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 | 211.1 | ||
Character | \(\chi\) | \(=\) | 690.211 |
Dual form | 690.2.m.h.121.1 |
$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{2}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.415415 | − | 0.909632i | −0.293743 | − | 0.643207i | ||||
\(3\) | −0.959493 | + | 0.281733i | −0.553964 | + | 0.162658i | ||||
\(4\) | −0.654861 | + | 0.755750i | −0.327430 | + | 0.377875i | ||||
\(5\) | −0.841254 | − | 0.540641i | −0.376220 | − | 0.241782i | ||||
\(6\) | 0.654861 | + | 0.755750i | 0.267346 | + | 0.308533i | ||||
\(7\) | −0.588355 | − | 4.09210i | −0.222377 | − | 1.54667i | −0.729008 | − | 0.684505i | \(-0.760018\pi\) |
0.506631 | − | 0.862163i | \(-0.330891\pi\) | |||||||
\(8\) | 0.959493 | + | 0.281733i | 0.339232 | + | 0.0996075i | ||||
\(9\) | 0.841254 | − | 0.540641i | 0.280418 | − | 0.180214i | ||||
\(10\) | −0.142315 | + | 0.989821i | −0.0450039 | + | 0.313009i | ||||
\(11\) | 1.71070 | − | 3.74591i | 0.515795 | − | 1.12943i | −0.455212 | − | 0.890383i | \(-0.650436\pi\) |
0.971007 | − | 0.239051i | \(-0.0768363\pi\) | |||||||
\(12\) | 0.415415 | − | 0.909632i | 0.119920 | − | 0.262588i | ||||
\(13\) | −0.950503 | + | 6.61089i | −0.263622 | + | 1.83353i | 0.241400 | + | 0.970426i | \(0.422393\pi\) |
−0.505022 | + | 0.863106i | \(0.668516\pi\) | |||||||
\(14\) | −3.47789 | + | 2.23511i | −0.929506 | + | 0.597357i | ||||
\(15\) | 0.959493 | + | 0.281733i | 0.247740 | + | 0.0727430i | ||||
\(16\) | −0.142315 | − | 0.989821i | −0.0355787 | − | 0.247455i | ||||
\(17\) | −1.01785 | − | 1.17466i | −0.246864 | − | 0.284897i | 0.618771 | − | 0.785571i | \(-0.287631\pi\) |
−0.865636 | + | 0.500675i | \(0.833085\pi\) | |||||||
\(18\) | −0.841254 | − | 0.540641i | −0.198285 | − | 0.127430i | ||||
\(19\) | 2.03851 | − | 2.35257i | 0.467667 | − | 0.539716i | −0.472095 | − | 0.881548i | \(-0.656502\pi\) |
0.939761 | + | 0.341832i | \(0.111047\pi\) | |||||||
\(20\) | 0.959493 | − | 0.281733i | 0.214549 | − | 0.0629973i | ||||
\(21\) | 1.71740 | + | 3.76058i | 0.374767 | + | 0.820626i | ||||
\(22\) | −4.11805 | −0.877971 | ||||||||
\(23\) | −3.65046 | + | 3.11033i | −0.761173 | + | 0.648549i | ||||
\(24\) | −1.00000 | −0.204124 | ||||||||
\(25\) | 0.415415 | + | 0.909632i | 0.0830830 | + | 0.181926i | ||||
\(26\) | 6.40833 | − | 1.88166i | 1.25678 | − | 0.369023i | ||||
\(27\) | −0.654861 | + | 0.755750i | −0.126028 | + | 0.145444i | ||||
\(28\) | 3.47789 | + | 2.23511i | 0.657260 | + | 0.422395i | ||||
\(29\) | −2.33110 | − | 2.69023i | −0.432874 | − | 0.499563i | 0.496842 | − | 0.867841i | \(-0.334493\pi\) |
−0.929716 | + | 0.368278i | \(0.879947\pi\) | |||||||
\(30\) | −0.142315 | − | 0.989821i | −0.0259830 | − | 0.180716i | ||||
\(31\) | −6.73851 | − | 1.97861i | −1.21027 | − | 0.355368i | −0.386500 | − | 0.922289i | \(-0.626316\pi\) |
−0.823772 | + | 0.566921i | \(0.808134\pi\) | |||||||
\(32\) | −0.841254 | + | 0.540641i | −0.148714 | + | 0.0955727i | ||||
\(33\) | −0.586059 | + | 4.07613i | −0.102020 | + | 0.709564i | ||||
\(34\) | −0.645678 | + | 1.41384i | −0.110733 | + | 0.242471i | ||||
\(35\) | −1.71740 | + | 3.76058i | −0.290294 | + | 0.635654i | ||||
\(36\) | −0.142315 | + | 0.989821i | −0.0237191 | + | 0.164970i | ||||
\(37\) | −9.03066 | + | 5.80365i | −1.48463 | + | 0.954115i | −0.487937 | + | 0.872879i | \(0.662250\pi\) |
−0.996695 | + | 0.0812358i | \(0.974113\pi\) | |||||||
\(38\) | −2.98680 | − | 0.877003i | −0.484523 | − | 0.142269i | ||||
\(39\) | −0.950503 | − | 6.61089i | −0.152202 | − | 1.05859i | ||||
\(40\) | −0.654861 | − | 0.755750i | −0.103543 | − | 0.119494i | ||||
\(41\) | −8.31888 | − | 5.34622i | −1.29919 | − | 0.834940i | −0.306068 | − | 0.952010i | \(-0.599013\pi\) |
−0.993124 | + | 0.117070i | \(0.962650\pi\) | |||||||
\(42\) | 2.70731 | − | 3.12440i | 0.417747 | − | 0.482106i | ||||
\(43\) | −3.96316 | + | 1.16369i | −0.604376 | + | 0.177461i | −0.569583 | − | 0.821934i | \(-0.692895\pi\) |
−0.0347927 | + | 0.999395i | \(0.511077\pi\) | |||||||
\(44\) | 1.71070 | + | 3.74591i | 0.257898 | + | 0.564717i | ||||
\(45\) | −1.00000 | −0.149071 | ||||||||
\(46\) | 4.34571 | + | 2.02850i | 0.640740 | + | 0.299085i | ||||
\(47\) | 1.01242 | 0.147676 | 0.0738382 | − | 0.997270i | \(-0.476475\pi\) | ||||
0.0738382 | + | 0.997270i | \(0.476475\pi\) | |||||||
\(48\) | 0.415415 | + | 0.909632i | 0.0599600 | + | 0.131294i | ||||
\(49\) | −9.68265 | + | 2.84308i | −1.38324 | + | 0.406155i | ||||
\(50\) | 0.654861 | − | 0.755750i | 0.0926113 | − | 0.106879i | ||||
\(51\) | 1.30756 | + | 0.840316i | 0.183095 | + | 0.117668i | ||||
\(52\) | −4.37373 | − | 5.04756i | −0.606528 | − | 0.699970i | ||||
\(53\) | −0.927860 | − | 6.45341i | −0.127451 | − | 0.886444i | −0.948768 | − | 0.315972i | \(-0.897669\pi\) |
0.821317 | − | 0.570472i | \(-0.193240\pi\) | |||||||
\(54\) | 0.959493 | + | 0.281733i | 0.130570 | + | 0.0383389i | ||||
\(55\) | −3.46432 | + | 2.22639i | −0.467129 | + | 0.300206i | ||||
\(56\) | 0.588355 | − | 4.09210i | 0.0786222 | − | 0.546830i | ||||
\(57\) | −1.29314 | + | 2.83159i | −0.171281 | + | 0.375053i | ||||
\(58\) | −1.47875 | + | 3.23800i | −0.194169 | + | 0.425170i | ||||
\(59\) | 0.344016 | − | 2.39268i | 0.0447871 | − | 0.311501i | −0.955097 | − | 0.296292i | \(-0.904250\pi\) |
0.999884 | − | 0.0152085i | \(-0.00484120\pi\) | |||||||
\(60\) | −0.841254 | + | 0.540641i | −0.108605 | + | 0.0697964i | ||||
\(61\) | 8.74442 | + | 2.56759i | 1.11961 | + | 0.328747i | 0.788616 | − | 0.614887i | \(-0.210798\pi\) |
0.330993 | + | 0.943633i | \(0.392616\pi\) | |||||||
\(62\) | 0.999476 | + | 6.95151i | 0.126934 | + | 0.882842i | ||||
\(63\) | −2.70731 | − | 3.12440i | −0.341089 | − | 0.393638i | ||||
\(64\) | 0.841254 | + | 0.540641i | 0.105157 | + | 0.0675801i | ||||
\(65\) | 4.37373 | − | 5.04756i | 0.542495 | − | 0.626072i | ||||
\(66\) | 3.95124 | − | 1.16019i | 0.486364 | − | 0.142809i | ||||
\(67\) | 3.02680 | + | 6.62777i | 0.369783 | + | 0.809712i | 0.999460 | + | 0.0328547i | \(0.0104599\pi\) |
−0.629677 | + | 0.776857i | \(0.716813\pi\) | |||||||
\(68\) | 1.55430 | 0.188486 | ||||||||
\(69\) | 2.62631 | − | 4.01279i | 0.316170 | − | 0.483083i | ||||
\(70\) | 4.13418 | 0.494129 | ||||||||
\(71\) | 0.258490 | + | 0.566015i | 0.0306772 | + | 0.0671736i | 0.924350 | − | 0.381545i | \(-0.124608\pi\) |
−0.893673 | + | 0.448719i | \(0.851881\pi\) | |||||||
\(72\) | 0.959493 | − | 0.281733i | 0.113077 | − | 0.0332025i | ||||
\(73\) | −4.71259 | + | 5.43862i | −0.551567 | + | 0.636542i | −0.961248 | − | 0.275687i | \(-0.911095\pi\) |
0.409681 | + | 0.912229i | \(0.365640\pi\) | |||||||
\(74\) | 9.03066 | + | 5.80365i | 1.04979 | + | 0.674661i | ||||
\(75\) | −0.654861 | − | 0.755750i | −0.0756168 | − | 0.0872664i | ||||
\(76\) | 0.443011 | + | 3.08121i | 0.0508168 | + | 0.353439i | ||||
\(77\) | −16.3351 | − | 4.79643i | −1.86156 | − | 0.546603i | ||||
\(78\) | −5.61863 | + | 3.61087i | −0.636184 | + | 0.408851i | ||||
\(79\) | −1.65649 | + | 11.5212i | −0.186370 | + | 1.29623i | 0.654941 | + | 0.755680i | \(0.272693\pi\) |
−0.841311 | + | 0.540551i | \(0.818216\pi\) | |||||||
\(80\) | −0.415415 | + | 0.909632i | −0.0464448 | + | 0.101700i | ||||
\(81\) | 0.415415 | − | 0.909632i | 0.0461572 | − | 0.101070i | ||||
\(82\) | −1.40731 | + | 9.78802i | −0.155411 | + | 1.08091i | ||||
\(83\) | 12.6674 | − | 8.14081i | 1.39042 | − | 0.893570i | 0.390785 | − | 0.920482i | \(-0.372204\pi\) |
0.999638 | + | 0.0269115i | \(0.00856724\pi\) | |||||||
\(84\) | −3.96671 | − | 1.16473i | −0.432804 | − | 0.127083i | ||||
\(85\) | 0.221199 | + | 1.53848i | 0.0239924 | + | 0.166871i | ||||
\(86\) | 2.70488 | + | 3.12160i | 0.291675 | + | 0.336611i | ||||
\(87\) | 2.99460 | + | 1.92451i | 0.321054 | + | 0.206329i | ||||
\(88\) | 2.69675 | − | 3.11221i | 0.287474 | − | 0.331763i | ||||
\(89\) | 8.17130 | − | 2.39931i | 0.866156 | − | 0.254326i | 0.181677 | − | 0.983358i | \(-0.441848\pi\) |
0.684480 | + | 0.729032i | \(0.260029\pi\) | |||||||
\(90\) | 0.415415 | + | 0.909632i | 0.0437886 | + | 0.0958836i | ||||
\(91\) | 27.6117 | 2.89449 | ||||||||
\(92\) | 0.0399113 | − | 4.79567i | 0.00416104 | − | 0.499983i | ||||
\(93\) | 7.02299 | 0.728250 | ||||||||
\(94\) | −0.420574 | − | 0.920928i | −0.0433789 | − | 0.0949865i | ||||
\(95\) | −2.98680 | + | 0.877003i | −0.306439 | + | 0.0899786i | ||||
\(96\) | 0.654861 | − | 0.755750i | 0.0668364 | − | 0.0771334i | ||||
\(97\) | −1.31434 | − | 0.844676i | −0.133451 | − | 0.0857638i | 0.472212 | − | 0.881485i | \(-0.343456\pi\) |
−0.605663 | + | 0.795721i | \(0.707092\pi\) | |||||||
\(98\) | 6.60848 | + | 7.62659i | 0.667557 | + | 0.770402i | ||||
\(99\) | −0.586059 | − | 4.07613i | −0.0589012 | − | 0.409667i | ||||
\(100\) | −0.959493 | − | 0.281733i | −0.0959493 | − | 0.0281733i | ||||
\(101\) | −3.52843 | + | 2.26759i | −0.351092 | + | 0.225633i | −0.704285 | − | 0.709917i | \(-0.748732\pi\) |
0.353193 | + | 0.935550i | \(0.385096\pi\) | |||||||
\(102\) | 0.221199 | − | 1.53848i | 0.0219020 | − | 0.152332i | ||||
\(103\) | −4.51783 | + | 9.89267i | −0.445155 | + | 0.974754i | 0.545468 | + | 0.838132i | \(0.316352\pi\) |
−0.990623 | + | 0.136622i | \(0.956375\pi\) | |||||||
\(104\) | −2.77450 | + | 6.07532i | −0.272063 | + | 0.595734i | ||||
\(105\) | 0.588355 | − | 4.09210i | 0.0574176 | − | 0.399348i | ||||
\(106\) | −5.48478 | + | 3.52486i | −0.532729 | + | 0.342364i | ||||
\(107\) | −7.00637 | − | 2.05726i | −0.677332 | − | 0.198883i | −0.0750664 | − | 0.997179i | \(-0.523917\pi\) |
−0.602265 | + | 0.798296i | \(0.705735\pi\) | |||||||
\(108\) | −0.142315 | − | 0.989821i | −0.0136943 | − | 0.0952456i | ||||
\(109\) | −10.0668 | − | 11.6177i | −0.964225 | − | 1.11277i | −0.993572 | − | 0.113205i | \(-0.963888\pi\) |
0.0293468 | − | 0.999569i | \(-0.490657\pi\) | |||||||
\(110\) | 3.46432 | + | 2.22639i | 0.330310 | + | 0.212278i | ||||
\(111\) | 7.02978 | − | 8.11280i | 0.667237 | − | 0.770033i | ||||
\(112\) | −3.96671 | + | 1.16473i | −0.374819 | + | 0.110057i | ||||
\(113\) | −6.51649 | − | 14.2691i | −0.613020 | − | 1.34233i | −0.920489 | − | 0.390768i | \(-0.872209\pi\) |
0.307469 | − | 0.951558i | \(-0.400518\pi\) | |||||||
\(114\) | 3.11289 | 0.291549 | ||||||||
\(115\) | 4.75253 | − | 0.642989i | 0.443176 | − | 0.0599591i | ||||
\(116\) | 3.55968 | 0.330508 | ||||||||
