Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [225,2,Mod(4,225)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(225, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([10, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("225.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 225 = 3^{2} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 225.u (of order \(30\), degree \(8\), 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: | \(1.79663404548\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 4.20 | ||
Character | \(\chi\) | \(=\) | 225.4 |
Dual form | 225.2.u.a.169.20 |
$q$-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 \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{1}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.250369 | + | 1.17789i | 0.177038 | + | 0.832897i | 0.973586 | + | 0.228322i | \(0.0733238\pi\) |
−0.796548 | + | 0.604575i | \(0.793343\pi\) | |||||||
\(3\) | −1.73132 | + | 0.0503723i | −0.999577 | + | 0.0290825i | ||||
\(4\) | 0.502342 | − | 0.223657i | 0.251171 | − | 0.111828i | ||||
\(5\) | −1.04324 | − | 1.97779i | −0.466553 | − | 0.884493i | ||||
\(6\) | −0.492802 | − | 2.02670i | −0.201185 | − | 0.827396i | ||||
\(7\) | 2.32094 | − | 1.33999i | 0.877233 | − | 0.506470i | 0.00748764 | − | 0.999972i | \(-0.497617\pi\) |
0.869745 | + | 0.493501i | \(0.164283\pi\) | |||||||
\(8\) | 1.80485 | + | 2.48416i | 0.638110 | + | 0.878283i | ||||
\(9\) | 2.99493 | − | 0.174421i | 0.998308 | − | 0.0581403i | ||||
\(10\) | 2.06843 | − | 1.72401i | 0.654094 | − | 0.545179i | ||||
\(11\) | 1.37561 | − | 0.292396i | 0.414763 | − | 0.0881606i | 0.00419636 | − | 0.999991i | \(-0.498664\pi\) |
0.410567 | + | 0.911831i | \(0.365331\pi\) | |||||||
\(12\) | −0.858447 | + | 0.412525i | −0.247812 | + | 0.119086i | ||||
\(13\) | −0.0338103 | + | 0.159065i | −0.00937729 | + | 0.0441167i | −0.982587 | − | 0.185800i | \(-0.940512\pi\) |
0.973210 | + | 0.229917i | \(0.0738455\pi\) | |||||||
\(14\) | 2.15946 | + | 2.39833i | 0.577141 | + | 0.640980i | ||||
\(15\) | 1.90581 | + | 3.37163i | 0.492079 | + | 0.870550i | ||||
\(16\) | −1.73831 | + | 1.93059i | −0.434578 | + | 0.482648i | ||||
\(17\) | 0.113531 | + | 0.156262i | 0.0275354 | + | 0.0378992i | 0.822563 | − | 0.568674i | \(-0.192544\pi\) |
−0.795027 | + | 0.606574i | \(0.792544\pi\) | |||||||
\(18\) | 0.955286 | + | 3.48403i | 0.225163 | + | 0.821195i | ||||
\(19\) | 6.07397 | − | 4.41300i | 1.39346 | − | 1.01241i | 0.397989 | − | 0.917390i | \(-0.369708\pi\) |
0.995475 | − | 0.0950213i | \(-0.0302919\pi\) | |||||||
\(20\) | −0.966411 | − | 0.760196i | −0.216096 | − | 0.169985i | ||||
\(21\) | −3.95079 | + | 2.43687i | −0.862132 | + | 0.531768i | ||||
\(22\) | 0.688822 | + | 1.54712i | 0.146857 | + | 0.329847i | ||||
\(23\) | −4.38392 | + | 3.94730i | −0.914110 | + | 0.823069i | −0.984668 | − | 0.174439i | \(-0.944189\pi\) |
0.0705575 | + | 0.997508i | \(0.477522\pi\) | |||||||
\(24\) | −3.24990 | − | 4.20996i | −0.663383 | − | 0.859354i | ||||
\(25\) | −2.82328 | + | 4.12663i | −0.564656 | + | 0.825326i | ||||
\(26\) | −0.195827 | −0.0384048 | ||||||||
\(27\) | −5.17638 | + | 0.452840i | −0.996195 | + | 0.0871490i | ||||
\(28\) | 0.866205 | − | 1.19223i | 0.163697 | − | 0.225310i | ||||
\(29\) | 0.636956 | − | 6.06023i | 0.118280 | − | 1.12536i | −0.760901 | − | 0.648868i | \(-0.775243\pi\) |
0.879180 | − | 0.476489i | \(-0.158091\pi\) | |||||||
\(30\) | −3.49426 | + | 3.08900i | −0.637962 | + | 0.563971i | ||||
\(31\) | 0.0629147 | + | 0.598594i | 0.0112998 | + | 0.107511i | 0.998718 | − | 0.0506203i | \(-0.0161198\pi\) |
−0.987418 | + | 0.158131i | \(0.949453\pi\) | |||||||
\(32\) | 2.60917 | + | 1.50640i | 0.461240 | + | 0.266297i | ||||
\(33\) | −2.36690 | + | 0.575523i | −0.412024 | + | 0.100186i | ||||
\(34\) | −0.155636 | + | 0.172851i | −0.0266913 | + | 0.0296437i | ||||
\(35\) | −5.07153 | − | 3.19238i | −0.857245 | − | 0.539611i | ||||
\(36\) | 1.46547 | − | 0.757455i | 0.244244 | − | 0.126242i | ||||
\(37\) | 0.888903 | − | 0.288822i | 0.146135 | − | 0.0474821i | −0.235036 | − | 0.971987i | \(-0.575521\pi\) |
0.381171 | + | 0.924505i | \(0.375521\pi\) | |||||||
\(38\) | 6.71878 | + | 6.04962i | 1.08993 | + | 0.981377i | ||||
\(39\) | 0.0505239 | − | 0.277095i | 0.00809031 | − | 0.0443708i | ||||
\(40\) | 3.03024 | − | 6.16119i | 0.479123 | − | 0.974169i | ||||
\(41\) | −5.53191 | − | 1.17584i | −0.863940 | − | 0.183636i | −0.245431 | − | 0.969414i | \(-0.578929\pi\) |
−0.618509 | + | 0.785778i | \(0.712263\pi\) | |||||||
\(42\) | −3.85953 | − | 4.04349i | −0.595538 | − | 0.623924i | ||||
\(43\) | 5.91893 | − | 3.41730i | 0.902629 | − | 0.521133i | 0.0245768 | − | 0.999698i | \(-0.492176\pi\) |
0.878052 | + | 0.478565i | \(0.158843\pi\) | |||||||
\(44\) | 0.625632 | − | 0.454548i | 0.0943175 | − | 0.0685257i | ||||
\(45\) | −3.46941 | − | 5.74136i | −0.517189 | − | 0.855871i | ||||
\(46\) | −5.74710 | − | 4.17551i | −0.847363 | − | 0.615645i | ||||
\(47\) | −0.217685 | − | 0.0228796i | −0.0317525 | − | 0.00333733i | 0.0886389 | − | 0.996064i | \(-0.471748\pi\) |
−0.120391 | + | 0.992727i | \(0.538415\pi\) | |||||||
\(48\) | 2.91232 | − | 3.43003i | 0.420358 | − | 0.495082i | ||||
\(49\) | 0.0911727 | − | 0.157916i | 0.0130247 | − | 0.0225594i | ||||
\(50\) | −5.56760 | − | 2.29234i | −0.787377 | − | 0.324186i | ||||
\(51\) | −0.204430 | − | 0.264821i | −0.0286259 | − | 0.0370823i | ||||
\(52\) | 0.0185917 | + | 0.0874669i | 0.00257820 | + | 0.0121295i | ||||
\(53\) | −7.64631 | + | 10.5242i | −1.05030 | + | 1.44562i | −0.161754 | + | 0.986831i | \(0.551715\pi\) |
−0.888547 | + | 0.458785i | \(0.848285\pi\) | |||||||
\(54\) | −1.82940 | − | 5.98385i | −0.248950 | − | 0.814299i | ||||
\(55\) | −2.01340 | − | 2.41563i | −0.271486 | − | 0.325723i | ||||
\(56\) | 7.51770 | + | 3.34710i | 1.00460 | + | 0.447275i | ||||
\(57\) | −10.2937 | + | 7.94626i | −1.36343 | + | 1.05251i | ||||
\(58\) | 7.29779 | − | 0.767028i | 0.958246 | − | 0.100716i | ||||
\(59\) | 5.81390 | + | 1.23578i | 0.756905 | + | 0.160885i | 0.570172 | − | 0.821525i | \(-0.306877\pi\) |
0.186733 | + | 0.982411i | \(0.440210\pi\) | |||||||
\(60\) | 1.71146 | + | 1.26746i | 0.220948 | + | 0.163628i | ||||
\(61\) | −13.7973 | + | 2.93271i | −1.76656 | + | 0.375495i | −0.972602 | − | 0.232475i | \(-0.925318\pi\) |
−0.793961 | + | 0.607969i | \(0.791984\pi\) | |||||||
\(62\) | −0.689328 | + | 0.223976i | −0.0875447 | + | 0.0284450i | ||||
\(63\) | 6.71732 | − | 4.41801i | 0.846302 | − | 0.556616i | ||||
\(64\) | −2.72670 | + | 8.39191i | −0.340837 | + | 1.04899i | ||||
\(65\) | 0.349869 | − | 0.0990742i | 0.0433959 | − | 0.0122886i | ||||
\(66\) | −1.27050 | − | 2.64386i | −0.156388 | − | 0.325436i | ||||
\(67\) | −6.42391 | + | 0.675180i | −0.784805 | + | 0.0824863i | −0.488450 | − | 0.872592i | \(-0.662438\pi\) |
−0.296355 | + | 0.955078i | \(0.595771\pi\) | |||||||
\(68\) | 0.0919806 | + | 0.0531050i | 0.0111543 | + | 0.00643993i | ||||
\(69\) | 7.39113 | − | 7.05486i | 0.889787 | − | 0.849305i | ||||
\(70\) | 2.49053 | − | 6.77300i | 0.297675 | − | 0.809528i | ||||
\(71\) | 2.90460 | + | 2.11032i | 0.344713 | + | 0.250449i | 0.746648 | − | 0.665220i | \(-0.231662\pi\) |
−0.401935 | + | 0.915668i | \(0.631662\pi\) | |||||||
\(72\) | 5.83867 | + | 7.12507i | 0.688094 | + | 0.839697i | ||||
\(73\) | −11.0652 | − | 3.59530i | −1.29508 | − | 0.420798i | −0.421215 | − | 0.906961i | \(-0.638396\pi\) |
−0.873868 | + | 0.486163i | \(0.838396\pi\) | |||||||
\(74\) | 0.562756 | + | 0.974721i | 0.0654190 | + | 0.113309i | ||||
\(75\) | 4.68013 | − | 7.28673i | 0.540415 | − | 0.841399i | ||||
\(76\) | 2.06421 | − | 3.57532i | 0.236781 | − | 0.410117i | ||||
\(77\) | 2.80091 | − | 2.52195i | 0.319193 | − | 0.287403i | ||||
\(78\) | 0.339038 | − | 0.00986425i | 0.0383885 | − | 0.00111691i | ||||
\(79\) | −1.42166 | + | 13.5262i | −0.159950 | + | 1.52182i | 0.560407 | + | 0.828217i | \(0.310645\pi\) |
−0.720357 | + | 0.693603i | \(0.756022\pi\) | |||||||
\(80\) | 5.63178 | + | 1.42393i | 0.629653 | + | 0.159200i | ||||
\(81\) | 8.93915 | − | 1.04476i | 0.993239 | − | 0.116084i | ||||
\(82\) | − | 6.81040i | − | 0.752083i | ||||||
\(83\) | 5.96001 | − | 13.3864i | 0.654196 | − | 1.46935i | −0.215875 | − | 0.976421i | \(-0.569260\pi\) |
0.870071 | − | 0.492927i | \(-0.164073\pi\) | |||||||
\(84\) | −1.43962 | + | 2.10776i | −0.157076 | + | 0.229976i | ||||
\(85\) | 0.190613 | − | 0.387560i | 0.0206748 | − | 0.0420368i | ||||
\(86\) | 5.50713 | + | 6.11629i | 0.593849 | + | 0.659537i | ||||
\(87\) | −0.797506 | + | 10.5243i | −0.0855016 | + | 1.12832i | ||||
\(88\) | 3.20913 | + | 2.88951i | 0.342094 | + | 0.308023i | ||||
\(89\) | −3.38521 | + | 10.4186i | −0.358831 | + | 1.10437i | 0.594923 | + | 0.803783i | \(0.297183\pi\) |
−0.953754 | + | 0.300587i | \(0.902817\pi\) | |||||||
\(90\) | 5.89408 | − | 5.52405i | 0.621291 | − | 0.582286i | ||||
\(91\) | 0.134675 | + | 0.414486i | 0.0141177 | + | 0.0434499i | ||||
\(92\) | −1.31938 | + | 2.96339i | −0.137555 | + | 0.308954i | ||||
\(93\) | −0.139078 | − | 1.03319i | −0.0144217 | − | 0.107137i | ||||
\(94\) | −0.0275518 | − | 0.262138i | −0.00284175 | − | 0.0270374i | ||||
\(95\) | −15.0646 | − | 7.40918i | −1.54560 | − | 0.760166i | ||||
\(96\) | −4.59318 | − | 2.47663i | −0.468789 | − | 0.252770i | ||||
\(97\) | 3.08167 | + | 0.323896i | 0.312896 | + | 0.0328867i | 0.259675 | − | 0.965696i | \(-0.416385\pi\) |
0.0532209 | + | 0.998583i | \(0.483051\pi\) | |||||||
\(98\) | 0.208835 | + | 0.0678546i | 0.0210955 | + | 0.00685435i | ||||
\(99\) | 4.06886 | − | 1.11564i | 0.408936 | − | 0.112126i | ||||
\(100\) | −0.495302 | + | 2.70443i | −0.0495302 | + | 0.270443i | ||||
\(101\) | 4.01857 | + | 6.96037i | 0.399863 | + | 0.692583i | 0.993709 | − | 0.111996i | \(-0.0357244\pi\) |
−0.593846 | + | 0.804579i | \(0.702391\pi\) | |||||||
\(102\) | 0.260748 | − | 0.307100i | 0.0258179 | − | 0.0304074i | ||||
\(103\) | 0.219557 | + | 0.493132i | 0.0216336 | + | 0.0485898i | 0.924039 | − | 0.382298i | \(-0.124867\pi\) |
−0.902406 | + | 0.430888i | \(0.858201\pi\) | |||||||
\(104\) | −0.456165 | + | 0.203098i | −0.0447307 | + | 0.0199154i | ||||
\(105\) | 8.94124 | + | 5.27156i | 0.872576 | + | 0.514452i | ||||
\(106\) | −14.3108 | − | 6.37160i | −1.38999 | − | 0.618864i | ||||
\(107\) | 0.671621i | 0.0649281i | 0.999473 | + | 0.0324640i | \(0.0103354\pi\) | ||||
−0.999473 | + | 0.0324640i | \(0.989665\pi\) | |||||||
\(108\) | −2.49903 | + | 1.38521i | −0.240469 | + | 0.133292i | ||||
\(109\) | 4.32136 | + | 13.2998i | 0.413911 | + | 1.27389i | 0.913221 | + | 0.407464i | \(0.133587\pi\) |
−0.499310 | + | 0.866423i | \(0.666413\pi\) | |||||||
\(110\) | 2.34126 | − | 2.97637i | 0.223231 | − | 0.283785i | ||||
