Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [144,2,Mod(13,144)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(144, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 9, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("144.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 144 = 2^{4} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 144.x (of order \(12\), degree \(4\), 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: | \(1.14984578911\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 61.7 | ||
Character | \(\chi\) | \(=\) | 144.61 |
Dual form | 144.2.x.e.85.7 |
$q$-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 \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{2}{3}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.751042 | − | 1.19831i | −0.531067 | − | 0.847330i | ||||
\(3\) | −1.64464 | + | 0.543291i | −0.949532 | + | 0.313669i | ||||
\(4\) | −0.871873 | + | 1.79995i | −0.435936 | + | 0.899977i | ||||
\(5\) | −1.60558 | − | 0.430214i | −0.718037 | − | 0.192397i | −0.118741 | − | 0.992925i | \(-0.537886\pi\) |
−0.599296 | + | 0.800528i | \(0.704553\pi\) | |||||||
\(6\) | 1.88622 | + | 1.56275i | 0.770046 | + | 0.637988i | ||||
\(7\) | 3.62762 | + | 2.09441i | 1.37111 | + | 0.791611i | 0.991068 | − | 0.133358i | \(-0.0425759\pi\) |
0.380043 | + | 0.924969i | \(0.375909\pi\) | |||||||
\(8\) | 2.81171 | − | 0.307071i | 0.994089 | − | 0.108566i | ||||
\(9\) | 2.40967 | − | 1.78703i | 0.803223 | − | 0.595678i | ||||
\(10\) | 0.690330 | + | 2.24708i | 0.218301 | + | 0.710590i | ||||
\(11\) | 1.24125 | + | 4.63241i | 0.374251 | + | 1.39673i | 0.854436 | + | 0.519557i | \(0.173903\pi\) |
−0.480184 | + | 0.877168i | \(0.659430\pi\) | |||||||
\(12\) | 0.456016 | − | 3.43396i | 0.131641 | − | 0.991298i | ||||
\(13\) | −0.879738 | + | 3.28323i | −0.243995 | + | 0.910603i | 0.729890 | + | 0.683564i | \(0.239571\pi\) |
−0.973886 | + | 0.227039i | \(0.927096\pi\) | |||||||
\(14\) | −0.214754 | − | 5.91998i | −0.0573953 | − | 1.58218i | ||||
\(15\) | 2.87433 | − | 0.164751i | 0.742148 | − | 0.0425384i | ||||
\(16\) | −2.47968 | − | 3.13866i | −0.619919 | − | 0.784666i | ||||
\(17\) | −2.14142 | −0.519370 | −0.259685 | − | 0.965693i | \(-0.583619\pi\) | ||||
−0.259685 | + | 0.965693i | \(0.583619\pi\) | |||||||
\(18\) | −3.95118 | − | 1.54538i | −0.931301 | − | 0.364251i | ||||
\(19\) | 1.03156 | + | 1.03156i | 0.236656 | + | 0.236656i | 0.815464 | − | 0.578808i | \(-0.196482\pi\) |
−0.578808 | + | 0.815464i | \(0.696482\pi\) | |||||||
\(20\) | 2.17423 | − | 2.51488i | 0.486172 | − | 0.562344i | ||||
\(21\) | −7.10399 | − | 1.47369i | −1.55022 | − | 0.321585i | ||||
\(22\) | 4.61882 | − | 4.96653i | 0.984735 | − | 1.05887i | ||||
\(23\) | −0.405884 | + | 0.234337i | −0.0846327 | + | 0.0488627i | −0.541719 | − | 0.840560i | \(-0.682226\pi\) |
0.457086 | + | 0.889422i | \(0.348893\pi\) | |||||||
\(24\) | −4.45742 | + | 2.03260i | −0.909866 | + | 0.414902i | ||||
\(25\) | −1.93733 | − | 1.11852i | −0.387465 | − | 0.223703i | ||||
\(26\) | 4.59503 | − | 1.41164i | 0.901159 | − | 0.276846i | ||||
\(27\) | −2.99216 | + | 4.24818i | −0.575841 | + | 0.817562i | ||||
\(28\) | −6.93266 | + | 4.70349i | −1.31015 | + | 0.888877i | ||||
\(29\) | 6.55186 | − | 1.75557i | 1.21665 | − | 0.326000i | 0.407282 | − | 0.913302i | \(-0.366477\pi\) |
0.809368 | + | 0.587302i | \(0.199810\pi\) | |||||||
\(30\) | −2.35616 | − | 3.32059i | −0.430174 | − | 0.606254i | ||||
\(31\) | 3.18054 | + | 5.50886i | 0.571242 | + | 0.989421i | 0.996439 | + | 0.0843198i | \(0.0268717\pi\) |
−0.425196 | + | 0.905101i | \(0.639795\pi\) | |||||||
\(32\) | −1.89874 | + | 5.32868i | −0.335653 | + | 0.941986i | ||||
\(33\) | −4.55816 | − | 6.94428i | −0.793473 | − | 1.20884i | ||||
\(34\) | 1.60829 | + | 2.56607i | 0.275820 | + | 0.440078i | ||||
\(35\) | −4.92339 | − | 4.92339i | −0.832204 | − | 0.832204i | ||||
\(36\) | 1.11565 | + | 5.89536i | 0.185942 | + | 0.982561i | ||||
\(37\) | −0.728237 | + | 0.728237i | −0.119721 | + | 0.119721i | −0.764429 | − | 0.644708i | \(-0.776979\pi\) |
0.644708 | + | 0.764429i | \(0.276979\pi\) | |||||||
\(38\) | 0.461380 | − | 2.01087i | 0.0748456 | − | 0.326206i | ||||
\(39\) | −0.336896 | − | 5.87767i | −0.0539466 | − | 0.941181i | ||||
\(40\) | −4.64653 | − | 0.716609i | −0.734681 | − | 0.113306i | ||||
\(41\) | 2.52351 | − | 1.45695i | 0.394105 | − | 0.227537i | −0.289832 | − | 0.957078i | \(-0.593599\pi\) |
0.683937 | + | 0.729541i | \(0.260266\pi\) | |||||||
\(42\) | 3.56946 | + | 9.61955i | 0.550780 | + | 1.48433i | ||||
\(43\) | −2.84802 | − | 10.6289i | −0.434318 | − | 1.62090i | −0.742692 | − | 0.669633i | \(-0.766451\pi\) |
0.308374 | − | 0.951265i | \(-0.400215\pi\) | |||||||
\(44\) | −9.42035 | − | 1.80468i | −1.42017 | − | 0.272066i | ||||
\(45\) | −4.63772 | + | 1.83255i | −0.691351 | + | 0.273181i | ||||
\(46\) | 0.585644 | + | 0.310376i | 0.0863485 | + | 0.0457625i | ||||
\(47\) | −4.61716 | + | 7.99715i | −0.673482 | + | 1.16650i | 0.303429 | + | 0.952854i | \(0.401869\pi\) |
−0.976910 | + | 0.213650i | \(0.931465\pi\) | |||||||
\(48\) | 5.78338 | + | 3.81478i | 0.834759 | + | 0.550616i | ||||
\(49\) | 5.27308 | + | 9.13324i | 0.753297 | + | 1.30475i | ||||
\(50\) | 0.114689 | + | 3.16156i | 0.0162195 | + | 0.447112i | ||||
\(51\) | 3.52186 | − | 1.16341i | 0.493159 | − | 0.162910i | ||||
\(52\) | −5.14264 | − | 4.44604i | −0.713156 | − | 0.616555i | ||||
\(53\) | 1.17892 | − | 1.17892i | 0.161937 | − | 0.161937i | −0.621487 | − | 0.783424i | \(-0.713471\pi\) |
0.783424 | + | 0.621487i | \(0.213471\pi\) | |||||||
\(54\) | 7.33785 | + | 0.394961i | 0.998555 | + | 0.0537473i | ||||
\(55\) | − | 7.97171i | − | 1.07491i | ||||||
\(56\) | 10.8429 | + | 4.77492i | 1.44895 | + | 0.638076i | ||||
\(57\) | −2.25698 | − | 1.13611i | −0.298944 | − | 0.150481i | ||||
\(58\) | −7.02443 | − | 6.53263i | −0.922352 | − | 0.857776i | ||||
\(59\) | −1.48185 | − | 0.397061i | −0.192921 | − | 0.0516930i | 0.161065 | − | 0.986944i | \(-0.448507\pi\) |
−0.353986 | + | 0.935251i | \(0.615174\pi\) | |||||||
\(60\) | −2.20950 | + | 5.31730i | −0.285246 | + | 0.686461i | ||||
\(61\) | 7.53224 | − | 2.01826i | 0.964404 | − | 0.258411i | 0.257941 | − | 0.966161i | \(-0.416956\pi\) |
0.706464 | + | 0.707749i | \(0.250289\pi\) | |||||||
\(62\) | 4.21258 | − | 7.94865i | 0.534998 | − | 1.00948i | ||||
\(63\) | 12.4841 | − | 1.43585i | 1.57285 | − | 0.180900i | ||||
\(64\) | 7.81141 | − | 1.72679i | 0.976427 | − | 0.215849i | ||||
\(65\) | 2.82498 | − | 4.89300i | 0.350395 | − | 0.606902i | ||||
\(66\) | −4.89801 | + | 10.6775i | −0.602903 | + | 1.31431i | ||||
\(67\) | 2.63252 | − | 9.82470i | 0.321614 | − | 1.20028i | −0.596059 | − | 0.802941i | \(-0.703268\pi\) |
0.917673 | − | 0.397338i | \(-0.130066\pi\) | |||||||
\(68\) | 1.86704 | − | 3.85445i | 0.226412 | − | 0.467421i | ||||
\(69\) | 0.540220 | − | 0.605914i | 0.0650348 | − | 0.0729434i | ||||
\(70\) | −2.20205 | + | 9.59739i | −0.263196 | + | 1.14711i | ||||
\(71\) | 8.27863i | 0.982493i | 0.871021 | + | 0.491246i | \(0.163458\pi\) | ||||
−0.871021 | + | 0.491246i | \(0.836542\pi\) | |||||||
\(72\) | 6.22654 | − | 5.76456i | 0.733805 | − | 0.679360i | ||||
\(73\) | − | 8.16641i | − | 0.955806i | −0.878413 | − | 0.477903i | \(-0.841397\pi\) | ||
0.878413 | − | 0.477903i | \(-0.158603\pi\) | |||||||
\(74\) | 1.41959 | + | 0.325714i | 0.165024 | + | 0.0378635i | ||||
\(75\) | 3.79388 | + | 0.787022i | 0.438079 | + | 0.0908775i | ||||
\(76\) | −2.75615 | + | 0.957372i | −0.316152 | + | 0.109818i | ||||
\(77\) | −5.19937 | + | 19.4043i | −0.592523 | + | 2.21133i | ||||
\(78\) | −6.79022 | + | 4.81808i | −0.768842 | + | 0.545540i | ||||
\(79\) | 3.63065 | − | 6.28847i | 0.408480 | − | 0.707508i | −0.586240 | − | 0.810138i | \(-0.699392\pi\) |
0.994720 | + | 0.102630i | \(0.0327257\pi\) | |||||||
\(80\) | 2.63102 | + | 6.10616i | 0.294157 | + | 0.682690i | ||||
\(81\) | 2.61302 | − | 8.61232i | 0.290336 | − | 0.956925i | ||||
\(82\) | −3.64113 | − | 1.92970i | −0.402095 | − | 0.213100i | ||||
\(83\) | −7.59149 | + | 2.03413i | −0.833274 | + | 0.223275i | −0.650142 | − | 0.759813i | \(-0.725290\pi\) |
−0.183133 | + | 0.983088i | \(0.558624\pi\) | |||||||
\(84\) | 8.84635 | − | 11.5020i | 0.965216 | − | 1.25497i | ||||
\(85\) | 3.43821 | + | 0.921267i | 0.372927 | + | 0.0999254i | ||||
\(86\) | −10.5977 | + | 11.3956i | −1.14278 | + | 1.22882i | ||||
\(87\) | −9.82166 | + | 6.44684i | −1.05299 | + | 0.691174i | ||||
\(88\) | 4.91252 | + | 12.6438i | 0.523676 | + | 1.34784i | ||||
\(89\) | − | 11.1968i | − | 1.18686i | −0.804886 | − | 0.593429i | \(-0.797774\pi\) | ||
0.804886 | − | 0.593429i | \(-0.202226\pi\) | |||||||
\(90\) | 5.67908 | + | 4.18109i | 0.598628 | + | 0.440725i | ||||
\(91\) | −10.0678 | + | 10.0678i | −1.05539 | + | 1.05539i | ||||
\(92\) | −0.0679173 | − | 0.934886i | −0.00708087 | − | 0.0974686i | ||||
\(93\) | −8.22376 | − | 7.33213i | −0.852764 | − | 0.760306i | ||||
\(94\) | 13.0507 | − | 0.473428i | 1.34608 | − | 0.0488304i | ||||
\(95\) | −1.21246 | − | 2.10004i | −0.124396 | − | 0.215460i | ||||
\(96\) | 0.227716 | − | 9.79531i | 0.0232412 | − | 0.999730i | ||||
\(97\) | −5.67759 | + | 9.83387i | −0.576472 | + | 0.998479i | 0.419408 | + | 0.907798i | \(0.362238\pi\) |
−0.995880 | + | 0.0906808i | \(0.971096\pi\) | |||||||
\(98\) | 6.98411 | − | 13.1782i | 0.705501 | − | 1.33120i | ||||
\(99\) | 11.2693 | + | 8.94443i | 1.13261 | + | 0.898949i | ||||
\(100\) | 3.70238 | − | 2.51190i | 0.370238 | − | 0.251190i | ||||
\(101\) | 0.777558 | + | 2.90189i | 0.0773699 | + | 0.288749i | 0.993760 | − | 0.111537i | \(-0.0355775\pi\) |
−0.916390 | + | 0.400286i | \(0.868911\pi\) | |||||||
\(102\) | −4.03918 | − | 3.34649i | −0.399939 | − | 0.331352i | ||||
\(103\) | −1.24824 | + | 0.720669i | −0.122992 | + | 0.0710096i | −0.560234 | − | 0.828334i | \(-0.689289\pi\) |
0.437242 | + | 0.899344i | \(0.355955\pi\) | |||||||
\(104\) | −1.46538 | + | 9.50162i | −0.143693 | + | 0.931710i | ||||
\(105\) | 10.7720 | + | 5.42236i | 1.05124 | + | 0.529168i | ||||
\(106\) | −2.29812 | − | 0.527287i | −0.223213 | − | 0.0512146i | ||||
\(107\) | 5.85602 | − | 5.85602i | 0.566123 | − | 0.566123i | −0.364917 | − | 0.931040i | \(-0.618903\pi\) |
0.931040 | + | 0.364917i | \(0.118903\pi\) | |||||||
\(108\) | −5.03775 | − | 9.08962i | −0.484757 | − | 0.874649i | ||||
\(109\) | −2.05249 | − | 2.05249i | −0.196593 | − | 0.196593i | 0.601945 | − | 0.798538i | \(-0.294393\pi\) |
−0.798538 | + | 0.601945i | \(0.794393\pi\) | |||||||
\(110\) | −9.55255 | + | 5.98709i | −0.910799 | + | 0.570846i | ||||
\(111\) | 0.802042 | − | 1.59333i | 0.0761265 | − | 0.151232i | ||||
