Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [585,2,Mod(376,585)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(585, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4, 0, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("585.376");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 585 = 3^{2} \cdot 5 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 585.bt (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.67124851824\) |
Analytic rank: | \(0\) |
Dimension: | \(108\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 571.31 | ||
Character | \(\chi\) | \(=\) | 585.571 |
Dual form | 585.2.bt.b.376.31 |
$q$-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 \(\left(\mathbb{Z}/585\mathbb{Z}\right)^\times\).
\(n\) | \(326\) | \(352\) | \(496\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.355151 | − | 0.205047i | 0.251130 | − | 0.144990i | −0.369152 | − | 0.929369i | \(-0.620352\pi\) |
0.620282 | + | 0.784379i | \(0.287018\pi\) | |||||||
\(3\) | 0.841866 | + | 1.51369i | 0.486052 | + | 0.873930i | ||||
\(4\) | −0.915912 | + | 1.58641i | −0.457956 | + | 0.793203i | ||||
\(5\) | 0.866025 | + | 0.500000i | 0.387298 | + | 0.223607i | ||||
\(6\) | 0.609367 | + | 0.364968i | 0.248773 | + | 0.148997i | ||||
\(7\) | 0.661508 | − | 0.381922i | 0.250026 | − | 0.144353i | −0.369750 | − | 0.929131i | \(-0.620557\pi\) |
0.619776 | + | 0.784779i | \(0.287223\pi\) | |||||||
\(8\) | 1.57141i | 0.555576i | ||||||||
\(9\) | −1.58252 | + | 2.54865i | −0.527508 | + | 0.849550i | ||||
\(10\) | 0.410093 | 0.129683 | ||||||||
\(11\) | −0.384678 | + | 0.222094i | −0.115985 | + | 0.0669638i | −0.556870 | − | 0.830600i | \(-0.687998\pi\) |
0.440885 | + | 0.897563i | \(0.354665\pi\) | |||||||
\(12\) | −3.17240 | − | 0.0508663i | −0.915794 | − | 0.0146838i | ||||
\(13\) | 0.944367 | + | 3.47968i | 0.261920 | + | 0.965089i | ||||
\(14\) | 0.156624 | − | 0.271280i | 0.0418594 | − | 0.0725026i | ||||
\(15\) | −0.0277681 | + | 1.73183i | −0.00716970 | + | 0.447156i | ||||
\(16\) | −1.50961 | − | 2.61472i | −0.377403 | − | 0.653681i | ||||
\(17\) | −1.99449 | −0.483734 | −0.241867 | − | 0.970309i | \(-0.577760\pi\) | ||||
−0.241867 | + | 0.970309i | \(0.577760\pi\) | |||||||
\(18\) | −0.0394425 | + | 1.22965i | −0.00929669 | + | 0.289831i | ||||
\(19\) | − | 3.58544i | − | 0.822557i | −0.911510 | − | 0.411279i | \(-0.865082\pi\) | ||
0.911510 | − | 0.411279i | \(-0.134918\pi\) | |||||||
\(20\) | −1.58641 | + | 0.915912i | −0.354731 | + | 0.204804i | ||||
\(21\) | 1.13501 | + | 0.679791i | 0.247680 | + | 0.148343i | ||||
\(22\) | −0.0910792 | + | 0.157754i | −0.0194181 | + | 0.0336332i | ||||
\(23\) | 0.803282 | − | 1.39133i | 0.167496 | − | 0.290112i | −0.770043 | − | 0.637992i | \(-0.779765\pi\) |
0.937539 | + | 0.347881i | \(0.113099\pi\) | |||||||
\(24\) | −2.37862 | + | 1.32291i | −0.485534 | + | 0.270039i | ||||
\(25\) | 0.500000 | + | 0.866025i | 0.100000 | + | 0.173205i | ||||
\(26\) | 1.04889 | + | 1.04217i | 0.205704 | + | 0.204387i | ||||
\(27\) | −5.19014 | − | 0.249828i | −0.998844 | − | 0.0480793i | ||||
\(28\) | 1.39923i | 0.264429i | ||||||||
\(29\) | 0.298185 | + | 0.516472i | 0.0553716 | + | 0.0959064i | 0.892383 | − | 0.451280i | \(-0.149032\pi\) |
−0.837011 | + | 0.547186i | \(0.815699\pi\) | |||||||
\(30\) | 0.345244 | + | 0.620755i | 0.0630326 | + | 0.113334i | ||||
\(31\) | 6.94569 | + | 4.01010i | 1.24748 | + | 0.720235i | 0.970607 | − | 0.240671i | \(-0.0773674\pi\) |
0.276876 | + | 0.960906i | \(0.410701\pi\) | |||||||
\(32\) | −3.79404 | − | 2.19049i | −0.670697 | − | 0.387227i | ||||
\(33\) | −0.660028 | − | 0.395310i | −0.114896 | − | 0.0688146i | ||||
\(34\) | −0.708345 | + | 0.408963i | −0.121480 | + | 0.0701366i | ||||
\(35\) | 0.763843 | 0.129113 | ||||||||
\(36\) | −2.59374 | − | 4.84486i | −0.432291 | − | 0.807477i | ||||
\(37\) | 0.218284i | 0.0358857i | 0.999839 | + | 0.0179429i | \(0.00571170\pi\) | ||||
−0.999839 | + | 0.0179429i | \(0.994288\pi\) | |||||||
\(38\) | −0.735183 | − | 1.27338i | −0.119263 | − | 0.206569i | ||||
\(39\) | −4.47213 | + | 4.35891i | −0.716114 | + | 0.697983i | ||||
\(40\) | −0.785703 | + | 1.36088i | −0.124231 | + | 0.215174i | ||||
\(41\) | 0.971758 | + | 0.561045i | 0.151763 | + | 0.0876205i | 0.573959 | − | 0.818884i | \(-0.305407\pi\) |
−0.422195 | + | 0.906505i | \(0.638740\pi\) | |||||||
\(42\) | 0.542490 | + | 0.00869829i | 0.0837081 | + | 0.00134218i | ||||
\(43\) | −0.412762 | − | 0.714925i | −0.0629456 | − | 0.109025i | 0.832835 | − | 0.553521i | \(-0.186716\pi\) |
−0.895781 | + | 0.444496i | \(0.853383\pi\) | |||||||
\(44\) | − | 0.813673i | − | 0.122666i | ||||||
\(45\) | −2.64483 | + | 1.41594i | −0.394268 | + | 0.211075i | ||||
\(46\) | − | 0.658842i | − | 0.0971409i | ||||||
\(47\) | −3.55589 | + | 2.05299i | −0.518679 | + | 0.299460i | −0.736394 | − | 0.676553i | \(-0.763473\pi\) |
0.217715 | + | 0.976012i | \(0.430140\pi\) | |||||||
\(48\) | 2.68699 | − | 4.48633i | 0.387834 | − | 0.647547i | ||||
\(49\) | −3.20827 | + | 5.55689i | −0.458325 | + | 0.793841i | ||||
\(50\) | 0.355151 | + | 0.205047i | 0.0502260 | + | 0.0289980i | ||||
\(51\) | −1.67909 | − | 3.01904i | −0.235120 | − | 0.422750i | ||||
\(52\) | −6.38514 | − | 1.68893i | −0.885460 | − | 0.234212i | ||||
\(53\) | 5.08548 | 0.698544 | 0.349272 | − | 0.937021i | \(-0.386429\pi\) | ||||
0.349272 | + | 0.937021i | \(0.386429\pi\) | |||||||
\(54\) | −1.89451 | + | 0.975495i | −0.257811 | + | 0.132748i | ||||
\(55\) | −0.444187 | −0.0598942 | ||||||||
\(56\) | 0.600154 | + | 1.03950i | 0.0801989 | + | 0.138909i | ||||
\(57\) | 5.42725 | − | 3.01846i | 0.718857 | − | 0.399805i | ||||
\(58\) | 0.211802 | + | 0.122284i | 0.0278109 | + | 0.0160566i | ||||
\(59\) | −3.52561 | − | 2.03551i | −0.458996 | − | 0.265001i | 0.252626 | − | 0.967564i | \(-0.418706\pi\) |
−0.711622 | + | 0.702563i | \(0.752039\pi\) | |||||||
\(60\) | −2.72195 | − | 1.63025i | −0.351402 | − | 0.210465i | ||||
\(61\) | 1.88333 | + | 3.26202i | 0.241136 | + | 0.417659i | 0.961038 | − | 0.276416i | \(-0.0891468\pi\) |
−0.719902 | + | 0.694075i | \(0.755814\pi\) | |||||||
\(62\) | 3.28903 | 0.417707 | ||||||||
\(63\) | −0.0734659 | + | 2.29035i | −0.00925583 | + | 0.288557i | ||||
\(64\) | 4.24184 | 0.530230 | ||||||||
\(65\) | −0.921994 | + | 3.48567i | −0.114359 | + | 0.432345i | ||||
\(66\) | −0.315467 | − | 0.00505820i | −0.0388313 | − | 0.000622621i | ||||
\(67\) | 12.0106 | + | 6.93435i | 1.46733 | + | 0.847165i | 0.999331 | − | 0.0365620i | \(-0.0116407\pi\) |
0.468002 | + | 0.883727i | \(0.344974\pi\) | |||||||
\(68\) | 1.82677 | − | 3.16406i | 0.221529 | − | 0.383699i | ||||
\(69\) | 2.78229 | + | 0.0446113i | 0.334949 | + | 0.00537057i | ||||
\(70\) | 0.271280 | − | 0.156624i | 0.0324242 | − | 0.0187201i | ||||
\(71\) | − | 12.1545i | − | 1.44248i | −0.692687 | − | 0.721238i | \(-0.743573\pi\) | ||
0.692687 | − | 0.721238i | \(-0.256427\pi\) | |||||||
\(72\) | −4.00497 | − | 2.48679i | −0.471990 | − | 0.293070i | ||||
\(73\) | − | 3.80995i | − | 0.445921i | −0.974827 | − | 0.222961i | \(-0.928428\pi\) | ||
0.974827 | − | 0.222961i | \(-0.0715721\pi\) | |||||||
\(74\) | 0.0447585 | + | 0.0775240i | 0.00520307 | + | 0.00901198i | ||||
\(75\) | −0.889962 | + | 1.48592i | −0.102764 | + | 0.171580i | ||||
\(76\) | 5.68797 | + | 3.28395i | 0.652455 | + | 0.376695i | ||||
\(77\) | −0.169645 | + | 0.293833i | −0.0193328 | + | 0.0334854i | ||||
\(78\) | −0.694504 | + | 2.46507i | −0.0786371 | + | 0.279114i | ||||
\(79\) | 4.87017 | + | 8.43538i | 0.547937 | + | 0.949055i | 0.998416 | + | 0.0562674i | \(0.0179199\pi\) |
−0.450479 | + | 0.892787i | \(0.648747\pi\) | |||||||
\(80\) | − | 3.01922i | − | 0.337559i | ||||||
\(81\) | −3.99124 | − | 8.06660i | −0.443472 | − | 0.896288i | ||||
\(82\) | 0.460162 | 0.0508164 | ||||||||
\(83\) | 13.4267 | − | 7.75194i | 1.47378 | − | 0.850885i | 0.474213 | − | 0.880410i | \(-0.342733\pi\) |
0.999564 | + | 0.0295248i | \(0.00939940\pi\) | |||||||
\(84\) | −2.11800 | + | 1.17796i | −0.231092 | + | 0.128526i | ||||
\(85\) | −1.72728 | − | 0.997243i | −0.187349 | − | 0.108166i | ||||
\(86\) | −0.293186 | − | 0.169271i | −0.0316151 | − | 0.0182530i | ||||
\(87\) | −0.530747 | + | 0.886160i | −0.0569020 | + | 0.0950064i | ||||
\(88\) | −0.348999 | − | 0.604485i | −0.0372035 | − | 0.0644383i | ||||
\(89\) | − | 12.2951i | − | 1.30328i | −0.758527 | − | 0.651641i | \(-0.774081\pi\) | ||
0.758527 | − | 0.651641i | \(-0.225919\pi\) | |||||||
\(90\) | −0.648982 | + | 1.04519i | −0.0684087 | + | 0.110172i | ||||
\(91\) | 1.95367 | + | 1.94116i | 0.204800 | + | 0.203489i | ||||
\(92\) | 1.47147 | + | 2.54866i | 0.153412 | + | 0.265717i | ||||
\(93\) | −0.222706 | + | 13.8896i | −0.0230935 | + | 1.44028i | ||||
\(94\) | −0.841918 | + | 1.45825i | −0.0868372 | + | 0.150407i | ||||
\(95\) | 1.79272 | − | 3.10508i | 0.183929 | − | 0.318575i | ||||
\(96\) | 0.121652 | − | 7.58710i | 0.0124160 | − | 0.774355i | ||||
\(97\) | 12.3546 | − | 7.13294i | 1.25442 | − | 0.724241i | 0.282437 | − | 0.959286i | \(-0.408857\pi\) |
0.971984 | + | 0.235045i | \(0.0755238\pi\) | |||||||
\(98\) | 2.63138i | 0.265810i | ||||||||
\(99\) | 0.0427216 | − | 1.33188i | 0.00429369 | − | 0.133859i | ||||
\(100\) | −1.83182 | −0.183182 | ||||||||
\(101\) | 2.17351 | + | 3.76463i | 0.216272 | + | 0.374594i | 0.953665 | − | 0.300869i | \(-0.0972768\pi\) |
−0.737393 | + | 0.675464i | \(0.763944\pi\) | |||||||
\(102\) | −1.21537 | − | 0.727923i | −0.120340 | − | 0.0720751i | ||||
\(103\) | −3.41027 | + | 5.90676i | −0.336024 | + | 0.582010i | −0.983681 | − | 0.179922i | \(-0.942416\pi\) |
0.647657 | + | 0.761932i | \(0.275749\pi\) | |||||||
\(104\) | −5.46799 | + | 1.48398i | −0.536180 | + | 0.145517i | ||||
\(105\) | 0.643054 | + | 1.15622i | 0.0627556 | + | 0.112836i | ||||
\(106\) | 1.80611 | − | 1.04276i | 0.175425 | − | 0.101282i | ||||
\(107\) | 13.2610 | 1.28199 | 0.640994 | − | 0.767546i | \(-0.278522\pi\) | ||||
0.640994 | + | 0.767546i | \(0.278522\pi\) | |||||||
\(108\) | 5.15004 | − | 8.00485i | 0.495563 | − | 0.770267i | ||||
\(109\) | − | 5.04666i | − | 0.483382i | −0.970353 | − | 0.241691i | \(-0.922298\pi\) | ||
