Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(31,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 0, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.31");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.m (of order \(11\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.50967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(30\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 331.2 | ||
Character | \(\chi\) | \(=\) | 690.331 |
Dual form | 690.2.m.g.271.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{5}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.959493 | + | 0.281733i | −0.678464 | + | 0.199215i | ||||
\(3\) | −0.654861 | − | 0.755750i | −0.378084 | − | 0.436332i | ||||
\(4\) | 0.841254 | − | 0.540641i | 0.420627 | − | 0.270320i | ||||
\(5\) | −0.142315 | − | 0.989821i | −0.0636451 | − | 0.442662i | ||||
\(6\) | 0.841254 | + | 0.540641i | 0.343440 | + | 0.220716i | ||||
\(7\) | −0.117211 | + | 0.256656i | −0.0443015 | + | 0.0970068i | −0.930489 | − | 0.366321i | \(-0.880617\pi\) |
0.886187 | + | 0.463327i | \(0.153345\pi\) | |||||||
\(8\) | −0.654861 | + | 0.755750i | −0.231528 | + | 0.267198i | ||||
\(9\) | −0.142315 | + | 0.989821i | −0.0474383 | + | 0.329940i | ||||
\(10\) | 0.415415 | + | 0.909632i | 0.131366 | + | 0.287651i | ||||
\(11\) | −1.39757 | − | 0.410362i | −0.421382 | − | 0.123729i | 0.0641654 | − | 0.997939i | \(-0.479561\pi\) |
−0.485547 | + | 0.874210i | \(0.661380\pi\) | |||||||
\(12\) | −0.959493 | − | 0.281733i | −0.276982 | − | 0.0813292i | ||||
\(13\) | 2.84180 | + | 6.22268i | 0.788175 | + | 1.72586i | 0.681804 | + | 0.731535i | \(0.261196\pi\) |
0.106370 | + | 0.994327i | \(0.466077\pi\) | |||||||
\(14\) | 0.0401546 | − | 0.279282i | 0.0107318 | − | 0.0746412i | ||||
\(15\) | −0.654861 | + | 0.755750i | −0.169084 | + | 0.195134i | ||||
\(16\) | 0.415415 | − | 0.909632i | 0.103854 | − | 0.227408i | ||||
\(17\) | 3.16135 | + | 2.03168i | 0.766740 | + | 0.492754i | 0.864609 | − | 0.502446i | \(-0.167566\pi\) |
−0.0978692 | + | 0.995199i | \(0.531203\pi\) | |||||||
\(18\) | −0.142315 | − | 0.989821i | −0.0335439 | − | 0.233303i | ||||
\(19\) | 2.46452 | − | 1.58385i | 0.565399 | − | 0.363360i | −0.226501 | − | 0.974011i | \(-0.572729\pi\) |
0.791900 | + | 0.610651i | \(0.209092\pi\) | |||||||
\(20\) | −0.654861 | − | 0.755750i | −0.146431 | − | 0.168991i | ||||
\(21\) | 0.270724 | − | 0.0794918i | 0.0590769 | − | 0.0173465i | ||||
\(22\) | 1.45657 | 0.310541 | ||||||||
\(23\) | 1.94865 | − | 4.38210i | 0.406321 | − | 0.913730i | ||||
\(24\) | 1.00000 | 0.204124 | ||||||||
\(25\) | −0.959493 | + | 0.281733i | −0.191899 | + | 0.0563465i | ||||
\(26\) | −4.47982 | − | 5.16999i | −0.878565 | − | 1.01392i | ||||
\(27\) | 0.841254 | − | 0.540641i | 0.161899 | − | 0.104046i | ||||
\(28\) | 0.0401546 | + | 0.279282i | 0.00758851 | + | 0.0527793i | ||||
\(29\) | −0.776666 | − | 0.499133i | −0.144223 | − | 0.0926867i | 0.466539 | − | 0.884500i | \(-0.345501\pi\) |
−0.610763 | + | 0.791814i | \(0.709137\pi\) | |||||||
\(30\) | 0.415415 | − | 0.909632i | 0.0758441 | − | 0.166075i | ||||
\(31\) | 2.55288 | − | 2.94618i | 0.458511 | − | 0.529150i | −0.478669 | − | 0.877995i | \(-0.658881\pi\) |
0.937180 | + | 0.348845i | \(0.113426\pi\) | |||||||
\(32\) | −0.142315 | + | 0.989821i | −0.0251579 | + | 0.174977i | ||||
\(33\) | 0.605080 | + | 1.32494i | 0.105331 | + | 0.230642i | ||||
\(34\) | −3.60568 | − | 1.05872i | −0.618369 | − | 0.181570i | ||||
\(35\) | 0.270724 | + | 0.0794918i | 0.0457608 | + | 0.0134366i | ||||
\(36\) | 0.415415 | + | 0.909632i | 0.0692358 | + | 0.151605i | ||||
\(37\) | −0.362593 | + | 2.52189i | −0.0596099 | + | 0.414596i | 0.938066 | + | 0.346457i | \(0.112615\pi\) |
−0.997676 | + | 0.0681393i | \(0.978294\pi\) | |||||||
\(38\) | −1.91846 | + | 2.21403i | −0.311216 | + | 0.359162i | ||||
\(39\) | 2.84180 | − | 6.22268i | 0.455053 | − | 0.996427i | ||||
\(40\) | 0.841254 | + | 0.540641i | 0.133014 | + | 0.0854828i | ||||
\(41\) | −1.56584 | − | 10.8906i | −0.244543 | − | 1.70083i | −0.628768 | − | 0.777593i | \(-0.716441\pi\) |
0.384226 | − | 0.923239i | \(-0.374468\pi\) | |||||||
\(42\) | −0.237363 | + | 0.152544i | −0.0366259 | + | 0.0235380i | ||||
\(43\) | 2.09148 | + | 2.41370i | 0.318948 | + | 0.368086i | 0.892472 | − | 0.451103i | \(-0.148969\pi\) |
−0.573524 | + | 0.819189i | \(0.694424\pi\) | |||||||
\(44\) | −1.39757 | + | 0.410362i | −0.210691 | + | 0.0618644i | ||||
\(45\) | 1.00000 | 0.149071 | ||||||||
\(46\) | −0.635134 | + | 4.75359i | −0.0936454 | + | 0.700878i | ||||
\(47\) | 10.9883 | 1.60280 | 0.801401 | − | 0.598127i | \(-0.204088\pi\) | ||||
0.801401 | + | 0.598127i | \(0.204088\pi\) | |||||||
\(48\) | −0.959493 | + | 0.281733i | −0.138491 | + | 0.0406646i | ||||
\(49\) | 4.53189 | + | 5.23008i | 0.647413 | + | 0.747154i | ||||
\(50\) | 0.841254 | − | 0.540641i | 0.118971 | − | 0.0764582i | ||||
\(51\) | −0.534805 | − | 3.71965i | −0.0748877 | − | 0.520855i | ||||
\(52\) | 5.75491 | + | 3.69846i | 0.798063 | + | 0.512884i | ||||
\(53\) | −0.896767 | + | 1.96365i | −0.123180 | + | 0.269727i | −0.961169 | − | 0.275960i | \(-0.911004\pi\) |
0.837989 | + | 0.545688i | \(0.183731\pi\) | |||||||
\(54\) | −0.654861 | + | 0.755750i | −0.0891153 | + | 0.102844i | ||||
\(55\) | −0.207291 | + | 1.44174i | −0.0279511 | + | 0.194404i | ||||
\(56\) | −0.117211 | − | 0.256656i | −0.0156630 | − | 0.0342971i | ||||
\(57\) | −2.81091 | − | 0.825357i | −0.372314 | − | 0.109321i | ||||
\(58\) | 0.885828 | + | 0.260102i | 0.116315 | + | 0.0341531i | ||||
\(59\) | −1.09762 | − | 2.40345i | −0.142898 | − | 0.312903i | 0.824628 | − | 0.565676i | \(-0.191385\pi\) |
−0.967526 | + | 0.252773i | \(0.918657\pi\) | |||||||
\(60\) | −0.142315 | + | 0.989821i | −0.0183728 | + | 0.127785i | ||||
\(61\) | 6.99617 | − | 8.07400i | 0.895767 | − | 1.03377i | −0.103467 | − | 0.994633i | \(-0.532994\pi\) |
0.999234 | − | 0.0391375i | \(-0.0124610\pi\) | |||||||
\(62\) | −1.61944 | + | 3.54607i | −0.205669 | + | 0.450351i | ||||
\(63\) | −0.237363 | − | 0.152544i | −0.0299049 | − | 0.0192187i | ||||
\(64\) | −0.142315 | − | 0.989821i | −0.0177894 | − | 0.123728i | ||||
\(65\) | 5.75491 | − | 3.69846i | 0.713809 | − | 0.458737i | ||||
\(66\) | −0.953848 | − | 1.10080i | −0.117411 | − | 0.135499i | ||||
\(67\) | 13.2343 | − | 3.88595i | 1.61683 | − | 0.474744i | 0.656666 | − | 0.754181i | \(-0.271966\pi\) |
0.960164 | + | 0.279437i | \(0.0901479\pi\) | |||||||
\(68\) | 3.75790 | 0.455713 | ||||||||
\(69\) | −4.58786 | + | 1.39697i | −0.552314 | + | 0.168176i | ||||
\(70\) | −0.282154 | −0.0337238 | ||||||||
\(71\) | −2.52713 | + | 0.742033i | −0.299915 | + | 0.0880631i | −0.428228 | − | 0.903671i | \(-0.640862\pi\) |
0.128313 | + | 0.991734i | \(0.459044\pi\) | |||||||
\(72\) | −0.654861 | − | 0.755750i | −0.0771761 | − | 0.0890659i | ||||
\(73\) | −3.47667 | + | 2.23432i | −0.406914 | + | 0.261507i | −0.728048 | − | 0.685526i | \(-0.759572\pi\) |
0.321134 | + | 0.947034i | \(0.395936\pi\) | |||||||
\(74\) | −0.362593 | − | 2.52189i | −0.0421506 | − | 0.293164i | ||||
\(75\) | 0.841254 | + | 0.540641i | 0.0971396 | + | 0.0624278i | ||||
\(76\) | 1.21699 | − | 2.66484i | 0.139598 | − | 0.305678i | ||||
\(77\) | 0.269132 | − | 0.310595i | 0.0306704 | − | 0.0353955i | ||||
\(78\) | −0.973558 | + | 6.77125i | −0.110234 | + | 0.766693i | ||||
\(79\) | 2.75667 | + | 6.03626i | 0.310149 | + | 0.679132i | 0.998950 | − | 0.0458187i | \(-0.0145896\pi\) |
−0.688800 | + | 0.724951i | \(0.741862\pi\) | |||||||
\(80\) | −0.959493 | − | 0.281733i | −0.107275 | − | 0.0314987i | ||||
\(81\) | −0.959493 | − | 0.281733i | −0.106610 | − | 0.0313036i | ||||
\(82\) | 4.57066 | + | 10.0083i | 0.504745 | + | 1.10524i | ||||
\(83\) | −0.722593 | + | 5.02574i | −0.0793149 | + | 0.551647i | 0.910957 | + | 0.412501i | \(0.135345\pi\) |
−0.990272 | + | 0.139146i | \(0.955564\pi\) | |||||||
\(84\) | 0.184771 | − | 0.213237i | 0.0201602 | − | 0.0232661i | ||||
\(85\) | 1.56109 | − | 3.41831i | 0.169324 | − | 0.370768i | ||||
\(86\) | −2.68678 | − | 1.72669i | −0.289723 | − | 0.186194i | ||||
\(87\) | 0.131389 | + | 0.913828i | 0.0140863 | + | 0.0979726i | ||||
\(88\) | 1.22534 | − | 0.787479i | 0.130622 | − | 0.0839456i | ||||
\(89\) | 2.50730 | + | 2.89357i | 0.265773 | + | 0.306718i | 0.872912 | − | 0.487877i | \(-0.162229\pi\) |
−0.607140 | + | 0.794595i | \(0.707683\pi\) | |||||||
\(90\) | −0.959493 | + | 0.281733i | −0.101139 | + | 0.0296972i | ||||
\(91\) | −1.93018 | −0.202338 | ||||||||
\(92\) | −0.729834 | − | 4.73997i | −0.0760904 | − | 0.494176i | ||||
\(93\) | −3.89836 | −0.404241 | ||||||||
\(94\) | −10.5432 | + | 3.09575i | −1.08744 | + | 0.319302i | ||||
\(95\) | −1.91846 | − | 2.21403i | −0.196830 | − | 0.227154i | ||||
\(96\) | 0.841254 | − | 0.540641i | 0.0858601 | − | 0.0551789i | ||||
\(97\) | 0.686509 | + | 4.77478i | 0.0697044 | + | 0.484805i | 0.994533 | + | 0.104421i | \(0.0332990\pi\) |
−0.924829 | + | 0.380384i | \(0.875792\pi\) | |||||||
\(98\) | −5.82180 | − | 3.74144i | −0.588091 | − | 0.377943i | ||||
\(99\) | 0.605080 | − | 1.32494i | 0.0608128 | − | 0.133161i | ||||
\(100\) | −0.654861 | + | 0.755750i | −0.0654861 | + | 0.0755750i | ||||
\(101\) | −0.482825 | + | 3.35812i | −0.0480429 | + | 0.334146i | 0.951598 | + | 0.307346i | \(0.0994408\pi\) |
−0.999641 | + | 0.0267999i | \(0.991468\pi\) | |||||||
\(102\) | 1.56109 | + | 3.41831i | 0.154571 | + | 0.338463i | ||||
\(103\) | 7.15522 | + | 2.10096i | 0.705025 | + | 0.207014i | 0.614542 | − | 0.788884i | \(-0.289341\pi\) |
0.0904828 | + | 0.995898i | \(0.471159\pi\) | |||||||
\(104\) | −6.56377 | − | 1.92730i | −0.643631 | − | 0.188987i | ||||
\(105\) | −0.117211 | − | 0.256656i | −0.0114386 | − | 0.0250471i | ||||
\(106\) | 0.307219 | − | 2.13675i | 0.0298397 | − | 0.207540i | ||||
\(107\) | 0.679994 | − | 0.784755i | 0.0657375 | − | 0.0758652i | −0.721928 | − | 0.691968i | \(-0.756744\pi\) |
0.787666 | + | 0.616103i | \(0.211289\pi\) | |||||||
\(108\) | 0.415415 | − | 0.909632i | 0.0399733 | − | 0.0875294i | ||||
\(109\) | 9.59837 | + | 6.16850i | 0.919358 | + | 0.590835i | 0.912471 | − | 0.409141i | \(-0.134172\pi\) |
0.00688638 | + | 0.999976i | \(0.497808\pi\) | |||||||
\(110\) | −0.207291 | − | 1.44174i | −0.0197644 | − | 0.137465i | ||||
\(111\) | 2.14337 | − | 1.37746i | 0.203439 | − | 0.130742i | ||||
\(112\) | 0.184771 | + | 0.213237i | 0.0174592 | + | 0.0201490i | ||||
