Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [403,2,Mod(57,403)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(403, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([9, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("403.57");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 403 = 13 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 403.be (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.21797120146\) |
Analytic rank: | \(0\) |
Dimension: | \(136\) |
Relative dimension: | \(34\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 57.15 | ||
Character | \(\chi\) | \(=\) | 403.57 |
Dual form | 403.2.be.c.99.15 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).
\(n\) | \(249\) | \(313\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{1}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.456690 | + | 0.456690i | −0.322929 | + | 0.322929i | −0.849890 | − | 0.526961i | \(-0.823331\pi\) |
0.526961 | + | 0.849890i | \(0.323331\pi\) | |||||||
\(3\) | −0.104092 | − | 0.0600978i | −0.0600978 | − | 0.0346975i | 0.469650 | − | 0.882853i | \(-0.344380\pi\) |
−0.529748 | + | 0.848155i | \(0.677713\pi\) | |||||||
\(4\) | 1.58287i | 0.791434i | ||||||||
\(5\) | −2.27787 | − | 0.610354i | −1.01870 | − | 0.272959i | −0.289437 | − | 0.957197i | \(-0.593468\pi\) |
−0.729258 | + | 0.684238i | \(0.760135\pi\) | |||||||
\(6\) | 0.0749841 | − | 0.0200919i | 0.0306121 | − | 0.00820249i | ||||
\(7\) | 0.192857 | − | 0.0516759i | 0.0728931 | − | 0.0195316i | −0.222188 | − | 0.975004i | \(-0.571320\pi\) |
0.295081 | + | 0.955472i | \(0.404653\pi\) | |||||||
\(8\) | −1.63626 | − | 1.63626i | −0.578505 | − | 0.578505i | ||||
\(9\) | −1.49278 | − | 2.58556i | −0.497592 | − | 0.861855i | ||||
\(10\) | 1.31902 | − | 0.761539i | 0.417112 | − | 0.240820i | ||||
\(11\) | 1.82540 | + | 0.489114i | 0.550378 | + | 0.147473i | 0.523282 | − | 0.852159i | \(-0.324707\pi\) |
0.0270960 | + | 0.999633i | \(0.491374\pi\) | |||||||
\(12\) | 0.0951270 | − | 0.164765i | 0.0274608 | − | 0.0475635i | ||||
\(13\) | −3.59234 | − | 0.308363i | −0.996336 | − | 0.0855246i | ||||
\(14\) | −0.0644760 | + | 0.111676i | −0.0172319 | + | 0.0298466i | ||||
\(15\) | 0.200428 | + | 0.200428i | 0.0517504 | + | 0.0517504i | ||||
\(16\) | −1.67121 | −0.417802 | ||||||||
\(17\) | 1.39894 | − | 2.42303i | 0.339293 | − | 0.587672i | −0.645007 | − | 0.764177i | \(-0.723146\pi\) |
0.984300 | + | 0.176504i | \(0.0564789\pi\) | |||||||
\(18\) | 1.86254 | + | 0.499065i | 0.439004 | + | 0.117631i | ||||
\(19\) | −1.43002 | − | 5.33690i | −0.328069 | − | 1.22437i | −0.911191 | − | 0.411985i | \(-0.864836\pi\) |
0.583122 | − | 0.812385i | \(-0.301831\pi\) | |||||||
\(20\) | 0.966110 | − | 3.60557i | 0.216029 | − | 0.806231i | ||||
\(21\) | −0.0231806 | − | 0.00621122i | −0.00505842 | − | 0.00135540i | ||||
\(22\) | −1.05701 | + | 0.610268i | −0.225356 | + | 0.130109i | ||||
\(23\) | 3.33646 | 0.695699 | 0.347850 | − | 0.937550i | \(-0.386912\pi\) | ||||
0.347850 | + | 0.937550i | \(0.386912\pi\) | |||||||
\(24\) | 0.0719867 | + | 0.268658i | 0.0146942 | + | 0.0548396i | ||||
\(25\) | 0.486043 | + | 0.280617i | 0.0972087 | + | 0.0561235i | ||||
\(26\) | 1.78141 | − | 1.49976i | 0.349364 | − | 0.294127i | ||||
\(27\) | 0.719438i | 0.138456i | ||||||||
\(28\) | 0.0817961 | + | 0.305267i | 0.0154580 | + | 0.0576901i | ||||
\(29\) | − | 4.13866i | − | 0.768531i | −0.923223 | − | 0.384265i | \(-0.874455\pi\) | ||
0.923223 | − | 0.384265i | \(-0.125545\pi\) | |||||||
\(30\) | −0.183067 | −0.0334234 | ||||||||
\(31\) | −0.888570 | + | 5.49640i | −0.159592 | + | 0.987183i | ||||
\(32\) | 4.03575 | − | 4.03575i | 0.713426 | − | 0.713426i | ||||
\(33\) | −0.160616 | − | 0.160616i | −0.0279596 | − | 0.0279596i | ||||
\(34\) | 0.467694 | + | 1.74546i | 0.0802089 | + | 0.299344i | ||||
\(35\) | −0.470844 | −0.0795872 | ||||||||
\(36\) | 4.09261 | − | 2.36287i | 0.682101 | − | 0.393811i | ||||
\(37\) | −1.75787 | − | 6.56044i | −0.288991 | − | 1.07853i | −0.945873 | − | 0.324537i | \(-0.894792\pi\) |
0.656882 | − | 0.753994i | \(-0.271875\pi\) | |||||||
\(38\) | 3.09039 | + | 1.78423i | 0.501327 | + | 0.289441i | ||||
\(39\) | 0.355404 | + | 0.247990i | 0.0569101 | + | 0.0397102i | ||||
\(40\) | 2.72849 | + | 4.72589i | 0.431413 | + | 0.747229i | ||||
\(41\) | −9.65163 | − | 2.58615i | −1.50733 | − | 0.403888i | −0.591784 | − | 0.806097i | \(-0.701576\pi\) |
−0.915548 | + | 0.402208i | \(0.868243\pi\) | |||||||
\(42\) | 0.0134229 | − | 0.00774974i | 0.00207120 | − | 0.00119581i | ||||
\(43\) | −5.53621 | + | 9.58899i | −0.844264 | + | 1.46231i | 0.0419958 | + | 0.999118i | \(0.486628\pi\) |
−0.886259 | + | 0.463189i | \(0.846705\pi\) | |||||||
\(44\) | −0.774203 | + | 2.88936i | −0.116715 | + | 0.435588i | ||||
\(45\) | 1.82224 | + | 6.80071i | 0.271644 | + | 1.01379i | ||||
\(46\) | −1.52373 | + | 1.52373i | −0.224661 | + | 0.224661i | ||||
\(47\) | −6.37047 | − | 6.37047i | −0.929229 | − | 0.929229i | 0.0684273 | − | 0.997656i | \(-0.478202\pi\) |
−0.997656 | + | 0.0684273i | \(0.978202\pi\) | |||||||
\(48\) | 0.173960 | + | 0.100436i | 0.0251090 | + | 0.0144967i | ||||
\(49\) | −6.02765 | + | 3.48007i | −0.861093 | + | 0.497153i | ||||
\(50\) | −0.350126 | + | 0.0938161i | −0.0495153 | + | 0.0132676i | ||||
\(51\) | −0.291238 | + | 0.168147i | −0.0407815 | + | 0.0235452i | ||||
\(52\) | 0.488099 | − | 5.68620i | 0.0676871 | − | 0.788534i | ||||
\(53\) | 11.2205 | − | 6.47815i | 1.54125 | − | 0.889843i | 0.542493 | − | 0.840060i | \(-0.317480\pi\) |
0.998760 | − | 0.0497826i | \(-0.0158529\pi\) | |||||||
\(54\) | −0.328560 | − | 0.328560i | −0.0447113 | − | 0.0447113i | ||||
\(55\) | −3.85949 | − | 2.22828i | −0.520414 | − | 0.300461i | ||||
\(56\) | −0.400119 | − | 0.231009i | −0.0534682 | − | 0.0308699i | ||||
\(57\) | −0.171882 | + | 0.641472i | −0.0227663 | + | 0.0849651i | ||||
\(58\) | 1.89009 | + | 1.89009i | 0.248181 | + | 0.248181i | ||||
\(59\) | 9.23118 | − | 2.47349i | 1.20180 | − | 0.322021i | 0.398259 | − | 0.917273i | \(-0.369615\pi\) |
0.803539 | + | 0.595252i | \(0.202948\pi\) | |||||||
\(60\) | −0.317252 | + | 0.317252i | −0.0409570 | + | 0.0409570i | ||||
\(61\) | 11.0436i | 1.41398i | 0.707221 | + | 0.706992i | \(0.249948\pi\) | ||||
−0.707221 | + | 0.706992i | \(0.750052\pi\) | |||||||
\(62\) | −2.10435 | − | 2.91595i | −0.267253 | − | 0.370326i | ||||
\(63\) | −0.421504 | − | 0.421504i | −0.0531045 | − | 0.0531045i | ||||
\(64\) | 0.343750i | 0.0429687i | ||||||||
\(65\) | 7.99468 | + | 2.89501i | 0.991618 | + | 0.359082i | ||||
\(66\) | 0.146703 | 0.0180579 | ||||||||
\(67\) | −3.34286 | − | 0.895718i | −0.408396 | − | 0.109429i | 0.0487717 | − | 0.998810i | \(-0.484469\pi\) |
−0.457167 | + | 0.889381i | \(0.651136\pi\) | |||||||
\(68\) | 3.83535 | + | 2.21434i | 0.465104 | + | 0.268528i | ||||
\(69\) | −0.347300 | − | 0.200514i | −0.0418100 | − | 0.0241390i | ||||
\(70\) | 0.215030 | − | 0.215030i | 0.0257010 | − | 0.0257010i | ||||
\(71\) | −7.48542 | − | 2.00571i | −0.888356 | − | 0.238034i | −0.214347 | − | 0.976757i | \(-0.568762\pi\) |
−0.674009 | + | 0.738723i | \(0.735429\pi\) | |||||||
\(72\) | −1.78809 | + | 6.67323i | −0.210728 | + | 0.786447i | ||||
\(73\) | −9.30131 | − | 2.49228i | −1.08864 | − | 0.291699i | −0.330507 | − | 0.943804i | \(-0.607220\pi\) |
−0.758129 | + | 0.652105i | \(0.773886\pi\) | |||||||
\(74\) | 3.79889 | + | 2.19329i | 0.441612 | + | 0.254965i | ||||
\(75\) | −0.0337290 | − | 0.0584203i | −0.00389469 | − | 0.00674580i | ||||
\(76\) | 8.44761 | − | 2.26353i | 0.969008 | − | 0.259645i | ||||
\(77\) | 0.377316 | 0.0429992 | ||||||||
\(78\) | −0.275564 | + | 0.0490547i | −0.0312015 | + | 0.00555435i | ||||
\(79\) | 12.9733 | + | 7.49013i | 1.45961 | + | 0.842706i | 0.998992 | − | 0.0448926i | \(-0.0142946\pi\) |
0.460618 | + | 0.887599i | \(0.347628\pi\) | |||||||
\(80\) | 3.80680 | + | 1.02003i | 0.425613 | + | 0.114043i | ||||
\(81\) | −4.43509 | + | 7.68181i | −0.492788 | + | 0.853534i | ||||
\(82\) | 5.58887 | − | 3.22674i | 0.617188 | − | 0.356333i | ||||
\(83\) | −0.422720 | + | 1.57761i | −0.0463995 | + | 0.173165i | −0.985237 | − | 0.171194i | \(-0.945237\pi\) |
0.938838 | + | 0.344360i | \(0.111904\pi\) | |||||||
\(84\) | 0.00983154 | − | 0.0366918i | 0.00107271 | − | 0.00400340i | ||||
\(85\) | −4.66552 | + | 4.66552i | −0.506046 | + | 0.506046i | ||||
\(86\) | −1.85087 | − | 6.90753i | −0.199584 | − | 0.744858i | ||||
\(87\) | −0.248725 | + | 0.430804i | −0.0266661 | + | 0.0461870i | ||||
\(88\) | −2.18651 | − | 3.78714i | −0.233083 | − | 0.403711i | ||||
\(89\) | −11.7980 | + | 11.7980i | −1.25059 | + | 1.25059i | −0.295128 | + | 0.955458i | \(0.595362\pi\) |
−0.955458 | + | 0.295128i | \(0.904638\pi\) | |||||||
\(90\) | −3.93802 | − | 2.27361i | −0.415103 | − | 0.239660i | ||||
\(91\) | −0.708743 | + | 0.126167i | −0.0742965 | + | 0.0132259i | ||||
\(92\) | 5.28117i | 0.550600i | ||||||||
\(93\) | 0.422815 | − | 0.518733i | 0.0438439 | − | 0.0537901i | ||||
\(94\) | 5.81866 | 0.600149 | ||||||||
\(95\) | 13.0296i | 1.33681i | ||||||||
\(96\) | −0.662630 | + | 0.177551i | −0.0676294 | + | 0.0181212i | ||||
\(97\) | 0.246423 | − | 0.246423i | 0.0250204 | − | 0.0250204i | −0.694486 | − | 0.719506i | \(-0.744368\pi\) |
0.719506 | + | 0.694486i | \(0.244368\pi\) | |||||||
\(98\) | 1.16346 | − | 4.34208i | 0.117527 | − | 0.438616i | ||||
\(99\) | −1.46028 | − | 5.44982i | −0.146763 | − | 0.547728i | ||||
\(100\) | −0.444180 | + | 0.769343i | −0.0444180 | + | 0.0769343i | ||||
\(101\) | 13.0984i | 1.30334i | 0.758503 | + | 0.651670i | \(0.225931\pi\) | ||||
−0.758503 | + | 0.651670i | \(0.774069\pi\) | |||||||
\(102\) | 0.0562148 | − | 0.209796i | 0.00556609 | − | 0.0207729i | ||||
\(103\) | 0.0867455 | − | 0.0500826i | 0.00854729 | − | 0.00493478i | −0.495720 | − | 0.868482i | \(-0.665096\pi\) |
0.504268 | + | 0.863547i | \(0.331763\pi\) | |||||||
\(104\) | 5.37344 | + | 6.38257i | 0.526909 | + | 0.625862i | ||||
\(105\) | 0.0490114 | + | 0.0282967i | 0.00478302 | + | 0.00276148i | ||||
\(106\) | −2.16578 | + | 8.08279i | −0.210359 | + | 0.785070i | ||||
\(107\) | 6.44661 | − | 11.1659i | 0.623217 | − | 1.07944i | −0.365665 | − | 0.930746i | \(-0.619158\pi\) |
0.988883 | − | 0.148698i | \(-0.0475082\pi\) | |||||||
\(108\) | −1.13877 | −0.109579 | ||||||||
\(109\) | 10.8438 | − | 10.8438i | 1.03865 | − | 1.03865i | 0.0394240 | − | 0.999223i | \(-0.487448\pi\) |
