Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [354,2,Mod(7,354)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(354, base_ring=CyclotomicField(58))
chi = DirichletCharacter(H, H._module([0, 18]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("354.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 354 = 2 \cdot 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 354.e (of order \(29\), degree \(28\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.82670423155\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{29})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{29}]$ |
Embedding invariants
Embedding label | 181.2 | ||
Character | \(\chi\) | \(=\) | 354.181 |
Dual form | 354.2.e.b.133.2 |
$q$-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 \(\left(\mathbb{Z}/354\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(e\left(\frac{1}{29}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.994138 | + | 0.108119i | 0.702962 | + | 0.0764517i | ||||
\(3\) | −0.647386 | + | 0.762162i | −0.373769 | + | 0.440034i | ||||
\(4\) | 0.976621 | + | 0.214970i | 0.488310 | + | 0.107485i | ||||
\(5\) | 2.26091 | + | 1.71870i | 1.01111 | + | 0.768626i | 0.973037 | − | 0.230649i | \(-0.0740848\pi\) |
0.0380733 | + | 0.999275i | \(0.487878\pi\) | |||||||
\(6\) | −0.725995 | + | 0.687699i | −0.296386 | + | 0.280752i | ||||
\(7\) | 0.732533 | − | 1.83852i | 0.276871 | − | 0.694895i | −0.723120 | − | 0.690723i | \(-0.757293\pi\) |
0.999991 | − | 0.00417231i | \(-0.00132809\pi\) | |||||||
\(8\) | 0.947653 | + | 0.319302i | 0.335046 | + | 0.112890i | ||||
\(9\) | −0.161782 | − | 0.986827i | −0.0539273 | − | 0.328942i | ||||
\(10\) | 2.06183 | + | 1.95307i | 0.652009 | + | 0.617616i | ||||
\(11\) | −0.851752 | + | 0.394062i | −0.256813 | + | 0.118814i | −0.544072 | − | 0.839039i | \(-0.683118\pi\) |
0.287259 | + | 0.957853i | \(0.407256\pi\) | |||||||
\(12\) | −0.796093 | + | 0.605174i | −0.229812 | + | 0.174699i | ||||
\(13\) | −0.231097 | + | 1.40963i | −0.0640947 | + | 0.390960i | 0.935224 | + | 0.354056i | \(0.115198\pi\) |
−0.999319 | + | 0.0369041i | \(0.988250\pi\) | |||||||
\(14\) | 0.927018 | − | 1.74854i | 0.247756 | − | 0.467317i | ||||
\(15\) | −2.77361 | + | 0.610518i | −0.716143 | + | 0.157635i | ||||
\(16\) | 0.907575 | + | 0.419889i | 0.226894 | + | 0.104972i | ||||
\(17\) | 1.28555 | + | 3.22650i | 0.311793 | + | 0.782541i | 0.998455 | + | 0.0555644i | \(0.0176958\pi\) |
−0.686662 | + | 0.726977i | \(0.740925\pi\) | |||||||
\(18\) | −0.0541389 | − | 0.998533i | −0.0127607 | − | 0.235357i | ||||
\(19\) | −1.42801 | − | 2.10615i | −0.327608 | − | 0.483185i | 0.627841 | − | 0.778341i | \(-0.283939\pi\) |
−0.955449 | + | 0.295156i | \(0.904628\pi\) | |||||||
\(20\) | 1.83858 | + | 2.16455i | 0.411120 | + | 0.484007i | ||||
