Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(31,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 0, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.31");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.m (of order \(11\), 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: | \(5.50967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(30\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 301.3 | ||
Character | \(\chi\) | \(=\) | 690.301 |
Dual form | 690.2.m.g.541.3 |
$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{1}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.841254 | + | 0.540641i | 0.594856 | + | 0.382291i | ||||
\(3\) | −0.142315 | − | 0.989821i | −0.0821655 | − | 0.571474i | ||||
\(4\) | 0.415415 | + | 0.909632i | 0.207708 | + | 0.454816i | ||||
\(5\) | −0.959493 | − | 0.281733i | −0.429098 | − | 0.125995i | ||||
\(6\) | 0.415415 | − | 0.909632i | 0.169592 | − | 0.371356i | ||||
\(7\) | 1.76004 | − | 2.03119i | 0.665232 | − | 0.767719i | −0.318390 | − | 0.947960i | \(-0.603142\pi\) |
0.983623 | + | 0.180241i | \(0.0576877\pi\) | |||||||
\(8\) | −0.142315 | + | 0.989821i | −0.0503159 | + | 0.349955i | ||||
\(9\) | −0.959493 | + | 0.281733i | −0.319831 | + | 0.0939109i | ||||
\(10\) | −0.654861 | − | 0.755750i | −0.207085 | − | 0.238989i | ||||
\(11\) | 1.98022 | − | 1.27261i | 0.597060 | − | 0.383707i | −0.206925 | − | 0.978357i | \(-0.566346\pi\) |
0.803985 | + | 0.594650i | \(0.202709\pi\) | |||||||
\(12\) | 0.841254 | − | 0.540641i | 0.242849 | − | 0.156070i | ||||
\(13\) | −1.36158 | − | 1.57134i | −0.377633 | − | 0.435812i | 0.534837 | − | 0.844955i | \(-0.320373\pi\) |
−0.912470 | + | 0.409143i | \(0.865828\pi\) | |||||||
\(14\) | 2.57879 | − | 0.757200i | 0.689209 | − | 0.202370i | ||||
\(15\) | −0.142315 | + | 0.989821i | −0.0367455 | + | 0.255571i | ||||
\(16\) | −0.654861 | + | 0.755750i | −0.163715 | + | 0.188937i | ||||
\(17\) | 1.96729 | − | 4.30776i | 0.477138 | − | 1.04479i | −0.506103 | − | 0.862473i | \(-0.668914\pi\) |
0.983241 | − | 0.182313i | \(-0.0583584\pi\) | |||||||
\(18\) | −0.959493 | − | 0.281733i | −0.226155 | − | 0.0664050i | ||||
\(19\) | 1.47474 | + | 3.22923i | 0.338328 | + | 0.740836i | 0.999960 | − | 0.00899360i | \(-0.00286279\pi\) |
−0.661631 | + | 0.749829i | \(0.730136\pi\) | |||||||
\(20\) | −0.142315 | − | 0.989821i | −0.0318226 | − | 0.221331i | ||||
\(21\) | −2.26100 | − | 1.45306i | −0.493390 | − | 0.317083i | ||||
\(22\) | 2.35390 | 0.501852 | ||||||||
\(23\) | −0.956931 | − | 4.69939i | −0.199534 | − | 0.979891i | ||||
\(24\) | 1.00000 | 0.204124 | ||||||||
\(25\) | 0.841254 | + | 0.540641i | 0.168251 | + | 0.108128i | ||||
\(26\) | −0.295899 | − | 2.05802i | −0.0580305 | − | 0.403611i | ||||
\(27\) | 0.415415 | + | 0.909632i | 0.0799467 | + | 0.175059i | ||||
\(28\) | 2.57879 | + | 0.757200i | 0.487345 | + | 0.143097i | ||||
\(29\) | 2.69293 | − | 5.89669i | 0.500064 | − | 1.09499i | −0.476384 | − | 0.879237i | \(-0.658053\pi\) |
0.976449 | − | 0.215751i | \(-0.0692198\pi\) | |||||||
\(30\) | −0.654861 | + | 0.755750i | −0.119561 | + | 0.137980i | ||||
\(31\) | −0.280522 | + | 1.95108i | −0.0503833 | + | 0.350424i | 0.948999 | + | 0.315279i | \(0.102098\pi\) |
−0.999382 | + | 0.0351444i | \(0.988811\pi\) | |||||||
\(32\) | −0.959493 | + | 0.281733i | −0.169616 | + | 0.0498038i | ||||
\(33\) | −1.54147 | − | 1.77896i | −0.268336 | − | 0.309676i | ||||
\(34\) | 3.98394 | − | 2.56032i | 0.683241 | − | 0.439092i | ||||
\(35\) | −2.26100 | + | 1.45306i | −0.382179 | + | 0.245611i | ||||
\(36\) | −0.654861 | − | 0.755750i | −0.109143 | − | 0.125958i | ||||
\(37\) | 7.79797 | − | 2.28969i | 1.28198 | − | 0.376423i | 0.431347 | − | 0.902186i | \(-0.358039\pi\) |
0.850631 | + | 0.525764i | \(0.176220\pi\) | |||||||
\(38\) | −0.505223 | + | 3.51390i | −0.0819580 | + | 0.570031i | ||||
\(39\) | −1.36158 | + | 1.57134i | −0.218027 | + | 0.251616i | ||||
\(40\) | 0.415415 | − | 0.909632i | 0.0656829 | − | 0.143825i | ||||
\(41\) | −0.914376 | − | 0.268485i | −0.142802 | − | 0.0419303i | 0.209551 | − | 0.977798i | \(-0.432800\pi\) |
−0.352352 | + | 0.935867i | \(0.614618\pi\) | |||||||
\(42\) | −1.11649 | − | 2.44478i | −0.172278 | − | 0.377237i | ||||
\(43\) | 0.512153 | + | 3.56210i | 0.0781026 | + | 0.543216i | 0.990879 | + | 0.134756i | \(0.0430250\pi\) |
−0.912776 | + | 0.408460i | \(0.866066\pi\) | |||||||
\(44\) | 1.98022 | + | 1.27261i | 0.298530 | + | 0.191854i | ||||
\(45\) | 1.00000 | 0.149071 | ||||||||
\(46\) | 1.73566 | − | 4.47074i | 0.255909 | − | 0.659174i | ||||
\(47\) | −1.28736 | −0.187780 | −0.0938902 | − | 0.995583i | \(-0.529930\pi\) | ||||
−0.0938902 | + | 0.995583i | \(0.529930\pi\) | |||||||
\(48\) | 0.841254 | + | 0.540641i | 0.121424 | + | 0.0780348i | ||||
\(49\) | −0.0318055 | − | 0.221212i | −0.00454364 | − | 0.0316017i | ||||
\(50\) | 0.415415 | + | 0.909632i | 0.0587486 | + | 0.128641i | ||||
\(51\) | −4.54389 | − | 1.33421i | −0.636272 | − | 0.186826i | ||||
\(52\) | 0.863725 | − | 1.89129i | 0.119777 | − | 0.262275i | ||||
\(53\) | −2.57228 | + | 2.96856i | −0.353329 | + | 0.407764i | −0.904394 | − | 0.426699i | \(-0.859676\pi\) |
0.551065 | + | 0.834463i | \(0.314222\pi\) | |||||||
\(54\) | −0.142315 | + | 0.989821i | −0.0193666 | + | 0.134698i | ||||
\(55\) | −2.25855 | + | 0.663169i | −0.304542 | + | 0.0894217i | ||||
\(56\) | 1.76004 | + | 2.03119i | 0.235195 | + | 0.271430i | ||||
\(57\) | 2.98648 | − | 1.91930i | 0.395569 | − | 0.254217i | ||||
\(58\) | 5.45343 | − | 3.50470i | 0.716070 | − | 0.460190i | ||||
\(59\) | −0.927486 | − | 1.07038i | −0.120748 | − | 0.139351i | 0.692157 | − | 0.721747i | \(-0.256661\pi\) |
−0.812905 | + | 0.582396i | \(0.802115\pi\) | |||||||
\(60\) | −0.959493 | + | 0.281733i | −0.123870 | + | 0.0363715i | ||||
\(61\) | −0.359602 | + | 2.50109i | −0.0460423 | + | 0.320231i | 0.953764 | + | 0.300556i | \(0.0971723\pi\) |
−0.999806 | + | 0.0196751i | \(0.993737\pi\) | |||||||
\(62\) | −1.29082 | + | 1.48969i | −0.163935 | + | 0.189191i | ||||
\(63\) | −1.11649 | + | 2.44478i | −0.140665 | + | 0.308013i | ||||
\(64\) | −0.959493 | − | 0.281733i | −0.119937 | − | 0.0352166i | ||||
\(65\) | 0.863725 | + | 1.89129i | 0.107132 | + | 0.234586i | ||||
\(66\) | −0.334994 | − | 2.32994i | −0.0412349 | − | 0.286795i | ||||
\(67\) | −4.29809 | − | 2.76221i | −0.525095 | − | 0.337458i | 0.251090 | − | 0.967964i | \(-0.419211\pi\) |
−0.776184 | + | 0.630506i | \(0.782847\pi\) | |||||||
\(68\) | 4.73572 | 0.574291 | ||||||||
\(69\) | −4.51537 | + | 1.61598i | −0.543587 | + | 0.194542i | ||||
\(70\) | −2.68765 | −0.321236 | ||||||||
\(71\) | 0.461255 | + | 0.296431i | 0.0547409 | + | 0.0351798i | 0.567725 | − | 0.823218i | \(-0.307824\pi\) |
−0.512984 | + | 0.858398i | \(0.671460\pi\) | |||||||
\(72\) | −0.142315 | − | 0.989821i | −0.0167720 | − | 0.116652i | ||||
\(73\) | 3.91085 | + | 8.56356i | 0.457730 | + | 1.00229i | 0.987999 | + | 0.154459i | \(0.0493636\pi\) |
−0.530269 | + | 0.847829i | \(0.677909\pi\) | |||||||
\(74\) | 7.79797 | + | 2.28969i | 0.906495 | + | 0.266171i | ||||
\(75\) | 0.415415 | − | 0.909632i | 0.0479680 | − | 0.105035i | ||||
\(76\) | −2.32478 | + | 2.68294i | −0.266671 | + | 0.307754i | ||||
\(77\) | 0.900349 | − | 6.26206i | 0.102604 | − | 0.713628i | ||||
\(78\) | −1.99496 | + | 0.585774i | −0.225885 | + | 0.0663259i | ||||
\(79\) | 0.555315 | + | 0.640868i | 0.0624778 | + | 0.0721033i | 0.786128 | − | 0.618064i | \(-0.212083\pi\) |
−0.723650 | + | 0.690167i | \(0.757537\pi\) | |||||||
\(80\) | 0.841254 | − | 0.540641i | 0.0940550 | − | 0.0604455i | ||||
\(81\) | 0.841254 | − | 0.540641i | 0.0934726 | − | 0.0600712i | ||||
\(82\) | −0.624068 | − | 0.720213i | −0.0689168 | − | 0.0795342i | ||||
\(83\) | −6.18083 | + | 1.81486i | −0.678434 | + | 0.199206i | −0.602755 | − | 0.797926i | \(-0.705931\pi\) |
−0.0756788 | + | 0.997132i | \(0.524112\pi\) | |||||||
\(84\) | 0.382493 | − | 2.66030i | 0.0417334 | − | 0.290262i | ||||
\(85\) | −3.10124 | + | 3.57902i | −0.336377 | + | 0.388199i | ||||
\(86\) | −1.49497 | + | 3.27352i | −0.161207 | + | 0.352993i | ||||
\(87\) | −6.21991 | − | 1.82633i | −0.666845 | − | 0.195803i | ||||
\(88\) | 0.977844 | + | 2.14118i | 0.104238 | + | 0.228250i | ||||
\(89\) | 1.65288 | + | 11.4960i | 0.175205 | + | 1.21858i | 0.867675 | + | 0.497132i | \(0.165614\pi\) |
−0.692470 | + | 0.721447i | \(0.743477\pi\) | |||||||
\(90\) | 0.841254 | + | 0.540641i | 0.0886759 | + | 0.0569885i | ||||
\(91\) | −5.58813 | −0.585795 | ||||||||
\(92\) | 3.87719 | − | 2.82265i | 0.404225 | − | 0.294282i | ||||
\(93\) | 1.97114 | 0.204398 | ||||||||
\(94\) | −1.08299 | − | 0.695998i | −0.111702 | − | 0.0717867i | ||||
\(95\) | −0.505223 | − | 3.51390i | −0.0518348 | − | 0.360519i | ||||
\(96\) | 0.415415 | + | 0.909632i | 0.0423981 | + | 0.0928389i | ||||
\(97\) | 2.77124 | + | 0.813708i | 0.281376 | + | 0.0826195i | 0.419376 | − | 0.907813i | \(-0.362249\pi\) |
−0.137999 | + | 0.990432i | \(0.544067\pi\) | |||||||
\(98\) | 0.0928397 | − | 0.203291i | 0.00937823 | − | 0.0205355i | ||||
\(99\) | −1.54147 | + | 1.77896i | −0.154924 | + | 0.178792i | ||||
\(100\) | −0.142315 | + | 0.989821i | −0.0142315 | + | 0.0989821i | ||||
\(101\) | −6.51123 | + | 1.91187i | −0.647892 | + | 0.190238i | −0.589136 | − | 0.808034i | \(-0.700532\pi\) |
−0.0587562 | + | 0.998272i | \(0.518713\pi\) | |||||||
\(102\) | −3.10124 | − | 3.57902i | −0.307068 | − | 0.354376i | ||||
\(103\) | −4.53844 | + | 2.91668i | −0.447185 | + | 0.287389i | −0.744788 | − | 0.667301i | \(-0.767449\pi\) |
0.297602 | + | 0.954690i | \(0.403813\pi\) | |||||||
\(104\) | 1.74912 | − | 1.12409i | 0.171515 | − | 0.110226i | ||||
\(105\) | 1.76004 | + | 2.03119i | 0.171762 | + | 0.198224i | ||||
\(106\) | −3.76886 | + | 1.10664i | −0.366064 | + | 0.107486i | ||||
\(107\) | −0.512436 | + | 3.56407i | −0.0495390 | + | 0.344552i | 0.949945 | + | 0.312419i | \(0.101139\pi\) |
−0.999484 | + | 0.0321331i | \(0.989770\pi\) | |||||||
\(108\) | −0.654861 | + | 0.755750i | −0.0630140 | + | 0.0727220i | ||||
\(109\) | −6.79994 | + | 14.8898i | −0.651316 | + | 1.42618i | 0.239081 | + | 0.971000i | \(0.423154\pi\) |
−0.890397 | + | 0.455184i | \(0.849573\pi\) | |||||||
\(110\) | −2.25855 | − | 0.663169i | −0.215344 | − | 0.0632307i | ||||
\(111\) | −3.37615 | − | 7.39274i | −0.320450 | − | 0.701688i | ||||
\(112\) | 0.382493 | + | 2.66030i | 0.0361422 | + | 0.251375i | ||||
