(491\) | −33.5650 | −1.51477 | −0.757384 | − | 0.652969i | \(-0.773523\pi\) | ||||
−0.757384 | + | 0.652969i | \(0.773523\pi\) | |||||||
\(492\) | 12.7755 | + | 12.7755i | 0.575962 | + | 0.575962i | ||||
\(493\) | −11.4195 | + | 3.05984i | −0.514307 | + | 0.137808i | ||||
\(494\) | −54.9555 | − | 14.7253i | −2.47257 | − | 0.662522i | ||||
\(495\) | −19.6429 | + | 2.06991i | −0.882882 | + | 0.0930355i | ||||
\(496\) | 4.34238 | + | 16.2060i | 0.194979 | + | 0.727670i | ||||
\(497\) | −3.94482 | − | 14.7223i | −0.176949 | − | 0.660384i | ||||
\(498\) | −4.25777 | − | 2.45823i | −0.190795 | − | 0.110156i | ||||
\(499\) | −6.47278 | + | 24.1568i | −0.289762 | + | 1.08141i | 0.655528 | + | 0.755171i | \(0.272446\pi\) |
−0.945289 | + | 0.326234i | \(0.894220\pi\) | |||||||
\(500\) | −44.2069 | − | 39.7393i | −1.97699 | − | 1.77720i | ||||
\(501\) | 1.84565 | + | 6.88806i | 0.0824575 | + | 0.307736i | ||||
\(502\) | 24.3193 | − | 6.51633i | 1.08542 | − | 0.290838i | ||||
\(503\) | 36.9696 | + | 21.3444i | 1.64839 | + | 0.951700i | 0.977711 | + | 0.209956i | \(0.0673321\pi\) |
0.670683 | + | 0.741744i | \(0.266001\pi\) | |||||||
\(504\) | 63.9550 | − | 63.9550i | 2.84878 | − | 2.84878i | ||||
\(505\) | −15.8991 | + | 11.5579i | −0.707500 | + | 0.514320i | ||||
\(506\) | 22.6171 | + | 13.0580i | 1.00545 | + | 0.580499i | ||||
\(507\) | −0.595366 | + | 0.595366i | −0.0264411 | + | 0.0264411i | ||||
\(508\) | −48.3761 | + | 48.3761i | −2.14634 | + | 2.14634i | ||||
\(509\) | 11.1857 | − | 19.3742i | 0.495798 | − | 0.858747i | −0.504191 | − | 0.863592i | \(-0.668209\pi\) |
0.999988 | + | 0.00484560i | \(0.00154241\pi\) | |||||||
\(510\) | 4.79871 | + | 3.88378i | 0.212490 | + | 0.171976i | ||||
\(511\) | 11.4376 | − | 6.60352i | 0.505971 | − | 0.292123i | ||||
\(512\) | 13.5447i | 0.598598i | ||||||||
\(513\) | −7.17784 | − | 12.4324i | −0.316909 | − | 0.548903i | ||||
\(514\) | −43.5832 | + | 25.1628i | −1.92237 | + | 1.10988i | ||||
\(515\) | −4.03836 | − | 5.55517i | −0.177951 | − | 0.244790i | ||||
\(516\) | −6.31215 | + | 1.69134i | −0.277877 | + | 0.0744570i | ||||
\(517\) | 16.5694 | + | 16.5694i | 0.728719 | + | 0.728719i | ||||
\(518\) | −35.8922 | + | 47.2934i | −1.57701 | + | 2.07795i | ||||
\(519\) | 4.65929i | 0.204520i | ||||||||
\(520\) | −31.4292 | + | 70.6425i | −1.37826 | + | 3.09788i | ||||
\(521\) | −3.22130 | + | 1.85982i | −0.141128 | + | 0.0814802i | −0.568901 | − | 0.822406i | \(-0.692631\pi\) |
0.427774 | + | 0.903886i | \(0.359298\pi\) | |||||||
\(522\) | 10.2862 | − | 38.3885i | 0.450214 | − | 1.68022i | ||||
\(523\) | −11.1628 | + | 6.44484i | −0.488115 | + | 0.281813i | −0.723792 | − | 0.690018i | \(-0.757602\pi\) |
0.235677 | + | 0.971831i | \(0.424269\pi\) | |||||||
\(524\) | −3.60348 | + | 3.60348i | −0.157419 | + | 0.157419i | ||||
\(525\) | −6.08446 | + | 5.48442i | −0.265547 | + | 0.239360i | ||||
\(526\) | −8.94057 | − | 8.94057i | −0.389828 | − | 0.389828i | ||||
\(527\) | −0.715989 | − | 2.67211i | −0.0311890 | − | 0.116399i | ||||
\(528\) | −13.8389 | − | 13.8389i | −0.602262 | − | 0.602262i | ||||
\(529\) | 13.6745 | 0.594544 | ||||||||
\(530\) | −14.7783 | − | 38.4678i | −0.641928 | − | 1.67093i | ||||
\(531\) | −5.23298 | + | 19.5298i | −0.227092 | + | 0.847519i | ||||
\(532\) | 104.698i | 4.53925i | ||||||||
\(533\) | 14.4235 | − | 24.9822i | 0.624751 | − | 1.08210i | ||||
\(534\) | 3.86431 | + | 2.23106i | 0.167225 | + | 0.0965474i | ||||
\(535\) | 0.00398809 | + | 0.0103810i | 0.000172420 | + | 0.000448808i | ||||
\(536\) | −92.5737 | − | 24.8051i | −3.99858 | − | 1.07142i | ||||
\(537\) | 2.62243 | + | 4.54218i | 0.113166 | + | 0.196009i | ||||
\(538\) | 13.6698 | − | 23.6767i | 0.589345 | − | 1.02078i | ||||
\(539\) | 9.51739 | − | 16.4846i | 0.409943 | − | 0.710042i | ||||
\(540\) | −29.1931 | + | 11.2152i | −1.25627 | + | 0.482626i | ||||
\(541\) | 13.1759 | + | 13.1759i | 0.566475 | + | 0.566475i | 0.931139 | − | 0.364664i | \(-0.118816\pi\) |
−0.364664 | + | 0.931139i | \(0.618816\pi\) | |||||||
\(542\) | −16.7317 | + | 9.66005i | −0.718688 | + | 0.414935i | ||||
\(543\) | 1.44097 | + | 5.37778i | 0.0618380 | + | 0.230782i | ||||
\(544\) | − | 42.5707i | − | 1.82520i | ||||||
\(545\) | 19.2545 | − | 23.7905i | 0.824772 | − | 1.01907i | ||||
\(546\) | 14.7913 | + | 8.53978i | 0.633011 | + | 0.365469i | ||||
\(547\) | 35.5083i | 1.51823i | 0.650958 | + | 0.759114i | \(0.274367\pi\) | ||||
−0.650958 | + | 0.759114i | \(0.725633\pi\) | |||||||
\(548\) | −10.7084 | − | 2.86931i | −0.457441 | − | 0.122571i | ||||
\(549\) | −7.85383 | − | 7.85383i | −0.335193 | − | 0.335193i | ||||
\(550\) | −28.6294 | − | 31.7617i | −1.22076 | − | 1.35432i | ||||
\(551\) | 14.3497 | + | 24.8545i | 0.611319 | + | 1.05884i | ||||
\(552\) | 12.0150 | + | 3.21941i | 0.511393 | + | 0.137027i | ||||
\(553\) | −23.0202 | − | 13.2907i | −0.978917 | − | 0.565178i | ||||
\(554\) | 10.9433 | 0.464934 | ||||||||
\(555\) | 5.41047 | − | 2.97685i | 0.229662 | − | 0.126360i | ||||
\(556\) | −74.9474 | −3.17848 | ||||||||
\(557\) | −38.5889 | − | 22.2793i | −1.63506 | − | 0.944004i | −0.982499 | − | 0.186270i | \(-0.940360\pi\) |
