Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [151,2,Mod(5,151)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(151, base_ring=CyclotomicField(150))
chi = DirichletCharacter(H, H._module([112]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("151.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 151 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 151.k (of order \(75\), degree \(40\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.20574107052\) |
Analytic rank: | \(0\) |
Dimension: | \(480\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{75})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{75}]$ |
Embedding invariants
Embedding label | 21.2 | ||
Character | \(\chi\) | \(=\) | 151.21 |
Dual form | 151.2.k.a.36.2 |
$q$-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 \(\left(\mathbb{Z}/151\mathbb{Z}\right)^\times\).
\(n\) | \(6\) |
\(\chi(n)\) | \(e\left(\frac{74}{75}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.26079 | − | 0.480545i | −1.59862 | − | 0.339796i | −0.679467 | − | 0.733706i | \(-0.737789\pi\) |
−0.919149 | + | 0.393909i | \(0.871122\pi\) | |||||||
\(3\) | 1.74341 | − | 0.447630i | 1.00656 | − | 0.258439i | 0.290795 | − | 0.956785i | \(-0.406080\pi\) |
0.715760 | + | 0.698346i | \(0.246080\pi\) | |||||||
\(4\) | 3.05314 | + | 1.35934i | 1.52657 | + | 0.679672i | ||||
\(5\) | 0.0484799 | − | 2.31441i | 0.0216809 | − | 1.03503i | −0.844576 | − | 0.535436i | \(-0.820147\pi\) |
0.866257 | − | 0.499599i | \(-0.166519\pi\) | |||||||
\(6\) | −4.15657 | + | 0.174212i | −1.69691 | + | 0.0711217i | ||||
\(7\) | 1.45864 | + | 0.507951i | 0.551312 | + | 0.191987i | 0.590201 | − | 0.807256i | \(-0.299048\pi\) |
−0.0388887 | + | 0.999244i | \(0.512382\pi\) | |||||||
\(8\) | −2.50951 | − | 1.82326i | −0.887245 | − | 0.644621i | ||||
\(9\) | 0.210168 | − | 0.115541i | 0.0700561 | − | 0.0385137i | ||||
\(10\) | −1.22178 | + | 5.20908i | −0.386360 | + | 1.64726i | ||||
\(11\) | 1.18858 | − | 1.21374i | 0.358371 | − | 0.365956i | −0.511459 | − | 0.859307i | \(-0.670895\pi\) |
0.869830 | + | 0.493351i | \(0.164228\pi\) | |||||||
\(12\) | 5.93134 | + | 1.00321i | 1.71223 | + | 0.289602i | ||||
\(13\) | 0.0277402 | + | 0.187856i | 0.00769374 | + | 0.0521019i | 0.992776 | − | 0.119981i | \(-0.0382835\pi\) |
−0.985082 | + | 0.172083i | \(0.944950\pi\) | |||||||
\(14\) | −3.05357 | − | 1.84931i | −0.816100 | − | 0.494248i | ||||
\(15\) | −0.951479 | − | 4.05665i | −0.245671 | − | 1.04742i | ||||
\(16\) | 0.324733 | + | 0.360653i | 0.0811833 | + | 0.0901632i | ||||
\(17\) | −1.41789 | − | 1.22389i | −0.343889 | − | 0.296837i | 0.464397 | − | 0.885627i | \(-0.346271\pi\) |
−0.808286 | + | 0.588790i | \(0.799604\pi\) | |||||||
\(18\) | −0.530668 | + | 0.160218i | −0.125080 | + | 0.0377638i | ||||
\(19\) | 4.34152 | − | 3.15430i | 0.996014 | − | 0.723646i | 0.0347840 | − | 0.999395i | \(-0.488926\pi\) |
0.961230 | + | 0.275748i | \(0.0889257\pi\) | |||||||
\(20\) | 3.29409 | − | 7.00030i | 0.736581 | − | 1.56531i | ||||
\(21\) | 2.77037 | + | 0.232634i | 0.604543 | + | 0.0507649i | ||||
\(22\) | −3.27038 | + | 2.17284i | −0.697248 | + | 0.463250i | ||||
\(23\) | −0.826045 | − | 7.85929i | −0.172242 | − | 1.63878i | −0.649750 | − | 0.760148i | \(-0.725126\pi\) |
0.477507 | − | 0.878628i | \(-0.341540\pi\) | |||||||
\(24\) | −5.19124 | − | 2.05536i | −1.05966 | − | 0.419548i | ||||
\(25\) | −0.358518 | − | 0.0150264i | −0.0717036 | − | 0.00300527i | ||||
\(26\) | 0.0275587 | − | 0.438033i | 0.00540470 | − | 0.0859053i | ||||
\(27\) | −3.62164 | + | 3.40095i | −0.696985 | + | 0.654513i | ||||
\(28\) | 3.76293 | + | 3.53363i | 0.711127 | + | 0.667793i | ||||
\(29\) | 0.318774 | + | 5.06676i | 0.0591948 | + | 0.940874i | 0.909794 | + | 0.415060i | \(0.136239\pi\) |
−0.850599 | + | 0.525814i | \(0.823761\pi\) | |||||||
\(30\) | 0.201687 | + | 9.62845i | 0.0368229 | + | 1.75791i | ||||
\(31\) | −4.23797 | + | 10.0817i | −0.761162 | + | 1.81073i | −0.206963 | + | 0.978349i | \(0.566358\pi\) |
−0.554199 | + | 0.832384i | \(0.686975\pi\) | |||||||
\(32\) | 2.54108 | + | 4.40128i | 0.449204 | + | 0.778044i | ||||
\(33\) | 1.52887 | − | 2.64808i | 0.266142 | − | 0.460972i | ||||
\(34\) | 2.61741 | + | 3.44831i | 0.448882 | + | 0.591380i | ||||
\(35\) | 1.24632 | − | 3.35125i | 0.210666 | − | 0.566465i | ||||
\(36\) | 0.798732 | − | 0.0670714i | 0.133122 | − | 0.0111786i | ||||
\(37\) | −1.12824 | + | 0.894231i | −0.185481 | + | 0.147011i | −0.709524 | − | 0.704681i | \(-0.751090\pi\) |
0.524043 | + | 0.851692i | \(0.324423\pi\) | |||||||
\(38\) | −11.3310 | + | 5.04490i | −1.83814 | + | 0.818391i | ||||
\(39\) | 0.132452 | + | 0.315092i | 0.0212094 | + | 0.0504551i | ||||
\(40\) | −4.34144 | + | 5.71963i | −0.686442 | + | 0.904354i | ||||
\(41\) | 4.55699 | + | 7.18066i | 0.711682 | + | 1.12143i | 0.987100 | + | 0.160106i | \(0.0511837\pi\) |
−0.275418 | + | 0.961325i | \(0.588816\pi\) | |||||||
\(42\) | −6.15141 | − | 1.85722i | −0.949183 | − | 0.286575i | ||||
\(43\) | 2.10569 | − | 0.733279i | 0.321115 | − | 0.111824i | −0.163521 | − | 0.986540i | \(-0.552285\pi\) |
0.484636 | + | 0.874716i | \(0.338952\pi\) | |||||||
\(44\) | 5.27879 | − | 2.09002i | 0.795807 | − | 0.315082i | ||||
\(45\) | −0.257220 | − | 0.492017i | −0.0383441 | − | 0.0733455i | ||||
\(46\) | −1.90923 | + | 18.1651i | −0.281501 | + | 2.67830i | ||||
\(47\) | −0.254973 | + | 0.487719i | −0.0371917 | + | 0.0711411i | −0.904085 | − | 0.427352i | \(-0.859446\pi\) |
0.866894 | + | 0.498493i | \(0.166113\pi\) | |||||||
\(48\) | 0.727581 | + | 0.483404i | 0.105017 | + | 0.0697733i | ||||
\(49\) | −3.61625 | − | 2.86621i | −0.516607 | − | 0.409458i | ||||
\(50\) | 0.803312 | + | 0.206255i | 0.113605 | + | 0.0291689i | ||||
\(51\) | −3.01980 | − | 1.49904i | −0.422857 | − | 0.209908i | ||||
\(52\) | −0.170666 | + | 0.611259i | −0.0236672 | + | 0.0847663i | ||||
\(53\) | −1.00359 | − | 1.21313i | −0.137853 | − | 0.166636i | 0.697069 | − | 0.717004i | \(-0.254487\pi\) |
−0.834922 | + | 0.550368i | \(0.814487\pi\) | |||||||
\(54\) | 9.82206 | − | 5.94845i | 1.33661 | − | 0.809482i | ||||
\(55\) | −2.75146 | − | 2.80970i | −0.371007 | − | 0.378860i | ||||
\(56\) | −2.73433 | − | 3.93418i | −0.365390 | − | 0.525728i | ||||
\(57\) | 6.15707 | − | 7.44262i | 0.815524 | − | 0.985800i | ||||
\(58\) | 1.71413 | − | 11.6080i | 0.225076 | − | 1.52421i | ||||
\(59\) | −2.75844 | + | 8.48961i | −0.359119 | + | 1.10525i | 0.594464 | + | 0.804122i | \(0.297364\pi\) |
−0.953583 | + | 0.301131i | \(0.902636\pi\) | |||||||
\(60\) | 2.60939 | − | 13.6789i | 0.336871 | − | 1.76594i | ||||
\(61\) | 2.27475 | + | 8.14725i | 0.291252 | + | 1.04315i | 0.955344 | + | 0.295497i | \(0.0954852\pi\) |
−0.664091 | + | 0.747651i | \(0.731181\pi\) | |||||||
\(62\) | 14.4259 | − | 20.7561i | 1.83209 | − | 2.63603i | ||||
\(63\) | 0.365248 | − | 0.0617771i | 0.0460169 | − | 0.00778318i | ||||
\(64\) | −3.92976 | − | 12.0946i | −0.491220 | − | 1.51182i | ||||
\(65\) | 0.436120 | − | 0.0550948i | 0.0540941 | − | 0.00683367i | ||||
\(66\) | −4.72897 | + | 5.25206i | −0.582096 | + | 0.646484i | ||||
\(67\) | −0.471146 | − | 0.259014i | −0.0575596 | − | 0.0316437i | 0.452714 | − | 0.891656i | \(-0.350456\pi\) |
−0.510274 | + | 0.860012i | \(0.670456\pi\) | |||||||
\(68\) | −2.66532 | − | 5.66410i | −0.323218 | − | 0.686873i | ||||
\(69\) | −4.95819 | − | 13.3322i | −0.596896 | − | 1.60500i | ||||
\(70\) | −4.42809 | + | 6.97755i | −0.529258 | + | 0.833976i | ||||
\(71\) | −10.0754 | + | 8.69683i | −1.19573 | + | 1.03212i | −0.197066 | + | 0.980390i | \(0.563141\pi\) |
−0.998661 | + | 0.0517331i | \(0.983525\pi\) | |||||||
\(72\) | −0.738081 | − | 0.0932413i | −0.0869837 | − | 0.0109886i | ||||
\(73\) | −1.41674 | − | 7.42681i | −0.165817 | − | 0.869242i | −0.963813 | − | 0.266580i | \(-0.914107\pi\) |
0.797996 | − | 0.602663i | \(-0.205893\pi\) | |||||||
\(74\) | 2.98042 | − | 1.47950i | 0.346467 | − | 0.171988i | ||||
\(75\) | −0.631769 | + | 0.134287i | −0.0729504 | + | 0.0155061i | ||||
\(76\) | 17.5430 | − | 3.72889i | 2.01232 | − | 0.427733i | ||||
\(77\) | 2.35023 | − | 1.16666i | 0.267833 | − | 0.132953i | ||||
\(78\) | −0.148031 | − | 0.776004i | −0.0167612 | − | 0.0878652i | ||||
\(79\) | 11.7193 | + | 1.48049i | 1.31852 | + | 0.166568i | 0.752920 | − | 0.658112i | \(-0.228645\pi\) |
0.565600 | + | 0.824680i | \(0.308645\pi\) | |||||||
\(80\) | 0.850441 | − | 0.734081i | 0.0950822 | − | 0.0820727i | ||||
\(81\) | −5.17715 | + | 8.15788i | −0.575239 | + | 0.906431i | ||||
\(82\) | −6.85174 | − | 18.4238i | −0.756648 | − | 2.03457i | ||||
\(83\) | 6.89105 | + | 14.6442i | 0.756391 | + | 1.60741i | 0.793849 | + | 0.608115i | \(0.208074\pi\) |
−0.0374575 | + | 0.999298i | \(0.511926\pi\) | |||||||
\(84\) | 8.14207 | + | 4.47614i | 0.888373 | + | 0.488387i | ||||
\(85\) | −2.90132 | + | 3.22224i | −0.314692 | + | 0.349501i | ||||
\(86\) | −5.11289 | + | 0.645908i | −0.551337 | + | 0.0696501i | ||||
\(87\) | 2.82379 | + | 8.69072i | 0.302742 | + | 0.931743i | ||||
\(88\) | −5.19572 | + | 0.878791i | −0.553866 | + | 0.0936794i | ||||
\(89\) | 2.98791 | − | 4.29904i | 0.316718 | − | 0.455698i | −0.630546 | − | 0.776152i | \(-0.717169\pi\) |
0.947264 | + | 0.320454i | \(0.103836\pi\) | |||||||
\(90\) | 0.345083 | + | 1.23595i | 0.0363750 | + | 0.130281i | ||||
\(91\) | −0.0549588 | + | 0.288104i | −0.00576125 | + | 0.0302015i | ||||
\(92\) | 8.16145 | − | 25.1184i | 0.850890 | − | 2.61877i | ||||
\(93\) | −2.87561 | + | 19.4736i | −0.298187 | + | 2.01932i | ||||
\(94\) | 0.810810 | − | 0.980101i | 0.0836287 | − | 0.101090i | ||||
\(95\) | −7.08986 | − | 10.2010i | −0.727405 | − | 1.04660i | ||||
\(96\) | 6.40028 | + | 6.53575i | 0.653226 | + | 0.667052i | ||||
\(97\) | 15.1875 | − | 9.19788i | 1.54206 | − | 0.933904i | 0.546735 | − | 0.837306i | \(-0.315871\pi\) |
0.995324 | − | 0.0965976i | \(-0.0307960\pi\) | |||||||
\(98\) | 6.79823 | + | 8.21764i | 0.686725 | + | 0.830107i | ||||
\(99\) | 0.109565 | − | 0.392419i | 0.0110117 | − | 0.0394396i | ||||
\(100\) | −1.07418 | − | 0.533227i | −0.107418 | − | 0.0533227i | ||||
\(101\) | −8.39501 | − | 2.15547i | −0.835334 | − | 0.214477i | −0.193287 | − | 0.981142i | \(-0.561915\pi\) |
−0.642048 | + | 0.766665i | \(0.721915\pi\) | |||||||
\(102\) | 6.10677 | + | 4.84017i | 0.604660 | + | 0.479248i | ||||
\(103\) | −9.08116 | − | 6.03351i | −0.894793 | − | 0.594499i | 0.0193850 | − | 0.999812i | \(-0.493829\pi\) |
−0.914178 | + | 0.405313i | \(0.867163\pi\) | |||||||
\(104\) | 0.272897 | − | 0.522004i | 0.0267598 | − | 0.0511867i | ||||
\(105\) | 0.672717 | − | 6.40048i | 0.0656505 | − | 0.624623i | ||||
\(106\) | 1.68593 | + | 3.22489i | 0.163752 | + | 0.313229i | ||||
