Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [552,2,Mod(13,552)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(552, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 11, 0, 14]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("552.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 552 = 2^{3} \cdot 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 552.bb (of order \(22\), degree \(10\), 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: | \(4.40774219157\) |
Analytic rank: | \(0\) |
Dimension: | \(480\) |
Relative dimension: | \(48\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 85.17 | ||
Character | \(\chi\) | \(=\) | 552.85 |
Dual form | 552.2.bb.a.13.17 |
$q$-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 \(\left(\mathbb{Z}/552\mathbb{Z}\right)^\times\).
\(n\) | \(97\) | \(185\) | \(277\) | \(415\) |
\(\chi(n)\) | \(e\left(\frac{4}{11}\right)\) | \(1\) | \(-1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.682311 | − | 1.23873i | −0.482467 | − | 0.875914i | ||||
\(3\) | −0.540641 | − | 0.841254i | −0.312139 | − | 0.485698i | ||||
\(4\) | −1.06890 | + | 1.69040i | −0.534452 | + | 0.845199i | ||||
\(5\) | −3.63898 | + | 1.66187i | −1.62740 | + | 0.743210i | −0.999388 | − | 0.0349919i | \(-0.988859\pi\) |
−0.628015 | + | 0.778202i | \(0.716132\pi\) | |||||||
\(6\) | −0.673201 | + | 1.24370i | −0.274833 | + | 0.507740i | ||||
\(7\) | −2.20249 | + | 0.646708i | −0.832461 | + | 0.244433i | −0.670074 | − | 0.742294i | \(-0.733738\pi\) |
−0.162387 | + | 0.986727i | \(0.551919\pi\) | |||||||
\(8\) | 2.82327 | + | 0.170707i | 0.998177 | + | 0.0603541i | ||||
\(9\) | −0.415415 | + | 0.909632i | −0.138472 | + | 0.303211i | ||||
\(10\) | 4.54152 | + | 3.37381i | 1.43616 | + | 1.06689i | ||||
\(11\) | 3.86000 | − | 3.34471i | 1.16383 | − | 1.00847i | 0.164077 | − | 0.986447i | \(-0.447535\pi\) |
0.999758 | − | 0.0220213i | \(-0.00701017\pi\) | |||||||
\(12\) | 1.99995 | − | 0.0146786i | 0.577335 | − | 0.00423735i | ||||
\(13\) | −0.959628 | + | 3.26819i | −0.266153 | + | 0.906434i | 0.712631 | + | 0.701539i | \(0.247503\pi\) |
−0.978784 | + | 0.204895i | \(0.934315\pi\) | |||||||
\(14\) | 2.30388 | + | 2.28703i | 0.615737 | + | 0.611234i | ||||
\(15\) | 3.36543 | + | 2.16283i | 0.868951 | + | 0.558441i | ||||
\(16\) | −1.71489 | − | 3.61375i | −0.428722 | − | 0.903436i | ||||
\(17\) | 0.278072 | − | 1.93403i | 0.0674424 | − | 0.469072i | −0.927912 | − | 0.372798i | \(-0.878398\pi\) |
0.995355 | − | 0.0962740i | \(-0.0306925\pi\) | |||||||
\(18\) | 1.41023 | − | 0.106065i | 0.332395 | − | 0.0249997i | ||||
\(19\) | −0.154768 | + | 0.0222523i | −0.0355063 | + | 0.00510503i | −0.160045 | − | 0.987110i | \(-0.551164\pi\) |
0.124539 | + | 0.992215i | \(0.460255\pi\) | |||||||
\(20\) | 1.08051 | − | 7.92770i | 0.241608 | − | 1.77269i | ||||
\(21\) | 1.73480 | + | 1.50321i | 0.378564 | + | 0.328028i | ||||
\(22\) | −6.77692 | − | 2.49937i | −1.44484 | − | 0.532867i | ||||
\(23\) | 0.605610 | − | 4.75744i | 0.126278 | − | 0.991995i | ||||
\(24\) | −1.38277 | − | 2.46738i | −0.282256 | − | 0.503651i | ||||
\(25\) | 7.20608 | − | 8.31626i | 1.44122 | − | 1.66325i | ||||
\(26\) | 4.70317 | − | 1.04120i | 0.922368 | − | 0.204197i | ||||
\(27\) | 0.989821 | − | 0.142315i | 0.190491 | − | 0.0273885i | ||||
\(28\) | 1.26105 | − | 4.41435i | 0.238316 | − | 0.834233i | ||||
\(29\) | 6.53264 | + | 0.939252i | 1.21308 | + | 0.174415i | 0.719006 | − | 0.695004i | \(-0.244598\pi\) |
0.494076 | + | 0.869419i | \(0.335507\pi\) | |||||||
\(30\) | 0.382894 | − | 5.64459i | 0.0699066 | − | 1.03056i | ||||
\(31\) | 2.58486 | + | 1.66119i | 0.464255 | + | 0.298358i | 0.751779 | − | 0.659415i | \(-0.229196\pi\) |
−0.287524 | + | 0.957773i | \(0.592832\pi\) | |||||||
\(32\) | −3.30637 | + | 4.58998i | −0.584489 | + | 0.811402i | ||||
\(33\) | −4.90063 | − | 1.43895i | −0.853090 | − | 0.250490i | ||||
\(34\) | −2.58548 | + | 0.975156i | −0.443406 | + | 0.167238i | ||||
\(35\) | 6.94006 | − | 6.01360i | 1.17308 | − | 1.01648i | ||||
\(36\) | −1.09360 | − | 1.67453i | −0.182267 | − | 0.279088i | ||||
\(37\) | −3.20852 | − | 1.46528i | −0.527477 | − | 0.240891i | 0.133832 | − | 0.991004i | \(-0.457272\pi\) |
−0.661309 | + | 0.750113i | \(0.729999\pi\) | |||||||
\(38\) | 0.133165 | + | 0.176533i | 0.0216022 | + | 0.0286374i | ||||
\(39\) | 3.26819 | − | 0.959628i | 0.523330 | − | 0.153664i | ||||
\(40\) | −10.5575 | + | 4.07070i | −1.66929 | + | 0.643634i | ||||
\(41\) | −0.499642 | − | 1.09406i | −0.0780310 | − | 0.170864i | 0.866596 | − | 0.499011i | \(-0.166303\pi\) |
−0.944627 | + | 0.328147i | \(0.893576\pi\) | |||||||
\(42\) | 0.678402 | − | 3.17461i | 0.104680 | − | 0.489852i | ||||
\(43\) | 6.20972 | + | 9.66251i | 0.946973 | + | 1.47352i | 0.879557 | + | 0.475794i | \(0.157839\pi\) |
0.0674161 | + | 0.997725i | \(0.478525\pi\) | |||||||
\(44\) | 1.52792 | + | 10.1001i | 0.230343 | + | 1.52265i | ||||
\(45\) | − | 4.00050i | − | 0.596359i | ||||||
\(46\) | −6.30640 | + | 2.49587i | −0.929828 | + | 0.367995i | ||||
\(47\) | 4.85536 | 0.708228 | 0.354114 | − | 0.935202i | \(-0.384783\pi\) | ||||
0.354114 | + | 0.935202i | \(0.384783\pi\) | |||||||
\(48\) | −2.11294 | + | 3.39639i | −0.304976 | + | 0.490227i | ||||
\(49\) | −1.45606 | + | 0.935755i | −0.208009 | + | 0.133679i | ||||
\(50\) | −15.2184 | − | 3.25212i | −2.15221 | − | 0.459919i | ||||
\(51\) | −1.77735 | + | 0.811688i | −0.248879 | + | 0.113659i | ||||
\(52\) | −4.49880 | − | 5.11554i | −0.623871 | − | 0.709398i | ||||
\(53\) | −0.766395 | − | 2.61010i | −0.105272 | − | 0.358525i | 0.889962 | − | 0.456034i | \(-0.150731\pi\) |
−0.995235 | + | 0.0975095i | \(0.968912\pi\) | |||||||
\(54\) | −0.851655 | − | 1.12902i | −0.115896 | − | 0.153640i | ||||
\(55\) | −8.48802 | + | 18.5862i | −1.14452 | + | 2.50616i | ||||
\(56\) | −6.32861 | + | 1.44985i | −0.845696 | + | 0.193745i | ||||
\(57\) | 0.102394 | + | 0.118169i | 0.0135624 | + | 0.0156518i | ||||
\(58\) | −3.29381 | − | 8.73304i | −0.432499 | − | 1.14670i | ||||
\(59\) | −0.0453772 | + | 0.154540i | −0.00590761 | + | 0.0201195i | −0.962394 | − | 0.271657i | \(-0.912428\pi\) |
0.956486 | + | 0.291777i | \(0.0942464\pi\) | |||||||
\(60\) | −7.25337 | + | 3.37706i | −0.936407 | + | 0.435977i | ||||
\(61\) | 8.37851 | − | 13.0372i | 1.07276 | − | 1.66925i | 0.430963 | − | 0.902369i | \(-0.358174\pi\) |
0.641795 | − | 0.766876i | \(-0.278190\pi\) | |||||||
\(62\) | 0.294087 | − | 4.33539i | 0.0373490 | − | 0.550596i | ||||
\(63\) | 0.326679 | − | 2.27210i | 0.0411577 | − | 0.286258i | ||||
\(64\) | 7.94172 | + | 0.963905i | 0.992715 | + | 0.120488i | ||||
\(65\) | −1.93923 | − | 13.4877i | −0.240532 | − | 1.67294i | ||||
\(66\) | 1.56128 | + | 7.05237i | 0.192180 | + | 0.868086i | ||||
\(67\) | 5.36000 | + | 4.64447i | 0.654829 | + | 0.567412i | 0.917629 | − | 0.397438i | \(-0.130101\pi\) |
−0.262800 | + | 0.964850i | \(0.584646\pi\) | |||||||
\(68\) | 2.97205 | + | 2.53735i | 0.360414 | + | 0.307699i | ||||
\(69\) | −4.32963 | + | 2.06259i | −0.521226 | + | 0.248307i | ||||
\(70\) | −12.1845 | − | 4.49372i | −1.45633 | − | 0.537102i | ||||
\(71\) | 7.52390 | − | 8.68304i | 0.892922 | − | 1.03049i | −0.106424 | − | 0.994321i | \(-0.533940\pi\) |
0.999346 | − | 0.0361663i | \(-0.0115146\pi\) | |||||||
\(72\) | −1.32811 | + | 2.49722i | −0.156519 | + | 0.294301i | ||||
\(73\) | 1.97790 | + | 13.7566i | 0.231496 | + | 1.61009i | 0.691637 | + | 0.722245i | \(0.256890\pi\) |
−0.460141 | + | 0.887846i | \(0.652201\pi\) | |||||||
\(74\) | 0.374119 | + | 4.97427i | 0.0434904 | + | 0.578247i | ||||
\(75\) | −10.8920 | − | 1.56603i | −1.25770 | − | 0.180830i | ||||
\(76\) | 0.127817 | − | 0.285405i | 0.0146616 | − | 0.0327382i | ||||
\(77\) | −6.33855 | + | 9.86298i | −0.722345 | + | 1.12399i | ||||
\(78\) | −3.41864 | − | 3.39365i | −0.387085 | − | 0.384255i | ||||
\(79\) | 1.49751 | + | 0.439708i | 0.168483 | + | 0.0494711i | 0.364886 | − | 0.931052i | \(-0.381108\pi\) |
−0.196403 | + | 0.980523i | \(0.562926\pi\) | |||||||
\(80\) | 12.2460 | + | 10.3004i | 1.36915 | + | 1.15162i | ||||
\(81\) | −0.654861 | − | 0.755750i | −0.0727623 | − | 0.0839722i | ||||
\(82\) | −1.01434 | + | 1.36541i | −0.112015 | + | 0.150785i | ||||
\(83\) | 2.31069 | + | 1.05526i | 0.253631 | + | 0.115829i | 0.538174 | − | 0.842834i | \(-0.319114\pi\) |
−0.284543 | + | 0.958663i | \(0.591842\pi\) | |||||||
\(84\) | −4.39536 | + | 1.32571i | −0.479573 | + | 0.144647i | ||||
\(85\) | 2.20221 | + | 7.50003i | 0.238863 | + | 0.813493i | ||||
\(86\) | 7.73228 | − | 14.2850i | 0.833793 | − | 1.54039i | ||||
\(87\) | −2.74166 | − | 6.00341i | −0.293937 | − | 0.643633i | ||||
\(88\) | 11.4688 | − | 8.78410i | 1.22258 | − | 0.936388i | ||||
\(89\) | 2.54000 | − | 1.63236i | 0.269240 | − | 0.173030i | −0.399054 | − | 0.916927i | \(-0.630661\pi\) |
0.668294 | + | 0.743898i | \(0.267025\pi\) | |||||||
\(90\) | −4.95554 | + | 2.72958i | −0.522360 | + | 0.287723i | ||||
\(91\) | − | 7.81875i | − | 0.819628i | ||||||
\(92\) | 7.39463 | + | 6.10897i | 0.770943 | + | 0.636904i | ||||
\(93\) | − | 3.07263i | − | 0.318617i | ||||||
\(94\) | −3.31287 | − | 6.01448i | −0.341696 | − | 0.620347i | ||||
\(95\) | 0.526218 | − | 0.338180i | 0.0539889 | − | 0.0346965i | ||||
\(96\) | 5.64890 | + | 0.299963i | 0.576538 | + | 0.0306149i | ||||
\(97\) | −4.82189 | − | 10.5585i | −0.489589 | − | 1.07205i | −0.979715 | − | 0.200398i | \(-0.935777\pi\) |
0.490126 | − | 0.871652i | \(-0.336951\pi\) | |||||||
\(98\) | 2.15263 | + | 1.16519i | 0.217449 | + | 0.117702i | ||||
\(99\) | 1.43895 | + | 4.90063i | 0.144620 | + | 0.492532i | ||||
\(100\) | 6.35518 | + | 21.0704i | 0.635518 | + | 2.10704i | ||||
\(101\) | −8.32989 | − | 3.80413i | −0.828855 | − | 0.378525i | −0.0446312 | − | 0.999004i | \(-0.514211\pi\) |
−0.784224 | + | 0.620478i | \(0.786939\pi\) | |||||||
\(102\) | 2.21817 | + | 1.64783i | 0.219631 | + | 0.163160i | ||||
\(103\) | −5.84476 | − | 6.74521i | −0.575901 | − | 0.664625i | 0.390817 | − | 0.920468i | \(-0.372192\pi\) |
−0.966718 | + | 0.255843i | \(0.917647\pi\) | |||||||
\(104\) | −3.26719 | + | 9.06318i | −0.320375 | + | 0.888718i | ||||
\(105\) | −8.81104 | − | 2.58716i | −0.859870 | − | 0.252481i | ||||
\(106\) | −2.71029 | + | 2.73026i | −0.263247 | + | 0.265186i | ||||
\(107\) | −1.28009 | + | 1.99186i | −0.123751 | + | 0.192561i | −0.897601 | − | 0.440808i | \(-0.854692\pi\) |
0.773850 | + | 0.633369i | \(0.218328\pi\) | |||||||
\(108\) | −0.817456 | + | 1.82531i | −0.0786597 | + | 0.175641i | ||||
\(109\) | 7.04001 | + | 1.01220i | 0.674311 | + | 0.0969513i | 0.470960 | − | 0.882155i | \(-0.343908\pi\) |
