Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [588,2,Mod(55,588)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(588, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([7, 0, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("588.55");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 588 = 2^{2} \cdot 3 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 588.x (of order \(14\), degree \(6\), 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: | \(4.69520363885\) |
Analytic rank: | \(0\) |
Dimension: | \(168\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{14})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{14}]$ |
Embedding invariants
Embedding label | 55.15 | ||
Character | \(\chi\) | \(=\) | 588.55 |
Dual form | 588.2.x.a.139.15 |
$q$-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 \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(295\) | \(493\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{9}{14}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.0809236 | − | 1.41190i | 0.0572216 | − | 0.998362i | ||||
\(3\) | −0.900969 | − | 0.433884i | −0.520175 | − | 0.250503i | ||||
\(4\) | −1.98690 | − | 0.228511i | −0.993451 | − | 0.114256i | ||||
\(5\) | −0.881995 | + | 1.83148i | −0.394440 | + | 0.819063i | 0.605294 | + | 0.796002i | \(0.293056\pi\) |
−0.999734 | + | 0.0230611i | \(0.992659\pi\) | |||||||
\(6\) | −0.685509 | + | 1.23696i | −0.279858 | + | 0.504988i | ||||
\(7\) | −1.70818 | − | 2.02043i | −0.645630 | − | 0.763650i | ||||
\(8\) | −0.483422 | + | 2.78681i | −0.170915 | + | 0.985286i | ||||
\(9\) | 0.623490 | + | 0.781831i | 0.207830 | + | 0.260610i | ||||
\(10\) | 2.51449 | + | 1.39349i | 0.795150 | + | 0.440662i | ||||
\(11\) | 3.11985 | + | 2.48800i | 0.940670 | + | 0.750159i | 0.968386 | − | 0.249457i | \(-0.0802520\pi\) |
−0.0277162 | + | 0.999616i | \(0.508823\pi\) | |||||||
\(12\) | 1.69099 | + | 1.06797i | 0.488147 | + | 0.308295i | ||||
\(13\) | 1.46088 | + | 1.16501i | 0.405175 | + | 0.323116i | 0.804782 | − | 0.593570i | \(-0.202282\pi\) |
−0.399607 | + | 0.916686i | \(0.630854\pi\) | |||||||
\(14\) | −2.99087 | + | 2.24827i | −0.799343 | + | 0.600875i | ||||
\(15\) | 1.58930 | − | 1.26742i | 0.410355 | − | 0.327247i | ||||
\(16\) | 3.89557 | + | 0.908060i | 0.973891 | + | 0.227015i | ||||
\(17\) | 1.45920 | + | 0.333054i | 0.353909 | + | 0.0807774i | 0.395779 | − | 0.918346i | \(-0.370475\pi\) |
−0.0418705 | + | 0.999123i | \(0.513332\pi\) | |||||||
\(18\) | 1.15432 | − | 0.817034i | 0.272076 | − | 0.192577i | ||||
\(19\) | −5.08805 | −1.16728 | −0.583639 | − | 0.812013i | \(-0.698372\pi\) | ||||
−0.583639 | + | 0.812013i | \(0.698372\pi\) | |||||||
\(20\) | 2.17095 | − | 3.43743i | 0.485440 | − | 0.768632i | ||||
\(21\) | 0.662382 | + | 2.56149i | 0.144544 | + | 0.558964i | ||||
\(22\) | 3.76526 | − | 4.20357i | 0.802757 | − | 0.896203i | ||||
\(23\) | 5.98730 | − | 1.36656i | 1.24844 | − | 0.284948i | 0.453290 | − | 0.891363i | \(-0.350250\pi\) |
0.795148 | + | 0.606415i | \(0.207393\pi\) | |||||||
\(24\) | 1.64470 | − | 2.30108i | 0.335723 | − | 0.469706i | ||||
\(25\) | 0.541042 | + | 0.678446i | 0.108208 | + | 0.135689i | ||||
\(26\) | 1.76310 | − | 1.96833i | 0.345772 | − | 0.386022i | ||||
\(27\) | −0.222521 | − | 0.974928i | −0.0428242 | − | 0.187625i | ||||
\(28\) | 2.93229 | + | 4.40473i | 0.554151 | + | 0.832416i | ||||
\(29\) | 0.581766 | − | 2.54888i | 0.108031 | − | 0.473316i | −0.891753 | − | 0.452523i | \(-0.850524\pi\) |
0.999784 | − | 0.0207925i | \(-0.00661892\pi\) | |||||||
\(30\) | −1.66086 | − | 2.34649i | −0.303230 | − | 0.428409i | ||||
\(31\) | 7.17708 | 1.28904 | 0.644521 | − | 0.764587i | \(-0.277057\pi\) | ||||
0.644521 | + | 0.764587i | \(0.277057\pi\) | |||||||
\(32\) | 1.59733 | − | 5.42665i | 0.282371 | − | 0.959305i | ||||
\(33\) | −1.73139 | − | 3.59526i | −0.301395 | − | 0.625854i | ||||
\(34\) | 0.588321 | − | 2.03329i | 0.100896 | − | 0.348707i | ||||
\(35\) | 5.20698 | − | 1.34648i | 0.880140 | − | 0.227597i | ||||
\(36\) | −1.06016 | − | 1.69590i | −0.176693 | − | 0.282650i | ||||
\(37\) | −1.48774 | + | 6.51823i | −0.244583 | + | 1.07159i | 0.692207 | + | 0.721699i | \(0.256639\pi\) |
−0.936790 | + | 0.349891i | \(0.886219\pi\) | |||||||
\(38\) | −0.411743 | + | 7.18380i | −0.0667935 | + | 1.16537i | ||||
\(39\) | −0.810727 | − | 1.68349i | −0.129820 | − | 0.269574i | ||||
\(40\) | −4.67761 | − | 3.34333i | −0.739595 | − | 0.528627i | ||||
\(41\) | 4.31387 | − | 8.95784i | 0.673713 | − | 1.39898i | −0.230998 | − | 0.972954i | \(-0.574199\pi\) |
0.904711 | − | 0.426026i | \(-0.140087\pi\) | |||||||
\(42\) | 3.67017 | − | 0.727930i | 0.566319 | − | 0.112322i | ||||
\(43\) | 5.51444 | + | 11.4509i | 0.840945 | + | 1.74624i | 0.642748 | + | 0.766078i | \(0.277794\pi\) |
0.198197 | + | 0.980162i | \(0.436491\pi\) | |||||||
\(44\) | −5.63030 | − | 5.65633i | −0.848800 | − | 0.852723i | ||||
\(45\) | −1.98182 | + | 0.452338i | −0.295433 | + | 0.0674306i | ||||
\(46\) | −1.44493 | − | 8.56403i | −0.213043 | − | 1.26270i | ||||
\(47\) | −6.29117 | + | 7.88888i | −0.917661 | + | 1.15071i | 0.0705335 | + | 0.997509i | \(0.477530\pi\) |
−0.988195 | + | 0.153202i | \(0.951042\pi\) | |||||||
\(48\) | −3.11579 | − | 2.50836i | −0.449726 | − | 0.362050i | ||||
\(49\) | −1.16427 | + | 6.90250i | −0.166324 | + | 0.986071i | ||||
\(50\) | 1.00168 | − | 0.708994i | 0.141659 | − | 0.100267i | ||||
\(51\) | −1.17019 | − | 0.933196i | −0.163859 | − | 0.130674i | ||||
\(52\) | −2.63641 | − | 2.64859i | −0.365604 | − | 0.367294i | ||||
\(53\) | −0.0266545 | − | 0.116781i | −0.00366128 | − | 0.0160411i | 0.973064 | − | 0.230534i | \(-0.0740473\pi\) |
−0.976726 | + | 0.214493i | \(0.931190\pi\) | |||||||
\(54\) | −1.39450 | + | 0.235282i | −0.189768 | + | 0.0320178i | ||||
\(55\) | −7.30841 | + | 3.51954i | −0.985465 | + | 0.474575i | ||||
\(56\) | 6.45632 | − | 3.78364i | 0.862762 | − | 0.505610i | ||||
\(57\) | 4.58417 | + | 2.20762i | 0.607188 | + | 0.292407i | ||||
\(58\) | −3.55168 | − | 1.02766i | −0.466359 | − | 0.134938i | ||||
\(59\) | 4.65159 | − | 2.24009i | 0.605586 | − | 0.291635i | −0.105854 | − | 0.994382i | \(-0.533758\pi\) |
0.711440 | + | 0.702747i | \(0.248043\pi\) | |||||||
\(60\) | −3.44740 | + | 2.15507i | −0.445058 | + | 0.278219i | ||||
\(61\) | −5.32332 | − | 1.21501i | −0.681581 | − | 0.155566i | −0.132307 | − | 0.991209i | \(-0.542239\pi\) |
−0.549274 | + | 0.835642i | \(0.685096\pi\) | |||||||
\(62\) | 0.580795 | − | 10.1333i | 0.0737611 | − | 1.28693i | ||||
\(63\) | 0.514604 | − | 2.59522i | 0.0648341 | − | 0.326967i | ||||
\(64\) | −7.53261 | − | 2.69441i | −0.941576 | − | 0.336801i | ||||
\(65\) | −3.42218 | + | 1.64804i | −0.424470 | + | 0.204414i | ||||
\(66\) | −5.21624 | + | 2.15360i | −0.642075 | + | 0.265089i | ||||
\(67\) | 7.66604i | 0.936556i | 0.883581 | + | 0.468278i | \(0.155125\pi\) | ||||
−0.883581 | + | 0.468278i | \(0.844875\pi\) | |||||||
\(68\) | −2.82319 | − | 0.995190i | −0.342362 | − | 0.120685i | ||||
\(69\) | −5.98730 | − | 1.36656i | −0.720786 | − | 0.164515i | ||||
\(70\) | −1.47973 | − | 7.46068i | −0.176861 | − | 0.891721i | ||||
\(71\) | 10.2617 | − | 2.34216i | 1.21784 | − | 0.277964i | 0.435138 | − | 0.900364i | \(-0.356699\pi\) |
0.782699 | + | 0.622400i | \(0.213842\pi\) | |||||||
\(72\) | −2.48022 | + | 1.35959i | −0.292297 | + | 0.160230i | ||||
\(73\) | −0.170928 | + | 0.136311i | −0.0200056 | + | 0.0159539i | −0.633442 | − | 0.773791i | \(-0.718358\pi\) |
0.613436 | + | 0.789744i | \(0.289787\pi\) | |||||||
\(74\) | 9.08267 | + | 2.62802i | 1.05584 | + | 0.305501i | ||||
\(75\) | −0.193096 | − | 0.846008i | −0.0222968 | − | 0.0976886i | ||||
\(76\) | 10.1095 | + | 1.16268i | 1.15963 | + | 0.133368i | ||||
\(77\) | −0.302432 | − | 10.5534i | −0.0344653 | − | 1.20267i | ||||
\(78\) | −2.44252 | + | 1.00843i | −0.276561 | + | 0.114182i | ||||
\(79\) | − | 2.43942i | − | 0.274456i | −0.990539 | − | 0.137228i | \(-0.956181\pi\) | ||
0.990539 | − | 0.137228i | \(-0.0438193\pi\) | |||||||
\(80\) | −5.09896 | + | 6.33375i | −0.570081 | + | 0.708135i | ||||
\(81\) | −0.222521 | + | 0.974928i | −0.0247245 | + | 0.108325i | ||||
\(82\) | −12.2984 | − | 6.81564i | −1.35814 | − | 0.752661i | ||||
\(83\) | 4.29245 | + | 5.38256i | 0.471157 | + | 0.590813i | 0.959454 | − | 0.281865i | \(-0.0909530\pi\) |
−0.488297 | + | 0.872678i | \(0.662382\pi\) | |||||||
\(84\) | −0.730759 | − | 5.24080i | −0.0797323 | − | 0.571818i | ||||
\(85\) | −1.89699 | + | 2.37875i | −0.205758 | + | 0.258012i | ||||
\(86\) | 16.6137 | − | 6.85918i | 1.79150 | − | 0.739644i | ||||
\(87\) | −1.63007 | + | 2.04405i | −0.174762 | + | 0.219145i | ||||
\(88\) | −8.44177 | + | 7.49167i | −0.899896 | + | 0.798615i | ||||
\(89\) | −6.92689 | + | 5.52401i | −0.734249 | + | 0.585544i | −0.917601 | − | 0.397504i | \(-0.869877\pi\) |
0.183352 | + | 0.983047i | \(0.441305\pi\) | |||||||
\(90\) | 0.478279 | + | 2.83473i | 0.0504150 | + | 0.298807i | ||||
\(91\) | −0.141615 | − | 4.94165i | −0.0148453 | − | 0.518025i | ||||
\(92\) | −12.2085 | + | 1.34706i | −1.27282 | + | 0.140441i | ||||
\(93\) | −6.46633 | − | 3.11402i | −0.670527 | − | 0.322909i | ||||
\(94\) | 10.6292 | + | 9.52088i | 1.09632 | + | 0.982003i | ||||
\(95\) | 4.48763 | − | 9.31866i | 0.460421 | − | 0.956074i | ||||
\(96\) | −3.79368 | + | 4.19619i | −0.387191 | + | 0.428272i | ||||
\(97\) | 14.2689i | 1.44879i | 0.689385 | + | 0.724395i | \(0.257881\pi\) | ||||
−0.689385 | + | 0.724395i | \(0.742119\pi\) | |||||||
\(98\) | 9.65140 | + | 2.20240i | 0.974938 | + | 0.222476i | ||||
\(99\) | 3.99044i | 0.401054i | ||||||||
\(100\) | −0.919966 | − | 1.47164i | −0.0919966 | − | 0.147164i | ||||
\(101\) | −3.17124 | + | 6.58515i | −0.315550 | + | 0.655247i | −0.997065 | − | 0.0765572i | \(-0.975607\pi\) |
0.681515 | + | 0.731804i | \(0.261322\pi\) | |||||||
\(102\) | −1.41227 | + | 1.57667i | −0.139836 | + | 0.156114i | ||||
\(103\) | −12.7888 | − | 6.15875i | −1.26011 | − | 0.606839i | −0.319910 | − | 0.947448i | \(-0.603653\pi\) |
−0.940205 | + | 0.340609i | \(0.889367\pi\) | |||||||
\(104\) | −3.95289 | + | 3.50800i | −0.387612 | + | 0.343988i | ||||
\(105\) | −5.27554 | − | 1.04608i | −0.514840 | − | 0.102087i | ||||
\(106\) | −0.167040 | + | 0.0281830i | −0.0162243 | + | 0.00273738i | ||||
\(107\) | −2.43839 | + | 1.94455i | −0.235728 | + | 0.187986i | −0.734228 | − | 0.678903i | \(-0.762456\pi\) |
0.498500 | + | 0.866889i | \(0.333884\pi\) | |||||||
\(108\) | 0.219345 | + | 1.98794i | 0.0211065 | + | 0.191289i | ||||
