Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [74,2,Mod(7,74)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(74, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("74.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 74 = 2 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 74.f (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.590892974957\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{9})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 24x^{10} + 264x^{8} - 1687x^{6} + 6600x^{4} - 15000x^{2} + 15625 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 7.2 | ||
Root | \(-2.00752 + 0.984808i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 74.7 |
Dual form | 74.2.f.b.53.2 |
$q$-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 \(\left(\mathbb{Z}/74\mathbb{Z}\right)^\times\).
\(n\) | \(39\) |
\(\chi(n)\) | \(e\left(\frac{8}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.939693 | + | 0.342020i | −0.664463 | + | 0.241845i | ||||
\(3\) | 1.72328 | + | 0.627223i | 0.994936 | + | 0.362127i | 0.787630 | − | 0.616149i | \(-0.211308\pi\) |
0.207306 | + | 0.978276i | \(0.433530\pi\) | |||||||
\(4\) | 0.766044 | − | 0.642788i | 0.383022 | − | 0.321394i | ||||
\(5\) | −0.326352 | − | 1.85083i | −0.145949 | − | 0.827718i | −0.966600 | − | 0.256289i | \(-0.917500\pi\) |
0.820651 | − | 0.571429i | \(-0.193611\pi\) | |||||||
\(6\) | −1.83388 | −0.748677 | ||||||||
\(7\) | 0.598489 | + | 3.39420i | 0.226208 | + | 1.28289i | 0.860363 | + | 0.509681i | \(0.170237\pi\) |
−0.634156 | + | 0.773205i | \(0.718652\pi\) | |||||||
\(8\) | −0.500000 | + | 0.866025i | −0.176777 | + | 0.306186i | ||||
\(9\) | 0.278152 | + | 0.233397i | 0.0927173 | + | 0.0777991i | ||||
\(10\) | 0.939693 | + | 1.62760i | 0.297157 | + | 0.514691i | ||||
\(11\) | 1.40483 | − | 2.43324i | 0.423572 | − | 0.733649i | −0.572714 | − | 0.819756i | \(-0.694109\pi\) |
0.996286 | + | 0.0861067i | \(0.0274426\pi\) | |||||||
\(12\) | 1.72328 | − | 0.627223i | 0.497468 | − | 0.181064i | ||||
\(13\) | −2.65877 | + | 2.23097i | −0.737409 | + | 0.618760i | −0.932141 | − | 0.362097i | \(-0.882061\pi\) |
0.194731 | + | 0.980857i | \(0.437617\pi\) | |||||||
\(14\) | −1.72328 | − | 2.98481i | −0.460566 | − | 0.797724i | ||||
\(15\) | 0.598489 | − | 3.39420i | 0.154529 | − | 0.876378i | ||||
\(16\) | 0.173648 | − | 0.984808i | 0.0434120 | − | 0.246202i | ||||
\(17\) | −2.37417 | − | 1.99217i | −0.575822 | − | 0.483172i | 0.307750 | − | 0.951467i | \(-0.400424\pi\) |
−0.883572 | + | 0.468295i | \(0.844868\pi\) | |||||||
\(18\) | −0.341204 | − | 0.124188i | −0.0804225 | − | 0.0292714i | ||||
\(19\) | −6.99748 | − | 2.54687i | −1.60533 | − | 0.584293i | −0.624822 | − | 0.780767i | \(-0.714829\pi\) |
−0.980509 | + | 0.196474i | \(0.937051\pi\) | |||||||
\(20\) | −1.43969 | − | 1.20805i | −0.321925 | − | 0.270127i | ||||
\(21\) | −1.09755 | + | 6.22454i | −0.239506 | + | 1.35831i | ||||
\(22\) | −0.487893 | + | 2.76698i | −0.104019 | + | 0.589921i | ||||
\(23\) | 0.321769 | + | 0.557320i | 0.0670934 | + | 0.116209i | 0.897621 | − | 0.440769i | \(-0.145294\pi\) |
−0.830527 | + | 0.556978i | \(0.811961\pi\) | |||||||
\(24\) | −1.40483 | + | 1.17879i | −0.286760 | + | 0.240620i | ||||
\(25\) | 1.37939 | − | 0.502055i | 0.275877 | − | 0.100411i | ||||
\(26\) | 1.73539 | − | 3.00578i | 0.340337 | − | 0.589482i | ||||
\(27\) | −2.41787 | − | 4.18788i | −0.465320 | − | 0.805958i | ||||
\(28\) | 2.64022 | + | 2.21541i | 0.498954 | + | 0.418672i | ||||
\(29\) | −1.08449 | + | 1.87840i | −0.201385 | + | 0.348810i | −0.948975 | − | 0.315351i | \(-0.897878\pi\) |
0.747590 | + | 0.664161i | \(0.231211\pi\) | |||||||
\(30\) | 0.598489 | + | 3.39420i | 0.109269 | + | 0.619693i | ||||
\(31\) | 9.90716 | 1.77938 | 0.889690 | − | 0.456566i | \(-0.150921\pi\) | ||||
0.889690 | + | 0.456566i | \(0.150921\pi\) | |||||||
\(32\) | 0.173648 | + | 0.984808i | 0.0306970 | + | 0.174091i | ||||
\(33\) | 3.94710 | − | 3.31201i | 0.687102 | − | 0.576547i | ||||
\(34\) | 2.91235 | + | 1.06001i | 0.499465 | + | 0.181790i | ||||
\(35\) | 6.08678 | − | 2.21541i | 1.02885 | − | 0.374472i | ||||
\(36\) | 0.363102 | 0.0605169 | ||||||||
\(37\) | −2.56368 | + | 5.51612i | −0.421466 | + | 0.906844i | ||||
\(38\) | 7.44656 | 1.20799 | ||||||||
\(39\) | −5.98112 | + | 2.17695i | −0.957745 | + | 0.348591i | ||||
\(40\) | 1.76604 | + | 0.642788i | 0.279236 | + | 0.101634i | ||||
\(41\) | −8.13803 | + | 6.82862i | −1.27095 | + | 1.06645i | −0.276521 | + | 0.961008i | \(0.589182\pi\) |
−0.994425 | + | 0.105443i | \(0.966374\pi\) | |||||||
\(42\) | −1.09755 | − | 6.22454i | −0.169356 | − | 0.960467i | ||||
\(43\) | 8.30465 | 1.26645 | 0.633224 | − | 0.773969i | \(-0.281731\pi\) | ||||
0.633224 | + | 0.773969i | \(0.281731\pi\) | |||||||
\(44\) | −0.487893 | − | 2.76698i | −0.0735526 | − | 0.417137i | ||||
\(45\) | 0.341204 | − | 0.590982i | 0.0508637 | − | 0.0880984i | ||||
\(46\) | −0.492978 | − | 0.413658i | −0.0726857 | − | 0.0609905i | ||||
\(47\) | 3.92821 | + | 6.80387i | 0.572989 | + | 0.992446i | 0.996257 | + | 0.0864413i | \(0.0275495\pi\) |
−0.423268 | + | 0.906004i | \(0.639117\pi\) | |||||||
\(48\) | 0.916938 | − | 1.58818i | 0.132349 | − | 0.229235i | ||||
\(49\) | −4.58455 | + | 1.66864i | −0.654935 | + | 0.238377i | ||||
\(50\) | −1.12449 | + | 0.943555i | −0.159026 | + | 0.133439i | ||||
\(51\) | −2.84183 | − | 4.92220i | −0.397936 | − | 0.689246i | ||||
\(52\) | −0.602694 | + | 3.41805i | −0.0835786 | + | 0.473998i | ||||
\(53\) | 0.839394 | − | 4.76044i | 0.115300 | − | 0.653897i | −0.871302 | − | 0.490748i | \(-0.836724\pi\) |
0.986601 | − | 0.163149i | \(-0.0521651\pi\) | |||||||
\(54\) | 3.70440 | + | 3.10836i | 0.504104 | + | 0.422994i | ||||
\(55\) | −4.96199 | − | 1.80602i | −0.669074 | − | 0.243523i | ||||
\(56\) | −3.23871 | − | 1.17879i | −0.432790 | − | 0.157523i | ||||
\(57\) | −10.4612 | − | 8.77795i | −1.38561 | − | 1.16267i | ||||
\(58\) | 0.376641 | − | 2.13604i | 0.0494553 | − | 0.280475i | ||||
\(59\) | 0.0961039 | − | 0.545032i | 0.0125117 | − | 0.0709572i | −0.977913 | − | 0.209014i | \(-0.932975\pi\) |
0.990424 | + | 0.138057i | \(0.0440857\pi\) | |||||||
\(60\) | −1.72328 | − | 2.98481i | −0.222474 | − | 0.385337i | ||||
\(61\) | 5.37102 | − | 4.50682i | 0.687689 | − | 0.577039i | −0.230553 | − | 0.973060i | \(-0.574053\pi\) |
0.918242 | + | 0.396020i | \(0.129609\pi\) | |||||||
\(62\) | −9.30969 | + | 3.38845i | −1.18233 | + | 0.430333i | ||||
\(63\) | −0.625726 | + | 1.08379i | −0.0788340 | + | 0.136545i | ||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | 4.99685 | + | 4.19285i | 0.619783 | + | 0.520060i | ||||
\(66\) | −2.57629 | + | 4.46226i | −0.317119 | + | 0.549266i | ||||
\(67\) | 0.0366435 | + | 0.207815i | 0.00447671 | + | 0.0253887i | 0.986964 | − | 0.160939i | \(-0.0514524\pi\) |
−0.982488 | + | 0.186328i | \(0.940341\pi\) | |||||||
\(68\) | −3.09926 | −0.375841 | ||||||||
\(69\) | 0.204934 | + | 1.16224i | 0.0246711 | + | 0.139917i | ||||
\(70\) | −4.96199 | + | 4.16360i | −0.593071 | + | 0.497646i | ||||
\(71\) | −4.75197 | − | 1.72957i | −0.563955 | − | 0.205263i | 0.0442811 | − | 0.999019i | \(-0.485900\pi\) |
−0.608236 | + | 0.793756i | \(0.708123\pi\) | |||||||
\(72\) | −0.341204 | + | 0.124188i | −0.0402113 | + | 0.0146357i | ||||
\(73\) | 10.2297 | 1.19730 | 0.598648 | − | 0.801012i | \(-0.295705\pi\) | ||||
0.598648 | + | 0.801012i | \(0.295705\pi\) | |||||||
\(74\) | 0.522449 | − | 6.06028i | 0.0607334 | − | 0.704494i | ||||
\(75\) | 2.69197 | 0.310842 | ||||||||
\(76\) | −6.99748 | + | 2.54687i | −0.802666 | + | 0.292146i | ||||
\(77\) | 9.09967 | + | 3.31201i | 1.03700 | + | 0.377438i | ||||
\(78\) | 4.87585 | − | 4.09132i | 0.552081 | − | 0.463251i | ||||
\(79\) | −0.330775 | − | 1.87592i | −0.0372151 | − | 0.211057i | 0.960530 | − | 0.278177i | \(-0.0897302\pi\) |
−0.997745 | + | 0.0671197i | \(0.978619\pi\) | |||||||
\(80\) | −1.87939 | −0.210122 | ||||||||
\(81\) | −1.72910 | − | 9.80619i | −0.192122 | − | 1.08958i | ||||
\(82\) | 5.31172 | − | 9.20017i | 0.586582 | − | 1.01599i | ||||
\(83\) | 5.21650 | + | 4.37717i | 0.572586 | + | 0.480456i | 0.882503 | − | 0.470307i | \(-0.155857\pi\) |
−0.309917 | + | 0.950764i | \(0.600301\pi\) | |||||||
\(84\) | 3.16028 | + | 5.47377i | 0.344815 | + | 0.597237i | ||||
\(85\) | −2.91235 | + | 5.04435i | −0.315889 | + | 0.547136i | ||||
\(86\) | −7.80382 | + | 2.84036i | −0.841507 | + | 0.306284i | ||||
\(87\) | −3.04706 | + | 2.55679i | −0.326679 | + | 0.274116i | ||||
\(88\) | 1.40483 | + | 2.43324i | 0.149755 | + | 0.259384i | ||||
\(89\) | −1.68226 | + | 9.54055i | −0.178319 | + | 1.01130i | 0.755924 | + | 0.654659i | \(0.227188\pi\) |
−0.934243 | + | 0.356637i | \(0.883923\pi\) | |||||||
\(90\) | −0.118499 | + | 0.672040i | −0.0124909 | + | 0.0708393i | ||||
\(91\) | −9.16360 | − | 7.68917i | −0.960606 | − | 0.806044i | ||||
\(92\) | 0.604727 | + | 0.220103i | 0.0630472 | + | 0.0229473i | ||||
\(93\) | 17.0728 | + | 6.21400i | 1.77037 | + | 0.644361i | ||||
\(94\) | −6.01837 | − | 5.05001i | −0.620748 | − | 0.520869i | ||||
\(95\) | −2.43020 | + | 13.7823i | −0.249333 | + | 1.41404i | ||||
\(96\) | −0.318449 | + | 1.80602i | −0.0325016 | + | 0.184326i | ||||
\(97\) | −8.52990 | − | 14.7742i | −0.866080 | − | 1.50009i | −0.865971 | − | 0.500095i | \(-0.833298\pi\) |
−0.000109562 | − | 1.00000i | \(-0.500035\pi\) | |||||||
\(98\) | 3.73736 | − | 3.13602i | 0.377530 | − | 0.316785i | ||||
\(99\) | 0.958667 | − | 0.348926i | 0.0963497 | − | 0.0350684i | ||||
\(100\) | 0.733956 | − | 1.27125i | 0.0733956 | − | 0.127125i | ||||
\(101\) | −5.98911 | − | 10.3734i | −0.595938 | − | 1.03220i | −0.993414 | − | 0.114583i | \(-0.963447\pi\) |
0.397475 | − | 0.917613i | \(-0.369886\pi\) | |||||||
\(102\) | 4.35394 | + | 3.65339i | 0.431104 | + | 0.361739i | ||||
\(103\) | −6.47233 | + | 11.2104i | −0.637737 | + | 1.10459i | 0.348191 | + | 0.937424i | \(0.386796\pi\) |
−0.985928 | + | 0.167170i | \(0.946537\pi\) | |||||||
\(104\) | −0.602694 | − | 3.41805i | −0.0590990 | − | 0.335167i | ||||
\(105\) | 11.8788 | 1.15925 | ||||||||
\(106\) | 0.839394 | + | 4.76044i | 0.0815291 | + | 0.462375i | ||||
\(107\) | 11.9706 | − | 10.0445i | 1.15724 | − | 0.971037i | 0.157374 | − | 0.987539i | \(-0.449697\pi\) |
0.999864 | + | 0.0165017i | \(0.00525290\pi\) | |||||||
\(108\) | −4.54411 | − | 1.65392i | −0.437258 | − | 0.159149i | ||||
