Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [345,2,Mod(16,345)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(345, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 0, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("345.16");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 345 = 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 345.m (of order \(11\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.75483886973\) |
Analytic rank: | \(0\) |
Dimension: | \(30\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 16.3 | ||
Character | \(\chi\) | \(=\) | 345.16 |
Dual form | 345.2.m.a.151.3 |
$q$-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 \(\left(\mathbb{Z}/345\mathbb{Z}\right)^\times\).
\(n\) | \(116\) | \(166\) | \(277\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{4}{11}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.996473 | − | 1.14999i | 0.704613 | − | 0.813167i | −0.284755 | − | 0.958600i | \(-0.591912\pi\) |
0.989368 | + | 0.145433i | \(0.0464577\pi\) | |||||||
\(3\) | −0.841254 | + | 0.540641i | −0.485698 | + | 0.312139i | ||||
\(4\) | −0.0448918 | − | 0.312230i | −0.0224459 | − | 0.156115i | ||||
\(5\) | −0.415415 | − | 0.909632i | −0.185779 | − | 0.406800i | ||||
\(6\) | −0.216554 | + | 1.50617i | −0.0884080 | + | 0.614891i | ||||
\(7\) | 2.33660 | − | 0.686088i | 0.883152 | − | 0.259317i | 0.191452 | − | 0.981502i | \(-0.438680\pi\) |
0.691700 | + | 0.722185i | \(0.256862\pi\) | |||||||
\(8\) | 2.15640 | + | 1.38584i | 0.762404 | + | 0.489967i | ||||
\(9\) | 0.415415 | − | 0.909632i | 0.138472 | − | 0.303211i | ||||
\(10\) | −1.46002 | − | 0.428700i | −0.461699 | − | 0.135567i | ||||
\(11\) | −0.103138 | − | 0.119028i | −0.0310973 | − | 0.0358882i | 0.739988 | − | 0.672620i | \(-0.234831\pi\) |
−0.771085 | + | 0.636732i | \(0.780286\pi\) | |||||||
\(12\) | 0.206570 | + | 0.238394i | 0.0596315 | + | 0.0688184i | ||||
\(13\) | 3.49167 | + | 1.02525i | 0.968414 | + | 0.284352i | 0.727434 | − | 0.686178i | \(-0.240713\pi\) |
0.240981 | + | 0.970530i | \(0.422531\pi\) | |||||||
\(14\) | 1.53937 | − | 3.37074i | 0.411413 | − | 0.900868i | ||||
\(15\) | 0.841254 | + | 0.540641i | 0.217211 | + | 0.139593i | ||||
\(16\) | 4.34783 | − | 1.27664i | 1.08696 | − | 0.319159i | ||||
\(17\) | 0.383225 | − | 2.66539i | 0.0929458 | − | 0.646452i | −0.889087 | − | 0.457739i | \(-0.848659\pi\) |
0.982032 | − | 0.188713i | \(-0.0604315\pi\) | |||||||
\(18\) | −0.632119 | − | 1.38415i | −0.148992 | − | 0.326247i | ||||
\(19\) | −0.505144 | − | 3.51336i | −0.115888 | − | 0.806019i | −0.962007 | − | 0.273025i | \(-0.911976\pi\) |
0.846119 | − | 0.532994i | \(-0.178933\pi\) | |||||||
\(20\) | −0.265365 | + | 0.170540i | −0.0593375 | + | 0.0381339i | ||||
\(21\) | −1.59475 | + | 1.84044i | −0.348002 | + | 0.401616i | ||||
\(22\) | −0.239655 | −0.0510947 | ||||||||
\(23\) | −4.67624 | + | 1.06432i | −0.975063 | + | 0.221927i | ||||
\(24\) | −2.56332 | −0.523236 | ||||||||
\(25\) | −0.654861 | + | 0.755750i | −0.130972 | + | 0.151150i | ||||
\(26\) | 4.65838 | − | 2.99376i | 0.913583 | − | 0.587124i | ||||
\(27\) | 0.142315 | + | 0.989821i | 0.0273885 | + | 0.190491i | ||||
\(28\) | −0.319111 | − | 0.698756i | −0.0603064 | − | 0.132053i | ||||
\(29\) | 0.390343 | − | 2.71489i | 0.0724849 | − | 0.504143i | −0.920944 | − | 0.389694i | \(-0.872581\pi\) |
0.993429 | − | 0.114449i | \(-0.0365102\pi\) | |||||||
\(30\) | 1.46002 | − | 0.428700i | 0.266562 | − | 0.0782696i | ||||
\(31\) | 7.10391 | + | 4.56540i | 1.27590 | + | 0.819971i | 0.990376 | − | 0.138401i | \(-0.0441964\pi\) |
0.285523 | + | 0.958372i | \(0.407833\pi\) | |||||||
\(32\) | 0.734686 | − | 1.60874i | 0.129875 | − | 0.284387i | ||||
\(33\) | 0.151117 | + | 0.0443718i | 0.0263060 | + | 0.00772414i | ||||
\(34\) | −2.68330 | − | 3.09670i | −0.460183 | − | 0.531079i | ||||
\(35\) | −1.59475 | − | 1.84044i | −0.269561 | − | 0.311090i | ||||
\(36\) | −0.302663 | − | 0.0888698i | −0.0504438 | − | 0.0148116i | ||||
\(37\) | −1.34983 | + | 2.95571i | −0.221910 | + | 0.485916i | −0.987540 | − | 0.157365i | \(-0.949700\pi\) |
0.765630 | + | 0.643281i | \(0.222427\pi\) | |||||||
\(38\) | −4.54369 | − | 2.92005i | −0.737084 | − | 0.473695i | ||||
\(39\) | −3.49167 | + | 1.02525i | −0.559114 | + | 0.164171i | ||||
\(40\) | 0.364799 | − | 2.53723i | 0.0576798 | − | 0.401171i | ||||
\(41\) | 1.58078 | + | 3.46143i | 0.246877 | + | 0.540584i | 0.991984 | − | 0.126360i | \(-0.0403293\pi\) |
−0.745108 | + | 0.666944i | \(0.767602\pi\) | |||||||
\(42\) | 0.527363 | + | 3.66789i | 0.0813739 | + | 0.565968i | ||||
\(43\) | −3.95474 | + | 2.54156i | −0.603092 | + | 0.387584i | −0.806261 | − | 0.591560i | \(-0.798512\pi\) |
0.203169 | + | 0.979144i | \(0.434876\pi\) | |||||||
\(44\) | −0.0325339 | + | 0.0375462i | −0.00490467 | + | 0.00566030i | ||||
\(45\) | −1.00000 | −0.149071 | ||||||||
\(46\) | −3.43579 | + | 6.43821i | −0.506579 | + | 0.949262i | ||||
\(47\) | −12.7257 | −1.85623 | −0.928116 | − | 0.372292i | \(-0.878572\pi\) | ||||
−0.928116 | + | 0.372292i | \(0.878572\pi\) | |||||||
\(48\) | −2.96742 | + | 3.42459i | −0.428310 | + | 0.494297i | ||||
\(49\) | −0.899789 | + | 0.578259i | −0.128541 | + | 0.0826085i | ||||
\(50\) | 0.216554 | + | 1.50617i | 0.0306254 | + | 0.213004i | ||||
\(51\) | 1.11863 | + | 2.44946i | 0.156639 | + | 0.342992i | ||||
\(52\) | 0.163365 | − | 1.13623i | 0.0226546 | − | 0.157566i | ||||
\(53\) | −7.09172 | + | 2.08232i | −0.974122 | + | 0.286028i | −0.729796 | − | 0.683665i | \(-0.760385\pi\) |
−0.244326 | + | 0.969693i | \(0.578567\pi\) | |||||||
\(54\) | 1.28010 | + | 0.822670i | 0.174199 | + | 0.111951i | ||||
\(55\) | −0.0654263 | + | 0.143264i | −0.00882208 | + | 0.0193177i | ||||
\(56\) | 5.98946 | + | 1.75866i | 0.800375 | + | 0.235011i | ||||
\(57\) | 2.32442 | + | 2.68252i | 0.307877 | + | 0.355309i | ||||
\(58\) | −2.73314 | − | 3.15421i | −0.358879 | − | 0.414168i | ||||
\(59\) | −0.00668115 | − | 0.00196176i | −0.000869811 | − | 0.000255400i | 0.281298 | − | 0.959621i | \(-0.409235\pi\) |
−0.282167 | + | 0.959365i | \(0.591053\pi\) | |||||||
\(60\) | 0.131039 | − | 0.286935i | 0.0169170 | − | 0.0370431i | ||||
\(61\) | −4.24856 | − | 2.73038i | −0.543972 | − | 0.349589i | 0.239619 | − | 0.970867i | \(-0.422978\pi\) |
−0.783591 | + | 0.621278i | \(0.786614\pi\) | |||||||
\(62\) | 12.3290 | − | 3.62013i | 1.56579 | − | 0.459757i | ||||
\(63\) | 0.346572 | − | 2.41046i | 0.0436639 | − | 0.303689i | ||||
\(64\) | 2.64686 | + | 5.79583i | 0.330858 | + | 0.724478i | ||||
\(65\) | −0.517895 | − | 3.60204i | −0.0642369 | − | 0.446778i | ||||
\(66\) | 0.201611 | − | 0.129567i | 0.0248166 | − | 0.0159487i | ||||
\(67\) | −5.27776 | + | 6.09086i | −0.644781 | + | 0.744117i | −0.980213 | − | 0.197948i | \(-0.936572\pi\) |
0.335432 | + | 0.942065i | \(0.391118\pi\) | |||||||
\(68\) | −0.849417 | −0.103007 | ||||||||
\(69\) | 3.35849 | − | 3.42353i | 0.404314 | − | 0.412145i | ||||
\(70\) | −3.70561 | −0.442905 | ||||||||
\(71\) | −0.115126 | + | 0.132862i | −0.0136629 | + | 0.0157678i | −0.762540 | − | 0.646941i | \(-0.776048\pi\) |
0.748877 | + | 0.662709i | \(0.230593\pi\) | |||||||
\(72\) | 2.15640 | − | 1.38584i | 0.254135 | − | 0.163322i | ||||
\(73\) | −0.529955 | − | 3.68592i | −0.0620266 | − | 0.431404i | −0.997046 | − | 0.0768077i | \(-0.975527\pi\) |
0.935019 | − | 0.354597i | \(-0.115382\pi\) | |||||||
\(74\) | 2.05398 | + | 4.49758i | 0.238770 | + | 0.522833i | ||||
\(75\) | 0.142315 | − | 0.989821i | 0.0164331 | − | 0.114295i | ||||
\(76\) | −1.07430 | + | 0.315442i | −0.123230 | + | 0.0361837i | ||||
\(77\) | −0.322656 | − | 0.207358i | −0.0367701 | − | 0.0236307i | ||||
\(78\) | −2.30033 | + | 5.03702i | −0.260461 | + | 0.570330i | ||||
\(79\) | −8.25044 | − | 2.42255i | −0.928247 | − | 0.272558i | −0.217544 | − | 0.976050i | \(-0.569805\pi\) |
−0.710703 | + | 0.703493i | \(0.751623\pi\) | |||||||
\(80\) | −2.96742 | − | 3.42459i | −0.331768 | − | 0.382880i | ||||
\(81\) | −0.654861 | − | 0.755750i | −0.0727623 | − | 0.0839722i | ||||
\(82\) | 5.55582 | + | 1.63134i | 0.613538 | + | 0.180151i | ||||
\(83\) | 2.96614 | − | 6.49495i | 0.325577 | − | 0.712913i | −0.674092 | − | 0.738647i | \(-0.735465\pi\) |
0.999669 | + | 0.0257338i | \(0.00819223\pi\) | |||||||
\(84\) | 0.646230 | + | 0.415307i | 0.0705094 | + | 0.0453137i | ||||
\(85\) | −2.58372 | + | 0.758649i | −0.280244 | + | 0.0822870i | ||||
\(86\) | −1.01802 | + | 7.08051i | −0.109776 | + | 0.763511i | ||||
\(87\) | 1.13941 | + | 2.49495i | 0.122157 | + | 0.267487i | ||||
\(88\) | −0.0574544 | − | 0.399604i | −0.00612466 | − | 0.0425980i | ||||
\(89\) | 14.0852 | − | 9.05201i | 1.49303 | − | 0.959512i | 0.497262 | − | 0.867600i | \(-0.334339\pi\) |
0.995767 | − | 0.0919111i | \(-0.0292976\pi\) | |||||||
\(90\) | −0.996473 | + | 1.14999i | −0.105038 | + | 0.121220i | ||||
\(91\) | 8.86204 | 0.928994 | ||||||||
\(92\) | 0.542238 | + | 1.41228i | 0.0565322 | + | 0.147240i | ||||
\(93\) | −8.44443 | −0.875646 | ||||||||
\(94\) | −12.6808 | + | 14.6344i | −1.30792 | + | 1.50943i | ||||
\(95\) | −2.98602 | + | 1.91900i | −0.306359 | + | 0.196885i | ||||
\(96\) | 0.251692 | + | 1.75056i | 0.0256882 | + | 0.178666i | ||||
\(97\) | 5.84431 | + | 12.7972i | 0.593399 | + | 1.29936i | 0.933366 | + | 0.358926i | \(0.116857\pi\) |
−0.339967 | + | 0.940437i | \(0.610416\pi\) | |||||||
\(98\) | −0.231623 | + | 1.61097i | −0.0233974 | + | 0.162733i | ||||
\(99\) | −0.151117 | + | 0.0443718i | −0.0151878 | + | 0.00445954i | ||||
\(100\) | 0.265365 | + | 0.170540i | 0.0265365 | + | 0.0170540i | ||||
\(101\) | 1.95257 | − | 4.27554i | 0.194288 | − | 0.425432i | −0.787266 | − | 0.616613i | \(-0.788504\pi\) |
0.981555 | + | 0.191181i | \(0.0612317\pi\) | |||||||
\(102\) | 3.93154 | + | 1.15440i | 0.389280 | + | 0.114303i | ||||
\(103\) | 3.18716 | + | 3.67818i | 0.314040 | + | 0.362422i | 0.890723 | − | 0.454546i | \(-0.150199\pi\) |
−0.576683 | + | 0.816968i | \(0.695653\pi\) | |||||||
\(104\) | 6.10862 | + | 7.04973i | 0.599000 | + | 0.691283i | ||||
\(105\) | 2.33660 | + | 0.686088i | 0.228029 | + | 0.0669553i | ||||
\(106\) | −4.67206 | + | 10.2304i | −0.453791 | + | 0.993663i | ||||
\(107\) | −12.4593 | − | 8.00713i | −1.20449 | − | 0.774079i | −0.224762 | − | 0.974414i | \(-0.572161\pi\) |
−0.979727 | + | 0.200335i | \(0.935797\pi\) | |||||||
\(108\) | 0.302663 | − | 0.0888698i | 0.0291237 | − | 0.00855150i | ||||
\(109\) | 0.709337 | − | 4.93355i | 0.0679422 | − | 0.472548i | −0.927237 | − | 0.374475i | \(-0.877823\pi\) |