\(113\) | −6.54469 | − | 4.20602i | −0.615673 | − | 0.395669i | 0.195308 | − | 0.980742i | \(-0.437429\pi\) |
−0.810981 | + | 0.585073i | \(0.801066\pi\) | |||||||
\(114\) | 3.55004 | 0.332492 | ||||||||
\(115\) | −0.405803 | + | 4.77863i | −0.0378413 | + | 0.445610i | ||||
\(116\) | 6.48250 | 0.601885 | ||||||||
\(117\) | 1.74912 | + | 1.12409i | 0.161706 | + | 0.103922i | ||||
\(118\) | −0.201562 | − | 1.40189i | −0.0185553 | − | 0.129055i | ||||
\(119\) | −5.28740 | − | 11.5778i | −0.484695 | − | 1.06133i | ||||
\(120\) | −0.959493 | − | 0.281733i | −0.0875893 | − | 0.0257185i | ||||
\(121\) | −2.26782 | + | 4.96584i | −0.206166 | + | 0.451440i | ||||
\(122\) | −1.65471 | + | 1.90963i | −0.149810 | + | 0.172890i | ||||
\(123\) | −0.135623 | + | 0.943278i | −0.0122287 | + | 0.0850525i | ||||
\(124\) | −1.89130 | + | 0.555334i | −0.169843 | + | 0.0498705i | ||||
\(125\) | −0.654861 | − | 0.755750i | −0.0585725 | − | 0.0675963i | ||||
\(126\) | −2.26100 | + | 1.45306i | −0.201426 | + | 0.129448i | ||||
\(127\) | 16.2375 | − | 10.4352i | 1.44085 | − | 0.925976i | 0.441255 | − | 0.897382i | \(-0.354533\pi\) |
0.999591 | − | 0.0285942i | \(-0.00910305\pi\) | |||||||
\(128\) | −0.654861 | − | 0.755750i | −0.0578821 | − | 0.0667995i | ||||
\(129\) | 3.45296 | − | 1.01388i | 0.304016 | − | 0.0892672i | ||||
\(130\) | −0.295899 | + | 2.05802i | −0.0259520 | + | 0.180500i | ||||
\(131\) | −10.6837 | + | 12.3297i | −0.933442 | + | 1.07725i | 0.0634120 | + | 0.997987i | \(0.479802\pi\) |
−0.996854 | + | 0.0792619i | \(0.974744\pi\) | |||||||
\(132\) | 0.977844 | − | 2.14118i | 0.0851104 | − | 0.186366i | ||||
\(133\) | 9.15479 | + | 2.68809i | 0.793821 | + | 0.233087i | ||||
\(134\) | −2.12242 | − | 4.64744i | −0.183349 | − | 0.401478i | ||||
\(135\) | −0.142315 | − | 0.989821i | −0.0122485 | − | 0.0851903i | ||||
\(136\) | 3.98394 | + | 2.56032i | 0.341620 | + | 0.219546i | ||||
\(137\) | 4.23295 | 0.361646 | 0.180823 | − | 0.983516i | \(-0.442124\pi\) | ||||
0.180823 | + | 0.983516i | \(0.442124\pi\) | |||||||
\(138\) | −4.67224 | − | 1.08174i | −0.397728 | − | 0.0920841i | ||||
\(139\) | −9.06927 | −0.769246 | −0.384623 | − | 0.923074i | \(-0.625669\pi\) | ||||
−0.384623 | + | 0.923074i | \(0.625669\pi\) | |||||||
\(140\) | −2.26100 | − | 1.45306i | −0.191089 | − | 0.122806i | ||||
\(141\) | 0.183210 | + | 1.27425i | 0.0154291 | + | 0.107312i | ||||
\(142\) | 0.227770 | + | 0.498747i | 0.0191140 | + | 0.0418539i | ||||
\(143\) | −4.69594 | − | 1.37885i | −0.392694 | − | 0.115305i | ||||
\(144\) | 0.415415 | − | 0.909632i | 0.0346179 | − | 0.0758027i | ||||
\(145\) | −4.24513 | + | 4.89915i | −0.352539 | + | 0.406852i | ||||
\(146\) | −1.33980 | + | 9.31849i | −0.110882 | + | 0.771203i | ||||
\(147\) | −0.214434 | + | 0.0629635i | −0.0176862 | + | 0.00519314i | ||||
\(148\) | 5.32217 | + | 6.14211i | 0.437479 | + | 0.504878i | ||||
\(149\) | 10.5252 | − | 6.76416i | 0.862261 | − | 0.554142i | −0.0331153 | − | 0.999452i | \(-0.510543\pi\) |
0.895376 | + | 0.445310i | \(0.146907\pi\) | |||||||
\(150\) | 0.841254 | − | 0.540641i | 0.0686881 | − | 0.0441431i | ||||
\(151\) | −0.221834 | − | 0.256010i | −0.0180526 | − | 0.0208338i | 0.746651 | − | 0.665215i | \(-0.231660\pi\) |
−0.764704 | + | 0.644382i | \(0.777115\pi\) | |||||||
\(152\) | −3.40624 | + | 1.00016i | −0.276282 | + | 0.0811238i | ||||
\(153\) | −0.673963 | + | 4.68752i | −0.0544867 | + | 0.378963i | ||||
\(154\) | 4.14295 | − | 4.78122i | 0.333848 | − | 0.385282i | ||||
\(155\) | 0.818841 | − | 1.79301i | 0.0657709 | − | 0.144018i | ||||
\(156\) | −1.99496 | − | 0.585774i | −0.159725 | − | 0.0468995i | ||||
\(157\) | 8.45407 | + | 18.5118i | 0.674708 | + | 1.47740i | 0.868155 | + | 0.496294i | \(0.165306\pi\) |
−0.193447 | + | 0.981111i | \(0.561967\pi\) | |||||||
\(158\) | 0.120682 | + | 0.839358i | 0.00960091 | + | 0.0667758i | ||||
\(159\) | 3.30442 | + | 2.12362i | 0.262058 | + | 0.168414i | ||||
\(160\) | 1.00000 | 0.0790569 | ||||||||
\(161\) | −11.2296 | − | 6.32740i | −0.885017 | − | 0.498669i | ||||
\(162\) | 1.00000 | 0.0785674 | ||||||||
\(163\) | 16.9082 | + | 10.8663i | 1.32435 | + | 0.851111i | 0.995636 | − | 0.0933170i | \(-0.0297470\pi\) |
0.328718 | + | 0.944428i | \(0.393383\pi\) | |||||||
\(164\) | −0.135623 | − | 0.943278i | −0.0105904 | − | 0.0736577i | ||||
\(165\) | 0.977844 | + | 2.14118i | 0.0761250 | + | 0.166691i | ||||
\(166\) | −6.18083 | − | 1.81486i | −0.479725 | − | 0.140860i | ||||
\(167\) | 8.16532 | − | 17.8796i | 0.631851 | − | 1.38356i | −0.274726 | − | 0.961522i | \(-0.588587\pi\) |
0.906578 | − | 0.422039i | \(-0.138685\pi\) | |||||||
\(168\) | 1.76004 | − | 2.03119i | 0.135790 | − | 0.156710i | ||||
\(169\) | 1.23486 | − | 8.58867i | 0.0949896 | − | 0.660667i | ||||
\(170\) | −4.54389 | + | 1.33421i | −0.348501 | + | 0.102329i | ||||
\(171\) | −2.32478 | − | 2.68294i | −0.177780 | − | 0.205170i | ||||
\(172\) | −3.02745 | + | 1.94562i | −0.230841 | + | 0.148352i | ||||
\(173\) | −2.42124 | + | 1.55604i | −0.184084 | + | 0.118303i | −0.629437 | − | 0.777052i | \(-0.716714\pi\) |
0.445353 | + | 0.895355i | \(0.353078\pi\) | |||||||
\(174\) | −4.24513 | − | 4.89915i | −0.321823 | − | 0.371403i | ||||
\(175\) | 2.57879 | − | 0.757200i | 0.194938 | − | 0.0572389i | ||||
\(176\) | −0.334994 | + | 2.32994i | −0.0252511 | + | 0.175626i | ||||
\(177\) | −0.927486 | + | 1.07038i | −0.0697141 | + | 0.0804543i | ||||
\(178\) | −4.82474 | + | 10.5647i | −0.361630 | + | 0.791858i | ||||
\(179\) | −8.31816 | − | 2.44243i | −0.621728 | − | 0.182556i | −0.0443279 | − | 0.999017i | \(-0.514115\pi\) |
−0.577400 | + | 0.816461i | \(0.695933\pi\) | |||||||
\(180\) | 0.415415 | + | 0.909632i | 0.0309632 | + | 0.0678000i | ||||
\(181\) | 1.94605 | + | 13.5351i | 0.144649 | + | 1.00606i | 0.924797 | + | 0.380461i | \(0.124235\pi\) |
−0.780148 | + | 0.625595i | \(0.784856\pi\) | |||||||
\(182\) | −4.70103 | − | 3.02117i | −0.348464 | − | 0.223944i | ||||
\(183\) | 2.52681 | 0.186787 | ||||||||
\(184\) | 4.78774 | − | 0.278397i | 0.352957 | − | 0.0205237i | ||||
\(185\) | −8.12717 | −0.597522 | ||||||||
\(186\) | 1.65823 | + | 1.06568i | 0.121587 | + | 0.0781394i | ||||
\(187\) | −1.58644 | − | 11.0339i | −0.116012 | − | 0.806881i | ||||
\(188\) | −0.534788 | − | 1.17102i | −0.0390034 | − | 0.0854055i | ||||
\(189\) | 2.57879 | + | 0.757200i | 0.187579 | + | 0.0550782i | ||||
\(190\) | 1.47474 | − | 3.22923i | 0.106989 | − | 0.234273i | ||||
\(191\) | −7.54546 | + | 8.70792i | −0.545970 | + | 0.630083i | −0.959939 | − | 0.280208i | \(-0.909597\pi\) |
0.413969 | + | 0.910291i | \(0.364142\pi\) | |||||||
\(192\) | −0.142315 | + | 0.989821i | −0.0102707 | + | 0.0714342i | ||||
\(193\) | 2.47376 | − | 0.726362i | 0.178065 | − | 0.0522847i | −0.191484 | − | 0.981496i | \(-0.561330\pi\) |
0.369550 | + | 0.929211i | \(0.379512\pi\) | |||||||
\(194\) | 1.89139 | + | 2.18278i | 0.135794 | + | 0.156714i | ||||
\(195\) | 1.74912 | − | 1.12409i | 0.125257 | − | 0.0804979i | ||||
\(196\) | 0.188009 | − | 0.120826i | 0.0134292 | − | 0.00863043i | ||||
\(197\) | 12.6829 | + | 14.6369i | 0.903620 | + | 1.04283i | 0.998877 | + | 0.0473801i | \(0.0150872\pi\) |
−0.0952572 | + | 0.995453i | \(0.530367\pi\) | |||||||
\(198\) | −2.25855 | + | 0.663169i | −0.160508 | + | 0.0471294i | ||||
\(199\) | 2.35611 | − | 16.3871i | 0.167020 | − | 1.16165i | −0.717982 | − | 0.696062i | \(-0.754934\pi\) |
0.885002 | − | 0.465588i | \(-0.154157\pi\) | |||||||
\(200\) | −0.654861 | + | 0.755750i | −0.0463056 | + | 0.0534396i | ||||
\(201\) | −2.12242 | + | 4.64744i | −0.149704 | + | 0.327805i | ||||
\(202\) | −6.51123 | − | 1.91187i | −0.458129 | − | 0.134519i | ||||
\(203\) | −7.23766 | − | 15.8483i | −0.507984 | − | 1.11233i | ||||
\(204\) | −0.673963 | − | 4.68752i | −0.0471869 | − | 0.328192i | ||||
\(205\) | 0.801696 | + | 0.515219i | 0.0559929 | + | 0.0359844i | ||||
\(206\) | −5.39485 | −0.375877 | ||||||||
\(207\) | 2.24214 | + | 4.23943i | 0.155840 | + | 0.294661i | ||||
\(208\) | 2.07919 | 0.144166 | ||||||||
\(209\) | 7.02987 | + | 4.51782i | 0.486266 | + | 0.312504i | ||||
\(210\) | 0.382493 | + | 2.66030i | 0.0263945 | + | 0.183578i | ||||
\(211\) | −8.95250 | − | 19.6033i | −0.616316 | − | 1.34954i | −0.918169 | − | 0.396189i | \(-0.870332\pi\) |
0.301853 | − | 0.953354i | \(-0.402395\pi\) | |||||||
\(212\) | −3.76886 | − | 1.10664i | −0.258847 | − | 0.0760042i | ||||
\(213\) | 0.227770 | − | 0.498747i | 0.0156065 | − | 0.0341736i | ||||
\(214\) | −2.35797 | + | 2.72124i | −0.161187 | + | 0.186020i | ||||
\(215\) | 0.512153 | − | 3.56210i | 0.0349286 | − | 0.242933i | ||||
\(216\) | −0.959493 | + | 0.281733i | −0.0652852 | + | 0.0191695i | ||||
\(217\) | 3.46928 | + | 4.00377i | 0.235510 | + | 0.271793i | ||||
\(218\) | −13.7705 | + | 8.84977i | −0.932656 | + | 0.599382i | ||||
\(219\) | 7.91982 | − | 5.08976i | 0.535172 | − | 0.343934i | ||||
\(220\) | −1.54147 | − | 1.77896i | −0.103926 | − | 0.119937i | ||||
\(221\) | −9.44759 | + | 2.77406i | −0.635514 | + | 0.186604i | ||||
\(222\) | 1.15662 | − | 8.04445i | 0.0776271 | − | 0.539908i | ||||
\(223\) | −7.31262 | + | 8.43922i | −0.489689 | + | 0.565132i | −0.945783 | − | 0.324800i | \(-0.894703\pi\) |
0.456093 | + | 0.889932i | \(0.349248\pi\) | |||||||
\(224\) | −1.11649 | + | 2.44478i | −0.0745988 | + | 0.163349i | ||||
\(225\) | −0.959493 | − | 0.281733i | −0.0639662 | − | 0.0187822i | ||||
\(226\) | −3.23180 | − | 7.07666i | −0.214976 | − | 0.470732i | ||||
\(227\) | 3.60425 | + | 25.0681i | 0.239223 | + | 1.66383i | 0.655955 | + | 0.754800i | \(0.272266\pi\) |
−0.416732 | + | 0.909029i | \(0.636825\pi\) | |||||||
\(228\) | 2.98648 | + | 1.91930i | 0.197785 | + | 0.127108i | ||||
\(229\) | −22.8309 | −1.50871 | −0.754355 | − | 0.656466i | \(-0.772050\pi\) | ||||
−0.754355 | + | 0.656466i | \(0.772050\pi\) | |||||||
\(230\) | −2.92491 | + | 3.80065i | −0.192863 | + | 0.250607i | ||||
\(231\) | −6.32646 | −0.416250 | ||||||||
\(232\) | 5.45343 | + | 3.50470i | 0.358035 | + | 0.230095i | ||||
\(233\) | −3.29520 | − | 22.9186i | −0.215876 | − | 1.50145i | −0.753041 | − | 0.657973i | \(-0.771414\pi\) |
0.537165 | − | 0.843477i | \(-0.319495\pi\) | |||||||
\(234\) | 0.863725 | + | 1.89129i | 0.0564634 | + | 0.123638i | ||||
\(235\) | 1.23521 | + | 0.362690i | 0.0805762 | + | 0.0236593i | ||||
\(236\) | 0.588356 | − | 1.28832i | 0.0382987 | − | 0.0838625i | ||||
\(237\) | 0.555315 | − | 0.640868i | 0.0360716 | − | 0.0416288i | ||||
