Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [230,2,Mod(31,230)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(230, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("230.31");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 230 = 2 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 230.g (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: | \(1.83655924649\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{11})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} - 5 x^{19} + 12 x^{18} + 16 x^{17} - 49 x^{16} + 59 x^{15} - 197 x^{14} + 42 x^{13} + 1625 x^{12} - 5910 x^{11} + 14651 x^{10} - 22501 x^{9} + 26003 x^{8} - 19607 x^{7} + \cdots + 529 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 41.2 | ||
Root | \(-0.271308 - 0.313106i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 230.41 |
Dual form | 230.2.g.b.101.2 |
$q$-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 \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(51\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{6}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.959493 | + | 0.281733i | 0.678464 | + | 0.199215i | ||||
\(3\) | 1.48208 | − | 1.71041i | 0.855679 | − | 0.987506i | −0.144319 | − | 0.989531i | \(-0.546099\pi\) |
0.999998 | + | 0.00202511i | \(0.000644613\pi\) | |||||||
\(4\) | 0.841254 | + | 0.540641i | 0.420627 | + | 0.270320i | ||||
\(5\) | −0.142315 | + | 0.989821i | −0.0636451 | + | 0.442662i | ||||
\(6\) | 1.90392 | − | 1.22358i | 0.777273 | − | 0.499523i | ||||
\(7\) | −0.119262 | − | 0.261148i | −0.0450769 | − | 0.0987046i | 0.885754 | − | 0.464155i | \(-0.153642\pi\) |
−0.930831 | + | 0.365451i | \(0.880915\pi\) | |||||||
\(8\) | 0.654861 | + | 0.755750i | 0.231528 | + | 0.267198i | ||||
\(9\) | −0.302001 | − | 2.10046i | −0.100667 | − | 0.700155i | ||||
\(10\) | −0.415415 | + | 0.909632i | −0.131366 | + | 0.287651i | ||||
\(11\) | −1.41662 | + | 0.415958i | −0.427128 | + | 0.125416i | −0.488229 | − | 0.872715i | \(-0.662357\pi\) |
0.0611011 | + | 0.998132i | \(0.480539\pi\) | |||||||
\(12\) | 2.17152 | − | 0.637616i | 0.626865 | − | 0.184064i | ||||
\(13\) | 0.722713 | − | 1.58252i | 0.200444 | − | 0.438912i | −0.782540 | − | 0.622600i | \(-0.786076\pi\) |
0.982985 | + | 0.183688i | \(0.0588036\pi\) | |||||||
\(14\) | −0.0408574 | − | 0.284169i | −0.0109196 | − | 0.0759475i | ||||
\(15\) | 1.48208 | + | 1.71041i | 0.382671 | + | 0.441626i | ||||
\(16\) | 0.415415 | + | 0.909632i | 0.103854 | + | 0.227408i | ||||
\(17\) | −4.20116 | + | 2.69992i | −1.01893 | + | 0.654827i | −0.939689 | − | 0.342029i | \(-0.888886\pi\) |
−0.0792407 | + | 0.996856i | \(0.525250\pi\) | |||||||
\(18\) | 0.302001 | − | 2.10046i | 0.0711824 | − | 0.495084i | ||||
\(19\) | −4.28535 | − | 2.75403i | −0.983127 | − | 0.631817i | −0.0528217 | − | 0.998604i | \(-0.516821\pi\) |
−0.930305 | + | 0.366787i | \(0.880458\pi\) | |||||||
\(20\) | −0.654861 | + | 0.755750i | −0.146431 | + | 0.168991i | ||||
\(21\) | −0.623426 | − | 0.183054i | −0.136043 | − | 0.0399457i | ||||
\(22\) | −1.47643 | −0.314776 | ||||||||
\(23\) | 3.72954 | − | 3.01505i | 0.777662 | − | 0.628682i | ||||
\(24\) | 2.26320 | 0.461973 | ||||||||
\(25\) | −0.959493 | − | 0.281733i | −0.191899 | − | 0.0563465i | ||||
\(26\) | 1.13929 | − | 1.31481i | 0.223432 | − | 0.257854i | ||||
\(27\) | 1.67152 | + | 1.07422i | 0.321685 | + | 0.206734i | ||||
\(28\) | 0.0408574 | − | 0.284169i | 0.00772132 | − | 0.0537030i | ||||
\(29\) | −4.22251 | + | 2.71364i | −0.784101 | + | 0.503911i | −0.870392 | − | 0.492359i | \(-0.836135\pi\) |
0.0862916 | + | 0.996270i | \(0.472498\pi\) | |||||||
\(30\) | 0.940166 | + | 2.05868i | 0.171650 | + | 0.375861i | ||||
\(31\) | −0.0279203 | − | 0.0322218i | −0.00501464 | − | 0.00578721i | 0.753237 | − | 0.657750i | \(-0.228491\pi\) |
−0.758251 | + | 0.651962i | \(0.773946\pi\) | |||||||
\(32\) | 0.142315 | + | 0.989821i | 0.0251579 | + | 0.174977i | ||||
\(33\) | −1.38809 | + | 3.03949i | −0.241635 | + | 0.529108i | ||||
\(34\) | −4.79164 | + | 1.40695i | −0.821759 | + | 0.241290i | ||||
\(35\) | 0.275462 | − | 0.0808831i | 0.0465617 | − | 0.0136717i | ||||
\(36\) | 0.881537 | − | 1.93030i | 0.146923 | − | 0.321716i | ||||
\(37\) | 0.623559 | + | 4.33695i | 0.102512 | + | 0.712990i | 0.974651 | + | 0.223731i | \(0.0718236\pi\) |
−0.872139 | + | 0.489259i | \(0.837267\pi\) | |||||||
\(38\) | −3.33586 | − | 3.84979i | −0.541149 | − | 0.624519i | ||||
\(39\) | −1.63564 | − | 3.58156i | −0.261912 | − | 0.573508i | ||||
\(40\) | −0.841254 | + | 0.540641i | −0.133014 | + | 0.0854828i | ||||
\(41\) | −1.14712 | + | 7.97839i | −0.179150 | + | 1.24602i | 0.679586 | + | 0.733596i | \(0.262160\pi\) |
−0.858736 | + | 0.512419i | \(0.828750\pi\) | |||||||
\(42\) | −0.546600 | − | 0.351279i | −0.0843423 | − | 0.0542035i | ||||
\(43\) | −2.56716 | + | 2.96267i | −0.391489 | + | 0.451802i | −0.916942 | − | 0.399020i | \(-0.869350\pi\) |
0.525453 | + | 0.850822i | \(0.323896\pi\) | |||||||
\(44\) | −1.41662 | − | 0.415958i | −0.213564 | − | 0.0627081i | ||||
\(45\) | 2.12206 | 0.316339 | ||||||||
\(46\) | 4.42790 | − | 1.84219i | 0.652859 | − | 0.271616i | ||||
\(47\) | 4.95602 | 0.722909 | 0.361455 | − | 0.932390i | \(-0.382280\pi\) | ||||
0.361455 | + | 0.932390i | \(0.382280\pi\) | |||||||
\(48\) | 2.17152 | + | 0.637616i | 0.313432 | + | 0.0920320i | ||||
\(49\) | 4.53005 | − | 5.22796i | 0.647150 | − | 0.746851i | ||||
\(50\) | −0.841254 | − | 0.540641i | −0.118971 | − | 0.0764582i | ||||
\(51\) | −1.60848 | + | 11.1872i | −0.225232 | + | 1.56652i | ||||
\(52\) | 1.46356 | − | 0.940573i | 0.202959 | − | 0.130434i | ||||
\(53\) | −0.805745 | − | 1.76434i | −0.110678 | − | 0.242350i | 0.846186 | − | 0.532888i | \(-0.178893\pi\) |
−0.956864 | + | 0.290538i | \(0.906166\pi\) | |||||||
\(54\) | 1.30117 | + | 1.50163i | 0.177067 | + | 0.204346i | ||||
\(55\) | −0.210118 | − | 1.46140i | −0.0283323 | − | 0.197055i | ||||
\(56\) | 0.119262 | − | 0.261148i | 0.0159371 | − | 0.0348973i | ||||
\(57\) | −11.0617 | + | 3.24802i | −1.46516 | + | 0.430211i | ||||
\(58\) | −4.81599 | + | 1.41410i | −0.632371 | + | 0.185681i | ||||
\(59\) | 2.26564 | − | 4.96106i | 0.294961 | − | 0.645875i | −0.702897 | − | 0.711292i | \(-0.748110\pi\) |
0.997858 | + | 0.0654167i | \(0.0208377\pi\) | |||||||
\(60\) | 0.322087 | + | 2.24016i | 0.0415812 | + | 0.289204i | ||||
\(61\) | −6.42398 | − | 7.41367i | −0.822507 | − | 0.949223i | 0.176880 | − | 0.984232i | \(-0.443399\pi\) |
−0.999387 | + | 0.0350091i | \(0.988854\pi\) | |||||||
\(62\) | −0.0177114 | − | 0.0387827i | −0.00224936 | − | 0.00492540i | ||||
\(63\) | −0.512514 | + | 0.329373i | −0.0645707 | + | 0.0414971i | ||||
\(64\) | −0.142315 | + | 0.989821i | −0.0177894 | + | 0.123728i | ||||
\(65\) | 1.46356 | + | 0.940573i | 0.181532 | + | 0.116664i | ||||
\(66\) | −2.18819 | + | 2.52530i | −0.269347 | + | 0.310843i | ||||
\(67\) | 6.47971 | + | 1.90261i | 0.791623 | + | 0.232441i | 0.652455 | − | 0.757828i | \(-0.273739\pi\) |
0.139168 | + | 0.990269i | \(0.455557\pi\) | |||||||
\(68\) | −4.99392 | −0.605602 | ||||||||
\(69\) | 0.370493 | − | 10.8476i | 0.0446021 | − | 1.30590i | ||||
\(70\) | 0.287092 | 0.0343140 | ||||||||
\(71\) | −3.42144 | − | 1.00463i | −0.406051 | − | 0.119227i | 0.0723281 | − | 0.997381i | \(-0.476957\pi\) |
−0.478379 | + | 0.878154i | \(0.658775\pi\) | |||||||
\(72\) | 1.38966 | − | 1.60375i | 0.163773 | − | 0.189004i | ||||
\(73\) | −9.83188 | − | 6.31857i | −1.15073 | − | 0.739532i | −0.180950 | − | 0.983492i | \(-0.557917\pi\) |
−0.969785 | + | 0.243960i | \(0.921553\pi\) | |||||||
\(74\) | −0.623559 | + | 4.33695i | −0.0724872 | + | 0.504160i | ||||
\(75\) | −1.90392 | + | 1.22358i | −0.219846 | + | 0.141287i | ||||
\(76\) | −2.11613 | − | 4.63367i | −0.242736 | − | 0.531518i | ||||
\(77\) | 0.277576 | + | 0.320340i | 0.0316327 | + | 0.0365061i | ||||
\(78\) | −0.560346 | − | 3.89729i | −0.0634467 | − | 0.441281i | ||||
\(79\) | 5.63907 | − | 12.3479i | 0.634445 | − | 1.38924i | −0.270086 | − | 0.962836i | \(-0.587052\pi\) |
0.904532 | − | 0.426406i | \(-0.140220\pi\) | |||||||
\(80\) | −0.959493 | + | 0.281733i | −0.107275 | + | 0.0314987i | ||||
\(81\) | 10.4230 | − | 3.06047i | 1.15811 | − | 0.340052i | ||||
\(82\) | −3.34842 | + | 7.33203i | −0.369772 | + | 0.809687i | ||||
\(83\) | 1.38883 | + | 9.65952i | 0.152444 | + | 1.06027i | 0.912107 | + | 0.409953i | \(0.134455\pi\) |
−0.759663 | + | 0.650317i | \(0.774636\pi\) | |||||||
\(84\) | −0.425493 | − | 0.491045i | −0.0464251 | − | 0.0535774i | ||||
\(85\) | −2.07455 | − | 4.54263i | −0.225017 | − | 0.492718i | ||||
\(86\) | −3.29786 | + | 2.11940i | −0.355617 | + | 0.228541i | ||||
\(87\) | −1.61665 | + | 11.2441i | −0.173323 | + | 1.20549i | ||||
\(88\) | −1.24205 | − | 0.798218i | −0.132403 | − | 0.0850903i | ||||
\(89\) | 2.15953 | − | 2.49223i | 0.228910 | − | 0.264176i | −0.629662 | − | 0.776869i | \(-0.716807\pi\) |
0.858572 | + | 0.512693i | \(0.171352\pi\) | |||||||
\(90\) | 2.03611 | + | 0.597855i | 0.214624 | + | 0.0630194i | ||||
\(91\) | −0.499464 | −0.0523580 | ||||||||
\(92\) | 4.76755 | − | 0.520083i | 0.497051 | − | 0.0542224i | ||||
\(93\) | −0.0964927 | −0.0100058 | ||||||||
\(94\) | 4.75526 | + | 1.39627i | 0.490468 | + | 0.144014i | ||||
\(95\) | 3.33586 | − | 3.84979i | 0.342252 | − | 0.394980i | ||||
\(96\) | 1.90392 | + | 1.22358i | 0.194318 | + | 0.124881i | ||||
\(97\) | −0.689351 | + | 4.79454i | −0.0699930 | + | 0.486812i | 0.924430 | + | 0.381351i | \(0.124541\pi\) |
−0.994423 | + | 0.105461i | \(0.966368\pi\) | |||||||
\(98\) | 5.81944 | − | 3.73993i | 0.587852 | − | 0.377789i | ||||
\(99\) | 1.30153 | + | 2.84995i | 0.130808 | + | 0.286431i | ||||
\(100\) | −0.654861 | − | 0.755750i | −0.0654861 | − | 0.0755750i | ||||
\(101\) | −1.84404 | − | 12.8256i | −0.183489 | − | 1.27619i | −0.848434 | − | 0.529301i | \(-0.822454\pi\) |
0.664945 | − | 0.746892i | \(-0.268455\pi\) | |||||||
\(102\) | −4.69512 | + | 10.2809i | −0.464886 | + | 1.01796i | ||||
\(103\) | −5.84488 | + | 1.71621i | −0.575913 | + | 0.169103i | −0.556702 | − | 0.830712i | \(-0.687934\pi\) |
−0.0192110 | + | 0.999815i | \(0.506115\pi\) | |||||||
\(104\) | 1.66926 | − | 0.490140i | 0.163685 | − | 0.0480622i | ||||
\(105\) | 0.269914 | − | 0.591029i | 0.0263409 | − | 0.0576785i | ||||
\(106\) | −0.276036 | − | 1.91987i | −0.0268110 | − | 0.186474i | ||||
\(107\) | 10.0474 | + | 11.5954i | 0.971322 | + | 1.12096i | 0.992629 | + | 0.121192i | \(0.0386716\pi\) |
−0.0213076 | + | 0.999773i | \(0.506783\pi\) | |||||||
