Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [304,2,Mod(5,304)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(304, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([0, 9, 32]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("304.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 304 = 2^{4} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 304.bi (of order \(36\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.42745222145\) |
Analytic rank: | \(0\) |
Dimension: | \(456\) |
Relative dimension: | \(38\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 213.25 | ||
Character | \(\chi\) | \(=\) | 304.213 |
Dual form | 304.2.bi.a.157.25 |
$q$-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 \(\left(\mathbb{Z}/304\mathbb{Z}\right)^\times\).
\(n\) | \(97\) | \(191\) | \(229\) |
\(\chi(n)\) | \(e\left(\frac{1}{9}\right)\) | \(1\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.491099 | + | 1.32621i | 0.347259 | + | 0.937769i | ||||
\(3\) | −0.463391 | − | 0.324470i | −0.267539 | − | 0.187333i | 0.432107 | − | 0.901822i | \(-0.357770\pi\) |
−0.699646 | + | 0.714489i | \(0.746659\pi\) | |||||||
\(4\) | −1.51764 | + | 1.30260i | −0.758822 | + | 0.651298i | ||||
\(5\) | 2.08276 | + | 0.182218i | 0.931438 | + | 0.0814902i | 0.542764 | − | 0.839885i | \(-0.317378\pi\) |
0.388674 | + | 0.921375i | \(0.372933\pi\) | |||||||
\(6\) | 0.202743 | − | 0.773899i | 0.0827695 | − | 0.315943i | ||||
\(7\) | 2.46100 | + | 1.42086i | 0.930169 | + | 0.537034i | 0.886865 | − | 0.462028i | \(-0.152878\pi\) |
0.0433043 | + | 0.999062i | \(0.486212\pi\) | |||||||
\(8\) | −2.47282 | − | 1.37300i | −0.874275 | − | 0.485430i | ||||
\(9\) | −0.916610 | − | 2.51836i | −0.305537 | − | 0.839455i | ||||
\(10\) | 0.781182 | + | 2.85165i | 0.247031 | + | 0.901772i | ||||
\(11\) | −0.910071 | + | 3.39643i | −0.274397 | + | 1.02406i | 0.681848 | + | 0.731494i | \(0.261177\pi\) |
−0.956244 | + | 0.292569i | \(0.905490\pi\) | |||||||
\(12\) | 1.12592 | − | 0.111182i | 0.325024 | − | 0.0320954i | ||||
\(13\) | 3.98237 | + | 5.68742i | 1.10451 | + | 1.57741i | 0.773519 | + | 0.633773i | \(0.218495\pi\) |
0.330993 | + | 0.943633i | \(0.392616\pi\) | |||||||
\(14\) | −0.675756 | + | 3.96157i | −0.180603 | + | 1.05877i | ||||
\(15\) | −0.906008 | − | 0.760231i | −0.233930 | − | 0.196291i | ||||
\(16\) | 0.606485 | − | 3.95375i | 0.151621 | − | 0.988439i | ||||
\(17\) | −0.157983 | − | 0.0575010i | −0.0383165 | − | 0.0139460i | 0.322791 | − | 0.946470i | \(-0.395379\pi\) |
−0.361107 | + | 0.932524i | \(0.617601\pi\) | |||||||
\(18\) | 2.88972 | − | 2.45238i | 0.681114 | − | 0.578031i | ||||
\(19\) | −0.574438 | − | 4.32088i | −0.131785 | − | 0.991278i | ||||
\(20\) | −3.39824 | + | 2.43645i | −0.759870 | + | 0.544807i | ||||
\(21\) | −0.679379 | − | 1.45693i | −0.148253 | − | 0.317929i | ||||
\(22\) | −4.95130 | + | 0.461042i | −1.05562 | + | 0.0982946i | ||||
\(23\) | −3.82660 | + | 4.56037i | −0.797902 | + | 0.950902i | −0.999592 | − | 0.0285468i | \(-0.990912\pi\) |
0.201691 | + | 0.979449i | \(0.435356\pi\) | |||||||
\(24\) | 0.700386 | + | 1.43860i | 0.142966 | + | 0.293652i | ||||
\(25\) | −0.619360 | − | 0.109210i | −0.123872 | − | 0.0218420i | ||||
\(26\) | −5.58695 | + | 8.07453i | −1.09569 | + | 1.58355i | ||||
\(27\) | −0.831624 | + | 3.10366i | −0.160046 | + | 0.597300i | ||||
\(28\) | −5.58572 | + | 1.04933i | −1.05560 | + | 0.198305i | ||||
\(29\) | 4.08278 | − | 8.75555i | 0.758153 | − | 1.62587i | −0.0215910 | − | 0.999767i | \(-0.506873\pi\) |
0.779744 | − | 0.626098i | \(-0.215349\pi\) | |||||||
\(30\) | 0.563283 | − | 1.57490i | 0.102841 | − | 0.287536i | ||||
\(31\) | −1.60746 | + | 2.78421i | −0.288709 | + | 0.500058i | −0.973502 | − | 0.228680i | \(-0.926559\pi\) |
0.684793 | + | 0.728738i | \(0.259893\pi\) | |||||||
\(32\) | 5.54134 | − | 1.13736i | 0.979579 | − | 0.201059i | ||||
\(33\) | 1.52376 | − | 1.27859i | 0.265252 | − | 0.222573i | ||||
\(34\) | −0.00132697 | − | 0.237756i | −0.000227573 | − | 0.0407749i | ||||
\(35\) | 4.86676 | + | 3.40774i | 0.822632 | + | 0.576013i | ||||
\(36\) | 4.67150 | + | 2.62801i | 0.778583 | + | 0.438001i | ||||
\(37\) | −0.980030 | − | 0.980030i | −0.161116 | − | 0.161116i | 0.621945 | − | 0.783061i | \(-0.286343\pi\) |
−0.783061 | + | 0.621945i | \(0.786343\pi\) | |||||||
\(38\) | 5.44827 | − | 2.88380i | 0.883827 | − | 0.467815i | ||||
\(39\) | − | 3.92766i | − | 0.628929i | ||||||
\(40\) | −4.90011 | − | 3.31023i | −0.774775 | − | 0.523393i | ||||
\(41\) | 4.30125 | − | 0.758426i | 0.671742 | − | 0.118446i | 0.172634 | − | 0.984986i | \(-0.444772\pi\) |
0.499108 | + | 0.866540i | \(0.333661\pi\) | |||||||
\(42\) | 1.59855 | − | 1.61649i | 0.246662 | − | 0.249430i | ||||
\(43\) | 4.19770 | + | 0.367252i | 0.640144 | + | 0.0560053i | 0.402607 | − | 0.915373i | \(-0.368104\pi\) |
0.237537 | + | 0.971378i | \(0.423660\pi\) | |||||||
\(44\) | −3.04302 | − | 6.34003i | −0.458752 | − | 0.955796i | ||||
\(45\) | −1.45019 | − | 5.41217i | −0.216181 | − | 0.806798i | ||||
\(46\) | −7.92723 | − | 2.83527i | −1.16881 | − | 0.418038i | ||||
\(47\) | −0.436460 | + | 0.158858i | −0.0636642 | + | 0.0231719i | −0.373656 | − | 0.927567i | \(-0.621896\pi\) |
0.309992 | + | 0.950739i | \(0.399674\pi\) | |||||||
\(48\) | −1.56391 | + | 1.63535i | −0.225732 | + | 0.236042i | ||||
\(49\) | 0.537670 | + | 0.931273i | 0.0768101 | + | 0.133039i | ||||
\(50\) | −0.159332 | − | 0.875032i | −0.0225330 | − | 0.123748i | ||||
\(51\) | 0.0545505 | + | 0.0779061i | 0.00763859 | + | 0.0109090i | ||||
\(52\) | −13.4522 | − | 3.44405i | −1.86549 | − | 0.477604i | ||||
\(53\) | −1.11295 | − | 12.7211i | −0.152875 | − | 1.74737i | −0.555056 | − | 0.831813i | \(-0.687303\pi\) |
0.402181 | − | 0.915560i | \(-0.368252\pi\) | |||||||
\(54\) | −4.52450 | + | 0.421301i | −0.615707 | + | 0.0573318i | ||||
\(55\) | −2.51435 | + | 6.90812i | −0.339035 | + | 0.931490i | ||||
\(56\) | −4.13477 | − | 6.89249i | −0.552532 | − | 0.921048i | ||||
\(57\) | −1.13581 | + | 2.18865i | −0.150441 | + | 0.289893i | ||||
\(58\) | 13.6167 | + | 1.11477i | 1.78796 | + | 0.146376i | ||||
\(59\) | −5.24599 | − | 11.2501i | −0.682970 | − | 1.46463i | −0.875438 | − | 0.483331i | \(-0.839427\pi\) |
0.192467 | − | 0.981303i | \(-0.438351\pi\) | |||||||
\(60\) | 2.36527 | − | 0.0264029i | 0.305355 | − | 0.00340860i | ||||
\(61\) | 14.0953 | − | 1.23318i | 1.80472 | − | 0.157893i | 0.865435 | − | 0.501022i | \(-0.167042\pi\) |
0.939288 | + | 0.343129i | \(0.111487\pi\) | |||||||
\(62\) | −4.48185 | − | 0.764505i | −0.569196 | − | 0.0970922i | ||||
\(63\) | 1.32246 | − | 7.50006i | 0.166615 | − | 0.944919i | ||||
\(64\) | 4.22972 | + | 6.79040i | 0.528715 | + | 0.848800i | ||||
\(65\) | 7.25797 | + | 12.5712i | 0.900241 | + | 1.55926i | ||||
\(66\) | 2.44398 | + | 1.39291i | 0.300834 | + | 0.171455i | ||||
\(67\) | 1.54309 | − | 3.30918i | 0.188519 | − | 0.404280i | −0.789218 | − | 0.614113i | \(-0.789514\pi\) |
0.977737 | + | 0.209832i | \(0.0672918\pi\) | |||||||
\(68\) | 0.314662 | − | 0.118522i | 0.0381584 | − | 0.0143729i | ||||
\(69\) | 3.25292 | − | 0.871616i | 0.391605 | − | 0.104930i | ||||
\(70\) | −2.12931 | + | 8.12786i | −0.254501 | + | 0.971465i | ||||
\(71\) | −4.26271 | − | 5.08010i | −0.505891 | − | 0.602897i | 0.451294 | − | 0.892375i | \(-0.350963\pi\) |
−0.957185 | + | 0.289478i | \(0.906518\pi\) | |||||||
\(72\) | −1.19111 | + | 7.48598i | −0.140374 | + | 0.882232i | ||||
\(73\) | −1.12543 | + | 0.198443i | −0.131721 | + | 0.0232260i | −0.239120 | − | 0.970990i | \(-0.576859\pi\) |
0.107399 | + | 0.994216i | \(0.465748\pi\) | |||||||
\(74\) | 0.818430 | − | 1.78101i | 0.0951405 | − | 0.207038i | ||||
\(75\) | 0.251571 | + | 0.251571i | 0.0290489 | + | 0.0290489i | ||||
\(76\) | 6.50016 | + | 5.80930i | 0.745619 | + | 0.666372i | ||||
\(77\) | −7.06553 | + | 7.06553i | −0.805192 | + | 0.805192i | ||||
\(78\) | 5.20889 | − | 1.92887i | 0.589790 | − | 0.218402i | ||||
\(79\) | −2.45981 | − | 13.9503i | −0.276750 | − | 1.56953i | −0.733348 | − | 0.679854i | \(-0.762043\pi\) |
0.456598 | − | 0.889673i | \(-0.349068\pi\) | |||||||
\(80\) | 1.98361 | − | 8.12420i | 0.221774 | − | 0.908313i | ||||
\(81\) | −4.76656 | + | 3.99962i | −0.529617 | + | 0.444402i | ||||
\(82\) | 3.11817 | + | 5.33188i | 0.344344 | + | 0.588808i | ||||
\(83\) | 3.08579 | + | 11.5163i | 0.338710 | + | 1.26408i | 0.899791 | + | 0.436321i | \(0.143719\pi\) |
−0.561082 | + | 0.827760i | \(0.689615\pi\) | |||||||
\(84\) | 2.92885 | + | 1.32615i | 0.319564 | + | 0.144695i | ||||
\(85\) | −0.318562 | − | 0.148548i | −0.0345529 | − | 0.0161123i | ||||
\(86\) | 1.57444 | + | 5.74738i | 0.169776 | + | 0.619756i | ||||
\(87\) | −4.73284 | + | 2.73251i | −0.507413 | + | 0.292955i | ||||
\(88\) | 6.91376 | − | 7.14925i | 0.737010 | − | 0.762112i | ||||
\(89\) | −7.50585 | − | 1.32348i | −0.795619 | − | 0.140289i | −0.238959 | − | 0.971030i | \(-0.576806\pi\) |
−0.556660 | + | 0.830741i | \(0.687917\pi\) | |||||||
\(90\) | 6.46546 | − | 4.58115i | 0.681520 | − | 0.482896i | ||||
\(91\) | 1.71960 | + | 19.6551i | 0.180263 | + | 2.06042i | ||||
\(92\) | −0.132898 | − | 11.9055i | −0.0138556 | − | 1.24124i | ||||
\(93\) | 1.64827 | − | 0.768603i | 0.170918 | − | 0.0797004i | ||||
\(94\) | −0.425024 | − | 0.500820i | −0.0438378 | − | 0.0516557i | ||||
\(95\) | −0.409075 | − | 9.10403i | −0.0419702 | − | 0.934053i | ||||
\(96\) | −2.93685 | − | 1.27095i | −0.299741 | − | 0.129716i | ||||
\(97\) | −2.26934 | − | 0.825973i | −0.230417 | − | 0.0838649i | 0.224231 | − | 0.974536i | \(-0.428013\pi\) |
−0.454648 | + | 0.890671i | \(0.650235\pi\) | |||||||
\(98\) | −0.971010 | + | 1.17041i | −0.0980868 | + | 0.118229i | ||||
\(99\) | 9.38764 | − | 0.821312i | 0.943493 | − | 0.0825449i | ||||
\(100\) | 1.08222 | − | 0.641035i | 0.108222 | − | 0.0641035i | ||||
\(101\) | −5.87250 | + | 4.11197i | −0.584335 | + | 0.409156i | −0.828020 | − | 0.560699i | \(-0.810533\pi\) |
0.243685 | + | 0.969854i | \(0.421644\pi\) | |||||||
\(102\) | −0.0765299 | + | 0.110605i | −0.00757759 | + | 0.0109515i | ||||
\(103\) | −11.7717 | + | 6.79640i | −1.15990 | + | 0.669669i | −0.951280 | − | 0.308327i | \(-0.900231\pi\) |
−0.208621 | + | 0.977997i | \(0.566898\pi\) | |||||||
\(104\) | −2.03886 | − | 19.5318i | −0.199927 | − | 1.91525i | ||||
\(105\) | −1.14950 | − | 3.15823i | −0.112180 | − | 0.308212i | ||||
\(106\) | 16.3242 | − | 7.72330i | 1.58555 | − | 0.750153i | ||||
\(107\) | 0.426187 | − | 0.114196i | 0.0412010 | − | 0.0110398i | −0.238160 | − | 0.971226i | \(-0.576544\pi\) |
0.279361 | + | 0.960186i | \(0.409877\pi\) | |||||||
\(108\) | −2.78071 | − | 5.79352i | −0.267574 | − | 0.557482i | ||||
