Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(31,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 0, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.31");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.m (of order \(11\), degree \(10\), 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: | \(5.50967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{11})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} - 5 x^{19} + 8 x^{18} - 32 x^{17} + 277 x^{16} - 1138 x^{15} + 2950 x^{14} - 6404 x^{13} + 24088 x^{12} - 93423 x^{11} + 318055 x^{10} - 798006 x^{9} + 1869818 x^{8} + \cdots + 7921 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 301.2 | ||
Root | \(-0.0296794 + 0.00871465i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 690.301 |
Dual form | 690.2.m.d.541.2 |
$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{1}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.841254 | + | 0.540641i | 0.594856 | + | 0.382291i | ||||
\(3\) | 0.142315 | + | 0.989821i | 0.0821655 | + | 0.571474i | ||||
\(4\) | 0.415415 | + | 0.909632i | 0.207708 | + | 0.454816i | ||||
\(5\) | 0.959493 | + | 0.281733i | 0.429098 | + | 0.125995i | ||||
\(6\) | −0.415415 | + | 0.909632i | −0.169592 | + | 0.371356i | ||||
\(7\) | 2.25922 | − | 2.60728i | 0.853904 | − | 0.985458i | −0.146089 | − | 0.989272i | \(-0.546668\pi\) |
0.999993 | + | 0.00381361i | \(0.00121391\pi\) | |||||||
\(8\) | −0.142315 | + | 0.989821i | −0.0503159 | + | 0.349955i | ||||
\(9\) | −0.959493 | + | 0.281733i | −0.319831 | + | 0.0939109i | ||||
\(10\) | 0.654861 | + | 0.755750i | 0.207085 | + | 0.238989i | ||||
\(11\) | 3.00554 | − | 1.93155i | 0.906205 | − | 0.582383i | −0.00241910 | − | 0.999997i | \(-0.500770\pi\) |
0.908624 | + | 0.417614i | \(0.137134\pi\) | |||||||
\(12\) | −0.841254 | + | 0.540641i | −0.242849 | + | 0.156070i | ||||
\(13\) | 1.91026 | + | 2.20456i | 0.529812 | + | 0.611436i | 0.956060 | − | 0.293171i | \(-0.0947104\pi\) |
−0.426248 | + | 0.904606i | \(0.640165\pi\) | |||||||
\(14\) | 3.31018 | − | 0.971955i | 0.884682 | − | 0.259766i | ||||
\(15\) | −0.142315 | + | 0.989821i | −0.0367455 | + | 0.255571i | ||||
\(16\) | −0.654861 | + | 0.755750i | −0.163715 | + | 0.188937i | ||||
\(17\) | 0.831833 | − | 1.82146i | 0.201749 | − | 0.441769i | −0.781531 | − | 0.623866i | \(-0.785561\pi\) |
0.983281 | + | 0.182097i | \(0.0582885\pi\) | |||||||
\(18\) | −0.959493 | − | 0.281733i | −0.226155 | − | 0.0664050i | ||||
\(19\) | −0.366972 | − | 0.803556i | −0.0841891 | − | 0.184348i | 0.862855 | − | 0.505451i | \(-0.168674\pi\) |
−0.947044 | + | 0.321103i | \(0.895947\pi\) | |||||||
\(20\) | 0.142315 | + | 0.989821i | 0.0318226 | + | 0.221331i | ||||
\(21\) | 2.90226 | + | 1.86517i | 0.633325 | + | 0.407013i | ||||
\(22\) | 3.57270 | 0.761701 | ||||||||
\(23\) | −4.56059 | + | 1.48358i | −0.950949 | + | 0.309348i | ||||
\(24\) | −1.00000 | −0.204124 | ||||||||
\(25\) | 0.841254 | + | 0.540641i | 0.168251 | + | 0.108128i | ||||
\(26\) | 0.415140 | + | 2.88736i | 0.0814157 | + | 0.566259i | ||||
\(27\) | −0.415415 | − | 0.909632i | −0.0799467 | − | 0.175059i | ||||
\(28\) | 3.31018 | + | 0.971955i | 0.625564 | + | 0.183682i | ||||
\(29\) | −1.83516 | + | 4.01845i | −0.340782 | + | 0.746207i | −0.999983 | − | 0.00575855i | \(-0.998167\pi\) |
0.659202 | + | 0.751966i | \(0.270894\pi\) | |||||||
\(30\) | −0.654861 | + | 0.755750i | −0.119561 | + | 0.137980i | ||||
\(31\) | −0.254124 | + | 1.76747i | −0.0456421 | + | 0.317448i | 0.954191 | + | 0.299197i | \(0.0967188\pi\) |
−0.999833 | + | 0.0182507i | \(0.994190\pi\) | |||||||
\(32\) | −0.959493 | + | 0.281733i | −0.169616 | + | 0.0498038i | ||||
\(33\) | 2.33962 | + | 2.70006i | 0.407275 | + | 0.470021i | ||||
\(34\) | 1.68454 | − | 1.08259i | 0.288896 | − | 0.185662i | ||||
\(35\) | 2.90226 | − | 1.86517i | 0.490571 | − | 0.315271i | ||||
\(36\) | −0.654861 | − | 0.755750i | −0.109143 | − | 0.125958i | ||||
\(37\) | 2.67890 | − | 0.786596i | 0.440408 | − | 0.129316i | −0.0540085 | − | 0.998540i | \(-0.517200\pi\) |
0.494417 | + | 0.869225i | \(0.335382\pi\) | |||||||
\(38\) | 0.125719 | − | 0.874394i | 0.0203943 | − | 0.141845i | ||||
\(39\) | −1.91026 | + | 2.20456i | −0.305887 | + | 0.353013i | ||||
\(40\) | −0.415415 | + | 0.909632i | −0.0656829 | + | 0.143825i | ||||
\(41\) | −7.69951 | − | 2.26078i | −1.20246 | − | 0.353074i | −0.381668 | − | 0.924300i | \(-0.624650\pi\) |
−0.820793 | + | 0.571225i | \(0.806468\pi\) | |||||||
\(42\) | 1.43315 | + | 3.13816i | 0.221140 | + | 0.484228i | ||||
\(43\) | 0.474462 | + | 3.29995i | 0.0723547 | + | 0.503238i | 0.993483 | + | 0.113979i | \(0.0363598\pi\) |
−0.921128 | + | 0.389259i | \(0.872731\pi\) | |||||||
\(44\) | 3.00554 | + | 1.93155i | 0.453103 | + | 0.291191i | ||||
\(45\) | −1.00000 | −0.149071 | ||||||||
\(46\) | −4.63870 | − | 1.21757i | −0.683939 | − | 0.179521i | ||||
\(47\) | −6.66271 | −0.971857 | −0.485928 | − | 0.873999i | \(-0.661518\pi\) | ||||
−0.485928 | + | 0.873999i | \(0.661518\pi\) | |||||||
\(48\) | −0.841254 | − | 0.540641i | −0.121424 | − | 0.0780348i | ||||
\(49\) | −0.697621 | − | 4.85206i | −0.0996602 | − | 0.693152i | ||||
\(50\) | 0.415415 | + | 0.909632i | 0.0587486 | + | 0.128641i | ||||
\(51\) | 1.92130 | + | 0.564145i | 0.269036 | + | 0.0789961i | ||||
\(52\) | −1.21179 | + | 2.65345i | −0.168045 | + | 0.367967i | ||||
\(53\) | −2.06575 | + | 2.38401i | −0.283753 | + | 0.327469i | −0.879676 | − | 0.475573i | \(-0.842241\pi\) |
0.595923 | + | 0.803041i | \(0.296786\pi\) | |||||||
\(54\) | 0.142315 | − | 0.989821i | 0.0193666 | − | 0.134698i | ||||
\(55\) | 3.42798 | − | 1.00654i | 0.462228 | − | 0.135722i | ||||
\(56\) | 2.25922 | + | 2.60728i | 0.301901 | + | 0.348412i | ||||
\(57\) | 0.743151 | − | 0.477594i | 0.0984328 | − | 0.0632589i | ||||
\(58\) | −3.71638 | + | 2.38837i | −0.487984 | + | 0.313608i | ||||
\(59\) | −1.49817 | − | 1.72898i | −0.195045 | − | 0.225094i | 0.649800 | − | 0.760105i | \(-0.274853\pi\) |
−0.844845 | + | 0.535012i | \(0.820307\pi\) | |||||||
\(60\) | −0.959493 | + | 0.281733i | −0.123870 | + | 0.0363715i | ||||
\(61\) | −0.0614036 | + | 0.427072i | −0.00786193 | + | 0.0546809i | −0.993375 | − | 0.114920i | \(-0.963339\pi\) |
0.985513 | + | 0.169601i | \(0.0542479\pi\) | |||||||
\(62\) | −1.16935 | + | 1.34950i | −0.148508 | + | 0.171387i | ||||
\(63\) | −1.43315 | + | 3.13816i | −0.180560 | + | 0.395371i | ||||
\(64\) | −0.959493 | − | 0.281733i | −0.119937 | − | 0.0352166i | ||||
\(65\) | 1.21179 | + | 2.65345i | 0.150304 | + | 0.329120i | ||||
\(66\) | 0.508448 | + | 3.53633i | 0.0625856 | + | 0.435292i | ||||
\(67\) | −4.69226 | − | 3.01553i | −0.573250 | − | 0.368406i | 0.221668 | − | 0.975122i | \(-0.428850\pi\) |
−0.794918 | + | 0.606717i | \(0.792486\pi\) | |||||||
\(68\) | 2.00241 | 0.242828 | ||||||||
\(69\) | −2.11752 | − | 4.30303i | −0.254919 | − | 0.518025i | ||||
\(70\) | 3.44992 | 0.412344 | ||||||||
\(71\) | 3.86069 | + | 2.48112i | 0.458180 | + | 0.294454i | 0.749298 | − | 0.662233i | \(-0.230391\pi\) |
−0.291118 | + | 0.956687i | \(0.594027\pi\) | |||||||
\(72\) | −0.142315 | − | 0.989821i | −0.0167720 | − | 0.116652i | ||||
\(73\) | −0.637855 | − | 1.39671i | −0.0746553 | − | 0.163472i | 0.868625 | − | 0.495471i | \(-0.165004\pi\) |
−0.943280 | + | 0.331998i | \(0.892277\pi\) | |||||||
\(74\) | 2.67890 | + | 0.786596i | 0.311416 | + | 0.0914399i | ||||
\(75\) | −0.415415 | + | 0.909632i | −0.0479680 | + | 0.105035i | ||||
\(76\) | 0.578494 | − | 0.667618i | 0.0663579 | − | 0.0765811i | ||||
\(77\) | 1.75410 | − | 12.2001i | 0.199899 | − | 1.39033i | ||||
\(78\) | −2.79889 | + | 0.821829i | −0.316912 | + | 0.0930539i | ||||
\(79\) | −3.67678 | − | 4.24323i | −0.413670 | − | 0.477400i | 0.510228 | − | 0.860039i | \(-0.329561\pi\) |
−0.923898 | + | 0.382639i | \(0.875015\pi\) | |||||||
\(80\) | −0.841254 | + | 0.540641i | −0.0940550 | + | 0.0604455i | ||||
\(81\) | 0.841254 | − | 0.540641i | 0.0934726 | − | 0.0600712i | ||||
\(82\) | −5.25497 | − | 6.06456i | −0.580314 | − | 0.669718i | ||||
\(83\) | 16.0001 | − | 4.69805i | 1.75624 | − | 0.515678i | 0.764576 | − | 0.644534i | \(-0.222949\pi\) |
0.991663 | + | 0.128856i | \(0.0411304\pi\) | |||||||
\(84\) | −0.490975 | + | 3.41481i | −0.0535698 | + | 0.372586i | ||||
\(85\) | 1.31130 | − | 1.51332i | 0.142231 | − | 0.164143i | ||||
\(86\) | −1.38495 | + | 3.03261i | −0.149343 | + | 0.327015i | ||||
\(87\) | −4.23872 | − | 1.24460i | −0.454438 | − | 0.133435i | ||||
\(88\) | 1.48415 | + | 3.24984i | 0.158211 | + | 0.346434i | ||||
\(89\) | 1.55693 | + | 10.8287i | 0.165034 | + | 1.14784i | 0.888968 | + | 0.457970i | \(0.151423\pi\) |
−0.723934 | + | 0.689870i | \(0.757668\pi\) | |||||||
\(90\) | −0.841254 | − | 0.540641i | −0.0886759 | − | 0.0569885i | ||||
\(91\) | 10.0636 | 1.05495 | ||||||||
\(92\) | −3.24405 | − | 3.53216i | −0.338216 | − | 0.368253i | ||||
\(93\) | −1.78565 | −0.185163 | ||||||||
\(94\) | −5.60503 | − | 3.60214i | −0.578115 | − | 0.371532i | ||||
\(95\) | −0.125719 | − | 0.874394i | −0.0128985 | − | 0.0897109i | ||||
\(96\) | −0.415415 | − | 0.909632i | −0.0423981 | − | 0.0928389i | ||||
\(97\) | −3.16425 | − | 0.929106i | −0.321280 | − | 0.0943365i | 0.117116 | − | 0.993118i | \(-0.462635\pi\) |
−0.438396 | + | 0.898782i | \(0.644453\pi\) | |||||||
\(98\) | 2.03635 | − | 4.45898i | 0.205702 | − | 0.450425i | ||||
\(99\) | −2.33962 | + | 2.70006i | −0.235140 | + | 0.271367i | ||||
\(100\) | −0.142315 | + | 0.989821i | −0.0142315 | + | 0.0989821i | ||||
\(101\) | −14.1575 | + | 4.15703i | −1.40873 | + | 0.413640i | −0.895672 | − | 0.444716i | \(-0.853305\pi\) |
−0.513055 | + | 0.858355i | \(0.671486\pi\) | |||||||
\(102\) | 1.31130 | + | 1.51332i | 0.129838 | + | 0.149841i | ||||
\(103\) | 13.1280 | − | 8.43685i | 1.29354 | − | 0.831307i | 0.301047 | − | 0.953609i | \(-0.402664\pi\) |
0.992493 | + | 0.122302i | \(0.0390277\pi\) | |||||||
\(104\) | −2.45398 | + | 1.57708i | −0.240633 | + | 0.154645i | ||||
\(105\) | 2.25922 | + | 2.60728i | 0.220477 | + | 0.254444i | ||||
\(106\) | −3.02671 | + | 0.888723i | −0.293980 | + | 0.0863205i | ||||
\(107\) | 1.25180 | − | 8.70647i | 0.121016 | − | 0.841686i | −0.835392 | − | 0.549654i | \(-0.814759\pi\) |
0.956408 | − | 0.292032i | \(-0.0943314\pi\) | |||||||
\(108\) | 0.654861 | − | 0.755750i | 0.0630140 | − | 0.0727220i | ||||
\(109\) | 6.12051 | − | 13.4020i | 0.586239 | − | 1.28368i | −0.351450 | − | 0.936207i | \(-0.614311\pi\) |