\(112\) | −2.42168 | − | 16.5793i | −0.228827 | − | 1.56660i | ||||
\(113\) | −4.12726 | − | 7.14862i | −0.388260 | − | 0.672486i | 0.603956 | − | 0.797018i | \(-0.293590\pi\) |
−0.992216 | + | 0.124532i | \(0.960257\pi\) | |||||||
\(114\) | 0.333684 | + | 3.55781i | 0.0312524 | + | 0.333220i | ||||
\(115\) | 0.752495 | − | 0.201630i | 0.0701705 | − | 0.0188021i | ||||
\(116\) | −2.55245 | + | 13.3237i | −0.236989 | + | 1.23707i | ||||
\(117\) | 3.74736 | + | 9.48361i | 0.346443 | + | 0.876760i | ||||
\(118\) | 0.637132 | + | 2.07392i | 0.0586528 | + | 0.190920i | ||||
\(119\) | −7.76824 | − | 4.48500i | −0.712114 | − | 0.411139i | ||||
\(120\) | 8.03118 | − | 1.34585i | 0.733143 | − | 0.122859i | ||||
\(121\) | −10.3923 | + | 5.99998i | −0.944752 | + | 0.545453i | ||||
\(122\) | −8.07551 | − | 7.51013i | −0.731123 | − | 0.679935i | ||||
\(123\) | −3.35871 | + | 3.76715i | −0.302845 | + | 0.339672i | ||||
\(124\) | −12.6887 | + | 0.921808i | −1.13948 | + | 0.0827808i | ||||
\(125\) | 8.50616 | + | 8.50616i | 0.760814 | + | 0.760814i | ||||
\(126\) | −11.0967 | − | 13.8814i | −0.988572 | − | 1.23666i | ||||
\(127\) | −1.68483 | −0.149504 | −0.0747521 | − | 0.997202i | \(-0.523817\pi\) | ||||
−0.0747521 | + | 0.997202i | \(0.523817\pi\) | |||||||
\(128\) | −7.93592 | − | 8.06357i | −0.701443 | − | 0.712726i | ||||
\(129\) | 10.4586 | + | 15.9335i | 0.920825 | + | 1.40286i | ||||
\(130\) | −7.98499 | + | 0.289664i | −0.700330 | + | 0.0254052i | ||||
\(131\) | 1.97334 | − | 7.36461i | 0.172412 | − | 0.643449i | −0.824566 | − | 0.565765i | \(-0.808581\pi\) |
0.996978 | − | 0.0776838i | \(-0.0247525\pi\) | |||||||
\(132\) | 16.4735 | − | 2.14995i | 1.43384 | − | 0.187129i | ||||
\(133\) | 1.58160 | + | 5.90261i | 0.137142 | + | 0.511821i | ||||
\(134\) | −13.7501 | + | 4.22420i | −1.18783 | + | 0.364915i | ||||
\(135\) | 6.63177 | − | 5.53352i | 0.570772 | − | 0.476249i | ||||
\(136\) | −6.02104 | + | 0.657567i | −0.516300 | + | 0.0563859i | ||||
\(137\) | 8.26806 | + | 4.77357i | 0.706388 | + | 0.407833i | 0.809722 | − | 0.586813i | \(-0.199618\pi\) |
−0.103334 | + | 0.994647i | \(0.532951\pi\) | |||||||
\(138\) | −1.13180 | − | 0.192282i | −0.0963450 | − | 0.0163681i | ||||
\(139\) | −13.9684 | − | 3.74281i | −1.18478 | − | 0.317461i | −0.387960 | − | 0.921676i | \(-0.626820\pi\) |
−0.796821 | + | 0.604215i | \(0.793487\pi\) | |||||||
\(140\) | 13.1544 | − | 4.56931i | 1.11175 | − | 0.386177i | ||||
\(141\) | 3.24877 | − | 15.6609i | 0.273596 | − | 1.31888i | ||||
\(142\) | 9.92033 | − | 6.21760i | 0.832495 | − | 0.521769i | ||||
\(143\) | −16.3012 | −1.36318 | ||||||||
\(144\) | −11.5841 | − | 3.13188i | −0.965342 | − | 0.260990i | ||||
\(145\) | −11.2748 | −0.936321 | ||||||||
\(146\) | −9.78586 | + | 6.13331i | −0.809883 | + | 0.507597i | ||||
\(147\) | −13.6343 | − | 12.1561i | −1.12454 | − | 1.00261i | ||||
\(148\) | −0.675864 | − | 1.94572i | −0.0555557 | − | 0.159938i | ||||
\(149\) | −1.66249 | − | 0.445462i | −0.136196 | − | 0.0364937i | 0.190077 | − | 0.981769i | \(-0.439126\pi\) |
−0.326273 | + | 0.945276i | \(0.605793\pi\) | |||||||
\(150\) | −1.90627 | − | 5.13731i | −0.155646 | − | 0.419460i | ||||
\(151\) | 18.5071 | + | 10.6851i | 1.50609 | + | 0.869542i | 0.999975 | + | 0.00707596i | \(0.00225237\pi\) |
0.506115 | + | 0.862466i | \(0.331081\pi\) | |||||||
\(152\) | 3.21721 | + | 2.58368i | 0.260950 | + | 0.209564i | ||||
\(153\) | −5.16011 | + | 3.82678i | −0.417170 | + | 0.309377i | ||||
\(154\) | 27.1572 | − | 8.34301i | 2.18839 | − | 0.672299i | ||||
\(155\) | −2.73663 | − | 10.2132i | −0.219811 | − | 0.820346i | ||||
\(156\) | 10.8733 | + | 4.51818i | 0.870559 | + | 0.361744i | ||||
\(157\) | 2.74550 | − | 10.2463i | 0.219114 | − | 0.817746i | −0.765563 | − | 0.643361i | \(-0.777539\pi\) |
0.984677 | − | 0.174385i | \(-0.0557938\pi\) | |||||||
\(158\) | −10.2623 | + | 0.372275i | −0.816422 | + | 0.0296166i | ||||
\(159\) | −1.29840 | + | 2.57939i | −0.102970 | + | 0.204559i | ||||
\(160\) | 5.34104 | − | 7.73875i | 0.422247 | − | 0.611802i | ||||
\(161\) | −1.96319 | −0.154721 | ||||||||
\(162\) | −12.2827 | + | 3.33702i | −0.965019 | + | 0.262181i | ||||
\(163\) | −3.47621 | − | 3.47621i | −0.272278 | − | 0.272278i | 0.557739 | − | 0.830017i | \(-0.311669\pi\) |
−0.830017 | + | 0.557739i | \(0.811669\pi\) | |||||||
\(164\) | 0.422263 | + | 5.81247i | 0.0329732 | + | 0.453878i | ||||
\(165\) | 4.33096 | + | 13.1106i | 0.337165 | + | 1.02066i | ||||
\(166\) | 8.13904 | + | 7.56920i | 0.631712 | + | 0.587484i | ||||
\(167\) | 0.277442 | − | 0.160181i | 0.0214691 | − | 0.0123952i | −0.489227 | − | 0.872156i | \(-0.662721\pi\) |
0.510696 | + | 0.859761i | \(0.329388\pi\) | |||||||
\(168\) | −20.4269 | − | 1.96215i | −1.57597 | − | 0.151383i | ||||
\(169\) | 1.25270 | + | 0.723245i | 0.0963613 | + | 0.0556342i | ||||
\(170\) | −1.47828 | − | 4.81194i | −0.113379 | − | 0.369059i | ||||
\(171\) | 4.32915 | + | 0.642287i | 0.331059 | + | 0.0491169i | ||||
\(172\) | 21.6147 | + | 4.14078i | 1.64811 | + | 0.315732i | ||||
\(173\) | 11.6901 | − | 3.13236i | 0.888784 | − | 0.238149i | 0.214591 | − | 0.976704i | \(-0.431158\pi\) |
0.674193 | + | 0.738555i | \(0.264491\pi\) | |||||||
\(174\) | 15.1018 | + | 6.92751i | 1.14486 | + | 0.525173i | ||||
\(175\) | −4.68525 | − | 8.11510i | −0.354172 | − | 0.613444i | ||||
\(176\) | 11.4617 | − | 15.3828i | 0.863957 | − | 1.15952i | ||||
\(177\) | 2.65283 | − | 0.152055i | 0.199399 | − | 0.0114291i | ||||
\(178\) | −13.4172 | + | 8.40926i | −1.00566 | + | 0.630301i | ||||
\(179\) | 18.6780 | + | 18.6780i | 1.39606 | + | 1.39606i | 0.810958 | + | 0.585104i | \(0.198946\pi\) |
0.585104 | + | 0.810958i | \(0.301054\pi\) | |||||||
\(180\) | 0.744994 | − | 9.94544i | 0.0555286 | − | 0.741290i | ||||
\(181\) | 4.10527 | − | 4.10527i | 0.305143 | − | 0.305143i | −0.537879 | − | 0.843022i | \(-0.680774\pi\) |
0.843022 | + | 0.537879i | \(0.180774\pi\) | |||||||
\(182\) | 19.6256 | + | 4.50295i | 1.45474 | + | 0.333781i | ||||
\(183\) | −11.2913 | + | 7.41150i | −0.834677 | + | 0.547874i | ||||
\(184\) | −1.06927 | + | 0.783524i | −0.0788277 | + | 0.0577622i | ||||
\(185\) | 1.48254 | − | 0.855945i | 0.108998 | − | 0.0629303i | ||||
\(186\) | −2.60974 | + | 15.3613i | −0.191356 | + | 1.12635i | ||||
\(187\) | −2.65804 | − | 9.91993i | −0.194375 | − | 0.725417i | ||||
\(188\) | −10.3689 | − | 15.2832i | −0.756232 | − | 1.11464i | ||||
\(189\) | −19.7518 | + | 9.14397i | −1.43673 | + | 0.665126i | ||||
\(190\) | −1.60588 | + | 3.03012i | −0.116503 | + | 0.219828i | ||||
\(191\) | 8.60099 | − | 14.8974i | 0.622346 | − | 1.07793i | −0.366702 | − | 0.930338i | \(-0.619513\pi\) |
0.989048 | − | 0.147596i | \(-0.0471536\pi\) | |||||||
\(192\) | −11.9088 | + | 7.08381i | −0.859444 | + | 0.511230i | ||||
\(193\) | 9.17459 | + | 15.8909i | 0.660402 | + | 1.14385i | 0.980510 | + | 0.196468i | \(0.0629473\pi\) |
−0.320108 | + | 0.947381i | \(0.603719\pi\) | |||||||
\(194\) | 16.0481 | − | 0.582162i | 1.15219 | − | 0.0417968i | ||||
\(195\) | −1.98774 | + | 9.58201i | −0.142345 | + | 0.686182i | ||||
\(196\) | −21.0369 | + | 1.52828i | −1.50263 | + | 0.109163i | ||||
\(197\) | 8.80431 | − | 8.80431i | 0.627281 | − | 0.627281i | −0.320102 | − | 0.947383i | \(-0.603717\pi\) |
0.947383 | + | 0.320102i | \(0.103717\pi\) | |||||||
\(198\) | 2.25446 | − | 20.2217i | 0.160217 | − | 1.43709i | ||||
\(199\) | − | 10.0277i | − | 0.710847i | −0.934705 | − | 0.355423i | \(-0.884337\pi\) | ||
0.934705 | − | 0.355423i | \(-0.115663\pi\) | |||||||
\(200\) | −5.79066 | − | 2.55004i | −0.409462 | − | 0.180315i | ||||
\(201\) | 1.00813 | + | 17.5883i | 0.0711077 | + | 1.24058i | ||||
\(202\) | 2.89337 | − | 3.11119i | 0.203577 | − | 0.218903i | ||||
\(203\) | 27.4445 | + | 7.35374i | 1.92623 | + | 0.516131i | ||||
\(204\) | −0.976521 | + | 7.35353i | −0.0683701 | + | 0.514850i | ||||
\(205\) | −4.67849 | + | 1.25360i | −0.326760 | + | 0.0875550i | ||||
\(206\) | 1.80106 | + | 0.954515i | 0.125486 | + | 0.0665042i | ||||
\(207\) | −0.559278 | + | 1.29001i | −0.0388725 | + | 0.0896616i | ||||
\(208\) | 12.4864 | − | 5.38014i | 0.865776 | − | 0.373045i | ||||
\(209\) | −3.49819 | + | 6.05904i | −0.241975 | + | 0.419112i | ||||
\(210\) | −1.59259 | − | 16.9806i | −0.109899 | − | 1.17177i | ||||
\(211\) | −5.14678 | + | 19.2080i | −0.354319 | + | 1.32234i | 0.527021 | + | 0.849852i | \(0.323309\pi\) |
−0.881340 | + | 0.472483i | \(0.843358\pi\) | |||||||
\(212\) | 1.09413 | + | 3.14986i | 0.0751452 | + | 0.216333i | ||||
\(213\) | −4.49770 | − | 13.6154i | −0.308178 | − | 0.932908i | ||||
\(214\) | −11.4154 | − | 2.61919i | −0.780342 | − | 0.179044i | ||||
\(215\) | 18.2909i | 1.24743i | ||||||||
\(216\) | −7.10858 | + | 12.8634i | −0.483678 | + | 0.875246i | ||||
\(217\) | 26.6454i | 1.80881i | ||||||||
\(218\) | −0.918005 | + | 4.00102i | −0.0621751 | + | 0.270983i | ||||
\(219\) | 4.43674 | + | 13.4308i | 0.299807 | + | 0.907569i | ||||
\(220\) | 14.3487 | + | 6.95032i | 0.967390 | + | 0.468590i | ||||
\(221\) | 1.88389 | − | 7.03076i | 0.126724 | − | 0.472940i | ||||
\(222\) | −2.51166 | + | 0.235567i | −0.168572 | + | 0.0158102i | ||||
\(223\) | −6.96587 | + | 12.0652i | −0.466469 | + | 0.807948i | −0.999266 | − | 0.0382947i | \(-0.987807\pi\) |
0.532797 | + | 0.846243i | \(0.321141\pi\) | |||||||
\(224\) | −18.0483 | + | 15.3537i | −1.20590 | + | 1.02586i | ||||
\(225\) | −6.66714 | + | 0.766813i | −0.444476 | + | 0.0511209i | ||||
\(226\) | −5.46649 | + | 10.3146i | −0.363625 | + | 0.686119i | ||||
\(227\) | −7.32092 | + | 1.96164i | −0.485907 | + | 0.130198i | −0.493452 | − | 0.869773i | \(-0.664265\pi\) |
0.00754492 | + | 0.999972i | \(0.497598\pi\) | |||||||
\(228\) | 4.01274 | − | 3.07192i | 0.265750 | − | 0.203443i | ||||
\(229\) | −18.4637 | − | 4.94734i | −1.22012 | − | 0.326930i | −0.409394 | − | 0.912358i | \(-0.634260\pi\) |
−0.810724 | + | 0.585428i | \(0.800926\pi\) | |||||||
\(230\) | −0.806770 | − | 0.750286i | −0.0531968 | − | 0.0494724i | ||||
\(231\) | −1.99110 | − | 34.7378i | −0.131005 | − | 2.28558i | ||||
\(232\) | 17.8828 | − | 6.94803i | 1.17407 | − | 0.456160i | ||||
\(233\) | − | 10.7647i | − | 0.705216i | −0.935771 | − | 0.352608i | \(-0.885295\pi\) | ||
0.935771 | − | 0.352608i | \(-0.114705\pi\) | |||||||
\(234\) | 8.54984 | − | 11.6131i | 0.558921 | − | 0.759170i | ||||
\(235\) | 10.8537 | − | 10.8537i | 0.708017 | − | 0.708017i | ||||
\(236\) | 2.00668 | − | 2.32108i | 0.130624 | − | 0.151089i | ||||
\(237\) | −2.55464 | + | 12.3147i | −0.165941 | + | 0.799929i | ||||
\(238\) | 0.459877 | + | 12.6771i | 0.0298094 | + | 0.821738i | ||||
