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 | 53.1 | ||
Root | \(2.00752 - 0.984808i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 74.53 |
Dual form | 74.2.f.b.7.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/74\mathbb{Z}\right)^\times\).
\(n\) | \(39\) |
\(\chi(n)\) | \(e\left(\frac{1}{9}\right)\) |
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 | ||||
\(3\) | −2.04963 | + | 0.746005i | −1.18336 | + | 0.430706i | −0.857386 | − | 0.514674i | \(-0.827913\pi\) |
−0.325970 | + | 0.945380i | \(0.605691\pi\) | |||||||
\(4\) | 0.766044 | + | 0.642788i | 0.383022 | + | 0.321394i | ||||
\(5\) | −0.326352 | + | 1.85083i | −0.145949 | + | 0.827718i | 0.820651 | + | 0.571429i | \(0.193611\pi\) |
−0.966600 | + | 0.256289i | \(0.917500\pi\) | |||||||
\(6\) | 2.18117 | 0.890460 | ||||||||
\(7\) | −0.711830 | + | 4.03699i | −0.269046 | + | 1.52584i | 0.488214 | + | 0.872724i | \(0.337649\pi\) |
−0.757260 | + | 0.653113i | \(0.773463\pi\) | |||||||
\(8\) | −0.500000 | − | 0.866025i | −0.176777 | − | 0.306186i | ||||
\(9\) | 1.34633 | − | 1.12971i | 0.448778 | − | 0.376569i | ||||
\(10\) | 0.939693 | − | 1.62760i | 0.297157 | − | 0.514691i | ||||
\(11\) | −1.67088 | − | 2.89404i | −0.503788 | − | 0.872586i | −0.999990 | − | 0.00437929i | \(-0.998606\pi\) |
0.496203 | − | 0.868207i | \(-0.334727\pi\) | |||||||
\(12\) | −2.04963 | − | 0.746005i | −0.591678 | − | 0.215353i | ||||
\(13\) | 1.48512 | + | 1.24616i | 0.411898 | + | 0.345623i | 0.825071 | − | 0.565029i | \(-0.191135\pi\) |
−0.413173 | + | 0.910653i | \(0.635580\pi\) | |||||||
\(14\) | 2.04963 | − | 3.55007i | 0.547787 | − | 0.948795i | ||||
\(15\) | −0.711830 | − | 4.03699i | −0.183794 | − | 1.04235i | ||||
\(16\) | 0.173648 | + | 0.984808i | 0.0434120 | + | 0.246202i | ||||
\(17\) | 3.40626 | − | 2.85819i | 0.826140 | − | 0.693214i | −0.128261 | − | 0.991740i | \(-0.540940\pi\) |
0.954401 | + | 0.298527i | \(0.0964952\pi\) | |||||||
\(18\) | −1.65152 | + | 0.601105i | −0.389268 | + | 0.141682i | ||||
\(19\) | 0.0932770 | − | 0.0339500i | 0.0213992 | − | 0.00778868i | −0.331298 | − | 0.943526i | \(-0.607487\pi\) |
0.352698 | + | 0.935737i | \(0.385264\pi\) | |||||||
\(20\) | −1.43969 | + | 1.20805i | −0.321925 | + | 0.270127i | ||||
\(21\) | −1.55262 | − | 8.80536i | −0.338810 | − | 1.92149i | ||||
\(22\) | 0.580289 | + | 3.29098i | 0.123718 | + | 0.701640i | ||||
\(23\) | −4.76146 | + | 8.24709i | −0.992833 | + | 1.71964i | −0.392920 | + | 0.919573i | \(0.628535\pi\) |
−0.599913 | + | 0.800065i | \(0.704798\pi\) | |||||||
\(24\) | 1.67088 | + | 1.40203i | 0.341066 | + | 0.286188i | ||||
\(25\) | 1.37939 | + | 0.502055i | 0.275877 | + | 0.100411i | ||||
\(26\) | −0.969343 | − | 1.67895i | −0.190104 | − | 0.329269i | ||||
\(27\) | 1.35504 | − | 2.34700i | 0.260777 | − | 0.451680i | ||||
\(28\) | −3.14022 | + | 2.63496i | −0.593445 | + | 0.497960i | ||||
\(29\) | −0.387288 | − | 0.670802i | −0.0719175 | − | 0.124565i | 0.827824 | − | 0.560988i | \(-0.189579\pi\) |
−0.899742 | + | 0.436423i | \(0.856245\pi\) | |||||||
\(30\) | −0.711830 | + | 4.03699i | −0.129962 | + | 0.737049i | ||||
\(31\) | 10.3914 | 1.86636 | 0.933179 | − | 0.359413i | \(-0.117023\pi\) | ||||
0.933179 | + | 0.359413i | \(0.117023\pi\) | |||||||
\(32\) | 0.173648 | − | 0.984808i | 0.0306970 | − | 0.174091i | ||||
\(33\) | 5.58365 | + | 4.68524i | 0.971988 | + | 0.815595i | ||||
\(34\) | −4.17840 | + | 1.52081i | −0.716590 | + | 0.260817i | ||||
\(35\) | −7.23948 | − | 2.63496i | −1.22370 | − | 0.445389i | ||||
\(36\) | 1.75751 | 0.292919 | ||||||||
\(37\) | −3.50302 | + | 4.97281i | −0.575894 | + | 0.817525i | ||||
\(38\) | −0.0992633 | −0.0161026 | ||||||||
\(39\) | −3.97359 | − | 1.44627i | −0.636284 | − | 0.231588i | ||||
\(40\) | 1.76604 | − | 0.642788i | 0.279236 | − | 0.101634i | ||||
\(41\) | 4.36218 | + | 3.66031i | 0.681259 | + | 0.571644i | 0.916374 | − | 0.400324i | \(-0.131102\pi\) |
−0.235115 | + | 0.971968i | \(0.575547\pi\) | |||||||
\(42\) | −1.55262 | + | 8.80536i | −0.239575 | + | 1.35870i | ||||
\(43\) | −1.11986 | −0.170777 | −0.0853884 | − | 0.996348i | \(-0.527213\pi\) | ||||
−0.0853884 | + | 0.996348i | \(0.527213\pi\) | |||||||
\(44\) | 0.580289 | − | 3.29098i | 0.0874818 | − | 0.496134i | ||||
\(45\) | 1.65152 | + | 2.86052i | 0.246194 | + | 0.426421i | ||||
\(46\) | 7.29498 | − | 6.12122i | 1.07559 | − | 0.902524i | ||||
\(47\) | 3.55724 | − | 6.16132i | 0.518877 | − | 0.898721i | −0.480883 | − | 0.876785i | \(-0.659684\pi\) |
0.999759 | − | 0.0219357i | \(-0.00698290\pi\) | |||||||
\(48\) | −1.09059 | − | 1.88895i | −0.157413 | − | 0.272647i | ||||
\(49\) | −9.21271 | − | 3.35315i | −1.31610 | − | 0.479022i | ||||
\(50\) | −1.12449 | − | 0.943555i | −0.159026 | − | 0.133439i | ||||
\(51\) | −4.84936 | + | 8.39933i | −0.679046 | + | 1.17614i | ||||
\(52\) | 0.336649 | + | 1.90923i | 0.0466848 | + | 0.264763i | ||||
\(53\) | 0.142188 | + | 0.806388i | 0.0195310 | + | 0.110766i | 0.993015 | − | 0.117990i | \(-0.0376452\pi\) |
−0.973484 | + | 0.228756i | \(0.926534\pi\) | |||||||
\(54\) | −2.07604 | + | 1.74200i | −0.282513 | + | 0.237057i | ||||
\(55\) | 5.90168 | − | 2.14804i | 0.795782 | − | 0.289641i | ||||
\(56\) | 3.85205 | − | 1.40203i | 0.514751 | − | 0.187354i | ||||
\(57\) | −0.165857 | + | 0.139170i | −0.0219682 | + | 0.0184335i | ||||
\(58\) | 0.134504 | + | 0.762808i | 0.0176612 | + | 0.100162i | ||||
\(59\) | 1.40642 | + | 7.97622i | 0.183101 | + | 1.03842i | 0.928372 | + | 0.371653i | \(0.121209\pi\) |
−0.745271 | + | 0.666762i | \(0.767680\pi\) | |||||||
\(60\) | 2.04963 | − | 3.55007i | 0.264606 | − | 0.458312i | ||||
\(61\) | −8.19737 | − | 6.87841i | −1.04957 | − | 0.880691i | −0.0565183 | − | 0.998402i | \(-0.518000\pi\) |
−0.993048 | + | 0.117711i | \(0.962444\pi\) | |||||||
\(62\) | −9.76476 | − | 3.55408i | −1.24013 | − | 0.451369i | ||||
\(63\) | 3.60225 | + | 6.23929i | 0.453841 | + | 0.786076i | ||||
\(64\) | −0.500000 | + | 0.866025i | −0.0625000 | + | 0.108253i | ||||
\(65\) | −2.79111 | + | 2.34202i | −0.346195 | + | 0.290492i | ||||
\(66\) | −3.64447 | − | 6.31240i | −0.448603 | − | 0.777003i | ||||
\(67\) | 2.28630 | − | 12.9663i | 0.279317 | − | 1.58408i | −0.445591 | − | 0.895237i | \(-0.647006\pi\) |
0.724907 | − | 0.688846i | \(-0.241883\pi\) | |||||||
\(68\) | 4.44656 | 0.539225 | ||||||||
\(69\) | 3.60687 | − | 20.4556i | 0.434216 | − | 2.46256i | ||||
\(70\) | 5.90168 | + | 4.95210i | 0.705386 | + | 0.591889i | ||||
\(71\) | 2.79386 | − | 1.01688i | 0.331570 | − | 0.120682i | −0.170870 | − | 0.985294i | \(-0.554658\pi\) |
0.502440 | + | 0.864612i | \(0.332436\pi\) | |||||||
\(72\) | −1.65152 | − | 0.601105i | −0.194634 | − | 0.0708409i | ||||
\(73\) | −2.55740 | −0.299321 | −0.149660 | − | 0.988737i | \(-0.547818\pi\) | ||||
−0.149660 | + | 0.988737i | \(0.547818\pi\) | |||||||
\(74\) | 4.99257 | − | 3.47481i | 0.580374 | − | 0.403938i | ||||
\(75\) | −3.20177 | −0.369708 | ||||||||
\(76\) | 0.0932770 | + | 0.0339500i | 0.0106996 | + | 0.00389434i | ||||
\(77\) | 12.8726 | − | 4.68524i | 1.46697 | − | 0.533932i | ||||
\(78\) | 3.23930 | + | 2.71810i | 0.366779 | + | 0.307764i | ||||
\(79\) | −0.943888 | + | 5.35305i | −0.106196 | + | 0.602265i | 0.884540 | + | 0.466464i | \(0.154472\pi\) |
−0.990736 | + | 0.135802i | \(0.956639\pi\) | |||||||
\(80\) | −1.87939 | −0.210122 | ||||||||
\(81\) | −1.94203 | + | 11.0138i | −0.215781 | + | 1.22375i | ||||
\(82\) | −2.84721 | − | 4.93152i | −0.314422 | − | 0.544595i | ||||
\(83\) | 0.504249 | − | 0.423115i | 0.0553485 | − | 0.0464429i | −0.614694 | − | 0.788766i | \(-0.710720\pi\) |
0.670042 | + | 0.742323i | \(0.266276\pi\) | |||||||
\(84\) | 4.47060 | − | 7.74331i | 0.487782 | − | 0.844864i | ||||
\(85\) | 4.17840 | + | 7.23720i | 0.453211 | + | 0.784985i | ||||
\(86\) | 1.05232 | + | 0.383014i | 0.113475 | + | 0.0413015i | ||||
\(87\) | 1.29422 | + | 1.08598i | 0.138755 | + | 0.116429i | ||||
\(88\) | −1.67088 | + | 2.89404i | −0.178116 | + | 0.308506i | ||||
\(89\) | 0.612149 | + | 3.47167i | 0.0648877 | + | 0.367996i | 0.999910 | + | 0.0134078i | \(0.00426798\pi\) |
−0.935022 | + | 0.354589i | \(0.884621\pi\) | |||||||
\(90\) | −0.573568 | − | 3.25286i | −0.0604593 | − | 0.342882i | ||||
\(91\) | −6.08790 | + | 5.10835i | −0.638185 | + | 0.535501i | ||||
\(92\) | −8.94862 | + | 3.25703i | −0.932958 | + | 0.339569i | ||||
\(93\) | −21.2986 | + | 7.75206i | −2.20856 | + | 0.803852i | ||||
\(94\) | −5.45001 | + | 4.57310i | −0.562125 | + | 0.471679i | ||||
\(95\) | 0.0323948 | + | 0.183720i | 0.00332363 | + | 0.0188493i | ||||
\(96\) | 0.378757 | + | 2.14804i | 0.0386567 | + | 0.219233i | ||||
\(97\) | −1.81012 | + | 3.13522i | −0.183790 | + | 0.318334i | −0.943168 | − | 0.332316i | \(-0.892170\pi\) |
0.759378 | + | 0.650650i | \(0.225503\pi\) | |||||||
\(98\) | 7.51027 | + | 6.30186i | 0.758652 | + | 0.636584i | ||||
\(99\) | −5.51897 | − | 2.00874i | −0.554678 | − | 0.201886i | ||||
\(100\) | 0.733956 | + | 1.27125i | 0.0733956 | + | 0.127125i | ||||
\(101\) | −1.97406 | + | 3.41917i | −0.196426 | + | 0.340220i | −0.947367 | − | 0.320149i | \(-0.896267\pi\) |
0.750941 | + | 0.660369i | \(0.229600\pi\) | |||||||
\(102\) | 7.42965 | − | 6.23421i | 0.735645 | − | 0.617279i | ||||
\(103\) | 0.989402 | + | 1.71369i | 0.0974887 | + | 0.168855i | 0.910645 | − | 0.413191i | \(-0.135586\pi\) |
−0.813156 | + | 0.582046i | \(0.802252\pi\) | |||||||
\(104\) | 0.336649 | − | 1.90923i | 0.0330112 | − | 0.187216i | ||||
\(105\) | 16.8040 | 1.63990 | ||||||||
\(106\) | 0.142188 | − | 0.806388i | 0.0138105 | − | 0.0783233i | ||||
\(107\) | 6.31896 | + | 5.30224i | 0.610877 | + | 0.512587i | 0.894921 | − | 0.446225i | \(-0.147232\pi\) |
−0.284044 | + | 0.958811i | \(0.591676\pi\) | |||||||
\(108\) | 2.54664 | − | 0.926901i | 0.245051 | − | 0.0891911i | ||||
\(109\) | 8.25476 | + | 3.00449i | 0.790663 | + | 0.287778i | 0.705612 | − | 0.708599i | \(-0.250672\pi\) |
0.0850513 | + | 0.996377i | \(0.472895\pi\) | |||||||
\(110\) | −6.28044 | −0.598816 | ||||||||
\(111\) | 3.47017 | − | 12.8057i | 0.329374 | − | 1.21546i | ||||
\(112\) | −4.09926 | −0.387344 | ||||||||
\(113\) | −9.37522 | − | 3.41230i | −0.881946 | − | 0.321002i | −0.138951 | − | 0.990299i | \(-0.544373\pi\) |
−0.742995 | + | 0.669297i | \(0.766595\pi\) | |||||||
\(114\) | 0.203453 | − | 0.0740509i | 0.0190551 | − | 0.00693550i | ||||
