Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [175,2,Mod(4,175)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(175, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([3, 20]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("175.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 175 = 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 175.t (of order \(30\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.39738203537\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 79.1 | ||
Character | \(\chi\) | \(=\) | 175.79 |
Dual form | 175.2.t.a.144.1 |
$q$-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 \(\left(\mathbb{Z}/175\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{1}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.00745 | + | 1.80752i | −1.41948 | + | 1.27811i | −0.511383 | + | 0.859353i | \(0.670866\pi\) |
−0.908100 | + | 0.418754i | \(0.862467\pi\) | |||||||
\(3\) | 2.40056 | + | 0.252309i | 1.38596 | + | 0.145671i | 0.767957 | − | 0.640501i | \(-0.221273\pi\) |
0.618008 | + | 0.786172i | \(0.287940\pi\) | |||||||
\(4\) | 0.553685 | − | 5.26796i | 0.276842 | − | 2.63398i | ||||
\(5\) | −1.62725 | − | 1.53364i | −0.727730 | − | 0.685864i | ||||
\(6\) | −5.27506 | + | 3.83256i | −2.15354 | + | 1.56464i | ||||
\(7\) | 2.42948 | − | 1.04767i | 0.918258 | − | 0.395982i | ||||
\(8\) | 5.23487 | + | 7.20518i | 1.85081 | + | 2.54742i | ||||
\(9\) | 2.76459 | + | 0.587632i | 0.921531 | + | 0.195877i | ||||
\(10\) | 6.03871 | + | 0.137418i | 1.90961 | + | 0.0434554i | ||||
\(11\) | 0.773637 | − | 0.164442i | 0.233260 | − | 0.0495810i | −0.0897983 | − | 0.995960i | \(-0.528622\pi\) |
0.323059 | + | 0.946379i | \(0.395289\pi\) | |||||||
\(12\) | 2.65831 | − | 12.5064i | 0.767388 | − | 3.61028i | ||||
\(13\) | 3.83804 | − | 1.24706i | 1.06448 | − | 0.345871i | 0.276145 | − | 0.961116i | \(-0.410943\pi\) |
0.788336 | + | 0.615245i | \(0.210943\pi\) | |||||||
\(14\) | −2.98338 | + | 6.49448i | −0.797343 | + | 1.73572i | ||||
\(15\) | −3.51937 | − | 4.09217i | −0.908697 | − | 1.05659i | ||||
\(16\) | −13.1698 | − | 2.79932i | −3.29245 | − | 0.699831i | ||||
\(17\) | −0.431094 | + | 0.968253i | −0.104556 | + | 0.234836i | −0.958246 | − | 0.285945i | \(-0.907692\pi\) |
0.853690 | + | 0.520781i | \(0.174359\pi\) | |||||||
\(18\) | −6.61194 | + | 3.81741i | −1.55845 | + | 0.899771i | ||||
\(19\) | 0.355524 | + | 3.38259i | 0.0815629 | + | 0.776019i | 0.956490 | + | 0.291765i | \(0.0942424\pi\) |
−0.874927 | + | 0.484254i | \(0.839091\pi\) | |||||||
\(20\) | −8.98013 | + | 7.72315i | −2.00802 | + | 1.72695i | ||||
\(21\) | 6.09646 | − | 1.90202i | 1.33036 | − | 0.415054i | ||||
\(22\) | −1.25581 | + | 1.72847i | −0.267739 | + | 0.368511i | ||||
\(23\) | 1.19063 | − | 1.07205i | 0.248263 | − | 0.223537i | −0.535598 | − | 0.844473i | \(-0.679914\pi\) |
0.783862 | + | 0.620936i | \(0.213247\pi\) | |||||||
\(24\) | 10.7487 | + | 18.6173i | 2.19407 | + | 3.80024i | ||||
\(25\) | 0.295903 | + | 4.99124i | 0.0591807 | + | 0.998247i | ||||
\(26\) | −5.45061 | + | 9.44073i | −1.06895 | + | 1.85148i | ||||
\(27\) | −0.398625 | − | 0.129521i | −0.0767154 | − | 0.0249263i | ||||
\(28\) | −4.17392 | − | 13.3785i | −0.788796 | − | 2.52830i | ||||
\(29\) | −2.53946 | − | 1.84502i | −0.471565 | − | 0.342612i | 0.326486 | − | 0.945202i | \(-0.394135\pi\) |
−0.798051 | + | 0.602590i | \(0.794135\pi\) | |||||||
\(30\) | 14.4616 | + | 1.85350i | 2.64032 | + | 0.338402i | ||||
\(31\) | −6.38127 | − | 2.84112i | −1.14611 | − | 0.510281i | −0.256293 | − | 0.966599i | \(-0.582501\pi\) |
−0.889817 | + | 0.456318i | \(0.849168\pi\) | |||||||
\(32\) | 16.0717 | − | 9.27901i | 2.84111 | − | 1.64031i | ||||
\(33\) | 1.89865 | − | 0.199556i | 0.330513 | − | 0.0347383i | ||||
\(34\) | −0.884733 | − | 2.72293i | −0.151730 | − | 0.466978i | ||||
\(35\) | −5.56013 | − | 2.02112i | −0.939834 | − | 0.341632i | ||||
\(36\) | 4.62634 | − | 14.2384i | 0.771056 | − | 2.37307i | ||||
\(37\) | −1.67686 | + | 7.88899i | −0.275673 | + | 1.29694i | 0.594460 | + | 0.804125i | \(0.297366\pi\) |
−0.870133 | + | 0.492816i | \(0.835967\pi\) | |||||||
\(38\) | −6.82779 | − | 6.14777i | −1.10761 | − | 0.997299i | ||||
\(39\) | 9.52810 | − | 2.02526i | 1.52572 | − | 0.324301i | ||||
\(40\) | 2.53169 | − | 19.7531i | 0.400295 | − | 3.12323i | ||||
\(41\) | 0.884702 | + | 2.72283i | 0.138167 | + | 0.425235i | 0.996069 | − | 0.0885784i | \(-0.0282324\pi\) |
−0.857902 | + | 0.513813i | \(0.828232\pi\) | |||||||
\(42\) | −8.80042 | + | 14.8377i | −1.35793 | + | 2.28950i | ||||
\(43\) | − | 5.98624i | − | 0.912893i | −0.889751 | − | 0.456446i | \(-0.849122\pi\) | ||
0.889751 | − | 0.456446i | \(-0.150878\pi\) | |||||||
\(44\) | −0.437921 | − | 4.16654i | −0.0660190 | − | 0.628129i | ||||
\(45\) | −3.59748 | − | 5.19611i | −0.536280 | − | 0.774591i | ||||
\(46\) | −0.452386 | + | 4.30417i | −0.0667007 | + | 0.634615i | ||||
\(47\) | −0.531018 | − | 1.19269i | −0.0774570 | − | 0.173971i | 0.870666 | − | 0.491874i | \(-0.163688\pi\) |
−0.948123 | + | 0.317903i | \(0.897021\pi\) | |||||||
\(48\) | −30.9086 | − | 10.0428i | −4.46127 | − | 1.44955i | ||||
\(49\) | 4.80477 | − | 5.09060i | 0.686396 | − | 0.727228i | ||||
\(50\) | −9.61576 | − | 9.48481i | −1.35987 | − | 1.34135i | ||||
\(51\) | −1.27917 | + | 2.21558i | −0.179119 | + | 0.310243i | ||||
\(52\) | −4.44437 | − | 20.9091i | −0.616324 | − | 2.89957i | ||||
\(53\) | 9.88813 | + | 1.03928i | 1.35824 | + | 0.142757i | 0.755482 | − | 0.655169i | \(-0.227403\pi\) |
0.602756 | + | 0.797925i | \(0.294069\pi\) | |||||||
\(54\) | 1.03433 | − | 0.460514i | 0.140755 | − | 0.0626680i | ||||
\(55\) | −1.51110 | − | 0.918892i | −0.203756 | − | 0.123903i | ||||
\(56\) | 20.2667 | + | 12.0204i | 2.70825 | + | 1.60630i | ||||
\(57\) | 8.20982i | 1.08742i | ||||||||
\(58\) | 8.43274 | − | 0.886317i | 1.10727 | − | 0.116379i | ||||
\(59\) | −5.16429 | + | 5.73552i | −0.672333 | + | 0.746702i | −0.978719 | − | 0.205206i | \(-0.934214\pi\) |
0.306386 | + | 0.951907i | \(0.400880\pi\) | |||||||
\(60\) | −23.5060 | + | 16.2741i | −3.03461 | + | 2.10098i | ||||
\(61\) | −5.80862 | − | 6.45113i | −0.743718 | − | 0.825982i | 0.245962 | − | 0.969279i | \(-0.420896\pi\) |
−0.989680 | + | 0.143297i | \(0.954229\pi\) | |||||||
\(62\) | 17.9455 | − | 5.83084i | 2.27908 | − | 0.740517i | ||||
\(63\) | 7.33218 | − | 1.46874i | 0.923768 | − | 0.185044i | ||||
\(64\) | −7.17000 | + | 22.0670i | −0.896250 | + | 2.75837i | ||||
\(65\) | −8.15800 | − | 3.85690i | −1.01188 | − | 0.478389i | ||||
\(66\) | −3.45075 | + | 3.83245i | −0.424758 | + | 0.471742i | ||||
\(67\) | −4.23100 | + | 9.50299i | −0.516899 | + | 1.16098i | 0.446958 | + | 0.894555i | \(0.352507\pi\) |
−0.963857 | + | 0.266420i | \(0.914159\pi\) | |||||||
\(68\) | 4.86203 | + | 2.80709i | 0.589607 | + | 0.340410i | ||||
\(69\) | 3.12867 | − | 2.27311i | 0.376647 | − | 0.273650i | ||||
\(70\) | 14.8149 | − | 5.99272i | 1.77072 | − | 0.716267i | ||||
\(71\) | 3.76855 | + | 2.73801i | 0.447245 | + | 0.324943i | 0.788507 | − | 0.615026i | \(-0.210854\pi\) |
−0.341262 | + | 0.939968i | \(0.610854\pi\) | |||||||
\(72\) | 10.2383 | + | 22.9956i | 1.20659 | + | 2.71006i | ||||
\(73\) | 1.58234 | + | 7.44433i | 0.185199 | + | 0.871292i | 0.968376 | + | 0.249494i | \(0.0802643\pi\) |
−0.783177 | + | 0.621798i | \(0.786402\pi\) | |||||||
\(74\) | −10.8933 | − | 18.8677i | −1.26632 | − | 2.19333i | ||||
\(75\) | −0.549001 | + | 12.0564i | −0.0633931 | + | 1.39216i | ||||
\(76\) | 18.0162 | 2.06660 | ||||||||
\(77\) | 1.70726 | − | 1.21002i | 0.194560 | − | 0.137895i | ||||
\(78\) | −15.4665 | + | 21.2878i | −1.75124 | + | 2.41037i | ||||
\(79\) | −10.4066 | + | 4.63331i | −1.17083 | + | 0.521288i | −0.897665 | − | 0.440678i | \(-0.854738\pi\) |
−0.273167 | + | 0.961966i | \(0.588071\pi\) | |||||||
\(80\) | 17.1374 | + | 24.7529i | 1.91602 | + | 2.76746i | ||||
\(81\) | −8.67026 | − | 3.86025i | −0.963362 | − | 0.428916i | ||||
\(82\) | −6.69756 | − | 3.86684i | −0.739622 | − | 0.427021i | ||||
\(83\) | 0.745124 | + | 1.02557i | 0.0817879 | + | 0.112571i | 0.847951 | − | 0.530075i | \(-0.177836\pi\) |
−0.766163 | + | 0.642647i | \(0.777836\pi\) | |||||||
\(84\) | −6.64423 | − | 33.1690i | −0.724945 | − | 3.61904i | ||||
\(85\) | 2.18645 | − | 0.914449i | 0.237154 | − | 0.0991860i | ||||
\(86\) | 10.8202 | + | 12.0171i | 1.16677 | + | 1.29583i | ||||
\(87\) | −5.63060 | − | 5.06982i | −0.603664 | − | 0.543542i | ||||
\(88\) | 5.23472 | + | 4.71336i | 0.558023 | + | 0.502446i | ||||
\(89\) | −3.42132 | − | 3.79976i | −0.362660 | − | 0.402774i | 0.534008 | − | 0.845480i | \(-0.320685\pi\) |
−0.896667 | + | 0.442705i | \(0.854019\pi\) | |||||||
\(90\) | 16.6138 | + | 3.92845i | 1.75125 | + | 0.414095i | ||||
\(91\) | 8.01795 | − | 7.05070i | 0.840510 | − | 0.739115i | ||||
\(92\) | −4.98827 | − | 6.86577i | −0.520063 | − | 0.715806i | ||||
\(93\) | −14.6018 | − | 8.43035i | −1.51413 | − | 0.874186i | ||||
\(94\) | 3.22179 | + | 1.43443i | 0.332303 | + | 0.147951i | ||||
\(95\) | 4.60914 | − | 6.04957i | 0.472888 | − | 0.620673i | ||||
\(96\) | 40.9223 | − | 18.2198i | 4.17662 | − | 1.85955i | ||||
\(97\) | −2.62905 | + | 3.61858i | −0.266940 | + | 0.367411i | −0.921354 | − | 0.388726i | \(-0.872915\pi\) |
0.654414 | + | 0.756137i | \(0.272915\pi\) | |||||||
\(98\) | −0.444007 | + | 18.9038i | −0.0448515 | + | 1.90957i | ||||
\(99\) | 2.23542 | 0.224668 | ||||||||
\(100\) | 26.4575 | + | 1.20477i | 2.64575 | + | 0.120477i | ||||
\(101\) | −5.44489 | − | 9.43083i | −0.541787 | − | 0.938403i | −0.998802 | − | 0.0489435i | \(-0.984415\pi\) |
0.457014 | − | 0.889459i | \(-0.348919\pi\) | |||||||
\(102\) | −1.43684 | − | 6.75979i | −0.142268 | − | 0.669318i | ||||
\(103\) | 1.07951 | + | 2.42463i | 0.106368 | + | 0.238905i | 0.958886 | − | 0.283792i | \(-0.0915925\pi\) |
−0.852518 | + | 0.522697i | \(0.824926\pi\) | |||||||
\(104\) | 29.0769 | + | 21.1256i | 2.85123 | + | 2.07154i | ||||
\(105\) | −12.8375 | − | 6.25471i | −1.25281 | − | 0.610397i | ||||
\(106\) | −21.7285 | + | 15.7866i | −2.11045 | + | 1.53333i | ||||
\(107\) | 1.41306 | + | 0.815828i | 0.136605 | + | 0.0788691i | 0.566745 | − | 0.823893i | \(-0.308202\pi\) |
−0.430140 | + | 0.902762i | \(0.641536\pi\) | |||||||
\(108\) | −0.903024 | + | 2.02823i | −0.0868935 | + | 0.195166i | ||||
\(109\) | 0.270987 | − | 0.300961i | 0.0259558 | − | 0.0288269i | −0.730027 | − | 0.683418i | \(-0.760493\pi\) |
0.755983 | + | 0.654591i | \(0.227159\pi\) | |||||||
\(110\) | 4.69436 | − | 0.886703i | 0.447590 | − | 0.0845438i | ||||
\(111\) | −6.01586 | + | 18.5149i | −0.571000 | + | 1.75736i | ||||
