Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [429,2,Mod(7,429)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(429, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([0, 42, 55]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("429.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 429 = 3 \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 429.bs (of order \(60\), degree \(16\), 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: | \(3.42558224671\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 7.10 | ||
Character | \(\chi\) | \(=\) | 429.7 |
Dual form | 429.2.bs.b.184.10 |
$q$-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 \(\left(\mathbb{Z}/429\mathbb{Z}\right)^\times\).
\(n\) | \(67\) | \(79\) | \(287\) |
\(\chi(n)\) | \(e\left(\frac{11}{12}\right)\) | \(e\left(\frac{7}{10}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.400304 | − | 1.04283i | 0.283058 | − | 0.737390i | −0.716164 | − | 0.697932i | \(-0.754104\pi\) |
0.999221 | − | 0.0394579i | \(-0.0125631\pi\) | |||||||
\(3\) | 0.669131 | + | 0.743145i | 0.386323 | + | 0.429055i | ||||
\(4\) | 0.559044 | + | 0.503365i | 0.279522 | + | 0.251683i | ||||
\(5\) | −0.769642 | − | 0.121899i | −0.344195 | − | 0.0545151i | −0.0180558 | − | 0.999837i | \(-0.505748\pi\) |
−0.326139 | + | 0.945322i | \(0.605748\pi\) | |||||||
\(6\) | 1.04283 | − | 0.400304i | 0.425733 | − | 0.163423i | ||||
\(7\) | 0.172980 | − | 0.00906547i | 0.0653801 | − | 0.00342643i | −0.0196179 | − | 0.999808i | \(-0.506245\pi\) |
0.0849980 | + | 0.996381i | \(0.472912\pi\) | |||||||
\(8\) | 2.73925 | − | 1.39572i | 0.968472 | − | 0.493461i | ||||
\(9\) | −0.104528 | + | 0.994522i | −0.0348428 | + | 0.331507i | ||||
\(10\) | −0.435211 | + | 0.753807i | −0.137626 | + | 0.238375i | ||||
\(11\) | 2.86570 | − | 1.66966i | 0.864041 | − | 0.503422i | ||||
\(12\) | 0.752268i | 0.217161i | ||||||||
\(13\) | −2.20197 | + | 2.85505i | −0.610717 | + | 0.791849i | ||||
\(14\) | 0.0597907 | − | 0.184017i | 0.0159797 | − | 0.0491805i | ||||
\(15\) | −0.424402 | − | 0.653522i | −0.109580 | − | 0.168739i | ||||
\(16\) | −0.201694 | − | 1.91899i | −0.0504234 | − | 0.479747i | ||||
\(17\) | 4.58485 | + | 2.04131i | 1.11199 | + | 0.495090i | 0.878727 | − | 0.477324i | \(-0.158393\pi\) |
0.233263 | + | 0.972414i | \(0.425060\pi\) | |||||||
\(18\) | 0.995272 | + | 0.507116i | 0.234588 | + | 0.119528i | ||||
\(19\) | 1.51852 | − | 2.33831i | 0.348372 | − | 0.536446i | −0.620437 | − | 0.784257i | \(-0.713045\pi\) |
0.968808 | + | 0.247811i | \(0.0797112\pi\) | |||||||
\(20\) | −0.368904 | − | 0.455558i | −0.0824894 | − | 0.101866i | ||||
\(21\) | 0.122483 | + | 0.122483i | 0.0267279 | + | 0.0267279i | ||||
\(22\) | −0.594018 | − | 3.65680i | −0.126645 | − | 0.779633i | ||||
\(23\) | 0.636221 | + | 0.367322i | 0.132661 | + | 0.0765920i | 0.564862 | − | 0.825185i | \(-0.308929\pi\) |
−0.432201 | + | 0.901777i | \(0.642263\pi\) | |||||||
\(24\) | 2.87014 | + | 1.10174i | 0.585865 | + | 0.224892i | ||||
\(25\) | −4.17779 | − | 1.35745i | −0.835559 | − | 0.271489i | ||||
\(26\) | 2.09587 | + | 3.43916i | 0.411034 | + | 0.674476i | ||||
\(27\) | −0.809017 | + | 0.587785i | −0.155695 | + | 0.113119i | ||||
\(28\) | 0.101266 | + | 0.0820039i | 0.0191375 | + | 0.0154973i | ||||
\(29\) | 0.0587183 | − | 0.276248i | 0.0109037 | − | 0.0512979i | −0.972359 | − | 0.233489i | \(-0.924986\pi\) |
0.983263 | + | 0.182191i | \(0.0583190\pi\) | |||||||
\(30\) | −0.851401 | + | 0.180971i | −0.155444 | + | 0.0330406i | ||||
\(31\) | 0.874113 | + | 5.51893i | 0.156995 | + | 0.991230i | 0.932836 | + | 0.360301i | \(0.117326\pi\) |
−0.775841 | + | 0.630929i | \(0.782674\pi\) | |||||||
\(32\) | 3.85725 | + | 1.03355i | 0.681872 | + | 0.182707i | ||||
\(33\) | 3.15833 | + | 1.01241i | 0.549794 | + | 0.176238i | ||||
\(34\) | 3.96407 | − | 3.96407i | 0.679832 | − | 0.679832i | ||||
\(35\) | −0.134237 | − | 0.0141089i | −0.0226903 | − | 0.00238484i | ||||
\(36\) | −0.559044 | + | 0.503365i | −0.0931740 | + | 0.0838942i | ||||
\(37\) | 0.541893 | − | 0.351910i | 0.0890867 | − | 0.0578536i | −0.499327 | − | 0.866414i | \(-0.666419\pi\) |
0.588414 | + | 0.808560i | \(0.299753\pi\) | |||||||
\(38\) | −1.83059 | − | 2.51959i | −0.296961 | − | 0.408731i | ||||
\(39\) | −3.59512 | + | 0.274020i | −0.575680 | + | 0.0438784i | ||||
\(40\) | −2.27838 | + | 0.740292i | −0.360244 | + | 0.117050i | ||||
\(41\) | −1.37251 | − | 0.0719303i | −0.214350 | − | 0.0112336i | −0.0551415 | − | 0.998479i | \(-0.517561\pi\) |
−0.159209 | + | 0.987245i | \(0.550894\pi\) | |||||||
\(42\) | 0.176759 | − | 0.0786981i | 0.0272745 | − | 0.0121434i | ||||
\(43\) | −5.16037 | − | 8.93802i | −0.786949 | − | 1.36303i | −0.927828 | − | 0.373008i | \(-0.878326\pi\) |
0.140879 | − | 0.990027i | \(-0.455007\pi\) | |||||||
\(44\) | 2.44250 | + | 0.509079i | 0.368221 | + | 0.0767466i | ||||
\(45\) | 0.201681 | − | 0.752684i | 0.0300648 | − | 0.112204i | ||||
\(46\) | 0.637736 | − | 0.516428i | 0.0940290 | − | 0.0761432i | ||||
\(47\) | −0.543004 | − | 1.06571i | −0.0792053 | − | 0.155449i | 0.848007 | − | 0.529984i | \(-0.177802\pi\) |
−0.927213 | + | 0.374535i | \(0.877802\pi\) | |||||||
\(48\) | 1.29113 | − | 1.43394i | 0.186358 | − | 0.206972i | ||||
\(49\) | −6.93181 | + | 0.728563i | −0.990259 | + | 0.104080i | ||||
\(50\) | −3.08797 | + | 3.81333i | −0.436705 | + | 0.539286i | ||||
\(51\) | 1.55088 | + | 4.77311i | 0.217166 | + | 0.668369i | ||||
\(52\) | −2.66813 | + | 0.487704i | −0.370003 | + | 0.0676324i | ||||
\(53\) | −10.4147 | − | 7.56674i | −1.43057 | − | 1.03937i | −0.989910 | − | 0.141699i | \(-0.954744\pi\) |
−0.440662 | − | 0.897673i | \(-0.645256\pi\) | |||||||
\(54\) | 0.289106 | + | 1.07896i | 0.0393423 | + | 0.146828i | ||||
\(55\) | −2.40909 | + | 0.935715i | −0.324842 | + | 0.126172i | ||||
\(56\) | 0.461182 | − | 0.266263i | 0.0616280 | − | 0.0355810i | ||||
\(57\) | 2.75379 | − | 0.436158i | 0.364749 | − | 0.0577705i | ||||
\(58\) | −0.264574 | − | 0.171816i | −0.0347402 | − | 0.0225606i | ||||
\(59\) | −0.578874 | − | 11.0456i | −0.0753630 | − | 1.43801i | −0.730712 | − | 0.682686i | \(-0.760812\pi\) |
0.655349 | − | 0.755326i | \(-0.272522\pi\) | |||||||
\(60\) | 0.0917009 | − | 0.578977i | 0.0118385 | − | 0.0747456i | ||||
\(61\) | −5.47601 | + | 12.2993i | −0.701131 | + | 1.57477i | 0.112677 | + | 0.993632i | \(0.464058\pi\) |
−0.813808 | + | 0.581134i | \(0.802609\pi\) | |||||||
\(62\) | 6.10521 | + | 1.29770i | 0.775362 | + | 0.164808i | ||||
\(63\) | −0.00906547 | + | 0.172980i | −0.00114214 | + | 0.0217934i | ||||
\(64\) | 4.89022 | − | 6.73080i | 0.611277 | − | 0.841351i | ||||
\(65\) | 2.04276 | − | 1.92895i | 0.253373 | − | 0.239257i | ||||
\(66\) | 2.32006 | − | 2.88832i | 0.285579 | − | 0.355528i | ||||
\(67\) | −4.83907 | + | 1.29663i | −0.591187 | + | 0.158408i | −0.541996 | − | 0.840381i | \(-0.682331\pi\) |
−0.0491912 | + | 0.998789i | \(0.515664\pi\) | |||||||
\(68\) | 1.53561 | + | 3.44904i | 0.186220 | + | 0.418257i | ||||
\(69\) | 0.152741 | + | 0.718591i | 0.0183879 | + | 0.0865082i | ||||
\(70\) | −0.0684490 | + | 0.134339i | −0.00818121 | + | 0.0160565i | ||||
\(71\) | −1.49016 | − | 3.88199i | −0.176849 | − | 0.460707i | 0.816291 | − | 0.577641i | \(-0.196027\pi\) |
−0.993140 | + | 0.116934i | \(0.962693\pi\) | |||||||
\(72\) | 1.10174 | + | 2.87014i | 0.129842 | + | 0.338249i | ||||
\(73\) | 3.63895 | − | 7.14184i | 0.425907 | − | 0.835890i | −0.573948 | − | 0.818891i | \(-0.694589\pi\) |
0.999856 | − | 0.0169982i | \(-0.00541096\pi\) | |||||||
\(74\) | −0.150059 | − | 0.705972i | −0.0174440 | − | 0.0820676i | ||||
\(75\) | −1.78671 | − | 4.01301i | −0.206311 | − | 0.463383i | ||||
\(76\) | 2.02594 | − | 0.542850i | 0.232392 | − | 0.0622691i | ||||
\(77\) | 0.480571 | − | 0.314796i | 0.0547661 | − | 0.0358744i | ||||
\(78\) | −1.15339 | + | 3.85879i | −0.130595 | + | 0.436921i | ||||
\(79\) | −3.63885 | + | 5.00845i | −0.409403 | + | 0.563495i | −0.963073 | − | 0.269241i | \(-0.913227\pi\) |
0.553670 | + | 0.832736i | \(0.313227\pi\) | |||||||
\(80\) | −0.0786914 | + | 1.50152i | −0.00879796 | + | 0.167875i | ||||
\(81\) | −0.978148 | − | 0.207912i | −0.108683 | − | 0.0231013i | ||||
\(82\) | −0.624433 | + | 1.40250i | −0.0689571 | + | 0.154880i | ||||
\(83\) | −2.22276 | + | 14.0340i | −0.243980 | + | 1.54043i | 0.496312 | + | 0.868144i | \(0.334687\pi\) |
−0.740292 | + | 0.672286i | \(0.765313\pi\) | |||||||
\(84\) | 0.00681966 | + | 0.130127i | 0.000744086 | + | 0.0141980i | ||||
\(85\) | −3.27986 | − | 2.12997i | −0.355751 | − | 0.231027i | ||||
\(86\) | −11.3865 | + | 1.80345i | −1.22784 | + | 0.194471i | ||||
\(87\) | 0.244582 | − | 0.141210i | 0.0262220 | − | 0.0151393i | ||||
\(88\) | 5.51950 | − | 8.57334i | 0.588380 | − | 0.913921i | ||||
\(89\) | −0.404315 | − | 1.50892i | −0.0428573 | − | 0.159946i | 0.941181 | − | 0.337903i | \(-0.109718\pi\) |
−0.984038 | + | 0.177958i | \(0.943051\pi\) | |||||||
\(90\) | −0.704186 | − | 0.511621i | −0.0742277 | − | 0.0539296i | ||||
\(91\) | −0.355013 | + | 0.513828i | −0.0372155 | + | 0.0538638i | ||||
\(92\) | 0.170778 | + | 0.525601i | 0.0178048 | + | 0.0547977i | ||||
\(93\) | −3.51647 | + | 4.34248i | −0.364641 | + | 0.450294i | ||||
\(94\) | −1.32871 | + | 0.139654i | −0.137046 | + | 0.0144042i | ||||
\(95\) | −1.45375 | + | 1.61456i | −0.149152 | + | 0.165650i | ||||
\(96\) | 1.81293 | + | 3.55807i | 0.185031 | + | 0.363144i | ||||
\(97\) | 6.01783 | − | 4.87315i | 0.611018 | − | 0.494793i | −0.273144 | − | 0.961973i | \(-0.588063\pi\) |
0.884162 | + | 0.467180i | \(0.154730\pi\) | |||||||
\(98\) | −2.01507 | + | 7.52033i | −0.203553 | + | 0.759668i | ||||
\(99\) | 1.36097 | + | 3.02453i | 0.136782 | + | 0.303976i | ||||
\(100\) | −1.65228 | − | 2.86183i | −0.165228 | − | 0.286183i | ||||
\(101\) | 13.9550 | − | 6.21315i | 1.38857 | − | 0.618231i | 0.429932 | − | 0.902861i | \(-0.358537\pi\) |
0.958637 | + | 0.284630i | \(0.0918707\pi\) | |||||||
\(102\) | 5.59835 | + | 0.293397i | 0.554320 | + | 0.0290507i | ||||
\(103\) | −9.38909 | + | 3.05070i | −0.925134 | + | 0.300594i | −0.732571 | − | 0.680690i | \(-0.761680\pi\) |
−0.192563 | + | 0.981285i | \(0.561680\pi\) | |||||||
\(104\) | −2.04690 | + | 10.8940i | −0.200715 | + | 1.06825i | ||||
\(105\) | −0.0793374 | − | 0.109199i | −0.00774254 | − | 0.0106567i | ||||
\(106\) | −12.0599 | + | 7.83176i | −1.17136 | + | 0.760688i | ||||
\(107\) | −5.74586 | + | 5.17360i | −0.555473 | + | 0.500150i | −0.898380 | − | 0.439219i | \(-0.855255\pi\) |
0.342907 | + | 0.939369i | \(0.388589\pi\) | |||||||
\(108\) | −0.748147 | − | 0.0786334i | −0.0719904 | − | 0.00756650i | ||||
\(109\) | 1.26876 | − | 1.26876i | 0.121525 | − | 0.121525i | −0.643729 | − | 0.765254i | \(-0.722613\pi\) |
