Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [429,2,Mod(7,429)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(429, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([0, 42, 55]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("429.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 429 = 3 \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 429.bs (of order \(60\), degree \(16\), 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: | \(3.42558224671\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 7.6 | ||
Character | \(\chi\) | \(=\) | 429.7 |
Dual form | 429.2.bs.b.184.6 |
$q$-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 \(\left(\mathbb{Z}/429\mathbb{Z}\right)^\times\).
\(n\) | \(67\) | \(79\) | \(287\) |
\(\chi(n)\) | \(e\left(\frac{11}{12}\right)\) | \(e\left(\frac{7}{10}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.215576 | + | 0.561596i | −0.152436 | + | 0.397108i | −0.988440 | − | 0.151615i | \(-0.951553\pi\) |
0.836004 | + | 0.548723i | \(0.184886\pi\) | |||||||
\(3\) | 0.669131 | + | 0.743145i | 0.386323 | + | 0.429055i | ||||
\(4\) | 1.21737 | + | 1.09613i | 0.608686 | + | 0.548064i | ||||
\(5\) | 0.0568875 | + | 0.00901009i | 0.0254409 | + | 0.00402944i | 0.169142 | − | 0.985592i | \(-0.445900\pi\) |
−0.143701 | + | 0.989621i | \(0.545900\pi\) | |||||||
\(6\) | −0.561596 | + | 0.215576i | −0.229271 | + | 0.0880087i | ||||
\(7\) | 3.00661 | − | 0.157570i | 1.13639 | − | 0.0595558i | 0.525157 | − | 0.851005i | \(-0.324007\pi\) |
0.611235 | + | 0.791450i | \(0.290673\pi\) | |||||||
\(8\) | −1.94999 | + | 0.993569i | −0.689425 | + | 0.351280i | ||||
\(9\) | −0.104528 | + | 0.994522i | −0.0348428 | + | 0.331507i | ||||
\(10\) | −0.0173236 | + | 0.0300054i | −0.00547821 | + | 0.00948855i | ||||
\(11\) | −1.02428 | + | 3.15450i | −0.308833 | + | 0.951116i | ||||
\(12\) | 1.63814i | 0.472889i | ||||||||
\(13\) | −1.39665 | − | 3.32406i | −0.387362 | − | 0.921928i | ||||
\(14\) | −0.559664 | + | 1.72247i | −0.149576 | + | 0.460349i | ||||
\(15\) | 0.0313694 | + | 0.0483046i | 0.00809953 | + | 0.0124722i | ||||
\(16\) | 0.204851 | + | 1.94903i | 0.0512128 | + | 0.487258i | ||||
\(17\) | 3.43704 | + | 1.53027i | 0.833604 | + | 0.371144i | 0.778738 | − | 0.627349i | \(-0.215860\pi\) |
0.0548661 | + | 0.998494i | \(0.482527\pi\) | |||||||
\(18\) | −0.535986 | − | 0.273098i | −0.126333 | − | 0.0643699i | ||||
\(19\) | 3.45810 | − | 5.32501i | 0.793343 | − | 1.22164i | −0.178017 | − | 0.984027i | \(-0.556968\pi\) |
0.971360 | − | 0.237614i | \(-0.0763652\pi\) | |||||||
\(20\) | 0.0593771 | + | 0.0733246i | 0.0132771 | + | 0.0163959i | ||||
\(21\) | 2.12891 | + | 2.12891i | 0.464567 | + | 0.464567i | ||||
\(22\) | −1.55074 | − | 1.25527i | −0.330619 | − | 0.267624i | ||||
\(23\) | −3.09256 | − | 1.78549i | −0.644844 | − | 0.372301i | 0.141634 | − | 0.989919i | \(-0.454764\pi\) |
−0.786478 | + | 0.617618i | \(0.788098\pi\) | |||||||
\(24\) | −2.04316 | − | 0.784297i | −0.417059 | − | 0.160094i | ||||
\(25\) | −4.75213 | − | 1.54406i | −0.950426 | − | 0.308812i | ||||
\(26\) | 2.16786 | − | 0.0677660i | 0.425153 | − | 0.0132900i | ||||
\(27\) | −0.809017 | + | 0.587785i | −0.155695 | + | 0.113119i | ||||
\(28\) | 3.83288 | + | 3.10381i | 0.724347 | + | 0.586564i | ||||
\(29\) | −0.782848 | + | 3.68301i | −0.145371 | + | 0.683918i | 0.843740 | + | 0.536751i | \(0.180349\pi\) |
−0.989112 | + | 0.147167i | \(0.952985\pi\) | |||||||
\(30\) | −0.0338901 | + | 0.00720357i | −0.00618747 | + | 0.00131519i | ||||
\(31\) | 0.379984 | + | 2.39912i | 0.0682471 | + | 0.430895i | 0.998027 | + | 0.0627802i | \(0.0199967\pi\) |
−0.929780 | + | 0.368115i | \(0.880003\pi\) | |||||||
\(32\) | −5.36663 | − | 1.43798i | −0.948695 | − | 0.254202i | ||||
\(33\) | −3.02963 | + | 1.34958i | −0.527390 | + | 0.234932i | ||||
\(34\) | −1.60034 | + | 1.60034i | −0.274455 | + | 0.274455i | ||||
\(35\) | 0.172458 | + | 0.0181261i | 0.0291508 | + | 0.00306387i | ||||
\(36\) | −1.21737 | + | 1.09613i | −0.202895 | + | 0.182688i | ||||
\(37\) | −1.22954 | + | 0.798470i | −0.202134 | + | 0.131268i | −0.641737 | − | 0.766925i | \(-0.721786\pi\) |
0.439603 | + | 0.898192i | \(0.355119\pi\) | |||||||
\(38\) | 2.24502 | + | 3.09000i | 0.364190 | + | 0.501265i | ||||
\(39\) | 1.53571 | − | 3.26214i | 0.245911 | − | 0.522361i | ||||
\(40\) | −0.119882 | + | 0.0389521i | −0.0189550 | + | 0.00615886i | ||||
\(41\) | 4.25542 | + | 0.223017i | 0.664584 | + | 0.0348294i | 0.381646 | − | 0.924309i | \(-0.375357\pi\) |
0.282939 | + | 0.959138i | \(0.408691\pi\) | |||||||
\(42\) | −1.65453 | + | 0.736645i | −0.255300 | + | 0.113667i | ||||
\(43\) | 2.92002 | + | 5.05763i | 0.445299 | + | 0.771281i | 0.998073 | − | 0.0620505i | \(-0.0197640\pi\) |
−0.552774 | + | 0.833331i | \(0.686431\pi\) | |||||||
\(44\) | −4.70466 | + | 2.71745i | −0.709255 | + | 0.409672i | ||||
\(45\) | −0.0149071 | + | 0.0556340i | −0.00222222 | + | 0.00829343i | ||||
\(46\) | 1.66941 | − | 1.35186i | 0.246141 | − | 0.199321i | ||||
\(47\) | −4.75212 | − | 9.32656i | −0.693168 | − | 1.36042i | −0.922091 | − | 0.386974i | \(-0.873520\pi\) |
0.228923 | − | 0.973445i | \(-0.426480\pi\) | |||||||
\(48\) | −1.31134 | + | 1.45639i | −0.189276 | + | 0.210212i | ||||
\(49\) | 2.05322 | − | 0.215802i | 0.293317 | − | 0.0308289i | ||||
\(50\) | 1.89158 | − | 2.33591i | 0.267510 | − | 0.330348i | ||||
\(51\) | 1.16262 | + | 3.57817i | 0.162799 | + | 0.501043i | ||||
\(52\) | 1.94334 | − | 5.57753i | 0.269493 | − | 0.773464i | ||||
\(53\) | 0.803991 | + | 0.584133i | 0.110437 | + | 0.0802369i | 0.641633 | − | 0.767012i | \(-0.278257\pi\) |
−0.531196 | + | 0.847249i | \(0.678257\pi\) | |||||||
\(54\) | −0.155693 | − | 0.581053i | −0.0211871 | − | 0.0790713i | ||||
\(55\) | −0.0866911 | + | 0.170222i | −0.0116894 | + | 0.0229528i | ||||
\(56\) | −5.70630 | + | 3.29453i | −0.762536 | + | 0.440251i | ||||
\(57\) | 6.27118 | − | 0.993257i | 0.830638 | − | 0.131560i | ||||
\(58\) | −1.89960 | − | 1.23362i | −0.249430 | − | 0.161982i | ||||
\(59\) | −0.506921 | − | 9.67264i | −0.0659955 | − | 1.25927i | −0.808124 | − | 0.589012i | \(-0.799517\pi\) |
0.742129 | − | 0.670258i | \(-0.233816\pi\) | |||||||
\(60\) | −0.0147598 | + | 0.0931895i | −0.00190548 | + | 0.0120307i | ||||
\(61\) | −0.802979 | + | 1.80352i | −0.102811 | + | 0.230917i | −0.957625 | − | 0.288017i | \(-0.907004\pi\) |
0.854814 | + | 0.518934i | \(0.173671\pi\) | |||||||
\(62\) | −1.42925 | − | 0.303797i | −0.181515 | − | 0.0385823i | ||||
\(63\) | −0.157570 | + | 3.00661i | −0.0198519 | + | 0.378797i | ||||
\(64\) | −0.339357 | + | 0.467085i | −0.0424197 | + | 0.0583857i | ||||
\(65\) | −0.0495020 | − | 0.201681i | −0.00613997 | − | 0.0250155i | ||||
\(66\) | −0.104803 | − | 1.99236i | −0.0129003 | − | 0.245243i | ||||
\(67\) | 7.34730 | − | 1.96870i | 0.897616 | − | 0.240515i | 0.219624 | − | 0.975585i | \(-0.429517\pi\) |
0.677992 | + | 0.735069i | \(0.262850\pi\) | |||||||
\(68\) | 2.50679 | + | 5.63034i | 0.303993 | + | 0.682779i | ||||
\(69\) | −0.742450 | − | 3.49295i | −0.0893805 | − | 0.420502i | ||||
\(70\) | −0.0473575 | + | 0.0929443i | −0.00566030 | + | 0.0111090i | ||||
\(71\) | 2.59348 | + | 6.75626i | 0.307790 | + | 0.801820i | 0.997010 | + | 0.0772686i | \(0.0246199\pi\) |
−0.689220 | + | 0.724552i | \(0.742047\pi\) | |||||||
\(72\) | −0.784297 | − | 2.04316i | −0.0924303 | − | 0.240789i | ||||
\(73\) | 1.86091 | − | 3.65224i | 0.217803 | − | 0.427463i | −0.756091 | − | 0.654467i | \(-0.772893\pi\) |
0.973894 | + | 0.227004i | \(0.0728931\pi\) | |||||||
\(74\) | −0.183358 | − | 0.862633i | −0.0213150 | − | 0.100279i | ||||
\(75\) | −2.03233 | − | 4.56470i | −0.234674 | − | 0.527086i | ||||
\(76\) | 10.0467 | − | 2.69200i | 1.15243 | − | 0.308794i | ||||
\(77\) | −2.58256 | + | 9.64574i | −0.294310 | + | 1.09923i | ||||
\(78\) | 1.50094 | + | 1.56569i | 0.169948 | + | 0.177280i | ||||
\(79\) | 1.42878 | − | 1.96655i | 0.160750 | − | 0.221254i | −0.721043 | − | 0.692891i | \(-0.756337\pi\) |
0.881793 | + | 0.471637i | \(0.156337\pi\) | |||||||
\(80\) | −0.00590747 | + | 0.112721i | −0.000660475 | + | 0.0126026i | ||||
\(81\) | −0.978148 | − | 0.207912i | −0.108683 | − | 0.0231013i | ||||
\(82\) | −1.04261 | + | 2.34175i | −0.115137 | + | 0.258603i | ||||
\(83\) | 1.02316 | − | 6.45999i | 0.112307 | − | 0.709076i | −0.865710 | − | 0.500547i | \(-0.833132\pi\) |
0.978016 | − | 0.208529i | \(-0.0668677\pi\) | |||||||
\(84\) | 0.258121 | + | 4.92524i | 0.0281633 | + | 0.537388i | ||||
\(85\) | 0.181737 | + | 0.118021i | 0.0197121 | + | 0.0128012i | ||||
\(86\) | −3.46983 | + | 0.549567i | −0.374161 | + | 0.0592614i | ||||
\(87\) | −3.26084 | + | 1.88265i | −0.349599 | + | 0.201841i | ||||
\(88\) | −1.13687 | − | 7.16893i | −0.121191 | − | 0.764210i | ||||
\(89\) | −3.42974 | − | 12.8000i | −0.363552 | − | 1.35679i | −0.869373 | − | 0.494156i | \(-0.835477\pi\) |
0.505822 | − | 0.862638i | \(-0.331189\pi\) | |||||||
\(90\) | −0.0280302 | − | 0.0203652i | −0.00295465 | − | 0.00214668i | ||||
\(91\) | −4.72296 | − | 9.77407i | −0.495101 | − | 1.02460i | ||||
\(92\) | −1.80768 | − | 5.56346i | −0.188463 | − | 0.580030i | ||||
\(93\) | −1.52864 | + | 1.88771i | −0.158512 | + | 0.195746i | ||||
\(94\) | 6.26220 | − | 0.658184i | 0.645897 | − | 0.0678865i | ||||
\(95\) | 0.244702 | − | 0.271769i | 0.0251059 | − | 0.0278829i | ||||
\(96\) | −2.52235 | − | 4.95038i | −0.257436 | − | 0.505246i | ||||
\(97\) | 5.18595 | − | 4.19950i | 0.526553 | − | 0.426394i | −0.328831 | − | 0.944389i | \(-0.606655\pi\) |
0.855384 | + | 0.517995i | \(0.173321\pi\) | |||||||
\(98\) | −0.321432 | + | 1.19960i | −0.0324696 | + | 0.121178i | ||||
\(99\) | −3.03015 | − | 1.34841i | −0.304541 | − | 0.135520i | ||||
\(100\) | −4.09262 | − | 7.08863i | −0.409262 | − | 0.708863i | ||||
\(101\) | 0.651254 | − | 0.289957i | 0.0648022 | − | 0.0288518i | −0.374080 | − | 0.927397i | \(-0.622041\pi\) |
0.438882 | + | 0.898545i | \(0.355375\pi\) | |||||||
\(102\) | −2.26012 | − | 0.118448i | −0.223785 | − | 0.0117281i | ||||
\(103\) | −8.06755 | + | 2.62130i | −0.794919 | + | 0.258285i | −0.678197 | − | 0.734880i | \(-0.737239\pi\) |
−0.116722 | + | 0.993165i | \(0.537239\pi\) | |||||||
\(104\) | 6.02614 | + | 5.09420i | 0.590911 | + | 0.499528i | ||||
\(105\) | 0.101927 | + | 0.140290i | 0.00994703 | + | 0.0136909i | ||||
\(106\) | −0.501368 | + | 0.325592i | −0.0486972 | + | 0.0316243i | ||||
\(107\) | −0.0956751 | + | 0.0861462i | −0.00924926 | + | 0.00832807i | −0.673742 | − | 0.738966i | \(-0.735314\pi\) |
0.664493 | + | 0.747294i | \(0.268648\pi\) | |||||||
\(108\) | −1.62916 | − | 0.171232i | −0.156766 | − | 0.0164768i | ||||
\(109\) | 6.02348 | − | 6.02348i | 0.576945 | − | 0.576945i | −0.357116 | − | 0.934060i | \(-0.616240\pi\) |