\(112\) | −34.9285 | + | 6.99669i | −3.30044 | + | 0.661125i | ||||
\(113\) | −16.9623 | + | 5.51140i | −1.59568 | + | 0.518469i | −0.966035 | − | 0.258412i | \(-0.916801\pi\) |
−0.629648 | + | 0.776881i | \(0.716801\pi\) | |||||||
\(114\) | −14.8394 | − | 16.4808i | −1.38984 | − | 1.54357i | ||||
\(115\) | −3.58159 | − | 0.0815033i | −0.333985 | − | 0.00760022i | ||||
\(116\) | −11.1256 | + | 12.3562i | −1.03298 | + | 1.14724i | ||||
\(117\) | 11.3434 | − | 1.19224i | 1.04870 | − | 0.110223i | ||||
\(118\) | − | 20.8483i | − | 1.91924i | ||||||
\(119\) | −0.0329252 | + | 2.80400i | −0.00301824 | + | 0.257042i | ||||
\(120\) | 11.0614 | − | 46.7797i | 1.00976 | − | 4.27038i | ||||
\(121\) | −9.47753 | + | 4.21967i | −0.861593 | + | 0.383606i | ||||
\(122\) | 23.3210 | + | 2.45114i | 2.11139 | + | 0.221916i | ||||
\(123\) | 1.43679 | + | 6.75955i | 0.129551 | + | 0.609488i | ||||
\(124\) | −18.5001 | + | 32.0432i | −1.66136 | + | 2.87756i | ||||
\(125\) | 7.17325 | − | 8.57581i | 0.641595 | − | 0.767044i | ||||
\(126\) | −12.0642 | + | 16.2015i | −1.07477 | + | 1.44334i | ||||
\(127\) | 17.9783 | + | 5.84150i | 1.59531 | + | 0.518349i | 0.965943 | − | 0.258755i | \(-0.0833123\pi\) |
0.629372 | + | 0.777104i | \(0.283312\pi\) | |||||||
\(128\) | −10.3966 | − | 23.3511i | −0.918937 | − | 2.06397i | ||||
\(129\) | 1.51038 | − | 14.3703i | 0.132982 | − | 1.26524i | ||||
\(130\) | 23.3482 | − | 7.00319i | 2.04777 | − | 0.614220i | ||||
\(131\) | −1.08337 | − | 10.3076i | −0.0946543 | − | 0.900575i | −0.934071 | − | 0.357087i | \(-0.883770\pi\) |
0.839417 | − | 0.543488i | \(-0.182897\pi\) | |||||||
\(132\) | − | 10.1125i | − | 0.880182i | ||||||
\(133\) | 4.40758 | + | 7.84547i | 0.382186 | + | 0.680288i | ||||
\(134\) | −8.68328 | − | 26.7244i | −0.750121 | − | 2.30864i | ||||
\(135\) | 0.450025 | + | 0.822110i | 0.0387320 | + | 0.0707560i | ||||
\(136\) | −9.23316 | + | 1.96257i | −0.791737 | + | 0.168289i | ||||
\(137\) | −9.72314 | − | 8.75475i | −0.830704 | − | 0.747969i | 0.139510 | − | 0.990221i | \(-0.455447\pi\) |
−0.970213 | + | 0.242252i | \(0.922114\pi\) | |||||||
\(138\) | −2.17196 | + | 10.2183i | −0.184890 | + | 0.869838i | ||||
\(139\) | 0.812615 | − | 2.50097i | 0.0689251 | − | 0.212130i | −0.910661 | − | 0.413154i | \(-0.864427\pi\) |
0.979586 | + | 0.201024i | \(0.0644271\pi\) | |||||||
\(140\) | −13.7258 | + | 28.1715i | −1.16004 | + | 2.38092i | ||||
\(141\) | −0.973816 | − | 2.99710i | −0.0820101 | − | 0.252401i | ||||
\(142\) | −12.5142 | + | 1.31529i | −1.05017 | + | 0.110377i | ||||
\(143\) | 2.76418 | − | 1.59590i | 0.231153 | − | 0.133456i | ||||
\(144\) | −34.7641 | − | 15.4780i | −2.89701 | − | 1.28983i | ||||
\(145\) | 1.30274 | + | 6.89693i | 0.108186 | + | 0.572758i | ||||
\(146\) | −16.6322 | − | 12.0840i | −1.37649 | − | 1.00008i | ||||
\(147\) | 12.8186 | − | 11.0080i | 1.05726 | − | 0.907925i | ||||
\(148\) | 40.6304 | + | 13.2016i | 3.33980 | + | 1.08517i | ||||
\(149\) | 0.0693704 | − | 0.120153i | 0.00568305 | − | 0.00984333i | −0.863170 | − | 0.504914i | \(-0.831524\pi\) |
0.868853 | + | 0.495070i | \(0.164858\pi\) | |||||||
\(150\) | −20.6901 | − | 25.1950i | −1.68934 | − | 2.05716i | ||||
\(151\) | 6.43576 | + | 11.1471i | 0.523735 | + | 0.907135i | 0.999618 | + | 0.0276269i | \(0.00879502\pi\) |
−0.475884 | + | 0.879508i | \(0.657872\pi\) | |||||||
\(152\) | −22.5110 | + | 20.2690i | −1.82589 | + | 1.64404i | ||||
\(153\) | −1.76078 | + | 2.42350i | −0.142350 | + | 0.195928i | ||||
\(154\) | −1.24009 | + | 5.51496i | −0.0999296 | + | 0.444408i | ||||
\(155\) | 6.02668 | + | 14.4098i | 0.484075 | + | 1.15742i | ||||
\(156\) | −5.39342 | − | 51.3150i | −0.431820 | − | 4.10849i | ||||
\(157\) | 7.65142 | − | 4.41755i | 0.610650 | − | 0.352559i | −0.162570 | − | 0.986697i | \(-0.551978\pi\) |
0.773220 | + | 0.634138i | \(0.218645\pi\) | |||||||
\(158\) | 12.5159 | − | 28.1112i | 0.995714 | − | 2.23641i | ||||
\(159\) | 23.4748 | + | 4.98973i | 1.86168 | + | 0.395711i | ||||
\(160\) | −40.3834 | − | 9.54892i | −3.19259 | − | 0.754908i | ||||
\(161\) | 1.76946 | − | 3.85191i | 0.139453 | − | 0.303573i | ||||
\(162\) | 24.3826 | − | 7.92238i | 1.91568 | − | 0.622441i | ||||
\(163\) | 0.473880 | − | 2.22943i | 0.0371172 | − | 0.174623i | −0.955684 | − | 0.294393i | \(-0.904883\pi\) |
0.992802 | + | 0.119770i | \(0.0382159\pi\) | |||||||
\(164\) | 14.8336 | − | 3.15298i | 1.15831 | − | 0.246207i | ||||
\(165\) | −3.39564 | − | 2.58712i | −0.264350 | − | 0.201407i | ||||
\(166\) | −3.34954 | − | 0.711967i | −0.259975 | − | 0.0552594i | ||||
\(167\) | 3.72673 | + | 5.12940i | 0.288383 | + | 0.396925i | 0.928488 | − | 0.371362i | \(-0.121109\pi\) |
−0.640105 | + | 0.768287i | \(0.721109\pi\) | |||||||
\(168\) | 45.6186 | + | 33.9693i | 3.51955 | + | 2.62079i | ||||
\(169\) | 2.65820 | − | 1.93130i | 0.204477 | − | 0.148561i | ||||
\(170\) | −2.73631 | + | 5.78776i | −0.209865 | + | 0.443901i | ||||
\(171\) | −1.00484 | + | 9.56040i | −0.0768419 | + | 0.731102i | ||||
\(172\) | −31.5353 | − | 3.31449i | −2.40454 | − | 0.252727i | ||||
\(173\) | 16.5664 | − | 14.9164i | 1.25952 | − | 1.13407i | 0.274505 | − | 0.961586i | \(-0.411486\pi\) |
0.985012 | − | 0.172488i | \(-0.0551808\pi\) | |||||||
\(174\) | 20.4669 | 1.55159 | ||||||||
\(175\) | 5.94806 | + | 11.8161i | 0.449631 | + | 0.893214i | ||||
\(176\) | −10.6490 | −0.802695 | ||||||||
\(177\) | −13.8443 | + | 12.4655i | −1.04060 | + | 0.936963i | ||||
\(178\) | 13.7363 | + | 1.44374i | 1.02958 | + | 0.108213i | ||||
\(179\) | −1.71751 | + | 16.3410i | −0.128373 | + | 1.22138i | 0.720753 | + | 0.693192i | \(0.243796\pi\) |
−0.849125 | + | 0.528191i | \(0.822870\pi\) | |||||||
\(180\) | −29.3648 | + | 16.0743i | −2.18872 | + | 1.19811i | ||||
\(181\) | 11.5432 | − | 8.38666i | 0.858002 | − | 0.623375i | −0.0693384 | − | 0.997593i | \(-0.522089\pi\) |
0.927341 | + | 0.374218i | \(0.122089\pi\) | |||||||
\(182\) | −3.35138 | + | 28.6465i | −0.248421 | + | 2.12342i | ||||
\(183\) | −12.3163 | − | 16.9519i | −0.910445 | − | 1.25312i | ||||
\(184\) | 13.9571 | + | 2.96667i | 1.02893 | + | 0.218706i | ||||
\(185\) | 14.8275 | − | 10.2657i | 1.09014 | − | 0.754748i | ||||
\(186\) | 44.5504 | − | 9.46947i | 3.26659 | − | 0.694335i | ||||
\(187\) | −0.174289 | + | 0.819966i | −0.0127453 | + | 0.0599618i | ||||
\(188\) | −6.57704 | + | 2.13701i | −0.479680 | + | 0.155857i | ||||
\(189\) | −1.10415 | + | 0.102958i | −0.0803149 | + | 0.00748912i | ||||
\(190\) | 1.68208 | + | 20.4753i | 0.122031 | + | 1.48544i | ||||
\(191\) | 14.4741 | + | 3.07657i | 1.04731 | + | 0.222612i | 0.699263 | − | 0.714865i | \(-0.253512\pi\) |
0.348047 | + | 0.937477i | \(0.386845\pi\) | |||||||
\(192\) | −22.7797 | + | 51.1641i | −1.64399 | + | 3.69245i | ||||
\(193\) | −8.45777 | + | 4.88309i | −0.608803 | + | 0.351493i | −0.772497 | − | 0.635018i | \(-0.780992\pi\) |
0.163694 | + | 0.986511i | \(0.447659\pi\) | |||||||
\(194\) | −1.26295 | − | 12.0162i | −0.0906746 | − | 0.862711i | ||||
\(195\) | −18.6106 | − | 11.3171i | −1.33274 | − | 0.810431i | ||||
\(196\) | −24.1567 | − | 28.1299i | −1.72548 | − | 2.00928i | ||||
\(197\) | −13.8505 | + | 19.0636i | −0.986806 | + | 1.35822i | −0.0537249 | + | 0.998556i | \(0.517109\pi\) |
−0.933081 | + | 0.359666i | \(0.882891\pi\) | |||||||
\(198\) | −4.48750 | + | 4.04056i | −0.318913 | + | 0.287150i | ||||
\(199\) | −4.73457 | − | 8.20051i | −0.335625 | − | 0.581319i | 0.647980 | − | 0.761657i | \(-0.275614\pi\) |
−0.983605 | + | 0.180338i | \(0.942281\pi\) | |||||||
\(200\) | −34.4138 | + | 28.2605i | −2.43342 | + | 1.99832i | ||||
\(201\) | −12.5545 | + | 21.7450i | −0.885525 | + | 1.53377i | ||||
\(202\) | 27.9767 | + | 9.09019i | 1.96844 | + | 0.639584i | ||||
\(203\) | −8.10254 | − | 1.82194i | −0.568687 | − | 0.127875i | ||||
\(204\) | 10.9633 | + | 7.96533i | 0.767587 | + | 0.557685i | ||||
\(205\) | 2.73621 | − | 5.78755i | 0.191105 | − | 0.404220i | ||||
\(206\) | −6.54962 | − | 2.91608i | −0.456334 | − | 0.203173i | ||||
\(207\) | 3.92158 | − | 2.26412i | 0.272569 | − | 0.157367i | ||||
\(208\) | −54.0371 | + | 5.67953i | −3.74680 | + | 0.393805i | ||||
\(209\) | 0.831285 | + | 2.55843i | 0.0575012 | + | 0.176970i | ||||
\(210\) | 37.0761 | − | 10.6480i | 2.55849 | − | 0.734779i | ||||
\(211\) | −1.47906 | + | 4.55207i | −0.101823 | + | 0.313378i | −0.988972 | − | 0.148106i | \(-0.952682\pi\) |
0.887149 | + | 0.461483i | \(0.152682\pi\) | |||||||
\(212\) | 10.9498 | − | 51.5148i | 0.752036 | − | 3.53805i | ||||
\(213\) | 8.35582 | + | 7.52361i | 0.572531 | + | 0.515510i | ||||
\(214\) | −4.31127 | + | 0.916388i | −0.294712 | + | 0.0626430i | ||||
\(215\) | −9.18073 | + | 9.74112i | −0.626120 | + | 0.664339i | ||||
\(216\) | −1.15353 | − | 3.55019i | −0.0784876 | − | 0.241560i | ||||
\(217\) | −18.4797 | − | 0.216993i | −1.25449 | − | 0.0147305i | ||||
\(218\) | 1.09398i | 0.0740935i | ||||||||
\(219\) | 1.92023 | + | 18.2698i | 0.129757 | + | 1.23456i | ||||
\(220\) | −5.67735 | + | 7.45162i | −0.382767 | + | 0.502388i | ||||
\(221\) | −0.447092 | + | 4.25379i | −0.0300746 | + | 0.286141i | ||||
\(222\) | −21.3895 | − | 48.0415i | −1.43557 | − | 3.22434i | ||||
\(223\) | −7.16870 | − | 2.32925i | −0.480052 | − | 0.155978i | 0.0589879 | − | 0.998259i | \(-0.481213\pi\) |
−0.539040 | + | 0.842280i | \(0.681213\pi\) | |||||||
\(224\) | 29.3246 | − | 39.3811i | 1.95933 | − | 2.63126i | ||||
\(225\) | −2.11496 | + | 13.9726i | −0.140997 | + | 0.931508i | ||||
\(226\) | 24.0891 | − | 41.7236i | 1.60238 | − | 2.77541i | ||||
\(227\) | 1.94028 | + | 9.12830i | 0.128781 | + | 0.605866i | 0.994446 | + | 0.105244i | \(0.0335622\pi\) |
−0.865666 | + | 0.500623i | \(0.833104\pi\) | |||||||
\(228\) | 43.2490 | + | 4.54565i | 2.86423 | + | 0.301043i | ||||
\(229\) | 18.8624 | − | 8.39809i | 1.24646 | − | 0.554961i | 0.325844 | − | 0.945423i | \(-0.394351\pi\) |
0.920619 | + | 0.390462i | \(0.127685\pi\) | |||||||
\(230\) | 7.33719 | − | 6.31017i | 0.483800 | − | 0.416080i | ||||
\(231\) | 4.40368 | − | 2.47398i | 0.289741 | − | 0.162776i | ||||
\(232\) | − | 27.9557i | − | 1.83538i | ||||||
\(233\) | 7.24341 | − | 0.761313i | 0.474532 | − | 0.0498753i | 0.135756 | − | 0.990742i | \(-0.456654\pi\) |
0.338776 | + | 0.940867i | \(0.389987\pi\) | |||||||
\(234\) | −20.6164 | + | 22.8968i | −1.34774 | + | 1.49681i | ||||
\(235\) | −0.965049 | + | 2.75519i | −0.0629529 | + | 0.179729i | ||||
\(236\) | 27.3551 | + | 30.3809i | 1.78067 | + | 1.97763i | ||||
\(237\) | −26.1507 | + | 8.49687i | −1.69867 | + | 0.551931i | ||||
\(238\) | −5.00218 | − | 5.68840i | −0.324243 | − | 0.368724i | ||||
