Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [668,2,Mod(15,668)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(668, base_ring=CyclotomicField(166))
chi = DirichletCharacter(H, H._module([83, 95]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("668.15");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 668 = 2^{2} \cdot 167 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 668.h (of order \(166\), degree \(82\), 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: | \(5.33400685502\) |
Analytic rank: | \(0\) |
Dimension: | \(6724\) |
Relative dimension: | \(82\) over \(\Q(\zeta_{166})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{166}]$ |
Embedding invariants
Embedding label | 15.9 | ||
Character | \(\chi\) | \(=\) | 668.15 |
Dual form | 668.2.h.a.579.9 |
$q$-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 \(\left(\mathbb{Z}/668\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(335\) |
\(\chi(n)\) | \(e\left(\frac{95}{166}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.35747 | − | 0.396595i | −0.959873 | − | 0.280435i | ||||
\(3\) | 1.06894 | + | 1.42538i | 0.617155 | + | 0.822945i | 0.994676 | − | 0.103056i | \(-0.0328619\pi\) |
−0.377521 | + | 0.926001i | \(0.623223\pi\) | |||||||
\(4\) | 1.68542 | + | 1.07673i | 0.842712 | + | 0.538364i | ||||
\(5\) | 0.441016 | − | 1.90842i | 0.197228 | − | 0.853471i | −0.777286 | − | 0.629147i | \(-0.783404\pi\) |
0.974515 | − | 0.224324i | \(-0.0720173\pi\) | |||||||
\(6\) | −0.885753 | − | 2.35885i | −0.361607 | − | 0.962995i | ||||
\(7\) | −3.35265 | − | 0.318199i | −1.26718 | − | 0.120268i | −0.560713 | − | 0.828010i | \(-0.689473\pi\) |
−0.706471 | + | 0.707742i | \(0.749714\pi\) | |||||||
\(8\) | −1.86088 | − | 2.13005i | −0.657920 | − | 0.753088i | ||||
\(9\) | −0.0488343 | + | 0.167379i | −0.0162781 | + | 0.0557930i | ||||
\(10\) | −1.35553 | + | 2.41571i | −0.428657 | + | 0.763914i | ||||
\(11\) | −0.195239 | + | 2.57415i | −0.0588667 | + | 0.776134i | 0.889089 | + | 0.457733i | \(0.151339\pi\) |
−0.947956 | + | 0.318401i | \(0.896854\pi\) | |||||||
\(12\) | 0.266871 | + | 3.55334i | 0.0770391 | + | 1.02576i | ||||
\(13\) | 4.57976 | − | 0.787690i | 1.27020 | − | 0.218466i | 0.505483 | − | 0.862837i | \(-0.331314\pi\) |
0.764713 | + | 0.644371i | \(0.222881\pi\) | |||||||
\(14\) | 4.42491 | + | 1.76159i | 1.18261 | + | 0.470805i | ||||
\(15\) | 3.19165 | − | 1.41137i | 0.824080 | − | 0.364415i | ||||
\(16\) | 1.68131 | + | 3.62949i | 0.420327 | + | 0.907372i | ||||
\(17\) | −0.910149 | − | 1.55371i | −0.220744 | − | 0.376829i | 0.731660 | − | 0.681670i | \(-0.238746\pi\) |
−0.952403 | + | 0.304841i | \(0.901397\pi\) | |||||||
\(18\) | 0.132673 | − | 0.207844i | 0.0312712 | − | 0.0489892i | ||||
\(19\) | 3.80812 | − | 5.49987i | 0.873642 | − | 1.26176i | −0.0903724 | − | 0.995908i | \(-0.528806\pi\) |
0.964015 | − | 0.265849i | \(-0.0856521\pi\) | |||||||
\(20\) | 2.79815 | − | 2.74164i | 0.625685 | − | 0.613049i | ||||
\(21\) | −3.13024 | − | 5.11895i | −0.683074 | − | 1.11705i | ||||
\(22\) | 1.28592 | − | 3.41688i | 0.274160 | − | 0.728482i | ||||
\(23\) | −0.656568 | − | 0.351942i | −0.136904 | − | 0.0733849i | 0.402561 | − | 0.915393i | \(-0.368120\pi\) |
−0.539464 | + | 0.842008i | \(0.681373\pi\) | |||||||
\(24\) | 1.04697 | − | 4.92937i | 0.213712 | − | 1.00620i | ||||
\(25\) | 1.04548 | + | 0.510460i | 0.209096 | + | 0.102092i | ||||
\(26\) | −6.52926 | − | 0.747049i | −1.28049 | − | 0.146508i | ||||
\(27\) | 4.71240 | − | 1.77150i | 0.906901 | − | 0.340925i | ||||
\(28\) | −5.30803 | − | 4.14620i | −1.00312 | − | 0.783558i | ||||
\(29\) | 5.46770 | − | 2.93087i | 1.01533 | − | 0.544248i | 0.121467 | − | 0.992596i | \(-0.461240\pi\) |
0.893859 | + | 0.448347i | \(0.147987\pi\) | |||||||
\(30\) | −4.89230 | + | 0.650099i | −0.893207 | + | 0.118691i | ||||
\(31\) | −1.31149 | − | 0.0248232i | −0.235550 | − | 0.00445838i | −0.0989827 | − | 0.995089i | \(-0.531559\pi\) |
−0.136567 | + | 0.990631i | \(0.543607\pi\) | |||||||
\(32\) | −0.842881 | − | 5.59371i | −0.149002 | − | 0.988837i | ||||
\(33\) | −3.87784 | + | 2.47333i | −0.675046 | + | 0.430551i | ||||
\(34\) | 0.619303 | + | 2.47006i | 0.106210 | + | 0.423612i | ||||
\(35\) | −2.08583 | + | 6.25793i | −0.352570 | + | 1.05778i | ||||
\(36\) | −0.262528 | + | 0.229523i | −0.0437547 | + | 0.0382539i | ||||
\(37\) | 4.37168 | − | 1.27547i | 0.718699 | − | 0.209687i | 0.0996317 | − | 0.995024i | \(-0.468234\pi\) |
0.619068 | + | 0.785338i | \(0.287511\pi\) | |||||||
\(38\) | −7.35061 | + | 5.95560i | −1.19243 | + | 0.966126i | ||||
\(39\) | 6.01826 | + | 5.68591i | 0.963693 | + | 0.910475i | ||||
\(40\) | −4.88571 | + | 2.61195i | −0.772499 | + | 0.412985i | ||||
\(41\) | 0.0555322 | − | 1.46644i | 0.00867267 | − | 0.229020i | −0.988365 | − | 0.152102i | \(-0.951396\pi\) |
0.997037 | − | 0.0769178i | \(-0.0245079\pi\) | |||||||
\(42\) | 2.21904 | + | 8.19024i | 0.342405 | + | 1.26378i | ||||
\(43\) | 5.66172 | + | 7.25925i | 0.863404 | + | 1.10702i | 0.993308 | + | 0.115498i | \(0.0368464\pi\) |
−0.129904 | + | 0.991527i | \(0.541467\pi\) | |||||||
\(44\) | −3.10072 | + | 4.12831i | −0.467451 | + | 0.622366i | ||||
\(45\) | 0.297892 | + | 0.167013i | 0.0444072 | + | 0.0248968i | ||||
\(46\) | 0.751689 | + | 0.738140i | 0.110831 | + | 0.108833i | ||||
\(47\) | −7.56834 | − | 1.00854i | −1.10396 | − | 0.147110i | −0.442263 | − | 0.896885i | \(-0.645824\pi\) |
−0.661693 | + | 0.749775i | \(0.730162\pi\) | |||||||
\(48\) | −3.37619 | + | 6.27623i | −0.487311 | + | 0.905896i | ||||
\(49\) | 4.26401 | + | 0.816749i | 0.609144 | + | 0.116678i | ||||
\(50\) | −1.21676 | − | 1.10757i | −0.172076 | − | 0.156633i | ||||
\(51\) | 1.24173 | − | 2.95813i | 0.173877 | − | 0.414222i | ||||
\(52\) | 8.56696 | + | 3.60357i | 1.18802 | + | 0.499725i | ||||
\(53\) | −3.26904 | − | 8.22028i | −0.449038 | − | 1.12914i | −0.962561 | − | 0.271066i | \(-0.912624\pi\) |
0.513523 | − | 0.858076i | \(-0.328340\pi\) | |||||||
\(54\) | −7.09948 | + | 0.535835i | −0.966117 | + | 0.0729179i | ||||
\(55\) | 4.82645 | + | 1.50784i | 0.650798 | + | 0.203317i | ||||
\(56\) | 5.56110 | + | 7.73346i | 0.743133 | + | 1.03343i | ||||
\(57\) | 11.9101 | − | 0.451018i | 1.57753 | − | 0.0597388i | ||||
\(58\) | −8.58458 | + | 1.81009i | −1.12721 | + | 0.237676i | ||||
\(59\) | 4.97755 | + | 2.91581i | 0.648022 | + | 0.379606i | 0.792474 | − | 0.609905i | \(-0.208793\pi\) |
−0.144452 | + | 0.989512i | \(0.546142\pi\) | |||||||
\(60\) | 6.89895 | + | 1.05778i | 0.890651 | + | 0.136558i | ||||
\(61\) | 0.335677 | − | 0.293913i | 0.0429790 | − | 0.0376317i | −0.636994 | − | 0.770868i | \(-0.719823\pi\) |
0.679973 | + | 0.733237i | \(0.261991\pi\) | |||||||
\(62\) | 1.77045 | + | 0.553826i | 0.224848 | + | 0.0703360i | ||||
\(63\) | 0.216984 | − | 0.545624i | 0.0273374 | − | 0.0687422i | ||||
\(64\) | −1.07426 | + | 7.92755i | −0.134282 | + | 0.990943i | ||||
\(65\) | 0.516504 | − | 9.08748i | 0.0640644 | − | 1.12716i | ||||
\(66\) | 6.24495 | − | 1.81952i | 0.768700 | − | 0.223967i | ||||
\(67\) | 3.64612 | − | 0.842581i | 0.445444 | − | 0.102938i | 0.00352791 | − | 0.999994i | \(-0.498877\pi\) |
0.441917 | + | 0.897056i | \(0.354299\pi\) | |||||||
\(68\) | 0.138933 | − | 3.59864i | 0.0168481 | − | 0.436399i | ||||
\(69\) | −0.200181 | − | 1.31207i | −0.0240990 | − | 0.157954i | ||||
\(70\) | 5.31331 | − | 7.66769i | 0.635062 | − | 0.916465i | ||||
\(71\) | 1.45764 | + | 1.48549i | 0.172990 | + | 0.176295i | 0.794797 | − | 0.606875i | \(-0.207577\pi\) |
−0.621807 | + | 0.783170i | \(0.713601\pi\) | |||||||
\(72\) | 0.447401 | − | 0.207453i | 0.0527267 | − | 0.0244485i | ||||
\(73\) | −11.0235 | + | 2.32858i | −1.29020 | + | 0.272540i | −0.800491 | − | 0.599345i | \(-0.795428\pi\) |
−0.489711 | + | 0.871885i | \(0.662898\pi\) | |||||||
\(74\) | −6.44025 | − | 0.00237438i | −0.748664 | − | 0.000276017i | ||||
\(75\) | 0.389960 | + | 2.03587i | 0.0450287 | + | 0.235082i | ||||
\(76\) | 12.3402 | − | 5.16930i | 1.41551 | − | 0.592960i | ||||
\(77\) | 1.47366 | − | 8.56809i | 0.167939 | − | 0.976425i | ||||
\(78\) | −5.91457 | − | 10.1052i | −0.669693 | − | 1.14419i | ||||
\(79\) | 9.46496 | − | 13.1316i | 1.06489 | − | 1.47742i | 0.197173 | − | 0.980369i | \(-0.436824\pi\) |
0.867719 | − | 0.497056i | \(-0.165586\pi\) | |||||||
\(80\) | 7.66807 | − | 1.60798i | 0.857316 | − | 0.179778i | ||||
\(81\) | 8.00336 | + | 5.10462i | 0.889262 | + | 0.567180i | ||||
\(82\) | −0.656968 | + | 1.96862i | −0.0725500 | + | 0.217398i | ||||
\(83\) | −6.90270 | − | 2.44682i | −0.757670 | − | 0.268574i | −0.0729057 | − | 0.997339i | \(-0.523227\pi\) |
−0.684764 | + | 0.728765i | \(0.740095\pi\) | |||||||
\(84\) | 0.235943 | − | 11.9980i | 0.0257435 | − | 1.30909i | ||||
\(85\) | −3.36651 | + | 1.05174i | −0.365149 | + | 0.114077i | ||||
\(86\) | −4.80660 | − | 12.0996i | −0.518309 | − | 1.30473i | ||||
\(87\) | 10.0223 | + | 4.66064i | 1.07450 | + | 0.499673i | ||||
\(88\) | 5.84639 | − | 4.37431i | 0.623227 | − | 0.466303i | ||||
\(89\) | −3.59102 | − | 1.58798i | −0.380648 | − | 0.168326i | 0.205252 | − | 0.978709i | \(-0.434199\pi\) |
−0.585900 | + | 0.810384i | \(0.699259\pi\) | |||||||
\(90\) | −0.338142 | − | 0.344857i | −0.0356433 | − | 0.0363511i | ||||
\(91\) | −15.6050 | + | 1.18357i | −1.63585 | + | 0.124072i | ||||
\(92\) | −0.727649 | − | 1.30012i | −0.0758626 | − | 0.135547i | ||||
\(93\) | −1.36652 | − | 1.89591i | −0.141702 | − | 0.196596i | ||||
\(94\) | 9.87378 | + | 4.37062i | 1.01840 | + | 0.450795i | ||||
\(95\) | −8.81661 | − | 9.69301i | −0.904565 | − | 0.994482i | ||||
\(96\) | 7.07218 | − | 7.18078i | 0.721802 | − | 0.732886i | ||||
\(97\) | 0.302918 | + | 16.0041i | 0.0307566 | + | 1.62497i | 0.598053 | + | 0.801456i | \(0.295941\pi\) |
−0.567297 | + | 0.823514i | \(0.692011\pi\) | |||||||
\(98\) | −5.46432 | − | 2.79979i | −0.551980 | − | 0.282822i | ||||
\(99\) | −0.421324 | − | 0.158385i | −0.0423446 | − | 0.0159183i | ||||
\(100\) | 1.21245 | + | 1.98604i | 0.121245 | + | 0.198604i | ||||
\(101\) | 3.63715 | + | 2.83673i | 0.361910 | + | 0.282265i | 0.779541 | − | 0.626352i | \(-0.215453\pi\) |
−0.417630 | + | 0.908617i | \(0.637139\pi\) | |||||||
\(102\) | −2.85879 | + | 3.52310i | −0.283062 | + | 0.348839i | ||||
\(103\) | 0.241917 | + | 0.472576i | 0.0238368 | + | 0.0465643i | 0.901760 | − | 0.432238i | \(-0.142276\pi\) |
−0.877923 | + | 0.478802i | \(0.841071\pi\) | |||||||
\(104\) | −10.2002 | − | 8.28933i | −1.00021 | − | 0.812836i | ||||
\(105\) | −11.1496 | + | 3.71627i | −1.08809 | + | 0.362670i | ||||
\(106\) | 1.17749 | + | 12.4552i | 0.114368 | + | 1.20976i | ||||
\(107\) | 1.89372 | + | 0.969418i | 0.183073 | + | 0.0937171i | 0.544797 | − | 0.838568i | \(-0.316607\pi\) |