0.934060 | + | 0.357116i | \(0.116240\pi\) | |||||||
\(110\) | −0.0769077 | − | 0.0853813i | −0.00733286 | − | 0.00814079i | ||||
\(111\) | −1.41610 | − | 0.379442i | −0.134410 | − | 0.0360151i | ||||
\(112\) | 0.923016 | + | 5.82769i | 0.0872168 | + | 0.550665i | ||||
\(113\) | 3.78021 | − | 0.803508i | 0.355612 | − | 0.0755877i | −0.0266418 | − | 0.999645i | \(-0.508481\pi\) |
0.382254 | + | 0.924057i | \(0.375148\pi\) | |||||||
\(114\) | −0.794109 | + | 3.73599i | −0.0743751 | + | 0.349907i | ||||
\(115\) | −0.159841 | − | 0.129437i | −0.0149052 | − | 0.0120700i | ||||
\(116\) | −4.99007 | + | 3.62550i | −0.463316 | + | 0.336619i | ||||
\(117\) | 3.45184 | − | 1.04154i | 0.319123 | − | 0.0962907i | ||||
\(118\) | 5.54139 | + | 1.80051i | 0.510127 | + | 0.165750i | ||||
\(119\) | 10.5750 | + | 4.05935i | 0.969405 | + | 0.372120i | ||||
\(120\) | −0.109164 | − | 0.0630258i | −0.00996525 | − | 0.00575344i | ||||
\(121\) | −8.90169 | − | 6.46219i | −0.809245 | − | 0.587472i | ||||
\(122\) | −0.839746 | − | 0.839746i | −0.0760271 | − | 0.0760271i | ||||
\(123\) | 2.68170 | + | 3.31162i | 0.241800 | + | 0.298599i | ||||
\(124\) | −2.16716 | + | 3.33714i | −0.194617 | + | 0.299684i | ||||
\(125\) | −0.513019 | − | 0.261396i | −0.0458858 | − | 0.0233800i | ||||
\(126\) | −1.65453 | − | 0.736645i | −0.147397 | − | 0.0656255i | ||||
\(127\) | −1.71513 | − | 16.3184i | −0.152193 | − | 1.44802i | −0.757919 | − | 0.652349i | \(-0.773784\pi\) |
0.605726 | − | 0.795674i | \(-0.292883\pi\) | |||||||
\(128\) | −6.24113 | − | 9.61049i | −0.551643 | − | 0.849455i | ||||
\(129\) | −1.80467 | + | 5.55421i | −0.158893 | + | 0.489021i | ||||
\(130\) | 0.123935 | + | 0.0156776i | 0.0108698 | + | 0.00137502i | ||||
\(131\) | − | 14.8048i | − | 1.29350i | −0.762702 | − | 0.646750i | \(-0.776128\pi\) | ||
0.762702 | − | 0.646750i | \(-0.223872\pi\) | |||||||
\(132\) | −5.16750 | − | 1.67791i | −0.449773 | − | 0.146044i | ||||
\(133\) | 9.55810 | − | 16.5551i | 0.828793 | − | 1.43551i | ||||
\(134\) | −0.478289 | + | 4.55062i | −0.0413179 | + | 0.393114i | ||||
\(135\) | −0.0513189 | + | 0.0261483i | −0.00441683 | + | 0.00225049i | ||||
\(136\) | −8.22261 | + | 0.430929i | −0.705083 | + | 0.0369518i | ||||
\(137\) | 2.43252 | − | 0.933756i | 0.207824 | − | 0.0797762i | −0.252229 | − | 0.967668i | \(-0.581164\pi\) |
0.460053 | + | 0.887891i | \(0.347830\pi\) | |||||||
\(138\) | 2.12168 | + | 0.336041i | 0.180610 | + | 0.0286057i | ||||
\(139\) | 12.8465 | + | 11.5670i | 1.08962 | + | 0.981102i | 0.999890 | − | 0.0148639i | \(-0.00473150\pi\) |
0.0897344 | + | 0.995966i | \(0.471398\pi\) | |||||||
\(140\) | 0.190077 | + | 0.211102i | 0.0160645 | + | 0.0178414i | ||||
\(141\) | 3.75120 | − | 9.77220i | 0.315908 | − | 0.822968i | ||||
\(142\) | −4.35338 | −0.365328 | ||||||||
\(143\) | 11.9163 | − | 1.00096i | 0.996491 | − | 0.0837049i | ||||
\(144\) | −1.95977 | −0.163314 | ||||||||
\(145\) | −0.0777185 | + | 0.202464i | −0.00645417 | + | 0.0168137i | ||||
\(146\) | 1.64992 | + | 1.83242i | 0.136548 | + | 0.151652i | ||||
\(147\) | 1.53425 | + | 1.38144i | 0.126542 | + | 0.113939i | ||||
\(148\) | −2.37203 | − | 0.375692i | −0.194979 | − | 0.0308817i | ||||
\(149\) | 7.49924 | − | 2.87869i | 0.614361 | − | 0.235831i | −0.0312325 | − | 0.999512i | \(-0.509943\pi\) |
0.645594 | + | 0.763681i | \(0.276610\pi\) | |||||||
\(150\) | 3.00164 | − | 0.157309i | 0.245083 | − | 0.0128442i | ||||
\(151\) | −20.6384 | + | 10.5158i | −1.67953 | + | 0.855761i | −0.688021 | + | 0.725691i | \(0.741520\pi\) |
−0.991505 | + | 0.130070i | \(0.958480\pi\) | |||||||
\(152\) | −1.45250 | + | 13.8196i | −0.117813 | + | 1.12092i | ||||
\(153\) | −1.88115 | + | 3.25825i | −0.152082 | + | 0.263414i | ||||
\(154\) | −4.86027 | − | 3.52975i | −0.391651 | − | 0.284435i | ||||
\(155\) | 0.139904i | 0.0112373i | ||||||||
\(156\) | 5.44526 | − | 2.28791i | 0.435970 | − | 0.183179i | ||||
\(157\) | −4.16105 | + | 12.8064i | −0.332088 | + | 1.02206i | 0.636051 | + | 0.771647i | \(0.280567\pi\) |
−0.968139 | + | 0.250415i | \(0.919433\pi\) | |||||||
\(158\) | 0.796393 | + | 1.22634i | 0.0633576 | + | 0.0975622i | ||||
\(159\) | 0.103879 | + | 0.988343i | 0.00823814 | + | 0.0783807i | ||||
\(160\) | −0.292338 | − | 0.130157i | −0.0231113 | − | 0.0102898i | ||||
\(161\) | −9.57948 | − | 4.88099i | −0.754968 | − | 0.384676i | ||||
\(162\) | 0.327628 | − | 0.504503i | 0.0257409 | − | 0.0396375i | ||||
\(163\) | 3.21507 | + | 3.97028i | 0.251824 | + | 0.310976i | 0.887344 | − | 0.461108i | \(-0.152548\pi\) |
−0.635521 | + | 0.772084i | \(0.719214\pi\) | |||||||
\(164\) | 4.93597 | + | 4.93597i | 0.385435 | + | 0.385435i | ||||
\(165\) | −0.184508 | + | 0.0494770i | −0.0143639 | + | 0.00385178i | ||||
\(166\) | 3.40733 | + | 1.96723i | 0.264460 | + | 0.152686i | ||||
\(167\) | 0.938716 | + | 0.360339i | 0.0726400 | + | 0.0278839i | 0.394417 | − | 0.918932i | \(-0.370947\pi\) |
−0.321777 | + | 0.946816i | \(0.604280\pi\) | |||||||
\(168\) | −6.26657 | − | 2.03613i | −0.483477 | − | 0.157091i | ||||
\(169\) | −9.09872 | + | 9.28511i | −0.699902 | + | 0.714239i | ||||
\(170\) | −0.105458 | + | 0.0766200i | −0.00808828 | + | 0.00587648i | ||||
\(171\) | 4.93437 | + | 3.99577i | 0.377341 | + | 0.305564i | ||||
\(172\) | −1.98905 | + | 9.35773i | −0.151663 | + | 0.713521i | ||||
\(173\) | 13.9239 | − | 2.95962i | 1.05861 | − | 0.225015i | 0.354467 | − | 0.935069i | \(-0.384662\pi\) |
0.704148 | + | 0.710053i | \(0.251329\pi\) | |||||||
\(174\) | −0.354326 | − | 2.23713i | −0.0268614 | − | 0.169596i | ||||
\(175\) | −14.5311 | − | 3.89359i | −1.09845 | − | 0.294328i | ||||
\(176\) | −6.35803 | − | 1.35015i | −0.479255 | − | 0.101772i | ||||
\(177\) | 6.84897 | − | 6.84897i | 0.514800 | − | 0.514800i | ||||
\(178\) | 7.92778 | + | 0.833243i | 0.594212 | + | 0.0624542i | ||||
\(179\) | −15.1990 | + | 13.6853i | −1.13603 | + | 1.02289i | −0.136549 | + | 0.990633i | \(0.543601\pi\) |
−0.999480 | + | 0.0322518i | \(0.989732\pi\) | |||||||
\(180\) | −0.0791295 | + | 0.0513873i | −0.00589796 | + | 0.00383018i | ||||
\(181\) | 14.0193 | + | 19.2959i | 1.04204 | + | 1.43425i | 0.895508 | + | 0.445046i | \(0.146813\pi\) |
0.146537 | + | 0.989205i | \(0.453187\pi\) | |||||||
\(182\) | 6.50724 | − | 0.545336i | 0.482349 | − | 0.0404230i | ||||
\(183\) | −1.87758 | + | 0.610061i | −0.138794 | + | 0.0450970i | ||||
\(184\) | 7.80448 | + | 0.409015i | 0.575354 | + | 0.0301530i | ||||
\(185\) | −0.0771395 | + | 0.0343447i | −0.00567141 | + | 0.00252507i | ||||
\(186\) | −0.730592 | − | 1.26542i | −0.0535696 | − | 0.0927852i | ||||
\(187\) | −8.34772 | + | 9.27470i | −0.610446 | + | 0.678233i | ||||
\(188\) | 4.43800 | − | 16.5628i | 0.323674 | − | 1.20797i | ||||
\(189\) | −2.33978 | + | 1.89472i | −0.170194 | + | 0.137820i | ||||
\(190\) | 0.0998723 | + | 0.196010i | 0.00724549 | + | 0.0142201i | ||||
\(191\) | −12.6688 | + | 14.0701i | −0.916682 | + | 1.01808i | 0.0830864 | + | 0.996542i | \(0.473522\pi\) |
−0.999768 | + | 0.0215358i | \(0.993144\pi\) | |||||||
\(192\) | −0.574186 | + | 0.0603494i | −0.0414383 | + | 0.00435534i | ||||
\(193\) | 12.7291 | − | 15.7192i | 0.916263 | − | 1.13149i | −0.0746796 | − | 0.997208i | \(-0.523793\pi\) |
0.990943 | − | 0.134283i | \(-0.0428733\pi\) | |||||||
\(194\) | 1.24045 | + | 3.81772i | 0.0890593 | + | 0.274096i | ||||
\(195\) | 0.116755 | − | 0.171738i | 0.00836100 | − | 0.0122984i | ||||
\(196\) | 2.73608 | + | 1.98788i | 0.195434 | + | 0.141991i | ||||
\(197\) | 3.65736 | + | 13.6495i | 0.260576 | + | 0.972484i | 0.964903 | + | 0.262608i | \(0.0845825\pi\) |
−0.704326 | + | 0.709876i | \(0.748751\pi\) | |||||||
\(198\) | 1.41049 | − | 1.41103i | 0.100239 | − | 0.100278i | ||||
\(199\) | −18.3120 | + | 10.5724i | −1.29810 | + | 0.749459i | −0.980076 | − | 0.198623i | \(-0.936353\pi\) |
−0.318026 | + | 0.948082i | \(0.603020\pi\) | |||||||
\(200\) | 10.8007 | − | 1.71067i | 0.763727 | − | 0.120962i | ||||
\(201\) | 6.37933 | + | 4.14279i | 0.449964 | + | 0.292210i | ||||
\(202\) | 0.0224436 | + | 0.428249i | 0.00157913 | + | 0.0301315i | ||||
\(203\) | −1.77339 | + | 11.1967i | −0.124467 | + | 0.785857i | ||||
\(204\) | −2.50679 | + | 5.63034i | −0.175510 | + | 0.394203i | ||||
\(205\) | 0.240071 | + | 0.0510286i | 0.0167673 | + | 0.00356399i | ||||
\(206\) | 0.267059 | − | 5.09579i | 0.0186069 | − | 0.355041i | ||||
\(207\) | 2.09897 | − | 2.88899i | 0.145889 | − | 0.200799i | ||||
\(208\) | 6.19258 | − | 3.40306i | 0.429378 | − | 0.235960i | ||||
\(209\) | 13.2557 | + | 16.3629i | 0.916913 | + | 1.13184i | ||||
\(210\) | −0.100759 | + | 0.0269984i | −0.00695306 | + | 0.00186307i | ||||
\(211\) | −1.43934 | − | 3.23281i | −0.0990883 | − | 0.222556i | 0.857199 | − | 0.514986i | \(-0.172203\pi\) |
−0.956287 | + | 0.292430i | \(0.905536\pi\) | |||||||
\(212\) | 0.338472 | + | 1.59238i | 0.0232463 | + | 0.109365i | ||||
\(213\) | −3.28550 | + | 6.44815i | −0.225119 | + | 0.441820i | ||||
\(214\) | −0.0277541 | − | 0.0723018i | −0.00189723 | − | 0.00494245i | ||||
\(215\) | 0.120543 | + | 0.314025i | 0.00822097 | + | 0.0214164i | ||||
\(216\) | 0.993569 | − | 1.94999i | 0.0676038 | − | 0.132680i | ||||
\(217\) | 1.52049 | + | 7.15335i | 0.103218 | + | 0.485601i | ||||
\(218\) | 2.08424 | + | 4.68128i | 0.141163 | + | 0.317056i | ||||
\(219\) | 3.95934 | − | 1.06090i | 0.267547 | − | 0.0716890i | ||||
\(220\) | −0.292121 | + | 0.112200i | −0.0196948 | + | 0.00756450i | ||||
\(221\) | 0.286349 | − | 13.5622i | 0.0192619 | − | 0.912290i | ||||
\(222\) | 0.518371 | − | 0.713476i | 0.0347908 | − | 0.0478854i | ||||
\(223\) | 0.389354 | − | 7.42932i | 0.0260731 | − | 0.497504i | −0.954116 | − | 0.299438i | \(-0.903201\pi\) |
0.980189 | − | 0.198066i | \(-0.0634659\pi\) | |||||||
\(224\) | −16.3619 | − | 3.47784i | −1.09323 | − | 0.232373i | ||||
\(225\) | 2.03233 | − | 4.56470i | 0.135489 | − | 0.304313i | ||||
\(226\) | −0.363677 | + | 2.29617i | −0.0241914 | + | 0.152739i | ||||
\(227\) | 1.29038 | + | 24.6219i | 0.0856456 | + | 1.63422i | 0.616927 | + | 0.787020i | \(0.288377\pi\) |
−0.531281 | + | 0.847195i | \(0.678289\pi\) | |||||||
\(228\) | 8.72310 | + | 5.66484i | 0.577701 | + | 0.375163i | ||||
\(229\) | −21.4577 | + | 3.39856i | −1.41796 | + | 0.224583i | −0.817896 | − | 0.575367i | \(-0.804859\pi\) |
−0.600067 | + | 0.799950i | \(0.704859\pi\) | |||||||
\(230\) | 0.107149 | − | 0.0618625i | 0.00706519 | − | 0.00407909i | ||||
\(231\) | −8.89625 | + | 4.53504i | −0.585330 | + | 0.298384i | ||||
\(232\) | −2.13278 | − | 7.95964i | −0.140024 | − | 0.522576i | ||||
\(233\) | −14.4309 | − | 10.4846i | −0.945397 | − | 0.686871i | 0.00431640 | − | 0.999991i | \(-0.498626\pi\) |
−0.949714 | + | 0.313119i | \(0.898626\pi\) | |||||||
\(234\) | −0.159209 | + | 2.16307i | −0.0104078 | + | 0.141404i | ||||