0.970353 | − | 0.241691i | \(-0.0777020\pi\) | |||||||
\(110\) | −0.157754 | + | 0.0910792i | −0.0150412 | + | 0.00868406i | ||||
\(111\) | −0.330415 | + | 0.183766i | −0.0313616 | + | 0.0174423i | ||||
\(112\) | −1.99724 | − | 1.15311i | −0.188721 | − | 0.108958i | ||||
\(113\) | 5.92692 | − | 10.2657i | 0.557557 | − | 0.965718i | −0.440142 | − | 0.897928i | \(-0.645072\pi\) |
0.997700 | − | 0.0677897i | \(-0.0215947\pi\) | |||||||
\(114\) | 1.30857 | − | 2.18485i | 0.122559 | − | 0.204630i | ||||
\(115\) | 1.39133 | − | 0.803282i | 0.129742 | − | 0.0749065i | ||||
\(116\) | −1.09244 | −0.101431 | ||||||||
\(117\) | −10.3630 | − | 3.09981i | −0.958057 | − | 0.286577i | ||||
\(118\) | −1.66950 | −0.153690 | ||||||||
\(119\) | −1.31937 | + | 0.761737i | −0.120946 | + | 0.0698283i | ||||
\(120\) | −2.72140 | − | 0.0436350i | −0.248429 | − | 0.00398331i | ||||
\(121\) | −5.40135 | + | 9.35541i | −0.491032 | + | 0.850492i | ||||
\(122\) | 1.33773 | + | 0.772341i | 0.121113 | + | 0.0699245i | ||||
\(123\) | −0.0311583 | + | 1.94327i | −0.00280945 | + | 0.175218i | ||||
\(124\) | −12.7233 | + | 7.34579i | −1.14258 | + | 0.659671i | ||||
\(125\) | 1.00000i | 0.0894427i | ||||||||
\(126\) | 0.443538 | + | 0.828485i | 0.0395135 | + | 0.0738074i | ||||
\(127\) | 7.14987 | 0.634449 | 0.317224 | − | 0.948351i | \(-0.397249\pi\) | ||||
0.317224 | + | 0.948351i | \(0.397249\pi\) | |||||||
\(128\) | 9.09457 | − | 5.25075i | 0.803854 | − | 0.464105i | ||||
\(129\) | 0.734685 | − | 1.22667i | 0.0646854 | − | 0.108002i | ||||
\(130\) | 0.387279 | + | 1.42699i | 0.0339666 | + | 0.125156i | ||||
\(131\) | 2.96349 | − | 5.13292i | 0.258921 | − | 0.448465i | −0.707032 | − | 0.707182i | \(-0.749966\pi\) |
0.965953 | + | 0.258717i | \(0.0832996\pi\) | |||||||
\(132\) | 1.23165 | − | 0.685004i | 0.107201 | − | 0.0596219i | ||||
\(133\) | −1.36936 | − | 2.37180i | −0.118738 | − | 0.205661i | ||||
\(134\) | 5.68746 | 0.491322 | ||||||||
\(135\) | −4.36988 | − | 2.81143i | −0.376100 | − | 0.241969i | ||||
\(136\) | − | 3.13415i | − | 0.268751i | ||||||
\(137\) | −7.89240 | + | 4.55668i | −0.674293 | + | 0.389303i | −0.797701 | − | 0.603053i | \(-0.793951\pi\) |
0.123408 | + | 0.992356i | \(0.460618\pi\) | |||||||
\(138\) | 0.997283 | − | 0.554657i | 0.0848944 | − | 0.0472155i | ||||
\(139\) | −9.30433 | + | 16.1156i | −0.789183 | + | 1.36690i | 0.137285 | + | 0.990532i | \(0.456162\pi\) |
−0.926468 | + | 0.376373i | \(0.877171\pi\) | |||||||
\(140\) | −0.699613 | + | 1.21177i | −0.0591281 | + | 0.102413i | ||||
\(141\) | −6.10117 | − | 3.65417i | −0.513812 | − | 0.307737i | ||||
\(142\) | −2.49225 | − | 4.31670i | −0.209145 | − | 0.362249i | ||||
\(143\) | −1.13609 | − | 1.12882i | −0.0950048 | − | 0.0943964i | ||||
\(144\) | 9.05301 | + | 0.290387i | 0.754418 | + | 0.0241989i | ||||
\(145\) | 0.596370i | 0.0495259i | ||||||||
\(146\) | −0.781218 | − | 1.35311i | −0.0646541 | − | 0.111984i | ||||
\(147\) | −11.1124 | − | 0.178175i | −0.916531 | − | 0.0146957i | ||||
\(148\) | −0.346288 | − | 0.199929i | −0.0284647 | − | 0.0164341i | ||||
\(149\) | −13.2410 | − | 7.64470i | −1.08475 | − | 0.626279i | −0.152574 | − | 0.988292i | \(-0.548756\pi\) |
−0.932173 | + | 0.362014i | \(0.882089\pi\) | |||||||
\(150\) | −0.0113875 | + | 0.710211i | −0.000929788 | + | 0.0579885i | ||||
\(151\) | −6.89403 | + | 3.98027i | −0.561029 | + | 0.323910i | −0.753558 | − | 0.657381i | \(-0.771664\pi\) |
0.192530 | + | 0.981291i | \(0.438331\pi\) | |||||||
\(152\) | 5.63419 | 0.456993 | ||||||||
\(153\) | 3.15632 | − | 5.08325i | 0.255173 | − | 0.410956i | ||||
\(154\) | 0.139140i | 0.0112123i | ||||||||
\(155\) | 4.01010 | + | 6.94569i | 0.322099 | + | 0.557891i | ||||
\(156\) | −2.81892 | − | 11.0870i | −0.225694 | − | 0.887669i | ||||
\(157\) | 6.94705 | − | 12.0326i | 0.554435 | − | 0.960310i | −0.443512 | − | 0.896268i | \(-0.646268\pi\) |
0.997947 | − | 0.0640415i | \(-0.0203990\pi\) | |||||||
\(158\) | 3.45930 | + | 1.99722i | 0.275207 | + | 0.158891i | ||||
\(159\) | 4.28129 | + | 7.69784i | 0.339528 | + | 0.610478i | ||||
\(160\) | −2.19049 | − | 3.79404i | −0.173173 | − | 0.299945i | ||||
\(161\) | − | 1.22716i | − | 0.0967140i | ||||||
\(162\) | −3.07153 | − | 2.04647i | −0.241322 | − | 0.160786i | ||||
\(163\) | − | 12.4121i | − | 0.972194i | −0.873905 | − | 0.486097i | \(-0.838420\pi\) | ||
0.873905 | − | 0.486097i | \(-0.161580\pi\) | |||||||
\(164\) | −1.78009 | + | 1.02774i | −0.139002 | + | 0.0802526i | ||||
\(165\) | −0.373946 | − | 0.672363i | −0.0291117 | − | 0.0523434i | ||||
\(166\) | 3.17902 | − | 5.50622i | 0.246740 | − | 0.427366i | ||||
\(167\) | −0.855330 | − | 0.493825i | −0.0661874 | − | 0.0382133i | 0.466541 | − | 0.884500i | \(-0.345500\pi\) |
−0.532728 | + | 0.846286i | \(0.678833\pi\) | |||||||
\(168\) | −1.06823 | + | 1.78356i | −0.0824156 | + | 0.137605i | ||||
\(169\) | −11.2163 | + | 6.57219i | −0.862795 | + | 0.505553i | ||||
\(170\) | −0.817926 | −0.0627321 | ||||||||
\(171\) | 9.13804 | + | 5.67404i | 0.698804 | + | 0.433905i | ||||
\(172\) | 1.51221 | 0.115305 | ||||||||
\(173\) | −11.8687 | − | 20.5572i | −0.902362 | − | 1.56294i | −0.824419 | − | 0.565979i | \(-0.808498\pi\) |
−0.0779430 | − | 0.996958i | \(-0.524835\pi\) | |||||||
\(174\) | −0.00679119 | + | 0.423549i | −0.000514839 | + | 0.0321092i | ||||
\(175\) | 0.661508 | + | 0.381922i | 0.0500053 | + | 0.0288706i | ||||
\(176\) | 1.16143 | + | 0.670551i | 0.0875459 | + | 0.0505446i | ||||
\(177\) | 0.113045 | − | 7.05032i | 0.00849698 | − | 0.529935i | ||||
\(178\) | −2.52108 | − | 4.36664i | −0.188963 | − | 0.327293i | ||||
\(179\) | −14.4659 | −1.08123 | −0.540616 | − | 0.841270i | \(-0.681809\pi\) | ||||
−0.540616 | + | 0.841270i | \(0.681809\pi\) | |||||||
\(180\) | 0.176183 | − | 5.49265i | 0.0131319 | − | 0.409398i | ||||
\(181\) | 12.7677 | 0.949018 | 0.474509 | − | 0.880251i | \(-0.342626\pi\) | ||||
0.474509 | + | 0.880251i | \(0.342626\pi\) | |||||||
\(182\) | 1.09188 | + | 0.288812i | 0.0809353 | + | 0.0214082i | ||||
\(183\) | −3.35218 | + | 5.59696i | −0.247800 | + | 0.413739i | ||||
\(184\) | 2.18634 | + | 1.26228i | 0.161179 | + | 0.0930567i | ||||
\(185\) | −0.109142 | + | 0.189040i | −0.00802430 | + | 0.0138985i | ||||
\(186\) | 2.76892 | + | 4.97858i | 0.203027 | + | 0.365047i | ||||
\(187\) | 0.767234 | − | 0.442963i | 0.0561057 | − | 0.0323927i | ||||
\(188\) | − | 7.52143i | − | 0.548557i | ||||||
\(189\) | −3.52873 | + | 1.81696i | −0.256678 | + | 0.132165i | ||||
\(190\) | − | 1.47037i | − | 0.106672i | ||||||
\(191\) | 3.92931 | + | 6.80577i | 0.284315 | + | 0.492448i | 0.972443 | − | 0.233141i | \(-0.0749004\pi\) |
−0.688128 | + | 0.725590i | \(0.741567\pi\) | |||||||
\(192\) | 3.57106 | + | 6.42083i | 0.257719 | + | 0.463384i | ||||
\(193\) | 1.16373 | + | 0.671881i | 0.0837672 | + | 0.0483630i | 0.541299 | − | 0.840830i | \(-0.317933\pi\) |
−0.457531 | + | 0.889194i | \(0.651266\pi\) | |||||||
\(194\) | 2.92517 | − | 5.06655i | 0.210015 | − | 0.363757i | ||||
\(195\) | −6.05243 | + | 1.53886i | −0.433424 | + | 0.110200i | ||||
\(196\) | −5.87699 | − | 10.1792i | −0.419785 | − | 0.727089i | ||||
\(197\) | 13.7449i | 0.979283i | 0.871924 | + | 0.489642i | \(0.162872\pi\) | ||||
−0.871924 | + | 0.489642i | \(0.837128\pi\) | |||||||
\(198\) | −0.257924 | − | 0.481778i | −0.0183299 | − | 0.0342385i | ||||
\(199\) | 14.2438 | 1.00972 | 0.504858 | − | 0.863202i | \(-0.331545\pi\) | ||||
0.504858 | + | 0.863202i | \(0.331545\pi\) | |||||||
\(200\) | −1.36088 | + | 0.785703i | −0.0962286 | + | 0.0555576i | ||||
\(201\) | −0.385108 | + | 24.0182i | −0.0271634 | + | 1.69411i | ||||
\(202\) | 1.54385 | + | 0.891341i | 0.108625 | + | 0.0627146i | ||||
\(203\) | 0.394503 | + | 0.227767i | 0.0276887 | + | 0.0159861i | ||||
\(204\) | 6.32731 | + | 0.101452i | 0.443001 | + | 0.00710307i | ||||
\(205\) | 0.561045 | + | 0.971758i | 0.0391851 | + | 0.0678705i | ||||
\(206\) | 2.79706i | 0.194880i | ||||||||
\(207\) | 2.27479 | + | 4.24909i | 0.158109 | + | 0.295332i | ||||
\(208\) | 7.67277 | − | 7.72223i | 0.532011 | − | 0.535440i | ||||
\(209\) | 0.796304 | + | 1.37924i | 0.0550815 | + | 0.0954040i | ||||
\(210\) | 0.465461 | + | 0.278778i | 0.0321199 | + | 0.0192375i | ||||
\(211\) | −2.36532 | + | 4.09686i | −0.162836 | + | 0.282040i | −0.935885 | − | 0.352307i | \(-0.885397\pi\) |
0.773049 | + | 0.634346i | \(0.218731\pi\) | |||||||
\(212\) | −4.65785 | + | 8.06763i | −0.319902 | + | 0.554087i | ||||
\(213\) | 18.3982 | − | 10.2325i | 1.26062 | − | 0.701118i | ||||
\(214\) | 4.70966 | − | 2.71912i | 0.321946 | − | 0.185875i | ||||
\(215\) | − | 0.825524i | − | 0.0563003i | ||||||
\(216\) | 0.392581 | − | 8.15582i | 0.0267117 | − | 0.554933i | ||||
\(217\) | 6.12617 | 0.415872 | ||||||||
\(218\) | −1.03480 | − | 1.79233i | −0.0700855 | − | 0.121392i | ||||
\(219\) | 5.76709 | − | 3.20747i | 0.389704 | − | 0.216741i | ||||
\(220\) | 0.406836 | − | 0.704661i | 0.0274289 | − | 0.0475083i | ||||
\(221\) | −1.88353 | − | 6.94017i | −0.126700 | − | 0.466847i | ||||
\(222\) | −0.0796668 | + | 0.133015i | −0.00534688 | + | 0.00892741i | ||||
\(223\) | 19.1394 | − | 11.0502i | 1.28167 | − | 0.739973i | 0.304517 | − | 0.952507i | \(-0.401505\pi\) |
0.977154 | + | 0.212534i | \(0.0681715\pi\) | |||||||
\(224\) | −3.34638 | −0.223589 | ||||||||
\(225\) | −2.99846 | − | 0.0961793i | −0.199897 | − | 0.00641195i | ||||
\(226\) | − | 4.86118i | − | 0.323361i | ||||||
\(227\) | −15.6911 | + | 9.05927i | −1.04146 | + | 0.601285i | −0.920245 | − | 0.391342i | \(-0.872011\pi\) |
−0.121211 | + | 0.992627i | \(0.538678\pi\) | |||||||
\(228\) | −0.182378 | + | 11.3745i | −0.0120783 | + | 0.753293i | ||||
\(229\) | −23.5892 | − | 13.6192i | −1.55882 | − | 0.899985i | −0.997370 | − | 0.0724733i | \(-0.976911\pi\) |
−0.561449 | − | 0.827511i | \(-0.689756\pi\) | |||||||
\(230\) | 0.329421 | − | 0.570574i | 0.0217214 | − | 0.0376225i | ||||
\(231\) | −0.587591 | − | 0.00942144i | −0.0386607 | − | 0.000619885i | ||||
\(232\) | −0.811587 | + | 0.468570i | −0.0532833 | + | 0.0307631i | ||||
\(233\) | −7.19231 | −0.471184 | −0.235592 | − | 0.971852i | \(-0.575703\pi\) | ||||
−0.235592 | + | 0.971852i | \(0.575703\pi\) | |||||||