0.765254 | + | 0.643729i | \(0.222613\pi\) | |||||||
\(110\) | 0.0114199 | + | 2.88684i | 0.00108884 | + | 0.275249i | ||||
\(111\) | 0.624117 | + | 0.167232i | 0.0592386 | + | 0.0158729i | ||||
\(112\) | −0.0522854 | − | 0.330117i | −0.00494051 | − | 0.0311931i | ||||
\(113\) | −5.93779 | + | 1.26212i | −0.558580 | + | 0.118730i | −0.478546 | − | 0.878062i | \(-0.658836\pi\) |
−0.0800338 | + | 0.996792i | \(0.525503\pi\) | |||||||
\(114\) | 0.647516 | − | 3.04632i | 0.0606455 | − | 0.285314i | ||||
\(115\) | −0.444886 | − | 0.360262i | −0.0414859 | − | 0.0335946i | ||||
\(116\) | 0.171880 | − | 0.124878i | 0.0159586 | − | 0.0115946i | ||||
\(117\) | −2.60924 | − | 2.48834i | −0.241225 | − | 0.230047i | ||||
\(118\) | −11.7504 | − | 3.81792i | −1.08171 | − | 0.351468i | ||||
\(119\) | 0.811591 | + | 0.311541i | 0.0743984 | + | 0.0285589i | ||||
\(120\) | −2.07468 | − | 1.19782i | −0.189391 | − | 0.109345i | ||||
\(121\) | 5.42446 | − | 9.56949i | 0.493133 | − | 0.869954i | ||||
\(122\) | 10.6340 | + | 10.6340i | 0.962757 | + | 0.962757i | ||||
\(123\) | −0.864935 | − | 1.06811i | −0.0779886 | − | 0.0963078i | ||||
\(124\) | −2.28937 | + | 3.52532i | −0.205592 | + | 0.316583i | ||||
\(125\) | 6.52146 | + | 3.32285i | 0.583297 | + | 0.297205i | ||||
\(126\) | 0.176759 | + | 0.0786981i | 0.0157469 | + | 0.00701098i | ||||
\(127\) | 2.11450 | + | 20.1182i | 0.187632 | + | 1.78520i | 0.532382 | + | 0.846504i | \(0.321297\pi\) |
−0.344750 | + | 0.938694i | \(0.612036\pi\) | |||||||
\(128\) | −0.711661 | − | 1.09586i | −0.0629025 | − | 0.0968614i | ||||
\(129\) | 3.18928 | − | 9.81560i | 0.280801 | − | 0.864216i | ||||
\(130\) | −1.19384 | − | 2.90241i | −0.104707 | − | 0.254558i | ||||
\(131\) | − | 2.23674i | − | 0.195425i | −0.995215 | − | 0.0977124i | \(-0.968847\pi\) | ||
0.995215 | − | 0.0977124i | \(-0.0311525\pi\) | |||||||
\(132\) | 1.25603 | + | 2.15577i | 0.109324 | + | 0.187636i | ||||
\(133\) | 0.241475 | − | 0.418246i | 0.0209385 | − | 0.0362665i | ||||
\(134\) | −0.584943 | + | 5.56536i | −0.0505314 | + | 0.480774i | ||||
\(135\) | 0.694304 | − | 0.353766i | 0.0597562 | − | 0.0304473i | ||||
\(136\) | 15.4082 | − | 0.807508i | 1.32124 | − | 0.0692432i | ||||
\(137\) | −12.7476 | + | 4.89334i | −1.08910 | + | 0.418066i | −0.835639 | − | 0.549280i | \(-0.814902\pi\) |
−0.253461 | + | 0.967346i | \(0.581569\pi\) | |||||||
\(138\) | 0.810509 | + | 0.128372i | 0.0689951 | + | 0.0109278i | ||||
\(139\) | −1.97845 | − | 1.78140i | −0.167810 | − | 0.151096i | 0.580947 | − | 0.813941i | \(-0.302682\pi\) |
−0.748757 | + | 0.662845i | \(0.769349\pi\) | |||||||
\(140\) | −0.0679427 | − | 0.0754580i | −0.00574220 | − | 0.00637736i | ||||
\(141\) | 0.428633 | − | 1.11663i | 0.0360974 | − | 0.0940370i | ||||
\(142\) | −4.64476 | −0.389780 | ||||||||
\(143\) | −1.54321 | + | 11.8583i | −0.129050 | + | 0.991638i | ||||
\(144\) | 1.92956 | 0.160797 | ||||||||
\(145\) | −0.0788665 | + | 0.205454i | −0.00654951 | + | 0.0170621i | ||||
\(146\) | −5.99102 | − | 6.65371i | −0.495821 | − | 0.550665i | ||||
\(147\) | −5.17972 | − | 4.66384i | −0.427216 | − | 0.384667i | ||||
\(148\) | 0.480081 | + | 0.0760374i | 0.0394624 | + | 0.00625023i | ||||
\(149\) | −0.860006 | + | 0.330125i | −0.0704545 | + | 0.0270449i | −0.393340 | − | 0.919393i | \(-0.628680\pi\) |
0.322886 | + | 0.946438i | \(0.395347\pi\) | |||||||
\(150\) | −4.90011 | + | 0.256804i | −0.400092 | + | 0.0209679i | ||||
\(151\) | −5.98585 | + | 3.04994i | −0.487121 | + | 0.248201i | −0.680260 | − | 0.732971i | \(-0.738133\pi\) |
0.193139 | + | 0.981171i | \(0.438133\pi\) | |||||||
\(152\) | 0.895977 | − | 8.52465i | 0.0726734 | − | 0.691441i | ||||
\(153\) | −2.50937 | + | 4.34636i | −0.202871 | + | 0.351382i | ||||
\(154\) | −0.135904 | − | 0.627167i | −0.0109514 | − | 0.0505385i | ||||
\(155\) | − | 4.35416i | − | 0.349735i | ||||||
\(156\) | −2.14776 | − | 1.65647i | −0.171959 | − | 0.132624i | ||||
\(157\) | 0.0675702 | − | 0.207960i | 0.00539269 | − | 0.0165970i | −0.948324 | − | 0.317304i | \(-0.897223\pi\) |
0.953717 | + | 0.300707i | \(0.0972225\pi\) | |||||||
\(158\) | 3.76630 | + | 5.79960i | 0.299631 | + | 0.461391i | ||||
\(159\) | −1.34563 | − | 12.8028i | −0.106715 | − | 1.01533i | ||||
\(160\) | −2.84271 | − | 1.26566i | −0.224736 | − | 0.100059i | ||||
\(161\) | 0.113383 | + | 0.0577716i | 0.00893584 | + | 0.00455304i | ||||
\(162\) | −0.608372 | + | 0.936811i | −0.0477983 | + | 0.0736029i | ||||
\(163\) | 6.47951 | + | 8.00153i | 0.507514 | + | 0.626728i | 0.964924 | − | 0.262528i | \(-0.0845562\pi\) |
−0.457410 | + | 0.889256i | \(0.651223\pi\) | |||||||
\(164\) | −0.731087 | − | 0.731087i | −0.0570883 | − | 0.0570883i | ||||
\(165\) | −2.30737 | − | 1.16419i | −0.179629 | − | 0.0906321i | ||||
\(166\) | 13.7452 | + | 7.93582i | 1.06684 | + | 0.615939i | ||||
\(167\) | 6.88004 | + | 2.64100i | 0.532394 | + | 0.204367i | 0.609688 | − | 0.792642i | \(-0.291295\pi\) |
−0.0772942 | + | 0.997008i | \(0.524628\pi\) | |||||||
\(168\) | 0.506463 | + | 0.164560i | 0.0390745 | + | 0.0126961i | ||||
\(169\) | −3.30265 | − | 12.5735i | −0.254050 | − | 0.967191i | ||||
\(170\) | −3.53413 | + | 2.56770i | −0.271055 | + | 0.196933i | ||||
\(171\) | 2.16677 | + | 1.75462i | 0.165697 | + | 0.134179i | ||||
\(172\) | 1.61422 | − | 7.59429i | 0.123083 | − | 0.579059i | ||||
\(173\) | 16.6436 | − | 3.53770i | 1.26539 | − | 0.268966i | 0.474132 | − | 0.880454i | \(-0.342762\pi\) |
0.791254 | + | 0.611488i | \(0.209429\pi\) | |||||||
\(174\) | −0.0493501 | − | 0.311584i | −0.00374122 | − | 0.0236211i | ||||
\(175\) | −0.734978 | − | 0.196937i | −0.0555591 | − | 0.0148870i | ||||
\(176\) | −3.78205 | − | 5.16248i | −0.285083 | − | 0.389137i | ||||
\(177\) | 7.82112 | − | 7.82112i | 0.587872 | − | 0.587872i | ||||
\(178\) | −1.73540 | − | 0.182398i | −0.130073 | − | 0.0136713i | ||||
\(179\) | 18.3693 | − | 16.5398i | 1.37299 | − | 1.23624i | 0.430248 | − | 0.902711i | \(-0.358426\pi\) |
0.942739 | − | 0.333533i | \(-0.108241\pi\) | |||||||
\(180\) | 0.491624 | − | 0.319264i | 0.0366435 | − | 0.0237965i | ||||
\(181\) | −3.07771 | − | 4.23611i | −0.228765 | − | 0.314868i | 0.679169 | − | 0.733982i | \(-0.262341\pi\) |
−0.907933 | + | 0.419115i | \(0.862341\pi\) | |||||||
\(182\) | 0.393720 | + | 0.575905i | 0.0291845 | + | 0.0426889i | ||||
\(183\) | −12.8043 | + | 4.16038i | −0.946524 | + | 0.307544i | ||||
\(184\) | 2.25545 | + | 0.118203i | 0.166274 | + | 0.00871405i | ||||
\(185\) | −0.459962 | + | 0.204788i | −0.0338170 | + | 0.0150563i | ||||
\(186\) | 3.12080 | + | 5.40539i | 0.228828 | + | 0.396342i | ||||
\(187\) | 16.5471 | − | 1.80538i | 1.21004 | − | 0.132022i | ||||
\(188\) | 0.232876 | − | 0.869106i | 0.0169842 | − | 0.0633860i | ||||
\(189\) | −0.134615 | + | 0.109009i | −0.00979179 | + | 0.00792923i | ||||
\(190\) | 1.10176 | + | 2.16233i | 0.0799302 | + | 0.156872i | ||||
\(191\) | 3.77216 | − | 4.18940i | 0.272944 | − | 0.303135i | −0.591052 | − | 0.806633i | \(-0.701287\pi\) |
0.863996 | + | 0.503498i | \(0.167954\pi\) | |||||||
\(192\) | 8.27416 | − | 0.869649i | 0.597136 | − | 0.0627615i | ||||
\(193\) | 0.925114 | − | 1.14242i | 0.0665911 | − | 0.0822332i | −0.742762 | − | 0.669556i | \(-0.766485\pi\) |
0.809353 | + | 0.587322i | \(0.199818\pi\) | |||||||
\(194\) | −2.67289 | − | 8.22630i | −0.191902 | − | 0.590614i | ||||
\(195\) | 2.80036 | + | 0.227346i | 0.200538 | + | 0.0162806i | ||||
\(196\) | −4.24192 | − | 3.08194i | −0.302994 | − | 0.220138i | ||||
\(197\) | 1.21361 | + | 4.52926i | 0.0864663 | + | 0.322697i | 0.995588 | − | 0.0938343i | \(-0.0299124\pi\) |
−0.909121 | + | 0.416531i | \(0.863246\pi\) | |||||||
\(198\) | 3.69886 | − | 0.208524i | 0.262867 | − | 0.0148192i | ||||
\(199\) | 9.65646 | − | 5.57516i | 0.684528 | − | 0.395212i | −0.117031 | − | 0.993128i | \(-0.537338\pi\) |
0.801559 | + | 0.597916i | \(0.204004\pi\) | |||||||
\(200\) | −13.3386 | + | 2.11263i | −0.943185 | + | 0.149386i | ||||
\(201\) | −4.20155 | − | 2.72852i | −0.296355 | − | 0.192455i | ||||
\(202\) | −0.893016 | − | 17.0398i | −0.0628324 | − | 1.19891i | ||||
\(203\) | 0.00765274 | − | 0.0483175i | 0.000537117 | − | 0.00339122i | ||||
\(204\) | −1.53561 | + | 3.44904i | −0.107514 | + | 0.241481i | ||||
\(205\) | 1.04757 | + | 0.222669i | 0.0731658 | + | 0.0155519i | ||||
\(206\) | −0.577136 | + | 11.0124i | −0.0402110 | + | 0.767271i | ||||
\(207\) | −0.431813 | + | 0.594340i | −0.0300131 | + | 0.0413095i | ||||
\(208\) | 5.92294 | + | 3.64971i | 0.410682 | + | 0.253062i | ||||
\(209\) | 0.447424 | − | 9.23631i | 0.0309490 | − | 0.638889i | ||||
\(210\) | −0.145634 | + | 0.0390226i | −0.0100497 | + | 0.00269282i | ||||
\(211\) | 3.81000 | + | 8.55739i | 0.262291 | + | 0.589115i | 0.995900 | − | 0.0904561i | \(-0.0288325\pi\) |
−0.733609 | + | 0.679571i | \(0.762166\pi\) | |||||||
\(212\) | −2.01345 | − | 9.47255i | −0.138284 | − | 0.650577i | ||||
\(213\) | 1.88777 | − | 3.70496i | 0.129348 | − | 0.253860i | ||||
\(214\) | 3.09508 | + | 8.06295i | 0.211575 | + | 0.551172i | ||||
\(215\) | 2.88210 | + | 7.50812i | 0.196557 | + | 0.512050i | ||||
\(216\) | −1.39572 | + | 2.73925i | −0.0949667 | + | 0.186383i | ||||
\(217\) | 0.201235 | + | 0.946738i | 0.0136608 | + | 0.0642688i | ||||
\(218\) | −0.815209 | − | 1.83099i | −0.0552129 | − | 0.124010i | ||||
\(219\) | 7.74236 | − | 2.07456i | 0.523180 | − | 0.140186i | ||||
\(220\) | −1.81780 | − | 0.689548i | −0.122556 | − | 0.0464893i | ||||
\(221\) | −15.9237 | + | 8.59510i | −1.07115 | + | 0.578169i | ||||
\(222\) | 0.424230 | − | 0.583903i | 0.0284725 | − | 0.0391890i | ||||
\(223\) | −0.713851 | + | 13.6211i | −0.0478030 | + | 0.912135i | 0.864503 | + | 0.502627i | \(0.167633\pi\) |
−0.912306 | + | 0.409508i | \(0.865700\pi\) | |||||||
\(224\) | 0.676595 | + | 0.143815i | 0.0452069 | + | 0.00960902i | ||||
\(225\) | 1.78671 | − | 4.01301i | 0.119114 | − | 0.267534i | ||||
\(226\) | −1.06075 | + | 6.69732i | −0.0705601 | + | 0.445499i | ||||
\(227\) | −1.21612 | − | 23.2050i | −0.0807168 | − | 1.54017i | −0.676150 | − | 0.736764i | \(-0.736353\pi\) |
0.595434 | − | 0.803404i | \(-0.296980\pi\) | |||||||
\(228\) | 1.75904 | + | 1.14233i | 0.116495 | + | 0.0756528i | ||||
\(229\) | 21.1971 | − | 3.35729i | 1.40074 | − | 0.221856i | 0.590068 | − | 0.807353i | \(-0.299101\pi\) |
0.810674 | + | 0.585497i | \(0.199101\pi\) | |||||||
\(230\) | −0.553781 | + | 0.319725i | −0.0365152 | + | 0.0210821i | ||||
\(231\) | 0.555504 | + | 0.146494i | 0.0365495 | + | 0.00963860i | ||||
\(232\) | −0.224720 | − | 0.838667i | −0.0147536 | − | 0.0550612i | ||||
\(233\) | −23.4215 | − | 17.0167i | −1.53439 | − | 1.11480i | −0.953732 | − | 0.300657i | \(-0.902794\pi\) |
−0.580661 | − | 0.814145i | \(-0.697206\pi\) | |||||||
\(234\) | −3.63940 | + | 1.72490i | −0.237915 | + | 0.112760i | ||||
