Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [403,2,Mod(94,403)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(403, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("403.94");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 403 = 13 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 403.f (of order \(3\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.21797120146\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{3})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 94.10 | ||
Character | \(\chi\) | \(=\) | 403.94 |
Dual form | 403.2.f.c.373.10 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).
\(n\) | \(249\) | \(313\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0496225 | − | 0.0859486i | −0.0350884 | − | 0.0607748i | 0.847948 | − | 0.530080i | \(-0.177838\pi\) |
−0.883036 | + | 0.469305i | \(0.844505\pi\) | |||||||
\(3\) | 0.816280 | + | 1.41384i | 0.471280 | + | 0.816280i | 0.999460 | − | 0.0328518i | \(-0.0104589\pi\) |
−0.528181 | + | 0.849132i | \(0.677126\pi\) | |||||||
\(4\) | 0.995075 | − | 1.72352i | 0.497538 | − | 0.861760i | ||||
\(5\) | −0.352370 | −0.157584 | −0.0787922 | − | 0.996891i | \(-0.525106\pi\) | ||||
−0.0787922 | + | 0.996891i | \(0.525106\pi\) | |||||||
\(6\) | 0.0810117 | − | 0.140316i | 0.0330729 | − | 0.0572839i | ||||
\(7\) | 2.05703 | − | 3.56288i | 0.777483 | − | 1.34664i | −0.155905 | − | 0.987772i | \(-0.549829\pi\) |
0.933388 | − | 0.358868i | \(-0.116837\pi\) | |||||||
\(8\) | −0.396002 | −0.140008 | ||||||||
\(9\) | 0.167373 | − | 0.289899i | 0.0557910 | − | 0.0966328i | ||||
\(10\) | 0.0174854 | + | 0.0302857i | 0.00552938 | + | 0.00957717i | ||||
\(11\) | −2.45188 | − | 4.24678i | −0.739270 | − | 1.28045i | −0.952824 | − | 0.303522i | \(-0.901837\pi\) |
0.213554 | − | 0.976931i | \(-0.431496\pi\) | |||||||
\(12\) | 3.24904 | 0.937917 | ||||||||
\(13\) | −1.56626 | + | 3.24759i | −0.434401 | + | 0.900720i | ||||
\(14\) | −0.408299 | −0.109122 | ||||||||
\(15\) | −0.287632 | − | 0.498194i | −0.0742663 | − | 0.128633i | ||||
\(16\) | −1.97050 | − | 3.41301i | −0.492625 | − | 0.853251i | ||||
\(17\) | −1.84743 | + | 3.19985i | −0.448068 | + | 0.776077i | −0.998260 | − | 0.0589610i | \(-0.981221\pi\) |
0.550192 | + | 0.835038i | \(0.314555\pi\) | |||||||
\(18\) | −0.0332218 | −0.00783046 | ||||||||
\(19\) | 2.16903 | − | 3.75686i | 0.497609 | − | 0.861883i | −0.502388 | − | 0.864642i | \(-0.667545\pi\) |
0.999996 | + | 0.00275925i | \(0.000878298\pi\) | |||||||
\(20\) | −0.350634 | + | 0.607316i | −0.0784042 | + | 0.135800i | ||||
\(21\) | 6.71644 | 1.46565 | ||||||||
\(22\) | −0.243337 | + | 0.421472i | −0.0518796 | + | 0.0898580i | ||||
\(23\) | 2.83246 | + | 4.90596i | 0.590609 | + | 1.02296i | 0.994151 | + | 0.108003i | \(0.0344457\pi\) |
−0.403542 | + | 0.914961i | \(0.632221\pi\) | |||||||
\(24\) | −0.323249 | − | 0.559883i | −0.0659829 | − | 0.114286i | ||||
\(25\) | −4.87584 | −0.975167 | ||||||||
\(26\) | 0.356847 | − | 0.0265360i | 0.0699835 | − | 0.00520413i | ||||
\(27\) | 5.44417 | 1.04773 | ||||||||
\(28\) | −4.09379 | − | 7.09066i | −0.773654 | − | 1.34001i | ||||
\(29\) | 3.66951 | + | 6.35578i | 0.681411 | + | 1.18024i | 0.974550 | + | 0.224169i | \(0.0719668\pi\) |
−0.293139 | + | 0.956070i | \(0.594700\pi\) | |||||||
\(30\) | −0.0285460 | + | 0.0494432i | −0.00521177 | + | 0.00902705i | ||||
\(31\) | 1.00000 | 0.179605 | ||||||||
\(32\) | −0.591564 | + | 1.02462i | −0.104575 | + | 0.181129i | ||||
\(33\) | 4.00285 | − | 6.93313i | 0.696806 | − | 1.20690i | ||||
\(34\) | 0.366697 | 0.0628880 | ||||||||
\(35\) | −0.724834 | + | 1.25545i | −0.122519 | + | 0.212210i | ||||
\(36\) | −0.333097 | − | 0.576942i | −0.0555162 | − | 0.0961569i | ||||
\(37\) | 4.65608 | + | 8.06456i | 0.765454 | + | 1.32581i | 0.940006 | + | 0.341158i | \(0.110819\pi\) |
−0.174552 | + | 0.984648i | \(0.555848\pi\) | |||||||
\(38\) | −0.430529 | −0.0698411 | ||||||||
\(39\) | −5.87007 | + | 0.436512i | −0.939964 | + | 0.0698978i | ||||
\(40\) | 0.139539 | 0.0220631 | ||||||||
\(41\) | 3.57804 | + | 6.19735i | 0.558796 | + | 0.967864i | 0.997597 | + | 0.0692795i | \(0.0220700\pi\) |
−0.438801 | + | 0.898584i | \(0.644597\pi\) | |||||||
\(42\) | −0.333286 | − | 0.577269i | −0.0514272 | − | 0.0890745i | ||||
\(43\) | 0.204002 | − | 0.353341i | 0.0311100 | − | 0.0538841i | −0.850051 | − | 0.526700i | \(-0.823429\pi\) |
0.881161 | + | 0.472816i | \(0.156762\pi\) | |||||||
\(44\) | −9.75923 | −1.47126 | ||||||||
\(45\) | −0.0589771 | + | 0.102151i | −0.00879179 | + | 0.0152278i | ||||
\(46\) | 0.281107 | − | 0.486892i | 0.0414470 | − | 0.0717883i | ||||
\(47\) | 5.39075 | 0.786321 | 0.393161 | − | 0.919470i | \(-0.371382\pi\) | ||||
0.393161 | + | 0.919470i | \(0.371382\pi\) | |||||||
\(48\) | 3.21696 | − | 5.57194i | 0.464328 | − | 0.804240i | ||||
\(49\) | −4.96272 | − | 8.59569i | −0.708960 | − | 1.22796i | ||||
\(50\) | 0.241951 | + | 0.419071i | 0.0342170 | + | 0.0592656i | ||||
\(51\) | −6.03209 | −0.844662 | ||||||||
\(52\) | 4.03875 | + | 5.93107i | 0.560074 | + | 0.822491i | ||||
\(53\) | −7.56811 | −1.03956 | −0.519780 | − | 0.854300i | \(-0.673986\pi\) | ||||
−0.519780 | + | 0.854300i | \(0.673986\pi\) | |||||||
\(54\) | −0.270153 | − | 0.467919i | −0.0367632 | − | 0.0636757i | ||||
\(55\) | 0.863968 | + | 1.49644i | 0.116497 | + | 0.201780i | ||||
\(56\) | −0.814587 | + | 1.41091i | −0.108854 | + | 0.188540i | ||||
\(57\) | 7.08213 | 0.938051 | ||||||||
\(58\) | 0.364180 | − | 0.630779i | 0.0478192 | − | 0.0828253i | ||||
\(59\) | 0.912475 | − | 1.58045i | 0.118794 | − | 0.205757i | −0.800496 | − | 0.599338i | \(-0.795430\pi\) |
0.919290 | + | 0.393581i | \(0.128764\pi\) | |||||||
\(60\) | −1.14486 | −0.147801 | ||||||||
\(61\) | 4.33875 | − | 7.51494i | 0.555520 | − | 0.962189i | −0.442343 | − | 0.896846i | \(-0.645853\pi\) |
0.997863 | − | 0.0653429i | \(-0.0208141\pi\) | |||||||
\(62\) | −0.0496225 | − | 0.0859486i | −0.00630206 | − | 0.0109155i | ||||
\(63\) | −0.688582 | − | 1.19266i | −0.0867531 | − | 0.150261i | ||||
\(64\) | −7.76458 | −0.970572 | ||||||||
\(65\) | 0.551901 | − | 1.14435i | 0.0684548 | − | 0.141939i | ||||
\(66\) | −0.794524 | −0.0977991 | ||||||||
\(67\) | 5.65194 | + | 9.78945i | 0.690495 | + | 1.19597i | 0.971676 | + | 0.236317i | \(0.0759404\pi\) |
−0.281181 | + | 0.959655i | \(0.590726\pi\) | |||||||
\(68\) | 3.67667 | + | 6.36818i | 0.445862 | + | 0.772255i | ||||
\(69\) | −4.62416 | + | 8.00928i | −0.556684 | + | 0.964205i | ||||
\(70\) | 0.143872 | 0.0171960 | ||||||||
\(71\) | −1.13977 | + | 1.97414i | −0.135266 | + | 0.234288i | −0.925699 | − | 0.378261i | \(-0.876522\pi\) |
0.790433 | + | 0.612548i | \(0.209856\pi\) | |||||||
\(72\) | −0.0662801 | + | 0.114800i | −0.00781118 | + | 0.0135294i | ||||
\(73\) | −2.21345 | −0.259065 | −0.129532 | − | 0.991575i | \(-0.541348\pi\) | ||||
−0.129532 | + | 0.991575i | \(0.541348\pi\) | |||||||
\(74\) | 0.462092 | − | 0.800367i | 0.0537171 | − | 0.0930407i | ||||
\(75\) | −3.98005 | − | 6.89365i | −0.459576 | − | 0.796010i | ||||
\(76\) | −4.31669 | − | 7.47672i | −0.495158 | − | 0.857639i | ||||
\(77\) | −20.1743 | −2.29908 | ||||||||
\(78\) | 0.328805 | + | 0.482864i | 0.0372298 | + | 0.0546736i | ||||
\(79\) | 2.80577 | 0.315674 | 0.157837 | − | 0.987465i | \(-0.449548\pi\) | ||||
0.157837 | + | 0.987465i | \(0.449548\pi\) | |||||||
\(80\) | 0.694344 | + | 1.20264i | 0.0776300 | + | 0.134459i | ||||
\(81\) | 3.94185 | + | 6.82749i | 0.437984 | + | 0.758610i | ||||
\(82\) | 0.355103 | − | 0.615056i | 0.0392145 | − | 0.0679215i | ||||
\(83\) | −10.5846 | −1.16181 | −0.580905 | − | 0.813971i | \(-0.697301\pi\) | ||||
−0.580905 | + | 0.813971i | \(0.697301\pi\) | |||||||
\(84\) | 6.68337 | − | 11.5759i | 0.729215 | − | 1.26304i | ||||
\(85\) | 0.650979 | − | 1.12753i | 0.0706086 | − | 0.122298i | ||||
\(86\) | −0.0404923 | −0.00436639 | ||||||||
\(87\) | −5.99070 | + | 10.3762i | −0.642270 | + | 1.11245i | ||||
\(88\) | 0.970950 | + | 1.68174i | 0.103504 | + | 0.179274i | ||||
\(89\) | −6.24828 | − | 10.8223i | −0.662317 | − | 1.14717i | −0.980005 | − | 0.198971i | \(-0.936240\pi\) |
0.317689 | − | 0.948195i | \(-0.397093\pi\) | |||||||
\(90\) | 0.0117064 | 0.00123396 | ||||||||
\(91\) | 8.34893 | + | 12.2608i | 0.875206 | + | 1.28528i | ||||
\(92\) | 11.2740 | 1.17540 | ||||||||
\(93\) | 0.816280 | + | 1.41384i | 0.0846443 | + | 0.146608i | ||||
\(94\) | −0.267502 | − | 0.463327i | −0.0275907 | − | 0.0477885i | ||||
\(95\) | −0.764298 | + | 1.32380i | −0.0784154 | + | 0.135819i | ||||
\(96\) | −1.93153 | −0.197136 | ||||||||
\(97\) | 6.37242 | − | 11.0374i | 0.647021 | − | 1.12067i | −0.336810 | − | 0.941573i | \(-0.609348\pi\) |
0.983831 | − | 0.179101i | \(-0.0573187\pi\) | |||||||
\(98\) | −0.492525 | + | 0.853078i | −0.0497525 | + | 0.0861739i | ||||
\(99\) | −1.64151 | −0.164978 | ||||||||
\(100\) | −4.85182 | + | 8.40360i | −0.485182 | + | 0.840360i | ||||
\(101\) | −4.18621 | − | 7.25074i | −0.416544 | − | 0.721475i | 0.579045 | − | 0.815295i | \(-0.303425\pi\) |
−0.995589 | + | 0.0938202i | \(0.970092\pi\) | |||||||
\(102\) | 0.299327 | + | 0.518450i | 0.0296378 | + | 0.0513342i | ||||
\(103\) | −13.6121 | −1.34124 | −0.670620 | − | 0.741801i | \(-0.733972\pi\) | ||||
−0.670620 | + | 0.741801i | \(0.733972\pi\) | |||||||
\(104\) | 0.620240 | − | 1.28605i | 0.0608196 | − | 0.126108i | ||||
\(105\) | −2.36667 | −0.230963 | ||||||||
\(106\) | 0.375548 | + | 0.650468i | 0.0364765 | + | 0.0631791i | ||||
\(107\) | 6.88234 | + | 11.9206i | 0.665341 | + | 1.15240i | 0.979193 | + | 0.202932i | \(0.0650472\pi\) |
−0.313852 | + | 0.949472i | \(0.601619\pi\) | |||||||
\(108\) | 5.41736 | − | 9.38315i | 0.521286 | − | 0.902894i | ||||
