Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [345,2,Mod(16,345)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(345, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 0, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("345.16");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 345 = 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 345.m (of order \(11\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.75483886973\) |
Analytic rank: | \(0\) |
Dimension: | \(50\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 31.4 | ||
Character | \(\chi\) | \(=\) | 345.31 |
Dual form | 345.2.m.c.256.4 |
$q$-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 \(\left(\mathbb{Z}/345\mathbb{Z}\right)^\times\).
\(n\) | \(116\) | \(166\) | \(277\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{3}{11}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.0510170 | − | 0.354831i | 0.0360745 | − | 0.250904i | −0.963802 | − | 0.266619i | \(-0.914093\pi\) |
0.999877 | + | 0.0157154i | \(0.00500257\pi\) | |||||||
\(3\) | 0.415415 | + | 0.909632i | 0.239840 | + | 0.525176i | ||||
\(4\) | 1.79568 | + | 0.527260i | 0.897842 | + | 0.263630i | ||||
\(5\) | 0.654861 | + | 0.755750i | 0.292863 | + | 0.337981i | ||||
\(6\) | 0.343959 | − | 0.100995i | 0.140421 | − | 0.0412312i | ||||
\(7\) | 2.04891 | + | 1.31675i | 0.774414 | + | 0.497686i | 0.867175 | − | 0.498003i | \(-0.165933\pi\) |
−0.0927615 | + | 0.995688i | \(0.529569\pi\) | |||||||
\(8\) | 0.576535 | − | 1.26244i | 0.203836 | − | 0.446338i | ||||
\(9\) | −0.654861 | + | 0.755750i | −0.218287 | + | 0.251917i | ||||
\(10\) | 0.301573 | − | 0.193809i | 0.0953656 | − | 0.0612878i | ||||
\(11\) | −0.621667 | − | 4.32379i | −0.187440 | − | 1.30367i | −0.838607 | − | 0.544737i | \(-0.816630\pi\) |
0.651168 | − | 0.758934i | \(-0.274279\pi\) | |||||||
\(12\) | 0.266341 | + | 1.85244i | 0.0768861 | + | 0.534754i | ||||
\(13\) | −4.84142 | + | 3.11139i | −1.34277 | + | 0.862946i | −0.997151 | − | 0.0754295i | \(-0.975967\pi\) |
−0.345618 | + | 0.938375i | \(0.612331\pi\) | |||||||
\(14\) | 0.571754 | − | 0.659839i | 0.152808 | − | 0.176349i | ||||
\(15\) | −0.415415 | + | 0.909632i | −0.107260 | + | 0.234866i | ||||
\(16\) | 2.73026 | + | 1.75463i | 0.682565 | + | 0.438658i | ||||
\(17\) | −0.233763 | + | 0.0686390i | −0.0566959 | + | 0.0166474i | −0.309958 | − | 0.950750i | \(-0.600315\pi\) |
0.253262 | + | 0.967398i | \(0.418497\pi\) | |||||||
\(18\) | 0.234755 | + | 0.270921i | 0.0553322 | + | 0.0638567i | ||||
\(19\) | −2.95092 | − | 0.866468i | −0.676987 | − | 0.198781i | −0.0748750 | − | 0.997193i | \(-0.523856\pi\) |
−0.602112 | + | 0.798412i | \(0.705674\pi\) | |||||||
\(20\) | 0.777446 | + | 1.70237i | 0.173842 | + | 0.380661i | ||||
\(21\) | −0.346614 | + | 2.41075i | −0.0756373 | + | 0.526069i | ||||
\(22\) | −1.56593 | −0.333857 | ||||||||
\(23\) | 4.21667 | − | 2.28467i | 0.879236 | − | 0.476386i | ||||
\(24\) | 1.38785 | 0.283294 | ||||||||
\(25\) | −0.142315 | + | 0.989821i | −0.0284630 | + | 0.197964i | ||||
\(26\) | 0.857025 | + | 1.87662i | 0.168076 | + | 0.368036i | ||||
\(27\) | −0.959493 | − | 0.281733i | −0.184655 | − | 0.0542195i | ||||
\(28\) | 2.98492 | + | 3.44478i | 0.564096 | + | 0.651002i | ||||
\(29\) | −2.46954 | + | 0.725121i | −0.458581 | + | 0.134652i | −0.502861 | − | 0.864368i | \(-0.667719\pi\) |
0.0442792 | + | 0.999019i | \(0.485901\pi\) | |||||||
\(30\) | 0.301573 | + | 0.193809i | 0.0550594 | + | 0.0353845i | ||||
\(31\) | 1.55002 | − | 3.39408i | 0.278392 | − | 0.609594i | −0.717851 | − | 0.696197i | \(-0.754874\pi\) |
0.996243 | + | 0.0866031i | \(0.0276012\pi\) | |||||||
\(32\) | 2.57959 | − | 2.97700i | 0.456011 | − | 0.526265i | ||||
\(33\) | 3.67480 | − | 2.36165i | 0.639701 | − | 0.411111i | ||||
\(34\) | 0.0124294 | + | 0.0864482i | 0.00213162 | + | 0.0148257i | ||||
\(35\) | 0.346614 | + | 2.41075i | 0.0585884 | + | 0.407491i | ||||
\(36\) | −1.57440 | + | 1.01180i | −0.262400 | + | 0.168634i | ||||
\(37\) | 3.05422 | − | 3.52476i | 0.502111 | − | 0.579467i | −0.446950 | − | 0.894559i | \(-0.647490\pi\) |
0.949061 | + | 0.315092i | \(0.102035\pi\) | |||||||
\(38\) | −0.457997 | + | 1.00287i | −0.0742969 | + | 0.162688i | ||||
\(39\) | −4.84142 | − | 3.11139i | −0.775248 | − | 0.498222i | ||||
\(40\) | 1.33163 | − | 0.391003i | 0.210550 | − | 0.0618230i | ||||
\(41\) | −3.15111 | − | 3.63658i | −0.492121 | − | 0.567938i | 0.454310 | − | 0.890844i | \(-0.349886\pi\) |
−0.946431 | + | 0.322906i | \(0.895340\pi\) | |||||||
\(42\) | 0.837726 | + | 0.245979i | 0.129264 | + | 0.0379553i | ||||
\(43\) | 4.06358 | + | 8.89801i | 0.619691 | + | 1.35693i | 0.915744 | + | 0.401762i | \(0.131602\pi\) |
−0.296053 | + | 0.955171i | \(0.595671\pi\) | |||||||
\(44\) | 1.16344 | − | 8.09193i | 0.175396 | − | 1.21990i | ||||
\(45\) | −1.00000 | −0.149071 | ||||||||
\(46\) | −0.595549 | − | 1.61276i | −0.0878090 | − | 0.237789i | ||||
\(47\) | −5.51766 | −0.804833 | −0.402416 | − | 0.915457i | \(-0.631830\pi\) | ||||
−0.402416 | + | 0.915457i | \(0.631830\pi\) | |||||||
\(48\) | −0.461878 | + | 3.21243i | −0.0666664 | + | 0.463675i | ||||
\(49\) | −0.443723 | − | 0.971617i | −0.0633890 | − | 0.138802i | ||||
\(50\) | 0.343959 | + | 0.100995i | 0.0486432 | + | 0.0142829i | ||||
\(51\) | −0.159545 | − | 0.184125i | −0.0223408 | − | 0.0257826i | ||||
\(52\) | −10.3342 | + | 3.03439i | −1.43309 | + | 0.420794i | ||||
\(53\) | 3.62920 | + | 2.33235i | 0.498509 | + | 0.320372i | 0.765620 | − | 0.643294i | \(-0.222433\pi\) |
−0.267111 | + | 0.963666i | \(0.586069\pi\) | |||||||
\(54\) | −0.148918 | + | 0.326085i | −0.0202652 | + | 0.0443745i | ||||
\(55\) | 2.86059 | − | 3.30130i | 0.385722 | − | 0.445147i | ||||
\(56\) | 2.84358 | − | 1.82746i | 0.379989 | − | 0.244204i | ||||
\(57\) | −0.437689 | − | 3.04419i | −0.0579733 | − | 0.403213i | ||||
\(58\) | 0.131307 | + | 0.913262i | 0.0172415 | + | 0.119917i | ||||
\(59\) | −4.37231 | + | 2.80992i | −0.569227 | + | 0.365820i | −0.793373 | − | 0.608736i | \(-0.791677\pi\) |
0.224146 | + | 0.974555i | \(0.428041\pi\) | |||||||
\(60\) | −1.22557 | + | 1.41438i | −0.158220 | + | 0.182596i | ||||
\(61\) | 3.89966 | − | 8.53906i | 0.499300 | − | 1.09331i | −0.477396 | − | 0.878688i | \(-0.658419\pi\) |
0.976696 | − | 0.214627i | \(-0.0688535\pi\) | |||||||
\(62\) | −1.12525 | − | 0.723152i | −0.142906 | − | 0.0918404i | ||||
\(63\) | −2.33688 | + | 0.686171i | −0.294420 | + | 0.0864494i | ||||
\(64\) | 3.32593 | + | 3.83832i | 0.415741 | + | 0.479790i | ||||
\(65\) | −5.52189 | − | 1.62137i | −0.684907 | − | 0.201107i | ||||
\(66\) | −0.650511 | − | 1.42442i | −0.0800723 | − | 0.175334i | ||||
\(67\) | −0.238258 | + | 1.65712i | −0.0291078 | + | 0.202449i | −0.999186 | − | 0.0403440i | \(-0.987155\pi\) |
0.970078 | + | 0.242793i | \(0.0780637\pi\) | |||||||
\(68\) | −0.455955 | −0.0552927 | ||||||||
\(69\) | 3.82987 | + | 2.88653i | 0.461063 | + | 0.347498i | ||||
\(70\) | 0.873093 | 0.104355 | ||||||||
\(71\) | 1.59957 | − | 11.1252i | 0.189834 | − | 1.32032i | −0.642602 | − | 0.766201i | \(-0.722145\pi\) |
0.832435 | − | 0.554122i | \(-0.186946\pi\) | |||||||
\(72\) | 0.576535 | + | 1.26244i | 0.0679453 | + | 0.148779i | ||||
\(73\) | −6.71302 | − | 1.97112i | −0.785700 | − | 0.230702i | −0.135814 | − | 0.990734i | \(-0.543365\pi\) |
−0.649886 | + | 0.760032i | \(0.725183\pi\) | |||||||
\(74\) | −1.09488 | − | 1.26356i | −0.127277 | − | 0.146885i | ||||
\(75\) | −0.959493 | + | 0.281733i | −0.110793 | + | 0.0325317i | ||||
\(76\) | −4.84206 | − | 3.11180i | −0.555422 | − | 0.356948i | ||||
\(77\) | 4.41962 | − | 9.67762i | 0.503662 | − | 1.10287i | ||||
\(78\) | −1.35102 | + | 1.55915i | −0.152972 | + | 0.176539i | ||||
\(79\) | −5.09051 | + | 3.27147i | −0.572727 | + | 0.368070i | −0.794718 | − | 0.606979i | \(-0.792381\pi\) |
0.221990 | + | 0.975049i | \(0.428745\pi\) | |||||||
\(80\) | 0.461878 | + | 3.21243i | 0.0516395 | + | 0.359161i | ||||
\(81\) | −0.142315 | − | 0.989821i | −0.0158128 | − | 0.109980i | ||||
\(82\) | −1.45113 | + | 0.932586i | −0.160251 | + | 0.102987i | ||||
\(83\) | −8.27051 | + | 9.54468i | −0.907806 | + | 1.04766i | 0.0908513 | + | 0.995864i | \(0.471041\pi\) |
−0.998657 | + | 0.0517998i | \(0.983504\pi\) | |||||||
\(84\) | −1.89350 | + | 4.14619i | −0.206598 | + | 0.452386i | ||||
\(85\) | −0.204956 | − | 0.131717i | −0.0222306 | − | 0.0142868i | ||||
\(86\) | 3.36460 | − | 0.987936i | 0.362814 | − | 0.106532i | ||||
\(87\) | −1.68548 | − | 1.94514i | −0.180702 | − | 0.208541i | ||||
\(88\) | −5.81691 | − | 1.70800i | −0.620085 | − | 0.182073i | ||||
\(89\) | −5.27655 | − | 11.5540i | −0.559313 | − | 1.22472i | −0.952295 | − | 0.305178i | \(-0.901284\pi\) |
0.392982 | − | 0.919546i | \(-0.371443\pi\) | |||||||
\(90\) | −0.0510170 | + | 0.354831i | −0.00537767 | + | 0.0374025i | ||||
\(91\) | −14.0166 | −1.46934 | ||||||||
\(92\) | 8.77642 | − | 1.87926i | 0.915005 | − | 0.195926i | ||||
\(93\) | 3.73126 | 0.386914 | ||||||||
\(94\) | −0.281494 | + | 1.95784i | −0.0290339 | + | 0.201935i | ||||
\(95\) | −1.27761 | − | 2.79757i | −0.131080 | − | 0.287025i | ||||
\(96\) | 3.77958 | + | 1.10978i | 0.385752 | + | 0.113267i | ||||
\(97\) | −9.55448 | − | 11.0265i | −0.970110 | − | 1.11957i | −0.992795 | − | 0.119824i | \(-0.961767\pi\) |
0.0226847 | − | 0.999743i | \(-0.492779\pi\) | |||||||
\(98\) | −0.367398 | + | 0.107878i | −0.0371128 | + | 0.0108973i | ||||
\(99\) | 3.67480 | + | 2.36165i | 0.369332 | + | 0.237355i | ||||
\(100\) | −0.777446 | + | 1.70237i | −0.0777446 | + | 0.170237i | ||||
\(101\) | −8.29647 | + | 9.57464i | −0.825530 | + | 0.952712i | −0.999487 | − | 0.0320414i | \(-0.989799\pi\) |
0.173957 | + | 0.984753i | \(0.444345\pi\) | |||||||
\(102\) | −0.0734727 | + | 0.0472180i | −0.00727488 | + | 0.00467528i | ||||
\(103\) | 2.18165 | + | 15.1737i | 0.214965 | + | 1.49511i | 0.756255 | + | 0.654277i | \(0.227027\pi\) |
−0.541290 | + | 0.840836i | \(0.682064\pi\) | |||||||
\(104\) | 1.13668 | + | 7.90581i | 0.111461 | + | 0.775229i | ||||
\(105\) | −2.04891 | + | 1.31675i | −0.199953 | + | 0.128502i | ||||
\(106\) | 1.01274 | − | 1.16876i | 0.0983660 | − | 0.113520i | ||||
\(107\) | −0.0648269 | + | 0.141951i | −0.00626705 | + | 0.0137229i | −0.912740 | − | 0.408542i | \(-0.866037\pi\) |
0.906473 | + | 0.422265i | \(0.138765\pi\) | |||||||
\(108\) | −1.57440 | − | 1.01180i | −0.151497 | − | 0.0973610i | ||||
\(109\) | 14.1102 | − | 4.14313i | 1.35151 | − | 0.396840i | 0.475749 | − | 0.879581i | \(-0.342177\pi\) |