−0.652564 | − | 0.757734i | \(-0.726307\pi\) | |||||||
\(558\) | 8.98275 | + | 2.40692i | 0.380270 | + | 0.101893i | ||||
\(559\) | 5.21690 | + | 9.03594i | 0.220651 | + | 0.382180i | ||||
\(560\) | 108.660 | + | 17.1799i | 4.59170 | + | 0.725985i | ||||
\(561\) | 2.28182 | + | 2.28182i | 0.0963384 | + | 0.0963384i | ||||
\(562\) | −30.6117 | − | 8.20238i | −1.29128 | − | 0.345996i | ||||
\(563\) | 28.2721i | 1.19153i | 0.803160 | + | 0.595763i | \(0.203150\pi\) | ||||
−0.803160 | + | 0.595763i | \(0.796850\pi\) | |||||||
\(564\) | 15.4938 | + | 8.94536i | 0.652407 | + | 0.376668i | ||||
\(565\) | 36.8997 | − | 3.88838i | 1.55238 | − | 0.163586i | ||||
\(566\) | 9.54634i | 0.401263i | ||||||||
\(567\) | −6.71236 | − | 25.0509i | −0.281893 | − | 1.05204i | ||||
\(568\) | 32.8184 | − | 18.9477i | 1.37703 | − | 0.795027i | ||||
\(569\) | −8.28851 | − | 8.28851i | −0.347472 | − | 0.347472i | 0.511695 | − | 0.859167i | \(-0.329018\pi\) |
−0.859167 | + | 0.511695i | \(0.829018\pi\) | |||||||
\(570\) | 6.09184 | − | 13.6924i | 0.255159 | − | 0.573514i | ||||
\(571\) | 4.02839 | − | 6.97737i | 0.168583 | − | 0.291994i | −0.769339 | − | 0.638841i | \(-0.779414\pi\) |
0.937922 | + | 0.346847i | \(0.112748\pi\) | |||||||
\(572\) | −32.3934 | + | 56.1070i | −1.35444 | + | 2.34595i | ||||
\(573\) | 5.04943 | + | 8.74586i | 0.210943 | + | 0.365364i | ||||
\(574\) | −70.5649 | − | 18.9078i | −2.94532 | − | 0.789196i | ||||
\(575\) | 14.5241 | + | 4.71049i | 0.605695 | + | 0.196441i | ||||
\(576\) | 57.9584 | + | 33.4623i | 2.41494 | + | 1.39426i | ||||
\(577\) | 1.78894 | − | 3.09854i | 0.0744746 | − | 0.128994i | −0.826383 | − | 0.563108i | \(-0.809605\pi\) |
0.900858 | + | 0.434115i | \(0.142939\pi\) | |||||||
\(578\) | − | 32.3139i | − | 1.34408i | ||||||
\(579\) | 1.86458 | − | 6.95870i | 0.0774892 | − | 0.289194i | ||||
\(580\) | 58.3620 | − | 22.4212i | 2.42335 | − | 0.930988i | ||||
\(581\) | 14.4455 | 0.599301 | ||||||||
\(582\) | −10.4579 | − | 10.4579i | −0.433494 | − | 0.433494i | ||||
\(583\) | −5.57514 | − | 20.8067i | −0.230899 | − | 0.861725i | ||||
\(584\) | 23.2191 | + | 23.2191i | 0.960814 | + | 0.960814i | ||||
\(585\) | 14.1579 | + | 19.4756i | 0.585358 | + | 0.805219i | ||||
\(586\) | −52.9611 | + | 52.9611i | −2.18780 | + | 2.18780i | ||||
\(587\) | 5.17858 | − | 2.98985i | 0.213743 | − | 0.123404i | −0.389307 | − | 0.921108i | \(-0.627285\pi\) |
0.603050 | + | 0.797704i | \(0.293952\pi\) | |||||||
\(588\) | 3.76142 | − | 14.0378i | 0.155118 | − | 0.578909i | ||||
\(589\) | −5.81584 | + | 3.35778i | −0.239637 | + | 0.138355i | ||||
\(590\) | −40.8600 | + | 15.6973i | −1.68218 | + | 0.646248i | ||||
\(591\) | − | 8.43571i | − | 0.346999i | ||||||
\(592\) | −76.7881 | − | 31.3301i | −3.15597 | − | 1.28766i | ||||
\(593\) | 21.7123 | + | 21.7123i | 0.891618 | + | 0.891618i | 0.994675 | − | 0.103058i | \(-0.0328626\pi\) |
−0.103058 | + | 0.994675i | \(0.532863\pi\) | |||||||
\(594\) | −21.7299 | + | 5.82252i | −0.891590 | + | 0.238901i | ||||
\(595\) | −17.9162 | − | 2.83270i | −0.734493 | − | 0.116129i | ||||
\(596\) | 33.7951 | − | 19.5116i | 1.38430 | − | 0.799228i | ||||
\(597\) | −3.73764 | − | 6.47379i | −0.152971 | − | 0.264954i | ||||
\(598\) | − | 31.8363i | − | 1.30189i | ||||||
\(599\) | −32.9048 | + | 18.9976i | −1.34445 | + | 0.776221i | −0.987458 | − | 0.157885i | \(-0.949533\pi\) |
−0.356997 | + | 0.934106i | \(0.616199\pi\) | |||||||
\(600\) | −17.0867 | − | 11.0831i | −0.697561 | − | 0.452467i | ||||
\(601\) | −20.6997 | + | 35.8529i | −0.844358 | + | 1.46247i | 0.0418186 | + | 0.999125i | \(0.486685\pi\) |
−0.886177 | + | 0.463347i | \(0.846649\pi\) | |||||||
\(602\) | 18.6841 | − | 18.6841i | 0.761507 | − | 0.761507i | ||||
\(603\) | −21.1040 | + | 21.1040i | −0.859422 | + | 0.859422i | ||||
\(604\) | 79.7861 | + | 46.0645i | 3.24645 | + | 1.87434i | ||||
\(605\) | 1.32010 | + | 1.81593i | 0.0536698 | + | 0.0738282i | ||||
\(606\) | −7.63366 | + | 7.63366i | −0.310096 | + | 0.310096i | ||||
\(607\) | 14.5935 | + | 8.42554i | 0.592331 | + | 0.341982i | 0.766019 | − | 0.642818i | \(-0.222235\pi\) |
−0.173688 | + | 0.984801i | \(0.555568\pi\) | |||||||
\(608\) | −99.8221 | + | 26.7472i | −4.04832 | + | 1.08474i | ||||
\(609\) | −2.22987 | − | 8.32198i | −0.0903588 | − | 0.337224i | ||||
\(610\) | 3.75514 | − | 23.7505i | 0.152041 | − | 0.961630i | ||||
\(611\) | 7.39321 | − | 27.5918i | 0.299097 | − | 1.11625i | ||||
\(612\) | −28.9194 | − | 16.6966i | −1.16900 | − | 0.674922i | ||||
\(613\) | −3.29942 | − | 12.3136i | −0.133262 | − | 0.497341i | 0.866737 | − | 0.498766i | \(-0.166213\pi\) |
−0.999999 | + | 0.00142457i | \(0.999547\pi\) | |||||||
\(614\) | −3.23053 | − | 12.0565i | −0.130373 | − | 0.486560i | ||||
\(615\) | 5.90648 | + | 4.78034i | 0.238172 | + | 0.192762i | ||||
\(616\) | 98.8645 | + | 26.4907i | 3.98337 | + | 1.06734i | ||||
\(617\) | −1.30752 | + | 0.350348i | −0.0526386 | + | 0.0141045i | −0.285042 | − | 0.958515i | \(-0.592008\pi\) |
0.232404 | + | 0.972619i | \(0.425341\pi\) | |||||||
\(618\) | −2.66722 | − | 2.66722i | −0.107291 | − | 0.107291i | ||||