\(109\) | −1.45663 | + | 0.530170i | −0.139520 | + | 0.0507810i | −0.410836 | − | 0.911709i | \(-0.634763\pi\) |
0.271317 | + | 0.962490i | \(0.412541\pi\) | |||||||
\(110\) | 5.28044 | 0.503470 | ||||||||
\(111\) | −7.87777 | + | 7.89781i | −0.747725 | + | 0.749627i | ||||
\(112\) | 3.44656 | 0.325669 | ||||||||
\(113\) | 4.80629 | − | 1.74935i | 0.452138 | − | 0.164565i | −0.105906 | − | 0.994376i | \(-0.533774\pi\) |
0.558044 | + | 0.829811i | \(0.311552\pi\) | |||||||
\(114\) | 12.8325 | + | 4.67065i | 1.20187 | + | 0.437446i | ||||
\(115\) | 0.926496 | − | 0.777422i | 0.0863962 | − | 0.0724950i | ||||
\(116\) | 0.376641 | + | 2.13604i | 0.0349702 | + | 0.198326i | ||||
\(117\) | −1.26024 | −0.116510 | ||||||||
\(118\) | 0.0961039 | + | 0.545032i | 0.00884708 | + | 0.0501743i | ||||
\(119\) | 5.34090 | − | 9.25071i | 0.489599 | − | 0.848011i | ||||
\(120\) | 2.64022 | + | 2.21541i | 0.241018 | + | 0.202238i | ||||
\(121\) | 1.55290 | + | 2.68971i | 0.141173 | + | 0.244519i | ||||
\(122\) | −3.50569 | + | 6.07203i | −0.317390 | + | 0.549735i | ||||
\(123\) | −18.3072 | + | 6.66326i | −1.65070 | + | 0.600806i | ||||
\(124\) | 7.58933 | − | 6.36820i | 0.681542 | − | 0.571881i | ||||
\(125\) | −6.07785 | − | 10.5271i | −0.543619 | − | 0.941576i | ||||
\(126\) | 0.217312 | − | 1.23244i | 0.0193597 | − | 0.109794i | ||||
\(127\) | −1.23207 | + | 6.98740i | −0.109328 | + | 0.620032i | 0.880075 | + | 0.474836i | \(0.157492\pi\) |
−0.989403 | + | 0.145196i | \(0.953619\pi\) | |||||||
\(128\) | 0.766044 | + | 0.642788i | 0.0677094 | + | 0.0568149i | ||||
\(129\) | 14.3112 | + | 5.20886i | 1.26003 | + | 0.458615i | ||||
\(130\) | −6.12954 | − | 2.23097i | −0.537596 | − | 0.195669i | ||||
\(131\) | 13.3781 | + | 11.2256i | 1.16885 | + | 0.980781i | 0.999988 | − | 0.00485874i | \(-0.00154659\pi\) |
0.168861 | + | 0.985640i | \(0.445991\pi\) | |||||||
\(132\) | 0.894734 | − | 5.07429i | 0.0778766 | − | 0.441660i | ||||
\(133\) | 4.45668 | − | 25.2751i | 0.386443 | − | 2.19163i | ||||
\(134\) | −0.105511 | − | 0.182750i | −0.00911473 | − | 0.0157872i | ||||
\(135\) | −6.96199 | + | 5.84180i | −0.599192 | + | 0.502782i | ||||
\(136\) | 2.91235 | − | 1.06001i | 0.249732 | − | 0.0908951i | ||||
\(137\) | −4.92852 | + | 8.53645i | −0.421072 | + | 0.729318i | −0.996045 | − | 0.0888546i | \(-0.971679\pi\) |
0.574973 | + | 0.818173i | \(0.305013\pi\) | |||||||
\(138\) | −0.590084 | − | 1.02206i | −0.0502313 | − | 0.0870031i | ||||
\(139\) | −6.89049 | − | 5.78181i | −0.584444 | − | 0.490407i | 0.301959 | − | 0.953321i | \(-0.402359\pi\) |
−0.886403 | + | 0.462914i | \(0.846804\pi\) | |||||||
\(140\) | 3.23871 | − | 5.60960i | 0.273721 | − | 0.474098i | ||||
\(141\) | 2.50187 | + | 14.1888i | 0.210696 | + | 1.19491i | ||||
\(142\) | 5.05694 | 0.424369 | ||||||||
\(143\) | 1.69337 | + | 9.60355i | 0.141606 | + | 0.803089i | ||||
\(144\) | 0.278152 | − | 0.233397i | 0.0231793 | − | 0.0194498i | ||||
\(145\) | 3.83053 | + | 1.39420i | 0.318108 | + | 0.115782i | ||||
\(146\) | −9.61277 | + | 3.49876i | −0.795559 | + | 0.289560i | ||||
\(147\) | −8.94707 | −0.737942 | ||||||||
\(148\) | 1.58180 | + | 5.87349i | 0.130023 | + | 0.482798i | ||||
\(149\) | −9.97301 | −0.817021 | −0.408511 | − | 0.912754i | \(-0.633952\pi\) | ||||
−0.408511 | + | 0.912754i | \(0.633952\pi\) | |||||||
\(150\) | −2.52962 | + | 0.920707i | −0.206543 | + | 0.0751754i | ||||
\(151\) | −9.07997 | − | 3.30484i | −0.738918 | − | 0.268944i | −0.0549831 | − | 0.998487i | \(-0.517510\pi\) |
−0.683935 | + | 0.729543i | \(0.739733\pi\) | |||||||
\(152\) | 5.70440 | − | 4.78656i | 0.462688 | − | 0.388241i | ||||
\(153\) | −0.195414 | − | 1.10825i | −0.0157983 | − | 0.0895968i | ||||
\(154\) | −9.68366 | −0.780332 | ||||||||
\(155\) | −3.23322 | − | 18.3365i | −0.259699 | − | 1.47282i | ||||
\(156\) | −3.18249 | + | 5.51223i | −0.254803 | + | 0.441331i | ||||
\(157\) | −6.73320 | − | 5.64982i | −0.537368 | − | 0.450905i | 0.333269 | − | 0.942832i | \(-0.391848\pi\) |
−0.870637 | + | 0.491927i | \(0.836293\pi\) | |||||||
\(158\) | 0.952429 | + | 1.64965i | 0.0757712 | + | 0.131239i | ||||
\(159\) | 4.43236 | − | 7.67708i | 0.351509 | − | 0.608832i | ||||
\(160\) | 1.76604 | − | 0.642788i | 0.139618 | − | 0.0508168i | ||||
\(161\) | −1.69908 | + | 1.42570i | −0.133906 | + | 0.112361i | ||||
\(162\) | 4.97873 | + | 8.62341i | 0.391166 | + | 0.677519i | ||||
\(163\) | −0.331175 | + | 1.87819i | −0.0259397 | + | 0.147111i | −0.995027 | − | 0.0996076i | \(-0.968241\pi\) |
0.969087 | + | 0.246719i | \(0.0793524\pi\) | |||||||
\(164\) | −1.84474 | + | 10.4620i | −0.144050 | + | 0.816949i | ||||
\(165\) | −7.41812 | − | 6.22454i | −0.577500 | − | 0.484580i | ||||
\(166\) | −6.39899 | − | 2.32904i | −0.496658 | − | 0.180769i | ||||
\(167\) | −6.22793 | − | 2.26678i | −0.481932 | − | 0.175409i | 0.0896181 | − | 0.995976i | \(-0.471435\pi\) |
−0.571550 | + | 0.820567i | \(0.693658\pi\) | |||||||
\(168\) | −4.84183 | − | 4.06278i | −0.373555 | − | 0.313450i | ||||
\(169\) | −0.165612 | + | 0.939235i | −0.0127394 | + | 0.0722488i | ||||
\(170\) | 1.01145 | − | 5.73622i | 0.0775747 | − | 0.439948i | ||||
\(171\) | −1.35193 | − | 2.34161i | −0.103385 | − | 0.179067i | ||||
\(172\) | 6.36173 | − | 5.33813i | 0.485077 | − | 0.407028i | ||||
\(173\) | −23.8769 | + | 8.69049i | −1.81533 | + | 0.660725i | −0.819130 | + | 0.573608i | \(0.805543\pi\) |
−0.996198 | + | 0.0871179i | \(0.972234\pi\) | |||||||
\(174\) | 1.98883 | − | 3.44475i | 0.150773 | − | 0.261146i | ||||
\(175\) | 2.52962 | + | 4.38143i | 0.191221 | + | 0.331205i | ||||
\(176\) | −2.15233 | − | 1.80602i | −0.162238 | − | 0.136134i | ||||
\(177\) | 0.507471 | − | 0.878965i | 0.0381438 | − | 0.0660670i | ||||
\(178\) | −1.68226 | − | 9.54055i | −0.126090 | − | 0.715095i | ||||
\(179\) | 8.12492 | 0.607285 | 0.303643 | − | 0.952786i | \(-0.401797\pi\) | ||||
0.303643 | + | 0.952786i | \(0.401797\pi\) | |||||||
\(180\) | −0.118499 | − | 0.672040i | −0.00883238 | − | 0.0500909i | ||||
\(181\) | 9.12118 | − | 7.65358i | 0.677972 | − | 0.568886i | −0.237441 | − | 0.971402i | \(-0.576309\pi\) |
0.915413 | + | 0.402516i | \(0.131864\pi\) | |||||||
\(182\) | 11.2408 | + | 4.09132i | 0.833225 | + | 0.303269i | ||||
\(183\) | 12.0826 | − | 4.39769i | 0.893168 | − | 0.325087i | ||||
\(184\) | −0.643537 | −0.0474422 | ||||||||
\(185\) | 11.0461 | + | 2.94475i | 0.812123 | + | 0.216502i | ||||
\(186\) | −18.1685 | −1.33218 | ||||||||
\(187\) | −8.18273 | + | 2.97827i | −0.598381 | + | 0.217793i | ||||
\(188\) | 7.38263 | + | 2.68706i | 0.538433 | + | 0.195974i | ||||
\(189\) | 12.7674 | − | 10.7131i | 0.928693 | − | 0.779266i | ||||
\(190\) | −2.43020 | − | 13.7823i | −0.176305 | − | 0.999876i | ||||
\(191\) | 0.266722 | 0.0192993 | 0.00964965 | − | 0.999953i | \(-0.496928\pi\) | ||||
0.00964965 | + | 0.999953i | \(0.496928\pi\) | |||||||
\(192\) | −0.318449 | − | 1.80602i | −0.0229821 | − | 0.130338i | ||||
\(193\) | −3.96417 | + | 6.86615i | −0.285348 | + | 0.494236i | −0.972693 | − | 0.232094i | \(-0.925442\pi\) |
0.687346 | + | 0.726330i | \(0.258776\pi\) | |||||||
\(194\) | 13.0686 | + | 10.9658i | 0.938268 | + | 0.787301i | ||||
\(195\) | 5.98112 | + | 10.3596i | 0.428317 | + | 0.741866i | ||||
\(196\) | −2.43939 | + | 4.22514i | −0.174242 | + | 0.301796i | ||||
\(197\) | 0.386805 | − | 0.140786i | 0.0275587 | − | 0.0100306i | −0.328204 | − | 0.944607i | \(-0.606443\pi\) |
0.355763 | + | 0.934576i | \(0.384221\pi\) | |||||||
\(198\) | −0.781513 | + | 0.655767i | −0.0555397 | + | 0.0466033i | ||||
\(199\) | 1.01751 | + | 1.76239i | 0.0721297 | + | 0.124932i | 0.899834 | − | 0.436232i | \(-0.143687\pi\) |
−0.827705 | + | 0.561164i | \(0.810354\pi\) | |||||||
\(200\) | −0.254900 | + | 1.44561i | −0.0180242 | + | 0.102220i | ||||
\(201\) | −0.0671996 | + | 0.381108i | −0.00473989 | + | 0.0268813i | ||||
\(202\) | 9.17584 | + | 7.69945i | 0.645610 | + | 0.541731i | ||||
\(203\) | −7.02471 | − | 2.55679i | −0.493038 | − | 0.179451i | ||||
\(204\) | −5.34090 | − | 1.94393i | −0.373938 | − | 0.136102i | ||||
\(205\) | 15.2945 | + | 12.8336i | 1.06821 | + | 0.896338i | ||||
\(206\) | 2.24782 | − | 12.7480i | 0.156613 | − | 0.888195i | ||||
\(207\) | −0.0405763 | + | 0.230119i | −0.00282024 | + | 0.0159944i | ||||
\(208\) | 1.73539 | + | 3.00578i | 0.120327 | + | 0.208413i | ||||
\(209\) | −16.0274 | + | 13.4486i | −1.10864 | + | 0.930259i | ||||
\(210\) | −11.1624 | + | 4.06278i | −0.770278 | + | 0.280358i | ||||
\(211\) | 7.87052 | − | 13.6321i | 0.541829 | − | 0.938475i | −0.456970 | − | 0.889482i | \(-0.651065\pi\) |
0.998799 | − | 0.0489932i | \(-0.0156013\pi\) | |||||||
\(212\) | −2.41694 | − | 4.18626i | −0.165996 | − | 0.287513i | ||||
\(213\) | −7.10414 | − | 5.96108i | −0.486768 | − | 0.408447i | ||||
\(214\) | −7.81323 | + | 13.5329i | −0.534101 | + | 0.925090i | ||||
\(215\) | −2.71024 | − | 15.3705i | −0.184837 | − | 1.04826i | ||||
\(216\) | 4.83575 | 0.329031 | ||||||||
\(217\) | 5.92933 | + | 33.6269i | 0.402509 | + | 2.28274i | ||||
\(218\) | 1.18745 | − | 0.996393i | 0.0804246 | − | 0.0674842i | ||||
\(219\) | 17.6286 | + | 6.41630i | 1.19123 | + | 0.433573i | ||||
\(220\) | −4.96199 | + | 1.80602i | −0.334537 | + | 0.121762i | ||||
\(221\) | 10.7568 | 0.723584 | ||||||||
\(222\) | 4.70147 | − | 10.1159i | 0.315542 | − | 0.678933i | ||||
\(223\) | −3.43531 | −0.230045 | −0.115023 | − | 0.993363i | \(-0.536694\pi\) | ||||
−0.115023 | + | 0.993363i | \(0.536694\pi\) | |||||||
\(224\) | −3.23871 | + | 1.17879i | −0.216395 | + | 0.0787614i | ||||
\(225\) | 0.500857 | + | 0.182297i | 0.0333905 | + | 0.0121531i | ||||
\(226\) | −3.91812 | + | 3.28770i | −0.260630 | + | 0.218694i | ||||
\(227\) | −0.401614 | − | 2.27767i | −0.0266561 | − | 0.151174i | 0.968575 | − | 0.248723i | \(-0.0800109\pi\) |
−0.995231 | + | 0.0975489i | \(0.968900\pi\) | |||||||
\(228\) | −13.6561 | −0.904395 | ||||||||
\(229\) | −1.02642 | − | 5.82114i | −0.0678280 | − | 0.384672i | −0.999757 | − | 0.0220316i | \(-0.992987\pi\) |
0.931929 | − | 0.362640i | \(-0.118125\pi\) | |||||||
\(230\) | −0.604727 | + | 1.04742i | −0.0398745 | + | 0.0690647i | ||||
\(231\) | 13.6039 | + | 11.4150i | 0.895071 | + | 0.751054i | ||||
\(232\) | −1.08449 | − | 1.87840i | −0.0712005 | − | 0.123323i | ||||
\(233\) | 14.1679 | − | 24.5395i | 0.928168 | − | 1.60763i | 0.141782 | − | 0.989898i | \(-0.454717\pi\) |
0.786386 | − | 0.617736i | \(-0.211950\pi\) | |||||||