0.937689 | − | 0.347477i | \(-0.112961\pi\) | |||||||
\(110\) | 3.42798 | + | 1.00654i | 0.326845 | + | 0.0959703i | ||||
\(111\) | 1.15984 | + | 2.53969i | 0.110087 | + | 0.241057i | ||||
\(112\) | 0.490975 | + | 3.41481i | 0.0463928 | + | 0.322669i | ||||
\(113\) | −15.4704 | − | 9.94222i | −1.45533 | − | 0.935285i | −0.998965 | − | 0.0454943i | \(-0.985514\pi\) |
−0.456368 | − | 0.889791i | \(-0.650850\pi\) | |||||||
\(114\) | 0.883386 | 0.0827366 | ||||||||
\(115\) | −4.79383 | + | 0.138618i | −0.447027 | + | 0.0129262i | ||||
\(116\) | −4.41767 | −0.410170 | ||||||||
\(117\) | −2.45398 | − | 1.57708i | −0.226871 | − | 0.145801i | ||||
\(118\) | −0.325583 | − | 2.26448i | −0.0299724 | − | 0.208462i | ||||
\(119\) | −2.86976 | − | 6.28389i | −0.263070 | − | 0.576044i | ||||
\(120\) | −0.959493 | − | 0.281733i | −0.0875893 | − | 0.0257185i | ||||
\(121\) | 0.732857 | − | 1.60473i | 0.0666233 | − | 0.145885i | ||||
\(122\) | −0.282548 | + | 0.326078i | −0.0255807 | + | 0.0295217i | ||||
\(123\) | 1.14201 | − | 7.94288i | 0.102972 | − | 0.716186i | ||||
\(124\) | −1.71332 | + | 0.503076i | −0.153860 | + | 0.0451775i | ||||
\(125\) | 0.654861 | + | 0.755750i | 0.0585725 | + | 0.0675963i | ||||
\(126\) | −2.90226 | + | 1.86517i | −0.258554 | + | 0.166162i | ||||
\(127\) | 16.9584 | − | 10.8985i | 1.50482 | − | 0.967087i | 0.510585 | − | 0.859827i | \(-0.329429\pi\) |
0.994231 | − | 0.107260i | \(-0.0342076\pi\) | |||||||
\(128\) | −0.654861 | − | 0.755750i | −0.0578821 | − | 0.0667995i | ||||
\(129\) | −3.19884 | + | 0.939265i | −0.281642 | + | 0.0826977i | ||||
\(130\) | −0.415140 | + | 2.88736i | −0.0364102 | + | 0.253239i | ||||
\(131\) | −8.00078 | + | 9.23340i | −0.699032 | + | 0.806726i | −0.988621 | − | 0.150425i | \(-0.951936\pi\) |
0.289590 | + | 0.957151i | \(0.406481\pi\) | |||||||
\(132\) | −1.48415 | + | 3.24984i | −0.129179 | + | 0.282862i | ||||
\(133\) | −2.92416 | − | 0.858611i | −0.253557 | − | 0.0744510i | ||||
\(134\) | −2.31706 | − | 5.07365i | −0.200163 | − | 0.438297i | ||||
\(135\) | −0.142315 | − | 0.989821i | −0.0122485 | − | 0.0851903i | ||||
\(136\) | 1.68454 | + | 1.08259i | 0.144448 | + | 0.0928310i | ||||
\(137\) | −14.6636 | −1.25280 | −0.626399 | − | 0.779502i | \(-0.715472\pi\) | ||||
−0.626399 | + | 0.779502i | \(0.715472\pi\) | |||||||
\(138\) | 0.545025 | − | 4.76476i | 0.0463956 | − | 0.405603i | ||||
\(139\) | 8.25897 | 0.700517 | 0.350258 | − | 0.936653i | \(-0.386094\pi\) | ||||
0.350258 | + | 0.936653i | \(0.386094\pi\) | |||||||
\(140\) | 2.90226 | + | 1.86517i | 0.245286 | + | 0.157635i | ||||
\(141\) | −0.948203 | − | 6.59490i | −0.0798531 | − | 0.555391i | ||||
\(142\) | 1.90643 | + | 4.17449i | 0.159984 | + | 0.350316i | ||||
\(143\) | 9.99960 | + | 2.93615i | 0.836208 | + | 0.245533i | ||||
\(144\) | 0.415415 | − | 0.909632i | 0.0346179 | − | 0.0758027i | ||||
\(145\) | −2.89296 | + | 3.33865i | −0.240247 | + | 0.277260i | ||||
\(146\) | 0.218519 | − | 1.51984i | 0.0180848 | − | 0.125783i | ||||
\(147\) | 4.70339 | − | 1.38104i | 0.387929 | − | 0.113906i | ||||
\(148\) | 1.82837 | + | 2.11005i | 0.150291 | + | 0.173445i | ||||
\(149\) | −16.6276 | + | 10.6859i | −1.36219 | + | 0.875426i | −0.998427 | − | 0.0560651i | \(-0.982145\pi\) |
−0.363763 | + | 0.931492i | \(0.618508\pi\) | |||||||
\(150\) | −0.841254 | + | 0.540641i | −0.0686881 | + | 0.0441431i | ||||
\(151\) | 6.27561 | + | 7.24244i | 0.510702 | + | 0.589381i | 0.951278 | − | 0.308334i | \(-0.0997714\pi\) |
−0.440577 | + | 0.897715i | \(0.645226\pi\) | |||||||
\(152\) | 0.847602 | − | 0.248878i | 0.0687496 | − | 0.0201867i | ||||
\(153\) | −0.284973 | + | 1.98203i | −0.0230387 | + | 0.160238i | ||||
\(154\) | 8.07150 | − | 9.31501i | 0.650420 | − | 0.750625i | ||||
\(155\) | −0.741785 | + | 1.62428i | −0.0595816 | + | 0.130466i | ||||
\(156\) | −2.79889 | − | 0.821829i | −0.224091 | − | 0.0657990i | ||||
\(157\) | −5.41793 | − | 11.8636i | −0.432398 | − | 0.946819i | −0.992932 | − | 0.118687i | \(-0.962131\pi\) |
0.560534 | − | 0.828131i | \(-0.310596\pi\) | |||||||
\(158\) | −0.799040 | − | 5.55744i | −0.0635682 | − | 0.442126i | ||||
\(159\) | −2.65373 | − | 1.70545i | −0.210454 | − | 0.135251i | ||||
\(160\) | −1.00000 | −0.0790569 | ||||||||
\(161\) | −6.43526 | + | 15.2425i | −0.507170 | + | 1.20127i | ||||
\(162\) | 1.00000 | 0.0785674 | ||||||||
\(163\) | −4.37597 | − | 2.81226i | −0.342752 | − | 0.220273i | 0.357928 | − | 0.933749i | \(-0.383483\pi\) |
−0.700680 | + | 0.713476i | \(0.747120\pi\) | |||||||
\(164\) | −1.14201 | − | 7.94288i | −0.0891763 | − | 0.620235i | ||||
\(165\) | 1.48415 | + | 3.24984i | 0.115541 | + | 0.253000i | ||||
\(166\) | 16.0001 | + | 4.69805i | 1.24185 | + | 0.364640i | ||||
\(167\) | −0.0607807 | + | 0.133091i | −0.00470335 | + | 0.0102989i | −0.911969 | − | 0.410259i | \(-0.865438\pi\) |
0.907266 | + | 0.420558i | \(0.138166\pi\) | |||||||
\(168\) | −2.25922 | + | 2.60728i | −0.174302 | + | 0.201156i | ||||
\(169\) | 0.639106 | − | 4.44508i | 0.0491620 | − | 0.341929i | ||||
\(170\) | 1.92130 | − | 0.564145i | 0.147357 | − | 0.0432680i | ||||
\(171\) | 0.578494 | + | 0.667618i | 0.0442386 | + | 0.0510540i | ||||
\(172\) | −2.80465 | + | 1.80244i | −0.213852 | + | 0.137434i | ||||
\(173\) | 15.2612 | − | 9.80780i | 1.16029 | − | 0.745673i | 0.188628 | − | 0.982049i | \(-0.439596\pi\) |
0.971662 | + | 0.236375i | \(0.0759595\pi\) | |||||||
\(174\) | −2.89296 | − | 3.33865i | −0.219314 | − | 0.253102i | ||||
\(175\) | 3.31018 | − | 0.971955i | 0.250226 | − | 0.0734729i | ||||
\(176\) | −0.508448 | + | 3.53633i | −0.0383257 | + | 0.266561i | ||||
\(177\) | 1.49817 | − | 1.72898i | 0.112609 | − | 0.129958i | ||||
\(178\) | −4.54466 | + | 9.95142i | −0.340637 | + | 0.745890i | ||||
\(179\) | −0.962409 | − | 0.282589i | −0.0719338 | − | 0.0211217i | 0.245568 | − | 0.969379i | \(-0.421026\pi\) |
−0.317501 | + | 0.948258i | \(0.602844\pi\) | |||||||
\(180\) | −0.415415 | − | 0.909632i | −0.0309632 | − | 0.0678000i | ||||
\(181\) | 1.70529 | + | 11.8606i | 0.126753 | + | 0.881588i | 0.949631 | + | 0.313370i | \(0.101458\pi\) |
−0.822878 | + | 0.568218i | \(0.807633\pi\) | |||||||
\(182\) | 8.46605 | + | 5.44080i | 0.627545 | + | 0.403299i | ||||
\(183\) | −0.431463 | −0.0318947 | ||||||||
\(184\) | −0.819440 | − | 4.72531i | −0.0604099 | − | 0.348354i | ||||
\(185\) | 2.79200 | 0.205272 | ||||||||
\(186\) | −1.50218 | − | 0.965395i | −0.110145 | − | 0.0707862i | ||||
\(187\) | −1.01812 | − | 7.08120i | −0.0744525 | − | 0.517829i | ||||
\(188\) | −2.76779 | − | 6.06062i | −0.201862 | − | 0.442016i | ||||
\(189\) | −3.31018 | − | 0.971955i | −0.240780 | − | 0.0706993i | ||||
\(190\) | 0.366972 | − | 0.803556i | 0.0266229 | − | 0.0582961i | ||||
\(191\) | −11.5452 | + | 13.3238i | −0.835380 | + | 0.964080i | −0.999751 | − | 0.0223188i | \(-0.992895\pi\) |
0.164371 | + | 0.986399i | \(0.447441\pi\) | |||||||
\(192\) | 0.142315 | − | 0.989821i | 0.0102707 | − | 0.0714342i | ||||
\(193\) | −15.2647 | + | 4.48213i | −1.09878 | + | 0.322631i | −0.780367 | − | 0.625322i | \(-0.784968\pi\) |
−0.318412 | + | 0.947952i | \(0.603150\pi\) | |||||||
\(194\) | −2.15962 | − | 2.49233i | −0.155052 | − | 0.178939i | ||||
\(195\) | −2.45398 | + | 1.57708i | −0.175733 | + | 0.112937i | ||||
\(196\) | 4.12379 | − | 2.65020i | 0.294556 | − | 0.189300i | ||||
\(197\) | −13.3507 | − | 15.4075i | −0.951196 | − | 1.09774i | −0.995117 | − | 0.0987041i | \(-0.968530\pi\) |
0.0439205 | − | 0.999035i | \(-0.486015\pi\) | |||||||
\(198\) | −3.42798 | + | 1.00654i | −0.243616 | + | 0.0715320i | ||||
\(199\) | 0.586462 | − | 4.07893i | 0.0415732 | − | 0.289148i | −0.958420 | − | 0.285363i | \(-0.907886\pi\) |
0.999993 | − | 0.00378534i | \(-0.00120492\pi\) | |||||||
\(200\) | −0.654861 | + | 0.755750i | −0.0463056 | + | 0.0534396i | ||||
\(201\) | 2.31706 | − | 5.07365i | 0.163433 | − | 0.357868i | ||||
\(202\) | −14.1575 | − | 4.15703i | −0.996120 | − | 0.292487i | ||||
\(203\) | 6.33117 | + | 13.8633i | 0.444361 | + | 0.973015i | ||||
\(204\) | 0.284973 | + | 1.98203i | 0.0199521 | + | 0.138770i | ||||
\(205\) | −6.75069 | − | 4.33840i | −0.471489 | − | 0.303007i | ||||
\(206\) | 15.6053 | 1.08727 | ||||||||
\(207\) | 3.95788 | − | 2.70835i | 0.275092 | − | 0.188243i | ||||
\(208\) | −2.91706 | −0.202261 | ||||||||
\(209\) | −2.65505 | − | 1.70630i | −0.183654 | − | 0.118027i | ||||
\(210\) | 0.490975 | + | 3.41481i | 0.0338805 | + | 0.235644i | ||||
\(211\) | 4.76636 | + | 10.4369i | 0.328130 | + | 0.718503i | 0.999749 | − | 0.0223926i | \(-0.00712838\pi\) |
−0.671620 | + | 0.740896i | \(0.734401\pi\) | |||||||
\(212\) | −3.02671 | − | 0.888723i | −0.207876 | − | 0.0610378i | ||||
\(213\) | −1.90643 | + | 4.17449i | −0.130626 | + | 0.286032i | ||||
\(214\) | 5.76016 | − | 6.64758i | 0.393756 | − | 0.454419i | ||||
\(215\) | −0.474462 | + | 3.29995i | −0.0323580 | + | 0.225055i | ||||
\(216\) | 0.959493 | − | 0.281733i | 0.0652852 | − | 0.0191695i | ||||
\(217\) | 4.03417 | + | 4.65568i | 0.273857 | + | 0.316048i | ||||
\(218\) | 12.3946 | − | 7.96552i | 0.839468 | − | 0.539493i | ||||
\(219\) | 1.29172 | − | 0.830135i | 0.0872861 | − | 0.0560953i | ||||
\(220\) | 2.33962 | + | 2.70006i | 0.157737 | + | 0.182038i | ||||
\(221\) | 5.60454 | − | 1.64564i | 0.377002 | − | 0.110698i | ||||
\(222\) | −0.397342 | + | 2.76358i | −0.0266679 | + | 0.185479i | ||||
\(223\) | 2.74294 | − | 3.16552i | 0.183681 | − | 0.211979i | −0.656440 | − | 0.754378i | \(-0.727939\pi\) |
0.840121 | + | 0.542399i | \(0.182484\pi\) | |||||||
\(224\) | −1.43315 | + | 3.13816i | −0.0957563 | + | 0.209677i | ||||
\(225\) | −0.959493 | − | 0.281733i | −0.0639662 | − | 0.0187822i | ||||
\(226\) | −7.63936 | − | 16.7279i | −0.508162 | − | 1.11272i | ||||
\(227\) | −2.31335 | − | 16.0897i | −0.153543 | − | 1.06791i | −0.910220 | − | 0.414125i | \(-0.864088\pi\) |
0.756677 | − | 0.653788i | \(-0.226821\pi\) | |||||||
\(228\) | 0.743151 | + | 0.477594i | 0.0492164 | + | 0.0316295i | ||||
\(229\) | 5.86649 | 0.387668 | 0.193834 | − | 0.981034i | \(-0.437908\pi\) | ||||
0.193834 | + | 0.981034i | \(0.437908\pi\) | |||||||
\(230\) | −4.10777 | − | 2.47513i | −0.270858 | − | 0.163205i | ||||
\(231\) | 12.3255 | 0.810960 | ||||||||
\(232\) | −3.71638 | − | 2.38837i | −0.243992 | − | 0.156804i | ||||
\(233\) | 3.14011 | + | 21.8399i | 0.205715 | + | 1.43078i | 0.786935 | + | 0.617035i | \(0.211666\pi\) |
−0.581220 | + | 0.813746i | \(0.697424\pi\) | |||||||