0.995179 | − | 0.0980734i | \(-0.0312680\pi\) | |||||||
\(110\) | 0.0995564 | + | 0.217998i | 0.00949233 | + | 0.0207853i | ||||
\(111\) | −0.462430 | − | 3.21627i | −0.0438920 | − | 0.305275i | ||||
\(112\) | 9.28325 | − | 5.96598i | 0.877184 | − | 0.563732i | ||||
\(113\) | −0.0192078 | + | 0.0221670i | −0.00180692 | + | 0.00208530i | −0.756652 | − | 0.653817i | \(-0.773166\pi\) |
0.754845 | + | 0.655903i | \(0.227712\pi\) | |||||||
\(114\) | 5.40110 | 0.505859 | ||||||||
\(115\) | 2.91072 | + | 3.81152i | 0.271426 | + | 0.355426i | ||||
\(116\) | −0.865194 | −0.0803312 | ||||||||
\(117\) | 2.38309 | − | 2.75023i | 0.220317 | − | 0.254259i | ||||
\(118\) | −0.00891360 | + | 0.00572842i | −0.000820563 | + | 0.000527344i | ||||
\(119\) | −0.933247 | − | 6.49088i | −0.0855506 | − | 0.595018i | ||||
\(120\) | 1.06484 | + | 2.33168i | 0.0972064 | + | 0.212852i | ||||
\(121\) | 1.56193 | − | 10.8635i | 0.141994 | − | 0.987589i | ||||
\(122\) | −7.37349 | + | 2.16505i | −0.667564 | + | 0.196015i | ||||
\(123\) | −3.20123 | − | 2.05730i | −0.288645 | − | 0.185501i | ||||
\(124\) | 1.10655 | − | 2.42300i | 0.0993708 | − | 0.217592i | ||||
\(125\) | 0.959493 | + | 0.281733i | 0.0858197 | + | 0.0251989i | ||||
\(126\) | −2.42666 | − | 2.80051i | −0.216184 | − | 0.249489i | ||||
\(127\) | 9.09037 | + | 10.4908i | 0.806640 | + | 0.930912i | 0.998726 | − | 0.0504662i | \(-0.0160707\pi\) |
−0.192086 | + | 0.981378i | \(0.561525\pi\) | |||||||
\(128\) | 12.6965 | + | 3.72804i | 1.12222 | + | 0.329515i | ||||
\(129\) | 1.95287 | − | 4.27619i | 0.171941 | − | 0.376497i | ||||
\(130\) | −4.65838 | − | 2.99376i | −0.408567 | − | 0.262570i | ||||
\(131\) | 5.67287 | − | 1.66571i | 0.495641 | − | 0.145533i | −0.0243525 | − | 0.999703i | \(-0.507752\pi\) |
0.519994 | + | 0.854170i | \(0.325934\pi\) | |||||||
\(132\) | 0.00707030 | − | 0.0491750i | 0.000615390 | − | 0.00428013i | ||||
\(133\) | −3.59079 | − | 7.86273i | −0.311361 | − | 0.681786i | ||||
\(134\) | 1.74529 | + | 12.1388i | 0.150770 | + | 1.04863i | ||||
\(135\) | 0.841254 | − | 0.540641i | 0.0724036 | − | 0.0465310i | ||||
\(136\) | 4.52018 | − | 5.21657i | 0.387602 | − | 0.447317i | ||||
\(137\) | −0.000207022 | 0 | −1.76871e−5 | 0 | −8.84354e−6 | − | 1.00000i | \(-0.500003\pi\) | ||
−8.84354e−6 | 1.00000i | \(0.500003\pi\) | ||||||||
\(138\) | −0.590389 | − | 7.27369i | −0.0502572 | − | 0.619178i | ||||
\(139\) | −21.1954 | −1.79777 | −0.898886 | − | 0.438182i | \(-0.855622\pi\) | ||||
−0.898886 | + | 0.438182i | \(0.855622\pi\) | |||||||
\(140\) | −0.503047 | + | 0.580548i | −0.0425153 | + | 0.0490652i | ||||
\(141\) | 10.7055 | − | 6.88002i | 0.901568 | − | 0.579402i | ||||
\(142\) | 0.0380706 | + | 0.264787i | 0.00319482 | + | 0.0222204i | ||||
\(143\) | −0.238091 | − | 0.521347i | −0.0199102 | − | 0.0435973i | ||||
\(144\) | 0.644882 | − | 4.48526i | 0.0537402 | − | 0.373771i | ||||
\(145\) | −2.63171 | + | 0.772740i | −0.218552 | + | 0.0641725i | ||||
\(146\) | −4.76686 | − | 3.06348i | −0.394509 | − | 0.253535i | ||||
\(147\) | 0.444320 | − | 0.972926i | 0.0366469 | − | 0.0802455i | ||||
\(148\) | 0.983457 | + | 0.288769i | 0.0808397 | + | 0.0237367i | ||||
\(149\) | 5.34035 | + | 6.16309i | 0.437499 | + | 0.504900i | 0.931088 | − | 0.364795i | \(-0.118861\pi\) |
−0.493589 | + | 0.869695i | \(0.664315\pi\) | |||||||
\(150\) | −0.996473 | − | 1.14999i | −0.0813617 | − | 0.0938964i | ||||
\(151\) | 0.282936 | + | 0.0830777i | 0.0230250 | + | 0.00676076i | 0.293225 | − | 0.956044i | \(-0.405272\pi\) |
−0.270200 | + | 0.962804i | \(0.587090\pi\) | |||||||
\(152\) | 3.77964 | − | 8.27626i | 0.306569 | − | 0.671293i | ||||
\(153\) | −2.26533 | − | 1.45584i | −0.183141 | − | 0.117697i | ||||
\(154\) | −0.559979 | + | 0.164425i | −0.0451244 | + | 0.0132497i | ||||
\(155\) | 1.20177 | − | 8.35848i | 0.0965283 | − | 0.671369i | ||||
\(156\) | 0.476860 | + | 1.04418i | 0.0381793 | + | 0.0836011i | ||||
\(157\) | −2.60395 | − | 18.1109i | −0.207818 | − | 1.44541i | −0.780257 | − | 0.625460i | \(-0.784912\pi\) |
0.572438 | − | 0.819948i | \(-0.305998\pi\) | |||||||
\(158\) | −11.0073 | + | 7.07393i | −0.875690 | + | 0.562772i | ||||
\(159\) | 4.84015 | − | 5.58583i | 0.383849 | − | 0.442985i | ||||
\(160\) | −1.76856 | −0.139817 | ||||||||
\(161\) | −10.1963 | + | 5.69521i | −0.803580 | + | 0.448845i | ||||
\(162\) | −1.52166 | −0.119553 | ||||||||
\(163\) | −12.0608 | + | 13.9189i | −0.944675 | + | 1.09021i | 0.0511278 | + | 0.998692i | \(0.483718\pi\) |
−0.995803 | + | 0.0915213i | \(0.970827\pi\) | |||||||
\(164\) | 1.00980 | − | 0.648957i | 0.0788518 | − | 0.0506750i | ||||
\(165\) | −0.0224141 | − | 0.155893i | −0.00174493 | − | 0.0121363i | ||||
\(166\) | −4.51345 | − | 9.88309i | −0.350312 | − | 0.767076i | ||||
\(167\) | −2.80097 | + | 19.4812i | −0.216746 | + | 1.50750i | 0.533194 | + | 0.845993i | \(0.320992\pi\) |
−0.749939 | + | 0.661507i | \(0.769917\pi\) | |||||||
\(168\) | −5.98946 | + | 1.75866i | −0.462097 | + | 0.135684i | ||||
\(169\) | 0.204320 | + | 0.131308i | 0.0157169 | + | 0.0101006i | ||||
\(170\) | −1.70217 | + | 3.72723i | −0.130550 | + | 0.285866i | ||||
\(171\) | −3.40570 | − | 1.00001i | −0.260441 | − | 0.0764723i | ||||
\(172\) | 0.971085 | + | 1.12069i | 0.0740445 | + | 0.0854519i | ||||
\(173\) | −12.9533 | − | 14.9489i | −0.984819 | − | 1.13654i | −0.990632 | − | 0.136559i | \(-0.956396\pi\) |
0.00581266 | − | 0.999983i | \(-0.498150\pi\) | |||||||
\(174\) | 4.00456 | + | 1.17584i | 0.303585 | + | 0.0891405i | ||||
\(175\) | −1.01164 | + | 2.21518i | −0.0764726 | + | 0.167452i | ||||
\(176\) | −0.600382 | − | 0.385842i | −0.0452555 | − | 0.0290839i | ||||
\(177\) | 0.00668115 | − | 0.00196176i | 0.000502186 | − | 0.000147455i | ||||
\(178\) | 3.62580 | − | 25.2180i | 0.271765 | − | 1.89017i | ||||
\(179\) | 10.6834 | + | 23.3933i | 0.798511 | + | 1.74850i | 0.650495 | + | 0.759511i | \(0.274562\pi\) |
0.148016 | + | 0.988985i | \(0.452711\pi\) | |||||||
\(180\) | 0.0448918 | + | 0.312230i | 0.00334604 | + | 0.0232722i | ||||
\(181\) | 18.9274 | − | 12.1639i | 1.40686 | − | 0.904135i | 0.406905 | − | 0.913470i | \(-0.366608\pi\) |
0.999956 | + | 0.00933508i | \(0.00297149\pi\) | |||||||
\(182\) | 8.83079 | − | 10.1913i | 0.654582 | − | 0.755428i | ||||
\(183\) | 5.05027 | 0.373327 | ||||||||
\(184\) | −11.5588 | − | 4.18540i | −0.852129 | − | 0.308551i | ||||
\(185\) | 3.24935 | 0.238897 | ||||||||
\(186\) | −8.41465 | + | 9.71102i | −0.616992 | + | 0.712047i | ||||
\(187\) | −0.356780 | + | 0.229289i | −0.0260904 | + | 0.0167673i | ||||
\(188\) | 0.571279 | + | 3.97333i | 0.0416648 | + | 0.289785i | ||||
\(189\) | 1.01164 | + | 2.21518i | 0.0735858 | + | 0.161130i | ||||
\(190\) | −0.768656 | + | 5.34612i | −0.0557642 | + | 0.387848i | ||||
\(191\) | −13.4565 | + | 3.95119i | −0.973679 | + | 0.285898i | −0.729613 | − | 0.683861i | \(-0.760300\pi\) |
−0.244066 | + | 0.969759i | \(0.578481\pi\) | |||||||
\(192\) | −5.36014 | − | 3.44476i | −0.386835 | − | 0.248604i | ||||
\(193\) | 2.19353 | − | 4.80315i | 0.157894 | − | 0.345739i | −0.814108 | − | 0.580714i | \(-0.802774\pi\) |
0.972001 | + | 0.234975i | \(0.0755009\pi\) | |||||||
\(194\) | 20.5404 | + | 6.03121i | 1.47472 | + | 0.433016i | ||||
\(195\) | 2.38309 | + | 2.75023i | 0.170656 | + | 0.196948i | ||||
\(196\) | 0.220943 | + | 0.254982i | 0.0157816 | + | 0.0182130i | ||||
\(197\) | −12.4272 | − | 3.64895i | −0.885400 | − | 0.259977i | −0.192748 | − | 0.981248i | \(-0.561740\pi\) |
−0.692653 | + | 0.721271i | \(0.743558\pi\) | |||||||
\(198\) | −0.0995564 | + | 0.217998i | −0.00707517 | + | 0.0154925i | ||||
\(199\) | 0.784100 | + | 0.503910i | 0.0555833 | + | 0.0357212i | 0.568137 | − | 0.822934i | \(-0.307664\pi\) |
−0.512554 | + | 0.858655i | \(0.671301\pi\) | |||||||
\(200\) | −2.45949 | + | 0.722171i | −0.173912 | + | 0.0510652i | ||||
\(201\) | 1.14697 | − | 7.97733i | 0.0809008 | − | 0.562677i | ||||
\(202\) | −2.97115 | − | 6.50591i | −0.209049 | − | 0.457754i | ||||
\(203\) | −0.950581 | − | 6.61143i | −0.0667177 | − | 0.464032i | ||||
\(204\) | 0.714575 | − | 0.459230i | 0.0500303 | − | 0.0321525i | ||||
\(205\) | 2.49195 | − | 2.87586i | 0.174045 | − | 0.200859i | ||||
\(206\) | 7.40580 | 0.515986 | ||||||||
\(207\) | −0.974439 | + | 4.69579i | −0.0677282 | + | 0.326380i | ||||
\(208\) | 16.4900 | 1.14338 | ||||||||
\(209\) | −0.366087 | + | 0.422487i | −0.0253228 | + | 0.0292240i | ||||
\(210\) | 3.11736 | − | 2.00340i | 0.215118 | − | 0.138248i | ||||
\(211\) | −1.09032 | − | 7.58337i | −0.0750610 | − | 0.522061i | −0.992313 | − | 0.123753i | \(-0.960507\pi\) |
0.917252 | − | 0.398307i | \(-0.130402\pi\) | |||||||
\(212\) | 0.968521 | + | 2.12076i | 0.0665183 | + | 0.145655i | ||||
\(213\) | 0.0250192 | − | 0.174012i | 0.00171429 | − | 0.0119231i | ||||
\(214\) | −21.6235 | + | 6.34924i | −1.47815 | + | 0.434025i | ||||
\(215\) | 3.95474 | + | 2.54156i | 0.269711 | + | 0.173333i | ||||
\(216\) | −1.06484 | + | 2.33168i | −0.0724534 | + | 0.158651i | ||||
\(217\) | 19.7313 | + | 5.79362i | 1.33944 | + | 0.393297i | ||||
\(218\) | −4.96671 | − | 5.73188i | −0.336388 | − | 0.388212i | ||||
\(219\) | 2.43859 | + | 2.81428i | 0.164784 | + | 0.190171i | ||||
\(220\) | 0.0476683 | + | 0.0139967i | 0.00321379 | + | 0.000943655i | ||||
\(221\) | 4.07078 | − | 8.91376i | 0.273830 | − | 0.599604i | ||||
\(222\) | −4.15949 | − | 2.67314i | −0.279167 | − | 0.179409i | ||||
\(223\) | 24.0413 | − | 7.05917i | 1.60993 | − | 0.472717i | 0.651640 | − | 0.758529i | \(-0.274081\pi\) |
0.958286 | + | 0.285812i | \(0.0922633\pi\) | |||||||
\(224\) | 0.612932 | − | 4.26304i | 0.0409533 | − | 0.284836i | ||||
\(225\) | 0.415415 | + | 0.909632i | 0.0276943 | + | 0.0606421i | ||||
\(226\) | 0.00635179 | + | 0.0441776i | 0.000422515 | + | 0.00293865i | ||||
\(227\) | −12.5684 | + | 8.07719i | −0.834191 | + | 0.536102i | −0.886607 | − | 0.462523i | \(-0.846944\pi\) |
0.0524161 | + | 0.998625i | \(0.483308\pi\) | |||||||
\(228\) | 0.733215 | − | 0.846175i | 0.0485584 | − | 0.0560393i | ||||
\(229\) | 15.4474 | 1.02079 | 0.510397 | − | 0.859939i | \(-0.329498\pi\) | ||||
0.510397 | + | 0.859939i | \(0.329498\pi\) | |||||||
\(230\) | 7.28368 | + | 0.450775i | 0.480271 | + | 0.0297232i | ||||
\(231\) | 0.383542 | 0.0252352 | ||||||||
\(232\) | 4.60414 | − | 5.31346i | 0.302276 | − | 0.348846i | ||||
\(233\) | 9.60483 | − | 6.17265i | 0.629233 | − | 0.404384i | −0.186792 | − | 0.982399i | \(-0.559809\pi\) |
0.816026 | + | 0.578016i | \(0.196173\pi\) | |||||||
\(234\) | −0.788058 | − | 5.48106i | −0.0515170 | − | 0.358308i | ||||