\(111\) | −1.52443 | + | 0.544819i | −0.144692 | + | 0.0517119i | ||||
\(112\) | −1.44753 | + | 6.81012i | −0.136779 | + | 0.643495i | ||||
\(113\) | −0.769916 | + | 3.62217i | −0.0724276 | + | 0.340745i | −0.999409 | − | 0.0343611i | \(-0.989060\pi\) |
0.926982 | + | 0.375106i | \(0.122394\pi\) | |||||||
\(114\) | −11.9371 | − | 10.1354i | −1.11801 | − | 0.949264i | ||||
\(115\) | 12.3804 | + | 4.55246i | 1.15448 | + | 0.424519i | ||||
\(116\) | −1.03544 | − | 3.18677i | −0.0961386 | − | 0.295884i | ||||
\(117\) | −0.0735151 | + | 0.482285i | −0.00679647 | + | 0.0445873i | ||||
\(118\) | 7.15756i | 0.658907i | ||||||||
\(119\) | 0.472890 | + | 0.210544i | 0.0433497 | + | 0.0193005i | ||||
\(120\) | −4.93595 | + | 10.8196i | −0.450589 | + | 0.987691i | ||||
\(121\) | −8.24218 | + | 3.66966i | −0.749289 | + | 0.333605i | ||||
\(122\) | −6.90883 | − | 15.5175i | −0.625496 | − | 1.40489i | ||||
\(123\) | 9.63673 | + | 1.75711i | 0.868915 | + | 0.158433i | ||||
\(124\) | 0.165484 | + | 0.286627i | 0.0148609 | + | 0.0257399i | ||||
\(125\) | 11.1070 | + | 1.27876i | 0.993438 | + | 0.114376i | ||||
\(126\) | 6.88575 | + | 6.80615i | 0.613431 | + | 0.606340i | ||||
\(127\) | 13.6104 | + | 4.42230i | 1.20773 | + | 0.392416i | 0.842600 | − | 0.538540i | \(-0.181024\pi\) |
0.365132 | + | 0.930956i | \(0.381024\pi\) | |||||||
\(128\) | −4.57486 | − | 0.480838i | −0.404365 | − | 0.0425004i | ||||
\(129\) | −10.0754 | + | 6.21458i | −0.887091 | + | 0.547163i | ||||
\(130\) | 0.204295 | + | 0.387304i | 0.0179179 | + | 0.0339688i | ||||
\(131\) | −1.22397 | − | 11.6453i | −0.106938 | − | 1.01745i | −0.908029 | − | 0.418908i | \(-0.862413\pi\) |
0.801090 | − | 0.598543i | \(-0.204254\pi\) | |||||||
\(132\) | −1.06027 | + | 0.818482i | −0.0922847 | + | 0.0712397i | ||||
\(133\) | 8.18392 | − | 18.3814i | 0.709636 | − | 1.59387i | ||||
\(134\) | −2.40364 | − | 7.39763i | −0.207643 | − | 0.639058i | ||||
\(135\) | 6.29585 | + | 9.76536i | 0.541861 | + | 0.840468i | ||||
\(136\) | −0.183274 | + | 0.564059i | −0.0157156 | + | 0.0483677i | ||||
\(137\) | −15.2933 | − | 13.7702i | −1.30660 | − | 1.17647i | −0.972231 | − | 0.234022i | \(-0.924811\pi\) |
−0.334366 | − | 0.942443i | \(-0.608522\pi\) | |||||||
\(138\) | 10.1604 | + | 6.93964i | 0.864909 | + | 0.590742i | ||||
\(139\) | −0.609700 | − | 0.677140i | −0.0517141 | − | 0.0574343i | 0.716733 | − | 0.697348i | \(-0.245637\pi\) |
−0.768447 | + | 0.639914i | \(0.778970\pi\) | |||||||
\(140\) | −3.26164 | − | 0.469382i | −0.275659 | − | 0.0396701i | ||||
\(141\) | 0.378034 | + | 0.0286465i | 0.0318362 | + | 0.00241247i | ||||
\(142\) | −1.75851 | + | 3.94967i | −0.147571 | + | 0.331449i | ||||
\(143\) | 0.228698i | 0.0191247i | ||||||||
\(144\) | −4.86938 | + | 6.08518i | −0.405782 | + | 0.507098i | ||||
\(145\) | −12.6504 | + | 5.06254i | −1.05055 | + | 0.420421i | ||||
\(146\) | 1.46450 | − | 13.9338i | 0.121203 | − | 1.15317i | ||||
\(147\) | −0.149894 | + | 0.277995i | −0.0123631 | + | 0.0229286i | ||||
\(148\) | 0.381936 | − | 0.343897i | 0.0313949 | − | 0.0282681i | ||||
\(149\) | 10.6085 | − | 18.3745i | 0.869083 | − | 1.50530i | 0.00614869 | − | 0.999981i | \(-0.498043\pi\) |
0.862935 | − | 0.505315i | \(-0.168624\pi\) | |||||||
\(150\) | 9.75475 | + | 3.68832i | 0.796472 | + | 0.301150i | ||||
\(151\) | −2.66528 | − | 4.61641i | −0.216898 | − | 0.375678i | 0.736960 | − | 0.675936i | \(-0.236260\pi\) |
−0.953858 | + | 0.300258i | \(0.902927\pi\) | |||||||
\(152\) | 21.9252 | + | 7.12392i | 1.77837 | + | 0.577826i | ||||
\(153\) | 0.367273 | + | 0.448192i | 0.0296923 | + | 0.0362342i | ||||
\(154\) | 3.67185 | + | 2.66775i | 0.295886 | + | 0.214974i | ||||
\(155\) | 1.11826 | − | 0.748912i | 0.0898204 | − | 0.0601540i | ||||
\(156\) | −0.0365940 | − | 0.150497i | −0.00292986 | − | 0.0120494i | ||||
\(157\) | 10.4979 | + | 6.06096i | 0.837823 | + | 0.483717i | 0.856524 | − | 0.516108i | \(-0.172620\pi\) |
−0.0187007 | + | 0.999825i | \(0.505953\pi\) | |||||||
\(158\) | −16.2884 | + | 1.71198i | −1.29584 | + | 0.136198i | ||||
\(159\) | 12.7081 | − | 18.6060i | 1.00782 | − | 1.47555i | ||||
\(160\) | 0.257344 | − | 6.73192i | 0.0203448 | − | 0.532205i | ||||
\(161\) | −4.88545 | + | 15.0359i | −0.385027 | + | 1.18499i | ||||
\(162\) | 3.46870 | + | 10.2678i | 0.272527 | + | 0.806715i | ||||
\(163\) | −0.508454 | + | 0.165207i | −0.0398252 | + | 0.0129400i | −0.328862 | − | 0.944378i | \(-0.606665\pi\) |
0.289037 | + | 0.957318i | \(0.406665\pi\) | |||||||
\(164\) | −3.04190 | + | 0.646575i | −0.237532 | + | 0.0504890i | ||||
\(165\) | 3.60751 | + | 4.08080i | 0.280844 | + | 0.317690i | ||||
\(166\) | 17.2600 | + | 3.66872i | 1.33963 | + | 0.284748i | ||||
\(167\) | 10.8420 | − | 1.13954i | 0.838979 | − | 0.0881803i | 0.324715 | − | 0.945812i | \(-0.394732\pi\) |
0.514264 | + | 0.857632i | \(0.328065\pi\) | |||||||
\(168\) | −13.1841 | − | 5.41620i | −1.01718 | − | 0.417869i | ||||
\(169\) | 11.8519 | + | 5.27682i | 0.911687 | + | 0.405909i | ||||
\(170\) | 0.504228 | + | 0.127488i | 0.0386726 | + | 0.00977791i | ||||
\(171\) | 17.4214 | − | 14.2760i | 1.33225 | − | 1.09172i | ||||
\(172\) | 2.20903 | − | 3.04046i | 0.168437 | − | 0.231833i | ||||
\(173\) | 2.18261 | + | 10.2684i | 0.165941 | + | 0.780689i | 0.979856 | + | 0.199706i | \(0.0639986\pi\) |
−0.813915 | + | 0.580983i | \(0.802668\pi\) | |||||||
\(174\) | −12.5962 | + | 1.69558i | −0.954912 | + | 0.128541i | ||||
\(175\) | −1.02300 | + | 13.3608i | −0.0773313 | + | 1.00998i | ||||
\(176\) | −1.82675 | + | 3.16402i | −0.137696 | + | 0.238497i | ||||
\(177\) | −10.1280 | − | 1.84667i | −0.761264 | − | 0.138804i | ||||
\(178\) | −13.1196 | − | 1.37892i | −0.983352 | − | 0.103355i | ||||
\(179\) | −11.1491 | − | 8.10027i | −0.833321 | − | 0.605443i | 0.0871761 | − | 0.996193i | \(-0.472216\pi\) |
−0.920497 | + | 0.390750i | \(0.872216\pi\) | |||||||
\(180\) | −3.02692 | − | 2.10817i | −0.225614 | − | 0.157134i | ||||
\(181\) | −5.95243 | + | 4.32469i | −0.442441 | + | 0.321452i | −0.786604 | − | 0.617458i | \(-0.788163\pi\) |
0.344163 | + | 0.938910i | \(0.388163\pi\) | |||||||
\(182\) | −0.454502 | + | 0.262407i | −0.0336899 | + | 0.0194509i | ||||
\(183\) | 23.7398 | − | 5.77245i | 1.75490 | − | 0.426712i | ||||
\(184\) | −17.7180 | − | 3.76608i | −1.30619 | − | 0.277639i | ||||
\(185\) | −1.49857 | − | 1.45675i | −0.110177 | − | 0.107102i | ||||
\(186\) | 1.18216 | − | 0.422497i | 0.0866805 | − | 0.0309790i | ||||
\(187\) | 0.201865 | + | 0.181760i | 0.0147619 | + | 0.0132916i | ||||
\(188\) | −0.114469 | + | 0.0371933i | −0.00834852 | + | 0.00271260i | ||||
\(189\) | −11.4073 | + | 7.98734i | −0.829757 | + | 0.580993i | ||||
\(190\) | 4.95552 | − | 19.5995i | 0.359511 | − | 1.42190i | ||||
\(191\) | 0.746068 | − | 0.828592i | 0.0539836 | − | 0.0599548i | −0.715548 | − | 0.698563i | \(-0.753823\pi\) |
0.769532 | + | 0.638609i | \(0.220490\pi\) | |||||||
\(192\) | 4.29806 | − | 14.6664i | 0.310186 | − | 1.05846i | ||||
\(193\) | −21.9469 | − | 12.6711i | −1.57977 | − | 0.912083i | −0.994890 | − | 0.100966i | \(-0.967807\pi\) |
−0.584884 | − | 0.811117i | \(-0.698860\pi\) | |||||||
\(194\) | 0.390039 | + | 3.71097i | 0.0280031 | + | 0.266432i | ||||
\(195\) | −0.600744 | + | 0.189153i | −0.0430202 | + | 0.0135455i | ||||
\(196\) | 0.0104809 | − | 0.0997191i | 0.000748636 | − | 0.00712279i | ||||
\(197\) | 9.37839 | − | 12.9082i | 0.668182 | − | 0.919674i | −0.331535 | − | 0.943443i | \(-0.607567\pi\) |
0.999717 | + | 0.0237688i | \(0.00756657\pi\) | |||||||
\(198\) | 2.33282 | + | 4.51336i | 0.165786 | + | 0.320751i | ||||
\(199\) | −19.2943 | −1.36774 | −0.683868 | − | 0.729606i | \(-0.739704\pi\) | ||||
−0.683868 | + | 0.729606i | \(0.739704\pi\) | |||||||
\(200\) | −15.3468 | + | 0.434461i | −1.08518 | + | 0.0307210i | ||||
\(201\) | 11.0878 | − | 1.49254i | 0.782074 | − | 0.105276i | ||||
\(202\) | −7.19245 | + | 6.47611i | −0.506059 | + | 0.455658i | ||||
\(203\) | −6.64235 | − | 14.9190i | −0.466201 | − | 1.04711i | ||||
\(204\) | −0.161923 | − | 0.0873084i | −0.0113369 | − | 0.00611281i | ||||
\(205\) | 3.44557 | + | 12.1676i | 0.240649 | + | 0.849825i | ||||
\(206\) | −0.525887 | + | 0.382080i | −0.0366403 | + | 0.0266207i | ||||
\(207\) | −12.4410 | + | 12.5865i | −0.864711 | + | 0.874823i | ||||
\(208\) | −0.248317 | − | 0.341779i | −0.0172177 | − | 0.0236981i | ||||
\(209\) | 7.06509 | − | 7.84658i | 0.488703 | − | 0.542759i | ||||
\(210\) | −3.97073 | + | 11.8517i | −0.274006 | + | 0.817843i | ||||
\(211\) | 2.02834 | + | 2.25270i | 0.139637 | + | 0.155082i | 0.808907 | − | 0.587937i | \(-0.200060\pi\) |
−0.669270 | + | 0.743019i | \(0.733393\pi\) | |||||||
\(212\) | −1.48724 | + | 6.99692i | −0.102144 | + | 0.480550i | ||||
\(213\) | −5.13510 | − | 3.50732i | −0.351851 | − | 0.240318i | ||||
\(214\) | −0.791098 | + | 0.168153i | −0.0540784 | + | 0.0114947i | ||||
\(215\) | −12.9336 | − | 8.14131i | −0.882063 | − | 0.555233i | ||||
\(216\) | −10.4675 | − | 12.0417i | −0.712223 | − | 0.819331i | ||||
\(217\) | 0.948134 | + | 1.30499i | 0.0643635 | + | 0.0885888i | ||||
\(218\) | −14.5838 | + | 8.41995i | −0.987738 | + | 0.570271i | ||||
\(219\) | 19.3385 | + | 5.66723i | 1.30677 | + | 0.382956i | ||||
\(220\) | −1.55169 | − | 0.763161i | −0.104615 | − | 0.0514523i | ||||
\(221\) | −0.0286944 | + | 0.0127756i | −0.00193019 | + | 0.000859378i | ||||
\(222\) | −1.02341 | − | 1.65921i | −0.0686866 | − | 0.111359i | ||||
\(223\) | −3.78775 | − | 17.8200i | −0.253647 | − | 1.19331i | −0.901919 | − | 0.431905i | \(-0.857842\pi\) |
0.648273 | − | 0.761408i | \(-0.275492\pi\) | |||||||
\(224\) | 8.07429 | 0.539486 | ||||||||
\(225\) | −7.73574 | + | 12.8514i | −0.515716 | + | 0.856759i | ||||
\(226\) | −4.45929 | −0.296628 | ||||||||
\(227\) | −1.75915 | − | 8.27617i | −0.116759 | − | 0.549309i | −0.997175 | − | 0.0751071i | \(-0.976070\pi\) |
0.880416 | − | 0.474202i | \(-0.157263\pi\) | |||||||
\(228\) | −3.39371 | + | 6.29399i | −0.224754 | + | 0.416830i | ||||
\(229\) | −8.93614 | + | 3.97862i | −0.590517 | + | 0.262915i | −0.680166 | − | 0.733059i | \(-0.738092\pi\) |
0.0896491 | + | 0.995973i | \(0.471425\pi\) | |||||||
\(230\) | −2.26264 | + | 15.7226i | −0.149194 | + | 1.03672i | ||||
\(231\) | −4.72222 | + | 4.50738i | −0.310699 | + | 0.296564i | ||||
\(232\) | 16.2042 | − | 9.35550i | 1.06386 | − | 0.614218i | ||||
\(233\) | −1.49631 | − | 2.05949i | −0.0980263 | − | 0.134922i | 0.757186 | − | 0.653199i | \(-0.226573\pi\) |
−0.855213 | + | 0.518277i | \(0.826573\pi\) | |||||||
\(234\) | −0.586487 | + | 0.0341563i | −0.0383398 | + | 0.00223287i | ||||
\(235\) | 0.181847 | + | 0.454403i | 0.0118624 | + | 0.0296420i | ||||
\(236\) | 3.19696 | − | 0.679534i | 0.208104 | − | 0.0442339i | ||||