\(619\) | 14.4754 | 0.581817 | 0.290908 | − | 0.956751i | \(-0.406043\pi\) | ||||
0.290908 | + | 0.956751i | \(0.406043\pi\) | |||||||
\(620\) | 5.24645 | + | 13.6565i | 0.210703 | + | 0.548457i | ||||
\(621\) | 5.68021 | − | 5.68021i | 0.227939 | − | 0.227939i | ||||
\(622\) | −6.02246 | + | 22.4761i | −0.241479 | + | 0.901210i | ||||
\(623\) | −13.1106 | −0.525264 | ||||||||
\(624\) | −6.17490 | + | 23.0450i | −0.247194 | + | 0.922540i | ||||
\(625\) | −20.2413 | − | 14.6728i | −0.809651 | − | 0.586912i | ||||
\(626\) | 27.8828 | + | 48.2944i | 1.11442 | + | 1.93023i | ||||
\(627\) | 3.91686 | − | 6.78420i | 0.156424 | − | 0.270935i | ||||
\(628\) | −24.9279 | + | 24.9279i | −0.994733 | + | 0.994733i | ||||
\(629\) | 12.6611 | + | 5.16584i | 0.504832 | + | 0.205975i | ||||
\(630\) | 38.3611 | − | 47.3981i | 1.52834 | − | 1.88839i | ||||
\(631\) | −10.1946 | − | 38.0467i | −0.405840 | − | 1.51462i | −0.802501 | − | 0.596651i | \(-0.796498\pi\) |
0.396660 | − | 0.917966i | \(-0.370169\pi\) | |||||||
\(632\) | 17.1052 | − | 63.8376i | 0.680410 | − | 2.53933i | ||||
\(633\) | 8.52918 | + | 2.28539i | 0.339005 | + | 0.0908360i | ||||
\(634\) | −4.40926 | − | 1.18146i | −0.175114 | − | 0.0469216i | ||||
\(635\) | −18.1014 | + | 22.3657i | −0.718334 | + | 0.887558i | ||||
\(636\) | −8.22312 | − | 14.2429i | −0.326068 | − | 0.564766i | ||||
\(637\) | −23.2041 | −0.919379 | ||||||||
\(638\) | 43.4419 | − | 11.6402i | 1.71988 | − | 0.460841i | ||||
\(639\) | − | 11.8011i | − | 0.466844i | ||||||
\(640\) | 6.30857 | + | 59.8666i | 0.249368 | + | 2.36644i | ||||
\(641\) | 20.2015 | − | 34.9900i | 0.797910 | − | 1.38202i | −0.123064 | − | 0.992399i | \(-0.539272\pi\) |
0.920975 | − | 0.389622i | \(-0.127394\pi\) | |||||||
\(642\) | 0.00305386 | + | 0.00528944i | 0.000120526 | + | 0.000208758i | ||||
\(643\) | −3.81775 | −0.150557 | −0.0752787 | − | 0.997163i | \(-0.523985\pi\) | ||||
−0.0752787 | + | 0.997163i | \(0.523985\pi\) | |||||||
\(644\) | −56.5899 | + | 15.1632i | −2.22996 | + | 0.597515i | ||||
\(645\) | −2.56555 | + | 0.985617i | −0.101018 | + | 0.0388086i | ||||
\(646\) | 32.0547 | − | 8.58902i | 1.26117 | − | 0.337930i | ||||
\(647\) | −19.1300 | + | 11.0447i | −0.752077 | + | 0.434212i | −0.826444 | − | 0.563019i | \(-0.809640\pi\) |
0.0743671 | + | 0.997231i | \(0.476306\pi\) | |||||||
\(648\) | 55.8425 | − | 32.2407i | 2.19370 | − | 1.26653i | ||||
\(649\) | −22.1006 | + | 5.92184i | −0.867524 | + | 0.232452i | ||||
\(650\) | −16.0812 | + | 49.5838i | −0.630756 | + | 1.94484i | ||||
\(651\) | 1.94731 | − | 0.521780i | 0.0763210 | − | 0.0204502i | ||||
\(652\) | −1.46986 | −0.0575640 | ||||||||
\(653\) | −5.50365 | − | 9.53260i | −0.215375 | − | 0.373040i | 0.738014 | − | 0.674786i | \(-0.235764\pi\) |
−0.953388 | + | 0.301746i | \(0.902431\pi\) | |||||||
\(654\) | 8.40473 | − | 14.5574i | 0.328651 | − | 0.569240i | ||||
\(655\) | −1.34836 | + | 1.66600i | −0.0526846 | + | 0.0650960i | ||||
\(656\) | − | 102.047i | − | 3.98428i | ||||||
\(657\) | 9.87735 | − | 2.64663i | 0.385352 | − | 0.103255i | ||||
\(658\) | −72.3404 | −2.82012 | ||||||||
\(659\) | 22.3048 | + | 38.6330i | 0.868871 | + | 1.50493i | 0.863151 | + | 0.504945i | \(0.168487\pi\) |
0.00571995 | + | 0.999984i | \(0.498179\pi\) | |||||||
\(660\) | −13.2652 | − | 10.7361i | −0.516349 | − | 0.417900i | ||||
\(661\) | 44.9005 | + | 12.0311i | 1.74643 | + | 0.467954i | 0.983858 | − | 0.178953i | \(-0.0572709\pi\) |
0.762569 | + | 0.646906i | \(0.223938\pi\) | |||||||
\(662\) | 61.3307 | + | 16.4335i | 2.38368 | + | 0.638706i | ||||
\(663\) | 1.01814 | − | 3.79976i | 0.0395414 | − | 0.147570i | ||||
\(664\) | 9.29574 | + | 34.6922i | 0.360745 | + | 1.34632i | ||||
\(665\) | 4.61453 | + | 43.7907i | 0.178944 | + | 1.69813i | ||||
\(666\) | −36.3206 | + | 28.1774i | −1.40739 | + | 1.09185i | ||||
\(667\) | −11.3557 | + | 11.3557i | −0.439695 | + | 0.439695i | ||||
\(668\) | 41.7535 | − | 72.3192i | 1.61549 | − | 2.79811i | ||||
\(669\) | 5.33823 | + | 9.24609i | 0.206388 | + | 0.357474i | ||||
\(670\) | −63.8200 | − | 10.0904i | −2.46558 | − | 0.389828i | ||||
\(671\) | 3.25312 | − | 12.1408i | 0.125585 | − | 0.468690i | ||||
\(672\) | 31.0236 | 1.19676 | ||||||||
\(673\) | −1.25550 | + | 4.68558i | −0.0483959 | + | 0.180616i | −0.985893 | − | 0.167377i | \(-0.946470\pi\) |
0.937497 | + | 0.347993i | \(0.113137\pi\) | |||||||
\(674\) | −25.1961 | + | 25.1961i | −0.970516 | + | 0.970516i | ||||
\(675\) | −11.7159 | + | 5.97750i | −0.450944 | + | 0.230074i | ||||
\(676\) | 9.85983 | 0.379224 | ||||||||
\(677\) | −10.6976 | − | 10.6976i | −0.411144 | − | 0.411144i | 0.470993 | − | 0.882137i | \(-0.343896\pi\) |
−0.882137 | + | 0.470993i | \(0.843896\pi\) | |||||||
\(678\) | 19.6840 | − | 5.27431i | 0.755960 | − | 0.202559i | ||||
\(679\) | 41.9744 | + | 11.2470i | 1.61083 | + | 0.431621i | ||||
\(680\) | −4.72619 | − | 44.8503i | −0.181241 | − | 1.71993i | ||||
\(681\) | 1.82153 | + | 6.79803i | 0.0698011 | + | 0.260501i | ||||
\(682\) | 2.72376 | + | 10.1652i | 0.104298 | + | 0.389246i | ||||
\(683\) | 20.1030 | + | 11.6065i | 0.769219 | + | 0.444109i | 0.832596 | − | 0.553881i | \(-0.186854\pi\) |