\(117\) | 2.77450 | + | 6.07532i | 0.256503 | + | 0.561663i | ||||
\(118\) | −2.31937 | + | 0.681029i | −0.213515 | + | 0.0626938i | ||||
\(119\) | −4.20796 | + | 4.85625i | −0.385743 | + | 0.445171i | ||||
\(120\) | 0.841254 | + | 0.540641i | 0.0767956 | + | 0.0493535i | ||||
\(121\) | −3.90188 | − | 4.50300i | −0.354716 | − | 0.409364i | ||||
\(122\) | −1.29700 | − | 9.02082i | −0.117425 | − | 0.816707i | ||||
\(123\) | 9.48811 | + | 2.78596i | 0.855514 | + | 0.251202i | ||||
\(124\) | 5.90812 | − | 3.79692i | 0.530565 | − | 0.340973i | ||||
\(125\) | 0.142315 | − | 0.989821i | 0.0127290 | − | 0.0885323i | ||||
\(126\) | −1.71740 | + | 3.76058i | −0.152998 | + | 0.335019i | ||||
\(127\) | 8.38913 | − | 18.3696i | 0.744414 | − | 1.63004i | −0.0317389 | − | 0.999496i | \(-0.510104\pi\) |
0.776153 | − | 0.630544i | \(-0.217168\pi\) | |||||||
\(128\) | 0.142315 | − | 0.989821i | 0.0125790 | − | 0.0874887i | ||||
\(129\) | 3.47477 | − | 2.23310i | 0.305937 | − | 0.196614i | ||||
\(130\) | −6.40833 | − | 1.88166i | −0.562048 | − | 0.165032i | ||||
\(131\) | 1.51297 | + | 10.5229i | 0.132189 | + | 0.919392i | 0.942693 | + | 0.333660i | \(0.108284\pi\) |
−0.810505 | + | 0.585732i | \(0.800807\pi\) | |||||||
\(132\) | −2.69675 | − | 3.11221i | −0.234722 | − | 0.270883i | ||||
\(133\) | −10.8263 | − | 6.95764i | −0.938760 | − | 0.603304i | ||||
\(134\) | 4.77146 | − | 5.50655i | 0.412191 | − | 0.475694i | ||||
\(135\) | 0.959493 | − | 0.281733i | 0.0825800 | − | 0.0242477i | ||||
\(136\) | −0.645678 | − | 1.41384i | −0.0553664 | − | 0.121236i | ||||
\(137\) | 1.36262 | 0.116416 | 0.0582082 | − | 0.998304i | \(-0.481461\pi\) | ||||
0.0582082 | + | 0.998304i | \(0.481461\pi\) | |||||||
\(138\) | −4.74117 | − | 0.721999i | −0.403595 | − | 0.0614607i | ||||
\(139\) | 7.97454 | 0.676392 | 0.338196 | − | 0.941076i | \(-0.390183\pi\) | ||||
0.338196 | + | 0.941076i | \(0.390183\pi\) | |||||||
\(140\) | −1.71740 | − | 3.76058i | −0.145147 | − | 0.317827i | ||||
\(141\) | −0.971409 | + | 0.285231i | −0.0818074 | + | 0.0240208i | ||||
\(142\) | 0.407484 | − | 0.470262i | 0.0341953 | − | 0.0394635i | ||||
\(143\) | 23.1378 | + | 14.8697i | 1.93488 | + | 1.24347i | ||||
\(144\) | −0.654861 | − | 0.755750i | −0.0545717 | − | 0.0629791i | ||||
\(145\) | 0.506596 | + | 3.52345i | 0.0420705 | + | 0.292607i | ||||
\(146\) | 6.90482 | + | 2.02744i | 0.571447 | + | 0.167792i | ||||
\(147\) | 8.48945 | − | 5.45584i | 0.700198 | − | 0.449990i | ||||
\(148\) | 1.52772 | − | 10.6255i | 0.125578 | − | 0.873411i | ||||
\(149\) | 0.0294510 | − | 0.0644886i | 0.00241272 | − | 0.00528311i | −0.908422 | − | 0.418055i | \(-0.862712\pi\) |
0.910835 | + | 0.412772i | \(0.135439\pi\) | |||||||
\(150\) | −0.415415 | + | 0.909632i | −0.0339185 | + | 0.0742711i | ||||
\(151\) | −0.995787 | + | 6.92585i | −0.0810360 | + | 0.563618i | 0.908339 | + | 0.418234i | \(0.137351\pi\) |
−0.989375 | + | 0.145384i | \(0.953558\pi\) | |||||||
\(152\) | 2.61873 | − | 1.68296i | 0.212407 | − | 0.136506i | ||||
\(153\) | −1.49134 | − | 0.437896i | −0.120567 | − | 0.0354018i | ||||
\(154\) | 2.42287 | + | 16.8515i | 0.195241 | + | 1.35793i | ||||
\(155\) | 4.59908 | + | 5.30762i | 0.369407 | + | 0.426319i | ||||
\(156\) | 5.61863 | + | 3.61087i | 0.449850 | + | 0.289101i | ||||
\(157\) | 3.63654 | − | 4.19679i | 0.290228 | − | 0.334941i | −0.591847 | − | 0.806050i | \(-0.701601\pi\) |
0.882075 | + | 0.471110i | \(0.156146\pi\) | |||||||
\(158\) | 11.1681 | − | 3.27926i | 0.888490 | − | 0.260884i | ||||
\(159\) | 2.70841 | + | 5.93059i | 0.214791 | + | 0.470327i | ||||
\(160\) | 1.00000 | 0.0790569 | ||||||||
\(161\) | 14.8755 | + | 13.1081i | 1.17236 | + | 1.03306i | ||||
\(162\) | −1.00000 | −0.0785674 | ||||||||
\(163\) | −10.0381 | − | 21.9804i | −0.786246 | − | 1.72164i | −0.687095 | − | 0.726567i | \(-0.741115\pi\) |
−0.0991509 | − | 0.995072i | \(-0.531613\pi\) | |||||||
\(164\) | 9.48811 | − | 2.78596i | 0.740897 | − | 0.217547i | ||||
\(165\) | 2.69675 | − | 3.11221i | 0.209942 | − | 0.242286i | ||||
\(166\) | −12.6674 | − | 8.14081i | −0.983177 | − | 0.631850i | ||||
\(167\) | −5.23177 | − | 6.03778i | −0.404847 | − | 0.467218i | 0.516315 | − | 0.856399i | \(-0.327303\pi\) |
−0.921161 | + | 0.389181i | \(0.872758\pi\) | |||||||
\(168\) | 0.588355 | + | 4.09210i | 0.0453926 | + | 0.315712i | ||||
\(169\) | −30.3270 | − | 8.90482i | −2.33285 | − | 0.684987i | ||||
\(170\) | 1.30756 | − | 0.840316i | 0.100285 | − | 0.0644493i | ||||
\(171\) | 0.443011 | − | 3.08121i | 0.0338779 | − | 0.235626i | ||||
\(172\) | 1.71586 | − | 3.75721i | 0.130833 | − | 0.286484i | ||||
\(173\) | −1.04105 | + | 2.27959i | −0.0791497 | + | 0.173314i | −0.945070 | − | 0.326869i | \(-0.894006\pi\) |
0.865920 | + | 0.500183i | \(0.166734\pi\) | |||||||
\(174\) | 0.506596 | − | 3.52345i | 0.0384049 | − | 0.267112i | ||||
\(175\) | 3.47789 | − | 2.23511i | 0.262904 | − | 0.168958i | ||||
\(176\) | −3.95124 | − | 1.16019i | −0.297836 | − | 0.0874525i | ||||
\(177\) | 0.344016 | + | 2.39268i | 0.0258578 | + | 0.179845i | ||||
\(178\) | −5.57697 | − | 6.43617i | −0.418012 | − | 0.482411i | ||||
\(179\) | −16.1333 | − | 10.3683i | −1.20586 | − | 0.774961i | −0.225901 | − | 0.974150i | \(-0.572533\pi\) |
−0.979961 | + | 0.199189i | \(0.936169\pi\) | |||||||
\(180\) | 0.654861 | − | 0.755750i | 0.0488104 | − | 0.0563302i | ||||
\(181\) | 15.7806 | − | 4.63360i | 1.17296 | − | 0.344413i | 0.363505 | − | 0.931592i | \(-0.381580\pi\) |
0.809457 | + | 0.587180i | \(0.199762\pi\) | |||||||
\(182\) | −11.4703 | − | 25.1164i | −0.850235 | − | 1.86175i | ||||
\(183\) | −9.11358 | −0.673696 | ||||||||
\(184\) | −4.37887 | + | 1.95589i | −0.322815 | + | 0.144190i | ||||
\(185\) | 10.7348 | 0.789236 | ||||||||
\(186\) | −2.91746 | − | 6.38834i | −0.213918 | − | 0.468416i | ||||
\(187\) | −6.14140 | + | 1.80328i | −0.449103 | + | 0.131869i | ||||
\(188\) | −0.662993 | + | 0.765135i | −0.0483538 | + | 0.0558032i | ||||
\(189\) | 3.47789 | + | 2.23511i | 0.252979 | + | 0.162580i | ||||
\(190\) | 2.03851 | + | 2.35257i | 0.147889 | + | 0.170673i | ||||
\(191\) | 0.944967 | + | 6.57239i | 0.0683754 | + | 0.475561i | 0.995024 | + | 0.0996332i | \(0.0317669\pi\) |
−0.926649 | + | 0.375928i | \(0.877324\pi\) | |||||||
\(192\) | −0.959493 | − | 0.281733i | −0.0692454 | − | 0.0203323i | ||||
\(193\) | 1.15563 | − | 0.742677i | 0.0831839 | − | 0.0534591i | −0.498388 | − | 0.866954i | \(-0.666074\pi\) |
0.581572 | + | 0.813495i | \(0.302438\pi\) | |||||||
\(194\) | −0.222347 | + | 1.54646i | −0.0159636 | + | 0.111029i | ||||
\(195\) | −2.77450 | + | 6.07532i | −0.198686 | + | 0.435063i | ||||
\(196\) | 4.19213 | − | 9.17949i | 0.299438 | − | 0.655678i | ||||
\(197\) | −0.286779 | + | 1.99460i | −0.0204322 | + | 0.142109i | −0.997484 | − | 0.0708932i | \(-0.977415\pi\) |
0.977052 | + | 0.213002i | \(0.0683241\pi\) | |||||||
\(198\) | −3.46432 | + | 2.22639i | −0.246199 | + | 0.158222i | ||||
\(199\) | −10.0722 | − | 2.95746i | −0.713998 | − | 0.209649i | −0.0954939 | − | 0.995430i | \(-0.530443\pi\) |
−0.618505 | + | 0.785781i | \(0.712261\pi\) | |||||||
\(200\) | 0.142315 | + | 0.989821i | 0.0100632 | + | 0.0699909i | ||||
\(201\) | −4.77146 | − | 5.50655i | −0.336553 | − | 0.388402i | ||||
\(202\) | 3.52843 | + | 2.26759i | 0.248260 | + | 0.159547i | ||||
\(203\) | −9.63717 | + | 11.1219i | −0.676396 | + | 0.780603i | ||||
\(204\) | −1.49134 | + | 0.437896i | −0.104414 | + | 0.0306588i | ||||
\(205\) | 4.10790 | + | 8.99506i | 0.286908 | + | 0.628242i | ||||
\(206\) | 10.8755 | 0.757730 | ||||||||
\(207\) | −1.38939 | + | 4.59016i | −0.0965693 | + | 0.319038i | ||||
\(208\) | 6.67887 | 0.463097 | ||||||||
\(209\) | −5.32522 | − | 11.6606i | −0.368353 | − | 0.806581i | ||||
\(210\) | −3.96671 | + | 1.16473i | −0.273729 | + | 0.0803742i | ||||
\(211\) | 10.6711 | − | 12.3151i | 0.734630 | − | 0.847808i | −0.258355 | − | 0.966050i | \(-0.583180\pi\) |
0.992985 | + | 0.118242i | \(0.0377258\pi\) | |||||||
\(212\) | 5.48478 | + | 3.52486i | 0.376696 | + | 0.242088i | ||||
\(213\) | −0.407484 | − | 0.470262i | −0.0279204 | − | 0.0322218i | ||||
\(214\) | 1.03921 | + | 7.22784i | 0.0710387 | + | 0.494085i | ||||
\(215\) | 3.96316 | + | 1.16369i | 0.270285 | + | 0.0793628i | ||||
\(216\) | −0.841254 | + | 0.540641i | −0.0572401 | + | 0.0367859i | ||||
\(217\) | −4.13201 | + | 28.7388i | −0.280499 | + | 1.95092i | ||||
\(218\) | −6.38594 | + | 13.9833i | −0.432510 | + | 0.947066i | ||||
\(219\) | 2.98946 | − | 6.54601i | 0.202009 | − | 0.442338i | ||||
\(220\) | 0.586059 | − | 4.07613i | 0.0395121 | − | 0.274813i | ||||
\(221\) | 8.73301 | − | 5.61236i | 0.587446 | − | 0.377528i | ||||
\(222\) | −10.2999 | − | 3.02433i | −0.691286 | − | 0.202980i | ||||
\(223\) | −1.77710 | − | 12.3600i | −0.119003 | − | 0.827685i | −0.958657 | − | 0.284563i | \(-0.908151\pi\) |
0.839654 | − | 0.543122i | \(-0.182758\pi\) | |||||||
\(224\) | 2.70731 | + | 3.12440i | 0.180890 | + | 0.208758i | ||||
\(225\) | 0.841254 | + | 0.540641i | 0.0560836 | + | 0.0360427i | ||||
\(226\) | −10.2726 | + | 11.8552i | −0.683323 | + | 0.788597i | ||||
\(227\) | 6.01000 | − | 1.76470i | 0.398898 | − | 0.117127i | −0.0761296 | − | 0.997098i | \(-0.524256\pi\) |
0.475028 | + | 0.879971i | \(0.342438\pi\) | |||||||
\(228\) | −1.29314 | − | 2.83159i | −0.0856404 | − | 0.187526i | ||||
\(229\) | 24.2957 | 1.60550 | 0.802751 | − | 0.596314i | \(-0.203369\pi\) | ||||
0.802751 | + | 0.596314i | \(0.203369\pi\) | |||||||
\(230\) | −2.55916 | − | 4.05595i | −0.168746 | − | 0.267441i | ||||
\(231\) | 17.0247 | 1.12015 | ||||||||
\(232\) | −1.47875 | − | 3.23800i | −0.0970844 | − | 0.212585i | ||||
\(233\) | −0.144385 | + | 0.0423954i | −0.00945900 | + | 0.00277741i | −0.286459 | − | 0.958093i | \(-0.592478\pi\) |
0.277000 | + | 0.960870i | \(0.410660\pi\) | |||||||
\(234\) | 4.37373 | − | 5.04756i | 0.285920 | − | 0.329969i | ||||
\(235\) | −0.851701 | − | 0.547355i | −0.0555588 | − | 0.0357055i | ||||
\(236\) | 1.58299 | + | 1.82686i | 0.103044 | + | 0.118919i | ||||
\(237\) | −1.65649 | − | 11.5212i | −0.107601 | − | 0.748379i | ||||
\(238\) | 6.16545 | + | 1.81034i | 0.399647 | + | 0.117347i | ||||
\(239\) | 14.9118 | − | 9.58325i | 0.964566 | − | 0.619889i | 0.0393078 | − | 0.999227i | \(-0.487485\pi\) |
0.925258 | + | 0.379338i | \(0.123848\pi\) | |||||||