\(109\) | 5.02812 | 0.481606 | 0.240803 | − | 0.970574i | \(-0.422589\pi\) | ||||
0.240803 | + | 0.970574i | \(0.422589\pi\) | |||||||
\(110\) | 0.0857445 | − | 0.148514i | 0.00817541 | − | 0.0141602i | ||||
\(111\) | −7.60133 | + | 13.1659i | −0.721486 | + | 1.24965i | ||||
\(112\) | −16.2135 | −1.53203 | ||||||||
\(113\) | −8.27244 | + | 14.3283i | −0.778206 | + | 1.34789i | 0.154769 | + | 0.987951i | \(0.450537\pi\) |
−0.932975 | + | 0.359941i | \(0.882797\pi\) | |||||||
\(114\) | −0.351433 | − | 0.608699i | −0.0329147 | − | 0.0570099i | ||||
\(115\) | −0.998073 | − | 1.72871i | −0.0930708 | − | 0.161203i | ||||
\(116\) | 14.6058 | 1.35611 | ||||||||
\(117\) | 0.679323 | + | 0.997614i | 0.0628034 | + | 0.0922294i | ||||
\(118\) | −0.181117 | −0.0166732 | ||||||||
\(119\) | 7.60044 | + | 13.1644i | 0.696731 | + | 1.20677i | ||||
\(120\) | 0.113903 | + | 0.197286i | 0.0103979 | + | 0.0180096i | ||||
\(121\) | −6.52345 | + | 11.2989i | −0.593041 | + | 1.02718i | ||||
\(122\) | −0.861198 | −0.0779692 | ||||||||
\(123\) | −5.84137 | + | 10.1176i | −0.526699 | + | 0.912269i | ||||
\(124\) | 0.995075 | − | 1.72352i | 0.0893604 | − | 0.154777i | ||||
\(125\) | 3.47994 | 0.311256 | ||||||||
\(126\) | −0.0683382 | + | 0.118365i | −0.00608805 | + | 0.0105448i | ||||
\(127\) | −6.05023 | − | 10.4793i | −0.536871 | − | 0.929888i | −0.999070 | − | 0.0431118i | \(-0.986273\pi\) |
0.462199 | − | 0.886776i | \(-0.347060\pi\) | |||||||
\(128\) | 1.56843 | + | 2.71659i | 0.138631 | + | 0.240115i | ||||
\(129\) | 0.666090 | 0.0586460 | ||||||||
\(130\) | −0.125742 | + | 0.00935047i | −0.0110283 | + | 0.000820090i | ||||
\(131\) | 1.16464 | 0.101755 | 0.0508777 | − | 0.998705i | \(-0.483798\pi\) | ||||
0.0508777 | + | 0.998705i | \(0.483798\pi\) | |||||||
\(132\) | −7.96626 | − | 13.7980i | −0.693374 | − | 1.20096i | ||||
\(133\) | −8.92349 | − | 15.4559i | −0.773765 | − | 1.34020i | ||||
\(134\) | 0.560926 | − | 0.971553i | 0.0484567 | − | 0.0839294i | ||||
\(135\) | −1.91836 | −0.165106 | ||||||||
\(136\) | 0.731588 | − | 1.26715i | 0.0627331 | − | 0.108657i | ||||
\(137\) | −2.64756 | + | 4.58571i | −0.226197 | + | 0.391784i | −0.956678 | − | 0.291149i | \(-0.905963\pi\) |
0.730481 | + | 0.682933i | \(0.239296\pi\) | |||||||
\(138\) | 0.917849 | 0.0781325 | ||||||||
\(139\) | −5.76270 | + | 9.98130i | −0.488786 | + | 0.846603i | −0.999917 | − | 0.0129005i | \(-0.995894\pi\) |
0.511131 | + | 0.859503i | \(0.329227\pi\) | |||||||
\(140\) | 1.44253 | + | 2.49853i | 0.121916 | + | 0.211165i | ||||
\(141\) | 4.40036 | + | 7.62165i | 0.370577 | + | 0.641858i | ||||
\(142\) | 0.226233 | 0.0189851 | ||||||||
\(143\) | 17.6321 | − | 1.31116i | 1.47447 | − | 0.109645i | ||||
\(144\) | −1.31923 | −0.109936 | ||||||||
\(145\) | −1.29302 | − | 2.23958i | −0.107380 | − | 0.185987i | ||||
\(146\) | 0.109837 | + | 0.190243i | 0.00909016 | + | 0.0157446i | ||||
\(147\) | 8.10195 | − | 14.0330i | 0.668237 | − | 1.15742i | ||||
\(148\) | 18.5326 | 1.52337 | ||||||||
\(149\) | 7.26840 | − | 12.5892i | 0.595450 | − | 1.03135i | −0.398033 | − | 0.917371i | \(-0.630307\pi\) |
0.993483 | − | 0.113979i | \(-0.0363597\pi\) | |||||||
\(150\) | −0.395000 | + | 0.684159i | −0.0322516 | + | 0.0558614i | ||||
\(151\) | −5.58426 | −0.454441 | −0.227221 | − | 0.973843i | \(-0.572964\pi\) | ||||
−0.227221 | + | 0.973843i | \(0.572964\pi\) | |||||||
\(152\) | −0.858939 | + | 1.48773i | −0.0696691 | + | 0.120670i | ||||
\(153\) | 0.618421 | + | 1.07114i | 0.0499964 | + | 0.0865963i | ||||
\(154\) | 1.00110 | + | 1.73396i | 0.0806710 | + | 0.139726i | ||||
\(155\) | −0.352370 | −0.0283030 | ||||||||
\(156\) | −5.08883 | + | 10.5516i | −0.407432 | + | 0.844801i | ||||
\(157\) | 13.1500 | 1.04949 | 0.524743 | − | 0.851261i | \(-0.324162\pi\) | ||||
0.524743 | + | 0.851261i | \(0.324162\pi\) | |||||||
\(158\) | −0.139229 | − | 0.241152i | −0.0110765 | − | 0.0191850i | ||||
\(159\) | −6.17770 | − | 10.7001i | −0.489923 | − | 0.848572i | ||||
\(160\) | 0.208449 | − | 0.361045i | 0.0164794 | − | 0.0285431i | ||||
\(161\) | 23.3058 | 1.83675 | ||||||||
\(162\) | 0.391209 | − | 0.677594i | 0.0307363 | − | 0.0532368i | ||||
\(163\) | −2.02292 | + | 3.50380i | −0.158447 | + | 0.274439i | −0.934309 | − | 0.356464i | \(-0.883982\pi\) |
0.775862 | + | 0.630903i | \(0.217316\pi\) | |||||||
\(164\) | 14.2417 | 1.11209 | ||||||||
\(165\) | −1.41048 | + | 2.44302i | −0.109806 | + | 0.190189i | ||||
\(166\) | 0.525234 | + | 0.909732i | 0.0407661 | + | 0.0706089i | ||||
\(167\) | −3.16904 | − | 5.48894i | −0.245228 | − | 0.424747i | 0.716968 | − | 0.697106i | \(-0.245529\pi\) |
−0.962196 | + | 0.272359i | \(0.912196\pi\) | |||||||
\(168\) | −2.65973 | −0.205202 | ||||||||
\(169\) | −8.09369 | − | 10.1731i | −0.622592 | − | 0.782547i | ||||
\(170\) | −0.129213 | −0.00991017 | ||||||||
\(171\) | −0.726072 | − | 1.25759i | −0.0555241 | − | 0.0961706i | ||||
\(172\) | −0.405994 | − | 0.703203i | −0.0309568 | − | 0.0536187i | ||||
\(173\) | 9.95946 | − | 17.2503i | 0.757204 | − | 1.31152i | −0.187067 | − | 0.982347i | \(-0.559898\pi\) |
0.944271 | − | 0.329169i | \(-0.106768\pi\) | |||||||
\(174\) | 1.18909 | 0.0901449 | ||||||||
\(175\) | −10.0297 | + | 17.3720i | −0.758176 | + | 1.31320i | ||||
\(176\) | −9.66286 | + | 16.7366i | −0.728366 | + | 1.26157i | ||||
\(177\) | 2.97934 | 0.223941 | ||||||||
\(178\) | −0.620110 | + | 1.07406i | −0.0464792 | + | 0.0805044i | ||||
\(179\) | 8.97483 | + | 15.5449i | 0.670810 | + | 1.16188i | 0.977675 | + | 0.210124i | \(0.0673868\pi\) |
−0.306865 | + | 0.951753i | \(0.599280\pi\) | |||||||
\(180\) | 0.117373 | + | 0.203297i | 0.00874850 | + | 0.0151528i | ||||
\(181\) | 0.619124 | 0.0460191 | 0.0230095 | − | 0.999735i | \(-0.492675\pi\) | ||||
0.0230095 | + | 0.999735i | \(0.492675\pi\) | |||||||
\(182\) | 0.639500 | − | 1.32599i | 0.0474029 | − | 0.0982888i | ||||
\(183\) | 14.1665 | 1.04722 | ||||||||
\(184\) | −1.12166 | − | 1.94277i | −0.0826899 | − | 0.143223i | ||||
\(185\) | −1.64066 | − | 2.84171i | −0.120624 | − | 0.208926i | ||||
\(186\) | 0.0810117 | − | 0.140316i | 0.00594006 | − | 0.0102885i | ||||
\(187\) | 18.1188 | 1.32497 | ||||||||
\(188\) | 5.36420 | − | 9.29106i | 0.391224 | − | 0.677620i | ||||
\(189\) | 11.1988 | − | 19.3969i | 0.814594 | − | 1.41092i | ||||
\(190\) | 0.151705 | 0.0110059 | ||||||||
\(191\) | 3.40627 | − | 5.89983i | 0.246469 | − | 0.426897i | −0.716075 | − | 0.698024i | \(-0.754063\pi\) |
0.962544 | + | 0.271127i | \(0.0873963\pi\) | |||||||
\(192\) | −6.33807 | − | 10.9779i | −0.457411 | − | 0.792259i | ||||
\(193\) | −7.18157 | − | 12.4389i | −0.516941 | − | 0.895368i | −0.999806 | − | 0.0196735i | \(-0.993737\pi\) |
0.482865 | − | 0.875695i | \(-0.339596\pi\) | |||||||
\(194\) | −1.26486 | −0.0908117 | ||||||||
\(195\) | 2.06844 | − | 0.153813i | 0.148124 | − | 0.0110148i | ||||
\(196\) | −19.7531 | −1.41094 | ||||||||
\(197\) | −10.5955 | − | 18.3520i | −0.754902 | − | 1.30753i | −0.945423 | − | 0.325845i | \(-0.894351\pi\) |
0.190522 | − | 0.981683i | \(-0.438982\pi\) | |||||||
\(198\) | 0.0814560 | + | 0.141086i | 0.00578883 | + | 0.0100265i | ||||
\(199\) | 6.63839 | − | 11.4980i | 0.470583 | − | 0.815074i | −0.528851 | − | 0.848715i | \(-0.677377\pi\) |
0.999434 | + | 0.0336411i | \(0.0107103\pi\) | |||||||
\(200\) | 1.93084 | 0.136531 | ||||||||
\(201\) | −9.22714 | + | 15.9819i | −0.650832 | + | 1.12727i | ||||
\(202\) | −0.415460 | + | 0.719599i | −0.0292317 | + | 0.0506308i | ||||
\(203\) | 30.1931 | 2.11914 | ||||||||
\(204\) | −6.00239 | + | 10.3964i | −0.420251 | + | 0.727896i | ||||
\(205\) | −1.26079 | − | 2.18376i | −0.0880576 | − | 0.152520i | ||||
\(206\) | 0.675466 | + | 1.16994i | 0.0470619 | + | 0.0815137i | ||||
\(207\) | 1.89631 | 0.131803 | ||||||||
\(208\) | 14.1704 | − | 1.05374i | 0.982537 | − | 0.0730637i | ||||
\(209\) | −21.2728 | −1.47147 | ||||||||
\(210\) | 0.117440 | + | 0.203412i | 0.00810413 | + | 0.0140368i | ||||
\(211\) | −4.12132 | − | 7.13833i | −0.283723 | − | 0.491423i | 0.688575 | − | 0.725165i | \(-0.258236\pi\) |
−0.972299 | + | 0.233741i | \(0.924903\pi\) | |||||||
\(212\) | −7.53084 | + | 13.0438i | −0.517220 | + | 0.895851i | ||||
\(213\) | −3.72149 | −0.254992 | ||||||||
\(214\) | 0.683037 | − | 1.18306i | 0.0466915 | − | 0.0808720i | ||||
\(215\) | −0.0718840 | + | 0.124507i | −0.00490245 | + | 0.00849129i | ||||
\(216\) | −2.15590 | −0.146691 | ||||||||
\(217\) | 2.05703 | − | 3.56288i | 0.139640 | − | 0.241864i | ||||
\(218\) | −0.249508 | − | 0.432160i | −0.0168988 | − | 0.0292695i | ||||
\(219\) | −1.80679 | − | 3.12946i | −0.122092 | − | 0.211469i | ||||
\(220\) | 3.43885 | 0.231848 | ||||||||
\(221\) | −7.49825 | − | 11.0115i | −0.504387 | − | 0.740713i | ||||
\(222\) | 1.50879 | 0.101263 | ||||||||
\(223\) | −10.5719 | − | 18.3112i | −0.707950 | − | 1.22621i | −0.965616 | − | 0.259971i | \(-0.916287\pi\) |
0.257666 | − | 0.966234i | \(-0.417047\pi\) | |||||||
\(224\) | 2.43373 | + | 4.21534i | 0.162610 | + | 0.281649i | ||||
\(225\) | −0.816083 | + | 1.41350i | −0.0544055 | + | 0.0942332i | ||||
\(226\) | 1.64199 | 0.109224 | ||||||||
\(227\) | 5.50941 | − | 9.54257i | 0.365672 | − | 0.633363i | −0.623212 | − | 0.782053i | \(-0.714172\pi\) |
0.988884 | + | 0.148690i | \(0.0475058\pi\) | |||||||
\(228\) | 7.04725 | − | 12.2062i | 0.466716 | − | 0.808375i | ||||
\(229\) | 16.6985 | 1.10347 | 0.551735 | − | 0.834020i | \(-0.313966\pi\) | ||||
0.551735 | + | 0.834020i | \(0.313966\pi\) | |||||||
\(230\) | −0.0990536 | + | 0.171566i | −0.00653140 | + | 0.0113127i | ||||
\(231\) | −16.4679 | − | 28.5233i | −1.08351 | − | 1.87669i | ||||
\(232\) | −1.45313 | − | 2.51690i | −0.0954029 | − | 0.165243i | ||||
\(233\) | −24.5734 | −1.60986 | −0.804930 | − | 0.593370i | \(-0.797797\pi\) | ||||