\(109\) | 8.88746 | − | 11.1445i | 0.851264 | − | 1.06745i | −0.145680 | − | 0.989332i | \(-0.546537\pi\) |
0.996944 | − | 0.0781196i | \(-0.0248916\pi\) | |||||||
\(110\) | 4.37781 | + | 10.6035i | 0.417408 | + | 1.01101i | ||||
\(111\) | 4.16856 | − | 5.22721i | 0.395662 | − | 0.496145i | ||||
\(112\) | −4.81964 | − | 9.42184i | −0.455413 | − | 0.890280i | ||||
\(113\) | 6.06767 | + | 7.60861i | 0.570798 | + | 0.715758i | 0.980513 | − | 0.196456i | \(-0.0629432\pi\) |
−0.409715 | + | 0.912214i | \(0.634372\pi\) | |||||||
\(114\) | 3.48790 | − | 6.29373i | 0.326672 | − | 0.589462i | ||||
\(115\) | −2.77793 | + | 12.1709i | −0.259044 | + | 1.13494i | ||||
\(116\) | −1.73836 | + | 4.93144i | −0.161403 | + | 0.457873i | ||||
\(117\) | 1.86853i | 0.172746i | ||||||||
\(118\) | −2.78635 | − | 6.74884i | −0.256504 | − | 0.621281i | ||||
\(119\) | −1.81967 | − | 3.51713i | −0.166808 | − | 0.322415i | ||||
\(120\) | 2.76377 | + | 5.04177i | 0.252296 | + | 0.460249i | ||||
\(121\) | 1.09560 | + | 4.80014i | 0.0996000 | + | 0.436376i | ||||
\(122\) | −2.14625 | + | 7.41765i | −0.194313 | + | 0.671563i | ||||
\(123\) | −7.77332 | + | 6.19902i | −0.700897 | + | 0.558947i | ||||
\(124\) | −14.2602 | − | 1.64005i | −1.28060 | − | 0.147280i | ||||
\(125\) | −11.6289 | + | 2.65421i | −1.04012 | + | 0.237400i | ||||
\(126\) | −3.62254 | − | 0.936583i | −0.322722 | − | 0.0834374i | ||||
\(127\) | 6.25693 | + | 1.42810i | 0.555213 | + | 0.126724i | 0.490916 | − | 0.871207i | \(-0.336662\pi\) |
0.0642973 | + | 0.997931i | \(0.479519\pi\) | |||||||
\(128\) | −4.41379 | + | 10.4172i | −0.390128 | + | 0.920761i | ||||
\(129\) | − | 12.7095i | − | 1.11901i | ||||||
\(130\) | 2.04992 | + | 4.96513i | 0.179790 | + | 0.435471i | ||||
\(131\) | −3.06962 | + | 1.47825i | −0.268194 | + | 0.129155i | −0.563148 | − | 0.826356i | \(-0.690410\pi\) |
0.294954 | + | 0.955511i | \(0.404696\pi\) | |||||||
\(132\) | 2.61854 | + | 7.53907i | 0.227914 | + | 0.656192i | ||||
\(133\) | 8.69128 | + | 10.2800i | 0.753630 | + | 0.891392i | ||||
\(134\) | 10.8237 | + | 0.620364i | 0.935022 | + | 0.0535913i | ||||
\(135\) | 1.98182 | + | 0.452338i | 0.170568 | + | 0.0389311i | ||||
\(136\) | −1.63357 | + | 3.90552i | −0.140077 | + | 0.334895i | ||||
\(137\) | 6.36340 | − | 3.06445i | 0.543662 | − | 0.261814i | −0.141834 | − | 0.989890i | \(-0.545300\pi\) |
0.685496 | + | 0.728077i | \(0.259586\pi\) | |||||||
\(138\) | −2.41396 | + | 8.34286i | −0.205490 | + | 0.710191i | ||||
\(139\) | 9.91716 | + | 4.77585i | 0.841163 | + | 0.405083i | 0.804290 | − | 0.594237i | \(-0.202546\pi\) |
0.0368731 | + | 0.999320i | \(0.488260\pi\) | |||||||
\(140\) | −10.6534 | + | 1.48548i | −0.900381 | + | 0.125546i | ||||
\(141\) | 9.09100 | − | 4.37800i | 0.765601 | − | 0.368694i | ||||
\(142\) | −2.47648 | − | 14.6780i | −0.207821 | − | 1.23175i | ||||
\(143\) | 1.65918 | + | 7.26932i | 0.138747 | + | 0.607891i | ||||
\(144\) | 1.71890 | + | 3.61184i | 0.143241 | + | 0.300987i | ||||
\(145\) | 4.15512 | + | 3.31359i | 0.345064 | + | 0.275179i | ||||
\(146\) | 0.178624 | + | 0.252363i | 0.0147831 | + | 0.0208857i | ||||
\(147\) | 4.04385 | − | 5.71378i | 0.333531 | − | 0.471265i | ||||
\(148\) | 4.44549 | − | 12.6111i | 0.365417 | − | 1.03663i | ||||
\(149\) | −2.98984 | + | 3.74914i | −0.244937 | + | 0.307142i | −0.889069 | − | 0.457773i | \(-0.848647\pi\) |
0.644132 | + | 0.764914i | \(0.277219\pi\) | |||||||
\(150\) | −1.21010 | + | 0.204169i | −0.0988044 | + | 0.0166704i | ||||
\(151\) | −8.31757 | + | 1.89843i | −0.676875 | + | 0.154492i | −0.547120 | − | 0.837054i | \(-0.684276\pi\) |
−0.129754 | + | 0.991546i | \(0.541419\pi\) | |||||||
\(152\) | 2.45967 | − | 14.1794i | 0.199506 | − | 1.15010i | ||||
\(153\) | 0.649407 | + | 1.34851i | 0.0525014 | + | 0.109020i | ||||
\(154\) | −14.9247 | − | 0.427014i | −1.20267 | − | 0.0344098i | ||||
\(155\) | −6.33015 | + | 13.1447i | −0.508450 | + | 1.05581i | ||||
\(156\) | 1.22614 | + | 3.53019i | 0.0981696 | + | 0.282642i | ||||
\(157\) | 0.773651 | + | 1.60650i | 0.0617441 | + | 0.128213i | 0.929557 | − | 0.368678i | \(-0.120189\pi\) |
−0.867813 | + | 0.496890i | \(0.834475\pi\) | |||||||
\(158\) | −3.44421 | − | 0.197407i | −0.274006 | − | 0.0157048i | ||||
\(159\) | −0.0266545 | + | 0.116781i | −0.00211384 | + | 0.00926133i | ||||
\(160\) | 8.52997 | + | 7.71175i | 0.674353 | + | 0.609668i | ||||
\(161\) | −12.9884 | − | 9.76259i | −1.02363 | − | 0.769400i | ||||
\(162\) | 1.35849 | + | 0.393071i | 0.106733 | + | 0.0308826i | ||||
\(163\) | −9.35275 | − | 19.4212i | −0.732564 | − | 1.52119i | −0.849235 | − | 0.528014i | \(-0.822937\pi\) |
0.116671 | − | 0.993171i | \(-0.462778\pi\) | |||||||
\(164\) | −10.6182 | + | 16.8126i | −0.829143 | + | 1.31284i | ||||
\(165\) | 8.11172 | 0.631496 | ||||||||
\(166\) | 7.94698 | − | 5.62492i | 0.616805 | − | 0.436578i | ||||
\(167\) | 2.35952 | − | 10.3377i | 0.182585 | − | 0.799959i | −0.797809 | − | 0.602911i | \(-0.794007\pi\) |
0.980394 | − | 0.197048i | \(-0.0631354\pi\) | |||||||
\(168\) | −7.45860 | + | 0.607652i | −0.575444 | + | 0.0468813i | ||||
\(169\) | −2.11586 | − | 9.27018i | −0.162758 | − | 0.713091i | ||||
\(170\) | 3.20504 | + | 2.87085i | 0.245815 | + | 0.220184i | ||||
\(171\) | −3.17235 | − | 3.97800i | −0.242595 | − | 0.304205i | ||||
\(172\) | −8.34001 | − | 24.0119i | −0.635920 | − | 1.83089i | ||||
\(173\) | 23.2084 | − | 5.29716i | 1.76450 | − | 0.402735i | 0.787557 | − | 0.616242i | \(-0.211345\pi\) |
0.976942 | + | 0.213506i | \(0.0684883\pi\) | |||||||
\(174\) | 2.75407 | + | 2.46690i | 0.208785 | + | 0.187016i | ||||
\(175\) | 0.446556 | − | 2.25204i | 0.0337564 | − | 0.170238i | ||||
\(176\) | 9.89432 | + | 12.5252i | 0.745813 | + | 0.944119i | ||||
\(177\) | −5.16288 | −0.388066 | ||||||||
\(178\) | 7.23878 | + | 10.2271i | 0.542569 | + | 0.766551i | ||||
\(179\) | 23.1918 | + | 5.29338i | 1.73344 | + | 0.395646i | 0.968609 | − | 0.248589i | \(-0.0799669\pi\) |
0.764828 | + | 0.644235i | \(0.222824\pi\) | |||||||
\(180\) | 4.04106 | − | 0.445883i | 0.301202 | − | 0.0332342i | ||||
\(181\) | −0.658981 | + | 0.525519i | −0.0489816 | + | 0.0390616i | −0.647675 | − | 0.761917i | \(-0.724258\pi\) |
0.598693 | + | 0.800979i | \(0.295687\pi\) | |||||||
\(182\) | −6.98855 | − | 0.199951i | −0.518026 | − | 0.0148213i | ||||
\(183\) | 4.26897 | + | 3.40439i | 0.315571 | + | 0.251660i | ||||
\(184\) | 0.913957 | + | 17.3461i | 0.0673778 | + | 1.27877i | ||||
\(185\) | −10.6258 | − | 8.47381i | −0.781226 | − | 0.623007i | ||||
\(186\) | −4.91995 | + | 8.87779i | −0.360748 | + | 0.650951i | ||||
\(187\) | 3.72386 | + | 4.66957i | 0.272315 | + | 0.341473i | ||||
\(188\) | 14.3026 | − | 14.2368i | 1.04313 | − | 1.03833i | ||||
\(189\) | −1.58967 | + | 2.11494i | −0.115631 | + | 0.153839i | ||||
\(190\) | −12.7938 | − | 7.09017i | −0.928162 | − | 0.514375i | ||||
\(191\) | 4.48933 | − | 9.32218i | 0.324836 | − | 0.674529i | −0.673044 | − | 0.739602i | \(-0.735014\pi\) |
0.997881 | + | 0.0650728i | \(0.0207280\pi\) | |||||||
\(192\) | 5.61758 | + | 5.69585i | 0.405414 | + | 0.411063i | ||||
\(193\) | −15.7490 | − | 7.58431i | −1.13364 | − | 0.545930i | −0.229557 | − | 0.973295i | \(-0.573728\pi\) |
−0.904079 | + | 0.427365i | \(0.859442\pi\) | |||||||
\(194\) | 20.1463 | + | 1.15469i | 1.44642 | + | 0.0829021i | ||||
\(195\) | 3.79834 | 0.272005 | ||||||||
\(196\) | 3.89058 | − | 13.4485i | 0.277899 | − | 0.960610i | ||||
\(197\) | −1.96307 | −0.139863 | −0.0699315 | − | 0.997552i | \(-0.522278\pi\) | ||||
−0.0699315 | + | 0.997552i | \(0.522278\pi\) | |||||||
\(198\) | 5.63408 | + | 0.322920i | 0.400397 | + | 0.0229490i | ||||
\(199\) | −17.9159 | − | 8.62786i | −1.27003 | − | 0.611613i | −0.327219 | − | 0.944948i | \(-0.606112\pi\) |
−0.942808 | + | 0.333336i | \(0.891826\pi\) | |||||||
\(200\) | −2.15225 | + | 1.17981i | −0.152187 | + | 0.0834249i | ||||
\(201\) | 3.32617 | − | 6.90687i | 0.234610 | − | 0.487173i | ||||
\(202\) | 9.04092 | + | 5.01036i | 0.636117 | + | 0.352528i | ||||
\(203\) | −6.14360 | + | 3.17853i | −0.431196 | + | 0.223089i | ||||
\(204\) | 2.11181 | + | 2.12157i | 0.147856 | + | 0.148540i | ||||
\(205\) | 12.6013 | + | 15.8015i | 0.880113 | + | 1.10363i | ||||
\(206\) | −9.73042 | + | 17.5580i | −0.677951 | + | 1.22333i | ||||
\(207\) | 4.80144 | + | 3.82902i | 0.333723 | + | 0.266135i | ||||
\(208\) | 4.63305 | + | 5.86495i | 0.321244 | + | 0.406661i | ||||
\(209\) | −15.8739 | − | 12.6590i | −1.09802 | − | 0.875644i | ||||
\(210\) | −1.90388 | + | 7.36387i | −0.131380 | + | 0.508155i | ||||
\(211\) | −11.7062 | + | 9.33540i | −0.805889 | + | 0.642675i | −0.937249 | − | 0.348659i | \(-0.886637\pi\) |
0.131360 | + | 0.991335i | \(0.458066\pi\) | |||||||
\(212\) | 0.0262741 | + | 0.238123i | 0.00180451 | + | 0.0163544i | ||||
\(213\) | −10.2617 | − | 2.34216i | −0.703119 | − | 0.160482i | ||||
\(214\) | 2.54818 | + | 3.60011i | 0.174190 | + | 0.246098i | ||||
\(215\) | −25.8357 | −1.76198 | ||||||||
\(216\) | 2.82451 | − | 0.148822i | 0.192184 | − | 0.0101261i | ||||
\(217\) | −12.2597 | − | 14.5008i | −0.832244 | − | 0.984377i | ||||
\(218\) | −15.0157 | − | 13.4500i | −1.01699 | − | 0.910951i | ||||
\(219\) | 0.213144 | − | 0.0486487i | 0.0144029 | − | 0.00328737i | ||||
\(220\) | 15.3253 | − | 5.32294i | 1.03323 | − | 0.358872i | ||||
\(221\) | 1.74371 | + | 2.18654i | 0.117294 | + | 0.147083i | ||||
\(222\) | −7.04295 | − | 6.30858i | −0.472692 | − | 0.423404i | ||||
\(223\) | −3.69444 | − | 16.1864i | −0.247398 | − | 1.08392i | −0.934108 | − | 0.356991i | \(-0.883803\pi\) |
0.686710 | − | 0.726932i | \(-0.259054\pi\) | |||||||
\(224\) | −13.6927 | + | 6.04239i | −0.914881 | + | 0.403724i | ||||
\(225\) | −0.193096 | + | 0.846008i | −0.0128731 | + | 0.0564005i | ||||
\(226\) | 11.2336 | − | 7.95120i | 0.747247 | − | 0.528906i | ||||
\(227\) | −7.38162 | −0.489935 | −0.244968 | − | 0.969531i | \(-0.578777\pi\) | ||||
−0.244968 | + | 0.969531i | \(0.578777\pi\) | |||||||
\(228\) | −8.60384 | − | 5.43386i | −0.569803 | − | 0.359866i | ||||
\(229\) | 9.22294 | + | 19.1516i | 0.609469 | + | 1.26557i | 0.946081 | + | 0.323931i | \(0.105005\pi\) |
−0.336612 | + | 0.941644i | \(0.609281\pi\) | |||||||
\(230\) | 16.9593 | + | 4.90707i | 1.11826 | + | 0.323563i | ||||
\(231\) | −4.30645 | + | 9.63948i | −0.283344 | + | 0.634231i | ||||
\(232\) | 6.82201 | + | 2.85346i | 0.447887 | + | 0.187339i | ||||
\(233\) | −5.46681 | + | 23.9517i | −0.358143 | + | 1.56913i | 0.399673 | + | 0.916658i | \(0.369124\pi\) |