0.999223 | − | 0.0394240i | \(-0.0125523\pi\) | |||||||
\(110\) | 2.78022 | − | 0.744959i | 0.265084 | − | 0.0710290i | ||||
\(111\) | −0.211288 | + | 0.788537i | −0.0200545 | + | 0.0748446i | ||||
\(112\) | −0.322304 | + | 0.0863612i | −0.0304549 | + | 0.00816037i | ||||
\(113\) | −5.27413 | − | 9.13505i | −0.496148 | − | 0.859354i | 0.503842 | − | 0.863796i | \(-0.331919\pi\) |
−0.999990 | + | 0.00444219i | \(0.998586\pi\) | |||||||
\(114\) | −0.214457 | − | 0.371451i | −0.0200858 | − | 0.0347896i | ||||
\(115\) | −7.60002 | − | 2.03642i | −0.708706 | − | 0.189897i | ||||
\(116\) | 6.55096 | 0.608241 | ||||||||
\(117\) | 4.56527 | + | 9.74855i | 0.422059 | + | 0.901254i | ||||
\(118\) | −3.08617 | + | 5.34541i | −0.284105 | + | 0.492084i | ||||
\(119\) | 0.144583 | − | 0.539591i | 0.0132539 | − | 0.0494642i | ||||
\(120\) | − | 0.655906i | − | 0.0598758i | ||||||
\(121\) | −6.43343 | − | 3.71434i | −0.584858 | − | 0.337668i | ||||
\(122\) | −5.04349 | − | 5.04349i | −0.456616 | − | 0.456616i | ||||
\(123\) | 0.849241 | + | 0.849241i | 0.0765735 | + | 0.0765735i | ||||
\(124\) | −8.70008 | − | 1.40649i | −0.781291 | − | 0.126306i | ||||
\(125\) | 7.40172 | + | 7.40172i | 0.662030 | + | 0.662030i | ||||
\(126\) | 0.384993 | 0.0342979 | ||||||||
\(127\) | −5.95459 | + | 10.3137i | −0.528385 | + | 0.915189i | 0.471068 | + | 0.882097i | \(0.343869\pi\) |
−0.999452 | + | 0.0330919i | \(0.989465\pi\) | |||||||
\(128\) | 7.91450 | + | 7.91450i | 0.699550 | + | 0.699550i | ||||
\(129\) | 1.15256 | − | 0.665428i | 0.101477 | − | 0.0585877i | ||||
\(130\) | −4.97321 | + | 2.32897i | −0.436180 | + | 0.204264i | ||||
\(131\) | −3.12752 | + | 5.41703i | −0.273253 | + | 0.473288i | −0.969693 | − | 0.244327i | \(-0.921433\pi\) |
0.696440 | + | 0.717615i | \(0.254766\pi\) | |||||||
\(132\) | 0.254233 | − | 0.254233i | 0.0221282 | − | 0.0221282i | ||||
\(133\) | −0.551578 | − | 0.955362i | −0.0478279 | − | 0.0828404i | ||||
\(134\) | 1.93572 | − | 1.11759i | 0.167221 | − | 0.0965448i | ||||
\(135\) | 0.439112 | − | 1.63879i | 0.0377927 | − | 0.141044i | ||||
\(136\) | −6.25375 | + | 1.67569i | −0.536254 | + | 0.143689i | ||||
\(137\) | 4.75957 | + | 1.27532i | 0.406637 | + | 0.108958i | 0.456339 | − | 0.889806i | \(-0.349160\pi\) |
−0.0497017 | + | 0.998764i | \(0.515827\pi\) | |||||||
\(138\) | 0.250181 | − | 0.0670358i | 0.0212968 | − | 0.00570647i | ||||
\(139\) | − | 10.0724i | − | 0.854331i | −0.904174 | − | 0.427165i | \(-0.859512\pi\) | ||
0.904174 | − | 0.427165i | \(-0.140488\pi\) | |||||||
\(140\) | − | 0.745285i | − | 0.0629880i | ||||||
\(141\) | 0.280267 | + | 1.04597i | 0.0236027 | + | 0.0880865i | ||||
\(142\) | 4.33451 | − | 2.50253i | 0.363744 | − | 0.210008i | ||||
\(143\) | −6.40663 | − | 2.31995i | −0.535749 | − | 0.194004i | ||||
\(144\) | 2.49474 | + | 4.32102i | 0.207895 | + | 0.360085i | ||||
\(145\) | −2.52605 | + | 9.42735i | −0.209777 | + | 0.782899i | ||||
\(146\) | 5.38601 | − | 3.10962i | 0.445750 | − | 0.257354i | ||||
\(147\) | 0.836578 | 0.0689998 | ||||||||
\(148\) | 10.3843 | − | 2.78247i | 0.853586 | − | 0.228718i | ||||
\(149\) | 3.64820 | + | 13.6153i | 0.298872 | + | 1.11541i | 0.938093 | + | 0.346384i | \(0.112590\pi\) |
−0.639221 | + | 0.769023i | \(0.720743\pi\) | |||||||
\(150\) | 0.0420837 | + | 0.0112763i | 0.00343612 | + | 0.000920705i | ||||
\(151\) | 6.17718 | − | 6.17718i | 0.502692 | − | 0.502692i | −0.409581 | − | 0.912274i | \(-0.634325\pi\) |
0.912274 | + | 0.409581i | \(0.134325\pi\) | |||||||
\(152\) | −6.39268 | + | 11.0724i | −0.518515 | + | 0.898094i | ||||
\(153\) | −8.35322 | −0.675318 | ||||||||
\(154\) | −0.172317 | + | 0.172317i | −0.0138857 | + | 0.0138857i | ||||
\(155\) | 5.37880 | − | 11.9778i | 0.432036 | − | 0.962077i | ||||
\(156\) | −0.392536 | + | 0.562557i | −0.0314280 | + | 0.0450406i | ||||
\(157\) | 22.4175 | 1.78911 | 0.894555 | − | 0.446958i | \(-0.147493\pi\) | ||||
0.894555 | + | 0.446958i | \(0.147493\pi\) | |||||||
\(158\) | −9.34544 | + | 2.50410i | −0.743484 | + | 0.199216i | ||||
\(159\) | −1.55729 | −0.123501 | ||||||||
\(160\) | −11.6561 | + | 6.72968i | −0.921499 | + | 0.532028i | ||||
\(161\) | 0.643459 | − | 0.172414i | 0.0507117 | − | 0.0135882i | ||||
\(162\) | −1.48274 | − | 5.53367i | −0.116495 | − | 0.434766i | ||||
\(163\) | −16.3270 | − | 16.3270i | −1.27883 | − | 1.27883i | −0.941321 | − | 0.337511i | \(-0.890415\pi\) |
−0.337511 | − | 0.941321i | \(-0.609585\pi\) | |||||||
\(164\) | 4.09353 | − | 15.2773i | 0.319651 | − | 1.19295i | ||||
\(165\) | 0.267829 | + | 0.463894i | 0.0208505 | + | 0.0361141i | ||||
\(166\) | −0.527428 | − | 0.913531i | −0.0409363 | − | 0.0709038i | ||||
\(167\) | −6.12790 | − | 22.8696i | −0.474191 | − | 1.76971i | −0.624457 | − | 0.781059i | \(-0.714680\pi\) |
0.150266 | − | 0.988646i | \(-0.451987\pi\) | |||||||
\(168\) | 0.0277663 | + | 0.0480926i | 0.00214222 | + | 0.00371043i | ||||
\(169\) | 12.8098 | + | 2.21549i | 0.985371 | + | 0.170423i | ||||
\(170\) | − | 4.26139i | − | 0.326834i | ||||||
\(171\) | −11.6642 | + | 11.6642i | −0.891984 | + | 0.891984i | ||||
\(172\) | −15.1781 | − | 8.76309i | −1.15732 | − | 0.668179i | ||||
\(173\) | 5.94946 | − | 3.43492i | 0.452329 | − | 0.261152i | −0.256484 | − | 0.966548i | \(-0.582564\pi\) |
0.708813 | + | 0.705396i | \(0.249231\pi\) | |||||||
\(174\) | −0.0831537 | − | 0.310334i | −0.00630387 | − | 0.0235264i | ||||
\(175\) | 0.108238 | + | 0.0290023i | 0.00818203 | + | 0.00219237i | ||||
\(176\) | −3.05062 | − | 0.817412i | −0.229949 | − | 0.0616147i | ||||
\(177\) | −1.10955 | − | 0.297302i | −0.0833987 | − | 0.0223466i | ||||
\(178\) | − | 10.7761i | − | 0.807700i | ||||||
\(179\) | 1.63095 | − | 2.82488i | 0.121903 | − | 0.211142i | −0.798615 | − | 0.601842i | \(-0.794434\pi\) |
0.920518 | + | 0.390700i | \(0.127767\pi\) | |||||||
\(180\) | −10.7646 | + | 2.88437i | −0.802348 | + | 0.214988i | ||||
\(181\) | −6.60523 | − | 11.4406i | −0.490963 | − | 0.850372i | 0.508983 | − | 0.860776i | \(-0.330022\pi\) |
−0.999946 | + | 0.0104041i | \(0.996688\pi\) | |||||||
\(182\) | 0.266057 | − | 0.381295i | 0.0197214 | − | 0.0282635i | ||||
\(183\) | 0.663695 | − | 1.14955i | 0.0490617 | − | 0.0849774i | ||||
\(184\) | −5.45931 | − | 5.45931i | −0.402466 | − | 0.402466i | ||||
\(185\) | 16.0168i | 1.17758i | ||||||||
\(186\) | 0.0438047 | + | 0.429996i | 0.00321192 | + | 0.0315288i | ||||
\(187\) | 3.73876 | − | 3.73876i | 0.273405 | − | 0.273405i | ||||
\(188\) | 10.0836 | − | 10.0836i | 0.735423 | − | 0.735423i | ||||
\(189\) | 0.0371776 | + | 0.138749i | 0.00270427 | + | 0.0100925i | ||||
\(190\) | −5.95049 | − | 5.95049i | −0.431694 | − | 0.431694i | ||||
\(191\) | −7.57445 | − | 13.1193i | −0.548068 | − | 0.949282i | −0.998407 | − | 0.0564243i | \(-0.982030\pi\) |
0.450339 | − | 0.892858i | \(-0.351303\pi\) | |||||||
\(192\) | 0.0206586 | − | 0.0357818i | 0.00149091 | − | 0.00258233i | ||||
\(193\) | 11.1283 | − | 2.98182i | 0.801032 | − | 0.214636i | 0.164995 | − | 0.986294i | \(-0.447239\pi\) |
0.636037 | + | 0.771659i | \(0.280573\pi\) | |||||||
\(194\) | 0.225077i | 0.0161596i | ||||||||
\(195\) | −0.658203 | − | 0.781812i | −0.0471349 | − | 0.0559867i | ||||
\(196\) | −5.50849 | − | 9.54098i | −0.393464 | − | 0.681499i | ||||
\(197\) | 3.70051 | − | 13.8105i | 0.263650 | − | 0.983955i | −0.699421 | − | 0.714710i | \(-0.746559\pi\) |
0.963071 | − | 0.269246i | \(-0.0867744\pi\) | |||||||
\(198\) | 3.15577 | + | 1.82199i | 0.224271 | + | 0.129483i | ||||
\(199\) | −1.56281 | − | 2.70687i | −0.110785 | − | 0.191885i | 0.805302 | − | 0.592865i | \(-0.202003\pi\) |
−0.916087 | + | 0.400980i | \(0.868670\pi\) | |||||||
\(200\) | −0.336131 | − | 1.25446i | −0.0237680 | − | 0.0887035i | ||||
\(201\) | 0.294136 | + | 0.294136i | 0.0207468 | + | 0.0207468i | ||||
\(202\) | −5.98191 | − | 5.98191i | −0.420886 | − | 0.420886i | ||||
\(203\) | −0.213869 | − | 0.798170i | −0.0150107 | − | 0.0560206i | ||||
\(204\) | −0.266154 | − | 0.460992i | −0.0186345 | − | 0.0322759i | ||||
\(205\) | 20.4067 | + | 11.7818i | 1.42527 | + | 0.822879i | ||||
\(206\) | −0.0167436 | + | 0.0624880i | −0.00116658 | + | 0.00435375i | ||||
\(207\) | −4.98058 | − | 8.62662i | −0.346174 | − | 0.599592i | ||||
\(208\) | 6.00355 | + | 0.515340i | 0.416272 | + | 0.0357324i | ||||
\(209\) | − | 10.4414i | − | 0.722248i | ||||||
\(210\) | −0.0353058 | + | 0.00946017i | −0.00243633 | + | 0.000652814i | ||||
\(211\) | −7.04403 | + | 12.2006i | −0.484931 | + | 0.839925i | −0.999850 | − | 0.0173139i | \(-0.994489\pi\) |
0.514919 | + | 0.857239i | \(0.327822\pi\) | |||||||
\(212\) | 10.2541 | + | 17.7606i | 0.704252 | + | 1.21980i | ||||
\(213\) | 0.658637 | + | 0.658637i | 0.0451291 | + | 0.0451291i | ||||
\(214\) | 2.15523 | + | 8.04344i | 0.147329 | + | 0.549838i | ||||
\(215\) | 18.4634 | − | 18.4634i | 1.25920 | − | 1.25920i | ||||
\(216\) | 1.17719 | − | 1.17719i | 0.0800974 | − | 0.0800974i | ||||
\(217\) | 0.112665 | + | 1.10594i | 0.00764817 | + | 0.0750759i | ||||
\(218\) | 9.90450i | 0.670817i | ||||||||
\(219\) | 0.818416 | + | 0.818416i | 0.0553034 | + | 0.0553034i | ||||
\(220\) | 3.52707 | − | 6.10907i | 0.237795 | − | 0.411873i | ||||
\(221\) | −5.77264 | + | 8.27298i | −0.388310 | + | 0.556501i | ||||
\(222\) | −0.263624 | − | 0.456610i | −0.0176933 | − | 0.0306456i | ||||
\(223\) | 5.92690 | − | 1.58811i | 0.396895 | − | 0.106348i | −0.0548506 | − | 0.998495i | \(-0.517468\pi\) |
0.451745 | + | 0.892147i | \(0.350802\pi\) | |||||||
\(224\) | 0.569771 | − | 0.986872i | 0.0380694 | − | 0.0659382i | ||||
\(225\) | − | 1.67560i | − | 0.111706i | ||||||
\(226\) | 6.58053 | + | 1.76325i | 0.437730 | + | 0.117289i | ||||
\(227\) | 1.74918 | + | 0.468692i | 0.116097 | + | 0.0311082i | 0.316400 | − | 0.948626i | \(-0.397526\pi\) |
−0.200303 | + | 0.979734i | \(0.564193\pi\) | |||||||
\(228\) | −1.01537 | − | 0.272067i | −0.0672443 | − | 0.0180181i | ||||
\(229\) | −1.53817 | − | 5.74053i | −0.101645 | − | 0.379345i | 0.896298 | − | 0.443453i | \(-0.146247\pi\) |
−0.997943 | + | 0.0641078i | \(0.979580\pi\) | |||||||
\(230\) | 4.40087 | − | 2.54084i | 0.290185 | − | 0.167538i | ||||
\(231\) | −0.0392758 | − | 0.0226759i | −0.00258416 | − | 0.00149196i | ||||
\(232\) | −6.77193 | + | 6.77193i | −0.444599 | + | 0.444599i | ||||
\(233\) | − | 8.86833i | − | 0.580984i | −0.956877 | − | 0.290492i | \(-0.906181\pi\) | ||