\(234\) | −1.21179 | − | 2.65345i | −0.0792171 | − | 0.173461i | ||||
\(235\) | −6.39283 | − | 1.87710i | −0.417022 | − | 0.122449i | ||||
\(236\) | 0.950372 | − | 2.08103i | 0.0618640 | − | 0.135463i | ||||
\(237\) | 3.67678 | − | 4.24323i | 0.238832 | − | 0.275627i | ||||
\(238\) | 0.983135 | − | 6.83786i | 0.0637272 | − | 0.443232i | ||||
\(239\) | −6.00657 | + | 1.76369i | −0.388533 | + | 0.114084i | −0.470164 | − | 0.882579i | \(-0.655805\pi\) |
0.0816311 | + | 0.996663i | \(0.473987\pi\) | |||||||
\(240\) | −0.654861 | − | 0.755750i | −0.0422711 | − | 0.0487834i | ||||
\(241\) | 0.270609 | − | 0.173910i | 0.0174315 | − | 0.0112025i | −0.531896 | − | 0.846810i | \(-0.678520\pi\) |
0.549328 | + | 0.835607i | \(0.314884\pi\) | |||||||
\(242\) | 1.48410 | − | 0.953774i | 0.0954017 | − | 0.0613109i | ||||
\(243\) | 0.654861 | + | 0.755750i | 0.0420093 | + | 0.0484814i | ||||
\(244\) | −0.413986 | + | 0.121557i | −0.0265027 | + | 0.00778190i | ||||
\(245\) | 0.697621 | − | 4.85206i | 0.0445694 | − | 0.309987i | ||||
\(246\) | 5.25497 | − | 6.06456i | 0.335045 | − | 0.386662i | ||||
\(247\) | 1.07048 | − | 2.34402i | 0.0681128 | − | 0.149146i | ||||
\(248\) | −1.71332 | − | 0.503076i | −0.108796 | − | 0.0319453i | ||||
\(249\) | 6.92728 | + | 15.1686i | 0.438999 | + | 0.961273i | ||||
\(250\) | 0.142315 | + | 0.989821i | 0.00900078 | + | 0.0626018i | ||||
\(251\) | 8.02082 | + | 5.15467i | 0.506270 | + | 0.325360i | 0.768720 | − | 0.639586i | \(-0.220894\pi\) |
−0.262450 | + | 0.964946i | \(0.584531\pi\) | |||||||
\(252\) | −3.44992 | −0.217325 | ||||||||
\(253\) | −10.8414 | + | 13.2680i | −0.681596 | + | 0.834149i | ||||
\(254\) | 20.1585 | 1.26486 | ||||||||
\(255\) | 1.68454 | + | 1.08259i | 0.105490 | + | 0.0677942i | ||||
\(256\) | −0.142315 | − | 0.989821i | −0.00889468 | − | 0.0618638i | ||||
\(257\) | 4.76678 | + | 10.4378i | 0.297343 | + | 0.651091i | 0.998054 | − | 0.0623542i | \(-0.0198608\pi\) |
−0.700711 | + | 0.713446i | \(0.747134\pi\) | |||||||
\(258\) | −3.19884 | − | 0.939265i | −0.199151 | − | 0.0584761i | ||||
\(259\) | 4.00135 | − | 8.76172i | 0.248631 | − | 0.544427i | ||||
\(260\) | −1.91026 | + | 2.20456i | −0.118470 | + | 0.136721i | ||||
\(261\) | 0.628699 | − | 4.37270i | 0.0389155 | − | 0.270663i | ||||
\(262\) | −11.7226 | + | 3.44208i | −0.724227 | + | 0.212652i | ||||
\(263\) | 10.9849 | + | 12.6773i | 0.677360 | + | 0.781715i | 0.985509 | − | 0.169623i | \(-0.0542551\pi\) |
−0.308149 | + | 0.951338i | \(0.599710\pi\) | |||||||
\(264\) | −3.00554 | + | 1.93155i | −0.184978 | + | 0.118878i | ||||
\(265\) | −2.65373 | + | 1.70545i | −0.163017 | + | 0.104765i | ||||
\(266\) | −1.99576 | − | 2.30323i | −0.122368 | − | 0.141220i | ||||
\(267\) | −10.4969 | + | 3.08217i | −0.642400 | + | 0.188626i | ||||
\(268\) | 0.793789 | − | 5.52092i | 0.0484884 | − | 0.337244i | ||||
\(269\) | −5.43013 | + | 6.26670i | −0.331081 | + | 0.382088i | −0.896745 | − | 0.442548i | \(-0.854075\pi\) |
0.565664 | + | 0.824636i | \(0.308620\pi\) | |||||||
\(270\) | 0.415415 | − | 0.909632i | 0.0252814 | − | 0.0553584i | ||||
\(271\) | −10.5618 | − | 3.10122i | −0.641584 | − | 0.188386i | −0.0552717 | − | 0.998471i | \(-0.517602\pi\) |
−0.586312 | + | 0.810085i | \(0.699421\pi\) | |||||||
\(272\) | 0.831833 | + | 1.82146i | 0.0504373 | + | 0.110442i | ||||
\(273\) | 1.43220 | + | 9.96118i | 0.0866808 | + | 0.602878i | ||||
\(274\) | −12.3358 | − | 7.92776i | −0.745235 | − | 0.478933i | ||||
\(275\) | 3.57270 | 0.215442 | ||||||||
\(276\) | 3.03453 | − | 3.71371i | 0.182657 | − | 0.223539i | ||||
\(277\) | 17.1728 | 1.03181 | 0.515906 | − | 0.856645i | \(-0.327455\pi\) | ||||
0.515906 | + | 0.856645i | \(0.327455\pi\) | |||||||
\(278\) | 6.94789 | + | 4.46514i | 0.416707 | + | 0.267801i | ||||
\(279\) | −0.254124 | − | 1.76747i | −0.0152140 | − | 0.105816i | ||||
\(280\) | 1.43315 | + | 3.13816i | 0.0856470 | + | 0.187541i | ||||
\(281\) | 8.09556 | + | 2.37707i | 0.482941 | + | 0.141804i | 0.514135 | − | 0.857709i | \(-0.328113\pi\) |
−0.0311944 | + | 0.999513i | \(0.509931\pi\) | |||||||
\(282\) | 2.76779 | − | 6.06062i | 0.164820 | − | 0.360905i | ||||
\(283\) | −14.5793 | + | 16.8254i | −0.866646 | + | 1.00016i | 0.133312 | + | 0.991074i | \(0.457439\pi\) |
−0.999959 | + | 0.00908927i | \(0.997107\pi\) | |||||||
\(284\) | −0.653113 | + | 4.54250i | −0.0387551 | + | 0.269548i | ||||
\(285\) | 0.847602 | − | 0.248878i | 0.0502076 | − | 0.0147423i | ||||
\(286\) | 6.82480 | + | 7.87623i | 0.403559 | + | 0.465731i | ||||
\(287\) | −23.2893 | + | 14.9672i | −1.37473 | + | 0.883483i | ||||
\(288\) | 0.841254 | − | 0.540641i | 0.0495713 | − | 0.0318576i | ||||
\(289\) | 8.50686 | + | 9.81744i | 0.500404 | + | 0.577497i | ||||
\(290\) | −4.23872 | + | 1.24460i | −0.248906 | + | 0.0730854i | ||||
\(291\) | 0.469330 | − | 3.26426i | 0.0275126 | − | 0.191355i | ||||
\(292\) | 1.00552 | − | 1.16043i | 0.0588434 | − | 0.0679089i | ||||
\(293\) | 4.83241 | − | 10.5815i | 0.282312 | − | 0.618178i | −0.714352 | − | 0.699786i | \(-0.753279\pi\) |
0.996664 | + | 0.0816087i | \(0.0260058\pi\) | |||||||
\(294\) | 4.70339 | + | 1.38104i | 0.274307 | + | 0.0805439i | ||||
\(295\) | −0.950372 | − | 2.08103i | −0.0553328 | − | 0.121162i | ||||
\(296\) | 0.397342 | + | 2.76358i | 0.0230951 | + | 0.160630i | ||||
\(297\) | −3.00554 | − | 1.93155i | −0.174399 | − | 0.112080i | ||||
\(298\) | −19.7653 | −1.14497 | ||||||||
\(299\) | −11.9826 | − | 7.22008i | −0.692971 | − | 0.417548i | ||||
\(300\) | −1.00000 | −0.0577350 | ||||||||
\(301\) | 9.67581 | + | 6.21826i | 0.557704 | + | 0.358415i | ||||
\(302\) | 1.36382 | + | 9.48557i | 0.0784790 | + | 0.545833i | ||||
\(303\) | −6.12954 | − | 13.4218i | −0.352133 | − | 0.771064i | ||||
\(304\) | 0.847602 | + | 0.248878i | 0.0486133 | + | 0.0142742i | ||||
\(305\) | −0.179236 | + | 0.392473i | −0.0102630 | + | 0.0224729i | ||||
\(306\) | −1.31130 | + | 1.51332i | −0.0749622 | + | 0.0865109i | ||||
\(307\) | 3.30356 | − | 22.9768i | 0.188544 | − | 1.31135i | −0.647237 | − | 0.762289i | \(-0.724075\pi\) |
0.835781 | − | 0.549063i | \(-0.185015\pi\) | |||||||
\(308\) | 11.8262 | − | 3.47250i | 0.673863 | − | 0.197864i | ||||
\(309\) | 10.2193 | + | 11.7937i | 0.581355 | + | 0.670919i | ||||
\(310\) | −1.50218 | + | 0.965395i | −0.0853183 | + | 0.0548307i | ||||
\(311\) | 11.6288 | − | 7.47339i | 0.659410 | − | 0.423777i | −0.167684 | − | 0.985841i | \(-0.553629\pi\) |
0.827094 | + | 0.562064i | \(0.189993\pi\) | |||||||
\(312\) | −1.91026 | − | 2.20456i | −0.108147 | − | 0.124809i | ||||
\(313\) | −27.3925 | + | 8.04316i | −1.54832 | + | 0.454627i | −0.940597 | − | 0.339526i | \(-0.889733\pi\) |
−0.607719 | + | 0.794152i | \(0.707915\pi\) | |||||||
\(314\) | 1.85610 | − | 12.9095i | 0.104746 | − | 0.728523i | ||||
\(315\) | −2.25922 | + | 2.60728i | −0.127293 | + | 0.146903i | ||||
\(316\) | 2.33239 | − | 5.10721i | 0.131207 | − | 0.287303i | ||||
\(317\) | −3.41259 | − | 1.00203i | −0.191670 | − | 0.0562794i | 0.184489 | − | 0.982835i | \(-0.440937\pi\) |
−0.376159 | + | 0.926555i | \(0.622755\pi\) | |||||||
\(318\) | −1.31042 | − | 2.86943i | −0.0734849 | − | 0.160910i | ||||
\(319\) | 2.24615 | + | 15.6223i | 0.125760 | + | 0.874682i | ||||
\(320\) | −0.841254 | − | 0.540641i | −0.0470275 | − | 0.0302227i | ||||
\(321\) | 8.79600 | 0.490945 | ||||||||
\(322\) | −13.6544 | + | 9.34360i | −0.760929 | + | 0.520699i | ||||
\(323\) | −1.76890 | −0.0984244 | ||||||||
\(324\) | 0.841254 | + | 0.540641i | 0.0467363 | + | 0.0300356i | ||||
\(325\) | 0.415140 | + | 2.88736i | 0.0230278 | + | 0.160162i | ||||
\(326\) | −2.16087 | − | 4.73165i | −0.119680 | − | 0.262062i | ||||
\(327\) | 14.1367 | + | 4.15090i | 0.781760 | + | 0.229545i | ||||
\(328\) | 3.33352 | − | 7.29940i | 0.184063 | − | 0.403042i | ||||
\(329\) | −15.0525 | + | 17.3715i | −0.829872 | + | 0.957724i | ||||
\(330\) | −0.508448 | + | 3.53633i | −0.0279891 | + | 0.194669i | ||||
\(331\) | −11.4186 | + | 3.35282i | −0.627625 | + | 0.184287i | −0.580051 | − | 0.814580i | \(-0.696967\pi\) |
−0.0475744 | + | 0.998868i | \(0.515149\pi\) | |||||||
\(332\) | 10.9202 | + | 12.6026i | 0.599323 | + | 0.691655i | ||||
\(333\) | −2.34878 | + | 1.50947i | −0.128712 | + | 0.0827183i | ||||
\(334\) | −0.123087 | + | 0.0791029i | −0.00673500 | + | 0.00432832i | ||||
\(335\) | −3.65261 | − | 4.21534i | −0.199564 | − | 0.230309i | ||||
\(336\) | −3.31018 | + | 0.971955i | −0.180585 | + | 0.0530245i | ||||
\(337\) | −4.36046 | + | 30.3277i | −0.237529 | + | 1.65205i | 0.426603 | + | 0.904439i | \(0.359710\pi\) |
−0.664133 | + | 0.747615i | \(0.731199\pi\) | |||||||
\(338\) | 2.94084 | − | 3.39391i | 0.159961 | − | 0.184605i | ||||
\(339\) | 7.63936 | − | 16.7279i | 0.414913 | − | 0.908532i | ||||
\(340\) | 1.92130 | + | 0.564145i | 0.104197 | + | 0.0305951i | ||||
\(341\) | 2.65017 | + | 5.80307i | 0.143515 | + | 0.314254i | ||||
\(342\) | 0.125719 | + | 0.874394i | 0.00679810 | + | 0.0472818i | ||||
\(343\) | 6.08906 | + | 3.91320i | 0.328779 | + | 0.211293i | ||||
\(344\) | −3.33389 | −0.179751 | ||||||||
\(345\) | −0.819440 | − | 4.72531i | −0.0441172 | − | 0.254402i | ||||
\(346\) | 18.1411 | 0.975270 | ||||||||
\(347\) | 16.3505 | + | 10.5078i | 0.877739 | + | 0.564089i | 0.900111 | − | 0.435661i | \(-0.143485\pi\) |
−0.0223714 | + | 0.999750i | \(0.507122\pi\) | |||||||
\(348\) | −0.628699 | − | 4.37270i | −0.0337018 | − | 0.234401i | ||||
\(349\) | 3.93021 | + | 8.60596i | 0.210379 | + | 0.460666i | 0.985177 | − | 0.171543i | \(-0.0548754\pi\) |
−0.774797 | + | 0.632210i | \(0.782148\pi\) | |||||||
\(350\) | 3.31018 | + | 0.971955i | 0.176936 | + | 0.0519532i | ||||
\(351\) | 1.21179 | − | 2.65345i | 0.0646805 | − | 0.141631i | ||||
\(352\) | −2.33962 | + | 2.70006i | −0.124702 | + | 0.143914i | ||||
\(353\) | 4.96524 | − | 34.5340i | 0.264273 | − | 1.83806i | −0.235463 | − | 0.971883i | \(-0.575661\pi\) |
0.499737 | − | 0.866177i | \(-0.333430\pi\) | |||||||
\(354\) | 2.19510 | − | 0.644538i | 0.116668 | − | 0.0342568i | ||||
\(355\) | 3.00530 | + | 3.46830i | 0.159505 | + | 0.184078i | ||||
\(356\) | −9.20335 | + | 5.91464i | −0.487777 | + | 0.313475i | ||||
\(357\) | 5.81152 | − | 3.73484i | 0.307578 | − | 0.197669i | ||||
\(358\) | −0.656851 | − | 0.758046i | −0.0347157 | − | 0.0400640i | ||||
\(359\) | 18.4440 | − | 5.41566i | 0.973439 | − | 0.285827i | 0.243925 | − | 0.969794i | \(-0.421565\pi\) |
0.729513 | + | 0.683967i | \(0.239747\pi\) | |||||||