\(240\) | 0.142315 | − | 0.989821i | 0.00918638 | − | 0.0638927i | ||||
\(241\) | −0.481717 | + | 1.05481i | −0.0310301 | + | 0.0679465i | −0.924512 | − | 0.381152i | \(-0.875527\pi\) |
0.893482 | + | 0.449098i | \(0.148255\pi\) | |||||||
\(242\) | −2.47518 | + | 5.41989i | −0.159111 | + | 0.348403i | ||||
\(243\) | −0.142315 | + | 0.989821i | −0.00912950 | + | 0.0634971i | ||||
\(244\) | −7.66684 | + | 4.92718i | −0.490819 | + | 0.315430i | ||||
\(245\) | 9.68265 | + | 2.84308i | 0.618602 | + | 0.181638i | ||||
\(246\) | −1.40731 | − | 9.78802i | −0.0897265 | − | 0.624062i | ||||
\(247\) | 13.6150 | + | 15.7125i | 0.866299 | + | 0.999763i | ||||
\(248\) | −5.90812 | − | 3.79692i | −0.375166 | − | 0.241104i | ||||
\(249\) | −9.86071 | + | 11.3799i | −0.624897 | + | 0.721169i | ||||
\(250\) | −0.959493 | + | 0.281733i | −0.0606837 | + | 0.0178183i | ||||
\(251\) | −10.1422 | − | 22.2083i | −0.640170 | − | 1.40178i | −0.899900 | − | 0.436096i | \(-0.856361\pi\) |
0.259730 | − | 0.965681i | \(-0.416366\pi\) | |||||||
\(252\) | 4.13418 | 0.260429 | ||||||||
\(253\) | 5.40618 | + | 18.9951i | 0.339883 | + | 1.19421i | ||||
\(254\) | −20.1946 | −1.26712 | ||||||||
\(255\) | −0.645678 | − | 1.41384i | −0.0404339 | − | 0.0885379i | ||||
\(256\) | −0.959493 | + | 0.281733i | −0.0599683 | + | 0.0176083i | ||||
\(257\) | −17.5814 | + | 20.2900i | −1.09670 | + | 1.26565i | −0.135204 | + | 0.990818i | \(0.543169\pi\) |
−0.961491 | + | 0.274836i | \(0.911376\pi\) | |||||||
\(258\) | −3.47477 | − | 2.23310i | −0.216330 | − | 0.139027i | ||||
\(259\) | 29.0624 | + | 33.5397i | 1.80585 | + | 2.08406i | ||||
\(260\) | 0.950503 | + | 6.61089i | 0.0589477 | + | 0.409990i | ||||
\(261\) | −3.41549 | − | 1.00288i | −0.211414 | − | 0.0620766i | ||||
\(262\) | 8.94348 | − | 5.74763i | 0.552530 | − | 0.355089i | ||||
\(263\) | 1.74630 | − | 12.1458i | 0.107682 | − | 0.748943i | −0.862411 | − | 0.506209i | \(-0.831047\pi\) |
0.970093 | − | 0.242734i | \(-0.0780443\pi\) | |||||||
\(264\) | −1.71070 | + | 3.74591i | −0.105286 | + | 0.230545i | ||||
\(265\) | −2.70841 | + | 5.93059i | −0.166376 | + | 0.364313i | ||||
\(266\) | −1.83149 | + | 12.7383i | −0.112296 | + | 0.781033i | ||||
\(267\) | −7.16434 | + | 4.60424i | −0.438451 | + | 0.281775i | ||||
\(268\) | −6.99107 | − | 2.05276i | −0.427048 | − | 0.125393i | ||||
\(269\) | 1.93518 | + | 13.4594i | 0.117990 | + | 0.820637i | 0.959764 | + | 0.280807i | \(0.0906022\pi\) |
−0.841774 | + | 0.539830i | \(0.818489\pi\) | |||||||
\(270\) | −0.654861 | − | 0.755750i | −0.0398536 | − | 0.0459935i | ||||
\(271\) | 16.2613 | + | 10.4505i | 0.987802 | + | 0.634822i | 0.931557 | − | 0.363595i | \(-0.118451\pi\) |
0.0562452 | + | 0.998417i | \(0.482087\pi\) | |||||||
\(272\) | −1.01785 | + | 1.17466i | −0.0617161 | + | 0.0712241i | ||||
\(273\) | −26.4932 | + | 7.77910i | −1.60344 | + | 0.470813i | ||||
\(274\) | −0.566052 | − | 1.23948i | −0.0341965 | − | 0.0748798i | ||||
\(275\) | 4.11805 | 0.248328 | ||||||||
\(276\) | 1.31280 | + | 4.61265i | 0.0790213 | + | 0.277649i | ||||
\(277\) | −7.06148 | −0.424283 | −0.212142 | − | 0.977239i | \(-0.568044\pi\) | ||||
−0.212142 | + | 0.977239i | \(0.568044\pi\) | |||||||
\(278\) | −3.31274 | − | 7.25390i | −0.198685 | − | 0.435060i | ||||
\(279\) | −6.73851 | + | 1.97861i | −0.403424 | + | 0.118456i | ||||
\(280\) | −2.70731 | + | 3.12440i | −0.161793 | + | 0.186719i | ||||
\(281\) | −26.7908 | − | 17.2174i | −1.59820 | − | 1.02710i | −0.968091 | − | 0.250600i | \(-0.919372\pi\) |
−0.630113 | − | 0.776503i | \(-0.716992\pi\) | |||||||
\(282\) | 0.662993 | + | 0.765135i | 0.0394807 | + | 0.0455631i | ||||
\(283\) | −4.44778 | − | 30.9350i | −0.264393 | − | 1.83890i | −0.498750 | − | 0.866746i | \(-0.666208\pi\) |
0.234357 | − | 0.972151i | \(-0.424702\pi\) | |||||||
\(284\) | −0.597041 | − | 0.175307i | −0.0354278 | − | 0.0104026i | ||||
\(285\) | 2.61873 | − | 1.68296i | 0.155120 | − | 0.0996898i | ||||
\(286\) | 3.91422 | − | 27.2240i | 0.231453 | − | 1.60979i | ||||
\(287\) | −16.9828 | + | 37.1872i | −1.00246 | + | 2.19509i | ||||
\(288\) | −0.415415 | + | 0.909632i | −0.0244786 | + | 0.0536006i | ||||
\(289\) | 2.07554 | − | 14.4357i | 0.122091 | − | 0.849160i | ||||
\(290\) | 2.99460 | − | 1.92451i | 0.175849 | − | 0.113011i | ||||
\(291\) | 1.49907 | + | 0.440168i | 0.0878773 | + | 0.0258031i | ||||
\(292\) | −1.02414 | − | 7.12308i | −0.0599335 | − | 0.416847i | ||||
\(293\) | 10.5111 | + | 12.1305i | 0.614066 | + | 0.708669i | 0.974569 | − | 0.224089i | \(-0.0719405\pi\) |
−0.360503 | + | 0.932758i | \(0.617395\pi\) | |||||||
\(294\) | −8.48945 | − | 5.45584i | −0.495115 | − | 0.318191i | ||||
\(295\) | −1.58299 | + | 1.82686i | −0.0921651 | + | 0.106364i | ||||
\(296\) | −10.2999 | + | 3.02433i | −0.598672 | + | 0.175786i | ||||
\(297\) | 1.71070 | + | 3.74591i | 0.0992648 | + | 0.217360i | ||||
\(298\) | −0.0708953 | −0.00410685 | ||||||||
\(299\) | −17.0923 | − | 27.0892i | −0.988473 | − | 1.56661i | ||||
\(300\) | 1.00000 | 0.0577350 | ||||||||
\(301\) | 7.09367 | + | 15.5330i | 0.408872 | + | 0.895305i | ||||
\(302\) | 6.71364 | − | 1.97130i | 0.386326 | − | 0.113436i | ||||
\(303\) | 2.74665 | − | 3.16981i | 0.157791 | − | 0.182101i | ||||
\(304\) | −2.61873 | − | 1.68296i | −0.150195 | − | 0.0965242i | ||||
\(305\) | −5.96813 | − | 6.88759i | −0.341734 | − | 0.394382i | ||||
\(306\) | 0.221199 | + | 1.53848i | 0.0126451 | + | 0.0879488i | ||||
\(307\) | 16.5158 | + | 4.84948i | 0.942608 | + | 0.276775i | 0.716706 | − | 0.697375i | \(-0.245649\pi\) |
0.225902 | + | 0.974150i | \(0.427467\pi\) | |||||||
\(308\) | 14.3221 | − | 9.20427i | 0.816079 | − | 0.524462i | ||||
\(309\) | 1.54774 | − | 10.7648i | 0.0880479 | − | 0.612386i | ||||
\(310\) | 2.91746 | − | 6.38834i | 0.165700 | − | 0.362833i | ||||
\(311\) | 1.15249 | − | 2.52360i | 0.0653518 | − | 0.143101i | −0.874138 | − | 0.485678i | \(-0.838573\pi\) |
0.939490 | + | 0.342578i | \(0.111300\pi\) | |||||||
\(312\) | 0.950503 | − | 6.61089i | 0.0538116 | − | 0.374268i | ||||
\(313\) | −14.4709 | + | 9.29991i | −0.817946 | + | 0.525662i | −0.881427 | − | 0.472321i | \(-0.843416\pi\) |
0.0634804 | + | 0.997983i | \(0.479780\pi\) | |||||||
\(314\) | −5.32821 | − | 1.56450i | −0.300688 | − | 0.0882901i | ||||
\(315\) | 0.588355 | + | 4.09210i | 0.0331500 | + | 0.230564i | ||||
\(316\) | −7.62234 | − | 8.79664i | −0.428790 | − | 0.494850i | ||||
\(317\) | 2.32519 | + | 1.49431i | 0.130596 | + | 0.0839288i | 0.604308 | − | 0.796751i | \(-0.293450\pi\) |
−0.473712 | + | 0.880680i | \(0.657086\pi\) | |||||||
\(318\) | 4.26954 | − | 4.92732i | 0.239424 | − | 0.276310i | ||||
\(319\) | −14.0652 | + | 4.12990i | −0.787497 | + | 0.231230i | ||||
\(320\) | −0.415415 | − | 0.909632i | −0.0232224 | − | 0.0508500i | ||||
\(321\) | 7.30216 | 0.407567 | ||||||||
\(322\) | 5.74398 | − | 18.9766i | 0.320100 | − | 1.05752i | ||||
\(323\) | −4.83836 | −0.269213 | ||||||||
\(324\) | 0.415415 | + | 0.909632i | 0.0230786 | + | 0.0505351i | ||||
\(325\) | −6.40833 | + | 1.88166i | −0.355470 | + | 0.104376i | ||||
\(326\) | −15.8241 | + | 18.2620i | −0.876416 | + | 1.01144i | ||||
\(327\) | 12.9321 | + | 8.31096i | 0.715147 | + | 0.459597i | ||||
\(328\) | −6.47571 | − | 7.47336i | −0.357561 | − | 0.412647i | ||||
\(329\) | −0.595661 | − | 4.14292i | −0.0328399 | − | 0.228406i | ||||
\(330\) | −3.95124 | − | 1.16019i | −0.217509 | − | 0.0638663i | ||||
\(331\) | 12.0186 | − | 7.72386i | 0.660599 | − | 0.424541i | −0.166926 | − | 0.985969i | \(-0.553384\pi\) |
0.827526 | + | 0.561428i | \(0.189748\pi\) | |||||||
\(332\) | −2.14294 | + | 14.9044i | −0.117609 | + | 0.817988i | ||||
\(333\) | −4.45938 | + | 9.76469i | −0.244373 | + | 0.535102i | ||||
\(334\) | −3.31881 | + | 7.26717i | −0.181597 | + | 0.397642i | ||||
\(335\) | 1.03694 | − | 7.21205i | 0.0566539 | − | 0.394036i | ||||
\(336\) | 3.47789 | − | 2.23511i | 0.189735 | − | 0.121935i | ||||
\(337\) | −5.31951 | − | 1.56195i | −0.289772 | − | 0.0850849i | 0.133616 | − | 0.991033i | \(-0.457341\pi\) |
−0.423388 | + | 0.905948i | \(0.639159\pi\) | |||||||
\(338\) | 4.49820 | + | 31.2857i | 0.244670 | + | 1.70172i | ||||
\(339\) | 10.2726 | + | 11.8552i | 0.557931 | + | 0.643887i | ||||
\(340\) | −1.30756 | − | 0.840316i | −0.0709122 | − | 0.0455725i | ||||
\(341\) | −18.9392 | + | 21.8571i | −1.02562 | + | 1.18363i | ||||
\(342\) | −2.98680 | + | 0.877003i | −0.161508 | + | 0.0474229i | ||||
\(343\) | 5.30922 | + | 11.6256i | 0.286671 | + | 0.627722i | ||||
\(344\) | −4.13047 | −0.222700 | ||||||||
\(345\) | −4.37887 | + | 1.95589i | −0.235750 | + | 0.105301i | ||||
\(346\) | 2.50605 | 0.134726 | ||||||||
\(347\) | 2.13797 | + | 4.68151i | 0.114772 | + | 0.251317i | 0.958297 | − | 0.285774i | \(-0.0922506\pi\) |
−0.843525 | + | 0.537091i | \(0.819523\pi\) | |||||||
\(348\) | −3.41549 | + | 1.00288i | −0.183089 | + | 0.0537599i | ||||
\(349\) | 5.49002 | − | 6.33582i | 0.293874 | − | 0.339149i | −0.589542 | − | 0.807737i | \(-0.700692\pi\) |
0.883416 | + | 0.468589i | \(0.155237\pi\) | |||||||
\(350\) | −3.47789 | − | 2.23511i | −0.185901 | − | 0.119471i | ||||
\(351\) | −4.37373 | − | 5.04756i | −0.233453 | − | 0.269419i | ||||
\(352\) | 0.586059 | + | 4.07613i | 0.0312371 | + | 0.217259i | ||||
\(353\) | 30.5074 | + | 8.95779i | 1.62375 | + | 0.476775i | 0.962022 | − | 0.272972i | \(-0.0880067\pi\) |
0.661724 | + | 0.749747i | \(0.269825\pi\) | |||||||
\(354\) | 2.03355 | − | 1.30688i | 0.108082 | − | 0.0694601i | ||||
\(355\) | 0.0885548 | − | 0.615912i | 0.00470000 | − | 0.0326892i | ||||
\(356\) | −3.53779 | + | 7.74667i | −0.187502 | + | 0.410573i | ||||
\(357\) | 2.66935 | − | 5.84506i | 0.141277 | − | 0.309353i | ||||
\(358\) | −2.72928 | + | 18.9825i | −0.144247 | + | 1.00326i | ||||
\(359\) | −22.2744 | + | 14.3149i | −1.17560 | + | 0.755512i | −0.974572 | − | 0.224073i | \(-0.928064\pi\) |
−0.201028 | + | 0.979586i | \(0.564428\pi\) | |||||||
\(360\) | −0.959493 | − | 0.281733i | −0.0505697 | − | 0.0148486i | ||||
\(361\) | 1.32494 | + | 9.21514i | 0.0697335 | + | 0.485007i | ||||
\(362\) | −10.7704 | − | 12.4297i | −0.566078 | − | 0.653288i | ||||
\(363\) | 5.01246 | + | 3.22132i | 0.263086 | + | 0.169075i | ||||
\(364\) | −18.0818 | + | 20.8675i | −0.947743 | + | 1.09375i | ||||
\(365\) | 6.90482 | − | 2.02744i | 0.361415 | − | 0.106121i | ||||