\(235\) | 5.28644 | + | 11.5757i | 0.344849 | + | 0.755114i | ||||
\(236\) | −0.000312591 | 0.00217412i | −2.03480e−5 | 0.000141523i | ||||||
\(237\) | 8.25044 | − | 2.42255i | 0.535924 | − | 0.157361i | ||||
\(238\) | −8.39441 | − | 5.39476i | −0.544129 | − | 0.349690i | ||||
\(239\) | −2.69071 | + | 5.89183i | −0.174048 | + | 0.381111i | −0.976472 | − | 0.215642i | \(-0.930816\pi\) |
0.802425 | + | 0.596753i | \(0.203543\pi\) | |||||||
\(240\) | 4.34783 | + | 1.27664i | 0.280651 | + | 0.0824065i | ||||
\(241\) | 5.77643 | + | 6.66636i | 0.372093 | + | 0.429418i | 0.910655 | − | 0.413168i | \(-0.135578\pi\) |
−0.538562 | + | 0.842586i | \(0.681032\pi\) | |||||||
\(242\) | −10.9365 | − | 12.6214i | −0.703024 | − | 0.811333i | ||||
\(243\) | 0.959493 | + | 0.281733i | 0.0615515 | + | 0.0180732i | ||||
\(244\) | −0.661780 | + | 1.44910i | −0.0423661 | + | 0.0927689i | ||||
\(245\) | 0.899789 | + | 0.578259i | 0.0574854 | + | 0.0369436i | ||||
\(246\) | −5.55582 | + | 1.63134i | −0.354226 | + | 0.104010i | ||||
\(247\) | 1.83826 | − | 12.7854i | 0.116966 | − | 0.813513i | ||||
\(248\) | 8.99199 | + | 19.6897i | 0.570992 | + | 1.25030i | ||||
\(249\) | 1.01616 | + | 7.06752i | 0.0643963 | + | 0.447886i | ||||
\(250\) | 1.28010 | − | 0.822670i | 0.0809606 | − | 0.0520302i | ||||
\(251\) | −4.54187 | + | 5.24159i | −0.286680 | + | 0.330846i | −0.880763 | − | 0.473557i | \(-0.842970\pi\) |
0.594083 | + | 0.804404i | \(0.297515\pi\) | |||||||
\(252\) | −0.768175 | −0.0483904 | ||||||||
\(253\) | 0.608982 | + | 0.446830i | 0.0382864 | + | 0.0280920i | ||||
\(254\) | 21.1227 | 1.32536 | ||||||||
\(255\) | 1.76341 | − | 2.03508i | 0.110429 | − | 0.127442i | ||||
\(256\) | 6.21867 | − | 3.99650i | 0.388667 | − | 0.249781i | ||||
\(257\) | 3.22549 | + | 22.4337i | 0.201200 | + | 1.39938i | 0.800730 | + | 0.599026i | \(0.204445\pi\) |
−0.599529 | + | 0.800353i | \(0.704646\pi\) | |||||||
\(258\) | −2.97160 | − | 6.50689i | −0.185004 | − | 0.405101i | ||||
\(259\) | −1.12613 | + | 7.83242i | −0.0699744 | + | 0.486683i | ||||
\(260\) | −1.10141 | + | 0.323404i | −0.0683067 | + | 0.0200567i | ||||
\(261\) | −2.30740 | − | 1.48288i | −0.142825 | − | 0.0917877i | ||||
\(262\) | 3.73732 | − | 8.18359i | 0.230892 | − | 0.505584i | ||||
\(263\) | 9.47605 | + | 2.78242i | 0.584318 | + | 0.171571i | 0.560513 | − | 0.828145i | \(-0.310604\pi\) |
0.0238047 | + | 0.999717i | \(0.492422\pi\) | |||||||
\(264\) | 0.264376 | + | 0.305106i | 0.0162712 | + | 0.0187780i | ||||
\(265\) | 4.84015 | + | 5.58583i | 0.297328 | + | 0.343135i | ||||
\(266\) | −12.6202 | − | 3.70563i | −0.773795 | − | 0.227207i | ||||
\(267\) | −6.95534 | + | 15.2301i | −0.425660 | + | 0.932066i | ||||
\(268\) | 2.13868 | + | 1.37444i | 0.130640 | + | 0.0839575i | ||||
\(269\) | −6.80693 | + | 1.99870i | −0.415026 | + | 0.121863i | −0.482578 | − | 0.875853i | \(-0.660299\pi\) |
0.0675517 | + | 0.997716i | \(0.478481\pi\) | |||||||
\(270\) | 0.216554 | − | 1.50617i | 0.0131791 | − | 0.0916625i | ||||
\(271\) | 5.90629 | + | 12.9330i | 0.358781 | + | 0.785621i | 0.999836 | + | 0.0181260i | \(0.00577001\pi\) |
−0.641054 | + | 0.767495i | \(0.721503\pi\) | |||||||
\(272\) | −1.73654 | − | 12.0779i | −0.105293 | − | 0.732330i | ||||
\(273\) | −7.45522 | + | 4.79118i | −0.451211 | + | 0.289976i | ||||
\(274\) | −0.000206292 | 0 | 0.000238074i | −1.24626e−5 | 0 | 1.43826e-5i | ||||
\(275\) | 0.157496 | 0.00949738 | ||||||||
\(276\) | −1.21970 | − | 0.894931i | −0.0734171 | − | 0.0538685i | ||||
\(277\) | −16.7847 | −1.00849 | −0.504246 | − | 0.863560i | \(-0.668230\pi\) | ||||
−0.504246 | + | 0.863560i | \(0.668230\pi\) | |||||||
\(278\) | −21.1207 | + | 24.3746i | −1.26673 | + | 1.46189i | ||||
\(279\) | 7.10391 | − | 4.56540i | 0.425300 | − | 0.273324i | ||||
\(280\) | −0.888374 | − | 6.17878i | −0.0530905 | − | 0.369253i | ||||
\(281\) | −0.252366 | − | 0.552605i | −0.0150549 | − | 0.0329656i | 0.901955 | − | 0.431830i | \(-0.142132\pi\) |
−0.917010 | + | 0.398864i | \(0.869405\pi\) | |||||||
\(282\) | 2.75580 | − | 19.1670i | 0.164106 | − | 1.14138i | ||||
\(283\) | 20.3943 | − | 5.98829i | 1.21231 | − | 0.355967i | 0.387764 | − | 0.921759i | \(-0.373247\pi\) |
0.824548 | + | 0.565792i | \(0.191429\pi\) | |||||||
\(284\) | 0.0466517 | + | 0.0299812i | 0.00276827 | + | 0.00177906i | ||||
\(285\) | 1.47451 | − | 3.22872i | 0.0873424 | − | 0.191253i | ||||
\(286\) | −0.836797 | − | 0.245706i | −0.0494808 | − | 0.0145289i | ||||
\(287\) | 6.06850 | + | 7.00342i | 0.358212 | + | 0.413399i | ||||
\(288\) | −1.15816 | − | 1.33659i | −0.0682452 | − | 0.0787592i | ||||
\(289\) | 9.35394 | + | 2.74656i | 0.550232 | + | 0.161563i | ||||
\(290\) | −1.73378 | + | 3.79646i | −0.101811 | + | 0.222936i | ||||
\(291\) | −11.8353 | − | 7.60606i | −0.693795 | − | 0.445875i | ||||
\(292\) | −1.12706 | + | 0.330936i | −0.0659564 | + | 0.0193665i | ||||
\(293\) | −0.0884562 | + | 0.615226i | −0.00516766 | + | 0.0359419i | −0.992242 | − | 0.124320i | \(-0.960325\pi\) |
0.987074 | + | 0.160262i | \(0.0512340\pi\) | |||||||
\(294\) | −0.676103 | − | 1.48046i | −0.0394311 | − | 0.0863421i | ||||
\(295\) | 0.000990968 | 0.00689233i | 5.76964e−5 | 0.000401287i | ||||||
\(296\) | −7.00691 | + | 4.50307i | −0.407268 | + | 0.261735i | ||||
\(297\) | 0.103138 | − | 0.119028i | 0.00598468 | − | 0.00690669i | ||||
\(298\) | 12.4090 | 0.718836 | ||||||||
\(299\) | −17.4191 | − | 1.07804i | −1.00737 | − | 0.0623445i | ||||
\(300\) | −0.315440 | −0.0182120 | ||||||||
\(301\) | −7.49691 | + | 8.65190i | −0.432115 | + | 0.498687i | ||||
\(302\) | 0.377477 | − | 0.242590i | 0.0217214 | − | 0.0139595i | ||||
\(303\) | 0.668922 | + | 4.65245i | 0.0384286 | + | 0.267277i | ||||
\(304\) | −6.68156 | − | 14.6306i | −0.383214 | − | 0.839121i | ||||
\(305\) | −0.718728 | + | 4.99886i | −0.0411543 | + | 0.286234i | ||||
\(306\) | −3.93154 | + | 1.15440i | −0.224751 | + | 0.0659929i | ||||
\(307\) | −9.33878 | − | 6.00167i | −0.532992 | − | 0.342533i | 0.246300 | − | 0.969194i | \(-0.420785\pi\) |
−0.779293 | + | 0.626660i | \(0.784421\pi\) | |||||||
\(308\) | −0.0502588 | + | 0.110051i | −0.00286376 | + | 0.00627077i | ||||
\(309\) | −4.66978 | − | 1.37117i | −0.265655 | − | 0.0780033i | ||||
\(310\) | −8.41465 | − | 9.71102i | −0.477920 | − | 0.551549i | ||||
\(311\) | 1.21051 | + | 1.39701i | 0.0686420 | + | 0.0792171i | 0.789032 | − | 0.614352i | \(-0.210583\pi\) |
−0.720390 | + | 0.693569i | \(0.756037\pi\) | |||||||
\(312\) | −8.95027 | − | 2.62804i | −0.506709 | − | 0.148783i | ||||
\(313\) | 5.36695 | − | 11.7520i | 0.303358 | − | 0.664262i | −0.695150 | − | 0.718865i | \(-0.744662\pi\) |
0.998508 | + | 0.0546031i | \(0.0173894\pi\) | |||||||
\(314\) | −23.4222 | − | 15.0525i | −1.32179 | − | 0.849462i | ||||
\(315\) | −2.33660 | + | 0.686088i | −0.131653 | + | 0.0386567i | ||||
\(316\) | −0.386014 | + | 2.68478i | −0.0217150 | + | 0.151031i | ||||
\(317\) | 10.0430 | + | 21.9910i | 0.564068 | + | 1.23514i | 0.949896 | + | 0.312567i | \(0.101189\pi\) |
−0.385827 | + | 0.922571i | \(0.626084\pi\) | |||||||
\(318\) | −1.60058 | − | 11.1323i | −0.0897559 | − | 0.624266i | ||||
\(319\) | −0.363407 | + | 0.233547i | −0.0203469 | + | 0.0130761i | ||||
\(320\) | 4.17252 | − | 4.81535i | 0.233251 | − | 0.269186i | ||||
\(321\) | 14.8104 | 0.826639 | ||||||||
\(322\) | −3.61089 | + | 17.4008i | −0.201227 | + | 0.969707i | ||||
\(323\) | −9.55804 | −0.531824 | ||||||||
\(324\) | −0.206570 | + | 0.238394i | −0.0114761 | + | 0.0132441i | ||||
\(325\) | −3.06139 | + | 1.96743i | −0.169815 | + | 0.109134i | ||||
\(326\) | 3.98836 | + | 27.7397i | 0.220895 | + | 1.53636i | ||||
\(327\) | 2.07055 | + | 4.53386i | 0.114501 | + | 0.250723i | ||||
\(328\) | −1.38817 | + | 9.65494i | −0.0766489 | + | 0.533105i | ||||
\(329\) | −29.7348 | + | 8.73093i | −1.63933 | + | 0.481352i | ||||
\(330\) | −0.201611 | − | 0.129567i | −0.0110983 | − | 0.00713245i | ||||
\(331\) | −3.91271 | + | 8.56764i | −0.215062 | + | 0.470920i | −0.986160 | − | 0.165796i | \(-0.946981\pi\) |
0.771098 | + | 0.636716i | \(0.219708\pi\) | |||||||
\(332\) | −2.16107 | − | 0.634548i | −0.118604 | − | 0.0348253i | ||||
\(333\) | 2.12787 | + | 2.45569i | 0.116607 | + | 0.134571i | ||||
\(334\) | 19.6121 | + | 22.6336i | 1.07313 | + | 1.23845i | ||||
\(335\) | 7.73290 | + | 2.27058i | 0.422494 | + | 0.124055i | ||||
\(336\) | −4.58411 | + | 10.0378i | −0.250084 | + | 0.547607i | ||||
\(337\) | −24.4854 | − | 15.7358i | −1.33381 | − | 0.857186i | −0.337358 | − | 0.941377i | \(-0.609533\pi\) |
−0.996450 | + | 0.0841908i | \(0.973169\pi\) | |||||||
\(338\) | 0.354603 | − | 0.104121i | 0.0192879 | − | 0.00566343i | ||||
\(339\) | 0.00417426 | − | 0.0290326i | 0.000226714 | − | 0.00157683i | ||||
\(340\) | 0.352861 | + | 0.772657i | 0.0191366 | + | 0.0419032i | ||||
\(341\) | −0.189274 | − | 1.31643i | −0.0102498 | − | 0.0712886i | ||||
\(342\) | −4.54369 | + | 2.92005i | −0.245695 | + | 0.157898i | ||||
\(343\) | −12.8689 | + | 14.8515i | −0.694857 | + | 0.801908i | ||||
\(344\) | −12.0502 | −0.649703 | ||||||||
\(345\) | −4.50932 | − | 1.63280i | −0.242774 | − | 0.0879071i | ||||
\(346\) | −30.0987 | −1.61812 | ||||||||
\(347\) | −8.29742 | + | 9.57574i | −0.445429 | + | 0.514052i | −0.933415 | − | 0.358799i | \(-0.883186\pi\) |
0.487986 | + | 0.872852i | \(0.337732\pi\) | |||||||
\(348\) | 0.727847 | − | 0.467759i | 0.0390167 | − | 0.0250745i | ||||
\(349\) | −0.579004 | − | 4.02706i | −0.0309934 | − | 0.215564i | 0.968439 | − | 0.249250i | \(-0.0801842\pi\) |
−0.999432 | + | 0.0336867i | \(0.989275\pi\) | |||||||
\(350\) | 1.53937 | + | 3.37074i | 0.0822825 | + | 0.180174i | ||||
\(351\) | −0.517895 | + | 3.60204i | −0.0276432 | + | 0.192262i | ||||
\(352\) | −0.267259 | + | 0.0784742i | −0.0142449 | + | 0.00418269i | ||||
\(353\) | 8.42894 | + | 5.41695i | 0.448627 | + | 0.288315i | 0.745381 | − | 0.666639i | \(-0.232268\pi\) |
−0.296754 | + | 0.954954i | \(0.595904\pi\) | |||||||
\(354\) | 0.00440158 | − | 0.00963811i | 0.000233941 | − | 0.000512260i | ||||
\(355\) | 0.168681 | + | 0.0495291i | 0.00895264 | + | 0.00262873i | ||||
\(356\) | −3.45862 | − | 3.99146i | −0.183306 | − | 0.211547i | ||||
\(357\) | 4.29433 | + | 4.95592i | 0.227280 | + | 0.262295i | ||||
\(358\) | 37.5478 | + | 11.0250i | 1.98446 | + | 0.582690i | ||||
\(359\) | 15.0884 | − | 33.0390i | 0.796336 | − | 1.74373i | 0.138786 | − | 0.990322i | \(-0.455680\pi\) |
0.657550 | − | 0.753411i | \(-0.271593\pi\) | |||||||
\(360\) | −2.15640 | − | 1.38584i | −0.113652 | − | 0.0730400i | ||||
