Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [175,2,Mod(11,175)]
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([24, 20]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("175.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 175 = 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 175.q (of order \(15\), 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 \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 11.4 | ||
Character | \(\chi\) | \(=\) | 175.11 |
Dual form | 175.2.q.a.16.4 |
$q$-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 \(\left(\mathbb{Z}/175\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{4}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.94331 | − | 0.865215i | −1.37412 | − | 0.611800i | −0.418995 | − | 0.907989i | \(-0.637618\pi\) |
−0.955129 | + | 0.296189i | \(0.904284\pi\) | |||||||
\(3\) | −1.55527 | − | 1.72730i | −0.897935 | − | 0.997258i | −0.999997 | − | 0.00248028i | \(-0.999211\pi\) |
0.102061 | − | 0.994778i | \(-0.467456\pi\) | |||||||
\(4\) | 1.68958 | + | 1.87647i | 0.844788 | + | 0.938233i | ||||
\(5\) | 0.566195 | + | 2.16320i | 0.253210 | + | 0.967411i | ||||
\(6\) | 1.52788 | + | 4.70232i | 0.623753 | + | 1.91971i | ||||
\(7\) | −2.64421 | + | 0.0903750i | −0.999416 | + | 0.0341585i | ||||
\(8\) | −0.345128 | − | 1.06219i | −0.122021 | − | 0.375542i | ||||
\(9\) | −0.251123 | + | 2.38928i | −0.0837077 | + | 0.796425i | ||||
\(10\) | 0.771342 | − | 4.69363i | 0.243920 | − | 1.48426i | ||||
\(11\) | 0.280279 | + | 2.66668i | 0.0845073 | + | 0.804034i | 0.951900 | + | 0.306409i | \(0.0991276\pi\) |
−0.867393 | + | 0.497625i | \(0.834206\pi\) | |||||||
\(12\) | 0.613474 | − | 5.83682i | 0.177095 | − | 1.68494i | ||||
\(13\) | 2.40580 | + | 1.74792i | 0.667249 | + | 0.484785i | 0.869103 | − | 0.494631i | \(-0.164697\pi\) |
−0.201854 | + | 0.979416i | \(0.564697\pi\) | |||||||
\(14\) | 5.21670 | + | 2.11218i | 1.39422 | + | 0.564504i | ||||
\(15\) | 2.85591 | − | 4.34235i | 0.737393 | − | 1.12119i | ||||
\(16\) | 0.279538 | − | 2.65962i | 0.0698844 | − | 0.664906i | ||||
\(17\) | 1.10144 | + | 0.234118i | 0.267139 | + | 0.0567821i | 0.339533 | − | 0.940594i | \(-0.389731\pi\) |
−0.0723948 | + | 0.997376i | \(0.523064\pi\) | |||||||
\(18\) | 2.55525 | − | 4.42582i | 0.602278 | − | 1.04318i | ||||
\(19\) | 2.45951 | − | 2.73157i | 0.564251 | − | 0.626664i | −0.391734 | − | 0.920078i | \(-0.628125\pi\) |
0.955985 | + | 0.293414i | \(0.0947914\pi\) | |||||||
\(20\) | −3.10254 | + | 4.71733i | −0.693748 | + | 1.05483i | ||||
\(21\) | 4.26856 | + | 4.42679i | 0.931476 | + | 0.966004i | ||||
\(22\) | 1.76258 | − | 5.42467i | 0.375784 | − | 1.15654i | ||||
\(23\) | 6.63413 | + | 2.95370i | 1.38331 | + | 0.615890i | 0.957371 | − | 0.288861i | \(-0.0932766\pi\) |
0.425941 | + | 0.904751i | \(0.359943\pi\) | |||||||
\(24\) | −1.29796 | + | 2.24814i | −0.264946 | + | 0.458899i | ||||
\(25\) | −4.35885 | + | 2.44958i | −0.871769 | + | 0.489916i | ||||
\(26\) | −3.16288 | − | 5.47827i | −0.620292 | − | 1.07438i | ||||
\(27\) | −1.12366 | + | 0.816389i | −0.216249 | + | 0.157114i | ||||
\(28\) | −4.63718 | − | 4.80907i | −0.876344 | − | 0.908828i | ||||
\(29\) | −3.16693 | + | 9.74681i | −0.588084 | + | 1.80994i | −0.00156889 | + | 0.999999i | \(0.500499\pi\) |
−0.586515 | + | 0.809938i | \(0.699501\pi\) | |||||||
\(30\) | −9.30697 | + | 5.96753i | −1.69921 | + | 1.08952i | ||||
\(31\) | −5.21023 | − | 1.10747i | −0.935785 | − | 0.198907i | −0.285310 | − | 0.958435i | \(-0.592097\pi\) |
−0.650475 | + | 0.759528i | \(0.725430\pi\) | |||||||
\(32\) | −3.96123 | + | 6.86105i | −0.700253 | + | 1.21287i | ||||
\(33\) | 4.17025 | − | 4.63153i | 0.725947 | − | 0.806246i | ||||
\(34\) | −1.93787 | − | 1.40795i | −0.332342 | − | 0.241461i | ||||
\(35\) | −1.69264 | − | 5.66877i | −0.286108 | − | 0.958198i | ||||
\(36\) | −4.90769 | + | 3.56564i | −0.817948 | + | 0.594274i | ||||
\(37\) | −0.469046 | + | 4.46267i | −0.0771107 | + | 0.733659i | 0.885842 | + | 0.463988i | \(0.153582\pi\) |
−0.962952 | + | 0.269672i | \(0.913085\pi\) | |||||||
\(38\) | −7.14298 | + | 3.18026i | −1.15874 | + | 0.515906i | ||||
\(39\) | −0.722490 | − | 6.87403i | −0.115691 | − | 1.10073i | ||||
\(40\) | 2.10233 | − | 1.34799i | 0.332407 | − | 0.213136i | ||||
\(41\) | 3.05046 | + | 2.21629i | 0.476402 | + | 0.346126i | 0.799931 | − | 0.600092i | \(-0.204869\pi\) |
−0.323529 | + | 0.946218i | \(0.604869\pi\) | |||||||
\(42\) | −4.46499 | − | 12.2958i | −0.688963 | − | 1.89729i | ||||
\(43\) | 8.46953 | 1.29159 | 0.645796 | − | 0.763510i | \(-0.276526\pi\) | ||||
0.645796 | + | 0.763510i | \(0.276526\pi\) | |||||||
\(44\) | −4.53038 | + | 5.03149i | −0.682980 | + | 0.758526i | ||||
\(45\) | −5.31066 | + | 0.809567i | −0.791667 | + | 0.120683i | ||||
\(46\) | −10.3365 | − | 11.4799i | −1.52404 | − | 1.69262i | ||||
\(47\) | −5.07395 | + | 1.07850i | −0.740112 | + | 0.157316i | −0.562514 | − | 0.826788i | \(-0.690166\pi\) |
−0.177598 | + | 0.984103i | \(0.556833\pi\) | |||||||
\(48\) | −5.02873 | + | 3.65359i | −0.725835 | + | 0.527350i | ||||
\(49\) | 6.98366 | − | 0.477940i | 0.997666 | − | 0.0682772i | ||||
\(50\) | 10.5900 | − | 0.988945i | 1.49765 | − | 0.139858i | ||||
\(51\) | −1.30864 | − | 2.26664i | −0.183247 | − | 0.317393i | ||||
\(52\) | 0.784881 | + | 7.46765i | 0.108843 | + | 1.03558i | ||||
\(53\) | 1.59344 | + | 1.76970i | 0.218876 | + | 0.243087i | 0.842576 | − | 0.538577i | \(-0.181038\pi\) |
−0.623700 | + | 0.781664i | \(0.714371\pi\) | |||||||
\(54\) | 2.88997 | − | 0.614283i | 0.393275 | − | 0.0835933i | ||||
\(55\) | −5.60986 | + | 2.11616i | −0.756433 | + | 0.285343i | ||||
\(56\) | 1.00859 | + | 2.77747i | 0.134778 | + | 0.371155i | ||||
\(57\) | −8.54345 | −1.13161 | ||||||||
\(58\) | 14.5874 | − | 16.2009i | 1.91542 | − | 2.12729i | ||||
\(59\) | −0.689617 | + | 0.307037i | −0.0897805 | + | 0.0399729i | −0.451136 | − | 0.892455i | \(-0.648981\pi\) |
0.361355 | + | 0.932428i | \(0.382314\pi\) | |||||||
\(60\) | 12.9735 | − | 1.97771i | 1.67488 | − | 0.255321i | ||||
\(61\) | 0.437187 | + | 0.194648i | 0.0559760 | + | 0.0249221i | 0.434534 | − | 0.900656i | \(-0.356913\pi\) |
−0.378558 | + | 0.925578i | \(0.623580\pi\) | |||||||
\(62\) | 9.16687 | + | 6.66012i | 1.16419 | + | 0.845836i | ||||
\(63\) | 0.448091 | − | 6.34044i | 0.0564541 | − | 0.798820i | ||||
\(64\) | 9.30711 | − | 6.76201i | 1.16339 | − | 0.845251i | ||||
\(65\) | −2.41894 | + | 6.19389i | −0.300032 | + | 0.768257i | ||||
\(66\) | −12.1113 | + | 5.39232i | −1.49080 | + | 0.663748i | ||||
\(67\) | −3.35707 | − | 0.713567i | −0.410131 | − | 0.0871761i | −0.00177427 | − | 0.999998i | \(-0.500565\pi\) |
−0.408357 | + | 0.912822i | \(0.633898\pi\) | |||||||
\(68\) | 1.42165 | + | 2.46238i | 0.172401 | + | 0.298607i | ||||
\(69\) | −5.21592 | − | 16.0530i | −0.627923 | − | 1.93255i | ||||
\(70\) | −1.61540 | + | 12.4807i | −0.193077 | + | 1.49172i | ||||
\(71\) | −3.56107 | + | 10.9599i | −0.422622 | + | 1.30070i | 0.482631 | + | 0.875824i | \(0.339681\pi\) |
−0.905253 | + | 0.424873i | \(0.860319\pi\) | |||||||
\(72\) | 2.62454 | − | 0.557864i | 0.309306 | − | 0.0657449i | ||||
\(73\) | 1.01653 | + | 9.67164i | 0.118976 | + | 1.13198i | 0.877247 | + | 0.480040i | \(0.159378\pi\) |
−0.758271 | + | 0.651940i | \(0.773955\pi\) | |||||||
\(74\) | 4.77267 | − | 8.26651i | 0.554812 | − | 0.960963i | ||||
\(75\) | 11.0104 | + | 3.71928i | 1.27137 | + | 0.429466i | ||||
\(76\) | 9.28123 | 1.06463 | ||||||||
\(77\) | −0.982117 | − | 7.02592i | −0.111923 | − | 0.800678i | ||||
\(78\) | −4.54350 | + | 13.9834i | −0.514450 | + | 1.58331i | ||||
\(79\) | −4.14679 | + | 0.881428i | −0.466550 | + | 0.0991684i | −0.435188 | − | 0.900340i | \(-0.643318\pi\) |
−0.0313627 | + | 0.999508i | \(0.509985\pi\) | |||||||
\(80\) | 5.91157 | − | 0.901170i | 0.660933 | − | 0.100754i | ||||
\(81\) | 10.2076 | + | 2.16968i | 1.13417 | + | 0.241076i | ||||
\(82\) | −4.01041 | − | 6.94623i | −0.442875 | − | 0.767083i | ||||
\(83\) | −4.30236 | − | 13.2413i | −0.472246 | − | 1.45342i | −0.849637 | − | 0.527369i | \(-0.823179\pi\) |
0.377391 | − | 0.926054i | \(-0.376821\pi\) | |||||||
\(84\) | −1.09465 | + | 15.4892i | −0.119436 | + | 1.69001i | ||||
\(85\) | 0.117185 | + | 2.51519i | 0.0127106 | + | 0.272811i | ||||
\(86\) | −16.4589 | − | 7.32797i | −1.77481 | − | 0.790195i | ||||
\(87\) | 21.7611 | − | 9.68867i | 2.33304 | − | 1.03873i | ||||
\(88\) | 2.73580 | − | 1.21806i | 0.291637 | − | 0.129845i | ||||
\(89\) | −7.43650 | − | 3.31094i | −0.788267 | − | 0.350959i | −0.0271983 | − | 0.999630i | \(-0.508659\pi\) |
−0.761069 | + | 0.648671i | \(0.775325\pi\) | |||||||
\(90\) | 11.0207 | + | 3.02163i | 1.16168 | + | 0.318508i | ||||
\(91\) | −6.51941 | − | 4.40443i | −0.683420 | − | 0.461710i | ||||
\(92\) | 5.66635 | + | 17.4392i | 0.590758 | + | 1.81816i | ||||
\(93\) | 6.19038 | + | 10.7221i | 0.641913 | + | 1.11183i | ||||
\(94\) | 10.7934 | + | 2.29420i | 1.11325 | + | 0.236629i | ||||
\(95\) | 7.30148 | + | 3.77381i | 0.749116 | + | 0.387185i | ||||
\(96\) | 18.0119 | − | 3.82855i | 1.83833 | − | 0.390749i | ||||
\(97\) | 0.823427 | − | 2.53425i | 0.0836063 | − | 0.257314i | −0.900511 | − | 0.434833i | \(-0.856807\pi\) |
0.984117 | + | 0.177520i | \(0.0568073\pi\) | |||||||
\(98\) | −13.9849 | − | 5.11359i | −1.41269 | − | 0.516551i | ||||
\(99\) | −6.44182 | −0.647427 | ||||||||
\(100\) | −11.9612 | − | 4.04047i | −1.19612 | − | 0.404047i | ||||
\(101\) | 8.22057 | − | 14.2384i | 0.817977 | − | 1.41678i | −0.0891934 | − | 0.996014i | \(-0.528429\pi\) |
0.907170 | − | 0.420763i | \(-0.138238\pi\) | |||||||
\(102\) | 0.581965 | + | 5.53703i | 0.0576232 | + | 0.548248i | ||||
\(103\) | −10.1326 | + | 2.15376i | −0.998397 | + | 0.212216i | −0.677996 | − | 0.735066i | \(-0.737151\pi\) |
−0.320401 | + | 0.947282i | \(0.603818\pi\) | |||||||
\(104\) | 1.02632 | − | 3.15868i | 0.100639 | − | 0.309734i | ||||
\(105\) | −7.15918 | + | 11.7402i | −0.698664 | + | 1.14572i | ||||
\(106\) | −1.56538 | − | 4.81773i | −0.152043 | − | 0.467940i | ||||
\(107\) | −0.211076 | − | 0.365594i | −0.0204055 | − | 0.0353433i | 0.855642 | − | 0.517568i | \(-0.173162\pi\) |
−0.876048 | + | 0.482224i | \(0.839829\pi\) | |||||||
\(108\) | −3.43044 | − | 0.729163i | −0.330094 | − | 0.0701637i | ||||
\(109\) | 0.0917778 | − | 0.0408621i | 0.00879072 | − | 0.00391388i | −0.402337 | − | 0.915492i | \(-0.631802\pi\) |
0.411127 | + | 0.911578i | \(0.365135\pi\) | |||||||
\(110\) | 12.7326 | + | 0.741394i | 1.21401 | + | 0.0706891i | ||||
\(111\) | 8.43788 | − | 6.13048i | 0.800888 | − | 0.581879i | ||||