\(237\) | 1.78001 | − | 23.4898i | 0.115624 | − | 1.52583i | ||||
\(238\) | −0.129602 | + | 0.609728i | −0.00840082 | + | 0.0395228i | ||||
\(239\) | 7.06013 | + | 7.84107i | 0.456682 | + | 0.507197i | 0.926877 | − | 0.375366i | \(-0.122483\pi\) |
−0.470195 | + | 0.882563i | \(0.655816\pi\) | |||||||
\(240\) | −9.82214 | − | 2.18159i | −0.634016 | − | 0.140821i | ||||
\(241\) | −2.05683 | + | 2.28434i | −0.132492 | + | 0.147147i | −0.805740 | − | 0.592270i | \(-0.798232\pi\) |
0.673248 | + | 0.739417i | \(0.264899\pi\) | |||||||
\(242\) | −6.38605 | − | 8.78965i | −0.410511 | − | 0.565020i | ||||
\(243\) | −15.4239 | + | 2.25909i | −0.989443 | + | 0.144921i | ||||
\(244\) | −6.27504 | + | 4.55908i | −0.401718 | + | 0.291865i | ||||
\(245\) | −0.407439 | − | 0.0155754i | −0.0260303 | − | 0.000995074i | ||||
\(246\) | 0.343056 | + | 11.7910i | 0.0218724 | + | 0.751765i | ||||
\(247\) | 0.496591 | + | 1.11536i | 0.0315973 | + | 0.0709687i | ||||
\(248\) | −1.37345 | + | 1.23666i | −0.0872142 | + | 0.0785280i | ||||
\(249\) | −9.64436 | + | 23.4763i | −0.611187 | + | 1.48775i | ||||
\(250\) | 1.27460 | + | 13.4030i | 0.0806127 | + | 0.847680i | ||||
\(251\) | −23.8819 | −1.50741 | −0.753707 | − | 0.657211i | \(-0.771736\pi\) | ||||
−0.753707 | + | 0.657211i | \(0.771736\pi\) | |||||||
\(252\) | 2.38627 | − | 3.72172i | 0.150321 | − | 0.234447i | ||||
\(253\) | −4.87640 | + | 6.71180i | −0.306577 | + | 0.421967i | ||||
\(254\) | −1.80137 | + | 17.1389i | −0.113028 | + | 1.07539i | ||||
\(255\) | −0.310489 | + | 0.680592i | −0.0194436 | + | 0.0426203i | ||||
\(256\) | 1.26564 | + | 12.0418i | 0.0791027 | + | 0.752612i | ||||
\(257\) | −4.15137 | − | 2.39680i | −0.258955 | − | 0.149508i | 0.364903 | − | 0.931046i | \(-0.381102\pi\) |
−0.623858 | + | 0.781538i | \(0.714436\pi\) | |||||||
\(258\) | −9.84269 | − | 10.3118i | −0.612779 | − | 0.641987i | ||||
\(259\) | 1.67607 | − | 1.86146i | 0.104146 | − | 0.115666i | ||||
\(260\) | 0.153595 | − | 0.128020i | 0.00952557 | − | 0.00793945i | ||||
\(261\) | 0.850605 | − | 18.2610i | 0.0526511 | − | 1.13033i | ||||
\(262\) | 13.4104 | − | 4.35732i | 0.828500 | − | 0.269196i | ||||
\(263\) | 17.2869 | + | 15.5652i | 1.06595 | + | 0.959790i | 0.999278 | − | 0.0379848i | \(-0.0120939\pi\) |
0.0666763 | + | 0.997775i | \(0.478761\pi\) | |||||||
\(264\) | −5.70157 | − | 4.84101i | −0.350908 | − | 0.297944i | ||||
\(265\) | 28.7917 | + | 4.14341i | 1.76866 | + | 0.254528i | ||||
\(266\) | 23.7003 | + | 5.03766i | 1.45316 | + | 0.308879i | ||||
\(267\) | 5.33606 | − | 18.2084i | 0.326562 | − | 1.11434i | ||||
\(268\) | −3.07599 | + | 1.77592i | −0.187896 | + | 0.108482i | ||||
\(269\) | 6.79619 | − | 4.93772i | 0.414371 | − | 0.301058i | −0.360998 | − | 0.932567i | \(-0.617564\pi\) |
0.775369 | + | 0.631508i | \(0.217564\pi\) | |||||||
\(270\) | −9.92627 | + | 9.86079i | −0.604093 | + | 0.600109i | ||||
\(271\) | 16.4715 | + | 11.9673i | 1.00058 | + | 0.726960i | 0.962211 | − | 0.272304i | \(-0.0877855\pi\) |
0.0383636 | + | 0.999264i | \(0.487785\pi\) | |||||||
\(272\) | −0.499031 | − | 0.0524503i | −0.0302582 | − | 0.00318027i | ||||
\(273\) | −0.254043 | − | 0.710823i | −0.0153754 | − | 0.0430210i | ||||
\(274\) | 12.3908 | − | 21.4615i | 0.748557 | − | 1.29654i | ||||
\(275\) | −2.67713 | + | 6.50216i | −0.161437 | + | 0.392095i | ||||
\(276\) | 2.13500 | − | 5.19703i | 0.128512 | − | 0.312824i | ||||
\(277\) | −2.12195 | − | 9.98301i | −0.127496 | − | 0.599821i | −0.994783 | − | 0.102013i | \(-0.967472\pi\) |
0.867287 | − | 0.497808i | \(-0.165862\pi\) | |||||||
\(278\) | 0.644950 | − | 0.887697i | 0.0386815 | − | 0.0532405i | ||||
\(279\) | 0.292832 | + | 1.78177i | 0.0175314 | + | 0.106672i | ||||
\(280\) | −1.22296 | − | 18.3602i | −0.0730859 | − | 1.09723i | ||||
\(281\) | 21.4178 | + | 9.53583i | 1.27768 | + | 0.568860i | 0.929588 | − | 0.368600i | \(-0.120163\pi\) |
0.348093 | + | 0.937460i | \(0.386829\pi\) | |||||||
\(282\) | 0.0609054 | + | 0.452456i | 0.00362686 | + | 0.0269433i | ||||
\(283\) | −16.1357 | + | 1.69593i | −0.959166 | + | 0.100812i | −0.571155 | − | 0.820842i | \(-0.693505\pi\) |
−0.388011 | + | 0.921655i | \(0.626838\pi\) | |||||||
\(284\) | 1.93109 | + | 0.410466i | 0.114589 | + | 0.0243567i | ||||
\(285\) | 26.4548 | + | 12.0688i | 1.56705 | + | 0.714895i | ||||
\(286\) | −0.269382 | + | 0.0572589i | −0.0159289 | + | 0.00338579i | ||||
\(287\) | −14.4149 | + | 4.68367i | −0.850882 | + | 0.276468i | ||||
\(288\) | 8.07700 | + | 4.05647i | 0.475942 | + | 0.239030i | ||||
\(289\) | 5.24176 | − | 16.1325i | 0.308339 | − | 0.948969i | ||||
\(290\) | −9.13040 | − | 13.6333i | −0.536155 | − | 0.800573i | ||||
\(291\) | −5.35166 | − | 0.405537i | −0.313720 | − | 0.0237730i | ||||
\(292\) | −6.36263 | + | 0.668739i | −0.372344 | + | 0.0391350i | ||||
\(293\) | −2.77885 | − | 1.60437i | −0.162342 | − | 0.0937283i | 0.416628 | − | 0.909077i | \(-0.363212\pi\) |
−0.578970 | + | 0.815349i | \(0.696545\pi\) | |||||||
\(294\) | −0.364978 | − | 0.106958i | −0.0212859 | − | 0.00623794i | ||||
\(295\) | −3.62121 | − | 12.7879i | −0.210835 | − | 0.744539i | ||||
\(296\) | 2.32181 | + | 1.68690i | 0.134953 | + | 0.0980489i | ||||
\(297\) | −6.98829 | + | 2.13648i | −0.405502 | + | 0.123971i | ||||
\(298\) | 24.2992 | + | 7.89530i | 1.40762 | + | 0.457363i | ||||
\(299\) | −0.479656 | − | 0.830788i | −0.0277392 | − | 0.0480457i | ||||
\(300\) | 0.721297 | − | 4.70717i | 0.0416441 | − | 0.271769i | ||||
\(301\) | 9.15833 | − | 15.8627i | 0.527877 | − | 0.914310i | ||||
\(302\) | 4.77033 | − | 4.29523i | 0.274502 | − | 0.247162i | ||||
\(303\) | −7.30804 | − | 11.8482i | −0.419836 | − | 0.680661i | ||||
\(304\) | −2.03876 | + | 19.3975i | −0.116931 | + | 1.11252i | ||||
\(305\) | 20.1942 | + | 24.2286i | 1.15632 | + | 1.38732i | ||||
\(306\) | −0.435968 | + | 0.544822i | −0.0249227 | + | 0.0311454i | ||||
\(307\) | 16.5271i | 0.943250i | 0.881799 | + | 0.471625i | \(0.156332\pi\) | ||||
−0.881799 | + | 0.471625i | \(0.843668\pi\) | |||||||
\(308\) | 0.842961 | − | 1.89332i | 0.0480322 | − | 0.107882i | ||||
\(309\) | −0.404963 | − | 0.842709i | −0.0230375 | − | 0.0479401i | ||||
\(310\) | 1.16212 | + | 1.12968i | 0.0660037 | + | 0.0641616i | ||||
\(311\) | 12.5827 | + | 13.9745i | 0.713499 | + | 0.792421i | 0.985464 | − | 0.169886i | \(-0.0543400\pi\) |
−0.271965 | + | 0.962307i | \(0.587673\pi\) | |||||||
\(312\) | 0.779537 | − | 0.374605i | 0.0441326 | − | 0.0212078i | ||||
\(313\) | 2.34979 | + | 2.11576i | 0.132818 | + | 0.119590i | 0.732862 | − | 0.680377i | \(-0.238184\pi\) |
−0.600045 | + | 0.799967i | \(0.704851\pi\) | |||||||
\(314\) | −4.51082 | + | 13.8829i | −0.254560 | + | 0.783456i | ||||
\(315\) | −15.7457 | − | 8.67636i | −0.887168 | − | 0.488857i | ||||
\(316\) | 2.31108 | + | 7.11276i | 0.130008 | + | 0.400124i | ||||
\(317\) | −0.163144 | + | 0.366428i | −0.00916309 | + | 0.0205806i | −0.918069 | − | 0.396421i | \(-0.870252\pi\) |
0.908906 | + | 0.417001i | \(0.136919\pi\) | |||||||
\(318\) | 25.0976 | + | 10.3104i | 1.40740 | + | 0.578178i | ||||
\(319\) | −0.895781 | − | 8.52278i | −0.0501541 | − | 0.477184i | ||||
\(320\) | 19.4420 | − | 3.36199i | 1.08684 | − | 0.187941i | ||||
\(321\) | −0.0338311 | − | 1.16279i | −0.00188827 | − | 0.0649006i | ||||
\(322\) | −18.9338 | − | 1.99003i | −1.05514 | − | 0.110900i | ||||
\(323\) | 1.37917 | + | 0.448120i | 0.0767391 | + | 0.0249340i | ||||
\(324\) | 4.25684 | − | 2.52413i | 0.236491 | − | 0.140229i | ||||
\(325\) | −0.560947 | − | 0.588608i | −0.0311157 | − | 0.0326501i | ||||
\(326\) | −0.321897 | − | 0.557543i | −0.0178282 | − | 0.0308794i | ||||
\(327\) | −8.15158 | − | 22.8085i | −0.450784 | − | 1.26131i | ||||
\(328\) | −7.06327 | − | 15.8644i | −0.390004 | − | 0.875963i | ||||
\(329\) | −0.535891 | + | 0.238594i | −0.0295446 | + | 0.0131541i | ||||
\(330\) | −3.90354 | + | 5.27097i | −0.214883 | + | 0.290158i | ||||
\(331\) | 22.0829 | + | 9.83194i | 1.21379 | + | 0.540412i | 0.910905 | − | 0.412616i | \(-0.135385\pi\) |
0.302881 | + | 0.953028i | \(0.402052\pi\) | |||||||
\(332\) | − | 8.05754i | − | 0.442215i | ||||||
\(333\) | 2.61182 | − | 1.02004i | 0.143127 | − | 0.0558981i | ||||
\(334\) | 4.05676 | + | 12.4854i | 0.221976 | + | 0.683172i | ||||
\(335\) | 8.03707 | + | 12.0007i | 0.439112 | + | 0.655670i | ||||
\(336\) | 2.16310 | − | 11.8634i | 0.118007 | − | 0.647201i | ||||
\(337\) | 6.94302 | − | 32.6643i | 0.378210 | − | 1.77934i | −0.217418 | − | 0.976079i | \(-0.569763\pi\) |
0.595628 | − | 0.803260i | \(-0.296903\pi\) | |||||||
\(338\) | −3.24818 | + | 15.2815i | −0.176678 | + | 0.831202i | ||||
\(339\) | 1.15051 | − | 6.30991i | 0.0624872 | − | 0.342707i | ||||
\(340\) | 0.00907213 | − | 0.237320i | 0.000492005 | − | 0.0128705i | ||||
\(341\) | 0.261573 | + | 0.805038i | 0.0141649 | + | 0.0435952i | ||||
\(342\) | 21.1774 | + | 16.9462i | 1.14514 | + | 0.916348i | ||||
\(343\) | 18.2712i | 0.986554i | ||||||||
\(344\) | 19.1719 | + | 8.53587i | 1.03368 | + | 0.460223i | ||||
\(345\) | −21.6638 | − | 7.25812i | −1.16634 | − | 0.390764i | ||||
\(346\) | −11.5486 | + | 5.14176i | −0.620856 | + | 0.276423i | ||||
\(347\) | 1.52284 | + | 3.42036i | 0.0817505 | + | 0.183615i | 0.949796 | − | 0.312870i | \(-0.101290\pi\) |
−0.868045 | + | 0.496485i | \(0.834624\pi\) | |||||||
\(348\) | 1.95321 | + | 5.46515i | 0.104703 | + | 0.292963i | ||||
\(349\) | −8.67752 | − | 15.0299i | −0.464497 | − | 0.804532i | 0.534682 | − | 0.845053i | \(-0.320431\pi\) |
−0.999179 | + | 0.0405213i | \(0.987098\pi\) | |||||||
\(350\) | −15.9938 | + | 2.14016i | −0.854904 | + | 0.114396i | ||||
\(351\) | 0.102984 | − | 0.838692i | 0.00549689 | − | 0.0447661i | ||||
\(352\) | 4.02967 | + | 1.30932i | 0.214782 | + | 0.0697869i | ||||
\(353\) | 5.49417 | + | 0.577460i | 0.292425 | + | 0.0307351i | 0.249605 | − | 0.968348i | \(-0.419699\pi\) |
0.0428198 | + | 0.999083i | \(0.486366\pi\) | |||||||
\(354\) | −0.360543 | − | 12.3920i | −0.0191626 | − | 0.658628i | ||||
\(355\) | 1.14355 | − | 7.94627i | 0.0606932 | − | 0.421744i | ||||
\(356\) | 0.629661 | + | 5.99082i | 0.0333720 | + | 0.317513i | ||||
\(357\) | −0.829328 | − | 0.340698i | −0.0438927 | − | 0.0180317i | ||||
\(358\) | 6.74988 | − | 15.1605i | 0.356742 | − | 0.801256i | ||||
\(359\) | −4.30244 | − | 13.2416i | −0.227074 | − | 0.698863i | −0.998074 | − | 0.0620276i | \(-0.980243\pi\) |
0.771000 | − | 0.636835i | \(-0.219757\pi\) | |||||||
\(360\) | 8.00070 | − | 18.9808i | 0.421674 | − | 1.00038i | ||||
\(361\) | 11.5473 | − | 35.5388i | 0.607750 | − | 1.87046i | ||||
\(362\) | −6.58434 | − | 5.92856i | −0.346065 | − | 0.311598i | ||||
\(363\) | 14.0850 | − | 6.76852i | 0.739270 | − | 0.355255i | ||||