−0.361724 | + | 0.932285i | \(0.617812\pi\) | |||||||
\(108\) | 9.84981 | + | 2.08824i | 0.947798 | + | 0.200941i | ||||
\(109\) | −7.32872 | − | 6.66608i | −0.701964 | − | 0.638495i | 0.241334 | − | 0.970442i | \(-0.422415\pi\) |
−0.943298 | + | 0.331947i | \(0.892294\pi\) | |||||||
\(110\) | −5.95373 | − | 3.96098i | −0.567666 | − | 0.377665i | ||||
\(111\) | 6.49112 | + | 4.86791i | 0.616109 | + | 0.462041i | ||||
\(112\) | −4.48195 | − | 12.7034i | −0.423504 | − | 1.20036i | ||||
\(113\) | −8.74974 | + | 7.37331i | −0.823106 | + | 0.693623i | −0.954664 | − | 0.297686i | \(-0.903785\pi\) |
0.131558 | + | 0.991309i | \(0.458002\pi\) | |||||||
\(114\) | −16.3464 | − | 4.11124i | −1.53098 | − | 0.385053i | ||||
\(115\) | −0.961209 | + | 1.09779i | −0.0896332 | + | 0.102370i | ||||
\(116\) | 12.3711 | + | 0.947476i | 1.14863 | + | 0.0879709i | ||||
\(117\) | −0.0918063 | + | 0.805021i | −0.00848750 | + | 0.0744243i | ||||
\(118\) | −5.60046 | − | 5.93219i | −0.515564 | − | 0.546102i | ||||
\(119\) | 2.55702 | + | 5.49864i | 0.234402 | + | 0.504060i | ||||
\(120\) | −8.94558 | − | 4.17199i | −0.816616 | − | 0.380848i | ||||
\(121\) | 4.28605 | + | 0.653922i | 0.389641 | + | 0.0594474i | ||||
\(122\) | −0.572234 | + | 0.265849i | −0.0518077 | + | 0.0240688i | ||||
\(123\) | 2.14961 | − | 1.48839i | 0.193823 | − | 0.134204i | ||||
\(124\) | −2.18368 | − | 1.45395i | −0.196101 | − | 0.130569i | ||||
\(125\) | 7.60334 | − | 9.37724i | 0.680063 | − | 0.838725i | ||||
\(126\) | −0.510941 | + | 0.654611i | −0.0455182 | + | 0.0583174i | ||||
\(127\) | −2.94846 | − | 2.89318i | −0.261633 | − | 0.256728i | 0.557704 | − | 0.830040i | \(-0.311682\pi\) |
−0.819337 | + | 0.573312i | \(0.805658\pi\) | |||||||
\(128\) | 4.60229 | − | 10.3353i | 0.406789 | − | 0.913522i | ||||
\(129\) | −4.29515 | + | 15.8298i | −0.378167 | + | 1.39374i | ||||
\(130\) | −4.30519 | + | 12.1311i | −0.377590 | + | 1.06397i | ||||
\(131\) | 0.701949 | + | 1.67223i | 0.0613296 | + | 0.146104i | 0.949825 | − | 0.312782i | \(-0.101261\pi\) |
−0.888495 | + | 0.458886i | \(0.848249\pi\) | |||||||
\(132\) | −9.19892 | − | 0.00678290i | −0.800663 | − | 0.000590375i | ||||
\(133\) | −14.5174 | + | 17.2274i | −1.25881 | + | 1.49381i | ||||
\(134\) | −5.28365 | − | 0.302260i | −0.456437 | − | 0.0261113i | ||||
\(135\) | −1.30252 | − | 9.77448i | −0.112103 | − | 0.841253i | ||||
\(136\) | −1.61580 | + | 4.82993i | −0.138554 | + | 0.414163i | ||||
\(137\) | −3.39129 | + | 3.20401i | −0.289738 | + | 0.273737i | −0.817843 | − | 0.575441i | \(-0.804830\pi\) |
0.528105 | + | 0.849179i | \(0.322903\pi\) | |||||||
\(138\) | −0.248620 | + | 1.86048i | −0.0211639 | + | 0.158374i | ||||
\(139\) | 8.09537 | + | 12.1779i | 0.686641 | + | 1.03291i | 0.996618 | + | 0.0821680i | \(0.0261844\pi\) |
−0.309978 | + | 0.950744i | \(0.600322\pi\) | |||||||
\(140\) | −10.2536 | + | 8.30140i | −0.866588 | + | 0.701596i | ||||
\(141\) | −6.65258 | − | 11.8659i | −0.560248 | − | 0.999285i | ||||
\(142\) | −1.38956 | − | 2.59459i | −0.116609 | − | 0.217733i | ||||
\(143\) | 1.13348 | + | 11.9428i | 0.0947867 | + | 0.998703i | ||||
\(144\) | −0.689606 | + | 0.104172i | −0.0574672 | + | 0.00868104i | ||||
\(145\) | −3.18198 | − | 11.7272i | −0.264249 | − | 0.973892i | ||||
\(146\) | 15.8875 | + | 1.21090i | 1.31486 | + | 0.100214i | ||||
\(147\) | 3.39380 | + | 6.95090i | 0.279916 | + | 0.573301i | ||||
\(148\) | 8.74147 | + | 2.55740i | 0.718545 | + | 0.210217i | ||||
\(149\) | 7.96743 | − | 0.452844i | 0.652718 | − | 0.0370984i | 0.272731 | − | 0.962090i | \(-0.412073\pi\) |
0.379987 | + | 0.924992i | \(0.375929\pi\) | |||||||
\(150\) | 0.278058 | − | 2.91827i | 0.0227034 | − | 0.238276i | ||||
\(151\) | −1.56868 | + | 7.42612i | −0.127657 | + | 0.604329i | 0.866752 | + | 0.498739i | \(0.166203\pi\) |
−0.994410 | + | 0.105590i | \(0.966327\pi\) | |||||||
\(152\) | −18.8015 | + | 2.12310i | −1.52500 | + | 0.172206i | ||||
\(153\) | 0.304504 | − | 0.0764657i | 0.0246177 | − | 0.00618189i | ||||
\(154\) | −5.39851 | + | 11.0464i | −0.435024 | + | 0.890148i | ||||
\(155\) | −0.625760 | + | 2.49192i | −0.0502622 | + | 0.200156i | ||||
\(156\) | 4.02113 | + | 16.0632i | 0.321948 | + | 1.28609i | ||||
\(157\) | 5.68675 | − | 0.648529i | 0.453852 | − | 0.0517583i | 0.116613 | − | 0.993177i | \(-0.462796\pi\) |
0.337239 | + | 0.941419i | \(0.390507\pi\) | |||||||
\(158\) | −18.0563 | + | 14.0720i | −1.43648 | + | 1.11951i | ||||
\(159\) | 8.22262 | − | 13.4466i | 0.652096 | − | 1.06639i | ||||
\(160\) | −11.0469 | − | 0.858343i | −0.873331 | − | 0.0678580i | ||||
\(161\) | 2.08925 | + | 1.38886i | 0.164656 | + | 0.109457i | ||||
\(162\) | −8.83981 | − | 10.1034i | −0.694521 | − | 0.793801i | ||||
\(163\) | −11.6296 | + | 9.42965i | −0.910904 | + | 0.738587i | −0.965632 | − | 0.259914i | \(-0.916306\pi\) |
0.0547278 | + | 0.998501i | \(0.482571\pi\) | |||||||
\(164\) | 1.67256 | − | 2.41179i | 0.130605 | − | 0.188329i | ||||
\(165\) | 3.00995 | + | 8.49133i | 0.234324 | + | 0.661049i | ||||
\(166\) | 8.39978 | + | 6.05906i | 0.651949 | + | 0.470274i | ||||
\(167\) | −8.84530 | − | 9.42129i | −0.684470 | − | 0.729041i | ||||
\(168\) | −5.07864 | + | 16.1933i | −0.391826 | + | 1.24934i | ||||
\(169\) | 8.10075 | − | 2.87150i | 0.623135 | − | 0.220885i | ||||
\(170\) | 4.98704 | − | 0.0925529i | 0.382488 | − | 0.00709849i | ||||
\(171\) | 0.734596 | + | 0.905981i | 0.0561760 | + | 0.0692821i | ||||
\(172\) | 1.72616 | + | 18.3310i | 0.131618 | + | 1.39773i | ||||
\(173\) | 4.30985 | − | 6.48329i | 0.327672 | − | 0.492915i | −0.631641 | − | 0.775261i | \(-0.717618\pi\) |
0.959313 | + | 0.282345i | \(0.0911124\pi\) | |||||||
\(174\) | −11.7565 | − | 10.3014i | −0.891257 | − | 0.780950i | ||||
\(175\) | −3.34271 | − | 2.04407i | −0.252685 | − | 0.154517i | ||||
\(176\) | −9.67110 | + | 3.61932i | −0.728986 | + | 0.272817i | ||||
\(177\) | 1.16457 | + | 10.2118i | 0.0875344 | + | 0.767562i | ||||
\(178\) | 4.24490 | + | 3.57981i | 0.318169 | + | 0.268318i | ||||
\(179\) | −12.6171 | − | 3.16835i | −0.943046 | − | 0.236814i | −0.258689 | − | 0.965961i | \(-0.583291\pi\) |
−0.684357 | + | 0.729147i | \(0.739917\pi\) | |||||||
\(180\) | 0.322247 | + | 0.602237i | 0.0240189 | + | 0.0448881i | ||||
\(181\) | 5.05064 | + | 20.1128i | 0.375411 | + | 1.49497i | 0.805723 | + | 0.592292i | \(0.201777\pi\) |
−0.430312 | + | 0.902680i | \(0.641597\pi\) | |||||||
\(182\) | 21.6526 | + | 4.58220i | 1.60500 | + | 0.339655i | ||||
\(183\) | 0.777758 | + | 0.164292i | 0.0574936 | + | 0.0121448i | ||||
\(184\) | 0.472138 | + | 2.05345i | 0.0348065 | + | 0.151382i | ||||
\(185\) | −0.506160 | − | 8.90549i | −0.0372136 | − | 0.654745i | ||||
\(186\) | 1.10310 | + | 3.11558i | 0.0808832 | + | 0.228446i | ||||
\(187\) | 4.17716 | − | 2.03951i | 0.305464 | − | 0.149144i | ||||
\(188\) | −11.6699 | − | 9.84886i | −0.851118 | − | 0.718302i | ||||
\(189\) | −16.3627 | + | 4.43974i | −1.19021 | + | 0.322944i | ||||
\(190\) | 8.12404 | + | 16.6546i | 0.589380 | + | 1.20825i | ||||
\(191\) | −0.199945 | + | 0.0189768i | −0.0144675 | + | 0.00137311i | −0.101716 | − | 0.994813i | \(-0.532433\pi\) |
0.0872489 | + | 0.996187i | \(0.472192\pi\) | |||||||
\(192\) | −12.4481 | + | 6.94287i | −0.898365 | + | 0.501058i | ||||
\(193\) | −18.7409 | + | 10.5071i | −1.34900 | + | 0.756315i | −0.984582 | − | 0.174921i | \(-0.944033\pi\) |
−0.364417 | + | 0.931236i | \(0.618732\pi\) | |||||||
\(194\) | 5.93595 | − | 21.8451i | 0.426176 | − | 1.56839i | ||||
\(195\) | 13.5053 | − | 8.97778i | 0.967131 | − | 0.642912i | ||||
\(196\) | 6.30725 | + | 5.96775i | 0.450518 | + | 0.426268i | ||||
\(197\) | −15.4285 | − | 16.3303i | −1.09924 | − | 1.16349i | −0.985447 | − | 0.169981i | \(-0.945629\pi\) |
−0.113788 | − | 0.993505i | \(-0.536298\pi\) | |||||||
\(198\) | 0.509117 | + | 0.382098i | 0.0361814 | + | 0.0271545i | ||||
\(199\) | −27.7503 | + | 3.69793i | −1.96717 | + | 0.262139i | −0.967201 | + | 0.254014i | \(0.918249\pi\) |
−0.999967 | + | 0.00812536i | \(0.997414\pi\) | |||||||
\(200\) | −0.858209 | − | 3.17684i | −0.0606845 | − | 0.224636i | ||||
\(201\) | 5.09850 | + | 4.29645i | 0.359620 | + | 0.303048i | ||||
\(202\) | −3.81227 | − | 5.29324i | −0.268231 | − | 0.372431i | ||||
\(203\) | −19.2639 | + | 8.08636i | −1.35206 | + | 0.567551i | ||||
\(204\) | 5.27795 | − | 3.64871i | 0.369530 | − | 0.255461i | ||||
\(205\) | −2.77410 | − | 0.752704i | −0.193751 | − | 0.0525711i | ||||
\(206\) | −0.140973 | − | 0.737449i | −0.00982203 | − | 0.0513805i | ||||
\(207\) | 0.0909707 | − | 0.0927088i | 0.00632290 | − | 0.00644371i | ||||
\(208\) | 10.5589 | + | 15.2978i | 0.732128 | + | 1.06071i | ||||
\(209\) | 13.4140 | + | 10.8764i | 0.927864 | + | 0.752339i | ||||
\(210\) | 16.6090 | − | 0.622829i | 1.14613 | − | 0.0429793i | ||||
\(211\) | −4.51946 | − | 6.52722i | −0.311133 | − | 0.449353i | 0.635295 | − | 0.772270i | \(-0.280879\pi\) |
−0.946427 | + | 0.322917i | \(0.895336\pi\) | |||||||
\(212\) | 3.34128 | − | 17.3745i | 0.229480 | − | 1.19329i | ||||
\(213\) | −0.559258 | + | 3.66560i | −0.0383198 | + | 0.251162i | ||||
\(214\) | −2.18619 | − | 2.06699i | −0.149445 | − | 0.141297i | ||||
\(215\) | 16.3506 | − | 7.60348i | 1.11510 | − | 0.518553i | ||||
\(216\) | −12.5426 | − | 6.74111i | −0.853415 | − | 0.458674i | ||||
\(217\) | 4.38906 | + | 0.500538i | 0.297949 | + | 0.0339787i | ||||
\(218\) | 7.30474 | + | 11.9555i | 0.494739 | + | 0.809729i | ||||
\(219\) | −15.1026 | − | 13.2236i | −1.02054 | − | 0.893567i | ||||
\(220\) | 6.51108 | + | 7.73812i | 0.438977 | + | 0.521704i | ||||
\(221\) | −5.39210 | − | 6.39868i | −0.362712 | − | 0.430422i | ||||
\(222\) | −6.88088 | − | 9.18236i | −0.461814 | − | 0.616280i | ||||
\(223\) | −2.15179 | + | 2.86930i | −0.144094 | + | 0.192143i | −0.866283 | − | 0.499553i | \(-0.833498\pi\) |
0.722189 | + | 0.691696i | \(0.243136\pi\) | |||||||
\(224\) | 1.04597 | + | 19.0220i | 0.0698870 | + | 1.27096i | ||||
\(225\) | −0.136496 | + | 0.150064i | −0.00909971 | + | 0.0100043i | ||||
\(226\) | 14.8017 | − | 6.53891i | 0.984594 | − | 0.434962i | ||||
\(227\) | 11.0520 | − | 21.5897i | 0.733548 | − | 1.43296i | −0.161447 | − | 0.986881i | \(-0.551616\pi\) |
0.894995 | − | 0.446077i | \(-0.147179\pi\) | |||||||
\(228\) | 20.5592 | + | 12.0638i | 1.36156 | + | 0.798943i | ||||
\(229\) | 8.48631 | + | 25.4607i | 0.560791 | + | 1.68249i | 0.718936 | + | 0.695076i | \(0.244629\pi\) |
−0.158145 | + | 0.987416i | \(0.550551\pi\) | |||||||
\(230\) | 1.74019 | − | 1.10901i | 0.114745 | − | 0.0731257i | ||||
\(231\) | 13.7881 | − | 7.05828i | 0.907189 | − | 0.464400i | ||||
\(232\) | −16.4176 | − | 6.19250i | −1.07787 | − | 0.406558i | ||||
\(233\) | −11.4789 | + | 14.7178i | −0.752005 | + | 0.964193i | −0.999990 | − | 0.00457082i | \(-0.998545\pi\) |