\(234\) | −4.31603 | + | 1.02399i | −0.282148 | + | 0.0669405i | ||||
\(235\) | −4.10598 | −0.267845 | ||||||||
\(236\) | 6.45830 | − | 3.72870i | 0.420400 | − | 0.242718i | ||||
\(237\) | −8.66853 | + | 14.4734i | −0.563082 | + | 0.940148i | ||||
\(238\) | −0.312384 | + | 0.541064i | −0.0202488 | + | 0.0350720i | ||||
\(239\) | 20.5740 | + | 11.8784i | 1.33082 | + | 0.768352i | 0.985426 | − | 0.170104i | \(-0.0544104\pi\) |
0.345398 | + | 0.938456i | \(0.387744\pi\) | |||||||
\(240\) | 4.57017 | − | 2.54178i | 0.295003 | − | 0.164071i | ||||
\(241\) | −7.56313 | + | 4.36658i | −0.487184 | + | 0.281276i | −0.723406 | − | 0.690423i | \(-0.757424\pi\) |
0.236221 | + | 0.971699i | \(0.424091\pi\) | |||||||
\(242\) | 4.43012i | 0.284779i | ||||||||
\(243\) | 8.85024 | − | 12.8325i | 0.567743 | − | 0.823206i | ||||
\(244\) | −6.89985 | −0.441718 | ||||||||
\(245\) | −5.55689 | + | 3.20827i | −0.355017 | + | 0.204969i | ||||
\(246\) | 0.387395 | + | 0.696543i | 0.0246994 | + | 0.0444099i | ||||
\(247\) | 12.4762 | − | 3.38598i | 0.793841 | − | 0.215444i | ||||
\(248\) | −6.30149 | + | 10.9145i | −0.400145 | + | 0.693072i | ||||
\(249\) | 23.0376 | + | 13.7979i | 1.45995 | + | 0.874404i | ||||
\(250\) | 0.205047 | + | 0.355151i | 0.0129683 | + | 0.0224617i | ||||
\(251\) | −2.37245 | −0.149748 | −0.0748739 | − | 0.997193i | \(-0.523855\pi\) | ||||
−0.0748739 | + | 0.997193i | \(0.523855\pi\) | |||||||
\(252\) | −3.56614 | − | 2.21431i | −0.224646 | − | 0.139488i | ||||
\(253\) | 0.713616i | 0.0448646i | ||||||||
\(254\) | 2.53929 | − | 1.46606i | 0.159329 | − | 0.0919887i | ||||
\(255\) | 0.0553832 | − | 3.45411i | 0.00346823 | − | 0.216305i | ||||
\(256\) | −2.08854 | + | 3.61745i | −0.130534 | + | 0.226091i | ||||
\(257\) | 0.973773 | − | 1.68662i | 0.0607423 | − | 0.105209i | −0.834055 | − | 0.551681i | \(-0.813987\pi\) |
0.894797 | + | 0.446472i | \(0.147320\pi\) | |||||||
\(258\) | 0.00940068 | − | 0.586297i | 0.000585261 | − | 0.0365012i | ||||
\(259\) | 0.0833675 | + | 0.144397i | 0.00518021 | + | 0.00897238i | ||||
\(260\) | −4.68523 | − | 4.65523i | −0.290566 | − | 0.288705i | ||||
\(261\) | −1.78819 | − | 0.0573585i | −0.110686 | − | 0.00355040i | ||||
\(262\) | − | 2.43062i | − | 0.150164i | ||||||
\(263\) | −5.16187 | − | 8.94061i | −0.318294 | − | 0.551302i | 0.661838 | − | 0.749647i | \(-0.269777\pi\) |
−0.980132 | + | 0.198345i | \(0.936443\pi\) | |||||||
\(264\) | 0.621192 | − | 1.03717i | 0.0382317 | − | 0.0638336i | ||||
\(265\) | 4.40415 | + | 2.54274i | 0.270545 | + | 0.156199i | ||||
\(266\) | −0.972659 | − | 0.561565i | −0.0596375 | − | 0.0344317i | ||||
\(267\) | 18.6110 | − | 10.3509i | 1.13898 | − | 0.633463i | ||||
\(268\) | −22.0014 | + | 12.7025i | −1.34395 | + | 0.775929i | ||||
\(269\) | −29.9938 | −1.82875 | −0.914377 | − | 0.404864i | \(-0.867319\pi\) | ||||
−0.914377 | + | 0.404864i | \(0.867319\pi\) | |||||||
\(270\) | −2.12844 | − | 0.102453i | −0.129533 | − | 0.00623507i | ||||
\(271\) | 9.71520i | 0.590156i | 0.955473 | + | 0.295078i | \(0.0953457\pi\) | ||||
−0.955473 | + | 0.295078i | \(0.904654\pi\) | |||||||
\(272\) | 3.01090 | + | 5.21503i | 0.182563 | + | 0.316208i | ||||
\(273\) | −1.29359 | + | 4.59145i | −0.0782915 | + | 0.277887i | ||||
\(274\) | −1.86866 | + | 3.23662i | −0.112890 | + | 0.195531i | ||||
\(275\) | −0.384678 | − | 0.222094i | −0.0231969 | − | 0.0133928i | ||||
\(276\) | −2.61911 | + | 4.37299i | −0.157652 | + | 0.263223i | ||||
\(277\) | −1.76433 | − | 3.05592i | −0.106009 | − | 0.183612i | 0.808141 | − | 0.588989i | \(-0.200474\pi\) |
−0.914150 | + | 0.405376i | \(0.867140\pi\) | |||||||
\(278\) | 7.63129i | 0.457694i | ||||||||
\(279\) | −21.2121 | + | 11.3561i | −1.26993 | + | 0.679871i | ||||
\(280\) | 1.20031i | 0.0717321i | ||||||||
\(281\) | −10.2662 | + | 5.92722i | −0.612433 | + | 0.353588i | −0.773917 | − | 0.633287i | \(-0.781705\pi\) |
0.161484 | + | 0.986875i | \(0.448372\pi\) | |||||||
\(282\) | −2.91612 | − | 0.0467570i | −0.173652 | − | 0.00278434i | ||||
\(283\) | −2.73202 | + | 4.73201i | −0.162402 | + | 0.281289i | −0.935730 | − | 0.352718i | \(-0.885257\pi\) |
0.773328 | + | 0.634007i | \(0.218591\pi\) | |||||||
\(284\) | 19.2820 | + | 11.1325i | 1.14418 | + | 0.660591i | ||||
\(285\) | 6.20937 | + | 0.0995611i | 0.367811 | + | 0.00589749i | ||||
\(286\) | −0.634945 | − | 0.167949i | −0.0375451 | − | 0.00993102i | ||||
\(287\) | 0.857101 | 0.0505930 | ||||||||
\(288\) | 11.5869 | − | 6.20318i | 0.682767 | − | 0.365526i | ||||
\(289\) | −13.0220 | −0.766001 | ||||||||
\(290\) | 0.122284 | + | 0.211802i | 0.00718075 | + | 0.0124374i | ||||
\(291\) | 21.1980 | + | 12.6961i | 1.24265 | + | 0.744258i | ||||
\(292\) | 6.04413 | + | 3.48958i | 0.353706 | + | 0.204212i | ||||
\(293\) | 9.54928 | + | 5.51328i | 0.557875 | + | 0.322089i | 0.752292 | − | 0.658830i | \(-0.228948\pi\) |
−0.194417 | + | 0.980919i | \(0.562282\pi\) | |||||||
\(294\) | −3.98310 | + | 2.21527i | −0.232299 | + | 0.129197i | ||||
\(295\) | −2.03551 | − | 3.52561i | −0.118512 | − | 0.205269i | ||||
\(296\) | −0.343013 | −0.0199373 | ||||||||
\(297\) | 2.05202 | − | 1.05660i | 0.119070 | − | 0.0613099i | ||||
\(298\) | −6.27009 | −0.363216 | ||||||||
\(299\) | 5.59996 | + | 1.48124i | 0.323854 | + | 0.0856625i | ||||
\(300\) | −1.54215 | − | 2.77282i | −0.0890361 | − | 0.160089i | ||||
\(301\) | −0.546090 | − | 0.315285i | −0.0314761 | − | 0.0181728i | ||||
\(302\) | −1.63228 | + | 2.82720i | −0.0939274 | + | 0.162687i | ||||
\(303\) | −3.86868 | + | 6.45933i | −0.222250 | + | 0.371079i | ||||
\(304\) | −9.37494 | + | 5.41263i | −0.537690 | + | 0.310435i | ||||
\(305\) | 3.76666i | 0.215678i | ||||||||
\(306\) | 0.0786675 | − | 2.45252i | 0.00449712 | − | 0.140201i | ||||
\(307\) | 5.83757i | 0.333168i | 0.986027 | + | 0.166584i | \(0.0532736\pi\) | ||||
−0.986027 | + | 0.166584i | \(0.946726\pi\) | |||||||
\(308\) | −0.310759 | − | 0.538251i | −0.0177072 | − | 0.0306697i | ||||
\(309\) | −11.8120 | − | 0.189394i | −0.671961 | − | 0.0107742i | ||||
\(310\) | 2.84838 | + | 1.64451i | 0.161777 | + | 0.0934022i | ||||
\(311\) | −6.41979 | + | 11.1194i | −0.364033 | + | 0.630523i | −0.988620 | − | 0.150432i | \(-0.951934\pi\) |
0.624588 | + | 0.780955i | \(0.285267\pi\) | |||||||
\(312\) | −6.84961 | − | 7.02753i | −0.387783 | − | 0.397856i | ||||
\(313\) | 0.0950885 | + | 0.164698i | 0.00537472 | + | 0.00930929i | 0.868700 | − | 0.495338i | \(-0.164956\pi\) |
−0.863326 | + | 0.504647i | \(0.831622\pi\) | |||||||
\(314\) | − | 5.69788i | − | 0.321550i | ||||||
\(315\) | −1.20880 | + | 1.94677i | −0.0681081 | + | 0.109688i | ||||
\(316\) | −17.8426 | −1.00372 | ||||||||
\(317\) | 7.66153 | − | 4.42339i | 0.430314 | − | 0.248442i | −0.269166 | − | 0.963094i | \(-0.586748\pi\) |
0.699481 | + | 0.714652i | \(0.253415\pi\) | |||||||
\(318\) | 3.09892 | + | 1.85603i | 0.173779 | + | 0.104081i | ||||
\(319\) | −0.229410 | − | 0.132450i | −0.0128445 | − | 0.00741578i | ||||
\(320\) | 3.67354 | + | 2.12092i | 0.205357 | + | 0.118563i | ||||
\(321\) | 11.1640 | + | 20.0731i | 0.623113 | + | 1.12037i | ||||
\(322\) | −0.251626 | − | 0.435829i | −0.0140226 | − | 0.0242878i | ||||
\(323\) | 7.15112i | 0.397899i | ||||||||
\(324\) | 16.4525 | + | 1.05656i | 0.914029 | + | 0.0586976i | ||||
\(325\) | −2.54131 | + | 2.55769i | −0.140966 | + | 0.141875i | ||||
\(326\) | −2.54507 | − | 4.40819i | −0.140958 | − | 0.244147i | ||||
\(327\) | 7.63908 | − | 4.24861i | 0.422442 | − | 0.234949i | ||||
\(328\) | −0.881629 | + | 1.52703i | −0.0486798 | + | 0.0843159i | ||||
\(329\) | −1.56816 | + | 2.71614i | −0.0864556 | + | 0.149746i | ||||
\(330\) | −0.270673 | − | 0.162114i | −0.0149001 | − | 0.00892408i | ||||
\(331\) | 5.81280 | − | 3.35602i | 0.319500 | − | 0.184464i | −0.331669 | − | 0.943396i | \(-0.607612\pi\) |
0.651170 | + | 0.758932i | \(0.274279\pi\) | |||||||
\(332\) | 28.4004i | 1.55867i | ||||||||
\(333\) | −0.556331 | − | 0.345440i | −0.0304867 | − | 0.0189300i | ||||
\(334\) | −0.405029 | −0.0221622 | ||||||||
\(335\) | 6.93435 | + | 12.0106i | 0.378864 | + | 0.656211i | ||||
\(336\) | 0.0640393 | − | 3.99396i | 0.00349363 | − | 0.217889i | ||||
\(337\) | 3.79578 | − | 6.57448i | 0.206769 | − | 0.358135i | −0.743926 | − | 0.668262i | \(-0.767038\pi\) |
0.950695 | + | 0.310128i | \(0.100372\pi\) | |||||||
\(338\) | −2.63589 | + | 4.63400i | −0.143374 | + | 0.252056i | ||||
\(339\) | 20.5288 | + | 0.329159i | 1.11497 | + | 0.0178775i | ||||
\(340\) | 3.16406 | − | 1.82677i | 0.171595 | − | 0.0990707i | ||||
\(341\) | −3.56247 | −0.192919 | ||||||||
\(342\) | 4.40883 | + | 0.141419i | 0.238402 | + | 0.00764706i | ||||
\(343\) | 10.2481i | 0.553347i | ||||||||
\(344\) | 1.12344 | − | 0.648617i | 0.0605717 | − | 0.0349711i | ||||
\(345\) | 2.38723 | + | 1.42978i | 0.128524 | + | 0.0769769i | ||||
\(346\) | −8.43039 | − | 4.86729i | −0.453220 | − | 0.261667i | ||||
\(347\) | −8.64183 | + | 14.9681i | −0.463918 | + | 0.803529i | −0.999152 | − | 0.0411747i | \(-0.986890\pi\) |
0.535234 | + | 0.844704i | \(0.320223\pi\) | |||||||
\(348\) | −0.919692 | − | 1.65362i | −0.0493007 | − | 0.0886436i | ||||
\(349\) | −10.4484 | + | 6.03237i | −0.559289 | + | 0.322905i | −0.752860 | − | 0.658181i | \(-0.771326\pi\) |
0.193571 | + | 0.981086i | \(0.437993\pi\) | |||||||
\(350\) | 0.313247 | 0.0167438 | ||||||||
\(351\) | −4.03208 | − | 18.2960i | −0.215217 | − | 0.976566i | ||||
\(352\) | 1.94597 | 0.103721 | ||||||||
\(353\) | −10.5227 | + | 6.07527i | −0.560066 | + | 0.323354i | −0.753172 | − | 0.657824i | \(-0.771477\pi\) |
0.193106 | + | 0.981178i | \(0.438144\pi\) | |||||||
\(354\) | −1.40550 | − | 2.52711i | −0.0747014 | − | 0.134314i | ||||
\(355\) | 6.07726 | − | 10.5261i | 0.322548 | − | 0.558669i | ||||
\(356\) | 19.5051 | + | 11.2613i | 1.03377 | + | 0.596846i | ||||
\(357\) | −2.26377 | − | 1.35583i | −0.119811 | − | 0.0717584i | ||||
\(358\) | −5.13758 | + | 2.96618i | −0.271530 | + | 0.156768i | ||||
\(359\) | 0.257324i | 0.0135810i | 0.999977 | + | 0.00679052i | \(0.00216151\pi\) | ||||
−0.999977 | + | 0.00679052i | \(0.997838\pi\) | |||||||
\(360\) | −2.22501 | − | 4.15610i | −0.117268 | − | 0.219046i | ||||