\(360\) | 0.142315 | − | 0.989821i | 0.00750065 | − | 0.0521682i | ||||
\(361\) | 11.9313 | − | 13.7695i | 0.627964 | − | 0.724709i | ||||
\(362\) | −4.97772 | + | 10.8997i | −0.261623 | + | 0.572875i | ||||
\(363\) | 1.69269 | + | 0.497020i | 0.0888434 | + | 0.0260868i | ||||
\(364\) | 4.18057 | + | 9.15418i | 0.219122 | + | 0.479809i | ||||
\(365\) | −0.218519 | − | 1.51984i | −0.0114378 | − | 0.0795519i | ||||
\(366\) | −0.362970 | − | 0.233267i | −0.0189727 | − | 0.0121930i | ||||
\(367\) | 22.9467 | 1.19781 | 0.598905 | − | 0.800820i | \(-0.295603\pi\) | ||||
0.598905 | + | 0.800820i | \(0.295603\pi\) | |||||||
\(368\) | 1.86534 | − | 4.41820i | 0.0972374 | − | 0.230315i | ||||
\(369\) | 8.02456 | 0.417742 | ||||||||
\(370\) | 2.34878 | + | 1.50947i | 0.122107 | + | 0.0784734i | ||||
\(371\) | 1.54878 | + | 10.7720i | 0.0804085 | + | 0.559253i | ||||
\(372\) | −0.741785 | − | 1.62428i | −0.0384598 | − | 0.0842152i | ||||
\(373\) | −17.2684 | − | 5.07045i | −0.894122 | − | 0.262538i | −0.197778 | − | 0.980247i | \(-0.563373\pi\) |
−0.696343 | + | 0.717709i | \(0.745191\pi\) | |||||||
\(374\) | 2.97189 | − | 6.50752i | 0.153673 | − | 0.336496i | ||||
\(375\) | −0.654861 | + | 0.755750i | −0.0338169 | + | 0.0390267i | ||||
\(376\) | 0.948203 | − | 6.59490i | 0.0488998 | − | 0.340106i | ||||
\(377\) | −12.3646 | + | 3.63057i | −0.636808 | + | 0.186984i | ||||
\(378\) | −2.25922 | − | 2.60728i | −0.116202 | − | 0.134104i | ||||
\(379\) | −26.8009 | + | 17.2239i | −1.37667 | + | 0.884731i | −0.999148 | − | 0.0412703i | \(-0.986860\pi\) |
−0.377520 | + | 0.926001i | \(0.623223\pi\) | |||||||
\(380\) | 0.743151 | − | 0.477594i | 0.0381229 | − | 0.0245001i | ||||
\(381\) | 13.2010 | + | 15.2348i | 0.676309 | + | 0.780502i | ||||
\(382\) | −16.9158 | + | 4.96694i | −0.865490 | + | 0.254131i | ||||
\(383\) | 1.32646 | − | 9.22570i | 0.0677787 | − | 0.471411i | −0.927458 | − | 0.373927i | \(-0.878011\pi\) |
0.995237 | − | 0.0974848i | \(-0.0310797\pi\) | |||||||
\(384\) | 0.654861 | − | 0.755750i | 0.0334182 | − | 0.0385667i | ||||
\(385\) | 5.12021 | − | 11.2117i | 0.260950 | − | 0.571400i | ||||
\(386\) | −15.2647 | − | 4.48213i | −0.776955 | − | 0.228134i | ||||
\(387\) | −1.38495 | − | 3.03261i | −0.0704008 | − | 0.154156i | ||||
\(388\) | −0.469330 | − | 3.26426i | −0.0238266 | − | 0.165718i | ||||
\(389\) | 19.4127 | + | 12.4758i | 0.984264 | + | 0.632548i | 0.930610 | − | 0.366012i | \(-0.119277\pi\) |
0.0536535 | + | 0.998560i | \(0.482913\pi\) | |||||||
\(390\) | −2.91706 | −0.147711 | ||||||||
\(391\) | −1.09137 | + | 9.54102i | −0.0551928 | + | 0.482510i | ||||
\(392\) | 4.90196 | 0.247586 | ||||||||
\(393\) | −10.2780 | − | 6.60530i | −0.518459 | − | 0.333193i | ||||
\(394\) | −2.90138 | − | 20.1795i | −0.146169 | − | 1.01663i | ||||
\(395\) | −2.33239 | − | 5.10721i | −0.117355 | − | 0.256972i | ||||
\(396\) | −3.42798 | − | 1.00654i | −0.172262 | − | 0.0505808i | ||||
\(397\) | 7.77143 | − | 17.0170i | 0.390037 | − | 0.854061i | −0.608147 | − | 0.793824i | \(-0.708087\pi\) |
0.998184 | − | 0.0602371i | \(-0.0191857\pi\) | |||||||
\(398\) | 2.69860 | − | 3.11435i | 0.135269 | − | 0.156108i | ||||
\(399\) | 0.433720 | − | 3.01659i | 0.0217132 | − | 0.151018i | ||||
\(400\) | −0.959493 | + | 0.281733i | −0.0479746 | + | 0.0140866i | ||||
\(401\) | −12.6891 | − | 14.6440i | −0.633661 | − | 0.731284i | 0.344579 | − | 0.938757i | \(-0.388022\pi\) |
−0.978241 | + | 0.207473i | \(0.933476\pi\) | |||||||
\(402\) | 4.69226 | − | 3.01553i | 0.234028 | − | 0.150401i | ||||
\(403\) | −4.38195 | + | 2.81611i | −0.218281 | + | 0.140280i | ||||
\(404\) | −9.66262 | − | 11.1513i | −0.480733 | − | 0.554796i | ||||
\(405\) | 0.959493 | − | 0.281733i | 0.0476776 | − | 0.0139994i | ||||
\(406\) | −2.16896 | + | 15.0855i | −0.107644 | + | 0.748679i | ||||
\(407\) | 6.53220 | − | 7.53856i | 0.323789 | − | 0.373673i | ||||
\(408\) | −0.831833 | + | 1.82146i | −0.0411819 | + | 0.0901757i | ||||
\(409\) | 15.0320 | + | 4.41380i | 0.743286 | + | 0.218248i | 0.631383 | − | 0.775471i | \(-0.282487\pi\) |
0.111902 | + | 0.993719i | \(0.464306\pi\) | |||||||
\(410\) | −3.33352 | − | 7.29940i | −0.164631 | − | 0.360491i | ||||
\(411\) | −2.08685 | − | 14.5144i | −0.102937 | − | 0.715941i | ||||
\(412\) | 13.1280 | + | 8.43685i | 0.646770 | + | 0.415654i | ||||
\(413\) | −7.89261 | −0.388370 | ||||||||
\(414\) | 4.79383 | − | 0.138618i | 0.235604 | − | 0.00681272i | ||||
\(415\) | 16.6756 | 0.818572 | ||||||||
\(416\) | −2.45398 | − | 1.57708i | −0.120316 | − | 0.0773227i | ||||
\(417\) | 1.17537 | + | 8.17490i | 0.0575583 | + | 0.400327i | ||||
\(418\) | −1.31108 | − | 2.87086i | −0.0641269 | − | 0.140418i | ||||
\(419\) | −0.259147 | − | 0.0760924i | −0.0126601 | − | 0.00371735i | 0.275396 | − | 0.961331i | \(-0.411191\pi\) |
−0.288056 | + | 0.957613i | \(0.593009\pi\) | |||||||
\(420\) | −1.43315 | + | 3.13816i | −0.0699305 | + | 0.153126i | ||||
\(421\) | −11.7970 | + | 13.6144i | −0.574948 | + | 0.663526i | −0.966511 | − | 0.256626i | \(-0.917389\pi\) |
0.391562 | + | 0.920152i | \(0.371935\pi\) | |||||||
\(422\) | −1.63288 | + | 11.3569i | −0.0794874 | + | 0.552847i | ||||
\(423\) | 6.39283 | − | 1.87710i | 0.310830 | − | 0.0912679i | ||||
\(424\) | −2.06575 | − | 2.38401i | −0.100322 | − | 0.115778i | ||||
\(425\) | 1.68454 | − | 1.08259i | 0.0817121 | − | 0.0525132i | ||||
\(426\) | −3.86069 | + | 2.48112i | −0.187051 | + | 0.120210i | ||||
\(427\) | 0.974769 | + | 1.12494i | 0.0471724 | + | 0.0544399i | ||||
\(428\) | 8.43970 | − | 2.47812i | 0.407948 | − | 0.119784i | ||||
\(429\) | −1.48317 | + | 10.3157i | −0.0716081 | + | 0.498045i | ||||
\(430\) | −2.18323 | + | 2.51958i | −0.105285 | + | 0.121505i | ||||
\(431\) | −9.47823 | + | 20.7544i | −0.456550 | + | 0.999706i | 0.531710 | + | 0.846926i | \(0.321550\pi\) |
−0.988260 | + | 0.152779i | \(0.951178\pi\) | |||||||
\(432\) | 0.959493 | + | 0.281733i | 0.0461636 | + | 0.0135549i | ||||
\(433\) | 8.04525 | + | 17.6166i | 0.386630 | + | 0.846602i | 0.998453 | + | 0.0556068i | \(0.0177093\pi\) |
−0.611823 | + | 0.790995i | \(0.709563\pi\) | |||||||
\(434\) | 0.876709 | + | 6.09765i | 0.0420834 | + | 0.292696i | ||||
\(435\) | −3.71638 | − | 2.38837i | −0.178187 | − | 0.114514i | ||||
\(436\) | 14.7335 | 0.705606 | ||||||||
\(437\) | 2.86575 | + | 3.12026i | 0.137087 | + | 0.149262i | ||||
\(438\) | 1.53547 | 0.0733674 | ||||||||
\(439\) | 30.9917 | + | 19.9171i | 1.47915 | + | 0.950593i | 0.997230 | + | 0.0743777i | \(0.0236970\pi\) |
0.481921 | + | 0.876215i | \(0.339939\pi\) | |||||||
\(440\) | 0.508448 | + | 3.53633i | 0.0242393 | + | 0.168588i | ||||
\(441\) | 2.03635 | + | 4.45898i | 0.0969689 | + | 0.212332i | ||||
\(442\) | 5.60454 | + | 1.64564i | 0.266581 | + | 0.0782752i | ||||
\(443\) | 14.2737 | − | 31.2551i | 0.678165 | − | 1.48497i | −0.186411 | − | 0.982472i | \(-0.559685\pi\) |
0.864576 | − | 0.502502i | \(-0.167587\pi\) | |||||||
\(444\) | −1.82837 | + | 2.11005i | −0.0867705 | + | 0.100138i | ||||
\(445\) | −1.55693 | + | 10.8287i | −0.0738056 | + | 0.513329i | ||||
\(446\) | 4.01891 | − | 1.18006i | 0.190301 | − | 0.0558774i | ||||
\(447\) | −12.9435 | − | 14.9376i | −0.612208 | − | 0.706526i | ||||
\(448\) | −2.90226 | + | 1.86517i | −0.137119 | + | 0.0881209i | ||||
\(449\) | −22.6309 | + | 14.5440i | −1.06802 | + | 0.686375i | −0.951760 | − | 0.306844i | \(-0.900727\pi\) |
−0.116260 | + | 0.993219i | \(0.537091\pi\) | |||||||
\(450\) | −0.654861 | − | 0.755750i | −0.0308704 | − | 0.0356264i | ||||
\(451\) | −27.5080 | + | 8.07708i | −1.29530 | + | 0.380335i | ||||
\(452\) | 2.61713 | − | 18.2025i | 0.123099 | − | 0.856174i | ||||
\(453\) | −6.27561 | + | 7.24244i | −0.294854 | + | 0.340279i | ||||
\(454\) | 6.75265 | − | 14.7862i | 0.316918 | − | 0.693953i | ||||
\(455\) | 9.65596 | + | 2.83525i | 0.452679 | + | 0.132918i | ||||
\(456\) | 0.366972 | + | 0.803556i | 0.0171850 | + | 0.0376299i | ||||
\(457\) | 3.96111 | + | 27.5501i | 0.185293 | + | 1.28874i | 0.844001 | + | 0.536341i | \(0.180194\pi\) |
−0.658709 | + | 0.752398i | \(0.728897\pi\) | |||||||
\(458\) | 4.93520 | + | 3.17166i | 0.230607 | + | 0.148202i | ||||
\(459\) | −2.00241 | −0.0934647 | ||||||||
\(460\) | −2.11752 | − | 4.30303i | −0.0987299 | − | 0.200630i | ||||
\(461\) | 13.8343 | 0.644327 | 0.322163 | − | 0.946684i | \(-0.395590\pi\) | ||||
0.322163 | + | 0.946684i | \(0.395590\pi\) | |||||||
\(462\) | 10.3689 | + | 6.66368i | 0.482404 | + | 0.310022i | ||||
\(463\) | 3.60814 | + | 25.0952i | 0.167685 | + | 1.16627i | 0.883654 | + | 0.468140i | \(0.155076\pi\) |
−0.715970 | + | 0.698131i | \(0.754015\pi\) | |||||||
\(464\) | −1.83516 | − | 4.01845i | −0.0851954 | − | 0.186552i | ||||
\(465\) | −1.71332 | − | 0.503076i | −0.0794532 | − | 0.0233296i | ||||
\(466\) | −9.16593 | + | 20.0706i | −0.424604 | + | 0.929752i | ||||
\(467\) | −11.7828 | + | 13.5981i | −0.545245 | + | 0.629246i | −0.959769 | − | 0.280792i | \(-0.909403\pi\) |
0.414524 | + | 0.910039i | \(0.363948\pi\) | |||||||
\(468\) | 0.415140 | − | 2.88736i | 0.0191899 | − | 0.133468i | ||||
\(469\) | −18.4631 | + | 5.42127i | −0.852549 | + | 0.250331i | ||||
\(470\) | −4.36315 | − | 5.03534i | −0.201257 | − | 0.232263i | ||||
\(471\) | 10.9718 | − | 7.05115i | 0.505554 | − | 0.324900i | ||||
\(472\) | 1.92459 | − | 1.23686i | 0.0885865 | − | 0.0569311i | ||||
\(473\) | 7.80003 | + | 9.00171i | 0.358646 | + | 0.413899i | ||||
\(474\) | 5.38716 | − | 1.58181i | 0.247441 | − | 0.0726551i | ||||
\(475\) | 0.125719 | − | 0.874394i | 0.00576838 | − | 0.0401199i | ||||
\(476\) | 4.52389 | − | 5.22085i | 0.207352 | − | 0.239297i | ||||
\(477\) | 1.31042 | − | 2.86943i | 0.0600002 | − | 0.131382i | ||||
\(478\) | −6.00657 | − | 1.76369i | −0.274734 | − | 0.0806693i | ||||
\(479\) | 7.02663 | + | 15.3862i | 0.321055 | + | 0.703012i | 0.999499 | − | 0.0316398i | \(-0.0100729\pi\) |
−0.678445 | + | 0.734652i | \(0.737346\pi\) | |||||||
\(480\) | −0.142315 | − | 0.989821i | −0.00649575 | − | 0.0451790i | ||||
\(481\) | 6.85151 | + | 4.40320i | 0.312402 | + | 0.200768i | ||||
\(482\) | 0.321674 | 0.0146518 | ||||||||
\(483\) | −16.0031 | − | 4.20053i | −0.728168 | − | 0.191131i | ||||
\(484\) | 1.76416 | 0.0801889 | ||||||||
\(485\) | −2.77431 | − | 1.78294i | −0.125975 | − | 0.0809592i | ||||
\(486\) | 0.142315 | + | 0.989821i | 0.00645553 | + | 0.0448992i | ||||
\(487\) | −13.2410 | − | 28.9938i | −0.600009 | − | 1.31384i | −0.929202 | − | 0.369573i | \(-0.879504\pi\) |
