Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [400,2,Mod(21,400)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(400, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([0, 5, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("400.21");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 400 = 2^{4} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 400.be (of order \(20\), degree \(8\), 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: | \(3.19401608085\) |
Analytic rank: | \(0\) |
Dimension: | \(464\) |
Relative dimension: | \(58\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 261.5 | ||
Character | \(\chi\) | \(=\) | 400.261 |
Dual form | 400.2.be.a.141.5 |
$q$-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 \(\left(\mathbb{Z}/400\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(177\) | \(351\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{4}{5}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.38726 | + | 0.274806i | −0.980939 | + | 0.194317i | ||||
\(3\) | 0.652342 | + | 1.28029i | 0.376630 | + | 0.739178i | 0.999053 | − | 0.0435027i | \(-0.0138517\pi\) |
−0.622423 | + | 0.782681i | \(0.713852\pi\) | |||||||
\(4\) | 1.84896 | − | 0.762452i | 0.924482 | − | 0.381226i | ||||
\(5\) | 2.03559 | − | 0.925395i | 0.910345 | − | 0.413849i | ||||
\(6\) | −1.25680 | − | 1.59683i | −0.513086 | − | 0.651903i | ||||
\(7\) | 1.67999i | 0.634977i | 0.948262 | + | 0.317488i | \(0.102839\pi\) | ||||
−0.948262 | + | 0.317488i | \(0.897161\pi\) | |||||||
\(8\) | −2.35546 | + | 1.56582i | −0.832782 | + | 0.553602i | ||||
\(9\) | 0.549753 | − | 0.756670i | 0.183251 | − | 0.252223i | ||||
\(10\) | −2.56959 | + | 1.84315i | −0.812575 | + | 0.582856i | ||||
\(11\) | −0.376292 | − | 0.0595987i | −0.113456 | − | 0.0179697i | 0.0994481 | − | 0.995043i | \(-0.468292\pi\) |
−0.212904 | + | 0.977073i | \(0.568292\pi\) | |||||||
\(12\) | 2.18232 | + | 1.86984i | 0.629982 | + | 0.539776i | ||||
\(13\) | 5.88037 | − | 0.931359i | 1.63092 | − | 0.258313i | 0.727198 | − | 0.686428i | \(-0.240822\pi\) |
0.903724 | + | 0.428116i | \(0.140822\pi\) | |||||||
\(14\) | −0.461671 | − | 2.33058i | −0.123387 | − | 0.622873i | ||||
\(15\) | 2.51268 | + | 2.00249i | 0.648772 | + | 0.517039i | ||||
\(16\) | 2.83733 | − | 2.81949i | 0.709334 | − | 0.704873i | ||||
\(17\) | 1.49793 | + | 4.61015i | 0.363301 | + | 1.11813i | 0.951038 | + | 0.309073i | \(0.100019\pi\) |
−0.587737 | + | 0.809052i | \(0.699981\pi\) | |||||||
\(18\) | −0.554712 | + | 1.20077i | −0.130747 | + | 0.283025i | ||||
\(19\) | −5.97303 | − | 3.04341i | −1.37031 | − | 0.698206i | −0.394921 | − | 0.918715i | \(-0.629228\pi\) |
−0.975385 | + | 0.220509i | \(0.929228\pi\) | |||||||
\(20\) | 3.05817 | − | 3.26306i | 0.683828 | − | 0.729643i | ||||
\(21\) | −2.15088 | + | 1.09593i | −0.469361 | + | 0.239151i | ||||
\(22\) | 0.538391 | − | 0.0207282i | 0.114785 | − | 0.00441928i | ||||
\(23\) | −4.03408 | − | 5.55244i | −0.841164 | − | 1.15776i | −0.985741 | − | 0.168270i | \(-0.946182\pi\) |
0.144577 | − | 0.989494i | \(-0.453818\pi\) | |||||||
\(24\) | −3.54128 | − | 1.99423i | −0.722861 | − | 0.407071i | ||||
\(25\) | 3.28729 | − | 3.76746i | 0.657458 | − | 0.753491i | ||||
\(26\) | −7.90164 | + | 2.90799i | −1.54964 | + | 0.570304i | ||||
\(27\) | 5.58504 | + | 0.884583i | 1.07484 | + | 0.170238i | ||||
\(28\) | 1.28091 | + | 3.10624i | 0.242070 | + | 0.587025i | ||||
\(29\) | 0.964763 | + | 1.89345i | 0.179152 | + | 0.351606i | 0.963067 | − | 0.269263i | \(-0.0867801\pi\) |
−0.783915 | + | 0.620869i | \(0.786780\pi\) | |||||||
\(30\) | −4.03603 | − | 2.08746i | −0.736875 | − | 0.381117i | ||||
\(31\) | 1.74337 | + | 5.36555i | 0.313119 | + | 0.963681i | 0.976522 | + | 0.215418i | \(0.0691115\pi\) |
−0.663403 | + | 0.748262i | \(0.730888\pi\) | |||||||
\(32\) | −3.16130 | + | 4.69107i | −0.558844 | + | 0.829273i | ||||
\(33\) | −0.169167 | − | 0.520643i | −0.0294482 | − | 0.0906323i | ||||
\(34\) | −3.34491 | − | 5.98382i | −0.573647 | − | 1.02622i | ||||
\(35\) | 1.55466 | + | 3.41978i | 0.262785 | + | 0.578048i | ||||
\(36\) | 0.439549 | − | 1.81822i | 0.0732582 | − | 0.303036i | ||||
\(37\) | 0.233235 | + | 1.47258i | 0.0383435 | + | 0.242091i | 0.999415 | − | 0.0342095i | \(-0.0108913\pi\) |
−0.961071 | + | 0.276301i | \(0.910891\pi\) | |||||||
\(38\) | 9.12247 | + | 2.58057i | 1.47986 | + | 0.418624i | ||||
\(39\) | 5.02843 | + | 6.92104i | 0.805193 | + | 1.10825i | ||||
\(40\) | −3.34576 | + | 5.36711i | −0.529011 | + | 0.848615i | ||||
\(41\) | −0.668698 | + | 0.920384i | −0.104433 | + | 0.143740i | −0.858035 | − | 0.513591i | \(-0.828315\pi\) |
0.753602 | + | 0.657331i | \(0.228315\pi\) | |||||||
\(42\) | 2.68266 | − | 2.11141i | 0.413943 | − | 0.325798i | ||||
\(43\) | 4.99167 | + | 4.99167i | 0.761222 | + | 0.761222i | 0.976543 | − | 0.215321i | \(-0.0690799\pi\) |
−0.215321 | + | 0.976543i | \(0.569080\pi\) | |||||||
\(44\) | −0.741191 | + | 0.176708i | −0.111739 | + | 0.0266398i | ||||
\(45\) | 0.418856 | − | 2.04901i | 0.0624393 | − | 0.305449i | ||||
\(46\) | 7.12215 | + | 6.59407i | 1.05010 | + | 0.972243i | ||||
\(47\) | −1.93439 | + | 5.95344i | −0.282160 | + | 0.868399i | 0.705076 | + | 0.709132i | \(0.250913\pi\) |
−0.987236 | + | 0.159267i | \(0.949087\pi\) | |||||||
\(48\) | 5.46069 | + | 1.79335i | 0.788183 | + | 0.258848i | ||||
\(49\) | 4.17763 | 0.596804 | ||||||||
\(50\) | −3.52500 | + | 6.12980i | −0.498510 | + | 0.866884i | ||||
\(51\) | −4.92518 | + | 4.92518i | −0.689664 | + | 0.689664i | ||||
\(52\) | 10.1625 | − | 6.20555i | 1.40928 | − | 0.860555i | ||||
\(53\) | −12.4980 | + | 6.36804i | −1.71673 | + | 0.874717i | −0.736608 | + | 0.676320i | \(0.763574\pi\) |
−0.980122 | + | 0.198397i | \(0.936426\pi\) | |||||||
\(54\) | −7.99097 | + | 0.307655i | −1.08743 | + | 0.0418666i | ||||
\(55\) | −0.821130 | + | 0.226900i | −0.110721 | + | 0.0305951i | ||||
\(56\) | −2.63057 | − | 3.95715i | −0.351524 | − | 0.528797i | ||||
\(57\) | − | 9.63258i | − | 1.27587i | ||||||
\(58\) | −1.85871 | − | 2.36159i | −0.244060 | − | 0.310091i | ||||
\(59\) | −1.85746 | − | 11.7275i | −0.241820 | − | 1.52679i | −0.747611 | − | 0.664137i | \(-0.768799\pi\) |
0.505790 | − | 0.862657i | \(-0.331201\pi\) | |||||||
\(60\) | 6.17266 | + | 1.78672i | 0.796887 | + | 0.230665i | ||||
\(61\) | −1.35111 | + | 8.53060i | −0.172993 | + | 1.09223i | 0.736477 | + | 0.676462i | \(0.236488\pi\) |
−0.909470 | + | 0.415770i | \(0.863512\pi\) | |||||||
\(62\) | −3.89299 | − | 6.96431i | −0.494410 | − | 0.884468i | ||||
\(63\) | 1.27120 | + | 0.923580i | 0.160156 | + | 0.116360i | ||||
\(64\) | 3.09640 | − | 7.37647i | 0.387050 | − | 0.922059i | ||||
\(65\) | 11.1082 | − | 7.33754i | 1.37780 | − | 0.910109i | ||||
\(66\) | 0.377754 | + | 0.675777i | 0.0464983 | + | 0.0831824i | ||||
\(67\) | −1.76611 | − | 0.899877i | −0.215765 | − | 0.109938i | 0.342768 | − | 0.939420i | \(-0.388635\pi\) |
−0.558533 | + | 0.829483i | \(0.688635\pi\) | |||||||
\(68\) | 6.28463 | + | 7.38190i | 0.762123 | + | 0.895187i | ||||
\(69\) | 4.47715 | − | 8.78690i | 0.538986 | − | 1.05782i | ||||
\(70\) | −3.09648 | − | 4.31689i | −0.370100 | − | 0.515967i | ||||
\(71\) | −8.22934 | − | 2.67387i | −0.976643 | − | 0.317331i | −0.223148 | − | 0.974784i | \(-0.571633\pi\) |
−0.753495 | + | 0.657454i | \(0.771633\pi\) | |||||||
\(72\) | −0.110112 | + | 2.64312i | −0.0129768 | + | 0.311495i | ||||
\(73\) | −6.36337 | − | 8.75843i | −0.744776 | − | 1.02510i | −0.998330 | − | 0.0577753i | \(-0.981599\pi\) |
0.253553 | − | 0.967321i | \(-0.418401\pi\) | |||||||
\(74\) | −0.728231 | − | 1.97876i | −0.0846551 | − | 0.230026i | ||||
\(75\) | 6.96789 | + | 1.75102i | 0.804583 | + | 0.202191i | ||||
\(76\) | −13.3644 | − | 1.07301i | −1.53300 | − | 0.123083i | ||||
\(77\) | 0.100125 | − | 0.632167i | 0.0114103 | − | 0.0720421i | ||||
\(78\) | −8.87766 | − | 8.21942i | −1.00520 | − | 0.930666i | ||||
\(79\) | 2.52196 | − | 7.76181i | 0.283743 | − | 0.873272i | −0.703029 | − | 0.711161i | \(-0.748170\pi\) |
0.986773 | − | 0.162111i | \(-0.0518302\pi\) | |||||||
\(80\) | 3.16652 | − | 8.36500i | 0.354028 | − | 0.935235i | ||||
\(81\) | 1.64376 | + | 5.05899i | 0.182640 | + | 0.562110i | ||||
\(82\) | 0.674730 | − | 1.46057i | 0.0745114 | − | 0.161293i | ||||
\(83\) | 6.69130 | + | 3.40939i | 0.734465 | + | 0.374229i | 0.780870 | − | 0.624694i | \(-0.214776\pi\) |
−0.0464044 | + | 0.998923i | \(0.514776\pi\) | |||||||
\(84\) | −3.14131 | + | 3.66628i | −0.342745 | + | 0.400024i | ||||
\(85\) | 7.31538 | + | 7.99822i | 0.793465 | + | 0.867528i | ||||
\(86\) | −8.29646 | − | 5.55299i | −0.894630 | − | 0.598794i | ||||
\(87\) | −1.79482 | + | 2.47036i | −0.192425 | + | 0.264851i | ||||
\(88\) | 0.979662 | − | 0.448823i | 0.104432 | − | 0.0478447i | ||||
\(89\) | −5.91437 | − | 8.14043i | −0.626922 | − | 0.862884i | 0.370912 | − | 0.928668i | \(-0.379045\pi\) |
−0.997834 | + | 0.0657841i | \(0.979045\pi\) | |||||||
\(90\) | −0.0179803 | + | 2.95761i | −0.00189529 | + | 0.311760i | ||||
\(91\) | 1.56468 | + | 9.87897i | 0.164023 | + | 1.03560i | ||||
\(92\) | −11.6923 | − | 7.19046i | −1.21901 | − | 0.749658i | ||||
\(93\) | −5.73220 | + | 5.73220i | −0.594402 | + | 0.594402i | ||||
\(94\) | 1.04746 | − | 8.79054i | 0.108037 | − | 0.906675i | ||||
\(95\) | −14.9750 | − | 0.667738i | −1.53640 | − | 0.0685084i | ||||
\(96\) | −8.06821 | − | 0.987208i | −0.823458 | − | 0.100756i | ||||
\(97\) | 3.60983 | − | 11.1099i | 0.366522 | − | 1.12804i | −0.582500 | − | 0.812831i | \(-0.697925\pi\) |
0.949022 | − | 0.315209i | \(-0.102075\pi\) | |||||||
\(98\) | −5.79545 | + | 1.14804i | −0.585429 | + | 0.115969i | ||||
\(99\) | −0.251964 | + | 0.251964i | −0.0253233 | + | 0.0253233i | ||||
\(100\) | 3.20557 | − | 9.47229i | 0.320557 | − | 0.947229i | ||||
\(101\) | −0.707455 | − | 0.707455i | −0.0703944 | − | 0.0703944i | 0.671033 | − | 0.741427i | \(-0.265851\pi\) |
−0.741427 | + | 0.671033i | \(0.765851\pi\) | |||||||
\(102\) | 5.47903 | − | 8.18596i | 0.542505 | − | 0.810531i | ||||
\(103\) | 6.40948 | + | 2.08257i | 0.631545 | + | 0.205201i | 0.607259 | − | 0.794504i | \(-0.292269\pi\) |
0.0242857 | + | 0.999705i | \(0.492269\pi\) | |||||||
\(104\) | −12.3926 | + | 11.4014i | −1.21520 | + | 1.11800i | ||||
\(105\) | −3.36416 | + | 4.22128i | −0.328308 | + | 0.411955i | ||||
\(106\) | 15.5879 | − | 12.2686i | 1.51403 | − | 1.19163i | ||||
\(107\) | −1.26842 | − | 1.26842i | −0.122623 | − | 0.122623i | 0.643132 | − | 0.765755i | \(-0.277635\pi\) |
−0.765755 | + | 0.643132i | \(0.777635\pi\) | |||||||
\(108\) | 11.0010 | − | 2.62276i | 1.05857 | − | 0.252375i | ||||