0.203351 | + | 0.979106i | \(0.434817\pi\) | |||||||
\(110\) | 28.8147 | − | 2.16718i | 2.74737 | − | 0.206632i | ||||
\(111\) | 0.501983 | + | 3.49137i | 0.0476461 | + | 0.331386i | ||||
\(112\) | 6.11406 | + | 6.85019i | 0.577724 | + | 0.647282i | ||||
\(113\) | 4.53541 | − | 5.23414i | 0.426655 | − | 0.492386i | −0.501198 | − | 0.865333i | \(-0.667107\pi\) |
0.927853 | + | 0.372947i | \(0.121653\pi\) | |||||||
\(114\) | 0.0765148 | − | 0.207466i | 0.00716627 | − | 0.0194310i | ||||
\(115\) | 5.70243 | + | 18.3187i | 0.531754 | + | 1.70823i | ||||
\(116\) | −8.57048 | + | 10.0388i | −0.795749 | + | 0.932078i | ||||
\(117\) | −2.57421 | − | 2.23057i | −0.237986 | − | 0.206216i | ||||
\(118\) | 0.222395 | − | 0.0492346i | 0.0204731 | − | 0.00453241i | ||||
\(119\) | 0.638306 | + | 4.43951i | 0.0585134 | + | 0.406970i | ||||
\(120\) | 9.13232 | + | 6.68077i | 0.833663 | + | 0.609868i | ||||
\(121\) | 2.14707 | − | 14.9332i | 0.195188 | − | 1.35756i | ||||
\(122\) | −21.8663 | − | 1.48328i | −1.97969 | − | 0.134290i | ||||
\(123\) | −0.650258 | + | 1.01182i | −0.0586318 | + | 0.0912328i | ||||
\(124\) | −5.57104 | + | 2.59379i | −0.500294 | + | 0.232929i | ||||
\(125\) | −6.76692 | + | 23.0460i | −0.605252 | + | 2.06130i | ||||
\(126\) | −3.03742 | + | 1.14561i | −0.270595 | + | 0.102059i | ||||
\(127\) | 10.0819 | + | 11.6351i | 0.894624 | + | 1.03245i | 0.999280 | + | 0.0379428i | \(0.0120805\pi\) |
−0.104656 | + | 0.994509i | \(0.533374\pi\) | |||||||
\(128\) | −4.22470 | − | 10.4953i | −0.373414 | − | 0.927665i | ||||
\(129\) | 4.77139 | − | 10.4479i | 0.420098 | − | 0.919886i | ||||
\(130\) | −15.3844 | + | 11.6050i | −1.34930 | + | 1.01782i | ||||
\(131\) | 4.94146 | + | 16.8291i | 0.431737 | + | 1.47036i | 0.832420 | + | 0.554145i | \(0.186955\pi\) |
−0.400683 | + | 0.916217i | \(0.631227\pi\) | |||||||
\(132\) | 7.67070 | − | 6.74590i | 0.667649 | − | 0.587156i | ||||
\(133\) | 0.326484 | − | 0.149100i | 0.0283098 | − | 0.0129286i | ||||
\(134\) | 2.09606 | − | 9.80857i | 0.181072 | − | 0.847331i | ||||
\(135\) | −3.36543 | + | 2.16283i | −0.289650 | + | 0.186147i | ||||
\(136\) | 1.11523 | − | 5.41283i | 0.0956299 | − | 0.464147i | ||||
\(137\) | −5.19104 | −0.443500 | −0.221750 | − | 0.975104i | \(-0.571177\pi\) | ||||
−0.221750 | + | 0.975104i | \(0.571177\pi\) | |||||||
\(138\) | 5.50915 | + | 3.95591i | 0.468970 | + | 0.336750i | ||||
\(139\) | − | 10.4552i | − | 0.886801i | −0.896324 | − | 0.443400i | \(-0.853772\pi\) | ||
0.896324 | − | 0.443400i | \(-0.146228\pi\) | |||||||
\(140\) | 2.74711 | + | 18.1594i | 0.232173 | + | 1.53475i | ||||
\(141\) | −2.62501 | − | 4.08459i | −0.221066 | − | 0.343985i | ||||
\(142\) | −15.8896 | − | 3.39555i | −1.33342 | − | 0.284948i | ||||
\(143\) | 7.22700 | + | 15.8249i | 0.604352 | + | 1.32335i | ||||
\(144\) | 3.99957 | − | 0.0587128i | 0.333297 | − | 0.00489274i | ||||
\(145\) | −25.3331 | + | 7.43846i | −2.10380 | + | 0.617731i | ||||
\(146\) | 15.6912 | − | 11.8364i | 1.29861 | − | 0.979586i | ||||
\(147\) | 1.57441 | + | 0.719011i | 0.129855 | + | 0.0593030i | ||||
\(148\) | 5.90651 | − | 3.85743i | 0.485512 | − | 0.317079i | ||||
\(149\) | 2.13109 | − | 1.84660i | 0.174585 | − | 0.151279i | −0.563185 | − | 0.826331i | \(-0.690424\pi\) |
0.737770 | + | 0.675052i | \(0.235879\pi\) | |||||||
\(150\) | 5.49183 | + | 14.5608i | 0.448406 | + | 1.18888i | ||||
\(151\) | 10.2001 | + | 2.99503i | 0.830075 | + | 0.243732i | 0.669049 | − | 0.743218i | \(-0.266702\pi\) |
0.161026 | + | 0.986950i | \(0.448520\pi\) | |||||||
\(152\) | −0.440751 | + | 0.0364043i | −0.0357496 | + | 0.00295278i | ||||
\(153\) | 1.64374 | + | 1.05637i | 0.132889 | + | 0.0854024i | ||||
\(154\) | 16.5424 | + | 1.12214i | 1.33303 | + | 0.0904244i | ||||
\(155\) | −12.1669 | − | 1.74934i | −0.977272 | − | 0.140511i | ||||
\(156\) | −1.87123 | + | 6.55030i | −0.149819 | + | 0.524444i | ||||
\(157\) | 17.0685 | − | 2.45408i | 1.36222 | − | 0.195857i | 0.577844 | − | 0.816147i | \(-0.303894\pi\) |
0.784373 | + | 0.620290i | \(0.212985\pi\) | |||||||
\(158\) | −0.477087 | − | 2.15503i | −0.0379550 | − | 0.171445i | ||||
\(159\) | −1.78141 | + | 2.05586i | −0.141275 | + | 0.163040i | ||||
\(160\) | 4.40388 | − | 22.1976i | 0.348157 | − | 1.75487i | ||||
\(161\) | 1.74283 | + | 10.8698i | 0.137354 | + | 0.856664i | ||||
\(162\) | −0.489351 | + | 1.32685i | −0.0384471 | + | 0.104247i | ||||
\(163\) | −17.9260 | − | 15.5330i | −1.40407 | − | 1.21663i | −0.944507 | − | 0.328490i | \(-0.893460\pi\) |
−0.459564 | − | 0.888145i | \(-0.651994\pi\) | |||||||
\(164\) | 2.38347 | + | 0.324855i | 0.186118 | + | 0.0253669i | ||||
\(165\) | 20.2246 | − | 2.90786i | 1.57449 | − | 0.226377i | ||||
\(166\) | −0.269430 | − | 3.58233i | −0.0209118 | − | 0.278043i | ||||
\(167\) | −1.72230 | + | 11.9788i | −0.133275 | + | 0.926951i | 0.807969 | + | 0.589225i | \(0.200567\pi\) |
−0.941244 | + | 0.337726i | \(0.890342\pi\) | |||||||
\(168\) | 4.64120 | + | 4.54012i | 0.358076 | + | 0.350278i | ||||
\(169\) | 1.17609 | + | 0.755827i | 0.0904684 | + | 0.0581405i | ||||
\(170\) | 7.78792 | − | 7.84529i | 0.597307 | − | 0.601707i | ||||
\(171\) | 0.0440516 | − | 0.150026i | 0.00336871 | − | 0.0114728i | ||||
\(172\) | −22.9711 | + | 0.168596i | −1.75153 | + | 0.0128553i | ||||
\(173\) | −19.0248 | + | 16.4851i | −1.44643 | + | 1.25334i | −0.533134 | + | 0.846031i | \(0.678986\pi\) |
−0.913292 | + | 0.407305i | \(0.866469\pi\) | |||||||
\(174\) | −5.56593 | + | 7.49237i | −0.421952 | + | 0.567995i | ||||
\(175\) | −10.4931 | + | 22.9767i | −0.793204 | + | 1.73687i | ||||
\(176\) | −18.7064 | − | 8.21327i | −1.41005 | − | 0.619098i | ||||
\(177\) | 0.154540 | − | 0.0453772i | 0.0116160 | − | 0.00341076i | ||||
\(178\) | −3.75512 | − | 2.03260i | −0.281458 | − | 0.152350i | ||||
\(179\) | 18.8865 | − | 8.62516i | 1.41164 | − | 0.644675i | 0.443775 | − | 0.896138i | \(-0.353639\pi\) |
0.967867 | + | 0.251463i | \(0.0809118\pi\) | |||||||
\(180\) | 6.76243 | + | 4.27615i | 0.504042 | + | 0.318725i | ||||
\(181\) | −13.1893 | − | 20.5229i | −0.980353 | − | 1.52546i | −0.845073 | − | 0.534651i | \(-0.820443\pi\) |
−0.135280 | − | 0.990807i | \(-0.543193\pi\) | |||||||
\(182\) | −9.68532 | + | 5.33482i | −0.717924 | + | 0.395443i | ||||
\(183\) | −15.4974 | −1.14560 | ||||||||
\(184\) | 2.52193 | − | 13.3282i | 0.185919 | − | 0.982565i | ||||
\(185\) | 14.1108 | 1.03745 | ||||||||
\(186\) | −3.80616 | + | 2.09649i | −0.279081 | + | 0.153722i | ||||
\(187\) | −5.39543 | − | 8.39545i | −0.394553 | − | 0.613936i | ||||
\(188\) | −5.18992 | + | 8.20749i | −0.378514 | + | 0.598593i | ||||
\(189\) | −2.08803 | + | 0.953572i | −0.151882 | + | 0.0693622i | ||||
\(190\) | −0.777958 | − | 0.421099i | −0.0564390 | − | 0.0305497i | ||||
\(191\) | 5.17234 | − | 1.51873i | 0.374257 | − | 0.109892i | −0.0891941 | − | 0.996014i | \(-0.528429\pi\) |
0.463451 | + | 0.886122i | \(0.346611\pi\) | |||||||
\(192\) | −3.48273 | − | 7.20212i | −0.251344 | − | 0.519769i | ||||
\(193\) | −5.99650 | + | 13.1305i | −0.431637 | + | 0.945154i | 0.561421 | + | 0.827530i | \(0.310255\pi\) |
−0.993058 | + | 0.117623i | \(0.962472\pi\) | |||||||
\(194\) | −9.78906 | + | 13.1772i | −0.702813 | + | 0.946066i | ||||
\(195\) | −10.2981 | + | 8.92338i | −0.737464 | + | 0.639016i | ||||
\(196\) | −0.0254061 | − | 3.46156i | −0.00181472 | − | 0.247254i | ||||
\(197\) | 3.66006 | − | 12.4650i | 0.260769 | − | 0.888097i | −0.720173 | − | 0.693795i | \(-0.755938\pi\) |
0.980942 | − | 0.194302i | \(-0.0622443\pi\) | |||||||
\(198\) | 5.08874 | − | 5.12623i | 0.361641 | − | 0.364305i | ||||
\(199\) | 0.359191 | + | 0.230838i | 0.0254624 | + | 0.0163637i | 0.553310 | − | 0.832975i | \(-0.313364\pi\) |
−0.527848 | + | 0.849339i | \(0.677001\pi\) | |||||||
\(200\) | 21.7644 | − | 22.2489i | 1.53897 | − | 1.57324i | ||||
\(201\) | 1.00934 | − | 7.02011i | 0.0711933 | − | 0.495161i | ||||
\(202\) | 0.971279 | + | 12.9141i | 0.0683390 | + | 0.908632i | ||||
\(203\) | −14.9955 | + | 2.15602i | −1.05248 | + | 0.151323i | ||||
\(204\) | 0.527740 | − | 3.87204i | 0.0369492 | − | 0.271097i | ||||
\(205\) | 3.63638 | + | 3.15094i | 0.253976 | + | 0.220071i | ||||
\(206\) | −4.36755 | + | 11.8424i | −0.304302 | + | 0.825099i | ||||
\(207\) | 4.07594 | + | 2.52719i | 0.283297 | + | 0.175652i | ||||
\(208\) | 13.4561 | − | 2.13673i | 0.933011 | − | 0.148156i | ||||
\(209\) | −0.522978 | + | 0.603549i | −0.0361752 | + | 0.0417484i | ||||
\(210\) | 2.80708 | + | 12.6797i | 0.193707 | + | 0.874986i | ||||
\(211\) | 26.4139 | − | 3.79775i | 1.81841 | − | 0.261448i | 0.852949 | − | 0.521994i | \(-0.174812\pi\) |
0.965461 | + | 0.260547i | \(0.0839028\pi\) | |||||||
\(212\) | 5.23131 | + | 1.49444i | 0.359288 | + | 0.102638i | ||||
\(213\) | −11.3724 | − | 1.63510i | −0.779222 | − | 0.112035i | ||||
\(214\) | 3.34080 | + | 0.226620i | 0.228372 | + | 0.0154914i | ||||
\(215\) | −38.6549 | − | 24.8420i | −2.63624 | − | 1.69421i | ||||
\(216\) | 2.81883 | − | 0.232824i | 0.191797 | − | 0.0158417i | ||||
\(217\) | −6.76743 | − | 1.98710i | −0.459403 | − | 0.134893i | ||||
\(218\) | −3.54963 | − | 9.41131i | −0.240411 | − | 0.637414i | ||||
\(219\) | 10.5035 | − | 9.10131i | 0.709759 | − | 0.615009i | ||||
\(220\) | −22.3451 | − | 34.2149i | −1.50651 | − | 2.30677i | ||||
\(221\) | 6.05395 | + | 2.76475i | 0.407233 | + | 0.185977i | ||||
\(222\) | 3.98235 | − | 3.00402i | 0.267278 | − | 0.201617i | ||||
\(223\) | 12.0024 | − | 3.52423i | 0.803742 | − | 0.236000i | 0.146041 | − | 0.989279i | \(-0.453347\pi\) |
0.657702 | + | 0.753279i | \(0.271529\pi\) | |||||||
\(224\) | 4.31385 | − | 12.2476i | 0.288231 | − | 0.818329i | ||||
\(225\) | 4.57122 | + | 10.0096i | 0.304748 | + | 0.667306i | ||||
\(226\) | −9.57824 | − | 2.04683i | −0.637135 | − | 0.136153i | ||||
\(227\) | −8.86045 | − | 13.7871i | −0.588089 | − | 0.915084i | −0.999993 | − | 0.00385636i | \(-0.998772\pi\) |
0.411904 | − | 0.911227i | \(-0.364864\pi\) | |||||||
\(228\) | −0.309201 | + | 0.0467752i | −0.0204774 | + | 0.00309776i | ||||
\(229\) | 27.3438i | 1.80693i | 0.428661 | + | 0.903466i | \(0.358986\pi\) | ||||
−0.428661 | + | 0.903466i | \(0.641014\pi\) | |||||||
\(230\) | 18.8011 | − | 19.5628i | 1.23971 | − | 1.28993i | ||||
\(231\) | 11.7241 | 0.771392 | ||||||||
\(232\) | 18.2831 | + | 3.76693i | 1.20034 | + | 0.247311i | ||||
\(233\) | 8.86069 | − | 5.69442i | 0.580483 | − | 0.373054i | −0.217203 | − | 0.976126i | \(-0.569693\pi\) |
0.797686 | + | 0.603073i | \(0.206057\pi\) | |||||||
\(234\) | −1.00666 | + | 4.71069i | −0.0658073 | + | 0.307947i | ||||