\(238\) | 1.81138 | − | 12.5984i | 0.117414 | − | 0.816635i | ||||
\(239\) | −0.403465 | + | 0.118468i | −0.0260980 | + | 0.00766305i | −0.294755 | − | 0.955573i | \(-0.595238\pi\) |
0.268658 | + | 0.963236i | \(0.413420\pi\) | |||||||
\(240\) | −0.654861 | − | 0.755750i | −0.0422711 | − | 0.0487834i | ||||
\(241\) | 0.857095 | − | 0.550822i | 0.0552104 | − | 0.0354815i | −0.512744 | − | 0.858541i | \(-0.671371\pi\) |
0.567955 | + | 0.823060i | \(0.307735\pi\) | |||||||
\(242\) | −4.59255 | + | 2.95145i | −0.295220 | + | 0.189727i | ||||
\(243\) | −0.654861 | − | 0.755750i | −0.0420093 | − | 0.0484814i | ||||
\(244\) | −2.42445 | + | 0.711883i | −0.155210 | + | 0.0455737i | ||||
\(245\) | −0.0318055 | + | 0.221212i | −0.00203198 | + | 0.0141327i | ||||
\(246\) | −0.624068 | + | 0.720213i | −0.0397891 | + | 0.0459191i | ||||
\(247\) | 3.06626 | − | 6.71416i | 0.195101 | − | 0.427212i | ||||
\(248\) | −1.89130 | − | 0.555334i | −0.120097 | − | 0.0352638i | ||||
\(249\) | 2.67601 | + | 5.85964i | 0.169585 | + | 0.371339i | ||||
\(250\) | −0.142315 | − | 0.989821i | −0.00900078 | − | 0.0626018i | ||||
\(251\) | −9.65828 | − | 6.20700i | −0.609625 | − | 0.391782i | 0.199091 | − | 0.979981i | \(-0.436201\pi\) |
−0.808717 | + | 0.588199i | \(0.799837\pi\) | |||||||
\(252\) | −2.68765 | −0.169306 | ||||||||
\(253\) | −7.87544 | − | 8.08804i | −0.495125 | − | 0.508491i | ||||
\(254\) | 19.3016 | 1.21109 | ||||||||
\(255\) | 3.98394 | + | 2.56032i | 0.249484 | + | 0.160334i | ||||
\(256\) | −0.142315 | − | 0.989821i | −0.00889468 | − | 0.0618638i | ||||
\(257\) | −3.15200 | − | 6.90192i | −0.196616 | − | 0.430530i | 0.785486 | − | 0.618880i | \(-0.212413\pi\) |
−0.982102 | + | 0.188350i | \(0.939686\pi\) | |||||||
\(258\) | 3.45296 | + | 1.01388i | 0.214972 | + | 0.0631214i | ||||
\(259\) | 9.07392 | − | 19.8691i | 0.563826 | − | 1.23461i | ||||
\(260\) | −1.36158 | + | 1.57134i | −0.0844414 | + | 0.0974506i | ||||
\(261\) | −0.922556 | + | 6.41652i | −0.0571048 | + | 0.397172i | ||||
\(262\) | −15.6537 | + | 4.59633i | −0.967086 | + | 0.283962i | ||||
\(263\) | −18.8393 | − | 21.7417i | −1.16168 | − | 1.34065i | −0.929868 | − | 0.367893i | \(-0.880079\pi\) |
−0.231814 | − | 0.972760i | \(-0.574466\pi\) | |||||||
\(264\) | 1.98022 | − | 1.27261i | 0.121874 | − | 0.0783239i | ||||
\(265\) | 3.30442 | − | 2.12362i | 0.202989 | − | 0.130453i | ||||
\(266\) | 6.24821 | + | 7.21082i | 0.383102 | + | 0.442123i | ||||
\(267\) | 11.1438 | − | 3.27212i | 0.681990 | − | 0.200250i | ||||
\(268\) | 0.727107 | − | 5.05714i | 0.0444151 | − | 0.308914i | ||||
\(269\) | 1.88048 | − | 2.17019i | 0.114655 | − | 0.132319i | −0.695521 | − | 0.718506i | \(-0.744826\pi\) |
0.810176 | + | 0.586187i | \(0.199372\pi\) | |||||||
\(270\) | 0.415415 | − | 0.909632i | 0.0252814 | − | 0.0553584i | ||||
\(271\) | 17.7987 | + | 5.22617i | 1.08119 | + | 0.317467i | 0.773356 | − | 0.633972i | \(-0.218576\pi\) |
0.307838 | + | 0.951439i | \(0.400395\pi\) | |||||||
\(272\) | 1.96729 | + | 4.30776i | 0.119284 | + | 0.261197i | ||||
\(273\) | 0.795274 | + | 5.53125i | 0.0481322 | + | 0.334767i | ||||
\(274\) | 3.56099 | + | 2.28851i | 0.215127 | + | 0.138254i | ||||
\(275\) | 2.35390 | 0.141945 | ||||||||
\(276\) | −3.34570 | − | 3.43602i | −0.201388 | − | 0.206824i | ||||
\(277\) | 32.7117 | 1.96546 | 0.982728 | − | 0.185056i | \(-0.0592468\pi\) | ||||
0.982728 | + | 0.185056i | \(0.0592468\pi\) | |||||||
\(278\) | −7.62956 | − | 4.90322i | −0.457591 | − | 0.294076i | ||||
\(279\) | −0.280522 | − | 1.95108i | −0.0167944 | − | 0.116808i | ||||
\(280\) | −1.11649 | − | 2.44478i | −0.0667232 | − | 0.146103i | ||||
\(281\) | 27.2795 | + | 8.00997i | 1.62736 | + | 0.477835i | 0.962982 | − | 0.269566i | \(-0.0868802\pi\) |
0.664374 | + | 0.747401i | \(0.268698\pi\) | |||||||
\(282\) | −0.534788 | + | 1.17102i | −0.0318461 | + | 0.0697333i | ||||
\(283\) | −9.84225 | + | 11.3586i | −0.585061 | + | 0.675196i | −0.968685 | − | 0.248293i | \(-0.920130\pi\) |
0.383624 | + | 0.923489i | \(0.374676\pi\) | |||||||
\(284\) | −0.0780305 | + | 0.542714i | −0.00463026 | + | 0.0322042i | ||||
\(285\) | −3.40624 | + | 1.00016i | −0.201768 | + | 0.0592445i | ||||
\(286\) | −3.20501 | − | 3.69878i | −0.189516 | − | 0.218713i | ||||
\(287\) | −2.15468 | + | 1.38473i | −0.127187 | + | 0.0817380i | ||||
\(288\) | 0.841254 | − | 0.540641i | 0.0495713 | − | 0.0318576i | ||||
\(289\) | −3.55397 | − | 4.10150i | −0.209057 | − | 0.241265i | ||||
\(290\) | −6.21991 | + | 1.82633i | −0.365246 | + | 0.107246i | ||||
\(291\) | 0.411038 | − | 2.85883i | 0.0240955 | − | 0.167588i | ||||
\(292\) | −6.16506 | + | 7.11486i | −0.360783 | + | 0.416366i | ||||
\(293\) | 9.69107 | − | 21.2205i | 0.566158 | − | 1.23971i | −0.382660 | − | 0.923889i | \(-0.624992\pi\) |
0.948818 | − | 0.315824i | \(-0.102281\pi\) | |||||||
\(294\) | −0.214434 | − | 0.0629635i | −0.0125060 | − | 0.00367210i | ||||
\(295\) | 0.588356 | + | 1.28832i | 0.0342554 | + | 0.0750089i | ||||
\(296\) | 1.15662 | + | 8.04445i | 0.0672270 | + | 0.467574i | ||||
\(297\) | 1.98022 | + | 1.27261i | 0.114904 | + | 0.0738444i | ||||
\(298\) | 12.5114 | 0.724765 | ||||||||
\(299\) | −6.08142 | + | 7.90225i | −0.351698 | + | 0.456999i | ||||
\(300\) | 1.00000 | 0.0577350 | ||||||||
\(301\) | 8.13673 | + | 5.22916i | 0.468994 | + | 0.301404i | ||||
\(302\) | −0.0482091 | − | 0.335301i | −0.00277412 | − | 0.0192944i | ||||
\(303\) | 2.81906 | + | 6.17287i | 0.161951 | + | 0.354622i | ||||
\(304\) | −3.40624 | − | 1.00016i | −0.195361 | − | 0.0573632i | ||||
\(305\) | 1.04967 | − | 2.29846i | 0.0601041 | − | 0.131610i | ||||
\(306\) | −3.10124 | + | 3.57902i | −0.177286 | + | 0.204599i | ||||
\(307\) | 0.594658 | − | 4.13594i | 0.0339389 | − | 0.236050i | −0.965790 | − | 0.259325i | \(-0.916500\pi\) |
0.999729 | + | 0.0232744i | \(0.00740913\pi\) | |||||||
\(308\) | 6.07019 | − | 1.78237i | 0.345881 | − | 0.101560i | ||||
\(309\) | 3.53288 | + | 4.07716i | 0.200978 | + | 0.231941i | ||||
\(310\) | 1.65823 | − | 1.06568i | 0.0941811 | − | 0.0605265i | ||||
\(311\) | 8.59246 | − | 5.52204i | 0.487234 | − | 0.313126i | −0.273858 | − | 0.961770i | \(-0.588300\pi\) |
0.761092 | + | 0.648644i | \(0.224664\pi\) | |||||||
\(312\) | −1.36158 | − | 1.57134i | −0.0770841 | − | 0.0889598i | ||||
\(313\) | 13.1539 | − | 3.86234i | 0.743504 | − | 0.218313i | 0.112025 | − | 0.993705i | \(-0.464266\pi\) |
0.631479 | + | 0.775393i | \(0.282448\pi\) | |||||||
\(314\) | −2.89623 | + | 20.1438i | −0.163444 | + | 1.13678i | ||||
\(315\) | 1.76004 | − | 2.03119i | 0.0991670 | − | 0.114445i | ||||
\(316\) | −0.352268 | + | 0.771358i | −0.0198166 | + | 0.0433923i | ||||
\(317\) | 20.6197 | + | 6.05449i | 1.15812 | + | 0.340054i | 0.803701 | − | 0.595034i | \(-0.202861\pi\) |
0.354417 | + | 0.935088i | \(0.384679\pi\) | |||||||
\(318\) | 1.63174 | + | 3.57301i | 0.0915034 | + | 0.200364i | ||||
\(319\) | −2.17160 | − | 15.1038i | −0.121586 | − | 0.845651i | ||||
\(320\) | 0.841254 | + | 0.540641i | 0.0470275 | + | 0.0302227i | ||||
\(321\) | 3.60072 | 0.200973 | ||||||||
\(322\) | −6.02610 | − | 11.3941i | −0.335821 | − | 0.634970i | ||||
\(323\) | 16.8120 | 0.935444 | ||||||||
\(324\) | 0.841254 | + | 0.540641i | 0.0467363 | + | 0.0300356i | ||||
\(325\) | −0.295899 | − | 2.05802i | −0.0164135 | − | 0.114159i | ||||
\(326\) | 8.34936 | + | 18.2826i | 0.462429 | + | 1.01258i | ||||
\(327\) | 15.7060 | + | 4.61169i | 0.868542 | + | 0.255027i | ||||
\(328\) | 0.395881 | − | 0.866859i | 0.0218589 | − | 0.0478643i | ||||
\(329\) | −2.26580 | + | 2.61487i | −0.124918 | + | 0.144163i | ||||
\(330\) | −0.334994 | + | 2.32994i | −0.0184408 | + | 0.128259i | ||||
\(331\) | −9.80666 | + | 2.87950i | −0.539023 | + | 0.158271i | −0.539902 | − | 0.841728i | \(-0.681539\pi\) |
0.000878555 | 1.00000i | \(0.499720\pi\) | ||||||||
\(332\) | −4.21846 | − | 4.86836i | −0.231518 | − | 0.267186i | ||||
\(333\) | −6.83701 | + | 4.39388i | −0.374666 | + | 0.240783i | ||||
\(334\) | 16.5355 | − | 10.6267i | 0.904783 | − | 0.581469i | ||||
\(335\) | 3.34578 | + | 3.86123i | 0.182799 | + | 0.210962i | ||||
\(336\) | 2.57879 | − | 0.757200i | 0.140684 | − | 0.0413086i | ||||
\(337\) | −0.308025 | + | 2.14236i | −0.0167792 | + | 0.116702i | −0.996490 | − | 0.0837164i | \(-0.973321\pi\) |
0.979710 | + | 0.200418i | \(0.0642301\pi\) | |||||||
\(338\) | 5.68222 | − | 6.55763i | 0.309072 | − | 0.356688i | ||||
\(339\) | −3.23180 | + | 7.07666i | −0.175527 | + | 0.384351i | ||||
\(340\) | −4.54389 | − | 1.33421i | −0.246427 | − | 0.0723575i | ||||
\(341\) | 1.92747 | + | 4.22056i | 0.104378 | + | 0.228556i | ||||
\(342\) | −0.505223 | − | 3.51390i | −0.0273193 | − | 0.190010i | ||||
\(343\) | 15.3217 | + | 9.84665i | 0.827293 | + | 0.531669i | ||||
\(344\) | −3.59873 | −0.194031 | ||||||||
\(345\) | 4.78774 | − | 0.278397i | 0.257763 | − | 0.0149884i | ||||
\(346\) | −2.87814 | −0.154730 | ||||||||
\(347\) | 19.7375 | + | 12.6845i | 1.05957 | + | 0.680942i | 0.949750 | − | 0.313010i | \(-0.101337\pi\) |
0.109817 | + | 0.993952i | \(0.464974\pi\) | |||||||
\(348\) | −0.922556 | − | 6.41652i | −0.0494542 | − | 0.343961i | ||||
\(349\) | −2.17455 | − | 4.76160i | −0.116401 | − | 0.254882i | 0.842460 | − | 0.538759i | \(-0.181107\pi\) |
−0.958861 | + | 0.283877i | \(0.908379\pi\) | |||||||
\(350\) | 2.57879 | + | 0.757200i | 0.137842 | + | 0.0404740i | ||||
\(351\) | 0.863725 | − | 1.89129i | 0.0461022 | − | 0.100950i | ||||
\(352\) | −1.54147 | + | 1.77896i | −0.0821608 | + | 0.0948187i | ||||
\(353\) | 3.86812 | − | 26.9033i | 0.205879 | − | 1.43192i | −0.580543 | − | 0.814230i | \(-0.697160\pi\) |
0.786422 | − | 0.617690i | \(-0.211931\pi\) | |||||||
\(354\) | −1.35894 | + | 0.399021i | −0.0722268 | + | 0.0212077i | ||||
\(355\) | −0.359057 | − | 0.414374i | −0.0190568 | − | 0.0219927i | ||||
\(356\) | −9.77054 | + | 6.27915i | −0.517838 | + | 0.332794i | ||||
\(357\) | −10.7075 | + | 6.88127i | −0.566699 | + | 0.364195i | ||||
\(358\) | −5.67720 | − | 6.55184i | −0.300049 | − | 0.346275i | ||||
\(359\) | −27.1950 | + | 7.98518i | −1.43530 | + | 0.421442i | −0.904652 | − | 0.426151i | \(-0.859869\pi\) |
−0.530647 | + | 0.847593i | \(0.678051\pi\) | |||||||
\(360\) | −0.142315 | + | 0.989821i | −0.00750065 | + | 0.0521682i | ||||
\(361\) | 4.18929 | − | 4.83470i | 0.220489 | − | 0.254458i | ||||
\(362\) | −5.68050 | + | 12.4386i | −0.298561 | + | 0.653756i | ||||