\(109\) | −4.76272 | + | 0.754340i | −0.456185 | + | 0.0722527i | −0.380299 | − | 0.924864i | \(-0.624179\pi\) |
−0.0758869 | + | 0.997116i | \(0.524179\pi\) | |||||||
\(110\) | 1.07676 | − | 0.540419i | 0.102665 | − | 0.0515269i | ||||
\(111\) | −1.73319 | + | 1.25924i | −0.164507 | + | 0.119522i | ||||
\(112\) | 4.73672 | + | 4.76670i | 0.447578 | + | 0.450410i | ||||
\(113\) | −16.0723 | − | 11.6772i | −1.51196 | − | 1.09850i | −0.965300 | − | 0.261142i | \(-0.915901\pi\) |
−0.546655 | − | 0.837358i | \(-0.684099\pi\) | |||||||
\(114\) | 2.64708 | + | 13.3629i | 0.247922 | + | 1.25155i | ||||
\(115\) | −13.3500 | − | 7.56939i | −1.24489 | − | 0.705849i | ||||
\(116\) | 3.22748 | + | 2.76534i | 0.299664 | + | 0.256756i | ||||
\(117\) | 2.52802 | − | 4.96152i | 0.233716 | − | 0.458693i | ||||
\(118\) | 5.79956 | + | 15.7587i | 0.533893 | + | 1.45070i | ||||
\(119\) | −7.74501 | + | 2.51651i | −0.709984 | + | 0.230688i | ||||
\(120\) | −9.05406 | − | 0.782365i | −0.826519 | − | 0.0714198i | ||||
\(121\) | −10.3236 | − | 3.35433i | −0.938507 | − | 0.304939i | ||||
\(122\) | −0.469913 | − | 12.2054i | −0.0425440 | − | 1.10503i | ||||
\(123\) | −1.61458 | − | 0.255725i | −0.145582 | − | 0.0230579i | ||||
\(124\) | 7.31440 | + | 8.59147i | 0.656853 | + | 0.771536i | ||||
\(125\) | 3.20520 | − | 10.7111i | 0.286682 | − | 0.958026i | ||||
\(126\) | −2.01729 | − | 0.931911i | −0.179714 | − | 0.0830212i | ||||
\(127\) | −6.55323 | + | 4.76120i | −0.581505 | + | 0.422488i | −0.839266 | − | 0.543721i | \(-0.817015\pi\) |
0.257761 | + | 0.966209i | \(0.417015\pi\) | |||||||
\(128\) | −2.26841 | + | 11.0840i | −0.200501 | + | 0.979693i | ||||
\(129\) | −3.13452 | + | 9.64708i | −0.275980 | + | 0.849378i | ||||
\(130\) | −13.3935 | + | 13.2316i | −1.17469 | + | 1.16049i | ||||
\(131\) | 1.36898 | + | 0.697532i | 0.119609 | + | 0.0609437i | 0.512771 | − | 0.858525i | \(-0.328619\pi\) |
−0.393162 | + | 0.919469i | \(0.628619\pi\) | |||||||
\(132\) | −0.709749 | − | 0.833668i | −0.0617757 | − | 0.0725615i | ||||
\(133\) | 5.11290 | − | 10.0346i | 0.443345 | − | 0.870113i | ||||
\(134\) | 2.69734 | + | 0.763025i | 0.233015 | + | 0.0659153i | ||||
\(135\) | 12.1875 | − | 3.36771i | 1.04893 | − | 0.289847i | ||||
\(136\) | −10.7470 | − | 8.51354i | −0.921546 | − | 0.730030i | ||||
\(137\) | 4.31596 | − | 5.94041i | 0.368737 | − | 0.507524i | −0.583820 | − | 0.811883i | \(-0.698443\pi\) |
0.952557 | + | 0.304360i | \(0.0984425\pi\) | |||||||
\(138\) | −3.79627 | + | 13.4200i | −0.323160 | + | 1.14239i | ||||
\(139\) | 14.4540 | + | 2.28928i | 1.22597 | + | 0.194174i | 0.735646 | − | 0.677366i | \(-0.236879\pi\) |
0.490323 | + | 0.871541i | \(0.336879\pi\) | |||||||
\(140\) | 5.48192 | + | 5.13770i | 0.463307 | + | 0.434215i | ||||
\(141\) | −8.88405 | + | 1.40709i | −0.748172 | + | 0.118499i | ||||
\(142\) | 12.1510 | + | 1.44788i | 1.01969 | + | 0.121504i | ||||
\(143\) | −2.26824 | −0.189680 | ||||||||
\(144\) | −0.573592 | − | 3.69695i | −0.0477993 | − | 0.308079i | ||||
\(145\) | 3.71606 | + | 2.96152i | 0.308602 | + | 0.245941i | ||||
\(146\) | 11.2345 | + | 10.4015i | 0.929774 | + | 0.860835i | ||||
\(147\) | 2.72525 | + | 5.34860i | 0.224774 | + | 0.441145i | ||||
\(148\) | 1.55402 | + | 2.54493i | 0.127739 | + | 0.209192i | ||||
\(149\) | 2.75851 | + | 2.75851i | 0.225986 | + | 0.225986i | 0.811013 | − | 0.585028i | \(-0.198916\pi\) |
−0.585028 | + | 0.811013i | \(0.698916\pi\) | |||||||
\(150\) | −10.1474 | − | 0.514305i | −0.828536 | − | 0.0419928i | ||||
\(151\) | − | 12.5085i | − | 1.01792i | −0.860789 | − | 0.508962i | \(-0.830029\pi\) | ||
0.860789 | − | 0.508962i | \(-0.169971\pi\) | |||||||
\(152\) | 18.8347 | − | 2.18406i | 1.52769 | − | 0.177151i | ||||
\(153\) | 4.31185 | + | 1.40101i | 0.348593 | + | 0.113265i | ||||
\(154\) | 0.0348233 | + | 0.904492i | 0.00280614 | + | 0.0728861i | ||||
\(155\) | 8.51405 | + | 9.30877i | 0.683865 | + | 0.747698i | ||||
\(156\) | 14.5743 | + | 8.96282i | 1.16688 | + | 0.717600i | ||||
\(157\) | −8.14071 | + | 8.14071i | −0.649700 | + | 0.649700i | −0.952920 | − | 0.303221i | \(-0.901938\pi\) |
0.303221 | + | 0.952920i | \(0.401938\pi\) | |||||||
\(158\) | −1.36563 | + | 11.4607i | −0.108643 | + | 0.911762i | ||||
\(159\) | −16.3059 | − | 11.8469i | −1.29314 | − | 0.939524i | ||||
\(160\) | −2.09403 | + | 12.4746i | −0.165548 | + | 0.986202i | ||||
\(161\) | 9.32804 | − | 6.77722i | 0.735153 | − | 0.534120i | ||||
\(162\) | −3.67056 | − | 6.56640i | −0.288387 | − | 0.515905i | ||||
\(163\) | 3.89067 | − | 0.616221i | 0.304740 | − | 0.0482661i | −0.00219154 | − | 0.999998i | \(-0.500698\pi\) |
0.306932 | + | 0.951731i | \(0.400698\pi\) | |||||||
\(164\) | −0.534650 | + | 2.21161i | −0.0417492 | + | 0.172698i | ||||
\(165\) | −0.826156 | − | 0.903271i | −0.0643161 | − | 0.0703196i | ||||
\(166\) | −10.2195 | − | 2.89089i | −0.793184 | − | 0.224377i | ||||
\(167\) | −7.60821 | + | 2.47206i | −0.588741 | + | 0.191294i | −0.588213 | − | 0.808706i | \(-0.700168\pi\) |
−0.000528319 | 1.00000i | \(0.500168\pi\) | ||||||||
\(168\) | 3.35029 | − | 5.94932i | 0.258481 | − | 0.459000i | ||||
\(169\) | 21.3476 | − | 6.93626i | 1.64212 | − | 0.533558i | ||||
\(170\) | −12.3463 | − | 9.08528i | −0.946916 | − | 0.696809i | ||||
\(171\) | −5.58655 | + | 2.84649i | −0.427214 | + | 0.217676i | ||||
\(172\) | 13.0353 | + | 5.42350i | 0.993933 | + | 0.413538i | ||||
\(173\) | −0.459961 | + | 2.90408i | −0.0349702 | + | 0.220793i | −0.998984 | − | 0.0450576i | \(-0.985653\pi\) |
0.964014 | + | 0.265851i | \(0.0856529\pi\) | |||||||
\(174\) | 1.81101 | − | 3.92025i | 0.137292 | − | 0.297194i | ||||
\(175\) | 6.32929 | + | 5.52261i | 0.478450 | + | 0.417470i | ||||
\(176\) | −1.23570 | + | 0.891849i | −0.0931447 | + | 0.0672257i | ||||
\(177\) | 13.8030 | − | 10.0285i | 1.03750 | − | 0.753785i | ||||
\(178\) | 10.4418 | + | 9.66757i | 0.782645 | + | 0.724615i | ||||
\(179\) | −2.28630 | − | 4.48712i | −0.170886 | − | 0.335383i | 0.789641 | − | 0.613569i | \(-0.210267\pi\) |
−0.960527 | + | 0.278186i | \(0.910267\pi\) | |||||||
\(180\) | −0.787824 | − | 4.10791i | −0.0587210 | − | 0.306185i | ||||
\(181\) | 2.53106 | − | 4.96749i | 0.188132 | − | 0.369230i | −0.777605 | − | 0.628754i | \(-0.783565\pi\) |
0.965737 | + | 0.259523i | \(0.0835654\pi\) | |||||||
\(182\) | −4.88540 | − | 13.2747i | −0.362130 | − | 0.983985i | ||||
\(183\) | −11.8031 | + | 3.83505i | −0.872508 | + | 0.283495i | ||||
\(184\) | 18.1963 | + | 6.76190i | 1.34145 | + | 0.498494i | ||||
\(185\) | 1.83749 | + | 2.78175i | 0.135095 | + | 0.204518i | ||||
\(186\) | 6.37680 | − | 9.52728i | 0.467570 | − | 0.698574i | ||||
\(187\) | −0.288899 | − | 1.82404i | −0.0211264 | − | 0.133387i | ||||
\(188\) | 0.962594 | + | 12.4826i | 0.0702044 | + | 0.910386i | ||||
\(189\) | −1.48609 | + | 9.38282i | −0.108097 | + | 0.682499i | ||||
\(190\) | 20.9577 | − | 3.18889i | 1.52043 | − | 0.231347i | ||||
\(191\) | −3.39658 | − | 2.46776i | −0.245768 | − | 0.178561i | 0.458081 | − | 0.888910i | \(-0.348537\pi\) |
−0.703849 | + | 0.710350i | \(0.748537\pi\) | |||||||
\(192\) | 11.4640 | − | 0.847677i | 0.827340 | − | 0.0611758i | ||||
\(193\) | −14.8056 | −1.06573 | −0.532864 | − | 0.846201i | \(-0.678884\pi\) | ||||
−0.532864 | + | 0.846201i | \(0.678884\pi\) | |||||||
\(194\) | −1.95469 | + | 16.4043i | −0.140339 | + | 1.17776i | ||||
\(195\) | 16.6405 | + | 9.43515i | 1.19165 | + | 0.675665i | ||||
\(196\) | 7.72429 | − | 3.18524i | 0.551735 | − | 0.227517i | ||||
\(197\) | −17.4493 | + | 8.89088i | −1.24321 | + | 0.633449i | −0.946865 | − | 0.321631i | \(-0.895769\pi\) |
−0.296349 | + | 0.955080i | \(0.595769\pi\) | |||||||
\(198\) | 0.280298 | − | 0.418780i | 0.0199199 | − | 0.0297614i | ||||
\(199\) | − | 4.95595i | − | 0.351318i | −0.984451 | − | 0.175659i | \(-0.943794\pi\) | ||
0.984451 | − | 0.175659i | \(-0.0562056\pi\) | |||||||
\(200\) | −1.84392 | + | 14.0214i | −0.130385 | + | 0.991463i | ||||
\(201\) | − | 2.84817i | − | 0.200894i | ||||||
\(202\) | 1.17583 | + | 0.787009i | 0.0827314 | + | 0.0553738i | ||||
\(203\) | −3.18099 | + | 1.62079i | −0.223261 | + | 0.113757i | ||||
\(204\) | −5.35127 | + | 12.8617i | −0.374664 | + | 0.900499i | ||||
\(205\) | −0.509480 | + | 2.49234i | −0.0355836 | + | 0.174072i | ||||
\(206\) | −9.46390 | − | 1.12769i | −0.659381 | − | 0.0785702i | ||||
\(207\) | −6.41911 | −0.446159 | ||||||||
\(208\) | 14.0586 | − | 19.2222i | 0.974790 | − | 1.33282i | ||||
\(209\) | 2.06622 | + | 1.50119i | 0.142923 | + | 0.103840i | ||||
\(210\) | 3.50692 | − | 6.78049i | 0.242000 | − | 0.467899i | ||||
\(211\) | 1.50907 | − | 9.52787i | 0.103888 | − | 0.655925i | −0.879704 | − | 0.475521i | \(-0.842259\pi\) |
0.983593 | − | 0.180404i | \(-0.0577405\pi\) | |||||||
\(212\) | −18.2530 | + | 21.3034i | −1.25362 | + | 1.46312i | ||||
\(213\) | −1.94500 | − | 12.2803i | −0.133269 | − | 0.841430i | ||||
\(214\) | 2.10819 | + | 1.41106i | 0.144113 | + | 0.0964577i | ||||
\(215\) | 14.7803 | + | 5.54174i | 1.00801 | + | 0.377944i | ||||
\(216\) | −14.5404 | + | 6.66157i | −0.989352 | + | 0.453263i | ||||
\(217\) | −9.01407 | + | 2.92885i | −0.611915 | + | 0.198823i | ||||
\(218\) | 6.39981 | − | 2.35528i | 0.433450 | − | 0.159520i | ||||
\(219\) | 7.06227 | − | 13.8605i | 0.477224 | − | 0.936605i | ||||
\(220\) | −1.34524 | + | 1.04560i | −0.0906960 | + | 0.0704944i | ||||
\(221\) | 13.1021 | + | 25.7143i | 0.881341 | + | 1.72973i | ||||
\(222\) | 2.05834 | − | 2.22318i | 0.138147 | − | 0.149210i | ||||
\(223\) | −11.9341 | + | 8.67065i | −0.799168 | + | 0.580629i | −0.910670 | − | 0.413135i | \(-0.864434\pi\) |
0.111502 | + | 0.993764i | \(0.464434\pi\) | |||||||
\(224\) | −7.88096 | − | 5.31096i | −0.526569 | − | 0.354853i | ||||
\(225\) | −1.04353 | − | 4.55857i | −0.0695684 | − | 0.303904i | ||||
\(226\) | 25.5054 | + | 11.7825i | 1.69659 | + | 0.783763i | ||||
\(227\) | −1.47409 | + | 9.30707i | −0.0978391 | + | 0.617732i | 0.889233 | + | 0.457455i | \(0.151239\pi\) |
−0.987072 | + | 0.160277i | \(0.948761\pi\) | |||||||
\(228\) | −7.34437 | − | 17.8103i | −0.486393 | − | 1.17951i | ||||
\(229\) | −11.1603 | + | 5.68643i | −0.737490 | + | 0.375770i | −0.782033 | − | 0.623237i | \(-0.785817\pi\) |
0.0445424 | + | 0.999007i | \(0.485817\pi\) | |||||||
\(230\) | 20.5999 | + | 6.83205i | 1.35832 | + | 0.450492i | ||||
\(231\) | 0.874675 | − | 0.284199i | 0.0575494 | − | 0.0186989i | ||||
\(232\) | −5.23728 | − | 2.94931i | −0.343844 | − | 0.193632i | ||||
\(233\) | −4.91389 | + | 1.59662i | −0.321919 | + | 0.104598i | −0.465519 | − | 0.885038i | \(-0.654132\pi\) |