\(361\) | 6.14460 | 0.323400 | ||||||||
\(362\) | 4.53448 | − | 2.61798i | 0.238327 | − | 0.137598i | ||||
\(363\) | −18.7084 | − | 0.299971i | −0.981937 | − | 0.0157444i | ||||
\(364\) | −4.86886 | + | 1.32138i | −0.255197 | + | 0.0692593i | ||||
\(365\) | 1.90498 | − | 3.29952i | 0.0997110 | − | 0.172705i | ||||
\(366\) | −0.0428929 | + | 2.67512i | −0.00224205 | + | 0.139831i | ||||
\(367\) | −7.37634 | − | 12.7762i | −0.385042 | − | 0.666912i | 0.606733 | − | 0.794906i | \(-0.292480\pi\) |
−0.991775 | + | 0.127993i | \(0.959146\pi\) | |||||||
\(368\) | −4.85058 | −0.252854 | ||||||||
\(369\) | −2.96774 | + | 1.58881i | −0.154494 | + | 0.0827100i | ||||
\(370\) | 0.0895170i | 0.00465377i | ||||||||
\(371\) | 3.36408 | − | 1.94225i | 0.174654 | − | 0.100837i | ||||
\(372\) | −21.8306 | − | 13.0749i | −1.13186 | − | 0.677905i | ||||
\(373\) | 13.1782 | − | 22.8252i | 0.682339 | − | 1.18185i | −0.291926 | − | 0.956441i | \(-0.594296\pi\) |
0.974265 | − | 0.225405i | \(-0.0723705\pi\) | |||||||
\(374\) | 0.181656 | − | 0.314638i | 0.00939322 | − | 0.0162695i | ||||
\(375\) | −1.51369 | + | 0.841866i | −0.0781667 | + | 0.0434738i | ||||
\(376\) | −3.22608 | − | 5.58774i | −0.166372 | − | 0.288166i | ||||
\(377\) | −1.51556 | + | 1.52533i | −0.0780553 | + | 0.0785584i | ||||
\(378\) | −0.880672 | + | 1.36885i | −0.0452969 | + | 0.0704062i | ||||
\(379\) | − | 20.4293i | − | 1.04938i | −0.851293 | − | 0.524691i | \(-0.824181\pi\) | ||
0.851293 | − | 0.524691i | \(-0.175819\pi\) | |||||||
\(380\) | 3.28395 | + | 5.68797i | 0.168463 | + | 0.291787i | ||||
\(381\) | 6.01924 | + | 10.8227i | 0.308375 | + | 0.554464i | ||||
\(382\) | 2.79100 | + | 1.61139i | 0.142800 | + | 0.0824457i | ||||
\(383\) | −32.6742 | − | 18.8644i | −1.66957 | − | 0.963928i | −0.967868 | − | 0.251459i | \(-0.919090\pi\) |
−0.701704 | − | 0.712469i | \(-0.747577\pi\) | |||||||
\(384\) | 15.6044 | + | 9.34594i | 0.796310 | + | 0.476933i | ||||
\(385\) | −0.293833 | + | 0.169645i | −0.0149751 | + | 0.00864590i | ||||
\(386\) | 0.551068 | 0.0280486 | ||||||||
\(387\) | 2.47530 | + | 0.0793983i | 0.125827 | + | 0.00403604i | ||||
\(388\) | 26.1326i | 1.32668i | ||||||||
\(389\) | −16.3053 | − | 28.2416i | −0.826712 | − | 1.43191i | −0.900604 | − | 0.434640i | \(-0.856875\pi\) |
0.0738923 | − | 0.997266i | \(-0.476458\pi\) | |||||||
\(390\) | −1.83399 | + | 1.78756i | −0.0928678 | + | 0.0905166i | ||||
\(391\) | −1.60214 | + | 2.77498i | −0.0810235 | + | 0.140337i | ||||
\(392\) | −8.73213 | − | 5.04150i | −0.441039 | − | 0.254634i | ||||
\(393\) | 10.2645 | + | 0.164581i | 0.517776 | + | 0.00830203i | ||||
\(394\) | 2.81835 | + | 4.88152i | 0.141986 | + | 0.245927i | ||||
\(395\) | 9.74034i | 0.490090i | ||||||||
\(396\) | 2.07377 | + | 1.28766i | 0.104211 | + | 0.0647071i | ||||
\(397\) | − | 19.0703i | − | 0.957113i | −0.878057 | − | 0.478556i | \(-0.841160\pi\) | ||
0.878057 | − | 0.478556i | \(-0.158840\pi\) | |||||||
\(398\) | 5.05870 | − | 2.92064i | 0.253570 | − | 0.146399i | ||||
\(399\) | 2.43735 | − | 4.06952i | 0.122020 | − | 0.203731i | ||||
\(400\) | 1.50961 | − | 2.61472i | 0.0754806 | − | 0.130736i | ||||
\(401\) | 21.4147 | + | 12.3638i | 1.06940 | + | 0.617417i | 0.928017 | − | 0.372539i | \(-0.121513\pi\) |
0.141380 | + | 0.989955i | \(0.454846\pi\) | |||||||
\(402\) | 4.78808 | + | 8.60906i | 0.238808 | + | 0.429381i | ||||
\(403\) | −7.39457 | + | 27.9558i | −0.368350 | + | 1.39258i | ||||
\(404\) | −7.96296 | −0.396172 | ||||||||
\(405\) | 0.576779 | − | 8.98150i | 0.0286604 | − | 0.446294i | ||||
\(406\) | 0.186811 | 0.00927129 | ||||||||
\(407\) | −0.0484796 | − | 0.0839691i | −0.00240304 | − | 0.00416220i | ||||
\(408\) | 4.74413 | − | 2.63853i | 0.234870 | − | 0.130627i | ||||
\(409\) | −4.97619 | − | 2.87301i | −0.246057 | − | 0.142061i | 0.371900 | − | 0.928273i | \(-0.378706\pi\) |
−0.617957 | + | 0.786212i | \(0.712040\pi\) | |||||||
\(410\) | 0.398512 | + | 0.230081i | 0.0196811 | + | 0.0113629i | ||||
\(411\) | −13.5417 | − | 8.11054i | −0.667965 | − | 0.400064i | ||||
\(412\) | −6.24701 | − | 10.8201i | −0.307768 | − | 0.533070i | ||||
\(413\) | −3.10963 | −0.153015 | ||||||||
\(414\) | 1.67916 | + | 1.04263i | 0.0825261 | + | 0.0512426i | ||||
\(415\) | 15.5039 | 0.761055 | ||||||||
\(416\) | 4.03923 | − | 15.2707i | 0.198040 | − | 0.748705i | ||||
\(417\) | −32.2270 | − | 0.516728i | −1.57816 | − | 0.0253043i | ||||
\(418\) | 0.565617 | + | 0.326559i | 0.0276652 | + | 0.0159725i | ||||
\(419\) | 3.75989 | − | 6.51233i | 0.183683 | − | 0.318148i | −0.759449 | − | 0.650567i | \(-0.774531\pi\) |
0.943132 | + | 0.332419i | \(0.107865\pi\) | |||||||
\(420\) | −2.42322 | − | 0.0388539i | −0.118241 | − | 0.00189588i | ||||
\(421\) | −16.3791 | + | 9.45649i | −0.798270 | + | 0.460881i | −0.842866 | − | 0.538124i | \(-0.819133\pi\) |
0.0445961 | + | 0.999005i | \(0.485800\pi\) | |||||||
\(422\) | 1.94001i | 0.0944381i | ||||||||
\(423\) | 0.394911 | − | 12.3116i | 0.0192012 | − | 0.598611i | ||||
\(424\) | 7.99135i | 0.388094i | ||||||||
\(425\) | −0.997243 | − | 1.72728i | −0.0483734 | − | 0.0837852i | ||||
\(426\) | 4.43601 | − | 7.40657i | 0.214925 | − | 0.358850i | ||||
\(427\) | 2.49167 | + | 1.43857i | 0.120580 | + | 0.0696172i | ||||
\(428\) | −12.1459 | + | 21.0373i | −0.587094 | + | 1.01688i | ||||
\(429\) | 0.752243 | − | 2.67001i | 0.0363186 | − | 0.128909i | ||||
\(430\) | −0.169271 | − | 0.293186i | −0.00816297 | − | 0.0141387i | ||||
\(431\) | − | 7.12386i | − | 0.343144i | −0.985172 | − | 0.171572i | \(-0.945115\pi\) | ||
0.985172 | − | 0.171572i | \(-0.0548847\pi\) | |||||||
\(432\) | 7.18187 | + | 13.9479i | 0.345538 | + | 0.671070i | ||||
\(433\) | −5.14134 | −0.247077 | −0.123538 | − | 0.992340i | \(-0.539424\pi\) | ||||
−0.123538 | + | 0.992340i | \(0.539424\pi\) | |||||||
\(434\) | 2.17572 | − | 1.25615i | 0.104438 | − | 0.0602972i | ||||
\(435\) | −0.902720 | + | 0.502064i | −0.0432821 | + | 0.0240721i | ||||
\(436\) | 8.00604 | + | 4.62229i | 0.383420 | + | 0.221368i | ||||
\(437\) | −4.98852 | − | 2.88012i | −0.238633 | − | 0.137775i | ||||
\(438\) | 1.39051 | − | 2.32166i | 0.0664411 | − | 0.110933i | ||||
\(439\) | −6.34688 | − | 10.9931i | −0.302920 | − | 0.524673i | 0.673876 | − | 0.738844i | \(-0.264628\pi\) |
−0.976796 | + | 0.214172i | \(0.931295\pi\) | |||||||
\(440\) | − | 0.697999i | − | 0.0332758i | ||||||
\(441\) | −9.08541 | − | 16.9707i | −0.432639 | − | 0.808127i | ||||
\(442\) | −2.09200 | − | 2.07860i | −0.0995062 | − | 0.0988690i | ||||
\(443\) | 15.7797 | + | 27.3312i | 0.749715 | + | 1.29854i | 0.947959 | + | 0.318392i | \(0.103143\pi\) |
−0.198244 | + | 0.980153i | \(0.563524\pi\) | |||||||
\(444\) | 0.0111033 | − | 0.692486i | 0.000526941 | − | 0.0328639i | ||||
\(445\) | 6.14757 | − | 10.6479i | 0.291423 | − | 0.504759i | ||||
\(446\) | 4.53160 | − | 7.84896i | 0.214577 | − | 0.371659i | ||||
\(447\) | 0.424558 | − | 26.4786i | 0.0200809 | − | 1.25240i | ||||
\(448\) | 2.80601 | − | 1.62005i | 0.132571 | − | 0.0765401i | ||||
\(449\) | − | 9.40266i | − | 0.443739i | −0.975076 | − | 0.221869i | \(-0.928784\pi\) | ||
0.975076 | − | 0.221869i | \(-0.0712159\pi\) | |||||||
\(450\) | −1.08463 | + | 0.580666i | −0.0511298 | + | 0.0273728i | ||||
\(451\) | −0.498418 | −0.0234696 | ||||||||
\(452\) | 10.8571 | + | 18.8050i | 0.510673 | + | 0.884512i | ||||
\(453\) | −11.8288 | − | 7.08458i | −0.555763 | − | 0.332863i | ||||
\(454\) | −3.71515 | + | 6.43483i | −0.174361 | + | 0.302001i | ||||
\(455\) | 0.721349 | + | 2.65793i | 0.0338173 | + | 0.124606i | ||||
\(456\) | 4.74323 | + | 8.52842i | 0.222122 | + | 0.399380i | ||||
\(457\) | 20.8562 | − | 12.0413i | 0.975612 | − | 0.563270i | 0.0746694 | − | 0.997208i | \(-0.476210\pi\) |
0.900942 | + | 0.433939i | \(0.142877\pi\) | |||||||
\(458\) | −11.1703 | −0.521955 | ||||||||
\(459\) | 10.3517 | + | 0.498278i | 0.483175 | + | 0.0232576i | ||||
\(460\) | 2.94294i | 0.137215i | ||||||||
\(461\) | −29.3557 | + | 16.9485i | −1.36723 | + | 0.789370i | −0.990573 | − | 0.136983i | \(-0.956259\pi\) |
−0.376656 | + | 0.926353i | \(0.622926\pi\) | |||||||
\(462\) | −0.210616 | + | 0.117138i | −0.00979873 | + | 0.00544974i | ||||
\(463\) | −27.8998 | − | 16.1079i | −1.29661 | − | 0.748599i | −0.316795 | − | 0.948494i | \(-0.602607\pi\) |
−0.979817 | + | 0.199895i | \(0.935940\pi\) | |||||||
\(464\) | 0.900287 | − | 1.55934i | 0.0417948 | − | 0.0723907i | ||||
\(465\) | −7.13767 | + | 11.9174i | −0.331001 | + | 0.552656i | ||||
\(466\) | −2.55436 | + | 1.47476i | −0.118328 | + | 0.0683169i | ||||
\(467\) | 22.9157 | 1.06041 | 0.530206 | − | 0.847869i | \(-0.322115\pi\) | ||||
0.530206 | + | 0.847869i | \(0.322115\pi\) | |||||||
\(468\) | 14.4091 | − | 13.6007i | 0.666062 | − | 0.628694i | ||||
\(469\) | 10.5935 | 0.489163 | ||||||||
\(470\) | −1.45825 | + | 0.841918i | −0.0672638 | + | 0.0388348i | ||||
\(471\) | 24.0622 | + | 0.385813i | 1.10873 | + | 0.0177773i | ||||
\(472\) | 3.19862 | − | 5.54017i | 0.147228 | − | 0.255007i | ||||
\(473\) | 0.317561 | + | 0.183344i | 0.0146015 | + | 0.00843015i | ||||
\(474\) | −0.110918 | + | 6.91770i | −0.00509465 | + | 0.317741i | ||||
\(475\) | 3.10508 | − | 1.79272i | 0.142471 | − | 0.0822557i | ||||
\(476\) | − | 2.79074i | − | 0.127913i | ||||||
\(477\) | −8.04788 | + | 12.9611i | −0.368487 | + | 0.593448i | ||||
\(478\) | 9.74254 | 0.445613 | ||||||||
\(479\) | 24.2251 | − | 13.9864i | 1.10687 | − | 0.639053i | 0.168855 | − | 0.985641i | \(-0.445993\pi\) |
0.938018 | + | 0.346587i | \(0.112660\pi\) | |||||||
\(480\) | 3.89890 | − | 6.50979i | 0.177960 | − | 0.297130i | ||||
\(481\) | −0.759560 | + | 0.206141i | −0.0346329 | + | 0.00939921i | ||||
\(482\) | −1.79070 | + | 3.10159i | −0.0815644 | + | 0.141274i | ||||
\(483\) | 1.85755 | − | 1.03311i | 0.0845213 | − | 0.0470080i | ||||
\(484\) | −9.89432 | − | 17.1375i | −0.449742 | − | 0.778975i | ||||
\(485\) | 14.2659 | 0.647781 | ||||||||
\(486\) | 0.511912 | − | 6.37220i | 0.0232208 | − | 0.289049i | ||||
\(487\) | − | 17.7388i | − | 0.803820i | −0.915679 | − | 0.401910i | \(-0.868347\pi\) | ||
0.915679 | − | 0.401910i | \(-0.131653\pi\) | |||||||
\(488\) | −5.12596 | + | 2.95947i | −0.232041 | + | 0.133969i | ||||