\(363\) | 5.23804 | + | 1.53803i | 0.274926 | + | 0.0807255i | ||||
\(364\) | −2.32139 | − | 5.08314i | −0.121674 | − | 0.266429i | ||||
\(365\) | −1.33980 | − | 9.31849i | −0.0701281 | − | 0.487752i | ||||
\(366\) | 2.12568 | + | 1.36609i | 0.111111 | + | 0.0714069i | ||||
\(367\) | −21.1984 | −1.10655 | −0.553274 | − | 0.832999i | \(-0.686622\pi\) | ||||
−0.553274 | + | 0.832999i | \(0.686622\pi\) | |||||||
\(368\) | 4.17822 | + | 2.35425i | 0.217805 | + | 0.122724i | ||||
\(369\) | 0.952978 | 0.0496101 | ||||||||
\(370\) | −6.83701 | − | 4.39388i | −0.355439 | − | 0.228427i | ||||
\(371\) | 1.50242 | + | 10.4496i | 0.0780019 | + | 0.542515i | ||||
\(372\) | 0.818841 | + | 1.79301i | 0.0424549 | + | 0.0929634i | ||||
\(373\) | 10.9647 | + | 3.21951i | 0.567728 | + | 0.166700i | 0.552985 | − | 0.833191i | \(-0.313489\pi\) |
0.0147433 | + | 0.999891i | \(0.495307\pi\) | |||||||
\(374\) | 4.63080 | − | 10.1400i | 0.239453 | − | 0.524328i | ||||
\(375\) | −0.654861 | + | 0.755750i | −0.0338169 | + | 0.0390267i | ||||
\(376\) | 0.183210 | − | 1.27425i | 0.00944834 | − | 0.0657146i | ||||
\(377\) | −12.9324 | + | 3.79728i | −0.666050 | + | 0.195570i | ||||
\(378\) | 1.76004 | + | 2.03119i | 0.0905267 | + | 0.104473i | ||||
\(379\) | −2.04762 | + | 1.31593i | −0.105179 | + | 0.0675946i | −0.592173 | − | 0.805811i | \(-0.701730\pi\) |
0.486994 | + | 0.873405i | \(0.338093\pi\) | |||||||
\(380\) | 2.98648 | − | 1.91930i | 0.153203 | − | 0.0984578i | ||||
\(381\) | −12.6398 | − | 14.5872i | −0.647559 | − | 0.747323i | ||||
\(382\) | −11.0555 | + | 3.24619i | −0.565648 | + | 0.166089i | ||||
\(383\) | −2.56757 | + | 17.8579i | −0.131197 | + | 0.912495i | 0.812801 | + | 0.582542i | \(0.197942\pi\) |
−0.943998 | + | 0.329953i | \(0.892967\pi\) | |||||||
\(384\) | −0.654861 | + | 0.755750i | −0.0334182 | + | 0.0385667i | ||||
\(385\) | −2.62811 | + | 5.75475i | −0.133941 | + | 0.293289i | ||||
\(386\) | 2.47376 | + | 0.726362i | 0.125911 | + | 0.0369709i | ||||
\(387\) | −1.49497 | − | 3.27352i | −0.0759935 | − | 0.166403i | ||||
\(388\) | 0.411038 | + | 2.85883i | 0.0208673 | + | 0.145135i | ||||
\(389\) | 27.0069 | + | 17.3563i | 1.36930 | + | 0.879997i | 0.998807 | − | 0.0488366i | \(-0.0155514\pi\) |
0.370496 | + | 0.928834i | \(0.379188\pi\) | |||||||
\(390\) | 2.07919 | 0.105284 | ||||||||
\(391\) | −22.1264 | − | 5.12283i | −1.11898 | − | 0.259073i | ||||
\(392\) | 0.223487 | 0.0112878 | ||||||||
\(393\) | 13.7246 | + | 8.82029i | 0.692316 | + | 0.444925i | ||||
\(394\) | 2.75626 | + | 19.1702i | 0.138858 | + | 0.965781i | ||||
\(395\) | −0.352268 | − | 0.771358i | −0.0177245 | − | 0.0388113i | ||||
\(396\) | −2.25855 | − | 0.663169i | −0.113496 | − | 0.0333255i | ||||
\(397\) | 5.01974 | − | 10.9917i | 0.251933 | − | 0.551657i | −0.740837 | − | 0.671685i | \(-0.765571\pi\) |
0.992771 | + | 0.120027i | \(0.0382983\pi\) | |||||||
\(398\) | 10.8416 | − | 12.5119i | 0.543441 | − | 0.627164i | ||||
\(399\) | 1.35787 | − | 9.44416i | 0.0679783 | − | 0.472799i | ||||
\(400\) | −0.959493 | + | 0.281733i | −0.0479746 | + | 0.0140866i | ||||
\(401\) | 6.77221 | + | 7.81555i | 0.338188 | + | 0.390290i | 0.899215 | − | 0.437508i | \(-0.144139\pi\) |
−0.561026 | + | 0.827798i | \(0.689593\pi\) | |||||||
\(402\) | −4.29809 | + | 2.76221i | −0.214369 | + | 0.137767i | ||||
\(403\) | 3.44776 | − | 2.21574i | 0.171745 | − | 0.110374i | ||||
\(404\) | −4.44396 | − | 5.12861i | −0.221095 | − | 0.255158i | ||||
\(405\) | −0.959493 | + | 0.281733i | −0.0476776 | + | 0.0139994i | ||||
\(406\) | 2.47951 | − | 17.2454i | 0.123056 | − | 0.855874i | ||||
\(407\) | 12.5278 | − | 14.4579i | 0.620981 | − | 0.716651i | ||||
\(408\) | 1.96729 | − | 4.30776i | 0.0973954 | − | 0.213266i | ||||
\(409\) | −18.7252 | − | 5.49822i | −0.925903 | − | 0.271870i | −0.216182 | − | 0.976353i | \(-0.569361\pi\) |
−0.709721 | + | 0.704483i | \(0.751179\pi\) | |||||||
\(410\) | 0.395881 | + | 0.866859i | 0.0195512 | + | 0.0428111i | ||||
\(411\) | −0.602412 | − | 4.18987i | −0.0297148 | − | 0.206671i | ||||
\(412\) | −4.53844 | − | 2.91668i | −0.223593 | − | 0.143694i | ||||
\(413\) | −3.80655 | −0.187308 | ||||||||
\(414\) | −0.405803 | + | 4.77863i | −0.0199441 | + | 0.234857i | ||||
\(415\) | 6.44177 | 0.316214 | ||||||||
\(416\) | 1.74912 | + | 1.12409i | 0.0857577 | + | 0.0551132i | ||||
\(417\) | 1.29069 | + | 8.97696i | 0.0632055 | + | 0.439604i | ||||
\(418\) | 3.47138 | + | 7.60127i | 0.169791 | + | 0.371790i | ||||
\(419\) | 10.2472 | + | 3.00886i | 0.500610 | + | 0.146993i | 0.522282 | − | 0.852773i | \(-0.325081\pi\) |
−0.0216718 | + | 0.999765i | \(0.506899\pi\) | |||||||
\(420\) | −1.11649 | + | 2.44478i | −0.0544792 | + | 0.119293i | ||||
\(421\) | −25.0605 | + | 28.9214i | −1.22138 | + | 1.40954i | −0.337825 | + | 0.941209i | \(0.609691\pi\) |
−0.883551 | + | 0.468335i | \(0.844854\pi\) | |||||||
\(422\) | 3.06699 | − | 21.3314i | 0.149299 | − | 1.03840i | ||||
\(423\) | 1.23521 | − | 0.362690i | 0.0600580 | − | 0.0176346i | ||||
\(424\) | −2.57228 | − | 2.96856i | −0.124921 | − | 0.144166i | ||||
\(425\) | 3.98394 | − | 2.56032i | 0.193250 | − | 0.124194i | ||||
\(426\) | 0.461255 | − | 0.296431i | 0.0223479 | − | 0.0143621i | ||||
\(427\) | 4.44728 | + | 5.13243i | 0.215219 | + | 0.248376i | ||||
\(428\) | −3.45487 | + | 1.01444i | −0.166997 | + | 0.0490348i | ||||
\(429\) | −0.696515 | + | 4.84437i | −0.0336281 | + | 0.233888i | ||||
\(430\) | 2.35667 | − | 2.71974i | 0.113649 | − | 0.131158i | ||||
\(431\) | 15.5837 | − | 34.1234i | 0.750638 | − | 1.64367i | −0.0145772 | − | 0.999894i | \(-0.504640\pi\) |
0.765215 | − | 0.643774i | \(-0.222632\pi\) | |||||||
\(432\) | −0.959493 | − | 0.281733i | −0.0461636 | − | 0.0135549i | ||||
\(433\) | 0.213500 | + | 0.467501i | 0.0102602 | + | 0.0224667i | 0.914693 | − | 0.404150i | \(-0.132433\pi\) |
−0.904433 | + | 0.426617i | \(0.859705\pi\) | |||||||
\(434\) | 0.753948 | + | 5.24382i | 0.0361906 | + | 0.251711i | ||||
\(435\) | 5.45343 | + | 3.50470i | 0.261472 | + | 0.168038i | ||||
\(436\) | −16.3690 | −0.783934 | ||||||||
\(437\) | 13.7642 | − | 10.0205i | 0.658430 | − | 0.479347i | ||||
\(438\) | 9.41431 | 0.449833 | ||||||||
\(439\) | 19.9994 | + | 12.8528i | 0.954519 | + | 0.613432i | 0.922476 | − | 0.386054i | \(-0.126162\pi\) |
0.0320432 | + | 0.999486i | \(0.489799\pi\) | |||||||
\(440\) | −0.334994 | − | 2.32994i | −0.0159702 | − | 0.111075i | ||||
\(441\) | 0.0928397 | + | 0.203291i | 0.00442094 | + | 0.00968051i | ||||
\(442\) | −9.44759 | − | 2.77406i | −0.449376 | − | 0.131949i | ||||
\(443\) | 2.26387 | − | 4.95719i | 0.107560 | − | 0.235523i | −0.848197 | − | 0.529681i | \(-0.822312\pi\) |
0.955757 | + | 0.294157i | \(0.0950390\pi\) | |||||||
\(444\) | 5.32217 | − | 6.14211i | 0.252579 | − | 0.291492i | ||||
\(445\) | 1.65288 | − | 11.4960i | 0.0783541 | − | 0.544965i | ||||
\(446\) | −10.7144 | + | 3.14602i | −0.507339 | + | 0.148968i | ||||
\(447\) | −8.19321 | − | 9.45547i | −0.387525 | − | 0.447228i | ||||
\(448\) | −2.26100 | + | 1.45306i | −0.106822 | + | 0.0686504i | ||||
\(449\) | 0.422475 | − | 0.271508i | 0.0199378 | − | 0.0128133i | −0.530634 | − | 0.847601i | \(-0.678046\pi\) |
0.550572 | + | 0.834788i | \(0.314410\pi\) | |||||||
\(450\) | −0.654861 | − | 0.755750i | −0.0308704 | − | 0.0356264i | ||||
\(451\) | −2.15235 | + | 0.631986i | −0.101350 | + | 0.0297590i | ||||
\(452\) | 1.10717 | − | 7.70051i | 0.0520767 | − | 0.362201i | ||||
\(453\) | −0.221834 | + | 0.256010i | −0.0104227 | + | 0.0120284i | ||||
\(454\) | −10.5208 | + | 23.0372i | −0.493764 | + | 1.08119i | ||||
\(455\) | 5.36177 | + | 1.57436i | 0.251364 | + | 0.0738071i | ||||
\(456\) | 1.47474 | + | 3.22923i | 0.0690610 | + | 0.151222i | ||||
\(457\) | 0.234487 | + | 1.63089i | 0.0109688 | + | 0.0762899i | 0.994571 | − | 0.104064i | \(-0.0331847\pi\) |
−0.983602 | + | 0.180354i | \(0.942276\pi\) | |||||||
\(458\) | −19.2066 | − | 12.3433i | −0.897466 | − | 0.576766i | ||||
\(459\) | 4.73572 | 0.221045 | ||||||||
\(460\) | −4.51537 | + | 1.61598i | −0.210530 | + | 0.0753456i | ||||
\(461\) | 37.4639 | 1.74487 | 0.872435 | − | 0.488730i | \(-0.162540\pi\) | ||||
0.872435 | + | 0.488730i | \(0.162540\pi\) | |||||||
\(462\) | −5.32216 | − | 3.42034i | −0.247609 | − | 0.159129i | ||||
\(463\) | −2.02814 | − | 14.1061i | −0.0942559 | − | 0.655564i | −0.981101 | − | 0.193497i | \(-0.938017\pi\) |
0.886845 | − | 0.462067i | \(-0.152892\pi\) | |||||||
\(464\) | 2.69293 | + | 5.89669i | 0.125016 | + | 0.273747i | ||||
\(465\) | −1.89130 | − | 0.555334i | −0.0877067 | − | 0.0257530i | ||||
\(466\) | 9.61865 | − | 21.0619i | 0.445576 | − | 0.975674i | ||||
\(467\) | −13.5572 | + | 15.6459i | −0.627354 | + | 0.724005i | −0.977086 | − | 0.212845i | \(-0.931727\pi\) |
0.349732 | + | 0.936850i | \(0.386273\pi\) | |||||||
\(468\) | −0.295899 | + | 2.05802i | −0.0136779 | + | 0.0951321i | ||||
\(469\) | −13.1754 | + | 3.86864i | −0.608383 | + | 0.178637i | ||||
\(470\) | 0.843040 | + | 0.972920i | 0.0388865 | + | 0.0448774i | ||||
\(471\) | 17.1203 | − | 11.0025i | 0.788860 | − | 0.506970i | ||||
\(472\) | 1.19148 | − | 0.765715i | 0.0548421 | − | 0.0352449i | ||||
\(473\) | 5.54735 | + | 6.40199i | 0.255068 | + | 0.294364i | ||||
\(474\) | 0.813640 | − | 0.238906i | 0.0373717 | − | 0.0109733i | ||||
\(475\) | −0.505223 | + | 3.51390i | −0.0231812 | + | 0.161229i | ||||
\(476\) | 8.33506 | − | 9.61917i | 0.382037 | − | 0.440894i | ||||
\(477\) | 1.63174 | − | 3.57301i | 0.0747122 | − | 0.163597i | ||||
\(478\) | −0.403465 | − | 0.118468i | −0.0184541 | − | 0.00541860i | ||||
\(479\) | −7.34461 | − | 16.0825i | −0.335584 | − | 0.734826i | 0.664337 | − | 0.747434i | \(-0.268714\pi\) |
−0.999921 | + | 0.0126071i | \(0.995987\pi\) | |||||||
\(480\) | −0.142315 | − | 0.989821i | −0.00649575 | − | 0.0451790i | ||||
\(481\) | −14.2154 | − | 9.13569i | −0.648167 | − | 0.416552i | ||||
\(482\) | 1.01883 | 0.0464065 | ||||||||
\(483\) | −4.66486 | + | 12.0158i | −0.212258 | + | 0.546738i | ||||
\(484\) | −5.45917 | −0.248144 | ||||||||
\(485\) | −2.42973 | − | 1.56149i | −0.110328 | − | 0.0709038i | ||||
\(486\) | −0.142315 | − | 0.989821i | −0.00645553 | − | 0.0448992i | ||||
\(487\) | −16.1640 | − | 35.3942i | −0.732461 | − | 1.60387i | −0.795572 | − | 0.605860i | \(-0.792829\pi\) |
0.0631104 | − | 0.998007i | \(-0.479898\pi\) | |||||||
\(488\) | −2.42445 | − | 0.711883i | −0.109750 | − | 0.0322254i | ||||