0.329193 | − | 0.944263i | \(-0.393223\pi\) | |||||||
\(488\) | −0.413986 | − | 0.121557i | −0.0187403 | − | 0.00550264i | ||||
\(489\) | 2.16087 | − | 4.73165i | 0.0977181 | − | 0.213973i | ||||
\(490\) | 3.21010 | − | 3.70465i | 0.145017 | − | 0.167359i | ||||
\(491\) | −3.09971 | + | 21.5590i | −0.139888 | + | 0.972942i | 0.792084 | + | 0.610412i | \(0.208996\pi\) |
−0.931972 | + | 0.362530i | \(0.881913\pi\) | |||||||
\(492\) | 7.69951 | − | 2.26078i | 0.347121 | − | 0.101924i | ||||
\(493\) | 5.79290 | + | 6.68536i | 0.260899 | + | 0.301093i | ||||
\(494\) | 2.16781 | − | 1.39317i | 0.0975345 | − | 0.0626816i | ||||
\(495\) | −3.00554 | + | 1.93155i | −0.135089 | + | 0.0868165i | ||||
\(496\) | −1.16935 | − | 1.34950i | −0.0525054 | − | 0.0605945i | ||||
\(497\) | 15.1911 | − | 4.46051i | 0.681414 | − | 0.200081i | ||||
\(498\) | −2.37318 | + | 16.5058i | −0.106345 | + | 0.739645i | ||||
\(499\) | −5.34372 | + | 6.16699i | −0.239218 | + | 0.276072i | −0.862646 | − | 0.505809i | \(-0.831194\pi\) |
0.623428 | + | 0.781881i | \(0.285740\pi\) | |||||||
\(500\) | −0.415415 | + | 0.909632i | −0.0185779 | + | 0.0406800i | ||||
\(501\) | −0.140387 | − | 0.0412212i | −0.00627201 | − | 0.00184163i | ||||
\(502\) | 3.96072 | + | 8.67276i | 0.176775 | + | 0.387084i | ||||
\(503\) | −0.132378 | − | 0.920708i | −0.00590243 | − | 0.0410523i | 0.986657 | − | 0.162810i | \(-0.0520559\pi\) |
−0.992560 | + | 0.121758i | \(0.961147\pi\) | |||||||
\(504\) | −2.90226 | − | 1.86517i | −0.129277 | − | 0.0830812i | ||||
\(505\) | −14.7552 | −0.656599 | ||||||||
\(506\) | −16.2936 | + | 5.30038i | −0.724339 | + | 0.235631i | ||||
\(507\) | 4.49079 | 0.199443 | ||||||||
\(508\) | 16.9584 | + | 10.8985i | 0.752408 | + | 0.483543i | ||||
\(509\) | −3.04140 | − | 21.1534i | −0.134807 | − | 0.937607i | −0.939166 | − | 0.343463i | \(-0.888400\pi\) |
0.804359 | − | 0.594144i | \(-0.202509\pi\) | |||||||
\(510\) | 0.831833 | + | 1.82146i | 0.0368342 | + | 0.0806556i | ||||
\(511\) | −5.08266 | − | 1.49240i | −0.224844 | − | 0.0660200i | ||||
\(512\) | 0.415415 | − | 0.909632i | 0.0183589 | − | 0.0402004i | ||||
\(513\) | −0.578494 | + | 0.667618i | −0.0255412 | + | 0.0294761i | ||||
\(514\) | −1.63303 | + | 11.3579i | −0.0720297 | + | 0.500977i | ||||
\(515\) | 14.9732 | − | 4.39651i | 0.659796 | − | 0.193734i | ||||
\(516\) | −2.18323 | − | 2.51958i | −0.0961115 | − | 0.110919i | ||||
\(517\) | −20.0251 | + | 12.8693i | −0.880702 | + | 0.565993i | ||||
\(518\) | 8.10309 | − | 5.20754i | 0.356029 | − | 0.228806i | ||||
\(519\) | 11.8799 | + | 13.7101i | 0.521468 | + | 0.601807i | ||||
\(520\) | −2.79889 | + | 0.821829i | −0.122740 | + | 0.0360396i | ||||
\(521\) | 0.446868 | − | 3.10803i | 0.0195776 | − | 0.136165i | −0.977688 | − | 0.210060i | \(-0.932634\pi\) |
0.997266 | + | 0.0738951i | \(0.0235430\pi\) | |||||||
\(522\) | 2.89296 | − | 3.33865i | 0.126621 | − | 0.146129i | ||||
\(523\) | 13.6560 | − | 29.9025i | 0.597136 | − | 1.30755i | −0.333897 | − | 0.942610i | \(-0.608364\pi\) |
0.931033 | − | 0.364936i | \(-0.118909\pi\) | |||||||
\(524\) | −11.7226 | − | 3.44208i | −0.512106 | − | 0.150368i | ||||
\(525\) | 1.43315 | + | 3.13816i | 0.0625478 | + | 0.136960i | ||||
\(526\) | 2.38725 | + | 16.6037i | 0.104089 | + | 0.723956i | ||||
\(527\) | 3.00799 | + | 1.93312i | 0.131030 | + | 0.0842080i | ||||
\(528\) | −3.57270 | −0.155482 | ||||||||
\(529\) | 18.5980 | − | 13.5320i | 0.808608 | − | 0.588348i | ||||
\(530\) | −3.15449 | −0.137022 | ||||||||
\(531\) | 1.92459 | + | 1.23686i | 0.0835202 | + | 0.0536751i | ||||
\(532\) | −0.433720 | − | 3.01659i | −0.0188042 | − | 0.130786i | ||||
\(533\) | −9.72407 | − | 21.2927i | −0.421196 | − | 0.922291i | ||||
\(534\) | −10.4969 | − | 3.08217i | −0.454245 | − | 0.133378i | ||||
\(535\) | 3.65399 | − | 8.00113i | 0.157976 | − | 0.345919i | ||||
\(536\) | 3.65261 | − | 4.21534i | 0.157769 | − | 0.182075i | ||||
\(537\) | 0.142747 | − | 0.992830i | 0.00616000 | − | 0.0428438i | ||||
\(538\) | −7.95615 | + | 2.33614i | −0.343014 | + | 0.100718i | ||||
\(539\) | −11.4687 | − | 13.2356i | −0.493992 | − | 0.570097i | ||||
\(540\) | 0.841254 | − | 0.540641i | 0.0362018 | − | 0.0232655i | ||||
\(541\) | −16.0471 | + | 10.3129i | −0.689921 | + | 0.443385i | −0.838058 | − | 0.545582i | \(-0.816309\pi\) |
0.148137 | + | 0.988967i | \(0.452672\pi\) | |||||||
\(542\) | −7.20850 | − | 8.31905i | −0.309632 | − | 0.357334i | ||||
\(543\) | −11.4971 | + | 3.37587i | −0.493390 | + | 0.144872i | ||||
\(544\) | −0.284973 | + | 1.98203i | −0.0122181 | + | 0.0849789i | ||||
\(545\) | 9.64838 | − | 11.1348i | 0.413291 | − | 0.476963i | ||||
\(546\) | −4.18057 | + | 9.15418i | −0.178912 | + | 0.391763i | ||||
\(547\) | −1.10924 | − | 0.325702i | −0.0474276 | − | 0.0139260i | 0.257933 | − | 0.966163i | \(-0.416959\pi\) |
−0.305360 | + | 0.952237i | \(0.598777\pi\) | |||||||
\(548\) | −6.09149 | − | 13.3385i | −0.260216 | − | 0.569793i | ||||
\(549\) | −0.0614036 | − | 0.427072i | −0.00262064 | − | 0.0182270i | ||||
\(550\) | 3.00554 | + | 1.93155i | 0.128157 | + | 0.0823614i | ||||
\(551\) | 3.90250 | 0.166252 | ||||||||
\(552\) | 4.56059 | − | 1.48358i | 0.194112 | − | 0.0631454i | ||||
\(553\) | −19.3699 | −0.823692 | ||||||||
\(554\) | 14.4466 | + | 9.28430i | 0.613779 | + | 0.394452i | ||||
\(555\) | 0.397342 | + | 2.76358i | 0.0168662 | + | 0.117307i | ||||
\(556\) | 3.43090 | + | 7.51262i | 0.145503 | + | 0.318606i | ||||
\(557\) | 19.4224 | + | 5.70293i | 0.822954 | + | 0.241641i | 0.665987 | − | 0.745963i | \(-0.268010\pi\) |
0.156966 | + | 0.987604i | \(0.449829\pi\) | |||||||
\(558\) | 0.741785 | − | 1.62428i | 0.0314023 | − | 0.0687614i | ||||
\(559\) | −6.36861 | + | 7.34977i | −0.269364 | + | 0.310862i | ||||
\(560\) | −0.490975 | + | 3.41481i | −0.0207475 | + | 0.144302i | ||||
\(561\) | 6.86423 | − | 2.01552i | 0.289808 | − | 0.0850953i | ||||
\(562\) | 5.52528 | + | 6.37651i | 0.233070 | + | 0.268977i | ||||
\(563\) | 33.5785 | − | 21.5796i | 1.41517 | − | 0.909473i | 0.415167 | − | 0.909745i | \(-0.363723\pi\) |
1.00000 | 0.000272706i | \(8.68051e-5\pi\) | ||||||||
\(564\) | 5.60503 | − | 3.60214i | 0.236014 | − | 0.151677i | ||||
\(565\) | −12.0427 | − | 13.8980i | −0.506640 | − | 0.584693i | ||||
\(566\) | −21.3613 | + | 6.27225i | −0.897883 | + | 0.263642i | ||||
\(567\) | 0.490975 | − | 3.41481i | 0.0206190 | − | 0.143408i | ||||
\(568\) | −3.00530 | + | 3.46830i | −0.126099 | + | 0.145526i | ||||
\(569\) | 10.5859 | − | 23.1800i | 0.443785 | − | 0.971754i | −0.547103 | − | 0.837066i | \(-0.684269\pi\) |
0.990888 | − | 0.134689i | \(-0.0430035\pi\) | |||||||
\(570\) | 0.847602 | + | 0.248878i | 0.0355021 | + | 0.0104244i | ||||
\(571\) | −18.0824 | − | 39.5950i | −0.756727 | − | 1.65700i | −0.753887 | − | 0.657004i | \(-0.771823\pi\) |
−0.00283969 | − | 0.999996i | \(-0.500904\pi\) | |||||||
\(572\) | 1.48317 | + | 10.3157i | 0.0620144 | + | 0.431320i | ||||
\(573\) | −14.8313 | − | 9.53149i | −0.619586 | − | 0.398184i | ||||
\(574\) | −27.6841 | −1.15551 | ||||||||
\(575\) | −4.63870 | − | 1.21757i | −0.193447 | − | 0.0507763i | ||||
\(576\) | 1.00000 | 0.0416667 | ||||||||
\(577\) | 31.4207 | + | 20.1928i | 1.30806 | + | 0.840639i | 0.994065 | − | 0.108786i | \(-0.0346962\pi\) |
0.313995 | + | 0.949425i | \(0.398333\pi\) | |||||||
\(578\) | 1.84872 | + | 12.8581i | 0.0768965 | + | 0.534827i | ||||
\(579\) | −6.60891 | − | 14.4715i | −0.274657 | − | 0.601414i | ||||
\(580\) | −4.23872 | − | 1.24460i | −0.176003 | − | 0.0516792i | ||||
\(581\) | 23.8986 | − | 52.3306i | 0.991480 | − | 2.17104i | ||||
\(582\) | 2.15962 | − | 2.49233i | 0.0895191 | − | 0.103311i | ||||
\(583\) | −1.60389 | + | 11.1553i | −0.0664265 | + | 0.462007i | ||||
\(584\) | 1.47327 | − | 0.432591i | 0.0609643 | − | 0.0179007i | ||||
\(585\) | −1.91026 | − | 2.20456i | −0.0789797 | − | 0.0911475i | ||||
\(586\) | 9.78607 | − | 6.28912i | 0.404259 | − | 0.259801i | ||||
\(587\) | 6.11634 | − | 3.93073i | 0.252448 | − | 0.162239i | −0.408296 | − | 0.912849i | \(-0.633877\pi\) |
0.660745 | + | 0.750611i | \(0.270241\pi\) | |||||||
\(588\) | 3.21010 | + | 3.70465i | 0.132382 | + | 0.152777i | ||||
\(589\) | 1.51352 | − | 0.444410i | 0.0623635 | − | 0.0183116i | ||||
\(590\) | 0.325583 | − | 2.26448i | 0.0134040 | − | 0.0932272i | ||||
\(591\) | 13.3507 | − | 15.4075i | 0.549173 | − | 0.633780i | ||||
\(592\) | −1.15984 | + | 2.53969i | −0.0476690 | + | 0.104381i | ||||
\(593\) | −39.1398 | − | 11.4925i | −1.60728 | − | 0.471940i | −0.649719 | − | 0.760174i | \(-0.725113\pi\) |
−0.957560 | + | 0.288235i | \(0.906932\pi\) | |||||||
\(594\) | −1.48415 | − | 3.24984i | −0.0608955 | − | 0.133342i | ||||
\(595\) | −0.983135 | − | 6.83786i | −0.0403046 | − | 0.280325i | ||||
\(596\) | −16.6276 | − | 10.6859i | −0.681095 | − | 0.437713i | ||||
\(597\) | 4.12088 | 0.168656 | ||||||||
\(598\) | −6.17692 | − | 12.5522i | −0.252593 | − | 0.513297i | ||||
\(599\) | 45.3874 | 1.85448 | 0.927239 | − | 0.374470i | \(-0.122175\pi\) | ||||
0.927239 | + | 0.374470i | \(0.122175\pi\) | |||||||
\(600\) | −0.841254 | − | 0.540641i | −0.0343440 | − | 0.0220716i | ||||
\(601\) | −4.69569 | − | 32.6593i | −0.191541 | − | 1.33220i | −0.827930 | − | 0.560831i | \(-0.810482\pi\) |
0.636389 | − | 0.771368i | \(-0.280427\pi\) | |||||||
\(602\) | 4.77796 | + | 10.4623i | 0.194735 | + | 0.426410i | ||||
\(603\) | 5.35176 | + | 1.57142i | 0.217940 | + | 0.0639931i | ||||
\(604\) | −3.98097 | + | 8.71711i | −0.161983 | + | 0.354694i | ||||
\(605\) | 1.15528 | − | 1.33326i | 0.0469687 | − | 0.0542047i | ||||
\(606\) | 2.09989 | − | 14.6050i | 0.0853021 | − | 0.593289i | ||||
\(607\) | −42.3421 | + | 12.4328i | −1.71861 | + | 0.504631i | −0.984647 | − | 0.174555i | \(-0.944151\pi\) |
−0.733967 | + | 0.679186i | \(0.762333\pi\) | |||||||
\(608\) | 0.578494 | + | 0.667618i | 0.0234610 | + | 0.0270755i | ||||
\(609\) | −12.8212 | + | 8.23969i | −0.519542 | + | 0.333889i | ||||
\(610\) | −0.362970 | + | 0.233267i | −0.0146962 | + | 0.00944469i | ||||
\(611\) | −12.7275 | − | 14.6884i | −0.514901 | − | 0.594228i | ||||
\(612\) | −1.92130 | + | 0.564145i | −0.0776640 | + | 0.0228042i | ||||
\(613\) | −3.54682 | + | 24.6687i | −0.143255 | + | 0.996360i | 0.783687 | + | 0.621155i | \(0.213336\pi\) |
−0.926942 | + | 0.375204i | \(0.877573\pi\) | |||||||
\(614\) | 15.2013 | − | 17.5432i | 0.613475 | − | 0.707987i | ||||