\(21\) | 0.927018 | + | 1.74854i | 0.202292 | + | 0.381563i | ||||
\(22\) | −0.889364 | + | 0.299662i | −0.189613 | + | 0.0638881i | ||||
\(23\) | −0.00226748 | + | 0.0418212i | −0.000472802 | + | 0.00872031i | −0.998760 | − | 0.0497782i | \(-0.984149\pi\) |
0.998287 | + | 0.0584985i | \(0.0186313\pi\) | |||||||
\(24\) | −0.856857 | + | 0.515554i | −0.174905 | + | 0.105237i | ||||
\(25\) | 0.820149 | + | 2.95391i | 0.164030 | + | 0.590782i | ||||
\(26\) | −0.382150 | + | 1.37638i | −0.0749457 | + | 0.269930i | ||||
\(27\) | 0.856857 | + | 0.515554i | 0.164902 | + | 0.0992184i | ||||
\(28\) | 1.11063 | − | 1.63806i | 0.209890 | − | 0.309565i | ||||
\(29\) | −1.33370 | + | 0.145049i | −0.247662 | + | 0.0269349i | −0.231108 | − | 0.972928i | \(-0.574235\pi\) |
−0.0165541 | + | 0.999863i | \(0.505270\pi\) | |||||||
\(30\) | −2.82336 | + | 0.307059i | −0.515473 | + | 0.0560610i | ||||
\(31\) | 0.111688 | − | 0.164727i | 0.0200597 | − | 0.0295858i | −0.817527 | − | 0.575890i | \(-0.804656\pi\) |
0.837587 | + | 0.546305i | \(0.183966\pi\) | |||||||
\(32\) | 0.856857 | + | 0.515554i | 0.151472 | + | 0.0911379i | ||||
\(33\) | 0.251073 | − | 0.904283i | 0.0437062 | − | 0.157415i | ||||
\(34\) | 0.929173 | + | 3.34658i | 0.159352 | + | 0.573933i | ||||
\(35\) | 4.81606 | − | 2.89772i | 0.814062 | − | 0.489805i | ||||
\(36\) | 0.0541389 | − | 0.998533i | 0.00902315 | − | 0.166422i | ||||
\(37\) | −0.998385 | + | 0.336395i | −0.164134 | + | 0.0553030i | −0.400169 | − | 0.916441i | \(-0.631048\pi\) |
0.236035 | + | 0.971745i | \(0.424152\pi\) | |||||||
\(38\) | −1.19192 | − | 2.24820i | −0.193355 | − | 0.364707i | ||||
\(39\) | −0.924756 | − | 1.08871i | −0.148079 | − | 0.174333i | ||||
\(40\) | 1.59378 | + | 2.35064i | 0.251998 | + | 0.371670i | ||||
\(41\) | −0.301750 | − | 5.56545i | −0.0471254 | − | 0.869177i | −0.922563 | − | 0.385846i | \(-0.873910\pi\) |
0.875438 | − | 0.483331i | \(-0.160573\pi\) | |||||||
\(42\) | 0.732533 | + | 1.83852i | 0.113032 | + | 0.283690i | ||||
\(43\) | −9.59255 | − | 4.43798i | −1.46285 | − | 0.676786i | −0.482835 | − | 0.875711i | \(-0.660393\pi\) |
−0.980015 | + | 0.198925i | \(0.936255\pi\) | |||||||
\(44\) | −0.916550 | + | 0.201748i | −0.138175 | + | 0.0304146i | ||||
\(45\) | 1.33028 | − | 2.50918i | 0.198307 | − | 0.374047i | ||||
\(46\) | −0.00677585 | + | 0.0413308i | −0.000999044 | + | 0.00609390i | ||||
\(47\) | 9.31199 | − | 7.07879i | 1.35829 | − | 1.03255i | 0.363398 | − | 0.931634i | \(-0.381616\pi\) |
0.994895 | − | 0.100914i | \(-0.0321766\pi\) | |||||||
\(48\) | −0.907575 | + | 0.419889i | −0.130997 | + | 0.0606058i | ||||
\(49\) | 2.23842 | + | 2.12034i | 0.319774 | + | 0.302906i | ||||
\(50\) | 0.495967 | + | 3.02527i | 0.0701404 | + | 0.427837i | ||||