\(112\) | −0.498792 | + | 7.05786i | −0.0471314 | + | 0.666905i | ||||
\(113\) | −6.95226 | − | 5.05111i | −0.654013 | − | 0.475169i | 0.210623 | − | 0.977567i | \(-0.432451\pi\) |
−0.864636 | + | 0.502399i | \(0.832451\pi\) | |||||||
\(114\) | 16.6025 | + | 7.39192i | 1.55497 | + | 0.692317i | ||||
\(115\) | −2.63324 | + | 16.0233i | −0.245551 | + | 1.49418i | ||||
\(116\) | −23.6403 | + | 10.5253i | −2.19495 | + | 0.977254i | ||||
\(117\) | −4.78041 | + | 5.30918i | −0.441949 | + | 0.490834i | ||||
\(118\) | 1.60579 | 0.147825 | ||||||||
\(119\) | −2.93360 | − | 0.519515i | −0.268922 | − | 0.0476239i | ||||
\(120\) | −5.59807 | − | 1.53487i | −0.511031 | − | 0.140114i | ||||
\(121\) | 3.72701 | − | 0.792200i | 0.338819 | − | 0.0720182i | ||||
\(122\) | −0.681175 | − | 0.756521i | −0.0616707 | − | 0.0684922i | ||||
\(123\) | −0.916087 | − | 8.71599i | −0.0826008 | − | 0.785894i | ||||
\(124\) | −6.72496 | − | 11.6480i | −0.603919 | − | 1.04602i | ||||
\(125\) | −7.76689 | − | 8.04211i | −0.694691 | − | 0.719308i | ||||
\(126\) | −6.35662 | + | 11.9337i | −0.566293 | + | 1.06314i | ||||
\(127\) | 13.2789 | − | 9.64769i | 1.17831 | − | 0.856094i | 0.186332 | − | 0.982487i | \(-0.440340\pi\) |
0.991980 | + | 0.126392i | \(0.0403399\pi\) | |||||||
\(128\) | −8.43846 | + | 1.79365i | −0.745862 | + | 0.158538i | ||||
\(129\) | −13.1724 | − | 14.6294i | −1.15977 | − | 1.28805i | ||||
\(130\) | 10.0598 | − | 9.94371i | 0.882301 | − | 0.872121i | ||||
\(131\) | 13.8307 | − | 15.3606i | 1.20839 | − | 1.34206i | 0.284847 | − | 0.958573i | \(-0.408057\pi\) |
0.923547 | − | 0.383485i | \(-0.125276\pi\) | |||||||
\(132\) | 15.7369 | 1.36972 | ||||||||
\(133\) | −6.25660 | + | 7.44511i | −0.542516 | + | 0.645573i | ||||
\(134\) | 5.90642 | + | 4.29126i | 0.510237 | + | 0.370709i | ||||
\(135\) | −2.40222 | − | 1.96847i | −0.206750 | − | 0.169419i | ||||
\(136\) | −0.131459 | − | 1.25074i | −0.0112725 | − | 0.107250i | ||||
\(137\) | −6.19672 | + | 2.75896i | −0.529421 | + | 0.235714i | −0.653998 | − | 0.756496i | \(-0.726909\pi\) |
0.124576 | + | 0.992210i | \(0.460243\pi\) | |||||||
\(138\) | −3.75313 | + | 35.7087i | −0.319488 | + | 3.03973i | ||||
\(139\) | −5.48003 | + | 3.98148i | −0.464810 | + | 0.337704i | −0.795415 | − | 0.606065i | \(-0.792747\pi\) |
0.330605 | + | 0.943769i | \(0.392747\pi\) | |||||||
\(140\) | 7.77742 | − | 12.7540i | 0.657312 | − | 1.07791i | ||||
\(141\) | 9.75426 | + | 7.08689i | 0.821457 | + | 0.596824i | ||||
\(142\) | 16.4029 | − | 18.2173i | 1.37650 | − | 1.52876i | ||||
\(143\) | −3.98684 | + | 6.90540i | −0.333396 | + | 0.577459i | ||||
\(144\) | 6.28438 | + | 1.33579i | 0.523698 | + | 0.111315i | ||||
\(145\) | −22.8774 | − | 1.33210i | −1.89986 | − | 0.110625i | ||||
\(146\) | 6.39262 | − | 19.6745i | 0.529057 | − | 1.62827i | ||||
\(147\) | −11.6870 | − | 11.3196i | −0.963930 | − | 0.933623i | ||||
\(148\) | −9.16654 | + | 6.65988i | −0.753485 | + | 0.547439i | ||||
\(149\) | 4.16733 | + | 7.21802i | 0.341401 | + | 0.591324i | 0.984693 | − | 0.174297i | \(-0.0557653\pi\) |
−0.643292 | + | 0.765621i | \(0.722432\pi\) | |||||||
\(150\) | −18.1785 | − | 16.7540i | −1.48427 | − | 1.36796i | ||||
\(151\) | −11.3516 | + | 19.6616i | −0.923781 | + | 1.60003i | −0.130270 | + | 0.991479i | \(0.541584\pi\) |
−0.793511 | + | 0.608556i | \(0.791749\pi\) | |||||||
\(152\) | −3.75030 | − | 1.66974i | −0.304189 | − | 0.135434i | ||||
\(153\) | −0.835971 | + | 2.57285i | −0.0675842 | + | 0.208003i | ||||
\(154\) | −4.17038 | + | 14.5032i | −0.336059 | + | 1.16871i | ||||
\(155\) | −0.554332 | − | 11.8978i | −0.0445250 | − | 0.955654i | ||||
\(156\) | 11.6782 | − | 12.9699i | 0.935003 | − | 1.03843i | ||||
\(157\) | 5.76700 | − | 9.98874i | 0.460257 | − | 0.797188i | −0.538717 | − | 0.842487i | \(-0.681091\pi\) |
0.998973 | + | 0.0452987i | \(0.0144240\pi\) | |||||||
\(158\) | 8.82111 | + | 1.87498i | 0.701769 | + | 0.149166i | ||||
\(159\) | 0.578569 | − | 5.50471i | 0.0458835 | − | 0.436552i | ||||
\(160\) | −17.0846 | − | 4.68423i | −1.35066 | − | 0.370321i | ||||
\(161\) | −17.8090 | − | 7.21065i | −1.40354 | − | 0.568279i | ||||
\(162\) | −17.9592 | − | 13.0481i | −1.41101 | − | 1.02516i | ||||
\(163\) | −0.986090 | + | 9.38202i | −0.0772365 | + | 0.734856i | 0.885541 | + | 0.464561i | \(0.153788\pi\) |
−0.962778 | + | 0.270295i | \(0.912879\pi\) | |||||||
\(164\) | 0.995197 | + | 9.46867i | 0.0777118 | + | 0.739379i | ||||
\(165\) | 12.3801 | + | 6.39872i | 0.963789 | + | 0.498140i | ||||
\(166\) | −3.09578 | + | 29.4544i | −0.240279 | + | 2.28610i | ||||
\(167\) | 5.04231 | + | 15.5186i | 0.390186 | + | 1.20087i | 0.932648 | + | 0.360788i | \(0.117492\pi\) |
−0.542462 | + | 0.840080i | \(0.682508\pi\) | |||||||
\(168\) | 3.22891 | − | 6.06185i | 0.249116 | − | 0.467682i | ||||
\(169\) | −1.28455 | − | 3.95345i | −0.0988118 | − | 0.304111i | ||||
\(170\) | 1.94845 | − | 4.98917i | 0.149440 | − | 0.382652i | ||||
\(171\) | 5.90883 | + | 6.56242i | 0.451859 | + | 0.501841i | ||||
\(172\) | 14.3099 | + | 15.8928i | 1.09112 | + | 1.21181i | ||||
\(173\) | −13.3963 | − | 5.96440i | −1.01850 | − | 0.453465i | −0.171570 | − | 0.985172i | \(-0.554884\pi\) |
−0.846928 | + | 0.531707i | \(0.821551\pi\) | |||||||
\(174\) | −50.6713 | −3.84138 | ||||||||
\(175\) | 11.3043 | − | 6.87113i | 0.854526 | − | 0.519409i | ||||
\(176\) | 7.17071 | 0.540513 | ||||||||
\(177\) | 1.60289 | + | 0.713651i | 0.120480 | + | 0.0536413i | ||||
\(178\) | 11.5867 | + | 12.8683i | 0.868461 | + | 0.964523i | ||||
\(179\) | 8.87541 | + | 9.85714i | 0.663379 | + | 0.736757i | 0.977105 | − | 0.212756i | \(-0.0682440\pi\) |
−0.313726 | + | 0.949514i | \(0.601577\pi\) | |||||||
\(180\) | −10.4919 | − | 8.59745i | −0.782020 | − | 0.640816i | ||||
\(181\) | 3.73433 | + | 11.4931i | 0.277571 | + | 0.854275i | 0.988528 | + | 0.151039i | \(0.0482620\pi\) |
−0.710957 | + | 0.703235i | \(0.751738\pi\) | |||||||
\(182\) | 8.85842 | + | 14.1998i | 0.656630 | + | 1.05256i | ||||
\(183\) | −0.343727 | − | 1.05788i | −0.0254091 | − | 0.0782010i | ||||
\(184\) | 0.847785 | − | 8.06614i | 0.0624996 | − | 0.594644i | ||||
\(185\) | −9.91922 | + | 1.51210i | −0.729275 | + | 0.111172i | ||||
\(186\) | −2.75292 | − | 26.1922i | −0.201854 | − | 1.92051i | ||||
\(187\) | −0.315608 | + | 3.00281i | −0.0230795 | + | 0.219587i | ||||
\(188\) | −10.5966 | − | 7.69888i | −0.772837 | − | 0.561499i | ||||
\(189\) | 2.89742 | − | 2.26025i | 0.210756 | − | 0.164409i | ||||
\(190\) | −10.9238 | − | 13.6510i | −0.792499 | − | 0.990350i | ||||
\(191\) | −1.02222 | + | 9.72575i | −0.0739651 | + | 0.703730i | 0.893214 | + | 0.449633i | \(0.148445\pi\) |
−0.967179 | + | 0.254098i | \(0.918222\pi\) | |||||||
\(192\) | −26.1551 | − | 5.55944i | −1.88758 | − | 0.401218i | ||||
\(193\) | 8.19428 | − | 14.1929i | 0.589837 | − | 1.02163i | −0.404416 | − | 0.914575i | \(-0.632525\pi\) |
0.994253 | − | 0.107053i | \(-0.0341415\pi\) | |||||||
\(194\) | −3.79284 | + | 4.21237i | −0.272310 | + | 0.302431i | ||||
\(195\) | 14.4608 | − | 5.45493i | 1.03556 | − | 0.390636i | ||||
\(196\) | 12.6963 | + | 12.2971i | 0.906877 | + | 0.878363i | ||||
\(197\) | 2.18687 | − | 6.73048i | 0.155808 | − | 0.479527i | −0.842434 | − | 0.538799i | \(-0.818878\pi\) |
0.998242 | + | 0.0592724i | \(0.0188780\pi\) | |||||||
\(198\) | 12.5184 | + | 5.57356i | 0.889645 | + | 0.396095i | ||||
\(199\) | 3.64345 | − | 6.31065i | 0.258278 | − | 0.447350i | −0.707503 | − | 0.706710i | \(-0.750178\pi\) |
0.965781 | + | 0.259360i | \(0.0835118\pi\) | |||||||
\(200\) | 4.10629 | + | 3.78452i | 0.290359 | + | 0.267606i | ||||
\(201\) | 3.98860 | + | 6.90846i | 0.281334 | + | 0.487285i | ||||
\(202\) | −28.2944 | + | 20.5571i | −1.99079 | + | 1.44639i | ||||
\(203\) | 7.49315 | − | 26.0588i | 0.525916 | − | 1.82897i | ||||
\(204\) | 2.04221 | − | 6.28529i | 0.142984 | − | 0.440058i | ||||
\(205\) | −3.06712 | + | 7.85360i | −0.214217 | + | 0.548519i | ||||
\(206\) | 21.5542 | + | 4.58150i | 1.50176 | + | 0.319208i | ||||
\(207\) | −8.72320 | + | 15.1090i | −0.606304 | + | 1.05015i | ||||
\(208\) | 5.32132 | − | 5.90992i | 0.368967 | − | 0.409779i | ||||
\(209\) | 7.97356 | + | 5.79313i | 0.551543 | + | 0.400719i | ||||
\(210\) | 24.0702 | − | 16.6205i | 1.66100 | − | 1.14692i | ||||
\(211\) | 17.5042 | − | 12.7175i | 1.20504 | − | 0.875512i | 0.210268 | − | 0.977644i | \(-0.432566\pi\) |
0.994771 | + | 0.102132i | \(0.0325664\pi\) | |||||||
\(212\) | −0.628532 | + | 5.98008i | −0.0431677 | + | 0.410713i | ||||
\(213\) | 24.4694 | − | 10.8945i | 1.67662 | − | 0.746478i | ||||
\(214\) | 0.0938671 | + | 0.893086i | 0.00641663 | + | 0.0610501i | ||||
\(215\) | 4.79540 | + | 18.3213i | 0.327044 | + | 1.24950i | ||||
\(216\) | 1.25497 | + | 0.911790i | 0.0853899 | + | 0.0620394i | ||||
\(217\) | 13.8770 | + | 2.45750i | 0.942033 | + | 0.166826i | ||||
\(218\) | −0.213707 | −0.0144740 | ||||||||
\(219\) | 15.1249 | − | 16.7979i | 1.02204 | − | 1.13509i | ||||
\(220\) | −13.4492 | − | 6.95129i | −0.906744 | − | 0.468656i | ||||
\(221\) | 2.24063 | + | 2.48847i | 0.150721 | + | 0.167393i | ||||
\(222\) | −21.7016 | + | 4.61281i | −1.45651 | + | 0.309591i | ||||
\(223\) | 5.99432 | − | 4.35513i | 0.401409 | − | 0.291641i | −0.368705 | − | 0.929546i | \(-0.620199\pi\) |
0.770115 | + | 0.637905i | \(0.220199\pi\) | |||||||
\(224\) | 9.85425 | − | 18.5000i | 0.658415 | − | 1.23609i | ||||
\(225\) | −4.75812 | − | 11.0296i | −0.317208 | − | 0.735309i | ||||
\(226\) | 9.14006 | + | 15.8310i | 0.607988 | + | 1.05307i | ||||
\(227\) | 1.64754 | + | 15.6753i | 0.109351 | + | 1.04041i | 0.902297 | + | 0.431116i | \(0.141880\pi\) |
−0.792945 | + | 0.609293i | \(0.791453\pi\) | |||||||
\(228\) | −14.4348 | − | 16.0315i | −0.955969 | − | 1.06171i | ||||
\(229\) | 8.42633 | − | 1.79107i | 0.556827 | − | 0.118357i | 0.0791020 | − | 0.996867i | \(-0.474795\pi\) |
0.477725 | + | 0.878509i | \(0.341461\pi\) | |||||||
\(230\) | 18.9808 | − | 28.8599i | 1.25156 | − | 1.90296i | ||||
\(231\) | −10.6084 | + | 12.6236i | −0.697983 | + | 0.830573i | ||||
\(232\) | 11.4460 | 0.751467 | ||||||||
\(233\) | −0.910869 | + | 1.01162i | −0.0596730 | + | 0.0662736i | −0.772242 | − | 0.635328i | \(-0.780865\pi\) |
0.712569 | + | 0.701602i | \(0.247531\pi\) | |||||||
\(234\) | 13.8834 | − | 6.18128i | 0.907585 | − | 0.404083i | ||||
\(235\) | −5.20586 | − | 10.3653i | −0.339593 | − | 0.676159i | ||||
\(236\) | −1.74131 | − | 0.775279i | −0.113349 | − | 0.0504664i | ||||
\(237\) | 7.97187 | + | 5.79190i | 0.517829 | + | 0.376225i | ||||
\(238\) | 5.25138 | + | 3.54777i | 0.340396 | + | 0.229968i | ||||
\(239\) | −15.7418 | + | 11.4371i | −1.01826 | + | 0.739806i | −0.965924 | − | 0.258824i | \(-0.916665\pi\) |