\(113\) | −5.50858 | + | 1.61747i | −0.518204 | + | 0.152158i | −0.530368 | − | 0.847768i | \(-0.677946\pi\) |
0.0121639 | + | 0.999926i | \(0.496128\pi\) | |||||||
\(114\) | 2.92958 | 0.274380 | ||||||||
\(115\) | −4.61481 | − | 1.30518i | −0.430334 | − | 0.121708i | ||||
\(116\) | −0.923225 | −0.0857193 | ||||||||
\(117\) | −6.56377 | + | 1.92730i | −0.606821 | + | 0.178179i | ||||
\(118\) | 1.73029 | + | 1.99686i | 0.159286 | + | 0.183826i | ||||
\(119\) | −0.891986 | + | 0.573244i | −0.0817682 | + | 0.0525492i | ||||
\(120\) | −0.142315 | − | 0.989821i | −0.0129915 | − | 0.0903579i | ||||
\(121\) | −7.46900 | − | 4.80003i | −0.679000 | − | 0.436367i | ||||
\(122\) | −4.43806 | + | 9.71800i | −0.401803 | + | 0.879826i | ||||
\(123\) | −7.20519 | + | 8.31523i | −0.649670 | + | 0.749759i | ||||
\(124\) | 0.554794 | − | 3.85868i | 0.0498220 | − | 0.346519i | ||||
\(125\) | 0.415415 | + | 0.909632i | 0.0371558 | + | 0.0813600i | ||||
\(126\) | 0.270724 | + | 0.0794918i | 0.0241180 | + | 0.00708170i | ||||
\(127\) | −13.7715 | − | 4.04367i | −1.22202 | − | 0.358817i | −0.393787 | − | 0.919202i | \(-0.628835\pi\) |
−0.828233 | + | 0.560384i | \(0.810653\pi\) | |||||||
\(128\) | 0.415415 | + | 0.909632i | 0.0367178 | + | 0.0804009i | ||||
\(129\) | 0.454523 | − | 3.16128i | 0.0400185 | − | 0.278335i | ||||
\(130\) | −4.47982 | + | 5.16999i | −0.392906 | + | 0.453438i | ||||
\(131\) | 0.0682194 | − | 0.149380i | 0.00596036 | − | 0.0130514i | −0.906628 | − | 0.421930i | \(-0.861353\pi\) |
0.912589 | + | 0.408879i | \(0.134080\pi\) | |||||||
\(132\) | 1.22534 | + | 0.787479i | 0.106652 | + | 0.0685413i | ||||
\(133\) | 0.117636 | + | 0.818177i | 0.0102003 | + | 0.0709449i | ||||
\(134\) | −11.6034 | + | 7.45708i | −1.00238 | + | 0.644194i | ||||
\(135\) | −0.654861 | − | 0.755750i | −0.0563614 | − | 0.0650446i | ||||
\(136\) | −3.60568 | + | 1.05872i | −0.309185 | + | 0.0907848i | ||||
\(137\) | −20.6419 | −1.76355 | −0.881777 | − | 0.471667i | \(-0.843652\pi\) | ||||
−0.881777 | + | 0.471667i | \(0.843652\pi\) | |||||||
\(138\) | 4.00845 | − | 2.63294i | 0.341222 | − | 0.224130i | ||||
\(139\) | 9.96149 | 0.844923 | 0.422461 | − | 0.906381i | \(-0.361166\pi\) | ||||
0.422461 | + | 0.906381i | \(0.361166\pi\) | |||||||
\(140\) | 0.270724 | − | 0.0794918i | 0.0228804 | − | 0.00671829i | ||||
\(141\) | −7.19578 | − | 8.30437i | −0.605994 | − | 0.699354i | ||||
\(142\) | 2.21571 | − | 1.42395i | 0.185938 | − | 0.119495i | ||||
\(143\) | −1.41805 | − | 9.86277i | −0.118584 | − | 0.824767i | ||||
\(144\) | 0.841254 | + | 0.540641i | 0.0701045 | + | 0.0450534i | ||||
\(145\) | −0.383521 | + | 0.839795i | −0.0318497 | + | 0.0697412i | ||||
\(146\) | 2.70636 | − | 3.12331i | 0.223980 | − | 0.258487i | ||||
\(147\) | 0.984874 | − | 6.84995i | 0.0812310 | − | 0.564974i | ||||
\(148\) | 1.05840 | + | 2.31758i | 0.0870003 | + | 0.190504i | ||||
\(149\) | 19.0515 | + | 5.59401i | 1.56076 | + | 0.458279i | 0.944293 | − | 0.329105i | \(-0.106747\pi\) |
0.616463 | + | 0.787384i | \(0.288565\pi\) | |||||||
\(150\) | −0.959493 | − | 0.281733i | −0.0783423 | − | 0.0230034i | ||||
\(151\) | −9.19350 | − | 20.1310i | −0.748157 | − | 1.63823i | −0.769650 | − | 0.638465i | \(-0.779570\pi\) |
0.0214939 | − | 0.999769i | \(-0.493158\pi\) | |||||||
\(152\) | −0.416922 | + | 2.89976i | −0.0338168 | + | 0.235201i | ||||
\(153\) | −2.46090 | + | 2.84003i | −0.198952 | + | 0.229603i | ||||
\(154\) | −0.170725 | + | 0.373836i | −0.0137574 | + | 0.0301246i | ||||
\(155\) | −3.27951 | − | 2.10761i | −0.263416 | − | 0.169287i | ||||
\(156\) | −0.973558 | − | 6.77125i | −0.0779471 | − | 0.542134i | ||||
\(157\) | −15.1306 | + | 9.72386i | −1.20755 | + | 0.776048i | −0.980247 | − | 0.197775i | \(-0.936629\pi\) |
−0.227307 | + | 0.973823i | \(0.572992\pi\) | |||||||
\(158\) | −4.34561 | − | 5.01511i | −0.345719 | − | 0.398980i | ||||
\(159\) | 2.07128 | − | 0.608183i | 0.164263 | − | 0.0482321i | ||||
\(160\) | 1.00000 | 0.0790569 | ||||||||
\(161\) | 0.896289 | + | 1.01376i | 0.0706374 | + | 0.0798956i | ||||
\(162\) | 1.00000 | 0.0785674 | ||||||||
\(163\) | −4.59445 | + | 1.34905i | −0.359865 | + | 0.105666i | −0.456667 | − | 0.889638i | \(-0.650957\pi\) |
0.0968016 | + | 0.995304i | \(0.469139\pi\) | |||||||
\(164\) | −7.20519 | − | 8.31523i | −0.562631 | − | 0.649311i | ||||
\(165\) | 1.22534 | − | 0.787479i | 0.0953927 | − | 0.0613052i | ||||
\(166\) | −0.722593 | − | 5.02574i | −0.0560841 | − | 0.390073i | ||||
\(167\) | −7.12892 | − | 4.58148i | −0.551653 | − | 0.354526i | 0.234928 | − | 0.972013i | \(-0.424514\pi\) |
−0.786581 | + | 0.617487i | \(0.788151\pi\) | |||||||
\(168\) | −0.117211 | + | 0.256656i | −0.00904301 | + | 0.0198014i | ||||
\(169\) | −22.1327 | + | 25.5425i | −1.70252 | + | 1.96481i | ||||
\(170\) | −0.534805 | + | 3.71965i | −0.0410177 | + | 0.285284i | ||||
\(171\) | 1.21699 | + | 2.66484i | 0.0930655 | + | 0.203785i | ||||
\(172\) | 3.06441 | + | 0.899793i | 0.233659 | + | 0.0686086i | ||||
\(173\) | 17.5778 | + | 5.16129i | 1.33641 | + | 0.392406i | 0.870388 | − | 0.492366i | \(-0.163868\pi\) |
0.466024 | + | 0.884772i | \(0.345686\pi\) | |||||||
\(174\) | −0.383521 | − | 0.839795i | −0.0290747 | − | 0.0636647i | ||||
\(175\) | 0.0401546 | − | 0.279282i | 0.00303541 | − | 0.0211117i | ||||
\(176\) | −0.953848 | + | 1.10080i | −0.0718990 | + | 0.0829759i | ||||
\(177\) | −1.09762 | + | 2.40345i | −0.0825021 | + | 0.180654i | ||||
\(178\) | −3.22095 | − | 2.06998i | −0.241420 | − | 0.155151i | ||||
\(179\) | 0.157157 | + | 1.09305i | 0.0117465 | + | 0.0816985i | 0.994851 | − | 0.101344i | \(-0.0323144\pi\) |
−0.983105 | + | 0.183043i | \(0.941405\pi\) | |||||||
\(180\) | 0.841254 | − | 0.540641i | 0.0627033 | − | 0.0402970i | ||||
\(181\) | −6.39736 | − | 7.38295i | −0.475512 | − | 0.548770i | 0.466424 | − | 0.884561i | \(-0.345542\pi\) |
−0.941937 | + | 0.335791i | \(0.890997\pi\) | |||||||
\(182\) | 1.85199 | − | 0.543794i | 0.137279 | − | 0.0403087i | ||||
\(183\) | −10.6834 | −0.789743 | ||||||||
\(184\) | 2.03568 | + | 4.34235i | 0.150072 | + | 0.320122i | ||||
\(185\) | 2.54782 | 0.187320 | ||||||||
\(186\) | 3.74045 | − | 1.09829i | 0.274263 | − | 0.0805308i | ||||
\(187\) | −3.58447 | − | 4.13670i | −0.262122 | − | 0.302505i | ||||
\(188\) | 9.24391 | − | 5.94070i | 0.674182 | − | 0.433270i | ||||
\(189\) | 0.0401546 | + | 0.279282i | 0.00292082 | + | 0.0203148i | ||||
\(190\) | 2.46452 | + | 1.58385i | 0.178795 | + | 0.114904i | ||||
\(191\) | −4.38511 | + | 9.60206i | −0.317296 | + | 0.694780i | −0.999332 | − | 0.0365375i | \(-0.988367\pi\) |
0.682037 | + | 0.731318i | \(0.261094\pi\) | |||||||
\(192\) | −0.654861 | + | 0.755750i | −0.0472605 | + | 0.0545415i | ||||
\(193\) | −0.146114 | + | 1.01624i | −0.0105175 | + | 0.0731509i | −0.994404 | − | 0.105642i | \(-0.966310\pi\) |
0.983887 | + | 0.178793i | \(0.0572193\pi\) | |||||||
\(194\) | −2.00391 | − | 4.38795i | −0.143872 | − | 0.315037i | ||||
\(195\) | −6.56377 | − | 1.92730i | −0.470042 | − | 0.138017i | ||||
\(196\) | 6.64006 | + | 1.94970i | 0.474290 | + | 0.139264i | ||||
\(197\) | 2.64771 | + | 5.79768i | 0.188642 | + | 0.413067i | 0.980196 | − | 0.198032i | \(-0.0634549\pi\) |
−0.791554 | + | 0.611099i | \(0.790728\pi\) | |||||||
\(198\) | −0.207291 | + | 1.44174i | −0.0147315 | + | 0.102460i | ||||
\(199\) | −5.33218 | + | 6.15366i | −0.377988 | + | 0.436222i | −0.912586 | − | 0.408885i | \(-0.865918\pi\) |
0.534598 | + | 0.845107i | \(0.320463\pi\) | |||||||
\(200\) | 0.415415 | − | 0.909632i | 0.0293743 | − | 0.0643207i | ||||
\(201\) | −11.6034 | − | 7.45708i | −0.818444 | − | 0.525982i | ||||
\(202\) | −0.482825 | − | 3.35812i | −0.0339714 | − | 0.236277i | ||||
\(203\) | 0.219139 | − | 0.140832i | 0.0153805 | − | 0.00988448i | ||||
\(204\) | −2.46090 | − | 2.84003i | −0.172298 | − | 0.198842i | ||||
\(205\) | −10.5569 | + | 3.09980i | −0.737329 | + | 0.216499i | ||||
\(206\) | −7.45729 | −0.519574 | ||||||||
\(207\) | 4.06017 | + | 2.55245i | 0.282201 | + | 0.177408i | ||||
\(208\) | 6.84088 | 0.474330 | ||||||||
\(209\) | −4.09427 | + | 1.20219i | −0.283207 | + | 0.0831570i | ||||
\(210\) | 0.184771 | + | 0.213237i | 0.0127504 | + | 0.0147148i | ||||
\(211\) | 15.8791 | − | 10.2049i | 1.09316 | − | 0.702532i | 0.135601 | − | 0.990764i | \(-0.456704\pi\) |
0.957561 | + | 0.288231i | \(0.0930672\pi\) | |||||||
\(212\) | 0.307219 | + | 2.13675i | 0.0210999 | + | 0.146753i | ||||
\(213\) | 2.21571 | + | 1.42395i | 0.151818 | + | 0.0975675i | ||||
\(214\) | −0.431359 | + | 0.944544i | −0.0294871 | + | 0.0645677i | ||||
\(215\) | 2.09148 | − | 2.41370i | 0.142638 | − | 0.164613i | ||||
\(216\) | −0.142315 | + | 0.989821i | −0.00968330 | + | 0.0673488i | ||||
\(217\) | 0.456930 | + | 1.00054i | 0.0310184 | + | 0.0679208i | ||||
\(218\) | −10.9474 | − | 3.21446i | −0.741454 | − | 0.217711i | ||||
\(219\) | 3.96532 | + | 1.16432i | 0.267952 | + | 0.0786777i | ||||
\(220\) | 0.605080 | + | 1.32494i | 0.0407945 | + | 0.0893274i | ||||
\(221\) | −3.65854 | + | 25.4457i | −0.246100 | + | 1.71166i | ||||
\(222\) | −1.66847 | + | 1.92552i | −0.111980 | + | 0.129232i | ||||
\(223\) | 8.46305 | − | 18.5315i | 0.566728 | − | 1.24096i | −0.381793 | − | 0.924248i | \(-0.624693\pi\) |
0.948521 | − | 0.316713i | \(-0.102579\pi\) | |||||||
\(224\) | −0.237363 | − | 0.152544i | −0.0158595 | − | 0.0101923i | ||||
\(225\) | −0.142315 | − | 0.989821i | −0.00948766 | − | 0.0659881i | ||||
\(226\) | 4.82975 | − | 3.10389i | 0.321270 | − | 0.206468i | ||||
\(227\) | 4.85944 | + | 5.60809i | 0.322532 | + | 0.372222i | 0.893742 | − | 0.448582i | \(-0.148071\pi\) |
−0.571209 | + | 0.820805i | \(0.693525\pi\) | |||||||
\(228\) | −2.81091 | + | 0.825357i | −0.186157 | + | 0.0546606i | ||||
\(229\) | −17.4880 | −1.15564 | −0.577818 | − | 0.816165i | \(-0.696096\pi\) | ||||
−0.577818 | + | 0.816165i | \(0.696096\pi\) | |||||||
\(230\) | 4.79559 | − | 0.0478368i | 0.316212 | − | 0.00315426i | ||||
\(231\) | −0.410976 | −0.0270402 | ||||||||
\(232\) | 0.885828 | − | 0.260102i | 0.0581574 | − | 0.0170766i | ||||
\(233\) | 4.60286 | + | 5.31199i | 0.301544 | + | 0.348000i | 0.886218 | − | 0.463268i | \(-0.153323\pi\) |
−0.584675 | + | 0.811268i | \(0.698778\pi\) | |||||||
\(234\) | 5.75491 | − | 3.69846i | 0.376210 | − | 0.241776i | ||||
\(235\) | −1.56379 | − | 10.8764i | −0.102011 | − | 0.709499i | ||||
\(236\) | −2.22278 | − | 1.42849i | −0.144691 | − | 0.0929870i | ||||
\(237\) | 2.75667 | − | 6.03626i | 0.179065 | − | 0.392097i | ||||