\(235\) | −17.6686 | + | 8.06897i | −1.15257 | + | 0.526362i | ||||
\(236\) | −0.212731 | − | 0.241894i | −0.0138476 | − | 0.0157460i | ||||
\(237\) | −0.439708 | − | 1.49751i | −0.0285621 | − | 0.0972737i | ||||
\(238\) | 5.06384 | − | 3.81982i | 0.328240 | − | 0.247602i | ||||
\(239\) | −5.97101 | + | 13.0747i | −0.386232 | + | 0.845731i | 0.612250 | + | 0.790664i | \(0.290264\pi\) |
−0.998483 | + | 0.0550668i | \(0.982463\pi\) | |||||||
\(240\) | 2.04459 | − | 15.8708i | 0.131977 | − | 1.02446i | ||||
\(241\) | 10.1853 | + | 11.7544i | 0.656092 | + | 0.757170i | 0.982134 | − | 0.188185i | \(-0.0602605\pi\) |
−0.326042 | + | 0.945355i | \(0.605715\pi\) | |||||||
\(242\) | −19.9631 | + | 7.52943i | −1.28328 | + | 0.484010i | ||||
\(243\) | −0.281733 | + | 0.959493i | −0.0180732 | + | 0.0615515i | ||||
\(244\) | 13.0823 | + | 28.0986i | 0.837506 | + | 1.79883i | ||||
\(245\) | 3.74349 | − | 5.82498i | 0.239163 | − | 0.372144i | ||||
\(246\) | 1.69705 | + | 0.115118i | 0.108200 | + | 0.00733963i | ||||
\(247\) | 0.0757951 | − | 0.527167i | 0.00482273 | − | 0.0335428i | ||||
\(248\) | 7.01419 | + | 5.13124i | 0.445401 | + | 0.325834i | ||||
\(249\) | −0.361515 | − | 2.51439i | −0.0229101 | − | 0.159343i | ||||
\(250\) | 33.1649 | − | 7.34216i | 2.09754 | − | 0.464359i | ||||
\(251\) | −5.22136 | − | 4.52434i | −0.329569 | − | 0.285574i | 0.474320 | − | 0.880353i | \(-0.342694\pi\) |
−0.803889 | + | 0.594779i | \(0.797240\pi\) | |||||||
\(252\) | 3.49157 | + | 2.98088i | 0.219948 | + | 0.187778i | ||||
\(253\) | −13.5746 | − | 20.3893i | −0.853429 | − | 1.28187i | ||||
\(254\) | 7.53380 | − | 20.4275i | 0.472713 | − | 1.28174i | ||||
\(255\) | 5.11883 | − | 5.90744i | 0.320553 | − | 0.369938i | ||||
\(256\) | −10.1183 | + | 12.3943i | −0.632395 | + | 0.774646i | ||||
\(257\) | −2.16377 | − | 15.0493i | −0.134972 | − | 0.938751i | −0.938941 | − | 0.344079i | \(-0.888191\pi\) |
0.803968 | − | 0.594672i | \(-0.202718\pi\) | |||||||
\(258\) | −16.1977 | + | 1.21824i | −1.00842 | + | 0.0758444i | ||||
\(259\) | 8.01433 | + | 1.15229i | 0.497986 | + | 0.0715996i | ||||
\(260\) | 24.8724 | + | 11.1390i | 1.54252 | + | 0.690808i | ||||
\(261\) | −3.56813 | + | 5.55212i | −0.220862 | + | 0.343668i | ||||
\(262\) | 17.4751 | − | 17.6038i | 1.07961 | − | 1.08757i | ||||
\(263\) | −10.8941 | − | 3.19879i | −0.671757 | − | 0.197246i | −0.0719720 | − | 0.997407i | \(-0.522929\pi\) |
−0.599785 | + | 0.800161i | \(0.704747\pi\) | |||||||
\(264\) | −13.5902 | − | 4.89913i | −0.836416 | − | 0.301521i | ||||
\(265\) | 7.12654 | + | 8.22446i | 0.437780 | + | 0.505225i | ||||
\(266\) | −0.407459 | − | 0.302693i | −0.0249829 | − | 0.0185593i | ||||
\(267\) | −2.74646 | − | 1.25426i | −0.168080 | − | 0.0767598i | ||||
\(268\) | −13.5803 | + | 4.09605i | −0.829551 | + | 0.250206i | ||||
\(269\) | 2.70240 | + | 9.20354i | 0.164768 | + | 0.561150i | 0.999938 | + | 0.0111569i | \(0.00355141\pi\) |
−0.835169 | + | 0.549993i | \(0.814630\pi\) | |||||||
\(270\) | 4.97544 | + | 2.69314i | 0.302796 | + | 0.163899i | ||||
\(271\) | −5.14338 | − | 11.2624i | −0.312438 | − | 0.684144i | 0.686643 | − | 0.726995i | \(-0.259083\pi\) |
−0.999082 | + | 0.0428502i | \(0.986356\pi\) | |||||||
\(272\) | −7.46597 | + | 2.31177i | −0.452691 | + | 0.140172i | ||||
\(273\) | −6.57755 | + | 4.22714i | −0.398092 | + | 0.255838i | ||||
\(274\) | 3.54190 | + | 6.43029i | 0.213974 | + | 0.388468i | ||||
\(275\) | − | 56.2031i | − | 3.38917i | ||||||
\(276\) | 1.14135 | − | 9.52351i | 0.0687015 | − | 0.573248i | ||||
\(277\) | − | 4.63726i | − | 0.278626i | −0.990248 | − | 0.139313i | \(-0.955511\pi\) | ||
0.990248 | − | 0.139313i | \(-0.0444894\pi\) | |||||||
\(278\) | −12.9512 | + | 7.13371i | −0.776761 | + | 0.427852i | ||||
\(279\) | −2.58486 | + | 1.66119i | −0.154752 | + | 0.0994528i | ||||
\(280\) | 20.6202 | − | 15.7933i | 1.23230 | − | 0.943830i | ||||
\(281\) | −10.2733 | − | 22.4955i | −0.612856 | − | 1.34197i | −0.920603 | − | 0.390499i | \(-0.872302\pi\) |
0.307747 | − | 0.951468i | \(-0.400425\pi\) | |||||||
\(282\) | −3.26864 | + | 6.03864i | −0.194644 | + | 0.359596i | ||||
\(283\) | −6.33153 | − | 21.5632i | −0.376370 | − | 1.28180i | −0.902240 | − | 0.431234i | \(-0.858078\pi\) |
0.525870 | − | 0.850565i | \(-0.323740\pi\) | |||||||
\(284\) | 6.63547 | + | 21.9997i | 0.393742 | + | 1.30544i | ||||
\(285\) | −0.568990 | − | 0.259849i | −0.0337041 | − | 0.0153921i | ||||
\(286\) | 14.6717 | − | 19.7498i | 0.867559 | − | 1.16783i | ||||
\(287\) | 1.80799 | + | 2.08654i | 0.106723 | + | 0.123164i | ||||
\(288\) | −2.80168 | − | 4.91433i | −0.165090 | − | 0.289579i | ||||
\(289\) | 12.6482 | + | 3.71385i | 0.744013 | + | 0.218462i | ||||
\(290\) | 26.4993 | + | 26.3055i | 1.55609 | + | 1.54471i | ||||
\(291\) | −6.27543 | + | 9.76477i | −0.367872 | + | 0.572421i | ||||
\(292\) | −25.3683 | − | 11.3611i | −1.48457 | − | 0.664856i | ||||
\(293\) | −15.3453 | − | 2.20631i | −0.896480 | − | 0.128894i | −0.321354 | − | 0.946959i | \(-0.604138\pi\) |
−0.575126 | + | 0.818065i | \(0.695047\pi\) | |||||||
\(294\) | −0.183579 | − | 2.44086i | −0.0107066 | − | 0.142354i | ||||
\(295\) | −0.0916990 | − | 0.637781i | −0.00533892 | − | 0.0371330i | ||||
\(296\) | −8.80838 | − | 4.68460i | −0.511977 | − | 0.272287i | ||||
\(297\) | 3.34471 | − | 3.86000i | 0.194080 | − | 0.223980i | ||||
\(298\) | −3.74150 | − | 1.37989i | −0.216739 | − | 0.0799348i | ||||
\(299\) | 14.9671 | + | 6.54463i | 0.865568 | + | 0.378485i | ||||
\(300\) | 14.2897 | − | 16.7379i | 0.825017 | − | 0.966360i | ||||
\(301\) | −19.9256 | − | 17.2657i | −1.14849 | − | 0.995176i | ||||
\(302\) | −3.24963 | − | 14.6787i | −0.186995 | − | 0.844667i | ||||
\(303\) | 1.30324 | + | 9.06422i | 0.0748691 | + | 0.520726i | ||||
\(304\) | 0.345824 | + | 0.521133i | 0.0198344 | + | 0.0298890i | ||||
\(305\) | −8.82313 | + | 61.3662i | −0.505211 | + | 3.51382i | ||||
\(306\) | 0.187013 | − | 2.75693i | 0.0106908 | − | 0.157603i | ||||
\(307\) | 4.94120 | − | 7.68866i | 0.282009 | − | 0.438815i | −0.671133 | − | 0.741337i | \(-0.734192\pi\) |
0.953142 | + | 0.302522i | \(0.0978285\pi\) | |||||||
\(308\) | −9.89705 | − | 21.2572i | −0.563937 | − | 1.21124i | ||||
\(309\) | −2.51452 | + | 8.56366i | −0.143046 | + | 0.487169i | ||||
\(310\) | 6.13467 | + | 16.2652i | 0.348426 | + | 0.923798i | ||||
\(311\) | −2.80125 | − | 3.23282i | −0.158844 | − | 0.183316i | 0.670749 | − | 0.741685i | \(-0.265973\pi\) |
−0.829593 | + | 0.558369i | \(0.811428\pi\) | |||||||
\(312\) | 9.39081 | − | 2.15139i | 0.531650 | − | 0.121798i | ||||
\(313\) | −6.62052 | + | 14.4969i | −0.374214 | + | 0.819414i | 0.625032 | + | 0.780599i | \(0.285086\pi\) |
−0.999246 | + | 0.0388155i | \(0.987642\pi\) | |||||||
\(314\) | −14.6860 | − | 19.4689i | −0.828778 | − | 1.09869i | ||||
\(315\) | 2.58716 | + | 8.81104i | 0.145770 | + | 0.496446i | ||||
\(316\) | −2.34398 | + | 2.06138i | −0.131859 | + | 0.115962i | ||||
\(317\) | −11.6759 | + | 5.33220i | −0.655784 | + | 0.299486i | −0.715379 | − | 0.698736i | \(-0.753746\pi\) |
0.0595957 | + | 0.998223i | \(0.481019\pi\) | |||||||
\(318\) | 3.76213 | + | 0.803954i | 0.210970 | + | 0.0450835i | ||||
\(319\) | 28.3576 | − | 18.2243i | 1.58772 | − | 1.02036i | ||||
\(320\) | −30.5017 | + | 9.69045i | −1.70509 | + | 0.541713i | ||||
\(321\) | 2.36773 | 0.132154 | ||||||||
\(322\) | 12.2757 | − | 9.57551i | 0.684096 | − | 0.533622i | ||||
\(323\) | 0.305515i | 0.0169993i | ||||||||
\(324\) | 1.97750 | − | 0.299151i | 0.109861 | − | 0.0166195i | ||||
\(325\) | 20.2640 | + | 31.5314i | 1.12404 | + | 1.74905i | ||||
\(326\) | −7.01004 | + | 32.8038i | −0.388250 | + | 1.81683i | ||||
\(327\) | −2.95460 | − | 6.46967i | −0.163390 | − | 0.357774i | ||||
\(328\) | −1.22386 | − | 3.17413i | −0.0675764 | − | 0.175262i | ||||
\(329\) | −10.6939 | + | 3.14000i | −0.589572 | + | 0.173114i | ||||
\(330\) | −17.4016 | − | 23.0688i | −0.957924 | − | 1.26990i | ||||
\(331\) | −1.10789 | − | 0.505955i | −0.0608949 | − | 0.0278098i | 0.384735 | − | 0.923027i | \(-0.374293\pi\) |
−0.445630 | + | 0.895217i | \(0.647020\pi\) | |||||||
\(332\) | −4.25371 | + | 2.77801i | −0.233452 | + | 0.152463i | ||||
\(333\) | 2.66573 | − | 2.30987i | 0.146081 | − | 0.126580i | ||||
\(334\) | 16.0137 | − | 6.03983i | 0.876231 | − | 0.330485i | ||||
\(335\) | −27.2235 | − | 7.99353i | −1.48738 | − | 0.436733i | ||||
\(336\) | 2.45724 | − | 8.84696i | 0.134053 | − | 0.482641i | ||||
\(337\) | 1.02692 | + | 0.659962i | 0.0559399 | + | 0.0359504i | 0.568312 | − | 0.822813i | \(-0.307597\pi\) |
−0.512372 | + | 0.858764i | \(0.671233\pi\) | |||||||
\(338\) | 0.133807 | − | 1.97257i | 0.00727814 | − | 0.107293i | ||||
\(339\) | −6.85526 | − | 0.985638i | −0.372327 | − | 0.0535325i | ||||
\(340\) | −15.0320 | − | 4.29421i | −0.815224 | − | 0.232886i | ||||
\(341\) | 15.5338 | − | 2.23342i | 0.841201 | − | 0.120946i | ||||
\(342\) | −0.215899 | + | 0.0477963i | −0.0116745 | + | 0.00258453i | ||||
\(343\) | 13.1243 | − | 15.1462i | 0.708645 | − | 0.817819i | ||||
\(344\) | 15.8823 | + | 28.3399i | 0.856314 | + | 1.52799i | ||||
\(345\) | 12.3277 | − | 14.7010i | 0.663700 | − | 0.791476i | ||||
\(346\) | 33.4013 | + | 12.3186i | 1.79567 | + | 0.662253i | ||||
\(347\) | 3.76678 | + | 3.26394i | 0.202212 | + | 0.175217i | 0.750080 | − | 0.661347i | \(-0.230015\pi\) |
−0.547868 | + | 0.836565i | \(0.684560\pi\) | |||||||
\(348\) | 13.0787 | + | 1.78256i | 0.701093 | + | 0.0955554i | ||||
\(349\) | 11.4050 | − | 1.63979i | 0.610496 | − | 0.0877761i | 0.169870 | − | 0.985467i | \(-0.445665\pi\) |
0.440627 | + | 0.897690i | \(0.354756\pi\) | |||||||
\(350\) | 35.6215 | − | 2.67912i | 1.90405 | − | 0.143205i | ||||
\(351\) | −0.484748 | + | 3.37150i | −0.0258739 | + | 0.179957i | ||||
\(352\) | 2.58957 | + | 28.7762i | 0.138025 | + | 1.53378i | ||||
\(353\) | 14.4843 | + | 9.30848i | 0.770920 | + | 0.495441i | 0.866009 | − | 0.500028i | \(-0.166677\pi\) |
−0.0950886 | + | 0.995469i | \(0.530313\pi\) | |||||||
\(354\) | −0.161655 | − | 0.160473i | −0.00859185 | − | 0.00852902i | ||||
\(355\) | −12.9493 | + | 44.1011i | −0.687276 | + | 2.34065i | ||||
\(356\) | 0.0443192 | + | 6.03845i | 0.00234891 | + | 0.320037i | ||||
\(357\) | 3.38966 | − | 2.93716i | 0.179400 | − | 0.155451i | ||||
\(358\) | −23.5707 | − | 17.5102i | −1.24575 | − | 0.925443i | ||||
\(359\) | 12.5125 | − | 27.3986i | 0.660386 | − | 1.44604i | −0.221777 | − | 0.975097i | \(-0.571186\pi\) |
0.882162 | − | 0.470945i | \(-0.156087\pi\) | |||||||
\(360\) | 0.682914 | − | 11.2945i | 0.0359927 | − | 0.595272i | ||||