−0.0523308 | + | 0.998630i | \(0.516665\pi\) | |||||||
\(240\) | −10.7507 | − | 8.80950i | −0.693953 | − | 0.568651i | ||||
\(241\) | 11.9368 | − | 5.31462i | 0.768919 | − | 0.342345i | 0.0154950 | − | 0.999880i | \(-0.495068\pi\) |
0.753424 | + | 0.657535i | \(0.228401\pi\) | |||||||
\(242\) | −7.92814 | − | 1.68518i | −0.509640 | − | 0.108327i | ||||
\(243\) | −10.0444 | − | 17.3975i | −0.644350 | − | 1.11605i | ||||
\(244\) | 0.373410 | + | 1.14924i | 0.0239051 | + | 0.0735725i | ||||
\(245\) | 4.98799 | + | 14.8364i | 0.318671 | + | 0.947865i | ||||
\(246\) | −5.76097 | + | 17.7304i | −0.367306 | + | 1.13045i | ||||
\(247\) | 10.6917 | − | 2.27258i | 0.680294 | − | 0.144601i | ||||
\(248\) | 0.621849 | + | 5.91649i | 0.0394874 | + | 0.375698i | ||||
\(249\) | −16.1804 | + | 28.0253i | −1.02539 | + | 1.77603i | ||||
\(250\) | 8.13528 | + | 22.3483i | 0.514520 | + | 1.41343i | ||||
\(251\) | −21.9011 | −1.38238 | −0.691192 | − | 0.722671i | \(-0.742914\pi\) | ||||
−0.691192 | + | 0.722671i | \(0.742914\pi\) | |||||||
\(252\) | 12.6547 | − | 9.87183i | 0.797171 | − | 0.621867i | ||||
\(253\) | −6.01717 | + | 18.5189i | −0.378296 | + | 1.16428i | ||||
\(254\) | −34.1523 | + | 7.25930i | −2.14291 | + | 0.455489i | ||||
\(255\) | 4.16224 | − | 4.11422i | 0.260650 | − | 0.257642i | ||||
\(256\) | −4.55524 | − | 0.968246i | −0.284702 | − | 0.0605153i | ||||
\(257\) | 4.03619 | + | 6.99088i | 0.251770 | + | 0.436079i | 0.964013 | − | 0.265854i | \(-0.0856539\pi\) |
−0.712243 | + | 0.701933i | \(0.752321\pi\) | |||||||
\(258\) | 12.9404 | + | 39.8264i | 0.805634 | + | 2.47949i | ||||
\(259\) | 0.836941 | − | 11.8426i | 0.0520050 | − | 0.735865i | ||||
\(260\) | −15.7096 | + | 5.92599i | −0.974268 | + | 0.367515i | ||||
\(261\) | −22.4925 | − | 10.0143i | −1.39225 | − | 0.619871i | ||||
\(262\) | −40.1675 | + | 17.8837i | −2.48155 | + | 1.10486i | ||||
\(263\) | 4.88052 | − | 2.17295i | 0.300946 | − | 0.133990i | −0.250708 | − | 0.968063i | \(-0.580664\pi\) |
0.551654 | + | 0.834073i | \(0.313997\pi\) | |||||||
\(264\) | −6.35885 | − | 2.83114i | −0.391360 | − | 0.174245i | ||||
\(265\) | −2.92601 | + | 4.44892i | −0.179743 | + | 0.273295i | ||||
\(266\) | 18.6001 | − | 9.05481i | 1.14045 | − | 0.555186i | ||||
\(267\) | 5.84676 | + | 17.9945i | 0.357816 | + | 1.10124i | ||||
\(268\) | −4.33304 | − | 7.50505i | −0.264683 | − | 0.458444i | ||||
\(269\) | −11.9547 | − | 2.54106i | −0.728893 | − | 0.154931i | −0.171505 | − | 0.985183i | \(-0.554863\pi\) |
−0.557388 | + | 0.830252i | \(0.688196\pi\) | |||||||
\(270\) | 2.96510 | + | 5.90378i | 0.180450 | + | 0.359292i | ||||
\(271\) | 3.12620 | − | 0.664493i | 0.189903 | − | 0.0403651i | −0.111978 | − | 0.993711i | \(-0.535719\pi\) |
0.301881 | + | 0.953346i | \(0.402385\pi\) | |||||||
\(272\) | 0.930561 | − | 2.86397i | 0.0564236 | − | 0.173654i | ||||
\(273\) | 2.53165 | + | 18.1111i | 0.153223 | + | 1.09613i | ||||
\(274\) | 14.4292 | 0.871700 | ||||||||
\(275\) | −7.75394 | − | 10.9371i | −0.467580 | − | 0.659530i | ||||
\(276\) | 21.3101 | − | 36.9102i | 1.28272 | − | 2.22173i | ||||
\(277\) | −0.546036 | − | 5.19519i | −0.0328082 | − | 0.312149i | −0.998603 | − | 0.0528411i | \(-0.983172\pi\) |
0.965795 | − | 0.259308i | \(-0.0834943\pi\) | |||||||
\(278\) | 14.0942 | − | 2.99582i | 0.845314 | − | 0.179677i | ||||
\(279\) | 3.95446 | − | 12.1706i | 0.236747 | − | 0.728633i | ||||
\(280\) | −5.43716 | + | 3.75436i | −0.324933 | + | 0.224366i | ||||
\(281\) | −6.54737 | − | 20.1507i | −0.390583 | − | 1.20209i | −0.932348 | − | 0.361561i | \(-0.882244\pi\) |
0.541765 | − | 0.840530i | \(-0.317756\pi\) | |||||||
\(282\) | −12.8238 | − | 22.2115i | −0.763648 | − | 1.32268i | ||||
\(283\) | 6.02805 | + | 1.28130i | 0.358330 | + | 0.0761655i | 0.383559 | − | 0.923516i | \(-0.374698\pi\) |
−0.0252290 | + | 0.999682i | \(0.508031\pi\) | |||||||
\(284\) | −26.5825 | + | 11.8353i | −1.57738 | + | 0.702296i | ||||
\(285\) | −4.83726 | − | 18.4812i | −0.286534 | − | 1.09473i | ||||
\(286\) | 13.7223 | − | 9.96984i | 0.811417 | − | 0.589529i | ||||
\(287\) | −8.26634 | − | 5.58464i | −0.487947 | − | 0.329651i | ||||
\(288\) | −15.3982 | − | 11.1874i | −0.907348 | − | 0.659227i | ||||
\(289\) | −14.3719 | − | 6.39879i | −0.845407 | − | 0.376399i | ||||
\(290\) | 43.3052 | + | 22.3825i | 2.54297 | + | 1.31435i | ||||
\(291\) | −5.65806 | + | 2.51913i | −0.331681 | + | 0.147674i | ||||
\(292\) | −16.4310 | + | 18.2485i | −0.961551 | + | 1.06791i | ||||
\(293\) | 24.5603 | 1.43483 | 0.717413 | − | 0.696648i | \(-0.245326\pi\) | ||||
0.717413 | + | 0.696648i | \(0.245326\pi\) | |||||||
\(294\) | 12.9176 | + | 32.1092i | 0.753370 | + | 1.87265i | ||||
\(295\) | −1.05464 | − | 1.31794i | −0.0614035 | − | 0.0767332i | ||||
\(296\) | 4.90211 | − | 1.04197i | 0.284929 | − | 0.0605636i | ||||
\(297\) | −2.49199 | − | 2.76763i | −0.144600 | − | 0.160594i | ||||
\(298\) | −1.85325 | − | 17.6325i | −0.107356 | − | 1.02142i | ||||
\(299\) | 10.7976 | + | 18.7019i | 0.624440 | + | 1.08156i | ||||
\(300\) | 11.6237 | + | 26.9446i | 0.671096 | + | 1.55564i | ||||
\(301\) | −22.3952 | + | 0.765434i | −1.29084 | + | 0.0441189i | ||||
\(302\) | 39.0711 | − | 28.3868i | 2.24829 | − | 1.63348i | ||||
\(303\) | −37.3793 | + | 7.94521i | −2.14738 | + | 0.456441i | ||||
\(304\) | −6.57741 | − | 7.30496i | −0.377241 | − | 0.418968i | ||||
\(305\) | −0.173529 | + | 1.05593i | −0.00993627 | + | 0.0604624i | ||||
\(306\) | 3.85062 | − | 4.27655i | 0.220125 | − | 0.244474i | ||||
\(307\) | 8.71345 | 0.497303 | 0.248651 | − | 0.968593i | \(-0.420013\pi\) | ||||
0.248651 | + | 0.968593i | \(0.420013\pi\) | |||||||
\(308\) | 11.5245 | − | 13.7137i | 0.656671 | − | 0.781413i | ||||
\(309\) | 19.4791 | + | 14.1524i | 1.10813 | + | 0.805104i | ||||
\(310\) | −9.21692 | + | 23.6007i | −0.523486 | + | 1.34043i | ||||
\(311\) | 2.41588 | + | 22.9856i | 0.136992 | + | 1.30339i | 0.819739 | + | 0.572737i | \(0.194118\pi\) |
−0.682747 | + | 0.730654i | \(0.739215\pi\) | |||||||
\(312\) | −7.05220 | + | 3.13984i | −0.399252 | + | 0.177759i | ||||
\(313\) | −0.781509 | + | 7.43556i | −0.0441735 | + | 0.420283i | 0.949980 | + | 0.312310i | \(0.101103\pi\) |
−0.994154 | + | 0.107973i | \(0.965564\pi\) | |||||||
\(314\) | −19.8495 | + | 14.4215i | −1.12017 | + | 0.813851i | ||||
\(315\) | 13.9693 | − | 2.62061i | 0.787082 | − | 0.147655i | ||||
\(316\) | −8.66029 | − | 6.29207i | −0.487179 | − | 0.353957i | ||||
\(317\) | 19.2653 | − | 21.3963i | 1.08205 | − | 1.20174i | 0.103735 | − | 0.994605i | \(-0.466921\pi\) |
0.978313 | − | 0.207131i | \(-0.0664128\pi\) | |||||||
\(318\) | −5.88710 | + | 10.1968i | −0.330132 | + | 0.571805i | ||||
\(319\) | −26.8792 | − | 5.71336i | −1.50495 | − | 0.319887i | ||||
\(320\) | 19.8972 | + | 16.3045i | 1.11229 | + | 0.911449i | ||||
\(321\) | −0.303211 | + | 0.933188i | −0.0169236 | + | 0.0520855i | ||||
\(322\) | 28.3695 | + | 29.4211i | 1.58097 | + | 1.63957i | ||||
\(323\) | 3.34852 | − | 2.43284i | 0.186317 | − | 0.135367i | ||||
\(324\) | 13.1751 | + | 22.8200i | 0.731951 | + | 1.26778i | ||||
\(325\) | −14.7682 | − | 1.72570i | −0.819192 | − | 0.0957244i | ||||
\(326\) | 10.0337 | − | 17.3789i | 0.555717 | − | 0.962531i | ||||
\(327\) | −0.213320 | − | 0.0949764i | −0.0117966 | − | 0.00525220i | ||||
\(328\) | 1.30133 | − | 4.00508i | 0.0718539 | − | 0.221144i | ||||
\(329\) | 13.3191 | − | 3.31034i | 0.734306 | − | 0.182505i | ||||
\(330\) | −18.5220 | − | 23.1461i | −1.01960 | − | 1.27415i | ||||
\(331\) | 2.70118 | − | 2.99997i | 0.148471 | − | 0.164893i | −0.664322 | − | 0.747447i | \(-0.731280\pi\) |
0.812793 | + | 0.582553i | \(0.197946\pi\) | |||||||
\(332\) | 17.5777 | − | 30.4454i | 0.964701 | − | 1.67091i | ||||
\(333\) | −10.5448 | − | 2.24136i | −0.577850 | − | 0.122826i | ||||
\(334\) | 3.62821 | − | 34.5201i | 0.198527 | − | 1.88886i | ||||
\(335\) | −0.357168 | − | 7.66602i | −0.0195142 | − | 0.418839i | ||||
\(336\) | 12.9668 | − | 10.1153i | 0.707398 | − | 0.551836i | ||||
\(337\) | −11.2824 | − | 8.19713i | −0.614590 | − | 0.446526i | 0.236437 | − | 0.971647i | \(-0.424020\pi\) |
−0.851028 | + | 0.525121i | \(0.824020\pi\) | |||||||
\(338\) | −0.924304 | + | 8.79417i | −0.0502755 | + | 0.478340i | ||||
\(339\) | 2.08784 | + | 19.8645i | 0.113396 | + | 1.07889i | ||||
\(340\) | −4.52167 | + | 4.46950i | −0.245222 | + | 0.242393i | ||||
\(341\) | 1.49294 | − | 14.2044i | 0.0808474 | − | 0.769212i | ||||
\(342\) | −5.80475 | − | 17.8652i | −0.313885 | − | 0.966039i | ||||
\(343\) | −18.4231 | + | 1.89492i | −0.994752 | + | 0.102316i | ||||
\(344\) | −2.92307 | − | 8.99628i | −0.157601 | − | 0.485047i | ||||
\(345\) | 31.7725 | − | 20.3722i | 1.71057 | − | 1.09680i | ||||
\(346\) | 20.8725 | + | 23.1813i | 1.12211 | + | 1.24623i | ||||
\(347\) | 0.461169 | + | 0.512181i | 0.0247569 | + | 0.0274953i | 0.755396 | − | 0.655268i | \(-0.227444\pi\) |
−0.730639 | + | 0.682764i | \(0.760778\pi\) | |||||||
\(348\) | 54.9475 | + | 24.4642i | 2.94550 | + | 1.31142i | ||||
\(349\) | 19.3610 | 1.03637 | 0.518186 | − | 0.855268i | \(-0.326607\pi\) | ||||
0.518186 | + | 0.855268i | \(0.326607\pi\) | |||||||
\(350\) | −27.9127 | + | 3.57205i | −1.49200 | + | 0.190934i | ||||
\(351\) | −4.13029 | −0.220459 | ||||||||
\(352\) | −19.4065 | − | 8.64032i | −1.03437 | − | 0.460531i | ||||
\(353\) | −7.93233 | − | 8.80974i | −0.422195 | − | 0.468895i | 0.494096 | − | 0.869407i | \(-0.335499\pi\) |
−0.916292 | + | 0.400512i | \(0.868832\pi\) | |||||||
\(354\) | −2.49744 | − | 2.77368i | −0.132737 | − | 0.147420i | ||||
\(355\) | −25.7246 | − | 1.49789i | −1.36532 | − | 0.0794999i | ||||
\(356\) | −6.35167 | − | 19.5484i | −0.336638 | − | 1.03606i | ||||
\(357\) | 3.66517 | + | 5.87519i | 0.193982 | + | 0.310948i | ||||
\(358\) | −8.71908 | − | 26.8346i | −0.460818 | − | 1.41825i | ||||
\(359\) | 1.26450 | − | 12.0309i | 0.0667379 | − | 0.634969i | −0.909116 | − | 0.416544i | \(-0.863241\pi\) |
0.975854 | − | 0.218425i | \(-0.0700920\pi\) | |||||||
\(360\) | 2.69277 | + | 5.36155i | 0.141922 | + | 0.282578i | ||||
\(361\) | 0.573792 | + | 5.45927i | 0.0301996 | + | 0.287330i | ||||
\(362\) | 2.68705 | − | 25.5656i | 0.141228 | − | 1.34370i | ||||
\(363\) | −7.16487 | − | 5.20558i | −0.376058 | − | 0.273222i | ||||
\(364\) | −2.75028 | − | 19.6751i | −0.144154 | − | 1.03125i | ||||
\(365\) | −20.3461 | + | 7.67499i | −1.06496 | + | 0.401727i | ||||
\(366\) | −0.247330 | + | 2.35319i | −0.0129282 | + | 0.123003i | ||||
\(367\) | 14.4187 | + | 3.06479i | 0.752651 | + | 0.159981i | 0.568234 | − | 0.822867i | \(-0.307627\pi\) |