0.247984 | + | 0.968764i | \(0.420232\pi\) | |||||||
\(234\) | 0.443892 | − | 1.05638i | 0.0290181 | − | 0.0690576i | ||||
\(235\) | −5.26247 | + | 13.9988i | −0.343286 | + | 0.913180i | ||||
\(236\) | 5.24975 | + | 10.2739i | 0.341729 | + | 0.668771i | ||||
\(237\) | 28.8351 | − | 0.545777i | 1.87304 | − | 0.0354520i | ||||
\(238\) | −1.29034 | − | 8.47832i | −0.0836401 | − | 0.549568i | ||||
\(239\) | 5.86877 | − | 5.33814i | 0.379619 | − | 0.345296i | −0.460537 | − | 0.887641i | \(-0.652343\pi\) |
0.840156 | + | 0.542345i | \(0.182463\pi\) | |||||||
\(240\) | 10.4887 | + | 9.21110i | 0.677044 | + | 0.594574i | ||||
\(241\) | 22.1100 | − | 15.9363i | 1.42423 | − | 1.02655i | 0.432032 | − | 0.901858i | \(-0.357797\pi\) |
0.992196 | − | 0.124690i | \(-0.0397938\pi\) | |||||||
\(242\) | −5.55883 | − | 2.58750i | −0.357335 | − | 0.166331i | ||||
\(243\) | 0.136867 | + | 1.80454i | 0.00878003 | + | 0.115761i | ||||
\(244\) | 0.882223 | − | 0.133935i | 0.0564785 | − | 0.00857430i | ||||
\(245\) | 3.43919 | − | 7.77731i | 0.219722 | − | 0.496874i | ||||
\(246\) | −3.50830 | + | 1.16791i | −0.223681 | + | 0.0744635i | ||||
\(247\) | 13.1081 | − | 28.1877i | 0.834046 | − | 1.79354i | ||||
\(248\) | 2.38765 | + | 2.83973i | 0.151616 | + | 0.180323i | ||||
\(249\) | −3.89093 | − | 12.4545i | −0.246578 | − | 0.789272i | ||||
\(250\) | −14.0402 | + | 9.71382i | −0.887982 | + | 0.614356i | ||||
\(251\) | −10.4360 | + | 29.4408i | −0.658713 | + | 1.85829i | −0.171026 | + | 0.985267i | \(0.554708\pi\) |
−0.487687 | + | 0.873019i | \(0.662159\pi\) | |||||||
\(252\) | 0.953200 | − | 0.685976i | 0.0600460 | − | 0.0432124i | ||||
\(253\) | 1.03414 | − | 1.62139i | 0.0650156 | − | 0.101936i | ||||
\(254\) | 2.85501 | + | 5.09674i | 0.179139 | + | 0.319798i | ||||
\(255\) | −5.09774 | − | 3.67432i | −0.319233 | − | 0.230095i | ||||
\(256\) | −10.3464 | + | 12.2046i | −0.646650 | + | 0.762787i | ||||
\(257\) | −21.0918 | − | 3.62766i | −1.31567 | − | 0.226287i | −0.531619 | − | 0.846984i | \(-0.678416\pi\) |
−0.784051 | + | 0.620697i | \(0.786850\pi\) | |||||||
\(258\) | 12.1086 | − | 19.7850i | 0.753846 | − | 1.23176i | ||||
\(259\) | −15.0626 | + | 2.88516i | −0.935943 | + | 0.179275i | ||||
\(260\) | 10.6553 | − | 14.7601i | 0.660812 | − | 0.915384i | ||||
\(261\) | 0.223554 | + | 1.05830i | 0.0138377 | + | 0.0655074i | ||||
\(262\) | −0.289672 | − | 2.54839i | −0.0178960 | − | 0.157440i | ||||
\(263\) | 15.6162 | − | 15.3235i | 0.962939 | − | 0.944885i | −0.0355758 | − | 0.999367i | \(-0.511327\pi\) |
0.998515 | + | 0.0544816i | \(0.0173506\pi\) | |||||||
\(264\) | 12.4845 | + | 3.65745i | 0.768369 | + | 0.225101i | ||||
\(265\) | −17.1294 | + | 2.61343i | −1.05225 | + | 0.160542i | ||||
\(266\) | 26.5391 | − | 17.6281i | 1.62722 | − | 1.08085i | ||||
\(267\) | −1.57512 | − | 6.81604i | −0.0963956 | − | 0.417135i | ||||
\(268\) | 7.05249 | + | 2.50578i | 0.430799 | + | 0.153065i | ||||
\(269\) | 24.8125 | + | 1.41026i | 1.51285 | + | 0.0859854i | 0.793458 | − | 0.608624i | \(-0.208278\pi\) |
0.719387 | + | 0.694610i | \(0.244423\pi\) | |||||||
\(270\) | −2.10839 | + | 13.7851i | −0.128312 | + | 0.838934i | ||||
\(271\) | −18.8230 | − | 7.48553i | −1.14341 | − | 0.454713i | −0.280395 | − | 0.959885i | \(-0.590466\pi\) |
−0.863019 | + | 0.505171i | \(0.831429\pi\) | |||||||
\(272\) | 4.10892 | − | 5.91564i | 0.249140 | − | 0.358688i | ||||
\(273\) | −18.3679 | − | 20.9779i | −1.11167 | − | 1.26964i | ||||
\(274\) | 5.87426 | − | 3.00437i | 0.354877 | − | 0.181500i | ||||
\(275\) | −1.51812 | + | 2.59156i | −0.0915460 | + | 0.156277i | ||||
\(276\) | 1.07535 | − | 2.42693i | 0.0647284 | − | 0.146084i | ||||
\(277\) | 0.907560 | + | 23.9660i | 0.0545300 | + | 1.43998i | 0.720217 | + | 0.693748i | \(0.244042\pi\) |
−0.665687 | + | 0.746231i | \(0.731862\pi\) | |||||||
\(278\) | −6.15951 | − | 19.7416i | −0.369423 | − | 1.18402i | ||||
\(279\) | 0.0682004 | − | 0.218303i | 0.00408305 | − | 0.0130695i | ||||
\(280\) | 17.2112 | − | 7.20233i | 1.02857 | − | 0.430421i | ||||
\(281\) | −0.741057 | + | 0.294704i | −0.0442078 | + | 0.0175806i | −0.391531 | − | 0.920165i | \(-0.628054\pi\) |
0.347323 | + | 0.937745i | \(0.387091\pi\) | |||||||
\(282\) | 4.32470 | + | 18.7459i | 0.257532 | + | 1.11630i | ||||
\(283\) | −8.97567 | − | 3.76770i | −0.533548 | − | 0.223966i | 0.103722 | − | 0.994606i | \(-0.466925\pi\) |
−0.637271 | + | 0.770640i | \(0.719937\pi\) | |||||||
\(284\) | 0.857270 | + | 4.07316i | 0.0508696 | + | 0.241698i | ||||
\(285\) | 4.39180 | − | 22.9283i | 0.260148 | − | 1.35816i | ||||
\(286\) | 3.19778 | − | 16.6614i | 0.189088 | − | 0.985210i | ||||
\(287\) | −0.652801 | + | 4.89881i | −0.0385336 | + | 0.289167i | ||||
\(288\) | 0.977430 | + | 0.132084i | 0.0575956 | + | 0.00778312i | ||||
\(289\) | 6.72795 | − | 12.0003i | 0.395762 | − | 0.705900i | ||||
\(290\) | −0.331535 | + | 17.1812i | −0.0194684 | + | 1.00892i | ||||
\(291\) | −22.4882 | + | 17.5392i | −1.31828 | + | 1.02817i | ||||
\(292\) | −21.0865 | − | 7.94466i | −1.23400 | − | 0.464926i | ||||
\(293\) | −17.6168 | − | 0.667125i | −1.02919 | − | 0.0389739i | −0.482155 | − | 0.876086i | \(-0.660146\pi\) |
−0.547032 | + | 0.837112i | \(0.684242\pi\) | |||||||
\(294\) | −1.85027 | − | 10.7816i | −0.107910 | − | 0.628794i | ||||
\(295\) | 7.75977 | − | 8.21333i | 0.451791 | − | 0.478199i | ||||
\(296\) | −10.8520 | − | 6.93840i | −0.630759 | − | 0.403287i | ||||
\(297\) | 3.64006 | + | 12.4763i | 0.211218 | + | 0.723946i | ||||
\(298\) | −10.9951 | − | 2.54513i | −0.636930 | − | 0.147435i | ||||
\(299\) | −3.28414 | − | 1.09464i | −0.189927 | − | 0.0633045i | ||||
\(300\) | −1.53483 | + | 3.85118i | −0.0886134 | + | 0.222348i | ||||
\(301\) | −16.6719 | − | 26.1393i | −0.960951 | − | 1.50664i | ||||
\(302\) | 5.07459 | − | 9.45857i | 0.292010 | − | 0.544280i | ||||
\(303\) | −0.155521 | + | 8.21664i | −0.00893443 | + | 0.472034i | ||||
\(304\) | 26.3643 | + | 4.57454i | 1.51210 | + | 0.262368i | ||||
\(305\) | −0.412870 | − | 0.770233i | −0.0236409 | − | 0.0441034i | ||||
\(306\) | −0.443680 | − | 0.0169653i | −0.0253635 | − | 0.000969844i | ||||
\(307\) | −8.33560 | − | 22.1737i | −0.475738 | − | 1.26552i | −0.927648 | − | 0.373455i | \(-0.878173\pi\) |
0.451911 | − | 0.892063i | \(-0.350743\pi\) | |||||||
\(308\) | 11.7093 | − | 12.8541i | 0.667197 | − | 0.732433i | ||||
\(309\) | −0.415006 | + | 0.849982i | −0.0236089 | + | 0.0483538i | ||||
\(310\) | 1.83773 | − | 3.13452i | 0.104376 | − | 0.178029i | ||||
\(311\) | −12.9787 | + | 24.2124i | −0.735953 | + | 1.37296i | 0.184785 | + | 0.982779i | \(0.440841\pi\) |
−0.920737 | + | 0.390183i | \(0.872412\pi\) | |||||||
\(312\) | 0.912045 | − | 23.4000i | 0.0516344 | − | 1.32477i | ||||
\(313\) | 11.9994 | − | 7.33766i | 0.678249 | − | 0.414749i | −0.139580 | − | 0.990211i | \(-0.544575\pi\) |
0.817829 | + | 0.575462i | \(0.195178\pi\) | |||||||
\(314\) | −7.97677 | − | 1.37498i | −0.450155 | − | 0.0775948i | ||||
\(315\) | −0.945586 | − | 0.654726i | −0.0532778 | − | 0.0368896i | ||||
\(316\) | 30.0917 | − | 11.9412i | 1.69279 | − | 0.671744i | ||||
\(317\) | −5.68486 | + | 3.33015i | −0.319293 | + | 0.187040i | −0.656373 | − | 0.754437i | \(-0.727910\pi\) |
0.337080 | + | 0.941476i | \(0.390561\pi\) | |||||||
\(318\) | −16.4948 | + | 14.9923i | −0.924983 | + | 0.840727i | ||||
\(319\) | 6.47697 | + | 14.6469i | 0.362641 | + | 0.820068i | ||||
\(320\) | 14.6553 | + | 5.54630i | 0.819257 | + | 0.310048i | ||||
\(321\) | 0.642488 | + | 3.73553i | 0.0358602 | + | 0.208497i | ||||
\(322\) | −2.28528 | − | 2.71391i | −0.127353 | − | 0.151241i | ||||
\(323\) | −12.0111 | − | 0.910996i | −0.668317 | − | 0.0506892i | ||||
\(324\) | 7.99276 | + | 17.2209i | 0.444042 | + | 0.956716i | ||||
\(325\) | 5.19014 | + | 1.51427i | 0.287897 | + | 0.0839965i | ||||
\(326\) | 19.5266 | − | 8.18816i | 1.08148 | − | 0.453501i | ||||
\(327\) | 1.66774 | − | 17.5719i | 0.0922264 | − | 0.971728i | ||||
\(328\) | −3.22694 | + | 2.61059i | −0.178178 | + | 0.144146i | ||||
\(329\) | 25.0531 | + | 5.78951i | 1.38122 | + | 0.319186i | ||||
\(330\) | −0.718283 | − | 12.7204i | −0.0395402 | − | 0.700236i | ||||
\(331\) | 9.97191 | − | 7.47827i | 0.548106 | − | 0.411043i | −0.289614 | − | 0.957144i | \(-0.593527\pi\) |
0.837720 | + | 0.546101i | \(0.183888\pi\) | |||||||
\(332\) | −8.99941 | − | 11.5563i | −0.493907 | − | 0.634233i | ||||
\(333\) | 0.794014i | 0.0435117i | ||||||||
\(334\) | 8.27075 | + | 16.2971i | 0.452555 | + | 0.891736i | ||||
\(335\) | − | 7.32991i | − | 0.400476i | ||||||
\(336\) | 13.3163 | − | 19.9677i | 0.726463 | − | 1.08933i | ||||
\(337\) | 15.2903 | − | 11.4667i | 0.832914 | − | 0.624630i | −0.0958111 | − | 0.995400i | \(-0.530544\pi\) |
0.928725 | + | 0.370769i | \(0.120906\pi\) | |||||||
\(338\) | −12.1353 | + | 0.685245i | −0.660074 | + | 0.0372724i | ||||
\(339\) | −19.8628 | − | 4.59008i | −1.07880 | − | 0.249299i | ||||
\(340\) | −6.80643 | − | 1.85220i | −0.369131 | − | 0.100450i | ||||
\(341\) | 0.319952 | − | 3.37111i | 0.0173263 | − | 0.182556i | ||||
\(342\) | −0.637881 | − | 1.52118i | −0.0344926 | − | 0.0822557i | ||||
\(343\) | 8.59466 | + | 2.50757i | 0.464068 | + | 0.135396i | ||||
\(344\) | 4.92681 | − | 25.5683i | 0.265636 | − | 1.37855i | ||||
\(345\) | −2.59225 | − | 0.196612i | −0.139562 | − | 0.0105852i | ||||
\(346\) | −8.42171 | + | 7.09158i | −0.452754 | + | 0.381246i | ||||
\(347\) | 4.99595 | + | 29.0473i | 0.268197 | + | 1.55934i | 0.736911 | + | 0.675990i | \(0.236284\pi\) |
−0.468714 | + | 0.883350i | \(0.655283\pi\) | |||||||
\(348\) | 11.8735 | + | 18.6464i | 0.636488 | + | 0.999553i | ||||
\(349\) | 7.91194 | + | 17.8919i | 0.423517 | + | 0.957731i | 0.990940 | + | 0.134304i | \(0.0428800\pi\) |
−0.567424 | + | 0.823426i | \(0.692060\pi\) | |||||||
\(350\) | 3.72695 | + | 4.10045i | 0.199214 | + | 0.219178i | ||||
\(351\) | 20.1862 | − | 11.8249i | 1.07746 | − | 0.631169i | ||||
\(352\) | 14.5636 | − | 1.07759i | 0.776242 | − | 0.0574358i | ||||
\(353\) | 22.9745 | + | 15.9076i | 1.22281 | + | 0.846674i | 0.991989 | − | 0.126323i | \(-0.0403176\pi\) |
0.230818 | + | 0.972997i | \(0.425860\pi\) | |||||||
\(354\) | 2.46907 | − | 14.3240i | 0.131230 | − | 0.761310i | ||||
\(355\) | 3.47777 | − | 2.12666i | 0.184581 | − | 0.112871i | ||||
\(356\) | −4.34257 | − | 6.54298i | −0.230156 | − | 0.346777i | ||||
\(357\) | −5.10436 | + | 9.52248i | −0.270151 | + | 0.503983i | ||||
\(358\) | 15.8707 | + | 9.30481i | 0.838794 | + | 0.491774i | ||||
\(359\) | 8.54474 | − | 17.5006i | 0.450974 | − | 0.923648i | −0.545368 | − | 0.838197i | \(-0.683610\pi\) |
0.996342 | − | 0.0854513i | \(-0.0272332\pi\) | |||||||