\(238\) | 0.694352 | − | 0.801325i | 0.0450082 | − | 0.0519422i | ||||
\(239\) | −0.748544 | + | 5.20624i | −0.0484193 | + | 0.336764i | 0.951185 | + | 0.308622i | \(0.0998679\pi\) |
−0.999604 | + | 0.0281413i | \(0.991041\pi\) | |||||||
\(240\) | 0.415415 | + | 0.909632i | 0.0268149 | + | 0.0587165i | ||||
\(241\) | 18.6608 | + | 5.47930i | 1.20205 | + | 0.352953i | 0.820635 | − | 0.571453i | \(-0.193620\pi\) |
0.381411 | + | 0.924405i | \(0.375438\pi\) | |||||||
\(242\) | 8.51878 | + | 2.50134i | 0.547608 | + | 0.160792i | ||||
\(243\) | 0.415415 | + | 0.909632i | 0.0266489 | + | 0.0583529i | ||||
\(244\) | 1.52041 | − | 10.5747i | 0.0973344 | − | 0.676976i | ||||
\(245\) | 4.53189 | − | 5.23008i | 0.289532 | − | 0.334138i | ||||
\(246\) | 4.57066 | − | 10.0083i | 0.291414 | − | 0.638109i | ||||
\(247\) | 16.8595 | + | 10.8349i | 1.07274 | + | 0.689409i | ||||
\(248\) | 0.554794 | + | 3.85868i | 0.0352295 | + | 0.245026i | ||||
\(249\) | 4.27140 | − | 2.74506i | 0.270689 | − | 0.173961i | ||||
\(250\) | −0.654861 | − | 0.755750i | −0.0414170 | − | 0.0477978i | ||||
\(251\) | −25.7570 | + | 7.56292i | −1.62576 | + | 0.477368i | −0.962560 | − | 0.271070i | \(-0.912622\pi\) |
−0.663205 | + | 0.748438i | \(0.730804\pi\) | |||||||
\(252\) | −0.282154 | −0.0177740 | ||||||||
\(253\) | −4.52161 | + | 5.32462i | −0.284271 | + | 0.334756i | ||||
\(254\) | 14.3529 | 0.900578 | ||||||||
\(255\) | −3.60568 | + | 1.05872i | −0.225796 | + | 0.0662998i | ||||
\(256\) | −0.654861 | − | 0.755750i | −0.0409288 | − | 0.0472343i | ||||
\(257\) | −0.667304 | + | 0.428850i | −0.0416253 | + | 0.0267510i | −0.561288 | − | 0.827621i | \(-0.689694\pi\) |
0.519663 | + | 0.854372i | \(0.326058\pi\) | |||||||
\(258\) | 0.454523 | + | 3.16128i | 0.0282974 | + | 0.196812i | ||||
\(259\) | −0.604758 | − | 0.388655i | −0.0375779 | − | 0.0241498i | ||||
\(260\) | 2.84180 | − | 6.22268i | 0.176241 | − | 0.385914i | ||||
\(261\) | 0.604584 | − | 0.697727i | 0.0374228 | − | 0.0431882i | ||||
\(262\) | −0.0233709 | + | 0.162548i | −0.00144386 | + | 0.0100423i | ||||
\(263\) | −12.6066 | − | 27.6047i | −0.777358 | − | 1.70218i | −0.709738 | − | 0.704465i | \(-0.751187\pi\) |
−0.0676196 | − | 0.997711i | \(-0.521540\pi\) | |||||||
\(264\) | −1.39757 | − | 0.410362i | −0.0860142 | − | 0.0252561i | ||||
\(265\) | 2.07128 | + | 0.608183i | 0.127238 | + | 0.0373604i | ||||
\(266\) | −0.343378 | − | 0.751893i | −0.0210539 | − | 0.0461015i | ||||
\(267\) | 0.544887 | − | 3.78977i | 0.0333466 | − | 0.231930i | ||||
\(268\) | 9.03252 | − | 10.4241i | 0.551749 | − | 0.636752i | ||||
\(269\) | −11.1841 | + | 24.4897i | −0.681906 | + | 1.49317i | 0.178705 | + | 0.983903i | \(0.442809\pi\) |
−0.860611 | + | 0.509263i | \(0.829918\pi\) | |||||||
\(270\) | 0.841254 | + | 0.540641i | 0.0511971 | + | 0.0329024i | ||||
\(271\) | −3.72391 | − | 25.9004i | −0.226211 | − | 1.57333i | −0.713856 | − | 0.700292i | \(-0.753053\pi\) |
0.487645 | − | 0.873042i | \(-0.337856\pi\) | |||||||
\(272\) | 3.16135 | − | 2.03168i | 0.191685 | − | 0.123188i | ||||
\(273\) | 1.26400 | + | 1.45873i | 0.0765006 | + | 0.0882864i | ||||
\(274\) | 19.8057 | − | 5.81549i | 1.19651 | − | 0.351326i | ||||
\(275\) | 1.45657 | 0.0878343 | ||||||||
\(276\) | −3.10429 | + | 3.65559i | −0.186856 | + | 0.220041i | ||||
\(277\) | 7.15030 | 0.429620 | 0.214810 | − | 0.976656i | \(-0.431087\pi\) | ||||
0.214810 | + | 0.976656i | \(0.431087\pi\) | |||||||
\(278\) | −9.55798 | + | 2.80648i | −0.573250 | + | 0.168321i | ||||
\(279\) | 2.55288 | + | 2.94618i | 0.152837 | + | 0.176383i | ||||
\(280\) | −0.237363 | + | 0.152544i | −0.0141851 | + | 0.00911623i | ||||
\(281\) | −2.54015 | − | 17.6671i | −0.151532 | − | 1.05393i | −0.913653 | − | 0.406496i | \(-0.866751\pi\) |
0.762120 | − | 0.647435i | \(-0.224158\pi\) | |||||||
\(282\) | 9.24391 | + | 5.94070i | 0.550467 | + | 0.353764i | ||||
\(283\) | −3.27495 | + | 7.17113i | −0.194675 | + | 0.426279i | −0.981646 | − | 0.190710i | \(-0.938921\pi\) |
0.786971 | + | 0.616990i | \(0.211648\pi\) | |||||||
\(284\) | −1.72479 | + | 1.99051i | −0.102347 | + | 0.118115i | ||||
\(285\) | −0.416922 | + | 2.89976i | −0.0246963 | + | 0.171767i | ||||
\(286\) | 4.13928 | + | 9.06375i | 0.244761 | + | 0.535951i | ||||
\(287\) | 2.97868 | + | 0.874619i | 0.175826 | + | 0.0516271i | ||||
\(288\) | −0.959493 | − | 0.281733i | −0.0565387 | − | 0.0166013i | ||||
\(289\) | −1.19564 | − | 2.61808i | −0.0703315 | − | 0.154005i | ||||
\(290\) | 0.131389 | − | 0.913828i | 0.00771540 | − | 0.0536618i | ||||
\(291\) | 3.15897 | − | 3.64564i | 0.185182 | − | 0.213711i | ||||
\(292\) | −1.71680 | + | 3.75926i | −0.100468 | + | 0.219994i | ||||
\(293\) | 24.9644 | + | 16.0437i | 1.45844 | + | 0.937281i | 0.998790 | + | 0.0491788i | \(0.0156604\pi\) |
0.459647 | + | 0.888102i | \(0.347976\pi\) | |||||||
\(294\) | 0.984874 | + | 6.84995i | 0.0574390 | + | 0.399497i | ||||
\(295\) | −2.22278 | + | 1.42849i | −0.129415 | + | 0.0831701i | ||||
\(296\) | −1.66847 | − | 1.92552i | −0.0969778 | − | 0.111918i | ||||
\(297\) | −1.39757 | + | 0.410362i | −0.0810950 | + | 0.0238116i | ||||
\(298\) | −19.8558 | −1.15021 | ||||||||
\(299\) | 32.8061 | − | 0.327246i | 1.89722 | − | 0.0189251i | ||||
\(300\) | 1.00000 | 0.0577350 | ||||||||
\(301\) | −0.864635 | + | 0.253880i | −0.0498368 | + | 0.0146334i | ||||
\(302\) | 14.4926 | + | 16.7254i | 0.833958 | + | 0.962439i | ||||
\(303\) | 2.85408 | − | 1.83421i | 0.163963 | − | 0.105372i | ||||
\(304\) | −0.416922 | − | 2.89976i | −0.0239121 | − | 0.166312i | ||||
\(305\) | −8.98748 | − | 5.77590i | −0.514622 | − | 0.330727i | ||||
\(306\) | 1.56109 | − | 3.41831i | 0.0892415 | − | 0.195412i | ||||
\(307\) | −11.7834 | + | 13.5988i | −0.672514 | + | 0.776122i | −0.984767 | − | 0.173877i | \(-0.944371\pi\) |
0.312254 | + | 0.949999i | \(0.398916\pi\) | |||||||
\(308\) | 0.0584879 | − | 0.406792i | 0.00333266 | − | 0.0231791i | ||||
\(309\) | −3.09787 | − | 6.78339i | −0.176232 | − | 0.385894i | ||||
\(310\) | 3.74045 | + | 1.09829i | 0.212443 | + | 0.0623789i | ||||
\(311\) | 30.3197 | + | 8.90267i | 1.71927 | + | 0.504824i | 0.984782 | − | 0.173794i | \(-0.0556028\pi\) |
0.734491 | + | 0.678618i | \(0.237421\pi\) | |||||||
\(312\) | 2.84180 | + | 6.22268i | 0.160885 | + | 0.352290i | ||||
\(313\) | −0.417265 | + | 2.90214i | −0.0235852 | + | 0.164039i | −0.998210 | − | 0.0598060i | \(-0.980952\pi\) |
0.974625 | + | 0.223845i | \(0.0718609\pi\) | |||||||
\(314\) | 11.7782 | − | 13.5928i | 0.664682 | − | 0.767084i | ||||
\(315\) | −0.117211 | + | 0.256656i | −0.00660408 | + | 0.0144609i | ||||
\(316\) | 5.58251 | + | 3.58766i | 0.314040 | + | 0.201822i | ||||
\(317\) | 1.34567 | + | 9.35936i | 0.0755805 | + | 0.525674i | 0.992077 | + | 0.125631i | \(0.0400956\pi\) |
−0.916497 | + | 0.400043i | \(0.868995\pi\) | |||||||
\(318\) | −1.81603 | + | 1.16709i | −0.101838 | + | 0.0654474i | ||||
\(319\) | 0.880616 | + | 1.01629i | 0.0493050 | + | 0.0569011i | ||||
\(320\) | −0.959493 | + | 0.281733i | −0.0536373 | + | 0.0157493i | ||||
\(321\) | −1.03838 | −0.0579567 | ||||||||
\(322\) | −1.14559 | − | 0.720183i | −0.0638414 | − | 0.0401342i | ||||
\(323\) | 11.0091 | 0.612560 | ||||||||
\(324\) | −0.959493 | + | 0.281733i | −0.0533052 | + | 0.0156518i | ||||
\(325\) | −4.47982 | − | 5.16999i | −0.248496 | − | 0.286779i | ||||
\(326\) | 4.02827 | − | 2.58881i | 0.223105 | − | 0.143381i | ||||
\(327\) | −1.62376 | − | 11.2935i | −0.0897940 | − | 0.624531i | ||||
\(328\) | 9.25600 | + | 5.94847i | 0.511077 | + | 0.328449i | ||||
\(329\) | −1.28794 | + | 2.82020i | −0.0710066 | + | 0.155483i | ||||
\(330\) | −0.953848 | + | 1.10080i | −0.0525076 | + | 0.0605970i | ||||
\(331\) | −2.58079 | + | 17.9498i | −0.141853 | + | 0.986610i | 0.787209 | + | 0.616686i | \(0.211525\pi\) |
−0.929062 | + | 0.369924i | \(0.879384\pi\) | |||||||
\(332\) | 2.10924 | + | 4.61859i | 0.115760 | + | 0.253478i | ||||
\(333\) | −2.44462 | − | 0.717805i | −0.133964 | − | 0.0393355i | ||||
\(334\) | 8.13091 | + | 2.38745i | 0.444903 | + | 0.130635i | ||||
\(335\) | −5.72984 | − | 12.5466i | −0.313054 | − | 0.685494i | ||||
\(336\) | 0.0401546 | − | 0.279282i | 0.00219062 | − | 0.0152361i | ||||
\(337\) | 11.5503 | − | 13.3298i | 0.629185 | − | 0.726118i | −0.348239 | − | 0.937406i | \(-0.613220\pi\) |
0.977424 | + | 0.211288i | \(0.0677657\pi\) | |||||||
\(338\) | 14.0400 | − | 30.7434i | 0.763677 | − | 1.67222i | ||||
\(339\) | 4.82975 | + | 3.10389i | 0.262316 | + | 0.168580i | ||||
\(340\) | −0.534805 | − | 3.71965i | −0.0290039 | − | 0.201726i | ||||
\(341\) | −4.77682 | + | 3.06988i | −0.258679 | + | 0.166243i | ||||
\(342\) | −1.91846 | − | 2.21403i | −0.103739 | − | 0.119721i | ||||
\(343\) | −3.76859 | + | 1.10656i | −0.203485 | + | 0.0597485i | ||||
\(344\) | −3.19378 | −0.172197 | ||||||||
\(345\) | 2.03568 | + | 4.34235i | 0.109597 | + | 0.233784i | ||||
\(346\) | −18.3198 | −0.984880 | ||||||||
\(347\) | −5.97284 | + | 1.75378i | −0.320639 | + | 0.0941480i | −0.438091 | − | 0.898930i | \(-0.644345\pi\) |
0.117453 | + | 0.993078i | \(0.462527\pi\) | |||||||
\(348\) | 0.604584 | + | 0.697727i | 0.0324091 | + | 0.0374021i | ||||
\(349\) | −5.54950 | + | 3.56645i | −0.297058 | + | 0.190908i | −0.680677 | − | 0.732584i | \(-0.738314\pi\) |
0.383619 | + | 0.923492i | \(0.374678\pi\) | |||||||
\(350\) | 0.0401546 | + | 0.279282i | 0.00214636 | + | 0.0149282i | ||||
\(351\) | 5.75491 | + | 3.69846i | 0.307175 | + | 0.197409i | ||||
\(352\) | 0.605080 | − | 1.32494i | 0.0322509 | − | 0.0706195i | ||||
\(353\) | 15.4227 | − | 17.7987i | 0.820866 | − | 0.947330i | −0.178463 | − | 0.983947i | \(-0.557113\pi\) |
0.999329 | + | 0.0366164i | \(0.0116580\pi\) | |||||||
\(354\) | 0.376027 | − | 2.61533i | 0.0199856 | − | 0.139003i | ||||
\(355\) | 1.09413 | + | 2.39581i | 0.0580703 | + | 0.127156i | ||||
\(356\) | 3.67365 | + | 1.07868i | 0.194703 | + | 0.0571700i | ||||
\(357\) | 1.01736 | + | 0.298723i | 0.0538442 | + | 0.0158101i | ||||
\(358\) | −0.458739 | − | 1.00450i | −0.0242451 | − | 0.0530894i | ||||
\(359\) | −2.54832 | + | 17.7239i | −0.134495 | + | 0.935433i | 0.805099 | + | 0.593141i | \(0.202112\pi\) |
−0.939594 | + | 0.342292i | \(0.888797\pi\) | |||||||
\(360\) | −0.654861 | + | 0.755750i | −0.0345142 | + | 0.0398315i | ||||
\(361\) | −4.32762 | + | 9.47617i | −0.227770 | + | 0.498746i | ||||
\(362\) | 8.21824 | + | 5.28154i | 0.431941 | + | 0.277592i | ||||