0.184417 | + | 0.982848i | \(0.440960\pi\) | |||||||
\(368\) | 9.71023 | − | 16.8186i | 0.506181 | − | 0.876731i | ||||
\(369\) | −6.06137 | + | 6.73183i | −0.315542 | + | 0.350445i | ||||
\(370\) | 20.5844 | + | 5.64378i | 1.07013 | + | 0.293406i | ||||
\(371\) | −4.37333 | − | 4.53544i | −0.227052 | − | 0.235468i | ||||
\(372\) | −9.66044 | + | 29.7318i | −0.500870 | + | 1.54152i | ||||
\(373\) | 32.0217 | + | 14.2570i | 1.65802 | + | 0.738198i | 0.999892 | − | 0.0147083i | \(-0.00468197\pi\) |
0.658128 | + | 0.752906i | \(0.271349\pi\) | |||||||
\(374\) | 3.21140 | − | 5.56230i | 0.166057 | − | 0.287620i | ||||
\(375\) | −1.81154 | + | 25.9234i | −0.0935478 | + | 1.33868i | ||||
\(376\) | 2.89674 | + | 5.01730i | 0.149388 | + | 0.258748i | ||||
\(377\) | −24.6556 | + | 17.9134i | −1.26983 | + | 0.922585i | ||||
\(378\) | −7.58617 | + | 1.88547i | −0.390191 | + | 0.0969782i | ||||
\(379\) | 6.00030 | − | 18.4670i | 0.308215 | − | 0.948587i | −0.670243 | − | 0.742141i | \(-0.733810\pi\) |
0.978458 | − | 0.206446i | \(-0.0661897\pi\) | |||||||
\(380\) | 5.25498 | + | 20.0771i | 0.269575 | + | 1.02993i | ||||
\(381\) | −37.3168 | − | 7.93192i | −1.91180 | − | 0.406365i | ||||
\(382\) | 10.4013 | − | 18.0157i | 0.532179 | − | 0.921761i | ||||
\(383\) | −10.1468 | + | 11.2692i | −0.518478 | + | 0.575828i | −0.944345 | − | 0.328958i | \(-0.893303\pi\) |
0.425867 | + | 0.904786i | \(0.359969\pi\) | |||||||
\(384\) | 16.2223 | + | 11.7862i | 0.827839 | + | 0.601460i | ||||
\(385\) | 14.6424 | − | 6.10255i | 0.746245 | − | 0.311015i | ||||
\(386\) | −28.2039 | + | 20.4913i | −1.43554 | + | 1.04298i | ||||
\(387\) | −2.12689 | + | 20.2360i | −0.108116 | + | 1.02866i | ||||
\(388\) | 6.14667 | − | 2.73667i | 0.312050 | − | 0.138934i | ||||
\(389\) | −2.08063 | − | 19.7959i | −0.105492 | − | 1.00369i | −0.911364 | − | 0.411601i | \(-0.864970\pi\) |
0.805872 | − | 0.592090i | \(-0.201697\pi\) | |||||||
\(390\) | −32.8215 | − | 1.91113i | −1.66198 | − | 0.0967738i | ||||
\(391\) | 6.61558 | + | 4.80650i | 0.334564 | + | 0.243075i | ||||
\(392\) | −2.91792 | − | 7.25306i | −0.147377 | − | 0.366335i | ||||
\(393\) | −48.0428 | −2.42344 | ||||||||
\(394\) | −10.0731 | + | 11.1873i | −0.507474 | + | 0.563607i | ||||
\(395\) | −4.25459 | − | 8.47127i | −0.214072 | − | 0.426236i | ||||
\(396\) | −10.8839 | − | 12.0878i | −0.546939 | − | 0.607437i | ||||
\(397\) | 20.1791 | − | 4.28920i | 1.01276 | − | 0.215269i | 0.328498 | − | 0.944505i | \(-0.393458\pi\) |
0.684263 | + | 0.729236i | \(0.260124\pi\) | |||||||
\(398\) | −12.5404 | + | 9.11114i | −0.628594 | + | 0.456700i | ||||
\(399\) | 22.5906 | − | 0.772114i | 1.13095 | − | 0.0386541i | ||||
\(400\) | 5.29651 | + | 12.2776i | 0.264825 | + | 0.613882i | ||||
\(401\) | 7.44973 | + | 12.9033i | 0.372022 | + | 0.644361i | 0.989876 | − | 0.141932i | \(-0.0453313\pi\) |
−0.617855 | + | 0.786292i | \(0.711998\pi\) | |||||||
\(402\) | −1.77376 | − | 16.8762i | −0.0884674 | − | 0.841711i | ||||
\(403\) | −10.5990 | − | 11.7714i | −0.527975 | − | 0.586375i | ||||
\(404\) | 40.6072 | − | 8.63133i | 2.02028 | − | 0.429425i | ||||
\(405\) | 1.08601 | + | 23.3094i | 0.0539644 | + | 1.15826i | ||||
\(406\) | −37.1079 | + | 44.1570i | −1.84164 | + | 2.19148i | ||||
\(407\) | −12.0320 | −0.596403 | ||||||||
\(408\) | −1.95596 | + | 2.17231i | −0.0968345 | + | 0.107546i | ||||
\(409\) | −27.6542 | + | 12.3125i | −1.36741 | + | 0.608812i | −0.953469 | − | 0.301490i | \(-0.902516\pi\) |
−0.413945 | + | 0.910302i | \(0.635849\pi\) | |||||||
\(410\) | 12.7554 | − | 12.6082i | 0.629944 | − | 0.622676i | ||||
\(411\) | 14.4031 | + | 6.41268i | 0.710454 | + | 0.316314i | ||||
\(412\) | −21.1613 | − | 15.3746i | −1.04254 | − | 0.757451i | ||||
\(413\) | 1.79574 | − | 0.874194i | 0.0883627 | − | 0.0430163i | ||||
\(414\) | 30.0244 | − | 21.8140i | 1.47562 | − | 1.07210i | ||||
\(415\) | 26.2076 | − | 16.8040i | 1.28648 | − | 0.824877i | ||||
\(416\) | −21.5225 | + | 9.58243i | −1.05523 | + | 0.469817i | ||||
\(417\) | 15.4001 | + | 3.27340i | 0.754148 | + | 0.160299i | ||||
\(418\) | −10.4828 | − | 18.1567i | −0.512728 | − | 0.888071i | ||||
\(419\) | 4.26455 | + | 13.1249i | 0.208337 | + | 0.641196i | 0.999560 | + | 0.0296676i | \(0.00944487\pi\) |
−0.791223 | + | 0.611528i | \(0.790555\pi\) | |||||||
\(420\) | −34.1260 | + | 6.40196i | −1.66518 | + | 0.312384i | ||||
\(421\) | 2.65296 | − | 8.16496i | 0.129297 | − | 0.397936i | −0.865362 | − | 0.501147i | \(-0.832912\pi\) |
0.994659 | + | 0.103211i | \(0.0329117\pi\) | |||||||
\(422\) | −45.0194 | + | 9.56917i | −2.19151 | + | 0.465820i | ||||
\(423\) | −1.30265 | − | 12.3939i | −0.0633371 | − | 0.602613i | ||||
\(424\) | 1.32982 | − | 2.30332i | 0.0645818 | − | 0.111859i | ||||
\(425\) | −5.37450 | + | 1.67758i | −0.260702 | + | 0.0813747i | ||||
\(426\) | −56.9776 | −2.76058 | ||||||||
\(427\) | −1.17360 | − | 0.475179i | −0.0567947 | − | 0.0229955i | ||||
\(428\) | 0.329395 | − | 1.01377i | 0.0159219 | − | 0.0490027i | ||||
\(429\) | 18.1283 | − | 3.85330i | 0.875244 | − | 0.186039i | ||||
\(430\) | 6.53291 | − | 39.7529i | 0.315045 | − | 1.91705i | ||||
\(431\) | −8.96046 | − | 1.90460i | −0.431610 | − | 0.0917415i | −0.0130166 | − | 0.999915i | \(-0.504143\pi\) |
−0.418593 | + | 0.908174i | \(0.637477\pi\) | |||||||
\(432\) | 1.85718 | + | 3.21673i | 0.0893537 | + | 0.154765i | ||||
\(433\) | 1.24865 | + | 3.84295i | 0.0600063 | + | 0.184680i | 0.976566 | − | 0.215217i | \(-0.0690458\pi\) |
−0.916560 | + | 0.399897i | \(0.869046\pi\) | |||||||
\(434\) | −24.8410 | − | 16.7823i | −1.19241 | − | 0.805575i | ||||
\(435\) | 33.2795 | + | 41.5879i | 1.59563 | + | 1.99399i | ||||
\(436\) | 0.231742 | + | 0.103178i | 0.0110984 | + | 0.00494134i | ||||
\(437\) | 24.3850 | − | 10.8569i | 1.16649 | − | 0.519355i | ||||
\(438\) | −43.9260 | + | 19.5571i | −2.09887 | + | 0.934475i | ||||
\(439\) | −10.5816 | − | 4.71122i | −0.505031 | − | 0.224854i | 0.138374 | − | 0.990380i | \(-0.455812\pi\) |
−0.643405 | + | 0.765526i | \(0.722479\pi\) | |||||||
\(440\) | 4.18389 | + | 5.22841i | 0.199459 | + | 0.249255i | ||||
\(441\) | −0.611827 | + | 16.8059i | −0.0291346 | + | 0.800282i | ||||
\(442\) | −2.20116 | − | 6.77448i | −0.104699 | − | 0.322229i | ||||
\(443\) | −9.26133 | − | 16.0411i | −0.440019 | − | 0.762135i | 0.557671 | − | 0.830062i | \(-0.311695\pi\) |
−0.997690 | + | 0.0679265i | \(0.978362\pi\) | |||||||
\(444\) | 25.7601 | + | 5.47547i | 1.22252 | + | 0.259854i | ||||
\(445\) | 2.95172 | − | 17.9613i | 0.139925 | − | 0.851445i | ||||
\(446\) | −15.4169 | + | 3.27697i | −0.730012 | + | 0.155169i | ||||
\(447\) | 5.98639 | − | 18.4242i | 0.283146 | − | 0.871435i | ||||
\(448\) | −23.9988 | + | 18.7213i | −1.13384 | + | 0.884497i | ||||
\(449\) | −7.62529 | −0.359860 | −0.179930 | − | 0.983679i | \(-0.557587\pi\) | ||||
−0.179930 | + | 0.983679i | \(0.557587\pi\) | |||||||
\(450\) | −0.296527 | + | 25.5508i | −0.0139784 | + | 1.20447i | ||||
\(451\) | −5.05515 | + | 8.75577i | −0.238038 | + | 0.412293i | ||||
\(452\) | −2.26814 | − | 21.5799i | −0.106684 | − | 1.01503i | ||||
\(453\) | 51.6163 | − | 10.9714i | 2.42514 | − | 0.515480i | ||||
\(454\) | 10.3609 | − | 31.8874i | 0.486259 | − | 1.49655i | ||||
\(455\) | 5.83640 | − | 16.5965i | 0.273615 | − | 0.778057i | ||||
\(456\) | 2.94858 | + | 9.07480i | 0.138080 | + | 0.424966i | ||||
\(457\) | 6.31085 | + | 10.9307i | 0.295209 | + | 0.511317i | 0.975034 | − | 0.222058i | \(-0.0712773\pi\) |
−0.679824 | + | 0.733375i | \(0.737944\pi\) | |||||||
\(458\) | −17.9246 | − | 3.80999i | −0.837561 | − | 0.178029i | ||||
\(459\) | −1.42878 | + | 0.636134i | −0.0666897 | + | 0.0296922i | ||||
\(460\) | −34.5162 | + | 22.1314i | −1.60933 | + | 1.03188i | ||||
\(461\) | 10.9007 | − | 7.91981i | 0.507695 | − | 0.368862i | −0.304253 | − | 0.952591i | \(-0.598407\pi\) |
0.811949 | + | 0.583729i | \(0.198407\pi\) | |||||||
\(462\) | 31.5376 | − | 15.3530i | 1.46726 | − | 0.714284i | ||||
\(463\) | −13.9386 | − | 10.1270i | −0.647780 | − | 0.470639i | 0.214734 | − | 0.976672i | \(-0.431111\pi\) |
−0.862514 | + | 0.506033i | \(0.831111\pi\) | |||||||
\(464\) | 25.0376 | + | 11.1474i | 1.16234 | + | 0.517507i | ||||
\(465\) | −19.6890 | + | 19.4618i | −0.913054 | + | 0.902519i | ||||
\(466\) | 2.64537 | − | 1.17779i | 0.122544 | − | 0.0545602i | ||||
\(467\) | −17.2060 | + | 19.1092i | −0.796199 | + | 0.884268i | −0.995411 | − | 0.0956881i | \(-0.969495\pi\) |
0.199213 | + | 0.979956i | \(0.436162\pi\) | |||||||
\(468\) | −18.0394 | −0.833870 | ||||||||
\(469\) | 8.94127 | + | 1.58342i | 0.412870 | + | 0.0731157i | ||||
\(470\) | 1.14834 | + | 24.6472i | 0.0529689 | + | 1.13689i | ||||
\(471\) | −26.2228 | + | 5.57383i | −1.20828 | + | 0.256829i | ||||
\(472\) | 0.564139 | + | 0.626540i | 0.0259666 | + | 0.0288388i | ||||
\(473\) | 2.37383 | + | 22.5855i | 0.109149 | + | 1.03848i | ||||
\(474\) | −10.4805 | − | 18.1528i | −0.481387 | − | 0.833787i | ||||
\(475\) | −4.02945 | + | 17.9313i | −0.184884 | + | 0.822743i | ||||
\(476\) | −3.98168 | − | 6.38255i | −0.182500 | − | 0.292544i | ||||
\(477\) | −4.62845 | + | 3.36276i | −0.211922 | + | 0.153970i | ||||
\(478\) | 40.4868 | − | 8.60573i | 1.85182 | − | 0.393617i | ||||
\(479\) | 18.2378 | + | 20.2552i | 0.833308 | + | 0.925482i | 0.998148 | − | 0.0608384i | \(-0.0193774\pi\) |
−0.164840 | + | 0.986320i | \(0.552711\pi\) | |||||||
\(480\) | 18.4801 | + | 36.7956i | 0.843499 | + | 1.67948i | ||||
\(481\) | −8.92882 | + | 9.91646i | −0.407119 | + | 0.452152i | ||||
\(482\) | −27.7952 | −1.26604 | ||||||||
\(483\) | 15.2428 | + | 41.9760i | 0.693570 | + | 1.90997i | ||||
\(484\) | 7.78360 | + | 5.65512i | 0.353800 | + | 0.257051i | ||||
\(485\) | 5.94830 | + | 0.346357i | 0.270098 | + | 0.0157273i | ||||
\(486\) | 4.46684 | + | 42.4992i | 0.202620 | + | 1.92780i | ||||
\(487\) | 11.5183 | − | 5.12828i | 0.521944 | − | 0.232384i | −0.128815 | − | 0.991669i | \(-0.541117\pi\) |
0.650759 | + | 0.759284i | \(0.274451\pi\) | |||||||
\(488\) | 0.0558688 | − | 0.531556i | 0.00252906 | − | 0.0240624i | ||||
\(489\) | 17.7392 | − | 12.8883i | 0.802195 | − | 0.582829i | ||||
\(490\) | 3.14352 | − | 33.1474i | 0.142010 | − | 1.49745i | ||||
\(491\) | 22.9004 | + | 16.6381i | 1.03348 | + | 0.750867i | 0.969002 | − | 0.247052i | \(-0.0794618\pi\) |
0.0644778 | + | 0.997919i | \(0.479462\pi\) | |||||||
\(492\) | 14.8075 | − | 16.4453i | 0.667572 | − | 0.741413i | ||||
\(493\) | −5.77009 | + | 9.99410i | −0.259872 | + | 0.450111i | ||||
\(494\) | −22.7434 | − | 4.83426i | −1.02328 | − | 0.217504i | ||||
\(495\) | −3.64732 | − | 13.9349i | −0.163935 | − | 0.626328i | ||||