\(489\) | 18.7882 | − | 10.4494i | 0.849630 | − | 0.472537i | ||||
\(490\) | −1.31569 | + | 2.27884i | −0.0594369 | + | 0.102948i | ||||
\(491\) | 11.1026 | − | 19.2302i | 0.501052 | − | 0.867847i | −0.498947 | − | 0.866632i | \(-0.666280\pi\) |
0.999999 | − | 0.00121505i | \(-0.000386762\pi\) | |||||||
\(492\) | −3.05427 | − | 1.82929i | −0.137697 | − | 0.0824708i | ||||
\(493\) | −0.594726 | − | 1.03010i | −0.0267851 | − | 0.0463932i | ||||
\(494\) | 3.73665 | − | 3.76074i | 0.168120 | − | 0.169204i | ||||
\(495\) | 0.702937 | − | 1.13208i | 0.0315947 | − | 0.0508832i | ||||
\(496\) | − | 24.2148i | − | 1.08727i | ||||||
\(497\) | −4.64208 | − | 8.04031i | −0.208226 | − | 0.360657i | ||||
\(498\) | 11.0110 | + | 0.176551i | 0.493416 | + | 0.00791143i | ||||
\(499\) | 1.82679 | + | 1.05470i | 0.0817782 | + | 0.0472147i | 0.540331 | − | 0.841452i | \(-0.318299\pi\) |
−0.458553 | + | 0.888667i | \(0.651632\pi\) | |||||||
\(500\) | −1.58641 | − | 0.915912i | −0.0709462 | − | 0.0409608i | ||||
\(501\) | 0.0274252 | − | 1.71044i | 0.00122527 | − | 0.0764168i | ||||
\(502\) | −0.842579 | + | 0.486463i | −0.0376062 | + | 0.0217119i | ||||
\(503\) | 27.2835 | 1.21651 | 0.608256 | − | 0.793741i | \(-0.291869\pi\) | ||||
0.608256 | + | 0.793741i | \(0.291869\pi\) | |||||||
\(504\) | −3.59907 | − | 0.115445i | −0.160315 | − | 0.00514232i | ||||
\(505\) | 4.34702i | 0.193440i | ||||||||
\(506\) | 0.146325 | + | 0.253442i | 0.00650492 | + | 0.0112669i | ||||
\(507\) | −19.3909 | − | 11.4452i | −0.861181 | − | 0.508298i | ||||
\(508\) | −6.54865 | + | 11.3426i | −0.290550 | + | 0.503247i | ||||
\(509\) | −1.10835 | − | 0.639905i | −0.0491267 | − | 0.0283633i | 0.475236 | − | 0.879859i | \(-0.342363\pi\) |
−0.524362 | + | 0.851495i | \(0.675696\pi\) | |||||||
\(510\) | −0.688584 | − | 1.23809i | −0.0304910 | − | 0.0548234i | ||||
\(511\) | −1.45510 | − | 2.52031i | −0.0643700 | − | 0.111492i | ||||
\(512\) | 22.7160i | 1.00391i | ||||||||
\(513\) | −0.895743 | + | 18.6090i | −0.0395480 | + | 0.821606i | ||||
\(514\) | − | 0.798676i | − | 0.0352281i | ||||||
\(515\) | −5.90676 | + | 3.41027i | −0.260283 | + | 0.150274i | ||||
\(516\) | 1.27308 | + | 2.28903i | 0.0560443 | + | 0.100769i | ||||
\(517\) | 0.911913 | − | 1.57948i | 0.0401059 | − | 0.0694654i | ||||
\(518\) | 0.0592162 | + | 0.0341885i | 0.00260181 | + | 0.00150216i | ||||
\(519\) | 21.1254 | − | 35.2720i | 0.927303 | − | 1.54827i | ||||
\(520\) | −5.47741 | − | 1.44883i | −0.240200 | − | 0.0635352i | ||||
\(521\) | −8.57816 | −0.375816 | −0.187908 | − | 0.982187i | \(-0.560171\pi\) | ||||
−0.187908 | + | 0.982187i | \(0.560171\pi\) | |||||||
\(522\) | −0.646840 | + | 0.346292i | −0.0283114 | + | 0.0151568i | ||||
\(523\) | −3.25874 | −0.142495 | −0.0712473 | − | 0.997459i | \(-0.522698\pi\) | ||||
−0.0712473 | + | 0.997459i | \(0.522698\pi\) | |||||||
\(524\) | 5.42859 | + | 9.40260i | 0.237149 | + | 0.410754i | ||||
\(525\) | −0.0212105 | + | 1.32285i | −0.000925702 | + | 0.0577337i | ||||
\(526\) | −3.66649 | − | 2.11685i | −0.159866 | − | 0.0922989i | ||||
\(527\) | −13.8531 | − | 7.99808i | −0.603450 | − | 0.348402i | ||||
\(528\) | −0.0372399 | + | 2.32256i | −0.00162066 | + | 0.101076i | ||||
\(529\) | 10.2095 | + | 17.6833i | 0.443890 | + | 0.768840i | ||||
\(530\) | 2.08552 | 0.0905892 | ||||||||
\(531\) | 10.7672 | − | 5.76431i | 0.467256 | − | 0.250150i | ||||
\(532\) | 5.01684 | 0.217508 | ||||||||
\(533\) | −1.03456 | + | 3.91124i | −0.0448117 | + | 0.169415i | ||||
\(534\) | 4.48733 | − | 7.49226i | 0.194186 | − | 0.324222i | ||||
\(535\) | 11.4844 | + | 6.63050i | 0.496512 | + | 0.286661i | ||||
\(536\) | −10.8967 | + | 18.8736i | −0.470665 | + | 0.815215i | ||||
\(537\) | −12.1783 | − | 21.8969i | −0.525534 | − | 0.944921i | ||||
\(538\) | −10.6523 | + | 6.15013i | −0.459255 | + | 0.265151i | ||||
\(539\) | − | 2.85015i | − | 0.122765i | ||||||
\(540\) | 8.46249 | − | 4.35738i | 0.364168 | − | 0.187512i | ||||
\(541\) | 4.56408i | 0.196225i | 0.995175 | + | 0.0981126i | \(0.0312805\pi\) | ||||
−0.995175 | + | 0.0981126i | \(0.968719\pi\) | |||||||
\(542\) | 1.99207 | + | 3.45037i | 0.0855667 | + | 0.148206i | ||||
\(543\) | 10.7487 | + | 19.3264i | 0.461272 | + | 0.829376i | ||||
\(544\) | 7.56715 | + | 4.36890i | 0.324439 | + | 0.187315i | ||||
\(545\) | 2.52333 | − | 4.37053i | 0.108088 | − | 0.187213i | ||||
\(546\) | 0.482043 | + | 1.89591i | 0.0206295 | + | 0.0811373i | ||||
\(547\) | −19.2674 | − | 33.3721i | −0.823814 | − | 1.42689i | −0.902823 | − | 0.430013i | \(-0.858509\pi\) |
0.0790092 | − | 0.996874i | \(-0.474824\pi\) | |||||||
\(548\) | − | 16.6941i | − | 0.713135i | ||||||
\(549\) | −11.2942 | − | 0.362274i | −0.482023 | − | 0.0154615i | ||||
\(550\) | −0.182158 | −0.00776726 | ||||||||
\(551\) | 1.85178 | − | 1.06913i | 0.0788885 | − | 0.0455463i | ||||
\(552\) | −0.0701025 | + | 4.37211i | −0.00298376 | + | 0.186090i | ||||
\(553\) | 6.44331 | + | 3.72005i | 0.273997 | + | 0.158192i | ||||
\(554\) | −1.25321 | − | 0.723542i | −0.0532439 | − | 0.0307404i | ||||
\(555\) | −0.378031 | − | 0.00606135i | −0.0160465 | − | 0.000257290i | ||||
\(556\) | −17.0439 | − | 29.5209i | −0.722822 | − | 1.25196i | ||||
\(557\) | 30.0258i | 1.27223i | 0.771593 | + | 0.636117i | \(0.219460\pi\) | ||||
−0.771593 | + | 0.636117i | \(0.780540\pi\) | |||||||
\(558\) | −5.20496 | + | 8.38259i | −0.220344 | + | 0.354863i | ||||
\(559\) | 2.09791 | − | 2.11143i | 0.0887322 | − | 0.0893040i | ||||
\(560\) | −1.15311 | − | 1.99724i | −0.0487276 | − | 0.0843988i | ||||
\(561\) | 1.31642 | + | 0.788440i | 0.0555792 | + | 0.0332880i | ||||
\(562\) | −2.43071 | + | 4.21012i | −0.102534 | + | 0.177593i | ||||
\(563\) | −18.2775 | + | 31.6575i | −0.770303 | + | 1.33420i | 0.167094 | + | 0.985941i | \(0.446562\pi\) |
−0.937397 | + | 0.348263i | \(0.886772\pi\) | |||||||
\(564\) | 11.3851 | − | 6.33204i | 0.479400 | − | 0.266627i | ||||
\(565\) | 10.2657 | − | 5.92692i | 0.431882 | − | 0.249347i | ||||
\(566\) | 2.24077i | 0.0941866i | ||||||||
\(567\) | −5.72105 | − | 3.81177i | −0.240261 | − | 0.160079i | ||||
\(568\) | 19.0997 | 0.801405 | ||||||||
\(569\) | −17.1303 | − | 29.6706i | −0.718141 | − | 1.24386i | −0.961736 | − | 0.273980i | \(-0.911660\pi\) |
0.243594 | − | 0.969877i | \(-0.421673\pi\) | |||||||
\(570\) | 2.22568 | − | 1.23785i | 0.0932235 | − | 0.0518479i | ||||
\(571\) | −6.12399 | + | 10.6071i | −0.256281 | + | 0.443892i | −0.965243 | − | 0.261355i | \(-0.915831\pi\) |
0.708962 | + | 0.705247i | \(0.249164\pi\) | |||||||
\(572\) | 2.83132 | − | 0.768406i | 0.118383 | − | 0.0321287i | ||||
\(573\) | −6.99388 | + | 11.6773i | −0.292174 | + | 0.487827i | ||||
\(574\) | 0.304400 | − | 0.175746i | 0.0127054 | − | 0.00733548i | ||||
\(575\) | 1.60656 | 0.0669984 | ||||||||
\(576\) | −6.71280 | + | 10.8110i | −0.279700 | + | 0.450457i | ||||
\(577\) | 15.7757i | 0.656752i | 0.944547 | + | 0.328376i | \(0.106501\pi\) | ||||
−0.944547 | + | 0.328376i | \(0.893499\pi\) | |||||||
\(578\) | −4.62479 | + | 2.67012i | −0.192366 | + | 0.111063i | ||||
\(579\) | −0.0373138 | + | 2.32716i | −0.00155071 | + | 0.0967136i | ||||
\(580\) | −0.946085 | − | 0.546222i | −0.0392840 | − | 0.0226807i | ||||
\(581\) | 5.92126 | − | 10.2559i | 0.245655 | − | 0.425488i | ||||
\(582\) | 10.1318 | + | 0.162453i | 0.419976 | + | 0.00673390i | ||||
\(583\) | −1.95627 | + | 1.12945i | −0.0810204 | + | 0.0467771i | ||||
\(584\) | 5.98698 | 0.247743 | ||||||||
\(585\) | −7.42469 | − | 7.86600i | −0.306973 | − | 0.325219i | ||||
\(586\) | 4.52192 | 0.186799 | ||||||||
\(587\) | 22.9033 | − | 13.2232i | 0.945319 | − | 0.545780i | 0.0536950 | − | 0.998557i | \(-0.482900\pi\) |
0.891624 | + | 0.452777i | \(0.149567\pi\) | |||||||
\(588\) | 10.4606 | − | 17.4655i | 0.431387 | − | 0.720265i | ||||
\(589\) | 14.3780 | − | 24.9034i | 0.592434 | − | 1.02613i | ||||
\(590\) | −1.44583 | − | 0.834751i | −0.0595240 | − | 0.0343662i | ||||
\(591\) | −20.8055 | + | 11.5714i | −0.855825 | + | 0.475982i | ||||
\(592\) | 0.570754 | − | 0.329525i | 0.0234578 | − | 0.0135434i | ||||
\(593\) | 25.5965i | 1.05112i | 0.850755 | + | 0.525562i | \(0.176145\pi\) | ||||
−0.850755 | + | 0.525562i | \(0.823855\pi\) | |||||||
\(594\) | 0.512125 | − | 0.796011i | 0.0210128 | − | 0.0326607i | ||||
\(595\) | −1.52347 | −0.0624564 | ||||||||
\(596\) | 24.2552 | − | 14.0037i | 0.993532 | − | 0.573616i | ||||
\(597\) | 11.9914 | + | 21.5607i | 0.490774 | + | 0.882421i | ||||
\(598\) | 2.29256 | − | 0.622189i | 0.0937497 | − | 0.0254432i | ||||
\(599\) | 11.9132 | − | 20.6343i | 0.486760 | − | 0.843094i | −0.513124 | − | 0.858315i | \(-0.671512\pi\) |
0.999884 | + | 0.0152210i | \(0.00484518\pi\) | |||||||
\(600\) | −2.33499 | − | 1.39849i | −0.0953255 | − | 0.0570932i | ||||
\(601\) | 17.8735 | + | 30.9578i | 0.729075 | + | 1.26279i | 0.957275 | + | 0.289180i | \(0.0933827\pi\) |
−0.228200 | + | 0.973614i | \(0.573284\pi\) | |||||||
\(602\) | −0.258593 | −0.0105395 | ||||||||
\(603\) | −36.6803 | + | 19.6372i | −1.49374 | + | 0.799687i | ||||
\(604\) | − | 14.5823i | − | 0.593346i | ||||||
\(605\) | −9.35541 | + | 5.40135i | −0.380352 | + | 0.219596i | ||||
\(606\) | −0.0495018 | + | 3.08730i | −0.00201087 | + | 0.125413i | ||||
\(607\) | −0.271769 | + | 0.470717i | −0.0110307 | + | 0.0191058i | −0.871488 | − | 0.490417i | \(-0.836845\pi\) |
0.860457 | + | 0.509522i | \(0.170178\pi\) | |||||||
\(608\) | −7.85387 | + | 13.6033i | −0.318516 | + | 0.551687i | ||||
\(609\) | −0.0126493 | + | 0.788905i | −0.000512576 | + | 0.0319681i | ||||
\(610\) | 0.772341 | + | 1.33773i | 0.0312712 | + | 0.0541632i | ||||
\(611\) | −10.5018 | − | 10.4346i | −0.424858 | − | 0.422137i | ||||
\(612\) | 5.17319 | + | 9.66301i | 0.209114 | + | 0.390604i | ||||
\(613\) | − | 13.0014i | − | 0.525121i | −0.964915 | − | 0.262561i | \(-0.915433\pi\) | ||
0.964915 | − | 0.262561i | \(-0.0845670\pi\) | |||||||
\(614\) | 1.19697 | + | 2.07322i | 0.0483059 | + | 0.0836683i | ||||
\(615\) | −0.998617 | + | 1.66734i | −0.0402681 | + | 0.0672336i | ||||
\(616\) | −0.461731 | − | 0.266581i | −0.0186037 | − | 0.0107408i | ||||