0.143600 | + | 0.989636i | \(0.454132\pi\) | |||||||
\(234\) | −2.14356 | + | 7.57762i | −0.140129 | + | 0.495364i | ||||
\(235\) | 1.57165 | + | 13.9089i | 0.102523 | + | 0.907315i | ||||
\(236\) | −12.3760 | − | 20.2676i | −0.805612 | − | 1.31931i | ||||
\(237\) | 11.5826 | − | 1.83450i | 0.752370 | − | 0.119164i | ||||
\(238\) | 10.0528 | − | 5.61941i | 0.651624 | − | 0.364252i | ||||
\(239\) | 4.01636 | − | 2.91806i | 0.259797 | − | 0.188753i | −0.450261 | − | 0.892897i | \(-0.648669\pi\) |
0.710057 | + | 0.704144i | \(0.248669\pi\) | |||||||
\(240\) | 12.7753 | − | 1.40277i | 0.824643 | − | 0.0905481i | ||||
\(241\) | 4.35384 | + | 3.16325i | 0.280455 | + | 0.203763i | 0.719116 | − | 0.694890i | \(-0.244547\pi\) |
−0.438661 | + | 0.898653i | \(0.644547\pi\) | |||||||
\(242\) | 15.2432 | + | 1.81635i | 0.979873 | + | 0.116759i | ||||
\(243\) | 6.59065 | − | 6.59065i | 0.422790 | − | 0.422790i | ||||
\(244\) | 4.00601 | + | 16.8029i | 0.256459 | + | 1.07570i | ||||
\(245\) | 8.50396 | − | 3.86596i | 0.543298 | − | 0.246987i | ||||
\(246\) | 2.31012 | − | 0.0889403i | 0.147288 | − | 0.00567062i | ||||
\(247\) | −37.9581 | − | 12.3333i | −2.41522 | − | 0.784752i | ||||
\(248\) | −12.5079 | − | 9.90853i | −0.794255 | − | 0.629193i | ||||
\(249\) | 10.7909i | 0.683846i | ||||||||
\(250\) | −1.50298 | + | 15.7398i | −0.0950567 | + | 0.995472i | ||||
\(251\) | 19.7796 | + | 19.7796i | 1.24848 | + | 1.24848i | 0.956392 | + | 0.292086i | \(0.0943494\pi\) |
0.292086 | + | 0.956392i | \(0.405651\pi\) | |||||||
\(252\) | 3.05459 | + | 0.738439i | 0.192421 | + | 0.0465173i | ||||
\(253\) | 1.18707 | + | 2.32976i | 0.0746306 | + | 0.146471i | ||||
\(254\) | 7.78261 | − | 8.40587i | 0.488324 | − | 0.527431i | ||||
\(255\) | −5.46794 | + | 14.5834i | −0.342415 | + | 0.913249i | ||||
\(256\) | 0.100936 | − | 15.9997i | 0.00630852 | − | 0.999980i | ||||
\(257\) | −5.63837 | −0.351712 | −0.175856 | − | 0.984416i | \(-0.556269\pi\) | ||||
−0.175856 | + | 0.984416i | \(0.556269\pi\) | |||||||
\(258\) | 1.69732 | − | 14.2444i | 0.105671 | − | 0.886815i | ||||
\(259\) | −2.47393 | + | 0.391832i | −0.153722 | + | 0.0243472i | ||||
\(260\) | 14.9441 | − | 22.0363i | 0.926794 | − | 1.36663i | ||||
\(261\) | 1.96310 | + | 0.310925i | 0.121513 | + | 0.0192458i | ||||
\(262\) | −2.09082 | − | 0.591452i | −0.129171 | − | 0.0365400i | ||||
\(263\) | 17.2282 | − | 23.7125i | 1.06233 | − | 1.46218i | 0.184731 | − | 0.982789i | \(-0.440859\pi\) |
0.877603 | − | 0.479388i | \(-0.159141\pi\) | |||||||
\(264\) | 1.21370 | + | 0.961469i | 0.0746981 | + | 0.0591743i | ||||
\(265\) | −19.5479 | + | 24.5283i | −1.20082 | + | 1.50676i | ||||
\(266\) | −4.33533 | + | 15.3257i | −0.265816 | + | 0.939677i | ||||
\(267\) | 6.56395 | − | 12.8825i | 0.401707 | − | 0.788395i | ||||
\(268\) | −3.95158 | − | 0.317268i | −0.241381 | − | 0.0193802i | ||||
\(269\) | 12.7237 | + | 6.48302i | 0.775775 | + | 0.395277i | 0.796600 | − | 0.604506i | \(-0.206630\pi\) |
−0.0208257 | + | 0.999783i | \(0.506630\pi\) | |||||||
\(270\) | −15.9817 | + | 8.02107i | −0.972614 | + | 0.488147i | ||||
\(271\) | 6.63495 | − | 20.4203i | 0.403044 | − | 1.24044i | −0.519473 | − | 0.854487i | \(-0.673872\pi\) |
0.922517 | − | 0.385956i | \(-0.126128\pi\) | |||||||
\(272\) | 17.2484 | + | 8.85714i | 1.04584 | + | 0.537043i | ||||
\(273\) | −11.6273 | + | 8.44772i | −0.703715 | + | 0.511279i | ||||
\(274\) | −4.35489 | + | 9.42693i | −0.263088 | + | 0.569501i | ||||
\(275\) | −1.46151 | + | 1.22174i | −0.0881327 | + | 0.0736740i | ||||
\(276\) | 1.57850 | − | 19.6603i | 0.0950145 | − | 1.18341i | ||||
\(277\) | −13.6789 | − | 2.16653i | −0.821888 | − | 0.130174i | −0.268693 | − | 0.963226i | \(-0.586592\pi\) |
−0.553195 | + | 0.833052i | \(0.686592\pi\) | |||||||
\(278\) | −20.6805 | + | 0.796205i | −1.24033 | + | 0.0477532i | ||||
\(279\) | 5.01838 | + | 1.63057i | 0.300442 | + | 0.0976196i | ||||
\(280\) | −9.01670 | − | 5.62085i | −0.538851 | − | 0.335910i | ||||
\(281\) | −5.02896 | + | 1.63401i | −0.300003 | + | 0.0974768i | −0.455151 | − | 0.890414i | \(-0.650415\pi\) |
0.155148 | + | 0.987891i | \(0.450415\pi\) | |||||||
\(282\) | 11.9378 | − | 4.39339i | 0.710884 | − | 0.261622i | ||||
\(283\) | 4.50687 | − | 8.84523i | 0.267906 | − | 0.525795i | −0.717386 | − | 0.696676i | \(-0.754662\pi\) |
0.985292 | + | 0.170881i | \(0.0546615\pi\) | |||||||
\(284\) | −17.2545 | + | 1.33058i | −1.02386 | + | 0.0789552i | ||||
\(285\) | −8.91394 | − | 19.6080i | −0.528016 | − | 1.16148i | ||||
\(286\) | 3.14664 | − | 0.623326i | 0.186064 | − | 0.0368580i | ||||
\(287\) | −1.54624 | − | 1.12341i | −0.0912715 | − | 0.0663126i | ||||
\(288\) | 1.81166 | + | 4.97100i | 0.106753 | + | 0.292919i | ||||
\(289\) | −5.25639 | + | 3.81899i | −0.309200 | + | 0.224647i | ||||
\(290\) | −5.96897 | − | 3.08719i | −0.350510 | − | 0.181286i | ||||
\(291\) | 16.5788 | − | 2.62582i | 0.971865 | − | 0.153928i | ||||
\(292\) | −18.4435 | − | 11.3423i | −1.07933 | − | 0.663755i | ||||
\(293\) | 19.3113 | + | 19.3113i | 1.12818 | + | 1.12818i | 0.990473 | + | 0.137708i | \(0.0439735\pi\) |
0.137708 | + | 0.990473i | \(0.456026\pi\) | |||||||
\(294\) | −5.25044 | − | 6.67096i | −0.306212 | − | 0.389059i | ||||
\(295\) | −14.6336 | − | 22.1536i | −0.852002 | − | 1.28983i | ||||
\(296\) | −2.85518 | − | 3.10341i | −0.165954 | − | 0.180382i | ||||
\(297\) | −2.04888 | − | 0.665723i | −0.118888 | − | 0.0386291i | ||||
\(298\) | −4.58481 | − | 3.06871i | −0.265591 | − | 0.177765i | ||||
\(299\) | −28.8932 | − | 28.8932i | −1.67094 | − | 1.67094i | ||||
\(300\) | 14.2185 | − | 2.07510i | 0.820903 | − | 0.119806i | ||||
\(301\) | −8.38595 | + | 8.38595i | −0.483358 | + | 0.483358i | ||||
\(302\) | 3.43740 | + | 17.3525i | 0.197800 | + | 0.998522i | ||||
\(303\) | 0.444248 | − | 1.36725i | 0.0255214 | − | 0.0785467i | ||||
\(304\) | −25.5283 | + | 8.20573i | −1.46415 | + | 0.470631i | ||||
\(305\) | 5.14386 | + | 18.6152i | 0.294536 | + | 1.06590i | ||||
\(306\) | −6.36665 | − | 0.758634i | −0.363957 | − | 0.0433682i | ||||
\(307\) | −17.4595 | + | 17.4595i | −0.996464 | + | 0.996464i | −0.999994 | − | 0.00353025i | \(-0.998876\pi\) |
0.00353025 | + | 0.999994i | \(0.498876\pi\) | |||||||
\(308\) | −0.296868 | − | 1.24519i | −0.0169156 | − | 0.0709515i | ||||
\(309\) | 1.51488 | + | 9.56457i | 0.0861785 | + | 0.544110i | ||||
\(310\) | −14.3693 | − | 10.5739i | −0.816120 | − | 0.600560i | ||||
\(311\) | 8.00946 | + | 11.0241i | 0.454175 | + | 0.625118i | 0.973288 | − | 0.229587i | \(-0.0737376\pi\) |
−0.519113 | + | 0.854706i | \(0.673738\pi\) | |||||||
\(312\) | −22.6814 | − | 8.42862i | −1.28408 | − | 0.477177i | ||||
\(313\) | −19.2730 | + | 26.5270i | −1.08938 | + | 1.49940i | −0.240614 | + | 0.970621i | \(0.577349\pi\) |
−0.848761 | + | 0.528776i | \(0.822651\pi\) | |||||||
\(314\) | 9.05615 | − | 13.5304i | 0.511068 | − | 0.763563i | ||||
\(315\) | 3.44232 | + | 0.703674i | 0.193953 | + | 0.0396475i | ||||
\(316\) | −1.25498 | − | 16.2742i | −0.0705983 | − | 0.915494i | ||||
\(317\) | 10.6633 | + | 5.43321i | 0.598910 | + | 0.305160i | 0.727037 | − | 0.686598i | \(-0.240897\pi\) |
−0.128128 | + | 0.991758i | \(0.540897\pi\) | |||||||
\(318\) | 25.8761 | + | 11.9538i | 1.45106 | + | 0.670336i | ||||
\(319\) | −0.250185 | − | 0.769990i | −0.0140077 | − | 0.0431111i | ||||
\(320\) | −0.523126 | − | 17.8809i | −0.0292436 | − | 0.999572i | ||||
\(321\) | 0.796506 | − | 2.45139i | 0.0444566 | − | 0.136823i | ||||
\(322\) | −11.0780 | + | 11.9651i | −0.617352 | + | 0.666791i | ||||
\(323\) | 5.08340 | − | 32.0953i | 0.282848 | − | 1.78583i | ||||
\(324\) | 6.89649 | + | 8.10059i | 0.383139 | + | 0.450033i | ||||
\(325\) | 15.8216 | − | 25.2157i | 0.877626 | − | 1.39872i | ||||
\(326\) | −5.22801 | + | 1.92403i | −0.289553 | + | 0.106562i | ||||
\(327\) | −4.07270 | − | 5.60559i | −0.225221 | − | 0.309990i | ||||
\(328\) | 0.133936 | − | 3.21499i | 0.00739536 | − | 0.177518i | ||||
\(329\) | −10.0017 | − | 3.24976i | −0.551413 | − | 0.179165i | ||||
\(330\) | 1.39431 | + | 1.02604i | 0.0767545 | + | 0.0564815i | ||||
\(331\) | −5.43522 | + | 10.6672i | −0.298747 | + | 0.586324i | −0.990770 | − | 0.135551i | \(-0.956719\pi\) |
0.692023 | + | 0.721875i | \(0.256719\pi\) | |||||||
\(332\) | 14.9715 | + | 1.20204i | 0.821665 | + | 0.0659705i | ||||
\(333\) | 1.24248 | + | 0.633077i | 0.0680876 | + | 0.0346924i | ||||
\(334\) | 9.87521 | − | 5.52016i | 0.540347 | − | 0.302050i | ||||
\(335\) | −4.42782 | − | 0.197437i | −0.241918 | − | 0.0107871i | ||||
\(336\) | −3.01281 | + | 9.17391i | −0.164362 | + | 0.500478i | ||||
\(337\) | 16.5517 | + | 12.0255i | 0.901631 | + | 0.655073i | 0.938884 | − | 0.344233i | \(-0.111861\pi\) |
−0.0372537 | + | 0.999306i | \(0.511861\pi\) | |||||||
\(338\) | −27.7085 | + | 15.4888i | −1.50714 | + | 0.842480i | ||||
\(339\) | 4.46562 | − | 28.1948i | 0.242539 | − | 1.53133i | ||||
\(340\) | 19.6241 | + | 9.21079i | 1.06427 | + | 0.499525i | ||||
\(341\) | −0.336236 | − | 2.12291i | −0.0182082 | − | 0.114962i | ||||
\(342\) | 6.96775 | − | 5.48402i | 0.376773 | − | 0.296542i | ||||
\(343\) | 18.7783i | 1.01393i | ||||||||
\(344\) | −19.5737 | − | 3.94162i | −1.05535 | − | 0.212518i | ||||
\(345\) | 0.982307 | − | 22.0297i | 0.0528856 | − | 1.18604i | ||||
\(346\) | −0.159973 | − | 4.15511i | −0.00860021 | − | 0.223380i | ||||
\(347\) | 3.62588 | − | 1.84748i | 0.194647 | − | 0.0991778i | −0.353950 | − | 0.935264i | \(-0.615162\pi\) |
0.548598 | + | 0.836086i | \(0.315162\pi\) | |||||||
\(348\) | −1.43503 | + | 5.93607i | −0.0769257 | + | 0.318207i | ||||
\(349\) | 3.06654 | − | 3.06654i | 0.164148 | − | 0.164148i | −0.620253 | − | 0.784402i | \(-0.712970\pi\) |
0.784402 | + | 0.620253i | \(0.212970\pi\) | |||||||
\(350\) | −10.2980 | − | 5.92196i | −0.550451 | − | 0.316542i | ||||
\(351\) | 33.6660 | 1.79696 | ||||||||
\(352\) | 1.46915 | − | 1.57680i | 0.0783061 | − | 0.0840439i | ||||
\(353\) | 6.30378 | − | 19.4010i | 0.335516 | − | 1.03261i | −0.630951 | − | 0.775823i | \(-0.717335\pi\) |
0.966467 | − | 0.256790i | \(-0.0826649\pi\) | |||||||
\(354\) | −16.3924 | + | 17.7052i | −0.871247 | + | 0.941020i | ||||
\(355\) | −19.2260 | + | 2.17247i | −1.02041 | + | 0.115303i | ||||
\(356\) | −17.1421 | − | 10.5419i | −0.908532 | − | 0.558722i | ||||
\(357\) | −8.27427 | − | 8.27427i | −0.437921 | − | 0.437921i | ||||
\(358\) | 4.40477 | + | 5.59650i | 0.232799 | + | 0.295784i | ||||
\(359\) | −3.58436 | + | 4.93344i | −0.189175 | + | 0.260377i | −0.893061 | − | 0.449936i | \(-0.851447\pi\) |
0.703886 | + | 0.710313i | \(0.251447\pi\) | |||||||