−0.757816 | + | 0.652468i | \(0.773733\pi\) | |||||||
\(234\) | 2.63818 | + | 0.151208i | 0.172463 | + | 0.00988481i | ||||
\(235\) | −8.89955 | − | 18.4801i | −0.580543 | − | 1.20551i | ||||
\(236\) | −9.75415 | + | 3.38790i | −0.634941 | + | 0.220533i | ||||
\(237\) | −1.05842 | + | 2.19784i | −0.0687521 | + | 0.142765i | ||||
\(238\) | −5.11308 | + | 2.28456i | −0.331432 | + | 0.148086i | ||||
\(239\) | −8.03789 | − | 16.6909i | −0.519928 | − | 1.07964i | −0.981309 | − | 0.192439i | \(-0.938360\pi\) |
0.461381 | − | 0.887202i | \(-0.347354\pi\) | |||||||
\(240\) | 7.34212 | − | 3.49415i | 0.473932 | − | 0.225547i | ||||
\(241\) | 12.7401 | − | 2.90785i | 0.820663 | − | 0.187311i | 0.208480 | − | 0.978027i | \(-0.433149\pi\) |
0.612183 | + | 0.790716i | \(0.290291\pi\) | |||||||
\(242\) | 6.86595 | − | 1.15843i | 0.441360 | − | 0.0744666i | ||||
\(243\) | 0.623490 | − | 0.781831i | 0.0399969 | − | 0.0501545i | ||||
\(244\) | 10.2993 | + | 3.63055i | 0.659344 | + | 0.232422i | ||||
\(245\) | −11.6149 | − | 8.22030i | −0.742050 | − | 0.525176i | ||||
\(246\) | 8.12333 | + | 11.4768i | 0.517924 | + | 0.731732i | ||||
\(247\) | −7.43302 | − | 5.92764i | −0.472952 | − | 0.377166i | ||||
\(248\) | −3.46956 | + | 20.0012i | −0.220317 | + | 1.27007i | ||||
\(249\) | −1.53196 | − | 6.71194i | −0.0970838 | − | 0.425352i | ||||
\(250\) | 2.80643 | + | 16.6336i | 0.177494 | + | 1.05200i | ||||
\(251\) | 4.40925 | − | 2.12338i | 0.278310 | − | 0.134027i | −0.289523 | − | 0.957171i | \(-0.593497\pi\) |
0.567832 | + | 0.823144i | \(0.307782\pi\) | |||||||
\(252\) | −1.61551 | + | 5.03886i | −0.101767 | + | 0.317419i | ||||
\(253\) | 22.0795 | + | 10.6329i | 1.38812 | + | 0.668486i | ||||
\(254\) | 2.52267 | − | 8.71857i | 0.158286 | − | 0.547052i | ||||
\(255\) | 2.74123 | − | 1.32011i | 0.171663 | − | 0.0826683i | ||||
\(256\) | 14.3509 | + | 7.07481i | 0.896928 | + | 0.442176i | ||||
\(257\) | 6.18147 | + | 1.41088i | 0.385590 | + | 0.0880083i | 0.410921 | − | 0.911671i | \(-0.365207\pi\) |
−0.0253318 | + | 0.999679i | \(0.508064\pi\) | |||||||
\(258\) | −17.9445 | − | 1.02850i | −1.11718 | − | 0.0640315i | ||||
\(259\) | 15.7109 | − | 8.12840i | 0.976230 | − | 0.505074i | ||||
\(260\) | 7.17614 | − | 2.49248i | 0.445045 | − | 0.154577i | ||||
\(261\) | 2.35552 | − | 1.13436i | 0.145803 | − | 0.0702151i | ||||
\(262\) | 1.83873 | + | 4.45361i | 0.113597 | + | 0.275145i | ||||
\(263\) | 3.56408i | 0.219771i | 0.993944 | + | 0.109885i | \(0.0350484\pi\) | ||||
−0.993944 | + | 0.109885i | \(0.964952\pi\) | |||||||
\(264\) | 10.8563 | − | 3.08701i | 0.668158 | − | 0.189993i | ||||
\(265\) | 0.237391 | + | 0.0541830i | 0.0145828 | + | 0.00332843i | ||||
\(266\) | 15.2177 | − | 11.4393i | 0.933056 | − | 0.701388i | ||||
\(267\) | 8.63769 | − | 1.97150i | 0.528618 | − | 0.120654i | ||||
\(268\) | 1.75178 | − | 15.2317i | 0.107007 | − | 0.930423i | ||||
\(269\) | 6.14404 | − | 4.89971i | 0.374609 | − | 0.298741i | −0.418029 | − | 0.908434i | \(-0.637279\pi\) |
0.792637 | + | 0.609693i | \(0.208707\pi\) | |||||||
\(270\) | 0.799031 | − | 2.76152i | 0.0486275 | − | 0.168061i | ||||
\(271\) | −1.00264 | − | 4.39285i | −0.0609060 | − | 0.266847i | 0.935302 | − | 0.353851i | \(-0.115128\pi\) |
−0.996208 | + | 0.0870039i | \(0.972271\pi\) | |||||||
\(272\) | 5.38199 | + | 2.62248i | 0.326331 | + | 0.159011i | ||||
\(273\) | −2.01651 | + | 4.51372i | −0.122045 | + | 0.273182i | ||||
\(274\) | −3.81174 | − | 9.23245i | −0.230276 | − | 0.557752i | ||||
\(275\) | 3.46276i | 0.208812i | ||||||||
\(276\) | 11.5839 | + | 4.08339i | 0.697269 | + | 0.245791i | ||||
\(277\) | 5.34188 | − | 23.4043i | 0.320962 | − | 1.40623i | −0.514882 | − | 0.857261i | \(-0.672164\pi\) |
0.835844 | − | 0.548967i | \(-0.184979\pi\) | |||||||
\(278\) | 7.54554 | − | 13.6155i | 0.452552 | − | 0.816605i | ||||
\(279\) | 4.47484 | + | 5.61127i | 0.267902 | + | 0.335938i | ||||
\(280\) | 1.23523 | + | 15.1618i | 0.0738190 | + | 0.906089i | ||||
\(281\) | 10.3265 | − | 12.9490i | 0.616027 | − | 0.772473i | −0.371753 | − | 0.928332i | \(-0.621243\pi\) |
0.987779 | + | 0.155859i | \(0.0498145\pi\) | |||||||
\(282\) | −5.44560 | − | 13.1898i | −0.324281 | − | 0.785443i | ||||
\(283\) | −8.15166 | + | 10.2219i | −0.484566 | + | 0.607627i | −0.962670 | − | 0.270676i | \(-0.912753\pi\) |
0.478104 | + | 0.878303i | \(0.341324\pi\) | |||||||
\(284\) | −20.9242 | + | 2.30874i | −1.24162 | + | 0.136998i | ||||
\(285\) | −8.08643 | + | 6.44871i | −0.478999 | + | 0.381989i | ||||
\(286\) | 10.3978 | − | 1.75432i | 0.614835 | − | 0.103735i | ||||
\(287\) | −25.4675 | + | 6.58571i | −1.50330 | + | 0.388742i | ||||
\(288\) | 5.23865 | − | 2.13462i | 0.308690 | − | 0.125784i | ||||
\(289\) | −13.2981 | − | 6.40404i | −0.782242 | − | 0.376708i | ||||
\(290\) | 5.01470 | − | 5.59845i | 0.294473 | − | 0.328752i | ||||
\(291\) | 6.19106 | − | 12.8559i | 0.362926 | − | 0.753624i | ||||
\(292\) | 0.370766 | − | 0.231777i | 0.0216974 | − | 0.0135637i | ||||
\(293\) | − | 7.11193i | − | 0.415483i | −0.978184 | − | 0.207742i | \(-0.933389\pi\) | ||
0.978184 | − | 0.207742i | \(-0.0666113\pi\) | |||||||
\(294\) | −7.74002 | − | 6.17188i | −0.451407 | − | 0.359951i | ||||
\(295\) | 10.4950i | 0.611045i | ||||||||
\(296\) | −17.4458 | − | 7.29711i | −1.01402 | − | 0.424136i | ||||
\(297\) | 1.73139 | − | 3.59526i | 0.100465 | − | 0.208618i | ||||
\(298\) | 5.05145 | + | 4.52474i | 0.292623 | + | 0.262111i | ||||
\(299\) | 10.3388 | + | 4.97890i | 0.597907 | + | 0.287937i | ||||
\(300\) | 0.190340 | + | 1.72506i | 0.0109893 | + | 0.0995964i | ||||
\(301\) | 13.7160 | − | 30.7016i | 0.790578 | − | 1.76961i | ||||
\(302\) | 2.00730 | + | 11.8972i | 0.115507 | + | 0.684606i | ||||
\(303\) | 5.71438 | − | 4.55707i | 0.328283 | − | 0.261797i | ||||
\(304\) | −19.8208 | − | 4.62025i | −1.13680 | − | 0.264990i | ||||
\(305\) | 6.92041 | − | 8.67792i | 0.396262 | − | 0.496896i | ||||
\(306\) | 1.95650 | − | 0.807769i | 0.111846 | − | 0.0461771i | ||||
\(307\) | −10.9157 | + | 13.6879i | −0.622993 | + | 0.781209i | −0.988762 | − | 0.149497i | \(-0.952235\pi\) |
0.365769 | + | 0.930706i | \(0.380806\pi\) | |||||||
\(308\) | −1.81066 | + | 21.0376i | −0.103172 | + | 1.19873i | ||||
\(309\) | 8.85010 | + | 11.0977i | 0.503465 | + | 0.631325i | ||||
\(310\) | 18.0467 | + | 10.0012i | 1.02498 | + | 0.568032i | ||||
\(311\) | 6.83003 | − | 29.9243i | 0.387296 | − | 1.69685i | −0.286620 | − | 0.958044i | \(-0.592532\pi\) |
0.673915 | − | 0.738809i | \(-0.264611\pi\) | |||||||
\(312\) | 5.08349 | − | 1.44550i | 0.287796 | − | 0.0818355i | ||||
\(313\) | 12.2847i | 0.694370i | 0.937797 | + | 0.347185i | \(0.112862\pi\) | ||||
−0.937797 | + | 0.347185i | \(0.887138\pi\) | |||||||
\(314\) | 2.33082 | − | 0.962311i | 0.131536 | − | 0.0543064i | ||||
\(315\) | 4.29922 | + | 3.23146i | 0.242234 | + | 0.182072i | ||||
\(316\) | −0.557435 | + | 4.84689i | −0.0313582 | + | 0.272659i | ||||
\(317\) | −6.40582 | − | 28.0658i | −0.359787 | − | 1.57633i | −0.753723 | − | 0.657192i | \(-0.771744\pi\) |
0.393936 | − | 0.919138i | \(-0.371113\pi\) | |||||||
\(318\) | 0.162726 | + | 0.0470837i | 0.00912520 | + | 0.00264032i | ||||
\(319\) | 8.15663 | − | 6.50470i | 0.456684 | − | 0.364193i | ||||
\(320\) | 11.5785 | − | 11.4194i | 0.647256 | − | 0.638362i | ||||
\(321\) | 3.04062 | − | 0.694001i | 0.169711 | − | 0.0387354i | ||||
\(322\) | −14.8348 | + | 17.5483i | −0.826713 | + | 0.977926i | ||||
\(323\) | −7.42450 | − | 1.69459i | −0.413110 | − | 0.0942897i | ||||
\(324\) | 0.664910 | − | 1.88624i | 0.0369394 | − | 0.104791i | ||||
\(325\) | 1.62145i | 0.0899418i | ||||||||
\(326\) | −28.1776 | + | 11.6335i | −1.56061 | + | 0.644319i | ||||
\(327\) | −12.8427 | + | 6.18474i | −0.710206 | + | 0.342017i | ||||
\(328\) | 22.8784 | + | 16.3523i | 1.26325 | + | 0.902907i | ||||
\(329\) | 26.6853 | − | 0.764732i | 1.47121 | − | 0.0421610i | ||||
\(330\) | 0.656429 | − | 11.4529i | 0.0361352 | − | 0.630462i | ||||
\(331\) | −12.0360 | − | 2.74713i | −0.661556 | − | 0.150996i | −0.121456 | − | 0.992597i | \(-0.538756\pi\) |
−0.540100 | + | 0.841601i | \(0.681614\pi\) | |||||||
\(332\) | −7.29870 | − | 11.6755i | −0.400568 | − | 0.640776i | ||||
\(333\) | −6.02375 | + | 2.90088i | −0.330099 | + | 0.158967i | ||||
\(334\) | −14.4049 | − | 4.16797i | −0.788200 | − | 0.228061i | ||||
\(335\) | −14.0402 | − | 6.76141i | −0.767099 | − | 0.369415i | ||||
\(336\) | 0.254364 | + | 10.5799i | 0.0138767 | + | 0.577183i | ||||
\(337\) | 1.66810 | − | 0.803315i | 0.0908673 | − | 0.0437594i | −0.387898 | − | 0.921702i | \(-0.626799\pi\) |
0.478765 | + | 0.877943i | \(0.341084\pi\) | |||||||
\(338\) | −13.2598 | + | 2.23720i | −0.721236 | + | 0.121687i | ||||
\(339\) | −2.16552 | − | 9.48778i | −0.117615 | − | 0.515306i | ||||
\(340\) | 4.31271 | − | 4.29286i | 0.233889 | − | 0.232813i | ||||
\(341\) | 22.3914 | + | 17.8566i | 1.21256 | + | 0.966987i | ||||
\(342\) | −5.87323 | + | 4.15711i | −0.317588 | + | 0.224791i | ||||
\(343\) | 15.9348 | − | 9.43837i | 0.860397 | − | 0.509624i | ||||
\(344\) | −34.5772 | + | 9.83211i | −1.86428 | + | 0.530112i | ||||
\(345\) | 7.78360 | − | 9.76032i | 0.419055 | − | 0.525478i | ||||
\(346\) | −5.60093 | − | 33.1965i | −0.301108 | − | 1.78465i | ||||
\(347\) | 6.78072 | − | 1.54766i | 0.364008 | − | 0.0830825i | −0.0366048 | − | 0.999330i | \(-0.511654\pi\) |
0.400613 | + | 0.916247i | \(0.368797\pi\) | |||||||
\(348\) | 3.70588 | − | 3.68883i | 0.198656 | − | 0.197742i | ||||
\(349\) | −6.72576 | − | 13.9662i | −0.360022 | − | 0.747593i | 0.639758 | − | 0.768576i | \(-0.279035\pi\) |
−0.999780 | + | 0.0209836i | \(0.993320\pi\) | |||||||
\(350\) | −3.14351 | − | 0.812734i | −0.168028 | − | 0.0434424i | ||||
\(351\) | 0.810727 | − | 1.68349i | 0.0432734 | − | 0.0898581i | ||||
\(352\) | 18.4849 | − | 12.9562i | 0.985249 | − | 0.690567i | ||||
\(353\) | 5.21745 | + | 10.8342i | 0.277697 | + | 0.576644i | 0.992438 | − | 0.122745i | \(-0.0391698\pi\) |
−0.714741 | + | 0.699389i | \(0.753456\pi\) | |||||||
\(354\) | −0.417799 | + | 7.28945i | −0.0222057 | + | 0.387430i | ||||
\(355\) | −4.76112 | + | 20.8598i | −0.252694 | + | 1.10713i | ||||
\(356\) | 15.0254 | − | 9.39279i | 0.796342 | − | 0.497817i | ||||
\(357\) | 0.113436 | + | 3.95835i | 0.00600366 | + | 0.209498i | ||||
\(358\) | 9.35047 | − | 32.3161i | 0.494187 | − | 1.70796i | ||||
\(359\) | −10.3283 | − | 21.4469i | −0.545105 | − | 1.13192i | −0.973575 | − | 0.228366i | \(-0.926662\pi\) |
0.428470 | − | 0.903556i | \(-0.359053\pi\) | |||||||