\(239\) | 4.14506 | − | 12.7572i | 0.268122 | − | 0.825195i | −0.722836 | − | 0.691020i | \(-0.757162\pi\) |
0.990958 | − | 0.134175i | \(-0.0428383\pi\) | |||||||
\(240\) | 34.8940 | + | 63.7448i | 2.25240 | + | 4.11471i | ||||
\(241\) | 14.2484 | − | 15.8244i | 0.917818 | − | 1.01934i | −0.0819239 | − | 0.996639i | \(-0.526106\pi\) |
0.999742 | − | 0.0227020i | \(-0.00722690\pi\) | |||||||
\(242\) | 11.3986 | − | 25.6016i | 0.732727 | − | 1.64573i | ||||
\(243\) | −18.7506 | − | 10.8256i | −1.20285 | − | 0.694465i | ||||
\(244\) | −37.2004 | + | 27.0277i | −2.38151 | + | 1.73027i | ||||
\(245\) | −15.6257 | + | 0.914900i | −0.998290 | + | 0.0584508i | ||||
\(246\) | −15.1023 | − | 10.9724i | −0.962886 | − | 0.699577i | ||||
\(247\) | 5.58280 | + | 12.5392i | 0.355225 | + | 0.797848i | ||||
\(248\) | −12.9343 | − | 60.8511i | −0.821329 | − | 3.86405i | ||||
\(249\) | 1.52995 | + | 2.64996i | 0.0969569 | + | 0.167934i | ||||
\(250\) | 1.10099 | + | 30.1813i | 0.0696326 | + | 1.90883i | ||||
\(251\) | 17.8368 | 1.12585 | 0.562926 | − | 0.826507i | \(-0.309676\pi\) | ||||
0.562926 | + | 0.826507i | \(0.309676\pi\) | |||||||
\(252\) | −3.67755 | − | 39.4388i | −0.231664 | − | 2.48441i | ||||
\(253\) | 0.744826 | − | 1.02516i | 0.0468268 | − | 0.0644516i | ||||
\(254\) | −46.6491 | + | 20.7695i | −2.92703 | + | 1.30320i | ||||
\(255\) | 5.47943 | − | 1.64353i | 0.343135 | − | 0.102922i | ||||
\(256\) | 20.6849 | + | 9.20951i | 1.29281 | + | 0.575594i | ||||
\(257\) | −9.45437 | − | 5.45848i | −0.589747 | − | 0.340491i | 0.175250 | − | 0.984524i | \(-0.443927\pi\) |
−0.764998 | + | 0.644033i | \(0.777260\pi\) | |||||||
\(258\) | 22.9426 | + | 31.5778i | 1.42834 | + | 1.96595i | ||||
\(259\) | 4.19117 | + | 20.9230i | 0.260426 | + | 1.30009i | ||||
\(260\) | −24.8349 | + | 40.8405i | −1.54020 | + | 2.53282i | ||||
\(261\) | −5.93637 | − | 6.59300i | −0.367452 | − | 0.408097i | ||||
\(262\) | 20.8059 | + | 18.7337i | 1.28539 | + | 1.15737i | ||||
\(263\) | −8.04088 | − | 7.24004i | −0.495822 | − | 0.446440i | 0.382889 | − | 0.923794i | \(-0.374929\pi\) |
−0.878711 | + | 0.477354i | \(0.841596\pi\) | |||||||
\(264\) | 11.3770 | + | 12.6355i | 0.700209 | + | 0.777661i | ||||
\(265\) | −14.4966 | − | 16.8560i | −0.890519 | − | 1.03546i | ||||
\(266\) | −23.0288 | − | 7.78262i | −1.41199 | − | 0.477183i | ||||
\(267\) | −7.25438 | − | 9.98480i | −0.443961 | − | 0.611060i | ||||
\(268\) | 47.7187 | + | 27.5504i | 2.91488 | + | 1.68291i | ||||
\(269\) | −20.6632 | − | 9.19985i | −1.25986 | − | 0.560925i | −0.335352 | − | 0.942093i | \(-0.608855\pi\) |
−0.924506 | + | 0.381168i | \(0.875522\pi\) | |||||||
\(270\) | −2.38938 | − | 0.836918i | −0.145413 | − | 0.0509332i | ||||
\(271\) | 6.24999 | − | 2.78267i | 0.379660 | − | 0.169035i | −0.208029 | − | 0.978123i | \(-0.566705\pi\) |
0.587689 | + | 0.809087i | \(0.300038\pi\) | |||||||
\(272\) | 8.38787 | − | 11.5449i | 0.508589 | − | 0.700013i | ||||
\(273\) | 21.0266 | − | 14.9026i | 1.27258 | − | 0.901949i | ||||
\(274\) | 35.3431 | 2.13515 | ||||||||
\(275\) | 1.04969 | + | 3.81275i | 0.0632986 | + | 0.229917i | ||||
\(276\) | −10.2424 | − | 17.7403i | −0.616517 | − | 1.06784i | ||||
\(277\) | −1.25113 | − | 5.88612i | −0.0751734 | − | 0.353663i | 0.924444 | − | 0.381317i | \(-0.124529\pi\) |
−0.999618 | + | 0.0276546i | \(0.991196\pi\) | |||||||
\(278\) | 2.88926 | + | 6.48939i | 0.173287 | + | 0.389208i | ||||
\(279\) | −15.9721 | − | 11.6044i | −0.956223 | − | 0.694737i | ||||
\(280\) | −14.5440 | − | 50.6421i | −0.869170 | − | 3.02644i | ||||
\(281\) | 20.6123 | − | 14.9757i | 1.22963 | − | 0.893376i | 0.232764 | − | 0.972533i | \(-0.425223\pi\) |
0.996862 | + | 0.0791574i | \(0.0252230\pi\) | |||||||
\(282\) | 7.37219 | + | 4.25634i | 0.439008 | + | 0.253461i | ||||
\(283\) | −1.33745 | + | 3.00397i | −0.0795033 | + | 0.178567i | −0.948924 | − | 0.315506i | \(-0.897826\pi\) |
0.869420 | + | 0.494073i | \(0.164493\pi\) | |||||||
\(284\) | 16.5103 | − | 18.3366i | 0.979708 | − | 1.08808i | ||||
\(285\) | 12.5909 | − | 13.3594i | 0.745820 | − | 0.791345i | ||||
\(286\) | −2.66434 | + | 8.20000i | −0.157546 | + | 0.484876i | ||||
\(287\) | 5.00200 | + | 5.68820i | 0.295259 | + | 0.335764i | ||||
\(288\) | 49.8844 | − | 16.2084i | 2.93947 | − | 0.955091i | ||||
\(289\) | 10.6235 | + | 11.7986i | 0.624915 | + | 0.694038i | ||||
\(290\) | −15.0815 | − | 11.4905i | −0.885616 | − | 0.674746i | ||||
\(291\) | −7.22420 | + | 8.02329i | −0.423490 | + | 0.470333i | ||||
\(292\) | 40.0925 | − | 4.21389i | 2.34624 | − | 0.246600i | ||||
\(293\) | 0.636811i | 0.0372029i | 0.999827 | + | 0.0186014i | \(0.00592136\pi\) | ||||
−0.999827 | + | 0.0186014i | \(0.994079\pi\) | |||||||
\(294\) | −5.83548 | + | 45.2678i | −0.340332 | + | 2.64007i | ||||
\(295\) | 17.1998 | − | 1.41299i | 1.00141 | − | 0.0822676i | ||||
\(296\) | −65.6197 | + | 29.2158i | −3.81407 | + | 1.69813i | ||||
\(297\) | −0.329690 | − | 0.0346518i | −0.0191305 | − | 0.00201070i | ||||
\(298\) | 0.0779211 | + | 0.366590i | 0.00451385 | + | 0.0212360i | ||||
\(299\) | 3.23278 | − | 5.59935i | 0.186957 | − | 0.323819i | ||||
\(300\) | 63.2088 | + | 9.56758i | 3.64936 | + | 0.552384i | ||||
\(301\) | −6.27161 | − | 14.5435i | −0.361489 | − | 0.838271i | ||||
\(302\) | −33.0680 | − | 10.7444i | −1.90285 | − | 0.618273i | ||||
\(303\) | −10.6913 | − | 24.0131i | −0.614200 | − | 1.37952i | ||||
\(304\) | 4.78678 | − | 45.5432i | 0.274541 | − | 2.61208i | ||||
\(305\) | −0.441605 | + | 19.4059i | −0.0252862 | + | 1.11118i | ||||
\(306\) | −0.845846 | − | 8.04769i | −0.0483538 | − | 0.460056i | ||||
\(307\) | − | 30.9126i | − | 1.76428i | −0.470990 | − | 0.882139i | \(-0.656103\pi\) | ||
0.470990 | − | 0.882139i | \(-0.343897\pi\) | |||||||
\(308\) | −5.42908 | − | 9.66373i | −0.309350 | − | 0.550642i | ||||
\(309\) | 1.97968 | + | 6.09283i | 0.112620 | + | 0.346609i | ||||
\(310\) | −38.1442 | − | 18.0336i | −2.16645 | − | 1.02424i | ||||
\(311\) | −16.8352 | + | 3.57844i | −0.954639 | + | 0.202915i | −0.658796 | − | 0.752322i | \(-0.728934\pi\) |
−0.295843 | + | 0.955237i | \(0.595601\pi\) | |||||||
\(312\) | 64.4708 | + | 58.0497i | 3.64994 | + | 3.28642i | ||||
\(313\) | −2.00546 | + | 9.43496i | −0.113355 | + | 0.533296i | 0.884424 | + | 0.466685i | \(0.154552\pi\) |
−0.997779 | + | 0.0666105i | \(0.978782\pi\) | |||||||
\(314\) | −7.37506 | + | 22.6981i | −0.416199 | + | 1.28093i | ||||
\(315\) | −14.1838 | − | 8.85490i | −0.799168 | − | 0.498917i | ||||
\(316\) | 18.6461 | + | 57.3869i | 1.04893 | + | 3.22826i | ||||
\(317\) | 6.53541 | − | 0.686899i | 0.367065 | − | 0.0385801i | 0.0807994 | − | 0.996730i | \(-0.474253\pi\) |
0.286266 | + | 0.958150i | \(0.407586\pi\) | |||||||
\(318\) | −56.1436 | + | 32.4145i | −3.14838 | + | 1.81772i | ||||
\(319\) | −2.26801 | − | 1.00979i | −0.126984 | − | 0.0565371i | ||||
\(320\) | 45.5102 | − | 24.9124i | 2.54410 | − | 1.39264i | ||||
\(321\) | 3.18629 | + | 2.31497i | 0.177841 | + | 0.129209i | ||||
\(322\) | 3.41029 | + | 10.9309i | 0.190048 | + | 0.609153i | ||||
\(323\) | −3.42847 | − | 1.11398i | −0.190765 | − | 0.0619833i | ||||
\(324\) | −25.1362 | + | 43.5372i | −1.39646 | + | 2.41873i | ||||
\(325\) | 7.36004 | + | 18.7876i | 0.408262 | + | 1.04215i | ||||
\(326\) | 3.07844 | + | 5.33202i | 0.170499 | + | 0.295313i | ||||
\(327\) | 0.726456 | − | 0.654103i | 0.0401731 | − | 0.0361720i | ||||
\(328\) | −14.9872 | + | 20.6281i | −0.827530 | + | 1.13900i | ||||
\(329\) | −2.53964 | − | 2.34128i | −0.140015 | − | 0.129079i | ||||
\(330\) | 11.4928 | − | 0.944154i | 0.632660 | − | 0.0519740i | ||||
\(331\) | 2.78885 | + | 26.5342i | 0.153289 | + | 1.45845i | 0.752888 | + | 0.658149i | \(0.228660\pi\) |
−0.599599 | + | 0.800301i | \(0.704673\pi\) | |||||||
\(332\) | 5.81525 | − | 3.35744i | 0.319153 | − | 0.184263i | ||||
\(333\) | −9.27165 | + | 20.8245i | −0.508083 | + | 1.14117i | ||||
\(334\) | −16.7527 | − | 3.56089i | −0.916667 | − | 0.194843i | ||||
\(335\) | 21.4591 | − | 8.97494i | 1.17243 | − | 0.490353i | ||||
\(336\) | −85.6134 | + | 7.98319i | −4.67060 | + | 0.435519i | ||||
\(337\) | −2.67992 | + | 0.870759i | −0.145985 | + | 0.0474333i | −0.381098 | − | 0.924535i | \(-0.624454\pi\) |
0.235113 | + | 0.971968i | \(0.424454\pi\) | |||||||
\(338\) | −1.84536 | + | 8.68173i | −0.100374 | + | 0.472224i | ||||
\(339\) | −42.1097 | + | 8.95070i | −2.28709 | + | 0.486135i | ||||
\(340\) | −3.60668 | − | 12.0244i | −0.195600 | − | 0.652117i | ||||
\(341\) | −5.40398 | − | 1.14865i | −0.292642 | − | 0.0622030i | ||||
\(342\) | −15.2634 | − | 21.0083i | −0.825351 | − | 1.13600i | ||||
\(343\) | 6.33984 | − | 17.4013i | 0.342319 | − | 0.939584i | ||||
\(344\) | 43.1319 | − | 31.3372i | 2.32552 | − | 1.68959i | ||||
\(345\) | −8.57726 | − | 1.09932i | −0.461784 | − | 0.0591855i | ||||
\(346\) | −6.29448 | + | 59.8879i | −0.338393 | + | 3.21960i | ||||
\(347\) | 27.1003 | + | 2.84836i | 1.45482 | + | 0.152908i | 0.798692 | − | 0.601740i | \(-0.205525\pi\) |
0.656130 | + | 0.754648i | \(0.272192\pi\) | |||||||
\(348\) | −29.8252 | + | 26.8547i | −1.59880 | + | 1.43956i | ||||
\(349\) | 15.9902 | 0.855935 | 0.427967 | − | 0.903794i | \(-0.359230\pi\) | ||||
0.427967 | + | 0.903794i | \(0.359230\pi\) | |||||||
\(350\) | −33.2983 | − | 12.9690i | −1.77987 | − | 0.693224i | ||||
\(351\) | −1.69146 | −0.0902834 | ||||||||
\(352\) | 10.9078 | − | 9.82144i | 0.581389 | − | 0.523485i | ||||
\(353\) | 10.1425 | + | 1.06602i | 0.539832 | + | 0.0567387i | 0.370521 | − | 0.928824i | \(-0.379179\pi\) |
0.169311 | + | 0.985563i | \(0.445846\pi\) | |||||||
\(354\) | 5.26022 | − | 50.0477i | 0.279578 | − | 2.66000i | ||||
\(355\) | −1.93326 | − | 10.2350i | −0.102607 | − | 0.543220i | ||||
\(356\) | −21.9113 | + | 15.9195i | −1.16130 | + | 0.843733i | ||||
\(357\) | −0.786513 | + | 6.72286i | −0.0416267 | + | 0.355812i | ||||
\(358\) | −26.0888 | − | 35.9082i | −1.37884 | − | 1.89781i | ||||
\(359\) | 13.3172 | + | 2.83066i | 0.702856 | + | 0.149397i | 0.545458 | − | 0.838138i | \(-0.316356\pi\) |
0.157399 | + | 0.987535i | \(0.449689\pi\) | |||||||
\(360\) | 18.6066 | − | 53.1215i | 0.980655 | − | 2.79975i | ||||
\(361\) | 7.26929 | − | 1.54514i | 0.382594 | − | 0.0813229i | ||||
\(362\) | −8.01347 | + | 37.7004i | −0.421179 | + | 1.98149i | ||||
\(363\) | −23.8160 | + | 7.73830i | −1.25002 | + | 0.406156i | ||||
\(364\) | −32.7034 | − | 46.1421i | −1.71412 | − | 2.41850i | ||||
\(365\) | 8.84204 | − | 14.5405i | 0.462814 | − | 0.761087i | ||||
\(366\) | 55.3651 | + | 11.7682i | 2.89398 | + | 0.615135i | ||||
\(367\) | −5.03297 | + | 11.3042i | −0.262719 | + | 0.590077i | −0.995951 | − | 0.0899023i | \(-0.971345\pi\) |