0.956877 | − | 0.290492i | \(-0.0938189\pi\) | |||||||
\(234\) | −6.53698 | − | 2.36715i | −0.427336 | − | 0.154746i | ||||
\(235\) | 10.6229 | + | 18.3994i | 0.692960 | + | 1.20024i | ||||
\(236\) | 3.91521 | + | 14.6117i | 0.254858 | + | 0.951144i | ||||
\(237\) | −0.900282 | − | 1.55933i | −0.0584796 | − | 0.101290i | ||||
\(238\) | 0.180396 | + | 0.312455i | 0.0116933 | + | 0.0202535i | ||||
\(239\) | 4.27389 | − | 15.9504i | 0.276455 | − | 1.03174i | −0.678405 | − | 0.734688i | \(-0.737328\pi\) |
0.954860 | − | 0.297056i | \(-0.0960049\pi\) | |||||||
\(240\) | −0.334958 | − | 0.334958i | −0.0216214 | − | 0.0216214i | ||||
\(241\) | 0.782289 | + | 2.91954i | 0.0503916 | + | 0.188064i | 0.986534 | − | 0.163558i | \(-0.0522970\pi\) |
−0.936142 | + | 0.351622i | \(0.885630\pi\) | |||||||
\(242\) | 4.63439 | − | 1.24178i | 0.297910 | − | 0.0798247i | ||||
\(243\) | 2.79247 | − | 1.61224i | 0.179137 | − | 0.103425i | ||||
\(244\) | −17.4805 | −1.11908 | ||||||||
\(245\) | 15.8543 | − | 4.24815i | 1.01289 | − | 0.271404i | ||||
\(246\) | −0.775680 | −0.0494555 | ||||||||
\(247\) | 3.49141 | + | 19.6129i | 0.222153 | + | 1.24794i | ||||
\(248\) | 10.4475 | − | 7.53961i | 0.663415 | − | 0.478766i | ||||
\(249\) | 0.138813 | − | 0.138813i | 0.00879692 | − | 0.00879692i | ||||
\(250\) | −6.76059 | −0.427577 | ||||||||
\(251\) | 0.0581265 | − | 0.100678i | 0.00366891 | − | 0.00635474i | −0.864185 | − | 0.503174i | \(-0.832165\pi\) |
0.867854 | + | 0.496819i | \(0.165499\pi\) | |||||||
\(252\) | 0.667185 | − | 0.667185i | 0.0420287 | − | 0.0420287i | ||||
\(253\) | 6.09036 | + | 1.63191i | 0.382898 | + | 0.102597i | ||||
\(254\) | −1.99074 | − | 7.42955i | −0.124910 | − | 0.466171i | ||||
\(255\) | 0.766033 | − | 0.205258i | 0.0479708 | − | 0.0128537i | ||||
\(256\) | −7.91645 | −0.494778 | ||||||||
\(257\) | −13.2831 | + | 7.66901i | −0.828578 | + | 0.478379i | −0.853365 | − | 0.521313i | \(-0.825442\pi\) |
0.0247879 | + | 0.999693i | \(0.492109\pi\) | |||||||
\(258\) | −0.222466 | + | 0.830255i | −0.0138501 | + | 0.0516894i | ||||
\(259\) | −0.678033 | − | 1.17439i | −0.0421309 | − | 0.0729729i | ||||
\(260\) | −4.58242 | + | 12.6545i | −0.284190 | + | 0.784801i | ||||
\(261\) | −10.7008 | + | 6.17810i | −0.662362 | + | 0.382415i | ||||
\(262\) | −1.04559 | − | 3.90221i | −0.0645971 | − | 0.241079i | ||||
\(263\) | − | 9.28290i | − | 0.572408i | −0.958169 | − | 0.286204i | \(-0.907607\pi\) | ||
0.958169 | − | 0.286204i | \(-0.0923935\pi\) | |||||||
\(264\) | 0.525618i | 0.0323495i | ||||||||
\(265\) | −29.5128 | + | 7.90794i | −1.81296 | + | 0.485781i | ||||
\(266\) | 0.688204 | + | 0.184404i | 0.0421965 | + | 0.0113065i | ||||
\(267\) | 1.93712 | − | 0.519049i | 0.118550 | − | 0.0317653i | ||||
\(268\) | 1.41780 | − | 5.29131i | 0.0866061 | − | 0.323218i | ||||
\(269\) | −3.39083 | + | 1.95770i | −0.206743 | + | 0.119363i | −0.599797 | − | 0.800152i | \(-0.704752\pi\) |
0.393054 | + | 0.919515i | \(0.371419\pi\) | |||||||
\(270\) | 0.547880 | + | 0.948955i | 0.0333429 | + | 0.0577516i | ||||
\(271\) | 9.33968 | − | 9.33968i | 0.567345 | − | 0.567345i | −0.364039 | − | 0.931384i | \(-0.618602\pi\) |
0.931384 | + | 0.364039i | \(0.118602\pi\) | |||||||
\(272\) | −2.33792 | + | 4.04940i | −0.141757 | + | 0.245531i | ||||
\(273\) | 0.0813572 | + | 0.0294609i | 0.00492396 | + | 0.00178305i | ||||
\(274\) | −2.75607 | + | 1.59122i | −0.166501 | + | 0.0961291i | ||||
\(275\) | 0.749969 | + | 0.749969i | 0.0452248 | + | 0.0452248i | ||||
\(276\) | 0.317387 | − | 0.549730i | 0.0191044 | − | 0.0330899i | ||||
\(277\) | −16.4346 | −0.987457 | −0.493728 | − | 0.869616i | \(-0.664366\pi\) | ||||
−0.493728 | + | 0.869616i | \(0.664366\pi\) | |||||||
\(278\) | 4.59997 | + | 4.59997i | 0.275888 | + | 0.275888i | ||||
\(279\) | 15.5377 | − | 5.90745i | 0.930220 | − | 0.353670i | ||||
\(280\) | 0.770424 | + | 0.770424i | 0.0460416 | + | 0.0460416i | ||||
\(281\) | 7.88765 | + | 7.88765i | 0.470538 | + | 0.470538i | 0.902089 | − | 0.431551i | \(-0.142033\pi\) |
−0.431551 | + | 0.902089i | \(0.642033\pi\) | |||||||
\(282\) | −0.605679 | − | 0.349689i | −0.0360677 | − | 0.0208237i | ||||
\(283\) | − | 12.2428i | − | 0.727761i | −0.931446 | − | 0.363881i | \(-0.881452\pi\) | ||
0.931446 | − | 0.363881i | \(-0.118548\pi\) | |||||||
\(284\) | 3.17478 | − | 11.8484i | 0.188389 | − | 0.703076i | ||||
\(285\) | 0.783051 | − | 1.35628i | 0.0463839 | − | 0.0803393i | ||||
\(286\) | 3.98534 | − | 1.86634i | 0.235658 | − | 0.110359i | ||||
\(287\) | −1.99503 | −0.117763 | ||||||||
\(288\) | −16.4591 | − | 4.41021i | −0.969864 | − | 0.259874i | ||||
\(289\) | 4.58593 | + | 7.94307i | 0.269761 | + | 0.467240i | ||||
\(290\) | −3.15175 | − | 5.45900i | −0.185077 | − | 0.320563i | ||||
\(291\) | −0.0404602 | + | 0.0108413i | −0.00237182 | + | 0.000635527i | ||||
\(292\) | 3.94495 | − | 14.7227i | 0.230861 | − | 0.861584i | ||||
\(293\) | −13.1603 | + | 3.52628i | −0.768831 | + | 0.206008i | −0.621855 | − | 0.783133i | \(-0.713621\pi\) |
−0.146976 | + | 0.989140i | \(0.546954\pi\) | |||||||
\(294\) | −0.382057 | + | 0.382057i | −0.0222820 | + | 0.0222820i | ||||
\(295\) | −22.5372 | −1.31216 | ||||||||
\(296\) | −7.85827 | + | 13.6109i | −0.456752 | + | 0.791118i | ||||
\(297\) | −0.351887 | + | 1.31326i | −0.0204185 | + | 0.0762031i | ||||
\(298\) | −7.88406 | − | 4.55186i | −0.456711 | − | 0.263682i | ||||
\(299\) | −11.9857 | − | 1.02884i | −0.693150 | − | 0.0594994i | ||||
\(300\) | 0.0924717 | − | 0.0533886i | 0.00533886 | − | 0.00308239i | ||||
\(301\) | −0.572177 | + | 2.13539i | −0.0329797 | + | 0.123082i | ||||
\(302\) | 5.64212i | 0.324667i | ||||||||
\(303\) | 0.787185 | − | 1.36344i | 0.0452226 | − | 0.0783279i | ||||
\(304\) | 2.38986 | + | 8.91908i | 0.137068 | + | 0.511544i | ||||
\(305\) | 6.74049 | − | 25.1558i | 0.385959 | − | 1.44042i | ||||
\(306\) | 3.81483 | − | 3.81483i | 0.218079 | − | 0.218079i | ||||
\(307\) | 7.68664 | − | 2.05963i | 0.438700 | − | 0.117549i | −0.0327073 | − | 0.999465i | \(-0.510413\pi\) |
0.471407 | + | 0.881916i | \(0.343746\pi\) | |||||||
\(308\) | 0.597242i | 0.0340310i | ||||||||
\(309\) | −0.0120394 | −0.000684898 | ||||||||
\(310\) | 3.01368 | + | 7.92657i | 0.171166 | + | 0.450199i | ||||
\(311\) | − | 5.89390i | − | 0.334212i | −0.985939 | − | 0.167106i | \(-0.946558\pi\) | ||
0.985939 | − | 0.167106i | \(-0.0534422\pi\) | |||||||
\(312\) | −0.175756 | − | 0.987310i | −0.00995025 | − | 0.0558954i | ||||
\(313\) | 19.0300 | + | 10.9870i | 1.07564 | + | 0.621020i | 0.929717 | − | 0.368276i | \(-0.120052\pi\) |
0.145922 | + | 0.989296i | \(0.453385\pi\) | |||||||
\(314\) | −10.2378 | + | 10.2378i | −0.577755 | + | 0.577755i | ||||
\(315\) | 0.702865 | + | 1.21740i | 0.0396020 | + | 0.0685926i | ||||
\(316\) | −11.8559 | + | 20.5350i | −0.666946 | + | 1.15519i | ||||
\(317\) | 2.53189 | + | 9.44913i | 0.142205 | + | 0.530716i | 0.999864 | + | 0.0164972i | \(0.00525145\pi\) |
−0.857659 | + | 0.514219i | \(0.828082\pi\) | |||||||
\(318\) | 0.711200 | − | 0.711200i | 0.0398821 | − | 0.0398821i | ||||
\(319\) | 2.02428 | − | 7.55471i | 0.113338 | − | 0.422982i | ||||
\(320\) | 0.209809 | − | 0.783018i | 0.0117287 | − | 0.0437720i | ||||
\(321\) | −1.34209 | + | 0.774855i | −0.0749080 | + | 0.0432482i | ||||
\(322\) | −0.215121 | + | 0.372601i | −0.0119882 | + | 0.0207643i | ||||
\(323\) | −14.9320 | − | 4.00102i | −0.830839 | − | 0.222623i | ||||
\(324\) | −12.1593 | − | 7.02017i | −0.675516 | − | 0.390009i | ||||
\(325\) | −1.65950 | − | 1.15795i | −0.0920526 | − | 0.0642316i | ||||
\(326\) | 14.9128 | 0.825943 | ||||||||
\(327\) | −1.78045 | + | 0.477069i | −0.0984588 | + | 0.0263820i | ||||
\(328\) | 11.5610 | + | 20.0242i | 0.638348 | + | 1.10565i | ||||
\(329\) | −1.55779 | − | 0.899390i | −0.0858837 | − | 0.0495850i | ||||
\(330\) | −0.334171 | − | 0.0895408i | −0.0183955 | − | 0.00492906i | ||||
\(331\) | −5.10713 | + | 19.0601i | −0.280713 | + | 1.04764i | 0.671202 | + | 0.741275i | \(0.265778\pi\) |
−0.951915 | + | 0.306362i | \(0.900888\pi\) | |||||||
\(332\) | −2.49715 | − | 0.669110i | −0.137049 | − | 0.0367222i | ||||
\(333\) | −14.3383 | + | 14.3383i | −0.785737 | + | 0.785737i | ||||
\(334\) | 13.2429 | + | 7.64578i | 0.724618 | + | 0.418359i | ||||
\(335\) | 7.06791 | + | 4.08066i | 0.386161 | + | 0.222950i | ||||
\(336\) | 0.0387396 | + | 0.0103802i | 0.00211342 | + | 0.000566289i | ||||
\(337\) | 14.7318 | 0.802491 | 0.401245 | − | 0.915971i | \(-0.368577\pi\) | ||||
0.401245 | + | 0.915971i | \(0.368577\pi\) | |||||||
\(338\) | −6.86191 | + | 4.83832i | −0.373239 | + | 0.263170i | ||||
\(339\) | 1.26785i | 0.0688604i | ||||||||
\(340\) | −7.38490 | − | 7.38490i | −0.400502 | − | 0.400502i | ||||
\(341\) | −4.31036 | + | 9.59851i | −0.233419 | + | 0.519788i | ||||
\(342\) | − | 10.6539i | − | 0.576094i | ||||||
\(343\) | −1.97091 | + | 1.97091i | −0.106419 | + | 0.106419i | ||||
\(344\) | 24.7488 | − | 6.63141i | 1.33436 | − | 0.357542i | ||||
\(345\) | 0.668721 | + | 0.668721i | 0.0360027 | + | 0.0360027i | ||||
\(346\) | −1.14836 | + | 4.28575i | −0.0617364 | + | 0.230403i | ||||
\(347\) | 11.5708 | + | 6.68039i | 0.621152 | + | 0.358622i | 0.777317 | − | 0.629109i | \(-0.216580\pi\) |
−0.156165 | + | 0.987731i | \(0.549913\pi\) | |||||||
\(348\) | −0.681906 | − | 0.393699i | −0.0365540 | − | 0.0211045i | ||||
\(349\) | −5.76354 | − | 5.76354i | −0.308515 | − | 0.308515i | 0.535818 | − | 0.844333i | \(-0.320003\pi\) |
−0.844333 | + | 0.535818i | \(0.820003\pi\) | |||||||
\(350\) | −0.0626763 | + | 0.0361862i | −0.00335019 | + | 0.00193423i | ||||
\(351\) | 0.221848 | − | 2.58446i | 0.0118414 | − | 0.137949i | ||||
\(352\) | 9.34078 | − | 5.39290i | 0.497865 | − | 0.287443i | ||||
\(353\) | −9.18542 | + | 2.46123i | −0.488890 | + | 0.130998i | −0.494839 | − | 0.868984i | \(-0.664773\pi\) |
0.00594882 | + | 0.999982i | \(0.498106\pi\) | |||||||
\(354\) | 0.642495 | − | 0.370944i | 0.0341482 | − | 0.0197155i | ||||
\(355\) | 15.8266 | + | 9.13752i | 0.839991 | + | 0.484969i | ||||
\(356\) | −18.6747 | − | 18.6747i | −0.989757 | − | 0.989757i | ||||
\(357\) | −0.0474782 | + | 0.0474782i | −0.00251281 | + | 0.00251281i | ||||
\(358\) | 0.545259 | + | 2.03493i | 0.0288178 | + | 0.107550i | ||||
\(359\) | −4.72999 | + | 17.6526i | −0.249640 | + | 0.931667i | 0.721355 | + | 0.692566i | \(0.243520\pi\) |