\(235\) | 0.288010 | + | 0.886404i | 0.0187877 | + | 0.0578226i | ||||
\(236\) | 5.23635 | − | 6.46635i | 0.340857 | − | 0.420923i | ||||
\(237\) | −6.15687 | + | 0.647114i | −0.399932 | + | 0.0420345i | ||||
\(238\) | 0.649766 | − | 0.721638i | 0.0421181 | − | 0.0467769i | ||||
\(239\) | −5.89848 | − | 11.5764i | −0.381541 | − | 0.748816i | 0.617754 | − | 0.786372i | \(-0.288043\pi\) |
−0.999295 | + | 0.0375553i | \(0.988043\pi\) | |||||||
\(240\) | −1.16850 | + | 0.946235i | −0.0754265 | + | 0.0610792i | ||||
\(241\) | 7.46478 | − | 27.8589i | 0.480849 | − | 1.79455i | −0.117218 | − | 0.993106i | \(-0.537398\pi\) |
0.598067 | − | 0.801446i | \(-0.295936\pi\) | |||||||
\(242\) | −7.80790 | − | 9.48748i | −0.501911 | − | 0.609879i | ||||
\(243\) | −0.500000 | − | 0.866025i | −0.0320750 | − | 0.0555556i | ||||
\(244\) | −9.25237 | + | 4.11942i | −0.592323 | + | 0.263719i | ||||
\(245\) | 5.42383 | + | 0.284251i | 0.346516 | + | 0.0181601i | ||||
\(246\) | −1.46009 | + | 0.474411i | −0.0930917 | + | 0.0302473i | ||||
\(247\) | 3.33227 | + | 9.48434i | 0.212028 | + | 0.603474i | ||||
\(248\) | 10.0973 | + | 13.8977i | 0.641179 | + | 0.882508i | ||||
\(249\) | −11.9166 | + | 7.73873i | −0.755184 | + | 0.490422i | ||||
\(250\) | 6.07572 | − | 5.47061i | 0.384262 | − | 0.345991i | ||||
\(251\) | 1.13709 | + | 0.119513i | 0.0717723 | + | 0.00754357i | 0.140347 | − | 0.990102i | \(-0.455178\pi\) |
−0.0685742 | + | 0.997646i | \(0.521845\pi\) | |||||||
\(252\) | −0.0921399 | + | 0.0921399i | −0.00580427 | + | 0.00580427i | ||||
\(253\) | 2.43652 | − | 0.00963849i | 0.153183 | − | 0.000605967i | ||||
\(254\) | 21.8262 | + | 5.84832i | 1.36950 | + | 0.366956i | ||||
\(255\) | −0.611782 | − | 3.86264i | −0.0383113 | − | 0.241888i | ||||
\(256\) | 14.8482 | − | 3.15608i | 0.928011 | − | 0.197255i | ||||
\(257\) | −2.76037 | + | 12.9865i | −0.172187 | + | 0.810078i | 0.804252 | + | 0.594288i | \(0.202566\pi\) |
−0.976440 | + | 0.215790i | \(0.930767\pi\) | |||||||
\(258\) | −8.95930 | − | 7.25510i | −0.557781 | − | 0.451683i | ||||
\(259\) | 0.0905462 | − | 0.0657857i | 0.00562627 | − | 0.00408772i | ||||
\(260\) | 2.11296 | − | 0.0501141i | 0.131040 | − | 0.00310795i | ||||
\(261\) | 0.268597 | + | 0.0872724i | 0.0166257 | + | 0.00540202i | ||||
\(262\) | −2.33253 | − | 0.895375i | −0.144104 | − | 0.0553165i | ||||
\(263\) | 17.5548 | + | 10.1352i | 1.08247 | + | 0.624966i | 0.931562 | − | 0.363582i | \(-0.118446\pi\) |
0.150910 | + | 0.988547i | \(0.451780\pi\) | |||||||
\(264\) | 10.0645 | − | 1.63490i | 0.619427 | − | 0.100621i | ||||
\(265\) | 7.09323 | + | 7.09323i | 0.435734 | + | 0.435734i | ||||
\(266\) | −0.339495 | − | 0.419242i | −0.0208158 | − | 0.0257054i | ||||
\(267\) | 0.850810 | − | 1.31013i | 0.0520687 | − | 0.0801788i | ||||
\(268\) | −3.35793 | − | 1.71095i | −0.205118 | − | 0.104513i | ||||
\(269\) | −27.0952 | − | 12.0636i | −1.65202 | − | 0.735528i | −0.652275 | − | 0.757983i | \(-0.726185\pi\) |
−0.999748 | + | 0.0224547i | \(0.992852\pi\) | |||||||
\(270\) | −0.0909839 | − | 0.865654i | −0.00553710 | − | 0.0526820i | ||||
\(271\) | 13.9669 | + | 21.5071i | 0.848426 | + | 1.30646i | 0.950196 | + | 0.311654i | \(0.100883\pi\) |
−0.101769 | + | 0.994808i | \(0.532450\pi\) | |||||||
\(272\) | 2.99251 | − | 9.21000i | 0.181448 | − | 0.558438i | ||||
\(273\) | −0.619399 | + | 0.0799914i | −0.0374877 | + | 0.00484130i | ||||
\(274\) | 15.2523i | 0.921428i | ||||||||
\(275\) | −14.2388 | + | 3.08547i | −0.858630 | + | 0.186061i | ||||
\(276\) | −0.276325 | + | 0.478608i | −0.0166328 | + | 0.0288088i | ||||
\(277\) | 0.318247 | − | 3.02792i | 0.0191216 | − | 0.181930i | −0.980792 | − | 0.195055i | \(-0.937511\pi\) |
0.999914 | + | 0.0131252i | \(0.00417801\pi\) | |||||||
\(278\) | −2.64967 | + | 1.35008i | −0.158917 | + | 0.0809722i | ||||
\(279\) | −5.58007 | + | 0.292439i | −0.334070 | + | 0.0175079i | ||||
\(280\) | −0.387403 | + | 0.148710i | −0.0231517 | + | 0.00888712i | ||||
\(281\) | 19.5149 | + | 3.09085i | 1.16416 | + | 0.184385i | 0.708461 | − | 0.705750i | \(-0.249390\pi\) |
0.455698 | + | 0.890135i | \(0.349390\pi\) | |||||||
\(282\) | −0.992866 | − | 0.893981i | −0.0591243 | − | 0.0532358i | ||||
\(283\) | 10.9275 | + | 12.1363i | 0.649574 | + | 0.721425i | 0.974518 | − | 0.224308i | \(-0.0720122\pi\) |
−0.324944 | + | 0.945733i | \(0.605346\pi\) | |||||||
\(284\) | 1.12100 | − | 2.92029i | 0.0665189 | − | 0.173288i | ||||
\(285\) | −2.17260 | −0.128694 | ||||||||
\(286\) | 11.7484 | + | 6.35621i | 0.694696 | + | 0.375851i | ||||
\(287\) | −0.238068 | −0.0140527 | ||||||||
\(288\) | −1.43108 | + | 3.72808i | −0.0843270 | + | 0.219679i | ||||
\(289\) | 5.47871 | + | 6.08472i | 0.322277 | + | 0.357925i | ||||
\(290\) | 0.182683 | + | 0.164488i | 0.0107275 | + | 0.00965909i | ||||
\(291\) | 7.64817 | + | 1.21135i | 0.448344 | + | 0.0710107i | ||||
\(292\) | 5.62929 | − | 2.16088i | 0.329429 | − | 0.126456i | ||||
\(293\) | −6.61081 | + | 0.346458i | −0.386208 | + | 0.0202403i | −0.244452 | − | 0.969661i | \(-0.578608\pi\) |
−0.141756 | + | 0.989902i | \(0.545275\pi\) | |||||||
\(294\) | −6.93704 | + | 3.53460i | −0.404576 | + | 0.206142i | ||||
\(295\) | −0.900923 | + | 8.57171i | −0.0524538 | + | 0.499064i | ||||
\(296\) | 0.993216 | − | 1.72030i | 0.0577295 | − | 0.0999904i | ||||
\(297\) | −1.33700 | + | 3.03520i | −0.0775804 | + | 0.176120i | ||||
\(298\) | 1.02899i | 0.0596077i | ||||||||
\(299\) | −2.44966 | + | 1.00761i | −0.141668 | + | 0.0582717i | ||||
\(300\) | 1.02116 | − | 3.14282i | 0.0589569 | − | 0.181451i | ||||
\(301\) | −0.973665 | − | 1.49931i | −0.0561211 | − | 0.0864190i | ||||
\(302\) | 0.784404 | + | 7.46311i | 0.0451374 | + | 0.429454i | ||||
\(303\) | 13.9550 | + | 6.21315i | 0.801691 | + | 0.356936i | ||||
\(304\) | −4.79347 | − | 2.44239i | −0.274924 | − | 0.140081i | ||||
\(305\) | 5.71385 | − | 8.79855i | 0.327174 | − | 0.503804i | ||||
\(306\) | 3.52799 | + | 4.35671i | 0.201682 | + | 0.249056i | ||||
\(307\) | 0.537462 | + | 0.537462i | 0.0306746 | + | 0.0306746i | 0.722278 | − | 0.691603i | \(-0.243095\pi\) |
−0.691603 | + | 0.722278i | \(0.743095\pi\) | |||||||
\(308\) | 0.427118 | + | 0.0659179i | 0.0243373 | + | 0.00375602i | ||||
\(309\) | −8.54964 | − | 4.93614i | −0.486372 | − | 0.280807i | ||||
\(310\) | −4.54064 | − | 1.74299i | −0.257891 | − | 0.0989950i | ||||
\(311\) | 4.83952 | + | 1.57245i | 0.274424 | + | 0.0891657i | 0.442996 | − | 0.896524i | \(-0.353916\pi\) |
−0.168572 | + | 0.985689i | \(0.553916\pi\) | |||||||
\(312\) | −9.46550 | + | 5.76840i | −0.535878 | + | 0.326571i | ||||
\(313\) | −24.6066 | + | 17.8778i | −1.39085 | + | 1.01051i | −0.395078 | + | 0.918647i | \(0.629283\pi\) |
−0.995772 | + | 0.0918640i | \(0.970717\pi\) | |||||||
\(314\) | −0.189818 | − | 0.153711i | −0.0107120 | − | 0.00867443i | ||||
\(315\) | 0.0280633 | − | 0.132027i | 0.00158119 | − | 0.00743889i | ||||
\(316\) | −4.55536 | + | 0.968272i | −0.256259 | + | 0.0544695i | ||||
\(317\) | −2.42126 | − | 15.2872i | −0.135992 | − | 0.858617i | −0.957503 | − | 0.288425i | \(-0.906869\pi\) |
0.821511 | − | 0.570193i | \(-0.193131\pi\) | |||||||
\(318\) | −13.8898 | − | 3.72175i | −0.778899 | − | 0.208705i | ||||
\(319\) | −0.292971 | − | 0.889683i | −0.0164033 | − | 0.0498127i | ||||
\(320\) | −4.58420 | + | 4.58420i | −0.256264 | + | 0.256264i | ||||
\(321\) | −7.68946 | − | 0.808195i | −0.429184 | − | 0.0451091i | ||||
\(322\) | 0.105634 | − | 0.0951128i | 0.00588673 | − | 0.00530043i | ||||
\(323\) | 11.7354 | − | 7.62105i | 0.652975 | − | 0.424047i | ||||
\(324\) | −0.442172 | − | 0.608597i | −0.0245651 | − | 0.0338110i | ||||
\(325\) | 13.0750 | − | 8.93876i | 0.725268 | − | 0.495833i | ||||
\(326\) | 10.9380 | − | 3.55397i | 0.605799 | − | 0.196836i | ||||
\(327\) | 1.79184 | + | 0.0939063i | 0.0990890 | + | 0.00519303i | ||||
\(328\) | −3.86005 | + | 1.71861i | −0.213136 | + | 0.0948941i | ||||
\(329\) | −0.103590 | − | 0.179423i | −0.00571109 | − | 0.00989189i | ||||
\(330\) | −2.13770 | + | 1.94016i | −0.117676 | + | 0.106802i | ||||
\(331\) | −6.14410 | + | 22.9301i | −0.337710 | + | 1.26035i | 0.563191 | + | 0.826327i | \(0.309574\pi\) |
−0.900901 | + | 0.434025i | \(0.857093\pi\) | |||||||
\(332\) | −8.30684 | + | 6.72675i | −0.455897 | + | 0.369178i | ||||
\(333\) | 0.293338 | + | 0.575709i | 0.0160749 | + | 0.0315487i | ||||
\(334\) | 5.50822 | − | 6.11750i | 0.301396 | − | 0.334734i | ||||
\(335\) | 3.88241 | − | 0.408058i | 0.212119 | − | 0.0222946i | ||||
\(336\) | 0.210339 | − | 0.259747i | 0.0114749 | − | 0.0141704i | ||||
\(337\) | 2.96004 | + | 9.11007i | 0.161244 | + | 0.496257i | 0.998740 | − | 0.0501861i | \(-0.0159815\pi\) |
−0.837496 | + | 0.546443i | \(0.815981\pi\) | |||||||
\(338\) | −14.4340 | − | 1.58912i | −0.785108 | − | 0.0864366i | ||||
\(339\) | −4.91109 | − | 3.56812i | −0.266734 | − | 0.193793i | ||||
\(340\) | −0.761435 | − | 2.84171i | −0.0412946 | − | 0.154114i | ||||
\(341\) | 11.7197 | + | 14.3561i | 0.634657 | + | 0.777428i | ||||
\(342\) | 2.69713 | − | 1.55719i | 0.145844 | − | 0.0842032i | ||||
\(343\) | −2.39005 | + | 0.378546i | −0.129050 | + | 0.0204396i | ||||
\(344\) | −26.6105 | − | 17.2811i | −1.43474 | − | 0.931733i | ||||
\(345\) | −0.0299603 | − | 0.571677i | −0.00161301 | − | 0.0307781i | ||||
\(346\) | 2.97327 | − | 18.7725i | 0.159844 | − | 1.00922i | ||||
\(347\) | −5.70493 | + | 12.8135i | −0.306257 | + | 0.687864i | −0.999459 | − | 0.0328791i | \(-0.989532\pi\) |
0.693203 | + | 0.720743i | \(0.256199\pi\) | |||||||
\(348\) | 0.207812 | + | 0.0441719i | 0.0111399 | + | 0.00236786i | ||||
\(349\) | −1.03184 | + | 19.6887i | −0.0552333 | + | 1.05391i | 0.820662 | + | 0.571413i | \(0.193605\pi\) |
−0.875896 | + | 0.482500i | \(0.839729\pi\) | |||||||
\(350\) | −0.499586 | + | 0.687621i | −0.0267040 | + | 0.0367549i | ||||
\(351\) | 0.103273 | − | 3.60407i | 0.00551233 | − | 0.192371i | ||||
\(352\) | 12.7794 | − | 3.47847i | 0.681144 | − | 0.185403i | ||||
\(353\) | 1.37860 | − | 0.369394i | 0.0733754 | − | 0.0196609i | −0.221945 | − | 0.975059i | \(-0.571240\pi\) |
0.295320 | + | 0.955398i | \(0.404574\pi\) | |||||||
\(354\) | −5.02526 | − | 11.2869i | −0.267089 | − | 0.599892i | ||||
\(355\) | 0.673675 | + | 3.16939i | 0.0357550 | + | 0.168214i | ||||
\(356\) | 0.533510 | − | 1.04707i | 0.0282760 | − | 0.0554947i | ||||
\(357\) | 0.311541 | + | 0.811591i | 0.0164885 | + | 0.0429539i | ||||
\(358\) | −9.89485 | − | 25.7770i | −0.522959 | − | 1.36236i | ||||
\(359\) | 4.76429 | − | 9.35045i | 0.251450 | − | 0.493498i | −0.730434 | − | 0.682984i | \(-0.760682\pi\) |
0.981883 | + | 0.189486i | \(0.0606821\pi\) | |||||||
\(360\) | −0.498080 | − | 2.34328i | −0.0262511 | − | 0.123502i | ||||
\(361\) | 4.56619 | + | 10.2558i | 0.240326 | + | 0.539780i | ||||