\(360\) | −0.198595 | − | 0.945318i | −0.0104669 | − | 0.0498226i | ||||
\(361\) | −9.06105 | − | 24.1035i | −0.476898 | − | 1.26860i | ||||
\(362\) | 1.12058 | − | 29.3055i | 0.0588963 | − | 1.54026i | ||||
\(363\) | 3.64946 | + | 6.80828i | 0.191547 | + | 0.357342i | ||||
\(364\) | −27.5754 | − | 14.8075i | −1.44534 | − | 0.776124i | ||||
\(365\) | −0.417624 | + | 22.0644i | −0.0218594 | + | 1.15490i | ||||
\(366\) | −0.990622 | − | 0.531476i | −0.0517807 | − | 0.0277807i | ||||
\(367\) | 3.72592 | + | 5.84175i | 0.194492 | + | 0.304937i | 0.926454 | − | 0.376408i | \(-0.122841\pi\) |
−0.731962 | + | 0.681345i | \(0.761395\pi\) | |||||||
\(368\) | 0.173476 | − | 2.97473i | 0.00904304 | − | 0.155068i | ||||
\(369\) | 0.242740 | + | 0.0809076i | 0.0126365 | + | 0.00421188i | ||||
\(370\) | −2.84478 | + | 12.2896i | −0.147893 | + | 0.638908i | ||||
\(371\) | 8.34428 | + | 28.5999i | 0.433213 | + | 1.48483i | ||||
\(372\) | −0.261793 | − | 4.66678i | −0.0135733 | − | 0.241961i | ||||
\(373\) | 4.13902 | − | 4.38095i | 0.214310 | − | 0.226837i | −0.610834 | − | 0.791758i | \(-0.709166\pi\) |
0.825145 | + | 0.564922i | \(0.191094\pi\) | |||||||
\(374\) | −6.47922 | + | 1.11193i | −0.335032 | + | 0.0574963i | ||||
\(375\) | 21.4937 | + | 0.813936i | 1.10993 | + | 0.0420315i | ||||
\(376\) | 11.9355 | + | 17.9977i | 0.615528 | + | 0.928162i | ||||
\(377\) | 22.7321 | − | 17.7295i | 1.17076 | − | 0.913116i | ||||
\(378\) | 23.9726 | + | 0.462583i | 1.23302 | + | 0.0237927i | ||||
\(379\) | 7.62094 | − | 13.5931i | 0.391462 | − | 0.698230i | −0.603622 | − | 0.797271i | \(-0.706276\pi\) |
0.995083 | + | 0.0990410i | \(0.0315775\pi\) | |||||||
\(380\) | −4.42298 | − | 25.8299i | −0.226894 | − | 1.32505i | ||||
\(381\) | 0.972156 | − | 7.29533i | 0.0498051 | − | 0.373751i | ||||
\(382\) | 0.278945 | + | 0.0535371i | 0.0142721 | + | 0.00273920i | ||||
\(383\) | −4.70185 | + | 24.5470i | −0.240253 | + | 1.25429i | 0.635715 | + | 0.771924i | \(0.280705\pi\) |
−0.875968 | + | 0.482369i | \(0.839777\pi\) | |||||||
\(384\) | 19.6514 | − | 4.48784i | 1.00283 | − | 0.229019i | ||||
\(385\) | −15.7016 | − | 6.59102i | −0.800228 | − | 0.335910i | ||||
\(386\) | 29.6072 | − | 6.83042i | 1.50697 | − | 0.347659i | ||||
\(387\) | −1.49153 | + | 0.593153i | −0.0758188 | + | 0.0301516i | ||||
\(388\) | −16.7215 | + | 27.2999i | −0.848907 | + | 1.38594i | ||||
\(389\) | −5.37177 | + | 17.1945i | −0.272359 | + | 0.871797i | 0.712979 | + | 0.701185i | \(0.247345\pi\) |
−0.985338 | + | 0.170612i | \(0.945426\pi\) | |||||||
\(390\) | −21.8935 | + | 6.83091i | −1.10862 | + | 0.345896i | ||||
\(391\) | 0.0507603 | + | 1.34043i | 0.00256706 | + | 0.0677886i | ||||
\(392\) | −6.19509 | − | 10.6024i | −0.312899 | − | 0.535504i | ||||
\(393\) | −1.63323 | + | 2.78807i | −0.0823856 | + | 0.140640i | ||||
\(394\) | 14.4671 | + | 28.2867i | 0.728844 | + | 1.42506i | ||||
\(395\) | −20.8865 | − | 23.8544i | −1.05091 | − | 1.20024i | ||||
\(396\) | −0.539571 | − | 0.720598i | −0.0271145 | − | 0.0362114i | ||||
\(397\) | −21.6495 | − | 8.60957i | −1.08656 | − | 0.432102i | −0.243485 | − | 0.969905i | \(-0.578291\pi\) |
−0.843071 | + | 0.537803i | \(0.819255\pi\) | |||||||
\(398\) | 39.1367 | + | 5.98583i | 1.96174 | + | 0.300043i | ||||
\(399\) | −40.0739 | − | 2.27767i | −2.00620 | − | 0.114026i | ||||
\(400\) | −0.0949304 | + | 4.65281i | −0.00474652 | + | 0.232640i | ||||
\(401\) | 7.76329 | + | 33.5943i | 0.387680 | + | 1.67762i | 0.689526 | + | 0.724261i | \(0.257819\pi\) |
−0.301846 | + | 0.953357i | \(0.597603\pi\) | |||||||
\(402\) | −5.21708 | − | 7.85432i | −0.260204 | − | 0.391738i | ||||
\(403\) | −6.02585 | + | 0.919361i | −0.300169 | + | 0.0457966i | ||||
\(404\) | 3.07575 | + | 8.69732i | 0.153025 | + | 0.432708i | ||||
\(405\) | 13.2714 | − | 13.0225i | 0.659459 | − | 0.647095i | ||||
\(406\) | 29.3571 | − | 3.33698i | 1.45697 | − | 0.165611i | ||||
\(407\) | 2.42974 | + | 11.5024i | 0.120438 | + | 0.570151i | ||||
\(408\) | −8.61169 | + | 2.85978i | −0.426342 | + | 0.141580i | ||||
\(409\) | 35.2480 | − | 6.75157i | 1.74290 | − | 0.333844i | 0.784686 | − | 0.619893i | \(-0.212824\pi\) |
0.958215 | + | 0.286050i | \(0.0923423\pi\) | |||||||
\(410\) | 3.46722 | + | 2.12196i | 0.171234 | + | 0.104796i | ||||
\(411\) | −8.19204 | − | 1.40898i | −0.404084 | − | 0.0694999i | ||||
\(412\) | −0.101103 | + | 1.05697i | −0.00498100 | + | 0.0520732i | ||||
\(413\) | −15.7602 | − | 11.3596i | −0.775508 | − | 0.558967i | ||||
\(414\) | −0.160257 | + | 0.0897704i | −0.00787622 | + | 0.00441198i | ||||
\(415\) | −7.71376 | + | 12.0941i | −0.378654 | + | 0.593678i | ||||
\(416\) | −8.26630 | − | 24.9539i | −0.405289 | − | 1.22347i | ||||
\(417\) | −8.70461 | + | 24.5564i | −0.426267 | + | 1.20253i | ||||
\(418\) | −13.8955 | − | 20.0843i | −0.679649 | − | 0.982356i | ||||
\(419\) | −2.82489 | − | 9.04220i | −0.138005 | − | 0.441741i | 0.859596 | − | 0.510975i | \(-0.170715\pi\) |
−0.997600 | + | 0.0692343i | \(0.977944\pi\) | |||||||
\(420\) | −22.7932 | − | 5.74160i | −1.11219 | − | 0.280161i | ||||
\(421\) | 0.676202 | − | 1.45411i | 0.0329561 | − | 0.0708690i | −0.889581 | − | 0.456778i | \(-0.849004\pi\) |
0.922537 | + | 0.385909i | \(0.126112\pi\) | |||||||
\(422\) | 3.54635 | + | 10.6529i | 0.172633 | + | 0.518574i | ||||
\(423\) | 0.538402 | − | 1.21753i | 0.0261780 | − | 0.0591983i | ||||
\(424\) | −11.4263 | + | 22.2602i | −0.554912 | + | 1.08105i | ||||
\(425\) | −0.158440 | − | 2.08897i | −0.00768546 | − | 0.101330i | ||||
\(426\) | 2.21293 | − | 4.75412i | 0.107217 | − | 0.230338i | ||||
\(427\) | −1.21893 | + | 0.878576i | −0.0589882 | + | 0.0425173i | ||||
\(428\) | 2.14792 | + | 3.67290i | 0.103824 | + | 0.177536i | ||||
\(429\) | −15.8114 | + | 14.3818i | −0.763380 | + | 0.694359i | ||||
\(430\) | −25.2109 | + | 3.83690i | −1.21578 | + | 0.185032i | ||||
\(431\) | 1.18569 | − | 0.0224421i | 0.0571126 | − | 0.00108100i | 0.00963990 | − | 0.999954i | \(-0.496931\pi\) |
0.0474727 | + | 0.998873i | \(0.484883\pi\) | |||||||
\(432\) | 14.3526 | + | 14.1252i | 0.690542 | + | 0.679597i | ||||
\(433\) | 6.81415 | − | 18.1264i | 0.327467 | − | 0.871101i | −0.664805 | − | 0.747017i | \(-0.731485\pi\) |
0.992272 | − | 0.124083i | \(-0.0395990\pi\) | |||||||
\(434\) | −5.75949 | − | 2.42014i | −0.276464 | − | 0.116171i | ||||
\(435\) | 13.3144 | − | 17.0713i | 0.638378 | − | 0.818504i | ||||
\(436\) | −5.17443 | − | 19.1262i | −0.247810 | − | 0.915980i | ||||
\(437\) | −4.43592 | + | 2.27080i | −0.212199 | + | 0.108627i | ||||
\(438\) | 15.2569 | + | 23.9402i | 0.729001 | + | 1.14391i | ||||
\(439\) | −1.20270 | − | 3.60834i | −0.0574016 | − | 0.172217i | 0.916073 | − | 0.401011i | \(-0.131341\pi\) |
−0.973475 | + | 0.228794i | \(0.926522\pi\) | |||||||
\(440\) | −5.76966 | − | 13.0865i | −0.275058 | − | 0.623874i | ||||
\(441\) | −0.344936 | + | 0.673820i | −0.0164255 | + | 0.0320867i | ||||
\(442\) | 4.78190 | + | 10.8245i | 0.227452 | + | 0.514867i | ||||
\(443\) | 5.84853 | − | 6.42990i | 0.277872 | − | 0.305494i | −0.584881 | − | 0.811119i | \(-0.698859\pi\) |
0.862753 | + | 0.505626i | \(0.168738\pi\) | |||||||
\(444\) | 5.69887 | + | 15.1937i | 0.270456 | + | 0.721059i | ||||
\(445\) | −4.61423 | + | 6.15285i | −0.218735 | + | 0.291673i | ||||
\(446\) | 4.05893 | − | 3.04159i | 0.192196 | − | 0.144023i | ||||
\(447\) | 9.16221 | + | 10.8726i | 0.433358 | + | 0.514256i | ||||
\(448\) | 6.12415 | − | 26.2365i | 0.289339 | − | 1.23956i | ||||
\(449\) | −13.0176 | − | 11.3980i | −0.614340 | − | 0.537905i | 0.294178 | − | 0.955751i | \(-0.404954\pi\) |
−0.908518 | + | 0.417845i | \(0.862785\pi\) | |||||||
\(450\) | 0.244803 | − | 0.149573i | 0.0115401 | − | 0.00705093i | ||||
\(451\) | 3.76400 | + | 0.429254i | 0.177240 | + | 0.0202128i | ||||
\(452\) | −22.6861 | + | 3.00606i | −1.06706 | + | 0.141393i | ||||
\(453\) | −12.2619 | + | 5.70213i | −0.576114 | + | 0.267909i | ||||
\(454\) | −23.5651 | + | 24.9241i | −1.10596 | + | 1.16974i | ||||
\(455\) | −4.62329 | + | 30.3028i | −0.216743 | + | 1.42062i | ||||
\(456\) | −23.1239 | − | 24.5298i | −1.08288 | − | 1.14871i | ||||
\(457\) | 22.2857 | + | 32.1861i | 1.04248 | + | 1.50560i | 0.851743 | + | 0.523959i | \(0.175546\pi\) |
0.190737 | + | 0.981641i | \(0.438912\pi\) | |||||||
\(458\) | −1.42227 | − | 37.9277i | −0.0664581 | − | 1.77224i | ||||
\(459\) | −7.04137 | − | 5.70935i | −0.328663 | − | 0.266490i | ||||
\(460\) | −2.80207 | + | 0.815287i | −0.130647 | + | 0.0380129i | ||||
\(461\) | −19.7789 | + | 20.1568i | −0.921193 | + | 0.938794i | −0.998303 | − | 0.0582288i | \(-0.981455\pi\) |
0.0771103 | + | 0.997023i | \(0.475431\pi\) | |||||||
\(462\) | −21.5161 | + | 4.11308i | −1.00102 | + | 0.191358i | ||||
\(463\) | 6.00146 | + | 1.62839i | 0.278911 | + | 0.0756778i | 0.398572 | − | 0.917137i | \(-0.369506\pi\) |
−0.119661 | + | 0.992815i | \(0.538181\pi\) | |||||||
\(464\) | 19.8304 | + | 14.9173i | 0.920605 | + | 0.692517i | ||||
\(465\) | −4.22084 | + | 1.77177i | −0.195737 | + | 0.0821640i | ||||
\(466\) | 21.4192 | − | 15.4264i | 0.992223 | − | 0.714614i | ||||
\(467\) | 21.4949 | + | 18.1135i | 0.994666 | + | 0.838195i | 0.986828 | − | 0.161775i | \(-0.0517218\pi\) |
0.00783850 | + | 0.999969i | \(0.497505\pi\) | |||||||
\(468\) | −1.02152 | + | 1.25795i | −0.0472199 | + | 0.0581489i | ||||
\(469\) | −12.4923 | + | 1.66469i | −0.576840 | + | 0.0768681i | ||||
\(470\) | 12.6955 | − | 16.9158i | 0.585598 | − | 0.780267i | ||||
\(471\) | 7.00322 | + | 7.41256i | 0.322691 | + | 0.341553i | ||||
\(472\) | −3.05179 | − | 16.0284i | −0.140470 | − | 0.737768i | ||||
\(473\) | −19.7917 | + | 13.1568i | −0.910026 | + | 0.604951i | ||||
\(474\) | −39.3591 | − | 10.6950i | −1.80782 | − | 0.491238i | ||||
\(475\) | 6.78879 | − | 3.80612i | 0.311491 | − | 0.174637i | ||||
\(476\) | −1.61088 | + | 12.0208i | −0.0738344 | + | 0.550971i | ||||
\(477\) | 1.53554 | − | 0.145738i | 0.0703077 | − | 0.00667288i | ||||
\(478\) | −10.0837 | + | 4.91881i | −0.461219 | + | 0.224981i | ||||
\(479\) | −5.07414 | + | 1.37678i | −0.231843 | + | 0.0629067i | −0.375890 | − | 0.926664i | \(-0.622663\pi\) |
0.144047 | + | 0.989571i | \(0.453988\pi\) | |||||||
\(480\) | −10.5850 | − | 16.6635i | −0.483137 | − | 0.760582i | ||||
\(481\) | 19.0165 | − | 9.28489i | 0.867080 | − | 0.423355i | ||||
\(482\) | −36.3338 | + | 12.8643i | −1.65496 | + | 0.585952i | ||||
\(483\) | 0.253640 | + | 4.46260i | 0.0115410 | + | 0.203055i | ||||
\(484\) | 6.51972 | + | 5.71705i | 0.296351 | + | 0.259866i | ||||
\(485\) | 30.6761 | + | 6.47997i | 1.39293 | + | 0.294240i | ||||
\(486\) | 0.529880 | − | 2.50388i | 0.0240358 | − | 0.113578i | ||||
\(487\) | 1.13463 | + | 4.51835i | 0.0514149 | + | 0.204746i | 0.990177 | − | 0.139820i | \(-0.0446525\pi\) |