\(360\) | −0.302524 | − | 5.74163i | −0.0159444 | − | 0.302611i | ||||
\(361\) | 6.88822 | 0.362538 | ||||||||
\(362\) | 0.688652 | + | 0.972939i | 0.0361947 | + | 0.0511365i | ||||
\(363\) | 1.09560 | − | 4.80014i | 0.0575041 | − | 0.251942i | ||||
\(364\) | −0.847848 | + | 9.85093i | −0.0444393 | + | 0.516329i | ||||
\(365\) | −0.0988925 | − | 0.433277i | −0.00517627 | − | 0.0226787i | ||||
\(366\) | 5.15211 | − | 5.75185i | 0.269305 | − | 0.300654i | ||||
\(367\) | 13.5016 | + | 16.9305i | 0.704779 | + | 0.883765i | 0.997370 | − | 0.0724728i | \(-0.0230890\pi\) |
−0.292592 | + | 0.956238i | \(0.594518\pi\) | |||||||
\(368\) | 24.5648 | + | 0.113295i | 1.28053 | + | 0.00590593i | ||||
\(369\) | 9.69318 | − | 2.21240i | 0.504607 | − | 0.115173i | ||||
\(370\) | −12.8240 | + | 14.3168i | −0.666689 | + | 0.744297i | ||||
\(371\) | −0.190417 | + | 0.253336i | −0.00988596 | + | 0.0131525i | ||||
\(372\) | 12.1364 | + | 7.66488i | 0.629242 | + | 0.397406i | ||||
\(373\) | 12.5704 | 0.650868 | 0.325434 | − | 0.945565i | \(-0.394490\pi\) | ||||
0.325434 | + | 0.945565i | \(0.394490\pi\) | |||||||
\(374\) | 6.89430 | − | 4.87982i | 0.356496 | − | 0.252330i | ||||
\(375\) | 11.6289 | + | 2.65421i | 0.600513 | + | 0.137063i | ||||
\(376\) | −18.9435 | − | 21.3459i | −0.976937 | − | 1.10083i | ||||
\(377\) | 3.81937 | − | 3.04585i | 0.196708 | − | 0.156869i | ||||
\(378\) | 2.85743 | + | 2.41559i | 0.146970 | + | 0.124245i | ||||
\(379\) | 7.72721 | + | 6.16224i | 0.396920 | + | 0.316533i | 0.801528 | − | 0.597957i | \(-0.204021\pi\) |
−0.404608 | + | 0.914490i | \(0.632592\pi\) | |||||||
\(380\) | −11.0459 | + | 17.4898i | −0.566643 | + | 0.897208i | ||||
\(381\) | −5.01767 | − | 4.00146i | −0.257063 | − | 0.205001i | ||||
\(382\) | −12.7987 | − | 7.09285i | −0.654837 | − | 0.362902i | ||||
\(383\) | −0.939167 | − | 1.17768i | −0.0479892 | − | 0.0601765i | 0.757258 | − | 0.653116i | \(-0.226539\pi\) |
−0.805247 | + | 0.592940i | \(0.797967\pi\) | |||||||
\(384\) | 8.49655 | − | 7.47052i | 0.433588 | − | 0.381228i | ||||
\(385\) | 19.5950 | + | 8.75412i | 0.998655 | + | 0.446151i | ||||
\(386\) | −11.9827 | + | 21.6222i | −0.609904 | + | 1.10054i | ||||
\(387\) | −5.51444 | + | 11.4509i | −0.280315 | + | 0.582080i | ||||
\(388\) | 3.26061 | − | 28.3510i | 0.165533 | − | 1.43930i | ||||
\(389\) | 15.6260 | + | 7.52506i | 0.792267 | + | 0.381536i | 0.785829 | − | 0.618443i | \(-0.212236\pi\) |
0.00643809 | + | 0.999979i | \(0.497951\pi\) | |||||||
\(390\) | 0.307375 | − | 5.36286i | 0.0155645 | − | 0.271559i | ||||
\(391\) | 9.19183 | 0.464851 | ||||||||
\(392\) | −18.6731 | − | 6.58141i | −0.943135 | − | 0.332411i | ||||
\(393\) | 3.40702 | 0.171862 | ||||||||
\(394\) | −0.158859 | + | 2.77165i | −0.00800319 | + | 0.139634i | ||||
\(395\) | 4.46775 | + | 2.15155i | 0.224797 | + | 0.108256i | ||||
\(396\) | 0.911860 | − | 7.92861i | 0.0458227 | − | 0.398428i | ||||
\(397\) | −13.9977 | + | 29.0665i | −0.702524 | + | 1.45881i | 0.177620 | + | 0.984099i | \(0.443160\pi\) |
−0.880144 | + | 0.474707i | \(0.842554\pi\) | |||||||
\(398\) | −13.6315 | + | 24.5973i | −0.683284 | + | 1.23295i | ||||
\(399\) | −3.37023 | − | 13.0330i | −0.168723 | − | 0.652466i | ||||
\(400\) | 1.49160 | + | 3.13423i | 0.0745798 | + | 0.156711i | ||||
\(401\) | 20.4847 | + | 25.6870i | 1.02296 | + | 1.28275i | 0.958581 | + | 0.284821i | \(0.0919341\pi\) |
0.0643754 | + | 0.997926i | \(0.479494\pi\) | |||||||
\(402\) | −9.48262 | − | 5.25514i | −0.472950 | − | 0.262103i | ||||
\(403\) | 10.4848 | + | 8.36139i | 0.522287 | + | 0.416510i | ||||
\(404\) | 7.80573 | − | 12.3594i | 0.388350 | − | 0.614903i | ||||
\(405\) | −1.58930 | − | 1.26742i | −0.0789729 | − | 0.0629788i | ||||
\(406\) | 3.99059 | + | 8.93134i | 0.198049 | + | 0.443255i | ||||
\(407\) | −20.8589 | + | 16.6344i | −1.03394 | + | 0.824536i | ||||
\(408\) | 3.16633 | − | 2.80997i | 0.156757 | − | 0.139114i | ||||
\(409\) | −19.6670 | − | 4.48887i | −0.972472 | − | 0.221960i | −0.293366 | − | 0.956000i | \(-0.594775\pi\) |
−0.679106 | + | 0.734040i | \(0.737633\pi\) | |||||||
\(410\) | 23.3299 | − | 16.5130i | 1.15218 | − | 0.815520i | ||||
\(411\) | −7.06284 | −0.348384 | ||||||||
\(412\) | 24.0027 | + | 15.1592i | 1.18253 | + | 0.746841i | ||||
\(413\) | −12.4717 | − | 5.57175i | −0.613691 | − | 0.274168i | ||||
\(414\) | 5.79473 | − | 6.46928i | 0.284796 | − | 0.317948i | ||||
\(415\) | −13.6440 | + | 3.11415i | −0.669756 | + | 0.152867i | ||||
\(416\) | 8.65562 | − | 6.06677i | 0.424377 | − | 0.297448i | ||||
\(417\) | −6.86289 | − | 8.60579i | −0.336077 | − | 0.421427i | ||||
\(418\) | −19.1578 | + | 21.3879i | −0.937040 | + | 1.04612i | ||||
\(419\) | −4.54257 | − | 19.9023i | −0.221919 | − | 0.972291i | −0.956032 | − | 0.293264i | \(-0.905259\pi\) |
0.734112 | − | 0.679028i | \(-0.237598\pi\) | |||||||
\(420\) | 10.2429 | + | 3.28399i | 0.499805 | + | 0.160242i | ||||
\(421\) | −6.56481 | + | 28.7623i | −0.319949 | + | 1.40179i | 0.517691 | + | 0.855568i | \(0.326792\pi\) |
−0.837640 | + | 0.546222i | \(0.816066\pi\) | |||||||
\(422\) | 12.2333 | + | 17.2834i | 0.595508 | + | 0.841344i | ||||
\(423\) | −10.0903 | −0.490605 | ||||||||
\(424\) | 0.338332 | − | 0.0178265i | 0.0164308 | − | 0.000865732i | ||||
\(425\) | 0.563532 | + | 1.17019i | 0.0273353 | + | 0.0567624i | ||||
\(426\) | −4.13730 | + | 14.2989i | −0.200453 | + | 0.692784i | ||||
\(427\) | 6.63832 | + | 12.8308i | 0.321251 | + | 0.620928i | ||||
\(428\) | 5.28919 | − | 3.30643i | 0.255662 | − | 0.159822i | ||||
\(429\) | 1.65918 | − | 7.26932i | 0.0801057 | − | 0.350966i | ||||
\(430\) | −2.09072 | + | 36.4774i | −0.100823 | + | 1.75910i | ||||
\(431\) | 3.08962 | + | 6.41567i | 0.148822 | + | 0.309032i | 0.962031 | − | 0.272939i | \(-0.0879958\pi\) |
−0.813209 | + | 0.581971i | \(0.802282\pi\) | |||||||
\(432\) | 0.0184482 | − | 3.99996i | 0.000887589 | − | 0.192448i | ||||
\(433\) | −5.94580 | + | 12.3466i | −0.285737 | + | 0.593339i | −0.993593 | − | 0.113018i | \(-0.963948\pi\) |
0.707856 | + | 0.706357i | \(0.249662\pi\) | |||||||
\(434\) | −21.4657 | + | 16.1360i | −1.03039 | + | 0.774553i | ||||
\(435\) | −2.30592 | − | 4.78828i | −0.110560 | − | 0.229581i | ||||
\(436\) | −20.2052 | + | 20.1122i | −0.967652 | + | 0.963199i | ||||
\(437\) | −30.4637 | + | 6.95313i | −1.45727 | + | 0.332613i | ||||
\(438\) | −0.0514385 | − | 0.304874i | −0.00245783 | − | 0.0145674i | ||||
\(439\) | 1.63197 | − | 2.04643i | 0.0778898 | − | 0.0976707i | −0.741360 | − | 0.671108i | \(-0.765819\pi\) |
0.819250 | + | 0.573437i | \(0.194390\pi\) | |||||||
\(440\) | −6.27525 | − | 22.0686i | −0.299161 | − | 1.05208i | ||||
\(441\) | −6.12250 | + | 3.39338i | −0.291548 | + | 0.161589i | ||||
\(442\) | 3.22828 | − | 2.28499i | 0.153553 | − | 0.108686i | ||||
\(443\) | 7.73835 | + | 6.17113i | 0.367660 | + | 0.293199i | 0.789840 | − | 0.613313i | \(-0.210164\pi\) |
−0.422180 | + | 0.906512i | \(0.638735\pi\) | |||||||
\(444\) | −9.47701 | + | 9.43340i | −0.449759 | + | 0.447689i | ||||
\(445\) | −4.00764 | − | 17.5586i | −0.189980 | − | 0.832358i | ||||
\(446\) | −23.1525 | + | 3.90631i | −1.09630 | + | 0.184969i | ||||
\(447\) | 4.32044 | − | 2.08062i | 0.204350 | − | 0.0984098i | ||||
\(448\) | 7.42316 | + | 19.8216i | 0.350711 | + | 0.936484i | ||||
\(449\) | −3.28488 | − | 1.58191i | −0.155023 | − | 0.0746551i | 0.354764 | − | 0.934956i | \(-0.384561\pi\) |
−0.509787 | + | 0.860301i | \(0.670276\pi\) | |||||||
\(450\) | 1.17885 | + | 0.341093i | 0.0555715 | + | 0.0160793i | ||||
\(451\) | 35.7457 | − | 17.2142i | 1.68320 | − | 0.810586i | ||||
\(452\) | −10.3172 | − | 16.5041i | −0.485281 | − | 0.776288i | ||||
\(453\) | 8.31757 | + | 1.89843i | 0.390794 | + | 0.0891961i | ||||
\(454\) | −0.597347 | + | 10.4221i | −0.0280349 | + | 0.489133i | ||||
\(455\) | 9.17544 | + | 4.09914i | 0.430151 | + | 0.192171i | ||||
\(456\) | −8.36831 | + | 11.7080i | −0.391882 | + | 0.548277i | ||||
\(457\) | 11.0064 | − | 5.30039i | 0.514857 | − | 0.247942i | −0.158368 | − | 0.987380i | \(-0.550623\pi\) |
0.673224 | + | 0.739438i | \(0.264909\pi\) | |||||||
\(458\) | 27.7865 | − | 11.4720i | 1.29838 | − | 0.536052i | ||||
\(459\) | − | 1.49673i | − | 0.0698614i | ||||||
\(460\) | 8.30068 | − | 23.5477i | 0.387021 | − | 1.09792i | ||||
\(461\) | −6.45982 | − | 1.47441i | −0.300864 | − | 0.0686702i | 0.0694242 | − | 0.997587i | \(-0.477884\pi\) |
−0.370288 | + | 0.928917i | \(0.620741\pi\) | |||||||
\(462\) | 13.2614 | + | 6.86033i | 0.616978 | + | 0.319171i | ||||
\(463\) | −4.20716 | + | 0.960257i | −0.195523 | + | 0.0446269i | −0.319161 | − | 0.947700i | \(-0.603401\pi\) |
0.123638 | + | 0.992327i | \(0.460544\pi\) | |||||||
\(464\) | 4.58085 | − | 9.40106i | 0.212660 | − | 0.436433i | ||||
\(465\) | 11.4065 | − | 9.09640i | 0.528965 | − | 0.421836i | ||||
\(466\) | 33.3749 | + | 9.65683i | 1.54606 | + | 0.447344i | ||||
\(467\) | −2.43193 | − | 10.6550i | −0.112536 | − | 0.493054i | −0.999512 | − | 0.0312379i | \(-0.990055\pi\) |
0.886976 | − | 0.461816i | \(-0.152802\pi\) | |||||||
\(468\) | 0.426981 | − | 3.71260i | 0.0197372 | − | 0.171615i | ||||
\(469\) | 15.4887 | − | 13.0950i | 0.715202 | − | 0.604669i | ||||
\(470\) | −26.8122 | + | 11.0698i | −1.23675 | + | 0.510610i | ||||
\(471\) | − | 1.78308i | − | 0.0821602i | ||||||
\(472\) | 3.99402 | + | 14.0460i | 0.183840 | + | 0.646520i | ||||
\(473\) | −11.2855 | + | 49.4449i | −0.518906 | + | 2.27348i | ||||
\(474\) | 3.01747 | + | 1.67224i | 0.138597 | + | 0.0768087i | ||||
\(475\) | −2.75285 | − | 3.45196i | −0.126309 | − | 0.158387i | ||||
\(476\) | 2.81179 | + | 7.40401i | 0.128878 | + | 0.339362i | ||||
\(477\) | 0.0746842 | − | 0.0936510i | 0.00341956 | − | 0.00428799i | ||||
\(478\) | −24.2162 | + | 9.99798i | −1.10762 | + | 0.457297i | ||||
\(479\) | 5.37748 | − | 6.74315i | 0.245703 | − | 0.308102i | −0.643653 | − | 0.765318i | \(-0.722582\pi\) |
0.889356 | + | 0.457216i | \(0.151153\pi\) | |||||||
\(480\) | −4.33923 | − | 10.6491i | −0.198058 | − | 0.486061i | ||||
\(481\) | −9.76722 | + | 7.78910i | −0.445347 | + | 0.355152i | ||||
\(482\) | −3.07460 | − | 18.2230i | −0.140044 | − | 0.830037i | ||||
\(483\) | 7.46632 | + | 14.4312i | 0.339729 | + | 0.656644i | ||||
\(484\) | −1.07996 | − | 9.78776i | −0.0490893 | − | 0.444898i | ||||
\(485\) | −26.1333 | − | 12.5851i | −1.18665 | − | 0.571461i | ||||
\(486\) | −1.05341 | − | 0.943572i | −0.0477836 | − | 0.0428013i | ||||
\(487\) | −11.1495 | + | 23.1522i | −0.505233 | + | 1.04913i | 0.479899 | + | 0.877324i | \(0.340673\pi\) |