\(366\) | 3.78592 | + | 8.29001i | 0.197893 | + | 0.433326i | ||||
\(367\) | −17.5654 | −0.916908 | −0.458454 | − | 0.888718i | \(-0.651597\pi\) | ||||
−0.458454 | + | 0.888718i | \(0.651597\pi\) | |||||||
\(368\) | 3.59819 | + | 3.17066i | 0.187568 | + | 0.165282i | ||||
\(369\) | −9.88868 | −0.514784 | ||||||||
\(370\) | −4.45938 | − | 9.76469i | −0.231832 | − | 0.507642i | ||||
\(371\) | −25.8621 | + | 7.59379i | −1.34269 | + | 0.394250i | ||||
\(372\) | −4.59908 | + | 5.30762i | −0.238451 | + | 0.275187i | ||||
\(373\) | −1.03916 | − | 0.667825i | −0.0538054 | − | 0.0345787i | 0.513462 | − | 0.858113i | \(-0.328363\pi\) |
−0.567267 | + | 0.823534i | \(0.691999\pi\) | |||||||
\(374\) | 4.19155 | + | 4.83730i | 0.216740 | + | 0.250131i | ||||
\(375\) | 0.142315 | + | 0.989821i | 0.00734911 | + | 0.0511142i | ||||
\(376\) | 0.971409 | + | 0.285231i | 0.0500966 | + | 0.0147097i | ||||
\(377\) | 20.0005 | − | 12.8536i | 1.03008 | − | 0.661992i | ||||
\(378\) | 0.588355 | − | 4.09210i | 0.0302617 | − | 0.210475i | ||||
\(379\) | −4.24855 | + | 9.30303i | −0.218233 | + | 0.477864i | −0.986808 | − | 0.161896i | \(-0.948239\pi\) |
0.768575 | + | 0.639760i | \(0.220966\pi\) | |||||||
\(380\) | 1.29314 | − | 2.83159i | 0.0663368 | − | 0.145257i | ||||
\(381\) | −2.87399 | + | 19.9890i | −0.147239 | + | 1.02407i | ||||
\(382\) | 5.58590 | − | 3.58984i | 0.285800 | − | 0.183672i | ||||
\(383\) | 34.8626 | + | 10.2366i | 1.78139 | + | 0.523064i | 0.995454 | − | 0.0952388i | \(-0.0303615\pi\) |
0.785940 | + | 0.618303i | \(0.212180\pi\) | |||||||
\(384\) | 0.142315 | + | 0.989821i | 0.00726247 | + | 0.0505116i | ||||
\(385\) | 11.1488 | + | 12.8664i | 0.568197 | + | 0.655735i | ||||
\(386\) | −1.15563 | − | 0.742677i | −0.0588199 | − | 0.0378013i | ||||
\(387\) | −2.70488 | + | 3.12160i | −0.137497 | + | 0.158680i | ||||
\(388\) | 1.49907 | − | 0.440168i | 0.0761039 | − | 0.0223461i | ||||
\(389\) | −9.61441 | − | 21.0526i | −0.487470 | − | 1.06741i | −0.980341 | − | 0.197308i | \(-0.936780\pi\) |
0.492871 | − | 0.870102i | \(-0.335947\pi\) | |||||||
\(390\) | 6.67887 | 0.338198 | ||||||||
\(391\) | 7.36919 | + | 1.12220i | 0.372676 | + | 0.0567521i | ||||
\(392\) | −10.0914 | −0.509694 | ||||||||
\(393\) | −4.41633 | − | 9.67042i | −0.222775 | − | 0.487808i | ||||
\(394\) | 1.93348 | − | 0.567721i | 0.0974073 | − | 0.0286014i | ||||
\(395\) | 7.62234 | − | 8.79664i | 0.383521 | − | 0.442607i | ||||
\(396\) | 3.46432 | + | 2.22639i | 0.174089 | + | 0.111880i | ||||
\(397\) | −19.2154 | − | 22.1757i | −0.964392 | − | 1.11297i | −0.993550 | − | 0.113393i | \(-0.963828\pi\) |
0.0291586 | − | 0.999575i | \(-0.490717\pi\) | |||||||
\(398\) | 1.49394 | + | 10.3906i | 0.0748843 | + | 0.520832i | ||||
\(399\) | 12.3480 | + | 3.62569i | 0.618171 | + | 0.181511i | ||||
\(400\) | 0.841254 | − | 0.540641i | 0.0420627 | − | 0.0270320i | ||||
\(401\) | −2.86416 | + | 19.9207i | −0.143029 | + | 0.994791i | 0.784256 | + | 0.620437i | \(0.213045\pi\) |
−0.927286 | + | 0.374354i | \(0.877864\pi\) | |||||||
\(402\) | −3.02680 | + | 6.62777i | −0.150963 | + | 0.330563i | ||||
\(403\) | 19.4853 | − | 42.6669i | 0.970633 | − | 2.12539i | ||||
\(404\) | 0.596905 | − | 4.15156i | 0.0296971 | − | 0.206548i | ||||
\(405\) | −0.841254 | + | 0.540641i | −0.0418022 | + | 0.0268647i | ||||
\(406\) | 14.1202 | + | 4.14608i | 0.700776 | + | 0.205766i | ||||
\(407\) | 6.29121 | + | 43.7563i | 0.311844 | + | 2.16892i | ||||
\(408\) | 1.01785 | + | 1.17466i | 0.0503910 | + | 0.0581543i | ||||
\(409\) | 0.0555562 | + | 0.0357038i | 0.00274708 | + | 0.00176544i | 0.542014 | − | 0.840370i | \(-0.317662\pi\) |
−0.539267 | + | 0.842135i | \(0.681298\pi\) | |||||||
\(410\) | 6.47571 | − | 7.47336i | 0.319812 | − | 0.369083i | ||||
\(411\) | −1.30742 | + | 0.383894i | −0.0644904 | + | 0.0189361i | ||||
\(412\) | −4.51783 | − | 9.89267i | −0.222578 | − | 0.487377i | ||||
\(413\) | −9.99350 | −0.491748 | ||||||||
\(414\) | 4.75253 | − | 0.642989i | 0.233574 | − | 0.0316012i | ||||
\(415\) | −15.0577 | −0.739154 | ||||||||
\(416\) | −2.77450 | − | 6.07532i | −0.136031 | − | 0.297867i | ||||
\(417\) | −7.65152 | + | 2.24669i | −0.374696 | + | 0.110021i | ||||
\(418\) | −8.39469 | + | 9.68799i | −0.410598 | + | 0.473855i | ||||
\(419\) | 0.313354 | + | 0.201380i | 0.0153083 | + | 0.00983808i | 0.548273 | − | 0.836300i | \(-0.315286\pi\) |
−0.532964 | + | 0.846138i | \(0.678922\pi\) | |||||||
\(420\) | 2.70731 | + | 3.12440i | 0.132103 | + | 0.152455i | ||||
\(421\) | 3.27394 | + | 22.7707i | 0.159562 | + | 1.10978i | 0.899443 | + | 0.437039i | \(0.143973\pi\) |
−0.739881 | + | 0.672738i | \(0.765118\pi\) | |||||||
\(422\) | −15.6352 | − | 4.59090i | −0.761109 | − | 0.223482i | ||||
\(423\) | 0.851701 | − | 0.547355i | 0.0414111 | − | 0.0266133i | ||||
\(424\) | 0.927860 | − | 6.45341i | 0.0450609 | − | 0.313405i | ||||
\(425\) | 0.645678 | − | 1.41384i | 0.0313200 | − | 0.0685812i | ||||
\(426\) | −0.258490 | + | 0.566015i | −0.0125239 | + | 0.0274235i | ||||
\(427\) | 5.36202 | − | 37.2937i | 0.259486 | − | 1.80477i | ||||
\(428\) | 6.14297 | − | 3.94785i | 0.296932 | − | 0.190826i | ||||
\(429\) | −26.3898 | − | 7.74875i | −1.27411 | − | 0.374113i | ||||
\(430\) | −0.587827 | − | 4.08843i | −0.0283475 | − | 0.197161i | ||||
\(431\) | 4.09594 | + | 4.72696i | 0.197294 | + | 0.227690i | 0.845773 | − | 0.533543i | \(-0.179140\pi\) |
−0.648478 | + | 0.761233i | \(0.724594\pi\) | |||||||
\(432\) | 0.841254 | + | 0.540641i | 0.0404748 | + | 0.0260116i | ||||
\(433\) | 24.7910 | − | 28.6103i | 1.19138 | − | 1.37492i | 0.281755 | − | 0.959486i | \(-0.409083\pi\) |
0.909622 | − | 0.415436i | \(-0.136371\pi\) | |||||||
\(434\) | 27.8582 | − | 8.17991i | 1.33724 | − | 0.392648i | ||||
\(435\) | −1.47875 | − | 3.23800i | −0.0709004 | − | 0.155250i | ||||
\(436\) | 15.3724 | 0.736206 | ||||||||
\(437\) | −0.124240 | + | 14.9284i | −0.00594319 | + | 0.714122i | ||||
\(438\) | −7.19632 | −0.343854 | ||||||||
\(439\) | −1.39784 | − | 3.06084i | −0.0667152 | − | 0.146086i | 0.873337 | − | 0.487117i | \(-0.161951\pi\) |
−0.940052 | + | 0.341031i | \(0.889224\pi\) | |||||||
\(440\) | −3.95124 | + | 1.16019i | −0.188368 | + | 0.0553098i | ||||
\(441\) | −6.60848 | + | 7.62659i | −0.314690 | + | 0.363171i | ||||
\(442\) | −8.73301 | − | 5.61236i | −0.415387 | − | 0.266953i | ||||
\(443\) | −19.4716 | − | 22.4714i | −0.925122 | − | 1.06765i | −0.997528 | − | 0.0702725i | \(-0.977613\pi\) |
0.0724058 | − | 0.997375i | \(-0.476932\pi\) | |||||||
\(444\) | 1.52772 | + | 10.6255i | 0.0725022 | + | 0.504264i | ||||
\(445\) | −8.17130 | − | 2.39931i | −0.387357 | − | 0.113738i | ||||
\(446\) | −10.5048 | + | 6.75102i | −0.497416 | + | 0.319670i | ||||
\(447\) | −0.0100895 | + | 0.0701737i | −0.000477215 | + | 0.00331910i | ||||
\(448\) | 1.71740 | − | 3.76058i | 0.0811395 | − | 0.177671i | ||||
\(449\) | −15.2745 | + | 33.4465i | −0.720848 | + | 1.57844i | 0.0918638 | + | 0.995772i | \(0.470718\pi\) |
−0.812712 | + | 0.582666i | \(0.802010\pi\) | |||||||
\(450\) | 0.142315 | − | 0.989821i | 0.00670879 | − | 0.0466606i | ||||
\(451\) | −34.2576 | + | 22.0160i | −1.61313 | + | 1.03669i | ||||
\(452\) | 15.0513 | + | 4.41945i | 0.707953 | + | 0.207874i | ||||
\(453\) | −0.995787 | − | 6.92585i | −0.0467861 | − | 0.325405i | ||||
\(454\) | −4.10187 | − | 4.73381i | −0.192510 | − | 0.222169i | ||||
\(455\) | −23.2284 | − | 14.9280i | −1.08896 | − | 0.699835i | ||||
\(456\) | −2.03851 | + | 2.35257i | −0.0954620 | + | 0.110169i | ||||
\(457\) | −5.99798 | + | 1.76117i | −0.280574 | + | 0.0823839i | −0.418992 | − | 0.907990i | \(-0.637616\pi\) |
0.138418 | + | 0.990374i | \(0.455798\pi\) | |||||||
\(458\) | −10.0928 | − | 22.1001i | −0.471605 | − | 1.03267i | ||||
\(459\) | 1.55430 | 0.0725483 | ||||||||
\(460\) | −2.62631 | + | 4.01279i | −0.122452 | + | 0.187097i | ||||
\(461\) | 13.7881 | 0.642177 | 0.321089 | − | 0.947049i | \(-0.395951\pi\) | ||||
0.321089 | + | 0.947049i | \(0.395951\pi\) | |||||||
\(462\) | −7.07234 | − | 15.4863i | −0.329035 | − | 0.720486i | ||||
\(463\) | −2.63688 | + | 0.774257i | −0.122546 | + | 0.0359828i | −0.342431 | − | 0.939543i | \(-0.611250\pi\) |
0.219884 | + | 0.975526i | \(0.429432\pi\) | |||||||
\(464\) | −2.33110 | + | 2.69023i | −0.108218 | + | 0.124891i | ||||
\(465\) | −5.90812 | − | 3.79692i | −0.273982 | − | 0.176078i | ||||
\(466\) | 0.0985440 | + | 0.113726i | 0.00456496 | + | 0.00526825i | ||||
\(467\) | −2.54852 | − | 17.7254i | −0.117932 | − | 0.820232i | −0.959827 | − | 0.280592i | \(-0.909469\pi\) |
0.841896 | − | 0.539640i | \(-0.181440\pi\) | |||||||
\(468\) | −6.40833 | − | 1.88166i | −0.296225 | − | 0.0869796i | ||||
\(469\) | 25.3407 | − | 16.2855i | 1.17012 | − | 0.751993i | ||||
\(470\) | −0.144082 | + | 1.00211i | −0.00664602 | + | 0.0462241i | ||||
\(471\) | −2.30686 | + | 5.05133i | −0.106295 | + | 0.232753i | ||||
\(472\) | 1.00418 | − | 2.19884i | 0.0462210 | − | 0.101210i | ||||
\(473\) | −2.42070 | + | 16.8363i | −0.111304 | + | 0.774136i | ||||
\(474\) | −9.79188 | + | 6.29286i | −0.449756 | + | 0.289041i | ||||
\(475\) | 2.98680 | + | 0.877003i | 0.137044 | + | 0.0402397i | ||||
\(476\) | −0.914478 | − | 6.36033i | −0.0419150 | − | 0.291525i | ||||
\(477\) | −4.26954 | − | 4.92732i | −0.195489 | − | 0.225606i | ||||
\(478\) | −14.9118 | − | 9.58325i | −0.682051 | − | 0.438328i | ||||
\(479\) | 25.9018 | − | 29.8922i | 1.18348 | − | 1.36581i | 0.268016 | − | 0.963415i | \(-0.413632\pi\) |
0.915466 | − | 0.402396i | \(-0.131822\pi\) | |||||||
\(480\) | −0.959493 | + | 0.281733i | −0.0437947 | + | 0.0128593i | ||||
\(481\) | −29.7837 | − | 65.2171i | −1.35802 | − | 2.97365i | ||||
\(482\) | 1.15960 | 0.0528186 | ||||||||
\(483\) | −17.9659 | − | 8.38616i | −0.817479 | − | 0.381584i | ||||
\(484\) | 5.95833 | 0.270833 | ||||||||
\(485\) | 0.649028 | + | 1.42117i | 0.0294708 | + | 0.0645321i | ||||
\(486\) | 0.959493 | − | 0.281733i | 0.0435235 | − | 0.0127796i | ||||
\(487\) | −0.298755 | + | 0.344781i | −0.0135379 | + | 0.0156235i | −0.762478 | − | 0.647014i | \(-0.776018\pi\) |
0.748940 | + | 0.662638i | \(0.230563\pi\) | |||||||
\(488\) | 7.66684 | + | 4.92718i | 0.347061 | + | 0.223043i | ||||
\(489\) | 15.8241 | + | 18.2620i | 0.715591 | + | 0.825836i | ||||
\(490\) | −1.43616 | − | 9.98871i | −0.0648791 | − | 0.451244i | ||||