\(235\) | −0.186303 | − | 0.573382i | −0.0121531 | − | 0.0374033i | ||||
\(236\) | 9.98533 | − | 12.3309i | 0.649990 | − | 0.802670i | ||||
\(237\) | 2.41747 | − | 0.254086i | 0.157031 | − | 0.0165047i | ||||
\(238\) | −4.55942 | + | 5.06375i | −0.295544 | + | 0.328234i | ||||
\(239\) | −10.1752 | − | 19.9699i | −0.658176 | − | 1.29174i | −0.942881 | − | 0.333129i | \(-0.891896\pi\) |
0.284705 | − | 0.958615i | \(-0.408104\pi\) | |||||||
\(240\) | −0.0877210 | + | 0.0710351i | −0.00566237 | + | 0.00458529i | ||||
\(241\) | −6.87161 | + | 25.6452i | −0.442639 | + | 1.65195i | 0.279456 | + | 0.960158i | \(0.409846\pi\) |
−0.722095 | + | 0.691794i | \(0.756821\pi\) | |||||||
\(242\) | 5.54813 | − | 3.60606i | 0.356648 | − | 0.231806i | ||||
\(243\) | −0.500000 | − | 0.866025i | −0.0320750 | − | 0.0555556i | ||||
\(244\) | −2.95441 | + | 1.31539i | −0.189137 | + | 0.0842092i | ||||
\(245\) | 0.118747 | + | 0.00622327i | 0.00758647 | + | 0.000397590i | ||||
\(246\) | −2.43790 | + | 0.792122i | −0.155435 | + | 0.0505039i | ||||
\(247\) | −22.5304 | − | 4.05774i | −1.43358 | − | 0.258188i | ||||
\(248\) | −3.12466 | − | 4.30072i | −0.198416 | − | 0.273096i | ||||
\(249\) | 5.48534 | − | 3.56222i | 0.347619 | − | 0.225746i | ||||
\(250\) | 0.257394 | − | 0.231759i | 0.0162790 | − | 0.0146577i | ||||
\(251\) | −18.2474 | − | 1.91788i | −1.15176 | − | 0.121055i | −0.490661 | − | 0.871351i | \(-0.663245\pi\) |
−0.661103 | + | 0.750295i | \(0.729911\pi\) | |||||||
\(252\) | −3.48745 | + | 3.48745i | −0.219689 | + | 0.219689i | ||||
\(253\) | 8.79999 | − | 7.92664i | 0.553251 | − | 0.498343i | ||||
\(254\) | 9.53408 | + | 2.55465i | 0.598221 | + | 0.160293i | ||||
\(255\) | 0.0338987 | + | 0.214028i | 0.00212282 | + | 0.0134030i | ||||
\(256\) | 5.61319 | − | 1.19312i | 0.350824 | − | 0.0745700i | ||||
\(257\) | 2.40766 | − | 11.3272i | 0.150186 | − | 0.706569i | −0.837027 | − | 0.547162i | \(-0.815708\pi\) |
0.987213 | − | 0.159407i | \(-0.0509583\pi\) | |||||||
\(258\) | −2.73018 | − | 2.21085i | −0.169973 | − | 0.137642i | ||||
\(259\) | −3.57092 | + | 2.59442i | −0.221886 | + | 0.161210i | ||||
\(260\) | 0.160806 | − | 0.299782i | 0.00997276 | − | 0.0185917i | ||||
\(261\) | −3.58101 | − | 1.16354i | −0.221659 | − | 0.0720213i | ||||
\(262\) | 8.31431 | + | 3.19156i | 0.513659 | + | 0.197175i | ||||
\(263\) | 4.62376 | + | 2.66953i | 0.285113 | + | 0.164610i | 0.635736 | − | 0.771907i | \(-0.280697\pi\) |
−0.350623 | + | 0.936517i | \(0.614030\pi\) | |||||||
\(264\) | 4.56684 | − | 5.64181i | 0.281069 | − | 0.347229i | ||||
\(265\) | 0.0404739 | + | 0.0404739i | 0.00248629 | + | 0.00248629i | ||||
\(266\) | 7.23679 | + | 8.93669i | 0.443716 | + | 0.547943i | ||||
\(267\) | 7.21729 | − | 11.1136i | 0.441691 | − | 0.680144i | ||||
\(268\) | 11.1024 | + | 5.65693i | 0.678184 | + | 0.345552i | ||||
\(269\) | 19.4903 | + | 8.67764i | 1.18834 | + | 0.529085i | 0.903125 | − | 0.429377i | \(-0.141267\pi\) |
0.285219 | + | 0.958462i | \(0.407934\pi\) | |||||||
\(270\) | −0.00362163 | − | 0.0344575i | −0.000220405 | − | 0.00209701i | ||||
\(271\) | 7.91200 | + | 12.1834i | 0.480620 | + | 0.740090i | 0.992929 | − | 0.118711i | \(-0.0378763\pi\) |
−0.512309 | + | 0.858801i | \(0.671210\pi\) | |||||||
\(272\) | −2.27846 | + | 7.01237i | −0.138152 | + | 0.425187i | ||||
\(273\) | 4.10327 | − | 10.0500i | 0.248341 | − | 0.608252i | ||||
\(274\) | 1.56739i | 0.0946894i | ||||||||
\(275\) | 9.73825 | − | 13.4090i | 0.587239 | − | 0.808594i | ||||
\(276\) | 2.92488 | − | 5.06604i | 0.176057 | − | 0.304940i | ||||
\(277\) | −2.55879 | + | 24.3452i | −0.153743 | + | 1.46276i | 0.597039 | + | 0.802212i | \(0.296344\pi\) |
−0.750782 | + | 0.660550i | \(0.770323\pi\) | |||||||
\(278\) | −9.26539 | + | 4.72095i | −0.555701 | + | 0.283144i | ||||
\(279\) | −2.42570 | + | 0.127126i | −0.145223 | + | 0.00761081i | ||||
\(280\) | −0.354301 | + | 0.136003i | −0.0211735 | + | 0.00812776i | ||||
\(281\) | 14.5991 | + | 2.31227i | 0.870910 | + | 0.137939i | 0.575865 | − | 0.817545i | \(-0.304665\pi\) |
0.295045 | + | 0.955483i | \(0.404665\pi\) | |||||||
\(282\) | 4.67936 | + | 4.21331i | 0.278652 | + | 0.250899i | ||||
\(283\) | −10.5018 | − | 11.6634i | −0.624267 | − | 0.693319i | 0.345203 | − | 0.938528i | \(-0.387810\pi\) |
−0.969470 | + | 0.245209i | \(0.921143\pi\) | |||||||
\(284\) | −4.24848 | + | 11.0677i | −0.252101 | + | 0.656746i | ||||
\(285\) | 0.365701 | 0.0216622 | ||||||||
\(286\) | −2.00674 | + | 6.90793i | −0.118661 | + | 0.408474i | ||||
\(287\) | 12.8295 | 0.757302 | ||||||||
\(288\) | 1.99107 | − | 5.18692i | 0.117325 | − | 0.305642i | ||||
\(289\) | −1.90371 | − | 2.11429i | −0.111983 | − | 0.124370i | ||||
\(290\) | −0.0969485 | − | 0.0872928i | −0.00569301 | − | 0.00512601i | ||||
\(291\) | 6.59091 | + | 1.04390i | 0.386366 | + | 0.0611944i | ||||
\(292\) | 6.26874 | − | 2.40635i | 0.366851 | − | 0.140821i | ||||
\(293\) | −25.1142 | + | 1.31618i | −1.46719 | + | 0.0768920i | −0.769103 | − | 0.639125i | \(-0.779297\pi\) |
−0.698083 | + | 0.716017i | \(0.745963\pi\) | |||||||
\(294\) | −1.10656 | + | 0.563820i | −0.0645358 | + | 0.0328826i | ||||
\(295\) | 0.0583139 | − | 0.554819i | 0.00339516 | − | 0.0323028i | ||||
\(296\) | 1.60425 | − | 2.77864i | 0.0932449 | − | 0.161505i | ||||
\(297\) | −1.02550 | − | 3.15410i | −0.0595058 | − | 0.183019i | ||||
\(298\) | 4.83212i | 0.279917i | ||||||||
\(299\) | −1.61584 | + | 12.7736i | −0.0934466 | + | 0.738715i | ||||
\(300\) | 2.52938 | − | 7.78464i | 0.146034 | − | 0.449446i | ||||
\(301\) | 9.57630 | + | 14.7462i | 0.551969 | + | 0.849957i | ||||
\(302\) | −1.45647 | − | 13.8574i | −0.0838103 | − | 0.797402i | ||||
\(303\) | 0.651254 | + | 0.289957i | 0.0374136 | + | 0.0166576i | ||||
\(304\) | 11.0870 | + | 5.64911i | 0.635883 | + | 0.323999i | ||||
\(305\) | −0.0619294 | + | 0.0953628i | −0.00354606 | + | 0.00546046i | ||||
\(306\) | −1.42429 | − | 1.75885i | −0.0814212 | − | 0.100547i | ||||
\(307\) | −11.9442 | − | 11.9442i | −0.681692 | − | 0.681692i | 0.278689 | − | 0.960381i | \(-0.410100\pi\) |
−0.960381 | + | 0.278689i | \(0.910100\pi\) | |||||||
\(308\) | −13.7169 | + | 8.91164i | −0.781593 | + | 0.507788i | ||||
\(309\) | −7.34625 | − | 4.24136i | −0.417914 | − | 0.241283i | ||||
\(310\) | −0.0785694 | − | 0.0301600i | −0.00446244 | − | 0.00171297i | ||||
\(311\) | −18.2498 | − | 5.92971i | −1.03485 | − | 0.336243i | −0.258144 | − | 0.966106i | \(-0.583111\pi\) |
−0.776706 | + | 0.629863i | \(0.783111\pi\) | |||||||
\(312\) | 0.246542 | + | 7.88698i | 0.0139577 | + | 0.446512i | ||||
\(313\) | 15.8082 | − | 11.4854i | 0.893535 | − | 0.649191i | −0.0432626 | − | 0.999064i | \(-0.513775\pi\) |
0.936797 | + | 0.349873i | \(0.113775\pi\) | |||||||
\(314\) | −6.29500 | − | 5.09759i | −0.355247 | − | 0.287673i | ||||
\(315\) | −0.0360536 | + | 0.169619i | −0.00203139 | + | 0.00955693i | ||||
\(316\) | 3.89494 | − | 0.827895i | 0.219108 | − | 0.0465728i | ||||
\(317\) | 2.36421 | + | 14.9270i | 0.132787 | + | 0.838386i | 0.960712 | + | 0.277547i | \(0.0895214\pi\) |
−0.827925 | + | 0.560839i | \(0.810479\pi\) | |||||||
\(318\) | −0.577443 | − | 0.154725i | −0.0323814 | − | 0.00867657i | ||||
\(319\) | −10.8162 | − | 6.24193i | −0.605590 | − | 0.349481i | ||||
\(320\) | −0.0235137 | + | 0.0235137i | −0.00131445 | + | 0.00131445i | ||||
\(321\) | −0.128038 | − | 0.0134574i | −0.00714640 | − | 0.000751117i | ||||
\(322\) | 4.80625 | − | 4.32757i | 0.267842 | − | 0.241166i | ||||
\(323\) | 20.0343 | − | 13.0104i | 1.11474 | − | 0.723920i | ||||
\(324\) | −0.962873 | − | 1.32528i | −0.0534929 | − | 0.0736267i | ||||
\(325\) | 1.50453 | + | 17.9529i | 0.0834563 | + | 0.995846i | ||||
\(326\) | −2.92279 | + | 0.949671i | −0.161878 | + | 0.0525974i | ||||
\(327\) | 8.50681 | + | 0.445823i | 0.470428 | + | 0.0246541i | ||||
\(328\) | −8.51960 | + | 3.79317i | −0.470416 | + | 0.209443i | ||||
\(329\) | −15.7574 | − | 27.2925i | −0.868731 | − | 1.50469i | ||||
\(330\) | 0.0119894 | − | 0.114285i | 0.000659996 | − | 0.00629117i | ||||
\(331\) | −2.91513 | + | 10.8794i | −0.160230 | + | 0.597986i | 0.838371 | + | 0.545100i | \(0.183508\pi\) |
−0.998601 | + | 0.0528853i | \(0.983158\pi\) | |||||||
\(332\) | 8.32654 | − | 6.74270i | 0.456978 | − | 0.370054i | ||||
\(333\) | −0.665574 | − | 1.30626i | −0.0364732 | − | 0.0715828i | ||||
\(334\) | −0.404730 | + | 0.449498i | −0.0221458 | + | 0.0245955i | ||||
\(335\) | 0.435708 | − | 0.0457947i | 0.0238053 | − | 0.00250203i | ||||
\(336\) | −3.71320 | + | 4.58542i | −0.202572 | + | 0.250155i | ||||
\(337\) | 8.81672 | + | 27.1351i | 0.480277 | + | 1.47814i | 0.838706 | + | 0.544584i | \(0.183312\pi\) |
−0.358429 | + | 0.933557i | \(0.616688\pi\) | |||||||
\(338\) | −3.25301 | − | 7.11146i | −0.176940 | − | 0.386812i | ||||
\(339\) | 3.12657 | + | 2.27159i | 0.169812 | + | 0.123376i | ||||
\(340\) | 0.0918750 | + | 0.342882i | 0.00498262 | + | 0.0185954i | ||||
\(341\) | −7.95723 | − | 1.25872i | −0.430908 | − | 0.0681636i | ||||
\(342\) | −3.30774 | + | 1.90973i | −0.178862 | + | 0.103266i | ||||
\(343\) | −14.6765 | + | 2.32452i | −0.792454 | + | 0.125512i | ||||
\(344\) | −10.7191 | − | 6.96107i | −0.577936 | − | 0.375316i | ||||
\(345\) | −0.0107643 | − | 0.205395i | −0.000579530 | − | 0.0110581i | ||||
\(346\) | −1.33956 | + | 8.45763i | −0.0720150 | + | 0.454685i | ||||
\(347\) | 10.7131 | − | 24.0620i | 0.575108 | − | 1.29171i | −0.358537 | − | 0.933515i | \(-0.616724\pi\) |
0.933645 | − | 0.358198i | \(-0.116609\pi\) | |||||||
\(348\) | −6.03328 | − | 1.28241i | −0.323418 | − | 0.0687445i | ||||
\(349\) | −0.457023 | + | 8.72052i | −0.0244639 | + | 0.466799i | 0.958740 | + | 0.284286i | \(0.0917565\pi\) |
−0.983203 | + | 0.182513i | \(0.941577\pi\) | |||||||
\(350\) | 5.31919 | − | 7.32123i | 0.284323 | − | 0.391336i | ||||
\(351\) | 3.08375 | + | 1.86829i | 0.164598 | + | 0.0997218i | ||||
\(352\) | 10.0331 | − | 15.4561i | 0.534764 | − | 0.823814i | ||||
\(353\) | 32.6911 | − | 8.75955i | 1.73997 | − | 0.466224i | 0.757530 | − | 0.652800i | \(-0.226406\pi\) |
0.982440 | + | 0.186577i | \(0.0597393\pi\) | |||||||
\(354\) | 2.36988 | + | 5.32283i | 0.125958 | + | 0.282905i | ||||
\(355\) | 0.0866623 | + | 0.407714i | 0.00459956 | + | 0.0216392i | ||||
\(356\) | 9.85512 | − | 19.3418i | 0.522320 | − | 1.02511i | ||||
\(357\) | 4.05935 | + | 10.5750i | 0.214843 | + | 0.559686i | ||||
\(358\) | −4.40904 | − | 11.4859i | −0.233025 | − | 0.607051i | ||||
\(359\) | −7.02109 | + | 13.7797i | −0.370559 | + | 0.727263i | −0.998707 | − | 0.0508307i | \(-0.983813\pi\) |
0.628148 | + | 0.778094i | \(0.283813\pi\) | |||||||
\(360\) | −0.0262076 | − | 0.123297i | −0.00138126 | − | 0.00649832i | ||||
\(361\) | −8.66927 | − | 19.4715i | −0.456277 | − | 1.02482i | ||||