−0.985131 | + | 0.171803i | \(0.945041\pi\) | |||||||
\(488\) | 5.95942 | − | 14.2477i | 0.269770 | − | 0.644964i | ||||
\(489\) | 21.5559i | 0.974791i | ||||||||
\(490\) | −12.5461 | + | 15.7338i | −0.566776 | + | 0.710782i | ||||
\(491\) | 38.0587i | 1.71756i | 0.512341 | + | 0.858782i | \(0.328778\pi\) | ||||
−0.512341 | + | 0.858782i | \(0.671222\pi\) | |||||||
\(492\) | 16.8614 | − | 10.5406i | 0.760170 | − | 0.475205i | ||||
\(493\) | 1.69783 | − | 3.52558i | 0.0764664 | − | 0.158784i | ||||
\(494\) | −8.97071 | + | 10.0150i | −0.403612 | + | 0.450595i | ||||
\(495\) | −7.30841 | − | 3.51954i | −0.328488 | − | 0.158192i | ||||
\(496\) | 27.9588 | + | 6.51722i | 1.25539 | + | 0.292632i | ||||
\(497\) | −22.2609 | − | 16.7322i | −0.998540 | − | 0.750541i | ||||
\(498\) | −9.60054 | + | 1.61981i | −0.430210 | + | 0.0725854i | ||||
\(499\) | −11.0300 | + | 8.79609i | −0.493768 | + | 0.393767i | −0.838472 | − | 0.544944i | \(-0.816551\pi\) |
0.344704 | + | 0.938712i | \(0.387979\pi\) | |||||||
\(500\) | 23.7120 | − | 2.61634i | 1.06043 | − | 0.117006i | ||||
\(501\) | −6.61123 | + | 8.29023i | −0.295368 | + | 0.370380i | ||||
\(502\) | −2.64119 | − | 6.39724i | −0.117882 | − | 0.285523i | ||||
\(503\) | −9.13636 | + | 11.4566i | −0.407370 | + | 0.510826i | −0.942620 | − | 0.333868i | \(-0.891646\pi\) |
0.535250 | + | 0.844694i | \(0.320217\pi\) | |||||||
\(504\) | 6.98362 | + | 2.68869i | 0.311075 | + | 0.119764i | ||||
\(505\) | −9.26356 | − | 11.6161i | −0.412223 | − | 0.516911i | ||||
\(506\) | 16.7993 | − | 30.3135i | 0.746821 | − | 1.34760i | ||||
\(507\) | −2.11586 | + | 9.27018i | −0.0939686 | + | 0.411703i | ||||
\(508\) | −12.1056 | − | 4.26729i | −0.537098 | − | 0.189330i | ||||
\(509\) | − | 26.9727i | − | 1.19554i | −0.801666 | − | 0.597772i | \(-0.796053\pi\) | ||
0.801666 | − | 0.597772i | \(-0.203947\pi\) | |||||||
\(510\) | −1.64202 | − | 3.97716i | −0.0727101 | − | 0.176112i | ||||
\(511\) | 0.567381 | + | 0.112505i | 0.0250995 | + | 0.00497695i | ||||
\(512\) | 11.1502 | − | 19.6894i | 0.492775 | − | 0.870157i | ||||
\(513\) | 1.13220 | + | 4.96048i | 0.0499877 | + | 0.219010i | ||||
\(514\) | 2.49224 | − | 8.61342i | 0.109928 | − | 0.379922i | ||||
\(515\) | 22.5592 | − | 17.9904i | 0.994079 | − | 0.792752i | ||||
\(516\) | −2.90427 | + | 25.2525i | −0.127853 | + | 1.11168i | ||||
\(517\) | −39.2550 | + | 8.95970i | −1.72643 | + | 0.394047i | ||||
\(518\) | −10.2051 | − | 22.8400i | −0.448385 | − | 1.00353i | ||||
\(519\) | −23.2084 | − | 5.29716i | −1.01873 | − | 0.232519i | ||||
\(520\) | −2.93841 | − | 10.3337i | −0.128858 | − | 0.453161i | ||||
\(521\) | 39.4201i | 1.72703i | 0.504325 | + | 0.863514i | \(0.331741\pi\) | ||||
−0.504325 | + | 0.863514i | \(0.668259\pi\) | |||||||
\(522\) | −1.41098 | − | 3.41755i | −0.0617570 | − | 0.149582i | ||||
\(523\) | 38.0371 | − | 18.3177i | 1.66325 | − | 0.800977i | 0.664699 | − | 0.747112i | \(-0.268560\pi\) |
0.998548 | − | 0.0538657i | \(-0.0171543\pi\) | |||||||
\(524\) | 6.43683 | − | 2.23570i | 0.281194 | − | 0.0976669i | ||||
\(525\) | −1.37946 | + | 1.83527i | −0.0602045 | + | 0.0800976i | ||||
\(526\) | 5.03211 | + | 0.288418i | 0.219411 | + | 0.0125756i | ||||
\(527\) | 10.4728 | + | 2.39035i | 0.456203 | + | 0.104125i | ||||
\(528\) | −3.48001 | − | 15.5778i | −0.151448 | − | 0.677935i | ||||
\(529\) | 13.2580 | − | 6.38471i | 0.576434 | − | 0.277596i | ||||
\(530\) | 0.0957113 | − | 0.330787i | 0.00415743 | − | 0.0143685i | ||||
\(531\) | 4.65159 | + | 2.24009i | 0.201862 | + | 0.0972116i | ||||
\(532\) | −14.9196 | − | 22.4115i | −0.646848 | − | 0.971661i | ||||
\(533\) | 16.7380 | − | 8.06061i | 0.725005 | − | 0.349144i | ||||
\(534\) | −2.08456 | − | 12.3551i | −0.0902075 | − | 0.534656i | ||||
\(535\) | −1.41076 | − | 6.18094i | −0.0609924 | − | 0.267225i | ||||
\(536\) | −21.3638 | − | 3.70593i | −0.922776 | − | 0.160072i | ||||
\(537\) | −18.5984 | − | 14.8317i | −0.802579 | − | 0.640036i | ||||
\(538\) | −6.42068 | − | 9.07125i | −0.276815 | − | 0.391089i | ||||
\(539\) | −20.8057 | + | 18.6381i | −0.896166 | + | 0.802798i | ||||
\(540\) | −3.83433 | − | 1.35162i | −0.165003 | − | 0.0581645i | ||||
\(541\) | −16.4108 | + | 20.5785i | −0.705555 | + | 0.884738i | −0.997425 | − | 0.0717198i | \(-0.977151\pi\) |
0.291870 | + | 0.956458i | \(0.405723\pi\) | |||||||
\(542\) | −6.28339 | + | 1.06014i | −0.269895 | + | 0.0455368i | ||||
\(543\) | 0.821735 | − | 0.187556i | 0.0352640 | − | 0.00804879i | ||||
\(544\) | 4.13819 | − | 7.38659i | 0.177424 | − | 0.316697i | ||||
\(545\) | 12.5723 | + | 26.1066i | 0.538537 | + | 1.11828i | ||||
\(546\) | 6.20972 | + | 3.21237i | 0.265751 | + | 0.137477i | ||||
\(547\) | 1.66177 | − | 3.45070i | 0.0710521 | − | 0.147541i | −0.862418 | − | 0.506197i | \(-0.831051\pi\) |
0.933470 | + | 0.358656i | \(0.116765\pi\) | |||||||
\(548\) | −13.3437 | + | 4.63466i | −0.570015 | + | 0.197983i | ||||
\(549\) | −2.36910 | − | 4.91949i | −0.101111 | − | 0.209959i | ||||
\(550\) | 4.88906 | + | 0.280219i | 0.208470 | + | 0.0119486i | ||||
\(551\) | −2.96005 | + | 12.9688i | −0.126102 | + | 0.552491i | ||||
\(552\) | 6.70274 | − | 16.0248i | 0.285288 | − | 0.682062i | ||||
\(553\) | −4.92867 | + | 4.16696i | −0.209589 | + | 0.177197i | ||||
\(554\) | −32.6122 | − | 9.43614i | −1.38556 | − | 0.400903i | ||||
\(555\) | 5.89689 | + | 12.2450i | 0.250309 | + | 0.519772i | ||||
\(556\) | −18.6131 | − | 11.7553i | −0.789371 | − | 0.498538i | ||||
\(557\) | 23.9590 | 1.01518 | 0.507589 | − | 0.861600i | \(-0.330537\pi\) | ||||
0.507589 | + | 0.861600i | \(0.330537\pi\) | |||||||
\(558\) | 8.28465 | − | 5.86392i | 0.350717 | − | 0.248240i | ||||
\(559\) | −5.28446 | + | 23.1527i | −0.223509 | + | 0.979256i | ||||
\(560\) | 21.5068 | − | 0.517069i | 0.908829 | − | 0.0218502i | ||||
\(561\) | −1.32903 | − | 5.82286i | −0.0561117 | − | 0.245841i | ||||
\(562\) | −17.4470 | − | 15.6278i | −0.735957 | − | 0.659219i | ||||
\(563\) | −17.1249 | − | 21.4739i | −0.721728 | − | 0.905019i | 0.276706 | − | 0.960955i | \(-0.410757\pi\) |
−0.998434 | + | 0.0559359i | \(0.982186\pi\) | |||||||
\(564\) | −19.0634 | + | 6.62126i | −0.802712 | + | 0.278805i | ||||
\(565\) | −19.2867 | + | 4.40206i | −0.811396 | + | 0.185196i | ||||
\(566\) | 13.7725 | + | 12.3365i | 0.578903 | + | 0.518542i | ||||
\(567\) | 2.34988 | − | 1.21576i | 0.0986856 | − | 0.0510572i | ||||
\(568\) | 1.56644 | + | 29.7296i | 0.0657263 | + | 1.24743i | ||||
\(569\) | −20.9060 | −0.876424 | −0.438212 | − | 0.898872i | \(-0.644388\pi\) | ||||
−0.438212 | + | 0.898872i | \(0.644388\pi\) | |||||||
\(570\) | 8.45053 | + | 11.9391i | 0.353954 | + | 0.500072i | ||||
\(571\) | 31.9756 | + | 7.29823i | 1.33814 | + | 0.305421i | 0.830918 | − | 0.556395i | \(-0.187816\pi\) |
0.507220 | + | 0.861817i | \(0.330673\pi\) | |||||||
\(572\) | −1.63550 | − | 14.8226i | −0.0683836 | − | 0.619763i | ||||
\(573\) | −8.08949 | + | 6.45115i | −0.337943 | + | 0.269501i | ||||
\(574\) | 7.23741 | + | 36.4905i | 0.302084 | + | 1.52308i | ||||
\(575\) | 4.16652 | + | 3.32269i | 0.173756 | + | 0.138566i | ||||
\(576\) | −2.58993 | − | 7.56917i | −0.107914 | − | 0.315382i | ||||
\(577\) | −27.4119 | − | 21.8602i | −1.14117 | − | 0.910053i | −0.144334 | − | 0.989529i | \(-0.546104\pi\) |
−0.996837 | + | 0.0794760i | \(0.974675\pi\) | |||||||
\(578\) | −10.1180 | + | 18.2573i | −0.420852 | + | 0.759405i | ||||
\(579\) | 10.8986 | + | 13.6665i | 0.452932 | + | 0.567958i | ||||
\(580\) | −7.49862 | − | 7.53328i | −0.311363 | − | 0.312802i | ||||
\(581\) | 3.54282 | − | 17.8669i | 0.146981 | − | 0.741246i | ||||
\(582\) | −17.6501 | − | 9.78148i | −0.731622 | − | 0.405455i | ||||
\(583\) | 0.207393 | − | 0.430655i | 0.00858932 | − | 0.0178359i | ||||
\(584\) | −0.297241 | − | 0.542239i | −0.0122999 | − | 0.0224380i | ||||
\(585\) | −3.42218 | − | 1.64804i | −0.141490 | − | 0.0681379i | ||||
\(586\) | −10.0413 | − | 0.575523i | −0.414803 | − | 0.0237746i | ||||
\(587\) | 25.3805 | 1.04756 | 0.523782 | − | 0.851852i | \(-0.324521\pi\) | ||||
0.523782 | + | 0.851852i | \(0.324521\pi\) | |||||||
\(588\) | −9.34040 | + | 10.4287i | −0.385192 | + | 0.430071i | ||||
\(589\) | −36.5173 | −1.50467 | ||||||||
\(590\) | 14.8179 | + | 0.849297i | 0.610044 | + | 0.0349650i | ||||
\(591\) | 1.76867 | + | 0.851745i | 0.0727532 | + | 0.0350361i | ||||
\(592\) | −11.7145 | + | 24.0412i | −0.481465 | + | 0.988088i | ||||
\(593\) | 6.15741 | − | 12.7860i | 0.252855 | − | 0.525058i | −0.735445 | − | 0.677585i | \(-0.763027\pi\) |
0.988299 | + | 0.152527i | \(0.0487410\pi\) | |||||||
\(594\) | −4.93602 | − | 2.73548i | −0.202527 | − | 0.112238i | ||||
\(595\) | 8.04649 | − | 0.230591i | 0.329874 | − | 0.00945332i | ||||
\(596\) | 6.79724 | − | 6.76596i | 0.278426 | − | 0.277145i | ||||
\(597\) | 12.3982 | + | 15.5469i | 0.507425 | + | 0.636291i | ||||
\(598\) | 7.86634 | − | 14.1944i | 0.321678 | − | 0.580451i | ||||
\(599\) | −12.9746 | − | 10.3469i | −0.530128 | − | 0.422763i | 0.321500 | − | 0.946909i | \(-0.395813\pi\) |
−0.851628 | + | 0.524147i | \(0.824384\pi\) | |||||||
\(600\) | 2.45101 | − | 0.129142i | 0.100062 | − | 0.00527222i | ||||
\(601\) | −8.98051 | − | 7.16171i | −0.366322 | − | 0.292132i | 0.422978 | − | 0.906140i | \(-0.360985\pi\) |
−0.789300 | + | 0.614008i | \(0.789556\pi\) | |||||||
\(602\) | −42.2376 | − | 21.8501i | −1.72148 | − | 0.890542i | ||||
\(603\) | −5.99356 | + | 4.77970i | −0.244076 | + | 0.194644i | ||||
\(604\) | 16.9600 | − | 1.87134i | 0.690094 | − | 0.0761437i | ||||
\(605\) | −9.75767 | − | 2.22712i | −0.396706 | − | 0.0905455i | ||||
\(606\) | −5.97168 | − | 8.43689i | −0.242583 | − | 0.342725i | ||||
\(607\) | 20.0156 | 0.812409 | 0.406205 | − | 0.913782i | \(-0.366852\pi\) | ||||
0.406205 | + | 0.913782i | \(0.366852\pi\) | |||||||
\(608\) | −8.12729 | + | 27.6111i | −0.329605 | + | 1.11978i | ||||
\(609\) | 6.91430 | − | 0.198146i | 0.280182 | − | 0.00802927i | ||||
\(610\) | −11.6923 | − | 10.4732i | −0.473408 | − | 0.424046i | ||||
\(611\) | −18.3813 | + | 4.19541i | −0.743627 | + | 0.169728i | ||||
\(612\) | −0.982159 | − | 2.82775i | −0.0397014 | − | 0.114305i | ||||
\(613\) | −30.8347 | − | 38.6654i | −1.24540 | − | 1.56168i | −0.662040 | − | 0.749468i | \(-0.730309\pi\) |
−0.583360 | − | 0.812214i | \(-0.698262\pi\) | |||||||
\(614\) | 18.4425 | + | 16.5195i | 0.744280 | + | 0.666675i | ||||
\(615\) | −4.49735 | − | 19.7042i | −0.181351 | − | 0.794550i | ||||
\(616\) | 29.5564 | + | 4.25891i | 1.19086 | + | 0.171596i | ||||