\(360\) | 2.22179 | + | 5.48222i | 0.117099 | + | 0.288939i | ||||
\(361\) | 15.2468 | + | 20.9854i | 0.802462 | + | 1.10449i | ||||
\(362\) | −2.14614 | + | 7.58673i | −0.112799 | + | 0.398750i | ||||
\(363\) | −2.43997 | − | 15.4054i | −0.128065 | − | 0.808573i | ||||
\(364\) | 10.4253 | + | 17.0729i | 0.546432 | + | 0.894861i | ||||
\(365\) | −21.0582 | − | 11.9400i | −1.10224 | − | 0.624967i | ||||
\(366\) | 15.3200 | − | 8.56375i | 0.800789 | − | 0.447634i | ||||
\(367\) | 2.84795 | + | 8.76509i | 0.148662 | + | 0.457534i | 0.997464 | − | 0.0711771i | \(-0.0226756\pi\) |
−0.848802 | + | 0.528711i | \(0.822676\pi\) | |||||||
\(368\) | −27.1011 | − | 4.38006i | −1.41274 | − | 0.228327i | ||||
\(369\) | 0.328808 | + | 1.01197i | 0.0171171 | + | 0.0526810i | ||||
\(370\) | −3.31352 | − | 3.35405i | −0.172262 | − | 0.174369i | ||||
\(371\) | −10.6982 | − | 20.9965i | −0.555425 | − | 1.09008i | ||||
\(372\) | −6.22811 | + | 14.9692i | −0.322912 | + | 0.776115i | ||||
\(373\) | −16.1099 | − | 2.55155i | −0.834136 | − | 0.132114i | −0.275265 | − | 0.961368i | \(-0.588766\pi\) |
−0.558872 | + | 0.829254i | \(0.688766\pi\) | |||||||
\(374\) | 0.902032 | + | 2.45101i | 0.0466429 | + | 0.126739i | ||||
\(375\) | 15.8042 | − | 2.88368i | 0.816125 | − | 0.148912i | ||||
\(376\) | −4.76565 | − | 17.0520i | −0.245770 | − | 0.879391i | ||||
\(377\) | 7.43665 | + | 10.2357i | 0.383007 | + | 0.527164i | ||||
\(378\) | −0.516858 | − | 13.4248i | −0.0265843 | − | 0.690495i | ||||
\(379\) | −27.1502 | + | 13.8337i | −1.39461 | + | 0.710591i | −0.979924 | − | 0.199373i | \(-0.936110\pi\) |
−0.414689 | + | 0.909963i | \(0.636110\pi\) | |||||||
\(380\) | −28.1974 | + | 10.1831i | −1.44649 | + | 0.522382i | ||||
\(381\) | −10.3707 | − | 5.28413i | −0.531306 | − | 0.270714i | ||||
\(382\) | 5.39008 | + | 2.49002i | 0.275781 | + | 0.127400i | ||||
\(383\) | −2.76665 | − | 8.51487i | −0.141369 | − | 0.435089i | 0.855157 | − | 0.518369i | \(-0.173461\pi\) |
−0.996526 | + | 0.0832795i | \(0.973461\pi\) | |||||||
\(384\) | −15.6705 | + | 4.32631i | −0.799683 | + | 0.220776i | ||||
\(385\) | −0.381189 | − | 1.37949i | −0.0194272 | − | 0.0703053i | ||||
\(386\) | 20.5391 | − | 4.06865i | 1.04541 | − | 0.207089i | ||||
\(387\) | 6.52123 | − | 1.03286i | 0.331493 | − | 0.0525033i | ||||
\(388\) | −1.79633 | − | 23.2941i | −0.0911946 | − | 1.18258i | ||||
\(389\) | 32.8886 | + | 5.20905i | 1.66752 | + | 0.264109i | 0.917625 | − | 0.397447i | \(-0.130104\pi\) |
0.749895 | + | 0.661556i | \(0.230104\pi\) | |||||||
\(390\) | −25.6775 | − | 8.51606i | −1.30023 | − | 0.431227i | ||||
\(391\) | 19.5548 | − | 26.9149i | 0.988929 | − | 1.36114i | ||||
\(392\) | −9.84025 | + | 6.54143i | −0.497008 | + | 0.330392i | ||||
\(393\) | 2.20773i | 0.111365i | ||||||||
\(394\) | 21.7635 | − | 17.1291i | 1.09643 | − | 0.862952i | ||||
\(395\) | −2.04904 | − | 18.1337i | −0.103098 | − | 0.912406i | ||||
\(396\) | −0.273762 | + | 0.657983i | −0.0137571 | + | 0.0330649i | ||||
\(397\) | −8.71367 | − | 17.1015i | −0.437327 | − | 0.858302i | −0.999510 | − | 0.0312895i | \(-0.990039\pi\) |
0.562184 | − | 0.827012i | \(-0.309961\pi\) | |||||||
\(398\) | 1.36192 | + | 6.87517i | 0.0682670 | + | 0.344621i | ||||
\(399\) | 16.1826 | 0.810145 | ||||||||
\(400\) | −1.29518 | − | 19.9580i | −0.0647588 | − | 0.997901i | ||||
\(401\) | −2.74609 | −0.137133 | −0.0685667 | − | 0.997647i | \(-0.521843\pi\) | ||||
−0.0685667 | + | 0.997647i | \(0.521843\pi\) | |||||||
\(402\) | 0.782692 | + | 3.95114i | 0.0390371 | + | 0.197065i | ||||
\(403\) | 15.2489 | + | 29.9277i | 0.759603 | + | 1.49081i | ||||
\(404\) | −1.84746 | − | 0.768659i | −0.0919145 | − | 0.0382422i | ||||
\(405\) | 8.02760 | + | 8.77691i | 0.398895 | + | 0.436128i | ||||
\(406\) | 3.96744 | − | 3.12261i | 0.196901 | − | 0.154972i | ||||
\(407\) | − | 0.568022i | − | 0.0281558i | ||||||
\(408\) | 3.88912 | − | 19.3130i | 0.192540 | − | 0.956138i | ||||
\(409\) | 10.8513 | − | 14.9356i | 0.536565 | − | 0.738518i | −0.451549 | − | 0.892247i | \(-0.649128\pi\) |
0.988113 | + | 0.153729i | \(0.0491282\pi\) | |||||||
\(410\) | 0.0218706 | − | 3.59752i | 0.00108011 | − | 0.177669i | ||||
\(411\) | 10.4210 | + | 1.65052i | 0.514028 | + | 0.0814140i | ||||
\(412\) | 13.4388 | − | 1.03633i | 0.662080 | − | 0.0510563i | ||||
\(413\) | 19.7021 | − | 3.12051i | 0.969479 | − | 0.153550i | ||||
\(414\) | 8.90496 | − | 1.76401i | 0.437655 | − | 0.0866963i | ||||
\(415\) | 16.7758 | + | 0.748035i | 0.823491 | + | 0.0367196i | ||||
\(416\) | −14.2205 | + | 30.5296i | −0.697220 | + | 1.49684i | ||||
\(417\) | 6.49798 | + | 19.9987i | 0.318207 | + | 0.979341i | ||||
\(418\) | −3.27891 | − | 1.51473i | −0.160377 | − | 0.0740881i | ||||
\(419\) | 3.91947 | + | 1.99707i | 0.191479 | + | 0.0975633i | 0.547101 | − | 0.837066i | \(-0.315731\pi\) |
−0.355623 | + | 0.934630i | \(0.615731\pi\) | |||||||
\(420\) | −3.00168 | + | 10.3700i | −0.146467 | + | 0.506005i | ||||
\(421\) | −20.7500 | + | 10.5726i | −1.01129 | + | 0.515279i | −0.879450 | − | 0.475992i | \(-0.842089\pi\) |
−0.131842 | + | 0.991271i | \(0.542089\pi\) | |||||||
\(422\) | 0.524848 | + | 13.6323i | 0.0255492 | + | 0.663610i | ||||
\(423\) | 3.44136 | + | 4.73662i | 0.167325 | + | 0.230302i | ||||
\(424\) | 19.4673 | − | 34.5693i | 0.945416 | − | 1.67883i | ||||
\(425\) | 22.2927 | + | 9.51151i | 1.08135 | + | 0.461376i | ||||
\(426\) | 6.07290 | + | 16.5014i | 0.294233 | + | 0.799494i | ||||
\(427\) | −14.3313 | − | 2.26986i | −0.693542 | − | 0.109846i | ||||
\(428\) | −3.31237 | − | 1.37815i | −0.160109 | − | 0.0666156i | ||||
\(429\) | −1.47967 | − | 2.90402i | −0.0714392 | − | 0.140207i | ||||
\(430\) | −22.0269 | − | 3.62612i | −1.06223 | − | 0.174867i | ||||
\(431\) | 2.42604 | + | 7.46659i | 0.116858 | + | 0.359653i | 0.992330 | − | 0.123616i | \(-0.0394492\pi\) |
−0.875472 | + | 0.483269i | \(0.839449\pi\) | |||||||
\(432\) | 18.3407 | − | 13.2371i | 0.882417 | − | 0.636871i | ||||
\(433\) | −10.6389 | − | 32.7431i | −0.511272 | − | 1.57353i | −0.789964 | − | 0.613153i | \(-0.789901\pi\) |
0.278692 | − | 0.960380i | \(-0.410099\pi\) | |||||||
\(434\) | 11.7000 | − | 6.54018i | 0.561616 | − | 0.313939i | ||||
\(435\) | −1.36747 | + | 6.68957i | −0.0655652 | + | 0.320740i | ||||
\(436\) | −8.23094 | + | 5.02609i | −0.394191 | + | 0.240706i | ||||
\(437\) | 7.19734 | + | 45.4422i | 0.344295 | + | 2.17380i | ||||
\(438\) | −5.98824 | + | 21.1688i | −0.286129 | + | 1.01148i | ||||
\(439\) | 18.9919 | + | 26.1400i | 0.906432 | + | 1.24760i | 0.968371 | + | 0.249516i | \(0.0802716\pi\) |
−0.0619388 | + | 0.998080i | \(0.519728\pi\) | |||||||
\(440\) | 1.57886 | − | 1.82020i | 0.0752690 | − | 0.0867744i | ||||
\(441\) | 2.29667 | − | 3.16109i | 0.109365 | − | 0.150528i | ||||
\(442\) | −25.2424 | − | 32.0718i | −1.20066 | − | 1.52550i | ||||
\(443\) | 10.0487 | + | 10.0487i | 0.477426 | + | 0.477426i | 0.904308 | − | 0.426882i | \(-0.140388\pi\) |
−0.426882 | + | 0.904308i | \(0.640388\pi\) | |||||||
\(444\) | −2.24450 | + | 3.64976i | −0.106519 | + | 0.173210i | ||||
\(445\) | −19.5724 | − | 11.0975i | −0.927819 | − | 0.526071i | ||||
\(446\) | 14.1730 | − | 15.3080i | 0.671109 | − | 0.724854i | ||||
\(447\) | −1.73221 | + | 5.33119i | −0.0819307 | + | 0.252157i | ||||
\(448\) | 12.3924 | + | 5.20193i | 0.585486 | + | 0.245768i | ||||
\(449\) | −0.885267 | −0.0417783 | −0.0208892 | − | 0.999782i | \(-0.506650\pi\) | ||||
−0.0208892 | + | 0.999782i | \(0.506650\pi\) | |||||||
\(450\) | 2.70036 | + | 6.03713i | 0.127296 | + | 0.284593i | ||||
\(451\) | 0.306479 | − | 0.306479i | 0.0144315 | − | 0.0144315i | ||||
\(452\) | −38.6204 | − | 9.33639i | −1.81655 | − | 0.439147i | ||||
\(453\) | 16.0145 | − | 8.15980i | 0.752428 | − | 0.383381i | ||||
\(454\) | −0.512685 | − | 13.3164i | −0.0240615 | − | 0.624969i | ||||
\(455\) | 12.3270 | + | 18.6616i | 0.577898 | + | 0.874871i | ||||
\(456\) | 15.0829 | + | 22.6892i | 0.706321 | + | 1.06252i | ||||
\(457\) | − | 1.84633i | − | 0.0863675i | −0.999067 | − | 0.0431837i | \(-0.986250\pi\) | ||
0.999067 | − | 0.0431837i | \(-0.0137501\pi\) | |||||||
\(458\) | 13.9195 | − | 10.9554i | 0.650414 | − | 0.511914i | ||||
\(459\) | 4.28793 | + | 27.0729i | 0.200143 | + | 1.26365i | ||||
\(460\) | −30.4549 | − | 3.81684i | −1.41997 | − | 0.177961i | ||||
\(461\) | −5.87996 | + | 37.1246i | −0.273857 | + | 1.72906i | 0.340682 | + | 0.940179i | \(0.389342\pi\) |
−0.614539 | + | 0.788886i | \(0.710658\pi\) | |||||||
\(462\) | −1.13530 | + | 0.634623i | −0.0528189 | + | 0.0295253i | ||||
\(463\) | 23.9626 | + | 17.4098i | 1.11364 | + | 0.809104i | 0.983232 | − | 0.182357i | \(-0.0583726\pi\) |
0.130404 | + | 0.991461i | \(0.458373\pi\) | |||||||
\(464\) | 8.07593 | + | 2.65222i | 0.374916 | + | 0.123126i | ||||
\(465\) | −6.36389 | + | 16.9730i | −0.295118 | + | 0.787104i | ||||
\(466\) | 6.37806 | − | 3.56528i | 0.295458 | − | 0.165159i | ||||
\(467\) | −0.00504893 | − | 0.00257256i | −0.000233636 | − | 0.000119044i | 0.453874 | − | 0.891066i | \(-0.350042\pi\) |
−0.454107 | + | 0.890947i | \(0.650042\pi\) | |||||||
\(468\) | 0.891299 | − | 11.1012i | 0.0412003 | − | 0.513152i | ||||
\(469\) | 1.51179 | − | 2.96705i | 0.0698078 | − | 0.137006i | ||||
\(470\) | −6.00252 | − | 18.8633i | −0.276876 | − | 0.870098i | ||||
\(471\) | −15.7330 | − | 5.11198i | −0.724940 | − | 0.235547i | ||||
\(472\) | 22.7384 | + | 24.7153i | 1.04662 | + | 1.13761i | ||||
\(473\) | −1.58082 | − | 2.17582i | −0.0726864 | − | 0.100044i | ||||
\(474\) | −15.5639 | + | 5.72788i | −0.714873 | + | 0.263090i | ||||
\(475\) | −31.1010 | + | 12.4986i | −1.42701 | + | 0.573473i | ||||
\(476\) | −12.4015 | + | 10.5581i | −0.568423 | + | 0.483931i | ||||
\(477\) | −2.05230 | + | 12.9577i | −0.0939683 | + | 0.593292i | ||||
\(478\) | −4.76982 | + | 5.15181i | −0.218167 | + | 0.235638i | ||||
\(479\) | 3.67571 | − | 11.3127i | 0.167947 | − | 0.516889i | −0.831294 | − | 0.555833i | \(-0.812399\pi\) |
0.999241 | + | 0.0389441i | \(0.0123994\pi\) | |||||||
\(480\) | −17.3372 | + | 5.45672i | −0.791329 | + | 0.249064i | ||||
\(481\) | 2.74301 | + | 8.44212i | 0.125071 | + | 0.384928i | ||||
\(482\) | −6.90917 | − | 3.19178i | −0.314704 | − | 0.145382i | ||||
\(483\) | 14.7619 | + | 7.52157i | 0.671690 | + | 0.342243i | ||||
\(484\) | −21.6454 | + | 1.66919i | −0.983884 | + | 0.0758722i | ||||
\(485\) | −2.93290 | − | 25.9558i | −0.133176 | − | 1.17859i | ||||
\(486\) | −7.33177 | + | 10.9541i | −0.332576 | + | 0.496886i | ||||
\(487\) | 5.09468 | − | 7.01223i | 0.230862 | − | 0.317754i | −0.677832 | − | 0.735217i | \(-0.737080\pi\) |