\(361\) | −18.2069 | + | 5.34603i | −0.958258 | + | 0.281370i | ||||
\(362\) | −16.4232 | + | 30.3410i | −0.863184 | + | 1.59469i | ||||
\(363\) | −13.7234 | + | 6.26726i | −0.720290 | + | 0.328946i | ||||
\(364\) | 13.2168 | + | 8.35749i | 0.692748 | + | 0.438052i | ||||
\(365\) | −30.0592 | − | 46.7731i | −1.57337 | − | 2.44821i | ||||
\(366\) | 10.5740 | + | 19.1971i | 0.552713 | + | 1.00345i | ||||
\(367\) | 2.31231 | 0.120701 | 0.0603507 | − | 0.998177i | \(-0.480778\pi\) | ||||
0.0603507 | + | 0.998177i | \(0.480778\pi\) | |||||||
\(368\) | −18.2307 | + | 5.96996i | −0.950343 | + | 0.311206i | ||||
\(369\) | 1.20275 | 0.0626129 | ||||||||
\(370\) | −9.62798 | − | 17.4795i | −0.500535 | − | 0.908717i | ||||
\(371\) | 3.37595 | + | 5.25307i | 0.175270 | + | 0.272726i | ||||
\(372\) | 5.19397 | + | 3.28435i | 0.269295 | + | 0.170286i | ||||
\(373\) | 19.1562 | − | 8.74835i | 0.991872 | − | 0.452973i | 0.147692 | − | 0.989033i | \(-0.452815\pi\) |
0.844179 | + | 0.536061i | \(0.180088\pi\) | |||||||
\(374\) | −6.71834 | + | 12.4118i | −0.347397 | + | 0.641798i | ||||
\(375\) | 23.0460 | − | 6.76692i | 1.19009 | − | 0.349442i | ||||
\(376\) | 13.7080 | + | 0.828845i | 0.706936 | + | 0.0427444i | ||||
\(377\) | −9.33857 | + | 20.4486i | −0.480961 | + | 1.05316i | ||||
\(378\) | 2.60590 | + | 1.93587i | 0.134033 | + | 0.0995707i | ||||
\(379\) | −11.9983 | + | 10.3966i | −0.616312 | + | 0.534037i | −0.906106 | − | 0.423052i | \(-0.860959\pi\) |
0.289793 | + | 0.957089i | \(0.406413\pi\) | |||||||
\(380\) | 0.00918172 | + | 1.25100i | 0.000471012 | + | 0.0641750i | ||||
\(381\) | 4.33741 | − | 14.7719i | 0.222212 | − | 0.756786i | ||||
\(382\) | −5.41044 | − | 5.37088i | −0.276822 | − | 0.274798i | ||||
\(383\) | 4.58949 | + | 2.94948i | 0.234512 | + | 0.150712i | 0.652619 | − | 0.757686i | \(-0.273670\pi\) |
−0.418108 | + | 0.908398i | \(0.637306\pi\) | |||||||
\(384\) | −6.54518 | + | 9.22825i | −0.334008 | + | 0.470927i | ||||
\(385\) | 6.67491 | − | 46.4250i | 0.340185 | − | 2.36604i | ||||
\(386\) | 20.3566 | − | 1.53104i | 1.03612 | − | 0.0779278i | ||||
\(387\) | −11.3689 | + | 1.63461i | −0.577916 | + | 0.0830917i | ||||
\(388\) | 23.0021 | + | 3.13508i | 1.16776 | + | 0.159159i | ||||
\(389\) | −28.8109 | − | 24.9648i | −1.46077 | − | 1.26576i | −0.898620 | − | 0.438728i | \(-0.855429\pi\) |
−0.562149 | − | 0.827036i | \(-0.690025\pi\) | |||||||
\(390\) | 18.0802 | + | 6.66808i | 0.915525 | + | 0.337651i | ||||
\(391\) | −9.03265 | − | 2.49418i | −0.456801 | − | 0.126136i | ||||
\(392\) | −4.27060 | + | 2.39333i | −0.215698 | + | 0.120881i | ||||
\(393\) | 11.4860 | − | 13.2555i | 0.579390 | − | 0.668651i | ||||
\(394\) | −17.9381 | + | 3.97120i | −0.903709 | + | 0.200066i | ||||
\(395\) | −6.18015 | + | 0.888571i | −0.310957 | + | 0.0447089i | ||||
\(396\) | −9.82211 | − | 2.80590i | −0.493580 | − | 0.141002i | ||||
\(397\) | 27.5102 | + | 3.95537i | 1.38070 | + | 0.198514i | 0.792336 | − | 0.610085i | \(-0.208865\pi\) |
0.588360 | + | 0.808599i | \(0.299774\pi\) | |||||||
\(398\) | 0.0408661 | − | 0.602444i | 0.00204843 | − | 0.0301978i | ||||
\(399\) | −0.301942 | − | 0.194046i | −0.0151160 | − | 0.00971446i | ||||
\(400\) | −42.4105 | − | 11.7795i | −2.12052 | − | 0.588975i | ||||
\(401\) | 8.89754 | + | 2.61255i | 0.444322 | + | 0.130465i | 0.496238 | − | 0.868187i | \(-0.334714\pi\) |
−0.0519156 | + | 0.998651i | \(0.516533\pi\) | |||||||
\(402\) | −9.38471 | + | 3.53960i | −0.468067 | + | 0.176539i | ||||
\(403\) | −7.90960 | + | 6.85370i | −0.394005 | + | 0.341407i | ||||
\(404\) | 15.3344 | − | 10.0146i | 0.762912 | − | 0.498244i | ||||
\(405\) | 3.63898 | + | 1.66187i | 0.180822 | + | 0.0825789i | ||||
\(406\) | 12.9023 | + | 17.1043i | 0.640331 | + | 0.848870i | ||||
\(407\) | −17.2858 | + | 5.07558i | −0.856827 | + | 0.251587i | ||||
\(408\) | −5.15650 | + | 1.98821i | −0.255285 | + | 0.0984311i | ||||
\(409\) | 5.33544 | + | 11.6830i | 0.263820 | + | 0.577686i | 0.994465 | − | 0.105072i | \(-0.0335074\pi\) |
−0.730644 | + | 0.682758i | \(0.760780\pi\) | |||||||
\(410\) | 1.42202 | − | 6.65441i | 0.0702287 | − | 0.328638i | ||||
\(411\) | 2.80649 | + | 4.36698i | 0.138434 | + | 0.215407i | ||||
\(412\) | 17.6496 | − | 2.66998i | 0.869532 | − | 0.131541i | ||||
\(413\) | − | 0.369719i | − | 0.0181927i | ||||||
\(414\) | 0.349454 | − | 6.77332i | 0.0171747 | − | 0.332891i | ||||
\(415\) | −10.1622 | −0.498845 | ||||||||
\(416\) | −11.8281 | − | 15.2105i | −0.579919 | − | 0.745758i | ||||
\(417\) | −8.79549 | + | 5.65252i | −0.430717 | + | 0.276805i | ||||
\(418\) | 1.10447 | + | 0.236021i | 0.0540213 | + | 0.0115442i | ||||
\(419\) | 36.0665 | − | 16.4710i | 1.76196 | − | 0.804661i | 0.777542 | − | 0.628831i | \(-0.216466\pi\) |
0.984421 | − | 0.175830i | \(-0.0562610\pi\) | |||||||
\(420\) | 13.7915 | − | 12.1287i | 0.672955 | − | 0.591822i | ||||
\(421\) | −3.29264 | − | 11.2137i | −0.160474 | − | 0.546523i | −0.999995 | − | 0.00319602i | \(-0.998983\pi\) |
0.839521 | − | 0.543327i | \(-0.182836\pi\) | |||||||
\(422\) | −22.7269 | − | 30.1285i | −1.10633 | − | 1.46663i | ||||
\(423\) | −2.01699 | + | 4.41659i | −0.0980695 | + | 0.214742i | ||||
\(424\) | −1.71818 | − | 7.49985i | −0.0834420 | − | 0.364225i | ||||
\(425\) | −14.0801 | − | 16.2493i | −0.682986 | − | 0.788208i | ||||
\(426\) | 5.73404 | + | 15.2029i | 0.277815 | + | 0.736585i | ||||
\(427\) | −10.0223 | + | 34.1328i | −0.485012 | + | 1.65180i | ||||
\(428\) | −1.99874 | − | 4.29298i | −0.0966129 | − | 0.207509i | ||||
\(429\) | 9.40556 | − | 14.6353i | 0.454105 | − | 0.706601i | ||||
\(430\) | −4.39787 | + | 64.8329i | −0.212084 | + | 3.12652i | ||||
\(431\) | 1.22493 | − | 8.51960i | 0.0590030 | − | 0.410375i | −0.938819 | − | 0.344411i | \(-0.888079\pi\) |
0.997822 | − | 0.0659640i | \(-0.0210122\pi\) | |||||||
\(432\) | −2.21172 | − | 3.33291i | −0.106412 | − | 0.160355i | ||||
\(433\) | 2.03282 | + | 14.1386i | 0.0976910 | + | 0.679456i | 0.978540 | + | 0.206058i | \(0.0660635\pi\) |
−0.880849 | + | 0.473398i | \(0.843027\pi\) | |||||||
\(434\) | 2.15601 | + | 9.73883i | 0.103492 | + | 0.467479i | ||||
\(435\) | 19.9537 | + | 17.2900i | 0.956708 | + | 0.828992i | ||||
\(436\) | −9.23612 | + | 10.8185i | −0.442330 | + | 0.518111i | ||||
\(437\) | 0.0121348 | + | 0.749777i | 0.000580489 | + | 0.0358667i | ||||
\(438\) | −18.4407 | − | 6.80104i | −0.881130 | − | 0.324966i | ||||
\(439\) | −2.23440 | + | 2.57864i | −0.106642 | + | 0.123072i | −0.806561 | − | 0.591151i | \(-0.798674\pi\) |
0.699919 | + | 0.714222i | \(0.253219\pi\) | |||||||
\(440\) | −27.1368 | + | 51.0248i | −1.29369 | + | 2.43251i | ||||
\(441\) | −0.246322 | − | 1.71321i | −0.0117296 | − | 0.0815813i | ||||
\(442\) | −0.705901 | − | 9.38563i | −0.0335763 | − | 0.446429i | ||||
\(443\) | −14.9211 | − | 2.14532i | −0.708921 | − | 0.101927i | −0.221584 | − | 0.975141i | \(-0.571123\pi\) |
−0.487337 | + | 0.873214i | \(0.662032\pi\) | |||||||
\(444\) | −6.43837 | − | 2.88339i | −0.305552 | − | 0.136840i | ||||
\(445\) | −6.53025 | + | 10.1613i | −0.309564 | + | 0.481691i | ||||
\(446\) | −12.5550 | − | 12.4631i | −0.594494 | − | 0.590147i | ||||
\(447\) | −2.70561 | − | 0.794438i | −0.127971 | − | 0.0375756i | ||||
\(448\) | −18.1149 | + | 3.01299i | −0.855848 | + | 0.142350i | ||||
\(449\) | 1.91295 | + | 2.20766i | 0.0902776 | + | 0.104186i | 0.799091 | − | 0.601210i | \(-0.205315\pi\) |
−0.708813 | + | 0.705396i | \(0.750769\pi\) | |||||||
\(450\) | 9.28018 | − | 12.4922i | 0.437472 | − | 0.588886i | ||||
\(451\) | −5.58795 | − | 2.55193i | −0.263126 | − | 0.120166i | ||||
\(452\) | 3.99986 | + | 13.2614i | 0.188138 | + | 0.623765i | ||||
\(453\) | −2.99503 | − | 10.2001i | −0.140719 | − | 0.479244i | ||||
\(454\) | −11.0329 | + | 20.3828i | −0.517802 | + | 0.956612i | ||||
\(455\) | 12.9937 | + | 28.4523i | 0.609155 | + | 1.33386i | ||||
\(456\) | 0.268913 | + | 0.351102i | 0.0125930 | + | 0.0164419i | ||||
\(457\) | −29.3168 | + | 18.8407i | −1.37138 | + | 0.881332i | −0.998908 | − | 0.0467112i | \(-0.985126\pi\) |
−0.372472 | + | 0.928044i | \(0.621490\pi\) | |||||||
\(458\) | 33.8716 | − | 18.6570i | 1.58272 | − | 0.871784i | ||||
\(459\) | − | 1.95392i | − | 0.0912013i | ||||||
\(460\) | −37.0612 | − | 9.94154i | −1.72799 | − | 0.463527i | ||||
\(461\) | 38.9381i | 1.81353i | 0.421640 | + | 0.906763i | \(0.361454\pi\) | ||||
−0.421640 | + | 0.906763i | \(0.638546\pi\) | |||||||
\(462\) | −7.99951 | − | 14.5230i | −0.372171 | − | 0.675673i | ||||
\(463\) | 17.4894 | − | 11.2397i | 0.812800 | − | 0.522355i | −0.0669700 | − | 0.997755i | \(-0.521333\pi\) |
0.879770 | + | 0.475400i | \(0.157697\pi\) | |||||||
\(464\) | −7.80853 | − | 25.2180i | −0.362502 | − | 1.17072i | ||||
\(465\) | 5.10631 | + | 11.1812i | 0.236799 | + | 0.518518i | ||||
\(466\) | −13.0996 | − | 7.09064i | −0.606827 | − | 0.328468i | ||||
\(467\) | 6.60257 | + | 22.4863i | 0.305530 | + | 1.04054i | 0.958957 | + | 0.283551i | \(0.0915125\pi\) |
−0.653427 | + | 0.756990i | \(0.726669\pi\) | |||||||
\(468\) | 6.52213 | − | 1.96718i | 0.301485 | − | 0.0909328i | ||||
\(469\) | −14.8090 | − | 6.76302i | −0.683814 | − | 0.312287i | ||||
\(470\) | 22.0507 | + | 16.3811i | 1.01712 | + | 0.755602i | ||||
\(471\) | −11.2925 | − | 13.0322i | −0.520329 | − | 0.600491i | ||||
\(472\) | −0.154493 | + | 0.428563i | −0.00711113 | + | 0.0197262i | ||||
\(473\) | 56.2878 | + | 16.5276i | 2.58812 | + | 0.759940i | ||||
\(474\) | −1.55499 | + | 1.56645i | −0.0714232 | + | 0.0719493i | ||||
\(475\) | −0.930216 | + | 1.44745i | −0.0426813 | + | 0.0664133i | ||||
\(476\) | −8.18683 | − | 3.66642i | −0.375243 | − | 0.168050i | ||||
\(477\) | 2.69260 | + | 0.387138i | 0.123286 | + | 0.0177258i | ||||
\(478\) | 20.2701 | − | 1.52453i | 0.927132 | − | 0.0697304i | ||||
\(479\) | 2.32584 | + | 16.1765i | 0.106270 | + | 0.739125i | 0.971378 | + | 0.237539i | \(0.0763408\pi\) |
−0.865108 | + | 0.501586i | \(0.832750\pi\) | |||||||
\(480\) | −21.0547 | + | 8.29615i | −0.961012 | + | 0.378666i | ||||
\(481\) | 7.86781 | − | 9.07994i | 0.358741 | − | 0.414009i | ||||
\(482\) | 7.61105 | − | 20.6370i | 0.346674 | − | 0.939989i | ||||
\(483\) | 8.20205 | − | 7.34284i | 0.373206 | − | 0.334111i | ||||
\(484\) | 22.9480 | + | 19.5915i | 1.04309 | + | 0.890524i | ||||
\(485\) | 35.0935 | + | 30.4087i | 1.59351 | + | 1.38079i | ||||
\(486\) | 1.38078 | − | 0.305682i | 0.0626335 | − | 0.0138660i | ||||
\(487\) | 2.48092 | + | 17.2552i | 0.112421 | + | 0.781906i | 0.965552 | + | 0.260209i | \(0.0837916\pi\) |
−0.853131 | + | 0.521697i | \(0.825299\pi\) | |||||||