−0.970994 | + | 0.239102i | \(0.923147\pi\) | |||||||
\(360\) | 8.14606 | − | 14.1094i | 0.429335 | − | 0.743630i | ||||
\(361\) | −9.98309 | + | 5.76374i | −0.525426 | + | 0.303355i | ||||
\(362\) | 8.24135 | + | 2.20826i | 0.433155 | + | 0.116064i | ||||
\(363\) | 0.446448 | + | 0.773271i | 0.0234325 | + | 0.0405862i | ||||
\(364\) | −0.199706 | − | 1.12185i | −0.0104675 | − | 0.0588008i | ||||
\(365\) | 19.6660 | + | 11.3542i | 1.02937 | + | 0.594305i | ||||
\(366\) | 0.221887 | + | 0.828092i | 0.0115982 | + | 0.0432851i | ||||
\(367\) | 6.70312 | − | 3.87005i | 0.349900 | − | 0.202015i | −0.314741 | − | 0.949178i | \(-0.601918\pi\) |
0.664641 | + | 0.747163i | \(0.268584\pi\) | |||||||
\(368\) | −5.57592 | −0.290665 | ||||||||
\(369\) | 7.72108 | + | 28.8155i | 0.401943 | + | 1.50007i | ||||
\(370\) | −7.31470 | − | 7.31470i | −0.380273 | − | 0.380273i | ||||
\(371\) | 1.82919 | − | 1.82919i | 0.0949666 | − | 0.0949666i | ||||
\(372\) | 0.821086 | + | 0.669261i | 0.0425713 | + | 0.0346996i | ||||
\(373\) | 21.5652 | 1.11660 | 0.558302 | − | 0.829638i | \(-0.311453\pi\) | ||||
0.558302 | + | 0.829638i | \(0.311453\pi\) | |||||||
\(374\) | 3.41491i | 0.176581i | ||||||||
\(375\) | −0.325636 | − | 1.21529i | −0.0168158 | − | 0.0627574i | ||||
\(376\) | 20.8475i | 1.07513i | ||||||||
\(377\) | −1.27621 | + | 14.8675i | −0.0657283 | + | 0.765715i | ||||
\(378\) | −0.0803437 | − | 0.0463865i | −0.00413243 | − | 0.00238586i | ||||
\(379\) | 4.47849 | + | 16.7140i | 0.230045 | + | 0.858538i | 0.980320 | + | 0.197413i | \(0.0632541\pi\) |
−0.750276 | + | 0.661125i | \(0.770079\pi\) | |||||||
\(380\) | −20.6241 | −1.05800 | ||||||||
\(381\) | 1.23966 | − | 0.715716i | 0.0635095 | − | 0.0366672i | ||||
\(382\) | 9.45065 | + | 2.53229i | 0.483537 | + | 0.129563i | ||||
\(383\) | −2.57844 | + | 9.62286i | −0.131752 | + | 0.491705i | −0.999990 | − | 0.00444261i | \(-0.998586\pi\) |
0.868238 | + | 0.496148i | \(0.165253\pi\) | |||||||
\(384\) | −0.348196 | − | 1.29948i | −0.0177688 | − | 0.0663141i | ||||
\(385\) | −0.859478 | − | 0.230296i | −0.0438031 | − | 0.0117370i | ||||
\(386\) | −3.72041 | + | 6.44394i | −0.189364 | + | 0.327988i | ||||
\(387\) | 33.0573 | 1.68040 | ||||||||
\(388\) | 0.390055 | + | 0.390055i | 0.0198020 | + | 0.0198020i | ||||
\(389\) | 12.6595 | − | 21.9269i | 0.641863 | − | 1.11174i | −0.343153 | − | 0.939280i | \(-0.611495\pi\) |
0.985016 | − | 0.172460i | \(-0.0551717\pi\) | |||||||
\(390\) | 0.657640 | + | 0.0564513i | 0.0333009 | + | 0.00285852i | ||||
\(391\) | 4.66750 | − | 8.08435i | 0.236046 | − | 0.408843i | ||||
\(392\) | 15.5571 | + | 4.16851i | 0.785753 | + | 0.210542i | ||||
\(393\) | 0.651104 | − | 0.375915i | 0.0328438 | − | 0.0189624i | ||||
\(394\) | 4.61712 | + | 7.99709i | 0.232607 | + | 0.402887i | ||||
\(395\) | −24.9799 | − | 24.9799i | −1.25687 | − | 1.25687i | ||||
\(396\) | 8.62635 | − | 2.31142i | 0.433490 | − | 0.116153i | ||||
\(397\) | −12.9338 | + | 3.46560i | −0.649128 | + | 0.173933i | −0.568335 | − | 0.822797i | \(-0.692412\pi\) |
−0.0807936 | + | 0.996731i | \(0.525745\pi\) | |||||||
\(398\) | 1.94992 | + | 0.522481i | 0.0977409 | + | 0.0261896i | ||||
\(399\) | 0.132595i | 0.00663803i | ||||||||
\(400\) | −0.812281 | − | 0.468970i | −0.0406140 | − | 0.0234485i | ||||
\(401\) | −10.7934 | + | 10.7934i | −0.538998 | + | 0.538998i | −0.923235 | − | 0.384237i | \(-0.874465\pi\) |
0.384237 | + | 0.923235i | \(0.374465\pi\) | |||||||
\(402\) | −0.268658 | −0.0133995 | ||||||||
\(403\) | 4.88693 | − | 19.4709i | 0.243436 | − | 0.969917i | ||||
\(404\) | −20.7330 | −1.03151 | ||||||||
\(405\) | 14.7912 | − | 14.7912i | 0.734980 | − | 0.734980i | ||||
\(406\) | 0.462188 | + | 0.266845i | 0.0229380 | + | 0.0132433i | ||||
\(407\) | − | 12.8352i | − | 0.636218i | ||||||
\(408\) | 0.751673 | + | 0.201410i | 0.0372134 | + | 0.00997129i | ||||
\(409\) | −17.9456 | + | 4.80850i | −0.887352 | + | 0.237765i | −0.673576 | − | 0.739118i | \(-0.735243\pi\) |
−0.213775 | + | 0.976883i | \(0.568576\pi\) | |||||||
\(410\) | −14.7002 | + | 3.93890i | −0.725991 | + | 0.194529i | ||||
\(411\) | −0.418791 | − | 0.418791i | −0.0206574 | − | 0.0206574i | ||||
\(412\) | 0.0792741 | + | 0.137307i | 0.00390556 | + | 0.00676462i | ||||
\(413\) | 1.65248 | − | 0.954059i | 0.0813131 | − | 0.0469462i | ||||
\(414\) | 6.21427 | + | 1.66511i | 0.305415 | + | 0.0818357i | ||||
\(415\) | 1.92580 | − | 3.33559i | 0.0945340 | − | 0.163738i | ||||
\(416\) | −15.7422 | + | 13.2533i | −0.771827 | + | 0.649796i | ||||
\(417\) | −0.605330 | + | 1.04846i | −0.0296431 | + | 0.0513434i | ||||
\(418\) | 4.76849 | + | 4.76849i | 0.233234 | + | 0.233234i | ||||
\(419\) | 28.4577 | 1.39025 | 0.695124 | − | 0.718890i | \(-0.255350\pi\) | ||||
0.695124 | + | 0.718890i | \(0.255350\pi\) | |||||||
\(420\) | −0.0447900 | + | 0.0775785i | −0.00218553 | + | 0.00378544i | ||||
\(421\) | 23.3027 | + | 6.24393i | 1.13570 | + | 0.304311i | 0.777222 | − | 0.629226i | \(-0.216628\pi\) |
0.358481 | + | 0.933537i | \(0.383295\pi\) | |||||||
\(422\) | −2.35496 | − | 8.78883i | −0.114638 | − | 0.427834i | ||||
\(423\) | −6.96158 | + | 25.9810i | −0.338483 | + | 1.26324i | ||||
\(424\) | −28.9596 | − | 7.75970i | −1.40640 | − | 0.376844i | ||||
\(425\) | 1.35989 | − | 0.785134i | 0.0659644 | − | 0.0380846i | ||||
\(426\) | −0.601586 | −0.0291470 | ||||||||
\(427\) | 0.570686 | + | 2.12983i | 0.0276174 | + | 0.103070i | ||||
\(428\) | 17.6741 | + | 10.2041i | 0.854309 | + | 0.493236i | ||||
\(429\) | 0.527458 | + | 0.626514i | 0.0254659 | + | 0.0302484i | ||||
\(430\) | 16.8641i | 0.813261i | ||||||||
\(431\) | 2.22952 | + | 8.32068i | 0.107392 | + | 0.400793i | 0.998606 | − | 0.0527911i | \(-0.0168117\pi\) |
−0.891213 | + | 0.453584i | \(0.850145\pi\) | |||||||
\(432\) | − | 1.20233i | − | 0.0578472i | ||||||
\(433\) | 7.68413 | 0.369276 | 0.184638 | − | 0.982807i | \(-0.440889\pi\) | ||||
0.184638 | + | 0.982807i | \(0.440889\pi\) | |||||||
\(434\) | −0.556523 | − | 0.453618i | −0.0267140 | − | 0.0217744i | ||||
\(435\) | 0.829506 | − | 0.829506i | 0.0397718 | − | 0.0397718i | ||||
\(436\) | 17.1643 | + | 17.1643i | 0.822020 | + | 0.822020i | ||||
\(437\) | −4.77119 | − | 17.8063i | −0.228237 | − | 0.851793i | ||||
\(438\) | −0.747525 | −0.0357181 | ||||||||
\(439\) | −33.1048 | + | 19.1131i | −1.58001 | + | 0.912216i | −0.585148 | + | 0.810926i | \(0.698964\pi\) |
−0.994857 | + | 0.101290i | \(0.967703\pi\) | |||||||
\(440\) | 2.66909 | + | 9.96117i | 0.127244 | + | 0.474880i | ||||
\(441\) | 17.9959 | + | 10.3899i | 0.856947 | + | 0.494758i | ||||
\(442\) | −1.14188 | − | 6.41450i | −0.0543137 | − | 0.305107i | ||||
\(443\) | −2.53971 | − | 4.39891i | −0.120665 | − | 0.208998i | 0.799365 | − | 0.600846i | \(-0.205169\pi\) |
−0.920030 | + | 0.391847i | \(0.871836\pi\) | |||||||
\(444\) | −1.24815 | − | 0.334441i | −0.0592346 | − | 0.0158719i | ||||
\(445\) | 34.0753 | − | 19.6734i | 1.61532 | − | 0.932608i | ||||
\(446\) | −1.98148 | + | 3.43203i | −0.0938260 | + | 0.162511i | ||||
\(447\) | 0.438498 | − | 1.63650i | 0.0207403 | − | 0.0774037i | ||||
\(448\) | 0.0177636 | + | 0.0662945i | 0.000839250 | + | 0.00313212i | ||||
\(449\) | −2.34383 | + | 2.34383i | −0.110612 | + | 0.110612i | −0.760247 | − | 0.649635i | \(-0.774922\pi\) |
0.649635 | + | 0.760247i | \(0.274922\pi\) | |||||||
\(450\) | 0.765228 | + | 0.765228i | 0.0360732 | + | 0.0360732i | ||||
\(451\) | −16.3532 | − | 9.44150i | −0.770040 | − | 0.444583i | ||||
\(452\) | 14.4596 | − | 8.34825i | 0.680122 | − | 0.392669i | ||||
\(453\) | −1.01423 | + | 0.271763i | −0.0476529 | + | 0.0127685i | ||||
\(454\) | −1.01288 | + | 0.584787i | −0.0475369 | + | 0.0274454i | ||||
\(455\) | 1.69143 | + | 0.145191i | 0.0792956 | + | 0.00680667i | ||||
\(456\) | 1.33086 | − | 0.768372i | 0.0623232 | − | 0.0359823i | ||||
\(457\) | −1.31995 | − | 1.31995i | −0.0617449 | − | 0.0617449i | 0.675560 | − | 0.737305i | \(-0.263902\pi\) |
−0.737305 | + | 0.675560i | \(0.763902\pi\) | |||||||
\(458\) | 3.32411 | + | 1.91917i | 0.155325 | + | 0.0896771i | ||||
\(459\) | 1.74322 | + | 1.00645i | 0.0813666 | + | 0.0469771i | ||||
\(460\) | 3.22338 | − | 12.0298i | 0.150291 | − | 0.560894i | ||||
\(461\) | 10.5220 | + | 10.5220i | 0.490060 | + | 0.490060i | 0.908325 | − | 0.418265i | \(-0.137362\pi\) |
−0.418265 | + | 0.908325i | \(0.637362\pi\) | |||||||
\(462\) | 0.0282927 | − | 0.00758101i | 0.00131630 | − | 0.000352700i | ||||
\(463\) | 23.8406 | − | 23.8406i | 1.10797 | − | 1.10797i | 0.114550 | − | 0.993417i | \(-0.463457\pi\) |
0.993417 | − | 0.114550i | \(-0.0365428\pi\) | |||||||
\(464\) | 6.91658i | 0.321094i | ||||||||
\(465\) | −1.27973 | + | 0.923541i | −0.0593461 | + | 0.0428282i | ||||
\(466\) | 4.05008 | + | 4.05008i | 0.187616 | + | 0.187616i | ||||
\(467\) | − | 41.1698i | − | 1.90511i | −0.304361 | − | 0.952557i | \(-0.598443\pi\) | ||
0.304361 | − | 0.952557i | \(-0.401557\pi\) | |||||||
\(468\) | −15.4307 | + | 7.22622i | −0.713283 | + | 0.334032i | ||||
\(469\) | −0.690982 | −0.0319066 | ||||||||
\(470\) | −13.2542 | − | 3.55144i | −0.611369 | − | 0.163816i | ||||
\(471\) | −2.33349 | − | 1.34724i | −0.107522 | − | 0.0620776i | ||||
\(472\) | −19.1519 | − | 11.0573i | −0.881537 | − | 0.508956i | ||||
\(473\) | −14.7959 | + | 14.7959i | −0.680316 | + | 0.680316i | ||||
\(474\) | 1.12328 | + | 0.300982i | 0.0515940 | + | 0.0138246i | ||||
\(475\) | 0.802576 | − | 2.99525i | 0.0368247 | − | 0.137432i | ||||
\(476\) | 0.854101 | + | 0.228856i | 0.0391477 | + | 0.0104896i | ||||
\(477\) | −33.4994 | − | 19.3409i | −1.53383 | − | 0.885558i | ||||
\(478\) | 5.33254 | + | 9.23622i | 0.243905 | + | 0.422455i | ||||
\(479\) | −27.4990 | + | 7.36835i | −1.25646 | + | 0.336668i | −0.824830 | − | 0.565381i | \(-0.808729\pi\) |
−0.431633 | + | 0.902049i | \(0.642063\pi\) | |||||||
\(480\) | 1.61776 | 0.0738401 | ||||||||
\(481\) | 4.29185 | + | 24.1094i | 0.195692 | + | 1.09929i | ||||
\(482\) | −1.69059 | − | 0.976062i | −0.0770042 | − | 0.0444584i | ||||
\(483\) | −0.0773410 | − | 0.0207235i | −0.00351914 | − | 0.000942950i | ||||
\(484\) | 5.87932 | − | 10.1833i | 0.267242 | − | 0.462876i | ||||
\(485\) | −0.711724 | + | 0.410914i | −0.0323177 | + | 0.0186587i | ||||
\(486\) | −0.539003 | + | 2.01159i | −0.0244497 | + | 0.0912474i | ||||
\(487\) | 6.45409 | − | 24.0870i | 0.292463 | − | 1.09149i | −0.650749 | − | 0.759293i | \(-0.725545\pi\) |