\(108\) | 0.825406 | + | 1.80739i | 0.0794247 | + | 0.173916i | ||||
\(109\) | 15.4835 | − | 9.95065i | 1.48305 | − | 0.953099i | 0.486197 | − | 0.873849i | \(-0.338384\pi\) |
0.996855 | − | 0.0792502i | \(-0.0252526\pi\) | |||||||
\(110\) | 0.210118 | − | 1.46140i | 0.0200339 | − | 0.139339i | ||||
\(111\) | 8.34213 | + | 5.36116i | 0.791799 | + | 0.508859i | ||||
\(112\) | 0.188005 | − | 0.216969i | 0.0177648 | − | 0.0205017i | ||||
\(113\) | 11.4548 | + | 3.36343i | 1.07758 | + | 0.316405i | 0.771909 | − | 0.635733i | \(-0.219302\pi\) |
0.305668 | + | 0.952138i | \(0.401120\pi\) | |||||||
\(114\) | −11.5287 | −1.07977 | ||||||||
\(115\) | 2.45360 | + | 4.12066i | 0.228799 | + | 0.384254i | ||||
\(116\) | −5.01931 | −0.466031 | ||||||||
\(117\) | −3.54229 | − | 1.04011i | −0.327485 | − | 0.0961581i | ||||
\(118\) | 3.57156 | − | 4.12180i | 0.328789 | − | 0.379442i | ||||
\(119\) | 1.20612 | + | 0.775124i | 0.110565 | + | 0.0710555i | ||||
\(120\) | −0.322087 | + | 2.24016i | −0.0294024 | + | 0.204498i | ||||
\(121\) | −7.41999 | + | 4.76854i | −0.674544 | + | 0.433503i | ||||
\(122\) | −4.07509 | − | 8.92321i | −0.368942 | − | 0.807869i | ||||
\(123\) | 11.9462 | + | 13.7867i | 1.07715 | + | 1.24310i | ||||
\(124\) | −0.00606767 | − | 0.0422016i | −0.000544893 | − | 0.00378981i | ||||
\(125\) | 0.415415 | − | 0.909632i | 0.0371558 | − | 0.0813600i | ||||
\(126\) | −0.584549 | + | 0.171639i | −0.0520758 | + | 0.0152908i | ||||
\(127\) | 17.2561 | − | 5.06685i | 1.53123 | − | 0.449610i | 0.595805 | − | 0.803129i | \(-0.296833\pi\) |
0.935427 | + | 0.353519i | \(0.115015\pi\) | |||||||
\(128\) | −0.415415 | + | 0.909632i | −0.0367178 | + | 0.0804009i | ||||
\(129\) | 1.26263 | + | 8.78181i | 0.111169 | + | 0.773195i | ||||
\(130\) | 1.13929 | + | 1.31481i | 0.0999219 | + | 0.115316i | ||||
\(131\) | 1.51140 | + | 3.30950i | 0.132052 | + | 0.289153i | 0.964095 | − | 0.265558i | \(-0.0855562\pi\) |
−0.832043 | + | 0.554711i | \(0.812829\pi\) | |||||||
\(132\) | −2.81101 | + | 1.80653i | −0.244667 | + | 0.157238i | ||||
\(133\) | −0.208128 | + | 1.44756i | −0.0180470 | + | 0.125519i | ||||
\(134\) | 5.68121 | + | 3.65109i | 0.490782 | + | 0.315406i | ||||
\(135\) | −1.30117 | + | 1.50163i | −0.111987 | + | 0.129240i | ||||
\(136\) | −4.79164 | − | 1.40695i | −0.410879 | − | 0.120645i | ||||
\(137\) | 0.659606 | 0.0563539 | 0.0281770 | − | 0.999603i | \(-0.491030\pi\) | ||||
0.0281770 | + | 0.999603i | \(0.491030\pi\) | |||||||
\(138\) | 3.41160 | − | 10.3038i | 0.290415 | − | 0.877118i | ||||
\(139\) | 0.478719 | 0.0406044 | 0.0203022 | − | 0.999794i | \(-0.493537\pi\) | ||||
0.0203022 | + | 0.999794i | \(0.493537\pi\) | |||||||
\(140\) | 0.275462 | + | 0.0808831i | 0.0232808 | + | 0.00683587i | ||||
\(141\) | 7.34521 | − | 8.47682i | 0.618578 | − | 0.713877i | ||||
\(142\) | −2.99981 | − | 1.92786i | −0.251739 | − | 0.161783i | ||||
\(143\) | −0.365550 | + | 2.54245i | −0.0305688 | + | 0.212611i | ||||
\(144\) | 1.78519 | − | 1.14727i | 0.148766 | − | 0.0956062i | ||||
\(145\) | −2.08510 | − | 4.56572i | −0.173158 | − | 0.379163i | ||||
\(146\) | −7.65348 | − | 8.83258i | −0.633406 | − | 0.730990i | ||||
\(147\) | −2.22806 | − | 15.4965i | −0.183767 | − | 1.27813i | ||||
\(148\) | −1.82016 | + | 3.98559i | −0.149616 | + | 0.327614i | ||||
\(149\) | −18.8793 | + | 5.54346i | −1.54665 | + | 0.454138i | −0.940098 | − | 0.340903i | \(-0.889267\pi\) |
−0.606555 | + | 0.795042i | \(0.707449\pi\) | |||||||
\(150\) | −2.17152 | + | 0.637616i | −0.177304 | + | 0.0520612i | ||||
\(151\) | 5.16449 | − | 11.3086i | 0.420280 | − | 0.920285i | −0.574525 | − | 0.818487i | \(-0.694813\pi\) |
0.994805 | − | 0.101798i | \(-0.0324595\pi\) | |||||||
\(152\) | −0.724953 | − | 5.04216i | −0.0588014 | − | 0.408973i | ||||
\(153\) | 6.93984 | + | 8.00900i | 0.561053 | + | 0.647489i | ||||
\(154\) | 0.176082 | + | 0.385566i | 0.0141891 | + | 0.0310698i | ||||
\(155\) | 0.0358673 | − | 0.0230505i | 0.00288093 | − | 0.00185146i | ||||
\(156\) | 0.560346 | − | 3.89729i | 0.0448636 | − | 0.312033i | ||||
\(157\) | −13.1533 | − | 8.45310i | −1.04975 | − | 0.674631i | −0.102367 | − | 0.994747i | \(-0.532642\pi\) |
−0.947378 | + | 0.320116i | \(0.896278\pi\) | |||||||
\(158\) | 8.88944 | − | 10.2590i | 0.707206 | − | 0.816160i | ||||
\(159\) | −4.21192 | − | 1.23673i | −0.334027 | − | 0.0980791i | ||||
\(160\) | −1.00000 | −0.0790569 | ||||||||
\(161\) | −1.23217 | − | 0.614379i | −0.0971084 | − | 0.0484198i | ||||
\(162\) | 10.8630 | 0.853481 | ||||||||
\(163\) | −13.9983 | − | 4.11027i | −1.09643 | − | 0.321941i | −0.316998 | − | 0.948426i | \(-0.602675\pi\) |
−0.779434 | + | 0.626485i | \(0.784493\pi\) | |||||||
\(164\) | −5.27846 | + | 6.09167i | −0.412179 | + | 0.475679i | ||||
\(165\) | −2.81101 | − | 1.80653i | −0.218837 | − | 0.140638i | ||||
\(166\) | −1.38883 | + | 9.65952i | −0.107794 | + | 0.749724i | ||||
\(167\) | 14.1266 | − | 9.07860i | 1.09315 | − | 0.702523i | 0.135589 | − | 0.990765i | \(-0.456707\pi\) |
0.957558 | + | 0.288242i | \(0.0930708\pi\) | |||||||
\(168\) | −0.269914 | − | 0.591029i | −0.0208243 | − | 0.0455989i | ||||
\(169\) | 6.53113 | + | 7.53733i | 0.502395 | + | 0.579795i | ||||
\(170\) | −0.710710 | − | 4.94309i | −0.0545089 | − | 0.379118i | ||||
\(171\) | −4.49056 | + | 9.83294i | −0.343401 | + | 0.751944i | ||||
\(172\) | −3.76137 | + | 1.10444i | −0.286802 | + | 0.0842127i | ||||
\(173\) | 6.94530 | − | 2.03932i | 0.528041 | − | 0.155047i | −0.00683601 | − | 0.999977i | \(-0.502176\pi\) |
0.534877 | + | 0.844930i | \(0.320358\pi\) | |||||||
\(174\) | −4.71899 | + | 10.3331i | −0.357745 | + | 0.783353i | ||||
\(175\) | 0.0408574 | + | 0.284169i | 0.00308853 | + | 0.0214812i | ||||
\(176\) | −0.966856 | − | 1.11581i | −0.0728795 | − | 0.0841074i | ||||
\(177\) | −5.12759 | − | 11.2279i | −0.385414 | − | 0.843938i | ||||
\(178\) | 2.77420 | − | 1.78287i | 0.207935 | − | 0.133632i | ||||
\(179\) | −2.03761 | + | 14.1719i | −0.152298 | + | 1.05926i | 0.760057 | + | 0.649856i | \(0.225171\pi\) |
−0.912355 | + | 0.409400i | \(0.865738\pi\) | |||||||
\(180\) | 1.78519 | + | 1.14727i | 0.133060 | + | 0.0855128i | ||||
\(181\) | 7.22561 | − | 8.33880i | 0.537075 | − | 0.619818i | −0.420747 | − | 0.907178i | \(-0.638232\pi\) |
0.957823 | + | 0.287360i | \(0.0927775\pi\) | |||||||
\(182\) | −0.479232 | − | 0.140715i | −0.0355230 | − | 0.0104305i | ||||
\(183\) | −22.2013 | −1.64117 | ||||||||
\(184\) | 4.72095 | + | 0.844157i | 0.348033 | + | 0.0622321i | ||||
\(185\) | −4.38155 | −0.322138 | ||||||||
\(186\) | −0.0925840 | − | 0.0271851i | −0.00678859 | − | 0.00199331i | ||||
\(187\) | 4.82840 | − | 5.57228i | 0.353088 | − | 0.407485i | ||||
\(188\) | 4.16927 | + | 2.67942i | 0.304075 | + | 0.195417i | ||||
\(189\) | 0.0811813 | − | 0.564629i | 0.00590507 | − | 0.0410707i | ||||
\(190\) | 4.28535 | − | 2.75403i | 0.310892 | − | 0.199798i | ||||
\(191\) | 5.43536 | + | 11.9018i | 0.393289 | + | 0.861183i | 0.997907 | + | 0.0646671i | \(0.0205986\pi\) |
−0.604618 | + | 0.796516i | \(0.706674\pi\) | |||||||
\(192\) | 1.48208 | + | 1.71041i | 0.106960 | + | 0.123438i | ||||
\(193\) | −0.444960 | − | 3.09477i | −0.0320289 | − | 0.222766i | 0.967520 | − | 0.252794i | \(-0.0813495\pi\) |
−0.999549 | + | 0.0300279i | \(0.990440\pi\) | |||||||
\(194\) | −2.01221 | + | 4.40612i | −0.144468 | + | 0.316341i | ||||
\(195\) | 3.77788 | − | 1.10928i | 0.270539 | − | 0.0794375i | ||||
\(196\) | 6.63737 | − | 1.94891i | 0.474098 | − | 0.139208i | ||||
\(197\) | −10.8966 | + | 23.8602i | −0.776349 | + | 1.69997i | −0.0642003 | + | 0.997937i | \(0.520450\pi\) |
−0.712148 | + | 0.702029i | \(0.752278\pi\) | |||||||
\(198\) | 0.445883 | + | 3.10119i | 0.0316876 | + | 0.220392i | ||||
\(199\) | 2.08696 | + | 2.40849i | 0.147941 | + | 0.170733i | 0.824883 | − | 0.565303i | \(-0.191241\pi\) |
−0.676942 | + | 0.736036i | \(0.736695\pi\) | |||||||
\(200\) | −0.415415 | − | 0.909632i | −0.0293743 | − | 0.0643207i | ||||
\(201\) | 12.8577 | − | 8.26314i | 0.906912 | − | 0.582837i | ||||
\(202\) | 1.84404 | − | 12.8256i | 0.129746 | − | 0.902405i | ||||
\(203\) | 1.21225 | + | 0.779064i | 0.0850831 | + | 0.0546796i | ||||
\(204\) | −7.40139 | + | 8.54166i | −0.518201 | + | 0.598036i | ||||
\(205\) | −7.73393 | − | 2.27089i | −0.540161 | − | 0.158606i | ||||
\(206\) | −6.09164 | −0.424424 | ||||||||
\(207\) | −7.45934 | − | 6.92321i | −0.518460 | − | 0.481197i | ||||
\(208\) | 1.73974 | 0.120629 | ||||||||
\(209\) | 7.21629 | + | 2.11889i | 0.499161 | + | 0.146567i | ||||
\(210\) | 0.425493 | − | 0.491045i | 0.0293618 | − | 0.0338853i | ||||
\(211\) | −21.7758 | − | 13.9945i | −1.49911 | − | 0.963420i | −0.995010 | − | 0.0997757i | \(-0.968187\pi\) |
−0.504101 | − | 0.863645i | \(-0.668176\pi\) | |||||||
\(212\) | 0.276036 | − | 1.91987i | 0.0189582 | − | 0.131857i | ||||
\(213\) | −6.78917 | + | 4.36314i | −0.465186 | + | 0.298957i | ||||
\(214\) | 6.37365 | + | 13.9563i | 0.435694 | + | 0.954036i | ||||
\(215\) | −2.56716 | − | 2.96267i | −0.175079 | − | 0.202052i | ||||
\(216\) | 0.282771 | + | 1.96672i | 0.0192402 | + | 0.133818i | ||||
\(217\) | −0.00508481 | + | 0.0111342i | −0.000345179 | + | 0.000755837i | ||||
\(218\) | 17.6597 | − | 5.18537i | 1.19607 | − | 0.351198i | ||||
\(219\) | −25.3790 | + | 7.45194i | −1.71495 | + | 0.503555i | ||||
\(220\) | 0.613331 | − | 1.34301i | 0.0413508 | − | 0.0905455i | ||||
\(221\) | 1.23645 | + | 8.59968i | 0.0831724 | + | 0.578477i | ||||
\(222\) | 6.49380 | + | 7.49424i | 0.435835 | + | 0.502981i | ||||
\(223\) | 2.25516 | + | 4.93812i | 0.151017 | + | 0.330681i | 0.969988 | − | 0.243154i | \(-0.0781822\pi\) |
−0.818971 | + | 0.573835i | \(0.805455\pi\) | |||||||
\(224\) | 0.241517 | − | 0.155213i | 0.0161370 | − | 0.0103706i | ||||
\(225\) | −0.302001 | + | 2.10046i | −0.0201334 | + | 0.140031i | ||||
\(226\) | 10.0432 | + | 6.45438i | 0.668064 | + | 0.429339i | ||||
\(227\) | 5.24152 | − | 6.04903i | 0.347892 | − | 0.401488i | −0.554655 | − | 0.832080i | \(-0.687150\pi\) |
0.902547 | + | 0.430592i | \(0.141695\pi\) | |||||||
\(228\) | −11.0617 | − | 3.24802i | −0.732582 | − | 0.215105i | ||||
\(229\) | −26.0106 | −1.71883 | −0.859413 | − | 0.511281i | \(-0.829171\pi\) | ||||
−0.859413 | + | 0.511281i | \(0.829171\pi\) | |||||||
\(230\) | 1.19328 | + | 4.64501i | 0.0786827 | + | 0.306283i | ||||
\(231\) | 0.959303 | 0.0631175 | ||||||||
\(232\) | −4.81599 | − | 1.41410i | −0.316185 | − | 0.0928404i | ||||