\(109\) | −1.48858 | + | 17.0146i | −0.142581 | + | 1.62970i | 0.501790 | + | 0.864990i | \(0.332675\pi\) |
−0.644370 | + | 0.764714i | \(0.722880\pi\) | |||||||
\(110\) | −10.3964 | + | 0.0580243i | −0.991256 | + | 0.00553240i | ||||
\(111\) | 0.136147 | + | 0.772127i | 0.0129225 | + | 0.0732871i | ||||
\(112\) | 7.11028 | − | 8.86845i | 0.671858 | − | 0.837990i | ||||
\(113\) | −1.29281 | −0.121617 | −0.0608086 | − | 0.998149i | \(-0.519368\pi\) | ||||
−0.0608086 | + | 0.998149i | \(0.519368\pi\) | |||||||
\(114\) | −3.46039 | − | 0.431472i | −0.324095 | − | 0.0404110i | ||||
\(115\) | −8.80087 | + | 8.80087i | −0.820685 | + | 0.820685i | ||||
\(116\) | 5.20874 | + | 18.6060i | 0.483620 | + | 1.72753i | ||||
\(117\) | 10.6727 | − | 15.2422i | 0.986693 | − | 1.40914i | ||||
\(118\) | 12.3436 | − | 12.4822i | 1.13632 | − | 1.14908i | ||||
\(119\) | −0.307094 | − | 0.365981i | −0.0281513 | − | 0.0335494i | ||||
\(120\) | 1.19660 | + | 3.12387i | 0.109234 | + | 0.285169i | ||||
\(121\) | −1.18125 | − | 0.681993i | −0.107386 | − | 0.0619994i | ||||
\(122\) | 8.55766 | + | 18.0877i | 0.774774 | + | 1.63758i | ||||
\(123\) | −2.23925 | − | 1.04418i | −0.201906 | − | 0.0941504i | ||||
\(124\) | −1.18714 | − | 6.31931i | −0.106608 | − | 0.567490i | ||||
\(125\) | −11.3675 | − | 3.04590i | −1.01674 | − | 0.272434i | ||||
\(126\) | 10.5961 | − | 1.92941i | 0.943974 | − | 0.171886i | ||||
\(127\) | 0.517314 | − | 2.93383i | 0.0459042 | − | 0.260335i | −0.953215 | − | 0.302292i | \(-0.902248\pi\) |
0.999119 | + | 0.0419569i | \(0.0133592\pi\) | |||||||
\(128\) | −6.92825 | + | 8.94423i | −0.612377 | + | 0.790566i | ||||
\(129\) | −1.82602 | − | 1.53221i | −0.160772 | − | 0.134904i | ||||
\(130\) | −13.1076 | + | 15.7993i | −1.14961 | + | 1.38569i | ||||
\(131\) | −2.50909 | + | 1.17001i | −0.219220 | + | 0.102224i | −0.529126 | − | 0.848543i | \(-0.677480\pi\) |
0.309906 | + | 0.950767i | \(0.399702\pi\) | |||||||
\(132\) | −0.647043 | + | 3.92528i | −0.0563178 | + | 0.341652i | ||||
\(133\) | 4.72567 | − | 11.4499i | 0.409767 | − | 0.992830i | ||||
\(134\) | 5.14646 | + | 0.421328i | 0.444587 | + | 0.0363972i | ||||
\(135\) | −2.29761 | + | 6.31264i | −0.197747 | + | 0.543306i | ||||
\(136\) | 0.311714 | + | 0.359101i | 0.0267293 | + | 0.0307927i | ||||
\(137\) | −5.02057 | + | 5.98328i | −0.428936 | + | 0.511186i | −0.936615 | − | 0.350360i | \(-0.886059\pi\) |
0.507679 | + | 0.861546i | \(0.330504\pi\) | |||||||
\(138\) | 2.75345 | + | 3.88599i | 0.234389 | + | 0.330797i | ||||
\(139\) | 5.08352 | − | 3.55952i | 0.431179 | − | 0.301915i | −0.337766 | − | 0.941230i | \(-0.609671\pi\) |
0.768945 | + | 0.639316i | \(0.220782\pi\) | |||||||
\(140\) | −11.8249 | + | 1.16768i | −0.999387 | + | 0.0986874i | ||||
\(141\) | 0.253796 | + | 0.0680045i | 0.0213735 | + | 0.00572701i | ||||
\(142\) | 4.64385 | − | 8.14806i | 0.389703 | − | 0.683770i | ||||
\(143\) | −22.9412 | + | 8.34991i | −1.91844 | + | 0.698254i | ||||
\(144\) | −10.5129 | + | 2.09670i | −0.876076 | + | 0.174725i | ||||
\(145\) | 10.0989 | − | 17.4917i | 0.838665 | − | 1.45261i | ||||
\(146\) | −0.815871 | − | 1.39509i | −0.0675220 | − | 0.115458i | ||||
\(147\) | 0.0530182 | − | 0.606001i | 0.00437287 | − | 0.0499821i | ||||
\(148\) | 2.76392 | + | 0.210753i | 0.227193 | + | 0.0173238i | ||||
\(149\) | −1.05681 | + | 1.50928i | −0.0865773 | + | 0.123645i | −0.860104 | − | 0.510118i | \(-0.829602\pi\) |
0.773527 | + | 0.633763i | \(0.218491\pi\) | |||||||
\(150\) | −0.210088 | + | 0.457181i | −0.0171537 | + | 0.0373286i | ||||
\(151\) | 1.21159i | 0.0985980i | 0.998784 | + | 0.0492990i | \(0.0156987\pi\) | ||||
−0.998784 | + | 0.0492990i | \(0.984301\pi\) | |||||||
\(152\) | −4.51211 | + | 11.4735i | −0.365980 | + | 0.930623i | ||||
\(153\) | 0.450564i | 0.0364260i | ||||||||
\(154\) | −12.8402 | − | 5.90047i | −1.03469 | − | 0.475474i | ||||
\(155\) | −3.85529 | + | 5.50592i | −0.309664 | + | 0.442246i | ||||
\(156\) | 5.11616 | + | 5.96079i | 0.409620 | + | 0.477245i | ||||
\(157\) | 0.744855 | − | 8.51373i | 0.0594459 | − | 0.679470i | −0.906751 | − | 0.421666i | \(-0.861446\pi\) |
0.966197 | − | 0.257804i | \(-0.0829989\pi\) | |||||||
\(158\) | 17.2929 | − | 10.1132i | 1.37575 | − | 0.804561i | ||||
\(159\) | −3.61187 | + | 6.25595i | −0.286440 | + | 0.496129i | ||||
\(160\) | 11.7485 | − | 1.35912i | 0.928801 | − | 0.107448i | ||||
\(161\) | −15.8969 | + | 5.78600i | −1.25285 | + | 0.456000i | ||||
\(162\) | −7.64517 | − | 4.35723i | −0.600661 | − | 0.342336i | ||||
\(163\) | 17.4138 | + | 4.66601i | 1.36395 | + | 0.365470i | 0.865266 | − | 0.501312i | \(-0.167149\pi\) |
0.498687 | + | 0.866782i | \(0.333816\pi\) | |||||||
\(164\) | −5.53984 | + | 6.75381i | −0.432589 | + | 0.527384i | ||||
\(165\) | 3.40660 | − | 2.38533i | 0.265204 | − | 0.185698i | ||||
\(166\) | −13.7576 | + | 9.74805i | −1.06780 | + | 0.756595i | ||||
\(167\) | 12.2005 | − | 14.5399i | 0.944100 | − | 1.12513i | −0.0478940 | − | 0.998852i | \(-0.515251\pi\) |
0.991994 | − | 0.126283i | \(-0.0403046\pi\) | |||||||
\(168\) | −0.320390 | + | 4.53553i | −0.0247187 | + | 0.349924i | ||||
\(169\) | −12.0412 | + | 33.0829i | −0.926245 | + | 2.54484i | ||||
\(170\) | 0.0405597 | − | 0.495431i | 0.00311079 | − | 0.0379978i | ||||
\(171\) | −10.3550 | + | 5.40721i | −0.791868 | + | 0.413500i | ||||
\(172\) | −6.84900 | + | 4.91056i | −0.522231 | + | 0.374427i | ||||
\(173\) | 1.56751 | − | 0.730941i | 0.119175 | − | 0.0555724i | −0.362116 | − | 0.932133i | \(-0.617946\pi\) |
0.481292 | + | 0.876561i | \(0.340168\pi\) | |||||||
\(174\) | −5.94816 | − | 4.93479i | −0.450929 | − | 0.374105i | ||||
\(175\) | −1.36907 | − | 1.14879i | −0.103492 | − | 0.0868402i | ||||
\(176\) | 12.8767 | + | 5.65809i | 0.970619 | + | 0.426494i | ||||
\(177\) | −1.21936 | + | 6.91535i | −0.0916529 | + | 0.519790i | ||||
\(178\) | −1.93090 | − | 10.6043i | −0.144727 | − | 0.794823i | ||||
\(179\) | −12.5002 | − | 3.34941i | −0.934306 | − | 0.250346i | −0.240616 | − | 0.970620i | \(-0.577349\pi\) |
−0.693690 | + | 0.720274i | \(0.744016\pi\) | |||||||
\(180\) | 9.25074 | + | 6.32474i | 0.689509 | + | 0.471418i | ||||
\(181\) | 6.01631 | + | 2.80545i | 0.447189 | + | 0.208528i | 0.633149 | − | 0.774030i | \(-0.281762\pi\) |
−0.185960 | + | 0.982557i | \(0.559540\pi\) | |||||||
\(182\) | −25.2222 | + | 11.9331i | −1.86960 | + | 0.884544i | ||||
\(183\) | −6.93179 | − | 4.00207i | −0.512412 | − | 0.295841i | ||||
\(184\) | 15.7239 | − | 6.02305i | 1.15918 | − | 0.444025i | ||||
\(185\) | −1.86259 | − | 2.21974i | −0.136940 | − | 0.163199i | ||||
\(186\) | 1.82879 | + | 1.80849i | 0.134093 | + | 0.132605i | ||||
\(187\) | 0.339074 | − | 0.484248i | 0.0247956 | − | 0.0354117i | ||||
\(188\) | 0.455462 | − | 0.809621i | 0.0332180 | − | 0.0590477i | ||||
\(189\) | −6.45648 | + | 6.45648i | −0.469640 | + | 0.469640i | ||||
\(190\) | 11.8729 | − | 5.01349i | 0.861352 | − | 0.363717i | ||||
\(191\) | −4.87539 | −0.352771 | −0.176385 | − | 0.984321i | \(-0.556441\pi\) | ||||
−0.176385 | + | 0.984321i | \(0.556441\pi\) | |||||||
\(192\) | 0.243266 | − | 4.51903i | 0.0175562 | − | 0.326133i | ||||
\(193\) | 0.919310 | + | 5.21366i | 0.0661734 | + | 0.375288i | 0.999852 | + | 0.0171770i | \(0.00546788\pi\) |
−0.933679 | + | 0.358111i | \(0.883421\pi\) | |||||||
\(194\) | −0.0190612 | − | 3.41525i | −0.00136851 | − | 0.245201i | ||||
\(195\) | 0.715690 | − | 8.18037i | 0.0512516 | − | 0.585808i | ||||
\(196\) | −2.02906 | − | 0.712972i | −0.144933 | − | 0.0509266i | ||||
\(197\) | −11.6715 | + | 3.12738i | −0.831563 | + | 0.222817i | −0.649396 | − | 0.760451i | \(-0.724978\pi\) |
−0.182168 | + | 0.983267i | \(0.558311\pi\) | |||||||
\(198\) | 5.69949 | + | 12.0466i | 0.405045 | + | 0.856114i | ||||
\(199\) | 5.51281 | + | 15.1463i | 0.390792 | + | 1.07369i | 0.966641 | + | 0.256137i | \(0.0824497\pi\) |
−0.575848 | + | 0.817557i | \(0.695328\pi\) | |||||||
\(200\) | 1.38162 | + | 1.12044i | 0.0976955 | + | 0.0792272i | ||||
\(201\) | −1.78879 | + | 1.03276i | −0.126171 | + | 0.0728450i | ||||
\(202\) | −8.33729 | − | 5.76876i | −0.586610 | − | 0.405888i | ||||
\(203\) | 22.4881 | − | 15.7463i | 1.57836 | − | 1.10518i | ||||
\(204\) | −0.184268 | − | 0.0471765i | −0.0129014 | − | 0.00330302i | ||||
\(205\) | 9.09666 | − | 0.795855i | 0.635338 | − | 0.0555849i | ||||
\(206\) | −14.7945 | − | 12.2740i | −1.03078 | − | 0.855171i | ||||
\(207\) | 14.9922 | + | 5.45670i | 1.04203 | + | 0.379267i | ||||
\(208\) | 24.9019 | − | 12.2960i | 1.72664 | − | 0.852574i | ||||
\(209\) | 15.1984 | + | 1.98127i | 1.05129 | + | 0.137047i | ||||
\(210\) | 3.62395 | − | 3.07548i | 0.250076 | − | 0.212228i | ||||
\(211\) | 4.81130 | − | 2.24355i | 0.331224 | − | 0.154452i | −0.249891 | − | 0.968274i | \(-0.580395\pi\) |
0.581114 | + | 0.813822i | \(0.302617\pi\) | |||||||
\(212\) | 18.2595 | + | 17.8563i | 1.25407 | + | 1.22638i | ||||
\(213\) | 0.326962 | + | 3.73719i | 0.0224031 | + | 0.256068i | ||||
\(214\) | 0.360748 | + | 0.509130i | 0.0246602 | + | 0.0348034i | ||||
\(215\) | 8.67588 | + | 1.52979i | 0.591690 | + | 0.104331i | ||||
\(216\) | 6.31780 | − | 6.53299i | 0.429872 | − | 0.444513i | ||||
\(217\) | −7.91192 | + | 4.56795i | −0.537096 | + | 0.310092i | ||||
\(218\) | −23.2959 | + | 6.38168i | −1.57780 | + | 0.432222i | ||||
\(219\) | 0.585901 | + | 0.273210i | 0.0395915 | + | 0.0184618i | ||||
\(220\) | −5.18260 | − | 13.7592i | −0.349411 | − | 0.927648i | ||||
\(221\) | −0.302114 | − | 1.12751i | −0.0203224 | − | 0.0758442i | ||||
\(222\) | −0.957138 | + | 0.559750i | −0.0642389 | + | 0.0375679i | ||||
\(223\) | 14.6848 | − | 12.3220i | 0.983366 | − | 0.825142i | −0.00122764 | − | 0.999999i | \(-0.500391\pi\) |
0.984594 | + | 0.174857i | \(0.0559463\pi\) | |||||||
\(224\) | 15.2532 | + | 5.07441i | 1.01915 | + | 0.339048i | ||||
\(225\) | 0.292681 | + | 1.65988i | 0.0195121 | + | 0.110659i | ||||
\(226\) | −0.634896 | − | 1.71453i | −0.0422327 | − | 0.114049i | ||||
\(227\) | 1.44099 | − | 1.44099i | 0.0956419 | − | 0.0956419i | −0.657667 | − | 0.753309i | \(-0.728457\pi\) |
0.753309 | + | 0.657667i | \(0.228457\pi\) | |||||||
\(228\) | −1.12717 | − | 4.80108i | −0.0746488 | − | 0.317960i | ||||
\(229\) | 8.08882 | + | 8.08882i | 0.534524 | + | 0.534524i | 0.921915 | − | 0.387391i | \(-0.126624\pi\) |
−0.387391 | + | 0.921915i | \(0.626624\pi\) | |||||||
\(230\) | −15.9939 | − | 7.34967i | −1.05460 | − | 0.484623i | ||||
\(231\) | 5.56666 | − | 0.981552i | 0.366259 | − | 0.0645814i | ||||
\(232\) | −22.1174 | + | 16.0453i | −1.45208 | + | 1.05342i | ||||
\(233\) | 3.39823 | + | 4.04986i | 0.222626 | + | 0.265315i | 0.865784 | − | 0.500419i | \(-0.166821\pi\) |
−0.643158 | + | 0.765734i | \(0.722376\pi\) | |||||||