\(234\) | 1.18424 | − | 0.431029i | 0.0774163 | − | 0.0281772i | ||||
\(235\) | 11.3108 | − | 9.49092i | 0.737838 | − | 0.619120i | ||||
\(236\) | −0.276720 | − | 0.479293i | −0.0180129 | − | 0.0311993i | ||||
\(237\) | 0.606600 | − | 3.44020i | 0.0394029 | − | 0.223465i | ||||
\(238\) | −1.85487 | + | 10.5195i | −0.120234 | + | 0.681879i | ||||
\(239\) | 18.5674 | + | 15.5799i | 1.20103 | + | 1.00778i | 0.999600 | + | 0.0282780i | \(0.00900236\pi\) |
0.201427 | + | 0.979504i | \(0.435442\pi\) | |||||||
\(240\) | −3.23871 | − | 1.17879i | −0.209058 | − | 0.0760907i | ||||
\(241\) | −8.31692 | − | 3.02711i | −0.535740 | − | 0.194993i | 0.0599594 | − | 0.998201i | \(-0.480903\pi\) |
−0.595700 | + | 0.803207i | \(0.703125\pi\) | |||||||
\(242\) | −2.37918 | − | 1.99637i | −0.152940 | − | 0.128332i | ||||
\(243\) | 0.651791 | − | 3.69649i | 0.0418124 | − | 0.237130i | ||||
\(244\) | 1.21751 | − | 6.90485i | 0.0779432 | − | 0.442038i | ||||
\(245\) | 4.58455 | + | 7.94067i | 0.292896 | + | 0.507311i | ||||
\(246\) | 14.9241 | − | 12.5228i | 0.951528 | − | 0.798427i | ||||
\(247\) | 24.2867 | − | 8.83962i | 1.54532 | − | 0.562452i | ||||
\(248\) | −4.95358 | + | 8.57985i | −0.314553 | + | 0.544821i | ||||
\(249\) | 6.24404 | + | 10.8150i | 0.395700 | + | 0.685372i | ||||
\(250\) | 9.31180 | + | 7.81353i | 0.588930 | + | 0.494171i | ||||
\(251\) | −3.29525 | + | 5.70754i | −0.207994 | + | 0.360257i | −0.951083 | − | 0.308937i | \(-0.900027\pi\) |
0.743088 | + | 0.669193i | \(0.233360\pi\) | |||||||
\(252\) | 0.217312 | + | 1.23244i | 0.0136894 | + | 0.0776363i | ||||
\(253\) | 1.80812 | 0.113676 | ||||||||
\(254\) | −1.23207 | − | 6.98740i | −0.0773068 | − | 0.438429i | ||||
\(255\) | −8.18273 | + | 6.86613i | −0.512422 | + | 0.429973i | ||||
\(256\) | −0.939693 | − | 0.342020i | −0.0587308 | − | 0.0213763i | ||||
\(257\) | −9.04522 | + | 3.29219i | −0.564225 | + | 0.205361i | −0.608356 | − | 0.793665i | \(-0.708171\pi\) |
0.0441304 | + | 0.999026i | \(0.485948\pi\) | |||||||
\(258\) | −15.2297 | −0.948160 | ||||||||
\(259\) | −20.2571 | − | 5.40031i | −1.25872 | − | 0.335559i | ||||
\(260\) | 6.52292 | 0.404534 | ||||||||
\(261\) | −0.740067 | + | 0.269362i | −0.0458090 | + | 0.0166731i | ||||
\(262\) | −16.4107 | − | 5.97299i | −1.01385 | − | 0.369013i | ||||
\(263\) | −1.21898 | + | 1.02284i | −0.0751654 | + | 0.0630712i | −0.679596 | − | 0.733586i | \(-0.737845\pi\) |
0.604431 | + | 0.796658i | \(0.293401\pi\) | |||||||
\(264\) | 0.894734 | + | 5.07429i | 0.0550671 | + | 0.312301i | ||||
\(265\) | −9.08472 | −0.558070 | ||||||||
\(266\) | 4.45668 | + | 25.2751i | 0.273257 | + | 1.54972i | ||||
\(267\) | −8.88305 | + | 15.3859i | −0.543634 | + | 0.941601i | ||||
\(268\) | 0.161652 | + | 0.135642i | 0.00987445 | + | 0.00828565i | ||||
\(269\) | −11.5599 | − | 20.0223i | −0.704819 | − | 1.22078i | −0.966757 | − | 0.255697i | \(-0.917695\pi\) |
0.261938 | − | 0.965085i | \(-0.415638\pi\) | |||||||
\(270\) | 4.54411 | − | 7.87064i | 0.276546 | − | 0.478992i | ||||
\(271\) | −0.172362 | + | 0.0627348i | −0.0104703 | + | 0.00381087i | −0.347250 | − | 0.937773i | \(-0.612884\pi\) |
0.336780 | + | 0.941583i | \(0.390662\pi\) | |||||||
\(272\) | −2.37417 | + | 1.99217i | −0.143955 | + | 0.120793i | ||||
\(273\) | −10.9686 | − | 18.9982i | −0.663851 | − | 1.14982i | ||||
\(274\) | 1.71166 | − | 9.70729i | 0.103405 | − | 0.586439i | ||||
\(275\) | 0.716183 | − | 4.06167i | 0.0431875 | − | 0.244928i | ||||
\(276\) | 0.904061 | + | 0.758597i | 0.0544181 | + | 0.0456622i | ||||
\(277\) | 11.9260 | + | 4.34070i | 0.716562 | + | 0.260807i | 0.674466 | − | 0.738306i | \(-0.264374\pi\) |
0.0420965 | + | 0.999114i | \(0.486596\pi\) | |||||||
\(278\) | 8.45244 | + | 3.07644i | 0.506944 | + | 0.184512i | ||||
\(279\) | 2.75570 | + | 2.31230i | 0.164979 | + | 0.138434i | ||||
\(280\) | −1.12479 | + | 6.37901i | −0.0672191 | + | 0.381219i | ||||
\(281\) | 3.02774 | − | 17.1712i | 0.180620 | − | 1.02435i | −0.750835 | − | 0.660490i | \(-0.770349\pi\) |
0.931455 | − | 0.363857i | \(-0.118540\pi\) | |||||||
\(282\) | −7.20386 | − | 12.4774i | −0.428983 | − | 0.743021i | ||||
\(283\) | −10.0612 | + | 8.44232i | −0.598074 | + | 0.501844i | −0.890826 | − | 0.454345i | \(-0.849873\pi\) |
0.292752 | + | 0.956188i | \(0.405429\pi\) | |||||||
\(284\) | −4.75197 | + | 1.72957i | −0.281977 | + | 0.102631i | ||||
\(285\) | −12.8325 | + | 22.2266i | −0.760132 | + | 1.31659i | ||||
\(286\) | −4.87585 | − | 8.44522i | −0.288315 | − | 0.499376i | ||||
\(287\) | −28.0482 | − | 23.5352i | −1.65563 | − | 1.38924i | ||||
\(288\) | −0.181551 | + | 0.314455i | −0.0106980 | + | 0.0185294i | ||||
\(289\) | −1.28405 | − | 7.28223i | −0.0755325 | − | 0.428366i | ||||
\(290\) | −4.07636 | −0.239372 | ||||||||
\(291\) | −5.43268 | − | 30.8103i | −0.318469 | − | 1.80613i | ||||
\(292\) | 7.83641 | − | 6.57552i | 0.458591 | − | 0.384803i | ||||
\(293\) | −6.37791 | − | 2.32137i | −0.372602 | − | 0.135616i | 0.148930 | − | 0.988848i | \(-0.452417\pi\) |
−0.521532 | + | 0.853232i | \(0.674639\pi\) | |||||||
\(294\) | 8.40749 | − | 3.06008i | 0.490335 | − | 0.178467i | ||||
\(295\) | −1.04013 | −0.0605586 | ||||||||
\(296\) | −3.49526 | − | 4.97827i | −0.203158 | − | 0.289356i | ||||
\(297\) | −13.5868 | −0.788386 | ||||||||
\(298\) | 9.37157 | − | 3.41097i | 0.542880 | − | 0.197592i | ||||
\(299\) | −2.09887 | − | 0.763927i | −0.121381 | − | 0.0441790i | ||||
\(300\) | 2.06217 | − | 1.73036i | 0.119059 | − | 0.0999026i | ||||
\(301\) | 4.97024 | + | 28.1876i | 0.286480 | + | 1.62471i | ||||
\(302\) | 9.66271 | 0.556026 | ||||||||
\(303\) | −3.81445 | − | 21.6328i | −0.219135 | − | 1.24277i | ||||
\(304\) | −3.72328 | + | 6.44891i | −0.213545 | + | 0.369870i | ||||
\(305\) | −10.0942 | − | 8.47006i | −0.577993 | − | 0.484994i | ||||
\(306\) | 0.562674 | + | 0.974579i | 0.0321659 | + | 0.0557130i | ||||
\(307\) | −4.10242 | + | 7.10560i | −0.234138 | + | 0.405538i | −0.959022 | − | 0.283333i | \(-0.908560\pi\) |
0.724884 | + | 0.688871i | \(0.241893\pi\) | |||||||
\(308\) | 9.09967 | − | 3.31201i | 0.518502 | − | 0.188719i | ||||
\(309\) | −18.1850 | + | 15.2591i | −1.03451 | + | 0.868058i | ||||
\(310\) | 9.30969 | + | 16.1249i | 0.528755 | + | 0.915830i | ||||
\(311\) | −1.88461 | + | 10.6882i | −0.106867 | + | 0.606070i | 0.883592 | + | 0.468258i | \(0.155118\pi\) |
−0.990458 | + | 0.137812i | \(0.955993\pi\) | |||||||
\(312\) | 1.10527 | − | 6.26827i | 0.0625733 | − | 0.354871i | ||||
\(313\) | −6.63058 | − | 5.56372i | −0.374783 | − | 0.314480i | 0.435867 | − | 0.900011i | \(-0.356442\pi\) |
−0.810650 | + | 0.585531i | \(0.800886\pi\) | |||||||
\(314\) | 8.25949 | + | 3.00621i | 0.466110 | + | 0.169650i | ||||
\(315\) | 2.21012 | + | 0.804417i | 0.124526 | + | 0.0453238i | ||||
\(316\) | −1.45921 | − | 1.22442i | −0.0820867 | − | 0.0688789i | ||||
\(317\) | −4.41505 | + | 25.0390i | −0.247974 | + | 1.40633i | 0.565510 | + | 0.824741i | \(0.308679\pi\) |
−0.813484 | + | 0.581587i | \(0.802432\pi\) | |||||||
\(318\) | −1.53934 | + | 8.73005i | −0.0863221 | + | 0.489557i | ||||
\(319\) | 3.04706 | + | 5.27766i | 0.170603 | + | 0.295492i | ||||
\(320\) | −1.43969 | + | 1.20805i | −0.0804813 | + | 0.0675318i | ||||
\(321\) | 26.9287 | − | 9.80126i | 1.50302 | − | 0.547053i | ||||
\(322\) | 1.10899 | − | 1.92084i | 0.0618019 | − | 0.107044i | ||||
\(323\) | 11.5394 | + | 19.9869i | 0.642071 | + | 1.11210i | ||||
\(324\) | −7.62786 | − | 6.40053i | −0.423770 | − | 0.355585i | ||||
\(325\) | −2.54739 | + | 4.41222i | −0.141304 | + | 0.244746i | ||||
\(326\) | −0.331175 | − | 1.87819i | −0.0183421 | − | 0.104023i | ||||
\(327\) | −2.84271 | −0.157202 | ||||||||
\(328\) | −1.84474 | − | 10.4620i | −0.101859 | − | 0.577670i | ||||
\(329\) | −20.7427 | + | 17.4052i | −1.14358 | + | 0.959578i | ||||
\(330\) | 9.09967 | + | 3.31201i | 0.500920 | + | 0.182320i | ||||
\(331\) | 19.5470 | − | 7.11454i | 1.07440 | − | 0.391050i | 0.256581 | − | 0.966523i | \(-0.417404\pi\) |
0.817821 | + | 0.575473i | \(0.195182\pi\) | |||||||
\(332\) | 6.80966 | 0.373729 | ||||||||
\(333\) | −2.00054 | + | 0.935963i | −0.109629 | + | 0.0512904i | ||||
\(334\) | 6.62762 | 0.362647 | ||||||||
\(335\) | 0.372673 | − | 0.135642i | 0.0203613 | − | 0.00741091i | ||||
\(336\) | 5.93939 | + | 2.16176i | 0.324020 | + | 0.117934i | ||||
\(337\) | −1.89385 | + | 1.58913i | −0.103165 | + | 0.0865653i | −0.692911 | − | 0.721023i | \(-0.743672\pi\) |
0.589746 | + | 0.807588i | \(0.299228\pi\) | |||||||
\(338\) | −0.165612 | − | 0.939235i | −0.00900813 | − | 0.0510876i | ||||
\(339\) | 9.37981 | 0.509442 | ||||||||
\(340\) | 1.01145 | + | 5.73622i | 0.0548536 | + | 0.311090i | ||||
\(341\) | 13.9179 | − | 24.1065i | 0.753696 | − | 1.30544i | ||||
\(342\) | 2.07127 | + | 1.73801i | 0.112002 | + | 0.0939806i | ||||
\(343\) | 3.65547 | + | 6.33145i | 0.197377 | + | 0.341866i | ||||
\(344\) | −4.15233 | + | 7.19204i | −0.223878 | + | 0.387769i | ||||
\(345\) | 2.08423 | − | 0.758597i | 0.112211 | − | 0.0408415i | ||||
\(346\) | 19.4646 | − | 16.3328i | 1.04643 | − | 0.878055i | ||||
\(347\) | 2.92690 | + | 5.06953i | 0.157124 | + | 0.272147i | 0.933830 | − | 0.357716i | \(-0.116444\pi\) |
−0.776706 | + | 0.629863i | \(0.783111\pi\) | |||||||
\(348\) | −0.690712 | + | 3.91722i | −0.0370261 | + | 0.209985i | ||||
\(349\) | 0.545283 | − | 3.09246i | 0.0291883 | − | 0.165535i | −0.966729 | − | 0.255801i | \(-0.917661\pi\) |
0.995918 | + | 0.0902661i | \(0.0287718\pi\) | |||||||
\(350\) | −3.87561 | − | 3.25202i | −0.207160 | − | 0.173828i | ||||
\(351\) | 15.7716 | + | 5.74039i | 0.841825 | + | 0.306399i | ||||
\(352\) | 2.64022 | + | 0.960961i | 0.140724 | + | 0.0512194i | ||||
\(353\) | −8.61667 | − | 7.23024i | −0.458619 | − | 0.384827i | 0.384004 | − | 0.923332i | \(-0.374545\pi\) |
−0.842623 | + | 0.538505i | \(0.818989\pi\) | |||||||
\(354\) | −0.176243 | + | 0.999522i | −0.00936719 | + | 0.0531240i | ||||
\(355\) | −1.65034 | + | 9.35955i | −0.0875910 | + | 0.496753i | ||||
\(356\) | 4.84387 | + | 8.38982i | 0.256724 | + | 0.444660i | ||||
\(357\) | 15.0061 | − | 12.5916i | 0.794208 | − | 0.666419i | ||||
\(358\) | −7.63493 | + | 2.77889i | −0.403518 | + | 0.146869i | ||||
\(359\) | 11.5467 | − | 19.9994i | 0.609410 | − | 1.05553i | −0.381927 | − | 0.924192i | \(-0.624740\pi\) |
0.991338 | − | 0.131337i | \(-0.0419271\pi\) | |||||||
\(360\) | 0.341204 | + | 0.590982i | 0.0179830 | + | 0.0311475i | ||||