−0.938762 | + | 0.344566i | \(0.888026\pi\) | |||||||
\(488\) | −1.25070 | − | 0.168074i | −0.0566167 | − | 0.00760833i | ||||
\(489\) | −25.8723 | − | 6.49694i | −1.16999 | − | 0.293802i | ||||
\(490\) | −7.75303 | + | 9.19346i | −0.350246 | + | 0.415318i | ||||
\(491\) | 0.572697 | + | 5.02180i | 0.0258455 | + | 0.226631i | 1.00000 | 0.000747043i | \(0.000237791\pi\) | |
−0.974154 | + | 0.225884i | \(0.927473\pi\) | |||||||
\(492\) | 5.22559 | − | 0.194027i | 0.235588 | − | 0.00874742i | ||||
\(493\) | −9.53012 | − | 5.82767i | −0.429215 | − | 0.262465i | ||||
\(494\) | −28.9729 | + | 33.0652i | −1.30355 | + | 1.48767i | ||||
\(495\) | −0.488076 | + | 0.734211i | −0.0219374 | + | 0.0330004i | ||||
\(496\) | −2.11492 | − | 4.80177i | −0.0949628 | − | 0.215606i | ||||
\(497\) | −4.41427 | − | 5.44415i | −0.198007 | − | 0.244203i | ||||
\(498\) | 0.342402 | + | 18.4497i | 0.0153434 | + | 0.826750i | ||||
\(499\) | 5.13086 | − | 1.81875i | 0.229689 | − | 0.0814186i | −0.216770 | − | 0.976223i | \(-0.569552\pi\) |
0.446459 | + | 0.894804i | \(0.352685\pi\) | |||||||
\(500\) | 22.9116 | − | 7.61789i | 1.02464 | − | 0.340682i | ||||
\(501\) | 3.97383 | − | 22.6788i | 0.177537 | − | 1.01321i | ||||
\(502\) | 25.8425 | − | 35.8260i | 1.15341 | − | 1.59899i | ||||
\(503\) | 1.07330 | + | 3.02786i | 0.0478560 | + | 0.135006i | 0.964044 | − | 0.265743i | \(-0.0856174\pi\) |
−0.916188 | + | 0.400749i | \(0.868750\pi\) | |||||||
\(504\) | −1.56599 | + | 0.553153i | −0.0697548 | + | 0.0246394i | ||||
\(505\) | 7.01771 | − | 5.69017i | 0.312284 | − | 0.253209i | ||||
\(506\) | −2.04684 | + | 1.79084i | −0.0909931 | + | 0.0796128i | ||||
\(507\) | 12.7522 | + | 8.47720i | 0.566347 | + | 0.376486i | ||||
\(508\) | −1.85423 | − | 8.05093i | −0.0822683 | − | 0.357202i | ||||
\(509\) | −22.6134 | + | 36.9803i | −1.00232 | + | 1.63912i | −0.264185 | + | 0.964472i | \(0.585103\pi\) |
−0.738138 | + | 0.674650i | \(0.764295\pi\) | |||||||
\(510\) | 5.46278 | + | 7.00950i | 0.241896 | + | 0.310386i | ||||
\(511\) | 37.6989 | − | 4.29926i | 1.66770 | − | 0.190188i | ||||
\(512\) | 18.8852 | − | 12.4640i | 0.834614 | − | 0.550835i | ||||
\(513\) | 8.20235 | − | 32.6636i | 0.362143 | − | 1.44213i | ||||
\(514\) | 27.1927 | + | 13.2893i | 1.19942 | + | 0.586167i | ||||
\(515\) | 1.00856 | − | 0.253266i | 0.0444426 | − | 0.0111602i | ||||
\(516\) | −24.2836 | + | 22.0553i | −1.06903 | + | 0.970930i | ||||
\(517\) | 4.07375 | − | 19.2851i | 0.179163 | − | 0.848158i | ||||
\(518\) | 21.5912 | + | 2.05724i | 0.948661 | + | 0.0903901i | ||||
\(519\) | 13.8482 | − | 0.787086i | 0.607867 | − | 0.0345492i | ||||
\(520\) | −20.3180 | + | 15.8105i | −0.891002 | + | 0.693337i | ||||
\(521\) | 10.9458 | + | 22.4183i | 0.479545 | + | 0.982164i | 0.992327 | + | 0.123645i | \(0.0394584\pi\) |
−0.512782 | + | 0.858519i | \(0.671385\pi\) | |||||||
\(522\) | 0.116251 | − | 1.52527i | 0.00508818 | − | 0.0667594i | ||||
\(523\) | −2.59501 | − | 9.56395i | −0.113472 | − | 0.418202i | 0.885444 | − | 0.464746i | \(-0.153854\pi\) |
−0.998916 | + | 0.0465431i | \(0.985180\pi\) | |||||||
\(524\) | −0.617460 | + | 3.57423i | −0.0269738 | + | 0.156141i | ||||
\(525\) | −0.659588 | − | 6.94964i | −0.0287868 | − | 0.303307i | ||||
\(526\) | −27.2757 | + | 14.6077i | −1.18928 | + | 0.636928i | ||||
\(527\) | 1.15508 | + | 2.06026i | 0.0503161 | + | 0.0897463i | ||||
\(528\) | −15.4968 | − | 9.91617i | −0.674410 | − | 0.431546i | ||||
\(529\) | −12.4256 | − | 18.6918i | −0.540244 | − | 0.812688i | ||||
\(530\) | 24.2891 | + | 3.24581i | 1.05505 | + | 0.140989i | ||||
\(531\) | −0.731121 | + | 0.690746i | −0.0317279 | + | 0.0299758i | ||||
\(532\) | −43.0171 | + | 13.4042i | −1.86503 | + | 0.581147i | ||||
\(533\) | −0.900779 | − | 6.75970i | −0.0390171 | − | 0.292795i | ||||
\(534\) | −0.565044 | + | 9.87723i | −0.0244518 | + | 0.427429i | ||||
\(535\) | 2.68522 | − | 3.18648i | 0.116092 | − | 0.137764i | ||||
\(536\) | −8.57973 | − | 6.19849i | −0.370588 | − | 0.267734i | ||||
\(537\) | −8.97085 | − | 21.3710i | −0.387121 | − | 0.922226i | ||||
\(538\) | −33.1228 | − | 11.7549i | −1.42803 | − | 0.506790i | ||||
\(539\) | −2.93493 | + | 10.8167i | −0.126416 | + | 0.465909i | ||||
\(540\) | 8.32917 | − | 17.8766i | 0.358430 | − | 0.769287i | ||||
\(541\) | −23.0557 | − | 22.6234i | −0.991242 | − | 0.972658i | 0.00838484 | − | 0.999965i | \(-0.497331\pi\) |
−0.999627 | + | 0.0273068i | \(0.991307\pi\) | |||||||
\(542\) | 22.5828 | + | 17.6265i | 0.970015 | + | 0.757121i | ||||
\(543\) | −23.2696 | + | 28.6985i | −0.998594 | + | 1.23157i | ||||
\(544\) | −7.92383 | + | 6.40070i | −0.339731 | + | 0.274428i | ||||
\(545\) | −15.9538 | + | 11.0464i | −0.683384 | + | 0.473176i | ||||
\(546\) | 16.6140 | + | 35.7614i | 0.711014 | + | 1.53045i | ||||
\(547\) | −10.5531 | − | 1.61007i | −0.451216 | − | 0.0688418i | −0.0787639 | − | 0.996893i | \(-0.525097\pi\) |
−0.372452 | + | 0.928051i | \(0.621483\pi\) | |||||||
\(548\) | −9.16562 | + | 1.74862i | −0.391536 | + | 0.0746974i | ||||
\(549\) | 0.0328023 | + | 0.0705383i | 0.00139997 | + | 0.00301050i | ||||
\(550\) | 3.08859 | − | 2.91588i | 0.131698 | − | 0.124333i | ||||
\(551\) | 4.70227 | − | 41.2327i | 0.200323 | − | 1.75657i | ||||
\(552\) | −2.42226 | + | 2.86799i | −0.103098 | + | 0.122070i | ||||
\(553\) | −35.9112 | + | 41.0141i | −1.52710 | + | 1.74410i | ||||
\(554\) | 8.27283 | − | 32.8930i | 0.351479 | − | 1.39749i | ||||
\(555\) | 12.1527 | − | 10.2409i | 0.515853 | − | 0.434704i | ||||
\(556\) | 0.531898 | + | 29.2414i | 0.0225575 | + | 1.24011i | ||||
\(557\) | −4.97190 | − | 3.72859i | −0.210666 | − | 0.157986i | 0.489410 | − | 0.872054i | \(-0.337212\pi\) |
−0.700076 | + | 0.714068i | \(0.746851\pi\) | |||||||
\(558\) | −0.179158 | + | 0.269291i | −0.00758435 | + | 0.0114000i | ||||
\(559\) | 31.6473 | + | 28.7859i | 1.33854 | + | 1.21751i | ||||
\(560\) | −26.2200 | + | 2.95102i | −1.10800 | + | 0.124704i | ||||
\(561\) | 7.37224 | + | 3.77393i | 0.311256 | + | 0.159336i | ||||
\(562\) | 1.12284 | − | 0.106151i | 0.0473640 | − | 0.00447769i | ||||
\(563\) | −32.7862 | + | 10.9280i | −1.38177 | + | 0.460558i | −0.907586 | − | 0.419866i | \(-0.862077\pi\) |
−0.474187 | + | 0.880424i | \(0.657258\pi\) | |||||||
\(564\) | 1.56390 | − | 27.1620i | 0.0658520 | − | 1.14373i | ||||
\(565\) | 10.2126 | + | 19.9499i | 0.429647 | + | 0.839299i | ||||
\(566\) | 10.6899 | + | 8.67423i | 0.449331 | + | 0.364605i | ||||
\(567\) | −25.2082 | − | 19.6607i | −1.05864 | − | 0.825670i | ||||
\(568\) | 0.451682 | − | 5.86916i | 0.0189521 | − | 0.246265i | ||||
\(569\) | 10.2890 | + | 3.86786i | 0.431336 | + | 0.162149i | 0.558082 | − | 0.829786i | \(-0.311538\pi\) |
−0.126746 | + | 0.991935i | \(0.540453\pi\) | |||||||
\(570\) | −15.0550 | + | 29.3826i | −0.630584 | + | 1.23070i | ||||
\(571\) | 0.383817 | + | 20.2782i | 0.0160622 | + | 0.848618i | 0.913351 | + | 0.407173i | \(0.133486\pi\) |
−0.897289 | + | 0.441444i | \(0.854466\pi\) | |||||||
\(572\) | −10.9487 | + | 21.3491i | −0.457788 | + | 0.892649i | ||||
\(573\) | −0.240779 | − | 0.264714i | −0.0100587 | − | 0.0110586i | ||||
\(574\) | 2.82900 | − | 6.39106i | 0.118080 | − | 0.266758i | ||||
\(575\) | −0.506777 | − | 0.703101i | −0.0211341 | − | 0.0293213i | ||||
\(576\) | −1.27444 | − | 0.566944i | −0.0531018 | − | 0.0236227i | ||||
\(577\) | −14.8304 | + | 1.12483i | −0.617398 | + | 0.0468271i | −0.380612 | − | 0.924735i | \(-0.624287\pi\) |
−0.236786 | + | 0.971562i | \(0.576094\pi\) | |||||||
\(578\) | −13.8922 | + | 13.6217i | −0.577840 | + | 0.566588i | ||||
\(579\) | −35.0095 | − | 15.4815i | −1.45495 | − | 0.643390i | ||||
\(580\) | 7.26405 | − | 23.1915i | 0.301623 | − | 0.962973i | ||||
\(581\) | 22.3638 | + | 10.3998i | 0.927805 | + | 0.431456i | ||||
\(582\) | 37.4829 | − | 14.8902i | 1.55372 | − | 0.617219i | ||||
\(583\) | 21.7984 | − | 6.81008i | 0.902799 | − | 0.282045i | ||||
\(584\) | 25.4734 | + | 19.1474i | 1.05410 | + | 0.792326i | ||||
\(585\) | 1.49583 | + | 0.530232i | 0.0618449 | + | 0.0219224i | ||||
\(586\) | 23.6497 | + | 7.89235i | 0.976959 | + | 0.326030i | ||||
\(587\) | 15.2459 | + | 9.72399i | 0.629267 | + | 0.401352i | 0.813529 | − | 0.581525i | \(-0.197544\pi\) |
−0.184262 | + | 0.982877i | \(0.558990\pi\) | |||||||
\(588\) | −1.76424 | + | 15.3694i | −0.0727562 | + | 0.633824i | ||||
\(589\) | −5.13082 | + | 7.11848i | −0.211412 | + | 0.293312i | ||||
\(590\) | −13.7910 | + | 8.07182i | −0.567766 | + | 0.332312i | ||||
\(591\) | 6.78476 | − | 39.4477i | 0.279088 | − | 1.62266i | ||||
\(592\) | 11.9795 | + | 13.7225i | 0.492353 | + | 0.563991i | ||||
\(593\) | 3.01581 | + | 15.7447i | 0.123844 | + | 0.646556i | 0.989338 | + | 0.145636i | \(0.0465229\pi\) |
−0.865494 | + | 0.500920i | \(0.832995\pi\) | |||||||
\(594\) | 0.00677622 | − | 18.3797i | 0.000278032 | − | 0.754129i | ||||
\(595\) | 11.6214 | − | 2.45488i | 0.476431 | − | 0.100640i | ||||
\(596\) | 13.9161 | + | 7.81553i | 0.570026 | + | 0.320137i | ||||
\(597\) | −34.9345 | − | 35.6020i | −1.42977 | − | 1.45709i | ||||
\(598\) | 4.02398 | + | 2.78841i | 0.164553 | + | 0.114026i | ||||
\(599\) | −5.54673 | − | 36.3554i | −0.226633 | − | 1.48544i | −0.765710 | − | 0.643185i | \(-0.777612\pi\) |
0.539077 | − | 0.842256i | \(-0.318773\pi\) | |||||||
\(600\) | 3.61084 | − | 4.61914i | 0.147412 | − | 0.188575i | ||||
\(601\) | −1.20699 | + | 0.278924i | −0.0492343 | + | 0.0113775i | −0.249701 | − | 0.968323i | \(-0.580332\pi\) |
0.200467 | + | 0.979700i | \(0.435754\pi\) | |||||||
\(602\) | 12.2648 | + | 42.0952i | 0.499875 | + | 1.71567i | ||||
\(603\) | −0.0370253 | + | 0.651431i | −0.00150779 | + | 0.0265283i | ||||
\(604\) | −10.6398 | + | 10.8271i | −0.432928 | + | 0.440549i | ||||
\(605\) | 3.13817 | − | 7.89119i | 0.127585 | − | 0.320823i | ||||
\(606\) | 3.46980 | − | 11.0921i | 0.140951 | − | 0.450587i | ||||
\(607\) | 8.68192 | − | 7.60174i | 0.352388 | − | 0.308545i | −0.464239 | − | 0.885710i | \(-0.653672\pi\) |
0.816628 | + | 0.577165i | \(0.195841\pi\) | |||||||
\(608\) | −33.9744 | − | 16.6658i | −1.37785 | − | 0.675886i | ||||
\(609\) | −32.1182 | − | 18.8146i | −1.30149 | − | 0.762405i | ||||
\(610\) | 0.254986 | + | 1.20931i | 0.0103241 | + | 0.0489634i | ||||
\(611\) | −35.4556 | + | 1.34265i | −1.43438 | + | 0.0543179i | ||||
\(612\) | 0.595552 | + | 0.198991i | 0.0240737 | + | 0.00804374i | ||||
\(613\) | 23.8335 | + | 7.44587i | 0.962628 | + | 0.300736i | 0.738824 | − | 0.673898i | \(-0.235381\pi\) |
0.223804 | + | 0.974634i | \(0.428153\pi\) | |||||||
\(614\) | 2.52131 | + | 33.4058i | 0.101752 | + | 1.34815i | ||||
\(615\) | −1.89246 | − | 4.75875i | −0.0763114 | − | 0.191891i | ||||
\(616\) | −20.9928 | + | 12.8052i | −0.845824 | + | 0.515937i | ||||