0.875763 | + | 0.482742i | \(0.160359\pi\) | |||||||
\(110\) | −1.02547 | − | 1.18345i | −0.0977743 | − | 0.112838i | ||||
\(111\) | 4.47500 | + | 1.31398i | 0.424748 | + | 0.124717i | ||||
\(112\) | 3.28363 | + | 7.19015i | 0.310274 | + | 0.679406i | ||||
\(113\) | 0.273897 | − | 1.90499i | 0.0257660 | − | 0.179207i | −0.972874 | − | 0.231334i | \(-0.925691\pi\) |
0.998640 | + | 0.0521272i | \(0.0166001\pi\) | |||||||
\(114\) | −1.10250 | −0.103259 | ||||||||
\(115\) | 4.48797 | + | 1.69061i | 0.418505 | + | 0.157650i | ||||
\(116\) | −4.81683 | −0.447232 | ||||||||
\(117\) | 0.819024 | − | 5.69643i | 0.0757188 | − | 0.526636i | ||||
\(118\) | 0.773983 | + | 1.69479i | 0.0712509 | + | 0.156018i | ||||
\(119\) | −0.569339 | − | 0.167173i | −0.0521913 | − | 0.0153247i | ||||
\(120\) | 0.908850 | + | 1.04887i | 0.0829663 | + | 0.0957482i | ||||
\(121\) | −7.75423 | + | 2.27685i | −0.704930 | + | 0.206986i | ||||
\(122\) | −2.83098 | − | 1.81936i | −0.256305 | − | 0.164717i | ||||
\(123\) | 1.99893 | − | 4.37704i | 0.180237 | − | 0.394665i | ||||
\(124\) | 4.57291 | − | 5.27742i | 0.410660 | − | 0.473926i | ||||
\(125\) | −0.841254 | + | 0.540641i | −0.0752440 | + | 0.0483564i | ||||
\(126\) | 0.124254 | + | 0.864206i | 0.0110694 | + | 0.0769896i | ||||
\(127\) | −1.45269 | − | 10.1037i | −0.128905 | − | 0.896556i | −0.946945 | − | 0.321395i | \(-0.895848\pi\) |
0.818040 | − | 0.575161i | \(-0.195061\pi\) | |||||||
\(128\) | 8.15927 | − | 5.24364i | 0.721184 | − | 0.463477i | ||||
\(129\) | −6.40584 | + | 7.39273i | −0.564003 | + | 0.650894i | ||||
\(130\) | −0.857025 | + | 1.87662i | −0.0751661 | + | 0.164591i | ||||
\(131\) | −4.94200 | − | 3.17603i | −0.431785 | − | 0.277491i | 0.306642 | − | 0.951825i | \(-0.400795\pi\) |
−0.738427 | + | 0.674334i | \(0.764431\pi\) | |||||||
\(132\) | 7.84399 | − | 2.30320i | 0.682732 | − | 0.200468i | ||||
\(133\) | −4.90523 | − | 5.66094i | −0.425338 | − | 0.490866i | ||||
\(134\) | 0.575843 | + | 0.169083i | 0.0497452 | + | 0.0146065i | ||||
\(135\) | −0.415415 | − | 0.909632i | −0.0357532 | − | 0.0782887i | ||||
\(136\) | −0.0481202 | + | 0.334684i | −0.00412628 | + | 0.0286989i | ||||
\(137\) | 10.2776 | 0.878074 | 0.439037 | − | 0.898469i | \(-0.355320\pi\) | ||||
0.439037 | + | 0.898469i | \(0.355320\pi\) | |||||||
\(138\) | 1.21962 | − | 1.21170i | 0.103821 | − | 0.103146i | ||||
\(139\) | 19.8111 | 1.68036 | 0.840180 | − | 0.542308i | \(-0.182450\pi\) | ||||
0.840180 | + | 0.542308i | \(0.182450\pi\) | |||||||
\(140\) | −0.648684 | + | 4.51170i | −0.0548238 | + | 0.381308i | ||||
\(141\) | −2.29212 | − | 5.01904i | −0.193031 | − | 0.422679i | ||||
\(142\) | −3.86598 | − | 1.13515i | −0.324426 | − | 0.0952599i | ||||
\(143\) | 16.4628 | + | 18.9990i | 1.37668 | + | 1.58878i | ||||
\(144\) | −3.11400 | + | 0.914354i | −0.259500 | + | 0.0761961i | ||||
\(145\) | −2.16521 | − | 1.39150i | −0.179811 | − | 0.115558i | ||||
\(146\) | −1.04189 | + | 2.28143i | −0.0862278 | + | 0.188812i | ||||
\(147\) | 0.699485 | − | 0.807249i | 0.0576926 | − | 0.0665808i | ||||
\(148\) | 7.34288 | − | 4.71898i | 0.603581 | − | 0.387898i | ||||
\(149\) | 3.18139 | + | 22.1270i | 0.260629 | + | 1.81272i | 0.528134 | + | 0.849161i | \(0.322892\pi\) |
−0.267504 | + | 0.963557i | \(0.586199\pi\) | |||||||
\(150\) | 0.0510170 | + | 0.354831i | 0.00416552 | + | 0.0289718i | ||||
\(151\) | −4.04355 | + | 2.59863i | −0.329059 | + | 0.211474i | −0.694730 | − | 0.719271i | \(-0.744476\pi\) |
0.365670 | + | 0.930744i | \(0.380840\pi\) | |||||||
\(152\) | −2.79517 | + | 3.22579i | −0.226718 | + | 0.261646i | ||||
\(153\) | 0.101208 | − | 0.221615i | 0.00818221 | − | 0.0179165i | ||||
\(154\) | −3.20844 | − | 2.06194i | −0.258544 | − | 0.166156i | ||||
\(155\) | 3.58012 | − | 1.05122i | 0.287562 | − | 0.0844359i | ||||
\(156\) | −7.05315 | − | 8.13977i | −0.564704 | − | 0.651703i | ||||
\(157\) | 10.9333 | + | 3.21030i | 0.872572 | + | 0.256210i | 0.687209 | − | 0.726460i | \(-0.258836\pi\) |
0.185363 | + | 0.982670i | \(0.440654\pi\) | |||||||
\(158\) | 0.901118 | + | 1.97317i | 0.0716891 | + | 0.156977i | ||||
\(159\) | −0.613952 | + | 4.27013i | −0.0486895 | + | 0.338643i | ||||
\(160\) | 3.93914 | 0.311416 | ||||||||
\(161\) | 11.6479 | + | 0.871239i | 0.917983 | + | 0.0686632i | ||||
\(162\) | −0.358480 | −0.0281649 | ||||||||
\(163\) | −2.86552 | + | 19.9301i | −0.224445 | + | 1.56105i | 0.496487 | + | 0.868044i | \(0.334623\pi\) |
−0.720932 | + | 0.693005i | \(0.756286\pi\) | |||||||
\(164\) | −3.74098 | − | 8.19160i | −0.292121 | − | 0.639656i | ||||
\(165\) | 4.19130 | + | 1.23068i | 0.326293 | + | 0.0958081i | ||||
\(166\) | 2.96481 | + | 3.42158i | 0.230114 | + | 0.265566i | ||||
\(167\) | −0.962343 | + | 0.282569i | −0.0744683 | + | 0.0218659i | −0.318755 | − | 0.947837i | \(-0.603265\pi\) |
0.244286 | + | 0.969703i | \(0.421446\pi\) | |||||||
\(168\) | 2.84358 | + | 1.82746i | 0.219387 | + | 0.140991i | ||||
\(169\) | 8.35822 | − | 18.3020i | 0.642940 | − | 1.40784i | ||||
\(170\) | −0.0571937 | + | 0.0660050i | −0.00438656 | + | 0.00506235i | ||||
\(171\) | 2.58727 | − | 1.66274i | 0.197854 | − | 0.127153i | ||||
\(172\) | 2.60534 | + | 18.1206i | 0.198656 | + | 1.38168i | ||||
\(173\) | −2.77106 | − | 19.2731i | −0.210679 | − | 1.46531i | −0.770896 | − | 0.636962i | \(-0.780191\pi\) |
0.560216 | − | 0.828346i | \(-0.310718\pi\) | |||||||
\(174\) | −0.776185 | + | 0.498824i | −0.0588425 | + | 0.0378158i | ||||
\(175\) | −1.59494 | + | 1.84066i | −0.120566 | + | 0.139141i | ||||
\(176\) | 5.88934 | − | 12.8959i | 0.443926 | − | 0.972062i | ||||
\(177\) | −4.37231 | − | 2.80992i | −0.328643 | − | 0.211206i | ||||
\(178\) | −4.36892 | + | 1.28283i | −0.327465 | + | 0.0961523i | ||||
\(179\) | −0.296424 | − | 0.342091i | −0.0221557 | − | 0.0255691i | 0.744564 | − | 0.667552i | \(-0.232658\pi\) |
−0.766719 | + | 0.641982i | \(0.778112\pi\) | |||||||
\(180\) | −1.79568 | − | 0.527260i | −0.133842 | − | 0.0392997i | ||||
\(181\) | −2.81318 | − | 6.16000i | −0.209102 | − | 0.457869i | 0.775801 | − | 0.630978i | \(-0.217346\pi\) |
−0.984903 | + | 0.173108i | \(0.944619\pi\) | |||||||
\(182\) | −0.715084 | + | 4.97352i | −0.0530055 | + | 0.368661i | ||||
\(183\) | 9.38738 | 0.693935 | ||||||||
\(184\) | −0.453188 | − | 6.64046i | −0.0334095 | − | 0.489541i | ||||
\(185\) | 4.66392 | 0.342899 | ||||||||
\(186\) | 0.190358 | − | 1.32397i | 0.0139577 | − | 0.0970781i | ||||
\(187\) | 0.442103 | + | 0.968071i | 0.0323298 | + | 0.0707924i | ||||
\(188\) | −9.90796 | − | 2.90924i | −0.722613 | − | 0.212178i | ||||
\(189\) | −1.59494 | − | 1.84066i | −0.116015 | − | 0.133888i | ||||
\(190\) | −1.05785 | + | 0.310611i | −0.0767442 | + | 0.0225341i | ||||
\(191\) | 9.20908 | + | 5.91832i | 0.666346 | + | 0.428234i | 0.829606 | − | 0.558349i | \(-0.188565\pi\) |
−0.163261 | + | 0.986583i | \(0.552201\pi\) | |||||||
\(192\) | −2.10982 | + | 4.61987i | −0.152263 | + | 0.333410i | ||||
\(193\) | −0.735632 | + | 0.848964i | −0.0529519 | + | 0.0611098i | −0.781608 | − | 0.623770i | \(-0.785600\pi\) |
0.728656 | + | 0.684880i | \(0.240145\pi\) | |||||||
\(194\) | −4.39997 | + | 2.82769i | −0.315900 | + | 0.203016i | ||||
\(195\) | −0.819024 | − | 5.69643i | −0.0586515 | − | 0.407930i | ||||
\(196\) | −0.284490 | − | 1.97867i | −0.0203207 | − | 0.141334i | ||||
\(197\) | −15.4094 | + | 9.90303i | −1.09788 | + | 0.705562i | −0.958618 | − | 0.284694i | \(-0.908108\pi\) |
−0.139257 | + | 0.990256i | \(0.544472\pi\) | |||||||
\(198\) | 1.02547 | − | 1.18345i | 0.0728767 | − | 0.0841042i | ||||
\(199\) | 7.02440 | − | 15.3813i | 0.497946 | − | 1.09035i | −0.479185 | − | 0.877714i | \(-0.659068\pi\) |
0.977131 | − | 0.212636i | \(-0.0682050\pi\) | |||||||
\(200\) | 1.16754 | + | 0.750330i | 0.0825573 | + | 0.0530563i | ||||
\(201\) | −1.60635 | + | 0.471665i | −0.113303 | + | 0.0332687i | ||||
\(202\) | 2.97412 | + | 3.43232i | 0.209258 | + | 0.241497i | ||||
\(203\) | −6.01466 | − | 1.76606i | −0.422146 | − | 0.123953i | ||||
\(204\) | −0.189411 | − | 0.414751i | −0.0132614 | − | 0.0290384i | ||||
\(205\) | 0.684802 | − | 4.76290i | 0.0478287 | − | 0.332656i | ||||
\(206\) | 5.49542 | 0.382884 | ||||||||
\(207\) | −1.03469 | + | 4.68288i | −0.0719162 | + | 0.325483i | ||||
\(208\) | −18.6777 | −1.29507 | ||||||||
\(209\) | −1.91193 | + | 13.2978i | −0.132251 | + | 0.919828i | ||||
\(210\) | 0.362696 | + | 0.794193i | 0.0250284 | + | 0.0548045i | ||||
\(211\) | 16.5403 | + | 4.85667i | 1.13868 | + | 0.334347i | 0.796115 | − | 0.605146i | \(-0.206885\pi\) |
0.342568 | + | 0.939493i | \(0.388703\pi\) | |||||||
\(212\) | 5.28714 | + | 6.10169i | 0.363122 | + | 0.419066i | ||||
\(213\) | 10.7844 | − | 3.16657i | 0.738932 | − | 0.216970i | ||||
\(214\) | 0.0470614 | + | 0.0302445i | 0.00321705 | + | 0.00206747i | ||||
\(215\) | −4.06358 | + | 8.89801i | −0.277134 | + | 0.606839i | ||||
\(216\) | −0.908850 | + | 1.04887i | −0.0618394 | + | 0.0713665i | ||||
\(217\) | 7.64501 | − | 4.91315i | 0.518977 | − | 0.333526i | ||||
\(218\) | −0.750251 | − | 5.21811i | −0.0508134 | − | 0.353415i | ||||
\(219\) | −0.995696 | − | 6.92522i | −0.0672829 | − | 0.467963i | ||||
\(220\) | 6.87737 | − | 4.41982i | 0.463672 | − | 0.297984i | ||||
\(221\) | 0.918183 | − | 1.05964i | 0.0617637 | − | 0.0712791i | ||||
\(222\) | 0.694542 | − | 1.52084i | 0.0466146 | − | 0.102072i | ||||
\(223\) | −4.44189 | − | 2.85463i | −0.297451 | − | 0.191160i | 0.383399 | − | 0.923583i | \(-0.374753\pi\) |
−0.680851 | + | 0.732422i | \(0.738390\pi\) | |||||||
\(224\) | 9.20531 | − | 2.70292i | 0.615056 | − | 0.180597i | ||||
\(225\) | −0.654861 | − | 0.755750i | −0.0436574 | − | 0.0503833i | ||||
\(226\) | −0.661977 | − | 0.194374i | −0.0440341 | − | 0.0129296i | ||||
\(227\) | 9.55553 | + | 20.9237i | 0.634223 | + | 1.38875i | 0.904709 | + | 0.426031i | \(0.140088\pi\) |
−0.270486 | + | 0.962724i | \(0.587184\pi\) | |||||||
\(228\) | 0.819131 | − | 5.69718i | 0.0542483 | − | 0.377305i | ||||
\(229\) | −3.87336 | −0.255959 | −0.127979 | − | 0.991777i | \(-0.540849\pi\) | ||||
−0.127979 | + | 0.991777i | \(0.540849\pi\) | |||||||
\(230\) | 0.828843 | − | 1.50622i | 0.0546523 | − | 0.0993173i | ||||
\(231\) | 10.6390 | 0.699998 | ||||||||
\(232\) | −0.508355 | + | 3.53569i | −0.0333751 | + | 0.232129i | ||||
\(233\) | 7.11858 | + | 15.5875i | 0.466353 | + | 1.02117i | 0.985993 | + | 0.166786i | \(0.0533389\pi\) |
−0.519640 | + | 0.854386i | \(0.673934\pi\) | |||||||