\(617\) | 0.0797970 | − | 0.349614i | 0.00321251 | − | 0.0140749i | −0.973296 | − | 0.229553i | \(-0.926274\pi\) |
0.976509 | + | 0.215478i | \(0.0691309\pi\) | |||||||
\(618\) | 16.3850 | − | 11.5974i | 0.659099 | − | 0.466514i | ||||
\(619\) | 4.87903 | 0.196105 | 0.0980524 | − | 0.995181i | \(-0.468739\pi\) | ||||
0.0980524 | + | 0.995181i | \(0.468739\pi\) | |||||||
\(620\) | 15.5811 | − | 24.6707i | 0.625752 | − | 0.990799i | ||||
\(621\) | −2.66460 | − | 5.53310i | −0.106927 | − | 0.222036i | ||||
\(622\) | −41.6973 | − | 12.0649i | −1.67191 | − | 0.483758i | ||||
\(623\) | 22.9932 | + | 4.55930i | 0.921204 | + | 0.182665i | ||||
\(624\) | −1.62953 | − | 7.29434i | −0.0652333 | − | 0.292007i | ||||
\(625\) | 4.42998 | − | 19.4090i | 0.177199 | − | 0.776361i | ||||
\(626\) | 17.3447 | + | 0.994118i | 0.693232 | + | 0.0397330i | ||||
\(627\) | 8.80937 | + | 18.2928i | 0.351812 | + | 0.730546i | ||||
\(628\) | −1.17007 | − | 3.36875i | −0.0466907 | − | 0.134428i | ||||
\(629\) | −4.34184 | + | 9.01592i | −0.173120 | + | 0.359488i | ||||
\(630\) | 4.91040 | − | 5.80855i | 0.195635 | − | 0.231418i | ||||
\(631\) | 7.10816 | + | 14.7602i | 0.282971 | + | 0.587596i | 0.993206 | − | 0.116369i | \(-0.0371255\pi\) |
−0.710235 | + | 0.703965i | \(0.751411\pi\) | |||||||
\(632\) | 6.79820 | + | 1.17927i | 0.270418 | + | 0.0469088i | ||||
\(633\) | 14.5974 | − | 3.33176i | 0.580195 | − | 0.132426i | ||||
\(634\) | −40.1443 | + | 6.77318i | −1.59433 | + | 0.268997i | ||||
\(635\) | −8.13413 | + | 10.1999i | −0.322793 | + | 0.404770i | ||||
\(636\) | 0.0796457 | − | 0.225942i | 0.00315816 | − | 0.00895916i | ||||
\(637\) | −9.74235 | + | 8.72733i | −0.386006 | + | 0.345789i | ||||
\(638\) | −8.52390 | − | 12.0427i | −0.337464 | − | 0.476775i | ||||
\(639\) | 8.22923 | + | 6.56259i | 0.325543 | + | 0.259612i | ||||
\(640\) | −15.1860 | − | 17.2717i | −0.600279 | − | 0.682724i | ||||
\(641\) | 3.37841 | + | 14.8018i | 0.133439 | + | 0.584636i | 0.996792 | + | 0.0800350i | \(0.0255032\pi\) |
−0.863353 | + | 0.504601i | \(0.831640\pi\) | |||||||
\(642\) | −0.733800 | − | 4.34920i | −0.0289608 | − | 0.171649i | ||||
\(643\) | 2.32224 | − | 1.11833i | 0.0915803 | − | 0.0441028i | −0.387533 | − | 0.921856i | \(-0.626673\pi\) |
0.479113 | + | 0.877753i | \(0.340958\pi\) | |||||||
\(644\) | 23.5758 | + | 22.3653i | 0.929018 | + | 0.881317i | ||||
\(645\) | 23.2772 | + | 11.2097i | 0.916539 | + | 0.441382i | ||||
\(646\) | −2.99341 | + | 10.3455i | −0.117774 | + | 0.407038i | ||||
\(647\) | −18.6363 | + | 8.97476i | −0.732668 | + | 0.352834i | −0.762733 | − | 0.646714i | \(-0.776143\pi\) |
0.0300651 | + | 0.999548i | \(0.490429\pi\) | |||||||
\(648\) | −2.60937 | − | 1.09142i | −0.102506 | − | 0.0428752i | ||||
\(649\) | 20.0856 | + | 4.58441i | 0.788429 | + | 0.179954i | ||||
\(650\) | 2.28932 | + | 0.131213i | 0.0897944 | + | 0.00514661i | ||||
\(651\) | 4.75397 | + | 18.3840i | 0.186323 | + | 0.720528i | ||||
\(652\) | 14.1450 | + | 40.7252i | 0.553963 | + | 1.59492i | ||||
\(653\) | −39.1849 | + | 18.8704i | −1.53342 | + | 0.738457i | −0.994582 | − | 0.103951i | \(-0.966852\pi\) |
−0.538840 | + | 0.842408i | \(0.681137\pi\) | |||||||
\(654\) | 7.69293 | + | 18.6331i | 0.300818 | + | 0.728613i | ||||
\(655\) | − | 6.92576i | − | 0.270612i | ||||||
\(656\) | 24.9392 | − | 30.9786i | 0.973713 | − | 1.20951i | ||||
\(657\) | −0.213144 | − | 0.0486487i | −0.00831553 | − | 0.00189797i | ||||
\(658\) | 1.07975 | − | 37.7388i | 0.0420931 | − | 1.47121i | ||||
\(659\) | 21.7213 | − | 4.95774i | 0.846141 | − | 0.193126i | 0.222593 | − | 0.974911i | \(-0.428548\pi\) |
0.623548 | + | 0.781785i | \(0.285691\pi\) | |||||||
\(660\) | −16.1172 | − | 1.85362i | −0.627361 | − | 0.0721521i | ||||
\(661\) | 15.2529 | − | 12.1638i | 0.593269 | − | 0.473116i | −0.280236 | − | 0.959931i | \(-0.590413\pi\) |
0.873505 | + | 0.486815i | \(0.161841\pi\) | |||||||
\(662\) | −4.85265 | + | 16.7712i | −0.188604 | + | 0.651832i | ||||
\(663\) | −0.622322 | − | 2.72657i | −0.0241690 | − | 0.105891i | ||||
\(664\) | −17.0752 | + | 9.36019i | −0.662647 | + | 0.363246i | ||||
\(665\) | −26.4934 | + | 6.85098i | −1.02737 | + | 0.265669i | ||||
\(666\) | 3.60828 | + | 8.73966i | 0.139818 | + | 0.338655i | ||||
\(667\) | − | 16.0560i | − | 0.621689i | ||||||
\(668\) | −7.05043 | + | 20.0009i | −0.272789 | + | 0.773858i | ||||
\(669\) | −3.69444 | + | 16.1864i | −0.142835 | + | 0.625803i | ||||
\(670\) | −10.6826 | + | 19.2762i | −0.412705 | + | 0.744703i | ||||
\(671\) | −13.5850 | − | 17.0351i | −0.524443 | − | 0.657631i | ||||
\(672\) | 14.9584 | + | 0.497031i | 0.577032 | + | 0.0191734i | ||||
\(673\) | 12.7712 | − | 16.0146i | 0.492293 | − | 0.617316i | −0.472178 | − | 0.881503i | \(-0.656532\pi\) |
0.964471 | + | 0.264187i | \(0.0851036\pi\) | |||||||
\(674\) | −0.999209 | − | 2.42019i | −0.0384881 | − | 0.0932224i | ||||
\(675\) | 0.541042 | − | 0.678446i | 0.0208247 | − | 0.0261134i | ||||
\(676\) | 2.08566 | + | 18.9024i | 0.0802178 | + | 0.727017i | ||||
\(677\) | −22.0079 | + | 17.5507i | −0.845833 | + | 0.674529i | −0.947313 | − | 0.320308i | \(-0.896214\pi\) |
0.101480 | + | 0.994838i | \(0.467642\pi\) | |||||||
\(678\) | −13.5710 | + | 2.28971i | −0.521191 | + | 0.0879358i | ||||
\(679\) | 28.8294 | − | 24.3739i | 1.10637 | − | 0.935383i | ||||
\(680\) | −5.71208 | − | 6.43649i | −0.219048 | − | 0.246828i | ||||
\(681\) | 6.65061 | + | 3.20276i | 0.254852 | + | 0.122730i | ||||
\(682\) | 27.0236 | − | 30.1693i | 1.03479 | − | 1.15524i | ||||
\(683\) | −17.3776 | + | 36.0850i | −0.664936 | + | 1.38075i | 0.246431 | + | 0.969160i | \(0.420742\pi\) |
−0.911367 | + | 0.411594i | \(0.864972\pi\) | |||||||
\(684\) | 5.39412 | + | 8.62881i | 0.206250 | + | 0.329931i | ||||
\(685\) | 14.3573i | 0.548563i | ||||||||
\(686\) | −12.0365 | − | 23.2620i | −0.459556 | − | 0.888149i | ||||
\(687\) | − | 21.2567i | − | 0.810994i | ||||||
\(688\) | 11.0838 | + | 49.6150i | 0.422566 | + | 1.89155i | ||||
\(689\) | 0.0971122 | − | 0.201656i | 0.00369968 | − | 0.00768247i | ||||
\(690\) | −13.1507 | − | 11.7795i | −0.500638 | − | 0.448437i | ||||
\(691\) | 16.7027 | + | 8.04357i | 0.635399 | + | 0.305992i | 0.723713 | − | 0.690101i | \(-0.242434\pi\) |
−0.0883145 | + | 0.996093i | \(0.528148\pi\) | |||||||
\(692\) | −47.3232 | + | 5.22156i | −1.79896 | + | 0.198494i | ||||
\(693\) | 8.06239 | − | 6.81637i | 0.306265 | − | 0.258932i | ||||
\(694\) | −1.63641 | − | 9.69892i | −0.0621173 | − | 0.368166i | ||||
\(695\) | −17.4938 | + | 13.9508i | −0.663577 | + | 0.529185i | ||||
\(696\) | −4.90835 | − | 5.53084i | −0.186051 | − | 0.209646i | ||||
\(697\) | 9.27825 | − | 11.6346i | 0.351439 | − | 0.440690i | ||||
\(698\) | −20.2631 | + | 8.36588i | −0.766969 | + | 0.316653i | ||||
\(699\) | 15.3177 | − | 19.2078i | 0.579367 | − | 0.726504i | ||||
\(700\) | −1.40188 | + | 4.37255i | −0.0529861 | + | 0.165267i | ||||
\(701\) | −11.5427 | − | 14.4741i | −0.435962 | − | 0.546679i | 0.514512 | − | 0.857483i | \(-0.327973\pi\) |
−0.950474 | + | 0.310804i | \(0.899402\pi\) | |||||||
\(702\) | −2.31131 | − | 1.28090i | −0.0872347 | − | 0.0483443i | ||||
\(703\) | 7.56971 | − | 33.1650i | 0.285497 | − | 1.25084i | ||||
\(704\) | −16.7969 | − | 27.1472i | −0.633058 | − | 1.02315i | ||||
\(705\) | 20.5114i | 0.772503i | ||||||||
\(706\) | 15.7189 | − | 6.48976i | 0.591589 | − | 0.244246i | ||||
\(707\) | 18.7219 | − | 4.84133i | 0.704109 | − | 0.182077i | ||||
\(708\) | 10.2581 | + | 1.17978i | 0.385524 | + | 0.0443387i | ||||
\(709\) | −5.29682 | − | 23.2069i | −0.198926 | − | 0.871553i | −0.971577 | − | 0.236722i | \(-0.923927\pi\) |
0.772651 | − | 0.634831i | \(-0.218930\pi\) | |||||||
\(710\) | 29.0667 | + | 8.41027i | 1.09085 | + | 0.315632i | ||||
\(711\) | 1.90722 | − | 1.52095i | 0.0715262 | − | 0.0570402i | ||||
\(712\) | −12.0457 | − | 21.9743i | −0.451433 | − | 0.823523i | ||||
\(713\) | 42.9713 | − | 9.80793i | 1.60929 | − | 0.367310i | ||||
\(714\) | 5.59796 | + | 0.160164i | 0.209498 | + | 0.00599399i | ||||
\(715\) | −14.7770 | − | 3.37276i | −0.552629 | − | 0.126134i | ||||
\(716\) | −44.8703 | − | 15.8170i | −1.67688 | − | 0.591110i | ||||
\(717\) | 18.5254i | 0.691846i | ||||||||
\(718\) | −31.1165 | + | 12.8469i | −1.16126 | + | 0.479441i | ||||
\(719\) | 47.0030 | − | 22.6355i | 1.75292 | − | 0.844160i | 0.775942 | − | 0.630804i | \(-0.217275\pi\) |
0.976974 | − | 0.213356i | \(-0.0684396\pi\) | |||||||
\(720\) | −8.13107 | − | 0.0375013i | −0.303027 | − | 0.00139759i | ||||
\(721\) | 9.40216 | + | 36.3590i | 0.350155 | + | 1.35408i | ||||
\(722\) | 0.557420 | − | 9.72546i | 0.0207450 | − | 0.361944i | ||||
\(723\) | −12.7401 | − | 2.90785i | −0.473810 | − | 0.108144i | ||||
\(724\) | 1.42942 | − | 0.893572i | 0.0531239 | − | 0.0332093i | ||||
\(725\) | 2.04404 | − | 0.984357i | 0.0759137 | − | 0.0365581i | ||||
\(726\) | −6.68863 | − | 1.93532i | −0.248238 | − | 0.0718264i | ||||
\(727\) | −2.47862 | − | 1.19364i | −0.0919271 | − | 0.0442698i | 0.387355 | − | 0.921931i | \(-0.373389\pi\) |
−0.479282 | + | 0.877661i | \(0.659103\pi\) | |||||||
\(728\) | 13.8399 | + | 1.99425i | 0.512940 | + | 0.0739117i | ||||
\(729\) | −0.900969 | + | 0.433884i | −0.0333692 | + | 0.0160698i | ||||
\(730\) | −0.619744 | + | 0.104564i | −0.0229378 | + | 0.00387008i | ||||
\(731\) | 4.23294 | + | 18.5457i | 0.156561 | + | 0.685939i | ||||
\(732\) | −7.70409 | − | 7.73970i | −0.284751 | − | 0.286068i | ||||
\(733\) | 29.2741 | + | 23.3453i | 1.08126 | + | 0.862279i | 0.991030 | − | 0.133642i | \(-0.0426671\pi\) |
0.0902339 | + | 0.995921i | \(0.471239\pi\) | |||||||
\(734\) | 24.9967 | − | 17.6928i | 0.922645 | − | 0.653054i | ||||
\(735\) | 6.89802 | + | 12.4458i | 0.254437 | + | 0.459069i | ||||
\(736\) | 2.14784 | − | 34.6738i | 0.0791703 | − | 1.27809i | ||||
\(737\) | −19.0731 | + | 23.9169i | −0.702566 | + | 0.880990i | ||||
\(738\) | −2.33928 | − | 13.8648i | −0.0861100 | − | 0.510370i | ||||
\(739\) | −36.7956 | + | 8.39835i | −1.35355 | + | 0.308938i | −0.836945 | − | 0.547288i | \(-0.815660\pi\) |
−0.516602 | + | 0.856226i | \(0.672803\pi\) | |||||||
\(740\) | 19.1761 | + | 19.2648i | 0.704928 | + | 0.708187i | ||||
\(741\) | 4.12502 | + | 8.56568i | 0.151536 | + | 0.314668i | ||||
\(742\) | 0.342275 | + | 0.289350i | 0.0125653 | + | 0.0106224i | ||||
\(743\) | 0.272580 | − | 0.566019i | 0.0100000 | − | 0.0207652i | −0.895909 | − | 0.444238i | \(-0.853475\pi\) |
0.905909 | + | 0.423472i | \(0.139189\pi\) | |||||||