0.943212 | − | 0.332192i | \(-0.107788\pi\) | |||||||
\(488\) | 18.0702 | − | 18.0702i | 0.817997 | − | 0.817997i | ||||
\(489\) | 0.718303 | + | 2.68074i | 0.0324828 | + | 0.121227i | ||||
\(490\) | −5.30041 | + | 9.18059i | −0.239448 | + | 0.414737i | ||||
\(491\) | 3.15569 | + | 5.46581i | 0.142414 | + | 0.246668i | 0.928405 | − | 0.371569i | \(-0.121180\pi\) |
−0.785991 | + | 0.618238i | \(0.787847\pi\) | |||||||
\(492\) | −1.34424 | + | 1.34424i | −0.0606029 | + | 0.0606029i | ||||
\(493\) | −10.0281 | − | 5.78974i | −0.451644 | − | 0.260757i | ||||
\(494\) | −10.5515 | − | 7.36254i | −0.474735 | − | 0.331256i | ||||
\(495\) | 13.3053i | 0.598028i | ||||||||
\(496\) | 1.48499 | − | 9.18564i | 0.0666778 | − | 0.412447i | ||||
\(497\) | −1.54726 | −0.0694043 | ||||||||
\(498\) | 0.126789i | 0.00568155i | ||||||||
\(499\) | 16.3556 | − | 4.38247i | 0.732177 | − | 0.196186i | 0.126578 | − | 0.991957i | \(-0.459600\pi\) |
0.605598 | + | 0.795770i | \(0.292934\pi\) | |||||||
\(500\) | −11.7160 | + | 11.7160i | −0.523953 | + | 0.523953i | ||||
\(501\) | −0.736547 | + | 2.74883i | −0.0329065 | + | 0.122809i | ||||
\(502\) | 0.0194329 | + | 0.0725244i | 0.000867331 | + | 0.00323692i | ||||
\(503\) | −7.53028 | + | 13.0428i | −0.335758 | + | 0.581551i | −0.983630 | − | 0.180199i | \(-0.942326\pi\) |
0.647872 | + | 0.761749i | \(0.275659\pi\) | |||||||
\(504\) | 1.37938i | 0.0614425i | ||||||||
\(505\) | 7.99466 | − | 29.8365i | 0.355758 | − | 1.32771i | ||||
\(506\) | −3.52668 | + | 2.03613i | −0.156780 | + | 0.0905171i | ||||
\(507\) | −1.20026 | − | 1.00046i | −0.0533054 | − | 0.0444319i | ||||
\(508\) | −16.3252 | − | 9.42534i | −0.724312 | − | 0.418182i | ||||
\(509\) | 5.77417 | − | 21.5495i | 0.255935 | − | 0.955164i | −0.711632 | − | 0.702552i | \(-0.752044\pi\) |
0.967568 | − | 0.252612i | \(-0.0812895\pi\) | |||||||
\(510\) | −0.256100 | + | 0.443579i | −0.0113403 | + | 0.0196420i | ||||
\(511\) | −1.92261 | −0.0850514 | ||||||||
\(512\) | −12.2136 | + | 12.2136i | −0.539772 | + | 0.539772i | ||||
\(513\) | 3.83957 | − | 1.02881i | 0.169521 | − | 0.0454230i | ||||
\(514\) | 2.56390 | − | 9.56862i | 0.113089 | − | 0.422054i | ||||
\(515\) | −0.228163 | + | 0.0611362i | −0.0100541 | + | 0.00269398i | ||||
\(516\) | 1.05328 | + | 1.82434i | 0.0463683 | + | 0.0803122i | ||||
\(517\) | −8.51276 | − | 14.7445i | −0.374391 | − | 0.648464i | ||||
\(518\) | 0.845982 | + | 0.226680i | 0.0371703 | + | 0.00995976i | ||||
\(519\) | −0.825725 | −0.0362453 | ||||||||
\(520\) | −8.34439 | − | 17.8184i | −0.365926 | − | 0.781387i | ||||
\(521\) | −6.00458 | + | 10.4002i | −0.263066 | + | 0.455643i | −0.967055 | − | 0.254568i | \(-0.918067\pi\) |
0.703989 | + | 0.710210i | \(0.251400\pi\) | |||||||
\(522\) | 2.06546 | − | 7.70842i | 0.0904029 | − | 0.337388i | ||||
\(523\) | − | 5.08361i | − | 0.222291i | −0.993804 | − | 0.111145i | \(-0.964548\pi\) | ||
0.993804 | − | 0.111145i | \(-0.0354519\pi\) | |||||||
\(524\) | −8.57445 | − | 4.95046i | −0.374576 | − | 0.216262i | ||||
\(525\) | −0.00952379 | − | 0.00952379i | −0.000415652 | − | 0.000415652i | ||||
\(526\) | 4.23941 | + | 4.23941i | 0.184847 | + | 0.184847i | ||||
\(527\) | 12.0749 | + | 9.84217i | 0.525992 | + | 0.428732i | ||||
\(528\) | 0.268422 | + | 0.268422i | 0.0116816 | + | 0.0116816i | ||||
\(529\) | −11.8681 | −0.516003 | ||||||||
\(530\) | 9.86673 | − | 17.0897i | 0.428584 | − | 0.742328i | ||||
\(531\) | −20.1755 | − | 20.1755i | −0.875540 | − | 0.875540i | ||||
\(532\) | 1.51221 | − | 0.873076i | 0.0655627 | − | 0.0378526i | ||||
\(533\) | 33.8745 | + | 12.2665i | 1.46727 | + | 0.531323i | ||||
\(534\) | −0.647618 | + | 1.12171i | −0.0280252 | + | 0.0485410i | ||||
\(535\) | −21.4997 | + | 21.4997i | −0.929512 | + | 0.929512i | ||||
\(536\) | 4.00417 | + | 6.93542i | 0.172954 | + | 0.299565i | ||||
\(537\) | −0.339539 | + | 0.196033i | −0.0146522 | + | 0.00845944i | ||||
\(538\) | 0.654498 | − | 2.44262i | 0.0282174 | − | 0.105309i | ||||
\(539\) | −12.7050 | + | 3.40430i | −0.547244 | + | 0.146634i | ||||
\(540\) | 2.59398 | + | 0.695056i | 0.111627 | + | 0.0299104i | ||||
\(541\) | −2.90926 | + | 0.779535i | −0.125079 | + | 0.0335148i | −0.320815 | − | 0.947142i | \(-0.603957\pi\) |
0.195736 | + | 0.980657i | \(0.437290\pi\) | |||||||
\(542\) | 8.53068i | 0.366424i | ||||||||
\(543\) | 1.58784i | 0.0681407i | ||||||||
\(544\) | −4.13299 | − | 15.4245i | −0.177200 | − | 0.661321i | ||||
\(545\) | −31.3193 | + | 18.0822i | −1.34157 | + | 0.774557i | ||||
\(546\) | −0.0506095 | + | 0.0237006i | −0.00216589 | + | 0.00101429i | ||||
\(547\) | −5.43530 | − | 9.41422i | −0.232397 | − | 0.402523i | 0.726116 | − | 0.687572i | \(-0.241323\pi\) |
−0.958513 | + | 0.285049i | \(0.907990\pi\) | |||||||
\(548\) | −2.01867 | + | 7.53377i | −0.0862332 | + | 0.321827i | ||||
\(549\) | 28.5539 | − | 16.4856i | 1.21865 | − | 0.703587i | ||||
\(550\) | −0.685007 | −0.0292088 | ||||||||
\(551\) | −22.0876 | + | 5.91837i | −0.940965 | + | 0.252131i | ||||
\(552\) | 0.240181 | + | 0.896366i | 0.0102228 | + | 0.0381519i | ||||
\(553\) | 2.88905 | + | 0.774119i | 0.122855 | + | 0.0329189i | ||||
\(554\) | 7.50550 | − | 7.50550i | 0.318878 | − | 0.318878i | ||||
\(555\) | 0.962573 | − | 1.66723i | 0.0408590 | − | 0.0707698i | ||||
\(556\) | 15.9433 | 0.676146 | ||||||||
\(557\) | −10.3825 | + | 10.3825i | −0.439919 | + | 0.439919i | −0.891985 | − | 0.452065i | \(-0.850687\pi\) |
0.452065 | + | 0.891985i | \(0.350687\pi\) | |||||||
\(558\) | −4.39806 | + | 9.79380i | −0.186185 | + | 0.414605i | ||||
\(559\) | 22.8448 | − | 32.7398i | 0.966233 | − | 1.38474i | ||||
\(560\) | 0.786879 | 0.0332517 | ||||||||
\(561\) | −0.613869 | + | 0.164486i | −0.0259176 | + | 0.00694459i | ||||
\(562\) | −7.20442 | −0.303900 | ||||||||
\(563\) | 28.1956 | − | 16.2788i | 1.18830 | − | 0.686068i | 0.230384 | − | 0.973100i | \(-0.426002\pi\) |
0.957921 | + | 0.287032i | \(0.0926685\pi\) | |||||||
\(564\) | −1.65563 | + | 0.443625i | −0.0697147 | + | 0.0186800i | ||||
\(565\) | 6.43817 | + | 24.0276i | 0.270856 | + | 1.01085i | ||||
\(566\) | 5.59118 | + | 5.59118i | 0.235015 | + | 0.235015i | ||||
\(567\) | −0.458375 | + | 1.71068i | −0.0192499 | + | 0.0718417i | ||||
\(568\) | 8.96623 | + | 15.5300i | 0.376215 | + | 0.651623i | ||||
\(569\) | −13.2574 | − | 22.9625i | −0.555779 | − | 0.962638i | −0.997842 | − | 0.0656540i | \(-0.979087\pi\) |
0.442063 | − | 0.896984i | \(-0.354247\pi\) | |||||||
\(570\) | 0.261790 | + | 0.977013i | 0.0109652 | + | 0.0409226i | ||||
\(571\) | 16.5661 | + | 28.6932i | 0.693268 | + | 1.20077i | 0.970761 | + | 0.240047i | \(0.0771629\pi\) |
−0.277494 | + | 0.960727i | \(0.589504\pi\) | |||||||
\(572\) | 3.67218 | − | 10.1408i | 0.153541 | − | 0.424010i | ||||
\(573\) | 1.82083i | 0.0760664i | ||||||||
\(574\) | 0.911109 | − | 0.911109i | 0.0380289 | − | 0.0380289i | ||||
\(575\) | 1.62166 | + | 0.936267i | 0.0676280 | + | 0.0390450i | ||||
\(576\) | 0.888787 | − | 0.513141i | 0.0370328 | − | 0.0213809i | ||||
\(577\) | 7.33192 | + | 27.3631i | 0.305232 | + | 1.13914i | 0.932746 | + | 0.360535i | \(0.117406\pi\) |
−0.627514 | + | 0.778605i | \(0.715928\pi\) | |||||||
\(578\) | −5.72187 | − | 1.53317i | −0.237998 | − | 0.0637715i | ||||
\(579\) | −1.33757 | − | 0.358401i | −0.0555876 | − | 0.0148947i | ||||
\(580\) | −14.9223 | − | 3.99841i | −0.619613 | − | 0.166025i | ||||
\(581\) | 0.326098i | 0.0135288i | ||||||||
\(582\) | 0.0135267 | − | 0.0234289i | 0.000560698 | − | 0.000971158i | ||||
\(583\) | 23.6504 | − | 6.33711i | 0.979500 | − | 0.262456i | ||||
\(584\) | 11.1413 | + | 19.2974i | 0.461032 | + | 0.798531i | ||||
\(585\) | −4.44903 | − | 24.9924i | −0.183945 | − | 1.03331i | ||||
\(586\) | 4.39974 | − | 7.62058i | 0.181752 | − | 0.314803i | ||||
\(587\) | −26.9180 | − | 26.9180i | −1.11102 | − | 1.11102i | −0.993012 | − | 0.118011i | \(-0.962348\pi\) |
−0.118011 | − | 0.993012i | \(-0.537652\pi\) | |||||||
\(588\) | 1.32419i | 0.0546088i | ||||||||
\(589\) | 30.6044 | − | 3.11775i | 1.26103 | − | 0.128465i | ||||
\(590\) | 10.2925 | − | 10.2925i | 0.423735 | − | 0.423735i | ||||
\(591\) | −1.21517 | + | 1.21517i | −0.0499856 | + | 0.0499856i | ||||
\(592\) | 2.93776 | + | 10.9639i | 0.120741 | + | 0.450612i | ||||
\(593\) | −7.79406 | − | 7.79406i | −0.320064 | − | 0.320064i | 0.528728 | − | 0.848791i | \(-0.322669\pi\) |
−0.848791 | + | 0.528728i | \(0.822669\pi\) | |||||||
\(594\) | −0.439049 | − | 0.760456i | −0.0180144 | − | 0.0312019i | ||||
\(595\) | −0.658683 | + | 1.14087i | −0.0270034 | + | 0.0467712i | ||||
\(596\) | −21.5512 | + | 5.77463i | −0.882771 | + | 0.236538i | ||||
\(597\) | 0.375687i | 0.0153758i | ||||||||
\(598\) | 5.94360 | − | 5.00388i | 0.243052 | − | 0.204624i | ||||
\(599\) | −22.3055 | − | 38.6342i | −0.911376 | − | 1.57855i | −0.812122 | − | 0.583488i | \(-0.801688\pi\) |
−0.0992544 | − | 0.995062i | \(-0.531646\pi\) | |||||||
\(600\) | −0.0404014 | + | 0.150780i | −0.00164938 | + | 0.00615558i | ||||
\(601\) | −38.9597 | − | 22.4934i | −1.58920 | − | 0.917524i | −0.993439 | − | 0.114360i | \(-0.963518\pi\) |
−0.595758 | − | 0.803164i | \(-0.703148\pi\) | |||||||
\(602\) | −0.713905 | − | 1.23652i | −0.0290966 | − | 0.0503968i | ||||
\(603\) | 2.67421 | + | 9.98030i | 0.108902 | + | 0.406429i | ||||
\(604\) | 9.77767 | + | 9.77767i | 0.397848 | + | 0.397848i | ||||
\(605\) | 12.3875 | + | 12.3875i | 0.503623 | + | 0.503623i | ||||
\(606\) | 0.263172 | + | 0.982171i | 0.0106906 | + | 0.0398980i | ||||
\(607\) | 10.0936 | + | 17.4827i | 0.409688 | + | 0.709601i | 0.994855 | − | 0.101312i | \(-0.0323042\pi\) |
−0.585166 | + | 0.810913i | \(0.698971\pi\) | |||||||
\(608\) | −27.3096 | − | 15.7672i | −1.10755 | − | 0.639444i | ||||
\(609\) | −0.0257061 | + | 0.0959366i | −0.00104167 | + | 0.00388755i | ||||
\(610\) | 8.41011 | + | 14.5667i | 0.340515 | + | 0.589790i | ||||
\(611\) | 20.9205 | + | 24.8493i | 0.846352 | + | 1.00530i | ||||
\(612\) | − | 13.2220i | − | 0.534470i | ||||||
\(613\) | 5.06193 | − | 1.35634i | 0.204449 | − | 0.0547821i | −0.155141 | − | 0.987892i | \(-0.549583\pi\) |
0.359590 | + | 0.933110i | \(0.382916\pi\) | |||||||
\(614\) | −2.56980 | + | 4.45102i | −0.103709 | + | 0.179629i | ||||
\(615\) | −1.41612 | − | 2.45280i | −0.0571037 | − | 0.0989064i | ||||
\(616\) | −0.617387 | − | 0.617387i | −0.0248752 | − | 0.0248752i | ||||