\(234\) | −1.97949 | − | 0.581230i | −0.129403 | − | 0.0379962i | ||||
\(235\) | −3.61330 | − | 4.16997i | −0.235705 | − | 0.272019i | ||||
\(236\) | −9.33285 | + | 2.74037i | −0.607517 | + | 0.178383i | ||||
\(237\) | −5.09051 | − | 3.27147i | −0.330664 | − | 0.212505i | ||||
\(238\) | −0.0883643 | + | 0.193491i | −0.00572780 | + | 0.0125421i | ||||
\(239\) | −19.1751 | + | 22.1293i | −1.24034 | + | 1.43142i | −0.377448 | + | 0.926031i | \(0.623198\pi\) |
−0.862889 | + | 0.505394i | \(0.831347\pi\) | |||||||
\(240\) | −2.73026 | + | 1.75463i | −0.176238 | + | 0.113261i | ||||
\(241\) | 4.04628 | + | 28.1425i | 0.260644 | + | 1.81282i | 0.528030 | + | 0.849226i | \(0.322931\pi\) |
−0.267386 | + | 0.963590i | \(0.586160\pi\) | |||||||
\(242\) | 0.412299 | + | 2.86760i | 0.0265036 | + | 0.184336i | ||||
\(243\) | 0.841254 | − | 0.540641i | 0.0539664 | − | 0.0346821i | ||||
\(244\) | 11.5049 | − | 13.2773i | 0.736523 | − | 0.849993i | ||||
\(245\) | 0.443723 | − | 0.971617i | 0.0283484 | − | 0.0620744i | ||||
\(246\) | −1.45113 | − | 0.932586i | −0.0925208 | − | 0.0594595i | ||||
\(247\) | 16.9826 | − | 4.98653i | 1.08058 | − | 0.317285i | ||||
\(248\) | −3.39116 | − | 3.91361i | −0.215339 | − | 0.248514i | ||||
\(249\) | −12.1178 | − | 3.55812i | −0.767937 | − | 0.225487i | ||||
\(250\) | 0.148918 | + | 0.326085i | 0.00941840 | + | 0.0206234i | ||||
\(251\) | −3.56572 | + | 24.8001i | −0.225066 | + | 1.56537i | 0.493398 | + | 0.869804i | \(0.335755\pi\) |
−0.718464 | + | 0.695564i | \(0.755154\pi\) | |||||||
\(252\) | −4.55809 | −0.287133 | ||||||||
\(253\) | −12.4998 | − | 16.8117i | −0.785854 | − | 1.05694i | ||||
\(254\) | −3.65921 | −0.229599 | ||||||||
\(255\) | 0.0346724 | − | 0.241152i | 0.00217127 | − | 0.0151015i | ||||
\(256\) | 2.77530 | + | 6.07705i | 0.173456 | + | 0.379816i | ||||
\(257\) | 6.78768 | + | 1.99304i | 0.423404 | + | 0.124323i | 0.486491 | − | 0.873685i | \(-0.338276\pi\) |
−0.0630874 | + | 0.998008i | \(0.520095\pi\) | |||||||
\(258\) | 2.29637 | + | 2.65015i | 0.142965 | + | 0.164991i | ||||
\(259\) | 10.8990 | − | 3.20025i | 0.677234 | − | 0.198854i | ||||
\(260\) | −9.06069 | − | 5.82295i | −0.561920 | − | 0.361124i | ||||
\(261\) | 1.06919 | − | 2.34120i | 0.0661813 | − | 0.144917i | ||||
\(262\) | −1.37908 | + | 1.59155i | −0.0852000 | + | 0.0983260i | ||||
\(263\) | −2.82175 | + | 1.81343i | −0.173996 | + | 0.111821i | −0.624740 | − | 0.780833i | \(-0.714795\pi\) |
0.450744 | + | 0.892653i | \(0.351159\pi\) | |||||||
\(264\) | −0.862782 | − | 6.00078i | −0.0531005 | − | 0.369322i | ||||
\(265\) | 0.613952 | + | 4.27013i | 0.0377148 | + | 0.262312i | ||||
\(266\) | −2.25893 | + | 1.45173i | −0.138504 | + | 0.0890110i | ||||
\(267\) | 8.31795 | − | 9.59943i | 0.509051 | − | 0.587476i | ||||
\(268\) | −1.30157 | + | 2.85004i | −0.0795060 | + | 0.174094i | ||||
\(269\) | −3.64368 | − | 2.34165i | −0.222159 | − | 0.142773i | 0.424828 | − | 0.905274i | \(-0.360335\pi\) |
−0.646987 | + | 0.762501i | \(0.723971\pi\) | |||||||
\(270\) | −0.343959 | + | 0.100995i | −0.0209327 | + | 0.00614639i | ||||
\(271\) | −12.5561 | − | 14.4905i | −0.762728 | − | 0.880235i | 0.233009 | − | 0.972475i | \(-0.425143\pi\) |
−0.995737 | + | 0.0922399i | \(0.970597\pi\) | |||||||
\(272\) | −0.758670 | − | 0.222766i | −0.0460011 | − | 0.0135072i | ||||
\(273\) | −5.82269 | − | 12.7499i | −0.352405 | − | 0.771660i | ||||
\(274\) | 0.524332 | − | 3.64681i | 0.0316761 | − | 0.220312i | ||||
\(275\) | 4.36825 | 0.263415 | ||||||||
\(276\) | 5.35529 | + | 7.20264i | 0.322350 | + | 0.433548i | ||||
\(277\) | −24.8789 | −1.49483 | −0.747413 | − | 0.664360i | \(-0.768704\pi\) | ||||
−0.747413 | + | 0.664360i | \(0.768704\pi\) | |||||||
\(278\) | 1.01071 | − | 7.02961i | 0.0606181 | − | 0.421608i | ||||
\(279\) | 1.55002 | + | 3.39408i | 0.0927974 | + | 0.203198i | ||||
\(280\) | 3.24325 | + | 0.952304i | 0.193821 | + | 0.0569111i | ||||
\(281\) | 6.69024 | + | 7.72095i | 0.399106 | + | 0.460593i | 0.919359 | − | 0.393419i | \(-0.128708\pi\) |
−0.520253 | + | 0.854012i | \(0.674162\pi\) | |||||||
\(282\) | −1.89785 | + | 0.557258i | −0.113015 | + | 0.0331843i | ||||
\(283\) | −7.78069 | − | 5.00035i | −0.462514 | − | 0.297240i | 0.288555 | − | 0.957463i | \(-0.406825\pi\) |
−0.751069 | + | 0.660223i | \(0.770462\pi\) | |||||||
\(284\) | 8.73821 | − | 19.1340i | 0.518518 | − | 1.13539i | ||||
\(285\) | 2.01402 | − | 2.32431i | 0.119300 | − | 0.137680i | ||||
\(286\) | 7.58133 | − | 4.87223i | 0.448294 | − | 0.288101i | ||||
\(287\) | −1.66786 | − | 11.6002i | −0.0984509 | − | 0.684741i | ||||
\(288\) | 0.560598 | + | 3.89905i | 0.0330336 | + | 0.229753i | ||||
\(289\) | −14.2514 | + | 9.15880i | −0.838316 | + | 0.538753i | ||||
\(290\) | −0.604209 | + | 0.697295i | −0.0354804 | + | 0.0409466i | ||||
\(291\) | 6.06094 | − | 13.2716i | 0.355299 | − | 0.777996i | ||||
\(292\) | −11.0152 | − | 7.07902i | −0.644614 | − | 0.414268i | ||||
\(293\) | −6.24519 | + | 1.83375i | −0.364848 | + | 0.107129i | −0.459018 | − | 0.888427i | \(-0.651799\pi\) |
0.0941697 | + | 0.995556i | \(0.469980\pi\) | |||||||
\(294\) | −0.250751 | − | 0.289383i | −0.0146241 | − | 0.0168771i | ||||
\(295\) | −4.98685 | − | 1.46427i | −0.290346 | − | 0.0852531i | ||||
\(296\) | −2.68891 | − | 5.88790i | −0.156290 | − | 0.342227i | ||||
\(297\) | −0.621667 | + | 4.32379i | −0.0360728 | + | 0.250892i | ||||
\(298\) | 8.01367 | 0.464219 | ||||||||
\(299\) | −13.3062 | + | 24.1808i | −0.769516 | + | 1.39841i | ||||
\(300\) | −1.87149 | −0.108051 | ||||||||
\(301\) | −3.39057 | + | 23.5819i | −0.195429 | + | 1.35924i | ||||
\(302\) | 0.715786 | + | 1.56735i | 0.0411888 | + | 0.0901910i | ||||
\(303\) | −12.1559 | − | 3.56929i | −0.698337 | − | 0.205050i | ||||
\(304\) | −6.53644 | − | 7.54346i | −0.374891 | − | 0.432647i | ||||
\(305\) | 9.00713 | − | 2.64473i | 0.515747 | − | 0.151437i | ||||
\(306\) | −0.0734727 | − | 0.0472180i | −0.00420016 | − | 0.00269928i | ||||
\(307\) | 9.37757 | − | 20.5340i | 0.535206 | − | 1.17194i | −0.428149 | − | 0.903708i | \(-0.640834\pi\) |
0.963355 | − | 0.268230i | \(-0.0864386\pi\) | |||||||
\(308\) | 13.0389 | − | 15.0476i | 0.742958 | − | 0.857419i | ||||
\(309\) | −12.8962 | + | 8.28790i | −0.733641 | + | 0.471482i | ||||
\(310\) | −0.190358 | − | 1.32397i | −0.0108116 | − | 0.0751964i | ||||
\(311\) | 1.07447 | + | 7.47312i | 0.0609277 | + | 0.423762i | 0.997342 | + | 0.0728648i | \(0.0232142\pi\) |
−0.936414 | + | 0.350897i | \(0.885877\pi\) | |||||||
\(312\) | −6.71918 | + | 4.31816i | −0.380399 | + | 0.244468i | ||||
\(313\) | 9.12644 | − | 10.5325i | 0.515857 | − | 0.595331i | −0.436732 | − | 0.899592i | \(-0.643864\pi\) |
0.952589 | + | 0.304261i | \(0.0984095\pi\) | |||||||
\(314\) | 1.69690 | − | 3.71569i | 0.0957616 | − | 0.209689i | ||||
\(315\) | −2.04891 | − | 1.31675i | −0.115443 | − | 0.0741906i | ||||
\(316\) | −10.8659 | + | 3.19051i | −0.611253 | + | 0.179480i | ||||
\(317\) | −15.1013 | − | 17.4279i | −0.848176 | − | 0.978848i | 0.151778 | − | 0.988415i | \(-0.451500\pi\) |
−0.999954 | + | 0.00956707i | \(0.996955\pi\) | |||||||
\(318\) | 1.48385 | + | 0.435699i | 0.0832103 | + | 0.0244328i | ||||
\(319\) | 4.67050 | + | 10.2270i | 0.261498 | + | 0.572600i | ||||
\(320\) | −0.722793 | + | 5.02713i | −0.0404054 | + | 0.281025i | ||||
\(321\) | −0.156053 | −0.00871004 | ||||||||
\(322\) | 0.903384 | − | 4.08859i | 0.0503436 | − | 0.227848i | ||||
\(323\) | 0.749289 | 0.0416916 | ||||||||
\(324\) | 0.266341 | − | 1.85244i | 0.0147967 | − | 0.102913i | ||||
\(325\) | −2.39072 | − | 5.23494i | −0.132613 | − | 0.290382i | ||||
\(326\) | 6.92565 | + | 2.03355i | 0.383576 | + | 0.112628i | ||||
\(327\) | 9.63031 | + | 11.1140i | 0.532557 | + | 0.614604i | ||||
\(328\) | −6.40767 | + | 1.88146i | −0.353804 | + | 0.103886i | ||||
\(329\) | −11.3052 | − | 7.26539i | −0.623274 | − | 0.400554i | ||||
\(330\) | 0.650511 | − | 1.42442i | 0.0358094 | − | 0.0784117i | ||||
\(331\) | −14.3128 | + | 16.5178i | −0.786702 | + | 0.907903i | −0.997574 | − | 0.0696111i | \(-0.977824\pi\) |
0.210872 | + | 0.977514i | \(0.432370\pi\) | |||||||
\(332\) | −19.8837 | + | 12.7785i | −1.09126 | + | 0.701312i | ||||
\(333\) | 0.663746 | + | 4.61645i | 0.0363730 | + | 0.252980i | ||||
\(334\) | 0.0511686 | + | 0.355885i | 0.00279982 | + | 0.0194732i | ||||
\(335\) | −1.40839 | + | 0.905119i | −0.0769487 | + | 0.0494520i | ||||
\(336\) | −5.17632 | + | 5.97380i | −0.282392 | + | 0.325897i | ||||
\(337\) | −0.799974 | + | 1.75170i | −0.0435773 | + | 0.0954211i | −0.930169 | − | 0.367133i | \(-0.880340\pi\) |
0.886591 | + | 0.462554i | \(0.153067\pi\) | |||||||
\(338\) | −6.06769 | − | 3.89947i | −0.330039 | − | 0.212103i | ||||
\(339\) | 1.84662 | − | 0.542217i | 0.100295 | − | 0.0294492i | ||||
\(340\) | −0.298587 | − | 0.344588i | −0.0161932 | − | 0.0186879i | ||||
\(341\) | −15.6389 | − | 4.59198i | −0.846892 | − | 0.248670i | ||||
\(342\) | −0.457997 | − | 1.00287i | −0.0247656 | − | 0.0542292i | ||||
\(343\) | 2.79653 | − | 19.4503i | 0.150998 | − | 1.05022i | ||||
\(344\) | 13.5760 | 0.731966 | ||||||||
\(345\) | 0.326539 | + | 4.78470i | 0.0175803 | + | 0.257600i | ||||
\(346\) | −6.98007 | −0.375251 | ||||||||
\(347\) | −2.21489 | + | 15.4049i | −0.118901 | + | 0.826977i | 0.839868 | + | 0.542791i | \(0.182632\pi\) |
−0.958769 | + | 0.284186i | \(0.908277\pi\) | |||||||
\(348\) | −2.00098 | − | 4.38155i | −0.107264 | − | 0.234875i | ||||
\(349\) | 22.4746 | + | 6.59915i | 1.20304 | + | 0.353244i | 0.821015 | − | 0.570907i | \(-0.193408\pi\) |
0.382026 | + | 0.924152i | \(0.375227\pi\) | |||||||
\(350\) | 0.571754 | + | 0.659839i | 0.0305615 | + | 0.0352699i | ||||
\(351\) | 5.52189 | − | 1.62137i | 0.294737 | − | 0.0865426i | ||||
\(352\) | −14.4756 | − | 9.30288i | −0.771550 | − | 0.495845i | ||||
\(353\) | 6.67361 | − | 14.6132i | 0.355200 | − | 0.777780i | −0.644710 | − | 0.764427i | \(-0.723022\pi\) |
0.999911 | − | 0.0133535i | \(-0.00425068\pi\) | |||||||
\(354\) | −1.22011 | + | 1.40808i | −0.0648480 | + | 0.0748386i | ||||
\(355\) | 9.45539 | − | 6.07661i | 0.501840 | − | 0.322513i | ||||
\(356\) | −3.38303 | − | 23.5295i | −0.179300 | − | 1.24706i | ||||
\(357\) | −0.0844461 | − | 0.587336i | −0.00446936 | − | 0.0310851i | ||||
\(358\) | −0.136507 | + | 0.0877279i | −0.00721463 | + | 0.00463656i | ||||
\(359\) | 2.42078 | − | 2.79372i | 0.127764 | − | 0.147447i | −0.688263 | − | 0.725461i | \(-0.741627\pi\) |
0.816027 | + | 0.578014i | \(0.196172\pi\) | |||||||