0.733231 | + | 0.679979i | \(0.238011\pi\) | |||||||
\(368\) | −18.6814 | + | 10.7857i | −0.973833 | + | 0.562243i | ||||
\(369\) | 0.845816 | + | 8.04740i | 0.0440314 | + | 0.418931i | ||||
\(370\) | −11.2101 | + | 47.4089i | −0.582787 | + | 2.46467i | ||||
\(371\) | 25.1119 | − | 7.83458i | 1.30374 | − | 0.406751i | ||||
\(372\) | −52.4955 | + | 72.2539i | −2.72177 | + | 3.74619i | ||||
\(373\) | 16.4080 | − | 14.7738i | 0.849575 | − | 0.764961i | −0.124252 | − | 0.992251i | \(-0.539653\pi\) |
0.973827 | + | 0.227290i | \(0.0729865\pi\) | |||||||
\(374\) | −1.13222 | − | 1.96107i | −0.0585460 | − | 0.101405i | ||||
\(375\) | 19.3836 | − | 18.7769i | 1.00096 | − | 0.969634i | ||||
\(376\) | 5.81371 | − | 10.0696i | 0.299819 | − | 0.519302i | ||||
\(377\) | −12.0474 | − | 3.91443i | −0.620472 | − | 0.201604i | ||||
\(378\) | 2.03042 | − | 2.20245i | 0.104434 | − | 0.113282i | ||||
\(379\) | 5.10183 | + | 3.70670i | 0.262063 | + | 0.190400i | 0.711056 | − | 0.703135i | \(-0.248217\pi\) |
−0.448993 | + | 0.893535i | \(0.648217\pi\) | |||||||
\(380\) | −29.3169 | − | 27.6303i | −1.50393 | − | 1.41741i | ||||
\(381\) | 41.6841 | + | 18.5590i | 2.13554 | + | 0.950804i | ||||
\(382\) | −34.6170 | + | 19.9861i | −1.77116 | + | 1.02258i | ||||
\(383\) | −0.491825 | + | 0.0516929i | −0.0251311 | + | 0.00264138i | −0.117086 | − | 0.993122i | \(-0.537355\pi\) |
0.0919546 | + | 0.995763i | \(0.470689\pi\) | |||||||
\(384\) | −19.0659 | − | 58.6790i | −0.972955 | − | 2.99445i | ||||
\(385\) | −4.63388 | − | 0.649299i | −0.236164 | − | 0.0330914i | ||||
\(386\) | 8.15228 | − | 25.0901i | 0.414940 | − | 1.27705i | ||||
\(387\) | 3.51771 | − | 16.5495i | 0.178815 | − | 0.841259i | ||||
\(388\) | 17.6069 | + | 15.8533i | 0.893853 | + | 0.804829i | ||||
\(389\) | −1.01288 | + | 0.215295i | −0.0513552 | + | 0.0109159i | −0.233518 | − | 0.972353i | \(-0.575024\pi\) |
0.182162 | + | 0.983268i | \(0.441690\pi\) | |||||||
\(390\) | 57.8157 | − | 10.9206i | 2.92761 | − | 0.552987i | ||||
\(391\) | 0.524740 | + | 1.61498i | 0.0265372 | + | 0.0816732i | ||||
\(392\) | 61.8310 | + | 7.97065i | 3.12294 | + | 0.402579i | ||||
\(393\) | − | 25.0173i | − | 1.26195i | ||||||
\(394\) | −6.65353 | − | 63.3041i | −0.335200 | − | 3.18922i | ||||
\(395\) | 24.0400 | + | 8.42038i | 1.20958 | + | 0.423675i | ||||
\(396\) | 1.23772 | − | 11.7761i | 0.0621977 | − | 0.591772i | ||||
\(397\) | −12.2097 | − | 27.4233i | −0.612785 | − | 1.37634i | −0.907216 | − | 0.420665i | \(-0.861797\pi\) |
0.294431 | − | 0.955673i | \(-0.404870\pi\) | |||||||
\(398\) | 24.3270 | + | 7.90432i | 1.21940 | + | 0.396208i | ||||
\(399\) | 8.60118 | + | 19.9456i | 0.430598 | + | 0.998529i | ||||
\(400\) | 10.0751 | − | 66.5619i | 0.503755 | − | 3.32809i | ||||
\(401\) | 2.85182 | − | 4.93949i | 0.142413 | − | 0.246667i | −0.785992 | − | 0.618237i | \(-0.787847\pi\) |
0.928405 | + | 0.371570i | \(0.121181\pi\) | |||||||
\(402\) | −14.1019 | − | 66.3444i | −0.703341 | − | 3.30896i | ||||
\(403\) | −28.0346 | − | 2.94656i | −1.39650 | − | 0.146778i | ||||
\(404\) | −52.6960 | + | 23.4618i | −2.62172 | + | 1.16727i | ||||
\(405\) | 8.18848 | + | 19.5786i | 0.406889 | + | 0.972871i | ||||
\(406\) | 19.5586 | − | 10.9880i | 0.970679 | − | 0.545327i | ||||
\(407\) | 6.37896i | 0.316193i | ||||||||
\(408\) | −22.6599 | + | 2.38166i | −1.12183 | + | 0.117910i | ||||
\(409\) | 2.86329 | − | 3.18000i | 0.141581 | − | 0.157241i | −0.668184 | − | 0.743996i | \(-0.732928\pi\) |
0.809765 | + | 0.586755i | \(0.199595\pi\) | |||||||
\(410\) | 4.96829 | + | 16.5640i | 0.245366 | + | 0.818036i | ||||
\(411\) | −21.1321 | − | 23.4696i | −1.04237 | − | 1.15767i | ||||
\(412\) | 13.3705 | − | 4.34435i | 0.658719 | − | 0.214031i | ||||
\(413\) | −6.53761 | + | 19.3448i | −0.321695 | + | 0.951897i | ||||
\(414\) | −3.77993 | + | 11.6334i | −0.185774 | + | 0.571752i | ||||
\(415\) | 0.360357 | − | 2.81162i | 0.0176892 | − | 0.138017i | ||||
\(416\) | 50.1125 | − | 55.6556i | 2.45697 | − | 2.72874i | ||||
\(417\) | 2.58175 | − | 5.79871i | 0.126429 | − | 0.283964i | ||||
\(418\) | −6.29317 | − | 3.63337i | −0.307809 | − | 0.177714i | ||||
\(419\) | −19.7018 | + | 14.3142i | −0.962496 | + | 0.699294i | −0.953729 | − | 0.300667i | \(-0.902791\pi\) |
−0.00876684 | + | 0.999962i | \(0.502791\pi\) | |||||||
\(420\) | −40.0575 | + | 64.1642i | −1.95460 | + | 3.13089i | ||||
\(421\) | −12.1767 | − | 8.84692i | −0.593458 | − | 0.431172i | 0.250093 | − | 0.968222i | \(-0.419539\pi\) |
−0.843551 | + | 0.537050i | \(0.819539\pi\) | |||||||
\(422\) | −5.25881 | − | 11.8115i | −0.255995 | − | 0.574974i | ||||
\(423\) | −0.767188 | − | 3.60934i | −0.0373020 | − | 0.175492i | ||||
\(424\) | 44.2748 | + | 76.6863i | 2.15018 | + | 3.72421i | ||||
\(425\) | −4.96034 | − | 1.86518i | −0.240612 | − | 0.0904746i | ||||
\(426\) | −30.3730 | −1.47157 | ||||||||
\(427\) | −20.8706 | − | 9.58738i | −1.01000 | − | 0.463966i | ||||
\(428\) | 5.08014 | − | 6.99221i | 0.245558 | − | 0.337981i | ||||
\(429\) | 7.03825 | − | 3.13363i | 0.339810 | − | 0.151293i | ||||
\(430\) | 0.822616 | − | 36.1491i | 0.0396701 | − | 1.74327i | ||||
\(431\) | −10.8797 | − | 4.84394i | −0.524055 | − | 0.233324i | 0.127620 | − | 0.991823i | \(-0.459266\pi\) |
−0.651674 | + | 0.758499i | \(0.725933\pi\) | |||||||
\(432\) | 4.88723 | + | 2.82165i | 0.235137 | + | 0.135756i | ||||
\(433\) | −6.09477 | − | 8.38874i | −0.292896 | − | 0.403137i | 0.637056 | − | 0.770818i | \(-0.280152\pi\) |
−0.929952 | + | 0.367681i | \(0.880152\pi\) | |||||||
\(434\) | 37.4894 | − | 32.9669i | 1.79955 | − | 1.58246i | ||||
\(435\) | 1.38714 | + | 16.8852i | 0.0665085 | + | 0.809583i | ||||
\(436\) | −1.43541 | − | 1.59418i | −0.0687437 | − | 0.0763476i | ||||
\(437\) | 4.04960 | + | 3.64627i | 0.193718 | + | 0.174425i | ||||
\(438\) | −36.8778 | − | 33.2049i | −1.76209 | − | 1.58659i | ||||
\(439\) | −16.2877 | − | 18.0893i | −0.777367 | − | 0.863354i | 0.216229 | − | 0.976343i | \(-0.430624\pi\) |
−0.993596 | + | 0.112989i | \(0.963958\pi\) | |||||||
\(440\) | −1.28962 | − | 15.6980i | −0.0614800 | − | 0.748373i | ||||
\(441\) | 16.2746 | − | 11.2500i | 0.774983 | − | 0.535714i | ||||
\(442\) | −6.79129 | − | 9.34741i | −0.323029 | − | 0.444611i | ||||
\(443\) | 12.7070 | + | 7.33639i | 0.603728 | + | 0.348562i | 0.770507 | − | 0.637432i | \(-0.220003\pi\) |
−0.166779 | + | 0.985994i | \(0.553337\pi\) | |||||||
\(444\) | 94.2049 | + | 41.9427i | 4.47077 | + | 1.99051i | ||||
\(445\) | −0.260109 | + | 11.4303i | −0.0123303 | + | 0.541846i | ||||
\(446\) | 18.6010 | − | 8.28169i | 0.880782 | − | 0.392149i | ||||
\(447\) | 0.196844 | − | 0.270932i | 0.00931039 | − | 0.0128147i | ||||
\(448\) | 5.69955 | + | 61.1232i | 0.269278 | + | 2.88780i | ||||
\(449\) | −15.1223 | −0.713665 | −0.356833 | − | 0.934168i | \(-0.616143\pi\) | ||||
−0.356833 | + | 0.934168i | \(0.616143\pi\) | |||||||
\(450\) | −21.0101 | − | 31.8722i | −0.990424 | − | 1.50247i | ||||
\(451\) | 1.13218 | + | 1.96100i | 0.0533125 | + | 0.0923400i | ||||
\(452\) | 19.6420 | + | 92.4085i | 0.923883 | + | 4.34653i | ||||
\(453\) | 12.6369 | + | 28.3830i | 0.593735 | + | 1.33355i | ||||
\(454\) | −20.3946 | − | 14.8175i | −0.957164 | − | 0.695421i | ||||
\(455\) | −23.8605 | − | 0.823368i | −1.11860 | − | 0.0386001i | ||||
\(456\) | −59.1532 | + | 42.9773i | −2.77010 | + | 2.01260i | ||||
\(457\) | −19.5255 | − | 11.2730i | −0.913363 | − | 0.527330i | −0.0318513 | − | 0.999493i | \(-0.510140\pi\) |
−0.881512 | + | 0.472162i | \(0.843474\pi\) | |||||||
\(458\) | −22.6857 | + | 50.9529i | −1.06003 | + | 2.38087i | ||||
\(459\) | 0.297254 | − | 0.330134i | 0.0138746 | − | 0.0154093i | ||||
\(460\) | −2.41243 | + | 18.8225i | −0.112480 | + | 0.877606i | ||||
\(461\) | 6.17680 | − | 19.0102i | 0.287682 | − | 0.885395i | −0.697899 | − | 0.716196i | \(-0.745882\pi\) |
0.985582 | − | 0.169200i | \(-0.0541183\pi\) | |||||||
\(462\) | −4.36840 | + | 12.9261i | −0.203236 | + | 0.601377i | ||||
\(463\) | −30.6784 | + | 9.96803i | −1.42575 | + | 0.463253i | −0.917423 | − | 0.397912i | \(-0.869735\pi\) |
−0.508324 | + | 0.861166i | \(0.669735\pi\) | |||||||
\(464\) | 28.2793 | + | 31.4073i | 1.31283 | + | 1.45805i | ||||
\(465\) | 10.8317 | + | 36.1122i | 0.502308 | + | 1.67466i | ||||
\(466\) | −13.1647 | + | 14.6209i | −0.609843 | + | 0.677299i | ||||
\(467\) | 42.5715 | − | 4.47444i | 1.96997 | − | 0.207053i | 0.970547 | − | 0.240912i | \(-0.0774465\pi\) |
0.999427 | + | 0.0338592i | \(0.0107798\pi\) | |||||||
\(468\) | − | 60.4169i | − | 2.79277i | ||||||
\(469\) | −0.323147 | + | 27.5200i | −0.0149215 | + | 1.27076i | ||||
\(470\) | −3.04277 | − | 7.27526i | −0.140352 | − | 0.335583i | ||||
\(471\) | 19.4823 | − | 8.67408i | 0.897697 | − | 0.399680i | ||||
\(472\) | −68.3599 | − | 7.18491i | −3.14652 | − | 0.330712i | ||||
\(473\) | −0.984386 | − | 4.63117i | −0.0452621 | − | 0.212942i | ||||
\(474\) | 37.1380 | − | 64.3249i | 1.70580 | − | 2.95454i | ||||
\(475\) | −16.7781 | + | 2.77543i | −0.769832 | + | 0.127345i | ||||
\(476\) | 14.7531 | + | 1.72598i | 0.676208 | + | 0.0791101i | ||||
\(477\) | 26.7259 | + | 8.68378i | 1.22370 | + | 0.397603i | ||||
\(478\) | 14.7378 | + | 33.1017i | 0.674093 | + | 1.51404i | ||||
\(479\) | −2.16401 | + | 20.5891i | −0.0988759 | + | 0.940742i | 0.826818 | + | 0.562469i | \(0.190148\pi\) |
−0.925694 | + | 0.378273i | \(0.876518\pi\) | |||||||
\(480\) | −94.5336 | − | 33.1119i | −4.31485 | − | 1.51134i | ||||
\(481\) | 3.40216 | + | 32.3694i | 0.155125 | + | 1.47592i | ||||
\(482\) | 57.5209i | 2.62001i | ||||||||
\(483\) | 5.21957 | − | 8.80030i | 0.237499 | − | 0.400427i | ||||
\(484\) | 16.9815 | + | 52.2636i | 0.771885 | + | 2.37562i | ||||
\(485\) | 9.82773 | − | 1.85633i | 0.446254 | − | 0.0842915i | ||||
\(486\) | 57.2084 | − | 12.1600i | 2.59502 | − | 0.551589i | ||||
\(487\) | −23.1169 | − | 20.8146i | −1.04753 | − | 0.943199i | −0.0490752 | − | 0.998795i | \(-0.515627\pi\) |
−0.998453 | + | 0.0555962i | \(0.982294\pi\) | |||||||
\(488\) | 16.0742 | − | 75.6230i | 0.727643 | − | 3.42329i | ||||
\(489\) | 1.70009 | − | 5.23232i | 0.0768805 | − | 0.236614i | ||||
\(490\) | 29.7142 | − | 30.0804i | 1.34235 | − | 1.35889i | ||||
\(491\) | −12.3059 | − | 37.8737i | −0.555357 | − | 1.70921i | −0.694998 | − | 0.719012i | \(-0.744595\pi\) |
0.139641 | − | 0.990202i | \(-0.455405\pi\) | |||||||
\(492\) | 36.4045 | − | 3.82627i | 1.64124 | − | 0.172502i | ||||
\(493\) | 2.88119 | − | 1.66346i | 0.129762 | − | 0.0749183i | ||||
\(494\) | −33.8719 | − | 15.0808i | −1.52397 | − | 0.678515i | ||||