\(617\) | 12.1246 | − | 28.8842i | 0.488119 | − | 1.16283i | −0.471585 | − | 0.881821i | \(-0.656318\pi\) |
0.959704 | − | 0.281012i | \(-0.0906700\pi\) | |||||||
\(618\) | 0.900456 | − | 0.989231i | 0.0362216 | − | 0.0397927i | ||||
\(619\) | 9.18656 | + | 1.75964i | 0.369239 | + | 0.0707258i | 0.369391 | − | 0.929274i | \(-0.379566\pi\) |
−0.000151868 | 1.00000i | \(0.500048\pi\) | ||||||||
\(620\) | −3.73779 | + | 3.52617i | −0.150113 | + | 0.141614i | ||||
\(621\) | −3.71747 | − | 0.495380i | −0.149177 | − | 0.0198789i | ||||
\(622\) | 27.2206 | − | 27.7203i | 1.09145 | − | 1.11148i | ||||
\(623\) | 11.5342 | + | 6.46661i | 0.462106 | + | 0.259079i | ||||
\(624\) | −10.5184 | + | 31.4030i | −0.421073 | + | 1.25713i | ||||
\(625\) | −10.9649 | − | 14.0588i | −0.438597 | − | 0.562352i | ||||
\(626\) | −19.1989 | + | 5.20170i | −0.767343 | + | 0.207902i | ||||
\(627\) | −1.16432 | + | 30.7464i | −0.0464985 | + | 1.22789i | ||||
\(628\) | 10.2829 | + | 5.03004i | 0.410332 | + | 0.200721i | ||||
\(629\) | −5.96059 | − | 5.63143i | −0.237664 | − | 0.224540i | ||||
\(630\) | 1.02394 | + | 1.26378i | 0.0407947 | + | 0.0503503i | ||||
\(631\) | 13.9949 | − | 4.08314i | 0.557129 | − | 0.162547i | 0.0105341 | − | 0.999945i | \(-0.496647\pi\) |
0.546594 | + | 0.837397i | \(0.315924\pi\) | |||||||
\(632\) | −45.5842 | + | 4.27552i | −1.81324 | + | 0.170071i | ||||
\(633\) | 4.47275 | − | 13.4192i | 0.177776 | − | 0.533365i | ||||
\(634\) | 9.03772 | − | 2.26597i | 0.358934 | − | 0.0899931i | ||||
\(635\) | −6.82172 | + | 4.35096i | −0.270712 | + | 0.172662i | ||||
\(636\) | 28.3370 | − | 13.8098i | 1.12364 | − | 0.547593i | ||||
\(637\) | 20.1715 | + | 0.381796i | 0.799223 | + | 0.0151273i | ||||
\(638\) | −2.98338 | − | 22.4514i | −0.118113 | − | 0.888858i | ||||
\(639\) | −0.319822 | + | 0.171435i | −0.0126520 | + | 0.00678187i | ||||
\(640\) | −17.6944 | − | 13.3411i | −0.699434 | − | 0.527355i | ||||
\(641\) | 19.6842 | − | 7.39974i | 0.777478 | − | 0.292272i | 0.0686385 | − | 0.997642i | \(-0.478134\pi\) |
0.708840 | + | 0.705369i | \(0.249219\pi\) | |||||||
\(642\) | 0.609339 | − | 5.32566i | 0.0240487 | − | 0.210187i | ||||
\(643\) | −8.77883 | − | 4.28629i | −0.346203 | − | 0.169035i | 0.257430 | − | 0.966297i | \(-0.417124\pi\) |
−0.603633 | + | 0.797262i | \(0.706281\pi\) | |||||||
\(644\) | 2.02586 | + | 4.59037i | 0.0798300 | + | 0.180886i | ||||
\(645\) | 28.3157 | + | 15.1782i | 1.11493 | + | 0.597639i | ||||
\(646\) | 15.9434 | + | 6.00021i | 0.627285 | + | 0.236075i | ||||
\(647\) | 9.89112 | + | 16.1752i | 0.388860 | + | 0.635912i | 0.986100 | − | 0.166151i | \(-0.0531338\pi\) |
−0.597240 | + | 0.802062i | \(0.703736\pi\) | |||||||
\(648\) | −4.02017 | − | 26.5467i | −0.157927 | − | 1.04285i | ||||
\(649\) | −8.47754 | + | 12.2437i | −0.332772 | + | 0.480606i | ||||
\(650\) | −6.44488 | − | 4.11395i | −0.252789 | − | 0.161362i | ||||
\(651\) | 3.97820 | + | 6.79114i | 0.155918 | + | 0.266166i | ||||
\(652\) | −29.7541 | + | 3.37099i | −1.16526 | + | 0.132018i | ||||
\(653\) | 10.2246 | − | 4.52141i | 0.400120 | − | 0.176936i | −0.194575 | − | 0.980888i | \(-0.562333\pi\) |
0.594695 | + | 0.803951i | \(0.297273\pi\) | |||||||
\(654\) | −9.23284 | + | 23.1918i | −0.361032 | + | 0.906872i | ||||
\(655\) | 3.50089 | − | 0.602132i | 0.136791 | − | 0.0235272i | ||||
\(656\) | 5.41581 | − | 2.26399i | 0.211452 | − | 0.0883941i | ||||
\(657\) | 0.148568 | − | 1.95882i | 0.00579620 | − | 0.0764207i | ||||
\(658\) | −31.7126 | − | 17.7950i | −1.23629 | − | 0.693721i | ||||
\(659\) | 0.0439284 | − | 0.150564i | 0.00171121 | − | 0.00586515i | −0.959116 | − | 0.283013i | \(-0.908666\pi\) |
0.960827 | + | 0.277147i | \(0.0893891\pi\) | |||||||
\(660\) | −4.06981 | + | 17.5524i | −0.158417 | + | 0.683226i | ||||
\(661\) | 18.3162 | + | 1.73839i | 0.712418 | + | 0.0676154i | 0.444439 | − | 0.895809i | \(-0.353403\pi\) |
0.267980 | + | 0.963425i | \(0.413644\pi\) | |||||||
\(662\) | −16.5024 | + | 6.19668i | −0.641383 | + | 0.240841i | ||||
\(663\) | 3.35672 | − | 14.5256i | 0.130364 | − | 0.564129i | ||||
\(664\) | 7.63322 | + | 19.2564i | 0.296226 | + | 0.747292i | ||||
\(665\) | 26.4747 | + | 35.3027i | 1.02665 | + | 1.36898i | ||||
\(666\) | 0.314902 | − | 1.07785i | 0.0122022 | − | 0.0417657i | ||||
\(667\) | −4.62141 | −0.178942 | ||||||||
\(668\) | −4.76391 | − | 25.4029i | −0.184321 | − | 0.982866i | ||||
\(669\) | −6.38999 | −0.247051 | ||||||||
\(670\) | −2.90701 | + | 9.95010i | −0.112308 | + | 0.384406i | ||||
\(671\) | 0.691038 | + | 0.921465i | 0.0266772 | + | 0.0355728i | ||||
\(672\) | −25.9955 | + | 21.8243i | −1.00280 | + | 0.841891i | ||||
\(673\) | −1.65258 | + | 7.15124i | −0.0637022 | + | 0.275660i | −0.996376 | − | 0.0850616i | \(-0.972891\pi\) |
0.932673 | + | 0.360722i | \(0.117470\pi\) | |||||||
\(674\) | −25.3036 | + | 9.50158i | −0.974660 | + | 0.365987i | ||||
\(675\) | 5.83101 | + | 0.553419i | 0.224436 | + | 0.0213011i | ||||
\(676\) | 16.7450 | + | 3.88261i | 0.644040 | + | 0.149331i | ||||
\(677\) | −7.73215 | + | 26.5019i | −0.297171 | + | 1.01855i | 0.665167 | + | 0.746694i | \(0.268360\pi\) |
−0.962338 | + | 0.271856i | \(0.912363\pi\) | |||||||
\(678\) | 25.1426 | + | 14.1084i | 0.965596 | + | 0.541828i | ||||
\(679\) | 4.07691 | − | 53.7526i | 0.156458 | − | 2.06283i | ||||
\(680\) | 8.50492 | + | 5.21369i | 0.326149 | + | 0.199936i | ||||
\(681\) | 42.5876 | − | 7.32480i | 1.63196 | − | 0.280687i | ||||
\(682\) | −1.77129 | + | 4.44928i | −0.0678263 | + | 0.170372i | ||||
\(683\) | −8.74866 | + | 3.86873i | −0.334758 | + | 0.148033i | −0.564978 | − | 0.825106i | \(-0.691116\pi\) |
0.230220 | + | 0.973139i | \(0.426055\pi\) | |||||||
\(684\) | 0.262610 | + | 2.31792i | 0.0100411 | + | 0.0886280i | ||||
\(685\) | 4.61899 | + | 7.88502i | 0.176482 | + | 0.301271i | ||||
\(686\) | −10.6725 | − | 6.81254i | −0.407477 | − | 0.260104i | ||||
\(687\) | −27.2199 | + | 39.3123i | −1.03850 | + | 1.49986i | ||||
\(688\) | −16.8283 | + | 32.7542i | −0.641571 | + | 1.24874i | ||||
\(689\) | −21.4464 | − | 35.0719i | −0.817045 | − | 1.33613i | ||||
\(690\) | 3.44092 | + | 1.29497i | 0.130994 | + | 0.0492987i | ||||
\(691\) | −20.7017 | − | 11.0968i | −0.787530 | − | 0.422142i | 0.0289030 | − | 0.999582i | \(-0.490799\pi\) |
−0.816433 | + | 0.577440i | \(0.804052\pi\) | |||||||
\(692\) | 14.2447 | − | 6.28656i | 0.541501 | − | 0.238979i | ||||
\(693\) | 1.36215 | + | 0.665076i | 0.0517439 | + | 0.0252641i | ||||
\(694\) | 4.73818 | − | 41.4121i | 0.179859 | − | 1.57198i | ||||
\(695\) | 26.8106 | − | 10.0787i | 1.01698 | − | 0.382308i | ||||
\(696\) | −8.72282 | − | 30.0208i | −0.330638 | − | 1.13794i | ||||
\(697\) | −2.32896 | + | 1.24840i | −0.0882158 | + | 0.0472866i | ||||
\(698\) | −3.64435 | − | 27.4255i | −0.137941 | − | 1.03807i | ||||
\(699\) | −33.2487 | − | 0.629316i | −1.25758 | − | 0.0238029i | ||||
\(700\) | −3.43298 | − | 7.04431i | −0.129754 | − | 0.266250i | ||||
\(701\) | 34.4900 | − | 21.9980i | 1.30267 | − | 0.830855i | 0.309885 | − | 0.950774i | \(-0.399709\pi\) |
0.992784 | + | 0.119919i | \(0.0382636\pi\) | |||||||
\(702\) | −32.0918 | + | 8.04618i | −1.21123 | + | 0.303684i | ||||
\(703\) | 9.63293 | − | 28.9008i | 0.363313 | − | 1.09001i | ||||
\(704\) | −20.1969 | − | 4.31306i | −0.761200 | − | 0.162554i | ||||
\(705\) | −25.5789 | + | 7.46287i | −0.963357 | + | 0.281068i | ||||
\(706\) | −24.8782 | − | 30.7055i | −0.936302 | − | 1.15562i | ||||
\(707\) | −11.2915 | − | 10.6679i | −0.424659 | − | 0.401208i | ||||
\(708\) | −9.03250 | + | 18.4651i | −0.339462 | + | 0.693960i | ||||
\(709\) | 0.754241 | − | 19.9173i | 0.0283261 | − | 0.748011i | −0.912491 | − | 0.409096i | \(-0.865844\pi\) |
0.940817 | − | 0.338914i | \(-0.110060\pi\) | |||||||
\(710\) | −5.56438 | + | 1.50760i | −0.208828 | + | 0.0565791i | ||||
\(711\) | 1.73575 | + | 2.22551i | 0.0650956 | + | 0.0834631i | ||||
\(712\) | 3.29998 | + | 10.6041i | 0.123672 | + | 0.397406i | ||||
\(713\) | 0.852344 | + | 0.477865i | 0.0319205 | + | 0.0178962i | ||||
\(714\) | 10.7056 | − | 10.9021i | 0.400646 | − | 0.408000i | ||||
\(715\) | 23.2917 | + | 3.10378i | 0.871058 | + | 0.116075i | ||||
\(716\) | −17.8537 | − | 18.9252i | −0.667224 | − | 0.707268i | ||||
\(717\) | 13.8823 | + | 2.65908i | 0.518443 | + | 0.0993051i | ||||
\(718\) | −18.5399 | + | 20.3677i | −0.691901 | + | 0.760116i | ||||
\(719\) | −0.416498 | + | 0.992210i | −0.0155327 | + | 0.0370032i | −0.929639 | − | 0.368471i | \(-0.879881\pi\) |
0.914107 | + | 0.405474i | \(0.132894\pi\) | |||||||
\(720\) | −0.105322 | + | 1.36200i | −0.00392513 | + | 0.0507587i | ||||
\(721\) | −0.660691 | − | 1.66136i | −0.0246054 | − | 0.0618723i | ||||
\(722\) | 2.74074 | + | 36.3132i | 0.102000 | + | 1.35144i | ||||
\(723\) | 46.3497 | + | 14.4802i | 1.72376 | + | 0.538523i | ||||
\(724\) | −13.1436 | + | 39.3368i | −0.488477 | + | 1.46194i | ||||
\(725\) | 7.21247 | − | 0.273126i | 0.267865 | − | 0.0101437i | ||||
\(726\) | −2.25388 | − | 10.6894i | −0.0836495 | − | 0.396719i | ||||
\(727\) | −44.2342 | − | 25.9121i | −1.64056 | − | 0.961025i | −0.977092 | − | 0.212816i | \(-0.931737\pi\) |
−0.663463 | − | 0.748209i | \(-0.730914\pi\) | |||||||
\(728\) | 31.5601 | + | 31.0369i | 1.16969 | + | 1.15031i | ||||
\(729\) | 18.9998 | − | 16.6359i | 0.703698 | − | 0.616146i | ||||
\(730\) | 9.31754 | − | 29.7860i | 0.344858 | − | 1.10243i | ||||
\(731\) | 6.12573 | − | 15.4036i | 0.226568 | − | 0.569724i | ||||
\(732\) | 1.13395 | + | 1.11434i | 0.0419122 | + | 0.0411871i | ||||
\(733\) | −1.02466 | + | 18.0282i | −0.0378468 | + | 0.665885i | 0.922315 | + | 0.386440i | \(0.126295\pi\) |
−0.960162 | + | 0.279446i | \(0.909849\pi\) | |||||||
\(734\) | −2.74100 | − | 9.40765i | −0.101172 | − | 0.347243i | ||||
\(735\) | 14.7620 | − | 3.41134i | 0.544503 | − | 0.125829i | ||||
\(736\) | −1.41525 | + | 3.96929i | −0.0521668 | + | 0.146310i | ||||
\(737\) | 1.45706 | + | 9.55015i | 0.0536716 | + | 0.351784i | ||||
\(738\) | −0.297424 | − | 0.206099i | −0.0109483 | − | 0.00758660i | ||||
\(739\) | 8.52143 | + | 8.68424i | 0.313466 | + | 0.319455i | 0.852397 | − | 0.522894i | \(-0.175148\pi\) |
−0.538932 | + | 0.842350i | \(0.681172\pi\) | |||||||
\(740\) | 8.73571 | − | 15.5545i | 0.321131 | − | 0.571796i | ||||
\(741\) | 54.1900 | − | 11.4470i | 1.99072 | − | 0.420516i | ||||
\(742\) | 0.0155334 | − | 42.1327i | 0.000570251 | − | 1.54674i | ||||
\(743\) | 3.01156 | + | 15.7225i | 0.110483 | + | 0.576801i | 0.994089 | + | 0.108569i | \(0.0346269\pi\) |
−0.883606 | + | 0.468232i | \(0.844891\pi\) | |||||||
\(744\) | −1.49545 | + | 6.43882i | −0.0548258 | + | 0.236059i | ||||
\(745\) | 2.64955 | − | 15.4049i | 0.0970720 | − | 0.564392i | ||||