−0.0633770 | + | 0.997990i | \(0.520187\pi\) | |||||||
\(684\) | −20.9810 | + | 78.3023i | −0.802230 | + | 2.99396i | ||||
\(685\) | −4.60532 | − | 0.728137i | −0.175960 | − | 0.0278207i | ||||
\(686\) | −2.47432 | − | 9.23431i | −0.0944702 | − | 0.352567i | ||||
\(687\) | 10.3051 | − | 2.76124i | 0.393164 | − | 0.105348i | ||||
\(688\) | 31.9650 | + | 18.4550i | 1.21865 | + | 0.703590i | ||||
\(689\) | −18.5678 | + | 18.5678i | −0.707377 | + | 0.707377i | ||||
\(690\) | 8.28310 | + | 1.30962i | 0.315332 | + | 0.0498565i | ||||
\(691\) | −14.3783 | − | 8.30129i | −0.546975 | − | 0.315796i | 0.200926 | − | 0.979606i | \(-0.435605\pi\) |
−0.747901 | + | 0.663810i | \(0.768938\pi\) | |||||||
\(692\) | 38.5812 | − | 38.5812i | 1.46664 | − | 1.46664i | ||||
\(693\) | 22.5381 | − | 22.5381i | 0.856152 | − | 0.856152i | ||||
\(694\) | 2.12939 | − | 3.68822i | 0.0808307 | − | 0.140003i | ||||
\(695\) | −31.3472 | + | 3.30327i | −1.18907 | + | 0.125300i | ||||
\(696\) | 18.5511 | − | 10.7105i | 0.703176 | − | 0.405979i | ||||
\(697\) | 16.8260i | 0.637329i | ||||||||
\(698\) | −0.907758 | − | 1.57228i | −0.0343591 | − | 0.0595118i | ||||
\(699\) | −6.93213 | + | 4.00227i | −0.262197 | + | 0.151380i | ||||
\(700\) | 95.7957 | + | 4.96861i | 3.62074 | + | 0.187796i | ||||
\(701\) | 3.46310 | − | 0.927936i | 0.130800 | − | 0.0350476i | −0.192825 | − | 0.981233i | \(-0.561765\pi\) |
0.323625 | + | 0.946185i | \(0.395098\pi\) | |||||||
\(702\) | 19.3917 | + | 19.3917i | 0.731893 | + | 0.731893i | ||||
\(703\) | 4.15812 | − | 32.9342i | 0.156826 | − | 1.24214i | ||||
\(704\) | 75.7344i | 2.85435i | ||||||||
\(705\) | 6.87464 | + | 3.05857i | 0.258914 | + | 0.115192i | ||||
\(706\) | 2.36728 | − | 1.36675i | 0.0890937 | − | 0.0514382i | ||||
\(707\) | 8.20966 | − | 30.6389i | 0.308756 | − | 1.15229i | ||||
\(708\) | −15.1286 | + | 8.73449i | −0.568567 | + | 0.328262i | ||||
\(709\) | 28.0981 | − | 28.0981i | 1.05525 | − | 1.05525i | 0.0568638 | − | 0.998382i | \(-0.481890\pi\) |
0.998382 | − | 0.0568638i | \(-0.0181101\pi\) | |||||||
\(710\) | 20.6649 | − | 15.0224i | 0.775539 | − | 0.563782i | ||||
\(711\) | −14.5531 | − | 14.5531i | −0.545782 | − | 0.545782i | ||||
\(712\) | −8.43672 | − | 31.4863i | −0.316179 | − | 1.18000i | ||||
\(713\) | −2.65719 | − | 2.65719i | −0.0995124 | − | 0.0995124i | ||||
\(714\) | −9.96223 | −0.372827 | ||||||||
\(715\) | −11.0758 | + | 24.8948i | −0.414213 | + | 0.931013i | ||||
\(716\) | 15.8964 | − | 59.3263i | 0.594078 | − | 2.21713i | ||||
\(717\) | 0.906923i | 0.0338697i | ||||||||
\(718\) | −2.27452 | + | 3.93959i | −0.0848844 | + | 0.147024i | ||||
\(719\) | 41.2289 | + | 23.8035i | 1.53758 | + | 0.887721i | 0.998980 | + | 0.0451572i | \(0.0143789\pi\) |
0.538597 | + | 0.842563i | \(0.318954\pi\) | |||||||
\(720\) | 77.8221 | + | 34.6235i | 2.90026 | + | 1.29034i | ||||
\(721\) | 10.7053 | + | 2.86847i | 0.398685 | + | 0.106827i | ||||
\(722\) | −14.5830 | − | 25.2585i | −0.542722 | − | 0.940022i | ||||
\(723\) | 1.95694 | − | 3.38951i | 0.0727792 | − | 0.126057i | ||||
\(724\) | 32.5986 | − | 56.4625i | 1.21152 | − | 2.09841i | ||||
\(725\) | 23.4221 | − | 11.9501i | 0.869873 | − | 0.443814i | ||||
\(726\) | 0.871889 | + | 0.871889i | 0.0323588 | + | 0.0323588i | ||||
\(727\) | −5.30646 | + | 3.06368i | −0.196806 | + | 0.113626i | −0.595165 | − | 0.803604i | \(-0.702913\pi\) |
0.398359 | + | 0.917230i | \(0.369580\pi\) | |||||||
\(728\) | −32.2931 | − | 120.519i | −1.19686 | − | 4.46674i | ||||
\(729\) | − | 16.4974i | − | 0.611014i | ||||||
\(730\) | 17.2081 | + | 13.9271i | 0.636899 | + | 0.515466i | ||||
\(731\) | −5.27051 | − | 3.04293i | −0.194937 | − | 0.112547i | ||||
\(732\) | − | 9.59645i | − | 0.354695i | ||||||
\(733\) | 16.2128 | + | 4.34421i | 0.598834 | + | 0.160457i | 0.545487 | − | 0.838119i | \(-0.316345\pi\) |
0.0533464 | + | 0.998576i | \(0.483011\pi\) | |||||||
\(734\) | −55.1306 | − | 55.1306i | −2.03491 | − | 2.03491i | ||||
\(735\) | 0.954525 | − | 6.03717i | 0.0352082 | − | 0.222685i | ||||
\(736\) | −28.9140 | − | 50.0805i | −1.06578 | − | 1.84599i | ||||
\(737\) | −32.6235 | − | 8.74145i | −1.20170 | − | 0.321995i | ||||
\(738\) | −48.9854 | − | 28.2817i | −1.80318 | − | 1.04106i | ||||
\(739\) | −17.3585 | −0.638544 | −0.319272 | − | 0.947663i | \(-0.603438\pi\) | ||||
−0.319272 | + | 0.947663i | \(0.603438\pi\) | |||||||
\(740\) | −69.4510 | − | 20.1516i | −2.55307 | − | 0.740786i | ||||
\(741\) | −9.54957 | −0.350812 | ||||||||
\(742\) | 57.5904 | + | 33.2499i | 2.11421 | + | 1.22064i | ||||
\(743\) | −6.80425 | − | 1.82319i | −0.249624 | − | 0.0668865i | 0.131837 | − | 0.991271i | \(-0.457912\pi\) |
−0.381461 | + | 0.924385i | \(0.624579\pi\) | |||||||
\(744\) | 2.50620 | + | 4.34087i | 0.0918818 | + | 0.159144i | ||||
\(745\) | 13.2750 | − | 9.65036i | 0.486360 | − | 0.353562i | ||||
\(746\) | 10.5441 | + | 10.5441i | 0.386048 | + | 0.386048i | ||||
\(747\) | 10.8036 | + | 2.89481i | 0.395282 | + | 0.105916i | ||||
\(748\) | − | 37.7891i | − | 1.38171i | ||||||
\(749\) | −0.0155414 | − | 0.00897285i | −0.000567871 | − | 0.000327861i | ||||