\(491\) | −21.9761 | − | 6.45277i | −0.991769 | − | 0.291210i | −0.254695 | − | 0.967022i | \(-0.581975\pi\) |
−0.737074 | + | 0.675812i | \(0.763793\pi\) | |||||||
\(492\) | −8.31888 | + | 5.34622i | −0.375044 | + | 0.241026i | ||||
\(493\) | −0.787399 | + | 5.47648i | −0.0354627 | + | 0.246648i | ||||
\(494\) | 8.63674 | − | 18.9118i | 0.388585 | − | 0.850883i | ||||
\(495\) | −1.71070 | + | 3.74591i | −0.0768902 | + | 0.168366i | ||||
\(496\) | −0.999476 | + | 6.95151i | −0.0448778 | + | 0.312132i | ||||
\(497\) | 2.16410 | − | 1.39079i | 0.0970733 | − | 0.0623852i | ||||
\(498\) | 14.4478 | + | 4.24225i | 0.647420 | + | 0.190100i | ||||
\(499\) | −0.765534 | − | 5.32440i | −0.0342700 | − | 0.238353i | 0.965486 | − | 0.260456i | \(-0.0838729\pi\) |
−0.999756 | + | 0.0221030i | \(0.992964\pi\) | |||||||
\(500\) | 0.654861 | + | 0.755750i | 0.0292863 | + | 0.0337981i | ||||
\(501\) | 6.72089 | + | 4.31925i | 0.300267 | + | 0.192970i | ||||
\(502\) | −15.9882 | + | 18.4513i | −0.713587 | + | 0.823524i | ||||
\(503\) | −39.6936 | + | 11.6551i | −1.76985 | + | 0.519675i | −0.993819 | − | 0.111017i | \(-0.964589\pi\) |
−0.776033 | + | 0.630692i | \(0.782771\pi\) | |||||||
\(504\) | −1.71740 | − | 3.76058i | −0.0764991 | − | 0.167510i | ||||
\(505\) | 4.19425 | 0.186642 | ||||||||
\(506\) | 15.0328 | − | 12.8085i | 0.668288 | − | 0.569407i | ||||
\(507\) | 31.6074 | 1.40373 | ||||||||
\(508\) | 8.38913 | + | 18.3696i | 0.372207 | + | 0.815020i | ||||
\(509\) | −17.3856 | + | 5.10487i | −0.770603 | + | 0.226269i | −0.643320 | − | 0.765597i | \(-0.722444\pi\) |
−0.127283 | + | 0.991866i | \(0.540626\pi\) | |||||||
\(510\) | −1.01785 | + | 1.17466i | −0.0450710 | + | 0.0520148i | ||||
\(511\) | 25.0280 | + | 16.0845i | 1.10718 | + | 0.711538i | ||||
\(512\) | 0.654861 | + | 0.755750i | 0.0289410 | + | 0.0333997i | ||||
\(513\) | 0.443011 | + | 3.08121i | 0.0195594 | + | 0.136039i | ||||
\(514\) | 25.7600 | + | 7.56381i | 1.13622 | + | 0.333625i | ||||
\(515\) | 9.14902 | − | 5.87972i | 0.403154 | − | 0.259091i | ||||
\(516\) | −0.587827 | + | 4.08843i | −0.0258776 | + | 0.179983i | ||||
\(517\) | 1.73194 | − | 3.79243i | 0.0761708 | − | 0.166791i | ||||
\(518\) | 18.4359 | − | 40.3690i | 0.810026 | − | 1.77371i | ||||
\(519\) | 0.356649 | − | 2.48055i | 0.0156551 | − | 0.108884i | ||||
\(520\) | 5.61863 | − | 3.61087i | 0.246393 | − | 0.158347i | ||||
\(521\) | −17.4114 | − | 5.11244i | −0.762805 | − | 0.223980i | −0.122885 | − | 0.992421i | \(-0.539215\pi\) |
−0.639921 | + | 0.768441i | \(0.721033\pi\) | |||||||
\(522\) | 0.506596 | + | 3.52345i | 0.0221731 | + | 0.154217i | ||||
\(523\) | 1.35109 | + | 1.55924i | 0.0590790 | + | 0.0681808i | 0.784520 | − | 0.620104i | \(-0.212910\pi\) |
−0.725441 | + | 0.688285i | \(0.758364\pi\) | |||||||
\(524\) | −8.94348 | − | 5.74763i | −0.390698 | − | 0.251086i | ||||
\(525\) | −2.70731 | + | 3.12440i | −0.118157 | + | 0.136360i | ||||
\(526\) | −11.7737 | + | 3.45706i | −0.513356 | + | 0.150735i | ||||
\(527\) | 4.53459 | + | 9.92937i | 0.197530 | + | 0.432530i | ||||
\(528\) | 4.11805 | 0.179215 | ||||||||
\(529\) | 3.65169 | − | 22.7083i | 0.158769 | − | 0.987316i | ||||
\(530\) | 6.51977 | 0.283201 | ||||||||
\(531\) | −1.00418 | − | 2.19884i | −0.0435776 | − | 0.0954216i | ||||
\(532\) | 12.3480 | − | 3.62569i | 0.535352 | − | 0.157193i | ||||
\(533\) | 43.2504 | − | 49.9137i | 1.87338 | − | 2.16200i | ||||
\(534\) | 7.16434 | + | 4.60424i | 0.310032 | + | 0.199245i | ||||
\(535\) | 4.78190 | + | 5.51861i | 0.206740 | + | 0.238590i | ||||
\(536\) | 1.03694 | + | 7.21205i | 0.0447888 | + | 0.311513i | ||||
\(537\) | 18.4009 | + | 5.40299i | 0.794058 | + | 0.233156i | ||||
\(538\) | 11.4392 | − | 7.35156i | 0.493181 | − | 0.316948i | ||||
\(539\) | −5.91418 | + | 41.1340i | −0.254742 | + | 1.77177i | ||||
\(540\) | −0.415415 | + | 0.909632i | −0.0178766 | + | 0.0391443i | ||||
\(541\) | −5.44020 | + | 11.9124i | −0.233892 | + | 0.512153i | −0.989789 | − | 0.142538i | \(-0.954474\pi\) |
0.755897 | + | 0.654690i | \(0.227201\pi\) | |||||||
\(542\) | 2.75092 | − | 19.1331i | 0.118162 | − | 0.821836i | ||||
\(543\) | −13.8359 | + | 8.89181i | −0.593756 | + | 0.381584i | ||||
\(544\) | 1.49134 | + | 0.437896i | 0.0639405 | + | 0.0187746i | ||||
\(545\) | 2.18773 | + | 15.2160i | 0.0937119 | + | 0.651780i | ||||
\(546\) | 18.0818 | + | 20.8675i | 0.773829 | + | 0.893047i | ||||
\(547\) | 26.7602 | + | 17.1977i | 1.14418 | + | 0.735321i | 0.968472 | − | 0.249121i | \(-0.0801416\pi\) |
0.175710 | + | 0.984442i | \(0.443778\pi\) | |||||||
\(548\) | −0.892325 | + | 1.02980i | −0.0381182 | + | 0.0439908i | ||||
\(549\) | 8.74442 | − | 2.56759i | 0.373203 | − | 0.109582i | ||||
\(550\) | −1.71070 | − | 3.74591i | −0.0729445 | − | 0.159726i | ||||
\(551\) | −11.0809 | −0.472063 | ||||||||
\(552\) | 3.65046 | − | 3.11033i | 0.155374 | − | 0.132384i | ||||
\(553\) | 48.1203 | 2.04628 | ||||||||
\(554\) | 2.93344 | + | 6.42335i | 0.124630 | + | 0.272902i | ||||
\(555\) | −10.2999 | + | 3.02433i | −0.437208 | + | 0.128376i | ||||
\(556\) | −5.22221 | + | 6.02676i | −0.221471 | + | 0.255591i | ||||
\(557\) | −1.80566 | − | 1.16043i | −0.0765083 | − | 0.0491689i | 0.501827 | − | 0.864968i | \(-0.332661\pi\) |
−0.578336 | + | 0.815799i | \(0.696298\pi\) | |||||||
\(558\) | 4.59908 | + | 5.30762i | 0.194695 | + | 0.224690i | ||||
\(559\) | −3.92602 | − | 27.3061i | −0.166053 | − | 1.15492i | ||||
\(560\) | 3.96671 | + | 1.16473i | 0.167624 | + | 0.0492189i | ||||
\(561\) | 5.38458 | − | 3.46046i | 0.227337 | − | 0.146101i | ||||
\(562\) | −4.53220 | + | 31.5221i | −0.191179 | + | 1.32968i | ||||
\(563\) | 4.27396 | − | 9.35866i | 0.180126 | − | 0.394420i | −0.797934 | − | 0.602745i | \(-0.794074\pi\) |
0.978060 | + | 0.208324i | \(0.0668010\pi\) | |||||||
\(564\) | 0.420574 | − | 0.920928i | 0.0177094 | − | 0.0387781i | ||||
\(565\) | −2.23245 | + | 15.5270i | −0.0939199 | + | 0.653227i | ||||
\(566\) | −26.2918 | + | 16.8967i | −1.10513 | + | 0.710222i | ||||
\(567\) | −3.96671 | − | 1.16473i | −0.166586 | − | 0.0489142i | ||||
\(568\) | 0.0885548 | + | 0.615912i | 0.00371568 | + | 0.0258431i | ||||
\(569\) | 3.15835 | + | 3.64493i | 0.132405 | + | 0.152804i | 0.818080 | − | 0.575104i | \(-0.195038\pi\) |
−0.685675 | + | 0.727908i | \(0.740493\pi\) | |||||||
\(570\) | −2.61873 | − | 1.68296i | −0.109687 | − | 0.0704913i | ||||
\(571\) | 4.71324 | − | 5.43937i | 0.197243 | − | 0.227631i | −0.648509 | − | 0.761207i | \(-0.724607\pi\) |
0.845752 | + | 0.533577i | \(0.179152\pi\) | |||||||
\(572\) | −26.3898 | + | 7.74875i | −1.10341 | + | 0.323992i | ||||
\(573\) | −2.75834 | − | 6.03993i | −0.115231 | − | 0.252322i | ||||
\(574\) | 40.8815 | 1.70636 | ||||||||
\(575\) | −4.34571 | − | 2.02850i | −0.181229 | − | 0.0845941i | ||||
\(576\) | 1.00000 | 0.0416667 | ||||||||
\(577\) | 15.3677 | + | 33.6505i | 0.639764 | + | 1.40089i | 0.900234 | + | 0.435406i | \(0.143395\pi\) |
−0.260470 | + | 0.965482i | \(0.583877\pi\) | |||||||
\(578\) | −13.9934 | + | 4.10883i | −0.582049 | + | 0.170905i | ||||
\(579\) | −0.899580 | + | 1.03817i | −0.0373853 | + | 0.0431449i | ||||
\(580\) | −2.99460 | − | 1.92451i | −0.124344 | − | 0.0799109i | ||||
\(581\) | −40.7659 | − | 47.0464i | −1.69125 | − | 1.95181i | ||||
\(582\) | −0.222347 | − | 1.54646i | −0.00921658 | − | 0.0641027i | ||||
\(583\) | −25.7612 | − | 7.56416i | −1.06692 | − | 0.313276i | ||||
\(584\) | −6.05393 | + | 3.89063i | −0.250514 | + | 0.160995i | ||||
\(585\) | 0.950503 | − | 6.61089i | 0.0392985 | − | 0.273327i | ||||
\(586\) | 6.66779 | − | 14.6004i | 0.275444 | − | 0.603138i | ||||
\(587\) | −3.71825 | + | 8.14182i | −0.153468 | + | 0.336049i | −0.970713 | − | 0.240242i | \(-0.922773\pi\) |
0.817245 | + | 0.576291i | \(0.195500\pi\) | |||||||
\(588\) | −1.43616 | + | 9.98871i | −0.0592262 | + | 0.411928i | ||||
\(589\) | −18.3913 | + | 11.8194i | −0.757802 | + | 0.487010i | ||||
\(590\) | 2.31937 | + | 0.681029i | 0.0954870 | + | 0.0280375i | ||||
\(591\) | −0.286779 | − | 1.99460i | −0.0117965 | − | 0.0820467i | ||||
\(592\) | 7.02978 | + | 8.11280i | 0.288922 | + | 0.333434i | ||||
\(593\) | 8.64769 | + | 5.55753i | 0.355118 | + | 0.228220i | 0.706020 | − | 0.708192i | \(-0.250489\pi\) |
−0.350902 | + | 0.936412i | \(0.614125\pi\) | |||||||
\(594\) | 2.69675 | − | 3.11221i | 0.110649 | − | 0.127696i | ||||
\(595\) | 6.16545 | − | 1.81034i | 0.252759 | − | 0.0742167i | ||||
\(596\) | 0.0294510 | + | 0.0644886i | 0.00120636 | + | 0.00264156i | ||||
\(597\) | 10.4974 | 0.429630 | ||||||||
\(598\) | −17.5408 | + | 26.8009i | −0.717296 | + | 1.09597i | ||||
\(599\) | 41.3573 | 1.68981 | 0.844907 | − | 0.534913i | \(-0.179656\pi\) | ||||
0.844907 | + | 0.534913i | \(0.179656\pi\) | |||||||
\(600\) | −0.415415 | − | 0.909632i | −0.0169592 | − | 0.0371356i | ||||
\(601\) | −34.2011 | + | 10.0424i | −1.39509 | + | 0.409637i | −0.890996 | − | 0.454010i | \(-0.849993\pi\) |
−0.504097 | + | 0.863647i | \(0.668175\pi\) | |||||||
\(602\) | 11.1825 | − | 12.9053i | 0.455763 | − | 0.525979i | ||||
\(603\) | 6.12955 | + | 3.93923i | 0.249615 | + | 0.160418i | ||||
\(604\) | −4.58211 | − | 5.28803i | −0.186443 | − | 0.215167i | ||||
\(605\) | 0.847959 | + | 5.89768i | 0.0344744 | + | 0.239775i | ||||
\(606\) | −4.02436 | − | 1.18166i | −0.163478 | − | 0.0480016i | ||||
\(607\) | 25.1692 | − | 16.1753i | 1.02159 | − | 0.656535i | 0.0812211 | − | 0.996696i | \(-0.474118\pi\) |
0.940367 | + | 0.340161i | \(0.110482\pi\) | |||||||
\(608\) | −0.443011 | + | 3.08121i | −0.0179665 | + | 0.124959i | ||||
\(609\) | 6.11340 | − | 13.3865i | 0.247727 | − | 0.542447i | ||||
\(610\) | −3.78592 | + | 8.29001i | −0.153287 | + | 0.335653i | ||||
\(611\) | −0.962307 | + | 6.69299i | −0.0389308 | + | 0.270769i | ||||
\(612\) | 1.30756 | − | 0.840316i | 0.0528549 | − | 0.0339678i | ||||
\(613\) | 22.6122 | + | 6.63954i | 0.913298 | + | 0.268168i | 0.704428 | − | 0.709775i | \(-0.251203\pi\) |
0.208870 | + | 0.977944i | \(0.433022\pi\) | |||||||
\(614\) | −2.44968 | − | 17.0379i | −0.0988609 | − | 0.687593i | ||||
\(615\) | −6.47571 | − | 7.47336i | −0.261126 | − | 0.301355i | ||||
\(616\) | −14.3221 | − | 9.20427i | −0.577055 | − | 0.370851i | ||||
\(617\) | 25.4519 | − | 29.3730i | 1.02465 | − | 1.18251i | 0.0416114 | − | 0.999134i | \(-0.486751\pi\) |