\(115\) | −13.7101 | − | 11.5041i | −1.27847 | − | 1.07277i | ||||
\(116\) | 0.134504 | − | 0.762808i | 0.0124884 | − | 0.0708250i | ||||
\(117\) | 3.40727 | 0.315002 | ||||||||
\(118\) | 1.40642 | − | 7.97622i | 0.129472 | − | 0.734270i | ||||
\(119\) | 9.11381 | + | 15.7856i | 0.835462 | + | 1.44706i | ||||
\(120\) | −3.14022 | + | 2.63496i | −0.286661 | + | 0.240537i | ||||
\(121\) | −0.0836467 | + | 0.144880i | −0.00760425 | + | 0.0131709i | ||||
\(122\) | 5.35046 | + | 9.26726i | 0.484408 | + | 0.839018i | ||||
\(123\) | −11.6715 | − | 4.24807i | −1.05238 | − | 0.383036i | ||||
\(124\) | 7.96030 | + | 6.67949i | 0.714856 | + | 0.599836i | ||||
\(125\) | −6.07785 | + | 10.5271i | −0.543619 | + | 0.941576i | ||||
\(126\) | −1.25105 | − | 7.09506i | −0.111452 | − | 0.632078i | ||||
\(127\) | −2.91336 | − | 16.5225i | −0.258519 | − | 1.46613i | −0.786876 | − | 0.617112i | \(-0.788303\pi\) |
0.528356 | − | 0.849023i | \(-0.322808\pi\) | |||||||
\(128\) | 0.766044 | − | 0.642788i | 0.0677094 | − | 0.0568149i | ||||
\(129\) | 2.29530 | − | 0.835420i | 0.202090 | − | 0.0735546i | ||||
\(130\) | 3.42381 | − | 1.24616i | 0.300288 | − | 0.109296i | ||||
\(131\) | 1.07527 | − | 0.902259i | 0.0939468 | − | 0.0788307i | −0.594605 | − | 0.804018i | \(-0.702691\pi\) |
0.688551 | + | 0.725188i | \(0.258247\pi\) | |||||||
\(132\) | 1.26571 | + | 7.17820i | 0.110166 | + | 0.624782i | ||||
\(133\) | 0.0706586 | + | 0.400725i | 0.00612687 | + | 0.0347472i | ||||
\(134\) | −6.58315 | + | 11.4024i | −0.568698 | + | 0.985013i | ||||
\(135\) | 3.90168 | + | 3.27390i | 0.335803 | + | 0.281772i | ||||
\(136\) | −4.17840 | − | 1.52081i | −0.358295 | − | 0.130409i | ||||
\(137\) | −6.20963 | − | 10.7554i | −0.530525 | − | 0.918896i | −0.999366 | − | 0.0356133i | \(-0.988662\pi\) |
0.468841 | − | 0.883283i | \(-0.344672\pi\) | |||||||
\(138\) | −10.3856 | + | 17.9883i | −0.884078 | + | 1.53127i | ||||
\(139\) | 14.0949 | − | 11.8270i | 1.19551 | − | 1.00315i | 0.195766 | − | 0.980651i | \(-0.437281\pi\) |
0.999747 | − | 0.0225036i | \(-0.00716372\pi\) | |||||||
\(140\) | −3.85205 | − | 6.67194i | −0.325557 | − | 0.563882i | ||||
\(141\) | −2.69466 | + | 15.2821i | −0.226931 | + | 1.28699i | ||||
\(142\) | −2.97316 | −0.249502 | ||||||||
\(143\) | 1.12500 | − | 6.38018i | 0.0940770 | − | 0.533537i | ||||
\(144\) | 1.34633 | + | 1.12971i | 0.112194 | + | 0.0941423i | ||||
\(145\) | 1.36794 | − | 0.497888i | 0.113601 | − | 0.0413473i | ||||
\(146\) | 2.40317 | + | 0.874681i | 0.198887 | + | 0.0723891i | ||||
\(147\) | 21.3841 | 1.76373 | ||||||||
\(148\) | −5.87993 | + | 1.55769i | −0.483327 | + | 0.128042i | ||||
\(149\) | 12.4068 | 1.01640 | 0.508201 | − | 0.861238i | \(-0.330311\pi\) | ||||
0.508201 | + | 0.861238i | \(0.330311\pi\) | |||||||
\(150\) | 3.00868 | + | 1.09507i | 0.245657 | + | 0.0894120i | ||||
\(151\) | 11.7921 | − | 4.29198i | 0.959628 | − | 0.349276i | 0.185740 | − | 0.982599i | \(-0.440532\pi\) |
0.773888 | + | 0.633323i | \(0.218309\pi\) | |||||||
\(152\) | −0.0760401 | − | 0.0638052i | −0.00616767 | − | 0.00517529i | ||||
\(153\) | 1.35704 | − | 7.69616i | 0.109710 | − | 0.622198i | ||||
\(154\) | −13.6987 | −1.10387 | ||||||||
\(155\) | −3.39126 | + | 19.2328i | −0.272393 | + | 1.54482i | ||||
\(156\) | −2.11430 | − | 3.66208i | −0.169280 | − | 0.293201i | ||||
\(157\) | 2.69131 | − | 2.25828i | 0.214790 | − | 0.180230i | −0.529045 | − | 0.848594i | \(-0.677450\pi\) |
0.743834 | + | 0.668364i | \(0.233005\pi\) | |||||||
\(158\) | 2.71782 | − | 4.70740i | 0.216218 | − | 0.374500i | ||||
\(159\) | −0.893002 | − | 1.54672i | −0.0708197 | − | 0.122663i | ||||
\(160\) | 1.76604 | + | 0.642788i | 0.139618 | + | 0.0508168i | ||||
\(161\) | −29.9041 | − | 25.0925i | −2.35677 | − | 1.97756i | ||||
\(162\) | 5.59184 | − | 9.68536i | 0.439337 | − | 0.760954i | ||||
\(163\) | −0.415269 | − | 2.35511i | −0.0325264 | − | 0.184466i | 0.964216 | − | 0.265118i | \(-0.0854109\pi\) |
−0.996742 | + | 0.0806519i | \(0.974300\pi\) | |||||||
\(164\) | 0.988827 | + | 5.60792i | 0.0772144 | + | 0.437905i | ||||
\(165\) | −10.4938 | + | 8.80536i | −0.816943 | + | 0.685497i | ||||
\(166\) | −0.618553 | + | 0.225135i | −0.0480090 | + | 0.0174738i | ||||
\(167\) | 14.6442 | − | 5.33004i | 1.13320 | − | 0.412451i | 0.293746 | − | 0.955884i | \(-0.405098\pi\) |
0.839453 | + | 0.543433i | \(0.182876\pi\) | |||||||
\(168\) | −6.84936 | + | 5.74729i | −0.528439 | + | 0.443413i | ||||
\(169\) | −1.60477 | − | 9.10110i | −0.123444 | − | 0.700085i | ||||
\(170\) | −1.45114 | − | 8.22984i | −0.111298 | − | 0.631200i | ||||
\(171\) | 0.0872283 | − | 0.151084i | 0.00667051 | − | 0.0115537i | ||||
\(172\) | −0.857861 | − | 0.719831i | −0.0654113 | − | 0.0548866i | ||||
\(173\) | 16.7991 | + | 6.11436i | 1.27721 | + | 0.464866i | 0.889508 | − | 0.456919i | \(-0.151047\pi\) |
0.387701 | + | 0.921785i | \(0.373269\pi\) | |||||||
\(174\) | −0.844742 | − | 1.46314i | −0.0640397 | − | 0.110920i | ||||
\(175\) | −3.00868 | + | 5.21118i | −0.227435 | + | 0.393928i | ||||
\(176\) | 2.55993 | − | 2.14804i | 0.192962 | − | 0.161914i | ||||
\(177\) | −8.83294 | − | 15.2991i | −0.663925 | − | 1.14995i | ||||
\(178\) | 0.612149 | − | 3.47167i | 0.0458825 | − | 0.260213i | ||||
\(179\) | −20.4063 | −1.52524 | −0.762619 | − | 0.646848i | \(-0.776087\pi\) | ||||
−0.762619 | + | 0.646848i | \(0.776087\pi\) | |||||||
\(180\) | −0.573568 | + | 3.25286i | −0.0427512 | + | 0.242454i | ||||
\(181\) | −14.0006 | − | 11.7479i | −1.04065 | − | 0.873212i | −0.0485737 | − | 0.998820i | \(-0.515468\pi\) |
−0.992080 | + | 0.125607i | \(0.959912\pi\) | |||||||
\(182\) | 7.46791 | − | 2.71810i | 0.553558 | − | 0.201479i | ||||
\(183\) | 21.9329 | + | 7.98293i | 1.62133 | + | 0.590115i | ||||
\(184\) | 9.52292 | 0.702039 | ||||||||
\(185\) | −8.06062 | − | 8.10640i | −0.592629 | − | 0.595994i | ||||
\(186\) | 22.6655 | 1.66192 | ||||||||
\(187\) | −13.9632 | − | 5.08218i | −1.02109 | − | 0.371646i | ||||
\(188\) | 6.68542 | − | 2.43329i | 0.487584 | − | 0.177466i | ||||
\(189\) | 8.51024 | + | 7.14094i | 0.619029 | + | 0.519427i | ||||
\(190\) | 0.0323948 | − | 0.183720i | 0.00235016 | − | 0.0133284i | ||||
\(191\) | 5.76567 | 0.417189 | 0.208595 | − | 0.978002i | \(-0.433111\pi\) | ||||
0.208595 | + | 0.978002i | \(0.433111\pi\) | |||||||
\(192\) | 0.378757 | − | 2.14804i | 0.0273344 | − | 0.155021i | ||||
\(193\) | 0.179712 | + | 0.311271i | 0.0129360 | + | 0.0224057i | 0.872421 | − | 0.488755i | \(-0.162549\pi\) |
−0.859485 | + | 0.511161i | \(0.829216\pi\) | |||||||
\(194\) | 2.77327 | − | 2.32705i | 0.199109 | − | 0.167072i | ||||
\(195\) | 3.97359 | − | 6.88246i | 0.284555 | − | 0.492863i | ||||
\(196\) | −4.90198 | − | 8.49048i | −0.350141 | − | 0.606463i | ||||
\(197\) | −6.54591 | − | 2.38251i | −0.466376 | − | 0.169747i | 0.0981338 | − | 0.995173i | \(-0.468713\pi\) |
−0.564510 | + | 0.825426i | \(0.690935\pi\) | |||||||
\(198\) | 4.49911 | + | 3.77520i | 0.319738 | + | 0.268292i | ||||
\(199\) | −5.58897 | + | 9.68037i | −0.396191 | + | 0.686223i | −0.993252 | − | 0.115972i | \(-0.963002\pi\) |
0.597061 | + | 0.802196i | \(0.296335\pi\) | |||||||
\(200\) | −0.254900 | − | 1.44561i | −0.0180242 | − | 0.102220i | ||||
\(201\) | 4.98683 | + | 28.2817i | 0.351744 | + | 1.99484i | ||||
\(202\) | 3.02443 | − | 2.53780i | 0.212798 | − | 0.178559i | ||||
\(203\) | 2.98370 | − | 1.08598i | 0.209415 | − | 0.0762208i | ||||
\(204\) | −9.11381 | + | 3.31716i | −0.638094 | + | 0.232247i | ||||
\(205\) | −8.19823 | + | 6.87913i | −0.572589 | + | 0.480459i | ||||
\(206\) | −0.343616 | − | 1.94874i | −0.0239408 | − | 0.135775i | ||||
\(207\) | 2.90629 | + | 16.4824i | 0.202001 | + | 1.14561i | ||||
\(208\) | −0.969343 | + | 1.67895i | −0.0672118 | + | 0.116414i | ||||
\(209\) | −0.254107 | − | 0.213221i | −0.0175770 | − | 0.0147488i | ||||
\(210\) | −15.7906 | − | 5.74729i | −1.08965 | − | 0.396601i | ||||
\(211\) | 6.10513 | + | 10.5744i | 0.420295 | + | 0.727972i | 0.995968 | − | 0.0897080i | \(-0.0285934\pi\) |
−0.575673 | + | 0.817680i | \(0.695260\pi\) | |||||||
\(212\) | −0.409414 | + | 0.709125i | −0.0281187 | + | 0.0487029i | ||||
\(213\) | −4.96778 | + | 4.16846i | −0.340387 | + | 0.285618i | ||||
\(214\) | −4.12441 | − | 7.14368i | −0.281939 | − | 0.488332i | ||||
\(215\) | 0.365468 | − | 2.07267i | 0.0249247 | − | 0.141355i | ||||
\(216\) | −2.71008 | −0.184397 | ||||||||
\(217\) | −7.39693 | + | 41.9501i | −0.502137 | + | 2.84776i | ||||
\(218\) | −6.72934 | − | 5.64659i | −0.455769 | − | 0.382435i | ||||
\(219\) | 5.24172 | − | 1.90783i | 0.354203 | − | 0.128919i | ||||
\(220\) | 5.90168 | + | 2.14804i | 0.397891 | + | 0.144821i | ||||
\(221\) | 8.62048 | 0.579876 | ||||||||
\(222\) | −7.64070 | + | 10.8466i | −0.512810 | + | 0.727973i | ||||
\(223\) | −10.7545 | −0.720177 | −0.360088 | − | 0.932918i | \(-0.617253\pi\) | ||||
−0.360088 | + | 0.932918i | \(0.617253\pi\) | |||||||
\(224\) | 3.85205 | + | 1.40203i | 0.257376 | + | 0.0936771i | ||||
\(225\) | 2.42429 | − | 0.882369i | 0.161619 | − | 0.0588246i | ||||
\(226\) | 7.64275 | + | 6.41303i | 0.508388 | + | 0.426588i | ||||
\(227\) | −0.514913 | + | 2.92021i | −0.0341759 | + | 0.193821i | −0.997116 | − | 0.0758946i | \(-0.975819\pi\) |
0.962940 | + | 0.269716i | \(0.0869298\pi\) | |||||||
\(228\) | −0.216510 | −0.0143388 | ||||||||
\(229\) | −0.526610 | + | 2.98655i | −0.0347994 | + | 0.197357i | −0.997251 | − | 0.0740958i | \(-0.976393\pi\) |
0.962452 | + | 0.271453i | \(0.0875041\pi\) | |||||||
\(230\) | 8.94862 | + | 15.4995i | 0.590055 | + | 1.02200i | ||||
\(231\) | −22.8888 | + | 19.2060i | −1.50597 | + | 1.26366i | ||||
\(232\) | −0.387288 | + | 0.670802i | −0.0254267 | + | 0.0440403i | ||||
\(233\) | 0.144403 | + | 0.250113i | 0.00946016 | + | 0.0163855i | 0.870717 | − | 0.491785i | \(-0.163655\pi\) |
−0.861257 | + | 0.508170i | \(0.830322\pi\) | |||||||
\(234\) | −3.20178 | − | 1.16535i | −0.209307 | − | 0.0761815i | ||||
\(235\) | 10.2427 | + | 8.59461i | 0.668157 | + | 0.560651i | ||||
\(236\) | −4.04963 | + | 7.01417i | −0.263609 | + | 0.456583i | ||||
\(237\) | −2.05878 | − | 11.6759i | −0.133732 | − | 0.758433i | ||||
\(238\) | −3.16519 | − | 17.9507i | −0.205169 | − | 1.16357i | ||||
\(239\) | −3.85711 | + | 3.23650i | −0.249496 | + | 0.209352i | −0.758955 | − | 0.651143i | \(-0.774290\pi\) |