\(496\) | −4.40191 | + | 13.5477i | −0.197651 | + | 0.608309i | ||||
\(497\) | 8.42572 | − | 29.3020i | 0.377945 | − | 1.31437i | ||||
\(498\) | 55.6914 | − | 40.4622i | 2.49559 | − | 1.81315i | ||||
\(499\) | −13.0184 | − | 22.5485i | −0.582783 | − | 1.00941i | −0.995148 | − | 0.0983912i | \(-0.968630\pi\) |
0.412365 | − | 0.911019i | \(-0.364703\pi\) | |||||||
\(500\) | 1.96798 | − | 28.1620i | 0.0880108 | − | 1.25945i | ||||
\(501\) | 18.9632 | − | 32.8453i | 0.847214 | − | 1.46742i | ||||
\(502\) | 42.5605 | + | 18.9492i | 1.89957 | + | 0.845743i | ||||
\(503\) | 5.81912 | − | 17.9094i | 0.259462 | − | 0.798542i | −0.733456 | − | 0.679737i | \(-0.762094\pi\) |
0.992918 | − | 0.118804i | \(-0.0379062\pi\) | |||||||
\(504\) | −6.88942 | + | 1.71230i | −0.306879 | + | 0.0762720i | ||||
\(505\) | 35.4550 | + | 9.72098i | 1.57773 | + | 0.432578i | ||||
\(506\) | 27.7161 | − | 30.7818i | 1.23213 | − | 1.36842i | ||||
\(507\) | −4.83097 | + | 8.36749i | −0.214551 | + | 0.371613i | ||||
\(508\) | 40.5393 | + | 8.61689i | 1.79864 | + | 0.382313i | ||||
\(509\) | −0.863819 | + | 8.21869i | −0.0382881 | + | 0.364287i | 0.958556 | + | 0.284904i | \(0.0919617\pi\) |
−0.996844 | + | 0.0793830i | \(0.974705\pi\) | |||||||
\(510\) | −11.6482 | + | 4.39394i | −0.515790 | + | 0.194567i | ||||
\(511\) | −3.56199 | − | 25.4820i | −0.157573 | − | 1.12726i | ||||
\(512\) | 21.9732 | + | 15.9645i | 0.971089 | + | 0.705537i | ||||
\(513\) | −0.533644 | + | 5.07728i | −0.0235609 | + | 0.224167i | ||||
\(514\) | −1.79493 | − | 17.0776i | −0.0791708 | − | 0.753260i | ||||
\(515\) | −10.3960 | − | 20.6994i | −0.458104 | − | 0.912125i | ||||
\(516\) | 5.19584 | − | 49.4351i | 0.228734 | − | 2.17626i | ||||
\(517\) | −4.29814 | − | 13.2283i | −0.189032 | − | 0.581781i | ||||
\(518\) | −11.8729 | + | 22.2897i | −0.521663 | + | 0.979353i | ||||
\(519\) | 10.5325 | + | 32.4156i | 0.462324 | + | 1.42289i | ||||
\(520\) | 7.41395 | + | 0.431700i | 0.325123 | + | 0.0189313i | ||||
\(521\) | −1.90648 | − | 2.11736i | −0.0835243 | − | 0.0927632i | 0.699934 | − | 0.714208i | \(-0.253213\pi\) |
−0.783458 | + | 0.621445i | \(0.786546\pi\) | |||||||
\(522\) | 35.0453 | + | 38.9218i | 1.53389 | + | 1.70356i | ||||
\(523\) | −19.8080 | − | 8.81908i | −0.866143 | − | 0.385632i | −0.0749418 | − | 0.997188i | \(-0.523877\pi\) |
−0.791201 | + | 0.611556i | \(0.790544\pi\) | |||||||
\(524\) | 52.1916 | 2.28000 | ||||||||
\(525\) | −29.4498 | − | 8.83950i | −1.28529 | − | 0.385787i | ||||
\(526\) | −11.3644 | −0.495511 | ||||||||
\(527\) | −5.47948 | − | 2.43962i | −0.238690 | − | 0.106272i | ||||
\(528\) | −11.1524 | − | 12.3860i | −0.485345 | − | 0.539031i | ||||
\(529\) | 19.8973 | + | 22.0982i | 0.865100 | + | 0.960791i | ||||
\(530\) | 9.53540 | − | 6.11399i | 0.414191 | − | 0.265575i | ||||
\(531\) | −0.560418 | − | 1.72479i | −0.0243201 | − | 0.0748495i | ||||
\(532\) | −24.5415 | + | 0.838791i | −1.06401 | + | 0.0363662i | ||||
\(533\) | 3.46491 | + | 10.6639i | 0.150082 | + | 0.461905i | ||||
\(534\) | 4.20706 | − | 40.0275i | 0.182057 | − | 1.73216i | ||||
\(535\) | 0.671342 | − | 0.663596i | 0.0290246 | − | 0.0286897i | ||||
\(536\) | 0.400671 | + | 3.81213i | 0.0173063 | + | 0.164659i | ||||
\(537\) | 3.22260 | − | 30.6610i | 0.139066 | − | 1.32312i | ||||
\(538\) | 21.0331 | + | 15.2815i | 0.906803 | + | 0.658831i | ||||
\(539\) | 3.23189 | + | 18.4892i | 0.139207 | + | 0.796387i | ||||
\(540\) | −0.364975 | − | 7.83357i | −0.0157060 | − | 0.337103i | ||||
\(541\) | 2.10745 | − | 20.0510i | 0.0906062 | − | 0.862060i | −0.850960 | − | 0.525231i | \(-0.823979\pi\) |
0.941566 | − | 0.336829i | \(-0.109354\pi\) | |||||||
\(542\) | −6.65008 | − | 1.41352i | −0.285646 | − | 0.0607158i | ||||
\(543\) | 14.0441 | − | 24.3252i | 0.602692 | − | 1.04389i | ||||
\(544\) | −5.96936 | + | 6.62965i | −0.255934 | + | 0.284244i | ||||
\(545\) | 0.140357 | + | 0.175398i | 0.00601223 | + | 0.00751321i | ||||
\(546\) | 10.7502 | − | 37.3858i | 0.460066 | − | 1.59996i | ||||
\(547\) | 0.989356 | − | 3.04493i | 0.0423018 | − | 0.130192i | −0.927675 | − | 0.373388i | \(-0.878196\pi\) |
0.969977 | + | 0.243196i | \(0.0781960\pi\) | |||||||
\(548\) | −15.6469 | − | 6.96646i | −0.668403 | − | 0.297592i | ||||
\(549\) | −0.574856 | + | 0.995679i | −0.0245342 | + | 0.0424946i | ||||
\(550\) | 5.60535 | + | 27.9629i | 0.239013 | + | 1.19234i | ||||
\(551\) | 18.8349 | + | 32.6231i | 0.802396 | + | 1.38979i | ||||
\(552\) | −15.2512 | + | 11.0806i | −0.649134 | + | 0.471623i | ||||
\(553\) | 10.8853 | − | 2.70544i | 0.462891 | − | 0.115047i | ||||
\(554\) | −3.43384 | + | 10.5683i | −0.145890 | + | 0.449003i | ||||
\(555\) | 18.0389 | + | 14.7818i | 0.765709 | + | 0.627451i | ||||
\(556\) | −16.7300 | − | 3.55608i | −0.709512 | − | 0.150811i | ||||
\(557\) | −9.04243 | + | 15.6619i | −0.383140 | + | 0.663618i | −0.991509 | − | 0.130036i | \(-0.958491\pi\) |
0.608369 | + | 0.793654i | \(0.291824\pi\) | |||||||
\(558\) | −18.2149 | + | 20.2297i | −0.771097 | + | 0.856390i | ||||
\(559\) | 20.3760 | + | 14.8040i | 0.861814 | + | 0.626144i | ||||
\(560\) | −15.5500 | + | 2.91714i | −0.657106 | + | 0.123272i | ||||
\(561\) | 5.67761 | − | 4.12502i | 0.239709 | − | 0.174159i | ||||
\(562\) | −4.71118 | + | 44.8239i | −0.198729 | + | 1.89078i | ||||
\(563\) | 19.2322 | − | 8.56273i | 0.810540 | − | 0.360876i | 0.0407475 | − | 0.999169i | \(-0.487026\pi\) |
0.769793 | + | 0.638294i | \(0.220359\pi\) | |||||||
\(564\) | 3.18228 | + | 30.2774i | 0.133998 | + | 1.27491i | ||||
\(565\) | 6.99022 | − | 17.8990i | 0.294081 | − | 0.753017i | ||||
\(566\) | −10.6057 | − | 7.70552i | −0.445792 | − | 0.323887i | ||||
\(567\) | −27.1870 | − | 4.81459i | −1.14175 | − | 0.202194i | ||||
\(568\) | 12.8705 | 0.540035 | ||||||||
\(569\) | 2.77317 | − | 3.07992i | 0.116258 | − | 0.129117i | −0.682207 | − | 0.731159i | \(-0.738980\pi\) |
0.798464 | + | 0.602042i | \(0.205646\pi\) | |||||||
\(570\) | −6.58992 | + | 40.0998i | −0.276021 | + | 1.67960i | ||||
\(571\) | 18.4534 | + | 20.4946i | 0.772253 | + | 0.857673i | 0.993056 | − | 0.117645i | \(-0.0375345\pi\) |
−0.220803 | + | 0.975318i | \(0.570868\pi\) | |||||||
\(572\) | −19.6938 | + | 4.18605i | −0.823440 | + | 0.175028i | ||||
\(573\) | 18.3891 | − | 13.3605i | 0.768217 | − | 0.558142i | ||||
\(574\) | 11.2321 | + | 18.0048i | 0.468819 | + | 0.751507i | ||||
\(575\) | −36.1525 | + | 3.37610i | −1.50766 | + | 0.140793i | ||||
\(576\) | 13.8191 | + | 23.9353i | 0.575795 | + | 0.997306i | ||||
\(577\) | 0.427105 | + | 4.06363i | 0.0177806 | + | 0.169171i | 0.999809 | − | 0.0195641i | \(-0.00622785\pi\) |
−0.982028 | + | 0.188735i | \(0.939561\pi\) | |||||||
\(578\) | 22.3927 | + | 24.8696i | 0.931413 | + | 1.03444i | ||||
\(579\) | −37.2598 | + | 7.91981i | −1.54846 | + | 0.329136i | ||||
\(580\) | −36.1534 | − | 45.1793i | −1.50119 | − | 1.87597i | ||||
\(581\) | 12.5730 | + | 34.6239i | 0.521617 | + | 1.43644i | ||||
\(582\) | 13.1749 | 0.546119 | ||||||||
\(583\) | −4.27260 | + | 4.74521i | −0.176953 | + | 0.196526i | ||||
\(584\) | 9.92233 | − | 4.41770i | 0.410589 | − | 0.182806i | ||||
\(585\) | −14.1915 | − | 7.33494i | −0.586745 | − | 0.303262i | ||||
\(586\) | −47.7281 | − | 21.2499i | −1.97163 | − | 0.877826i | ||||
\(587\) | −16.9576 | − | 12.3204i | −0.699916 | − | 0.508519i | 0.179989 | − | 0.983669i | \(-0.442394\pi\) |
−0.879905 | + | 0.475150i | \(0.842394\pi\) | |||||||
\(588\) | 1.49465 | − | 41.0556i | 0.0616382 | − | 1.69310i | ||||
\(589\) | −15.8398 | + | 11.5083i | −0.652666 | + | 0.474189i | ||||
\(590\) | 0.909190 | + | 3.47364i | 0.0374308 | + | 0.143008i | ||||
\(591\) | −15.0267 | + | 6.69034i | −0.618118 | + | 0.275204i | ||||
\(592\) | 11.7379 | + | 2.49497i | 0.482426 | + | 0.102543i | ||||
\(593\) | 11.9137 | + | 20.6351i | 0.489237 | + | 0.847383i | 0.999923 | − | 0.0123842i | \(-0.00394212\pi\) |
−0.510687 | + | 0.859767i | \(0.670609\pi\) | |||||||
\(594\) | 2.44809 | + | 7.53446i | 0.100446 | + | 0.309142i | ||||
\(595\) | −0.537173 | − | 6.64010i | −0.0220219 | − | 0.272217i | ||||
\(596\) | −6.50335 | + | 20.0153i | −0.266388 | + | 0.819857i | ||||
\(597\) | −16.5669 | + | 3.52141i | −0.678040 | + | 0.144122i | ||||
\(598\) | −4.80177 | − | 45.6858i | −0.196359 | − | 1.86823i | ||||
\(599\) | 2.74663 | − | 4.75730i | 0.112224 | − | 0.194378i | −0.804443 | − | 0.594030i | \(-0.797536\pi\) |
0.916667 | + | 0.399652i | \(0.130869\pi\) | |||||||
\(600\) | 0.150624 | − | 12.9788i | 0.00614920 | − | 0.529856i | ||||
\(601\) | 10.0631 | 0.410482 | 0.205241 | − | 0.978711i | \(-0.434202\pi\) | ||||
0.205241 | + | 0.978711i | \(0.434202\pi\) | |||||||
\(602\) | 44.1830 | + | 17.8892i | 1.80076 | + | 0.729109i | ||||
\(603\) | 2.54795 | − | 7.84177i | 0.103760 | − | 0.319342i | ||||
\(604\) | −56.0736 | + | 11.9188i | −2.28160 | + | 0.484970i | ||||
\(605\) | 3.82390 | + | 7.61372i | 0.155464 | + | 0.309542i | ||||
\(606\) | 79.5137 | + | 16.9012i | 3.23002 | + | 0.686563i | ||||
\(607\) | −11.2633 | − | 19.5086i | −0.457164 | − | 0.791831i | 0.541646 | − | 0.840607i | \(-0.317801\pi\) |
−0.998810 | + | 0.0487757i | \(0.984468\pi\) | |||||||
\(608\) | 8.99872 | + | 27.6952i | 0.364946 | + | 1.12319i | ||||
\(609\) | −56.6653 | + | 27.5855i | −2.29619 | + | 1.11782i | ||||
\(610\) | 1.25083 | − | 1.90185i | 0.0506445 | − | 0.0770038i | ||||
\(611\) | −14.0921 | − | 6.27419i | −0.570104 | − | 0.253827i | ||||
\(612\) | −6.24031 | + | 2.77836i | −0.252250 | + | 0.112309i | ||||
\(613\) | −1.92847 | + | 0.858610i | −0.0778902 | + | 0.0346789i | −0.445312 | − | 0.895375i | \(-0.646907\pi\) |
0.367422 | + | 0.930054i | \(0.380241\pi\) | |||||||
\(614\) | −16.9329 | − | 7.53901i | −0.683356 | − | 0.304250i | ||||
\(615\) | 18.3357 | − | 6.91663i | 0.739368 | − | 0.278905i | ||||
\(616\) | −7.12393 | + | 3.46804i | −0.287031 | + | 0.139731i | ||||
\(617\) | −9.50219 | − | 29.2447i | −0.382544 | − | 1.17735i | −0.938247 | − | 0.345967i | \(-0.887551\pi\) |
0.555703 | − | 0.831381i | \(-0.312449\pi\) | |||||||
\(618\) | −25.6090 | − | 44.3561i | −1.03015 | − | 1.78427i | ||||
\(619\) | 14.4079 | + | 3.06250i | 0.579103 | + | 0.123092i | 0.488145 | − | 0.872762i | \(-0.337674\pi\) |
0.0909583 | + | 0.995855i | \(0.471007\pi\) | |||||||
\(620\) | 21.3892 | − | 21.1424i | 0.859012 | − | 0.849101i | ||||
\(621\) | −9.86590 | + | 2.09706i | −0.395905 | + | 0.0841522i | ||||
\(622\) | 15.1927 | − | 46.7582i | 0.609170 | − | 1.87483i | ||||
\(623\) | 19.9629 | + | 8.08275i | 0.799796 | + | 0.323828i | ||||
\(624\) | −18.4843 | −0.739964 | ||||||||
\(625\) | 12.9991 | − | 21.3547i | 0.519964 | − | 0.854188i | ||||