\(233\) | −17.1409 | + | 19.7817i | −1.12294 | + | 1.29594i | −0.172509 | + | 0.985008i | \(0.555187\pi\) |
−0.950431 | + | 0.310934i | \(0.899358\pi\) | |||||||
\(234\) | −3.10577 | − | 1.99596i | −0.203030 | − | 0.130480i | ||||
\(235\) | −0.705315 | + | 4.90557i | −0.0460097 | + | 0.320004i | ||||
\(236\) | 4.58813 | − | 2.94861i | 0.298662 | − | 0.191938i | ||||
\(237\) | −12.7623 | − | 27.9456i | −0.829003 | − | 1.81526i | ||||
\(238\) | 0.938883 | + | 1.08353i | 0.0608588 | + | 0.0702347i | ||||
\(239\) | 1.87996 | + | 13.0754i | 0.121605 | + | 0.845778i | 0.955739 | + | 0.294217i | \(0.0950587\pi\) |
−0.834134 | + | 0.551562i | \(0.814032\pi\) | |||||||
\(240\) | −0.940166 | + | 2.05868i | −0.0606875 | + | 0.132887i | ||||
\(241\) | −8.29354 | + | 2.43520i | −0.534234 | + | 0.156865i | −0.537712 | − | 0.843129i | \(-0.680711\pi\) |
0.00347797 | + | 0.999994i | \(0.498893\pi\) | |||||||
\(242\) | −8.46288 | + | 2.48493i | −0.544014 | + | 0.159737i | ||||
\(243\) | 7.73684 | − | 16.9413i | 0.496319 | − | 1.08679i | ||||
\(244\) | −1.39606 | − | 9.70984i | −0.0893739 | − | 0.621609i | ||||
\(245\) | 4.53005 | + | 5.22796i | 0.289414 | + | 0.334002i | ||||
\(246\) | 7.57815 | + | 16.5938i | 0.483165 | + | 1.05798i | ||||
\(247\) | −7.45538 | + | 4.79128i | −0.474374 | + | 0.304862i | ||||
\(248\) | 0.00606767 | − | 0.0422016i | 0.000385297 | − | 0.00267980i | ||||
\(249\) | 18.5801 | + | 11.9407i | 1.17747 | + | 0.756711i | ||||
\(250\) | 0.654861 | − | 0.755750i | 0.0414170 | − | 0.0477978i | ||||
\(251\) | −23.1512 | − | 6.79780i | −1.46129 | − | 0.429074i | −0.548033 | − | 0.836457i | \(-0.684623\pi\) |
−0.913257 | + | 0.407383i | \(0.866441\pi\) | |||||||
\(252\) | −0.609227 | −0.0383777 | ||||||||
\(253\) | −4.02922 | + | 5.82253i | −0.253315 | + | 0.366059i | ||||
\(254\) | 17.9846 | 1.12845 | ||||||||
\(255\) | −10.8444 | − | 3.18421i | −0.679104 | − | 0.199403i | ||||
\(256\) | −0.654861 | + | 0.755750i | −0.0409288 | + | 0.0472343i | ||||
\(257\) | −4.83569 | − | 3.10771i | −0.301642 | − | 0.193854i | 0.381060 | − | 0.924550i | \(-0.375559\pi\) |
−0.682702 | + | 0.730697i | \(0.739195\pi\) | |||||||
\(258\) | −1.26263 | + | 8.78181i | −0.0786081 | + | 0.546732i | ||||
\(259\) | 1.05822 | − | 0.680075i | 0.0657544 | − | 0.0422578i | ||||
\(260\) | 0.722713 | + | 1.58252i | 0.0448207 | + | 0.0981437i | ||||
\(261\) | 6.97511 | + | 8.04971i | 0.431749 | + | 0.498265i | ||||
\(262\) | 0.517783 | + | 3.60126i | 0.0319887 | + | 0.222486i | ||||
\(263\) | 11.6366 | − | 25.4807i | 0.717545 | − | 1.57121i | −0.0997673 | − | 0.995011i | \(-0.531810\pi\) |
0.817313 | − | 0.576194i | \(-0.195463\pi\) | |||||||
\(264\) | −3.20610 | + | 0.941396i | −0.197322 | + | 0.0579389i | ||||
\(265\) | 1.86105 | − | 0.546453i | 0.114323 | − | 0.0335683i | ||||
\(266\) | −0.607522 | + | 1.33029i | −0.0372496 | + | 0.0815652i | ||||
\(267\) | −1.06214 | − | 7.38736i | −0.0650021 | − | 0.452099i | ||||
\(268\) | 4.42245 | + | 5.10378i | 0.270144 | + | 0.311763i | ||||
\(269\) | 1.27265 | + | 2.78672i | 0.0775951 | + | 0.169910i | 0.944454 | − | 0.328645i | \(-0.106592\pi\) |
−0.866859 | + | 0.498554i | \(0.833865\pi\) | |||||||
\(270\) | −1.67152 | + | 1.07422i | −0.101726 | + | 0.0653751i | ||||
\(271\) | −3.33392 | + | 23.1879i | −0.202521 | + | 1.40857i | 0.594247 | + | 0.804283i | \(0.297450\pi\) |
−0.796768 | + | 0.604285i | \(0.793459\pi\) | |||||||
\(272\) | −4.20116 | − | 2.69992i | −0.254733 | − | 0.163707i | ||||
\(273\) | −0.740245 | + | 0.854288i | −0.0448017 | + | 0.0517039i | ||||
\(274\) | 0.632887 | + | 0.185832i | 0.0382341 | + | 0.0112265i | ||||
\(275\) | 1.47643 | 0.0890320 | ||||||||
\(276\) | 6.17633 | − | 8.92527i | 0.371771 | − | 0.537238i | ||||
\(277\) | 7.10279 | 0.426765 | 0.213383 | − | 0.976969i | \(-0.431552\pi\) | ||||
0.213383 | + | 0.976969i | \(0.431552\pi\) | |||||||
\(278\) | 0.459327 | + | 0.134871i | 0.0275486 | + | 0.00808901i | ||||
\(279\) | −0.0592488 | + | 0.0683767i | −0.00354713 | + | 0.00409361i | ||||
\(280\) | 0.241517 | + | 0.155213i | 0.0144334 | + | 0.00927578i | ||||
\(281\) | −1.15597 | + | 8.03994i | −0.0689593 | + | 0.479623i | 0.925852 | + | 0.377886i | \(0.123349\pi\) |
−0.994811 | + | 0.101737i | \(0.967560\pi\) | |||||||
\(282\) | 9.43587 | − | 6.06407i | 0.561898 | − | 0.361110i | ||||
\(283\) | 5.83034 | + | 12.7667i | 0.346577 | + | 0.758899i | 0.999998 | + | 0.00190388i | \(0.000606023\pi\) |
−0.653421 | + | 0.756995i | \(0.726667\pi\) | |||||||
\(284\) | −2.33516 | − | 2.69492i | −0.138566 | − | 0.159914i | ||||
\(285\) | −1.64071 | − | 11.4114i | −0.0971873 | − | 0.675953i | ||||
\(286\) | −1.06703 | + | 2.33648i | −0.0630951 | + | 0.138159i | ||||
\(287\) | 2.22035 | − | 0.651953i | 0.131063 | − | 0.0384835i | ||||
\(288\) | 2.03611 | − | 0.597855i | 0.119979 | − | 0.0352289i | ||||
\(289\) | 3.29810 | − | 7.22182i | 0.194006 | − | 0.424813i | ||||
\(290\) | −0.714322 | − | 4.96822i | −0.0419464 | − | 0.291744i | ||||
\(291\) | 7.17897 | + | 8.28497i | 0.420838 | + | 0.485673i | ||||
\(292\) | −4.85503 | − | 10.6310i | −0.284119 | − | 0.622134i | ||||
\(293\) | 13.4130 | − | 8.62000i | 0.783595 | − | 0.503586i | −0.0866298 | − | 0.996241i | \(-0.527610\pi\) |
0.870225 | + | 0.492655i | \(0.163973\pi\) | |||||||
\(294\) | 2.22806 | − | 15.4965i | 0.129943 | − | 0.903774i | ||||
\(295\) | 4.58813 | + | 2.94861i | 0.267131 | + | 0.171675i | ||||
\(296\) | −2.86930 | + | 3.31135i | −0.166775 | + | 0.192468i | ||||
\(297\) | −2.81475 | − | 0.826485i | −0.163328 | − | 0.0479575i | ||||
\(298\) | −19.6763 | −1.13982 | ||||||||
\(299\) | −2.07600 | − | 8.08109i | −0.120058 | − | 0.467341i | ||||
\(300\) | −2.26320 | −0.130666 | ||||||||
\(301\) | 1.07986 | + | 0.317075i | 0.0622420 | + | 0.0182759i | ||||
\(302\) | 8.14130 | − | 9.39556i | 0.468479 | − | 0.540654i | ||||
\(303\) | −24.6700 | − | 15.8545i | −1.41726 | − | 0.910815i | ||||
\(304\) | 0.724953 | − | 5.04216i | 0.0415789 | − | 0.289187i | ||||
\(305\) | 8.25244 | − | 5.30352i | 0.472533 | − | 0.303679i | ||||
\(306\) | 4.40233 | + | 9.63976i | 0.251664 | + | 0.551068i | ||||
\(307\) | −13.4605 | − | 15.5342i | −0.768231 | − | 0.886586i | 0.227970 | − | 0.973668i | \(-0.426791\pi\) |
−0.996201 | + | 0.0870824i | \(0.972246\pi\) | |||||||
\(308\) | 0.0603231 | + | 0.419556i | 0.00343723 | + | 0.0239064i | ||||
\(309\) | −5.72715 | + | 12.5407i | −0.325806 | + | 0.713416i | ||||
\(310\) | 0.0409085 | − | 0.0120118i | 0.00232345 | − | 0.000682226i | ||||
\(311\) | −8.25521 | + | 2.42395i | −0.468110 | + | 0.137449i | −0.507277 | − | 0.861783i | \(-0.669348\pi\) |
0.0391668 | + | 0.999233i | \(0.487530\pi\) | |||||||
\(312\) | 1.63564 | − | 3.58156i | 0.0926000 | − | 0.202766i | ||||
\(313\) | 1.51140 | + | 10.5120i | 0.0854295 | + | 0.594175i | 0.986900 | + | 0.161334i | \(0.0515797\pi\) |
−0.901470 | + | 0.432841i | \(0.857511\pi\) | |||||||
\(314\) | −10.2390 | − | 11.8164i | −0.577818 | − | 0.666838i | ||||
\(315\) | −0.253082 | − | 0.554172i | −0.0142596 | − | 0.0312241i | ||||
\(316\) | 11.4196 | − | 7.33896i | 0.642405 | − | 0.412849i | ||||
\(317\) | −2.68529 | + | 18.6766i | −0.150821 | + | 1.04898i | 0.764028 | + | 0.645183i | \(0.223219\pi\) |
−0.914848 | + | 0.403798i | \(0.867690\pi\) | |||||||
\(318\) | −3.69288 | − | 2.37327i | −0.207086 | − | 0.133086i | ||||
\(319\) | 4.85295 | − | 5.60060i | 0.271713 | − | 0.313573i | ||||
\(320\) | −0.959493 | − | 0.281733i | −0.0536373 | − | 0.0157493i | ||||
\(321\) | 34.7239 | 1.93810 | ||||||||
\(322\) | −1.00917 | − | 0.936634i | −0.0562386 | − | 0.0521966i | ||||
\(323\) | 25.4391 | 1.41547 | ||||||||
\(324\) | 10.4230 | + | 3.06047i | 0.579056 | + | 0.170026i | ||||
\(325\) | −1.13929 | + | 1.31481i | −0.0631962 | + | 0.0729323i | ||||
\(326\) | −12.2733 | − | 7.88755i | −0.679754 | − | 0.436851i | ||||
\(327\) | 5.92810 | − | 41.2308i | 0.327825 | − | 2.28007i | ||||
\(328\) | −6.78087 | + | 4.35780i | −0.374411 | + | 0.240619i | ||||
\(329\) | −0.591065 | − | 1.29425i | −0.0325865 | − | 0.0713545i | ||||
\(330\) | −2.18819 | − | 2.52530i | −0.120456 | − | 0.139013i | ||||
\(331\) | −0.0695067 | − | 0.483430i | −0.00382044 | − | 0.0265717i | 0.987822 | − | 0.155588i | \(-0.0497272\pi\) |
−0.991642 | + | 0.129016i | \(0.958818\pi\) | |||||||
\(332\) | −4.05397 | + | 8.87696i | −0.222491 | + | 0.487186i | ||||
\(333\) | 8.92129 | − | 2.61953i | 0.488884 | − | 0.143549i | ||||
\(334\) | 16.1121 | − | 4.73093i | 0.881614 | − | 0.258865i | ||||
\(335\) | −2.80541 | + | 6.14299i | −0.153276 | + | 0.335627i | ||||
\(336\) | −0.0924684 | − | 0.643132i | −0.00504456 | − | 0.0350857i | ||||
\(337\) | 23.2696 | + | 26.8546i | 1.26758 | + | 1.46286i | 0.823960 | + | 0.566647i | \(0.191760\pi\) |
0.443618 | + | 0.896216i | \(0.353695\pi\) | |||||||
\(338\) | 4.14307 | + | 9.07205i | 0.225353 | + | 0.493454i | ||||
\(339\) | 22.7298 | − | 14.6075i | 1.23451 | − | 0.793372i | ||||
\(340\) | 0.710710 | − | 4.94309i | 0.0385436 | − | 0.268077i | ||||
\(341\) | 0.0529555 | + | 0.0340325i | 0.00286770 | + | 0.00184296i | ||||
\(342\) | −7.07892 | + | 8.16951i | −0.382784 | + | 0.441756i | ||||
\(343\) | −3.83377 | − | 1.12570i | −0.207004 | − | 0.0607819i | ||||
\(344\) | −3.92017 | −0.211361 | ||||||||
\(345\) | 10.6845 | + | 1.91049i | 0.575231 | + | 0.102858i | ||||
\(346\) | 7.23851 | 0.389145 | ||||||||
\(347\) | −33.0807 | − | 9.71337i | −1.77587 | − | 0.521441i | −0.781171 | − | 0.624317i | \(-0.785377\pi\) |
−0.994694 | + | 0.102876i | \(0.967195\pi\) | |||||||
\(348\) | −7.43901 | + | 8.58508i | −0.398773 | + | 0.460209i | ||||
\(349\) | 8.44393 | + | 5.42658i | 0.451993 | + | 0.290478i | 0.746763 | − | 0.665090i | \(-0.231607\pi\) |
−0.294770 | + | 0.955568i | \(0.595243\pi\) | |||||||
\(350\) | −0.0408574 | + | 0.284169i | −0.00218392 | + | 0.0151895i | ||||
\(351\) | 2.90801 | − | 1.86886i | 0.155218 | − | 0.0997526i | ||||
\(352\) | −0.613331 | − | 1.34301i | −0.0326906 | − | 0.0715825i | ||||
\(353\) | 3.63616 | + | 4.19635i | 0.193533 | + | 0.223349i | 0.844220 | − | 0.535997i | \(-0.180064\pi\) |
−0.650686 | + | 0.759347i | \(0.725519\pi\) | |||||||
\(354\) | −1.75664 | − | 12.2177i | −0.0933641 | − | 0.649362i | ||||
\(355\) | 1.48132 | − | 3.24364i | 0.0786204 | − | 0.172155i | ||||
\(356\) | 3.16411 | − | 0.929067i | 0.167698 | − | 0.0492405i | ||||
\(357\) | 3.11334 | − | 0.914160i | 0.164776 | − | 0.0483825i | ||||
\(358\) | −5.94775 | + | 13.0238i | −0.314348 | + | 0.688327i | ||||
\(359\) | 1.36621 | + | 9.50222i | 0.0721060 | + | 0.501508i | 0.993586 | + | 0.113082i | \(0.0360722\pi\) |