\(360\) | −0.576535 | + | 1.26244i | −0.0303861 | + | 0.0665362i | ||||
\(361\) | −8.02667 | − | 5.15843i | −0.422456 | − | 0.271496i | ||||
\(362\) | −2.32928 | + | 0.683939i | −0.122424 | + | 0.0359470i | ||||
\(363\) | −5.29232 | − | 6.10766i | −0.277775 | − | 0.320569i | ||||
\(364\) | −25.1693 | − | 7.39038i | −1.31923 | − | 0.387361i | ||||
\(365\) | −2.90642 | − | 6.36418i | −0.152129 | − | 0.333116i | ||||
\(366\) | 0.478916 | − | 3.33094i | 0.0250334 | − | 0.174111i | ||||
\(367\) | 27.3442 | 1.42736 | 0.713678 | − | 0.700474i | \(-0.247028\pi\) | ||||
0.713678 | + | 0.700474i | \(0.247028\pi\) | |||||||
\(368\) | 15.5214 | + | 1.16096i | 0.809106 | + | 0.0605195i | ||||
\(369\) | 4.81188 | 0.250497 | ||||||||
\(370\) | 0.237940 | − | 1.65491i | 0.0123699 | − | 0.0860345i | ||||
\(371\) | 4.36477 | + | 9.55752i | 0.226608 | + | 0.496202i | ||||
\(372\) | 6.70017 | + | 1.96735i | 0.347387 | + | 0.102002i | ||||
\(373\) | 1.29173 | + | 1.49073i | 0.0668831 | + | 0.0771873i | 0.788205 | − | 0.615413i | \(-0.211011\pi\) |
−0.721322 | + | 0.692600i | \(0.756465\pi\) | |||||||
\(374\) | 0.366057 | − | 0.107484i | 0.0189283 | − | 0.00555786i | ||||
\(375\) | −0.841254 | − | 0.540641i | −0.0434421 | − | 0.0279186i | ||||
\(376\) | −3.18112 | + | 6.96568i | −0.164054 | + | 0.359228i | ||||
\(377\) | 9.69994 | − | 11.1943i | 0.499572 | − | 0.576537i | ||||
\(378\) | −0.734492 | + | 0.472029i | −0.0377782 | + | 0.0242786i | ||||
\(379\) | −2.31196 | − | 16.0801i | −0.118758 | − | 0.825977i | −0.958927 | − | 0.283653i | \(-0.908454\pi\) |
0.840169 | − | 0.542324i | \(-0.182455\pi\) | |||||||
\(380\) | −0.819131 | − | 5.69718i | −0.0420205 | − | 0.292259i | ||||
\(381\) | 8.58715 | − | 5.51863i | 0.439933 | − | 0.282728i | ||||
\(382\) | 2.56982 | − | 2.96573i | 0.131484 | − | 0.151740i | ||||
\(383\) | 9.34429 | − | 20.4611i | 0.477471 | − | 1.04552i | −0.505680 | − | 0.862721i | \(-0.668758\pi\) |
0.983151 | − | 0.182795i | \(-0.0585144\pi\) | |||||||
\(384\) | 8.15927 | + | 5.24364i | 0.416376 | + | 0.267589i | ||||
\(385\) | 10.2081 | − | 2.99737i | 0.520252 | − | 0.152760i | ||||
\(386\) | 0.263709 | + | 0.304337i | 0.0134224 | + | 0.0154903i | ||||
\(387\) | −9.38575 | − | 2.75590i | −0.477104 | − | 0.140090i | ||||
\(388\) | −11.3430 | − | 24.8377i | −0.575854 | − | 1.26094i | ||||
\(389\) | 0.622317 | − | 4.32831i | 0.0315527 | − | 0.219454i | −0.967944 | − | 0.251165i | \(-0.919186\pi\) |
0.999497 | + | 0.0317106i | \(0.0100955\pi\) | |||||||
\(390\) | −2.06306 | −0.104467 | ||||||||
\(391\) | −0.828884 | + | 0.823499i | −0.0419185 | + | 0.0416461i | ||||
\(392\) | −1.48243 | −0.0748738 | ||||||||
\(393\) | 0.836039 | − | 5.81478i | 0.0421726 | − | 0.293317i | ||||
\(394\) | 2.72776 | + | 5.97297i | 0.137423 | + | 0.300914i | ||||
\(395\) | −5.80599 | − | 1.70479i | −0.292131 | − | 0.0857774i | ||||
\(396\) | 5.35358 | + | 6.17836i | 0.269027 | + | 0.310474i | ||||
\(397\) | −17.0294 | + | 5.00028i | −0.854680 | + | 0.250957i | −0.679587 | − | 0.733595i | \(-0.737841\pi\) |
−0.175094 | + | 0.984552i | \(0.556023\pi\) | |||||||
\(398\) | −5.09940 | − | 3.27718i | −0.255610 | − | 0.164270i | ||||
\(399\) | 3.11167 | − | 6.81360i | 0.155778 | − | 0.341106i | ||||
\(400\) | −2.12533 | + | 2.45276i | −0.106266 | + | 0.122638i | ||||
\(401\) | 32.1085 | − | 20.6349i | 1.60342 | − | 1.03046i | 0.637907 | − | 0.770114i | \(-0.279801\pi\) |
0.965516 | − | 0.260343i | \(-0.0838358\pi\) | |||||||
\(402\) | 0.0854107 | + | 0.594044i | 0.00425990 | + | 0.0296282i | ||||
\(403\) | 3.05599 | + | 21.2549i | 0.152230 | + | 1.05878i | ||||
\(404\) | −19.9462 | + | 12.8186i | −0.992358 | + | 0.637750i | ||||
\(405\) | 0.654861 | − | 0.755750i | 0.0325403 | − | 0.0375535i | ||||
\(406\) | −0.933504 | + | 2.04409i | −0.0463290 | + | 0.101446i | ||||
\(407\) | −17.1390 | − | 11.0146i | −0.849549 | − | 0.545972i | ||||
\(408\) | −0.324429 | + | 0.0952609i | −0.0160616 | + | 0.00471612i | ||||
\(409\) | 24.9725 | + | 28.8198i | 1.23481 | + | 1.42505i | 0.869331 | + | 0.494230i | \(0.164550\pi\) |
0.365481 | + | 0.930819i | \(0.380904\pi\) | |||||||
\(410\) | −1.65509 | − | 0.485978i | −0.0817391 | − | 0.0240008i | ||||
\(411\) | 4.26947 | + | 9.34883i | 0.210597 | + | 0.461144i | ||||
\(412\) | −4.08295 | + | 28.3975i | −0.201152 | + | 1.39905i | ||||
\(413\) | −12.6584 | −0.622880 | ||||||||
\(414\) | 1.60885 | + | 0.606049i | 0.0790705 | + | 0.0297857i | ||||
\(415\) | −12.6294 | −0.619954 | ||||||||
\(416\) | −3.22625 | + | 22.4391i | −0.158180 | + | 1.10017i | ||||
\(417\) | 8.22985 | + | 18.0208i | 0.403017 | + | 0.882485i | ||||
\(418\) | 4.62093 | + | 1.35683i | 0.226017 | + | 0.0663646i | ||||
\(419\) | 21.6585 | + | 24.9952i | 1.05809 | + | 1.22110i | 0.974451 | + | 0.224601i | \(0.0721078\pi\) |
0.0836358 | + | 0.996496i | \(0.473347\pi\) | |||||||
\(420\) | −4.37346 | + | 1.28416i | −0.213403 | + | 0.0626608i | ||||
\(421\) | 1.28910 | + | 0.828457i | 0.0628271 | + | 0.0403765i | 0.571677 | − | 0.820479i | \(-0.306293\pi\) |
−0.508850 | + | 0.860855i | \(0.669929\pi\) | |||||||
\(422\) | 2.56714 | − | 5.62125i | 0.124966 | − | 0.273638i | ||||
\(423\) | 3.61330 | − | 4.16997i | 0.175684 | − | 0.202751i | ||||
\(424\) | 5.03680 | − | 3.23695i | 0.244608 | − | 0.157200i | ||||
\(425\) | −0.0346724 | − | 0.241152i | −0.00168186 | − | 0.0116976i | ||||
\(426\) | −0.573413 | − | 3.98818i | −0.0277820 | − | 0.193228i | ||||
\(427\) | 19.2339 | − | 12.3609i | 0.930792 | − | 0.598184i | ||||
\(428\) | −0.191254 | + | 0.220718i | −0.00924459 | + | 0.0106688i | ||||
\(429\) | −10.4433 | + | 22.8675i | −0.504205 | + | 1.10405i | ||||
\(430\) | 2.94998 | + | 1.89584i | 0.142261 | + | 0.0914253i | ||||
\(431\) | −7.84367 | + | 2.30311i | −0.377816 | + | 0.110937i | −0.465126 | − | 0.885244i | \(-0.653991\pi\) |
0.0873101 | + | 0.996181i | \(0.472173\pi\) | |||||||
\(432\) | −2.12533 | − | 2.45276i | −0.102255 | − | 0.118008i | ||||
\(433\) | −24.4480 | − | 7.17857i | −1.17489 | − | 0.344980i | −0.364691 | − | 0.931129i | \(-0.618825\pi\) |
−0.810204 | + | 0.586148i | \(0.800644\pi\) | |||||||
\(434\) | −1.35331 | − | 2.96334i | −0.0649611 | − | 0.142245i | ||||
\(435\) | 0.366289 | − | 2.54760i | 0.0175622 | − | 0.122148i | ||||
\(436\) | 27.5220 | 1.31806 | ||||||||
\(437\) | −14.4226 | + | 3.08826i | −0.689928 | + | 0.147731i | ||||
\(438\) | −2.50808 | −0.119841 | ||||||||
\(439\) | −4.32112 | + | 30.0540i | −0.206236 | + | 1.43440i | 0.579063 | + | 0.815283i | \(0.303419\pi\) |
−0.785299 | + | 0.619117i | \(0.787491\pi\) | |||||||
\(440\) | −2.51845 | − | 5.51463i | −0.120062 | − | 0.262900i | ||||
\(441\) | 1.02488 | + | 0.300931i | 0.0488036 | + | 0.0143300i | ||||
\(442\) | −0.329150 | − | 0.379860i | −0.0156561 | − | 0.0180681i | ||||
\(443\) | −35.9903 | + | 10.5677i | −1.70995 | + | 0.502087i | −0.982844 | − | 0.184436i | \(-0.940954\pi\) |
−0.727108 | + | 0.686524i | \(0.759136\pi\) | |||||||
\(444\) | 7.34288 | + | 4.71898i | 0.348478 | + | 0.223953i | ||||
\(445\) | 5.27655 | − | 11.5540i | 0.250132 | − | 0.547713i | ||||
\(446\) | −1.23952 | + | 1.43049i | −0.0586932 | + | 0.0677356i | ||||
\(447\) | −18.8059 | + | 12.0858i | −0.889487 | + | 0.571639i | ||||
\(448\) | 1.76039 | + | 12.2438i | 0.0831707 | + | 0.578465i | ||||
\(449\) | −5.46684 | − | 38.0227i | −0.257996 | − | 1.79440i | −0.547060 | − | 0.837093i | \(-0.684253\pi\) |
0.289064 | − | 0.957310i | \(-0.406656\pi\) | |||||||
\(450\) | −0.301573 | + | 0.193809i | −0.0142163 | + | 0.00913624i | ||||
\(451\) | −13.7648 | + | 15.8855i | −0.648161 | + | 0.748018i | ||||
\(452\) | 1.49626 | − | 3.27635i | 0.0703781 | − | 0.154106i | ||||
\(453\) | −4.04355 | − | 2.59863i | −0.189983 | − | 0.122094i | ||||
\(454\) | 7.91188 | − | 2.32314i | 0.371323 | − | 0.109030i | ||||
\(455\) | −9.17890 | − | 10.5930i | −0.430313 | − | 0.496608i | ||||
\(456\) | −4.09544 | − | 1.20253i | −0.191787 | − | 0.0563136i | ||||
\(457\) | −4.08248 | − | 8.93939i | −0.190970 | − | 0.418167i | 0.789791 | − | 0.613376i | \(-0.210189\pi\) |
−0.980762 | + | 0.195209i | \(0.937462\pi\) | |||||||
\(458\) | −0.197607 | + | 1.37439i | −0.00923357 | + | 0.0642209i | ||||
\(459\) | 0.243632 | 0.0113718 | ||||||||
\(460\) | 7.16758 | + | 5.40212i | 0.334190 | + | 0.251875i | ||||
\(461\) | 26.3896 | 1.22909 | 0.614543 | − | 0.788883i | \(-0.289340\pi\) | ||||
0.614543 | + | 0.788883i | \(0.289340\pi\) | |||||||
\(462\) | 0.542772 | − | 3.77507i | 0.0252521 | − | 0.175632i | ||||
\(463\) | 14.4497 | + | 31.6405i | 0.671537 | + | 1.47046i | 0.871368 | + | 0.490630i | \(0.163233\pi\) |
−0.199831 | + | 0.979830i | \(0.564039\pi\) | |||||||
\(464\) | −8.01480 | − | 2.35336i | −0.372078 | − | 0.109252i | ||||
\(465\) | 2.44346 | + | 2.81990i | 0.113313 | + | 0.130770i | ||||
\(466\) | 5.89410 | − | 1.73066i | 0.273039 | − | 0.0801715i | ||||
\(467\) | 26.1362 | + | 16.7967i | 1.20944 | + | 0.777259i | 0.980564 | − | 0.196197i | \(-0.0628593\pi\) |
0.228874 | + | 0.973456i | \(0.426496\pi\) | |||||||
\(468\) | 4.47421 | − | 9.79716i | 0.206820 | − | 0.452874i | ||||
\(469\) | −2.67018 | + | 3.08156i | −0.123298 | + | 0.142293i | ||||
\(470\) | −1.66397 | + | 1.06937i | −0.0767534 | + | 0.0493264i | ||||
\(471\) | 1.62166 | + | 11.2789i | 0.0747221 | + | 0.519704i | ||||
\(472\) | 1.02654 | + | 7.13978i | 0.0472506 | + | 0.328635i | ||||
\(473\) | 35.9469 | − | 23.1017i | 1.65284 | − | 1.06222i | ||||
\(474\) | −1.42052 | + | 1.63937i | −0.0652468 | + | 0.0752988i | ||||
\(475\) | 1.27761 | − | 2.79757i | 0.0586207 | − | 0.128361i | ||||
\(476\) | −0.934210 | − | 0.600380i | −0.0428194 | − | 0.0275184i | ||||
\(477\) | −4.13929 | + | 1.21541i | −0.189525 | + | 0.0556496i | ||||
\(478\) | 6.87391 | + | 7.93291i | 0.314405 | + | 0.362843i | ||||
\(479\) | 17.2981 | + | 5.07918i | 0.790370 | + | 0.232074i | 0.651912 | − | 0.758295i | \(-0.273967\pi\) |
0.138458 | + | 0.990368i | \(0.455785\pi\) | |||||||
\(480\) | 1.63638 | + | 3.58317i | 0.0746901 | + | 0.163548i | ||||
\(481\) | −3.81986 | + | 26.5677i | −0.174171 | + | 1.21138i | ||||
\(482\) | 10.1923 | 0.464244 | ||||||||
\(483\) | 4.04621 | + | 10.9572i | 0.184109 | + | 0.498571i | ||||
\(484\) | −15.1246 | −0.687484 | ||||||||
\(485\) | 2.07639 | − | 14.4416i | 0.0942839 | − | 0.655759i | ||||
\(486\) | −0.148918 | − | 0.326085i | −0.00675506 | − | 0.0147915i | ||||
\(487\) | −11.3276 | − | 3.32609i | −0.513303 | − | 0.150719i | 0.0148150 | − | 0.999890i | \(-0.495284\pi\) |