\(362\) | −5.64955 | + | 1.51379i | −0.296934 | + | 0.0795632i | ||||
\(363\) | 10.7412 | − | 2.37208i | 0.563766 | − | 0.124502i | ||||
\(364\) | −0.457111 | + | 0.108551i | −0.0239591 | + | 0.00568960i | ||||
\(365\) | −3.67128 | + | 5.05308i | −0.192163 | + | 0.264490i | ||||
\(366\) | −0.787067 | + | 15.0181i | −0.0411406 | + | 0.785010i | ||||
\(367\) | −3.93922 | − | 0.837307i | −0.205626 | − | 0.0437071i | 0.103947 | − | 0.994583i | \(-0.466853\pi\) |
−0.309573 | + | 0.950876i | \(0.600186\pi\) | |||||||
\(368\) | 0.576565 | − | 1.29499i | 0.0300555 | − | 0.0675059i | ||||
\(369\) | 0.215003 | − | 1.35747i | 0.0111926 | − | 0.0706673i | ||||
\(370\) | 0.0294342 | + | 0.561638i | 0.00153021 | + | 0.0291982i | ||||
\(371\) | −1.87013 | − | 1.21448i | −0.0970923 | − | 0.0630525i | ||||
\(372\) | −4.15171 | + | 0.657567i | −0.215256 | + | 0.0340933i | ||||
\(373\) | −3.38139 | + | 1.95224i | −0.175082 | + | 0.101083i | −0.584980 | − | 0.811048i | \(-0.698898\pi\) |
0.409898 | + | 0.912131i | \(0.365564\pi\) | |||||||
\(374\) | 4.74117 | − | 17.9785i | 0.245160 | − | 0.929644i | ||||
\(375\) | 1.89435 | + | 7.06981i | 0.0978238 | + | 0.365083i | ||||
\(376\) | −2.97485 | − | 2.16136i | −0.153416 | − | 0.111463i | ||||
\(377\) | 0.659406 | + | 0.775933i | 0.0339611 | + | 0.0399626i | ||||
\(378\) | 0.0597907 | + | 0.184017i | 0.00307530 | + | 0.00946480i | ||||
\(379\) | −12.8677 | + | 15.8903i | −0.660971 | + | 0.816231i | −0.991846 | − | 0.127444i | \(-0.959323\pi\) |
0.330875 | + | 0.943675i | \(0.392656\pi\) | |||||||
\(380\) | −1.62542 | + | 0.170839i | −0.0833825 | + | 0.00876386i | ||||
\(381\) | −13.5358 | + | 15.0331i | −0.693462 | + | 0.770167i | ||||
\(382\) | −2.85882 | − | 5.61074i | −0.146270 | − | 0.287071i | ||||
\(383\) | −21.3657 | + | 17.3016i | −1.09173 | + | 0.884069i | −0.993807 | − | 0.111124i | \(-0.964555\pi\) |
−0.0979283 | + | 0.995193i | \(0.531222\pi\) | |||||||
\(384\) | 0.338190 | − | 1.26214i | 0.0172582 | − | 0.0644084i | ||||
\(385\) | −0.408241 | + | 0.183699i | −0.0208059 | + | 0.00936218i | ||||
\(386\) | −0.821020 | − | 1.42205i | −0.0417888 | − | 0.0723804i | ||||
\(387\) | 9.42846 | − | 4.19782i | 0.479276 | − | 0.213387i | ||||
\(388\) | 5.81720 | + | 0.304867i | 0.295324 | + | 0.0154773i | ||||
\(389\) | 2.65224 | − | 0.861764i | 0.134474 | − | 0.0436932i | −0.241007 | − | 0.970523i | \(-0.577478\pi\) |
0.375481 | + | 0.926830i | \(0.377478\pi\) | |||||||
\(390\) | 1.35808 | − | 2.82929i | 0.0687690 | − | 0.143267i | ||||
\(391\) | 2.16716 | + | 2.98284i | 0.109598 | + | 0.150849i | ||||
\(392\) | −17.9711 | + | 11.6706i | −0.907679 | + | 0.589454i | ||||
\(393\) | 1.66222 | − | 1.49667i | 0.0838479 | − | 0.0754970i | ||||
\(394\) | 5.20906 | + | 0.547494i | 0.262428 | + | 0.0275823i | ||||
\(395\) | 3.41114 | − | 3.41114i | 0.171633 | − | 0.171633i | ||||
\(396\) | −0.761601 | + | 2.37591i | −0.0382719 | + | 0.119394i | ||||
\(397\) | 25.3146 | + | 6.78303i | 1.27050 | + | 0.340431i | 0.830224 | − | 0.557430i | \(-0.188212\pi\) |
0.440280 | + | 0.897860i | \(0.354879\pi\) | |||||||
\(398\) | −1.94841 | − | 12.3018i | −0.0976650 | − | 0.616632i | ||||
\(399\) | 0.472395 | − | 0.100411i | 0.0236494 | − | 0.00502683i | ||||
\(400\) | −1.76229 | + | 8.29092i | −0.0881145 | + | 0.414546i | ||||
\(401\) | 16.4913 | + | 13.3544i | 0.823538 | + | 0.666888i | 0.945491 | − | 0.325648i | \(-0.105582\pi\) |
−0.121953 | + | 0.992536i | \(0.538916\pi\) | |||||||
\(402\) | −4.52727 | + | 3.28926i | −0.225800 | + | 0.164053i | ||||
\(403\) | −17.6816 | − | 9.65689i | −0.880784 | − | 0.481044i | ||||
\(404\) | 10.9289 | + | 3.55102i | 0.543734 | + | 0.176670i | ||||
\(405\) | 0.727480 | + | 0.279253i | 0.0361488 | + | 0.0138762i | ||||
\(406\) | −0.0473234 | − | 0.0273222i | −0.00234862 | − | 0.00135598i | ||||
\(407\) | 0.965333 | − | 1.91325i | 0.0478498 | − | 0.0948360i | ||||
\(408\) | 10.9102 | + | 10.9102i | 0.540134 | + | 0.540134i | ||||
\(409\) | 14.2214 | + | 17.5620i | 0.703204 | + | 0.868385i | 0.996143 | − | 0.0877466i | \(-0.0279666\pi\) |
−0.292939 | + | 0.956131i | \(0.594633\pi\) | |||||||
\(410\) | 0.651554 | − | 1.00330i | 0.0321779 | − | 0.0495497i | ||||
\(411\) | −12.1663 | − | 6.19902i | −0.600117 | − | 0.305775i | ||||
\(412\) | −6.78453 | − | 3.02067i | −0.334250 | − | 0.148818i | ||||
\(413\) | −0.200267 | − | 1.90541i | −0.00985449 | − | 0.0937592i | ||||
\(414\) | 0.446938 | + | 0.688223i | 0.0219658 | + | 0.0338243i | ||||
\(415\) | 3.42147 | − | 10.5302i | 0.167953 | − | 0.516907i | ||||
\(416\) | −11.4444 | + | 8.73681i | −0.561107 | + | 0.428357i | ||||
\(417\) | − | 2.66226i | − | 0.130372i | ||||||
\(418\) | −9.45277 | − | 4.16392i | −0.462350 | − | 0.203664i | ||||
\(419\) | −16.2870 | + | 28.2099i | −0.795673 | + | 1.37815i | 0.126738 | + | 0.991936i | \(0.459549\pi\) |
−0.922411 | + | 0.386209i | \(0.873784\pi\) | |||||||
\(420\) | 0.0106137 | − | 0.100982i | 0.000517895 | − | 0.00492744i | ||||
\(421\) | 28.1090 | − | 14.3222i | 1.36995 | − | 0.698024i | 0.394633 | − | 0.918839i | \(-0.370872\pi\) |
0.975316 | + | 0.220815i | \(0.0708718\pi\) | |||||||
\(422\) | 10.4490 | − | 0.547611i | 0.508651 | − | 0.0266573i | ||||
\(423\) | 1.11663 | − | 0.428633i | 0.0542923 | − | 0.0208409i | ||||
\(424\) | −39.0896 | − | 6.19119i | −1.89836 | − | 0.300671i | ||||
\(425\) | −16.3836 | − | 14.7519i | −0.794721 | − | 0.715570i | ||||
\(426\) | −3.10795 | − | 3.45173i | −0.150581 | − | 0.167237i | ||||
\(427\) | −0.835738 | + | 2.17717i | −0.0404442 | + | 0.105361i | ||||
\(428\) | −5.81640 | −0.281146 | ||||||||
\(429\) | −9.84502 | + | 6.78790i | −0.475322 | + | 0.327723i | ||||
\(430\) | 8.98339 | 0.433218 | ||||||||
\(431\) | 6.27301 | − | 16.3418i | 0.302160 | − | 0.787155i | −0.695483 | − | 0.718543i | \(-0.744810\pi\) |
0.997643 | − | 0.0686123i | \(-0.0218572\pi\) | |||||||
\(432\) | 1.29113 | + | 1.43394i | 0.0621194 | + | 0.0689905i | ||||
\(433\) | −24.8843 | − | 22.4059i | −1.19586 | − | 1.07676i | −0.995276 | − | 0.0970846i | \(-0.969048\pi\) |
−0.200587 | − | 0.979676i | \(-0.564285\pi\) | |||||||
\(434\) | 1.06784 | + | 0.169129i | 0.0512580 | + | 0.00811846i | ||||
\(435\) | −0.205454 | + | 0.0788665i | −0.00985078 | + | 0.00378136i | ||||
\(436\) | 1.34794 | − | 0.0706427i | 0.0645548 | − | 0.00338317i | ||||
\(437\) | 1.82503 | − | 0.929898i | 0.0873029 | − | 0.0444830i | ||||
\(438\) | 0.935890 | − | 8.90440i | 0.0447186 | − | 0.425469i | ||||
\(439\) | −6.26118 | + | 10.8447i | −0.298830 | + | 0.517588i | −0.975868 | − | 0.218359i | \(-0.929930\pi\) |
0.677039 | + | 0.735947i | \(0.263263\pi\) | |||||||
\(440\) | −5.29312 | + | 5.92558i | −0.252340 | + | 0.282491i | ||||
\(441\) | − | 6.97000i | − | 0.331905i | ||||||
\(442\) | 2.58886 | + | 20.0464i | 0.123140 | + | 0.953509i | ||||
\(443\) | 7.83559 | − | 24.1155i | 0.372280 | − | 1.14576i | −0.573016 | − | 0.819544i | \(-0.694227\pi\) |
0.945295 | − | 0.326215i | \(-0.105773\pi\) | |||||||
\(444\) | 0.264730 | + | 0.407649i | 0.0125635 | + | 0.0193461i | ||||
\(445\) | 0.127241 | + | 1.21062i | 0.00603180 | + | 0.0573888i | ||||
\(446\) | 13.9187 | + | 6.19700i | 0.659069 | + | 0.293436i | ||||
\(447\) | −0.820788 | − | 0.418212i | −0.0388219 | − | 0.0197808i | ||||
\(448\) | 0.784889 | − | 1.20862i | 0.0370825 | − | 0.0571021i | ||||
\(449\) | 0.356539 | + | 0.440289i | 0.0168261 | + | 0.0207785i | 0.785490 | − | 0.618875i | \(-0.212411\pi\) |
−0.768663 | + | 0.639653i | \(0.779078\pi\) | |||||||
\(450\) | −3.46966 | − | 3.46966i | −0.163561 | − | 0.163561i | ||||
\(451\) | −4.05330 | + | 2.08550i | −0.190863 | + | 0.0982023i | ||||
\(452\) | −3.95479 | − | 2.28330i | −0.186018 | − | 0.107397i | ||||
\(453\) | −6.27186 | − | 2.40754i | −0.294678 | − | 0.113116i | ||||
\(454\) | −24.6856 | − | 8.02084i | −1.15855 | − | 0.376437i | ||||
\(455\) | 0.335869 | − | 0.352188i | 0.0157458 | − | 0.0165108i | ||||
\(456\) | 6.93458 | − | 5.03827i | 0.324741 | − | 0.235938i | ||||
\(457\) | −25.4569 | − | 20.6146i | −1.19082 | − | 0.964308i | −0.190971 | − | 0.981596i | \(-0.561164\pi\) |
−0.999851 | + | 0.0172876i | \(0.994497\pi\) | |||||||
\(458\) | 4.98420 | − | 23.4488i | 0.232897 | − | 1.09569i | ||||
\(459\) | −4.90907 | + | 1.04346i | −0.229136 | + | 0.0487043i | ||||
\(460\) | −0.0673676 | − | 0.425342i | −0.00314103 | − | 0.0198317i | ||||
\(461\) | −13.9301 | − | 3.73255i | −0.648788 | − | 0.173842i | −0.0806069 | − | 0.996746i | \(-0.525686\pi\) |
−0.568181 | + | 0.822904i | \(0.692353\pi\) | |||||||
\(462\) | 0.375138 | − | 0.520653i | 0.0174530 | − | 0.0242229i | ||||
\(463\) | −9.27874 | + | 9.27874i | −0.431219 | + | 0.431219i | −0.889043 | − | 0.457824i | \(-0.848629\pi\) |
0.457824 | + | 0.889043i | \(0.348629\pi\) | |||||||
\(464\) | −0.541959 | − | 0.0569622i | −0.0251598 | − | 0.00264441i | ||||
\(465\) | 3.23577 | − | 2.91350i | 0.150055 | − | 0.135110i | ||||
\(466\) | −27.1212 | + | 17.6127i | −1.25637 | + | 0.815894i | ||||
\(467\) | 5.64029 | + | 7.76320i | 0.261002 | + | 0.359238i | 0.919326 | − | 0.393496i | \(-0.128735\pi\) |
−0.658325 | + | 0.752734i | \(0.728735\pi\) | |||||||
\(468\) | −0.206137 | − | 2.70449i | −0.00952867 | − | 0.125015i | ||||
\(469\) | −0.825306 | + | 0.268158i | −0.0381091 | + | 0.0123824i | ||||
\(470\) | 1.03966 | + | 0.0544862i | 0.0479559 | + | 0.00251326i | ||||
\(471\) | 0.199758 | − | 0.0889378i | 0.00920434 | − | 0.00409804i | ||||
\(472\) | −17.0022 | − | 29.4487i | −0.782590 | − | 1.35549i | ||||
\(473\) | −29.7115 | − | 16.9976i | −1.36614 | − | 0.781551i | ||||
\(474\) | −1.78979 | + | 6.67960i | −0.0822079 | + | 0.306804i | ||||
\(475\) | −9.51819 | + | 7.70768i | −0.436724 | + | 0.353652i | ||||
\(476\) | 0.296896 | + | 0.582691i | 0.0136082 | + | 0.0267076i | ||||
\(477\) | 8.61392 | − | 9.56673i | 0.394404 | − | 0.438030i | ||||
\(478\) | −14.4334 | + | 1.51701i | −0.660168 | + | 0.0693865i | ||||
\(479\) | 9.46284 | − | 11.6856i | 0.432368 | − | 0.533930i | −0.513669 | − | 0.857988i | \(-0.671714\pi\) |
0.946037 | + | 0.324058i | \(0.105047\pi\) | |||||||
\(480\) | −0.961580 | − | 2.95944i | −0.0438899 | − | 0.135079i | ||||
\(481\) | −0.188512 | + | 2.32203i | −0.00859542 | + | 0.105875i | ||||
\(482\) | −26.0639 | − | 18.9365i | −1.18718 | − | 0.862535i | ||||
\(483\) | 0.0329355 | + | 0.122917i | 0.00149862 | + | 0.00559291i | ||||
\(484\) | 7.84946 | − | 2.61928i | 0.356794 | − | 0.119058i | ||||
\(485\) | −5.22561 | + | 3.01701i | −0.237283 | + | 0.136995i | ||||
\(486\) | −1.10327 | + | 0.174740i | −0.0500452 | + | 0.00792638i | ||||
\(487\) | 17.5357 | + | 11.3878i | 0.794618 | + | 0.516031i | 0.876954 | − | 0.480574i | \(-0.159571\pi\) |
−0.0823363 | + | 0.996605i | \(0.526238\pi\) | |||||||