\(488\) | 25.8804 | − | 35.3773i | 1.17155 | − | 1.60146i | ||||
\(489\) | −3.37563 | + | 23.4780i | −0.152651 | + | 1.06171i | ||||
\(490\) | −9.76979 | − | 0.662723i | −0.441354 | − | 0.0299388i | ||||
\(491\) | 6.08764 | − | 9.47255i | 0.274731 | − | 0.427490i | −0.676281 | − | 0.736644i | \(-0.736409\pi\) |
0.951012 | + | 0.309154i | \(0.100046\pi\) | |||||||
\(492\) | −1.01532 | − | 2.18073i | −0.0457740 | − | 0.0983151i | ||||
\(493\) | 3.63309 | − | 12.3732i | 0.163626 | − | 0.557260i | ||||
\(494\) | −0.704733 | + | 0.265802i | −0.0317074 | + | 0.0119590i | ||||
\(495\) | −13.3805 | − | 15.4419i | −0.601410 | − | 0.694064i | ||||
\(496\) | 1.57037 | − | 12.1898i | 0.0705116 | − | 0.547338i | ||||
\(497\) | −10.9559 | + | 23.9900i | −0.491439 | + | 1.07610i | ||||
\(498\) | −2.86798 | + | 2.16341i | −0.128517 | + | 0.0969449i | ||||
\(499\) | 6.57063 | + | 22.3775i | 0.294142 | + | 1.00175i | 0.965453 | + | 0.260579i | \(0.0839133\pi\) |
−0.671311 | + | 0.741176i | \(0.734269\pi\) | |||||||
\(500\) | −31.7238 | − | 36.0728i | −1.41873 | − | 1.61322i | ||||
\(501\) | 11.0084 | − | 5.02736i | 0.491819 | − | 0.224606i | ||||
\(502\) | −2.04184 | + | 9.55486i | −0.0911318 | + | 0.426454i | ||||
\(503\) | 31.0568 | − | 19.9590i | 1.38475 | − | 0.889926i | 0.385292 | − | 0.922795i | \(-0.374101\pi\) |
0.999460 | + | 0.0328684i | \(0.0104642\pi\) | |||||||
\(504\) | 1.31017 | − | 6.35900i | 0.0583595 | − | 0.283252i | ||||
\(505\) | 36.6343 | 1.63020 | ||||||||
\(506\) | −15.9948 | + | 30.7271i | −0.711054 | + | 1.36599i | ||||
\(507\) | − | 1.39802i | − | 0.0620883i | ||||||
\(508\) | −30.4446 | + | 4.60558i | −1.35076 | + | 0.204340i | ||||
\(509\) | 8.88333 | + | 13.8227i | 0.393747 | + | 0.612682i | 0.980367 | − | 0.197180i | \(-0.0631783\pi\) |
−0.586621 | + | 0.809862i | \(0.699542\pi\) | |||||||
\(510\) | −10.8104 | − | 2.31013i | −0.478690 | − | 0.102294i | ||||
\(511\) | −13.2528 | − | 29.0196i | −0.586270 | − | 1.28375i | ||||
\(512\) | 22.2571 | + | 4.07707i | 0.983633 | + | 0.180183i | ||||
\(513\) | −0.150026 | + | 0.0440516i | −0.00662381 | + | 0.00194493i | ||||
\(514\) | −17.1657 | + | 12.9486i | −0.757146 | + | 0.571140i | ||||
\(515\) | 32.4786 | + | 14.8325i | 1.43118 | + | 0.653597i | ||||
\(516\) | 12.5609 | + | 19.2333i | 0.552964 | + | 0.846701i | ||||
\(517\) | 18.7417 | − | 16.2398i | 0.824260 | − | 0.714225i | ||||
\(518\) | −4.04089 | − | 10.7138i | −0.177547 | − | 0.470738i | ||||
\(519\) | 24.1537 | + | 7.09216i | 1.06023 | + | 0.311311i | ||||
\(520\) | −3.17254 | − | 38.4104i | −0.139125 | − | 1.68441i | ||||
\(521\) | −6.99595 | − | 4.49603i | −0.306498 | − | 0.196974i | 0.378345 | − | 0.925664i | \(-0.376493\pi\) |
−0.684844 | + | 0.728690i | \(0.740130\pi\) | |||||||
\(522\) | 9.31215 | + | 0.631680i | 0.407582 | + | 0.0276479i | ||||
\(523\) | 3.00251 | + | 0.431696i | 0.131291 | + | 0.0188767i | 0.207647 | − | 0.978204i | \(-0.433420\pi\) |
−0.0763562 | + | 0.997081i | \(0.524329\pi\) | |||||||
\(524\) | −33.7298 | − | 9.63562i | −1.47349 | − | 0.420934i | ||||
\(525\) | 25.0022 | − | 3.59478i | 1.09119 | − | 0.156889i | ||||
\(526\) | 3.47071 | + | 15.6774i | 0.151330 | + | 0.683566i | ||||
\(527\) | 3.93157 | − | 4.53728i | 0.171262 | − | 0.197647i | ||||
\(528\) | 3.20401 | + | 20.1773i | 0.139437 | + | 0.878103i | ||||
\(529\) | −22.2665 | − | 5.76231i | −0.968108 | − | 0.250535i | ||||
\(530\) | 5.32537 | − | 14.4395i | 0.231319 | − | 0.627211i | ||||
\(531\) | −0.121725 | − | 0.105475i | −0.00528240 | − | 0.00457722i | ||||
\(532\) | −0.0969414 | + | 0.711262i | −0.00420294 | + | 0.0308371i | ||||
\(533\) | 4.05508 | − | 0.583033i | 0.175645 | − | 0.0252540i | ||||
\(534\) | 0.320242 | + | 4.25792i | 0.0138582 | + | 0.184258i | ||||
\(535\) | 1.34802 | − | 9.37570i | 0.0582801 | − | 0.405347i | ||||
\(536\) | 14.3399 | + | 14.0276i | 0.619389 | + | 0.605900i | ||||
\(537\) | −17.4667 | − | 11.2252i | −0.753746 | − | 0.484403i | ||||
\(538\) | 9.55682 | − | 9.62722i | 0.412024 | − | 0.415059i | ||||
\(539\) | −2.49058 | + | 8.48213i | −0.107277 | + | 0.365351i | ||||
\(540\) | −0.0587217 | − | 8.00078i | −0.00252698 | − | 0.344299i | ||||
\(541\) | −22.7389 | + | 19.7034i | −0.977621 | + | 0.847114i | −0.988253 | − | 0.152830i | \(-0.951161\pi\) |
0.0106311 | + | 0.999943i | \(0.496616\pi\) | |||||||
\(542\) | −10.4417 | + | 14.0557i | −0.448511 | + | 0.603746i | ||||
\(543\) | −10.1343 | + | 22.1911i | −0.434906 | + | 0.952310i | ||||
\(544\) | 7.95777 | + | 7.67097i | 0.341187 | + | 0.328890i | ||||
\(545\) | −27.3006 | + | 8.01619i | −1.16943 | + | 0.343376i | ||||
\(546\) | 9.72421 | + | 5.26359i | 0.416158 | + | 0.225261i | ||||
\(547\) | 27.3576 | − | 12.4938i | 1.16972 | − | 0.534195i | 0.266698 | − | 0.963780i | \(-0.414067\pi\) |
0.903026 | + | 0.429585i | \(0.141340\pi\) | |||||||
\(548\) | 5.54872 | − | 8.77492i | 0.237030 | − | 0.374846i | ||||
\(549\) | 8.37851 | + | 13.0372i | 0.357586 | + | 0.556415i | ||||
\(550\) | −69.6204 | + | 38.3480i | −2.96863 | + | 1.63516i | ||||
\(551\) | −1.03195 | −0.0439624 | ||||||||
\(552\) | −12.5758 | + | 5.08417i | −0.535262 | + | 0.216396i | ||||
\(553\) | −3.58261 | −0.152348 | ||||||||
\(554\) | −5.74431 | + | 3.16405i | −0.244052 | + | 0.134428i | ||||
\(555\) | −7.62890 | − | 11.8708i | −0.323829 | − | 0.503887i | ||||
\(556\) | 17.6735 | + | 11.1756i | 0.749523 | + | 0.473952i | ||||
\(557\) | 12.8991 | − | 5.89081i | 0.546552 | − | 0.249602i | −0.122949 | − | 0.992413i | \(-0.539235\pi\) |
0.669501 | + | 0.742811i | \(0.266508\pi\) | |||||||
\(558\) | 3.82144 | + | 2.06850i | 0.161775 | + | 0.0875665i | ||||
\(559\) | −37.5380 | + | 11.0221i | −1.58769 | + | 0.466187i | ||||
\(560\) | −33.6330 | − | 14.7670i | −1.42126 | − | 0.624019i | ||||
\(561\) | −4.14571 | + | 9.07784i | −0.175032 | + | 0.383267i | ||||
\(562\) | −20.8562 | + | 28.0748i | −0.879766 | + | 1.18426i | ||||
\(563\) | 13.7077 | − | 11.8778i | 0.577711 | − | 0.500590i | −0.316285 | − | 0.948664i | \(-0.602436\pi\) |
0.893996 | + | 0.448075i | \(0.147890\pi\) | |||||||
\(564\) | 9.71047 | − | 0.0712700i | 0.408884 | − | 0.00300101i | ||||
\(565\) | −7.80582 | + | 26.5842i | −0.328393 | + | 1.11840i | ||||
\(566\) | −22.3909 | + | 22.5559i | −0.941161 | + | 0.948094i | ||||
\(567\) | 1.93107 | + | 1.24102i | 0.0810974 | + | 0.0521181i | ||||
\(568\) | 22.7243 | − | 23.2302i | 0.953489 | − | 0.974717i | ||||
\(569\) | 1.22793 | − | 8.54041i | 0.0514773 | − | 0.358033i | −0.947760 | − | 0.318984i | \(-0.896658\pi\) |
0.999237 | − | 0.0390484i | \(-0.0124327\pi\) | |||||||
\(570\) | 0.0663452 | + | 0.882123i | 0.00277890 | + | 0.0369481i | ||||
\(571\) | −22.5086 | + | 3.23625i | −0.941956 | + | 0.135433i | −0.596150 | − | 0.802873i | \(-0.703304\pi\) |
−0.345806 | + | 0.938306i | \(0.612395\pi\) | |||||||
\(572\) | −34.4754 | − | 4.69882i | −1.44149 | − | 0.196468i | ||||
\(573\) | −4.07402 | − | 3.53016i | −0.170194 | − | 0.147474i | ||||
\(574\) | 1.35104 | − | 3.66328i | 0.0563914 | − | 0.152902i | ||||
\(575\) | −35.2000 | − | 39.3189i | −1.46794 | − | 1.63971i | ||||
\(576\) | −4.17591 | + | 6.82362i | −0.173996 | + | 0.284318i | ||||
\(577\) | 1.47403 | − | 1.70112i | 0.0613647 | − | 0.0708186i | −0.724237 | − | 0.689551i | \(-0.757808\pi\) |
0.785602 | + | 0.618732i | \(0.212353\pi\) | |||||||
\(578\) | −4.02956 | − | 18.2017i | −0.167607 | − | 0.757092i | ||||
\(579\) | 14.2880 | − | 2.05431i | 0.593790 | − | 0.0853741i | ||||
\(580\) | 14.5047 | − | 50.7740i | 0.602274 | − | 2.10827i | ||||
\(581\) | −5.77170 | − | 0.829845i | −0.239451 | − | 0.0344278i | ||||
\(582\) | 16.3777 | + | 1.11096i | 0.678878 | + | 0.0460509i | ||||
\(583\) | −11.6883 | − | 7.51163i | −0.484081 | − | 0.311100i | ||||
\(584\) | 3.23580 | + | 39.1763i | 0.133899 | + | 1.62113i | ||||
\(585\) | 13.0744 | + | 3.83899i | 0.540560 | + | 0.158723i | ||||
\(586\) | 7.73721 | + | 20.5140i | 0.319621 | + | 0.847426i | ||||
\(587\) | 7.56358 | − | 6.55388i | 0.312183 | − | 0.270508i | −0.484650 | − | 0.874708i | \(-0.661053\pi\) |
0.796832 | + | 0.604201i | \(0.206507\pi\) | |||||||
\(588\) | −2.89831 | + | 1.89283i | −0.119524 | + | 0.0780591i | ||||
\(589\) | −0.437020 | − | 0.199580i | −0.0180071 | − | 0.00822356i | ||||
\(590\) | −0.727471 | + | 0.548755i | −0.0299495 | + | 0.0225919i | ||||
\(591\) | −12.4650 | + | 3.66006i | −0.512743 | + | 0.150555i | ||||
\(592\) | 0.207096 | + | 14.1076i | 0.00851160 | + | 0.579817i | ||||
\(593\) | −1.72313 | − | 3.77312i | −0.0707604 | − | 0.154944i | 0.870947 | − | 0.491377i | \(-0.163506\pi\) |
−0.941707 | + | 0.336434i | \(0.890779\pi\) | |||||||
\(594\) | −7.06364 | − | 1.50947i | −0.289824 | − | 0.0619344i | ||||
\(595\) | −9.70066 | − | 15.0945i | −0.397688 | − | 0.618815i | ||||
\(596\) | 0.843556 | + | 5.57622i | 0.0345534 | + | 0.228411i | ||||
\(597\) | − | 0.426971i | − | 0.0174748i | ||||||
\(598\) | −2.10517 | − | 23.0056i | −0.0860869 | − | 0.940770i | ||||
\(599\) | −2.55040 | −0.104207 | −0.0521033 | − | 0.998642i | \(-0.516592\pi\) | ||||
−0.0521033 | + | 0.998642i | \(0.516592\pi\) | |||||||
\(600\) | −30.4837 | − | 6.28067i | −1.24449 | − | 0.256407i | ||||
\(601\) | 30.1161 | − | 19.3544i | 1.22846 | − | 0.789484i | 0.244811 | − | 0.969571i | \(-0.421274\pi\) |
0.983651 | + | 0.180086i | \(0.0576378\pi\) | |||||||
\(602\) | −7.79202 | + | 36.4630i | −0.317579 | + | 1.48612i | ||||
\(603\) | −6.45139 | + | 2.94625i | −0.262721 | + | 0.119981i | ||||
\(604\) | −15.9657 | + | 14.0409i | −0.649637 | + | 0.571315i | ||||
\(605\) | 17.0038 | + | 57.9097i | 0.691303 | + | 2.35436i | ||||
\(606\) | 10.3389 | − | 7.79897i | 0.419989 | − | 0.316812i | ||||
\(607\) | 13.8501 | − | 30.3275i | 0.562159 | − | 1.23096i | −0.388709 | − | 0.921360i | \(-0.627079\pi\) |
0.950868 | − | 0.309596i | \(-0.100194\pi\) | |||||||
\(608\) | 0.409583 | − | 0.783958i | 0.0166108 | − | 0.0317937i | ||||
\(609\) | 9.92093 | + | 11.4494i | 0.402016 | + | 0.463952i | ||||
\(610\) | 82.0363 | − | 30.9413i | 3.32155 | − | 1.25278i | ||||
\(611\) | −4.65934 | + | 15.8683i | −0.188497 | + | 0.641962i | ||||
\(612\) | −3.54269 | + | 1.64942i | −0.143205 | + | 0.0666739i | ||||
\(613\) | −20.5879 | + | 32.0354i | −0.831537 | + | 1.29390i | 0.121972 | + | 0.992534i | \(0.461078\pi\) |
−0.953509 | + | 0.301364i | \(0.902558\pi\) | |||||||
\(614\) | −12.8956 | − | 0.874759i | −0.520424 | − | 0.0353024i | ||||
\(615\) | 0.684764 | − | 4.76264i | 0.0276124 | − | 0.192048i | ||||
\(616\) | −19.5791 | + | 26.7638i | −0.788866 | + | 1.07835i | ||||
