Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(13,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([0, 45, 22]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.bt (of order \(60\), degree \(16\), 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: | \(7.42608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(256\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 817.12 | ||
Character | \(\chi\) | \(=\) | 930.817 |
Dual form | 930.2.bt.b.823.12 |
$q$-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 \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(1\) | \(e\left(\frac{23}{30}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.453990 | − | 0.891007i | 0.321020 | − | 0.630037i | ||||
\(3\) | −0.0523360 | + | 0.998630i | −0.0302162 | + | 0.576559i | ||||
\(4\) | −0.587785 | − | 0.809017i | −0.293893 | − | 0.404508i | ||||
\(5\) | −0.971799 | − | 2.01385i | −0.434602 | − | 0.900623i | ||||
\(6\) | 0.866025 | + | 0.500000i | 0.353553 | + | 0.204124i | ||||
\(7\) | 2.64533 | − | 3.26672i | 0.999842 | − | 1.23470i | 0.0278689 | − | 0.999612i | \(-0.491128\pi\) |
0.971973 | − | 0.235091i | \(-0.0755388\pi\) | |||||||
\(8\) | −0.987688 | + | 0.156434i | −0.349201 | + | 0.0553079i | ||||
\(9\) | −0.994522 | − | 0.104528i | −0.331507 | − | 0.0348428i | ||||
\(10\) | −2.23554 | − | 0.0483912i | −0.706941 | − | 0.0153026i | ||||
\(11\) | 0.903840 | − | 2.03006i | 0.272518 | − | 0.612085i | −0.724498 | − | 0.689276i | \(-0.757929\pi\) |
0.997016 | + | 0.0771913i | \(0.0245952\pi\) | |||||||
\(12\) | 0.838671 | − | 0.544639i | 0.242103 | − | 0.157224i | ||||
\(13\) | −5.44433 | − | 3.53559i | −1.50999 | − | 0.980596i | −0.992142 | − | 0.125121i | \(-0.960068\pi\) |
−0.517844 | − | 0.855475i | \(-0.673265\pi\) | |||||||
\(14\) | −1.70971 | − | 3.84007i | −0.456939 | − | 1.02630i | ||||
\(15\) | 2.06195 | − | 0.865070i | 0.532394 | − | 0.223360i | ||||
\(16\) | −0.309017 | + | 0.951057i | −0.0772542 | + | 0.237764i | ||||
\(17\) | −1.47747 | + | 3.84895i | −0.358340 | + | 0.933508i | 0.629355 | + | 0.777118i | \(0.283319\pi\) |
−0.987695 | + | 0.156390i | \(0.950014\pi\) | |||||||
\(18\) | −0.544639 | + | 0.838671i | −0.128373 | + | 0.197677i | ||||
\(19\) | −0.913728 | + | 4.29875i | −0.209624 | + | 0.986202i | 0.739951 | + | 0.672661i | \(0.234849\pi\) |
−0.949575 | + | 0.313541i | \(0.898485\pi\) | |||||||
\(20\) | −1.05803 | + | 1.96992i | −0.236583 | + | 0.440486i | ||||
\(21\) | 3.12379 | + | 2.81268i | 0.681667 | + | 0.613776i | ||||
\(22\) | −1.39846 | − | 1.72695i | −0.298153 | − | 0.368188i | ||||
\(23\) | 1.25823 | + | 7.94414i | 0.262359 | + | 1.65647i | 0.669285 | + | 0.743006i | \(0.266601\pi\) |
−0.406926 | + | 0.913461i | \(0.633399\pi\) | |||||||
\(24\) | −0.104528 | − | 0.994522i | −0.0213368 | − | 0.203006i | ||||
\(25\) | −3.11121 | + | 3.91412i | −0.622243 | + | 0.782824i | ||||
\(26\) | −5.62191 | + | 3.24581i | −1.10255 | + | 0.636556i | ||||
\(27\) | 0.156434 | − | 0.987688i | 0.0301058 | − | 0.190081i | ||||
\(28\) | −4.19772 | − | 0.219993i | −0.793294 | − | 0.0415748i | ||||
\(29\) | −2.43671 | − | 7.49943i | −0.452486 | − | 1.39261i | −0.874061 | − | 0.485816i | \(-0.838522\pi\) |
0.421575 | − | 0.906794i | \(-0.361478\pi\) | |||||||
\(30\) | 0.165324 | − | 2.22995i | 0.0301839 | − | 0.407131i | ||||
\(31\) | 1.12282 | − | 5.45337i | 0.201665 | − | 0.979455i | ||||
\(32\) | 0.707107 | + | 0.707107i | 0.125000 | + | 0.125000i | ||||
\(33\) | 1.97997 | + | 1.00885i | 0.344669 | + | 0.175618i | ||||
\(34\) | 2.75868 | + | 3.06383i | 0.473110 | + | 0.525442i | ||||
\(35\) | −9.14942 | − | 2.15273i | −1.54653 | − | 0.363877i | ||||
\(36\) | 0.500000 | + | 0.866025i | 0.0833333 | + | 0.144338i | ||||
\(37\) | −2.59834 | − | 9.69715i | −0.427165 | − | 1.59420i | −0.759149 | − | 0.650917i | \(-0.774385\pi\) |
0.331984 | − | 0.943285i | \(-0.392282\pi\) | |||||||
\(38\) | 3.41539 | + | 2.76573i | 0.554050 | + | 0.448661i | ||||
\(39\) | 3.81568 | − | 5.25183i | 0.610997 | − | 0.840966i | ||||
\(40\) | 1.27487 | + | 1.83704i | 0.201575 | + | 0.290461i | ||||
\(41\) | −2.42663 | + | 2.69505i | −0.378976 | + | 0.420895i | −0.902212 | − | 0.431292i | \(-0.858058\pi\) |
0.523236 | + | 0.852188i | \(0.324724\pi\) | |||||||
\(42\) | 3.92428 | − | 1.50639i | 0.605530 | − | 0.232441i | ||||
\(43\) | −3.53816 | − | 5.44829i | −0.539565 | − | 0.830857i | 0.458769 | − | 0.888555i | \(-0.348290\pi\) |
−0.998334 | + | 0.0576984i | \(0.981624\pi\) | |||||||
\(44\) | −2.17361 | + | 0.462016i | −0.327685 | + | 0.0696515i | ||||
\(45\) | 0.755970 | + | 2.10440i | 0.112693 | + | 0.313706i | ||||
\(46\) | 7.64950 | + | 2.48547i | 1.12786 | + | 0.366463i | ||||
\(47\) | 9.67717 | − | 4.93076i | 1.41156 | − | 0.719226i | 0.428677 | − | 0.903458i | \(-0.358980\pi\) |
0.982883 | + | 0.184232i | \(0.0589797\pi\) | |||||||
\(48\) | −0.933580 | − | 0.358368i | −0.134751 | − | 0.0517260i | ||||
\(49\) | −2.21826 | − | 10.4361i | −0.316894 | − | 1.49087i | ||||
\(50\) | 2.07505 | + | 4.54909i | 0.293456 | + | 0.643338i | ||||
\(51\) | −3.76635 | − | 1.67689i | −0.527395 | − | 0.234811i | ||||
\(52\) | 0.339745 | + | 6.48272i | 0.0471142 | + | 0.898992i | ||||
\(53\) | −3.78500 | + | 3.06503i | −0.519909 | + | 0.421014i | −0.853024 | − | 0.521872i | \(-0.825234\pi\) |
0.333115 | + | 0.942886i | \(0.391900\pi\) | |||||||
\(54\) | −0.809017 | − | 0.587785i | −0.110093 | − | 0.0799874i | ||||
\(55\) | −4.96659 | + | 0.152607i | −0.669695 | + | 0.0205775i | ||||
\(56\) | −2.10174 | + | 3.64032i | −0.280857 | + | 0.486458i | ||||
\(57\) | −4.24504 | − | 1.13746i | −0.562269 | − | 0.150660i | ||||
\(58\) | −7.78829 | − | 1.23354i | −1.02265 | − | 0.161972i | ||||
\(59\) | 2.46295 | − | 2.21765i | 0.320649 | − | 0.288714i | −0.493049 | − | 0.870002i | \(-0.664118\pi\) |
0.813698 | + | 0.581288i | \(0.197451\pi\) | |||||||
\(60\) | −1.91184 | − | 1.15968i | −0.246818 | − | 0.149714i | ||||
\(61\) | − | 5.21342i | − | 0.667510i | −0.942660 | − | 0.333755i | \(-0.891684\pi\) | ||
0.942660 | − | 0.333755i | \(-0.108316\pi\) | |||||||
\(62\) | −4.34924 | − | 3.47622i | −0.552354 | − | 0.441481i | ||||
\(63\) | −2.97231 | + | 2.97231i | −0.374476 | + | 0.374476i | ||||
\(64\) | 0.951057 | − | 0.309017i | 0.118882 | − | 0.0386271i | ||||
\(65\) | −1.82936 | + | 14.4000i | −0.226905 | + | 1.78610i | ||||
\(66\) | 1.79778 | − | 1.30616i | 0.221291 | − | 0.160777i | ||||
\(67\) | −1.69220 | + | 6.31539i | −0.206736 | + | 0.771547i | 0.782178 | + | 0.623055i | \(0.214109\pi\) |
−0.988914 | + | 0.148492i | \(0.952558\pi\) | |||||||
\(68\) | 3.98230 | − | 1.06706i | 0.482925 | − | 0.129399i | ||||
\(69\) | −7.99910 | + | 0.840739i | −0.962978 | + | 0.101213i | ||||
\(70\) | −6.07184 | + | 7.17488i | −0.725724 | + | 0.857562i | ||||
\(71\) | −0.524225 | + | 4.98767i | −0.0622141 | + | 0.591927i | 0.918356 | + | 0.395756i | \(0.129517\pi\) |
−0.980570 | + | 0.196171i | \(0.937149\pi\) | |||||||
\(72\) | 0.998630 | − | 0.0523360i | 0.117690 | − | 0.00616785i | ||||
\(73\) | 0.537387 | + | 1.39994i | 0.0628964 | + | 0.163851i | 0.961427 | − | 0.275060i | \(-0.0886978\pi\) |
−0.898531 | + | 0.438911i | \(0.855364\pi\) | |||||||
\(74\) | −9.81985 | − | 2.08727i | −1.14153 | − | 0.242641i | ||||
\(75\) | −3.74593 | − | 3.31180i | −0.432543 | − | 0.382414i | ||||
\(76\) | 4.01484 | − | 1.78752i | 0.460534 | − | 0.205043i | ||||
\(77\) | −4.24066 | − | 8.32277i | −0.483268 | − | 0.948467i | ||||
\(78\) | −2.94713 | − | 5.78407i | −0.333697 | − | 0.654917i | ||||
\(79\) | 3.91008 | − | 1.74088i | 0.439918 | − | 0.195864i | −0.174812 | − | 0.984602i | \(-0.555932\pi\) |
0.614730 | + | 0.788738i | \(0.289265\pi\) | |||||||
\(80\) | 2.21559 | − | 0.301921i | 0.247711 | − | 0.0337558i | ||||
\(81\) | 0.978148 | + | 0.207912i | 0.108683 | + | 0.0231013i | ||||
\(82\) | 1.29964 | + | 3.38567i | 0.143521 | + | 0.373884i | ||||
\(83\) | 6.15970 | − | 0.322816i | 0.676115 | − | 0.0354337i | 0.288812 | − | 0.957386i | \(-0.406740\pi\) |
0.387304 | + | 0.921952i | \(0.373407\pi\) | |||||||
\(84\) | 0.439383 | − | 4.18045i | 0.0479406 | − | 0.456125i | ||||
\(85\) | 9.18703 | − | 0.764990i | 0.996473 | − | 0.0829749i | ||||
\(86\) | −6.46076 | + | 0.679053i | −0.696681 | + | 0.0732242i | ||||
\(87\) | 7.61668 | − | 2.04088i | 0.816594 | − | 0.218806i | ||||
\(88\) | −0.575141 | + | 2.14646i | −0.0613102 | + | 0.228813i | ||||
\(89\) | 11.9856 | − | 8.70806i | 1.27047 | − | 0.923053i | 0.271251 | − | 0.962509i | \(-0.412562\pi\) |
0.999221 | + | 0.0394560i | \(0.0125625\pi\) | |||||||
\(90\) | 2.21824 | + | 0.281804i | 0.233823 | + | 0.0297048i | ||||
\(91\) | −25.9518 | + | 8.43226i | −2.72049 | + | 0.883941i | ||||
\(92\) | 5.68737 | − | 5.68737i | 0.592950 | − | 0.592950i | ||||
\(93\) | 5.38713 | + | 1.40669i | 0.558620 | + | 0.145867i | ||||
\(94\) | − | 10.8609i | − | 1.12022i | ||||||
\(95\) | 9.54502 | − | 2.33741i | 0.979298 | − | 0.239813i | ||||
\(96\) | −0.743145 | + | 0.669131i | −0.0758469 | + | 0.0682929i | ||||
\(97\) | 2.57145 | + | 0.407278i | 0.261092 | + | 0.0413529i | 0.285608 | − | 0.958347i | \(-0.407805\pi\) |
−0.0245162 | + | 0.999699i | \(0.507805\pi\) | |||||||
\(98\) | −10.3057 | − | 2.76140i | −1.04103 | − | 0.278943i | ||||
\(99\) | −1.11109 | + | 1.92446i | −0.111668 | + | 0.193415i | ||||
\(100\) | 4.99532 | + | 0.216361i | 0.499532 | + | 0.0216361i | ||||
\(101\) | 14.8502 | + | 10.7893i | 1.47765 | + | 1.07358i | 0.978303 | + | 0.207178i | \(0.0664278\pi\) |
0.499350 | + | 0.866400i | \(0.333572\pi\) | |||||||
\(102\) | −3.20400 | + | 2.59455i | −0.317244 | + | 0.256899i | ||||
\(103\) | −0.817229 | − | 15.5936i | −0.0805239 | − | 1.53649i | −0.678276 | − | 0.734807i | \(-0.737273\pi\) |
0.597752 | − | 0.801681i | \(-0.296061\pi\) | |||||||
\(104\) | 5.93039 | + | 2.64038i | 0.581522 | + | 0.258910i | ||||
\(105\) | 2.62862 | − | 9.02422i | 0.256527 | − | 0.880673i | ||||
\(106\) | 1.01261 | + | 4.76395i | 0.0983533 | + | 0.462716i | ||||
\(107\) | −4.15146 | − | 1.59360i | −0.401337 | − | 0.154059i | 0.149323 | − | 0.988788i | \(-0.452291\pi\) |
−0.550660 | + | 0.834730i | \(0.685624\pi\) | |||||||
\(108\) | −0.891007 | + | 0.453990i | −0.0857371 | + | 0.0436853i | ||||
\(109\) | 4.83739 | + | 1.57176i | 0.463338 | + | 0.150548i | 0.531378 | − | 0.847135i | \(-0.321675\pi\) |
−0.0680399 | + | 0.997683i | \(0.521675\pi\) | |||||||
\(110\) | −2.11881 | + | 4.49454i | −0.202021 | + | 0.428538i | ||||
\(111\) | 9.81985 | − | 2.08727i | 0.932059 | − | 0.198115i | ||||
\(112\) | 2.28938 | + | 3.52533i | 0.216326 | + | 0.333113i | ||||