0.908694 | + | 0.417462i | \(0.137080\pi\) | |||||||
\(488\) | −10.1749 | − | 22.2091i | −0.460596 | − | 1.00536i | ||||
\(489\) | 3.32699 | + | 4.57921i | 0.150452 | + | 0.207079i | ||||
\(490\) | −10.7348 | + | 7.70001i | −0.484948 | + | 0.347851i | ||||
\(491\) | −4.64799 | − | 29.3463i | −0.209761 | − | 1.32438i | −0.837706 | − | 0.546121i | \(-0.816104\pi\) |
0.627945 | − | 0.778258i | \(-0.283896\pi\) | |||||||
\(492\) | −3.18028 | + | 0.758216i | −0.143378 | + | 0.0341830i | ||||
\(493\) | −7.28396 | + | 7.28396i | −0.328053 | + | 0.328053i | ||||
\(494\) | 56.0469 | + | 6.67841i | 2.52167 | + | 0.300476i | ||||
\(495\) | −0.279730 | + | 0.746063i | −0.0125729 | + | 0.0335330i | ||||
\(496\) | 20.0746 | + | 10.3084i | 0.901378 | + | 0.462862i | ||||
\(497\) | 4.49209 | − | 13.8252i | 0.201498 | − | 0.620146i | ||||
\(498\) | −2.96540 | − | 14.9698i | −0.132883 | − | 0.670812i | ||||
\(499\) | 10.7270 | − | 10.7270i | 0.480207 | − | 0.480207i | −0.424990 | − | 0.905198i | \(-0.639723\pi\) |
0.905198 | + | 0.424990i | \(0.139723\pi\) | |||||||
\(500\) | −2.24036 | − | 22.2482i | −0.100192 | − | 0.994968i | ||||
\(501\) | −8.12812 | − | 8.12812i | −0.363138 | − | 0.363138i | ||||
\(502\) | −32.8750 | − | 22.0039i | −1.46728 | − | 0.982080i | ||||
\(503\) | −28.8279 | − | 9.36675i | −1.28537 | − | 0.417643i | −0.414903 | − | 0.909865i | \(-0.636185\pi\) |
−0.870469 | + | 0.492223i | \(0.836185\pi\) | |||||||
\(504\) | −4.44042 | − | 0.184987i | −0.197792 | − | 0.00823996i | ||||
\(505\) | −2.09477 | − | 0.785416i | −0.0932159 | − | 0.0349506i | ||||
\(506\) | −2.28701 | − | 2.90576i | −0.101670 | − | 0.129177i | ||||
\(507\) | 22.8064 | + | 22.8064i | 1.01287 | + | 1.01287i | ||||
\(508\) | −8.48650 | + | 13.7998i | −0.376527 | + | 0.612267i | ||||
\(509\) | 28.3211 | − | 4.48562i | 1.25531 | − | 0.198822i | 0.506869 | − | 0.862023i | \(-0.330803\pi\) |
0.748441 | + | 0.663201i | \(0.230803\pi\) | |||||||
\(510\) | 3.57783 | − | 21.7336i | 0.158429 | − | 0.962379i | ||||
\(511\) | 14.7141 | − | 10.6904i | 0.650913 | − | 0.472916i | ||||
\(512\) | 4.25678 | + | 22.2234i | 0.188125 | + | 0.982145i | ||||
\(513\) | −30.6674 | − | 22.2812i | −1.35400 | − | 0.983739i | ||||
\(514\) | 7.82186 | − | 1.54945i | 0.345008 | − | 0.0683435i | ||||
\(515\) | 14.9743 | − | 1.69204i | 0.659847 | − | 0.0745602i | ||||
\(516\) | 1.55981 | + | 20.2270i | 0.0686666 | + | 0.890445i | ||||
\(517\) | 1.08271 | − | 2.12494i | 0.0476177 | − | 0.0934549i | ||||
\(518\) | 3.32430 | − | 1.22342i | 0.146061 | − | 0.0537540i | ||||
\(519\) | −4.01813 | + | 1.30557i | −0.176376 | + | 0.0573082i | ||||
\(520\) | −14.6756 | + | 34.6767i | −0.643568 | + | 1.52067i | ||||
\(521\) | 6.07194 | + | 1.97289i | 0.266017 | + | 0.0864340i | 0.438988 | − | 0.898493i | \(-0.355337\pi\) |
−0.172972 | + | 0.984927i | \(0.555337\pi\) | |||||||
\(522\) | −2.80877 | + | 0.108139i | −0.122937 | + | 0.00473310i | ||||
\(523\) | −30.8386 | − | 4.88436i | −1.34848 | − | 0.213578i | −0.559925 | − | 0.828543i | \(-0.689170\pi\) |
−0.788554 | + | 0.614965i | \(0.789170\pi\) | |||||||
\(524\) | 3.06304 | + | 0.245928i | 0.133809 | + | 0.0107434i | ||||
\(525\) | −2.94170 | + | 11.7060i | −0.128387 | + | 0.510891i | ||||
\(526\) | −17.3836 | + | 37.6298i | −0.757959 | + | 1.64074i | ||||
\(527\) | −22.1245 | + | 16.0744i | −0.963759 | + | 0.700212i | ||||
\(528\) | −1.94793 | − | 1.00027i | −0.0847728 | − | 0.0435313i | ||||
\(529\) | −7.44835 | + | 22.9237i | −0.323841 | + | 0.996681i | ||||
\(530\) | 20.3774 | − | 39.3989i | 0.885138 | − | 1.71138i | ||||
\(531\) | −9.89501 | − | 5.04176i | −0.429407 | − | 0.218794i | ||||
\(532\) | 1.80264 | − | 22.4520i | 0.0781546 | − | 0.973418i | ||||
\(533\) | −3.07499 | + | 6.03500i | −0.133192 | + | 0.261405i | ||||
\(534\) | −5.56571 | + | 19.6751i | −0.240852 | + | 0.851426i | ||||
\(535\) | −3.75578 | − | 1.40820i | −0.162376 | − | 0.0608817i | ||||
\(536\) | 5.56905 | − | 0.645785i | 0.240546 | − | 0.0278937i | ||||
\(537\) | 4.25338 | − | 5.85428i | 0.183547 | − | 0.252631i | ||||
\(538\) | −19.4325 | − | 5.49709i | −0.837797 | − | 0.236996i | ||||
\(539\) | −1.57201 | − | 0.248982i | −0.0677112 | − | 0.0107244i | ||||
\(540\) | 19.9665 | − | 15.5191i | 0.859220 | − | 0.667837i | ||||
\(541\) | 4.71513 | − | 0.746804i | 0.202719 | − | 0.0321076i | −0.0542488 | − | 0.998527i | \(-0.517276\pi\) |
0.256968 | + | 0.966420i | \(0.417276\pi\) | |||||||
\(542\) | −3.59277 | + | 30.1515i | −0.154323 | + | 1.29512i | ||||
\(543\) | 8.01096 | 0.343783 | ||||||||
\(544\) | −26.3620 | − | 7.54717i | −1.13026 | − | 0.323582i | ||||
\(545\) | −8.99690 | + | 5.94292i | −0.385385 | + | 0.254567i | ||||
\(546\) | 13.8086 | − | 14.9144i | 0.590951 | − | 0.638277i | ||||
\(547\) | 12.7972 | + | 25.1160i | 0.547170 | + | 1.07388i | 0.984631 | + | 0.174645i | \(0.0558778\pi\) |
−0.437461 | + | 0.899237i | \(0.644122\pi\) | |||||||
\(548\) | 3.45078 | − | 14.2743i | 0.147410 | − | 0.609769i | ||||
\(549\) | 5.71207 | + | 5.71207i | 0.243785 | + | 0.243785i | ||||
\(550\) | 1.69175 | − | 2.09651i | 0.0721367 | − | 0.0893953i | ||||
\(551\) | − | 14.2458i | − | 0.606892i | ||||||
\(552\) | 3.21297 | + | 27.7076i | 0.136753 | + | 1.17932i | ||||
\(553\) | 13.0398 | + | 4.23688i | 0.554507 | + | 0.180170i | ||||
\(554\) | 19.5716 | − | 0.753512i | 0.831517 | − | 0.0320137i | ||||
\(555\) | −2.36279 | + | 4.16719i | −0.100295 | + | 0.176887i | ||||
\(556\) | 28.4703 | − | 6.78765i | 1.20741 | − | 0.287860i | ||||
\(557\) | 16.5850 | − | 16.5850i | 0.702728 | − | 0.702728i | −0.262267 | − | 0.964995i | \(-0.584470\pi\) |
0.964995 | + | 0.262267i | \(0.0844702\pi\) | |||||||
\(558\) | −7.40987 | − | 0.882941i | −0.313685 | − | 0.0373779i | ||||
\(559\) | 34.0019 | + | 24.7038i | 1.43813 | + | 1.04486i | ||||
\(560\) | 14.0531 | + | 5.31972i | 0.593853 | + | 0.224799i | ||||
\(561\) | 2.14684 | − | 1.55977i | 0.0906397 | − | 0.0658536i | ||||
\(562\) | 6.52743 | − | 3.64878i | 0.275343 | − | 0.153914i | ||||
\(563\) | 14.8118 | − | 2.34597i | 0.624245 | − | 0.0988707i | 0.163705 | − | 0.986509i | \(-0.447656\pi\) |
0.460540 | + | 0.887639i | \(0.347656\pi\) | |||||||
\(564\) | −15.3534 | + | 9.37532i | −0.646496 | + | 0.394772i | ||||
\(565\) | −43.5227 | − | 8.89684i | −1.83102 | − | 0.374293i | ||||
\(566\) | −3.82147 | + | 13.5091i | −0.160628 | + | 0.567831i | ||||
\(567\) | −8.49905 | + | 2.76151i | −0.356927 | + | 0.115972i | ||||
\(568\) | 23.5707 | − | 6.58747i | 0.989005 | − | 0.276404i | ||||
\(569\) | −12.7278 | + | 4.13552i | −0.533578 | + | 0.173370i | −0.563399 | − | 0.826185i | \(-0.690506\pi\) |
0.0298205 | + | 0.999555i | \(0.490506\pi\) | |||||||
\(570\) | 17.7543 | + | 24.7518i | 0.743646 | + | 1.03674i | ||||
\(571\) | 6.91596 | − | 3.52386i | 0.289424 | − | 0.147469i | −0.303251 | − | 0.952911i | \(-0.598072\pi\) |
0.592675 | + | 0.805442i | \(0.298072\pi\) | |||||||
\(572\) | −4.19390 | + | 1.72943i | −0.175356 | + | 0.0723109i | ||||
\(573\) | 0.943725 | − | 5.95844i | 0.0394247 | − | 0.248918i | ||||
\(574\) | 2.45375 | + | 1.13354i | 0.102417 | + | 0.0473130i | ||||
\(575\) | −34.1798 | − | 3.05423i | −1.42539 | − | 0.127370i | ||||
\(576\) | −3.87930 | − | 6.39819i | −0.161637 | − | 0.266591i | ||||
\(577\) | 3.32777 | − | 2.41777i | 0.138537 | − | 0.100653i | −0.516358 | − | 0.856373i | \(-0.672713\pi\) |
0.654895 | + | 0.755720i | \(0.272713\pi\) | |||||||
\(578\) | 6.24249 | − | 6.74241i | 0.259653 | − | 0.280447i | ||||
\(579\) | −9.65831 | − | 18.9555i | −0.401386 | − | 0.787763i | ||||
\(580\) | 9.12887 | + | 2.64242i | 0.379056 | + | 0.109721i | ||||
\(581\) | −5.72774 | + | 11.2413i | −0.237627 | + | 0.466368i | ||||
\(582\) | −22.2774 | + | 8.19863i | −0.923430 | + | 0.339844i | ||||
\(583\) | 5.08241 | − | 1.65138i | 0.210492 | − | 0.0683930i | ||||
\(584\) | 28.7028 | + | 10.6662i | 1.18773 | + | 0.441372i | ||||
\(585\) | 0.554659 | − | 12.4391i | 0.0229323 | − | 0.514292i | ||||
\(586\) | −32.0967 | − | 21.4829i | −1.32590 | − | 0.887452i | ||||
\(587\) | −7.32875 | − | 46.2719i | −0.302490 | − | 1.90985i | −0.403537 | − | 0.914963i | \(-0.632219\pi\) |
0.101047 | − | 0.994882i | \(-0.467781\pi\) | |||||||
\(588\) | 9.11693 | + | 7.81149i | 0.375976 | + | 0.322141i | ||||
\(589\) | 5.91635 | − | 37.3543i | 0.243779 | − | 1.53916i | ||||
\(590\) | 26.3885 | + | 26.7113i | 1.08640 | + | 1.09969i | ||||
\(591\) | −22.7659 | − | 16.5404i | −0.936464 | − | 0.680381i | ||||
\(592\) | 4.81370 | + | 3.52061i | 0.197842 | + | 0.144696i | ||||
\(593\) | 16.1085 | 0.661497 | 0.330748 | − | 0.943719i | \(-0.392699\pi\) | ||||
0.330748 | + | 0.943719i | \(0.392699\pi\) | |||||||
\(594\) | 3.02527 | + | 0.360484i | 0.124128 | + | 0.0147908i | ||||
\(595\) | −13.4369 | + | 12.2898i | −0.550861 | + | 0.503832i | ||||
\(596\) | 7.20361 | + | 2.99715i | 0.295071 | + | 0.122768i | ||||
\(597\) | 6.34507 | − | 3.23297i | 0.259686 | − | 0.132317i | ||||
\(598\) | 48.0223 | + | 32.1423i | 1.96378 | + | 1.31440i | ||||
\(599\) | 23.0804i | 0.943038i | 0.881856 | + | 0.471519i | \(0.156294\pi\) | ||||
−0.881856 | + | 0.471519i | \(0.843706\pi\) | |||||||
\(600\) | −19.1544 | + | 6.78601i | −0.781975 | + | 0.277038i | ||||
\(601\) | − | 2.41261i | − | 0.0984124i | −0.998789 | − | 0.0492062i | \(-0.984331\pi\) | ||
0.998789 | − | 0.0492062i | \(-0.0156691\pi\) | |||||||
\(602\) | 9.32897 | − | 13.9380i | 0.380220 | − | 0.568070i | ||||
\(603\) | −1.65183 | + | 0.841652i | −0.0672679 | + | 0.0342747i | ||||
\(604\) | −9.53710 | − | 23.1277i | −0.388059 | − | 0.941053i | ||||
\(605\) | −24.1187 | + | 2.72532i | −0.980565 | + | 0.110800i | ||||
\(606\) | −0.240557 | + | 2.01881i | −0.00977195 | + | 0.0820087i | ||||
\(607\) | 17.0014 | 0.690065 | 0.345033 | − | 0.938591i | \(-0.387868\pi\) | ||||
0.345033 | + | 0.938591i | \(0.387868\pi\) | |||||||
\(608\) | 33.1594 | − | 18.3988i | 1.34479 | − | 0.746169i | ||||
\(609\) | −4.15018 | − | 3.01529i | −0.168174 | − | 0.122186i | ||||
\(610\) | −12.2514 | − | 24.4105i | −0.496045 | − | 0.988350i | ||||
\(611\) | −5.83014 | + | 36.8101i | −0.235862 | + | 1.48918i | ||||
\(612\) | 9.04066 | − | 0.697170i | 0.365447 | − | 0.0281814i | ||||
\(613\) | 6.47695 | + | 40.8939i | 0.261602 | + | 1.65169i | 0.672566 | + | 0.740037i | \(0.265192\pi\) |
−0.410965 | + | 0.911651i | \(0.634808\pi\) | |||||||
\(614\) | 19.4228 | − | 29.0187i | 0.783840 | − | 1.17110i | ||||
\(615\) | −3.52328 | + | 0.973575i | −0.142072 | + | 0.0392583i | ||||
\(616\) | 0.754019 | + | 1.64582i | 0.0303803 | + | 0.0663121i | ||||