\(617\) | 1.00182 | + | 6.96782i | 0.0403318 | + | 0.280514i | 1.00000 | 0.000621840i | \(-0.000197938\pi\) | |
−0.959668 | + | 0.281136i | \(0.909289\pi\) | |||||||
\(618\) | 12.3237 | − | 2.72827i | 0.495734 | − | 0.109747i | ||||
\(619\) | 11.1982 | + | 9.70333i | 0.450095 | + | 0.390010i | 0.850200 | − | 0.526460i | \(-0.176481\pi\) |
−0.400105 | + | 0.916469i | \(0.631026\pi\) | |||||||
\(620\) | 15.9624 | − | 18.6971i | 0.641065 | − | 0.750893i | ||||
\(621\) | −0.0776085 | − | 4.79520i | −0.00311432 | − | 0.192425i | ||||
\(622\) | −2.09326 | + | 5.67578i | −0.0839322 | + | 0.227578i | ||||
\(623\) | −4.53866 | + | 5.23789i | −0.181837 | + | 0.209852i | ||||
\(624\) | −9.07244 | − | 10.1648i | −0.363188 | − | 0.406916i | ||||
\(625\) | −5.84457 | − | 40.6499i | −0.233783 | − | 1.62599i | ||||
\(626\) | 22.4750 | − | 1.69037i | 0.898282 | − | 0.0675606i | ||||
\(627\) | 0.790481 | + | 0.113654i | 0.0315688 | + | 0.00453891i | ||||
\(628\) | −14.0962 | + | 31.4758i | −0.562501 | + | 1.25602i | ||||
\(629\) | −3.72610 | + | 5.79793i | −0.148569 | + | 0.231179i | ||||
\(630\) | 9.14926 | − | 9.21666i | 0.364515 | − | 0.367200i | ||||
\(631\) | 7.23416 | + | 2.12414i | 0.287987 | + | 0.0845607i | 0.422536 | − | 0.906346i | \(-0.361140\pi\) |
−0.134548 | + | 0.990907i | \(0.542958\pi\) | |||||||
\(632\) | 4.15281 | + | 1.49705i | 0.165190 | + | 0.0595495i | ||||
\(633\) | −17.4753 | − | 20.1676i | −0.694582 | − | 0.801590i | ||||
\(634\) | 14.5718 | + | 10.8251i | 0.578718 | + | 0.429918i | ||||
\(635\) | −56.0239 | − | 25.5853i | −2.22324 | − | 1.01532i | ||||
\(636\) | −1.57106 | − | 5.20881i | −0.0622966 | − | 0.206543i | ||||
\(637\) | −1.66095 | − | 5.65667i | −0.0658092 | − | 0.224125i | ||||
\(638\) | −41.9236 | − | 22.6927i | −1.65977 | − | 0.898413i | ||||
\(639\) | 4.77283 | + | 10.4510i | 0.188810 | + | 0.413437i | ||||
\(640\) | 32.8155 | + | 31.1714i | 1.29714 | + | 1.23216i | ||||
\(641\) | 26.2777 | − | 16.8876i | 1.03790 | − | 0.667021i | 0.0934371 | − | 0.995625i | \(-0.470215\pi\) |
0.944468 | + | 0.328604i | \(0.106578\pi\) | |||||||
\(642\) | −1.61553 | − | 2.93298i | −0.0637598 | − | 0.115755i | ||||
\(643\) | 17.8392i | 0.703510i | 0.936092 | + | 0.351755i | \(0.114415\pi\) | ||||
−0.936092 | + | 0.351755i | \(0.885585\pi\) | |||||||
\(644\) | −20.2373 | − | 8.67275i | −0.797461 | − | 0.341754i | ||||
\(645\) | 45.9491i | 1.80924i | ||||||||
\(646\) | 0.378450 | − | 0.208456i | 0.0148899 | − | 0.00820159i | ||||
\(647\) | −7.09637 | + | 4.56056i | −0.278987 | + | 0.179294i | −0.672650 | − | 0.739961i | \(-0.734844\pi\) |
0.393663 | + | 0.919255i | \(0.371208\pi\) | |||||||
\(648\) | −1.71984 | − | 2.24548i | −0.0675616 | − | 0.0882106i | ||||
\(649\) | 0.341737 | + | 0.748300i | 0.0134144 | + | 0.0293734i | ||||
\(650\) | 25.2325 | − | 46.6158i | 0.989702 | − | 1.82842i | ||||
\(651\) | 1.98710 | + | 6.76743i | 0.0778804 | + | 0.265236i | ||||
\(652\) | 45.4180 | − | 13.6988i | 1.77871 | − | 0.536487i | ||||
\(653\) | 1.47773 | + | 0.674859i | 0.0578282 | + | 0.0264093i | 0.444119 | − | 0.895968i | \(-0.353517\pi\) |
−0.386291 | + | 0.922377i | \(0.626244\pi\) | |||||||
\(654\) | −5.99822 | + | 8.07428i | −0.234549 | + | 0.315729i | ||||
\(655\) | −45.9495 | − | 53.0286i | −1.79540 | − | 2.07200i | ||||
\(656\) | −3.09684 | + | 3.68178i | −0.120911 | + | 0.143749i | ||||
\(657\) | −13.3351 | − | 3.91554i | −0.520252 | − | 0.152760i | ||||
\(658\) | 11.1862 | + | 11.1044i | 0.436082 | + | 0.432893i | ||||
\(659\) | −19.8019 | + | 30.8123i | −0.771372 | + | 1.20028i | 0.203840 | + | 0.979004i | \(0.434658\pi\) |
−0.975212 | + | 0.221273i | \(0.928979\pi\) | |||||||
\(660\) | −16.7028 | + | 37.2959i | −0.650154 | + | 1.45174i | ||||
\(661\) | 15.0220 | + | 2.15984i | 0.584289 | + | 0.0840081i | 0.428119 | − | 0.903722i | \(-0.359176\pi\) |
0.156170 | + | 0.987730i | \(0.450085\pi\) | |||||||
\(662\) | 0.129181 | + | 1.71759i | 0.00502078 | + | 0.0667560i | ||||
\(663\) | −0.947160 | − | 6.58764i | −0.0367847 | − | 0.255843i | ||||
\(664\) | 6.34356 | + | 3.37372i | 0.246178 | + | 0.130926i | ||||
\(665\) | −0.940285 | + | 1.08515i | −0.0364627 | + | 0.0420802i | ||||
\(666\) | −4.68017 | − | 1.72607i | −0.181353 | − | 0.0668840i | ||||
\(667\) | 8.42467 | − | 30.5098i | 0.326204 | − | 1.18135i | ||||
\(668\) | −18.4080 | − | 15.7156i | −0.712229 | − | 0.608055i | ||||
\(669\) | −9.45377 | − | 8.19174i | −0.365504 | − | 0.316711i | ||||
\(670\) | 8.67303 | + | 39.1766i | 0.335068 | + | 1.51352i | ||||
\(671\) | −11.2647 | − | 78.3475i | −0.434867 | − | 3.02457i | ||||
\(672\) | −12.6356 | + | 2.99252i | −0.487429 | + | 0.115439i | ||||
\(673\) | 2.21118 | − | 15.3791i | 0.0852348 | − | 0.592821i | −0.901781 | − | 0.432194i | \(-0.857739\pi\) |
0.987015 | − | 0.160626i | \(-0.0513514\pi\) | |||||||
\(674\) | 0.116836 | − | 1.72238i | 0.00450034 | − | 0.0663435i | ||||
\(675\) | 5.94921 | − | 9.25715i | 0.228985 | − | 0.356308i | ||||
\(676\) | −2.53478 | + | 1.18015i | −0.0974914 | + | 0.0453905i | ||||
\(677\) | −9.96684 | + | 33.9439i | −0.383057 | + | 1.30457i | 0.512141 | + | 0.858901i | \(0.328853\pi\) |
−0.895198 | + | 0.445670i | \(0.852966\pi\) | |||||||
\(678\) | 3.45648 | + | 9.16433i | 0.132745 | + | 0.351954i | ||||
\(679\) | 17.4484 | + | 20.1365i | 0.669607 | + | 0.772768i | ||||
\(680\) | 4.93712 | + | 21.5506i | 0.189330 | + | 0.826426i | ||||
\(681\) | −6.80815 | + | 14.9078i | −0.260889 | + | 0.571267i | ||||
\(682\) | −13.3655 | − | 17.7183i | −0.511790 | − | 0.678468i | ||||
\(683\) | −5.37365 | − | 18.3010i | −0.205617 | − | 0.700267i | −0.996136 | − | 0.0878291i | \(-0.972007\pi\) |
0.790519 | − | 0.612438i | \(-0.209811\pi\) | |||||||
\(684\) | 0.206517 | + | 0.234828i | 0.00789636 | + | 0.00897888i | ||||
\(685\) | 18.8901 | − | 8.62682i | 0.721753 | − | 0.329614i | ||||
\(686\) | −27.7169 | − | 5.92301i | −1.05824 | − | 0.226141i | ||||
\(687\) | 23.0031 | − | 14.7832i | 0.877623 | − | 0.564014i | ||||
\(688\) | 24.2689 | − | 39.0105i | 0.925242 | − | 1.48726i | ||||
\(689\) | 9.26577 | 0.352998 | ||||||||
\(690\) | −26.6219 | − | 5.24002i | −1.01348 | − | 0.199484i | ||||
\(691\) | − | 12.1104i | − | 0.460700i | −0.973108 | − | 0.230350i | \(-0.926013\pi\) | ||
0.973108 | − | 0.230350i | \(-0.0739871\pi\) | |||||||
\(692\) | −7.53065 | − | 49.7804i | −0.286272 | − | 1.89237i | ||||
\(693\) | −6.33855 | − | 9.86298i | −0.240782 | − | 0.374664i | ||||
\(694\) | 1.47302 | − | 6.89305i | 0.0559151 | − | 0.261657i | ||||
\(695\) | 17.3752 | + | 38.0464i | 0.659079 | + | 1.44318i | ||||
\(696\) | −6.71564 | − | 17.4173i | −0.254556 | − | 0.660200i | ||||
\(697\) | −2.25489 | + | 0.662096i | −0.0854101 | + | 0.0250787i | ||||
\(698\) | −9.81303 | − | 13.0089i | −0.371429 | − | 0.492394i | ||||
\(699\) | −9.58090 | − | 4.37545i | −0.362383 | − | 0.165495i | ||||
\(700\) | −27.6236 | − | 42.2974i | −1.04407 | − | 1.59869i | ||||
\(701\) | −9.47628 | + | 8.21124i | −0.357914 | + | 0.310134i | −0.815193 | − | 0.579189i | \(-0.803369\pi\) |
0.457279 | + | 0.889323i | \(0.348824\pi\) | |||||||
\(702\) | 4.50712 | − | 1.69994i | 0.170110 | − | 0.0641600i | ||||
\(703\) | 0.529183 | + | 0.155382i | 0.0199585 | + | 0.00586034i | ||||
\(704\) | 33.8790 | − | 22.8421i | 1.27686 | − | 0.860894i | ||||
\(705\) | 16.3404 | + | 10.5013i | 0.615415 | + | 0.395503i | ||||
\(706\) | 1.64792 | − | 24.2934i | 0.0620201 | − | 0.914294i | ||||
\(707\) | 20.8066 | + | 2.99154i | 0.782514 | + | 0.112508i | ||||
\(708\) | −0.0884835 | + | 0.309739i | −0.00332541 | + | 0.0116407i | ||||
\(709\) | 21.9758 | − | 3.15964i | 0.825318 | − | 0.118663i | 0.283302 | − | 0.959031i | \(-0.408570\pi\) |
0.542016 | + | 0.840368i | \(0.317661\pi\) | |||||||
\(710\) | 63.4648 | − | 14.0500i | 2.38179 | − | 0.527289i | ||||
\(711\) | −1.02206 | + | 1.17952i | −0.0383303 | + | 0.0442355i | ||||
\(712\) | 7.44977 | − | 4.17500i | 0.279192 | − | 0.156465i | ||||
\(713\) | 9.46843 | − | 11.2913i | 0.354595 | − | 0.422862i | ||||
\(714\) | −5.95115 | − | 2.19482i | −0.222716 | − | 0.0821391i | ||||
\(715\) | −52.5978 | − | 45.5763i | −1.96705 | − | 1.70446i | ||||
\(716\) | −5.60787 | + | 41.1451i | −0.209576 | + | 1.53767i | ||||
\(717\) | 14.2273 | − | 2.04558i | 0.531328 | − | 0.0763934i | ||||
\(718\) | −42.4769 | + | 3.19472i | −1.58522 | + | 0.119226i | ||||
\(719\) | −0.874763 | + | 6.08411i | −0.0326232 | + | 0.226899i | −0.999610 | − | 0.0279274i | \(-0.991109\pi\) |
0.966987 | + | 0.254827i | \(0.0820184\pi\) | |||||||
\(720\) | −14.4568 | + | 6.86041i | −0.538773 | + | 0.255672i | ||||
\(721\) | 17.2352 | + | 11.0764i | 0.641871 | + | 0.412506i | ||||
\(722\) | 19.0451 | + | 18.9058i | 0.708784 | + | 0.703601i | ||||
\(723\) | 4.38189 | − | 14.9233i | 0.162964 | − | 0.555005i | ||||
\(724\) | 48.7900 | − | 0.358094i | 1.81327 | − | 0.0133085i | ||||
\(725\) | 54.8858 | − | 47.5588i | 2.03841 | − | 1.76629i | ||||
\(726\) | 17.1270 | + | 12.7233i | 0.635644 | + | 0.472207i | ||||
\(727\) | −6.45192 | + | 14.1277i | −0.239288 | + | 0.523968i | −0.990732 | − | 0.135828i | \(-0.956630\pi\) |
0.751444 | + | 0.659797i | \(0.229358\pi\) | |||||||
\(728\) | 1.33472 | − | 22.0745i | 0.0494679 | − | 0.818134i | ||||
\(729\) | 0.959493 | − | 0.281733i | 0.0355368 | − | 0.0104345i | ||||
\(730\) | −37.4295 | + | 69.1490i | −1.38533 | + | 2.55932i | ||||
\(731\) | 20.4144 | − | 9.32293i | 0.755053 | − | 0.344821i | ||||
\(732\) | 16.5652 | − | 26.1967i | 0.612268 | − | 0.968259i | ||||
\(733\) | −19.5675 | − | 30.4476i | −0.722741 | − | 1.12461i | −0.987088 | − | 0.160180i | \(-0.948793\pi\) |
0.264347 | − | 0.964428i | \(-0.414844\pi\) | |||||||
\(734\) | −1.57771 | − | 2.86432i | −0.0582344 | − | 0.105724i | ||||
\(735\) | −6.92416 | −0.255402 | ||||||||
\(736\) | 19.8342 | + | 18.5096i | 0.731098 | + | 0.682273i | ||||
\(737\) | 36.2241 | 1.33433 | ||||||||
\(738\) | −0.820652 | − | 1.48989i | −0.0302086 | − | 0.0548435i | ||||
\(739\) | 12.9076 | + | 20.0846i | 0.474814 | + | 0.738826i | 0.993213 | − | 0.116314i | \(-0.0371078\pi\) |
−0.518398 | + | 0.855139i | \(0.673471\pi\) | |||||||
\(740\) | −15.0831 | + | 23.8529i | −0.554467 | + | 0.876851i | ||||
\(741\) | −0.484459 | + | 0.221245i | −0.0177970 | + | 0.00812763i | ||||
\(742\) | 4.20370 | − | 7.76612i | 0.154323 | − | 0.285103i | ||||
\(743\) | 12.4750 | − | 3.66300i | 0.457664 | − | 0.134382i | −0.0447707 | − | 0.998997i | \(-0.514256\pi\) |
0.502435 | + | 0.864615i | \(0.332438\pi\) | |||||||
\(744\) | 0.524520 | − | 8.67487i | 0.0192298 | − | 0.318036i | ||||
\(745\) | −4.68619 | + | 10.2613i | −0.171689 | + | 0.375946i | ||||