\(361\) | 6.14187 | − | 1.80342i | 0.323256 | − | 0.0949167i | ||||
\(362\) | 4.87226 | − | 33.8873i | 0.256081 | − | 1.78108i | ||||
\(363\) | 4.55926 | + | 9.98339i | 0.239299 | + | 0.523992i | ||||
\(364\) | −0.397833 | − | 2.76699i | −0.0208521 | − | 0.145030i | ||||
\(365\) | −3.13268 | + | 2.01325i | −0.163972 | + | 0.105378i | ||||
\(366\) | 5.03246 | − | 5.80777i | 0.263051 | − | 0.303577i | ||||
\(367\) | 3.48523 | 0.181927 | 0.0909637 | − | 0.995854i | \(-0.471005\pi\) | ||||
0.0909637 | + | 0.995854i | \(0.471005\pi\) | |||||||
\(368\) | −18.9727 | + | 10.5973i | −0.989021 | + | 0.552425i | ||||
\(369\) | 3.80531 | 0.198096 | ||||||||
\(370\) | 3.23789 | − | 3.73672i | 0.168330 | − | 0.194263i | ||||
\(371\) | −15.1419 | + | 9.73108i | −0.786126 | + | 0.505213i | ||||
\(372\) | 0.379086 | + | 2.63660i | 0.0196547 | + | 0.136701i | ||||
\(373\) | −2.80648 | − | 6.14534i | −0.145314 | − | 0.318193i | 0.822954 | − | 0.568108i | \(-0.192325\pi\) |
−0.968268 | + | 0.249915i | \(0.919597\pi\) | |||||||
\(374\) | −0.0918420 | + | 0.638775i | −0.00474903 | + | 0.0330303i | ||||
\(375\) | −0.959493 | + | 0.281733i | −0.0495480 | + | 0.0145486i | ||||
\(376\) | −27.4417 | − | 17.6357i | −1.41520 | − | 0.909492i | ||||
\(377\) | 4.14638 | − | 9.07931i | 0.213550 | − | 0.467608i | ||||
\(378\) | 3.55550 | + | 1.04399i | 0.182875 | + | 0.0536971i | ||||
\(379\) | −15.9069 | − | 18.3576i | −0.817084 | − | 0.942965i | 0.182103 | − | 0.983279i | \(-0.441709\pi\) |
−0.999187 | + | 0.0403147i | \(0.987164\pi\) | |||||||
\(380\) | 0.733215 | + | 0.846175i | 0.0376131 | + | 0.0434079i | ||||
\(381\) | −13.3191 | − | 3.91084i | −0.682357 | − | 0.200358i | ||||
\(382\) | −8.86522 | + | 19.4121i | −0.453584 | + | 0.993211i | ||||
\(383\) | 29.7253 | + | 19.1033i | 1.51889 | + | 0.976133i | 0.992005 | + | 0.126197i | \(0.0402771\pi\) |
0.526887 | + | 0.849936i | \(0.323359\pi\) | |||||||
\(384\) | −12.6965 | + | 3.72804i | −0.647917 | + | 0.190245i | ||||
\(385\) | −0.0545837 | + | 0.379638i | −0.00278184 | + | 0.0193481i | ||||
\(386\) | −3.33780 | − | 7.30875i | −0.169889 | − | 0.372006i | ||||
\(387\) | 0.669023 | + | 4.65316i | 0.0340084 | + | 0.236533i | ||||
\(388\) | 3.73332 | − | 2.39926i | 0.189530 | − | 0.121804i | ||||
\(389\) | 0.0874399 | − | 0.100911i | 0.00443338 | − | 0.00511639i | −0.753529 | − | 0.657415i | \(-0.771650\pi\) |
0.757962 | + | 0.652299i | \(0.226195\pi\) | |||||||
\(390\) | 5.53743 | 0.280398 | ||||||||
\(391\) | 1.04478 | + | 12.8719i | 0.0528368 | + | 0.650959i | ||||
\(392\) | −2.74168 | −0.138476 | ||||||||
\(393\) | −3.87178 | + | 4.46827i | −0.195305 | + | 0.225394i | ||||
\(394\) | −16.5796 | + | 10.6551i | −0.835269 | + | 0.536795i | ||||
\(395\) | 1.22373 | + | 8.51123i | 0.0615725 | + | 0.428246i | ||||
\(396\) | 0.0206381 | + | 0.0451911i | 0.00103710 | + | 0.00227094i | ||||
\(397\) | 0.0567723 | − | 0.394860i | 0.00284932 | − | 0.0198175i | −0.988347 | − | 0.152216i | \(-0.951359\pi\) |
0.991197 | + | 0.132399i | \(0.0422680\pi\) | |||||||
\(398\) | 1.36083 | − | 0.399575i | 0.0682121 | − | 0.0200289i | ||||
\(399\) | 7.27168 | + | 4.67323i | 0.364039 | + | 0.233954i | ||||
\(400\) | −1.88240 | + | 4.12189i | −0.0941201 | + | 0.206094i | ||||
\(401\) | −2.85252 | − | 0.837576i | −0.142448 | − | 0.0418266i | 0.209731 | − | 0.977759i | \(-0.432741\pi\) |
−0.352179 | + | 0.935933i | \(0.614559\pi\) | |||||||
\(402\) | −8.03094 | − | 9.26820i | −0.400547 | − | 0.462256i | ||||
\(403\) | 20.1238 | + | 23.2241i | 1.00244 | + | 1.15688i | ||||
\(404\) | −1.42261 | − | 0.417715i | −0.0707772 | − | 0.0207821i | ||||
\(405\) | −0.415415 | + | 0.909632i | −0.0206421 | + | 0.0452000i | ||||
\(406\) | −8.55032 | − | 5.49496i | −0.424345 | − | 0.272710i | ||||
\(407\) | 0.491030 | − | 0.144180i | 0.0243395 | − | 0.00714671i | ||||
\(408\) | −0.982330 | + | 6.83225i | −0.0486326 | + | 0.338247i | ||||
\(409\) | −15.0543 | − | 32.9644i | −0.744388 | − | 1.62998i | −0.776198 | − | 0.630489i | \(-0.782854\pi\) |
0.0318102 | − | 0.999494i | \(-0.489873\pi\) | |||||||
\(410\) | −0.824056 | − | 5.73143i | −0.0406972 | − | 0.283055i | ||||
\(411\) | 0.000174158 | 0 | 0.000111925i | 8.59058e−6 | 0 | 5.52083e-6i | ||||
\(412\) | 1.00536 | − | 1.16025i | 0.0495305 | − | 0.0571612i | ||||
\(413\) | −0.0169571 | −0.000834405 | ||||||||
\(414\) | 4.42912 | + | 5.79983i | 0.217679 | + | 0.285046i | ||||
\(415\) | −7.14020 | −0.350498 | ||||||||
\(416\) | 4.21463 | − | 4.86395i | 0.206639 | − | 0.238475i | ||||
\(417\) | 17.8307 | − | 11.4591i | 0.873174 | − | 0.561155i | ||||
\(418\) | 0.121061 | + | 0.841994i | 0.00592126 | + | 0.0411833i | ||||
\(419\) | −7.43868 | − | 16.2884i | −0.363403 | − | 0.795742i | −0.999705 | − | 0.0243015i | \(-0.992264\pi\) |
0.636301 | − | 0.771440i | \(-0.280463\pi\) | |||||||
\(420\) | 0.109323 | − | 0.760356i | 0.00533440 | − | 0.0371016i | ||||
\(421\) | 10.3459 | − | 3.03782i | 0.504226 | − | 0.148054i | −0.0197201 | − | 0.999806i | \(-0.506278\pi\) |
0.523946 | + | 0.851751i | \(0.324459\pi\) | |||||||
\(422\) | −9.80730 | − | 6.30277i | −0.477412 | − | 0.306814i | ||||
\(423\) | −5.28644 | + | 11.5757i | −0.257035 | + | 0.562829i | ||||
\(424\) | −18.1784 | − | 5.33765i | −0.882819 | − | 0.259219i | ||||
\(425\) | 1.76341 | + | 2.03508i | 0.0855379 | + | 0.0987159i | ||||
\(426\) | −0.175182 | − | 0.202171i | −0.00848759 | − | 0.00979520i | ||||
\(427\) | −11.8005 | − | 3.46493i | −0.571064 | − | 0.167680i | ||||
\(428\) | −1.94074 | + | 4.24963i | −0.0938093 | + | 0.205414i | ||||
\(429\) | 0.482157 | + | 0.309863i | 0.0232788 | + | 0.0149603i | ||||
\(430\) | 6.86356 | − | 2.01532i | 0.330990 | − | 0.0971875i | ||||
\(431\) | 3.62660 | − | 25.2235i | 0.174687 | − | 1.21498i | −0.694133 | − | 0.719847i | \(-0.744212\pi\) |
0.868820 | − | 0.495128i | \(-0.164879\pi\) | |||||||
\(432\) | 1.88240 | + | 4.12189i | 0.0905671 | + | 0.198314i | ||||
\(433\) | 4.22440 | + | 29.3813i | 0.203012 | + | 1.41198i | 0.795283 | + | 0.606238i | \(0.207322\pi\) |
−0.592271 | + | 0.805739i | \(0.701769\pi\) | |||||||
\(434\) | 26.3243 | − | 16.9176i | 1.26361 | − | 0.812070i | ||||
\(435\) | 1.79616 | − | 2.07288i | 0.0861193 | − | 0.0993870i | ||||
\(436\) | −1.57224 | −0.0752968 | ||||||||
\(437\) | 6.10152 | + | 15.8917i | 0.291875 | + | 0.760201i | ||||
\(438\) | 5.66638 | 0.270750 | ||||||||
\(439\) | 7.16726 | − | 8.27146i | 0.342075 | − | 0.394775i | −0.558480 | − | 0.829518i | \(-0.688615\pi\) |
0.900555 | + | 0.434743i | \(0.143161\pi\) | |||||||
\(440\) | −0.339626 | + | 0.218264i | −0.0161910 | + | 0.0104053i | ||||
\(441\) | 0.152217 | + | 1.05869i | 0.00724844 | + | 0.0504140i | ||||
\(442\) | −6.19432 | − | 13.5637i | −0.294634 | − | 0.645158i | ||||
\(443\) | 2.12556 | − | 14.7836i | 0.100988 | − | 0.702389i | −0.874929 | − | 0.484250i | \(-0.839092\pi\) |
0.975918 | − | 0.218139i | \(-0.0699985\pi\) | |||||||
\(444\) | −0.983457 | + | 0.288769i | −0.0466728 | + | 0.0137044i | ||||
\(445\) | −14.0852 | − | 9.05201i | −0.667703 | − | 0.429107i | ||||
\(446\) | 15.8385 | − | 34.6816i | 0.749977 | − | 1.64222i | ||||
\(447\) | −7.82461 | − | 2.29751i | −0.370091 | − | 0.108669i | ||||
\(448\) | 10.1611 | + | 11.7265i | 0.480067 | + | 0.554027i | ||||
\(449\) | 18.5376 | + | 21.3935i | 0.874843 | + | 1.00962i | 0.999847 | + | 0.0174668i | \(0.00556015\pi\) |
−0.125004 | + | 0.992156i | \(0.539894\pi\) | |||||||
\(450\) | 1.46002 | + | 0.428700i | 0.0688260 | + | 0.0202091i | ||||
\(451\) | 0.248967 | − | 0.545162i | 0.0117234 | − | 0.0256707i | ||||
\(452\) | 0.00778347 | + | 0.00500213i | 0.000366104 | + | 0.000235280i | ||||
\(453\) | −0.282936 | + | 0.0830777i | −0.0132935 | + | 0.00390333i | ||||
\(454\) | −3.23533 | + | 22.5022i | −0.151842 | + | 1.05608i | ||||
\(455\) | −3.68143 | − | 8.06120i | −0.172588 | − | 0.377915i | ||||
\(456\) | 1.29485 | + | 9.00586i | 0.0606368 | + | 0.421738i | ||||
\(457\) | −19.4758 | + | 12.5164i | −0.911041 | + | 0.585490i | −0.910045 | − | 0.414509i | \(-0.863953\pi\) |
−0.000995595 | 1.00000i | \(0.500317\pi\) | ||||||||
\(458\) | 15.3930 | − | 17.7644i | 0.719265 | − | 0.830076i | ||||
\(459\) | 2.69280 | 0.125689 | ||||||||
\(460\) | 1.05940 | − | 1.07992i | 0.0493949 | − | 0.0503515i | ||||
\(461\) | −7.63289 | −0.355499 | −0.177749 | − | 0.984076i | \(-0.556882\pi\) | ||||
−0.177749 | + | 0.984076i | \(0.556882\pi\) | |||||||
\(462\) | 0.382189 | − | 0.441070i | 0.0177811 | − | 0.0205204i | ||||
\(463\) | 20.5374 | − | 13.1986i | 0.954454 | − | 0.613390i | 0.0319962 | − | 0.999488i | \(-0.489814\pi\) |
0.922458 | + | 0.386098i | \(0.126177\pi\) | |||||||
\(464\) | −1.76879 | − | 12.3022i | −0.0821141 | − | 0.571116i | ||||
\(465\) | 3.50794 | + | 7.68132i | 0.162677 | + | 0.356213i | ||||
\(466\) | 2.47246 | − | 17.1964i | 0.114535 | − | 0.796606i | ||||
\(467\) | 36.6442 | − | 10.7597i | 1.69569 | − | 0.497900i | 0.715948 | − | 0.698154i | \(-0.245995\pi\) |
0.979744 | + | 0.200254i | \(0.0641768\pi\) | |||||||
\(468\) | −0.965685 | − | 0.620608i | −0.0446388 | − | 0.0286876i | ||||
\(469\) | −8.15315 | + | 17.8529i | −0.376478 | + | 0.824371i | ||||
\(470\) | 18.5797 | + | 5.45550i | 0.857019 | + | 0.251644i | ||||
\(471\) | 11.9821 | + | 13.8281i | 0.552105 | + | 0.637163i | ||||
\(472\) | −0.0116886 | − | 0.0134893i | −0.000538010 | − | 0.000620897i | ||||
\(473\) | 0.710400 | + | 0.208592i | 0.0326642 | + | 0.00959108i | ||||
\(474\) | 5.43543 | − | 11.9019i | 0.249658 | − | 0.546674i | ||||
\(475\) | 2.98602 | + | 1.91900i | 0.137008 | + | 0.0880496i | ||||
\(476\) | −1.98475 | + | 0.582775i | −0.0909708 | + | 0.0267114i | ||||
\(477\) | −1.05186 | + | 7.31588i | −0.0481616 | + | 0.334971i | ||||
\(478\) | 4.09434 | + | 8.96535i | 0.187271 | + | 0.410066i | ||||
\(479\) | −4.90353 | − | 34.1048i | −0.224048 | − | 1.55829i | −0.722500 | − | 0.691371i | \(-0.757007\pi\) |
0.498451 | − | 0.866918i | \(-0.333902\pi\) | |||||||
\(480\) | 1.48781 | − | 0.956155i | 0.0679088 | − | 0.0436423i | ||||
\(481\) | −7.74348 | + | 8.93646i | −0.353072 | + | 0.407467i | ||||
\(482\) | 13.4223 | 0.611370 | ||||||||
\(483\) | 5.49860 | − | 10.3036i | 0.250195 | − | 0.468832i | ||||
\(484\) | −3.46202 | −0.157365 | ||||||||
\(485\) | 9.21297 | − | 10.6323i | 0.418339 | − | 0.482789i | ||||
\(486\) | 1.28010 | − | 0.822670i | 0.0580665 | − | 0.0373171i | ||||
\(487\) | 4.52984 | + | 31.5057i | 0.205267 | + | 1.42766i | 0.788339 | + | 0.615241i | \(0.210941\pi\) |
−0.583073 | + | 0.812420i | \(0.698150\pi\) | |||||||