\(617\) | −2.67999 | − | 10.0019i | −0.107892 | − | 0.402660i | 0.890765 | − | 0.454464i | \(-0.150169\pi\) |
−0.998657 | + | 0.0518046i | \(0.983503\pi\) | |||||||
\(618\) | 0.00549828 | − | 0.00549828i | 0.000221173 | − | 0.000221173i | ||||
\(619\) | −21.8058 | + | 21.8058i | −0.876449 | + | 0.876449i | −0.993165 | − | 0.116716i | \(-0.962763\pi\) |
0.116716 | + | 0.993165i | \(0.462763\pi\) | |||||||
\(620\) | 18.9592 | + | 8.51393i | 0.761421 | + | 0.341928i | ||||
\(621\) | 2.40037i | 0.0963236i | ||||||||
\(622\) | 2.69168 | + | 2.69168i | 0.107927 | + | 0.107927i | ||||
\(623\) | −1.66566 | + | 2.88500i | −0.0667331 | + | 0.115585i | ||||
\(624\) | −0.593954 | − | 0.414444i | −0.0237772 | − | 0.0165910i | ||||
\(625\) | −13.7456 | − | 23.8081i | −0.549824 | − | 0.952323i | ||||
\(626\) | −13.7085 | + | 3.67317i | −0.547900 | + | 0.146809i | ||||
\(627\) | −0.627506 | + | 1.08687i | −0.0250602 | + | 0.0434055i | ||||
\(628\) | 35.4839i | 1.41596i | ||||||||
\(629\) | −18.3553 | − | 4.91830i | −0.731875 | − | 0.196105i | ||||
\(630\) | −0.876965 | − | 0.234982i | −0.0349391 | − | 0.00936191i | ||||
\(631\) | −5.56740 | − | 1.49178i | −0.221635 | − | 0.0593869i | 0.146293 | − | 0.989241i | \(-0.453266\pi\) |
−0.367928 | + | 0.929854i | \(0.619933\pi\) | |||||||
\(632\) | −8.97188 | − | 33.4835i | −0.356882 | − | 1.33190i | ||||
\(633\) | 1.46646 | − | 0.846661i | 0.0582866 | − | 0.0336518i | ||||
\(634\) | −5.47161 | − | 3.15904i | −0.217305 | − | 0.125461i | ||||
\(635\) | 19.8588 | − | 19.8588i | 0.788072 | − | 0.788072i | ||||
\(636\) | − | 2.46499i | − | 0.0977432i | ||||||
\(637\) | 22.7265 | − | 10.6429i | 0.900457 | − | 0.421686i | ||||
\(638\) | 2.52569 | + | 4.37463i | 0.0999931 | + | 0.173193i | ||||
\(639\) | 5.98816 | + | 22.3481i | 0.236888 | + | 0.884078i | ||||
\(640\) | −13.1976 | − | 22.8589i | −0.521680 | − | 0.903576i | ||||
\(641\) | −3.04264 | − | 5.27001i | −0.120177 | − | 0.208153i | 0.799660 | − | 0.600453i | \(-0.205013\pi\) |
−0.919837 | + | 0.392300i | \(0.871680\pi\) | |||||||
\(642\) | 0.259050 | − | 0.966786i | 0.0102239 | − | 0.0381560i | ||||
\(643\) | −24.8192 | − | 24.8192i | −0.978775 | − | 0.978775i | 0.0210040 | − | 0.999779i | \(-0.493314\pi\) |
−0.999779 | + | 0.0210040i | \(0.993314\pi\) | |||||||
\(644\) | 0.272909 | + | 1.01851i | 0.0107541 | + | 0.0401350i | ||||
\(645\) | −3.03152 | + | 0.812293i | −0.119366 | + | 0.0319840i | ||||
\(646\) | 8.64653 | − | 4.99207i | 0.340193 | − | 0.196411i | ||||
\(647\) | 21.3884 | 0.840864 | 0.420432 | − | 0.907324i | \(-0.361878\pi\) | ||||
0.420432 | + | 0.907324i | \(0.361878\pi\) | |||||||
\(648\) | 19.8264 | − | 5.31247i | 0.778855 | − | 0.208693i | ||||
\(649\) | 18.0604 | 0.708933 | ||||||||
\(650\) | 1.28670 | − | 0.229053i | 0.0504686 | − | 0.00898420i | ||||
\(651\) | 0.0547369 | − | 0.121891i | 0.00214531 | − | 0.00477727i | ||||
\(652\) | 25.8436 | − | 25.8436i | 1.01211 | − | 1.01211i | ||||
\(653\) | −9.87137 | −0.386297 | −0.193148 | − | 0.981170i | \(-0.561870\pi\) | ||||
−0.193148 | + | 0.981170i | \(0.561870\pi\) | |||||||
\(654\) | 0.595239 | − | 1.03098i | 0.0232757 | − | 0.0403147i | ||||
\(655\) | 10.4304 | − | 10.4304i | 0.407550 | − | 0.407550i | ||||
\(656\) | 16.1299 | + | 4.32199i | 0.629767 | + | 0.168746i | ||||
\(657\) | 7.44083 | + | 27.7695i | 0.290294 | + | 1.08339i | ||||
\(658\) | 1.12217 | − | 0.300684i | 0.0437467 | − | 0.0117219i | ||||
\(659\) | −2.37534 | −0.0925300 | −0.0462650 | − | 0.998929i | \(-0.514732\pi\) | ||||
−0.0462650 | + | 0.998929i | \(0.514732\pi\) | |||||||
\(660\) | −0.734283 | + | 0.423939i | −0.0285819 | + | 0.0165018i | ||||
\(661\) | −2.87259 | + | 10.7207i | −0.111731 | + | 0.416985i | −0.999022 | − | 0.0442253i | \(-0.985918\pi\) |
0.887291 | + | 0.461211i | \(0.152585\pi\) | |||||||
\(662\) | −6.37217 | − | 11.0369i | −0.247661 | − | 0.428962i | ||||
\(663\) | 1.09808 | − | 0.514232i | 0.0426458 | − | 0.0199711i | ||||
\(664\) | 3.27306 | − | 1.88970i | 0.127019 | − | 0.0733347i | ||||
\(665\) | 0.673316 | + | 2.51285i | 0.0261101 | + | 0.0974441i | ||||
\(666\) | − | 13.0964i | − | 0.507474i | ||||||
\(667\) | − | 13.8085i | − | 0.534666i | ||||||
\(668\) | 36.1996 | − | 9.69966i | 1.40061 | − | 0.375291i | ||||
\(669\) | −0.712388 | − | 0.190884i | −0.0275425 | − | 0.00737999i | ||||
\(670\) | −5.09144 | + | 1.36425i | −0.196700 | + | 0.0527055i | ||||
\(671\) | −5.40156 | + | 20.1589i | −0.208525 | + | 0.778226i | ||||
\(672\) | −0.118618 | + | 0.0684840i | −0.00457578 | + | 0.00264183i | ||||
\(673\) | 2.10996 | + | 3.65456i | 0.0813330 | + | 0.140873i | 0.903823 | − | 0.427907i | \(-0.140749\pi\) |
−0.822490 | + | 0.568780i | \(0.807416\pi\) | |||||||
\(674\) | −6.72785 | + | 6.72785i | −0.259147 | + | 0.259147i | ||||
\(675\) | −0.201887 | + | 0.349678i | −0.00777062 | + | 0.0134591i | ||||
\(676\) | −3.50683 | + | 20.2763i | −0.134878 | + | 0.779856i | ||||
\(677\) | −17.1229 | + | 9.88590i | −0.658086 | + | 0.379946i | −0.791547 | − | 0.611108i | \(-0.790724\pi\) |
0.133462 | + | 0.991054i | \(0.457391\pi\) | |||||||
\(678\) | −0.579016 | − | 0.579016i | −0.0222370 | − | 0.0222370i | ||||
\(679\) | 0.0347902 | − | 0.0602584i | 0.00133513 | − | 0.00231251i | ||||
\(680\) | 15.2680 | 0.585501 | ||||||||
\(681\) | −0.153909 | − | 0.153909i | −0.00589782 | − | 0.00589782i | ||||
\(682\) | −2.41505 | − | 6.35204i | −0.0924769 | − | 0.243232i | ||||
\(683\) | −1.16079 | − | 1.16079i | −0.0444164 | − | 0.0444164i | 0.684550 | − | 0.728966i | \(-0.259999\pi\) |
−0.728966 | + | 0.684550i | \(0.759999\pi\) | |||||||
\(684\) | −18.4629 | − | 18.4629i | −0.705947 | − | 0.705947i | ||||
\(685\) | −10.0633 | − | 5.81004i | −0.384499 | − | 0.221990i | ||||
\(686\) | − | 1.80019i | − | 0.0687315i | ||||||
\(687\) | −0.184881 | + | 0.689986i | −0.00705366 | + | 0.0263246i | ||||
\(688\) | 9.25216 | − | 16.0252i | 0.352735 | − | 0.610955i | ||||
\(689\) | −42.3055 | + | 19.8117i | −1.61171 | + | 0.754767i | ||||
\(690\) | −0.610796 | −0.0232526 | ||||||||
\(691\) | −39.9267 | − | 10.6983i | −1.51888 | − | 0.406984i | −0.599510 | − | 0.800367i | \(-0.704638\pi\) |
−0.919375 | + | 0.393383i | \(0.871305\pi\) | |||||||
\(692\) | 5.43703 | + | 9.41721i | 0.206685 | + | 0.357989i | ||||
\(693\) | −0.563249 | − | 0.975575i | −0.0213961 | − | 0.0370590i | ||||
\(694\) | −8.33513 | + | 2.23339i | −0.316397 | + | 0.0847784i | ||||
\(695\) | −6.14774 | + | 22.9437i | −0.233197 | + | 0.870303i | ||||
\(696\) | 1.11189 | − | 0.297929i | 0.0421459 | − | 0.0112930i | ||||
\(697\) | −19.7684 | + | 19.7684i | −0.748781 | + | 0.748781i | ||||
\(698\) | 5.26430 | 0.199257 | ||||||||
\(699\) | −0.532968 | + | 0.923127i | −0.0201587 | + | 0.0349159i | ||||
\(700\) | −0.0459068 | + | 0.171327i | −0.00173511 | + | 0.00647554i | ||||
\(701\) | −2.22023 | − | 1.28185i | −0.0838570 | − | 0.0484149i | 0.457485 | − | 0.889217i | \(-0.348750\pi\) |
−0.541342 | + | 0.840802i | \(0.682084\pi\) | |||||||
\(702\) | 1.07898 | + | 1.28162i | 0.0407236 | + | 0.0483714i | ||||
\(703\) | −32.4987 | + | 18.7631i | −1.22571 | + | 0.707664i | ||||
\(704\) | −0.168133 | + | 0.627480i | −0.00633674 | + | 0.0236490i | ||||
\(705\) | − | 2.55365i | − | 0.0961759i | ||||||
\(706\) | 3.07087 | − | 5.31891i | 0.115574 | − | 0.200180i | ||||
\(707\) | 0.676871 | + | 2.52612i | 0.0254564 | + | 0.0950044i | ||||
\(708\) | 0.470591 | − | 1.75627i | 0.0176859 | − | 0.0660046i | ||||
\(709\) | 19.3511 | − | 19.3511i | 0.726748 | − | 0.726748i | −0.243223 | − | 0.969970i | \(-0.578205\pi\) |
0.969970 | + | 0.243223i | \(0.0782046\pi\) | |||||||
\(710\) | −11.4009 | + | 3.05486i | −0.427868 | + | 0.114647i | ||||
\(711\) | − | 44.7244i | − | 1.67730i | ||||||
\(712\) | 38.6092 | 1.44694 | ||||||||
\(713\) | −2.96467 | + | 18.3385i | −0.111028 | + | 0.686782i | ||||
\(714\) | − | 0.0433657i | − | 0.00162292i | ||||||
\(715\) | 13.1775 | + | 9.19486i | 0.492810 | + | 0.343868i | ||||
\(716\) | 4.47142 | + | 2.58157i | 0.167105 | + | 0.0964780i | ||||
\(717\) | −1.40346 | + | 1.40346i | −0.0524133 | + | 0.0524133i | ||||
\(718\) | −5.90161 | − | 10.2219i | −0.220246 | − | 0.381478i | ||||
\(719\) | 5.66158 | − | 9.80615i | 0.211141 | − | 0.365708i | −0.740931 | − | 0.671582i | \(-0.765615\pi\) |
0.952072 | + | 0.305874i | \(0.0989486\pi\) | |||||||
\(720\) | −3.04535 | − | 11.3654i | −0.113494 | − | 0.423564i | ||||
\(721\) | 0.0141414 | − | 0.0141414i | 0.000526654 | − | 0.000526654i | ||||
\(722\) | 1.92693 | − | 7.19142i | 0.0717131 | − | 0.267637i | ||||
\(723\) | 0.0940277 | − | 0.350916i | 0.00349693 | − | 0.0130507i | ||||
\(724\) | 18.1090 | − | 10.4552i | 0.673014 | − | 0.388565i | ||||
\(725\) | 1.16138 | − | 2.01157i | 0.0431326 | − | 0.0747079i | ||||
\(726\) | −0.557033 | − | 0.149257i | −0.0206735 | − | 0.00553943i | ||||
\(727\) | 2.57875 | + | 1.48884i | 0.0956407 | + | 0.0552182i | 0.547058 | − | 0.837095i | \(-0.315748\pi\) |
−0.451417 | + | 0.892313i | \(0.649081\pi\) | |||||||
\(728\) | 1.36613 | + | 0.953246i | 0.0506322 | + | 0.0353296i | ||||
\(729\) | 26.2230 | 0.971222 | ||||||||
\(730\) | −14.1666 | + | 3.79593i | −0.524330 | + | 0.140494i | ||||
\(731\) | 15.4896 | + | 26.8288i | 0.572905 | + | 0.992301i | ||||
\(732\) | 1.81959 | + | 1.05054i | 0.0672540 | + | 0.0388291i | ||||
\(733\) | −3.11547 | − | 0.834787i | −0.115072 | − | 0.0308336i | 0.200823 | − | 0.979627i | \(-0.435638\pi\) |
−0.315896 | + | 0.948794i | \(0.602305\pi\) | |||||||
\(734\) | −1.29384 | + | 4.82866i | −0.0477563 | + | 0.178229i | ||||
\(735\) | −1.90562 | − | 0.510609i | −0.0702898 | − | 0.0188341i | ||||
\(736\) | 13.4651 | − | 13.4651i | 0.496330 | − | 0.496330i | ||||
\(737\) | −5.66395 | − | 3.27008i | −0.208634 | − | 0.120455i | ||||
\(738\) | −16.6859 | − | 9.63359i | −0.614215 | − | 0.354617i | ||||
\(739\) | −35.9706 | − | 9.63829i | −1.32320 | − | 0.354550i | −0.473024 | − | 0.881050i | \(-0.656838\pi\) |
−0.850176 | + | 0.526499i | \(0.823504\pi\) | |||||||
\(740\) | −25.3524 | −0.931974 | ||||||||
\(741\) | 0.815266 | − | 2.25139i | 0.0299495 | − | 0.0827067i | ||||
\(742\) | 1.67074i | 0.0613349i | ||||||||
\(743\) | 36.6651 | + | 36.6651i | 1.34511 | + | 1.34511i | 0.890886 | + | 0.454227i | \(0.150085\pi\) |
0.454227 | + | 0.890886i | \(0.349915\pi\) | |||||||
\(744\) | −1.54062 | + | 0.156947i | −0.0564818 | + | 0.00575394i | ||||