\(113\) | −5.45275 | + | 2.09311i | −0.512951 | + | 0.196904i | −0.601055 | − | 0.799208i | \(-0.705253\pi\) |
0.0881036 | + | 0.996111i | \(0.471919\pi\) | |||||||
\(114\) | −2.94069 | + | 3.26597i | −0.275421 | + | 0.305886i | ||||
\(115\) | 14.7756 | − | 10.2540i | 1.37783 | − | 0.956189i | ||||
\(116\) | −4.63491 | + | 6.37940i | −0.430340 | + | 0.592312i | ||||
\(117\) | 5.04493 | + | 4.08531i | 0.466404 | + | 0.377687i | ||||
\(118\) | −0.857787 | − | 3.20130i | −0.0789656 | − | 0.294704i | ||||
\(119\) | 8.66501 | + | 15.0082i | 0.794321 | + | 1.37580i | ||||
\(120\) | −1.90124 | + | 1.17698i | −0.173559 | + | 0.107443i | ||||
\(121\) | 4.05623 | + | 4.50490i | 0.368748 | + | 0.409537i | ||||
\(122\) | −4.64519 | − | 2.36684i | −0.420556 | − | 0.214284i | ||||
\(123\) | −2.56435 | − | 2.56435i | −0.231220 | − | 0.231220i | ||||
\(124\) | −5.07185 | + | 2.29703i | −0.455466 | + | 0.206279i | ||||
\(125\) | 10.9059 | + | 2.46179i | 0.975457 | + | 0.220189i | ||||
\(126\) | 1.29895 | + | 3.99774i | 0.115719 | + | 0.356147i | ||||
\(127\) | −19.5130 | − | 1.02263i | −1.73150 | − | 0.0907439i | −0.839663 | − | 0.543108i | \(-0.817247\pi\) |
−0.891833 | + | 0.452364i | \(0.850581\pi\) | |||||||
\(128\) | 0.156434 | − | 0.987688i | 0.0138270 | − | 0.0873001i | ||||
\(129\) | 5.62600 | − | 3.24817i | 0.495342 | − | 0.285986i | ||||
\(130\) | 11.9999 | + | 8.16742i | 1.05246 | + | 0.716330i | ||||
\(131\) | −1.22779 | − | 11.6816i | −0.107272 | − | 1.02063i | −0.907248 | − | 0.420596i | \(-0.861821\pi\) |
0.799976 | − | 0.600032i | \(-0.204846\pi\) | |||||||
\(132\) | −0.347625 | − | 2.19482i | −0.0302568 | − | 0.191034i | ||||
\(133\) | 11.6257 | + | 14.3565i | 1.00808 | + | 1.24487i | ||||
\(134\) | 4.85881 | + | 4.37489i | 0.419737 | + | 0.377933i | ||||
\(135\) | −2.14108 | + | 0.644798i | −0.184275 | + | 0.0554954i | ||||
\(136\) | 0.857175 | − | 4.03269i | 0.0735021 | − | 0.345800i | ||||
\(137\) | −2.47619 | + | 3.81301i | −0.211556 | + | 0.325767i | −0.928479 | − | 0.371385i | \(-0.878883\pi\) |
0.716923 | + | 0.697152i | \(0.245550\pi\) | |||||||
\(138\) | −2.88241 | + | 7.50894i | −0.245367 | + | 0.639203i | ||||
\(139\) | −0.558971 | + | 1.72034i | −0.0474113 | + | 0.145917i | −0.971960 | − | 0.235148i | \(-0.924443\pi\) |
0.924548 | + | 0.381065i | \(0.124443\pi\) | |||||||
\(140\) | 3.63630 | + | 8.66738i | 0.307324 | + | 0.732527i | ||||
\(141\) | 4.41754 | + | 9.92196i | 0.372024 | + | 0.835580i | ||||
\(142\) | 4.20605 | + | 2.73144i | 0.352964 | + | 0.229217i | ||||
\(143\) | −12.0982 | + | 7.85669i | −1.01171 | + | 0.657010i | ||||
\(144\) | 0.406737 | − | 0.913545i | 0.0338947 | − | 0.0761288i | ||||
\(145\) | −12.7348 | + | 12.1951i | −1.05756 | + | 1.01275i | ||||
\(146\) | 1.49132 | + | 0.156745i | 0.123423 | + | 0.0129723i | ||||
\(147\) | 10.5379 | − | 1.66903i | 0.869149 | − | 0.137660i | ||||
\(148\) | −6.31789 | + | 7.80195i | −0.519328 | + | 0.641316i | ||||
\(149\) | −6.05527 | − | 3.49601i | −0.496067 | − | 0.286404i | 0.231021 | − | 0.972949i | \(-0.425793\pi\) |
−0.727088 | + | 0.686544i | \(0.759127\pi\) | |||||||
\(150\) | −4.65145 | + | 1.83412i | −0.379789 | + | 0.149755i | ||||
\(151\) | −7.29728 | − | 10.0438i | −0.593844 | − | 0.817356i | 0.401283 | − | 0.915954i | \(-0.368564\pi\) |
−0.995127 | + | 0.0985978i | \(0.968564\pi\) | |||||||
\(152\) | 0.230006 | − | 4.38877i | 0.0186559 | − | 0.355976i | ||||
\(153\) | 1.87170 | − | 3.67343i | 0.151318 | − | 0.296979i | ||||
\(154\) | −9.34086 | −0.752708 | ||||||||
\(155\) | −12.0735 | + | 3.03838i | −0.969763 | + | 0.244048i | ||||
\(156\) | −6.49162 | −0.519745 | ||||||||
\(157\) | 5.93643 | − | 11.6509i | 0.473779 | − | 0.929843i | −0.523203 | − | 0.852208i | \(-0.675263\pi\) |
0.996982 | − | 0.0776353i | \(-0.0247370\pi\) | |||||||
\(158\) | 0.224004 | − | 4.27425i | 0.0178208 | − | 0.340041i | ||||
\(159\) | −2.86274 | − | 3.94022i | −0.227030 | − | 0.312480i | ||||
\(160\) | 0.736844 | − | 2.11118i | 0.0582526 | − | 0.166903i | ||||
\(161\) | 29.2797 | + | 16.9046i | 2.30756 | + | 1.33227i | ||||
\(162\) | 0.629320 | − | 0.777146i | 0.0494441 | − | 0.0610584i | ||||
\(163\) | 20.8771 | − | 3.30661i | 1.63522 | − | 0.258993i | 0.729847 | − | 0.683610i | \(-0.239591\pi\) |
0.905373 | + | 0.424617i | \(0.139591\pi\) | |||||||
\(164\) | 3.60667 | + | 0.379077i | 0.281634 | + | 0.0296009i | ||||
\(165\) | 0.107534 | − | 4.96777i | 0.00837149 | − | 0.386740i | ||||
\(166\) | 2.50881 | − | 5.63489i | 0.194722 | − | 0.437352i | ||||
\(167\) | −3.15007 | + | 2.04568i | −0.243760 | + | 0.158299i | −0.660737 | − | 0.750617i | \(-0.729756\pi\) |
0.416977 | + | 0.908917i | \(0.363089\pi\) | |||||||
\(168\) | −3.52533 | − | 2.28938i | −0.271985 | − | 0.176629i | ||||
\(169\) | 11.8528 | + | 26.6217i | 0.911750 | + | 2.04782i | ||||
\(170\) | 3.48921 | − | 8.53300i | 0.267610 | − | 0.654451i | ||||
\(171\) | 1.35806 | − | 4.17969i | 0.103854 | − | 0.319629i | ||||
\(172\) | −2.32808 | + | 6.06486i | −0.177515 | + | 0.462441i | ||||
\(173\) | −2.68185 | + | 4.12968i | −0.203897 | + | 0.313974i | −0.925795 | − | 0.378025i | \(-0.876603\pi\) |
0.721898 | + | 0.691999i | \(0.243270\pi\) | |||||||
\(174\) | 1.63946 | − | 7.71306i | 0.124287 | − | 0.584725i | ||||
\(175\) | 4.55612 | + | 20.5176i | 0.344411 | + | 1.55099i | ||||
\(176\) | 1.65140 | + | 1.48692i | 0.124479 | + | 0.112081i | ||||
\(177\) | 2.08571 | + | 2.57564i | 0.156772 | + | 0.193597i | ||||
\(178\) | −2.31758 | − | 14.6326i | −0.173710 | − | 1.09676i | ||||
\(179\) | 0.751651 | + | 7.15148i | 0.0561810 | + | 0.534527i | 0.986028 | + | 0.166580i | \(0.0532724\pi\) |
−0.929847 | + | 0.367947i | \(0.880061\pi\) | |||||||
\(180\) | 1.25815 | − | 1.84853i | 0.0937769 | − | 0.137781i | ||||
\(181\) | 12.0318 | − | 6.94658i | 0.894319 | − | 0.516335i | 0.0189664 | − | 0.999820i | \(-0.493962\pi\) |
0.875353 | + | 0.483485i | \(0.160629\pi\) | |||||||
\(182\) | −4.26869 | + | 26.9514i | −0.316416 | + | 1.99777i | ||||
\(183\) | 5.20628 | + | 0.272850i | 0.384859 | + | 0.0201696i | ||||
\(184\) | −2.48547 | − | 7.64950i | −0.183232 | − | 0.563929i | ||||
\(185\) | −17.0036 | + | 14.6564i | −1.25013 | + | 1.07756i | ||||
\(186\) | 3.69908 | − | 4.16135i | 0.271230 | − | 0.305125i | ||||
\(187\) | 6.47819 | + | 6.47819i | 0.473732 | + | 0.473732i | ||||
\(188\) | −9.67717 | − | 4.93076i | −0.705780 | − | 0.359613i | ||||
\(189\) | −2.81268 | − | 3.12379i | −0.204592 | − | 0.227222i | ||||
\(190\) | 2.25070 | − | 9.56584i | 0.163283 | − | 0.693979i | ||||
\(191\) | −0.936120 | − | 1.62141i | −0.0677353 | − | 0.117321i | 0.830169 | − | 0.557512i | \(-0.188244\pi\) |
−0.897904 | + | 0.440191i | \(0.854911\pi\) | |||||||
\(192\) | 0.258819 | + | 0.965926i | 0.0186787 | + | 0.0697097i | ||||
\(193\) | −6.70123 | − | 5.42655i | −0.482365 | − | 0.390612i | 0.357065 | − | 0.934080i | \(-0.383778\pi\) |
−0.839430 | + | 0.543468i | \(0.817111\pi\) | |||||||
\(194\) | 1.53030 | − | 2.10628i | 0.109869 | − | 0.151222i | ||||
\(195\) | −14.2845 | − | 2.58049i | −1.02293 | − | 0.184793i | ||||
\(196\) | −7.13910 | + | 7.92878i | −0.509936 | + | 0.566341i | ||||
\(197\) | −3.95522 | + | 1.51827i | −0.281798 | + | 0.108172i | −0.495162 | − | 0.868801i | \(-0.664891\pi\) |
0.213364 | + | 0.976973i | \(0.431558\pi\) | |||||||
\(198\) | 1.21028 | + | 1.86367i | 0.0860110 | + | 0.132445i | ||||
\(199\) | 22.3316 | − | 4.74672i | 1.58304 | − | 0.336486i | 0.669367 | − | 0.742932i | \(-0.266565\pi\) |
0.913675 | + | 0.406446i | \(0.133232\pi\) | |||||||
\(200\) | 2.46061 | − | 4.35263i | 0.173991 | − | 0.307778i | ||||
\(201\) | −6.21817 | − | 2.02041i | −0.438596 | − | 0.142508i | ||||
\(202\) | 16.3552 | − | 8.33340i | 1.15075 | − | 0.586336i | ||||
\(203\) | −30.9444 | − | 11.8785i | −2.17187 | − | 0.833704i | ||||
\(204\) | 0.857175 | + | 4.03269i | 0.0600143 | + | 0.282345i | ||||
\(205\) | 7.78562 | + | 2.26783i | 0.543771 | + | 0.158392i | ||||
\(206\) | −14.2651 | − | 6.35121i | −0.993894 | − | 0.442510i | ||||
\(207\) | −0.420947 | − | 8.03214i | −0.0292578 | − | 0.558272i | ||||
\(208\) | 5.04493 | − | 4.08531i | 0.349803 | − | 0.283265i | ||||
\(209\) | 7.90085 | + | 5.74030i | 0.546513 | + | 0.397065i | ||||
\(210\) | −6.84727 | − | 6.43902i | −0.472506 | − | 0.444335i | ||||
\(211\) | 11.3646 | − | 19.6840i | 0.782370 | − | 1.35511i | −0.148187 | − | 0.988959i | \(-0.547344\pi\) |
0.930557 | − | 0.366146i | \(-0.119323\pi\) | |||||||
\(212\) | 4.70442 | + | 1.26055i | 0.323101 | + | 0.0865747i | ||||
\(213\) | −4.95340 | − | 0.784541i | −0.339401 | − | 0.0537559i | ||||
\(214\) | −3.30463 | + | 2.97550i | −0.225900 | + | 0.203401i | ||||
\(215\) | −7.53368 | + | 12.4200i | −0.513793 | + | 0.847036i | ||||
\(216\) | 1.00000i | 0.0680414i | ||||||||
\(217\) | −14.8444 | − | 18.0939i | −1.00770 | − | 1.22830i | ||||
\(218\) | 3.59658 | − | 3.59658i | 0.243591 | − | 0.243591i | ||||
\(219\) | −1.42615 | + | 0.463383i | −0.0963701 | + | 0.0313125i | ||||
\(220\) | 3.04275 | + | 3.92835i | 0.205142 | + | 0.264850i | ||||
\(221\) | 21.6522 | − | 15.7312i | 1.45648 | − | 1.05820i | ||||
\(222\) | 2.59834 | − | 9.69715i | 0.174389 | − | 0.650830i | ||||
\(223\) | −25.1717 | + | 6.74475i | −1.68562 | + | 0.451662i | −0.969255 | − | 0.246059i | \(-0.920864\pi\) |
−0.716370 | + | 0.697721i | \(0.754198\pi\) | |||||||
\(224\) | 4.18045 | − | 0.439383i | 0.279318 | − | 0.0293575i | ||||
\(225\) | 3.50331 | − | 3.56747i | 0.233554 | − | 0.237831i | ||||
\(226\) | −0.610518 | + | 5.80869i | −0.0406110 | + | 0.386388i | ||||
\(227\) | 9.94562 | − | 0.521228i | 0.660114 | − | 0.0345951i | 0.280662 | − | 0.959807i | \(-0.409446\pi\) |
0.379452 | + | 0.925211i | \(0.376113\pi\) | |||||||
\(228\) | 1.57495 | + | 4.10289i | 0.104304 | + | 0.271721i | ||||
\(229\) | 11.7625 | + | 2.50019i | 0.777287 | + | 0.165217i | 0.579439 | − | 0.815015i | \(-0.303272\pi\) |
0.197848 | + | 0.980233i | \(0.436605\pi\) | |||||||
\(230\) | −2.42840 | − | 17.8204i | −0.160124 | − | 1.17504i | ||||
\(231\) | 8.53330 | − | 3.79927i | 0.561450 | − | 0.249974i | ||||
\(232\) | 3.57988 | + | 7.02592i | 0.235031 | + | 0.461274i | ||||
\(233\) | −1.02248 | − | 2.00673i | −0.0669850 | − | 0.131465i | 0.855086 | − | 0.518486i | \(-0.173504\pi\) |
−0.922071 | + | 0.387021i | \(0.873504\pi\) | |||||||
\(234\) | 5.93039 | − | 2.64038i | 0.387682 | − | 0.172607i | ||||
\(235\) | −19.3341 | − | 14.6967i | −1.26122 | − | 0.958706i | ||||
\(236\) | −3.24181 | − | 0.689068i | −0.211024 | − | 0.0448545i | ||||
\(237\) | 1.53385 | + | 3.99583i | 0.0996346 | + | 0.259557i | ||||
\(238\) | 17.3063 | − | 0.906984i | 1.12180 | − | 0.0587910i | ||||