\(361\) | 27.9233 | + | 23.4304i | 1.46965 | + | 1.23318i | ||||
\(362\) | −5.95343 | + | 10.3116i | −0.312905 | + | 0.541968i | ||||
\(363\) | 0.989041 | + | 5.60913i | 0.0519112 | + | 0.294403i | ||||
\(364\) | −11.9622 | −0.626991 | ||||||||
\(365\) | −3.33848 | − | 18.9335i | −0.174744 | − | 0.991023i | ||||
\(366\) | −9.84979 | + | 8.26495i | −0.514857 | + | 0.432016i | ||||
\(367\) | −1.47673 | − | 0.537487i | −0.0770848 | − | 0.0280566i | 0.303190 | − | 0.952930i | \(-0.401948\pi\) |
−0.380275 | + | 0.924874i | \(0.624171\pi\) | |||||||
\(368\) | 0.604727 | − | 0.220103i | 0.0315236 | − | 0.0114736i | ||||
\(369\) | −3.85739 | −0.200808 | ||||||||
\(370\) | −11.3871 | + | 1.01082i | −0.591986 | + | 0.0525500i | ||||
\(371\) | 16.6602 | 0.864957 | ||||||||
\(372\) | 17.0728 | − | 6.21400i | 0.885184 | − | 0.322181i | ||||
\(373\) | −6.28835 | − | 2.28877i | −0.325599 | − | 0.118508i | 0.174049 | − | 0.984737i | \(-0.444315\pi\) |
−0.499647 | + | 0.866229i | \(0.666537\pi\) | |||||||
\(374\) | 6.67062 | − | 5.59732i | 0.344930 | − | 0.289430i | ||||
\(375\) | −3.87097 | − | 21.9534i | −0.199896 | − | 1.13367i | ||||
\(376\) | −7.85643 | −0.405164 | ||||||||
\(377\) | −1.30723 | − | 7.41370i | −0.0673260 | − | 0.381825i | ||||
\(378\) | −8.33334 | + | 14.4338i | −0.428621 | + | 0.742393i | ||||
\(379\) | −8.40501 | − | 7.05264i | −0.431737 | − | 0.362270i | 0.400870 | − | 0.916135i | \(-0.368708\pi\) |
−0.832606 | + | 0.553865i | \(0.813152\pi\) | |||||||
\(380\) | 6.99748 | + | 12.1200i | 0.358963 | + | 0.621742i | ||||
\(381\) | −6.50586 | + | 11.2685i | −0.333305 | + | 0.577301i | ||||
\(382\) | −0.250636 | + | 0.0912241i | −0.0128237 | + | 0.00466743i | ||||
\(383\) | −19.3480 | + | 16.2349i | −0.988638 | + | 0.829566i | −0.985370 | − | 0.170429i | \(-0.945485\pi\) |
−0.00326840 | + | 0.999995i | \(0.501040\pi\) | |||||||
\(384\) | 0.916938 | + | 1.58818i | 0.0467923 | + | 0.0810466i | ||||
\(385\) | 3.16028 | − | 17.9228i | 0.161063 | − | 0.913433i | ||||
\(386\) | 1.37674 | − | 7.80790i | 0.0700744 | − | 0.397412i | ||||
\(387\) | 2.30995 | + | 1.93828i | 0.117422 | + | 0.0985284i | ||||
\(388\) | −16.0310 | − | 5.83480i | −0.813849 | − | 0.296217i | ||||
\(389\) | 10.1599 | + | 3.69792i | 0.515130 | + | 0.187492i | 0.586487 | − | 0.809959i | \(-0.300511\pi\) |
−0.0713568 | + | 0.997451i | \(0.522733\pi\) | |||||||
\(390\) | −9.16360 | − | 7.68917i | −0.464017 | − | 0.389356i | ||||
\(391\) | 0.346340 | − | 1.96419i | 0.0175152 | − | 0.0993334i | ||||
\(392\) | 0.847190 | − | 4.80465i | 0.0427896 | − | 0.242672i | ||||
\(393\) | 16.0133 | + | 27.7358i | 0.807763 | + | 1.39909i | ||||
\(394\) | −0.315326 | + | 0.264590i | −0.0158859 | + | 0.0133299i | ||||
\(395\) | −3.36406 | + | 1.22442i | −0.169264 | + | 0.0616072i | ||||
\(396\) | 0.510096 | − | 0.883512i | 0.0256333 | − | 0.0443982i | ||||
\(397\) | 5.40570 | + | 9.36295i | 0.271304 | + | 0.469913i | 0.969196 | − | 0.246290i | \(-0.0792117\pi\) |
−0.697892 | + | 0.716203i | \(0.745878\pi\) | |||||||
\(398\) | −1.55892 | − | 1.30809i | −0.0781417 | − | 0.0655687i | ||||
\(399\) | 23.5332 | − | 40.7607i | 1.17813 | − | 2.04059i | ||||
\(400\) | −0.254900 | − | 1.44561i | −0.0127450 | − | 0.0722805i | ||||
\(401\) | −34.6974 | −1.73271 | −0.866353 | − | 0.499432i | \(-0.833542\pi\) | ||||
−0.866353 | + | 0.499432i | \(0.833542\pi\) | |||||||
\(402\) | −0.0671996 | − | 0.381108i | −0.00335161 | − | 0.0190079i | ||||
\(403\) | −26.3408 | + | 22.1026i | −1.31213 | + | 1.10101i | ||||
\(404\) | −11.2558 | − | 4.09679i | −0.559999 | − | 0.203823i | ||||
\(405\) | −17.5853 | + | 6.40053i | −0.873822 | + | 0.318045i | ||||
\(406\) | 7.47554 | 0.371005 | ||||||||
\(407\) | 9.82049 | + | 13.9873i | 0.486783 | + | 0.693322i | ||||
\(408\) | 5.68366 | 0.281383 | ||||||||
\(409\) | −1.77330 | + | 0.645428i | −0.0876840 | + | 0.0319144i | −0.385490 | − | 0.922712i | \(-0.625967\pi\) |
0.297806 | + | 0.954627i | \(0.403745\pi\) | |||||||
\(410\) | −18.7615 | − | 6.82862i | −0.926563 | − | 0.337241i | ||||
\(411\) | −13.8475 | + | 11.6194i | −0.683046 | + | 0.573143i | ||||
\(412\) | 2.24782 | + | 12.7480i | 0.110742 | + | 0.628049i | ||||
\(413\) | 1.90747 | 0.0938602 | ||||||||
\(414\) | −0.0405763 | − | 0.230119i | −0.00199421 | − | 0.0113098i | ||||
\(415\) | 6.39899 | − | 11.0834i | 0.314114 | − | 0.544061i | ||||
\(416\) | −2.65877 | − | 2.23097i | −0.130357 | − | 0.109382i | ||||
\(417\) | −8.24777 | − | 14.2856i | −0.403895 | − | 0.699566i | ||||
\(418\) | 10.4612 | − | 18.1193i | 0.511672 | − | 0.886242i | ||||
\(419\) | 16.3766 | − | 5.96059i | 0.800048 | − | 0.291194i | 0.0905419 | − | 0.995893i | \(-0.471140\pi\) |
0.709507 | + | 0.704699i | \(0.248918\pi\) | |||||||
\(420\) | 9.09967 | − | 7.63553i | 0.444018 | − | 0.372576i | ||||
\(421\) | 9.07719 | + | 15.7222i | 0.442395 | + | 0.766251i | 0.997867 | − | 0.0652845i | \(-0.0207955\pi\) |
−0.555471 | + | 0.831536i | \(0.687462\pi\) | |||||||
\(422\) | −2.73340 | + | 15.5019i | −0.133060 | + | 0.754621i | ||||
\(423\) | −0.495363 | + | 2.80934i | −0.0240854 | + | 0.136595i | ||||
\(424\) | 3.70296 | + | 3.10716i | 0.179832 | + | 0.150897i | ||||
\(425\) | −4.27508 | − | 1.55600i | −0.207372 | − | 0.0754771i | ||||
\(426\) | 8.71452 | + | 3.17183i | 0.422220 | + | 0.153675i | ||||
\(427\) | 18.5115 | + | 15.5330i | 0.895837 | + | 0.751696i | ||||
\(428\) | 2.71350 | − | 15.3891i | 0.131162 | − | 0.743858i | ||||
\(429\) | −3.10542 | + | 17.6117i | −0.149931 | + | 0.850302i | ||||
\(430\) | 7.80382 | + | 13.5166i | 0.376334 | + | 0.651829i | ||||
\(431\) | 21.7480 | − | 18.2487i | 1.04756 | − | 0.879011i | 0.0547286 | − | 0.998501i | \(-0.482571\pi\) |
0.992835 | + | 0.119491i | \(0.0381262\pi\) | |||||||
\(432\) | −4.54411 | + | 1.65392i | −0.218629 | + | 0.0795744i | ||||
\(433\) | 3.73468 | − | 6.46865i | 0.179477 | − | 0.310864i | −0.762224 | − | 0.647313i | \(-0.775893\pi\) |
0.941702 | + | 0.336449i | \(0.109226\pi\) | |||||||
\(434\) | −17.0728 | − | 29.5710i | −0.819521 | − | 1.41945i | ||||
\(435\) | 5.72660 | + | 4.80519i | 0.274569 | + | 0.230391i | ||||
\(436\) | −0.775056 | + | 1.34244i | −0.0371185 | + | 0.0642910i | ||||
\(437\) | −0.832146 | − | 4.71934i | −0.0398069 | − | 0.225756i | ||||
\(438\) | −18.7600 | −0.896388 | ||||||||
\(439\) | −5.99873 | − | 34.0205i | −0.286304 | − | 1.62371i | −0.700590 | − | 0.713564i | \(-0.747080\pi\) |
0.414287 | − | 0.910146i | \(-0.364031\pi\) | |||||||
\(440\) | 4.04505 | − | 3.39420i | 0.192840 | − | 0.161812i | ||||
\(441\) | −1.66466 | − | 0.605885i | −0.0792693 | − | 0.0288517i | ||||
\(442\) | −10.1081 | + | 3.67906i | −0.480795 | + | 0.174995i | ||||
\(443\) | −2.89849 | −0.137712 | −0.0688558 | − | 0.997627i | \(-0.521935\pi\) | ||||
−0.0688558 | + | 0.997627i | \(0.521935\pi\) | |||||||
\(444\) | −0.958106 | + | 11.1138i | −0.0454697 | + | 0.527438i | ||||
\(445\) | 18.2070 | 0.863094 | ||||||||
\(446\) | 3.22814 | − | 1.17495i | 0.152857 | − | 0.0556353i | ||||
\(447\) | −17.1863 | − | 6.25530i | −0.812884 | − | 0.295866i | ||||
\(448\) | 2.64022 | − | 2.21541i | 0.124739 | − | 0.104668i | ||||
\(449\) | 4.84053 | + | 27.4520i | 0.228439 | + | 1.29554i | 0.856002 | + | 0.516973i | \(0.172941\pi\) |
−0.627563 | + | 0.778566i | \(0.715948\pi\) | |||||||
\(450\) | −0.533001 | −0.0251259 | ||||||||
\(451\) | 5.18310 | + | 29.3948i | 0.244063 | + | 1.38415i | ||||
\(452\) | 2.55737 | − | 4.42950i | 0.120289 | − | 0.208346i | ||||
\(453\) | −13.5745 | − | 11.3903i | −0.637784 | − | 0.535164i | ||||
\(454\) | 1.15640 | + | 2.00295i | 0.0542726 | + | 0.0940029i | ||||
\(455\) | −11.2408 | + | 19.4697i | −0.526978 | + | 0.912752i | ||||
\(456\) | 12.8325 | − | 4.67065i | 0.600937 | − | 0.218723i | ||||
\(457\) | 7.48390 | − | 6.27974i | 0.350082 | − | 0.293754i | −0.450741 | − | 0.892655i | \(-0.648840\pi\) |
0.800823 | + | 0.598901i | \(0.204396\pi\) | |||||||
\(458\) | 2.95547 | + | 5.11902i | 0.138100 | + | 0.239196i | ||||
\(459\) | −2.60251 | + | 14.7596i | −0.121475 | + | 0.688917i | ||||
\(460\) | 0.210020 | − | 1.19108i | 0.00979221 | − | 0.0555344i | ||||
\(461\) | 11.8337 | + | 9.92965i | 0.551150 | + | 0.462470i | 0.875330 | − | 0.483525i | \(-0.160644\pi\) |
−0.324180 | + | 0.945995i | \(0.605088\pi\) | |||||||
\(462\) | −16.6877 | − | 6.07381i | −0.776380 | − | 0.282579i | ||||
\(463\) | −17.2009 | − | 6.26063i | −0.799395 | − | 0.290956i | −0.0901595 | − | 0.995927i | \(-0.528738\pi\) |
−0.709236 | + | 0.704971i | \(0.750960\pi\) | |||||||
\(464\) | 1.66154 | + | 1.39420i | 0.0771351 | + | 0.0647240i | ||||
\(465\) | 5.92933 | − | 33.6269i | 0.274966 | − | 1.55941i | ||||
\(466\) | −4.92045 | + | 27.9053i | −0.227935 | + | 1.29269i | ||||
\(467\) | −11.8035 | − | 20.4443i | −0.546201 | − | 0.946048i | −0.998530 | − | 0.0541966i | \(-0.982740\pi\) |
0.452329 | − | 0.891851i | \(-0.350593\pi\) | |||||||
\(468\) | −0.965403 | + | 0.810069i | −0.0446257 | + | 0.0374454i | ||||
\(469\) | −0.683436 | + | 0.248750i | −0.0315581 | + | 0.0114862i | ||||
\(470\) | −7.38263 | + | 12.7871i | −0.340535 | + | 0.589824i | ||||
\(471\) | −8.05949 | − | 13.9594i | −0.371362 | − | 0.643217i | ||||
\(472\) | 0.423960 | + | 0.355745i | 0.0195143 | + | 0.0163745i | ||||
\(473\) | 11.6666 | − | 20.2072i | 0.536432 | − | 0.929128i | ||||
\(474\) | 0.606600 | + | 3.44020i | 0.0278621 | + | 0.158014i | ||||
\(475\) | −10.9309 | −0.501544 | ||||||||
\(476\) | −1.85487 | − | 10.5195i | −0.0850180 | − | 0.482161i | ||||
\(477\) | 1.34455 | − | 1.12821i | 0.0615628 | − | 0.0516573i | ||||
\(478\) | −22.7763 | − | 8.28990i | −1.04176 | − | 0.379171i | ||||
\(479\) | 8.16238 | − | 2.97086i | 0.372949 | − | 0.135742i | −0.148744 | − | 0.988876i | \(-0.547523\pi\) |
0.521693 | + | 0.853134i | \(0.325301\pi\) | |||||||
\(480\) | 3.44656 | 0.157313 | ||||||||
\(481\) | −5.49006 | − | 20.3856i | −0.250325 | − | 0.929502i | ||||
\(482\) | 8.85069 | 0.403138 | ||||||||
\(483\) | −3.82222 | + | 1.39117i | −0.173917 | + | 0.0633006i | ||||
\(484\) | 2.91850 | + | 1.06225i | 0.132659 | + | 0.0482840i | ||||
\(485\) | −24.5609 | + | 20.6090i | −1.11525 | + | 0.935807i | ||||
\(486\) | 0.651791 | + | 3.69649i | 0.0295658 | + | 0.167676i | ||||
\(487\) | 20.9350 | 0.948654 | 0.474327 | − | 0.880349i | \(-0.342691\pi\) | ||||
0.474327 | + | 0.880349i | \(0.342691\pi\) | |||||||
\(488\) | 1.21751 | + | 6.90485i | 0.0551142 | + | 0.312568i | ||||