−0.804930 | + | 0.593370i | \(0.797797\pi\) | |||||||
\(234\) | 0.0520339 | − | 0.107891i | 0.00340156 | − | 0.00705305i | ||||
\(235\) | −1.89953 | −0.123912 | ||||||||
\(236\) | −1.81596 | − | 3.14534i | −0.118209 | − | 0.204744i | ||||
\(237\) | 2.29030 | + | 3.96691i | 0.148771 | + | 0.257678i | ||||
\(238\) | 0.754305 | − | 1.30649i | 0.0488943 | − | 0.0846875i | ||||
\(239\) | −14.5666 | −0.942236 | −0.471118 | − | 0.882070i | \(-0.656149\pi\) | ||||
−0.471118 | + | 0.882070i | \(0.656149\pi\) | |||||||
\(240\) | −1.13356 | + | 1.96338i | −0.0731709 | + | 0.126736i | ||||
\(241\) | −14.7466 | + | 25.5418i | −0.949911 | + | 1.64529i | −0.204305 | + | 0.978907i | \(0.565494\pi\) |
−0.745606 | + | 0.666387i | \(0.767840\pi\) | |||||||
\(242\) | 1.29484 | 0.0832353 | ||||||||
\(243\) | 1.73095 | − | 2.99809i | 0.111040 | − | 0.192327i | ||||
\(244\) | −8.63477 | − | 14.9559i | −0.552784 | − | 0.957450i | ||||
\(245\) | 1.74871 | + | 3.02886i | 0.111721 | + | 0.193507i | ||||
\(246\) | 1.15945 | 0.0739240 | ||||||||
\(247\) | 8.80350 | + | 12.9283i | 0.560153 | + | 0.822609i | ||||
\(248\) | −0.396002 | −0.0251462 | ||||||||
\(249\) | −8.64000 | − | 14.9649i | −0.547538 | − | 0.948363i | ||||
\(250\) | −0.172683 | − | 0.299096i | −0.0109215 | − | 0.0189165i | ||||
\(251\) | −2.79829 | + | 4.84678i | −0.176627 | + | 0.305926i | −0.940723 | − | 0.339176i | \(-0.889852\pi\) |
0.764096 | + | 0.645102i | \(0.223185\pi\) | |||||||
\(252\) | −2.74076 | −0.172652 | ||||||||
\(253\) | 13.8897 | − | 24.0577i | 0.873239 | − | 1.51249i | ||||
\(254\) | −0.600454 | + | 1.04002i | −0.0376759 | + | 0.0652565i | ||||
\(255\) | 2.12553 | 0.133106 | ||||||||
\(256\) | −7.60892 | + | 13.1790i | −0.475558 | + | 0.823690i | ||||
\(257\) | 9.86636 | + | 17.0890i | 0.615446 | + | 1.06598i | 0.990306 | + | 0.138903i | \(0.0443576\pi\) |
−0.374860 | + | 0.927082i | \(0.622309\pi\) | |||||||
\(258\) | −0.0330530 | − | 0.0572496i | −0.00205779 | − | 0.00356420i | ||||
\(259\) | 38.3107 | 2.38051 | ||||||||
\(260\) | −1.42313 | − | 2.08993i | −0.0882589 | − | 0.129612i | ||||
\(261\) | 2.45671 | 0.152066 | ||||||||
\(262\) | −0.0577925 | − | 0.100100i | −0.00357043 | − | 0.00618417i | ||||
\(263\) | 11.4419 | + | 19.8179i | 0.705536 | + | 1.22202i | 0.966498 | + | 0.256676i | \(0.0826272\pi\) |
−0.260961 | + | 0.965349i | \(0.584039\pi\) | |||||||
\(264\) | −1.58514 | + | 2.74553i | −0.0975583 | + | 0.168976i | ||||
\(265\) | 2.66677 | 0.163818 | ||||||||
\(266\) | −0.885611 | + | 1.53392i | −0.0543003 | + | 0.0940508i | ||||
\(267\) | 10.2007 | − | 17.6681i | 0.624273 | − | 1.08127i | ||||
\(268\) | 22.4964 | 1.37419 | ||||||||
\(269\) | −6.35221 | + | 11.0024i | −0.387301 | + | 0.670825i | −0.992086 | − | 0.125564i | \(-0.959926\pi\) |
0.604784 | + | 0.796389i | \(0.293259\pi\) | |||||||
\(270\) | 0.0951938 | + | 0.164881i | 0.00579331 | + | 0.0100343i | ||||
\(271\) | −4.72337 | − | 8.18111i | −0.286924 | − | 0.496967i | 0.686150 | − | 0.727460i | \(-0.259299\pi\) |
−0.973074 | + | 0.230493i | \(0.925966\pi\) | |||||||
\(272\) | 14.5615 | 0.882919 | ||||||||
\(273\) | −10.5197 | + | 21.8123i | −0.636679 | + | 1.32014i | ||||
\(274\) | 0.525514 | 0.0317475 | ||||||||
\(275\) | 11.9550 | + | 20.7066i | 0.720912 | + | 1.24866i | ||||
\(276\) | 9.20278 | + | 15.9397i | 0.553942 | + | 0.959456i | ||||
\(277\) | −11.4413 | + | 19.8169i | −0.687441 | + | 1.19068i | 0.285222 | + | 0.958461i | \(0.407933\pi\) |
−0.972663 | + | 0.232221i | \(0.925401\pi\) | |||||||
\(278\) | 1.14384 | 0.0686029 | ||||||||
\(279\) | 0.167373 | − | 0.289899i | 0.0100204 | − | 0.0173558i | ||||
\(280\) | 0.287036 | − | 0.497160i | 0.0171537 | − | 0.0297110i | ||||
\(281\) | 3.84201 | 0.229195 | 0.114597 | − | 0.993412i | \(-0.463442\pi\) | ||||
0.114597 | + | 0.993412i | \(0.463442\pi\) | |||||||
\(282\) | 0.436713 | − | 0.756410i | 0.0260059 | − | 0.0450435i | ||||
\(283\) | 12.6961 | + | 21.9903i | 0.754706 | + | 1.30719i | 0.945520 | + | 0.325564i | \(0.105554\pi\) |
−0.190814 | + | 0.981626i | \(0.561113\pi\) | |||||||
\(284\) | 2.26832 | + | 3.92884i | 0.134600 | + | 0.233134i | ||||
\(285\) | −2.49553 | −0.147822 | ||||||||
\(286\) | −0.987640 | − | 1.45039i | −0.0584004 | − | 0.0857634i | ||||
\(287\) | 29.4405 | 1.73782 | ||||||||
\(288\) | 0.198024 | + | 0.342987i | 0.0116687 | + | 0.0202107i | ||||
\(289\) | 1.67398 | + | 2.89942i | 0.0984693 | + | 0.170554i | ||||
\(290\) | −0.128326 | + | 0.222267i | −0.00753557 | + | 0.0130520i | ||||
\(291\) | 20.8067 | 1.21971 | ||||||||
\(292\) | −2.20255 | + | 3.81493i | −0.128894 | + | 0.223252i | ||||
\(293\) | −9.13112 | + | 15.8156i | −0.533446 | + | 0.923955i | 0.465791 | + | 0.884895i | \(0.345770\pi\) |
−0.999237 | + | 0.0390606i | \(0.987563\pi\) | |||||||
\(294\) | −1.60815 | −0.0937894 | ||||||||
\(295\) | −0.321528 | + | 0.556904i | −0.0187201 | + | 0.0324242i | ||||
\(296\) | −1.84382 | − | 3.19358i | −0.107170 | − | 0.185623i | ||||
\(297\) | −13.3485 | − | 23.1202i | −0.774557 | − | 1.34157i | ||||
\(298\) | −1.44270 | −0.0835735 | ||||||||
\(299\) | −20.3689 | + | 1.51468i | −1.17797 | + | 0.0875961i | ||||
\(300\) | −15.8418 | −0.914626 | ||||||||
\(301\) | −0.839274 | − | 1.45367i | −0.0483750 | − | 0.0837879i | ||||
\(302\) | 0.277105 | + | 0.479960i | 0.0159456 | + | 0.0276186i | ||||
\(303\) | 6.83425 | − | 11.8373i | 0.392617 | − | 0.680033i | ||||
\(304\) | −17.0963 | −0.980538 | ||||||||
\(305\) | −1.52884 | + | 2.64803i | −0.0875413 | + | 0.151626i | ||||
\(306\) | 0.0613751 | − | 0.106305i | 0.00350858 | − | 0.00607704i | ||||
\(307\) | 10.0238 | 0.572091 | 0.286046 | − | 0.958216i | \(-0.407659\pi\) | ||||
0.286046 | + | 0.958216i | \(0.407659\pi\) | |||||||
\(308\) | −20.0750 | + | 34.7709i | −1.14388 | + | 1.98126i | ||||
\(309\) | −11.1113 | − | 19.2453i | −0.632099 | − | 1.09483i | ||||
\(310\) | 0.0174854 | + | 0.0302857i | 0.000993106 | + | 0.00172011i | ||||
\(311\) | −17.2019 | −0.975430 | −0.487715 | − | 0.873003i | \(-0.662169\pi\) | ||||
−0.487715 | + | 0.873003i | \(0.662169\pi\) | |||||||
\(312\) | 2.32456 | − | 0.172860i | 0.131602 | − | 0.00978625i | ||||
\(313\) | 15.1598 | 0.856884 | 0.428442 | − | 0.903569i | \(-0.359063\pi\) | ||||
0.428442 | + | 0.903569i | \(0.359063\pi\) | |||||||
\(314\) | −0.652536 | − | 1.13023i | −0.0368247 | − | 0.0637823i | ||||
\(315\) | 0.242635 | + | 0.420257i | 0.0136709 | + | 0.0236788i | ||||
\(316\) | 2.79195 | − | 4.83580i | 0.157060 | − | 0.272035i | ||||
\(317\) | 1.96316 | 0.110262 | 0.0551311 | − | 0.998479i | \(-0.482442\pi\) | ||||
0.0551311 | + | 0.998479i | \(0.482442\pi\) | |||||||
\(318\) | −0.613105 | + | 1.06193i | −0.0343812 | + | 0.0595500i | ||||
\(319\) | 17.9944 | − | 31.1672i | 1.00749 | − | 1.74503i | ||||
\(320\) | 2.73600 | 0.152947 | ||||||||
\(321\) | −11.2358 | + | 19.4610i | −0.627123 | + | 1.08621i | ||||
\(322\) | −1.15649 | − | 2.00310i | −0.0644487 | − | 0.111628i | ||||
\(323\) | 8.01426 | + | 13.8811i | 0.445925 | + | 0.772365i | ||||
\(324\) | 15.6898 | 0.871654 | ||||||||
\(325\) | 7.63680 | − | 15.8347i | 0.423614 | − | 0.878352i | ||||
\(326\) | 0.401529 | 0.0222387 | ||||||||
\(327\) | 4.10435 | + | 7.10895i | 0.226971 | + | 0.393126i | ||||
\(328\) | −1.41691 | − | 2.45416i | −0.0782359 | − | 0.135509i | ||||
\(329\) | 11.0889 | − | 19.2066i | 0.611352 | − | 1.05889i | ||||
\(330\) | 0.279966 | 0.0154116 | ||||||||
\(331\) | −8.23538 | + | 14.2641i | −0.452658 | + | 0.784026i | −0.998550 | − | 0.0538291i | \(-0.982857\pi\) |
0.545892 | + | 0.837855i | \(0.316191\pi\) | |||||||
\(332\) | −10.5325 | + | 18.2428i | −0.578045 | + | 1.00120i | ||||
\(333\) | 3.11721 | 0.170822 | ||||||||
\(334\) | −0.314511 | + | 0.544749i | −0.0172093 | + | 0.0298074i | ||||
\(335\) | −1.99157 | − | 3.44950i | −0.108811 | − | 0.188467i | ||||
\(336\) | −13.2348 | − | 22.9233i | −0.722015 | − | 1.25057i | ||||
\(337\) | −16.6551 | −0.907261 | −0.453631 | − | 0.891190i | \(-0.649871\pi\) | ||||
−0.453631 | + | 0.891190i | \(0.649871\pi\) | |||||||
\(338\) | −0.472736 | + | 1.20046i | −0.0257134 | + | 0.0652962i | ||||
\(339\) | −27.0105 | −1.46701 | ||||||||
\(340\) | −1.29555 | − | 2.24395i | −0.0702609 | − | 0.121695i | ||||
\(341\) | −2.45188 | − | 4.24678i | −0.132777 | − | 0.229976i | ||||
\(342\) | −0.0720590 | + | 0.124810i | −0.00389650 | + | 0.00674894i | ||||
\(343\) | −12.0354 | −0.649853 | ||||||||
\(344\) | −0.0807851 | + | 0.139924i | −0.00435564 | + | 0.00754419i | ||||
\(345\) | 1.62941 | − | 2.82223i | 0.0877247 | − | 0.151944i | ||||
\(346\) | −1.97685 | −0.106276 | ||||||||
\(347\) | 10.0623 | − | 17.4284i | 0.540172 | − | 0.935605i | −0.458722 | − | 0.888580i | \(-0.651693\pi\) |
0.998894 | − | 0.0470250i | \(-0.0149740\pi\) | |||||||
\(348\) | 11.9224 | + | 20.6502i | 0.639107 | + | 1.10697i | ||||
\(349\) | 3.14554 | + | 5.44824i | 0.168377 | + | 0.291638i | 0.937849 | − | 0.347042i | \(-0.112814\pi\) |
−0.769472 | + | 0.638680i | \(0.779481\pi\) | |||||||
\(350\) | 1.99080 | 0.106413 | ||||||||
\(351\) | −8.52697 | + | 17.6805i | −0.455136 | + | 0.943713i | ||||
\(352\) | 5.80178 | 0.309236 | ||||||||
\(353\) | −6.91104 | − | 11.9703i | −0.367838 | − | 0.637113i | 0.621390 | − | 0.783502i | \(-0.286568\pi\) |
−0.989227 | + | 0.146388i | \(0.953235\pi\) | |||||||
\(354\) | −0.147842 | − | 0.256070i | −0.00785773 | − | 0.0136100i | ||||
\(355\) | 0.401621 | − | 0.695628i | 0.0213158 | − | 0.0369201i | ||||
\(356\) | −24.8701 | −1.31811 | ||||||||
\(357\) | −12.4082 | + | 21.4916i | −0.656711 | + | 1.13746i | ||||
\(358\) | 0.890706 | − | 1.54275i | 0.0470753 | − | 0.0815368i | ||||
\(359\) | −26.4579 | −1.39640 | −0.698198 | − | 0.715905i | \(-0.746014\pi\) | ||||
−0.698198 | + | 0.715905i | \(0.746014\pi\) | |||||||