\(488\) | 2.16622 | + | 41.3339i | 0.0980601 | + | 1.87110i | ||||
\(489\) | −1.61066 | + | 10.1693i | −0.0728364 | + | 0.459871i | ||||
\(490\) | 2.46760 | − | 5.54233i | 0.111475 | − | 0.250377i | ||||
\(491\) | 17.7394 | + | 3.77063i | 0.800569 | + | 0.170166i | 0.589990 | − | 0.807410i | \(-0.299132\pi\) |
0.210579 | + | 0.977577i | \(0.432465\pi\) | |||||||
\(492\) | 0.0541108 | − | 1.03250i | 0.00243950 | − | 0.0465485i | ||||
\(493\) | 0.833121 | − | 1.14669i | 0.0375219 | − | 0.0516445i | ||||
\(494\) | 11.2245 | + | 0.321633i | 0.505012 | + | 0.0144709i | ||||
\(495\) | −0.678771 | − | 2.49371i | −0.0305085 | − | 0.112084i | ||||
\(496\) | 10.4145 | − | 2.79055i | 0.467623 | − | 0.125299i | ||||
\(497\) | −0.292959 | − | 0.657996i | −0.0131410 | − | 0.0295151i | ||||
\(498\) | 3.29990 | + | 15.5248i | 0.147872 | + | 0.695683i | ||||
\(499\) | 11.8022 | − | 23.1632i | 0.528340 | − | 1.03693i | −0.460460 | − | 0.887680i | \(-0.652316\pi\) |
0.988800 | − | 0.149245i | \(-0.0476843\pi\) | |||||||
\(500\) | 1.97317 | + | 5.14029i | 0.0882430 | + | 0.229881i | ||||
\(501\) | 2.64100 | + | 6.88004i | 0.117991 | + | 0.307378i | ||||
\(502\) | 0.579812 | − | 1.13794i | 0.0258783 | − | 0.0507889i | ||||
\(503\) | 7.98781 | + | 37.5797i | 0.356159 | + | 1.67560i | 0.682924 | + | 0.730489i | \(0.260708\pi\) |
−0.326765 | + | 0.945106i | \(0.605959\pi\) | |||||||
\(504\) | 0.216598 | + | 0.486488i | 0.00964805 | + | 0.0216699i | ||||
\(505\) | −11.4977 | + | 3.08080i | −0.511641 | + | 0.137094i | ||||
\(506\) | 0.965298 | − | 2.54473i | 0.0429127 | − | 0.113127i | ||||
\(507\) | 7.13401 | − | 10.8677i | 0.316833 | − | 0.482649i | ||||
\(508\) | −8.94468 | + | 12.3113i | −0.396856 | + | 0.546226i | ||||
\(509\) | 1.01747 | − | 19.4145i | 0.0450986 | − | 0.860533i | −0.878634 | − | 0.477496i | \(-0.841545\pi\) |
0.923733 | − | 0.383038i | \(-0.125122\pi\) | |||||||
\(510\) | −4.27297 | − | 0.908247i | −0.189210 | − | 0.0402178i | ||||
\(511\) | 0.564720 | − | 1.26838i | 0.0249817 | − | 0.0561099i | ||||
\(512\) | 3.06135 | − | 19.3286i | 0.135294 | − | 0.854213i | ||||
\(513\) | 0.145919 | + | 2.78430i | 0.00644247 | + | 0.122930i | ||||
\(514\) | 12.4377 | + | 8.07715i | 0.548605 | + | 0.356268i | ||||
\(515\) | 7.59812 | − | 1.20342i | 0.334813 | − | 0.0530292i | ||||
\(516\) | 6.72378 | − | 3.88198i | 0.295998 | − | 0.170894i | ||||
\(517\) | −3.33546 | − | 2.14736i | −0.146693 | − | 0.0944407i | ||||
\(518\) | −0.0323571 | − | 0.120758i | −0.00142169 | − | 0.00530582i | ||||
\(519\) | 13.7657 | + | 10.0014i | 0.604249 | + | 0.439012i | ||||
\(520\) | 2.90336 | − | 8.13500i | 0.127321 | − | 0.356744i | ||||
\(521\) | −0.206229 | − | 0.634708i | −0.00903506 | − | 0.0278070i | 0.946437 | − | 0.322887i | \(-0.104654\pi\) |
−0.955472 | + | 0.295080i | \(0.904654\pi\) | |||||||
\(522\) | 0.198530 | − | 0.245165i | 0.00868944 | − | 0.0107306i | ||||
\(523\) | 19.0682 | − | 2.00415i | 0.833794 | − | 0.0876353i | 0.321996 | − | 0.946741i | \(-0.395646\pi\) |
0.511798 | + | 0.859106i | \(0.328980\pi\) | |||||||
\(524\) | 1.12590 | − | 1.25043i | 0.0491850 | − | 0.0546255i | ||||
\(525\) | −0.345444 | − | 0.677972i | −0.0150764 | − | 0.0295891i | ||||
\(526\) | 17.5965 | − | 14.2494i | 0.767246 | − | 0.621304i | ||||
\(527\) | −7.25816 | + | 27.0878i | −0.316171 | + | 1.17996i | ||||
\(528\) | 1.30578 | − | 6.26499i | 0.0568269 | − | 0.272649i | ||||
\(529\) | −11.2301 | − | 19.4512i | −0.488267 | − | 0.845704i | ||||
\(530\) | 10.2365 | − | 4.55757i | 0.444644 | − | 0.197968i | ||||
\(531\) | 11.0456 | + | 0.578874i | 0.479337 | + | 0.0251210i | ||||
\(532\) | 0.345525 | − | 0.112268i | 0.0149804 | − | 0.00486744i | ||||
\(533\) | 3.22759 | − | 3.76020i | 0.139803 | − | 0.162873i | ||||
\(534\) | −1.02566 | − | 1.41170i | −0.0443846 | − | 0.0610902i | ||||
\(535\) | 5.05292 | − | 3.28140i | 0.218457 | − | 0.141867i | ||||
\(536\) | −11.4457 | + | 10.3058i | −0.494380 | + | 0.445142i | ||||
\(537\) | 24.5829 | + | 2.58377i | 1.06083 | + | 0.111498i | ||||
\(538\) | −23.4265 | + | 23.4265i | −1.00999 | + | 1.00999i | ||||
\(539\) | −18.6480 | + | 13.6616i | −0.803228 | + | 0.588448i | ||||
\(540\) | 0.566220 | + | 0.151718i | 0.0243662 | + | 0.00652891i | ||||
\(541\) | −5.13136 | − | 32.3981i | −0.220614 | − | 1.39290i | −0.810652 | − | 0.585528i | \(-0.800887\pi\) |
0.590038 | − | 0.807375i | \(-0.299113\pi\) | |||||||
\(542\) | 28.0192 | − | 5.95566i | 1.20353 | − | 0.255817i | ||||
\(543\) | 1.08865 | − | 5.12170i | 0.0467185 | − | 0.219793i | ||||
\(544\) | 15.5751 | + | 12.6125i | 0.667778 | + | 0.540756i | ||||
\(545\) | −1.13115 | + | 0.821831i | −0.0484533 | + | 0.0352034i | ||||
\(546\) | −0.164530 | + | 0.677947i | −0.00704125 | + | 0.0290134i | ||||
\(547\) | 28.5092 | + | 9.26322i | 1.21897 | + | 0.396067i | 0.846706 | − | 0.532061i | \(-0.178582\pi\) |
0.372262 | + | 0.928128i | \(0.378582\pi\) | |||||||
\(548\) | −9.58959 | − | 3.68110i | −0.409647 | − | 0.157249i | ||||
\(549\) | −11.6595 | − | 6.73164i | −0.497617 | − | 0.287299i | ||||
\(550\) | −2.48223 | + | 16.0837i | −0.105843 | + | 0.685812i | ||||
\(551\) | −0.556789 | − | 0.556789i | −0.0237200 | − | 0.0237200i | ||||
\(552\) | 1.42135 | + | 1.75522i | 0.0604966 | + | 0.0747071i | ||||
\(553\) | −0.584043 | + | 0.899348i | −0.0248360 | + | 0.0382442i | ||||
\(554\) | −3.03020 | − | 1.54397i | −0.128741 | − | 0.0655968i | ||||
\(555\) | −0.459962 | − | 0.204788i | −0.0195243 | − | 0.00869277i | ||||
\(556\) | −0.209343 | − | 1.99176i | −0.00887810 | − | 0.0844695i | ||||
\(557\) | 5.37653 | + | 8.27914i | 0.227811 | + | 0.350798i | 0.934030 | − | 0.357196i | \(-0.116267\pi\) |
−0.706219 | + | 0.707994i | \(0.749600\pi\) | |||||||
\(558\) | −1.92876 | + | 5.93612i | −0.0816510 | + | 0.251296i | ||||
\(559\) | 36.8815 | + | 4.94813i | 1.55992 | + | 0.209284i | ||||
\(560\) | 0.260446i | 0.0110058i | ||||||||
\(561\) | 12.4138 | + | 11.0889i | 0.524112 | + | 0.468172i | ||||
\(562\) | 11.0351 | − | 19.1133i | 0.465487 | − | 0.806248i | ||||
\(563\) | −0.868422 | + | 8.26248i | −0.0365996 | + | 0.348222i | 0.960863 | + | 0.277025i | \(0.0893485\pi\) |
−0.997462 | + | 0.0711969i | \(0.977318\pi\) | |||||||
\(564\) | 0.801696 | − | 0.408485i | 0.0337575 | − | 0.0172003i | ||||
\(565\) | 4.72383 | − | 0.247565i | 0.198733 | − | 0.0104151i | ||||
\(566\) | 17.0303 | − | 6.53734i | 0.715839 | − | 0.274785i | ||||
\(567\) | −0.171084 | − | 0.0270971i | −0.00718487 | − | 0.00113797i | ||||
\(568\) | −9.50008 | − | 8.55391i | −0.398615 | − | 0.358914i | ||||
\(569\) | 7.36337 | + | 8.17785i | 0.308688 | + | 0.342833i | 0.877449 | − | 0.479670i | \(-0.159244\pi\) |
−0.568761 | + | 0.822503i | \(0.692577\pi\) | |||||||
\(570\) | −0.869701 | + | 2.26565i | −0.0364278 | + | 0.0948976i | ||||
\(571\) | 11.0740 | 0.463434 | 0.231717 | − | 0.972783i | \(-0.425566\pi\) | ||||
0.231717 | + | 0.972783i | \(0.425566\pi\) | |||||||
\(572\) | −6.83176 | + | 5.85249i | −0.285650 | + | 0.244705i | ||||
\(573\) | 5.63740 | 0.235506 | ||||||||
\(574\) | −0.0952997 | + | 0.248264i | −0.00397773 | + | 0.0103624i | ||||
\(575\) | −2.15938 | − | 2.39823i | −0.0900523 | − | 0.100013i | ||||
\(576\) | 6.18277 | + | 5.56699i | 0.257615 | + | 0.231958i | ||||
\(577\) | −9.21428 | − | 1.45940i | −0.383596 | − | 0.0607556i | −0.0383412 | − | 0.999265i | \(-0.512207\pi\) |
−0.345254 | + | 0.938509i | \(0.612207\pi\) | |||||||
\(578\) | 8.53847 | − | 3.27761i | 0.355153 | − | 0.136331i | ||||
\(579\) | 1.46801 | − | 0.0769349i | 0.0610082 | − | 0.00319731i | ||||
\(580\) | −0.147508 | + | 0.0751593i | −0.00612495 | + | 0.00312082i | ||||
\(581\) | −0.257268 | + | 2.44774i | −0.0106733 | + | 0.101549i | ||||
\(582\) | 4.32482 | − | 7.49081i | 0.179270 | − | 0.310504i | ||||
\(583\) | −42.4794 | − | 4.29493i | −1.75932 | − | 0.177878i | ||||
\(584\) | − | 24.6423i | − | 1.01970i | ||||||
\(585\) | 1.70486 | + | 2.23320i | 0.0704872 | + | 0.0923314i | ||||
\(586\) | −2.28504 | + | 7.03262i | −0.0943940 | + | 0.290515i | ||||
\(587\) | 12.0791 | + | 18.6001i | 0.498556 | + | 0.767709i | 0.994948 | − | 0.100389i | \(-0.0320088\pi\) |
−0.496392 | + | 0.868098i | \(0.665342\pi\) | |||||||
\(588\) | −0.548074 | − | 5.21458i | −0.0226022 | − | 0.215046i | ||||
\(589\) | 14.2323 | + | 6.33665i | 0.586434 | + | 0.261097i | ||||
\(590\) | 8.57817 | + | 4.37080i | 0.353158 | + | 0.179943i | ||||
\(591\) | −2.55383 | + | 3.93256i | −0.105051 | + | 0.161764i | ||||
\(592\) | −0.784607 | − | 0.968909i | −0.0322471 | − | 0.0398219i | ||||
\(593\) | 11.7967 | + | 11.7967i | 0.484431 | + | 0.484431i | 0.906543 | − | 0.422113i | \(-0.138711\pi\) |
−0.422113 | + | 0.906543i | \(0.638711\pi\) | |||||||
\(594\) | 2.62999 | + | 2.60926i | 0.107910 | + | 0.107059i | ||||
\(595\) | −0.586658 | − | 0.338707i | −0.0240506 | − | 0.0138856i | ||||
\(596\) | −0.646955 | − | 0.248343i | −0.0265003 | − | 0.0101725i | ||||
\(597\) | 10.6046 | + | 3.44564i | 0.434017 | + | 0.141021i | ||||
\(598\) | 0.0701547 | + | 2.95793i | 0.00286884 | + | 0.120959i | ||||
\(599\) | −4.98636 | + | 3.62280i | −0.203737 | + | 0.148024i | −0.684975 | − | 0.728566i | \(-0.740187\pi\) |
0.481238 | + | 0.876590i | \(0.340187\pi\) | |||||||
\(600\) | −10.4953 | − | 8.49892i | −0.428469 | − | 0.346967i | ||||
\(601\) | 3.32035 | − | 15.6210i | 0.135440 | − | 0.637194i | −0.857087 | − | 0.515171i | \(-0.827728\pi\) |
0.992527 | − | 0.122023i | \(-0.0389382\pi\) | |||||||
\(602\) | −1.95329 | + | 0.415184i | −0.0796100 | + | 0.0169216i | ||||
\(603\) | −0.783702 | − | 4.94810i | −0.0319148 | − | 0.201502i | ||||
\(604\) | −4.88158 | − | 1.30802i | −0.198629 | − | 0.0532224i | ||||
\(605\) | −5.34141 | + | 6.70385i | −0.217159 | + | 0.272550i | ||||
\(606\) | 12.0655 | − | 12.0655i | 0.490126 | − | 0.490126i | ||||
\(607\) | −27.7321 | − | 2.91476i | −1.12561 | − | 0.118306i | −0.476624 | − | 0.879107i | \(-0.658140\pi\) |
−0.648985 | + | 0.760801i | \(0.724806\pi\) | |||||||
\(608\) | 8.27406 | − | 7.44999i | 0.335557 | − | 0.302137i | ||||
\(609\) | 0.0410276 | − | 0.0266436i | 0.00166252 | − | 0.00107965i | ||||
\(610\) | −6.88810 | − | 9.48065i | −0.278891 | − | 0.383860i | ||||
\(611\) | 4.23833 | + | 0.796347i | 0.171464 | + | 0.0322167i | ||||
\(612\) | −3.59066 | + | 1.16667i | −0.145144 | + | 0.0471600i | ||||
\(613\) | −20.0616 | − | 1.05138i | −0.810280 | − | 0.0424650i | −0.357305 | − | 0.933988i | \(-0.616304\pi\) |
−0.452976 | + | 0.891523i | \(0.649638\pi\) | |||||||
\(614\) | 0.775629 | − | 0.345332i | 0.0313018 | − | 0.0139365i | ||||
\(615\) | 0.535489 | + | 0.927494i | 0.0215930 | + | 0.0374002i | ||||
\(616\) | 0.877039 | − | 1.53305i | 0.0353369 | − | 0.0617683i | ||||
\(617\) | −9.21847 | + | 34.4038i | −0.371122 | + | 1.38505i | 0.487808 | + | 0.872951i | \(0.337797\pi\) |