\(617\) | 15.8170 | − | 5.13924i | 0.636767 | − | 0.206898i | 0.0271965 | − | 0.999630i | \(-0.491342\pi\) |
0.609570 | + | 0.792732i | \(0.291342\pi\) | |||||||
\(618\) | −4.72992 | − | 12.8522i | −0.190265 | − | 0.516992i | ||||
\(619\) | −9.59289 | + | 18.8271i | −0.385571 | + | 0.756725i | −0.999466 | − | 0.0326621i | \(-0.989601\pi\) |
0.613896 | + | 0.789387i | \(0.289601\pi\) | |||||||
\(620\) | 22.8397 | + | 10.7200i | 0.917263 | + | 0.430527i | ||||
\(621\) | −17.6189 | − | 34.5791i | −0.707023 | − | 1.38761i | ||||
\(622\) | −14.1407 | − | 13.0922i | −0.566989 | − | 0.524949i | ||||
\(623\) | 13.6759 | − | 9.93609i | 0.547911 | − | 0.398081i | ||||
\(624\) | 33.7812 | + | 5.45969i | 1.35233 | + | 0.218563i | ||||
\(625\) | −3.38747 | − | 24.7694i | −0.135499 | − | 0.990778i | ||||
\(626\) | 19.4469 | − | 42.0962i | 0.777253 | − | 1.68250i | ||||
\(627\) | −0.574089 | + | 3.62466i | −0.0229269 | + | 0.144755i | ||||
\(628\) | −8.84498 | + | 21.2588i | −0.352953 | + | 0.848318i | ||||
\(629\) | −6.43947 | + | 3.28107i | −0.256758 | + | 0.130825i | ||||
\(630\) | −4.96876 | − | 0.0302068i | −0.197960 | − | 0.00120347i | ||||
\(631\) | 3.45870 | − | 1.12380i | 0.137689 | − | 0.0447377i | −0.239362 | − | 0.970930i | \(-0.576938\pi\) |
0.377051 | + | 0.926193i | \(0.376938\pi\) | |||||||
\(632\) | 6.21322 | + | 22.2316i | 0.247149 | + | 0.884325i | ||||
\(633\) | 13.1829 | − | 4.28338i | 0.523973 | − | 0.170249i | ||||
\(634\) | −16.2858 | − | 4.60694i | −0.646791 | − | 0.182965i | ||||
\(635\) | −8.93372 | + | 15.7562i | −0.354524 | + | 0.625265i | ||||
\(636\) | −39.1818 | − | 9.47210i | −1.55366 | − | 0.375593i | ||||
\(637\) | 24.5660 | − | 3.89087i | 0.973341 | − | 0.154162i | ||||
\(638\) | 0.558668 | + | 0.999421i | 0.0221179 | + | 0.0395675i | ||||
\(639\) | −6.54735 | + | 4.75693i | −0.259009 | + | 0.188181i | ||||
\(640\) | 5.63948 | + | 24.6616i | 0.222920 | + | 0.974837i | ||||
\(641\) | 30.2838 | + | 22.0025i | 1.19614 | + | 0.869046i | 0.993899 | − | 0.110290i | \(-0.0351780\pi\) |
0.202240 | + | 0.979336i | \(0.435178\pi\) | |||||||
\(642\) | −0.431302 | + | 3.61960i | −0.0170221 | + | 0.142854i | ||||
\(643\) | 7.39178 | − | 7.39178i | 0.291503 | − | 0.291503i | −0.546171 | − | 0.837674i | \(-0.683915\pi\) |
0.837674 | + | 0.546171i | \(0.183915\pi\) | |||||||
\(644\) | 12.0799 | − | 19.6430i | 0.476015 | − | 0.774043i | ||||
\(645\) | 2.54673 | + | 22.5382i | 0.100278 | + | 0.887441i | ||||
\(646\) | 1.76799 | + | 45.9214i | 0.0695607 | + | 1.80675i | ||||
\(647\) | 23.8367 | + | 7.74501i | 0.937117 | + | 0.304488i | 0.737470 | − | 0.675380i | \(-0.236020\pi\) |
0.199647 | + | 0.979868i | \(0.436020\pi\) | |||||||
\(648\) | −11.7933 | − | 9.34241i | −0.463284 | − | 0.367004i | ||||
\(649\) | 4.52367i | 0.177570i | ||||||||
\(650\) | −15.0192 | + | 39.3285i | −0.589103 | + | 1.54259i | ||||
\(651\) | −9.63005 | − | 9.63005i | −0.377431 | − | 0.377431i | ||||
\(652\) | 6.72386 | − | 4.10581i | 0.263327 | − | 0.160796i | ||||
\(653\) | −16.3472 | − | 32.0831i | −0.639714 | − | 1.25551i | −0.952167 | − | 0.305577i | \(-0.901151\pi\) |
0.312453 | − | 0.949933i | \(-0.398849\pi\) | |||||||
\(654\) | 7.19033 | + | 6.65719i | 0.281164 | + | 0.260317i | ||||
\(655\) | 3.43219 | + | 0.153042i | 0.134107 | + | 0.00597983i | ||||
\(656\) | 0.697695 | + | 4.49683i | 0.0272404 | + | 0.175572i | ||||
\(657\) | −10.1255 | −0.395034 | ||||||||
\(658\) | 14.7680 | + | 1.75972i | 0.575718 | + | 0.0686011i | ||||
\(659\) | −41.7882 | + | 6.61859i | −1.62784 | + | 0.257824i | −0.902538 | − | 0.430611i | \(-0.858298\pi\) |
−0.725298 | + | 0.688435i | \(0.758298\pi\) | |||||||
\(660\) | −2.21623 | − | 1.04021i | −0.0862667 | − | 0.0404902i | ||||
\(661\) | −3.73214 | − | 0.591112i | −0.145163 | − | 0.0229916i | 0.0834299 | − | 0.996514i | \(-0.473413\pi\) |
−0.228593 | + | 0.973522i | \(0.573413\pi\) | |||||||
\(662\) | 4.60864 | − | 16.2918i | 0.179120 | − | 0.633199i | ||||
\(663\) | −24.3748 | + | 33.5490i | −0.946639 | + | 1.30294i | ||||
\(664\) | −21.0996 | + | 2.44670i | −0.818823 | + | 0.0949504i | ||||
\(665\) | 1.12179 | − | 25.1579i | 0.0435013 | − | 0.975581i | ||||
\(666\) | −1.89762 | − | 0.536799i | −0.0735311 | − | 0.0208005i | ||||
\(667\) | 6.62135 | − | 12.9951i | 0.256380 | − | 0.503174i | ||||
\(668\) | −12.1825 | + | 10.3716i | −0.471354 | + | 0.401291i | ||||
\(669\) | −18.8861 | − | 9.62295i | −0.730179 | − | 0.372045i | ||||
\(670\) | 6.19679 | − | 0.942894i | 0.239403 | − | 0.0364272i | ||||
\(671\) | 1.01683 | − | 3.12947i | 0.0392541 | − | 0.120812i | ||||
\(672\) | 1.65850 | − | 13.5545i | 0.0639780 | − | 0.522877i | ||||
\(673\) | 27.7570 | − | 20.1667i | 1.06995 | − | 0.777368i | 0.0940505 | − | 0.995567i | \(-0.470018\pi\) |
0.975904 | + | 0.218200i | \(0.0700185\pi\) | |||||||
\(674\) | −26.2662 | − | 12.1340i | −1.01174 | − | 0.467385i | ||||
\(675\) | 21.6923 | − | 18.1335i | 0.834936 | − | 0.697959i | ||||
\(676\) | 34.1824 | − | 29.1014i | 1.31471 | − | 1.11928i | ||||
\(677\) | 31.6140 | + | 5.00716i | 1.21502 | + | 0.192441i | 0.730854 | − | 0.682534i | \(-0.239122\pi\) |
0.484169 | + | 0.874974i | \(0.339122\pi\) | |||||||
\(678\) | 1.55313 | + | 40.3406i | 0.0596476 | + | 1.54927i | ||||
\(679\) | 18.6645 | + | 6.06447i | 0.716279 | + | 0.232733i | ||||
\(680\) | −29.7549 | − | 7.38491i | −1.14105 | − | 0.283198i | ||||
\(681\) | −12.8774 | + | 4.18412i | −0.493463 | + | 0.160336i | ||||
\(682\) | 1.04983 | + | 2.85263i | 0.0402002 | + | 0.109233i | ||||
\(683\) | 11.8432 | − | 23.2437i | 0.453169 | − | 0.889395i | −0.545514 | − | 0.838101i | \(-0.683666\pi\) |
0.998684 | − | 0.0512932i | \(-0.0163343\pi\) | |||||||
\(684\) | −8.15901 | + | 9.52253i | −0.311968 | + | 0.364103i | ||||
\(685\) | 3.28832 | − | 16.0862i | 0.125640 | − | 0.614623i | ||||
\(686\) | −5.16039 | − | 26.0504i | −0.197024 | − | 0.994607i | ||||
\(687\) | −14.5606 | − | 10.5789i | −0.555522 | − | 0.403610i | ||||
\(688\) | 28.2370 | + | 0.0890676i | 1.07652 | + | 0.00339567i | ||||
\(689\) | −67.5618 | + | 49.0865i | −2.57390 | + | 1.87005i | ||||
\(690\) | 4.69117 | + | 30.8308i | 0.178590 | + | 1.17371i | ||||
\(691\) | −36.3998 | + | 5.76517i | −1.38472 | + | 0.219317i | −0.803923 | − | 0.594734i | \(-0.797257\pi\) |
−0.580793 | + | 0.814051i | \(0.697257\pi\) | |||||||
\(692\) | 1.36377 | + | 5.72024i | 0.0518428 | + | 0.217451i | ||||
\(693\) | −0.423297 | − | 0.423297i | −0.0160797 | − | 0.0160797i | ||||
\(694\) | −4.52233 | + | 3.55934i | −0.171665 | + | 0.135111i | ||||
\(695\) | 31.5409 | − | 8.71557i | 1.19641 | − | 0.330600i | ||||
\(696\) | 0.359490 | − | 8.62922i | 0.0136265 | − | 0.327090i | ||||
\(697\) | −5.24477 | − | 1.70413i | −0.198660 | − | 0.0645485i | ||||
\(698\) | −3.41138 | + | 5.09678i | −0.129123 | + | 0.192916i | ||||
\(699\) | −5.24968 | − | 5.24968i | −0.198561 | − | 0.198561i | ||||
\(700\) | 15.9134 | + | 5.38533i | 0.601469 | + | 0.203546i | ||||
\(701\) | −9.16318 | + | 9.16318i | −0.346089 | + | 0.346089i | −0.858650 | − | 0.512562i | \(-0.828697\pi\) |
0.512562 | + | 0.858650i | \(0.328697\pi\) | |||||||
\(702\) | −46.7033 | + | 9.25159i | −1.76270 | + | 0.349179i | ||||
\(703\) | 3.08856 | − | 9.50562i | 0.116487 | − | 0.358511i | ||||
\(704\) | −1.60478 | + | 2.59116i | −0.0604824 | + | 0.0976581i | ||||
\(705\) | −16.7822 | + | 11.0855i | −0.632054 | + | 0.417505i | ||||
\(706\) | −3.41345 | + | 28.6465i | −0.128467 | + | 1.07813i | ||||
\(707\) | 1.18852 | − | 1.18852i | 0.0446988 | − | 0.0446988i | ||||
\(708\) | 17.8750 | − | 29.0664i | 0.671784 | − | 1.09238i | ||||
\(709\) | 0.264073 | + | 1.66729i | 0.00991746 | + | 0.0626164i | 0.992151 | − | 0.125048i | \(-0.0399084\pi\) |
−0.982233 | + | 0.187664i | \(0.939908\pi\) | |||||||
\(710\) | 26.0744 | − | 8.29718i | 0.978554 | − | 0.311387i | ||||
\(711\) | −4.48667 | − | 6.17538i | −0.168263 | − | 0.231595i | ||||
\(712\) | 26.6775 | + | 9.91363i | 0.999783 | + | 0.371529i | ||||
\(713\) | 22.7590 | − | 31.3250i | 0.852330 | − | 1.17313i | ||||
\(714\) | 13.7523 | + | 9.20472i | 0.514669 | + | 0.344478i | ||||
\(715\) | −4.61722 | + | 2.09902i | −0.172674 | + | 0.0784989i | ||||
\(716\) | −7.64850 | − | 6.55333i | −0.285838 | − | 0.244909i | ||||
\(717\) | 6.35601 | + | 3.23855i | 0.237370 | + | 0.120946i | ||||
\(718\) | 3.61669 | − | 7.82895i | 0.134974 | − | 0.292174i | ||||
\(719\) | −7.56208 | − | 23.2737i | −0.282018 | − | 0.867962i | −0.987277 | − | 0.159012i | \(-0.949169\pi\) |
0.705259 | − | 0.708950i | \(-0.250831\pi\) | |||||||
\(720\) | −4.58874 | − | 6.99469i | −0.171012 | − | 0.260677i | ||||
\(721\) | −3.49869 | + | 10.7679i | −0.130298 | + | 0.401017i | ||||
\(722\) | −26.9181 | − | 24.9222i | −1.00179 | − | 0.927510i | ||||
\(723\) | −1.20970 | + | 7.63772i | −0.0449891 | + | 0.284050i | ||||
\(724\) | 0.892371 | − | 11.1145i | 0.0331647 | − | 0.413068i | ||||
\(725\) | 10.3050 | + | 2.58963i | 0.382717 | + | 0.0961763i | ||||
\(726\) | 7.61836 | + | 20.7007i | 0.282744 | + | 0.768276i | ||||
\(727\) | 4.60692 | + | 6.34088i | 0.170861 | + | 0.235170i | 0.885857 | − | 0.463959i | \(-0.153571\pi\) |
−0.714996 | + | 0.699129i | \(0.753571\pi\) | |||||||
\(728\) | −19.1542 | − | 20.8195i | −0.709903 | − | 0.771623i | ||||
\(729\) | 27.9143 | + | 9.06990i | 1.03386 | + | 0.335922i | ||||
\(730\) | 32.4944 | + | 10.7769i | 1.20267 | + | 0.398871i | ||||
\(731\) | −15.5352 | + | 30.4895i | −0.574589 | + | 1.12769i | ||||
\(732\) | −18.8994 | + | 16.0901i | −0.698542 | + | 0.594709i | ||||
\(733\) | −14.8294 | − | 7.55594i | −0.547735 | − | 0.279085i | 0.158146 | − | 0.987416i | \(-0.449448\pi\) |
−0.705880 | + | 0.708331i | \(0.749448\pi\) | |||||||
\(734\) | −6.35953 | − | 11.3768i | −0.234735 | − | 0.419925i | ||||
\(735\) | 10.4971 | + | 8.36564i | 0.387190 | + | 0.308571i | ||||
\(736\) | 38.7998 | − | 1.37125i | 1.43018 | − | 0.0505451i | ||||
\(737\) | 0.610940 | + | 0.443874i | 0.0225043 | + | 0.0163503i | ||||
\(738\) | −0.734236 | − | 1.31350i | −0.0270276 | − | 0.0483507i | ||||
\(739\) | −0.167540 | + | 1.05781i | −0.00616306 | + | 0.0389120i | −0.990578 | − | 0.136948i | \(-0.956271\pi\) |
0.984415 | + | 0.175860i | \(0.0562706\pi\) | |||||||
\(740\) | 5.51841 | + | 3.74236i | 0.202861 | + | 0.137572i | ||||
\(741\) | −8.97139 | − | 56.6431i | −0.329572 | − | 2.08084i | ||||
\(742\) | 20.6112 | + | 26.1876i | 0.756660 | + | 0.961377i | ||||
\(743\) | 48.4018i | 1.77569i | 0.460142 | + | 0.887845i | \(0.347798\pi\) | ||||
−0.460142 | + | 0.887845i | \(0.652202\pi\) | |||||||
\(744\) | 4.52638 | − | 22.4776i | 0.165945 | − | 0.824069i | ||||