\(489\) | 8.34936 | − | 18.2826i | 0.377571 | − | 0.826766i | ||||
\(490\) | −0.146353 | + | 0.168900i | −0.00661154 | + | 0.00763012i | ||||
\(491\) | 0.192064 | − | 1.33583i | 0.00866772 | − | 0.0602853i | −0.985029 | − | 0.172391i | \(-0.944851\pi\) |
0.993696 | + | 0.112106i | \(0.0357597\pi\) | |||||||
\(492\) | −0.914376 | + | 0.268485i | −0.0412232 | + | 0.0121042i | ||||
\(493\) | −20.1038 | − | 23.2010i | −0.905429 | − | 1.04492i | ||||
\(494\) | 6.20945 | − | 3.99057i | 0.279376 | − | 0.179544i | ||||
\(495\) | 1.98022 | − | 1.27261i | 0.0890044 | − | 0.0571997i | ||||
\(496\) | −1.29082 | − | 1.48969i | −0.0579596 | − | 0.0668890i | ||||
\(497\) | 1.41394 | − | 0.415169i | 0.0634237 | − | 0.0186229i | ||||
\(498\) | −0.916759 | + | 6.37620i | −0.0410810 | + | 0.285724i | ||||
\(499\) | 5.40724 | − | 6.24029i | 0.242061 | − | 0.279354i | −0.621699 | − | 0.783256i | \(-0.713557\pi\) |
0.863761 | + | 0.503902i | \(0.168103\pi\) | |||||||
\(500\) | 0.415415 | − | 0.909632i | 0.0185779 | − | 0.0406800i | ||||
\(501\) | −18.8596 | − | 5.53768i | −0.842585 | − | 0.247405i | ||||
\(502\) | −4.76930 | − | 10.4433i | −0.212864 | − | 0.466108i | ||||
\(503\) | −1.60458 | − | 11.1601i | −0.0715447 | − | 0.497604i | −0.993814 | − | 0.111056i | \(-0.964577\pi\) |
0.922269 | − | 0.386548i | \(-0.126333\pi\) | |||||||
\(504\) | −2.26100 | − | 1.45306i | −0.100713 | − | 0.0647242i | ||||
\(505\) | 6.78612 | 0.301978 | ||||||||
\(506\) | −2.25252 | − | 11.0619i | −0.100137 | − | 0.491761i | ||||
\(507\) | −8.67699 | −0.385359 | ||||||||
\(508\) | 16.2375 | + | 10.4352i | 0.720423 | + | 0.462988i | ||||
\(509\) | 4.65199 | + | 32.3553i | 0.206196 | + | 1.43412i | 0.785424 | + | 0.618959i | \(0.212445\pi\) |
−0.579228 | + | 0.815166i | \(0.696646\pi\) | |||||||
\(510\) | 1.96729 | + | 4.30776i | 0.0871131 | + | 0.190751i | ||||
\(511\) | 24.2775 | + | 7.12851i | 1.07397 | + | 0.315347i | ||||
\(512\) | 0.415415 | − | 0.909632i | 0.0183589 | − | 0.0402004i | ||||
\(513\) | −2.32478 | + | 2.68294i | −0.102642 | + | 0.118455i | ||||
\(514\) | 1.07983 | − | 7.51037i | 0.0476291 | − | 0.331268i | ||||
\(515\) | 5.17632 | − | 1.51991i | 0.228096 | − | 0.0669750i | ||||
\(516\) | 2.35667 | + | 2.71974i | 0.103747 | + | 0.119730i | ||||
\(517\) | −2.54925 | + | 1.63831i | −0.112116 | + | 0.0720526i | ||||
\(518\) | 18.3755 | − | 11.8092i | 0.807374 | − | 0.518868i | ||||
\(519\) | 1.88478 | + | 2.17515i | 0.0827326 | + | 0.0954785i | ||||
\(520\) | −1.99496 | + | 0.585774i | −0.0874849 | + | 0.0256879i | ||||
\(521\) | −2.99098 | + | 20.8027i | −0.131037 | + | 0.911383i | 0.813169 | + | 0.582028i | \(0.197741\pi\) |
−0.944206 | + | 0.329356i | \(0.893169\pi\) | |||||||
\(522\) | −4.24513 | + | 4.89915i | −0.185804 | + | 0.214430i | ||||
\(523\) | 7.38640 | − | 16.1740i | 0.322985 | − | 0.707238i | −0.676591 | − | 0.736359i | \(-0.736543\pi\) |
0.999576 | + | 0.0291208i | \(0.00927074\pi\) | |||||||
\(524\) | −15.6537 | − | 4.59633i | −0.683833 | − | 0.200792i | ||||
\(525\) | −1.11649 | − | 2.44478i | −0.0487277 | − | 0.106699i | ||||
\(526\) | −4.09418 | − | 28.4756i | −0.178515 | − | 1.24160i | ||||
\(527\) | 7.85291 | + | 5.04676i | 0.342078 | + | 0.219840i | ||||
\(528\) | 2.35390 | 0.102440 | ||||||||
\(529\) | −21.1686 | + | 8.99399i | −0.920372 | + | 0.391043i | ||||
\(530\) | 3.92797 | 0.170620 | ||||||||
\(531\) | 1.19148 | + | 0.765715i | 0.0517056 | + | 0.0332292i | ||||
\(532\) | 1.35787 | + | 9.44416i | 0.0588709 | + | 0.409456i | ||||
\(533\) | 0.823111 | + | 1.80236i | 0.0356529 | + | 0.0780689i | ||||
\(534\) | 11.1438 | + | 3.27212i | 0.482240 | + | 0.141598i | ||||
\(535\) | 1.49579 | − | 3.27533i | 0.0646688 | − | 0.141605i | ||||
\(536\) | 3.34578 | − | 3.86123i | 0.144516 | − | 0.166780i | ||||
\(537\) | −1.23377 | + | 8.58109i | −0.0532413 | + | 0.370301i | ||||
\(538\) | 2.75525 | − | 0.809014i | 0.118787 | − | 0.0348791i | ||||
\(539\) | −0.344499 | − | 0.397573i | −0.0148386 | − | 0.0171247i | ||||
\(540\) | 0.841254 | − | 0.540641i | 0.0362018 | − | 0.0232655i | ||||
\(541\) | −25.6931 | + | 16.5120i | −1.10463 | + | 0.709905i | −0.960117 | − | 0.279597i | \(-0.909799\pi\) |
−0.144517 | + | 0.989502i | \(0.546163\pi\) | |||||||
\(542\) | 12.1477 | + | 14.0192i | 0.521790 | + | 0.602178i | ||||
\(543\) | 13.1204 | − | 3.85249i | 0.563049 | − | 0.165326i | ||||
\(544\) | −0.673963 | + | 4.68752i | −0.0288959 | + | 0.200976i | ||||
\(545\) | 10.7194 | − | 12.3709i | 0.459170 | − | 0.529911i | ||||
\(546\) | −2.32139 | + | 5.08314i | −0.0993465 | + | 0.217538i | ||||
\(547\) | −32.9897 | − | 9.68664i | −1.41054 | − | 0.414171i | −0.514247 | − | 0.857642i | \(-0.671929\pi\) |
−0.896289 | + | 0.443471i | \(0.853747\pi\) | |||||||
\(548\) | 1.75843 | + | 3.85043i | 0.0751165 | + | 0.164482i | ||||
\(549\) | −0.359602 | − | 2.50109i | −0.0153474 | − | 0.106744i | ||||
\(550\) | 1.98022 | + | 1.27261i | 0.0844370 | + | 0.0542644i | ||||
\(551\) | 23.0131 | 0.980392 | ||||||||
\(552\) | −0.956931 | − | 4.69939i | −0.0407297 | − | 0.200019i | ||||
\(553\) | 2.27910 | 0.0969173 | ||||||||
\(554\) | 27.5188 | + | 17.6853i | 1.16916 | + | 0.751376i | ||||
\(555\) | 1.15662 | + | 8.04445i | 0.0490957 | + | 0.341468i | ||||
\(556\) | −3.76751 | − | 8.24970i | −0.159778 | − | 0.349865i | ||||
\(557\) | −5.72534 | − | 1.68111i | −0.242591 | − | 0.0712310i | 0.158177 | − | 0.987411i | \(-0.449438\pi\) |
−0.400768 | + | 0.916180i | \(0.631257\pi\) | |||||||
\(558\) | 0.818841 | − | 1.79301i | 0.0346643 | − | 0.0759043i | ||||
\(559\) | 4.89995 | − | 5.65485i | 0.207246 | − | 0.239175i | ||||
\(560\) | 0.382493 | − | 2.66030i | 0.0161633 | − | 0.112418i | ||||
\(561\) | −10.6958 | + | 3.14058i | −0.451579 | + | 0.132596i | ||||
\(562\) | 18.6184 | + | 21.4868i | 0.785371 | + | 0.906366i | ||||
\(563\) | −37.6931 | + | 24.2239i | −1.58857 | + | 1.02091i | −0.616170 | + | 0.787613i | \(0.711316\pi\) |
−0.972405 | + | 0.233301i | \(0.925047\pi\) | |||||||
\(564\) | −1.08299 | + | 0.695998i | −0.0456023 | + | 0.0293068i | ||||
\(565\) | 5.09461 | + | 5.87950i | 0.214332 | + | 0.247352i | ||||
\(566\) | −14.4207 | + | 4.23431i | −0.606148 | + | 0.177981i | ||||
\(567\) | 0.382493 | − | 2.66030i | 0.0160632 | − | 0.111722i | ||||
\(568\) | −0.359057 | + | 0.414374i | −0.0150657 | + | 0.0173867i | ||||
\(569\) | 2.73560 | − | 5.99014i | 0.114683 | − | 0.251120i | −0.843583 | − | 0.536998i | \(-0.819558\pi\) |
0.958266 | + | 0.285879i | \(0.0922854\pi\) | |||||||
\(570\) | −3.40624 | − | 1.00016i | −0.142672 | − | 0.0418922i | ||||
\(571\) | 3.63538 | + | 7.96036i | 0.152136 | + | 0.333131i | 0.970320 | − | 0.241826i | \(-0.0777462\pi\) |
−0.818184 | + | 0.574957i | \(0.805019\pi\) | |||||||
\(572\) | −0.696515 | − | 4.84437i | −0.0291228 | − | 0.202553i | ||||
\(573\) | 9.69312 | + | 6.22939i | 0.404936 | + | 0.260236i | ||||
\(574\) | −2.56128 | −0.106906 | ||||||||
\(575\) | 1.73566 | − | 4.47074i | 0.0723821 | − | 0.186443i | ||||
\(576\) | 1.00000 | 0.0416667 | ||||||||
\(577\) | −29.2735 | − | 18.8129i | −1.21867 | − | 0.783192i | −0.236582 | − | 0.971611i | \(-0.576027\pi\) |
−0.982089 | + | 0.188419i | \(0.939664\pi\) | |||||||
\(578\) | −0.772351 | − | 5.37182i | −0.0321256 | − | 0.223438i | ||||
\(579\) | −1.07102 | − | 2.34521i | −0.0445102 | − | 0.0974636i | ||||
\(580\) | −6.21991 | − | 1.82633i | −0.258268 | − | 0.0758343i | ||||
\(581\) | −7.19218 | + | 15.7487i | −0.298382 | + | 0.653365i | ||||
\(582\) | 1.89139 | − | 2.18278i | 0.0784005 | − | 0.0904790i | ||||
\(583\) | −1.31585 | + | 9.15193i | −0.0544969 | + | 0.379034i | ||||
\(584\) | −9.03296 | + | 2.65232i | −0.373787 | + | 0.109754i | ||||
\(585\) | −1.36158 | − | 1.57134i | −0.0562943 | − | 0.0649670i | ||||
\(586\) | 19.6253 | − | 12.6124i | 0.810714 | − | 0.521014i | ||||
\(587\) | −34.7489 | + | 22.3318i | −1.43424 | + | 0.921730i | −0.434462 | + | 0.900690i | \(0.643061\pi\) |
−0.999779 | + | 0.0210402i | \(0.993302\pi\) | |||||||
\(588\) | −0.146353 | − | 0.168900i | −0.00603548 | − | 0.00696532i | ||||
\(589\) | −6.71417 | + | 1.97146i | −0.276653 | + | 0.0812325i | ||||
\(590\) | −0.201562 | + | 1.40189i | −0.00829817 | + | 0.0577151i | ||||
\(591\) | 12.6829 | − | 14.6369i | 0.521705 | − | 0.602080i | ||||
\(592\) | −3.37615 | + | 7.39274i | −0.138759 | + | 0.303840i | ||||
\(593\) | −35.8502 | − | 10.5266i | −1.47219 | − | 0.432274i | −0.555381 | − | 0.831596i | \(-0.687427\pi\) |
−0.916811 | + | 0.399322i | \(0.869246\pi\) | |||||||
\(594\) | 0.977844 | + | 2.14118i | 0.0401214 | + | 0.0878536i | ||||
\(595\) | 1.81138 | + | 12.5984i | 0.0742594 | + | 0.516485i | ||||
\(596\) | 10.5252 | + | 6.76416i | 0.431131 | + | 0.277071i | ||||
\(597\) | −16.5556 | −0.677576 | ||||||||
\(598\) | −9.38830 | + | 3.35993i | −0.383916 | + | 0.137398i | ||||
\(599\) | −36.4366 | −1.48876 | −0.744379 | − | 0.667757i | \(-0.767254\pi\) | ||||
−0.744379 | + | 0.667757i | \(0.767254\pi\) | |||||||
\(600\) | 0.841254 | + | 0.540641i | 0.0343440 | + | 0.0220716i | ||||
\(601\) | 1.44474 | + | 10.0484i | 0.0589323 | + | 0.409883i | 0.997839 | + | 0.0657106i | \(0.0209314\pi\) |
−0.938906 | + | 0.344173i | \(0.888159\pi\) | |||||||
\(602\) | 4.01796 | + | 8.79810i | 0.163760 | + | 0.358584i | ||||
\(603\) | 4.90219 | + | 1.43941i | 0.199633 | + | 0.0586174i | ||||
\(604\) | 0.140722 | − | 0.308137i | 0.00572588 | − | 0.0125379i | ||||
\(605\) | 3.57500 | − | 4.12577i | 0.145344 | − | 0.167736i | ||||
\(606\) | −0.965765 | + | 6.71705i | −0.0392315 | + | 0.272861i | ||||
\(607\) | −19.8573 | + | 5.83062i | −0.805982 | + | 0.236658i | −0.658670 | − | 0.752432i | \(-0.728881\pi\) |
−0.147313 | + | 0.989090i | \(0.547062\pi\) | |||||||
\(608\) | −2.32478 | − | 2.68294i | −0.0942823 | − | 0.108808i | ||||
\(609\) | −14.6569 | + | 9.41943i | −0.593929 | + | 0.381695i | ||||
\(610\) | 2.12568 | − | 1.36609i | 0.0860664 | − | 0.0553115i | ||||
\(611\) | 1.75284 | + | 2.02288i | 0.0709121 | + | 0.0818370i | ||||
\(612\) | −4.54389 | + | 1.33421i | −0.183676 | + | 0.0539321i | ||||
\(613\) | 6.37438 | − | 44.3348i | 0.257459 | − | 1.79067i | −0.293319 | − | 0.956015i | \(-0.594760\pi\) |
0.550778 | − | 0.834652i | \(-0.314331\pi\) | |||||||
\(614\) | 2.73631 | − | 3.15787i | 0.110429 | − | 0.127441i | ||||
\(615\) | 0.395881 | − | 0.866859i | 0.0159635 | − | 0.0349551i | ||||
\(616\) | 6.07019 | + | 1.78237i | 0.244575 | + | 0.0718137i | ||||