\(107\) | −12.4542 | + | 4.93096i | −1.20399 | + | 0.476694i | −0.882542 | − | 0.470233i | \(-0.844170\pi\) |
−0.321449 | + | 0.946927i | \(0.604170\pi\) | |||||||
\(108\) | −15.6804 | + | 5.46050i | −1.50885 | + | 0.525437i | ||||
\(109\) | 3.66624 | + | 1.10690i | 0.351163 | + | 0.106022i | 0.459710 | − | 0.888069i | \(-0.347953\pi\) |
−0.108548 | + | 0.994091i | \(0.534620\pi\) | |||||||
\(110\) | 4.87028 | + | 7.67434i | 0.464363 | + | 0.731719i | ||||
\(111\) | −1.56669 | + | 2.06404i | −0.148704 | + | 0.195910i | ||||
\(112\) | 0.290474 | + | 0.691010i | 0.0274472 | + | 0.0652943i | ||||
\(113\) | 7.92619 | − | 3.52897i | 0.745634 | − | 0.331977i | 0.00149153 | − | 0.999999i | \(-0.499525\pi\) |
0.744142 | + | 0.668021i | \(0.232859\pi\) | |||||||
\(114\) | −17.4963 | + | 13.8674i | −1.63868 | + | 1.29880i | ||||
\(115\) | −18.2297 | + | 1.53079i | −1.69992 | + | 0.142747i | ||||
\(116\) | −5.91421 | + | 15.9028i | −0.549121 | + | 1.47654i | ||||
\(117\) | 0.0275352 | + | 0.0362763i | 0.00254563 | + | 0.00335374i | ||||
\(118\) | 10.3159 | − | 17.8676i | 0.949654 | − | 1.64485i | ||||
\(119\) | −1.44651 | − | 2.50542i | −0.132601 | − | 0.229672i | ||||
\(120\) | −5.00860 | + | 11.9150i | −0.457221 | + | 1.08769i | ||||
\(121\) | 0.169929 | + | 8.11233i | 0.0154481 | + | 0.737485i | ||||
\(122\) | −1.22761 | − | 19.5123i | −0.111143 | − | 1.76656i | ||||
\(123\) | 11.1590 | + | 10.4790i | 1.00617 | + | 0.944856i | ||||
\(124\) | −26.6436 | + | 25.0200i | −2.39267 | + | 2.24687i | ||||
\(125\) | 0.674616 | − | 10.7227i | 0.0603395 | − | 0.959068i | ||||
\(126\) | −0.855434 | − | 0.0358533i | −0.0762081 | − | 0.00319407i | ||||
\(127\) | −12.9843 | − | 5.14084i | −1.15217 | − | 0.456176i | −0.287135 | − | 0.957890i | \(-0.592703\pi\) |
−0.865033 | + | 0.501715i | \(0.832703\pi\) | |||||||
\(128\) | 2.00991 | + | 19.1230i | 0.177652 | + | 1.69025i | ||||
\(129\) | 3.34283 | − | 2.22097i | 0.294320 | − | 0.195546i | ||||
\(130\) | −1.01245 | − | 0.0850178i | −0.0887977 | − | 0.00745656i | ||||
\(131\) | 3.72095 | − | 7.90742i | 0.325101 | − | 0.690875i | −0.673742 | − | 0.738967i | \(-0.735314\pi\) |
0.998843 | + | 0.0480920i | \(0.0153141\pi\) | |||||||
\(132\) | 8.26751 | − | 6.00670i | 0.719594 | − | 0.522816i | ||||
\(133\) | 7.93493 | − | 2.39570i | 0.688046 | − | 0.207733i | ||||
\(134\) | 0.940691 | + | 0.811983i | 0.0812633 | + | 0.0701446i | ||||
\(135\) | 7.69560 | + | 8.54683i | 0.662332 | + | 0.735594i | ||||
\(136\) | 1.32673 | + | 5.65655i | 0.113766 | + | 0.485045i | ||||
\(137\) | 3.31748 | + | 2.00914i | 0.283432 | + | 0.171652i | 0.652584 | − | 0.757717i | \(-0.273685\pi\) |
−0.369152 | + | 0.929369i | \(0.620352\pi\) | |||||||
\(138\) | 4.80270 | + | 32.5238i | 0.408833 | + | 2.76861i | ||||
\(139\) | −5.58860 | − | 0.945240i | −0.474019 | − | 0.0801742i | −0.0751302 | − | 0.997174i | \(-0.523937\pi\) |
−0.398888 | + | 0.916999i | \(0.630604\pi\) | |||||||
\(140\) | 8.36068 | − | 8.53765i | 0.706607 | − | 0.721563i | ||||
\(141\) | −0.226204 | + | 0.964425i | −0.0190498 | + | 0.0812192i | ||||
\(142\) | 26.9575 | − | 14.8200i | 2.26222 | − | 1.24367i | ||||
\(143\) | 0.260980 | + | 0.189613i | 0.0218242 | + | 0.0158562i | ||||
\(144\) | 0.109919 | + | 0.0382778i | 0.00915991 | + | 0.00318982i | ||||
\(145\) | 11.7420 | − | 0.492136i | 0.975120 | − | 0.0408696i | ||||
\(146\) | −0.365970 | + | 17.4712i | −0.0302879 | + | 1.44593i | ||||
\(147\) | −7.58759 | − | 3.37821i | −0.625814 | − | 0.278630i | ||||
\(148\) | −4.66024 | + | 1.19654i | −0.383069 | + | 0.0983554i | ||||
\(149\) | −7.65835 | − | 1.62783i | −0.627396 | − | 0.133357i | −0.116769 | − | 0.993159i | \(-0.537254\pi\) |
−0.510628 | + | 0.859802i | \(0.670587\pi\) | |||||||
\(150\) | 1.49282 | 0.121889 | ||||||||
\(151\) | 0.437057 | − | 12.2804i | 0.0355672 | − | 0.999367i | ||||
\(152\) | −16.6462 | −1.35019 | ||||||||
\(153\) | −0.439405 | − | 0.0933983i | −0.0355238 | − | 0.00755081i | ||||
\(154\) | −5.87399 | + | 1.50818i | −0.473339 | + | 0.121533i | ||||
\(155\) | 23.1278 | + | 10.2972i | 1.85767 | + | 0.827087i | ||||
\(156\) | −0.0239229 | + | 1.14207i | −0.00191536 | + | 0.0914385i | ||||
\(157\) | −4.66525 | + | 0.195532i | −0.372328 | + | 0.0156052i | −0.227306 | − | 0.973823i | \(-0.572992\pi\) |
−0.145022 | + | 0.989428i | \(0.546325\pi\) | |||||||
\(158\) | −25.7833 | − | 8.97869i | −2.05121 | − | 0.714307i | ||||
\(159\) | −2.29269 | − | 1.66574i | −0.181822 | − | 0.132102i | ||||
\(160\) | 10.3096 | − | 5.66772i | 0.815042 | − | 0.448073i | ||||
\(161\) | 2.78723 | − | 11.8834i | 0.219665 | − | 0.936546i | ||||
\(162\) | 15.6246 | − | 15.9554i | 1.22759 | − | 1.25357i | ||||
\(163\) | −11.1076 | − | 1.87870i | −0.870011 | − | 0.147151i | −0.285344 | − | 0.958425i | \(-0.592108\pi\) |
−0.584667 | + | 0.811274i | \(0.698775\pi\) | |||||||
\(164\) | 4.15211 | + | 28.1180i | 0.324225 | + | 2.19565i | ||||
\(165\) | −6.05463 | − | 3.66681i | −0.471352 | − | 0.285461i | ||||
\(166\) | −8.54198 | − | 36.4189i | −0.662986 | − | 2.82666i | ||||
\(167\) | −10.3565 | − | 11.5021i | −0.801410 | − | 0.890056i | 0.194454 | − | 0.980912i | \(-0.437707\pi\) |
−0.995864 | + | 0.0908554i | \(0.971040\pi\) | |||||||
\(168\) | −6.52810 | − | 5.63491i | −0.503654 | − | 0.434743i | ||||
\(169\) | 12.4106 | − | 3.74699i | 0.954664 | − | 0.288230i | ||||
\(170\) | 8.10768 | − | 5.89058i | 0.621831 | − | 0.451787i | ||||
\(171\) | 0.548000 | − | 1.16456i | 0.0419066 | − | 0.0890560i | ||||
\(172\) | 7.42574 | + | 0.623557i | 0.566207 | + | 0.0475458i | ||||
\(173\) | 11.3798 | − | 7.56074i | 0.865192 | − | 0.574832i | −0.0403035 | − | 0.999187i | \(-0.512832\pi\) |
0.905496 | + | 0.424355i | \(0.139499\pi\) | |||||||
\(174\) | −2.20769 | − | 21.0048i | −0.167365 | − | 1.59237i | ||||
\(175\) | −0.515315 | − | 0.204027i | −0.0389541 | − | 0.0154230i | ||||
\(176\) | 0.823710 | + | 0.0345237i | 0.0620895 | + | 0.00260232i | ||||
\(177\) | −1.00887 | + | 16.0356i | −0.0758316 | + | 1.20531i | ||||
\(178\) | −8.82091 | + | 8.28339i | −0.661155 | + | 0.620866i | ||||
\(179\) | 7.53526 | + | 7.07608i | 0.563212 | + | 0.528891i | 0.913012 | − | 0.407933i | \(-0.133750\pi\) |
−0.349800 | + | 0.936824i | \(0.613750\pi\) | |||||||
\(180\) | −0.116508 | − | 1.85184i | −0.00868400 | − | 0.138028i | ||||
\(181\) | −0.0850994 | − | 4.06260i | −0.00632539 | − | 0.301971i | −0.991477 | − | 0.130283i | \(-0.958411\pi\) |
0.985151 | − | 0.171688i | \(-0.0549220\pi\) | |||||||
\(182\) | 0.262697 | − | 0.624931i | 0.0194724 | − | 0.0463230i | ||||
\(183\) | 7.61277 | + | 13.1857i | 0.562752 | + | 0.974716i | ||||
\(184\) | −12.2566 | + | 21.2291i | −0.903569 | + | 1.56503i | ||||
\(185\) | 2.01492 | + | 2.65456i | 0.148140 | + | 0.195167i | ||||
\(186\) | 15.8591 | − | 42.6437i | 1.16284 | − | 3.12679i | ||||
\(187\) | −3.17076 | + | 0.266256i | −0.231869 | + | 0.0194706i | ||||
\(188\) | −1.44145 | + | 1.14248i | −0.105128 | + | 0.0833236i | ||||
\(189\) | −7.01017 | + | 3.12113i | −0.509915 | + | 0.227029i | ||||
\(190\) | 11.1266 | + | 26.4692i | 0.807211 | + | 1.92028i | ||||
\(191\) | −11.6511 | + | 15.3498i | −0.843045 | + | 1.11067i | 0.149497 | + | 0.988762i | \(0.452235\pi\) |
−0.992541 | + | 0.121908i | \(0.961099\pi\) | |||||||
\(192\) | −12.2651 | − | 19.3266i | −0.885154 | − | 1.39478i | ||||
\(193\) | −2.07892 | − | 0.627662i | −0.149644 | − | 0.0451801i | 0.213326 | − | 0.976981i | \(-0.431570\pi\) |
−0.362969 | + | 0.931801i | \(0.618237\pi\) | |||||||
\(194\) | −38.7557 | + | 13.4962i | −2.78250 | + | 0.968968i | ||||
\(195\) | 0.735672 | − | 0.291273i | 0.0526826 | − | 0.0208585i | ||||
\(196\) | −7.14475 | − | 13.6666i | −0.510339 | − | 0.976189i | ||||
\(197\) | −1.97102 | + | 18.7530i | −0.140429 | + | 1.33609i | 0.666526 | + | 0.745482i | \(0.267781\pi\) |
−0.806955 | + | 0.590613i | \(0.798886\pi\) | |||||||
\(198\) | −0.436279 | + | 0.834525i | −0.0310050 | + | 0.0593071i | ||||
\(199\) | −1.37318 | − | 0.912339i | −0.0973422 | − | 0.0646740i | 0.503775 | − | 0.863835i | \(-0.331944\pi\) |
−0.601117 | + | 0.799161i | \(0.705277\pi\) | |||||||
\(200\) | 0.872307 | + | 0.691382i | 0.0616814 | + | 0.0488881i | ||||
\(201\) | −0.937340 | − | 0.240668i | −0.0661149 | − | 0.0169754i | ||||
\(202\) | 17.9435 | + | 8.90723i | 1.26250 | + | 0.626711i | ||||
\(203\) | −2.10869 | + | 7.55248i | −0.148001 | + | 0.530080i | ||||
\(204\) | −7.18216 | − | 8.68173i | −0.502851 | − | 0.607843i | ||||
\(205\) | 16.8399 | − | 10.1986i | 1.17615 | − | 0.712302i | ||||
\(206\) | 17.6312 | + | 18.0044i | 1.22842 | + | 1.25442i | ||||
\(207\) | −1.08168 | − | 1.55633i | −0.0751819 | − | 0.108173i | ||||
\(208\) | −0.0587427 | + | 0.0710077i | −0.00407307 | + | 0.00492350i | ||||
\(209\) | 1.33175 | − | 9.01862i | 0.0921193 | − | 0.623831i | ||||
\(210\) | −4.59659 | + | 14.1468i | −0.317195 | + | 0.976224i | ||||
\(211\) | 3.53881 | − | 18.5511i | 0.243622 | − | 1.27711i | −0.624604 | − | 0.780942i | \(-0.714739\pi\) |
0.868226 | − | 0.496169i | \(-0.165261\pi\) | |||||||
\(212\) | −1.41503 | − | 5.06807i | −0.0971847 | − | 0.348076i | ||||
\(213\) | −13.6725 | + | 19.6721i | −0.936824 | + | 1.34791i | ||||
\(214\) | 30.5258 | − | 5.16305i | 2.08670 | − | 0.352939i | ||||
\(215\) | −1.59502 | − | 4.90898i | −0.108780 | − | 0.334789i | ||||
\(216\) | 15.2894 | − | 1.93150i | 1.04031 | − | 0.131422i | ||||
\(217\) | −11.3027 | + | 12.5529i | −0.767276 | + | 0.852146i | ||||
\(218\) | −7.75667 | − | 4.26427i | −0.525348 | − | 0.288813i | ||||
\(219\) | −5.79441 | − | 12.3138i | −0.391550 | − | 0.832087i | ||||
\(220\) | −4.58124 | − | 12.3186i | −0.308867 | − | 0.830519i | ||||
\(221\) | 0.190582 | − | 0.300310i | 0.0128200 | − | 0.0202010i | ||||
\(222\) | 4.53382 | − | 3.91349i | 0.304290 | − | 0.262656i | ||||
\(223\) | −22.3989 | − | 2.82964i | −1.49994 | − | 0.189487i | −0.667921 | − | 0.744232i | \(-0.732816\pi\) |
−0.832020 | + | 0.554745i | \(0.812816\pi\) | |||||||
\(224\) | 1.47088 | + | 7.71061i | 0.0982771 | + | 0.515187i | ||||
\(225\) | −0.0770853 | + | 0.0382655i | −0.00513902 | + | 0.00255103i | ||||
\(226\) | −19.6152 | + | 4.16935i | −1.30479 | + | 0.277341i | ||||
\(227\) | 2.08517 | − | 0.443217i | 0.138398 | − | 0.0294174i | −0.138192 | − | 0.990405i | \(-0.544129\pi\) |
0.276590 | + | 0.960988i | \(0.410796\pi\) | |||||||
\(228\) | 28.9155 | − | 14.3538i | 1.91497 | − | 0.950601i | ||||
\(229\) | −0.0200747 | − | 0.105235i | −0.00132657 | − | 0.00695413i | 0.981618 | − | 0.190857i | \(-0.0611267\pi\) |
−0.982944 | + | 0.183903i | \(0.941127\pi\) | |||||||
\(230\) | 41.9489 | + | 5.29938i | 2.76603 | + | 0.349431i | ||||
\(231\) | 3.57516 | − | 3.08600i | 0.235228 | − | 0.203044i | ||||