−0.921480 | + | 0.388427i | \(0.873019\pi\) | |||||||
\(360\) | 1.38966 | + | 1.60375i | 0.0732413 | + | 0.0845250i | ||||
\(361\) | 2.88667 | + | 6.32093i | 0.151930 | + | 0.332681i | ||||
\(362\) | 9.28223 | − | 5.96533i | 0.487863 | − | 0.313531i | ||||
\(363\) | −2.84085 | + | 19.7586i | −0.149106 | + | 1.03706i | ||||
\(364\) | −0.420176 | − | 0.270031i | −0.0220232 | − | 0.0141534i | ||||
\(365\) | 7.65348 | − | 8.83258i | 0.400601 | − | 0.462319i | ||||
\(366\) | −21.3020 | − | 6.25482i | −1.11347 | − | 0.326945i | ||||
\(367\) | 17.0936 | 0.892280 | 0.446140 | − | 0.894963i | \(-0.352798\pi\) | ||||
0.446140 | + | 0.894963i | \(0.352798\pi\) | |||||||
\(368\) | 4.29189 | + | 2.14001i | 0.223730 | + | 0.111556i | ||||
\(369\) | 17.1048 | 0.890438 | ||||||||
\(370\) | −4.20406 | − | 1.23442i | −0.218559 | − | 0.0641746i | ||||
\(371\) | −0.364657 | + | 0.420837i | −0.0189321 | + | 0.0218488i | ||||
\(372\) | −0.0811748 | − | 0.0521679i | −0.00420872 | − | 0.00270478i | ||||
\(373\) | 0.416461 | − | 2.89655i | 0.0215635 | − | 0.149978i | −0.976195 | − | 0.216895i | \(-0.930407\pi\) |
0.997759 | + | 0.0669171i | \(0.0213163\pi\) | |||||||
\(374\) | 6.20271 | − | 3.98624i | 0.320735 | − | 0.206124i | ||||
\(375\) | −0.940166 | − | 2.05868i | −0.0485500 | − | 0.106310i | ||||
\(376\) | 3.24550 | + | 3.74551i | 0.167374 | + | 0.193160i | ||||
\(377\) | 1.24273 | + | 8.64339i | 0.0640040 | + | 0.445157i | ||||
\(378\) | 0.236967 | − | 0.518886i | 0.0121883 | − | 0.0266886i | ||||
\(379\) | 4.80757 | − | 1.41163i | 0.246948 | − | 0.0725106i | −0.155916 | − | 0.987770i | \(-0.549833\pi\) |
0.402864 | + | 0.915260i | \(0.368015\pi\) | |||||||
\(380\) | 4.88766 | − | 1.43515i | 0.250732 | − | 0.0736215i | ||||
\(381\) | 16.9085 | − | 37.0245i | 0.866250 | − | 1.89682i | ||||
\(382\) | 1.86207 | + | 12.9510i | 0.0952719 | + | 0.662631i | ||||
\(383\) | −6.30745 | − | 7.27919i | −0.322296 | − | 0.371949i | 0.571362 | − | 0.820698i | \(-0.306415\pi\) |
−0.893658 | + | 0.448749i | \(0.851870\pi\) | |||||||
\(384\) | 0.940166 | + | 2.05868i | 0.0479777 | + | 0.105056i | ||||
\(385\) | −0.356583 | + | 0.229162i | −0.0181731 | + | 0.0116792i | ||||
\(386\) | 0.444960 | − | 3.09477i | 0.0226479 | − | 0.157519i | ||||
\(387\) | 6.99826 | + | 4.49751i | 0.355742 | + | 0.228621i | ||||
\(388\) | −3.17205 | + | 3.66074i | −0.161036 | + | 0.185846i | ||||
\(389\) | 3.97728 | + | 1.16783i | 0.201656 | + | 0.0592115i | 0.381001 | − | 0.924575i | \(-0.375580\pi\) |
−0.179345 | + | 0.983786i | \(0.557398\pi\) | |||||||
\(390\) | 3.93737 | 0.199376 | ||||||||
\(391\) | −7.52797 | + | 22.7362i | −0.380706 | + | 1.14982i | ||||
\(392\) | 6.91758 | 0.349390 | ||||||||
\(393\) | 7.90063 | + | 2.31983i | 0.398534 | + | 0.117020i | ||||
\(394\) | −17.1774 | + | 19.8237i | −0.865383 | + | 0.998706i | ||||
\(395\) | 11.4196 | + | 7.33896i | 0.574585 | + | 0.369263i | ||||
\(396\) | −0.445883 | + | 3.10119i | −0.0224065 | + | 0.155841i | ||||
\(397\) | 29.1525 | − | 18.7352i | 1.46312 | − | 0.940292i | 0.464625 | − | 0.885508i | \(-0.346189\pi\) |
0.998498 | − | 0.0547845i | \(-0.0174472\pi\) | |||||||
\(398\) | 1.32388 | + | 2.89889i | 0.0663601 | + | 0.145308i | ||||
\(399\) | 2.16746 | + | 2.50138i | 0.108509 | + | 0.125226i | ||||
\(400\) | −0.142315 | − | 0.989821i | −0.00711574 | − | 0.0494911i | ||||
\(401\) | −7.41042 | + | 16.2266i | −0.370059 | + | 0.810316i | 0.629389 | + | 0.777090i | \(0.283305\pi\) |
−0.999448 | + | 0.0332255i | \(0.989422\pi\) | |||||||
\(402\) | 14.6649 | − | 4.30599i | 0.731417 | − | 0.214763i | ||||
\(403\) | −0.0711700 | + | 0.0208974i | −0.00354523 | + | 0.00104097i | ||||
\(404\) | 5.38273 | − | 11.7865i | 0.267801 | − | 0.586402i | ||||
\(405\) | 1.54597 | + | 10.7525i | 0.0768199 | + | 0.534294i | ||||
\(406\) | 0.943655 | + | 1.08904i | 0.0468328 | + | 0.0540480i | ||||
\(407\) | −2.68734 | − | 5.88445i | −0.133206 | − | 0.291681i | ||||
\(408\) | −9.50805 | + | 6.11045i | −0.470719 | + | 0.302512i | ||||
\(409\) | −2.93217 | + | 20.3937i | −0.144986 | + | 1.00840i | 0.779286 | + | 0.626668i | \(0.215582\pi\) |
−0.924272 | + | 0.381734i | \(0.875327\pi\) | |||||||
\(410\) | −6.78087 | − | 4.35780i | −0.334883 | − | 0.215216i | ||||
\(411\) | 0.977588 | − | 1.12820i | 0.0482209 | − | 0.0556498i | ||||
\(412\) | −5.84488 | − | 1.71621i | −0.287957 | − | 0.0845517i | ||||
\(413\) | −1.56578 | −0.0770468 | ||||||||
\(414\) | −5.20669 | − | 8.74431i | −0.255895 | − | 0.429760i | ||||
\(415\) | −9.75885 | −0.479043 | ||||||||
\(416\) | 1.66926 | + | 0.490140i | 0.0818424 | + | 0.0240311i | ||||
\(417\) | 0.709499 | − | 0.818806i | 0.0347443 | − | 0.0400971i | ||||
\(418\) | 6.32702 | + | 4.06613i | 0.309465 | + | 0.198881i | ||||
\(419\) | 5.33643 | − | 37.1157i | 0.260702 | − | 1.81322i | −0.266896 | − | 0.963725i | \(-0.585998\pi\) |
0.527597 | − | 0.849494i | \(-0.323093\pi\) | |||||||
\(420\) | 0.546600 | − | 0.351279i | 0.0266714 | − | 0.0171407i | ||||
\(421\) | 0.918473 | + | 2.01118i | 0.0447636 | + | 0.0980187i | 0.930693 | − | 0.365802i | \(-0.119205\pi\) |
−0.885929 | + | 0.463821i | \(0.846478\pi\) | |||||||
\(422\) | −16.9511 | − | 19.5626i | −0.825165 | − | 0.952291i | ||||
\(423\) | −1.49672 | − | 10.4099i | −0.0727732 | − | 0.506148i | ||||
\(424\) | 0.805745 | − | 1.76434i | 0.0391304 | − | 0.0856837i | ||||
\(425\) | 4.79164 | − | 1.40695i | 0.232428 | − | 0.0682472i | ||||
\(426\) | −7.74340 | + | 2.27367i | −0.375169 | + | 0.110160i | ||||
\(427\) | −1.16993 | + | 2.56178i | −0.0566167 | + | 0.123973i | ||||
\(428\) | 2.18351 | + | 15.1867i | 0.105544 | + | 0.734076i | ||||
\(429\) | 3.80687 | + | 4.39336i | 0.183797 | + | 0.212113i | ||||
\(430\) | −1.62850 | − | 3.56591i | −0.0785331 | − | 0.171963i | ||||
\(431\) | −3.53497 | + | 2.27179i | −0.170273 | + | 0.109428i | −0.623002 | − | 0.782220i | \(-0.714087\pi\) |
0.452728 | + | 0.891648i | \(0.350451\pi\) | |||||||
\(432\) | −0.282771 | + | 1.96672i | −0.0136048 | + | 0.0946238i | ||||
\(433\) | 3.44487 | + | 2.21388i | 0.165550 | + | 0.106392i | 0.620792 | − | 0.783975i | \(-0.286811\pi\) |
−0.455242 | + | 0.890368i | \(0.650447\pi\) | |||||||
\(434\) | −0.00801570 | + | 0.00925061i | −0.000384766 | + | 0.000444043i | ||||
\(435\) | −10.8995 | − | 3.20039i | −0.522593 | − | 0.153447i | ||||
\(436\) | 18.4053 | 0.881453 | ||||||||
\(437\) | −24.2859 | + | 2.64931i | −1.16175 | + | 0.126734i | ||||
\(438\) | −26.4504 | −1.26385 | ||||||||
\(439\) | 0.640682 | + | 0.188121i | 0.0305781 | + | 0.00897853i | 0.296986 | − | 0.954882i | \(-0.404019\pi\) |
−0.266408 | + | 0.963860i | \(0.585837\pi\) | |||||||
\(440\) | 0.966856 | − | 1.11581i | 0.0460930 | − | 0.0531942i | ||||
\(441\) | −12.3492 | − | 7.93636i | −0.588058 | − | 0.377922i | ||||
\(442\) | −1.23645 | + | 8.59968i | −0.0588118 | + | 0.409045i | ||||
\(443\) | 34.5290 | − | 22.1904i | 1.64052 | − | 1.05430i | 0.700235 | − | 0.713912i | \(-0.253078\pi\) |
0.940286 | − | 0.340387i | \(-0.110558\pi\) | |||||||
\(444\) | 4.11938 | + | 9.02019i | 0.195497 | + | 0.428079i | ||||
\(445\) | 2.15953 | + | 2.49223i | 0.102372 | + | 0.118143i | ||||
\(446\) | 0.772585 | + | 5.37344i | 0.0365829 | + | 0.254440i | ||||
\(447\) | −18.4990 | + | 40.5072i | −0.874974 | + | 1.91593i | ||||
\(448\) | 0.275462 | − | 0.0808831i | 0.0130144 | − | 0.00382137i | ||||
\(449\) | −32.5002 | + | 9.54291i | −1.53378 | + | 0.450358i | −0.936204 | − | 0.351456i | \(-0.885687\pi\) |
−0.597574 | + | 0.801814i | \(0.703868\pi\) | |||||||
\(450\) | −0.881537 | + | 1.93030i | −0.0415561 | + | 0.0909951i | ||||
\(451\) | −1.69364 | − | 11.7795i | −0.0797504 | − | 0.554676i | ||||
\(452\) | 7.81798 | + | 9.02243i | 0.367727 | + | 0.424379i | ||||
\(453\) | −11.6883 | − | 25.5937i | −0.549162 | − | 1.20250i | ||||
\(454\) | 6.73341 | − | 4.32730i | 0.316015 | − | 0.203090i | ||||
\(455\) | 0.0710811 | − | 0.494380i | 0.00333233 | − | 0.0231769i | ||||
\(456\) | −9.69859 | − | 6.23291i | −0.454178 | − | 0.291883i | ||||
\(457\) | −16.4874 | + | 19.0275i | −0.771250 | + | 0.890070i | −0.996445 | − | 0.0842436i | \(-0.973153\pi\) |
0.225195 | + | 0.974314i | \(0.427698\pi\) | |||||||
\(458\) | −24.9570 | − | 7.32802i | −1.16616 | − | 0.342416i | ||||
\(459\) | −9.92264 | −0.463149 | ||||||||
\(460\) | −0.163703 | + | 4.79304i | −0.00763270 | + | 0.223476i | ||||
\(461\) | −14.7495 | −0.686955 | −0.343477 | − | 0.939161i | \(-0.611605\pi\) | ||||
−0.343477 | + | 0.939161i | \(0.611605\pi\) | |||||||
\(462\) | 0.920444 | + | 0.270267i | 0.0428230 | + | 0.0125740i | ||||
\(463\) | −24.9909 | + | 28.8411i | −1.16143 | + | 1.34036i | −0.231403 | + | 0.972858i | \(0.574331\pi\) |
−0.930024 | + | 0.367500i | \(0.880214\pi\) | |||||||
\(464\) | −4.22251 | − | 2.71364i | −0.196025 | − | 0.125978i | ||||
\(465\) | 0.0137323 | − | 0.0955105i | 0.000636822 | − | 0.00442919i | ||||
\(466\) | −22.0198 | + | 14.1512i | −1.02005 | + | 0.655544i | ||||
\(467\) | −12.4494 | − | 27.2604i | −0.576090 | − | 1.26146i | −0.943491 | − | 0.331398i | \(-0.892480\pi\) |
0.367401 | − | 0.930063i | \(-0.380248\pi\) | |||||||
\(468\) | −2.41764 | − | 2.79010i | −0.111755 | − | 0.128972i | ||||
\(469\) | −0.275921 | − | 1.91907i | −0.0127408 | − | 0.0886145i | ||||
\(470\) | −2.05880 | + | 4.50815i | −0.0949655 | + | 0.207945i | ||||
\(471\) | −33.9525 | + | 9.96935i | −1.56445 | + | 0.459363i | ||||
\(472\) | 5.23300 | − | 1.53655i | 0.240868 | − | 0.0707253i | ||||
\(473\) | 2.40436 | − | 5.26481i | 0.110553 | − | 0.242076i | ||||
\(474\) | −4.37218 | − | 30.4092i | −0.200821 | − | 1.39674i | ||||
\(475\) | 3.33586 | + | 3.84979i | 0.153060 | + | 0.176641i | ||||
\(476\) | 0.595586 | + | 1.30415i | 0.0272987 | + | 0.0597757i | ||||
\(477\) | −3.46259 | + | 2.22527i | −0.158541 | + | 0.101888i | ||||
\(478\) | −1.87996 | + | 13.0754i | −0.0859874 | + | 0.598056i | ||||
\(479\) | −7.24079 | − | 4.65337i | −0.330840 | − | 0.212618i | 0.364666 | − | 0.931138i | \(-0.381183\pi\) |
−0.695506 | + | 0.718521i | \(0.744820\pi\) | |||||||
\(480\) | −1.48208 | + | 1.71041i | −0.0676474 | + | 0.0780692i | ||||
\(481\) | 7.31396 | + | 2.14757i | 0.333488 | + | 0.0979209i | ||||
\(482\) | −8.64367 | −0.393708 | ||||||||
\(483\) | −2.87701 | + | 1.19695i | −0.130908 | + | 0.0544633i | ||||
\(484\) | −8.82016 | −0.400916 | ||||||||
\(485\) | −4.64764 | − | 1.36467i | −0.211038 | − | 0.0619664i | ||||
\(486\) | 12.1964 | − | 14.0754i | 0.553239 | − | 0.638471i | ||||