\(745\) | − | 33.2406i | − | 1.21784i | ||||||
\(746\) | −9.84861 | + | 9.84861i | −0.360583 | + | 0.360583i | ||||
\(747\) | 4.71004 | − | 1.26205i | 0.172331 | − | 0.0461761i | ||||
\(748\) | 5.91797 | + | 5.91797i | 0.216382 | + | 0.216382i | ||||
\(749\) | 0.666269 | − | 2.48655i | 0.0243449 | − | 0.0908565i | ||||
\(750\) | 0.703726 | + | 0.406297i | 0.0256964 | + | 0.0148359i | ||||
\(751\) | −7.42712 | − | 4.28805i | −0.271019 | − | 0.156473i | 0.358331 | − | 0.933594i | \(-0.383346\pi\) |
−0.629351 | + | 0.777121i | \(0.716679\pi\) | |||||||
\(752\) | 10.6464 | + | 10.6464i | 0.388234 | + | 0.388234i | ||||
\(753\) | −0.0121011 | + | 0.00698655i | −0.000440987 | + | 0.000254604i | ||||
\(754\) | −6.20700 | − | 7.37267i | −0.226046 | − | 0.268497i | ||||
\(755\) | −17.8411 | + | 10.3006i | −0.649304 | + | 0.374876i | ||||
\(756\) | −0.219621 | + | 0.0588472i | −0.00798753 | + | 0.00214025i | ||||
\(757\) | −21.0646 | + | 12.1616i | −0.765605 | + | 0.442022i | −0.831304 | − | 0.555817i | \(-0.812405\pi\) |
0.0656997 | + | 0.997839i | \(0.479072\pi\) | |||||||
\(758\) | −9.67838 | − | 5.58782i | −0.351535 | − | 0.202959i | ||||
\(759\) | −0.535887 | − | 0.535887i | −0.0194515 | − | 0.0194515i | ||||
\(760\) | 21.3198 | − | 21.3198i | 0.773351 | − | 0.773351i | ||||
\(761\) | −1.13106 | − | 4.22118i | −0.0410010 | − | 0.153018i | 0.942391 | − | 0.334515i | \(-0.108572\pi\) |
−0.983391 | + | 0.181497i | \(0.941906\pi\) | |||||||
\(762\) | −0.239278 | + | 0.892999i | −0.00866814 | + | 0.0323499i | ||||
\(763\) | 1.53094 | − | 2.65166i | 0.0554237 | − | 0.0959967i | ||||
\(764\) | 20.7662 | − | 11.9894i | 0.751294 | − | 0.433760i | ||||
\(765\) | 19.0276 | + | 5.09842i | 0.687943 | + | 0.184334i | ||||
\(766\) | −3.21712 | − | 5.57221i | −0.116239 | − | 0.201332i | ||||
\(767\) | −33.9243 | + | 6.03905i | −1.22493 | + | 0.218057i | ||||
\(768\) | 0.824043 | + | 0.475761i | 0.0297351 | + | 0.0171676i | ||||
\(769\) | −10.8460 | − | 40.4777i | −0.391115 | − | 1.45966i | −0.828297 | − | 0.560289i | \(-0.810690\pi\) |
0.437182 | − | 0.899373i | \(-0.355977\pi\) | |||||||
\(770\) | 0.497689 | − | 0.287341i | 0.0179355 | − | 0.0103550i | ||||
\(771\) | 1.84356 | 0.0663943 | ||||||||
\(772\) | 4.71982 | + | 17.6146i | 0.169870 | + | 0.633964i | ||||
\(773\) | −18.9813 | − | 18.9813i | −0.682709 | − | 0.682709i | 0.277901 | − | 0.960610i | \(-0.410361\pi\) |
−0.960610 | + | 0.277901i | \(0.910361\pi\) | |||||||
\(774\) | −15.0969 | + | 15.0969i | −0.542648 | + | 0.542648i | ||||
\(775\) | −1.97427 | + | 2.42214i | −0.0709179 | + | 0.0870059i | ||||
\(776\) | −0.806423 | −0.0289489 | ||||||||
\(777\) | 0.162993i | 0.00584735i | ||||||||
\(778\) | 4.23234 | + | 15.7953i | 0.151737 | + | 0.566289i | ||||
\(779\) | 55.2081i | 1.97803i | ||||||||
\(780\) | 1.23751 | − | 1.04185i | 0.0443098 | − | 0.0373041i | ||||
\(781\) | −12.6829 | − | 7.32245i | −0.453828 | − | 0.262018i | ||||
\(782\) | 1.56044 | + | 5.82364i | 0.0558012 | + | 0.208253i | ||||
\(783\) | 2.97751 | 0.106408 | ||||||||
\(784\) | 10.0735 | − | 5.81592i | 0.359767 | − | 0.207712i | ||||
\(785\) | −51.0642 | − | 13.6826i | −1.82256 | − | 0.488353i | ||||
\(786\) | −0.125676 | + | 0.469029i | −0.00448271 | + | 0.0167297i | ||||
\(787\) | 8.14749 | + | 30.4068i | 0.290427 | + | 1.08389i | 0.944782 | + | 0.327699i | \(0.106273\pi\) |
−0.654356 | + | 0.756187i | \(0.727060\pi\) | |||||||
\(788\) | 21.8602 | + | 5.85741i | 0.778736 | + | 0.208662i | ||||
\(789\) | −0.557882 | + | 0.966280i | −0.0198611 | + | 0.0344005i | ||||
\(790\) | 22.8161 | 0.811761 | ||||||||
\(791\) | −1.48921 | − | 1.48921i | −0.0529504 | − | 0.0529504i | ||||
\(792\) | −6.52794 | + | 11.3067i | −0.231960 | + | 0.401767i | ||||
\(793\) | 3.40543 | − | 39.6723i | 0.120930 | − | 1.40880i | ||||
\(794\) | 4.32403 | − | 7.48944i | 0.153454 | − | 0.265790i | ||||
\(795\) | 3.54731 | + | 0.950500i | 0.125810 | + | 0.0337107i | ||||
\(796\) | 4.28463 | − | 2.47373i | 0.151865 | − | 0.0876790i | ||||
\(797\) | −20.5309 | − | 35.5606i | −0.727243 | − | 1.25962i | −0.958044 | − | 0.286621i | \(-0.907468\pi\) |
0.230801 | − | 0.973001i | \(-0.425866\pi\) | |||||||
\(798\) | −0.0605546 | − | 0.0605546i | −0.00214361 | − | 0.00214361i | ||||
\(799\) | −24.3478 | + | 6.52397i | −0.861363 | + | 0.230801i | ||||
\(800\) | 3.09405 | − | 0.829048i | 0.109391 | − | 0.0293113i | ||||
\(801\) | 48.1163 | + | 12.8927i | 1.70011 | + | 0.455542i | ||||
\(802\) | − | 9.85850i | − | 0.348116i | ||||||
\(803\) | −15.7596 | − | 9.09880i | −0.556144 | − | 0.321090i | ||||
\(804\) | −0.465579 | + | 0.465579i | −0.0164197 | + | 0.0164197i | ||||
\(805\) | −1.57095 | −0.0553688 | ||||||||
\(806\) | 6.66037 | + | 11.1240i | 0.234602 | + | 0.391826i | ||||
\(807\) | 0.470614 | 0.0165664 | ||||||||
\(808\) | 21.4324 | − | 21.4324i | 0.753989 | − | 0.753989i | ||||
\(809\) | −19.4940 | − | 11.2549i | −0.685372 | − | 0.395700i | 0.116504 | − | 0.993190i | \(-0.462831\pi\) |
−0.801876 | + | 0.597491i | \(0.796165\pi\) | |||||||
\(810\) | 13.5100i | 0.474692i | ||||||||
\(811\) | 21.4719 | + | 5.75337i | 0.753980 | + | 0.202028i | 0.615283 | − | 0.788307i | \(-0.289042\pi\) |
0.138697 | + | 0.990335i | \(0.455709\pi\) | |||||||
\(812\) | 1.26340 | − | 0.338527i | 0.0443366 | − | 0.0118800i | ||||
\(813\) | −1.53349 | + | 0.410896i | −0.0537817 | + | 0.0144108i | ||||
\(814\) | 5.86171 | + | 5.86171i | 0.205453 | + | 0.205453i | ||||
\(815\) | 27.2256 | + | 47.1562i | 0.953673 | + | 1.65181i | ||||
\(816\) | 0.486720 | − | 0.281008i | 0.0170386 | − | 0.00983725i | ||||
\(817\) | 59.0924 | + | 15.8338i | 2.06738 | + | 0.553953i | ||||
\(818\) | 5.99957 | − | 10.3916i | 0.209770 | − | 0.363332i | ||||
\(819\) | 1.38421 | + | 1.64416i | 0.0483682 | + | 0.0574517i | ||||
\(820\) | −18.6491 | + | 32.3012i | −0.651254 | + | 1.12801i | ||||
\(821\) | 33.2660 | + | 33.2660i | 1.16099 | + | 1.16099i | 0.984259 | + | 0.176731i | \(0.0565524\pi\) |
0.176731 | + | 0.984259i | \(0.443448\pi\) | |||||||
\(822\) | 0.382516 | 0.0133418 | ||||||||
\(823\) | −20.4712 | + | 35.4571i | −0.713580 | + | 1.23596i | 0.249924 | + | 0.968265i | \(0.419594\pi\) |
−0.963505 | + | 0.267692i | \(0.913739\pi\) | |||||||
\(824\) | −0.223886 | − | 0.0599902i | −0.00779945 | − | 0.00208986i | ||||
\(825\) | −0.0329946 | − | 0.123138i | −0.00114873 | − | 0.00428710i | ||||
\(826\) | −0.318961 | + | 1.19038i | −0.0110981 | + | 0.0414186i | ||||
\(827\) | 40.9678 | + | 10.9773i | 1.42459 | + | 0.381718i | 0.887110 | − | 0.461559i | \(-0.152710\pi\) |
0.537480 | + | 0.843276i | \(0.319376\pi\) | |||||||
\(828\) | 13.6548 | − | 7.88361i | 0.474537 | − | 0.273974i | ||||
\(829\) | 9.47664 | 0.329137 | 0.164569 | − | 0.986366i | \(-0.447377\pi\) | ||||
0.164569 | + | 0.986366i | \(0.447377\pi\) | |||||||
\(830\) | 0.643835 | + | 2.40283i | 0.0223478 | + | 0.0834033i | ||||
\(831\) | 1.71071 | + | 0.987681i | 0.0593440 | + | 0.0342623i | ||||
\(832\) | 0.106000 | − | 1.23487i | 0.00367488 | − | 0.0428113i | ||||
\(833\) | 19.4736i | 0.674721i | ||||||||
\(834\) | −0.202374 | − | 0.755270i | −0.00700764 | − | 0.0261529i | ||||
\(835\) | 55.8343i | 1.93223i | ||||||||
\(836\) | 16.5274 | 0.571611 | ||||||||
\(837\) | −3.95432 | − | 0.639270i | −0.136681 | − | 0.0220964i | ||||
\(838\) | −12.9963 | + | 12.9963i | −0.448951 | + | 0.448951i | ||||
\(839\) | 5.13658 | + | 5.13658i | 0.177334 | + | 0.177334i | 0.790193 | − | 0.612858i | \(-0.209980\pi\) |
−0.612858 | + | 0.790193i | \(0.709980\pi\) | |||||||
\(840\) | −0.0338945 | − | 0.126496i | −0.00116947 | − | 0.00436453i | ||||
\(841\) | 11.8715 | 0.409361 | ||||||||
\(842\) | −13.4936 | + | 7.79056i | −0.465022 | + | 0.268480i | ||||
\(843\) | −0.347015 | − | 1.29508i | −0.0119518 | − | 0.0446048i | ||||
\(844\) | −19.3120 | − | 11.1498i | −0.664745 | − | 0.383791i | ||||
\(845\) | −27.8269 | − | 12.8651i | −0.957275 | − | 0.442574i | ||||
\(846\) | −8.68596 | − | 15.0445i | −0.298629 | − | 0.517241i | ||||
\(847\) | −1.43267 | − | 0.383884i | −0.0492273 | − | 0.0131904i | ||||
\(848\) | −18.7518 | + | 10.8264i | −0.643939 | + | 0.371779i | ||||
\(849\) | −0.735768 | + | 1.27439i | −0.0252515 | + | 0.0437369i | ||||
\(850\) | −0.262486 | + | 0.979611i | −0.00900320 | + | 0.0336004i | ||||
\(851\) | −5.86504 | − | 21.8886i | −0.201051 | − | 0.750333i | ||||
\(852\) | −1.04254 | + | 1.04254i | −0.0357167 | + | 0.0357167i | ||||
\(853\) | 8.89997 | + | 8.89997i | 0.304729 | + | 0.304729i | 0.842861 | − | 0.538132i | \(-0.180870\pi\) |
−0.538132 | + | 0.842861i | \(0.680870\pi\) | |||||||
\(854\) | −1.23330 | − | 0.712045i | −0.0422026 | − | 0.0243657i | ||||
\(855\) | 33.6889 | − | 19.4503i | 1.15214 | − | 0.665186i | ||||
\(856\) | −28.8186 | + | 7.72192i | −0.984999 | + | 0.263930i | ||||
\(857\) | −30.4230 | + | 17.5647i | −1.03923 | + | 0.600000i | −0.919615 | − | 0.392821i | \(-0.871499\pi\) |
−0.119615 | + | 0.992820i | \(0.538166\pi\) | |||||||
\(858\) | −0.527007 | − | 0.0452379i | −0.0179917 | − | 0.00154439i | ||||
\(859\) | 40.0025 | − | 23.0954i | 1.36487 | − | 0.788006i | 0.374599 | − | 0.927187i | \(-0.377780\pi\) |
0.990267 | + | 0.139181i | \(0.0444469\pi\) | |||||||
\(860\) | 29.2252 | + | 29.2252i | 0.996571 | + | 0.996571i | ||||
\(861\) | 0.207667 | + | 0.119897i | 0.00707728 | + | 0.00408607i | ||||
\(862\) | −4.81817 | − | 2.78177i | −0.164108 | − | 0.0947476i | ||||
\(863\) | −0.363845 | + | 1.35789i | −0.0123854 | + | 0.0462230i | −0.971842 | − | 0.235633i | \(-0.924284\pi\) |
0.959457 | + | 0.281856i | \(0.0909502\pi\) | |||||||
\(864\) | 2.90347 | + | 2.90347i | 0.0987779 | + | 0.0987779i | ||||
\(865\) | −15.6486 | + | 4.19304i | −0.532069 | + | 0.142567i | ||||
\(866\) | −3.50927 | + | 3.50927i | −0.119250 | + | 0.119250i | ||||
\(867\) | − | 1.10242i | − | 0.0374401i | ||||||
\(868\) | −1.75055 | + | 0.178333i | −0.0594177 | + | 0.00605302i | ||||
\(869\) | 20.0179 | + | 20.0179i | 0.679061 | + | 0.679061i | ||||
\(870\) | 0.757654i | 0.0256869i | ||||||||
\(871\) | 11.7325 | + | 4.24854i | 0.397541 | + | 0.143956i | ||||
\(872\) | −35.4865 | −1.20173 | ||||||||
\(873\) | −1.00500 | − | 0.269288i | −0.0340139 | − | 0.00911401i | ||||
\(874\) | 10.3109 | + | 5.95302i | 0.348773 | + | 0.201364i | ||||
\(875\) | 1.80996 | + | 1.04498i | 0.0611880 | + | 0.0353269i | ||||
\(876\) | −1.29544 | + | 1.29544i | −0.0437690 | + | 0.0437690i | ||||