\(232\) | 8.43808 | − | 13.2963i | 0.553987 | − | 0.872944i | ||||
\(233\) | −0.00502626 | − | 0.0135152i | −0.000329281 | − | 0.000885410i | 0.937117 | − | 0.349015i | \(-0.113484\pi\) |
−0.937447 | + | 0.348129i | \(0.886817\pi\) | |||||||
\(234\) | −0.0448188 | − | 0.0952447i | −0.00292990 | − | 0.00622634i | ||||
\(235\) | 1.11642 | + | 0.613756i | 0.0728271 | + | 0.0400371i | ||||
\(236\) | −19.9622 | + | 22.1703i | −1.29943 | + | 1.44316i | ||||
\(237\) | 21.0941 | − | 2.66481i | 1.37021 | − | 0.173098i | ||||
\(238\) | 2.06627 | + | 6.35934i | 0.133937 | + | 0.412215i | ||||
\(239\) | −2.73150 | + | 0.461998i | −0.176686 | + | 0.0298842i | −0.254441 | − | 0.967088i | \(-0.581891\pi\) |
0.0777551 | + | 0.996972i | \(0.475225\pi\) | |||||||
\(240\) | 1.15407 | − | 1.66048i | 0.0744946 | − | 0.107184i | ||||
\(241\) | 4.83209 | + | 17.3066i | 0.311262 | + | 1.11482i | 0.941111 | + | 0.338098i | \(0.109784\pi\) |
−0.629848 | + | 0.776718i | \(0.716883\pi\) | |||||||
\(242\) | 3.51417 | − | 18.4219i | 0.225899 | − | 1.18420i | ||||
\(243\) | −0.768404 | + | 2.36491i | −0.0492932 | + | 0.151709i | ||||
\(244\) | −4.12978 | + | 27.9668i | −0.264382 | + | 1.79039i | ||||
\(245\) | −6.80888 | + | 8.23053i | −0.435004 | + | 0.525829i | ||||
\(246\) | −20.1924 | − | 29.0530i | −1.28742 | − | 1.85235i | ||||
\(247\) | 0.712989 | + | 0.728081i | 0.0453664 | + | 0.0463267i | ||||
\(248\) | 29.0169 | − | 17.5733i | 1.84257 | − | 1.11590i | ||||
\(249\) | 18.5691 | + | 22.4462i | 1.17677 | + | 1.42247i | ||||
\(250\) | −6.67790 | + | 23.9176i | −0.422348 | + | 1.51268i | ||||
\(251\) | −12.1953 | − | 6.05379i | −0.769760 | − | 0.382112i | 0.0166150 | − | 0.999862i | \(-0.494711\pi\) |
−0.786375 | + | 0.617750i | \(0.788044\pi\) | |||||||
\(252\) | 1.19913 | + | 0.307884i | 0.0755380 | + | 0.0193949i | ||||
\(253\) | −10.5210 | − | 8.33880i | −0.661447 | − | 0.524256i | ||||
\(254\) | 26.8843 | + | 17.8619i | 1.68687 | + | 1.12075i | ||||
\(255\) | −3.61580 | + | 6.91638i | −0.226430 | + | 0.433121i | ||||
\(256\) | 1.98691 | − | 18.9042i | 0.124182 | − | 1.18151i | ||||
\(257\) | −12.2211 | − | 23.3769i | −0.762333 | − | 1.45821i | −0.884916 | − | 0.465751i | \(-0.845784\pi\) |
0.122582 | − | 0.992458i | \(-0.460882\pi\) | |||||||
\(258\) | −8.62471 | + | 3.41476i | −0.536951 | + | 0.212594i | ||||
\(259\) | −2.09991 | + | 0.731268i | −0.130482 | + | 0.0454388i | ||||
\(260\) | 1.40643 | + | 0.424626i | 0.0872229 | + | 0.0263342i | ||||
\(261\) | 0.652415 | + | 1.02804i | 0.0403835 | + | 0.0636341i | ||||
\(262\) | −12.2121 | + | 16.0889i | −0.754469 | + | 0.993976i | ||||
\(263\) | −3.02151 | − | 7.18789i | −0.186314 | − | 0.443224i | 0.801672 | − | 0.597764i | \(-0.203944\pi\) |
−0.987987 | + | 0.154540i | \(0.950611\pi\) | |||||||
\(264\) | −8.66487 | + | 3.85785i | −0.533286 | + | 0.237434i | ||||
\(265\) | −2.85633 | + | 2.26390i | −0.175463 | + | 0.139070i | ||||
\(266\) | −19.0904 | + | 1.60307i | −1.17051 | + | 0.0982903i | ||||
\(267\) | 3.28476 | − | 8.83245i | 0.201024 | − | 0.540537i | ||||
\(268\) | −1.08638 | − | 1.43125i | −0.0663613 | − | 0.0874278i | ||||
\(269\) | 8.43084 | − | 14.6026i | 0.514037 | − | 0.890338i | −0.485830 | − | 0.874053i | \(-0.661483\pi\) |
0.999867 | − | 0.0162852i | \(-0.00518398\pi\) | |||||||
\(270\) | −13.2910 | − | 23.0206i | −0.808863 | − | 1.40099i | ||||
\(271\) | −5.76742 | + | 13.7202i | −0.350346 | + | 0.833440i | 0.647126 | + | 0.762383i | \(0.275971\pi\) |
−0.997472 | + | 0.0710572i | \(0.977363\pi\) | |||||||
\(272\) | −0.0190367 | − | 0.908803i | −0.00115427 | − | 0.0551043i | ||||
\(273\) | 0.0331487 | + | 0.526883i | 0.00200625 | + | 0.0318884i | ||||
\(274\) | −6.53463 | − | 6.13643i | −0.394772 | − | 0.370715i | ||||
\(275\) | −0.444366 | + | 0.417287i | −0.0267963 | + | 0.0251634i | ||||
\(276\) | 2.98497 | − | 47.4448i | 0.179674 | − | 2.85584i | ||||
\(277\) | −14.9652 | − | 0.627228i | −0.899173 | − | 0.0376865i | −0.412190 | − | 0.911098i | \(-0.635236\pi\) |
−0.486983 | + | 0.873412i | \(0.661903\pi\) | |||||||
\(278\) | 12.1804 | + | 4.82256i | 0.730531 | + | 0.289238i | ||||
\(279\) | 0.274167 | + | 2.60852i | 0.0164139 | + | 0.156168i | ||||
\(280\) | −9.23787 | + | 6.13762i | −0.552068 | + | 0.366793i | ||||
\(281\) | 30.4554 | + | 2.55741i | 1.81681 | + | 0.152562i | 0.942805 | − | 0.333346i | \(-0.108178\pi\) |
0.874010 | + | 0.485908i | \(0.161511\pi\) | |||||||
\(282\) | 0.974848 | − | 2.07166i | 0.0580513 | − | 0.123365i | ||||
\(283\) | 25.2408 | − | 18.3385i | 1.50041 | − | 1.09011i | 0.530196 | − | 0.847875i | \(-0.322118\pi\) |
0.970217 | − | 0.242239i | \(-0.0778816\pi\) | |||||||
\(284\) | −42.5834 | + | 12.8567i | −2.52686 | + | 0.762905i | ||||
\(285\) | −16.9268 | − | 14.6108i | −1.00266 | − | 0.865469i | ||||
\(286\) | −0.498902 | − | 0.554086i | −0.0295007 | − | 0.0327638i | ||||
\(287\) | 2.99956 | + | 12.7887i | 0.177058 | + | 0.754893i | ||||
\(288\) | 1.04258 | + | 0.631411i | 0.0614348 | + | 0.0372062i | ||||
\(289\) | −1.97091 | − | 13.3470i | −0.115936 | − | 0.785115i | ||||
\(290\) | −26.7826 | − | 4.52994i | −1.57273 | − | 0.266007i | ||||
\(291\) | 22.3607 | − | 22.8340i | 1.31081 | − | 1.33855i | ||||
\(292\) | 5.77009 | − | 24.6009i | 0.337669 | − | 1.43966i | ||||
\(293\) | 15.0050 | − | 8.24909i | 0.876604 | − | 0.481917i | 0.0211384 | − | 0.999777i | \(-0.493271\pi\) |
0.855466 | + | 0.517859i | \(0.173271\pi\) | |||||||
\(294\) | 15.5305 | + | 11.2836i | 0.905759 | + | 0.658072i | ||||
\(295\) | 19.5147 | + | 6.79574i | 1.13619 | + | 0.395663i | ||||
\(296\) | 4.46175 | − | 0.187003i | 0.259334 | − | 0.0108693i | ||||
\(297\) | −0.176751 | + | 8.43803i | −0.0102562 | + | 0.489624i | ||||
\(298\) | 16.5316 | + | 7.36036i | 0.957652 | + | 0.426374i | ||||
\(299\) | 1.45350 | − | 0.373196i | 0.0840582 | − | 0.0215825i | ||||
\(300\) | −2.11142 | − | 0.448795i | −0.121903 | − | 0.0259112i | ||||
\(301\) | 3.44390 | 0.198503 | ||||||||
\(302\) | −6.88939 | + | 27.5534i | −0.396440 | + | 1.58552i | ||||
\(303\) | −15.6008 | −0.896240 | ||||||||
\(304\) | 2.54745 | + | 0.541476i | 0.146106 | + | 0.0310558i | ||||
\(305\) | 18.9663 | − | 4.86973i | 1.08601 | − | 0.278840i | ||||
\(306\) | 0.948517 | + | 0.422307i | 0.0542231 | + | 0.0241417i | ||||
\(307\) | −0.372397 | + | 17.7781i | −0.0212538 | + | 1.01465i | 0.850874 | + | 0.525370i | \(0.176073\pi\) |
−0.872128 | + | 0.489278i | \(0.837260\pi\) | |||||||
\(308\) | 8.76145 | − | 0.367214i | 0.499230 | − | 0.0209239i | ||||
\(309\) | −18.5329 | − | 6.45384i | −1.05430 | − | 0.367146i | ||||
\(310\) | −47.3387 | − | 34.3936i | −2.68866 | − | 1.95342i | ||||
\(311\) | 7.69893 | − | 4.23252i | 0.436566 | − | 0.240004i | −0.248285 | − | 0.968687i | \(-0.579867\pi\) |
0.684852 | + | 0.728683i | \(0.259867\pi\) | |||||||
\(312\) | 0.242105 | − | 1.03222i | 0.0137065 | − | 0.0584381i | ||||
\(313\) | 7.79277 | − | 7.95771i | 0.440473 | − | 0.449797i | −0.457917 | − | 0.888995i | \(-0.651404\pi\) |
0.898390 | + | 0.439199i | \(0.144738\pi\) | |||||||
\(314\) | 10.6411 | + | 1.79981i | 0.600512 | + | 0.101569i | ||||
\(315\) | −0.125270 | − | 0.848328i | −0.00705817 | − | 0.0477979i | ||||
\(316\) | 33.7680 | + | 20.4506i | 1.89960 | + | 1.15044i | ||||
\(317\) | −2.22322 | − | 9.47873i | −0.124868 | − | 0.532379i | −0.998916 | − | 0.0465394i | \(-0.985181\pi\) |
0.874048 | − | 0.485839i | \(-0.161486\pi\) | |||||||
\(318\) | 4.38283 | + | 4.86762i | 0.245777 | + | 0.272963i | ||||
\(319\) | 6.52861 | + | 5.63535i | 0.365532 | + | 0.315519i | ||||
\(320\) | −28.1823 | + | 8.50873i | −1.57544 | + | 0.475652i | ||||
\(321\) | −19.5054 | + | 14.1715i | −1.08869 | + | 0.790978i | ||||
\(322\) | −12.0119 | + | 25.5265i | −0.669395 | + | 1.42254i | ||||
\(323\) | −10.0163 | − | 0.841093i | −0.557322 | − | 0.0467997i | ||||
\(324\) | −26.8959 | + | 17.8696i | −1.49422 | + | 0.992755i | ||||
\(325\) | −0.00712256 | − | 0.0677666i | −0.000395089 | − | 0.00375902i | ||||
\(326\) | 24.2090 | + | 9.58502i | 1.34081 | + | 0.530865i | ||||
\(327\) | 6.88723 | + | 0.288661i | 0.380865 | + | 0.0159630i | ||||
\(328\) | 1.65645 | − | 26.3285i | 0.0914622 | − | 1.45375i | ||||
\(329\) | −0.619650 | + | 0.581890i | −0.0341624 | + | 0.0320806i | ||||
\(330\) | 11.9261 | + | 11.1994i | 0.656512 | + | 0.616506i | ||||
\(331\) | 0.454209 | + | 7.21945i | 0.0249656 | + | 0.396817i | 0.990589 | + | 0.136871i | \(0.0437046\pi\) |
−0.965623 | + | 0.259946i | \(0.916295\pi\) | |||||||
\(332\) | 1.13278 | + | 54.0781i | 0.0621691 | + | 2.96792i | ||||
\(333\) | −0.133800 | + | 0.318297i | −0.00733218 | + | 0.0174426i | ||||
\(334\) | 17.8866 | + | 30.9805i | 0.978710 | + | 1.69518i | ||||
\(335\) | −0.622306 | + | 1.07787i | −0.0340002 | + | 0.0588901i | ||||
\(336\) | 0.815730 | + | 1.07468i | 0.0445017 | + | 0.0586289i | ||||
\(337\) | 0.0918681 | − | 0.247026i | 0.00500437 | − | 0.0134564i | −0.934756 | − | 0.355291i | \(-0.884382\pi\) |
0.939760 | + | 0.341835i | \(0.111048\pi\) | |||||||
\(338\) | −29.8584 | + | 2.50728i | −1.62408 | + | 0.136378i | ||||
\(339\) | 12.2389 | − | 9.70043i | 0.664725 | − | 0.526855i | ||||
\(340\) | −13.2382 | + | 5.89404i | −0.717944 | + | 0.319649i | ||||
\(341\) | 7.19942 | + | 17.1267i | 0.389871 | + | 0.927465i | ||||
\(342\) | −1.79853 | + | 2.36948i | −0.0972535 | + | 0.128127i | ||||
\(343\) | −9.61217 | − | 15.1464i | −0.519009 | − | 0.817827i | ||||
\(344\) | −6.62121 | − | 1.99906i | −0.356992 | − | 0.107782i | ||||
\(345\) | −31.0964 | + | 10.8289i | −1.67418 | + | 0.583010i | ||||
\(346\) | −29.3606 | + | 11.6247i | −1.57844 | + | 0.624947i | ||||
\(347\) | 8.23136 | + | 15.7451i | 0.441882 | + | 0.845243i | 0.999881 | + | 0.0154014i | \(0.00490263\pi\) |
−0.557999 | + | 0.829842i | \(0.688431\pi\) | |||||||
\(348\) | −3.19227 | + | 30.3725i | −0.171124 | + | 1.62813i | ||||
\(349\) | −6.19889 | + | 11.8574i | −0.331819 | + | 0.634711i | −0.993341 | − | 0.115215i | \(-0.963244\pi\) |
0.661522 | + | 0.749926i | \(0.269911\pi\) | |||||||
\(350\) | 1.06697 | + | 0.708894i | 0.0570320 | + | 0.0378920i | ||||
\(351\) | −0.739354 | − | 0.586004i | −0.0394638 | − | 0.0312786i | ||||
\(352\) | 8.36229 | + | 2.14707i | 0.445711 | + | 0.114439i | ||||
\(353\) | 26.8033 | + | 13.3053i | 1.42660 | + | 0.708169i | 0.982231 | − | 0.187676i | \(-0.0600954\pi\) |
0.444367 | + | 0.895845i | \(0.353429\pi\) | |||||||
\(354\) | 9.98667 | − | 35.7682i | 0.530786 | − | 1.90106i | ||||
\(355\) | 19.6395 | + | 23.7401i | 1.04236 | + | 1.26000i | ||||
\(356\) | 14.9664 | − | 9.06396i | 0.793216 | − | 0.480389i | ||||
\(357\) | −3.64335 | − | 3.72047i | −0.192827 | − | 0.196908i | ||||
\(358\) | −13.6352 | − | 19.6185i | −0.720644 | − | 1.03687i | ||||