\(750\) | −12.2391 | − | 6.22364i | −0.446908 | − | 0.227255i | ||||
\(751\) | − | 20.7642i | − | 0.757695i | −0.925459 | − | 0.378847i | \(-0.876321\pi\) | ||
0.925459 | − | 0.378847i | \(-0.123679\pi\) | |||||||
\(752\) | −26.1538 | − | 97.6071i | −0.953729 | − | 3.55937i | ||||
\(753\) | 3.65977 | − | 2.11297i | 0.133369 | − | 0.0770008i | ||||
\(754\) | −38.7674 | − | 38.7674i | −1.41182 | − | 1.41182i | ||||
\(755\) | 35.4013 | + | 15.7502i | 1.28838 | + | 0.573209i | ||||
\(756\) | 25.2332 | − | 43.7052i | 0.917724 | − | 1.58954i | ||||
\(757\) | 11.7563 | − | 20.3625i | 0.427289 | − | 0.740086i | −0.569342 | − | 0.822101i | \(-0.692802\pi\) |
0.996631 | + | 0.0820143i | \(0.0261353\pi\) | |||||||
\(758\) | 26.1936 | + | 45.3686i | 0.951393 | + | 1.64786i | ||||
\(759\) | 4.23416 | + | 1.13454i | 0.153690 | + | 0.0411812i | ||||
\(760\) | −102.198 | + | 39.2617i | −3.70710 | + | 1.42417i | ||||
\(761\) | 27.4741 | + | 15.8622i | 0.995936 | + | 0.575004i | 0.907043 | − | 0.421037i | \(-0.138334\pi\) |
0.0888926 | + | 0.996041i | \(0.471667\pi\) | |||||||
\(762\) | −7.90141 | + | 13.6856i | −0.286238 | + | 0.495779i | ||||
\(763\) | 49.3895i | 1.78802i | ||||||||
\(764\) | 30.6082 | − | 114.232i | 1.10737 | − | 4.13275i | ||||
\(765\) | −12.8316 | − | 5.70886i | −0.463928 | − | 0.206404i | ||||
\(766\) | 96.3322 | 3.48062 | ||||||||
\(767\) | 19.7225 | + | 19.7225i | 0.712137 | + | 0.712137i | ||||
\(768\) | 2.92747 | + | 10.9255i | 0.105636 | + | 0.394238i | ||||
\(769\) | 5.59136 | + | 5.59136i | 0.201630 | + | 0.201630i | 0.800698 | − | 0.599068i | \(-0.204462\pi\) |
−0.599068 | + | 0.800698i | \(0.704462\pi\) | |||||||
\(770\) | 68.1568 | + | 10.7761i | 2.45620 | + | 0.388345i | ||||
\(771\) | −5.97297 | + | 5.97297i | −0.215111 | + | 0.215111i | ||||
\(772\) | −73.0609 | + | 42.1817i | −2.62952 | + | 1.51815i | ||||
\(773\) | −7.04067 | + | 26.2761i | −0.253235 | + | 0.945087i | 0.715828 | + | 0.698276i | \(0.246049\pi\) |
−0.969064 | + | 0.246811i | \(0.920617\pi\) | |||||||
\(774\) | 17.7178 | − | 10.2294i | 0.636852 | − | 0.367686i | ||||
\(775\) | 2.79626 | + | 5.48066i | 0.100445 | + | 0.196871i | ||||
\(776\) | 108.043i | 3.87851i | ||||||||
\(777\) | −3.76462 | + | 9.22685i | −0.135055 | + | 0.331011i | ||||
\(778\) | −42.4645 | − | 42.4645i | −1.52243 | − | 1.52243i | ||||
\(779\) | 39.4544 | − | 10.5718i | 1.41360 | − | 0.378773i | ||||
\(780\) | −3.24882 | + | 20.5481i | −0.116326 | + | 0.735741i | ||||
\(781\) | 11.5654 | − | 6.67727i | 0.413842 | − | 0.238932i | ||||
\(782\) | 9.28481 | + | 16.0818i | 0.332024 | + | 0.575082i | ||||
\(783\) | − | 13.8337i | − | 0.494375i | ||||||
\(784\) | −71.0880 | + | 41.0426i | −2.53886 | + | 1.46581i | ||||
\(785\) | −9.32757 | + | 11.5249i | −0.332915 | + | 0.411343i | ||||
\(786\) | −0.588567 | + | 1.01943i | −0.0209935 | + | 0.0363618i | ||||
\(787\) | −24.8465 | + | 24.8465i | −0.885681 | + | 0.885681i | −0.994105 | − | 0.108424i | \(-0.965420\pi\) |
0.108424 | + | 0.994105i | \(0.465420\pi\) | |||||||
\(788\) | −69.8516 | + | 69.8516i | −2.48836 | + | 2.48836i | ||||
\(789\) | −1.83792 | − | 1.06113i | −0.0654318 | − | 0.0377771i | ||||
\(790\) | 6.95824 | − | 44.0094i | 0.247563 | − | 1.56578i | ||||
\(791\) | −42.3385 | + | 42.3385i | −1.50538 | + | 1.50538i | ||||
\(792\) | 68.6307 | + | 39.6240i | 2.43869 | + | 1.40798i | ||||
\(793\) | −14.8001 | + | 3.96566i | −0.525565 | + | 0.140825i | ||||
\(794\) | 11.0477 | + | 41.2306i | 0.392069 | + | 1.46322i | ||||
\(795\) | −4.06711 | − | 5.59473i | −0.144246 | − | 0.198425i | ||||
\(796\) | −22.6566 | + | 84.5555i | −0.803041 | + | 2.99699i | ||||
\(797\) | 30.3755 | + | 17.5373i | 1.07596 | + | 0.621203i | 0.929803 | − | 0.368059i | \(-0.119977\pi\) |
0.146153 | + | 0.989262i | \(0.453311\pi\) | |||||||
\(798\) | 6.25928 | + | 23.3600i | 0.221576 | + | 0.826934i | ||||
\(799\) | 4.31234 | + | 16.0939i | 0.152559 | + | 0.569360i | ||||
\(800\) | 19.7357 | + | 92.6034i | 0.697762 | + | 3.27403i | ||||
\(801\) | −9.80521 | − | 2.62730i | −0.346450 | − | 0.0928310i | ||||
\(802\) | −22.5257 | + | 6.03575i | −0.795410 | + | 0.213130i | ||||
\(803\) | 8.18255 | + | 8.18255i | 0.288756 | + | 0.288756i | ||||
\(804\) | −25.7866 | −0.909424 | ||||||||
\(805\) | −23.0007 | + | 8.83628i | −0.810670 | + | 0.311438i | ||||
\(806\) | 9.07139 | − | 9.07139i | 0.319526 | − | 0.319526i | ||||
\(807\) | 1.18769 | − | 4.43252i | 0.0418087 | − | 0.156032i | ||||
\(808\) | 78.8649 | 2.77446 | ||||||||
\(809\) | −6.95578 | + | 25.9593i | −0.244552 | + | 0.912681i | 0.729056 | + | 0.684454i | \(0.239959\pi\) |
−0.973608 | + | 0.228227i | \(0.926707\pi\) | |||||||
\(810\) | 35.1626 | − | 25.5616i | 1.23549 | − | 0.898144i | ||||
\(811\) | −8.23927 | − | 14.2708i | −0.289320 | − | 0.501117i | 0.684328 | − | 0.729175i | \(-0.260096\pi\) |
−0.973648 | + | 0.228058i | \(0.926762\pi\) | |||||||
\(812\) | −50.4456 | + | 87.3743i | −1.77029 | + | 3.06624i | ||||
\(813\) | −2.29303 | + | 2.29303i | −0.0804202 | + | 0.0804202i | ||||
\(814\) | −48.1654 | − | 19.6519i | −1.68820 | − | 0.688797i | ||||
\(815\) | −0.614776 | + | 0.0647832i | −0.0215346 | + | 0.00226926i | ||||