\(239\) | −1.69735 | + | 16.1492i | −0.109792 | + | 1.04460i | 0.791434 | + | 0.611254i | \(0.209335\pi\) |
−0.901226 | + | 0.433348i | \(0.857332\pi\) | |||||||
\(240\) | 0.185552 | + | 2.22836i | 0.0119773 | + | 0.143840i | ||||
\(241\) | 14.8958 | − | 1.56561i | 0.959520 | − | 0.100850i | 0.388198 | − | 0.921576i | \(-0.373098\pi\) |
0.571322 | + | 0.820726i | \(0.306431\pi\) | |||||||
\(242\) | 5.85539 | − | 1.56895i | 0.376399 | − | 0.100856i | ||||
\(243\) | −0.258819 | + | 0.965926i | −0.0166032 | + | 0.0619642i | ||||
\(244\) | −4.21775 | + | 3.06437i | −0.270014 | + | 0.196176i | ||||
\(245\) | −18.8610 | + | 14.6090i | −1.20499 | + | 0.933335i | ||||
\(246\) | −3.44905 | + | 1.12066i | −0.219903 | + | 0.0714509i | ||||
\(247\) | 20.1733 | − | 20.1733i | 1.28359 | − | 1.28359i | ||||
\(248\) | −0.255905 | + | 5.56188i | −0.0162500 | + | 0.353180i | ||||
\(249\) | 6.16816i | 0.390891i | ||||||||
\(250\) | 7.14466 | − | 8.59964i | 0.451868 | − | 0.543889i | ||||
\(251\) | −15.5294 | + | 13.9828i | −0.980208 | + | 0.882584i | −0.993093 | − | 0.117333i | \(-0.962565\pi\) |
0.0128841 | + | 0.999917i | \(0.495899\pi\) | |||||||
\(252\) | 4.15173 | + | 0.657569i | 0.261534 | + | 0.0414229i | ||||
\(253\) | 17.2643 | + | 4.62595i | 1.08540 | + | 0.290831i | ||||
\(254\) | −9.76987 | + | 16.9219i | −0.613016 | + | 1.06178i | ||||
\(255\) | 0.283130 | + | 9.21448i | 0.0177303 | + | 0.577033i | ||||
\(256\) | −0.809017 | − | 0.587785i | −0.0505636 | − | 0.0367366i | ||||
\(257\) | −8.06099 | + | 6.52766i | −0.502831 | + | 0.407185i | −0.846894 | − | 0.531762i | \(-0.821530\pi\) |
0.344063 | + | 0.938947i | \(0.388197\pi\) | |||||||
\(258\) | −0.339992 | − | 6.48744i | −0.0211670 | − | 0.403891i | ||||
\(259\) | −38.5513 | − | 17.1642i | −2.39546 | − | 1.06653i | ||||
\(260\) | 12.7251 | − | 6.98410i | 0.789177 | − | 0.433135i | ||||
\(261\) | 1.63946 | + | 7.71306i | 0.101480 | + | 0.477426i | ||||
\(262\) | −10.9658 | − | 4.20938i | −0.677470 | − | 0.260056i | ||||
\(263\) | 1.25436 | − | 0.639128i | 0.0773471 | − | 0.0394103i | −0.414889 | − | 0.909872i | \(-0.636180\pi\) |
0.492236 | + | 0.870462i | \(0.336180\pi\) | |||||||
\(264\) | −2.11341 | − | 0.686689i | −0.130072 | − | 0.0422628i | ||||
\(265\) | 9.85077 | + | 4.64383i | 0.605128 | + | 0.285269i | ||||
\(266\) | 18.0697 | − | 3.84084i | 1.10793 | − | 0.235497i | ||||
\(267\) | 8.06885 | + | 12.4249i | 0.493805 | + | 0.760394i | ||||
\(268\) | 6.10391 | − | 2.34307i | 0.372856 | − | 0.143126i | ||||
\(269\) | 11.0830 | − | 12.3089i | 0.675744 | − | 0.750489i | −0.303576 | − | 0.952807i | \(-0.598181\pi\) |
0.979320 | + | 0.202318i | \(0.0648474\pi\) | |||||||
\(270\) | −0.397512 | + | 2.20045i | −0.0241918 | + | 0.133915i | ||||
\(271\) | 8.75266 | − | 12.0470i | 0.531686 | − | 0.731803i | −0.455700 | − | 0.890133i | \(-0.650611\pi\) |
0.987386 | + | 0.158330i | \(0.0506110\pi\) | |||||||
\(272\) | −3.20400 | − | 2.59455i | −0.194271 | − | 0.157318i | ||||
\(273\) | −7.06249 | − | 26.3576i | −0.427441 | − | 1.59523i | ||||
\(274\) | 2.27324 | + | 3.93737i | 0.137332 | + | 0.237865i | ||||
\(275\) | 5.13385 | + | 9.85368i | 0.309583 | + | 0.594199i | ||||
\(276\) | 5.38193 | + | 5.97723i | 0.323954 | + | 0.359787i | ||||
\(277\) | −7.88612 | − | 4.01818i | −0.473831 | − | 0.241429i | 0.200732 | − | 0.979646i | \(-0.435668\pi\) |
−0.674563 | + | 0.738217i | \(0.735668\pi\) | |||||||
\(278\) | 1.27906 | + | 1.27906i | 0.0767131 | + | 0.0767131i | ||||
\(279\) | −1.68671 | + | 5.30613i | −0.100980 | + | 0.317670i | ||||
\(280\) | 9.37354 | + | 0.694937i | 0.560176 | + | 0.0415304i | ||||
\(281\) | −2.91797 | − | 8.98060i | −0.174072 | − | 0.535738i | 0.825518 | − | 0.564376i | \(-0.190883\pi\) |
−0.999590 | + | 0.0286380i | \(0.990883\pi\) | |||||||
\(282\) | 10.8461 | + | 0.568418i | 0.645873 | + | 0.0338488i | ||||
\(283\) | −1.41969 | + | 8.96359i | −0.0843920 | + | 0.532830i | 0.908883 | + | 0.417051i | \(0.136936\pi\) |
−0.993275 | + | 0.115779i | \(0.963064\pi\) | |||||||
\(284\) | 4.34324 | − | 2.50757i | 0.257724 | − | 0.148797i | ||||
\(285\) | 1.83466 | + | 9.65427i | 0.108676 | + | 0.571870i | ||||
\(286\) | 1.50788 | + | 14.3465i | 0.0891626 | + | 0.848325i | ||||
\(287\) | 2.38470 | + | 15.0564i | 0.140764 | + | 0.888751i | ||||
\(288\) | −0.629320 | − | 0.777146i | −0.0370831 | − | 0.0457938i | ||||
\(289\) | 0.00197119 | + | 0.00177487i | 0.000115952 | + | 0.000104404i | ||||
\(290\) | 5.08448 | + | 16.8832i | 0.298571 | + | 0.991418i | ||||
\(291\) | −0.541300 | + | 2.54662i | −0.0317316 | + | 0.149285i | ||||
\(292\) | 0.816708 | − | 1.25762i | 0.0477942 | − | 0.0735966i | ||||
\(293\) | −2.23471 | + | 5.82163i | −0.130553 | + | 0.340103i | −0.983239 | − | 0.182321i | \(-0.941639\pi\) |
0.852686 | + | 0.522424i | \(0.174972\pi\) | |||||||
\(294\) | 3.29697 | − | 10.1470i | 0.192283 | − | 0.591787i | ||||
\(295\) | −6.85953 | − | 2.80492i | −0.399377 | − | 0.163309i | ||||
\(296\) | 4.08332 | + | 9.17129i | 0.237338 | + | 0.533071i | ||||
\(297\) | −1.86367 | − | 1.21028i | −0.108141 | − | 0.0702277i | ||||
\(298\) | −5.86400 | + | 3.80813i | −0.339692 | + | 0.220599i | ||||
\(299\) | 21.2370 | − | 47.6991i | 1.22817 | − | 2.75851i | ||||
\(300\) | −0.477500 | + | 4.97715i | −0.0275684 | + | 0.287356i | ||||
\(301\) | −27.1577 | − | 2.85438i | −1.56534 | − | 0.164524i | ||||
\(302\) | −12.2620 | + | 1.94211i | −0.705600 | + | 0.111756i | ||||
\(303\) | −11.5517 | + | 14.2652i | −0.663630 | + | 0.819515i | ||||
\(304\) | −3.80600 | − | 2.19740i | −0.218289 | − | 0.126029i | ||||
\(305\) | −10.4991 | + | 5.06640i | −0.601175 | + | 0.290101i | ||||
\(306\) | −2.42331 | − | 3.33540i | −0.138532 | − | 0.190672i | ||||
\(307\) | −0.659959 | + | 12.5928i | −0.0376659 | + | 0.718708i | 0.912900 | + | 0.408184i | \(0.133838\pi\) |
−0.950566 | + | 0.310524i | \(0.899496\pi\) | |||||||
\(308\) | −4.24066 | + | 8.32277i | −0.241634 | + | 0.474234i | ||||
\(309\) | 15.6150 | 0.888309 | ||||||||
\(310\) | −2.77402 | + | 12.1369i | −0.157554 | + | 0.689331i | ||||
\(311\) | 19.5639 | 1.10937 | 0.554684 | − | 0.832061i | \(-0.312839\pi\) | ||||
0.554684 | + | 0.832061i | \(0.312839\pi\) | |||||||
\(312\) | −2.94713 | + | 5.78407i | −0.166849 | + | 0.327459i | ||||
\(313\) | −0.540875 | + | 10.3205i | −0.0305721 | + | 0.583350i | 0.939799 | + | 0.341729i | \(0.111012\pi\) |
−0.970371 | + | 0.241621i | \(0.922321\pi\) | |||||||
\(314\) | −7.68595 | − | 10.5788i | −0.433743 | − | 0.596996i | ||||
\(315\) | 8.87428 | + | 3.09731i | 0.500009 | + | 0.174513i | ||||
\(316\) | −3.70668 | − | 2.14006i | −0.208517 | − | 0.120388i | ||||
\(317\) | 12.8463 | − | 15.8639i | 0.721523 | − | 0.891006i | −0.276014 | − | 0.961154i | \(-0.589014\pi\) |
0.997537 | + | 0.0701472i | \(0.0223469\pi\) | |||||||
\(318\) | −4.81042 | + | 0.761895i | −0.269755 | + | 0.0427250i | ||||
\(319\) | −17.4267 | − | 1.83162i | −0.975707 | − | 0.102551i | ||||
\(320\) | −1.54655 | − | 1.61499i | −0.0864548 | − | 0.0902805i | ||||
\(321\) | 1.80868 | − | 4.06237i | 0.100951 | − | 0.226739i | ||||
\(322\) | 28.3548 | − | 18.4138i | 1.58015 | − | 1.02616i | ||||
\(323\) | −15.1957 | − | 9.86819i | −0.845510 | − | 0.549081i | ||||
\(324\) | −0.406737 | − | 0.913545i | −0.0225965 | − | 0.0507525i | ||||
\(325\) | 30.7772 | − | 10.3098i | 1.70721 | − | 0.571885i | ||||
\(326\) | 6.53179 | − | 20.1028i | 0.361763 | − | 1.11339i | ||||
\(327\) | −1.82278 | + | 4.74850i | −0.100800 | + | 0.262593i | ||||
\(328\) | 1.97516 | − | 3.04147i | 0.109060 | − | 0.167937i | ||||
\(329\) | 9.49194 | − | 44.6561i | 0.523308 | − | 2.46197i | ||||
\(330\) | −4.37749 | − | 2.35113i | −0.240973 | − | 0.129426i | ||||
\(331\) | 2.36771 | + | 2.13190i | 0.130141 | + | 0.117180i | 0.731631 | − | 0.681701i | \(-0.238759\pi\) |
−0.601490 | + | 0.798880i | \(0.705426\pi\) | |||||||
\(332\) | −3.88175 | − | 4.79356i | −0.213038 | − | 0.263081i | ||||
\(333\) | 1.57048 | + | 9.91563i | 0.0860619 | + | 0.543373i | ||||
\(334\) | 0.392612 | + | 3.73545i | 0.0214828 | + | 0.204395i | ||||
\(335\) | 14.3627 | − | 2.72944i | 0.784721 | − | 0.149125i | ||||
\(336\) | −3.64032 | + | 2.10174i | −0.198596 | + | 0.114659i | ||||
\(337\) | −1.15802 | + | 7.31144i | −0.0630813 | + | 0.398279i | 0.935864 | + | 0.352362i | \(0.114621\pi\) |
−0.998945 | + | 0.0459179i | \(0.985379\pi\) | |||||||
\(338\) | 29.1012 | + | 1.52513i | 1.58289 | + | 0.0829560i | ||||
\(339\) | −1.80487 | − | 5.55482i | −0.0980271 | − | 0.301696i | ||||
\(340\) | −6.01889 | − | 6.98281i | −0.326420 | − | 0.378696i | ||||
\(341\) | −10.0558 | − | 7.20837i | −0.544552 | − | 0.390355i | ||||
\(342\) | −3.10759 | − | 3.10759i | −0.168039 | − | 0.168039i | ||||
\(343\) | −13.7424 | − | 7.00212i | −0.742022 | − | 0.378079i | ||||
\(344\) | 4.34690 | + | 4.82773i | 0.234369 | + | 0.260294i | ||||
\(345\) | 9.46664 | + | 15.2920i | 0.509667 | + | 0.823293i | ||||
\(346\) | 2.46204 | + | 4.26438i | 0.132360 | + | 0.229254i | ||||
\(347\) | −2.80762 | − | 10.4782i | −0.150721 | − | 0.562499i | −0.999434 | − | 0.0336448i | \(-0.989288\pi\) |
0.848713 | − | 0.528854i | \(-0.177378\pi\) | |||||||
\(348\) | −6.12808 | − | 4.96243i | −0.328500 | − | 0.266014i | ||||
\(349\) | 8.61837 | − | 11.8622i | 0.461331 | − | 0.634967i | −0.513453 | − | 0.858117i | \(-0.671634\pi\) |
0.974784 | + | 0.223150i | \(0.0716341\pi\) | |||||||
\(350\) | 20.3498 | + | 5.25526i | 1.08774 | + | 0.280906i | ||||
\(351\) | −4.34374 | + | 4.82421i | −0.231852 | + | 0.257497i | ||||
\(352\) | 2.07458 | − | 0.796356i | 0.110575 | − | 0.0424459i | ||||
\(353\) | −13.7959 | − | 21.2438i | −0.734281 | − | 1.13069i | −0.986617 | − | 0.163054i | \(-0.947865\pi\) |
0.252336 | − | 0.967640i | \(-0.418801\pi\) | |||||||
\(354\) | 3.24181 | − | 0.689068i | 0.172300 | − | 0.0366235i | ||||
\(355\) | 10.5539 | − | 3.79130i | 0.560141 | − | 0.201221i | ||||
\(356\) | −14.0899 | − | 4.57810i | −0.746765 | − | 0.242639i | ||||
\(357\) | −15.4412 | + | 7.86767i | −0.817233 | + | 0.416401i | ||||
\(358\) | 6.71326 | + | 2.57698i | 0.354807 | + | 0.136198i | ||||
\(359\) | 3.21076 | + | 15.1054i | 0.169457 | + | 0.797234i | 0.977968 | + | 0.208753i | \(0.0669405\pi\) |
−0.808511 | + | 0.588481i | \(0.799726\pi\) | |||||||
\(360\) | −1.07586 | − | 1.96023i | −0.0567030 | − | 0.103313i | ||||
\(361\) | −0.287018 | − | 0.127789i | −0.0151062 | − | 0.00672572i | ||||
\(362\) | −0.727112 | − | 13.8741i | −0.0382162 | − | 0.729208i | ||||
\(363\) | −4.71101 | + | 3.81490i | −0.247264 | + | 0.200231i | ||||