\(362\) | −13.8587 | + | 3.71343i | −0.728398 | + | 0.195174i | ||||
\(363\) | −1.15405 | − | 10.9393i | −0.0605721 | − | 0.574164i | ||||
\(364\) | 4.96403 | − | 17.0757i | 0.260186 | − | 0.895008i | ||||
\(365\) | 0.138770 | − | 0.191000i | 0.00726353 | − | 0.00999739i | ||||
\(366\) | 0.0621532 | − | 1.18595i | 0.00324880 | − | 0.0619908i | ||||
\(367\) | −24.6887 | − | 5.24774i | −1.28874 | − | 0.273930i | −0.487948 | − | 0.872873i | \(-0.662254\pi\) |
−0.800792 | + | 0.598943i | \(0.795588\pi\) | |||||||
\(368\) | 2.84646 | − | 6.39326i | 0.148382 | − | 0.333272i | ||||
\(369\) | −0.666607 | + | 4.20879i | −0.0347022 | + | 0.219101i | ||||
\(370\) | −0.00265839 | − | 0.0507251i | −0.000138203 | − | 0.00263707i | ||||
\(371\) | 2.50933 | + | 1.62958i | 0.130278 | + | 0.0846034i | ||||
\(372\) | −3.93009 | + | 0.622465i | −0.203766 | + | 0.0322733i | ||||
\(373\) | 15.1128 | − | 8.72539i | 0.782512 | − | 0.451784i | −0.0548077 | − | 0.998497i | \(-0.517455\pi\) |
0.837320 | + | 0.546713i | \(0.184121\pi\) | |||||||
\(374\) | −3.40906 | − | 6.68745i | −0.176278 | − | 0.345800i | ||||
\(375\) | −0.149022 | − | 0.556156i | −0.00769544 | − | 0.0287198i | ||||
\(376\) | 18.5332 | + | 13.4651i | 0.955775 | + | 0.694411i | ||||
\(377\) | 13.3359 | − | 2.54166i | 0.686834 | − | 0.130902i | ||||
\(378\) | −0.559664 | − | 1.72247i | −0.0287860 | − | 0.0885942i | ||||
\(379\) | −15.2263 | + | 18.8029i | −0.782123 | + | 0.965841i | −0.999949 | − | 0.0101467i | \(-0.996770\pi\) |
0.217826 | + | 0.975988i | \(0.430103\pi\) | |||||||
\(380\) | 0.595786 | − | 0.0626196i | 0.0305632 | − | 0.00321232i | ||||
\(381\) | 10.9793 | − | 12.1937i | 0.562485 | − | 0.624703i | ||||
\(382\) | −5.17063 | − | 10.1479i | −0.264552 | − | 0.519213i | ||||
\(383\) | 14.4100 | − | 11.6690i | 0.736318 | − | 0.596258i | −0.186064 | − | 0.982538i | \(-0.559573\pi\) |
0.922382 | + | 0.386279i | \(0.126240\pi\) | |||||||
\(384\) | 2.96586 | − | 11.0687i | 0.151351 | − | 0.564849i | ||||
\(385\) | −0.233824 | + | 0.525453i | −0.0119168 | + | 0.0267795i | ||||
\(386\) | 6.08372 | + | 10.5373i | 0.309653 | + | 0.536335i | ||||
\(387\) | −5.33515 | + | 2.37536i | −0.271201 | + | 0.120746i | ||||
\(388\) | 10.9164 | + | 0.572105i | 0.554197 | + | 0.0290442i | ||||
\(389\) | 5.68674 | − | 1.84774i | 0.288329 | − | 0.0936839i | −0.161281 | − | 0.986908i | \(-0.551563\pi\) |
0.449611 | + | 0.893225i | \(0.351563\pi\) | |||||||
\(390\) | 0.0712779 | + | 0.102592i | 0.00360930 | + | 0.00519494i | ||||
\(391\) | −7.89698 | − | 10.8693i | −0.399367 | − | 0.549682i | ||||
\(392\) | −3.78934 | + | 2.46083i | −0.191391 | + | 0.124291i | ||||
\(393\) | 11.0021 | − | 9.90633i | 0.554982 | − | 0.499708i | ||||
\(394\) | −8.45392 | − | 0.888543i | −0.425903 | − | 0.0447642i | ||||
\(395\) | 0.0989984 | − | 0.0989984i | 0.00498115 | − | 0.00498115i | ||||
\(396\) | −2.21080 | − | 4.96294i | −0.111097 | − | 0.249397i | ||||
\(397\) | −30.0683 | − | 8.05677i | −1.50908 | − | 0.404357i | −0.592952 | − | 0.805238i | \(-0.702038\pi\) |
−0.916130 | + | 0.400880i | \(0.868704\pi\) | |||||||
\(398\) | −1.98980 | − | 12.5631i | −0.0997396 | − | 0.629731i | ||||
\(399\) | 18.6985 | − | 3.97448i | 0.936094 | − | 0.198973i | ||||
\(400\) | 2.03594 | − | 9.57834i | 0.101797 | − | 0.478917i | ||||
\(401\) | 6.71492 | + | 5.43764i | 0.335327 | + | 0.271543i | 0.782164 | − | 0.623073i | \(-0.214116\pi\) |
−0.446836 | + | 0.894616i | \(0.647449\pi\) | |||||||
\(402\) | −3.70181 | + | 2.68952i | −0.184629 | + | 0.134141i | ||||
\(403\) | 7.44412 | − | 4.61383i | 0.370818 | − | 0.229831i | ||||
\(404\) | 1.11065 | + | 0.360872i | 0.0552568 | + | 0.0179540i | ||||
\(405\) | −0.0537711 | − | 0.0206408i | −0.00267191 | − | 0.00102565i | ||||
\(406\) | −5.90574 | − | 3.40968i | −0.293097 | − | 0.169220i | ||||
\(407\) | −1.25938 | − | 4.69642i | −0.0624251 | − | 0.232793i | ||||
\(408\) | −5.82224 | − | 5.82224i | −0.288244 | − | 0.288244i | ||||
\(409\) | −8.93856 | − | 11.0382i | −0.441983 | − | 0.545804i | 0.506662 | − | 0.862145i | \(-0.330879\pi\) |
−0.948646 | + | 0.316341i | \(0.897546\pi\) | |||||||
\(410\) | −0.0804110 | + | 0.123822i | −0.00397122 | + | 0.00611514i | ||||
\(411\) | 2.32159 | + | 1.18291i | 0.114516 | + | 0.0583486i | ||||
\(412\) | −12.6945 | − | 5.65195i | −0.625413 | − | 0.278452i | ||||
\(413\) | −3.04823 | − | 29.0020i | −0.149994 | − | 1.42709i | ||||
\(414\) | 1.16996 | + | 1.80157i | 0.0575002 | + | 0.0885425i | ||||
\(415\) | 0.116410 | − | 0.358274i | 0.00571435 | − | 0.0175870i | ||||
\(416\) | 2.71538 | + | 19.8474i | 0.133132 | + | 0.973097i | ||||
\(417\) | 17.2866i | 0.846530i | ||||||||
\(418\) | −12.0469 | + | 3.91687i | −0.589235 | + | 0.191580i | ||||
\(419\) | −12.7954 | + | 22.1623i | −0.625097 | + | 1.08270i | 0.363425 | + | 0.931623i | \(0.381607\pi\) |
−0.988522 | + | 0.151076i | \(0.951726\pi\) | |||||||
\(420\) | −0.0296930 | + | 0.282510i | −0.00144887 | + | 0.0137851i | ||||
\(421\) | 12.3707 | − | 6.30319i | 0.602911 | − | 0.307199i | −0.125762 | − | 0.992060i | \(-0.540138\pi\) |
0.728673 | + | 0.684862i | \(0.240138\pi\) | |||||||
\(422\) | 2.12582 | − | 0.111410i | 0.103483 | − | 0.00542333i | ||||
\(423\) | 9.77220 | − | 3.75120i | 0.475141 | − | 0.182389i | ||||
\(424\) | −2.14815 | − | 0.340233i | −0.104323 | − | 0.0165232i | ||||
\(425\) | −13.9704 | − | 12.5790i | −0.677665 | − | 0.610172i | ||||
\(426\) | −2.91298 | − | 3.23519i | −0.141134 | − | 0.156746i | ||||
\(427\) | −2.13006 | + | 5.54901i | −0.103081 | + | 0.268535i | ||||
\(428\) | −0.210899 | −0.0101942 | ||||||||
\(429\) | 8.71742 | + | 8.18576i | 0.420881 | + | 0.395212i | ||||
\(430\) | −0.202342 | −0.00975778 | ||||||||
\(431\) | 5.01167 | − | 13.0559i | 0.241404 | − | 0.628878i | −0.758332 | − | 0.651869i | \(-0.773985\pi\) |
0.999736 | + | 0.0229902i | \(0.00731867\pi\) | |||||||
\(432\) | −1.31134 | − | 1.45639i | −0.0630918 | − | 0.0700706i | ||||
\(433\) | −5.58050 | − | 5.02471i | −0.268182 | − | 0.241472i | 0.524057 | − | 0.851683i | \(-0.324418\pi\) |
−0.792239 | + | 0.610211i | \(0.791085\pi\) | |||||||
\(434\) | −4.34508 | − | 0.688192i | −0.208570 | − | 0.0330343i | ||||
\(435\) | −0.202464 | + | 0.0777185i | −0.00970739 | + | 0.00372632i | ||||
\(436\) | 13.9353 | − | 0.730319i | 0.667381 | − | 0.0349760i | ||||
\(437\) | −20.2022 | + | 10.2935i | −0.966401 | + | 0.492406i | ||||
\(438\) | −0.257742 | + | 2.45225i | −0.0123154 | + | 0.117173i | ||||
\(439\) | 5.00289 | − | 8.66526i | 0.238775 | − | 0.413571i | −0.721588 | − | 0.692323i | \(-0.756587\pi\) |
0.960363 | + | 0.278752i | \(0.0899208\pi\) | |||||||
\(440\) | −8.10385e−5 | − | 0.418066i | −3.86336e−6 | − | 0.0199305i | ||||
\(441\) | 2.06453i | 0.0983110i | ||||||||
\(442\) | 7.55473 | + | 3.08450i | 0.359342 | + | 0.146715i | ||||
\(443\) | −11.7402 | + | 36.1327i | −0.557795 | + | 1.71672i | 0.130650 | + | 0.991429i | \(0.458294\pi\) |
−0.688445 | + | 0.725289i | \(0.741706\pi\) | |||||||
\(444\) | −1.30800 | − | 2.01415i | −0.0620751 | − | 0.0955872i | ||||
\(445\) | −0.0797805 | − | 0.759060i | −0.00378196 | − | 0.0359829i | ||||
\(446\) | 4.08834 | + | 1.82025i | 0.193589 | + | 0.0861912i | ||||
\(447\) | 7.15725 | + | 3.64680i | 0.338526 | + | 0.172488i | ||||
\(448\) | −0.946717 | + | 1.45782i | −0.0447282 | + | 0.0688753i | ||||
\(449\) | −4.90379 | − | 6.05567i | −0.231424 | − | 0.285785i | 0.648184 | − | 0.761483i | \(-0.275529\pi\) |
−0.879608 | + | 0.475699i | \(0.842195\pi\) | |||||||
\(450\) | 2.12539 | + | 2.12539i | 0.100192 | + | 0.100192i | ||||
\(451\) | −5.06225 | + | 13.1953i | −0.238372 | + | 0.621341i | ||||
\(452\) | 5.48267 | + | 3.16542i | 0.257883 | + | 0.148889i | ||||
\(453\) | −21.6245 | − | 8.30087i | −1.01601 | − | 0.390009i | ||||
\(454\) | −14.1058 | − | 4.58324i | −0.662016 | − | 0.215102i | ||||
\(455\) | −0.180612 | − | 0.598577i | −0.00846723 | − | 0.0280617i | ||||
\(456\) | −11.2419 | + | 8.16768i | −0.526448 | + | 0.382487i | ||||
\(457\) | 1.66893 | + | 1.35148i | 0.0780694 | + | 0.0632194i | 0.667561 | − | 0.744555i | \(-0.267338\pi\) |
−0.589491 | + | 0.807775i | \(0.700672\pi\) | |||||||
\(458\) | 2.71715 | − | 12.7832i | 0.126964 | − | 0.597319i | ||||
\(459\) | −3.68009 | + | 0.782227i | −0.171772 | + | 0.0365113i | ||||
\(460\) | −0.0527069 | − | 0.332778i | −0.00245747 | − | 0.0155159i | ||||
\(461\) | 11.4965 | + | 3.08047i | 0.535444 | + | 0.143472i | 0.516401 | − | 0.856347i | \(-0.327271\pi\) |
0.0190428 | + | 0.999819i | \(0.493938\pi\) | |||||||
\(462\) | −0.629037 | − | 5.97375i | −0.0292654 | − | 0.277924i | ||||
\(463\) | 19.4416 | − | 19.4416i | 0.903529 | − | 0.903529i | −0.0922102 | − | 0.995740i | \(-0.529393\pi\) |
0.995740 | + | 0.0922102i | \(0.0293932\pi\) | |||||||
\(464\) | −7.33867 | − | 0.771325i | −0.340689 | − | 0.0358079i | ||||
\(465\) | −0.103969 | + | 0.0936139i | −0.00482144 | + | 0.00434124i | ||||
\(466\) | 8.99908 | − | 5.84407i | 0.416875 | − | 0.270721i | ||||
\(467\) | 17.6302 | + | 24.2658i | 0.815826 | + | 1.12289i | 0.990398 | + | 0.138244i | \(0.0441458\pi\) |
−0.174572 | + | 0.984644i | \(0.555854\pi\) | |||||||
\(468\) | 5.34384 | + | 2.51571i | 0.247019 | + | 0.116289i | ||||
\(469\) | 21.7803 | − | 7.07683i | 1.00572 | − | 0.326778i | ||||
\(470\) | 0.362171 | + | 0.0189806i | 0.0167057 | + | 0.000875509i | ||||
\(471\) | −12.3013 | + | 5.47689i | −0.566814 | + | 0.252362i | ||||
\(472\) | 10.5989 | + | 18.3579i | 0.487855 | + | 0.844989i | ||||
\(473\) | −18.9452 | + | 4.03076i | −0.871101 | + | 0.185335i | ||||
\(474\) | −0.378455 | + | 1.41242i | −0.0173830 | + | 0.0648744i | ||||
\(475\) | −24.6555 | + | 19.9656i | −1.13127 | + | 0.916085i | ||||
\(476\) | 8.42410 | + | 16.5332i | 0.386118 | + | 0.757800i | ||||
\(477\) | −0.664973 | + | 0.738528i | −0.0304470 | + | 0.0338149i | ||||
\(478\) | 13.4085 | − | 1.40929i | 0.613292 | − | 0.0644596i | ||||
\(479\) | −11.6469 | + | 14.3827i | −0.532159 | + | 0.657161i | −0.970345 | − | 0.241723i | \(-0.922288\pi\) |
0.438187 | + | 0.898884i | \(0.355621\pi\) | |||||||
\(480\) | −0.0988865 | − | 0.304341i | −0.00451353 | − | 0.0138912i | ||||
\(481\) | 4.37139 | + | 2.97186i | 0.199318 | + | 0.135505i | ||||
\(482\) | −12.9209 | − | 9.38757i | −0.588530 | − | 0.427592i | ||||
\(483\) | −2.78264 | − | 10.3850i | −0.126615 | − | 0.472532i | ||||
\(484\) | −3.75330 | − | 17.6243i | −0.170604 | − | 0.801104i | ||||
\(485\) | 0.332853 | − | 0.192173i | 0.0151141 | − | 0.00872612i | ||||
\(486\) | 0.594145 | − | 0.0941033i | 0.0269509 | − | 0.00426861i | ||||
\(487\) | −11.7129 | − | 7.60646i | −0.530763 | − | 0.344682i | 0.251271 | − | 0.967917i | \(-0.419151\pi\) |
−0.782035 | + | 0.623235i | \(0.785818\pi\) | |||||||