\(359\) | 13.2144 | − | 15.9734i | 0.697428 | − | 0.843046i | −0.296274 | − | 0.955103i | \(-0.595744\pi\) |
0.993702 | + | 0.112057i | \(0.0357441\pi\) | |||||||
\(360\) | −0.251581 | + | 1.70370i | −0.0132595 | + | 0.0897929i | ||||
\(361\) | 3.02789 | − | 9.31888i | 0.159362 | − | 0.490467i | ||||
\(362\) | −1.75987 | + | 9.22557i | −0.0924968 | + | 0.484885i | ||||
\(363\) | 3.92758 | + | 14.0670i | 0.206145 | + | 0.738327i | ||||
\(364\) | −0.559429 | + | 0.804913i | −0.0293221 | + | 0.0421889i | ||||
\(365\) | −17.2573 | + | 2.91886i | −0.903291 | + | 0.152780i | ||||
\(366\) | −10.8745 | − | 33.4683i | −0.568420 | − | 1.74942i | ||||
\(367\) | −7.36874 | + | 0.930889i | −0.384645 | + | 0.0485920i | −0.315278 | − | 0.948999i | \(-0.602098\pi\) |
−0.0693668 | + | 0.997591i | \(0.522098\pi\) | |||||||
\(368\) | 2.56623 | − | 2.85009i | 0.133774 | − | 0.148571i | ||||
\(369\) | 1.78740 | + | 0.982629i | 0.0930481 | + | 0.0511536i | ||||
\(370\) | −3.27967 | − | 6.96964i | −0.170502 | − | 0.362335i | ||||
\(371\) | −0.847659 | − | 2.27929i | −0.0440083 | − | 0.118335i | ||||
\(372\) | −35.2509 | + | 55.5466i | −1.82768 | + | 2.87996i | ||||
\(373\) | −18.5024 | + | 15.9709i | −0.958018 | + | 0.826939i | −0.984975 | − | 0.172697i | \(-0.944752\pi\) |
0.0269565 | + | 0.999637i | \(0.491418\pi\) | |||||||
\(374\) | 7.29635 | + | 0.921743i | 0.377285 | + | 0.0476622i | ||||
\(375\) | −3.62368 | − | 18.9960i | −0.187126 | − | 0.980949i | ||||
\(376\) | 1.52910 | − | 0.759051i | 0.0788572 | − | 0.0391451i | ||||
\(377\) | −0.942979 | + | 0.200436i | −0.0485659 | + | 0.0103230i | ||||
\(378\) | 17.3483 | − | 3.68750i | 0.892301 | − | 0.189665i | ||||
\(379\) | −7.52743 | + | 3.73665i | −0.386658 | + | 0.191939i | −0.627484 | − | 0.778630i | \(-0.715915\pi\) |
0.240826 | + | 0.970568i | \(0.422582\pi\) | |||||||
\(380\) | −7.77968 | − | 40.7825i | −0.399089 | − | 2.09210i | ||||
\(381\) | −24.9380 | − | 3.15041i | −1.27761 | − | 0.161400i | ||||
\(382\) | 33.7169 | − | 29.1037i | 1.72511 | − | 1.48907i | ||||
\(383\) | 7.52686 | − | 11.8604i | 0.384605 | − | 0.606040i | −0.595777 | − | 0.803150i | \(-0.703156\pi\) |
0.980381 | + | 0.197110i | \(0.0631557\pi\) | |||||||
\(384\) | 12.0641 | + | 32.4394i | 0.615644 | + | 1.65542i | ||||
\(385\) | −2.58619 | − | 5.49594i | −0.131805 | − | 0.280099i | ||||
\(386\) | 4.39836 | + | 2.41802i | 0.223871 | + | 0.123074i | ||||
\(387\) | 0.357826 | − | 0.397406i | 0.0181893 | − | 0.0202013i | ||||
\(388\) | 58.8726 | − | 7.43734i | 2.98880 | − | 0.377574i | ||||
\(389\) | −2.19848 | − | 6.76623i | −0.111467 | − | 0.343061i | 0.879726 | − | 0.475480i | \(-0.157726\pi\) |
−0.991194 | + | 0.132419i | \(0.957726\pi\) | |||||||
\(390\) | −1.80317 | + | 0.304983i | −0.0913069 | + | 0.0154434i | ||||
\(391\) | −8.44766 | + | 12.1546i | −0.427217 | + | 0.614684i | ||||
\(392\) | 3.84916 | + | 13.7862i | 0.194412 | + | 0.696306i | ||||
\(393\) | 2.94752 | − | 15.4515i | 0.148683 | − | 0.779423i | ||||
\(394\) | 13.4677 | − | 41.4493i | 0.678493 | − | 2.08819i | ||||
\(395\) | 3.99460 | − | 27.0514i | 0.200990 | − | 1.36110i | ||||
\(396\) | 0.867951 | − | 1.04917i | 0.0436162 | − | 0.0527229i | ||||
\(397\) | 9.08211 | + | 13.0674i | 0.455818 | + | 0.655836i | 0.980741 | − | 0.195314i | \(-0.0625724\pi\) |
−0.524923 | + | 0.851150i | \(0.675906\pi\) | |||||||
\(398\) | 2.66605 | + | 2.72248i | 0.133637 | + | 0.136466i | ||||
\(399\) | 12.7614 | − | 7.72858i | 0.638870 | − | 0.386913i | ||||
\(400\) | −0.111003 | − | 0.134180i | −0.00555017 | − | 0.00670901i | ||||
\(401\) | 5.49388 | − | 19.6769i | 0.274351 | − | 0.982615i | −0.691256 | − | 0.722610i | \(-0.742942\pi\) |
0.965607 | − | 0.260006i | \(-0.0837244\pi\) | |||||||
\(402\) | 2.00347 | + | 0.994533i | 0.0999242 | + | 0.0496028i | ||||
\(403\) | −2.01148 | − | 0.516460i | −0.100199 | − | 0.0257267i | ||||
\(404\) | −22.7011 | − | 17.9926i | −1.12942 | − | 0.895168i | ||||
\(405\) | 18.6297 | + | 12.3775i | 0.925716 | + | 0.615044i | ||||
\(406\) | 8.39660 | − | 16.0612i | 0.416716 | − | 0.797104i | ||||
\(407\) | −0.255640 | + | 2.43225i | −0.0126716 | + | 0.120562i | ||||
\(408\) | 4.84507 | + | 9.26777i | 0.239867 | + | 0.458823i | ||||
\(409\) | −25.7782 | + | 10.2063i | −1.27465 | + | 0.504670i | −0.905361 | − | 0.424644i | \(-0.860399\pi\) |
−0.369291 | + | 0.929314i | \(0.620399\pi\) | |||||||
\(410\) | −42.9723 | + | 14.9645i | −2.12225 | + | 0.739046i | ||||
\(411\) | 6.68306 | + | 2.01774i | 0.329651 | + | 0.0995276i | ||||
\(412\) | −19.5244 | − | 30.7655i | −0.961898 | − | 1.51571i | ||||
\(413\) | −8.33587 | + | 10.9821i | −0.410181 | + | 0.540394i | ||||
\(414\) | 1.69756 | + | 4.03833i | 0.0834304 | + | 0.198473i | ||||
\(415\) | 34.2268 | − | 15.2388i | 1.68013 | − | 0.748041i | ||||
\(416\) | −0.756317 | + | 0.599450i | −0.0370815 | + | 0.0293904i | ||||
\(417\) | −10.1663 | + | 0.853689i | −0.497846 | + | 0.0418053i | ||||
\(418\) | −7.34466 | + | 19.7492i | −0.359239 | + | 0.965965i | ||||
\(419\) | −9.60124 | − | 12.6492i | −0.469051 | − | 0.617952i | 0.499636 | − | 0.866235i | \(-0.333467\pi\) |
−0.968688 | + | 0.248283i | \(0.920134\pi\) | |||||||
\(420\) | 10.7543 | − | 18.6271i | 0.524758 | − | 0.908908i | ||||
\(421\) | −4.78872 | − | 8.29431i | −0.233388 | − | 0.404240i | 0.725415 | − | 0.688312i | \(-0.241648\pi\) |
−0.958803 | + | 0.284072i | \(0.908315\pi\) | |||||||
\(422\) | −16.9151 | + | 40.2395i | −0.823416 | + | 1.95883i | ||||
\(423\) | 0.00276423 | + | 0.131963i | 0.000134401 | + | 0.00641626i | ||||
\(424\) | 0.306656 | + | 4.87417i | 0.0148926 | + | 0.236710i | ||||
\(425\) | 0.489948 | + | 0.460092i | 0.0237660 | + | 0.0223177i | ||||
\(426\) | 40.3639 | − | 37.9042i | 1.95564 | − | 1.83647i | ||||
\(427\) | −0.820365 | + | 13.0393i | −0.0397002 | + | 0.631017i | ||||
\(428\) | −44.7272 | − | 1.87462i | −2.16197 | − | 0.0906134i | ||||
\(429\) | 0.539870 | + | 0.213750i | 0.0260652 | + | 0.0103199i | ||||
\(430\) | 1.24702 | + | 11.8646i | 0.0601367 | + | 0.572163i | ||||
\(431\) | 2.81360 | − | 1.86935i | 0.135526 | − | 0.0900433i | −0.483794 | − | 0.875182i | \(-0.660742\pi\) |
0.619320 | + | 0.785139i | \(0.287408\pi\) | |||||||
\(432\) | −2.40263 | − | 0.201754i | −0.115597 | − | 0.00970691i | ||||
\(433\) | −7.65211 | + | 16.2616i | −0.367737 | + | 0.781481i | 0.632240 | + | 0.774772i | \(0.282136\pi\) |
−0.999977 | + | 0.00670888i | \(0.997864\pi\) | |||||||
\(434\) | 31.5851 | − | 22.9480i | 1.51614 | − | 1.10154i | ||||
\(435\) | 20.2508 | − | 6.11407i | 0.970950 | − | 0.293147i | ||||
\(436\) | 9.68888 | + | 8.36321i | 0.464013 | + | 0.400525i | ||||
\(437\) | −28.3769 | − | 31.5157i | −1.35745 | − | 1.50760i | ||||
\(438\) | 7.18262 | + | 30.6232i | 0.343199 | + | 1.46323i | ||||
\(439\) | 22.6588 | + | 13.7227i | 1.08145 | + | 0.654948i | 0.942112 | − | 0.335298i | \(-0.108837\pi\) |
0.139335 | + | 0.990245i | \(0.455504\pi\) | |||||||
\(440\) | 1.78199 | + | 12.0676i | 0.0849531 | + | 0.575301i | ||||
\(441\) | −1.09119 | − | 0.184560i | −0.0519612 | − | 0.00878858i | ||||
\(442\) | −0.575178 | + | 0.587353i | −0.0273584 | + | 0.0279375i | ||||
\(443\) | −7.59271 | + | 32.3717i | −0.360740 | + | 1.53802i | 0.416686 | + | 0.909050i | \(0.363191\pi\) |
−0.777426 | + | 0.628974i | \(0.783475\pi\) | |||||||
\(444\) | −7.58907 | + | 4.17213i | −0.360161 | + | 0.198000i | ||||
\(445\) | −9.80488 | − | 7.12366i | −0.464796 | − | 0.337694i | ||||
\(446\) | 49.2793 | + | 17.1609i | 2.33344 | + | 0.812591i | ||||
\(447\) | −14.0803 | + | 0.590138i | −0.665974 | + | 0.0279126i | ||||
\(448\) | 0.411351 | − | 19.6377i | 0.0194345 | − | 0.927793i | ||||
\(449\) | 14.3813 | + | 6.40298i | 0.678696 | + | 0.302175i | 0.716982 | − | 0.697092i | \(-0.245523\pi\) |
−0.0382856 | + | 0.999267i | \(0.512190\pi\) | |||||||
\(450\) | 0.192662 | − | 0.0494671i | 0.00908216 | − | 0.00233190i | ||||
\(451\) | 14.1318 | + | 3.00381i | 0.665440 | + | 0.141444i | ||||
\(452\) | 28.9968 | 1.36390 | ||||||||
\(453\) | −4.73513 | − | 21.6054i | −0.222476 | − | 1.01511i | ||||
\(454\) | −4.92711 | −0.231241 | ||||||||
\(455\) | 0.664126 | + | 0.141164i | 0.0311347 | + | 0.00661789i | ||||
\(456\) | −29.0211 | + | 7.45135i | −1.35904 | + | 0.348942i | ||||
\(457\) | 31.5686 | + | 14.0553i | 1.47672 | + | 0.657477i | 0.977870 | − | 0.209212i | \(-0.0670899\pi\) |
0.498848 | + | 0.866689i | \(0.333757\pi\) | |||||||
\(458\) | −0.00518565 | + | 0.247561i | −0.000242310 | + | 0.0115677i | ||||
\(459\) | 9.29746 | − | 0.389679i | 0.433968 | − | 0.0181887i | ||||
\(460\) | −57.7385 | − | 20.1067i | −2.69207 | − | 0.937478i | ||||
\(461\) | −29.4186 | − | 21.3739i | −1.37016 | − | 0.995480i | −0.997725 | − | 0.0674224i | \(-0.978522\pi\) |
−0.372436 | − | 0.928058i | \(-0.621478\pi\) | |||||||
\(462\) | −9.56563 | + | 5.25875i | −0.445033 | + | 0.244659i | ||||
\(463\) | 3.49735 | − | 14.9110i | 0.162536 | − | 0.692975i | −0.828569 | − | 0.559888i | \(-0.810844\pi\) |
0.991104 | − | 0.133087i | \(-0.0424890\pi\) | |||||||
\(464\) | −1.72383 | + | 1.76031i | −0.0800266 | + | 0.0817205i | ||||
\(465\) | 44.9304 | + | 7.59941i | 2.08360 | + | 0.352414i | ||||
\(466\) | 0.00486863 | + | 0.0329703i | 0.000225535 | + | 0.00152732i | ||||
\(467\) | −16.9931 | − | 10.2914i | −0.786346 | − | 0.476228i | 0.0668853 | − | 0.997761i | \(-0.478694\pi\) |
−0.853231 | + | 0.521533i | \(0.825361\pi\) | |||||||
\(468\) | 0.0347567 | + | 0.148186i | 0.00160663 | + | 0.00684991i | ||||
\(469\) | −0.555663 | − | 0.617126i | −0.0256581 | − | 0.0284962i | ||||
\(470\) | −2.22905 | − | 1.92406i | −0.102818 | − | 0.0887503i | ||||
\(471\) | −8.04590 | + | 2.42920i | −0.370736 | + | 0.111932i | ||||
\(472\) | 22.4011 | − | 16.2754i | 1.03110 | − | 0.749135i | ||||
\(473\) | 1.61277 | − | 3.42732i | 0.0741555 | − | 0.157588i | ||||
\(474\) | −48.9699 | − | 4.11211i | −2.24926 | − | 0.188876i | ||||
\(475\) | −1.60391 | + | 1.06564i | −0.0735926 | + | 0.0488948i | ||||
\(476\) | −1.01065 | − | 9.61570i | −0.0463231 | − | 0.440735i | ||||
\(477\) | −0.351089 | − | 0.139006i | −0.0160752 | − | 0.00636464i | ||||
\(478\) | 6.39734 | + | 0.268128i | 0.292607 | + | 0.0122639i | ||||
\(479\) | 0.237388 | − | 3.77317i | 0.0108465 | − | 0.172401i | −0.988874 | − | 0.148756i | \(-0.952473\pi\) |
0.999720 | − | 0.0236444i | \(-0.00752695\pi\) | |||||||
\(480\) | 15.4367 | − | 14.4960i | 0.704585 | − | 0.661649i | ||||
\(481\) | −0.199284 | − | 0.187140i | −0.00908658 | − | 0.00853287i | ||||
\(482\) | −2.60772 | − | 41.4486i | −0.118778 | − | 1.88793i | ||||
\(483\) | −0.460107 | − | 21.9653i | −0.0209356 | − | 0.999455i | ||||
\(484\) | −10.5086 | + | 24.9990i | −0.477665 | + | 1.13632i | ||||
\(485\) | −20.5514 | − | 35.5960i | −0.933189 | − | 1.61633i | ||||