\(487\) | 27.5730 | + | 17.7201i | 1.24945 | + | 0.802974i | 0.986804 | − | 0.161918i | \(-0.0517681\pi\) |
0.262647 | + | 0.964892i | \(0.415404\pi\) | |||||||
\(488\) | 1.39606 | − | 9.70984i | 0.0631969 | − | 0.439544i | ||||
\(489\) | −27.7768 | + | 17.8511i | −1.25611 | + | 0.807254i | ||||
\(490\) | 2.87367 | + | 6.29245i | 0.129819 | + | 0.284264i | ||||
\(491\) | −22.6405 | − | 26.1285i | −1.02175 | − | 1.17916i | −0.983687 | − | 0.179888i | \(-0.942426\pi\) |
−0.0380640 | − | 0.999275i | \(-0.512119\pi\) | |||||||
\(492\) | 2.59616 | + | 18.0567i | 0.117044 | + | 0.814058i | ||||
\(493\) | 10.4128 | − | 22.8009i | 0.468970 | − | 1.02690i | ||||
\(494\) | −8.50324 | + | 2.49678i | −0.382579 | + | 0.112335i | ||||
\(495\) | −3.00617 | + | 0.882690i | −0.135117 | + | 0.0396740i | ||||
\(496\) | 0.0177114 | − | 0.0387827i | 0.000795267 | − | 0.00174139i | ||||
\(497\) | 0.145693 | + | 1.01332i | 0.00653522 | + | 0.0454534i | ||||
\(498\) | 14.4634 | + | 16.6916i | 0.648120 | + | 0.747970i | ||||
\(499\) | 12.1606 | + | 26.6279i | 0.544382 | + | 1.19203i | 0.959356 | + | 0.282198i | \(0.0910634\pi\) |
−0.414974 | + | 0.909833i | \(0.636209\pi\) | |||||||
\(500\) | 0.841254 | − | 0.540641i | 0.0376220 | − | 0.0241782i | ||||
\(501\) | 5.40857 | − | 37.6174i | 0.241637 | − | 1.68062i | ||||
\(502\) | −20.2982 | − | 13.0449i | −0.905955 | − | 0.582222i | ||||
\(503\) | 2.49220 | − | 2.87615i | 0.111122 | − | 0.128241i | −0.697464 | − | 0.716620i | \(-0.745688\pi\) |
0.808585 | + | 0.588379i | \(0.200234\pi\) | |||||||
\(504\) | −0.584549 | − | 0.171639i | −0.0260379 | − | 0.00764541i | ||||
\(505\) | 12.9575 | 0.576600 | ||||||||
\(506\) | −5.50640 | + | 4.45151i | −0.244789 | + | 0.197894i | ||||
\(507\) | 22.5716 | 1.00244 | ||||||||
\(508\) | 17.2561 | + | 5.06685i | 0.765616 | + | 0.224805i | ||||
\(509\) | −20.1841 | + | 23.2936i | −0.894642 | + | 1.03247i | 0.104637 | + | 0.994511i | \(0.466632\pi\) |
−0.999279 | + | 0.0379618i | \(0.987913\pi\) | |||||||
\(510\) | −9.50805 | − | 6.11045i | −0.421023 | − | 0.270575i | ||||
\(511\) | −0.477508 | + | 3.32114i | −0.0211237 | + | 0.146919i | ||||
\(512\) | −0.841254 | + | 0.540641i | −0.0371785 | + | 0.0238932i | ||||
\(513\) | −4.20462 | − | 9.20684i | −0.185639 | − | 0.406492i | ||||
\(514\) | −3.76427 | − | 4.34420i | −0.166035 | − | 0.191614i | ||||
\(515\) | −0.866930 | − | 6.02963i | −0.0382015 | − | 0.265697i | ||||
\(516\) | −3.68561 | + | 8.07036i | −0.162250 | + | 0.355278i | ||||
\(517\) | −7.02081 | + | 2.06150i | −0.308775 | + | 0.0906645i | ||||
\(518\) | 1.20695 | − | 0.354393i | 0.0530304 | − | 0.0155711i | ||||
\(519\) | 6.80540 | − | 14.9018i | 0.298724 | − | 0.654114i | ||||
\(520\) | 0.247590 | + | 1.72203i | 0.0108576 | + | 0.0755159i | ||||
\(521\) | −12.0177 | − | 13.8691i | −0.526504 | − | 0.607618i | 0.428744 | − | 0.903426i | \(-0.358956\pi\) |
−0.955247 | + | 0.295809i | \(0.904411\pi\) | |||||||
\(522\) | 4.42471 | + | 9.68876i | 0.193664 | + | 0.424065i | ||||
\(523\) | 9.91339 | − | 6.37095i | 0.433482 | − | 0.278582i | −0.305648 | − | 0.952145i | \(-0.598873\pi\) |
0.739130 | + | 0.673562i | \(0.235237\pi\) | |||||||
\(524\) | −0.517783 | + | 3.60126i | −0.0226194 | + | 0.157322i | ||||
\(525\) | 0.546600 | + | 0.351279i | 0.0238556 | + | 0.0153311i | ||||
\(526\) | 18.3440 | − | 21.1701i | 0.799836 | − | 0.923060i | ||||
\(527\) | 0.204294 | + | 0.0599861i | 0.00889919 | + | 0.00261304i | ||||
\(528\) | −3.34145 | −0.145418 | ||||||||
\(529\) | 4.81891 | − | 22.4895i | 0.209518 | − | 0.977805i | ||||
\(530\) | 1.93961 | 0.0842515 | ||||||||
\(531\) | −11.1048 | − | 3.26065i | −0.481906 | − | 0.141500i | ||||
\(532\) | −0.957699 | + | 1.10524i | −0.0415215 | + | 0.0479184i | ||||
\(533\) | 11.7969 | + | 7.58142i | 0.510981 | + | 0.328388i | ||||
\(534\) | 1.06214 | − | 7.38736i | 0.0459634 | − | 0.319683i | ||||
\(535\) | −12.9072 | + | 8.29497i | −0.558028 | + | 0.358623i | ||||
\(536\) | 2.80541 | + | 6.14299i | 0.121175 | + | 0.265337i | ||||
\(537\) | 21.2198 | + | 24.4890i | 0.915704 | + | 1.05678i | ||||
\(538\) | 0.435992 | + | 3.03239i | 0.0187969 | + | 0.130736i | ||||
\(539\) | −4.24276 | + | 9.29036i | −0.182749 | + | 0.400164i | ||||
\(540\) | −1.90646 | + | 0.559786i | −0.0820409 | + | 0.0240894i | ||||
\(541\) | 20.6662 | − | 6.06815i | 0.888511 | − | 0.260890i | 0.194541 | − | 0.980894i | \(-0.437678\pi\) |
0.693970 | + | 0.720004i | \(0.255860\pi\) | |||||||
\(542\) | −9.73167 | + | 21.3094i | −0.418011 | + | 0.915317i | ||||
\(543\) | −3.55384 | − | 24.7175i | −0.152510 | − | 1.06073i | ||||
\(544\) | −3.27033 | − | 3.77416i | −0.140214 | − | 0.161816i | ||||
\(545\) | 7.64583 | + | 16.7420i | 0.327512 | + | 0.717150i | ||||
\(546\) | −0.950941 | + | 0.611133i | −0.0406965 | + | 0.0261541i | ||||
\(547\) | −5.17715 | + | 36.0079i | −0.221359 | + | 1.53959i | 0.511547 | + | 0.859255i | \(0.329073\pi\) |
−0.732906 | + | 0.680330i | \(0.761836\pi\) | |||||||
\(548\) | 0.554896 | + | 0.356610i | 0.0237040 | + | 0.0152336i | ||||
\(549\) | −13.6321 | + | 15.7323i | −0.581804 | + | 0.671438i | ||||
\(550\) | 1.41662 | + | 0.415958i | 0.0604050 | + | 0.0177365i | ||||
\(551\) | 25.5684 | 1.08925 | ||||||||
\(552\) | 8.44068 | − | 6.82366i | 0.359259 | − | 0.290434i | ||||
\(553\) | −3.89714 | −0.165723 | ||||||||
\(554\) | 6.81508 | + | 2.00109i | 0.289545 | + | 0.0850181i | ||||
\(555\) | −6.49380 | + | 7.49424i | −0.275646 | + | 0.318113i | ||||
\(556\) | 0.402724 | + | 0.258815i | 0.0170793 | + | 0.0109762i | ||||
\(557\) | −4.21071 | + | 29.2861i | −0.178413 | + | 1.24089i | 0.682021 | + | 0.731332i | \(0.261101\pi\) |
−0.860435 | + | 0.509561i | \(0.829808\pi\) | |||||||
\(558\) | −0.0761127 | + | 0.0489147i | −0.00322211 | + | 0.00207072i | ||||
\(559\) | 2.83316 | + | 6.20374i | 0.119830 | + | 0.262390i | ||||
\(560\) | 0.188005 | + | 0.216969i | 0.00794466 | + | 0.00916863i | ||||
\(561\) | −2.37480 | − | 16.5171i | −0.100264 | − | 0.697353i | ||||
\(562\) | −3.37426 | + | 7.38859i | −0.142334 | + | 0.311669i | ||||
\(563\) | 8.97795 | − | 2.63616i | 0.378375 | − | 0.111101i | −0.0870140 | − | 0.996207i | \(-0.527732\pi\) |
0.465389 | + | 0.885106i | \(0.345914\pi\) | |||||||
\(564\) | 10.7621 | − | 3.16004i | 0.453166 | − | 0.133062i | ||||
\(565\) | −4.95938 | + | 10.8595i | −0.208643 | + | 0.456864i | ||||
\(566\) | 1.99738 | + | 13.8921i | 0.0839563 | + | 0.583929i | ||||
\(567\) | −2.04231 | − | 2.35695i | −0.0857688 | − | 0.0989825i | ||||
\(568\) | −1.48132 | − | 3.24364i | −0.0621549 | − | 0.136100i | ||||
\(569\) | 28.5864 | − | 18.3714i | 1.19840 | − | 0.770168i | 0.219725 | − | 0.975562i | \(-0.429484\pi\) |
0.978679 | + | 0.205394i | \(0.0658477\pi\) | |||||||
\(570\) | 1.64071 | − | 11.4114i | 0.0687218 | − | 0.477971i | ||||
\(571\) | −7.30488 | − | 4.69456i | −0.305700 | − | 0.196461i | 0.378792 | − | 0.925482i | \(-0.376340\pi\) |
−0.684492 | + | 0.729020i | \(0.739976\pi\) | |||||||
\(572\) | −1.68207 | + | 1.94122i | −0.0703310 | + | 0.0811664i | ||||
\(573\) | 28.4126 | + | 8.34269i | 1.18695 | + | 0.348521i | ||||
\(574\) | 2.31408 | 0.0965880 | ||||||||
\(575\) | −4.42790 | + | 1.84219i | −0.184656 | + | 0.0768246i | ||||
\(576\) | 2.12206 | 0.0884193 | ||||||||
\(577\) | 28.3197 | + | 8.31543i | 1.17897 | + | 0.346176i | 0.811775 | − | 0.583970i | \(-0.198501\pi\) |
0.367191 | + | 0.930146i | \(0.380320\pi\) | |||||||
\(578\) | 5.19912 | − | 6.00011i | 0.216255 | − | 0.249572i | ||||
\(579\) | −5.95279 | − | 3.82562i | −0.247389 | − | 0.158987i | ||||
\(580\) | 0.714322 | − | 4.96822i | 0.0296606 | − | 0.206294i | ||||
\(581\) | 2.35693 | − | 1.51470i | 0.0977818 | − | 0.0628405i | ||||
\(582\) | 4.55402 | + | 9.97192i | 0.188770 | + | 0.413349i | ||||
\(583\) | 1.87533 | + | 2.16424i | 0.0776681 | + | 0.0896338i | ||||
\(584\) | −1.66326 | − | 11.5682i | −0.0688262 | − | 0.478697i | ||||
\(585\) | 1.53364 | − | 3.35821i | 0.0634083 | − | 0.138845i | ||||
\(586\) | 15.2982 | − | 4.49196i | 0.631963 | − | 0.185561i | ||||
\(587\) | −8.03553 | + | 2.35944i | −0.331662 | + | 0.0973847i | −0.443324 | − | 0.896362i | \(-0.646201\pi\) |
0.111662 | + | 0.993746i | \(0.464383\pi\) | |||||||
\(588\) | 6.50367 | − | 14.2411i | 0.268207 | − | 0.587291i | ||||
\(589\) | 0.0309087 | + | 0.214975i | 0.00127357 | + | 0.00885789i | ||||
\(590\) | 3.57156 | + | 4.12180i | 0.147039 | + | 0.169692i | ||||
\(591\) | 24.6611 | + | 54.0003i | 1.01442 | + | 2.22127i | ||||
\(592\) | −3.68599 | + | 2.36884i | −0.151493 | + | 0.0973588i | ||||
\(593\) | 5.51166 | − | 38.3345i | 0.226337 | − | 1.57421i | −0.487010 | − | 0.873396i | \(-0.661913\pi\) |
0.713347 | − | 0.700811i | \(-0.247178\pi\) | |||||||
\(594\) | −2.46789 | − | 1.58601i | −0.101259 | − | 0.0650749i | ||||
\(595\) | −0.938883 | + | 1.08353i | −0.0384905 | + | 0.0444204i | ||||
\(596\) | −18.8793 | − | 5.54346i | −0.773327 | − | 0.227069i | ||||
\(597\) | 7.21255 | 0.295190 | ||||||||
\(598\) | 0.284801 | − | 8.33862i | 0.0116464 | − | 0.340992i | ||||
\(599\) | −13.0692 | −0.533994 | −0.266997 | − | 0.963697i | \(-0.586031\pi\) | ||||
−0.266997 | + | 0.963697i | \(0.586031\pi\) | |||||||
\(600\) | −2.17152 | − | 0.637616i | −0.0886520 | − | 0.0260306i | ||||
\(601\) | −6.59637 | + | 7.61262i | −0.269072 | + | 0.310525i | −0.874165 | − | 0.485630i | \(-0.838590\pi\) |
0.605093 | + | 0.796155i | \(0.293136\pi\) | |||||||
\(602\) | 0.946787 | + | 0.608463i | 0.0385881 | + | 0.0247991i | ||||
\(603\) | 2.03949 | − | 14.1850i | 0.0830546 | − | 0.577658i | ||||
\(604\) | 10.4586 | − | 6.72131i | 0.425553 | − | 0.273486i | ||||
\(605\) | −3.66403 | − | 8.02310i | −0.148964 | − | 0.326185i | ||||
\(606\) | −19.2040 | − | 22.1626i | −0.780109 | − | 0.900294i | ||||
\(607\) | −0.206928 | − | 1.43922i | −0.00839895 | − | 0.0584160i | 0.985191 | − | 0.171461i | \(-0.0548487\pi\) |
−0.993590 | + | 0.113045i | \(0.963940\pi\) | |||||||
\(608\) | 2.11613 | − | 4.63367i | 0.0858203 | − | 0.187920i | ||||
\(609\) | 3.12917 | − | 0.918806i | 0.126800 | − | 0.0372319i | ||||
\(610\) | 9.41233 | − | 2.76371i | 0.381094 | − | 0.111899i | ||||
\(611\) | 3.58178 | − | 7.84299i | 0.144903 | − | 0.317294i | ||||
\(612\) | 1.50817 | + | 10.4896i | 0.0609642 | + | 0.424015i | ||||
\(613\) | −10.0895 | − | 11.6439i | −0.407511 | − | 0.470293i | 0.514481 | − | 0.857502i | \(-0.327985\pi\) |
−0.921992 | + | 0.387209i | \(0.873439\pi\) | |||||||
\(614\) | −8.53875 | − | 18.6973i | −0.344596 | − | 0.754560i | ||||
\(615\) | −15.3464 | + | 9.86256i | −0.618828 | + | 0.397697i | ||||