\(51\) | −3.29137 | − | 1.10899i | −0.460883 | − | 0.155290i | ||||
\(52\) | −0.528722 | + | 1.32699i | −0.0733206 | + | 0.184021i | ||||
\(53\) | 0.306793 | − | 0.290610i | 0.0421413 | − | 0.0399183i | −0.666339 | − | 0.745649i | \(-0.732140\pi\) |
0.708480 | + | 0.705731i | \(0.249381\pi\) | |||||||
\(54\) | 0.796093 | + | 0.605174i | 0.108335 | + | 0.0823538i | ||||
\(55\) | −2.60301 | − | 0.572966i | −0.350990 | − | 0.0772587i | ||||
\(56\) | 1.28123 | − | 1.50838i | 0.171211 | − | 0.201566i | ||||
\(57\) | 2.52970 | + | 0.275122i | 0.335067 | + | 0.0364408i | ||||
\(58\) | −1.34157 | −0.176156 | ||||||||
\(59\) | −1.03750 | − | 7.61076i | −0.135070 | − | 0.990836i | ||||
\(60\) | −2.84001 | −0.366644 | ||||||||
\(61\) | −13.6637 | − | 1.48601i | −1.74945 | − | 0.190264i | −0.823349 | − | 0.567536i | \(-0.807897\pi\) |
−0.926103 | + | 0.377272i | \(0.876862\pi\) | |||||||
\(62\) | 0.128843 | − | 0.151686i | 0.0163631 | − | 0.0192641i | ||||
\(63\) | −1.93281 | − | 0.425444i | −0.243511 | − | 0.0536009i | ||||
\(64\) | 0.796093 | + | 0.605174i | 0.0995116 | + | 0.0756468i | ||||
\(65\) | −2.94522 | + | 2.78986i | −0.365309 | + | 0.346039i | ||||
\(66\) | 0.347371 | − | 0.871836i | 0.0427585 | − | 0.107316i | ||||
\(67\) | −6.67462 | − | 2.24894i | −0.815434 | − | 0.274752i | −0.119479 | − | 0.992837i | \(-0.538122\pi\) |
−0.695955 | + | 0.718085i | \(0.745019\pi\) | |||||||
\(68\) | 0.561897 | + | 3.42742i | 0.0681401 | + | 0.415636i | ||||
\(69\) | −0.0304066 | − | 0.0288026i | −0.00366052 | − | 0.00346743i | ||||
\(70\) | 5.10112 | − | 2.36003i | 0.609701 | − | 0.282078i | ||||
\(71\) | −1.51990 | + | 1.15540i | −0.180379 | + | 0.137120i | −0.691467 | − | 0.722408i | \(-0.743035\pi\) |
0.511089 | + | 0.859528i | \(0.329242\pi\) | |||||||
\(72\) | 0.161782 | − | 0.986827i | 0.0190662 | − | 0.116299i | ||||
\(73\) | 1.58810 | − | 2.99547i | 0.185873 | − | 0.350593i | −0.773011 | − | 0.634393i | \(-0.781250\pi\) |
0.958884 | + | 0.283800i | \(0.0915951\pi\) | |||||||
\(74\) | −1.02890 | + | 0.226479i | −0.119608 | + | 0.0263276i | ||||
\(75\) | −2.78231 | − | 1.28723i | −0.321274 | − | 0.148637i | ||||
\(76\) | −0.941861 | − | 2.36389i | −0.108039 | − | 0.271157i | ||||
\(77\) | 0.100555 | + | 1.85462i | 0.0114593 | + | 0.211354i | ||||
\(78\) | −0.801625 | − | 1.18231i | −0.0907662 | − | 0.133870i | ||||
\(79\) | −5.50046 | − | 6.47565i | −0.618850 | − | 0.728567i | 0.360044 | − | 0.932935i | \(-0.382762\pi\) |
−0.978894 | + | 0.204368i | \(0.934486\pi\) | |||||||
\(80\) | 1.33028 | + | 2.50918i | 0.148730 | + | 0.280535i | ||||
\(81\) | −0.947653 | + | 0.319302i | −0.105295 | + | 0.0354779i | ||||
\(82\) | 0.301750 | − | 5.56545i | 0.0333227 | − | 0.614601i | ||||