\(239\) | −11.1429 | − | 19.3001i | −0.720774 | − | 1.24842i | −0.960690 | − | 0.277624i | \(-0.910453\pi\) |
0.239916 | − | 0.970794i | \(-0.422880\pi\) | |||||||
\(240\) | −7.64450 | − | 8.61302i | −0.493450 | − | 0.555968i | ||||
\(241\) | 13.7285 | − | 23.7785i | 0.884332 | − | 1.53171i | 0.0378540 | − | 0.999283i | \(-0.487948\pi\) |
0.846478 | − | 0.532424i | \(-0.178719\pi\) | |||||||
\(242\) | 14.9948 | + | 7.94688i | 0.963905 | + | 0.510845i | ||||
\(243\) | 0.381525 | + | 15.5838i | 0.0244748 | + | 0.999700i | ||||
\(244\) | −2.93438 | + | 15.3174i | −0.187855 | + | 0.980593i | ||||
\(245\) | −4.53710 | − | 16.9327i | −0.289865 | − | 1.08179i | ||||
\(246\) | 7.03673 | + | 1.19547i | 0.448645 | + | 0.0762206i | ||||
\(247\) | −4.29435 | + | 2.47934i | −0.273243 | + | 0.157757i | ||||
\(248\) | 10.6344 | + | 14.5127i | 0.675284 | + | 0.921555i | ||||
\(249\) | 11.3801 | − | 7.46980i | 0.721186 | − | 0.473379i | ||||
\(250\) | 3.80450 | − | 16.5815i | 0.240618 | − | 1.04870i | ||||
\(251\) | 11.4125 | − | 11.4125i | 0.720350 | − | 0.720350i | −0.248326 | − | 0.968676i | \(-0.579881\pi\) |
0.968676 | + | 0.248326i | \(0.0798805\pi\) | |||||||
\(252\) | −8.30012 | + | 23.7228i | −0.522858 | + | 1.49439i | ||||
\(253\) | −1.58935 | − | 1.58935i | −0.0999217 | − | 0.0999217i | ||||
\(254\) | 1.26538 | + | 2.01894i | 0.0793967 | + | 0.126679i | ||||
\(255\) | −6.15514 | + | 0.352800i | −0.385450 | + | 0.0220932i | ||||
\(256\) | −3.70242 | + | 15.5657i | −0.231401 | + | 0.972858i | ||||
\(257\) | −0.930384 | − | 1.61147i | −0.0580357 | − | 0.100521i | 0.835548 | − | 0.549418i | \(-0.185150\pi\) |
−0.893584 | + | 0.448897i | \(0.851817\pi\) | |||||||
\(258\) | 11.2383 | − | 24.4992i | 0.699668 | − | 1.52526i | ||||
\(259\) | −4.16699 | + | 1.11654i | −0.258924 | + | 0.0693785i | ||||
\(260\) | 6.34417 | + | 9.35091i | 0.393449 | + | 0.579919i | ||||
\(261\) | 12.6506 | − | 15.9387i | 0.783051 | − | 0.986583i | ||||
\(262\) | −10.3071 | + | 3.16646i | −0.636776 | + | 0.195625i | ||||
\(263\) | 0.0414842 | + | 0.0239509i | 0.00255802 | + | 0.00147687i | 0.501278 | − | 0.865286i | \(-0.332863\pi\) |
−0.498720 | + | 0.866763i | \(0.666197\pi\) | |||||||
\(264\) | −14.9486 | − | 18.1256i | −0.920023 | − | 1.11556i | ||||
\(265\) | −2.40003 | + | 1.38566i | −0.147433 | + | 0.0851203i | ||||
\(266\) | 5.88528 | − | 6.32835i | 0.360850 | − | 0.388016i | ||||
\(267\) | 6.08312 | + | 18.4147i | 0.372281 | + | 1.12696i | ||||
\(268\) | 15.3888 | + | 13.3043i | 0.940020 | + | 0.812690i | ||||
\(269\) | −14.5681 | − | 14.5681i | −0.888235 | − | 0.888235i | 0.106118 | − | 0.994354i | \(-0.466158\pi\) |
−0.994354 | + | 0.106118i | \(0.966158\pi\) | |||||||
\(270\) | −11.6116 | − | 3.79098i | −0.706658 | − | 0.230712i | ||||
\(271\) | −15.7807 | −0.958607 | −0.479304 | − | 0.877649i | \(-0.659111\pi\) | ||||
−0.479304 | + | 0.877649i | \(0.659111\pi\) | |||||||
\(272\) | 5.31002 | + | 6.72119i | 0.321967 | + | 0.407532i | ||||
\(273\) | 11.0881 | − | 22.0275i | 0.671083 | − | 1.33317i | ||||
\(274\) | −0.489466 | − | 13.4928i | −0.0295697 | − | 0.815131i | ||||
\(275\) | 2.77672 | − | 10.3629i | 0.167442 | − | 0.624904i | ||||
\(276\) | 0.619615 | + | 1.50065i | 0.0372964 | + | 0.0903285i | ||||
\(277\) | −1.93294 | − | 7.21383i | −0.116139 | − | 0.433437i | 0.883231 | − | 0.468939i | \(-0.155364\pi\) |
−0.999370 | + | 0.0355022i | \(0.988697\pi\) | |||||||
\(278\) | 6.00579 | + | 19.5494i | 0.360203 | + | 1.17249i | ||||
\(279\) | 17.5086 | + | 7.59080i | 1.04821 | + | 0.454449i | ||||
\(280\) | −15.3550 | − | 12.3313i | −0.917634 | − | 0.736936i | ||||
\(281\) | −5.84440 | − | 3.37427i | −0.348648 | − | 0.201292i | 0.315442 | − | 0.948945i | \(-0.397847\pi\) |
−0.664089 | + | 0.747653i | \(0.731181\pi\) | |||||||
\(282\) | −21.2065 | + | 7.86895i | −1.26283 | + | 0.468589i | ||||
\(283\) | 12.4414 | + | 3.33366i | 0.739563 | + | 0.198165i | 0.608884 | − | 0.793259i | \(-0.291617\pi\) |
0.130679 | + | 0.991425i | \(0.458284\pi\) | |||||||
\(284\) | −14.9012 | − | 7.21791i | −0.884221 | − | 0.428304i | ||||
\(285\) | 3.13499 | + | 2.79509i | 0.185701 | + | 0.165567i | ||||
\(286\) | 12.2429 | + | 19.5339i | 0.723938 | + | 1.15506i | ||||
\(287\) | 12.2058 | 0.720483 | ||||||||
\(288\) | 4.94719 | + | 16.2335i | 0.291516 | + | 0.956566i | ||||
\(289\) | −12.4143 | −0.730255 | ||||||||
\(290\) | 8.46785 | + | 13.5107i | 0.497249 | + | 0.793373i | ||||
\(291\) | 3.99493 | − | 19.2577i | 0.234187 | − | 1.12891i | ||||
\(292\) | 14.6992 | + | 7.12007i | 0.860204 | + | 0.416671i | ||||
\(293\) | 13.8785 | + | 3.71874i | 0.810792 | + | 0.217251i | 0.640317 | − | 0.768111i | \(-0.278803\pi\) |
0.170475 | + | 0.985362i | \(0.445470\pi\) | |||||||
\(294\) | −4.32674 | + | 25.4678i | −0.252340 | + | 1.48531i | ||||
\(295\) | 2.20841 | + | 1.27503i | 0.128579 | + | 0.0742349i | ||||
\(296\) | −1.82397 | + | 2.27121i | −0.106016 | + | 0.132011i | ||||
\(297\) | −23.3933 | − | 8.58785i | −1.35742 | − | 0.498318i | ||||
\(298\) | 0.714797 | + | 2.32673i | 0.0414071 | + | 0.134784i | ||||
\(299\) | −0.412311 | − | 1.53877i | −0.0238446 | − | 0.0889891i | ||||
\(300\) | −4.72438 | + | 6.14263i | −0.272762 | + | 0.354645i | ||||
\(301\) | 11.9298 | − | 44.5226i | 0.687622 | − | 2.56624i | ||||
\(302\) | −1.09562 | − | 30.2022i | −0.0630456 | − | 1.73794i | ||||
\(303\) | −2.85537 | − | 4.35011i | −0.164037 | − | 0.249907i | ||||
\(304\) | 0.679785 | − | 5.79565i | 0.0389884 | − | 0.332404i | ||||
\(305\) | −12.9619 | −0.742196 | ||||||||
\(306\) | 8.46111 | + | 3.30931i | 0.483690 | + | 0.189181i | ||||
\(307\) | 12.2394 | + | 12.2394i | 0.698539 | + | 0.698539i | 0.964095 | − | 0.265556i | \(-0.0855556\pi\) |
−0.265556 | + | 0.964095i | \(0.585556\pi\) | |||||||
\(308\) | −30.3937 | − | 26.2767i | −1.73184 | − | 1.49726i | ||||
\(309\) | 1.66136 | − | 1.86339i | 0.0945116 | − | 0.106005i | ||||
\(310\) | −10.1832 | + | 10.9499i | −0.578370 | + | 0.621911i | ||||
\(311\) | −0.742777 | + | 0.428842i | −0.0421190 | + | 0.0243174i | −0.520912 | − | 0.853611i | \(-0.674408\pi\) |
0.478793 | + | 0.877928i | \(0.341075\pi\) | |||||||
\(312\) | −2.75212 | − | 16.4229i | −0.155808 | − | 0.929761i | ||||
\(313\) | −15.8984 | − | 9.17895i | −0.898631 | − | 0.518825i | −0.0218755 | − | 0.999761i | \(-0.506964\pi\) |
−0.876756 | + | 0.480936i | \(0.840297\pi\) | |||||||
\(314\) | −14.3402 | + | 4.40548i | −0.809265 | + | 0.248616i | ||||
\(315\) | −20.6620 | − | 3.06548i | −1.16417 | − | 0.172720i | ||||
\(316\) | 8.15349 | + | 12.0177i | 0.458670 | + | 0.676051i | ||||
\(317\) | −4.02641 | + | 1.07887i | −0.226146 | + | 0.0605956i | −0.370112 | − | 0.928987i | \(-0.620681\pi\) |
0.143967 | + | 0.989583i | \(0.454014\pi\) | |||||||
\(318\) | 4.06604 | − | 0.381350i | 0.228012 | − | 0.0213851i | ||||
\(319\) | 16.2650 | + | 28.1718i | 0.910666 | + | 1.57732i | ||||
\(320\) | −13.2847 | − | 0.588080i | −0.742639 | − | 0.0328747i | ||||
\(321\) | −6.44952 | + | 12.8126i | −0.359977 | + | 0.715128i | ||||
\(322\) | 1.47444 | + | 2.35250i | 0.0821673 | + | 0.131100i | ||||
\(323\) | −2.20900 | − | 2.20900i | −0.122912 | − | 0.122912i | ||||
\(324\) | 13.2236 | + | 12.2122i | 0.734643 | + | 0.678454i | ||||
\(325\) | 5.37668 | − | 5.37668i | 0.298244 | − | 0.298244i | ||||
\(326\) | −1.55478 | + | 6.77634i | −0.0861115 | + | 0.375307i | ||||
\(327\) | 4.49070 | + | 2.26050i | 0.248336 | + | 0.125006i | ||||
\(328\) | 6.64798 | − | 4.87141i | 0.367073 | − | 0.268978i | ||||
\(329\) | −33.4986 | + | 19.3404i | −1.84684 | + | 1.06627i | ||||
\(330\) | 12.4578 | − | 15.0364i | 0.685777 | − | 0.827727i | ||||
\(331\) | 1.33734 | + | 4.99103i | 0.0735070 | + | 0.274332i | 0.992891 | − | 0.119030i | \(-0.0379785\pi\) |
−0.919384 | + | 0.393362i | \(0.871312\pi\) | |||||||
\(332\) | 2.95746 | − | 15.4378i | 0.162312 | − | 0.847262i | ||||
\(333\) | −0.453427 | + | 3.05620i | −0.0248476 | + | 0.167478i | ||||
\(334\) | −0.400317 | − | 0.212158i | −0.0219044 | − | 0.0116088i | ||||
\(335\) | −8.45344 | + | 14.6418i | −0.461861 | + | 0.799966i | ||||
\(336\) | 12.9902 | + | 25.9513i | 0.708673 | + | 1.41576i | ||||
\(337\) | 1.94762 | + | 3.37338i | 0.106094 | + | 0.183760i | 0.914185 | − | 0.405298i | \(-0.132832\pi\) |
−0.808091 | + | 0.589058i | \(0.799499\pi\) | |||||||
\(338\) | −0.0741592 | − | 2.04430i | −0.00403373 | − | 0.111195i | ||||
\(339\) | 10.6716 | + | 9.51459i | 0.579603 | + | 0.516762i | ||||
\(340\) | −4.65592 | + | 5.38540i | −0.252503 | + | 0.292065i | ||||
\(341\) | −21.5715 | + | 21.5715i | −1.16816 | + | 1.16816i | ||||
\(342\) | −2.48172 | − | 5.67003i | −0.134196 | − | 0.306600i | ||||
\(343\) | 14.8542i | 0.802049i | ||||||||
\(344\) | −11.2716 | − | 29.0109i | −0.607726 | − | 1.56417i | ||||
\(345\) | −1.12804 | + | 0.740433i | −0.0607315 | + | 0.0398635i | ||||
\(346\) | −12.5333 | − | 11.6558i | −0.673795 | − | 0.626621i | ||||
\(347\) | −3.04812 | − | 0.816741i | −0.163632 | − | 0.0438449i | 0.176073 | − | 0.984377i | \(-0.443660\pi\) |
−0.339705 | + | 0.940532i | \(0.610327\pi\) | |||||||
\(348\) | −3.04078 | − | 23.2994i | −0.163003 | − | 1.24898i | ||||
\(349\) | 1.39893 | − | 0.374843i | 0.0748831 | − | 0.0200649i | −0.221183 | − | 0.975232i | \(-0.570992\pi\) |
0.296066 | + | 0.955167i | \(0.404325\pi\) | |||||||
\(350\) | −6.20554 | + | 11.7091i | −0.331700 | + | 0.625880i | ||||
\(351\) | −11.3154 | − | 13.5612i | −0.603972 | − | 0.723844i | ||||
\(352\) | −27.0414 | − | 2.18151i | −1.44131 | − | 0.116275i | ||||
\(353\) | 7.73892 | − | 13.4042i | 0.411901 | − | 0.713434i | −0.583196 | − | 0.812331i | \(-0.698198\pi\) |
0.995098 | + | 0.0988971i | \(0.0315315\pi\) | |||||||
\(354\) | −2.17459 | − | 3.06470i | −0.115578 | − | 0.162887i | ||||
\(355\) | 3.56158 | − | 13.2920i | 0.189029 | − | 0.705466i | ||||
\(356\) | 20.1537 | + | 9.76218i | 1.06815 | + | 0.517395i | ||||
\(357\) | 15.2126 | + | 3.15578i | 0.805137 | + | 0.167022i | ||||
\(358\) | 8.35401 | − | 36.4100i | 0.441523 | − | 1.92433i | ||||
\(359\) | − | 4.78775i | − | 0.252688i | −0.991987 | − | 0.126344i | \(-0.959676\pi\) | ||
0.991987 | − | 0.126344i | \(-0.0403242\pi\) | |||||||
\(360\) | −12.4772 | + | 6.57671i | −0.657606 | + | 0.346623i | ||||
\(361\) | − | 16.8718i | − | 0.887988i | ||||||
\(362\) | −8.00261 | − | 1.83614i | −0.420608 | − | 0.0965054i | ||||
\(363\) | 13.8318 | − | 15.5138i | 0.725981 | − | 0.814264i | ||||
\(364\) | −9.34371 | − | 26.8993i | −0.489743 | − | 1.40991i | ||||
\(365\) | −3.51330 | + | 13.1118i | −0.183895 | + | 0.686304i | ||||
\(366\) | 17.3615 | + | 7.96409i | 0.907499 | + | 0.416290i | ||||
\(367\) | −9.93807 | + | 17.2133i | −0.518763 | + | 0.898524i | 0.480999 | + | 0.876721i | \(0.340274\pi\) |