\(495\) | −3.63760 | − | 3.42833i | −0.163498 | − | 0.154092i | ||||
\(496\) | 76.0867 | + | 55.2802i | 3.41640 | + | 2.48216i | ||||
\(497\) | 12.0242 | + | 2.70376i | 0.539358 | + | 0.121280i | ||||
\(498\) | −7.86115 | − | 2.55424i | −0.352266 | − | 0.114458i | ||||
\(499\) | 10.5057 | − | 18.1964i | 0.470301 | − | 0.814585i | −0.529123 | − | 0.848545i | \(-0.677479\pi\) |
0.999423 | + | 0.0339609i | \(0.0108122\pi\) | |||||||
\(500\) | −41.2053 | − | 42.5367i | −1.84276 | − | 1.90230i | ||||
\(501\) | 7.65204 | + | 13.2537i | 0.341868 | + | 0.592133i | ||||
\(502\) | −35.8066 | + | 32.2404i | −1.59813 | + | 1.43896i | ||||
\(503\) | −18.3886 | + | 25.3097i | −0.819907 | + | 1.12850i | 0.169812 | + | 0.985477i | \(0.445684\pi\) |
−0.989719 | + | 0.143028i | \(0.954316\pi\) | |||||||
\(504\) | 48.9655 | + | 45.1410i | 2.18110 | + | 2.01074i | ||||
\(505\) | −5.60327 | + | 23.6968i | −0.249342 | + | 1.05450i | ||||
\(506\) | 0.357801 | + | 3.40425i | 0.0159062 | + | 0.151338i | ||||
\(507\) | 6.86847 | − | 3.96551i | 0.305039 | − | 0.176114i | ||||
\(508\) | 40.7271 | − | 91.4745i | 1.80697 | − | 4.05852i | ||||
\(509\) | −40.0342 | − | 8.50953i | −1.77449 | − | 0.377178i | −0.799713 | − | 0.600382i | \(-0.795015\pi\) |
−0.974772 | + | 0.223203i | \(0.928349\pi\) | |||||||
\(510\) | −8.02897 | + | 13.2035i | −0.355529 | + | 0.584659i | ||||
\(511\) | 11.6435 | + | 16.4281i | 0.515077 | + | 0.726736i | ||||
\(512\) | −9.55039 | + | 3.10311i | −0.422071 | + | 0.137139i | ||||
\(513\) | 0.296396 | − | 1.39443i | 0.0130862 | − | 0.0615657i | ||||
\(514\) | 28.8455 | − | 6.13130i | 1.27232 | − | 0.270440i | ||||
\(515\) | 1.96186 | − | 5.60106i | 0.0864499 | − | 0.246812i | ||||
\(516\) | −74.8660 | − | 15.9133i | −3.29579 | − | 0.700543i | ||||
\(517\) | −0.606942 | − | 0.835385i | −0.0266933 | − | 0.0367402i | ||||
\(518\) | −46.2321 | − | 34.4262i | −2.03132 | − | 1.51260i | ||||
\(519\) | 43.5321 | − | 31.6279i | 1.91085 | − | 1.38831i | ||||
\(520\) | −14.9164 | − | 78.9702i | −0.654129 | − | 3.46307i | ||||
\(521\) | 1.19293 | − | 11.3500i | 0.0522634 | − | 0.497253i | −0.936811 | − | 0.349836i | \(-0.886237\pi\) |
0.989074 | − | 0.147417i | \(-0.0470960\pi\) | |||||||
\(522\) | 23.8339 | + | 2.50505i | 1.04318 | + | 0.109643i | ||||
\(523\) | −2.60074 | + | 2.34171i | −0.113722 | + | 0.102396i | −0.724030 | − | 0.689768i | \(-0.757712\pi\) |
0.610308 | + | 0.792164i | \(0.291046\pi\) | |||||||
\(524\) | −54.8996 | −2.39830 | ||||||||
\(525\) | 11.2974 | + | 29.8661i | 0.493058 | + | 1.30346i | ||||
\(526\) | 29.2282 | 1.27441 | ||||||||
\(527\) | 5.50185 | − | 4.95389i | 0.239664 | − | 0.215795i | ||||
\(528\) | −25.5635 | − | 2.68683i | −1.11251 | − | 0.116929i | ||||
\(529\) | −2.13584 | + | 20.3212i | −0.0928627 | + | 0.883530i | ||||
\(530\) | 59.5687 | + | 7.63474i | 2.58750 | + | 0.331632i | ||||
\(531\) | −17.6475 | + | 12.8217i | −0.765838 | + | 0.556414i | ||||
\(532\) | 43.7700 | − | 18.8750i | 1.89767 | − | 0.818337i | ||||
\(533\) | 6.79105 | + | 9.34707i | 0.294153 | + | 0.404867i | ||||
\(534\) | 32.6105 | + | 6.93158i | 1.41119 | + | 0.299959i | ||||
\(535\) | −1.04821 | − | 3.49468i | −0.0453182 | − | 0.151088i | ||||
\(536\) | −90.6195 | + | 19.2618i | −3.91417 | + | 0.831982i | ||||
\(537\) | −8.24597 | + | 38.7942i | −0.355840 | + | 1.67409i | ||||
\(538\) | 58.1093 | − | 18.8808i | 2.50527 | − | 0.814011i | ||||
\(539\) | 2.88004 | − | 4.72838i | 0.124052 | − | 0.203666i | ||||
\(540\) | 4.58001 | − | 1.91552i | 0.197092 | − | 0.0824310i | ||||
\(541\) | −39.4420 | − | 8.38365i | −1.69574 | − | 0.360441i | −0.744200 | − | 0.667957i | \(-0.767169\pi\) |
−0.951543 | + | 0.307515i | \(0.900502\pi\) | |||||||
\(542\) | −7.51682 | + | 16.8830i | −0.322875 | + | 0.725189i | ||||
\(543\) | 29.8263 | − | 17.2202i | 1.27997 | − | 0.738990i | ||||
\(544\) | 2.05601 | + | 19.5616i | 0.0881506 | + | 0.838697i | ||||
\(545\) | −0.902530 | + | 0.0741442i | −0.0386601 | + | 0.00317599i | ||||
\(546\) | −15.2730 | + | 67.9222i | −0.653623 | + | 2.90680i | ||||
\(547\) | 5.11224 | − | 7.03640i | 0.218584 | − | 0.300855i | −0.685617 | − | 0.727962i | \(-0.740468\pi\) |
0.904201 | + | 0.427108i | \(0.140468\pi\) | |||||||
\(548\) | −51.5032 | + | 46.3737i | −2.20011 | + | 1.98099i | ||||
\(549\) | −12.2676 | − | 21.2481i | −0.523568 | − | 0.906846i | ||||
\(550\) | −8.99880 | − | 5.75657i | −0.383710 | − | 0.245461i | ||||
\(551\) | 5.33811 | − | 9.24588i | 0.227411 | − | 0.393888i | ||||
\(552\) | 32.7564 | + | 10.6432i | 1.39420 | + | 0.453004i | ||||
\(553\) | −20.4284 | + | 22.1592i | −0.868706 | + | 0.942306i | ||||
\(554\) | 13.1509 | + | 9.55466i | 0.558726 | + | 0.405938i | ||||
\(555\) | 38.1845 | − | 20.9023i | 1.62084 | − | 0.887253i | ||||
\(556\) | −12.7251 | − | 5.66557i | −0.539664 | − | 0.240274i | ||||
\(557\) | 28.6180 | − | 16.5226i | 1.21258 | − | 0.700084i | 0.249261 | − | 0.968436i | \(-0.419812\pi\) |
0.963321 | + | 0.268352i | \(0.0864790\pi\) | |||||||
\(558\) | 53.0383 | − | 5.57455i | 2.24529 | − | 0.235990i | ||||
\(559\) | −7.46517 | − | 22.9754i | −0.315743 | − | 0.971757i | ||||
\(560\) | 67.5680 | + | 42.1824i | 2.85527 | + | 1.78253i | ||||
\(561\) | −0.625277 | + | 1.92440i | −0.0263992 | + | 0.0812484i | ||||
\(562\) | −14.3093 | + | 67.3201i | −0.603602 | + | 2.83973i | ||||
\(563\) | 29.4451 | + | 26.5125i | 1.24096 | + | 1.11737i | 0.988731 | + | 0.149702i | \(0.0478313\pi\) |
0.252232 | + | 0.967667i | \(0.418835\pi\) | |||||||
\(564\) | −16.3278 | + | 3.47058i | −0.687523 | + | 0.146138i | ||||
\(565\) | 36.0545 | + | 17.0457i | 1.51682 | + | 0.717117i | ||||
\(566\) | −2.74485 | − | 8.44779i | −0.115375 | − | 0.355087i | ||||
\(567\) | −25.1085 | − | 0.294830i | −1.05446 | − | 0.0123817i | ||||
\(568\) | 41.4863i | 1.74073i | ||||||||
\(569\) | 2.24801 | + | 21.3884i | 0.0942414 | + | 0.896647i | 0.934859 | + | 0.355019i | \(0.115525\pi\) |
−0.840618 | + | 0.541629i | \(0.817808\pi\) | |||||||
\(570\) | −1.12818 | + | 49.5767i | −0.0472541 | + | 2.07654i | ||||
\(571\) | 4.89905 | − | 46.6113i | 0.205019 | − | 1.95062i | −0.0920192 | − | 0.995757i | \(-0.529332\pi\) |
0.297038 | − | 0.954866i | \(-0.404001\pi\) | |||||||
\(572\) | −6.87666 | − | 15.4452i | −0.287528 | − | 0.645798i | ||||
\(573\) | 33.9697 | + | 11.0374i | 1.41911 | + | 0.461095i | ||||
\(574\) | −20.3228 | − | 2.37758i | −0.848257 | − | 0.0992383i | ||||
\(575\) | 5.70316 | + | 5.62549i | 0.237838 | + | 0.234599i | ||||
\(576\) | −32.7894 | + | 56.7929i | −1.36623 | + | 2.36637i | ||||
\(577\) | −6.00148 | − | 28.2348i | −0.249845 | − | 1.17543i | −0.906821 | − | 0.421517i | \(-0.861498\pi\) |
0.656976 | − | 0.753912i | \(-0.271835\pi\) | |||||||
\(578\) | −42.6525 | − | 4.48296i | −1.77411 | − | 0.186467i | ||||
\(579\) | −21.5354 | + | 9.58819i | −0.894982 | + | 0.398472i | ||||
\(580\) | 37.0540 | − | 3.04405i | 1.53858 | − | 0.126397i | ||||
\(581\) | 2.88473 | + | 1.71097i | 0.119679 | + | 0.0709831i | ||||
\(582\) | − | 29.1642i | − | 1.20890i | ||||||
\(583\) | 7.82072 | − | 0.821991i | 0.323901 | − | 0.0340434i | ||||
\(584\) | −45.3544 | + | 50.3711i | −1.87678 | + | 2.08437i | ||||
\(585\) | −20.2871 | − | 15.4567i | −0.838769 | − | 0.639054i | ||||
\(586\) | −1.15105 | − | 1.27837i | −0.0475493 | − | 0.0528088i | ||||
\(587\) | 21.9302 | − | 7.12555i | 0.905156 | − | 0.294103i | 0.180793 | − | 0.983521i | \(-0.442134\pi\) |
0.724364 | + | 0.689418i | \(0.242134\pi\) | |||||||
\(588\) | −50.8923 | − | 73.6226i | −2.09876 | − | 3.03614i | ||||
\(589\) | 7.34166 | − | 22.5953i | 0.302508 | − | 0.931023i | ||||
\(590\) | −31.9738 | + | 33.9255i | −1.31634 | + | 1.39669i | ||||
\(591\) | −38.0588 | + | 42.2686i | −1.56553 | + | 1.73870i | ||||
\(592\) | 44.1677 | − | 99.2022i | 1.81528 | − | 4.07719i | ||||
\(593\) | 3.38925 | + | 1.95678i | 0.139180 | + | 0.0803555i | 0.567973 | − | 0.823047i | \(-0.307728\pi\) |
−0.428793 | + | 0.903403i | \(0.641061\pi\) | |||||||
\(594\) | 0.724469 | − | 0.526358i | 0.0297253 | − | 0.0215967i | ||||
\(595\) | 4.35390 | − | 4.51232i | 0.178492 | − | 0.184987i | ||||
\(596\) | −0.594552 | − | 0.431968i | −0.0243538 | − | 0.0176941i | ||||
\(597\) | −9.29656 | − | 20.8804i | −0.380483 | − | 0.854579i | ||||
\(598\) | 3.63126 | + | 17.0837i | 0.148493 | + | 0.698606i | ||||
\(599\) | −6.17459 | − | 10.6947i | −0.252287 | − | 0.436974i | 0.711868 | − | 0.702313i | \(-0.247849\pi\) |
−0.964155 | + | 0.265339i | \(0.914516\pi\) | |||||||
\(600\) | −89.7427 | + | 59.1582i | −3.66373 | + | 2.41512i | ||||
\(601\) | 8.03546 | 0.327773 | 0.163887 | − | 0.986479i | \(-0.447597\pi\) | ||||
0.163887 | + | 0.986479i | \(0.447597\pi\) | |||||||
\(602\) | 38.8775 | + | 17.8593i | 1.58453 | + | 0.727889i | ||||
\(603\) | −17.2813 | + | 23.7856i | −0.703748 | + | 0.968626i | ||||
\(604\) | 62.2857 | − | 27.7314i | 2.53437 | − | 1.12837i | ||||
\(605\) | 21.8938 | + | 7.66864i | 0.890109 | + | 0.311775i | ||||
\(606\) | 64.8664 | + | 28.8804i | 2.63502 | + | 1.17318i | ||||
\(607\) | 26.6808 | + | 15.4042i | 1.08294 | + | 0.625237i | 0.931689 | − | 0.363258i | \(-0.118336\pi\) |
0.151253 | + | 0.988495i | \(0.451669\pi\) | |||||||
\(608\) | 37.1010 | + | 51.0651i | 1.50464 | + | 2.07096i | ||||
\(609\) | −18.9910 | − | 6.41802i | −0.769552 | − | 0.260071i | ||||
\(610\) | −34.1901 | − | 39.7547i | −1.38432 | − | 1.60962i | ||||
\(611\) | −3.52542 | − | 3.91537i | −0.142623 | − | 0.158399i | ||||
\(612\) | 11.7920 | + | 10.6176i | 0.476663 | + | 0.429189i | ||||
\(613\) | 31.2518 | + | 28.1392i | 1.26225 | + | 1.13653i | 0.984407 | + | 0.175905i | \(0.0562851\pi\) |
0.277840 | + | 0.960627i | \(0.410382\pi\) | |||||||
\(614\) | 55.8751 | + | 62.0556i | 2.25494 | + | 2.50436i | ||||
\(615\) | 8.02869 | − | 13.2030i | 0.323748 | − | 0.532396i | ||||
\(616\) | 17.6557 | + | 5.96677i | 0.711369 | + | 0.240408i | ||||
\(617\) | 4.89422 | + | 6.73631i | 0.197034 | + | 0.271194i | 0.896089 | − | 0.443874i | \(-0.146396\pi\) |
−0.699056 | + | 0.715067i | \(0.746396\pi\) | |||||||
\(618\) | −14.9870 | − | 8.65276i | −0.602866 | − | 0.348065i | ||||
\(619\) | −3.43473 | − | 1.52924i | −0.138053 | − | 0.0614653i | 0.336547 | − | 0.941667i | \(-0.390741\pi\) |
−0.474601 | + | 0.880201i | \(0.657407\pi\) | |||||||
\(620\) | 79.2471 | − | 23.7698i | 3.18264 | − | 0.954619i | ||||
\(621\) | −0.613467 | + | 0.273133i | −0.0246176 | + | 0.0109605i | ||||
\(622\) | 27.3278 | − | 37.6135i | 1.09575 | − | 1.50816i | ||||
\(623\) | −12.2929 | − | 5.64704i | −0.492507 | − | 0.226244i | ||||
\(624\) | −131.152 | −5.25030 | ||||||||
\(625\) | −24.8249 | + | 2.95385i | −0.992995 | + | 0.118154i | ||||