\(744\) | 11.8041 | − | 16.5150i | 0.432761 | − | 0.605471i | ||||
\(745\) | −4.22946 | − | 8.78255i | −0.154955 | − | 0.321768i | ||||
\(746\) | 1.01724 | − | 17.7480i | 0.0372437 | − | 0.649802i | ||||
\(747\) | −1.53196 | + | 6.71194i | −0.0560514 | + | 0.245577i | ||||
\(748\) | −6.33189 | − | 10.1289i | −0.231517 | − | 0.370350i | ||||
\(749\) | 8.09401 | + | 1.60495i | 0.295749 | + | 0.0586438i | ||||
\(750\) | 4.68853 | − | 16.2040i | 0.171201 | − | 0.591686i | ||||
\(751\) | −5.86847 | − | 12.1860i | −0.214143 | − | 0.444673i | 0.766033 | − | 0.642802i | \(-0.222228\pi\) |
−0.980176 | + | 0.198128i | \(0.936514\pi\) | |||||||
\(752\) | −31.6712 | + | 25.0189i | −1.15493 | + | 0.912345i | ||||
\(753\) | −4.89390 | −0.178344 | ||||||||
\(754\) | −3.99134 | − | 5.63903i | −0.145356 | − | 0.205362i | ||||
\(755\) | 3.85911 | − | 16.9079i | 0.140448 | − | 0.615341i | ||||
\(756\) | 3.64180 | − | 3.83892i | 0.132451 | − | 0.139620i | ||||
\(757\) | −2.19896 | − | 9.63429i | −0.0799227 | − | 0.350164i | 0.919117 | − | 0.393985i | \(-0.128904\pi\) |
−0.999039 | + | 0.0438211i | \(0.986047\pi\) | |||||||
\(758\) | 9.32576 | − | 10.4113i | 0.338727 | − | 0.378157i | ||||
\(759\) | −15.2795 | − | 19.1598i | −0.554610 | − | 0.695458i | ||||
\(760\) | 23.7999 | + | 17.0110i | 0.863313 | + | 0.617054i | ||||
\(761\) | 16.4819 | − | 3.76188i | 0.597467 | − | 0.136368i | 0.0869163 | − | 0.996216i | \(-0.472299\pi\) |
0.510551 | + | 0.859848i | \(0.329442\pi\) | |||||||
\(762\) | −6.05569 | + | 6.76062i | −0.219375 | + | 0.244911i | ||||
\(763\) | −37.6981 | + | 1.08033i | −1.36476 | + | 0.0391105i | ||||
\(764\) | −11.0501 | + | 17.4964i | −0.399778 | + | 0.632998i | ||||
\(765\) | −3.04254 | −0.110003 | ||||||||
\(766\) | −1.73876 | + | 1.23070i | −0.0628239 | + | 0.0444672i | ||||
\(767\) | 9.40514 | + | 2.14666i | 0.339600 | + | 0.0775115i | ||||
\(768\) | −9.86003 | − | 12.6008i | −0.355793 | − | 0.454692i | ||||
\(769\) | 23.5446 | − | 18.7762i | 0.849038 | − | 0.677086i | −0.0990535 | − | 0.995082i | \(-0.531581\pi\) |
0.948092 | + | 0.317997i | \(0.103010\pi\) | |||||||
\(770\) | 13.9456 | − | 26.9577i | 0.502565 | − | 0.971490i | ||||
\(771\) | −4.95715 | − | 3.95320i | −0.178528 | − | 0.142371i | ||||
\(772\) | 29.5586 | + | 18.6681i | 1.06384 | + | 0.671880i | ||||
\(773\) | −2.90090 | − | 2.31339i | −0.104338 | − | 0.0832068i | 0.569931 | − | 0.821692i | \(-0.306970\pi\) |
−0.674269 | + | 0.738486i | \(0.735541\pi\) | |||||||
\(774\) | 15.7212 | + | 8.71247i | 0.565086 | + | 0.313163i | ||||
\(775\) | 3.88311 | + | 4.86926i | 0.139485 | + | 0.174909i | ||||
\(776\) | −39.7648 | − | 6.89791i | −1.42747 | − | 0.247621i | ||||
\(777\) | −17.6819 | + | 0.506715i | −0.634333 | + | 0.0181783i | ||||
\(778\) | 11.8891 | − | 21.4533i | 0.426246 | − | 0.769137i | ||||
\(779\) | −21.9492 | + | 45.5779i | −0.786411 | + | 1.63300i | ||||
\(780\) | −7.54693 | − | 0.867964i | −0.270223 | − | 0.0310781i | ||||
\(781\) | 37.8422 | + | 18.2238i | 1.35410 | + | 0.652100i | ||||
\(782\) | 0.743836 | − | 12.9779i | 0.0265995 | − | 0.464089i | ||||
\(783\) | −2.61443 | −0.0934322 | ||||||||
\(784\) | −10.8034 | + | 25.8319i | −0.385834 | + | 0.922568i | ||||
\(785\) | −3.62463 | −0.129369 | ||||||||
\(786\) | 0.275708 | − | 4.81036i | 0.00983419 | − | 0.171580i | ||||
\(787\) | 40.0839 | + | 19.3034i | 1.42884 | + | 0.688091i | 0.978781 | − | 0.204910i | \(-0.0656901\pi\) |
0.450055 | + | 0.893001i | \(0.351404\pi\) | |||||||
\(788\) | 3.90043 | + | 0.448584i | 0.138947 | + | 0.0159802i | ||||
\(789\) | 1.54640 | − | 3.21113i | 0.0550532 | − | 0.114319i | ||||
\(790\) | 3.39932 | − | 6.13389i | 0.120942 | − | 0.218234i | ||||
\(791\) | 5.00802 | − | 25.2561i | 0.178065 | − | 0.898005i | ||||
\(792\) | −11.1206 | − | 1.92906i | −0.395153 | − | 0.0685463i | ||||
\(793\) | −6.36122 | − | 7.97672i | −0.225894 | − | 0.283262i | ||||
\(794\) | 39.9061 | + | 22.1155i | 1.41622 | + | 0.784848i | ||||
\(795\) | −0.190373 | − | 0.151817i | −0.00675183 | − | 0.00538441i | ||||
\(796\) | 33.6257 | + | 21.2367i | 1.19183 | + | 0.752716i | ||||
\(797\) | −6.51515 | − | 5.19566i | −0.230778 | − | 0.184040i | 0.501273 | − | 0.865289i | \(-0.332865\pi\) |
−0.732051 | + | 0.681250i | \(0.761437\pi\) | |||||||
\(798\) | −18.6740 | + | 3.70374i | −0.661052 | + | 0.131111i | ||||
\(799\) | −11.8075 | + | 9.41618i | −0.417720 | + | 0.333121i | ||||
\(800\) | 4.54591 | − | 1.85235i | 0.160722 | − | 0.0654904i | ||||
\(801\) | −8.63769 | − | 1.97150i | −0.305198 | − | 0.0696594i | ||||
\(802\) | 37.9250 | − | 26.8436i | 1.33918 | − | 0.947879i | ||||
\(803\) | −0.872410 | −0.0307867 | ||||||||
\(804\) | −8.18708 | + | 12.9632i | −0.288736 | + | 0.457177i | ||||
\(805\) | 29.3357 | − | 15.1775i | 1.03395 | − | 0.534935i | ||||
\(806\) | 12.6539 | − | 14.1269i | 0.445714 | − | 0.497598i | ||||
\(807\) | −7.66149 | + | 1.74869i | −0.269697 | + | 0.0615567i | ||||
\(808\) | −16.8185 | − | 12.0211i | −0.591673 | − | 0.422899i | ||||
\(809\) | 32.5014 | + | 40.7555i | 1.14269 | + | 1.43289i | 0.884345 | + | 0.466835i | \(0.154606\pi\) |
0.258345 | + | 0.966053i | \(0.416823\pi\) | |||||||
\(810\) | −1.91808 | + | 2.14136i | −0.0673946 | + | 0.0752398i | ||||
\(811\) | −6.31976 | − | 27.6887i | −0.221917 | − | 0.972281i | −0.956033 | − | 0.293258i | \(-0.905261\pi\) |
0.734117 | − | 0.679024i | \(-0.237597\pi\) | |||||||
\(812\) | 12.9331 | − | 4.91154i | 0.453861 | − | 0.172361i | ||||
\(813\) | −1.00264 | + | 4.39285i | −0.0351641 | + | 0.154064i | ||||
\(814\) | 21.7981 | + | 30.7967i | 0.764021 | + | 1.07942i | ||||
\(815\) | 43.8186 | 1.53490 | ||||||||
\(816\) | −3.71115 | − | 4.69793i | −0.129916 | − | 0.164460i | ||||
\(817\) | −28.0578 | − | 58.2625i | −0.981616 | − | 2.03835i | ||||
\(818\) | −7.92935 | + | 27.4046i | −0.277243 | + | 0.958178i | ||||
\(819\) | 3.77524 | − | 3.19179i | 0.131918 | − | 0.111530i | ||||
\(820\) | −21.4267 | − | 34.2757i | −0.748254 | − | 1.19696i | ||||
\(821\) | 1.71151 | − | 7.49860i | 0.0597320 | − | 0.261703i | −0.936241 | − | 0.351359i | \(-0.885720\pi\) |
0.995973 | + | 0.0896560i | \(0.0285768\pi\) | |||||||
\(822\) | −0.571550 | + | 9.97200i | −0.0199351 | + | 0.347813i | ||||
\(823\) | −20.2503 | − | 42.0502i | −0.705882 | − | 1.46578i | −0.876981 | − | 0.480525i | \(-0.840446\pi\) |
0.171100 | − | 0.985254i | \(-0.445268\pi\) | |||||||
\(824\) | 23.3456 | − | 32.6626i | 0.813283 | − | 1.13785i | ||||
\(825\) | 1.50244 | − | 3.11984i | 0.0523081 | − | 0.108619i | ||||
\(826\) | −8.87598 | + | 17.1578i | −0.308835 | + | 0.596997i | ||||
\(827\) | −22.9906 | − | 47.7404i | −0.799460 | − | 1.66010i | −0.750108 | − | 0.661315i | \(-0.769999\pi\) |
−0.0493520 | − | 0.998781i | \(-0.515716\pi\) | |||||||
\(828\) | −8.66502 | − | 8.70508i | −0.301130 | − | 0.302522i | ||||
\(829\) | −8.53354 | + | 1.94772i | −0.296382 | + | 0.0676473i | −0.368126 | − | 0.929776i | \(-0.620001\pi\) |
0.0717443 | + | 0.997423i | \(0.477143\pi\) | |||||||
\(830\) | 3.29273 | + | 19.5159i | 0.114292 | + | 0.677406i | ||||
\(831\) | −14.9676 | + | 18.7688i | −0.519221 | + | 0.651082i | ||||
\(832\) | −7.86521 | − | 12.7118i | −0.272677 | − | 0.440702i | ||||
\(833\) | −3.99780 | + | 9.68439i | −0.138516 | + | 0.335544i | ||||
\(834\) | −12.7059 | + | 8.99328i | −0.439968 | + | 0.311412i | ||||
\(835\) | 16.8523 | + | 13.4393i | 0.583197 | + | 0.465084i | ||||
\(836\) | 28.6472 | + | 28.7797i | 0.990785 | + | 0.995365i | ||||
\(837\) | −1.59705 | − | 6.99714i | −0.0552022 | − | 0.241856i | ||||
\(838\) | −28.4676 | + | 4.80308i | −0.983397 | + | 0.165919i | ||||
\(839\) | −10.6175 | + | 5.11313i | −0.366558 | + | 0.176525i | −0.608090 | − | 0.793868i | \(-0.708064\pi\) |
0.241533 | + | 0.970393i | \(0.422350\pi\) | |||||||
\(840\) | 5.46555 | − | 14.1962i | 0.188579 | − | 0.489817i | ||||
\(841\) | 19.9697 | + | 9.61692i | 0.688612 | + | 0.331618i | ||||
\(842\) | 40.0782 | + | 11.5964i | 1.38118 | + | 0.399638i | ||||
\(843\) | −14.9222 | + | 7.18616i | −0.513948 | + | 0.247504i | ||||
\(844\) | 25.3924 | − | 15.8735i | 0.874041 | − | 0.546389i | ||||
\(845\) | 18.8443 | + | 4.30110i | 0.648265 | + | 0.147962i | ||||
\(846\) | −0.816539 | + | 14.2464i | −0.0280732 | + | 0.489801i | ||||
\(847\) | 7.82686 | − | 10.4131i | 0.268934 | − | 0.357797i | ||||
\(848\) | 0.00220980 | − | 0.479132i | 7.58849e−5 | − | 0.0164534i | ||||
\(849\) | 11.7795 | − | 5.67271i | 0.404271 | − | 0.194687i | ||||
\(850\) | 1.69779 | − | 0.700953i | 0.0582336 | − | 0.0240425i | ||||
\(851\) | 41.0597i | 1.40751i | ||||||||
\(852\) | 19.8538 | + | 6.99856i | 0.680178 | + | 0.239767i | ||||
\(853\) | −25.6765 | − | 5.86050i | −0.879147 | − | 0.200660i | −0.240955 | − | 0.970536i | \(-0.577461\pi\) |
−0.638193 | + | 0.769877i | \(0.720318\pi\) | |||||||
\(854\) | 18.6530 | − | 8.33431i | 0.638293 | − | 0.285194i | ||||
\(855\) | 10.0836 | − | 2.30152i | 0.344852 | − | 0.0787103i | ||||
\(856\) | −4.24031 | − | 7.73535i | −0.144931 | − | 0.264389i | ||||
\(857\) | 34.7737 | − | 27.7311i | 1.18785 | − | 0.947275i | 0.188452 | − | 0.982082i | \(-0.439653\pi\) |
0.999394 | + | 0.0348070i | \(0.0110816\pi\) | |||||||
\(858\) | −10.1293 | − | 2.93084i | −0.345807 | − | 0.100057i | ||||
\(859\) | 3.12090 | + | 13.6735i | 0.106484 | + | 0.466535i | 0.999852 | + | 0.0172100i | \(0.00547837\pi\) |
−0.893368 | + | 0.449325i | \(0.851664\pi\) | |||||||
\(860\) | 51.3331 | + | 5.90376i | 1.75044 | + | 0.201317i | ||||
\(861\) | 25.8029 | + | 5.11643i | 0.879360 | + | 0.174368i | ||||
\(862\) | 9.30829 | − | 3.84305i | 0.317041 | − | 0.130895i | ||||
\(863\) | 34.1919i | 1.16391i | 0.813222 | + | 0.581953i | \(0.197711\pi\) | ||||
−0.813222 | + | 0.581953i | \(0.802289\pi\) | |||||||
\(864\) | −5.64603 | − | 0.349738i | −0.192082 | − | 0.0118983i | ||||
\(865\) | −10.7680 | + | 47.1777i | −0.366123 | + | 1.60409i | ||||
\(866\) | 16.9509 | + | 9.39398i | 0.576016 | + | 0.319220i | ||||
\(867\) | 9.20259 | + | 11.5397i | 0.312536 | + | 0.391908i | ||||
\(868\) | 21.0453 | + | 31.6131i | 0.714323 | + | 1.07302i | ||||
\(869\) | 6.06927 | − | 7.61062i | 0.205886 | − | 0.258173i | ||||
\(870\) | −6.94716 | + | 2.86823i | −0.235531 | + | 0.0972421i | ||||
\(871\) | −8.93103 | + | 11.1992i | −0.302617 | + | 0.379469i | ||||
\(872\) | 26.7613 | + | 30.1551i | 0.906250 | + | 1.02118i | ||||
\(873\) | −11.1559 | + | 8.89654i | −0.377570 | + | 0.301102i | ||||
\(874\) | 7.35187 | + | 43.5742i | 0.248681 | + | 1.47392i | ||||
\(875\) | 25.2268 | + | 18.9615i | 0.852822 | + | 0.641014i | ||||