\(489\) | −1.74875 | + | 3.02892i | −0.0790812 | + | 0.136973i | ||||
\(490\) | −7.02393 | − | 5.89378i | −0.317309 | − | 0.266254i | ||||
\(491\) | −21.6055 | − | 37.4219i | −0.975044 | − | 1.68883i | −0.679791 | − | 0.733406i | \(-0.737930\pi\) |
−0.295253 | − | 0.955419i | \(-0.595404\pi\) | |||||||
\(492\) | −9.74104 | + | 16.8720i | −0.439160 | + | 0.760647i | ||||
\(493\) | 6.31686 | − | 2.29915i | 0.284497 | − | 0.103548i | ||||
\(494\) | −19.7987 | + | 16.6131i | −0.890784 | + | 0.747457i | ||||
\(495\) | −0.958667 | − | 1.66046i | −0.0430889 | − | 0.0746321i | ||||
\(496\) | 1.72036 | − | 9.75665i | 0.0772465 | − | 0.438087i | ||||
\(497\) | 3.02652 | − | 17.1643i | 0.135758 | − | 0.769922i | ||||
\(498\) | −9.56642 | − | 8.02718i | −0.428682 | − | 0.359707i | ||||
\(499\) | 6.35892 | + | 2.31446i | 0.284664 | + | 0.103609i | 0.480406 | − | 0.877046i | \(-0.340489\pi\) |
−0.195742 | + | 0.980655i | \(0.562711\pi\) | |||||||
\(500\) | −11.4226 | − | 4.15749i | −0.510835 | − | 0.185929i | ||||
\(501\) | −9.31069 | − | 7.81260i | −0.415971 | − | 0.349041i | ||||
\(502\) | 1.14443 | − | 6.49037i | 0.0510783 | − | 0.289679i | ||||
\(503\) | −4.76565 | + | 27.0274i | −0.212490 | + | 1.20509i | 0.672719 | + | 0.739898i | \(0.265126\pi\) |
−0.885209 | + | 0.465193i | \(0.845985\pi\) | |||||||
\(504\) | −0.625726 | − | 1.08379i | −0.0278720 | − | 0.0482758i | ||||
\(505\) | −17.2449 | + | 14.4702i | −0.767390 | + | 0.643917i | ||||
\(506\) | −1.69908 | + | 0.618414i | −0.0755333 | + | 0.0274919i | ||||
\(507\) | −0.874506 | + | 1.51469i | −0.0388382 | + | 0.0672697i | ||||
\(508\) | 3.54760 | + | 6.14462i | 0.157399 | + | 0.272623i | ||||
\(509\) | 16.0780 | + | 13.4910i | 0.712643 | + | 0.597978i | 0.925339 | − | 0.379140i | \(-0.123780\pi\) |
−0.212696 | + | 0.977118i | \(0.568225\pi\) | |||||||
\(510\) | 5.34090 | − | 9.25071i | 0.236499 | − | 0.409628i | ||||
\(511\) | 6.12236 | + | 34.7216i | 0.270837 | + | 1.53599i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 6.25301 | + | 35.4626i | 0.276077 | + | 1.56571i | ||||
\(514\) | 7.37373 | − | 6.18729i | 0.325241 | − | 0.272910i | ||||
\(515\) | 22.8608 | + | 8.32066i | 1.00737 | + | 0.366652i | ||||
\(516\) | 14.3112 | − | 5.20886i | 0.630017 | − | 0.229307i | ||||
\(517\) | 22.0739 | 0.970809 | ||||||||
\(518\) | 20.8825 | − | 1.85372i | 0.917524 | − | 0.0814477i | ||||
\(519\) | −46.5975 | −2.04540 | ||||||||
\(520\) | −6.12954 | + | 2.23097i | −0.268798 | + | 0.0978345i | ||||
\(521\) | 35.3011 | + | 12.8486i | 1.54657 | + | 0.562906i | 0.967610 | − | 0.252449i | \(-0.0812361\pi\) |
0.578961 | + | 0.815355i | \(0.303458\pi\) | |||||||
\(522\) | 0.603308 | − | 0.506235i | 0.0264061 | − | 0.0221573i | ||||
\(523\) | 3.28508 | + | 18.6306i | 0.143647 | + | 0.814660i | 0.968444 | + | 0.249232i | \(0.0801781\pi\) |
−0.824797 | + | 0.565428i | \(0.808711\pi\) | |||||||
\(524\) | 17.4639 | 0.762912 | ||||||||
\(525\) | 1.61111 | + | 9.13707i | 0.0703147 | + | 0.398774i | ||||
\(526\) | 0.795631 | − | 1.37807i | 0.0346912 | − | 0.0600869i | ||||
\(527\) | −23.5213 | − | 19.7367i | −1.02460 | − | 0.859746i | ||||
\(528\) | −2.57629 | − | 4.46226i | −0.112118 | − | 0.194195i | ||||
\(529\) | 11.2929 | − | 19.5599i | 0.490997 | − | 0.850432i | ||||
\(530\) | 8.53684 | − | 3.10716i | 0.370817 | − | 0.134966i | ||||
\(531\) | 0.153940 | − | 0.129171i | 0.00668045 | − | 0.00560556i | ||||
\(532\) | −12.8325 | − | 22.2266i | −0.556360 | − | 0.963643i | ||||
\(533\) | 6.40268 | − | 36.3114i | 0.277331 | − | 1.57282i | ||||
\(534\) | 3.08505 | − | 17.4962i | 0.133503 | − | 0.757134i | ||||
\(535\) | −22.4973 | − | 18.8775i | −0.972643 | − | 0.816144i | ||||
\(536\) | −0.198295 | − | 0.0721735i | −0.00856505 | − | 0.00311742i | ||||
\(537\) | 14.0015 | + | 5.09613i | 0.604210 | + | 0.219914i | ||||
\(538\) | 17.7108 | + | 14.8611i | 0.763566 | + | 0.640708i | ||||
\(539\) | −2.38032 | + | 13.4994i | −0.102528 | + | 0.581462i | ||||
\(540\) | −1.57815 | + | 8.95016i | −0.0679129 | + | 0.385153i | ||||
\(541\) | −8.23739 | − | 14.2676i | −0.354153 | − | 0.613411i | 0.632820 | − | 0.774299i | \(-0.281897\pi\) |
−0.986973 | + | 0.160888i | \(0.948564\pi\) | |||||||
\(542\) | 0.140511 | − | 0.117903i | 0.00603547 | − | 0.00506436i | ||||
\(543\) | 20.5188 | − | 7.46825i | 0.880548 | − | 0.320493i | ||||
\(544\) | 1.54963 | − | 2.68404i | 0.0664399 | − | 0.115077i | ||||
\(545\) | 1.45663 | + | 2.52296i | 0.0623951 | + | 0.108072i | ||||
\(546\) | 16.8049 | + | 14.1010i | 0.719184 | + | 0.603467i | ||||
\(547\) | 6.00067 | − | 10.3935i | 0.256570 | − | 0.444392i | −0.708751 | − | 0.705459i | \(-0.750741\pi\) |
0.965321 | + | 0.261067i | \(0.0840742\pi\) | |||||||
\(548\) | 1.71166 | + | 9.70729i | 0.0731184 | + | 0.414675i | ||||
\(549\) | 2.54584 | 0.108654 | ||||||||
\(550\) | 0.716183 | + | 4.06167i | 0.0305381 | + | 0.173190i | ||||
\(551\) | 12.3728 | − | 10.3820i | 0.527097 | − | 0.442287i | ||||
\(552\) | −1.10899 | − | 0.403641i | −0.0472020 | − | 0.0171801i | ||||
\(553\) | 6.16927 | − | 2.24543i | 0.262344 | − | 0.0954855i | ||||
\(554\) | −12.6914 | −0.539204 | ||||||||
\(555\) | 17.1885 | + | 12.0030i | 0.729610 | + | 0.509498i | ||||
\(556\) | −8.99490 | −0.381469 | ||||||||
\(557\) | 40.2026 | − | 14.6325i | 1.70344 | − | 0.620001i | 0.707229 | − | 0.706985i | \(-0.249945\pi\) |
0.996210 | + | 0.0869842i | \(0.0277230\pi\) | |||||||
\(558\) | −3.38036 | − | 1.23035i | −0.143102 | − | 0.0520849i | ||||
\(559\) | −22.0801 | + | 18.5274i | −0.933890 | + | 0.783627i | ||||
\(560\) | −1.12479 | − | 6.37901i | −0.0475311 | − | 0.269562i | ||||
\(561\) | −15.9692 | −0.674219 | ||||||||
\(562\) | 3.02774 | + | 17.1712i | 0.127718 | + | 0.724323i | ||||
\(563\) | −11.8738 | + | 20.5660i | −0.500421 | + | 0.866754i | 0.499579 | + | 0.866268i | \(0.333488\pi\) |
−1.00000 | 0.000486132i | \(0.999845\pi\) | ||||||||
\(564\) | 11.0369 | + | 9.26110i | 0.464739 | + | 0.389963i | ||||
\(565\) | −4.80629 | − | 8.32474i | −0.202202 | − | 0.350224i | ||||
\(566\) | 6.56696 | − | 11.3743i | 0.276030 | − | 0.478098i | ||||
\(567\) | 32.2493 | − | 11.7378i | 1.35434 | − | 0.492941i | ||||
\(568\) | 3.87384 | − | 3.25054i | 0.162543 | − | 0.136389i | ||||
\(569\) | 2.64332 | + | 4.57837i | 0.110814 | + | 0.191935i | 0.916099 | − | 0.400953i | \(-0.131321\pi\) |
−0.805285 | + | 0.592888i | \(0.797988\pi\) | |||||||
\(570\) | 4.45668 | − | 25.2751i | 0.186670 | − | 1.05866i | ||||
\(571\) | −4.21057 | + | 23.8793i | −0.176207 | + | 0.999318i | 0.760535 | + | 0.649297i | \(0.224937\pi\) |
−0.936742 | + | 0.350021i | \(0.886174\pi\) | |||||||
\(572\) | 7.47024 | + | 6.26827i | 0.312346 | + | 0.262090i | ||||
\(573\) | 0.459636 | + | 0.167294i | 0.0192016 | + | 0.00698880i | ||||
\(574\) | 34.4062 | + | 12.5228i | 1.43609 | + | 0.522693i | ||||
\(575\) | 0.723648 | + | 0.607213i | 0.0301782 | + | 0.0253225i | ||||
\(576\) | 0.0630519 | − | 0.357585i | 0.00262716 | − | 0.0148994i | ||||
\(577\) | −0.296836 | + | 1.68344i | −0.0123574 | + | 0.0700825i | −0.990363 | − | 0.138497i | \(-0.955773\pi\) |
0.978005 | + | 0.208579i | \(0.0668840\pi\) | |||||||
\(578\) | 3.69728 | + | 6.40388i | 0.153787 | + | 0.266366i | ||||
\(579\) | −11.1380 | + | 9.34588i | −0.462879 | + | 0.388402i | ||||
\(580\) | 3.83053 | − | 1.39420i | 0.159054 | − | 0.0578909i | ||||
\(581\) | −11.7350 | + | 20.3255i | −0.486848 | + | 0.843245i | ||||
\(582\) | 15.6428 | + | 27.0941i | 0.648414 | + | 1.12309i | ||||
\(583\) | −10.4041 | − | 8.73005i | −0.430893 | − | 0.361562i | ||||
\(584\) | −5.11485 | + | 8.85918i | −0.211654 | + | 0.366595i | ||||
\(585\) | 0.411283 | + | 2.33250i | 0.0170044 | + | 0.0964370i | ||||
\(586\) | 6.78723 | 0.280378 | ||||||||
\(587\) | 4.51530 | + | 25.6076i | 0.186366 | + | 1.05694i | 0.924187 | + | 0.381940i | \(0.124744\pi\) |
−0.737821 | + | 0.674997i | \(0.764145\pi\) | |||||||
\(588\) | −6.85385 | + | 5.75106i | −0.282648 | + | 0.237170i | ||||
\(589\) | −69.3251 | − | 25.2323i | −2.85649 | − | 1.03968i | ||||
\(590\) | 0.977400 | − | 0.355745i | 0.0402389 | − | 0.0146458i | ||||
\(591\) | 0.754877 | 0.0310515 | ||||||||
\(592\) | 4.98714 | + | 3.48260i | 0.204970 | + | 0.143134i | ||||
\(593\) | 19.5933 | 0.804601 | 0.402300 | − | 0.915508i | \(-0.368211\pi\) | ||||
0.402300 | + | 0.915508i | \(0.368211\pi\) | |||||||
\(594\) | 12.7674 | − | 4.64696i | 0.523854 | − | 0.190667i | ||||
\(595\) | −18.8645 | − | 6.86613i | −0.773370 | − | 0.281484i | ||||
\(596\) | −7.63977 | + | 6.41053i | −0.312937 | + | 0.262586i | ||||
\(597\) | 0.648053 | + | 3.67529i | 0.0265231 | + | 0.150420i | ||||
\(598\) | 2.23357 | 0.0913376 | ||||||||
\(599\) | 6.43804 | + | 36.5119i | 0.263051 | + | 1.49184i | 0.774528 | + | 0.632540i | \(0.217988\pi\) |
−0.511477 | + | 0.859297i | \(0.670901\pi\) | |||||||
\(600\) | −1.34598 | + | 2.33131i | −0.0549495 | + | 0.0951754i | ||||
\(601\) | −14.1667 | − | 11.8873i | −0.577871 | − | 0.484892i | 0.306376 | − | 0.951911i | \(-0.400884\pi\) |
−0.884247 | + | 0.467019i | \(0.845328\pi\) | |||||||
\(602\) | −14.3112 | − | 24.7878i | −0.583282 | − | 1.01027i | ||||
\(603\) | −0.0383111 | + | 0.0663567i | −0.00156015 | + | 0.00270226i | ||||
\(604\) | −9.07997 | + | 3.30484i | −0.369459 | + | 0.134472i | ||||
\(605\) | 4.47140 | − | 3.75195i | 0.181788 | − | 0.152539i | ||||
\(606\) | 10.9833 | + | 19.0236i | 0.446165 | + | 0.772781i | ||||
\(607\) | 0.923385 | − | 5.23678i | 0.0374791 | − | 0.212554i | −0.960317 | − | 0.278911i | \(-0.910026\pi\) |
0.997796 | + | 0.0663569i | \(0.0211376\pi\) | |||||||
\(608\) | 1.29308 | − | 7.33343i | 0.0524414 | − | 0.297410i | ||||
\(609\) | −10.5019 | − | 8.81212i | −0.425557 | − | 0.357085i | ||||
\(610\) | 12.3824 | + | 4.50682i | 0.501348 | + | 0.182476i | ||||
\(611\) | −25.6234 | − | 9.32617i | −1.03661 | − | 0.377296i | ||||
\(612\) | −0.862066 | − | 0.723359i | −0.0348470 | − | 0.0292401i | ||||
\(613\) | 7.01848 | − | 39.8038i | 0.283474 | − | 1.60766i | −0.427213 | − | 0.904151i | \(-0.640505\pi\) |
0.710687 | − | 0.703508i | \(-0.248384\pi\) | |||||||
\(614\) | 1.42476 | − | 8.08020i | 0.0574985 | − | 0.326090i | ||||
\(615\) | 18.3072 | + | 31.7089i | 0.738216 | + | 1.27863i | ||||
\(616\) | −7.41812 | + | 6.22454i | −0.298884 | + | 0.250794i | ||||
\(617\) | 30.8191 | − | 11.2172i | 1.24073 | − | 0.451589i | 0.363470 | − | 0.931606i | \(-0.381592\pi\) |
0.877259 | + | 0.480017i | \(0.159370\pi\) | |||||||