\(816\) | −3.60172 | − | 13.4418i | −0.126085 | − | 0.470557i | ||||
\(817\) | −3.82376 | + | 14.2705i | −0.133776 | + | 0.499260i | ||||
\(818\) | −95.8032 | − | 25.6704i | −3.34968 | − | 0.897544i | ||||
\(819\) | −37.5312 | − | 10.0565i | −1.31145 | − | 0.351401i | ||||
\(820\) | −9.32502 | − | 88.4919i | −0.325644 | − | 3.09027i | ||||
\(821\) | 9.35787 | + | 16.2083i | 0.326592 | + | 0.565674i | 0.981833 | − | 0.189746i | \(-0.0607664\pi\) |
−0.655241 | + | 0.755420i | \(0.727433\pi\) | |||||||
\(822\) | −2.56076 | −0.0893169 | ||||||||
\(823\) | 8.55712 | − | 2.29287i | 0.298282 | − | 0.0799245i | −0.106574 | − | 0.994305i | \(-0.533988\pi\) |
0.404856 | + | 0.914380i | \(0.367321\pi\) | |||||||
\(824\) | 27.5556i | 0.959944i | ||||||||
\(825\) | −6.02145 | − | 3.90576i | −0.209640 | − | 0.135981i | ||||
\(826\) | 35.3176 | − | 61.1718i | 1.22886 | − | 2.12844i | ||||
\(827\) | 9.25639 | + | 16.0325i | 0.321876 | + | 0.557506i | 0.980875 | − | 0.194638i | \(-0.0623531\pi\) |
−0.658999 | + | 0.752144i | \(0.729020\pi\) | |||||||
\(828\) | −45.3614 | −1.57642 | ||||||||
\(829\) | 35.4844 | − | 9.50802i | 1.23242 | − | 0.330227i | 0.416902 | − | 0.908952i | \(-0.363116\pi\) |
0.815523 | + | 0.578724i | \(0.196449\pi\) | |||||||
\(830\) | 8.68353 | + | 22.6031i | 0.301410 | + | 0.784566i | ||||
\(831\) | 1.77422 | − | 0.475400i | 0.0615469 | − | 0.0164914i | ||||
\(832\) | 79.9540 | − | 46.1614i | 2.77191 | − | 1.60036i | ||||
\(833\) | 11.7213 | − | 6.76728i | 0.406118 | − | 0.234472i | ||||
\(834\) | −16.7220 | + | 4.48066i | −0.579037 | + | 0.155152i | ||||
\(835\) | 14.2762 | − | 32.0882i | 0.494049 | − | 1.11046i | ||||
\(836\) | −88.6098 | + | 23.7429i | −3.06463 | + | 0.821166i | ||||
\(837\) | 3.23702 | 0.111888 | ||||||||
\(838\) | 51.8852 | + | 89.8678i | 1.79234 | + | 3.10443i | ||||
\(839\) | 6.04188 | − | 10.4648i | 0.208589 | − | 0.361286i | −0.742681 | − | 0.669645i | \(-0.766446\pi\) |
0.951270 | + | 0.308359i | \(0.0997797\pi\) | |||||||
\(840\) | 32.6848 | − | 3.44423i | 1.12773 | − | 0.118837i | ||||
\(841\) | − | 1.34413i | − | 0.0463493i | ||||||
\(842\) | −99.4134 | + | 26.6377i | −3.42601 | + | 0.917997i | ||||
\(843\) | −5.31936 | −0.183209 | ||||||||
\(844\) | −51.7016 | − | 89.5498i | −1.77964 | − | 3.08243i | ||||
\(845\) | 4.12393 | − | 0.434567i | 0.141867 | − | 0.0149496i | ||||
\(846\) | −54.1023 | − | 14.4967i | −1.86008 | − | 0.498406i | ||||
\(847\) | −3.49946 | − | 0.937677i | −0.120243 | − | 0.0322190i | ||||
\(848\) | −24.0421 | + | 89.7264i | −0.825610 | + | 3.08122i | ||||
\(849\) | 0.414715 | + | 1.54774i | 0.0142330 | + | 0.0531182i | ||||
\(850\) | −6.33749 | − | 29.7366i | −0.217374 | − | 1.01996i | ||||
\(851\) | 18.4033 | − | 2.52230i | 0.630857 | − | 0.0864635i | ||||
\(852\) | 7.20977 | − | 7.20977i | 0.247003 | − | 0.247003i | ||||
\(853\) | −1.53510 | + | 2.65888i | −0.0525609 | + | 0.0910382i | −0.891109 | − | 0.453790i | \(-0.850072\pi\) |
0.838548 | + | 0.544828i | \(0.183405\pi\) | |||||||
\(854\) | 19.4014 | + | 33.6043i | 0.663903 | + | 1.14991i | ||||
\(855\) | −5.32430 | + | 33.6751i | −0.182087 | + | 1.15167i | ||||
\(856\) | 0.0115481 | − | 0.0430982i | 0.000394707 | − | 0.00147307i | ||||
\(857\) | 18.3181 | 0.625733 | 0.312867 | − | 0.949797i | \(-0.398711\pi\) | ||||
0.312867 | + | 0.949797i | \(0.398711\pi\) | |||||||
\(858\) | −3.87321 | + | 14.4550i | −0.132229 | + | 0.493486i | ||||
\(859\) | 30.8670 | − | 30.8670i | 1.05317 | − | 1.05317i | 0.0546647 | − | 0.998505i | \(-0.482591\pi\) |
0.998505 | − | 0.0546647i | \(-0.0174090\pi\) | |||||||
\(860\) | 29.4053 | + | 13.0826i | 1.00271 | + | 0.446113i | ||||
\(861\) | −12.2620 | −0.417887 | ||||||||
\(862\) | 22.9728 | + | 22.9728i | 0.782458 | + | 0.782458i | ||||
\(863\) | −24.9478 | + | 6.68473i | −0.849231 | + | 0.227551i | −0.657086 | − | 0.753816i | \(-0.728211\pi\) |
−0.192145 | + | 0.981366i | \(0.561545\pi\) | |||||||
\(864\) | 48.1160 | + | 12.8926i | 1.63694 | + | 0.438617i | ||||
\(865\) | 14.4363 | − | 17.8372i | 0.490851 | − | 0.606484i | ||||
\(866\) | 16.2998 | + | 60.8316i | 0.553889 | + | 2.06714i | ||||
\(867\) | −1.40379 | − | 5.23901i | −0.0476751 | − | 0.177926i | ||||
\(868\) | −20.4452 | − | 11.8041i | −0.693956 | − | 0.400656i | ||||
\(869\) | 6.02799 | − | 22.4968i | 0.204485 | − | 0.763150i | ||||
\(870\) | 11.6811 | − | 8.49165i | 0.396027 | − | 0.287894i | ||||
\(871\) | 10.6561 | + | 39.7692i | 0.361069 | + | 1.34753i | ||||
\(872\) | −118.613 | + | 31.7824i | −4.01676 | + | 1.07629i | ||||
\(873\) | 29.1382 | + | 16.8229i | 0.986178 | + | 0.569370i | ||||
\(874\) | 31.8757 | − | 31.8757i | 1.07821 | − | 1.07821i | ||||
\(875\) | 40.2861 | − | 2.14400i | 1.36192 | − | 0.0724805i | ||||
\(876\) | 7.65141 | + | 4.41755i | 0.258517 | + | 0.149255i | ||||
\(877\) | −22.3274 | + | 22.3274i | −0.753941 | + | 0.753941i | −0.975212 | − | 0.221271i | \(-0.928979\pi\) |
0.221271 | + | 0.975212i | \(0.428979\pi\) | |||||||
\(878\) | −23.2401 | + | 23.2401i | −0.784315 | + | 0.784315i | ||||
\(879\) | −6.28576 | + | 10.8873i | −0.212013 | + | 0.367218i | ||||