\(615\) | 3.33352 | − | 7.29940i | 0.134421 | − | 0.294340i | ||||
\(616\) | 11.8262 | + | 3.47250i | 0.476493 | + | 0.139911i | ||||
\(617\) | −0.150510 | − | 0.329570i | −0.00605929 | − | 0.0132680i | 0.906578 | − | 0.422038i | \(-0.138685\pi\) |
−0.912637 | + | 0.408770i | \(0.865958\pi\) | |||||||
\(618\) | 2.22086 | + | 15.4464i | 0.0893362 | + | 0.621347i | ||||
\(619\) | −19.5685 | − | 12.5759i | −0.786526 | − | 0.505470i | 0.0846675 | − | 0.996409i | \(-0.473017\pi\) |
−0.871194 | + | 0.490940i | \(0.836654\pi\) | |||||||
\(620\) | −1.78565 | −0.0717134 | ||||||||
\(621\) | 3.24405 | + | 3.53216i | 0.130179 | + | 0.141741i | ||||
\(622\) | 13.8232 | 0.554260 | ||||||||
\(623\) | 31.7508 | + | 20.4050i | 1.27207 | + | 0.817510i | ||||
\(624\) | −0.415140 | − | 2.88736i | −0.0166189 | − | 0.115587i | ||||
\(625\) | 0.415415 | + | 0.909632i | 0.0166166 | + | 0.0363853i | ||||
\(626\) | −27.3925 | − | 8.04316i | −1.09482 | − | 0.321470i | ||||
\(627\) | 1.31108 | − | 2.87086i | 0.0523594 | − | 0.114651i | ||||
\(628\) | 8.54083 | − | 9.85664i | 0.340816 | − | 0.393323i | ||||
\(629\) | 0.795644 | − | 5.53382i | 0.0317244 | − | 0.220648i | ||||
\(630\) | −3.31018 | + | 0.971955i | −0.131881 | + | 0.0387236i | ||||
\(631\) | −25.6469 | − | 29.5981i | −1.02099 | − | 1.17828i | −0.983854 | − | 0.178972i | \(-0.942723\pi\) |
−0.0371333 | − | 0.999310i | \(-0.511823\pi\) | |||||||
\(632\) | 4.72329 | − | 3.03548i | 0.187883 | − | 0.120745i | ||||
\(633\) | −9.65231 | + | 6.20316i | −0.383645 | + | 0.246554i | ||||
\(634\) | −2.32912 | − | 2.68794i | −0.0925010 | − | 0.106752i | ||||
\(635\) | 19.3419 | − | 5.67931i | 0.767562 | − | 0.225376i | ||||
\(636\) | 0.448931 | − | 3.12239i | 0.0178013 | − | 0.123811i | ||||
\(637\) | 9.36404 | − | 10.8067i | 0.371017 | − | 0.428176i | ||||
\(638\) | −6.55649 | + | 14.3567i | −0.259574 | + | 0.568387i | ||||
\(639\) | −4.40332 | − | 1.29293i | −0.174193 | − | 0.0511475i | ||||
\(640\) | −0.415415 | − | 0.909632i | −0.0164207 | − | 0.0359564i | ||||
\(641\) | −3.23735 | − | 22.5163i | −0.127868 | − | 0.889340i | −0.948250 | − | 0.317525i | \(-0.897148\pi\) |
0.820382 | − | 0.571816i | \(-0.193761\pi\) | |||||||
\(642\) | 7.39967 | + | 4.75548i | 0.292042 | + | 0.187684i | ||||
\(643\) | 0.617140 | 0.0243376 | 0.0121688 | − | 0.999926i | \(-0.496126\pi\) | ||||
0.0121688 | + | 0.999926i | \(0.496126\pi\) | |||||||
\(644\) | −16.5383 | + | 0.478223i | −0.651701 | + | 0.0188446i | ||||
\(645\) | −3.33389 | −0.131272 | ||||||||
\(646\) | −1.48810 | − | 0.956341i | −0.0585484 | − | 0.0376268i | ||||
\(647\) | −0.753992 | − | 5.24413i | −0.0296425 | − | 0.206168i | 0.969618 | − | 0.244625i | \(-0.0786648\pi\) |
−0.999260 | + | 0.0384570i | \(0.987756\pi\) | |||||||
\(648\) | 0.415415 | + | 0.909632i | 0.0163190 | + | 0.0357337i | ||||
\(649\) | −7.84241 | − | 2.30274i | −0.307841 | − | 0.0903904i | ||||
\(650\) | −1.21179 | + | 2.65345i | −0.0475303 | + | 0.104077i | ||||
\(651\) | −4.03417 | + | 4.65568i | −0.158112 | + | 0.182471i | ||||
\(652\) | 0.740282 | − | 5.14878i | 0.0289917 | − | 0.201642i | ||||
\(653\) | −28.6830 | + | 8.42208i | −1.12245 | + | 0.329582i | −0.789737 | − | 0.613446i | \(-0.789783\pi\) |
−0.332715 | + | 0.943027i | \(0.607965\pi\) | |||||||
\(654\) | 9.64838 | + | 11.1348i | 0.377282 | + | 0.435406i | ||||
\(655\) | −10.2780 | + | 6.60530i | −0.401596 | + | 0.258090i | ||||
\(656\) | 6.75069 | − | 4.33840i | 0.263570 | − | 0.169386i | ||||
\(657\) | 1.00552 | + | 1.16043i | 0.0392289 | + | 0.0452726i | ||||
\(658\) | −22.0548 | + | 6.47586i | −0.859784 | + | 0.252455i | ||||
\(659\) | 1.47779 | − | 10.2782i | 0.0575664 | − | 0.400383i | −0.940583 | − | 0.339565i | \(-0.889720\pi\) |
0.998149 | − | 0.0608177i | \(-0.0193708\pi\) | |||||||
\(660\) | −2.33962 | + | 2.70006i | −0.0910695 | + | 0.105100i | ||||
\(661\) | −1.23883 | + | 2.71266i | −0.0481849 | + | 0.105510i | −0.932193 | − | 0.361961i | \(-0.882107\pi\) |
0.884008 | + | 0.467471i | \(0.154835\pi\) | |||||||
\(662\) | −11.4186 | − | 3.35282i | −0.443798 | − | 0.130311i | ||||
\(663\) | 2.42650 | + | 5.31330i | 0.0942375 | + | 0.206351i | ||||
\(664\) | 2.37318 | + | 16.5058i | 0.0920973 | + | 0.640551i | ||||
\(665\) | −2.56381 | − | 1.64766i | −0.0994204 | − | 0.0638936i | ||||
\(666\) | −2.79200 | −0.108188 | ||||||||
\(667\) | 2.40774 | − | 21.0491i | 0.0932281 | − | 0.815025i | ||||
\(668\) | −0.146313 | −0.00566103 | ||||||||
\(669\) | 3.52366 | + | 2.26452i | 0.136233 | + | 0.0875513i | ||||
\(670\) | −0.793789 | − | 5.52092i | −0.0306667 | − | 0.213292i | ||||
\(671\) | 0.640357 | + | 1.40219i | 0.0247207 | + | 0.0541308i | ||||
\(672\) | −3.31018 | − | 0.971955i | −0.127693 | − | 0.0374940i | ||||
\(673\) | 0.691741 | − | 1.51470i | 0.0266647 | − | 0.0583875i | −0.895831 | − | 0.444395i | \(-0.853419\pi\) |
0.922496 | + | 0.386007i | \(0.126146\pi\) | |||||||
\(674\) | −20.0646 | + | 23.1558i | −0.772861 | + | 0.891929i | ||||
\(675\) | 0.142315 | − | 0.989821i | 0.00547770 | − | 0.0380982i | ||||
\(676\) | 4.30888 | − | 1.26520i | 0.165726 | − | 0.0486616i | ||||
\(677\) | −10.9338 | − | 12.6183i | −0.420220 | − | 0.484960i | 0.505684 | − | 0.862719i | \(-0.331240\pi\) |
−0.925904 | + | 0.377759i | \(0.876695\pi\) | |||||||
\(678\) | 15.4704 | − | 9.94222i | 0.594137 | − | 0.381829i | ||||
\(679\) | −9.57116 | + | 6.15101i | −0.367307 | + | 0.236054i | ||||
\(680\) | 1.31130 | + | 1.51332i | 0.0502861 | + | 0.0580333i | ||||
\(681\) | 15.5967 | − | 4.57962i | 0.597668 | − | 0.175491i | ||||
\(682\) | −0.907909 | + | 6.31465i | −0.0347656 | + | 0.241800i | ||||
\(683\) | 13.1410 | − | 15.1655i | 0.502825 | − | 0.580291i | −0.446422 | − | 0.894823i | \(-0.647302\pi\) |
0.949247 | + | 0.314532i | \(0.101847\pi\) | |||||||
\(684\) | −0.366972 | + | 0.803556i | −0.0140315 | + | 0.0307247i | ||||
\(685\) | −14.0696 | − | 4.13122i | −0.537574 | − | 0.157846i | ||||
\(686\) | 3.00681 | + | 6.58399i | 0.114800 | + | 0.251378i | ||||
\(687\) | 0.834888 | + | 5.80677i | 0.0318530 | + | 0.221542i | ||||
\(688\) | −2.80465 | − | 1.80244i | −0.106926 | − | 0.0687172i | ||||
\(689\) | −9.20183 | −0.350562 | ||||||||
\(690\) | 1.86534 | − | 4.41820i | 0.0710121 | − | 0.168198i | ||||
\(691\) | −42.5140 | −1.61731 | −0.808654 | − | 0.588284i | \(-0.799804\pi\) | ||||
−0.808654 | + | 0.588284i | \(0.799804\pi\) | |||||||
\(692\) | 15.2612 | + | 9.80780i | 0.580145 | + | 0.372837i | ||||
\(693\) | 1.75410 | + | 12.2001i | 0.0666329 | + | 0.463442i | ||||
\(694\) | 8.07394 | + | 17.6795i | 0.306483 | + | 0.671103i | ||||
\(695\) | 7.92442 | + | 2.32682i | 0.300591 | + | 0.0882613i | ||||
\(696\) | 1.83516 | − | 4.01845i | 0.0695617 | − | 0.152319i | ||||
\(697\) | −10.5226 | + | 12.1438i | −0.398573 | + | 0.459978i | ||||
\(698\) | −1.34643 | + | 9.36463i | −0.0509631 | + | 0.354456i | ||||
\(699\) | −21.1708 | + | 6.21629i | −0.800751 | + | 0.235122i | ||||
\(700\) | 2.25922 | + | 2.60728i | 0.0853904 | + | 0.0985458i | ||||
\(701\) | 4.59536 | − | 2.95326i | 0.173564 | − | 0.111543i | −0.450974 | − | 0.892537i | \(-0.648923\pi\) |
0.624539 | + | 0.780994i | \(0.285287\pi\) | |||||||
\(702\) | 2.45398 | − | 1.57708i | 0.0926196 | − | 0.0595230i | ||||
\(703\) | −1.61515 | − | 1.86399i | −0.0609167 | − | 0.0703016i | ||||
\(704\) | −3.42798 | + | 1.00654i | −0.129197 | + | 0.0379356i | ||||
\(705\) | 0.948203 | − | 6.59490i | 0.0357114 | − | 0.248378i | ||||
\(706\) | 22.8475 | − | 26.3675i | 0.859878 | − | 0.992352i | ||||
\(707\) | −21.1464 | + | 46.3042i | −0.795293 | + | 1.74145i | ||||
\(708\) | 2.19510 | + | 0.644538i | 0.0824968 | + | 0.0242232i | ||||
\(709\) | 13.7314 | + | 30.0676i | 0.515694 | + | 1.12921i | 0.971044 | + | 0.238899i | \(0.0767866\pi\) |
−0.455351 | + | 0.890312i | \(0.650486\pi\) | |||||||
\(710\) | 0.653113 | + | 4.54250i | 0.0245109 | + | 0.170477i | ||||
\(711\) | 4.72329 | + | 3.03548i | 0.177137 | + | 0.113839i | ||||
\(712\) | −10.9400 | −0.409996 | ||||||||
\(713\) | −1.46323 | − | 8.43774i | −0.0547985 | − | 0.315996i | ||||
\(714\) | 6.90817 | 0.258532 | ||||||||
\(715\) | 8.76733 | + | 5.63442i | 0.327880 | + | 0.210715i | ||||
\(716\) | −0.142747 | − | 0.992830i | −0.00533472 | − | 0.0371038i | ||||
\(717\) | −2.60056 | − | 5.69444i | −0.0971198 | − | 0.212663i | ||||
\(718\) | 18.4440 | + | 5.41566i | 0.688325 | + | 0.202110i | ||||
\(719\) | −11.8243 | + | 25.8916i | −0.440971 | + | 0.965593i | 0.550447 | + | 0.834870i | \(0.314457\pi\) |
−0.991419 | + | 0.130723i | \(0.958270\pi\) | |||||||
\(720\) | 0.654861 | − | 0.755750i | 0.0244052 | − | 0.0281651i | ||||
\(721\) | 7.66180 | − | 53.2890i | 0.285340 | − | 1.98459i | ||||
\(722\) | 17.4816 | − | 5.13306i | 0.650598 | − | 0.191033i | ||||
\(723\) | 0.210652 | + | 0.243105i | 0.00783421 | + | 0.00904117i | ||||
\(724\) | −10.0803 | + | 6.47824i | −0.374633 | + | 0.240762i | ||||
\(725\) | −3.71638 | + | 2.38837i | −0.138023 | + | 0.0887019i | ||||
\(726\) | 1.15528 | + | 1.33326i | 0.0428763 | + | 0.0494819i | ||||
\(727\) | 39.9797 | − | 11.7391i | 1.48276 | − | 0.435379i | 0.562539 | − | 0.826771i | \(-0.309824\pi\) |
0.920224 | + | 0.391392i | \(0.128006\pi\) | |||||||
\(728\) | −1.43220 | + | 9.96118i | −0.0530809 | + | 0.369186i | ||||
\(729\) | −0.654861 | + | 0.755750i | −0.0242541 | + | 0.0279907i | ||||
\(730\) | 0.637855 | − | 1.39671i | 0.0236081 | − | 0.0516945i | ||||
\(731\) | 6.40541 | + | 1.88080i | 0.236913 | + | 0.0695638i | ||||
\(732\) | −0.179236 | − | 0.392473i | −0.00662476 | − | 0.0145062i | ||||
\(733\) | 4.12562 | + | 28.6943i | 0.152383 | + | 1.05985i | 0.912210 | + | 0.409723i | \(0.134375\pi\) |
−0.759827 | + | 0.650126i | \(0.774716\pi\) | |||||||
\(734\) | 19.3040 | + | 12.4059i | 0.712524 | + | 0.457911i | ||||
\(735\) | 4.90196 | 0.180811 | ||||||||
\(736\) | 3.95788 | − | 2.70835i | 0.145889 | − | 0.0998312i | ||||
\(737\) | −19.9274 | −0.734035 | ||||||||
\(738\) | 6.75069 | + | 4.33840i | 0.248496 | + | 0.159699i | ||||
\(739\) | −2.14188 | − | 14.8971i | −0.0787905 | − | 0.548000i | −0.990537 | − | 0.137246i | \(-0.956175\pi\) |
0.911746 | − | 0.410753i | \(-0.134734\pi\) | |||||||
\(740\) | 1.15984 | + | 2.53969i | 0.0426364 | + | 0.0933608i | ||||
\(741\) | 2.47250 | + | 0.725992i | 0.0908296 | + | 0.0266700i | ||||
\(742\) | −4.52086 | + | 9.89930i | −0.165966 | + | 0.363415i | ||||
\(743\) | −11.8152 | + | 13.6355i | −0.433457 | + | 0.500237i | −0.929889 | − | 0.367839i | \(-0.880098\pi\) |