\(360\) | 0.0233551 | − | 0.0404522i | 0.00123092 | − | 0.00213202i | ||||
\(361\) | 0.0906591 | + | 0.157026i | 0.00477153 | + | 0.00826454i | ||||
\(362\) | −0.0307224 | − | 0.0532128i | −0.00161473 | − | 0.00279680i | ||||
\(363\) | −21.2998 | −1.11795 | ||||||||
\(364\) | 29.4395 | − | 2.18919i | 1.54305 | − | 0.114745i | ||||
\(365\) | 0.779952 | 0.0408246 | ||||||||
\(366\) | −0.702979 | − | 1.21759i | −0.0367453 | − | 0.0636447i | ||||
\(367\) | −1.32802 | − | 2.30020i | −0.0693222 | − | 0.120070i | 0.829281 | − | 0.558832i | \(-0.188750\pi\) |
−0.898603 | + | 0.438762i | \(0.855417\pi\) | |||||||
\(368\) | 11.1627 | − | 19.3344i | 0.581897 | − | 1.00788i | ||||
\(369\) | 2.39547 | 0.124703 | ||||||||
\(370\) | −0.162827 | + | 0.282025i | −0.00846498 | + | 0.0146618i | ||||
\(371\) | −15.5678 | + | 26.9642i | −0.808240 | + | 1.39991i | ||||
\(372\) | 3.24904 | 0.168455 | ||||||||
\(373\) | −4.42392 | + | 7.66245i | −0.229062 | + | 0.396747i | −0.957530 | − | 0.288332i | \(-0.906899\pi\) |
0.728468 | + | 0.685079i | \(0.240232\pi\) | |||||||
\(374\) | −0.899097 | − | 1.55728i | −0.0464912 | − | 0.0805251i | ||||
\(375\) | 2.84061 | + | 4.92008i | 0.146688 | + | 0.254072i | ||||
\(376\) | −2.13475 | −0.110091 | ||||||||
\(377\) | −26.3884 | + | 1.96230i | −1.35907 | + | 0.101063i | ||||
\(378\) | −2.22285 | −0.114331 | ||||||||
\(379\) | 15.2744 | + | 26.4561i | 0.784594 | + | 1.35896i | 0.929241 | + | 0.369473i | \(0.120462\pi\) |
−0.144647 | + | 0.989483i | \(0.546205\pi\) | |||||||
\(380\) | 1.52107 | + | 2.63457i | 0.0780292 | + | 0.135151i | ||||
\(381\) | 9.87737 | − | 17.1081i | 0.506033 | − | 0.876474i | ||||
\(382\) | −0.676110 | −0.0345928 | ||||||||
\(383\) | 4.01794 | − | 6.95927i | 0.205307 | − | 0.355602i | −0.744923 | − | 0.667150i | \(-0.767514\pi\) |
0.950231 | + | 0.311548i | \(0.100847\pi\) | |||||||
\(384\) | −2.56055 | + | 4.43500i | −0.130668 | + | 0.226323i | ||||
\(385\) | 7.10883 | 0.362299 | ||||||||
\(386\) | −0.712735 | + | 1.23449i | −0.0362772 | + | 0.0628340i | ||||
\(387\) | −0.0682888 | − | 0.118280i | −0.00347131 | − | 0.00601249i | ||||
\(388\) | −12.6821 | − | 21.9660i | −0.643835 | − | 1.11515i | ||||
\(389\) | −4.97958 | −0.252475 | −0.126237 | − | 0.992000i | \(-0.540290\pi\) | ||||
−0.126237 | + | 0.992000i | \(0.540290\pi\) | |||||||
\(390\) | −0.115861 | − | 0.170147i | −0.00586684 | − | 0.00861570i | ||||
\(391\) | −20.9311 | −1.05853 | ||||||||
\(392\) | 1.96525 | + | 3.40391i | 0.0992600 | + | 0.171923i | ||||
\(393\) | 0.950676 | + | 1.64662i | 0.0479553 | + | 0.0830609i | ||||
\(394\) | −1.05155 | + | 1.82135i | −0.0529765 | + | 0.0917581i | ||||
\(395\) | −0.988668 | −0.0497453 | ||||||||
\(396\) | −1.63343 | + | 2.82919i | −0.0820830 | + | 0.142172i | ||||
\(397\) | −12.8080 | + | 22.1841i | −0.642815 | + | 1.11339i | 0.341986 | + | 0.939705i | \(0.388900\pi\) |
−0.984802 | + | 0.173684i | \(0.944433\pi\) | |||||||
\(398\) | −1.31765 | −0.0660480 | ||||||||
\(399\) | 14.5681 | − | 25.2327i | 0.729319 | − | 1.26322i | ||||
\(400\) | 9.60783 | + | 16.6413i | 0.480392 | + | 0.832063i | ||||
\(401\) | −2.37139 | − | 4.10737i | −0.118422 | − | 0.205112i | 0.800721 | − | 0.599038i | \(-0.204450\pi\) |
−0.919142 | + | 0.393926i | \(0.871117\pi\) | |||||||
\(402\) | 1.83149 | 0.0913465 | ||||||||
\(403\) | −1.56626 | + | 3.24759i | −0.0780207 | + | 0.161774i | ||||
\(404\) | −16.6624 | −0.828985 | ||||||||
\(405\) | −1.38899 | − | 2.40580i | −0.0690194 | − | 0.119545i | ||||
\(406\) | −1.49826 | − | 2.59506i | −0.0743573 | − | 0.128791i | ||||
\(407\) | 22.8323 | − | 39.5467i | 1.13176 | − | 1.96026i | ||||
\(408\) | 2.38872 | 0.118259 | ||||||||
\(409\) | −13.6325 | + | 23.6121i | −0.674082 | + | 1.16754i | 0.302655 | + | 0.953100i | \(0.402127\pi\) |
−0.976736 | + | 0.214443i | \(0.931206\pi\) | |||||||
\(410\) | −0.125127 | + | 0.216727i | −0.00617960 | + | 0.0107034i | ||||
\(411\) | −8.64461 | −0.426407 | ||||||||
\(412\) | −13.5451 | + | 23.4607i | −0.667317 | + | 1.15583i | ||||
\(413\) | −3.75397 | − | 6.50207i | −0.184721 | − | 0.319946i | ||||
\(414\) | −0.0940995 | − | 0.162985i | −0.00462474 | − | 0.00801028i | ||||
\(415\) | 3.72969 | 0.183083 | ||||||||
\(416\) | −2.40100 | − | 3.52597i | −0.117719 | − | 0.172875i | ||||
\(417\) | −18.8159 | −0.921420 | ||||||||
\(418\) | 1.05561 | + | 1.82837i | 0.0516314 | + | 0.0894283i | ||||
\(419\) | 0.725822 | + | 1.25716i | 0.0354587 | + | 0.0614163i | 0.883210 | − | 0.468977i | \(-0.155377\pi\) |
−0.847751 | + | 0.530394i | \(0.822044\pi\) | |||||||
\(420\) | −2.35501 | + | 4.07901i | −0.114913 | + | 0.199035i | ||||
\(421\) | −25.1206 | −1.22430 | −0.612151 | − | 0.790741i | \(-0.709696\pi\) | ||||
−0.612151 | + | 0.790741i | \(0.709696\pi\) | |||||||
\(422\) | −0.409020 | + | 0.708443i | −0.0199108 | + | 0.0344865i | ||||
\(423\) | 0.902265 | − | 1.56277i | 0.0438696 | − | 0.0759844i | ||||
\(424\) | 2.99699 | 0.145547 | ||||||||
\(425\) | 9.00778 | − | 15.6019i | 0.436942 | − | 0.756805i | ||||
\(426\) | 0.184670 | + | 0.319857i | 0.00894727 | + | 0.0154971i | ||||
\(427\) | −17.8499 | − | 30.9169i | −0.863815 | − | 1.49617i | ||||
\(428\) | 27.3938 | 1.32413 | ||||||||
\(429\) | 16.2465 | + | 23.8587i | 0.784388 | + | 1.15191i | ||||
\(430\) | 0.0142682 | 0.000688076 | ||||||||
\(431\) | −13.4969 | − | 23.3773i | −0.650122 | − | 1.12605i | −0.983093 | − | 0.183108i | \(-0.941384\pi\) |
0.332970 | − | 0.942937i | \(-0.391949\pi\) | |||||||
\(432\) | −10.7277 | − | 18.5810i | −0.516139 | − | 0.893979i | ||||
\(433\) | 7.86090 | − | 13.6155i | 0.377771 | − | 0.654318i | −0.612967 | − | 0.790109i | \(-0.710024\pi\) |
0.990738 | + | 0.135791i | \(0.0433574\pi\) | |||||||
\(434\) | −0.408299 | −0.0195990 | ||||||||
\(435\) | 2.11094 | − | 3.65626i | 0.101212 | − | 0.175304i | ||||
\(436\) | 5.00336 | − | 8.66607i | 0.239617 | − | 0.415029i | ||||
\(437\) | 24.5747 | 1.17557 | ||||||||
\(438\) | −0.179315 | + | 0.310583i | −0.00856801 | + | 0.0148402i | ||||
\(439\) | 0.868774 | + | 1.50476i | 0.0414643 | + | 0.0718183i | 0.886013 | − | 0.463661i | \(-0.153464\pi\) |
−0.844548 | + | 0.535479i | \(0.820131\pi\) | |||||||
\(440\) | −0.342133 | − | 0.592592i | −0.0163106 | − | 0.0282507i | ||||
\(441\) | −3.32250 | −0.158214 | ||||||||
\(442\) | −0.574341 | + | 1.19088i | −0.0273186 | + | 0.0566444i | ||||
\(443\) | −32.5863 | −1.54822 | −0.774110 | − | 0.633051i | \(-0.781802\pi\) | ||||
−0.774110 | + | 0.633051i | \(0.781802\pi\) | |||||||
\(444\) | 15.1278 | + | 26.2021i | 0.717933 | + | 1.24350i | ||||
\(445\) | 2.20171 | + | 3.81347i | 0.104371 | + | 0.180776i | ||||
\(446\) | −1.04921 | + | 1.81729i | −0.0496816 | + | 0.0860511i | ||||
\(447\) | 23.7322 | 1.12249 | ||||||||
\(448\) | −15.9720 | + | 27.6642i | −0.754604 | + | 1.30701i | ||||
\(449\) | −12.4043 | + | 21.4850i | −0.585397 | + | 1.01394i | 0.409429 | + | 0.912342i | \(0.365728\pi\) |
−0.994826 | + | 0.101595i | \(0.967605\pi\) | |||||||
\(450\) | 0.161984 | 0.00763601 | ||||||||
\(451\) | 17.5459 | − | 30.3903i | 0.826203 | − | 1.43103i | ||||
\(452\) | 16.4634 | + | 28.5154i | 0.774373 | + | 1.34125i | ||||
\(453\) | −4.55833 | − | 7.89525i | −0.214169 | − | 0.370951i | ||||
\(454\) | −1.09356 | −0.0513234 | ||||||||
\(455\) | −2.94191 | − | 4.32032i | −0.137919 | − | 0.202540i | ||||
\(456\) | −2.80454 | −0.131335 | ||||||||
\(457\) | −15.5717 | − | 26.9710i | −0.728414 | − | 1.26165i | −0.957553 | − | 0.288257i | \(-0.906924\pi\) |
0.229139 | − | 0.973394i | \(-0.426409\pi\) | |||||||
\(458\) | −0.828622 | − | 1.43522i | −0.0387190 | − | 0.0670632i | ||||
\(459\) | −10.0578 | + | 17.4205i | −0.469456 | + | 0.813121i | ||||
\(460\) | −3.97263 | −0.185225 | ||||||||
\(461\) | 7.49383 | − | 12.9797i | 0.349022 | − | 0.604525i | −0.637054 | − | 0.770819i | \(-0.719847\pi\) |
0.986076 | + | 0.166295i | \(0.0531804\pi\) | |||||||
\(462\) | −1.63436 | + | 2.83079i | −0.0760372 | + | 0.131700i | ||||
\(463\) | −19.3711 | −0.900250 | −0.450125 | − | 0.892965i | \(-0.648621\pi\) | ||||
−0.450125 | + | 0.892965i | \(0.648621\pi\) | |||||||
\(464\) | 14.4615 | − | 25.0481i | 0.671360 | − | 1.16283i | ||||
\(465\) | −0.287632 | − | 0.498194i | −0.0133386 | − | 0.0231032i | ||||
\(466\) | 1.21939 | + | 2.11205i | 0.0564874 | + | 0.0978390i | ||||
\(467\) | 34.8122 | 1.61091 | 0.805457 | − | 0.592654i | \(-0.201920\pi\) | ||||
0.805457 | + | 0.592654i | \(0.201920\pi\) | |||||||
\(468\) | 2.39539 | − | 0.178126i | 0.110727 | − | 0.00823389i | ||||
\(469\) | 46.5048 | 2.14739 | ||||||||
\(470\) | 0.0942596 | + | 0.163262i | 0.00434787 | + | 0.00753073i | ||||
\(471\) | 10.7341 | + | 18.5920i | 0.494601 | + | 0.856674i | ||||
\(472\) | −0.361342 | + | 0.625863i | −0.0166321 | + | 0.0288077i | ||||
\(473\) | −2.00075 | −0.0919947 | ||||||||
\(474\) | 0.227300 | − | 0.393695i | 0.0104402 | − | 0.0180830i | ||||
\(475\) | −10.5758 | + | 18.3178i | −0.485251 | + | 0.840480i | ||||
\(476\) | 30.2520 | 1.38660 | ||||||||
\(477\) | −1.26670 | + | 2.19398i | −0.0579981 | + | 0.100456i | ||||
\(478\) | 0.722831 | + | 1.25198i | 0.0330615 | + | 0.0572642i | ||||
\(479\) | 4.02171 | + | 6.96581i | 0.183757 | + | 0.318276i | 0.943157 | − | 0.332348i | \(-0.107841\pi\) |
−0.759400 | + | 0.650624i | \(0.774507\pi\) | |||||||
\(480\) | 0.680612 | 0.0310655 | ||||||||
\(481\) | −33.4830 | + | 2.48987i | −1.52669 | + | 0.113528i | ||||
\(482\) | 2.92705 | 0.133323 | ||||||||
\(483\) | 19.0241 | + | 32.9506i | 0.865625 | + | 1.49931i | ||||
\(484\) | 12.9826 | + | 22.4866i | 0.590120 | + | 1.02212i | ||||
\(485\) | −2.24545 | + | 3.88923i | −0.101960 | + | 0.176601i | ||||
\(486\) | −0.343575 | −0.0155849 | ||||||||
\(487\) | 12.6859 | − | 21.9727i | 0.574854 | − | 0.995677i | −0.421203 | − | 0.906966i | \(-0.638392\pi\) |