\(488\) | −0.226122 | − | 4.31466i | −0.0102361 | − | 0.195315i | ||||
\(489\) | −0.799192 | + | 5.04590i | −0.0361407 | + | 0.228183i | ||||
\(490\) | −0.0290940 | + | 0.0653462i | −0.00131433 | + | 0.00295204i | ||||
\(491\) | −39.0219 | − | 8.29435i | −1.76103 | − | 0.374319i | −0.789970 | − | 0.613146i | \(-0.789904\pi\) |
−0.971062 | + | 0.238827i | \(0.923237\pi\) | |||||||
\(492\) | −0.365332 | + | 6.97095i | −0.0164704 | + | 0.314275i | ||||
\(493\) | −8.32667 | + | 11.4607i | −0.375015 | + | 0.516163i | ||||
\(494\) | 7.13584 | − | 11.7782i | 0.321056 | − | 0.529928i | ||||
\(495\) | −0.160228 | − | 0.104009i | −0.00720173 | − | 0.00467487i | ||||
\(496\) | −4.59812 | + | 1.23206i | −0.206462 | + | 0.0553213i | ||||
\(497\) | 8.86218 | + | 19.9048i | 0.397523 | + | 0.892851i | ||||
\(498\) | 0.818018 | + | 3.84847i | 0.0366563 | + | 0.172454i | ||||
\(499\) | −8.18976 | + | 16.0733i | −0.366624 | + | 0.719540i | −0.998455 | − | 0.0555663i | \(-0.982304\pi\) |
0.631831 | + | 0.775106i | \(0.282304\pi\) | |||||||
\(500\) | −0.338012 | − | 0.880551i | −0.0151164 | − | 0.0393794i | ||||
\(501\) | 0.360339 | + | 0.938716i | 0.0160988 | + | 0.0419387i | ||||
\(502\) | 5.01077 | − | 9.83420i | 0.223642 | − | 0.438922i | ||||
\(503\) | 3.91763 | + | 18.4310i | 0.174679 | + | 0.821799i | 0.974996 | + | 0.222222i | \(0.0713310\pi\) |
−0.800317 | + | 0.599577i | \(0.795336\pi\) | |||||||
\(504\) | −2.68001 | − | 6.01941i | −0.119377 | − | 0.268126i | ||||
\(505\) | 0.0396607 | − | 0.0106271i | 0.00176488 | − | 0.000472898i | ||||
\(506\) | 2.55450 | + | 6.65083i | 0.113561 | + | 0.295666i | ||||
\(507\) | −12.9884 | − | 0.548715i | −0.576836 | − | 0.0243693i | ||||
\(508\) | 15.7991 | − | 21.7456i | 0.700971 | − | 0.964803i | ||||
\(509\) | 0.804583 | − | 15.3524i | 0.0356625 | − | 0.680481i | −0.921050 | − | 0.389445i | \(-0.872667\pi\) |
0.956712 | − | 0.291036i | \(-0.0939999\pi\) | |||||||
\(510\) | −0.127505 | − | 0.0271020i | −0.00564602 | − | 0.00120010i | ||||
\(511\) | 5.01955 | − | 11.2741i | 0.222052 | − | 0.498736i | ||||
\(512\) | 3.04521 | − | 19.2267i | 0.134580 | − | 0.849707i | ||||
\(513\) | 0.332299 | + | 6.34065i | 0.0146714 | + | 0.279946i | ||||
\(514\) | 5.84225 | + | 3.79400i | 0.257691 | + | 0.167346i | ||||
\(515\) | −0.482561 | + | 0.0764301i | −0.0212642 | + | 0.00336791i | ||||
\(516\) | −8.28508 | + | 4.78340i | −0.364731 | + | 0.210577i | ||||
\(517\) | 34.2881 | − | 5.43752i | 1.50799 | − | 0.239142i | ||||
\(518\) | −0.687212 | − | 2.56471i | −0.0301944 | − | 0.112687i | ||||
\(519\) | 11.5163 | + | 8.36710i | 0.505511 | + | 0.367275i | ||||
\(520\) | 0.296913 | + | 0.344093i | 0.0130205 | + | 0.0150895i | ||||
\(521\) | 7.18418 | + | 22.1106i | 0.314745 | + | 0.968685i | 0.975859 | + | 0.218400i | \(0.0700837\pi\) |
−0.661115 | + | 0.750285i | \(0.729916\pi\) | |||||||
\(522\) | 1.42542 | − | 1.76025i | 0.0623889 | − | 0.0770439i | ||||
\(523\) | 34.8504 | − | 3.66292i | 1.52390 | − | 0.160168i | 0.694774 | − | 0.719228i | \(-0.255504\pi\) |
0.829127 | + | 0.559060i | \(0.188838\pi\) | |||||||
\(524\) | 16.2279 | − | 18.0229i | 0.708920 | − | 0.787336i | ||||
\(525\) | −6.82969 | − | 13.4040i | −0.298072 | − | 0.585000i | ||||
\(526\) | −2.49597 | + | 2.02120i | −0.108830 | + | 0.0881284i | ||||
\(527\) | −2.36528 | + | 8.82735i | −0.103033 | + | 0.384526i | ||||
\(528\) | −3.25100 | − | 5.62837i | −0.141481 | − | 0.244943i | ||||
\(529\) | −5.12403 | − | 8.87508i | −0.222784 | − | 0.385873i | ||||
\(530\) | −0.0314552 | + | 0.0140048i | −0.00136633 | + | 0.000608328i | ||||
\(531\) | 9.67264 | + | 0.506921i | 0.419757 | + | 0.0219985i | ||||
\(532\) | 29.7823 | − | 9.67686i | 1.29123 | − | 0.419545i | ||||
\(533\) | −5.20202 | − | 14.4567i | −0.225324 | − | 0.626190i | ||||
\(534\) | 4.68550 | + | 6.44904i | 0.202761 | + | 0.279077i | ||||
\(535\) | −0.00621890 | + | 0.00403860i | −0.000268866 | + | 0.000174604i | ||||
\(536\) | −12.3711 | + | 11.1390i | −0.534351 | + | 0.481131i | ||||
\(537\) | −20.3403 | − | 2.13785i | −0.877748 | − | 0.0922550i | ||||
\(538\) | −9.07497 | + | 9.07497i | −0.391250 | + | 0.391250i | ||||
\(539\) | −1.42233 | + | 6.69792i | −0.0612641 | + | 0.288500i | ||||
\(540\) | −0.0911362 | − | 0.0244199i | −0.00392188 | − | 0.00105086i | ||||
\(541\) | −4.08627 | − | 25.7997i | −0.175683 | − | 1.10922i | −0.905116 | − | 0.425165i | \(-0.860216\pi\) |
0.729433 | − | 0.684052i | \(-0.239784\pi\) | |||||||
\(542\) | −8.54780 | + | 1.81689i | −0.367159 | + | 0.0780421i | ||||
\(543\) | −4.95890 | + | 23.3298i | −0.212807 | + | 1.00118i | ||||
\(544\) | −16.2448 | − | 13.1548i | −0.696491 | − | 0.564007i | ||||
\(545\) | 0.396933 | − | 0.288389i | 0.0170027 | − | 0.0123532i | ||||
\(546\) | 4.75946 | + | 4.47092i | 0.203686 | + | 0.191338i | ||||
\(547\) | −12.9001 | − | 4.19149i | −0.551567 | − | 0.179215i | 0.0199561 | − | 0.999801i | \(-0.493647\pi\) |
−0.571523 | + | 0.820586i | \(0.693647\pi\) | |||||||
\(548\) | 3.98480 | + | 1.52962i | 0.170222 | + | 0.0653422i | ||||
\(549\) | −1.70971 | − | 0.987100i | −0.0729685 | − | 0.0421284i | ||||
\(550\) | 5.43111 | + | 8.35963i | 0.231583 | + | 0.356456i | ||||
\(551\) | 16.9049 | + | 16.9049i | 0.720173 | + | 0.720173i | ||||
\(552\) | 4.91826 | + | 6.07354i | 0.209335 | + | 0.258507i | ||||
\(553\) | 3.98591 | − | 6.13777i | 0.169498 | − | 0.261004i | ||||
\(554\) | −13.1206 | − | 6.68526i | −0.557439 | − | 0.284029i | ||||
\(555\) | −0.0771395 | − | 0.0343447i | −0.00327439 | − | 0.00145785i | ||||
\(556\) | 2.96002 | + | 28.1628i | 0.125533 | + | 1.19437i | ||||
\(557\) | −16.9531 | − | 26.1055i | −0.718327 | − | 1.10613i | −0.989631 | − | 0.143633i | \(-0.954121\pi\) |
0.271303 | − | 0.962494i | \(-0.412545\pi\) | |||||||
\(558\) | 0.451531 | − | 1.38967i | 0.0191148 | − | 0.0588293i | ||||
\(559\) | 12.7336 | − | 16.7701i | 0.538573 | − | 0.709299i | ||||
\(560\) | 0.339839i | 0.0143608i | ||||||||
\(561\) | −12.4782 | + | 0.00241879i | −0.526828 | + | 0.000102121i | ||||
\(562\) | −4.44579 | + | 7.70033i | −0.187534 | + | 0.324819i | ||||
\(563\) | 0.844205 | − | 8.03207i | 0.0355790 | − | 0.338511i | −0.962224 | − | 0.272259i | \(-0.912229\pi\) |
0.997803 | − | 0.0662521i | \(-0.0211042\pi\) | |||||||
\(564\) | 15.2782 | − | 7.78462i | 0.643327 | − | 0.327792i | ||||
\(565\) | 0.222286 | − | 0.0116495i | 0.00935165 | − | 0.000490099i | ||||
\(566\) | 8.81408 | − | 3.38341i | 0.370483 | − | 0.142215i | ||||
\(567\) | −2.97367 | − | 0.470983i | −0.124882 | − | 0.0197794i | ||||
\(568\) | −11.7701 | − | 10.5978i | −0.493861 | − | 0.444675i | ||||
\(569\) | 16.9762 | + | 18.8540i | 0.711680 | + | 0.790401i | 0.985190 | − | 0.171469i | \(-0.0548512\pi\) |
−0.273510 | + | 0.961869i | \(0.588185\pi\) | |||||||
\(570\) | −0.0788365 | + | 0.205376i | −0.00330210 | + | 0.00860226i | ||||
\(571\) | 10.2177 | 0.427596 | 0.213798 | − | 0.976878i | \(-0.431417\pi\) | ||||
0.213798 | + | 0.976878i | \(0.431417\pi\) | |||||||
\(572\) | 15.6038 | + | 11.8432i | 0.652426 | + | 0.495190i | ||||
\(573\) | −18.9332 | −0.790946 | ||||||||
\(574\) | −2.76574 | + | 7.20500i | −0.115440 | + | 0.300731i | ||||
\(575\) | 11.9394 | + | 13.2600i | 0.497906 | + | 0.552980i | ||||
\(576\) | −0.429054 | − | 0.386322i | −0.0178773 | − | 0.0160968i | ||||
\(577\) | 2.28777 | + | 0.362347i | 0.0952411 | + | 0.0150847i | 0.203873 | − | 0.978997i | \(-0.434647\pi\) |
−0.108632 | + | 0.994082i | \(0.534647\pi\) | |||||||
\(578\) | 1.59777 | − | 0.613326i | 0.0664584 | − | 0.0255110i | ||||
\(579\) | 20.1991 | − | 1.05859i | 0.839445 | − | 0.0439935i | ||||
\(580\) | −0.316539 | + | 0.161284i | −0.0131435 | + | 0.00669697i | ||||
\(581\) | 2.05835 | − | 19.5839i | 0.0853947 | − | 0.812477i | ||||
\(582\) | −2.00709 | + | 3.47639i | −0.0831967 | + | 0.144101i | ||||
\(583\) | −2.66616 | + | 1.93787i | −0.110421 | + | 0.0802583i | ||||
\(584\) | 8.97077i | 0.371213i | ||||||||
\(585\) | 0.205751 | − | 0.0281494i | 0.00850675 | − | 0.00116383i | ||||
\(586\) | 4.67487 | − | 14.3878i | 0.193117 | − | 0.594353i | ||||
\(587\) | 6.15060 | + | 9.47109i | 0.253862 | + | 0.390914i | 0.942508 | − | 0.334185i | \(-0.108461\pi\) |
−0.688645 | + | 0.725098i | \(0.741794\pi\) | |||||||
\(588\) | 0.353514 | + | 3.36346i | 0.0145787 | + | 0.138707i | ||||
\(589\) | 14.0894 | + | 6.27299i | 0.580543 | + | 0.258474i | ||||
\(590\) | 0.299013 | + | 0.152355i | 0.0123102 | + | 0.00627235i | ||||
\(591\) | −7.69627 | + | 11.8512i | −0.316582 | + | 0.487494i | ||||
\(592\) | −1.80811 | − | 2.23283i | −0.0743130 | − | 0.0917689i | ||||
\(593\) | 2.61305 | + | 2.61305i | 0.107305 | + | 0.107305i | 0.758721 | − | 0.651416i | \(-0.225825\pi\) |
−0.651416 | + | 0.758721i | \(0.725825\pi\) | |||||||
\(594\) | 1.99240 | + | 0.104030i | 0.0817493 | + | 0.00426841i | ||||
\(595\) | 0.565008 | + | 0.326207i | 0.0231631 | + | 0.0133732i | ||||
\(596\) | 12.2848 | + | 4.71568i | 0.503204 | + | 0.193162i | ||||
\(597\) | −20.1099 | − | 6.53412i | −0.823045 | − | 0.267424i | ||||
\(598\) | −6.82525 | − | 3.66113i | −0.279105 | − | 0.149715i | ||||
\(599\) | −4.29874 | + | 3.12322i | −0.175642 | + | 0.127611i | −0.672133 | − | 0.740431i | \(-0.734622\pi\) |
0.496491 | + | 0.868042i | \(0.334622\pi\) | |||||||
\(600\) | 8.49837 | + | 6.88184i | 0.346944 | + | 0.280950i | ||||
\(601\) | 4.12678 | − | 19.4150i | 0.168335 | − | 0.791954i | −0.810246 | − | 0.586090i | \(-0.800666\pi\) |
0.978581 | − | 0.205864i | \(-0.0660003\pi\) | |||||||
\(602\) | −10.3458 | + | 2.19907i | −0.421665 | + | 0.0896276i | ||||
\(603\) | 1.18992 | + | 7.51284i | 0.0484571 | + | 0.305946i | ||||
\(604\) | −36.6512 | − | 9.82066i | −1.49132 | − | 0.399597i | ||||
\(605\) | −0.448170 | − | 0.447823i | −0.0182207 | − | 0.0182066i | ||||
\(606\) | −0.303234 | + | 0.303234i | −0.0123180 | + | 0.0123180i | ||||
\(607\) | −32.7455 | − | 3.44169i | −1.32910 | − | 0.139694i | −0.586784 | − | 0.809744i | \(-0.699606\pi\) |
−0.742316 | + | 0.670050i | \(0.766273\pi\) | |||||||
\(608\) | −26.2156 | + | 23.6047i | −1.06318 | + | 0.957296i | ||||
\(609\) | −9.50742 | + | 6.17419i | −0.385260 | + | 0.250191i | ||||
\(610\) | −0.0402049 | − | 0.0553373i | −0.00162785 | − | 0.00224054i | ||||
\(611\) | −24.3650 | + | 28.8223i | −0.985701 | + | 1.16602i | ||||
\(612\) | −5.86153 | + | 1.90453i | −0.236938 | + | 0.0769859i | ||||
\(613\) | 3.01804 | + | 0.158169i | 0.121898 | + | 0.00638838i | 0.113187 | − | 0.993574i | \(-0.463894\pi\) |
0.00871037 | + | 0.999962i | \(0.497227\pi\) | |||||||
\(614\) | 9.28271 | − | 4.13293i | 0.374620 | − | 0.166791i | ||||
\(615\) | 0.122717 | + | 0.212552i | 0.00494842 | + | 0.00857092i | ||||
\(616\) | −4.54773 | − | 21.3750i | −0.183233 | − | 0.861224i | ||||
\(617\) | −9.35732 | + | 34.9220i | −0.376711 | + | 1.40591i | 0.474116 | + | 0.880462i | \(0.342768\pi\) |