\(626\) | −13.0280 | − | 22.5651i | −0.520703 | − | 0.901884i | ||||
\(627\) | 1.35004 | + | 6.35142i | 0.0539152 | + | 0.253651i | ||||
\(628\) | −19.0350 | − | 42.7533i | −0.759579 | − | 1.70604i | ||||
\(629\) | −6.91565 | − | 5.02451i | −0.275745 | − | 0.200340i | ||||
\(630\) | 44.4787 | − | 7.86172i | 1.77207 | − | 0.313219i | ||||
\(631\) | −8.07268 | + | 5.86514i | −0.321368 | + | 0.233488i | −0.736759 | − | 0.676155i | \(-0.763645\pi\) |
0.415391 | + | 0.909643i | \(0.363645\pi\) | |||||||
\(632\) | −87.8610 | − | 50.7266i | −3.49492 | − | 2.01779i | ||||
\(633\) | −4.69910 | + | 10.5543i | −0.186772 | + | 0.419498i | ||||
\(634\) | −11.8779 | + | 13.1918i | −0.471733 | + | 0.523912i | ||||
\(635\) | −20.2965 | − | 37.0778i | −0.805440 | − | 1.47139i | ||||
\(636\) | 39.2834 | − | 120.902i | 1.55769 | − | 4.79407i | ||||
\(637\) | 12.0927 | − | 25.5297i | 0.479129 | − | 1.01153i | ||||
\(638\) | 6.37813 | − | 2.07238i | 0.252513 | − | 0.0820463i | ||||
\(639\) | 8.80957 | + | 9.78402i | 0.348501 | + | 0.387050i | ||||
\(640\) | −18.8943 | + | 53.9428i | −0.746863 | + | 2.13228i | ||||
\(641\) | −3.49313 | + | 3.87952i | −0.137970 | + | 0.153232i | −0.808170 | − | 0.588949i | \(-0.799542\pi\) |
0.670200 | + | 0.742181i | \(0.266208\pi\) | |||||||
\(642\) | −10.5807 | + | 1.11207i | −0.417586 | + | 0.0438900i | ||||
\(643\) | − | 10.1115i | − | 0.398759i | −0.979922 | − | 0.199379i | \(-0.936107\pi\) | ||
0.979922 | − | 0.199379i | \(-0.0638926\pi\) | |||||||
\(644\) | −19.3120 | − | 11.4542i | −0.760999 | − | 0.451359i | ||||
\(645\) | −24.4967 | + | 21.0678i | −0.964556 | + | 0.829543i | ||||
\(646\) | 8.89601 | − | 3.96076i | 0.350009 | − | 0.155834i | ||||
\(647\) | −38.6115 | − | 4.05823i | −1.51797 | − | 0.159545i | −0.691440 | − | 0.722434i | \(-0.743023\pi\) |
−0.826533 | + | 0.562888i | \(0.809690\pi\) | |||||||
\(648\) | −17.5739 | − | 82.6787i | −0.690368 | − | 3.24793i | ||||
\(649\) | −3.05213 | + | 5.28644i | −0.119806 | + | 0.207511i | ||||
\(650\) | −48.7338 | − | 24.4117i | −1.91150 | − | 0.957507i | ||||
\(651\) | −44.3070 | − | 5.18352i | −1.73653 | − | 0.203158i | ||||
\(652\) | −11.4822 | − | 3.73079i | −0.449677 | − | 0.146109i | ||||
\(653\) | −4.23940 | − | 9.52184i | −0.165900 | − | 0.372618i | 0.811395 | − | 0.584498i | \(-0.198708\pi\) |
−0.977296 | + | 0.211879i | \(0.932042\pi\) | |||||||
\(654\) | −0.276021 | + | 2.62616i | −0.0107933 | + | 0.102691i | ||||
\(655\) | −14.0452 | + | 18.4345i | −0.548790 | + | 0.720295i | ||||
\(656\) | −4.02924 | − | 38.3357i | −0.157316 | − | 1.49676i | ||||
\(657\) | 21.5104i | 0.839199i | ||||||||
\(658\) | 9.33011 | + | 0.109556i | 0.363725 | + | 0.00427095i | ||||
\(659\) | 10.3404 | + | 31.8246i | 0.402806 | + | 1.23971i | 0.922713 | + | 0.385487i | \(0.125966\pi\) |
−0.519908 | + | 0.854223i | \(0.674034\pi\) | |||||||
\(660\) | −15.5090 | + | 16.4556i | −0.603685 | + | 0.640534i | ||||
\(661\) | −37.1883 | + | 7.90461i | −1.44646 | + | 0.307454i | −0.863211 | − | 0.504843i | \(-0.831550\pi\) |
−0.583245 | + | 0.812296i | \(0.698217\pi\) | |||||||
\(662\) | −53.5594 | − | 48.2251i | −2.08165 | − | 1.87432i | ||||
\(663\) | −2.14654 | + | 10.0987i | −0.0833648 | + | 0.392200i | ||||
\(664\) | −3.48883 | + | 10.7375i | −0.135393 | + | 0.416696i | ||||
\(665\) | 4.85987 | − | 19.5262i | 0.188458 | − | 0.757193i | ||||
\(666\) | −19.0282 | − | 58.5628i | −0.737328 | − | 2.26926i | ||||
\(667\) | −5.00150 | + | 0.525679i | −0.193659 | + | 0.0203544i | ||||
\(668\) | 29.0849 | − | 16.7922i | 1.12533 | − | 0.649709i | ||||
\(669\) | −16.6212 | − | 7.40024i | −0.642613 | − | 0.286110i | ||||
\(670\) | −26.8557 | + | 56.8044i | −1.03753 | + | 2.19454i | ||||
\(671\) | −5.55460 | − | 4.03565i | −0.214433 | − | 0.155795i | ||||
\(672\) | 80.3317 | − | 87.1378i | 3.09886 | − | 3.36141i | ||||
\(673\) | 14.7859 | + | 4.80424i | 0.569956 | + | 0.185190i | 0.579796 | − | 0.814762i | \(-0.303132\pi\) |
−0.00983998 | + | 0.999952i | \(0.503132\pi\) | |||||||
\(674\) | 3.80590 | − | 6.59201i | 0.146598 | − | 0.253915i | ||||
\(675\) | 0.528516 | − | 2.02796i | 0.0203426 | − | 0.0780561i | ||||
\(676\) | −8.70219 | − | 15.0726i | −0.334700 | − | 0.579717i | ||||
\(677\) | 23.6815 | − | 21.3229i | 0.910152 | − | 0.819505i | −0.0739216 | − | 0.997264i | \(-0.523551\pi\) |
0.984074 | + | 0.177759i | \(0.0568848\pi\) | |||||||
\(678\) | 68.3547 | − | 94.0821i | 2.62514 | − | 3.61320i | ||||
\(679\) | −2.59616 | + | 11.5457i | −0.0996313 | + | 0.443082i | ||||
\(680\) | 18.0346 | + | 10.9667i | 0.691594 | + | 0.420555i | ||||
\(681\) | 2.35461 | + | 22.4026i | 0.0902287 | + | 0.858469i | ||||
\(682\) | 12.9244 | − | 7.46193i | 0.494902 | − | 0.285732i | ||||
\(683\) | −7.51136 | + | 16.8708i | −0.287414 | + | 0.645543i | −0.998332 | − | 0.0577323i | \(-0.981613\pi\) |
0.710918 | + | 0.703275i | \(0.248280\pi\) | |||||||
\(684\) | 49.8074 | + | 10.5869i | 1.90444 | + | 0.404800i | ||||
\(685\) | 2.39537 | + | 29.1580i | 0.0915225 | + | 1.11407i | ||||
\(686\) | 18.7263 | + | 46.3917i | 0.714973 | + | 1.77124i | ||||
\(687\) | 47.3993 | − | 15.4010i | 1.80840 | − | 0.587584i | ||||
\(688\) | −16.7574 | + | 78.8375i | −0.638871 | + | 3.00565i | ||||
\(689\) | 39.2471 | − | 8.34223i | 1.49520 | − | 0.317814i | ||||
\(690\) | 19.2055 | − | 13.2967i | 0.731140 | − | 0.506197i | ||||
\(691\) | 27.5058 | + | 5.84654i | 1.04637 | + | 0.222413i | 0.698857 | − | 0.715262i | \(-0.253693\pi\) |
0.347514 | + | 0.937675i | \(0.387026\pi\) | |||||||
\(692\) | −69.4065 | − | 95.5299i | −2.63844 | − | 3.63150i | ||||
\(693\) | 5.43092 | − | 2.34199i | 0.206304 | − | 0.0889647i | ||||
\(694\) | −59.5511 | + | 43.2664i | −2.26053 | + | 1.64237i | ||||
\(695\) | −5.15792 | + | 2.82346i | −0.195651 | + | 0.107100i | ||||
\(696\) | 7.05348 | − | 67.1094i | 0.267361 | − | 2.54377i | ||||
\(697\) | −3.01778 | − | 0.317181i | −0.114307 | − | 0.0120141i | ||||
\(698\) | −32.0995 | + | 28.9025i | −1.21498 | + | 1.09398i | ||||
\(699\) | 17.5803 | 0.664950 | ||||||||
\(700\) | 65.5402 | − | 24.7918i | 2.47719 | − | 0.937040i | ||||
\(701\) | 4.70394 | 0.177665 | 0.0888326 | − | 0.996047i | \(-0.471686\pi\) | ||||
0.0888326 | + | 0.996047i | \(0.471686\pi\) | |||||||
\(702\) | 3.39552 | − | 3.05734i | 0.128156 | − | 0.115392i | ||||
\(703\) | −27.2814 | − | 2.86739i | −1.02894 | − | 0.108146i | ||||
\(704\) | −1.91825 | + | 18.2509i | −0.0722966 | + | 0.687856i | ||||
\(705\) | −3.01182 | + | 6.37052i | −0.113432 | + | 0.239928i | ||||
\(706\) | −22.2875 | + | 16.1928i | −0.838800 | + | 0.609424i | ||||
\(707\) | −23.1087 | − | 17.2076i | −0.869091 | − | 0.647158i | ||||
\(708\) | 58.0023 | + | 79.8333i | 2.17986 | + | 3.00032i | ||||
\(709\) | 10.1401 | + | 2.15535i | 0.380821 | + | 0.0809460i | 0.394345 | − | 0.918963i | \(-0.370972\pi\) |
−0.0135238 | + | 0.999909i | \(0.504305\pi\) | |||||||
\(710\) | 22.3809 | + | 17.0519i | 0.839942 | + | 0.639948i | ||||
\(711\) | −31.4927 | + | 6.69397i | −1.18107 | + | 0.251044i | ||||
\(712\) | 9.46781 | − | 44.5425i | 0.354821 | − | 1.66930i | ||||
\(713\) | −10.6436 | + | 3.45830i | −0.398604 | + | 0.129514i | ||||
\(714\) | −10.5728 | − | 14.9174i | −0.395677 | − | 0.558272i | ||||
\(715\) | −6.94556 | − | 1.64232i | −0.259749 | − | 0.0614194i | ||||
\(716\) | 85.1327 | + | 18.0955i | 3.18156 | + | 0.676261i | ||||
\(717\) | 13.1692 | − | 29.5786i | 0.491814 | − | 1.10463i | ||||
\(718\) | −31.8501 | + | 18.3887i | −1.18864 | + | 0.686260i | ||||
\(719\) | −0.720500 | − | 6.85510i | −0.0268701 | − | 0.255652i | −0.999708 | − | 0.0241645i | \(-0.992307\pi\) |
0.972838 | − | 0.231487i | \(-0.0743592\pi\) | |||||||
\(720\) | 32.8324 | + | 78.5022i | 1.22359 | + | 2.92561i | ||||
\(721\) | 5.16287 | + | 4.75961i | 0.192275 | + | 0.177257i | ||||
\(722\) | −11.7999 | + | 16.2412i | −0.439146 | + | 0.604433i | ||||
\(723\) | 38.1967 | − | 34.3925i | 1.42055 | − | 1.27907i | ||||
\(724\) | −37.7892 | − | 65.4529i | −1.40443 | − | 2.43254i | ||||
\(725\) | 8.45751 | − | 13.2210i | 0.314104 | − | 0.491015i | ||||
\(726\) | 33.8224 | − | 58.5822i | 1.25527 | − | 2.17419i | ||||
\(727\) | −31.4680 | − | 10.2246i | −1.16708 | − | 0.379208i | −0.339529 | − | 0.940596i | \(-0.610268\pi\) |
−0.827553 | + | 0.561388i | \(0.810268\pi\) | |||||||
\(728\) | 92.7746 | + | 20.8613i | 3.43845 | + | 0.773171i | ||||
\(729\) | −19.2459 | − | 13.9829i | −0.712810 | − | 0.517886i | ||||
\(730\) | 8.53231 | + | 45.1716i | 0.315795 | + | 1.67187i | ||||
\(731\) | 5.79619 | + | 2.58063i | 0.214380 | + | 0.0954480i | ||||
\(732\) | −96.1212 | + | 55.4956i | −3.55274 | + | 2.05118i | ||||
\(733\) | −35.1560 | + | 3.69505i | −1.29852 | + | 0.136480i | −0.728439 | − | 0.685111i | \(-0.759754\pi\) |
−0.570078 | + | 0.821591i | \(0.693087\pi\) | |||||||
\(734\) | −10.3292 | − | 31.7899i | −0.381256 | − | 1.17339i | ||||
\(735\) | −37.7413 | − | 1.74624i | −1.39211 | − | 0.0644110i | ||||
\(736\) | 9.18792 | − | 28.2775i | 0.338671 | − | 1.04232i | ||||
\(737\) | −1.71057 | + | 8.04762i | −0.0630098 | + | 0.296438i | ||||
\(738\) | −16.2438 | − | 14.6259i | −0.597941 | − | 0.538388i | ||||
\(739\) | −26.5549 | + | 5.64441i | −0.976836 | + | 0.207633i | −0.668555 | − | 0.743662i | \(-0.733087\pi\) |
−0.308281 | + | 0.951295i | \(0.599754\pi\) | |||||||
\(740\) | −45.8694 | − | 83.7948i | −1.68619 | − | 3.08036i | ||||
\(741\) | 10.2381 | + | 31.5096i | 0.376106 | + | 1.15753i | ||||
\(742\) | −36.2497 | + | 61.1176i | −1.33077 | + | 2.24370i | ||||
\(743\) | 41.0539i | 1.50612i | 0.657950 | + | 0.753061i | \(0.271424\pi\) | ||||
−0.657950 | + | 0.753061i | \(0.728576\pi\) | |||||||
\(744\) | −15.6963 | − | 149.340i | −0.575454 | − | 5.47508i | ||||
\(745\) | −0.297155 | + | 0.0891303i | −0.0108869 | + | 0.00326548i | ||||
\(746\) | −6.23431 | + | 59.3155i | −0.228254 | + | 2.17170i | ||||
\(747\) | 1.45730 | + | 3.27316i | 0.0533199 | + | 0.119759i | ||||
\(748\) | 4.22304 | + | 1.37215i | 0.154410 | + | 0.0501708i | ||||
\(749\) | 4.28772 | + | 0.501623i | 0.156670 | + | 0.0183289i | ||||
\(750\) | −4.97202 | + | 72.7298i | −0.181553 | + | 2.65572i | ||||
\(751\) | −19.2411 | + | 33.3265i | −0.702116 | + | 1.21610i | 0.265606 | + | 0.964082i | \(0.414428\pi\) |
−0.967722 | + | 0.252019i | \(0.918905\pi\) | |||||||
\(752\) | 3.65468 | + | 17.1939i | 0.133272 | + | 0.626998i | ||||
\(753\) | 42.8185 | + | 4.50040i | 1.56039 | + | 0.164004i | ||||
\(754\) | 31.2599 | − | 13.9178i | 1.13842 | − | 0.506857i | ||||
\(755\) | 6.62296 | − | 28.0092i | 0.241034 | − | 1.01936i | ||||
\(756\) | −0.0689693 | + | 5.87361i | −0.00250839 | + | 0.213621i | ||||