0.983042 | − | 0.183379i | \(-0.0587037\pi\) | |||||||
\(618\) | −10.4349 | + | 3.06397i | −0.419755 | + | 0.123251i | ||||
\(619\) | 4.22932 | + | 9.26092i | 0.169991 | + | 0.372228i | 0.975384 | − | 0.220513i | \(-0.0707732\pi\) |
−0.805393 | + | 0.592741i | \(0.798046\pi\) | |||||||
\(620\) | −7.02299 | −0.282050 | ||||||||
\(621\) | 0.0399113 | − | 4.79567i | 0.00160159 | − | 0.192443i | ||||
\(622\) | −2.77431 | −0.111240 | ||||||||
\(623\) | −14.6258 | − | 32.0261i | −0.585972 | − | 1.28310i | ||||
\(624\) | −6.40833 | + | 1.88166i | −0.256539 | + | 0.0753265i | ||||
\(625\) | −0.654861 | + | 0.755750i | −0.0261944 | + | 0.0302300i | ||||
\(626\) | 14.4709 | + | 9.29991i | 0.578375 | + | 0.371699i | ||||
\(627\) | 8.39469 | + | 9.68799i | 0.335252 | + | 0.386901i | ||||
\(628\) | 0.790296 | + | 5.49663i | 0.0315363 | + | 0.219339i | ||||
\(629\) | 16.0091 | + | 4.70071i | 0.638326 | + | 0.187430i | ||||
\(630\) | 3.47789 | − | 2.23511i | 0.138563 | − | 0.0890487i | ||||
\(631\) | 0.819206 | − | 5.69770i | 0.0326121 | − | 0.226822i | −0.966997 | − | 0.254789i | \(-0.917994\pi\) |
0.999609 | + | 0.0279667i | \(0.00890323\pi\) | |||||||
\(632\) | −4.83528 | + | 10.5878i | −0.192337 | + | 0.421159i | ||||
\(633\) | −6.76929 | + | 14.8227i | −0.269055 | + | 0.589149i | ||||
\(634\) | 0.393353 | − | 2.73583i | 0.0156220 | − | 0.108654i | ||||
\(635\) | −16.9887 | + | 10.9180i | −0.674178 | + | 0.433268i | ||||
\(636\) | −6.25568 | − | 1.83683i | −0.248054 | − | 0.0728351i | ||||
\(637\) | −9.59193 | − | 66.7134i | −0.380046 | − | 2.64328i | ||||
\(638\) | 9.59957 | + | 11.0785i | 0.380051 | + | 0.438602i | ||||
\(639\) | 0.523467 | + | 0.336412i | 0.0207080 | + | 0.0133082i | ||||
\(640\) | −0.654861 | + | 0.755750i | −0.0258856 | + | 0.0298736i | ||||
\(641\) | −1.68187 | + | 0.493842i | −0.0664299 | + | 0.0195056i | −0.314779 | − | 0.949165i | \(-0.601930\pi\) |
0.248349 | + | 0.968671i | \(0.420112\pi\) | |||||||
\(642\) | −3.03343 | − | 6.64228i | −0.119720 | − | 0.262150i | ||||
\(643\) | −5.79881 | −0.228683 | −0.114341 | − | 0.993442i | \(-0.536476\pi\) | ||||
−0.114341 | + | 0.993442i | \(0.536476\pi\) | |||||||
\(644\) | −19.6478 | + | 2.65823i | −0.774232 | + | 0.104749i | ||||
\(645\) | −4.13047 | −0.162637 | ||||||||
\(646\) | 2.00993 | + | 4.40112i | 0.0790795 | + | 0.173160i | ||||
\(647\) | 2.80155 | − | 0.822609i | 0.110140 | − | 0.0323401i | −0.226198 | − | 0.974081i | \(-0.572630\pi\) |
0.336338 | + | 0.941741i | \(0.390811\pi\) | |||||||
\(648\) | 0.654861 | − | 0.755750i | 0.0257254 | − | 0.0296886i | ||||
\(649\) | −8.37427 | − | 5.38182i | −0.328719 | − | 0.211255i | ||||
\(650\) | 4.37373 | + | 5.04756i | 0.171552 | + | 0.197981i | ||||
\(651\) | −4.13201 | − | 28.7388i | −0.161946 | − | 1.12636i | ||||
\(652\) | 23.1853 | + | 6.80781i | 0.908005 | + | 0.266614i | ||||
\(653\) | 12.3088 | − | 7.91039i | 0.481681 | − | 0.309557i | −0.277171 | − | 0.960821i | \(-0.589397\pi\) |
0.758852 | + | 0.651263i | \(0.225761\pi\) | |||||||
\(654\) | 2.18773 | − | 15.2160i | 0.0855468 | − | 0.594991i | ||||
\(655\) | 4.41633 | − | 9.67042i | 0.172560 | − | 0.377855i | ||||
\(656\) | −4.10790 | + | 8.99506i | −0.160387 | + | 0.351198i | ||||
\(657\) | −1.02414 | + | 7.12308i | −0.0399557 | + | 0.277898i | ||||
\(658\) | −3.52108 | + | 2.26286i | −0.137266 | + | 0.0882156i | ||||
\(659\) | 5.08161 | + | 1.49209i | 0.197951 | + | 0.0581238i | 0.379205 | − | 0.925313i | \(-0.376197\pi\) |
−0.181254 | + | 0.983436i | \(0.558016\pi\) | |||||||
\(660\) | 0.586059 | + | 4.07613i | 0.0228123 | + | 0.158663i | ||||
\(661\) | −8.20829 | − | 9.47287i | −0.319265 | − | 0.368452i | 0.573319 | − | 0.819332i | \(-0.305656\pi\) |
−0.892584 | + | 0.450880i | \(0.851110\pi\) | |||||||
\(662\) | −12.0186 | − | 7.72386i | −0.467114 | − | 0.300196i | ||||
\(663\) | −6.79808 | + | 7.84540i | −0.264015 | + | 0.304690i | ||||
\(664\) | 14.4478 | − | 4.24225i | 0.560682 | − | 0.164631i | ||||
\(665\) | 5.34608 | + | 11.7063i | 0.207312 | + | 0.453950i | ||||
\(666\) | 10.7348 | 0.415964 | ||||||||
\(667\) | 16.8771 | + | 2.57009i | 0.653483 | + | 0.0995142i | ||||
\(668\) | 7.98913 | 0.309109 | ||||||||
\(669\) | 5.18732 | + | 11.3586i | 0.200553 | + | 0.439150i | ||||
\(670\) | −6.99107 | + | 2.05276i | −0.270089 | + | 0.0793052i | ||||
\(671\) | 24.5770 | − | 28.3634i | 0.948786 | − | 1.09496i | ||||
\(672\) | −3.47789 | − | 2.23511i | −0.134163 | − | 0.0862211i | ||||
\(673\) | −2.53897 | − | 2.93012i | −0.0978700 | − | 0.112948i | 0.704702 | − | 0.709504i | \(-0.251081\pi\) |
−0.802572 | + | 0.596556i | \(0.796535\pi\) | |||||||
\(674\) | 0.789006 | + | 5.48766i | 0.0303914 | + | 0.211377i | ||||
\(675\) | −0.959493 | − | 0.281733i | −0.0369309 | − | 0.0108439i | ||||
\(676\) | 26.5898 | − | 17.0882i | 1.02269 | − | 0.657240i | ||||
\(677\) | 3.21789 | − | 22.3809i | 0.123673 | − | 0.860167i | −0.829665 | − | 0.558262i | \(-0.811468\pi\) |
0.953338 | − | 0.301905i | \(-0.0976226\pi\) | |||||||
\(678\) | 6.51649 | − | 14.2691i | 0.250264 | − | 0.548002i | ||||
\(679\) | −2.68320 | + | 5.87538i | −0.102972 | + | 0.225476i | ||||
\(680\) | −0.221199 | + | 1.53848i | −0.00848261 | + | 0.0589978i | ||||
\(681\) | −5.26938 | + | 3.38643i | −0.201923 | + | 0.129768i | ||||
\(682\) | 27.7495 | + | 8.14799i | 1.06258 | + | 0.312003i | ||||
\(683\) | −2.33450 | − | 16.2368i | −0.0893270 | − | 0.621283i | −0.984476 | − | 0.175517i | \(-0.943840\pi\) |
0.895149 | − | 0.445766i | \(-0.147069\pi\) | |||||||
\(684\) | 2.03851 | + | 2.35257i | 0.0779444 | + | 0.0899527i | ||||
\(685\) | −1.14631 | − | 0.736687i | −0.0437982 | − | 0.0281474i | ||||
\(686\) | 8.36946 | − | 9.65887i | 0.319547 | − | 0.368777i | ||||
\(687\) | −23.3115 | + | 6.84488i | −0.889390 | + | 0.261148i | ||||
\(688\) | 1.71586 | + | 3.75721i | 0.0654165 | + | 0.143242i | ||||
\(689\) | 43.5447 | 1.65892 | ||||||||
\(690\) | 3.59819 | + | 3.17066i | 0.136981 | + | 0.120705i | ||||
\(691\) | 3.67109 | 0.139655 | 0.0698274 | − | 0.997559i | \(-0.477755\pi\) | ||||
0.0698274 | + | 0.997559i | \(0.477755\pi\) | |||||||
\(692\) | −1.04105 | − | 2.27959i | −0.0395749 | − | 0.0866569i | ||||
\(693\) | −16.3351 | + | 4.79643i | −0.620520 | + | 0.182201i | ||||
\(694\) | 3.37031 | − | 3.88954i | 0.127935 | − | 0.147645i | ||||
\(695\) | −6.70861 | − | 4.31136i | −0.254472 | − | 0.163539i | ||||
\(696\) | 2.33110 | + | 2.69023i | 0.0883600 | + | 0.101973i | ||||
\(697\) | 2.18737 | + | 15.2135i | 0.0828525 | + | 0.576252i | ||||
\(698\) | −8.04390 | − | 2.36190i | −0.304466 | − | 0.0893994i | ||||
\(699\) | 0.126593 | − | 0.0813561i | 0.00478817 | − | 0.00307717i | ||||
\(700\) | −0.588355 | + | 4.09210i | −0.0222377 | + | 0.154667i | ||||
\(701\) | −4.85377 | + | 10.6283i | −0.183324 | + | 0.401424i | −0.978874 | − | 0.204464i | \(-0.934455\pi\) |
0.795550 | + | 0.605888i | \(0.207182\pi\) | |||||||
\(702\) | −2.77450 | + | 6.07532i | −0.104717 | + | 0.229298i | ||||
\(703\) | −4.75562 | + | 33.0761i | −0.179362 | + | 1.24749i | ||||
\(704\) | 3.46432 | − | 2.22639i | 0.130567 | − | 0.0839101i | ||||
\(705\) | 0.971409 | + | 0.285231i | 0.0365854 | + | 0.0107424i | ||||
\(706\) | −4.52495 | − | 31.4717i | −0.170299 | − | 1.18445i | ||||
\(707\) | 11.3552 | + | 13.1045i | 0.427054 | + | 0.492847i | ||||
\(708\) | −2.03355 | − | 1.30688i | −0.0764256 | − | 0.0491157i | ||||
\(709\) | 2.74995 | − | 3.17362i | 0.103277 | − | 0.119188i | −0.701758 | − | 0.712415i | \(-0.747601\pi\) |
0.805035 | + | 0.593228i | \(0.202147\pi\) | |||||||
\(710\) | −0.597041 | + | 0.175307i | −0.0224065 | + | 0.00657915i | ||||
\(711\) | 4.83528 | + | 10.5878i | 0.181337 | + | 0.397073i | ||||
\(712\) | 8.51627 | 0.319161 | ||||||||
\(713\) | 30.7528 | − | 13.7362i | 1.15170 | − | 0.514424i | ||||
\(714\) | −6.42574 | −0.240477 | ||||||||
\(715\) | −11.4255 | − | 25.0185i | −0.427291 | − | 0.935637i | ||||
\(716\) | 18.4009 | − | 5.40299i | 0.687674 | − | 0.201919i | ||||
\(717\) | −11.6079 | + | 13.3962i | −0.433504 | + | 0.500290i | ||||
\(718\) | 22.2744 | + | 14.3149i | 0.831275 | + | 0.534228i | ||||
\(719\) | −29.1285 | − | 33.6161i | −1.08631 | − | 1.25367i | −0.965335 | − | 0.261015i | \(-0.915943\pi\) |
−0.120977 | − | 0.992655i | \(-0.538603\pi\) | |||||||
\(720\) | 0.142315 | + | 0.989821i | 0.00530376 | + | 0.0368885i | ||||
\(721\) | 43.1399 | + | 12.6670i | 1.60661 | + | 0.471744i | ||||
\(722\) | 7.83199 | − | 5.03331i | 0.291476 | − | 0.187320i | ||||
\(723\) | 0.165029 | − | 1.14780i | 0.00613749 | − | 0.0426872i | ||||
\(724\) | −6.83225 | + | 14.9605i | −0.253918 | + | 0.556004i | ||||
\(725\) | 1.47875 | − | 3.23800i | 0.0549192 | − | 0.120256i | ||||
\(726\) | 0.847959 | − | 5.89768i | 0.0314707 | − | 0.218883i | ||||
\(727\) | −5.85473 | + | 3.76261i | −0.217140 | + | 0.139547i | −0.644689 | − | 0.764445i | \(-0.723013\pi\) |
0.427550 | + | 0.903992i | \(0.359377\pi\) | |||||||
\(728\) | 26.4932 | + | 7.77910i | 0.981903 | + | 0.288313i | ||||
\(729\) | −0.142315 | − | 0.989821i | −0.00527092 | − | 0.0366601i | ||||
\(730\) | −4.71259 | − | 5.43862i | −0.174421 | − | 0.201292i | ||||
\(731\) | 5.40082 | + | 3.47090i | 0.199757 | + | 0.128376i | ||||
\(732\) | 5.96813 | − | 6.88759i | 0.220588 | − | 0.254573i | ||||
\(733\) | −7.49462 | + | 2.20062i | −0.276820 | + | 0.0812817i | −0.417196 | − | 0.908817i | \(-0.636987\pi\) |
0.140376 | + | 0.990098i | \(0.455169\pi\) | |||||||
\(734\) | 7.29695 | + | 15.9781i | 0.269335 | + | 0.589762i | ||||
\(735\) | −10.0914 | −0.372228 | ||||||||
\(736\) | 1.38939 | − | 4.59016i | 0.0512136 | − | 0.169196i | ||||
\(737\) | 30.0050 | 1.10525 | ||||||||
\(738\) | 4.10790 | + | 8.99506i | 0.151214 | + | 0.331113i | ||||
\(739\) | 36.3039 | − | 10.6598i | 1.33546 | − | 0.392127i | 0.465413 | − | 0.885094i | \(-0.345906\pi\) |
0.870048 | + | 0.492967i | \(0.164088\pi\) | |||||||
\(740\) | −7.02978 | + | 8.11280i | −0.258420 | + | 0.298232i | ||||
\(741\) | −17.4902 | − | 11.2403i | −0.642518 | − | 0.412921i | ||||
\(742\) | 17.6511 | + | 20.3704i | 0.647990 | + | 0.747821i | ||||
\(743\) | 5.45157 | + | 37.9165i | 0.199999 | + | 1.39102i | 0.804279 | + | 0.594251i | \(0.202552\pi\) |
−0.604281 | + | 0.796772i | \(0.706539\pi\) | |||||||
\(744\) | 6.73851 | + | 1.97861i | 0.247046 | + | 0.0725392i | ||||
\(745\) | −0.0596409 | + | 0.0383289i | −0.00218507 | + | 0.00140426i | ||||