−0.858929 | + | 0.512094i | \(0.828870\pi\) | |||||||
\(618\) | −8.56999 | + | 6.93984i | −0.344736 | + | 0.279161i | ||||
\(619\) | 18.6966 | + | 36.6942i | 0.751480 | + | 1.47486i | 0.875828 | + | 0.482624i | \(0.160316\pi\) |
−0.124347 | + | 0.992239i | \(0.539684\pi\) | |||||||
\(620\) | 2.19173 | − | 2.43417i | 0.0880221 | − | 0.0977584i | ||||
\(621\) | −0.730620 | + | 0.0767913i | −0.0293188 | + | 0.00308153i | ||||
\(622\) | 3.57708 | − | 4.41732i | 0.143428 | − | 0.177118i | ||||
\(623\) | −0.0836173 | − | 0.257348i | −0.00335006 | − | 0.0103104i | ||||
\(624\) | 1.25096 | + | 6.84373i | 0.0500783 | + | 0.273969i | ||||
\(625\) | 13.1551 | + | 9.55772i | 0.526203 | + | 0.382309i | ||||
\(626\) | 8.79330 | + | 32.8170i | 0.351451 | + | 1.31163i | ||||
\(627\) | 7.16330 | − | 5.84780i | 0.286075 | − | 0.233538i | ||||
\(628\) | 0.142454 | − | 0.0822461i | 0.00568455 | − | 0.00328198i | ||||
\(629\) | 3.20286 | − | 0.507283i | 0.127706 | − | 0.0202267i | ||||
\(630\) | −0.126448 | − | 0.0821162i | −0.00503780 | − | 0.00327159i | ||||
\(631\) | −1.05345 | − | 20.1010i | −0.0419371 | − | 0.800208i | −0.935943 | − | 0.352152i | \(-0.885450\pi\) |
0.894006 | − | 0.448056i | \(-0.147883\pi\) | |||||||
\(632\) | −2.97735 | + | 18.7982i | −0.118433 | + | 0.747754i | ||||
\(633\) | −3.81000 | + | 8.55739i | −0.151434 | + | 0.340126i | ||||
\(634\) | −16.9112 | − | 3.59459i | −0.671630 | − | 0.142759i | ||||
\(635\) | 0.824980 | − | 15.7415i | 0.0327383 | − | 0.624684i | ||||
\(636\) | 5.69221 | − | 7.83466i | 0.225711 | − | 0.310664i | ||||
\(637\) | 13.1836 | − | 21.3950i | 0.522352 | − | 0.847700i | ||||
\(638\) | −1.04506 | − | 0.0506248i | −0.0413744 | − | 0.00200426i | ||||
\(639\) | 4.01649 | − | 1.07621i | 0.158890 | − | 0.0425744i | ||||
\(640\) | 0.414140 | + | 0.930173i | 0.0163703 | + | 0.0367683i | ||||
\(641\) | −3.57189 | − | 16.8044i | −0.141081 | − | 0.663734i | −0.990669 | − | 0.136287i | \(-0.956483\pi\) |
0.849588 | − | 0.527446i | \(-0.176850\pi\) | |||||||
\(642\) | −3.92093 | + | 7.69526i | −0.154747 | + | 0.303708i | ||||
\(643\) | −7.02956 | − | 18.3126i | −0.277219 | − | 0.722180i | −0.999531 | − | 0.0306131i | \(-0.990254\pi\) |
0.722312 | − | 0.691567i | \(-0.243079\pi\) | |||||||
\(644\) | 0.0343059 | + | 0.0893700i | 0.00135184 | + | 0.00352167i | ||||
\(645\) | −3.65112 | + | 7.16573i | −0.143763 | + | 0.282150i | ||||
\(646\) | −3.24972 | − | 15.2887i | −0.127859 | − | 0.601527i | ||||
\(647\) | 9.12124 | + | 20.4866i | 0.358593 | + | 0.805413i | 0.999292 | + | 0.0376208i | \(0.0119779\pi\) |
−0.640699 | + | 0.767792i | \(0.721355\pi\) | |||||||
\(648\) | −2.96958 | + | 0.795697i | −0.116656 | + | 0.0312579i | ||||
\(649\) | −20.1013 | − | 30.6868i | −0.789044 | − | 1.20456i | ||||
\(650\) | −4.08763 | − | 17.2131i | −0.160330 | − | 0.675155i | ||||
\(651\) | −0.568911 | + | 0.783039i | −0.0222974 | + | 0.0306897i | ||||
\(652\) | −0.405362 | + | 7.73476i | −0.0158752 | + | 0.302917i | ||||
\(653\) | 20.3359 | + | 4.32252i | 0.795804 | + | 0.169153i | 0.587834 | − | 0.808982i | \(-0.299981\pi\) |
0.207970 | + | 0.978135i | \(0.433314\pi\) | |||||||
\(654\) | 0.815209 | − | 1.83099i | 0.0318772 | − | 0.0715973i | ||||
\(655\) | −0.272657 | + | 1.72149i | −0.0106536 | + | 0.0672641i | ||||
\(656\) | 0.138794 | + | 2.64834i | 0.00541898 | + | 0.103400i | ||||
\(657\) | 6.72235 | + | 4.36554i | 0.262264 | + | 0.170316i | ||||
\(658\) | −0.228574 | + | 0.0362026i | −0.00891075 | + | 0.00141132i | ||||
\(659\) | 9.76966 | − | 5.64052i | 0.380572 | − | 0.219723i | −0.297495 | − | 0.954723i | \(-0.596151\pi\) |
0.678067 | + | 0.735000i | \(0.262818\pi\) | |||||||
\(660\) | −0.703908 | − | 1.81228i | −0.0273996 | − | 0.0705430i | ||||
\(661\) | −11.8740 | − | 44.3144i | −0.461845 | − | 1.72363i | −0.667143 | − | 0.744930i | \(-0.732483\pi\) |
0.205298 | − | 0.978700i | \(-0.434184\pi\) | |||||||
\(662\) | 21.4526 | + | 15.5862i | 0.833780 | + | 0.605776i | ||||
\(663\) | −17.0425 | − | 6.08241i | −0.661875 | − | 0.236221i | ||||
\(664\) | 13.4988 | + | 41.5450i | 0.523855 | + | 1.61226i | ||||
\(665\) | −0.236833 | + | 0.292464i | −0.00918399 | + | 0.0113413i | ||||
\(666\) | 0.717790 | − | 0.0754428i | 0.0278138 | − | 0.00292335i | ||||
\(667\) | 0.138830 | − | 0.154186i | 0.00537551 | − | 0.00597011i | ||||
\(668\) | 2.51686 | + | 4.93961i | 0.0973801 | + | 0.191119i | ||||
\(669\) | −10.6001 | + | 8.58379i | −0.409823 | + | 0.331868i | ||||
\(670\) | 1.12861 | − | 4.21203i | 0.0436021 | − | 0.162725i | ||||
\(671\) | 4.84310 | + | 44.3892i | 0.186966 | + | 1.71363i | ||||
\(672\) | 0.345855 | + | 0.599039i | 0.0133416 | + | 0.0231084i | ||||
\(673\) | 7.50135 | − | 3.33982i | 0.289156 | − | 0.128740i | −0.257033 | − | 0.966403i | \(-0.582745\pi\) |
0.546189 | + | 0.837662i | \(0.316078\pi\) | |||||||
\(674\) | 10.6851 | + | 0.559985i | 0.411576 | + | 0.0215698i | ||||
\(675\) | 4.17779 | − | 1.35745i | 0.160803 | − | 0.0522482i | ||||
\(676\) | 4.48273 | − | 8.69157i | 0.172413 | − | 0.334291i | ||||
\(677\) | 20.4251 | + | 28.1128i | 0.785002 | + | 1.08046i | 0.994713 | + | 0.102699i | \(0.0327477\pi\) |
−0.209711 | + | 0.977763i | \(0.567252\pi\) | |||||||
\(678\) | −5.68686 | + | 3.69309i | −0.218403 | + | 0.141832i | ||||
\(679\) | 0.996784 | − | 0.897509i | 0.0382531 | − | 0.0344432i | ||||
\(680\) | −11.9572 | − | 1.25675i | −0.458538 | − | 0.0481943i | ||||
\(681\) | 16.4309 | − | 16.4309i | 0.629634 | − | 0.629634i | ||||
\(682\) | 19.6624 | − | 6.47481i | 0.752913 | − | 0.247933i | ||||
\(683\) | −36.7005 | − | 9.83388i | −1.40431 | − | 0.376283i | −0.524417 | − | 0.851461i | \(-0.675717\pi\) |
−0.879889 | + | 0.475179i | \(0.842383\pi\) | |||||||
\(684\) | 0.328107 | + | 2.07159i | 0.0125455 | + | 0.0792091i | ||||
\(685\) | 10.4076 | − | 2.21220i | 0.397653 | − | 0.0845237i | ||||
\(686\) | −0.561987 | + | 2.64394i | −0.0214568 | + | 0.100946i | ||||
\(687\) | 16.6786 | + | 13.5060i | 0.636327 | + | 0.515288i | ||||
\(688\) | −16.1111 | + | 11.7054i | −0.614231 | + | 0.446265i | ||||
\(689\) | 44.5364 | − | 13.0728i | 1.69670 | − | 0.498036i | ||||
\(690\) | −0.608154 | − | 0.197601i | −0.0231520 | − | 0.00752255i | ||||
\(691\) | 8.10632 | + | 3.11172i | 0.308379 | + | 0.118376i | 0.507636 | − | 0.861572i | \(-0.330520\pi\) |
−0.199257 | + | 0.979947i | \(0.563853\pi\) | |||||||
\(692\) | 11.0852 | + | 6.40006i | 0.421397 | + | 0.243294i | ||||
\(693\) | 0.262838 | + | 0.510843i | 0.00998440 | + | 0.0194053i | ||||
\(694\) | 11.0785 | + | 11.0785i | 0.420536 | + | 0.420536i | ||||
\(695\) | 1.30554 | + | 1.61221i | 0.0495221 | + | 0.0611547i | ||||
\(696\) | 0.472884 | − | 0.728177i | 0.0179246 | − | 0.0276015i | ||||
\(697\) | −6.14593 | − | 3.13151i | −0.232794 | − | 0.118614i | ||||
\(698\) | 20.1189 | + | 8.95751i | 0.761512 | + | 0.339047i | ||||
\(699\) | −3.02616 | − | 28.7920i | −0.114460 | − | 1.08901i | ||||
\(700\) | −0.311754 | − | 0.480059i | −0.0117832 | − | 0.0181445i | ||||
\(701\) | 1.89781 | − | 5.84086i | 0.0716793 | − | 0.220606i | −0.908799 | − | 0.417235i | \(-0.862999\pi\) |
0.980478 | + | 0.196629i | \(0.0629993\pi\) | |||||||
\(702\) | −3.71708 | − | 1.55042i | −0.140292 | − | 0.0585169i | ||||
\(703\) | − | 1.80150i | − | 0.0679447i | ||||||
\(704\) | 2.77572 | − | 27.4535i | 0.104614 | − | 1.03469i | ||||
\(705\) | −0.466010 | + | 0.807154i | −0.0175510 | + | 0.0303992i | ||||
\(706\) | 0.166644 | − | 1.58551i | 0.00627172 | − | 0.0596714i | ||||
\(707\) | 2.35760 | − | 1.20126i | 0.0886665 | − | 0.0451779i | ||||
\(708\) | 8.30923 | − | 0.435468i | 0.312280 | − | 0.0163659i | ||||
\(709\) | 20.4537 | − | 7.85143i | 0.768154 | − | 0.294867i | 0.0574411 | − | 0.998349i | \(-0.481706\pi\) |
0.710713 | + | 0.703482i | \(0.248373\pi\) | |||||||
\(710\) | 3.57480 | + | 0.566193i | 0.134160 | + | 0.0212489i | ||||
\(711\) | −4.60065 | − | 4.14245i | −0.172538 | − | 0.155354i | ||||
\(712\) | −3.21356 | − | 3.56902i | −0.120433 | − | 0.133755i | ||||
\(713\) | −1.47110 | + | 3.83234i | −0.0550931 | + | 0.143522i | ||||
\(714\) | 0.971060 | 0.0363410 | ||||||||
\(715\) | 2.63324 | − | 8.93851i | 0.0984775 | − | 0.334281i | ||||
\(716\) | 18.5948 | 0.694921 | ||||||||
\(717\) | 4.65610 | − | 12.1296i | 0.173885 | − | 0.452987i | ||||
\(718\) | −7.84374 | − | 8.71136i | −0.292726 | − | 0.325105i | ||||
\(719\) | −7.84375 | − | 7.06255i | −0.292523 | − | 0.263389i | 0.509782 | − | 0.860304i | \(-0.329726\pi\) |
−0.802304 | + | 0.596915i | \(0.796393\pi\) | |||||||
\(720\) | −1.48507 | − | 0.235212i | −0.0553453 | − | 0.00876583i | ||||
\(721\) | −1.59646 | + | 0.612825i | −0.0594554 | + | 0.0228228i | ||||
\(722\) | 12.5229 | − | 0.656299i | 0.466055 | − | 0.0244249i | ||||
\(723\) | 25.6981 | − | 13.0939i | 0.955724 | − | 0.486966i | ||||
\(724\) | 0.411734 | − | 3.91739i | 0.0153020 | − | 0.145588i | ||||
\(725\) | −0.620305 | + | 1.07440i | −0.0230375 | + | 0.0399022i | ||||
\(726\) | 1.82607 | − | 12.1508i | 0.0677718 | − | 0.450957i | ||||
\(727\) | 10.3246i | 0.382916i | 0.981501 | + | 0.191458i | \(0.0613217\pi\) | ||||
−0.981501 | + | 0.191458i | \(0.938678\pi\) | |||||||
\(728\) | −0.255312 | + | 1.90300i | −0.00946251 | + | 0.0705300i | ||||
\(729\) | 0.309017 | − | 0.951057i | 0.0114451 | − | 0.0352243i | ||||
\(730\) | 3.79986 | + | 5.85128i | 0.140639 | + | 0.216565i | ||||
\(731\) | −5.41427 | − | 51.5134i | −0.200254 | − | 1.90529i | ||||
\(732\) | −9.25237 | − | 4.11942i | −0.341978 | − | 0.152258i | ||||
\(733\) | 3.93646 | + | 2.00572i | 0.145396 | + | 0.0740831i | 0.525175 | − | 0.850994i | \(-0.324000\pi\) |
−0.379779 | + | 0.925077i | \(0.624000\pi\) | |||||||
\(734\) | −2.45005 | + | 3.77275i | −0.0904331 | + | 0.139255i | ||||
\(735\) | 3.41801 | + | 4.22089i | 0.126075 | + | 0.155690i | ||||
\(736\) | 2.07442 | + | 2.07442i | 0.0764641 | + | 0.0764641i | ||||
\(737\) | −11.7024 | + | 11.7954i | −0.431063 | + | 0.434487i | ||||
\(738\) | −1.32954 | − | 0.767613i | −0.0489412 | − | 0.0282562i | ||||
\(739\) | 10.9709 | + | 4.21134i | 0.403571 | + | 0.154916i | 0.551682 | − | 0.834054i | \(-0.313986\pi\) |
−0.148111 | + | 0.988971i | \(0.547319\pi\) | |||||||
\(740\) | −0.360222 | − | 0.117043i | −0.0132420 | − | 0.00430259i | ||||
\(741\) | −4.81851 | + | 8.82263i | −0.177013 | + | 0.324107i | ||||
\(742\) | −2.01511 | + | 1.46406i | −0.0739770 | + | 0.0537474i | ||||
\(743\) | −26.9237 | − | 21.8024i | −0.987733 | − | 0.799851i | −0.00796144 | − | 0.999968i | \(-0.502534\pi\) |
−0.979772 | + | 0.200118i | \(0.935868\pi\) | |||||||
\(744\) | −3.57162 | + | 16.8032i | −0.130942 | + | 0.616034i | ||||
\(745\) | 0.702139 | − | 0.149244i | 0.0257244 | − | 0.00546789i | ||||
\(746\) | 0.682272 | + | 4.30769i | 0.0249797 | + | 0.157716i | ||||