\(626\) | 7.95207 | − | 13.7734i | 0.317829 | − | 0.550495i | ||||
\(627\) | −2.39455 | − | 22.7826i | −0.0956291 | − | 0.909850i | ||||
\(628\) | 28.4873 | − | 6.05517i | 1.13677 | − | 0.241627i | ||||
\(629\) | −1.56142 | + | 4.80556i | −0.0622579 | + | 0.191610i | ||||
\(630\) | −29.4141 | − | 6.99382i | −1.17188 | − | 0.278640i | ||||
\(631\) | −2.75377 | − | 8.47524i | −0.109626 | − | 0.337394i | 0.881162 | − | 0.472814i | \(-0.156762\pi\) |
−0.990788 | + | 0.135420i | \(0.956762\pi\) | |||||||
\(632\) | 2.36742 | + | 4.10049i | 0.0941709 | + | 0.163109i | ||||
\(633\) | −49.1908 | − | 10.4558i | −1.95516 | − | 0.415582i | ||||
\(634\) | −55.9508 | + | 24.9109i | −2.22209 | + | 0.989339i | ||||
\(635\) | 28.3883 | + | 23.2624i | 1.12656 | + | 0.923141i | ||||
\(636\) | 11.3069 | − | 8.21497i | 0.448349 | − | 0.325745i | ||||
\(637\) | 17.6367 | + | 11.0570i | 0.698792 | + | 0.438096i | ||||
\(638\) | 47.2913 | + | 34.3591i | 1.87228 | + | 1.36029i | ||||
\(639\) | −25.2919 | − | 11.2607i | −1.00053 | − | 0.445465i | ||||
\(640\) | −8.65783 | − | 17.2385i | −0.342231 | − | 0.681412i | ||||
\(641\) | 8.15018 | − | 3.62869i | 0.321913 | − | 0.143325i | −0.239418 | − | 0.970917i | \(-0.576956\pi\) |
0.561330 | + | 0.827592i | \(0.310290\pi\) | |||||||
\(642\) | 1.39664 | − | 1.55113i | 0.0551210 | − | 0.0612181i | ||||
\(643\) | 8.25030 | 0.325360 | 0.162680 | − | 0.986679i | \(-0.447986\pi\) | ||||
0.162680 | + | 0.986679i | \(0.447986\pi\) | |||||||
\(644\) | −16.5591 | − | 45.6008i | −0.652519 | − | 1.79692i | ||||
\(645\) | 24.1882 | − | 36.7776i | 0.952410 | − | 1.44812i | ||||
\(646\) | −8.61213 | + | 1.83056i | −0.338840 | + | 0.0720226i | ||||
\(647\) | −12.1608 | − | 13.5059i | −0.478089 | − | 0.530971i | 0.455061 | − | 0.890461i | \(-0.349618\pi\) |
−0.933149 | + | 0.359489i | \(0.882951\pi\) | |||||||
\(648\) | −1.21829 | − | 11.5912i | −0.0478589 | − | 0.455347i | ||||
\(649\) | −1.01206 | − | 1.75293i | −0.0397266 | − | 0.0688085i | ||||
\(650\) | 27.2060 | + | 16.1312i | 1.06711 | + | 0.632718i | ||||
\(651\) | −17.3377 | − | 27.7919i | −0.679516 | − | 1.08925i | ||||
\(652\) | −19.2711 | + | 14.0013i | −0.754715 | + | 0.548332i | ||||
\(653\) | −29.8570 | + | 6.34631i | −1.16840 | + | 0.248350i | −0.750955 | − | 0.660354i | \(-0.770406\pi\) |
−0.417441 | + | 0.908704i | \(0.637073\pi\) | |||||||
\(654\) | 0.332372 | + | 0.369136i | 0.0129968 | + | 0.0144344i | ||||
\(655\) | 41.0588 | + | 21.2215i | 1.60430 | + | 0.829192i | ||||
\(656\) | 6.74721 | − | 7.49354i | 0.263434 | − | 0.292574i | ||||
\(657\) | −23.3635 | −0.911497 | ||||||||
\(658\) | −28.7473 | − | 5.09090i | −1.12068 | − | 0.198464i | ||||
\(659\) | −4.57123 | − | 3.32120i | −0.178070 | − | 0.129375i | 0.495180 | − | 0.868790i | \(-0.335102\pi\) |
−0.673250 | + | 0.739415i | \(0.735102\pi\) | |||||||
\(660\) | 8.91013 | + | 34.0419i | 0.346826 | + | 1.32508i | ||||
\(661\) | 0.802033 | + | 7.63083i | 0.0311955 | + | 0.296805i | 0.998985 | + | 0.0450444i | \(0.0143429\pi\) |
−0.967790 | + | 0.251761i | \(0.918990\pi\) | |||||||
\(662\) | −7.84485 | + | 3.49275i | −0.304899 | + | 0.135750i | ||||
\(663\) | 0.813558 | − | 7.74049i | 0.0315960 | − | 0.300616i | ||||
\(664\) | −12.5800 | + | 9.13989i | −0.488198 | + | 0.354696i | ||||
\(665\) | −19.6477 | − | 9.31888i | −0.761905 | − | 0.361371i | ||||
\(666\) | 18.5525 | + | 13.4791i | 0.718893 | + | 0.522306i | ||||
\(667\) | −49.7990 | + | 55.3074i | −1.92823 | + | 2.14151i | ||||
\(668\) | −20.6008 | + | 35.6817i | −0.797069 | + | 1.38056i | ||||
\(669\) | −16.8454 | − | 3.58060i | −0.651281 | − | 0.138434i | ||||
\(670\) | −5.93867 | + | 15.2064i | −0.229431 | + | 0.587476i | ||||
\(671\) | −0.396529 | + | 1.22039i | −0.0153079 | + | 0.0471127i | ||||
\(672\) | −47.2812 | + | 11.7513i | −1.82391 | + | 0.453316i | ||||
\(673\) | −10.0813 | + | 7.32449i | −0.388606 | + | 0.282338i | −0.764884 | − | 0.644168i | \(-0.777204\pi\) |
0.376278 | + | 0.926507i | \(0.377204\pi\) | |||||||
\(674\) | 14.8328 | + | 25.6912i | 0.571339 | + | 0.989589i | ||||
\(675\) | 2.89806 | − | 6.31102i | 0.111547 | − | 0.242911i | ||||
\(676\) | 5.24816 | − | 9.09007i | 0.201852 | − | 0.349618i | ||||
\(677\) | −40.4801 | − | 18.0229i | −1.55578 | − | 0.692677i | −0.564618 | − | 0.825352i | \(-0.690977\pi\) |
−0.991160 | + | 0.132675i | \(0.957643\pi\) | |||||||
\(678\) | 13.1297 | − | 40.4092i | 0.504245 | − | 1.55191i | ||||
\(679\) | −1.94828 | + | 6.77549i | −0.0747681 | + | 0.260020i | ||||
\(680\) | 2.63118 | − | 0.992536i | 0.100901 | − | 0.0380620i | ||||
\(681\) | 24.5137 | − | 27.2252i | 0.939365 | − | 1.04327i | ||||
\(682\) | −15.1911 | + | 26.3118i | −0.581698 | + | 1.00753i | ||||
\(683\) | 3.29814 | + | 0.701040i | 0.126200 | + | 0.0268246i | 0.270578 | − | 0.962698i | \(-0.412785\pi\) |
−0.144379 | + | 0.989522i | \(0.546118\pi\) | |||||||
\(684\) | −2.33073 | + | 22.1754i | −0.0891177 | + | 0.847898i | ||||
\(685\) | −9.47672 | − | 11.8426i | −0.362087 | − | 0.452483i | ||||
\(686\) | 37.4412 | + | 12.2575i | 1.42951 | + | 0.467994i | ||||
\(687\) | −16.1989 | − | 11.7692i | −0.618028 | − | 0.449024i | ||||
\(688\) | 2.36755 | − | 22.5258i | 0.0902621 | − | 0.858787i | ||||
\(689\) | 0.740223 | + | 7.04275i | 0.0282002 | + | 0.268307i | ||||
\(690\) | −79.3699 | + | 12.0993i | −3.02156 | + | 0.460612i | ||||
\(691\) | 1.12826 | − | 10.7346i | 0.0429209 | − | 0.408365i | −0.951876 | − | 0.306484i | \(-0.900847\pi\) |
0.994797 | − | 0.101881i | \(-0.0324860\pi\) | |||||||
\(692\) | −11.4420 | − | 35.2149i | −0.434960 | − | 1.33867i | ||||
\(693\) | 17.0335 | − | 0.582179i | 0.647049 | − | 0.0221152i | ||||
\(694\) | −0.453047 | − | 1.39433i | −0.0171974 | − | 0.0529282i | ||||
\(695\) | −11.7155 | − | 9.60010i | −0.444394 | − | 0.364153i | ||||
\(696\) | −17.8016 | − | 19.7707i | −0.674768 | − | 0.749406i | ||||
\(697\) | 2.84103 | + | 3.15528i | 0.107612 | + | 0.119515i | ||||
\(698\) | −37.6244 | − | 16.7515i | −1.42410 | − | 0.634052i | ||||
\(699\) | 3.16403 | 0.119674 | ||||||||
\(700\) | 31.9930 | + | 9.60284i | 1.20922 | + | 0.362953i | ||||
\(701\) | 18.3376 | 0.692601 | 0.346301 | − | 0.938124i | \(-0.387438\pi\) | ||||
0.346301 | + | 0.938124i | \(0.387438\pi\) | |||||||
\(702\) | 8.02642 | + | 3.57359i | 0.302938 | + | 0.134877i | ||||
\(703\) | 11.0365 | + | 12.2572i | 0.416248 | + | 0.462290i | ||||
\(704\) | 20.6407 | + | 22.9238i | 0.777925 | + | 0.863973i | ||||
\(705\) | −9.80753 | + | 25.1130i | −0.369373 | + | 0.945809i | ||||
\(706\) | 7.79261 | + | 23.9832i | 0.293279 | + | 0.902619i | ||||
\(707\) | −20.4501 | + | 38.3923i | −0.769105 | + | 1.44389i | ||||
\(708\) | 1.36906 | + | 4.21353i | 0.0514524 | + | 0.158354i | ||||
\(709\) | 4.26494 | − | 40.5782i | 0.160173 | − | 1.52395i | −0.559031 | − | 0.829147i | \(-0.688827\pi\) |
0.719204 | − | 0.694799i | \(-0.244507\pi\) | |||||||
\(710\) | 48.6948 | + | 25.1682i | 1.82748 | + | 0.944545i | ||||
\(711\) | −1.06462 | − | 10.1292i | −0.0399263 | − | 0.379874i | ||||
\(712\) | −0.950321 | + | 9.04170i | −0.0356148 | + | 0.338852i | ||||
\(713\) | −31.2942 | − | 22.7366i | −1.17198 | − | 0.851491i | ||||
\(714\) | −2.03925 | − | 14.5885i | −0.0763169 | − | 0.545959i | ||||
\(715\) | −17.1951 | − | 4.71451i | −0.643060 | − | 0.176313i | ||||
\(716\) | −3.50090 | + | 33.3088i | −0.130835 | + | 1.24481i | ||||
\(717\) | 44.2382 | + | 9.40312i | 1.65211 | + | 0.351166i | ||||
\(718\) | −12.8667 | + | 22.2857i | −0.480180 | + | 0.831696i | ||||
\(719\) | 15.8991 | − | 17.6577i | 0.592936 | − | 0.658522i | −0.369754 | − | 0.929130i | \(-0.620558\pi\) |
0.962690 | + | 0.270608i | \(0.0872246\pi\) | |||||||
\(720\) | 0.668613 | + | 14.3507i | 0.0249177 | + | 0.534818i | ||||
\(721\) | 26.5981 | − | 6.61071i | 0.990565 | − | 0.246196i | ||||
\(722\) | 3.60839 | − | 11.1055i | 0.134290 | − | 0.413303i | ||||
\(723\) | −27.7449 | − | 12.3528i | −1.03185 | − | 0.459407i | ||||
\(724\) | −15.2569 | + | 26.4258i | −0.567020 | + | 0.982107i | ||||
\(725\) | −10.0714 | − | 50.2425i | −0.374044 | − | 1.86596i | ||||
\(726\) | 9.41958 | + | 16.3152i | 0.349594 | + | 0.605514i | ||||
\(727\) | −9.22036 | + | 6.69898i | −0.341964 | + | 0.248452i | −0.745490 | − | 0.666517i | \(-0.767785\pi\) |
0.403526 | + | 0.914968i | \(0.367785\pi\) | |||||||
\(728\) | −2.42833 | + | 8.44497i | −0.0900000 | + | 0.312991i | ||||
\(729\) | −4.75454 | + | 14.6330i | −0.176094 | + | 0.541961i | ||||
\(730\) | 46.1792 | + | 2.68892i | 1.70917 | + | 0.0995216i | ||||
\(731\) | 9.32869 | + | 1.98287i | 0.345034 | + | 0.0733392i | ||||
\(732\) | 1.40433 | − | 2.43237i | 0.0519055 | − | 0.0899029i | ||||
\(733\) | 31.6151 | − | 35.1122i | 1.16773 | − | 1.29690i | 0.220852 | − | 0.975307i | \(-0.429116\pi\) |
0.946879 | − | 0.321590i | \(-0.104217\pi\) | |||||||
\(734\) | −25.3683 | − | 18.4311i | −0.936360 | − | 0.680305i | ||||
\(735\) | 17.8693 | − | 31.6904i | 0.659120 | − | 1.16892i | ||||
\(736\) | −46.5449 | + | 33.8168i | −1.71567 | + | 1.24650i | ||||
\(737\) | 0.961937 | − | 9.15222i | 0.0354334 | − | 0.337126i | ||||
\(738\) | 17.6036 | − | 7.83761i | 0.647996 | − | 0.288506i | ||||
\(739\) | −0.803459 | − | 7.64440i | −0.0295557 | − | 0.281204i | −0.999311 | − | 0.0371234i | \(-0.988181\pi\) |
0.969755 | − | 0.244081i | \(-0.0784861\pi\) | |||||||
\(740\) | −19.5967 | − | 16.0583i | −0.720389 | − | 0.590313i | ||||
\(741\) | −20.5538 | − | 14.9332i | −0.755064 | − | 0.548586i | ||||
\(742\) | 4.57458 | + | 12.5976i | 0.167938 | + | 0.462473i | ||||
\(743\) | 16.6970 | 0.612554 | 0.306277 | − | 0.951942i | \(-0.400917\pi\) | ||||
0.306277 | + | 0.951942i | \(0.400917\pi\) | |||||||
\(744\) | 9.25243 | − | 10.2759i | 0.339211 | − | 0.376731i | ||||
\(745\) | −13.2545 | + | 13.1016i | −0.485607 | + | 0.480004i | ||||
\(746\) | −49.8925 | − | 55.4113i | −1.82670 | − | 2.02875i | ||||
\(747\) | 32.7176 | − | 6.95433i | 1.19707 | − | 0.254446i | ||||
\(748\) | −6.16791 | + | 4.48125i | −0.225521 | + | 0.163851i | ||||
\(749\) | 0.591168 | + | 0.947630i | 0.0216008 | + | 0.0346256i | ||||
\(750\) | 25.9497 | − | 48.8097i | 0.947549 | − | 1.78228i | ||||
\(751\) | 13.1673 | + | 22.8064i | 0.480481 | + | 0.832218i | 0.999749 | − | 0.0223936i | \(-0.00712869\pi\) |
−0.519268 | + | 0.854611i | \(0.673795\pi\) | |||||||
\(752\) | 1.45005 | + | 13.7963i | 0.0528778 | + | 0.503099i | ||||
\(753\) | 34.0621 | + | 37.8298i | 1.24129 | + | 1.37859i | ||||
\(754\) | 63.4123 | − | 13.4787i | 2.30934 | − | 0.490865i | ||||
\(755\) | −48.9591 | − | 13.4235i | −1.78180 | − | 0.488531i | ||||
\(756\) | 9.13669 | + | 1.61803i | 0.332298 | + | 0.0588472i | ||||