0.509460 | + | 0.860495i | \(0.329845\pi\) | |||||||
\(240\) | 3.85205 | − | 1.40203i | 0.248649 | − | 0.0905007i | ||||
\(241\) | 16.3281 | − | 5.94293i | 1.05178 | − | 0.382818i | 0.242448 | − | 0.970164i | \(-0.422050\pi\) |
0.809336 | + | 0.587347i | \(0.199827\pi\) | |||||||
\(242\) | 0.128154 | − | 0.107534i | 0.00823807 | − | 0.00691256i | ||||
\(243\) | −2.82410 | − | 16.0162i | −0.181166 | − | 1.02744i | ||||
\(244\) | −1.85819 | − | 10.5383i | −0.118959 | − | 0.674648i | ||||
\(245\) | 9.21271 | − | 15.9569i | 0.588578 | − | 1.01945i | ||||
\(246\) | 9.51468 | + | 7.98376i | 0.606634 | + | 0.509026i | ||||
\(247\) | 0.180835 | + | 0.0658185i | 0.0115062 | + | 0.00418793i | ||||
\(248\) | −5.19572 | − | 8.99925i | −0.329928 | − | 0.571453i | ||||
\(249\) | −0.717878 | + | 1.24340i | −0.0454937 | + | 0.0787974i | ||||
\(250\) | 9.31180 | − | 7.81353i | 0.588930 | − | 0.494171i | ||||
\(251\) | 0.877844 | + | 1.52047i | 0.0554090 | + | 0.0959713i | 0.892399 | − | 0.451246i | \(-0.149020\pi\) |
−0.836990 | + | 0.547218i | \(0.815687\pi\) | |||||||
\(252\) | −1.25105 | + | 7.09506i | −0.0788087 | + | 0.446947i | ||||
\(253\) | 31.8232 | 2.00071 | ||||||||
\(254\) | −2.91336 | + | 16.5225i | −0.182801 | + | 1.03671i | ||||
\(255\) | −13.9632 | − | 11.7165i | −0.874407 | − | 0.733715i | ||||
\(256\) | −0.939693 | + | 0.342020i | −0.0587308 | + | 0.0213763i | ||||
\(257\) | 11.9849 | + | 4.36215i | 0.747598 | + | 0.272103i | 0.687595 | − | 0.726095i | \(-0.258667\pi\) |
0.0600034 | + | 0.998198i | \(0.480889\pi\) | |||||||
\(258\) | −2.44260 | −0.152070 | ||||||||
\(259\) | −17.5816 | − | 17.6815i | −1.09247 | − | 1.09867i | ||||
\(260\) | −3.64354 | −0.225963 | ||||||||
\(261\) | −1.27923 | − | 0.465601i | −0.0791823 | − | 0.0288200i | ||||
\(262\) | −1.31901 | + | 0.480082i | −0.0814890 | + | 0.0296596i | ||||
\(263\) | −20.1968 | − | 16.9472i | −1.24539 | − | 1.04501i | −0.997083 | − | 0.0763250i | \(-0.975681\pi\) |
−0.248307 | − | 0.968681i | \(-0.579874\pi\) | |||||||
\(264\) | 1.26571 | − | 7.17820i | 0.0778991 | − | 0.441788i | ||||
\(265\) | −1.53889 | −0.0945334 | ||||||||
\(266\) | 0.0706586 | − | 0.400725i | 0.00433235 | − | 0.0245700i | ||||
\(267\) | −3.84457 | − | 6.65898i | −0.235284 | − | 0.407523i | ||||
\(268\) | 10.0860 | − | 8.46314i | 0.616099 | − | 0.516968i | ||||
\(269\) | −6.80289 | + | 11.7829i | −0.414779 | + | 0.718419i | −0.995405 | − | 0.0957514i | \(-0.969475\pi\) |
0.580626 | + | 0.814171i | \(0.302808\pi\) | |||||||
\(270\) | −2.54664 | − | 4.41091i | −0.154984 | − | 0.268439i | ||||
\(271\) | 4.05562 | + | 1.47612i | 0.246361 | + | 0.0896682i | 0.462249 | − | 0.886750i | \(-0.347042\pi\) |
−0.215888 | + | 0.976418i | \(0.569265\pi\) | |||||||
\(272\) | 3.40626 | + | 2.85819i | 0.206535 | + | 0.173303i | ||||
\(273\) | 8.66709 | − | 15.0118i | 0.524556 | − | 0.908558i | ||||
\(274\) | 2.15658 | + | 12.2306i | 0.130284 | + | 0.738877i | ||||
\(275\) | −0.851812 | − | 4.83087i | −0.0513662 | − | 0.291312i | ||||
\(276\) | 15.9116 | − | 13.3514i | 0.957767 | − | 0.803662i | ||||
\(277\) | 3.28276 | − | 1.19483i | 0.197242 | − | 0.0717902i | −0.241510 | − | 0.970398i | \(-0.577643\pi\) |
0.438752 | + | 0.898608i | \(0.355421\pi\) | |||||||
\(278\) | −17.2899 | + | 6.29302i | −1.03698 | + | 0.377430i | ||||
\(279\) | 13.9903 | − | 11.7393i | 0.837580 | − | 0.702813i | ||||
\(280\) | 1.33780 | + | 7.58705i | 0.0799490 | + | 0.453413i | ||||
\(281\) | −1.27419 | − | 7.22628i | −0.0760116 | − | 0.431083i | −0.998937 | − | 0.0461037i | \(-0.985320\pi\) |
0.922925 | − | 0.384980i | \(-0.125792\pi\) | |||||||
\(282\) | 7.75895 | − | 13.4389i | 0.462039 | − | 0.800275i | ||||
\(283\) | 10.7268 | + | 9.00087i | 0.637643 | + | 0.535046i | 0.903294 | − | 0.429023i | \(-0.141142\pi\) |
−0.265650 | + | 0.964070i | \(0.585587\pi\) | |||||||
\(284\) | 2.79386 | + | 1.01688i | 0.165785 | + | 0.0603408i | ||||
\(285\) | −0.203453 | − | 0.352391i | −0.0120515 | − | 0.0208739i | ||||
\(286\) | −3.23930 | + | 5.61063i | −0.191544 | + | 0.331764i | ||||
\(287\) | −17.8817 | + | 15.0046i | −1.05553 | + | 0.885691i | ||||
\(288\) | −0.878757 | − | 1.52205i | −0.0517812 | − | 0.0896877i | ||||
\(289\) | 0.481334 | − | 2.72978i | 0.0283138 | − | 0.160575i | ||||
\(290\) | −1.45573 | −0.0854832 | ||||||||
\(291\) | 1.37119 | − | 7.77641i | 0.0803807 | − | 0.455861i | ||||
\(292\) | −1.95908 | − | 1.64386i | −0.114646 | − | 0.0961998i | ||||
\(293\) | 23.7505 | − | 8.64447i | 1.38752 | − | 0.505015i | 0.463070 | − | 0.886322i | \(-0.346748\pi\) |
0.924449 | + | 0.381306i | \(0.124526\pi\) | |||||||
\(294\) | −20.0945 | − | 7.31380i | −1.17194 | − | 0.426550i | ||||
\(295\) | −15.2216 | −0.886238 | ||||||||
\(296\) | 6.05809 | + | 0.547303i | 0.352119 | + | 0.0318113i | ||||
\(297\) | −9.05640 | −0.525506 | ||||||||
\(298\) | −11.6586 | − | 4.24337i | −0.675362 | − | 0.245812i | ||||
\(299\) | −17.3486 | + | 6.31436i | −1.00329 | + | 0.365169i | ||||
\(300\) | −2.45270 | − | 2.05806i | −0.141606 | − | 0.118822i | ||||
\(301\) | 0.797148 | − | 4.52085i | 0.0459469 | − | 0.260578i | ||||
\(302\) | −12.5489 | −0.722108 | ||||||||
\(303\) | 1.49537 | − | 8.48069i | 0.0859070 | − | 0.487203i | ||||
\(304\) | 0.0496317 | + | 0.0859645i | 0.00284657 | + | 0.00493040i | ||||
\(305\) | 15.4060 | − | 12.9272i | 0.882146 | − | 0.740209i | ||||
\(306\) | −3.90744 | + | 6.76789i | −0.223374 | + | 0.386895i | ||||
\(307\) | 12.2995 | + | 21.3034i | 0.701972 | + | 1.21585i | 0.967773 | + | 0.251823i | \(0.0810301\pi\) |
−0.265801 | + | 0.964028i | \(0.585637\pi\) | |||||||
\(308\) | 12.8726 | + | 4.68524i | 0.733483 | + | 0.266966i | ||||
\(309\) | −3.30633 | − | 2.77434i | −0.188091 | − | 0.157827i | ||||
\(310\) | 9.76476 | − | 16.9131i | 0.554601 | − | 0.960597i | ||||
\(311\) | 0.904212 | + | 5.12804i | 0.0512732 | + | 0.290785i | 0.999653 | − | 0.0263531i | \(-0.00838941\pi\) |
−0.948380 | + | 0.317138i | \(0.897278\pi\) | |||||||
\(312\) | 0.734290 | + | 4.16437i | 0.0415710 | + | 0.235761i | ||||
\(313\) | 5.54340 | − | 4.65147i | 0.313332 | − | 0.262916i | −0.472536 | − | 0.881311i | \(-0.656661\pi\) |
0.785867 | + | 0.618395i | \(0.212217\pi\) | |||||||
\(314\) | −3.30138 | + | 1.20160i | −0.186308 | + | 0.0678104i | ||||
\(315\) | −12.7235 | + | 4.63097i | −0.716887 | + | 0.260926i | ||||
\(316\) | −4.16394 | + | 3.49396i | −0.234240 | + | 0.196550i | ||||
\(317\) | −2.31803 | − | 13.1462i | −0.130194 | − | 0.738365i | −0.978087 | − | 0.208198i | \(-0.933240\pi\) |
0.847893 | − | 0.530167i | \(-0.177871\pi\) | |||||||
\(318\) | 0.310136 | + | 1.75887i | 0.0173916 | + | 0.0986326i | ||||
\(319\) | −1.29422 | + | 2.24165i | −0.0724624 | + | 0.125508i | ||||
\(320\) | −1.43969 | − | 1.20805i | −0.0804813 | − | 0.0675318i | ||||
\(321\) | −16.9070 | − | 6.15366i | −0.943659 | − | 0.343464i | ||||
\(322\) | 19.5185 | + | 33.8070i | 1.08772 | + | 1.88399i | ||||
\(323\) | 0.220690 | − | 0.382246i | 0.0122795 | − | 0.0212688i | ||||
\(324\) | −8.56720 | + | 7.18874i | −0.475956 | + | 0.399374i | ||||
\(325\) | 1.42291 | + | 2.46455i | 0.0789288 | + | 0.136709i | ||||
\(326\) | −0.415269 | + | 2.35511i | −0.0229996 | + | 0.130437i | ||||
\(327\) | −19.1606 | −1.05958 | ||||||||
\(328\) | 0.988827 | − | 5.60792i | 0.0545988 | − | 0.309645i | ||||
\(329\) | 22.3410 | + | 18.7463i | 1.23170 | + | 1.03352i | ||||
\(330\) | 12.8726 | − | 4.68524i | 0.708612 | − | 0.257914i | ||||
\(331\) | 4.29733 | + | 1.56410i | 0.236203 | + | 0.0859708i | 0.457410 | − | 0.889256i | \(-0.348777\pi\) |
−0.221207 | + | 0.975227i | \(0.571000\pi\) | |||||||
\(332\) | 0.658250 | 0.0361262 | ||||||||
\(333\) | 0.901584 | + | 10.6525i | 0.0494065 | + | 0.583751i | ||||
\(334\) | −15.5840 | −0.852717 | ||||||||
\(335\) | 23.2523 | + | 8.46314i | 1.27041 | + | 0.462391i | ||||
\(336\) | 8.40198 | − | 3.05807i | 0.458366 | − | 0.166831i | ||||
\(337\) | 2.49218 | + | 2.09118i | 0.135757 | + | 0.113914i | 0.708138 | − | 0.706074i | \(-0.249536\pi\) |
−0.572380 | + | 0.819988i | \(0.693980\pi\) | |||||||
\(338\) | −1.60477 | + | 9.10110i | −0.0872879 | + | 0.495035i | ||||
\(339\) | 21.7613 | 1.18191 | ||||||||
\(340\) | −1.45114 | + | 8.22984i | −0.0786993 | + | 0.446326i | ||||
\(341\) | −17.3628 | − | 30.0732i | −0.940248 | − | 1.62856i | ||||
\(342\) | −0.133641 | + | 0.112139i | −0.00722650 | + | 0.00606376i | ||||
\(343\) | 5.74708 | − | 9.95424i | 0.310313 | − | 0.537479i | ||||
\(344\) | 0.559929 | + | 0.969826i | 0.0301894 | + | 0.0522895i | ||||
\(345\) | 36.6827 | + | 13.3514i | 1.97493 | + | 0.718817i | ||||
\(346\) | −13.6947 | − | 11.4912i | −0.736233 | − | 0.617773i | ||||
\(347\) | −12.2387 | + | 21.1981i | −0.657008 | + | 1.13797i | 0.324379 | + | 0.945927i | \(0.394845\pi\) |
−0.981386 | + | 0.192044i | \(0.938488\pi\) | |||||||
\(348\) | 0.293376 | + | 1.66382i | 0.0157266 | + | 0.0891899i | ||||
\(349\) | 0.990209 | + | 5.61576i | 0.0530047 | + | 0.300604i | 0.999773 | − | 0.0213116i | \(-0.00678421\pi\) |
−0.946768 | + | 0.321916i | \(0.895673\pi\) | |||||||
\(350\) | 4.60956 | − | 3.86788i | 0.246391 | − | 0.206747i | ||||
\(351\) | 4.93713 | − | 1.79697i | 0.263525 | − | 0.0959152i | ||||
\(352\) | −3.14022 | + | 1.14295i | −0.167374 | + | 0.0609192i | ||||
\(353\) | 18.7175 | − | 15.7059i | 0.996233 | − | 0.835939i | 0.00977486 | − | 0.999952i | \(-0.496889\pi\) |
0.986458 | + | 0.164014i | \(0.0524441\pi\) | |||||||
\(354\) | 3.06765 | + | 17.3975i | 0.163044 | + | 0.924667i | ||||
\(355\) | 0.970296 | + | 5.50282i | 0.0514980 | + | 0.292059i | ||||
\(356\) | −1.76261 | + | 3.05294i | −0.0934184 | + | 0.161805i | ||||
\(357\) | −30.4561 | − | 25.5557i | −1.61191 | − | 1.35255i | ||||
\(358\) | 19.1756 | + | 6.97936i | 1.01346 | + | 0.368871i | ||||
\(359\) | −9.35461 | − | 16.2027i | −0.493717 | − | 0.855144i | 0.506256 | − | 0.862383i | \(-0.331029\pi\) |
−0.999974 | + | 0.00723934i | \(0.997696\pi\) | |||||||
\(360\) | 1.65152 | − | 2.86052i | 0.0870429 | − | 0.150763i | ||||
\(361\) | −14.5473 | + | 12.2066i | −0.765647 | + | 0.642454i | ||||
\(362\) | 9.13822 | + | 15.8279i | 0.480294 | + | 0.831894i | ||||
\(363\) | 0.0633635 | − | 0.359352i | 0.00332572 | − | 0.0188611i | ||||
\(364\) | −7.94718 | −0.416546 | ||||||||
\(365\) | 0.834611 | − | 4.73331i | 0.0436855 | − | 0.247753i | ||||
\(366\) | −17.8799 | − | 15.0030i | −0.934597 | − | 0.784220i | ||||