\(747\) | −13.7248 | − | 3.67754i | −0.502163 | − | 0.134554i | ||||
\(748\) | 10.1593 | + | 7.31995i | 0.371461 | + | 0.267644i | ||||
\(749\) | −0.947015 | + | 0.947015i | −0.0346032 | + | 0.0346032i | ||||
\(750\) | 8.13090 | + | 0.854592i | 0.296899 | + | 0.0312053i | ||||
\(751\) | −33.6384 | + | 30.2882i | −1.22748 | + | 1.10523i | −0.236445 | + | 0.971645i | \(0.575982\pi\) |
−0.991037 | + | 0.133586i | \(0.957351\pi\) | |||||||
\(752\) | −1.93556 | + | 1.25697i | −0.0705825 | + | 0.0458368i | ||||
\(753\) | 0.672045 | + | 0.924990i | 0.0244907 | + | 0.0337085i | ||||
\(754\) | 1.07313 | − | 0.377038i | 0.0390810 | − | 0.0137309i | ||||
\(755\) | 4.97875 | − | 1.61769i | 0.181195 | − | 0.0588739i | ||||
\(756\) | −0.130127 | − | 0.00681966i | −0.00473267 | − | 0.000248029i | ||||
\(757\) | −31.1853 | + | 13.8846i | −1.13345 | + | 0.504644i | −0.885736 | − | 0.464189i | \(-0.846346\pi\) |
−0.247714 | + | 0.968833i | \(0.579679\pi\) | |||||||
\(758\) | 11.4199 | + | 19.7798i | 0.414788 | + | 0.718434i | ||||
\(759\) | 1.63751 | + | 1.80424i | 0.0594380 | + | 0.0654897i | ||||
\(760\) | −1.72873 | + | 6.45172i | −0.0627077 | + | 0.234028i | ||||
\(761\) | −0.747630 | + | 0.605419i | −0.0271016 | + | 0.0219464i | −0.642775 | − | 0.766055i | \(-0.722217\pi\) |
0.615674 | + | 0.788001i | \(0.288884\pi\) | |||||||
\(762\) | 10.2584 | + | 20.1333i | 0.371624 | + | 0.729354i | ||||
\(763\) | 0.207968 | − | 0.230972i | 0.00752894 | − | 0.00836173i | ||||
\(764\) | 4.21760 | − | 0.443288i | 0.152587 | − | 0.0160376i | ||||
\(765\) | 2.46114 | − | 3.03925i | 0.0889826 | − | 0.109884i | ||||
\(766\) | 9.48980 | + | 29.2066i | 0.342880 | + | 1.05528i | ||||
\(767\) | 32.8104 | + | 22.6693i | 1.18471 | + | 0.818542i | ||||
\(768\) | 12.2808 | + | 8.92252i | 0.443145 | + | 0.321964i | ||||
\(769\) | −1.50344 | − | 5.61090i | −0.0542153 | − | 0.202334i | 0.933506 | − | 0.358563i | \(-0.116733\pi\) |
−0.987721 | + | 0.156228i | \(0.950066\pi\) | |||||||
\(770\) | 0.0281460 | + | 0.499261i | 0.00101431 | + | 0.0179921i | ||||
\(771\) | −11.4979 | + | 6.63833i | −0.414088 | + | 0.239074i | ||||
\(772\) | 1.09223 | − | 0.172993i | 0.0393103 | − | 0.00622615i | ||||
\(773\) | −40.3985 | − | 26.2351i | −1.45303 | − | 0.943610i | −0.998604 | − | 0.0528262i | \(-0.983177\pi\) |
−0.454428 | − | 0.890784i | \(-0.650156\pi\) | |||||||
\(774\) | −0.603353 | − | 11.5127i | −0.0216871 | − | 0.413814i | ||||
\(775\) | 3.83980 | − | 24.2435i | 0.137930 | − | 0.870853i | ||||
\(776\) | 9.68283 | − | 21.7480i | 0.347593 | − | 0.780707i | ||||
\(777\) | 0.109476 | + | 0.0232697i | 0.00392741 | + | 0.000834797i | ||||
\(778\) | 0.163030 | − | 3.11079i | 0.00584490 | − | 0.111527i | ||||
\(779\) | −2.25238 | + | 3.10013i | −0.0806998 | + | 0.111074i | ||||
\(780\) | 1.45109 | + | 1.53670i | 0.0519573 | + | 0.0550227i | ||||
\(781\) | −10.7519 | − | 8.63656i | −0.384735 | − | 0.309040i | ||||
\(782\) | 3.97811 | − | 1.06593i | 0.142257 | − | 0.0381176i | ||||
\(783\) | 0.114870 | + | 0.258003i | 0.00410513 | + | 0.00922027i | ||||
\(784\) | 2.79621 | + | 13.1551i | 0.0998646 | + | 0.469826i | ||||
\(785\) | −0.0773551 | + | 0.151818i | −0.00276092 | + | 0.00541861i | ||||
\(786\) | −0.895375 | − | 2.33253i | −0.0319370 | − | 0.0831987i | ||||
\(787\) | −9.86284 | − | 25.6936i | −0.351572 | − | 0.915877i | −0.989337 | − | 0.145645i | \(-0.953474\pi\) |
0.637765 | − | 0.770231i | \(-0.279859\pi\) | |||||||
\(788\) | −1.60141 | + | 3.14295i | −0.0570479 | + | 0.111963i | ||||
\(789\) | 4.21447 | + | 19.8275i | 0.150039 | + | 0.705879i | ||||
\(790\) | −2.19174 | − | 4.92273i | −0.0779786 | − | 0.175143i | ||||
\(791\) | −1.01567 | + | 0.272149i | −0.0361132 | + | 0.00967651i | ||||
\(792\) | 7.94943 | + | 6.38542i | 0.282471 | + | 0.226896i | ||||
\(793\) | −23.0572 | − | 42.7170i | −0.818785 | − | 1.51693i | ||||
\(794\) | 17.2071 | − | 23.6835i | 0.610656 | − | 0.840496i | ||||
\(795\) | −0.525000 | + | 10.0176i | −0.0186198 | + | 0.355288i | ||||
\(796\) | 8.20472 | + | 1.74397i | 0.290809 | + | 0.0618133i | ||||
\(797\) | −11.1069 | + | 24.9465i | −0.393426 | + | 0.883650i | 0.602884 | + | 0.797829i | \(0.294018\pi\) |
−0.996311 | + | 0.0858215i | \(0.972649\pi\) | |||||||
\(798\) | 0.0843907 | − | 0.532822i | 0.00298740 | − | 0.0188617i | ||||
\(799\) | −0.314161 | − | 5.99454i | −0.0111142 | − | 0.212072i | ||||
\(800\) | −14.7118 | − | 9.55396i | −0.520141 | − | 0.337783i | ||||
\(801\) | 1.54292 | − | 0.244375i | 0.0545164 | − | 0.00863455i | ||||
\(802\) | 20.5279 | − | 11.8518i | 0.724865 | − | 0.418501i | ||||
\(803\) | −1.49632 | − | 26.5422i | −0.0528041 | − | 0.936654i | ||||
\(804\) | −0.975409 | − | 3.64028i | −0.0344000 | − | 0.128383i | ||||
\(805\) | −0.0802221 | − | 0.0582848i | −0.00282746 | − | 0.00205427i | ||||
\(806\) | −17.1485 | + | 14.5732i | −0.604030 | + | 0.513319i | ||||
\(807\) | −9.16525 | − | 28.2077i | −0.322632 | − | 0.992960i | ||||
\(808\) | 29.5544 | − | 36.4966i | 1.03972 | − | 1.28395i | ||||
\(809\) | −32.6703 | + | 3.43379i | −1.14863 | + | 0.120725i | −0.659651 | − | 0.751572i | \(-0.729296\pi\) |
−0.488975 | + | 0.872298i | \(0.662629\pi\) | |||||||
\(810\) | 0.582426 | − | 0.646850i | 0.0204644 | − | 0.0227280i | ||||
\(811\) | −23.9214 | − | 46.9484i | −0.839994 | − | 1.64858i | −0.758284 | − | 0.651924i | \(-0.773962\pi\) |
−0.0817097 | − | 0.996656i | \(-0.526038\pi\) | |||||||
\(812\) | 0.0285996 | − | 0.0231595i | 0.00100365 | − | 0.000812738i | ||||
\(813\) | −6.63722 | + | 24.7704i | −0.232777 | + | 0.868737i | ||||
\(814\) | −1.60876 | − | 1.77256i | −0.0563869 | − | 0.0621280i | ||||
\(815\) | −4.01152 | − | 6.94816i | −0.140518 | − | 0.243384i | ||||
\(816\) | 8.84674 | − | 3.93882i | 0.309698 | − | 0.137886i | ||||
\(817\) | −28.7360 | − | 1.50599i | −1.00534 | − | 0.0526879i | ||||
\(818\) | 24.0070 | − | 7.80035i | 0.839386 | − | 0.272733i | ||||
\(819\) | −0.473904 | − | 0.406778i | −0.0165595 | − | 0.0142140i | ||||
\(820\) | 0.473556 | + | 0.651794i | 0.0165373 | + | 0.0227616i | ||||
\(821\) | 14.7568 | − | 9.58315i | 0.515014 | − | 0.334454i | −0.260824 | − | 0.965386i | \(-0.583994\pi\) |
0.775838 | + | 0.630932i | \(0.217327\pi\) | |||||||
\(822\) | −11.3347 | + | 10.2058i | −0.395343 | + | 0.355969i | ||||
\(823\) | −36.9960 | − | 3.88843i | −1.28960 | − | 0.135542i | −0.565218 | − | 0.824942i | \(-0.691208\pi\) |
−0.724381 | + | 0.689400i | \(0.757874\pi\) | |||||||
\(824\) | −21.4612 | + | 21.4612i | −0.747636 | + | 0.747636i | ||||
\(825\) | −11.8205 | − | 8.51689i | −0.411539 | − | 0.296520i | ||||
\(826\) | −2.06718 | − | 0.553900i | −0.0719265 | − | 0.0192726i | ||||
\(827\) | −4.53480 | − | 28.6316i | −0.157690 | − | 0.995619i | −0.931907 | − | 0.362698i | \(-0.881856\pi\) |
0.774216 | − | 0.632921i | \(-0.218144\pi\) | |||||||
\(828\) | −0.540573 | + | 0.114902i | −0.0187862 | + | 0.00399313i | ||||
\(829\) | −9.16694 | + | 43.1271i | −0.318381 | + | 1.49786i | 0.469994 | + | 0.882670i | \(0.344256\pi\) |
−0.788375 | + | 0.615195i | \(0.789077\pi\) | |||||||
\(830\) | −9.61155 | − | 7.78328i | −0.333622 | − | 0.270162i | ||||
\(831\) | 2.46313 | − | 1.78957i | 0.0854451 | − | 0.0620795i | ||||
\(832\) | 8.44869 | + | 28.7829i | 0.292906 | + | 0.997866i | ||||
\(833\) | −33.2686 | − | 10.8096i | −1.15269 | − | 0.374531i | ||||
\(834\) | −2.77628 | − | 1.06571i | −0.0961347 | − | 0.0369027i | ||||
\(835\) | −4.97324 | − | 2.87130i | −0.172106 | − | 0.0993654i | ||||
\(836\) | 4.89937 | − | 4.93828i | 0.169448 | − | 0.170794i | ||||
\(837\) | −3.95112 | − | 3.95112i | −0.136571 | − | 0.136571i | ||||
\(838\) | 22.8983 | + | 28.2771i | 0.791010 | + | 0.976816i | ||||
\(839\) | 6.11747 | − | 9.42008i | 0.211199 | − | 0.325217i | −0.717156 | − | 0.696912i | \(-0.754557\pi\) |
0.928355 | + | 0.371695i | \(0.121223\pi\) | |||||||
\(840\) | −0.369736 | − | 0.188390i | −0.0127571 | − | 0.00650007i | ||||
\(841\) | 26.4200 | + | 11.7629i | 0.911033 | + | 0.405618i | ||||
\(842\) | −3.68349 | − | 35.0461i | −0.126942 | − | 1.20777i | ||||
\(843\) | 10.7610 | + | 16.5705i | 0.370630 | + | 0.570720i | ||||
\(844\) | −2.17754 | + | 6.70178i | −0.0749540 | + | 0.230685i | ||||
\(845\) | 1.00916 | + | 10.0797i | 0.0347162 | + | 0.346751i | ||||
\(846\) | − | 1.33603i | − | 0.0459338i | ||||||
\(847\) | 0.851568 | − | 1.70450i | 0.0292602 | − | 0.0585674i | ||||
\(848\) | −12.4199 | + | 21.5119i | −0.426501 | + | 0.738722i | ||||
\(849\) | −1.70705 | + | 16.2415i | −0.0585857 | + | 0.557406i | ||||
\(850\) | −21.9421 | + | 11.1800i | −0.752606 | + | 0.383472i | ||||
\(851\) | 0.474028 | − | 0.0248428i | 0.0162495 | − | 0.000851599i | ||||
\(852\) | 2.92029 | − | 1.12100i | 0.100048 | − | 0.0384047i | ||||
\(853\) | 34.8315 | + | 5.51677i | 1.19261 | + | 0.188891i | 0.721011 | − | 0.692923i | \(-0.243678\pi\) |
0.471597 | + | 0.881814i | \(0.343678\pi\) | |||||||
\(854\) | 1.93587 | + | 1.74306i | 0.0662440 | + | 0.0596463i | ||||
\(855\) | −1.45375 | − | 1.61456i | −0.0497174 | − | 0.0552167i | ||||
\(856\) | −8.51848 | + | 22.1914i | −0.291156 | + | 0.758487i | ||||
\(857\) | −1.15788 | −0.0395523 | −0.0197761 | − | 0.999804i | \(-0.506295\pi\) | ||||
−0.0197761 | + | 0.999804i | \(0.506295\pi\) | |||||||
\(858\) | 3.13761 | + | 12.9839i | 0.107116 | + | 0.443262i | ||||
\(859\) | −14.7558 | −0.503462 | −0.251731 | − | 0.967797i | \(-0.581000\pi\) | ||||
−0.251731 | + | 0.967797i | \(0.581000\pi\) | |||||||
\(860\) | −2.16811 | + | 5.64812i | −0.0739319 | + | 0.192599i | ||||
\(861\) | −0.159299 | − | 0.176919i | −0.00542889 | − | 0.00602939i | ||||
\(862\) | −14.5305 | − | 13.0833i | −0.494912 | − | 0.445620i | ||||
\(863\) | −6.83679 | − | 1.08284i | −0.232727 | − | 0.0368603i | 0.0389815 | − | 0.999240i | \(-0.487589\pi\) |
−0.271709 | + | 0.962380i | \(0.587589\pi\) | |||||||
\(864\) | −3.72808 | + | 1.43108i | −0.126832 | + | 0.0486862i | ||||
\(865\) | −13.2408 | + | 0.693923i | −0.450202 | + | 0.0235941i | ||||
\(866\) | −33.3268 | + | 16.9809i | −1.13249 | + | 0.577033i | ||||
\(867\) | −0.855858 | + | 8.14295i | −0.0290665 | + | 0.276549i | ||||
\(868\) | −0.364056 | + | 0.630563i | −0.0123569 | + | 0.0214027i | ||||
\(869\) | −2.06544 | + | 20.4284i | −0.0700652 | + | 0.692985i | ||||
\(870\) | 0.245824i | 0.00833421i | ||||||||
\(871\) | 6.95356 | − | 16.6709i | 0.235612 | − | 0.564873i | ||||
\(872\) | 1.70462 | − | 5.24629i | 0.0577258 | − | 0.177662i | ||||
\(873\) | 4.21741 | + | 6.49425i | 0.142738 | + | 0.219797i | ||||
\(874\) | −0.239157 | − | 2.27543i | −0.00808962 | − | 0.0769676i | ||||
\(875\) | 1.15820 | + | 0.515665i | 0.0391544 | + | 0.0174326i | ||||
\(876\) | 5.37258 | + | 2.73746i | 0.181523 | + | 0.0924904i | ||||
\(877\) | 1.10592 | − | 1.70296i | 0.0373441 | − | 0.0575049i | −0.819506 | − | 0.573071i | \(-0.805752\pi\) |