\(746\) | −0.175794 | + | 1.22267i | −0.00643627 | + | 0.0447653i | ||||
\(747\) | 6.25520 | − | 13.6970i | 0.228866 | − | 0.501146i | ||||
\(748\) | 2.65893 | − | 5.82225i | 0.0972202 | − | 0.212883i | ||||
\(749\) | −4.29626 | + | 29.8812i | −0.156982 | + | 1.09183i | ||||
\(750\) | 0.841254 | − | 0.540641i | 0.0307182 | − | 0.0197414i | ||||
\(751\) | −3.67194 | − | 1.07818i | −0.133991 | − | 0.0393433i | 0.214049 | − | 0.976823i | \(-0.431335\pi\) |
−0.348041 | + | 0.937479i | \(0.613153\pi\) | |||||||
\(752\) | −0.144082 | − | 1.00211i | −0.00525414 | − | 0.0365433i | ||||
\(753\) | 15.9882 | + | 18.4513i | 0.582642 | + | 0.672404i | ||||
\(754\) | −20.0005 | − | 12.8536i | −0.728376 | − | 0.468099i | ||||
\(755\) | 4.58211 | − | 5.28803i | 0.166760 | − | 0.192451i | ||||
\(756\) | −3.96671 | + | 1.16473i | −0.144268 | + | 0.0423609i | ||||
\(757\) | −20.2901 | − | 44.4292i | −0.737457 | − | 1.61480i | −0.787693 | − | 0.616068i | \(-0.788725\pi\) |
0.0502366 | − | 0.998737i | \(-0.484002\pi\) | |||||||
\(758\) | 10.2272 | 0.371470 | ||||||||
\(759\) | −10.5387 | − | 16.7026i | −0.382532 | − | 0.606266i | ||||
\(760\) | −3.11289 | −0.112916 | ||||||||
\(761\) | −13.8019 | − | 30.2220i | −0.500319 | − | 1.09555i | −0.976366 | − | 0.216126i | \(-0.930658\pi\) |
0.476046 | − | 0.879420i | \(-0.342069\pi\) | |||||||
\(762\) | 19.3765 | − | 5.68947i | 0.701938 | − | 0.206108i | ||||
\(763\) | −41.6180 | + | 48.0297i | −1.50667 | + | 1.73879i | ||||
\(764\) | −5.58590 | − | 3.58984i | −0.202091 | − | 0.129876i | ||||
\(765\) | 1.01785 | + | 1.17466i | 0.0368004 | + | 0.0424699i | ||||
\(766\) | −5.17092 | − | 35.9645i | −0.186833 | − | 1.29945i | ||||
\(767\) | 15.4908 | + | 4.54851i | 0.559340 | + | 0.164237i | ||||
\(768\) | 0.841254 | − | 0.540641i | 0.0303561 | − | 0.0195087i | ||||
\(769\) | −6.70228 | + | 46.6154i | −0.241690 | + | 1.68099i | 0.401947 | + | 0.915663i | \(0.368334\pi\) |
−0.643638 | + | 0.765330i | \(0.722576\pi\) | |||||||
\(770\) | 7.07234 | − | 15.4863i | 0.254869 | − | 0.558086i | ||||
\(771\) | 11.1528 | − | 24.4213i | 0.401660 | − | 0.879513i | ||||
\(772\) | −0.195498 | + | 1.35972i | −0.00703611 | + | 0.0489372i | ||||
\(773\) | 6.76800 | − | 4.34953i | 0.243428 | − | 0.156442i | −0.413238 | − | 0.910623i | \(-0.635602\pi\) |
0.656666 | + | 0.754181i | \(0.271966\pi\) | |||||||
\(774\) | 3.96316 | + | 1.16369i | 0.142453 | + | 0.0418279i | ||||
\(775\) | −0.999476 | − | 6.95151i | −0.0359022 | − | 0.249706i | ||||
\(776\) | −1.02313 | − | 1.18075i | −0.0367282 | − | 0.0423866i | ||||
\(777\) | −37.3344 | − | 23.9933i | −1.33936 | − | 0.860756i | ||||
\(778\) | −15.1562 | + | 17.4912i | −0.543375 | + | 0.627088i | ||||
\(779\) | −29.5355 | + | 8.67240i | −1.05822 | + | 0.310721i | ||||
\(780\) | −2.77450 | − | 6.07532i | −0.0993432 | − | 0.217531i | ||||
\(781\) | 2.56244 | 0.0916913 | ||||||||
\(782\) | −2.04048 | − | 7.16943i | −0.0729674 | − | 0.256378i | ||||
\(783\) | 3.55968 | 0.127213 | ||||||||
\(784\) | 4.19213 | + | 9.17949i | 0.149719 | + | 0.327839i | ||||
\(785\) | −5.32821 | + | 1.56450i | −0.190172 | + | 0.0558396i | ||||
\(786\) | −6.96191 | + | 8.03448i | −0.248323 | + | 0.286580i | ||||
\(787\) | 31.8470 | + | 20.4668i | 1.13522 | + | 0.729564i | 0.966644 | − | 0.256125i | \(-0.0824457\pi\) |
0.168579 | + | 0.985688i | \(0.446082\pi\) | |||||||
\(788\) | −1.31961 | − | 1.52292i | −0.0470093 | − | 0.0542516i | ||||
\(789\) | 1.74630 | + | 12.1458i | 0.0621701 | + | 0.432402i | ||||
\(790\) | −11.1681 | − | 3.27926i | −0.397345 | − | 0.116671i | ||||
\(791\) | −54.5566 | + | 35.0614i | −1.93981 | + | 1.24664i | ||||
\(792\) | 0.586059 | − | 4.07613i | 0.0208247 | − | 0.144839i | ||||
\(793\) | −25.2857 | + | 55.3679i | −0.897921 | + | 1.96617i | ||||
\(794\) | −12.1894 | + | 26.6910i | −0.432585 | + | 0.947230i | ||||
\(795\) | 0.927860 | − | 6.45341i | 0.0329078 | − | 0.228879i | ||||
\(796\) | 8.83098 | − | 5.67533i | 0.313006 | − | 0.201157i | ||||
\(797\) | −17.4035 | − | 5.11014i | −0.616465 | − | 0.181010i | −0.0414327 | − | 0.999141i | \(-0.513192\pi\) |
−0.575032 | + | 0.818131i | \(0.695010\pi\) | |||||||
\(798\) | −1.83149 | − | 12.7383i | −0.0648339 | − | 0.450930i | ||||
\(799\) | −1.03049 | − | 1.18925i | −0.0364560 | − | 0.0420725i | ||||
\(800\) | −0.841254 | − | 0.540641i | −0.0297428 | − | 0.0191145i | ||||
\(801\) | 5.57697 | − | 6.43617i | 0.197053 | − | 0.227411i | ||||
\(802\) | 19.3103 | − | 5.67001i | 0.681870 | − | 0.200215i | ||||
\(803\) | 12.3107 | + | 26.9568i | 0.434437 | + | 0.951284i | ||||
\(804\) | 7.28622 | 0.256965 | ||||||||
\(805\) | −5.42735 | − | 19.0695i | −0.191289 | − | 0.672112i | ||||
\(806\) | −46.9057 | −1.65218 | ||||||||
\(807\) | −5.64875 | − | 12.3690i | −0.198846 | − | 0.435411i | ||||
\(808\) | −4.02436 | + | 1.18166i | −0.141576 | + | 0.0415706i | ||||
\(809\) | 19.8491 | − | 22.9070i | 0.697856 | − | 0.805368i | −0.290605 | − | 0.956843i | \(-0.593857\pi\) |
0.988461 | + | 0.151475i | \(0.0484022\pi\) | |||||||
\(810\) | 0.841254 | + | 0.540641i | 0.0295586 | + | 0.0189962i | ||||
\(811\) | −4.16188 | − | 4.80306i | −0.146143 | − | 0.168658i | 0.677958 | − | 0.735100i | \(-0.262865\pi\) |
−0.824102 | + | 0.566442i | \(0.808320\pi\) | |||||||
\(812\) | −2.09436 | − | 14.5666i | −0.0734975 | − | 0.511186i | ||||
\(813\) | −18.5468 | − | 5.44584i | −0.650466 | − | 0.190994i | ||||
\(814\) | 37.1887 | − | 23.8997i | 1.30346 | − | 0.837685i | ||||
\(815\) | −3.43891 | + | 23.9181i | −0.120460 | + | 0.837815i | ||||
\(816\) | 0.645678 | − | 1.41384i | 0.0226032 | − | 0.0494942i | ||||
\(817\) | −5.34128 | + | 11.6958i | −0.186868 | + | 0.409184i | ||||
\(818\) | 0.00939845 | − | 0.0653676i | 0.000328609 | − | 0.00228553i | ||||
\(819\) | 23.2284 | − | 14.9280i | 0.811666 | − | 0.521626i | ||||
\(820\) | −9.48811 | − | 2.78596i | −0.331339 | − | 0.0972900i | ||||
\(821\) | 7.24898 | + | 50.4178i | 0.252991 | + | 1.75959i | 0.580043 | + | 0.814586i | \(0.303036\pi\) |
−0.327052 | + | 0.945006i | \(0.606055\pi\) | |||||||
\(822\) | 0.892325 | + | 1.02980i | 0.0311234 | + | 0.0359183i | ||||
\(823\) | −38.1387 | − | 24.5103i | −1.32943 | − | 0.854374i | −0.333349 | − | 0.942803i | \(-0.608179\pi\) |
−0.996082 | + | 0.0884296i | \(0.971815\pi\) | |||||||
\(824\) | −7.12192 | + | 8.21913i | −0.248104 | + | 0.286327i | ||||
\(825\) | −3.95124 | + | 1.16019i | −0.137564 | + | 0.0403926i | ||||
\(826\) | 4.15145 | + | 9.09041i | 0.144447 | + | 0.316296i | ||||
\(827\) | 3.05456 | 0.106217 | 0.0531087 | − | 0.998589i | \(-0.483087\pi\) | ||||
0.0531087 | + | 0.998589i | \(0.483087\pi\) | |||||||
\(828\) | −2.55916 | − | 4.05595i | −0.0889369 | − | 0.140954i | ||||
\(829\) | 14.6415 | 0.508522 | 0.254261 | − | 0.967136i | \(-0.418168\pi\) | ||||
0.254261 | + | 0.967136i | \(0.418168\pi\) | |||||||
\(830\) | 6.25520 | + | 13.6970i | 0.217121 | + | 0.475429i | ||||
\(831\) | 6.77544 | − | 1.98945i | 0.235037 | − | 0.0690132i | ||||
\(832\) | −4.37373 | + | 5.04756i | −0.151632 | + | 0.174993i | ||||
\(833\) | 13.1951 | + | 8.47999i | 0.457184 | + | 0.293814i | ||||
\(834\) | 5.22221 | + | 6.02676i | 0.180830 | + | 0.208689i | ||||
\(835\) | 1.13697 | + | 7.90782i | 0.0393465 | + | 0.273661i | ||||
\(836\) | 12.2998 | + | 3.61154i | 0.425397 | + | 0.124908i | ||||
\(837\) | 5.90812 | − | 3.79692i | 0.204214 | − | 0.131241i | ||||
\(838\) | 0.0530101 | − | 0.368693i | 0.00183120 | − | 0.0127363i | ||||
\(839\) | −3.36849 | + | 7.37596i | −0.116293 | + | 0.254646i | −0.958824 | − | 0.284002i | \(-0.908338\pi\) |
0.842531 | + | 0.538649i | \(0.181065\pi\) | |||||||
\(840\) | 1.71740 | − | 3.76058i | 0.0592559 | − | 0.129752i | ||||
\(841\) | 2.32381 | − | 16.1625i | 0.0801314 | − | 0.557326i | ||||
\(842\) | 19.3529 | − | 12.4374i | 0.666946 | − | 0.428620i | ||||
\(843\) | 30.5563 | + | 8.97213i | 1.05241 | + | 0.309017i | ||||
\(844\) | 2.31906 | + | 16.1294i | 0.0798252 | + | 0.555196i | ||||
\(845\) | 20.6984 | + | 23.8873i | 0.712047 | + | 0.821747i | ||||
\(846\) | −0.851701 | − | 0.547355i | −0.0292821 | − | 0.0188184i | ||||
\(847\) | −16.1310 | + | 18.6162i | −0.554269 | + | 0.639661i | ||||
\(848\) | −6.25568 | + | 1.83683i | −0.214821 | + | 0.0630771i | ||||
\(849\) | 12.9830 | + | 28.4289i | 0.445576 | + | 0.975676i | ||||
\(850\) | −1.55430 | −0.0533119 | ||||||||
\(851\) | 14.9148 | − | 49.2743i | 0.511272 | − | 1.68910i | ||||
\(852\) | 0.622246 | 0.0213178 | ||||||||
\(853\) | −2.39235 | − | 5.23851i | −0.0819124 | − | 0.179363i | 0.864244 | − | 0.503073i | \(-0.167797\pi\) |
−0.946156 | + | 0.323710i | \(0.895070\pi\) | |||||||
\(854\) | −36.1510 | + | 10.6149i | −1.23706 | + | 0.363234i | ||||
\(855\) | −2.03851 | + | 2.35257i | −0.0697156 | + | 0.0804561i | ||||
\(856\) | −6.14297 | − | 3.94785i | −0.209962 | − | 0.134935i | ||||
\(857\) | −32.8099 | − | 37.8646i | −1.12076 | − | 1.29343i | −0.951427 | − | 0.307873i | \(-0.900383\pi\) |
−0.169337 | − | 0.985558i | \(-0.554163\pi\) | |||||||
\(858\) | 3.91422 | + | 27.2240i | 0.133629 | + | 0.929411i | ||||
\(859\) | 26.1057 | + | 7.66533i | 0.890715 | + | 0.261538i | 0.694903 | − | 0.719104i | \(-0.255447\pi\) |
0.195813 | + | 0.980641i | \(0.437266\pi\) | |||||||
\(860\) | −3.47477 | + | 2.23310i | −0.118489 | + | 0.0761481i | ||||
\(861\) | 5.81805 | − | 40.4654i | 0.198279 | − | 1.37906i | ||||
\(862\) | 2.59828 | − | 5.68945i | 0.0884979 | − | 0.193783i | ||||
\(863\) | −2.77893 | + | 6.08500i | −0.0945958 | + | 0.207136i | −0.951015 | − | 0.309146i | \(-0.899957\pi\) |
0.856419 | + | 0.516282i | \(0.172684\pi\) | |||||||
\(864\) | 0.142315 | − | 0.989821i | 0.00484165 | − | 0.0336744i | ||||
\(865\) | 2.10823 | − | 1.35487i | 0.0716819 | − | 0.0460671i | ||||
\(866\) | −36.3234 | − | 10.6655i | −1.23432 | − | 0.362429i | ||||
\(867\) | 2.07554 | + | 14.4357i | 0.0704891 | + | 0.490263i | ||||
\(868\) | −19.0134 | − | 21.9427i | −0.645358 | − | 0.744782i | ||||
\(869\) | 40.3234 | + | 25.9143i | 1.36788 | + | 0.879082i | ||||
\(870\) | −2.33110 | + | 2.69023i | −0.0790316 | + | 0.0912073i | ||||
\(871\) | −46.6925 | + | 13.7102i | −1.58211 | + | 0.464551i | ||||
\(872\) | −6.38594 | − | 13.9833i | −0.216255 | − | 0.473533i | ||||
\(873\) | −1.56236 | −0.0528779 | ||||||||
\(874\) | 13.6310 | − | 6.08847i | 0.461074 | − | 0.205945i | ||||