\(488\) | −5.37774 | − | 11.7756i | −0.243439 | − | 0.533057i | ||||
\(489\) | 2.62106 | − | 18.2299i | 0.118529 | − | 0.824385i | ||||
\(490\) | 1.56161 | − | 0.458530i | 0.0705463 | − | 0.0207143i | ||||
\(491\) | 3.09550 | + | 1.98936i | 0.139698 | + | 0.0897784i | 0.608623 | − | 0.793460i | \(-0.291722\pi\) |
−0.468925 | + | 0.883238i | \(0.655359\pi\) | |||||||
\(492\) | −0.498642 | + | 1.09187i | −0.0224805 | + | 0.0492255i | ||||
\(493\) | −7.08666 | − | 2.08083i | −0.319167 | − | 0.0937159i | ||||
\(494\) | −12.8713 | − | 14.8543i | −0.579107 | − | 0.668325i | ||||
\(495\) | 0.103138 | + | 0.119028i | 0.00463571 | + | 0.00534990i | ||||
\(496\) | 36.7149 | + | 10.7805i | 1.64855 | + | 0.484057i | ||||
\(497\) | −0.177848 | + | 0.389432i | −0.00797756 | + | 0.0174684i | ||||
\(498\) | 9.14016 | + | 5.87402i | 0.409580 | + | 0.263221i | ||||
\(499\) | −3.26130 | + | 0.957603i | −0.145996 | + | 0.0428682i | −0.353914 | − | 0.935278i | \(-0.615149\pi\) |
0.207918 | + | 0.978146i | \(0.433331\pi\) | |||||||
\(500\) | 0.0448918 | − | 0.312230i | 0.00200762 | − | 0.0139633i | ||||
\(501\) | −8.17600 | − | 17.9029i | −0.365277 | − | 0.799844i | ||||
\(502\) | 1.50194 | + | 10.4462i | 0.0670348 | + | 0.466238i | ||||
\(503\) | 0.670661 | − | 0.431008i | 0.0299033 | − | 0.0192177i | −0.525604 | − | 0.850730i | \(-0.676161\pi\) |
0.555507 | + | 0.831512i | \(0.312524\pi\) | |||||||
\(504\) | 4.08785 | − | 4.71763i | 0.182087 | − | 0.210140i | ||||
\(505\) | −4.70030 | −0.209160 | ||||||||
\(506\) | 1.12069 | − | 0.255070i | 0.0498206 | − | 0.0113393i | ||||
\(507\) | −0.242876 | −0.0107865 | ||||||||
\(508\) | 2.86747 | − | 3.30924i | 0.127223 | − | 0.146824i | ||||
\(509\) | 13.9644 | − | 8.97436i | 0.618960 | − | 0.397782i | −0.193247 | − | 0.981150i | \(-0.561902\pi\) |
0.812208 | + | 0.583368i | \(0.198266\pi\) | |||||||
\(510\) | −0.583137 | − | 4.05581i | −0.0258218 | − | 0.179594i | ||||
\(511\) | −3.76716 | − | 8.24893i | −0.166649 | − | 0.364911i | ||||
\(512\) | −2.16557 | + | 15.0619i | −0.0957056 | + | 0.665647i | ||||
\(513\) | 3.40570 | − | 1.00001i | 0.150366 | − | 0.0441513i | ||||
\(514\) | 29.0127 | + | 18.6454i | 1.27970 | + | 0.822411i | ||||
\(515\) | 2.02180 | − | 4.42711i | 0.0890910 | − | 0.195082i | ||||
\(516\) | −1.42282 | − | 0.417778i | −0.0626362 | − | 0.0183916i | ||||
\(517\) | 1.31250 | + | 1.51471i | 0.0577238 | + | 0.0666168i | ||||
\(518\) | 7.88505 | + | 9.09984i | 0.346449 | + | 0.399824i | ||||
\(519\) | 18.9790 | + | 5.57273i | 0.833084 | + | 0.244616i | ||||
\(520\) | 3.87504 | − | 8.48516i | 0.169932 | − | 0.372099i | ||||
\(521\) | 23.5219 | + | 15.1166i | 1.03051 | + | 0.662271i | 0.942623 | − | 0.333859i | \(-0.108351\pi\) |
0.0878909 | + | 0.996130i | \(0.471987\pi\) | |||||||
\(522\) | −4.00456 | + | 1.17584i | −0.175275 | + | 0.0514653i | ||||
\(523\) | 3.04182 | − | 21.1563i | 0.133009 | − | 0.925101i | −0.808592 | − | 0.588370i | \(-0.799770\pi\) |
0.941601 | − | 0.336730i | \(-0.109321\pi\) | |||||||
\(524\) | −0.774749 | − | 1.69646i | −0.0338450 | − | 0.0741103i | ||||
\(525\) | −0.346572 | − | 2.41046i | −0.0151256 | − | 0.105201i | ||||
\(526\) | 12.6424 | − | 8.12477i | 0.551234 | − | 0.354257i | ||||
\(527\) | 14.8910 | − | 17.1851i | 0.648661 | − | 0.748595i | ||||
\(528\) | 0.713675 | 0.0310587 | ||||||||
\(529\) | 20.7344 | − | 9.95405i | 0.901497 | − | 0.432785i | ||||
\(530\) | 11.2467 | 0.488527 | ||||||||
\(531\) | −0.00455993 | + | 0.00526244i | −0.000197884 | + | 0.000228370i | ||||
\(532\) | −2.29378 | + | 1.47412i | −0.0994480 | + | 0.0639114i | ||||
\(533\) | 1.97075 | + | 13.7068i | 0.0853625 | + | 0.593710i | ||||
\(534\) | 10.5836 | + | 23.1750i | 0.457999 | + | 1.00288i | ||||
\(535\) | −2.10775 | + | 14.6597i | −0.0911258 | + | 0.633794i | ||||
\(536\) | −19.8219 | + | 5.82024i | −0.856176 | + | 0.251396i | ||||
\(537\) | −21.6348 | − | 13.9038i | −0.933609 | − | 0.599994i | ||||
\(538\) | −4.48444 | + | 9.81956i | −0.193338 | + | 0.423351i | ||||
\(539\) | 0.161631 | + | 0.0474593i | 0.00696196 | + | 0.00204422i | ||||
\(540\) | −0.206570 | − | 0.238394i | −0.00888934 | − | 0.0102588i | ||||
\(541\) | 6.28125 | + | 7.24895i | 0.270052 | + | 0.311657i | 0.874536 | − | 0.484961i | \(-0.161166\pi\) |
−0.604484 | + | 0.796617i | \(0.706621\pi\) | |||||||
\(542\) | 20.7583 | + | 6.09517i | 0.891643 | + | 0.261810i | ||||
\(543\) | −9.34644 | + | 20.4658i | −0.401094 | + | 0.878273i | ||||
\(544\) | −4.00636 | − | 2.57473i | −0.171771 | − | 0.110391i | ||||
\(545\) | −4.78238 | + | 1.40423i | −0.204855 | + | 0.0601508i | ||||
\(546\) | −1.91911 | + | 13.3477i | −0.0821305 | + | 0.571230i | ||||
\(547\) | −16.9219 | − | 37.0537i | −0.723527 | − | 1.58430i | −0.808895 | − | 0.587953i | \(-0.799934\pi\) |
0.0853679 | − | 0.996349i | \(-0.472793\pi\) | |||||||
\(548\) | 9.29360e−6 | 0 | 6.46384e-5i | 3.97003e−7 | 0 | 2.76122e-6i | ||||
\(549\) | −4.24856 | + | 2.73038i | −0.181324 | + | 0.116530i | ||||
\(550\) | 0.156941 | − | 0.181119i | 0.00669198 | − | 0.00772296i | ||||
\(551\) | −9.73557 | −0.414749 | ||||||||
\(552\) | 11.9867 | − | 2.72820i | 0.510188 | − | 0.116120i | ||||
\(553\) | −20.9401 | −0.890462 | ||||||||
\(554\) | −16.7255 | + | 19.3022i | −0.710597 | + | 0.820073i | ||||
\(555\) | −2.73353 | + | 1.75673i | −0.116032 | + | 0.0745690i | ||||
\(556\) | 0.951502 | + | 6.61784i | 0.0403527 | + | 0.280659i | ||||
\(557\) | 17.6291 | + | 38.6022i | 0.746967 | + | 1.63563i | 0.771741 | + | 0.635937i | \(0.219386\pi\) |
−0.0247743 | + | 0.999693i | \(0.507887\pi\) | |||||||
\(558\) | 1.82868 | − | 12.7187i | 0.0774141 | − | 0.538427i | ||||
\(559\) | −16.4144 | + | 4.81969i | −0.694253 | + | 0.203851i | ||||
\(560\) | −9.28325 | − | 5.96598i | −0.392289 | − | 0.252109i | ||||
\(561\) | 0.176180 | − | 0.385780i | 0.00743832 | − | 0.0162876i | ||||
\(562\) | −0.886967 | − | 0.260437i | −0.0374145 | − | 0.0109859i | ||||
\(563\) | −20.5473 | − | 23.7129i | −0.865967 | − | 0.999379i | −0.999965 | − | 0.00839740i | \(-0.997327\pi\) |
0.133998 | − | 0.990982i | \(-0.457218\pi\) | |||||||
\(564\) | −2.62874 | − | 3.03372i | −0.110690 | − | 0.127743i | ||||
\(565\) | 0.0281430 | + | 0.00826354i | 0.00118399 | + | 0.000347650i | ||||
\(566\) | 13.4358 | − | 29.4204i | 0.564751 | − | 1.23663i | ||||
\(567\) | −2.04866 | − | 1.31659i | −0.0860356 | − | 0.0552917i | ||||
\(568\) | −0.432383 | + | 0.126959i | −0.0181424 | + | 0.00532708i | ||||
\(569\) | 1.82396 | − | 12.6859i | 0.0764644 | − | 0.531822i | −0.915203 | − | 0.402994i | \(-0.867969\pi\) |
0.991667 | − | 0.128828i | \(-0.0411214\pi\) | |||||||
\(570\) | −2.24370 | − | 4.91301i | −0.0939781 | − | 0.205783i | ||||
\(571\) | 0.930485 | + | 6.47167i | 0.0389396 | + | 0.270831i | 0.999985 | − | 0.00556128i | \(-0.00177022\pi\) |
−0.961045 | + | 0.276392i | \(0.910861\pi\) | |||||||
\(572\) | −0.152092 | + | 0.0977434i | −0.00635927 | + | 0.00408686i | ||||
\(573\) | 9.18416 | − | 10.5991i | 0.383674 | − | 0.442783i | ||||
\(574\) | 14.1010 | 0.588563 | ||||||||
\(575\) | 2.25792 | − | 4.23105i | 0.0941620 | − | 0.176447i | ||||
\(576\) | 6.37162 | 0.265484 | ||||||||
\(577\) | 30.8750 | − | 35.6316i | 1.28534 | − | 1.48336i | 0.497533 | − | 0.867445i | \(-0.334239\pi\) |
0.787809 | − | 0.615919i | \(-0.211215\pi\) | |||||||
\(578\) | 12.4795 | − | 8.02007i | 0.519078 | − | 0.333591i | ||||
\(579\) | 0.751469 | + | 5.22658i | 0.0312300 | + | 0.217209i | ||||
\(580\) | 0.359414 | + | 0.787008i | 0.0149239 | + | 0.0326787i | ||||
\(581\) | 2.47459 | − | 17.2111i | 0.102663 | − | 0.714038i | ||||
\(582\) | −20.5404 | + | 6.03121i | −0.851428 | + | 0.250002i | ||||
\(583\) | 0.979280 | + | 0.629345i | 0.0405576 | + | 0.0260648i | ||||
\(584\) | 3.96529 | − | 8.68276i | 0.164085 | − | 0.359295i | ||||
\(585\) | −3.49167 | − | 1.02525i | −0.144363 | − | 0.0423887i | ||||
\(586\) | 0.619361 | + | 0.714780i | 0.0255856 | + | 0.0295273i | ||||
\(587\) | −14.5740 | − | 16.8193i | −0.601534 | − | 0.694208i | 0.370557 | − | 0.928810i | \(-0.379167\pi\) |
−0.972092 | + | 0.234602i | \(0.924621\pi\) | |||||||
\(588\) | −0.323723 | − | 0.0950535i | −0.0133501 | − | 0.00391994i | ||||
\(589\) | 12.4514 | − | 27.2647i | 0.513050 | − | 1.12342i | ||||
\(590\) | 0.00891360 | + | 0.00572842i | 0.000366967 | + | 0.000235835i | ||||
\(591\) | 12.4272 | − | 3.64895i | 0.511186 | − | 0.150098i | ||||
\(592\) | −2.09545 | + | 14.5742i | −0.0861223 | + | 0.598994i | ||||
\(593\) | −5.07151 | − | 11.1051i | −0.208262 | − | 0.456030i | 0.776460 | − | 0.630167i | \(-0.217014\pi\) |
−0.984721 | + | 0.174137i | \(0.944286\pi\) | |||||||
\(594\) | −0.0341065 | − | 0.237216i | −0.00139941 | − | 0.00973309i | ||||
\(595\) | −5.51662 | + | 3.54532i | −0.226160 | + | 0.145344i | ||||
\(596\) | 1.68456 | − | 1.94409i | 0.0690024 | − | 0.0796330i | ||||
\(597\) | −0.932061 | −0.0381467 | ||||||||
\(598\) | −18.5974 | + | 18.9575i | −0.760503 | + | 0.775232i | ||||
\(599\) | −18.0130 | −0.735993 | −0.367996 | − | 0.929827i | \(-0.619956\pi\) | ||||
−0.367996 | + | 0.929827i | \(0.619956\pi\) | |||||||
\(600\) | 1.67862 | − | 1.93723i | 0.0685293 | − | 0.0790871i | ||||
\(601\) | −36.7010 | + | 23.5863i | −1.49707 | + | 0.962106i | −0.501793 | + | 0.864988i | \(0.667326\pi\) |
−0.995273 | + | 0.0971178i | \(0.969038\pi\) | |||||||
\(602\) | 2.47914 | + | 17.2428i | 0.101042 | + | 0.702763i | ||||
\(603\) | 3.34798 | + | 7.33105i | 0.136340 | + | 0.298544i | ||||
\(604\) | 0.0132378 | − | 0.0920707i | 0.000538637 | − | 0.00374630i | ||||
\(605\) | −10.5306 | + | 3.09207i | −0.428131 | + | 0.125711i | ||||
\(606\) | 6.01685 | + | 3.86679i | 0.244418 | + | 0.157078i | ||||
\(607\) | 9.31529 | − | 20.3976i | 0.378096 | − | 0.827915i | −0.620933 | − | 0.783863i | \(-0.713246\pi\) |
0.999029 | − | 0.0440513i | \(-0.0140265\pi\) | |||||||
\(608\) | −6.02319 | − | 1.76857i | −0.244273 | − | 0.0717249i | ||||
\(609\) | 4.37409 | + | 5.04797i | 0.177247 | + | 0.204554i | ||||
\(610\) | 5.03246 | + | 5.80777i | 0.203758 | + | 0.235150i | ||||
\(611\) | −44.4338 | − | 13.0470i | −1.79760 | − | 0.527823i | ||||
\(612\) | −0.352861 | + | 0.772657i | −0.0142635 | + | 0.0312328i | ||||
\(613\) | 6.04217 | + | 3.88307i | 0.244041 | + | 0.156836i | 0.656944 | − | 0.753939i | \(-0.271849\pi\) |
−0.412903 | + | 0.910775i | \(0.635485\pi\) | |||||||
\(614\) | −16.2077 | + | 4.75901i | −0.654090 | + | 0.192058i | ||||
\(615\) | −0.541552 | + | 3.76657i | −0.0218375 | + | 0.151883i | ||||
\(616\) | −0.408412 | − | 0.894297i | −0.0164554 | − | 0.0360323i | ||||