0.996057 | − | 0.0887106i | \(-0.0282746\pi\) | |||||||
\(488\) | −1.71815 | + | 2.97593i | −0.0777772 | + | 0.134714i | ||||
\(489\) | −6.60509 | −0.298692 | ||||||||
\(490\) | 0.173551 | − | 0.300599i | 0.00784023 | − | 0.0135797i | ||||
\(491\) | −13.7249 | − | 23.7723i | −0.619398 | − | 1.07283i | −0.989596 | − | 0.143875i | \(-0.954044\pi\) |
0.370198 | − | 0.928953i | \(-0.379290\pi\) | |||||||
\(492\) | 11.6252 | + | 20.1355i | 0.524105 | + | 0.907776i | ||||
\(493\) | −27.1167 | −1.22128 | ||||||||
\(494\) | 0.674319 | − | 1.39818i | 0.0303390 | − | 0.0629072i | ||||
\(495\) | 0.578420 | 0.0259980 | ||||||||
\(496\) | −1.97050 | − | 3.41301i | −0.0884781 | − | 0.153248i | ||||
\(497\) | 4.68908 | + | 8.12173i | 0.210334 | + | 0.364309i | ||||
\(498\) | −0.857476 | + | 1.48519i | −0.0384244 | + | 0.0665531i | ||||
\(499\) | 20.8686 | 0.934207 | 0.467103 | − | 0.884203i | \(-0.345298\pi\) | ||||
0.467103 | + | 0.884203i | \(0.345298\pi\) | |||||||
\(500\) | 3.46281 | − | 5.99776i | 0.154861 | − | 0.268228i | ||||
\(501\) | 5.17365 | − | 8.96103i | 0.231142 | − | 0.400349i | ||||
\(502\) | 0.555433 | 0.0247902 | ||||||||
\(503\) | 0.230372 | − | 0.399016i | 0.0102718 | − | 0.0177912i | −0.860844 | − | 0.508869i | \(-0.830064\pi\) |
0.871116 | + | 0.491078i | \(0.163397\pi\) | |||||||
\(504\) | 0.272680 | + | 0.472295i | 0.0121461 | + | 0.0210377i | ||||
\(505\) | 1.47509 | + | 2.55494i | 0.0656409 | + | 0.113693i | ||||
\(506\) | −2.75697 | −0.122562 | ||||||||
\(507\) | 7.77642 | − | 19.7473i | 0.345363 | − | 0.877008i | ||||
\(508\) | −24.0817 | −1.06845 | ||||||||
\(509\) | 8.64425 | + | 14.9723i | 0.383150 | + | 0.663635i | 0.991511 | − | 0.130026i | \(-0.0415060\pi\) |
−0.608361 | + | 0.793660i | \(0.708173\pi\) | |||||||
\(510\) | −0.105474 | − | 0.182686i | −0.00467046 | − | 0.00808947i | ||||
\(511\) | −4.55313 | + | 7.88624i | −0.201418 | + | 0.348867i | ||||
\(512\) | 7.78400 | 0.344007 | ||||||||
\(513\) | 11.8086 | − | 20.4530i | 0.521360 | − | 0.903023i | ||||
\(514\) | 0.979186 | − | 1.69600i | 0.0431900 | − | 0.0748073i | ||||
\(515\) | 4.79649 | 0.211359 | ||||||||
\(516\) | 0.662810 | − | 1.14802i | 0.0291786 | − | 0.0505388i | ||||
\(517\) | −13.2175 | − | 22.8933i | −0.581304 | − | 1.00685i | ||||
\(518\) | −1.90107 | − | 3.29275i | −0.0835283 | − | 0.144675i | ||||
\(519\) | 32.5189 | 1.42742 | ||||||||
\(520\) | −0.218554 | + | 0.453166i | −0.00958422 | + | 0.0198726i | ||||
\(521\) | 27.3044 | 1.19623 | 0.598114 | − | 0.801411i | \(-0.295917\pi\) | ||||
0.598114 | + | 0.801411i | \(0.295917\pi\) | |||||||
\(522\) | −0.121908 | − | 0.211151i | −0.00533576 | − | 0.00924181i | ||||
\(523\) | 3.98893 | + | 6.90903i | 0.174424 | + | 0.302111i | 0.939962 | − | 0.341280i | \(-0.110860\pi\) |
−0.765538 | + | 0.643391i | \(0.777527\pi\) | |||||||
\(524\) | 1.15891 | − | 2.00729i | 0.0506271 | − | 0.0876888i | ||||
\(525\) | −32.7483 | −1.42925 | ||||||||
\(526\) | 1.13555 | − | 1.96683i | 0.0495122 | − | 0.0857577i | ||||
\(527\) | −1.84743 | + | 3.19985i | −0.0804755 | + | 0.139388i | ||||
\(528\) | −31.5504 | −1.37306 | ||||||||
\(529\) | −4.54566 | + | 7.87332i | −0.197637 | + | 0.342318i | ||||
\(530\) | −0.132332 | − | 0.229205i | −0.00574812 | − | 0.00995604i | ||||
\(531\) | −0.305447 | − | 0.529050i | −0.0132553 | − | 0.0229588i | ||||
\(532\) | −35.5182 | −1.53991 | ||||||||
\(533\) | −25.7306 | + | 1.91338i | −1.11452 | + | 0.0828779i | ||||
\(534\) | −2.02474 | −0.0876189 | ||||||||
\(535\) | −2.42513 | − | 4.20044i | −0.104847 | − | 0.181601i | ||||
\(536\) | −2.23818 | − | 3.87664i | −0.0966747 | − | 0.167445i | ||||
\(537\) | −14.6520 | + | 25.3779i | −0.632278 | + | 1.09514i | ||||
\(538\) | 1.26085 | 0.0543591 | ||||||||
\(539\) | −24.3360 | + | 42.1512i | −1.04823 | + | 1.81558i | ||||
\(540\) | −1.90891 | + | 3.30634i | −0.0821466 | + | 0.142282i | ||||
\(541\) | 22.0724 | 0.948964 | 0.474482 | − | 0.880265i | \(-0.342635\pi\) | ||||
0.474482 | + | 0.880265i | \(0.342635\pi\) | |||||||
\(542\) | −0.468770 | + | 0.811934i | −0.0201354 | + | 0.0348756i | ||||
\(543\) | 0.505378 | + | 0.875341i | 0.0216879 | + | 0.0375645i | ||||
\(544\) | −2.18575 | − | 3.78583i | −0.0937133 | − | 0.162316i | ||||
\(545\) | −1.77176 | −0.0758937 | ||||||||
\(546\) | 2.39674 | − | 0.178227i | 0.102571 | − | 0.00762742i | ||||
\(547\) | 4.24489 | 0.181498 | 0.0907492 | − | 0.995874i | \(-0.471074\pi\) | ||||
0.0907492 | + | 0.995874i | \(0.471074\pi\) | |||||||
\(548\) | 5.26905 | + | 9.12626i | 0.225083 | + | 0.389855i | ||||
\(549\) | −1.45238 | − | 2.51559i | −0.0619860 | − | 0.107363i | ||||
\(550\) | 1.18647 | − | 2.05503i | 0.0505913 | − | 0.0876266i | ||||
\(551\) | 31.8371 | 1.35630 | ||||||||
\(552\) | 1.83118 | − | 3.17169i | 0.0779401 | − | 0.134996i | ||||
\(553\) | 5.77155 | − | 9.99661i | 0.245431 | − | 0.425099i | ||||
\(554\) | 2.27098 | 0.0964847 | ||||||||
\(555\) | 2.67848 | − | 4.63926i | 0.113695 | − | 0.196926i | ||||
\(556\) | 11.4686 | + | 19.8643i | 0.486379 | + | 0.842433i | ||||
\(557\) | −8.42548 | − | 14.5934i | −0.356999 | − | 0.618340i | 0.630459 | − | 0.776223i | \(-0.282867\pi\) |
−0.987458 | + | 0.157882i | \(0.949533\pi\) | |||||||
\(558\) | −0.0332218 | −0.00140639 | ||||||||
\(559\) | 0.827989 | + | 1.21594i | 0.0350202 | + | 0.0514287i | ||||
\(560\) | 5.71314 | 0.241424 | ||||||||
\(561\) | 14.7900 | + | 25.6170i | 0.624433 | + | 1.08155i | ||||
\(562\) | −0.190650 | − | 0.330215i | −0.00804208 | − | 0.0139293i | ||||
\(563\) | 5.36648 | − | 9.29502i | 0.226170 | − | 0.391738i | −0.730500 | − | 0.682913i | \(-0.760713\pi\) |
0.956670 | + | 0.291175i | \(0.0940461\pi\) | |||||||
\(564\) | 17.5148 | 0.737504 | ||||||||
\(565\) | 2.91496 | − | 5.04885i | 0.122633 | − | 0.212407i | ||||
\(566\) | 1.26003 | − | 2.18243i | 0.0529628 | − | 0.0917343i | ||||
\(567\) | 32.4340 | 1.36210 | ||||||||
\(568\) | 0.451352 | − | 0.781765i | 0.0189383 | − | 0.0328021i | ||||
\(569\) | −16.7833 | − | 29.0695i | −0.703591 | − | 1.21866i | −0.967197 | − | 0.254026i | \(-0.918245\pi\) |
0.263606 | − | 0.964630i | \(-0.415088\pi\) | |||||||
\(570\) | 0.123834 | + | 0.214487i | 0.00518684 | + | 0.00898388i | ||||
\(571\) | −2.06125 | −0.0862605 | −0.0431302 | − | 0.999069i | \(-0.513733\pi\) | ||||
−0.0431302 | + | 0.999069i | \(0.513733\pi\) | |||||||
\(572\) | 15.2854 | − | 31.6940i | 0.639116 | − | 1.32519i | ||||
\(573\) | 11.1219 | 0.464623 | ||||||||
\(574\) | −1.46091 | − | 2.53037i | −0.0609773 | − | 0.105616i | ||||
\(575\) | −13.8106 | − | 23.9207i | −0.575942 | − | 0.997561i | ||||
\(576\) | −1.29958 | + | 2.25094i | −0.0541492 | + | 0.0937892i | ||||
\(577\) | 22.8295 | 0.950402 | 0.475201 | − | 0.879877i | \(-0.342375\pi\) | ||||
0.475201 | + | 0.879877i | \(0.342375\pi\) | |||||||
\(578\) | 0.166134 | − | 0.287752i | 0.00691026 | − | 0.0119689i | ||||
\(579\) | 11.7244 | − | 20.3072i | 0.487248 | − | 0.843937i | ||||
\(580\) | −5.14663 | −0.213702 | ||||||||
\(581\) | −21.7728 | + | 37.7116i | −0.903289 | + | 1.56454i | ||||
\(582\) | −1.03248 | − | 1.78831i | −0.0427977 | − | 0.0741278i | ||||
\(583\) | 18.5561 | + | 32.1401i | 0.768515 | + | 1.33111i | ||||
\(584\) | 0.876531 | 0.0362711 | ||||||||
\(585\) | −0.239373 | − | 0.351529i | −0.00989684 | − | 0.0145339i | ||||
\(586\) | 1.81243 | 0.0748710 | ||||||||
\(587\) | −11.9457 | − | 20.6905i | −0.493050 | − | 0.853988i | 0.506918 | − | 0.861994i | \(-0.330785\pi\) |
−0.999968 | + | 0.00800654i | \(0.997451\pi\) | |||||||
\(588\) | −16.1241 | − | 27.9277i | −0.664946 | − | 1.15172i | ||||
\(589\) | 2.16903 | − | 3.75686i | 0.0893731 | − | 0.154799i | ||||
\(590\) | 0.0638201 | 0.00262743 | ||||||||
\(591\) | 17.2979 | − | 29.9608i | 0.711540 | − | 1.23242i | ||||
\(592\) | 18.3496 | − | 31.7824i | 0.754164 | − | 1.30625i | ||||
\(593\) | 15.9683 | 0.655739 | 0.327870 | − | 0.944723i | \(-0.393669\pi\) | ||||
0.327870 | + | 0.944723i | \(0.393669\pi\) | |||||||
\(594\) | −1.32477 | + | 2.29457i | −0.0543559 | + | 0.0941471i | ||||
\(595\) | −2.67816 | − | 4.63872i | −0.109794 | − | 0.190169i | ||||
\(596\) | −14.4652 | − | 25.0545i | −0.592518 | − | 1.02627i | ||||
\(597\) | 21.6751 | 0.887105 | ||||||||
\(598\) | 1.14094 | + | 1.67552i | 0.0466565 | + | 0.0685170i | ||||
\(599\) | −20.0246 | −0.818185 | −0.409092 | − | 0.912493i | \(-0.634155\pi\) | ||||
−0.409092 | + | 0.912493i | \(0.634155\pi\) | |||||||
\(600\) | 1.57611 | + | 2.72990i | 0.0643443 | + | 0.111448i | ||||
\(601\) | 4.12228 | + | 7.14000i | 0.168151 | + | 0.291247i | 0.937770 | − | 0.347257i | \(-0.112887\pi\) |
−0.769619 | + | 0.638504i | \(0.779554\pi\) | |||||||
\(602\) | −0.0832937 | + | 0.144269i | −0.00339480 | + | 0.00587996i | ||||
\(603\) | 3.78393 | 0.154094 | ||||||||
\(604\) | −5.55676 | + | 9.62460i | −0.226101 | + | 0.391619i | ||||
\(605\) | 2.29866 | − | 3.98140i | 0.0934540 | − | 0.161867i | ||||
\(606\) | −1.35653 | −0.0551052 | ||||||||
\(607\) | 6.15849 | − | 10.6668i | 0.249966 | − | 0.432953i | −0.713550 | − | 0.700604i | \(-0.752914\pi\) |
0.963516 | + | 0.267651i | \(0.0862474\pi\) | |||||||
\(608\) | 2.56624 | + | 4.44485i | 0.104075 | + | 0.180262i | ||||
\(609\) | 24.6461 | + | 42.6882i | 0.998709 | + | 1.72981i | ||||
\(610\) | 0.303460 | 0.0122867 | ||||||||
\(611\) | −8.44328 | + | 17.5069i | −0.341579 | + | 0.708255i | ||||
\(612\) | 2.46150 | 0.0995003 | ||||||||
\(613\) | −16.2823 | − | 28.2018i | −0.657636 | − | 1.13906i | −0.981226 | − | 0.192861i | \(-0.938223\pi\) |
0.323590 | − | 0.946197i | \(-0.395110\pi\) | |||||||
\(614\) | −0.497408 | − | 0.861536i | −0.0200738 | − | 0.0347688i | ||||
\(615\) | 2.05832 | − | 3.56512i | 0.0829995 | − | 0.143759i | ||||
\(616\) | 7.98908 | 0.321889 | ||||||||