\(486\) | 2.87364 | − | 4.97729i | 0.130351 | − | 0.225775i | ||||
\(487\) | 14.1145 | + | 18.5952i | 0.639589 | + | 0.842628i | 0.995779 | − | 0.0917860i | \(-0.0292576\pi\) |
−0.356190 | + | 0.934414i | \(0.615924\pi\) | |||||||
\(488\) | 9.14608 | − | 24.5931i | 0.414024 | − | 1.11328i | ||||
\(489\) | −20.2059 | + | 1.69674i | −0.913744 | + | 0.0767292i | ||||
\(490\) | 19.3486 | − | 15.3355i | 0.874079 | − | 0.692786i | ||||
\(491\) | −5.33285 | + | 2.37434i | −0.240668 | + | 0.107152i | −0.523527 | − | 0.852009i | \(-0.675384\pi\) |
0.282859 | + | 0.959162i | \(0.408717\pi\) | |||||||
\(492\) | 19.8253 | + | 47.1625i | 0.893794 | + | 2.12625i | ||||
\(493\) | 5.74916 | − | 7.57424i | 0.258929 | − | 0.341127i | ||||
\(494\) | −1.26204 | − | 1.98866i | −0.0567819 | − | 0.0894739i | ||||
\(495\) | −0.902907 | − | 0.272604i | −0.0405826 | − | 0.0122526i | ||||
\(496\) | −5.01222 | + | 1.74544i | −0.225055 | + | 0.0783725i | ||||
\(497\) | −19.1138 | + | 7.56771i | −0.857373 | + | 0.339458i | ||||
\(498\) | −31.1943 | − | 59.6693i | −1.39785 | − | 2.67384i | ||||
\(499\) | 2.88463 | − | 27.4454i | 0.129134 | − | 1.22862i | −0.717542 | − | 0.696515i | \(-0.754733\pi\) |
0.846676 | − | 0.532109i | \(-0.178600\pi\) | |||||||
\(500\) | 16.6355 | − | 31.8208i | 0.743964 | − | 1.42307i | ||||
\(501\) | −23.2043 | − | 15.4169i | −1.03669 | − | 0.688775i | ||||
\(502\) | 24.6618 | + | 19.5467i | 1.10071 | + | 0.872412i | ||||
\(503\) | 18.9323 | + | 4.86100i | 0.844151 | + | 0.216741i | 0.645911 | − | 0.763413i | \(-0.276478\pi\) |
0.198240 | + | 0.980154i | \(0.436478\pi\) | |||||||
\(504\) | −1.02923 | − | 0.510914i | −0.0458455 | − | 0.0227579i | ||||
\(505\) | −5.39563 | + | 19.3250i | −0.240102 | + | 0.859950i | ||||
\(506\) | 19.7784 | + | 23.9080i | 0.879259 | + | 1.06284i | ||||
\(507\) | 19.9595 | − | 12.0879i | 0.886432 | − | 0.536842i | ||||
\(508\) | −32.6546 | − | 33.3458i | −1.44881 | − | 1.47948i | ||||
\(509\) | 1.27331 | + | 1.83205i | 0.0564383 | + | 0.0812040i | 0.848364 | − | 0.529413i | \(-0.177588\pi\) |
−0.791926 | + | 0.610618i | \(0.790921\pi\) | |||||||
\(510\) | 11.4982 | − | 13.8989i | 0.509148 | − | 0.615454i | ||||
\(511\) | 1.70595 | − | 11.5526i | 0.0754666 | − | 0.511059i | ||||
\(512\) | −1.69254 | + | 5.20910i | −0.0748004 | + | 0.230212i | ||||
\(513\) | −4.99583 | + | 26.1890i | −0.220571 | + | 1.15627i | ||||
\(514\) | 16.3957 | + | 58.7229i | 0.723184 | + | 2.59016i | ||||
\(515\) | −14.4042 | + | 20.7250i | −0.634727 | + | 0.913252i | ||||
\(516\) | 13.2252 | − | 2.23687i | 0.582207 | − | 0.0984729i | ||||
\(517\) | 0.288907 | + | 0.889164i | 0.0127061 | + | 0.0391054i | ||||
\(518\) | 5.09886 | − | 0.644136i | 0.224031 | − | 0.0283017i | ||||
\(519\) | 16.4552 | − | 18.2754i | 0.722305 | − | 0.802201i | ||||
\(520\) | −1.19490 | − | 0.656902i | −0.0523999 | − | 0.0288071i | ||||
\(521\) | −8.83842 | − | 18.7826i | −0.387218 | − | 0.822881i | −0.999481 | − | 0.0322262i | \(-0.989740\pi\) |
0.612262 | − | 0.790655i | \(-0.290260\pi\) | |||||||
\(522\) | −0.980950 | − | 2.63769i | −0.0429350 | − | 0.115449i | ||||
\(523\) | −4.48198 | + | 7.06247i | −0.195983 | + | 0.308820i | −0.928080 | − | 0.372380i | \(-0.878542\pi\) |
0.732097 | + | 0.681200i | \(0.238542\pi\) | |||||||
\(524\) | 22.1095 | − | 19.0844i | 0.965857 | − | 0.833705i | ||||
\(525\) | −0.989731 | − | 0.125032i | −0.0431954 | − | 0.00545685i | ||||
\(526\) | 3.37688 | + | 17.7022i | 0.147239 | + | 0.771855i | ||||
\(527\) | 18.3479 | − | 9.10797i | 0.799247 | − | 0.396749i | ||||
\(528\) | 1.45151 | − | 0.308529i | 0.0631691 | − | 0.0134270i | ||||
\(529\) | −38.5887 | + | 8.20229i | −1.67777 | + | 0.356621i | ||||
\(530\) | 7.54545 | − | 3.74559i | 0.327753 | − | 0.162698i | ||||
\(531\) | 0.401161 | + | 2.10296i | 0.0174089 | + | 0.0912607i | ||||
\(532\) | 27.4830 | + | 3.47191i | 1.19154 | + | 0.150526i | ||||
\(533\) | −1.22252 | + | 1.05525i | −0.0529532 | + | 0.0457080i | ||||
\(534\) | −11.6705 | + | 18.3898i | −0.505033 | + | 0.795805i | ||||
\(535\) | 10.8085 | + | 29.0631i | 0.467291 | + | 1.25651i | ||||
\(536\) | 0.710092 | + | 1.50902i | 0.0306713 | + | 0.0651798i | ||||
\(537\) | 16.3045 | + | 8.96346i | 0.703590 | + | 0.386802i | ||||
\(538\) | −26.0775 | + | 28.9620i | −1.12428 | + | 1.24864i | ||||
\(539\) | −7.77703 | + | 0.982468i | −0.334980 | + | 0.0423179i | ||||
\(540\) | 11.8776 | + | 36.5556i | 0.511132 | + | 1.57310i | ||||
\(541\) | −1.63834 | + | 0.277104i | −0.0704377 | + | 0.0119136i | −0.201881 | − | 0.979410i | \(-0.564705\pi\) |
0.131443 | + | 0.991324i | \(0.458039\pi\) | |||||||
\(542\) | 19.6320 | − | 28.2468i | 0.843269 | − | 1.21330i | ||||
\(543\) | −1.96691 | − | 7.04467i | −0.0844081 | − | 0.302316i | ||||
\(544\) | 1.78371 | − | 9.35053i | 0.0764759 | − | 0.400901i | ||||
\(545\) | 2.73957 | − | 8.43152i | 0.117350 | − | 0.361167i | ||||
\(546\) | 0.178249 | − | 1.20710i | 0.00762835 | − | 0.0516591i | ||||
\(547\) | −22.6163 | + | 27.3384i | −0.967002 | + | 1.16891i | 0.0186003 | + | 0.999827i | \(0.494079\pi\) |
−0.985603 | + | 0.169078i | \(0.945921\pi\) | |||||||
\(548\) | 7.39761 | + | 10.6438i | 0.316010 | + | 0.454679i | ||||
\(549\) | 1.41942 | + | 1.44947i | 0.0605795 | + | 0.0618617i | ||||
\(550\) | 1.20514 | − | 0.729859i | 0.0513874 | − | 0.0311213i | ||||
\(551\) | 17.3661 | + | 20.9920i | 0.739819 | + | 0.894287i | ||||
\(552\) | −11.8655 | + | 42.4973i | −0.505027 | + | 1.80880i | ||||
\(553\) | 16.3421 | + | 8.11230i | 0.694937 | + | 0.344970i | ||||
\(554\) | 33.5317 | + | 8.60948i | 1.42463 | + | 0.365782i | ||||
\(555\) | 4.70108 | + | 3.72603i | 0.199550 | + | 0.158161i | ||||
\(556\) | −15.7778 | − | 10.4828i | −0.669129 | − | 0.444569i | ||||
\(557\) | −0.639389 | + | 1.22304i | −0.0270918 | + | 0.0518218i | −0.899371 | − | 0.437187i | \(-0.855975\pi\) |
0.872279 | + | 0.489009i | \(0.162641\pi\) | |||||||
\(558\) | 0.633679 | − | 6.02905i | 0.0268258 | − | 0.255230i | ||||
\(559\) | 0.196163 | + | 0.375226i | 0.00829682 | + | 0.0158704i | ||||
\(560\) | 1.61336 | − | 0.638774i | 0.0681769 | − | 0.0269931i | ||||
\(561\) | −5.40873 | + | 1.88352i | −0.228357 | + | 0.0795222i | ||||
\(562\) | −67.6241 | − | 20.4169i | −2.85255 | − | 0.861235i | ||||
\(563\) | −18.5891 | − | 29.2917i | −0.783437 | − | 1.23450i | −0.967820 | − | 0.251645i | \(-0.919029\pi\) |
0.184383 | − | 0.982855i | \(-0.440971\pi\) | |||||||
\(564\) | −2.00162 | + | 2.63703i | −0.0842832 | + | 0.111039i | ||||
\(565\) | −7.78321 | − | 18.5155i | −0.327442 | − | 0.778954i | ||||
\(566\) | −65.8766 | + | 29.3302i | −2.76900 | + | 1.23284i | ||||
\(567\) | −11.6954 | + | 9.26964i | −0.491159 | + | 0.389288i | ||||
\(568\) | 41.1409 | − | 3.45469i | 1.72623 | − | 0.144956i | ||||
\(569\) | 0.671576 | − | 1.80581i | 0.0281539 | − | 0.0757036i | −0.922440 | − | 0.386139i | \(-0.873808\pi\) |
0.950594 | + | 0.310436i | \(0.100475\pi\) | |||||||
\(570\) | 31.2467 | + | 41.1659i | 1.30878 | + | 1.72425i | ||||
\(571\) | −1.02414 | + | 1.77386i | −0.0428590 | + | 0.0742339i | −0.886659 | − | 0.462424i | \(-0.846980\pi\) |
0.843800 | + | 0.536658i | \(0.180313\pi\) | |||||||
\(572\) | 0.539057 | + | 0.933675i | 0.0225391 | + | 0.0390389i | ||||
\(573\) | −13.4416 | + | 31.9763i | −0.561530 | + | 1.33583i | ||||
\(574\) | −0.635824 | − | 30.3539i | −0.0265388 | − | 1.26695i | ||||
\(575\) | 0.178056 | + | 2.83011i | 0.00742543 | + | 0.118024i | ||||
\(576\) | −2.22333 | − | 2.08785i | −0.0926387 | − | 0.0869936i | ||||
\(577\) | 14.0077 | − | 13.1541i | 0.583146 | − | 0.547611i | −0.335831 | − | 0.941922i | \(-0.609017\pi\) |
0.918977 | + | 0.394312i | \(0.129017\pi\) | |||||||
\(578\) | −1.95801 | + | 31.1217i | −0.0814426 | + | 1.29449i | ||||
\(579\) | −3.90535 | − | 0.163683i | −0.162301 | − | 0.00680243i | ||||
\(580\) | 36.5189 | + | 14.4589i | 1.51637 | + | 0.600371i | ||||
\(581\) | 2.61299 | + | 24.8609i | 0.108405 | + | 1.03140i | ||||
\(582\) | −61.5256 | + | 40.8775i | −2.55032 | + | 1.69443i | ||||
\(583\) | −2.66527 | − | 0.223809i | −0.110384 | − | 0.00926921i | ||||
\(584\) | −9.98572 | + | 21.2207i | −0.413212 | + | 0.878120i | ||||
\(585\) | 0.0852930 | − | 0.0619690i | 0.00352643 | − | 0.00256210i | ||||
\(586\) | −37.8872 | + | 11.4388i | −1.56511 | + | 0.472534i | ||||
\(587\) | 12.1382 | + | 10.4774i | 0.500996 | + | 0.432448i | 0.867106 | − | 0.498123i | \(-0.165977\pi\) |
−0.366110 | + | 0.930572i | \(0.619311\pi\) | |||||||
\(588\) | −18.5738 | − | 20.6283i | −0.765970 | − | 0.850696i | ||||
\(589\) | 13.4016 | + | 57.1379i | 0.552202 | + | 2.35433i | ||||
\(590\) | −40.8529 | − | 24.7414i | −1.68189 | − | 1.01859i | ||||
\(591\) | 4.95812 | + | 33.5763i | 0.203950 | + | 1.38115i | ||||
\(592\) | −0.688884 | − | 0.116516i | −0.0283130 | − | 0.00478878i | ||||
\(593\) | −0.591720 | + | 0.604245i | −0.0242990 | + | 0.0248134i | −0.726514 | − | 0.687151i | \(-0.758861\pi\) |
0.702215 | + | 0.711965i | \(0.252194\pi\) | |||||||
\(594\) | 4.45445 | − | 18.9916i | 0.182768 | − | 0.779236i | ||||
\(595\) | −5.86870 | + | 3.22635i | −0.240593 | + | 0.132267i | ||||
\(596\) | −21.1692 | − | 15.3803i | −0.867124 | − | 0.630002i | ||||
\(597\) | −2.80240 | − | 0.975900i | −0.114695 | − | 0.0399409i | ||||
\(598\) | −3.46539 | + | 0.145243i | −0.141710 | + | 0.00593943i | ||||
\(599\) | −0.638960 | + | 30.5036i | −0.0261072 | + | 1.24634i | 0.768751 | + | 0.639549i | \(0.220879\pi\) |
−0.794858 | + | 0.606796i | \(0.792455\pi\) | |||||||
\(600\) | 1.83027 | + | 0.814888i | 0.0747204 | + | 0.0332677i | ||||
\(601\) | 5.64761 | − | 1.45006i | 0.230371 | − | 0.0591492i | −0.131740 | − | 0.991284i | \(-0.542056\pi\) |
0.362111 | + | 0.932135i | \(0.382056\pi\) | |||||||
\(602\) | −7.78593 | − | 1.65495i | −0.317331 | − | 0.0674507i | ||||
\(603\) | −0.128947 | −0.00525111 | ||||||||
\(604\) | 18.0277 | − | 36.8997i | 0.733537 | − | 1.50143i | ||||
\(605\) | 18.7835 | 0.763657 | ||||||||
\(606\) | 35.2700 | + | 7.49686i | 1.43274 | + | 0.304539i | ||||
\(607\) | −34.6690 | + | 8.90148i | −1.40717 | + | 0.361300i | −0.874501 | − | 0.485023i | \(-0.838811\pi\) |
−0.532669 | + | 0.846323i | \(0.678811\pi\) | |||||||
\(608\) | 24.9151 | + | 11.0929i | 1.01044 | + | 0.449878i | ||||
\(609\) | −0.295582 | + | 14.1109i | −0.0119776 | + | 0.571804i | ||||
\(610\) | −45.2189 | + | 1.89523i | −1.83086 | + | 0.0767358i | ||||
\(611\) | −0.0986939 | − | 0.0343689i | −0.00399273 | − | 0.00139042i | ||||
\(612\) | −1.21460 | − | 0.882460i | −0.0490974 | − | 0.0356713i | ||||
\(613\) | −26.1181 | + | 14.3586i | −1.05490 | + | 0.579937i | −0.912165 | − | 0.409824i | \(-0.865590\pi\) |
−0.142737 | + | 0.989761i | \(0.545590\pi\) | |||||||