\(363\) | 1.26353 | + | 8.78804i | 0.0663181 | + | 0.461253i | ||||
\(364\) | −1.62377 | + | 1.04353i | −0.0851086 | + | 0.0546960i | ||||
\(365\) | 2.70636 | + | 3.12331i | 0.141657 | + | 0.163481i | ||||
\(366\) | 10.2507 | − | 3.00987i | 0.535812 | − | 0.157329i | ||||
\(367\) | −19.6644 | −1.02647 | −0.513237 | − | 0.858247i | \(-0.671554\pi\) | ||||
−0.513237 | + | 0.858247i | \(0.671554\pi\) | |||||||
\(368\) | −3.17660 | − | 3.59294i | −0.165592 | − | 0.187295i | ||||
\(369\) | 11.0026 | 0.572774 | ||||||||
\(370\) | −2.44462 | + | 0.717805i | −0.127090 | + | 0.0373169i | ||||
\(371\) | −0.398870 | − | 0.460321i | −0.0207083 | − | 0.0238987i | ||||
\(372\) | −3.27951 | + | 2.10761i | −0.170035 | + | 0.109275i | ||||
\(373\) | −2.99771 | − | 20.8495i | −0.155215 | − | 1.07955i | −0.907301 | − | 0.420482i | \(-0.861861\pi\) |
0.752086 | − | 0.659065i | \(-0.229048\pi\) | |||||||
\(374\) | 4.60471 | + | 2.95927i | 0.238104 | + | 0.153020i | ||||
\(375\) | 0.415415 | − | 0.909632i | 0.0214519 | − | 0.0469732i | ||||
\(376\) | −7.19578 | + | 8.30437i | −0.371094 | + | 0.428265i | ||||
\(377\) | 0.898813 | − | 6.25138i | 0.0462912 | − | 0.321963i | ||||
\(378\) | −0.117211 | − | 0.256656i | −0.00602867 | − | 0.0132010i | ||||
\(379\) | 13.2968 | + | 3.90430i | 0.683013 | + | 0.200551i | 0.604790 | − | 0.796385i | \(-0.293257\pi\) |
0.0782231 | + | 0.996936i | \(0.475075\pi\) | |||||||
\(380\) | −2.81091 | − | 0.825357i | −0.144196 | − | 0.0423399i | ||||
\(381\) | 5.96239 | + | 13.0558i | 0.305463 | + | 0.668870i | ||||
\(382\) | 1.50227 | − | 10.4485i | 0.0768630 | − | 0.534594i | ||||
\(383\) | −5.20951 | + | 6.01210i | −0.266194 | + | 0.307204i | −0.873072 | − | 0.487591i | \(-0.837876\pi\) |
0.606879 | + | 0.794794i | \(0.292421\pi\) | |||||||
\(384\) | 0.415415 | − | 0.909632i | 0.0211991 | − | 0.0464195i | ||||
\(385\) | −0.345735 | − | 0.222190i | −0.0176203 | − | 0.0113239i | ||||
\(386\) | −0.146114 | − | 1.01624i | −0.00743700 | − | 0.0517255i | ||||
\(387\) | −2.68678 | + | 1.72669i | −0.136577 | + | 0.0877726i | ||||
\(388\) | 3.15897 | + | 3.64564i | 0.160372 | + | 0.185079i | ||||
\(389\) | 19.4781 | − | 5.71928i | 0.987578 | − | 0.289979i | 0.252229 | − | 0.967668i | \(-0.418836\pi\) |
0.735349 | + | 0.677689i | \(0.237018\pi\) | |||||||
\(390\) | 6.84088 | 0.346401 | ||||||||
\(391\) | 15.0634 | − | 9.89432i | 0.761786 | − | 0.500377i | ||||
\(392\) | −6.92039 | −0.349532 | ||||||||
\(393\) | −0.157568 | + | 0.0462661i | −0.00794825 | + | 0.00233382i | ||||
\(394\) | −4.17385 | − | 4.81688i | −0.210276 | − | 0.242671i | ||||
\(395\) | 5.58251 | − | 3.58766i | 0.280886 | − | 0.180515i | ||||
\(396\) | −0.207291 | − | 1.44174i | −0.0104168 | − | 0.0724502i | ||||
\(397\) | −28.9534 | − | 18.6073i | −1.45313 | − | 0.933871i | −0.999080 | − | 0.0428962i | \(-0.986342\pi\) |
−0.454052 | − | 0.890975i | \(-0.650022\pi\) | |||||||
\(398\) | 3.38250 | − | 7.40665i | 0.169550 | − | 0.371262i | ||||
\(399\) | 0.541301 | − | 0.624695i | 0.0270990 | − | 0.0312739i | ||||
\(400\) | −0.142315 | + | 0.989821i | −0.00711574 | + | 0.0494911i | ||||
\(401\) | 9.48035 | + | 20.7591i | 0.473426 | + | 1.03666i | 0.984219 | + | 0.176955i | \(0.0566246\pi\) |
−0.510793 | + | 0.859704i | \(0.670648\pi\) | |||||||
\(402\) | 13.2343 | + | 3.88595i | 0.660068 | + | 0.193814i | ||||
\(403\) | 25.5879 | + | 7.51330i | 1.27463 | + | 0.374264i | ||||
\(404\) | 1.40936 | + | 3.08607i | 0.0701182 | + | 0.153538i | ||||
\(405\) | −0.142315 | + | 0.989821i | −0.00707168 | + | 0.0491846i | ||||
\(406\) | −0.170585 | + | 0.196866i | −0.00846601 | + | 0.00977030i | ||||
\(407\) | 1.54164 | − | 3.37571i | 0.0764161 | − | 0.167328i | ||||
\(408\) | 3.16135 | + | 2.03168i | 0.156510 | + | 0.100583i | ||||
\(409\) | −3.83749 | − | 26.6903i | −0.189752 | − | 1.31975i | −0.832650 | − | 0.553800i | \(-0.813177\pi\) |
0.642898 | − | 0.765952i | \(-0.277732\pi\) | |||||||
\(410\) | 9.25600 | − | 5.94847i | 0.457121 | − | 0.293774i | ||||
\(411\) | 13.5175 | + | 15.6001i | 0.666771 | + | 0.769495i | ||||
\(412\) | 7.15522 | − | 2.10096i | 0.352512 | − | 0.103507i | ||||
\(413\) | 0.745512 | 0.0366843 | ||||||||
\(414\) | −4.61481 | − | 1.30518i | −0.226806 | − | 0.0641459i | ||||
\(415\) | 5.07743 | 0.249241 | ||||||||
\(416\) | −6.56377 | + | 1.92730i | −0.321816 | + | 0.0944936i | ||||
\(417\) | −6.52339 | − | 7.52839i | −0.319452 | − | 0.368667i | ||||
\(418\) | 3.58973 | − | 2.30698i | 0.175579 | − | 0.112838i | ||||
\(419\) | −2.61432 | − | 18.1830i | −0.127718 | − | 0.888297i | −0.948437 | − | 0.316965i | \(-0.897336\pi\) |
0.820719 | − | 0.571332i | \(-0.193573\pi\) | |||||||
\(420\) | −0.237363 | − | 0.152544i | −0.0115821 | − | 0.00744337i | ||||
\(421\) | 10.6849 | − | 23.3966i | 0.520749 | − | 1.14028i | −0.448406 | − | 0.893830i | \(-0.648008\pi\) |
0.969155 | − | 0.246451i | \(-0.0792645\pi\) | |||||||
\(422\) | −12.3608 | + | 14.2652i | −0.601716 | + | 0.694417i | ||||
\(423\) | −1.56379 | + | 10.8764i | −0.0760342 | + | 0.528829i | ||||
\(424\) | −0.896767 | − | 1.96365i | −0.0435508 | − | 0.0953630i | ||||
\(425\) | −3.60568 | − | 1.05872i | −0.174901 | − | 0.0513556i | ||||
\(426\) | −2.52713 | − | 0.742033i | −0.122440 | − | 0.0359516i | ||||
\(427\) | 1.25221 | + | 2.74197i | 0.0605989 | + | 0.132693i | ||||
\(428\) | 0.147777 | − | 1.02781i | 0.00714307 | − | 0.0496811i | ||||
\(429\) | −6.52516 | + | 7.53044i | −0.315038 | + | 0.363573i | ||||
\(430\) | −1.32675 | + | 2.90517i | −0.0639814 | + | 0.140100i | ||||
\(431\) | −9.30161 | − | 5.97778i | −0.448043 | − | 0.287940i | 0.297098 | − | 0.954847i | \(-0.403981\pi\) |
−0.745141 | + | 0.666907i | \(0.767618\pi\) | |||||||
\(432\) | −0.142315 | − | 0.989821i | −0.00684713 | − | 0.0476228i | ||||
\(433\) | −32.1362 | + | 20.6527i | −1.54437 | + | 0.992504i | −0.557646 | + | 0.830079i | \(0.688295\pi\) |
−0.986721 | + | 0.162426i | \(0.948068\pi\) | |||||||
\(434\) | −0.720305 | − | 0.831276i | −0.0345757 | − | 0.0399025i | ||||
\(435\) | 0.885828 | − | 0.260102i | 0.0424722 | − | 0.0124710i | ||||
\(436\) | 11.4096 | 0.546421 | ||||||||
\(437\) | −2.13810 | − | 13.8861i | −0.102279 | − | 0.664263i | ||||
\(438\) | −4.13273 | −0.197469 | ||||||||
\(439\) | −20.9948 | + | 6.16464i | −1.00203 | + | 0.294222i | −0.741288 | − | 0.671187i | \(-0.765785\pi\) |
−0.260740 | + | 0.965409i | \(0.583967\pi\) | |||||||
\(440\) | −0.953848 | − | 1.10080i | −0.0454729 | − | 0.0524786i | ||||
\(441\) | −5.82180 | + | 3.74144i | −0.277229 | + | 0.178164i | ||||
\(442\) | −3.65854 | − | 25.4457i | −0.174019 | − | 1.21033i | ||||
\(443\) | 16.1353 | + | 10.3696i | 0.766613 | + | 0.492672i | 0.864566 | − | 0.502519i | \(-0.167593\pi\) |
−0.0979533 | + | 0.995191i | \(0.531230\pi\) | |||||||
\(444\) | 1.05840 | − | 2.31758i | 0.0502296 | − | 0.109988i | ||||
\(445\) | 2.50730 | − | 2.89357i | 0.118857 | − | 0.137169i | ||||
\(446\) | −2.89931 | + | 20.1652i | −0.137286 | + | 0.954848i | ||||
\(447\) | −8.24838 | − | 18.0614i | −0.390135 | − | 0.854276i | ||||
\(448\) | 0.270724 | + | 0.0794918i | 0.0127905 | + | 0.00375564i | ||||
\(449\) | 21.5909 | + | 6.33967i | 1.01894 | + | 0.299188i | 0.748206 | − | 0.663467i | \(-0.230916\pi\) |
0.270734 | + | 0.962654i | \(0.412734\pi\) | |||||||
\(450\) | 0.415415 | + | 0.909632i | 0.0195829 | + | 0.0428805i | ||||
\(451\) | −2.28075 | + | 15.8629i | −0.107396 | + | 0.746957i | ||||
\(452\) | −3.75965 | + | 4.33886i | −0.176839 | + | 0.204083i | ||||
\(453\) | −9.19350 | + | 20.1310i | −0.431948 | + | 0.945835i | ||||
\(454\) | −6.24258 | − | 4.01186i | −0.292979 | − | 0.188286i | ||||
\(455\) | 0.274693 | + | 1.91053i | 0.0128778 | + | 0.0895671i | ||||
\(456\) | 2.46452 | − | 1.58385i | 0.115412 | − | 0.0741705i | ||||
\(457\) | 10.6503 | + | 12.2911i | 0.498201 | + | 0.574955i | 0.948038 | − | 0.318156i | \(-0.103063\pi\) |
−0.449837 | + | 0.893111i | \(0.648518\pi\) | |||||||
\(458\) | 16.7796 | − | 4.92693i | 0.784058 | − | 0.230220i | ||||
\(459\) | 3.75790 | 0.175404 | ||||||||
\(460\) | −4.58786 | + | 1.39697i | −0.213910 | + | 0.0651342i | ||||
\(461\) | −23.1320 | −1.07737 | −0.538683 | − | 0.842509i | \(-0.681078\pi\) | ||||
−0.538683 | + | 0.842509i | \(0.681078\pi\) | |||||||
\(462\) | 0.394328 | − | 0.115785i | 0.0183458 | − | 0.00538681i | ||||
\(463\) | −11.8052 | − | 13.6239i | −0.548634 | − | 0.633157i | 0.411930 | − | 0.911215i | \(-0.364855\pi\) |
−0.960564 | + | 0.278058i | \(0.910309\pi\) | |||||||
\(464\) | −0.776666 | + | 0.499133i | −0.0360558 | + | 0.0231717i | ||||
\(465\) | 0.554794 | + | 3.85868i | 0.0257280 | + | 0.178942i | ||||
\(466\) | −5.91297 | − | 3.80004i | −0.273913 | − | 0.176033i | ||||
\(467\) | −12.1233 | + | 26.5462i | −0.560998 | + | 1.22841i | 0.390456 | + | 0.920622i | \(0.372317\pi\) |
−0.951454 | + | 0.307792i | \(0.900410\pi\) | |||||||
\(468\) | −4.47982 | + | 5.16999i | −0.207080 | + | 0.238983i | ||||
\(469\) | −0.553855 | + | 3.85214i | −0.0255746 | + | 0.177875i | ||||
\(470\) | 4.56469 | + | 9.99527i | 0.210553 | + | 0.461048i | ||||
\(471\) | 17.2572 | + | 5.06719i | 0.795172 | + | 0.233484i | ||||
\(472\) | 2.53519 | + | 0.744400i | 0.116692 | + | 0.0342638i | ||||
\(473\) | −1.93249 | − | 4.23157i | −0.0888562 | − | 0.194568i | ||||
\(474\) | −0.944392 | + | 6.56839i | −0.0433774 | + | 0.301696i | ||||
\(475\) | −1.91846 | + | 2.21403i | −0.0880252 | + | 0.101586i | ||||
\(476\) | −0.440467 | + | 0.964488i | −0.0201888 | + | 0.0442072i | ||||
\(477\) | −1.81603 | − | 1.16709i | −0.0831505 | − | 0.0534376i | ||||
\(478\) | −0.748544 | − | 5.20624i | −0.0342376 | − | 0.238128i | ||||
\(479\) | 9.49229 | − | 6.10032i | 0.433714 | − | 0.278731i | −0.305513 | − | 0.952188i | \(-0.598828\pi\) |
0.739226 | + | 0.673457i | \(0.235191\pi\) | |||||||
\(480\) | −0.654861 | − | 0.755750i | −0.0298902 | − | 0.0344951i | ||||
\(481\) | −16.7233 | + | 4.91042i | −0.762519 | + | 0.223896i | ||||
\(482\) | −19.4486 | −0.885859 | ||||||||
\(483\) | 0.179205 | − | 1.34124i | 0.00815413 | − | 0.0610286i | ||||
\(484\) | −8.87841 | −0.403564 | ||||||||
\(485\) | 4.62848 | − | 1.35904i | 0.210168 | − | 0.0617110i | ||||
\(486\) | −0.654861 | − | 0.755750i | −0.0297051 | − | 0.0342815i | ||||
\(487\) | 29.7797 | − | 19.1383i | 1.34945 | − | 0.867238i | 0.351820 | − | 0.936068i | \(-0.385563\pi\) |
0.997628 | + | 0.0688301i | \(0.0219266\pi\) | |||||||
\(488\) | 1.52041 | + | 10.5747i | 0.0688258 | + | 0.478694i | ||||