\(617\) | −1.10220 | − | 7.66597i | −0.0443729 | − | 0.308621i | −0.999906 | − | 0.0137355i | \(-0.995628\pi\) |
0.955533 | − | 0.294885i | \(-0.0952814\pi\) | |||||||
\(618\) | −6.23015 | + | 4.00388i | −0.250614 | + | 0.161060i | ||||
\(619\) | −26.5573 | + | 30.6488i | −1.06743 | + | 1.23188i | −0.0957912 | + | 0.995401i | \(0.530538\pi\) |
−0.971637 | + | 0.236477i | \(0.924007\pi\) | |||||||
\(620\) | −2.66371 | −0.106977 | ||||||||
\(621\) | −1.71899 | − | 4.47717i | −0.0689806 | − | 0.179663i | ||||
\(622\) | 2.81279 | 0.112783 | ||||||||
\(623\) | 26.7010 | − | 30.8146i | 1.06975 | − | 1.23456i | ||||
\(624\) | −13.8723 | + | 8.91518i | −0.555336 | + | 0.356893i | ||||
\(625\) | −0.142315 | − | 0.989821i | −0.00569259 | − | 0.0395929i | ||||
\(626\) | −8.16666 | − | 17.8825i | −0.326405 | − | 0.714728i | ||||
\(627\) | 0.0795583 | − | 0.553340i | 0.00317725 | − | 0.0220983i | ||||
\(628\) | −5.53786 | + | 1.62606i | −0.220985 | + | 0.0648870i | ||||
\(629\) | 7.36083 | + | 4.73052i | 0.293496 | + | 0.188618i | ||||
\(630\) | −1.53937 | + | 3.37074i | −0.0613298 | + | 0.134293i | ||||
\(631\) | −8.10361 | − | 2.37943i | −0.322600 | − | 0.0947238i | 0.116423 | − | 0.993200i | \(-0.462857\pi\) |
−0.439023 | + | 0.898476i | \(0.644675\pi\) | |||||||
\(632\) | −14.4340 | − | 16.6578i | −0.574155 | − | 0.662610i | ||||
\(633\) | 5.01712 | + | 5.79007i | 0.199413 | + | 0.230134i | ||||
\(634\) | 35.2970 | + | 10.3641i | 1.40182 | + | 0.411612i | ||||
\(635\) | 5.76653 | − | 12.6269i | 0.228838 | − | 0.501085i | ||||
\(636\) | −1.96134 | − | 1.26048i | −0.0777723 | − | 0.0499812i | ||||
\(637\) | −3.73462 | + | 1.09658i | −0.147971 | + | 0.0434483i | ||||
\(638\) | −0.0935477 | + | 0.650639i | −0.00370359 | + | 0.0257590i | ||||
\(639\) | 0.0730307 | + | 0.159915i | 0.00288905 | + | 0.00632614i | ||||
\(640\) | −1.88319 | − | 13.0978i | −0.0744395 | − | 0.517738i | ||||
\(641\) | −37.1651 | + | 23.8846i | −1.46793 | + | 0.943384i | −0.469772 | + | 0.882788i | \(0.655664\pi\) |
−0.998162 | + | 0.0605960i | \(0.980700\pi\) | |||||||
\(642\) | 14.7582 | − | 17.0319i | 0.582460 | − | 0.672195i | ||||
\(643\) | −42.6078 | −1.68029 | −0.840144 | − | 0.542363i | \(-0.817530\pi\) | ||||
−0.840144 | + | 0.542363i | \(0.817530\pi\) | |||||||
\(644\) | 2.23594 | + | 2.92791i | 0.0881085 | + | 0.115376i | ||||
\(645\) | −4.70101 | −0.185102 | ||||||||
\(646\) | −9.52434 | + | 10.9917i | −0.374730 | + | 0.432462i | ||||
\(647\) | −20.4858 | + | 13.1654i | −0.805378 | + | 0.517585i | −0.877367 | − | 0.479820i | \(-0.840702\pi\) |
0.0719886 | + | 0.997405i | \(0.477065\pi\) | |||||||
\(648\) | −0.364799 | − | 2.53723i | −0.0143306 | − | 0.0996719i | ||||
\(649\) | 0.000455577 | 0 | 0.000997574i | 1.78830e−5 | 0 | 3.91582e-5i | ||||
\(650\) | −0.788058 | + | 5.48106i | −0.0309102 | + | 0.214985i | ||||
\(651\) | −19.7313 | + | 5.79362i | −0.773329 | + | 0.227070i | ||||
\(652\) | 4.88733 | + | 3.14090i | 0.191403 | + | 0.123007i | ||||
\(653\) | 6.74732 | − | 14.7746i | 0.264043 | − | 0.578174i | −0.730451 | − | 0.682965i | \(-0.760690\pi\) |
0.994494 | + | 0.104791i | \(0.0334174\pi\) | |||||||
\(654\) | 7.27715 | + | 2.13676i | 0.284559 | + | 0.0835541i | ||||
\(655\) | −3.87178 | − | 4.46827i | −0.151283 | − | 0.174590i | ||||
\(656\) | 11.2919 | + | 13.0316i | 0.440876 | + | 0.508799i | ||||
\(657\) | −3.57298 | − | 1.04912i | −0.139395 | − | 0.0409302i | ||||
\(658\) | −19.5895 | + | 42.8949i | −0.763677 | + | 1.67222i | ||||
\(659\) | 27.9502 | + | 17.9625i | 1.08878 | + | 0.699719i | 0.956570 | − | 0.291502i | \(-0.0941550\pi\) |
0.132214 | + | 0.991221i | \(0.457791\pi\) | |||||||
\(660\) | −0.0476683 | + | 0.0139967i | −0.00185548 | + | 0.000544819i | ||||
\(661\) | 6.02230 | − | 41.8860i | 0.234240 | − | 1.62918i | −0.445189 | − | 0.895436i | \(-0.646864\pi\) |
0.679430 | − | 0.733741i | \(-0.262227\pi\) | |||||||
\(662\) | 5.95380 | + | 13.0370i | 0.231401 | + | 0.506698i | ||||
\(663\) | 1.39459 | + | 9.69956i | 0.0541612 | + | 0.376700i | ||||
\(664\) | 15.3971 | − | 9.89514i | 0.597525 | − | 0.384006i | ||||
\(665\) | −5.66053 | + | 6.53260i | −0.219506 | + | 0.253323i | ||||
\(666\) | 4.94439 | 0.191591 | ||||||||
\(667\) | 1.06419 | + | 13.1109i | 0.0412054 | + | 0.507658i | ||||
\(668\) | 6.20835 | 0.240208 | ||||||||
\(669\) | −16.4084 | + | 18.9363i | −0.634384 | + | 0.732118i | ||||
\(670\) | 10.3168 | − | 6.63020i | 0.398572 | − | 0.256147i | ||||
\(671\) | 0.113197 | + | 0.787302i | 0.00436992 | + | 0.0303935i | ||||
\(672\) | 1.78914 | + | 3.91767i | 0.0690176 | + | 0.151127i | ||||
\(673\) | 5.97541 | − | 41.5599i | 0.230335 | − | 1.60201i | −0.466325 | − | 0.884613i | \(-0.654422\pi\) |
0.696660 | − | 0.717401i | \(-0.254669\pi\) | |||||||
\(674\) | −42.4952 | + | 12.4777i | −1.63685 | + | 0.480623i | ||||
\(675\) | −0.841254 | − | 0.540641i | −0.0323799 | − | 0.0208093i | ||||
\(676\) | 0.0318261 | − | 0.0696894i | 0.00122408 | − | 0.00268036i | ||||
\(677\) | 39.8821 | + | 11.7104i | 1.53279 | + | 0.450069i | 0.935904 | − | 0.352255i | \(-0.114585\pi\) |
0.596889 | + | 0.802324i | \(0.296403\pi\) | |||||||
\(678\) | −0.0292277 | − | 0.0337306i | −0.00112248 | − | 0.00129541i | ||||
\(679\) | 22.4358 | + | 25.8923i | 0.861009 | + | 0.993657i | ||||
\(680\) | −6.62291 | − | 1.94466i | −0.253977 | − | 0.0745744i | ||||
\(681\) | 6.20631 | − | 13.5899i | 0.237826 | − | 0.520767i | ||||
\(682\) | −1.70249 | − | 1.09412i | −0.0651917 | − | 0.0418961i | ||||
\(683\) | 49.4453 | − | 14.5184i | 1.89197 | − | 0.555533i | 0.898879 | − | 0.438197i | \(-0.144383\pi\) |
0.993092 | − | 0.117336i | \(-0.0374354\pi\) | |||||||
\(684\) | −0.159343 | + | 1.10825i | −0.00609263 | + | 0.0423752i | ||||
\(685\) | 8.60001e−5 | 0 | 0.000188314i | 3.28589e−6 | 0 | 7.19510e-6i | ||||
\(686\) | 4.25560 | + | 29.5983i | 0.162480 | + | 1.13007i | ||||
\(687\) | −12.9952 | + | 8.35151i | −0.495798 | + | 0.318630i | ||||
\(688\) | −13.9499 | + | 16.0990i | −0.531834 | + | 0.613769i | ||||
\(689\) | −26.8968 | −1.02469 | ||||||||
\(690\) | −6.37113 | + | 3.55864i | −0.242545 | + | 0.135475i | ||||
\(691\) | −29.7608 | −1.13215 | −0.566077 | − | 0.824352i | \(-0.691540\pi\) | ||||
−0.566077 | + | 0.824352i | \(0.691540\pi\) | |||||||
\(692\) | −4.08599 | + | 4.71548i | −0.155326 | + | 0.179256i | ||||
\(693\) | −0.322656 | + | 0.207358i | −0.0122567 | + | 0.00787690i | ||||
\(694\) | 2.74386 | + | 19.0839i | 0.104155 | + | 0.724416i | ||||
\(695\) | 8.80490 | + | 19.2800i | 0.333989 | + | 0.731333i | ||||
\(696\) | −1.00057 | + | 6.95915i | −0.0379267 | + | 0.263786i | ||||
\(697\) | 9.83185 | − | 2.88689i | 0.372408 | − | 0.109349i | ||||
\(698\) | −5.20805 | − | 3.34701i | −0.197128 | − | 0.126686i | ||||
\(699\) | −4.74291 | + | 10.3855i | −0.179393 | + | 0.392817i | ||||
\(700\) | 0.737058 | + | 0.216420i | 0.0278582 | + | 0.00817990i | ||||
\(701\) | 20.8821 | + | 24.0992i | 0.788704 | + | 0.910213i | 0.997706 | − | 0.0677020i | \(-0.0215667\pi\) |
−0.209001 | + | 0.977915i | \(0.567021\pi\) | |||||||
\(702\) | 3.62624 | + | 4.18491i | 0.136864 | + | 0.157949i | ||||
\(703\) | 11.0663 | + | 3.24936i | 0.417374 | + | 0.122552i | ||||
\(704\) | 0.416871 | − | 0.912821i | 0.0157114 | − | 0.0344032i | ||||
\(705\) | −10.7055 | − | 6.88002i | −0.403193 | − | 0.259117i | ||||
\(706\) | 14.6287 | − | 4.29536i | 0.550557 | − | 0.161658i | ||||
\(707\) | 1.62899 | − | 11.3299i | 0.0612644 | − | 0.426104i | ||||
\(708\) | −0.000912449 | − | 0.00199799i | −3.42919e−5 | − | 7.50889e-5i | ||||
\(709\) | −3.56174 | − | 24.7724i | −0.133764 | − | 0.930348i | −0.940586 | − | 0.339554i | \(-0.889724\pi\) |
0.806823 | − | 0.590794i | \(-0.201185\pi\) | |||||||
\(710\) | 0.225044 | − | 0.144627i | 0.00844574 | − | 0.00542775i | ||||
\(711\) | −5.63098 | + | 6.49850i | −0.211178 | + | 0.243713i | ||||
\(712\) | 42.9180 | 1.60842 | ||||||||
\(713\) | −38.0786 | − | 13.7881i | −1.42606 | − | 0.516367i | ||||
\(714\) | 9.97846 | 0.373434 | ||||||||
\(715\) | −0.375327 | + | 0.433151i | −0.0140365 | + | 0.0161989i | ||||
\(716\) | 6.82448 | − | 4.38583i | 0.255043 | − | 0.163906i | ||||
\(717\) | −0.921796 | − | 6.41123i | −0.0344251 | − | 0.239432i | ||||
\(718\) | −22.9594 | − | 50.2741i | −0.856837 | − | 1.87621i | ||||
\(719\) | 2.82546 | − | 19.6515i | 0.105372 | − | 0.732876i | −0.866808 | − | 0.498641i | \(-0.833832\pi\) |
0.972180 | − | 0.234235i | \(-0.0752585\pi\) | |||||||
\(720\) | −4.34783 | + | 1.27664i | −0.162034 | + | 0.0475774i | ||||
\(721\) | 9.97068 | + | 6.40776i | 0.371327 | + | 0.238638i | ||||
\(722\) | 4.04630 | − | 8.86016i | 0.150588 | − | 0.329741i | ||||
\(723\) | −8.46355 | − | 2.48512i | −0.314763 | − | 0.0924227i | ||||
\(724\) | −4.64761 | − | 5.36363i | −0.172727 | − | 0.199338i | ||||
\(725\) | 1.79616 | + | 2.07288i | 0.0667077 | + | 0.0769848i | ||||
\(726\) | 16.0240 | + | 4.70507i | 0.594706 | + | 0.174622i | ||||
\(727\) | −5.22227 | + | 11.4352i | −0.193683 | + | 0.424107i | −0.981411 | − | 0.191916i | \(-0.938530\pi\) |
0.787728 | + | 0.616023i | \(0.211257\pi\) | |||||||
\(728\) | 19.1101 | + | 12.2813i | 0.708269 | + | 0.455177i | ||||
\(729\) | −0.959493 | + | 0.281733i | −0.0355368 | + | 0.0104345i | ||||
\(730\) | −0.806410 | + | 5.60871i | −0.0298466 | + | 0.207588i | ||||
\(731\) | 5.25868 | + | 11.5149i | 0.194499 | + | 0.425894i | ||||
\(732\) | −0.226716 | − | 1.57684i | −0.00837966 | − | 0.0582818i | ||||
\(733\) | −31.0791 | + | 19.9733i | −1.14793 | + | 0.737732i | −0.969227 | − | 0.246170i | \(-0.920828\pi\) |
−0.178707 | + | 0.983902i | \(0.557191\pi\) | |||||||
\(734\) | 3.47294 | − | 4.00798i | 0.128188 | − | 0.147937i | ||||
\(735\) | −1.06958 | −0.0394521 | ||||||||
\(736\) | −1.72335 | + | 8.30479i | −0.0635236 | + | 0.306119i | ||||
\(737\) | 1.26932 | 0.0467560 | ||||||||
\(738\) | 3.79189 | − | 4.37607i | 0.139581 | − | 0.161085i | ||||
\(739\) | 9.85609 | − | 6.33412i | 0.362562 | − | 0.233004i | −0.346658 | − | 0.937992i | \(-0.612684\pi\) |
0.709220 | + | 0.704987i | \(0.249047\pi\) | |||||||
\(740\) | −0.145869 | − | 1.01454i | −0.00536226 | − | 0.0372953i | ||||
\(741\) | 5.36585 | + | 11.7496i | 0.197119 | + | 0.431631i | ||||
\(742\) | −3.89780 | + | 27.1098i | −0.143093 | + | 0.995231i | ||||
\(743\) | −30.1264 | + | 8.84591i | −1.10523 | + | 0.324525i | −0.782928 | − | 0.622112i | \(-0.786275\pi\) |
−0.322302 | + | 0.946637i | \(0.604457\pi\) | |||||||
\(744\) | −18.2096 | − | 11.7026i | −0.667596 | − | 0.429038i | ||||