\(367\) | −31.6892 | + | 11.5339i | −1.65416 | + | 0.602067i | −0.989430 | − | 0.145013i | \(-0.953678\pi\) |
−0.664735 | + | 0.747080i | \(0.731455\pi\) | |||||||
\(368\) | −8.94862 | − | 3.25703i | −0.466479 | − | 0.169784i | ||||
\(369\) | 10.0080 | 0.520997 | ||||||||
\(370\) | 4.80196 | + | 10.3744i | 0.249642 | + | 0.539340i | ||||
\(371\) | −3.35659 | −0.174265 | ||||||||
\(372\) | −21.2986 | − | 7.75206i | −1.10428 | − | 0.401926i | ||||
\(373\) | −29.5389 | + | 10.7513i | −1.52947 | + | 0.556681i | −0.963491 | − | 0.267740i | \(-0.913723\pi\) |
−0.565977 | + | 0.824421i | \(0.691501\pi\) | |||||||
\(374\) | 11.3829 | + | 9.55137i | 0.588595 | + | 0.493889i | ||||
\(375\) | 4.60405 | − | 26.1109i | 0.237752 | − | 1.34836i | ||||
\(376\) | −7.11448 | −0.366901 | ||||||||
\(377\) | 0.260760 | − | 1.47885i | 0.0134298 | − | 0.0761644i | ||||
\(378\) | −5.55466 | − | 9.62096i | −0.285701 | − | 0.494849i | ||||
\(379\) | 5.33697 | − | 4.47825i | 0.274142 | − | 0.230032i | −0.495343 | − | 0.868697i | \(-0.664958\pi\) |
0.769485 | + | 0.638665i | \(0.220513\pi\) | |||||||
\(380\) | −0.0932770 | + | 0.161560i | −0.00478501 | + | 0.00828788i | ||||
\(381\) | 18.2972 | + | 31.6916i | 0.937393 | + | 1.62361i | ||||
\(382\) | −5.41796 | − | 1.97198i | −0.277207 | − | 0.100895i | ||||
\(383\) | −2.20412 | − | 1.84948i | −0.112625 | − | 0.0945038i | 0.584736 | − | 0.811224i | \(-0.301198\pi\) |
−0.697361 | + | 0.716720i | \(0.745643\pi\) | |||||||
\(384\) | −1.09059 | + | 1.88895i | −0.0556537 | + | 0.0963951i | ||||
\(385\) | 4.47060 | + | 25.3540i | 0.227843 | + | 1.29216i | ||||
\(386\) | −0.0624134 | − | 0.353964i | −0.00317676 | − | 0.0180163i | ||||
\(387\) | −1.50770 | + | 1.26511i | −0.0766408 | + | 0.0643093i | ||||
\(388\) | −3.40192 | + | 1.23820i | −0.172706 | + | 0.0628599i | ||||
\(389\) | 11.0993 | − | 4.03981i | 0.562756 | − | 0.204827i | −0.0449488 | − | 0.998989i | \(-0.514312\pi\) |
0.607705 | + | 0.794163i | \(0.292090\pi\) | |||||||
\(390\) | −6.08790 | + | 5.10835i | −0.308273 | + | 0.258671i | ||||
\(391\) | 7.35300 | + | 41.7009i | 0.371857 | + | 2.10891i | ||||
\(392\) | 1.70244 | + | 9.65502i | 0.0859862 | + | 0.487652i | ||||
\(393\) | −1.53082 | + | 2.65146i | −0.0772196 | + | 0.133748i | ||||
\(394\) | 5.33627 | + | 4.47766i | 0.268837 | + | 0.225581i | ||||
\(395\) | −9.59957 | − | 3.49396i | −0.483007 | − | 0.175800i | ||||
\(396\) | −2.93658 | − | 5.08631i | −0.147569 | − | 0.255597i | ||||
\(397\) | 15.6563 | − | 27.1174i | 0.785765 | − | 1.36098i | −0.142776 | − | 0.989755i | \(-0.545603\pi\) |
0.928541 | − | 0.371230i | \(-0.121064\pi\) | |||||||
\(398\) | 8.56279 | − | 7.18504i | 0.429214 | − | 0.360153i | ||||
\(399\) | −0.443767 | − | 0.768626i | −0.0222161 | − | 0.0384794i | ||||
\(400\) | −0.254900 | + | 1.44561i | −0.0127450 | + | 0.0722805i | ||||
\(401\) | −14.0281 | −0.700531 | −0.350266 | − | 0.936650i | \(-0.613909\pi\) | ||||
−0.350266 | + | 0.936650i | \(0.613909\pi\) | |||||||
\(402\) | 4.98683 | − | 28.2817i | 0.248720 | − | 1.41056i | ||||
\(403\) | 15.4325 | + | 12.9494i | 0.768749 | + | 0.645057i | ||||
\(404\) | −3.71001 | + | 1.35033i | −0.184580 | + | 0.0671817i | ||||
\(405\) | −19.7509 | − | 7.18874i | −0.981430 | − | 0.357211i | ||||
\(406\) | −3.17519 | −0.157582 | ||||||||
\(407\) | 20.2446 | + | 1.82895i | 1.00349 | + | 0.0906577i | ||||
\(408\) | 9.69871 | 0.480158 | ||||||||
\(409\) | 0.0761808 | + | 0.0277275i | 0.00376690 | + | 0.00137104i | 0.343903 | − | 0.939005i | \(-0.388251\pi\) |
−0.340136 | + | 0.940376i | \(0.610473\pi\) | |||||||
\(410\) | 10.0566 | − | 3.66031i | 0.496661 | − | 0.180770i | ||||
\(411\) | 20.7510 | + | 17.4122i | 1.02357 | + | 0.858880i | ||||
\(412\) | −0.343616 | + | 1.94874i | −0.0169287 | + | 0.0960076i | ||||
\(413\) | −33.2010 | −1.63372 | ||||||||
\(414\) | 2.90629 | − | 16.4824i | 0.142836 | − | 0.810066i | ||||
\(415\) | 0.618553 | + | 1.07136i | 0.0303636 | + | 0.0525912i | ||||
\(416\) | 1.48512 | − | 1.24616i | 0.0728140 | − | 0.0610982i | ||||
\(417\) | −20.0663 | + | 34.7559i | −0.982652 | + | 1.70200i | ||||
\(418\) | 0.165857 | + | 0.287272i | 0.00811231 | + | 0.0140509i | ||||
\(419\) | −4.35652 | − | 1.58564i | −0.212830 | − | 0.0774637i | 0.233405 | − | 0.972380i | \(-0.425013\pi\) |
−0.446235 | + | 0.894916i | \(0.647235\pi\) | |||||||
\(420\) | 12.8726 | + | 10.8014i | 0.628118 | + | 0.527053i | ||||
\(421\) | 9.66110 | − | 16.7335i | 0.470853 | − | 0.815542i | −0.528591 | − | 0.848877i | \(-0.677279\pi\) |
0.999444 | + | 0.0333350i | \(0.0106128\pi\) | |||||||
\(422\) | −2.12029 | − | 12.0248i | −0.103214 | − | 0.585356i | ||||
\(423\) | −2.17126 | − | 12.3138i | −0.105570 | − | 0.598719i | ||||
\(424\) | 0.627258 | − | 0.526332i | 0.0304624 | − | 0.0255610i | ||||
\(425\) | 6.13352 | − | 2.23242i | 0.297519 | − | 0.108288i | ||||
\(426\) | 6.09388 | − | 2.21799i | 0.295250 | − | 0.107462i | ||||
\(427\) | 33.6032 | − | 28.1964i | 1.62617 | − | 1.36452i | ||||
\(428\) | 1.43239 | + | 8.12350i | 0.0692373 | + | 0.392664i | ||||
\(429\) | 2.45381 | + | 13.9163i | 0.118471 | + | 0.671884i | ||||
\(430\) | −1.05232 | + | 1.82268i | −0.0507475 | + | 0.0878972i | ||||
\(431\) | 5.77729 | + | 4.84772i | 0.278282 | + | 0.233507i | 0.771237 | − | 0.636549i | \(-0.219639\pi\) |
−0.492954 | + | 0.870055i | \(0.664083\pi\) | |||||||
\(432\) | 2.54664 | + | 0.926901i | 0.122525 | + | 0.0445956i | ||||
\(433\) | −14.9169 | − | 25.8369i | −0.716863 | − | 1.24164i | −0.962237 | − | 0.272214i | \(-0.912244\pi\) |
0.245374 | − | 0.969428i | \(-0.421089\pi\) | |||||||
\(434\) | 21.2986 | − | 36.8903i | 1.02237 | − | 1.77079i | ||||
\(435\) | −2.43234 | + | 2.04097i | −0.116622 | + | 0.0978571i | ||||
\(436\) | 4.39227 | + | 7.60763i | 0.210351 | + | 0.364339i | ||||
\(437\) | −0.164146 | + | 0.930916i | −0.00785215 | + | 0.0445317i | ||||
\(438\) | −5.57812 | −0.266533 | ||||||||
\(439\) | 3.81229 | − | 21.6206i | 0.181951 | − | 1.03189i | −0.747860 | − | 0.663856i | \(-0.768919\pi\) |
0.929811 | − | 0.368038i | \(-0.119970\pi\) | |||||||
\(440\) | −4.81109 | − | 4.03699i | −0.229360 | − | 0.192456i | ||||
\(441\) | −16.1915 | + | 5.89321i | −0.771022 | + | 0.280629i | ||||
\(442\) | −8.10060 | − | 2.94838i | −0.385306 | − | 0.140240i | ||||
\(443\) | −34.6241 | −1.64504 | −0.822520 | − | 0.568736i | \(-0.807433\pi\) | ||||
−0.822520 | + | 0.568736i | \(0.807433\pi\) | |||||||
\(444\) | 10.8896 | − | 7.57915i | 0.516800 | − | 0.359691i | ||||
\(445\) | −6.62526 | −0.314068 | ||||||||
\(446\) | 10.1060 | + | 3.67827i | 0.478531 | + | 0.174171i | ||||
\(447\) | −25.4293 | + | 9.25552i | −1.20277 | + | 0.437771i | ||||
\(448\) | −3.14022 | − | 2.63496i | −0.148361 | − | 0.124490i | ||||
\(449\) | −3.46279 | + | 19.6385i | −0.163419 | + | 0.926796i | 0.787260 | + | 0.616621i | \(0.211499\pi\) |
−0.950679 | + | 0.310175i | \(0.899612\pi\) | |||||||
\(450\) | −2.57987 | −0.121616 | ||||||||
\(451\) | 3.30441 | − | 18.7403i | 0.155599 | − | 0.882444i | ||||
\(452\) | −4.98845 | − | 8.64025i | −0.234637 | − | 0.406403i | ||||
\(453\) | −20.9676 | + | 17.5939i | −0.985146 | + | 0.826635i | ||||
\(454\) | 1.48263 | − | 2.56799i | 0.0695834 | − | 0.120522i | ||||
\(455\) | −7.46791 | − | 12.9348i | −0.350101 | − | 0.606393i | ||||
\(456\) | 0.203453 | + | 0.0740509i | 0.00952757 | + | 0.00346775i | ||||
\(457\) | 24.6964 | + | 20.7227i | 1.15525 | + | 0.969368i | 0.999829 | − | 0.0184812i | \(-0.00588309\pi\) |
0.155418 | + | 0.987849i | \(0.450328\pi\) | |||||||
\(458\) | 1.51631 | − | 2.62633i | 0.0708526 | − | 0.122720i | ||||
\(459\) | −2.09255 | − | 11.8674i | −0.0976719 | − | 0.553925i | ||||
\(460\) | −3.10782 | − | 17.6253i | −0.144903 | − | 0.821786i | ||||
\(461\) | 5.61373 | − | 4.71048i | 0.261458 | − | 0.219389i | −0.502630 | − | 0.864502i | \(-0.667634\pi\) |
0.764087 | + | 0.645113i | \(0.223190\pi\) | |||||||
\(462\) | 28.0773 | − | 10.2193i | 1.30627 | − | 0.475445i | ||||
\(463\) | −6.09514 | + | 2.21845i | −0.283265 | + | 0.103100i | −0.479745 | − | 0.877408i | \(-0.659271\pi\) |
0.196480 | + | 0.980508i | \(0.437049\pi\) | |||||||
\(464\) | 0.593359 | − | 0.497888i | 0.0275460 | − | 0.0231139i | ||||
\(465\) | −7.39693 | − | 41.9501i | −0.343025 | − | 1.94539i | ||||
\(466\) | −0.0501507 | − | 0.284419i | −0.00232318 | − | 0.0131754i | ||||
\(467\) | 5.99288 | − | 10.3800i | 0.277317 | − | 0.480328i | −0.693400 | − | 0.720553i | \(-0.743888\pi\) |
0.970717 | + | 0.240225i | \(0.0772214\pi\) | |||||||
\(468\) | 2.61012 | + | 2.19015i | 0.120653 | + | 0.101240i | ||||
\(469\) | 50.7172 | + | 18.4596i | 2.34190 | + | 0.852383i | ||||
\(470\) | −6.68542 | − | 11.5795i | −0.308375 | − | 0.534122i | ||||
\(471\) | −3.83151 | + | 6.63637i | −0.176547 | + | 0.305788i | ||||
\(472\) | 6.20440 | − | 5.20611i | 0.285580 | − | 0.239630i | ||||
\(473\) | 1.87114 | + | 3.24091i | 0.0860352 | + | 0.149017i | ||||
\(474\) | −2.05878 | + | 11.6759i | −0.0945630 | + | 0.536293i | ||||
\(475\) | 0.145710 | 0.00668562 | ||||||||
\(476\) | −3.16519 | + | 17.9507i | −0.145076 | + | 0.822769i | ||||
\(477\) | 1.10241 | + | 0.925036i | 0.0504761 | + | 0.0423545i | ||||
\(478\) | 4.73144 | − | 1.72210i | 0.216411 | − | 0.0787672i | ||||
\(479\) | −21.3237 | − | 7.76119i | −0.974305 | − | 0.354618i | −0.194681 | − | 0.980867i | \(-0.562367\pi\) |
−0.779623 | + | 0.626249i | \(0.784590\pi\) | |||||||
\(480\) | −4.09926 | −0.187105 | ||||||||
\(481\) | −11.3993 | + | 3.01988i | −0.519765 | + | 0.137694i | ||||
\(482\) | −17.3760 | −0.791454 | ||||||||
\(483\) | 80.0114 | + | 29.1218i | 3.64064 | + | 1.32509i | ||||
\(484\) | −0.157204 | + | 0.0572177i | −0.00714566 | + | 0.00260081i | ||||
\(485\) | −5.21204 | − | 4.37342i | −0.236666 | − | 0.198587i | ||||
\(486\) | −2.82410 | + | 16.0162i | −0.128104 | + | 0.726511i | ||||
\(487\) | 12.3108 | 0.557856 | 0.278928 | − | 0.960312i | \(-0.410021\pi\) | ||||
0.278928 | + | 0.960312i | \(0.410021\pi\) | |||||||
\(488\) | −1.85819 | + | 10.5383i | −0.0841165 | + | 0.477048i | ||||
\(489\) | 2.60807 | + | 4.51731i | 0.117941 | + | 0.204280i | ||||
\(490\) | −14.1147 | + | 11.8436i | −0.637637 | + | 0.535041i | ||||
\(491\) | −0.575398 | + | 0.996619i | −0.0259674 | + | 0.0449768i | −0.878717 | − | 0.477343i | \(-0.841600\pi\) |
0.852750 | + | 0.522320i | \(0.174933\pi\) | |||||||