\(617\) | 11.4115 | + | 24.9877i | 0.459409 | + | 1.00597i | 0.987622 | + | 0.156854i | \(0.0501351\pi\) |
−0.528213 | + | 0.849112i | \(0.677138\pi\) | |||||||
\(618\) | 0.767767 | + | 5.33994i | 0.0308841 | + | 0.214804i | ||||
\(619\) | −30.7795 | − | 19.7808i | −1.23713 | − | 0.795057i | −0.252146 | − | 0.967689i | \(-0.581136\pi\) |
−0.984986 | + | 0.172632i | \(0.944773\pi\) | |||||||
\(620\) | 1.97114 | 0.0791629 | ||||||||
\(621\) | 3.87719 | − | 2.82265i | 0.155586 | − | 0.113269i | ||||
\(622\) | 10.2139 | 0.409539 | ||||||||
\(623\) | 26.2598 | + | 16.8762i | 1.05208 | + | 0.676130i | ||||
\(624\) | −0.295899 | − | 2.05802i | −0.0118454 | − | 0.0823868i | ||||
\(625\) | 0.415415 | + | 0.909632i | 0.0166166 | + | 0.0363853i | ||||
\(626\) | 13.1539 | + | 3.86234i | 0.525737 | + | 0.154370i | ||||
\(627\) | 3.47138 | − | 7.60127i | 0.138634 | − | 0.303565i | ||||
\(628\) | −13.3270 | + | 15.3802i | −0.531805 | + | 0.613736i | ||||
\(629\) | 5.47742 | − | 38.0963i | 0.218399 | − | 1.51900i | ||||
\(630\) | 2.57879 | − | 0.757200i | 0.102741 | − | 0.0301676i | ||||
\(631\) | 2.87255 | + | 3.31510i | 0.114354 | + | 0.131972i | 0.810041 | − | 0.586374i | \(-0.199445\pi\) |
−0.695686 | + | 0.718346i | \(0.744900\pi\) | |||||||
\(632\) | −0.713374 | + | 0.458458i | −0.0283765 | + | 0.0182365i | ||||
\(633\) | −18.1296 | + | 11.6512i | −0.720589 | + | 0.463094i | ||||
\(634\) | 14.0731 | + | 16.2412i | 0.558914 | + | 0.645021i | ||||
\(635\) | −18.5197 | + | 5.43788i | −0.734933 | + | 0.215796i | ||||
\(636\) | −0.559009 | + | 3.88799i | −0.0221661 | + | 0.154169i | ||||
\(637\) | −0.304294 | + | 0.351174i | −0.0120566 | + | 0.0139140i | ||||
\(638\) | 6.33887 | − | 13.8802i | 0.250958 | − | 0.549522i | ||||
\(639\) | −0.526085 | − | 0.154473i | −0.0208116 | − | 0.00611084i | ||||
\(640\) | 0.415415 | + | 0.909632i | 0.0164207 | + | 0.0359564i | ||||
\(641\) | 2.96320 | + | 20.6095i | 0.117039 | + | 0.814027i | 0.960787 | + | 0.277287i | \(0.0894354\pi\) |
−0.843748 | + | 0.536740i | \(0.819656\pi\) | |||||||
\(642\) | 3.02912 | + | 1.94670i | 0.119550 | + | 0.0768300i | ||||
\(643\) | −28.5121 | −1.12441 | −0.562203 | − | 0.826999i | \(-0.690046\pi\) | ||||
−0.562203 | + | 0.826999i | \(0.690046\pi\) | |||||||
\(644\) | 1.09066 | − | 12.8433i | 0.0429780 | − | 0.506097i | ||||
\(645\) | −3.59873 | −0.141700 | ||||||||
\(646\) | 14.1431 | + | 9.08925i | 0.556455 | + | 0.357612i | ||||
\(647\) | −2.15994 | − | 15.0227i | −0.0849160 | − | 0.590603i | −0.987203 | − | 0.159468i | \(-0.949022\pi\) |
0.902287 | − | 0.431136i | \(-0.141887\pi\) | |||||||
\(648\) | 0.415415 | + | 0.909632i | 0.0163190 | + | 0.0357337i | ||||
\(649\) | −3.19880 | − | 0.939253i | −0.125564 | − | 0.0368689i | ||||
\(650\) | 0.863725 | − | 1.89129i | 0.0338781 | − | 0.0741826i | ||||
\(651\) | 3.46928 | − | 4.00377i | 0.135972 | − | 0.156920i | ||||
\(652\) | −2.86036 | + | 19.8943i | −0.112021 | + | 0.779120i | ||||
\(653\) | −38.2461 | + | 11.2301i | −1.49668 | + | 0.439466i | −0.924667 | − | 0.380776i | \(-0.875657\pi\) |
−0.572017 | + | 0.820242i | \(0.693839\pi\) | |||||||
\(654\) | 10.7194 | + | 12.3709i | 0.419163 | + | 0.483740i | ||||
\(655\) | 13.7246 | − | 8.82029i | 0.536266 | − | 0.344637i | ||||
\(656\) | 0.801696 | − | 0.515219i | 0.0313010 | − | 0.0201159i | ||||
\(657\) | −6.16506 | − | 7.11486i | −0.240522 | − | 0.277577i | ||||
\(658\) | −3.31982 | + | 0.974787i | −0.129420 | + | 0.0380011i | ||||
\(659\) | −5.89947 | + | 41.0317i | −0.229811 | + | 1.59837i | 0.469091 | + | 0.883150i | \(0.344582\pi\) |
−0.698901 | + | 0.715218i | \(0.746327\pi\) | |||||||
\(660\) | −1.54147 | + | 1.77896i | −0.0600018 | + | 0.0692458i | ||||
\(661\) | 10.5912 | − | 23.1915i | 0.411950 | − | 0.902045i | −0.583967 | − | 0.811777i | \(-0.698500\pi\) |
0.995918 | − | 0.0902679i | \(-0.0287723\pi\) | |||||||
\(662\) | −9.80666 | − | 2.87950i | −0.381147 | − | 0.111915i | ||||
\(663\) | 4.09036 | + | 8.95664i | 0.158856 | + | 0.347847i | ||||
\(664\) | −0.916759 | − | 6.37620i | −0.0355772 | − | 0.247445i | ||||
\(665\) | −8.02663 | − | 5.15840i | −0.311259 | − | 0.200034i | ||||
\(666\) | −8.12717 | −0.314922 | ||||||||
\(667\) | −30.2878 | − | 7.01240i | −1.17275 | − | 0.271521i | ||||
\(668\) | 19.6558 | 0.760506 | ||||||||
\(669\) | 9.39401 | + | 6.03716i | 0.363193 | + | 0.233410i | ||||
\(670\) | 0.727107 | + | 5.05714i | 0.0280906 | + | 0.195374i | ||||
\(671\) | 2.47082 | + | 5.41034i | 0.0953850 | + | 0.208864i | ||||
\(672\) | 2.57879 | + | 0.757200i | 0.0994788 | + | 0.0292096i | ||||
\(673\) | −10.1851 | + | 22.3022i | −0.392606 | + | 0.859688i | 0.605360 | + | 0.795952i | \(0.293029\pi\) |
−0.997967 | + | 0.0637367i | \(0.979698\pi\) | |||||||
\(674\) | −1.41737 | + | 1.63574i | −0.0545952 | + | 0.0630062i | ||||
\(675\) | −0.142315 | + | 0.989821i | −0.00547770 | + | 0.0380982i | ||||
\(676\) | 8.32551 | − | 2.44459i | 0.320212 | − | 0.0940227i | ||||
\(677\) | 20.0769 | + | 23.1700i | 0.771617 | + | 0.890494i | 0.996474 | − | 0.0838980i | \(-0.0267370\pi\) |
−0.224857 | + | 0.974392i | \(0.572192\pi\) | |||||||
\(678\) | −6.54469 | + | 4.20602i | −0.251347 | + | 0.161531i | ||||
\(679\) | 6.53028 | − | 4.19676i | 0.250609 | − | 0.161057i | ||||
\(680\) | −3.10124 | − | 3.57902i | −0.118927 | − | 0.137249i | ||||
\(681\) | 24.3000 | − | 7.13513i | 0.931179 | − | 0.273419i | ||||
\(682\) | −0.660321 | + | 4.59263i | −0.0252850 | + | 0.175861i | ||||
\(683\) | −18.5011 | + | 21.3514i | −0.707924 | + | 0.816987i | −0.989800 | − | 0.142463i | \(-0.954498\pi\) |
0.281876 | + | 0.959451i | \(0.409043\pi\) | |||||||
\(684\) | 1.47474 | − | 3.22923i | 0.0563881 | − | 0.123473i | ||||
\(685\) | −4.06149 | − | 1.19256i | −0.155182 | − | 0.0455654i | ||||
\(686\) | 7.56592 | + | 16.5671i | 0.288868 | + | 0.632533i | ||||
\(687\) | 3.24918 | + | 22.5986i | 0.123964 | + | 0.862189i | ||||
\(688\) | −3.02745 | − | 1.94562i | −0.115420 | − | 0.0741762i | ||||
\(689\) | 8.16698 | 0.311137 | ||||||||
\(690\) | 4.17822 | + | 2.35425i | 0.159062 | + | 0.0896247i | ||||
\(691\) | 17.6587 | 0.671769 | 0.335885 | − | 0.941903i | \(-0.390965\pi\) | ||||
0.335885 | + | 0.941903i | \(0.390965\pi\) | |||||||
\(692\) | −2.42124 | − | 1.55604i | −0.0920418 | − | 0.0591517i | ||||
\(693\) | 0.900349 | + | 6.26206i | 0.0342014 | + | 0.237876i | ||||
\(694\) | 9.74649 | + | 21.3418i | 0.369972 | + | 0.810125i | ||||
\(695\) | 8.70190 | + | 2.55511i | 0.330082 | + | 0.0969208i | ||||
\(696\) | 2.69293 | − | 5.89669i | 0.102075 | − | 0.223513i | ||||
\(697\) | −2.95541 | + | 3.41073i | −0.111944 | + | 0.129191i | ||||
\(698\) | 0.744967 | − | 5.18136i | 0.0281974 | − | 0.196117i | ||||
\(699\) | −22.2164 | + | 6.52333i | −0.840302 | + | 0.246735i | ||||
\(700\) | 1.76004 | + | 2.03119i | 0.0665232 | + | 0.0767719i | ||||
\(701\) | −0.0219128 | + | 0.0140825i | −0.000827634 | + | 0.000531888i | −0.541055 | − | 0.840987i | \(-0.681975\pi\) |
0.540227 | + | 0.841519i | \(0.318338\pi\) | |||||||
\(702\) | 1.74912 | − | 1.12409i | 0.0660163 | − | 0.0424261i | ||||
\(703\) | 18.8939 | + | 21.8047i | 0.712597 | + | 0.822381i | ||||
\(704\) | −2.25855 | + | 0.663169i | −0.0851222 | + | 0.0249941i | ||||
\(705\) | 0.183210 | − | 1.27425i | 0.00690009 | − | 0.0479912i | ||||
\(706\) | 17.7991 | − | 20.5413i | 0.669878 | − | 0.773081i | ||||
\(707\) | −7.57665 | + | 16.5905i | −0.284949 | + | 0.623952i | ||||
\(708\) | −1.35894 | − | 0.399021i | −0.0510721 | − | 0.0149961i | ||||
\(709\) | 8.15230 | + | 17.8510i | 0.306166 | + | 0.670410i | 0.998700 | − | 0.0509754i | \(-0.0162330\pi\) |
−0.692534 | + | 0.721385i | \(0.743506\pi\) | |||||||
\(710\) | −0.0780305 | − | 0.542714i | −0.00292843 | − | 0.0203677i | ||||
\(711\) | −0.713374 | − | 0.458458i | −0.0267536 | − | 0.0171935i | ||||
\(712\) | −11.6143 | −0.435263 | ||||||||
\(713\) | 9.43732 | − | 0.548760i | 0.353430 | − | 0.0205512i | ||||
\(714\) | −12.7280 | −0.476333 | ||||||||
\(715\) | 4.11725 | + | 2.64600i | 0.153976 | + | 0.0989546i | ||||
\(716\) | −1.23377 | − | 8.58109i | −0.0461083 | − | 0.320690i | ||||
\(717\) | 0.174681 | + | 0.382498i | 0.00652359 | + | 0.0142847i | ||||
\(718\) | −27.1950 | − | 7.98518i | −1.01491 | − | 0.298004i | ||||
\(719\) | −6.13191 | + | 13.4270i | −0.228682 | + | 0.500743i | −0.988838 | − | 0.148998i | \(-0.952395\pi\) |
0.760156 | + | 0.649741i | \(0.225123\pi\) | |||||||
\(720\) | −0.654861 | + | 0.755750i | −0.0244052 | + | 0.0281651i | ||||
\(721\) | −2.06349 | + | 14.3519i | −0.0768485 | + | 0.534493i | ||||
\(722\) | 6.13809 | − | 1.80231i | 0.228436 | − | 0.0670749i | ||||
\(723\) | −0.667192 | − | 0.769981i | −0.0248132 | − | 0.0286359i | ||||
\(724\) | −11.5035 | + | 7.39287i | −0.427526 | + | 0.274754i | ||||
\(725\) | 5.45343 | − | 3.50470i | 0.202535 | − | 0.130161i | ||||
\(726\) | 3.57500 | + | 4.12577i | 0.132681 | + | 0.153122i | ||||
\(727\) | 6.16919 | − | 1.81144i | 0.228803 | − | 0.0671826i | −0.165321 | − | 0.986240i | \(-0.552866\pi\) |
0.394124 | + | 0.919057i | \(0.371048\pi\) | |||||||
\(728\) | 0.795274 | − | 5.53125i | 0.0294748 | − | 0.205002i | ||||
\(729\) | −0.654861 | + | 0.755750i | −0.0242541 | + | 0.0279907i | ||||
\(730\) | 3.91085 | − | 8.56356i | 0.144747 | − | 0.316951i | ||||
\(731\) | 16.3523 | + | 4.80146i | 0.604810 | + | 0.177588i | ||||
\(732\) | 1.04967 | + | 2.29846i | 0.0387970 | + | 0.0849536i | ||||
\(733\) | 3.51682 | + | 24.4600i | 0.129897 | + | 0.903450i | 0.945681 | + | 0.325095i | \(0.105396\pi\) |
−0.815785 | + | 0.578355i | \(0.803695\pi\) | |||||||
\(734\) | −17.8332 | − | 11.4607i | −0.658237 | − | 0.423023i | ||||
\(735\) | 0.223487 | 0.00824343 | ||||||||
\(736\) | 2.24214 | + | 4.23943i | 0.0826464 | + | 0.156268i | ||||
\(737\) | −12.0264 | −0.442998 | ||||||||
\(738\) | 0.801696 | + | 0.515219i | 0.0295108 | + | 0.0189655i | ||||
\(739\) | 4.57407 | + | 31.8134i | 0.168260 | + | 1.17027i | 0.882479 | + | 0.470352i | \(0.155873\pi\) |
−0.714219 | + | 0.699922i | \(0.753218\pi\) | |||||||
\(740\) | −3.37615 | − | 7.39274i | −0.124110 | − | 0.271762i | ||||
\(741\) | −7.08220 | − | 2.07952i | −0.260171 | − | 0.0763931i | ||||
\(742\) | −4.38555 | + | 9.60302i | −0.160999 | + | 0.352538i | ||||
\(743\) | −24.4724 | + | 28.2426i | −0.897805 | + | 1.03612i | 0.101343 | + | 0.994852i | \(0.467686\pi\) |
−0.999148 | + | 0.0412702i | \(0.986860\pi\) | |||||||
\(744\) | −0.280522 | + | 1.95108i | −0.0102845 | + | 0.0715299i | ||||