\(617\) | −26.3363 | − | 15.2053i | −1.06026 | − | 0.612140i | −0.134755 | − | 0.990879i | \(-0.543025\pi\) |
−0.925504 | + | 0.378739i | \(0.876358\pi\) | |||||||
\(618\) | −4.23388 | + | 2.35475i | −0.170312 | + | 0.0947219i | ||||
\(619\) | 12.0117 | − | 6.93494i | 0.482790 | − | 0.278739i | −0.238789 | − | 0.971072i | \(-0.576750\pi\) |
0.721578 | + | 0.692333i | \(0.243417\pi\) | |||||||
\(620\) | −14.6916 | −0.590028 | ||||||||
\(621\) | −4.51674 | + | 7.02050i | −0.181251 | + | 0.281723i | ||||
\(622\) | 5.26543i | 0.211124i | ||||||||
\(623\) | −4.69578 | − | 8.13333i | −0.188132 | − | 0.325855i | ||||
\(624\) | 18.1485 | + | 5.11313i | 0.726522 | + | 0.204689i | ||||
\(625\) | −0.500000 | + | 0.866025i | −0.0200000 | + | 0.0346410i | ||||
\(626\) | 0.0675416 | + | 0.0389952i | 0.00269951 | + | 0.00155856i | ||||
\(627\) | −1.41736 | + | 2.36649i | −0.0566040 | + | 0.0945087i | ||||
\(628\) | 12.7258 | + | 22.0417i | 0.507814 | + | 0.879559i | ||||
\(629\) | − | 0.435365i | − | 0.0173592i | ||||||
\(630\) | −0.0301279 | + | 0.939258i | −0.00120032 | + | 0.0374209i | ||||
\(631\) | − | 39.4067i | − | 1.56875i | −0.620284 | − | 0.784377i | \(-0.712983\pi\) | ||
0.620284 | − | 0.784377i | \(-0.287017\pi\) | |||||||
\(632\) | −13.2554 | + | 7.65301i | −0.527272 | + | 0.304421i | ||||
\(633\) | −8.19267 | − | 0.131361i | −0.325629 | − | 0.00522114i | ||||
\(634\) | 1.81400 | − | 3.14194i | 0.0720432 | − | 0.124782i | ||||
\(635\) | 6.19197 | + | 3.57494i | 0.245721 | + | 0.141867i | ||||
\(636\) | −16.1332 | − | 0.258679i | −0.639722 | − | 0.0102573i | ||||
\(637\) | −22.3660 | − | 5.91601i | −0.886173 | − | 0.234401i | ||||
\(638\) | −0.108634 | −0.00430085 | ||||||||
\(639\) | 30.9776 | + | 19.2348i | 1.22546 | + | 0.760917i | ||||
\(640\) | 10.5015 | 0.415108 | ||||||||
\(641\) | 7.56874 | + | 13.1094i | 0.298947 | + | 0.517792i | 0.975895 | − | 0.218239i | \(-0.0700312\pi\) |
−0.676948 | + | 0.736031i | \(0.736698\pi\) | |||||||
\(642\) | 8.08082 | + | 4.83983i | 0.318924 | + | 0.191013i | ||||
\(643\) | −10.8835 | − | 6.28358i | −0.429203 | − | 0.247800i | 0.269804 | − | 0.962915i | \(-0.413041\pi\) |
−0.699007 | + | 0.715115i | \(0.746374\pi\) | |||||||
\(644\) | 1.94678 | + | 1.12397i | 0.0767138 | + | 0.0442908i | ||||
\(645\) | 1.24959 | − | 0.694981i | 0.0492025 | − | 0.0273648i | ||||
\(646\) | 1.46631 | + | 2.53973i | 0.0576913 | + | 0.0999243i | ||||
\(647\) | 23.0846 | 0.907549 | 0.453774 | − | 0.891117i | \(-0.350077\pi\) | ||||
0.453774 | + | 0.891117i | \(0.350077\pi\) | |||||||
\(648\) | 12.6759 | − | 6.27186i | 0.497956 | − | 0.246382i | ||||
\(649\) | 1.80830 | 0.0709820 | ||||||||
\(650\) | −0.378104 | + | 1.42945i | −0.0148304 | + | 0.0560677i | ||||
\(651\) | 5.15742 | + | 9.27313i | 0.202135 | + | 0.363443i | ||||
\(652\) | 19.6907 | + | 11.3684i | 0.771147 | + | 0.445222i | ||||
\(653\) | 14.0585 | − | 24.3500i | 0.550151 | − | 0.952889i | −0.448113 | − | 0.893977i | \(-0.647904\pi\) |
0.998263 | − | 0.0589116i | \(-0.0187630\pi\) | |||||||
\(654\) | 1.84187 | − | 3.07527i | 0.0720227 | − | 0.120252i | ||||
\(655\) | 5.13292 | − | 2.96349i | 0.200560 | − | 0.115793i | ||||
\(656\) | − | 3.38784i | − | 0.132273i | ||||||
\(657\) | 9.71024 | + | 6.02934i | 0.378833 | + | 0.235227i | ||||
\(658\) | 1.28619i | 0.0501408i | ||||||||
\(659\) | −16.0785 | − | 27.8487i | −0.626328 | − | 1.08483i | −0.988282 | − | 0.152637i | \(-0.951224\pi\) |
0.361954 | − | 0.932196i | \(-0.382110\pi\) | |||||||
\(660\) | 1.40914 | + | 0.0225942i | 0.0548508 | + | 0.000879477i | ||||
\(661\) | −37.1818 | − | 21.4669i | −1.44621 | − | 0.834967i | −0.447953 | − | 0.894057i | \(-0.647847\pi\) |
−0.998253 | + | 0.0590895i | \(0.981180\pi\) | |||||||
\(662\) | 1.37628 | − | 2.38379i | 0.0534908 | − | 0.0926487i | ||||
\(663\) | 8.91960 | − | 8.69378i | 0.346409 | − | 0.337638i | ||||
\(664\) | 12.1814 | + | 21.0989i | 0.472731 | + | 0.818795i | ||||
\(665\) | − | 2.73872i | − | 0.106203i | ||||||
\(666\) | −0.268413 | − | 0.00860969i | −0.0104008 | − | 0.000333619i | ||||
\(667\) | 0.958107 | 0.0370981 | ||||||||
\(668\) | 1.56681 | − | 0.904600i | 0.0606218 | − | 0.0350000i | ||||
\(669\) | 32.8394 | + | 19.6684i | 1.26964 | + | 0.760426i | ||||
\(670\) | 4.92549 | + | 2.84373i | 0.190288 | + | 0.109863i | ||||
\(671\) | −1.44895 | − | 0.836551i | −0.0559360 | − | 0.0322947i | ||||
\(672\) | −2.81720 | − | 5.06538i | −0.108676 | − | 0.195401i | ||||
\(673\) | 3.65511 | + | 6.33084i | 0.140894 | + | 0.244036i | 0.927834 | − | 0.372994i | \(-0.121669\pi\) |
−0.786939 | + | 0.617030i | \(0.788336\pi\) | |||||||
\(674\) | − | 3.11325i | − | 0.119918i | ||||||
\(675\) | −2.37871 | − | 4.61971i | −0.0915568 | − | 0.177813i | ||||
\(676\) | −0.152986 | − | 23.8132i | −0.00588406 | − | 0.915893i | ||||
\(677\) | −17.2093 | − | 29.8074i | −0.661407 | − | 1.14559i | −0.980246 | − | 0.197782i | \(-0.936626\pi\) |
0.318839 | − | 0.947809i | \(-0.396707\pi\) | |||||||
\(678\) | 7.35833 | − | 4.09246i | 0.282595 | − | 0.157170i | ||||
\(679\) | 5.44845 | − | 9.43699i | 0.209092 | − | 0.362159i | ||||
\(680\) | 1.56707 | − | 2.71425i | 0.0600945 | − | 0.104087i | ||||
\(681\) | −26.9228 | − | 16.1248i | −1.03168 | − | 0.617904i | ||||
\(682\) | −1.26522 | + | 0.730473i | −0.0484476 | + | 0.0279713i | ||||
\(683\) | − | 29.3368i | − | 1.12254i | −0.827632 | − | 0.561272i | \(-0.810312\pi\) | ||
0.827632 | − | 0.561272i | \(-0.189688\pi\) | |||||||
\(684\) | −17.3710 | + | 9.29972i | −0.664196 | + | 0.355584i | ||||
\(685\) | −9.11336 | −0.348204 | ||||||||
\(686\) | 2.10135 | + | 3.63964i | 0.0802298 | + | 0.138962i | ||||
\(687\) | 0.756362 | − | 47.1724i | 0.0288570 | − | 1.79974i | ||||
\(688\) | −1.24622 | + | 2.15852i | −0.0475117 | + | 0.0822927i | ||||
\(689\) | 4.80256 | + | 17.6958i | 0.182963 | + | 0.674157i | ||||
\(690\) | 1.14100 | + | 0.0182948i | 0.0434372 | + | 0.000696472i | ||||
\(691\) | 19.4151 | − | 11.2093i | 0.738585 | − | 0.426422i | −0.0829697 | − | 0.996552i | \(-0.526440\pi\) |
0.821555 | + | 0.570130i | \(0.193107\pi\) | |||||||
\(692\) | 43.4828 | 1.65297 | ||||||||
\(693\) | −0.480412 | − | 0.897363i | −0.0182493 | − | 0.0340880i | ||||
\(694\) | 7.08791i | 0.269054i | ||||||||
\(695\) | −16.1156 | + | 9.30433i | −0.611298 | + | 0.352933i | ||||
\(696\) | −1.39252 | − | 0.834019i | −0.0527832 | − | 0.0316134i | ||||
\(697\) | −1.93816 | − | 1.11900i | −0.0734130 | − | 0.0423850i | ||||
\(698\) | −2.47384 | + | 4.28481i | −0.0936361 | + | 0.162182i | ||||
\(699\) | −6.05496 | − | 10.8869i | −0.229020 | − | 0.411782i | ||||
\(700\) | −1.21177 | + | 0.699613i | −0.0458004 | + | 0.0264429i | ||||
\(701\) | −44.3730 | −1.67595 | −0.837973 | − | 0.545711i | \(-0.816260\pi\) | ||||
−0.837973 | + | 0.545711i | \(0.816260\pi\) | |||||||
\(702\) | −5.18353 | − | 5.67107i | −0.195640 | − | 0.214041i | ||||
\(703\) | 0.782646 | 0.0295181 | ||||||||
\(704\) | −1.63174 | + | 0.942085i | −0.0614985 | + | 0.0355062i | ||||
\(705\) | −3.45669 | − | 6.21519i | −0.130186 | − | 0.234078i | ||||
\(706\) | −2.49143 | + | 4.31528i | −0.0937662 | + | 0.162408i | ||||
\(707\) | 2.87558 | + | 1.66022i | 0.108147 | + | 0.0624390i | ||||
\(708\) | 11.0811 | + | 6.63681i | 0.416454 | + | 0.249427i | ||||
\(709\) | 12.0856 | − | 6.97761i | 0.453883 | − | 0.262050i | −0.255585 | − | 0.966786i | \(-0.582268\pi\) |
0.709469 | + | 0.704737i | \(0.248935\pi\) | |||||||
\(710\) | − | 4.98449i | − | 0.187065i | ||||||
\(711\) | −29.2060 | − | 0.936819i | −1.09531 | − | 0.0351335i | ||||
\(712\) | 19.3207 | 0.724072 | ||||||||
\(713\) | 11.1587 | − | 6.44248i | 0.417897 | − | 0.241273i | ||||
\(714\) | −1.08199 | − | 0.0173486i | −0.0404924 | − | 0.000649256i | ||||
\(715\) | −0.419476 | − | 1.54563i | −0.0156875 | − | 0.0578033i | ||||
\(716\) | 13.2495 | − | 22.9488i | 0.495156 | − | 0.857636i | ||||
\(717\) | −0.659684 | + | 41.1428i | −0.0246363 | + | 1.53651i | ||||
\(718\) | 0.0527634 | + | 0.0913890i | 0.00196911 | + | 0.00341061i | ||||
\(719\) | 37.5186 | 1.39921 | 0.699604 | − | 0.714530i | \(-0.253360\pi\) | ||||
0.699604 | + | 0.714530i | \(0.253360\pi\) | |||||||
\(720\) | 7.69495 | + | 4.77799i | 0.286774 | + | 0.178065i | ||||
\(721\) | 5.20982i | 0.194024i | ||||||||
\(722\) | 2.18226 | − | 1.25993i | 0.0812154 | − | 0.0468897i | ||||
\(723\) | −12.9768 | − | 7.77218i | −0.482612 | − | 0.289050i | ||||
\(724\) | −11.6941 | + | 20.2548i | −0.434608 | + | 0.752764i | ||||
\(725\) | −0.298185 | + | 0.516472i | −0.0110743 | + | 0.0191813i | ||||
\(726\) | −6.70583 | + | 3.72956i | −0.248877 | + | 0.138417i | ||||
\(727\) | 13.2056 | + | 22.8728i | 0.489768 | + | 0.848303i | 0.999931 | − | 0.0117747i | \(-0.00374808\pi\) |
−0.510162 | + | 0.860078i | \(0.670415\pi\) | |||||||
\(728\) | −3.05035 | + | 3.07001i | −0.113054 | + | 0.113782i | ||||
\(729\) | 26.8752 | + | 2.59328i | 0.995377 | + | 0.0960475i | ||||
\(730\) | − | 1.56244i | − | 0.0578284i | ||||||
\(731\) | 0.823248 | + | 1.42591i | 0.0304489 | + | 0.0527391i | ||||
\(732\) | −5.80875 | − | 10.4442i | −0.214698 | − | 0.386030i | ||||
\(733\) | −2.11871 | − | 1.22324i | −0.0782565 | − | 0.0451814i | 0.460361 | − | 0.887732i | \(-0.347720\pi\) |
−0.538618 | + | 0.842550i | \(0.681053\pi\) | |||||||
\(734\) | −5.23944 | − | 3.02499i | −0.193391 | − | 0.111654i | ||||
\(735\) | −9.53449 | − | 5.71048i | −0.351685 | − | 0.210634i | ||||
\(736\) | −6.09537 | + | 3.51916i | −0.224678 | + | 0.129718i | ||||
\(737\) | −6.16030 | −0.226918 | ||||||||
\(738\) | −0.728216 | + | 1.17279i | −0.0268060 | + | 0.0431711i | ||||
\(739\) | 43.2972i | 1.59271i | 0.604828 | + | 0.796356i | \(0.293242\pi\) | ||||
−0.604828 | + | 0.796356i | \(0.706758\pi\) | |||||||
\(740\) | −0.199929 | − | 0.346288i | −0.00734955 | − | 0.0127298i | ||||
\(741\) | 15.6286 | + | 16.0346i | 0.574131 | + | 0.589044i | ||||
\(742\) | 0.796505 | − | 1.37959i | 0.0292406 | − | 0.0506463i | ||||
\(743\) | −8.86986 | − | 5.12101i | −0.325403 | − | 0.187872i | 0.328395 | − | 0.944540i | \(-0.393492\pi\) |
−0.653799 | + | 0.756669i | \(0.726826\pi\) | |||||||
\(744\) | −21.8262 | − | 0.349961i | −0.800187 | − | 0.0128302i | ||||
\(745\) | −7.64470 | − | 13.2410i | −0.280080 | − | 0.485113i | ||||