\(614\) | 9.38506 | − | 40.0134i | 0.378750 | − | 1.61481i | ||||
\(615\) | 24.7936 | − | 25.3184i | 0.999773 | − | 1.02093i | ||||
\(616\) | −8.02505 | − | 1.35733i | −0.323338 | − | 0.0546886i | ||||
\(617\) | 3.30144 | + | 22.3573i | 0.132911 | + | 0.900072i | 0.947436 | + | 0.319944i | \(0.103664\pi\) |
−0.814525 | + | 0.580128i | \(0.803003\pi\) | |||||||
\(618\) | 38.7976 | + | 23.4966i | 1.56067 | + | 0.945174i | ||||
\(619\) | −10.8239 | − | 46.1480i | −0.435050 | − | 1.85485i | −0.513739 | − | 0.857947i | \(-0.671740\pi\) |
0.0786883 | − | 0.996899i | \(-0.474927\pi\) | |||||||
\(620\) | 56.6149 | + | 62.8772i | 2.27371 | + | 2.52521i | ||||
\(621\) | 29.7207 | + | 25.6542i | 1.19265 | + | 1.02947i | ||||
\(622\) | −19.4395 | + | 5.86915i | −0.779455 | + | 0.235331i | ||||
\(623\) | 6.54198 | − | 4.75302i | 0.262099 | − | 0.190426i | ||||
\(624\) | −0.0706271 | + | 0.150090i | −0.00282735 | + | 0.00600842i | ||||
\(625\) | −26.5719 | − | 2.23130i | −1.06288 | − | 0.0892521i | ||||
\(626\) | −21.4418 | + | 14.2459i | −0.856987 | + | 0.569381i | ||||
\(627\) | −1.71522 | − | 16.3192i | −0.0684993 | − | 0.651728i | ||||
\(628\) | −14.5095 | − | 5.74470i | −0.578990 | − | 0.229238i | ||||
\(629\) | 2.69416 | + | 0.112919i | 0.107423 | + | 0.00450236i | ||||
\(630\) | −0.124451 | + | 1.97808i | −0.00495823 | + | 0.0788088i | ||||
\(631\) | 29.1146 | − | 27.3405i | 1.15903 | − | 1.08841i | 0.164249 | − | 0.986419i | \(-0.447480\pi\) |
0.994786 | − | 0.101987i | \(-0.0325201\pi\) | |||||||
\(632\) | −26.7103 | − | 25.0826i | −1.06248 | − | 0.997733i | ||||
\(633\) | −2.13445 | − | 33.9262i | −0.0848370 | − | 1.34844i | ||||
\(634\) | 0.471260 | + | 22.4977i | 0.0187161 | + | 0.893499i | ||||
\(635\) | −12.5275 | + | 29.8017i | −0.497138 | + | 1.18264i | ||||
\(636\) | −4.73559 | − | 8.20229i | −0.187778 | − | 0.325242i | ||||
\(637\) | 0.438119 | − | 0.758844i | 0.0173589 | − | 0.0300665i | ||||
\(638\) | −12.0518 | − | 15.8776i | −0.477133 | − | 0.628600i | ||||
\(639\) | −1.11268 | + | 2.99192i | −0.0440171 | + | 0.118358i | ||||
\(640\) | 44.3558 | − | 3.72466i | 1.75332 | − | 0.147230i | ||||
\(641\) | −20.5985 | + | 16.3262i | −0.813594 | + | 0.644846i | −0.937709 | − | 0.347421i | \(-0.887057\pi\) |
0.124115 | + | 0.992268i | \(0.460391\pi\) | |||||||
\(642\) | 50.9077 | − | 22.6655i | 2.00916 | − | 0.894538i | ||||
\(643\) | −5.69649 | − | 13.5514i | −0.224647 | − | 0.534415i | 0.769964 | − | 0.638087i | \(-0.220274\pi\) |
−0.994612 | + | 0.103672i | \(0.966941\pi\) | |||||||
\(644\) | 24.6635 | − | 32.4929i | 0.971877 | − | 1.28040i | ||||
\(645\) | −4.97818 | − | 7.84435i | −0.196016 | − | 0.308871i | ||||
\(646\) | 22.2405 | + | 6.71482i | 0.875043 | + | 0.264191i | ||||
\(647\) | 3.52981 | − | 1.22921i | 0.138771 | − | 0.0483252i | −0.258592 | − | 0.965987i | \(-0.583259\pi\) |
0.397363 | + | 0.917661i | \(0.369925\pi\) | |||||||
\(648\) | 27.8661 | − | 11.0330i | 1.09468 | − | 0.433416i | ||||
\(649\) | 7.02554 | + | 13.4386i | 0.275777 | + | 0.527512i | ||||
\(650\) | −0.0164623 | + | 0.156629i | −0.000645705 | + | 0.00614348i | ||||
\(651\) | −14.0861 | + | 26.9442i | −0.552077 | + | 1.05603i | ||||
\(652\) | −31.3591 | − | 20.8349i | −1.22812 | − | 0.815958i | ||||
\(653\) | −3.26168 | − | 2.58517i | −0.127639 | − | 0.101166i | 0.555265 | − | 0.831673i | \(-0.312617\pi\) |
−0.682904 | + | 0.730508i | \(0.739283\pi\) | |||||||
\(654\) | −15.4318 | − | 3.96222i | −0.603433 | − | 0.154935i | ||||
\(655\) | −18.1206 | − | 8.99515i | −0.708031 | − | 0.351470i | ||||
\(656\) | −1.10992 | + | 3.97529i | −0.0433351 | + | 0.155209i | ||||
\(657\) | −1.15585 | − | 1.39719i | −0.0450942 | − | 0.0545095i | ||||
\(658\) | 1.68052 | − | 1.01776i | 0.0655135 | − | 0.0396764i | ||||
\(659\) | −10.4084 | − | 10.6287i | −0.405455 | − | 0.414037i | 0.481096 | − | 0.876668i | \(-0.340239\pi\) |
−0.886551 | + | 0.462631i | \(0.846906\pi\) | |||||||
\(660\) | −13.5011 | − | 19.4256i | −0.525531 | − | 0.756140i | ||||
\(661\) | −0.589998 | + | 0.713185i | −0.0229483 | + | 0.0277397i | −0.781863 | − | 0.623451i | \(-0.785730\pi\) |
0.758914 | + | 0.651191i | \(0.225730\pi\) | |||||||
\(662\) | 2.44240 | − | 16.5399i | 0.0949265 | − | 0.642841i | ||||
\(663\) | 0.197835 | − | 0.608872i | 0.00768326 | − | 0.0236466i | ||||
\(664\) | 9.40716 | − | 49.3140i | 0.365069 | − | 1.91376i | ||||
\(665\) | −5.15993 | − | 18.4808i | −0.200094 | − | 0.716655i | ||||
\(666\) | 0.455448 | − | 0.655304i | 0.0176483 | − | 0.0253925i | ||||
\(667\) | 39.5578 | − | 6.69071i | 1.53169 | − | 0.259065i | ||||
\(668\) | −15.9846 | − | 49.1954i | −0.618461 | − | 1.90343i | ||||
\(669\) | −40.3170 | + | 5.09322i | −1.55874 | + | 0.196915i | ||||
\(670\) | 1.92486 | − | 2.13778i | 0.0743640 | − | 0.0825895i | ||||
\(671\) | 12.5924 | + | 6.92271i | 0.486123 | + | 0.267248i | ||||
\(672\) | 6.01584 | + | 12.7843i | 0.232066 | + | 0.493165i | ||||
\(673\) | −4.44119 | − | 11.9420i | −0.171195 | − | 0.460330i | 0.822984 | − | 0.568064i | \(-0.192307\pi\) |
−0.994180 | + | 0.107733i | \(0.965641\pi\) | |||||||
\(674\) | −0.326401 | + | 0.514326i | −0.0125725 | + | 0.0198111i | ||||
\(675\) | 1.34953 | − | 1.16488i | 0.0519433 | − | 0.0448363i | ||||
\(676\) | 42.9848 | + | 5.43024i | 1.65326 | + | 0.208855i | ||||
\(677\) | −3.61802 | − | 18.9664i | −0.139052 | − | 0.728936i | −0.981694 | − | 0.190463i | \(-0.939001\pi\) |
0.842642 | − | 0.538473i | \(-0.180999\pi\) | |||||||
\(678\) | −32.3310 | + | 16.0492i | −1.24166 | + | 0.616368i | ||||
\(679\) | 26.8251 | − | 5.70185i | 1.02945 | − | 0.218817i | ||||
\(680\) | 13.1559 | − | 2.79637i | 0.504505 | − | 0.107236i | ||||
\(681\) | 3.43690 | − | 1.70609i | 0.131702 | − | 0.0653776i | ||||
\(682\) | −8.04618 | − | 42.1795i | −0.308104 | − | 1.61514i | ||||
\(683\) | −48.3384 | − | 6.10657i | −1.84962 | − | 0.233661i | −0.879433 | − | 0.476023i | \(-0.842078\pi\) |
−0.970186 | + | 0.242361i | \(0.922078\pi\) | |||||||
\(684\) | 3.25615 | − | 2.81063i | 0.124502 | − | 0.107467i | ||||
\(685\) | 4.81080 | − | 7.58060i | 0.183811 | − | 0.289640i | ||||
\(686\) | 14.4526 | + | 38.8618i | 0.551801 | + | 1.48375i | ||||
\(687\) | −0.0821046 | − | 0.174481i | −0.00313249 | − | 0.00665687i | ||||
\(688\) | 0.948247 | + | 0.521303i | 0.0361516 | + | 0.0198745i | ||||
\(689\) | 0.200054 | − | 0.222182i | 0.00762145 | − | 0.00846448i | ||||
\(690\) | 75.5062 | − | 9.53865i | 2.87447 | − | 0.363130i | ||||
\(691\) | −2.81702 | − | 8.66989i | −0.107164 | − | 0.329818i | 0.883068 | − | 0.469245i | \(-0.155474\pi\) |
−0.990232 | + | 0.139427i | \(0.955474\pi\) | |||||||
\(692\) | 45.0218 | − | 7.61487i | 1.71147 | − | 0.289474i | ||||
\(693\) | 0.359146 | − | 0.516743i | 0.0136428 | − | 0.0196294i | ||||
\(694\) | −11.0431 | − | 39.5519i | −0.419190 | − | 1.50137i | ||||
\(695\) | −2.45861 | + | 12.8885i | −0.0932603 | + | 0.488887i | ||||
\(696\) | 8.75917 | − | 26.9580i | 0.332016 | − | 1.02184i | ||||
\(697\) | 2.32703 | − | 15.7586i | 0.0881426 | − | 0.596900i | ||||
\(698\) | 19.7124 | − | 23.8281i | 0.746124 | − | 0.901908i | ||||
\(699\) | −0.0148126 | − | 0.0213126i | −0.000560265 | − | 0.000806115i | ||||
\(700\) | −1.29598 | − | 1.32341i | −0.0489835 | − | 0.0500203i | ||||
\(701\) | −36.6714 | + | 22.2090i | −1.38506 | + | 0.838821i | −0.996580 | − | 0.0826368i | \(-0.973666\pi\) |
−0.388478 | + | 0.921458i | \(0.626999\pi\) | |||||||
\(702\) | 1.38992 | + | 1.68012i | 0.0524591 | + | 0.0634121i | ||||
\(703\) | −2.07760 | + | 7.44113i | −0.0783582 | + | 0.280648i | ||||
\(704\) | −19.3505 | − | 9.60566i | −0.729299 | − | 0.362027i | ||||
\(705\) | 2.22111 | + | 0.570283i | 0.0836517 | + | 0.0214781i | ||||
\(706\) | −54.2028 | − | 42.9606i | −2.03995 | − | 1.61684i | ||||
\(707\) | −11.1504 | − | 7.40830i | −0.419353 | − | 0.278618i | ||||
\(708\) | −24.8781 | + | 47.5874i | −0.934977 | + | 1.78845i | ||||
\(709\) | −4.89256 | + | 46.5496i | −0.183744 | + | 1.74821i | 0.382488 | + | 0.923960i | \(0.375067\pi\) |
−0.566232 | + | 0.824246i | \(0.691599\pi\) | |||||||
\(710\) | −32.9926 | − | 63.1090i | −1.23819 | − | 2.36844i | ||||
\(711\) | 2.63407 | − | 1.04290i | 0.0987855 | − | 0.0391120i | ||||
\(712\) | −15.3365 | + | 5.34073i | −0.574759 | + | 0.200152i | ||||
\(713\) | 82.7361 | + | 24.9795i | 3.09849 | + | 0.935489i | ||||
\(714\) | 6.44899 | + | 10.1620i | 0.241347 | + | 0.380302i | ||||
\(715\) | 0.451494 | − | 0.594821i | 0.0168849 | − | 0.0222450i | ||||
\(716\) | 13.3873 | + | 31.8472i | 0.500309 | + | 1.19019i | ||||
\(717\) | −4.55530 | + | 2.02815i | −0.170121 | + | 0.0757427i | ||||
\(718\) | −37.5508 | + | 29.7624i | −1.40138 | + | 1.11072i | ||||
\(719\) | 33.7667 | − | 2.83547i | 1.25929 | − | 0.105745i | 0.564785 | − | 0.825238i | \(-0.308959\pi\) |
0.694500 | + | 0.719493i | \(0.255626\pi\) | |||||||
\(720\) | 0.0939193 | − | 0.252541i | 0.00350017 | − | 0.00941166i | ||||
\(721\) | −10.1814 | − | 13.4135i | −0.379174 | − | 0.499543i | ||||
\(722\) | −11.3235 | + | 19.6129i | −0.421419 | + | 0.729918i | ||||
\(723\) | 16.1713 | + | 28.0094i | 0.601415 | + | 1.04168i | ||||
\(724\) | 5.26265 | − | 12.5194i | 0.195585 | − | 0.465278i | ||||
\(725\) | −0.0381511 | − | 1.82132i | −0.00141690 | − | 0.0676420i | ||||
\(726\) | −2.11959 | − | 33.6899i | −0.0786653 | − | 1.25035i | ||||
\(727\) | −26.9811 | − | 25.3370i | −1.00067 | − | 0.939696i | −0.00249470 | − | 0.999997i | \(-0.500794\pi\) |
−0.998180 | + | 0.0603005i | \(0.980794\pi\) | |||||||
\(728\) | 0.663210 | − | 0.622795i | 0.0245802 | − | 0.0230823i | ||||
\(729\) | 1.53901 | − | 24.4618i | 0.0570002 | − | 0.905993i | ||||
\(730\) | 40.4178 | + | 1.69401i | 1.49593 | + | 0.0626980i | ||||
\(731\) | −3.88309 | − | 1.53742i | −0.143621 | − | 0.0568636i | ||||
\(732\) | 5.31892 | + | 50.6061i | 0.196593 | + | 1.87046i | ||||
\(733\) | 38.5763 | − | 25.6300i | 1.42485 | − | 0.946667i | 0.425723 | − | 0.904854i | \(-0.360020\pi\) |
0.999125 | − | 0.0418134i | \(-0.0133135\pi\) | |||||||
\(734\) | 17.1065 | + | 1.43647i | 0.631412 | + | 0.0530211i | ||||
\(735\) | −8.18641 | + | 17.3970i | −0.301960 | + | 0.641698i | ||||
\(736\) | 32.4919 | − | 23.6068i | 1.19767 | − | 0.870157i | ||||
\(737\) | −0.874371 | + | 0.263988i | −0.0322079 | + | 0.00972412i | ||||
\(738\) | −3.56872 | − | 3.08044i | −0.131366 | − | 0.113392i | ||||
\(739\) | 1.36804 | + | 1.51936i | 0.0503242 | + | 0.0558907i | 0.767781 | − | 0.640712i | \(-0.221361\pi\) |
−0.717457 | + | 0.696603i | \(0.754694\pi\) | |||||||
\(740\) | 2.54336 | + | 10.8437i | 0.0934960 | + | 0.398622i | ||||
\(741\) | 1.56894 | + | 0.950184i | 0.0576365 | + | 0.0349059i | ||||
\(742\) | 0.821076 | + | 5.56031i | 0.0301426 | + | 0.204126i | ||||