\(757\) | 25.9220 | 0.942150 | 0.471075 | − | 0.882093i | \(-0.343866\pi\) | ||||
0.471075 | + | 0.882093i | \(0.343866\pi\) | |||||||
\(758\) | −27.6384 | + | 30.6955i | −1.00387 | + | 1.11491i | ||||
\(759\) | 41.3461 | − | 18.4085i | 1.50077 | − | 0.668186i | ||||
\(760\) | 1.48858 | − | 9.05804i | 0.0539965 | − | 0.328570i | ||||
\(761\) | −20.5889 | − | 9.16678i | −0.746348 | − | 0.332295i | −0.00191975 | − | 0.999998i | \(-0.500611\pi\) |
−0.744428 | + | 0.667703i | \(0.767278\pi\) | |||||||
\(762\) | 65.6551 | + | 47.7012i | 2.37843 | + | 1.72803i | ||||
\(763\) | −0.238987 | + | 0.116342i | −0.00865189 | + | 0.00421187i | ||||
\(764\) | −19.9771 | + | 14.5142i | −0.722748 | + | 0.525107i | ||||
\(765\) | −6.03891 | − | 0.351634i | −0.218337 | − | 0.0127134i | ||||
\(766\) | 29.4686 | − | 13.1203i | 1.06474 | − | 0.474055i | ||||
\(767\) | −2.19576 | − | 0.466723i | −0.0792842 | − | 0.0168524i | ||||
\(768\) | 5.41217 | + | 9.37415i | 0.195295 | + | 0.338261i | ||||
\(769\) | 11.9612 | + | 36.8128i | 0.431333 | + | 1.32750i | 0.896798 | + | 0.442439i | \(0.145887\pi\) |
−0.465466 | + | 0.885066i | \(0.654113\pi\) | |||||||
\(770\) | −33.7346 | − | 0.809690i | −1.21571 | − | 0.0291792i | ||||
\(771\) | 5.79800 | − | 17.8444i | 0.208810 | − | 0.642651i | ||||
\(772\) | 40.4774 | − | 8.60373i | 1.45681 | − | 0.309655i | ||||
\(773\) | −2.55929 | − | 24.3500i | −0.0920511 | − | 0.875808i | −0.938950 | − | 0.344054i | \(-0.888200\pi\) |
0.846899 | − | 0.531754i | \(-0.178467\pi\) | |||||||
\(774\) | 21.6417 | − | 37.4846i | 0.777896 | − | 1.34736i | ||||
\(775\) | 25.4234 | − | 7.93560i | 0.913237 | − | 0.285055i | ||||
\(776\) | −2.97605 | −0.106834 | ||||||||
\(777\) | −21.7575 | + | 16.9728i | −0.780545 | + | 0.608897i | ||||
\(778\) | −13.0844 | + | 40.2697i | −0.469099 | + | 1.44374i | ||||
\(779\) | 13.5566 | − | 2.88154i | 0.485715 | − | 0.103242i | ||||
\(780\) | 34.6686 | + | 17.9187i | 1.24134 | + | 0.641592i | ||||
\(781\) | −30.2245 | − | 6.42442i | −1.08152 | − | 0.229884i | ||||
\(782\) | −8.69744 | − | 15.0644i | −0.311020 | − | 0.538702i | ||||
\(783\) | −4.39862 | − | 13.5376i | −0.157194 | − | 0.483793i | ||||
\(784\) | 0.681056 | − | 18.7075i | 0.0243234 | − | 0.668126i | ||||
\(785\) | 24.8729 | + | 6.81959i | 0.887751 | + | 0.243402i | ||||
\(786\) | 93.3618 | + | 41.5674i | 3.33011 | + | 1.48266i | ||||
\(787\) | −50.4866 | + | 22.4781i | −1.79965 | + | 0.801257i | −0.829603 | + | 0.558354i | \(0.811433\pi\) |
−0.970051 | + | 0.242903i | \(0.921900\pi\) | |||||||
\(788\) | 16.3244 | − | 7.26809i | 0.581533 | − | 0.258915i | ||||
\(789\) | −11.3439 | − | 5.05061i | −0.403852 | − | 0.179806i | ||||
\(790\) | 0.938503 | + | 20.1434i | 0.0333904 | + | 0.716670i | ||||
\(791\) | 18.8397 | + | 12.7279i | 0.669863 | + | 0.452551i | ||||
\(792\) | 2.22325 | + | 6.84246i | 0.0789997 | + | 0.243136i | ||||
\(793\) | 0.711556 | + | 1.23245i | 0.0252681 | + | 0.0437656i | ||||
\(794\) | −42.9253 | − | 9.12405i | −1.52336 | − | 0.323800i | ||||
\(795\) | 12.2354 | − | 1.86518i | 0.433944 | − | 0.0661512i | ||||
\(796\) | 17.9976 | − | 3.82551i | 0.637908 | − | 0.135592i | ||||
\(797\) | −5.93061 | + | 18.2526i | −0.210073 | + | 0.646539i | 0.789394 | + | 0.613887i | \(0.210395\pi\) |
−0.999467 | + | 0.0326513i | \(0.989605\pi\) | |||||||
\(798\) | −44.5686 | − | 18.0453i | −1.57771 | − | 0.638797i | ||||
\(799\) | −5.84116 | −0.206645 | ||||||||
\(800\) | 0.459687 | − | 39.6096i | 0.0162524 | − | 1.40041i | ||||
\(801\) | 9.77823 | − | 16.9364i | 0.345497 | − | 0.598418i | ||||
\(802\) | −3.31296 | − | 31.5207i | −0.116985 | − | 1.11303i | ||||
\(803\) | −25.5062 | + | 5.42152i | −0.900096 | + | 0.191321i | ||||
\(804\) | −6.22444 | + | 19.1568i | −0.219519 | + | 0.675610i | ||||
\(805\) | 5.51472 | − | 42.6069i | 0.194368 | − | 1.50170i | ||||
\(806\) | 10.4123 | + | 32.0459i | 0.366759 | + | 1.12877i | ||||
\(807\) | 14.2037 | + | 24.6015i | 0.499993 | + | 0.866013i | ||||
\(808\) | −17.9611 | − | 3.81776i | −0.631870 | − | 0.134308i | ||||
\(809\) | 43.7120 | − | 19.4618i | 1.53683 | − | 0.684242i | 0.548444 | − | 0.836187i | \(-0.315220\pi\) |
0.988389 | + | 0.151945i | \(0.0485538\pi\) | |||||||
\(810\) | 18.0572 | − | 46.2370i | 0.634466 | − | 1.62460i | ||||
\(811\) | 10.1349 | − | 7.36343i | 0.355884 | − | 0.258565i | −0.395449 | − | 0.918488i | \(-0.629411\pi\) |
0.751333 | + | 0.659923i | \(0.229411\pi\) | |||||||
\(812\) | 61.5587 | − | 29.9677i | 2.16029 | − | 1.05166i | ||||
\(813\) | −6.00986 | − | 4.36642i | −0.210775 | − | 0.153137i | ||||
\(814\) | 23.3818 | + | 10.4103i | 0.819532 | + | 0.364879i | ||||
\(815\) | −20.8535 | + | 3.17894i | −0.730466 | + | 0.111353i | ||||
\(816\) | −6.39422 | + | 2.84689i | −0.223843 | + | 0.0996611i | ||||
\(817\) | 20.8309 | − | 23.1351i | 0.728782 | − | 0.809394i | ||||
\(818\) | 64.3936 | 2.25147 | ||||||||
\(819\) | 12.1606 | − | 14.4706i | 0.424925 | − | 0.505644i | ||||
\(820\) | −19.9191 | + | 7.51392i | −0.695606 | + | 0.262397i | ||||
\(821\) | −5.90880 | + | 1.25595i | −0.206219 | + | 0.0438331i | −0.309863 | − | 0.950781i | \(-0.600283\pi\) |
0.103644 | + | 0.994614i | \(0.466950\pi\) | |||||||
\(822\) | −22.4413 | − | 24.9236i | −0.782731 | − | 0.869311i | ||||
\(823\) | 4.14035 | + | 39.3928i | 0.144324 | + | 1.37315i | 0.791669 | + | 0.610951i | \(0.209213\pi\) |
−0.647345 | + | 0.762197i | \(0.724121\pi\) | |||||||
\(824\) | 5.78476 | + | 10.0195i | 0.201521 | + | 0.349045i | ||||
\(825\) | −6.83216 | + | 30.4035i | −0.237865 | + | 1.05851i | ||||
\(826\) | −4.24604 | + | 0.145123i | −0.147739 | + | 0.00504948i | ||||
\(827\) | −11.6981 | + | 8.49914i | −0.406782 | + | 0.295544i | −0.772298 | − | 0.635261i | \(-0.780893\pi\) |
0.365516 | + | 0.930805i | \(0.380893\pi\) | |||||||
\(828\) | −43.0901 | + | 9.15908i | −1.49748 | + | 0.318300i | ||||
\(829\) | −25.8338 | − | 28.6913i | −0.897244 | − | 0.996490i | −0.999998 | − | 0.00178369i | \(-0.999432\pi\) |
0.102754 | − | 0.994707i | \(-0.467234\pi\) | |||||||
\(830\) | −65.4684 | + | 9.98013i | −2.27244 | + | 0.346415i | ||||
\(831\) | −8.12443 | + | 9.02309i | −0.281833 | + | 0.313008i | ||||
\(832\) | 34.2105 | 1.18604 | ||||||||
\(833\) | 7.80399 | + | 1.10858i | 0.270392 | + | 0.0384101i | ||||
\(834\) | −27.0950 | − | 19.6857i | −0.938222 | − | 0.681658i | ||||
\(835\) | −30.7150 | + | 19.6941i | −1.06293 | + | 0.681542i | ||||
\(836\) | 2.60133 | + | 24.7500i | 0.0899690 | + | 0.855998i | ||||
\(837\) | 6.75867 | − | 3.00915i | 0.233614 | − | 0.104012i | ||||
\(838\) | 3.06857 | − | 29.1955i | 0.106002 | − | 1.00854i | ||||
\(839\) | 4.52632 | − | 3.28857i | 0.156266 | − | 0.113534i | −0.506905 | − | 0.862002i | \(-0.669210\pi\) |
0.663171 | + | 0.748468i | \(0.269210\pi\) | |||||||
\(840\) | 14.9412 | + | 3.55258i | 0.515519 | + | 0.122576i | ||||
\(841\) | −61.5093 | − | 44.6892i | −2.12101 | − | 1.54101i | ||||
\(842\) | −12.2199 | + | 13.5716i | −0.421127 | + | 0.467709i | ||||
\(843\) | −24.6235 | + | 42.6491i | −0.848077 | + | 1.46891i | ||||
\(844\) | 53.4387 | + | 11.3588i | 1.83944 | + | 0.390984i | ||||
\(845\) | 7.82478 | − | 5.01716i | 0.269181 | − | 0.172596i | ||||
\(846\) | −8.19195 | + | 25.2122i | −0.281645 | + | 0.866814i | ||||
\(847\) | −9.78339 | + | 2.43157i | −0.336161 | + | 0.0835497i | ||||
\(848\) | 5.15216 | − | 3.74326i | 0.176926 | − | 0.128544i | ||||
\(849\) | −7.16205 | − | 12.4050i | −0.245801 | − | 0.425740i | ||||
\(850\) | 11.8958 | + | 1.39005i | 0.408022 | + | 0.0476782i | ||||
\(851\) | −16.2931 | + | 28.2205i | −0.558521 | + | 0.967387i | ||||
\(852\) | 61.7861 | + | 27.5089i | 2.11676 | + | 0.942441i | ||||
\(853\) | −8.73679 | + | 26.8891i | −0.299142 | + | 0.920664i | 0.682657 | + | 0.730739i | \(0.260824\pi\) |
−0.981799 | + | 0.189925i | \(0.939176\pi\) | |||||||
\(854\) | 1.86954 | + | 1.93884i | 0.0639743 | + | 0.0663457i | ||||
\(855\) | −10.8503 | + | 16.4976i | −0.371071 | + | 0.564205i | ||||
\(856\) | −0.315483 | + | 0.350380i | −0.0107830 | + | 0.0119757i | ||||
\(857\) | −4.37971 | + | 7.58589i | −0.149608 | + | 0.259129i | −0.931083 | − | 0.364808i | \(-0.881135\pi\) |
0.781475 | + | 0.623937i | \(0.214468\pi\) | |||||||
\(858\) | −38.5628 | − | 8.19678i | −1.31651 | − | 0.279833i | ||||
\(859\) | −2.02672 | + | 19.2829i | −0.0691506 | + | 0.657924i | 0.903965 | + | 0.427607i | \(0.140643\pi\) |
−0.973115 | + | 0.230318i | \(0.926023\pi\) | |||||||
\(860\) | −26.2770 | + | 39.9536i | −0.896039 | + | 1.36241i | ||||
\(861\) | 3.21003 | + | 22.9641i | 0.109398 | + | 0.782614i | ||||
\(862\) | 15.7650 | + | 11.4540i | 0.536958 | + | 0.390123i | ||||
\(863\) | −5.95374 | + | 56.6460i | −0.202668 | + | 1.92825i | 0.142661 | + | 0.989772i | \(0.454434\pi\) |
−0.345329 | + | 0.938482i | \(0.612233\pi\) | |||||||
\(864\) | −1.15020 | − | 10.9434i | −0.0391306 | − | 0.372303i | ||||
\(865\) | 5.31728 | − | 32.3557i | 0.180793 | − | 1.10013i | ||||
\(866\) | 0.898471 | − | 8.54838i | 0.0305313 | − | 0.290486i | ||||
\(867\) | 11.2996 | + | 34.7765i | 0.383753 | + | 1.18107i | ||||
\(868\) | 18.8349 | + | 30.1919i | 0.639297 | + | 1.02478i | ||||
\(869\) | −3.51274 | − | 10.8111i | −0.119162 | − | 0.366742i | ||||
\(870\) | −28.6898 | − | 109.612i | −0.972676 | − | 3.71619i | ||||
\(871\) | −6.82919 | − | 7.58458i | −0.231398 | − | 0.256994i | ||||
\(872\) | −0.0750785 | − | 0.0833832i | −0.00254248 | − | 0.00282371i | ||||
\(873\) | 5.84824 | + | 2.60380i | 0.197933 | + | 0.0881254i | ||||
\(874\) | −56.7810 | −1.92065 | ||||||||
\(875\) | 21.2641 | + | 20.5631i | 0.718857 | + | 0.695158i | ||||
\(876\) | 57.0752 | 1.92839 | ||||||||
\(877\) | 11.4212 | + | 5.08504i | 0.385666 | + | 0.171710i | 0.590405 | − | 0.807107i | \(-0.298968\pi\) |
−0.204739 | + | 0.978817i | \(0.565635\pi\) | |||||||
\(878\) | 16.4870 | + | 18.3107i | 0.556410 | + | 0.617956i | ||||
\(879\) | −38.1979 | − | 42.4230i | −1.28838 | − | 1.43089i | ||||
\(880\) | 4.06002 | + | 15.5117i | 0.136863 | + | 0.522898i | ||||
\(881\) | −7.65963 | − | 23.5739i | −0.258059 | − | 0.794225i | −0.993211 | − | 0.116323i | \(-0.962889\pi\) |
0.735152 | − | 0.677902i | \(-0.237111\pi\) | |||||||
\(882\) | 15.7297 | − | 32.1297i | 0.529647 | − | 1.08186i | ||||
\(883\) | 15.1166 | + | 46.5243i | 0.508716 | + | 1.56567i | 0.794433 | + | 0.607352i | \(0.207768\pi\) |
−0.285717 | + | 0.958314i | \(0.592232\pi\) | |||||||
\(884\) | −0.883814 | + | 8.40892i | −0.0297259 | + | 0.282823i | ||||
\(885\) | −0.636222 | + | 3.87143i | −0.0213864 | + | 0.130137i | ||||
\(886\) | 4.11859 | + | 39.1858i | 0.138367 | + | 1.31647i | ||||