\(364\) | 22.0759 | + | 16.0391i | 1.15709 | + | 0.840678i | ||||
\(365\) | 2.29704 | − | 2.44268i | 0.120233 | − | 0.127856i | ||||
\(366\) | 2.60671 | − | 4.51496i | 0.136255 | − | 0.236001i | ||||
\(367\) | −16.9943 | − | 4.55362i | −0.887098 | − | 0.237697i | −0.213631 | − | 0.976914i | \(-0.568529\pi\) |
−0.673467 | + | 0.739217i | \(0.735196\pi\) | |||||||
\(368\) | −7.94414 | − | 1.25823i | −0.414117 | − | 0.0655896i | ||||
\(369\) | 2.69505 | − | 2.42663i | 0.140298 | − | 0.126325i | ||||
\(370\) | 5.33946 | + | 21.8042i | 0.277585 | + | 1.13354i | ||||
\(371\) | 20.4725i | 1.06288i | ||||||||
\(372\) | −2.02844 | − | 5.18512i | −0.105170 | − | 0.268836i | ||||
\(373\) | −7.47146 | + | 7.47146i | −0.386857 | + | 0.386857i | −0.873565 | − | 0.486708i | \(-0.838198\pi\) |
0.486708 | + | 0.873565i | \(0.338198\pi\) | |||||||
\(374\) | 8.71315 | − | 2.83107i | 0.450546 | − | 0.146391i | ||||
\(375\) | −3.02919 | + | 10.7622i | −0.156427 | + | 0.555755i | ||||
\(376\) | −8.78669 | + | 6.38390i | −0.453139 | + | 0.329225i | ||||
\(377\) | −13.2486 | + | 49.4446i | −0.682340 | + | 2.54653i | ||||
\(378\) | −4.06025 | + | 1.08794i | −0.208837 | + | 0.0559576i | ||||
\(379\) | 20.2326 | − | 2.12653i | 1.03928 | − | 0.109232i | 0.430514 | − | 0.902584i | \(-0.358332\pi\) |
0.608764 | + | 0.793352i | \(0.291666\pi\) | |||||||
\(380\) | −7.50143 | − | 6.34819i | −0.384815 | − | 0.325655i | ||||
\(381\) | 2.04246 | − | 19.4327i | 0.104638 | − | 0.995568i | ||||
\(382\) | −1.86967 | + | 0.0979855i | −0.0956609 | + | 0.00501337i | ||||
\(383\) | 1.35932 | + | 3.54115i | 0.0694580 | + | 0.180944i | 0.963915 | − | 0.266209i | \(-0.0857712\pi\) |
−0.894457 | + | 0.447153i | \(0.852438\pi\) | |||||||
\(384\) | 0.978148 | + | 0.207912i | 0.0499159 | + | 0.0106099i | ||||
\(385\) | −12.6398 | + | 16.6281i | −0.644182 | + | 0.847448i | ||||
\(386\) | −7.87739 | + | 3.50724i | −0.400949 | + | 0.178514i | ||||
\(387\) | 2.94928 | + | 5.78829i | 0.149920 | + | 0.294235i | ||||
\(388\) | −1.18197 | − | 2.31974i | −0.0600053 | − | 0.117767i | ||||
\(389\) | −14.5806 | + | 6.49171i | −0.739267 | + | 0.329143i | −0.741589 | − | 0.670854i | \(-0.765928\pi\) |
0.00232194 | + | 0.999997i | \(0.499261\pi\) | |||||||
\(390\) | −8.78426 | + | 11.5561i | −0.444808 | + | 0.585163i | ||||
\(391\) | −32.4356 | − | 6.89440i | −1.64034 | − | 0.348665i | ||||
\(392\) | 3.82351 | + | 9.96058i | 0.193116 | + | 0.503085i | ||||
\(393\) | 11.7299 | − | 0.614736i | 0.591694 | − | 0.0310093i | ||||
\(394\) | −0.442847 | + | 4.21341i | −0.0223103 | + | 0.212268i | ||||
\(395\) | −7.30568 | − | 6.18254i | −0.367589 | − | 0.311077i | ||||
\(396\) | 2.21000 | − | 0.232280i | 0.111057 | − | 0.0116725i | ||||
\(397\) | 15.3193 | − | 4.10480i | 0.768856 | − | 0.206014i | 0.146990 | − | 0.989138i | \(-0.453042\pi\) |
0.621866 | + | 0.783124i | \(0.286375\pi\) | |||||||
\(398\) | 5.90896 | − | 22.0525i | 0.296189 | − | 1.10539i | ||||
\(399\) | −14.9453 | + | 10.8584i | −0.748201 | + | 0.543600i | ||||
\(400\) | −2.76113 | − | 4.16847i | −0.138057 | − | 0.208424i | ||||
\(401\) | 28.9639 | − | 9.41093i | 1.44639 | − | 0.469959i | 0.522504 | − | 0.852637i | \(-0.324998\pi\) |
0.923882 | + | 0.382677i | \(0.124998\pi\) | |||||||
\(402\) | −4.62318 | + | 4.62318i | −0.230584 | + | 0.230584i | ||||
\(403\) | −25.3939 | + | 25.7201i | −1.26496 | + | 1.28121i | ||||
\(404\) | − | 18.3559i | − | 0.913240i | ||||||
\(405\) | −0.531859 | − | 2.17189i | −0.0264283 | − | 0.107922i | ||||
\(406\) | −24.6323 | + | 22.1790i | −1.22248 | + | 1.10072i | ||||
\(407\) | −22.0343 | − | 3.48988i | −1.09220 | − | 0.172987i | ||||
\(408\) | 3.98230 | + | 1.06706i | 0.197153 | + | 0.0528271i | ||||
\(409\) | −13.4780 | + | 23.3446i | −0.666446 | + | 1.15432i | 0.312445 | + | 0.949936i | \(0.398852\pi\) |
−0.978891 | + | 0.204383i | \(0.934481\pi\) | |||||||
\(410\) | 5.55525 | − | 5.90747i | 0.274354 | − | 0.291749i | ||||
\(411\) | −3.67819 | − | 2.67236i | −0.181432 | − | 0.131818i | ||||
\(412\) | −12.1352 | + | 9.82687i | −0.597857 | + | 0.484135i | ||||
\(413\) | −0.729108 | − | 13.9122i | −0.0358771 | − | 0.684575i | ||||
\(414\) | −7.34779 | − | 3.27145i | −0.361124 | − | 0.160783i | ||||
\(415\) | −6.63610 | − | 12.0910i | −0.325753 | − | 0.593525i | ||||
\(416\) | −1.34968 | − | 6.34976i | −0.0661737 | − | 0.311323i | ||||
\(417\) | −1.68872 | − | 0.648240i | −0.0826971 | − | 0.0317445i | ||||
\(418\) | 8.70156 | − | 4.43367i | 0.425607 | − | 0.216858i | ||||
\(419\) | 7.69116 | + | 2.49901i | 0.375738 | + | 0.122085i | 0.490797 | − | 0.871274i | \(-0.336706\pi\) |
−0.115059 | + | 0.993359i | \(0.536706\pi\) | |||||||
\(420\) | −8.84581 | + | 3.17770i | −0.431631 | + | 0.155056i | ||||
\(421\) | 5.88762 | − | 1.25145i | 0.286945 | − | 0.0609921i | −0.0621904 | − | 0.998064i | \(-0.519809\pi\) |
0.349136 | + | 0.937072i | \(0.386475\pi\) | |||||||
\(422\) | −12.3792 | − | 19.0623i | −0.602610 | − | 0.927938i | ||||
\(423\) | −10.1396 | + | 3.89221i | −0.493002 | + | 0.189246i | ||||
\(424\) | 3.25892 | − | 3.61940i | 0.158267 | − | 0.175773i | ||||
\(425\) | −10.4685 | − | 17.7579i | −0.507798 | − | 0.861386i | ||||
\(426\) | −2.94783 | + | 4.05733i | −0.142823 | + | 0.196578i | ||||
\(427\) | −17.0308 | − | 13.7912i | −0.824177 | − | 0.667405i | ||||
\(428\) | 1.15092 | + | 4.29530i | 0.0556319 | + | 0.207621i | ||||
\(429\) | −7.21275 | − | 12.4929i | −0.348235 | − | 0.603161i | ||||
\(430\) | 7.64607 | + | 12.3511i | 0.368726 | + | 0.595624i | ||||
\(431\) | −15.0146 | − | 16.6754i | −0.723228 | − | 0.803226i | 0.263663 | − | 0.964615i | \(-0.415069\pi\) |
−0.986891 | + | 0.161389i | \(0.948403\pi\) | |||||||
\(432\) | 0.891007 | + | 0.453990i | 0.0428686 | + | 0.0218426i | ||||
\(433\) | 3.06320 | + | 3.06320i | 0.147208 | + | 0.147208i | 0.776870 | − | 0.629661i | \(-0.216806\pi\) |
−0.629661 | + | 0.776870i | \(0.716806\pi\) | |||||||
\(434\) | −22.8610 | + | 5.01196i | −1.09736 | + | 0.240582i | ||||
\(435\) | −11.5119 | − | 13.3556i | −0.551955 | − | 0.640350i | ||||
\(436\) | −1.57176 | − | 4.83739i | −0.0752738 | − | 0.231669i | ||||
\(437\) | −35.2996 | − | 1.84997i | −1.68861 | − | 0.0884961i | ||||
\(438\) | −0.234580 | + | 1.48108i | −0.0112087 | + | 0.0707686i | ||||
\(439\) | −3.70137 | + | 2.13699i | −0.176657 | + | 0.101993i | −0.585721 | − | 0.810513i | \(-0.699189\pi\) |
0.409064 | + | 0.912506i | \(0.365855\pi\) | |||||||
\(440\) | 4.88157 | − | 0.927673i | 0.232720 | − | 0.0442251i | ||||
\(441\) | 1.11524 | + | 10.6108i | 0.0531066 | + | 0.505275i | ||||
\(442\) | −4.18674 | − | 26.4340i | −0.199143 | − | 1.25734i | ||||
\(443\) | 15.0606 | + | 18.5983i | 0.715552 | + | 0.883633i | 0.997115 | − | 0.0759098i | \(-0.0241861\pi\) |
−0.281563 | + | 0.959543i | \(0.590853\pi\) | |||||||
\(444\) | −7.46060 | − | 6.71756i | −0.354065 | − | 0.318801i | ||||
\(445\) | −29.1844 | − | 15.6748i | −1.38347 | − | 0.743056i | ||||
\(446\) | −5.41812 | + | 25.4902i | −0.256555 | + | 1.20700i | ||||
\(447\) | 3.80813 | − | 5.86400i | 0.180118 | − | 0.277358i | ||||
\(448\) | 1.50639 | − | 3.92428i | 0.0711703 | − | 0.185405i | ||||
\(449\) | −7.98855 | + | 24.5862i | −0.377003 | + | 1.16030i | 0.565114 | + | 0.825013i | \(0.308832\pi\) |
−0.942117 | + | 0.335284i | \(0.891168\pi\) | |||||||
\(450\) | −1.58817 | − | 4.74107i | −0.0748671 | − | 0.223496i | ||||
\(451\) | 3.27781 | + | 7.36208i | 0.154346 | + | 0.346667i | ||||
\(452\) | 4.89841 | + | 3.18106i | 0.230402 | + | 0.149625i | ||||
\(453\) | 10.4120 | − | 6.76162i | 0.489198 | − | 0.317689i | ||||
\(454\) | 4.05080 | − | 9.09825i | 0.190114 | − | 0.427002i | ||||
\(455\) | 42.2013 | + | 44.0687i | 1.97843 | + | 2.06597i | ||||
\(456\) | 4.37072 | + | 0.459381i | 0.204677 | + | 0.0215125i | ||||
\(457\) | 2.01596 | − | 0.319296i | 0.0943025 | − | 0.0149360i | −0.109105 | − | 0.994030i | \(-0.534798\pi\) |
0.203407 | + | 0.979094i | \(0.434798\pi\) | |||||||
\(458\) | 7.56775 | − | 9.34539i | 0.353618 | − | 0.436681i | ||||
\(459\) | 3.57044 | + | 2.06139i | 0.166654 | + | 0.0962175i | ||||
\(460\) | −16.9805 | − | 5.92655i | −0.791721 | − | 0.276327i | ||||
\(461\) | −4.72347 | − | 6.50129i | −0.219994 | − | 0.302795i | 0.684728 | − | 0.728799i | \(-0.259921\pi\) |
−0.904721 | + | 0.426004i | \(0.859921\pi\) | |||||||
\(462\) | 0.488863 | − | 9.32806i | 0.0227440 | − | 0.433980i | ||||
\(463\) | −5.76423 | + | 11.3129i | −0.267887 | + | 0.525757i | −0.985288 | − | 0.170903i | \(-0.945332\pi\) |
0.717401 | + | 0.696660i | \(0.245332\pi\) | |||||||
\(464\) | 7.88537 | 0.366069 | ||||||||
\(465\) | −2.40234 | − | 12.2159i | −0.111406 | − | 0.566500i | ||||
\(466\) | −2.25221 | −0.104332 | ||||||||
\(467\) | 8.38325 | − | 16.4530i | 0.387930 | − | 0.761356i | −0.611626 | − | 0.791147i | \(-0.709484\pi\) |
0.999556 | + | 0.0297910i | \(0.00948416\pi\) | |||||||
\(468\) | 0.339745 | − | 6.48272i | 0.0157047 | − | 0.299664i | ||||
\(469\) | 16.1541 | + | 22.2343i | 0.745929 | + | 1.02668i | ||||
\(470\) | −21.8723 | + | 10.5547i | −1.00890 | + | 0.486850i | ||||
\(471\) | 11.3242 | + | 6.53806i | 0.521794 | + | 0.301258i | ||||
\(472\) | −2.08571 | + | 2.57564i | −0.0960028 | + | 0.118554i | ||||
\(473\) | −14.2583 | + | 2.25829i | −0.655596 | + | 0.103836i | ||||
\(474\) | 4.25666 | + | 0.447393i | 0.195515 | + | 0.0205495i | ||||
\(475\) | −13.9830 | − | 16.9508i | −0.641586 | − | 0.777755i | ||||
\(476\) | 7.04876 | − | 15.8318i | 0.323079 | − | 0.725648i | ||||
\(477\) | 4.08464 | − | 2.65260i | 0.187023 | − | 0.121454i | ||||
\(478\) | 13.6184 | + | 8.84391i | 0.622893 | + | 0.404511i | ||||
\(479\) | 7.64955 | + | 17.1812i | 0.349517 | + | 0.785028i | 0.999682 | + | 0.0252345i | \(0.00803325\pi\) |
−0.650165 | + | 0.759793i | \(0.725300\pi\) | |||||||
\(480\) | 2.06972 | + | 0.846325i | 0.0944693 | + | 0.0386293i | ||||
\(481\) | −20.1389 | + | 61.9812i | −0.918255 | + | 2.82610i | ||||
\(482\) | 5.36756 | − | 13.9830i | 0.244486 | − | 0.636907i | ||||
\(483\) | −18.4138 | + | 28.3548i | −0.837859 | + | 1.29019i | ||||
\(484\) | 1.26035 | − | 5.92948i | 0.0572886 | − | 0.269522i | ||||
\(485\) | −1.67874 | − | 5.57433i | −0.0762276 | − | 0.253117i | ||||
\(486\) | 0.743145 | + | 0.669131i | 0.0337097 | + | 0.0303524i | ||||
\(487\) | −20.6023 | − | 25.4417i | −0.933580 | − | 1.15288i | −0.988015 | − | 0.154358i | \(-0.950669\pi\) |
0.0544351 | − | 0.998517i | \(-0.482664\pi\) | |||||||
\(488\) | 0.815559 | + | 5.14924i | 0.0369186 | + | 0.233095i | ||||
\(489\) | 2.20945 | + | 21.0215i | 0.0999149 | + | 0.950627i | ||||
\(490\) | 4.45400 | + | 23.4377i | 0.201211 | + | 1.05881i | ||||