\(618\) | 11.8694 | − | 20.5585i | 0.477459 | − | 0.826984i | ||||
\(619\) | 2.07537 | + | 3.59465i | 0.0834163 | + | 0.144481i | 0.904715 | − | 0.426017i | \(-0.140084\pi\) |
−0.821299 | + | 0.570498i | \(0.806750\pi\) | |||||||
\(620\) | −14.2633 | − | 11.9683i | −0.572827 | − | 0.480659i | ||||
\(621\) | 1.55599 | − | 2.69506i | 0.0624398 | − | 0.108149i | ||||
\(622\) | −1.88461 | − | 10.6882i | −0.0755660 | − | 0.428556i | ||||
\(623\) | −33.3893 | −1.33772 | ||||||||
\(624\) | 1.10527 | + | 6.26827i | 0.0442460 | + | 0.250932i | ||||
\(625\) | −11.8780 | + | 9.96686i | −0.475122 | + | 0.398674i | ||||
\(626\) | 8.13361 | + | 2.96039i | 0.325085 | + | 0.118321i | ||||
\(627\) | −36.0550 | + | 13.1229i | −1.43990 | + | 0.524080i | ||||
\(628\) | −8.78957 | −0.350742 | ||||||||
\(629\) | 17.0757 | − | 7.98893i | 0.680851 | − | 0.318540i | ||||
\(630\) | −2.35196 | −0.0937043 | ||||||||
\(631\) | −28.1162 | + | 10.2335i | −1.11929 | + | 0.407387i | −0.834392 | − | 0.551171i | \(-0.814181\pi\) |
−0.284896 | + | 0.958559i | \(0.591959\pi\) | |||||||
\(632\) | 1.78998 | + | 0.651500i | 0.0712016 | + | 0.0259153i | ||||
\(633\) | 22.1135 | − | 18.5554i | 0.878932 | − | 0.737512i | ||||
\(634\) | −4.41505 | − | 25.0390i | −0.175344 | − | 0.994425i | ||||
\(635\) | 13.3346 | 0.529168 | ||||||||
\(636\) | −1.53934 | − | 8.73005i | −0.0610390 | − | 0.346169i | ||||
\(637\) | 8.46656 | − | 14.6645i | 0.335457 | − | 0.581029i | ||||
\(638\) | −4.66837 | − | 3.91722i | −0.184822 | − | 0.155084i | ||||
\(639\) | −0.918091 | − | 1.59018i | −0.0363191 | − | 0.0629065i | ||||
\(640\) | 0.939693 | − | 1.62760i | 0.0371446 | − | 0.0643364i | ||||
\(641\) | −6.42331 | + | 2.33789i | −0.253705 | + | 0.0923412i | −0.465742 | − | 0.884920i | \(-0.654213\pi\) |
0.212037 | + | 0.977262i | \(0.431990\pi\) | |||||||
\(642\) | −21.9525 | + | 18.4203i | −0.866397 | + | 0.726993i | ||||
\(643\) | −18.7592 | − | 32.4920i | −0.739792 | − | 1.28136i | −0.952589 | − | 0.304262i | \(-0.901590\pi\) |
0.212796 | − | 0.977097i | \(-0.431743\pi\) | |||||||
\(644\) | −0.385150 | + | 2.18429i | −0.0151770 | + | 0.0860732i | ||||
\(645\) | 4.97024 | − | 28.1876i | 0.195703 | − | 1.10989i | ||||
\(646\) | −17.6794 | − | 14.8348i | −0.695588 | − | 0.583667i | ||||
\(647\) | −2.48480 | − | 0.904395i | −0.0976877 | − | 0.0355554i | 0.292714 | − | 0.956200i | \(-0.405442\pi\) |
−0.390402 | + | 0.920645i | \(0.627664\pi\) | |||||||
\(648\) | 9.35695 | + | 3.40565i | 0.367576 | + | 0.133787i | ||||
\(649\) | −1.19118 | − | 0.999522i | −0.0467580 | − | 0.0392347i | ||||
\(650\) | 0.884701 | − | 5.01739i | 0.0347008 | − | 0.196798i | ||||
\(651\) | −10.8736 | + | 61.6675i | −0.426172 | + | 2.41694i | ||||
\(652\) | 0.953582 | + | 1.65165i | 0.0373451 | + | 0.0646837i | ||||
\(653\) | −34.2792 | + | 28.7636i | −1.34145 | + | 1.12561i | −0.360197 | + | 0.932876i | \(0.617290\pi\) |
−0.981251 | + | 0.192732i | \(0.938265\pi\) | |||||||
\(654\) | 2.67128 | − | 0.972265i | 0.104455 | − | 0.0380186i | ||||
\(655\) | 16.4107 | − | 28.4241i | 0.641218 | − | 1.11062i | ||||
\(656\) | 5.31172 | + | 9.20017i | 0.207388 | + | 0.359206i | ||||
\(657\) | 2.84541 | + | 2.38758i | 0.111010 | + | 0.0931485i | ||||
\(658\) | 13.5388 | − | 23.4499i | 0.527798 | − | 0.914173i | ||||
\(659\) | −0.790306 | − | 4.48205i | −0.0307859 | − | 0.174596i | 0.965538 | − | 0.260262i | \(-0.0838091\pi\) |
−0.996324 | + | 0.0856667i | \(0.972698\pi\) | |||||||
\(660\) | −9.68366 | −0.376936 | ||||||||
\(661\) | −7.56467 | − | 42.9014i | −0.294231 | − | 1.66867i | −0.670310 | − | 0.742082i | \(-0.733839\pi\) |
0.376078 | − | 0.926588i | \(-0.377272\pi\) | |||||||
\(662\) | −15.9349 | + | 13.3710i | −0.619327 | + | 0.519677i | ||||
\(663\) | 18.5371 | + | 6.74694i | 0.719919 | + | 0.262029i | ||||
\(664\) | −6.39899 | + | 2.32904i | −0.248329 | + | 0.0903843i | ||||
\(665\) | −48.2344 | −1.87045 | ||||||||
\(666\) | 1.55977 | − | 1.56374i | 0.0604400 | − | 0.0605938i | ||||
\(667\) | −1.39582 | −0.0540465 | ||||||||
\(668\) | −6.22793 | + | 2.26678i | −0.240966 | + | 0.0877044i | ||||
\(669\) | −5.92000 | − | 2.15470i | −0.228880 | − | 0.0833057i | ||||
\(670\) | −0.303806 | + | 0.254923i | −0.0117370 | + | 0.00984855i | ||||
\(671\) | −3.42080 | − | 19.4003i | −0.132058 | − | 0.748940i | ||||
\(672\) | −6.32056 | −0.243821 | ||||||||
\(673\) | 6.60813 | + | 37.4766i | 0.254725 | + | 1.44462i | 0.796778 | + | 0.604272i | \(0.206536\pi\) |
−0.542053 | + | 0.840344i | \(0.682353\pi\) | |||||||
\(674\) | 1.23612 | − | 2.14103i | 0.0476136 | − | 0.0824693i | ||||
\(675\) | −5.43772 | − | 4.56279i | −0.209298 | − | 0.175622i | ||||
\(676\) | 0.476862 | + | 0.825949i | 0.0183408 | + | 0.0317673i | ||||
\(677\) | −22.0131 | + | 38.1278i | −0.846032 | + | 1.46537i | 0.0386894 | + | 0.999251i | \(0.487682\pi\) |
−0.884722 | + | 0.466120i | \(0.845652\pi\) | |||||||
\(678\) | −8.81414 | + | 3.20809i | −0.338505 | + | 0.123206i | ||||
\(679\) | 45.0416 | − | 37.7944i | 1.72854 | − | 1.45042i | ||||
\(680\) | −2.91235 | − | 5.04435i | −0.111684 | − | 0.193442i | ||||
\(681\) | 0.736510 | − | 4.17696i | 0.0282231 | − | 0.160061i | ||||
\(682\) | −4.83363 | + | 27.4129i | −0.185089 | + | 1.04969i | ||||
\(683\) | 14.4021 | + | 12.0848i | 0.551081 | + | 0.462412i | 0.875307 | − | 0.483568i | \(-0.160659\pi\) |
−0.324226 | + | 0.945980i | \(0.605104\pi\) | |||||||
\(684\) | −2.54079 | − | 0.924774i | −0.0971497 | − | 0.0353596i | ||||
\(685\) | 17.4080 | + | 6.33598i | 0.665125 | + | 0.242086i | ||||
\(686\) | −5.60050 | − | 4.69938i | −0.213828 | − | 0.179423i | ||||
\(687\) | 1.88233 | − | 10.6752i | 0.0718155 | − | 0.407286i | ||||
\(688\) | 1.44209 | − | 8.17848i | 0.0549791 | − | 0.311802i | ||||
\(689\) | 8.38865 | + | 14.5296i | 0.319582 | + | 0.553532i | ||||
\(690\) | −1.69908 | + | 1.42570i | −0.0646828 | + | 0.0542753i | ||||
\(691\) | −25.3128 | + | 9.21310i | −0.962944 | + | 0.350483i | −0.775186 | − | 0.631733i | \(-0.782344\pi\) |
−0.187757 | + | 0.982215i | \(0.560122\pi\) | |||||||
\(692\) | −12.7046 | + | 22.0051i | −0.482958 | + | 0.836508i | ||||
\(693\) | 1.75808 | + | 3.04508i | 0.0667838 | + | 0.115673i | ||||
\(694\) | −4.48427 | − | 3.76275i | −0.170220 | − | 0.142832i | ||||
\(695\) | −8.45244 | + | 14.6401i | −0.320619 | + | 0.555329i | ||||
\(696\) | −0.690712 | − | 3.91722i | −0.0261814 | − | 0.148482i | ||||
\(697\) | 32.9248 | 1.24712 | ||||||||
\(698\) | 0.545283 | + | 3.09246i | 0.0206393 | + | 0.117051i | ||||
\(699\) | 39.8069 | − | 33.4020i | 1.50564 | − | 1.26338i | ||||
\(700\) | 4.75413 | + | 1.73036i | 0.179689 | + | 0.0654016i | ||||
\(701\) | −6.98332 | + | 2.54172i | −0.263756 | + | 0.0959995i | −0.470513 | − | 0.882393i | \(-0.655931\pi\) |
0.206757 | + | 0.978392i | \(0.433709\pi\) | |||||||
\(702\) | −16.7838 | −0.633463 | ||||||||
\(703\) | 31.9881 | − | 32.0695i | 1.20646 | − | 1.20953i | ||||
\(704\) | −2.80966 | −0.105893 | ||||||||
\(705\) | 25.4447 | − | 9.26110i | 0.958302 | − | 0.348793i | ||||
\(706\) | 10.5699 | + | 3.84713i | 0.397804 | + | 0.144789i | ||||
\(707\) | 31.6251 | − | 26.5366i | 1.18938 | − | 0.998012i | ||||
\(708\) | −0.176243 | − | 0.999522i | −0.00662360 | − | 0.0375643i | ||||
\(709\) | 0.834473 | 0.0313393 | 0.0156697 | − | 0.999877i | \(-0.495012\pi\) | ||||
0.0156697 | + | 0.999877i | \(0.495012\pi\) | |||||||
\(710\) | −1.65034 | − | 9.35955i | −0.0619362 | − | 0.351258i | ||||
\(711\) | 0.345828 | − | 0.598992i | 0.0129696 | − | 0.0224640i | ||||
\(712\) | −7.42123 | − | 6.22715i | −0.278122 | − | 0.233372i | ||||
\(713\) | 3.18781 | + | 5.52146i | 0.119385 | + | 0.206780i | ||||
\(714\) | −9.79455 | + | 16.9646i | −0.366552 | + | 0.634886i | ||||
\(715\) | 17.2219 | − | 6.26827i | 0.644064 | − | 0.234420i | ||||
\(716\) | 6.22405 | − | 5.22260i | 0.232604 | − | 0.195178i | ||||
\(717\) | 22.2248 | + | 38.4945i | 0.830000 | + | 1.43760i | ||||
\(718\) | −4.01012 | + | 22.7425i | −0.149656 | + | 0.848743i | ||||
\(719\) | −0.874879 | + | 4.96169i | −0.0326275 | + | 0.185040i | −0.996766 | − | 0.0803603i | \(-0.974393\pi\) |
0.964138 | + | 0.265400i | \(0.0855040\pi\) | |||||||
\(720\) | −0.522755 | − | 0.438643i | −0.0194819 | − | 0.0163473i | ||||
\(721\) | −41.9239 | − | 15.2591i | −1.56133 | − | 0.568277i | ||||
\(722\) | −34.2530 | − | 12.4671i | −1.27476 | − | 0.463976i | ||||
\(723\) | −12.4337 | − | 10.4331i | −0.462415 | − | 0.388012i | ||||
\(724\) | 2.06760 | − | 11.7260i | 0.0768419 | − | 0.435792i | ||||
\(725\) | −0.552875 | + | 3.13551i | −0.0205333 | + | 0.116450i | ||||
\(726\) | −2.84783 | − | 4.93259i | −0.105693 | − | 0.183065i | ||||
\(727\) | 14.2591 | − | 11.9648i | 0.528842 | − | 0.443751i | −0.338860 | − | 0.940837i | \(-0.610041\pi\) |
0.867701 | + | 0.497086i | \(0.165597\pi\) | |||||||
\(728\) | 11.2408 | − | 4.09132i | 0.416613 | − | 0.151635i | ||||
\(729\) | −11.4945 | + | 19.9090i | −0.425720 | + | 0.737369i | ||||
\(730\) | 9.61277 | + | 16.6498i | 0.355785 | + | 0.616237i | ||||
\(731\) | −19.7167 | − | 16.5443i | −0.729248 | − | 0.611912i | ||||
\(732\) | 6.42899 | − | 11.1353i | 0.237622 | − | 0.411574i | ||||
\(733\) | 0.797139 | + | 4.52080i | 0.0294430 | + | 0.166980i | 0.995984 | − | 0.0895332i | \(-0.0285375\pi\) |
−0.966541 | + | 0.256513i | \(0.917426\pi\) | |||||||
\(734\) | 1.57151 | 0.0580054 | ||||||||
\(735\) | 2.91989 | + | 16.5595i | 0.107702 | + | 0.610807i | ||||
\(736\) | −0.492978 | + | 0.413658i | −0.0181714 | + | 0.0152476i | ||||
\(737\) | 0.557142 | + | 0.202783i | 0.0205226 | + | 0.00746961i | ||||
\(738\) | 3.62476 | − | 1.31930i | 0.133429 | − | 0.0485643i | ||||
\(739\) | −46.9098 | −1.72560 | −0.862802 | − | 0.505542i | \(-0.831292\pi\) | ||||
−0.862802 | + | 0.505542i | \(0.831292\pi\) | |||||||
\(740\) | 10.3546 | − | 4.84447i | 0.380644 | − | 0.178086i | ||||
\(741\) | 47.3971 | 1.74118 | ||||||||
\(742\) | −15.6555 | + | 5.69814i | −0.574732 | + | 0.209185i | ||||
\(743\) | −4.69037 | − | 1.70716i | −0.172073 | − | 0.0626295i | 0.254547 | − | 0.967060i | \(-0.418074\pi\) |
−0.426620 | + | 0.904431i | \(0.640296\pi\) | |||||||
\(744\) | −13.9179 | + | 11.6785i | −0.510254 | + | 0.428154i | ||||
\(745\) | 3.25471 | + | 18.4584i | 0.119243 | + | 0.676263i | ||||
\(746\) | 6.69192 | 0.245009 | ||||||||
\(747\) | 0.429362 | + | 2.43503i | 0.0157095 | + | 0.0890932i | ||||
\(748\) | −4.35394 | + | 7.54125i | −0.159196 | + | 0.275735i | ||||
\(749\) | 41.2572 | + | 34.6189i | 1.50751 | + | 1.26495i | ||||