\(83\) | −7.30565 | + | 4.39566i | −0.801899 | + | 0.482487i | −0.856578 | − | 0.516017i | \(-0.827414\pi\) |
0.0546792 | + | 0.998504i | \(0.482586\pi\) | |||||||
\(84\) | 0.529460 | + | 1.90694i | 0.0577688 | + | 0.208064i | ||||
\(85\) | −2.63886 | + | 9.50431i | −0.286224 | + | 1.03089i | ||||
\(86\) | −9.05648 | − | 5.44911i | −0.976586 | − | 0.587592i | ||||
\(87\) | 0.752869 | − | 1.11040i | 0.0807161 | − | 0.119047i | ||||
\(88\) | −0.932990 | + | 0.101469i | −0.0994570 | + | 0.0108166i | ||||
\(89\) | 9.79726 | − | 1.06552i | 1.03851 | − | 0.112944i | 0.427055 | − | 0.904226i | \(-0.359551\pi\) |
0.611452 | + | 0.791281i | \(0.290586\pi\) | |||||||
\(90\) | 1.59378 | − | 2.35064i | 0.167999 | − | 0.247780i | ||||
\(91\) | 2.42234 | + | 1.45747i | 0.253930 | + | 0.152785i | ||||
\(92\) | −0.0112048 | + | 0.0403560i | −0.00116818 | + | 0.00420740i | ||||
\(93\) | 0.0532435 | + | 0.191766i | 0.00552110 | + | 0.0198852i | ||||
\(94\) | 10.0228 | − | 6.03049i | 1.03377 | − | 0.621998i | ||||
\(95\) | 0.391248 | − | 7.21615i | 0.0401412 | − | 0.740361i | ||||
\(96\) | −0.947653 | + | 0.319302i | −0.0967194 | + | 0.0325886i | ||||
\(97\) | −4.74983 | − | 8.95913i | −0.482272 | − | 0.909662i | −0.998581 | − | 0.0532595i | \(-0.983039\pi\) |
0.516308 | − | 0.856403i | \(-0.327306\pi\) | |||||||
\(98\) | 1.99605 | + | 2.34993i | 0.201631 | + | 0.237379i | ||||
\(99\) | 0.526669 | + | 0.776779i | 0.0529322 | + | 0.0780692i | ||||
\(100\) | 0.165971 | + | 3.06116i | 0.0165971 | + | 0.306116i | ||||
\(101\) | 6.61726 | + | 16.6081i | 0.658442 | + | 1.65257i | 0.753785 | + | 0.657121i | \(0.228226\pi\) |
−0.0953424 | + | 0.995445i | \(0.530395\pi\) | |||||||
\(102\) | −3.15217 | − | 1.45835i | −0.312111 | − | 0.144398i | ||||
\(103\) | 8.11077 | − | 1.78532i | 0.799178 | − | 0.175912i | 0.203436 | − | 0.979088i | \(-0.434789\pi\) |
0.595742 | + | 0.803176i | \(0.296858\pi\) | |||||||
\(104\) | −0.669096 | + | 1.26205i | −0.0656103 | + | 0.123754i | ||||
\(105\) | −0.909313 | + | 5.54656i | −0.0887398 | + | 0.541289i | ||||
\(106\) | 0.336415 | − | 0.255736i | 0.0326755 | − | 0.0248393i | ||||
\(107\) | 12.1029 | − | 5.59939i | 1.17003 | − | 0.541314i | 0.263999 | − | 0.964523i | \(-0.414959\pi\) |
0.906032 | + | 0.423209i | \(0.139097\pi\) | |||||||
\(108\) | 0.725995 | + | 0.687699i | 0.0698589 | + | 0.0661739i | ||||
\(109\) | 1.16821 | + | 7.12577i | 0.111894 | + | 0.682525i | 0.981888 | + | 0.189462i | \(0.0606744\pi\) |
−0.869994 | + | 0.493063i | \(0.835877\pi\) | |||||||
\(110\) | −2.52580 | − | 0.851042i | −0.240826 | − | 0.0811437i | ||||
\(111\) | 0.389953 | − | 0.978709i | 0.0370127 | − | 0.0928950i | ||||
\(112\) | 1.43680 | − | 1.36101i | 0.135765 | − | 0.128604i | ||||
\(113\) | 2.94847 | + | 2.24137i | 0.277368 | + | 0.210850i | 0.734605 | − | 0.678495i | \(-0.237368\pi\) |