\(887\) | 4.16435 | − | 39.6212i | 0.139825 | − | 1.33035i | −0.669423 | − | 0.742882i | \(-0.733458\pi\) |
0.809248 | − | 0.587467i | \(-0.199875\pi\) | |||||||
\(888\) | −9.42390 | − | 6.84687i | −0.316246 | − | 0.229766i | ||||
\(889\) | −34.2403 | + | 26.7106i | −1.14838 | + | 0.895844i | ||||
\(890\) | −21.2764 | + | 32.3503i | −0.713188 | + | 1.08439i | ||||
\(891\) | −2.92488 | + | 27.8284i | −0.0979873 | + | 0.932287i | ||||
\(892\) | 18.3001 | + | 3.88981i | 0.612733 | + | 0.130240i | ||||
\(893\) | −9.53346 | + | 16.5124i | −0.319025 | + | 0.552567i | ||||
\(894\) | −27.5743 | + | 30.6244i | −0.922222 | + | 1.02423i | ||||
\(895\) | −16.2977 | + | 24.7803i | −0.544773 | + | 0.828315i | ||||
\(896\) | 22.1509 | − | 5.50541i | 0.740011 | − | 0.183923i | ||||
\(897\) | 15.5108 | − | 47.7372i | 0.517889 | − | 1.59390i | ||||
\(898\) | 14.8183 | + | 6.59752i | 0.494492 | + | 0.220162i | ||||
\(899\) | 27.2947 | − | 47.2758i | 0.910330 | − | 1.57674i | ||||
\(900\) | 12.6575 | − | 27.5639i | 0.421917 | − | 0.918796i | ||||
\(901\) | 1.34076 | + | 2.32227i | 0.0446673 | + | 0.0773661i | ||||
\(902\) | 17.3993 | − | 12.6413i | 0.579334 | − | 0.420911i | ||||
\(903\) | 36.1527 | + | 37.4928i | 1.20309 | + | 1.24768i | ||||
\(904\) | −2.96584 | + | 9.12792i | −0.0986425 | + | 0.303590i | ||||
\(905\) | −22.7475 | + | 14.5854i | −0.756151 | + | 0.484836i | ||||
\(906\) | −109.799 | − | 23.3384i | −3.64782 | − | 0.775368i | ||||
\(907\) | 16.1590 | − | 27.9882i | 0.536550 | − | 0.929332i | −0.462536 | − | 0.886600i | \(-0.653061\pi\) |
0.999087 | − | 0.0427318i | \(-0.0136061\pi\) | |||||||
\(908\) | −26.6306 | + | 29.5762i | −0.883766 | + | 0.981522i | ||||
\(909\) | 31.9552 | + | 23.2168i | 1.05989 | + | 0.770053i | ||||
\(910\) | −25.7015 | + | 27.2024i | −0.851996 | + | 0.901750i | ||||
\(911\) | 25.3724 | − | 18.4341i | 0.840624 | − | 0.610749i | −0.0819206 | − | 0.996639i | \(-0.526105\pi\) |
0.922545 | + | 0.385889i | \(0.126105\pi\) | |||||||
\(912\) | −2.38822 | + | 22.7224i | −0.0790817 | + | 0.752413i | ||||
\(913\) | 34.1044 | − | 15.1843i | 1.12869 | − | 0.502526i | ||||
\(914\) | −2.80649 | − | 26.7020i | −0.0928304 | − | 0.883223i | ||||
\(915\) | 2.09380 | − | 1.34252i | 0.0692187 | − | 0.0443823i | ||||
\(916\) | 17.5978 | + | 12.7856i | 0.581448 | + | 0.422447i | ||||
\(917\) | −35.1830 | + | 41.8664i | −1.16185 | + | 1.38255i | ||||
\(918\) | 3.32695 | 0.109806 | ||||||||
\(919\) | 10.0970 | − | 11.2139i | 0.333069 | − | 0.369911i | −0.553226 | − | 0.833031i | \(-0.686603\pi\) |
0.886296 | + | 0.463120i | \(0.153270\pi\) | |||||||
\(920\) | 17.9287 | − | 2.73308i | 0.591090 | − | 0.0901069i | ||||
\(921\) | −13.5518 | − | 15.0508i | −0.446546 | − | 0.495939i | ||||
\(922\) | −28.0357 | + | 5.95917i | −0.923306 | + | 0.196255i | ||||
\(923\) | −27.7242 | + | 20.1428i | −0.912552 | + | 0.663008i | ||||
\(924\) | −41.6115 | + | 1.42222i | −1.36892 | + | 0.0467876i | ||||
\(925\) | −8.88719 | − | 20.6011i | −0.292209 | − | 0.677359i | ||||
\(926\) | 18.3249 | + | 31.7396i | 0.602193 | + | 1.04303i | ||||
\(927\) | −2.60138 | − | 24.7505i | −0.0854406 | − | 0.812913i | ||||
\(928\) | −54.3284 | − | 60.3378i | −1.78342 | − | 1.98069i | ||||
\(929\) | −21.3872 | + | 4.54599i | −0.701691 | + | 0.149149i | −0.544923 | − | 0.838486i | \(-0.683441\pi\) |
−0.156768 | + | 0.987635i | \(0.550108\pi\) | |||||||
\(930\) | 55.1003 | − | 20.7850i | 1.80681 | − | 0.681567i | ||||
\(931\) | 15.8709 | − | 20.2518i | 0.520147 | − | 0.663727i | ||||
\(932\) | −3.43726 | −0.112591 | ||||||||
\(933\) | 35.9457 | − | 39.9217i | 1.17681 | − | 1.30698i | ||||
\(934\) | 49.9701 | − | 22.2481i | 1.63507 | − | 0.727980i | ||||
\(935\) | −6.67436 | + | 1.01745i | −0.218275 | + | 0.0332742i | ||||
\(936\) | 7.28924 | + | 3.24538i | 0.238256 | + | 0.106078i | ||||
\(937\) | 37.2038 | + | 27.0301i | 1.21539 | + | 0.883035i | 0.995709 | − | 0.0925358i | \(-0.0294972\pi\) |
0.219684 | + | 0.975571i | \(0.429497\pi\) | |||||||
\(938\) | −16.0056 | − | 10.8132i | −0.522602 | − | 0.353064i | ||||
\(939\) | 14.0589 | − | 10.2144i | 0.458795 | − | 0.333334i | ||||
\(940\) | 10.6545 | − | 27.2816i | 0.347510 | − | 0.889828i | ||||
\(941\) | 36.2375 | − | 16.1340i | 1.18131 | − | 0.525952i | 0.280366 | − | 0.959893i | \(-0.409544\pi\) |
0.900941 | + | 0.433941i | \(0.142877\pi\) | |||||||
\(942\) | 55.7815 | + | 11.8567i | 1.81746 | + | 0.386313i | ||||
\(943\) | 13.6909 | + | 23.7133i | 0.445836 | + | 0.772211i | ||||
\(944\) | 0.623830 | + | 1.91995i | 0.0203039 | + | 0.0624891i | ||||
\(945\) | 6.52988 | + | 4.98794i | 0.212417 | + | 0.162258i | ||||
\(946\) | 14.9282 | − | 45.9444i | 0.485359 | − | 1.49378i | ||||
\(947\) | −9.13669 | + | 1.94206i | −0.296903 | + | 0.0631086i | −0.353955 | − | 0.935263i | \(-0.615163\pi\) |
0.0570520 | + | 0.998371i | \(0.481830\pi\) | |||||||
\(948\) | 2.60078 | + | 24.7448i | 0.0844695 | + | 0.803674i | ||||
\(949\) | −14.4597 | + | 25.0449i | −0.469380 | + | 0.812991i | ||||
\(950\) | 23.3448 | − | 31.3596i | 0.757407 | − | 1.01744i | ||||
\(951\) | −66.9207 | −2.17005 | ||||||||
\(952\) | 0.460640 | + | 3.29535i | 0.0149294 | + | 0.106803i | ||||
\(953\) | 6.95267 | − | 21.3981i | 0.225219 | − | 0.693153i | −0.773050 | − | 0.634345i | \(-0.781270\pi\) |
0.998269 | − | 0.0588083i | \(-0.0187301\pi\) | |||||||
\(954\) | 11.9040 | − | 2.53027i | 0.385406 | − | 0.0819206i | ||||
\(955\) | −21.6175 | + | 3.29541i | −0.699526 | + | 0.106637i | ||||
\(956\) | −48.0584 | − | 10.2151i | −1.55432 | − | 0.330381i | ||||
\(957\) | 31.9358 | + | 55.3144i | 1.03234 | + | 1.78806i | ||||
\(958\) | −17.9166 | − | 55.1416i | −0.578859 | − | 1.78154i | ||||
\(959\) | 16.1361 | − | 7.85528i | 0.521061 | − | 0.253660i | ||||
\(960\) | −2.78272 | − | 59.7264i | −0.0898118 | − | 1.92766i | ||||
\(961\) | −2.39990 | − | 1.06850i | −0.0774160 | − | 0.0344678i | ||||
\(962\) | 25.9313 | − | 11.5454i | 0.836058 | − | 0.372237i | ||||
\(963\) | 0.926510 | − | 0.412509i | 0.0298564 | − | 0.0132929i | ||||
\(964\) | 30.1409 | + | 13.4196i | 0.970773 | + | 0.432216i | ||||
\(965\) | 35.3416 | + | 9.68990i | 1.13769 | + | 0.311929i | ||||
\(966\) | 6.69689 | − | 94.7604i | 0.215469 | − | 3.04886i | ||||
\(967\) | −2.23537 | − | 6.87975i | −0.0718845 | − | 0.221238i | 0.908659 | − | 0.417538i | \(-0.137107\pi\) |
−0.980544 | + | 0.196301i | \(0.937107\pi\) | |||||||
\(968\) | −2.12776 | − | 3.68540i | −0.0683889 | − | 0.118453i | ||||
\(969\) | −9.41010 | − | 2.00018i | −0.302296 | − | 0.0642550i | ||||
\(970\) | −11.2597 | − | 5.81964i | −0.361527 | − | 0.186857i | ||||
\(971\) | 22.0370 | − | 4.68410i | 0.707200 | − | 0.150320i | 0.159749 | − | 0.987158i | \(-0.448932\pi\) |
0.547451 | + | 0.836838i | \(0.315598\pi\) | |||||||
\(972\) | 15.6749 | − | 48.2424i | 0.502773 | − | 1.54737i | ||||
\(973\) | 14.1305 | − | 11.0231i | 0.453003 | − | 0.353385i | ||||
\(974\) | −26.8206 | −0.859389 | ||||||||
\(975\) | 19.9877 | + | 28.1931i | 0.640120 | + | 0.902900i | ||||
\(976\) | 0.639901 | − | 1.10834i | 0.0204827 | − | 0.0354771i | ||||
\(977\) | 2.00638 | + | 19.0894i | 0.0641898 | + | 0.610726i | 0.978576 | + | 0.205884i | \(0.0660068\pi\) |
−0.914387 | + | 0.404842i | \(0.867327\pi\) | |||||||
\(978\) | −45.6239 | + | 9.69765i | −1.45889 | + | 0.310097i | ||||
\(979\) | 6.74492 | − | 20.7587i | 0.215569 | − | 0.663452i | ||||
\(980\) | −19.4125 | + | 34.4271i | −0.620108 | + | 1.09973i | ||||
\(981\) | 0.0745833 | + | 0.229544i | 0.00238126 | + | 0.00732877i | ||||
\(982\) | −30.1069 | − | 52.1467i | −0.960750 | − | 1.66407i | ||||
\(983\) | 11.9221 | + | 2.53411i | 0.380255 | + | 0.0808256i | 0.394074 | − | 0.919079i | \(-0.371066\pi\) |
−0.0138189 | + | 0.999905i | \(0.504399\pi\) | |||||||
\(984\) | −8.94191 | + | 3.98119i | −0.285058 | + | 0.126916i | ||||
\(985\) | 15.7976 | + | 0.919860i | 0.503352 | + | 0.0293092i | ||||
\(986\) | 19.8601 | − | 14.4292i | 0.632474 | − | 0.459520i | ||||
\(987\) | −26.4328 | − | 17.8577i | −0.841364 | − | 0.568416i | ||||
\(988\) | 22.3288 | + | 16.2228i | 0.710374 | + | 0.516117i | ||||
\(989\) | 56.1880 | + | 25.0165i | 1.78667 | + | 0.795478i | ||||
\(990\) | −4.96884 | + | 30.2355i | −0.157920 | + | 0.960948i | ||||
\(991\) | 10.2062 | − | 4.54408i | 0.324210 | − | 0.144347i | −0.238177 | − | 0.971222i | \(-0.576550\pi\) |
0.562387 | + | 0.826874i | \(0.309883\pi\) | |||||||
\(992\) | 28.2373 | − | 31.3607i | 0.896536 | − | 0.995704i | ||||
\(993\) | −9.38293 | −0.297758 | ||||||||
\(994\) | −41.7263 | + | 49.6526i | −1.32348 | + | 1.57489i | ||||
\(995\) | 15.7141 | + | 4.30845i | 0.498170 | + | 0.136587i | ||||
\(996\) | −79.9265 | + | 16.9889i | −2.53257 | + | 0.538314i | ||||
\(997\) | 12.4313 | + | 13.8064i | 0.393704 | + | 0.437252i | 0.907110 | − | 0.420893i | \(-0.138283\pi\) |
−0.513406 | + | 0.858146i | \(0.671617\pi\) | |||||||
\(998\) | 5.78939 | + | 55.0824i | 0.183260 | + | 1.74360i | ||||
\(999\) | −3.11623 | − | 5.39747i | −0.0985931 | − | 0.170768i |
(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.q.a.11.4 | ✓ | 144 | |
5.2 | odd | 4 | 875.2.u.b.74.31 | 288 | |||
5.3 | odd | 4 | 875.2.u.b.74.6 | 288 | |||
5.4 | even | 2 | 875.2.q.a.676.15 | 144 | |||
7.2 | even | 3 | inner | 175.2.q.a.86.15 | yes | 144 | |
25.9 | even | 10 | 875.2.q.a.326.4 | 144 | |||
25.12 | odd | 20 | 875.2.u.b.424.31 | 288 | |||
25.13 | odd | 20 | 875.2.u.b.424.6 | 288 | |||
25.16 | even | 5 | inner | 175.2.q.a.116.15 | yes | 144 | |
35.2 | odd | 12 | 875.2.u.b.324.6 | 288 | |||
35.9 | even | 6 | 875.2.q.a.51.4 | 144 | |||
35.23 | odd | 12 | 875.2.u.b.324.31 | 288 | |||
175.9 | even | 30 | 875.2.q.a.576.15 | 144 | |||
175.16 | even | 15 | inner | 175.2.q.a.16.4 | yes | 144 | |
175.37 | odd | 60 | 875.2.u.b.674.6 | 288 | |||
175.163 | odd | 60 | 875.2.u.b.674.31 | 288 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
175.2.q.a.11.4 | ✓ | 144 | 1.1 | even | 1 | trivial | |
175.2.q.a.16.4 | yes | 144 | 175.16 | even | 15 | inner | |
175.2.q.a.86.15 | yes | 144 | 7.2 | even | 3 | inner | |
175.2.q.a.116.15 | yes | 144 | 25.16 | even | 5 | inner | |
875.2.q.a.51.4 | 144 | 35.9 | even | 6 | |||
875.2.q.a.326.4 | 144 | 25.9 | even | 10 | |||
875.2.q.a.576.15 | 144 | 175.9 | even | 30 | |||
875.2.q.a.676.15 | 144 | 5.4 | even | 2 | |||
875.2.u.b.74.6 | 288 | 5.3 | odd | 4 | |||
875.2.u.b.74.31 | 288 | 5.2 | odd | 4 | |||
875.2.u.b.324.6 | 288 | 35.2 | odd | 12 | |||
875.2.u.b.324.31 | 288 | 35.23 | odd | 12 | |||
875.2.u.b.424.6 | 288 | 25.13 | odd | 20 | |||
875.2.u.b.424.31 | 288 | 25.12 | odd | 20 | |||
875.2.u.b.674.6 | 288 | 175.37 | odd | 60 | |||
875.2.u.b.674.31 | 288 | 175.163 | odd | 60 |