\(234\) | 25.4557 | + | 6.66878i | 1.66409 | + | 0.435952i | ||||
\(235\) | −0.937987 | + | 0.251333i | −0.0611875 | + | 0.0163951i | ||||
\(236\) | 22.6159 | + | 10.2402i | 1.47217 | + | 0.666579i | ||||
\(237\) | −3.38659 | + | 7.26256i | −0.219983 | + | 0.471754i | ||||
\(238\) | 0.334552 | − | 0.587003i | 0.0216858 | − | 0.0380498i | ||||
\(239\) | −2.47347 | − | 4.28418i | −0.159995 | − | 0.277120i | 0.774871 | − | 0.632119i | \(-0.217815\pi\) |
−0.934867 | + | 0.354999i | \(0.884481\pi\) | |||||||
\(240\) | −3.55525 | + | 3.12106i | −0.229490 | + | 0.201464i | ||||
\(241\) | 0.919616 | − | 5.21540i | 0.0592377 | − | 0.335954i | −0.940757 | − | 0.339080i | \(-0.889884\pi\) |
0.999995 | + | 0.00312676i | \(0.000995280\pi\) | |||||||
\(242\) | 0.324354 | − | 1.90150i | 0.0208503 | − | 0.122233i | ||||
\(243\) | 13.1093 | − | 1.14691i | 0.840962 | − | 0.0735746i | ||||
\(244\) | −19.7854 | + | 20.2321i | −1.26663 | + | 1.29523i | ||||
\(245\) | 0.950143 | + | 2.03759i | 0.0607024 | + | 0.130177i | ||||
\(246\) | 0.285103 | − | 3.48250i | 0.0181775 | − | 0.222036i | ||||
\(247\) | 22.2870 | − | 20.4744i | 1.41809 | − | 1.30276i | ||||
\(248\) | 7.79770 | − | 4.67780i | 0.495154 | − | 0.297040i | ||||
\(249\) | 2.30677 | − | 6.33781i | 0.146186 | − | 0.401642i | ||||
\(250\) | −1.54305 | − | 16.5714i | −0.0975912 | − | 1.04807i | ||||
\(251\) | −2.14139 | − | 24.4762i | −0.135163 | − | 1.54492i | −0.696634 | − | 0.717427i | \(-0.745320\pi\) |
0.561471 | − | 0.827497i | \(-0.310236\pi\) | |||||||
\(252\) | 7.76252 | + | 13.1051i | 0.488993 | + | 0.825541i | ||||
\(253\) | −12.0065 | − | 17.1471i | −0.754842 | − | 1.07803i | ||||
\(254\) | 4.14492 | − | 0.754737i | 0.260075 | − | 0.0473564i | ||||
\(255\) | 0.0994196 | + | 0.172200i | 0.00622589 | + | 0.0107836i | ||||
\(256\) | −15.2644 | − | 4.79579i | −0.954022 | − | 0.299737i | ||||
\(257\) | −3.46094 | + | 1.25968i | −0.215887 | + | 0.0785766i | −0.447700 | − | 0.894184i | \(-0.647757\pi\) |
0.231812 | + | 0.972760i | \(0.425534\pi\) | |||||||
\(258\) | 1.13527 | − | 3.17414i | 0.0706789 | − | 0.197613i | ||||
\(259\) | −1.01937 | − | 3.80433i | −0.0633404 | − | 0.236390i | ||||
\(260\) | −27.3902 | − | 9.62436i | −1.69867 | − | 0.596878i | ||||
\(261\) | −25.7920 | − | 2.25651i | −1.59648 | − | 0.139674i | ||||
\(262\) | −2.78388 | − | 2.75298i | −0.171989 | − | 0.170080i | ||||
\(263\) | −10.6322 | + | 1.87474i | −0.655607 | + | 0.115601i | −0.491550 | − | 0.870849i | \(-0.663569\pi\) |
−0.164058 | + | 0.986451i | \(0.552458\pi\) | |||||||
\(264\) | −5.52349 | + | 1.06959i | −0.339948 | + | 0.0658287i | ||||
\(265\) | − | 26.6977i | − | 1.64003i | ||||||
\(266\) | 17.5057 | + | 0.644186i | 1.07334 | + | 0.0394976i | ||||
\(267\) | 3.04871 | + | 3.04871i | 0.186578 | + | 0.186578i | ||||
\(268\) | 1.96865 | + | 7.03218i | 0.120255 | + | 0.429559i | ||||
\(269\) | −7.62799 | − | 5.34117i | −0.465087 | − | 0.325657i | 0.317436 | − | 0.948280i | \(-0.397178\pi\) |
−0.782522 | + | 0.622623i | \(0.786067\pi\) | |||||||
\(270\) | −9.50022 | + | 0.0530226i | −0.578165 | + | 0.00322685i | ||||
\(271\) | −7.39469 | + | 6.20488i | −0.449195 | + | 0.376919i | −0.839137 | − | 0.543920i | \(-0.816940\pi\) |
0.389942 | + | 0.920839i | \(0.372495\pi\) | |||||||
\(272\) | −0.323159 | + | 0.589752i | −0.0195944 | + | 0.0357589i | ||||
\(273\) | 5.58065 | − | 9.66596i | 0.337756 | − | 0.585011i | ||||
\(274\) | −10.4007 | − | 3.71992i | −0.628326 | − | 0.224729i | ||||
\(275\) | 0.934586 | − | 2.00423i | 0.0563577 | − | 0.120859i | ||||
\(276\) | −3.80140 | + | 5.56004i | −0.228818 | + | 0.334675i | ||||
\(277\) | −5.47714 | + | 20.4410i | −0.329090 | + | 1.22818i | 0.581047 | + | 0.813870i | \(0.302643\pi\) |
−0.910136 | + | 0.414309i | \(0.864023\pi\) | |||||||
\(278\) | 7.21717 | + | 4.99372i | 0.432857 | + | 0.299504i | ||||
\(279\) | 8.48506 | + | 1.49614i | 0.507987 | + | 0.0895719i | ||||
\(280\) | −7.35579 | − | 15.1088i | −0.439593 | − | 0.902925i | ||||
\(281\) | 2.76626 | − | 3.29670i | 0.165021 | − | 0.196665i | −0.677196 | − | 0.735802i | \(-0.736805\pi\) |
0.842218 | + | 0.539138i | \(0.181250\pi\) | |||||||
\(282\) | 0.0344511 | + | 0.369983i | 0.00205153 | + | 0.0220322i | ||||
\(283\) | 5.21454 | + | 11.1826i | 0.309973 | + | 0.664738i | 0.998150 | − | 0.0608045i | \(-0.0193666\pi\) |
−0.688177 | + | 0.725543i | \(0.741589\pi\) | |||||||
\(284\) | 13.0866 | + | 2.15719i | 0.776547 | + | 0.128006i | ||||
\(285\) | −2.76442 | + | 4.35146i | −0.163750 | + | 0.257758i | ||||
\(286\) | −22.3401 | − | 26.3241i | −1.32100 | − | 1.55658i | ||||
\(287\) | 11.6630 | + | 4.24498i | 0.688444 | + | 0.250573i | ||||
\(288\) | −7.94353 | − | 12.9126i | −0.468077 | − | 0.760882i | ||||
\(289\) | −13.0011 | − | 10.9092i | −0.764771 | − | 0.641719i | ||||
\(290\) | 28.1572 | + | 4.80299i | 1.65345 | + | 0.282042i | ||||
\(291\) | 0.783590 | + | 1.11908i | 0.0459349 | + | 0.0656018i | ||||
\(292\) | 1.44950 | − | 1.76714i | 0.0848258 | − | 0.103414i | ||||
\(293\) | −1.59581 | + | 5.95566i | −0.0932284 | + | 0.347933i | −0.996745 | − | 0.0806201i | \(-0.974310\pi\) |
0.903516 | + | 0.428553i | \(0.140977\pi\) | |||||||
\(294\) | 0.829720 | − | 0.227293i | 0.0483902 | − | 0.0132560i | ||||
\(295\) | −8.87618 | − | 24.3871i | −0.516791 | − | 1.41987i | ||||
\(296\) | 1.07786 | + | 3.76903i | 0.0626491 | + | 0.219070i | ||||
\(297\) | −9.78454 | − | 5.64911i | −0.567757 | − | 0.327794i | ||||
\(298\) | −2.52062 | − | 0.660342i | −0.146015 | − | 0.0382526i | ||||
\(299\) | −41.1757 | − | 3.60241i | −2.38125 | − | 0.208333i | ||||
\(300\) | −0.709490 | − | 0.0540996i | −0.0409624 | − | 0.00312344i | ||||
\(301\) | 9.80873 | + | 6.86814i | 0.565366 | + | 0.395873i | ||||
\(302\) | −1.60682 | + | 0.595012i | −0.0924622 | + | 0.0342391i | ||||
\(303\) | 4.05547 | 0.232981 | ||||||||
\(304\) | −17.4321 | − | 0.349363i | −0.999799 | − | 0.0200374i | ||||
\(305\) | 29.5819 | 1.69385 | ||||||||
\(306\) | −0.597541 | + | 0.221272i | −0.0341591 | + | 0.0126493i | ||||
\(307\) | 24.2497 | + | 16.9798i | 1.38400 | + | 0.969089i | 0.998932 | + | 0.0462014i | \(0.0147116\pi\) |
0.385070 | + | 0.922887i | \(0.374177\pi\) | |||||||
\(308\) | 1.51942 | − | 19.9265i | 0.0865772 | − | 1.13542i | ||||
\(309\) | 7.66014 | + | 0.670175i | 0.435770 | + | 0.0381249i | ||||
\(310\) | −9.19531 | − | 2.40895i | −0.522258 | − | 0.136819i | ||||
\(311\) | −3.11047 | − | 1.79583i | −0.176378 | − | 0.101832i | 0.409212 | − | 0.912440i | \(-0.365804\pi\) |
−0.585590 | + | 0.810607i | \(0.699137\pi\) | |||||||
\(312\) | −5.39270 | + | 9.71242i | −0.305301 | + | 0.549857i | ||||
\(313\) | 5.65398 | + | 15.5342i | 0.319582 | + | 0.878045i | 0.990623 | + | 0.136624i | \(0.0436253\pi\) |
−0.671041 | + | 0.741420i | \(0.734152\pi\) | |||||||
\(314\) | 11.6568 | − | 3.19325i | 0.657829 | − | 0.180206i | ||||
\(315\) | 4.12101 | − | 15.3798i | 0.232193 | − | 0.866556i | ||||
\(316\) | 21.9047 | + | 17.9674i | 1.23223 | + | 1.01074i | ||||
\(317\) | 10.4302 | + | 14.8959i | 0.585818 | + | 0.836635i | 0.997196 | − | 0.0748297i | \(-0.0238413\pi\) |
−0.411378 | + | 0.911465i | \(0.634952\pi\) | |||||||
\(318\) | −10.0705 | − | 1.71780i | −0.564724 | − | 0.0963294i | ||||
\(319\) | 26.0220 | + | 21.8351i | 1.45695 | + | 1.22253i | ||||
\(320\) | 7.57215 | + | 14.9135i | 0.423296 | + | 0.833689i | ||||
\(321\) | −0.234545 | − | 0.0853672i | −0.0130910 | − | 0.00476473i | ||||
\(322\) | −15.4804 | − | 18.2411i | −0.862687 | − | 1.01653i | ||||
\(323\) | −0.157704 | + | 0.715656i | −0.00877488 | + | 0.0398202i | ||||
\(324\) | 2.02405 | − | 12.2789i | 0.112447 | − | 0.682161i | ||||
\(325\) | −1.84540 | − | 3.95748i | −0.102364 | − | 0.219521i | ||||
\(326\) | 2.36380 | + | 25.3857i | 0.130919 | + | 1.40599i | ||||
\(327\) | 6.21052 | − | 7.40141i | 0.343443 | − | 0.409299i | ||||
\(328\) | −11.6776 | − | 4.03018i | −0.644785 | − | 0.222529i | ||||
\(329\) | −1.29984 | − | 0.229197i | −0.0716626 | − | 0.0126360i | ||||
\(330\) | 4.83642 | + | 3.34642i | 0.266236 | + | 0.184215i | ||||
\(331\) | −6.49448 | + | 24.2377i | −0.356969 | + | 1.33223i | 0.521020 | + | 0.853545i | \(0.325552\pi\) |
−0.877989 | + | 0.478681i | \(0.841115\pi\) | |||||||
\(332\) | −19.6843 | − | 13.4581i | −1.08031 | − | 0.738612i | ||||
\(333\) | −1.56977 | + | 3.36638i | −0.0860227 | + | 0.184476i | ||||
\(334\) | 25.2746 | + | 9.03978i | 1.38296 | + | 0.494635i | ||||
\(335\) | 3.81688 | − | 6.61104i | 0.208539 | − | 0.361200i | ||||
\(336\) | −6.17239 | + | 1.80249i | −0.336731 | + | 0.0983338i | ||||
\(337\) | −8.07395 | + | 6.77485i | −0.439816 | + | 0.369049i | −0.835641 | − | 0.549277i | \(-0.814903\pi\) |
0.395825 | + | 0.918326i | \(0.370459\pi\) | |||||||
\(338\) | −49.7881 | + | 0.277877i | −2.70812 | + | 0.0151145i | ||||
\(339\) | 0.599076 | + | 0.419477i | 0.0325373 | + | 0.0227829i | ||||
\(340\) | 0.676962 | − | 0.189515i | 0.0367134 | − | 0.0102779i | ||||
\(341\) | −7.99346 | − | 7.99346i | −0.432870 | − | 0.432870i | ||||
\(342\) | −12.2564 | − | 11.0774i | −0.662751 | − | 0.598998i | ||||
\(343\) | − | 16.8362i | − | 0.909069i | ||||||
\(344\) | −9.87595 | − | 6.67162i | −0.532475 | − | 0.359709i | ||||
\(345\) | 6.93386 | − | 1.22263i | 0.373307 | − | 0.0658240i | ||||
\(346\) | 1.73918 | + | 1.71987i | 0.0934989 | + | 0.0924610i | ||||
\(347\) | −0.156408 | − | 0.0136839i | −0.00839641 | − | 0.000734590i | 0.0829568 | − | 0.996553i | \(-0.473564\pi\) |
−0.0913532 | + | 0.995819i | \(0.529119\pi\) | |||||||
\(348\) | 3.62341 | − | 10.3119i | 0.194235 | − | 0.552778i | ||||
\(349\) | −3.97762 | − | 14.8447i | −0.212917 | − | 0.794618i | −0.986889 | − | 0.161398i | \(-0.948400\pi\) |
0.773972 | − | 0.633220i | \(-0.218267\pi\) | |||||||
\(350\) | 0.851179 | − | 2.37984i | 0.0454975 | − | 0.127208i | ||||
\(351\) | −20.9637 | + | 7.63015i | −1.11896 | + | 0.407267i | ||||
\(352\) | −1.18004 | + | 19.8559i | −0.0628966 | + | 1.05832i | ||||
\(353\) | −3.96463 | − | 6.86694i | −0.211016 | − | 0.365490i | 0.741017 | − | 0.671486i | \(-0.234344\pi\) |
−0.952033 | + | 0.305996i | \(0.901010\pi\) | |||||||
\(354\) | −9.77001 | + | 1.77899i | −0.519270 | + | 0.0945525i | ||||
\(355\) | −7.95251 | − | 11.3574i | −0.422075 | − | 0.602786i | ||||
\(356\) | 13.1152 | − | 7.76852i | 0.695103 | − | 0.411731i | ||||
\(357\) | 0.0235550 | + | 0.269235i | 0.00124666 | + | 0.0142494i | ||||
\(358\) | −1.69681 | − | 18.2227i | −0.0896792 | − | 0.963098i | ||||
\(359\) | −2.55718 | + | 7.02581i | −0.134963 | + | 0.370808i | −0.988702 | − | 0.149893i | \(-0.952107\pi\) |
0.853739 | + | 0.520701i | \(0.174329\pi\) | |||||||
\(360\) | −3.84488 | + | 15.3745i | −0.202643 | + | 0.810305i | ||||