−0.457236 | + | 0.889345i | \(0.651161\pi\) | |||||||
\(114\) | 2.48513 | + | 0.547018i | 0.232754 | + | 0.0512329i | ||||
\(115\) | −0.0770046 | + | 0.0906568i | −0.00718072 | + | 0.00845379i | ||||
\(116\) | −1.33370 | − | 0.145049i | −0.123831 | − | 0.0134674i | ||||
\(117\) | 1.42845 | 0.132060 | ||||||||
\(118\) | −0.208547 | − | 7.67831i | −0.0191983 | − | 0.706846i | ||||
\(119\) | 6.87369 | 0.630110 | ||||||||
\(120\) | −2.82336 | − | 0.307059i | −0.257736 | − | 0.0280305i | ||||
\(121\) | −6.55105 | + | 7.71250i | −0.595550 | + | 0.701136i | ||||
\(122\) | −13.4229 | − | 2.95460i | −1.21525 | − | 0.267497i | ||||
\(123\) | 4.43712 | + | 3.37301i | 0.400082 | + | 0.304134i | ||||
\(124\) | 0.144488 | − | 0.136866i | 0.0129754 | − | 0.0122909i | ||||
\(125\) | 2.03338 | − | 5.10339i | 0.181871 | − | 0.456462i | ||||
\(126\) | −1.87548 | − | 0.631923i | −0.167081 | − | 0.0562962i | ||||
\(127\) | 3.19724 | + | 19.5023i | 0.283709 | + | 1.73055i | 0.616328 | + | 0.787490i | \(0.288620\pi\) |
−0.332618 | + | 0.943062i | \(0.607932\pi\) | |||||||
\(128\) | 0.725995 | + | 0.687699i | 0.0641695 | + | 0.0607846i | ||||
\(129\) | 9.59255 | − | 4.43798i | 0.844577 | − | 0.390743i | ||||
\(130\) | −3.22959 | + | 2.45507i | −0.283254 | + | 0.215324i | ||||
\(131\) | −1.41898 | + | 8.65540i | −0.123977 | + | 0.756226i | 0.849525 | + | 0.527548i | \(0.176889\pi\) |
−0.973502 | + | 0.228678i | \(0.926560\pi\) | |||||||
\(132\) | 0.439597 | − | 0.829168i | 0.0382620 | − | 0.0721698i | ||||
\(133\) | −4.91827 | + | 1.08259i | −0.426468 | + | 0.0938727i | ||||
\(134\) | −6.39234 | − | 2.95741i | −0.552214 | − | 0.255481i | ||||
\(135\) | 1.05120 | + | 2.63830i | 0.0904725 | + | 0.227069i | ||||
\(136\) | 0.188034 | + | 3.46808i | 0.0161238 | + | 0.297386i | ||||
\(137\) | −2.30874 | − | 3.40513i | −0.197249 | − | 0.290920i | 0.716183 | − | 0.697913i | \(-0.245888\pi\) |
−0.913431 | + | 0.406993i | \(0.866577\pi\) | |||||||
\(138\) | −0.0271142 | − | 0.0319213i | −0.00230811 | − | 0.00271732i | ||||
\(139\) | 2.16241 | + | 4.07875i | 0.183414 | + | 0.345955i | 0.958120 | − | 0.286366i | \(-0.0924473\pi\) |
−0.774707 | + | 0.632321i | \(0.782102\pi\) | |||||||
\(140\) | 5.32638 | − | 1.79467i | 0.450162 | − | 0.151677i | ||||
\(141\) | −0.633269 | + | 11.6800i | −0.0533309 | + | 0.983630i | ||||
\(142\) | −1.63591 | + | 0.984294i | −0.137282 | + | 0.0826001i | ||||
\(143\) | −0.358644 | − | 1.29172i | −0.0299913 | − | 0.108019i | ||||
\(144\) | 0.267528 | − | 0.963550i | 0.0222940 | − | 0.0802958i | ||||
\(145\) | −3.26468 | − | 1.96429i | −0.271117 | − | 0.163125i | ||||
\(146\) | 1.90265 | − | 2.80620i | 0.157465 | − | 0.232243i | ||||
\(147\) | −3.06517 | + | 0.333357i | −0.252811 | + | 0.0274948i | ||||