−0.528118 | + | 0.849171i | \(0.677102\pi\) | |||||||
\(488\) | −8.53172 | − | 9.84613i | −0.386213 | − | 0.445714i | ||||
\(489\) | −19.3195 | + | 5.67271i | −0.873657 | + | 0.256529i | ||||
\(490\) | −0.322123 | − | 0.207016i | −0.0145520 | − | 0.00935202i | ||||
\(491\) | 11.6193 | − | 25.4427i | 0.524371 | − | 1.14821i | −0.443386 | − | 0.896331i | \(-0.646223\pi\) |
0.967758 | − | 0.251883i | \(-0.0810497\pi\) | |||||||
\(492\) | 5.89728 | − | 6.80583i | 0.265870 | − | 0.306830i | ||||
\(493\) | 0.527515 | − | 0.339013i | 0.0237581 | − | 0.0152684i | ||||
\(494\) | −0.902977 | − | 6.28034i | −0.0406269 | − | 0.282566i | ||||
\(495\) | 0.621667 | + | 4.32379i | 0.0279418 | + | 0.194340i | ||||
\(496\) | 10.1873 | − | 6.54699i | 0.457424 | − | 0.293969i | ||||
\(497\) | 17.9265 | − | 20.6883i | 0.804116 | − | 0.927999i | ||||
\(498\) | −1.88075 | + | 4.11826i | −0.0842783 | + | 0.184544i | ||||
\(499\) | 20.8623 | + | 13.4074i | 0.933925 | + | 0.600197i | 0.916666 | − | 0.399654i | \(-0.130870\pi\) |
0.0172592 | + | 0.999851i | \(0.494506\pi\) | |||||||
\(500\) | −1.79568 | + | 0.527260i | −0.0803054 | + | 0.0235798i | ||||
\(501\) | −0.656806 | − | 0.757994i | −0.0293439 | − | 0.0338647i | ||||
\(502\) | 8.61794 | + | 2.53045i | 0.384637 | + | 0.112940i | ||||
\(503\) | 0.916459 | + | 2.00677i | 0.0408629 | + | 0.0894773i | 0.928963 | − | 0.370174i | \(-0.120702\pi\) |
−0.888100 | + | 0.459651i | \(0.847975\pi\) | |||||||
\(504\) | −0.481048 | + | 3.34577i | −0.0214276 | + | 0.149032i | ||||
\(505\) | −12.6691 | −0.563766 | ||||||||
\(506\) | −6.60301 | + | 3.57763i | −0.293539 | + | 0.159045i | ||||
\(507\) | 20.1202 | 0.893568 | ||||||||
\(508\) | 2.71869 | − | 18.9089i | 0.120623 | − | 0.838948i | ||||
\(509\) | −5.36484 | − | 11.7474i | −0.237792 | − | 0.520692i | 0.752683 | − | 0.658383i | \(-0.228759\pi\) |
−0.990475 | + | 0.137691i | \(0.956032\pi\) | |||||||
\(510\) | −0.0837994 | − | 0.0246057i | −0.00371070 | − | 0.00108956i | ||||
\(511\) | −11.1589 | − | 12.8780i | −0.493640 | − | 0.569691i | ||||
\(512\) | 20.9100 | − | 6.13974i | 0.924102 | − | 0.271341i | ||||
\(513\) | 2.58727 | + | 1.66274i | 0.114231 | + | 0.0734117i | ||||
\(514\) | 1.05348 | − | 2.30680i | 0.0464671 | − | 0.101749i | ||||
\(515\) | −10.0389 | + | 11.5855i | −0.442365 | + | 0.510517i | ||||
\(516\) | −15.4008 | + | 9.89746i | −0.677980 | + | 0.435711i | ||||
\(517\) | 3.43014 | + | 23.8572i | 0.150857 | + | 1.04924i | ||||
\(518\) | −0.579511 | − | 4.03059i | −0.0254623 | − | 0.177094i | ||||
\(519\) | 16.3803 | − | 10.5270i | 0.719016 | − | 0.462083i | ||||
\(520\) | −5.23044 | + | 6.03625i | −0.229370 | + | 0.264707i | ||||
\(521\) | −14.1235 | + | 30.9262i | −0.618763 | + | 1.35490i | 0.297653 | + | 0.954674i | \(0.403796\pi\) |
−0.916416 | + | 0.400227i | \(0.868931\pi\) | |||||||
\(522\) | −0.776185 | − | 0.498824i | −0.0339727 | − | 0.0218329i | ||||
\(523\) | −4.41087 | + | 1.29515i | −0.192874 | + | 0.0566328i | −0.376743 | − | 0.926318i | \(-0.622956\pi\) |
0.183869 | + | 0.982951i | \(0.441138\pi\) | |||||||
\(524\) | −7.19968 | − | 8.30887i | −0.314519 | − | 0.362975i | ||||
\(525\) | −2.33688 | − | 0.686171i | −0.101990 | − | 0.0299470i | ||||
\(526\) | 0.499503 | + | 1.09376i | 0.0217794 | + | 0.0476902i | ||||
\(527\) | −0.129372 | + | 0.899802i | −0.00563553 | + | 0.0391960i | ||||
\(528\) | 14.1770 | 0.616975 | ||||||||
\(529\) | 12.5606 | − | 19.2674i | 0.546113 | − | 0.837712i | ||||
\(530\) | 1.54650 | 0.0671755 | ||||||||
\(531\) | 0.739664 | − | 5.14448i | 0.0320987 | − | 0.223251i | ||||
\(532\) | −5.82346 | − | 12.7516i | −0.252479 | − | 0.552852i | ||||
\(533\) | 26.5707 | + | 7.80186i | 1.15091 | + | 0.337936i | ||||
\(534\) | −2.98182 | − | 3.44120i | −0.129036 | − | 0.148915i | ||||
\(535\) | −0.149732 | + | 0.0439653i | −0.00647348 | + | 0.00190078i | ||||
\(536\) | 1.95464 | + | 1.25617i | 0.0844277 | + | 0.0542584i | ||||
\(537\) | 0.188038 | − | 0.411746i | 0.00811445 | − | 0.0177682i | ||||
\(538\) | −1.01678 | + | 1.17343i | −0.0438365 | + | 0.0505900i | ||||
\(539\) | −3.92522 | + | 2.52258i | −0.169071 | + | 0.108655i | ||||
\(540\) | −0.266341 | − | 1.85244i | −0.0114615 | − | 0.0797165i | ||||
\(541\) | 0.193137 | + | 1.34330i | 0.00830360 | + | 0.0577528i | 0.993552 | − | 0.113378i | \(-0.0361671\pi\) |
−0.985248 | + | 0.171131i | \(0.945258\pi\) | |||||||
\(542\) | −5.78225 | + | 3.71603i | −0.248369 | + | 0.159617i | ||||
\(543\) | 4.43470 | − | 5.11792i | 0.190311 | − | 0.219631i | ||||
\(544\) | −0.398674 | + | 0.872974i | −0.0170930 | + | 0.0374285i | ||||
\(545\) | 12.3714 | + | 7.95060i | 0.529932 | + | 0.340566i | ||||
\(546\) | −4.82112 | + | 1.41561i | −0.206325 | + | 0.0605825i | ||||
\(547\) | 12.0302 | + | 13.8836i | 0.514376 | + | 0.593621i | 0.952214 | − | 0.305433i | \(-0.0988011\pi\) |
−0.437838 | + | 0.899054i | \(0.644256\pi\) | |||||||
\(548\) | 18.4553 | + | 5.41897i | 0.788372 | + | 0.231487i | ||||
\(549\) | 3.89966 | + | 8.53906i | 0.166433 | + | 0.364438i | ||||
\(550\) | 0.222855 | − | 1.54999i | 0.00950257 | − | 0.0660918i | ||||
\(551\) | 7.91569 | 0.337220 | ||||||||
\(552\) | 5.85211 | − | 3.17078i | 0.249083 | − | 0.134957i | ||||
\(553\) | −14.7377 | −0.626711 | ||||||||
\(554\) | −1.26925 | + | 8.82779i | −0.0539251 | + | 0.375057i | ||||
\(555\) | 1.93746 | + | 4.24245i | 0.0822408 | + | 0.180082i | ||||
\(556\) | 35.5745 | + | 10.4456i | 1.50870 | + | 0.442993i | ||||
\(557\) | −13.2499 | − | 15.2912i | −0.561417 | − | 0.647910i | 0.402088 | − | 0.915601i | \(-0.368285\pi\) |
−0.963505 | + | 0.267691i | \(0.913739\pi\) | |||||||
\(558\) | 1.28340 | − | 0.376841i | 0.0543307 | − | 0.0159529i | ||||
\(559\) | −47.3587 | − | 30.4356i | −2.00306 | − | 1.28729i | ||||
\(560\) | −3.28363 | + | 7.19015i | −0.138759 | + | 0.303839i | ||||
\(561\) | −0.696932 | + | 0.804302i | −0.0294245 | + | 0.0339577i | ||||
\(562\) | 3.08095 | − | 1.98001i | 0.129962 | − | 0.0835215i | ||||
\(563\) | 3.60786 | + | 25.0932i | 0.152053 | + | 1.05755i | 0.912772 | + | 0.408470i | \(0.133938\pi\) |
−0.760718 | + | 0.649082i | \(0.775153\pi\) | |||||||
\(564\) | −1.46958 | − | 10.2211i | −0.0618804 | − | 0.430388i | ||||
\(565\) | 1.61906 | − | 1.04051i | 0.0681144 | − | 0.0437745i | ||||
\(566\) | −2.17123 | + | 2.50573i | −0.0912635 | + | 0.105324i | ||||
\(567\) | 1.01176 | − | 2.21545i | 0.0424899 | − | 0.0930400i | ||||
\(568\) | −13.1227 | − | 8.43344i | −0.550616 | − | 0.353859i | ||||
\(569\) | 24.0428 | − | 7.05959i | 1.00792 | − | 0.295953i | 0.264220 | − | 0.964462i | \(-0.414885\pi\) |
0.743704 | + | 0.668509i | \(0.233067\pi\) | |||||||
\(570\) | −0.721987 | − | 0.833217i | −0.0302407 | − | 0.0348996i | ||||
\(571\) | −20.2425 | − | 5.94373i | −0.847122 | − | 0.248737i | −0.170765 | − | 0.985312i | \(-0.554624\pi\) |
−0.676357 | + | 0.736574i | \(0.736442\pi\) | |||||||
\(572\) | 19.5445 | + | 42.7964i | 0.817195 | + | 1.78941i | ||||
\(573\) | −1.55790 | + | 10.8354i | −0.0650822 | + | 0.452657i | ||||
\(574\) | −4.20122 | −0.175355 | ||||||||
\(575\) | 1.66132 | + | 4.49889i | 0.0692818 | + | 0.187617i | ||||
\(576\) | −5.07883 | −0.211618 | ||||||||
\(577\) | −5.64903 | + | 39.2898i | −0.235172 | + | 1.63566i | 0.440000 | + | 0.897998i | \(0.354978\pi\) |
−0.675172 | + | 0.737660i | \(0.735931\pi\) | |||||||
\(578\) | 2.52277 | + | 5.52409i | 0.104933 | + | 0.229772i | ||||
\(579\) | −1.07784 | − | 0.316482i | −0.0447934 | − | 0.0131525i | ||||
\(580\) | −3.15435 | − | 3.64032i | −0.130977 | − | 0.151156i | ||||
\(581\) | −29.5135 | + | 8.66594i | −1.22443 | + | 0.359524i | ||||
\(582\) | −4.39997 | − | 2.82769i | −0.182385 | − | 0.117212i | ||||
\(583\) | 7.82841 | − | 17.1418i | 0.324220 | − | 0.709942i | ||||
\(584\) | −6.35871 | + | 7.33834i | −0.263125 | + | 0.303663i | ||||
\(585\) | 4.84142 | − | 3.11139i | 0.200168 | − | 0.128640i | ||||
\(586\) | 0.332062 | + | 2.30954i | 0.0137174 | + | 0.0954063i | ||||
\(587\) | −5.73518 | − | 39.8890i | −0.236716 | − | 1.64640i | −0.667986 | − | 0.744173i | \(-0.732844\pi\) |
0.431270 | − | 0.902223i | \(-0.358065\pi\) | |||||||
\(588\) | 1.68168 | − | 1.08075i | 0.0693515 | − | 0.0445695i | ||||
\(589\) | −7.51485 | + | 8.67260i | −0.309644 | + | 0.357348i | ||||
\(590\) | −0.773983 | + | 1.69479i | −0.0318644 | + | 0.0697733i | ||||
\(591\) | −15.4094 | − | 9.90303i | −0.633859 | − | 0.407356i | ||||
\(592\) | 14.5235 | − | 4.26448i | 0.596911 | − | 0.175269i | ||||
\(593\) | 2.16612 | + | 2.49984i | 0.0889520 | + | 0.102656i | 0.798481 | − | 0.602021i | \(-0.205638\pi\) |
−0.709529 | + | 0.704677i | \(0.751092\pi\) | |||||||
\(594\) | 1.50250 | + | 0.441173i | 0.0616483 | + | 0.0181016i | ||||
\(595\) | −0.246497 | − | 0.539753i | −0.0101054 | − | 0.0221277i | ||||
\(596\) | −5.95394 | + | 41.4106i | −0.243883 | + | 1.69624i | ||||
\(597\) | 16.9093 | 0.692053 | ||||||||
\(598\) | 7.90125 | + | 5.95508i | 0.323106 | + | 0.243521i | ||||
\(599\) | 18.6014 | 0.760034 | 0.380017 | − | 0.924979i | \(-0.375918\pi\) | ||||
0.380017 | + | 0.924979i | \(0.375918\pi\) | |||||||
\(600\) | −0.197512 | + | 1.37373i | −0.00806339 | + | 0.0560821i | ||||
\(601\) | −12.6369 | − | 27.6709i | −0.515469 | − | 1.12872i | −0.971127 | − | 0.238565i | \(-0.923323\pi\) |
0.455657 | − | 0.890155i | \(-0.349404\pi\) | |||||||
\(602\) | 8.19463 | + | 2.40616i | 0.333988 | + | 0.0980677i | ||||
\(603\) | −1.09634 | − | 1.26525i | −0.0446465 | − | 0.0515248i | ||||
\(604\) | −8.63109 | + | 2.53432i | −0.351194 | + | 0.103120i | ||||
\(605\) | −6.79867 | − | 4.36924i | −0.276405 | − | 0.177635i | ||||
\(606\) | −1.88665 | + | 4.13119i | −0.0766399 | + | 0.167818i | ||||
\(607\) | 3.30573 | − | 3.81501i | 0.134175 | − | 0.154846i | −0.684686 | − | 0.728839i | \(-0.740061\pi\) |
0.818861 | + | 0.573992i | \(0.194606\pi\) | |||||||
\(608\) | −10.1916 | + | 6.54976i | −0.413325 | + | 0.265628i | ||||
\(609\) | −0.892111 | − | 6.20477i | −0.0361502 | − | 0.251430i | ||||
\(610\) | −0.478916 | − | 3.33094i | −0.0193908 | − | 0.134866i | ||||
\(611\) | 26.7133 | − | 17.1676i | 1.08071 | − | 0.694527i | ||||
\(612\) | 0.298587 | − | 0.344588i | 0.0120697 | − | 0.0139291i | ||||
\(613\) | 9.22651 | − | 20.2032i | 0.372655 | − | 0.816001i | −0.626670 | − | 0.779284i | \(-0.715583\pi\) |
0.999326 | − | 0.0367168i | \(-0.0116899\pi\) | |||||||
\(614\) | −6.80769 | − | 4.37504i | −0.274736 | − | 0.176562i | ||||
\(615\) | 4.61697 | − | 1.35566i | 0.186174 | − | 0.0546656i | ||||
\(616\) | −9.66930 | − | 11.1590i | −0.389587 | − | 0.449608i | ||||