−0.999762 | + | 0.0218032i | \(0.993059\pi\) | |||||||
\(368\) | 1.74197 | + | 0.692854i | 0.0908064 | + | 0.0361175i | ||||
\(369\) | 3.47720 | − | 8.02035i | 0.181016 | − | 0.417523i | ||||
\(370\) | −2.13913 | − | 1.13369i | −0.111208 | − | 0.0589375i | ||||
\(371\) | 6.74579 | − | 1.80753i | 0.350224 | − | 0.0938422i | ||||
\(372\) | 20.3676 | − | 8.40971i | 1.05601 | − | 0.436023i | ||||
\(373\) | −0.427591 | − | 0.114573i | −0.0221398 | − | 0.00593235i | 0.247732 | − | 0.968829i | \(-0.420315\pi\) |
−0.269872 | + | 0.962896i | \(0.586981\pi\) | |||||||
\(374\) | −9.89081 | + | 10.6354i | −0.511442 | + | 0.549944i | ||||
\(375\) | −18.6109 | − | 9.36823i | −0.961061 | − | 0.483774i | ||||
\(376\) | −10.5264 | + | 23.9035i | −0.542858 | + | 1.23273i | ||||
\(377\) | 23.0557i | 1.18743i | ||||||||
\(378\) | 25.7917 | + | 16.8012i | 1.32658 | + | 0.864161i | ||||
\(379\) | −6.18132 | + | 6.18132i | −0.317513 | + | 0.317513i | −0.847811 | − | 0.530298i | \(-0.822080\pi\) |
0.530298 | + | 0.847811i | \(0.322080\pi\) | |||||||
\(380\) | 4.83709 | − | 0.351404i | 0.248138 | − | 0.0180266i | ||||
\(381\) | 2.77093 | − | 0.915351i | 0.141959 | − | 0.0468949i | ||||
\(382\) | −24.3113 | + | 0.881917i | −1.24387 | + | 0.0451228i | ||||
\(383\) | 6.46708 | + | 11.2013i | 0.330452 | + | 0.572360i | 0.982601 | − | 0.185731i | \(-0.0594654\pi\) |
−0.652148 | + | 0.758091i | \(0.726132\pi\) | |||||||
\(384\) | 17.4326 | + | 8.95014i | 0.889603 | + | 0.456735i | ||||
\(385\) | 16.6960 | − | 28.9183i | 0.850907 | − | 1.47381i | ||||
\(386\) | 12.1516 | − | 22.9287i | 0.618501 | − | 1.16704i | ||||
\(387\) | −25.8571 | − | 20.5227i | −1.31439 | − | 1.04323i | ||||
\(388\) | −12.7504 | − | 18.7933i | −0.647303 | − | 0.954085i | ||||
\(389\) | 7.08096 | + | 26.4265i | 0.359019 | + | 1.33988i | 0.875351 | + | 0.483489i | \(0.160631\pi\) |
−0.516331 | + | 0.856389i | \(0.672703\pi\) | |||||||
\(390\) | 12.9750 | − | 4.81456i | 0.657017 | − | 0.243795i | ||||
\(391\) | 0.869168 | − | 0.501814i | 0.0439557 | − | 0.0253778i | ||||
\(392\) | 17.6309 | + | 24.0608i | 0.890495 | + | 1.21525i | ||||
\(393\) | 0.755693 | + | 13.1842i | 0.0381197 | + | 0.665056i | ||||
\(394\) | −17.1627 | − | 3.93785i | −0.864642 | − | 0.198386i | ||||
\(395\) | −8.53468 | + | 8.53468i | −0.429426 | + | 0.429426i | ||||
\(396\) | −25.9250 | + | 12.4858i | −1.30278 | + | 0.627435i | ||||
\(397\) | 21.9741 | + | 21.9741i | 1.10285 | + | 1.10285i | 0.994066 | + | 0.108781i | \(0.0346948\pi\) |
0.108781 | + | 0.994066i | \(0.465305\pi\) | |||||||
\(398\) | −12.0163 | + | 7.53124i | −0.602322 | + | 0.377507i | ||||
\(399\) | −5.80799 | − | 8.84839i | −0.290763 | − | 0.442974i | ||||
\(400\) | 1.29330 | + | 8.85417i | 0.0646648 | + | 0.442709i | ||||
\(401\) | 13.4970 | + | 23.3775i | 0.674009 | + | 1.16742i | 0.976758 | + | 0.214347i | \(0.0687624\pi\) |
−0.302749 | + | 0.953070i | \(0.597904\pi\) | |||||||
\(402\) | 20.3190 | − | 14.4176i | 1.01342 | − | 0.719084i | ||||
\(403\) | −20.8849 | + | 5.59609i | −1.04035 | + | 0.278761i | ||||
\(404\) | −5.90120 | − | 1.13051i | −0.293596 | − | 0.0562448i | ||||
\(405\) | −7.90055 | + | 12.7036i | −0.392581 | + | 0.631248i | ||||
\(406\) | −11.8000 | − | 38.4099i | −0.585622 | − | 1.90625i | ||||
\(407\) | −4.27742 | − | 2.46957i | −0.212024 | − | 0.122412i | ||||
\(408\) | 9.54518 | − | 4.35264i | 0.472557 | − | 0.215488i | ||||
\(409\) | 11.1537 | − | 6.43957i | 0.551513 | − | 0.318416i | −0.198219 | − | 0.980158i | \(-0.563516\pi\) |
0.749732 | + | 0.661741i | \(0.230182\pi\) | |||||||
\(410\) | 5.01593 | + | 4.66475i | 0.247719 | + | 0.230376i | ||||
\(411\) | −16.1914 | − | 3.35883i | −0.798663 | − | 0.165679i | ||||
\(412\) | −0.208869 | − | 2.87510i | −0.0102903 | − | 0.141646i | ||||
\(413\) | −4.54399 | − | 4.54399i | −0.223595 | − | 0.223595i | ||||
\(414\) | 1.96586 | − | 0.298661i | 0.0966168 | − | 0.0146784i | ||||
\(415\) | 13.0638 | 0.641279 | ||||||||
\(416\) | −15.8249 | − | 10.9218i | −0.775877 | − | 0.535486i | ||||
\(417\) | 25.0063 | − | 1.43331i | 1.22457 | − | 0.0701896i | ||||
\(418\) | 9.88786 | − | 0.358693i | 0.483631 | − | 0.0175442i | ||||
\(419\) | −0.0545100 | + | 0.203434i | −0.00266299 | + | 0.00993841i | −0.967245 | − | 0.253846i | \(-0.918304\pi\) |
0.964582 | + | 0.263785i | \(0.0849709\pi\) | |||||||
\(420\) | −19.1518 | + | 14.6615i | −0.934514 | + | 0.715410i | ||||
\(421\) | 9.17194 | + | 34.2301i | 0.447013 | + | 1.66827i | 0.710567 | + | 0.703630i | \(0.248439\pi\) |
−0.263554 | + | 0.964645i | \(0.584895\pi\) | |||||||
\(422\) | 26.8825 | − | 8.25862i | 1.30862 | − | 0.402023i | ||||
\(423\) | 3.16535 | + | 27.5215i | 0.153905 | + | 1.33814i | ||||
\(424\) | 2.95276 | − | 3.67678i | 0.143399 | − | 0.178560i | ||||
\(425\) | 4.14862 | + | 2.39521i | 0.201238 | + | 0.116185i | ||||
\(426\) | −12.9374 | + | 15.6153i | −0.626819 | + | 0.756565i | ||||
\(427\) | 31.5511 | + | 8.45410i | 1.52687 | + | 0.409123i | ||||
\(428\) | 5.43487 | + | 15.6463i | 0.262704 | + | 0.756292i | ||||
\(429\) | 26.8096 | − | 8.85631i | 1.29438 | − | 0.427587i | ||||
\(430\) | 21.9180 | − | 13.7372i | 1.05698 | − | 0.662467i | ||||
\(431\) | 33.5339 | 1.61527 | 0.807635 | − | 0.589683i | \(-0.200747\pi\) | ||||
0.807635 | + | 0.589683i | \(0.200747\pi\) | |||||||
\(432\) | 20.7532 | − | 1.14273i | 0.998487 | − | 0.0549795i | ||||
\(433\) | −28.9691 | −1.39217 | −0.696083 | − | 0.717962i | \(-0.745075\pi\) | ||||
−0.696083 | + | 0.717962i | \(0.745075\pi\) | |||||||
\(434\) | 31.9293 | − | 20.0118i | 1.53266 | − | 0.960597i | ||||
\(435\) | 18.5430 | − | 6.12550i | 0.889067 | − | 0.293695i | ||||
\(436\) | 5.48390 | − | 1.90488i | 0.262631 | − | 0.0912272i | ||||
\(437\) | −0.660427 | − | 0.176961i | −0.0315925 | − | 0.00846519i | ||||
\(438\) | 12.7620 | − | 15.4036i | 0.609793 | − | 0.736015i | ||||
\(439\) | −14.6656 | − | 8.46718i | −0.699950 | − | 0.404116i | 0.107379 | − | 0.994218i | \(-0.465754\pi\) |
−0.807329 | + | 0.590102i | \(0.799088\pi\) | |||||||
\(440\) | −2.44788 | − | 22.4141i | −0.116698 | − | 1.06855i | ||||
\(441\) | 29.0278 | + | 12.5849i | 1.38227 | + | 0.599282i | ||||
\(442\) | −9.83987 | + | 3.02292i | −0.468035 | + | 0.143786i | ||||
\(443\) | 0.826654 | + | 3.08511i | 0.0392755 | + | 0.146578i | 0.982779 | − | 0.184784i | \(-0.0591585\pi\) |
−0.943504 | + | 0.331362i | \(0.892492\pi\) | |||||||
\(444\) | 2.16865 | + | 2.83282i | 0.102919 | + | 0.134440i | ||||
\(445\) | −4.81702 | + | 17.9773i | −0.228348 | + | 0.852208i | ||||
\(446\) | 19.6895 | − | 0.714257i | 0.932325 | − | 0.0338211i | ||||
\(447\) | 2.97621 | − | 0.170590i | 0.140770 | − | 0.00806863i | ||||
\(448\) | 31.9534 | + | 10.0961i | 1.50966 | + | 0.476998i | ||||
\(449\) | −41.9192 | −1.97829 | −0.989145 | − | 0.146944i | \(-0.953056\pi\) | ||||
−0.989145 | + | 0.146944i | \(0.953056\pi\) | |||||||
\(450\) | 5.92618 | + | 7.41336i | 0.279363 | + | 0.349469i | ||||
\(451\) | 9.88149 | + | 9.88149i | 0.465301 | + | 0.465301i | ||||
\(452\) | 16.4656 | − | 1.19619i | 0.774478 | − | 0.0562641i | ||||
\(453\) | −36.2427 | − | 7.51837i | −1.70283 | − | 0.353244i | ||||
\(454\) | 7.84896 | + | 7.29943i | 0.368370 | + | 0.342579i | ||||
\(455\) | 20.4959 | − | 11.8333i | 0.960862 | − | 0.554754i | ||||
\(456\) | −6.69484 | − | 2.50135i | −0.313514 | − | 0.117136i | ||||
\(457\) | 4.93980 | + | 2.85199i | 0.231074 | + | 0.133411i | 0.611067 | − | 0.791579i | \(-0.290740\pi\) |
−0.379993 | + | 0.924989i | \(0.624074\pi\) | |||||||
\(458\) | 7.93860 | + | 25.8409i | 0.370947 | + | 1.20746i | ||||
\(459\) | 6.40745 | − | 9.09712i | 0.299074 | − | 0.424617i | ||||
\(460\) | −0.293154 | + | 1.53025i | −0.0136684 | + | 0.0713484i | ||||
\(461\) | −38.3338 | + | 10.2715i | −1.78538 | + | 0.478392i | −0.991548 | − | 0.129743i | \(-0.958585\pi\) |
−0.793834 | + | 0.608135i | \(0.791918\pi\) | |||||||
\(462\) | −40.1312 | + | 28.4755i | −1.86707 | + | 1.32480i | ||||
\(463\) | −6.28293 | − | 10.8824i | −0.291992 | − | 0.505746i | 0.682288 | − | 0.731083i | \(-0.260985\pi\) |
−0.974281 | + | 0.225337i | \(0.927652\pi\) | |||||||
\(464\) | −21.7566 | − | 16.2109i | −1.01003 | − | 0.752570i | ||||
\(465\) | 10.0495 | + | 15.3103i | 0.466035 | + | 0.709997i | ||||
\(466\) | −12.8993 | + | 8.08471i | −0.597551 | + | 0.374517i | ||||
\(467\) | 12.1784 | + | 12.1784i | 0.563550 | + | 0.563550i | 0.930314 | − | 0.366764i | \(-0.119534\pi\) |
−0.366764 | + | 0.930314i | \(0.619534\pi\) | |||||||
\(468\) | −20.3373 | − | 1.52343i | −0.940092 | − | 0.0704204i | ||||
\(469\) | 30.1267 | − | 30.1267i | 1.39112 | − | 1.39112i | ||||
\(470\) | −21.1576 | − | 4.85447i | −0.975928 | − | 0.223920i | ||||
\(471\) | 1.05139 | + | 18.3431i | 0.0484455 | + | 0.845206i | ||||
\(472\) | −4.28846 | − | 0.661386i | −0.197393 | − | 0.0304428i | ||||
\(473\) | 45.7025 | − | 26.3864i | 2.10140 | − | 1.21325i | ||||
\(474\) | 16.6755 | − | 6.18766i | 0.765930 | − | 0.284208i | ||||
\(475\) | −0.844652 | − | 3.15228i | −0.0387553 | − | 0.144637i | ||||
\(476\) | 14.8457 | − | 10.0721i | 0.680452 | − | 0.461656i | ||||
\(477\) | 0.734036 | − | 4.94756i | 0.0336092 | − | 0.226533i | ||||
\(478\) | −14.7586 | + | 27.8478i | −0.675043 | + | 1.27373i | ||||
\(479\) | −10.6864 | + | 18.5094i | −0.488275 | + | 0.845717i | −0.999909 | − | 0.0134862i | \(-0.995707\pi\) |
0.511634 | + | 0.859204i | \(0.329040\pi\) | |||||||
\(480\) | −4.57969 | + | 15.6292i | −0.209033 | + | 0.713371i | ||||
\(481\) | −1.75031 | − | 3.03162i | −0.0798072 | − | 0.138230i | ||||
\(482\) | −38.8046 | + | 1.40768i | −1.76750 | + | 0.0641180i | ||||
\(483\) | 3.22874 | − | 1.06658i | 0.146913 | − | 0.0485313i | ||||
\(484\) | −1.73896 | − | 23.9368i | −0.0790435 | − | 1.08804i | ||||
\(485\) | 13.3465 | − | 13.3465i | 0.606033 | − | 0.606033i | ||||
\(486\) | 18.3876 | − | 12.1613i | 0.834078 | − | 0.551646i | ||||
\(487\) | − | 39.3716i | − | 1.78410i | −0.451939 | − | 0.892049i | \(-0.649268\pi\) | ||
0.451939 | − | 0.892049i | \(-0.350732\pi\) | |||||||
\(488\) | 20.5587 | − | 7.98769i | 0.930649 | − | 0.361586i | ||||
\(489\) | 7.60570 | + | 3.82851i | 0.343942 | + | 0.173131i | ||||
\(490\) | −16.8830 | + | 18.1540i | −0.762695 | + | 0.820113i | ||||
\(491\) | −33.8903 | − | 9.08087i | −1.52945 | − | 0.409814i | −0.606608 | − | 0.795001i | \(-0.707470\pi\) |
−0.922839 | + | 0.385187i | \(0.874137\pi\) | |||||||
\(492\) | −3.85233 | − | 9.33000i | −0.173676 | − | 0.420629i | ||||
\(493\) | −14.0303 | + | 3.75940i | −0.631891 | + | 0.169315i | ||||
\(494\) | 6.19624 | + | 3.28385i | 0.278782 | + | 0.147747i | ||||