\(745\) | 8.16791 | + | 3.06249i | 0.299249 | + | 0.112201i | ||||
\(746\) | 23.0497 | − | 0.887421i | 0.843909 | − | 0.0324908i | ||||
\(747\) | 6.25834 | − | 3.18878i | 0.228981 | − | 0.116672i | ||||
\(748\) | −1.92490 | − | 3.15230i | −0.0703814 | − | 0.115260i | ||||
\(749\) | 2.13093 | − | 2.13093i | 0.0778626 | − | 0.0778626i | ||||
\(750\) | −21.1320 | + | 8.34348i | −0.771632 | + | 0.304661i | ||||
\(751\) | 8.69178 | 0.317167 | 0.158584 | − | 0.987346i | \(-0.449307\pi\) | ||||
0.158584 | + | 0.987346i | \(0.449307\pi\) | |||||||
\(752\) | 11.2972 | + | 22.3459i | 0.411965 | + | 0.814872i | ||||
\(753\) | −12.4206 | + | 38.2268i | −0.452633 | + | 1.39306i | ||||
\(754\) | −13.1294 | − | 12.1559i | −0.478143 | − | 0.442691i | ||||
\(755\) | −11.5753 | − | 25.4622i | −0.421267 | − | 0.926663i | ||||
\(756\) | 4.40621 | + | 18.4816i | 0.160252 | + | 0.672168i | ||||
\(757\) | −29.1831 | − | 29.1831i | −1.06068 | − | 1.06068i | −0.998036 | − | 0.0626398i | \(-0.980048\pi\) |
−0.0626398 | − | 0.998036i | \(-0.519952\pi\) | |||||||
\(758\) | 33.8627 | − | 26.6520i | 1.22995 | − | 0.968043i | ||||
\(759\) | −2.20840 | + | 3.03961i | −0.0801599 | + | 0.110331i | ||||
\(760\) | 36.3186 | − | 21.8754i | 1.31742 | − | 0.793503i | ||||
\(761\) | 9.90268 | + | 13.6299i | 0.358972 | + | 0.494082i | 0.949862 | − | 0.312670i | \(-0.101223\pi\) |
−0.590890 | + | 0.806752i | \(0.701223\pi\) | |||||||
\(762\) | 15.8389 | + | 4.48052i | 0.573783 | + | 0.162312i | ||||
\(763\) | −1.26728 | − | 8.00132i | −0.0458788 | − | 0.289667i | ||||
\(764\) | −8.16170 | − | 1.97307i | −0.295280 | − | 0.0713832i | ||||
\(765\) | 10.0737 | − | 1.13829i | 0.364214 | − | 0.0411549i | ||||
\(766\) | 6.17798 | + | 11.0520i | 0.223220 | + | 0.399326i | ||||
\(767\) | −21.8451 | − | 67.2322i | −0.788780 | − | 2.42762i | ||||
\(768\) | 20.5501 | − | 10.3080i | 0.741539 | − | 0.371959i | ||||
\(769\) | 1.69482 | + | 5.21612i | 0.0611168 | + | 0.188098i | 0.976953 | − | 0.213453i | \(-0.0684711\pi\) |
−0.915836 | + | 0.401551i | \(0.868471\pi\) | |||||||
\(770\) | 0.907899 | + | 1.80895i | 0.0327184 | + | 0.0651902i | ||||
\(771\) | −3.67815 | − | 7.21877i | −0.132465 | − | 0.259978i | ||||
\(772\) | −27.3750 | + | 11.2885i | −0.985247 | + | 0.406283i | ||||
\(773\) | −36.0173 | − | 5.70458i | −1.29545 | − | 0.205179i | −0.529628 | − | 0.848230i | \(-0.677668\pi\) |
−0.765824 | + | 0.643051i | \(0.777668\pi\) | |||||||
\(774\) | −8.76278 | + | 3.22491i | −0.314972 | + | 0.115917i | ||||
\(775\) | 25.9454 | + | 11.0700i | 0.931988 | + | 0.397647i | ||||
\(776\) | 8.89332 | + | 31.8213i | 0.319252 | + | 1.14232i | ||||
\(777\) | −2.11551 | − | 2.91175i | −0.0758935 | − | 0.104458i | ||||
\(778\) | −47.0565 | + | 1.81169i | −1.68706 | + | 0.0649523i | ||||
\(779\) | 6.79526 | − | 3.46236i | 0.243465 | − | 0.124052i | ||||
\(780\) | 37.9616 | + | 4.75764i | 1.35924 | + | 0.170351i | ||||
\(781\) | 2.93727 | + | 1.49662i | 0.105104 | + | 0.0535531i | ||||
\(782\) | −19.7312 | + | 42.7116i | −0.705585 | + | 1.52736i | ||||
\(783\) | 3.71332 | + | 11.4284i | 0.132703 | + | 0.408419i | ||||
\(784\) | 11.8533 | − | 11.7788i | 0.423333 | − | 0.420671i | ||||
\(785\) | −9.03782 | + | 24.1046i | −0.322573 | + | 0.860329i | ||||
\(786\) | −0.606697 | − | 3.06269i | −0.0216402 | − | 0.109243i | ||||
\(787\) | −36.0698 | + | 5.71290i | −1.28575 | + | 0.203643i | −0.761636 | − | 0.648005i | \(-0.775603\pi\) |
−0.524114 | + | 0.851648i | \(0.675603\pi\) | |||||||
\(788\) | −25.4843 | + | 29.7432i | −0.907842 | + | 1.05956i | ||||
\(789\) | 41.5977 | + | 6.58843i | 1.48092 | + | 0.234554i | ||||
\(790\) | 7.82579 | + | 24.5930i | 0.278429 | + | 0.874981i | ||||
\(791\) | 19.6176 | − | 27.0013i | 0.697522 | − | 0.960057i | ||||
\(792\) | 0.198961 | − | 0.988023i | 0.00706977 | − | 0.0351079i | ||||
\(793\) | 51.4215i | 1.82603i | ||||||||
\(794\) | 16.7877 | + | 21.3297i | 0.595773 | + | 0.756962i | ||||
\(795\) | −44.1554 | − | 9.02616i | −1.56603 | − | 0.320125i | ||||
\(796\) | −3.77867 | − | 9.16337i | −0.133931 | − | 0.324787i | ||||
\(797\) | 12.6262 | + | 24.7803i | 0.447243 | + | 0.877764i | 0.999041 | + | 0.0437858i | \(0.0139419\pi\) |
−0.551798 | + | 0.833978i | \(0.686058\pi\) | |||||||
\(798\) | −22.4495 | + | 4.44708i | −0.794703 | + | 0.157425i | ||||
\(799\) | −30.3438 | −1.07349 | ||||||||
\(800\) | 7.28132 | + | 27.3310i | 0.257433 | + | 0.966296i | ||||
\(801\) | −9.41107 | −0.332524 | ||||||||
\(802\) | 3.80954 | − | 0.754642i | 0.134519 | − | 0.0266473i | ||||
\(803\) | 1.87249 | + | 3.67497i | 0.0660788 | + | 0.129687i | ||||
\(804\) | −2.17159 | − | 5.26616i | −0.0765861 | − | 0.185723i | ||||
\(805\) | 12.7165 | − | 22.4278i | 0.448198 | − | 0.790476i | ||||
\(806\) | −29.3785 | − | 37.3269i | −1.03481 | − | 1.31478i | ||||
\(807\) | 20.5192i | 0.722309i | ||||||||
\(808\) | 2.77413 | + | 0.558635i | 0.0975936 | + | 0.0196527i | ||||
\(809\) | −26.1353 | + | 35.9722i | −0.918868 | + | 1.26471i | 0.0451778 | + | 0.998979i | \(0.485615\pi\) |
−0.964046 | + | 0.265735i | \(0.914385\pi\) | |||||||
\(810\) | −13.5483 | − | 9.96981i | −0.476038 | − | 0.350303i | ||||
\(811\) | 26.6420 | + | 4.21968i | 0.935528 | + | 0.148173i | 0.605542 | − | 0.795813i | \(-0.292956\pi\) |
0.329985 | + | 0.943986i | \(0.392956\pi\) | |||||||
\(812\) | −4.64575 | + | 5.42214i | −0.163034 | + | 0.190280i | ||||
\(813\) | 30.4722 | − | 4.82632i | 1.06871 | − | 0.169267i | ||||
\(814\) | 0.156096 | + | 0.787992i | 0.00547115 | + | 0.0276191i | ||||
\(815\) | 7.34957 | − | 4.85478i | 0.257444 | − | 0.170055i | ||||
\(816\) | −0.0878814 | + | 27.8609i | −0.00307646 | + | 0.975327i | ||||
\(817\) | −14.6237 | − | 45.0070i | −0.511617 | − | 1.57460i | ||||
\(818\) | −10.9492 | + | 23.7015i | −0.382831 | + | 0.828704i | ||||
\(819\) | 8.33531 | + | 4.24705i | 0.291259 | + | 0.148404i | ||||
\(820\) | 0.958279 | + | 4.99670i | 0.0334645 | + | 0.174492i | ||||
\(821\) | 0.702250 | − | 0.357814i | 0.0245087 | − | 0.0124878i | −0.441693 | − | 0.897166i | \(-0.645622\pi\) |
0.466202 | + | 0.884678i | \(0.345622\pi\) | |||||||
\(822\) | −14.9101 | + | 0.574045i | −0.520050 | + | 0.0200221i | ||||
\(823\) | 15.7639 | + | 21.6972i | 0.549496 | + | 0.756316i | 0.989944 | − | 0.141462i | \(-0.0451803\pi\) |
−0.440448 | + | 0.897778i | \(0.645180\pi\) | |||||||
\(824\) | −18.3582 | + | 5.13070i | −0.639539 | + | 0.178736i | ||||
\(825\) | −2.51760 | − | 1.07417i | −0.0876516 | − | 0.0373979i | ||||
\(826\) | −26.4744 | + | 9.74321i | −0.921162 | + | 0.339010i | ||||
\(827\) | 6.97417 | + | 1.10460i | 0.242516 | + | 0.0384107i | 0.276509 | − | 0.961011i | \(-0.410822\pi\) |
−0.0339933 | + | 0.999422i | \(0.510822\pi\) | |||||||
\(828\) | −11.8687 | + | 4.89426i | −0.412466 | + | 0.170087i | ||||
\(829\) | −5.72367 | − | 11.2333i | −0.198791 | − | 0.390150i | 0.769994 | − | 0.638051i | \(-0.220259\pi\) |
−0.968785 | + | 0.247901i | \(0.920259\pi\) | |||||||
\(830\) | −23.4779 | + | 3.57236i | −0.814930 | + | 0.123999i | ||||
\(831\) | −6.14955 | − | 18.9264i | −0.213326 | − | 0.656549i | ||||
\(832\) | 11.3379 | − | 46.2602i | 0.393069 | − | 1.60379i | ||||
\(833\) | 6.25779 | + | 19.2595i | 0.216820 | + | 0.667302i | ||||
\(834\) | −14.5101 | − | 25.9577i | −0.502444 | − | 0.898841i | ||||
\(835\) | −13.1996 | + | 12.0727i | −0.456791 | + | 0.417793i | ||||
\(836\) | 4.96495 | + | 1.20026i | 0.171716 | + | 0.0415120i | ||||
\(837\) | 4.99053 | + | 31.5090i | 0.172498 | + | 1.08911i | ||||
\(838\) | −5.98612 | − | 1.69336i | −0.206787 | − | 0.0584961i | ||||
\(839\) | −2.30957 | − | 3.17885i | −0.0797353 | − | 0.109746i | 0.767286 | − | 0.641305i | \(-0.221607\pi\) |
−0.847022 | + | 0.531559i | \(0.821607\pi\) | |||||||
\(840\) | 1.31437 | − | 15.2107i | 0.0453499 | − | 0.524821i | ||||
\(841\) | 14.3914 | − | 19.8080i | 0.496254 | − | 0.683035i | ||||
\(842\) | 25.8801 | − | 20.3692i | 0.891888 | − | 0.701968i | ||||
\(843\) | −5.37262 | − | 5.37262i | −0.185043 | − | 0.185043i | ||||
\(844\) | −4.47433 | − | 18.7673i | −0.154013 | − | 0.645996i | ||||
\(845\) | 37.0363 | − | 33.8744i | 1.27409 | − | 1.16531i | ||||
\(846\) | −6.07570 | − | 5.62521i | −0.208887 | − | 0.193399i | ||||
\(847\) | 5.63525 | − | 17.3435i | 0.193629 | − | 0.595930i | ||||
\(848\) | −17.5063 | + | 53.3062i | −0.601170 | + | 1.83054i | ||||
\(849\) | 14.2645 | 0.489557 | ||||||||
\(850\) | −33.5395 | − | 7.06876i | −1.15039 | − | 0.242456i | ||||
\(851\) | 7.23555 | − | 7.23555i | 0.248031 | − | 0.248031i | ||||
\(852\) | −12.9593 | − | 21.2228i | −0.443980 | − | 0.727081i | ||||
\(853\) | 19.8345 | − | 10.1062i | 0.679121 | − | 0.346030i | −0.0801694 | − | 0.996781i | \(-0.525546\pi\) |
0.759291 | + | 0.650752i | \(0.225546\pi\) | |||||||
\(854\) | 20.5050 | − | 0.789450i | 0.701667 | − | 0.0270144i | ||||
\(855\) | −8.73782 | + | 10.9641i | −0.298827 | + | 0.374963i | ||||
\(856\) | 4.97383 | + | 1.00159i | 0.170002 | + | 0.0342338i | ||||
\(857\) | 2.81793i | 0.0962585i | 0.998841 | + | 0.0481292i | \(0.0153259\pi\) | ||||
−0.998841 | + | 0.0481292i | \(0.984674\pi\) | |||||||
\(858\) | 2.85072 | + | 3.62200i | 0.0973221 | + | 0.123653i | ||||
\(859\) | 2.15358 | + | 13.5972i | 0.0734791 | + | 0.463929i | 0.996802 | + | 0.0799054i | \(0.0254618\pi\) |
−0.923323 | + | 0.384023i | \(0.874538\pi\) | |||||||
\(860\) | 31.5535 | − | 1.02276i | 1.07597 | − | 0.0348757i | ||||
\(861\) | 0.429615 | − | 2.71248i | 0.0146413 | − | 0.0924412i | ||||
\(862\) | −5.41740 | − | 9.69139i | −0.184517 | − | 0.330090i | ||||
\(863\) | −8.28451 | − | 6.01905i | −0.282008 | − | 0.204891i | 0.437785 | − | 0.899080i | \(-0.355763\pi\) |
−0.719793 | + | 0.694189i | \(0.755763\pi\) | |||||||
\(864\) | −21.8056 | + | 23.4034i | −0.741843 | + | 0.796200i | ||||
\(865\) | 1.75113 | + | 6.33718i | 0.0595401 | + | 0.215471i | ||||
\(866\) | 23.7569 | + | 42.4995i | 0.807291 | + | 1.44419i | ||||
\(867\) | −8.31840 | − | 4.23844i | −0.282508 | − | 0.143945i | ||||
\(868\) | −14.4336 | + | 12.2881i | −0.489908 | + | 0.417086i | ||||
\(869\) | −1.41159 | + | 2.77040i | −0.0478849 | + | 0.0939793i | ||||
\(870\) | 0.0587018 | − | 9.65595i | 0.00199018 | − | 0.327367i | ||||
\(871\) | −11.2235 | − | 3.64673i | −0.380293 | − | 0.123565i | ||||
\(872\) | 10.0372 | − | 9.23439i | 0.339904 | − | 0.312716i | ||||
\(873\) | −6.42202 | − | 8.83915i | −0.217352 | − | 0.299160i | ||||
\(874\) | −22.4723 | − | 61.0622i | −0.760138 | − | 2.06546i | ||||
\(875\) | 17.9945 | + | 5.38471i | 0.608324 | + | 0.182036i | ||||
\(876\) | 2.48993 | − | 31.0122i | 0.0841270 | − | 1.04780i | ||||