\(743\) | −18.0126 | − | 3.04661i | −0.660820 | − | 0.111769i | −0.173283 | − | 0.984872i | \(-0.555438\pi\) |
−0.487536 | + | 0.873103i | \(0.662104\pi\) | |||||||
\(744\) | 42.7219 | − | 43.6261i | 1.56626 | − | 1.59941i | ||||
\(745\) | −4.13874 | + | 17.6456i | −0.151632 | + | 0.646485i | ||||
\(746\) | 49.5047 | − | 27.2154i | 1.81250 | − | 0.996428i | ||||
\(747\) | 3.14029 | + | 2.28155i | 0.114897 | + | 0.0834777i | ||||
\(748\) | −10.0427 | − | 3.49723i | −0.367197 | − | 0.127871i | ||||
\(749\) | −20.6708 | + | 0.866363i | −0.755294 | + | 0.0316562i | ||||
\(750\) | −0.936064 | + | 44.6872i | −0.0341802 | + | 1.63175i | ||||
\(751\) | −38.7529 | − | 17.2539i | −1.41411 | − | 0.629604i | −0.449501 | − | 0.893280i | \(-0.648398\pi\) |
−0.964611 | + | 0.263676i | \(0.915065\pi\) | |||||||
\(752\) | −0.258695 | + | 0.0664217i | −0.00943365 | + | 0.00242215i | ||||
\(753\) | −23.9712 | − | 5.09523i | −0.873558 | − | 0.185681i | ||||
\(754\) | 2.22819 | 0.0811459 | ||||||||
\(755\) | −28.4007 | − | 1.60688i | −1.03361 | − | 0.0584804i | ||||
\(756\) | −25.6457 | −0.932724 | ||||||||
\(757\) | 23.4449 | + | 4.98337i | 0.852120 | + | 0.181124i | 0.613212 | − | 0.789919i | \(-0.289877\pi\) |
0.238908 | + | 0.971042i | \(0.423211\pi\) | |||||||
\(758\) | 18.8135 | − | 4.83049i | 0.683338 | − | 0.175451i | ||||
\(759\) | −22.0750 | − | 9.82842i | −0.801271 | − | 0.356749i | ||||
\(760\) | −0.807008 | + | 38.5261i | −0.0292732 | + | 1.39749i | ||||
\(761\) | 34.8065 | − | 1.45882i | 1.26173 | − | 0.0528823i | 0.598395 | − | 0.801202i | \(-0.295806\pi\) |
0.663339 | + | 0.748319i | \(0.269139\pi\) | |||||||
\(762\) | 54.8657 | + | 19.1062i | 1.98757 | + | 0.692146i | ||||
\(763\) | 4.78546 | + | 3.47684i | 0.173245 | + | 0.125870i | ||||
\(764\) | −56.4380 | + | 31.0271i | −2.04186 | + | 1.12252i | ||||
\(765\) | −0.237464 | + | 1.01243i | −0.00858553 | + | 0.0366046i | ||||
\(766\) | −22.7161 | + | 23.1969i | −0.820765 | + | 0.838138i | ||||
\(767\) | −1.67135 | − | 0.282687i | −0.0603488 | − | 0.0102072i | ||||
\(768\) | −4.99810 | − | 33.8471i | −0.180354 | − | 1.22135i | ||||
\(769\) | 10.5232 | + | 6.37309i | 0.379477 | + | 0.229820i | 0.694860 | − | 0.719145i | \(-0.255466\pi\) |
−0.315383 | + | 0.948965i | \(0.602133\pi\) | |||||||
\(770\) | 3.20578 | + | 13.6679i | 0.115528 | + | 0.492558i | ||||
\(771\) | −31.7706 | − | 35.2848i | −1.14419 | − | 1.27075i | ||||
\(772\) | −5.49401 | − | 4.74230i | −0.197734 | − | 0.170679i | ||||
\(773\) | 28.1190 | − | 8.48963i | 1.01137 | − | 0.305351i | 0.260268 | − | 0.965536i | \(-0.416189\pi\) |
0.751102 | + | 0.660186i | \(0.229522\pi\) | |||||||
\(774\) | −0.999938 | + | 0.726498i | −0.0359420 | + | 0.0261134i | ||||
\(775\) | 1.67088 | − | 3.55080i | 0.0600198 | − | 0.127549i | ||||
\(776\) | −54.8834 | − | 4.60869i | −1.97020 | − | 0.165442i | ||||
\(777\) | −3.33366 | + | 2.21488i | −0.119595 | + | 0.0794584i | ||||
\(778\) | 1.71882 | + | 16.3535i | 0.0616226 | + | 0.586300i | ||||
\(779\) | 42.4342 | + | 16.8009i | 1.52036 | + | 0.601955i | ||||
\(780\) | 2.64205 | + | 0.110735i | 0.0946005 | + | 0.00396494i | ||||
\(781\) | −1.41972 | + | 22.5658i | −0.0508015 | + | 0.807466i | ||||
\(782\) | 24.9392 | − | 23.4194i | 0.891823 | − | 0.837477i | ||||
\(783\) | −18.3863 | − | 17.2659i | −0.657072 | − | 0.617031i | ||||
\(784\) | −0.140612 | − | 2.23496i | −0.00502186 | − | 0.0798201i | ||||
\(785\) | 0.226370 | + | 10.8068i | 0.00807948 | + | 0.385711i | ||||
\(786\) | −14.0888 | + | 33.5160i | −0.502532 | + | 1.19548i | ||||
\(787\) | 9.76725 | + | 16.9174i | 0.348165 | + | 0.603039i | 0.985924 | − | 0.167197i | \(-0.0534716\pi\) |
−0.637759 | + | 0.770236i | \(0.720138\pi\) | |||||||
\(788\) | −31.5095 | + | 54.5761i | −1.12248 | + | 1.94419i | ||||
\(789\) | −8.48523 | − | 11.1789i | −0.302082 | − | 0.397979i | ||||
\(790\) | −22.0303 | + | 59.2378i | −0.783804 | + | 2.10759i | ||||
\(791\) | 13.3540 | − | 1.12136i | 0.474812 | − | 0.0398711i | ||||
\(792\) | −0.990440 | + | 0.785013i | −0.0351937 | + | 0.0278942i | ||||
\(793\) | −1.46741 | + | 0.653332i | −0.0521092 | + | 0.0232005i | ||||
\(794\) | −14.2532 | − | 33.9071i | −0.505828 | − | 1.20332i | ||||
\(795\) | −3.96635 | + | 5.22547i | −0.140672 | + | 0.185328i | ||||
\(796\) | −2.95233 | − | 4.65212i | −0.104642 | − | 0.164890i | ||||
\(797\) | 16.4497 | + | 4.96645i | 0.582677 | + | 0.175921i | 0.566661 | − | 0.823951i | \(-0.308235\pi\) |
0.0160164 | + | 0.999872i | \(0.494902\pi\) | |||||||
\(798\) | −32.5647 | + | 11.3402i | −1.15278 | + | 0.401440i | ||||
\(799\) | 0.958437 | − | 0.379472i | 0.0339071 | − | 0.0134248i | ||||
\(800\) | −0.844888 | − | 1.61612i | −0.0298713 | − | 0.0571386i | ||||
\(801\) | 0.131249 | − | 1.24875i | 0.00463745 | − | 0.0441224i | ||||
\(802\) | −21.8761 | + | 41.8451i | −0.772472 | + | 1.47760i | ||||
\(803\) | −10.6981 | − | 7.10781i | −0.377528 | − | 0.250829i | ||||
\(804\) | −2.53468 | − | 2.00896i | −0.0893911 | − | 0.0708505i | ||||
\(805\) | −27.3680 | − | 7.02690i | −0.964595 | − | 0.247666i | ||||
\(806\) | 4.29934 | + | 2.13421i | 0.151438 | + | 0.0751743i | ||||
\(807\) | 8.16178 | − | 29.2322i | 0.287308 | − | 1.02902i | ||||
\(808\) | 17.1373 | + | 20.7155i | 0.602890 | + | 0.728769i | ||||
\(809\) | 3.12499 | − | 1.89256i | 0.109869 | − | 0.0665389i | −0.462023 | − | 0.886868i | \(-0.652876\pi\) |
0.571892 | + | 0.820329i | \(0.306210\pi\) | |||||||
\(810\) | −36.1697 | − | 36.9353i | −1.27088 | − | 1.29777i | ||||
\(811\) | −0.865497 | − | 1.24529i | −0.0303917 | − | 0.0437280i | 0.805662 | − | 0.592375i | \(-0.201810\pi\) |
−0.836054 | + | 0.548647i | \(0.815143\pi\) | |||||||
\(812\) | −16.7045 | + | 20.1923i | −0.586214 | + | 0.708611i | ||||
\(813\) | −3.91339 | + | 26.5015i | −0.137249 | + | 0.929447i | ||||
\(814\) | 1.74675 | − | 5.37596i | 0.0612237 | − | 0.188427i | ||||
\(815\) | −4.88658 | + | 25.6163i | −0.171169 | + | 0.897301i | ||||
\(816\) | −0.439997 | − | 1.57589i | −0.0154030 | − | 0.0551672i | ||||
\(817\) | 6.82892 | − | 9.82553i | 0.238914 | − | 0.343752i | ||||
\(818\) | 63.1836 | − | 10.6867i | 2.20916 | − | 0.373652i | ||||
\(819\) | 0.0217372 | + | 0.0669004i | 0.000759561 | + | 0.00233769i | ||||
\(820\) | 65.2779 | − | 8.24652i | 2.27960 | − | 0.287981i | ||||
\(821\) | 24.0412 | − | 26.7005i | 0.839045 | − | 0.931854i | −0.159422 | − | 0.987211i | \(-0.550963\pi\) |
0.998467 | + | 0.0553566i | \(0.0176296\pi\) | |||||||
\(822\) | −14.1394 | − | 7.77318i | −0.493167 | − | 0.271121i | ||||
\(823\) | 22.5559 | + | 47.9338i | 0.786250 | + | 1.67087i | 0.740635 | + | 0.671908i | \(0.234525\pi\) |
0.0456151 | + | 0.998959i | \(0.485475\pi\) | |||||||
\(824\) | 11.7886 | + | 31.6985i | 0.410674 | + | 1.10427i | ||||
\(825\) | −0.587919 | + | 0.926413i | −0.0204687 | + | 0.0322535i | ||||
\(826\) | 24.1230 | − | 20.8224i | 0.839346 | − | 0.724504i | ||||
\(827\) | −49.9941 | − | 6.31573i | −1.73847 | − | 0.219619i | −0.808816 | − | 0.588062i | \(-0.799891\pi\) |
−0.929650 | + | 0.368443i | \(0.879891\pi\) | |||||||
\(828\) | −1.18692 | − | 6.22207i | −0.0412484 | − | 0.216232i | ||||
\(829\) | 37.5393 | − | 18.6347i | 1.30379 | − | 0.647209i | 0.346970 | − | 0.937876i | \(-0.387211\pi\) |
0.956824 | + | 0.290668i | \(0.0938774\pi\) | |||||||
\(830\) | −84.7024 | + | 18.0040i | −2.94006 | + | 0.624929i | ||||
\(831\) | −26.3712 | + | 5.60537i | −0.914807 | + | 0.194448i | ||||
\(832\) | 2.16302 | − | 1.07373i | 0.0749894 | − | 0.0372251i | ||||
\(833\) | 1.61953 | + | 8.48985i | 0.0561132 | + | 0.294156i | ||||
\(834\) | 23.3941 | + | 2.95536i | 0.810070 | + | 0.102336i | ||||
\(835\) | −27.1225 | + | 23.4116i | −0.938614 | + | 0.810190i | ||||
\(836\) | 16.3254 | − | 25.7248i | 0.564627 | − | 0.889709i | ||||
\(837\) | −18.9390 | − | 50.9255i | −0.654629 | − | 1.76024i | ||||
\(838\) | 15.6279 | + | 33.2109i | 0.539855 | + | 1.14725i | ||||
\(839\) | 41.4797 | + | 22.8036i | 1.43204 | + | 0.787269i | 0.993757 | − | 0.111569i | \(-0.0355876\pi\) |
0.438281 | + | 0.898838i | \(0.355588\pi\) | |||||||
\(840\) | −13.3580 | + | 14.8355i | −0.460893 | + | 0.511874i | ||||
\(841\) | 3.20089 | − | 0.404366i | 0.110375 | − | 0.0139436i | ||||
\(842\) | 6.84049 | + | 21.0529i | 0.235739 | + | 0.725529i | ||||
\(843\) | 54.2408 | − | 9.17414i | 1.86815 | − | 0.315974i | ||||
\(844\) | 36.0218 | − | 51.8286i | 1.23992 | − | 1.78401i | ||||
\(845\) | −8.07040 | − | 28.9049i | −0.277630 | − | 0.994359i | ||||
\(846\) | 0.0571647 | − | 0.299668i | 0.00196536 | − | 0.0103028i | ||||
\(847\) | −3.87280 | + | 11.9193i | −0.133071 | + | 0.409550i | ||||
\(848\) | 0.111620 | − | 0.755890i | 0.00383305 | − | 0.0259574i | ||||
\(849\) | 35.7961 | − | 43.2701i | 1.22852 | − | 1.48503i | ||||
\(850\) | −0.886573 | − | 1.27561i | −0.0304092 | − | 0.0437531i | ||||
\(851\) | 7.96000 | + | 8.12849i | 0.272865 | + | 0.278641i | ||||
\(852\) | −68.4852 | + | 41.4761i | −2.34626 | + | 1.42095i | ||||
\(853\) | −18.3798 | − | 22.2174i | −0.629313 | − | 0.760709i | 0.355434 | − | 0.934701i | \(-0.384333\pi\) |
−0.984747 | + | 0.173992i | \(0.944333\pi\) | |||||||
\(854\) | 8.12065 | − | 29.0849i | 0.277883 | − | 0.995265i | ||||
\(855\) | −2.66870 | − | 1.32475i | −0.0912675 | − | 0.0453056i | ||||
\(856\) | 40.2443 | + | 10.3330i | 1.37552 | + | 0.353174i | ||||
\(857\) | 31.3444 | + | 24.8432i | 1.07070 | + | 0.848628i | 0.988983 | − | 0.148027i | \(-0.0472922\pi\) |
0.0817193 | + | 0.996655i | \(0.473959\pi\) | |||||||
\(858\) | −1.11781 | − | 0.742673i | −0.0381615 | − | 0.0253545i | ||||
\(859\) | 0.733880 | − | 1.40378i | 0.0250397 | − | 0.0478965i | −0.873360 | − | 0.487075i | \(-0.838064\pi\) |
0.898400 | + | 0.439179i | \(0.144730\pi\) | |||||||
\(860\) | 1.80316 | − | 17.1560i | 0.0614874 | − | 0.585013i | ||||
\(861\) | 10.9541 | + | 20.9532i | 0.373313 | + | 0.714082i | ||||
\(862\) | −7.25924 | + | 2.87414i | −0.247251 | + | 0.0978935i | ||||
\(863\) | −33.8612 | + | 11.7917i | −1.15265 | + | 0.401395i | −0.836851 | − | 0.547431i | \(-0.815606\pi\) |
−0.315799 | + | 0.948826i | \(0.602273\pi\) | |||||||
\(864\) | −24.1714 | − | 7.29778i | −0.822328 | − | 0.248275i | ||||
\(865\) | −16.9469 | − | 26.7041i | −0.576213 | − | 0.907967i | ||||
\(866\) | 25.1142 | − | 33.0867i | 0.853415 | − | 1.12433i | ||||
\(867\) | −9.41059 | − | 22.3869i | −0.319600 | − | 0.760299i | ||||
\(868\) | −51.5723 | + | 22.9615i | −1.75048 | + | 0.779363i | ||||
\(869\) | 15.7262 | − | 12.4644i | 0.533475 | − | 0.422827i | ||||
\(870\) | −48.7207 | + | 4.09119i | −1.65179 | + | 0.138704i | ||||
\(871\) | 0.0355878 | − | 0.0956927i | 0.00120585 | − | 0.00324242i | ||||
\(872\) | −7.18229 | − | 9.46232i | −0.243223 | − | 0.320435i | ||||