\(746\) | −7.35604 | + | 4.30547i | −0.269324 | + | 0.157634i | ||||
\(747\) | 0.746635 | − | 1.03588i | 0.0273180 | − | 0.0379008i | ||||
\(748\) | 9.23629 | + | 1.06023i | 0.337712 | + | 0.0387657i | ||||
\(749\) | −6.04052 | − | 3.85270i | −0.220716 | − | 0.140775i | ||||
\(750\) | −28.8541 | − | 9.62919i | −1.05360 | − | 0.351608i | ||||
\(751\) | 27.3053 | + | 9.67902i | 0.996386 | + | 0.353192i | 0.781811 | − | 0.623515i | \(-0.214296\pi\) |
0.214574 | + | 0.976708i | \(0.431164\pi\) | |||||||
\(752\) | −9.06425 | − | 29.1649i | −0.330539 | − | 1.06353i | ||||
\(753\) | −53.1199 | + | 16.5952i | −1.93580 | + | 0.604764i | ||||
\(754\) | −37.8895 | + | 15.0517i | −1.37985 | + | 0.548152i | ||||
\(755\) | 13.4803 | + | 6.26874i | 0.490600 | + | 0.228143i | ||||
\(756\) | −32.3585 | − | 10.1354i | −1.17687 | − | 0.368619i | ||||
\(757\) | −10.0904 | − | 4.46207i | −0.366742 | − | 0.162177i | 0.212847 | − | 0.977086i | \(-0.431727\pi\) |
−0.579589 | + | 0.814909i | \(0.696787\pi\) | |||||||
\(758\) | −15.7361 | + | 15.4297i | −0.571562 | + | 0.560432i | ||||
\(759\) | 3.41653 | − | 0.259130i | 0.124012 | − | 0.00940583i | ||||
\(760\) | −4.23999 | + | 36.8174i | −0.153801 | + | 1.33551i | ||||
\(761\) | 18.5600 | + | 25.7500i | 0.672799 | + | 0.933438i | 0.999933 | − | 0.0115399i | \(-0.00367335\pi\) |
−0.327134 | + | 0.944978i | \(0.606083\pi\) | |||||||
\(762\) | −4.21296 | + | 9.51761i | −0.152620 | + | 0.344787i | ||||
\(763\) | 22.4495 | + | 24.6810i | 0.812726 | + | 0.893514i | ||||
\(764\) | −0.357426 | − | 0.183303i | −0.0129312 | − | 0.00663167i | ||||
\(765\) | −0.0116375 | − | 0.614844i | −0.000420754 | − | 0.0222297i | ||||
\(766\) | 16.1178 | − | 31.4570i | 0.582361 | − | 1.13659i | ||||
\(767\) | 25.0927 | + | 9.43294i | 0.906046 | + | 0.340604i | ||||
\(768\) | −28.4559 | − | 1.70156i | −1.02682 | − | 0.0613998i | ||||
\(769\) | −27.4219 | − | 21.3872i | −0.988858 | − | 0.771242i | −0.0153471 | − | 0.999882i | \(-0.504885\pi\) |
−0.973511 | + | 0.228640i | \(0.926572\pi\) | |||||||
\(770\) | 18.7004 | + | 15.1743i | 0.673916 | + | 0.546843i | ||||
\(771\) | −17.3751 | − | 33.9416i | −0.625750 | − | 1.22238i | ||||
\(772\) | −42.8996 | − | 2.47002i | −1.54399 | − | 0.0888978i | ||||
\(773\) | 52.3727 | − | 17.4563i | 1.88371 | − | 0.627861i | 0.903976 | − | 0.427584i | \(-0.140635\pi\) |
0.979739 | − | 0.200276i | \(-0.0641840\pi\) | |||||||
\(774\) | 2.25994 | − | 0.213650i | 0.0812320 | − | 0.00767949i | ||||
\(775\) | −1.35847 | − | 0.695414i | −0.0487975 | − | 0.0249800i | ||||
\(776\) | 33.5259 | − | 30.4269i | 1.20351 | − | 1.09226i | ||||
\(777\) | −20.2135 | − | 18.3859i | −0.725155 | − | 0.659589i | ||||
\(778\) | 14.1113 | − | 21.2106i | 0.505913 | − | 0.760435i | ||||
\(779\) | −7.85378 | − | 5.88981i | −0.281391 | − | 0.211024i | ||||
\(780\) | 32.4287 | − | 0.589875i | 1.16113 | − | 0.0211209i | ||||
\(781\) | −4.10845 | + | 3.46215i | −0.147012 | + | 0.123885i | ||||
\(782\) | 0.462704 | − | 1.83972i | 0.0165463 | − | 0.0657883i | ||||
\(783\) | 20.5739 | − | 23.4974i | 0.735252 | − | 0.839729i | ||||
\(784\) | 4.20474 | + | 16.8494i | 0.150169 | + | 0.601764i | ||||
\(785\) | 1.27028 | − | 11.1387i | 0.0453383 | − | 0.397558i | ||||
\(786\) | 3.32279 | − | 3.13698i | 0.118520 | − | 0.111892i | ||||
\(787\) | 15.6465 | + | 33.6463i | 0.557736 | + | 1.19936i | 0.959002 | + | 0.283398i | \(0.0914619\pi\) |
−0.401266 | + | 0.915962i | \(0.631430\pi\) | |||||||
\(788\) | −8.42026 | − | 44.1358i | −0.299959 | − | 1.57227i | ||||
\(789\) | 38.5347 | + | 5.87922i | 1.37187 | + | 0.209306i | ||||
\(790\) | 18.8921 | + | 40.6649i | 0.672151 | + | 1.44679i | ||||
\(791\) | 31.6810 | − | 21.9360i | 1.12645 | − | 0.779954i | ||||
\(792\) | 0.446663 | + | 1.19218i | 0.0158715 | + | 0.0423622i | ||||
\(793\) | 1.30581 | − | 1.61046i | 0.0463706 | − | 0.0571891i | ||||
\(794\) | 25.9739 | + | 20.2733i | 0.921779 | + | 0.719472i | ||||
\(795\) | −22.0355 | − | 21.6224i | −0.781519 | − | 0.766867i | ||||
\(796\) | −50.7527 | − | 23.6470i | −1.79888 | − | 0.838145i | ||||
\(797\) | −3.03152 | + | 11.1727i | −0.107382 | + | 0.395758i | −0.998292 | − | 0.0584222i | \(-0.981393\pi\) |
0.890910 | + | 0.454180i | \(0.150068\pi\) | |||||||
\(798\) | 53.4956 | + | 18.9850i | 1.89372 | + | 0.672061i | ||||
\(799\) | 5.32135 | + | 12.6769i | 0.188256 | + | 0.448476i | ||||
\(800\) | 1.97415 | − | 6.27838i | 0.0697966 | − | 0.221974i | ||||
\(801\) | 0.441160 | − | 0.523514i | 0.0155876 | − | 0.0184975i | ||||
\(802\) | 2.78493 | − | 48.6819i | 0.0983395 | − | 1.71902i | ||||
\(803\) | −3.84190 | − | 28.8307i | −0.135578 | − | 1.01741i | ||||
\(804\) | 3.96702 | + | 12.7310i | 0.139906 | + | 0.448989i | ||||
\(805\) | 3.57192 | − | 3.37466i | 0.125893 | − | 0.118941i | ||||
\(806\) | 8.54449 | + | 1.14182i | 0.300967 | + | 0.0402190i | ||||
\(807\) | 24.5130 | + | 36.8748i | 0.862898 | + | 1.29806i | ||||
\(808\) | −0.725912 | − | 13.0261i | −0.0255375 | − | 0.458258i | ||||
\(809\) | 0.635000 | + | 1.13262i | 0.0223254 | + | 0.0398207i | 0.883200 | − | 0.468996i | \(-0.155384\pi\) |
−0.860875 | + | 0.508817i | \(0.830083\pi\) | |||||||
\(810\) | −23.1801 | + | 12.4143i | −0.814465 | + | 0.436193i | ||||
\(811\) | 4.44888 | + | 46.8748i | 0.156221 | + | 1.64600i | 0.638240 | + | 0.769837i | \(0.279663\pi\) |
−0.482019 | + | 0.876161i | \(0.660096\pi\) | |||||||
\(812\) | −41.1746 | − | 7.11304i | −1.44495 | − | 0.249619i | ||||
\(813\) | −9.45094 | − | 34.8316i | −0.331459 | − | 1.22160i | ||||
\(814\) | 1.26350 | − | 16.5777i | 0.0442856 | − | 0.581047i | ||||
\(815\) | 12.8669 | + | 26.3529i | 0.450707 | + | 0.923100i | ||||
\(816\) | 12.8243 | − | 0.466698i | 0.448939 | − | 0.0163377i | ||||
\(817\) | 61.4854 | − | 3.49464i | 2.15110 | − | 0.122262i | ||||
\(818\) | −50.5256 | − | 4.81416i | −1.76658 | − | 0.168323i | ||||
\(819\) | 0.563952 | − | 2.66974i | 0.0197061 | − | 0.0932884i | ||||
\(820\) | −3.86507 | − | 4.25558i | −0.134974 | − | 0.148611i | ||||
\(821\) | −40.4880 | + | 10.1672i | −1.41304 | + | 0.354836i | −0.873377 | − | 0.487045i | \(-0.838075\pi\) |
−0.539663 | + | 0.841881i | \(0.681448\pi\) | |||||||
\(822\) | 10.5616 | + | 5.16157i | 0.368379 | + | 0.180030i | ||||
\(823\) | −4.06385 | + | 16.1832i | −0.141657 | + | 0.564110i | 0.857141 | + | 0.515083i | \(0.172239\pi\) |
−0.998797 | + | 0.0490277i | \(0.984388\pi\) | |||||||
\(824\) | 0.556434 | − | 1.39470i | 0.0193843 | − | 0.0485868i | ||||
\(825\) | −5.31675 | + | 0.606334i | −0.185106 | + | 0.0211098i | ||||
\(826\) | 16.8888 | + | 21.6706i | 0.587635 | + | 0.754017i | ||||
\(827\) | −9.00334 | + | 14.7234i | −0.313077 | + | 0.511982i | −0.970361 | − | 0.241662i | \(-0.922308\pi\) |
0.657284 | + | 0.753643i | \(0.271705\pi\) | |||||||
\(828\) | 0.253146 | − | 0.0583029i | 0.00879744 | − | 0.00202617i | ||||
\(829\) | 5.40188 | + | 3.59097i | 0.187615 | + | 0.124719i | 0.643886 | − | 0.765122i | \(-0.277321\pi\) |
−0.456271 | + | 0.889841i | \(0.650815\pi\) | |||||||
\(830\) | 15.2677 | − | 13.3581i | 0.529948 | − | 0.463668i | ||||
\(831\) | −33.1907 | + | 26.9119i | −1.15137 | + | 0.933565i | ||||
\(832\) | 1.32461 | + | 37.1524i | 0.0459228 | + | 1.28803i | ||||
\(833\) | −2.61190 | − | 7.36838i | −0.0904968 | − | 0.255299i | ||||
\(834\) | 21.5552 | − | 29.8823i | 0.746395 | − | 1.03474i | ||||
\(835\) | −21.8807 | + | 12.7256i | −0.757212 | + | 0.440387i | ||||
\(836\) | 10.8973 | + | 32.7746i | 0.376890 | + | 1.13353i | ||||
\(837\) | −6.22422 | + | 2.20632i | −0.215141 | + | 0.0762617i | ||||
\(838\) | 0.248590 | + | 13.3948i | 0.00858742 | + | 0.462716i | ||||
\(839\) | −14.6764 | − | 18.1005i | −0.506685 | − | 0.624897i | 0.457794 | − | 0.889058i | \(-0.348640\pi\) |
−0.964479 | + | 0.264161i | \(0.914905\pi\) | |||||||
\(840\) | 28.6639 | + | 16.8337i | 0.988998 | + | 0.580818i | ||||
\(841\) | 5.25130 | − | 7.89952i | 0.181079 | − | 0.272397i | ||||
\(842\) | −1.49461 | + | 1.70573i | −0.0515078 | + | 0.0587832i | ||||
\(843\) | −1.21221 | − | 0.741269i | −0.0417509 | − | 0.0255307i | ||||
\(844\) | −0.589159 | − | 15.8674i | −0.0202797 | − | 0.546178i | ||||
\(845\) | −1.90747 | − | 16.7260i | −0.0656189 | − | 0.575392i | ||||
\(846\) | −1.21373 | + | 1.43923i | −0.0417289 | + | 0.0494816i | ||||
\(847\) | −14.1616 | − | 3.55619i | −0.486597 | − | 0.122192i | ||||
\(848\) | 24.3391 | − | 25.6858i | 0.835809 | − | 0.882054i | ||||
\(849\) | −4.22407 | − | 16.8212i | −0.144970 | − | 0.577303i | ||||
\(850\) | −0.613398 | + | 2.89854i | −0.0210394 | + | 0.0994190i | ||||
\(851\) | −3.31919 | − | 0.701141i | −0.113781 | − | 0.0240348i | ||||
\(852\) | −4.88944 | + | 5.57591i | −0.167509 | + | 0.191028i | ||||
\(853\) | 0.0317018 | + | 0.557768i | 0.00108545 | + | 0.0190976i | 0.998886 | − | 0.0471939i | \(-0.0150279\pi\) |
−0.997800 | + | 0.0662915i | \(0.978883\pi\) | |||||||
\(854\) | 2.00310 | − | 0.709213i | 0.0685445 | − | 0.0242688i | ||||
\(855\) | 2.05296 | − | 1.00236i | 0.0702097 | − | 0.0342801i | ||||
\(856\) | −1.45907 | − | 5.83770i | −0.0498701 | − | 0.199528i | ||||
\(857\) | −40.3057 | + | 10.9363i | −1.37682 | + | 0.373576i | −0.871939 | − | 0.489614i | \(-0.837138\pi\) |
−0.504879 | + | 0.863190i | \(0.668463\pi\) | |||||||
\(858\) | 27.1671 | − | 13.2520i | 0.927471 | − | 0.452417i | ||||
\(859\) | −21.9243 | + | 2.08083i | −0.748048 | + | 0.0709971i | −0.461587 | − | 0.887095i | \(-0.652720\pi\) |
−0.286461 | + | 0.958092i | \(0.592479\pi\) | |||||||
\(860\) | 35.7446 | + | 4.79005i | 1.21888 | + | 0.163339i | ||||
\(861\) | −7.68048 | + | 4.30605i | −0.261750 | + | 0.146750i | ||||
\(862\) | −1.61843 | − | 0.439774i | −0.0551240 | − | 0.0149788i | ||||
\(863\) | −16.7021 | + | 11.1029i | −0.568547 | + | 0.377949i | −0.804623 | − | 0.593786i | \(-0.797633\pi\) |
0.236076 | + | 0.971735i | \(0.424139\pi\) | |||||||
\(864\) | −13.8812 | − | 24.8666i | −0.472249 | − | 0.845979i | ||||
\(865\) | −10.4721 | − | 11.0842i | −0.356063 | − | 0.376875i | ||||
\(866\) | −16.4388 | + | 21.9035i | −0.558614 | + | 0.744313i | ||||
\(867\) | 24.2968 | − | 3.23773i | 0.825163 | − | 0.109959i | ||||
\(868\) | 6.85849 | + | 5.56945i | 0.232792 | + | 0.189039i | ||||
\(869\) | 31.9548 | + | 26.9280i | 1.08399 | + | 0.913470i | ||||
\(870\) | −24.8443 | + | 17.8932i | −0.842299 | + | 0.606637i | ||||
\(871\) | 16.0347 | − | 6.73083i | 0.543314 | − | 0.228065i | ||||
\(872\) | −0.561258 | + | 28.0153i | −0.0190066 | + | 0.948719i | ||||
\(873\) | −2.69354 | − | 0.730846i | −0.0911626 | − | 0.0247354i | ||||
\(874\) | 6.92220 | − | 1.32327i | 0.234147 | − | 0.0447601i | ||||
\(875\) | −28.4752 | + | 29.0192i | −0.962636 | + | 0.981029i | ||||
\(876\) | −11.2161 | − | 38.5488i | −0.378957 | − | 1.30244i | ||||