\(746\) | −23.9073 | − | 17.7603i | −0.875310 | − | 0.650251i | ||||
\(747\) | −1.91979 | + | 1.66351i | −0.0702414 | + | 0.0608645i | ||||
\(748\) | 19.9588 | − | 0.146488i | 0.729768 | − | 0.00535613i | ||||
\(749\) | 1.53123 | − | 5.21490i | 0.0559500 | − | 0.190548i | ||||
\(750\) | −24.1069 | − | 23.9307i | −0.880261 | − | 0.873824i | ||||
\(751\) | −5.82228 | − | 3.74175i | −0.212458 | − | 0.136538i | 0.430084 | − | 0.902789i | \(-0.358484\pi\) |
−0.642542 | + | 0.766250i | \(0.722120\pi\) | |||||||
\(752\) | −8.32641 | − | 17.5460i | −0.303633 | − | 0.639839i | ||||
\(753\) | −0.983232 | + | 6.83853i | −0.0358310 | + | 0.249210i | ||||
\(754\) | 31.7021 | − | 2.38434i | 1.15452 | − | 0.0868326i | ||||
\(755\) | −42.0954 | + | 6.05241i | −1.53201 | + | 0.220270i | ||||
\(756\) | 0.619990 | − | 4.54888i | 0.0225488 | − | 0.165441i | ||||
\(757\) | 4.08841 | + | 3.54262i | 0.148596 | + | 0.128759i | 0.725986 | − | 0.687709i | \(-0.241384\pi\) |
−0.577391 | + | 0.816468i | \(0.695929\pi\) | |||||||
\(758\) | 21.0652 | + | 7.76896i | 0.765121 | + | 0.282181i | ||||
\(759\) | −9.81361 | + | 22.4430i | −0.356211 | + | 0.814629i | ||||
\(760\) | 1.54339 | − | 0.864945i | 0.0559845 | − | 0.0313748i | ||||
\(761\) | −17.3303 | + | 20.0002i | −0.628221 | + | 0.725006i | −0.977246 | − | 0.212108i | \(-0.931967\pi\) |
0.349025 | + | 0.937113i | \(0.386513\pi\) | |||||||
\(762\) | −21.2578 | + | 4.70612i | −0.770089 | + | 0.170485i | ||||
\(763\) | −16.1601 | + | 2.32348i | −0.585036 | + | 0.0841155i | ||||
\(764\) | −2.96146 | + | 10.3667i | −0.107142 | + | 0.375053i | ||||
\(765\) | −7.73710 | − | 1.11243i | −0.279735 | − | 0.0402199i | ||||
\(766\) | 0.522158 | − | 7.69760i | 0.0188663 | − | 0.278126i | ||||
\(767\) | −0.461523 | − | 0.296603i | −0.0166646 | − | 0.0107097i | ||||
\(768\) | 15.8972 | + | 1.81118i | 0.573639 | + | 0.0653555i | ||||
\(769\) | −4.25627 | − | 1.24975i | −0.153485 | − | 0.0450673i | 0.204087 | − | 0.978953i | \(-0.434577\pi\) |
−0.357573 | + | 0.933885i | \(0.616396\pi\) | |||||||
\(770\) | −62.0624 | + | 23.4079i | −2.23658 | + | 0.843562i | ||||
\(771\) | −11.4905 | + | 9.95656i | −0.413820 | + | 0.358577i | ||||
\(772\) | −15.7861 | − | 24.1717i | −0.568153 | − | 0.869959i | ||||
\(773\) | −6.17235 | − | 2.81882i | −0.222004 | − | 0.101386i | 0.301308 | − | 0.953527i | \(-0.402577\pi\) |
−0.523312 | + | 0.852141i | \(0.675304\pi\) | |||||||
\(774\) | 9.78198 | + | 12.9677i | 0.351606 | + | 0.466116i | ||||
\(775\) | 32.4416 | − | 9.52572i | 1.16534 | − | 0.342174i | ||||
\(776\) | −11.8111 | − | 30.6325i | −0.423993 | − | 1.09964i | ||||
\(777\) | −3.36351 | − | 7.36505i | −0.120665 | − | 0.264220i | ||||
\(778\) | −11.2666 | + | 52.7226i | −0.403928 | + | 1.89020i | ||||
\(779\) | 0.101674 | + | 0.158208i | 0.00364285 | + | 0.00566839i | ||||
\(780\) | −4.07635 | − | 26.9462i | −0.145957 | − | 0.964827i | ||||
\(781\) | − | 58.6818i | − | 2.09980i | ||||||
\(782\) | 3.07345 | + | 12.8908i | 0.109907 | + | 0.460975i | ||||
\(783\) | 6.59982 | 0.235858 | ||||||||
\(784\) | 5.87856 | + | 3.65713i | 0.209949 | + | 0.130612i | ||||
\(785\) | −58.0337 | + | 37.2960i | −2.07131 | + | 1.33115i | ||||
\(786\) | −24.2570 | − | 5.18363i | −0.865218 | − | 0.184894i | ||||
\(787\) | 31.5745 | − | 14.4196i | 1.12551 | − | 0.514004i | 0.236382 | − | 0.971660i | \(-0.424038\pi\) |
0.889129 | + | 0.457657i | \(0.151311\pi\) | |||||||
\(788\) | 17.1586 | + | 19.5109i | 0.611250 | + | 0.695047i | ||||
\(789\) | 3.19879 | + | 10.8941i | 0.113880 | + | 0.387839i | ||||
\(790\) | 5.31748 | + | 7.04925i | 0.189187 | + | 0.250801i | ||||
\(791\) | −6.60421 | + | 14.4612i | −0.234819 | + | 0.514181i | ||||
\(792\) | 3.22598 | + | 14.0814i | 0.114630 | + | 0.500362i | ||||
\(793\) | 34.5679 | + | 39.8935i | 1.22754 | + | 1.41666i | ||||
\(794\) | −13.8709 | − | 36.7765i | −0.492259 | − | 1.30515i | ||||
\(795\) | 3.06596 | − | 10.4417i | 0.108738 | − | 0.370329i | ||||
\(796\) | −0.774149 | + | 0.360432i | −0.0274390 | + | 0.0127752i | ||||
\(797\) | 1.03093 | − | 1.60416i | 0.0365174 | − | 0.0568222i | −0.822515 | − | 0.568744i | \(-0.807430\pi\) |
0.859032 | + | 0.511921i | \(0.171066\pi\) | |||||||
\(798\) | −0.0343527 | + | 0.506424i | −0.00121607 | + | 0.0179272i | ||||
\(799\) | 1.35014 | − | 9.39044i | 0.0477646 | − | 0.332210i | ||||
\(800\) | 14.3455 | + | 60.5724i | 0.507191 | + | 2.14156i | ||||
\(801\) | 0.429692 | + | 2.98857i | 0.0151824 | + | 0.105596i | ||||
\(802\) | −2.83464 | − | 12.8042i | −0.100095 | − | 0.452133i | ||||
\(803\) | 53.6467 | + | 46.4851i | 1.89315 | + | 1.64042i | ||||
\(804\) | 10.7879 | + | 9.21001i | 0.380460 | + | 0.324812i | ||||
\(805\) | −24.4064 | − | 36.6588i | −0.860211 | − | 1.29205i | ||||
\(806\) | 13.8867 | + | 5.12150i | 0.489138 | + | 0.180397i | ||||
\(807\) | 6.28148 | − | 7.24922i | 0.221119 | − | 0.255184i | ||||
\(808\) | −22.8681 | − | 12.1621i | −0.804498 | − | 0.427860i | ||||
\(809\) | −0.612404 | − | 4.25936i | −0.0215310 | − | 0.149751i | 0.976220 | − | 0.216783i | \(-0.0695563\pi\) |
−0.997751 | + | 0.0670315i | \(0.978647\pi\) | |||||||
\(810\) | −0.424311 | − | 5.64163i | −0.0149088 | − | 0.198227i | ||||
\(811\) | 3.75847 | + | 0.540386i | 0.131978 | + | 0.0189755i | 0.207987 | − | 0.978132i | \(-0.433309\pi\) |
−0.0760094 | + | 0.997107i | \(0.524218\pi\) | |||||||
\(812\) | 12.3842 | − | 27.6529i | 0.434600 | − | 0.970426i | ||||
\(813\) | −6.69384 | + | 10.4158i | −0.234763 | + | 0.365299i | ||||
\(814\) | 18.0816 | + | 17.9494i | 0.633759 | + | 0.629125i | ||||
\(815\) | 91.0460 | + | 26.7335i | 3.18920 | + | 0.936435i | ||||
\(816\) | 5.98119 | + | 5.03094i | 0.209384 | + | 0.176118i | ||||
\(817\) | −1.17608 | − | 1.35727i | −0.0411458 | − | 0.0474848i | ||||
\(818\) | 10.8316 | − | 14.5806i | 0.378719 | − | 0.509798i | ||||
\(819\) | 7.11219 | + | 3.24803i | 0.248520 | + | 0.113495i | ||||
\(820\) | −9.21328 | + | 2.77887i | −0.321742 | + | 0.0970424i | ||||
\(821\) | −6.07315 | − | 20.6833i | −0.211954 | − | 0.721850i | −0.994999 | − | 0.0998849i | \(-0.968153\pi\) |
0.783045 | − | 0.621966i | \(-0.213666\pi\) | |||||||
\(822\) | 3.49461 | − | 6.45612i | 0.121889 | − | 0.225183i | ||||
\(823\) | 6.54417 | + | 14.3297i | 0.228115 | + | 0.499503i | 0.988732 | − | 0.149699i | \(-0.0478303\pi\) |
−0.760616 | + | 0.649202i | \(0.775103\pi\) | |||||||
\(824\) | −15.3499 | − | 20.0413i | −0.534738 | − | 0.698171i | ||||
\(825\) | −47.2810 | + | 30.3857i | −1.64611 | + | 1.05789i | ||||
\(826\) | −0.457982 | + | 0.252263i | −0.0159352 | + | 0.00877736i | ||||
\(827\) | − | 8.93087i | − | 0.310557i | −0.987871 | − | 0.155278i | \(-0.950373\pi\) | ||
0.987871 | − | 0.155278i | \(-0.0496275\pi\) | |||||||
\(828\) | −8.62875 | + | 4.18863i | −0.299870 | + | 0.145565i | ||||
\(829\) | 31.4486i | 1.09226i | 0.837702 | + | 0.546128i | \(0.183899\pi\) | ||||
−0.837702 | + | 0.546128i | \(0.816101\pi\) | |||||||
\(830\) | 6.93381 | + | 12.5883i | 0.240676 | + | 0.436946i | ||||
\(831\) | −3.90111 | + | 2.50709i | −0.135328 | + | 0.0869701i | ||||
\(832\) | −10.7713 | + | 25.0301i | −0.373429 | + | 0.867762i | ||||
\(833\) | 1.40489 | + | 3.07628i | 0.0486766 | + | 0.106587i | ||||
\(834\) | 13.0032 | + | 7.03847i | 0.450264 | + | 0.243722i | ||||
\(835\) | −13.6398 | − | 46.4530i | −0.472026 | − | 1.60757i | ||||
\(836\) | −0.461224 | − | 1.52918i | −0.0159518 | − | 0.0528877i | ||||
\(837\) | 2.79496 | + | 1.27642i | 0.0966081 | + | 0.0441194i | ||||
\(838\) | −45.0117 | − | 33.4383i | −1.55490 | − | 1.15511i | ||||
\(839\) | 4.06432 | + | 4.69048i | 0.140316 | + | 0.161933i | 0.821558 | − | 0.570125i | \(-0.193105\pi\) |
−0.681242 | + | 0.732058i | \(0.738560\pi\) | |||||||
\(840\) | −24.4343 | − | 8.80835i | −0.843064 | − | 0.303917i | ||||
\(841\) | 13.9679 | + | 4.10135i | 0.481652 | + | 0.141426i | ||||
\(842\) | −11.6442 | + | 11.7299i | −0.401284 | + | 0.404240i | ||||
\(843\) | −13.3702 | + | 20.8045i | −0.460495 | + | 0.716543i | ||||
\(844\) | −21.8143 | + | 48.7095i | −0.750878 | + | 1.67665i | ||||
\(845\) | −5.53585 | − | 0.795936i | −0.190439 | − | 0.0273810i | ||||
\(846\) | 6.84718 | − | 0.514982i | 0.235411 | − | 0.0177055i | ||||
\(847\) | 4.92852 | + | 34.2786i | 0.169346 | + | 1.17783i | ||||
\(848\) | −8.11796 | + | 7.24558i | −0.278772 | + | 0.248814i | ||||
\(849\) | −14.7170 | + | 16.9844i | −0.505088 | + | 0.582902i | ||||
\(850\) | −10.5215 | + | 28.5286i | −0.360885 | + | 0.978521i | ||||
\(851\) | −8.91410 | + | 14.3769i | −0.305571 | + | 0.492835i | ||||
\(852\) | 14.9199 | − | 17.4761i | 0.511148 | − | 0.598720i | ||||
\(853\) | −11.0637 | − | 9.58674i | −0.378813 | − | 0.328244i | 0.444554 | − | 0.895752i | \(-0.353362\pi\) |
−0.823368 | + | 0.567508i | \(0.807907\pi\) | |||||||
\(854\) | 49.1196 | − | 10.8742i | 1.68084 | − | 0.372109i | ||||
\(855\) | 0.0890203 | + | 0.619150i | 0.00304443 | + | 0.0211745i | ||||
\(856\) | −3.95407 | + | 5.40505i | −0.135147 | + | 0.184741i | ||||
\(857\) | 5.67426 | − | 39.4653i | 0.193829 | − | 1.34811i | −0.627928 | − | 0.778271i | \(-0.716097\pi\) |
0.821757 | − | 0.569838i | \(-0.192994\pi\) | |||||||
\(858\) | −24.5467 | − | 1.66510i | −0.838012 | − | 0.0568456i | ||||
\(859\) | 3.50232 | − | 5.44971i | 0.119497 | − | 0.185942i | −0.776352 | − | 0.630300i | \(-0.782932\pi\) |
0.895849 | + | 0.444358i | \(0.146568\pi\) | |||||||
\(860\) | 83.3111 | − | 38.7884i | 2.84089 | − | 1.32267i | ||||
\(861\) | 0.777831 | − | 2.64905i | 0.0265084 | − | 0.0902793i | ||||
\(862\) | −11.3893 | + | 4.29565i | −0.387920 | + | 0.146311i | ||||
\(863\) | 12.7702 | + | 14.7375i | 0.434701 | + | 0.501672i | 0.930259 | − | 0.366903i | \(-0.119582\pi\) |
−0.495558 | + | 0.868575i | \(0.665036\pi\) | |||||||
\(864\) | −2.61949 | + | 5.01381i | −0.0891169 | + | 0.170573i | ||||
\(865\) | 41.8348 | − | 91.6055i | 1.42243 | − | 3.11468i | ||||
\(866\) | 16.1268 | − | 12.1650i | 0.548012 | − | 0.413383i | ||||
\(867\) | −3.71385 | − | 12.6482i | −0.126129 | − | 0.429556i | ||||
\(868\) | 10.5927 | − | 9.31563i | 0.359540 | − | 0.316193i | ||||
\(869\) | 7.25109 | − | 3.31146i | 0.245976 | − | 0.112334i | ||||
\(870\) | 7.80300 | − | 36.5144i | 0.264547 | − | 1.23796i | ||||
\(871\) | −20.3226 | + | 13.0606i | −0.688607 | + | 0.442541i | ||||
\(872\) | 19.7031 | + | 4.05950i | 0.667230 | + | 0.137472i | ||||
\(873\) | 11.6074 | 0.392851 | ||||||||
\(874\) | 0.920491 | − | 0.526613i | 0.0311361 | − | 0.0178129i | ||||
\(875\) | − | 55.1348i | − | 1.86390i | ||||||
\(876\) | 4.15763 | + | 27.4835i | 0.140473 | + | 0.928580i | ||||