\(364\) | 0.160355 | + | 0.178093i | 0.00840490 | + | 0.00933459i | ||||
\(365\) | 4.43297 | + | 25.6354i | 0.232032 | + | 1.34182i | ||||
\(366\) | 12.7430 | + | 26.5177i | 0.666089 | + | 1.38610i | ||||
\(367\) | −14.9221 | + | 33.5157i | −0.778930 | + | 1.74950i | −0.126077 | + | 0.992021i | \(0.540239\pi\) |
−0.652853 | + | 0.757484i | \(0.726428\pi\) | |||||||
\(368\) | − | 15.3252i | − | 0.798881i | ||||||
\(369\) | −16.7728 | − | 2.55668i | −0.873155 | − | 0.133096i | ||||
\(370\) | 1.34070 | − | 2.12988i | 0.0696996 | − | 0.110727i | ||||
\(371\) | −3.64419 | + | 34.6721i | −0.189197 | + | 1.80009i | ||||
\(372\) | −0.300944 | − | 0.487907i | −0.0156032 | − | 0.0252968i | ||||
\(373\) | −13.9005 | + | 12.5161i | −0.719740 | + | 0.648057i | −0.945311 | − | 0.326170i | \(-0.894242\pi\) |
0.225571 | + | 0.974227i | \(0.427575\pi\) | |||||||
\(374\) | −0.163554 | + | 0.283283i | −0.00845716 | + | 0.0146482i | ||||
\(375\) | −19.2941 | − | 1.65446i | −0.996344 | − | 0.0854358i | ||||
\(376\) | −0.336051 | − | 0.582057i | −0.0173305 | − | 0.0300173i | ||||
\(377\) | 0.942436 | + | 0.306216i | 0.0485379 | + | 0.0157709i | ||||
\(378\) | −12.2643 | − | 11.4368i | −0.630806 | − | 0.588244i | ||||
\(379\) | 1.54812 | + | 1.12477i | 0.0795216 | + | 0.0577758i | 0.626836 | − | 0.779151i | \(-0.284350\pi\) |
−0.547314 | + | 0.836927i | \(0.684350\pi\) | |||||||
\(380\) | −9.22470 | − | 0.352637i | −0.473217 | − | 0.0180899i | ||||
\(381\) | −23.7868 | − | 6.97082i | −1.21863 | − | 0.357126i | ||||
\(382\) | 1.16279 | + | 0.671335i | 0.0594933 | + | 0.0343485i | ||||
\(383\) | 9.60659 | − | 1.00969i | 0.490874 | − | 0.0515929i | 0.144142 | − | 0.989557i | \(-0.453958\pi\) |
0.346732 | + | 0.937964i | \(0.387291\pi\) | |||||||
\(384\) | 7.94477 | + | 0.602036i | 0.405430 | + | 0.0307225i | ||||
\(385\) | −7.90990 | − | 2.90859i | −0.403126 | − | 0.148235i | ||||
\(386\) | 9.43034 | − | 29.0236i | 0.479991 | − | 1.47726i | ||||
\(387\) | 17.1307 | − | 11.2669i | 0.870803 | − | 0.572731i | ||||
\(388\) | 1.62049 | − | 0.526529i | 0.0822680 | − | 0.0267305i | ||||
\(389\) | −22.3540 | + | 4.75150i | −1.13339 | + | 0.240910i | −0.736161 | − | 0.676807i | \(-0.763363\pi\) |
−0.397234 | + | 0.917717i | \(0.630030\pi\) | |||||||
\(390\) | −0.373209 | − | 0.660255i | −0.0188982 | − | 0.0334333i | ||||
\(391\) | −1.11453 | − | 0.236900i | −0.0563640 | − | 0.0119805i | ||||
\(392\) | 0.556841 | − | 0.0585263i | 0.0281247 | − | 0.00295603i | ||||
\(393\) | 2.70567 | + | 20.1000i | 0.136483 | + | 1.01391i | ||||
\(394\) | 17.5526 | + | 7.81492i | 0.884287 | + | 0.393710i | ||||
\(395\) | 28.2352 | − | 11.2994i | 1.42066 | − | 0.568536i | ||||
\(396\) | 1.79444 | − | 1.47046i | 0.0901739 | − | 0.0738934i | ||||
\(397\) | 5.64077 | − | 7.76385i | 0.283102 | − | 0.389657i | −0.643656 | − | 0.765315i | \(-0.722583\pi\) |
0.926758 | + | 0.375658i | \(0.122583\pi\) | |||||||
\(398\) | −4.83069 | − | 22.7266i | −0.242141 | − | 1.13918i | ||||
\(399\) | −13.2431 | + | 32.2363i | −0.662982 | + | 1.61383i | ||||
\(400\) | −3.05910 | − | 12.6240i | −0.152955 | − | 0.631199i | ||||
\(401\) | −3.09035 | + | 5.35264i | −0.154325 | + | 0.267298i | −0.932813 | − | 0.360361i | \(-0.882653\pi\) |
0.778488 | + | 0.627659i | \(0.215987\pi\) | |||||||
\(402\) | 4.53410 | + | 12.6866i | 0.226140 | + | 0.632749i | ||||
\(403\) | −0.0973425 | − | 0.0102311i | −0.00484898 | − | 0.000509648i | ||||
\(404\) | 3.57543 | + | 2.59770i | 0.177884 | + | 0.129241i | ||||
\(405\) | −11.3920 | − | 16.5898i | −0.566075 | − | 0.824354i | ||||
\(406\) | 15.9099 | − | 11.5592i | 0.789595 | − | 0.573675i | ||||
\(407\) | 1.13834 | − | 0.657219i | 0.0564252 | − | 0.0325771i | ||||
\(408\) | 0.288893 | − | 0.985798i | 0.0143023 | − | 0.0488043i | ||||
\(409\) | 2.87866 | + | 0.611877i | 0.142340 | + | 0.0302554i | 0.278531 | − | 0.960427i | \(-0.410153\pi\) |
−0.136190 | + | 0.990683i | \(0.543486\pi\) | |||||||
\(410\) | −13.4695 | + | 7.10492i | −0.665212 | + | 0.350887i | ||||
\(411\) | 27.1713 | + | 23.0702i | 1.34026 | + | 1.13797i | ||||
\(412\) | 0.220585 | + | 0.198616i | 0.0108674 | + | 0.00978509i | ||||
\(413\) | 15.1497 | − | 4.92242i | 0.745466 | − | 0.242216i | ||||
\(414\) | −17.9404 | − | 11.5029i | −0.881724 | − | 0.565338i | ||||
\(415\) | −32.6932 | + | 2.17766i | −1.60484 | + | 0.106897i | ||||
\(416\) | −0.327833 | + | 0.364095i | −0.0160733 | + | 0.0178512i | ||||
\(417\) | 1.08969 | + | 1.14163i | 0.0533625 | + | 0.0559060i | ||||
\(418\) | 11.0113 | + | 6.35739i | 0.538581 | + | 0.310950i | ||||
\(419\) | −0.638257 | − | 6.07261i | −0.0311809 | − | 0.296666i | −0.998988 | − | 0.0449739i | \(-0.985680\pi\) |
0.967807 | − | 0.251692i | \(-0.0809871\pi\) | |||||||
\(420\) | 5.67058 | + | 0.648354i | 0.276696 | + | 0.0316364i | ||||
\(421\) | −0.139754 | + | 1.32967i | −0.00681119 | + | 0.0648041i | −0.997400 | − | 0.0720709i | \(-0.977039\pi\) |
0.990588 | + | 0.136875i | \(0.0437059\pi\) | |||||||
\(422\) | −2.14561 | + | 2.95318i | −0.104447 | + | 0.143759i | ||||
\(423\) | −0.655940 | − | 0.0305538i | −0.0318929 | − | 0.00148558i | ||||
\(424\) | −39.9443 | −1.93987 | ||||||||
\(425\) | −0.965367 | + | 0.0273291i | −0.0468272 | + | 0.00132566i | ||||
\(426\) | 2.84558 | − | 6.92672i | 0.137869 | − | 0.335601i | ||||
\(427\) | −28.0929 | + | 25.2949i | −1.35951 | + | 1.22411i | ||||
\(428\) | 0.150213 | + | 0.337383i | 0.00726081 | + | 0.0163080i | ||||
\(429\) | −0.0115200 | − | 0.395949i | −0.000556193 | − | 0.0191166i | ||||
\(430\) | 6.35143 | − | 17.2727i | 0.306293 | − | 0.832965i | ||||
\(431\) | −26.8953 | + | 19.5406i | −1.29550 | + | 0.941237i | −0.999901 | − | 0.0140751i | \(-0.995520\pi\) |
−0.295600 | + | 0.955312i | \(0.595520\pi\) | |||||||
\(432\) | 8.12392 | − | 10.7807i | 0.390862 | − | 0.518685i | ||||
\(433\) | −6.84957 | − | 9.42763i | −0.329169 | − | 0.453063i | 0.612070 | − | 0.790804i | \(-0.290337\pi\) |
−0.941239 | + | 0.337741i | \(0.890337\pi\) | |||||||
\(434\) | −1.29976 | + | 1.44353i | −0.0623905 | + | 0.0692917i | ||||
\(435\) | 21.6468 | − | 9.40210i | 1.03788 | − | 0.450796i | ||||
\(436\) | 5.14538 | + | 5.71453i | 0.246419 | + | 0.273676i | ||||
\(437\) | −9.20838 | + | 43.3220i | −0.440496 | + | 2.07237i | ||||
\(438\) | −1.83364 | + | 24.1976i | −0.0876146 | + | 1.15621i | ||||
\(439\) | 21.7048 | − | 4.61349i | 1.03591 | − | 0.220190i | 0.341586 | − | 0.939851i | \(-0.389036\pi\) |
0.694326 | + | 0.719661i | \(0.255703\pi\) | |||||||
\(440\) | 2.36693 | − | 9.36144i | 0.112839 | − | 0.446289i | ||||
\(441\) | 0.245512 | − | 0.488848i | 0.0116910 | − | 0.0232785i | ||||
\(442\) | −0.0222324 | − | 0.0306003i | −0.00105749 | − | 0.00145551i | ||||
\(443\) | 6.90522 | − | 3.98673i | 0.328077 | − | 0.189415i | −0.326910 | − | 0.945055i | \(-0.606007\pi\) |
0.654987 | + | 0.755640i | \(0.272674\pi\) | |||||||
\(444\) | −0.643930 | + | 0.614634i | −0.0305596 | + | 0.0291692i | ||||
\(445\) | 24.1374 | − | 4.17393i | 1.14422 | − | 0.197863i | ||||
\(446\) | 20.0417 | − | 8.92314i | 0.949002 | − | 0.422523i | ||||
\(447\) | −17.4411 | + | 32.3465i | −0.824938 | + | 1.52993i | ||||
\(448\) | 4.91662 | + | 23.1309i | 0.232289 | + | 1.09283i | ||||
\(449\) | 19.4821 | 0.919419 | 0.459710 | − | 0.888069i | \(-0.347953\pi\) | ||||
0.459710 | + | 0.888069i | \(0.347953\pi\) | |||||||
\(450\) | −17.0744 | − | 5.89429i | −0.804893 | − | 0.277860i | ||||
\(451\) | −7.95358 | −0.374520 | ||||||||
\(452\) | 0.423362 | + | 1.99176i | 0.0199133 | + | 0.0936847i | ||||
\(453\) | 4.84699 | + | 7.85821i | 0.227732 | + | 0.369211i | ||||
\(454\) | 9.30801 | − | 4.14419i | 0.436847 | − | 0.194497i | ||||
\(455\) | 0.679266 | − | 0.698768i | 0.0318445 | − | 0.0327587i | ||||
\(456\) | −38.3183 | − | 11.2294i | −1.79442 | − | 0.525863i | ||||
\(457\) | 15.0307 | − | 8.67800i | 0.703108 | − | 0.405940i | −0.105396 | − | 0.994430i | \(-0.533611\pi\) |
0.808504 | + | 0.588491i | \(0.200278\pi\) | |||||||
\(458\) | −6.92373 | − | 9.52970i | −0.323525 | − | 0.445293i | ||||
\(459\) | −0.658443 | − | 0.757462i | −0.0307335 | − | 0.0353553i | ||||
\(460\) | 7.23739 | − | 0.482076i | 0.337445 | − | 0.0224769i | ||||
\(461\) | −29.1923 | + | 6.20502i | −1.35962 | + | 0.288997i | −0.829302 | − | 0.558801i | \(-0.811262\pi\) |
−0.530320 | + | 0.847798i | \(0.677928\pi\) | |||||||
\(462\) | −6.49152 | − | 4.43377i | −0.302013 | − | 0.206278i | ||||
\(463\) | 2.42807 | − | 11.4232i | 0.112842 | − | 0.530879i | −0.885022 | − | 0.465549i | \(-0.845857\pi\) |
0.997864 | − | 0.0653297i | \(-0.0208099\pi\) | |||||||
\(464\) | 10.5926 | + | 11.7643i | 0.491750 | + | 0.546143i | ||||
\(465\) | −1.89833 | + | 1.35293i | −0.0880330 | + | 0.0627408i | ||||
\(466\) | 2.05123 | − | 2.27812i | 0.0950214 | − | 0.105532i | ||||
\(467\) | −8.44207 | − | 11.6195i | −0.390652 | − | 0.537687i | 0.567715 | − | 0.823225i | \(-0.307828\pi\) |
−0.958367 | + | 0.285538i | \(0.907828\pi\) | |||||||
\(468\) | 0.0709367 | + | 0.258714i | 0.00327905 | + | 0.0119591i | ||||
\(469\) | −14.0048 | + | 10.1751i | −0.646680 | + | 0.469840i | ||||
\(470\) | −0.489709 | + | 0.327965i | −0.0225886 | + | 0.0151279i | ||||
\(471\) | −18.4805 | − | 9.96465i | −0.851536 | − | 0.459147i | ||||
\(472\) | 7.42332 | + | 16.6731i | 0.341686 | + | 0.767439i | ||||
\(473\) | 7.14296 | − | 6.43155i | 0.328434 | − | 0.295723i | ||||
\(474\) | 28.1142 | − | 3.78447i | 1.29133 | − | 0.173826i | ||||
\(475\) | 1.06229 | + | 37.5242i | 0.0487414 | + | 1.72173i | ||||
\(476\) | 0.284642 | 0.0130465 | ||||||||
\(477\) | −21.0645 | + | 32.8530i | −0.964476 | + | 1.50424i | ||||
\(478\) | −7.46831 | + | 10.2792i | −0.341592 | + | 0.470162i | ||||
\(479\) | −0.537542 | + | 5.11437i | −0.0245609 | + | 0.233682i | 0.975354 | + | 0.220645i | \(0.0708164\pi\) |
−0.999915 | + | 0.0130363i | \(0.995850\pi\) | |||||||
\(480\) | −0.106443 | + | 11.6681i | −0.00485841 | + | 0.532571i | ||||
\(481\) | 0.0158874 | + | 0.151159i | 0.000724403 | + | 0.00689224i | ||||
\(482\) | −3.20568 | − | 1.85080i | −0.146015 | − | 0.0843016i | ||||
\(483\) | 7.70088 | − | 26.2780i | 0.350402 | − | 1.19569i | ||||
\(484\) | −3.31965 | + | 3.68684i | −0.150893 | + | 0.167584i | ||||
\(485\) | −2.57433 | − | 6.43278i | −0.116895 | − | 0.292098i | ||||
\(486\) | −6.52263 | − | 17.6021i | −0.295873 | − | 0.798448i | ||||
\(487\) | 38.7356 | − | 12.5860i | 1.75528 | − | 0.570324i | 0.758584 | − | 0.651575i | \(-0.225892\pi\) |
0.996694 | + | 0.0812511i | \(0.0258916\pi\) | |||||||
\(488\) | −32.1873 | − | 28.9816i | −1.45705 | − | 1.31194i | ||||
\(489\) | 0.871975 | − | 0.311638i | 0.0394321 | − | 0.0140927i | ||||
\(490\) | −0.0836640 | − | 0.483820i | −0.00377956 | − | 0.0218568i | ||||