\(745\) | 3.38769 | − | 7.41800i | 0.124115 | − | 0.271774i | ||||
\(746\) | −9.86367 | − | 2.89623i | −0.361135 | − | 0.106039i | ||||
\(747\) | −4.67583 | − | 5.39620i | −0.171080 | − | 0.197437i | ||||
\(748\) | 0.0876073 | + | 0.101104i | 0.00320324 | + | 0.00369674i | ||||
\(749\) | −34.6061 | − | 10.1613i | −1.26448 | − | 0.371285i | ||||
\(750\) | −0.632119 | + | 1.38415i | −0.0230817 | + | 0.0505419i | ||||
\(751\) | 21.0465 | + | 13.5257i | 0.767996 | + | 0.493561i | 0.865030 | − | 0.501720i | \(-0.167299\pi\) |
−0.0970338 | + | 0.995281i | \(0.530935\pi\) | |||||||
\(752\) | −55.3290 | + | 16.2461i | −2.01764 | + | 0.592433i | ||||
\(753\) | 0.987042 | − | 6.86503i | 0.0359698 | − | 0.250176i | ||||
\(754\) | −6.30937 | − | 13.8156i | −0.229774 | − | 0.503134i | ||||
\(755\) | −0.0419660 | − | 0.291880i | −0.00152730 | − | 0.0106226i | ||||
\(756\) | 0.646230 | − | 0.415307i | 0.0235031 | − | 0.0151046i | ||||
\(757\) | −16.5596 | + | 19.1108i | −0.601869 | + | 0.694594i | −0.972159 | − | 0.234322i | \(-0.924713\pi\) |
0.370290 | + | 0.928916i | \(0.379258\pi\) | |||||||
\(758\) | −36.9619 | −1.34252 | ||||||||
\(759\) | −0.753883 | − | 0.0466566i | −0.0273642 | − | 0.00169353i | ||||
\(760\) | −9.09847 | −0.330036 | ||||||||
\(761\) | 13.4782 | − | 15.5546i | 0.488584 | − | 0.563856i | −0.456903 | − | 0.889517i | \(-0.651041\pi\) |
0.945487 | + | 0.325661i | \(0.105587\pi\) | |||||||
\(762\) | −17.7695 | + | 11.4198i | −0.643723 | + | 0.413695i | ||||
\(763\) | −1.72741 | − | 12.0144i | −0.0625365 | − | 0.434951i | ||||
\(764\) | 1.83777 | + | 4.02415i | 0.0664880 | + | 0.145588i | ||||
\(765\) | −0.383225 | + | 2.66539i | −0.0138555 | + | 0.0963674i | ||||
\(766\) | 51.5891 | − | 15.1479i | 1.86399 | − | 0.547317i | ||||
\(767\) | −0.0213171 | − | 0.0136996i | −0.000769715 | − | 0.000494665i | ||||
\(768\) | −3.07081 | + | 6.72413i | −0.110808 | + | 0.242636i | ||||
\(769\) | −13.9539 | − | 4.09723i | −0.503190 | − | 0.147750i | 0.0202797 | − | 0.999794i | \(-0.493544\pi\) |
−0.523469 | + | 0.852045i | \(0.675362\pi\) | |||||||
\(770\) | 0.382189 | + | 0.441070i | 0.0137732 | + | 0.0158951i | ||||
\(771\) | −14.8421 | − | 17.1286i | −0.534523 | − | 0.616873i | ||||
\(772\) | −1.59816 | − | 0.469262i | −0.0575190 | − | 0.0168891i | ||||
\(773\) | −9.18634 | + | 20.1153i | −0.330410 | + | 0.723496i | −0.999812 | − | 0.0194043i | \(-0.993823\pi\) |
0.669402 | + | 0.742900i | \(0.266550\pi\) | |||||||
\(774\) | 6.01776 | + | 3.86738i | 0.216304 | + | 0.139010i | ||||
\(775\) | −8.10237 | + | 2.37907i | −0.291046 | + | 0.0854587i | ||||
\(776\) | −5.13221 | + | 35.6953i | −0.184235 | + | 1.28139i | ||||
\(777\) | −3.28716 | − | 7.19788i | −0.117926 | − | 0.258223i | ||||
\(778\) | −0.0289153 | − | 0.201110i | −0.00103666 | − | 0.00721015i | ||||
\(779\) | 11.3627 | − | 7.30237i | 0.407111 | − | 0.261634i | ||||
\(780\) | 0.751722 | − | 0.867534i | 0.0269160 | − | 0.0310627i | ||||
\(781\) | 0.0276881 | 0.000990759 | ||||||||
\(782\) | 15.8436 | + | 11.6250i | 0.566568 | + | 0.415709i | ||||
\(783\) | 2.74281 | 0.0980201 | ||||||||
\(784\) | −3.17390 | + | 3.66287i | −0.113354 | + | 0.130817i | ||||
\(785\) | −15.3925 | + | 9.89218i | −0.549383 | + | 0.353067i | ||||
\(786\) | 1.28035 | + | 8.90502i | 0.0456685 | + | 0.317632i | ||||
\(787\) | −13.3105 | − | 29.1460i | −0.474469 | − | 1.03894i | −0.983947 | − | 0.178459i | \(-0.942889\pi\) |
0.509478 | − | 0.860484i | \(-0.329839\pi\) | |||||||
\(788\) | −0.581431 | + | 4.04394i | −0.0207126 | + | 0.144060i | ||||
\(789\) | −9.47605 | + | 2.78242i | −0.337356 | + | 0.0990567i | ||||
\(790\) | 11.0073 | + | 7.07393i | 0.391621 | + | 0.251679i | ||||
\(791\) | −0.0296725 | + | 0.0649737i | −0.00105503 | + | 0.00231020i | ||||
\(792\) | −0.387360 | − | 0.113739i | −0.0137643 | − | 0.00404155i | ||||
\(793\) | −12.0352 | − | 13.8894i | −0.427384 | − | 0.493227i | ||||
\(794\) | −0.397514 | − | 0.458756i | −0.0141072 | − | 0.0162806i | ||||
\(795\) | −7.09172 | − | 2.08232i | −0.251517 | − | 0.0738521i | ||||
\(796\) | 0.122136 | − | 0.267441i | 0.00432900 | − | 0.00947918i | ||||
\(797\) | 13.7969 | + | 8.86671i | 0.488710 | + | 0.314075i | 0.761686 | − | 0.647946i | \(-0.224372\pi\) |
−0.272976 | + | 0.962021i | \(0.588008\pi\) | |||||||
\(798\) | 12.6202 | − | 3.70563i | 0.446750 | − | 0.131178i | ||||
\(799\) | −4.87680 | + | 33.9189i | −0.172529 | + | 1.19996i | ||||
\(800\) | 0.734686 | + | 1.60874i | 0.0259751 | + | 0.0568775i | ||||
\(801\) | −2.38279 | − | 16.5727i | −0.0841919 | − | 0.585568i | ||||
\(802\) | −3.80567 | + | 2.44576i | −0.134383 | + | 0.0863626i | ||||
\(803\) | −0.384068 | + | 0.443238i | −0.0135535 | + | 0.0156415i | ||||
\(804\) | −2.54225 | −0.0896582 | ||||||||
\(805\) | 9.41623 | + | 6.90899i | 0.331879 | + | 0.243510i | ||||
\(806\) | 46.7604 | 1.64706 | ||||||||
\(807\) | 4.64578 | − | 5.36152i | 0.163539 | − | 0.188734i | ||||
\(808\) | 10.1357 | − | 6.51384i | 0.356574 | − | 0.229156i | ||||
\(809\) | 3.44796 | + | 23.9811i | 0.121224 | + | 0.843129i | 0.956173 | + | 0.292802i | \(0.0945878\pi\) |
−0.834949 | + | 0.550327i | \(0.814503\pi\) | |||||||
\(810\) | 0.632119 | + | 1.38415i | 0.0222104 | + | 0.0486340i | ||||
\(811\) | 0.992419 | − | 6.90243i | 0.0348485 | − | 0.242377i | −0.964950 | − | 0.262433i | \(-0.915475\pi\) |
0.999799 | + | 0.0200557i | \(0.00638435\pi\) | |||||||
\(812\) | −2.02161 | + | 0.593599i | −0.0709447 | + | 0.0208312i | ||||
\(813\) | −11.9608 | − | 7.68672i | −0.419483 | − | 0.269585i | ||||
\(814\) | 0.323493 | − | 0.708352i | 0.0113384 | − | 0.0248277i | ||||
\(815\) | 17.6713 | + | 5.18877i | 0.619000 | + | 0.181755i | ||||
\(816\) | 7.99067 | + | 9.22172i | 0.279729 | + | 0.322825i | ||||
\(817\) | 10.9271 | + | 12.6105i | 0.382291 | + | 0.441187i | ||||
\(818\) | −52.9100 | − | 15.5358i | −1.84995 | − | 0.543195i | ||||
\(819\) | 3.68143 | − | 8.06120i | 0.128639 | − | 0.281681i | ||||
\(820\) | −1.00980 | − | 0.648957i | −0.0352636 | − | 0.0226625i | ||||
\(821\) | 23.0225 | − | 6.76002i | 0.803491 | − | 0.235926i | 0.145898 | − | 0.989300i | \(-0.453393\pi\) |
0.657593 | + | 0.753373i | \(0.271575\pi\) | |||||||
\(822\) | 4.48315e−5 | 0 | 0.000311810i | 1.56368e−6 | 0 | 1.08756e-5i | ||||
\(823\) | −2.96728 | − | 6.49743i | −0.103433 | − | 0.226486i | 0.850839 | − | 0.525426i | \(-0.176094\pi\) |
−0.954272 | + | 0.298940i | \(0.903367\pi\) | |||||||
\(824\) | 1.77545 | + | 12.3485i | 0.0618507 | + | 0.430181i | ||||
\(825\) | −0.132494 | + | 0.0851489i | −0.00461286 | + | 0.00296450i | ||||
\(826\) | −0.0168973 | + | 0.0195005i | −0.000587933 | + | 0.000678511i | ||||
\(827\) | −25.7772 | −0.896360 | −0.448180 | − | 0.893943i | \(-0.647928\pi\) | ||||
−0.448180 | + | 0.893943i | \(0.647928\pi\) | |||||||
\(828\) | 1.50991 | + | 0.0934458i | 0.0524730 | + | 0.00324747i | ||||
\(829\) | 31.3952 | 1.09040 | 0.545200 | − | 0.838306i | \(-0.316454\pi\) | ||||
0.545200 | + | 0.838306i | \(0.316454\pi\) | |||||||
\(830\) | −7.11502 | + | 8.21117i | −0.246966 | + | 0.285014i | ||||
\(831\) | 14.1202 | − | 9.07447i | 0.489823 | − | 0.314790i | ||||
\(832\) | 3.29982 | + | 22.9508i | 0.114401 | + | 0.795675i | ||||
\(833\) | 1.19646 | + | 2.61989i | 0.0414550 | + | 0.0907739i | ||||
\(834\) | 4.58996 | − | 31.9239i | 0.158937 | − | 1.10543i | ||||
\(835\) | 18.8843 | − | 5.54493i | 0.653517 | − | 0.191890i | ||||
\(836\) | 0.148347 | + | 0.0953370i | 0.00513070 | + | 0.00329730i | ||||
\(837\) | −3.50794 | + | 7.68132i | −0.121252 | + | 0.265505i | ||||
\(838\) | −26.1440 | − | 7.67657i | −0.903130 | − | 0.265183i | ||||
\(839\) | 26.2849 | + | 30.3343i | 0.907454 | + | 1.04726i | 0.998677 | + | 0.0514273i | \(0.0163770\pi\) |
−0.0912227 | + | 0.995831i | \(0.529078\pi\) | |||||||
\(840\) | 4.08785 | + | 4.71763i | 0.141044 | + | 0.162774i | ||||
\(841\) | 20.6070 | + | 6.05076i | 0.710587 | + | 0.208647i | ||||
\(842\) | 6.81590 | − | 14.9247i | 0.234892 | − | 0.514341i | ||||
\(843\) | 0.511065 | + | 0.328441i | 0.0176020 | + | 0.0113121i | ||||
\(844\) | −2.31881 | + | 0.680863i | −0.0798166 | + | 0.0234363i | ||||
\(845\) | 0.0345648 | − | 0.240403i | 0.00118906 | − | 0.00827013i | ||||
\(846\) | 8.04415 | + | 17.6142i | 0.276563 | + | 0.605589i | ||||
\(847\) | −3.80369 | − | 26.4552i | −0.130696 | − | 0.909013i | ||||
\(848\) | −28.1752 | + | 18.1071i | −0.967540 | + | 0.621800i | ||||
\(849\) | −13.9192 | + | 16.0636i | −0.477706 | + | 0.551303i | ||||
\(850\) | 4.09752 | 0.140544 | ||||||||
\(851\) | 3.16629 | − | 15.2583i | 0.108539 | − | 0.523047i | ||||
\(852\) | −0.0554550 | −0.00189986 | ||||||||
\(853\) | 17.1265 | − | 19.7650i | 0.586400 | − | 0.676742i | −0.382568 | − | 0.923927i | \(-0.624960\pi\) |
0.968968 | + | 0.247185i | \(0.0795057\pi\) | |||||||
\(854\) | −15.7435 | + | 10.1177i | −0.538731 | + | 0.346221i | ||||
\(855\) | 0.505144 | + | 3.51336i | 0.0172756 | + | 0.120154i | ||||
\(856\) | −15.7708 | − | 34.5332i | −0.539035 | − | 1.18032i | ||||
\(857\) | 2.90454 | − | 20.2015i | 0.0992173 | − | 0.690072i | −0.878129 | − | 0.478424i | \(-0.841208\pi\) |
0.977346 | − | 0.211647i | \(-0.0678828\pi\) | |||||||
\(858\) | 0.836797 | − | 0.245706i | 0.0285678 | − | 0.00838825i | ||||
\(859\) | 29.5383 | + | 18.9831i | 1.00783 | + | 0.647696i | 0.936832 | − | 0.349780i | \(-0.113744\pi\) |
0.0710028 | + | 0.997476i | \(0.477380\pi\) | |||||||
\(860\) | 0.616014 | − | 1.34888i | 0.0210059 | − | 0.0459965i | ||||
\(861\) | −8.89148 | − | 2.61077i | −0.303021 | − | 0.0889749i | ||||
\(862\) | −25.3931 | − | 29.3051i | −0.864891 | − | 0.998137i | ||||
\(863\) | −21.2155 | − | 24.4840i | −0.722184 | − | 0.833445i | 0.269384 | − | 0.963033i | \(-0.413180\pi\) |
−0.991568 | + | 0.129588i | \(0.958634\pi\) | |||||||
\(864\) | 1.69692 | + | 0.498261i | 0.0577304 | + | 0.0169512i | ||||
\(865\) | −8.21699 | + | 17.9927i | −0.279386 | + | 0.611770i | ||||
\(866\) | 37.9978 | + | 24.4197i | 1.29122 | + | 0.829815i | ||||
\(867\) | −9.35394 | + | 2.74656i | −0.317676 | + | 0.0932782i | ||||
\(868\) | 0.923167 | − | 6.42077i | 0.0313343 | − | 0.217935i | ||||
\(869\) | 0.562584 | + | 1.23189i | 0.0190844 | + | 0.0417889i | ||||
\(870\) | −0.593968 | − | 4.13114i | −0.0201374 | − | 0.140059i | ||||
\(871\) | −24.6728 | + | 15.8563i | −0.836007 | + | 0.537269i | ||||
\(872\) | 8.36671 | − | 9.65570i | 0.283333 | − | 0.326983i | ||||
\(873\) | 14.0686 | 0.476150 | ||||||||
\(874\) | 24.3553 | + | 8.81892i | 0.823829 | + | 0.298304i | ||||
\(875\) | 2.43525 | 0.0823263 | ||||||||