\(492\) | −6.21026 | − | 10.7565i | −0.279980 | − | 0.484940i | ||||
\(493\) | −3.23649 | − | 1.17798i | −0.145764 | − | 0.0530538i | ||||
\(494\) | −0.147418 | − | 0.123698i | −0.00663264 | − | 0.00556545i | ||||
\(495\) | 5.51897 | − | 9.55914i | 0.248059 | − | 0.429652i | ||||
\(496\) | 1.80445 | + | 10.2336i | 0.0810224 | + | 0.459501i | ||||
\(497\) | 2.11638 | + | 12.0026i | 0.0949327 | + | 0.538390i | ||||
\(498\) | 1.09985 | − | 0.922887i | 0.0492856 | − | 0.0413555i | ||||
\(499\) | −26.2321 | + | 9.54769i | −1.17431 | + | 0.427413i | −0.854189 | − | 0.519963i | \(-0.825946\pi\) |
−0.320120 | + | 0.947377i | \(0.603723\pi\) | |||||||
\(500\) | −11.4226 | + | 4.15749i | −0.510835 | + | 0.185929i | ||||
\(501\) | −26.0389 | + | 21.8492i | −1.16333 | + | 0.976151i | ||||
\(502\) | −0.304872 | − | 1.72902i | −0.0136071 | − | 0.0771697i | ||||
\(503\) | −2.84222 | − | 16.1191i | −0.126728 | − | 0.718713i | −0.980266 | − | 0.197682i | \(-0.936659\pi\) |
0.853538 | − | 0.521031i | \(-0.174452\pi\) | |||||||
\(504\) | 3.60225 | − | 6.23929i | 0.160457 | − | 0.277920i | ||||
\(505\) | −5.68407 | − | 4.76950i | −0.252938 | − | 0.212240i | ||||
\(506\) | −29.9041 | − | 10.8842i | −1.32940 | − | 0.483861i | ||||
\(507\) | 10.0787 | + | 17.4567i | 0.447609 | + | 0.775281i | ||||
\(508\) | 8.38869 | − | 14.5296i | 0.372188 | − | 0.644648i | ||||
\(509\) | 3.32007 | − | 2.78587i | 0.147159 | − | 0.123481i | −0.566236 | − | 0.824243i | \(-0.691601\pi\) |
0.713395 | + | 0.700762i | \(0.247156\pi\) | |||||||
\(510\) | 9.11381 | + | 15.7856i | 0.403566 | + | 0.698997i | ||||
\(511\) | 1.82043 | − | 10.3242i | 0.0805311 | − | 0.456715i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 0.0467133 | − | 0.264924i | 0.00206244 | − | 0.0116967i | ||||
\(514\) | −9.77019 | − | 8.19816i | −0.430944 | − | 0.361605i | ||||
\(515\) | −3.49466 | + | 1.27195i | −0.153993 | + | 0.0560488i | ||||
\(516\) | 2.29530 | + | 0.835420i | 0.101045 | + | 0.0367773i | ||||
\(517\) | −23.7748 | −1.04561 | ||||||||
\(518\) | 10.4739 | + | 22.6284i | 0.460196 | + | 0.994234i | ||||
\(519\) | −38.9932 | −1.71161 | ||||||||
\(520\) | 3.42381 | + | 1.24616i | 0.150144 | + | 0.0546479i | ||||
\(521\) | −1.75997 | + | 0.640577i | −0.0771057 | + | 0.0280642i | −0.380285 | − | 0.924869i | \(-0.624174\pi\) |
0.303179 | + | 0.952934i | \(0.401952\pi\) | |||||||
\(522\) | 1.04284 | + | 0.875044i | 0.0456437 | + | 0.0382996i | ||||
\(523\) | 6.43474 | − | 36.4932i | 0.281371 | − | 1.59574i | −0.436595 | − | 0.899658i | \(-0.643816\pi\) |
0.717966 | − | 0.696078i | \(-0.245073\pi\) | |||||||
\(524\) | 1.40367 | 0.0613194 | ||||||||
\(525\) | 2.27911 | − | 12.9255i | 0.0994686 | − | 0.564115i | ||||
\(526\) | 13.1825 | + | 22.8328i | 0.574786 | + | 0.995559i | ||||
\(527\) | 35.3960 | − | 29.7007i | 1.54187 | − | 1.29378i | ||||
\(528\) | −3.64447 | + | 6.31240i | −0.158605 | + | 0.274712i | ||||
\(529\) | −33.8430 | − | 58.6178i | −1.47144 | − | 2.54860i | ||||
\(530\) | 1.44609 | + | 0.526332i | 0.0628140 | + | 0.0228624i | ||||
\(531\) | 10.9043 | + | 9.14980i | 0.473207 | + | 0.397068i | ||||
\(532\) | −0.203453 | + | 0.352391i | −0.00882082 | + | 0.0152781i | ||||
\(533\) | 1.91702 | + | 10.8720i | 0.0830356 | + | 0.470918i | ||||
\(534\) | 1.33520 | + | 7.57232i | 0.0577799 | + | 0.327686i | ||||
\(535\) | −11.8758 | + | 9.96494i | −0.513434 | + | 0.430822i | ||||
\(536\) | −12.3723 | + | 4.50314i | −0.534401 | + | 0.194506i | ||||
\(537\) | 41.8254 | − | 15.2232i | 1.80490 | − | 0.656929i | ||||
\(538\) | 10.4226 | − | 8.74563i | 0.449352 | − | 0.377051i | ||||
\(539\) | 5.68913 | + | 32.2646i | 0.245048 | + | 1.38974i | ||||
\(540\) | 0.884439 | + | 5.01590i | 0.0380602 | + | 0.215850i | ||||
\(541\) | −7.75312 | + | 13.4288i | −0.333332 | + | 0.577349i | −0.983163 | − | 0.182730i | \(-0.941506\pi\) |
0.649831 | + | 0.760079i | \(0.274840\pi\) | |||||||
\(542\) | −3.30617 | − | 2.77421i | −0.142012 | − | 0.119162i | ||||
\(543\) | 37.4600 | + | 13.6343i | 1.60756 | + | 0.585104i | ||||
\(544\) | −2.22328 | − | 3.85083i | −0.0953223 | − | 0.165103i | ||||
\(545\) | −8.25476 | + | 14.2977i | −0.353595 | + | 0.612445i | ||||
\(546\) | −13.2787 | + | 11.1422i | −0.568278 | + | 0.476842i | ||||
\(547\) | 20.5925 | + | 35.6673i | 0.880472 | + | 1.52502i | 0.850817 | + | 0.525462i | \(0.176107\pi\) |
0.0296544 | + | 0.999560i | \(0.490559\pi\) | |||||||
\(548\) | 2.15658 | − | 12.2306i | 0.0921247 | − | 0.522465i | ||||
\(549\) | −18.8070 | −0.802663 | ||||||||
\(550\) | −0.851812 | + | 4.83087i | −0.0363214 | + | 0.205989i | ||||
\(551\) | −0.0588988 | − | 0.0494220i | −0.00250917 | − | 0.00210545i | ||||
\(552\) | −19.5185 | + | 7.10415i | −0.830762 | + | 0.302373i | ||||
\(553\) | −20.9383 | − | 7.62092i | −0.890388 | − | 0.324075i | ||||
\(554\) | −3.49344 | −0.148422 | ||||||||
\(555\) | 22.5687 | + | 10.6019i | 0.957989 | + | 0.450024i | ||||
\(556\) | 18.3996 | 0.780315 | ||||||||
\(557\) | 11.4686 | + | 4.17423i | 0.485940 | + | 0.176868i | 0.573359 | − | 0.819304i | \(-0.305640\pi\) |
−0.0874196 | + | 0.996172i | \(0.527862\pi\) | |||||||
\(558\) | −17.1617 | + | 6.24634i | −0.726512 | + | 0.264429i | ||||
\(559\) | −1.66312 | − | 1.39553i | −0.0703426 | − | 0.0590245i | ||||
\(560\) | 1.33780 | − | 7.58705i | 0.0565325 | − | 0.320611i | ||||
\(561\) | 32.4107 | 1.36838 | ||||||||
\(562\) | −1.27419 | + | 7.22628i | −0.0537484 | + | 0.304822i | ||||
\(563\) | 5.70965 | + | 9.88940i | 0.240633 | + | 0.416788i | 0.960895 | − | 0.276914i | \(-0.0893117\pi\) |
−0.720262 | + | 0.693702i | \(0.755978\pi\) | |||||||
\(564\) | −11.8874 | + | 9.97471i | −0.500550 | + | 0.420011i | ||||
\(565\) | 9.37522 | − | 16.2384i | 0.394418 | − | 0.683153i | ||||
\(566\) | −7.00144 | − | 12.1268i | −0.294292 | − | 0.509729i | ||||
\(567\) | −43.0801 | − | 15.6799i | −1.80919 | − | 0.658493i | ||||
\(568\) | −2.27757 | − | 1.91111i | −0.0955648 | − | 0.0801884i | ||||
\(569\) | 11.1732 | − | 19.3526i | 0.468406 | − | 0.811303i | −0.530942 | − | 0.847408i | \(-0.678162\pi\) |
0.999348 | + | 0.0361049i | \(0.0114951\pi\) | |||||||
\(570\) | 0.0706586 | + | 0.400725i | 0.00295956 | + | 0.0167845i | ||||
\(571\) | −2.29253 | − | 13.0016i | −0.0959395 | − | 0.544100i | −0.994455 | − | 0.105159i | \(-0.966465\pi\) |
0.898516 | − | 0.438941i | \(-0.144646\pi\) | |||||||
\(572\) | 4.96290 | − | 4.16437i | 0.207509 | − | 0.174121i | ||||
\(573\) | −11.8175 | + | 4.30122i | −0.493683 | + | 0.179686i | ||||
\(574\) | 21.9352 | − | 7.98376i | 0.915558 | − | 0.333236i | ||||
\(575\) | −10.7084 | + | 8.98540i | −0.446571 | + | 0.374717i | ||||
\(576\) | 0.305189 | + | 1.73081i | 0.0127162 | + | 0.0721172i | ||||
\(577\) | 5.09708 | + | 28.9070i | 0.212194 | + | 1.20341i | 0.885709 | + | 0.464241i | \(0.153673\pi\) |
−0.673515 | + | 0.739174i | \(0.735216\pi\) | |||||||
\(578\) | −1.38595 | + | 2.40053i | −0.0576478 | + | 0.0998489i | ||||
\(579\) | −0.600553 | − | 0.503924i | −0.0249581 | − | 0.0209424i | ||||
\(580\) | 1.36794 | + | 0.497888i | 0.0568004 | + | 0.0206737i | ||||
\(581\) | 1.34917 | + | 2.33683i | 0.0559730 | + | 0.0969481i | ||||
\(582\) | −3.94819 | + | 6.83846i | −0.163658 | + | 0.283463i | ||||
\(583\) | 2.09614 | − | 1.75887i | 0.0868133 | − | 0.0728450i | ||||
\(584\) | 1.27870 | + | 2.21477i | 0.0529129 | + | 0.0916478i | ||||
\(585\) | −1.11197 | + | 6.30628i | −0.0459742 | + | 0.260733i | ||||
\(586\) | −25.2747 | −1.04409 | ||||||||
\(587\) | −3.68838 | + | 20.9178i | −0.152236 | + | 0.863371i | 0.809034 | + | 0.587762i | \(0.199991\pi\) |
−0.961270 | + | 0.275609i | \(0.911120\pi\) | |||||||
\(588\) | 16.3812 | + | 13.7455i | 0.675549 | + | 0.566853i | ||||
\(589\) | 0.969282 | − | 0.352790i | 0.0399386 | − | 0.0145365i | ||||
\(590\) | 14.3037 | + | 5.20611i | 0.588872 | + | 0.214332i | ||||
\(591\) | 15.1941 | 0.625000 | ||||||||
\(592\) | −5.50555 | − | 2.58629i | −0.226277 | − | 0.106296i | ||||
\(593\) | 31.4119 | 1.28993 | 0.644965 | − | 0.764212i | \(-0.276872\pi\) | ||||
0.644965 | + | 0.764212i | \(0.276872\pi\) | |||||||
\(594\) | 8.51024 | + | 3.09747i | 0.349179 | + | 0.127091i | ||||
\(595\) | −32.1908 | + | 11.7165i | −1.31969 | + | 0.480329i | ||||
\(596\) | 9.50414 | + | 7.97492i | 0.389305 | + | 0.326666i | ||||
\(597\) | 4.23372 | − | 24.0106i | 0.173274 | − | 0.982688i | ||||
\(598\) | 18.4620 | 0.754965 | ||||||||
\(599\) | −3.52563 | + | 19.9949i | −0.144053 | + | 0.816967i | 0.824069 | + | 0.566490i | \(0.191699\pi\) |
−0.968122 | + | 0.250478i | \(0.919412\pi\) | |||||||
\(600\) | 1.60088 | + | 2.77281i | 0.0653558 | + | 0.113200i | ||||
\(601\) | −34.1524 | + | 28.6573i | −1.39311 | + | 1.16896i | −0.429044 | + | 0.903284i | \(0.641149\pi\) |
−0.964063 | + | 0.265672i | \(0.914406\pi\) | |||||||
\(602\) | −2.29530 | + | 3.97557i | −0.0935493 | + | 0.162032i | ||||
\(603\) | −11.5700 | − | 20.0398i | −0.471166 | − | 0.816083i | ||||
\(604\) | 11.7921 | + | 4.29198i | 0.479814 | + | 0.174638i | ||||
\(605\) | −0.240851 | − | 0.202098i | −0.00979199 | − | 0.00821646i | ||||
\(606\) | −4.30576 | + | 7.45779i | −0.174910 | + | 0.302952i | ||||
\(607\) | −3.49184 | − | 19.8032i | −0.141730 | − | 0.803788i | −0.969935 | − | 0.243364i | \(-0.921749\pi\) |
0.828205 | − | 0.560425i | \(-0.189362\pi\) | |||||||
\(608\) | −0.0172369 | − | 0.0977553i | −0.000699048 | − | 0.00396450i | ||||
\(609\) | −5.30534 | + | 4.45171i | −0.214983 | + | 0.180393i | ||||
\(610\) | −18.8983 | + | 6.87841i | −0.765169 | + | 0.278499i | ||||
\(611\) | 12.9609 | − | 4.71739i | 0.524343 | − | 0.190845i | ||||
\(612\) | 5.98655 | − | 5.02331i | 0.241992 | − | 0.203055i | ||||
\(613\) | 5.59486 | + | 31.7300i | 0.225974 | + | 1.28156i | 0.860814 | + | 0.508920i | \(0.169955\pi\) |
−0.634839 | + | 0.772644i | \(0.718934\pi\) | |||||||
\(614\) | −4.27159 | − | 24.2254i | −0.172387 | − | 0.977656i | ||||
\(615\) | 11.6715 | − | 20.2156i | 0.470639 | − | 0.815172i | ||||
\(616\) | −10.4938 | − | 8.80536i | −0.422808 | − | 0.354778i | ||||
\(617\) | −36.5834 | − | 13.3153i | −1.47279 | − | 0.536052i | −0.523934 | − | 0.851759i | \(-0.675536\pi\) |
−0.948857 | + | 0.315707i | \(0.897758\pi\) | |||||||
\(618\) | 2.15806 | + | 3.73786i | 0.0868097 | + | 0.150359i | ||||
\(619\) | 13.1812 | − | 22.8305i | 0.529796 | − | 0.917634i | −0.469600 | − | 0.882879i | \(-0.655602\pi\) |