\(876\) | −0.434613 | + | 0.0479544i | −0.0146842 | + | 0.00162023i | ||||
\(877\) | 29.3084 | + | 14.1142i | 0.989674 | + | 0.476602i | 0.857422 | − | 0.514614i | \(-0.172065\pi\) |
0.132252 | + | 0.991216i | \(0.457779\pi\) | |||||||
\(878\) | −2.75728 | − | 2.46978i | −0.0930536 | − | 0.0833510i | ||||
\(879\) | −3.08575 | + | 6.40763i | −0.104080 | + | 0.216124i | ||||
\(880\) | −31.6663 | + | 7.07414i | −1.06747 | + | 0.238469i | ||||
\(881\) | 25.2740i | 0.851501i | 0.904841 | + | 0.425751i | \(0.139990\pi\) | ||||
−0.904841 | + | 0.425751i | \(0.860010\pi\) | |||||||
\(882\) | 4.29564 | + | 8.91894i | 0.144642 | + | 0.300316i | ||||
\(883\) | − | 48.3765i | − | 1.62800i | −0.580866 | − | 0.813999i | \(-0.697286\pi\) | ||
0.580866 | − | 0.813999i | \(-0.302714\pi\) | |||||||
\(884\) | −2.96493 | − | 4.74290i | −0.0997213 | − | 0.159521i | ||||
\(885\) | 4.55363 | − | 9.45571i | 0.153069 | − | 0.317850i | ||||
\(886\) | 9.33921 | − | 10.4264i | 0.313757 | − | 0.350280i | ||||
\(887\) | 14.1572 | + | 6.81777i | 0.475354 | + | 0.228918i | 0.656191 | − | 0.754595i | \(-0.272166\pi\) |
−0.180837 | + | 0.983513i | \(0.557881\pi\) | |||||||
\(888\) | 12.5521 | + | 14.1439i | 0.421220 | + | 0.474639i | ||||
\(889\) | −7.80256 | − | 15.0811i | −0.261690 | − | 0.505805i | ||||
\(890\) | −25.1152 | + | 4.23746i | −0.841865 | + | 0.142040i | ||||
\(891\) | −3.11985 | + | 2.48800i | −0.104519 | + | 0.0833510i | ||||
\(892\) | 3.64172 | + | 33.0050i | 0.121934 | + | 1.10509i | ||||
\(893\) | 32.0098 | − | 40.1390i | 1.07117 | − | 1.34320i | ||||
\(894\) | −2.58799 | − | 6.26839i | −0.0865553 | − | 0.209646i | ||||
\(895\) | −30.1498 | + | 37.8066i | −1.00780 | + | 1.26374i | ||||
\(896\) | 28.5868 | − | 8.87670i | 0.955017 | − | 0.296550i | ||||
\(897\) | −7.15466 | − | 8.97166i | −0.238887 | − | 0.299555i | ||||
\(898\) | −2.49932 | + | 4.50989i | −0.0834034 | + | 0.150497i | ||||
\(899\) | 4.17538 | − | 18.2935i | 0.139257 | − | 0.610124i | ||||
\(900\) | 0.576985 | − | 1.63681i | 0.0192328 | − | 0.0545604i | ||||
\(901\) | − | 0.179285i | − | 0.00597283i | ||||||
\(902\) | −21.4120 | − | 51.8622i | −0.712942 | − | 1.72682i | ||||
\(903\) | −25.6786 | + | 21.7101i | −0.854532 | + | 0.722466i | ||||
\(904\) | −24.1370 | + | 13.2313i | −0.802784 | + | 0.440065i | ||||
\(905\) | −0.381261 | − | 1.67042i | −0.0126736 | − | 0.0555265i | ||||
\(906\) | 3.35348 | − | 11.5899i | 0.111412 | − | 0.385049i | ||||
\(907\) | −32.1627 | + | 25.6489i | −1.06794 | + | 0.851657i | −0.989395 | − | 0.145253i | \(-0.953600\pi\) |
−0.0785501 | + | 0.996910i | \(0.525029\pi\) | |||||||
\(908\) | 14.6666 | + | 1.68678i | 0.486727 | + | 0.0559779i | ||||
\(909\) | −7.12572 | + | 1.62640i | −0.236345 | + | 0.0539442i | ||||
\(910\) | 6.53007 | − | 12.6230i | 0.216470 | − | 0.418450i | ||||
\(911\) | 10.3852 | + | 2.37035i | 0.344077 | + | 0.0785333i | 0.391067 | − | 0.920362i | \(-0.372106\pi\) |
−0.0469905 | + | 0.998895i | \(0.514963\pi\) | |||||||
\(912\) | 15.8533 | + | 12.7626i | 0.524955 | + | 0.422613i | ||||
\(913\) | 27.4724i | 0.909203i | ||||||||
\(914\) | −6.59293 | − | 15.9688i | −0.218075 | − | 0.528201i | ||||
\(915\) | −10.0003 | + | 4.81588i | −0.330599 | + | 0.159208i | ||||
\(916\) | −13.9487 | − | 40.1600i | −0.460878 | − | 1.32692i | ||||
\(917\) | 8.23016 | + | 3.67684i | 0.271784 | + | 0.121420i | ||||
\(918\) | −2.11323 | − | 0.121121i | −0.0697469 | − | 0.00399758i | ||||
\(919\) | −21.3471 | − | 4.87232i | −0.704174 | − | 0.160723i | −0.144584 | − | 0.989493i | \(-0.546184\pi\) |
−0.559590 | + | 0.828769i | \(0.689041\pi\) | |||||||
\(920\) | −32.5751 | − | 13.6253i | −1.07397 | − | 0.449212i | ||||
\(921\) | 15.7737 | − | 7.59620i | 0.519760 | − | 0.250303i | ||||
\(922\) | −2.60447 | + | 9.00128i | −0.0857735 | + | 0.296441i | ||||
\(923\) | 17.7197 | + | 8.53337i | 0.583252 | + | 0.280879i | ||||
\(924\) | 10.7592 | − | 18.1686i | 0.353953 | − | 0.597704i | ||||
\(925\) | −5.22720 | + | 2.51728i | −0.171869 | + | 0.0827678i | ||||
\(926\) | 1.01533 | + | 6.01778i | 0.0333657 | + | 0.197757i | ||||
\(927\) | −3.15856 | − | 13.8386i | −0.103741 | − | 0.454519i | ||||
\(928\) | −12.9026 | − | 7.22845i | −0.423550 | − | 0.237285i | ||||
\(929\) | −2.10664 | − | 1.67999i | −0.0691167 | − | 0.0551188i | 0.588322 | − | 0.808627i | \(-0.299789\pi\) |
−0.657439 | + | 0.753508i | \(0.728360\pi\) | |||||||
\(930\) | −11.9201 | − | 16.8410i | −0.390876 | − | 0.552237i | ||||
\(931\) | 5.92384 | − | 35.1202i | 0.194146 | − | 1.15102i | ||||
\(932\) | 16.3353 | − | 46.3404i | 0.535079 | − | 1.51793i | ||||
\(933\) | −19.1373 | + | 23.9974i | −0.626528 | + | 0.785641i | ||||
\(934\) | −15.2405 | + | 2.57140i | −0.498686 | + | 0.0841387i | ||||
\(935\) | −11.8366 | + | 2.70164i | −0.387100 | + | 0.0883530i | ||||
\(936\) | −5.20725 | − | 0.903290i | −0.170204 | − | 0.0295250i | ||||
\(937\) | −14.1418 | − | 29.3658i | −0.461994 | − | 0.959340i | −0.993664 | − | 0.112389i | \(-0.964150\pi\) |
0.531670 | − | 0.846951i | \(-0.321565\pi\) | |||||||
\(938\) | −17.2353 | − | 22.9281i | −0.562753 | − | 0.748630i | ||||
\(939\) | 5.33011 | − | 11.0681i | 0.173942 | − | 0.361193i | ||||
\(940\) | 13.4596 | + | 38.7518i | 0.439004 | + | 1.26394i | ||||
\(941\) | −9.68579 | − | 20.1127i | −0.315748 | − | 0.655657i | 0.681336 | − | 0.731971i | \(-0.261399\pi\) |
−0.997084 | + | 0.0763138i | \(0.975685\pi\) | |||||||
\(942\) | −2.51753 | − | 0.144294i | −0.0820255 | − | 0.00470134i | ||||
\(943\) | 13.5870 | − | 59.5285i | 0.442453 | − | 1.93851i | ||||
\(944\) | 20.1547 | − | 4.50249i | 0.655980 | − | 0.146543i | ||||
\(945\) | −2.47139 | − | 4.77681i | −0.0803942 | − | 0.155390i | ||||
\(946\) | 68.8978 | + | 19.9352i | 2.24006 | + | 0.648148i | ||||
\(947\) | 6.84809 | + | 14.2202i | 0.222533 | + | 0.462094i | 0.982106 | − | 0.188327i | \(-0.0603066\pi\) |
−0.759573 | + | 0.650422i | \(0.774592\pi\) | |||||||
\(948\) | 2.60522 | − | 4.12503i | 0.0846136 | − | 0.133975i | ||||
\(949\) | −0.408509 | −0.0132608 | ||||||||
\(950\) | −5.09659 | + | 3.60739i | −0.165355 | + | 0.117039i | ||||
\(951\) | −6.40582 | + | 28.0658i | −0.207723 | + | 0.910094i | ||||
\(952\) | 10.6812 | − | 3.37080i | 0.346181 | − | 0.109248i | ||||
\(953\) | 6.77201 | + | 29.6701i | 0.219367 | + | 0.961109i | 0.957947 | + | 0.286944i | \(0.0926394\pi\) |
−0.738580 | + | 0.674165i | \(0.764504\pi\) | |||||||
\(954\) | −0.126182 | − | 0.113025i | −0.00408529 | − | 0.00365932i | ||||
\(955\) | 13.1138 | + | 16.4442i | 0.424354 | + | 0.532123i | ||||
\(956\) | 12.1565 | + | 34.9998i | 0.393168 | + | 1.13198i | ||||
\(957\) | −10.1712 | + | 2.32150i | −0.328787 | + | 0.0750434i | ||||
\(958\) | −9.08546 | − | 8.13813i | −0.293538 | − | 0.262931i | ||||
\(959\) | −17.0613 | − | 7.62217i | −0.550939 | − | 0.246133i | ||||
\(960\) | −15.3865 | + | 5.26479i | −0.496598 | + | 0.169920i | ||||
\(961\) | 20.5105 | 0.661629 | ||||||||
\(962\) | 10.2070 | + | 14.4206i | 0.329087 | + | 0.464940i | ||||
\(963\) | −3.04062 | − | 0.694001i | −0.0979825 | − | 0.0223639i | ||||
\(964\) | −25.9778 | + | 2.86635i | −0.836690 | + | 0.0923189i | ||||
\(965\) | 27.7810 | − | 22.1546i | 0.894303 | − | 0.713183i | ||||
\(966\) | 20.9796 | − | 9.37385i | 0.675008 | − | 0.301599i | ||||
\(967\) | 44.3017 | + | 35.3294i | 1.42465 | + | 1.13612i | 0.969323 | + | 0.245791i | \(0.0790478\pi\) |
0.455323 | + | 0.890326i | \(0.349524\pi\) | |||||||
\(968\) | −13.9067 | + | 0.732737i | −0.446978 | + | 0.0235511i | ||||
\(969\) | 5.95398 | + | 4.74814i | 0.191269 | + | 0.152532i | ||||
\(970\) | −19.8837 | + | 35.8790i | −0.638427 | + | 1.15201i | ||||
\(971\) | −35.1852 | − | 44.1208i | −1.12915 | − | 1.41590i | −0.896332 | − | 0.443383i | \(-0.853778\pi\) |
−0.232814 | − | 0.972521i | \(-0.574793\pi\) | |||||||
\(972\) | −1.41747 | + | 1.41095i | −0.0454654 | + | 0.0452562i | ||||
\(973\) | −7.29099 | − | 28.1949i | −0.233738 | − | 0.903888i | ||||
\(974\) | 31.7863 | + | 17.6155i | 1.01850 | + | 0.564438i | ||||
\(975\) | 0.703520 | − | 1.46087i | 0.0225307 | − | 0.0467854i | ||||
\(976\) | −19.6340 | − | 9.56706i | −0.628470 | − | 0.306234i | ||||
\(977\) | −41.5636 | − | 20.0160i | −1.32974 | − | 0.640368i | −0.372060 | − | 0.928209i | \(-0.621348\pi\) |
−0.957678 | + | 0.287841i | \(0.907063\pi\) | |||||||
\(978\) | 30.4347 | + | 1.74438i | 0.973194 | + | 0.0557791i | ||||
\(979\) | −35.3546 | −1.12994 | ||||||||
\(980\) | 21.1993 | + | 18.9871i | 0.677186 | + | 0.606520i | ||||
\(981\) | 14.2544 | 0.455107 | ||||||||
\(982\) | 53.7349 | + | 3.07984i | 1.71475 | + | 0.0982818i | ||||
\(983\) | 31.3657 | + | 15.1049i | 1.00041 | + | 0.481772i | 0.861077 | − | 0.508474i | \(-0.169790\pi\) |
0.139332 | + | 0.990246i | \(0.455505\pi\) | |||||||
\(984\) | −13.5177 | − | 24.6595i | −0.430928 | − | 0.786116i | ||||
\(985\) | 1.73142 | − | 3.59533i | 0.0551676 | − | 0.114557i | ||||
\(986\) | −4.84036 | − | 2.68246i | −0.154148 | − | 0.0854270i | ||||
\(987\) | −24.3745 | − | 10.8893i | −0.775848 | − | 0.346611i | ||||
\(988\) | 13.4142 | + | 13.4762i | 0.426761 | + | 0.428734i | ||||
\(989\) | 48.6649 | + | 61.0239i | 1.54746 | + | 1.94045i | ||||
\(990\) | −5.56065 | + | 10.0339i | −0.176729 | + | 0.318898i | ||||
\(991\) | −31.6182 | − | 25.2146i | −1.00438 | − | 0.800970i | −0.0243307 | − | 0.999704i | \(-0.507745\pi\) |
−0.980053 | + | 0.198734i | \(0.936317\pi\) | |||||||
\(992\) | 11.4642 | − | 38.9475i | 0.363988 | − | 1.23658i | ||||
\(993\) | 9.65209 | + | 7.69728i | 0.306300 | + | 0.244266i | ||||
\(994\) | −25.4255 | + | 30.0761i | −0.806449 | + | 0.953956i | ||||
\(995\) | 31.6035 | − | 25.2030i | 1.00190 | − | 0.798988i | ||||
\(996\) | 1.51009 | + | 13.6860i | 0.0478492 | + | 0.433659i | ||||
\(997\) | −30.6498 | − | 6.99562i | −0.970690 | − | 0.221554i | −0.292358 | − | 0.956309i | \(-0.594440\pi\) |
−0.678332 | + | 0.734756i | \(0.737297\pi\) | |||||||
\(998\) | 11.5266 | + | 16.2850i | 0.364868 | + | 0.515491i | ||||
\(999\) | 6.68586 | 0.211531 |
(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 | 588.2.x.a.55.15 | ✓ | 168 | |
4.3 | odd | 2 | 588.2.x.b.55.26 | yes | 168 | ||
49.41 | odd | 14 | 588.2.x.b.139.26 | yes | 168 | ||
196.139 | even | 14 | inner | 588.2.x.a.139.15 | yes | 168 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
588.2.x.a.55.15 | ✓ | 168 | 1.1 | even | 1 | trivial | |
588.2.x.a.139.15 | yes | 168 | 196.139 | even | 14 | inner | |
588.2.x.b.55.26 | yes | 168 | 4.3 | odd | 2 | ||
588.2.x.b.139.26 | yes | 168 | 49.41 | odd | 14 |