\(873\) | 2.12920 | − | 3.68788i | 0.0720625 | − | 0.124816i | ||||
\(874\) | 49.0093 | + | 84.8866i | 1.65776 | + | 2.87133i | ||||
\(875\) | 6.43062 | − | 15.2978i | 0.217395 | − | 0.517162i | ||||
\(876\) | −0.952506 | − | 45.4722i | −0.0321822 | − | 1.53636i | ||||
\(877\) | 2.83998 | + | 45.1401i | 0.0958992 | + | 1.52427i | 0.692313 | + | 0.721597i | \(0.256592\pi\) |
−0.596414 | + | 0.802677i | \(0.703408\pi\) | |||||||
\(878\) | −44.6324 | − | 41.9126i | −1.50627 | − | 1.41448i | ||||
\(879\) | 22.4673 | − | 21.0982i | 0.757804 | − | 0.711626i | ||||
\(880\) | 0.119835 | − | 1.90473i | 0.00403965 | − | 0.0642084i | ||||
\(881\) | −12.7157 | − | 0.532946i | −0.428403 | − | 0.0179554i | −0.173300 | − | 0.984869i | \(-0.555443\pi\) |
−0.255104 | + | 0.966914i | \(0.582110\pi\) | |||||||
\(882\) | 2.37825 | + | 0.941615i | 0.0800797 | + | 0.0317058i | ||||
\(883\) | 1.58675 | + | 15.0969i | 0.0533984 | + | 0.508051i | 0.988232 | + | 0.152965i | \(0.0488820\pi\) |
−0.934833 | + | 0.355087i | \(0.884451\pi\) | |||||||
\(884\) | 0.990098 | − | 0.657820i | 0.0333006 | − | 0.0221249i | ||||
\(885\) | 37.0640 | + | 3.11235i | 1.24589 | + | 0.104621i | ||||
\(886\) | 32.7215 | − | 69.5368i | 1.09930 | − | 2.33613i | ||||
\(887\) | 30.3635 | − | 22.0604i | 1.01951 | − | 0.740716i | 0.0533258 | − | 0.998577i | \(-0.483018\pi\) |
0.966182 | + | 0.257861i | \(0.0830178\pi\) | |||||||
\(888\) | 7.69492 | − | 2.32323i | 0.258225 | − | 0.0779626i | ||||
\(889\) | −16.3280 | − | 14.0940i | −0.547625 | − | 0.472697i | ||||
\(890\) | 18.7435 | + | 20.8168i | 0.628283 | + | 0.697779i | ||||
\(891\) | 3.74808 | + | 15.9800i | 0.125565 | + | 0.535350i | ||||
\(892\) | −64.5404 | − | 39.0871i | −2.16097 | − | 1.30873i | ||||
\(893\) | 0.431440 | + | 2.92170i | 0.0144376 | + | 0.0977711i | ||||
\(894\) | 32.1161 | + | 5.43202i | 1.07412 | + | 0.181674i | ||||
\(895\) | 16.7422 | − | 17.0966i | 0.559631 | − | 0.571477i | ||||
\(896\) | −6.78181 | + | 28.9144i | −0.226564 | + | 0.965962i | ||||
\(897\) | 2.36699 | − | 1.30126i | 0.0790314 | − | 0.0434479i | ||||
\(898\) | −29.4362 | − | 21.3866i | −0.982297 | − | 0.713681i | ||||
\(899\) | −52.4327 | − | 18.2590i | −1.74873 | − | 0.608971i | ||||
\(900\) | −0.287368 | + | 0.0120443i | −0.00957893 | + | 0.000401476i | ||||
\(901\) | −0.0617594 | + | 2.94836i | −0.00205750 | + | 0.0982242i | ||||
\(902\) | −30.5055 | − | 13.5819i | −1.01572 | − | 0.452229i | ||||
\(903\) | 6.00412 | − | 1.54160i | 0.199805 | − | 0.0513011i | ||||
\(904\) | −26.3251 | − | 5.59557i | −0.875560 | − | 0.186106i | ||||
\(905\) | −9.40665 | −0.312687 | ||||||||
\(906\) | 0.322739 | + | 51.1206i | 0.0107223 | + | 1.69837i | ||||
\(907\) | −22.3081 | −0.740729 | −0.370364 | − | 0.928887i | \(-0.620767\pi\) | ||||
−0.370364 | + | 0.928887i | \(0.620767\pi\) | |||||||
\(908\) | 6.96880 | + | 1.48126i | 0.231268 | + | 0.0491575i | ||||
\(909\) | −2.01341 | + | 0.516956i | −0.0667806 | + | 0.0171463i | ||||
\(910\) | −1.43361 | − | 0.638285i | −0.0475237 | − | 0.0211589i | ||||
\(911\) | 0.540569 | − | 25.8065i | 0.0179099 | − | 0.855008i | −0.894816 | − | 0.446435i | \(-0.852693\pi\) |
0.912726 | − | 0.408573i | \(-0.133973\pi\) | |||||||
\(912\) | 4.68361 | − | 0.196301i | 0.155090 | − | 0.00650019i | ||||
\(913\) | 25.9648 | + | 9.04192i | 0.859311 | + | 0.299244i | ||||
\(914\) | −64.6157 | − | 46.9461i | −2.13730 | − | 1.55284i | ||||
\(915\) | 30.8862 | − | 16.9798i | 1.02107 | − | 0.561335i | ||||
\(916\) | 0.0817599 | − | 0.348585i | 0.00270142 | − | 0.0115176i | ||||
\(917\) | 9.44409 | − | 9.64399i | 0.311871 | − | 0.318473i | ||||
\(918\) | −21.2068 | − | 3.58687i | −0.699930 | − | 0.118384i | ||||
\(919\) | −0.534922 | − | 3.62248i | −0.0176454 | − | 0.119495i | 0.978644 | − | 0.205564i | \(-0.0659028\pi\) |
−0.996289 | + | 0.0860690i | \(0.972569\pi\) | |||||||
\(920\) | 48.5385 | + | 29.3960i | 1.60027 | + | 0.969156i | ||||
\(921\) | 7.30876 | + | 31.1611i | 0.240832 | + | 1.02679i | ||||
\(922\) | 56.2380 | + | 62.4587i | 1.85210 | + | 2.05697i | ||||
\(923\) | −1.91324 | − | 1.65147i | −0.0629752 | − | 0.0543587i | ||||
\(924\) | 15.1104 | − | 4.56209i | 0.497095 | − | 0.150082i | ||||
\(925\) | 0.417931 | − | 0.303645i | 0.0137415 | − | 0.00998378i | ||||
\(926\) | −15.0722 | + | 32.0300i | −0.495303 | + | 1.05257i | ||||
\(927\) | −2.60569 | − | 0.218806i | −0.0855821 | − | 0.00718653i | ||||
\(928\) | −21.4902 | + | 14.2781i | −0.705451 | + | 0.468700i | ||||
\(929\) | −1.38468 | − | 13.1744i | −0.0454299 | − | 0.432237i | −0.993471 | − | 0.114088i | \(-0.963605\pi\) |
0.948041 | − | 0.318149i | \(-0.103061\pi\) | |||||||
\(930\) | −97.9262 | − | 38.7717i | −3.21113 | − | 1.27137i | ||||
\(931\) | −24.7409 | − | 1.03695i | −0.810851 | − | 0.0339847i | ||||
\(932\) | 0.00302595 | − | 0.0480962i | 9.91184e−5 | − | 0.00157544i | ||||
\(933\) | 11.5278 | − | 10.8253i | 0.377402 | − | 0.354404i | ||||
\(934\) | 33.4722 | + | 31.4325i | 1.09525 | + | 1.02850i | ||||
\(935\) | 0.462507 | + | 7.35133i | 0.0151256 | + | 0.240414i | ||||
\(936\) | −0.00295855 | − | 0.141240i | −9.67031e−5 | − | 0.00461656i | ||||
\(937\) | −10.6576 | + | 25.3535i | −0.348169 | + | 0.828262i | 0.649522 | + | 0.760343i | \(0.274969\pi\) |
−0.997691 | + | 0.0679186i | \(0.978364\pi\) | |||||||
\(938\) | 0.959678 | + | 1.66221i | 0.0313346 | + | 0.0542731i | ||||
\(939\) | 10.0238 | − | 17.3618i | 0.327116 | − | 0.566581i | ||||
\(940\) | 2.57427 | + | 3.39148i | 0.0839635 | + | 0.110618i | ||||
\(941\) | −4.42988 | + | 11.9116i | −0.144410 | + | 0.388307i | −0.989158 | − | 0.146858i | \(-0.953084\pi\) |
0.844747 | + | 0.535165i | \(0.179751\pi\) | |||||||
\(942\) | 19.3574 | − | 1.62549i | 0.630698 | − | 0.0529612i | ||||
\(943\) | 52.6707 | − | 41.7462i | 1.71519 | − | 1.35944i | ||||
\(944\) | −3.95756 | + | 1.76202i | −0.128808 | + | 0.0573489i | ||||
\(945\) | 6.88371 | + | 16.3757i | 0.223927 | + | 0.532701i | ||||
\(946\) | −5.29312 | + | 6.97343i | −0.172094 | + | 0.226726i | ||||
\(947\) | 14.7957 | + | 23.3143i | 0.480796 | + | 0.757613i | 0.994981 | − | 0.100066i | \(-0.0319055\pi\) |
−0.514185 | + | 0.857679i | \(0.671906\pi\) | |||||||
\(948\) | 68.0256 | + | 20.5382i | 2.20937 | + | 0.667048i | ||||
\(949\) | 1.35587 | − | 0.472164i | 0.0440134 | − | 0.0153271i | ||||
\(950\) | 4.13819 | − | 1.63842i | 0.134261 | − | 0.0531575i | ||||
\(951\) | −8.11894 | − | 15.5301i | −0.263275 | − | 0.503598i | ||||
\(952\) | −0.938029 | + | 8.92475i | −0.0304017 | + | 0.289253i | ||||
\(953\) | 17.7997 | − | 34.0476i | 0.576587 | − | 1.10291i | −0.405431 | − | 0.914126i | \(-0.632879\pi\) |
0.982019 | − | 0.188784i | \(-0.0604547\pi\) | |||||||
\(954\) | 0.726937 | + | 0.482976i | 0.0235355 | + | 0.0156369i | ||||
\(955\) | 34.9608 | + | 27.7096i | 1.13130 | + | 0.896661i | ||||
\(956\) | −8.96764 | − | 2.30250i | −0.290034 | − | 0.0744681i | ||||
\(957\) | 13.9046 | + | 6.90229i | 0.449471 | + | 0.223119i | ||||
\(958\) | −2.34986 | + | 8.41625i | −0.0759205 | + | 0.271917i | ||||
\(959\) | 3.81845 | + | 4.61572i | 0.123304 | + | 0.149049i | ||||
\(960\) | −45.3243 | + | 27.4494i | −1.46284 | + | 0.885925i | ||||
\(961\) | −61.9914 | − | 63.3035i | −1.99972 | − | 2.04205i | ||||
\(962\) | 0.360610 | + | 0.518849i | 0.0116265 | + | 0.0167284i | ||||
\(963\) | −2.04775 | + | 2.47530i | −0.0659877 | + | 0.0797654i | ||||
\(964\) | −8.77259 | + | 59.4079i | −0.282546 | + | 1.91340i | ||||
\(965\) | −1.55345 | + | 4.78103i | −0.0500074 | + | 0.153907i | ||||
\(966\) | −9.51510 | + | 49.8799i | −0.306143 | + | 1.60486i | ||||
\(967\) | −8.85710 | − | 31.7225i | −0.284825 | − | 1.02013i | −0.959429 | − | 0.281949i | \(-0.909019\pi\) |
0.674604 | − | 0.738179i | \(-0.264314\pi\) | |||||||
\(968\) | 14.3645 | − | 20.6678i | 0.461692 | − | 0.664288i | ||||
\(969\) | −17.8390 | + | 3.01724i | −0.573071 | + | 0.0969277i | ||||
\(970\) | 29.3567 | + | 90.3508i | 0.942588 | + | 2.90099i | ||||
\(971\) | −15.1345 | + | 1.91193i | −0.485689 | + | 0.0613568i | −0.364365 | − | 0.931256i | \(-0.618714\pi\) |
−0.121324 | + | 0.992613i | \(0.538714\pi\) | |||||||
\(972\) | −5.56076 | + | 6.17585i | −0.178362 | + | 0.198091i | ||||
\(973\) | −7.67159 | − | 4.21749i | −0.245940 | − | 0.135207i | ||||
\(974\) | −22.9740 | − | 48.8223i | −0.736136 | − | 1.56437i | ||||
\(975\) | −0.0427519 | − | 0.114956i | −0.00136916 | − | 0.00368155i | ||||
\(976\) | −2.19964 | + | 3.46608i | −0.0704088 | + | 0.110947i | ||||
\(977\) | 24.4850 | − | 21.1349i | 0.783345 | − | 0.676165i | −0.167486 | − | 0.985874i | \(-0.553565\pi\) |
0.950831 | + | 0.309709i | \(0.100232\pi\) | |||||||
\(978\) | 46.4966 | + | 5.87389i | 1.48680 | + | 0.187826i | ||||
\(979\) | −1.66654 | − | 8.73631i | −0.0532628 | − | 0.279214i | ||||
\(980\) | −31.9766 | + | 15.8733i | −1.02145 | + | 0.507054i | ||||
\(981\) | 0.898421 | − | 0.190965i | 0.0286844 | − | 0.00609705i | ||||
\(982\) | 13.1974 | − | 2.80519i | 0.421146 | − | 0.0895174i | ||||
\(983\) | −8.30671 | + | 4.12348i | −0.264943 | + | 0.131519i | −0.572217 | − | 0.820102i | \(-0.693916\pi\) |
0.307274 | + | 0.951621i | \(0.400583\pi\) | |||||||
\(984\) | −8.89758 | − | 46.6428i | −0.283645 | − | 1.48692i | ||||
\(985\) | 43.3065 | + | 5.47088i | 1.37986 | + | 0.174317i | ||||
\(986\) | −16.6374 | + | 14.3610i | −0.529842 | + | 0.457348i | ||||
\(987\) | −0.819829 | + | 1.29184i | −0.0260954 | + | 0.0411198i | ||||
\(988\) | 1.18714 | + | 3.19213i | 0.0377680 | + | 0.101555i | ||||
\(989\) | −7.50245 | − | 15.9435i | −0.238564 | − | 0.506974i | ||||
\(990\) | 1.91028 | + | 1.05019i | 0.0607127 | + | 0.0333771i | ||||
\(991\) | −14.3791 | + | 15.9696i | −0.456768 | + | 0.507292i | −0.926902 | − | 0.375303i | \(-0.877539\pi\) |
0.470134 | + | 0.882595i | \(0.344205\pi\) | |||||||
\(992\) | −55.1416 | + | 6.96600i | −1.75075 | + | 0.221171i | ||||
\(993\) | 4.02351 | + | 12.3831i | 0.127682 | + | 0.392966i | ||||
\(994\) | 46.8489 | − | 7.92390i | 1.48596 | − | 0.251331i | ||||
\(995\) | −2.17810 | + | 3.13387i | −0.0690503 | + | 0.0993504i | ||||
\(996\) | 26.1819 | + | 93.7730i | 0.829605 | + | 2.97131i | ||||
\(997\) | −8.83946 | + | 46.3380i | −0.279948 | + | 1.46754i | 0.513072 | + | 0.858346i | \(0.328507\pi\) |
−0.793020 | + | 0.609195i | \(0.791493\pi\) | |||||||
\(998\) | −19.7103 | + | 60.6619i | −0.623917 | + | 1.92022i | ||||
\(999\) | 1.04484 | − | 7.07567i | 0.0330574 | − | 0.223864i |
(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 | 151.2.k.a.21.2 | ✓ | 480 | |
151.36 | even | 75 | inner | 151.2.k.a.36.2 | yes | 480 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
151.2.k.a.21.2 | ✓ | 480 | 1.1 | even | 1 | trivial | |
151.2.k.a.36.2 | yes | 480 | 151.36 | even | 75 | inner |