\(877\) | −0.915067 | + | 5.77750i | −0.0308996 | + | 0.195092i | −0.998309 | − | 0.0581234i | \(-0.981488\pi\) |
0.967410 | + | 0.253216i | \(0.0814883\pi\) | |||||||
\(878\) | −33.5300 | − | 31.0439i | −1.13158 | − | 1.04768i | ||||
\(879\) | −12.1266 | + | 37.3218i | −0.409020 | + | 1.25883i | ||||
\(880\) | −1.69008 | + | 2.95896i | −0.0569725 | + | 0.0997464i | ||||
\(881\) | −15.7672 | − | 48.5264i | −0.531210 | − | 1.63490i | −0.751698 | − | 0.659507i | \(-0.770765\pi\) |
0.220488 | − | 0.975390i | \(-0.429235\pi\) | |||||||
\(882\) | −2.31738 | + | 5.01638i | −0.0780303 | + | 0.168910i | ||||
\(883\) | −4.61762 | − | 2.35279i | −0.155395 | − | 0.0791778i | 0.374563 | − | 0.927201i | \(-0.377793\pi\) |
−0.529959 | + | 0.848023i | \(0.677793\pi\) | |||||||
\(884\) | 43.8312 | + | 37.5551i | 1.47420 | + | 1.26311i | ||||
\(885\) | 18.8170 | − | 33.1871i | 0.632526 | − | 1.11557i | ||||
\(886\) | −16.7015 | − | 11.1786i | −0.561098 | − | 0.375554i | ||||
\(887\) | 1.71211 | − | 2.35652i | 0.0574871 | − | 0.0791242i | −0.779306 | − | 0.626644i | \(-0.784428\pi\) |
0.836793 | + | 0.547520i | \(0.184428\pi\) | |||||||
\(888\) | 2.11073 | − | 5.67996i | 0.0708314 | − | 0.190607i | ||||
\(889\) | −7.99877 | − | 11.0094i | −0.268270 | − | 0.369242i | ||||
\(890\) | 30.2016 | + | 10.0165i | 1.01236 | + | 0.335753i | ||||
\(891\) | −0.317026 | − | 2.00162i | −0.0106208 | − | 0.0670568i | ||||
\(892\) | −15.4548 | + | 25.1309i | −0.517465 | + | 0.841445i | ||||
\(893\) | 29.6729 | − | 29.6729i | 0.992967 | − | 0.992967i | ||||
\(894\) | 0.937979 | − | 7.87176i | 0.0313707 | − | 0.263271i | ||||
\(895\) | −8.80634 | − | 7.01822i | −0.294363 | − | 0.234593i | ||||
\(896\) | −18.6210 | − | 3.81091i | −0.622083 | − | 0.127314i | ||||
\(897\) | 18.1435 | − | 55.8401i | 0.605795 | − | 1.86445i | ||||
\(898\) | 1.22809 | − | 0.243276i | 0.0409820 | − | 0.00811824i | ||||
\(899\) | −8.47748 | + | 8.47748i | −0.282740 | + | 0.282740i | ||||
\(900\) | −5.40513 | − | 7.63298i | −0.180171 | − | 0.254433i | ||||
\(901\) | −48.0787 | − | 48.0787i | −1.60173 | − | 1.60173i | ||||
\(902\) | −0.340943 | + | 0.509388i | −0.0113522 | + | 0.0169608i | ||||
\(903\) | −16.2070 | − | 5.26597i | −0.539335 | − | 0.175241i | ||||
\(904\) | 56.1421 | + | 2.33886i | 1.86726 | + | 0.0777895i | ||||
\(905\) | 0.555326 | − | 12.4540i | 0.0184597 | − | 0.413985i | ||||
\(906\) | −19.9739 | + | 15.7206i | −0.663588 | + | 0.522283i | ||||
\(907\) | 25.9352 | + | 25.9352i | 0.861166 | + | 0.861166i | 0.991474 | − | 0.130308i | \(-0.0415966\pi\) |
−0.130308 | + | 0.991474i | \(0.541597\pi\) | |||||||
\(908\) | 4.37064 | + | 18.3324i | 0.145045 | + | 0.608381i | ||||
\(909\) | −0.924236 | + | 0.146385i | −0.0306550 | + | 0.00485527i | ||||
\(910\) | −22.2290 | − | 22.5010i | −0.736885 | − | 0.745899i | ||||
\(911\) | −19.8724 | + | 14.4381i | −0.658401 | + | 0.478356i | −0.866123 | − | 0.499832i | \(-0.833395\pi\) |
0.207721 | + | 0.978188i | \(0.433395\pi\) | |||||||
\(912\) | −27.1590 | − | 27.3308i | −0.899323 | − | 0.905015i | ||||
\(913\) | −2.31468 | − | 1.68172i | −0.0766049 | − | 0.0556567i | ||||
\(914\) | 0.507381 | + | 2.56133i | 0.0167827 | + | 0.0847212i | ||||
\(915\) | −20.4773 | + | 18.7291i | −0.676960 | + | 0.619165i | ||||
\(916\) | −16.2993 | + | 19.0232i | −0.538543 | + | 0.628543i | ||||
\(917\) | −1.17185 | + | 2.29988i | −0.0386978 | + | 0.0759487i | ||||
\(918\) | −13.3882 | − | 36.3787i | −0.441878 | − | 1.20068i | ||||
\(919\) | −48.4154 | + | 15.7311i | −1.59708 | + | 0.518922i | −0.966382 | − | 0.257110i | \(-0.917230\pi\) |
−0.630694 | + | 0.776031i | \(0.717230\pi\) | |||||||
\(920\) | 43.2976 | − | 3.07423i | 1.42748 | − | 0.101354i | ||||
\(921\) | −33.7428 | − | 10.9637i | −1.11186 | − | 0.361266i | ||||
\(922\) | −2.04503 | − | 53.1172i | −0.0673495 | − | 1.74932i | ||||
\(923\) | −50.8819 | − | 8.05890i | −1.67480 | − | 0.265262i | ||||
\(924\) | 1.40055 | − | 1.19237i | 0.0460749 | − | 0.0392261i | ||||
\(925\) | 6.31461 | + | 3.96211i | 0.207623 | + | 0.130273i | ||||
\(926\) | −38.0266 | − | 17.5669i | −1.24963 | − | 0.577283i | ||||
\(927\) | 5.09945 | − | 3.70497i | 0.167488 | − | 0.121687i | ||||
\(928\) | −11.9322 | − | 1.46000i | −0.391695 | − | 0.0479269i | ||||
\(929\) | 10.0199 | − | 30.8380i | 0.328742 | − | 1.01176i | −0.640982 | − | 0.767556i | \(-0.721473\pi\) |
0.969723 | − | 0.244206i | \(-0.0785274\pi\) | |||||||
\(930\) | 4.16408 | − | 25.2947i | 0.136545 | − | 0.829447i | ||||
\(931\) | −24.9531 | − | 12.7142i | −0.817805 | − | 0.416692i | ||||
\(932\) | −7.86825 | + | 6.69869i | −0.257733 | + | 0.219423i | ||||
\(933\) | −8.88916 | + | 17.4459i | −0.291018 | + | 0.571155i | ||||
\(934\) | 0.00771111 | + | 0.00218132i | 0.000252315 | + | 7.13751e-5i | ||||
\(935\) | −2.27603 | − | 3.44565i | −0.0744343 | − | 0.112685i | ||||
\(936\) | 1.81420 | + | 15.6451i | 0.0592990 | + | 0.511376i | ||||
\(937\) | −12.4632 | + | 17.1542i | −0.407156 | + | 0.560402i | −0.962522 | − | 0.271204i | \(-0.912578\pi\) |
0.555366 | + | 0.831606i | \(0.312578\pi\) | |||||||
\(938\) | −1.28187 | + | 4.53150i | −0.0418547 | + | 0.147959i | ||||
\(939\) | −46.5350 | − | 7.37042i | −1.51861 | − | 0.240525i | ||||
\(940\) | 13.5108 | + | 24.5187i | 0.440673 | + | 0.799712i | ||||
\(941\) | 13.7146 | − | 2.17218i | 0.447083 | − | 0.0708110i | 0.0711662 | − | 0.997464i | \(-0.477328\pi\) |
0.375917 | + | 0.926654i | \(0.377328\pi\) | |||||||
\(942\) | 23.2306 | + | 2.76810i | 0.756893 | + | 0.0901895i | ||||
\(943\) | 7.80796 | 0.254262 | ||||||||
\(944\) | −38.3359 | − | 28.0378i | −1.24773 | − | 0.912554i | ||||
\(945\) | 5.65773 | + | 20.4748i | 0.184046 | + | 0.666046i | ||||
\(946\) | 2.79094 | + | 2.58400i | 0.0907412 | + | 0.0840131i | ||||
\(947\) | 20.1882 | + | 39.6216i | 0.656029 | + | 1.28753i | 0.944018 | + | 0.329895i | \(0.107013\pi\) |
−0.287989 | + | 0.957634i | \(0.592987\pi\) | |||||||
\(948\) | 20.0171 | − | 12.2231i | 0.650124 | − | 0.396987i | ||||
\(949\) | −45.5762 | − | 45.5762i | −1.47947 | − | 1.47947i | ||||
\(950\) | 39.7104 | − | 25.8854i | 1.28837 | − | 0.839834i | ||||
\(951\) | 17.1965i | 0.557633i | ||||||||
\(952\) | 14.3027 | − | 18.0548i | 0.463552 | − | 0.585161i | ||||
\(953\) | −27.1677 | − | 8.82731i | −0.880047 | − | 0.285945i | −0.166070 | − | 0.986114i | \(-0.553108\pi\) |
−0.713977 | + | 0.700169i | \(0.753108\pi\) | |||||||
\(954\) | −0.713783 | − | 18.5396i | −0.0231096 | − | 0.600243i | ||||
\(955\) | −9.19771 | − | 1.88018i | −0.297631 | − | 0.0608412i | ||||
\(956\) | 5.20123 | − | 8.45766i | 0.168220 | − | 0.273540i | ||||
\(957\) | 0.822607 | − | 0.822607i | 0.0265911 | − | 0.0265911i | ||||
\(958\) | −1.99037 | + | 16.7037i | −0.0643059 | + | 0.539671i | ||||
\(959\) | 9.97984 | + | 7.25078i | 0.322266 | + | 0.234140i | ||||
\(960\) | 22.5515 | − | 12.3342i | 0.727848 | − | 0.398085i | ||||
\(961\) | −0.670227 | + | 0.486949i | −0.0216202 | + | 0.0157080i | ||||
\(962\) | −6.12520 | − | 10.9576i | −0.197484 | − | 0.353287i | ||||
\(963\) | −1.65709 | + | 0.262458i | −0.0533991 | + | 0.00845758i | ||||
\(964\) | 10.4619 | + | 2.52914i | 0.336956 | + | 0.0814582i | ||||
\(965\) | −30.1381 | + | 13.7010i | −0.970181 | + | 0.441051i | ||||
\(966\) | −22.5455 | − | 6.37770i | −0.725391 | − | 0.205199i | ||||
\(967\) | −37.6222 | + | 12.2242i | −1.20985 | + | 0.393104i | −0.843376 | − | 0.537324i | \(-0.819435\pi\) |
−0.366474 | + | 0.930428i | \(0.619435\pi\) | |||||||
\(968\) | 29.5691 | − | 8.26388i | 0.950386 | − | 0.265611i | ||||
\(969\) | 44.4076 | − | 14.4289i | 1.42658 | − | 0.463523i | ||||
\(970\) | 11.2015 | + | 35.2013i | 0.359658 | + | 1.13025i | ||||
\(971\) | 30.1260 | − | 15.3500i | 0.966790 | − | 0.492604i | 0.102026 | − | 0.994782i | \(-0.467468\pi\) |
0.864764 | + | 0.502178i | \(0.167468\pi\) | |||||||
\(972\) | 7.16082 | − | 17.2109i | 0.229683 | − | 0.552040i | ||||
\(973\) | −3.84597 | + | 24.2825i | −0.123296 | + | 0.778462i | ||||
\(974\) | −5.14063 | + | 11.1278i | −0.164717 | + | 0.356558i | ||||
\(975\) | 42.6046 | + | 3.80706i | 1.36444 | + | 0.121924i | ||||
\(976\) | 20.2184 | + | 28.0136i | 0.647175 | + | 0.896695i | ||||
\(977\) | 27.7386 | − | 20.1533i | 0.887436 | − | 0.644760i | −0.0477723 | − | 0.998858i | \(-0.515212\pi\) |
0.935208 | + | 0.354098i | \(0.115212\pi\) | |||||||
\(978\) | −5.87378 | − | 5.43826i | −0.187823 | − | 0.173897i | ||||
\(979\) | 1.74037 | + | 3.41567i | 0.0556224 | + | 0.109165i | ||||
\(980\) | 12.7759 | − | 13.6319i | 0.408111 | − | 0.435454i | ||||
\(981\) | −2.04753 | + | 4.01851i | −0.0653727 | + | 0.128301i | ||||
\(982\) | 14.5125 | + | 39.4335i | 0.463112 | + | 1.25837i | ||||
\(983\) | −28.0148 | + | 9.10257i | −0.893534 | + | 0.290327i | −0.719566 | − | 0.694424i | \(-0.755659\pi\) |
−0.173969 | + | 0.984751i | \(0.555659\pi\) | |||||||
\(984\) | 4.20351 | − | 1.92580i | 0.134003 | − | 0.0613922i | ||||
\(985\) | −27.2922 | + | 34.2458i | −0.869602 | + | 1.09116i | ||||
\(986\) | 8.10305 | − | 12.1064i | 0.258054 | − | 0.385546i | ||||
\(987\) | −2.36391 | − | 14.9251i | −0.0752440 | − | 0.475072i | ||||
\(988\) | −79.5868 | + | 6.13733i | −2.53199 | + | 0.195255i | ||||
\(989\) | 7.57912 | − | 47.8527i | 0.241002 | − | 1.52163i | ||||
\(990\) | 0.183036 | − | 1.11185i | 0.00581726 | − | 0.0353370i | ||||
\(991\) | 8.55098 | + | 6.21265i | 0.271631 | + | 0.197351i | 0.715259 | − | 0.698860i | \(-0.246309\pi\) |
−0.443628 | + | 0.896211i | \(0.646309\pi\) | |||||||
\(992\) | −30.6815 | − | 8.78382i | −0.974139 | − | 0.278887i | ||||
\(993\) | −17.2028 | −0.545915 | ||||||||
\(994\) | −2.43243 | + | 20.4136i | −0.0771520 | + | 0.647479i | ||||
\(995\) | −4.58621 | − | 10.0883i | −0.145393 | − | 0.319821i | ||||
\(996\) | 8.22755 | + | 19.9520i | 0.260700 | + | 0.632204i | ||||
\(997\) | 24.0415 | − | 12.2497i | 0.761401 | − | 0.387953i | −0.0297632 | − | 0.999557i | \(-0.509475\pi\) |
0.791164 | + | 0.611604i | \(0.209475\pi\) | |||||||
\(998\) | −11.9333 | + | 17.8290i | −0.377742 | + | 0.564366i | ||||
\(999\) | 8.43076i | 0.266737i |
(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 | 400.2.be.a.261.5 | yes | 464 | |
16.13 | even | 4 | inner | 400.2.be.a.61.19 | ✓ | 464 | |
25.16 | even | 5 | inner | 400.2.be.a.341.19 | yes | 464 | |
400.141 | even | 20 | inner | 400.2.be.a.141.5 | yes | 464 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
400.2.be.a.61.19 | ✓ | 464 | 16.13 | even | 4 | inner | |
400.2.be.a.141.5 | yes | 464 | 400.141 | even | 20 | inner | |
400.2.be.a.261.5 | yes | 464 | 1.1 | even | 1 | trivial | |
400.2.be.a.341.19 | yes | 464 | 25.16 | even | 5 | inner |