\(491\) | −23.9428 | + | 13.8234i | −1.08052 | + | 0.623840i | −0.931038 | − | 0.364923i | \(-0.881095\pi\) |
−0.149486 | + | 0.988764i | \(0.547762\pi\) | |||||||
\(492\) | −0.567316 | + | 3.58189i | −0.0255766 | + | 0.161484i | ||||
\(493\) | 32.4651 | + | 1.70143i | 1.46216 | + | 0.0766283i | ||||
\(494\) | −8.81604 | − | 27.1330i | −0.396652 | − | 1.22077i | ||||
\(495\) | 4.95533 | + | 0.367379i | 0.222726 | + | 0.0165125i | ||||
\(496\) | 4.83949 | + | 2.75305i | 0.217300 | + | 0.123616i | ||||
\(497\) | 14.9065 | + | 14.9065i | 0.668650 | + | 0.668650i | ||||
\(498\) | 5.49587 | + | 2.80028i | 0.246276 | + | 0.125484i | ||||
\(499\) | 14.5539 | + | 16.1638i | 0.651523 | + | 0.723589i | 0.974891 | − | 0.222684i | \(-0.0714818\pi\) |
−0.323368 | + | 0.946273i | \(0.604815\pi\) | |||||||
\(500\) | −4.41872 | − | 10.2701i | −0.197611 | − | 0.459293i | ||||
\(501\) | −1.87801 | − | 3.25282i | −0.0839035 | − | 0.145325i | ||||
\(502\) | 5.40852 | + | 20.1849i | 0.241394 | + | 0.900894i | ||||
\(503\) | 22.6000 | + | 18.3011i | 1.00768 | + | 0.816007i | 0.982985 | − | 0.183688i | \(-0.0588036\pi\) |
0.0247001 | + | 0.999695i | \(0.492137\pi\) | |||||||
\(504\) | 2.47074 | − | 3.40068i | 0.110056 | − | 0.151479i | ||||
\(505\) | 7.29668 | − | 40.3913i | 0.324698 | − | 1.79739i | ||||
\(506\) | 11.9596 | − | 13.2825i | 0.531668 | − | 0.590477i | ||||
\(507\) | −27.2056 | + | 10.4432i | −1.20824 | + | 0.463800i | ||||
\(508\) | 10.6421 | + | 16.3874i | 0.472167 | + | 0.727074i | ||||
\(509\) | 2.17444 | − | 0.462192i | 0.0963806 | − | 0.0204863i | −0.159469 | − | 0.987203i | \(-0.550978\pi\) |
0.255849 | + | 0.966717i | \(0.417645\pi\) | |||||||
\(510\) | 8.33870 | + | 3.93101i | 0.369244 | + | 0.174068i | ||||
\(511\) | 5.99478 | + | 1.94782i | 0.265193 | + | 0.0861665i | ||||
\(512\) | −0.891007 | + | 0.453990i | −0.0393773 | + | 0.0200637i | ||||
\(513\) | 4.10289 | + | 1.57495i | 0.181147 | + | 0.0695358i | ||||
\(514\) | 2.15658 | + | 10.1459i | 0.0951225 | + | 0.447516i | ||||
\(515\) | −30.6091 | + | 16.7997i | −1.34880 | + | 0.740282i | ||||
\(516\) | −5.93471 | − | 2.64230i | −0.261261 | − | 0.116321i | ||||
\(517\) | −1.26312 | − | 24.1018i | −0.0555521 | − | 1.06000i | ||||
\(518\) | −32.7953 | + | 26.5571i | −1.44094 | + | 1.16685i | ||||
\(519\) | −3.98367 | − | 2.89430i | −0.174864 | − | 0.127046i | ||||
\(520\) | −0.445808 | − | 14.5089i | −0.0195500 | − | 0.636255i | ||||
\(521\) | 18.1478 | − | 31.4329i | 0.795069 | − | 1.37710i | −0.127726 | − | 0.991809i | \(-0.540768\pi\) |
0.922795 | − | 0.385291i | \(-0.125899\pi\) | |||||||
\(522\) | 7.61668 | + | 2.04088i | 0.333373 | + | 0.0893271i | ||||
\(523\) | 40.0905 | + | 6.34971i | 1.75303 | + | 0.277653i | 0.948621 | − | 0.316416i | \(-0.102479\pi\) |
0.804414 | + | 0.594069i | \(0.202479\pi\) | |||||||
\(524\) | −8.72895 | + | 7.85958i | −0.381326 | + | 0.343348i | ||||
\(525\) | −20.7279 | + | 3.47607i | −0.904641 | + | 0.151708i | ||||
\(526\) | − | 1.40780i | − | 0.0613830i | ||||||
\(527\) | 19.3308 | + | 12.3789i | 0.842064 | + | 0.539234i | ||||
\(528\) | −1.57131 | + | 1.57131i | −0.0683827 | + | 0.0683827i | ||||
\(529\) | −39.6519 | + | 12.8837i | −1.72399 | + | 0.560160i | ||||
\(530\) | 8.60984 | − | 6.66885i | 0.373988 | − | 0.289676i | ||||
\(531\) | −2.68127 | + | 1.94806i | −0.116357 | + | 0.0845385i | ||||
\(532\) | 4.78127 | − | 17.8439i | 0.207294 | − | 0.773633i | ||||
\(533\) | 22.7399 | − | 6.09315i | 0.984976 | − | 0.263924i | ||||
\(534\) | 14.7339 | − | 1.54859i | 0.637597 | − | 0.0670142i | ||||
\(535\) | 0.825115 | + | 9.90909i | 0.0356728 | + | 0.428407i | ||||
\(536\) | 0.683425 | − | 6.50235i | 0.0295195 | − | 0.280859i | ||||
\(537\) | −7.18102 | + | 0.376341i | −0.309884 | + | 0.0162403i | ||||
\(538\) | −5.93576 | − | 15.4632i | −0.255909 | − | 0.666665i | ||||
\(539\) | −23.1908 | − | 4.92935i | −0.998897 | − | 0.212322i | ||||
\(540\) | 1.78015 | + | 1.35317i | 0.0766054 | + | 0.0582311i | ||||
\(541\) | −15.3935 | + | 6.85363i | −0.661818 | + | 0.294661i | −0.710025 | − | 0.704177i | \(-0.751316\pi\) |
0.0482062 | + | 0.998837i | \(0.484650\pi\) | |||||||
\(542\) | −6.76033 | − | 13.2679i | −0.290381 | − | 0.569905i | ||||
\(543\) | 6.30737 | + | 12.3789i | 0.270675 | + | 0.531230i | ||||
\(544\) | −3.76635 | + | 1.67689i | −0.161481 | + | 0.0718960i | ||||
\(545\) | −1.53567 | − | 11.2692i | −0.0657808 | − | 0.482721i | ||||
\(546\) | −26.6911 | − | 5.67336i | −1.14227 | − | 0.242798i | ||||
\(547\) | −5.86663 | − | 15.2831i | −0.250839 | − | 0.653458i | 0.749121 | − | 0.662433i | \(-0.230476\pi\) |
−0.999960 | + | 0.00897568i | \(0.997143\pi\) | |||||||
\(548\) | 4.54026 | − | 0.237945i | 0.193950 | − | 0.0101645i | ||||
\(549\) | −0.544951 | + | 5.18486i | −0.0232579 | + | 0.221285i | ||||
\(550\) | 11.1104 | − | 0.100820i | 0.473750 | − | 0.00429896i | ||||
\(551\) | 34.4647 | − | 3.62239i | 1.46825 | − | 0.154319i | ||||
\(552\) | 7.76910 | − | 2.08172i | 0.330675 | − | 0.0886040i | ||||
\(553\) | 4.65650 | − | 17.3783i | 0.198015 | − | 0.739001i | ||||
\(554\) | −7.16045 | + | 5.20237i | −0.304218 | + | 0.221028i | ||||
\(555\) | −13.7464 | − | 17.7473i | −0.583502 | − | 0.753332i | ||||
\(556\) | 1.72034 | − | 0.558971i | 0.0729585 | − | 0.0237056i | ||||
\(557\) | 5.21621 | − | 5.21621i | 0.221018 | − | 0.221018i | −0.587909 | − | 0.808927i | \(-0.700049\pi\) |
0.808927 | + | 0.587909i | \(0.200049\pi\) | |||||||
\(558\) | 3.96205 | + | 3.91180i | 0.167727 | + | 0.165600i | ||||
\(559\) | 42.1718i | 1.78368i | ||||||||
\(560\) | 4.87469 | − | 8.03639i | 0.205993 | − | 0.339599i | ||||
\(561\) | −6.80835 | + | 6.13027i | −0.287449 | + | 0.258820i | ||||
\(562\) | −9.32650 | − | 1.47717i | −0.393415 | − | 0.0623108i | ||||
\(563\) | −30.9856 | − | 8.30258i | −1.30589 | − | 0.349912i | −0.462215 | − | 0.886768i | \(-0.652945\pi\) |
−0.843674 | + | 0.536856i | \(0.819612\pi\) | |||||||
\(564\) | 5.43047 | − | 9.40585i | 0.228664 | − | 0.396058i | ||||
\(565\) | 9.51420 | + | 8.94695i | 0.400265 | + | 0.376401i | ||||
\(566\) | 7.34209 | + | 5.33434i | 0.308611 | + | 0.224219i | ||||
\(567\) | 3.26672 | − | 2.64533i | 0.137189 | − | 0.111094i | ||||
\(568\) | −0.262472 | − | 5.00827i | −0.0110131 | − | 0.210142i | ||||
\(569\) | 18.5877 | + | 8.27576i | 0.779236 | + | 0.346938i | 0.757508 | − | 0.652826i | \(-0.226417\pi\) |
0.0217276 | + | 0.999764i | \(0.493083\pi\) | |||||||
\(570\) | 9.43494 | + | 2.74825i | 0.395186 | + | 0.115112i | ||||
\(571\) | 2.20719 | + | 10.3840i | 0.0923679 | + | 0.434557i | 0.999894 | + | 0.0145610i | \(0.00463506\pi\) |
−0.907526 | + | 0.419996i | \(0.862032\pi\) | |||||||
\(572\) | 13.4674 | + | 5.16964i | 0.563099 | + | 0.216153i | ||||
\(573\) | 1.66818 | − | 0.849979i | 0.0696891 | − | 0.0355084i | ||||
\(574\) | 14.4980 | + | 4.71068i | 0.605134 | + | 0.196620i | ||||
\(575\) | −35.0089 | − | 19.7910i | −1.45997 | − | 0.825344i | ||||
\(576\) | −0.978148 | + | 0.207912i | −0.0407562 | + | 0.00866299i | ||||
\(577\) | −2.18666 | − | 3.36717i | −0.0910320 | − | 0.140177i | 0.790221 | − | 0.612822i | \(-0.209966\pi\) |
−0.881253 | + | 0.472645i | \(0.843299\pi\) | |||||||
\(578\) | 0.00247632 | 0.000950570i | 0.000103001 | 3.95385e-5i | ||||||
\(579\) | 5.76983 | − | 6.40804i | 0.239786 | − | 0.266309i | ||||
\(580\) | 17.3514 | + | 3.13453i | 0.720477 | + | 0.130154i | ||||
\(581\) | 15.2399 | − | 20.9760i | 0.632259 | − | 0.870229i | ||||
\(582\) | 2.02331 | + | 1.63844i | 0.0838687 | + | 0.0679156i | ||||
\(583\) | 2.80115 | + | 10.4540i | 0.116012 | + | 0.432962i | ||||
\(584\) | −0.749770 | − | 1.29864i | −0.0310257 | − | 0.0537381i | ||||
\(585\) | 3.32455 | − | 14.1299i | 0.137453 | − | 0.584198i | ||||
\(586\) | 4.17257 | + | 4.63411i | 0.172367 | + | 0.191433i | ||||
\(587\) | −28.6726 | − | 14.6094i | −1.18345 | − | 0.602996i | −0.252303 | − | 0.967648i | \(-0.581188\pi\) |
−0.931144 | + | 0.364652i | \(0.881188\pi\) | |||||||
\(588\) | −7.54428 | − | 7.54428i | −0.311121 | − | 0.311121i | ||||
\(589\) | 22.4167 | + | 9.80964i | 0.923666 | + | 0.404199i | ||||
\(590\) | −5.61336 | + | 4.83848i | −0.231098 | + | 0.199197i | ||||
\(591\) | −1.30919 | − | 4.02926i | −0.0538527 | − | 0.165742i | ||||
\(592\) | 10.0255 | + | 0.525413i | 0.412044 | + | 0.0215943i | ||||
\(593\) | −0.329888 | + | 2.08283i | −0.0135469 | + | 0.0855317i | −0.993535 | − | 0.113522i | \(-0.963787\pi\) |
0.979989 | + | 0.199054i | \(0.0637868\pi\) | |||||||
\(594\) | −1.92446 | + | 1.11109i | −0.0789615 | + | 0.0455884i | ||||
\(595\) | 21.8038 | − | 32.0351i | 0.893867 | − | 1.31331i | ||||
\(596\) | 0.730865 | + | 6.95372i | 0.0299374 | + | 0.284835i | ||||
\(597\) | 3.57147 | + | 22.5494i | 0.146171 | + | 0.922884i | ||||
\(598\) | −32.8588 | − | 40.5772i | −1.34370 | − | 1.65933i | ||||
\(599\) | −14.6667 | − | 13.2060i | −0.599266 | − | 0.539582i | 0.312698 | − | 0.949853i | \(-0.398767\pi\) |
−0.911964 | + | 0.410271i | \(0.865434\pi\) | |||||||
\(600\) | 4.21789 | + | 2.68503i | 0.172195 | + | 0.109616i | ||||
\(601\) | −0.471154 | + | 2.21661i | −0.0192188 | + | 0.0904172i | −0.986712 | − | 0.162481i | \(-0.948050\pi\) |
0.967493 | + | 0.252898i | \(0.0813837\pi\) | |||||||
\(602\) | −14.8726 | + | 22.9018i | −0.606162 | + | 0.933407i | ||||
\(603\) | 2.34307 | − | 6.10391i | 0.0954172 | − | 0.248570i | ||||
\(604\) | −3.83641 | + | 11.8072i | −0.156101 | + | 0.480430i | ||||
\(605\) | 5.13037 | − | 12.5465i | 0.208579 | − | 0.510088i | ||||
\(606\) | 7.46602 | + | 16.7689i | 0.303286 | + | 0.681192i | ||||
\(607\) | −7.34127 | − | 4.76747i | −0.297973 | − | 0.193506i | 0.386990 | − | 0.922084i | \(-0.373515\pi\) |
−0.684963 | + | 0.728578i | \(0.740182\pi\) | |||||||
\(608\) | −3.68578 | + | 2.39357i | −0.149478 | + | 0.0970723i | ||||
\(609\) | 13.4817 | − | 30.2804i | 0.546305 | − | 1.22702i | ||||
\(610\) | −0.252284 | + | 11.6548i | −0.0102147 | + | 0.471891i | ||||
\(611\) | −70.1188 | − | 7.36979i | −2.83670 | − | 0.298150i | ||||
\(612\) | −4.07203 | + | 0.644946i | −0.164602 | + | 0.0260704i | ||||
\(613\) | −4.53047 | + | 5.59467i | −0.182984 | + | 0.225966i | −0.860381 | − | 0.509651i | \(-0.829775\pi\) |
0.677397 | + | 0.735617i | \(0.263108\pi\) | |||||||
\(614\) | 10.9206 | + | 6.30503i | 0.440721 | + | 0.254450i | ||||
\(615\) | −2.67219 | + | 7.65626i | −0.107753 | + | 0.308730i | ||||
\(616\) | 5.49042 | + | 7.55691i | 0.221215 | + | 0.304477i | ||||
\(617\) | 0.854356 | − | 16.3021i | 0.0343951 | − | 0.656297i | −0.925978 | − | 0.377578i | \(-0.876757\pi\) |
0.960373 | − | 0.278719i | \(-0.0899097\pi\) | |||||||