\(491\) | −39.2083 | − | 8.33398i | −1.76945 | − | 0.376107i | −0.796049 | − | 0.605232i | \(-0.793080\pi\) |
−0.973397 | + | 0.229125i | \(0.926414\pi\) | |||||||
\(492\) | 5.23392 | − | 1.27265i | 0.235963 | − | 0.0573757i | ||||
\(493\) | 1.01930 | − | 0.588493i | 0.0459070 | − | 0.0265044i | ||||
\(494\) | −1.18945 | + | 0.864183i | −0.0535157 | + | 0.0388814i | ||||
\(495\) | −6.45131 | − | 6.88345i | −0.289965 | − | 0.309388i | ||||
\(496\) | −1.26501 | − | 0.919080i | −0.0568004 | − | 0.0412679i | ||||
\(497\) | 9.56923 | + | 1.00577i | 0.429239 | + | 0.0451148i | ||||
\(498\) | −30.0673 | − | 5.48229i | −1.34735 | − | 0.245667i | ||||
\(499\) | 14.6136 | − | 25.3114i | 0.654193 | − | 1.13310i | −0.327903 | − | 0.944712i | \(-0.606342\pi\) |
0.982096 | − | 0.188384i | \(-0.0603249\pi\) | |||||||
\(500\) | 5.86550 | − | 1.84178i | 0.262313 | − | 0.0823667i | ||||
\(501\) | −18.7136 | + | 2.51904i | −0.836060 | + | 0.112543i | ||||
\(502\) | −5.97930 | − | 28.1304i | −0.266869 | − | 1.25552i | ||||
\(503\) | 4.96862 | − | 6.83872i | 0.221540 | − | 0.304923i | −0.683751 | − | 0.729715i | \(-0.739653\pi\) |
0.905291 | + | 0.424792i | \(0.139653\pi\) | |||||||
\(504\) | 23.0988 | + | 8.71306i | 1.02890 | + | 0.388110i | ||||
\(505\) | 9.57377 | − | 15.2092i | 0.426027 | − | 0.676803i | ||||
\(506\) | −9.12668 | − | 4.06346i | −0.405731 | − | 0.180643i | ||||
\(507\) | −20.7853 | − | 8.53885i | −0.923106 | − | 0.379223i | ||||
\(508\) | 7.82617 | − | 0.822564i | 0.347230 | − | 0.0364954i | ||||
\(509\) | −12.2912 | − | 2.61257i | −0.544797 | − | 0.115800i | −0.0727116 | − | 0.997353i | \(-0.523165\pi\) |
−0.472085 | + | 0.881553i | \(0.656499\pi\) | |||||||
\(510\) | −0.879402 | − | 0.195324i | −0.0389406 | − | 0.00864908i | ||||
\(511\) | −30.4993 | + | 6.48283i | −1.34921 | + | 0.286784i | ||||
\(512\) | −22.6169 | + | 7.34868i | −0.999536 | + | 0.324769i | ||||
\(513\) | −29.4428 | + | 25.5939i | −1.29993 | + | 1.13000i | ||||
\(514\) | 1.78380 | − | 5.48996i | 0.0786799 | − | 0.242152i | ||||
\(515\) | 0.746259 | − | 0.948694i | 0.0328841 | − | 0.0418045i | ||||
\(516\) | −3.67137 | + | 5.37528i | −0.161623 | + | 0.236634i | ||||
\(517\) | −0.306140 | + | 0.0321766i | −0.0134640 | + | 0.00141512i | ||||
\(518\) | 2.61224 | + | 1.50818i | 0.114775 | + | 0.0662656i | ||||
\(519\) | −4.29603 | − | 17.6679i | −0.188575 | − | 0.775533i | ||||
\(520\) | 0.877576 | + | 0.690317i | 0.0384843 | + | 0.0302724i | ||||
\(521\) | 15.5846 | + | 11.3229i | 0.682773 | + | 0.496063i | 0.874276 | − | 0.485429i | \(-0.161336\pi\) |
−0.191504 | + | 0.981492i | \(0.561336\pi\) | |||||||
\(522\) | 21.7225 | − | 3.57008i | 0.950770 | − | 0.156258i | ||||
\(523\) | 24.3250 | + | 7.90367i | 1.06366 | + | 0.345604i | 0.788015 | − | 0.615656i | \(-0.211109\pi\) |
0.275644 | + | 0.961260i | \(0.411109\pi\) | |||||||
\(524\) | −3.21939 | − | 5.57615i | −0.140640 | − | 0.243595i | ||||
\(525\) | 1.09812 | − | 23.1834i | 0.0479258 | − | 1.01181i | ||||
\(526\) | −14.0060 | + | 24.2591i | −0.610692 | + | 1.05775i | ||||
\(527\) | −0.0863949 | + | 0.0777903i | −0.00376342 | + | 0.00338860i | ||||
\(528\) | 3.00331 | − | 5.56995i | 0.130702 | − | 0.242401i | ||||
\(529\) | 1.23343 | − | 11.7353i | 0.0536273 | − | 0.510230i | ||||
\(530\) | 2.32805 | + | 34.9509i | 0.101124 | + | 1.51817i | ||||
\(531\) | 17.6277 | + | 2.68701i | 0.764979 | + | 0.116606i | ||||
\(532\) | − | 11.0641i | − | 0.479691i | ||||||
\(533\) | 0.374071 | − | 0.840178i | 0.0162028 | − | 0.0363922i | ||||
\(534\) | 22.7836 | + | 1.72649i | 0.985942 | + | 0.0747125i | ||||
\(535\) | 1.32832 | − | 0.700665i | 0.0574284 | − | 0.0302924i | ||||
\(536\) | −13.2714 | − | 14.7394i | −0.573238 | − | 0.636645i | ||||
\(537\) | 19.7106 | + | 13.4625i | 0.850576 | + | 0.580952i | ||||
\(538\) | 7.51767 | + | 6.76894i | 0.324110 | + | 0.291830i | ||||
\(539\) | 0.0792445 | − | 0.243890i | 0.00341330 | − | 0.0105051i | ||||
\(540\) | 5.34676 | + | 3.49744i | 0.230088 | + | 0.150506i | ||||
\(541\) | −11.8581 | − | 36.4956i | −0.509821 | − | 1.56907i | −0.792511 | − | 0.609858i | \(-0.791227\pi\) |
0.282690 | − | 0.959211i | \(-0.408773\pi\) | |||||||
\(542\) | −9.97222 | + | 22.3980i | −0.428343 | + | 0.962075i | ||||
\(543\) | 10.0877 | − | 7.78726i | 0.432905 | − | 0.334183i | ||||
\(544\) | 0.0608278 | + | 0.578738i | 0.00260797 | + | 0.0248132i | ||||
\(545\) | 21.7959 | − | 22.4216i | 0.933633 | − | 0.960437i | ||||
\(546\) | 0.773670 | − | 0.477204i | 0.0331100 | − | 0.0204225i | ||||
\(547\) | −31.0946 | − | 3.26818i | −1.32951 | − | 0.139737i | −0.587008 | − | 0.809581i | \(-0.699694\pi\) |
−0.742502 | + | 0.669844i | \(0.766361\pi\) | |||||||
\(548\) | −10.7623 | − | 3.49687i | −0.459741 | − | 0.149379i | ||||
\(549\) | −40.8104 | + | 11.1898i | −1.74174 | + | 0.477568i | ||||
\(550\) | −8.32913 | − | 1.52544i | −0.355155 | − | 0.0650449i | ||||
\(551\) | −22.8750 | − | 39.6206i | −0.974506 | − | 1.68789i | ||||
\(552\) | 30.8652 | + | 5.62779i | 1.31371 | + | 0.239535i | ||||
\(553\) | 14.8255 | + | 33.2986i | 0.630444 | + | 1.41600i | ||||
\(554\) | 11.2277 | − | 4.99887i | 0.477017 | − | 0.212382i | ||||
\(555\) | 2.66788 | + | 2.44661i | 0.113245 | + | 0.103853i | ||||
\(556\) | −0.457725 | − | 0.203792i | −0.0194119 | − | 0.00864272i | ||||
\(557\) | − | 24.3166i | − | 1.03033i | −0.857091 | − | 0.515165i | \(-0.827731\pi\) | ||
0.857091 | − | 0.515165i | \(-0.172269\pi\) | |||||||
\(558\) | −2.02542 | + | 0.791025i | −0.0857429 | + | 0.0334868i | ||||
\(559\) | 0.343452 | + | 1.05704i | 0.0145265 | + | 0.0447078i | ||||
\(560\) | 14.9791 | − | 4.24170i | 0.632982 | − | 0.179245i | ||||
\(561\) | −0.358649 | − | 0.304517i | −0.0151422 | − | 0.0128567i | ||||
\(562\) | −5.86984 | + | 27.6154i | −0.247604 | + | 1.16489i | ||||
\(563\) | 3.38628 | − | 15.9312i | 0.142715 | − | 0.671419i | −0.847376 | − | 0.530993i | \(-0.821819\pi\) |
0.990091 | − | 0.140427i | \(-0.0448475\pi\) | |||||||
\(564\) | 0.196309 | − | 0.0701595i | 0.00826610 | − | 0.00295425i | ||||
\(565\) | 7.96709 | − | 2.25608i | 0.335178 | − | 0.0949140i | ||||
\(566\) | −6.03750 | − | 18.5815i | −0.253775 | − | 0.781039i | ||||
\(567\) | 19.3473 | − | 14.4032i | 0.812509 | − | 0.604879i | ||||
\(568\) | 11.0243i | 0.462569i | ||||||||
\(569\) | −17.4967 | − | 7.79004i | −0.733500 | − | 0.326575i | 0.00577081 | − | 0.999983i | \(-0.498163\pi\) |
−0.739271 | + | 0.673408i | \(0.764830\pi\) | |||||||
\(570\) | −7.59230 | + | 34.1827i | −0.318007 | + | 1.43175i | ||||
\(571\) | 4.20374 | − | 1.87163i | 0.175921 | − | 0.0783251i | −0.316886 | − | 0.948464i | \(-0.602637\pi\) |
0.492807 | + | 0.870138i | \(0.335971\pi\) | |||||||
\(572\) | 0.0511499 | + | 0.114885i | 0.00213868 | + | 0.00480356i | ||||
\(573\) | −1.24994 | + | 1.47214i | −0.0522171 | + | 0.0614995i | ||||
\(574\) | −9.12590 | − | 15.8065i | −0.380908 | − | 0.659752i | ||||
\(575\) | −3.91201 | − | 29.2352i | −0.163142 | − | 1.21919i | ||||
\(576\) | −6.70253 | + | 25.6087i | −0.279272 | + | 1.06703i | ||||
\(577\) | −36.5521 | − | 11.8765i | −1.52168 | − | 0.494425i | −0.575429 | − | 0.817852i | \(-0.695165\pi\) |
−0.946253 | + | 0.323427i | \(0.895165\pi\) | |||||||
\(578\) | 20.3147 | + | 2.13516i | 0.844981 | + | 0.0888111i | ||||
\(579\) | 38.6354 | + | 20.8321i | 1.60563 | + | 0.865753i | ||||
\(580\) | −5.22253 | + | 5.37247i | −0.216854 | + | 0.223080i | ||||
\(581\) | −4.10489 | − | 39.0554i | −0.170299 | − | 1.62029i | ||||
\(582\) | −0.862211 | − | 6.40522i | −0.0357398 | − | 0.265505i | ||||
\(583\) | −7.44112 | + | 16.7130i | −0.308180 | + | 0.692183i | ||||
\(584\) | −11.0397 | − | 33.9767i | −0.456826 | − | 1.40597i | ||||
\(585\) | 1.03055 | − | 0.357744i | 0.0426081 | − | 0.0147909i | ||||
\(586\) | 1.19404 | − | 3.67487i | 0.0493253 | − | 0.151808i | ||||
\(587\) | 19.3123 | + | 17.3889i | 0.797103 | + | 0.717715i | 0.963314 | − | 0.268375i | \(-0.0864868\pi\) |
−0.166211 | + | 0.986090i | \(0.553153\pi\) | |||||||
\(588\) | −0.0131227 | + | 0.173173i | −0.000541171 | + | 0.00714155i | ||||
\(589\) | 3.02374 | + | 3.35820i | 0.124591 | + | 0.138372i | ||||
\(590\) | 14.1561 | − | 7.46709i | 0.582798 | − | 0.307415i | ||||
\(591\) | −15.5868 | + | 22.8207i | −0.641153 | + | 0.938717i | ||||
\(592\) | −0.987594 | + | 2.21817i | −0.0405898 | + | 0.0911663i | ||||
\(593\) | 32.5216i | 1.33550i | 0.744385 | + | 0.667750i | \(0.232743\pi\) | ||||
−0.744385 | + | 0.667750i | \(0.767257\pi\) | |||||||
\(594\) | −4.26620 | − | 7.69656i | −0.175044 | − | 0.315794i | ||||
\(595\) | −0.0769285 | − | 1.15492i | −0.00315376 | − | 0.0473473i | ||||
\(596\) | 1.21952 | − | 11.6029i | 0.0499534 | − | 0.475275i | ||||
\(597\) | 33.4045 | − | 0.971898i | 1.36716 | − | 0.0397771i | ||||
\(598\) | 0.858489 | − | 0.772987i | 0.0351062 | − | 0.0316098i | ||||
\(599\) | 5.00962 | − | 8.67692i | 0.204688 | − | 0.354529i | −0.745346 | − | 0.666678i | \(-0.767715\pi\) |
0.950033 | + | 0.312149i | \(0.101049\pi\) | |||||||
\(600\) | 26.5483 | − | 1.52524i | 1.08383 | − | 0.0622678i | ||||
\(601\) | 6.09862 | + | 10.5631i | 0.248768 | + | 0.430878i | 0.963184 | − | 0.268842i | \(-0.0866411\pi\) |
−0.714416 | + | 0.699721i | \(0.753308\pi\) | |||||||
\(602\) | 20.9775 | + | 6.81601i | 0.854980 | + | 0.277800i | ||||
\(603\) | −19.1214 | + | 3.14258i | −0.778682 | + | 0.127976i | ||||
\(604\) | −2.37137 | − | 1.72290i | −0.0964899 | − | 0.0701040i | ||||
\(605\) | 15.8564 | + | 12.4729i | 0.644655 | + | 0.507097i | ||||
\(606\) | 12.1262 | − | 11.5745i | 0.492593 | − | 0.470182i | ||||
\(607\) | 18.1063 | + | 10.4537i | 0.734910 | + | 0.424301i | 0.820216 | − | 0.572054i | \(-0.193853\pi\) |
−0.0853054 | + | 0.996355i | \(0.527187\pi\) | |||||||
\(608\) | 22.4957 | − | 2.36440i | 0.912323 | − | 0.0958890i | ||||
\(609\) | 12.2515 | + | 25.4949i | 0.496457 | + | 1.03310i | ||||
\(610\) | −23.4827 | + | 29.8527i | −0.950786 | + | 1.20870i | ||||
\(611\) | 0.0109993 | − | 0.0338524i | 0.000444985 | − | 0.00136952i | ||||
\(612\) | 0.284738 | + | 0.143002i | 0.0115098 | + | 0.00578052i | ||||
\(613\) | −3.43863 | + | 1.11728i | −0.138885 | + | 0.0451265i | −0.377635 | − | 0.925955i | \(-0.623262\pi\) |
0.238750 | + | 0.971081i | \(0.423262\pi\) | |||||||
\(614\) | −19.4671 | + | 4.13787i | −0.785630 | + | 0.166991i | ||||
\(615\) | −6.57829 | − | 20.8925i | −0.265262 | − | 0.842466i | ||||
\(616\) | 11.3201 | + | 2.40617i | 0.456101 | + | 0.0969472i | ||||
\(617\) | 5.85144 | − | 0.615011i | 0.235570 | − | 0.0247594i | 0.0139922 | − | 0.999902i | \(-0.495546\pi\) |
0.221578 | + | 0.975143i | \(0.428879\pi\) | |||||||
\(618\) | 0.891232 | − | 0.687991i | 0.0358506 | − | 0.0276751i | ||||
\(619\) | −25.2160 | − | 11.2269i | −1.01352 | − | 0.451247i | −0.168338 | − | 0.985729i | \(-0.553840\pi\) |