0.496432 | + | 0.868076i | \(0.334643\pi\) | |||||||
\(744\) | 0.254124 | − | 1.76747i | 0.00931665 | − | 0.0647987i | ||||
\(745\) | −18.9647 | + | 5.56854i | −0.694812 | + | 0.204015i | ||||
\(746\) | −11.7858 | − | 13.6015i | −0.431508 | − | 0.497987i | ||||
\(747\) | −14.0284 | + | 9.01550i | −0.513272 | + | 0.329860i | ||||
\(748\) | 6.01834 | − | 3.86775i | 0.220052 | − | 0.141419i | ||||
\(749\) | −19.8721 | − | 22.9336i | −0.726110 | − | 0.837976i | ||||
\(750\) | −0.959493 | + | 0.281733i | −0.0350357 | + | 0.0102874i | ||||
\(751\) | 3.89754 | − | 27.1080i | 0.142223 | − | 0.989184i | −0.786283 | − | 0.617867i | \(-0.787997\pi\) |
0.928506 | − | 0.371317i | \(-0.121094\pi\) | |||||||
\(752\) | 4.36315 | − | 5.03534i | 0.159108 | − | 0.183620i | ||||
\(753\) | −3.96072 | + | 8.67276i | −0.144337 | + | 0.316053i | ||||
\(754\) | −12.3646 | − | 3.63057i | −0.450291 | − | 0.132217i | ||||
\(755\) | 3.98097 | + | 8.71711i | 0.144882 | + | 0.317248i | ||||
\(756\) | −0.490975 | − | 3.41481i | −0.0178566 | − | 0.124195i | ||||
\(757\) | 27.8301 | + | 17.8853i | 1.01150 | + | 0.650054i | 0.937782 | − | 0.347225i | \(-0.112876\pi\) |
0.0737214 | + | 0.997279i | \(0.476512\pi\) | |||||||
\(758\) | −31.8583 | −1.15714 | ||||||||
\(759\) | −14.6758 | − | 8.84287i | −0.532698 | − | 0.320976i | ||||
\(760\) | 0.883386 | 0.0320438 | ||||||||
\(761\) | −38.4969 | − | 24.7404i | −1.39551 | − | 0.896840i | −0.395743 | − | 0.918362i | \(-0.629513\pi\) |
−0.999768 | + | 0.0215211i | \(0.993149\pi\) | |||||||
\(762\) | 2.86886 | + | 19.9533i | 0.103928 | + | 0.722833i | ||||
\(763\) | −21.1153 | − | 46.2360i | −0.764424 | − | 1.67386i | ||||
\(764\) | −16.9158 | − | 4.96694i | −0.611994 | − | 0.179698i | ||||
\(765\) | −0.831833 | + | 1.82146i | −0.0300750 | + | 0.0658550i | ||||
\(766\) | 6.10368 | − | 7.04402i | 0.220535 | − | 0.254511i | ||||
\(767\) | 0.949744 | − | 6.60561i | 0.0342933 | − | 0.238515i | ||||
\(768\) | 0.959493 | − | 0.281733i | 0.0346227 | − | 0.0101661i | ||||
\(769\) | −26.9000 | − | 31.0443i | −0.970040 | − | 1.11949i | −0.992805 | − | 0.119745i | \(-0.961792\pi\) |
0.0227642 | − | 0.999741i | \(-0.492753\pi\) | |||||||
\(770\) | 10.3689 | − | 6.66368i | 0.373669 | − | 0.240142i | ||||
\(771\) | −9.65316 | + | 6.20371i | −0.347650 | + | 0.223421i | ||||
\(772\) | −10.4183 | − | 12.0233i | −0.374962 | − | 0.432730i | ||||
\(773\) | 28.6971 | − | 8.42622i | 1.03216 | − | 0.303070i | 0.278573 | − | 0.960415i | \(-0.410139\pi\) |
0.753590 | + | 0.657345i | \(0.228321\pi\) | |||||||
\(774\) | 0.474462 | − | 3.29995i | 0.0170542 | − | 0.118614i | ||||
\(775\) | −1.16935 | + | 1.34950i | −0.0420043 | + | 0.0484756i | ||||
\(776\) | 1.36997 | − | 2.99981i | 0.0491790 | − | 0.107687i | ||||
\(777\) | 9.24199 | + | 2.71369i | 0.331555 | + | 0.0973532i | ||||
\(778\) | 9.58609 | + | 20.9906i | 0.343678 | + | 0.752550i | ||||
\(779\) | 1.00884 | + | 7.01663i | 0.0361454 | + | 0.251397i | ||||
\(780\) | −2.45398 | − | 1.57708i | −0.0878667 | − | 0.0564685i | ||||
\(781\) | 16.3959 | 0.586690 | ||||||||
\(782\) | −6.07638 | + | 7.43638i | −0.217291 | + | 0.265925i | ||||
\(783\) | 4.41767 | 0.157874 | ||||||||
\(784\) | 4.12379 | + | 2.65020i | 0.147278 | + | 0.0946499i | ||||
\(785\) | −1.85610 | − | 12.9095i | −0.0662470 | − | 0.460758i | ||||
\(786\) | −5.07535 | − | 11.1135i | −0.181032 | − | 0.396404i | ||||
\(787\) | 19.2252 | + | 5.64504i | 0.685306 | + | 0.201224i | 0.605808 | − | 0.795611i | \(-0.292850\pi\) |
0.0794980 | + | 0.996835i | \(0.474668\pi\) | |||||||
\(788\) | 8.46909 | − | 18.5447i | 0.301699 | − | 0.660628i | ||||
\(789\) | −10.9849 | + | 12.6773i | −0.391074 | + | 0.451323i | ||||
\(790\) | 0.799040 | − | 5.55744i | 0.0284286 | − | 0.197725i | ||||
\(791\) | −60.8731 | + | 17.8740i | −2.16440 | + | 0.635525i | ||||
\(792\) | −2.33962 | − | 2.70006i | −0.0831347 | − | 0.0959426i | ||||
\(793\) | −1.05880 | + | 0.680452i | −0.0375992 | + | 0.0241635i | ||||
\(794\) | 15.7379 | − | 10.1141i | 0.558515 | − | 0.358936i | ||||
\(795\) | −2.06575 | − | 2.38401i | −0.0732647 | − | 0.0845520i | ||||
\(796\) | 3.95395 | − | 1.16099i | 0.140144 | − | 0.0411500i | ||||
\(797\) | 6.74111 | − | 46.8854i | 0.238782 | − | 1.66077i | −0.419320 | − | 0.907838i | \(-0.637731\pi\) |
0.658102 | − | 0.752928i | \(-0.271359\pi\) | |||||||
\(798\) | 1.99576 | − | 2.30323i | 0.0706492 | − | 0.0815335i | ||||
\(799\) | −5.54226 | + | 12.1359i | −0.196071 | + | 0.429336i | ||||
\(800\) | −0.959493 | − | 0.281733i | −0.0339232 | − | 0.00996075i | ||||
\(801\) | −4.54466 | − | 9.95142i | −0.160578 | − | 0.351616i | ||||
\(802\) | −2.75760 | − | 19.1795i | −0.0973741 | − | 0.677252i | ||||
\(803\) | −4.61491 | − | 2.96582i | −0.162857 | − | 0.104662i | ||||
\(804\) | 5.57769 | 0.196710 | ||||||||
\(805\) | −10.4689 | + | 12.8120i | −0.368980 | + | 0.451564i | ||||
\(806\) | −5.20884 | −0.183473 | ||||||||
\(807\) | −6.97571 | − | 4.48301i | −0.245556 | − | 0.157810i | ||||
\(808\) | −2.09989 | − | 14.6050i | −0.0738738 | − | 0.513803i | ||||
\(809\) | 17.1952 | + | 37.6522i | 0.604550 | + | 1.32378i | 0.926240 | + | 0.376935i | \(0.123022\pi\) |
−0.321690 | + | 0.946845i | \(0.604251\pi\) | |||||||
\(810\) | 0.959493 | + | 0.281733i | 0.0337131 | + | 0.00989907i | ||||
\(811\) | 17.4372 | − | 38.1822i | 0.612304 | − | 1.34076i | −0.308683 | − | 0.951165i | \(-0.599888\pi\) |
0.920987 | − | 0.389593i | \(-0.127384\pi\) | |||||||
\(812\) | −9.98047 | + | 11.5181i | −0.350246 | + | 0.404205i | ||||
\(813\) | 1.56656 | − | 10.8956i | 0.0549416 | − | 0.382127i | ||||
\(814\) | 9.57089 | − | 2.81027i | 0.335460 | − | 0.0984998i | ||||
\(815\) | −3.40640 | − | 3.93120i | −0.119321 | − | 0.137704i | ||||
\(816\) | −1.68454 | + | 1.08259i | −0.0589706 | + | 0.0378981i | ||||
\(817\) | 2.47758 | − | 1.59225i | 0.0866797 | − | 0.0557056i | ||||
\(818\) | 10.2595 | + | 11.8401i | 0.358714 | + | 0.413978i | ||||
\(819\) | −9.65596 | + | 2.83525i | −0.337407 | + | 0.0990715i | ||||
\(820\) | 1.14201 | − | 7.94288i | 0.0398809 | − | 0.277377i | ||||
\(821\) | 5.09320 | − | 5.87787i | 0.177754 | − | 0.205139i | −0.659880 | − | 0.751371i | \(-0.729393\pi\) |
0.837634 | + | 0.546232i | \(0.183938\pi\) | |||||||
\(822\) | 6.09149 | − | 13.3385i | 0.212465 | − | 0.465234i | ||||
\(823\) | −0.630761 | − | 0.185208i | −0.0219869 | − | 0.00645595i | 0.270721 | − | 0.962658i | \(-0.412738\pi\) |
−0.292708 | + | 0.956202i | \(0.594556\pi\) | |||||||
\(824\) | 6.48266 | + | 14.1951i | 0.225834 | + | 0.494508i | ||||
\(825\) | 0.508448 | + | 3.53633i | 0.0177019 | + | 0.123119i | ||||
\(826\) | −6.63969 | − | 4.26707i | −0.231024 | − | 0.148470i | ||||
\(827\) | −19.6319 | −0.682669 | −0.341335 | − | 0.939942i | \(-0.610879\pi\) | ||||
−0.341335 | + | 0.939942i | \(0.610879\pi\) | |||||||
\(828\) | 4.10777 | + | 2.47513i | 0.142755 | + | 0.0860166i | ||||
\(829\) | −9.62079 | −0.334144 | −0.167072 | − | 0.985945i | \(-0.553431\pi\) | ||||
−0.167072 | + | 0.985945i | \(0.553431\pi\) | |||||||
\(830\) | 14.0284 | + | 9.01550i | 0.486932 | + | 0.312932i | ||||
\(831\) | 2.44394 | + | 16.9980i | 0.0847793 | + | 0.589653i | ||||
\(832\) | −1.21179 | − | 2.65345i | −0.0420112 | − | 0.0919917i | ||||
\(833\) | −9.41814 | − | 2.76542i | −0.326319 | − | 0.0958160i | ||||
\(834\) | −3.43090 | + | 7.51262i | −0.118802 | + | 0.260141i | ||||
\(835\) | −0.0958148 | + | 0.110576i | −0.00331581 | + | 0.00382665i | ||||
\(836\) | 0.449155 | − | 3.12394i | 0.0155344 | − | 0.108044i | ||||
\(837\) | 1.71332 | − | 0.503076i | 0.0592209 | − | 0.0173888i | ||||
\(838\) | −0.176870 | − | 0.204118i | −0.00610986 | − | 0.00705115i | ||||
\(839\) | 29.1487 | − | 18.7327i | 1.00632 | − | 0.646726i | 0.0698854 | − | 0.997555i | \(-0.477737\pi\) |
0.936439 | + | 0.350829i | \(0.114100\pi\) | |||||||
\(840\) | −2.90226 | + | 1.86517i | −0.100137 | + | 0.0643544i | ||||
\(841\) | 6.21085 | + | 7.16770i | 0.214167 | + | 0.247162i | ||||
\(842\) | −17.2847 | + | 5.07526i | −0.595671 | + | 0.174905i | ||||
\(843\) | −1.20076 | + | 8.35146i | −0.0413563 | + | 0.287639i | ||||
\(844\) | −7.51369 | + | 8.67126i | −0.258632 | + | 0.298477i | ||||
\(845\) | 1.86554 | − | 4.08497i | 0.0641766 | − | 0.140527i | ||||
\(846\) | 6.39283 | + | 1.87710i | 0.219790 | + | 0.0645361i | ||||
\(847\) | −2.52830 | − | 5.53620i | −0.0868733 | − | 0.190226i | ||||
\(848\) | −0.448931 | − | 3.12239i | −0.0154164 | − | 0.107223i | ||||
\(849\) | −18.7289 | − | 12.0364i | −0.642775 | − | 0.413087i | ||||
\(850\) | 2.00241 | 0.0686822 | ||||||||
\(851\) | −11.0504 | + | 7.56171i | −0.378802 | + | 0.259212i | ||||
\(852\) | −4.58921 | −0.157224 | ||||||||
\(853\) | 41.6679 | + | 26.7783i | 1.42668 | + | 0.916873i | 0.999922 | + | 0.0125087i | \(0.00398175\pi\) |
0.426761 | + | 0.904365i | \(0.359655\pi\) | |||||||
\(854\) | 0.211838 | + | 1.47336i | 0.00724894 | + | 0.0504175i | ||||
\(855\) | 0.366972 | + | 0.803556i | 0.0125502 | + | 0.0274810i | ||||
\(856\) | 8.43970 | + | 2.47812i | 0.288463 | + | 0.0847004i | ||||
\(857\) | 2.16699 | − | 4.74504i | 0.0740228 | − | 0.162087i | −0.869003 | − | 0.494807i | \(-0.835239\pi\) |
0.943026 | + | 0.332719i | \(0.107966\pi\) | |||||||
\(858\) | −6.82480 | + | 7.87623i | −0.232995 | + | 0.268890i | ||||
\(859\) | −3.21486 | + | 22.3598i | −0.109690 | + | 0.762908i | 0.858522 | + | 0.512776i | \(0.171383\pi\) |
−0.968212 | + | 0.250131i | \(0.919526\pi\) | |||||||
\(860\) | −3.19884 | + | 0.939265i | −0.109080 | + | 0.0320287i | ||||
\(861\) | −18.1292 | − | 20.9222i | −0.617843 | − | 0.713028i | ||||
\(862\) | −19.1943 | + | 12.3354i | −0.653760 | + | 0.420146i | ||||
\(863\) | 5.02987 | − | 3.23250i | 0.171219 | − | 0.110036i | −0.452225 | − | 0.891904i | \(-0.649370\pi\) |
0.623443 | + | 0.781868i | \(0.285733\pi\) | |||||||
\(864\) | 0.654861 | + | 0.755750i | 0.0222788 | + | 0.0257111i | ||||
\(865\) | 17.4062 | − | 5.11093i | 0.591829 | − | 0.173777i | ||||
\(866\) | −2.75618 | + | 19.1697i | −0.0936588 | + | 0.651411i | ||||
\(867\) | −8.50686 | + | 9.81744i | −0.288908 | + | 0.333418i | ||||
\(868\) | −2.55910 | + | 5.60365i | −0.0868616 | + | 0.190200i | ||||
\(869\) | −19.2467 | − | 5.65134i | −0.652899 | − | 0.191708i | ||||
\(870\) | −1.83516 | − | 4.01845i | −0.0622179 | − | 0.136238i | ||||
\(871\) | −2.31553 | − | 16.1048i | −0.0784586 | − | 0.545691i | ||||
\(872\) | 12.3946 | + | 7.96552i | 0.419734 | + | 0.269747i | ||||