\(361\) | −18.3400 | + | 4.96416i | −0.965265 | + | 0.261272i | ||||
\(362\) | −0.766003 | + | 9.35663i | −0.0402602 | + | 0.491773i | ||||
\(363\) | 0.326093 | + | 0.699309i | 0.0171154 | + | 0.0367042i | ||||
\(364\) | −28.2124 | − | 27.5895i | −1.47873 | − | 1.44608i | ||||
\(365\) | −2.38015 | + | 0.208236i | −0.124583 | + | 0.0108996i | ||||
\(366\) | 1.90337 | − | 11.1584i | 0.0994910 | − | 0.583258i | ||||
\(367\) | 4.08320 | − | 23.1570i | 0.213141 | − | 1.20878i | −0.670961 | − | 0.741492i | \(-0.734118\pi\) |
0.884103 | − | 0.467292i | \(-0.154770\pi\) | |||||||
\(368\) | 15.7098 | + | 17.8952i | 0.818930 | + | 0.932854i | ||||
\(369\) | −5.85256 | − | 10.1369i | −0.304672 | − | 0.527708i | ||||
\(370\) | 2.02912 | − | 3.56029i | 0.105489 | − | 0.185090i | ||||
\(371\) | 15.3359 | − | 32.8879i | 0.796198 | − | 1.70745i | ||||
\(372\) | −1.50031 | + | 3.31350i | −0.0777877 | + | 0.171797i | ||||
\(373\) | 4.10934 | − | 1.10110i | 0.212774 | − | 0.0570126i | −0.150858 | − | 0.988556i | \(-0.548203\pi\) |
0.363631 | + | 0.931543i | \(0.381537\pi\) | |||||||
\(374\) | 0.808731 | + | 0.211868i | 0.0418185 | + | 0.0109555i | ||||
\(375\) | 4.27927 | + | 5.09984i | 0.220981 | + | 0.263355i | ||||
\(376\) | 1.29740 | + | 0.206432i | 0.0669084 | + | 0.0106459i | ||||
\(377\) | 66.0557 | − | 11.6474i | 3.40204 | − | 0.599871i | ||||
\(378\) | −11.7334 | − | 5.39185i | −0.603501 | − | 0.277327i | ||||
\(379\) | 9.72149 | + | 9.72149i | 0.499359 | + | 0.499359i | 0.911238 | − | 0.411879i | \(-0.135127\pi\) |
−0.411879 | + | 0.911238i | \(0.635127\pi\) | |||||||
\(380\) | 12.4797 | + | 13.2838i | 0.640195 | + | 0.681445i | ||||
\(381\) | −1.19166 | + | 1.19166i | −0.0610505 | + | 0.0610505i | ||||
\(382\) | −2.39430 | − | 6.46577i | −0.122503 | − | 0.330818i | ||||
\(383\) | 0.875830 | + | 4.96708i | 0.0447528 | + | 0.253806i | 0.998974 | − | 0.0452975i | \(-0.0144236\pi\) |
−0.954221 | + | 0.299103i | \(0.903312\pi\) | |||||||
\(384\) | 6.11263 | − | 1.89667i | 0.311934 | − | 0.0967889i | ||||
\(385\) | −16.0033 | + | 13.4283i | −0.815601 | + | 0.684371i | ||||
\(386\) | −6.46292 | + | 3.77962i | −0.328954 | + | 0.192378i | ||||
\(387\) | −2.92278 | − | 10.9080i | −0.148573 | − | 0.554484i | ||||
\(388\) | 4.51996 | − | 1.70250i | 0.229466 | − | 0.0864316i | ||||
\(389\) | 26.0383 | + | 12.1418i | 1.32019 | + | 0.615616i | 0.949683 | − | 0.313213i | \(-0.101405\pi\) |
0.370510 | + | 0.928829i | \(0.379183\pi\) | |||||||
\(390\) | 11.2003 | − | 3.06822i | 0.567151 | − | 0.155365i | ||||
\(391\) | 0.866763 | − | 0.500426i | 0.0438341 | − | 0.0253076i | ||||
\(392\) | −0.0509231 | − | 3.04110i | −0.00257201 | − | 0.153599i | ||||
\(393\) | 1.54232 | + | 0.271953i | 0.0777999 | + | 0.0137182i | ||||
\(394\) | −9.87943 | − | 13.9430i | −0.497719 | − | 0.702439i | ||||
\(395\) | −2.58120 | − | 29.5032i | −0.129874 | − | 1.48447i | ||||
\(396\) | −13.1773 | + | 13.4748i | −0.662182 | + | 0.677132i | ||||
\(397\) | 4.11334 | − | 1.91808i | 0.206443 | − | 0.0962657i | −0.316647 | − | 0.948543i | \(-0.602557\pi\) |
0.523090 | + | 0.852278i | \(0.324779\pi\) | |||||||
\(398\) | −17.3798 | + | 14.7494i | −0.871170 | + | 0.739323i | ||||
\(399\) | −5.90497 | + | 3.77243i | −0.295618 | + | 0.188858i | ||||
\(400\) | −0.807422 | + | 2.38256i | −0.0403711 | + | 0.119128i | ||||
\(401\) | 12.8547 | + | 4.67872i | 0.641932 | + | 0.233644i | 0.642417 | − | 0.766356i | \(-0.277932\pi\) |
−0.000484254 | 1.00000i | \(0.500154\pi\) | ||||||||
\(402\) | −2.24812 | − | 1.86511i | −0.112126 | − | 0.0930234i | ||||
\(403\) | −22.2365 | + | 1.94544i | −1.10768 | + | 0.0969092i | ||||
\(404\) | 3.55612 | − | 13.8900i | 0.176924 | − | 0.691053i | ||||
\(405\) | −10.6564 | + | 7.46168i | −0.529520 | + | 0.370774i | ||||
\(406\) | 31.9268 | + | 22.0908i | 1.58450 | + | 1.09635i | ||||
\(407\) | 4.22050 | − | 2.43671i | 0.209203 | − | 0.120783i | ||||
\(408\) | −0.0279282 | − | 0.267546i | −0.00138265 | − | 0.0132455i | ||||
\(409\) | 1.13510 | + | 3.11865i | 0.0561269 | + | 0.154207i | 0.964587 | − | 0.263763i | \(-0.0849638\pi\) |
−0.908461 | + | 0.417970i | \(0.862742\pi\) | |||||||
\(410\) | 5.52283 | + | 11.6732i | 0.272753 | + | 0.576498i | ||||
\(411\) | 4.26788 | − | 1.14357i | 0.210519 | − | 0.0564084i | ||||
\(412\) | 9.01230 | − | 25.6483i | 0.444004 | − | 1.26360i | ||||
\(413\) | 3.07437 | − | 35.1402i | 0.151280 | − | 1.72914i | ||||
\(414\) | 0.125926 | + | 22.5625i | 0.00618891 | + | 1.10889i | ||||
\(415\) | 4.32848 | + | 24.5480i | 0.212477 | + | 1.20501i | ||||
\(416\) | 28.5363 | + | 26.9865i | 1.39911 | + | 1.32312i | ||||
\(417\) | −3.51062 | −0.171916 | ||||||||
\(418\) | 4.83633 | + | 21.1292i | 0.236553 | + | 1.03346i | ||||
\(419\) | −13.1827 | + | 13.1827i | −0.644017 | + | 0.644017i | −0.951541 | − | 0.307523i | \(-0.900500\pi\) |
0.307523 | + | 0.951541i | \(0.400500\pi\) | |||||||
\(420\) | 5.85844 | + | 3.29573i | 0.285862 | + | 0.160815i | ||||
\(421\) | −12.2918 | + | 17.5545i | −0.599065 | + | 0.855553i | −0.998115 | − | 0.0613758i | \(-0.980451\pi\) |
0.399050 | + | 0.916929i | \(0.369340\pi\) | |||||||
\(422\) | 5.33823 | + | 5.27897i | 0.259861 | + | 0.256976i | ||||
\(423\) | 0.800127 | + | 0.953554i | 0.0389035 | + | 0.0463634i | ||||
\(424\) | −14.7140 | + | 32.9851i | −0.714573 | + | 1.60190i | ||||
\(425\) | 0.0915686 | + | 0.0528671i | 0.00444173 | + | 0.00256443i | ||||
\(426\) | −4.79572 | + | 2.26895i | −0.232353 | + | 0.109931i | ||||
\(427\) | 36.4408 | + | 16.9926i | 1.76349 | + | 0.822330i | ||||
\(428\) | −0.498048 | + | 0.728459i | −0.0240741 | + | 0.0352114i | ||||
\(429\) | 13.3400 | + | 3.57445i | 0.644063 | + | 0.172576i | ||||
\(430\) | 2.23190 | + | 12.2573i | 0.107632 | + | 0.591099i | ||||
\(431\) | −4.53515 | + | 25.7201i | −0.218450 | + | 1.23889i | 0.656368 | + | 0.754441i | \(0.272092\pi\) |
−0.874818 | + | 0.484452i | \(0.839019\pi\) | |||||||
\(432\) | 11.7667 | + | 5.17036i | 0.566128 | + | 0.248759i | ||||
\(433\) | −17.3248 | − | 14.5372i | −0.832575 | − | 0.698613i | 0.123306 | − | 0.992369i | \(-0.460650\pi\) |
−0.955881 | + | 0.293755i | \(0.905095\pi\) | |||||||
\(434\) | −9.94357 | − | 8.24952i | −0.477307 | − | 0.395989i | ||||
\(435\) | −10.3553 | + | 4.82874i | −0.496497 | + | 0.231520i | ||||
\(436\) | −19.9040 | − | 27.7611i | −0.953229 | − | 1.32952i | ||||
\(437\) | 21.9030 | + | 13.9147i | 1.04776 | + | 0.665628i | ||||
\(438\) | −0.0745975 | + | 0.911198i | −0.00356441 | + | 0.0435387i | ||||
\(439\) | −1.10718 | + | 3.04194i | −0.0528427 | + | 0.145184i | −0.963306 | − | 0.268406i | \(-0.913503\pi\) |
0.910463 | + | 0.413590i | \(0.135725\pi\) | |||||||
\(440\) | 15.7024 | − | 13.6303i | 0.748583 | − | 0.649801i | ||||
\(441\) | 1.85245 | − | 2.20766i | 0.0882119 | − | 0.105127i | ||||
\(442\) | 1.34694 | − | 0.954382i | 0.0640672 | − | 0.0453953i | ||||
\(443\) | −1.49437 | + | 1.04637i | −0.0709997 | + | 0.0497145i | −0.608537 | − | 0.793525i | \(-0.708243\pi\) |
0.537538 | + | 0.843240i | \(0.319355\pi\) | |||||||
\(444\) | −1.21239 | − | 0.994470i | −0.0575376 | − | 0.0471954i | ||||
\(445\) | −15.3917 | − | 4.12420i | −0.729637 | − | 0.195506i | ||||
\(446\) | 23.5532 | + | 13.4237i | 1.11528 | + | 0.635632i | ||||
\(447\) | 0.979433 | − | 0.356485i | 0.0463256 | − | 0.0168611i | ||||
\(448\) | 0.761138 | + | 22.7210i | 0.0359604 | + | 1.07346i | ||||
\(449\) | −11.8662 | + | 20.5528i | −0.559999 | + | 0.969946i | 0.437497 | + | 0.899220i | \(0.355865\pi\) |
−0.997496 | + | 0.0707263i | \(0.977468\pi\) | |||||||
\(450\) | −2.05760 | + | 1.20332i | −0.0969964 | + | 0.0567250i | ||||
\(451\) | −1.33850 | + | 15.2991i | −0.0630275 | + | 0.720408i | ||||
\(452\) | 1.96202 | − | 1.68401i | 0.0922857 | − | 0.0792090i | ||||
\(453\) | 0.393125 | − | 0.561441i | 0.0184706 | − | 0.0263788i | ||||
\(454\) | 2.61872 | + | 1.20338i | 0.122903 | + | 0.0564775i | ||||
\(455\) | 41.2502i | 1.93384i | ||||||||
\(456\) | 5.81367 | − | 3.85267i | 0.272250 | − | 0.180418i | ||||
\(457\) | − | 4.40021i | − | 0.205833i | −0.994690 | − | 0.102917i | \(-0.967182\pi\) | ||
0.994690 | − | 0.102917i | \(-0.0328175\pi\) | |||||||
\(458\) | −6.75503 | + | 14.6999i | −0.315642 | + | 0.686879i | ||||
\(459\) | 0.309846 | − | 0.442506i | 0.0144624 | − | 0.0206544i | ||||
\(460\) | 1.89260 | − | 24.8206i | 0.0882431 | − | 1.15726i | ||||
\(461\) | −0.835138 | + | 9.54567i | −0.0388962 | + | 0.444586i | 0.951628 | + | 0.307251i | \(0.0994092\pi\) |
−0.990525 | + | 0.137335i | \(0.956146\pi\) | |||||||
\(462\) | 4.03552 | + | 6.90049i | 0.187749 | + | 0.321040i | ||||
\(463\) | 9.16042 | − | 15.8663i | 0.425721 | − | 0.737370i | −0.570767 | − | 0.821112i | \(-0.693354\pi\) |
0.996487 | + | 0.0837423i | \(0.0266872\pi\) | |||||||
\(464\) | −32.1412 | − | 21.4524i | −1.49212 | − | 0.995904i | ||||
\(465\) | 3.57301 | − | 1.30047i | 0.165694 | − | 0.0603078i | ||||
\(466\) | −3.70207 | + | 6.49563i | −0.171495 | + | 0.300904i | ||||
\(467\) | −21.0580 | − | 5.64247i | −0.974448 | − | 0.261103i | −0.263743 | − | 0.964593i | \(-0.584957\pi\) |
−0.710705 | + | 0.703490i | \(0.751624\pi\) | |||||||
\(468\) | 3.65708 | + | 37.0345i | 0.169048 | + | 1.71192i | ||||
\(469\) | 8.49942 | − | 5.95136i | 0.392467 | − | 0.274808i | ||||
\(470\) | −0.793963 | − | 1.12053i | −0.0366228 | − | 0.0516864i | ||||
\(471\) | −3.10761 | + | 3.70351i | −0.143191 | + | 0.170649i | ||||
\(472\) | −2.47398 | + | 35.0222i | −0.113874 | + | 1.61203i | ||||
\(473\) | −5.06756 | + | 13.9230i | −0.233006 | + | 0.640180i | ||||
\(474\) | −11.2948 | − | 0.924677i | −0.518787 | − | 0.0424718i | ||||
\(475\) | −0.116099 | + | 2.73892i | −0.00532699 | + | 0.125670i | ||||
\(476\) | 0.942785 | + | 0.155409i | 0.0432125 | + | 0.00712314i | ||||
\(477\) | −31.0162 | + | 14.4631i | −1.42013 | + | 0.662218i | ||||
\(478\) | 4.46698 | − | 5.38428i | 0.204315 | − | 0.246271i | ||||
\(479\) | −10.1477 | − | 8.51496i | −0.463662 | − | 0.389058i | 0.380814 | − | 0.924651i | \(-0.375644\pi\) |
−0.844476 | + | 0.535593i | \(0.820088\pi\) | |||||||
\(480\) | −5.88515 | − | 3.18224i | −0.268619 | − | 0.145249i | ||||
\(481\) | 1.67100 | − | 9.47669i | 0.0761908 | − | 0.432100i | ||||
\(482\) | 7.36832 | − | 1.34168i | 0.335618 | − | 0.0611117i | ||||
\(483\) | 9.24386 | + | 2.47688i | 0.420610 | + | 0.112702i | ||||
\(484\) | 2.68107 | − | 0.503665i | 0.121867 | − | 0.0228939i | ||||
\(485\) | −4.57599 | − | 2.13382i | −0.207785 | − | 0.0968917i | ||||
\(486\) | 7.95901 | + | 16.8224i | 0.361028 | + | 0.763079i | ||||
\(487\) | 8.91755 | + | 5.14855i | 0.404093 | + | 0.233303i | 0.688248 | − | 0.725475i | \(-0.258380\pi\) |
−0.284156 | + | 0.958778i | \(0.591713\pi\) | |||||||