\(875\) | −4.13418 | −0.139761 | ||||||||
\(876\) | 2.98946 | + | 6.54601i | 0.101005 | + | 0.221169i | ||||
\(877\) | −26.4829 | + | 7.77608i | −0.894264 | + | 0.262580i | −0.696404 | − | 0.717650i | \(-0.745218\pi\) |
−0.197861 | + | 0.980230i | \(0.563399\pi\) | |||||||
\(878\) | −2.20355 | + | 2.54304i | −0.0743664 | + | 0.0858234i | ||||
\(879\) | −13.5029 | − | 8.67778i | −0.455441 | − | 0.292694i | ||||
\(880\) | 2.69675 | + | 3.11221i | 0.0909074 | + | 0.104913i | ||||
\(881\) | −3.52577 | − | 24.5223i | −0.118786 | − | 0.826177i | −0.958895 | − | 0.283760i | \(-0.908418\pi\) |
0.840109 | − | 0.542417i | \(-0.182491\pi\) | |||||||
\(882\) | 9.68265 | + | 2.84308i | 0.326032 | + | 0.0957316i | ||||
\(883\) | −40.7987 | + | 26.2197i | −1.37298 | + | 0.882363i | −0.998984 | − | 0.0450651i | \(-0.985650\pi\) |
−0.374000 | + | 0.927429i | \(0.622014\pi\) | |||||||
\(884\) | −1.47736 | + | 10.2753i | −0.0496891 | + | 0.345595i | ||||
\(885\) | 1.00418 | − | 2.19884i | 0.0337551 | − | 0.0739133i | ||||
\(886\) | −12.3519 | + | 27.0469i | −0.414971 | + | 0.908659i | ||||
\(887\) | −7.53993 | + | 52.4414i | −0.253166 | + | 1.76081i | 0.325783 | + | 0.945445i | \(0.394372\pi\) |
−0.578949 | + | 0.815364i | \(0.696537\pi\) | |||||||
\(888\) | 9.03066 | − | 5.80365i | 0.303049 | − | 0.194758i | ||||
\(889\) | −80.1061 | − | 23.5213i | −2.68667 | − | 0.788878i | ||||
\(890\) | 1.21199 | + | 8.42959i | 0.0406261 | + | 0.282560i | ||||
\(891\) | −2.69675 | − | 3.11221i | −0.0903445 | − | 0.104263i | ||||
\(892\) | 10.5048 | + | 6.75102i | 0.351727 | + | 0.226041i | ||||
\(893\) | 2.06383 | − | 2.38178i | 0.0690633 | − | 0.0797033i | ||||
\(894\) | 0.0680235 | − | 0.0199735i | 0.00227505 | − | 0.000668014i | ||||
\(895\) | 7.96672 | + | 17.4447i | 0.266298 | + | 0.583111i | ||||
\(896\) | −4.13418 | −0.138113 | ||||||||
\(897\) | 24.0318 | + | 21.1764i | 0.802400 | + | 0.707060i | ||||
\(898\) | 36.7692 | 1.22701 | ||||||||
\(899\) | 10.3852 | + | 22.7405i | 0.346366 | + | 0.758437i | ||||
\(900\) | −0.959493 | + | 0.281733i | −0.0319831 | + | 0.00939109i | ||||
\(901\) | −6.63613 | + | 7.65851i | −0.221082 | + | 0.255142i | ||||
\(902\) | 34.2576 | + | 22.0160i | 1.14065 | + | 0.733053i | ||||
\(903\) | −11.1825 | − | 12.9053i | −0.372129 | − | 0.429460i | ||||
\(904\) | −2.23245 | − | 15.5270i | −0.0742502 | − | 0.516421i | ||||
\(905\) | −15.7806 | − | 4.63360i | −0.524564 | − | 0.154026i | ||||
\(906\) | −5.88631 | + | 3.78290i | −0.195559 | + | 0.125678i | ||||
\(907\) | 7.02536 | − | 48.8625i | 0.233273 | − | 1.62245i | −0.450513 | − | 0.892770i | \(-0.648759\pi\) |
0.683787 | − | 0.729682i | \(-0.260332\pi\) | |||||||
\(908\) | −2.60205 | + | 5.69769i | −0.0863519 | + | 0.189084i | ||||
\(909\) | −1.74236 | + | 3.81523i | −0.0577903 | + | 0.126543i | ||||
\(910\) | −3.92955 | + | 27.3306i | −0.130263 | + | 0.906001i | ||||
\(911\) | −0.962930 | + | 0.618838i | −0.0319033 | + | 0.0205030i | −0.556495 | − | 0.830851i | \(-0.687854\pi\) |
0.524592 | + | 0.851354i | \(0.324218\pi\) | |||||||
\(912\) | 2.98680 | + | 0.877003i | 0.0989028 | + | 0.0290405i | ||||
\(913\) | −8.82472 | − | 61.3772i | −0.292055 | − | 2.03129i | ||||
\(914\) | 4.09367 | + | 4.72434i | 0.135406 | + | 0.156267i | ||||
\(915\) | 7.66684 | + | 4.92718i | 0.253458 | + | 0.162887i | ||||
\(916\) | −15.9103 | + | 18.3614i | −0.525690 | + | 0.606679i | ||||
\(917\) | 42.1707 | − | 12.3824i | 1.39260 | − | 0.408904i | ||||
\(918\) | −0.645678 | − | 1.41384i | −0.0213105 | − | 0.0466636i | ||||
\(919\) | 19.5963 | 0.646421 | 0.323211 | − | 0.946327i | \(-0.395238\pi\) | ||||
0.323211 | + | 0.946327i | \(0.395238\pi\) | |||||||
\(920\) | 4.74117 | + | 0.721999i | 0.156312 | + | 0.0238036i | ||||
\(921\) | −17.2131 | −0.567190 | ||||||||
\(922\) | −5.72779 | − | 12.5421i | −0.188635 | − | 0.413053i | ||||
\(923\) | −3.98756 | + | 1.17085i | −0.131252 | + | 0.0385391i | ||||
\(924\) | −11.1488 | + | 12.8664i | −0.366770 | + | 0.423275i | ||||
\(925\) | −9.03066 | − | 5.80365i | −0.296926 | − | 0.190823i | ||||
\(926\) | 1.79969 | + | 2.07695i | 0.0591414 | + | 0.0682528i | ||||
\(927\) | 1.54774 | + | 10.7648i | 0.0508345 | + | 0.353561i | ||||
\(928\) | 3.41549 | + | 1.00288i | 0.112119 | + | 0.0329211i | ||||
\(929\) | −23.4456 | + | 15.0676i | −0.769224 | + | 0.494351i | −0.865442 | − | 0.501010i | \(-0.832962\pi\) |
0.0962171 | + | 0.995360i | \(0.469326\pi\) | |||||||
\(930\) | −0.999476 | + | 6.95151i | −0.0327741 | + | 0.227949i | ||||
\(931\) | −13.0497 | + | 28.5748i | −0.427685 | + | 0.936500i | ||||
\(932\) | 0.0625120 | − | 0.136882i | 0.00204765 | − | 0.00448373i | ||||
\(933\) | −0.394826 | + | 2.74608i | −0.0129260 | + | 0.0899025i | ||||
\(934\) | −15.0649 | + | 9.68160i | −0.492937 | + | 0.316792i | ||||
\(935\) | 6.14140 | + | 1.80328i | 0.200845 | + | 0.0589734i | ||||
\(936\) | 0.950503 | + | 6.61089i | 0.0310682 | + | 0.216084i | ||||
\(937\) | 35.3420 | + | 40.7869i | 1.15457 | + | 1.33245i | 0.934082 | + | 0.357060i | \(0.116221\pi\) |
0.220492 | + | 0.975389i | \(0.429234\pi\) | |||||||
\(938\) | −25.3407 | − | 16.2855i | −0.827402 | − | 0.531739i | ||||
\(939\) | 11.2647 | − | 13.0001i | 0.367609 | − | 0.424243i | ||||
\(940\) | 0.971409 | − | 0.285231i | 0.0316839 | − | 0.00930322i | ||||
\(941\) | 3.41139 | + | 7.46991i | 0.111208 | + | 0.243512i | 0.957051 | − | 0.289921i | \(-0.0936290\pi\) |
−0.845842 | + | 0.533433i | \(0.820902\pi\) | |||||||
\(942\) | 5.55315 | 0.180932 | ||||||||
\(943\) | 46.9963 | − | 6.35831i | 1.53041 | − | 0.207055i | ||||
\(944\) | −2.41729 | −0.0786760 | ||||||||
\(945\) | −1.71740 | − | 3.76058i | −0.0558670 | − | 0.122332i | ||||
\(946\) | 16.3205 | − | 4.79212i | 0.530624 | − | 0.155805i | ||||
\(947\) | 18.4497 | − | 21.2920i | 0.599533 | − | 0.691898i | −0.372153 | − | 0.928171i | \(-0.621380\pi\) |
0.971687 | + | 0.236273i | \(0.0759259\pi\) | |||||||
\(948\) | 9.79188 | + | 6.29286i | 0.318025 | + | 0.204383i | ||||
\(949\) | −31.4748 | − | 36.3239i | −1.02172 | − | 1.17912i | ||||
\(950\) | −0.443011 | − | 3.08121i | −0.0143732 | − | 0.0999676i | ||||
\(951\) | −2.65200 | − | 0.778698i | −0.0859970 | − | 0.0252510i | ||||
\(952\) | −5.40567 | + | 3.47402i | −0.175199 | + | 0.112593i | ||||
\(953\) | −2.36522 | + | 16.4504i | −0.0766169 | + | 0.532882i | 0.914978 | + | 0.403503i | \(0.132208\pi\) |
−0.991595 | + | 0.129379i | \(0.958702\pi\) | |||||||
\(954\) | −2.70841 | + | 5.93059i | −0.0876881 | + | 0.192010i | ||||
\(955\) | 2.75834 | − | 6.03993i | 0.0892579 | − | 0.195448i | ||||
\(956\) | −2.52263 | + | 17.5453i | −0.0815878 | + | 0.567455i | ||||
\(957\) | 12.3319 | − | 7.92522i | 0.398633 | − | 0.256186i | ||||
\(958\) | −37.9509 | − | 11.1434i | −1.22614 | − | 0.360027i | ||||
\(959\) | −0.801703 | − | 5.57597i | −0.0258883 | − | 0.180057i | ||||
\(960\) | 0.654861 | + | 0.755750i | 0.0211355 | + | 0.0243917i | ||||
\(961\) | 15.4138 | + | 9.90585i | 0.497219 | + | 0.319544i | ||||
\(962\) | −46.9510 | + | 54.1844i | −1.51376 | + | 1.74697i | ||||
\(963\) | −7.00637 | + | 2.05726i | −0.225777 | + | 0.0662942i | ||||
\(964\) | −0.481717 | − | 1.05481i | −0.0155151 | − | 0.0339733i | ||||
\(965\) | −1.37370 | −0.0442209 | ||||||||
\(966\) | −0.165000 | + | 19.8261i | −0.00530880 | + | 0.637895i | ||||
\(967\) | −54.5421 | −1.75396 | −0.876979 | − | 0.480530i | \(-0.840444\pi\) | ||||
−0.876979 | + | 0.480530i | \(0.840444\pi\) | |||||||
\(968\) | −2.47518 | − | 5.41989i | −0.0795553 | − | 0.174202i | ||||
\(969\) | 4.64237 | − | 1.36312i | 0.149134 | − | 0.0437898i | ||||
\(970\) | 1.02313 | − | 1.18075i | 0.0328507 | − | 0.0379117i | ||||
\(971\) | 42.8776 | + | 27.5558i | 1.37601 | + | 0.884307i | 0.999120 | − | 0.0419521i | \(-0.0133577\pi\) |
0.376888 | + | 0.926259i | \(0.376994\pi\) | |||||||
\(972\) | −0.654861 | − | 0.755750i | −0.0210047 | − | 0.0242407i | ||||
\(973\) | −4.69186 | − | 32.6326i | −0.150414 | − | 1.04615i | ||||
\(974\) | 0.437731 | + | 0.128530i | 0.0140258 | + | 0.00411835i | ||||
\(975\) | 5.61863 | − | 3.61087i | 0.179940 | − | 0.115640i | ||||
\(976\) | 1.29700 | − | 9.02082i | 0.0415159 | − | 0.288749i | ||||
\(977\) | −12.3382 | + | 27.0168i | −0.394733 | + | 0.864345i | 0.603044 | + | 0.797708i | \(0.293954\pi\) |
−0.997777 | + | 0.0666370i | \(0.978773\pi\) | |||||||
\(978\) | 10.0381 | − | 21.9804i | 0.320984 | − | 0.702856i | ||||
\(979\) | 4.99104 | − | 34.7135i | 0.159514 | − | 1.10945i | ||||
\(980\) | −8.48945 | + | 5.45584i | −0.271186 | + | 0.174280i | ||||
\(981\) | −14.7497 | − | 4.33091i | −0.470923 | − | 0.138275i | ||||
\(982\) | 3.25956 | + | 22.6708i | 0.104017 | + | 0.723453i | ||||
\(983\) | −31.9696 | − | 36.8949i | −1.01967 | − | 1.17676i | −0.984140 | − | 0.177395i | \(-0.943233\pi\) |
−0.0355318 | − | 0.999369i | \(-0.511313\pi\) | |||||||
\(984\) | 8.31888 | + | 5.34622i | 0.265196 | + | 0.170431i | ||||
\(985\) | 1.31961 | − | 1.52292i | 0.0420464 | − | 0.0485241i | ||||
\(986\) | 5.30868 | − | 1.55877i | 0.169063 | − | 0.0496413i | ||||
\(987\) | 1.73873 | + | 3.80728i | 0.0553443 | + | 0.121187i | ||||
\(988\) | −20.7906 | −0.661438 | ||||||||
\(989\) | 10.8479 | − | 16.5747i | 0.344943 | − | 0.527045i | ||||
\(990\) | 4.11805 | 0.130880 | ||||||||
\(991\) | 12.4391 | + | 27.2377i | 0.395139 | + | 0.865235i | 0.997740 | + | 0.0671918i | \(0.0214039\pi\) |
−0.602601 | + | 0.798043i | \(0.705869\pi\) | |||||||
\(992\) | 6.73851 | − | 1.97861i | 0.213948 | − | 0.0628208i | ||||
\(993\) | −9.35566 | + | 10.7970i | −0.296893 | + | 0.342633i | ||||
\(994\) | −2.16410 | − | 1.39079i | −0.0686412 | − | 0.0441130i | ||||
\(995\) | 6.87434 | + | 7.93341i | 0.217931 | + | 0.251506i | ||||
\(996\) | −2.14294 | − | 14.9044i | −0.0679015 | − | 0.472265i | ||||
\(997\) | −16.3811 | − | 4.80993i | −0.518795 | − | 0.152332i | 0.0118441 | − | 0.999930i | \(-0.496230\pi\) |
−0.530639 | + | 0.847598i | \(0.678048\pi\) | |||||||
\(998\) | −4.52523 | + | 2.90819i | −0.143244 | + | 0.0920572i | ||||
\(999\) | 1.52772 | − | 10.6255i | 0.0483348 | − | 0.336176i |
(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.h.211.1 | yes | 30 | |
23.6 | even | 11 | inner | 690.2.m.h.121.1 | ✓ | 30 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.m.h.121.1 | ✓ | 30 | 23.6 | even | 11 | inner | |
690.2.m.h.211.1 | yes | 30 | 1.1 | even | 1 | trivial |