\(880\) | 10.1013 | + | 95.8583i | 0.340513 | + | 3.23138i | ||||
\(881\) | 2.24979 | − | 1.29892i | 0.0757974 | − | 0.0437616i | −0.461622 | − | 0.887077i | \(-0.652732\pi\) |
0.537420 | + | 0.843315i | \(0.319399\pi\) | |||||||
\(882\) | 45.4988i | 1.53202i | ||||||||
\(883\) | 7.28736 | + | 12.6221i | 0.245239 | + | 0.424767i | 0.962199 | − | 0.272348i | \(-0.0878001\pi\) |
−0.716960 | + | 0.697115i | \(0.754467\pi\) | |||||||
\(884\) | −39.8945 | + | 23.0331i | −1.34180 | + | 0.774687i | ||||
\(885\) | −5.94265 | + | 4.32004i | −0.199760 | + | 0.145216i | ||||
\(886\) | 31.8110 | − | 8.52373i | 1.06871 | − | 0.286360i | ||||
\(887\) | −35.5640 | − | 35.5640i | −1.19412 | − | 1.19412i | −0.975899 | − | 0.218222i | \(-0.929974\pi\) |
−0.218222 | − | 0.975899i | \(-0.570026\pi\) | |||||||
\(888\) | −24.5817 | − | 3.10357i | −0.824907 | − | 0.104149i | ||||
\(889\) | − | 46.4318i | − | 1.55727i | ||||||
\(890\) | −7.88108 | − | 20.5144i | −0.264174 | − | 0.687643i | ||||
\(891\) | 19.6792 | − | 11.3618i | 0.659279 | − | 0.380635i | ||||
\(892\) | 32.3589 | − | 120.765i | 1.08346 | − | 4.04351i | ||||
\(893\) | 35.0283 | − | 20.2236i | 1.17218 | − | 0.676756i | ||||
\(894\) | 6.37378 | − | 6.37378i | 0.213171 | − | 0.213171i | ||||
\(895\) | 4.03400 | − | 25.5142i | 0.134842 | − | 0.852846i | ||||
\(896\) | −68.6906 | − | 68.6906i | −2.29479 | − | 2.29479i | ||||
\(897\) | −1.38304 | − | 5.16159i | −0.0461785 | − | 0.172340i | ||||
\(898\) | 73.0155 | + | 73.0155i | 2.43656 | + | 2.43656i | ||||
\(899\) | −6.47135 | −0.215832 | ||||||||
\(900\) | 70.6485 | + | 22.9130i | 2.35495 | + | 0.763765i | ||||
\(901\) | 3.96416 | − | 14.7945i | 0.132065 | − | 0.492875i | ||||
\(902\) | − | 64.0093i | − | 2.13128i | ||||||
\(903\) | 2.21755 | − | 3.84091i | 0.0737954 | − | 0.127817i | ||||
\(904\) | −128.925 | − | 74.4348i | −4.28797 | − | 2.47566i | ||||
\(905\) | 11.1460 | − | 25.0525i | 0.370506 | − | 0.832774i | ||||
\(906\) | 20.5555 | + | 5.50784i | 0.682912 | + | 0.182986i | ||||
\(907\) | −5.40329 | − | 9.35876i | −0.179413 | − | 0.310753i | 0.762267 | − | 0.647263i | \(-0.224087\pi\) |
−0.941680 | + | 0.336511i | \(0.890753\pi\) | |||||||
\(908\) | 41.2078 | − | 71.3740i | 1.36753 | − | 2.36863i | ||||
\(909\) | 12.2798 | − | 21.2692i | 0.407294 | − | 0.705454i | ||||
\(910\) | −30.1662 | − | 78.5224i | −1.00000 | − | 2.60299i | ||||
\(911\) | 21.9566 | + | 21.9566i | 0.727453 | + | 0.727453i | 0.970112 | − | 0.242659i | \(-0.0780195\pi\) |
−0.242659 | + | 0.970112i | \(0.578019\pi\) | |||||||
\(912\) | −29.2561 | + | 16.8910i | −0.968765 | + | 0.559317i | ||||
\(913\) | 3.27587 | + | 12.2257i | 0.108416 | + | 0.404613i | ||||
\(914\) | 97.2419i | 3.21648i | ||||||||
\(915\) | −0.422959 | − | 4.01377i | −0.0139826 | − | 0.132691i | ||||
\(916\) | −108.195 | − | 62.4667i | −3.57488 | − | 2.06396i | ||||
\(917\) | − | 3.45865i | − | 0.114215i | ||||||
\(918\) | −15.4509 | − | 4.14006i | −0.509956 | − | 0.136642i | ||||
\(919\) | −2.96366 | − | 2.96366i | −0.0977622 | − | 0.0977622i | 0.656534 | − | 0.754296i | \(-0.272022\pi\) |
−0.754296 | + | 0.656534i | \(0.772022\pi\) | |||||||
\(920\) | −36.0222 | − | 49.5522i | −1.18762 | − | 1.63369i | ||||
\(921\) | −1.04752 | − | 1.81436i | −0.0345170 | − | 0.0597852i | ||||
\(922\) | 48.4221 | + | 12.9747i | 1.59470 | + | 0.427298i | ||||
\(923\) | −14.0986 | − | 8.13983i | −0.464061 | − | 0.267926i | ||||
\(924\) | 27.5389 | 0.905964 | ||||||||
\(925\) | −29.9364 | − | 5.36749i | −0.984304 | − | 0.176482i | ||||
\(926\) | −62.3544 | −2.04909 | ||||||||
\(927\) | 7.43149 | + | 4.29057i | 0.244082 | + | 0.140921i | ||||
\(928\) | −96.1922 | − | 25.7746i | −3.15766 | − | 0.846094i | ||||
\(929\) | −4.27364 | − | 7.40216i | −0.140214 | − | 0.242857i | 0.787363 | − | 0.616489i | \(-0.211446\pi\) |
−0.927577 | + | 0.373632i | \(0.878112\pi\) | |||||||
\(930\) | 1.98701 | + | 2.73333i | 0.0651566 | + | 0.0896295i | ||||
\(931\) | −23.2327 | − | 23.2327i | −0.761423 | − | 0.761423i | ||||
\(932\) | 90.5421 | + | 24.2607i | 2.96580 | + | 0.794685i | ||||
\(933\) | 3.90565i | 0.127865i | ||||||||
\(934\) | 4.27706 | + | 2.46936i | 0.139950 | + | 0.0807999i | ||||
\(935\) | −1.66554 | − | 15.8055i | −0.0544689 | − | 0.516895i | ||||
\(936\) | − | 96.6060i | − | 3.15767i | ||||||
\(937\) | −0.802893 | − | 2.99644i | −0.0262294 | − | 0.0978893i | 0.951570 | − | 0.307431i | \(-0.0994694\pi\) |
−0.977800 | + | 0.209542i | \(0.932803\pi\) | |||||||
\(938\) | 90.2980 | − | 52.1336i | 2.94833 | − | 1.70222i | ||||
\(939\) | 6.61862 | + | 6.61862i | 0.215990 | + | 0.215990i | ||||
\(940\) | −31.5989 | − | 82.2517i | −1.03064 | − | 2.68275i | ||||
\(941\) | 10.2826 | − | 17.8101i | 0.335205 | − | 0.580592i | −0.648319 | − | 0.761368i | \(-0.724528\pi\) |
0.983524 | + | 0.180777i | \(0.0578612\pi\) | |||||||
\(942\) | −4.07155 | + | 7.05213i | −0.132658 | + | 0.229771i | ||||
\(943\) | 11.4282 | + | 19.7942i | 0.372153 | + | 0.644588i | ||||
\(944\) | 95.3062 | + | 25.5372i | 3.10195 | + | 0.831166i | ||||
\(945\) | 8.62766 | − | 19.3921i | 0.280658 | − | 0.630825i | ||||
\(946\) | 20.0501 | + | 11.5759i | 0.651884 | + | 0.376365i | ||||