\(148\) | −1.04736 | + | 0.113907i | −0.0860924 | + | 0.00936311i | ||||
\(149\) | −2.71611 | + | 4.00596i | −0.222512 | + | 0.328181i | −0.922517 | − | 0.385958i | \(-0.873871\pi\) |
0.700004 | + | 0.714139i | \(0.253181\pi\) | |||||||
\(150\) | −2.62683 | − | 1.58051i | −0.214479 | − | 0.129048i | ||||
\(151\) | 3.02266 | − | 10.8866i | 0.245980 | − | 0.885941i | −0.732700 | − | 0.680552i | \(-0.761740\pi\) |
0.978680 | − | 0.205390i | \(-0.0658461\pi\) | |||||||
\(152\) | −0.680758 | − | 2.45187i | −0.0552168 | − | 0.198873i | ||||
\(153\) | 2.97602 | − | 1.79061i | 0.240597 | − | 0.144762i | ||||
\(154\) | −0.100555 | + | 1.85462i | −0.00810294 | + | 0.149450i | ||||
\(155\) | 0.535632 | − | 0.180475i | 0.0430230 | − | 0.0144961i | ||||
\(156\) | −0.669096 | − | 1.26205i | −0.0535706 | − | 0.101045i | ||||
\(157\) | −5.55379 | − | 6.53843i | −0.443241 | − | 0.521823i | 0.494491 | − | 0.869183i | \(-0.335354\pi\) |
−0.937732 | + | 0.347359i | \(0.887078\pi\) | |||||||
\(158\) | −4.76808 | − | 7.03239i | −0.379328 | − | 0.559467i | ||||
\(159\) | 0.0228782 | + | 0.421963i | 0.00181436 | + | 0.0334638i | ||||
\(160\) | 1.05120 | + | 2.63830i | 0.0831043 | + | 0.208576i | ||||
\(161\) | 0.0752280 | + | 0.0348042i | 0.00592880 | + | 0.00274295i | ||||
\(162\) | −0.976621 | + | 0.214970i | −0.0767306 | + | 0.0168897i | ||||
\(163\) | 2.07646 | − | 3.91661i | 0.162641 | − | 0.306773i | −0.788775 | − | 0.614682i | \(-0.789284\pi\) |
0.951416 | + | 0.307909i | \(0.0996292\pi\) | |||||||
\(164\) | 0.901711 | − | 5.50020i | 0.0704118 | − | 0.429493i | ||||
\(165\) | 2.12185 | − | 1.61299i | 0.165185 | − | 0.125571i | ||||
\(166\) | −7.73808 | + | 3.58002i | −0.600591 | + | 0.277863i | ||||
\(167\) | 3.77531 | + | 3.57616i | 0.292142 | + | 0.276732i | 0.819707 | − | 0.572783i | \(-0.194136\pi\) |
−0.527565 | + | 0.849515i | \(0.676895\pi\) | |||||||
\(168\) | 0.320179 | + | 1.95301i | 0.0247024 | + | 0.150678i | ||||
\(169\) | 10.3858 | + | 3.49940i | 0.798911 | + | 0.269185i | ||||
\(170\) | −3.65099 | + | 9.16329i | −0.280018 | + | 0.702792i | ||||
\(171\) | −1.84738 | + | 1.74993i | −0.141273 | + | 0.133821i | ||||
\(172\) | −8.41424 | − | 6.39634i | −0.641580 | − | 0.487716i | ||||
\(173\) | −1.13162 | − | 0.249088i | −0.0860354 | − | 0.0189378i | 0.171744 | − | 0.985142i | \(-0.445060\pi\) |
−0.257780 | + | 0.966204i | \(0.582991\pi\) | |||||||
\(174\) | 0.868511 | − | 1.02249i | 0.0658417 | − | 0.0775148i | ||||
\(175\) | 6.03160 | + | 0.655976i | 0.455946 | + | 0.0495872i | ||||
\(176\) | −0.938491 | −0.0707414 | ||||||||
\(177\) | 6.47229 | + | 4.13636i | 0.486487 | + | 0.310908i | ||||
\(178\) | 9.85503 | 0.738666 | ||||||||
\(179\) | −15.7771 | − | 1.71586i | −1.17923 | − | 0.128249i | −0.502567 | − | 0.864538i | \(-0.667611\pi\) |