\(750\) | 11.1460 | + | 19.3055i | 0.406995 | + | 0.704936i | ||||
\(751\) | −9.41422 | + | 16.3059i | −0.343530 | + | 0.595011i | −0.985086 | − | 0.172065i | \(-0.944956\pi\) |
0.641556 | + | 0.767077i | \(0.278289\pi\) | |||||||
\(752\) | 7.38263 | − | 2.68706i | 0.269217 | − | 0.0979869i | ||||
\(753\) | −9.25853 | + | 7.76883i | −0.337400 | + | 0.283112i | ||||
\(754\) | 3.76403 | + | 6.51950i | 0.137078 | + | 0.237426i | ||||
\(755\) | −3.15344 | + | 17.8841i | −0.114766 | + | 0.650867i | ||||
\(756\) | 2.89414 | − | 16.4135i | 0.105259 | − | 0.596952i | ||||
\(757\) | 0.598778 | + | 0.502435i | 0.0217630 | + | 0.0182613i | 0.653604 | − | 0.756837i | \(-0.273256\pi\) |
−0.631841 | + | 0.775098i | \(0.717701\pi\) | |||||||
\(758\) | 10.3103 | + | 3.75263i | 0.374486 | + | 0.136302i | ||||
\(759\) | 3.11590 | + | 1.13409i | 0.113100 | + | 0.0411650i | ||||
\(760\) | −10.7208 | − | 8.99578i | −0.388883 | − | 0.326311i | ||||
\(761\) | −5.27399 | + | 29.9103i | −0.191182 | + | 1.08425i | 0.726570 | + | 0.687092i | \(0.241113\pi\) |
−0.917752 | + | 0.397154i | \(0.869998\pi\) | |||||||
\(762\) | 2.25946 | − | 12.8140i | 0.0818516 | − | 0.464203i | ||||
\(763\) | −2.67128 | − | 4.62679i | −0.0967067 | − | 0.167501i | ||||
\(764\) | 0.204321 | − | 0.171445i | 0.00739206 | − | 0.00620267i | ||||
\(765\) | −1.98741 | + | 0.723359i | −0.0718551 | + | 0.0261531i | ||||
\(766\) | 12.6285 | − | 21.8733i | 0.456287 | − | 0.790313i | ||||
\(767\) | 0.960433 | + | 1.66352i | 0.0346792 | + | 0.0600662i | ||||
\(768\) | −1.40483 | − | 1.17879i | −0.0506925 | − | 0.0425360i | ||||
\(769\) | 7.98228 | − | 13.8257i | 0.287848 | − | 0.498568i | −0.685448 | − | 0.728122i | \(-0.740393\pi\) |
0.973296 | + | 0.229554i | \(0.0737268\pi\) | |||||||
\(770\) | 3.16028 | + | 17.9228i | 0.113889 | + | 0.645895i | ||||
\(771\) | −17.6524 | −0.635735 | ||||||||
\(772\) | 1.37674 | + | 7.80790i | 0.0495501 | + | 0.281012i | ||||
\(773\) | 20.2985 | − | 17.0324i | 0.730086 | − | 0.612615i | −0.200069 | − | 0.979782i | \(-0.564117\pi\) |
0.930155 | + | 0.367167i | \(0.119672\pi\) | |||||||
\(774\) | −2.83358 | − | 1.03134i | −0.101851 | − | 0.0370707i | ||||
\(775\) | 13.6658 | − | 4.97394i | 0.490890 | − | 0.178669i | ||||
\(776\) | 17.0598 | 0.612411 | ||||||||
\(777\) | −31.5215 | − | 22.0120i | −1.13083 | − | 0.789675i | ||||
\(778\) | −10.8120 | −0.387629 | ||||||||
\(779\) | 74.3373 | − | 27.0566i | 2.66341 | − | 0.969402i | ||||
\(780\) | 11.2408 | + | 4.09132i | 0.402486 | + | 0.146493i | ||||
\(781\) | −10.8842 | + | 9.13291i | −0.389466 | + | 0.326801i | ||||
\(782\) | 0.346340 | + | 1.96419i | 0.0123851 | + | 0.0702393i | ||||
\(783\) | 10.4887 | 0.374834 | ||||||||
\(784\) | 0.847190 | + | 4.80465i | 0.0302568 | + | 0.171595i | ||||
\(785\) | −8.25949 | + | 14.3059i | −0.294794 | + | 0.510598i | ||||
\(786\) | −24.5338 | − | 20.5863i | −0.875090 | − | 0.734288i | ||||
\(787\) | 24.1869 | + | 41.8930i | 0.862171 | + | 1.49332i | 0.869829 | + | 0.493353i | \(0.164229\pi\) |
−0.00765866 | + | 0.999971i | \(0.502438\pi\) | |||||||
\(788\) | 0.205815 | − | 0.356481i | 0.00733184 | − | 0.0126991i | ||||
\(789\) | −2.74219 | + | 0.998076i | −0.0976246 | + | 0.0355324i | ||||
\(790\) | 2.74241 | − | 2.30115i | 0.0975705 | − | 0.0818714i | ||||
\(791\) | 8.81414 | + | 15.2665i | 0.313395 | + | 0.542816i | ||||
\(792\) | −0.177155 | + | 1.00469i | −0.00629491 | + | 0.0357002i | ||||
\(793\) | −4.22571 | + | 23.9652i | −0.150059 | + | 0.851029i | ||||
\(794\) | −8.28202 | − | 6.94944i | −0.293918 | − | 0.246626i | ||||
\(795\) | −15.6555 | − | 5.69814i | −0.555244 | − | 0.202092i | ||||
\(796\) | 1.91230 | + | 0.696021i | 0.0677797 | + | 0.0246698i | ||||
\(797\) | 18.1488 | + | 15.2286i | 0.642863 | + | 0.539426i | 0.904896 | − | 0.425633i | \(-0.139948\pi\) |
−0.262033 | + | 0.965059i | \(0.584393\pi\) | |||||||
\(798\) | −8.17300 | + | 46.3514i | −0.289321 | + | 1.64082i | ||||
\(799\) | 4.22818 | − | 23.9792i | 0.149582 | − | 0.848324i | ||||
\(800\) | 0.733956 | + | 1.27125i | 0.0259492 | + | 0.0449454i | ||||
\(801\) | −2.69466 | + | 2.26109i | −0.0952112 | + | 0.0798917i | ||||
\(802\) | 32.6049 | − | 11.8672i | 1.15132 | − | 0.419046i | ||||
\(803\) | 14.3710 | − | 24.8913i | 0.507141 | − | 0.878395i | ||||
\(804\) | 0.193493 | + | 0.335141i | 0.00682399 | + | 0.0118195i | ||||
\(805\) | 3.19322 | + | 2.67943i | 0.112546 | + | 0.0944376i | ||||
\(806\) | 17.1928 | − | 29.7787i | 0.605589 | − | 1.04891i | ||||
\(807\) | −7.36248 | − | 41.7547i | −0.259171 | − | 1.46983i | ||||
\(808\) | 11.9782 | 0.421392 | ||||||||
\(809\) | 0.138317 | + | 0.784433i | 0.00486295 | + | 0.0275792i | 0.987143 | − | 0.159842i | \(-0.0510983\pi\) |
−0.982280 | + | 0.187421i | \(0.939987\pi\) | |||||||
\(810\) | 14.3357 | − | 12.0291i | 0.503705 | − | 0.422658i | ||||
\(811\) | −13.0191 | − | 4.73855i | −0.457161 | − | 0.166393i | 0.103166 | − | 0.994664i | \(-0.467103\pi\) |
−0.560328 | + | 0.828271i | \(0.689325\pi\) | |||||||
\(812\) | −7.02471 | + | 2.55679i | −0.246519 | + | 0.0897256i | ||||
\(813\) | −0.336377 | −0.0117973 | ||||||||
\(814\) | −14.0122 | − | 9.78491i | −0.491126 | − | 0.342961i | ||||
\(815\) | 3.58429 | 0.125552 | ||||||||
\(816\) | −5.34090 | + | 1.94393i | −0.186969 | + | 0.0680511i | ||||
\(817\) | −58.1116 | − | 21.1509i | −2.03307 | − | 0.739976i | ||||
\(818\) | 1.44561 | − | 1.21301i | 0.0505445 | − | 0.0424118i | ||||
\(819\) | −0.754242 | − | 4.27752i | −0.0263553 | − | 0.149469i | ||||
\(820\) | 19.9655 | 0.697227 | ||||||||
\(821\) | −3.79631 | − | 21.5300i | −0.132492 | − | 0.751401i | −0.976573 | − | 0.215185i | \(-0.930965\pi\) |
0.844081 | − | 0.536216i | \(-0.180147\pi\) | |||||||
\(822\) | 9.03830 | − | 15.6548i | 0.315247 | − | 0.546024i | ||||
\(823\) | 26.4467 | + | 22.1914i | 0.921873 | + | 0.773544i | 0.974341 | − | 0.225079i | \(-0.0722640\pi\) |
−0.0524672 | + | 0.998623i | \(0.516708\pi\) | |||||||
\(824\) | −6.47233 | − | 11.2104i | −0.225474 | − | 0.390533i | ||||
\(825\) | 3.78176 | − | 6.55020i | 0.131664 | − | 0.228049i | ||||
\(826\) | −1.79243 | + | 0.652392i | −0.0623666 | + | 0.0226996i | ||||
\(827\) | 3.04336 | − | 2.55369i | 0.105828 | − | 0.0888003i | −0.588338 | − | 0.808615i | \(-0.700218\pi\) |
0.694166 | + | 0.719815i | \(0.255773\pi\) | |||||||
\(828\) | 0.116835 | + | 0.202364i | 0.00406029 | + | 0.00703262i | ||||
\(829\) | −2.91749 | + | 16.5459i | −0.101329 | + | 0.574664i | 0.891295 | + | 0.453425i | \(0.149798\pi\) |
−0.992623 | + | 0.121239i | \(0.961313\pi\) | |||||||
\(830\) | −2.22235 | + | 12.6035i | −0.0771387 | + | 0.437475i | ||||
\(831\) | 17.8292 | + | 14.9605i | 0.618488 | + | 0.518973i | ||||
\(832\) | 3.26146 | + | 1.18707i | 0.113071 | + | 0.0411544i | ||||
\(833\) | 14.2087 | + | 5.17155i | 0.492303 | + | 0.179184i | ||||
\(834\) | 12.6363 | + | 10.6031i | 0.437560 | + | 0.367156i | ||||
\(835\) | −2.16294 | + | 12.2666i | −0.0748515 | + | 0.424504i | ||||
\(836\) | −3.63312 | + | 20.6045i | −0.125654 | + | 0.712620i | ||||
\(837\) | −23.9543 | − | 41.4900i | −0.827980 | − | 1.43410i | ||||
\(838\) | −13.3503 | + | 11.2022i | −0.461179 | + | 0.386975i | ||||
\(839\) | −6.33057 | + | 2.30414i | −0.218556 | + | 0.0795478i | −0.448977 | − | 0.893543i | \(-0.648212\pi\) |
0.230422 | + | 0.973091i | \(0.425989\pi\) | |||||||
\(840\) | −5.93939 | + | 10.2873i | −0.204928 | + | 0.354946i | ||||
\(841\) | 12.1477 | + | 21.0405i | 0.418888 | + | 0.725535i | ||||
\(842\) | −13.9071 | − | 11.6694i | −0.479269 | − | 0.402155i | ||||
\(843\) | 15.9878 | − | 27.6917i | 0.550649 | − | 0.953752i | ||||
\(844\) | −2.73340 | − | 15.5019i | −0.0940876 | − | 0.533597i | ||||
\(845\) | 1.79241 | 0.0616609 | ||||||||
\(846\) | −0.495363 | − | 2.80934i | −0.0170309 | − | 0.0965872i | ||||
\(847\) | −8.20000 | + | 6.88062i | −0.281755 | + | 0.236421i | ||||
\(848\) | −4.54236 | − | 1.65328i | −0.155985 | − | 0.0567740i | ||||
\(849\) | −22.6334 | + | 8.23789i | −0.776777 | + | 0.282724i | ||||
\(850\) | 4.54944 | 0.156045 | ||||||||
\(851\) | −3.89915 | + | 0.346124i | −0.133661 | + | 0.0118650i | ||||
\(852\) | −9.27380 | −0.317715 | ||||||||
\(853\) | −40.3273 | + | 14.6779i | −1.38078 | + | 0.502563i | −0.922415 | − | 0.386201i | \(-0.873787\pi\) |
−0.458365 | + | 0.888764i | \(0.651565\pi\) | |||||||
\(854\) | −22.7078 | − | 8.26495i | −0.777044 | − | 0.282821i | ||||
\(855\) | −3.89272 | + | 3.26638i | −0.133128 | + | 0.111708i | ||||
\(856\) | 2.71350 | + | 15.3891i | 0.0927457 | + | 0.525987i | ||||
\(857\) | −27.6910 | −0.945906 | −0.472953 | − | 0.881088i | \(-0.656812\pi\) | ||||
−0.472953 | + | 0.881088i | \(0.656812\pi\) | |||||||
\(858\) | −3.10542 | − | 17.6117i | −0.106017 | − | 0.601254i | ||||
\(859\) | −9.42711 | + | 16.3282i | −0.321649 | + | 0.557112i | −0.980828 | − | 0.194873i | \(-0.937570\pi\) |
0.659179 | + | 0.751986i | \(0.270904\pi\) | |||||||
\(860\) | −11.9561 | − | 10.0324i | −0.407701 | − | 0.342102i | ||||
\(861\) | −33.5731 | − | 58.1503i | −1.14417 | − | 1.98176i | ||||
\(862\) | −14.1950 | + | 24.5865i | −0.483483 | + | 0.837418i | ||||
\(863\) | −28.0177 | + | 10.1976i | −0.953734 | + | 0.347131i | −0.771575 | − | 0.636138i | \(-0.780531\pi\) |
−0.182159 | + | 0.983269i | \(0.558309\pi\) | |||||||
\(864\) | 3.70440 | − | 3.10836i | 0.126026 | − | 0.105748i | ||||
\(865\) | 23.8769 | + | 41.3560i | 0.811839 | + | 1.40615i | ||||
\(866\) | −1.29704 | + | 7.35588i | −0.0440752 | + | 0.249963i | ||||
\(867\) | 2.35479 | − | 13.3547i | 0.0799730 | − | 0.453549i | ||||
\(868\) | 26.1571 | + | 21.9484i | 0.887829 | + | 0.744977i | ||||
\(869\) | −5.02924 | − | 1.83049i | −0.170605 | − | 0.0620952i | ||||
\(870\) | −7.02471 | − | 2.55679i | −0.238160 | − | 0.0866832i | ||||
\(871\) | −0.561057 | − | 0.470782i | −0.0190107 | − | 0.0159519i | ||||
\(872\) | 0.269174 | − | 1.52656i | 0.00911539 | − | 0.0516959i | ||||
\(873\) | 1.07565 | − | 6.10033i | 0.0364053 | − | 0.206465i | ||||
\(874\) | 2.39607 | + | 4.15011i | 0.0810483 | + | 0.140380i | ||||
\(875\) | 32.0937 | − | 26.9298i | 1.08496 | − | 0.910393i | ||||
\(876\) | 17.6286 | − | 6.41630i | 0.595616 | − | 0.216787i | ||||
\(877\) | −2.11792 | + | 3.66834i | −0.0715170 | + | 0.123871i | −0.899566 | − | 0.436784i | \(-0.856117\pi\) |
0.828049 | + | 0.560655i | \(0.189451\pi\) | |||||||
\(878\) | 17.2727 | + | 29.9171i | 0.582924 | + | 1.00965i | ||||