\(617\) | 10.8282 | − | 18.7551i | 0.435929 | − | 0.755051i | −0.561442 | − | 0.827516i | \(-0.689753\pi\) |
0.997371 | + | 0.0724651i | \(0.0230866\pi\) | |||||||
\(618\) | −1.10274 | + | 1.91000i | −0.0443587 | + | 0.0768315i | ||||
\(619\) | 15.6516 | 0.629093 | 0.314546 | − | 0.949242i | \(-0.398148\pi\) | ||||
0.314546 | + | 0.949242i | \(0.398148\pi\) | |||||||
\(620\) | −0.350634 | + | 0.607316i | −0.0140818 | + | 0.0243904i | ||||
\(621\) | 15.4204 | + | 26.7089i | 0.618800 | + | 1.07179i | ||||
\(622\) | 0.853600 | + | 1.47848i | 0.0342262 | + | 0.0592816i | ||||
\(623\) | −51.4116 | −2.05976 | ||||||||
\(624\) | 13.0568 | + | 19.1744i | 0.522690 | + | 0.767592i | ||||
\(625\) | 23.1530 | 0.926118 | ||||||||
\(626\) | −0.752268 | − | 1.30297i | −0.0300667 | − | 0.0520770i | ||||
\(627\) | −17.3645 | − | 30.0763i | −0.693473 | − | 1.20113i | ||||
\(628\) | 13.0852 | − | 22.6643i | 0.522158 | − | 0.904405i | ||||
\(629\) | −34.4072 | −1.37190 | ||||||||
\(630\) | 0.0240803 | − | 0.0417083i | 0.000959382 | − | 0.00166170i | ||||
\(631\) | −12.5414 | + | 21.7223i | −0.499264 | + | 0.864750i | −1.00000 | 0.000849998i | \(-0.999729\pi\) | |
0.500736 | + | 0.865600i | \(0.333063\pi\) | |||||||
\(632\) | −1.11109 | −0.0441968 | ||||||||
\(633\) | 6.72830 | − | 11.6538i | 0.267426 | − | 0.463196i | ||||
\(634\) | −0.0974170 | − | 0.168731i | −0.00386892 | − | 0.00670117i | ||||
\(635\) | 2.13192 | + | 3.69259i | 0.0846025 | + | 0.146536i | ||||
\(636\) | −24.5891 | −0.975021 | ||||||||
\(637\) | 35.6882 | − | 2.65385i | 1.41402 | − | 0.105149i | ||||
\(638\) | −3.57171 | −0.141405 | ||||||||
\(639\) | 0.381534 | + | 0.660836i | 0.0150933 | + | 0.0261423i | ||||
\(640\) | −0.552666 | − | 0.957245i | −0.0218460 | − | 0.0378384i | ||||
\(641\) | −24.1012 | + | 41.7446i | −0.951942 | + | 1.64881i | −0.210725 | + | 0.977545i | \(0.567582\pi\) |
−0.741217 | + | 0.671266i | \(0.765751\pi\) | |||||||
\(642\) | 2.23020 | 0.0880190 | ||||||||
\(643\) | 13.7958 | − | 23.8951i | 0.544055 | − | 0.942331i | −0.454611 | − | 0.890690i | \(-0.650222\pi\) |
0.998666 | − | 0.0516405i | \(-0.0164450\pi\) | |||||||
\(644\) | 23.1910 | − | 40.1680i | 0.913854 | − | 1.58284i | ||||
\(645\) | −0.234710 | −0.00924170 | ||||||||
\(646\) | 0.795374 | − | 1.37763i | 0.0312936 | − | 0.0542021i | ||||
\(647\) | 5.66913 | + | 9.81922i | 0.222876 | + | 0.386033i | 0.955680 | − | 0.294407i | \(-0.0951220\pi\) |
−0.732804 | + | 0.680440i | \(0.761789\pi\) | |||||||
\(648\) | −1.56098 | − | 2.70370i | −0.0613212 | − | 0.106211i | ||||
\(649\) | −8.94912 | −0.351284 | ||||||||
\(650\) | −1.73993 | + | 0.129385i | −0.0682456 | + | 0.00507490i | ||||
\(651\) | 6.71644 | 0.263238 | ||||||||
\(652\) | 4.02592 | + | 6.97310i | 0.157667 | + | 0.273088i | ||||
\(653\) | −9.90531 | − | 17.1565i | −0.387625 | − | 0.671386i | 0.604505 | − | 0.796602i | \(-0.293371\pi\) |
−0.992130 | + | 0.125216i | \(0.960038\pi\) | |||||||
\(654\) | 0.407336 | − | 0.705527i | 0.0159281 | − | 0.0275883i | ||||
\(655\) | −0.410385 | −0.0160351 | ||||||||
\(656\) | 14.1011 | − | 24.4238i | 0.550554 | − | 0.953588i | ||||
\(657\) | −0.370472 | + | 0.641676i | −0.0144535 | + | 0.0250342i | ||||
\(658\) | −2.20104 | −0.0858053 | ||||||||
\(659\) | 0.701085 | − | 1.21431i | 0.0273104 | − | 0.0473030i | −0.852047 | − | 0.523465i | \(-0.824639\pi\) |
0.879358 | + | 0.476162i | \(0.157972\pi\) | |||||||
\(660\) | 2.80707 | + | 4.86199i | 0.109265 | + | 0.189253i | ||||
\(661\) | −4.43240 | − | 7.67714i | −0.172400 | − | 0.298606i | 0.766858 | − | 0.641816i | \(-0.221819\pi\) |
−0.939259 | + | 0.343210i | \(0.888486\pi\) | |||||||
\(662\) | 1.63464 | 0.0635321 | ||||||||
\(663\) | 9.44780 | − | 19.5898i | 0.366922 | − | 0.760804i | ||||
\(664\) | 4.19152 | 0.162663 | ||||||||
\(665\) | 3.14437 | + | 5.44620i | 0.121933 | + | 0.211195i | ||||
\(666\) | −0.154683 | − | 0.267920i | −0.00599386 | − | 0.0103817i | ||||
\(667\) | −20.7875 | + | 36.0050i | −0.804895 | + | 1.39412i | ||||
\(668\) | −12.6137 | −0.488040 | ||||||||
\(669\) | 17.2593 | − | 29.8941i | 0.667285 | − | 1.15577i | ||||
\(670\) | −0.197653 | + | 0.342346i | −0.00763602 | + | 0.0132260i | ||||
\(671\) | −42.5524 | −1.64272 | ||||||||
\(672\) | −3.97321 | + | 6.88180i | −0.153270 | + | 0.265471i | ||||
\(673\) | 13.4149 | + | 23.2352i | 0.517105 | + | 0.895653i | 0.999803 | + | 0.0198656i | \(0.00632384\pi\) |
−0.482697 | + | 0.875787i | \(0.660343\pi\) | |||||||
\(674\) | 0.826467 | + | 1.43148i | 0.0318343 | + | 0.0551387i | ||||
\(675\) | −26.5449 | −1.02171 | ||||||||
\(676\) | −25.5874 | + | 3.82663i | −0.984131 | + | 0.147178i | ||||
\(677\) | −18.9373 | −0.727821 | −0.363910 | − | 0.931434i | \(-0.618559\pi\) | ||||
−0.363910 | + | 0.931434i | \(0.618559\pi\) | |||||||
\(678\) | 1.34033 | + | 2.32152i | 0.0514750 | + | 0.0891573i | ||||
\(679\) | −26.2165 | − | 45.4083i | −1.00610 | − | 1.74261i | ||||
\(680\) | −0.257789 | + | 0.446504i | −0.00988576 | + | 0.0171226i | ||||
\(681\) | 17.9889 | 0.689336 | ||||||||
\(682\) | −0.243337 | + | 0.421472i | −0.00931785 | + | 0.0161390i | ||||
\(683\) | −7.41159 | + | 12.8373i | −0.283597 | + | 0.491204i | −0.972268 | − | 0.233870i | \(-0.924861\pi\) |
0.688671 | + | 0.725074i | \(0.258194\pi\) | |||||||
\(684\) | −2.88999 | −0.110501 | ||||||||
\(685\) | 0.932921 | − | 1.61587i | 0.0356451 | − | 0.0617391i | ||||
\(686\) | 0.597228 | + | 1.03443i | 0.0228023 | + | 0.0394947i | ||||
\(687\) | 13.6307 | + | 23.6090i | 0.520043 | + | 0.900741i | ||||
\(688\) | −1.60794 | −0.0613022 | ||||||||
\(689\) | 11.8536 | − | 24.5781i | 0.451586 | − | 0.936352i | ||||
\(690\) | −0.323422 | −0.0123125 | ||||||||
\(691\) | 8.79400 | + | 15.2317i | 0.334540 | + | 0.579440i | 0.983396 | − | 0.181471i | \(-0.0580858\pi\) |
−0.648857 | + | 0.760911i | \(0.724752\pi\) | |||||||
\(692\) | −19.8208 | − | 34.3307i | −0.753475 | − | 1.30506i | ||||
\(693\) | −3.37664 | + | 5.84851i | −0.128268 | + | 0.222167i | ||||
\(694\) | −1.99726 | −0.0758150 | ||||||||
\(695\) | 2.03060 | − | 3.51711i | 0.0770251 | − | 0.133411i | ||||
\(696\) | 2.37233 | − | 4.10900i | 0.0899229 | − | 0.155751i | ||||
\(697\) | −26.4408 | −1.00152 | ||||||||
\(698\) | 0.312179 | − | 0.540710i | 0.0118162 | − | 0.0204662i | ||||
\(699\) | −20.0588 | − | 34.7429i | −0.758694 | − | 1.31410i | ||||
\(700\) | 19.9607 | + | 34.5729i | 0.754442 | + | 1.30673i | ||||
\(701\) | 28.9940 | 1.09509 | 0.547543 | − | 0.836777i | \(-0.315563\pi\) | ||||
0.547543 | + | 0.836777i | \(0.315563\pi\) | |||||||
\(702\) | 1.94274 | − | 0.144466i | 0.0733240 | − | 0.00545253i | ||||
\(703\) | 40.3966 | 1.52359 | ||||||||
\(704\) | 19.0378 | + | 32.9745i | 0.717515 | + | 1.24277i | ||||
\(705\) | −1.55055 | − | 2.68564i | −0.0583972 | − | 0.101147i | ||||
\(706\) | −0.685886 | + | 1.18799i | −0.0258136 | + | 0.0447105i | ||||
\(707\) | −34.4446 | −1.29542 | ||||||||
\(708\) | 2.96467 | − | 5.13496i | 0.111419 | − | 0.192984i | ||||
\(709\) | −0.313029 | + | 0.542183i | −0.0117561 | + | 0.0203621i | −0.871844 | − | 0.489784i | \(-0.837075\pi\) |
0.860088 | + | 0.510146i | \(0.170409\pi\) | |||||||
\(710\) | −0.0797177 | −0.00299175 | ||||||||
\(711\) | 0.469610 | − | 0.813389i | 0.0176118 | − | 0.0305045i | ||||
\(712\) | 2.47433 | + | 4.28567i | 0.0927296 | + | 0.160612i | ||||
\(713\) | 2.83246 | + | 4.90596i | 0.106076 | + | 0.183730i | ||||
\(714\) | 2.46290 | 0.0921716 | ||||||||
\(715\) | −6.21301 | + | 0.462013i | −0.232353 | + | 0.0172783i | ||||
\(716\) | 35.7225 | 1.33501 | ||||||||
\(717\) | −11.8904 | − | 20.5948i | −0.444056 | − | 0.769128i | ||||
\(718\) | 1.31291 | + | 2.27402i | 0.0489972 | + | 0.0848657i | ||||
\(719\) | 3.86964 | − | 6.70241i | 0.144313 | − | 0.249958i | −0.784803 | − | 0.619745i | \(-0.787236\pi\) |
0.929116 | + | 0.369787i | \(0.120569\pi\) | |||||||
\(720\) | 0.464858 | 0.0173242 | ||||||||
\(721\) | −28.0005 | + | 48.4982i | −1.04279 | + | 1.80617i | ||||
\(722\) | 0.00899745 | − | 0.0155840i | 0.000334851 | − | 0.000579978i | ||||
\(723\) | −48.1494 | −1.79070 | ||||||||
\(724\) | 0.616074 | − | 1.06707i | 0.0228962 | − | 0.0396574i | ||||
\(725\) | −17.8919 | − | 30.9897i | −0.664490 | − | 1.15093i | ||||
\(726\) | 1.05695 | + | 1.83069i | 0.0392271 | + | 0.0679433i | ||||
\(727\) | 29.9506 | 1.11081 | 0.555404 | − | 0.831581i | \(-0.312564\pi\) | ||||
0.555404 | + | 0.831581i | \(0.312564\pi\) | |||||||
\(728\) | −3.30619 | − | 4.85528i | −0.122536 | − | 0.179949i | ||||
\(729\) | 29.3029 | 1.08529 | ||||||||
\(730\) | −0.0387031 | − | 0.0670358i | −0.00143247 | − | 0.00248111i | ||||
\(731\) | 0.753759 | + | 1.30555i | 0.0278788 | + | 0.0482875i | ||||
\(732\) | 14.0968 | − | 24.4163i | 0.521032 | − | 0.902454i | ||||
\(733\) | −12.4258 | −0.458957 | −0.229478 | − | 0.973314i | \(-0.573702\pi\) | ||||
−0.229478 | + | 0.973314i | \(0.573702\pi\) | |||||||
\(734\) | −0.131800 | + | 0.228283i | −0.00486481 | + | 0.00842610i | ||||
\(735\) | −2.85488 | + | 4.94480i | −0.105304 | + | 0.182392i | ||||
\(736\) | −6.70233 | −0.247051 | ||||||||
\(737\) | 27.7158 | − | 48.0051i | 1.02092 | − | 1.76829i | ||||
\(738\) | −0.118869 | − | 0.205887i | −0.00437563 | − | 0.00757882i | ||||
\(739\) | 4.61257 | + | 7.98921i | 0.169676 | + | 0.293888i | 0.938306 | − | 0.345806i | \(-0.112394\pi\) |
−0.768630 | + | 0.639694i | \(0.779061\pi\) | |||||||
\(740\) | −6.53032 | −0.240059 | ||||||||
\(741\) | −11.0924 | + | 22.9999i | −0.407490 | + | 0.844921i | ||||
\(742\) | 3.09005 | 0.113439 | ||||||||
\(743\) | 6.27332 | + | 10.8657i | 0.230146 | + | 0.398624i | 0.957851 | − | 0.287266i | \(-0.0927464\pi\) |
−0.727705 | + | 0.685890i | \(0.759413\pi\) | |||||||
\(744\) | −0.323249 | − | 0.559883i | −0.0118509 | − | 0.0205263i | ||||