\(495\) | −14.2457 | − | 19.2092i | −0.640297 | − | 0.863389i | ||||
\(496\) | 9.40375 | − | 23.6428i | 0.422241 | − | 1.06160i | ||||
\(497\) | −17.3388 | + | 30.0317i | −0.777752 | + | 1.34711i | ||||
\(498\) | −17.4981 | − | 8.02674i | −0.784106 | − | 0.359687i | ||||
\(499\) | 3.38889 | − | 12.6475i | 0.151708 | − | 0.566181i | −0.847657 | − | 0.530544i | \(-0.821988\pi\) |
0.999365 | − | 0.0356364i | \(-0.0113458\pi\) | |||||||
\(500\) | −22.7270 | + | 7.89441i | −1.01638 | + | 0.353049i | ||||
\(501\) | −0.369267 | + | 0.414172i | −0.0164976 | + | 0.0185039i | ||||
\(502\) | −22.2469 | − | 5.10440i | −0.992928 | − | 0.227820i | ||||
\(503\) | 2.93881i | 0.131035i | 0.997851 | + | 0.0655175i | \(0.0208698\pi\) | ||||
−0.997851 | + | 0.0655175i | \(0.979130\pi\) | |||||||
\(504\) | 34.6609 | − | 7.87071i | 1.54392 | − | 0.350589i | ||||
\(505\) | − | 4.99373i | − | 0.222218i | ||||||
\(506\) | −0.710860 | + | 3.09820i | −0.0316016 | + | 0.137732i | ||||
\(507\) | −2.45317 | − | 0.508897i | −0.108949 | − | 0.0226009i | ||||
\(508\) | 1.46896 | − | 3.03261i | 0.0651744 | − | 0.134550i | ||||
\(509\) | 4.11461 | − | 15.3559i | 0.182377 | − | 0.680640i | −0.812800 | − | 0.582543i | \(-0.802058\pi\) |
0.995177 | − | 0.0980972i | \(-0.0312756\pi\) | |||||||
\(510\) | 5.04553 | + | 7.11077i | 0.223420 | + | 0.314870i | ||||
\(511\) | 17.1038 | − | 29.6246i | 0.756627 | − | 1.31052i | ||||
\(512\) | 21.4332 | − | 7.25389i | 0.947222 | − | 0.320580i | ||||
\(513\) | −7.46884 | + | 1.29566i | −0.329757 | + | 0.0572048i | ||||
\(514\) | −1.23228 | + | 2.32517i | −0.0543535 | + | 0.102559i | ||||
\(515\) | 2.31418 | − | 0.620083i | 0.101975 | − | 0.0273241i | ||||
\(516\) | −37.7980 | + | 4.93299i | −1.66397 | + | 0.217163i | ||||
\(517\) | −42.7772 | − | 11.4621i | −1.88134 | − | 0.504103i | ||||
\(518\) | 4.46754 | + | 4.15476i | 0.196293 | + | 0.182550i | ||||
\(519\) | −17.5243 | + | 11.5027i | −0.769230 | + | 0.504914i | ||||
\(520\) | 6.44051 | − | 14.6252i | 0.282435 | − | 0.641356i | ||||
\(521\) | − | 19.2119i | − | 0.841689i | −0.907133 | − | 0.420844i | \(-0.861734\pi\) | ||
0.907133 | − | 0.420844i | \(-0.138266\pi\) | |||||||
\(522\) | −28.6006 | − | 3.18859i | −1.25181 | − | 0.139561i | ||||
\(523\) | −10.0495 | + | 10.0495i | −0.439436 | + | 0.439436i | −0.891822 | − | 0.452386i | \(-0.850573\pi\) |
0.452386 | + | 0.891822i | \(0.350573\pi\) | |||||||
\(524\) | 11.5355 | + | 9.97293i | 0.503929 | + | 0.435669i | ||||
\(525\) | 12.1144 | + | 10.8009i | 0.528716 | + | 0.471392i | ||||
\(526\) | −0.00245585 | − | 0.0676988i | −0.000107080 | − | 0.00295181i | ||||
\(527\) | −6.81087 | − | 11.7968i | −0.296686 | − | 0.513875i | ||||
\(528\) | −10.4930 | + | 31.5261i | −0.456650 | + | 1.37200i | ||||
\(529\) | −11.3902 | + | 19.7284i | −0.495225 | + | 0.857755i | ||||
\(530\) | 3.46296 | + | 1.83528i | 0.150422 | + | 0.0797196i | ||||
\(531\) | −4.28034 | + | 1.69133i | −0.185751 | + | 0.0733976i | ||||
\(532\) | −12.0034 | − | 2.29952i | −0.520413 | − | 0.0996967i | ||||
\(533\) | 2.56346 | + | 9.56697i | 0.111036 | + | 0.414392i | ||||
\(534\) | 17.4977 | − | 21.1196i | 0.757201 | − | 0.913936i | ||||
\(535\) | −11.9217 | + | 6.88297i | −0.515418 | + | 0.297577i | ||||
\(536\) | 4.38500 | − | 28.4326i | 0.189403 | − | 1.22810i | ||||
\(537\) | −40.8662 | − | 20.5710i | −1.76351 | − | 0.887705i | ||||
\(538\) | −6.51581 | + | 28.3984i | −0.280916 | + | 1.22434i | ||||
\(539\) | −35.7637 | + | 35.7637i | −1.54045 | + | 1.54045i | ||||
\(540\) | 4.17802 | + | 16.7614i | 0.179794 | + | 0.721296i | ||||
\(541\) | 15.3802 | + | 15.3802i | 0.661246 | + | 0.661246i | 0.955674 | − | 0.294428i | \(-0.0951290\pi\) |
−0.294428 | + | 0.955674i | \(0.595129\pi\) | |||||||
\(542\) | 11.8519 | + | 18.9101i | 0.509084 | + | 0.812257i | ||||
\(543\) | −4.52133 | + | 8.98205i | −0.194029 | + | 0.385457i | ||||
\(544\) | 4.06599 | − | 11.4109i | 0.174328 | − | 0.489239i | ||||
\(545\) | 2.41243 | + | 4.17844i | 0.103337 | + | 0.178985i | ||||
\(546\) | −34.7234 | + | 3.25667i | −1.48602 | + | 0.139373i | ||||
\(547\) | −23.1362 | + | 6.19933i | −0.989233 | + | 0.265064i | −0.716928 | − | 0.697147i | \(-0.754452\pi\) |
−0.272304 | + | 0.962211i | \(0.587786\pi\) | |||||||
\(548\) | −15.8009 | + | 10.7202i | −0.674981 | + | 0.457944i | ||||
\(549\) | 14.5435 | − | 18.3237i | 0.620702 | − | 0.782036i | ||||
\(550\) | −14.5033 | + | 4.45558i | −0.618423 | + | 0.189986i | ||||
\(551\) | 8.56961 | + | 4.94767i | 0.365078 | + | 0.210778i | ||||
\(552\) | 1.33288 | − | 1.86954i | 0.0567312 | − | 0.0795728i | ||||
\(553\) | 26.3412 | − | 15.2081i | 1.12014 | − | 0.646714i | ||||
\(554\) | −7.19265 | + | 7.73414i | −0.305587 | + | 0.328592i | ||||
\(555\) | −1.97321 | + | 2.21317i | −0.0837583 | + | 0.0939438i | ||||
\(556\) | 18.9155 | − | 21.8792i | 0.802197 | − | 0.927883i | ||||
\(557\) | 0.932077 | + | 0.932077i | 0.0394934 | + | 0.0394934i | 0.726578 | − | 0.687084i | \(-0.241110\pi\) |
−0.687084 | + | 0.726578i | \(0.741110\pi\) | |||||||
\(558\) | −4.05358 | − | 26.6816i | −0.171602 | − | 1.12952i | ||||
\(559\) | 37.4027 | 1.58197 | ||||||||
\(560\) | −3.24445 | + | 27.6613i | −0.137103 | + | 1.16890i | ||||
\(561\) | 9.76092 | + | 14.8706i | 0.412106 | + | 0.627838i | ||||
\(562\) | 0.345986 | + | 9.53759i | 0.0145945 | + | 0.402319i | ||||
\(563\) | −1.71390 | + | 6.39635i | −0.0722321 | + | 0.269574i | −0.992591 | − | 0.121500i | \(-0.961230\pi\) |
0.920359 | + | 0.391074i | \(0.127896\pi\) | |||||||
\(564\) | 25.3564 | + | 19.5019i | 1.06770 | + | 0.821180i | ||||
\(565\) | 3.55121 | + | 13.2533i | 0.149400 | + | 0.557570i | ||||
\(566\) | −5.34926 | − | 17.4123i | −0.224846 | − | 0.731893i | ||||
\(567\) | 27.5167 | − | 25.7695i | 1.15559 | − | 1.08222i | ||||
\(568\) | 2.54213 | + | 23.2771i | 0.106665 | + | 0.976685i | ||||
\(569\) | 7.84553 | + | 4.52962i | 0.328902 | + | 0.189892i | 0.655353 | − | 0.755322i | \(-0.272520\pi\) |
−0.326452 | + | 0.945214i | \(0.605853\pi\) | |||||||
\(570\) | 0.994864 | − | 5.85591i | 0.0416703 | − | 0.245277i | ||||
\(571\) | −17.9078 | − | 4.79838i | −0.749417 | − | 0.200806i | −0.136158 | − | 0.990687i | \(-0.543475\pi\) |
−0.613260 | + | 0.789881i | \(0.710142\pi\) | |||||||
\(572\) | 14.2126 | − | 29.3415i | 0.594259 | − | 1.22683i | ||||
\(573\) | −6.05192 | + | 29.1736i | −0.252823 | + | 1.21874i | ||||
\(574\) | −9.16703 | − | 14.6262i | −0.382625 | − | 0.610487i | ||||
\(575\) | 1.04844 | 0.0437230 | ||||||||
\(576\) | 15.7371 | − | 18.1203i | 0.655713 | − | 0.755011i | ||||
\(577\) | 43.3455 | 1.80450 | 0.902248 | − | 0.431217i | \(-0.141916\pi\) | ||||
0.902248 | + | 0.431217i | \(0.141916\pi\) | |||||||
\(578\) | 9.32368 | + | 14.8762i | 0.387814 | + | 0.618767i | ||||
\(579\) | −23.7223 | − | 21.1502i | −0.985863 | − | 0.878974i | ||||
\(580\) | 9.83019 | − | 20.2941i | 0.408177 | − | 0.842668i | ||||
\(581\) | −31.7993 | − | 8.52060i | −1.31926 | − | 0.353494i | ||||
\(582\) | −26.0770 | + | 9.67623i | −1.08093 | + | 0.401093i | ||||
\(583\) | 6.92456 | + | 3.99790i | 0.286786 | + | 0.165576i | ||||
\(584\) | −2.50767 | − | 22.9616i | −0.103768 | − | 0.950156i | ||||
\(585\) | −1.93670 | − | 16.8389i | −0.0800727 | − | 0.696201i | ||||
\(586\) | −5.96717 | − | 19.4236i | −0.246501 | − | 0.802383i | ||||
\(587\) | −6.81553 | − | 25.4359i | −0.281307 | − | 1.04985i | −0.951496 | − | 0.307662i | \(-0.900453\pi\) |
0.670189 | − | 0.742191i | \(-0.266213\pi\) | |||||||
\(588\) | 33.7677 | − | 13.9426i | 1.39256 | − | 0.574983i | ||||
\(589\) | −2.40180 | + | 8.96364i | −0.0989645 | + | 0.369341i | ||||
\(590\) | −0.130737 | − | 3.60395i | −0.00538236 | − | 0.148372i | ||||
\(591\) | −9.69660 | + | 19.2632i | −0.398865 | + | 0.792382i | ||||
\(592\) | 4.09148 | + | 0.479899i | 0.168159 | + | 0.0197237i | ||||
\(593\) | 41.9274 | 1.72175 | 0.860876 | − | 0.508814i | \(-0.169916\pi\) | ||||
0.860876 | + | 0.508814i | \(0.169916\pi\) | |||||||
\(594\) | 7.27849 | + | 34.4822i | 0.298640 | + | 1.41482i | ||||
\(595\) | 10.5430 | + | 10.5430i | 0.432222 | + | 0.432222i | ||||
\(596\) | 2.25129 | − | 2.60402i | 0.0922164 | − | 0.106665i | ||||
\(597\) | 5.44797 | + | 16.4920i | 0.222971 | + | 0.674972i | ||||
\(598\) | −1.53425 | + | 1.64975i | −0.0627401 | + | 0.0674634i | ||||
\(599\) | −21.1742 | + | 12.2249i | −0.865154 | + | 0.499497i | −0.865735 | − | 0.500503i | \(-0.833148\pi\) |
0.000580933 | 1.00000i | \(0.499815\pi\) | ||||||||
\(600\) | 10.9090 | + | 1.04789i | 0.445356 | + | 0.0427798i | ||||
\(601\) | 24.7521 | + | 14.2906i | 1.00966 | + | 0.582928i | 0.911092 | − | 0.412203i | \(-0.135240\pi\) |
0.0985682 | + | 0.995130i | \(0.468574\pi\) | |||||||
\(602\) | −62.3115 | + | 19.1428i | −2.53963 | + | 0.780202i | ||||
\(603\) | −11.2136 | − | 28.3787i | −0.456652 | − | 1.15567i | ||||
\(604\) | −35.3686 | + | 23.9960i | −1.43913 | + | 0.976383i | ||||
\(605\) | 19.2669 | − | 5.16255i | 0.783310 | − | 0.209887i | ||||
\(606\) | −3.06826 | + | 6.68872i | −0.124640 | + | 0.271711i | ||||
\(607\) | −9.32245 | − | 16.1470i | −0.378387 | − | 0.655385i | 0.612441 | − | 0.790516i | \(-0.290188\pi\) |
−0.990828 | + | 0.135131i | \(0.956854\pi\) | |||||||
\(608\) | −7.45551 | + | 3.53819i | −0.302361 | + | 0.143492i | ||||
\(609\) | −49.1315 | + | 2.81612i | −1.99091 | + | 0.114115i | ||||
\(610\) | 9.73492 | + | 15.5323i | 0.394155 | + | 0.628885i | ||||
\(611\) | −22.1946 | − | 22.1946i | −0.897896 | − | 0.897896i | ||||
\(612\) | −2.38908 | − | 12.6244i | −0.0965729 | − | 0.510312i | ||||
\(613\) | −13.3177 | + | 13.3177i | −0.537896 | + | 0.537896i | −0.922911 | − | 0.385014i | \(-0.874196\pi\) |
0.385014 | + | 0.922911i | \(0.374196\pi\) | |||||||
\(614\) | 5.47424 | − | 23.8588i | 0.220922 | − | 0.962864i | ||||
\(615\) | 7.01335 | − | 4.60349i | 0.282806 | − | 0.185631i | ||||
\(616\) | −8.66061 | + | 56.1559i | −0.348946 | + | 2.26258i | ||||
\(617\) | −15.1035 | + | 8.72003i | −0.608045 | + | 0.351055i | −0.772200 | − | 0.635379i | \(-0.780844\pi\) |
0.164155 | + | 0.986435i | \(0.447510\pi\) | |||||||
\(618\) | −3.48067 | − | 0.591333i | −0.140013 | − | 0.0237869i | ||||
\(619\) | 5.84959 | + | 21.8310i | 0.235115 | + | 0.877461i | 0.978097 | + | 0.208150i | \(0.0667441\pi\) |
−0.742982 | + | 0.669311i | \(0.766589\pi\) | |||||||
\(620\) | 20.7693 | + | 3.97883i | 0.834117 | + | 0.159794i | ||||
\(621\) | 0.218963 | − | 2.42544i | 0.00878667 | − | 0.0973297i | ||||
\(622\) | 1.07174 | + | 0.567995i | 0.0429729 | + | 0.0227745i | ||||
\(623\) | 23.4506 | − | 40.6177i | 0.939530 | − | 1.62731i | ||||
\(624\) | −17.6126 | + | 15.6321i | −0.705070 | + | 0.625786i | ||||