\(488\) | −36.5485 | − | 16.3035i | −1.65447 | − | 0.738026i | ||||
\(489\) | −6.55541 | − | 7.81244i | −0.296446 | − | 0.353291i | ||||
\(490\) | −2.23565 | + | 2.26074i | −0.100996 | + | 0.102130i | ||||
\(491\) | −0.606648 | + | 0.866383i | −0.0273776 | + | 0.0390993i | −0.832608 | − | 0.553863i | \(-0.813153\pi\) |
0.805230 | + | 0.592963i | \(0.202042\pi\) | |||||||
\(492\) | 4.75852 | − | 1.33215i | 0.214531 | − | 0.0600577i | ||||
\(493\) | −1.14846 | + | 1.14846i | −0.0517241 | + | 0.0517241i | ||||
\(494\) | 38.0985 | + | 19.5022i | 1.71413 | + | 0.877447i | ||||
\(495\) | 19.7018 | 0.885532 | ||||||||
\(496\) | 10.0332 | + | 8.04409i | 0.450502 | + | 0.361190i | ||||
\(497\) | −3.27242 | − | 18.5588i | −0.146788 | − | 0.832477i | ||||
\(498\) | 9.53810 | − | 0.0532340i | 0.427412 | − | 0.00238547i | ||||
\(499\) | 0.733158 | − | 8.38004i | 0.0328207 | − | 0.375142i | −0.961966 | − | 0.273168i | \(-0.911929\pi\) |
0.994787 | − | 0.101974i | \(-0.0325159\pi\) | |||||||
\(500\) | 21.2193 | − | 10.1846i | 0.948957 | − | 0.455470i | ||||
\(501\) | −10.3714 | + | 2.77900i | −0.463358 | + | 0.124157i | ||||
\(502\) | 31.4088 | − | 14.8602i | 1.40184 | − | 0.663241i | ||||
\(503\) | −0.354839 | − | 0.974912i | −0.0158215 | − | 0.0434692i | 0.931530 | − | 0.363663i | \(-0.118474\pi\) |
−0.947352 | + | 0.320194i | \(0.896252\pi\) | |||||||
\(504\) | −13.5678 | + | 16.7306i | −0.604359 | + | 0.745239i | ||||
\(505\) | −12.9803 | + | 7.49416i | −0.577614 | + | 0.333486i | ||||
\(506\) | 16.8442 | − | 24.3440i | 0.748814 | − | 1.08222i | ||||
\(507\) | 16.3142 | − | 11.4233i | 0.724538 | − | 0.507327i | ||||
\(508\) | 3.03650 | + | 5.12636i | 0.134723 | + | 0.227446i | ||||
\(509\) | 10.9861 | − | 0.961163i | 0.486952 | − | 0.0426028i | 0.158964 | − | 0.987284i | \(-0.449185\pi\) |
0.327989 | + | 0.944682i | \(0.393629\pi\) | |||||||
\(510\) | −0.179547 | + | 0.216418i | −0.00795049 | + | 0.00958315i | ||||
\(511\) | −3.05163 | − | 1.11070i | −0.134996 | − | 0.0491345i | ||||
\(512\) | −1.13610 | − | 22.5989i | −0.0502092 | − | 0.998739i | ||||
\(513\) | 13.8883 | + | 1.81049i | 0.613182 | + | 0.0799349i | ||||
\(514\) | −3.37025 | − | 3.97129i | −0.148656 | − | 0.175166i | ||||
\(515\) | −25.7561 | + | 12.0102i | −1.13495 | + | 0.529235i | ||||
\(516\) | 4.76709 | − | 0.0532139i | 0.209860 | − | 0.00234261i | ||||
\(517\) | −0.142342 | − | 1.62698i | −0.00626020 | − | 0.0715544i | ||||
\(518\) | 4.54472 | − | 3.22019i | 0.199683 | − | 0.141487i | ||||
\(519\) | −0.963538 | − | 0.169898i | −0.0422946 | − | 0.00745768i | ||||
\(520\) | −0.687408 | − | 41.0515i | −0.0301448 | − | 1.80023i | ||||
\(521\) | −23.7030 | + | 13.6849i | −1.03845 | + | 0.599548i | −0.919393 | − | 0.393340i | \(-0.871319\pi\) |
−0.119054 | + | 0.992888i | \(0.537986\pi\) | |||||||
\(522\) | −9.67382 | − | 35.3137i | −0.423412 | − | 1.54564i | ||||
\(523\) | −18.5742 | − | 8.66127i | −0.812191 | − | 0.378731i | −0.0282768 | − | 0.999600i | \(-0.509002\pi\) |
−0.783914 | + | 0.620869i | \(0.786780\pi\) | |||||||
\(524\) | 2.28386 | − | 5.04399i | 0.0997708 | − | 0.220348i | ||||
\(525\) | 0.261669 | + | 0.976561i | 0.0114202 | + | 0.0426206i | ||||
\(526\) | −7.70773 | − | 13.1798i | −0.336073 | − | 0.574665i | ||||
\(527\) | 0.414046 | − | 0.347426i | 0.0180361 | − | 0.0151341i | ||||
\(528\) | −4.13108 | − | 6.80001i | −0.179782 | − | 0.295933i | ||||
\(529\) | −2.16016 | − | 12.2509i | −0.0939199 | − | 0.532646i | ||||
\(530\) | 35.4067 | − | 13.1112i | 1.53797 | − | 0.569515i | ||||
\(531\) | −23.5233 | + | 23.5233i | −1.02082 | + | 1.02082i | ||||
\(532\) | 7.74268 | + | 23.5325i | 0.335688 | + | 1.02026i | ||||
\(533\) | 21.4427 | + | 21.4427i | 0.928785 | + | 0.928785i | ||||
\(534\) | −2.54600 | + | 5.54044i | −0.110176 | + | 0.239758i | ||||
\(535\) | 0.908453 | − | 0.160185i | 0.0392758 | − | 0.00692539i | ||||
\(536\) | −8.35932 | + | 6.06434i | −0.361068 | + | 0.261940i | ||||
\(537\) | 4.70568 | + | 5.60801i | 0.203065 | + | 0.242004i | ||||
\(538\) | 3.33740 | − | 12.7393i | 0.143886 | − | 0.549231i | ||||
\(539\) | −3.65232 | + | 0.978637i | −0.157317 | + | 0.0421529i | ||||
\(540\) | −4.73586 | − | 12.5732i | −0.203799 | − | 0.541064i | ||||
\(541\) | −4.25105 | + | 9.11640i | −0.182767 | + | 0.391945i | −0.976250 | − | 0.216648i | \(-0.930488\pi\) |
0.793483 | + | 0.608592i | \(0.208265\pi\) | |||||||
\(542\) | −11.8605 | − | 6.75967i | −0.509451 | − | 0.290353i | ||||
\(543\) | −1.87762 | − | 3.25214i | −0.0805764 | − | 0.139562i | ||||
\(544\) | −0.940835 | − | 0.138949i | −0.0403380 | − | 0.00595740i | ||||
\(545\) | −6.20072 | + | 35.1661i | −0.265610 | + | 1.50635i | ||||
\(546\) | 15.5597 | + | 2.65414i | 0.665894 | + | 0.113587i | ||||
\(547\) | −29.8679 | + | 2.61311i | −1.27706 | + | 0.111728i | −0.705428 | − | 0.708781i | \(-0.749245\pi\) |
−0.571632 | + | 0.820510i | \(0.693690\pi\) | |||||||
\(548\) | −0.174365 | − | 15.6203i | −0.00744850 | − | 0.667264i | ||||
\(549\) | −16.0255 | − | 34.3669i | −0.683953 | − | 1.46674i | ||||
\(550\) | 3.11699 | + | 0.255180i | 0.132909 | + | 0.0108809i | ||||
\(551\) | −40.1770 | − | 12.6117i | −1.71160 | − | 0.537276i | ||||
\(552\) | −9.24062 | − | 2.31091i | −0.393307 | − | 0.0983591i | ||||
\(553\) | 13.7678 | − | 37.8266i | 0.585464 | − | 1.60855i | ||||
\(554\) | −29.7988 | + | 2.77472i | −1.26603 | + | 0.117887i | ||||
\(555\) | 0.142866 | + | 1.63296i | 0.00606431 | + | 0.0693154i | ||||
\(556\) | −3.07836 | + | 12.0239i | −0.130551 | + | 0.509926i | ||||
\(557\) | 7.23032 | + | 10.3260i | 0.306359 | + | 0.437526i | 0.942580 | − | 0.333981i | \(-0.108392\pi\) |
−0.636221 | + | 0.771507i | \(0.719503\pi\) | |||||||
\(558\) | 2.18281 | + | 11.9877i | 0.0924056 | + | 0.507479i | ||||
\(559\) | 14.6281 | + | 25.3366i | 0.618703 | + | 1.07163i | ||||
\(560\) | 16.4250 | − | 17.1752i | 0.694082 | − | 0.725785i | ||||
\(561\) | −0.314248 | + | 0.114377i | −0.0132676 | + | 0.00482899i | ||||
\(562\) | 5.73061 | + | 2.04962i | 0.241731 | + | 0.0864582i | ||||
\(563\) | −9.16354 | − | 34.1988i | −0.386197 | − | 1.44131i | −0.836271 | − | 0.548316i | \(-0.815269\pi\) |
0.450074 | − | 0.892991i | \(-0.351397\pi\) | |||||||
\(564\) | −0.473755 | + | 0.227388i | −0.0199487 | + | 0.00957474i | ||||
\(565\) | −2.69261 | − | 0.235572i | −0.113279 | − | 0.00991061i | ||||
\(566\) | −12.2696 | + | 12.4073i | −0.515730 | + | 0.521519i | ||||
\(567\) | −17.4134 | + | 3.07045i | −0.731293 | + | 0.128947i | ||||
\(568\) | 3.56593 | + | 18.4149i | 0.149623 | + | 0.772673i | ||||
\(569\) | − | 28.9299i | − | 1.21280i | −0.795159 | − | 0.606402i | \(-0.792612\pi\) | ||
0.795159 | − | 0.606402i | \(-0.207388\pi\) | |||||||
\(570\) | −7.12853 | − | 1.52920i | −0.298581 | − | 0.0640510i | ||||
\(571\) | −17.8257 | − | 17.8257i | −0.745982 | − | 0.745982i | 0.227740 | − | 0.973722i | \(-0.426866\pi\) |
−0.973722 | + | 0.227740i | \(0.926866\pi\) | |||||||
\(572\) | 23.9400 | − | 42.5553i | 1.00098 | − | 1.77933i | ||||
\(573\) | 2.25921 | + | 1.58192i | 0.0943800 | + | 0.0660856i | ||||
\(574\) | 0.0979624 | + | 17.5522i | 0.00408887 | + | 0.732615i | ||||
\(575\) | 2.86808 | − | 2.40661i | 0.119607 | − | 0.100362i | ||||
\(576\) | 13.2237 | − | 16.8761i | 0.550987 | − | 0.703172i | ||||
\(577\) | −15.4094 | + | 26.6898i | −0.641500 | + | 1.11111i | 0.343597 | + | 0.939117i | \(0.388354\pi\) |
−0.985098 | + | 0.171994i | \(0.944979\pi\) | |||||||
\(578\) | 8.08305 | − | 22.5996i | 0.336210 | − | 0.940021i | ||||
\(579\) | 1.26568 | − | 2.71425i | 0.0525998 | − | 0.112801i | ||||
\(580\) | 7.45820 | + | 39.7010i | 0.309685 | + | 1.64849i | ||||
\(581\) | −8.76894 | + | 32.7261i | −0.363797 | + | 1.35771i | ||||
\(582\) | −1.09931 | + | 1.58878i | −0.0455680 | + | 0.0658571i | ||||
\(583\) | 44.2191 | + | 7.79702i | 1.83137 | + | 0.322920i | ||||
\(584\) | 3.05544 | + | 1.05450i | 0.126435 | + | 0.0436355i | ||||
\(585\) | 25.0061 | − | 29.8011i | 1.03387 | − | 1.23212i | ||||
\(586\) | −8.68213 | + | 0.808440i | −0.358656 | + | 0.0333963i | ||||
\(587\) | −4.65845 | − | 9.99008i | −0.192275 | − | 0.412335i | 0.786409 | − | 0.617706i | \(-0.211938\pi\) |
−0.978684 | + | 0.205371i | \(0.934160\pi\) | |||||||
\(588\) | 0.708912 | + | 0.988756i | 0.0292351 | + | 0.0407756i | ||||
\(589\) | 12.9536 | + | 5.34630i | 0.533744 | + | 0.220290i | ||||
\(590\) | 27.9832 | − | 23.7481i | 1.15205 | − | 0.977694i | ||||
\(591\) | 6.42323 | + | 2.33787i | 0.264216 | + | 0.0961669i | ||||
\(592\) | −4.46917 | + | 3.28042i | −0.183682 | + | 0.134825i | ||||
\(593\) | 4.36122 | + | 3.65950i | 0.179094 | + | 0.150278i | 0.727928 | − | 0.685654i | \(-0.240484\pi\) |
−0.548834 | + | 0.835931i | \(0.684928\pi\) | |||||||
\(594\) | 2.68670 | − | 15.7506i | 0.110237 | − | 0.646254i | ||||
\(595\) | −0.572915 | − | 0.818208i | −0.0234872 | − | 0.0335432i | ||||
\(596\) | −0.362123 | − | 3.66715i | −0.0148331 | − | 0.150212i | ||||
\(597\) | 2.35994 | − | 8.80740i | 0.0965858 | − | 0.360463i | ||||
\(598\) | −15.4438 | − | 56.3766i | −0.631544 | − | 2.30541i | ||||
\(599\) | 2.93985 | + | 8.07717i | 0.120119 | + | 0.330024i | 0.985150 | − | 0.171693i | \(-0.0549238\pi\) |
−0.865031 | + | 0.501718i | \(0.832702\pi\) | |||||||
\(600\) | −0.276682 | − | 0.967498i | −0.0112955 | − | 0.0394979i | ||||
\(601\) | 28.3704 | + | 16.3796i | 1.15725 | + | 0.668139i | 0.950644 | − | 0.310285i | \(-0.100424\pi\) |
0.206607 | + | 0.978424i | \(0.433758\pi\) | |||||||
\(602\) | −4.29152 | + | 16.3813i | −0.174909 | + | 0.667653i | ||||
\(603\) | −9.74813 | − | 0.852851i | −0.396975 | − | 0.0347308i | ||||
\(604\) | −1.57822 | − | 1.83877i | −0.0642167 | − | 0.0748183i | ||||
\(605\) | −2.33598 | − | 1.63567i | −0.0949711 | − | 0.0664995i | ||||
\(606\) | 1.99164 | + | 5.37839i | 0.0809048 | + | 0.218482i | ||||
\(607\) | −29.5980 | −1.20135 | −0.600674 | − | 0.799494i | \(-0.705101\pi\) | ||||
−0.600674 | + | 0.799494i | \(0.705101\pi\) | |||||||
\(608\) | −8.09755 | − | 23.2901i | −0.328399 | − | 0.944539i | ||||
\(609\) | −15.5300 | −0.629307 | ||||||||
\(610\) | 14.5276 | + | 39.2317i | 0.588207 | + | 1.58844i | ||||
\(611\) | −2.64164 | − | 1.84970i | −0.106869 | − | 0.0748307i | ||||
\(612\) | −0.586903 | − | 0.683796i | −0.0237242 | − | 0.0276408i | ||||
\(613\) | 8.44264 | + | 0.738636i | 0.340995 | + | 0.0298332i | 0.256367 | − | 0.966579i | \(-0.417474\pi\) |
0.0846278 | + | 0.996413i | \(0.473030\pi\) | |||||||
\(614\) | −10.6097 | + | 40.4988i | −0.428174 | + | 1.63440i | ||||
\(615\) | −4.47354 | − | 2.58280i | −0.180391 | − | 0.104149i | ||||
\(616\) | 27.1728 | − | 7.77081i | 1.09482 | − | 0.313095i | ||||