\(879\) | −9.53491 | − | 8.00074i | −0.321605 | − | 0.269858i | ||||
\(880\) | −2.64022 | + | 4.57299i | −0.0890017 | + | 0.154156i | ||||
\(881\) | 1.14459 | + | 6.49127i | 0.0385621 | + | 0.218697i | 0.997999 | − | 0.0632261i | \(-0.0201389\pi\) |
−0.959437 | + | 0.281923i | \(0.909028\pi\) | |||||||
\(882\) | 1.77149 | 0.0596492 | ||||||||
\(883\) | −2.14960 | − | 12.1910i | −0.0723397 | − | 0.410259i | −0.999377 | − | 0.0352901i | \(-0.988764\pi\) |
0.927037 | − | 0.374969i | \(-0.122347\pi\) | |||||||
\(884\) | 8.24022 | − | 6.91437i | 0.277149 | − | 0.232555i | ||||
\(885\) | −1.79243 | − | 0.652392i | −0.0602519 | − | 0.0219299i | ||||
\(886\) | 2.72369 | − | 0.991344i | 0.0915043 | − | 0.0333048i | ||||
\(887\) | −25.0422 | −0.840833 | −0.420417 | − | 0.907331i | \(-0.638116\pi\) | ||||
−0.420417 | + | 0.907331i | \(0.638116\pi\) | |||||||
\(888\) | −2.90082 | − | 10.7713i | −0.0973452 | − | 0.361460i | ||||
\(889\) | −24.4540 | −0.820161 | ||||||||
\(890\) | −17.1090 | + | 6.22715i | −0.573494 | + | 0.208735i | ||||
\(891\) | −26.2899 | − | 9.56873i | −0.880744 | − | 0.320565i | ||||
\(892\) | −2.63160 | + | 2.20817i | −0.0881125 | + | 0.0739351i | ||||
\(893\) | −10.1590 | − | 57.6146i | −0.339958 | − | 1.92800i | ||||
\(894\) | 18.2893 | 0.611685 | ||||||||
\(895\) | −2.65158 | − | 15.0379i | −0.0886326 | − | 0.502661i | ||||
\(896\) | −1.72328 | + | 2.98481i | −0.0575707 | + | 0.0997154i | ||||
\(897\) | −3.13779 | − | 2.63292i | −0.104768 | − | 0.0879106i | ||||
\(898\) | −13.9377 | − | 24.1409i | −0.465108 | − | 0.805591i | ||||
\(899\) | −10.7443 | + | 18.6096i | −0.358341 | + | 0.620665i | ||||
\(900\) | 0.500857 | − | 0.182297i | 0.0166952 | − | 0.00607657i | ||||
\(901\) | −11.4765 | + | 9.62989i | −0.382336 | + | 0.320818i | ||||
\(902\) | −14.9241 | − | 25.8494i | −0.496919 | − | 0.860690i | ||||
\(903\) | −9.11481 | + | 51.6926i | −0.303322 | + | 1.72022i | ||||
\(904\) | −0.888167 | + | 5.03704i | −0.0295400 | + | 0.167530i | ||||
\(905\) | −17.1422 | − | 14.3840i | −0.569826 | − | 0.478141i | ||||
\(906\) | 16.6515 | + | 6.06067i | 0.553211 | + | 0.201352i | ||||
\(907\) | 54.3968 | + | 19.7988i | 1.80622 | + | 0.657409i | 0.997613 | + | 0.0690533i | \(0.0219979\pi\) |
0.808602 | + | 0.588355i | \(0.200224\pi\) | |||||||
\(908\) | −1.77171 | − | 1.48664i | −0.0587963 | − | 0.0493359i | ||||
\(909\) | 0.755249 | − | 4.28323i | 0.0250500 | − | 0.142066i | ||||
\(910\) | 3.90390 | − | 22.1401i | 0.129413 | − | 0.733937i | ||||
\(911\) | 4.18373 | + | 7.24644i | 0.138613 | + | 0.240085i | 0.926972 | − | 0.375131i | \(-0.122402\pi\) |
−0.788359 | + | 0.615216i | \(0.789069\pi\) | |||||||
\(912\) | −10.4612 | + | 8.77795i | −0.346403 | + | 0.290667i | ||||
\(913\) | 17.9790 | − | 6.54382i | 0.595018 | − | 0.216569i | ||||
\(914\) | −4.88477 | + | 8.46066i | −0.161574 | + | 0.279854i | ||||
\(915\) | −12.0826 | − | 20.9276i | −0.399437 | − | 0.691845i | ||||
\(916\) | −4.52804 | − | 3.79948i | −0.149611 | − | 0.125538i | ||||
\(917\) | −30.0951 | + | 52.1263i | −0.993828 | + | 1.72136i | ||||
\(918\) | −2.60251 | − | 14.7596i | −0.0858956 | − | 0.487138i | ||||
\(919\) | 3.64798 | 0.120336 | 0.0601678 | − | 0.998188i | \(-0.480836\pi\) | ||||
0.0601678 | + | 0.998188i | \(0.480836\pi\) | |||||||
\(920\) | 0.210020 | + | 1.19108i | 0.00692414 | + | 0.0392687i | ||||
\(921\) | −11.5264 | + | 9.67181i | −0.379808 | + | 0.318697i | ||||
\(922\) | −14.5162 | − | 5.28346i | −0.478065 | − | 0.174001i | ||||
\(923\) | 16.4930 | − | 6.00296i | 0.542874 | − | 0.197590i | ||||
\(924\) | 17.7586 | 0.584216 | ||||||||
\(925\) | −0.766908 | + | 8.89596i | −0.0252158 | + | 0.292497i | ||||
\(926\) | 18.3049 | 0.601535 | ||||||||
\(927\) | −4.41677 | + | 1.60757i | −0.145066 | + | 0.0527996i | ||||
\(928\) | −2.03818 | − | 0.741837i | −0.0669066 | − | 0.0243520i | ||||
\(929\) | 40.7198 | − | 34.1679i | 1.33597 | − | 1.12101i | 0.353331 | − | 0.935498i | \(-0.385049\pi\) |
0.982641 | − | 0.185516i | \(-0.0593956\pi\) | |||||||
\(930\) | 5.92933 | + | 33.6269i | 0.194430 | + | 1.10267i | ||||
\(931\) | 36.3301 | 1.19067 | ||||||||
\(932\) | −4.92045 | − | 27.9053i | −0.161175 | − | 0.914067i | ||||
\(933\) | −9.95157 | + | 17.2366i | −0.325800 | + | 0.564302i | ||||
\(934\) | 18.0840 | + | 15.1743i | 0.591727 | + | 0.496518i | ||||
\(935\) | 8.18273 | + | 14.1729i | 0.267604 | + | 0.463504i | ||||
\(936\) | 0.630122 | − | 1.09140i | 0.0205962 | − | 0.0356736i | ||||
\(937\) | −0.433752 | + | 0.157873i | −0.0141701 | + | 0.00515748i | −0.349095 | − | 0.937087i | \(-0.613511\pi\) |
0.334925 | + | 0.942245i | \(0.391289\pi\) | |||||||
\(938\) | 0.557142 | − | 0.467498i | 0.0181913 | − | 0.0152643i | ||||
\(939\) | −7.93666 | − | 13.7467i | −0.259003 | − | 0.448607i | ||||
\(940\) | 2.56396 | − | 14.5409i | 0.0836271 | − | 0.474273i | ||||
\(941\) | 7.83670 | − | 44.4441i | 0.255469 | − | 1.44884i | −0.539396 | − | 0.842052i | \(-0.681347\pi\) |
0.794865 | − | 0.606786i | \(-0.207541\pi\) | |||||||
\(942\) | 12.3479 | + | 10.3611i | 0.402315 | + | 0.337582i | ||||
\(943\) | −6.42429 | − | 2.33825i | −0.209204 | − | 0.0761439i | ||||
\(944\) | −0.520064 | − | 0.189288i | −0.0169266 | − | 0.00616079i | ||||
\(945\) | −23.9949 | − | 20.1341i | −0.780554 | − | 0.654963i | ||||
\(946\) | −4.05178 | + | 22.9788i | −0.131735 | + | 0.747104i | ||||
\(947\) | −0.192264 | + | 1.09038i | −0.00624773 | + | 0.0354326i | −0.987772 | − | 0.155904i | \(-0.950171\pi\) |
0.981525 | + | 0.191336i | \(0.0612821\pi\) | |||||||
\(948\) | −1.74664 | − | 3.02526i | −0.0567281 | − | 0.0982560i | ||||
\(949\) | −27.1984 | + | 22.8222i | −0.882897 | + | 0.740839i | ||||
\(950\) | 10.2717 | − | 3.73858i | 0.333257 | − | 0.121296i | ||||
\(951\) | −23.3134 | + | 40.3799i | −0.755988 | + | 1.30941i | ||||
\(952\) | 5.34090 | + | 9.25071i | 0.173099 | + | 0.299817i | ||||
\(953\) | −3.46116 | − | 2.90426i | −0.112118 | − | 0.0940782i | 0.585005 | − | 0.811030i | \(-0.301092\pi\) |
−0.697123 | + | 0.716951i | \(0.745537\pi\) | |||||||
\(954\) | −0.877594 | + | 1.52004i | −0.0284132 | + | 0.0492130i | ||||
\(955\) | −0.0870451 | − | 0.493657i | −0.00281671 | − | 0.0159744i | ||||
\(956\) | 24.2381 | 0.783915 | ||||||||
\(957\) | 1.94067 | + | 11.0061i | 0.0627329 | + | 0.355776i | ||||
\(958\) | −6.65403 | + | 5.58340i | −0.214982 | + | 0.180391i | ||||
\(959\) | −31.9241 | − | 11.6194i | −1.03088 | − | 0.375210i | ||||
\(960\) | −3.23871 | + | 1.17879i | −0.104529 | + | 0.0380454i | ||||
\(961\) | 67.1519 | 2.16619 | ||||||||
\(962\) | 12.1312 | + | 17.2785i | 0.391127 | + | 0.557080i | ||||
\(963\) | 5.67399 | 0.182842 | ||||||||
\(964\) | −8.31692 | + | 3.02711i | −0.267870 | + | 0.0974967i | ||||
\(965\) | 14.0018 | + | 5.09624i | 0.450734 | + | 0.164054i | ||||
\(966\) | 3.11590 | − | 2.61455i | 0.100252 | − | 0.0841218i | ||||
\(967\) | −5.99944 | − | 34.0245i | −0.192929 | − | 1.09415i | −0.915338 | − | 0.402688i | \(-0.868076\pi\) |
0.722409 | − | 0.691466i | \(-0.243035\pi\) | |||||||
\(968\) | −3.10580 | −0.0998243 | ||||||||
\(969\) | 7.34944 | + | 41.6808i | 0.236098 | + | 1.33898i | ||||
\(970\) | 16.0310 | − | 27.7665i | 0.514723 | − | 0.891527i | ||||
\(971\) | −7.54292 | − | 6.32926i | −0.242064 | − | 0.203116i | 0.513682 | − | 0.857981i | \(-0.328281\pi\) |
−0.755746 | + | 0.654865i | \(0.772726\pi\) | |||||||
\(972\) | −1.87676 | − | 3.25064i | −0.0601970 | − | 0.104264i | ||||
\(973\) | 15.5007 | − | 26.8481i | 0.496931 | − | 0.860709i | ||||
\(974\) | −19.6724 | + | 7.16018i | −0.630345 | + | 0.229427i | ||||
\(975\) | −7.15731 | + | 6.00570i | −0.229218 | + | 0.192336i | ||||
\(976\) | −3.50569 | − | 6.07203i | −0.112214 | − | 0.194361i | ||||
\(977\) | 6.85364 | − | 38.8689i | 0.219267 | − | 1.24353i | −0.654079 | − | 0.756427i | \(-0.726943\pi\) |
0.873346 | − | 0.487100i | \(-0.161945\pi\) | |||||||
\(978\) | 0.607335 | − | 3.44437i | 0.0194204 | − | 0.110139i | ||||
\(979\) | 20.8512 | + | 17.4962i | 0.666406 | + | 0.559181i | ||||
\(980\) | 8.61613 | + | 3.13602i | 0.275232 | + | 0.100176i | ||||
\(981\) | −0.528904 | − | 0.192505i | −0.0168866 | − | 0.00614622i | ||||
\(982\) | 33.1016 | + | 27.7755i | 1.05631 | + | 0.886353i | ||||
\(983\) | 2.68903 | − | 15.2502i | 0.0857666 | − | 0.486407i | −0.911422 | − | 0.411473i | \(-0.865014\pi\) |
0.997189 | − | 0.0749336i | \(-0.0238745\pi\) | |||||||
\(984\) | 3.38303 | − | 19.1861i | 0.107847 | − | 0.611631i | ||||
\(985\) | −0.386805 | − | 0.669966i | −0.0123246 | − | 0.0213469i | ||||
\(986\) | −5.14955 | + | 4.32099i | −0.163995 | + | 0.137608i | ||||
\(987\) | −46.6624 | + | 16.9837i | −1.48528 | + | 0.540597i | ||||
\(988\) | 12.9227 | − | 22.3827i | 0.411125 | − | 0.712089i | ||||
\(989\) | 2.67218 | + | 4.62834i | 0.0849703 | + | 0.147173i | ||||
\(990\) | 1.46876 | + | 1.23244i | 0.0466804 | + | 0.0391695i | ||||
\(991\) | −2.60235 | + | 4.50740i | −0.0826663 | + | 0.143182i | −0.904394 | − | 0.426698i | \(-0.859677\pi\) |
0.821728 | + | 0.569880i | \(0.193010\pi\) | |||||||
\(992\) | 1.72036 | + | 9.75665i | 0.0546215 | + | 0.309774i | ||||
\(993\) | 38.1474 | 1.21057 | ||||||||
\(994\) | 3.02652 | + | 17.1643i | 0.0959954 | + | 0.544417i | ||||
\(995\) | 2.92982 | − | 2.45841i | 0.0928814 | − | 0.0779367i | ||||
\(996\) | 11.7350 | + | 4.27117i | 0.371836 | + | 0.135337i | ||||
\(997\) | −35.0496 | + | 12.7570i | −1.11003 | + | 0.404018i | −0.831005 | − | 0.556265i | \(-0.812234\pi\) |
−0.279026 | + | 0.960284i | \(0.590012\pi\) | |||||||
\(998\) | −6.76702 | −0.214206 | ||||||||
\(999\) | 29.2995 | − | 2.60089i | 0.926994 | − | 0.0822884i |
(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 | 74.2.f.b.7.2 | ✓ | 12 | |
3.2 | odd | 2 | 666.2.x.g.451.2 | 12 | |||
4.3 | odd | 2 | 592.2.bc.d.81.1 | 12 | |||
37.4 | even | 18 | 2738.2.a.q.1.2 | 6 | |||
37.16 | even | 9 | inner | 74.2.f.b.53.2 | yes | 12 | |
37.33 | even | 9 | 2738.2.a.t.1.2 | 6 | |||
111.53 | odd | 18 | 666.2.x.g.127.2 | 12 | |||
148.127 | odd | 18 | 592.2.bc.d.497.1 | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
74.2.f.b.7.2 | ✓ | 12 | 1.1 | even | 1 | trivial | |
74.2.f.b.53.2 | yes | 12 | 37.16 | even | 9 | inner | |
592.2.bc.d.81.1 | 12 | 4.3 | odd | 2 | |||
592.2.bc.d.497.1 | 12 | 148.127 | odd | 18 | |||
666.2.x.g.127.2 | 12 | 111.53 | odd | 18 | |||
666.2.x.g.451.2 | 12 | 3.2 | odd | 2 | |||
2738.2.a.q.1.2 | 6 | 37.4 | even | 18 | |||
2738.2.a.t.1.2 | 6 | 37.33 | even | 9 |