\(625\) | −4.40527 | − | 7.63015i | −0.176211 | − | 0.305206i | ||||
\(626\) | 0.941180 | + | 25.9449i | 0.0376171 | + | 1.03697i | ||||
\(627\) | 2.46143 | − | 11.8655i | 0.0983001 | − | 0.473861i | ||||
\(628\) | 16.0492 | + | 13.8753i | 0.640433 | + | 0.553683i | ||||
\(629\) | 1.55946 | − | 1.55946i | 0.0621797 | − | 0.0621797i | ||||
\(630\) | 11.8446 | + | 27.0617i | 0.471902 | + | 1.07816i | ||||
\(631\) | 19.8510i | 0.790254i | 0.918627 | + | 0.395127i | \(0.129299\pi\) | ||||
−0.918627 | + | 0.395127i | \(0.870701\pi\) | |||||||
\(632\) | 8.27732 | − | 18.7962i | 0.329254 | − | 0.747673i | ||||
\(633\) | −1.97096 | − | 34.3865i | −0.0783387 | − | 1.36674i | ||||
\(634\) | 4.31682 | + | 4.01459i | 0.171443 | + | 0.159440i | ||||
\(635\) | 2.70512 | + | 0.724836i | 0.107350 | + | 0.0287642i | ||||
\(636\) | −3.51074 | − | 4.58595i | −0.139210 | − | 0.181845i | ||||
\(637\) | −34.6254 | + | 9.27785i | −1.37191 | + | 0.367602i | ||||
\(638\) | 21.5428 | − | 40.6487i | 0.852886 | − | 1.60930i | ||||
\(639\) | 14.7942 | + | 19.9488i | 0.585249 | + | 0.789161i | ||||
\(640\) | 9.27269 | + | 16.3608i | 0.366535 | + | 0.646719i | ||||
\(641\) | 20.5842 | − | 35.6529i | 0.813026 | − | 1.40820i | −0.0977099 | − | 0.995215i | \(-0.531152\pi\) |
0.910736 | − | 0.412988i | \(-0.135515\pi\) | |||||||
\(642\) | 20.1972 | − | 1.89428i | 0.797121 | − | 0.0747612i | ||||
\(643\) | 6.73128 | − | 25.1215i | 0.265456 | − | 0.990694i | −0.696515 | − | 0.717542i | \(-0.745267\pi\) |
0.961971 | − | 0.273152i | \(-0.0880662\pi\) | |||||||
\(644\) | 1.71165 | − | 3.53366i | 0.0674486 | − | 0.139246i | ||||
\(645\) | −9.93726 | − | 30.0818i | −0.391279 | − | 1.18447i | ||||
\(646\) | −0.988006 | + | 4.30611i | −0.0388726 | + | 0.169422i | ||||
\(647\) | − | 40.3426i | − | 1.58603i | −0.609201 | − | 0.793016i | \(-0.708510\pi\) | ||
0.609201 | − | 0.793016i | \(-0.291490\pi\) | |||||||
\(648\) | 4.70245 | − | 25.0177i | 0.184730 | − | 0.982789i | ||||
\(649\) | − | 7.35741i | − | 0.288803i | ||||||
\(650\) | −10.4810 | − | 2.40479i | −0.411099 | − | 0.0943238i | ||||
\(651\) | −14.4762 | − | 43.8220i | −0.567367 | − | 1.71752i | ||||
\(652\) | 9.28783 | − | 3.22621i | 0.363740 | − | 0.126348i | ||||
\(653\) | 1.68547 | − | 6.29024i | 0.0659574 | − | 0.246156i | −0.925074 | − | 0.379787i | \(-0.875997\pi\) |
0.991031 | + | 0.133631i | \(0.0426638\pi\) | |||||||
\(654\) | −0.663929 | − | 7.07897i | −0.0259617 | − | 0.276809i | ||||
\(655\) | −6.33671 | + | 10.9755i | −0.247596 | + | 0.428849i | ||||
\(656\) | −10.8303 | − | 4.30768i | −0.422854 | − | 0.168187i | ||||
\(657\) | −14.5937 | − | 19.6784i | −0.569353 | − | 0.767726i | ||||
\(658\) | 48.3345 | + | 25.6161i | 1.88428 | + | 0.998618i | ||||
\(659\) | 0.0887093 | − | 0.0237696i | 0.00345562 | − | 0.000925932i | −0.257091 | − | 0.966387i | \(-0.582764\pi\) |
0.260546 | + | 0.965461i | \(0.416097\pi\) | |||||||
\(660\) | −27.3745 | − | 3.63523i | −1.06555 | − | 0.141501i | ||||
\(661\) | 27.0157 | + | 7.23883i | 1.05079 | + | 0.281558i | 0.742578 | − | 0.669760i | \(-0.233603\pi\) |
0.308211 | + | 0.951318i | \(0.400270\pi\) | |||||||
\(662\) | 4.97638 | − | 5.35102i | 0.193413 | − | 0.207973i | ||||
\(663\) | 0.721435 | + | 12.5865i | 0.0280182 | + | 0.488821i | ||||
\(664\) | −20.7204 | + | 8.05052i | −0.804109 | + | 0.312421i | ||||
\(665\) | − | 10.1575i | − | 0.393892i | ||||||
\(666\) | 4.00280 | − | 1.75199i | 0.155105 | − | 0.0678881i | ||||
\(667\) | −2.24790 | + | 2.24790i | −0.0870392 | + | 0.0870392i | ||||
\(668\) | 0.0464249 | + | 0.639041i | 0.00179623 | + | 0.0247253i | ||||
\(669\) | 4.90140 | − | 23.6274i | 0.189499 | − | 0.913490i | ||||
\(670\) | 23.8942 | − | 0.866788i | 0.923114 | − | 0.0334870i | ||||
\(671\) | 18.6988 | + | 32.3873i | 0.721859 | + | 1.25030i | ||||
\(672\) | 21.3414 | − | 35.0567i | 0.823264 | − | 1.35234i | ||||
\(673\) | 2.48158 | − | 4.29822i | 0.0956578 | − | 0.165684i | −0.814225 | − | 0.580549i | \(-0.802838\pi\) |
0.909883 | + | 0.414865i | \(0.136171\pi\) | |||||||
\(674\) | 2.57959 | − | 4.86739i | 0.0993622 | − | 0.187485i | ||||
\(675\) | 10.5484 | − | 4.88333i | 0.406009 | − | 0.187959i | ||||
\(676\) | −2.39400 | + | 1.62422i | −0.0920769 | + | 0.0624700i | ||||
\(677\) | 1.77876 | + | 6.63841i | 0.0683632 | + | 0.255135i | 0.991647 | − | 0.128985i | \(-0.0411718\pi\) |
−0.923283 | + | 0.384119i | \(0.874505\pi\) | |||||||
\(678\) | 3.38655 | − | 19.9337i | 0.130060 | − | 0.765550i | ||||
\(679\) | −41.1923 | + | 23.7824i | −1.58081 | + | 0.912683i | ||||
\(680\) | 9.95015 | + | 1.53456i | 0.381571 | + | 0.0588476i | ||||
\(681\) | 10.9745 | − | 7.20357i | 0.420545 | − | 0.276041i | ||||
\(682\) | 42.0503 | + | 9.64814i | 1.61019 | + | 0.369447i | ||||
\(683\) | 20.7192 | − | 20.7192i | 0.792797 | − | 0.792797i | −0.189151 | − | 0.981948i | \(-0.560574\pi\) |
0.981948 | + | 0.189151i | \(0.0605737\pi\) | |||||||
\(684\) | −4.93056 | + | 7.23229i | −0.188525 | + | 0.276533i | ||||
\(685\) | −11.2214 | − | 11.2214i | −0.428747 | − | 0.428747i | ||||
\(686\) | 17.7998 | − | 11.1561i | 0.679601 | − | 0.425942i | ||||
\(687\) | 33.0540 | − | 1.89459i | 1.26109 | − | 0.0722831i | ||||
\(688\) | −26.2985 | + | 35.2953i | −1.00262 | + | 1.34562i | ||||
\(689\) | 2.83351 | + | 4.90779i | 0.107948 | + | 0.186972i | ||||
\(690\) | 1.73447 | + | 0.795638i | 0.0660301 | + | 0.0302894i | ||||
\(691\) | −5.31450 | + | 1.42402i | −0.202173 | + | 0.0541721i | −0.358484 | − | 0.933536i | \(-0.616706\pi\) |
0.156311 | + | 0.987708i | \(0.450040\pi\) | |||||||
\(692\) | −4.55420 | + | 23.7727i | −0.173125 | + | 0.903704i | ||||
\(693\) | 22.1474 | + | 56.0494i | 0.841310 | + | 2.12914i | ||||
\(694\) | 1.31056 | + | 4.26598i | 0.0497481 | + | 0.161934i | ||||
\(695\) | 20.8171 | + | 12.0188i | 0.789638 | + | 0.455898i | ||||
\(696\) | −25.6360 | + | 21.1426i | −0.971731 | + | 0.801407i | ||||
\(697\) | −5.40388 | + | 3.11993i | −0.204687 | + | 0.118176i | ||||
\(698\) | −1.49983 | − | 1.39483i | −0.0567695 | − | 0.0527949i | ||||
\(699\) | 5.84834 | + | 17.7040i | 0.221205 | + | 0.669626i | ||||
\(700\) | 18.6918 | − | 1.35791i | 0.706482 | − | 0.0513243i | ||||
\(701\) | −1.06232 | − | 1.06232i | −0.0401233 | − | 0.0401233i | 0.686760 | − | 0.726884i | \(-0.259032\pi\) |
−0.726884 | + | 0.686760i | \(0.759032\pi\) | |||||||
\(702\) | −7.75213 | + | 23.7443i | −0.292585 | + | 0.896173i | ||||
\(703\) | −1.50244 | −0.0566656 | ||||||||
\(704\) | 17.6951 | + | 34.0423i | 0.666910 | + | 1.28302i | ||||
\(705\) | −11.9537 | + | 23.7471i | −0.450202 | + | 0.894368i | ||||
\(706\) | −21.8746 | + | 0.793524i | −0.823261 | + | 0.0298647i | ||||
\(707\) | −3.25705 | + | 12.1555i | −0.122494 | + | 0.457153i | ||||
\(708\) | −2.03924 | + | 4.90755i | −0.0766393 | + | 0.184437i | ||||
\(709\) | −9.50159 | − | 35.4604i | −0.356840 | − | 1.33174i | −0.878153 | − | 0.478379i | \(-0.841224\pi\) |
0.521314 | − | 0.853365i | \(-0.325442\pi\) | |||||||
\(710\) | −18.6028 | + | 5.71498i | −0.698149 | + | 0.214479i | ||||
\(711\) | −2.48904 | − | 21.6412i | −0.0933463 | − | 0.811609i | ||||
\(712\) | −3.43821 | − | 31.4821i | −0.128853 | − | 1.17984i | ||||
\(713\) | −2.58187 | − | 1.49064i | −0.0966916 | − | 0.0558249i | ||||
\(714\) | −7.64371 | − | 20.5995i | −0.286059 | − | 0.770916i | ||||
\(715\) | 26.1729 | + | 7.01301i | 0.978812 | + | 0.262272i | ||||
\(716\) | −49.9045 | + | 17.3348i | −1.86502 | + | 0.647830i | ||||
\(717\) | 28.8116 | + | 25.6878i | 1.07599 | + | 0.959328i | ||||
\(718\) | −5.73718 | + | 3.59580i | −0.214110 | + | 0.134194i | ||||
\(719\) | −7.37513 | −0.275046 | −0.137523 | − | 0.990499i | \(-0.543914\pi\) | ||||
−0.137523 | + | 0.990499i | \(0.543914\pi\) | |||||||
\(720\) | 17.2518 | + | 10.0121i | 0.642937 | + | 0.373130i | ||||
\(721\) | −6.03749 | −0.224848 | ||||||||
\(722\) | −20.2175 | + | 12.6714i | −0.752419 | + | 0.471581i | ||||
\(723\) | −9.65981 | + | 46.5656i | −0.359252 | + | 1.73179i | ||||
\(724\) | 3.81003 | + | 10.9686i | 0.141599 | + | 0.407644i | ||||
\(725\) | −14.6567 | − | 3.92726i | −0.544337 | − | 0.145855i | ||||
\(726\) | −28.9785 | − | 4.92319i | −1.07549 | − | 0.182717i | ||||
\(727\) | 5.80127 | + | 3.34936i | 0.215157 | + | 0.124221i | 0.603706 | − | 0.797207i | \(-0.293690\pi\) |
−0.388549 | + | 0.921428i | \(0.627023\pi\) | |||||||
\(728\) | −25.2161 | + | 31.3991i | −0.934571 | + | 1.16373i | ||||
\(729\) | −9.09400 | − | 25.4224i | −0.336815 | − | 0.941571i | ||||
\(730\) | 18.3506 | − | 5.63751i | 0.679186 | − | 0.208654i | ||||
\(731\) | 6.09879 | + | 22.7610i | 0.225572 | + | 0.841846i | ||||
\(732\) | −3.49578 | − | 26.7857i | −0.129208 | − | 0.990029i | ||||
\(733\) | −9.28281 | + | 34.6439i | −0.342868 | + | 1.27960i | 0.552214 | + | 0.833702i | \(0.313783\pi\) |
−0.895083 | + | 0.445900i | \(0.852884\pi\) | |||||||
\(734\) | 28.0906 | − | 1.01902i | 1.03684 | − | 0.0376126i | ||||
\(735\) | 16.6613 | + | 25.3832i | 0.614560 | + | 0.936272i | ||||
\(736\) | −0.478040 | − | 2.60777i | −0.0176208 | − | 0.0961238i | ||||
\(737\) | 48.7797 | 1.79682 | ||||||||
\(738\) | −12.2224 | + | 1.85687i | −0.449911 | + | 0.0683522i | ||||
\(739\) | 4.01107 | + | 4.01107i | 0.147549 | + | 0.147549i | 0.777022 | − | 0.629473i | \(-0.216729\pi\) |
−0.629473 | + | 0.777022i | \(0.716729\pi\) | |||||||
\(740\) | 0.248076 | + | 3.41478i | 0.00911945 | + | 0.125530i | ||||
\(741\) | 5.71564 | − | 6.41070i | 0.209969 | − | 0.235503i | ||||
\(742\) | −7.23234 | − | 6.72599i | −0.265508 | − | 0.246919i | ||||
\(743\) | 19.1551 | − | 11.0592i | 0.702734 | − | 0.405724i | −0.105631 | − | 0.994405i | \(-0.533686\pi\) |
0.808365 | + | 0.588682i | \(0.200353\pi\) | |||||||
\(744\) | −25.3743 | − | 18.0905i | −0.930267 | − | 0.663231i | ||||
\(745\) | 2.47761 | + | 1.43045i | 0.0907726 | + | 0.0524076i | ||||
\(746\) | 0.183846 | + | 0.598434i | 0.00673107 | + | 0.0219102i | ||||
\(747\) | −14.6579 | + | 18.4678i | −0.536305 | + | 0.675703i | ||||
\(748\) | 20.1729 | + | 3.86457i | 0.737594 | + | 0.141303i | ||||
\(749\) | 33.5083 | − | 8.97853i | 1.22437 | − | 0.328068i | ||||
\(750\) | 2.75153 | + | 29.3374i | 0.100472 | + | 1.07125i | ||||
\(751\) | −6.05672 | − | 10.4905i | −0.221013 | − | 0.382805i | 0.734103 | − | 0.679038i | \(-0.237603\pi\) |
−0.955116 | + | 0.296233i | \(0.904270\pi\) | |||||||
\(752\) | 36.5494 | − | 5.33864i | 1.33282 | − | 0.194680i | ||||
\(753\) | −12.5691 | + | 24.9697i | −0.458044 | + | 0.909947i | ||||
\(754\) | 27.6278 | − | 17.3158i | 1.00614 | − | 0.630603i | ||||
\(755\) | −25.1178 | − | 25.1178i | −0.914131 | − | 0.914131i | ||||
\(756\) | 0.762331 | − | 43.5247i | 0.0277257 | − | 1.58298i | ||||