\(617\) | −24.7678 | − | 7.27249i | −0.997115 | − | 0.292779i | −0.257843 | − | 0.966187i | \(-0.583012\pi\) |
−0.739272 | + | 0.673407i | \(0.764830\pi\) | |||||||
\(618\) | 2.28288 | + | 4.99881i | 0.0918309 | + | 0.201082i | ||||
\(619\) | −0.155343 | + | 1.08044i | −0.00624378 | + | 0.0434265i | −0.992705 | − | 0.120567i | \(-0.961529\pi\) |
0.986461 | + | 0.163994i | \(0.0524377\pi\) | |||||||
\(620\) | 6.98303 | 0.280445 | ||||||||
\(621\) | −4.68953 | + | 1.00415i | −0.188184 | + | 0.0402951i | ||||
\(622\) | 2.70651 | 0.108521 | ||||||||
\(623\) | 4.40264 | − | 30.6210i | 0.176388 | − | 1.22681i | ||||
\(624\) | −7.75900 | − | 16.9898i | −0.310608 | − | 0.680138i | ||||
\(625\) | −0.959493 | − | 0.281733i | −0.0383797 | − | 0.0112693i | ||||
\(626\) | −3.27165 | − | 3.77568i | −0.130761 | − | 0.150907i | ||||
\(627\) | −12.8903 | + | 3.78495i | −0.514791 | + | 0.151156i | ||||
\(628\) | 17.9401 | + | 11.5294i | 0.715887 | + | 0.460072i | ||||
\(629\) | −0.472028 | + | 1.03360i | −0.0188210 | + | 0.0412122i | ||||
\(630\) | −0.571754 | + | 0.659839i | −0.0227792 | + | 0.0262886i | ||||
\(631\) | 34.8445 | − | 22.3932i | 1.38714 | − | 0.891460i | 0.387601 | − | 0.921827i | \(-0.373304\pi\) |
0.999539 | + | 0.0303670i | \(0.00966759\pi\) | |||||||
\(632\) | 1.19517 | + | 8.31256i | 0.0475411 | + | 0.330656i | ||||
\(633\) | 2.45331 | + | 17.0631i | 0.0975102 | + | 0.678199i | ||||
\(634\) | −6.95438 | + | 4.46931i | −0.276194 | + | 0.177499i | ||||
\(635\) | 6.68454 | − | 7.71436i | 0.265268 | − | 0.306135i | ||||
\(636\) | −3.35393 | + | 7.34409i | −0.132992 | + | 0.291212i | ||||
\(637\) | 5.17134 | + | 3.32342i | 0.204896 | + | 0.131679i | ||||
\(638\) | 3.86712 | − | 1.13549i | 0.153101 | − | 0.0449544i | ||||
\(639\) | 7.36040 | + | 8.49435i | 0.291173 | + | 0.336031i | ||||
\(640\) | 9.30606 | + | 2.73251i | 0.367855 | + | 0.108012i | ||||
\(641\) | −9.50959 | − | 20.8231i | −0.375606 | − | 0.822463i | −0.999172 | − | 0.0406917i | \(-0.987044\pi\) |
0.623566 | − | 0.781771i | \(-0.285683\pi\) | |||||||
\(642\) | −0.00796137 | + | 0.0553726i | −0.000314210 | + | 0.00218538i | ||||
\(643\) | −14.1854 | −0.559417 | −0.279708 | − | 0.960085i | \(-0.590238\pi\) | ||||
−0.279708 | + | 0.960085i | \(0.590238\pi\) | |||||||
\(644\) | 20.4566 | + | 7.70594i | 0.806102 | + | 0.303657i | ||||
\(645\) | −9.78199 | −0.385165 | ||||||||
\(646\) | 0.0382265 | − | 0.265871i | 0.00150400 | − | 0.0104606i | ||||
\(647\) | 1.62233 | + | 3.55240i | 0.0637802 | + | 0.139659i | 0.938838 | − | 0.344360i | \(-0.111904\pi\) |
−0.875058 | + | 0.484019i | \(0.839177\pi\) | |||||||
\(648\) | −1.33163 | − | 0.391003i | −0.0523116 | − | 0.0153601i | ||||
\(649\) | 14.8676 | + | 17.1581i | 0.583604 | + | 0.673515i | ||||
\(650\) | −1.97949 | + | 0.581230i | −0.0776419 | + | 0.0227977i | ||||
\(651\) | 7.64501 | + | 4.91315i | 0.299632 | + | 0.192562i | ||||
\(652\) | −15.6539 | + | 34.2774i | −0.613056 | + | 1.34240i | ||||
\(653\) | −1.01656 | + | 1.17317i | −0.0397811 | + | 0.0459099i | −0.775291 | − | 0.631604i | \(-0.782397\pi\) |
0.735510 | + | 0.677514i | \(0.236942\pi\) | |||||||
\(654\) | 4.43489 | − | 2.85013i | 0.173418 | − | 0.111449i | ||||
\(655\) | −0.836039 | − | 5.81478i | −0.0326667 | − | 0.227202i | ||||
\(656\) | −2.22250 | − | 15.4578i | −0.0867742 | − | 0.603528i | ||||
\(657\) | 5.88577 | − | 3.78255i | 0.229626 | − | 0.147572i | ||||
\(658\) | −3.15474 | + | 3.64077i | −0.122985 | + | 0.141932i | ||||
\(659\) | −4.58891 | + | 10.0483i | −0.178758 | + | 0.391426i | −0.977707 | − | 0.209973i | \(-0.932663\pi\) |
0.798949 | + | 0.601399i | \(0.205390\pi\) | |||||||
\(660\) | 6.87737 | + | 4.41982i | 0.267701 | + | 0.172041i | ||||
\(661\) | 8.55691 | − | 2.51254i | 0.332825 | − | 0.0977263i | −0.111050 | − | 0.993815i | \(-0.535421\pi\) |
0.443875 | + | 0.896088i | \(0.353603\pi\) | |||||||
\(662\) | 5.13085 | + | 5.92132i | 0.199416 | + | 0.230138i | ||||
\(663\) | 1.34531 | + | 0.395019i | 0.0522475 | + | 0.0153412i | ||||
\(664\) | 7.28130 | + | 15.9438i | 0.282569 | + | 0.618740i | ||||
\(665\) | 1.06601 | − | 7.41426i | 0.0413381 | − | 0.287512i | ||||
\(666\) | 1.67192 | 0.0647857 | ||||||||
\(667\) | −8.75656 | + | 8.69967i | −0.339055 | + | 0.336852i | ||||
\(668\) | −1.87705 | −0.0726253 | ||||||||
\(669\) | 0.751435 | − | 5.22635i | 0.0290522 | − | 0.202062i | ||||
\(670\) | 0.249313 | + | 0.545918i | 0.00963179 | + | 0.0210907i | ||||
\(671\) | −39.3454 | − | 11.5528i | −1.51891 | − | 0.445992i | ||||
\(672\) | 6.28269 | + | 7.25061i | 0.242360 | + | 0.279698i | ||||
\(673\) | 12.7853 | − | 3.75409i | 0.492836 | − | 0.144710i | −0.0258651 | − | 0.999665i | \(-0.508234\pi\) |
0.518701 | + | 0.854956i | \(0.326416\pi\) | |||||||
\(674\) | 0.580745 | + | 0.373222i | 0.0223695 | + | 0.0143760i | ||||
\(675\) | 0.415415 | − | 0.909632i | 0.0159893 | − | 0.0350118i | ||||
\(676\) | 24.6586 | − | 28.4576i | 0.948408 | − | 1.09452i | ||||
\(677\) | 8.04579 | − | 5.17072i | 0.309225 | − | 0.198727i | −0.376819 | − | 0.926287i | \(-0.622982\pi\) |
0.686044 | + | 0.727560i | \(0.259346\pi\) | |||||||
\(678\) | −0.0981864 | − | 0.682902i | −0.00377083 | − | 0.0262267i | ||||
\(679\) | −5.05712 | − | 35.1731i | −0.194075 | − | 1.34982i | ||||
\(680\) | −0.284449 | + | 0.182804i | −0.0109081 | + | 0.00701022i | ||||
\(681\) | −15.0634 | + | 17.3840i | −0.577229 | + | 0.666158i | ||||
\(682\) | −2.42723 | + | 5.31489i | −0.0929433 | + | 0.203517i | ||||
\(683\) | −31.3127 | − | 20.1234i | −1.19815 | − | 0.770002i | −0.219512 | − | 0.975610i | \(-0.570447\pi\) |
−0.978634 | + | 0.205608i | \(0.934083\pi\) | |||||||
\(684\) | 5.52262 | − | 1.62159i | 0.211163 | − | 0.0620029i | ||||
\(685\) | 6.73039 | + | 7.76729i | 0.257155 | + | 0.296773i | ||||
\(686\) | −6.75890 | − | 1.98459i | −0.258056 | − | 0.0757720i | ||||
\(687\) | −1.60905 | − | 3.52333i | −0.0613891 | − | 0.134423i | ||||
\(688\) | −4.51808 | + | 31.4240i | −0.172250 | + | 1.19803i | ||||
\(689\) | −24.8273 | −0.945847 | ||||||||
\(690\) | 1.71442 | + | 0.128235i | 0.0652669 | + | 0.00488183i | ||||
\(691\) | 5.50408 | 0.209385 | 0.104693 | − | 0.994505i | \(-0.466614\pi\) | ||||
0.104693 | + | 0.994505i | \(0.466614\pi\) | |||||||
\(692\) | 5.18601 | − | 36.0695i | 0.197142 | − | 1.37116i | ||||
\(693\) | 4.41962 | + | 9.67762i | 0.167887 | + | 0.367622i | ||||
\(694\) | 5.35313 | + | 1.57182i | 0.203202 | + | 0.0596655i | ||||
\(695\) | 12.9735 | + | 14.9723i | 0.492114 | + | 0.567930i | ||||
\(696\) | −3.42735 | + | 1.00636i | −0.129913 | + | 0.0381460i | ||||
\(697\) | 0.986225 | + | 0.633808i | 0.0373559 | + | 0.0240072i | ||||
\(698\) | 3.48817 | − | 7.63804i | 0.132029 | − | 0.289104i | ||||
\(699\) | −11.2217 | + | 12.9506i | −0.424445 | + | 0.489836i | ||||
\(700\) | −3.83451 | + | 2.46429i | −0.144931 | + | 0.0931415i | ||||
\(701\) | −3.88234 | − | 27.0023i | −0.146634 | − | 1.01986i | −0.921678 | − | 0.387955i | \(-0.873182\pi\) |
0.775044 | − | 0.631907i | \(-0.217727\pi\) | |||||||
\(702\) | −0.293604 | − | 2.04206i | −0.0110814 | − | 0.0770725i | ||||
\(703\) | −12.0668 | + | 7.75489i | −0.455110 | + | 0.292481i | ||||
\(704\) | 14.5285 | − | 16.7668i | 0.547562 | − | 0.631921i | ||||
\(705\) | 2.29212 | − | 5.01904i | 0.0863261 | − | 0.189028i | ||||
\(706\) | −4.84474 | − | 3.11353i | −0.182334 | − | 0.117179i | ||||
\(707\) | −29.6061 | + | 8.69314i | −1.11345 | + | 0.326939i | ||||
\(708\) | −6.36973 | − | 7.35107i | −0.239389 | − | 0.276270i | ||||
\(709\) | −19.2224 | − | 5.64420i | −0.721912 | − | 0.211973i | −0.0999194 | − | 0.994996i | \(-0.531858\pi\) |
−0.621993 | + | 0.783023i | \(0.713677\pi\) | |||||||
\(710\) | −1.67378 | − | 3.66508i | −0.0628160 | − | 0.137548i | ||||
\(711\) | 0.861162 | − | 5.98951i | 0.0322961 | − | 0.224624i | ||||
\(712\) | −17.6283 | −0.660649 | ||||||||
\(713\) | −1.21840 | − | 17.8530i | −0.0456295 | − | 0.668599i | ||||
\(714\) | −0.212713 | −0.00796059 | ||||||||
\(715\) | −3.57770 | + | 24.8834i | −0.133798 | + | 0.930588i | ||||
\(716\) | −0.351912 | − | 0.770580i | −0.0131516 | − | 0.0287979i | ||||
\(717\) | −28.0952 | − | 8.24948i | −1.04923 | − | 0.308083i | ||||
\(718\) | −0.867800 | − | 1.00149i | −0.0323860 | − | 0.0373754i | ||||
\(719\) | 18.0595 | − | 5.30276i | 0.673508 | − | 0.197760i | 0.0729432 | − | 0.997336i | \(-0.476761\pi\) |
0.600564 | + | 0.799576i | \(0.294943\pi\) | |||||||
\(720\) | −2.73026 | − | 1.75463i | −0.101751 | − | 0.0653913i | ||||
\(721\) | −15.5101 | + | 33.9623i | −0.577625 | + | 1.26482i | ||||
\(722\) | −2.23987 | + | 2.58494i | −0.0833592 | + | 0.0962017i | ||||
\(723\) | −23.9184 | + | 15.3714i | −0.889535 | + | 0.571669i | ||||
\(724\) | −1.80365 | − | 12.5447i | −0.0670323 | − | 0.466220i | ||||
\(725\) | −0.366289 | − | 2.54760i | −0.0136036 | − | 0.0946153i | ||||
\(726\) | −2.43719 | + | 1.56629i | −0.0904525 | + | 0.0581303i | ||||
\(727\) | −5.99590 | + | 6.91964i | −0.222376 | + | 0.256635i | −0.855964 | − | 0.517035i | \(-0.827036\pi\) |
0.633589 | + | 0.773670i | \(0.281581\pi\) | |||||||
\(728\) | −8.08104 | + | 17.6950i | −0.299503 | + | 0.655821i | ||||
\(729\) | 0.841254 | + | 0.540641i | 0.0311575 | + | 0.0200237i | ||||
\(730\) | −2.40649 | + | 0.706608i | −0.0890680 | + | 0.0261527i | ||||
\(731\) | −1.56067 | − | 1.80111i | −0.0577233 | − | 0.0666163i | ||||
\(732\) | 16.8568 | + | 4.94959i | 0.623044 | + | 0.182942i | ||||
\(733\) | −18.5676 | − | 40.6573i | −0.685809 | − | 1.50171i | −0.856368 | − | 0.516366i | \(-0.827285\pi\) |
0.170559 | − | 0.985347i | \(-0.445443\pi\) | |||||||
\(734\) | 1.39502 | − | 9.70258i | 0.0514911 | − | 0.358129i | ||||
\(735\) | 1.06814 | 0.0393991 | ||||||||
\(736\) | 4.07581 | − | 18.4465i | 0.150236 | − | 0.679948i | ||||
\(737\) | 7.31315 | 0.269383 | ||||||||
\(738\) | 0.245488 | − | 1.70741i | 0.00903654 | − | 0.0628505i | ||||
\(739\) | −0.584961 | − | 1.28089i | −0.0215181 | − | 0.0471182i | 0.898568 | − | 0.438835i | \(-0.144609\pi\) |
−0.920086 | + | 0.391717i | \(0.871881\pi\) | |||||||
\(740\) | 8.37493 | + | 2.45910i | 0.307869 | + | 0.0903984i | ||||
\(741\) | 11.5907 | + | 13.3764i | 0.425796 | + | 0.491395i | ||||
\(742\) | 3.61398 | − | 1.06116i | 0.132674 | − | 0.0389565i | ||||
\(743\) | −33.7727 | − | 21.7044i | −1.23900 | − | 0.796258i | −0.253733 | − | 0.967274i | \(-0.581659\pi\) |
−0.985268 | + | 0.171016i | \(0.945295\pi\) | |||||||
\(744\) | 2.15120 | − | 4.71048i | 0.0788669 | − | 0.172694i | ||||