0.856850 | + | 0.515566i | \(0.172418\pi\) | |||||||
\(878\) | 8.80275 | + | 10.8705i | 0.297079 | + | 0.366861i | ||||
\(879\) | −4.68096 | − | 4.68096i | −0.157885 | − | 0.157885i | ||||
\(880\) | 2.28153 | + | 4.43430i | 0.0769102 | + | 0.149480i | ||||
\(881\) | −16.0879 | − | 9.28834i | −0.542014 | − | 0.312932i | 0.203881 | − | 0.978996i | \(-0.434645\pi\) |
−0.745895 | + | 0.666064i | \(0.767978\pi\) | |||||||
\(882\) | −7.26850 | − | 2.79012i | −0.244743 | − | 0.0939481i | ||||
\(883\) | −30.6664 | − | 9.96412i | −1.03201 | − | 0.335319i | −0.256424 | − | 0.966564i | \(-0.582544\pi\) |
−0.775583 | + | 0.631245i | \(0.782544\pi\) | |||||||
\(884\) | −13.2285 | − | 3.21043i | −0.444924 | − | 0.107978i | ||||
\(885\) | −6.97286 | + | 5.06608i | −0.234390 | + | 0.170294i | ||||
\(886\) | −22.0116 | − | 17.8247i | −0.739496 | − | 0.598832i | ||||
\(887\) | 3.02978 | − | 14.2540i | 0.101730 | − | 0.478602i | −0.897559 | − | 0.440895i | \(-0.854661\pi\) |
0.999289 | − | 0.0377074i | \(-0.0120055\pi\) | |||||||
\(888\) | 1.94302 | − | 0.413002i | 0.0652036 | − | 0.0138595i | ||||
\(889\) | 0.548147 | + | 3.46086i | 0.0183842 | + | 0.116074i | ||||
\(890\) | 1.31340 | + | 0.351925i | 0.0440253 | + | 0.0117965i | ||||
\(891\) | −3.15022 | + | 1.03736i | −0.105536 | + | 0.0347530i | ||||
\(892\) | −7.25545 | + | 7.25545i | −0.242931 | + | 0.242931i | ||||
\(893\) | −3.31651 | − | 0.348580i | −0.110983 | − | 0.0116648i | ||||
\(894\) | −0.764688 | + | 0.688528i | −0.0255750 | + | 0.0230278i | ||||
\(895\) | −16.1540 | + | 10.4905i | −0.539969 | + | 0.350660i | ||||
\(896\) | −0.133037 | − | 0.183110i | −0.00444446 | − | 0.00611728i | ||||
\(897\) | −2.38795 | − | 1.14623i | −0.0797312 | − | 0.0382716i | ||||
\(898\) | 0.601869 | − | 0.195559i | 0.0200846 | − | 0.00652590i | ||||
\(899\) | 1.57592 | + | 0.0825905i | 0.0525599 | + | 0.00275455i | ||||
\(900\) | 3.01886 | − | 1.34408i | 0.100629 | − | 0.0448028i | ||||
\(901\) | −32.3039 | − | 55.9520i | −1.07620 | − | 1.86403i | ||||
\(902\) | 0.552262 | + | 5.06173i | 0.0183883 | + | 0.168537i | ||||
\(903\) | 0.462697 | − | 1.72681i | 0.0153976 | − | 0.0574646i | ||||
\(904\) | −14.5036 | + | 11.7447i | −0.482381 | + | 0.390624i | ||||
\(905\) | 1.85236 | + | 3.63546i | 0.0615745 | + | 0.120847i | ||||
\(906\) | −5.02130 | + | 5.57672i | −0.166822 | + | 0.185274i | ||||
\(907\) | −16.2503 | + | 1.70798i | −0.539584 | + | 0.0567125i | −0.370401 | − | 0.928872i | \(-0.620780\pi\) |
−0.169183 | + | 0.985585i | \(0.554113\pi\) | |||||||
\(908\) | 11.0007 | − | 13.5847i | 0.365071 | − | 0.450826i | ||||
\(909\) | 4.72042 | + | 14.5280i | 0.156566 | + | 0.481862i | ||||
\(910\) | −0.232821 | − | 0.491235i | −0.00771795 | − | 0.0162843i | ||||
\(911\) | 0.577580 | + | 0.419637i | 0.0191361 | + | 0.0139032i | 0.597312 | − | 0.802009i | \(-0.296235\pi\) |
−0.578176 | + | 0.815912i | \(0.696235\pi\) | |||||||
\(912\) | −1.39240 | − | 5.19652i | −0.0461071 | − | 0.172074i | ||||
\(913\) | 17.0622 | + | 43.9284i | 0.564677 | + | 1.45382i | ||||
\(914\) | −31.6879 | + | 18.2950i | −1.04814 | + | 0.605145i | ||||
\(915\) | 10.3619 | − | 1.64116i | 0.342554 | − | 0.0542552i | ||||
\(916\) | 13.5400 | + | 8.79300i | 0.447375 | + | 0.290529i | ||||
\(917\) | −0.0202771 | − | 0.386910i | −0.000669608 | − | 0.0127769i | ||||
\(918\) | −0.876977 | + | 5.53702i | −0.0289446 | + | 0.182749i | ||||
\(919\) | −20.2159 | + | 45.4056i | −0.666860 | + | 1.49779i | 0.189752 | + | 0.981832i | \(0.439231\pi\) |
−0.856613 | + | 0.515960i | \(0.827435\pi\) | |||||||
\(920\) | −1.72148 | − | 0.365912i | −0.0567555 | − | 0.0120638i | ||||
\(921\) | −0.0397798 | + | 0.759045i | −0.00131079 | + | 0.0250114i | ||||
\(922\) | −9.46866 | + | 13.0325i | −0.311834 | + | 0.429202i | ||||
\(923\) | 14.3646 | + | 4.29355i | 0.472815 | + | 0.141324i | ||||
\(924\) | 0.236811 | + | 0.361518i | 0.00779051 | + | 0.0118931i | ||||
\(925\) | −2.74162 | + | 0.734614i | −0.0901438 | + | 0.0241540i | ||||
\(926\) | 5.96181 | + | 13.3904i | 0.195917 | + | 0.440037i | ||||
\(927\) | −2.05256 | − | 9.65654i | −0.0674149 | − | 0.317162i | ||||
\(928\) | 0.512006 | − | 1.00487i | 0.0168074 | − | 0.0329864i | ||||
\(929\) | 10.8782 | + | 28.3388i | 0.356904 | + | 0.929766i | 0.988054 | + | 0.154105i | \(0.0492495\pi\) |
−0.631151 | + | 0.775660i | \(0.717417\pi\) | |||||||
\(930\) | −1.74299 | − | 4.54064i | −0.0571548 | − | 0.148893i | ||||
\(931\) | −8.82247 | + | 17.3151i | −0.289145 | + | 0.567479i | ||||
\(932\) | −4.52802 | − | 21.3027i | −0.148320 | − | 0.697792i | ||||
\(933\) | 2.06971 | + | 4.64864i | 0.0677592 | + | 0.152190i | ||||
\(934\) | 10.3535 | − | 2.77421i | 0.338777 | − | 0.0907750i | ||||
\(935\) | −12.9554 | − | 0.627585i | −0.423688 | − | 0.0205242i | ||||
\(936\) | −10.6204 | − | 3.17443i | −0.347139 | − | 0.103759i | ||||
\(937\) | 19.5960 | − | 26.9716i | 0.640174 | − | 0.881123i | −0.358451 | − | 0.933548i | \(-0.616695\pi\) |
0.998625 | + | 0.0524252i | \(0.0166951\pi\) | |||||||
\(938\) | −0.0507305 | + | 0.967996i | −0.00165641 | + | 0.0316062i | ||||
\(939\) | −29.7508 | − | 6.32373i | −0.970882 | − | 0.206367i | ||||
\(940\) | −0.285175 | + | 0.640513i | −0.00930138 | + | 0.0208912i | ||||
\(941\) | 2.14993 | − | 13.5741i | 0.0700856 | − | 0.442503i | −0.927545 | − | 0.373711i | \(-0.878085\pi\) |
0.997631 | − | 0.0687926i | \(-0.0219147\pi\) | |||||||
\(942\) | −0.0127830 | − | 0.243915i | −0.000416494 | − | 0.00794717i | ||||
\(943\) | −0.846799 | − | 0.549918i | −0.0275756 | − | 0.0179078i | ||||
\(944\) | −21.0796 | + | 3.33868i | −0.686082 | + | 0.108665i | ||||
\(945\) | 0.116893 | − | 0.0674884i | 0.00380254 | − | 0.00219540i | ||||
\(946\) | −29.6192 | + | 24.1798i | −0.963004 | + | 0.786153i | ||||
\(947\) | −10.7377 | − | 40.0737i | −0.348929 | − | 1.30222i | −0.887954 | − | 0.459932i | \(-0.847874\pi\) |
0.539025 | − | 0.842290i | \(-0.318793\pi\) | |||||||
\(948\) | −3.76770 | − | 2.73739i | −0.122369 | − | 0.0889063i | ||||
\(949\) | 12.3775 | + | 26.1155i | 0.401790 | + | 0.847746i | ||||
\(950\) | 4.22761 | + | 13.0112i | 0.137162 | + | 0.422140i | ||||
\(951\) | 9.74050 | − | 12.0285i | 0.315857 | − | 0.390051i | ||||
\(952\) | 2.65798 | − | 0.279365i | 0.0861455 | − | 0.00905426i | ||||
\(953\) | 17.3587 | − | 19.2788i | 0.562303 | − | 0.624500i | −0.393211 | − | 0.919448i | \(-0.628636\pi\) |
0.955513 | + | 0.294948i | \(0.0953023\pi\) | |||||||
\(954\) | −6.52826 | − | 12.8124i | −0.211360 | − | 0.414818i | ||||
\(955\) | −3.41390 | + | 2.76452i | −0.110471 | + | 0.0894578i | ||||
\(956\) | 2.52966 | − | 9.44082i | 0.0818150 | − | 0.305338i | ||||
\(957\) | 0.465127 | − | 0.813034i | 0.0150354 | − | 0.0262817i | ||||
\(958\) | −8.39809 | − | 14.5459i | −0.271330 | − | 0.469957i | ||||
\(959\) | −2.16071 | + | 0.962010i | −0.0697729 | + | 0.0310649i | ||||
\(960\) | −6.47415 | − | 0.339296i | −0.208952 | − | 0.0109507i | ||||
\(961\) | −0.211808 | + | 0.0688206i | −0.00683252 | + | 0.00222002i | ||||
\(962\) | 2.34601 | + | 1.12610i | 0.0756385 | + | 0.0363070i | ||||
\(963\) | −4.54465 | − | 6.25517i | −0.146449 | − | 0.201570i | ||||
\(964\) | 18.1964 | − | 11.8169i | 0.586065 | − | 0.380595i | ||||
\(965\) | −0.851267 | + | 0.766484i | −0.0274033 | + | 0.0246740i | ||||
\(966\) | 0.141365 | + | 0.0148581i | 0.00454835 | + | 0.000478051i | ||||
\(967\) | −27.8381 | + | 27.8381i | −0.895212 | + | 0.895212i | −0.995008 | − | 0.0997955i | \(-0.968181\pi\) |
0.0997955 | + | 0.995008i | \(0.468181\pi\) | |||||||
\(968\) | 1.50264 | − | 33.7843i | 0.0482967 | − | 1.08587i | ||||
\(969\) | 13.5161 | + | 3.62162i | 0.434198 | + | 0.116343i | ||||
\(970\) | 1.05439 | + | 6.65713i | 0.0338543 | + | 0.213748i | ||||
\(971\) | 17.4302 | − | 3.70489i | 0.559360 | − | 0.118896i | 0.0804485 | − | 0.996759i | \(-0.474365\pi\) |
0.478912 | + | 0.877863i | \(0.341031\pi\) | |||||||
\(972\) | 0.156405 | − | 0.735829i | 0.00501670 | − | 0.0236017i | ||||
\(973\) | −0.358380 | − | 0.290210i | −0.0114891 | − | 0.00930371i | ||||
\(974\) | 18.8951 | − | 13.7281i | 0.605439 | − | 0.439877i | ||||
\(975\) | 15.3916 | + | 3.73539i | 0.492927 | + | 0.119628i | ||||
\(976\) | 24.7067 | + | 8.02770i | 0.790843 | + | 0.256960i | ||||
\(977\) | 34.2273 | + | 13.1386i | 1.09503 | + | 0.420342i | 0.837782 | − | 0.546005i | \(-0.183852\pi\) |
0.257245 | + | 0.966346i | \(0.417185\pi\) | |||||||
\(978\) | 9.96005 | + | 5.75044i | 0.318487 | + | 0.183879i | ||||
\(979\) | −3.67804 | − | 3.64905i | −0.117551 | − | 0.116624i | ||||
\(980\) | 2.88908 | + | 2.88908i | 0.0922881 | + | 0.0922881i | ||||
\(981\) | 1.12919 | + | 1.39443i | 0.0360522 | + | 0.0445208i | ||||
\(982\) | 11.0333 | − | 16.9898i | 0.352086 | − | 0.542165i | ||||
\(983\) | 19.5211 | + | 9.94652i | 0.622628 | + | 0.317245i | 0.736692 | − | 0.676229i | \(-0.236387\pi\) |
−0.114064 | + | 0.993473i | \(0.536387\pi\) | |||||||
\(984\) | −3.86005 | − | 1.71861i | −0.123054 | − | 0.0547872i | ||||
\(985\) | −0.381933 | − | 3.63385i | −0.0121694 | − | 0.115784i | ||||
\(986\) | −0.862301 | − | 1.32783i | −0.0274613 | − | 0.0422866i | ||||
\(987\) | 0.0640220 | − | 0.197039i | 0.00203784 | − | 0.00627183i | ||||
\(988\) | −2.91120 | + | 6.97951i | −0.0926176 | + | 0.222048i | ||||
\(989\) | − | 7.58207i | − | 0.241096i | ||||||
\(990\) | −2.87222 | − | 0.290400i | −0.0912851 | − | 0.00922951i | ||||
\(991\) | −16.7918 | + | 29.0843i | −0.533410 | + | 0.923893i | 0.465829 | + | 0.884875i | \(0.345756\pi\) |
−0.999239 | + | 0.0390182i | \(0.987577\pi\) | |||||||
\(992\) | −2.33240 | + | 22.1913i | −0.0740539 | + | 0.704576i | ||||
\(993\) | −21.1516 | + | 10.7773i | −0.671225 | + | 0.342006i | ||||
\(994\) | −0.803448 | + | 0.0421069i | −0.0254838 | + | 0.00133555i | ||||
\(995\) | −8.11163 | + | 3.11376i | −0.257156 | + | 0.0987129i | ||||
\(996\) | −10.5573 | − | 1.67211i | −0.334521 | − | 0.0529829i | ||||
\(997\) | 35.6693 | + | 32.1168i | 1.12966 | + | 1.01715i | 0.999671 | + | 0.0256328i | \(0.00816006\pi\) |
0.129986 | + | 0.991516i | \(0.458507\pi\) | |||||||
\(998\) | −19.4307 | − | 21.5800i | −0.615068 | − | 0.683102i | ||||
\(999\) | −0.231554 | + | 0.603218i | −0.00732603 | + | 0.0190850i |
(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 | 429.2.bs.b.7.10 | ✓ | 224 | |
11.8 | odd | 10 | inner | 429.2.bs.b.85.10 | yes | 224 | |
13.2 | odd | 12 | inner | 429.2.bs.b.106.10 | yes | 224 | |
143.41 | even | 60 | inner | 429.2.bs.b.184.10 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
429.2.bs.b.7.10 | ✓ | 224 | 1.1 | even | 1 | trivial | |
429.2.bs.b.85.10 | yes | 224 | 11.8 | odd | 10 | inner | |
429.2.bs.b.106.10 | yes | 224 | 13.2 | odd | 12 | inner | |
429.2.bs.b.184.10 | yes | 224 | 143.41 | even | 60 | inner |