\(877\) | −5.26868 | − | 8.19823i | −0.177911 | − | 0.276835i | 0.740833 | − | 0.671690i | \(-0.234431\pi\) |
−0.918743 | + | 0.394855i | \(0.870795\pi\) | |||||||
\(878\) | 4.71879 | + | 1.00839i | 0.159251 | + | 0.0340315i | ||||
\(879\) | 6.44020 | + | 14.1021i | 0.217223 | + | 0.475651i | ||||
\(880\) | 81.7217 | − | 1.19966i | 2.75484 | − | 0.0404404i | ||||
\(881\) | 11.8052 | − | 3.46633i | 0.397729 | − | 0.116784i | −0.0767506 | − | 0.997050i | \(-0.524455\pi\) |
0.474479 | + | 0.880267i | \(0.342636\pi\) | |||||||
\(882\) | −1.95413 | + | 1.47407i | −0.0657991 | + | 0.0496344i | ||||
\(883\) | −20.4710 | − | 9.34881i | −0.688905 | − | 0.314612i | 0.0400268 | − | 0.999199i | \(-0.487256\pi\) |
−0.728932 | + | 0.684586i | \(0.759983\pi\) | |||||||
\(884\) | −11.1446 | + | 7.27834i | −0.374834 | + | 0.244797i | ||||
\(885\) | −0.486959 | + | 0.421952i | −0.0163690 | + | 0.0141838i | ||||
\(886\) | 7.52332 | + | 19.9469i | 0.252751 | + | 0.670131i | ||||
\(887\) | 4.50840 | + | 1.32379i | 0.151377 | + | 0.0444484i | 0.356543 | − | 0.934279i | \(-0.383955\pi\) |
−0.205166 | + | 0.978727i | \(0.565773\pi\) | |||||||
\(888\) | 0.821233 | + | 9.94277i | 0.0275588 | + | 0.333658i | ||||
\(889\) | −29.7298 | − | 19.1062i | −0.997105 | − | 0.640800i | ||||
\(890\) | 17.0427 | + | 1.15608i | 0.571274 | + | 0.0387517i | ||||
\(891\) | −5.05553 | − | 0.726875i | −0.169367 | − | 0.0243512i | ||||
\(892\) | −6.87209 | + | 24.0559i | −0.230095 | + | 0.805452i | ||||
\(893\) | −0.751456 | + | 0.108043i | −0.0251465 | + | 0.00361552i | ||||
\(894\) | 0.861971 | + | 3.89357i | 0.0288286 | + | 0.130221i | ||||
\(895\) | −54.3937 | + | 62.7736i | −1.81818 | + | 2.09829i | ||||
\(896\) | 16.0923 | + | 20.3837i | 0.537605 | + | 0.680970i | ||||
\(897\) | −2.58612 | − | 16.1294i | −0.0863481 | − | 0.538545i | ||||
\(898\) | 1.42947 | − | 3.87594i | 0.0477020 | − | 0.129342i | ||||
\(899\) | 15.3257 | + | 13.2798i | 0.511141 | + | 0.442906i | ||||
\(900\) | −21.8064 | − | 2.97210i | −0.726879 | − | 0.0990700i | ||||
\(901\) | −5.26113 | + | 0.756437i | −0.175274 | + | 0.0252006i | ||||
\(902\) | 0.651564 | + | 8.66317i | 0.0216947 | + | 0.288452i | ||||
\(903\) | −3.75219 | + | 26.0970i | −0.124865 | + | 0.868455i | ||||
\(904\) | 13.6982 | − | 14.0032i | 0.455595 | − | 0.465738i | ||||
\(905\) | 82.1020 | + | 52.7638i | 2.72916 | + | 1.75393i | ||||
\(906\) | −10.5917 | + | 10.6697i | −0.351885 | + | 0.354477i | ||||
\(907\) | −10.2626 | + | 34.9512i | −0.340764 | + | 1.16054i | 0.593762 | + | 0.804641i | \(0.297642\pi\) |
−0.934526 | + | 0.355895i | \(0.884176\pi\) | |||||||
\(908\) | 32.7767 | − | 0.240565i | 1.08773 | − | 0.00798341i | ||||
\(909\) | 6.92072 | − | 5.99684i | 0.229546 | − | 0.198903i | ||||
\(910\) | 26.3789 | − | 35.5090i | 0.874454 | − | 1.17711i | ||||
\(911\) | 3.68447 | − | 8.06785i | 0.122072 | − | 0.267300i | −0.838724 | − | 0.544557i | \(-0.816698\pi\) |
0.960796 | + | 0.277257i | \(0.0894252\pi\) | |||||||
\(912\) | 0.251438 | − | 0.572672i | 0.00832594 | − | 0.0189631i | ||||
\(913\) | 12.4488 | − | 3.65530i | 0.411995 | − | 0.120973i | ||||
\(914\) | 43.3417 | + | 23.4603i | 1.43362 | + | 0.775998i | ||||
\(915\) | 56.3947 | − | 25.7546i | 1.86435 | − | 0.851420i | ||||
\(916\) | −46.2219 | − | 29.2279i | −1.52722 | − | 0.965718i | ||||
\(917\) | −21.7670 | − | 33.8701i | −0.718809 | − | 1.11849i | ||||
\(918\) | −2.42038 | + | 1.33318i | −0.0798845 | + | 0.0440016i | ||||
\(919\) | −46.6271 | −1.53809 | −0.769043 | − | 0.639197i | \(-0.779267\pi\) | ||||
−0.769043 | + | 0.639197i | \(0.779267\pi\) | |||||||
\(920\) | 12.9724 | + | 52.6920i | 0.427687 | + | 1.73721i | ||||
\(921\) | −9.13953 | −0.301158 | ||||||||
\(922\) | 48.2337 | − | 26.5679i | 1.58849 | − | 0.874966i | ||||
\(923\) | 21.1577 | + | 32.9220i | 0.696415 | + | 1.08364i | ||||
\(924\) | −12.5320 | + | 19.8185i | −0.412272 | + | 0.651980i | ||||
\(925\) | −35.3065 | + | 16.1239i | −1.16087 | + | 0.530152i | ||||
\(926\) | −25.8562 | − | 13.9956i | −0.849686 | − | 0.459924i | ||||
\(927\) | 8.56366 | − | 2.51452i | 0.281267 | − | 0.0825876i | ||||
\(928\) | −25.9105 | + | 26.8792i | −0.850553 | + | 0.882353i | ||||
\(929\) | 17.0065 | − | 37.2391i | 0.557966 | − | 1.22178i | −0.394995 | − | 0.918683i | \(-0.629254\pi\) |
0.952961 | − | 0.303093i | \(-0.0980192\pi\) | |||||||
\(930\) | 10.3665 | − | 13.9544i | 0.339930 | − | 0.457583i | ||||
\(931\) | 0.204530 | − | 0.177226i | 0.00670318 | − | 0.00580834i | ||||
\(932\) | 0.154606 | + | 21.0649i | 0.00506428 | + | 0.690003i | ||||
\(933\) | −1.20515 | + | 4.10436i | −0.0394548 | + | 0.134371i | ||||
\(934\) | 23.3494 | − | 23.5214i | 0.764016 | − | 0.769645i | ||||
\(935\) | 33.5860 | + | 21.5844i | 1.09838 | + | 0.705885i | ||||
\(936\) | −6.88692 | − | 6.73693i | −0.225106 | − | 0.220203i | ||||
\(937\) | 4.02883 | − | 28.0211i | 0.131616 | − | 0.915410i | −0.811832 | − | 0.583890i | \(-0.801530\pi\) |
0.943448 | − | 0.331519i | \(-0.107561\pi\) | |||||||
\(938\) | 1.72675 | + | 22.9588i | 0.0563804 | + | 0.749631i | ||||
\(939\) | 15.7749 | − | 2.26809i | 0.514795 | − | 0.0740163i | ||||
\(940\) | 5.24625 | − | 38.4919i | 0.171114 | − | 1.25547i | ||||
\(941\) | 22.8045 | + | 19.7602i | 0.743405 | + | 0.644164i | 0.941883 | − | 0.335941i | \(-0.109054\pi\) |
−0.198478 | + | 0.980105i | \(0.563600\pi\) | |||||||
\(942\) | −8.43840 | + | 22.8803i | −0.274938 | + | 0.745480i | ||||
\(943\) | −5.50753 | + | 1.71444i | −0.179350 | + | 0.0558299i | ||||
\(944\) | 0.636287 | − | 0.101038i | 0.0207094 | − | 0.00328851i | ||||
\(945\) | 6.01360 | − | 6.94006i | 0.195622 | − | 0.225760i | ||||
\(946\) | −17.9326 | − | 81.0024i | −0.583038 | − | 2.63362i | ||||
\(947\) | −50.4349 | + | 7.25144i | −1.63891 | + | 0.235640i | −0.899281 | − | 0.437371i | \(-0.855910\pi\) |
−0.739632 | + | 0.673011i | \(0.765001\pi\) | |||||||
\(948\) | 3.00139 | + | 0.857412i | 0.0974807 | + | 0.0278474i | ||||
\(949\) | −46.8574 | − | 6.73707i | −1.52105 | − | 0.218695i | ||||
\(950\) | 2.42769 | + | 0.164680i | 0.0787647 | + | 0.00534292i | ||||
\(951\) | 10.7982 | + | 6.93958i | 0.350156 | + | 0.225031i | ||||
\(952\) | 1.04425 | + | 12.6429i | 0.0338444 | + | 0.409759i | ||||
\(953\) | −53.1082 | − | 15.5940i | −1.72034 | − | 0.505138i | −0.735343 | − | 0.677696i | \(-0.762979\pi\) |
−0.984999 | + | 0.172558i | \(0.944797\pi\) | |||||||
\(954\) | −1.35763 | − | 3.59956i | −0.0439550 | − | 0.116540i | ||||
\(955\) | −16.2981 | + | 14.1224i | −0.527394 | + | 0.456990i | ||||
\(956\) | −15.7190 | − | 24.0690i | −0.508388 | − | 0.778446i | ||||
\(957\) | −30.6625 | − | 14.0031i | −0.991178 | − | 0.452656i | ||||
\(958\) | 18.4514 | − | 13.9185i | 0.596139 | − | 0.449687i | ||||
\(959\) | 11.4332 | − | 3.35709i | 0.369197 | − | 0.108406i | ||||
\(960\) | 24.6426 | + | 20.4206i | 0.795335 | + | 0.659071i | ||||
\(961\) | −8.95591 | − | 19.6107i | −0.288900 | − | 0.632603i | ||||
\(962\) | −16.6159 | − | 3.55075i | −0.535718 | − | 0.114481i | ||||
\(963\) | −1.28009 | − | 1.99186i | −0.0412504 | − | 0.0641869i | ||||
\(964\) | −30.7568 | + | 4.65280i | −0.990609 | + | 0.149857i | ||||
\(965\) | − | 57.7470i | − | 1.85894i | ||||||
\(966\) | −14.6921 | − | 5.15003i | −0.472712 | − | 0.165699i | ||||
\(967\) | 33.2560 | 1.06944 | 0.534721 | − | 0.845029i | \(-0.320417\pi\) | ||||
0.534721 | + | 0.845029i | \(0.320417\pi\) | |||||||
\(968\) | 8.61095 | − | 41.7939i | 0.276766 | − | 1.34331i | ||||
\(969\) | 0.257015 | − | 0.165174i | 0.00825652 | − | 0.00530614i | ||||
\(970\) | 13.7235 | − | 64.2196i | 0.440635 | − | 2.06197i | ||||
\(971\) | 0.794721 | − | 0.362937i | 0.0255038 | − | 0.0116472i | −0.402622 | − | 0.915366i | \(-0.631901\pi\) |
0.428126 | + | 0.903719i | \(0.359174\pi\) | |||||||
\(972\) | −1.32078 | − | 1.50185i | −0.0423640 | − | 0.0481717i | ||||
\(973\) | 6.76148 | + | 23.0275i | 0.216763 | + | 0.738227i | ||||
\(974\) | 19.6817 | − | 14.8466i | 0.630643 | − | 0.475715i | ||||
\(975\) | 15.5704 | − | 34.0943i | 0.498650 | − | 1.09189i | ||||
\(976\) | −61.4814 | − | 7.92044i | −1.96797 | − | 0.253527i | ||||
\(977\) | −40.1753 | − | 46.3648i | −1.28532 | − | 1.48334i | −0.787856 | − | 0.615859i | \(-0.788809\pi\) |
−0.497467 | − | 0.867483i | \(-0.665736\pi\) | |||||||
\(978\) | 31.3862 | − | 11.8378i | 1.00362 | − | 0.378532i | ||||
\(979\) | 4.34464 | − | 14.7965i | 0.138855 | − | 0.472898i | ||||
\(980\) | 5.84510 | + | 12.5543i | 0.186715 | + | 0.401033i | ||||
\(981\) | −3.84526 | + | 5.98334i | −0.122770 | + | 0.191033i | ||||
\(982\) | −15.8876 | − | 1.07772i | −0.506993 | − | 0.0343913i | ||||
\(983\) | −3.06714 | + | 21.3324i | −0.0978266 | + | 0.680399i | 0.880609 | + | 0.473844i | \(0.157134\pi\) |
−0.978435 | + | 0.206554i | \(0.933775\pi\) | |||||||
\(984\) | −2.00858 | + | 2.74564i | −0.0640312 | + | 0.0875278i | ||||
\(985\) | 7.39633 | + | 51.4426i | 0.235667 | + | 1.63910i | ||||
\(986\) | −17.8059 | + | 3.94193i | −0.567056 | + | 0.125537i | ||||
\(987\) | 8.42308 | + | 7.29864i | 0.268110 | + | 0.232318i | ||||
\(988\) | 0.810103 | + | 0.691614i | 0.0257728 | + | 0.0220032i | ||||
\(989\) | 49.7295 | − | 23.6906i | 1.58131 | − | 0.753319i | ||||
\(990\) | −9.99873 | + | 27.1111i | −0.317780 | + | 0.861646i | ||||
\(991\) | −6.00772 | + | 6.93328i | −0.190841 | + | 0.220243i | −0.843104 | − | 0.537750i | \(-0.819274\pi\) |
0.652263 | + | 0.757993i | \(0.273820\pi\) | |||||||
\(992\) | −16.1713 | + | 6.37196i | −0.513440 | + | 0.202310i | ||||
\(993\) | 0.173332 | + | 1.20555i | 0.00550054 | + | 0.0382571i | ||||
\(994\) | 37.1925 | − | 2.79728i | 1.17967 | − | 0.0887243i | ||||
\(995\) | −1.69071 | − | 0.243088i | −0.0535992 | − | 0.00770640i | ||||
\(996\) | 4.63674 | + | 2.07654i | 0.146921 | + | 0.0657976i | ||||
\(997\) | 5.25896 | − | 8.18310i | 0.166553 | − | 0.259161i | −0.747937 | − | 0.663769i | \(-0.768956\pi\) |
0.914490 | + | 0.404608i | \(0.132592\pi\) | |||||||
\(998\) | 23.2365 | − | 23.4076i | 0.735538 | − | 0.740956i | ||||
\(999\) | −3.38439 | − | 0.993747i | −0.107077 | − | 0.0314408i |
(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 | 552.2.bb.a.85.17 | yes | 480 | |
8.5 | even | 2 | inner | 552.2.bb.a.85.43 | yes | 480 | |
23.13 | even | 11 | inner | 552.2.bb.a.13.43 | yes | 480 | |
184.13 | even | 22 | inner | 552.2.bb.a.13.17 | ✓ | 480 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
552.2.bb.a.13.17 | ✓ | 480 | 184.13 | even | 22 | inner | |
552.2.bb.a.13.43 | yes | 480 | 23.13 | even | 11 | inner | |
552.2.bb.a.85.17 | yes | 480 | 1.1 | even | 1 | trivial | |
552.2.bb.a.85.43 | yes | 480 | 8.5 | even | 2 | inner |