\(757\) | 42.9315i | 1.56037i | 0.625548 | + | 0.780186i | \(0.284875\pi\) | ||||
−0.625548 | + | 0.780186i | \(0.715125\pi\) | |||||||
\(758\) | −16.9416 | + | 1.78063i | −0.615346 | + | 0.0646755i | ||||
\(759\) | 2.04666 | − | 2.27305i | 0.0742890 | − | 0.0825063i | ||||
\(760\) | 67.7166 | + | 1.54097i | 2.45634 | + | 0.0558968i | ||||
\(761\) | −16.6481 | − | 18.4896i | −0.603494 | − | 0.670248i | 0.361545 | − | 0.932355i | \(-0.382249\pi\) |
−0.965039 | + | 0.262107i | \(0.915583\pi\) | |||||||
\(762\) | −117.224 | + | 38.0885i | −4.24659 | + | 1.37980i | ||||
\(763\) | 0.343049 | − | 1.01508i | 0.0124192 | − | 0.0367485i | ||||
\(764\) | 24.2213 | − | 74.5455i | 0.876296 | − | 2.69696i | ||||
\(765\) | 6.58200 | − | 1.24325i | 0.237973 | − | 0.0449499i | ||||
\(766\) | 0.893879 | − | 0.992754i | 0.0322972 | − | 0.0358696i | ||||
\(767\) | −12.6682 | + | 28.4533i | −0.457424 | + | 1.02739i | ||||
\(768\) | 47.3317 | + | 27.3270i | 1.70794 | + | 0.986078i | ||||
\(769\) | −29.3208 | + | 21.3028i | −1.05733 | + | 0.768198i | −0.973593 | − | 0.228290i | \(-0.926687\pi\) |
−0.0837404 | + | 0.996488i | \(0.526687\pi\) | |||||||
\(770\) | 10.4759 | − | 7.07238i | 0.377525 | − | 0.254871i | ||||
\(771\) | −21.3186 | − | 15.4889i | −0.767770 | − | 0.557817i | ||||
\(772\) | 21.0410 | + | 47.2589i | 0.757282 | + | 1.70088i | ||||
\(773\) | −5.33185 | − | 25.0844i | −0.191773 | − | 0.902222i | −0.963799 | − | 0.266631i | \(-0.914090\pi\) |
0.772026 | − | 0.635591i | \(-0.219244\pi\) | |||||||
\(774\) | 22.8519 | + | 39.5807i | 0.821395 | + | 1.42270i | ||||
\(775\) | 12.2925 | − | 32.6911i | 0.441559 | − | 1.17430i | ||||
\(776\) | −39.8353 | −1.43000 | ||||||||
\(777\) | 4.78210 | + | 51.2843i | 0.171557 | + | 1.83981i | ||||
\(778\) | 1.64416 | − | 2.26300i | 0.0589462 | − | 0.0811324i | ||||
\(779\) | −8.89569 | + | 3.96062i | −0.318721 | + | 0.141904i | ||||
\(780\) | −69.9222 | + | 91.7741i | −2.50362 | + | 3.28604i | ||||
\(781\) | 3.36574 | + | 1.49852i | 0.120435 | + | 0.0536213i | ||||
\(782\) | −3.97250 | − | 2.29352i | −0.142056 | − | 0.0820163i | ||||
\(783\) | 0.773321 | + | 1.06438i | 0.0276362 | + | 0.0380380i | ||||
\(784\) | −77.5281 | + | 53.5919i | −2.76886 | + | 1.91400i | ||||
\(785\) | −19.2257 | − | 4.54605i | −0.686196 | − | 0.162255i | ||||
\(786\) | 45.2191 | + | 50.2209i | 1.61291 | + | 1.79132i | ||||
\(787\) | 10.6466 | + | 9.58622i | 0.379509 | + | 0.341712i | 0.836704 | − | 0.547655i | \(-0.184479\pi\) |
−0.457195 | + | 0.889366i | \(0.651146\pi\) | |||||||
\(788\) | 92.7572 | + | 83.5190i | 3.30434 | + | 2.97524i | ||||
\(789\) | −17.4759 | − | 19.4089i | −0.622158 | − | 0.690977i | ||||
\(790\) | −63.4791 | + | 26.5492i | −2.25848 | + | 0.944577i | ||||
\(791\) | −35.4356 | + | 31.1608i | −1.25994 | + | 1.10795i | ||||
\(792\) | 11.7021 | + | 16.1066i | 0.415818 | + | 0.572324i | ||||
\(793\) | −30.3386 | − | 17.5160i | −1.07736 | − | 0.622012i | ||||
\(794\) | 74.0785 | + | 32.9819i | 2.62895 | + | 1.17048i | ||||
\(795\) | −30.5470 | − | 44.1215i | −1.08339 | − | 1.56483i | ||||
\(796\) | −45.8214 | + | 20.4010i | −1.62410 | + | 0.723095i | ||||
\(797\) | −2.19057 | + | 3.01507i | −0.0775941 | + | 0.106799i | −0.846050 | − | 0.533104i | \(-0.821025\pi\) |
0.768456 | + | 0.639903i | \(0.221025\pi\) | |||||||
\(798\) | −53.3185 | − | 24.4930i | −1.88745 | − | 0.867044i | ||||
\(799\) | 1.38374 | 0.0489532 | ||||||||
\(800\) | 51.0694 | + | 77.4721i | 1.80558 | + | 2.73905i | ||||
\(801\) | −7.22570 | − | 12.5153i | −0.255308 | − | 0.442206i | ||||
\(802\) | 3.20333 | + | 15.0705i | 0.113114 | + | 0.532158i | ||||
\(803\) | 2.44831 | + | 5.49900i | 0.0863991 | + | 0.194056i | ||||
\(804\) | 107.601 | + | 78.1763i | 3.79478 | + | 2.75707i | ||||
\(805\) | −8.78680 | + | 3.55432i | −0.309694 | + | 0.125273i | ||||
\(806\) | 61.6041 | − | 44.7580i | 2.16991 | − | 1.57653i | ||||
\(807\) | −47.2821 | − | 27.2983i | −1.66441 | − | 0.960947i | ||||
\(808\) | 39.4475 | − | 88.6006i | 1.38776 | − | 3.11696i | ||||
\(809\) | 9.69516 | − | 10.7676i | 0.340864 | − | 0.378568i | −0.548203 | − | 0.836345i | \(-0.684688\pi\) |
0.889067 | + | 0.457778i | \(0.151354\pi\) | |||||||
\(810\) | −51.8267 | − | 24.5024i | −1.82100 | − | 0.860925i | ||||
\(811\) | 2.04488 | − | 6.29348i | 0.0718053 | − | 0.220994i | −0.908713 | − | 0.417421i | \(-0.862934\pi\) |
0.980518 | + | 0.196427i | \(0.0629339\pi\) | |||||||
\(812\) | −14.0841 | + | 41.6751i | −0.494256 | + | 1.46251i | ||||
\(813\) | 15.7056 | − | 5.10305i | 0.550819 | − | 0.178972i | ||||
\(814\) | −11.5301 | − | 12.8054i | −0.404129 | − | 0.448830i | ||||
\(815\) | −4.19027 | + | 2.90109i | −0.146779 | + | 0.101621i | ||||
\(816\) | 23.0485 | − | 25.5979i | 0.806858 | − | 0.896107i | ||||
\(817\) | 20.2490 | − | 2.12825i | 0.708422 | − | 0.0744582i | ||||
\(818\) | 11.5591i | 0.404156i | ||||||||
\(819\) | 26.3096 | − | 14.7807i | 0.919332 | − | 0.516480i | ||||
\(820\) | −28.9736 | − | 17.6187i | −1.01180 | − | 0.615272i | ||||
\(821\) | 32.0848 | − | 14.2851i | 1.11977 | − | 0.498552i | 0.238486 | − | 0.971146i | \(-0.423349\pi\) |
0.881280 | + | 0.472594i | \(0.156682\pi\) | |||||||
\(822\) | 84.8433 | + | 8.91739i | 2.95925 | + | 0.311030i | ||||
\(823\) | −1.77143 | − | 8.33390i | −0.0617480 | − | 0.290501i | 0.936429 | − | 0.350857i | \(-0.114110\pi\) |
−0.998177 | + | 0.0603558i | \(0.980776\pi\) | |||||||
\(824\) | −11.8188 | + | 20.4707i | −0.411726 | + | 0.713130i | ||||
\(825\) | 1.55785 | + | 9.41758i | 0.0542374 | + | 0.327878i | ||||
\(826\) | −21.8422 | − | 50.6506i | −0.759987 | − | 1.76236i | ||||
\(827\) | 37.0782 | + | 12.0474i | 1.28934 | + | 0.418930i | 0.871859 | − | 0.489757i | \(-0.162915\pi\) |
0.417476 | + | 0.908688i | \(0.362915\pi\) | |||||||
\(828\) | −9.75599 | − | 21.9123i | −0.339044 | − | 0.761506i | ||||
\(829\) | 4.12250 | − | 39.2230i | 0.143180 | − | 1.36227i | −0.653067 | − | 0.757300i | \(-0.726518\pi\) |
0.796248 | − | 0.604971i | \(-0.206815\pi\) | |||||||
\(830\) | 4.35865 | + | 6.29554i | 0.151291 | + | 0.218521i | ||||
\(831\) | −1.51830 | − | 14.4457i | −0.0526693 | − | 0.501115i | ||||
\(832\) | 93.6355i | 3.24623i | ||||||||
\(833\) | 2.85767 | + | 6.84676i | 0.0990126 | + | 0.237226i | ||||
\(834\) | 5.29852 | + | 16.3072i | 0.183473 | + | 0.564671i | ||||
\(835\) | 1.80232 | − | 14.0623i | 0.0623718 | − | 0.486645i | ||||
\(836\) | 13.9380 | − | 2.96261i | 0.482055 | − | 0.102464i | ||||
\(837\) | 2.17575 | + | 1.95905i | 0.0752048 | + | 0.0677147i | ||||
\(838\) | 13.6772 | − | 64.3464i | 0.472473 | − | 2.22281i | ||||
\(839\) | 0.439311 | − | 1.35206i | 0.0151667 | − | 0.0466783i | −0.943187 | − | 0.332263i | \(-0.892188\pi\) |
0.958353 | + | 0.285585i | \(0.0921878\pi\) | |||||||
\(840\) | −22.1363 | − | 125.239i | −0.763775 | − | 4.32116i | ||||
\(841\) | −5.91677 | − | 18.2099i | −0.204026 | − | 0.627929i | ||||
\(842\) | 40.4352 | − | 4.24991i | 1.39349 | − | 0.146461i | ||||
\(843\) | 53.2596 | − | 30.7494i | 1.83436 | − | 1.05907i | ||||
\(844\) | 23.1612 | + | 10.3120i | 0.797241 | + | 0.354955i | ||||
\(845\) | −7.28748 | − | 0.934014i | −0.250697 | − | 0.0321311i | ||||
\(846\) | 8.06403 | + | 5.85886i | 0.277247 | + | 0.201432i | ||||
\(847\) | −18.6047 | + | 20.1809i | −0.639264 | + | 0.693425i | ||||
\(848\) | −127.315 | − | 41.3672i | −4.37202 | − | 1.42056i | ||||
\(849\) | −3.96857 | + | 6.87376i | −0.136201 | + | 0.235907i | ||||
\(850\) | 13.3290 | − | 5.22164i | 0.457180 | − | 0.179101i | ||||
\(851\) | 6.46086 | + | 11.1905i | 0.221475 | + | 0.383607i | ||||
\(852\) | 44.2606 | − | 39.8524i | 1.51634 | − | 1.36532i | ||||
\(853\) | 14.1138 | − | 19.4260i | 0.483248 | − | 0.665134i | −0.495877 | − | 0.868393i | \(-0.665153\pi\) |
0.979125 | + | 0.203259i | \(0.0651534\pi\) | |||||||
\(854\) | 59.2261 | − | 18.4778i | 2.02667 | − | 0.632296i | ||||
\(855\) | 16.2973 | − | 14.0161i | 0.557357 | − | 0.479342i | ||||
\(856\) | 1.51898 | + | 14.4521i | 0.0519175 | + | 0.493962i | ||||
\(857\) | −22.3739 | + | 12.9176i | −0.764278 | + | 0.441256i | −0.830830 | − | 0.556527i | \(-0.812134\pi\) |
0.0665513 | + | 0.997783i | \(0.478800\pi\) | |||||||
\(858\) | −8.46485 | + | 19.0124i | −0.288985 | + | 0.649072i | ||||
\(859\) | 44.8033 | + | 9.52323i | 1.52867 | + | 0.324929i | 0.894075 | − | 0.447917i | \(-0.147834\pi\) |
0.634594 | + | 0.772846i | \(0.281167\pi\) | |||||||
\(860\) | 46.2326 | + | 53.7572i | 1.57652 | + | 1.83311i | ||||
\(861\) | 10.5724 | + | 14.9169i | 0.360307 | + | 0.508367i | ||||
\(862\) | 30.5959 | − | 9.94120i | 1.04210 | − | 0.338599i | ||||
\(863\) | −0.134240 | + | 0.631551i | −0.00456959 | + | 0.0214982i | −0.980373 | − | 0.197150i | \(-0.936831\pi\) |
0.975804 | + | 0.218648i | \(0.0701647\pi\) | |||||||
\(864\) | −7.60841 | + | 1.61722i | −0.258843 | + | 0.0550189i | ||||
\(865\) | −49.8340 | − | 1.13403i | −1.69441 | − | 0.0385583i | ||||
\(866\) | 27.3977 | + | 5.82357i | 0.931013 | + | 0.197893i | ||||
\(867\) | 22.5256 | + | 31.0038i | 0.765009 | + | 1.05294i | ||||
\(868\) | −11.3751 | + | 97.2304i | −0.386095 | + | 3.30021i | ||||
\(869\) | −7.28901 | + | 5.29578i | −0.247263 | + | 0.179647i | ||||
\(870\) | −33.3049 | − | 31.3889i | −1.12914 | − | 1.06418i | ||||
\(871\) | −4.38802 | + | 41.7492i | −0.148682 | + | 1.41462i | ||||
\(872\) | 3.58706 | + | 0.377015i | 0.121473 | + | 0.0127673i | ||||
\(873\) | −9.39465 | + | 8.45898i | −0.317961 | + | 0.286293i | ||||
\(874\) | −14.7201 | −0.497914 | ||||||||
\(875\) | 8.44265 | − | 28.3500i | 0.285414 | − | 0.958404i | ||||
\(876\) | 97.3078 | 3.28773 | ||||||||
\(877\) | −2.51135 | + | 2.26123i | −0.0848022 | + | 0.0763563i | −0.710442 | − | 0.703756i | \(-0.751505\pi\) |
0.625639 | + | 0.780112i | \(0.284838\pi\) | |||||||
\(878\) | 65.3933 | + | 6.87312i | 2.20692 | + | 0.231956i | ||||
\(879\) | −0.160673 | + | 1.52870i | −0.00541937 | + | 0.0515619i | ||||
\(880\) | 17.3285 | + | 16.3317i | 0.584145 | + | 0.550540i | ||||
\(881\) | −10.0900 | + | 7.33079i | −0.339940 | + | 0.246981i | −0.744636 | − | 0.667470i | \(-0.767377\pi\) |
0.404697 | + | 0.914451i | \(0.367377\pi\) | |||||||
\(882\) | −12.3360 | + | 52.0005i | −0.415375 | + | 1.75095i | ||||
\(883\) | 15.3825 | + | 21.1722i | 0.517663 | + | 0.712502i | 0.985188 | − | 0.171478i | \(-0.0548542\pi\) |
−0.467525 | + | 0.883980i | \(0.654854\pi\) | |||||||
\(884\) | 22.1613 | + | 4.71052i | 0.745364 | + | 0.158432i | ||||
\(885\) | 41.6458 | + | 0.947698i | 1.39991 | + | 0.0318565i | ||||
\(886\) | −38.7693 | + | 8.24067i | −1.30248 | + | 0.276851i | ||||