\(489\) | 4.02827 | + | 2.58881i | 0.182165 | + | 0.117070i | ||||
\(490\) | −2.87483 | + | 6.29501i | −0.129872 | + | 0.284379i | ||||
\(491\) | −8.70307 | + | 10.0439i | −0.392764 | + | 0.453274i | −0.917349 | − | 0.398084i | \(-0.869675\pi\) |
0.524585 | + | 0.851358i | \(0.324221\pi\) | |||||||
\(492\) | −1.56584 | + | 10.8906i | −0.0705934 | + | 0.490988i | ||||
\(493\) | −1.44124 | − | 3.15587i | −0.0649100 | − | 0.142133i | ||||
\(494\) | −19.2291 | − | 5.64616i | −0.865157 | − | 0.254033i | ||||
\(495\) | −1.39757 | − | 0.410362i | −0.0628159 | − | 0.0184444i | ||||
\(496\) | −1.61944 | − | 3.54607i | −0.0727148 | − | 0.159223i | ||||
\(497\) | 0.105760 | − | 0.735578i | 0.00474399 | − | 0.0329952i | ||||
\(498\) | −3.32501 | + | 3.83726i | −0.148997 | + | 0.171952i | ||||
\(499\) | 2.26974 | − | 4.97004i | 0.101608 | − | 0.222489i | −0.852000 | − | 0.523541i | \(-0.824611\pi\) |
0.953608 | + | 0.301052i | \(0.0973378\pi\) | |||||||
\(500\) | 0.841254 | + | 0.540641i | 0.0376220 | + | 0.0241782i | ||||
\(501\) | 1.20600 | + | 8.38791i | 0.0538801 | + | 0.374744i | ||||
\(502\) | 22.5829 | − | 14.5131i | 1.00792 | − | 0.647753i | ||||
\(503\) | −22.6596 | − | 26.1506i | −1.01034 | − | 1.16600i | −0.986077 | − | 0.166291i | \(-0.946821\pi\) |
−0.0242653 | − | 0.999706i | \(-0.507725\pi\) | |||||||
\(504\) | 0.270724 | − | 0.0794918i | 0.0120590 | − | 0.00354085i | ||||
\(505\) | 3.39265 | 0.150971 | ||||||||
\(506\) | 2.83833 | − | 6.38282i | 0.126179 | − | 0.283751i | ||||
\(507\) | 33.7976 | 1.50100 | ||||||||
\(508\) | −13.7715 | + | 4.04367i | −0.611010 | + | 0.179409i | ||||
\(509\) | −20.8599 | − | 24.0736i | −0.924597 | − | 1.06704i | −0.997567 | − | 0.0697076i | \(-0.977793\pi\) |
0.0729706 | − | 0.997334i | \(-0.476752\pi\) | |||||||
\(510\) | 3.16135 | − | 2.03168i | 0.139987 | − | 0.0899641i | ||||
\(511\) | −0.165948 | − | 1.15419i | −0.00734112 | − | 0.0510586i | ||||
\(512\) | 0.841254 | + | 0.540641i | 0.0371785 | + | 0.0238932i | ||||
\(513\) | 1.21699 | − | 2.66484i | 0.0537314 | − | 0.117655i | ||||
\(514\) | 0.519453 | − | 0.599480i | 0.0229121 | − | 0.0264419i | ||||
\(515\) | 1.06128 | − | 7.38139i | 0.0467657 | − | 0.325263i | ||||
\(516\) | −1.32675 | − | 2.90517i | −0.0584067 | − | 0.127893i | ||||
\(517\) | −15.3568 | − | 4.50917i | −0.675392 | − | 0.198313i | ||||
\(518\) | 0.689758 | + | 0.202531i | 0.0303062 | + | 0.00889871i | ||||
\(519\) | −7.61033 | − | 16.6643i | −0.334057 | − | 0.731482i | ||||
\(520\) | −0.973558 | + | 6.77125i | −0.0426934 | + | 0.296939i | ||||
\(521\) | −18.3923 | + | 21.2259i | −0.805782 | + | 0.929922i | −0.998684 | − | 0.0512958i | \(-0.983665\pi\) |
0.192901 | + | 0.981218i | \(0.438210\pi\) | |||||||
\(522\) | −0.383521 | + | 0.839795i | −0.0167863 | + | 0.0367568i | ||||
\(523\) | −5.84185 | − | 3.75433i | −0.255446 | − | 0.164165i | 0.406650 | − | 0.913584i | \(-0.366697\pi\) |
−0.662096 | + | 0.749419i | \(0.730333\pi\) | |||||||
\(524\) | −0.0233709 | − | 0.162548i | −0.00102096 | − | 0.00710096i | ||||
\(525\) | −0.237363 | + | 0.152544i | −0.0103594 | + | 0.00665755i | ||||
\(526\) | 19.8731 | + | 22.9348i | 0.866508 | + | 1.00000i | ||||
\(527\) | 14.0562 | − | 4.12728i | 0.612299 | − | 0.179787i | ||||
\(528\) | 1.45657 | 0.0633889 | ||||||||
\(529\) | −15.4055 | − | 17.0783i | −0.669806 | − | 0.742536i | ||||
\(530\) | −2.15872 | −0.0937690 | ||||||||
\(531\) | 2.53519 | − | 0.744400i | 0.110018 | − | 0.0323042i | ||||
\(532\) | 0.541301 | + | 0.624695i | 0.0234684 | + | 0.0270840i | ||||
\(533\) | 63.3192 | − | 40.6928i | 2.74266 | − | 1.76260i | ||||
\(534\) | 0.544887 | + | 3.78977i | 0.0235796 | + | 0.164000i | ||||
\(535\) | −0.873541 | − | 0.561391i | −0.0377665 | − | 0.0242710i | ||||
\(536\) | −5.72984 | + | 12.5466i | −0.247491 | + | 0.541930i | ||||
\(537\) | 0.723157 | − | 0.834568i | 0.0312065 | − | 0.0360143i | ||||
\(538\) | 3.83150 | − | 26.6487i | 0.165188 | − | 1.14891i | ||||
\(539\) | −4.18739 | − | 9.16910i | −0.180364 | − | 0.394941i | ||||
\(540\) | −0.959493 | − | 0.281733i | −0.0412900 | − | 0.0121238i | ||||
\(541\) | 18.9307 | + | 5.55855i | 0.813894 | + | 0.238981i | 0.662085 | − | 0.749429i | \(-0.269672\pi\) |
0.151809 | + | 0.988410i | \(0.451490\pi\) | |||||||
\(542\) | 10.8700 | + | 23.8021i | 0.466908 | + | 1.02239i | ||||
\(543\) | −1.39028 | + | 9.66961i | −0.0596626 | + | 0.414963i | ||||
\(544\) | −2.46090 | + | 2.84003i | −0.105510 | + | 0.121765i | ||||
\(545\) | 4.73972 | − | 10.3785i | 0.203027 | − | 0.444568i | ||||
\(546\) | −1.62377 | − | 1.04353i | −0.0694909 | − | 0.0446591i | ||||
\(547\) | −3.86900 | − | 26.9095i | −0.165426 | − | 1.15057i | −0.888192 | − | 0.459473i | \(-0.848038\pi\) |
0.722765 | − | 0.691093i | \(-0.242871\pi\) | |||||||
\(548\) | −17.3650 | + | 11.1598i | −0.741798 | + | 0.476725i | ||||
\(549\) | 6.99617 | + | 8.07400i | 0.298589 | + | 0.344590i | ||||
\(550\) | −1.39757 | + | 0.410362i | −0.0595924 | + | 0.0174979i | ||||
\(551\) | −2.70466 | −0.115222 | ||||||||
\(552\) | 1.94865 | − | 4.38210i | 0.0829399 | − | 0.186514i | ||||
\(553\) | −1.87235 | −0.0796206 | ||||||||
\(554\) | −6.86066 | + | 2.01447i | −0.291481 | + | 0.0855867i | ||||
\(555\) | −1.66847 | − | 1.92552i | −0.0708226 | − | 0.0817336i | ||||
\(556\) | 8.38014 | − | 5.38559i | 0.355397 | − | 0.228400i | ||||
\(557\) | −2.58240 | − | 17.9610i | −0.109420 | − | 0.761030i | −0.968468 | − | 0.249136i | \(-0.919853\pi\) |
0.859049 | − | 0.511894i | \(-0.171056\pi\) | |||||||
\(558\) | −3.27951 | − | 2.10761i | −0.138833 | − | 0.0892223i | ||||
\(559\) | −9.07611 | + | 19.8739i | −0.383878 | + | 0.840577i | ||||
\(560\) | 0.184771 | − | 0.213237i | 0.00780801 | − | 0.00901093i | ||||
\(561\) | −0.778979 | + | 5.41792i | −0.0328885 | + | 0.228745i | ||||
\(562\) | 7.41465 | + | 16.2358i | 0.312768 | + | 0.684867i | ||||
\(563\) | −45.0754 | − | 13.2353i | −1.89970 | − | 0.557803i | −0.989691 | − | 0.143216i | \(-0.954256\pi\) |
−0.910010 | − | 0.414586i | \(-0.863926\pi\) | |||||||
\(564\) | −10.5432 | − | 3.09575i | −0.443947 | − | 0.130355i | ||||
\(565\) | 2.38496 | + | 5.22232i | 0.100336 | + | 0.219705i | ||||
\(566\) | 1.12195 | − | 7.80331i | 0.0471589 | − | 0.327998i | ||||
\(567\) | 0.184771 | − | 0.213237i | 0.00775967 | − | 0.00895513i | ||||
\(568\) | 1.09413 | − | 2.39581i | 0.0459086 | − | 0.100526i | ||||
\(569\) | −6.21297 | − | 3.99284i | −0.260461 | − | 0.167388i | 0.403893 | − | 0.914806i | \(-0.367657\pi\) |
−0.664354 | + | 0.747418i | \(0.731293\pi\) | |||||||
\(570\) | −0.416922 | − | 2.89976i | −0.0174629 | − | 0.121457i | ||||
\(571\) | 5.40551 | − | 3.47391i | 0.226214 | − | 0.145379i | −0.422625 | − | 0.906305i | \(-0.638891\pi\) |
0.648839 | + | 0.760926i | \(0.275255\pi\) | |||||||
\(572\) | −6.52516 | − | 7.53044i | −0.272831 | − | 0.314863i | ||||
\(573\) | 10.1284 | − | 2.97396i | 0.423120 | − | 0.124239i | ||||
\(574\) | −3.10443 | −0.129576 | ||||||||
\(575\) | −0.635134 | + | 4.75359i | −0.0264869 | + | 0.198238i | ||||
\(576\) | 1.00000 | 0.0416667 | ||||||||
\(577\) | 1.53711 | − | 0.451337i | 0.0639909 | − | 0.0187894i | −0.249580 | − | 0.968354i | \(-0.580293\pi\) |
0.313571 | + | 0.949565i | \(0.398475\pi\) | |||||||
\(578\) | 1.88480 | + | 2.17518i | 0.0783974 | + | 0.0904755i | ||||
\(579\) | 0.863711 | − | 0.555073i | 0.0358946 | − | 0.0230681i | ||||
\(580\) | 0.131389 | + | 0.913828i | 0.00545561 | + | 0.0379446i | ||||
\(581\) | −1.20519 | − | 0.774529i | −0.0499998 | − | 0.0321329i | ||||
\(582\) | −2.00391 | + | 4.38795i | −0.0830648 | + | 0.181886i | ||||
\(583\) | 2.05910 | − | 2.37632i | 0.0852790 | − | 0.0984173i | ||||
\(584\) | 0.588148 | − | 4.09066i | 0.0243378 | − | 0.169273i | ||||
\(585\) | 2.84180 | + | 6.22268i | 0.117494 | + | 0.257276i | ||||
\(586\) | −28.4732 | − | 8.36049i | −1.17622 | − | 0.345369i | ||||
\(587\) | −9.22083 | − | 2.70748i | −0.380584 | − | 0.111750i | 0.0858441 | − | 0.996309i | \(-0.472641\pi\) |
−0.466428 | + | 0.884559i | \(0.654459\pi\) | |||||||
\(588\) | −2.87483 | − | 6.29501i | −0.118556 | − | 0.259602i | ||||
\(589\) | 1.62531 | − | 11.3043i | 0.0669698 | − | 0.465785i | ||||
\(590\) | 1.73029 | − | 1.99686i | 0.0712348 | − | 0.0822094i | ||||
\(591\) | 2.64771 | − | 5.79768i | 0.108912 | − | 0.238485i | ||||
\(592\) | 2.14337 | + | 1.37746i | 0.0880918 | + | 0.0566132i | ||||
\(593\) | −0.904385 | − | 6.29013i | −0.0371386 | − | 0.258305i | 0.962790 | − | 0.270251i | \(-0.0871065\pi\) |
−0.999929 | + | 0.0119458i | \(0.996197\pi\) | |||||||
\(594\) | 1.22534 | − | 0.787479i | 0.0502764 | − | 0.0323107i | ||||
\(595\) | 0.694352 | + | 0.801325i | 0.0284657 | + | 0.0328511i | ||||
\(596\) | 19.0515 | − | 5.59401i | 0.780378 | − | 0.229140i | ||||
\(597\) | 8.14246 | 0.333249 | ||||||||
\(598\) | −31.3850 | + | 9.55653i | −1.28343 | + | 0.390795i | ||||
\(599\) | −21.3664 | −0.873008 | −0.436504 | − | 0.899702i | \(-0.643784\pi\) | ||||
−0.436504 | + | 0.899702i | \(0.643784\pi\) | |||||||
\(600\) | −0.959493 | + | 0.281733i | −0.0391711 | + | 0.0115017i | ||||
\(601\) | −21.1358 | − | 24.3921i | −0.862149 | − | 0.994973i | −0.999990 | − | 0.00451841i | \(-0.998562\pi\) |
0.137841 | − | 0.990454i | \(-0.455984\pi\) | |||||||
\(602\) | 0.758085 | − | 0.487192i | 0.0308972 | − | 0.0198565i | ||||
\(603\) | 1.96295 | + | 13.6526i | 0.0799377 | + | 0.555979i | ||||
\(604\) | −18.6177 | − | 11.9649i | −0.757543 | − | 0.486843i | ||||
\(605\) | −3.68823 | + | 8.07609i | −0.149948 | + | 0.328340i | ||||
\(606\) | −2.22172 | + | 2.56400i | −0.0902510 | + | 0.104155i | ||||
\(607\) | 1.61903 | − | 11.2606i | 0.0657144 | − | 0.457054i | −0.930222 | − | 0.366997i | \(-0.880386\pi\) |
0.995937 | − | 0.0900571i | \(-0.0287049\pi\) | |||||||
\(608\) | 1.21699 | + | 2.66484i | 0.0493554 | + | 0.108073i | ||||
\(609\) | −0.249939 | − | 0.0733888i | −0.0101281 | − | 0.00297387i | ||||
\(610\) | 10.2507 | + | 3.00987i | 0.415038 | + | 0.121866i | ||||
\(611\) | 31.2265 | + | 68.3764i | 1.26329 | + | 2.76621i | ||||
\(612\) | −0.534805 | + | 3.71965i | −0.0216182 | + | 0.150358i | ||||
\(613\) | −28.9419 | + | 33.4007i | −1.16895 | + | 1.34904i | −0.243627 | + | 0.969869i | \(0.578337\pi\) |
−0.925325 | + | 0.379174i | \(0.876208\pi\) | |||||||
\(614\) | 7.47487 | − | 16.3677i | 0.301661 | − | 0.660546i | ||||
\(615\) | 9.25600 | + | 5.94847i | 0.373238 | + | 0.239865i | ||||
\(616\) | 0.0584879 | + | 0.406792i | 0.00235655 | + | 0.0163901i | ||||