\(745\) | −14.6391 | + | 16.8945i | −0.536336 | + | 0.618965i | ||||
\(746\) | 0.594859 | − | 0.382293i | 0.0217793 | − | 0.0139967i | ||||
\(747\) | −1.79735 | − | 12.5009i | −0.0657617 | − | 0.457383i | ||||
\(748\) | 0.283452 | + | 1.97145i | 0.0103640 | + | 0.0720834i | ||||
\(749\) | −0.319739 | + | 0.205483i | −0.0116830 | + | 0.00750820i | ||||
\(750\) | −0.234755 | + | 0.270921i | −0.00857202 | + | 0.00989264i | ||||
\(751\) | 14.4021 | − | 31.5361i | 0.525539 | − | 1.15077i | −0.441761 | − | 0.897133i | \(-0.645646\pi\) |
0.967300 | − | 0.253636i | \(-0.0816266\pi\) | |||||||
\(752\) | −15.0646 | − | 9.68146i | −0.549351 | − | 0.353046i | ||||
\(753\) | −24.0402 | + | 7.05884i | −0.876074 | + | 0.257239i | ||||
\(754\) | −3.47723 | − | 4.01294i | −0.126633 | − | 0.146143i | ||||
\(755\) | −4.61188 | − | 1.35417i | −0.167843 | − | 0.0492833i | ||||
\(756\) | −1.89350 | − | 4.14619i | −0.0688660 | − | 0.150795i | ||||
\(757\) | 2.68026 | − | 18.6416i | 0.0974157 | − | 0.677541i | −0.881336 | − | 0.472491i | \(-0.843355\pi\) |
0.978751 | − | 0.205051i | \(-0.0657359\pi\) | |||||||
\(758\) | −5.82366 | −0.211525 | ||||||||
\(759\) | 10.0998 | − | 18.3540i | 0.366601 | − | 0.666209i | ||||
\(760\) | −4.26834 | −0.154829 | ||||||||
\(761\) | 0.952259 | − | 6.62311i | 0.0345194 | − | 0.240088i | −0.965255 | − | 0.261308i | \(-0.915846\pi\) |
0.999775 | + | 0.0212206i | \(0.00675523\pi\) | |||||||
\(762\) | −1.52009 | − | 3.32853i | −0.0550671 | − | 0.120580i | ||||
\(763\) | 34.3660 | + | 10.0908i | 1.24413 | + | 0.365310i | ||||
\(764\) | 13.4161 | + | 15.4830i | 0.485377 | + | 0.560155i | ||||
\(765\) | 0.233763 | − | 0.0686390i | 0.00845172 | − | 0.00248165i | ||||
\(766\) | −6.78354 | − | 4.35951i | −0.245099 | − | 0.157516i | ||||
\(767\) | 12.4255 | − | 27.2080i | 0.448658 | − | 0.982423i | ||||
\(768\) | −4.37498 | + | 5.04900i | −0.157869 | + | 0.182190i | ||||
\(769\) | −14.5000 | + | 9.31856i | −0.522882 | + | 0.336036i | −0.775311 | − | 0.631579i | \(-0.782407\pi\) |
0.252429 | + | 0.967615i | \(0.418771\pi\) | |||||||
\(770\) | −0.542772 | − | 3.77507i | −0.0195602 | − | 0.136044i | ||||
\(771\) | 1.00677 | + | 7.00223i | 0.0362579 | + | 0.252179i | ||||
\(772\) | −1.76859 | + | 1.13660i | −0.0636528 | + | 0.0409072i | ||||
\(773\) | −25.4898 | + | 29.4168i | −0.916803 | + | 1.05805i | 0.0813126 | + | 0.996689i | \(0.474089\pi\) |
−0.998116 | + | 0.0613586i | \(0.980457\pi\) | |||||||
\(774\) | −1.45671 | + | 3.18976i | −0.0523605 | + | 0.114653i | ||||
\(775\) | 3.13894 | + | 2.01727i | 0.112754 | + | 0.0724626i | ||||
\(776\) | −19.4287 | + | 5.70477i | −0.697449 | + | 0.204789i | ||||
\(777\) | 7.43868 | + | 8.58469i | 0.266861 | + | 0.307974i | ||||
\(778\) | −1.50407 | − | 0.441635i | −0.0539236 | − | 0.0158334i | ||||
\(779\) | 6.14770 | + | 13.4616i | 0.220264 | + | 0.482311i | ||||
\(780\) | 1.53280 | − | 10.6608i | 0.0548829 | − | 0.381719i | ||||
\(781\) | −49.0975 | −1.75685 | ||||||||
\(782\) | 0.249916 | + | 0.336126i | 0.00893698 | + | 0.0120199i | ||||
\(783\) | 2.57379 | 0.0919799 | ||||||||
\(784\) | 0.493352 | − | 3.43134i | 0.0176197 | − | 0.122548i | ||||
\(785\) | 4.73360 | + | 10.3651i | 0.168949 | + | 0.369948i | ||||
\(786\) | −2.02061 | − | 0.593305i | −0.0720729 | − | 0.0211625i | ||||
\(787\) | −1.72503 | − | 1.99079i | −0.0614905 | − | 0.0709638i | 0.724171 | − | 0.689621i | \(-0.242223\pi\) |
−0.785661 | + | 0.618657i | \(0.787677\pi\) | |||||||
\(788\) | −32.8919 | + | 9.65794i | −1.17173 | + | 0.344050i | ||||
\(789\) | −2.82175 | − | 1.81343i | −0.100457 | − | 0.0645597i | ||||
\(790\) | −0.901118 | + | 1.97317i | −0.0320603 | + | 0.0702024i | ||||
\(791\) | 3.06959 | − | 3.54250i | 0.109142 | − | 0.125957i | ||||
\(792\) | 5.10009 | − | 3.27763i | 0.181224 | − | 0.116465i | ||||
\(793\) | 7.68849 | + | 53.4746i | 0.273026 | + | 1.89894i | ||||
\(794\) | 0.905467 | + | 6.29766i | 0.0321338 | + | 0.223496i | ||||
\(795\) | −3.62920 | + | 2.33235i | −0.128714 | + | 0.0827198i | ||||
\(796\) | 20.7235 | − | 23.9162i | 0.734526 | − | 0.847688i | ||||
\(797\) | −0.631201 | + | 1.38214i | −0.0223583 | + | 0.0489578i | −0.920482 | − | 0.390786i | \(-0.872203\pi\) |
0.898123 | + | 0.439743i | \(0.144931\pi\) | |||||||
\(798\) | −2.25893 | − | 1.45173i | −0.0799652 | − | 0.0513905i | ||||
\(799\) | 1.28982 | − | 0.378727i | 0.0456307 | − | 0.0133984i | ||||
\(800\) | 2.57959 | + | 2.97700i | 0.0912022 | + | 0.105253i | ||||
\(801\) | 12.1874 | + | 3.57853i | 0.430619 | + | 0.126441i | ||||
\(802\) | −5.68382 | − | 12.4458i | −0.200703 | − | 0.439478i | ||||
\(803\) | −4.34945 | + | 30.2511i | −0.153489 | + | 1.06754i | ||||
\(804\) | −3.13318 | −0.110499 | ||||||||
\(805\) | 6.96932 | + | 9.37344i | 0.245636 | + | 0.330370i | ||||
\(806\) | 7.69781 | 0.271144 | ||||||||
\(807\) | 0.616401 | − | 4.28716i | 0.0216983 | − | 0.150915i | ||||
\(808\) | 7.30415 | + | 15.9939i | 0.256959 | + | 0.562662i | ||||
\(809\) | −42.1876 | − | 12.3874i | −1.48324 | − | 0.435518i | −0.562861 | − | 0.826551i | \(-0.690299\pi\) |
−0.920376 | + | 0.391034i | \(0.872118\pi\) | |||||||
\(810\) | −0.234755 | − | 0.270921i | −0.00824843 | − | 0.00951920i | ||||
\(811\) | 32.3994 | − | 9.51333i | 1.13770 | − | 0.334058i | 0.341969 | − | 0.939711i | \(-0.388906\pi\) |
0.795729 | + | 0.605653i | \(0.207088\pi\) | |||||||
\(812\) | −9.86924 | − | 6.34258i | −0.346343 | − | 0.222581i | ||||
\(813\) | 7.96503 | − | 17.4410i | 0.279346 | − | 0.611682i | ||||
\(814\) | −4.78270 | + | 5.51953i | −0.167633 | + | 0.193459i | ||||
\(815\) | −16.9387 | + | 10.8859i | −0.593337 | + | 0.381315i | ||||
\(816\) | −0.112528 | − | 0.782651i | −0.00393928 | − | 0.0273983i | ||||
\(817\) | −4.28147 | − | 29.7783i | −0.149790 | − | 1.04181i | ||||
\(818\) | 11.5002 | − | 7.39073i | 0.402095 | − | 0.258411i | ||||
\(819\) | 9.17890 | − | 10.5930i | 0.320737 | − | 0.370150i | ||||
\(820\) | 3.74098 | − | 8.19160i | 0.130641 | − | 0.286063i | ||||
\(821\) | 8.71375 | + | 5.59999i | 0.304112 | + | 0.195441i | 0.683792 | − | 0.729677i | \(-0.260330\pi\) |
−0.379680 | + | 0.925118i | \(0.623966\pi\) | |||||||
\(822\) | 3.53507 | − | 1.03799i | 0.123300 | − | 0.0362041i | ||||
\(823\) | 0.290126 | + | 0.334824i | 0.0101132 | + | 0.0116712i | 0.760784 | − | 0.649006i | \(-0.224815\pi\) |
−0.750670 | + | 0.660677i | \(0.770269\pi\) | |||||||
\(824\) | 20.4137 | + | 5.99399i | 0.711144 | + | 0.208811i | ||||
\(825\) | 1.81464 | + | 3.97350i | 0.0631775 | + | 0.138339i | ||||
\(826\) | −0.645795 | + | 4.49161i | −0.0224701 | + | 0.156283i | ||||
\(827\) | −2.81514 | −0.0978922 | −0.0489461 | − | 0.998801i | \(-0.515586\pi\) | ||||
−0.0489461 | + | 0.998801i | \(0.515586\pi\) | |||||||
\(828\) | −4.32708 | + | 7.86343i | −0.150377 | + | 0.273273i | ||||
\(829\) | −31.9240 | −1.10877 | −0.554384 | − | 0.832261i | \(-0.687046\pi\) | ||||
−0.554384 | + | 0.832261i | \(0.687046\pi\) | |||||||
\(830\) | −0.644315 | + | 4.48131i | −0.0223645 | + | 0.155549i | ||||
\(831\) | −10.3350 | − | 22.6306i | −0.358519 | − | 0.785047i | ||||
\(832\) | −28.0448 | − | 8.23469i | −0.972277 | − | 0.285486i | ||||
\(833\) | 0.170417 | + | 0.196672i | 0.00590460 | + | 0.00681427i | ||||
\(834\) | 6.81422 | − | 2.00084i | 0.235957 | − | 0.0692833i | ||||
\(835\) | −0.843752 | − | 0.542247i | −0.0291992 | − | 0.0187652i | ||||
\(836\) | −10.4446 | + | 22.8705i | −0.361235 | + | 0.790994i | ||||
\(837\) | −2.44346 | + | 2.81990i | −0.0844582 | + | 0.0974700i | ||||
\(838\) | 9.97404 | − | 6.40993i | 0.344548 | − | 0.221427i | ||||
\(839\) | −6.01324 | − | 41.8230i | −0.207600 | − | 1.44389i | −0.780957 | − | 0.624585i | \(-0.785268\pi\) |
0.573357 | − | 0.819306i | \(-0.305641\pi\) | |||||||
\(840\) | 0.481048 | + | 3.34577i | 0.0165977 | + | 0.115440i | ||||
\(841\) | −18.8235 | + | 12.0972i | −0.649088 | + | 0.417143i | ||||
\(842\) | 0.359729 | − | 0.415149i | 0.0123971 | − | 0.0143070i | ||||
\(843\) | −4.24400 | + | 9.29305i | −0.146171 | + | 0.320070i | ||||
\(844\) | 27.1404 | + | 17.4421i | 0.934212 | + | 0.600382i | ||||
\(845\) | 19.3052 | − | 5.66851i | 0.664118 | − | 0.195003i | ||||
\(846\) | −1.29529 | − | 1.49485i | −0.0445331 | − | 0.0513940i | ||||
\(847\) | −18.8857 | − | 5.54536i | −0.648922 | − | 0.190541i | ||||
\(848\) | 5.81625 | + | 12.7358i | 0.199731 | + | 0.437350i | ||||
\(849\) | 1.31626 | − | 9.15479i | 0.0451739 | − | 0.314191i | ||||
\(850\) | −0.0873372 | −0.00299564 | ||||||||
\(851\) | 4.82574 | − | 21.8406i | 0.165424 | − | 0.748687i | ||||
\(852\) | 21.0349 | 0.720644 | ||||||||
\(853\) | 6.23528 | − | 43.3673i | 0.213492 | − | 1.48487i | −0.547882 | − | 0.836556i | \(-0.684566\pi\) |
0.761374 | − | 0.648313i | \(-0.224525\pi\) | |||||||
\(854\) | −3.40476 | − | 7.45539i | −0.116509 | − | 0.255118i | ||||
\(855\) | 2.95092 | + | 0.866468i | 0.100919 | + | 0.0296326i | ||||
\(856\) | 0.141829 | + | 0.163679i | 0.00484762 | + | 0.00559445i | ||||
\(857\) | −5.90551 | + | 1.73401i | −0.201728 | + | 0.0592328i | −0.381036 | − | 0.924560i | \(-0.624433\pi\) |
0.179307 | + | 0.983793i | \(0.442614\pi\) | |||||||
\(858\) | 7.58133 | + | 4.87223i | 0.258822 | + | 0.166335i | ||||
\(859\) | −14.3113 | + | 31.3374i | −0.488295 | + | 1.06922i | 0.491804 | + | 0.870706i | \(0.336338\pi\) |
−0.980099 | + | 0.198511i | \(0.936390\pi\) | |||||||
\(860\) | −11.9885 | + | 13.8354i | −0.408804 | + | 0.471785i | ||||
\(861\) | 9.85910 | − | 6.33606i | 0.335997 | − | 0.215932i | ||||
\(862\) | 0.417054 | + | 2.90068i | 0.0142049 | + | 0.0987974i | ||||
\(863\) | 6.33651 | + | 44.0714i | 0.215697 | + | 1.50021i | 0.753674 | + | 0.657248i | \(0.228280\pi\) |
−0.537977 | + | 0.842960i | \(0.680811\pi\) | |||||||
\(864\) | −3.31382 | + | 2.12966i | −0.112738 | + | 0.0724525i | ||||
\(865\) | 12.7510 | − | 14.7154i | 0.433547 | − | 0.500340i | ||||
\(866\) | −3.79445 | + | 8.30868i | −0.128940 | + | 0.282340i | ||||
\(867\) | −14.2514 | − | 9.15880i | −0.484002 | − | 0.311049i | ||||
\(868\) | 16.3185 | − | 4.79155i | 0.553887 | − | 0.162636i | ||||
\(869\) | 17.3098 | + | 19.9765i | 0.587193 | + | 0.677657i | ||||
\(870\) | −0.885279 | − | 0.259942i | −0.0300138 | − | 0.00881284i | ||||
\(871\) | −4.00245 | − | 8.76413i | −0.135618 | − | 0.296961i | ||||
\(872\) | 2.90459 | − | 20.2019i | 0.0983618 | − | 0.684121i | ||||
\(873\) | 14.5901 | 0.493800 | ||||||||
\(874\) | 0.360011 | + | 5.27515i | 0.0121775 | + | 0.178435i | ||||
\(875\) | −2.43554 | −0.0823363 | ||||||||