\(887\) | −10.1571 | + | 47.7853i | −0.341042 | + | 1.60447i | 0.389111 | + | 0.921191i | \(0.372782\pi\) |
−0.730153 | + | 0.683284i | \(0.760551\pi\) | |||||||
\(888\) | −164.896 | + | 53.5778i | −5.53353 | + | 1.79795i | ||||
\(889\) | 49.7979 | − | 4.64350i | 1.67017 | − | 0.155738i | ||||
\(890\) | −20.1382 | − | 23.4158i | −0.675035 | − | 0.784900i | ||||
\(891\) | −7.34242 | − | 1.56068i | −0.245980 | − | 0.0522847i | ||||
\(892\) | −16.2396 | + | 36.4747i | −0.543742 | + | 1.22126i | ||||
\(893\) | 3.84558 | − | 2.22025i | 0.128687 | − | 0.0742977i | ||||
\(894\) | 0.0945603 | + | 0.899681i | 0.00316257 | + | 0.0300898i | ||||
\(895\) | 27.8560 | − | 23.9569i | 0.931124 | − | 0.800791i | ||||
\(896\) | −49.7226 | − | 45.8389i | −1.66112 | − | 1.53137i | ||||
\(897\) | 9.17327 | − | 12.6259i | 0.306286 | − | 0.421567i | ||||
\(898\) | 30.3573 | − | 27.3338i | 1.01304 | − | 0.912141i | ||||
\(899\) | 10.9630 | + | 18.9885i | 0.365637 | + | 0.633302i | ||||
\(900\) | 72.4362 | + | 18.8780i | 2.41454 | + | 0.629265i | ||||
\(901\) | −5.26900 | + | 9.12617i | −0.175536 | + | 0.304037i | ||||
\(902\) | −5.81735 | − | 1.89017i | −0.193697 | − | 0.0629358i | ||||
\(903\) | −11.3859 | − | 36.4949i | −0.378900 | − | 1.21447i | ||||
\(904\) | −128.506 | − | 93.3653i | −4.27406 | − | 3.10528i | ||||
\(905\) | −31.6459 | − | 4.05596i | −1.05194 | − | 0.134825i | ||||
\(906\) | −76.6708 | − | 34.1360i | −2.54722 | − | 1.13409i | ||||
\(907\) | 48.3420 | − | 27.9103i | 1.60517 | − | 0.926746i | 0.614741 | − | 0.788729i | \(-0.289261\pi\) |
0.990430 | − | 0.138016i | \(-0.0440726\pi\) | |||||||
\(908\) | 49.1618 | − | 5.16711i | 1.63149 | − | 0.171477i | ||||
\(909\) | −9.51105 | − | 29.2720i | −0.315462 | − | 0.970891i | ||||
\(910\) | 49.3870 | − | 41.4753i | 1.63716 | − | 1.37489i | ||||
\(911\) | −5.79002 | + | 17.8198i | −0.191832 | + | 0.590398i | 0.808167 | + | 0.588953i | \(0.200460\pi\) |
−0.999999 | + | 0.00144440i | \(0.999540\pi\) | |||||||
\(912\) | 22.9819 | − | 108.122i | 0.761008 | − | 3.58026i | ||||
\(913\) | 0.745102 | + | 0.670893i | 0.0246593 | + | 0.0222033i | ||||
\(914\) | 59.5726 | − | 12.6626i | 1.97049 | − | 0.418840i | ||||
\(915\) | −5.95640 | + | 46.4737i | −0.196912 | + | 1.53637i | ||||
\(916\) | −33.7970 | − | 104.016i | −1.11668 | − | 3.43680i | ||||
\(917\) | −13.4309 | − | 23.9070i | −0.443529 | − | 0.789479i | ||||
\(918\) | 1.20002i | 0.0396065i | ||||||||
\(919\) | 0.436571 | + | 4.15370i | 0.0144012 | + | 0.137018i | 0.999360 | − | 0.0357712i | \(-0.0113888\pi\) |
−0.984959 | + | 0.172789i | \(0.944722\pi\) | |||||||
\(920\) | −18.1619 | − | 26.2327i | −0.598781 | − | 0.864866i | ||||
\(921\) | 7.79954 | − | 74.2077i | 0.257004 | − | 2.44523i | ||||
\(922\) | 21.9617 | + | 49.3268i | 0.723270 | + | 1.62449i | ||||
\(923\) | 17.8783 | + | 5.80902i | 0.588472 | + | 0.191206i | ||||
\(924\) | −10.5946 | − | 24.5682i | −0.348536 | − | 0.808234i | ||||
\(925\) | −39.8720 | − | 6.03521i | −1.31098 | − | 0.198436i | ||||
\(926\) | 43.5681 | − | 75.4621i | 1.43174 | − | 2.47984i | ||||
\(927\) | 1.55963 | + | 7.33746i | 0.0512248 | + | 0.240994i | ||||
\(928\) | −57.9334 | − | 6.08904i | −1.90176 | − | 0.199883i | ||||
\(929\) | −52.7128 | + | 23.4692i | −1.72945 | + | 0.770001i | −0.733541 | + | 0.679645i | \(0.762134\pi\) |
−0.995910 | + | 0.0903562i | \(0.971199\pi\) | |||||||
\(930\) | −87.0175 | − | 52.9150i | −2.85342 | − | 1.73515i | ||||
\(931\) | 18.9276 | + | 14.4427i | 0.620327 | + | 0.473342i | ||||
\(932\) | − | 38.5795i | − | 1.26371i | ||||||
\(933\) | −41.3169 | + | 4.34258i | −1.35265 | + | 0.142170i | ||||
\(934\) | −77.3725 | + | 85.9309i | −2.53171 | + | 2.81175i | ||||
\(935\) | 1.54114 | − | 1.06699i | 0.0504008 | − | 0.0348945i | ||||
\(936\) | 67.9718 | + | 75.4903i | 2.22173 | + | 2.46748i | ||||
\(937\) | −6.52337 | + | 2.11957i | −0.213109 | + | 0.0692434i | −0.413626 | − | 0.910447i | \(-0.635738\pi\) |
0.200517 | + | 0.979690i | \(0.435738\pi\) | |||||||
\(938\) | −49.0943 | − | 55.8292i | −1.60298 | − | 1.82289i | ||||
\(939\) | −7.19476 | + | 22.1432i | −0.234792 | + | 0.722616i | ||||
\(940\) | 13.9799 | + | 6.60935i | 0.455974 | + | 0.215573i | ||||
\(941\) | 1.00072 | − | 1.11141i | 0.0326226 | − | 0.0362310i | −0.726613 | − | 0.687047i | \(-0.758907\pi\) |
0.759235 | + | 0.650816i | \(0.225573\pi\) | |||||||
\(942\) | −23.4312 | + | 52.6274i | −0.763430 | + | 1.71469i | ||||
\(943\) | 3.97236 | + | 2.29344i | 0.129358 | + | 0.0746848i | ||||
\(944\) | 84.0682 | − | 61.0791i | 2.73619 | − | 1.98796i | ||||
\(945\) | 1.95463 | + | 1.52582i | 0.0635841 | + | 0.0496351i | ||||
\(946\) | 10.3470 | + | 7.51756i | 0.336411 | + | 0.244417i | ||||
\(947\) | 8.52810 | + | 19.1544i | 0.277126 | + | 0.622435i | 0.997463 | − | 0.0711893i | \(-0.0226794\pi\) |
−0.720337 | + | 0.693624i | \(0.756013\pi\) | |||||||
\(948\) | 30.2819 | + | 142.465i | 0.983512 | + | 4.62706i | ||||
\(949\) | 15.3566 | + | 26.5984i | 0.498496 | + | 0.863420i | ||||
\(950\) | 28.6646 | − | 35.8982i | 0.930002 | − | 1.16469i | ||||
\(951\) | 15.8620 | 0.514359 | ||||||||
\(952\) | −20.3757 | + | 14.4413i | −0.660379 | + | 0.468046i | ||||
\(953\) | 32.6062 | − | 44.8786i | 1.05622 | − | 1.45376i | 0.172928 | − | 0.984934i | \(-0.444677\pi\) |
0.883291 | − | 0.468826i | \(-0.155323\pi\) | |||||||
\(954\) | −69.3471 | + | 30.8753i | −2.24519 | + | 0.999625i | ||||
\(955\) | −18.8347 | − | 27.2044i | −0.609476 | − | 0.880313i | ||||
\(956\) | −64.9093 | − | 28.8995i | −2.09932 | − | 0.934677i | ||||
\(957\) | −5.18973 | − | 2.99629i | −0.167760 | − | 0.0968564i | ||||
\(958\) | −32.8711 | − | 45.2432i | −1.06202 | − | 1.46174i | ||||
\(959\) | −32.7943 | − | 11.0829i | −1.05898 | − | 0.357885i | ||||
\(960\) | 115.536 | − | 48.3211i | 3.72890 | − | 1.55956i | ||||
\(961\) | 11.9056 | + | 13.2225i | 0.384050 | + | 0.426531i | ||||
\(962\) | −65.3379 | − | 58.8305i | −2.10658 | − | 1.89677i | ||||
\(963\) | 3.42712 | + | 3.08579i | 0.110437 | + | 0.0994383i | ||||
\(964\) | −75.4733 | − | 83.8216i | −2.43083 | − | 2.69971i | ||||
\(965\) | 21.2518 | + | 5.02513i | 0.684120 | + | 0.161765i | ||||
\(966\) | 5.42865 | + | 27.1006i | 0.174664 | + | 0.871948i | ||||
\(967\) | −11.1443 | − | 15.3389i | −0.358378 | − | 0.493265i | 0.591318 | − | 0.806439i | \(-0.298608\pi\) |
−0.949696 | + | 0.313173i | \(0.898608\pi\) | |||||||
\(968\) | −80.0171 | − | 46.1979i | −2.57185 | − | 1.48486i | ||||
\(969\) | −7.94918 | − | 3.53920i | −0.255364 | − | 0.113696i | ||||
\(970\) | −16.3733 | + | 21.4903i | −0.525716 | + | 0.690011i | ||||
\(971\) | 0.456914 | − | 0.203431i | 0.0146631 | − | 0.00652842i | −0.399392 | − | 0.916780i | \(-0.630779\pi\) |
0.414055 | + | 0.910252i | \(0.364112\pi\) | |||||||
\(972\) | −67.4109 | + | 92.7832i | −2.16221 | + | 2.97602i | ||||
\(973\) | −0.645961 | − | 6.92742i | −0.0207085 | − | 0.222083i | ||||
\(974\) | 84.0288 | 2.69246 | ||||||||
\(975\) | 12.9280 | + | 46.9577i | 0.414026 | + | 1.50385i | ||||
\(976\) | 58.4395 | + | 101.220i | 1.87060 | + | 3.23998i | ||||
\(977\) | −7.95536 | − | 37.4270i | −0.254515 | − | 1.19740i | −0.900777 | − | 0.434282i | \(-0.857002\pi\) |
0.646262 | − | 0.763115i | \(-0.276331\pi\) | |||||||
\(978\) | 6.04468 | + | 13.5766i | 0.193287 | + | 0.434131i | ||||
\(979\) | −3.27170 | − | 2.37703i | −0.104564 | − | 0.0759702i | ||||
\(980\) | −3.83207 | + | 82.8222i | −0.122411 | + | 2.64566i | ||||
\(981\) | 0.926023 | − | 0.672795i | 0.0295656 | − | 0.0214807i | ||||
\(982\) | 93.1607 | + | 53.7864i | 2.97288 | + | 1.71639i | ||||
\(983\) | 3.12772 | − | 7.02498i | 0.0997588 | − | 0.224062i | −0.856771 | − | 0.515698i | \(-0.827533\pi\) |
0.956529 | + | 0.291636i | \(0.0941995\pi\) | |||||||
\(984\) | −41.1824 | + | 45.7377i | −1.31285 | + | 1.45806i | ||||
\(985\) | 51.7748 | − | 9.77958i | 1.64968 | − | 0.311603i | ||||
\(986\) | −2.77712 | + | 8.54711i | −0.0884416 | + | 0.272195i | ||||
\(987\) | −5.50584 | − | 6.26116i | −0.175253 | − | 0.199295i | ||||
\(988\) | 69.1469 | − | 22.4672i | 2.19986 | − | 0.714777i | ||||
\(989\) | −6.41753 | − | 7.12739i | −0.204066 | − | 0.226638i | ||||
\(990\) | 13.4991 | + | 0.307187i | 0.429028 | + | 0.00976305i | ||||
\(991\) | 5.41797 | − | 6.01726i | 0.172107 | − | 0.191145i | −0.650920 | − | 0.759146i | \(-0.725617\pi\) |
0.823027 | + | 0.568002i | \(0.192283\pi\) | |||||||
\(992\) | −128.921 | + | 13.5501i | −4.09324 | + | 0.430217i | ||||
\(993\) | 64.4005i | 2.04369i | ||||||||
\(994\) | −29.0250 | + | 16.3062i | −0.920618 | + | 0.517203i | ||||
\(995\) | −4.87229 | + | 20.6054i | −0.154462 | + | 0.653236i | ||||
\(996\) | 14.8070 | − | 6.59249i | 0.469177 | − | 0.208891i | ||||
\(997\) | −43.9642 | − | 4.62082i | −1.39236 | − | 0.146343i | −0.621533 | − | 0.783388i | \(-0.713490\pi\) |
−0.770826 | + | 0.637046i | \(0.780156\pi\) | |||||||
\(998\) | 11.8007 | + | 55.5177i | 0.373543 | + | 1.75738i | ||||
\(999\) | 1.69023 | − | 2.92756i | 0.0534764 | − | 0.0926238i |
(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 | 175.2.t.a.79.1 | yes | 144 | |
5.2 | odd | 4 | 875.2.q.b.226.1 | 288 | |||
5.3 | odd | 4 | 875.2.q.b.226.36 | 288 | |||
5.4 | even | 2 | 875.2.u.a.149.18 | 144 | |||
7.4 | even | 3 | inner | 175.2.t.a.4.1 | ✓ | 144 | |
25.6 | even | 5 | 875.2.u.a.849.18 | 144 | |||
25.8 | odd | 20 | 875.2.q.b.401.1 | 288 | |||
25.17 | odd | 20 | 875.2.q.b.401.36 | 288 | |||
25.19 | even | 10 | inner | 175.2.t.a.44.1 | yes | 144 | |
35.4 | even | 6 | 875.2.u.a.774.18 | 144 | |||
35.18 | odd | 12 | 875.2.q.b.851.1 | 288 | |||
35.32 | odd | 12 | 875.2.q.b.851.36 | 288 | |||
175.67 | odd | 60 | 875.2.q.b.151.1 | 288 | |||
175.81 | even | 15 | 875.2.u.a.599.18 | 144 | |||
175.144 | even | 30 | inner | 175.2.t.a.144.1 | yes | 144 | |
175.158 | odd | 60 | 875.2.q.b.151.36 | 288 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
175.2.t.a.4.1 | ✓ | 144 | 7.4 | even | 3 | inner | |
175.2.t.a.44.1 | yes | 144 | 25.19 | even | 10 | inner | |
175.2.t.a.79.1 | yes | 144 | 1.1 | even | 1 | trivial | |
175.2.t.a.144.1 | yes | 144 | 175.144 | even | 30 | inner | |
875.2.q.b.151.1 | 288 | 175.67 | odd | 60 | |||
875.2.q.b.151.36 | 288 | 175.158 | odd | 60 | |||
875.2.q.b.226.1 | 288 | 5.2 | odd | 4 | |||
875.2.q.b.226.36 | 288 | 5.3 | odd | 4 | |||
875.2.q.b.401.1 | 288 | 25.8 | odd | 20 | |||
875.2.q.b.401.36 | 288 | 25.17 | odd | 20 | |||
875.2.q.b.851.1 | 288 | 35.18 | odd | 12 | |||
875.2.q.b.851.36 | 288 | 35.32 | odd | 12 | |||
875.2.u.a.149.18 | 144 | 5.4 | even | 2 | |||
875.2.u.a.599.18 | 144 | 175.81 | even | 15 | |||
875.2.u.a.774.18 | 144 | 35.4 | even | 6 | |||
875.2.u.a.849.18 | 144 | 25.6 | even | 5 |