\(618\) | 7.08908 | − | 13.9131i | 0.285165 | − | 0.559667i | ||||
\(619\) | −26.6419 | −1.07083 | −0.535414 | − | 0.844590i | \(-0.679844\pi\) | ||||
−0.535414 | + | 0.844590i | \(0.679844\pi\) | |||||||
\(620\) | 9.55470 | + | 7.98171i | 0.383726 | + | 0.320553i | ||||
\(621\) | 8.04316 | 0.322761 | ||||||||
\(622\) | 8.88183 | − | 17.4316i | 0.356129 | − | 0.698943i | ||||
\(623\) | 3.25920 | − | 62.1893i | 0.130577 | − | 2.49156i | ||||
\(624\) | 3.81568 | + | 5.25183i | 0.152749 | + | 0.210241i | ||||
\(625\) | −5.64070 | − | 24.3553i | −0.225628 | − | 0.974214i | ||||
\(626\) | 8.95009 | + | 5.16734i | 0.357718 | + | 0.206528i | ||||
\(627\) | −6.14594 | + | 7.58960i | −0.245445 | + | 0.303099i | ||||
\(628\) | −12.9151 | + | 2.04556i | −0.515370 | + | 0.0816265i | ||||
\(629\) | 41.1628 | + | 4.32639i | 1.64127 | + | 0.172504i | ||||
\(630\) | 6.78856 | − | 6.50089i | 0.270463 | − | 0.259002i | ||||
\(631\) | 8.69797 | − | 19.5360i | 0.346261 | − | 0.777714i | −0.653523 | − | 0.756907i | \(-0.726710\pi\) |
0.999784 | − | 0.0208075i | \(-0.00662371\pi\) | |||||||
\(632\) | −3.58960 | + | 2.33112i | −0.142787 | + | 0.0927268i | ||||
\(633\) | 19.0623 | + | 12.3792i | 0.757658 | + | 0.492029i | ||||
\(634\) | −8.30274 | − | 18.6482i | −0.329744 | − | 0.740617i | ||||
\(635\) | 16.9033 | + | 40.2901i | 0.670785 | + | 1.59886i | ||||
\(636\) | −1.50503 | + | 4.63201i | −0.0596783 | + | 0.183671i | ||||
\(637\) | −24.8208 | + | 64.6603i | −0.983434 | + | 2.56193i | ||||
\(638\) | −9.54353 | + | 14.6957i | −0.377832 | + | 0.581810i | ||||
\(639\) | 1.04271 | − | 4.90555i | 0.0412488 | − | 0.194060i | ||||
\(640\) | −2.14108 | + | 0.644798i | −0.0846337 | + | 0.0254879i | ||||
\(641\) | −28.9966 | − | 26.1086i | −1.14530 | − | 1.03123i | −0.999119 | − | 0.0419697i | \(-0.986637\pi\) |
−0.146176 | − | 0.989259i | \(-0.546697\pi\) | |||||||
\(642\) | −2.79847 | − | 3.45583i | −0.110447 | − | 0.136391i | ||||
\(643\) | −3.74796 | − | 23.6637i | −0.147805 | − | 0.933206i | −0.944425 | − | 0.328726i | \(-0.893381\pi\) |
0.796620 | − | 0.604480i | \(-0.206619\pi\) | |||||||
\(644\) | −3.53403 | − | 33.6240i | −0.139260 | − | 1.32497i | ||||
\(645\) | −12.0087 | − | 8.17337i | −0.472842 | − | 0.321826i | ||||
\(646\) | −15.6913 | + | 9.05939i | −0.617367 | + | 0.356437i | ||||
\(647\) | −0.442940 | + | 2.79661i | −0.0174138 | + | 0.109946i | −0.994864 | − | 0.101219i | \(-0.967726\pi\) |
0.977450 | + | 0.211165i | \(0.0677258\pi\) | |||||||
\(648\) | −0.998630 | − | 0.0523360i | −0.0392299 | − | 0.00205595i | ||||
\(649\) | −2.27585 | − | 7.00434i | −0.0893349 | − | 0.274944i | ||||
\(650\) | 4.78646 | − | 32.1032i | 0.187740 | − | 1.25919i | ||||
\(651\) | 18.8460 | − | 13.8771i | 0.738634 | − | 0.543885i | ||||
\(652\) | −14.9464 | − | 14.9464i | −0.585344 | − | 0.585344i | ||||
\(653\) | −32.2026 | − | 16.4080i | −1.26018 | − | 0.642096i | −0.309100 | − | 0.951029i | \(-0.600028\pi\) |
−0.951084 | + | 0.308934i | \(0.900028\pi\) | |||||||
\(654\) | 3.40342 | + | 3.77988i | 0.133084 | + | 0.147805i | ||||
\(655\) | −22.3319 | + | 13.8248i | −0.872580 | + | 0.540178i | ||||
\(656\) | −1.81327 | − | 3.14068i | −0.0707963 | − | 0.122623i | ||||
\(657\) | −0.388109 | − | 1.44844i | −0.0151416 | − | 0.0565092i | ||||
\(658\) | −35.4796 | − | 28.7308i | −1.38314 | − | 1.12004i | ||||
\(659\) | −29.3626 | + | 40.4142i | −1.14381 | + | 1.57431i | −0.385107 | + | 0.922872i | \(0.625835\pi\) |
−0.758699 | + | 0.651441i | \(0.774165\pi\) | |||||||
\(660\) | −4.08222 | + | 2.83298i | −0.158900 | + | 0.110274i | ||||
\(661\) | −24.9942 | + | 27.7589i | −0.972161 | + | 1.07969i | 0.0246340 | + | 0.999697i | \(0.492158\pi\) |
−0.996795 | + | 0.0799977i | \(0.974509\pi\) | |||||||
\(662\) | 2.97445 | − | 1.14178i | 0.115605 | − | 0.0443767i | ||||
\(663\) | 14.5765 | + | 22.4458i | 0.566103 | + | 0.871722i | ||||
\(664\) | −6.03337 | + | 1.28243i | −0.234140 | + | 0.0497680i | ||||
\(665\) | 17.6141 | − | 37.3641i | 0.683046 | − | 1.44892i | ||||
\(666\) | 9.54788 | + | 3.10229i | 0.369973 | + | 0.120211i | ||||
\(667\) | 56.5106 | − | 28.7936i | 2.18810 | − | 1.11489i | ||||
\(668\) | 3.50656 | + | 1.34604i | 0.135673 | + | 0.0520799i | ||||
\(669\) | −5.41812 | − | 25.4902i | −0.209477 | − | 0.985510i | ||||
\(670\) | 4.08860 | − | 14.0364i | 0.157957 | − | 0.542275i | ||||
\(671\) | −10.5835 | − | 4.71210i | −0.408573 | − | 0.181909i | ||||
\(672\) | 0.219993 | + | 4.19772i | 0.00848641 | + | 0.161930i | ||||
\(673\) | 2.13991 | − | 1.73286i | 0.0824874 | − | 0.0667970i | −0.587190 | − | 0.809449i | \(-0.699766\pi\) |
0.669677 | + | 0.742652i | \(0.266432\pi\) | |||||||
\(674\) | 5.98881 | + | 4.35113i | 0.230680 | + | 0.167599i | ||||
\(675\) | 3.37923 | + | 3.68521i | 0.130067 | + | 0.141844i | ||||
\(676\) | 14.5706 | − | 25.2369i | 0.560406 | − | 0.970651i | ||||
\(677\) | 6.22037 | + | 1.66674i | 0.239068 | + | 0.0640581i | 0.376364 | − | 0.926472i | \(-0.377174\pi\) |
−0.137296 | + | 0.990530i | \(0.543841\pi\) | |||||||
\(678\) | −5.76877 | − | 0.913684i | −0.221548 | − | 0.0350898i | ||||
\(679\) | 8.13282 | − | 7.32282i | 0.312109 | − | 0.281024i | ||||
\(680\) | −8.95425 | + | 2.19274i | −0.343380 | + | 0.0840878i | ||||
\(681\) | 9.95927i | 0.381640i | ||||||||
\(682\) | −10.9879 | + | 5.68725i | −0.420750 | + | 0.217776i | ||||
\(683\) | 28.6581 | − | 28.6581i | 1.09657 | − | 1.09657i | 0.101763 | − | 0.994809i | \(-0.467552\pi\) |
0.994809 | − | 0.101763i | \(-0.0324482\pi\) | |||||||
\(684\) | −4.17969 | + | 1.35806i | −0.159815 | + | 0.0519269i | ||||
\(685\) | 10.0852 | + | 1.28122i | 0.385336 | + | 0.0489529i | ||||
\(686\) | −12.4779 | + | 9.06571i | −0.476407 | + | 0.346130i | ||||
\(687\) | −3.11237 | + | 11.6155i | −0.118744 | + | 0.443160i | ||||
\(688\) | 6.27499 | − | 1.68138i | 0.239232 | − | 0.0641019i | ||||
\(689\) | 31.4434 | − | 3.30484i | 1.19790 | − | 0.125904i | ||||
\(690\) | 17.9230 | − | 1.49242i | 0.682318 | − | 0.0568156i | ||||
\(691\) | −2.92312 | + | 27.8116i | −0.111201 | + | 1.05800i | 0.786558 | + | 0.617517i | \(0.211861\pi\) |
−0.897758 | + | 0.440488i | \(0.854805\pi\) | |||||||
\(692\) | 4.91733 | − | 0.257707i | 0.186929 | − | 0.00979653i | ||||
\(693\) | 3.34746 | + | 8.72044i | 0.127160 | + | 0.331262i | ||||
\(694\) | −10.6108 | − | 2.25539i | −0.402780 | − | 0.0856134i | ||||
\(695\) | 4.00771 | − | 0.546135i | 0.152021 | − | 0.0207161i | ||||
\(696\) | −7.20365 | + | 3.20727i | −0.273053 | + | 0.121571i | ||||
\(697\) | −6.78781 | − | 13.3218i | −0.257107 | − | 0.504600i | ||||
\(698\) | −6.65661 | − | 13.0643i | −0.251956 | − | 0.494492i | ||||
\(699\) | 2.05749 | − | 0.916056i | 0.0778216 | − | 0.0346484i | ||||
\(700\) | 13.9211 | − | 15.7459i | 0.526167 | − | 0.595140i | ||||
\(701\) | 7.32451 | + | 1.55687i | 0.276643 | + | 0.0588022i | 0.344144 | − | 0.938917i | \(-0.388169\pi\) |
−0.0675009 | + | 0.997719i | \(0.521503\pi\) | |||||||
\(702\) | 2.32639 | + | 6.06045i | 0.0878039 | + | 0.228737i | ||||
\(703\) | 44.0599 | − | 2.30908i | 1.66175 | − | 0.0870886i | ||||
\(704\) | 0.232280 | − | 2.21000i | 0.00875440 | − | 0.0832925i | ||||
\(705\) | 15.6884 | − | 18.5384i | 0.590860 | − | 0.698198i | ||||
\(706\) | −25.1916 | + | 2.64774i | −0.948097 | + | 0.0996490i | ||||
\(707\) | 74.5295 | − | 19.9701i | 2.80297 | − | 0.751053i | ||||
\(708\) | 0.857787 | − | 3.20130i | 0.0322376 | − | 0.120312i | ||||
\(709\) | −38.0745 | + | 27.6627i | −1.42992 | + | 1.03890i | −0.439885 | + | 0.898054i | \(0.644981\pi\) |
−0.990032 | + | 0.140842i | \(0.955019\pi\) | |||||||
\(710\) | 1.41329 | − | 11.1248i | 0.0530397 | − | 0.417506i | ||||
\(711\) | −4.07063 | + | 1.32263i | −0.152660 | + | 0.0496024i | ||||
\(712\) | −10.4758 | + | 10.4758i | −0.392598 | + | 0.392598i | ||||
\(713\) | 44.7351 | + | 2.05828i | 1.67534 | + | 0.0770833i | ||||
\(714\) | 17.3300i | 0.648560i | ||||||||
\(715\) | 27.5793 | + | 16.7290i | 1.03141 | + | 0.625628i | ||||
\(716\) | 5.34386 | − | 4.81163i | 0.199709 | − | 0.179819i | ||||
\(717\) | −16.0382 | − | 2.54020i | −0.598958 | − | 0.0948656i | ||||
\(718\) | 14.9167 | + | 3.99691i | 0.556686 | + | 0.149164i | ||||
\(719\) | 9.04598 | − | 15.6681i | 0.337358 | − | 0.584322i | −0.646577 | − | 0.762849i | \(-0.723800\pi\) |
0.983935 | + | 0.178527i | \(0.0571333\pi\) | |||||||
\(720\) | −2.23501 | + | 0.0686745i | −0.0832940 | + | 0.00255935i | ||||
\(721\) | −53.1019 | − | 38.5808i | −1.97762 | − | 1.43682i | ||||
\(722\) | −0.244164 | + | 0.197720i | −0.00908684 | + | 0.00735838i | ||||
\(723\) | 0.783878 | + | 14.9573i | 0.0291527 | + | 0.556267i | ||||
\(724\) | −12.6920 | − | 5.65086i | −0.471696 | − | 0.210013i | ||||
\(725\) | 36.9348 | + | 13.7947i | 1.37173 | + | 0.512324i | ||||
\(726\) | 1.26035 | + | 5.92948i | 0.0467759 | + | 0.220063i | ||||
\(727\) | 16.5927 | + | 6.36935i | 0.615390 | + | 0.236226i | 0.646039 | − | 0.763304i | \(-0.276424\pi\) |
−0.0306493 | + | 0.999530i | \(0.509757\pi\) | |||||||
\(728\) | 24.3132 | − | 12.3882i | 0.901108 | − | 0.459138i | ||||
\(729\) | −0.951057 | − | 0.309017i | −0.0352243 | − | 0.0114451i | ||||
\(730\) | −1.13361 | − | 3.15563i | −0.0419567 | − | 0.116795i | ||||
\(731\) | 26.1978 | − | 5.56851i | 0.968959 | − | 0.205959i | ||||
\(732\) | −2.83943 | − | 4.37234i | −0.104948 | − | 0.161607i | ||||
\(733\) | −19.5202 | + | 7.49309i | −0.720994 | + | 0.276764i | −0.691069 | − | 0.722788i | \(-0.742860\pi\) |
−0.0299248 | + | 0.999552i | \(0.509527\pi\) | |||||||
\(734\) | −11.7726 | + | 13.0748i | −0.434534 | + | 0.482599i | ||||
\(735\) | −13.6019 | − | 19.5998i | −0.501713 | − | 0.722948i | ||||
\(736\) | −4.72765 | + | 6.50705i | −0.174264 | + | 0.239853i | ||||
\(737\) | 11.2911 | + | 9.14337i | 0.415914 | + | 0.336800i | ||||
\(738\) | −0.938618 | − | 3.50297i | −0.0345510 | − | 0.128946i | ||||
\(739\) | −9.15924 | − | 15.8643i | −0.336928 | − | 0.583576i | 0.646925 | − | 0.762553i | \(-0.276055\pi\) |
−0.983853 | + | 0.178977i | \(0.942721\pi\) | |||||||
\(740\) | 21.8517 | + | 5.14139i | 0.803285 | + | 0.189001i | ||||
\(741\) | 19.0898 | + | 21.2014i | 0.701282 | + | 0.778853i | ||||
\(742\) | 18.2412 | + | 9.29433i | 0.669654 | + | 0.341206i | ||||
\(743\) | −9.07483 | − | 9.07483i | −0.332923 | − | 0.332923i | 0.520772 | − | 0.853696i | \(-0.325644\pi\) |
−0.853696 | + | 0.520772i | \(0.825644\pi\) | |||||||
\(744\) | −5.54086 | − | 0.546640i | −0.203138 | − | 0.0200408i | ||||
\(745\) | −1.15595 | + | 15.5918i | −0.0423507 | + | 0.571241i | ||||
\(746\) | 3.26515 | + | 10.0491i | 0.119546 | + | 0.367923i | ||||