−0.850828 | + | 0.525444i | \(0.823899\pi\) | |||||||
\(618\) | 3.96561 | − | 3.21129i | 0.159520 | − | 0.129177i | ||||
\(619\) | 14.7074 | + | 28.8649i | 0.591139 | + | 1.16018i | 0.971876 | + | 0.235493i | \(0.0756704\pi\) |
−0.380737 | + | 0.924683i | \(0.624330\pi\) | |||||||
\(620\) | −0.153352 | + | 0.170315i | −0.00615878 | + | 0.00684002i | ||||
\(621\) | 3.55142 | − | 0.373270i | 0.142514 | − | 0.0149788i | ||||
\(622\) | 7.26433 | − | 8.97070i | 0.291273 | − | 0.359692i | ||||
\(623\) | −12.3288 | − | 37.9441i | −0.493942 | − | 1.52020i | ||||
\(624\) | 6.67261 | + | 2.32490i | 0.267118 | + | 0.0930703i | ||||
\(625\) | 20.1852 | + | 14.6654i | 0.807407 | + | 0.586616i | ||||
\(626\) | 3.04225 | + | 11.3538i | 0.121593 | + | 0.453790i | ||||
\(627\) | −3.29023 | + | 20.7998i | −0.131399 | + | 0.830663i | ||||
\(628\) | −19.1030 | + | 11.0291i | −0.762293 | + | 0.440110i | ||||
\(629\) | −5.44783 | + | 0.862852i | −0.217219 | + | 0.0344042i | ||||
\(630\) | −0.0874849 | − | 0.0568134i | −0.00348548 | − | 0.00226350i | ||||
\(631\) | 1.46407 | + | 27.9362i | 0.0582839 | + | 1.11212i | 0.858634 | + | 0.512590i | \(0.171314\pi\) |
−0.800350 | + | 0.599533i | \(0.795353\pi\) | |||||||
\(632\) | −0.832204 | + | 5.25433i | −0.0331033 | + | 0.209006i | ||||
\(633\) | 1.43934 | − | 3.23281i | 0.0572087 | − | 0.128493i | ||||
\(634\) | −8.89263 | − | 1.89019i | −0.353172 | − | 0.0750689i | ||||
\(635\) | 0.0494606 | − | 0.943765i | 0.00196279 | − | 0.0374522i | ||||
\(636\) | −0.956890 | + | 1.31705i | −0.0379432 | + | 0.0522243i | ||||
\(637\) | −3.58498 | − | 6.52362i | −0.142042 | − | 0.258475i | ||||
\(638\) | 5.83716 | − | 4.72871i | 0.231095 | − | 0.187212i | ||||
\(639\) | −6.99034 | + | 1.87306i | −0.276534 | + | 0.0740970i | ||||
\(640\) | −0.268451 | − | 0.602950i | −0.0106114 | − | 0.0238337i | ||||
\(641\) | 3.83170 | + | 18.0267i | 0.151343 | + | 0.712014i | 0.986732 | + | 0.162355i | \(0.0519089\pi\) |
−0.835389 | + | 0.549659i | \(0.814758\pi\) | |||||||
\(642\) | 0.0351596 | − | 0.0690046i | 0.00138764 | − | 0.00272340i | ||||
\(643\) | −6.30098 | − | 16.4146i | −0.248486 | − | 0.647329i | 0.751436 | − | 0.659806i | \(-0.229362\pi\) |
−0.999922 | + | 0.0124770i | \(0.996028\pi\) | |||||||
\(644\) | −6.31161 | − | 16.4423i | −0.248712 | − | 0.647918i | ||||
\(645\) | −0.152707 | + | 0.299705i | −0.00601284 | + | 0.0118009i | ||||
\(646\) | 2.98768 | + | 14.0559i | 0.117549 | + | 0.553023i | ||||
\(647\) | 16.4945 | + | 37.0472i | 0.648464 | + | 1.45647i | 0.875808 | + | 0.482660i | \(0.160329\pi\) |
−0.227344 | + | 0.973815i | \(0.573004\pi\) | |||||||
\(648\) | 2.11395 | − | 0.566432i | 0.0830439 | − | 0.0222515i | ||||
\(649\) | 31.0315 | + | 8.30842i | 1.21809 | + | 0.326134i | ||||
\(650\) | −10.4066 | − | 3.02528i | −0.408180 | − | 0.118661i | ||||
\(651\) | −4.29857 | + | 5.91647i | −0.168474 | + | 0.231885i | ||||
\(652\) | −0.437995 | + | 8.35744i | −0.0171532 | + | 0.327303i | ||||
\(653\) | −1.85661 | − | 0.394635i | −0.0726549 | − | 0.0154433i | 0.171441 | − | 0.985194i | \(-0.445158\pi\) |
−0.244096 | + | 0.969751i | \(0.578491\pi\) | |||||||
\(654\) | −2.08424 | + | 4.68128i | −0.0815003 | + | 0.183053i | ||||
\(655\) | 0.133392 | − | 0.842207i | 0.00521207 | − | 0.0329077i | ||||
\(656\) | 0.437061 | + | 8.33962i | 0.0170644 | + | 0.325607i | ||||
\(657\) | 3.43772 | + | 2.23248i | 0.134118 | + | 0.0870973i | ||||
\(658\) | 18.7243 | − | 2.96564i | 0.729949 | − | 0.115613i | ||||
\(659\) | 39.8447 | − | 23.0043i | 1.55213 | − | 0.896122i | 0.554160 | − | 0.832410i | \(-0.313040\pi\) |
0.997968 | − | 0.0637116i | \(-0.0202938\pi\) | |||||||
\(660\) | −0.278848 | − | 0.142012i | −0.0108541 | − | 0.00552781i | ||||
\(661\) | 10.8706 | + | 40.5698i | 0.422819 | + | 1.57798i | 0.768640 | + | 0.639682i | \(0.220934\pi\) |
−0.345820 | + | 0.938301i | \(0.612399\pi\) | |||||||
\(662\) | −5.48139 | − | 3.98246i | −0.213040 | − | 0.154783i | ||||
\(663\) | 10.2703 | − | 8.86206i | 0.398864 | − | 0.344174i | ||||
\(664\) | 4.42329 | + | 13.6135i | 0.171657 | + | 0.528306i | ||||
\(665\) | 0.692900 | − | 0.855660i | 0.0268695 | − | 0.0331811i | ||||
\(666\) | 0.877074 | − | 0.0921842i | 0.0339859 | − | 0.00357206i | ||||
\(667\) | 8.99700 | − | 9.99218i | 0.348365 | − | 0.386899i | ||||
\(668\) | 0.747789 | + | 1.46762i | 0.0289328 | + | 0.0567839i | ||||
\(669\) | 5.78159 | − | 4.68184i | 0.223529 | − | 0.181010i | ||||
\(670\) | −0.0682102 | + | 0.254564i | −0.00263519 | + | 0.00983466i | ||||
\(671\) | −4.86672 | − | 4.38031i | −0.187878 | − | 0.169100i | ||||
\(672\) | −8.36374 | − | 14.4864i | −0.322638 | − | 0.558826i | ||||
\(673\) | 32.1387 | − | 14.3091i | 1.23886 | − | 0.551575i | 0.320470 | − | 0.947259i | \(-0.396159\pi\) |
0.918387 | + | 0.395684i | \(0.129492\pi\) | |||||||
\(674\) | −17.1396 | − | 0.898249i | −0.660193 | − | 0.0345993i | ||||
\(675\) | 4.75213 | − | 1.54406i | 0.182909 | − | 0.0594309i | ||||
\(676\) | −21.2542 | + | 1.33009i | −0.817469 | + | 0.0511571i | ||||
\(677\) | 15.7561 | + | 21.6864i | 0.605555 | + | 0.833474i | 0.996203 | − | 0.0870657i | \(-0.0277490\pi\) |
−0.390648 | + | 0.920540i | \(0.627749\pi\) | |||||||
\(678\) | −1.94973 | + | 1.26617i | −0.0748790 | + | 0.0486270i | ||||
\(679\) | 14.9304 | − | 13.4434i | 0.572976 | − | 0.515910i | ||||
\(680\) | −0.471646 | − | 0.0495720i | −0.0180868 | − | 0.00190100i | ||||
\(681\) | −17.4342 | + | 17.4342i | −0.668081 | + | 0.668081i | ||||
\(682\) | 2.42228 | − | 4.19740i | 0.0927541 | − | 0.160727i | ||||
\(683\) | 47.6415 | + | 12.7655i | 1.82295 | + | 0.488458i | 0.997146 | − | 0.0754963i | \(-0.0240541\pi\) |
0.825806 | + | 0.563955i | \(0.190721\pi\) | |||||||
\(684\) | 1.62709 | + | 10.2730i | 0.0622134 | + | 0.392800i | ||||
\(685\) | 0.146793 | − | 0.0312018i | 0.00560868 | − | 0.00119216i | ||||
\(686\) | 1.85846 | − | 8.74335i | 0.0709562 | − | 0.333823i | ||||
\(687\) | −16.8836 | − | 13.6721i | −0.644150 | − | 0.521622i | ||||
\(688\) | −9.25930 | + | 6.72727i | −0.353007 | + | 0.256475i | ||||
\(689\) | 0.818797 | − | 3.48834i | 0.0311937 | − | 0.132895i | ||||
\(690\) | 0.117669 | + | 0.0382331i | 0.00447960 | + | 0.00145551i | ||||
\(691\) | −4.17544 | − | 1.60280i | −0.158841 | − | 0.0609735i | 0.277648 | − | 0.960683i | \(-0.410445\pi\) |
−0.436489 | + | 0.899709i | \(0.643778\pi\) | |||||||
\(692\) | 20.1947 | + | 11.6594i | 0.767687 | + | 0.443224i | ||||
\(693\) | −9.32294 | − | 3.57667i | −0.354149 | − | 0.135866i | ||||
\(694\) | 11.2036 | + | 11.2036i | 0.425283 | + | 0.425283i | ||||
\(695\) | 0.626584 | + | 0.773767i | 0.0237677 | + | 0.0293506i | ||||
\(696\) | 4.48806 | − | 6.91101i | 0.170119 | − | 0.261961i | ||||
\(697\) | 14.2848 | + | 7.27844i | 0.541074 | + | 0.275691i | ||||
\(698\) | −4.79888 | − | 2.13660i | −0.181640 | − | 0.0808715i | ||||
\(699\) | −1.86453 | − | 17.7398i | −0.0705230 | − | 0.670981i | ||||
\(700\) | −13.4219 | − | 20.6679i | −0.507299 | − | 0.781173i | ||||
\(701\) | 6.37499 | − | 19.6202i | 0.240780 | − | 0.741045i | −0.755522 | − | 0.655124i | \(-0.772617\pi\) |
0.996302 | − | 0.0859217i | \(-0.0273835\pi\) | |||||||
\(702\) | −1.71401 | + | 1.32906i | −0.0646910 | + | 0.0501622i | ||||
\(703\) | 9.30848i | 0.351076i | ||||||||
\(704\) | −1.12582 | − | 1.54893i | −0.0424310 | − | 0.0583774i | ||||
\(705\) | 0.301445 | − | 0.522117i | 0.0113531 | − | 0.0196641i | ||||
\(706\) | −2.12810 | + | 20.2475i | −0.0800921 | + | 0.762026i | ||||
\(707\) | 1.91238 | − | 0.974405i | 0.0719224 | − | 0.0366463i | ||||
\(708\) | 15.8451 | − | 0.830407i | 0.595495 | − | 0.0312086i | ||||
\(709\) | −7.54823 | + | 2.89750i | −0.283480 | + | 0.108818i | −0.495954 | − | 0.868349i | \(-0.665181\pi\) |
0.212474 | + | 0.977167i | \(0.431848\pi\) | |||||||
\(710\) | −0.247653 | − | 0.0392244i | −0.00929425 | − | 0.00147206i | ||||
\(711\) | 1.80642 | + | 1.62651i | 0.0677462 | + | 0.0609990i | ||||
\(712\) | 19.4056 | + | 21.5521i | 0.727256 | + | 0.807699i | ||||
\(713\) | 3.10849 | − | 8.09790i | 0.116414 | − | 0.303269i | ||||
\(714\) | −6.81395 | −0.255006 | ||||||||
\(715\) | 0.686907 | + | 0.0504246i | 0.0256889 | + | 0.00188577i | ||||
\(716\) | −33.5037 | −1.25209 | ||||||||
\(717\) | 8.03200 | − | 20.9241i | 0.299961 | − | 0.781424i | ||||
\(718\) | −6.22502 | − | 6.91359i | −0.232316 | − | 0.258013i | ||||
\(719\) | −25.0034 | − | 22.5132i | −0.932471 | − | 0.839600i | 0.0548246 | − | 0.998496i | \(-0.482540\pi\) |
−0.987295 | + | 0.158896i | \(0.949207\pi\) | |||||||
\(720\) | −0.111486 | − | 0.0176577i | −0.00415484 | − | 0.000658063i | ||||
\(721\) | −23.8429 | + | 9.15244i | −0.887957 | + | 0.340855i | ||||
\(722\) | 12.8040 | − | 0.671029i | 0.476516 | − | 0.0249731i | ||||
\(723\) | −23.6561 | + | 12.0534i | −0.879780 | + | 0.448270i | ||||
\(724\) | −4.08406 | + | 38.8572i | −0.151783 | + | 1.44412i | ||||
\(725\) | 9.40699 | − | 16.2934i | 0.349367 | − | 0.605121i | ||||
\(726\) | 6.39225 | + | 1.71014i | 0.237239 | + | 0.0634693i | ||||
\(727\) | − | 39.2423i | − | 1.45541i | −0.685888 | − | 0.727707i | \(-0.740586\pi\) | ||
0.685888 | − | 0.727707i | \(-0.259414\pi\) | |||||||
\(728\) | 18.9209 | + | 14.3667i | 0.701257 | + | 0.532467i | ||||
\(729\) | 0.309017 | − | 0.951057i | 0.0114451 | − | 0.0352243i | ||||
\(730\) | 0.0773493 | + | 0.119107i | 0.00286283 | + | 0.00440837i | ||||
\(731\) | 2.29670 | + | 21.8517i | 0.0849466 | + | 0.808213i | ||||
\(732\) | −2.95441 | − | 1.31539i | −0.109198 | − | 0.0486182i | ||||
\(733\) | 10.0550 | + | 5.12325i | 0.371388 | + | 0.189232i | 0.629716 | − | 0.776826i | \(-0.283171\pi\) |
−0.258328 | + | 0.966057i | \(0.583171\pi\) | |||||||
\(734\) | 8.26941 | − | 12.7338i | 0.305230 | − | 0.470012i | ||||
\(735\) | 0.0748324 | + | 0.0924104i | 0.00276024 | + | 0.00340861i | ||||
\(736\) | 14.0291 | + | 14.0291i | 0.517121 | + | 0.517121i | ||||
\(737\) | −1.31544 | + | 25.1935i | −0.0484549 | + | 0.928016i | ||||
\(738\) | −2.21994 | − | 1.28168i | −0.0817170 | − | 0.0471793i | ||||
\(739\) | −31.7502 | − | 12.1878i | −1.16795 | − | 0.448335i | −0.304375 | − | 0.952552i | \(-0.598448\pi\) |
−0.863577 | + | 0.504218i | \(0.831781\pi\) | |||||||
\(740\) | −0.131554 | − | 0.0427444i | −0.00483601 | − | 0.00157131i | ||||
\(741\) | −12.0603 | − | 19.4585i | −0.443046 | − | 0.714826i | ||||
\(742\) | −1.45612 | + | 1.05793i | −0.0534557 | + | 0.0388378i | ||||
\(743\) | −30.9516 | − | 25.0641i | −1.13550 | − | 0.919512i | −0.138021 | − | 0.990429i | \(-0.544074\pi\) |
−0.997482 | + | 0.0709172i | \(0.977407\pi\) | |||||||
\(744\) | 1.10526 | − | 5.19982i | 0.0405206 | − | 0.190635i | ||||
\(745\) | 0.452550 | − | 0.0961925i | 0.0165801 | − | 0.00352422i | ||||