\(617\) | −6.31302 | − | 17.3449i | −0.254153 | − | 0.698279i | −0.999500 | − | 0.0316031i | \(-0.989939\pi\) |
0.745348 | − | 0.666676i | \(-0.232283\pi\) | |||||||
\(618\) | 2.87309 | + | 10.4880i | 0.115573 | + | 0.421891i | ||||
\(619\) | 4.43314 | − | 16.5447i | 0.178183 | − | 0.664987i | −0.817805 | − | 0.575496i | \(-0.804809\pi\) |
0.995988 | − | 0.0894916i | \(-0.0285242\pi\) | |||||||
\(620\) | −1.32104 | − | 13.3779i | −0.0530542 | − | 0.537270i | ||||
\(621\) | −10.9715 | − | 15.6690i | −0.440273 | − | 0.628775i | ||||
\(622\) | 0.854092 | − | 5.00705i | 0.0342460 | − | 0.200764i | ||||
\(623\) | −16.5914 | − | 13.9218i | −0.664720 | − | 0.557766i | ||||
\(624\) | −15.5290 | − | 2.38207i | −0.621658 | − | 0.0953591i | ||||
\(625\) | −20.1657 | − | 7.33972i | −0.806628 | − | 0.293589i | ||||
\(626\) | −17.8249 | + | 15.1272i | −0.712425 | + | 0.604603i | ||||
\(627\) | −6.39993 | − | 5.84952i | −0.255588 | − | 0.233607i | ||||
\(628\) | 9.95953 | + | 13.8911i | 0.397429 | + | 0.554314i | ||||
\(629\) | 0.0984751 | + | 0.211181i | 0.00392646 | + | 0.00842032i | ||||
\(630\) | 22.4207 | − | 2.08771i | 0.893260 | − | 0.0831762i | ||||
\(631\) | 8.76878 | − | 10.4502i | 0.349080 | − | 0.416017i | −0.562723 | − | 0.826645i | \(-0.690246\pi\) |
0.911803 | + | 0.410629i | \(0.134691\pi\) | |||||||
\(632\) | −13.0711 | + | 37.8739i | −0.519940 | + | 1.50654i | ||||
\(633\) | −2.95748 | − | 0.521483i | −0.117549 | − | 0.0207271i | ||||
\(634\) | −14.6327 | + | 21.1479i | −0.581140 | + | 0.839892i | ||||
\(635\) | 1.61204 | − | 6.01620i | 0.0639717 | − | 0.238746i | ||||
\(636\) | −2.66744 | − | 14.1991i | −0.105771 | − | 0.563032i | ||||
\(637\) | −3.15533 | + | 6.76663i | −0.125019 | + | 0.268104i | ||||
\(638\) | −16.1784 | + | 45.2337i | −0.640509 | + | 1.79082i | ||||
\(639\) | −8.88630 | + | 15.3915i | −0.351537 | + | 0.608879i | ||||
\(640\) | −16.0597 | + | 17.3662i | −0.634814 | + | 0.686460i | ||||
\(641\) | 19.5746 | − | 16.4250i | 0.773148 | − | 0.648749i | −0.168365 | − | 0.985725i | \(-0.553849\pi\) |
0.941513 | + | 0.336976i | \(0.109404\pi\) | |||||||
\(642\) | −0.00197004 | − | 0.352978i | −7.77513e−5 | − | 0.0139309i | ||||
\(643\) | −12.5716 | − | 8.80274i | −0.495776 | − | 0.347146i | 0.298795 | − | 0.954317i | \(-0.403415\pi\) |
−0.794571 | + | 0.607171i | \(0.792304\pi\) | |||||||
\(644\) | 16.5890 | − | 29.4883i | 0.653698 | − | 1.16200i | ||||
\(645\) | −3.52396 | − | 3.52396i | −0.138756 | − | 0.138756i | ||||
\(646\) | −1.02656 | + | 0.142310i | −0.0403893 | + | 0.00559911i | ||||
\(647\) | 28.8861i | 1.13563i | 0.823156 | + | 0.567816i | \(0.192211\pi\) | ||||
−0.823156 | + | 0.567816i | \(0.807789\pi\) | |||||||
\(648\) | 17.2783 | − | 3.34584i | 0.678758 | − | 0.131437i | ||||
\(649\) | 42.9843 | − | 7.57930i | 1.68728 | − | 0.297514i | ||||
\(650\) | 4.34215 | − | 4.39090i | 0.170313 | − | 0.172225i | ||||
\(651\) | 5.14847 | + | 0.450433i | 0.201785 | + | 0.0176539i | ||||
\(652\) | −32.5059 | + | 15.6018i | −1.27303 | + | 0.611013i | ||||
\(653\) | −7.87593 | − | 29.3934i | −0.308209 | − | 1.15025i | −0.930148 | − | 0.367186i | \(-0.880321\pi\) |
0.621939 | − | 0.783066i | \(-0.286345\pi\) | |||||||
\(654\) | 12.8658 | + | 4.60161i | 0.503092 | + | 0.179937i | ||||
\(655\) | −5.43903 | + | 1.97964i | −0.212520 | + | 0.0773511i | ||||
\(656\) | −0.389987 | − | 17.4661i | −0.0152264 | − | 0.681935i | ||||
\(657\) | 1.53133 | + | 2.65234i | 0.0597428 | + | 0.103477i | ||||
\(658\) | −0.334388 | − | 1.83642i | −0.0130358 | − | 0.0715909i | ||||
\(659\) | 16.1308 | + | 23.0371i | 0.628366 | + | 0.897399i | 0.999514 | − | 0.0311744i | \(-0.00992472\pi\) |
−0.371148 | + | 0.928574i | \(0.621036\pi\) | |||||||
\(660\) | −2.06289 | + | 8.05751i | −0.0802979 | + | 0.313638i | ||||
\(661\) | −2.75761 | − | 31.5196i | −0.107259 | − | 1.22597i | −0.838902 | − | 0.544283i | \(-0.816802\pi\) |
0.731643 | − | 0.681688i | \(-0.238754\pi\) | |||||||
\(662\) | −35.3336 | + | 3.29010i | −1.37328 | + | 0.127874i | ||||
\(663\) | −0.225845 | + | 0.620503i | −0.00877108 | + | 0.0240983i | ||||
\(664\) | 8.18135 | − | 32.7147i | 0.317498 | − | 1.26957i | ||||
\(665\) | 11.9288 | − | 22.9862i | 0.462579 | − | 0.891367i | ||||
\(666\) | −5.23542 | − | 0.428611i | −0.202868 | − | 0.0166083i | ||||
\(667\) | 24.3054 | + | 52.1230i | 0.941107 | + | 2.01821i | ||||
\(668\) | 0.423724 | + | 37.9587i | 0.0163944 | + | 1.46867i | ||||
\(669\) | −10.8029 | + | 0.945133i | −0.417665 | + | 0.0365410i | ||||
\(670\) | 10.6421 | + | 1.81530i | 0.411139 | + | 0.0701312i | ||||
\(671\) | −8.63934 | + | 48.9962i | −0.333518 | + | 1.89148i | ||||
\(672\) | −5.42172 | − | 7.30065i | −0.209147 | − | 0.281629i | ||||
\(673\) | −15.6553 | − | 27.1158i | −0.603469 | − | 1.04524i | −0.992291 | − | 0.123926i | \(-0.960451\pi\) |
0.388823 | − | 0.921313i | \(-0.372882\pi\) | |||||||
\(674\) | −12.9499 | − | 7.38060i | −0.498813 | − | 0.284290i | ||||
\(675\) | 0.854025 | − | 1.83146i | 0.0328715 | − | 0.0704931i | ||||
\(676\) | −24.8194 | − | 65.8928i | −0.954593 | − | 2.53434i | ||||
\(677\) | −29.8010 | + | 7.98516i | −1.14535 | + | 0.306894i | −0.781099 | − | 0.624408i | \(-0.785340\pi\) |
−0.364247 | + | 0.931302i | \(0.618674\pi\) | |||||||
\(678\) | −0.262108 | + | 1.00050i | −0.0100662 | + | 0.0384241i | ||||
\(679\) | −4.41126 | − | 5.25713i | −0.169288 | − | 0.201750i | ||||
\(680\) | 0.583791 | + | 0.804721i | 0.0223874 | + | 0.0308596i | ||||
\(681\) | −1.13530 | + | 0.200184i | −0.0435048 | + | 0.00767107i | ||||
\(682\) | 6.67539 | − | 14.5266i | 0.255614 | − | 0.556250i | ||||
\(683\) | 25.0686 | + | 25.0686i | 0.959221 | + | 0.959221i | 0.999201 | − | 0.0399790i | \(-0.0127291\pi\) |
−0.0399790 | + | 0.999201i | \(0.512729\pi\) | |||||||
\(684\) | 8.67182 | − | 21.6946i | 0.331575 | − | 0.829515i | ||||
\(685\) | −11.5469 | + | 11.5469i | −0.441184 | + | 0.441184i | ||||
\(686\) | 22.3283 | − | 8.26823i | 0.852497 | − | 0.315683i | ||||
\(687\) | −1.12371 | − | 6.37287i | −0.0428722 | − | 0.243140i | ||||
\(688\) | 3.99787 | − | 16.3740i | 0.152417 | − | 0.624251i | ||||
\(689\) | 67.9179 | − | 56.9899i | 2.58747 | − | 2.17114i | ||||
\(690\) | 5.02667 | + | 8.59530i | 0.191362 | + | 0.327217i | ||||
\(691\) | −1.54267 | − | 5.75733i | −0.0586860 | − | 0.219019i | 0.930355 | − | 0.366660i | \(-0.119499\pi\) |
−0.989041 | + | 0.147641i | \(0.952832\pi\) | |||||||
\(692\) | −1.42680 | + | 3.15114i | −0.0542387 | + | 0.119788i | ||||
\(693\) | 24.2699 | + | 11.3172i | 0.921938 | + | 0.429907i | ||||
\(694\) | −0.0586640 | − | 0.214149i | −0.00222685 | − | 0.00812898i | ||||
\(695\) | 11.2364 | − | 6.48732i | 0.426219 | − | 0.246078i | ||||
\(696\) | 15.4552 | − | 0.258797i | 0.585828 | − | 0.00980969i | ||||
\(697\) | −0.723134 | − | 0.127508i | −0.0273906 | − | 0.00482971i | ||||
\(698\) | 17.7337 | − | 12.5654i | 0.671231 | − | 0.475606i | ||||
\(699\) | −0.260654 | − | 2.97929i | −0.00985885 | − | 0.112687i | ||||
\(700\) | 3.57417 | − | 0.0398976i | 0.135091 | − | 0.00150799i | ||||
\(701\) | 30.2946 | − | 14.1266i | 1.14421 | − | 0.533555i | 0.244332 | − | 0.969692i | \(-0.421431\pi\) |
0.899880 | + | 0.436137i | \(0.143654\pi\) | |||||||
\(702\) | −20.4144 | − | 24.0550i | −0.770491 | − | 0.907897i | ||||
\(703\) | −3.67163 | + | 4.79756i | −0.138478 | + | 0.180943i | ||||
\(704\) | −26.9125 | + | 8.18621i | −1.01430 | + | 0.308529i | ||||
\(705\) | 0.516205 | + | 0.187883i | 0.0194414 | + | 0.00707609i | ||||
\(706\) | 7.15995 | − | 8.63026i | 0.269468 | − | 0.324804i | ||||
\(707\) | −20.2947 | + | 1.77556i | −0.763261 | + | 0.0667767i | ||||
\(708\) | −7.15735 | − | 12.0834i | −0.268990 | − | 0.454121i | ||||
\(709\) | −35.6722 | + | 24.9780i | −1.33970 | + | 0.938067i | −0.999997 | − | 0.00246645i | \(-0.999215\pi\) |
−0.339701 | + | 0.940533i | \(0.610326\pi\) | |||||||
\(710\) | 11.1567 | − | 16.1243i | 0.418705 | − | 0.605132i | ||||
\(711\) | −32.8772 | + | 18.9816i | −1.23299 | + | 0.711867i | ||||
\(712\) | 16.7435 | + | 13.5783i | 0.627489 | + | 0.508869i | ||||
\(713\) | −6.54588 | − | 17.9847i | −0.245145 | − | 0.673531i | ||||
\(714\) | −0.345493 | + | 0.163460i | −0.0129298 | + | 0.00611733i | ||||
\(715\) | −49.3024 | + | 13.2106i | −1.84381 | + | 0.494047i | ||||
\(716\) | 23.3337 | − | 11.1995i | 0.872022 | − | 0.418543i | ||||
\(717\) | −0.243902 | + | 2.78782i | −0.00910870 | + | 0.104113i | ||||
\(718\) | −10.5735 | + | 0.0590128i | −0.394599 | + | 0.00220234i | ||||
\(719\) | 0.857659 | + | 4.86403i | 0.0319853 | + | 0.181398i | 0.996615 | − | 0.0822114i | \(-0.0261983\pi\) |
−0.964630 | + | 0.263609i | \(0.915087\pi\) | |||||||
\(720\) | −22.2779 | + | 2.45128i | −0.830248 | + | 0.0913538i | ||||
\(721\) | −38.6269 | −1.43854 | ||||||||
\(722\) | −15.5903 | − | 21.8848i | −0.580210 | − | 0.814467i | ||||
\(723\) | −2.11838 | + | 2.11838i | −0.0787835 | + | 0.0787835i | ||||
\(724\) | −12.7850 | + | 3.57915i | −0.475151 | + | 0.133018i | ||||
\(725\) | −3.48491 | + | 4.97696i | −0.129426 | + | 0.184840i | ||||
\(726\) | −0.767283 | + | 0.775896i | −0.0284766 | + | 0.0287962i | ||||
\(727\) | −10.4331 | − | 12.4336i | −0.386940 | − | 0.461138i | 0.537052 | − | 0.843549i | \(-0.319538\pi\) |
−0.923992 | + | 0.382412i | \(0.875094\pi\) | |||||||
\(728\) | 22.7343 | − | 50.9646i | 0.842589 | − | 1.88888i | ||||
\(729\) | 9.71914 | + | 5.61135i | 0.359968 | + | 0.207828i | ||||
\(730\) | −1.44505 | − | 3.05430i | −0.0534838 | − | 0.113045i | ||||
\(731\) | −0.642048 | − | 0.299392i | −0.0237470 | − | 0.0110734i | ||||
\(732\) | 15.7331 | − | 2.95560i | 0.581511 | − | 0.109242i | ||||
\(733\) | 31.4880 | + | 8.43719i | 1.16304 | + | 0.311635i | 0.788178 | − | 0.615447i | \(-0.211025\pi\) |
0.374859 | + | 0.927082i | \(0.377691\pi\) | |||||||
\(734\) | 32.7162 | − | 5.95720i | 1.20758 | − | 0.219884i | ||||
\(735\) | 0.220848 | − | 1.25249i | 0.00814612 | − | 0.0461989i | ||||
\(736\) | −16.0177 | + | 29.6228i | −0.590421 | + | 1.09191i | ||||
\(737\) | 9.83507 | + | 8.25261i | 0.362280 | + | 0.303989i | ||||
\(738\) | 10.5695 | − | 12.7399i | 0.389068 | − | 0.468964i | ||||
\(739\) | −29.8615 | + | 13.9246i | −1.09847 | + | 0.512226i | −0.885409 | − | 0.464813i | \(-0.846122\pi\) |
−0.213063 | + | 0.977039i | \(0.568344\pi\) | |||||||
\(740\) | 5.71817 | + | 0.942582i | 0.210204 | + | 0.0346500i | ||||
\(741\) | −16.9710 | + | 2.25620i | −0.623444 | + | 0.0828835i | ||||
\(742\) | 51.1475 | + | 4.18732i | 1.87768 | + | 0.153721i | ||||
\(743\) | 15.7336 | − | 43.2278i | 0.577210 | − | 1.58587i | −0.215651 | − | 0.976471i | \(-0.569187\pi\) |
0.792861 | − | 0.609402i | \(-0.208590\pi\) | |||||||
\(744\) | −5.13119 | − | 0.362468i | −0.188118 | − | 0.0132887i | ||||