\(747\) | −6.15970 | − | 0.322816i | −0.225372 | − | 0.0118112i | ||||
\(748\) | 1.43318 | − | 9.04875i | 0.0524023 | − | 0.330855i | ||||
\(749\) | −16.1878 | + | 9.34605i | −0.591490 | + | 0.341497i | ||||
\(750\) | 8.21393 | + | 7.58494i | 0.299930 | + | 0.276963i | ||||
\(751\) | −2.30056 | − | 21.8884i | −0.0839487 | − | 0.798719i | −0.952790 | − | 0.303629i | \(-0.901802\pi\) |
0.868842 | − | 0.495090i | \(-0.164865\pi\) | |||||||
\(752\) | 1.69903 | + | 10.7272i | 0.0619571 | + | 0.391182i | ||||
\(753\) | −13.1508 | − | 16.2399i | −0.479243 | − | 0.591816i | ||||
\(754\) | 38.0407 | + | 34.2520i | 1.38536 | + | 1.24738i | ||||
\(755\) | −13.1353 | + | 24.4562i | −0.478044 | + | 0.890054i | ||||
\(756\) | −0.873952 | + | 4.11162i | −0.0317853 | + | 0.149538i | ||||
\(757\) | −25.1115 | + | 38.6684i | −0.912694 | + | 1.40543i | 0.00143395 | + | 0.999999i | \(0.499544\pi\) |
−0.914128 | + | 0.405426i | \(0.867123\pi\) | |||||||
\(758\) | 7.29064 | − | 18.9928i | 0.264808 | − | 0.689849i | ||||
\(759\) | −5.52315 | + | 16.9985i | −0.200478 | + | 0.617007i | ||||
\(760\) | −9.06185 | + | 3.80180i | −0.328708 | + | 0.137906i | ||||
\(761\) | 0.0787488 | + | 0.176873i | 0.00285464 | + | 0.00641163i | 0.914967 | − | 0.403528i | \(-0.132216\pi\) |
−0.912113 | + | 0.409940i | \(0.865550\pi\) | |||||||
\(762\) | −16.3874 | − | 10.6421i | −0.593653 | − | 0.385523i | ||||
\(763\) | 17.9310 | − | 11.6445i | 0.649146 | − | 0.421560i | ||||
\(764\) | −0.761509 | + | 1.71038i | −0.0275504 | + | 0.0618792i | ||||
\(765\) | −9.21667 | − | 0.199506i | −0.333229 | − | 0.00721317i | ||||
\(766\) | 3.77230 | + | 0.396485i | 0.136299 | + | 0.0143256i | ||||
\(767\) | −21.2499 | + | 3.36565i | −0.767288 | + | 0.121526i | ||||
\(768\) | 0.629320 | − | 0.777146i | 0.0227086 | − | 0.0280428i | ||||
\(769\) | 4.95443 | + | 2.86044i | 0.178661 | + | 0.103150i | 0.586664 | − | 0.809831i | \(-0.300441\pi\) |
−0.408002 | + | 0.912981i | \(0.633774\pi\) | |||||||
\(770\) | 9.07744 | + | 18.8111i | 0.327128 | + | 0.677906i | ||||
\(771\) | −6.09684 | − | 8.39158i | −0.219572 | − | 0.302215i | ||||
\(772\) | −0.451286 | + | 8.61106i | −0.0162422 | + | 0.309919i | ||||
\(773\) | −0.157116 | + | 0.308357i | −0.00565107 | + | 0.0110908i | −0.893815 | − | 0.448436i | \(-0.851981\pi\) |
0.888164 | + | 0.459527i | \(0.151981\pi\) | |||||||
\(774\) | 6.49635 | 0.233506 | ||||||||
\(775\) | 17.8518 | + | 21.3615i | 0.641256 | + | 0.767327i | ||||
\(776\) | −2.60351 | −0.0934605 | ||||||||
\(777\) | 19.1583 | − | 37.6002i | 0.687299 | − | 1.34890i | ||||
\(778\) | −0.835307 | + | 15.9386i | −0.0299472 | + | 0.571427i | ||||
\(779\) | −9.36805 | − | 12.8940i | −0.335645 | − | 0.461976i | ||||
\(780\) | 6.30855 | + | 13.0732i | 0.225882 | + | 0.468095i | ||||
\(781\) | 9.65143 | + | 5.57226i | 0.345355 | + | 0.199391i | ||||
\(782\) | −20.8684 | + | 25.7703i | −0.746252 | + | 0.921545i | ||||
\(783\) | −7.78829 | + | 1.23354i | −0.278331 | + | 0.0440833i | ||||
\(784\) | 10.6108 | + | 1.11524i | 0.378956 | + | 0.0398299i | ||||
\(785\) | −29.2322 | − | 0.632769i | −1.04334 | − | 0.0225845i | ||||
\(786\) | 4.77751 | − | 10.7305i | 0.170408 | − | 0.382743i | ||||
\(787\) | −18.5857 | + | 12.0697i | −0.662507 | + | 0.430237i | −0.831609 | − | 0.555361i | \(-0.812580\pi\) |
0.169102 | + | 0.985599i | \(0.445913\pi\) | |||||||
\(788\) | 3.55313 | + | 2.30743i | 0.126575 | + | 0.0821987i | ||||
\(789\) | 0.572604 | + | 1.28609i | 0.0203852 | + | 0.0457860i | ||||
\(790\) | −8.82539 | + | 3.70260i | −0.313993 | + | 0.131732i | ||||
\(791\) | −7.58673 | + | 23.3496i | −0.269753 | + | 0.830215i | ||||
\(792\) | 0.796356 | − | 2.07458i | 0.0282973 | − | 0.0737169i | ||||
\(793\) | −18.4325 | + | 28.3836i | −0.654558 | + | 1.00793i | ||||
\(794\) | 3.29743 | − | 15.5132i | 0.117021 | − | 0.550542i | ||||
\(795\) | −5.15302 | + | 9.59423i | −0.182759 | + | 0.340272i | ||||
\(796\) | −16.9663 | − | 15.2766i | −0.601356 | − | 0.541463i | ||||
\(797\) | 3.74775 | + | 4.62809i | 0.132752 | + | 0.163935i | 0.839187 | − | 0.543843i | \(-0.183031\pi\) |
−0.706435 | + | 0.707778i | \(0.749698\pi\) | |||||||
\(798\) | 2.88988 | + | 18.2460i | 0.102301 | + | 0.645900i | ||||
\(799\) | 4.68050 | + | 44.5320i | 0.165584 | + | 1.57543i | ||||
\(800\) | −4.96766 | + | 0.567742i | −0.175633 | + | 0.0200727i | ||||
\(801\) | −12.8302 | + | 7.40752i | −0.453333 | + | 0.261732i | ||||
\(802\) | 4.76412 | − | 30.0795i | 0.168227 | − | 1.06214i | ||||
\(803\) | 3.32767 | + | 0.174396i | 0.117431 | + | 0.00615430i | ||||
\(804\) | 2.02041 | + | 6.21817i | 0.0712542 | + | 0.219298i | ||||
\(805\) | 5.58949 | − | 75.3929i | 0.197004 | − | 2.65725i | ||||
\(806\) | 11.3882 | + | 34.3028i | 0.401132 | + | 1.20827i | ||||
\(807\) | 11.7120 | + | 11.7120i | 0.412283 | + | 0.412283i | ||||
\(808\) | −16.3552 | − | 8.33340i | −0.575375 | − | 0.293168i | ||||
\(809\) | −4.03035 | − | 4.47615i | −0.141699 | − | 0.157373i | 0.668118 | − | 0.744056i | \(-0.267100\pi\) |
−0.809817 | + | 0.586683i | \(0.800434\pi\) | |||||||
\(810\) | −2.17663 | − | 0.512130i | −0.0764790 | − | 0.0179944i | ||||
\(811\) | −5.37411 | − | 9.30823i | −0.188710 | − | 0.326856i | 0.756110 | − | 0.654444i | \(-0.227097\pi\) |
−0.944821 | + | 0.327588i | \(0.893764\pi\) | |||||||
\(812\) | 8.57881 | + | 32.0166i | 0.301057 | + | 1.12356i | ||||
\(813\) | 11.5724 | + | 9.37116i | 0.405862 | + | 0.328661i | ||||
\(814\) | −13.1129 | + | 18.0483i | −0.459605 | + | 0.632592i | ||||
\(815\) | −26.9474 | − | 38.8301i | −0.943925 | − | 1.36016i | ||||
\(816\) | 2.75868 | − | 3.06383i | 0.0965731 | − | 0.107255i | ||||
\(817\) | 26.6538 | − | 10.2314i | 0.932498 | − | 0.357953i | ||||
\(818\) | 14.6813 | + | 22.6073i | 0.513321 | + | 0.790445i | ||||
\(819\) | 26.6911 | − | 5.67336i | 0.932662 | − | 0.198243i | ||||
\(820\) | −2.74156 | − | 7.63170i | −0.0957393 | − | 0.266511i | ||||
\(821\) | 40.8694 | + | 13.2793i | 1.42635 | + | 0.463450i | 0.917614 | − | 0.397472i | \(-0.130112\pi\) |
0.508737 | + | 0.860922i | \(0.330112\pi\) | |||||||
\(822\) | −4.05095 | + | 2.06406i | −0.141293 | + | 0.0719924i | ||||
\(823\) | −0.921249 | − | 0.353634i | −0.0321127 | − | 0.0123269i | 0.342259 | − | 0.939606i | \(-0.388808\pi\) |
−0.374371 | + | 0.927279i | \(0.622141\pi\) | |||||||
\(824\) | 3.24655 | + | 15.2738i | 0.113099 | + | 0.532089i | ||||
\(825\) | −10.1089 | + | 4.61112i | −0.351945 | + | 0.160538i | ||||
\(826\) | −12.7269 | − | 5.66637i | −0.442825 | − | 0.197158i | ||||
\(827\) | 0.444331 | + | 8.47834i | 0.0154509 | + | 0.294821i | 0.995415 | + | 0.0956478i | \(0.0304922\pi\) |
−0.979964 | + | 0.199173i | \(0.936174\pi\) | |||||||
\(828\) | −6.25071 | + | 5.06173i | −0.217227 | + | 0.175907i | ||||
\(829\) | −17.1738 | − | 12.4775i | −0.596471 | − | 0.433361i | 0.248154 | − | 0.968721i | \(-0.420176\pi\) |
−0.844624 | + | 0.535359i | \(0.820176\pi\) | |||||||
\(830\) | −13.7859 | + | 0.423595i | −0.478516 | + | 0.0147032i | ||||
\(831\) | 4.42540 | − | 7.66502i | 0.153516 | − | 0.265897i | ||||
\(832\) | −6.27042 | − | 1.68015i | −0.217388 | − | 0.0582489i | ||||
\(833\) | 43.4454 | + | 6.88107i | 1.50529 | + | 0.238415i | ||||
\(834\) | −1.34425 | + | 1.21037i | −0.0465476 | + | 0.0419116i | ||||
\(835\) | 7.18094 | + | 4.35579i | 0.248507 | + | 0.150738i | ||||
\(836\) | − | 9.76599i | − | 0.337764i | ||||||
\(837\) | −5.21058 | − | 1.96210i | −0.180104 | − | 0.0678199i | ||||
\(838\) | 5.71835 | − | 5.71835i | 0.197537 | − | 0.197537i | ||||
\(839\) | 20.5087 | − | 6.66369i | 0.708040 | − | 0.230056i | 0.0672100 | − | 0.997739i | \(-0.478590\pi\) |
0.640830 | + | 0.767683i | \(0.278590\pi\) | |||||||
\(840\) | −1.18456 | + | 9.32432i | −0.0408711 | + | 0.321720i | ||||
\(841\) | −26.8424 | + | 19.5022i | −0.925602 | + | 0.672489i | ||||
\(842\) | 1.55787 | − | 5.81406i | 0.0536878 | − | 0.200366i | ||||
\(843\) | 9.12101 | − | 2.44397i | 0.314144 | − | 0.0841747i | ||||
\(844\) | −22.6047 | + | 2.37585i | −0.778085 | + | 0.0817800i | ||||
\(845\) | 42.0938 | − | 49.7407i | 1.44807 | − | 1.71113i | ||||
\(846\) | −1.13528 | + | 10.8014i | −0.0390316 | + | 0.371361i | ||||
\(847\) | 25.4463 | − | 1.33359i | 0.874346 | − | 0.0458225i | ||||
\(848\) | −1.74539 | − | 4.54689i | −0.0599369 | − | 0.156141i | ||||
\(849\) | −8.87701 | − | 1.88687i | −0.304658 | − | 0.0647571i | ||||
\(850\) | −20.5750 | + | 1.26560i | −0.705718 | + | 0.0434097i | ||||
\(851\) | 73.7662 | − | 32.8428i | 2.52867 | − | 1.12584i | ||||
\(852\) | 2.27683 | + | 4.46852i | 0.0780028 | + | 0.153089i | ||||
\(853\) | 3.13628 | + | 6.15530i | 0.107384 | + | 0.210753i | 0.938445 | − | 0.345428i | \(-0.112266\pi\) |
−0.831061 | + | 0.556181i | \(0.812266\pi\) | |||||||
\(854\) | −20.0199 | + | 8.91343i | −0.685067 | + | 0.305011i | ||||
\(855\) | −9.73706 | + | 1.32688i | −0.333000 | + | 0.0453783i | ||||
\(856\) | 4.34964 | + | 0.924545i | 0.148668 | + | 0.0316003i | ||||
\(857\) | 18.8571 | + | 49.1244i | 0.644146 | + | 1.67806i | 0.731467 | + | 0.681877i | \(0.238836\pi\) |
−0.0873217 | + | 0.996180i | \(0.527831\pi\) | |||||||
\(858\) | −14.4057 | + | 0.754973i | −0.491804 | + | 0.0257743i | ||||
\(859\) | 1.17402 | − | 11.1701i | 0.0400572 | − | 0.381119i | −0.956066 | − | 0.293151i | \(-0.905296\pi\) |
0.996123 | − | 0.0879676i | \(-0.0280372\pi\) | |||||||
\(860\) | 14.4762 | − | 1.20541i | 0.493633 | − | 0.0411041i | ||||
\(861\) | −15.1606 | + | 1.59344i | −0.516671 | + | 0.0543043i | ||||
\(862\) | −21.6744 | + | 5.80763i | −0.738233 | + | 0.197809i | ||||
\(863\) | −4.05429 | + | 15.1308i | −0.138010 | + | 0.515059i | 0.861958 | + | 0.506980i | \(0.169238\pi\) |
−0.999967 | + | 0.00807889i | \(0.997428\pi\) | |||||||
\(864\) | 0.809017 | − | 0.587785i | 0.0275233 | − | 0.0199969i | ||||
\(865\) | 10.9228 | + | 1.38763i | 0.371386 | + | 0.0471807i | ||||
\(866\) | 4.12000 | − | 1.33867i | 0.140003 | − | 0.0454898i | ||||
\(867\) | −0.00187560 | + | 0.00187560i | −6.36987e−5 | + | 6.36987e-5i | ||||
\(868\) | −5.91300 | + | 22.6447i | −0.200700 | + | 0.768611i | ||||
\(869\) | − | 9.51115i | − | 0.322644i | ||||||
\(870\) | −17.1262 | + | 4.19391i | −0.580632 | + | 0.142187i | ||||
\(871\) | 31.5415 | − | 28.4001i | 1.06874 | − | 0.962301i | ||||
\(872\) | −5.02371 | − | 0.795677i | −0.170124 | − | 0.0269450i | ||||
\(873\) | −2.51480 | − | 0.673837i | −0.0851129 | − | 0.0228059i | ||||
\(874\) | −17.6740 | + | 30.6123i | −0.597832 | + | 1.03548i | ||||
\(875\) | 36.8918 | − | 29.1144i | 1.24717 | − | 0.984245i | ||||
\(876\) | 1.21315 | + | 0.881407i | 0.0409886 | + | 0.0297800i | ||||