\(617\) | −20.9852 | + | 13.4864i | −0.844832 | + | 0.542940i | −0.889959 | − | 0.456041i | \(-0.849267\pi\) |
0.0451272 | + | 0.998981i | \(0.485631\pi\) | |||||||
\(618\) | 4.88349 | + | 5.63585i | 0.196443 | + | 0.226707i | ||||
\(619\) | −8.49720 | + | 2.49500i | −0.341531 | + | 0.100283i | −0.448000 | − | 0.894033i | \(-0.647864\pi\) |
0.106469 | + | 0.994316i | \(0.466045\pi\) | |||||||
\(620\) | −3.89836 | −0.156562 | ||||||||
\(621\) | −0.729834 | − | 4.73997i | −0.0292872 | − | 0.190209i | ||||
\(622\) | −31.5997 | −1.26703 | ||||||||
\(623\) | −1.03653 | + | 0.304354i | −0.0415279 | + | 0.0121937i | ||||
\(624\) | −4.47982 | − | 5.16999i | −0.179336 | − | 0.206965i | ||||
\(625\) | 0.841254 | − | 0.540641i | 0.0336501 | − | 0.0216256i | ||||
\(626\) | −0.417265 | − | 2.90214i | −0.0166773 | − | 0.115993i | ||||
\(627\) | 3.58973 | + | 2.30698i | 0.143360 | + | 0.0921319i | ||||
\(628\) | −7.47157 | + | 16.3605i | −0.298148 | + | 0.652853i | ||||
\(629\) | −6.26995 | + | 7.23590i | −0.249999 | + | 0.288514i | ||||
\(630\) | 0.0401546 | − | 0.279282i | 0.00159980 | − | 0.0111268i | ||||
\(631\) | −3.20001 | − | 7.00704i | −0.127390 | − | 0.278946i | 0.835181 | − | 0.549976i | \(-0.185363\pi\) |
−0.962571 | + | 0.271030i | \(0.912636\pi\) | |||||||
\(632\) | −6.36713 | − | 1.86956i | −0.253271 | − | 0.0743671i | ||||
\(633\) | −18.1109 | − | 5.31785i | −0.719844 | − | 0.211365i | ||||
\(634\) | −3.92800 | − | 8.60112i | −0.156001 | − | 0.341594i | ||||
\(635\) | −2.04262 | + | 14.2068i | −0.0810591 | + | 0.563778i | ||||
\(636\) | 1.41366 | − | 1.63146i | 0.0560554 | − | 0.0646914i | ||||
\(637\) | −19.6664 | + | 43.0634i | −0.779211 | + | 1.70623i | ||||
\(638\) | −1.13127 | − | 0.727020i | −0.0447872 | − | 0.0287830i | ||||
\(639\) | −0.374832 | − | 2.60701i | −0.0148281 | − | 0.103132i | ||||
\(640\) | 0.841254 | − | 0.540641i | 0.0332535 | − | 0.0213707i | ||||
\(641\) | 20.5991 | + | 23.7727i | 0.813616 | + | 0.938963i | 0.999045 | − | 0.0436943i | \(-0.0139128\pi\) |
−0.185428 | + | 0.982658i | \(0.559367\pi\) | |||||||
\(642\) | 0.996319 | − | 0.292546i | 0.0393216 | − | 0.0115459i | ||||
\(643\) | −9.43504 | −0.372082 | −0.186041 | − | 0.982542i | \(-0.559566\pi\) | ||||
−0.186041 | + | 0.982542i | \(0.559566\pi\) | |||||||
\(644\) | 1.30209 | + | 0.368260i | 0.0513094 | + | 0.0145115i | ||||
\(645\) | −3.19378 | −0.125755 | ||||||||
\(646\) | −10.5631 | + | 3.10161i | −0.415600 | + | 0.122031i | ||||
\(647\) | −13.5963 | − | 15.6910i | −0.534525 | − | 0.616875i | 0.422682 | − | 0.906278i | \(-0.361089\pi\) |
−0.957207 | + | 0.289403i | \(0.906543\pi\) | |||||||
\(648\) | 0.841254 | − | 0.540641i | 0.0330476 | − | 0.0212384i | ||||
\(649\) | 0.547709 | + | 3.80940i | 0.0214995 | + | 0.149532i | ||||
\(650\) | 5.75491 | + | 3.69846i | 0.225726 | + | 0.145065i | ||||
\(651\) | 0.456930 | − | 1.00054i | 0.0179085 | − | 0.0392141i | ||||
\(652\) | −3.13575 | + | 3.61885i | −0.122805 | + | 0.141725i | ||||
\(653\) | 0.327256 | − | 2.27611i | 0.0128065 | − | 0.0890713i | −0.982416 | − | 0.186706i | \(-0.940219\pi\) |
0.995222 | + | 0.0976351i | \(0.0311278\pi\) | |||||||
\(654\) | 4.73972 | + | 10.3785i | 0.185338 | + | 0.405833i | ||||
\(655\) | −0.157568 | − | 0.0462661i | −0.00615669 | − | 0.00180777i | ||||
\(656\) | −10.5569 | − | 3.09980i | −0.412179 | − | 0.121027i | ||||
\(657\) | −1.71680 | − | 3.75926i | −0.0669786 | − | 0.146663i | ||||
\(658\) | 0.441230 | − | 3.06882i | 0.0172009 | − | 0.119635i | ||||
\(659\) | −13.0752 | + | 15.0896i | −0.509338 | + | 0.587808i | −0.950929 | − | 0.309409i | \(-0.899869\pi\) |
0.441591 | + | 0.897217i | \(0.354414\pi\) | |||||||
\(660\) | 0.605080 | − | 1.32494i | 0.0235527 | − | 0.0515732i | ||||
\(661\) | 8.31494 | + | 5.34369i | 0.323414 | + | 0.207845i | 0.692266 | − | 0.721643i | \(-0.256613\pi\) |
−0.368852 | + | 0.929488i | \(0.620249\pi\) | |||||||
\(662\) | −2.58079 | − | 17.9498i | −0.100305 | − | 0.697639i | ||||
\(663\) | 21.6264 | − | 13.8984i | 0.839900 | − | 0.539771i | ||||
\(664\) | −3.32501 | − | 3.83726i | −0.129035 | − | 0.148915i | ||||
\(665\) | 0.793107 | − | 0.232877i | 0.0307554 | − | 0.00903060i | ||||
\(666\) | 2.54782 | 0.0987262 | ||||||||
\(667\) | −3.70070 | + | 2.43079i | −0.143292 | + | 0.0941206i | ||||
\(668\) | −8.47417 | −0.327875 | ||||||||
\(669\) | −19.5473 | + | 5.73960i | −0.755742 | + | 0.221906i | ||||
\(670\) | 9.03252 | + | 10.4241i | 0.348957 | + | 0.402718i | ||||
\(671\) | −13.0909 | + | 8.41299i | −0.505367 | + | 0.324780i | ||||
\(672\) | 0.0401546 | + | 0.279282i | 0.00154900 | + | 0.0107735i | ||||
\(673\) | 14.5768 | + | 9.36795i | 0.561895 | + | 0.361108i | 0.790548 | − | 0.612400i | \(-0.209796\pi\) |
−0.228653 | + | 0.973508i | \(0.573432\pi\) | |||||||
\(674\) | −7.32700 | + | 16.0439i | −0.282226 | + | 0.617988i | ||||
\(675\) | −0.654861 | + | 0.755750i | −0.0252056 | + | 0.0290888i | ||||
\(676\) | −4.80990 | + | 33.4536i | −0.184996 | + | 1.28668i | ||||
\(677\) | −2.23128 | − | 4.88583i | −0.0857552 | − | 0.187778i | 0.861896 | − | 0.507085i | \(-0.169277\pi\) |
−0.947651 | + | 0.319307i | \(0.896550\pi\) | |||||||
\(678\) | −5.50858 | − | 1.61747i | −0.211556 | − | 0.0621184i | ||||
\(679\) | −1.30594 | − | 0.383459i | −0.0501174 | − | 0.0147158i | ||||
\(680\) | 1.56109 | + | 3.41831i | 0.0598650 | + | 0.131086i | ||||
\(681\) | 1.05606 | − | 7.34504i | 0.0404682 | − | 0.281463i | ||||
\(682\) | 3.71844 | − | 4.29131i | 0.142386 | − | 0.164323i | ||||
\(683\) | −7.81598 | + | 17.1146i | −0.299070 | + | 0.654873i | −0.998190 | − | 0.0601315i | \(-0.980848\pi\) |
0.699120 | + | 0.715004i | \(0.253575\pi\) | |||||||
\(684\) | 2.46452 | + | 1.58385i | 0.0942331 | + | 0.0605599i | ||||
\(685\) | 2.93764 | + | 20.4318i | 0.112242 | + | 0.780657i | ||||
\(686\) | 3.30418 | − | 2.12347i | 0.126154 | − | 0.0810744i | ||||
\(687\) | 11.4522 | + | 13.2165i | 0.436928 | + | 0.504241i | ||||
\(688\) | 3.06441 | − | 0.899793i | 0.116830 | − | 0.0343043i | ||||
\(689\) | −14.7676 | −0.562600 | ||||||||
\(690\) | −3.17660 | − | 3.59294i | −0.120931 | − | 0.136781i | ||||
\(691\) | 6.65156 | 0.253037 | 0.126519 | − | 0.991964i | \(-0.459620\pi\) | ||||
0.126519 | + | 0.991964i | \(0.459620\pi\) | |||||||
\(692\) | 17.5778 | − | 5.16129i | 0.668206 | − | 0.196203i | ||||
\(693\) | 0.269132 | + | 0.310595i | 0.0102235 | + | 0.0117985i | ||||
\(694\) | 5.23680 | − | 3.36549i | 0.198786 | − | 0.127752i | ||||
\(695\) | −1.41767 | − | 9.86010i | −0.0537752 | − | 0.374015i | ||||
\(696\) | −0.776666 | − | 0.499133i | −0.0294394 | − | 0.0189196i | ||||
\(697\) | 17.1761 | − | 37.6104i | 0.650591 | − | 1.42459i | ||||
\(698\) | 4.31992 | − | 4.98546i | 0.163511 | − | 0.188702i | ||||
\(699\) | 1.00030 | − | 6.95722i | 0.0378347 | − | 0.263146i | ||||
\(700\) | −0.117211 | − | 0.256656i | −0.00443015 | − | 0.00970068i | ||||
\(701\) | −7.14922 | − | 2.09920i | −0.270022 | − | 0.0792857i | 0.143918 | − | 0.989590i | \(-0.454030\pi\) |
−0.413941 | + | 0.910304i | \(0.635848\pi\) | |||||||
\(702\) | −6.56377 | − | 1.92730i | −0.247734 | − | 0.0727412i | ||||
\(703\) | 3.10067 | + | 6.78953i | 0.116944 | + | 0.256072i | ||||
\(704\) | −0.207291 | + | 1.44174i | −0.00781258 | + | 0.0543377i | ||||
\(705\) | −7.19578 | + | 8.30437i | −0.271009 | + | 0.312761i | ||||
\(706\) | −9.78347 | + | 21.4228i | −0.368206 | + | 0.806258i | ||||
\(707\) | −0.805289 | − | 0.517528i | −0.0302860 | − | 0.0194636i | ||||
\(708\) | 0.376027 | + | 2.61533i | 0.0141320 | + | 0.0982901i | ||||
\(709\) | 25.0073 | − | 16.0712i | 0.939170 | − | 0.603568i | 0.0210103 | − | 0.999779i | \(-0.493312\pi\) |
0.918159 | + | 0.396212i | \(0.129675\pi\) | |||||||
\(710\) | −1.72479 | − | 1.99051i | −0.0647300 | − | 0.0747024i | ||||
\(711\) | −6.36713 | + | 1.86956i | −0.238786 | + | 0.0701140i | ||||
\(712\) | −3.82875 | −0.143488 | ||||||||
\(713\) | −7.93579 | − | 16.9280i | −0.297198 | − | 0.633960i | ||||
\(714\) | −1.06031 | −0.0396809 | ||||||||
\(715\) | −9.56058 | + | 2.80724i | −0.357545 | + | 0.104985i | ||||
\(716\) | 0.723157 | + | 0.834568i | 0.0270257 | + | 0.0311893i | ||||
\(717\) | 4.42480 | − | 2.84365i | 0.165247 | − | 0.106198i | ||||
\(718\) | −2.54832 | − | 17.7239i | −0.0951023 | − | 0.661451i | ||||
\(719\) | −5.47787 | − | 3.52041i | −0.204290 | − | 0.131289i | 0.434496 | − | 0.900674i | \(-0.356927\pi\) |
−0.638786 | + | 0.769385i | \(0.720563\pi\) | |||||||
\(720\) | 0.415415 | − | 0.909632i | 0.0154816 | − | 0.0339000i | ||||
\(721\) | −1.37789 | + | 1.59017i | −0.0513155 | + | 0.0592212i | ||||
\(722\) | 1.48258 | − | 10.3116i | 0.0551758 | − | 0.383756i | ||||
\(723\) | −8.07923 | − | 17.6910i | −0.300470 | − | 0.657937i | ||||
\(724\) | −9.37333 | − | 2.75226i | −0.348357 | − | 0.102287i | ||||
\(725\) | 0.885828 | + | 0.260102i | 0.0328988 | + | 0.00965996i | ||||
\(726\) | −3.68823 | − | 8.07609i | −0.136883 | − | 0.299732i | ||||
\(727\) | 0.544460 | − | 3.78680i | 0.0201929 | − | 0.140445i | −0.977231 | − | 0.212179i | \(-0.931944\pi\) |
0.997424 | + | 0.0717339i | \(0.0228532\pi\) | |||||||
\(728\) | 1.26400 | − | 1.45873i | 0.0468469 | − | 0.0540642i | ||||
\(729\) | 0.415415 | − | 0.909632i | 0.0153857 | − | 0.0336901i | ||||
\(730\) | −3.47667 | − | 2.23432i | −0.128677 | − | 0.0826959i | ||||
\(731\) | 1.70805 | + | 11.8798i | 0.0631746 | + | 0.439389i | ||||
\(732\) | −8.98748 | + | 5.77590i | −0.332187 | + | 0.213484i | ||||
\(733\) | 23.0417 | + | 26.5915i | 0.851064 | + | 0.982181i | 0.999978 | − | 0.00666962i | \(-0.00212302\pi\) |
−0.148913 | + | 0.988850i | \(0.547578\pi\) | |||||||
\(734\) | 18.8679 | − | 5.54011i | 0.696426 | − | 0.204489i | ||||
\(735\) | −6.92039 | −0.255262 | ||||||||
\(736\) | 4.06017 | + | 2.55245i | 0.149660 | + | 0.0940846i | ||||
\(737\) | −20.0905 | −0.740042 | ||||||||
\(738\) | −10.5569 | + | 3.09980i | −0.388607 | + | 0.114105i | ||||
\(739\) | 11.5868 | + | 13.3718i | 0.426226 | + | 0.491891i | 0.927723 | − | 0.373268i | \(-0.121763\pi\) |
−0.501498 | + | 0.865159i | \(0.667217\pi\) | |||||||
\(740\) | 2.14337 | − | 1.37746i | 0.0787917 | − | 0.0506363i | ||||
\(741\) | −2.85211 | − | 19.8369i | −0.104775 | − | 0.728726i | ||||
\(742\) | 0.512401 | + | 0.329300i | 0.0188108 | + | 0.0120890i | ||||
\(743\) | 4.17787 | − | 9.14826i | 0.153271 | − | 0.335617i | −0.817384 | − | 0.576093i | \(-0.804576\pi\) |
0.970655 | + | 0.240476i | \(0.0773037\pi\) | |||||||