\(947\) | −4.37663 | + | 7.58054i | −0.142221 | + | 0.246335i | −0.928333 | − | 0.371750i | \(-0.878758\pi\) |
0.786111 | + | 0.618085i | \(0.212091\pi\) | |||||||
\(948\) | − | 17.7821i | − | 0.577536i | ||||||
\(949\) | 3.65104 | − | 13.6259i | 0.118518 | − | 0.442314i | ||||
\(950\) | −65.7461 | + | 33.5440i | −2.13309 | + | 1.08831i | ||||
\(951\) | −0.766192 | −0.0248455 | ||||||||
\(952\) | 51.4609 | + | 51.4609i | 1.66786 | + | 1.66786i | ||||
\(953\) | 0.366216 | + | 1.36674i | 0.0118629 | + | 0.0442729i | 0.971604 | − | 0.236615i | \(-0.0760379\pi\) |
−0.959741 | + | 0.280888i | \(0.909371\pi\) | |||||||
\(954\) | 36.4079 | + | 36.4079i | 1.17875 | + | 1.17875i | ||||
\(955\) | 7.76737 | − | 49.1270i | 0.251346 | − | 1.58971i | ||||
\(956\) | 7.50975 | − | 7.50975i | 0.242883 | − | 0.242883i | ||||
\(957\) | 6.53750 | − | 3.77443i | 0.211327 | − | 0.122010i | ||||
\(958\) | 5.47481 | − | 20.4323i | 0.176883 | − | 0.660137i | ||||
\(959\) | 6.51600 | − | 3.76202i | 0.210413 | − | 0.121482i | ||||
\(960\) | 8.72117 | + | 22.7011i | 0.281475 | + | 0.732675i | ||||
\(961\) | 29.4857i | 0.951153i | ||||||||
\(962\) | 8.61091 | + | 62.8271i | 0.277627 | + | 2.02563i | ||||
\(963\) | −0.00982508 | − | 0.00982508i | −0.000316609 | − | 0.000316609i | ||||
\(964\) | −44.2711 | + | 11.8624i | −1.42588 | + | 0.382062i | ||||
\(965\) | −28.6990 | + | 20.8629i | −0.923854 | + | 0.671600i | ||||
\(966\) | −11.7196 | + | 6.76634i | −0.377073 | + | 0.217703i | ||||
\(967\) | 18.7363 | + | 32.4522i | 0.602518 | + | 1.04359i | 0.992439 | + | 0.122743i | \(0.0391690\pi\) |
−0.389921 | + | 0.920848i | \(0.627498\pi\) | |||||||
\(968\) | − | 9.00766i | − | 0.289517i | ||||||
\(969\) | 4.82385 | − | 2.78505i | 0.154965 | − | 0.0894688i | ||||
\(970\) | 7.63340 | + | 72.4389i | 0.245094 | + | 2.32587i | ||||
\(971\) | 10.4841 | − | 18.1590i | 0.336451 | − | 0.582751i | −0.647311 | − | 0.762226i | \(-0.724107\pi\) |
0.983763 | + | 0.179475i | \(0.0574399\pi\) | |||||||
\(972\) | 41.9363 | − | 41.9363i | 1.34511 | − | 1.34511i | ||||
\(973\) | 35.9676 | − | 35.9676i | 1.15307 | − | 1.15307i | ||||
\(974\) | −20.7408 | − | 11.9747i | −0.664577 | − | 0.383694i | ||||
\(975\) | −0.453189 | + | 8.73756i | −0.0145137 | + | 0.279826i | ||||
\(976\) | −38.3271 | + | 38.3271i | −1.22682 | + | 1.22682i | ||||
\(977\) | −26.3533 | − | 15.2151i | −0.843117 | − | 0.486774i | 0.0152055 | − | 0.999884i | \(-0.495160\pi\) |
−0.858323 | + | 0.513111i | \(0.828493\pi\) | |||||||
\(978\) | −0.327949 | + | 0.0878738i | −0.0104867 | + | 0.00280989i | ||||
\(979\) | −2.97315 | − | 11.0959i | −0.0950222 | − | 0.354628i | ||||
\(980\) | −57.8946 | + | 42.0867i | −1.84937 | + | 1.34441i | ||||
\(981\) | −9.89742 | + | 36.9377i | −0.316000 | + | 1.17933i | ||||
\(982\) | 78.6279 | + | 45.3958i | 2.50912 | + | 1.44864i | ||||
\(983\) | 3.56317 | + | 13.2979i | 0.113648 | + | 0.424138i | 0.999182 | − | 0.0404350i | \(-0.0128744\pi\) |
−0.885535 | + | 0.464573i | \(0.846208\pi\) | |||||||
\(984\) | −7.89064 | − | 29.4483i | −0.251544 | − | 0.938777i | ||||
\(985\) | −26.1372 | + | 32.2945i | −0.832800 | + | 1.02899i | ||||
\(986\) | 30.8891 | + | 8.27670i | 0.983708 | + | 0.263584i | ||||
\(987\) | −11.7285 | + | 3.14263i | −0.373321 | + | 0.100031i | ||||
\(988\) | 79.0750 | + | 79.0750i | 2.51571 | + | 2.51571i | ||||
\(989\) | −8.26703 | −0.262876 | ||||||||
\(990\) | 48.8140 | + | 21.7176i | 1.55141 | + | 0.690231i | ||||
\(991\) | −6.06963 | + | 6.06963i | −0.192808 | + | 0.192808i | −0.796908 | − | 0.604100i | \(-0.793533\pi\) |
0.604100 | + | 0.796908i | \(0.293533\pi\) | |||||||
\(992\) | 6.03115 | − | 22.5086i | 0.191489 | − | 0.714648i | ||||
\(993\) | 10.6574 | 0.338201 | ||||||||
\(994\) | −10.6705 | + | 39.8230i | −0.338449 | + | 1.26311i | ||||
\(995\) | −5.74950 | + | 36.3644i | −0.182271 | + | 1.15283i | ||||
\(996\) | 4.83179 | + | 8.36891i | 0.153101 | + | 0.265179i | ||||
\(997\) | 19.2170 | − | 33.2848i | 0.608607 | − | 1.05414i | −0.382863 | − | 0.923805i | \(-0.625062\pi\) |
0.991470 | − | 0.130334i | \(-0.0416048\pi\) | |||||||
\(998\) | 47.8342 | − | 47.8342i | 1.51417 | − | 1.51417i | ||||
\(999\) | −9.67320 | + | 12.7459i | −0.306046 | + | 0.403262i |
(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 | 185.2.u.a.23.1 | yes | 68 | |
5.2 | odd | 4 | 185.2.p.a.97.17 | ✓ | 68 | ||
5.3 | odd | 4 | 925.2.t.b.282.1 | 68 | |||
5.4 | even | 2 | 925.2.y.b.393.17 | 68 | |||
37.29 | odd | 12 | 185.2.p.a.103.17 | yes | 68 | ||
185.29 | odd | 12 | 925.2.t.b.843.1 | 68 | |||
185.103 | even | 12 | 925.2.y.b.732.17 | 68 | |||
185.177 | even | 12 | inner | 185.2.u.a.177.1 | yes | 68 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
185.2.p.a.97.17 | ✓ | 68 | 5.2 | odd | 4 | ||
185.2.p.a.103.17 | yes | 68 | 37.29 | odd | 12 | ||
185.2.u.a.23.1 | yes | 68 | 1.1 | even | 1 | trivial | |
185.2.u.a.177.1 | yes | 68 | 185.177 | even | 12 | inner | |
925.2.t.b.282.1 | 68 | 5.3 | odd | 4 | |||
925.2.t.b.843.1 | 68 | 185.29 | odd | 12 | |||
925.2.y.b.393.17 | 68 | 5.4 | even | 2 | |||
925.2.y.b.732.17 | 68 | 185.103 | even | 12 |