\(876\) | 0.769228 | − | 0.887737i | 0.0259898 | − | 0.0299938i | ||||
\(877\) | 6.11945 | − | 3.93273i | 0.206639 | − | 0.132799i | −0.433228 | − | 0.901284i | \(-0.642626\pi\) |
0.639867 | + | 0.768485i | \(0.278989\pi\) | |||||||
\(878\) | −2.37012 | − | 16.4846i | −0.0799878 | − | 0.556327i | ||||
\(879\) | −0.258202 | − | 0.565384i | −0.00870895 | − | 0.0190699i | ||||
\(880\) | −0.101567 | + | 0.706411i | −0.00342381 | + | 0.0238131i | ||||
\(881\) | 14.7749 | − | 4.33831i | 0.497780 | − | 0.146161i | −0.0231989 | − | 0.999731i | \(-0.507385\pi\) |
0.520979 | + | 0.853569i | \(0.325567\pi\) | |||||||
\(882\) | 1.36917 | + | 0.879913i | 0.0461024 | + | 0.0296282i | ||||
\(883\) | 3.47562 | − | 7.61055i | 0.116964 | − | 0.256115i | −0.842091 | − | 0.539336i | \(-0.818675\pi\) |
0.959055 | + | 0.283220i | \(0.0914027\pi\) | |||||||
\(884\) | −2.96588 | − | 0.870862i | −0.0997534 | − | 0.0292903i | ||||
\(885\) | −0.00455993 | − | 0.00526244i | −0.000153280 | − | 0.000176895i | ||||
\(886\) | −14.8829 | − | 17.1758i | −0.500002 | − | 0.577033i | ||||
\(887\) | −6.42055 | − | 1.88524i | −0.215581 | − | 0.0633003i | 0.172159 | − | 0.985069i | \(-0.444926\pi\) |
−0.387740 | + | 0.921769i | \(0.626744\pi\) | |||||||
\(888\) | 3.46004 | − | 7.57644i | 0.116111 | − | 0.254249i | ||||
\(889\) | 28.4382 | + | 18.2761i | 0.953787 | + | 0.612961i | ||||
\(890\) | −24.4453 | + | 7.17778i | −0.819408 | + | 0.240600i | ||||
\(891\) | −0.0224141 | + | 0.155893i | −0.000750899 | + | 0.00522262i | ||||
\(892\) | −3.28334 | − | 7.18951i | −0.109934 | − | 0.240723i | ||||
\(893\) | 6.42830 | + | 44.7098i | 0.215115 | + | 1.49616i | ||||
\(894\) | −10.4391 | + | 6.70883i | −0.349137 | + | 0.224377i | ||||
\(895\) | 16.8412 | − | 19.4358i | 0.562941 | − | 0.649668i | ||||
\(896\) | 32.2245 | 1.07654 | ||||||||
\(897\) | 15.2367 | − | 8.51056i | 0.508738 | − | 0.284159i | ||||
\(898\) | 43.0746 | 1.43742 | ||||||||
\(899\) | 15.1675 | − | 17.5043i | 0.505866 | − | 0.583800i | ||||
\(900\) | 0.265365 | − | 0.170540i | 0.00884551 | − | 0.00568466i | ||||
\(901\) | 2.83246 | + | 19.7002i | 0.0943629 | + | 0.656308i | ||||
\(902\) | −0.378843 | − | 0.829550i | −0.0126141 | − | 0.0276210i | ||||
\(903\) | 1.62923 | − | 11.3316i | 0.0542175 | − | 0.377091i | ||||
\(904\) | −0.0721396 | + | 0.0211821i | −0.00239933 | + | 0.000704506i | ||||
\(905\) | −18.9274 | − | 12.1639i | −0.629168 | − | 0.404342i | ||||
\(906\) | −0.186400 | + | 0.408159i | −0.00619273 | + | 0.0135602i | ||||
\(907\) | 22.2279 | + | 6.52669i | 0.738064 | + | 0.216715i | 0.629093 | − | 0.777330i | \(-0.283426\pi\) |
0.108971 | + | 0.994045i | \(0.465245\pi\) | |||||||
\(908\) | 3.08616 | + | 3.56161i | 0.102418 | + | 0.118196i | ||||
\(909\) | −3.07804 | − | 3.55225i | −0.102092 | − | 0.117821i | ||||
\(910\) | −12.9388 | − | 3.79916i | −0.428915 | − | 0.125941i | ||||
\(911\) | −18.4474 | + | 40.3941i | −0.611189 | + | 1.33832i | 0.310568 | + | 0.950551i | \(0.399481\pi\) |
−0.921758 | + | 0.387767i | \(0.873247\pi\) | |||||||
\(912\) | 13.5308 | + | 8.69570i | 0.448048 | + | 0.287943i | ||||
\(913\) | −1.07900 | + | 0.316824i | −0.0357097 | + | 0.0104853i | ||||
\(914\) | −5.01344 | + | 34.8693i | −0.165830 | + | 1.15337i | ||||
\(915\) | −2.09796 | − | 4.59389i | −0.0693563 | − | 0.151869i | ||||
\(916\) | −0.693463 | − | 4.82314i | −0.0229127 | − | 0.159361i | ||||
\(917\) | 12.1124 | − | 7.78418i | 0.399987 | − | 0.257056i | ||||
\(918\) | 2.68330 | − | 3.09670i | 0.0885622 | − | 0.102206i | ||||
\(919\) | −28.0150 | −0.924130 | −0.462065 | − | 0.886846i | \(-0.652891\pi\) | ||||
−0.462065 | + | 0.886846i | \(0.652891\pi\) | |||||||
\(920\) | 0.994545 | + | 12.2530i | 0.0327892 | + | 0.403968i | ||||
\(921\) | 11.1010 | 0.365791 | ||||||||
\(922\) | −7.60597 | + | 8.77776i | −0.250489 | + | 0.289080i | ||||
\(923\) | −0.538197 | + | 0.345878i | −0.0177150 | + | 0.0113847i | ||||
\(924\) | −0.0172179 | − | 0.119753i | −0.000566428 | − | 0.00393959i | ||||
\(925\) | −1.34983 | − | 2.95571i | −0.0443821 | − | 0.0971832i | ||||
\(926\) | 5.28671 | − | 36.7699i | 0.173732 | − | 1.20833i | ||||
\(927\) | 4.66978 | − | 1.37117i | 0.153376 | − | 0.0450352i | ||||
\(928\) | −4.08077 | − | 2.62255i | −0.133958 | − | 0.0860896i | ||||
\(929\) | −23.4616 | + | 51.3737i | −0.769749 | + | 1.68552i | −0.0425444 | + | 0.999095i | \(0.513546\pi\) |
−0.727205 | + | 0.686421i | \(0.759181\pi\) | |||||||
\(930\) | 12.3290 | + | 3.62013i | 0.404285 | + | 0.118709i | ||||
\(931\) | 2.48615 | + | 2.86917i | 0.0814804 | + | 0.0940334i | ||||
\(932\) | −2.35846 | − | 2.72181i | −0.0772540 | − | 0.0891559i | ||||
\(933\) | −1.77363 | − | 0.520785i | −0.0580660 | − | 0.0170497i | ||||
\(934\) | 24.1414 | − | 52.8623i | 0.789931 | − | 1.72971i | ||||
\(935\) | 0.356780 | + | 0.229289i | 0.0116680 | + | 0.00749855i | ||||
\(936\) | 8.95027 | − | 2.62804i | 0.292549 | − | 0.0859001i | ||||
\(937\) | −1.16305 | + | 8.08917i | −0.0379951 | + | 0.264262i | −0.999960 | − | 0.00891040i | \(-0.997164\pi\) |
0.961965 | + | 0.273172i | \(0.0880728\pi\) | |||||||
\(938\) | 12.4063 | + | 27.1660i | 0.405080 | + | 0.887002i | ||||
\(939\) | 1.83864 | + | 12.7880i | 0.0600016 | + | 0.417320i | ||||
\(940\) | 3.37695 | − | 2.17024i | 0.110144 | − | 0.0707853i | ||||
\(941\) | 7.39588 | − | 8.53530i | 0.241099 | − | 0.278243i | −0.622285 | − | 0.782791i | \(-0.713795\pi\) |
0.863384 | + | 0.504548i | \(0.168341\pi\) | |||||||
\(942\) | 27.8420 | 0.907141 | ||||||||
\(943\) | −11.0762 | − | 14.5040i | −0.360690 | − | 0.472315i | ||||
\(944\) | −0.0315529 | −0.00102696 | ||||||||
\(945\) | 1.59475 | − | 1.84044i | 0.0518771 | − | 0.0598694i | ||||
\(946\) | 0.947774 | − | 0.609097i | 0.0308148 | − | 0.0198035i | ||||
\(947\) | −2.23548 | − | 15.5481i | −0.0726435 | − | 0.505247i | −0.993363 | − | 0.115022i | \(-0.963306\pi\) |
0.920719 | − | 0.390225i | \(-0.127603\pi\) | |||||||
\(948\) | −1.12677 | − | 2.46728i | −0.0365957 | − | 0.0801335i | ||||
\(949\) | 1.92855 | − | 13.4133i | 0.0626033 | − | 0.435416i | ||||
\(950\) | 5.18231 | − | 1.52166i | 0.168137 | − | 0.0493693i | ||||
\(951\) | −20.3379 | − | 13.0704i | −0.659502 | − | 0.423836i | ||||
\(952\) | 6.98284 | − | 15.2903i | 0.226315 | − | 0.495561i | ||||
\(953\) | −10.4237 | − | 3.06067i | −0.337657 | − | 0.0991450i | 0.108509 | − | 0.994096i | \(-0.465392\pi\) |
−0.446165 | + | 0.894951i | \(0.647211\pi\) | |||||||
\(954\) | 7.36504 | + | 8.49971i | 0.238452 | + | 0.275188i | ||||
\(955\) | 9.18416 | + | 10.5991i | 0.297193 | + | 0.342979i | ||||
\(956\) | 1.96040 | + | 0.575624i | 0.0634037 | + | 0.0186170i | ||||
\(957\) | 0.179452 | − | 0.392945i | 0.00580086 | − | 0.0127021i | ||||
\(958\) | −44.1065 | − | 28.3455i | −1.42502 | − | 0.915802i | ||||
\(959\) | −0.000483728 | 0 | 0.000142035i | −1.56204e−5 | 0 | 4.58656e-6i | ||||
\(960\) | −0.906775 | + | 6.30676i | −0.0292660 | + | 0.203550i | ||||
\(961\) | 16.7447 | + | 36.6658i | 0.540152 | + | 1.18277i | ||||
\(962\) | 2.56067 | + | 17.8099i | 0.0825595 | + | 0.574214i | ||||
\(963\) | −12.4593 | + | 8.00713i | −0.401497 | + | 0.258026i | ||||
\(964\) | 1.82212 | − | 2.10284i | 0.0586865 | − | 0.0677278i | ||||
\(965\) | −5.28033 | −0.169980 | ||||||||
\(966\) | −6.36989 | − | 16.5906i | −0.204948 | − | 0.533795i | ||||
\(967\) | 42.2130 | 1.35748 | 0.678740 | − | 0.734379i | \(-0.262526\pi\) | ||||
0.678740 | + | 0.734379i | \(0.262526\pi\) | |||||||
\(968\) | 18.4232 | − | 21.2615i | 0.592143 | − | 0.683370i | ||||
\(969\) | 8.04074 | − | 5.16747i | 0.258306 | − | 0.166003i | ||||
\(970\) | −3.04662 | − | 21.1897i | −0.0978209 | − | 0.680360i | ||||
\(971\) | −2.67402 | − | 5.85529i | −0.0858135 | − | 0.187905i | 0.861860 | − | 0.507146i | \(-0.169299\pi\) |
−0.947674 | + | 0.319241i | \(0.896572\pi\) | |||||||
\(972\) | 0.0448918 | − | 0.312230i | 0.00143991 | − | 0.0100148i | ||||
\(973\) | −49.5252 | + | 14.5419i | −1.58771 | + | 0.466193i | ||||
\(974\) | 40.7452 | + | 26.1853i | 1.30556 | + | 0.839033i | ||||
\(975\) | 1.51173 | − | 3.31022i | 0.0484140 | − | 0.106012i | ||||
\(976\) | −21.9577 | − | 6.44736i | −0.702848 | − | 0.206375i | ||||
\(977\) | 17.9552 | + | 20.7214i | 0.574439 | + | 0.662938i | 0.966400 | − | 0.257044i | \(-0.0827486\pi\) |
−0.391961 | + | 0.919982i | \(0.628203\pi\) | |||||||
\(978\) | −18.3524 | − | 21.1798i | −0.586845 | − | 0.677256i | ||||
\(979\) | −2.53016 | − | 0.742923i | −0.0808644 | − | 0.0237439i | ||||
\(980\) | 0.140157 | − | 0.306900i | 0.00447714 | − | 0.00980356i | ||||
\(981\) | −4.19305 | − | 2.69471i | −0.133874 | − | 0.0860354i | ||||
\(982\) | 5.37233 | − | 1.57746i | 0.171438 | − | 0.0503387i | ||||
\(983\) | 1.36963 | − | 9.52601i | 0.0436845 | − | 0.303832i | −0.956252 | − | 0.292545i | \(-0.905498\pi\) |
0.999936 | − | 0.0112875i | \(-0.00359301\pi\) | |||||||
\(984\) | −4.05205 | − | 8.87276i | −0.129175 | − | 0.282853i | ||||
\(985\) | 1.84324 | + | 12.8200i | 0.0587304 | + | 0.408479i | ||||
\(986\) | −9.45461 | + | 6.07611i | −0.301096 | + | 0.193503i | ||||
\(987\) | 20.2942 | − | 23.4208i | 0.645972 | − | 0.745492i | ||||
\(988\) | −4.07449 | −0.129627 | ||||||||
\(989\) | 15.7883 | − | 16.0940i | 0.502038 | − | 0.511761i | ||||
\(990\) | 0.239655 | 0.00761675 | ||||||||
\(991\) | 16.2302 | − | 18.7307i | 0.515570 | − | 0.594999i | −0.436946 | − | 0.899488i | \(-0.643940\pi\) |
0.952516 | + | 0.304489i | \(0.0984855\pi\) | |||||||
\(992\) | 12.5637 | − | 8.07419i | 0.398897 | − | 0.256356i | ||||
\(993\) | −1.34043 | − | 9.32293i | −0.0425374 | − | 0.295854i | ||||
\(994\) | 0.270623 | + | 0.592582i | 0.00858364 | + | 0.0187956i | ||||
\(995\) | 0.132646 | − | 0.922574i | 0.00420516 | − | 0.0292476i | ||||
\(996\) | 2.16107 | − | 0.634548i | 0.0684762 | − | 0.0201064i | ||||
\(997\) | −50.7147 | − | 32.5924i | −1.60615 | − | 1.03221i | −0.964096 | − | 0.265553i | \(-0.914445\pi\) |
−0.642056 | − | 0.766658i | \(-0.721918\pi\) | |||||||
\(998\) | −2.14856 | + | 4.70469i | −0.0680114 | + | 0.148924i | ||||
\(999\) | −3.11773 | − | 0.915447i | −0.0986405 | − | 0.0289635i |
(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 | 345.2.m.a.16.3 | ✓ | 30 | |
23.6 | even | 11 | 7935.2.a.bp.1.4 | 15 | |||
23.13 | even | 11 | inner | 345.2.m.a.151.3 | yes | 30 | |
23.17 | odd | 22 | 7935.2.a.bq.1.4 | 15 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
345.2.m.a.16.3 | ✓ | 30 | 1.1 | even | 1 | trivial | |
345.2.m.a.151.3 | yes | 30 | 23.13 | even | 11 | inner | |
7935.2.a.bp.1.4 | 15 | 23.6 | even | 11 | |||
7935.2.a.bq.1.4 | 15 | 23.17 | odd | 22 |