\(616\) | −0.0603231 | + | 0.419556i | −0.00243049 | + | 0.0169044i | ||||
\(617\) | 16.1976 | + | 10.4096i | 0.652091 | + | 0.419074i | 0.824430 | − | 0.565964i | \(-0.191496\pi\) |
−0.172339 | + | 0.985038i | \(0.555132\pi\) | |||||||
\(618\) | −9.02829 | + | 10.4192i | −0.363171 | + | 0.419122i | ||||
\(619\) | 19.1146 | + | 5.61255i | 0.768281 | + | 0.225588i | 0.642308 | − | 0.766446i | \(-0.277977\pi\) |
0.125972 | + | 0.992034i | \(0.459795\pi\) | |||||||
\(620\) | 0.0426355 | 0.00171228 | ||||||||
\(621\) | 9.47284 | − | 1.03338i | 0.380132 | − | 0.0414679i | ||||
\(622\) | −8.60372 | −0.344978 | ||||||||
\(623\) | −0.908391 | − | 0.266728i | −0.0363939 | − | 0.0106862i | ||||
\(624\) | 2.57843 | − | 2.97566i | 0.103220 | − | 0.119122i | ||||
\(625\) | 0.841254 | + | 0.540641i | 0.0336501 | + | 0.0216256i | ||||
\(626\) | −1.51140 | + | 10.5120i | −0.0604078 | + | 0.420145i | ||||
\(627\) | 14.3193 | − | 9.20245i | 0.571857 | − | 0.367510i | ||||
\(628\) | −6.49515 | − | 14.2224i | −0.259185 | − | 0.567535i | ||||
\(629\) | −14.3291 | − | 16.5366i | −0.571338 | − | 0.659359i | ||||
\(630\) | −0.0867020 | − | 0.603026i | −0.00345429 | − | 0.0240251i | ||||
\(631\) | 13.8396 | − | 30.3046i | 0.550948 | − | 1.20641i | −0.405390 | − | 0.914144i | \(-0.632864\pi\) |
0.956338 | − | 0.292263i | \(-0.0944084\pi\) | |||||||
\(632\) | 13.0247 | − | 3.82439i | 0.518094 | − | 0.152126i | ||||
\(633\) | −56.2099 | + | 16.5047i | −2.23414 | + | 0.656003i | ||||
\(634\) | −7.83831 | + | 17.1635i | −0.311299 | + | 0.681650i | ||||
\(635\) | 2.55948 | + | 17.8016i | 0.101570 | + | 0.706433i | ||||
\(636\) | −2.87466 | − | 3.31754i | −0.113988 | − | 0.131549i | ||||
\(637\) | −4.99942 | − | 10.9472i | −0.198084 | − | 0.433744i | ||||
\(638\) | 6.23424 | − | 4.00650i | 0.246816 | − | 0.158619i | ||||
\(639\) | −1.07690 | + | 7.49002i | −0.0426016 | + | 0.296300i | ||||
\(640\) | −0.841254 | − | 0.540641i | −0.0332535 | − | 0.0213707i | ||||
\(641\) | 22.5523 | − | 26.0267i | 0.890761 | − | 1.02799i | −0.108663 | − | 0.994079i | \(-0.534657\pi\) |
0.999425 | − | 0.0339148i | \(-0.0107975\pi\) | |||||||
\(642\) | 33.3173 | + | 9.78285i | 1.31493 | + | 0.386098i | ||||
\(643\) | −19.8518 | −0.782880 | −0.391440 | − | 0.920204i | \(-0.628023\pi\) | ||||
−0.391440 | + | 0.920204i | \(0.628023\pi\) | |||||||
\(644\) | −0.704407 | − | 1.18301i | −0.0277575 | − | 0.0466171i | ||||
\(645\) | −8.87212 | −0.349339 | ||||||||
\(646\) | 24.4086 | + | 7.16702i | 0.960344 | + | 0.281982i | ||||
\(647\) | 8.58172 | − | 9.90383i | 0.337382 | − | 0.389360i | −0.561554 | − | 0.827440i | \(-0.689796\pi\) |
0.898936 | + | 0.438081i | \(0.144342\pi\) | |||||||
\(648\) | 9.13857 | + | 5.87300i | 0.358997 | + | 0.230713i | ||||
\(649\) | −1.14597 | + | 7.97037i | −0.0449831 | + | 0.312864i | ||||
\(650\) | −1.46356 | + | 0.940573i | −0.0574055 | + | 0.0368923i | ||||
\(651\) | 0.0115079 | + | 0.0251988i | 0.000451031 | + | 0.000987621i | ||||
\(652\) | −9.55394 | − | 11.0258i | −0.374161 | − | 0.431805i | ||||
\(653\) | −4.87559 | − | 33.9105i | −0.190796 | − | 1.32702i | −0.829906 | − | 0.557903i | \(-0.811606\pi\) |
0.639110 | − | 0.769116i | \(-0.279303\pi\) | |||||||
\(654\) | 17.3040 | − | 37.8905i | 0.676641 | − | 1.48164i | ||||
\(655\) | −3.49091 | + | 1.02502i | −0.136401 | + | 0.0400510i | ||||
\(656\) | −7.73393 | + | 2.27089i | −0.301959 | + | 0.0886632i | ||||
\(657\) | −10.3027 | + | 22.5597i | −0.401946 | + | 0.880139i | ||||
\(658\) | −0.202490 | − | 1.40835i | −0.00789388 | − | 0.0549031i | ||||
\(659\) | −31.0967 | − | 35.8875i | −1.21136 | − | 1.39798i | −0.893030 | − | 0.449998i | \(-0.851425\pi\) |
−0.318326 | − | 0.947981i | \(-0.603121\pi\) | |||||||
\(660\) | −1.38809 | − | 3.03949i | −0.0540313 | − | 0.118312i | ||||
\(661\) | 6.69851 | − | 4.30487i | 0.260542 | − | 0.167440i | −0.403848 | − | 0.914826i | \(-0.632328\pi\) |
0.664390 | + | 0.747386i | \(0.268691\pi\) | |||||||
\(662\) | 0.0695067 | − | 0.483430i | 0.00270146 | − | 0.0187890i | ||||
\(663\) | 16.5415 | + | 10.6306i | 0.642419 | + | 0.412857i | ||||
\(664\) | −6.39069 | + | 7.37525i | −0.248007 | + | 0.286215i | ||||
\(665\) | −1.40321 | − | 0.412019i | −0.0544140 | − | 0.0159774i | ||||
\(666\) | 9.29792 | 0.360287 | ||||||||
\(667\) | −7.56624 | + | 22.8517i | −0.292966 | + | 0.884823i | ||||
\(668\) | 16.7923 | 0.649713 | ||||||||
\(669\) | 11.7885 | + | 3.46143i | 0.455771 | + | 0.133827i | ||||
\(670\) | −4.42245 | + | 5.10378i | −0.170854 | + | 0.197176i | ||||
\(671\) | 12.1841 | + | 7.83027i | 0.470364 | + | 0.302284i | ||||
\(672\) | 0.0924684 | − | 0.643132i | 0.00356705 | − | 0.0248093i | ||||
\(673\) | −2.50205 | + | 1.60797i | −0.0964469 | + | 0.0619827i | −0.587975 | − | 0.808879i | \(-0.700075\pi\) |
0.491528 | + | 0.870862i | \(0.336438\pi\) | |||||||
\(674\) | 14.7612 | + | 32.3226i | 0.568582 | + | 1.24502i | ||||
\(675\) | −1.30117 | − | 1.50163i | −0.0500821 | − | 0.0577978i | ||||
\(676\) | 1.41935 | + | 9.87180i | 0.0545904 | + | 0.379685i | ||||
\(677\) | 4.64476 | − | 10.1706i | 0.178513 | − | 0.390888i | −0.799131 | − | 0.601157i | \(-0.794707\pi\) |
0.977644 | + | 0.210269i | \(0.0674339\pi\) | |||||||
\(678\) | 25.9245 | − | 7.61211i | 0.995623 | − | 0.292341i | ||||
\(679\) | 1.33430 | − | 0.391785i | 0.0512057 | − | 0.0150353i | ||||
\(680\) | 2.07455 | − | 4.54263i | 0.0795554 | − | 0.174202i | ||||
\(681\) | −2.57799 | − | 17.9303i | −0.0987887 | − | 0.687090i | ||||
\(682\) | 0.0412224 | + | 0.0475732i | 0.00157849 | + | 0.00182167i | ||||
\(683\) | −0.113633 | − | 0.248821i | −0.00434804 | − | 0.00952089i | 0.907446 | − | 0.420170i | \(-0.138029\pi\) |
−0.911794 | + | 0.410649i | \(0.865302\pi\) | |||||||
\(684\) | −9.09379 | + | 5.84422i | −0.347710 | + | 0.223459i | ||||
\(685\) | −0.0938717 | + | 0.652892i | −0.00358665 | + | 0.0249457i | ||||
\(686\) | −3.36133 | − | 2.16020i | −0.128336 | − | 0.0824767i | ||||
\(687\) | −38.5497 | + | 44.4888i | −1.47076 | + | 1.69735i | ||||
\(688\) | −3.76137 | − | 1.10444i | −0.143401 | − | 0.0421063i | ||||
\(689\) | −3.37442 | −0.128555 | ||||||||
\(690\) | 9.71341 | + | 4.84326i | 0.369783 | + | 0.184380i | ||||
\(691\) | 22.5420 | 0.857537 | 0.428768 | − | 0.903414i | \(-0.358948\pi\) | ||||
0.428768 | + | 0.903414i | \(0.358948\pi\) | |||||||
\(692\) | 6.94530 | + | 2.03932i | 0.264021 | + | 0.0775235i | ||||
\(693\) | 0.589035 | − | 0.679782i | 0.0223756 | − | 0.0258228i | ||||
\(694\) | −29.0041 | − | 18.6398i | −1.10098 | − | 0.707558i | ||||
\(695\) | −0.0681288 | + | 0.473846i | −0.00258427 | + | 0.0179740i | ||||
\(696\) | −9.55638 | + | 6.14151i | −0.362234 | + | 0.232793i | ||||
\(697\) | −16.7218 | − | 36.6156i | −0.633383 | − | 1.38691i | ||||
\(698\) | 6.57304 | + | 7.58570i | 0.248793 | + | 0.287123i | ||||
\(699\) | 8.43060 | + | 58.6361i | 0.318875 | + | 2.21782i | ||||
\(700\) | −0.119262 | + | 0.261148i | −0.00450769 | + | 0.00987046i | ||||
\(701\) | −36.2040 | + | 10.6304i | −1.36740 | + | 0.401506i | −0.881367 | − | 0.472432i | \(-0.843376\pi\) |
−0.486038 | + | 0.873938i | \(0.661558\pi\) | |||||||
\(702\) | 3.31673 | − | 0.973881i | 0.125182 | − | 0.0367568i | ||||
\(703\) | 9.27190 | − | 20.3026i | 0.349696 | − | 0.765728i | ||||
\(704\) | −0.210118 | − | 1.46140i | −0.00791911 | − | 0.0550786i | ||||
\(705\) | 7.34521 | + | 8.47682i | 0.276637 | + | 0.319256i | ||||
\(706\) | 2.30662 | + | 5.05080i | 0.0868108 | + | 0.190089i | ||||
\(707\) | −3.12945 | + | 2.01117i | −0.117695 | + | 0.0756380i | ||||
\(708\) | 1.75664 | − | 12.2177i | 0.0660184 | − | 0.459168i | ||||
\(709\) | −20.3124 | − | 13.0540i | −0.762850 | − | 0.490254i | 0.100452 | − | 0.994942i | \(-0.467971\pi\) |
−0.863302 | + | 0.504688i | \(0.831607\pi\) | |||||||
\(710\) | 2.33516 | − | 2.69492i | 0.0876369 | − | 0.101138i | ||||
\(711\) | −27.6392 | − | 8.11561i | −1.03655 | − | 0.304359i | ||||
\(712\) | 3.29769 | 0.123586 | ||||||||
\(713\) | −0.201280 | − | 0.0359911i | −0.00753801 | − | 0.00134788i | ||||
\(714\) | 3.24478 | 0.121433 | ||||||||
\(715\) | −2.46455 | − | 0.723658i | −0.0921690 | − | 0.0270633i | ||||
\(716\) | −9.37604 | + | 10.8205i | −0.350399 | + | 0.404382i | ||||
\(717\) | 25.1506 | + | 16.1633i | 0.939266 | + | 0.603629i | ||||
\(718\) | −1.36621 | + | 9.50222i | −0.0509866 | + | 0.354620i | ||||
\(719\) | 5.61225 | − | 3.60677i | 0.209302 | − | 0.134510i | −0.431791 | − | 0.901974i | \(-0.642118\pi\) |
0.641092 | + | 0.767464i | \(0.278482\pi\) | |||||||
\(720\) | 0.881537 | + | 1.93030i | 0.0328530 | + | 0.0719379i | ||||
\(721\) | 1.14526 | + | 1.32170i | 0.0426517 | + | 0.0492226i | ||||
\(722\) | 0.988930 | + | 6.87816i | 0.0368042 | + | 0.255979i | ||||
\(723\) | −8.12648 | + | 17.7945i | −0.302227 | + | 0.661785i | ||||
\(724\) | 10.5869 | − | 3.10858i | 0.393458 | − | 0.115530i | ||||
\(725\) | 4.81599 | − | 1.41410i | 0.178861 | − | 0.0525185i | ||||
\(726\) | −8.29241 | + | 18.1579i | −0.307760 | + | 0.673901i | ||||
\(727\) | −5.27497 | − | 36.6882i | −0.195638 | − | 1.36069i | −0.816760 | − | 0.576977i | \(-0.804232\pi\) |
0.621122 | − | 0.783714i | \(-0.286677\pi\) | |||||||
\(728\) | −0.327079 | − | 0.377470i | −0.0121224 | − | 0.0139900i | ||||
\(729\) | −3.97200 | − | 8.69747i | −0.147111 | − | 0.322129i | ||||
\(730\) | 9.83188 | − | 6.31857i | 0.363894 | − | 0.233861i | ||||
\(731\) | 2.78610 | − | 19.3778i | 0.103048 | − | 0.716712i | ||||
\(732\) | −18.6769 | − | 12.0029i | −0.690318 | − | 0.443640i | ||||
\(733\) | −18.2641 | + | 21.0779i | −0.674601 | + | 0.778531i | −0.985089 | − | 0.172046i | \(-0.944962\pi\) |
0.310488 | + | 0.950577i | \(0.399508\pi\) | |||||||
\(734\) | 16.4012 | + | 4.81583i | 0.605380 | + | 0.177756i | ||||
\(735\) | 15.6558 | 0.577475 | ||||||||
\(736\) | 3.51513 | + | 3.26249i | 0.129570 | + | 0.120257i | ||||
\(737\) | −9.97072 | −0.367276 | ||||||||
\(738\) | 16.4119 | + | 4.81897i | 0.604130 | + | 0.177389i | ||||
\(739\) | 25.6477 | − | 29.5990i | 0.943465 | − | 1.08882i | −0.0524588 | − | 0.998623i | \(-0.516706\pi\) |
0.995924 | − | 0.0901940i | \(-0.0287487\pi\) | |||||||
\(740\) | −3.68599 | − | 2.36884i | −0.135500 | − | 0.0870804i | ||||
\(741\) | −2.85440 | + | 19.8528i | −0.104859 | + | 0.729312i | ||||
\(742\) | −0.468450 | + | 0.301054i | −0.0171973 | + | 0.0110521i | ||||
\(743\) | 7.23493 | + | 15.8423i | 0.265424 | + | 0.581197i | 0.994676 | − | 0.103047i | \(-0.0328594\pi\) |
−0.729253 | + | 0.684245i | \(0.760132\pi\) | |||||||