\(877\) | −29.6826 | + | 24.0365i | −1.00231 | + | 0.811655i | −0.982142 | − | 0.188142i | \(-0.939753\pi\) |
−0.0201681 | + | 0.999797i | \(0.506420\pi\) | |||||||
\(878\) | 0.223683 | + | 4.26812i | 0.00754893 | + | 0.144042i | ||||
\(879\) | −5.69669 | − | 2.53633i | −0.192145 | − | 0.0855483i | ||||
\(880\) | 1.38962 | − | 4.77066i | 0.0468442 | − | 0.160819i | ||||
\(881\) | −1.55414 | − | 7.31165i | −0.0523603 | − | 0.246336i | 0.944182 | − | 0.329425i | \(-0.106855\pi\) |
−0.996542 | + | 0.0830890i | \(0.973521\pi\) | |||||||
\(882\) | 9.96058 | + | 3.82351i | 0.335390 | + | 0.128744i | ||||
\(883\) | 31.5084 | − | 16.0543i | 1.06034 | − | 0.540271i | 0.165295 | − | 0.986244i | \(-0.447142\pi\) |
0.895046 | + | 0.445973i | \(0.147142\pi\) | |||||||
\(884\) | −25.4536 | − | 8.27039i | −0.856098 | − | 0.278163i | ||||
\(885\) | 3.16007 | − | 6.70333i | 0.106225 | − | 0.225330i | ||||
\(886\) | 23.4086 | − | 4.97565i | 0.786428 | − | 0.167160i | ||||
\(887\) | 11.4673 | + | 17.6581i | 0.385033 | + | 0.592899i | 0.977046 | − | 0.213030i | \(-0.0683330\pi\) |
−0.592012 | + | 0.805929i | \(0.701666\pi\) | |||||||
\(888\) | −9.37243 | + | 3.59774i | −0.314518 | + | 0.120732i | ||||
\(889\) | −54.9590 | + | 61.0381i | −1.84326 | + | 2.04715i | ||||
\(890\) | −27.2158 | + | 18.8873i | −0.912275 | + | 0.633102i | ||||
\(891\) | 1.30616 | − | 1.79778i | 0.0437580 | − | 0.0602278i | ||||
\(892\) | 20.2522 | + | 16.3999i | 0.678094 | + | 0.549110i | ||||
\(893\) | 12.3538 | + | 46.1051i | 0.413405 | + | 1.54285i | ||||
\(894\) | −3.49601 | − | 6.05527i | −0.116924 | − | 0.202518i | ||||
\(895\) | 13.6716 | − | 8.46351i | 0.456990 | − | 0.282904i | ||||
\(896\) | −2.81268 | − | 3.12379i | −0.0939649 | − | 0.104359i | ||||
\(897\) | 46.5222 | + | 23.7043i | 1.55333 | + | 0.791462i | ||||
\(898\) | 18.2798 | + | 18.2798i | 0.610004 | + | 0.610004i | ||||
\(899\) | −43.6332 | + | 4.86776i | −1.45525 | + | 0.162349i | ||||
\(900\) | −4.94534 | − | 0.737329i | −0.164845 | − | 0.0245776i | ||||
\(901\) | −6.20491 | − | 19.0968i | −0.206716 | − | 0.636205i | ||||
\(902\) | 8.04776 | + | 0.421765i | 0.267961 | + | 0.0140432i | ||||
\(903\) | 4.27179 | − | 26.9710i | 0.142156 | − | 0.897540i | ||||
\(904\) | 5.05818 | − | 2.92034i | 0.168233 | − | 0.0971291i | ||||
\(905\) | −25.6819 | − | 17.4797i | −0.853696 | − | 0.581044i | ||||
\(906\) | −1.29771 | − | 12.3469i | −0.0431134 | − | 0.410197i | ||||
\(907\) | −2.43048 | − | 15.3455i | −0.0807029 | − | 0.509538i | −0.994616 | − | 0.103628i | \(-0.966955\pi\) |
0.913913 | − | 0.405910i | \(-0.133045\pi\) | |||||||
\(908\) | −6.26757 | − | 7.73981i | −0.207997 | − | 0.256855i | ||||
\(909\) | −13.6411 | − | 12.2825i | −0.452446 | − | 0.407385i | ||||
\(910\) | 58.4245 | − | 17.5949i | 1.93675 | − | 0.583264i | ||||
\(911\) | −4.19625 | + | 19.7418i | −0.139028 | + | 0.654075i | 0.852342 | + | 0.522984i | \(0.175181\pi\) |
−0.991370 | + | 0.131091i | \(0.958152\pi\) | |||||||
\(912\) | 2.39357 | − | 3.68578i | 0.0792592 | − | 0.122048i | ||||
\(913\) | 4.91205 | − | 12.7963i | 0.162565 | − | 0.423496i | ||||
\(914\) | 0.630730 | − | 1.94119i | 0.0208627 | − | 0.0642088i | ||||
\(915\) | −4.50998 | − | 10.7498i | −0.149095 | − | 0.355379i | ||||
\(916\) | −4.89112 | − | 10.9856i | −0.161607 | − | 0.362975i | ||||
\(917\) | −41.4084 | − | 26.8910i | −1.36743 | − | 0.888017i | ||||
\(918\) | 3.45766 | − | 2.24543i | 0.114120 | − | 0.0741102i | ||||
\(919\) | −7.60398 | + | 17.0788i | −0.250832 | + | 0.563379i | −0.994448 | − | 0.105229i | \(-0.966443\pi\) |
0.743616 | + | 0.668607i | \(0.233109\pi\) | |||||||
\(920\) | −12.9896 | + | 12.4392i | −0.428254 | + | 0.410107i | ||||
\(921\) | −12.5410 | − | 1.31811i | −0.413239 | − | 0.0434332i | ||||
\(922\) | −7.93710 | + | 1.25711i | −0.261395 | + | 0.0414008i | ||||
\(923\) | 20.4884 | − | 25.3011i | 0.674384 | − | 0.832794i | ||||
\(924\) | −8.08942 | − | 4.67043i | −0.266122 | − | 0.153646i | ||||
\(925\) | 46.0398 | + | 19.9997i | 1.51378 | + | 0.657585i | ||||
\(926\) | 7.46300 | + | 10.2719i | 0.245249 | + | 0.337557i | ||||
\(927\) | −0.817229 | + | 15.5936i | −0.0268413 | + | 0.512163i | ||||
\(928\) | 3.57988 | − | 7.02592i | 0.117515 | − | 0.230637i | ||||
\(929\) | −3.67499 | −0.120573 | −0.0602863 | − | 0.998181i | \(-0.519201\pi\) | ||||
−0.0602863 | + | 0.998181i | \(0.519201\pi\) | |||||||
\(930\) | −11.9751 | − | 3.40541i | −0.392679 | − | 0.111668i | ||||
\(931\) | 46.8890 | 1.53672 | ||||||||
\(932\) | −1.02248 | + | 2.00673i | −0.0334925 | + | 0.0657327i | ||||
\(933\) | −1.02390 | + | 19.5371i | −0.0335209 | + | 0.639616i | ||||
\(934\) | −10.8539 | − | 14.9391i | −0.355149 | − | 0.488821i | ||||
\(935\) | 6.75063 | − | 19.3416i | 0.220769 | − | 0.632539i | ||||
\(936\) | −5.62191 | − | 3.24581i | −0.183758 | − | 0.106093i | ||||
\(937\) | 16.5006 | − | 20.3765i | 0.539051 | − | 0.665673i | −0.432739 | − | 0.901519i | \(-0.642453\pi\) |
0.971790 | + | 0.235847i | \(0.0757863\pi\) | |||||||
\(938\) | 27.1447 | − | 4.29930i | 0.886306 | − | 0.140377i | ||||
\(939\) | −10.2781 | − | 1.08027i | −0.335412 | − | 0.0352532i | ||||
\(940\) | −0.525574 | + | 24.2801i | −0.0171423 | + | 0.791930i | ||||
\(941\) | −6.05498 | + | 13.5997i | −0.197387 | + | 0.443338i | −0.984937 | − | 0.172912i | \(-0.944682\pi\) |
0.787551 | + | 0.616250i | \(0.211349\pi\) | |||||||
\(942\) | 10.9666 | − | 7.12176i | 0.357310 | − | 0.232040i | ||||
\(943\) | −24.4631 | − | 15.8865i | −0.796627 | − | 0.517335i | ||||
\(944\) | 1.34802 | + | 3.02770i | 0.0438743 | + | 0.0985433i | ||||
\(945\) | −3.55751 | + | 8.70002i | −0.115726 | + | 0.283012i | ||||
\(946\) | −4.46097 | + | 13.7295i | −0.145039 | + | 0.446383i | ||||
\(947\) | 5.26886 | − | 13.7258i | 0.171215 | − | 0.446030i | −0.820945 | − | 0.571008i | \(-0.806553\pi\) |
0.992160 | + | 0.124978i | \(0.0398860\pi\) | |||||||
\(948\) | 2.33112 | − | 3.58960i | 0.0757111 | − | 0.116585i | ||||
\(949\) | 2.02390 | − | 9.52172i | 0.0656987 | − | 0.309088i | ||||
\(950\) | −21.4514 | + | 4.76349i | −0.695976 | + | 0.154548i | ||||
\(951\) | 15.1699 | + | 13.6590i | 0.491916 | + | 0.442923i | ||||
\(952\) | −10.9061 | − | 13.4680i | −0.353470 | − | 0.436499i | ||||
\(953\) | 3.20440 | + | 20.2318i | 0.103801 | + | 0.655373i | 0.983646 | + | 0.180112i | \(0.0576461\pi\) |
−0.879845 | + | 0.475260i | \(0.842354\pi\) | |||||||
\(954\) | −0.509093 | − | 4.84370i | −0.0164825 | − | 0.156821i | ||||
\(955\) | −2.35556 | + | 3.46089i | −0.0762240 | + | 0.111992i | ||||
\(956\) | 14.0626 | − | 8.11906i | 0.454818 | − | 0.262589i | ||||
\(957\) | 2.74115 | − | 17.3069i | 0.0886088 | − | 0.559454i | ||||
\(958\) | 18.7814 | + | 0.984289i | 0.606798 | + | 0.0318009i | ||||
\(959\) | 5.90564 | + | 18.1757i | 0.190703 | + | 0.586924i | ||||
\(960\) | 1.69371 | − | 1.45991i | 0.0546644 | − | 0.0471184i | ||||
\(961\) | −28.4785 | − | 12.2464i | −0.918662 | − | 0.395044i | ||||
\(962\) | 46.0828 | + | 46.0828i | 1.48577 | + | 1.48577i | ||||
\(963\) | 3.96214 | + | 2.01881i | 0.127678 | + | 0.0650553i | ||||
\(964\) | −10.0221 | − | 11.1307i | −0.322790 | − | 0.358495i | ||||
\(965\) | −4.41603 | + | 18.7688i | −0.142157 | + | 0.604190i | ||||
\(966\) | 16.9046 | + | 29.2797i | 0.543897 | + | 0.942058i | ||||
\(967\) | 14.1957 | + | 52.9790i | 0.456502 | + | 1.70369i | 0.683635 | + | 0.729825i | \(0.260398\pi\) |
−0.227133 | + | 0.973864i | \(0.572935\pi\) | |||||||
\(968\) | −4.71101 | − | 3.81490i | −0.151418 | − | 0.122616i | ||||
\(969\) | 10.6499 | − | 14.6584i | 0.342126 | − | 0.470895i | ||||
\(970\) | −5.72889 | − | 1.03492i | −0.183944 | − | 0.0332294i | ||||
\(971\) | −0.349933 | + | 0.388640i | −0.0112299 | + | 0.0124720i | −0.748734 | − | 0.662871i | \(-0.769338\pi\) |
0.737504 | + | 0.675343i | \(0.236004\pi\) | |||||||
\(972\) | 0.933580 | − | 0.358368i | 0.0299446 | − | 0.0114947i | ||||
\(973\) | 4.14118 | + | 6.37686i | 0.132760 | + | 0.204433i | ||||
\(974\) | −32.0220 | + | 6.80649i | −1.02605 | + | 0.218094i | ||||
\(975\) | 8.68491 | + | 31.2746i | 0.278140 | + | 1.00159i | ||||
\(976\) | 4.95826 | + | 1.61104i | 0.158710 | + | 0.0515680i | ||||
\(977\) | 41.4339 | − | 21.1116i | 1.32559 | − | 0.675421i | 0.359383 | − | 0.933190i | \(-0.382987\pi\) |
0.966207 | + | 0.257769i | \(0.0829873\pi\) | |||||||
\(978\) | 19.7334 | + | 7.57494i | 0.631005 | + | 0.242220i | ||||
\(979\) | −6.84478 | − | 32.2022i | −0.218760 | − | 1.02919i | ||||
\(980\) | 22.9052 | + | 6.67193i | 0.731679 | + | 0.213127i | ||||
\(981\) | −4.64659 | − | 2.06880i | −0.148354 | − | 0.0660516i | ||||
\(982\) | 1.44692 | + | 27.6089i | 0.0461731 | + | 0.881034i | ||||
\(983\) | 6.62838 | − | 5.36755i | 0.211412 | − | 0.171198i | −0.517765 | − | 0.855523i | \(-0.673236\pi\) |
0.729178 | + | 0.684324i | \(0.239903\pi\) | |||||||
\(984\) | 2.93393 | + | 2.13163i | 0.0935304 | + | 0.0679538i | ||||
\(985\) | 6.90125 | + | 6.48979i | 0.219892 | + | 0.206782i | ||||
\(986\) | 16.2548 | − | 28.1542i | 0.517660 | − | 0.896613i | ||||
\(987\) | 44.0981 | + | 11.8161i | 1.40366 | + | 0.376109i | ||||
\(988\) | −28.1781 | − | 4.46297i | −0.896463 | − | 0.141986i | ||||
\(989\) | 38.8302 | − | 34.9628i | 1.23473 | − | 1.11175i | ||||
\(990\) | 2.57701 | − | 4.24845i | 0.0819028 | − | 0.135024i | ||||
\(991\) | − | 50.1409i | − | 1.59278i | −0.604785 | − | 0.796389i | \(-0.706741\pi\) | ||
0.604785 | − | 0.796389i | \(-0.293259\pi\) | |||||||
\(992\) | 4.65007 | − | 3.06216i | 0.147640 | − | 0.0972237i | ||||
\(993\) | −2.25289 | + | 2.25289i | −0.0714933 | + | 0.0714933i | ||||
\(994\) | 20.0493 | − | 6.51440i | 0.635924 | − | 0.206624i | ||||
\(995\) | −31.2610 | − | 40.3596i | −0.991040 | − | 1.27949i | ||||
\(996\) | 4.99014 | − | 3.62555i | 0.158119 | − | 0.114880i | ||||
\(997\) | −8.66434 | + | 32.3357i | −0.274402 | + | 1.02408i | 0.681839 | + | 0.731503i | \(0.261181\pi\) |
−0.956241 | + | 0.292581i | \(0.905486\pi\) | |||||||
\(998\) | 21.0094 | − | 5.62944i | 0.665039 | − | 0.178197i | ||||
\(999\) | −9.98424 | + | 1.04939i | −0.315887 | + | 0.0332011i |
(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 | 930.2.bt.b.817.12 | yes | 256 | |
5.3 | odd | 4 | 930.2.bt.a.73.3 | ✓ | 256 | ||
31.17 | odd | 30 | 930.2.bt.a.637.3 | yes | 256 | ||
155.48 | even | 60 | inner | 930.2.bt.b.823.12 | yes | 256 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.bt.a.73.3 | ✓ | 256 | 5.3 | odd | 4 | ||
930.2.bt.a.637.3 | yes | 256 | 31.17 | odd | 30 | ||
930.2.bt.b.817.12 | yes | 256 | 1.1 | even | 1 | trivial | |
930.2.bt.b.823.12 | yes | 256 | 155.48 | even | 60 | inner |