\(746\) | 1.64218 | + | 10.3683i | 0.0601243 | + | 0.379610i | ||||
\(747\) | 6.31765 | + | 1.69281i | 0.231151 | + | 0.0619367i | ||||
\(748\) | −20.3285 | + | 2.14060i | −0.743285 | + | 0.0782681i | ||||
\(749\) | −0.274084 | + | 0.274084i | −0.0100148 | + | 0.0100148i | ||||
\(750\) | 0.344460 | + | 0.0362042i | 0.0125779 | + | 0.00132199i | ||||
\(751\) | 28.8237 | − | 25.9530i | 1.05179 | − | 0.947038i | 0.0531216 | − | 0.998588i | \(-0.483083\pi\) |
0.998670 | + | 0.0515503i | \(0.0164163\pi\) | |||||||
\(752\) | 17.2043 | − | 11.1726i | 0.627375 | − | 0.407422i | ||||
\(753\) | −10.7846 | − | 14.8437i | −0.393013 | − | 0.540936i | ||||
\(754\) | −1.44752 | + | 8.03731i | −0.0527157 | + | 0.292702i | ||||
\(755\) | −1.26881 | + | 0.412262i | −0.0461768 | + | 0.0150038i | ||||
\(756\) | −4.92524 | − | 0.258121i | −0.179129 | − | 0.00938776i | ||||
\(757\) | 4.30311 | − | 1.91587i | 0.156399 | − | 0.0696334i | −0.327044 | − | 0.945009i | \(-0.606053\pi\) |
0.483443 | + | 0.875376i | \(0.339386\pi\) | |||||||
\(758\) | −7.27721 | − | 12.6045i | −0.264320 | − | 0.457816i | ||||
\(759\) | 11.7790 | + | 1.23571i | 0.427550 | + | 0.0448535i | ||||
\(760\) | −0.207144 | + | 0.773074i | −0.00751392 | + | 0.0280423i | ||||
\(761\) | −14.9940 | + | 12.1419i | −0.543533 | + | 0.440144i | −0.861353 | − | 0.508007i | \(-0.830383\pi\) |
0.317820 | + | 0.948151i | \(0.397049\pi\) | |||||||
\(762\) | 4.48107 | + | 8.79460i | 0.162332 | + | 0.318595i | ||||
\(763\) | 17.1611 | − | 19.0594i | 0.621275 | − | 0.689996i | ||||
\(764\) | −30.8453 | + | 3.24197i | −1.11594 | + | 0.117290i | ||||
\(765\) | −0.136371 | + | 0.168404i | −0.00493051 | + | 0.00608868i | ||||
\(766\) | 3.44680 | + | 10.6082i | 0.124538 | + | 0.383289i | ||||
\(767\) | −31.4444 | + | 15.1944i | −1.13539 | + | 0.548636i | ||||
\(768\) | 4.64262 | + | 3.37306i | 0.167526 | + | 0.121715i | ||||
\(769\) | 4.31710 | + | 16.1116i | 0.155679 | + | 0.581000i | 0.999046 | + | 0.0436634i | \(0.0139029\pi\) |
−0.843368 | + | 0.537337i | \(0.819430\pi\) | |||||||
\(770\) | −0.244685 | − | 0.244590i | −0.00881783 | − | 0.00881441i | ||||
\(771\) | 10.0288 | − | 5.79011i | 0.361177 | − | 0.208526i | ||||
\(772\) | 32.7263 | − | 5.18334i | 1.17785 | − | 0.186553i | ||||
\(773\) | −25.3759 | − | 16.4793i | −0.912709 | − | 0.592720i | 0.000594401 | − | 1.00000i | \(-0.499811\pi\) |
−0.913304 | + | 0.407280i | \(0.866477\pi\) | |||||||
\(774\) | −0.183861 | − | 3.50827i | −0.00660873 | − | 0.126102i | ||||
\(775\) | 1.89866 | − | 11.9877i | 0.0682018 | − | 0.430609i | ||||
\(776\) | −5.94005 | + | 13.3416i | −0.213235 | + | 0.478934i | ||||
\(777\) | −4.31744 | − | 0.917701i | −0.154887 | − | 0.0329223i | ||||
\(778\) | −0.188248 | + | 3.59198i | −0.00674901 | + | 0.128779i | ||||
\(779\) | 15.9032 | − | 21.8889i | 0.569792 | − | 0.784252i | ||||
\(780\) | 0.330382 | − | 0.0810911i | 0.0118296 | − | 0.00290353i | ||||
\(781\) | −23.9691 | + | 1.26082i | −0.857680 | + | 0.0451158i | ||||
\(782\) | 7.80654 | − | 2.09175i | 0.279161 | − | 0.0748010i | ||||
\(783\) | −1.53148 | − | 3.43977i | −0.0547307 | − | 0.122927i | ||||
\(784\) | 0.841210 | + | 3.95758i | 0.0300432 | + | 0.141342i | ||||
\(785\) | −0.352099 | + | 0.691032i | −0.0125669 | + | 0.0246640i | ||||
\(786\) | 3.19156 | + | 8.31431i | 0.113839 | + | 0.296561i | ||||
\(787\) | 4.14412 | + | 10.7958i | 0.147722 | + | 0.384828i | 0.987398 | − | 0.158260i | \(-0.0505883\pi\) |
−0.839676 | + | 0.543088i | \(0.817255\pi\) | |||||||
\(788\) | −10.5092 | + | 20.6254i | −0.374374 | + | 0.734750i | ||||
\(789\) | 1.11005 | + | 5.22239i | 0.0395189 | + | 0.185922i | ||||
\(790\) | 0.0342554 | + | 0.0769388i | 0.00121875 | + | 0.00273736i | ||||
\(791\) | 11.2390 | − | 3.01148i | 0.399613 | − | 0.107076i | ||||
\(792\) | 7.24849 | − | 0.381286i | 0.257564 | − | 0.0135484i | ||||
\(793\) | 7.11649 | + | 0.150256i | 0.252714 | + | 0.00533576i | ||||
\(794\) | 11.0067 | − | 15.1494i | 0.390612 | − | 0.537631i | ||||
\(795\) | −0.00299564 | + | 0.0571603i | −0.000106245 | + | 0.00202727i | ||||
\(796\) | −33.8812 | − | 7.20168i | −1.20089 | − | 0.255257i | ||||
\(797\) | 5.53816 | − | 12.4389i | 0.196172 | − | 0.440609i | −0.788498 | − | 0.615037i | \(-0.789141\pi\) |
0.984670 | + | 0.174428i | \(0.0558077\pi\) | |||||||
\(798\) | −1.79890 | + | 11.3578i | −0.0636803 | + | 0.402061i | ||||
\(799\) | −2.06108 | − | 39.3278i | −0.0729158 | − | 1.39132i | ||||
\(800\) | 23.2826 | + | 15.1199i | 0.823164 | + | 0.534569i | ||||
\(801\) | 13.0884 | − | 2.07299i | 0.462454 | − | 0.0732456i | ||||
\(802\) | −4.50133 | + | 2.59885i | −0.158948 | + | 0.0917684i | ||||
\(803\) | 9.61489 | + | 9.61116i | 0.339302 | + | 0.339170i | ||||
\(804\) | 3.22500 | + | 12.0359i | 0.113737 | + | 0.424473i | ||||
\(805\) | −0.500974 | − | 0.363979i | −0.0176570 | − | 0.0128286i | ||||
\(806\) | 0.986332 | + | 5.17522i | 0.0347420 | + | 0.182289i | ||||
\(807\) | 6.59281 | + | 20.2906i | 0.232078 | + | 0.714262i | ||||
\(808\) | −0.981846 | + | 1.21248i | −0.0345412 | + | 0.0426548i | ||||
\(809\) | 16.2740 | − | 1.71047i | 0.572164 | − | 0.0601369i | 0.185972 | − | 0.982555i | \(-0.440457\pi\) |
0.386192 | + | 0.922418i | \(0.373790\pi\) | |||||||
\(810\) | 0.0231835 | − | 0.0257479i | 0.000814587 | − | 0.000904690i | ||||
\(811\) | −10.6016 | − | 20.8068i | −0.372272 | − | 0.730625i | 0.626538 | − | 0.779391i | \(-0.284471\pi\) |
−0.998810 | + | 0.0487660i | \(0.984471\pi\) | |||||||
\(812\) | −14.4319 | + | 11.6867i | −0.506461 | + | 0.410124i | ||||
\(813\) | −3.75988 | + | 14.0321i | −0.131865 | + | 0.492126i | ||||
\(814\) | 2.90898 | + | 0.305176i | 0.101960 | + | 0.0106964i | ||||
\(815\) | 0.147125 | + | 0.254827i | 0.00515355 | + | 0.00892621i | ||||
\(816\) | −6.73579 | + | 2.99897i | −0.235800 | + | 0.104985i | ||||
\(817\) | 37.0297 | + | 1.94064i | 1.29550 | + | 0.0678945i | ||||
\(818\) | 8.12595 | − | 2.64028i | 0.284117 | − | 0.0923153i | ||||
\(819\) | 10.2142 | − | 3.67542i | 0.356914 | − | 0.128430i | ||||
\(820\) | 0.236322 | + | 0.325269i | 0.00825271 | + | 0.0113589i | ||||
\(821\) | −41.8202 | + | 27.1584i | −1.45954 | + | 0.947834i | −0.461375 | + | 0.887205i | \(0.652644\pi\) |
−0.998160 | + | 0.0606286i | \(0.980689\pi\) | |||||||
\(822\) | −1.16480 | + | 1.04879i | −0.0406269 | + | 0.0365807i | ||||
\(823\) | 8.63471 | + | 0.907545i | 0.300987 | + | 0.0316350i | 0.253818 | − | 0.967252i | \(-0.418313\pi\) |
0.0471688 | + | 0.998887i | \(0.484980\pi\) | |||||||
\(824\) | 13.1272 | − | 13.1272i | 0.457307 | − | 0.457307i | ||||
\(825\) | 16.4810 | − | 1.73545i | 0.573795 | − | 0.0604207i | ||||
\(826\) | 16.9445 | + | 4.54027i | 0.589575 | + | 0.157976i | ||||
\(827\) | −6.23502 | − | 39.3664i | −0.216813 | − | 1.36890i | −0.820484 | − | 0.571670i | \(-0.806296\pi\) |
0.603671 | − | 0.797234i | \(-0.293704\pi\) | |||||||
\(828\) | 5.72193 | − | 1.21623i | 0.198851 | − | 0.0422671i | ||||
\(829\) | −5.64476 | + | 26.5565i | −0.196050 | + | 0.922345i | 0.764583 | + | 0.644525i | \(0.222945\pi\) |
−0.960633 | + | 0.277819i | \(0.910388\pi\) | |||||||
\(830\) | 0.176110 | + | 0.142611i | 0.00611286 | + | 0.00495010i | ||||
\(831\) | −19.8042 | + | 14.3886i | −0.687000 | + | 0.499134i | ||||
\(832\) | 2.02658 | + | 0.475687i | 0.0702591 | + | 0.0164915i | ||||
\(833\) | 7.38723 | + | 2.40026i | 0.255952 | + | 0.0831640i | ||||
\(834\) | −9.70811 | − | 3.72659i | −0.336164 | − | 0.129041i | ||||
\(835\) | 0.0501545 | + | 0.0289567i | 0.00173567 | + | 0.00100209i | ||||
\(836\) | −1.79873 | + | 34.4496i | −0.0622104 | + | 1.19146i | ||||
\(837\) | −1.71758 | − | 1.71758i | −0.0593683 | − | 0.0593683i | ||||
\(838\) | −9.68787 | − | 11.9635i | −0.334662 | − | 0.413273i | ||||
\(839\) | 5.09289 | − | 7.84236i | 0.175826 | − | 0.270748i | −0.739760 | − | 0.672871i | \(-0.765061\pi\) |
0.915586 | + | 0.402123i | \(0.131728\pi\) | |||||||
\(840\) | −0.338144 | − | 0.172293i | −0.0116671 | − | 0.00594467i | ||||
\(841\) | 13.5411 | + | 6.02888i | 0.466934 | + | 0.207893i | ||||
\(842\) | 0.873012 | + | 8.30615i | 0.0300860 | + | 0.286249i | ||||
\(843\) | 8.05036 | + | 12.3965i | 0.277269 | + | 0.426957i | ||||
\(844\) | 1.79136 | − | 5.51324i | 0.0616611 | − | 0.189773i | ||||
\(845\) | −0.601263 | + | 0.446226i | −0.0206841 | + | 0.0153507i | ||||
\(846\) | 6.29670i | 0.216485i | ||||||||
\(847\) | −27.7822 | − | 18.0266i | −0.954606 | − | 0.619403i | ||||
\(848\) | −0.973795 | + | 1.68666i | −0.0334403 | + | 0.0579202i | ||||
\(849\) | 1.64054 | − | 15.6087i | 0.0563033 | − | 0.535690i | ||||
\(850\) | 10.0760 | − | 5.13399i | 0.345605 | − | 0.176094i | ||||
\(851\) | 5.22808 | − | 0.273992i | 0.179216 | − | 0.00939233i | ||||
\(852\) | −11.0677 | + | 4.24848i | −0.379172 | + | 0.145551i | ||||
\(853\) | −13.9706 | − | 2.21273i | −0.478344 | − | 0.0757623i | −0.0873936 | − | 0.996174i | \(-0.527854\pi\) |
−0.390951 | + | 0.920412i | \(0.627854\pi\) | |||||||
\(854\) | −2.65711 | − | 2.39247i | −0.0909244 | − | 0.0818687i | ||||
\(855\) | 0.244702 | + | 0.271769i | 0.00836862 | + | 0.00929429i | ||||
\(856\) | 0.100973 | − | 0.263044i | 0.00345119 | − | 0.00899066i | ||||
\(857\) | −16.3588 | −0.558804 | −0.279402 | − | 0.960174i | \(-0.590136\pi\) | ||||
−0.279402 | + | 0.960174i | \(0.590136\pi\) | |||||||
\(858\) | −6.47636 | + | 3.13101i | −0.221099 | + | 0.106891i | ||||
\(859\) | −37.6066 | −1.28312 | −0.641560 | − | 0.767073i | \(-0.721713\pi\) | ||||
−0.641560 | + | 0.767073i | \(0.721713\pi\) | |||||||
\(860\) | −0.197466 | + | 0.514417i | −0.00673353 | + | 0.0175415i | ||||
\(861\) | 8.58462 | + | 9.53419i | 0.292563 | + | 0.324924i | ||||
\(862\) | 6.25172 | + | 5.62907i | 0.212934 | + | 0.191727i | ||||
\(863\) | −25.0709 | − | 3.97085i | −0.853424 | − | 0.135169i | −0.285630 | − | 0.958340i | \(-0.592203\pi\) |
−0.567794 | + | 0.823171i | \(0.692203\pi\) | |||||||
\(864\) | 5.18692 | − | 1.99107i | 0.176463 | − | 0.0677377i | ||||
\(865\) | 0.818762 | − | 0.0429095i | 0.0278387 | − | 0.00145897i | ||||
\(866\) | 4.02488 | − | 2.05078i | 0.136771 | − | 0.0696883i | ||||
\(867\) | 0.297389 | − | 2.82947i | 0.0100999 | − | 0.0960937i | ||||
\(868\) | −5.98998 | + | 10.3749i | −0.203313 | + | 0.352149i | ||||
\(869\) | 4.73999 | + | 6.52138i | 0.160793 | + | 0.221223i | ||||
\(870\) | − | 0.130457i | − | 0.00442291i | ||||||
\(871\) | −16.8057 | − | 21.6733i | −0.569440 | − | 0.734370i | ||||
\(872\) | −5.76098 | + | 17.7305i | −0.195091 | + | 0.600429i | ||||
\(873\) | 3.63441 | + | 5.59650i | 0.123006 | + | 0.189413i | ||||
\(874\) | −1.42569 | − | 13.5645i | −0.0482246 | − | 0.458826i | ||||
\(875\) | −1.58364 | − | 0.705080i | −0.0535367 | − | 0.0238361i | ||||
\(876\) | 5.98287 | + | 3.04843i | 0.202143 | + | 0.102997i | ||||