\(745\) | −2.47610 | + | 2.95090i | −0.0907172 | + | 0.108113i | ||||
\(746\) | 3.47837 | + | 4.90909i | 0.127352 | + | 0.179735i | ||||
\(747\) | 26.1739 | − | 18.3271i | 0.957651 | − | 0.670555i | ||||
\(748\) | 0.116186 | + | 1.17659i | 0.00424818 | + | 0.0430205i | ||||
\(749\) | 1.21110 | + | 0.324514i | 0.0442527 | + | 0.0118575i | ||||
\(750\) | −4.66189 | + | 8.17972i | −0.170228 | + | 0.298681i | ||||
\(751\) | −12.4982 | + | 4.54898i | −0.456067 | + | 0.165995i | −0.559830 | − | 0.828607i | \(-0.689134\pi\) |
0.103764 | + | 0.994602i | \(0.466911\pi\) | |||||||
\(752\) | 0.363381 | + | 1.82200i | 0.0132511 | + | 0.0664415i | ||||
\(753\) | −6.94949 | + | 12.0369i | −0.253253 | + | 0.438648i | ||||
\(754\) | 47.8867 | + | 81.8834i | 1.74393 | + | 2.98202i | ||||
\(755\) | −0.220774 | + | 2.52345i | −0.00803478 | + | 0.0918379i | ||||
\(756\) | 1.38845 | − | 18.2088i | 0.0504974 | − | 0.662249i | ||||
\(757\) | 16.9649 | − | 24.2284i | 0.616600 | − | 0.880596i | −0.382459 | − | 0.923972i | \(-0.624923\pi\) |
0.999059 | + | 0.0433766i | \(0.0138115\pi\) | |||||||
\(758\) | −8.11848 | + | 17.6669i | −0.294876 | + | 0.641691i | ||||
\(759\) | 11.8415i | 0.429821i | ||||||||
\(760\) | −11.4883 | + | 23.0743i | −0.416724 | + | 0.836993i | ||||
\(761\) | 35.9357i | 1.30267i | 0.758792 | + | 0.651333i | \(0.225790\pi\) | ||||
−0.758792 | + | 0.651333i | \(0.774210\pi\) | |||||||
\(762\) | −2.16561 | − | 0.995163i | −0.0784517 | − | 0.0360509i | ||||
\(763\) | −27.8387 | + | 39.7578i | −1.00783 | + | 1.43933i | ||||
\(764\) | 7.39911 | − | 6.35067i | 0.267690 | − | 0.229759i | ||||
\(765\) | −0.0821008 | + | 0.938417i | −0.00296836 | + | 0.0339285i | ||||
\(766\) | −6.15725 | + | 3.60086i | −0.222471 | + | 0.130104i | ||||
\(767\) | 43.0924 | − | 74.6382i | 1.55598 | − | 2.69503i | ||||
\(768\) | 5.51728 | + | 7.17515i | 0.199088 | + | 0.258911i | ||||
\(769\) | 40.7257 | − | 14.8229i | 1.46861 | − | 0.534529i | 0.520885 | − | 0.853627i | \(-0.325602\pi\) |
0.947722 | + | 0.319098i | \(0.103380\pi\) | |||||||
\(770\) | −25.6679 | − | 14.6290i | −0.925007 | − | 0.527192i | ||||
\(771\) | 2.01250 | + | 0.539246i | 0.0724782 | + | 0.0194205i | ||||
\(772\) | −8.18649 | − | 6.71500i | −0.294638 | − | 0.241678i | ||||
\(773\) | −13.9510 | + | 9.76862i | −0.501784 | + | 0.351353i | −0.796903 | − | 0.604108i | \(-0.793530\pi\) |
0.295119 | + | 0.955461i | \(0.404641\pi\) | |||||||
\(774\) | 13.0308 | − | 9.23311i | 0.468384 | − | 0.331877i | ||||
\(775\) | 1.29966 | − | 1.54888i | 0.0466852 | − | 0.0556372i | ||||
\(776\) | 4.47762 | + | 5.15831i | 0.160737 | + | 0.185172i | ||||
\(777\) | −0.762026 | + | 2.09365i | −0.0273375 | + | 0.0751092i | ||||
\(778\) | −3.31522 | + | 40.4949i | −0.118856 | + | 1.45181i | ||||
\(779\) | −5.74787 | − | 18.1495i | −0.205939 | − | 0.650274i | ||||
\(780\) | 9.56956 | + | 13.3471i | 0.342645 | + | 0.477904i | ||||
\(781\) | 21.1336 | − | 9.85476i | 0.756219 | − | 0.352631i | ||||
\(782\) | 1.08933 | + | 0.903748i | 0.0389545 | + | 0.0323180i | ||||
\(783\) | 23.7789 | + | 19.9529i | 0.849790 | + | 0.713058i | ||||
\(784\) | 4.00811 | − | 1.56101i | 0.143147 | − | 0.0557505i | ||||
\(785\) | 3.10271 | − | 17.5963i | 0.110740 | − | 0.628040i | ||||
\(786\) | 0.396767 | + | 2.17899i | 0.0141522 | + | 0.0777222i | ||||
\(787\) | −37.9027 | − | 10.1560i | −1.35109 | − | 0.362022i | −0.490550 | − | 0.871413i | \(-0.663204\pi\) |
−0.860536 | + | 0.509390i | \(0.829871\pi\) | |||||||
\(788\) | 13.6395 | − | 19.9496i | 0.485888 | − | 0.710674i | ||||
\(789\) | 5.53515 | + | 2.58108i | 0.197056 | + | 0.0918889i | ||||
\(790\) | 37.8598 | − | 17.9122i | 1.34699 | − | 0.637288i | ||||
\(791\) | −3.18160 | − | 1.83689i | −0.113125 | − | 0.0653125i | ||||
\(792\) | −24.3416 | − | 10.8583i | −0.864943 | − | 0.385833i | ||||
\(793\) | 63.1465 | + | 75.2551i | 2.24240 | + | 2.67239i | ||||
\(794\) | 4.56383 | + | 4.51317i | 0.161964 | + | 0.160166i | ||||
\(795\) | −8.66261 | + | 12.3715i | −0.307231 | + | 0.438771i | ||||
\(796\) | −28.0960 | − | 15.8057i | −0.995836 | − | 0.560220i | ||||
\(797\) | 17.3737 | − | 17.3737i | 0.615408 | − | 0.615408i | −0.328942 | − | 0.944350i | \(-0.606692\pi\) |
0.944350 | + | 0.328942i | \(0.106692\pi\) | |||||||
\(798\) | −7.90295 | − | 5.97857i | −0.279761 | − | 0.211639i | ||||
\(799\) | 0.0780876 | 0.00276254 | ||||||||
\(800\) | −3.55629 | + | 0.0992667i | −0.125734 | + | 0.00350961i | ||||
\(801\) | 3.54692 | + | 20.1156i | 0.125324 | + | 0.710749i | ||||
\(802\) | 0.107972 | + | 19.3457i | 0.00381263 | + | 0.683119i | ||||
\(803\) | 0.350220 | − | 4.00303i | 0.0123590 | − | 0.141264i | ||||
\(804\) | 1.36948 | − | 3.89742i | 0.0482977 | − | 0.137451i | ||||
\(805\) | −34.1637 | + | 9.15413i | −1.20411 | + | 0.322641i | ||||
\(806\) | −13.5004 | − | 28.5347i | −0.475530 | − | 1.00509i | ||||
\(807\) | 1.80169 | + | 4.95011i | 0.0634225 | + | 0.174252i | ||||
\(808\) | 20.1674 | − | 2.10521i | 0.709487 | − | 0.0740609i | ||||
\(809\) | −7.22897 | + | 4.17365i | −0.254157 | + | 0.146738i | −0.621666 | − | 0.783282i | \(-0.713544\pi\) |
0.367509 | + | 0.930020i | \(0.380211\pi\) | |||||||
\(810\) | −15.1291 | − | 10.4681i | −0.531581 | − | 0.367813i | ||||
\(811\) | 11.1221 | − | 7.78778i | 0.390550 | − | 0.273466i | −0.361765 | − | 0.932269i | \(-0.617826\pi\) |
0.752315 | + | 0.658803i | \(0.228937\pi\) | |||||||
\(812\) | −13.6178 | + | 53.1902i | −0.477891 | + | 1.86661i | ||||
\(813\) | 5.43993 | − | 0.475932i | 0.190787 | − | 0.0166917i | ||||
\(814\) | 5.30426 | + | 4.40059i | 0.185914 | + | 0.154241i | ||||
\(815\) | 35.4185 | + | 12.8913i | 1.24066 | + | 0.451562i | ||||
\(816\) | 0.341106 | − | 0.168430i | 0.0119411 | − | 0.00589624i | ||||
\(817\) | −0.824471 | − | 18.3487i | −0.0288446 | − | 0.641941i | ||||
\(818\) | −3.57853 | + | 3.03693i | −0.125120 | + | 0.106184i | ||||
\(819\) | 47.9225 | − | 22.3466i | 1.67455 | − | 0.780855i | ||||
\(820\) | −12.7688 | + | 13.0571i | −0.445906 | + | 0.455974i | ||||
\(821\) | −2.93112 | − | 33.5029i | −0.102297 | − | 1.16926i | −0.857754 | − | 0.514060i | \(-0.828141\pi\) |
0.755457 | − | 0.655198i | \(-0.227415\pi\) | |||||||
\(822\) | 3.61257 | + | 5.09848i | 0.126003 | + | 0.177830i | ||||
\(823\) | −27.2041 | − | 4.79681i | −0.948274 | − | 0.167206i | −0.321939 | − | 0.946760i | \(-0.604335\pi\) |
−0.626335 | + | 0.779554i | \(0.715446\pi\) | |||||||
\(824\) | 38.4409 | − | 0.643692i | 1.33915 | − | 0.0224241i | ||||
\(825\) | −1.08339 | + | 0.625496i | −0.0377188 | + | 0.0217770i | ||||
\(826\) | 48.1130 | − | 13.1801i | 1.67406 | − | 0.458593i | ||||
\(827\) | 39.9841 | + | 18.6449i | 1.39038 | + | 0.648346i | 0.966333 | − | 0.257293i | \(-0.0828305\pi\) |
0.424049 | + | 0.905639i | \(0.360608\pi\) | |||||||
\(828\) | −29.8607 | + | 11.2474i | −1.03773 | + | 0.390875i | ||||
\(829\) | −4.90830 | − | 18.3180i | −0.170472 | − | 0.636211i | −0.997279 | − | 0.0737246i | \(-0.976511\pi\) |
0.826806 | − | 0.562487i | \(-0.190155\pi\) | |||||||
\(830\) | −30.4300 | + | 17.7960i | −1.05624 | + | 0.617707i | ||||
\(831\) | 9.17054 | − | 7.69500i | 0.318123 | − | 0.266937i | ||||
\(832\) | −21.7755 | + | 51.0981i | −0.754930 | + | 1.77151i | ||||
\(833\) | −0.0313935 | − | 0.178042i | −0.00108772 | − | 0.00616878i | ||||
\(834\) | −1.72406 | − | 4.65580i | −0.0596993 | − | 0.161217i | ||||
\(835\) | 28.0601 | − | 28.0601i | 0.971058 | − | 0.971058i | ||||
\(836\) | −25.6465 | + | 16.7905i | −0.887003 | + | 0.580711i | ||||
\(837\) | −7.30443 | − | 7.30443i | −0.252478 | − | 0.252478i | ||||
\(838\) | −23.9570 | − | 11.0090i | −0.827581 | − | 0.380299i | ||||
\(839\) | 32.9911 | − | 5.81722i | 1.13898 | − | 0.200833i | 0.427820 | − | 0.903864i | \(-0.359282\pi\) |
0.711159 | + | 0.703031i | \(0.248171\pi\) | |||||||
\(840\) | −1.49375 | + | 9.38803i | −0.0515392 | + | 0.323918i | ||||
\(841\) | −41.3497 | − | 49.2787i | −1.42585 | − | 1.69927i | ||||
\(842\) | −29.3173 | − | 7.68045i | −1.01034 | − | 0.264686i | ||||
\(843\) | −2.35154 | + | 0.630093i | −0.0809914 | + | 0.0217016i | ||||
\(844\) | −4.37941 | + | 9.67209i | −0.150745 | + | 0.332927i | ||||
\(845\) | −31.1072 | + | 66.7095i | −1.07012 | + | 2.29488i | ||||
\(846\) | −0.871667 | + | 1.52942i | −0.0299685 | + | 0.0525826i | ||||
\(847\) | −1.93803 | − | 3.35677i | −0.0665915 | − | 0.115340i | ||||
\(848\) | −50.9710 | − | 3.31481i | −1.75035 | − | 0.113831i | ||||
\(849\) | 1.21205 | − | 6.87389i | 0.0415975 | − | 0.235911i | ||||
\(850\) | −0.0251435 | + | 0.147402i | −0.000862415 | + | 0.00505584i | ||||
\(851\) | 8.21948 | − | 0.719111i | 0.281760 | − | 0.0246508i | ||||
\(852\) | −5.36427 | − | 5.24583i | −0.183777 | − | 0.179719i | ||||
\(853\) | 7.23880 | + | 15.5236i | 0.247852 | + | 0.531520i | 0.990393 | − | 0.138281i | \(-0.0441576\pi\) |
−0.742541 | + | 0.669800i | \(0.766380\pi\) | |||||||
\(854\) | −4.63968 | + | 56.6730i | −0.158766 | + | 1.93931i | ||||
\(855\) | −22.5523 | + | 9.37504i | −0.771272 | + | 0.320620i | ||||
\(856\) | −1.21068 | − | 0.302769i | −0.0413801 | − | 0.0103484i | ||||
\(857\) | 0.531132 | − | 1.45927i | 0.0181431 | − | 0.0498478i | −0.930290 | − | 0.366824i | \(-0.880445\pi\) |
0.948434 | + | 0.316976i | \(0.102667\pi\) | |||||||
\(858\) | 1.81082 | + | 19.4470i | 0.0618203 | + | 0.663911i | ||||
\(859\) | 0.621701 | + | 7.10607i | 0.0212122 | + | 0.242456i | 0.999397 | + | 0.0347200i | \(0.0110540\pi\) |
−0.978185 | + | 0.207736i | \(0.933390\pi\) | |||||||
\(860\) | −15.1596 | + | 8.97949i | −0.516938 | + | 0.306198i | ||||
\(861\) | −4.02715 | − | 5.75137i | −0.137245 | − | 0.196006i | ||||
\(862\) | −36.3373 | + | 6.61657i | −1.23765 | + | 0.225361i | ||||
\(863\) | −19.7240 | − | 34.1630i | −0.671413 | − | 1.16292i | −0.977504 | − | 0.210919i | \(-0.932354\pi\) |
0.306091 | − | 0.952002i | \(-0.400979\pi\) | |||||||
\(864\) | −1.07833 | + | 18.1443i | −0.0366854 | + | 0.617281i | ||||
\(865\) | 3.39793 | − | 1.23675i | 0.115533 | − | 0.0420506i | ||||
\(866\) | 10.7711 | − | 30.1154i | 0.366019 | − | 1.02336i | ||||
\(867\) | 2.48488 | + | 9.27370i | 0.0843910 | + | 0.314951i | ||||
\(868\) | 6.05728 | − | 17.2385i | 0.205597 | − | 0.585114i | ||||
\(869\) | 49.6197 | + | 4.34116i | 1.68323 | + | 0.147264i | ||||
\(870\) | −11.4894 | − | 11.3618i | −0.389526 | − | 0.385202i | ||||
\(871\) | 24.9659 | − | 4.40216i | 0.845936 | − | 0.149161i | ||||
\(872\) | 27.0421 | − | 40.0303i | 0.915762 | − | 1.35560i | ||||
\(873\) | 6.47213i | 0.219048i | ||||||||
\(874\) | −7.69717 | + | 35.8813i | −0.260361 | + | 1.21370i | ||||
\(875\) | −23.6475 | − | 23.6475i | −0.799431 | − | 0.799431i | ||||
\(876\) | −1.24507 | + | 0.348557i | −0.0420671 | + | 0.0117766i | ||||