\(744\) | 2.55288 | − | 2.94618i | 0.0935932 | − | 0.108012i | ||||
\(745\) | 2.82577 | − | 19.6536i | 0.103528 | − | 0.720054i | ||||
\(746\) | 8.75027 | + | 19.1604i | 0.320370 | + | 0.701512i | ||||
\(747\) | −4.87175 | − | 1.43048i | −0.178248 | − | 0.0523384i | ||||
\(748\) | −5.25191 | − | 1.54210i | −0.192029 | − | 0.0563848i | ||||
\(749\) | 0.121709 | + | 0.266506i | 0.00444717 | + | 0.00973793i | ||||
\(750\) | −0.142315 | + | 0.989821i | −0.00519660 | + | 0.0361432i | ||||
\(751\) | 21.1717 | − | 24.4334i | 0.772566 | − | 0.891589i | −0.223983 | − | 0.974593i | \(-0.571906\pi\) |
0.996549 | + | 0.0830042i | \(0.0264515\pi\) | |||||||
\(752\) | 4.56469 | − | 9.99527i | 0.166457 | − | 0.364490i | ||||
\(753\) | 22.5829 | + | 14.5131i | 0.822966 | + | 0.528888i | ||||
\(754\) | 0.898813 | + | 6.25138i | 0.0327328 | + | 0.227662i | ||||
\(755\) | −18.6177 | + | 11.9649i | −0.677567 | + | 0.435446i | ||||
\(756\) | 0.184771 | + | 0.213237i | 0.00672007 | + | 0.00775537i | ||||
\(757\) | 1.42967 | − | 0.419789i | 0.0519622 | − | 0.0152575i | −0.255648 | − | 0.966770i | \(-0.582289\pi\) |
0.307610 | + | 0.951512i | \(0.400471\pi\) | |||||||
\(758\) | −13.8582 | −0.503352 | ||||||||
\(759\) | 6.98510 | − | 0.0696775i | 0.253543 | − | 0.00252913i | ||||
\(760\) | 2.92958 | 0.106267 | ||||||||
\(761\) | 3.07157 | − | 0.901895i | 0.111344 | − | 0.0326937i | −0.225586 | − | 0.974223i | \(-0.572430\pi\) |
0.336930 | + | 0.941530i | \(0.390611\pi\) | |||||||
\(762\) | −9.39912 | − | 10.8472i | −0.340494 | − | 0.392951i | ||||
\(763\) | −2.70822 | + | 1.74046i | −0.0980440 | + | 0.0630090i | ||||
\(764\) | 1.50227 | + | 10.4485i | 0.0543503 | + | 0.378015i | ||||
\(765\) | 3.16135 | + | 2.03168i | 0.114299 | + | 0.0734554i | ||||
\(766\) | 3.30469 | − | 7.23625i | 0.119403 | − | 0.261456i | ||||
\(767\) | 11.8367 | − | 13.6603i | 0.427398 | − | 0.493244i | ||||
\(768\) | −0.142315 | + | 0.989821i | −0.00513534 | + | 0.0357171i | ||||
\(769\) | 5.98946 | + | 13.1151i | 0.215986 | + | 0.472943i | 0.986350 | − | 0.164661i | \(-0.0526530\pi\) |
−0.770365 | + | 0.637604i | \(0.779926\pi\) | |||||||
\(770\) | 0.394328 | + | 0.115785i | 0.0142106 | + | 0.00417261i | ||||
\(771\) | 0.761095 | + | 0.223478i | 0.0274102 | + | 0.00804835i | ||||
\(772\) | 0.426505 | + | 0.933915i | 0.0153502 | + | 0.0336123i | ||||
\(773\) | 3.79568 | − | 26.3995i | 0.136521 | − | 0.949524i | −0.800271 | − | 0.599638i | \(-0.795311\pi\) |
0.936792 | − | 0.349886i | \(-0.113780\pi\) | |||||||
\(774\) | 2.09148 | − | 2.41370i | 0.0751768 | − | 0.0867587i | ||||
\(775\) | −1.61944 | + | 3.54607i | −0.0581719 | + | 0.127379i | ||||
\(776\) | −4.05810 | − | 2.60798i | −0.145677 | − | 0.0936212i | ||||
\(777\) | 0.102307 | + | 0.711560i | 0.00367024 | + | 0.0255271i | ||||
\(778\) | −17.0778 | + | 10.9752i | −0.612268 | + | 0.393481i | ||||
\(779\) | −21.1081 | − | 24.3601i | −0.756278 | − | 0.872791i | ||||
\(780\) | −6.56377 | + | 1.92730i | −0.235021 | + | 0.0690083i | ||||
\(781\) | 3.83633 | 0.137275 | ||||||||
\(782\) | −11.6656 | + | 13.7374i | −0.417162 | + | 0.491247i | ||||
\(783\) | −0.923225 | −0.0329934 | ||||||||
\(784\) | 6.64006 | − | 1.94970i | 0.237145 | − | 0.0696321i | ||||
\(785\) | 11.7782 | + | 13.5928i | 0.420382 | + | 0.485146i | ||||
\(786\) | 0.138151 | − | 0.0887840i | 0.00492767 | − | 0.00316682i | ||||
\(787\) | 1.59855 | + | 11.1182i | 0.0569823 | + | 0.396321i | 0.998274 | + | 0.0587266i | \(0.0187040\pi\) |
−0.941292 | + | 0.337594i | \(0.890387\pi\) | |||||||
\(788\) | 5.36186 | + | 3.44586i | 0.191008 | + | 0.122754i | ||||
\(789\) | −12.6066 | + | 27.6047i | −0.448808 | + | 0.982752i | ||||
\(790\) | −4.34561 | + | 5.01511i | −0.154610 | + | 0.178429i | ||||
\(791\) | 0.230533 | − | 1.60340i | 0.00819683 | − | 0.0570102i | ||||
\(792\) | 0.605080 | + | 1.32494i | 0.0215006 | + | 0.0470797i | ||||
\(793\) | 70.1237 | + | 20.5902i | 2.49017 | + | 0.731179i | ||||
\(794\) | 33.0229 | + | 9.69640i | 1.17194 | + | 0.344112i | ||||
\(795\) | −0.896767 | − | 1.96365i | −0.0318050 | − | 0.0696433i | ||||
\(796\) | −1.15879 | + | 8.05959i | −0.0410723 | + | 0.285664i | ||||
\(797\) | 30.8606 | − | 35.6150i | 1.09314 | − | 1.26155i | 0.130298 | − | 0.991475i | \(-0.458406\pi\) |
0.962840 | − | 0.270074i | \(-0.0870481\pi\) | |||||||
\(798\) | −0.343378 | + | 0.751893i | −0.0121554 | + | 0.0266167i | ||||
\(799\) | 34.7377 | + | 22.3246i | 1.22893 | + | 0.789787i | ||||
\(800\) | −0.142315 | − | 0.989821i | −0.00503159 | − | 0.0349955i | ||||
\(801\) | −3.22095 | + | 2.06998i | −0.113807 | + | 0.0731390i | ||||
\(802\) | −14.9448 | − | 17.2473i | −0.527720 | − | 0.609022i | ||||
\(803\) | 5.77576 | − | 1.69592i | 0.203822 | − | 0.0598476i | ||||
\(804\) | −13.7930 | −0.486443 | ||||||||
\(805\) | 0.875887 | − | 1.03144i | 0.0308710 | − | 0.0363534i | ||||
\(806\) | −26.6682 | −0.939347 | ||||||||
\(807\) | 25.8321 | − | 7.58500i | 0.909334 | − | 0.267005i | ||||
\(808\) | −2.22172 | − | 2.56400i | −0.0781597 | − | 0.0902011i | ||||
\(809\) | 20.5200 | − | 13.1874i | 0.721446 | − | 0.463645i | −0.127693 | − | 0.991814i | \(-0.540757\pi\) |
0.849140 | + | 0.528168i | \(0.177121\pi\) | |||||||
\(810\) | −0.142315 | − | 0.989821i | −0.00500043 | − | 0.0347788i | ||||
\(811\) | −30.3347 | − | 19.4949i | −1.06519 | − | 0.684559i | −0.114103 | − | 0.993469i | \(-0.536399\pi\) |
−0.951091 | + | 0.308910i | \(0.900036\pi\) | |||||||
\(812\) | 0.108212 | − | 0.236951i | 0.00379749 | − | 0.00831535i | ||||
\(813\) | −17.1355 | + | 19.7755i | −0.600970 | + | 0.693556i | ||||
\(814\) | −0.528141 | + | 3.67330i | −0.0185113 | + | 0.128749i | ||||
\(815\) | 1.98918 | + | 4.35570i | 0.0696780 | + | 0.152573i | ||||
\(816\) | −3.60568 | − | 1.05872i | −0.126224 | − | 0.0370627i | ||||
\(817\) | 8.97743 | + | 2.63601i | 0.314081 | + | 0.0922224i | ||||
\(818\) | 11.2016 | + | 24.5280i | 0.391654 | + | 0.857603i | ||||
\(819\) | 0.274693 | − | 1.91053i | 0.00959855 | − | 0.0667594i | ||||
\(820\) | −7.20519 | + | 8.31523i | −0.251616 | + | 0.290381i | ||||
\(821\) | 10.0712 | − | 22.0529i | 0.351488 | − | 0.769651i | −0.648477 | − | 0.761235i | \(-0.724594\pi\) |
0.999965 | − | 0.00841677i | \(-0.00267917\pi\) | |||||||
\(822\) | −17.3650 | − | 11.1598i | −0.605675 | − | 0.389244i | ||||
\(823\) | −4.51325 | − | 31.3903i | −0.157322 | − | 1.09420i | −0.903542 | − | 0.428499i | \(-0.859043\pi\) |
0.746220 | − | 0.665699i | \(-0.231866\pi\) | |||||||
\(824\) | −6.27348 | + | 4.03172i | −0.218547 | + | 0.140452i | ||||
\(825\) | −0.953848 | − | 1.10080i | −0.0332087 | − | 0.0383249i | ||||
\(826\) | −0.715314 | + | 0.210035i | −0.0248890 | + | 0.00730806i | ||||
\(827\) | −54.6304 | −1.89968 | −0.949842 | − | 0.312729i | \(-0.898757\pi\) | ||||
−0.949842 | + | 0.312729i | \(0.898757\pi\) | |||||||
\(828\) | 4.79559 | − | 0.0478368i | 0.166658 | − | 0.00166244i | ||||
\(829\) | 7.64632 | 0.265568 | 0.132784 | − | 0.991145i | \(-0.457608\pi\) | ||||
0.132784 | + | 0.991145i | \(0.457608\pi\) | |||||||
\(830\) | −4.87175 | + | 1.43048i | −0.169101 | + | 0.0496525i | ||||
\(831\) | −4.68245 | − | 5.40383i | −0.162432 | − | 0.187457i | ||||
\(832\) | 5.75491 | − | 3.69846i | 0.199516 | − | 0.128221i | ||||
\(833\) | 3.70106 | + | 25.7414i | 0.128234 | + | 0.891888i | ||||
\(834\) | 8.38014 | + | 5.38559i | 0.290181 | + | 0.186488i | ||||
\(835\) | −3.52030 | + | 7.70838i | −0.121825 | + | 0.266759i | ||||
\(836\) | −2.79437 | + | 3.22488i | −0.0966453 | + | 0.111535i | ||||
\(837\) | 0.554794 | − | 3.85868i | 0.0191765 | − | 0.133375i | ||||
\(838\) | 7.63116 | + | 16.7099i | 0.263614 | + | 0.577234i | ||||
\(839\) | −16.3760 | − | 4.80842i | −0.565362 | − | 0.166005i | −0.0134527 | − | 0.999910i | \(-0.504282\pi\) |
−0.551909 | + | 0.833904i | \(0.686100\pi\) | |||||||
\(840\) | 0.270724 | + | 0.0794918i | 0.00934088 | + | 0.00274273i | ||||
\(841\) | −11.6930 | − | 25.6040i | −0.403205 | − | 0.882897i | ||||
\(842\) | −3.66047 | + | 25.4592i | −0.126148 | + | 0.877380i | ||||
\(843\) | −11.6885 | + | 13.4892i | −0.402572 | + | 0.464593i | ||||
\(844\) | 7.84117 | − | 17.1698i | 0.269904 | − | 0.591008i | ||||
\(845\) | 28.4324 | + | 18.2724i | 0.978103 | + | 0.628589i | ||||
\(846\) | −1.56379 | − | 10.8764i | −0.0537643 | − | 0.373939i | ||||
\(847\) | 2.10740 | − | 1.35435i | 0.0724113 | − | 0.0465359i | ||||
\(848\) | 1.41366 | + | 1.63146i | 0.0485454 | + | 0.0560244i | ||||
\(849\) | 7.56421 | − | 2.22105i | 0.259603 | − | 0.0762264i | ||||
\(850\) | 3.75790 | 0.128895 | ||||||||
\(851\) | 10.3446 | + | 6.50319i | 0.354608 | + | 0.222927i | ||||
\(852\) | 2.63382 | 0.0902332 | ||||||||
\(853\) | 2.31400 | − | 0.679451i | 0.0792298 | − | 0.0232640i | −0.241877 | − | 0.970307i | \(-0.577763\pi\) |
0.321107 | + | 0.947043i | \(0.395945\pi\) | |||||||
\(854\) | −1.97399 | − | 2.27811i | −0.0675487 | − | 0.0779553i | ||||
\(855\) | 2.46452 | − | 1.58385i | 0.0842847 | − | 0.0541665i | ||||
\(856\) | 0.147777 | + | 1.02781i | 0.00505091 | + | 0.0351299i | ||||
\(857\) | 3.18662 | + | 2.04791i | 0.108853 | + | 0.0699554i | 0.593935 | − | 0.804513i | \(-0.297574\pi\) |
−0.485082 | + | 0.874469i | \(0.661210\pi\) | |||||||
\(858\) | 4.13928 | − | 9.06375i | 0.141313 | − | 0.309431i | ||||
\(859\) | 7.83010 | − | 9.03642i | 0.267160 | − | 0.308319i | −0.606280 | − | 0.795251i | \(-0.707339\pi\) |
0.873439 | + | 0.486933i | \(0.161884\pi\) | |||||||
\(860\) | 0.454523 | − | 3.16128i | 0.0154991 | − | 0.107799i | ||||
\(861\) | −1.28963 | − | 2.82389i | −0.0439504 | − | 0.0962379i | ||||
\(862\) | 10.6090 | + | 3.11507i | 0.361343 | + | 0.106100i | ||||
\(863\) | 22.2266 | + | 6.52633i | 0.756603 | + | 0.222159i | 0.637212 | − | 0.770689i | \(-0.280088\pi\) |
0.119391 | + | 0.992847i | \(0.461906\pi\) | |||||||
\(864\) | 0.415415 | + | 0.909632i | 0.0141327 | + | 0.0309463i | ||||
\(865\) | 2.60718 | − | 18.1334i | 0.0886469 | − | 0.616553i | ||||
\(866\) | 25.0159 | − | 28.8699i | 0.850076 | − | 0.981040i | ||||
\(867\) | −1.19564 | + | 2.61808i | −0.0406059 | + | 0.0889146i | ||||
\(868\) | 0.925325 | + | 0.594670i | 0.0314076 | + | 0.0201844i | ||||
\(869\) | −1.37557 | − | 9.56730i | −0.0466630 | − | 0.324548i | ||||
\(870\) | −0.776666 | + | 0.499133i | −0.0263314 | + | 0.0169222i | ||||
\(871\) | 61.7904 | + | 71.3099i | 2.09369 | + | 2.41624i | ||||
\(872\) | −10.9474 | + | 3.21446i | −0.370727 | + | 0.108855i | ||||
\(873\) | −4.82388 | −0.163263 | ||||||||