\(745\) | −2.56116 | + | 4.43606i | −0.0938337 | + | 0.162525i | ||||
\(746\) | 0.878103 | 0.0321496 | ||||||||
\(747\) | −1.77158 | + | 3.06846i | −0.0648186 | + | 0.112269i | ||||
\(748\) | 18.0295 | − | 31.2280i | 0.659225 | − | 1.14181i | ||||
\(749\) | 56.6287 | 2.06917 | ||||||||
\(750\) | 0.281916 | − | 0.488293i | 0.0102941 | − | 0.0178299i | ||||
\(751\) | 0.617465 | + | 1.06948i | 0.0225316 | + | 0.0390259i | 0.877071 | − | 0.480360i | \(-0.159494\pi\) |
−0.854540 | + | 0.519386i | \(0.826161\pi\) | |||||||
\(752\) | −10.6225 | − | 18.3986i | −0.387361 | − | 0.670930i | ||||
\(753\) | −9.13676 | −0.332962 | ||||||||
\(754\) | 1.47811 | + | 2.17067i | 0.0538297 | + | 0.0790511i | ||||
\(755\) | 1.96772 | 0.0716128 | ||||||||
\(756\) | −22.2873 | − | 38.6028i | −0.810582 | − | 1.40397i | ||||
\(757\) | 22.8900 | + | 39.6466i | 0.831951 | + | 1.44098i | 0.896489 | + | 0.443065i | \(0.146109\pi\) |
−0.0645387 | + | 0.997915i | \(0.520558\pi\) | |||||||
\(758\) | 1.51591 | − | 2.62563i | 0.0550603 | − | 0.0953672i | ||||
\(759\) | 45.3516 | 1.64616 | ||||||||
\(760\) | 0.302664 | − | 0.524229i | 0.0109788 | − | 0.0190158i | ||||
\(761\) | 2.33625 | − | 4.04650i | 0.0846889 | − | 0.146686i | −0.820570 | − | 0.571546i | \(-0.806344\pi\) |
0.905259 | + | 0.424861i | \(0.139677\pi\) | |||||||
\(762\) | −1.96056 | −0.0710235 | ||||||||
\(763\) | 10.3430 | − | 17.9146i | 0.374441 | − | 0.648551i | ||||
\(764\) | −6.77899 | − | 11.7415i | −0.245255 | − | 0.424794i | ||||
\(765\) | −0.217913 | − | 0.377436i | −0.00787865 | − | 0.0136462i | ||||
\(766\) | −0.797520 | −0.0288156 | ||||||||
\(767\) | 3.70350 | + | 5.43874i | 0.133725 | + | 0.196381i | ||||
\(768\) | −24.8441 | −0.896482 | ||||||||
\(769\) | −10.4078 | − | 18.0268i | −0.375314 | − | 0.650062i | 0.615060 | − | 0.788480i | \(-0.289132\pi\) |
−0.990374 | + | 0.138418i | \(0.955798\pi\) | |||||||
\(770\) | −0.352757 | − | 0.610994i | −0.0127125 | − | 0.0220187i | ||||
\(771\) | −16.1074 | + | 27.8989i | −0.580095 | + | 1.00475i | ||||
\(772\) | −28.5848 | −1.02879 | ||||||||
\(773\) | −17.2805 | + | 29.9307i | −0.621537 | + | 1.07653i | 0.367663 | + | 0.929959i | \(0.380158\pi\) |
−0.989200 | + | 0.146574i | \(0.953175\pi\) | |||||||
\(774\) | −0.00677731 | + | 0.0117387i | −0.000243605 | + | 0.000421937i | ||||
\(775\) | −4.87584 | −0.175145 | ||||||||
\(776\) | −2.52349 | + | 4.37081i | −0.0905880 | + | 0.156903i | ||||
\(777\) | 31.2723 | + | 54.1652i | 1.12189 | + | 1.94316i | ||||
\(778\) | 0.247099 | + | 0.427988i | 0.00885893 | + | 0.0153441i | ||||
\(779\) | 31.0435 | 1.11225 | ||||||||
\(780\) | 1.79315 | − | 3.71805i | 0.0642050 | − | 0.133127i | ||||
\(781\) | 11.1783 | 0.399993 | ||||||||
\(782\) | 1.03865 | + | 1.79900i | 0.0371422 | + | 0.0643322i | ||||
\(783\) | 19.9775 | + | 34.6020i | 0.713936 | + | 1.23657i | ||||
\(784\) | −19.5581 | + | 33.8756i | −0.698503 | + | 1.20984i | ||||
\(785\) | −4.63366 | −0.165383 | ||||||||
\(786\) | 0.0943497 | − | 0.163419i | 0.00336534 | − | 0.00582895i | ||||
\(787\) | −2.81953 | + | 4.88357i | −0.100505 | + | 0.174081i | −0.911893 | − | 0.410428i | \(-0.865379\pi\) |
0.811388 | + | 0.584509i | \(0.198713\pi\) | |||||||
\(788\) | −42.1735 | −1.50237 | ||||||||
\(789\) | −18.6796 | + | 32.3539i | −0.665010 | + | 1.15183i | ||||
\(790\) | 0.0490601 | + | 0.0849747i | 0.00174548 | + | 0.00302326i | ||||
\(791\) | 34.0333 | + | 58.9473i | 1.21008 | + | 2.09593i | ||||
\(792\) | 0.650043 | 0.0230983 | ||||||||
\(793\) | 17.6098 | + | 25.8608i | 0.625344 | + | 0.918344i | ||||
\(794\) | 2.54226 | 0.0902213 | ||||||||
\(795\) | 2.17683 | + | 3.77038i | 0.0772043 | + | 0.133722i | ||||
\(796\) | −13.2114 | − | 22.8828i | −0.468265 | − | 0.811059i | ||||
\(797\) | 5.04659 | − | 8.74095i | 0.178759 | − | 0.309621i | −0.762696 | − | 0.646757i | \(-0.776125\pi\) |
0.941456 | + | 0.337136i | \(0.109458\pi\) | |||||||
\(798\) | −2.89163 | −0.102362 | ||||||||
\(799\) | −9.95905 | + | 17.2496i | −0.352326 | + | 0.610246i | ||||
\(800\) | 2.88437 | − | 4.99587i | 0.101978 | − | 0.176631i | ||||
\(801\) | −4.18318 | −0.147805 | ||||||||
\(802\) | −0.235349 | + | 0.407636i | −0.00831045 | + | 0.0143941i | ||||
\(803\) | 5.42711 | + | 9.40004i | 0.191519 | + | 0.331720i | ||||
\(804\) | 18.3634 | + | 31.8063i | 0.647627 | + | 1.12172i | ||||
\(805\) | −8.21225 | −0.289444 | ||||||||
\(806\) | 0.356847 | − | 0.0265360i | 0.0125694 | − | 0.000934689i | ||||
\(807\) | −20.7407 | −0.730109 | ||||||||
\(808\) | 1.65775 | + | 2.87131i | 0.0583194 | + | 0.101012i | ||||
\(809\) | −27.2857 | − | 47.2601i | −0.959312 | − | 1.66158i | −0.724176 | − | 0.689616i | \(-0.757780\pi\) |
−0.235137 | − | 0.971962i | \(-0.575554\pi\) | |||||||
\(810\) | −0.137850 | + | 0.238763i | −0.00484356 | + | 0.00838929i | ||||
\(811\) | 21.9872 | 0.772075 | 0.386037 | − | 0.922483i | \(-0.373844\pi\) | ||||
0.386037 | + | 0.922483i | \(0.373844\pi\) | |||||||
\(812\) | 30.0444 | − | 52.0385i | 1.05435 | − | 1.82619i | ||||
\(813\) | 7.71119 | − | 13.3562i | 0.270443 | − | 0.468421i | ||||
\(814\) | −4.53198 | −0.158846 | ||||||||
\(815\) | 0.712816 | − | 1.23463i | 0.0249689 | − | 0.0432473i | ||||
\(816\) | 11.8862 | + | 20.5876i | 0.416102 | + | 0.720709i | ||||
\(817\) | −0.884970 | − | 1.53281i | −0.0309612 | − | 0.0536263i | ||||
\(818\) | 2.70590 | 0.0946097 | ||||||||
\(819\) | 4.95176 | − | 0.368224i | 0.173029 | − | 0.0128668i | ||||
\(820\) | −5.01834 | −0.175248 | ||||||||
\(821\) | −14.7549 | − | 25.5562i | −0.514949 | − | 0.891917i | −0.999850 | − | 0.0173481i | \(-0.994478\pi\) |
0.484901 | − | 0.874569i | \(-0.338856\pi\) | |||||||
\(822\) | 0.428967 | + | 0.742993i | 0.0149619 | + | 0.0259148i | ||||
\(823\) | −7.46508 | + | 12.9299i | −0.260216 | + | 0.450708i | −0.966299 | − | 0.257421i | \(-0.917127\pi\) |
0.706083 | + | 0.708129i | \(0.250461\pi\) | |||||||
\(824\) | 5.39042 | 0.187784 | ||||||||
\(825\) | −19.5172 | + | 33.8048i | −0.679502 | + | 1.17693i | ||||
\(826\) | −0.372563 | + | 0.645297i | −0.0129631 | + | 0.0224528i | ||||
\(827\) | −15.6346 | −0.543667 | −0.271834 | − | 0.962344i | \(-0.587630\pi\) | ||||
−0.271834 | + | 0.962344i | \(0.587630\pi\) | |||||||
\(828\) | 1.88697 | − | 3.26833i | 0.0655768 | − | 0.113582i | ||||
\(829\) | 2.97538 | + | 5.15350i | 0.103339 | + | 0.178989i | 0.913058 | − | 0.407829i | \(-0.133714\pi\) |
−0.809719 | + | 0.586817i | \(0.800381\pi\) | |||||||
\(830\) | −0.185076 | − | 0.320562i | −0.00642410 | − | 0.0111269i | ||||
\(831\) | −37.3572 | −1.29591 | ||||||||
\(832\) | 12.1613 | − | 25.2162i | 0.421618 | − | 0.874214i | ||||
\(833\) | 36.6732 | 1.27065 | ||||||||
\(834\) | 0.933693 | + | 1.61720i | 0.0323311 | + | 0.0559992i | ||||
\(835\) | 1.11667 | + | 1.93414i | 0.0386441 | + | 0.0669335i | ||||
\(836\) | −21.1680 | + | 36.6641i | −0.732111 | + | 1.26805i | ||||
\(837\) | 5.44417 | 0.188178 | ||||||||
\(838\) | 0.0720341 | − | 0.124767i | 0.00248838 | − | 0.00431000i | ||||
\(839\) | 3.18266 | − | 5.51253i | 0.109878 | − | 0.190314i | −0.805843 | − | 0.592129i | \(-0.798287\pi\) |
0.915721 | + | 0.401816i | \(0.131621\pi\) | |||||||
\(840\) | 0.937206 | 0.0323367 | ||||||||
\(841\) | −12.4306 | + | 21.5305i | −0.428642 | + | 0.742430i | ||||
\(842\) | 1.24654 | + | 2.15908i | 0.0429588 | + | 0.0744068i | ||||
\(843\) | 3.13615 | + | 5.43198i | 0.108015 | + | 0.187087i | ||||
\(844\) | −16.4041 | −0.564652 | ||||||||
\(845\) | 2.85197 | + | 3.58469i | 0.0981108 | + | 0.123317i | ||||
\(846\) | −0.179090 | −0.00615726 | ||||||||
\(847\) | 26.8378 | + | 46.4845i | 0.922158 | + | 1.59722i | ||||
\(848\) | 14.9130 | + | 25.8300i | 0.512113 | + | 0.887006i | ||||
\(849\) | −20.7272 | + | 35.9006i | −0.711356 | + | 1.23210i | ||||
\(850\) | −1.78795 | −0.0613263 | ||||||||
\(851\) | −26.3763 | + | 45.6851i | −0.904168 | + | 1.56607i | ||||
\(852\) | −3.70317 | + | 6.41407i | −0.126868 | + | 0.219742i | ||||
\(853\) | −29.2437 | −1.00129 | −0.500643 | − | 0.865654i | \(-0.666903\pi\) | ||||
−0.500643 | + | 0.865654i | \(0.666903\pi\) | |||||||
\(854\) | −1.77151 | + | 3.06834i | −0.0606197 | + | 0.104996i | ||||
\(855\) | 0.255846 | + | 0.443138i | 0.00874974 | + | 0.0151550i | ||||
\(856\) | −2.72542 | − | 4.72057i | −0.0931530 | − | 0.161346i | ||||
\(857\) | −48.7381 | −1.66486 | −0.832431 | − | 0.554129i | \(-0.813051\pi\) | ||||
−0.832431 | + | 0.554129i | \(0.813051\pi\) | |||||||
\(858\) | 1.24443 | − | 2.58029i | 0.0424840 | − | 0.0880896i | ||||
\(859\) | −15.1469 | −0.516807 | −0.258403 | − | 0.966037i | \(-0.583196\pi\) | ||||
−0.258403 | + | 0.966037i | \(0.583196\pi\) | |||||||
\(860\) | 0.143060 | + | 0.247787i | 0.00487831 | + | 0.00844947i | ||||
\(861\) | 24.0317 | + | 41.6242i | 0.818999 | + | 1.41855i | ||||
\(862\) | −1.33950 | + | 2.32008i | −0.0456235 | + | 0.0790222i | ||||
\(863\) | 3.19596 | 0.108792 | 0.0543958 | − | 0.998519i | \(-0.482677\pi\) | ||||
0.0543958 | + | 0.998519i | \(0.482677\pi\) | |||||||
\(864\) | −3.22058 | + | 5.57821i | −0.109566 | + | 0.189774i | ||||
\(865\) | −3.50941 | + | 6.07848i | −0.119324 | + | 0.206675i | ||||
\(866\) | −1.56031 | −0.0530214 | ||||||||
\(867\) | −2.73287 | + | 4.73347i | −0.0928132 | + | 0.160757i | ||||
\(868\) | −4.09379 | − | 7.09066i | −0.138952 | − | 0.240673i | ||||
\(869\) | −6.87942 | − | 11.9155i | −0.233368 | − | 0.404206i | ||||
\(870\) | −0.419000 | −0.0142054 | ||||||||
\(871\) | −40.6445 | + | 3.02242i | −1.37719 | + | 0.102411i | ||||
\(872\) | −1.99115 | −0.0674287 | ||||||||
\(873\) | −2.13314 | − | 3.69471i | −0.0721959 | − | 0.125047i | ||||
\(874\) | −1.21946 | − | 2.11216i | −0.0412488 | − | 0.0714450i | ||||
\(875\) | 7.15834 | − | 12.3986i | 0.241996 | − | 0.419149i | ||||