\(746\) | − | 10.8085i | − | 0.395729i | ||||||
\(747\) | −1.49115 | + | 46.4877i | −0.0545584 | + | 1.70090i | ||||
\(748\) | 1.62286i | 0.0593376i | ||||||||
\(749\) | 8.77225 | − | 5.06466i | 0.320531 | − | 0.185059i | ||||
\(750\) | −0.364968 | + | 0.609367i | −0.0133267 | + | 0.0222510i | ||||
\(751\) | −0.679184 | + | 1.17638i | −0.0247838 | + | 0.0429267i | −0.878151 | − | 0.478383i | \(-0.841223\pi\) |
0.853368 | + | 0.521310i | \(0.174556\pi\) | |||||||
\(752\) | 10.7360 | + | 6.19844i | 0.391502 | + | 0.226034i | ||||
\(753\) | −1.99729 | − | 3.59116i | −0.0727852 | − | 0.130869i | ||||
\(754\) | −0.225490 | + | 0.852483i | −0.00821185 | + | 0.0310456i | ||||
\(755\) | −7.96054 | −0.289714 | ||||||||
\(756\) | 0.349565 | − | 7.26218i | 0.0127136 | − | 0.264123i | ||||
\(757\) | −7.30237 | −0.265409 | −0.132705 | − | 0.991156i | \(-0.542366\pi\) | ||||
−0.132705 | + | 0.991156i | \(0.542366\pi\) | |||||||
\(758\) | −4.18896 | − | 7.25549i | −0.152150 | − | 0.263531i | ||||
\(759\) | −1.08019 | + | 0.600769i | −0.0392086 | + | 0.0218065i | ||||
\(760\) | 4.87935 | + | 2.81709i | 0.176993 | + | 0.102187i | ||||
\(761\) | −27.6772 | − | 15.9794i | −1.00330 | − | 0.579254i | −0.0940752 | − | 0.995565i | \(-0.529989\pi\) |
−0.909222 | + | 0.416311i | \(0.863323\pi\) | |||||||
\(762\) | 4.35690 | + | 2.60947i | 0.157834 | + | 0.0945312i | ||||
\(763\) | −1.92743 | − | 3.33840i | −0.0697775 | − | 0.120858i | ||||
\(764\) | −14.3956 | −0.520815 | ||||||||
\(765\) | 5.27508 | − | 2.82406i | 0.190721 | − | 0.102104i | ||||
\(766\) | −15.4724 | −0.559039 | ||||||||
\(767\) | 3.75346 | − | 14.1903i | 0.135530 | − | 0.512381i | ||||
\(768\) | −7.23398 | − | 0.115990i | −0.261034 | − | 0.00418542i | ||||
\(769\) | 10.1273 | + | 5.84703i | 0.365202 | + | 0.210849i | 0.671360 | − | 0.741131i | \(-0.265710\pi\) |
−0.306159 | + | 0.951981i | \(0.599044\pi\) | |||||||
\(770\) | −0.0695702 | + | 0.120499i | −0.00250714 | + | 0.00434249i | ||||
\(771\) | 3.37282 | + | 0.0540797i | 0.121469 | + | 0.00194763i | ||||
\(772\) | −2.13175 | + | 1.23077i | −0.0767234 | + | 0.0442963i | ||||
\(773\) | 30.4439i | 1.09499i | 0.836809 | + | 0.547495i | \(0.184418\pi\) | ||||
−0.836809 | + | 0.547495i | \(0.815582\pi\) | |||||||
\(774\) | 0.895386 | − | 0.479354i | 0.0321840 | − | 0.0172300i | ||||
\(775\) | 8.02020i | 0.288094i | ||||||||
\(776\) | 11.2087 | + | 19.4141i | 0.402371 | + | 0.696926i | ||||
\(777\) | −0.148388 | + | 0.247756i | −0.00532339 | + | 0.00888818i | ||||
\(778\) | −11.5817 | − | 6.68670i | −0.415224 | − | 0.239730i | ||||
\(779\) | 2.01159 | − | 3.48418i | 0.0720728 | − | 0.124834i | ||||
\(780\) | 3.10224 | − | 11.0111i | 0.111078 | − | 0.394259i | ||||
\(781\) | 2.69944 | + | 4.67557i | 0.0965937 | + | 0.167305i | ||||
\(782\) | 1.31405i | 0.0469904i | ||||||||
\(783\) | −1.41859 | − | 2.75506i | −0.0506964 | − | 0.0984577i | ||||
\(784\) | 19.3730 | 0.691892 | ||||||||
\(785\) | 12.0326 | − | 6.94705i | 0.429464 | − | 0.247951i | ||||
\(786\) | 3.67920 | − | 2.04625i | 0.131233 | − | 0.0729875i | ||||
\(787\) | 23.0594 | + | 13.3134i | 0.821979 | + | 0.474570i | 0.851099 | − | 0.525006i | \(-0.175937\pi\) |
−0.0291191 | + | 0.999576i | \(0.509270\pi\) | |||||||
\(788\) | −21.8050 | − | 12.5891i | −0.776770 | − | 0.448468i | ||||
\(789\) | 9.18773 | − | 15.3403i | 0.327092 | − | 0.546128i | ||||
\(790\) | 1.99722 | + | 3.45930i | 0.0710581 | + | 0.123076i | ||||
\(791\) | − | 9.05447i | − | 0.321940i | ||||||
\(792\) | 2.09292 | + | 0.0671330i | 0.0743687 | + | 0.00238547i | ||||
\(793\) | −9.57223 | + | 9.63393i | −0.339920 | + | 0.342111i | ||||
\(794\) | −3.91031 | − | 6.77286i | −0.138772 | − | 0.240360i | ||||
\(795\) | −0.141214 | + | 8.80717i | −0.00500835 | + | 0.312358i | ||||
\(796\) | −13.0461 | + | 22.5964i | −0.462405 | + | 0.800909i | ||||
\(797\) | −12.0971 | + | 20.9528i | −0.428501 | + | 0.742186i | −0.996740 | − | 0.0806776i | \(-0.974292\pi\) |
0.568239 | + | 0.822864i | \(0.307625\pi\) | |||||||
\(798\) | 0.0311872 | − | 1.94507i | 0.00110402 | − | 0.0688546i | ||||
\(799\) | 7.09216 | − | 4.09466i | 0.250903 | − | 0.144859i | ||||
\(800\) | − | 4.38098i | − | 0.154891i | ||||||
\(801\) | 31.3360 | + | 19.4573i | 1.10720 | + | 0.687491i | ||||
\(802\) | 10.1406 | 0.358077 | ||||||||
\(803\) | 0.846167 | + | 1.46560i | 0.0298606 | + | 0.0517200i | ||||
\(804\) | −37.7499 | − | 22.6095i | −1.33134 | − | 0.797375i | ||||
\(805\) | 0.613582 | − | 1.06275i | 0.0216259 | − | 0.0374572i | ||||
\(806\) | 3.10605 | + | 11.4448i | 0.109406 | + | 0.403125i | ||||
\(807\) | −25.2508 | − | 45.4013i | −0.888869 | − | 1.59820i | ||||
\(808\) | −5.91575 | + | 3.41546i | −0.208116 | + | 0.120156i | ||||
\(809\) | 19.8529 | 0.697990 | 0.348995 | − | 0.937125i | \(-0.386523\pi\) | ||||
0.348995 | + | 0.937125i | \(0.386523\pi\) | |||||||
\(810\) | −1.63678 | − | 3.30806i | −0.0575107 | − | 0.116233i | ||||
\(811\) | 54.3008i | 1.90676i | 0.301772 | + | 0.953380i | \(0.402422\pi\) | ||||
−0.301772 | + | 0.953380i | \(0.597578\pi\) | |||||||
\(812\) | −0.722661 | + | 0.417228i | −0.0253604 | + | 0.0146418i | ||||
\(813\) | −14.7058 | + | 8.17890i | −0.515755 | + | 0.286846i | ||||
\(814\) | −0.0344352 | − | 0.0198812i | −0.00120695 | − | 0.000696835i | ||||
\(815\) | 6.20607 | − | 10.7492i | 0.217389 | − | 0.376529i | ||||
\(816\) | −5.35917 | + | 8.94793i | −0.187609 | + | 0.313240i | ||||
\(817\) | −2.56332 | + | 1.47993i | −0.0896793 | + | 0.0517764i | ||||
\(818\) | −2.35640 | −0.0823897 | ||||||||
\(819\) | −8.03907 | + | 1.90730i | −0.280908 | + | 0.0666463i | ||||
\(820\) | −2.05547 | −0.0717801 | ||||||||
\(821\) | −46.2258 | + | 26.6885i | −1.61329 | + | 0.931433i | −0.624689 | + | 0.780874i | \(0.714774\pi\) |
−0.988601 | + | 0.150560i | \(0.951892\pi\) | |||||||
\(822\) | −6.47241 | − | 0.103779i | −0.225751 | − | 0.00361970i | ||||
\(823\) | −22.5541 | + | 39.0649i | −0.786187 | + | 1.36172i | 0.142100 | + | 0.989852i | \(0.454615\pi\) |
−0.928287 | + | 0.371864i | \(0.878719\pi\) | |||||||
\(824\) | −9.28192 | − | 5.35892i | −0.323351 | − | 0.186687i | ||||
\(825\) | 0.0123343 | − | 0.769256i | 0.000429424 | − | 0.0267821i | ||||
\(826\) | −1.10439 | + | 0.637619i | −0.0384266 | + | 0.0221856i | ||||
\(827\) | − | 18.3981i | − | 0.639763i | −0.947458 | − | 0.319882i | \(-0.896357\pi\) | ||
0.947458 | − | 0.319882i | \(-0.103643\pi\) | |||||||
\(828\) | −8.82429 | − | 0.283050i | −0.306665 | − | 0.00983667i | ||||
\(829\) | −36.6699 | −1.27360 | −0.636799 | − | 0.771030i | \(-0.719742\pi\) | ||||
−0.636799 | + | 0.771030i | \(0.719742\pi\) | |||||||
\(830\) | 5.50622 | − | 3.17902i | 0.191124 | − | 0.110345i | ||||
\(831\) | 3.14038 | − | 5.24333i | 0.108939 | − | 0.181889i | ||||
\(832\) | 4.00585 | + | 14.7602i | 0.138878 | + | 0.511719i | ||||
\(833\) | 6.39885 | − | 11.0831i | 0.221707 | − | 0.384008i | ||||
\(834\) | −11.5514 | + | 6.42452i | −0.399993 | + | 0.222463i | ||||
\(835\) | −0.493825 | − | 0.855330i | −0.0170895 | − | 0.0295999i | ||||
\(836\) | −2.91738 | −0.100900 | ||||||||
\(837\) | −35.0473 | − | 22.5482i | −1.21141 | − | 0.779380i | ||||
\(838\) | − | 3.08382i | − | 0.106529i | ||||||
\(839\) | 25.5676 | − | 14.7615i | 0.882692 | − | 0.509622i | 0.0111469 | − | 0.999938i | \(-0.496452\pi\) |
0.871545 | + | 0.490315i | \(0.163118\pi\) | |||||||
\(840\) | −1.81690 | + | 1.01050i | −0.0626888 | + | 0.0348655i | ||||
\(841\) | 14.3222 | − | 24.8067i | 0.493868 | − | 0.855404i | ||||
\(842\) | −3.87805 | + | 6.71697i | −0.133646 | + | 0.231482i | ||||
\(843\) | −17.6148 | − | 10.5500i | −0.606686 | − | 0.363361i | ||||
\(844\) | −4.33286 | − | 7.50473i | −0.149143 | − | 0.258323i | ||||
\(845\) | −12.9997 | + | 0.0835155i | −0.447204 | + | 0.00287302i | ||||
\(846\) | −2.38420 | − | 4.45346i | −0.0819706 | − | 0.153113i | ||||
\(847\) | 8.25157i | 0.283527i | ||||||||
\(848\) | −7.67709 | − | 13.2971i | −0.263632 | − | 0.456625i | ||||
\(849\) | −9.46279 | − | 0.151726i | −0.324762 | − | 0.00520724i | ||||
\(850\) | −0.708345 | − | 0.408963i | −0.0242960 | − | 0.0140273i | ||||
\(851\) | 0.303705 | + | 0.175344i | 0.0104109 | + | 0.00601072i | ||||
\(852\) | −0.618256 | + | 38.5591i | −0.0211811 | + | 1.32101i | ||||
\(853\) | 41.1747 | − | 23.7722i | 1.40979 | − | 0.813945i | 0.414425 | − | 0.910083i | \(-0.363983\pi\) |
0.995368 | + | 0.0961386i | \(0.0306492\pi\) | |||||||
\(854\) | 1.17989 | 0.0403752 | ||||||||
\(855\) | 5.07675 | + | 9.48289i | 0.173621 | + | 0.324308i | ||||
\(856\) | 20.8384i | 0.712242i | ||||||||
\(857\) | 19.5794 | + | 33.9125i | 0.668820 | + | 1.15843i | 0.978234 | + | 0.207503i | \(0.0665336\pi\) |
−0.309415 | + | 0.950927i | \(0.600133\pi\) | |||||||
\(858\) | −0.280316 | − | 1.10250i | −0.00956983 | − | 0.0376388i | ||||
\(859\) | −10.9226 | + | 18.9185i | −0.372675 | + | 0.645492i | −0.989976 | − | 0.141235i | \(-0.954893\pi\) |
0.617301 | + | 0.786727i | \(0.288226\pi\) | |||||||
\(860\) | 1.30962 | + | 0.756107i | 0.0446575 | + | 0.0257830i | ||||
\(861\) | 0.721564 | + | 1.29739i | 0.0245908 | + | 0.0442148i | ||||
\(862\) | −1.46072 | − | 2.53005i | −0.0497525 | − | 0.0861738i | ||||
\(863\) | − | 23.4531i | − | 0.798354i | −0.916874 | − | 0.399177i | \(-0.869296\pi\) | ||
0.916874 | − | 0.399177i | \(-0.130704\pi\) | |||||||
\(864\) | 19.1443 | + | 12.3168i | 0.651304 | + | 0.419026i | ||||
\(865\) | − | 23.7374i | − | 0.807097i | ||||||
\(866\) | −1.82595 | + | 1.05421i | −0.0620484 | + | 0.0358237i | ||||
\(867\) | −10.9628 | − | 19.7113i | −0.372316 | − | 0.669432i | ||||
\(868\) | −5.61103 | + | 9.71859i | −0.190451 | + | 0.329871i | ||||
\(869\) | −3.74689 | − | 2.16327i | −0.127105 | − | 0.0733838i | ||||
\(870\) | −0.217656 | + | 0.363409i | −0.00737922 | + | 0.0123207i | ||||
\(871\) | −12.7868 | + | 48.3418i | −0.433266 | + | 1.63800i | ||||
\(872\) | 7.93034 | 0.268555 | ||||||||
\(873\) | −1.37208 | + | 42.7757i | −0.0464380 | + | 1.44774i | ||||
\(874\) | −2.36224 | −0.0799040 | ||||||||
\(875\) | 0.381922 | + | 0.661508i | 0.0129113 | + | 0.0223630i | ||||
\(876\) | −0.193798 | + | 12.0867i | −0.00654784 | + | 0.408372i | ||||