\(874\) | 5.96366 | + | 12.7212i | 0.201724 | + | 0.430303i | ||||
\(875\) | −0.282154 | −0.00953853 | ||||||||
\(876\) | 3.96532 | − | 1.16432i | 0.133976 | − | 0.0393389i | ||||
\(877\) | −10.1374 | − | 11.6992i | −0.342315 | − | 0.395052i | 0.558322 | − | 0.829624i | \(-0.311445\pi\) |
−0.900637 | + | 0.434572i | \(0.856900\pi\) | |||||||
\(878\) | 18.4076 | − | 11.8299i | 0.621227 | − | 0.399238i | ||||
\(879\) | −4.22323 | − | 29.3732i | −0.142446 | − | 0.990734i | ||||
\(880\) | 1.22534 | + | 0.787479i | 0.0413063 | + | 0.0265459i | ||||
\(881\) | −6.28913 | + | 13.7713i | −0.211886 | + | 0.463966i | −0.985497 | − | 0.169696i | \(-0.945722\pi\) |
0.773610 | + | 0.633662i | \(0.218449\pi\) | |||||||
\(882\) | 4.53189 | − | 5.23008i | 0.152597 | − | 0.176106i | ||||
\(883\) | −5.24746 | + | 36.4969i | −0.176591 | + | 1.22822i | 0.687988 | + | 0.725722i | \(0.258494\pi\) |
−0.864579 | + | 0.502496i | \(0.832415\pi\) | |||||||
\(884\) | 10.6792 | + | 23.3842i | 0.359181 | + | 0.786497i | ||||
\(885\) | 2.53519 | + | 0.744400i | 0.0852196 | + | 0.0250227i | ||||
\(886\) | −18.4032 | − | 5.40366i | −0.618267 | − | 0.181540i | ||||
\(887\) | −19.1704 | − | 41.9773i | −0.643679 | − | 1.40946i | −0.896979 | − | 0.442072i | \(-0.854244\pi\) |
0.253301 | − | 0.967388i | \(-0.418484\pi\) | |||||||
\(888\) | −0.362593 | + | 2.52189i | −0.0121678 | + | 0.0846291i | ||||
\(889\) | 2.65200 | − | 3.06057i | 0.0889451 | − | 0.102648i | ||||
\(890\) | −1.59052 | + | 3.48275i | −0.0533143 | + | 0.116742i | ||||
\(891\) | 1.22534 | + | 0.787479i | 0.0410505 | + | 0.0263816i | ||||
\(892\) | −2.89931 | − | 20.1652i | −0.0970762 | − | 0.675180i | ||||
\(893\) | 27.0807 | − | 17.4037i | 0.906222 | − | 0.582394i | ||||
\(894\) | 13.0028 | + | 15.0060i | 0.434877 | + | 0.501875i | ||||
\(895\) | 1.05956 | − | 0.311115i | 0.0354172 | − | 0.0103994i | ||||
\(896\) | −0.282154 | −0.00942609 | ||||||||
\(897\) | −21.7307 | − | 24.5789i | −0.725568 | − | 0.820665i | ||||
\(898\) | −22.5024 | −0.750916 | ||||||||
\(899\) | −3.45327 | + | 1.01397i | −0.115173 | + | 0.0338179i | ||||
\(900\) | −0.654861 | − | 0.755750i | −0.0218287 | − | 0.0251917i | ||||
\(901\) | −6.82448 | + | 4.38583i | −0.227356 | + | 0.146113i | ||||
\(902\) | −2.28075 | − | 15.8629i | −0.0759406 | − | 0.528178i | ||||
\(903\) | 0.758085 | + | 0.487192i | 0.0252275 | + | 0.0162127i | ||||
\(904\) | 2.38496 | − | 5.22232i | 0.0793225 | − | 0.173692i | ||||
\(905\) | −6.39736 | + | 7.38295i | −0.212656 | + | 0.245418i | ||||
\(906\) | 3.14955 | − | 21.9056i | 0.104637 | − | 0.727766i | ||||
\(907\) | 9.20088 | + | 20.1471i | 0.305510 | + | 0.668974i | 0.998656 | − | 0.0518231i | \(-0.0165032\pi\) |
−0.693146 | + | 0.720797i | \(0.743776\pi\) | |||||||
\(908\) | 7.11999 | + | 2.09062i | 0.236285 | + | 0.0693796i | ||||
\(909\) | −3.25523 | − | 0.955821i | −0.107969 | − | 0.0317026i | ||||
\(910\) | −0.801825 | − | 1.75575i | −0.0265802 | − | 0.0582026i | ||||
\(911\) | −1.93284 | + | 13.4432i | −0.0640380 | + | 0.445394i | 0.932425 | + | 0.361363i | \(0.117688\pi\) |
−0.996463 | + | 0.0840307i | \(0.973221\pi\) | |||||||
\(912\) | −1.91846 | + | 2.21403i | −0.0635267 | + | 0.0733137i | ||||
\(913\) | 3.07225 | − | 6.72728i | 0.101677 | − | 0.222641i | ||||
\(914\) | −13.6817 | − | 8.79271i | −0.452551 | − | 0.290837i | ||||
\(915\) | 1.52041 | + | 10.5747i | 0.0502633 | + | 0.349589i | ||||
\(916\) | −14.7118 | + | 9.45470i | −0.486092 | + | 0.312392i | ||||
\(917\) | 0.0303431 | + | 0.0350178i | 0.00100202 | + | 0.00115639i | ||||
\(918\) | −3.60568 | + | 1.05872i | −0.119005 | + | 0.0349431i | ||||
\(919\) | 23.8798 | 0.787723 | 0.393862 | − | 0.919170i | \(-0.371139\pi\) | ||||
0.393862 | + | 0.919170i | \(0.371139\pi\) | |||||||
\(920\) | 4.00845 | − | 2.63294i | 0.132155 | − | 0.0868053i | ||||
\(921\) | 17.9937 | 0.592914 | ||||||||
\(922\) | 22.1950 | − | 6.51704i | 0.730954 | − | 0.214627i | ||||
\(923\) | −11.7990 | − | 13.6168i | −0.388370 | − | 0.448203i | ||||
\(924\) | −0.345735 | + | 0.222190i | −0.0113738 | + | 0.00730952i | ||||
\(925\) | −0.362593 | − | 2.52189i | −0.0119220 | − | 0.0829193i | ||||
\(926\) | 15.1653 | + | 9.74615i | 0.498363 | + | 0.320278i | ||||
\(927\) | −3.09787 | + | 6.78339i | −0.101747 | + | 0.222796i | ||||
\(928\) | 0.604584 | − | 0.697727i | 0.0198464 | − | 0.0229040i | ||||
\(929\) | 5.84318 | − | 40.6402i | 0.191709 | − | 1.33336i | −0.635776 | − | 0.771874i | \(-0.719320\pi\) |
0.827484 | − | 0.561489i | \(-0.189771\pi\) | |||||||
\(930\) | −1.61944 | − | 3.54607i | −0.0531034 | − | 0.116280i | ||||
\(931\) | 19.4526 | + | 5.71179i | 0.637532 | + | 0.187196i | ||||
\(932\) | 6.74405 | + | 1.98023i | 0.220909 | + | 0.0648647i | ||||
\(933\) | −13.1270 | − | 28.7441i | −0.429759 | − | 0.941040i | ||||
\(934\) | 4.15324 | − | 28.8864i | 0.135898 | − | 0.945193i | ||||
\(935\) | −3.58447 | + | 4.13670i | −0.117225 | + | 0.135284i | ||||
\(936\) | 2.84180 | − | 6.22268i | 0.0928873 | − | 0.203395i | ||||
\(937\) | −15.0448 | − | 9.66870i | −0.491492 | − | 0.315863i | 0.271313 | − | 0.962491i | \(-0.412542\pi\) |
−0.762805 | + | 0.646628i | \(0.776178\pi\) | |||||||
\(938\) | −0.553855 | − | 3.85214i | −0.0180840 | − | 0.125777i | ||||
\(939\) | 2.46654 | − | 1.58515i | 0.0804926 | − | 0.0517295i | ||||
\(940\) | −7.19578 | − | 8.30437i | −0.234700 | − | 0.270859i | ||||
\(941\) | 26.9508 | − | 7.91348i | 0.878573 | − | 0.257972i | 0.188815 | − | 0.982013i | \(-0.439535\pi\) |
0.689757 | + | 0.724040i | \(0.257717\pi\) | |||||||
\(942\) | −17.9858 | −0.586009 | ||||||||
\(943\) | −50.7751 | − | 14.3604i | −1.65346 | − | 0.467638i | ||||
\(944\) | −2.64222 | −0.0859970 | ||||||||
\(945\) | 0.270724 | − | 0.0794918i | 0.00880666 | − | 0.00258587i | ||||
\(946\) | 3.04639 | + | 3.51572i | 0.0990466 | + | 0.114306i | ||||
\(947\) | 26.7172 | − | 17.1701i | 0.868192 | − | 0.557953i | −0.0290072 | − | 0.999579i | \(-0.509235\pi\) |
0.897199 | + | 0.441626i | \(0.145598\pi\) | |||||||
\(948\) | −0.944392 | − | 6.56839i | −0.0306724 | − | 0.213331i | ||||
\(949\) | −23.7835 | − | 15.2847i | −0.772045 | − | 0.496163i | ||||
\(950\) | 1.21699 | − | 2.66484i | 0.0394844 | − | 0.0864587i | ||||
\(951\) | 6.19210 | − | 7.14607i | 0.200793 | − | 0.231727i | ||||
\(952\) | 0.150897 | − | 1.04951i | 0.00489061 | − | 0.0340149i | ||||
\(953\) | 9.79030 | + | 21.4378i | 0.317139 | + | 0.694438i | 0.999325 | − | 0.0367413i | \(-0.0116978\pi\) |
−0.682186 | + | 0.731179i | \(0.738970\pi\) | |||||||
\(954\) | 2.07128 | + | 0.608183i | 0.0670602 | + | 0.0196907i | ||||
\(955\) | 10.1284 | + | 2.97396i | 0.327747 | + | 0.0962352i | ||||
\(956\) | 2.18499 | + | 4.78446i | 0.0706676 | + | 0.154741i | ||||
\(957\) | 0.191376 | − | 1.33105i | 0.00618631 | − | 0.0430268i | ||||
\(958\) | −7.38912 | + | 8.52750i | −0.238732 | + | 0.275511i | ||||
\(959\) | 2.41945 | − | 5.29786i | 0.0781281 | − | 0.171077i | ||||
\(960\) | 0.841254 | + | 0.540641i | 0.0271513 | + | 0.0174491i | ||||
\(961\) | 2.24897 | + | 15.6420i | 0.0725476 | + | 0.504579i | ||||
\(962\) | 14.6625 | − | 9.42302i | 0.472738 | − | 0.303810i | ||||
\(963\) | 0.679994 | + | 0.784755i | 0.0219125 | + | 0.0252884i | ||||
\(964\) | 18.6608 | − | 5.47930i | 0.601023 | − | 0.176476i | ||||
\(965\) | 1.02670 | 0.0330505 | ||||||||
\(966\) | 0.205925 | + | 1.33740i | 0.00662554 | + | 0.0430301i | ||||
\(967\) | 56.3595 | 1.81240 | 0.906199 | − | 0.422851i | \(-0.138971\pi\) | ||||
0.906199 | + | 0.422851i | \(0.138971\pi\) | |||||||
\(968\) | 8.51878 | − | 2.50134i | 0.273804 | − | 0.0803961i | ||||
\(969\) | −7.20940 | − | 8.32009i | −0.231599 | − | 0.267280i | ||||
\(970\) | −4.05810 | + | 2.60798i | −0.130298 | + | 0.0837373i | ||||
\(971\) | −2.31330 | − | 16.0893i | −0.0742373 | − | 0.516331i | −0.992680 | − | 0.120777i | \(-0.961461\pi\) |
0.918442 | − | 0.395555i | \(-0.129448\pi\) | |||||||
\(972\) | 0.841254 | + | 0.540641i | 0.0269832 | + | 0.0173411i | ||||
\(973\) | −1.16759 | + | 2.55668i | −0.0374314 | + | 0.0819633i | ||||
\(974\) | −23.1816 | + | 26.7530i | −0.742785 | + | 0.857220i | ||||
\(975\) | −0.973558 | + | 6.77125i | −0.0311788 | + | 0.216853i | ||||
\(976\) | −4.43806 | − | 9.71800i | −0.142059 | − | 0.311066i | ||||
\(977\) | 15.6545 | + | 4.59658i | 0.500832 | + | 0.147058i | 0.522384 | − | 0.852710i | \(-0.325043\pi\) |
−0.0215522 | + | 0.999768i | \(0.506861\pi\) | |||||||
\(978\) | −4.59445 | − | 1.34905i | −0.146914 | − | 0.0431380i | ||||
\(979\) | −2.31670 | − | 5.07286i | −0.0740419 | − | 0.162129i | ||||
\(980\) | 0.984874 | − | 6.84995i | 0.0314606 | − | 0.218814i | ||||
\(981\) | −7.47171 | + | 8.62281i | −0.238553 | + | 0.275305i | ||||
\(982\) | 5.52085 | − | 12.0890i | 0.176177 | − | 0.385775i | ||||
\(983\) | 22.6891 | + | 14.5814i | 0.723671 | + | 0.465075i | 0.849912 | − | 0.526924i | \(-0.176655\pi\) |
−0.126241 | + | 0.992000i | \(0.540291\pi\) | |||||||
\(984\) | −1.56584 | − | 10.8906i | −0.0499171 | − | 0.347181i | ||||
\(985\) | 5.36186 | − | 3.44586i | 0.170843 | − | 0.109794i | ||||
\(986\) | 2.27197 | + | 2.62199i | 0.0723541 | + | 0.0835011i | ||||
\(987\) | 2.97479 | − | 0.873477i | 0.0946886 | − | 0.0278031i | ||||
\(988\) | 20.0409 | 0.637585 | ||||||||
\(989\) | 14.6526 | − | 4.46163i | 0.465927 | − | 0.141872i | ||||
\(990\) | 1.45657 | 0.0462927 | ||||||||
\(991\) | 10.3885 | − | 3.05034i | 0.330001 | − | 0.0968972i | −0.112535 | − | 0.993648i | \(-0.535897\pi\) |
0.442536 | + | 0.896751i | \(0.354079\pi\) | |||||||
\(992\) | 2.55288 | + | 2.94618i | 0.0810541 | + | 0.0935414i | ||||
\(993\) | 15.2556 | − | 9.80419i | 0.484122 | − | 0.311126i | ||||
\(994\) | 0.105760 | + | 0.735578i | 0.00335451 | + | 0.0233311i | ||||
\(995\) | 6.84988 | + | 4.40215i | 0.217156 | + | 0.139557i | ||||
\(996\) | 2.10924 | − | 4.61859i | 0.0668338 | − | 0.146346i | ||||
\(997\) | −26.8716 | + | 31.0115i | −0.851033 | + | 0.982144i | −0.999978 | − | 0.00670156i | \(-0.997867\pi\) |
0.148945 | + | 0.988845i | \(0.452412\pi\) | |||||||
\(998\) | −0.777578 | + | 5.40817i | −0.0246138 | + | 0.171193i | ||||
\(999\) | 1.05840 | + | 2.31758i | 0.0334864 | + | 0.0733250i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 690.2.m.g.331.2 | yes | 30 | |
23.18 | even | 11 | inner | 690.2.m.g.271.2 | ✓ | 30 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.m.g.271.2 | ✓ | 30 | 23.18 | even | 11 | inner | |
690.2.m.g.331.2 | yes | 30 | 1.1 | even | 1 | trivial |