\(877\) | 28.8207 | + | 7.72249i | 0.973207 | + | 0.260770i | 0.710181 | − | 0.704019i | \(-0.248613\pi\) |
0.263026 | + | 0.964789i | \(0.415280\pi\) | |||||||
\(878\) | 6.38988 | − | 23.8474i | 0.215648 | − | 0.804810i | ||||
\(879\) | 1.58181 | + | 0.423844i | 0.0533530 | + | 0.0142959i | ||||
\(880\) | 6.45002 | + | 3.72392i | 0.217430 | + | 0.125533i | ||||
\(881\) | −23.1965 | − | 40.1775i | −0.781509 | − | 1.35361i | −0.931062 | − | 0.364860i | \(-0.881117\pi\) |
0.149553 | − | 0.988754i | \(-0.452217\pi\) | |||||||
\(882\) | −12.9635 | + | 3.47356i | −0.436504 | + | 0.116961i | ||||
\(883\) | −33.3730 | −1.12309 | −0.561546 | − | 0.827446i | \(-0.689793\pi\) | ||||
−0.561546 | + | 0.827446i | \(0.689793\pi\) | |||||||
\(884\) | −13.0950 | − | 9.13734i | −0.440434 | − | 0.307322i | ||||
\(885\) | 2.34595 | + | 1.35443i | 0.0788582 | + | 0.0455288i | ||||
\(886\) | 3.16880 | + | 0.849076i | 0.106458 | + | 0.0285253i | ||||
\(887\) | 11.6884 | − | 20.2449i | 0.392458 | − | 0.679757i | −0.600315 | − | 0.799763i | \(-0.704958\pi\) |
0.992773 | + | 0.120007i | \(0.0382916\pi\) | |||||||
\(888\) | 1.63597 | − | 0.944530i | 0.0548997 | − | 0.0316963i | ||||
\(889\) | −0.615418 | + | 2.29677i | −0.0206404 | + | 0.0770312i | ||||
\(890\) | −6.57721 | + | 24.5465i | −0.220469 | + | 0.822800i | ||||
\(891\) | −11.8531 | + | 11.8531i | −0.397093 | + | 0.397093i | ||||
\(892\) | 2.51377 | + | 9.38151i | 0.0841672 | + | 0.314116i | ||||
\(893\) | −24.8887 | + | 43.1085i | −0.832868 | + | 1.44257i | ||||
\(894\) | 0.547114 | + | 0.947630i | 0.0182982 | + | 0.0316935i | ||||
\(895\) | −5.43927 | + | 5.43927i | −0.181815 | + | 0.181815i | ||||
\(896\) | 1.93536 | + | 1.11738i | 0.0646557 | + | 0.0373290i | ||||
\(897\) | 1.18579 | + | 0.827408i | 0.0395923 | + | 0.0276264i | ||||
\(898\) | − | 2.14081i | − | 0.0714396i | ||||||
\(899\) | 22.7478 | + | 3.67749i | 0.758680 | + | 0.122651i | ||||
\(900\) | 2.65225 | 0.0884083 | ||||||||
\(901\) | − | 36.2502i | − | 1.20767i | ||||||
\(902\) | 11.7802 | − | 3.15648i | 0.392236 | − | 0.105099i | ||||
\(903\) | 0.187892 | − | 0.187892i | 0.00625265 | − | 0.00625265i | ||||
\(904\) | −6.31748 | + | 23.5772i | −0.210116 | + | 0.784165i | ||||
\(905\) | 8.06306 | + | 30.0917i | 0.268025 | + | 1.00028i | ||||
\(906\) | 0.339079 | − | 0.587302i | 0.0112651 | − | 0.0195118i | ||||
\(907\) | − | 11.3115i | − | 0.375591i | −0.982208 | − | 0.187796i | \(-0.939866\pi\) | ||
0.982208 | − | 0.187796i | \(-0.0601343\pi\) | |||||||
\(908\) | −0.741878 | + | 2.76873i | −0.0246201 | + | 0.0918834i | ||||
\(909\) | 33.8668 | − | 19.5530i | 1.12329 | − | 0.648531i | ||||
\(910\) | −0.838768 | + | 0.706153i | −0.0278049 | + | 0.0234087i | ||||
\(911\) | 25.1022 | + | 14.4928i | 0.831674 | + | 0.480167i | 0.854425 | − | 0.519574i | \(-0.173909\pi\) |
−0.0227518 | + | 0.999741i | \(0.507243\pi\) | |||||||
\(912\) | 0.287251 | − | 1.07204i | 0.00951183 | − | 0.0354986i | ||||
\(913\) | −1.54326 | + | 2.67301i | −0.0510746 | + | 0.0884638i | ||||
\(914\) | 1.20562 | 0.0398784 | ||||||||
\(915\) | −2.21345 | + | 2.21345i | −0.0731743 | + | 0.0731743i | ||||
\(916\) | 9.08650 | − | 2.43472i | 0.300226 | − | 0.0804454i | ||||
\(917\) | −0.323235 | + | 1.20633i | −0.0106742 | + | 0.0398365i | ||||
\(918\) | −1.25575 | + | 0.336477i | −0.0414459 | + | 0.0111054i | ||||
\(919\) | −22.4827 | − | 38.9412i | −0.741637 | − | 1.28455i | −0.951750 | − | 0.306876i | \(-0.900716\pi\) |
0.210112 | − | 0.977677i | \(-0.432617\pi\) | |||||||
\(920\) | 9.10350 | + | 15.7677i | 0.300133 | + | 0.519846i | ||||
\(921\) | −0.923901 | − | 0.247559i | −0.0304436 | − | 0.00815733i | ||||
\(922\) | −9.61062 | −0.316509 | ||||||||
\(923\) | 26.2717 | + | 9.51344i | 0.864744 | + | 0.313139i | ||||
\(924\) | 0.0358929 | − | 0.0621684i | 0.00118079 | − | 0.00204519i | ||||
\(925\) | 0.986575 | − | 3.68195i | 0.0324384 | − | 0.121062i | ||||
\(926\) | 21.7756i | 0.715589i | ||||||||
\(927\) | −0.258983 | − | 0.149524i | −0.00850613 | − | 0.00491102i | ||||
\(928\) | −16.7026 | − | 16.7026i | −0.548289 | − | 0.548289i | ||||
\(929\) | 5.09521 | + | 5.09521i | 0.167168 | + | 0.167168i | 0.785733 | − | 0.618565i | \(-0.212286\pi\) |
−0.618565 | + | 0.785733i | \(0.712286\pi\) | |||||||
\(930\) | 0.162668 | − | 1.00621i | 0.00533410 | − | 0.0329950i | ||||
\(931\) | 27.1924 | + | 27.1924i | 0.891196 | + | 0.891196i | ||||
\(932\) | 14.0374 | 0.459810 | ||||||||
\(933\) | −0.354210 | + | 0.613510i | −0.0115963 | + | 0.0200854i | ||||
\(934\) | 18.8019 | + | 18.8019i | 0.615216 | + | 0.615216i | ||||
\(935\) | −10.7984 | + | 6.23445i | −0.353145 | + | 0.203888i | ||||
\(936\) | 8.48119 | − | 23.4211i | 0.277216 | − | 0.765543i | ||||
\(937\) | 28.4673 | − | 49.3069i | 0.929987 | − | 1.61078i | 0.146649 | − | 0.989189i | \(-0.453151\pi\) |
0.783338 | − | 0.621596i | \(-0.213515\pi\) | |||||||
\(938\) | 0.315564 | − | 0.315564i | 0.0103035 | − | 0.0103035i | ||||
\(939\) | −1.32059 | − | 2.28732i | −0.0430957 | − | 0.0746440i | ||||
\(940\) | −29.1238 | + | 16.8146i | −0.949913 | + | 0.548432i | ||||
\(941\) | 7.80773 | − | 29.1389i | 0.254525 | − | 0.949900i | −0.713829 | − | 0.700320i | \(-0.753041\pi\) |
0.968354 | − | 0.249580i | \(-0.0802925\pi\) | |||||||
\(942\) | 1.68095 | − | 0.450410i | 0.0547684 | − | 0.0146752i | ||||
\(943\) | −32.2022 | − | 8.62857i | −1.04865 | − | 0.280985i | ||||
\(944\) | −15.4272 | + | 4.13372i | −0.502114 | + | 0.134541i | ||||
\(945\) | − | 0.338743i | − | 0.0110193i | ||||||
\(946\) | − | 13.5143i | − | 0.439387i | ||||||
\(947\) | −12.5927 | − | 46.9966i | −0.409208 | − | 1.52719i | −0.796160 | − | 0.605086i | \(-0.793139\pi\) |
0.386952 | − | 0.922100i | \(-0.373528\pi\) | |||||||
\(948\) | 2.46822 | − | 1.42503i | 0.0801641 | − | 0.0462827i | ||||
\(949\) | 32.6449 | + | 11.8213i | 1.05970 | + | 0.383736i | ||||
\(950\) | 1.00137 | + | 1.73443i | 0.0324889 | + | 0.0562724i | ||||
\(951\) | 0.304322 | − | 1.13574i | 0.00986831 | − | 0.0368290i | ||||
\(952\) | −1.11949 | + | 0.646336i | −0.0362828 | + | 0.0209479i | ||||
\(953\) | 12.2508 | 0.396841 | 0.198420 | − | 0.980117i | \(-0.436419\pi\) | ||||
0.198420 | + | 0.980117i | \(0.436419\pi\) | |||||||
\(954\) | 24.1316 | − | 6.46605i | 0.781290 | − | 0.209346i | ||||
\(955\) | 9.24620 | + | 34.5073i | 0.299200 | + | 1.11663i | ||||
\(956\) | 25.2474 | + | 6.76501i | 0.816558 | + | 0.218796i | ||||
\(957\) | −0.664734 | + | 0.664734i | −0.0214878 | + | 0.0214878i | ||||
\(958\) | 9.19349 | − | 15.9236i | 0.297028 | − | 0.514468i | ||||
\(959\) | 0.983819 | 0.0317692 | ||||||||
\(960\) | −0.0688972 | + | 0.0688972i | −0.00222365 | + | 0.00222365i | ||||
\(961\) | −29.4209 | − | 9.76787i | −0.949061 | − | 0.315093i | ||||
\(962\) | −12.9706 | − | 9.05048i | −0.418188 | − | 0.291799i | ||||
\(963\) | −38.4934 | −1.24043 | ||||||||
\(964\) | −4.62125 | + | 1.23826i | −0.148840 | + | 0.0398817i | ||||
\(965\) | −27.1688 | −0.874594 | ||||||||
\(966\) | 0.0447850 | − | 0.0258567i | 0.00144094 | − | 0.000831924i | ||||
\(967\) | 4.99386 | − | 1.33810i | 0.160592 | − | 0.0430304i | −0.177627 | − | 0.984098i | \(-0.556842\pi\) |
0.338219 | + | 0.941067i | \(0.390176\pi\) | |||||||
\(968\) | 4.44914 | + | 16.6044i | 0.143001 | + | 0.533686i | ||||
\(969\) | 1.31386 | + | 1.31386i | 0.0422072 | + | 0.0422072i | ||||
\(970\) | 0.137377 | − | 0.512698i | 0.00441091 | − | 0.0164617i | ||||
\(971\) | 19.2180 | + | 33.2866i | 0.616736 | + | 1.06822i | 0.990077 | + | 0.140524i | \(0.0448789\pi\) |
−0.373341 | + | 0.927694i | \(0.621788\pi\) | |||||||
\(972\) | 2.55196 | + | 4.42012i | 0.0818540 | + | 0.141775i | ||||
\(973\) | −0.520501 | − | 1.94253i | −0.0166865 | − | 0.0622748i | ||||
\(974\) | 8.05277 | + | 13.9478i | 0.258027 | + | 0.446916i | ||||
\(975\) | 0.103151 | + | 0.220266i | 0.00330349 | + | 0.00705417i | ||||
\(976\) | − | 18.4561i | − | 0.590766i | ||||||
\(977\) | −17.1578 | + | 17.1578i | −0.548925 | + | 0.548925i | −0.926130 | − | 0.377205i | \(-0.876885\pi\) |
0.377205 | + | 0.926130i | \(0.376885\pi\) | |||||||
\(978\) | −1.55231 | − | 0.896227i | −0.0496374 | − | 0.0286582i | ||||
\(979\) | −27.3066 | + | 15.7655i | −0.872723 | + | 0.503867i | ||||
\(980\) | 6.72426 | + | 25.0953i | 0.214799 | + | 0.801639i | ||||
\(981\) | −44.2247 | − | 11.8500i | −1.41199 | − | 0.378340i | ||||
\(982\) | −3.93735 | − | 1.05501i | −0.125646 | − | 0.0336667i | ||||
\(983\) | −6.93857 | − | 1.85918i | −0.221306 | − | 0.0592987i | 0.146462 | − | 0.989216i | \(-0.453211\pi\) |
−0.367768 | + | 0.929918i | \(0.619878\pi\) | |||||||
\(984\) | − | 2.77916i | − | 0.0885963i | ||||||
\(985\) | −16.8586 | + | 29.1999i | −0.537158 | + | 0.930385i | ||||
\(986\) | 7.22386 | − | 1.93563i | 0.230055 | − | 0.0616430i | ||||
\(987\) | 0.108103 | + | 0.187240i | 0.00344095 | + | 0.00595990i | ||||
\(988\) | −31.0447 | + | 5.52644i | −0.987663 | + | 0.175819i | ||||
\(989\) | −18.4713 | + | 31.9932i | −0.587353 | + | 1.01733i | ||||
\(990\) | −6.07639 | − | 6.07639i | −0.193120 | − | 0.193120i | ||||
\(991\) | 2.07780i | 0.0660034i | 0.999455 | + | 0.0330017i | \(0.0105067\pi\) | ||||
−0.999455 | + | 0.0330017i | \(0.989493\pi\) | |||||||
\(992\) | 18.5960 | + | 25.7681i | 0.590425 | + | 0.818139i | ||||
\(993\) | 1.67708 | − | 1.67708i | 0.0532206 | − | 0.0532206i | ||||
\(994\) | 0.706620 | − | 0.706620i | 0.0224126 | − | 0.0224126i | ||||
\(995\) | 1.90774 | + | 7.11978i | 0.0604794 | + | 0.225712i | ||||
\(996\) | 0.219723 | + | 0.219723i | 0.00696218 | + | 0.00696218i | ||||
\(997\) | 7.71633 | + | 13.3651i | 0.244379 | + | 0.423276i | 0.961957 | − | 0.273202i | \(-0.0880827\pi\) |
−0.717578 | + | 0.696478i | \(0.754749\pi\) | |||||||
\(998\) | −5.46800 | + | 9.47086i | −0.173087 | + | 0.299795i | ||||
\(999\) | 4.71983 | − | 1.26467i | 0.149329 | − | 0.0400125i |
(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 | 403.2.be.c.57.15 | ✓ | 136 | |
13.8 | odd | 4 | inner | 403.2.be.c.398.15 | yes | 136 | |
31.6 | odd | 6 | inner | 403.2.be.c.161.15 | yes | 136 | |
403.99 | even | 12 | inner | 403.2.be.c.99.15 | yes | 136 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
403.2.be.c.57.15 | ✓ | 136 | 1.1 | even | 1 | trivial | |
403.2.be.c.99.15 | yes | 136 | 403.99 | even | 12 | inner | |
403.2.be.c.161.15 | yes | 136 | 31.6 | odd | 6 | inner | |
403.2.be.c.398.15 | yes | 136 | 13.8 | odd | 4 | inner |