\(877\) | 18.1218 | − | 27.9052i | 0.611931 | − | 0.942291i | −0.387858 | − | 0.921719i | \(-0.626785\pi\) |
0.999788 | − | 0.0205714i | \(-0.00654855\pi\) | |||||||
\(878\) | 3.78787 | + | 4.67763i | 0.127834 | + | 0.157862i | ||||
\(879\) | −17.7828 | − | 17.7828i | −0.599798 | − | 0.599798i | ||||
\(880\) | −0.349528 | − | 0.134093i | −0.0117826 | − | 0.00452029i | ||||
\(881\) | 12.9552 | + | 7.47971i | 0.436473 | + | 0.251998i | 0.702100 | − | 0.712078i | \(-0.252246\pi\) |
−0.265627 | + | 0.964076i | \(0.585579\pi\) | |||||||
\(882\) | −1.15943 | − | 0.445064i | −0.0390401 | − | 0.0149861i | ||||
\(883\) | 28.0180 | + | 9.10360i | 0.942881 | + | 0.306360i | 0.739819 | − | 0.672806i | \(-0.234911\pi\) |
0.203061 | + | 0.979166i | \(0.434911\pi\) | |||||||
\(884\) | 15.2145 | − | 16.1963i | 0.511718 | − | 0.544742i | ||||
\(885\) | 0.451331 | − | 0.327911i | 0.0151713 | − | 0.0110226i | ||||
\(886\) | −17.7611 | − | 14.3826i | −0.596695 | − | 0.483194i | ||||
\(887\) | 1.01670 | − | 4.78318i | 0.0341373 | − | 0.160604i | −0.957777 | − | 0.287512i | \(-0.907172\pi\) |
0.991914 | + | 0.126908i | \(0.0405053\pi\) | |||||||
\(888\) | 3.13838 | − | 0.667083i | 0.105317 | − | 0.0223858i | ||||
\(889\) | −7.72801 | − | 48.7928i | −0.259189 | − | 1.63646i | ||||
\(890\) | 0.443484 | + | 0.118831i | 0.0148656 | + | 0.00398323i | ||||
\(891\) | 1.65776 | − | 2.87260i | 0.0555369 | − | 0.0962358i | ||||
\(892\) | 8.61747 | − | 8.61747i | 0.288534 | − | 0.288534i | ||||
\(893\) | −66.0973 | − | 6.94711i | −2.21186 | − | 0.232476i | ||||
\(894\) | −3.59096 | + | 3.23332i | −0.120100 | + | 0.108138i | ||||
\(895\) | −0.987940 | + | 0.641576i | −0.0330232 | + | 0.0214455i | ||||
\(896\) | −20.2790 | − | 27.9116i | −0.677472 | − | 0.932460i | ||||
\(897\) | −10.5738 | + | 7.34639i | −0.353050 | + | 0.245289i | ||||
\(898\) | 4.45798 | − | 1.44849i | 0.148765 | − | 0.0483366i | ||||
\(899\) | −9.13347 | − | 0.478665i | −0.304618 | − | 0.0159644i | ||||
\(900\) | 7.47760 | − | 3.32924i | 0.249253 | − | 0.110975i | ||||
\(901\) | 1.86947 | + | 3.23801i | 0.0622809 | + | 0.107874i | ||||
\(902\) | −6.31910 | − | 5.68753i | −0.210403 | − | 0.189374i | ||||
\(903\) | −4.55077 | + | 16.9837i | −0.151440 | + | 0.565183i | ||||
\(904\) | −6.57302 | + | 5.32273i | −0.218615 | + | 0.177031i | ||||
\(905\) | 0.623664 | + | 1.22401i | 0.0207313 | + | 0.0406874i | ||||
\(906\) | 9.32346 | − | 10.3548i | 0.309751 | − | 0.344014i | ||||
\(907\) | 29.5272 | − | 3.10344i | 0.980436 | − | 0.103048i | 0.399270 | − | 0.916833i | \(-0.369263\pi\) |
0.581166 | + | 0.813785i | \(0.302597\pi\) | |||||||
\(908\) | −25.4179 | + | 31.3885i | −0.843523 | + | 1.04166i | ||||
\(909\) | 0.220294 | + | 0.677995i | 0.00730669 | + | 0.0224877i | ||||
\(910\) | 0.375094 | + | 0.0276081i | 0.0124342 | + | 0.000915198i | ||||
\(911\) | −28.8667 | − | 20.9728i | −0.956395 | − | 0.694862i | −0.00408416 | − | 0.999992i | \(-0.501300\pi\) |
−0.952311 | + | 0.305130i | \(0.901300\pi\) | |||||||
\(912\) | 3.22055 | + | 12.0192i | 0.106643 | + | 0.397997i | ||||
\(913\) | 19.3300 | + | 9.84441i | 0.639730 | + | 0.325802i | ||||
\(914\) | −1.11877 | + | 0.645920i | −0.0370055 | + | 0.0213651i | ||||
\(915\) | −0.112307 | + | 0.0177877i | −0.00371276 | + | 0.000588044i | ||||
\(916\) | −29.8472 | − | 19.3830i | −0.986181 | − | 0.640433i | ||||
\(917\) | −2.33279 | − | 44.5122i | −0.0770354 | − | 1.46992i | ||||
\(918\) | 0.354045 | − | 2.23535i | 0.0116852 | − | 0.0737777i | ||||
\(919\) | −0.293506 | + | 0.659226i | −0.00968187 | + | 0.0217458i | −0.918322 | − | 0.395835i | \(-0.870455\pi\) |
0.908640 | + | 0.417581i | \(0.137122\pi\) | |||||||
\(920\) | 0.440292 | + | 0.0935869i | 0.0145160 | + | 0.00308547i | ||||
\(921\) | 0.884041 | − | 16.8685i | 0.0291301 | − | 0.555836i | ||||
\(922\) | −4.20835 | + | 5.79229i | −0.138594 | + | 0.190759i | ||||
\(923\) | 18.8360 | − | 18.0570i | 0.619994 | − | 0.594355i | ||||
\(924\) | −15.8010 | − | 4.23059i | −0.519816 | − | 0.139176i | ||||
\(925\) | 7.07579 | − | 1.89595i | 0.232651 | − | 0.0623386i | ||||
\(926\) | 6.72718 | + | 15.1095i | 0.221069 | + | 0.496529i | ||||
\(927\) | −1.76366 | − | 8.29735i | −0.0579261 | − | 0.272521i | ||||
\(928\) | 9.49737 | − | 18.6396i | 0.311767 | − | 0.611876i | ||||
\(929\) | −8.07996 | − | 21.0490i | −0.265095 | − | 0.690596i | −0.999924 | − | 0.0123433i | \(-0.996071\pi\) |
0.734829 | − | 0.678252i | \(-0.237262\pi\) | |||||||
\(930\) | −0.0301600 | − | 0.0785694i | −0.000988984 | − | 0.00257639i | ||||
\(931\) | 5.95110 | − | 11.6797i | 0.195039 | − | 0.382786i | ||||
\(932\) | −6.07525 | − | 28.5818i | −0.199001 | − | 0.936227i | ||||
\(933\) | −7.80485 | − | 17.5300i | −0.255519 | − | 0.573906i | ||||
\(934\) | −17.4282 | + | 4.66988i | −0.570269 | + | 0.152803i | ||||
\(935\) | −0.558447 | + | 0.452400i | −0.0182632 | + | 0.0147951i | ||||
\(936\) | −5.69620 | + | 5.46064i | −0.186186 | + | 0.178487i | ||||
\(937\) | 19.9098 | − | 27.4035i | 0.650426 | − | 0.895234i | −0.348692 | − | 0.937237i | \(-0.613374\pi\) |
0.999117 | + | 0.0420033i | \(0.0133740\pi\) | |||||||
\(938\) | −0.720990 | + | 13.7573i | −0.0235411 | + | 0.449192i | ||||
\(939\) | 19.1131 | + | 4.06261i | 0.623731 | + | 0.132578i | ||||
\(940\) | 0.401699 | − | 0.902231i | 0.0131020 | − | 0.0294275i | ||||
\(941\) | −0.298241 | + | 1.88302i | −0.00972239 | + | 0.0613848i | −0.992073 | − | 0.125667i | \(-0.959893\pi\) |
0.982350 | + | 0.187051i | \(0.0598931\pi\) | |||||||
\(942\) | −0.423929 | − | 8.08905i | −0.0138124 | − | 0.263555i | ||||
\(943\) | −12.7620 | − | 8.28771i | −0.415586 | − | 0.269885i | ||||
\(944\) | 18.7484 | − | 2.96946i | 0.610209 | − | 0.0966476i | ||||
\(945\) | −0.150176 | + | 0.0867041i | −0.00488522 | + | 0.00282048i | ||||
\(946\) | 1.82048 | − | 11.5085i | 0.0591888 | − | 0.374173i | ||||
\(947\) | 7.98546 | + | 29.8022i | 0.259493 | + | 0.968440i | 0.965536 | + | 0.260271i | \(0.0838119\pi\) |
−0.706043 | + | 0.708169i | \(0.749521\pi\) | |||||||
\(948\) | 3.22147 | + | 2.34054i | 0.104629 | + | 0.0760171i | ||||
\(949\) | −14.7393 | − | 1.08486i | −0.478458 | − | 0.0352160i | ||||
\(950\) | −5.89747 | − | 18.1505i | −0.191339 | − | 0.588881i | ||||
\(951\) | −9.51099 | + | 11.7451i | −0.308415 | + | 0.380861i | ||||
\(952\) | −24.6543 | + | 2.59127i | −0.799050 | + | 0.0839835i | ||||
\(953\) | −15.1833 | + | 16.8628i | −0.491836 | + | 0.546240i | −0.937055 | − | 0.349182i | \(-0.886459\pi\) |
0.445218 | + | 0.895422i | \(0.353126\pi\) | |||||||
\(954\) | −0.271402 | − | 0.532655i | −0.00878695 | − | 0.0172454i | ||||
\(955\) | −0.847469 | + | 0.686267i | −0.0274235 | + | 0.0222071i | ||||
\(956\) | 9.50257 | − | 35.4641i | 0.307335 | − | 1.14699i | ||||
\(957\) | −2.59878 | − | 12.2147i | −0.0840067 | − | 0.394844i | ||||
\(958\) | −5.56646 | − | 9.64140i | −0.179844 | − | 0.311499i | ||||
\(959\) | 7.16650 | − | 3.19073i | 0.231418 | − | 0.103034i | ||||
\(960\) | −0.0332078 | − | 0.00174035i | −0.00107178 | − | 5.61694e-5i | ||||
\(961\) | 23.8713 | − | 7.75627i | 0.770044 | − | 0.250202i | ||||
\(962\) | −2.61136 | + | 1.81429i | −0.0841935 | + | 0.0584952i | ||||
\(963\) | −0.0756735 | − | 0.104156i | −0.00243855 | − | 0.00335637i | ||||
\(964\) | −36.4757 | + | 23.6876i | −1.17480 | + | 0.762926i | ||||
\(965\) | 0.865760 | − | 0.779534i | 0.0278698 | − | 0.0250941i | ||||
\(966\) | 6.43202 | + | 0.676033i | 0.206947 | + | 0.0217510i | ||||
\(967\) | 7.78332 | − | 7.78332i | 0.250295 | − | 0.250295i | −0.570797 | − | 0.821091i | \(-0.693366\pi\) |
0.821091 | + | 0.570797i | \(0.193366\pi\) | |||||||
\(968\) | 23.7788 | + | 3.75675i | 0.764281 | + | 0.120746i | ||||
\(969\) | 23.0742 | + | 6.18272i | 0.741251 | + | 0.198618i | ||||
\(970\) | 0.0361682 | + | 0.228357i | 0.00116129 | + | 0.00733210i | ||||
\(971\) | 45.4182 | − | 9.65393i | 1.45754 | − | 0.309809i | 0.590091 | − | 0.807337i | \(-0.299092\pi\) |
0.867448 | + | 0.497528i | \(0.165759\pi\) | |||||||
\(972\) | 0.340588 | − | 1.60234i | 0.0109244 | − | 0.0513951i | ||||
\(973\) | 40.4470 | + | 32.7533i | 1.29667 | + | 1.05002i | ||||
\(974\) | 6.79679 | − | 4.93816i | 0.217783 | − | 0.158229i | ||||
\(975\) | −12.3349 | + | 13.1309i | −0.395031 | + | 0.420525i | ||||
\(976\) | −3.67961 | − | 1.19558i | −0.117781 | − | 0.0382695i | ||||
\(977\) | −47.1345 | − | 18.0932i | −1.50796 | − | 0.578853i | −0.542654 | − | 0.839956i | \(-0.682580\pi\) |
−0.965311 | + | 0.261103i | \(0.915914\pi\) | |||||||
\(978\) | −2.66147 | − | 1.53660i | −0.0851044 | − | 0.0491351i | ||||
\(979\) | 43.8905 | + | 2.29167i | 1.40275 | + | 0.0732421i | ||||
\(980\) | 0.137738 | + | 0.137738i | 0.00439987 | + | 0.00439987i | ||||
\(981\) | 5.36086 | + | 6.62011i | 0.171159 | + | 0.211364i | ||||
\(982\) | 13.0703 | − | 20.1264i | 0.417089 | − | 0.642261i | ||||
\(983\) | −41.4758 | − | 21.1330i | −1.32287 | − | 0.674038i | −0.357256 | − | 0.934006i | \(-0.616288\pi\) |
−0.965617 | + | 0.259969i | \(0.916288\pi\) | |||||||
\(984\) | −8.51960 | − | 3.79317i | −0.271595 | − | 0.120922i | ||||
\(985\) | 0.0850752 | + | 0.809437i | 0.00271072 | + | 0.0257908i | ||||
\(986\) | −4.64124 | − | 7.14688i | −0.147807 | − | 0.227603i | ||||
\(987\) | 9.73858 | − | 29.9723i | 0.309982 | − | 0.954028i | ||||
\(988\) | −22.9801 | − | 29.6360i | −0.731095 | − | 0.942846i | ||||
\(989\) | − | 20.8547i | − | 0.663142i | ||||||
\(990\) | 0.0929527 | − | 0.0675616i | 0.00295423 | − | 0.00214725i | ||||
\(991\) | −8.49197 | + | 14.7085i | −0.269756 | + | 0.467232i | −0.968799 | − | 0.247848i | \(-0.920277\pi\) |
0.699042 | + | 0.715080i | \(0.253610\pi\) | |||||||
\(992\) | 1.41067 | − | 13.4216i | 0.0447888 | − | 0.426137i | ||||
\(993\) | −10.0356 | + | 5.11338i | −0.318469 | + | 0.162268i | ||||
\(994\) | −13.0889 | + | 0.685961i | −0.415155 | + | 0.0217574i | ||||
\(995\) | −1.13698 | + | 0.436446i | −0.0360447 | + | 0.0138363i | ||||
\(996\) | 10.5823 | + | 1.67608i | 0.335315 | + | 0.0531086i | ||||
\(997\) | 11.0723 | + | 9.96953i | 0.350663 | + | 0.315738i | 0.825572 | − | 0.564296i | \(-0.190853\pi\) |
−0.474909 | + | 0.880035i | \(0.657519\pi\) | |||||||
\(998\) | −7.26118 | − | 8.06436i | −0.229849 | − | 0.255273i | ||||
\(999\) | 0.525386 | − | 1.36868i | 0.0166225 | − | 0.0433031i |
(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 | 429.2.bs.b.7.6 | ✓ | 224 | |
11.8 | odd | 10 | inner | 429.2.bs.b.85.6 | yes | 224 | |
13.2 | odd | 12 | inner | 429.2.bs.b.106.6 | yes | 224 | |
143.41 | even | 60 | inner | 429.2.bs.b.184.6 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
429.2.bs.b.7.6 | ✓ | 224 | 1.1 | even | 1 | trivial | |
429.2.bs.b.85.6 | yes | 224 | 11.8 | odd | 10 | inner | |
429.2.bs.b.106.6 | yes | 224 | 13.2 | odd | 12 | inner | |
429.2.bs.b.184.6 | yes | 224 | 143.41 | even | 60 | inner |