\(877\) | 12.2357 | + | 8.56752i | 0.413170 | + | 0.289305i | 0.761622 | − | 0.648022i | \(-0.224404\pi\) |
−0.348452 | + | 0.937327i | \(0.613292\pi\) | |||||||
\(878\) | −4.57797 | + | 0.0255506i | −0.154499 | + | 0.000862291i | ||||
\(879\) | 2.67192 | − | 2.24201i | 0.0901216 | − | 0.0756210i | ||||
\(880\) | 25.7881 | + | 14.1308i | 0.869316 | + | 0.476349i | ||||
\(881\) | −23.4550 | + | 40.6252i | −0.790218 | + | 1.36870i | 0.135613 | + | 0.990762i | \(0.456700\pi\) |
−0.925831 | + | 0.377937i | \(0.876634\pi\) | |||||||
\(882\) | 3.83755 | + | 1.37255i | 0.129217 | + | 0.0462161i | ||||
\(883\) | −14.3123 | + | 30.6928i | −0.481648 | + | 1.03290i | 0.503941 | + | 0.863738i | \(0.331883\pi\) |
−0.985589 | + | 0.169159i | \(0.945895\pi\) | |||||||
\(884\) | 1.92719 | + | 1.31762i | 0.0648183 | + | 0.0443163i | ||||
\(885\) | −3.79974 | + | 14.1808i | −0.127727 | + | 0.476683i | ||||
\(886\) | −2.12159 | − | 1.46797i | −0.0712761 | − | 0.0493175i | ||||
\(887\) | 12.2993 | + | 2.16869i | 0.412969 | + | 0.0728176i | 0.376273 | − | 0.926509i | \(-0.377205\pi\) |
0.0366963 | + | 0.999326i | \(0.488317\pi\) | |||||||
\(888\) | 0.723467 | − | 2.09627i | 0.0242780 | − | 0.0703460i | ||||
\(889\) | 5.44166 | − | 6.48512i | 0.182508 | − | 0.217504i | ||||
\(890\) | −2.08932 | − | 22.4380i | −0.0700341 | − | 0.752122i | ||||
\(891\) | −9.24652 | − | 19.8292i | −0.309770 | − | 0.664304i | ||||
\(892\) | −6.23568 | + | 37.8288i | −0.208786 | + | 1.26660i | ||||
\(893\) | 0.937127 | + | 1.79464i | 0.0313598 | + | 0.0600552i | ||||
\(894\) | 0.953770 | + | 1.12386i | 0.0318989 | + | 0.0375875i | ||||
\(895\) | −25.4245 | − | 9.25375i | −0.849847 | − | 0.309319i | ||||
\(896\) | −29.7589 | + | 12.1677i | −0.994175 | + | 0.406493i | ||||
\(897\) | 17.9116 | + | 15.0296i | 0.598050 | + | 0.501824i | ||||
\(898\) | −33.0847 | − | 5.64352i | −1.10405 | − | 0.188327i | ||||
\(899\) | 17.8143 | + | 25.4415i | 0.594141 | + | 0.848522i | ||||
\(900\) | −2.60634 | − | 2.13786i | −0.0868779 | − | 0.0712619i | ||||
\(901\) | −0.555648 | + | 2.07371i | −0.0185113 | + | 0.0690852i | ||||
\(902\) | −20.9471 | + | 5.73826i | −0.697463 | + | 0.191063i | ||||
\(903\) | −2.31677 | − | 6.36527i | −0.0770973 | − | 0.211823i | ||||
\(904\) | 3.19689 | + | 1.77503i | 0.106327 | + | 0.0590366i | ||||
\(905\) | 12.0193 | + | 6.93936i | 0.399536 | + | 0.230672i | ||||
\(906\) | 0.937650 | + | 0.245642i | 0.0311513 | + | 0.00816091i | ||||
\(907\) | −8.53419 | − | 0.746645i | −0.283373 | − | 0.0247919i | −0.0554168 | − | 0.998463i | \(-0.517649\pi\) |
−0.227956 | + | 0.973671i | \(0.573204\pi\) | |||||||
\(908\) | −0.309881 | + | 4.06394i | −0.0102838 | + | 0.134867i | ||||
\(909\) | 15.7382 | + | 11.0200i | 0.522004 | + | 0.365511i | ||||
\(910\) | −54.7062 | + | 20.2579i | −1.81349 | + | 0.671543i | ||||
\(911\) | 44.6847 | 1.48047 | 0.740236 | − | 0.672348i | \(-0.234714\pi\) | ||||
0.740236 | + | 0.672348i | \(0.234714\pi\) | |||||||
\(912\) | 7.96452 | + | 5.81808i | 0.263732 | + | 0.192656i | ||||
\(913\) | −41.9227 | −1.38744 | ||||||||
\(914\) | 5.83559 | − | 2.16094i | 0.193024 | − | 0.0714776i | ||||
\(915\) | −13.7080 | − | 9.59843i | −0.453172 | − | 0.317314i | ||||
\(916\) | −22.8124 | − | 1.73948i | −0.753743 | − | 0.0574740i | ||||
\(917\) | −7.83728 | − | 0.685673i | −0.258810 | − | 0.0226429i | ||||
\(918\) | 0.739019 | + | 0.193605i | 0.0243913 | + | 0.00638993i | ||||
\(919\) | 40.4735 | + | 23.3674i | 1.33510 | + | 0.770819i | 0.986076 | − | 0.166296i | \(-0.0531808\pi\) |
0.349021 | + | 0.937115i | \(0.386514\pi\) | |||||||
\(920\) | 33.8466 | − | 9.67937i | 1.11589 | − | 0.319119i | ||||
\(921\) | −5.72765 | − | 15.7366i | −0.188732 | − | 0.518538i | ||||
\(922\) | −13.0697 | + | 3.58030i | −0.430426 | + | 0.117911i | ||||
\(923\) | 11.9170 | − | 44.4747i | 0.392251 | − | 1.46390i | ||||
\(924\) | −7.16963 | + | 8.74075i | −0.235864 | + | 0.287550i | ||||
\(925\) | 0.499962 | + | 0.714020i | 0.0164387 | + | 0.0234768i | ||||
\(926\) | 25.5407 | + | 4.35667i | 0.839318 | + | 0.143169i | ||||
\(927\) | 27.9059 | + | 23.4158i | 0.916550 | + | 0.769076i | ||||
\(928\) | 12.6658 | − | 53.1610i | 0.415777 | − | 1.74510i | ||||
\(929\) | 24.4049 | + | 8.88267i | 0.800700 | + | 0.291431i | 0.709777 | − | 0.704427i | \(-0.248796\pi\) |
0.0909237 | + | 0.995858i | \(0.471018\pi\) | |||||||
\(930\) | 3.47939 | + | 4.09989i | 0.114094 | + | 0.134441i | ||||
\(931\) | 3.71506 | − | 2.85817i | 0.121756 | − | 0.0936727i | ||||
\(932\) | −10.4326 | − | 1.71971i | −0.341732 | − | 0.0563311i | ||||
\(933\) | 0.858671 | + | 1.84143i | 0.0281116 | + | 0.0602855i | ||||
\(934\) | −2.85848 | − | 30.6982i | −0.0935322 | − | 1.00448i | ||||
\(935\) | 0.794448 | − | 0.946786i | 0.0259812 | − | 0.0309632i | ||||
\(936\) | −47.3194 | + | 23.0376i | −1.54668 | + | 0.753009i | ||||
\(937\) | −48.8545 | − | 8.61436i | −1.59601 | − | 0.281419i | −0.696245 | − | 0.717804i | \(-0.745147\pi\) |
−0.899760 | + | 0.436385i | \(0.856259\pi\) | |||||||
\(938\) | 12.0668 | + | 8.34928i | 0.393994 | + | 0.272614i | ||||
\(939\) | 2.42037 | − | 9.03296i | 0.0789859 | − | 0.294779i | ||||
\(940\) | 1.09614 | − | 1.60325i | 0.0357523 | − | 0.0522923i | ||||
\(941\) | −7.69264 | + | 16.4969i | −0.250773 | + | 0.537784i | −0.990887 | − | 0.134697i | \(-0.956994\pi\) |
0.740114 | + | 0.672481i | \(0.234772\pi\) | |||||||
\(942\) | −6.43775 | − | 2.30254i | −0.209753 | − | 0.0750209i | ||||
\(943\) | −13.0005 | + | 22.5175i | −0.423354 | + | 0.733270i | ||||
\(944\) | −47.6616 | + | 13.9184i | −1.55125 | + | 0.453004i | ||||
\(945\) | −14.6238 | + | 12.2708i | −0.475712 | + | 0.399169i | ||||
\(946\) | −20.9534 | + | 0.116945i | −0.681255 | + | 0.00380222i | ||||
\(947\) | 49.5665 | + | 34.7069i | 1.61070 | + | 1.12782i | 0.910203 | + | 0.414163i | \(0.135926\pi\) |
0.700494 | + | 0.713659i | \(0.252963\pi\) | |||||||
\(948\) | −4.32055 | − | 15.4333i | −0.140325 | − | 0.501252i | ||||
\(949\) | −5.61049 | − | 5.61049i | −0.182124 | − | 0.182124i | ||||
\(950\) | −3.68938 | + | 1.19111i | −0.119699 | + | 0.0386446i | ||||
\(951\) | − | 10.2869i | − | 0.333575i | ||||||
\(952\) | 0.256897 | + | 1.32665i | 0.00832608 | + | 0.0429969i | ||||
\(953\) | −13.0728 | + | 2.30508i | −0.423469 | + | 0.0746690i | −0.381322 | − | 0.924442i | \(-0.624531\pi\) |
−0.0421473 | + | 0.999111i | \(0.513420\pi\) | |||||||
\(954\) | −34.4130 | − | 34.0310i | −1.11416 | − | 1.10179i | ||||
\(955\) | −10.1543 | − | 0.888383i | −0.328584 | − | 0.0287474i | ||||
\(956\) | 9.33440 | + | 3.27992i | 0.301896 | + | 0.106080i | ||||
\(957\) | −4.97355 | − | 18.5615i | −0.160772 | − | 0.600009i | ||||
\(958\) | 6.30905 | − | 17.6397i | 0.203836 | − | 0.569912i | ||||
\(959\) | −20.8570 | + | 7.59132i | −0.673507 | + | 0.245136i | ||||
\(960\) | 1.33011 | − | 9.36771i | 0.0429291 | − | 0.302342i | ||||
\(961\) | 10.3321 | + | 17.8958i | 0.333295 | + | 0.577283i | ||||
\(962\) | 13.3887 | − | 2.43791i | 0.431668 | − | 0.0786012i | ||||
\(963\) | −0.678235 | − | 0.968621i | −0.0218558 | − | 0.0312134i | ||||
\(964\) | 5.39791 | + | 9.11301i | 0.173855 | + | 0.293510i | ||||
\(965\) | 0.964678 | + | 11.0263i | 0.0310541 | + | 0.354950i | ||||
\(966\) | 1.25479 | + | 13.4757i | 0.0403722 | + | 0.433572i | ||||
\(967\) | −14.2567 | + | 39.1700i | −0.458465 | + | 1.25962i | 0.468163 | + | 0.883642i | \(0.344916\pi\) |
−0.926628 | + | 0.375979i | \(0.877306\pi\) | |||||||
\(968\) | 1.98464 | + | 3.30831i | 0.0637886 | + | 0.106333i | ||||
\(969\) | 0.305287 | − | 0.280458i | 0.00980724 | − | 0.00900962i | ||||
\(970\) | 0.582619 | − | 7.11662i | 0.0187068 | − | 0.228501i | ||||
\(971\) | 13.7513 | + | 29.4898i | 0.441302 | + | 0.946374i | 0.993624 | + | 0.112744i | \(0.0359639\pi\) |
−0.552323 | + | 0.833631i | \(0.686258\pi\) | |||||||
\(972\) | −18.4013 | + | 18.8167i | −0.590221 | + | 0.603547i | ||||
\(973\) | 17.5681 | − | 1.53701i | 0.563208 | − | 0.0492743i | ||||
\(974\) | −2.44864 | + | 14.3550i | −0.0784594 | + | 0.459962i | ||||
\(975\) | −0.428940 | + | 2.43264i | −0.0137371 | + | 0.0779067i | ||||
\(976\) | 3.67291 | − | 56.4774i | 0.117567 | − | 1.80780i | ||||
\(977\) | 18.4139 | + | 31.8937i | 0.589111 | + | 1.02037i | 0.994349 | + | 0.106160i | \(0.0338554\pi\) |
−0.405238 | + | 0.914211i | \(0.632811\pi\) | |||||||
\(978\) | 7.14155 | − | 12.5305i | 0.228361 | − | 0.400682i | ||||
\(979\) | 11.3260 | − | 24.2887i | 0.361980 | − | 0.776269i | ||||
\(980\) | −4.09613 | − | 1.85468i | −0.130846 | − | 0.0592456i | ||||
\(981\) | 44.2134 | − | 11.8470i | 1.41163 | − | 0.378244i | ||||
\(982\) | −1.44693 | − | 0.379060i | −0.0461733 | − | 0.0120963i | ||||
\(983\) | −30.1056 | − | 35.8785i | −0.960221 | − | 1.14435i | −0.989465 | − | 0.144775i | \(-0.953754\pi\) |
0.0292436 | − | 0.999572i | \(-0.490690\pi\) | |||||||
\(984\) | 4.10360 | + | 5.65657i | 0.130818 | + | 0.180325i | ||||
\(985\) | −24.8789 | + | 4.38682i | −0.792707 | + | 0.139776i | ||||
\(986\) | −2.08711 | − | 0.959089i | −0.0664670 | − | 0.0305436i | ||||
\(987\) | 0.527967 | + | 0.527967i | 0.0168054 | + | 0.0168054i | ||||
\(988\) | −7.15386 | + | 60.1039i | −0.227595 | + | 1.91216i | ||||
\(989\) | −17.7378 | + | 17.7378i | −0.564028 | + | 0.564028i | ||||
\(990\) | 9.67555 | + | 26.1287i | 0.307509 | + | 0.830424i | ||||
\(991\) | −9.43347 | − | 53.4999i | −0.299664 | − | 1.69948i | −0.647616 | − | 0.761967i | \(-0.724234\pi\) |
0.347951 | − | 0.937513i | \(-0.386877\pi\) | |||||||
\(992\) | −5.74084 | + | 17.2565i | −0.182272 | + | 0.547894i | ||||
\(993\) | 10.8739 | − | 9.12428i | 0.345073 | − | 0.289550i | ||||
\(994\) | 23.0057 | − | 13.4541i | 0.729697 | − | 0.426739i | ||||
\(995\) | 8.72191 | + | 32.5506i | 0.276503 | + | 1.03192i | ||||
\(996\) | 4.75475 | + | 12.6233i | 0.150660 | + | 0.399986i | ||||
\(997\) | −20.4467 | − | 9.53443i | −0.647552 | − | 0.301958i | 0.0709536 | − | 0.997480i | \(-0.477396\pi\) |
−0.718506 | + | 0.695521i | \(0.755174\pi\) | |||||||
\(998\) | 11.4737 | − | 3.14311i | 0.363194 | − | 0.0994934i | ||||
\(999\) | 3.85670 | − | 2.22666i | 0.122020 | − | 0.0704486i |
(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 | 304.2.bi.a.213.25 | yes | 456 | |
16.13 | even | 4 | inner | 304.2.bi.a.61.33 | yes | 456 | |
19.5 | even | 9 | inner | 304.2.bi.a.5.33 | ✓ | 456 | |
304.157 | even | 36 | inner | 304.2.bi.a.157.25 | yes | 456 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
304.2.bi.a.5.33 | ✓ | 456 | 19.5 | even | 9 | inner | |
304.2.bi.a.61.33 | yes | 456 | 16.13 | even | 4 | inner | |
304.2.bi.a.157.25 | yes | 456 | 304.157 | even | 36 | inner | |
304.2.bi.a.213.25 | yes | 456 | 1.1 | even | 1 | trivial |