−0.845180 | + | 0.534482i | \(0.820507\pi\) | |||||||
\(620\) | 0.394247 | − | 0.626315i | 0.0158333 | − | 0.0251534i | ||||
\(621\) | 20.9054 | − | 22.4179i | 0.838903 | − | 0.899601i | ||||
\(622\) | −13.3102 | + | 18.3199i | −0.533689 | + | 0.734559i | ||||
\(623\) | 6.10401 | + | 28.7171i | 0.244552 | + | 1.15053i | ||||
\(624\) | 0.447131 | + | 0.579219i | 0.0178996 | + | 0.0231873i | ||||
\(625\) | −9.05817 | − | 23.3013i | −0.362327 | − | 0.932051i | ||||
\(626\) | −1.90382 | + | 3.29752i | −0.0760921 | + | 0.131795i | ||||
\(627\) | −11.8367 | + | 13.9408i | −0.472711 | + | 0.556743i | ||||
\(628\) | 6.62910 | + | 0.696747i | 0.264530 | + | 0.0278032i | ||||
\(629\) | 0.146050 | + | 0.106112i | 0.00582340 | + | 0.00423095i | ||||
\(630\) | 6.27760 | − | 20.7190i | 0.250106 | − | 0.825466i | ||||
\(631\) | −5.50355 | + | 3.99857i | −0.219093 | + | 0.159180i | −0.691918 | − | 0.721976i | \(-0.743234\pi\) |
0.472825 | + | 0.881156i | \(0.343234\pi\) | |||||||
\(632\) | −36.1672 | + | 20.8811i | −1.43865 | + | 0.830607i | ||||
\(633\) | −3.62518 | − | 3.79797i | −0.144088 | − | 0.150956i | ||||
\(634\) | −0.472460 | − | 0.100424i | −0.0187638 | − | 0.00398836i | ||||
\(635\) | −5.45266 | − | 31.5321i | −0.216382 | − | 1.25131i | ||||
\(636\) | 2.22244 | − | 12.1888i | 0.0881253 | − | 0.483318i | ||||
\(637\) | 0.0220363 | + | 0.0198416i | 0.000873110 | + | 0.000786152i | ||||
\(638\) | 9.81466 | − | 3.18898i | 0.388566 | − | 0.126253i | ||||
\(639\) | 9.06716 | + | 5.81362i | 0.358691 | + | 0.229983i | ||||
\(640\) | 3.82171 | + | 9.54974i | 0.151066 | + | 0.377486i | ||||
\(641\) | 1.26962 | − | 1.41006i | 0.0501471 | − | 0.0556940i | −0.717549 | − | 0.696508i | \(-0.754736\pi\) |
0.767696 | + | 0.640814i | \(0.221403\pi\) | |||||||
\(642\) | 1.36117 | − | 0.330976i | 0.0537212 | − | 0.0130626i | ||||
\(643\) | −13.7142 | − | 7.91791i | −0.540836 | − | 0.312252i | 0.204581 | − | 0.978850i | \(-0.434417\pi\) |
−0.745418 | + | 0.666598i | \(0.767750\pi\) | |||||||
\(644\) | 0.908711 | + | 8.64581i | 0.0358082 | + | 0.340693i | ||||
\(645\) | 22.8022 | + | 13.4437i | 0.897838 | + | 0.529345i | ||||
\(646\) | −0.182536 | + | 1.73671i | −0.00718177 | + | 0.0683300i | ||||
\(647\) | −1.30998 | + | 1.80303i | −0.0515007 | + | 0.0708846i | −0.833991 | − | 0.551779i | \(-0.813949\pi\) |
0.782490 | + | 0.622663i | \(0.213949\pi\) | |||||||
\(648\) | 18.7291 | + | 20.3207i | 0.735750 | + | 0.798271i | ||||
\(649\) | 8.35902 | 0.328120 | ||||||||
\(650\) | 0.552874 | − | 0.808105i | 0.0216855 | − | 0.0316965i | ||||
\(651\) | −1.70726 | − | 2.21160i | −0.0669127 | − | 0.0866795i | ||||
\(652\) | −0.218468 | + | 0.196710i | −0.00855588 | + | 0.00770375i | ||||
\(653\) | 0.410721 | + | 0.922493i | 0.0160727 | + | 0.0361000i | 0.921403 | − | 0.388607i | \(-0.127044\pi\) |
−0.905331 | + | 0.424707i | \(0.860377\pi\) | |||||||
\(654\) | 24.8250 | − | 15.3122i | 0.970736 | − | 0.598756i | ||||
\(655\) | −21.7549 | + | 14.5696i | −0.850036 | + | 0.569282i | ||||
\(656\) | 11.8863 | − | 8.63588i | 0.464081 | − | 0.337174i | ||||
\(657\) | −33.7665 | − | 8.83766i | −1.31736 | − | 0.344790i | ||||
\(658\) | −0.415209 | − | 0.571486i | −0.0161865 | − | 0.0222788i | ||||
\(659\) | 9.81851 | − | 10.9046i | 0.382475 | − | 0.424782i | −0.520910 | − | 0.853611i | \(-0.674407\pi\) |
0.903385 | + | 0.428830i | \(0.141074\pi\) | |||||||
\(660\) | 2.72490 | + | 1.24311i | 0.106067 | + | 0.0483881i | ||||
\(661\) | 21.1903 | + | 23.5343i | 0.824209 | + | 0.915377i | 0.997583 | − | 0.0694791i | \(-0.0221337\pi\) |
−0.173374 | + | 0.984856i | \(0.555467\pi\) | |||||||
\(662\) | −6.05211 | + | 28.4729i | −0.235222 | + | 1.10663i | ||||
\(663\) | 0.0490356 | − | 0.0235640i | 0.00190438 | − | 0.000915149i | ||||
\(664\) | 44.0108 | − | 9.35479i | 1.70795 | − | 0.363036i | ||||
\(665\) | −44.8923 | + | 2.99024i | −1.74085 | + | 0.115956i | ||||
\(666\) | 1.85542 | + | 2.82106i | 0.0718962 | + | 0.109314i | ||||
\(667\) | 21.1292 | + | 29.0818i | 0.818126 | + | 1.12605i | ||||
\(668\) | 5.19152 | − | 2.99733i | 0.200866 | − | 0.115970i | ||||
\(669\) | 7.45544 | + | 30.6612i | 0.288244 | + | 1.18543i | ||||
\(670\) | −12.1234 | + | 12.4714i | −0.468366 | + | 0.481813i | ||||
\(671\) | −18.1222 | + | 8.06854i | −0.699601 | + | 0.311483i | ||||
\(672\) | −13.9792 | + | 0.406720i | −0.539258 | + | 0.0156896i | ||||
\(673\) | −8.41881 | − | 39.6074i | −0.324521 | − | 1.52675i | −0.773840 | − | 0.633382i | \(-0.781666\pi\) |
0.449318 | − | 0.893372i | \(-0.351667\pi\) | |||||||
\(674\) | 40.2134 | 1.54896 | ||||||||
\(675\) | 12.7457 | − | 22.6395i | 0.490581 | − | 0.871395i | ||||
\(676\) | 7.13392 | 0.274381 | ||||||||
\(677\) | 0.524831 | + | 2.46914i | 0.0201709 | + | 0.0948967i | 0.987082 | − | 0.160219i | \(-0.0512199\pi\) |
−0.966911 | + | 0.255115i | \(0.917887\pi\) | |||||||
\(678\) | 7.72046 | − | 0.224625i | 0.296502 | − | 0.00862667i | ||||
\(679\) | 7.58638 | − | 3.37767i | 0.291138 | − | 0.129623i | ||||
\(680\) | 1.30679 | − | 0.225975i | 0.0501130 | − | 0.00866575i | ||||
\(681\) | 3.46254 | + | 14.2401i | 0.132685 | + | 0.545681i | ||||
\(682\) | −0.882759 | + | 0.509661i | −0.0338026 | + | 0.0195159i | ||||
\(683\) | 12.8169 | + | 17.6409i | 0.490425 | + | 0.675012i | 0.980466 | − | 0.196687i | \(-0.0630184\pi\) |
−0.490042 | + | 0.871699i | \(0.663018\pi\) | |||||||
\(684\) | 5.55855 | − | 11.0679i | 0.212536 | − | 0.423190i | ||||
\(685\) | −11.2798 | + | 44.6126i | −0.430978 | + | 1.70456i | ||||
\(686\) | −21.5216 | + | 4.57455i | −0.821698 | + | 0.174657i | ||||
\(687\) | 15.2709 | − | 7.33840i | 0.582621 | − | 0.279977i | ||||
\(688\) | −3.69155 | + | 17.3674i | −0.140739 | + | 0.662125i | ||||
\(689\) | −1.41551 | − | 1.57209i | −0.0539268 | − | 0.0598918i | ||||
\(690\) | 3.12537 | − | 27.3348i | 0.118981 | − | 1.04062i | ||||
\(691\) | 8.57457 | − | 9.52302i | 0.326192 | − | 0.362273i | −0.557635 | − | 0.830086i | \(-0.688291\pi\) |
0.883827 | + | 0.467813i | \(0.154958\pi\) | |||||||
\(692\) | 3.39301 | + | 4.67007i | 0.128983 | + | 0.177529i | ||||
\(693\) | 7.94862 | − | 8.04158i | 0.301943 | − | 0.305474i | ||||
\(694\) | −3.64755 | + | 2.65010i | −0.138459 | + | 0.100596i | ||||
\(695\) | −0.703173 | + | 1.91228i | −0.0266729 | + | 0.0725369i | ||||
\(696\) | −27.5834 | + | 17.0136i | −1.04554 | + | 0.644898i | ||||
\(697\) | −0.444305 | − | 0.997924i | −0.0168292 | − | 0.0377991i | ||||
\(698\) | 15.5310 | − | 13.9842i | 0.587859 | − | 0.529310i | ||||
\(699\) | 2.69432 | + | 3.49026i | 0.101909 | + | 0.132014i | ||||
\(700\) | 2.47435 | + | 6.94051i | 0.0935217 | + | 0.262327i | ||||
\(701\) | 48.5879 | 1.83514 | 0.917569 | − | 0.397577i | \(-0.130149\pi\) | ||||
0.917569 | + | 0.397577i | \(0.130149\pi\) | |||||||
\(702\) | 1.01367 | − | 0.0886781i | 0.0382587 | − | 0.00334694i | ||||
\(703\) | 4.12460 | − | 5.67702i | 0.155562 | − | 0.214113i | ||||
\(704\) | −1.29712 | + | 12.3413i | −0.0488872 | + | 0.465130i | ||||
\(705\) | −0.337725 | − | 0.777555i | −0.0127195 | − | 0.0292844i | ||||
\(706\) | 0.695382 | + | 6.61612i | 0.0261711 | + | 0.249001i | ||||
\(707\) | 18.6537 | + | 10.7697i | 0.701545 | + | 0.405037i | ||||
\(708\) | −5.50072 | + | 1.33753i | −0.206730 | + | 0.0502674i | ||||
\(709\) | −5.03486 | + | 5.59178i | −0.189088 | + | 0.210004i | −0.830233 | − | 0.557416i | \(-0.811793\pi\) |
0.641145 | + | 0.767420i | \(0.278460\pi\) | |||||||
\(710\) | 9.64617 | − | 0.642523i | 0.362014 | − | 0.0241135i | ||||
\(711\) | −1.89852 | + | 40.7580i | −0.0712001 | + | 1.52855i | ||||
\(712\) | −31.9912 | + | 10.3946i | −1.19892 | + | 0.389554i | ||||
\(713\) | −2.63864 | − | 2.37584i | −0.0988179 | − | 0.0889761i | ||||
\(714\) | 0.193668 | − | 1.06216i | 0.00724785 | − | 0.0397504i | ||||
\(715\) | 0.452316 | − | 0.238588i | 0.0169157 | − | 0.00892268i | ||||
\(716\) | −7.41233 | − | 1.57554i | −0.277012 | − | 0.0588806i | ||||
\(717\) | −12.6183 | − | 13.2197i | −0.471239 | − | 0.493701i | ||||
\(718\) | 14.5199 | − | 8.38310i | 0.541880 | − | 0.312854i | ||||
\(719\) | −35.5528 | + | 25.8307i | −1.32590 | + | 0.963321i | −0.326059 | + | 0.945349i | \(0.605721\pi\) |
−0.999839 | + | 0.0179714i | \(0.994279\pi\) | |||||||
\(720\) | 17.1151 | + | 3.28227i | 0.637843 | + | 0.122323i | ||||
\(721\) | 1.17037 | + | 0.850325i | 0.0435869 | + | 0.0316678i | ||||
\(722\) | 44.7520 | + | 4.70362i | 1.66550 | + | 0.175051i | ||||
\(723\) | 3.44596 | − | 4.05853i | 0.128157 | − | 0.150938i | ||||
\(724\) | −2.02291 | + | 3.50378i | −0.0751807 | + | 0.130217i | ||||
\(725\) | 23.2100 | + | 19.7382i | 0.862000 | + | 0.733059i | ||||
\(726\) | 11.4990 | + | 14.8960i | 0.426770 | + | 0.552842i | ||||
\(727\) | −7.73183 | − | 36.3754i | −0.286758 | − | 1.34909i | −0.851731 | − | 0.523979i | \(-0.824447\pi\) |
0.564973 | − | 0.825109i | \(-0.308886\pi\) | |||||||
\(728\) | −0.786582 | + | 1.08264i | −0.0291527 | + | 0.0401252i | ||||
\(729\) | 26.5899 | − | 4.68814i | 0.984810 | − | 0.173635i | ||||
\(730\) | −29.0859 | + | 11.6399i | −1.07652 | + | 0.430811i | ||||
\(731\) | 1.20598 | + | 0.536936i | 0.0446047 | + | 0.0198593i | ||||
\(732\) | 10.6344 | − | 8.20931i | 0.393060 | − | 0.303425i | ||||
\(733\) | −5.49330 | + | 0.577369i | −0.202900 | + | 0.0213256i | −0.205433 | − | 0.978671i | \(-0.565860\pi\) |
0.00253335 | + | 0.999997i | \(0.499194\pi\) | |||||||
\(734\) | −43.2140 | − | 9.18541i | −1.59506 | − | 0.339040i | ||||
\(735\) | 0.706192 | + | 0.00644228i | 0.0260483 | + | 0.000237627i | ||||
\(736\) | −17.3846 | + | 3.69521i | −0.640804 | + | 0.136207i | ||||
\(737\) | −8.63939 | + | 2.80711i | −0.318236 | + | 0.103401i | ||||
\(738\) | −1.18788 | − | 20.3966i | −0.0437263 | − | 0.750811i | ||||
\(739\) | 13.0729 | − | 40.2342i | 0.480894 | − | 1.48004i | −0.356946 | − | 0.934125i | \(-0.616182\pi\) |
0.837840 | − | 0.545915i | \(-0.183818\pi\) | |||||||
\(740\) | −1.07861 | − | 0.396619i | −0.0396504 | − | 0.0145800i | ||||
\(741\) | −0.915940 | − | 1.90603i | −0.0336479 | − | 0.0700198i | ||||
\(742\) | −41.7525 | + | 4.38836i | −1.53278 | + | 0.161102i | ||||
\(743\) | 16.0074 | + | 9.24189i | 0.587256 | + | 0.339052i | 0.764012 | − | 0.645203i | \(-0.223227\pi\) |
−0.176756 | + | 0.984255i | \(0.556560\pi\) | |||||||
\(744\) | 2.31559 | − | 2.21024i | 0.0848935 | − | 0.0810312i | ||||
\(745\) | −47.4081 | − | 1.81229i | −1.73690 | − | 0.0663972i | ||||
\(746\) | −18.2228 | − | 13.2397i | −0.667186 | − | 0.484739i | ||||
\(747\) | 15.5149 | − | 41.1308i | 0.567661 | − | 1.50490i | ||||
\(748\) | 0.142057 | + | 0.0461573i | 0.00519413 | + | 0.00168768i | ||||
\(749\) | 0.899969 | + | 1.55879i | 0.0328841 | + | 0.0569570i | ||||