\(757\) | −19.9365 | + | 19.9365i | −0.724604 | + | 0.724604i | −0.969539 | − | 0.244935i | \(-0.921233\pi\) |
0.244935 | + | 0.969539i | \(0.421233\pi\) | |||||||
\(758\) | 12.0495 | + | 2.76468i | 0.437659 | + | 0.100418i | ||||
\(759\) | 3.47739 | + | 1.75043i | 0.126221 | + | 0.0635366i | ||||
\(760\) | −4.05395 | − | 5.53240i | −0.147052 | − | 0.200681i | ||||
\(761\) | −37.1681 | + | 21.4590i | −1.34734 | + | 0.777889i | −0.987873 | − | 0.155267i | \(-0.950376\pi\) |
−0.359471 | + | 0.933156i | \(0.617043\pi\) | |||||||
\(762\) | −3.17796 | − | 2.63296i | −0.115125 | − | 0.0953819i | ||||
\(763\) | −3.14690 | − | 11.7444i | −0.113925 | − | 0.425176i | ||||
\(764\) | 19.3156 | + | 28.4700i | 0.698814 | + | 1.03001i | ||||
\(765\) | 9.93130 | − | 3.92426i | 0.359067 | − | 0.141882i | ||||
\(766\) | 8.56555 | − | 16.1622i | 0.309486 | − | 0.583964i | ||||
\(767\) | 2.60728 | − | 4.51595i | 0.0941435 | − | 0.163061i | ||||
\(768\) | −2.36759 | − | 27.6115i | −0.0854329 | − | 0.996344i | ||||
\(769\) | −13.7618 | − | 23.8361i | −0.496263 | − | 0.859553i | 0.503728 | − | 0.863863i | \(-0.331962\pi\) |
−0.999991 | + | 0.00430961i | \(0.998628\pi\) | |||||||
\(770\) | −47.1924 | + | 1.71195i | −1.70070 | + | 0.0616945i | ||||
\(771\) | 2.40564 | + | 2.14482i | 0.0866371 | + | 0.0772438i | ||||
\(772\) | −36.6019 | + | 2.65905i | −1.31733 | + | 0.0957011i | ||||
\(773\) | −11.4688 | + | 11.4688i | −0.412504 | + | 0.412504i | −0.882610 | − | 0.470106i | \(-0.844216\pi\) |
0.470106 | + | 0.882610i | \(0.344216\pi\) | |||||||
\(774\) | −5.17279 | + | 46.3981i | −0.185932 | + | 1.66774i | ||||
\(775\) | − | 14.2300i | − | 0.511155i | ||||||
\(776\) | −12.9440 | + | 29.3934i | −0.464664 | + | 1.05516i | ||||
\(777\) | 6.24658 | − | 4.10019i | 0.224095 | − | 0.147094i | ||||
\(778\) | 26.3489 | − | 28.3326i | 0.944655 | − | 1.01577i | ||||
\(779\) | 4.10608 | + | 1.10022i | 0.147115 | + | 0.0394195i | ||||
\(780\) | −15.5141 | − | 11.9321i | −0.555495 | − | 0.427239i | ||||
\(781\) | −38.3500 | + | 10.2759i | −1.37227 | + | 0.367699i | ||||
\(782\) | −1.25411 | − | 0.664645i | −0.0448468 | − | 0.0237677i | ||||
\(783\) | −12.1462 | + | 33.0864i | −0.434071 | + | 1.18241i | ||||
\(784\) | 15.5906 | − | 39.1979i | 0.556808 | − | 1.39992i | ||||
\(785\) | −8.81622 | + | 15.2701i | −0.314664 | + | 0.545015i | ||||
\(786\) | 15.2312 | − | 10.8074i | 0.543278 | − | 0.385489i | ||||
\(787\) | 11.4753 | − | 42.8263i | 0.409049 | − | 1.52659i | −0.387414 | − | 0.921906i | \(-0.626632\pi\) |
0.796463 | − | 0.604687i | \(-0.206702\pi\) | |||||||
\(788\) | 8.17112 | + | 23.5236i | 0.291084 | + | 0.837993i | ||||
\(789\) | −0.0812387 | − | 0.0168526i | −0.00289217 | − | 0.000599968i | ||||
\(790\) | 16.6370 | + | 3.81725i | 0.591920 | + | 0.135812i | ||||
\(791\) | − | 34.5766i | − | 1.22940i | ||||||
\(792\) | 34.4325 | + | 21.6887i | 1.22351 | + | 0.770673i | ||||
\(793\) | 26.5056i | 0.941241i | ||||||||
\(794\) | 9.82821 | − | 42.8351i | 0.348790 | − | 1.52016i | ||||
\(795\) | 3.19437 | − | 3.58282i | 0.113292 | − | 0.127070i | ||||
\(796\) | 18.0495 | + | 8.74290i | 0.639746 | + | 0.309884i | ||||
\(797\) | 7.68647 | − | 28.6863i | 0.272269 | − | 1.01612i | −0.685381 | − | 0.728185i | \(-0.740364\pi\) |
0.957650 | − | 0.287936i | \(-0.0929690\pi\) | |||||||
\(798\) | −6.24103 | + | 13.6053i | −0.220930 | + | 0.481621i | ||||
\(799\) | 9.88726 | − | 17.1252i | 0.349786 | − | 0.605847i | ||||
\(800\) | 9.63868 | − | 8.19961i | 0.340779 | − | 0.289900i | ||||
\(801\) | −20.0091 | − | 26.9806i | −0.706985 | − | 0.953312i | ||||
\(802\) | 17.8766 | − | 33.7310i | 0.631244 | − | 1.19108i | ||||
\(803\) | 37.8302 | − | 10.1366i | 1.33500 | − | 0.357712i | ||||
\(804\) | −32.5371 | − | 13.5202i | −1.14750 | − | 0.476820i | ||||
\(805\) | 3.15206 | + | 0.844592i | 0.111096 | + | 0.0297679i | ||||
\(806\) | 22.3912 | + | 20.8236i | 0.788698 | + | 0.733479i | ||||
\(807\) | 31.8741 | + | 16.0446i | 1.12202 | + | 0.564796i | ||||
\(808\) | 3.07735 | + | 7.92049i | 0.108261 | + | 0.278642i | ||||
\(809\) | 16.7474i | 0.588806i | 0.955681 | + | 0.294403i | \(0.0951209\pi\) | ||||
−0.955681 | + | 0.294403i | \(0.904879\pi\) | |||||||
\(810\) | 21.1565 | − | 0.0736689i | 0.743362 | − | 0.00258846i | ||||
\(811\) | −7.60619 | + | 7.60619i | −0.267090 | + | 0.267090i | −0.827926 | − | 0.560837i | \(-0.810480\pi\) |
0.560837 | + | 0.827926i | \(0.310480\pi\) | |||||||
\(812\) | −37.1645 | + | 42.9874i | −1.30422 | + | 1.50856i | ||||
\(813\) | 25.9535 | − | 8.57349i | 0.910229 | − | 0.300685i | ||||
\(814\) | 0.253222 | + | 6.98041i | 0.00887541 | + | 0.244663i | ||||
\(815\) | 4.08582 | + | 7.07684i | 0.143120 | + | 0.247891i | ||||
\(816\) | −12.3846 | − | 8.16904i | −0.433548 | − | 0.285973i | ||||
\(817\) | 8.02649 | − | 13.9023i | 0.280811 | − | 0.486379i | ||||
\(818\) | −16.0934 | − | 8.52912i | −0.562694 | − | 0.298214i | ||||
\(819\) | −6.26855 | + | 42.2514i | −0.219041 | + | 1.47638i | ||||
\(820\) | 1.82263 | − | 9.51404i | 0.0636489 | − | 0.332245i | ||||
\(821\) | −9.99074 | − | 37.2860i | −0.348679 | − | 1.30129i | −0.888255 | − | 0.459351i | \(-0.848082\pi\) |
0.539575 | − | 0.841937i | \(-0.318585\pi\) | |||||||
\(822\) | 8.13552 | + | 21.9249i | 0.283759 | + | 0.764718i | ||||
\(823\) | −23.9783 | + | 13.8439i | −0.835831 | + | 0.482567i | −0.855845 | − | 0.517233i | \(-0.826962\pi\) |
0.0200141 | + | 0.999800i | \(0.493629\pi\) | |||||||
\(824\) | −3.28838 | + | 2.40961i | −0.114556 | + | 0.0839427i | ||||
\(825\) | 1.06335 | + | 18.5517i | 0.0370210 | + | 0.645888i | ||||
\(826\) | −2.03236 | + | 8.85781i | −0.0707149 | + | 0.308203i | ||||
\(827\) | −27.6025 | + | 27.6025i | −0.959833 | + | 0.959833i | −0.999224 | − | 0.0393907i | \(-0.987458\pi\) |
0.0393907 | + | 0.999224i | \(0.487458\pi\) | |||||||
\(828\) | −1.83433 | − | 2.13140i | −0.0637474 | − | 0.0740711i | ||||
\(829\) | 14.8542 | + | 14.8542i | 0.515908 | + | 0.515908i | 0.916330 | − | 0.400423i | \(-0.131137\pi\) |
−0.400423 | + | 0.916330i | \(0.631137\pi\) | |||||||
\(830\) | −9.81150 | − | 15.6545i | −0.340562 | − | 0.543375i | ||||
\(831\) | 7.09819 | + | 10.8140i | 0.246234 | + | 0.375133i | ||||
\(832\) | −1.20256 | + | 27.1658i | −0.0416911 | + | 0.941803i | ||||
\(833\) | −11.2919 | − | 19.5581i | −0.391240 | − | 0.677647i | ||||
\(834\) | −20.4983 | − | 28.8888i | −0.709800 | − | 1.00034i | ||||
\(835\) | −0.514368 | + | 0.137824i | −0.0178004 | + | 0.00476961i | ||||
\(836\) | −7.85602 | − | 11.5793i | −0.271706 | − | 0.400478i | ||||
\(837\) | −32.9193 | − | 2.97187i | −1.13786 | − | 0.102723i | ||||
\(838\) | 0.284716 | − | 0.0874679i | 0.00983534 | − | 0.00302153i | ||||
\(839\) | −44.0413 | − | 25.4272i | −1.52047 | − | 0.877846i | −0.999708 | − | 0.0241463i | \(-0.992313\pi\) |
−0.520766 | − | 0.853700i | \(-0.674353\pi\) | |||||||
\(840\) | 31.9528 | + | 11.9383i | 1.10248 | + | 0.411911i | ||||
\(841\) | 14.7301 | − | 8.50445i | 0.507936 | − | 0.293257i | ||||
\(842\) | 34.1297 | − | 36.6990i | 1.17619 | − | 1.26473i | ||||
\(843\) | 11.4451 | + | 2.37424i | 0.394191 | + | 0.0817731i | ||||
\(844\) | −30.0863 | − | 26.0109i | −1.03561 | − | 0.895333i | ||||
\(845\) | −1.70015 | − | 1.70015i | −0.0584871 | − | 0.0584871i | ||||
\(846\) | 30.6019 | − | 24.4629i | 1.05211 | − | 0.841051i | ||||
\(847\) | −50.2656 | −1.72715 | ||||||||
\(848\) | −6.62355 | − | 0.776891i | −0.227454 | − | 0.0266786i | ||||
\(849\) | −22.2727 | + | 1.27663i | −0.764398 | + | 0.0438137i | ||||
\(850\) | −0.245597 | − | 6.77022i | −0.00842390 | − | 0.232217i | ||||
\(851\) | 0.124927 | − | 0.466233i | 0.00428244 | − | 0.0159823i | ||||
\(852\) | 28.4284 | + | 3.77519i | 0.973942 | + | 0.129336i | ||||
\(853\) | 3.65390 | + | 13.6365i | 0.125107 | + | 0.466906i | 0.999843 | − | 0.0176931i | \(-0.00563219\pi\) |
−0.874736 | + | 0.484599i | \(0.838966\pi\) | |||||||
\(854\) | −13.5656 | − | 44.1573i | −0.464206 | − | 1.51103i | ||||
\(855\) | −6.67448 | − | 2.89370i | −0.228262 | − | 0.0989625i | ||||
\(856\) | 14.6672 | − | 18.2637i | 0.501315 | − | 0.624239i | ||||
\(857\) | 14.7618 | + | 8.52275i | 0.504255 | + | 0.291132i | 0.730469 | − | 0.682946i | \(-0.239302\pi\) |
−0.226214 | + | 0.974078i | \(0.572635\pi\) | |||||||
\(858\) | −30.7477 | − | 25.4747i | −1.04971 | − | 0.869691i | ||||
\(859\) | 24.9255 | + | 6.67877i | 0.850448 | + | 0.227877i | 0.657614 | − | 0.753355i | \(-0.271566\pi\) |
0.192833 | + | 0.981232i | \(0.438232\pi\) | |||||||
\(860\) | −32.9227 | − | 15.9473i | −1.12266 | − | 0.543798i | ||||
\(861\) | −20.0741 | + | 6.63128i | −0.684122 | + | 0.225993i | ||||
\(862\) | −25.1853 | − | 40.1838i | −0.857816 | − | 1.36867i | ||||
\(863\) | −18.8217 | −0.640698 | −0.320349 | − | 0.947300i | \(-0.603800\pi\) | ||||
−0.320349 | + | 0.947300i | \(0.603800\pi\) | |||||||
\(864\) | −16.9558 | − | 24.0104i | −0.576849 | − | 0.816851i | ||||
\(865\) | −20.1170 | −0.683999 | ||||||||
\(866\) | 21.7570 | + | 34.7138i | 0.739333 | + | 1.17962i | ||||
\(867\) | 20.4171 | − | 6.74459i | 0.693401 | − | 0.229058i | ||||
\(868\) | −47.9605 | − | 23.2314i | −1.62789 | − | 0.788525i | ||||
\(869\) | 33.6373 | + | 9.01309i | 1.14107 | + | 0.305748i | ||||
\(870\) | −21.2668 | − | 17.6196i | −0.721011 | − | 0.597362i | ||||
\(871\) | 29.9408 | + | 17.2863i | 1.01450 | + | 0.585725i | ||||
\(872\) | −6.40126 | − | 5.14074i | −0.216774 | − | 0.174088i | ||||
\(873\) | 3.89235 | + | 33.8424i | 0.131736 | + | 1.14539i | ||||
\(874\) | 0.283955 | + | 0.924299i | 0.00960492 | + | 0.0312649i | ||||
\(875\) | 13.0417 | + | 48.6724i | 0.440891 | + | 1.64543i | ||||
\(876\) | −28.0431 | − | 3.72402i | −0.947488 | − | 0.125823i | ||||
\(877\) | 2.80014 | − | 10.4503i | 0.0945540 | − | 0.352880i | −0.902397 | − | 0.430905i | \(-0.858195\pi\) |
0.996951 | + | 0.0780244i | \(0.0248612\pi\) | |||||||
\(878\) | 0.868197 | + | 23.9330i | 0.0293002 | + | 0.807701i | ||||
\(879\) | −24.8455 | + | 1.42409i | −0.838018 | + | 0.0480335i | ||||
\(880\) | −25.0205 | + | 19.7673i | −0.843441 | + | 0.666354i | ||||
\(881\) | 40.1658 | 1.35322 | 0.676610 | − | 0.736342i | \(-0.263448\pi\) | ||||
0.676610 | + | 0.736342i | \(0.263448\pi\) | |||||||
\(882\) | −6.72049 | − | 44.2359i | −0.226291 | − | 1.48950i | ||||
\(883\) | −16.5617 | − | 16.5617i | −0.557346 | − | 0.557346i | 0.371205 | − | 0.928551i | \(-0.378945\pi\) |
−0.928551 | + | 0.371205i | \(0.878945\pi\) | |||||||
\(884\) | 11.0125 | + | 9.52083i | 0.370392 | + | 0.320220i | ||||
\(885\) | −4.32475 | − | 0.897148i | −0.145375 | − | 0.0301573i | ||||
\(886\) | 3.07606 | − | 3.30763i | 0.103342 | − | 0.111122i | ||||