\(876\) | −7.19159 | −0.242981 | ||||||||
\(877\) | 20.1247 | − | 34.8571i | 0.679564 | − | 1.17704i | −0.295548 | − | 0.955328i | \(-0.595502\pi\) |
0.975112 | − | 0.221712i | \(-0.0711645\pi\) | |||||||
\(878\) | 0.0862214 | − | 0.149340i | 0.00290983 | − | 0.00503998i | ||||
\(879\) | −29.8142 | −1.00561 | ||||||||
\(880\) | 3.40490 | − | 5.89746i | 0.114779 | − | 0.198803i | ||||
\(881\) | −20.5998 | − | 35.6798i | −0.694024 | − | 1.20208i | −0.970509 | − | 0.241066i | \(-0.922503\pi\) |
0.276485 | − | 0.961018i | \(-0.410830\pi\) | |||||||
\(882\) | 0.164871 | + | 0.285564i | 0.00555149 | + | 0.00961546i | ||||
\(883\) | 42.3740 | 1.42600 | 0.713000 | − | 0.701164i | \(-0.247336\pi\) | ||||
0.713000 | + | 0.701164i | \(0.247336\pi\) | |||||||
\(884\) | −26.4398 | + | 1.96613i | −0.889268 | + | 0.0661280i | ||||
\(885\) | −1.04983 | −0.0352896 | ||||||||
\(886\) | 1.61701 | + | 2.80074i | 0.0543245 | + | 0.0940928i | ||||
\(887\) | −9.53047 | − | 16.5073i | −0.320002 | − | 0.554259i | 0.660486 | − | 0.750838i | \(-0.270350\pi\) |
−0.980488 | + | 0.196579i | \(0.937017\pi\) | |||||||
\(888\) | 3.01014 | − | 5.21372i | 0.101014 | − | 0.174961i | ||||
\(889\) | −49.7819 | −1.66963 | ||||||||
\(890\) | 0.218508 | − | 0.378467i | 0.00732441 | − | 0.0126862i | ||||
\(891\) | 19.3299 | − | 33.4804i | 0.647577 | − | 1.12164i | ||||
\(892\) | −42.0795 | −1.40893 | ||||||||
\(893\) | 11.6927 | − | 20.2523i | 0.391280 | − | 0.677717i | ||||
\(894\) | −1.17765 | − | 2.03975i | −0.0393865 | − | 0.0682194i | ||||
\(895\) | −3.16246 | − | 5.47754i | −0.105709 | − | 0.183094i | ||||
\(896\) | 12.9052 | 0.431132 | ||||||||
\(897\) | −18.7683 | − | 27.5620i | −0.626654 | − | 0.920267i | ||||
\(898\) | 2.46214 | 0.0821625 | ||||||||
\(899\) | 3.66951 | + | 6.35578i | 0.122385 | + | 0.211977i | ||||
\(900\) | 1.62413 | + | 2.81307i | 0.0541376 | + | 0.0937691i | ||||
\(901\) | 13.9816 | − | 24.2168i | 0.465794 | − | 0.806779i | ||||
\(902\) | −3.48268 | −0.115960 | ||||||||
\(903\) | 1.37017 | − | 2.37320i | 0.0455963 | − | 0.0789751i | ||||
\(904\) | 3.27590 | − | 5.67403i | 0.108955 | − | 0.188715i | ||||
\(905\) | −0.218160 | −0.00725189 | ||||||||
\(906\) | −0.452391 | + | 0.783563i | −0.0150297 | + | 0.0260322i | ||||
\(907\) | −7.18342 | − | 12.4420i | −0.238521 | − | 0.413131i | 0.721769 | − | 0.692134i | \(-0.243329\pi\) |
−0.960290 | + | 0.279003i | \(0.909996\pi\) | |||||||
\(908\) | −10.9646 | − | 18.9912i | −0.363871 | − | 0.630244i | ||||
\(909\) | −2.80264 | −0.0929576 | ||||||||
\(910\) | −0.225340 | + | 0.467238i | −0.00746996 | + | 0.0154888i | ||||
\(911\) | 33.8934 | 1.12294 | 0.561469 | − | 0.827498i | \(-0.310236\pi\) | ||||
0.561469 | + | 0.827498i | \(0.310236\pi\) | |||||||
\(912\) | −13.9553 | − | 24.1714i | −0.462107 | − | 0.800393i | ||||
\(913\) | 25.9522 | + | 44.9505i | 0.858892 | + | 1.48764i | ||||
\(914\) | −1.54541 | + | 2.67673i | −0.0511177 | + | 0.0885385i | ||||
\(915\) | −4.99186 | −0.165026 | ||||||||
\(916\) | 16.6163 | − | 28.7803i | 0.549018 | − | 0.950927i | ||||
\(917\) | 2.39570 | − | 4.14948i | 0.0791131 | − | 0.137028i | ||||
\(918\) | 1.99636 | 0.0658897 | ||||||||
\(919\) | 18.9818 | − | 32.8775i | 0.626153 | − | 1.08453i | −0.362163 | − | 0.932115i | \(-0.617962\pi\) |
0.988317 | − | 0.152415i | \(-0.0487049\pi\) | |||||||
\(920\) | 0.395239 | + | 0.684574i | 0.0130306 | + | 0.0225697i | ||||
\(921\) | 8.18227 | + | 14.1721i | 0.269615 | + | 0.466987i | ||||
\(922\) | −1.48745 | −0.0489865 | ||||||||
\(923\) | −4.62603 | − | 6.79352i | −0.152268 | − | 0.223612i | ||||
\(924\) | −65.5473 | −2.15635 | ||||||||
\(925\) | −22.7023 | − | 39.3215i | −0.746446 | − | 1.29288i | ||||
\(926\) | 0.961241 | + | 1.66492i | 0.0315883 | + | 0.0547126i | ||||
\(927\) | −2.27830 | + | 3.94613i | −0.0748291 | + | 0.129608i | ||||
\(928\) | −8.68301 | −0.285034 | ||||||||
\(929\) | −0.689800 | + | 1.19477i | −0.0226316 | + | 0.0391991i | −0.877119 | − | 0.480272i | \(-0.840538\pi\) |
0.854488 | + | 0.519471i | \(0.173871\pi\) | |||||||
\(930\) | −0.0285460 | + | 0.0494432i | −0.000936062 | + | 0.00162131i | ||||
\(931\) | −43.0571 | −1.41114 | ||||||||
\(932\) | −24.4524 | + | 42.3528i | −0.800966 | + | 1.38731i | ||||
\(933\) | −14.0416 | − | 24.3207i | −0.459700 | − | 0.796224i | ||||
\(934\) | −1.72747 | − | 2.99206i | −0.0565244 | − | 0.0979031i | ||||
\(935\) | −6.38450 | −0.208795 | ||||||||
\(936\) | −0.269013 | − | 0.395057i | −0.00879298 | − | 0.0129129i | ||||
\(937\) | −37.5518 | −1.22676 | −0.613382 | − | 0.789786i | \(-0.710191\pi\) | ||||
−0.613382 | + | 0.789786i | \(0.710191\pi\) | |||||||
\(938\) | −2.30768 | − | 3.99702i | −0.0753485 | − | 0.130507i | ||||
\(939\) | 12.3747 | + | 21.4336i | 0.403832 | + | 0.699458i | ||||
\(940\) | −1.89018 | + | 3.27389i | −0.0616509 | + | 0.106782i | ||||
\(941\) | 31.3839 | 1.02309 | 0.511543 | − | 0.859258i | \(-0.329074\pi\) | ||||
0.511543 | + | 0.859258i | \(0.329074\pi\) | |||||||
\(942\) | 1.06530 | − | 1.84516i | 0.0347095 | − | 0.0601186i | ||||
\(943\) | −20.2693 | + | 35.1075i | −0.660060 | + | 1.14326i | ||||
\(944\) | −7.19213 | −0.234084 | ||||||||
\(945\) | −3.94612 | + | 6.83488i | −0.128367 | + | 0.222339i | ||||
\(946\) | 0.0992823 | + | 0.171962i | 0.00322794 | + | 0.00559096i | ||||
\(947\) | −9.56989 | − | 16.5755i | −0.310979 | − | 0.538632i | 0.667595 | − | 0.744524i | \(-0.267324\pi\) |
−0.978575 | + | 0.205892i | \(0.933990\pi\) | |||||||
\(948\) | 9.11607 | 0.296076 | ||||||||
\(949\) | 3.46683 | − | 7.18838i | 0.112538 | − | 0.233345i | ||||
\(950\) | 2.09919 | 0.0681067 | ||||||||
\(951\) | 1.60249 | + | 2.77560i | 0.0519643 | + | 0.0900049i | ||||
\(952\) | −3.00979 | − | 5.21311i | −0.0975479 | − | 0.168958i | ||||
\(953\) | 23.6829 | − | 41.0200i | 0.767165 | − | 1.32877i | −0.171929 | − | 0.985109i | \(-0.555000\pi\) |
0.939094 | − | 0.343660i | \(-0.111667\pi\) | |||||||
\(954\) | 0.251426 | 0.00814023 | ||||||||
\(955\) | −1.20027 | + | 2.07892i | −0.0388397 | + | 0.0672723i | ||||
\(956\) | −14.4949 | + | 25.1059i | −0.468798 | + | 0.811981i | ||||
\(957\) | 58.7539 | 1.89925 | ||||||||
\(958\) | 0.399134 | − | 0.691321i | 0.0128954 | − | 0.0223356i | ||||
\(959\) | 10.8922 | + | 18.8659i | 0.351728 | + | 0.609211i | ||||
\(960\) | 2.23334 | + | 3.86827i | 0.0720809 | + | 0.124848i | ||||
\(961\) | 1.00000 | 0.0322581 | ||||||||
\(962\) | 1.87551 | + | 2.75426i | 0.0604689 | + | 0.0888010i | ||||
\(963\) | 4.60767 | 0.148480 | ||||||||
\(964\) | 29.3479 | + | 50.8321i | 0.945233 | + | 1.63719i | ||||
\(965\) | 2.53057 | + | 4.38307i | 0.0814619 | + | 0.141096i | ||||
\(966\) | 1.88804 | − | 3.27018i | 0.0607467 | − | 0.105216i | ||||
\(967\) | −30.6565 | −0.985846 | −0.492923 | − | 0.870073i | \(-0.664072\pi\) | ||||
−0.492923 | + | 0.870073i | \(0.664072\pi\) | |||||||
\(968\) | 2.58330 | − | 4.47440i | 0.0830303 | − | 0.143813i | ||||
\(969\) | −13.0838 | + | 22.6617i | −0.420311 | + | 0.728000i | ||||
\(970\) | 0.445698 | 0.0143105 | ||||||||
\(971\) | 12.9507 | − | 22.4313i | 0.415608 | − | 0.719855i | −0.579884 | − | 0.814699i | \(-0.696902\pi\) |
0.995492 | + | 0.0948445i | \(0.0302354\pi\) | |||||||
\(972\) | −3.44485 | − | 5.96665i | −0.110493 | − | 0.191380i | ||||
\(973\) | 23.7081 | + | 41.0636i | 0.760046 | + | 1.31644i | ||||
\(974\) | −2.51803 | −0.0806828 | ||||||||
\(975\) | 28.6215 | − | 2.12836i | 0.916622 | − | 0.0681621i | ||||
\(976\) | −34.1980 | −1.09465 | ||||||||
\(977\) | 11.4514 | + | 19.8345i | 0.366364 | + | 0.634561i | 0.988994 | − | 0.147956i | \(-0.0472693\pi\) |
−0.622630 | + | 0.782516i | \(0.713936\pi\) | |||||||
\(978\) | 0.327761 | + | 0.567698i | 0.0104806 | + | 0.0181530i | ||||
\(979\) | −30.6401 | + | 53.0702i | −0.979262 | + | 1.69613i | ||||
\(980\) | 6.96040 | 0.222342 | ||||||||
\(981\) | 0.841571 | − | 1.45764i | 0.0268693 | − | 0.0465390i | ||||
\(982\) | −1.36213 | + | 2.35928i | −0.0434673 | + | 0.0752876i | ||||
\(983\) | −18.5203 | −0.590707 | −0.295354 | − | 0.955388i | \(-0.595437\pi\) | ||||
−0.295354 | + | 0.955388i | \(0.595437\pi\) | |||||||
\(984\) | 2.31320 | − | 4.00657i | 0.0737420 | − | 0.127725i | ||||
\(985\) | 3.73355 | + | 6.46670i | 0.118961 | + | 0.206046i | ||||
\(986\) | 1.34560 | + | 2.33064i | 0.0428526 | + | 0.0742228i | ||||
\(987\) | 36.2066 | 1.15247 | ||||||||
\(988\) | 31.0424 | − | 2.30838i | 0.987589 | − | 0.0734393i | ||||
\(989\) | 2.31131 | 0.0734953 | ||||||||
\(990\) | −0.0287026 | − | 0.0497144i | −0.000912229 | − | 0.00158003i | ||||
\(991\) | 14.4680 | + | 25.0592i | 0.459590 | + | 0.796033i | 0.998939 | − | 0.0460494i | \(-0.0146632\pi\) |
−0.539350 | + | 0.842082i | \(0.681330\pi\) | |||||||
\(992\) | −0.591564 | + | 1.02462i | −0.0187822 | + | 0.0325317i | ||||
\(993\) | −26.8895 | −0.853313 | ||||||||
\(994\) | 0.465368 | − | 0.806040i | 0.0147606 | − | 0.0255660i | ||||
\(995\) | −2.33917 | + | 4.05155i | −0.0741566 | + | 0.128443i | ||||
\(996\) | −34.3898 | −1.08968 | ||||||||
\(997\) | 16.8047 | − | 29.1066i | 0.532210 | − | 0.921814i | −0.467083 | − | 0.884213i | \(-0.654695\pi\) |
0.999293 | − | 0.0376009i | \(-0.0119716\pi\) | |||||||
\(998\) | −1.03555 | − | 1.79363i | −0.0327798 | − | 0.0567763i | ||||
\(999\) | 25.3485 | + | 43.9049i | 0.801991 | + | 1.38909i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 403.2.f.c.94.10 | ✓ | 36 | |
13.3 | even | 3 | 5239.2.a.p.1.9 | 18 | |||
13.9 | even | 3 | inner | 403.2.f.c.373.10 | yes | 36 | |
13.10 | even | 6 | 5239.2.a.o.1.10 | 18 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
403.2.f.c.94.10 | ✓ | 36 | 1.1 | even | 1 | trivial | |
403.2.f.c.373.10 | yes | 36 | 13.9 | even | 3 | inner | |
5239.2.a.o.1.10 | 18 | 13.10 | even | 6 | |||
5239.2.a.p.1.9 | 18 | 13.3 | even | 3 |