\(750\) | −2.88187 | − | 23.1406i | −0.105231 | − | 0.844977i | ||||
\(751\) | 12.6388 | − | 21.8911i | 0.461197 | − | 0.798816i | −0.537824 | − | 0.843057i | \(-0.680754\pi\) |
0.999021 | + | 0.0442409i | \(0.0140869\pi\) | |||||||
\(752\) | 0.422575 | − | 0.380488i | 0.0154097 | − | 0.0138750i | ||||
\(753\) | 41.3472 | − | 1.20299i | 1.50678 | − | 0.0438393i | ||||
\(754\) | −0.124733 | + | 1.18676i | −0.00454251 | + | 0.0432191i | ||||
\(755\) | −6.34972 | + | 10.0874i | −0.231090 | + | 0.367118i | ||||
\(756\) | −3.94392 | + | 6.56369i | −0.143439 | + | 0.238719i | ||||
\(757\) | 14.6646i | 0.532993i | 0.963836 | + | 0.266497i | \(0.0858661\pi\) | ||||
−0.963836 | + | 0.266497i | \(0.914134\pi\) | |||||||
\(758\) | −0.937264 | + | 2.10513i | −0.0340430 | + | 0.0764617i | ||||
\(759\) | 8.10452 | − | 11.8659i | 0.294175 | − | 0.430705i | ||||
\(760\) | −8.78373 | − | 50.7953i | −0.318619 | − | 1.84254i | ||||
\(761\) | 6.68308 | + | 7.42231i | 0.242261 | + | 0.269059i | 0.851997 | − | 0.523546i | \(-0.175391\pi\) |
−0.609736 | + | 0.792605i | \(0.708725\pi\) | |||||||
\(762\) | 2.25542 | − | 29.7636i | 0.0817051 | − | 1.07822i | ||||
\(763\) | 27.8512 | + | 25.0774i | 1.00828 | + | 0.907861i | ||||
\(764\) | 0.189461 | − | 0.583100i | 0.00685444 | − | 0.0210958i | ||||
\(765\) | 0.503272 | − | 1.19396i | 0.0181958 | − | 0.0431678i | ||||
\(766\) | 3.59450 | + | 11.0627i | 0.129875 | + | 0.399713i | ||||
\(767\) | −0.393140 | + | 0.883006i | −0.0141954 | + | 0.0318835i | ||||
\(768\) | −2.79780 | − | 20.7844i | −0.100957 | − | 0.749993i | ||||
\(769\) | 1.93245 | + | 18.3860i | 0.0696860 | + | 0.663018i | 0.972487 | + | 0.232958i | \(0.0748406\pi\) |
−0.902801 | + | 0.430059i | \(0.858493\pi\) | |||||||
\(770\) | 1.44561 | − | 10.0452i | 0.0520962 | − | 0.362006i | ||||
\(771\) | 7.30808 | + | 3.94050i | 0.263194 | + | 0.141914i | ||||
\(772\) | −13.8588 | − | 1.45662i | −0.498790 | − | 0.0524250i | ||||
\(773\) | 3.41227 | + | 1.10871i | 0.122731 | + | 0.0398777i | 0.369739 | − | 0.929136i | \(-0.379447\pi\) |
−0.247008 | + | 0.969014i | \(0.579447\pi\) | |||||||
\(774\) | 17.5603 | + | 17.3573i | 0.631191 | + | 0.623894i | ||||
\(775\) | −2.64780 | − | 1.43037i | −0.0951119 | − | 0.0513805i | ||||
\(776\) | 4.75733 | + | 8.23993i | 0.170778 | + | 0.295796i | ||||
\(777\) | −2.80804 | + | 3.30721i | −0.100738 | + | 0.118646i | ||||
\(778\) | −11.1935 | − | 25.1411i | −0.401307 | − | 0.901350i | ||||
\(779\) | −38.7897 | + | 17.2703i | −1.38978 | + | 0.618772i | ||||
\(780\) | −0.259474 | + | 0.229380i | −0.00929064 | + | 0.00821312i | ||||
\(781\) | 4.61266 | + | 2.05369i | 0.165054 | + | 0.0734868i | ||||
\(782\) | − | 1.37211i | − | 0.0490664i | ||||||
\(783\) | −0.552816 | + | 31.6585i | −0.0197560 | + | 1.13138i | ||||
\(784\) | 0.146384 | + | 0.450524i | 0.00522801 | + | 0.0160902i | ||||
\(785\) | 1.03542 | − | 27.0857i | 0.0369556 | − | 0.966728i | ||||
\(786\) | −22.9982 | + | 8.21941i | −0.820320 | + | 0.293177i | ||||
\(787\) | 3.36327 | − | 15.8229i | 0.119888 | − | 0.564026i | −0.876668 | − | 0.481096i | \(-0.840239\pi\) |
0.996555 | − | 0.0829303i | \(-0.0264279\pi\) | |||||||
\(788\) | 1.82414 | − | 8.58189i | 0.0649822 | − | 0.305717i | ||||
\(789\) | −30.7131 | − | 26.0775i | −1.09342 | − | 0.928383i | ||||
\(790\) | 20.3787 | + | 30.4290i | 0.725043 | + | 1.08261i | ||||
\(791\) | 3.06676 | + | 9.43852i | 0.109041 | + | 0.335595i | ||||
\(792\) | 10.1151 | + | 8.09413i | 0.359424 | + | 0.287613i | ||||
\(793\) | − | 2.29382i | − | 0.0814561i | ||||||
\(794\) | 10.5573 | + | 4.70040i | 0.374664 | + | 0.166811i | ||||
\(795\) | −50.0563 | − | 5.72326i | −1.77531 | − | 0.202983i | ||||
\(796\) | −9.69232 | + | 4.31530i | −0.343535 | + | 0.152952i | ||||
\(797\) | −7.73579 | − | 17.3749i | −0.274016 | − | 0.615450i | 0.723149 | − | 0.690692i | \(-0.242694\pi\) |
−0.997165 | + | 0.0752419i | \(0.976027\pi\) | |||||||
\(798\) | −41.2866 | − | 7.52795i | −1.46153 | − | 0.266487i | ||||
\(799\) | −0.0211388 | − | 0.0366134i | −0.000747836 | − | 0.00129529i | ||||
\(800\) | −13.5828 | + | 6.51407i | −0.480224 | + | 0.230307i | ||||
\(801\) | −8.32122 | + | 31.7934i | −0.294016 | + | 1.12336i | ||||
\(802\) | −7.07857 | − | 2.29997i | −0.249953 | − | 0.0812146i | ||||
\(803\) | −16.2727 | − | 1.71033i | −0.574251 | − | 0.0603562i | ||||
\(804\) | 5.23606 | − | 3.22963i | 0.184661 | − | 0.113900i | ||||
\(805\) | 34.8345 | − | 6.02372i | 1.22775 | − | 0.212308i | ||||
\(806\) | −0.0123204 | − | 0.117221i | −0.000433967 | − | 0.00412892i | ||||
\(807\) | −11.5176 | + | 8.89111i | −0.405440 | + | 0.312982i | ||||
\(808\) | −10.0378 | + | 22.5452i | −0.353127 | + | 0.793137i | ||||
\(809\) | 3.06508 | + | 9.43335i | 0.107763 | + | 0.331659i | 0.990369 | − | 0.138454i | \(-0.0442133\pi\) |
−0.882606 | + | 0.470113i | \(0.844213\pi\) | |||||||
\(810\) | 16.6888 | − | 17.5722i | 0.586385 | − | 0.617423i | ||||
\(811\) | 8.46694 | − | 26.0585i | 0.297314 | − | 0.915039i | −0.685120 | − | 0.728430i | \(-0.740250\pi\) |
0.982434 | − | 0.186609i | \(-0.0597498\pi\) | |||||||
\(812\) | −6.67346 | − | 6.00881i | −0.234192 | − | 0.210868i | ||||
\(813\) | −29.1203 | − | 19.8895i | −1.02129 | − | 0.697554i | ||||
\(814\) | 1.05914 | + | 1.17629i | 0.0371228 | + | 0.0412290i | ||||
\(815\) | 0.857186 | + | 0.833263i | 0.0300259 | + | 0.0291879i | ||||
\(816\) | 0.866624 | + | 0.0656708i | 0.0303379 | + | 0.00229894i | ||||
\(817\) | 20.8709 | − | 46.8768i | 0.730181 | − | 1.64001i | ||||
\(818\) | 3.54395i | 0.123911i | ||||||||
\(819\) | 0.475636 | + | 1.21786i | 0.0166201 | + | 0.0425556i | ||||
\(820\) | 4.45223 | + | 5.34169i | 0.155479 | + | 0.186540i | ||||
\(821\) | 1.00345 | − | 9.54718i | 0.0350206 | − | 0.333199i | −0.962958 | − | 0.269651i | \(-0.913092\pi\) |
0.997979 | − | 0.0635480i | \(-0.0202416\pi\) | |||||||
\(822\) | −20.3714 | + | 37.7809i | −0.710534 | + | 1.31776i | ||||
\(823\) | −25.5845 | + | 23.0364i | −0.891819 | + | 0.802998i | −0.981199 | − | 0.193000i | \(-0.938178\pi\) |
0.0893794 | + | 0.995998i | \(0.471512\pi\) | |||||||
\(824\) | −0.828753 | + | 1.43544i | −0.0288710 | + | 0.0500060i | ||||
\(825\) | 4.30744 | − | 11.3922i | 0.149966 | − | 0.396624i | ||||
\(826\) | 9.59109 | + | 16.6123i | 0.333717 | + | 0.578014i | ||||
\(827\) | 25.3249 | + | 8.22855i | 0.880632 | + | 0.286135i | 0.714220 | − | 0.699922i | \(-0.246782\pi\) |
0.166412 | + | 0.986056i | \(0.446782\pi\) | |||||||
\(828\) | −3.43458 | + | 9.10525i | −0.119360 | + | 0.316429i | ||||
\(829\) | 28.0528 | + | 20.3815i | 0.974314 | + | 0.707880i | 0.956431 | − | 0.291960i | \(-0.0943073\pi\) |
0.0178831 | + | 0.999840i | \(0.494307\pi\) | |||||||
\(830\) | −10.7504 | − | 37.9639i | −0.373152 | − | 1.31775i | ||||
\(831\) | 4.17665 | + | 17.1769i | 0.144886 | + | 0.595859i | ||||
\(832\) | −1.24267 | − | 0.717456i | −0.0430818 | − | 0.0248733i | ||||
\(833\) | 0.0350272 | − | 0.00368151i | 0.00121362 | − | 0.000127557i | ||||
\(834\) | −1.07190 | + | 1.56937i | −0.0371168 | + | 0.0543430i | ||||
\(835\) | −13.5646 | − | 20.2543i | −0.469423 | − | 0.700931i | ||||
\(836\) | 1.79415 | − | 5.52182i | 0.0620519 | − | 0.190976i | ||||
\(837\) | −0.596738 | − | 3.07006i | −0.0206263 | − | 0.106117i | ||||
\(838\) | 6.99309 | − | 2.27219i | 0.241572 | − | 0.0784916i | ||||
\(839\) | −4.59725 | + | 0.977175i | −0.158715 | + | 0.0337358i | −0.286584 | − | 0.958055i | \(-0.592520\pi\) |
0.127869 | + | 0.991791i | \(0.459186\pi\) | |||||||
\(840\) | 3.04218 | + | 31.7258i | 0.104965 | + | 1.09465i | ||||
\(841\) | −7.95445 | − | 1.69077i | −0.274291 | − | 0.0583024i | ||||
\(842\) | −1.60120 | + | 0.168293i | −0.0551810 | + | 0.00579975i | ||||
\(843\) | −37.5614 | − | 15.4307i | −1.29368 | − | 0.531461i | ||||
\(844\) | 1.52275 | + | 0.677974i | 0.0524154 | + | 0.0233368i | ||||
\(845\) | −1.92804 | − | 28.9456i | −0.0663267 | − | 0.995759i | ||||
\(846\) | −0.128238 | − | 0.780277i | −0.00440891 | − | 0.0268265i | ||||
\(847\) | −14.2123 | + | 19.5615i | −0.488340 | + | 0.672142i | ||||
\(848\) | −7.02634 | − | 33.0563i | −0.241285 | − | 1.13516i | ||||
\(849\) | 27.8506 | − | 3.74898i | 0.955829 | − | 0.128665i | ||||
\(850\) | −0.273889 | − | 1.13026i | −0.00939431 | − | 0.0387675i | ||||
\(851\) | −2.75681 | + | 4.77494i | −0.0945023 | + | 0.163683i | ||||
\(852\) | −3.36401 | − | 0.613374i | −0.115249 | − | 0.0210138i | ||||
\(853\) | 18.6763 | + | 1.96296i | 0.639465 | + | 0.0672105i | 0.418712 | − | 0.908119i | \(-0.362482\pi\) |
0.220753 | + | 0.975330i | \(0.429148\pi\) | |||||||
\(854\) | −36.8283 | − | 26.7574i | −1.26024 | − | 0.915618i | ||||
\(855\) | −46.4097 | − | 19.5624i | −1.58718 | − | 0.669019i | ||||
\(856\) | −1.66841 | + | 1.21217i | −0.0570252 | + | 0.0414312i | ||||
\(857\) | 28.3893 | − | 16.3906i | 0.969759 | − | 0.559891i | 0.0705962 | − | 0.997505i | \(-0.477510\pi\) |
0.899163 | + | 0.437614i | \(0.144176\pi\) | |||||||
\(858\) | 0.463502 | − | 0.112703i | 0.0158237 | − | 0.00384761i | ||||
\(859\) | −9.26946 | − | 1.97028i | −0.316270 | − | 0.0672252i | 0.0470417 | − | 0.998893i | \(-0.485021\pi\) |
−0.363312 | + | 0.931668i | \(0.618354\pi\) | |||||||
\(860\) | −8.31794 | − | 1.19703i | −0.283639 | − | 0.0408185i | ||||
\(861\) | 24.7208 | − | 8.83504i | 0.842482 | − | 0.301097i | ||||
\(862\) | −29.7505 | − | 26.7875i | −1.01331 | − | 0.912384i | ||||
\(863\) | −32.4083 | + | 10.5301i | −1.10319 | + | 0.358449i | −0.803330 | − | 0.595534i | \(-0.796941\pi\) |
−0.299862 | + | 0.953983i | \(0.596941\pi\) | |||||||
\(864\) | −14.1882 | − | 6.61618i | −0.482692 | − | 0.225087i | ||||
\(865\) | 18.0316 | − | 15.0291i | 0.613094 | − | 0.511006i | ||||
\(866\) | 9.38982 | − | 10.4285i | 0.319079 | − | 0.354373i | ||||
\(867\) | −8.26252 | + | 28.1945i | −0.280610 | + | 0.957535i | ||||
\(868\) | 0.768158 | + | 0.443496i | 0.0260730 | + | 0.0150532i | ||||
\(869\) | 1.99935 | + | 19.0226i | 0.0678233 | + | 0.645296i | ||||
\(870\) | 16.4944 | + | 23.1436i | 0.559211 | + | 0.784642i | ||||
\(871\) | 0.109797 | − | 1.04465i | 0.00372032 | − | 0.0353965i | ||||
\(872\) | −25.2394 | + | 34.7390i | −0.854712 | + | 1.17641i | ||||
\(873\) | 9.28585 | + | 0.432538i | 0.314279 | + | 0.0146392i | ||||
\(874\) | −53.3342 | −1.80406 | ||||||||
\(875\) | 27.4921 | − | 11.9154i | 0.929404 | − | 0.402813i | ||||
\(876\) | 10.9820 | − | 1.47830i | 0.371049 | − | 0.0499471i | ||||
\(877\) | 20.0817 | − | 18.0816i | 0.678109 | − | 0.610572i | −0.256375 | − | 0.966577i | \(-0.582528\pi\) |
0.934484 | + | 0.356005i | \(0.115861\pi\) | |||||||
\(878\) | 10.8684 | + | 24.4108i | 0.366791 | + | 0.823826i | ||||
\(879\) | 4.89189 | + | 2.63770i | 0.164999 | + | 0.0889673i | ||||