\(745\) | −12.0046 | + | 3.52486i | −0.439814 | + | 0.129141i | ||||
\(746\) | 7.48345 | + | 8.63636i | 0.273989 | + | 0.316200i | ||||
\(747\) | 5.41916 | − | 3.48268i | 0.198277 | − | 0.127425i | ||||
\(748\) | 9.37779 | − | 6.02674i | 0.342886 | − | 0.220359i | ||||
\(749\) | 6.33741 | + | 7.31376i | 0.231564 | + | 0.267239i | ||||
\(750\) | −0.959493 | + | 0.281733i | −0.0350357 | + | 0.0102874i | ||||
\(751\) | 6.32545 | − | 43.9945i | 0.230819 | − | 1.60538i | −0.463757 | − | 0.885963i | \(-0.653499\pi\) |
0.694576 | − | 0.719419i | \(-0.255592\pi\) | |||||||
\(752\) | 0.843040 | − | 0.972920i | 0.0307425 | − | 0.0354787i | ||||
\(753\) | −4.76930 | + | 10.4433i | −0.173803 | + | 0.380576i | ||||
\(754\) | −12.9324 | − | 3.79728i | −0.470968 | − | 0.138289i | ||||
\(755\) | 0.140722 | + | 0.308137i | 0.00512138 | + | 0.0112143i | ||||
\(756\) | 0.382493 | + | 2.66030i | 0.0139111 | + | 0.0967541i | ||||
\(757\) | 10.4193 | + | 6.69610i | 0.378697 | + | 0.243374i | 0.716117 | − | 0.697980i | \(-0.245918\pi\) |
−0.337420 | + | 0.941354i | \(0.609554\pi\) | |||||||
\(758\) | −2.43401 | −0.0884074 | ||||||||
\(759\) | −6.88493 | + | 8.94633i | −0.249907 | + | 0.324731i | ||||
\(760\) | 3.55004 | 0.128773 | ||||||||
\(761\) | 21.4150 | + | 13.7626i | 0.776295 | + | 0.498894i | 0.867802 | − | 0.496910i | \(-0.165532\pi\) |
−0.0915073 | + | 0.995804i | \(0.529168\pi\) | |||||||
\(762\) | −2.74690 | − | 19.1051i | −0.0995097 | − | 0.692105i | ||||
\(763\) | 18.2759 | + | 40.0186i | 0.661632 | + | 1.44877i | ||||
\(764\) | −11.0555 | − | 3.24619i | −0.399974 | − | 0.117443i | ||||
\(765\) | 1.96729 | − | 4.30776i | 0.0711275 | − | 0.155748i | ||||
\(766\) | −11.8147 | + | 13.6349i | −0.426882 | + | 0.492648i | ||||
\(767\) | −0.419084 | + | 2.91480i | −0.0151323 | + | 0.105247i | ||||
\(768\) | −0.959493 | + | 0.281733i | −0.0346227 | + | 0.0101661i | ||||
\(769\) | −5.66807 | − | 6.54131i | −0.204396 | − | 0.235886i | 0.644292 | − | 0.764780i | \(-0.277152\pi\) |
−0.848688 | + | 0.528894i | \(0.822607\pi\) | |||||||
\(770\) | −5.32216 | + | 3.42034i | −0.191797 | + | 0.123261i | ||||
\(771\) | −6.38309 | + | 4.10216i | −0.229881 | + | 0.147736i | ||||
\(772\) | 1.68836 | + | 1.94847i | 0.0607654 | + | 0.0701270i | ||||
\(773\) | −4.66484 | + | 1.36972i | −0.167783 | + | 0.0492654i | −0.364545 | − | 0.931186i | \(-0.618775\pi\) |
0.196762 | + | 0.980451i | \(0.436957\pi\) | |||||||
\(774\) | 0.512153 | − | 3.56210i | 0.0184090 | − | 0.128037i | ||||
\(775\) | −1.29082 | + | 1.48969i | −0.0463677 | + | 0.0535112i | ||||
\(776\) | −1.19981 | + | 2.62723i | −0.0430708 | + | 0.0943119i | ||||
\(777\) | −20.9582 | − | 6.15389i | −0.751873 | − | 0.220770i | ||||
\(778\) | 13.3361 | + | 29.2020i | 0.478123 | + | 1.04694i | ||||
\(779\) | −0.481467 | − | 3.34867i | −0.0172503 | − | 0.119979i | ||||
\(780\) | 1.74912 | + | 1.12409i | 0.0626286 | + | 0.0402490i | ||||
\(781\) | 1.29063 | 0.0461823 | ||||||||
\(782\) | −15.8443 | − | 16.2721i | −0.566592 | − | 0.581887i | ||||
\(783\) | 6.48250 | 0.231666 | ||||||||
\(784\) | 0.188009 | + | 0.120826i | 0.00671460 | + | 0.00431521i | ||||
\(785\) | −2.89623 | − | 20.1438i | −0.103371 | − | 0.718961i | ||||
\(786\) | 6.77729 | + | 14.8402i | 0.241738 | + | 0.529332i | ||||
\(787\) | 9.15033 | + | 2.68678i | 0.326174 | + | 0.0957734i | 0.440720 | − | 0.897645i | \(-0.354723\pi\) |
−0.114546 | + | 0.993418i | \(0.536541\pi\) | |||||||
\(788\) | −8.04548 | + | 17.6171i | −0.286608 | + | 0.627585i | ||||
\(789\) | −18.8393 | + | 21.7417i | −0.670698 | + | 0.774026i | ||||
\(790\) | 0.120682 | − | 0.839358i | 0.00429366 | − | 0.0298630i | ||||
\(791\) | −20.0622 | + | 5.89078i | −0.713328 | + | 0.209452i | ||||
\(792\) | −1.54147 | − | 1.77896i | −0.0547739 | − | 0.0632124i | ||||
\(793\) | 4.41969 | − | 2.84036i | 0.156948 | − | 0.100864i | ||||
\(794\) | 10.1654 | − | 6.53292i | 0.360758 | − | 0.231845i | ||||
\(795\) | −2.57228 | − | 2.96856i | −0.0912292 | − | 0.105284i | ||||
\(796\) | 15.8850 | − | 4.66425i | 0.563028 | − | 0.165320i | ||||
\(797\) | 4.26786 | − | 29.6836i | 0.151175 | − | 1.05145i | −0.763078 | − | 0.646306i | \(-0.776313\pi\) |
0.914254 | − | 0.405142i | \(-0.132778\pi\) | |||||||
\(798\) | 6.24821 | − | 7.21082i | 0.221184 | − | 0.255260i | ||||
\(799\) | −2.53261 | + | 5.54563i | −0.0895971 | + | 0.196190i | ||||
\(800\) | −0.959493 | − | 0.281733i | −0.0339232 | − | 0.00996075i | ||||
\(801\) | −4.82474 | − | 10.5647i | −0.170474 | − | 0.373286i | ||||
\(802\) | 1.47174 | + | 10.2362i | 0.0519690 | + | 0.361453i | ||||
\(803\) | 18.6424 | + | 11.9808i | 0.657877 | + | 0.422792i | ||||
\(804\) | −5.10914 | −0.180186 | ||||||||
\(805\) | 8.99210 | + | 9.23485i | 0.316930 | + | 0.325486i | ||||
\(806\) | 4.09837 | 0.144359 | ||||||||
\(807\) | −2.41572 | − | 1.55249i | −0.0850372 | − | 0.0546501i | ||||
\(808\) | −0.965765 | − | 6.71705i | −0.0339755 | − | 0.236305i | ||||
\(809\) | −22.7547 | − | 49.8258i | −0.800012 | − | 1.75178i | −0.645455 | − | 0.763798i | \(-0.723332\pi\) |
−0.154557 | − | 0.987984i | \(-0.549395\pi\) | |||||||
\(810\) | −0.959493 | − | 0.281733i | −0.0337131 | − | 0.00989907i | ||||
\(811\) | 10.7722 | − | 23.5879i | 0.378264 | − | 0.828283i | −0.620755 | − | 0.784005i | \(-0.713174\pi\) |
0.999019 | − | 0.0442787i | \(-0.0140990\pi\) | |||||||
\(812\) | 11.4095 | − | 13.1672i | 0.400393 | − | 0.462079i | ||||
\(813\) | 2.63996 | − | 18.3613i | 0.0925873 | − | 0.643959i | ||||
\(814\) | 18.3556 | − | 5.38969i | 0.643363 | − | 0.188909i | ||||
\(815\) | −13.1619 | − | 15.1897i | −0.461043 | − | 0.532072i | ||||
\(816\) | 3.98394 | − | 2.56032i | 0.139466 | − | 0.0896293i | ||||
\(817\) | −10.7476 | + | 6.90703i | −0.376009 | + | 0.241647i | ||||
\(818\) | −12.7801 | − | 14.7490i | −0.446846 | − | 0.515687i | ||||
\(819\) | 5.36177 | − | 1.57436i | 0.187355 | − | 0.0550125i | ||||
\(820\) | −0.135623 | + | 0.943278i | −0.00473616 | + | 0.0329407i | ||||
\(821\) | 30.8831 | − | 35.6410i | 1.07783 | − | 1.24388i | 0.109556 | − | 0.993981i | \(-0.465057\pi\) |
0.968272 | − | 0.249899i | \(-0.0803975\pi\) | |||||||
\(822\) | 1.75843 | − | 3.85043i | 0.0613324 | − | 0.134299i | ||||
\(823\) | −21.8092 | − | 6.40376i | −0.760221 | − | 0.223221i | −0.121429 | − | 0.992600i | \(-0.538748\pi\) |
−0.638792 | + | 0.769379i | \(0.720566\pi\) | |||||||
\(824\) | −2.24110 | − | 4.90733i | −0.0780725 | − | 0.170955i | ||||
\(825\) | −0.334994 | − | 2.32994i | −0.0116630 | − | 0.0811180i | ||||
\(826\) | −3.20227 | − | 2.05798i | −0.111421 | − | 0.0716062i | ||||
\(827\) | 1.46436 | 0.0509209 | 0.0254604 | − | 0.999676i | \(-0.491895\pi\) | ||||
0.0254604 | + | 0.999676i | \(0.491895\pi\) | |||||||
\(828\) | −2.92491 | + | 3.80065i | −0.101648 | + | 0.132082i | ||||
\(829\) | 9.24247 | 0.321004 | 0.160502 | − | 0.987036i | \(-0.448689\pi\) | ||||
0.160502 | + | 0.987036i | \(0.448689\pi\) | |||||||
\(830\) | 5.41916 | + | 3.48268i | 0.188102 | + | 0.120886i | ||||
\(831\) | −4.65536 | − | 32.3787i | −0.161493 | − | 1.12321i | ||||
\(832\) | 0.863725 | + | 1.89129i | 0.0299443 | + | 0.0655688i | ||||
\(833\) | −1.01550 | − | 0.298177i | −0.0351850 | − | 0.0103312i | ||||
\(834\) | −3.76751 | + | 8.24970i | −0.130458 | + | 0.285664i | ||||
\(835\) | −12.8718 | + | 14.8549i | −0.445448 | + | 0.514074i | ||||
\(836\) | −1.18924 | + | 8.27136i | −0.0411308 | + | 0.286071i | ||||
\(837\) | −1.89130 | + | 0.555334i | −0.0653727 | + | 0.0191952i | ||||
\(838\) | 6.99381 | + | 8.07129i | 0.241597 | + | 0.278818i | ||||
\(839\) | −14.0375 | + | 9.02134i | −0.484628 | + | 0.311451i | −0.760042 | − | 0.649875i | \(-0.774821\pi\) |
0.275414 | + | 0.961326i | \(0.411185\pi\) | |||||||
\(840\) | −2.26100 | + | 1.45306i | −0.0780119 | + | 0.0501352i | ||||
\(841\) | −8.52812 | − | 9.84198i | −0.294073 | − | 0.339379i | ||||
\(842\) | −36.7184 | + | 10.7815i | −1.26540 | + | 0.371555i | ||||
\(843\) | 4.04617 | − | 28.1417i | 0.139357 | − | 0.969252i | ||||
\(844\) | 14.1127 | − | 16.2870i | 0.485781 | − | 0.560621i | ||||
\(845\) | −3.60455 | + | 7.89287i | −0.124000 | + | 0.271523i | ||||
\(846\) | 1.23521 | + | 0.362690i | 0.0424674 | + | 0.0124696i | ||||
\(847\) | 6.09512 | + | 13.3465i | 0.209431 | + | 0.458590i | ||||
\(848\) | −0.559009 | − | 3.88799i | −0.0191964 | − | 0.133514i | ||||
\(849\) | 12.6436 | + | 8.12557i | 0.433929 | + | 0.278869i | ||||
\(850\) | 4.73572 | 0.162434 | ||||||||
\(851\) | −18.2223 | − | 34.4546i | −0.624651 | − | 1.18109i | ||||
\(852\) | 0.548295 | 0.0187843 | ||||||||
\(853\) | −39.6690 | − | 25.4937i | −1.35824 | − | 0.872887i | −0.360044 | − | 0.932935i | \(-0.617238\pi\) |
−0.998195 | + | 0.0600483i | \(0.980875\pi\) | |||||||
\(854\) | 0.966486 | + | 6.72205i | 0.0330725 | + | 0.230024i | ||||
\(855\) | 1.47474 | + | 3.22923i | 0.0504350 | + | 0.110437i | ||||
\(856\) | −3.45487 | − | 1.01444i | −0.118085 | − | 0.0346728i | ||||
\(857\) | −4.25807 | + | 9.32388i | −0.145453 | + | 0.318498i | −0.968310 | − | 0.249751i | \(-0.919651\pi\) |
0.822857 | + | 0.568248i | \(0.192379\pi\) | |||||||
\(858\) | −3.20501 | + | 3.69878i | −0.109417 | + | 0.126274i | ||||
\(859\) | −1.45003 | + | 10.0852i | −0.0494744 | + | 0.344102i | 0.950017 | + | 0.312199i | \(0.101066\pi\) |
−0.999491 | + | 0.0319024i | \(0.989843\pi\) | |||||||
\(860\) | 3.45296 | − | 1.01388i | 0.117745 | − | 0.0345730i | ||||
\(861\) | 1.67728 | + | 1.93568i | 0.0571615 | + | 0.0659679i | ||||
\(862\) | 31.5583 | − | 20.2813i | 1.07488 | − | 0.690784i | ||||
\(863\) | 15.1259 | − | 9.72080i | 0.514890 | − | 0.330900i | −0.257257 | − | 0.966343i | \(-0.582819\pi\) |
0.772148 | + | 0.635443i | \(0.219182\pi\) | |||||||
\(864\) | −0.654861 | − | 0.755750i | −0.0222788 | − | 0.0257111i | ||||
\(865\) | 2.76155 | − | 0.810865i | 0.0938956 | − | 0.0275702i | ||||
\(866\) | −0.0731420 | + | 0.508714i | −0.00248547 | + | 0.0172868i | ||||
\(867\) | −3.55397 | + | 4.10150i | −0.120699 | + | 0.139294i | ||||
\(868\) | −2.20076 | + | 4.81900i | −0.0746987 | + | 0.163567i | ||||
\(869\) | 1.91522 | + | 0.562361i | 0.0649695 | + | 0.0190768i | ||||
\(870\) | 2.69293 | + | 5.89669i | 0.0912988 | + | 0.199916i | ||||
\(871\) | 1.51179 | + | 10.5147i | 0.0512251 | + | 0.356278i | ||||
\(872\) | −13.7705 | − | 8.84977i | −0.466328 | − | 0.299691i | ||||
\(873\) | −2.88823 | −0.0977517 | ||||||||