\(877\) | 12.9087 | + | 10.4668i | 0.435896 | + | 0.353437i | 0.822458 | − | 0.568826i | \(-0.192602\pi\) |
−0.386562 | + | 0.922264i | \(0.626337\pi\) | |||||||
\(878\) | 0.201566 | + | 5.37518i | 0.00680253 | + | 0.181404i | ||||
\(879\) | −17.8805 | − | 25.8239i | −0.603094 | − | 0.871017i | ||||
\(880\) | 2.64207 | + | 20.0527i | 0.0890643 | + | 0.675976i | ||||
\(881\) | 4.52245 | − | 29.6419i | 0.152365 | − | 0.998660i | −0.777001 | − | 0.629500i | \(-0.783260\pi\) |
0.929366 | − | 0.369160i | \(-0.120355\pi\) | |||||||
\(882\) | 0.735473 | − | 0.777887i | 0.0247647 | − | 0.0261928i | ||||
\(883\) | 30.5137 | − | 14.1897i | 1.02687 | − | 0.477523i | 0.165879 | − | 0.986146i | \(-0.446954\pi\) |
0.860989 | + | 0.508623i | \(0.169845\pi\) | |||||||
\(884\) | −2.19833 | − | 16.5903i | −0.0739379 | − | 0.557993i | ||||
\(885\) | 20.0019 | + | 2.28106i | 0.672356 | + | 0.0766769i | ||||
\(886\) | −10.4892 | + | 6.40886i | −0.352393 | + | 0.215310i | ||||
\(887\) | 31.6503 | + | 27.7125i | 1.06271 | + | 0.930494i | 0.997727 | − | 0.0673923i | \(-0.0214679\pi\) |
0.0649875 | + | 0.997886i | \(0.479299\pi\) | |||||||
\(888\) | −1.71028 | − | 22.8850i | −0.0573933 | − | 0.767971i | ||||
\(889\) | 8.96455 | + | 10.6380i | 0.300661 | + | 0.356788i | ||||
\(890\) | 8.70385 | − | 6.52230i | 0.291754 | − | 0.218628i | ||||
\(891\) | −14.7026 | + | 19.6052i | −0.492556 | + | 0.656799i | ||||
\(892\) | −6.71613 | + | 2.51910i | −0.224873 | + | 0.0843457i | ||||
\(893\) | −34.3680 | + | 37.7843i | −1.15008 | + | 1.26440i | ||||
\(894\) | −8.12537 | − | 18.3928i | −0.271753 | − | 0.615149i | ||||
\(895\) | −11.6109 | + | 22.6814i | −0.388109 | + | 0.758156i | ||||
\(896\) | −18.7186 | + | 33.1863i | −0.625344 | + | 1.10868i | ||||
\(897\) | −1.95028 | − | 5.85126i | −0.0651181 | − | 0.195368i | ||||
\(898\) | 13.1506 | + | 20.6351i | 0.438841 | + | 0.688603i | ||||
\(899\) | −7.24357 | + | 3.70807i | −0.241587 | + | 0.123671i | ||||
\(900\) | −0.391631 | + | 0.105952i | −0.0130544 | + | 0.00353175i | ||||
\(901\) | −9.79657 | + | 12.5608i | −0.326371 | + | 0.418461i | ||||
\(902\) | −4.93926 | − | 2.07548i | −0.164459 | − | 0.0691060i | ||||
\(903\) | 19.4372 | − | 51.7052i | 0.646829 | − | 1.72064i | ||||
\(904\) | 31.9878 | + | 4.91657i | 1.06390 | + | 0.163523i | ||||
\(905\) | 40.6110 | − | 0.768666i | 1.34996 | − | 0.0255513i | ||||
\(906\) | 18.9065 | − | 2.87743i | 0.628128 | − | 0.0955963i | ||||
\(907\) | −26.2547 | + | 23.8809i | −0.871774 | + | 0.792952i | −0.979545 | − | 0.201224i | \(-0.935508\pi\) |
0.107771 | + | 0.994176i | \(0.465629\pi\) | |||||||
\(908\) | 41.8736 | − | 24.4878i | 1.38962 | − | 0.812655i | ||||
\(909\) | −0.652427 | + | 0.470253i | −0.0216396 | + | 0.0155973i | ||||
\(910\) | 18.2939 | − | 39.3014i | 0.606437 | − | 1.30283i | ||||
\(911\) | −1.13241 | − | 14.9304i | −0.0375185 | − | 0.494667i | −0.984734 | − | 0.174068i | \(-0.944309\pi\) |
0.947215 | − | 0.320599i | \(-0.103884\pi\) | |||||||
\(912\) | 21.6615 | + | 42.4692i | 0.717284 | + | 1.40630i | ||||
\(913\) | 7.64616 | − | 17.2908i | 0.253051 | − | 0.572243i | ||||
\(914\) | −17.4872 | − | 52.5299i | −0.578425 | − | 1.73753i | ||||
\(915\) | 0.656542 | − | 1.41183i | 0.0217046 | − | 0.0466738i | ||||
\(916\) | −13.1113 | + | 52.0496i | −0.433208 | + | 1.71977i | ||||
\(917\) | −1.82129 | − | 5.82978i | −0.0601442 | − | 0.192516i | ||||
\(918\) | 7.29412 | + | 10.5428i | 0.240742 | + | 0.347965i | ||||
\(919\) | −14.7723 | + | 41.6739i | −0.487293 | + | 1.37469i | 0.401278 | + | 0.915956i | \(0.368566\pi\) |
−0.888571 | + | 0.458738i | \(0.848301\pi\) | |||||||
\(920\) | 4.12705 | + | 0.00456467i | 0.136065 | + | 0.000150493i | ||||
\(921\) | 22.6957 | − | 35.5838i | 0.747848 | − | 1.17253i | ||||
\(922\) | 34.8432 | − | 19.5179i | 1.14750 | − | 0.642788i | ||||
\(923\) | 7.84573 | + | 5.65501i | 0.258245 | + | 0.186137i | ||||
\(924\) | 30.8386 | + | 2.94983i | 1.01452 | + | 0.0970423i | ||||
\(925\) | 5.22159 | + | 0.898081i | 0.171685 | + | 0.0295287i | ||||
\(926\) | −7.50096 | − | 4.59063i | −0.246497 | − | 0.150858i | ||||
\(927\) | −0.0909132 | + | 0.0174139i | −0.00298598 | + | 0.000571949i | ||||
\(928\) | −21.0030 | − | 28.1143i | −0.689458 | − | 0.922898i | ||||
\(929\) | 0.737941 | + | 3.49341i | 0.0242110 | + | 0.114615i | 0.988835 | − | 0.149015i | \(-0.0476103\pi\) |
−0.964624 | + | 0.263630i | \(0.915080\pi\) | |||||||
\(930\) | 6.43232 | − | 0.731154i | 0.210924 | − | 0.0239755i | ||||
\(931\) | 20.7299 | − | 20.3412i | 0.679394 | − | 0.666656i | ||||
\(932\) | −35.1938 | + | 12.4461i | −1.15281 | + | 0.407685i | ||||
\(933\) | −48.3855 | + | 7.38215i | −1.58407 | + | 0.241681i | ||||
\(934\) | −21.9949 | − | 33.1133i | −0.719694 | − | 1.08350i | ||||
\(935\) | −2.05005 | − | 8.87123i | −0.0670438 | − | 0.290120i | ||||
\(936\) | 1.88558 | − | 1.30250i | 0.0616321 | − | 0.0425734i | ||||
\(937\) | −53.6520 | − | 3.04941i | −1.75273 | − | 0.0996199i | −0.849183 | − | 0.528099i | \(-0.822905\pi\) |
−0.903551 | + | 0.428480i | \(0.859049\pi\) | |||||||
\(938\) | 17.6180 | + | 2.69463i | 0.575250 | + | 0.0879826i | ||||
\(939\) | 23.2857 | + | 9.26027i | 0.759900 | + | 0.302197i | ||||
\(940\) | −23.9424 | + | 17.9276i | −0.780914 | + | 0.584735i | ||||
\(941\) | −5.21460 | − | 5.95558i | −0.169991 | − | 0.194146i | 0.661075 | − | 0.750320i | \(-0.270100\pi\) |
−0.831066 | + | 0.556173i | \(0.812269\pi\) | |||||||
\(942\) | −6.56684 | − | 12.8397i | −0.213959 | − | 0.418341i | ||||
\(943\) | −0.552563 | + | 0.943275i | −0.0179939 | + | 0.0307173i | ||||
\(944\) | −2.21410 | + | 22.9684i | −0.0720629 | + | 0.747556i | ||||
\(945\) | 1.25667 | + | 33.1849i | 0.0408793 | + | 1.07950i | ||||
\(946\) | 32.0845 | − | 10.0106i | 1.04316 | − | 0.325472i | ||||
\(947\) | −0.259123 | + | 0.829428i | −0.00842036 | + | 0.0269528i | −0.958619 | − | 0.284692i | \(-0.908109\pi\) |
0.950199 | + | 0.311645i | \(0.100880\pi\) | |||||||
\(948\) | 49.1871 | + | 30.1277i | 1.59752 | + | 0.978504i | ||||
\(949\) | −48.6507 | + | 19.3474i | −1.57927 | + | 0.628045i | ||||
\(950\) | −10.7250 | + | 2.47428i | −0.347966 | + | 0.0802762i | ||||
\(951\) | −10.8235 | − | 4.54336i | −0.350977 | − | 0.147329i | ||||
\(952\) | 6.95409 | − | 15.6789i | 0.225383 | − | 0.508156i | ||||
\(953\) | −2.66138 | + | 13.8943i | −0.0862104 | + | 0.450079i | 0.912911 | + | 0.408160i | \(0.133829\pi\) |
−0.999121 | + | 0.0419198i | \(0.986653\pi\) | |||||||
\(954\) | −2.14225 | − | 0.411155i | −0.0693577 | − | 0.0133116i | ||||
\(955\) | −0.0519635 | + | 0.389949i | −0.00168150 | + | 0.0126184i | ||||
\(956\) | 15.6391 | − | 2.67796i | 0.505805 | − | 0.0866113i | ||||
\(957\) | −13.9539 | + | 24.8888i | −0.451065 | + | 0.804542i | ||||
\(958\) | 7.43399 | + | 0.143449i | 0.240181 | + | 0.00463462i | ||||
\(959\) | 12.3893 | − | 9.66284i | 0.400072 | − | 0.312029i | ||||
\(960\) | 7.76008 | + | 26.8181i | 0.250456 | + | 0.865551i | ||||
\(961\) | −29.2584 | − | 1.10798i | −0.943820 | − | 0.0357411i | ||||
\(962\) | −29.4966 | + | 5.06204i | −0.951010 | + | 0.163207i | ||||
\(963\) | −0.254739 | + | 0.269628i | −0.00820884 | + | 0.00868865i | ||||
\(964\) | 54.4238 | − | 3.05302i | 1.75287 | − | 0.0983311i | ||||
\(965\) | 11.7868 | + | 40.3993i | 0.379432 | + | 1.30050i | ||||
\(966\) | 1.42554 | − | 6.15842i | 0.0458659 | − | 0.198144i | ||||
\(967\) | 30.5475 | + | 10.1818i | 0.982341 | + | 0.327424i | 0.761699 | − | 0.647931i | \(-0.224365\pi\) |
0.220642 | + | 0.975355i | \(0.429185\pi\) | |||||||
\(968\) | −6.58294 | − | 10.3464i | −0.211584 | − | 0.332546i | ||||
\(969\) | −11.5407 | − | 18.0943i | −0.370741 | − | 0.581272i | ||||
\(970\) | −39.0718 | − | 20.9623i | −1.25452 | − | 0.673060i | ||||
\(971\) | −0.375100 | + | 19.8177i | −0.0120375 | + | 0.635981i | 0.941886 | + | 0.335932i | \(0.109051\pi\) |
−0.953924 | + | 0.300049i | \(0.902997\pi\) | |||||||
\(972\) | −1.71232 | + | 3.18879i | −0.0549227 | + | 0.102280i | ||||
\(973\) | −23.2660 | − | 43.4040i | −0.745873 | − | 1.39147i | ||||
\(974\) | 0.251738 | − | 6.58349i | 0.00806621 | − | 0.210949i | ||||
\(975\) | 3.38955 | + | 9.01661i | 0.108553 | + | 0.288762i | ||||
\(976\) | 1.63113 | + | 0.724178i | 0.0522112 | + | 0.0231804i | ||||
\(977\) | 9.32580 | − | 19.1003i | 0.298359 | − | 0.611074i | −0.695892 | − | 0.718146i | \(-0.744991\pi\) |
0.994251 | + | 0.107072i | \(0.0341476\pi\) | |||||||
\(978\) | 32.5441 | + | 19.0802i | 1.04065 | + | 0.610118i | ||||
\(979\) | 4.78880 | − | 8.93378i | 0.153051 | − | 0.285525i | ||||
\(980\) | 14.1706 | − | 9.40499i | 0.452662 | − | 0.300431i | ||||
\(981\) | 1.47365 | − | 0.901140i | 0.0470502 | − | 0.0287712i | ||||
\(982\) | 1.21421 | − | 7.04405i | 0.0387469 | − | 0.224785i | ||||
\(983\) | −16.4743 | − | 11.4069i | −0.525450 | − | 0.363822i | 0.276689 | − | 0.960959i | \(-0.410763\pi\) |
−0.802139 | + | 0.597137i | \(0.796305\pi\) | |||||||
\(984\) | −7.17051 | − | 1.80906i | −0.228587 | − | 0.0576707i | ||||
\(985\) | −37.9693 | + | 22.2421i | −1.20980 | + | 0.708693i | ||||
\(986\) | 10.6256 | + | 11.6905i | 0.338388 | + | 0.372300i | ||||
\(987\) | 18.5281 | + | 41.8989i | 0.589755 | + | 1.33366i | ||||
\(988\) | 52.4432 | − | 33.3944i | 1.66844 | − | 1.06242i | ||||
\(989\) | −1.16247 | − | 6.75878i | −0.0369643 | − | 0.214917i | ||||
\(990\) | 0.953731 | − | 0.803098i | 0.0303116 | − | 0.0255241i | ||||
\(991\) | 8.06927 | + | 0.612022i | 0.256329 | + | 0.0194415i | 0.203166 | − | 0.979144i | \(-0.434877\pi\) |
0.0531630 | + | 0.998586i | \(0.483070\pi\) | |||||||
\(992\) | 0.966574 | + | 7.35700i | 0.0306888 | + | 0.233585i | ||||
\(993\) | 21.3188 | + | 6.21995i | 0.676532 | + | 0.197384i | ||||
\(994\) | 3.83310 | + | 9.14092i | 0.121578 | + | 0.289932i | ||||
\(995\) | −5.18113 | + | 54.5901i | −0.164253 | + | 1.73062i | ||||
\(996\) | 6.85226 | − | 25.1806i | 0.217122 | − | 0.797878i | ||||
\(997\) | 1.54516 | + | 0.357070i | 0.0489356 | + | 0.0113085i | 0.249553 | − | 0.968361i | \(-0.419716\pi\) |
−0.200617 | + | 0.979670i | \(0.564295\pi\) | |||||||
\(998\) | −7.68627 | + | 0.434021i | −0.243305 | + | 0.0137387i | ||||
\(999\) | 18.3416 | − | 13.7550i | 0.580302 | − | 0.435188i |
(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 | 668.2.h.a.15.9 | ✓ | 6724 | |
4.3 | odd | 2 | inner | 668.2.h.a.15.28 | yes | 6724 | |
167.78 | odd | 166 | inner | 668.2.h.a.579.28 | yes | 6724 | |
668.579 | even | 166 | inner | 668.2.h.a.579.9 | yes | 6724 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
668.2.h.a.15.9 | ✓ | 6724 | 1.1 | even | 1 | trivial | |
668.2.h.a.15.28 | yes | 6724 | 4.3 | odd | 2 | inner | |
668.2.h.a.579.9 | yes | 6724 | 668.579 | even | 166 | inner | |
668.2.h.a.579.28 | yes | 6724 | 167.78 | odd | 166 | inner |