\(887\) | −13.1259 | + | 7.57822i | −0.440723 | + | 0.254452i | −0.703904 | − | 0.710295i | \(-0.748562\pi\) |
0.263181 | + | 0.964746i | \(0.415228\pi\) | |||||||
\(888\) | 1.76584 | − | 4.72627i | 0.0592578 | − | 0.158603i | ||||
\(889\) | −6.11191 | − | 3.52871i | −0.204987 | − | 0.118349i | ||||
\(890\) | 25.1601 | − | 7.72948i | 0.843370 | − | 0.259093i | ||||
\(891\) | 43.1393 | + | 1.41453i | 1.44522 | + | 0.0473885i | ||||
\(892\) | −15.6435 | − | 23.0576i | −0.523784 | − | 0.772026i | ||||
\(893\) | −13.0124 | + | 3.48667i | −0.435444 | + | 0.116677i | ||||
\(894\) | −2.43967 | − | 3.43828i | −0.0815949 | − | 0.114993i | ||||
\(895\) | −21.9535 | − | 38.0246i | −0.733826 | − | 1.27102i | ||||
\(896\) | −11.9001 | − | 45.8726i | −0.397554 | − | 1.53250i | ||||
\(897\) | 1.51410 | + | 2.30671i | 0.0505543 | + | 0.0770187i | ||||
\(898\) | 31.4831 | + | 50.2320i | 1.05060 | + | 1.67626i | ||||
\(899\) | 30.5097 | + | 30.5097i | 1.01755 | + | 1.01755i | ||||
\(900\) | 4.43267 | − | 12.6691i | 0.147756 | − | 0.422304i | ||||
\(901\) | −2.52455 | + | 2.52455i | −0.0841050 | + | 0.0841050i | ||||
\(902\) | 4.41963 | − | 19.2624i | 0.147158 | − | 0.641369i | ||||
\(903\) | 4.56853 | + | 79.7050i | 0.152031 | + | 2.65242i | ||||
\(904\) | −13.7998 | − | 18.8325i | −0.458974 | − | 0.626359i | ||||
\(905\) | −8.35749 | + | 4.82520i | −0.277812 | + | 0.160395i | ||||
\(906\) | 18.2105 | + | 49.0764i | 0.605002 | + | 1.63046i | ||||
\(907\) | −2.61434 | − | 9.75684i | −0.0868077 | − | 0.323971i | 0.908843 | − | 0.417139i | \(-0.136967\pi\) |
−0.995650 | + | 0.0931683i | \(0.970301\pi\) | |||||||
\(908\) | 2.85206 | − | 14.8876i | 0.0946489 | − | 0.494063i | ||||
\(909\) | 7.05943 | + | 5.60307i | 0.234146 | + | 0.185842i | ||||
\(910\) | −29.5732 | − | 15.6730i | −0.980341 | − | 0.519556i | ||||
\(911\) | −25.2358 | + | 43.7097i | −0.836099 | + | 1.44817i | 0.0570332 | + | 0.998372i | \(0.481836\pi\) |
−0.893132 | + | 0.449794i | \(0.851497\pi\) | |||||||
\(912\) | 2.03072 | + | 9.90108i | 0.0672440 | + | 0.327857i | ||||
\(913\) | −18.8459 | − | 32.6420i | −0.623708 | − | 1.08029i | ||||
\(914\) | −0.292434 | − | 8.06136i | −0.00967286 | − | 0.266646i | ||||
\(915\) | 21.3176 | − | 7.04208i | 0.704739 | − | 0.232804i | ||||
\(916\) | 25.0030 | − | 28.9204i | 0.826123 | − | 0.955558i | ||||
\(917\) | 22.5830 | − | 22.5830i | 0.745757 | − | 0.745757i | ||||
\(918\) | −15.7134 | − | 0.845775i | −0.518619 | − | 0.0279147i | ||||
\(919\) | − | 16.7422i | − | 0.552274i | −0.961118 | − | 0.276137i | \(-0.910946\pi\) | ||
0.961118 | − | 0.276137i | \(-0.0890544\pi\) | |||||||
\(920\) | 2.05388 | − | 0.797995i | 0.0677145 | − | 0.0263091i | ||||
\(921\) | −26.7789 | − | 13.4798i | −0.882396 | − | 0.444175i | ||||
\(922\) | 41.0987 | + | 38.2212i | 1.35351 | + | 1.25875i | ||||
\(923\) | −27.1806 | − | 7.28302i | −0.894661 | − | 0.239724i | ||||
\(924\) | 64.2625 | + | 26.7031i | 2.11408 | + | 0.878467i | ||||
\(925\) | 2.22538 | − | 0.596288i | 0.0731699 | − | 0.0196058i | ||||
\(926\) | −8.32164 | + | 15.7020i | −0.273466 | + | 0.515999i | ||||
\(927\) | −1.71998 | + | 3.96721i | −0.0564914 | + | 0.130300i | ||||
\(928\) | −3.08543 | + | 38.2461i | −0.101284 | + | 1.25549i | ||||
\(929\) | 9.92665 | − | 17.1935i | 0.325683 | − | 0.564099i | −0.655967 | − | 0.754789i | \(-0.727739\pi\) |
0.981650 | + | 0.190690i | \(0.0610725\pi\) | |||||||
\(930\) | 10.7988 | − | 23.5411i | 0.354106 | − | 0.771942i | ||||
\(931\) | −3.98199 | + | 14.8610i | −0.130504 | + | 0.487049i | ||||
\(932\) | 19.3759 | + | 9.38541i | 0.634679 | + | 0.307429i | ||||
\(933\) | 0.988613 | − | 1.10883i | 0.0323657 | − | 0.0363016i | ||||
\(934\) | 5.44696 | − | 23.7400i | 0.178230 | − | 0.776795i | ||||
\(935\) | 17.0708i | 0.558273i | ||||||||
\(936\) | 13.4486 | + | 25.5145i | 0.439582 | + | 0.833966i | ||||
\(937\) | − | 3.05876i | − | 0.0999253i | −0.998751 | − | 0.0499626i | \(-0.984090\pi\) | ||
0.998751 | − | 0.0499626i | \(-0.0159102\pi\) | |||||||
\(938\) | −58.7274 | − | 13.4746i | −1.91752 | − | 0.439961i | ||||
\(939\) | 31.1340 | + | 6.45859i | 1.01602 | + | 0.210768i | ||||
\(940\) | 10.0731 | + | 28.9992i | 0.328549 | + | 0.945850i | ||||
\(941\) | 3.07424 | − | 11.4732i | 0.100217 | − | 0.374016i | −0.897541 | − | 0.440930i | \(-0.854649\pi\) |
0.997759 | + | 0.0669140i | \(0.0213153\pi\) | |||||||
\(942\) | 21.1910 | − | 15.0363i | 0.690441 | − | 0.489910i | ||||
\(943\) | −0.682835 | + | 1.18270i | −0.0222362 | + | 0.0385141i | ||||
\(944\) | 2.42827 | + | 5.63562i | 0.0790335 | + | 0.183424i | ||||
\(945\) | 35.6470 | − | 6.18387i | 1.15960 | − | 0.201161i | ||||
\(946\) | −65.9434 | − | 34.9483i | −2.14401 | − | 1.13627i | ||||
\(947\) | −55.6732 | + | 14.9176i | −1.80914 | + | 0.484757i | −0.995343 | − | 0.0963965i | \(-0.969268\pi\) |
−0.813794 | + | 0.581153i | \(0.802602\pi\) | |||||||
\(948\) | −19.9387 | − | 15.3351i | −0.647578 | − | 0.498062i | ||||
\(949\) | 26.8122 | + | 7.18430i | 0.870360 | + | 0.233212i | ||||
\(950\) | −3.14303 | + | 3.37965i | −0.101973 | + | 0.109650i | ||||
\(951\) | 6.03585 | − | 3.96187i | 0.195726 | − | 0.128472i | ||||
\(952\) | −23.2193 | − | 10.2251i | −0.752540 | − | 0.331397i | ||||
\(953\) | 44.2546i | 1.43355i | 0.697306 | + | 0.716774i | \(0.254382\pi\) | ||||
−0.697306 | + | 0.716774i | \(0.745618\pi\) | |||||||
\(954\) | −6.47998 | + | 2.83623i | −0.209797 | + | 0.0918262i | ||||
\(955\) | −20.2186 | + | 20.2186i | −0.654259 | + | 0.654259i | ||||
\(956\) | 44.4544 | − | 3.22951i | 1.43776 | − | 0.104450i | ||||
\(957\) | −42.0556 | − | 37.4958i | −1.35946 | − | 1.21207i | ||||
\(958\) | 30.2059 | − | 1.09575i | 0.975908 | − | 0.0354021i | ||||
\(959\) | 19.9956 | + | 34.6334i | 0.645691 | + | 1.11837i | ||||
\(960\) | 22.1681 | − | 6.25030i | 0.715472 | − | 0.201727i | ||||
\(961\) | −4.73171 | + | 8.19557i | −0.152636 | + | 0.264373i | ||||
\(962\) | −2.31826 | + | 4.37428i | −0.0747436 | + | 0.141032i | ||||
\(963\) | 3.64617 | − | 24.5760i | 0.117496 | − | 0.791951i | ||||
\(964\) | 30.8307 | + | 45.4425i | 0.992990 | + | 1.46361i | ||||
\(965\) | −7.89407 | − | 29.4611i | −0.254119 | − | 0.948386i | ||||
\(966\) | −3.70301 | − | 3.06797i | −0.119142 | − | 0.0987103i | ||||
\(967\) | 36.7930 | − | 21.2424i | 1.18318 | − | 0.683110i | 0.226433 | − | 0.974027i | \(-0.427294\pi\) |
0.956748 | + | 0.290916i | \(0.0939602\pi\) | |||||||
\(968\) | −27.3776 | + | 20.0614i | −0.879950 | + | 0.644797i | ||||
\(969\) | 4.83314 | + | 2.43288i | 0.155263 | + | 0.0781552i | ||||
\(970\) | −26.0169 | − | 5.96940i | −0.835354 | − | 0.191666i | ||||
\(971\) | 11.1469 | − | 11.1469i | 0.357720 | − | 0.357720i | −0.505252 | − | 0.862972i | \(-0.668600\pi\) |
0.862972 | + | 0.505252i | \(0.168600\pi\) | |||||||
\(972\) | −28.3828 | − | 12.9004i | −0.910377 | − | 0.413779i | ||||
\(973\) | −42.8329 | − | 42.8329i | −1.37316 | − | 1.37316i | ||||
\(974\) | −47.1792 | + | 29.5697i | −1.51172 | + | 0.947475i | ||||
\(975\) | −5.92159 | + | 11.7638i | −0.189643 | + | 0.376743i | ||||
\(976\) | −25.0121 | − | 18.6365i | −0.800619 | − | 0.596541i | ||||
\(977\) | −2.47430 | − | 4.28561i | −0.0791598 | − | 0.137109i | 0.823728 | − | 0.566985i | \(-0.191890\pi\) |
−0.902888 | + | 0.429877i | \(0.858557\pi\) | |||||||
\(978\) | −1.12447 | − | 11.9893i | −0.0359565 | − | 0.383376i | ||||
\(979\) | 51.8682 | − | 13.8980i | 1.65771 | − | 0.444183i | ||||
\(980\) | 34.4338 | + | 6.59657i | 1.09995 | + | 0.210720i | ||||
\(981\) | −8.61369 | − | 1.27795i | −0.275014 | − | 0.0408019i | ||||
\(982\) | 14.5714 | + | 47.4310i | 0.464991 | + | 1.51359i | ||||
\(983\) | 41.6831 | + | 24.0658i | 1.32948 | + | 0.767578i | 0.985220 | − | 0.171294i | \(-0.0547948\pi\) |
0.344265 | + | 0.938873i | \(0.388128\pi\) | |||||||
\(984\) | −8.28693 | + | 11.6235i | −0.264178 | + | 0.370543i | ||||
\(985\) | −17.9237 | + | 10.3483i | −0.571098 | + | 0.329724i | ||||
\(986\) | 15.0422 | + | 13.9891i | 0.479042 | + | 0.445503i | ||||
\(987\) | 44.5856 | − | 50.0074i | 1.41917 | − | 1.59175i | ||||
\(988\) | −0.718580 | − | 9.89130i | −0.0228611 | − | 0.314684i | ||||
\(989\) | 3.64672 | + | 3.64672i | 0.115959 | + | 0.115959i | ||||
\(990\) | −12.3194 | + | 31.4976i | −0.391535 | + | 1.00106i | ||||
\(991\) | −8.90020 | −0.282724 | −0.141362 | − | 0.989958i | \(-0.545148\pi\) | ||||
−0.141362 | + | 0.989958i | \(0.545148\pi\) | |||||||
\(992\) | −35.3940 | + | 6.48820i | −1.12376 | + | 0.206001i | ||||
\(993\) | −4.91103 | − | 7.48188i | −0.155847 | − | 0.237430i | ||||
\(994\) | 49.0093 | − | 1.77787i | 1.55448 | − | 0.0563905i | ||||
\(995\) | −4.31407 | + | 16.1003i | −0.136765 | + | 0.510414i | ||||
\(996\) | 3.52328 | + | 26.9964i | 0.111639 | + | 0.855415i | ||||
\(997\) | 6.66586 | + | 24.8773i | 0.211110 | + | 0.787873i | 0.987500 | + | 0.157620i | \(0.0503822\pi\) |
−0.776390 | + | 0.630253i | \(0.782951\pi\) | |||||||
\(998\) | −17.7008 | + | 5.43789i | −0.560309 | + | 0.172133i | ||||
\(999\) | −0.914680 | − | 5.27268i | −0.0289392 | − | 0.166820i |
(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 | 144.2.x.e.61.7 | yes | 72 | |
3.2 | odd | 2 | 432.2.y.e.397.12 | 72 | |||
4.3 | odd | 2 | 576.2.bb.e.529.16 | 72 | |||
9.4 | even | 3 | inner | 144.2.x.e.13.18 | ✓ | 72 | |
9.5 | odd | 6 | 432.2.y.e.253.1 | 72 | |||
12.11 | even | 2 | 1728.2.bc.e.721.13 | 72 | |||
16.5 | even | 4 | inner | 144.2.x.e.133.18 | yes | 72 | |
16.11 | odd | 4 | 576.2.bb.e.241.8 | 72 | |||
36.23 | even | 6 | 1728.2.bc.e.145.6 | 72 | |||
36.31 | odd | 6 | 576.2.bb.e.337.8 | 72 | |||
48.5 | odd | 4 | 432.2.y.e.181.1 | 72 | |||
48.11 | even | 4 | 1728.2.bc.e.1585.6 | 72 | |||
144.5 | odd | 12 | 432.2.y.e.37.12 | 72 | |||
144.59 | even | 12 | 1728.2.bc.e.1009.13 | 72 | |||
144.85 | even | 12 | inner | 144.2.x.e.85.7 | yes | 72 | |
144.139 | odd | 12 | 576.2.bb.e.49.16 | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
144.2.x.e.13.18 | ✓ | 72 | 9.4 | even | 3 | inner | |
144.2.x.e.61.7 | yes | 72 | 1.1 | even | 1 | trivial | |
144.2.x.e.85.7 | yes | 72 | 144.85 | even | 12 | inner | |
144.2.x.e.133.18 | yes | 72 | 16.5 | even | 4 | inner | |
432.2.y.e.37.12 | 72 | 144.5 | odd | 12 | |||
432.2.y.e.181.1 | 72 | 48.5 | odd | 4 | |||
432.2.y.e.253.1 | 72 | 9.5 | odd | 6 | |||
432.2.y.e.397.12 | 72 | 3.2 | odd | 2 | |||
576.2.bb.e.49.16 | 72 | 144.139 | odd | 12 | |||
576.2.bb.e.241.8 | 72 | 16.11 | odd | 4 | |||
576.2.bb.e.337.8 | 72 | 36.31 | odd | 6 | |||
576.2.bb.e.529.16 | 72 | 4.3 | odd | 2 | |||
1728.2.bc.e.145.6 | 72 | 36.23 | even | 6 | |||
1728.2.bc.e.721.13 | 72 | 12.11 | even | 2 | |||
1728.2.bc.e.1009.13 | 72 | 144.59 | even | 12 | |||
1728.2.bc.e.1585.6 | 72 | 48.11 | even | 4 |