\(874\) | 16.9967 | − | 0.988322i | 0.574921 | − | 0.0334305i | ||||
\(875\) | −2.68765 | −0.0908593 | ||||||||
\(876\) | 7.91982 | + | 5.08976i | 0.267586 | + | 0.171967i | ||||
\(877\) | −1.20492 | − | 8.38042i | −0.0406874 | − | 0.282987i | −1.00000 | 0.000640086i | \(-0.999796\pi\) | |
0.959312 | − | 0.282347i | \(-0.0911128\pi\) | |||||||
\(878\) | 9.87580 | + | 21.6250i | 0.333292 | + | 0.729808i | ||||
\(879\) | −22.3837 | − | 6.57244i | −0.754982 | − | 0.221683i | ||||
\(880\) | 0.977844 | − | 2.14118i | 0.0329631 | − | 0.0721791i | ||||
\(881\) | 12.0572 | − | 13.9147i | 0.406216 | − | 0.468798i | −0.515373 | − | 0.856966i | \(-0.672347\pi\) |
0.921589 | + | 0.388168i | \(0.126892\pi\) | |||||||
\(882\) | −0.0318055 | + | 0.221212i | −0.00107095 | + | 0.00744859i | ||||
\(883\) | 25.9972 | − | 7.63345i | 0.874874 | − | 0.256886i | 0.186687 | − | 0.982419i | \(-0.440225\pi\) |
0.688187 | + | 0.725533i | \(0.258407\pi\) | |||||||
\(884\) | −6.44805 | − | 7.44144i | −0.216871 | − | 0.250283i | ||||
\(885\) | 1.19148 | − | 0.765715i | 0.0400510 | − | 0.0257392i | ||||
\(886\) | 4.58455 | − | 2.94631i | 0.154021 | − | 0.0989833i | ||||
\(887\) | 1.44891 | + | 1.67213i | 0.0486495 | + | 0.0561445i | 0.779553 | − | 0.626337i | \(-0.215446\pi\) |
−0.730903 | + | 0.682481i | \(0.760901\pi\) | |||||||
\(888\) | 7.79797 | − | 2.28969i | 0.261683 | − | 0.0768369i | ||||
\(889\) | 7.38272 | − | 51.3479i | 0.247608 | − | 1.72215i | ||||
\(890\) | 7.60573 | − | 8.77748i | 0.254945 | − | 0.294222i | ||||
\(891\) | 0.977844 | − | 2.14118i | 0.0327590 | − | 0.0717322i | ||||
\(892\) | −10.7144 | − | 3.14602i | −0.358743 | − | 0.105336i | ||||
\(893\) | −1.89852 | − | 4.15717i | −0.0635314 | − | 0.139114i | ||||
\(894\) | −1.78055 | − | 12.3840i | −0.0595506 | − | 0.414184i | ||||
\(895\) | 7.29310 | + | 4.68699i | 0.243781 | + | 0.156669i | ||||
\(896\) | −2.68765 | −0.0897882 | ||||||||
\(897\) | 8.68729 | + | 4.89492i | 0.290060 | + | 0.163436i | ||||
\(898\) | 0.502197 | 0.0167585 | ||||||||
\(899\) | 10.7495 | + | 6.90826i | 0.358515 | + | 0.230403i | ||||
\(900\) | −0.142315 | − | 0.989821i | −0.00474383 | − | 0.0329940i | ||||
\(901\) | 7.72746 | + | 16.9208i | 0.257439 | + | 0.563713i | ||||
\(902\) | −2.15235 | − | 0.631986i | −0.0716653 | − | 0.0210428i | ||||
\(903\) | 4.01796 | − | 8.79810i | 0.133709 | − | 0.292782i | ||||
\(904\) | 5.09461 | − | 5.87950i | 0.169444 | − | 0.195549i | ||||
\(905\) | 1.94605 | − | 13.5351i | 0.0646890 | − | 0.449922i | ||||
\(906\) | −0.325028 | + | 0.0954367i | −0.0107983 | + | 0.00317067i | ||||
\(907\) | −4.86203 | − | 5.61109i | −0.161441 | − | 0.186313i | 0.669266 | − | 0.743023i | \(-0.266609\pi\) |
−0.830707 | + | 0.556710i | \(0.812063\pi\) | |||||||
\(908\) | −21.3055 | + | 13.6922i | −0.707048 | + | 0.454392i | ||||
\(909\) | 5.70885 | − | 3.66885i | 0.189350 | − | 0.121688i | ||||
\(910\) | 3.65945 | + | 4.22323i | 0.121310 | + | 0.139999i | ||||
\(911\) | 32.8257 | − | 9.63850i | 1.08756 | − | 0.319338i | 0.311663 | − | 0.950193i | \(-0.399114\pi\) |
0.775901 | + | 0.630855i | \(0.217296\pi\) | |||||||
\(912\) | −0.505223 | + | 3.51390i | −0.0167296 | + | 0.116357i | ||||
\(913\) | −9.92982 | + | 11.4596i | −0.328629 | + | 0.379258i | ||||
\(914\) | −0.684464 | + | 1.49877i | −0.0226400 | + | 0.0495748i | ||||
\(915\) | −2.42445 | − | 0.711883i | −0.0801499 | − | 0.0235341i | ||||
\(916\) | −9.48432 | − | 20.7678i | −0.313371 | − | 0.686186i | ||||
\(917\) | 6.24019 | + | 43.4015i | 0.206069 | + | 1.43324i | ||||
\(918\) | 3.98394 | + | 2.56032i | 0.131490 | + | 0.0845033i | ||||
\(919\) | 39.7353 | 1.31075 | 0.655374 | − | 0.755304i | \(-0.272511\pi\) | ||||
0.655374 | + | 0.755304i | \(0.272511\pi\) | |||||||
\(920\) | −4.67224 | − | 1.08174i | −0.154039 | − | 0.0356640i | ||||
\(921\) | −4.17847 | −0.137685 | ||||||||
\(922\) | 31.5167 | + | 20.2545i | 1.03795 | + | 0.667048i | ||||
\(923\) | −0.162240 | − | 1.12840i | −0.00534019 | − | 0.0371418i | ||||
\(924\) | −2.62811 | − | 5.75475i | −0.0864583 | − | 0.189317i | ||||
\(925\) | 7.79797 | + | 2.28969i | 0.256396 | + | 0.0752845i | ||||
\(926\) | 5.92013 | − | 12.9633i | 0.194547 | − | 0.425999i | ||||
\(927\) | 3.53288 | − | 4.07716i | 0.116035 | − | 0.133911i | ||||
\(928\) | −0.922556 | + | 6.41652i | −0.0302844 | + | 0.210633i | ||||
\(929\) | −24.8365 | + | 7.29264i | −0.814858 | + | 0.239264i | −0.662500 | − | 0.749062i | \(-0.730505\pi\) |
−0.152357 | + | 0.988325i | \(0.548686\pi\) | |||||||
\(930\) | −1.29082 | − | 1.48969i | −0.0423277 | − | 0.0488488i | ||||
\(931\) | 0.667439 | − | 0.428937i | 0.0218744 | − | 0.0140578i | ||||
\(932\) | 19.4787 | − | 12.5182i | 0.638045 | − | 0.410046i | ||||
\(933\) | −6.68867 | − | 7.71913i | −0.218977 | − | 0.252713i | ||||
\(934\) | −19.8639 | + | 5.83256i | −0.649966 | + | 0.190847i | ||||
\(935\) | −1.58644 | + | 11.0339i | −0.0518821 | + | 0.360848i | ||||
\(936\) | −1.36158 | + | 1.57134i | −0.0445045 | + | 0.0513610i | ||||
\(937\) | −4.22364 | + | 9.24849i | −0.137980 | + | 0.302135i | −0.965990 | − | 0.258579i | \(-0.916746\pi\) |
0.828010 | + | 0.560714i | \(0.189473\pi\) | |||||||
\(938\) | −13.1754 | − | 3.86864i | −0.430192 | − | 0.126316i | ||||
\(939\) | −5.69503 | − | 12.4704i | −0.185850 | − | 0.406955i | ||||
\(940\) | 0.183210 | + | 1.27425i | 0.00597565 | + | 0.0415616i | ||||
\(941\) | −26.9922 | − | 17.3468i | −0.879920 | − | 0.565490i | 0.0208522 | − | 0.999783i | \(-0.493362\pi\) |
−0.900772 | + | 0.434293i | \(0.856998\pi\) | |||||||
\(942\) | 20.3509 | 0.663068 | ||||||||
\(943\) | −0.386722 | + | 4.55393i | −0.0125934 | + | 0.148296i | ||||
\(944\) | 1.41631 | 0.0460970 | ||||||||
\(945\) | −2.26100 | − | 1.45306i | −0.0735503 | − | 0.0472679i | ||||
\(946\) | 1.20556 | + | 8.38482i | 0.0391960 | + | 0.272614i | ||||
\(947\) | 1.06715 | + | 2.33673i | 0.0346776 | + | 0.0759334i | 0.926178 | − | 0.377086i | \(-0.123074\pi\) |
−0.891500 | + | 0.453020i | \(0.850347\pi\) | |||||||
\(948\) | 0.813640 | + | 0.238906i | 0.0264258 | + | 0.00775932i | ||||
\(949\) | 8.13137 | − | 17.8052i | 0.263956 | − | 0.577982i | ||||
\(950\) | −2.32478 | + | 2.68294i | −0.0754259 | + | 0.0870461i | ||||
\(951\) | 3.05837 | − | 21.2715i | 0.0991746 | − | 0.689774i | ||||
\(952\) | 12.2124 | − | 3.58589i | 0.395807 | − | 0.116219i | ||||
\(953\) | −17.9864 | − | 20.7575i | −0.582638 | − | 0.672400i | 0.385532 | − | 0.922695i | \(-0.374018\pi\) |
−0.968170 | + | 0.250294i | \(0.919473\pi\) | |||||||
\(954\) | 3.30442 | − | 2.12362i | 0.106985 | − | 0.0687548i | ||||
\(955\) | 9.69312 | − | 6.22939i | 0.313662 | − | 0.201578i | ||||
\(956\) | −0.275368 | − | 0.317791i | −0.00890602 | − | 0.0102781i | ||||
\(957\) | −14.6410 | + | 4.29899i | −0.473277 | + | 0.138967i | ||||
\(958\) | 2.51615 | − | 17.5002i | 0.0812932 | − | 0.565407i | ||||
\(959\) | 7.45017 | − | 8.59795i | 0.240578 | − | 0.277642i | ||||
\(960\) | 0.415415 | − | 0.909632i | 0.0134075 | − | 0.0293582i | ||||
\(961\) | 26.0163 | + | 7.63907i | 0.839235 | + | 0.246422i | ||||
\(962\) | −7.01964 | − | 15.3709i | −0.226322 | − | 0.495577i | ||||
\(963\) | −0.512436 | − | 3.56407i | −0.0165130 | − | 0.114851i | ||||
\(964\) | 0.857095 | + | 0.550822i | 0.0276052 | + | 0.0177408i | ||||
\(965\) | −2.57820 | −0.0829951 | ||||||||
\(966\) | −10.4206 | + | 7.58632i | −0.335276 | + | 0.244086i | ||||
\(967\) | 27.8476 | 0.895519 | 0.447759 | − | 0.894154i | \(-0.352222\pi\) | ||||
0.447759 | + | 0.894154i | \(0.352222\pi\) | |||||||
\(968\) | −4.59255 | − | 2.95145i | −0.147610 | − | 0.0948633i | ||||
\(969\) | −2.39260 | − | 16.6409i | −0.0768613 | − | 0.534582i | ||||
\(970\) | −1.19981 | − | 2.62723i | −0.0385237 | − | 0.0843551i | ||||
\(971\) | 7.91615 | + | 2.32439i | 0.254041 | + | 0.0745932i | 0.406274 | − | 0.913752i | \(-0.366828\pi\) |
−0.152232 | + | 0.988345i | \(0.548646\pi\) | |||||||
\(972\) | 0.415415 | − | 0.909632i | 0.0133244 | − | 0.0291765i | ||||
\(973\) | −15.9623 | + | 18.4215i | −0.511727 | + | 0.590565i | ||||
\(974\) | 5.53754 | − | 38.5145i | 0.177434 | − | 1.23408i | ||||
\(975\) | −1.99496 | + | 0.585774i | −0.0638900 | + | 0.0187598i | ||||
\(976\) | −1.65471 | − | 1.90963i | −0.0529658 | − | 0.0611258i | ||||
\(977\) | −36.8181 | + | 23.6616i | −1.17792 | + | 0.757000i | −0.975002 | − | 0.222196i | \(-0.928677\pi\) |
−0.202914 | + | 0.979197i | \(0.565041\pi\) | |||||||
\(978\) | 16.9082 | − | 10.8663i | 0.540666 | − | 0.347465i | ||||
\(979\) | 17.9031 | + | 20.6613i | 0.572185 | + | 0.660337i | ||||
\(980\) | −0.214434 | + | 0.0629635i | −0.00684984 | + | 0.00201129i | ||||
\(981\) | 2.32956 | − | 16.2024i | 0.0743770 | − | 0.517303i | ||||
\(982\) | 0.883780 | − | 1.01994i | 0.0282026 | − | 0.0325475i | ||||
\(983\) | −9.81316 | + | 21.4878i | −0.312991 | + | 0.685355i | −0.999112 | − | 0.0421325i | \(-0.986585\pi\) |
0.686121 | + | 0.727488i | \(0.259312\pi\) | |||||||
\(984\) | −0.914376 | − | 0.268485i | −0.0291492 | − | 0.00855899i | ||||
\(985\) | −8.04548 | − | 17.6171i | −0.256350 | − | 0.561329i | ||||
\(986\) | −4.36897 | − | 30.3868i | −0.139136 | − | 0.967714i | ||||
\(987\) | 2.91071 | + | 1.87060i | 0.0926490 | + | 0.0595419i | ||||
\(988\) | 7.38119 | 0.234827 | ||||||||
\(989\) | 16.2496 | − | 5.81550i | 0.516708 | − | 0.184922i | ||||
\(990\) | 2.35390 | 0.0748117 | ||||||||
\(991\) | −25.7828 | − | 16.5696i | −0.819018 | − | 0.526351i | 0.0627530 | − | 0.998029i | \(-0.480012\pi\) |
−0.881771 | + | 0.471678i | \(0.843648\pi\) | |||||||
\(992\) | −0.280522 | − | 1.95108i | −0.00890660 | − | 0.0619468i | ||||
\(993\) | 4.24582 | + | 9.29705i | 0.134737 | + | 0.295033i | ||||
\(994\) | 1.41394 | + | 0.415169i | 0.0448473 | + | 0.0131684i | ||||
\(995\) | −6.87745 | + | 15.0595i | −0.218030 | + | 0.477418i | ||||
\(996\) | −4.21846 | + | 4.86836i | −0.133667 | + | 0.154260i | ||||
\(997\) | 4.78135 | − | 33.2550i | 0.151427 | − | 1.05320i | −0.762404 | − | 0.647101i | \(-0.775981\pi\) |
0.913831 | − | 0.406095i | \(-0.133110\pi\) | |||||||
\(998\) | 7.92261 | − | 2.32629i | 0.250786 | − | 0.0736374i | ||||
\(999\) | 5.32217 | + | 6.14211i | 0.168386 | + | 0.194328i |
(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 | 690.2.m.g.301.3 | ✓ | 30 | |
23.12 | even | 11 | inner | 690.2.m.g.541.3 | yes | 30 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.m.g.301.3 | ✓ | 30 | 1.1 | even | 1 | trivial | |
690.2.m.g.541.3 | yes | 30 | 23.12 | even | 11 | inner |