\(744\) | −0.0631893 | − | 0.0729243i | −0.00231663 | − | 0.00267353i | ||||
\(745\) | −2.80023 | − | 19.4761i | −0.102593 | − | 0.713548i | ||||
\(746\) | 1.21564 | − | 2.66189i | 0.0445078 | − | 0.0974586i | ||||
\(747\) | 19.8700 | − | 5.83437i | 0.727007 | − | 0.213468i | ||||
\(748\) | 7.07451 | − | 2.07726i | 0.258670 | − | 0.0759523i | ||||
\(749\) | 1.82982 | − | 4.00675i | 0.0668602 | − | 0.146403i | ||||
\(750\) | −0.322087 | − | 2.24016i | −0.0117609 | − | 0.0817991i | ||||
\(751\) | 14.6481 | + | 16.9049i | 0.534518 | + | 0.616867i | 0.957206 | − | 0.289408i | \(-0.0934586\pi\) |
−0.422687 | + | 0.906276i | \(0.638913\pi\) | |||||||
\(752\) | 2.05880 | + | 4.50815i | 0.0750768 | + | 0.164395i | ||||
\(753\) | −45.9389 | + | 29.5232i | −1.67411 | + | 1.07588i | ||||
\(754\) | −1.24273 | + | 8.64339i | −0.0452576 | + | 0.314774i | ||||
\(755\) | 10.4586 | + | 6.72131i | 0.380626 | + | 0.244613i | ||||
\(756\) | 0.373555 | − | 0.431106i | 0.0135861 | − | 0.0156792i | ||||
\(757\) | 27.6379 | + | 8.11522i | 1.00452 | + | 0.294953i | 0.742308 | − | 0.670058i | \(-0.233731\pi\) |
0.262209 | + | 0.965011i | \(0.415549\pi\) | |||||||
\(758\) | 5.01053 | 0.181991 | ||||||||
\(759\) | 3.98730 | + | 15.5211i | 0.144730 | + | 0.563379i | ||||
\(760\) | 5.09401 | 0.184779 | ||||||||
\(761\) | 3.35853 | + | 0.986155i | 0.121747 | + | 0.0357481i | 0.342038 | − | 0.939686i | \(-0.388883\pi\) |
−0.220292 | + | 0.975434i | \(0.570701\pi\) | |||||||
\(762\) | 26.6546 | − | 30.7611i | 0.965595 | − | 1.11436i | ||||
\(763\) | −4.44519 | − | 2.85675i | −0.160927 | − | 0.103421i | ||||
\(764\) | −1.86207 | + | 12.9510i | −0.0673674 | + | 0.468551i | ||||
\(765\) | −8.91512 | + | 5.72940i | −0.322327 | + | 0.207147i | ||||
\(766\) | −4.00117 | − | 8.76134i | −0.144568 | − | 0.316560i | ||||
\(767\) | −6.21357 | − | 7.17084i | −0.224359 | − | 0.258924i | ||||
\(768\) | 0.322087 | + | 2.24016i | 0.0116223 | + | 0.0808349i | ||||
\(769\) | 2.10006 | − | 4.59848i | 0.0757299 | − | 0.165825i | −0.867980 | − | 0.496598i | \(-0.834582\pi\) |
0.943710 | + | 0.330773i | \(0.107309\pi\) | |||||||
\(770\) | −0.406701 | + | 0.119418i | −0.0146565 | + | 0.00430353i | ||||
\(771\) | −12.4823 | + | 3.66515i | −0.449541 | + | 0.131997i | ||||
\(772\) | 1.29883 | − | 2.84405i | 0.0467460 | − | 0.102359i | ||||
\(773\) | −1.80195 | − | 12.5328i | −0.0648115 | − | 0.450774i | −0.996225 | − | 0.0868106i | \(-0.972333\pi\) |
0.931413 | − | 0.363963i | \(-0.118577\pi\) | |||||||
\(774\) | 5.44769 | + | 6.28697i | 0.195813 | + | 0.225980i | ||||
\(775\) | 0.0177114 | + | 0.0387827i | 0.000636214 | + | 0.00139311i | ||||
\(776\) | −4.07490 | + | 2.61878i | −0.146281 | + | 0.0940088i | ||||
\(777\) | 0.405154 | − | 2.81791i | 0.0145348 | − | 0.101092i | ||||
\(778\) | 3.48715 | + | 2.24106i | 0.125020 | + | 0.0803458i | ||||
\(779\) | 26.8885 | − | 31.0310i | 0.963381 | − | 1.11180i | ||||
\(780\) | 3.77788 | + | 1.10928i | 0.135270 | + | 0.0397188i | ||||
\(781\) | 5.26478 | 0.188389 | ||||||||
\(782\) | −13.6286 | + | 19.6943i | −0.487356 | + | 0.704267i | ||||
\(783\) | −9.97308 | −0.356409 | ||||||||
\(784\) | 6.63737 | + | 1.94891i | 0.237049 | + | 0.0696038i | ||||
\(785\) | 10.2390 | − | 11.8164i | 0.365444 | − | 0.421745i | ||||
\(786\) | 6.92702 | + | 4.45173i | 0.247079 | + | 0.158788i | ||||
\(787\) | 5.32360 | − | 37.0265i | 0.189766 | − | 1.31985i | −0.642847 | − | 0.765995i | \(-0.722247\pi\) |
0.832613 | − | 0.553856i | \(-0.186844\pi\) | |||||||
\(788\) | −22.0666 | + | 14.1813i | −0.786089 | + | 0.505188i | ||||
\(789\) | −26.3360 | − | 57.6678i | −0.937586 | − | 2.05303i | ||||
\(790\) | 8.88944 | + | 10.2590i | 0.316272 | + | 0.364998i | ||||
\(791\) | −0.487771 | − | 3.39252i | −0.0173432 | − | 0.120624i | ||||
\(792\) | −1.30153 | + | 2.84995i | −0.0462478 | + | 0.101268i | ||||
\(793\) | −16.3750 | + | 4.80813i | −0.581492 | + | 0.170742i | ||||
\(794\) | 33.2500 | − | 9.76307i | 1.18000 | − | 0.346478i | ||||
\(795\) | 1.82356 | − | 3.99304i | 0.0646750 | − | 0.141619i | ||||
\(796\) | 0.453541 | + | 3.15445i | 0.0160753 | + | 0.111806i | ||||
\(797\) | −31.0317 | − | 35.8124i | −1.09920 | − | 1.26854i | −0.960522 | − | 0.278204i | \(-0.910261\pi\) |
−0.138676 | − | 0.990338i | \(-0.544285\pi\) | |||||||
\(798\) | 1.37494 | + | 3.01071i | 0.0486725 | + | 0.106578i | ||||
\(799\) | −20.8210 | + | 13.3808i | −0.736594 | + | 0.473380i | ||||
\(800\) | 0.142315 | − | 0.989821i | 0.00503159 | − | 0.0349955i | ||||
\(801\) | −5.88702 | − | 3.78336i | −0.208008 | − | 0.133678i | ||||
\(802\) | −11.6818 | + | 13.4815i | −0.412499 | + | 0.476049i | ||||
\(803\) | 16.5563 | + | 4.86138i | 0.584261 | + | 0.171554i | ||||
\(804\) | 15.2840 | 0.539024 | ||||||||
\(805\) | 0.783481 | − | 1.13219i | 0.0276141 | − | 0.0399045i | ||||
\(806\) | −0.0741746 | −0.00261269 | ||||||||
\(807\) | 6.65261 | + | 1.95338i | 0.234183 | + | 0.0687624i | ||||
\(808\) | 8.48534 | − | 9.79261i | 0.298513 | − | 0.344503i | ||||
\(809\) | 17.9051 | + | 11.5069i | 0.629509 | + | 0.404561i | 0.816128 | − | 0.577871i | \(-0.196116\pi\) |
−0.186618 | + | 0.982432i | \(0.559753\pi\) | |||||||
\(810\) | −1.54597 | + | 10.7525i | −0.0543199 | + | 0.377803i | ||||
\(811\) | −36.3358 | + | 23.3516i | −1.27592 | + | 0.819985i | −0.990379 | − | 0.138381i | \(-0.955810\pi\) |
−0.285543 | + | 0.958366i | \(0.592174\pi\) | |||||||
\(812\) | 0.598614 | + | 1.31078i | 0.0210072 | + | 0.0459994i | ||||
\(813\) | 34.7198 | + | 40.0687i | 1.21768 | + | 1.40527i | ||||
\(814\) | −0.920641 | − | 6.40320i | −0.0322684 | − | 0.224432i | ||||
\(815\) | 6.06060 | − | 13.2709i | 0.212294 | − | 0.464858i | ||||
\(816\) | −10.8444 | + | 3.18421i | −0.379631 | + | 0.111470i | ||||
\(817\) | 19.1605 | − | 5.62602i | 0.670340 | − | 0.196829i | ||||
\(818\) | −8.55895 | + | 18.7415i | −0.299257 | + | 0.655281i | ||||
\(819\) | 0.150839 | + | 1.04911i | 0.00527073 | + | 0.0366587i | ||||
\(820\) | −5.27846 | − | 6.09167i | −0.184332 | − | 0.212730i | ||||
\(821\) | 20.9431 | + | 45.8590i | 0.730920 | + | 1.60049i | 0.797938 | + | 0.602739i | \(0.205924\pi\) |
−0.0670188 | + | 0.997752i | \(0.521349\pi\) | |||||||
\(822\) | 1.25584 | − | 0.807079i | 0.0438024 | − | 0.0281501i | ||||
\(823\) | 2.43194 | − | 16.9145i | 0.0847719 | − | 0.589602i | −0.902516 | − | 0.430657i | \(-0.858282\pi\) |
0.987288 | − | 0.158945i | \(-0.0508091\pi\) | |||||||
\(824\) | −5.12461 | − | 3.29339i | −0.178524 | − | 0.114731i | ||||
\(825\) | 2.18819 | − | 2.52530i | 0.0761828 | − | 0.0879197i | ||||
\(826\) | −1.50235 | − | 0.441130i | −0.0522735 | − | 0.0153489i | ||||
\(827\) | −36.5200 | −1.26993 | −0.634963 | − | 0.772543i | \(-0.718985\pi\) | ||||
−0.634963 | + | 0.772543i | \(0.718985\pi\) | |||||||
\(828\) | −2.53222 | − | 9.85700i | −0.0880008 | − | 0.342554i | ||||
\(829\) | −46.9819 | −1.63175 | −0.815874 | − | 0.578229i | \(-0.803744\pi\) | ||||
−0.815874 | + | 0.578229i | \(0.803744\pi\) | |||||||
\(830\) | −9.36355 | − | 2.74939i | −0.325013 | − | 0.0954326i | ||||
\(831\) | 10.5269 | − | 12.1487i | 0.365174 | − | 0.421433i | ||||
\(832\) | 1.46356 | + | 0.940573i | 0.0507398 | + | 0.0326085i | ||||
\(833\) | −4.91639 | + | 34.1942i | −0.170343 | + | 1.18476i | ||||
\(834\) | 0.911444 | − | 0.585750i | 0.0315607 | − | 0.0202828i | ||||
\(835\) | 6.97577 | + | 15.2748i | 0.241406 | + | 0.528606i | ||||
\(836\) | 4.92517 | + | 5.68395i | 0.170340 | + | 0.196583i | ||||
\(837\) | −0.0120561 | − | 0.0838521i | −0.000416720 | − | 0.00289835i | ||||
\(838\) | 15.5770 | − | 34.1088i | 0.538097 | − | 1.17827i | ||||
\(839\) | 52.9760 | − | 15.5552i | 1.82894 | − | 0.537024i | 0.829177 | − | 0.558986i | \(-0.188809\pi\) |
0.999759 | + | 0.0219620i | \(0.00699128\pi\) | |||||||
\(840\) | 0.623426 | − | 0.183054i | 0.0215102 | − | 0.00631598i | ||||
\(841\) | −1.58129 | + | 3.46255i | −0.0545274 | + | 0.119398i | ||||
\(842\) | 0.314655 | + | 2.18847i | 0.0108437 | + | 0.0754198i | ||||
\(843\) | 12.0384 | + | 13.8930i | 0.414623 | + | 0.478501i | ||||
\(844\) | −10.7530 | − | 23.5458i | −0.370134 | − | 0.810481i | ||||
\(845\) | −8.39009 | + | 5.39198i | −0.288628 | + | 0.185490i | ||||
\(846\) | 1.49672 | − | 10.4099i | 0.0514584 | − | 0.357901i | ||||
\(847\) | 2.13022 | + | 1.36901i | 0.0731951 | + | 0.0470396i | ||||
\(848\) | 1.27018 | − | 1.46586i | 0.0436181 | − | 0.0503379i | ||||
\(849\) | 30.4772 | + | 8.94893i | 1.04598 | + | 0.307126i | ||||
\(850\) | 4.99392 | 0.171290 | ||||||||
\(851\) | 15.4017 | + | 14.2947i | 0.527964 | + | 0.490018i | ||||
\(852\) | −8.07030 | −0.276484 | ||||||||
\(853\) | −5.78665 | − | 1.69912i | −0.198131 | − | 0.0581766i | 0.181161 | − | 0.983453i | \(-0.442014\pi\) |
−0.379293 | + | 0.925277i | \(0.623833\pi\) | |||||||
\(854\) | −1.84427 | + | 2.12840i | −0.0631097 | + | 0.0728325i | ||||
\(855\) | −9.09379 | − | 5.84422i | −0.311001 | − | 0.199868i | ||||
\(856\) | −2.18351 | + | 15.1867i | −0.0746310 | + | 0.519070i | ||||
\(857\) | 2.16045 | − | 1.38844i | 0.0737997 | − | 0.0474282i | −0.503221 | − | 0.864158i | \(-0.667852\pi\) |
0.577020 | + | 0.816730i | \(0.304215\pi\) | |||||||
\(858\) | 2.41491 | + | 5.28791i | 0.0824436 | + | 0.180526i | ||||
\(859\) | 7.64726 | + | 8.82541i | 0.260921 | + | 0.301119i | 0.871061 | − | 0.491175i | \(-0.163432\pi\) |
−0.610140 | + | 0.792294i | \(0.708887\pi\) | |||||||
\(860\) | −0.557898 | − | 3.88027i | −0.0190242 | − | 0.132316i | ||||
\(861\) | 2.17562 | − | 4.76395i | 0.0741450 | − | 0.162355i | ||||
\(862\) | −4.03181 | + | 1.18385i | −0.137324 | + | 0.0403220i | ||||
\(863\) | −28.4413 | + | 8.35111i | −0.968151 | + | 0.284275i | −0.727325 | − | 0.686293i | \(-0.759237\pi\) |
−0.240827 | + | 0.970568i | \(0.577418\pi\) | |||||||
\(864\) | −0.825406 | + | 1.80739i | −0.0280809 | + | 0.0614885i | ||||
\(865\) | 1.03015 | + | 7.16483i | 0.0350261 | + | 0.243612i | ||||
\(866\) | 2.68160 | + | 3.09474i | 0.0911246 | + | 0.105163i | ||||
\(867\) | −7.46425 | − | 16.3444i | −0.253499 | − | 0.555085i | ||||
\(868\) | −0.0102972 | + | 0.00661761i | −0.000349510 | + | 0.000224616i | ||||
\(869\) | −2.85226 | + | 19.8379i | −0.0967562 | + | 0.672954i | ||||
\(870\) | −9.55638 | − | 6.14151i | −0.323992 | − | 0.208217i | ||||
\(871\) | 7.69389 | − | 8.87923i | 0.260698 | − | 0.300861i | ||||
\(872\) | 17.6597 | + | 5.18537i | 0.598034 | + | 0.175599i | ||||
\(873\) | 10.2790 | 0.347890 | ||||||||
\(874\) | −24.0486 | − | 4.30014i | −0.813455 | − | 0.145454i | ||||
\(875\) | −0.287092 | −0.00970547 | ||||||||