0.999396 | − | 0.0347545i | \(-0.0110649\pi\) | |||||||
\(620\) | −14.9605 | + | 12.5533i | −0.600827 | + | 0.504154i | ||||
\(621\) | 12.9039 | + | 22.3503i | 0.517817 | + | 0.896885i | ||||
\(622\) | 0.904212 | − | 5.12804i | 0.0362556 | − | 0.205616i | ||||
\(623\) | −14.4508 | −0.578961 | ||||||||
\(624\) | 0.734290 | − | 4.16437i | 0.0293951 | − | 0.166708i | ||||
\(625\) | −11.8780 | − | 9.96686i | −0.475122 | − | 0.398674i | ||||
\(626\) | −6.79999 | + | 2.47499i | −0.271782 | + | 0.0989206i | ||||
\(627\) | 0.679890 | + | 0.247460i | 0.0271522 | + | 0.00988259i | ||||
\(628\) | 3.51326 | 0.140194 | ||||||||
\(629\) | 2.28103 | + | 26.9510i | 0.0909507 | + | 1.07461i | ||||
\(630\) | 13.5400 | 0.539448 | ||||||||
\(631\) | −38.8218 | − | 14.1300i | −1.54547 | − | 0.562506i | −0.578122 | − | 0.815950i | \(-0.696214\pi\) |
−0.967350 | + | 0.253445i | \(0.918436\pi\) | |||||||
\(632\) | 5.10782 | − | 1.85910i | 0.203178 | − | 0.0739509i | ||||
\(633\) | −20.4018 | − | 17.1192i | −0.810900 | − | 0.680426i | ||||
\(634\) | −2.31803 | + | 13.1462i | −0.0920608 | + | 0.522103i | ||||
\(635\) | 31.5312 | 1.25128 | ||||||||
\(636\) | 0.310136 | − | 1.75887i | 0.0122977 | − | 0.0697438i | ||||
\(637\) | −9.50340 | − | 16.4604i | −0.376538 | − | 0.652184i | ||||
\(638\) | 1.98286 | − | 1.66382i | 0.0785021 | − | 0.0658711i | ||||
\(639\) | 2.61268 | − | 4.52530i | 0.103356 | − | 0.179018i | ||||
\(640\) | 0.939693 | + | 1.62760i | 0.0371446 | + | 0.0643364i | ||||
\(641\) | 41.1013 | + | 14.9596i | 1.62340 | + | 0.590871i | 0.984026 | − | 0.178023i | \(-0.0569701\pi\) |
0.639377 | + | 0.768893i | \(0.279192\pi\) | |||||||
\(642\) | 13.7827 | + | 11.5651i | 0.543961 | + | 0.456438i | ||||
\(643\) | 1.65777 | − | 2.87133i | 0.0653759 | − | 0.113234i | −0.831485 | − | 0.555548i | \(-0.812509\pi\) |
0.896861 | + | 0.442313i | \(0.145842\pi\) | |||||||
\(644\) | −6.77870 | − | 38.4439i | −0.267118 | − | 1.51490i | ||||
\(645\) | 0.797148 | + | 4.52085i | 0.0313877 | + | 0.178008i | ||||
\(646\) | −0.338117 | + | 0.283714i | −0.0133030 | + | 0.0111626i | ||||
\(647\) | 21.4630 | − | 7.81189i | 0.843797 | − | 0.307117i | 0.116288 | − | 0.993216i | \(-0.462900\pi\) |
0.727509 | + | 0.686099i | \(0.240678\pi\) | |||||||
\(648\) | 10.5092 | − | 3.82505i | 0.412841 | − | 0.150262i | ||||
\(649\) | 20.7335 | − | 17.3975i | 0.813863 | − | 0.682912i | ||||
\(650\) | −0.494171 | − | 2.80258i | −0.0193830 | − | 0.109926i | ||||
\(651\) | −16.1340 | − | 91.5004i | −0.632341 | − | 3.58618i | ||||
\(652\) | 1.19572 | − | 2.07105i | 0.0468280 | − | 0.0811084i | ||||
\(653\) | 1.62966 | + | 1.36745i | 0.0637735 | + | 0.0535124i | 0.674117 | − | 0.738624i | \(-0.264524\pi\) |
−0.610344 | + | 0.792137i | \(0.708969\pi\) | |||||||
\(654\) | 18.0051 | + | 6.55331i | 0.704054 | + | 0.256255i | ||||
\(655\) | 1.31901 | + | 2.28460i | 0.0515382 | + | 0.0892667i | ||||
\(656\) | −2.84721 | + | 4.93152i | −0.111165 | + | 0.192543i | ||||
\(657\) | −3.44311 | + | 2.88911i | −0.134328 | + | 0.112715i | ||||
\(658\) | −14.5821 | − | 25.2569i | −0.568468 | − | 0.984615i | ||||
\(659\) | −1.48751 | + | 8.43610i | −0.0579452 | + | 0.328624i | −0.999976 | − | 0.00690225i | \(-0.997803\pi\) |
0.942031 | + | 0.335526i | \(0.108914\pi\) | |||||||
\(660\) | −13.6987 | −0.533222 | ||||||||
\(661\) | 0.139199 | − | 0.789436i | 0.00541421 | − | 0.0307055i | −0.981981 | − | 0.188980i | \(-0.939482\pi\) |
0.987395 | + | 0.158274i | \(0.0505930\pi\) | |||||||
\(662\) | −3.50322 | − | 2.93955i | −0.136156 | − | 0.114249i | ||||
\(663\) | −17.6688 | + | 6.43092i | −0.686200 | + | 0.249756i | ||||
\(664\) | −0.618553 | − | 0.225135i | −0.0240045 | − | 0.00873692i | ||||
\(665\) | −0.764734 | −0.0296551 | ||||||||
\(666\) | 2.79614 | − | 10.3184i | 0.108348 | − | 0.399829i | ||||
\(667\) | 7.37622 | 0.285609 | ||||||||
\(668\) | 14.6442 | + | 5.33004i | 0.566599 | + | 0.206225i | ||||
\(669\) | 22.0428 | − | 8.02294i | 0.852225 | − | 0.310185i | ||||
\(670\) | −18.9554 | − | 15.9055i | −0.732312 | − | 0.614483i | ||||
\(671\) | −6.20962 | + | 35.2165i | −0.239720 | + | 1.35952i | ||||
\(672\) | −8.94120 | −0.344914 | ||||||||
\(673\) | 7.47353 | − | 42.3845i | 0.288083 | − | 1.63380i | −0.405976 | − | 0.913884i | \(-0.633068\pi\) |
0.694059 | − | 0.719918i | \(-0.255821\pi\) | |||||||
\(674\) | −1.62665 | − | 2.81744i | −0.0626563 | − | 0.108524i | ||||
\(675\) | 3.04744 | − | 2.55711i | 0.117296 | − | 0.0984231i | ||||
\(676\) | 4.62075 | − | 8.00337i | 0.177721 | − | 0.307822i | ||||
\(677\) | −9.99716 | − | 17.3156i | −0.384222 | − | 0.665492i | 0.607439 | − | 0.794367i | \(-0.292197\pi\) |
−0.991661 | + | 0.128874i | \(0.958864\pi\) | |||||||
\(678\) | −20.4490 | − | 7.44281i | −0.785338 | − | 0.285840i | ||||
\(679\) | −11.3684 | − | 9.53918i | −0.436277 | − | 0.366080i | ||||
\(680\) | 4.17840 | − | 7.23720i | 0.160234 | − | 0.277534i | ||||
\(681\) | −1.12311 | − | 6.36949i | −0.0430378 | − | 0.244079i | ||||
\(682\) | 6.03003 | + | 34.1980i | 0.230902 | + | 1.30951i | ||||
\(683\) | 28.2126 | − | 23.6732i | 1.07953 | − | 0.905830i | 0.0836451 | − | 0.996496i | \(-0.473344\pi\) |
0.995881 | + | 0.0906653i | \(0.0288993\pi\) | |||||||
\(684\) | 0.163936 | − | 0.0596677i | 0.00626823 | − | 0.00228145i | ||||
\(685\) | 21.9330 | − | 7.98295i | 0.838016 | − | 0.305013i | ||||
\(686\) | −8.80504 | + | 7.38831i | −0.336178 | + | 0.282087i | ||||
\(687\) | −1.14863 | − | 6.51419i | −0.0438228 | − | 0.248532i | ||||
\(688\) | −0.194461 | − | 1.10284i | −0.00741377 | − | 0.0420456i | ||||
\(689\) | −0.793725 | + | 1.37477i | −0.0302385 | + | 0.0523746i | ||||
\(690\) | −29.9041 | − | 25.0925i | −1.13843 | − | 0.955254i | ||||
\(691\) | −0.825837 | − | 0.300580i | −0.0314163 | − | 0.0114346i | 0.326264 | − | 0.945279i | \(-0.394210\pi\) |
−0.357681 | + | 0.933844i | \(0.616432\pi\) | |||||||
\(692\) | 8.93860 | + | 15.4821i | 0.339794 | + | 0.588541i | ||||
\(693\) | 12.0378 | − | 20.8501i | 0.457280 | − | 0.792031i | ||||
\(694\) | 18.7508 | − | 15.7338i | 0.711770 | − | 0.597246i | ||||
\(695\) | 17.2899 | + | 29.9471i | 0.655845 | + | 1.13596i | ||||
\(696\) | 0.293376 | − | 1.66382i | 0.0111204 | − | 0.0630668i | ||||
\(697\) | 25.3206 | 0.959087 | ||||||||
\(698\) | 0.990209 | − | 5.61576i | 0.0374800 | − | 0.212559i | ||||
\(699\) | −0.482559 | − | 0.404915i | −0.0182521 | − | 0.0153153i | ||||
\(700\) | −5.65446 | + | 2.05806i | −0.213719 | + | 0.0777872i | ||||
\(701\) | 19.5851 | + | 7.12840i | 0.739719 | + | 0.269236i | 0.684273 | − | 0.729226i | \(-0.260120\pi\) |
0.0554462 | + | 0.998462i | \(0.482342\pi\) | |||||||
\(702\) | −5.25399 | −0.198299 | ||||||||
\(703\) | −0.157924 | + | 0.582776i | −0.00595623 | + | 0.0219798i | ||||
\(704\) | 3.34175 | 0.125947 | ||||||||
\(705\) | −27.4053 | − | 9.97471i | −1.03214 | − | 0.375669i | ||||
\(706\) | −22.9604 | + | 8.35691i | −0.864127 | + | 0.314517i | ||||
\(707\) | −12.3979 | − | 10.4031i | −0.466273 | − | 0.391249i | ||||
\(708\) | 3.06765 | − | 17.3975i | 0.115289 | − | 0.653838i | ||||
\(709\) | −21.6348 | −0.812512 | −0.406256 | − | 0.913759i | \(-0.633166\pi\) | ||||
−0.406256 | + | 0.913759i | \(0.633166\pi\) | |||||||
\(710\) | 0.970296 | − | 5.50282i | 0.0364146 | − | 0.206517i | ||||
\(711\) | 4.77660 | + | 8.27331i | 0.179136 | + | 0.310273i | ||||
\(712\) | 2.70048 | − | 2.26597i | 0.101205 | − | 0.0849209i | ||||
\(713\) | −49.4784 | + | 85.6991i | −1.85298 | + | 3.20946i | ||||
\(714\) | 19.8788 | + | 34.4311i | 0.743945 | + | 1.28855i | ||||
\(715\) | 11.4415 | + | 4.16437i | 0.427888 | + | 0.155738i | ||||
\(716\) | −15.6321 | − | 13.1169i | −0.584200 | − | 0.490202i | ||||
\(717\) | 5.49121 | − | 9.51105i | 0.205073 | − | 0.355197i | ||||
\(718\) | 3.24882 | + | 18.4250i | 0.121245 | + | 0.687614i | ||||
\(719\) | 4.46063 | + | 25.2975i | 0.166353 | + | 0.943437i | 0.947658 | + | 0.319287i | \(0.103443\pi\) |
−0.781305 | + | 0.624150i | \(0.785445\pi\) | |||||||
\(720\) | −2.53028 | + | 2.12316i | −0.0942979 | + | 0.0791254i | ||||
\(721\) | −7.62245 | + | 2.77434i | −0.283875 | + | 0.103322i | ||||
\(722\) | 17.8449 | − | 6.49501i | 0.664118 | − | 0.241719i | ||||
\(723\) | −29.0331 | + | 24.3616i | −1.07975 | + | 0.906019i | ||||
\(724\) | −3.17367 | − | 17.9988i | −0.117949 | − | 0.668919i | ||||
\(725\) | −0.197439 | − | 1.11973i | −0.00733272 | − | 0.0415859i | ||||
\(726\) | −0.182448 | + | 0.316009i | −0.00677128 | + | 0.0117282i | ||||
\(727\) | 20.4343 | + | 17.1464i | 0.757868 | + | 0.635927i | 0.937571 | − | 0.347794i | \(-0.113069\pi\) |
−0.179703 | + | 0.983721i | \(0.557514\pi\) | |||||||
\(728\) | 7.46791 | + | 2.71810i | 0.276779 | + | 0.100739i | ||||
\(729\) | 0.961018 | + | 1.66453i | 0.0355933 | + | 0.0616493i | ||||
\(730\) | −2.40317 | + | 4.16241i | −0.0889452 | + | 0.154058i | ||||
\(731\) | −3.81453 | + | 3.20077i | −0.141086 | + | 0.118385i | ||||
\(732\) | 11.6703 | + | 20.2135i | 0.431345 | + | 0.747112i | ||||
\(733\) | −1.97614 | + | 11.2073i | −0.0729906 | + | 0.413950i | 0.926317 | + | 0.376745i | \(0.122957\pi\) |
−0.999308 | + | 0.0372052i | \(0.988154\pi\) | |||||||
\(734\) | 33.7230 | 1.24474 | ||||||||
\(735\) | −6.97875 | + | 39.5785i | −0.257415 | + | 1.45987i | ||||
\(736\) | 7.29498 | + | 6.12122i | 0.268897 | + | 0.225631i | ||||
\(737\) | −41.3451 | + | 15.0484i | −1.52297 | + | 0.554314i | ||||
\(738\) | −9.40447 | − | 3.42295i | −0.346183 | − | 0.126000i | ||||
\(739\) | 3.18059 | 0.117000 | 0.0584999 | − | 0.998287i | \(-0.481368\pi\) | ||||
0.0584999 | + | 0.998287i | \(0.481368\pi\) | |||||||
\(740\) | −0.964102 | − | 11.3911i | −0.0354411 | − | 0.418746i | ||||
\(741\) | −0.419746 | −0.0154197 | ||||||||
\(742\) | 3.15416 | + | 1.14802i | 0.115793 | + | 0.0421452i | ||||
\(743\) | 49.7669 | − | 18.1137i | 1.82577 | − | 0.664527i | 0.831776 | − | 0.555112i | \(-0.187325\pi\) |
0.993996 | − | 0.109415i | \(-0.0348976\pi\) | |||||||
\(744\) | 17.3628 | + | 14.5691i | 0.636551 | + | 0.534130i | ||||
\(745\) | −4.04897 | + | 22.9629i | −0.148343 | + | 0.841295i | ||||
\(746\) | 31.4347 | 1.15091 | ||||||||
\(747\) | 0.200891 | − | 1.13931i | 0.00735020 | − | 0.0416851i | ||||
\(748\) | −7.42965 | − | 12.8685i | −0.271655 | − | 0.470520i | ||||
\(749\) | −25.9031 | + | 21.7353i | −0.946478 | + | 0.794189i | ||||
\(750\) | −13.2568 | + | 22.9615i | −0.484071 | + | 0.838436i | ||||