\(877\) | −12.7378 | − | 7.35420i | −0.430126 | − | 0.248334i | 0.269274 | − | 0.963064i | \(-0.413216\pi\) |
−0.699401 | + | 0.714730i | \(0.746550\pi\) | |||||||
\(878\) | −4.50821 | − | 2.60281i | −0.152145 | − | 0.0878407i | ||||
\(879\) | −0.306187 | + | 19.0961i | −0.0103274 | + | 0.644095i | ||||
\(880\) | 0.670551 | + | 1.16143i | 0.0226043 | + | 0.0391517i | ||||
\(881\) | 4.05323 | 0.136557 | 0.0682784 | − | 0.997666i | \(-0.478249\pi\) | ||||
0.0682784 | + | 0.997666i | \(0.478249\pi\) | |||||||
\(882\) | −6.70648 | − | 4.16422i | −0.225819 | − | 0.140217i | ||||
\(883\) | −44.5006 | −1.49756 | −0.748782 | − | 0.662816i | \(-0.769361\pi\) | ||||
−0.748782 | + | 0.662816i | \(0.769361\pi\) | |||||||
\(884\) | 12.7351 | + | 3.36855i | 0.428327 | + | 0.113296i | ||||
\(885\) | 3.62306 | − | 6.04924i | 0.121788 | − | 0.203343i | ||||
\(886\) | 11.2083 | + | 6.47114i | 0.376552 | + | 0.217402i | ||||
\(887\) | −16.2864 | + | 28.2089i | −0.546844 | + | 0.947162i | 0.451644 | + | 0.892198i | \(0.350838\pi\) |
−0.998488 | + | 0.0549638i | \(0.982496\pi\) | |||||||
\(888\) | −0.288771 | − | 0.519216i | −0.00969053 | − | 0.0174238i | ||||
\(889\) | 4.72970 | − | 2.73069i | 0.158629 | − | 0.0915844i | ||||
\(890\) | − | 5.04216i | − | 0.169013i | ||||||
\(891\) | 3.32688 | + | 2.21661i | 0.111455 | + | 0.0742592i | ||||
\(892\) | 40.4839i | 1.35550i | ||||||||
\(893\) | 7.36088 | + | 12.7494i | 0.246323 | + | 0.426643i | ||||
\(894\) | −5.27857 | − | 9.49098i | −0.176542 | − | 0.317426i | ||||
\(895\) | −12.5278 | − | 7.23295i | −0.418759 | − | 0.241771i | ||||
\(896\) | 4.01075 | − | 6.94682i | 0.133990 | − | 0.232077i | ||||
\(897\) | 2.47228 | + | 9.72362i | 0.0825469 | + | 0.324662i | ||||
\(898\) | −1.92798 | − | 3.33937i | −0.0643377 | − | 0.111436i | ||||
\(899\) | 4.78301i | 0.159522i | ||||||||
\(900\) | 2.89890 | − | 4.66868i | 0.0966301 | − | 0.155623i | ||||
\(901\) | −10.1429 | −0.337909 | ||||||||
\(902\) | −0.177014 | + | 0.102199i | −0.00589392 | + | 0.00340286i | ||||
\(903\) | 0.0175098 | − | 1.09204i | 0.000582689 | − | 0.0363408i | ||||
\(904\) | 16.1316 | + | 9.31359i | 0.536530 | + | 0.309765i | ||||
\(905\) | 11.0572 | + | 6.38387i | 0.367553 | + | 0.212207i | ||||
\(906\) | −5.65367 | − | 0.0906510i | −0.187831 | − | 0.00301168i | ||||
\(907\) | 24.1319 | + | 41.7976i | 0.801285 | + | 1.38787i | 0.918770 | + | 0.394792i | \(0.129183\pi\) |
−0.117485 | + | 0.993075i | \(0.537483\pi\) | |||||||
\(908\) | − | 33.1900i | − | 1.10145i | ||||||
\(909\) | −13.0343 | − | 0.418093i | −0.432322 | − | 0.0138673i | ||||
\(910\) | 0.801188 | + | 0.796057i | 0.0265591 | + | 0.0263890i | ||||
\(911\) | 27.5211 | + | 47.6679i | 0.911814 | + | 1.57931i | 0.811501 | + | 0.584351i | \(0.198651\pi\) |
0.100313 | + | 0.994956i | \(0.468016\pi\) | |||||||
\(912\) | −16.0855 | − | 9.63406i | −0.532644 | − | 0.319016i | ||||
\(913\) | −3.44331 | + | 5.96399i | −0.113957 | + | 0.197379i | ||||
\(914\) | 4.93807 | − | 8.55299i | 0.163337 | − | 0.282908i | ||||
\(915\) | −5.70156 | + | 3.17102i | −0.188488 | + | 0.104831i | ||||
\(916\) | 43.2113 | − | 24.9480i | 1.42774 | − | 0.824306i | ||||
\(917\) | − | 4.52729i | − | 0.149504i | ||||||
\(918\) | 3.77858 | − | 1.94561i | 0.124712 | − | 0.0642148i | ||||
\(919\) | −22.7248 | −0.749623 | −0.374811 | − | 0.927101i | \(-0.622293\pi\) | ||||
−0.374811 | + | 0.927101i | \(0.622293\pi\) | |||||||
\(920\) | 1.26228 | + | 2.18634i | 0.0416162 | + | 0.0720814i | ||||
\(921\) | −8.83627 | + | 4.91445i | −0.291165 | + | 0.161937i | ||||
\(922\) | −6.95047 | + | 12.0386i | −0.228902 | + | 0.396469i | ||||
\(923\) | 42.2939 | − | 11.4783i | 1.39212 | − | 0.377814i | ||||
\(924\) | 0.553128 | − | 0.923529i | 0.0181966 | − | 0.0303819i | ||||
\(925\) | −0.189040 | + | 0.109142i | −0.00621559 | + | 0.00358857i | ||||
\(926\) | −13.2115 | −0.434158 | ||||||||
\(927\) | −9.65744 | − | 18.0392i | −0.317192 | − | 0.592484i | ||||
\(928\) | − | 2.61268i | − | 0.0857655i | ||||||
\(929\) | −5.89962 | + | 3.40614i | −0.193560 | + | 0.111752i | −0.593648 | − | 0.804725i | \(-0.702313\pi\) |
0.400088 | + | 0.916477i | \(0.368980\pi\) | |||||||
\(930\) | −0.0913302 | + | 5.69603i | −0.00299484 | + | 0.186780i | ||||
\(931\) | 19.9239 | + | 11.5031i | 0.652980 | + | 0.376998i | ||||
\(932\) | 6.58752 | − | 11.4099i | 0.215781 | − | 0.373744i | ||||
\(933\) | −22.2359 | − | 0.356531i | −0.727972 | − | 0.0116723i | ||||
\(934\) | 8.13854 | − | 4.69879i | 0.266301 | − | 0.153749i | ||||
\(935\) | 0.885926 | 0.0289729 | ||||||||
\(936\) | 4.87106 | − | 16.2844i | 0.159215 | − | 0.532273i | ||||
\(937\) | −57.0664 | −1.86428 | −0.932140 | − | 0.362099i | \(-0.882060\pi\) | ||||
−0.932140 | + | 0.362099i | \(0.882060\pi\) | |||||||
\(938\) | 3.76230 | − | 2.17216i | 0.122843 | − | 0.0709237i | ||||
\(939\) | −0.169250 | + | 0.282588i | −0.00552328 | + | 0.00922192i | ||||
\(940\) | 3.76072 | − | 6.51375i | 0.122661 | − | 0.212455i | ||||
\(941\) | 36.0727 | + | 20.8266i | 1.17594 | + | 0.678928i | 0.955071 | − | 0.296376i | \(-0.0957783\pi\) |
0.220866 | + | 0.975304i | \(0.429112\pi\) | |||||||
\(942\) | 8.62484 | − | 4.79685i | 0.281012 | − | 0.156290i | ||||
\(943\) | 1.56119 | − | 0.901355i | 0.0508394 | − | 0.0293522i | ||||
\(944\) | 12.2913i | 0.400049i | ||||||||
\(945\) | −3.96446 | − | 0.190829i | −0.128964 | − | 0.00620767i | ||||
\(946\) | 0.150376 | 0.00488915 | ||||||||
\(947\) | −0.504502 | + | 0.291274i | −0.0163941 | + | 0.00946515i | −0.508175 | − | 0.861254i | \(-0.669680\pi\) |
0.491781 | + | 0.870719i | \(0.336346\pi\) | |||||||
\(948\) | −15.0211 | − | 27.0082i | −0.487862 | − | 0.877184i | ||||
\(949\) | 13.2574 | − | 3.59800i | 0.430354 | − | 0.116796i | ||||
\(950\) | 0.735183 | − | 1.27338i | 0.0238525 | − | 0.0413137i | ||||
\(951\) | 13.1456 | + | 7.87329i | 0.426276 | + | 0.255309i | ||||
\(952\) | −1.19700 | − | 2.07326i | −0.0387949 | − | 0.0671948i | ||||
\(953\) | 8.69087 | 0.281525 | 0.140763 | − | 0.990043i | \(-0.455045\pi\) | ||||
0.140763 | + | 0.990043i | \(0.455045\pi\) | |||||||
\(954\) | −0.200584 | + | 6.25335i | −0.00649414 | + | 0.202460i | ||||
\(955\) | 7.85863i | 0.254299i | ||||||||
\(956\) | −37.6880 | + | 21.7592i | −1.21892 | + | 0.703742i | ||||
\(957\) | 0.00735579 | − | 0.458762i | 0.000237779 | − | 0.0148297i | ||||
\(958\) | 5.73572 | − | 9.93456i | 0.185313 | − | 0.320971i | ||||
\(959\) | −3.48059 | + | 6.02856i | −0.112394 | + | 0.194672i | ||||
\(960\) | −0.117788 | + | 7.34613i | −0.00380159 | + | 0.237095i | ||||
\(961\) | 16.6618 | + | 28.8590i | 0.537476 | + | 0.930936i | ||||
\(962\) | −0.227490 | + | 0.228956i | −0.00733458 | + | 0.00738185i | ||||
\(963\) | −20.9858 | + | 33.7976i | −0.676259 | + | 1.08911i | ||||
\(964\) | − | 15.9976i | − | 0.515248i | ||||||
\(965\) | 0.671881 | + | 1.16373i | 0.0216286 | + | 0.0374618i | ||||
\(966\) | 0.447875 | − | 0.747794i | 0.0144101 | − | 0.0240599i | ||||
\(967\) | −2.60064 | − | 1.50148i | −0.0836311 | − | 0.0482844i | 0.457601 | − | 0.889158i | \(-0.348709\pi\) |
−0.541232 | + | 0.840873i | \(0.682042\pi\) | |||||||
\(968\) | −14.7011 | − | 8.48771i | −0.472513 | − | 0.272805i | ||||
\(969\) | −10.8246 | + | 6.02028i | −0.347736 | + | 0.193399i | ||||
\(970\) | 5.06655 | − | 2.92517i | 0.162677 | − | 0.0939217i | ||||
\(971\) | −4.32102 | −0.138668 | −0.0693341 | − | 0.997593i | \(-0.522087\pi\) | ||||
−0.0693341 | + | 0.997593i | \(0.522087\pi\) | |||||||
\(972\) | 12.2515 | + | 25.7935i | 0.392968 | + | 0.827327i | ||||
\(973\) | 14.2141i | 0.455683i | ||||||||
\(974\) | −3.63727 | − | 6.29994i | −0.116546 | − | 0.201863i | ||||
\(975\) | −6.01099 | − | 1.69353i | −0.192506 | − | 0.0542362i | ||||
\(976\) | 5.68619 | − | 9.84877i | 0.182010 | − | 0.315251i | ||||
\(977\) | −34.0847 | − | 19.6788i | −1.09046 | − | 0.629580i | −0.156765 | − | 0.987636i | \(-0.550106\pi\) |
−0.933700 | + | 0.358056i | \(0.883440\pi\) | |||||||
\(978\) | 4.53003 | − | 7.56356i | 0.144854 | − | 0.241856i | ||||
\(979\) | 2.73067 | + | 4.72967i | 0.0872727 | + | 0.151161i | ||||
\(980\) | − | 11.7540i | − | 0.375467i | ||||||
\(981\) | 12.8622 | + | 7.98645i | 0.410657 | + | 0.254988i | ||||
\(982\) | − | 9.10618i | − | 0.290590i | ||||||
\(983\) | 14.9197 | − | 8.61391i | 0.475866 | − | 0.274741i | −0.242826 | − | 0.970070i | \(-0.578074\pi\) |
0.718692 | + | 0.695329i | \(0.244741\pi\) | |||||||
\(984\) | −3.05366 | − | 0.0489624i | −0.0973471 | − | 0.00156086i | ||||
\(985\) | −6.87245 | + | 11.9034i | −0.218974 | + | 0.379275i | ||||
\(986\) | −0.422436 | − | 0.243893i | −0.0134531 | − | 0.00776715i | ||||
\(987\) | −5.43158 | − | 0.0870900i | −0.172889 | − | 0.00277210i | ||||
\(988\) | −6.05556 | + | 22.8936i | −0.192653 | + | 0.728341i | ||||
\(989\) | −1.32626 | −0.0421726 | ||||||||
\(990\) | 0.0175199 | − | 0.546194i | 0.000556818 | − | 0.0173592i | ||||
\(991\) | 39.3598 | 1.25030 | 0.625152 | − | 0.780503i | \(-0.285037\pi\) | ||||
0.625152 | + | 0.780503i | \(0.285037\pi\) | |||||||
\(992\) | −17.5681 | − | 30.4289i | −0.557789 | − | 0.966119i | ||||
\(993\) | 9.97358 | + | 5.97346i | 0.316502 | + | 0.189562i | ||||
\(994\) | −3.29728 | − | 1.90368i | −0.104583 | − | 0.0603812i | ||||
\(995\) | 12.3355 | + | 7.12190i | 0.391061 | + | 0.225779i | ||||
\(996\) | −42.9894 | + | 23.9093i | −1.36217 | + | 0.757595i | ||||
\(997\) | 14.3605 | + | 24.8731i | 0.454802 | + | 0.787740i | 0.998677 | − | 0.0514265i | \(-0.0163768\pi\) |
−0.543875 | + | 0.839166i | \(0.683043\pi\) | |||||||
\(998\) | 0.865048 | 0.0273826 | ||||||||
\(999\) | 0.0545335 | − | 1.13293i | 0.00172536 | − | 0.0358442i |
(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 | 585.2.bt.b.571.31 | yes | 108 | |
9.7 | even | 3 | inner | 585.2.bt.b.376.24 | ✓ | 108 | |
13.12 | even | 2 | inner | 585.2.bt.b.571.24 | yes | 108 | |
117.25 | even | 6 | inner | 585.2.bt.b.376.31 | yes | 108 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
585.2.bt.b.376.24 | ✓ | 108 | 9.7 | even | 3 | inner | |
585.2.bt.b.376.31 | yes | 108 | 117.25 | even | 6 | inner | |
585.2.bt.b.571.24 | yes | 108 | 13.12 | even | 2 | inner | |
585.2.bt.b.571.31 | yes | 108 | 1.1 | even | 1 | trivial |