\(876\) | −25.3790 | − | 7.45194i | −0.857476 | − | 0.251778i | ||||
\(877\) | 4.68313 | − | 5.40462i | 0.158138 | − | 0.182501i | −0.671151 | − | 0.741320i | \(-0.734200\pi\) |
0.829290 | + | 0.558819i | \(0.188745\pi\) | |||||||
\(878\) | 0.561730 | + | 0.361002i | 0.0189575 | + | 0.0121832i | ||||
\(879\) | 5.13537 | − | 35.7173i | 0.173212 | − | 1.20471i | ||||
\(880\) | 1.24205 | − | 0.798218i | 0.0418695 | − | 0.0269079i | ||||
\(881\) | 5.77365 | + | 12.6425i | 0.194519 | + | 0.425937i | 0.981609 | − | 0.190900i | \(-0.0611407\pi\) |
−0.787090 | + | 0.616838i | \(0.788413\pi\) | |||||||
\(882\) | −9.61306 | − | 11.0941i | −0.323688 | − | 0.373556i | ||||
\(883\) | 1.82679 | + | 12.7056i | 0.0614764 | + | 0.427578i | 0.997196 | + | 0.0748333i | \(0.0238425\pi\) |
−0.935720 | + | 0.352745i | \(0.885248\pi\) | |||||||
\(884\) | −3.60917 | + | 7.90299i | −0.121390 | + | 0.265806i | ||||
\(885\) | 11.8433 | − | 3.47751i | 0.398109 | − | 0.116895i | ||||
\(886\) | 39.3821 | − | 11.5636i | 1.32307 | − | 0.388487i | ||||
\(887\) | −12.1678 | + | 26.6437i | −0.408553 | + | 0.894607i | 0.587778 | + | 0.809023i | \(0.300003\pi\) |
−0.996331 | + | 0.0855845i | \(0.972724\pi\) | |||||||
\(888\) | 1.41124 | + | 9.81537i | 0.0473580 | + | 0.329382i | ||||
\(889\) | −3.38120 | − | 3.90211i | −0.113402 | − | 0.130873i | ||||
\(890\) | 1.36991 | + | 2.99969i | 0.0459195 | + | 0.100550i | ||||
\(891\) | −13.4925 | + | 8.67107i | −0.452014 | + | 0.290492i | ||||
\(892\) | −0.772585 | + | 5.37344i | −0.0258680 | + | 0.179916i | ||||
\(893\) | −21.2383 | − | 13.6490i | −0.710711 | − | 0.456746i | ||||
\(894\) | −29.1619 | + | 33.6546i | −0.975320 | + | 1.12558i | ||||
\(895\) | −13.7377 | − | 4.03374i | −0.459199 | − | 0.134833i | ||||
\(896\) | 0.287092 | 0.00959106 | ||||||||
\(897\) | −16.8988 | − | 8.42600i | −0.564233 | − | 0.281336i | ||||
\(898\) | −33.8722 | −1.13033 | ||||||||
\(899\) | 0.205332 | + | 0.0602910i | 0.00684822 | + | 0.00201082i | ||||
\(900\) | −1.38966 | + | 1.60375i | −0.0463219 | + | 0.0534583i | ||||
\(901\) | 8.14863 | + | 5.23680i | 0.271470 | + | 0.174463i | ||||
\(902\) | 1.69364 | − | 11.7795i | 0.0563921 | − | 0.392215i | ||||
\(903\) | 2.14277 | − | 1.37707i | 0.0713068 | − | 0.0458261i | ||||
\(904\) | 4.95938 | + | 10.8595i | 0.164947 | + | 0.361183i | ||||
\(905\) | 7.22561 | + | 8.33880i | 0.240187 | + | 0.277191i | ||||
\(906\) | −4.00422 | − | 27.8499i | −0.133031 | − | 0.925252i | ||||
\(907\) | 11.6801 | − | 25.5758i | 0.387831 | − | 0.849230i | −0.610530 | − | 0.791993i | \(-0.709044\pi\) |
0.998361 | − | 0.0572373i | \(-0.0182292\pi\) | |||||||
\(908\) | 7.67980 | − | 2.25499i | 0.254863 | − | 0.0748346i | ||||
\(909\) | −26.3828 | + | 7.74669i | −0.875062 | + | 0.256941i | ||||
\(910\) | 0.207485 | − | 0.454328i | 0.00687805 | − | 0.0150608i | ||||
\(911\) | −4.97570 | − | 34.6068i | −0.164852 | − | 1.14657i | −0.889327 | − | 0.457272i | \(-0.848827\pi\) |
0.724475 | − | 0.689301i | \(-0.242082\pi\) | |||||||
\(912\) | −7.54972 | − | 8.71284i | −0.249996 | − | 0.288511i | ||||
\(913\) | −5.98540 | − | 13.1062i | −0.198088 | − | 0.433752i | ||||
\(914\) | −21.1803 | + | 13.6117i | −0.700581 | + | 0.450236i | ||||
\(915\) | 3.15957 | − | 21.9753i | 0.104452 | − | 0.726481i | ||||
\(916\) | −21.8815 | − | 14.0624i | −0.722985 | − | 0.464634i | ||||
\(917\) | 0.684017 | − | 0.789398i | 0.0225882 | − | 0.0260682i | ||||
\(918\) | −9.52070 | − | 2.79553i | −0.314230 | − | 0.0922663i | ||||
\(919\) | −15.5315 | −0.512337 | −0.256168 | − | 0.966632i | \(-0.582460\pi\) | ||||
−0.256168 | + | 0.966632i | \(0.582460\pi\) | |||||||
\(920\) | −1.50743 | + | 4.55276i | −0.0496984 | + | 0.150100i | ||||
\(921\) | −46.5194 | −1.53287 | ||||||||
\(922\) | −14.1521 | − | 4.15543i | −0.466074 | − | 0.136852i | ||||
\(923\) | −4.06256 | + | 4.68844i | −0.133721 | + | 0.154322i | ||||
\(924\) | 0.807017 | + | 0.518638i | 0.0265489 | + | 0.0170619i | ||||
\(925\) | 0.623559 | − | 4.33695i | 0.0205025 | − | 0.142598i | ||||
\(926\) | −32.1041 | + | 20.6320i | −1.05501 | + | 0.678011i | ||||
\(927\) | 5.37000 | + | 11.7587i | 0.176374 | + | 0.386205i | ||||
\(928\) | −3.28695 | − | 3.79334i | −0.107899 | − | 0.124522i | ||||
\(929\) | −3.24837 | − | 22.5929i | −0.106576 | − | 0.741249i | −0.971103 | − | 0.238663i | \(-0.923291\pi\) |
0.864527 | − | 0.502586i | \(-0.167618\pi\) | |||||||
\(930\) | 0.0400845 | − | 0.0877728i | 0.00131442 | − | 0.00287818i | ||||
\(931\) | −33.8108 | + | 9.92774i | −1.10810 | + | 0.325369i | ||||
\(932\) | −25.1147 | + | 7.37433i | −0.822658 | + | 0.241554i | ||||
\(933\) | −8.08893 | + | 17.7123i | −0.264820 | + | 0.579874i | ||||
\(934\) | −4.26498 | − | 29.6636i | −0.139554 | − | 0.970621i | ||||
\(935\) | 4.82840 | + | 5.57228i | 0.157906 | + | 0.182233i | ||||
\(936\) | −1.53364 | − | 3.35821i | −0.0501287 | − | 0.109766i | ||||
\(937\) | −41.0486 | + | 26.3803i | −1.34100 | + | 0.861807i | −0.997018 | − | 0.0771700i | \(-0.975412\pi\) |
−0.343980 | + | 0.938977i | \(0.611775\pi\) | |||||||
\(938\) | 0.275921 | − | 1.91907i | 0.00900914 | − | 0.0626599i | ||||
\(939\) | 20.2199 | + | 12.9945i | 0.659852 | + | 0.424061i | ||||
\(940\) | −3.24550 | + | 3.74551i | −0.105857 | + | 0.122165i | ||||
\(941\) | 57.0996 | + | 16.7659i | 1.86139 | + | 0.546554i | 0.999201 | + | 0.0399732i | \(0.0127273\pi\) |
0.862192 | + | 0.506581i | \(0.169091\pi\) | |||||||
\(942\) | −35.3858 | −1.15293 | ||||||||
\(943\) | 19.7770 | + | 33.2143i | 0.644029 | + | 1.08161i | ||||
\(944\) | 5.45392 | 0.177510 | ||||||||
\(945\) | 0.547328 | + | 0.160710i | 0.0178046 | + | 0.00522790i | ||||
\(946\) | 3.79024 | − | 4.37417i | 0.123231 | − | 0.142216i | ||||
\(947\) | 9.70717 | + | 6.23842i | 0.315441 | + | 0.202721i | 0.688775 | − | 0.724976i | \(-0.258149\pi\) |
−0.373334 | + | 0.927697i | \(0.621785\pi\) | |||||||
\(948\) | 4.37218 | − | 30.4092i | 0.142002 | − | 0.987645i | ||||
\(949\) | −17.1049 | + | 10.9926i | −0.555248 | + | 0.356836i | ||||
\(950\) | 2.11613 | + | 4.63367i | 0.0686562 | + | 0.150336i | ||||
\(951\) | 27.9648 | + | 32.2731i | 0.906821 | + | 1.04653i | ||||
\(952\) | 0.204039 | + | 1.41912i | 0.00661294 | + | 0.0459940i | ||||
\(953\) | −4.81818 | + | 10.5503i | −0.156076 | + | 0.341759i | −0.971476 | − | 0.237140i | \(-0.923790\pi\) |
0.815399 | + | 0.578899i | \(0.196517\pi\) | |||||||
\(954\) | −3.94926 | + | 1.15961i | −0.127862 | + | 0.0375437i | ||||
\(955\) | −12.5542 | + | 3.68624i | −0.406244 | + | 0.119284i | ||||
\(956\) | −5.48758 | + | 12.0161i | −0.177481 | + | 0.388629i | ||||
\(957\) | −2.38687 | − | 16.6011i | −0.0771566 | − | 0.536636i | ||||
\(958\) | −5.63648 | − | 6.50484i | −0.182106 | − | 0.210162i | ||||
\(959\) | −0.0786660 | − | 0.172255i | −0.00254026 | − | 0.00556239i | ||||
\(960\) | −1.90392 | + | 1.22358i | −0.0614489 | + | 0.0394908i | ||||
\(961\) | 4.41150 | − | 30.6827i | 0.142306 | − | 0.989763i | ||||
\(962\) | 6.41265 | + | 4.12116i | 0.206752 | + | 0.132872i | ||||
\(963\) | 21.3213 | − | 24.6061i | 0.687069 | − | 0.792920i | ||||
\(964\) | −8.29354 | − | 2.43520i | −0.267117 | − | 0.0784326i | ||||
\(965\) | 3.12659 | 0.100648 | ||||||||
\(966\) | −3.09769 | + | 0.337922i | −0.0996666 | + | 0.0108724i | ||||
\(967\) | −13.6713 | −0.439641 | −0.219820 | − | 0.975540i | \(-0.570547\pi\) | ||||
−0.219820 | + | 0.975540i | \(0.570547\pi\) | |||||||
\(968\) | −8.46288 | − | 2.48493i | −0.272007 | − | 0.0798685i | ||||
\(969\) | 37.7027 | − | 43.5113i | 1.21119 | − | 1.39778i | ||||
\(970\) | −4.07490 | − | 2.61878i | −0.130837 | − | 0.0840840i | ||||
\(971\) | −6.87691 | + | 47.8300i | −0.220691 | + | 1.53494i | 0.514745 | + | 0.857343i | \(0.327886\pi\) |
−0.735436 | + | 0.677594i | \(0.763023\pi\) | |||||||
\(972\) | 15.6678 | − | 10.0691i | 0.502546 | − | 0.322966i | ||||
\(973\) | −0.0570931 | − | 0.125016i | −0.00183032 | − | 0.00400784i | ||||
\(974\) | 21.4638 | + | 24.7705i | 0.687743 | + | 0.793698i | ||||
\(975\) | 0.560346 | + | 3.89729i | 0.0179454 | + | 0.124813i | ||||
\(976\) | 4.07509 | − | 8.92321i | 0.130441 | − | 0.285625i | ||||
\(977\) | 5.08611 | − | 1.49342i | 0.162719 | − | 0.0477786i | −0.199358 | − | 0.979927i | \(-0.563886\pi\) |
0.362077 | + | 0.932148i | \(0.382068\pi\) | |||||||
\(978\) | −31.6809 | + | 9.30236i | −1.01304 | + | 0.297457i | ||||
\(979\) | −2.02258 | + | 4.42883i | −0.0646418 | + | 0.141546i | ||||
\(980\) | 0.984474 | + | 6.84717i | 0.0314479 | + | 0.218725i | ||||
\(981\) | −25.5770 | − | 29.5175i | −0.816612 | − | 0.942420i | ||||
\(982\) | −14.3621 | − | 31.4487i | −0.458314 | − | 1.00357i | ||||
\(983\) | −3.84425 | + | 2.47055i | −0.122613 | + | 0.0787983i | −0.600510 | − | 0.799618i | \(-0.705036\pi\) |
0.477897 | + | 0.878416i | \(0.341399\pi\) | |||||||
\(984\) | −2.59616 | + | 18.0567i | −0.0827625 | + | 0.575626i | ||||
\(985\) | −22.0666 | − | 14.1813i | −0.703099 | − | 0.451854i | ||||
\(986\) | 16.4148 | − | 18.9437i | 0.522753 | − | 0.603289i | ||||
\(987\) | −3.08971 | − | 0.907221i | −0.0983465 | − | 0.0288771i | ||||
\(988\) | −8.86223 | −0.281945 | ||||||||
\(989\) | −0.641744 | + | 18.7895i | −0.0204063 | + | 0.597472i | ||||
\(990\) | −3.13308 | −0.0995757 | ||||||||
\(991\) | −21.8606 | − | 6.41884i | −0.694423 | − | 0.203901i | −0.0845725 | − | 0.996417i | \(-0.526952\pi\) |
−0.609851 | + | 0.792516i | \(0.708771\pi\) | |||||||
\(992\) | 0.0279203 | − | 0.0322218i | 0.000886472 | − | 0.00102304i | ||||
\(993\) | −0.929878 | − | 0.597597i | −0.0295088 | − | 0.0189642i | ||||
\(994\) | −0.145693 | + | 1.01332i | −0.00462110 | + | 0.0321404i | ||||
\(995\) | −2.68098 | + | 1.72296i | −0.0849927 | + | 0.0546215i | ||||
\(996\) | 9.17494 | + | 20.0903i | 0.290719 | + | 0.636586i | ||||
\(997\) | 0.469651 | + | 0.542007i | 0.0148740 | + | 0.0171655i | 0.763138 | − | 0.646236i | \(-0.223658\pi\) |
−0.748264 | + | 0.663401i | \(0.769112\pi\) | |||||||
\(998\) | 4.16603 | + | 28.9754i | 0.131873 | + | 0.917199i | ||||
\(999\) | −3.61655 | + | 7.91915i | −0.114423 | + | 0.250551i |
(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 | 230.2.g.b.41.2 | ✓ | 20 | |
23.3 | even | 11 | 5290.2.a.bj.1.2 | 10 | |||
23.9 | even | 11 | inner | 230.2.g.b.101.2 | yes | 20 | |
23.20 | odd | 22 | 5290.2.a.bi.1.2 | 10 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
230.2.g.b.41.2 | ✓ | 20 | 1.1 | even | 1 | trivial | |
230.2.g.b.101.2 | yes | 20 | 23.9 | even | 11 | inner | |
5290.2.a.bi.1.2 | 10 | 23.20 | odd | 22 | |||
5290.2.a.bj.1.2 | 10 | 23.3 | even | 11 |