\(880\) | 8.16351 | + | 0.312070i | 0.275192 | + | 0.0105199i | ||||
\(881\) | 44.5745 | − | 32.3853i | 1.50175 | − | 1.09109i | 0.532078 | − | 0.846695i | \(-0.321411\pi\) |
0.969676 | − | 0.244393i | \(-0.0785886\pi\) | |||||||
\(882\) | 0.637280 | + | 0.166794i | 0.0214583 | + | 0.00561625i | ||||
\(883\) | 23.9914 | + | 33.0214i | 0.807376 | + | 1.11126i | 0.991723 | + | 0.128396i | \(0.0409829\pi\) |
−0.184347 | + | 0.982861i | \(0.559017\pi\) | |||||||
\(884\) | −0.0115570 | + | 0.0128354i | −0.000388706 | + | 0.000431701i | ||||
\(885\) | 6.91362 | + | 21.9575i | 0.232399 | + | 0.738093i | ||||
\(886\) | 6.42480 | + | 7.13546i | 0.215845 | + | 0.239721i | ||||
\(887\) | 6.07787 | − | 28.5941i | 0.204075 | − | 0.960096i | −0.750211 | − | 0.661199i | \(-0.770048\pi\) |
0.954285 | − | 0.298897i | \(-0.0966188\pi\) | |||||||
\(888\) | −4.10477 | − | 2.80360i | −0.137747 | − | 0.0940826i | ||||
\(889\) | 37.5149 | − | 7.97403i | 1.25821 | − | 0.267440i | ||||
\(890\) | 10.9597 | + | 27.3862i | 0.367370 | + | 0.917989i | ||||
\(891\) | 11.9913 | − | 4.05095i | 0.401725 | − | 0.135712i | ||||
\(892\) | −5.88831 | − | 8.10456i | −0.197155 | − | 0.271361i | ||||
\(893\) | −1.42318 | + | 0.821672i | −0.0476248 | + | 0.0274962i | ||||
\(894\) | −42.4674 | − | 12.4453i | −1.42032 | − | 0.416232i | ||||
\(895\) | −4.38940 | + | 30.5011i | −0.146722 | + | 1.01954i | ||||
\(896\) | −11.2623 | + | 5.01430i | −0.376247 | + | 0.167516i | ||||
\(897\) | 0.872285 | + | 1.41420i | 0.0291247 | + | 0.0472186i | ||||
\(898\) | 4.87773 | + | 22.9479i | 0.162772 | + | 0.765781i | ||||
\(899\) | 3.66769 | 0.122324 | ||||||||
\(900\) | −1.01168 | + | 8.18594i | −0.0337228 | + | 0.272865i | ||||
\(901\) | −2.51264 | −0.0837081 | ||||||||
\(902\) | −1.99133 | − | 9.36848i | −0.0663041 | − | 0.311936i | ||||
\(903\) | −15.0569 | + | 27.9247i | −0.501063 | + | 0.929275i | ||||
\(904\) | −10.3876 | + | 4.62487i | −0.345487 | + | 0.153821i | ||||
\(905\) | 14.7632 | + | 7.26093i | 0.490744 | + | 0.241361i | ||||
\(906\) | −8.04260 | + | 7.67670i | −0.267198 | + | 0.255041i | ||||
\(907\) | 26.5281 | − | 15.3160i | 0.880851 | − | 0.508560i | 0.00991216 | − | 0.999951i | \(-0.496845\pi\) |
0.870939 | + | 0.491391i | \(0.163511\pi\) | |||||||
\(908\) | −2.73472 | − | 3.76402i | −0.0907548 | − | 0.124913i | ||||
\(909\) | 13.2494 | + | 20.1449i | 0.439453 | + | 0.668163i | ||||
\(910\) | 0.993142 | + | 0.625153i | 0.0329223 | + | 0.0207236i | ||||
\(911\) | 9.96400 | − | 2.11791i | 0.330122 | − | 0.0701696i | −0.0398691 | − | 0.999205i | \(-0.512694\pi\) |
0.369991 | + | 0.929035i | \(0.379361\pi\) | |||||||
\(912\) | 2.55265 | − | 33.6860i | 0.0845266 | − | 1.11545i | ||||
\(913\) | 4.28454 | − | 20.1572i | 0.141798 | − | 0.667105i | ||||
\(914\) | 13.9850 | + | 15.5319i | 0.462583 | + | 0.513750i | ||||
\(915\) | −36.1831 | − | 40.9302i | −1.19618 | − | 1.35311i | ||||
\(916\) | −3.59915 | + | 3.99726i | −0.118919 | + | 0.132073i | ||||
\(917\) | −18.4453 | − | 25.3878i | −0.609119 | − | 0.838380i | ||||
\(918\) | 0.727356 | − | 0.965221i | 0.0240063 | − | 0.0318570i | ||||
\(919\) | 21.8946 | − | 15.9074i | 0.722236 | − | 0.524735i | −0.164862 | − | 0.986317i | \(-0.552718\pi\) |
0.887098 | + | 0.461581i | \(0.152718\pi\) | |||||||
\(920\) | 11.0357 | + | 38.9714i | 0.363837 | + | 1.28485i | ||||
\(921\) | −0.832507 | − | 28.6136i | −0.0274320 | − | 0.942851i | ||||
\(922\) | −14.6177 | − | 32.8319i | −0.481409 | − | 1.08126i | ||||
\(923\) | −0.433884 | + | 0.390670i | −0.0142814 | + | 0.0128591i | ||||
\(924\) | −1.36406 | + | 3.32040i | −0.0448744 | + | 0.109233i | ||||
\(925\) | −1.31776 | + | 4.48360i | −0.0433277 | + | 0.147420i | ||||
\(926\) | 14.0632 | 0.462145 | ||||||||
\(927\) | 0.743568 | + | 1.43860i | 0.0244220 | + | 0.0472498i | ||||
\(928\) | 10.7911 | − | 14.8526i | 0.354234 | − | 0.487562i | ||||
\(929\) | 2.13333 | − | 20.2972i | 0.0699922 | − | 0.665931i | −0.902131 | − | 0.431462i | \(-0.857998\pi\) |
0.972123 | − | 0.234470i | \(-0.0753353\pi\) | |||||||
\(930\) | −2.06890 | − | 1.89730i | −0.0678418 | − | 0.0622149i | ||||
\(931\) | −0.143102 | − | 1.36152i | −0.00468997 | − | 0.0446221i | ||||
\(932\) | −1.21228 | − | 0.699908i | −0.0397094 | − | 0.0229262i | ||||
\(933\) | −22.4886 | − | 23.5605i | −0.736243 | − | 0.771336i | ||||
\(934\) | 11.5729 | − | 12.8530i | 0.378677 | − | 0.420564i | ||||
\(935\) | 0.148888 | − | 0.588867i | 0.00486917 | − | 0.0192580i | ||||
\(936\) | −1.33076 | + | 0.687828i | −0.0434971 | + | 0.0224824i | ||||
\(937\) | 19.4195 | − | 6.30978i | 0.634408 | − | 0.206132i | 0.0258811 | − | 0.999665i | \(-0.491761\pi\) |
0.608527 | + | 0.793533i | \(0.291761\pi\) | |||||||
\(938\) | −15.4915 | − | 13.9486i | −0.505815 | − | 0.455438i | ||||
\(939\) | −4.17480 | − | 3.54469i | −0.136240 | − | 0.115676i | ||||
\(940\) | 0.192980 | + | 0.187594i | 0.00629431 | + | 0.00611864i | ||||
\(941\) | 0.576816 | + | 0.122606i | 0.0188037 | + | 0.00399684i | 0.217304 | − | 0.976104i | \(-0.430274\pi\) |
−0.198500 | + | 0.980101i | \(0.563607\pi\) | |||||||
\(942\) | 7.11035 | − | 24.2629i | 0.231668 | − | 0.790528i | ||||
\(943\) | 28.8929 | − | 16.6813i | 0.940881 | − | 0.543218i | ||||
\(944\) | −12.4922 | + | 9.07609i | −0.406585 | + | 0.295402i | ||||
\(945\) | 27.6978 | + | 14.2284i | 0.901010 | + | 0.462850i | ||||
\(946\) | 9.36406 | + | 6.80339i | 0.304452 | + | 0.221197i | ||||
\(947\) | 26.8317 | + | 2.82012i | 0.871913 | + | 0.0916417i | 0.529907 | − | 0.848056i | \(-0.322227\pi\) |
0.342006 | + | 0.939698i | \(0.388894\pi\) | |||||||
\(948\) | −4.35949 | − | 12.1980i | −0.141590 | − | 0.396174i | ||||
\(949\) | 0.946005 | − | 1.63853i | 0.0307086 | − | 0.0531889i | ||||
\(950\) | −43.9335 | + | 10.6462i | −1.42539 | + | 0.345407i | ||||
\(951\) | 0.263997 | − | 0.642621i | 0.00856068 | − | 0.0208384i | ||||
\(952\) | 0.330469 | + | 1.55473i | 0.0107106 | + | 0.0503892i | ||||
\(953\) | −10.0812 | + | 13.8756i | −0.326563 | + | 0.449475i | −0.940457 | − | 0.339913i | \(-0.889602\pi\) |
0.613894 | + | 0.789388i | \(0.289602\pi\) | |||||||
\(954\) | −43.9712 | − | 16.5863i | −1.42362 | − | 0.537003i | ||||
\(955\) | −2.41711 | − | 0.611139i | −0.0782159 | − | 0.0197760i | ||||
\(956\) | 5.30031 | + | 2.35985i | 0.171424 | + | 0.0763230i | ||||
\(957\) | 1.98019 | + | 14.7105i | 0.0640106 | + | 0.475524i | ||||
\(958\) | −6.15877 | + | 0.647313i | −0.198981 | + | 0.0209137i | ||||
\(959\) | −53.9469 | − | 11.4668i | −1.74203 | − | 0.370281i | ||||
\(960\) | −33.4910 | + | 6.80002i | −1.08092 | + | 0.219470i | ||||
\(961\) | 29.9682 | − | 6.36994i | 0.966717 | − | 0.205482i | ||||
\(962\) | −0.174071 | + | 0.0565591i | −0.00561227 | + | 0.00182354i | ||||
\(963\) | 0.117145 | + | 2.01146i | 0.00377494 | + | 0.0648182i | ||||
\(964\) | −0.522323 | + | 1.60755i | −0.0168229 | + | 0.0517756i | ||||
\(965\) | −2.16464 | + | 56.6254i | −0.0696824 | + | 1.82283i | ||||
\(966\) | 32.8807 | + | 2.49163i | 1.05792 | + | 0.0801668i | ||||
\(967\) | −13.3682 | + | 1.40505i | −0.429892 | + | 0.0451835i | −0.317004 | − | 0.948424i | \(-0.602677\pi\) |
−0.112888 | + | 0.993608i | \(0.536010\pi\) | |||||||
\(968\) | −23.9919 | − | 13.8517i | −0.771129 | − | 0.445211i | ||||
\(969\) | −2.41036 | − | 0.706366i | −0.0774318 | − | 0.0226917i | ||||
\(970\) | 6.93260 | − | 4.64286i | 0.222592 | − | 0.149073i | ||||
\(971\) | −17.9377 | − | 13.0325i | −0.575648 | − | 0.418232i | 0.261505 | − | 0.965202i | \(-0.415781\pi\) |
−0.837152 | + | 0.546970i | \(0.815781\pi\) | |||||||
\(972\) | −7.24280 | + | 4.58450i | −0.232313 | + | 0.147048i | ||||
\(973\) | −2.32244 | − | 0.754607i | −0.0744541 | − | 0.0241916i | ||||
\(974\) | 24.5231 | + | 42.4753i | 0.785771 | + | 1.36100i | ||||
\(975\) | 1.00083 | + | 0.990811i | 0.0320521 | + | 0.0317314i | ||||
\(976\) | 18.3222 | − | 31.7349i | 0.586478 | − | 1.01581i | ||||
\(977\) | −15.5249 | + | 13.9787i | −0.496687 | + | 0.447219i | −0.879006 | − | 0.476812i | \(-0.841792\pi\) |
0.382318 | + | 0.924031i | \(0.375126\pi\) | |||||||
\(978\) | 0.585392 | + | 0.949069i | 0.0187188 | + | 0.0303479i | ||||
\(979\) | −1.61038 | + | 15.3218i | −0.0514681 | + | 0.489686i | ||||
\(980\) | −0.208157 | + | 0.0833025i | −0.00664934 | + | 0.00266100i | ||||
\(981\) | 15.2619 | + | 39.0781i | 0.487275 | + | 1.24767i | ||||
\(982\) | − | 48.2698i | − | 1.54035i | ||||||
\(983\) | −11.1398 | + | 25.0205i | −0.355306 | + | 0.798030i | 0.644145 | + | 0.764903i | \(0.277213\pi\) |
−0.999451 | + | 0.0331270i | \(0.989453\pi\) | |||||||
\(984\) | 13.0279 | + | 27.1105i | 0.415314 | + | 0.864250i | ||||
\(985\) | −35.3137 | − | 5.08199i | −1.12519 | − | 0.161926i | ||||
\(986\) | 0.948384 | + | 1.05329i | 0.0302027 | + | 0.0335435i | ||||
\(987\) | 0.915779 | − | 0.440076i | 0.0291496 | − | 0.0140078i | ||||
\(988\) | 0.498917 | + | 0.449227i | 0.0158727 | + | 0.0142918i | ||||
\(989\) | −12.4590 | + | 38.3450i | −0.396174 | + | 1.21930i | ||||
\(990\) | 6.49277 | − | 9.32236i | 0.206354 | − | 0.296284i | ||||
\(991\) | −4.58088 | − | 14.0985i | −0.145516 | − | 0.447854i | 0.851561 | − | 0.524256i | \(-0.175657\pi\) |
−0.997077 | + | 0.0764026i | \(0.975657\pi\) | |||||||
\(992\) | −0.737568 | + | 1.65660i | −0.0234178 | + | 0.0525973i | ||||
\(993\) | −38.7278 | − | 15.9098i | −1.22899 | − | 0.504884i | ||||
\(994\) | 1.21115 | + | 11.5233i | 0.0384154 | + | 0.365498i | ||||
\(995\) | 20.1287 | + | 38.1600i | 0.638122 | + | 1.20975i | ||||
\(996\) | 0.405877 | + | 13.9502i | 0.0128607 | + | 0.442028i | ||||
\(997\) | −2.06076 | − | 0.216595i | −0.0652651 | − | 0.00685964i | 0.0718396 | − | 0.997416i | \(-0.477113\pi\) |
−0.137105 | + | 0.990557i | \(0.543780\pi\) | |||||||
\(998\) | 33.4730 | + | 10.8760i | 1.05957 | + | 0.344275i | ||||
\(999\) | −4.47051 | + | 1.89758i | −0.141441 | + | 0.0600369i |
(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 | 225.2.u.a.4.20 | ✓ | 224 | |
3.2 | odd | 2 | 675.2.y.a.604.9 | 224 | |||
9.2 | odd | 6 | 675.2.y.a.154.9 | 224 | |||
9.7 | even | 3 | inner | 225.2.u.a.79.20 | yes | 224 | |
25.19 | even | 10 | inner | 225.2.u.a.94.20 | yes | 224 | |
75.44 | odd | 10 | 675.2.y.a.469.9 | 224 | |||
225.119 | odd | 30 | 675.2.y.a.19.9 | 224 | |||
225.169 | even | 30 | inner | 225.2.u.a.169.20 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
225.2.u.a.4.20 | ✓ | 224 | 1.1 | even | 1 | trivial | |
225.2.u.a.79.20 | yes | 224 | 9.7 | even | 3 | inner | |
225.2.u.a.94.20 | yes | 224 | 25.19 | even | 10 | inner | |
225.2.u.a.169.20 | yes | 224 | 225.169 | even | 30 | inner | |
675.2.y.a.19.9 | 224 | 225.119 | odd | 30 | |||
675.2.y.a.154.9 | 224 | 9.2 | odd | 6 | |||
675.2.y.a.469.9 | 224 | 75.44 | odd | 10 | |||
675.2.y.a.604.9 | 224 | 3.2 | odd | 2 |