\(751\) | 3.21483 | + | 5.56825i | 0.117311 | + | 0.203188i | 0.918701 | − | 0.394954i | \(-0.129239\pi\) |
−0.801390 | + | 0.598142i | \(0.795906\pi\) | |||||||
\(752\) | 6.68542 | + | 2.43329i | 0.243792 | + | 0.0887331i | ||||
\(753\) | −2.93354 | − | 2.46153i | −0.106904 | − | 0.0897031i | ||||
\(754\) | −0.750829 | + | 1.30047i | −0.0273436 | + | 0.0473605i | ||||
\(755\) | 4.09536 | + | 23.2259i | 0.149045 | + | 0.845278i | ||||
\(756\) | 1.92911 | + | 10.9405i | 0.0701612 | + | 0.397904i | ||||
\(757\) | −24.3176 | + | 20.4049i | −0.883837 | + | 0.741627i | −0.966964 | − | 0.254912i | \(-0.917954\pi\) |
0.0831276 | + | 0.996539i | \(0.473509\pi\) | |||||||
\(758\) | −6.54676 | + | 2.38282i | −0.237789 | + | 0.0865481i | ||||
\(759\) | −65.2259 | + | 23.7403i | −2.36755 | + | 0.861718i | ||||
\(760\) | 0.142909 | − | 0.119915i | 0.00518384 | − | 0.00434976i | ||||
\(761\) | −4.00842 | − | 22.7329i | −0.145305 | − | 0.824065i | −0.967122 | − | 0.254314i | \(-0.918150\pi\) |
0.821817 | − | 0.569752i | \(-0.192961\pi\) | |||||||
\(762\) | −6.35454 | − | 36.0384i | −0.230201 | − | 1.30553i | ||||
\(763\) | −18.0051 | + | 31.1857i | −0.651827 | + | 1.12900i | ||||
\(764\) | 4.41676 | + | 3.70610i | 0.159793 | + | 0.134082i | ||||
\(765\) | 13.8014 | + | 5.02331i | 0.498992 | + | 0.181618i | ||||
\(766\) | 1.43864 | + | 2.49179i | 0.0519801 | + | 0.0900321i | ||||
\(767\) | −7.85096 | + | 13.5983i | −0.283482 | + | 0.491005i | ||||
\(768\) | 1.67088 | − | 1.40203i | 0.0602925 | − | 0.0505914i | ||||
\(769\) | −23.5799 | − | 40.8416i | −0.850312 | − | 1.47278i | −0.880926 | − | 0.473253i | \(-0.843080\pi\) |
0.0306140 | − | 0.999531i | \(-0.490254\pi\) | |||||||
\(770\) | 4.47060 | − | 25.3540i | 0.161109 | − | 0.913696i | ||||
\(771\) | −27.8188 | −1.00187 | ||||||||
\(772\) | −0.0624134 | + | 0.353964i | −0.00224631 | + | 0.0127394i | ||||
\(773\) | −3.06540 | − | 2.57218i | −0.110255 | − | 0.0925148i | 0.585994 | − | 0.810316i | \(-0.300704\pi\) |
−0.696248 | + | 0.717801i | \(0.745149\pi\) | |||||||
\(774\) | 1.84947 | − | 0.673152i | 0.0664778 | − | 0.0241960i | ||||
\(775\) | 14.3338 | + | 5.21707i | 0.514885 | + | 0.187403i | ||||
\(776\) | 3.62024 | 0.129959 | ||||||||
\(777\) | 49.2263 | + | 23.1245i | 1.76598 | + | 0.829587i | ||||
\(778\) | −11.8116 | −0.423467 | ||||||||
\(779\) | 0.531159 | + | 0.193326i | 0.0190308 | + | 0.00692663i | ||||
\(780\) | 7.46791 | − | 2.71810i | 0.267394 | − | 0.0973235i | ||||
\(781\) | −7.61108 | − | 6.38645i | −0.272346 | − | 0.228525i | ||||
\(782\) | 7.35300 | − | 41.7009i | 0.262943 | − | 1.49122i | ||||
\(783\) | −2.09916 | −0.0750179 | ||||||||
\(784\) | 1.70244 | − | 9.65502i | 0.0608014 | − | 0.344822i | ||||
\(785\) | 3.30138 | + | 5.71816i | 0.117831 | + | 0.204090i | ||||
\(786\) | 2.34535 | − | 1.96798i | 0.0836559 | − | 0.0701956i | ||||
\(787\) | −5.78344 | + | 10.0172i | −0.206157 | + | 0.357075i | −0.950501 | − | 0.310722i | \(-0.899429\pi\) |
0.744344 | + | 0.667797i | \(0.232763\pi\) | |||||||
\(788\) | −3.48300 | − | 6.03274i | −0.124077 | − | 0.214907i | ||||
\(789\) | 54.0387 | + | 19.6685i | 1.92383 | + | 0.700217i | ||||
\(790\) | 7.82564 | + | 6.56649i | 0.278424 | + | 0.233625i | ||||
\(791\) | 20.4490 | − | 35.4186i | 0.727081 | − | 1.25934i | ||||
\(792\) | 1.01987 | + | 5.78394i | 0.0362393 | + | 0.205523i | ||||
\(793\) | −3.60245 | − | 20.4305i | −0.127927 | − | 0.725509i | ||||
\(794\) | −23.9868 | + | 20.1273i | −0.851259 | + | 0.714291i | ||||
\(795\) | 3.15416 | − | 1.14802i | 0.111867 | − | 0.0407161i | ||||
\(796\) | −10.5038 | + | 3.82308i | −0.372298 | + | 0.135505i | ||||
\(797\) | −28.0792 | + | 23.5612i | −0.994615 | + | 0.834581i | −0.986229 | − | 0.165384i | \(-0.947114\pi\) |
−0.00838538 | + | 0.999965i | \(0.502669\pi\) | |||||||
\(798\) | 0.154119 | + | 0.874049i | 0.00545574 | + | 0.0309410i | ||||
\(799\) | −5.49335 | − | 31.1543i | −0.194341 | − | 1.10216i | ||||
\(800\) | 0.733956 | − | 1.27125i | 0.0259492 | − | 0.0449454i | ||||
\(801\) | 4.74613 | + | 3.98248i | 0.167696 | + | 0.140714i | ||||
\(802\) | 13.1821 | + | 4.79790i | 0.465477 | + | 0.169420i | ||||
\(803\) | 4.27309 | + | 7.40121i | 0.150794 | + | 0.261183i | ||||
\(804\) | −14.3590 | + | 24.8705i | −0.506403 | + | 0.877115i | ||||
\(805\) | 56.2012 | − | 47.1584i | 1.98083 | − | 1.66212i | ||||
\(806\) | −10.0729 | − | 17.4467i | −0.354802 | − | 0.614534i | ||||
\(807\) | 5.15328 | − | 29.2257i | 0.181404 | − | 1.02879i | ||||
\(808\) | 3.94811 | 0.138894 | ||||||||
\(809\) | −1.35385 | + | 7.67809i | −0.0475990 | + | 0.269947i | −0.999314 | − | 0.0370359i | \(-0.988208\pi\) |
0.951715 | + | 0.306983i | \(0.0993195\pi\) | |||||||
\(810\) | 16.1011 | + | 13.5104i | 0.565734 | + | 0.474707i | ||||
\(811\) | 27.9730 | − | 10.1813i | 0.982265 | − | 0.357515i | 0.199545 | − | 0.979889i | \(-0.436054\pi\) |
0.782720 | + | 0.622374i | \(0.213832\pi\) | |||||||
\(812\) | 2.98370 | + | 1.08598i | 0.104707 | + | 0.0381104i | ||||
\(813\) | −9.41372 | −0.330154 | ||||||||
\(814\) | −18.3982 | − | 8.64272i | −0.644856 | − | 0.302927i | ||||
\(815\) | 4.49443 | 0.157433 | ||||||||
\(816\) | −9.11381 | − | 3.31716i | −0.319047 | − | 0.116124i | ||||
\(817\) | −0.104457 | + | 0.0380192i | −0.00365449 | + | 0.00133012i | ||||
\(818\) | −0.0621032 | − | 0.0521107i | −0.00217139 | − | 0.00182201i | ||||
\(819\) | −2.42539 | + | 13.7551i | −0.0847501 | + | 0.480642i | ||||
\(820\) | −10.7020 | −0.373731 | ||||||||
\(821\) | 6.80968 | − | 38.6196i | 0.237659 | − | 1.34783i | −0.599281 | − | 0.800539i | \(-0.704547\pi\) |
0.836940 | − | 0.547294i | \(-0.184342\pi\) | |||||||
\(822\) | −13.5443 | − | 23.4594i | −0.472411 | − | 0.818240i | ||||
\(823\) | −9.28031 | + | 7.78710i | −0.323491 | + | 0.271441i | −0.790042 | − | 0.613053i | \(-0.789941\pi\) |
0.466550 | + | 0.884495i | \(0.345497\pi\) | |||||||
\(824\) | 0.989402 | − | 1.71369i | 0.0344674 | − | 0.0596994i | ||||
\(825\) | 5.34975 | + | 9.26604i | 0.186254 | + | 0.322602i | ||||
\(826\) | 31.1987 | + | 11.3554i | 1.08554 | + | 0.395105i | ||||
\(827\) | −10.7589 | − | 9.02779i | −0.374124 | − | 0.313927i | 0.436267 | − | 0.899817i | \(-0.356300\pi\) |
−0.810390 | + | 0.585890i | \(0.800745\pi\) | |||||||
\(828\) | −8.36833 | + | 14.4944i | −0.290820 | + | 0.503714i | ||||
\(829\) | 5.56767 | + | 31.5758i | 0.193373 | + | 1.09667i | 0.914716 | + | 0.404096i | \(0.132414\pi\) |
−0.721343 | + | 0.692578i | \(0.756475\pi\) | |||||||
\(830\) | −0.214821 | − | 1.21831i | −0.00745655 | − | 0.0422882i | ||||
\(831\) | −5.83710 | + | 4.89791i | −0.202487 | + | 0.169907i | ||||
\(832\) | −1.82177 | + | 0.663070i | −0.0631585 | + | 0.0229878i | ||||
\(833\) | −40.9649 | + | 14.9100i | −1.41935 | + | 0.516601i | ||||
\(834\) | 30.7434 | − | 25.7968i | 1.06456 | − | 0.893269i | ||||
\(835\) | 5.08586 | + | 28.8433i | 0.176003 | + | 0.998165i | ||||
\(836\) | −0.0576014 | − | 0.326674i | −0.00199219 | − | 0.0112982i | ||||
\(837\) | 14.0808 | − | 24.3887i | 0.486704 | − | 0.842996i | ||||
\(838\) | 3.55146 | + | 2.98003i | 0.122683 | + | 0.102944i | ||||
\(839\) | 10.3875 | + | 3.78073i | 0.358616 | + | 0.130525i | 0.515044 | − | 0.857164i | \(-0.327776\pi\) |
−0.156428 | + | 0.987689i | \(0.549998\pi\) | |||||||
\(840\) | −8.40198 | − | 14.5527i | −0.289896 | − | 0.502114i | ||||
\(841\) | 14.2000 | − | 24.5951i | 0.489656 | − | 0.848109i | ||||
\(842\) | −14.8017 | + | 12.4201i | −0.510099 | + | 0.428024i | ||||
\(843\) | 8.00245 | + | 13.8607i | 0.275619 | + | 0.477386i | ||||
\(844\) | −2.12029 | + | 12.0248i | −0.0729834 | + | 0.413909i | ||||
\(845\) | 17.3683 | 0.597489 | ||||||||
\(846\) | −2.17126 | + | 12.3138i | −0.0746494 | + | 0.423358i | ||||
\(847\) | −0.525338 | − | 0.440811i | −0.0180508 | − | 0.0151464i | ||||
\(848\) | −0.769446 | + | 0.280056i | −0.0264229 | + | 0.00961715i | ||||
\(849\) | −28.7007 | − | 10.4462i | −0.985007 | − | 0.358513i | ||||
\(850\) | −6.52715 | −0.223880 | ||||||||
\(851\) | −24.3317 | − | 52.5676i | −0.834080 | − | 1.80199i | ||||
\(852\) | −6.48497 | −0.222172 | ||||||||
\(853\) | −48.0604 | − | 17.4925i | −1.64556 | − | 0.598933i | −0.657558 | − | 0.753404i | \(-0.728411\pi\) |
−0.987997 | + | 0.154471i | \(0.950633\pi\) | |||||||
\(854\) | −41.2204 | + | 15.0030i | −1.41053 | + | 0.513392i | ||||
\(855\) | 0.251164 | + | 0.210751i | 0.00858962 | + | 0.00720755i | ||||
\(856\) | 1.43239 | − | 8.12350i | 0.0489581 | − | 0.277655i | ||||
\(857\) | −11.4315 | −0.390493 | −0.195246 | − | 0.980754i | \(-0.562551\pi\) | ||||
−0.195246 | + | 0.980754i | \(0.562551\pi\) | |||||||
\(858\) | 2.45381 | − | 13.9163i | 0.0837718 | − | 0.475094i | ||||
\(859\) | 5.49634 | + | 9.51995i | 0.187533 | + | 0.324816i | 0.944427 | − | 0.328721i | \(-0.106618\pi\) |
−0.756894 | + | 0.653537i | \(0.773284\pi\) | |||||||
\(860\) | 1.61225 | − | 1.35284i | 0.0549773 | − | 0.0461314i | ||||
\(861\) | 25.4575 | − | 44.0937i | 0.867590 | − | 1.50271i | ||||
\(862\) | −3.77086 | − | 6.53132i | −0.128436 | − | 0.222458i | ||||
\(863\) | 14.1266 | + | 5.14167i | 0.480876 | + | 0.175024i | 0.571073 | − | 0.820899i | \(-0.306527\pi\) |
−0.0901969 | + | 0.995924i | \(0.528750\pi\) | |||||||
\(864\) | −2.07604 | − | 1.74200i | −0.0706283 | − | 0.0592642i | ||||
\(865\) | −16.7991 | + | 29.0968i | −0.571185 | + | 0.989322i | ||||
\(866\) | 5.18060 | + | 29.3806i | 0.176044 | + | 0.998395i | ||||
\(867\) | 1.04987 | + | 5.95412i | 0.0356555 | + | 0.202213i | ||||
\(868\) | −32.6314 | + | 27.3810i | −1.10758 | + | 0.929371i | ||||
\(869\) | 17.0691 | − | 6.21263i | 0.579028 | − | 0.210749i | ||||
\(870\) | 2.98370 | − | 1.08598i | 0.101157 | − | 0.0368181i | ||||
\(871\) | 19.5535 | − | 16.4074i | 0.662546 | − | 0.555942i | ||||
\(872\) | −1.52542 | − | 8.65108i | −0.0516572 | − | 0.292962i | ||||
\(873\) | 1.10486 | + | 6.26596i | 0.0373938 | + | 0.212071i | ||||
\(874\) | 0.472638 | − | 0.818634i | 0.0159872 | − | 0.0276907i | ||||
\(875\) | −38.1715 | − | 32.0297i | −1.29043 | − | 1.08280i | ||||
\(876\) | 5.24172 | + | 1.90783i | 0.177101 | + | 0.0644596i | ||||
\(877\) | 14.7236 | + | 25.5020i | 0.497180 | + | 0.861141i | 0.999995 | − | 0.00325344i | \(-0.00103560\pi\) |
−0.502815 | + | 0.864394i | \(0.667702\pi\) | |||||||
\(878\) | −10.9771 | + | 19.0128i | −0.370458 | + | 0.641652i | ||||
\(879\) | −42.2309 | + | 35.4360i | −1.42441 | + | 1.19523i | ||||