\(873\) | 3.29783 | 0.111615 | ||||||||
\(874\) | 0.723882 | + | 4.17427i | 0.0244857 | + | 0.141197i | ||||
\(875\) | 3.44992 | 0.116629 | ||||||||
\(876\) | 1.29172 | + | 0.830135i | 0.0436430 | + | 0.0280477i | ||||
\(877\) | −0.0560459 | − | 0.389808i | −0.00189254 | − | 0.0131629i | 0.988853 | − | 0.148893i | \(-0.0475710\pi\) |
−0.990746 | + | 0.135730i | \(0.956662\pi\) | |||||||
\(878\) | 15.3038 | + | 33.5107i | 0.516479 | + | 1.13093i | ||||
\(879\) | 11.1615 | + | 3.27732i | 0.376469 | + | 0.110541i | ||||
\(880\) | −1.48415 | + | 3.24984i | −0.0500307 | + | 0.109552i | ||||
\(881\) | −11.8955 | + | 13.7281i | −0.400768 | + | 0.462511i | −0.919883 | − | 0.392193i | \(-0.871716\pi\) |
0.519114 | + | 0.854705i | \(0.326262\pi\) | |||||||
\(882\) | −0.697621 | + | 4.85206i | −0.0234901 | + | 0.163377i | ||||
\(883\) | −4.49392 | + | 1.31953i | −0.151232 | + | 0.0444058i | −0.356472 | − | 0.934306i | \(-0.616021\pi\) |
0.205240 | + | 0.978712i | \(0.434202\pi\) | |||||||
\(884\) | 3.82514 | + | 4.41445i | 0.128653 | + | 0.148474i | ||||
\(885\) | 1.92459 | − | 1.23686i | 0.0646944 | − | 0.0415766i | ||||
\(886\) | 28.9056 | − | 18.5765i | 0.971103 | − | 0.624090i | ||||
\(887\) | 35.8713 | + | 41.3977i | 1.20444 | + | 1.39000i | 0.899094 | + | 0.437755i | \(0.144226\pi\) |
0.305345 | + | 0.952242i | \(0.401228\pi\) | |||||||
\(888\) | −2.67890 | + | 0.786596i | −0.0898980 | + | 0.0263964i | ||||
\(889\) | 9.89732 | − | 68.8374i | 0.331946 | − | 2.30873i | ||||
\(890\) | −7.16421 | + | 8.26794i | −0.240145 | + | 0.277142i | ||||
\(891\) | 1.48415 | − | 3.24984i | 0.0497209 | − | 0.108874i | ||||
\(892\) | 4.01891 | + | 1.18006i | 0.134563 | + | 0.0395113i | ||||
\(893\) | 2.44503 | + | 5.35386i | 0.0818197 | + | 0.179160i | ||||
\(894\) | −2.81290 | − | 19.5641i | −0.0940774 | − | 0.654323i | ||||
\(895\) | −0.843810 | − | 0.542284i | −0.0282055 | − | 0.0181266i | ||||
\(896\) | −3.44992 | −0.115254 | ||||||||
\(897\) | 5.44129 | − | 12.8881i | 0.181679 | − | 0.430323i | ||||
\(898\) | −26.9014 | −0.897713 | ||||||||
\(899\) | −6.63615 | − | 4.26479i | −0.221328 | − | 0.142239i | ||||
\(900\) | −0.142315 | − | 0.989821i | −0.00474383 | − | 0.0329940i | ||||
\(901\) | 2.62401 | + | 5.74578i | 0.0874185 | + | 0.191420i | ||||
\(902\) | −27.5080 | − | 8.07708i | −0.915916 | − | 0.268937i | ||||
\(903\) | −4.77796 | + | 10.4623i | −0.159001 | + | 0.348163i | ||||
\(904\) | 12.0427 | − | 13.8980i | 0.400534 | − | 0.462241i | ||||
\(905\) | −1.70529 | + | 11.8606i | −0.0566858 | + | 0.394258i | ||||
\(906\) | −9.19493 | + | 2.69988i | −0.305481 | + | 0.0896974i | ||||
\(907\) | 23.3050 | + | 26.8954i | 0.773829 | + | 0.893046i | 0.996648 | − | 0.0818140i | \(-0.0260713\pi\) |
−0.222819 | + | 0.974860i | \(0.571526\pi\) | |||||||
\(908\) | 13.6747 | − | 8.78822i | 0.453812 | − | 0.291647i | ||||
\(909\) | 12.4129 | − | 7.97728i | 0.411709 | − | 0.264590i | ||||
\(910\) | 6.59026 | + | 7.60557i | 0.218465 | + | 0.252122i | ||||
\(911\) | −23.4130 | + | 6.87467i | −0.775707 | + | 0.227768i | −0.645542 | − | 0.763724i | \(-0.723369\pi\) |
−0.130164 | + | 0.991492i | \(0.541550\pi\) | |||||||
\(912\) | −0.125719 | + | 0.874394i | −0.00416297 | + | 0.0289541i | ||||
\(913\) | 39.0145 | − | 45.0251i | 1.29119 | − | 1.49011i | ||||
\(914\) | −11.5624 | + | 25.3182i | −0.382451 | + | 0.837450i | ||||
\(915\) | −0.413986 | − | 0.121557i | −0.0136860 | − | 0.00401856i | ||||
\(916\) | 2.43703 | + | 5.33634i | 0.0805216 | + | 0.176318i | ||||
\(917\) | 5.99850 | + | 41.7205i | 0.198088 | + | 1.37773i | ||||
\(918\) | −1.68454 | − | 1.08259i | −0.0555980 | − | 0.0357307i | ||||
\(919\) | 51.0608 | 1.68434 | 0.842170 | − | 0.539212i | \(-0.181278\pi\) | ||||
0.842170 | + | 0.539212i | \(0.181278\pi\) | |||||||
\(920\) | 0.545025 | − | 4.76476i | 0.0179690 | − | 0.157090i | ||||
\(921\) | 23.2130 | 0.764895 | ||||||||
\(922\) | 11.6381 | + | 7.47938i | 0.383282 | + | 0.246320i | ||||
\(923\) | 1.90517 | + | 13.2507i | 0.0627093 | + | 0.436153i | ||||
\(924\) | 5.12021 | + | 11.2117i | 0.168442 | + | 0.368837i | ||||
\(925\) | 2.67890 | + | 0.786596i | 0.0880817 | + | 0.0258631i | ||||
\(926\) | −10.5321 | + | 23.0621i | −0.346107 | + | 0.757868i | ||||
\(927\) | −10.2193 | + | 11.7937i | −0.335645 | + | 0.387355i | ||||
\(928\) | 0.628699 | − | 4.37270i | 0.0206381 | − | 0.143541i | ||||
\(929\) | 54.0027 | − | 15.8566i | 1.77177 | − | 0.520239i | 0.777667 | − | 0.628676i | \(-0.216403\pi\) |
0.994103 | + | 0.108437i | \(0.0345846\pi\) | |||||||
\(930\) | −1.16935 | − | 1.34950i | −0.0383445 | − | 0.0442520i | ||||
\(931\) | −3.64289 | + | 2.34115i | −0.119391 | + | 0.0767280i | ||||
\(932\) | −18.5619 | + | 11.9290i | −0.608014 | + | 0.390747i | ||||
\(933\) | 9.05227 | + | 10.4469i | 0.296358 | + | 0.342015i | ||||
\(934\) | −17.2641 | + | 5.06918i | −0.564897 | + | 0.165869i | ||||
\(935\) | 1.01812 | − | 7.08120i | 0.0332962 | − | 0.231580i | ||||
\(936\) | 1.91026 | − | 2.20456i | 0.0624390 | − | 0.0720584i | ||||
\(937\) | −4.83808 | + | 10.5939i | −0.158053 | + | 0.346088i | −0.972047 | − | 0.234785i | \(-0.924561\pi\) |
0.813994 | + | 0.580873i | \(0.197289\pi\) | |||||||
\(938\) | −18.4631 | − | 5.42127i | −0.602843 | − | 0.177011i | ||||
\(939\) | −11.8597 | − | 25.9690i | −0.387025 | − | 0.847467i | ||||
\(940\) | −0.948203 | − | 6.59490i | −0.0309270 | − | 0.215102i | ||||
\(941\) | 14.3111 | + | 9.19717i | 0.466528 | + | 0.299819i | 0.752705 | − | 0.658357i | \(-0.228748\pi\) |
−0.286178 | + | 0.958177i | \(0.592385\pi\) | |||||||
\(942\) | 13.0422 | 0.424938 | ||||||||
\(943\) | 38.4684 | − | 1.11235i | 1.25270 | − | 0.0362232i | ||||
\(944\) | 2.28777 | 0.0744605 | ||||||||
\(945\) | −2.90226 | − | 1.86517i | −0.0944105 | − | 0.0606739i | ||||
\(946\) | 1.69511 | + | 11.7897i | 0.0551127 | + | 0.383317i | ||||
\(947\) | 6.58188 | + | 14.4123i | 0.213882 | + | 0.468337i | 0.985915 | − | 0.167245i | \(-0.0534872\pi\) |
−0.772033 | + | 0.635583i | \(0.780760\pi\) | |||||||
\(948\) | 5.38716 | + | 1.58181i | 0.174967 | + | 0.0513749i | ||||
\(949\) | 1.86066 | − | 4.07428i | 0.0603996 | − | 0.132257i | ||||
\(950\) | 0.578494 | − | 0.667618i | 0.0187688 | − | 0.0216604i | ||||
\(951\) | 0.506165 | − | 3.52046i | 0.0164135 | − | 0.114159i | ||||
\(952\) | 6.62834 | − | 1.94626i | 0.214826 | − | 0.0630785i | ||||
\(953\) | 39.3764 | + | 45.4428i | 1.27553 | + | 1.47204i | 0.809328 | + | 0.587357i | \(0.199832\pi\) |
0.466199 | + | 0.884680i | \(0.345623\pi\) | |||||||
\(954\) | 2.65373 | − | 1.70545i | 0.0859176 | − | 0.0552159i | ||||
\(955\) | −14.8313 | + | 9.53149i | −0.479929 | + | 0.308432i | ||||
\(956\) | −4.09953 | − | 4.73111i | −0.132588 | − | 0.153015i | ||||
\(957\) | −15.1437 | + | 4.44658i | −0.489525 | + | 0.143737i | ||||
\(958\) | −2.40721 | + | 16.7425i | −0.0777736 | + | 0.540927i | ||||
\(959\) | −33.1283 | + | 38.2321i | −1.06977 | + | 1.23458i | ||||
\(960\) | 0.415415 | − | 0.909632i | 0.0134075 | − | 0.0293582i | ||||
\(961\) | 26.6849 | + | 7.83539i | 0.860803 | + | 0.252755i | ||||
\(962\) | 3.38331 | + | 7.40841i | 0.109082 | + | 0.238857i | ||||
\(963\) | 1.25180 | + | 8.70647i | 0.0403387 | + | 0.280562i | ||||
\(964\) | 0.270609 | + | 0.173910i | 0.00871574 | + | 0.00560126i | ||||
\(965\) | −15.9092 | −0.512134 | ||||||||
\(966\) | −11.1917 | − | 12.1857i | −0.360088 | − | 0.392067i | ||||
\(967\) | −28.5518 | −0.918163 | −0.459081 | − | 0.888394i | \(-0.651821\pi\) | ||||
−0.459081 | + | 0.888394i | \(0.651821\pi\) | |||||||
\(968\) | 1.48410 | + | 0.953774i | 0.0477008 | + | 0.0306555i | ||||
\(969\) | −0.251741 | − | 1.75090i | −0.00808709 | − | 0.0562470i | ||||
\(970\) | −1.36997 | − | 2.99981i | −0.0439870 | − | 0.0963182i | ||||
\(971\) | 10.9578 | + | 3.21749i | 0.351651 | + | 0.103254i | 0.452788 | − | 0.891618i | \(-0.350430\pi\) |
−0.101136 | + | 0.994873i | \(0.532248\pi\) | |||||||
\(972\) | −0.415415 | + | 0.909632i | −0.0133244 | + | 0.0291765i | ||||
\(973\) | 18.6588 | − | 21.5334i | 0.598174 | − | 0.690330i | ||||
\(974\) | 4.53618 | − | 31.5498i | 0.145349 | − | 1.01092i | ||||
\(975\) | −2.79889 | + | 0.821829i | −0.0896363 | + | 0.0263196i | ||||
\(976\) | −0.282548 | − | 0.326078i | −0.00904415 | − | 0.0104375i | ||||
\(977\) | 3.64415 | − | 2.34195i | 0.116587 | − | 0.0749257i | −0.481048 | − | 0.876694i | \(-0.659744\pi\) |
0.597635 | + | 0.801769i | \(0.296107\pi\) | |||||||
\(978\) | 4.37597 | − | 2.81226i | 0.139928 | − | 0.0899263i | ||||
\(979\) | 25.5955 | + | 29.5388i | 0.818037 | + | 0.944065i | ||||
\(980\) | 4.70339 | − | 1.38104i | 0.150244 | − | 0.0441157i | ||||
\(981\) | −2.09679 | + | 14.5835i | −0.0669455 | + | 0.465616i | ||||
\(982\) | −14.2633 | + | 16.4607i | −0.455160 | + | 0.525283i | ||||
\(983\) | 11.0955 | − | 24.2958i | 0.353892 | − | 0.774914i | −0.646041 | − | 0.763303i | \(-0.723577\pi\) |
0.999933 | − | 0.0116117i | \(-0.00369619\pi\) | |||||||
\(984\) | 7.69951 | + | 2.26078i | 0.245451 | + | 0.0720710i | ||||
\(985\) | −8.46909 | − | 18.5447i | −0.269848 | − | 0.590884i | ||||
\(986\) | 1.25892 | + | 8.75596i | 0.0400921 | + | 0.278846i | ||||
\(987\) | −19.3369 | − | 12.4271i | −0.615501 | − | 0.395558i | ||||
\(988\) | 2.57688 | 0.0819816 | ||||||||
\(989\) | −7.05958 | − | 14.3458i | −0.224481 | − | 0.456171i | ||||
\(990\) | −3.57270 | −0.113548 | ||||||||
\(991\) | −10.8142 | − | 6.94989i | −0.343526 | − | 0.220770i | 0.357489 | − | 0.933917i | \(-0.383633\pi\) |
−0.701015 | + | 0.713147i | \(0.747269\pi\) | |||||||
\(992\) | −0.254124 | − | 1.76747i | −0.00806846 | − | 0.0561174i | ||||
\(993\) | −4.94373 | − | 10.8253i | −0.156885 | − | 0.343529i | ||||
\(994\) | 15.1911 | + | 4.46051i | 0.481832 | + | 0.141479i | ||||
\(995\) | 1.71187 | − | 3.74848i | 0.0542701 | − | 0.118835i | ||||
\(996\) | −10.9202 | + | 12.6026i | −0.346019 | + | 0.399327i | ||||
\(997\) | 6.11770 | − | 42.5496i | 0.193750 | − | 1.34756i | −0.628224 | − | 0.778032i | \(-0.716218\pi\) |
0.821974 | − | 0.569525i | \(-0.192873\pi\) | |||||||
\(998\) | −7.82955 | + | 2.29896i | −0.247840 | + | 0.0727724i | ||||
\(999\) | −1.82837 | − | 2.11005i | −0.0578470 | − | 0.0667590i |
(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 | 690.2.m.d.301.2 | ✓ | 20 | |
23.12 | even | 11 | inner | 690.2.m.d.541.2 | yes | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.m.d.301.2 | ✓ | 20 | 1.1 | even | 1 | trivial | |
690.2.m.d.541.2 | yes | 20 | 23.12 | even | 11 | inner |