\(876\) | 1.86344 | − | 12.9605i | 0.0629597 | − | 0.437894i | ||||
\(877\) | 3.62717 | + | 7.94239i | 0.122481 | + | 0.268195i | 0.960934 | − | 0.276779i | \(-0.0892668\pi\) |
−0.838453 | + | 0.544974i | \(0.816540\pi\) | |||||||
\(878\) | 10.4437 | + | 3.06653i | 0.352456 | + | 0.103490i | ||||
\(879\) | −4.26239 | − | 4.91906i | −0.143767 | − | 0.165916i | ||||
\(880\) | 13.6027 | − | 3.99412i | 0.458548 | − | 0.134642i | ||||
\(881\) | 30.1512 | + | 19.3770i | 1.01582 | + | 0.652827i | 0.938893 | − | 0.344210i | \(-0.111853\pi\) |
0.0769255 | + | 0.997037i | \(0.475490\pi\) | |||||||
\(882\) | 0.159066 | − | 0.348305i | 0.00535602 | − | 0.0117281i | ||||
\(883\) | 26.8948 | − | 31.0382i | 0.905082 | − | 1.04452i | −0.0937209 | − | 0.995599i | \(-0.529876\pi\) |
0.998803 | − | 0.0489215i | \(-0.0155784\pi\) | |||||||
\(884\) | 2.20747 | − | 1.41866i | 0.0742453 | − | 0.0477146i | ||||
\(885\) | −0.739664 | − | 5.14448i | −0.0248635 | − | 0.172930i | ||||
\(886\) | 1.91364 | + | 13.3096i | 0.0642898 | + | 0.447146i | ||||
\(887\) | −26.0276 | + | 16.7269i | −0.873920 | + | 0.561634i | −0.898949 | − | 0.438052i | \(-0.855668\pi\) |
0.0250295 | + | 0.999687i | \(0.492032\pi\) | |||||||
\(888\) | 4.23881 | − | 4.89185i | 0.142245 | − | 0.164160i | ||||
\(889\) | 10.3276 | − | 22.6143i | 0.346377 | − | 0.758460i | ||||
\(890\) | −3.83054 | − | 2.46174i | −0.128400 | − | 0.0825176i | ||||
\(891\) | −4.19130 | + | 1.23068i | −0.140414 | + | 0.0412293i | ||||
\(892\) | −6.47110 | − | 7.46805i | −0.216669 | − | 0.250049i | ||||
\(893\) | 16.2822 | + | 4.78087i | 0.544861 | + | 0.159986i | ||||
\(894\) | 3.32900 | + | 7.28949i | 0.111338 | + | 0.243797i | ||||
\(895\) | 0.0644190 | − | 0.448044i | 0.00215329 | − | 0.0149765i | ||||
\(896\) | 23.6222 | 0.789161 | ||||||||
\(897\) | −27.5232 | − | 2.05868i | −0.918972 | − | 0.0687372i | ||||
\(898\) | −13.7705 | −0.459529 | ||||||||
\(899\) | −1.36672 | + | 9.50575i | −0.0455827 | + | 0.317034i | ||||
\(900\) | −0.777446 | − | 1.70237i | −0.0259149 | − | 0.0567456i | ||||
\(901\) | −1.00846 | − | 0.296112i | −0.0335968 | − | 0.00986490i | ||||
\(902\) | 4.93442 | + | 5.69463i | 0.164298 | + | 0.189610i | ||||
\(903\) | −22.8594 | + | 6.71211i | −0.760712 | + | 0.223365i | ||||
\(904\) | −2.24702 | − | 1.44407i | −0.0747347 | − | 0.0480291i | ||||
\(905\) | 2.81318 | − | 6.16000i | 0.0935132 | − | 0.204765i | ||||
\(906\) | −1.12837 | + | 1.30220i | −0.0374874 | + | 0.0432628i | ||||
\(907\) | 14.5563 | − | 9.35476i | 0.483334 | − | 0.310620i | −0.276186 | − | 0.961104i | \(-0.589070\pi\) |
0.759520 | + | 0.650485i | \(0.225434\pi\) | |||||||
\(908\) | 6.12648 | + | 42.6106i | 0.203314 | + | 1.41408i | ||||
\(909\) | −1.80300 | − | 12.5401i | −0.0598016 | − | 0.415929i | ||||
\(910\) | −4.22701 | + | 2.71654i | −0.140124 | + | 0.0900523i | ||||
\(911\) | 18.4501 | − | 21.2925i | 0.611279 | − | 0.705454i | −0.362748 | − | 0.931887i | \(-0.618161\pi\) |
0.974027 | + | 0.226434i | \(0.0727067\pi\) | |||||||
\(912\) | 4.14643 | − | 9.07942i | 0.137302 | − | 0.300650i | ||||
\(913\) | 46.4106 | + | 29.8263i | 1.53597 | + | 0.987107i | ||||
\(914\) | −3.38025 | + | 0.992531i | −0.111809 | + | 0.0328300i | ||||
\(915\) | 6.14743 | + | 7.09451i | 0.203228 | + | 0.234537i | ||||
\(916\) | −6.95532 | − | 2.04227i | −0.229810 | − | 0.0674784i | ||||
\(917\) | −5.94366 | − | 13.0148i | −0.196277 | − | 0.429786i | ||||
\(918\) | 0.0124294 | − | 0.0864482i | 0.000410231 | − | 0.00285322i | ||||
\(919\) | −31.0178 | −1.02318 | −0.511591 | − | 0.859229i | \(-0.670944\pi\) | ||||
−0.511591 | + | 0.859229i | \(0.670944\pi\) | |||||||
\(920\) | 4.72175 | − | 4.69107i | 0.155672 | − | 0.154660i | ||||
\(921\) | 22.5740 | 0.743838 | ||||||||
\(922\) | 1.34632 | − | 9.36386i | 0.0443387 | − | 0.308382i | ||||
\(923\) | 26.8708 | + | 58.8389i | 0.884464 | + | 1.93671i | ||||
\(924\) | 19.1044 | + | 5.60955i | 0.628487 | + | 0.184540i | ||||
\(925\) | 3.05422 | + | 3.52476i | 0.100422 | + | 0.115893i | ||||
\(926\) | 11.9642 | − | 3.51302i | 0.393169 | − | 0.115445i | ||||
\(927\) | −12.8962 | − | 8.28790i | −0.423568 | − | 0.272210i | ||||
\(928\) | −4.21170 | + | 9.22233i | −0.138256 | + | 0.302738i | ||||
\(929\) | 8.63450 | − | 9.96474i | 0.283289 | − | 0.326933i | −0.596215 | − | 0.802825i | \(-0.703329\pi\) |
0.879504 | + | 0.475892i | \(0.157875\pi\) | |||||||
\(930\) | 1.12525 | − | 0.723152i | 0.0368983 | − | 0.0237131i | ||||
\(931\) | 0.467514 | + | 3.25163i | 0.0153222 | + | 0.106568i | ||||
\(932\) | 4.56404 | + | 31.7436i | 0.149500 | + | 1.03980i | ||||
\(933\) | −6.35144 | + | 4.08182i | −0.207937 | + | 0.133633i | ||||
\(934\) | 7.29339 | − | 8.41702i | 0.238647 | − | 0.275413i | ||||
\(935\) | −0.442103 | + | 0.968071i | −0.0144583 | + | 0.0316593i | ||||
\(936\) | −6.71918 | − | 4.31816i | −0.219623 | − | 0.141143i | ||||
\(937\) | 40.4994 | − | 11.8917i | 1.32306 | − | 0.388485i | 0.457463 | − | 0.889229i | \(-0.348758\pi\) |
0.865596 | + | 0.500744i | \(0.166940\pi\) | |||||||
\(938\) | 0.957208 | + | 1.10468i | 0.0312539 | + | 0.0360690i | ||||
\(939\) | 13.3719 | + | 3.92636i | 0.436377 | + | 0.128132i | ||||
\(940\) | −4.28968 | − | 9.39309i | −0.139914 | − | 0.306369i | ||||
\(941\) | 6.49429 | − | 45.1688i | 0.211708 | − | 1.47246i | −0.555745 | − | 0.831353i | \(-0.687567\pi\) |
0.767452 | − | 0.641106i | \(-0.221524\pi\) | |||||||
\(942\) | 4.08483 | 0.133091 | ||||||||
\(943\) | −21.5956 | − | 8.13500i | −0.703249 | − | 0.264912i | ||||
\(944\) | −16.8679 | −0.549004 | ||||||||
\(945\) | 0.346614 | − | 2.41075i | 0.0112753 | − | 0.0784217i | ||||
\(946\) | −6.36329 | − | 13.9337i | −0.206888 | − | 0.453022i | ||||
\(947\) | 17.1279 | + | 5.02920i | 0.556582 | + | 0.163427i | 0.547913 | − | 0.836535i | \(-0.315422\pi\) |
0.00866877 | + | 0.999962i | \(0.497241\pi\) | |||||||
\(948\) | −7.41603 | − | 8.55856i | −0.240861 | − | 0.277969i | ||||
\(949\) | 38.6335 | − | 11.3438i | 1.25410 | − | 0.368236i | ||||
\(950\) | −0.927486 | − | 0.596059i | −0.0300916 | − | 0.0193387i | ||||
\(951\) | 9.57963 | − | 20.9765i | 0.310641 | − | 0.680209i | ||||
\(952\) | −0.539289 | + | 0.622373i | −0.0174785 | + | 0.0201712i | ||||
\(953\) | −4.51747 | + | 2.90320i | −0.146335 | + | 0.0940440i | −0.611760 | − | 0.791044i | \(-0.709538\pi\) |
0.465424 | + | 0.885088i | \(0.345902\pi\) | |||||||
\(954\) | 0.220089 | + | 1.53076i | 0.00712566 | + | 0.0495600i | ||||
\(955\) | 1.55790 | + | 10.8354i | 0.0504124 | + | 0.350626i | ||||
\(956\) | −46.1004 | + | 29.6269i | −1.49099 | + | 0.958203i | ||||
\(957\) | −7.36258 | + | 8.49687i | −0.237998 | + | 0.274665i | ||||
\(958\) | 2.68475 | − | 5.87878i | 0.0867403 | − | 0.189935i | ||||
\(959\) | 21.0578 | + | 13.5331i | 0.679993 | + | 0.437005i | ||||
\(960\) | −4.87310 | + | 1.43087i | −0.157279 | + | 0.0461812i | ||||
\(961\) | 11.1835 | + | 12.9064i | 0.360758 | + | 0.416337i | ||||
\(962\) | 9.23219 | + | 2.71081i | 0.297658 | + | 0.0874002i | ||||
\(963\) | −0.0648269 | − | 0.141951i | −0.00208902 | − | 0.00457431i | ||||
\(964\) | −7.57257 | + | 52.6684i | −0.243896 | + | 1.69633i | ||||
\(965\) | −1.12334 | −0.0361616 | ||||||||
\(966\) | 4.09439 | − | 0.876715i | 0.131735 | − | 0.0282079i | ||||
\(967\) | −7.96373 | −0.256096 | −0.128048 | − | 0.991768i | \(-0.540871\pi\) | ||||
−0.128048 | + | 0.991768i | \(0.540871\pi\) | |||||||
\(968\) | −1.59621 | + | 11.1019i | −0.0513042 | + | 0.356829i | ||||
\(969\) | 0.311266 | + | 0.681577i | 0.00999930 | + | 0.0218954i | ||||
\(970\) | −5.01840 | − | 1.47353i | −0.161131 | − | 0.0473123i | ||||
\(971\) | −1.97887 | − | 2.28373i | −0.0635048 | − | 0.0732885i | 0.723108 | − | 0.690735i | \(-0.242713\pi\) |
−0.786613 | + | 0.617446i | \(0.788167\pi\) | |||||||
\(972\) | 1.79568 | − | 0.527260i | 0.0575966 | − | 0.0169119i | ||||
\(973\) | 40.5912 | + | 26.0864i | 1.30129 | + | 0.836291i | ||||
\(974\) | −1.75810 | + | 3.84971i | −0.0563332 | + | 0.123353i | ||||
\(975\) | 3.76873 | − | 4.34935i | 0.120696 | − | 0.139291i | ||||
\(976\) | 25.6300 | − | 16.4714i | 0.820396 | − | 0.527237i | ||||
\(977\) | 4.23260 | + | 29.4384i | 0.135413 | + | 0.941817i | 0.938333 | + | 0.345731i | \(0.112369\pi\) |
−0.802921 | + | 0.596086i | \(0.796722\pi\) | |||||||
\(978\) | 1.02723 | + | 7.14456i | 0.0328473 | + | 0.228458i | ||||
\(979\) | −46.6769 | + | 29.9974i | −1.49180 | + | 0.958721i | ||||
\(980\) | 1.30908 | − | 1.51076i | 0.0418171 | − | 0.0482595i | ||||
\(981\) | −6.10905 | + | 13.3769i | −0.195047 | + | 0.427093i | ||||
\(982\) | −8.43509 | − | 5.42090i | −0.269174 | − | 0.172988i | ||||
\(983\) | −16.0460 | + | 4.71152i | −0.511787 | + | 0.150274i | −0.527422 | − | 0.849604i | \(-0.676841\pi\) |
0.0156349 | + | 0.999878i | \(0.495023\pi\) | |||||||
\(984\) | −4.37328 | − | 5.04703i | −0.139415 | − | 0.160894i | ||||
\(985\) | −17.5752 | − | 5.16056i | −0.559994 | − | 0.164429i | ||||
\(986\) | −0.0933802 | − | 0.204474i | −0.00297383 | − | 0.00651178i | ||||
\(987\) | 1.91249 | − | 13.3017i | 0.0608754 | − | 0.423397i | ||||
\(988\) | 33.1245 | 1.05383 | ||||||||
\(989\) | 37.4638 | + | 28.2360i | 1.19128 | + | 0.897853i | ||||
\(990\) | 1.56593 | 0.0497685 | ||||||||
\(991\) | 1.84073 | − | 12.8025i | 0.0584727 | − | 0.406686i | −0.939473 | − | 0.342623i | \(-0.888685\pi\) |
0.997946 | − | 0.0640638i | \(-0.0204061\pi\) | |||||||
\(992\) | −6.10576 | − | 13.3697i | −0.193858 | − | 0.424490i | ||||
\(993\) | −20.9709 | − | 6.15761i | −0.665491 | − | 0.195406i | ||||
\(994\) | −6.42631 | − | 7.41636i | −0.203830 | − | 0.235233i | ||||
\(995\) | 16.2244 | − | 4.76391i | 0.514348 | − | 0.151026i | ||||
\(996\) | −19.8837 | − | 12.7785i | −0.630041 | − | 0.404902i | ||||
\(997\) | −3.67677 | + | 8.05100i | −0.116444 | + | 0.254978i | −0.958876 | − | 0.283826i | \(-0.908396\pi\) |
0.842431 | + | 0.538804i | \(0.181124\pi\) | |||||||
\(998\) | 5.82170 | − | 6.71860i | 0.184283 | − | 0.212673i | ||||
\(999\) | −3.92354 | + | 2.52151i | −0.124135 | + | 0.0797770i |
(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 | 345.2.m.c.31.4 | ✓ | 50 | |
23.3 | even | 11 | inner | 345.2.m.c.256.4 | yes | 50 | |
23.7 | odd | 22 | 7935.2.a.bw.1.10 | 25 | |||
23.16 | even | 11 | 7935.2.a.bv.1.10 | 25 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
345.2.m.c.31.4 | ✓ | 50 | 1.1 | even | 1 | trivial | |
345.2.m.c.256.4 | yes | 50 | 23.3 | even | 11 | inner | |
7935.2.a.bv.1.10 | 25 | 23.16 | even | 11 | |||
7935.2.a.bw.1.10 | 25 | 23.7 | odd | 22 |