\(880\) | 3.14022 | + | 5.43902i | 0.105857 | + | 0.183349i | ||||
\(881\) | 3.19146 | − | 18.0997i | 0.107523 | − | 0.609793i | −0.882660 | − | 0.470013i | \(-0.844249\pi\) |
0.990183 | − | 0.139780i | \(-0.0446396\pi\) | |||||||
\(882\) | 17.2306 | 0.580184 | ||||||||
\(883\) | 5.06999 | − | 28.7534i | 0.170619 | − | 0.967628i | −0.772461 | − | 0.635062i | \(-0.780975\pi\) |
0.943080 | − | 0.332566i | \(-0.107914\pi\) | |||||||
\(884\) | 6.60367 | + | 5.54114i | 0.222106 | + | 0.186369i | ||||
\(885\) | 31.1987 | − | 11.3554i | 1.04873 | − | 0.381708i | ||||
\(886\) | 32.5360 | + | 11.8421i | 1.09307 | + | 0.397844i | ||||
\(887\) | −36.5446 | −1.22705 | −0.613524 | − | 0.789676i | \(-0.710249\pi\) | ||||
−0.613524 | + | 0.789676i | \(0.710249\pi\) | |||||||
\(888\) | −12.8251 | + | 3.39760i | −0.430384 | + | 0.114016i | ||||
\(889\) | 68.7749 | 2.30664 | ||||||||
\(890\) | 6.22571 | + | 2.26597i | 0.208686 | + | 0.0759556i | ||||
\(891\) | 35.1192 | − | 12.7823i | 1.17654 | − | 0.428225i | ||||
\(892\) | −8.23845 | − | 6.91288i | −0.275844 | − | 0.231460i | ||||
\(893\) | 0.122631 | − | 0.695478i | 0.00410371 | − | 0.0232733i | ||||
\(894\) | 27.0613 | 0.905066 | ||||||||
\(895\) | 6.65963 | − | 37.7686i | 0.222607 | − | 1.26247i | ||||
\(896\) | 2.04963 | + | 3.55007i | 0.0684734 | + | 0.118599i | ||||
\(897\) | 30.8476 | − | 25.8842i | 1.02997 | − | 0.864249i | ||||
\(898\) | 9.97070 | − | 17.2698i | 0.332727 | − | 0.576299i | ||||
\(899\) | −4.02448 | − | 6.97060i | −0.134224 | − | 0.232482i | ||||
\(900\) | 2.42429 | + | 0.882369i | 0.0808096 | + | 0.0294123i | ||||
\(901\) | 2.78914 | + | 2.34037i | 0.0929198 | + | 0.0779689i | ||||
\(902\) | −9.51468 | + | 16.4799i | −0.316804 | + | 0.548721i | ||||
\(903\) | 1.73872 | + | 9.86076i | 0.0578609 | + | 0.328145i | ||||
\(904\) | 1.73247 | + | 9.82533i | 0.0576211 | + | 0.326785i | ||||
\(905\) | 26.3125 | − | 22.0788i | 0.874656 | − | 0.733923i | ||||
\(906\) | 25.7206 | − | 9.36154i | 0.854510 | − | 0.311016i | ||||
\(907\) | −17.1239 | + | 6.23258i | −0.568589 | + | 0.206949i | −0.610286 | − | 0.792181i | \(-0.708946\pi\) |
0.0416975 | + | 0.999130i | \(0.486723\pi\) | |||||||
\(908\) | −2.27152 | + | 1.90603i | −0.0753832 | + | 0.0632540i | ||||
\(909\) | 1.20492 | + | 6.83345i | 0.0399647 | + | 0.226651i | ||||
\(910\) | 2.59358 | + | 14.7089i | 0.0859763 | + | 0.487596i | ||||
\(911\) | 26.2373 | − | 45.4443i | 0.869280 | − | 1.50564i | 0.00654696 | − | 0.999979i | \(-0.497916\pi\) |
0.862733 | − | 0.505659i | \(-0.168751\pi\) | |||||||
\(912\) | −0.165857 | − | 0.139170i | −0.00549206 | − | 0.00460839i | ||||
\(913\) | −2.06705 | − | 0.752344i | −0.0684093 | − | 0.0248990i | ||||
\(914\) | −16.1194 | − | 27.9196i | −0.533183 | − | 0.923499i | ||||
\(915\) | −21.9329 | + | 37.9889i | −0.725080 | + | 1.25588i | ||||
\(916\) | −2.32313 | + | 1.94933i | −0.0767582 | + | 0.0644078i | ||||
\(917\) | 2.87700 | + | 4.98311i | 0.0950068 | + | 0.164557i | ||||
\(918\) | −2.09255 | + | 11.8674i | −0.0690645 | + | 0.391684i | ||||
\(919\) | −44.3955 | −1.46447 | −0.732236 | − | 0.681051i | \(-0.761523\pi\) | ||||
−0.732236 | + | 0.681051i | \(0.761523\pi\) | |||||||
\(920\) | −3.10782 | + | 17.6253i | −0.102462 | + | 0.581090i | ||||
\(921\) | −41.1020 | − | 34.4887i | −1.35436 | − | 1.13644i | ||||
\(922\) | −6.88626 | + | 2.50640i | −0.226787 | + | 0.0825437i | ||||
\(923\) | 5.41641 | + | 1.97141i | 0.178283 | + | 0.0648898i | ||||
\(924\) | −29.8793 | −0.982955 | ||||||||
\(925\) | −7.32864 | + | 5.10071i | −0.240964 | + | 0.167710i | ||||
\(926\) | 6.48631 | 0.213153 | ||||||||
\(927\) | 3.26804 | + | 1.18947i | 0.107336 | + | 0.0390673i | ||||
\(928\) | −0.727863 | + | 0.264920i | −0.0238933 | + | 0.00869644i | ||||
\(929\) | 22.9234 | + | 19.2350i | 0.752092 | + | 0.631080i | 0.936055 | − | 0.351853i | \(-0.114448\pi\) |
−0.183963 | + | 0.982933i | \(0.558893\pi\) | |||||||
\(930\) | −7.39693 | + | 41.9501i | −0.242555 | + | 1.37560i | ||||
\(931\) | −0.973173 | −0.0318945 | ||||||||
\(932\) | −0.0501507 | + | 0.284419i | −0.00164274 | + | 0.00931644i | ||||
\(933\) | −5.67884 | − | 9.83605i | −0.185917 | − | 0.322018i | ||||
\(934\) | −9.18162 | + | 7.70429i | −0.300432 | + | 0.252092i | ||||
\(935\) | 13.9632 | − | 24.1849i | 0.456644 | − | 0.790931i | ||||
\(936\) | −1.70363 | − | 2.95078i | −0.0556850 | − | 0.0964492i | ||||
\(937\) | −9.34478 | − | 3.40122i | −0.305281 | − | 0.111113i | 0.184837 | − | 0.982769i | \(-0.440824\pi\) |
−0.490118 | + | 0.871656i | \(0.663046\pi\) | |||||||
\(938\) | −41.3451 | − | 34.6926i | −1.34996 | − | 1.13275i | ||||
\(939\) | −7.89191 | + | 13.6692i | −0.257543 | + | 0.446077i | ||||
\(940\) | 2.32182 | + | 13.1677i | 0.0757295 | + | 0.429483i | ||||
\(941\) | 2.14576 | + | 12.1692i | 0.0699497 | + | 0.396704i | 0.999601 | + | 0.0282626i | \(0.00899747\pi\) |
−0.929651 | + | 0.368442i | \(0.879891\pi\) | |||||||
\(942\) | 5.87021 | − | 4.92569i | 0.191262 | − | 0.160488i | ||||
\(943\) | −50.9573 | + | 18.5469i | −1.65940 | + | 0.603971i | ||||
\(944\) | −7.61082 | + | 2.77011i | −0.247711 | + | 0.0901594i | ||||
\(945\) | −15.9940 | + | 13.4206i | −0.520285 | + | 0.436571i | ||||
\(946\) | −0.649841 | − | 3.68543i | −0.0211282 | − | 0.119824i | ||||
\(947\) | −4.86165 | − | 27.5718i | −0.157982 | − | 0.895962i | −0.956008 | − | 0.293339i | \(-0.905233\pi\) |
0.798026 | − | 0.602623i | \(-0.205878\pi\) | |||||||
\(948\) | 5.92803 | − | 10.2676i | 0.192533 | − | 0.333477i | ||||
\(949\) | −3.79804 | − | 3.18693i | −0.123290 | − | 0.103452i | ||||
\(950\) | −0.136922 | − | 0.0498357i | −0.00444235 | − | 0.00161688i | ||||
\(951\) | 14.5583 | + | 25.2156i | 0.472084 | + | 0.817673i | ||||
\(952\) | 9.11381 | − | 15.7856i | 0.295380 | − | 0.511614i | ||||
\(953\) | 33.5552 | − | 28.1562i | 1.08696 | − | 0.912068i | 0.0904798 | − | 0.995898i | \(-0.471160\pi\) |
0.996480 | + | 0.0838307i | \(0.0267155\pi\) | |||||||
\(954\) | −0.719550 | − | 1.24630i | −0.0232963 | − | 0.0403504i | ||||
\(955\) | −1.88164 | + | 10.6713i | −0.0608884 | + | 0.345315i | ||||
\(956\) | −5.03510 | −0.162847 | ||||||||
\(957\) | 0.980388 | − | 5.56006i | 0.0316914 | − | 0.179731i | ||||
\(958\) | 17.3832 | + | 14.5863i | 0.561627 | + | 0.471261i | ||||
\(959\) | 47.8396 | − | 17.4122i | 1.54482 | − | 0.562269i | ||||
\(960\) | 3.85205 | + | 1.40203i | 0.124324 | + | 0.0452503i | ||||
\(961\) | 76.9820 | 2.48329 | ||||||||
\(962\) | 11.7447 | + | 1.06105i | 0.378665 | + | 0.0342096i | ||||
\(963\) | 14.4974 | 0.467172 | ||||||||
\(964\) | 16.3281 | + | 5.94293i | 0.525892 | + | 0.191409i | ||||
\(965\) | −0.634759 | + | 0.231033i | −0.0204336 | + | 0.00743723i | ||||
\(966\) | −65.2259 | − | 54.7310i | −2.09861 | − | 1.76094i | ||||
\(967\) | −9.60416 | + | 54.4679i | −0.308849 | + | 1.75157i | 0.295961 | + | 0.955200i | \(0.404360\pi\) |
−0.604810 | + | 0.796370i | \(0.706751\pi\) | |||||||
\(968\) | 0.167293 | 0.00537702 | ||||||||
\(969\) | −0.167176 | + | 0.948100i | −0.00537046 | + | 0.0304574i | ||||
\(970\) | 3.40192 | + | 5.89229i | 0.109229 | + | 0.189190i | ||||
\(971\) | −42.2703 | + | 35.4690i | −1.35652 | + | 1.13825i | −0.379477 | + | 0.925201i | \(0.623896\pi\) |
−0.977041 | + | 0.213053i | \(0.931659\pi\) | |||||||
\(972\) | 8.13166 | − | 14.0844i | 0.260823 | − | 0.451759i | ||||
\(973\) | 37.7123 | + | 65.3197i | 1.20900 | + | 2.09405i | ||||
\(974\) | −11.5684 | − | 4.21055i | −0.370675 | − | 0.134915i | ||||
\(975\) | −4.75501 | − | 3.98992i | −0.152282 | − | 0.127780i | ||||
\(976\) | 5.35046 | − | 9.26726i | 0.171264 | − | 0.296638i | ||||
\(977\) | −4.43401 | − | 25.1465i | −0.141857 | − | 0.804509i | −0.969837 | − | 0.243753i | \(-0.921621\pi\) |
0.827981 | − | 0.560757i | \(-0.189490\pi\) | |||||||
\(978\) | −0.905773 | − | 5.13689i | −0.0289634 | − | 0.164260i | ||||
\(979\) | 9.02433 | − | 7.57232i | 0.288419 | − | 0.242012i | ||||
\(980\) | 17.3142 | − | 6.30186i | 0.553083 | − | 0.201306i | ||||
\(981\) | 14.5079 | − | 5.28043i | 0.463200 | − | 0.168591i | ||||
\(982\) | 0.881561 | − | 0.739718i | 0.0281318 | − | 0.0236053i | ||||
\(983\) | −5.43056 | − | 30.7982i | −0.173208 | − | 0.982311i | −0.940192 | − | 0.340645i | \(-0.889355\pi\) |
0.766984 | − | 0.641666i | \(-0.221757\pi\) | |||||||
\(984\) | 2.15680 | + | 12.2318i | 0.0687563 | + | 0.389937i | ||||
\(985\) | 6.54591 | − | 11.3378i | 0.208570 | − | 0.361254i | ||||
\(986\) | 2.63841 | + | 2.21389i | 0.0840240 | + | 0.0705045i | ||||
\(987\) | −59.7757 | − | 21.7566i | −1.90268 | − | 0.692519i | ||||
\(988\) | 0.0962202 | + | 0.166658i | 0.00306117 | + | 0.00530210i | ||||
\(989\) | 5.33216 | − | 9.23557i | 0.169553 | − | 0.293674i | ||||
\(990\) | −8.45556 | + | 7.09506i | −0.268735 | + | 0.225496i | ||||
\(991\) | 3.80674 | + | 6.59347i | 0.120925 | + | 0.209448i | 0.920133 | − | 0.391607i | \(-0.128081\pi\) |
−0.799208 | + | 0.601055i | \(0.794747\pi\) | |||||||
\(992\) | 1.80445 | − | 10.2336i | 0.0572915 | − | 0.324916i | ||||
\(993\) | −9.97478 | −0.316540 | ||||||||
\(994\) | 2.11638 | − | 12.0026i | 0.0671276 | − | 0.380699i | ||||
\(995\) | −16.0928 | − | 13.5035i | −0.510176 | − | 0.428088i | ||||
\(996\) | −1.34917 | + | 0.491058i | −0.0427501 | + | 0.0155598i | ||||
\(997\) | −14.6618 | − | 5.33644i | −0.464342 | − | 0.169007i | 0.0992454 | − | 0.995063i | \(-0.468357\pi\) |
−0.563588 | + | 0.826056i | \(0.690579\pi\) | |||||||
\(998\) | 27.9156 | 0.883653 | ||||||||
\(999\) | 6.92443 | + | 14.9599i | 0.219079 | + | 0.473311i |
(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.53.1 | yes | 12 | |
3.2 | odd | 2 | 666.2.x.g.127.1 | 12 | |||
4.3 | odd | 2 | 592.2.bc.d.497.2 | 12 | |||
37.7 | even | 9 | inner | 74.2.f.b.7.1 | ✓ | 12 | |
37.9 | even | 9 | 2738.2.a.t.1.5 | 6 | |||
37.28 | even | 18 | 2738.2.a.q.1.5 | 6 | |||
111.44 | odd | 18 | 666.2.x.g.451.1 | 12 | |||
148.7 | odd | 18 | 592.2.bc.d.81.2 | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
74.2.f.b.7.1 | ✓ | 12 | 37.7 | even | 9 | inner | |
74.2.f.b.53.1 | yes | 12 | 1.1 | even | 1 | trivial | |
592.2.bc.d.81.2 | 12 | 148.7 | odd | 18 | |||
592.2.bc.d.497.2 | 12 | 4.3 | odd | 2 | |||
666.2.x.g.127.1 | 12 | 3.2 | odd | 2 | |||
666.2.x.g.451.1 | 12 | 111.44 | odd | 18 | |||
2738.2.a.q.1.5 | 6 | 37.28 | even | 18 | |||
2738.2.a.t.1.5 | 6 | 37.9 | even | 9 |