−0.676667 | + | 0.736289i | \(0.736577\pi\) | |||||||
\(180\) | 1.83858 | − | 2.16455i | 0.137040 | − | 0.161336i | ||||
\(181\) | −2.22813 | − | 0.490449i | −0.165616 | − | 0.0364548i | 0.131388 | − | 0.991331i | \(-0.458057\pi\) |
−0.297004 | + | 0.954876i | \(0.595988\pi\) | |||||||
\(182\) | 2.25056 | + | 1.71083i | 0.166823 | + | 0.126815i | ||||
\(183\) | 9.97824 | − | 9.45189i | 0.737613 | − | 0.698704i | ||||
\(184\) | −0.0155023 | + | 0.0389079i | −0.00114285 | + | 0.00286833i | ||||
\(185\) | −2.83542 | − | 0.955365i | −0.208464 | − | 0.0702399i | ||||
\(186\) | 0.0321979 | + | 0.196398i | 0.00236086 | + | 0.0144006i | ||||
\(187\) | −2.36641 | − | 2.24159i | −0.173049 | − | 0.163921i | ||||
\(188\) | 10.6160 | − | 4.91149i | 0.774252 | − | 0.358207i | ||||
\(189\) | 1.57553 | − | 1.19769i | 0.114603 | − | 0.0871190i | ||||
\(190\) | 1.16916 | − | 7.13154i | 0.0848196 | − | 0.517377i | ||||
\(191\) | −6.60424 | + | 12.4569i | −0.477866 | + | 0.901351i | 0.520991 | + | 0.853562i | \(0.325562\pi\) |
−0.998857 | + | 0.0477894i | \(0.984782\pi\) | |||||||
\(192\) | −0.976621 | + | 0.214970i | −0.0704815 | + | 0.0155142i | ||||
\(193\) | 2.05065 | + | 0.948733i | 0.147609 | + | 0.0682913i | 0.492303 | − | 0.870424i | \(-0.336155\pi\) |
−0.344694 | + | 0.938715i | \(0.612017\pi\) | |||||||
\(194\) | −3.75334 | − | 9.42016i | −0.269474 | − | 0.676328i | ||||
\(195\) | −0.219631 | − | 4.05085i | −0.0157281 | − | 0.290087i | ||||
\(196\) | 1.73028 | + | 2.55197i | 0.123591 | + | 0.182283i | ||||
\(197\) | 11.3860 | + | 13.4046i | 0.811219 | + | 0.955041i | 0.999634 | − | 0.0270482i | \(-0.00861075\pi\) |
−0.188415 | + | 0.982090i | \(0.560335\pi\) | |||||||
\(198\) | 0.439597 | + | 0.829168i | 0.0312408 | + | 0.0589264i | ||||
\(199\) | −6.48964 | + | 2.18661i | −0.460038 | + | 0.155005i | −0.539772 | − | 0.841811i | \(-0.681490\pi\) |
0.0797337 | + | 0.996816i | \(0.474593\pi\) | |||||||
\(200\) | −0.165971 | + | 3.06116i | −0.0117359 | + | 0.216456i | ||||
\(201\) | 6.03511 | − | 3.63121i | 0.425684 | − | 0.256126i | ||||
\(202\) | 4.78282 | + | 17.2262i | 0.336518 | + | 1.21203i | ||||
\(203\) | −0.710305 | + | 2.55829i | −0.0498537 | + | 0.179557i | ||||
\(204\) | −2.97602 | − | 1.79061i | −0.208363 | − | 0.125368i | ||||
\(205\) | 8.88310 | − | 13.1016i | 0.620423 | − | 0.915055i | ||||
\(206\) | 8.25625 | − | 0.897921i | 0.575240 | − | 0.0625611i | ||||
\(207\) | 0.0416371 | − | 0.00452830i | 0.00289398 | − | 0.000314739i | ||||
\(208\) | −0.801625 | + | 1.18231i | −0.0555827 | + | 0.0819784i | ||||
\(209\) | 2.04626 | + | 1.23120i | 0.141543 | + | 0.0851636i | ||||
\(210\) | −1.50367 | + | 5.41573i | −0.103763 | + | 0.373721i | ||||
\(211\) | 5.78092 | + | 20.8210i | 0.397975 | + | 1.43338i | 0.843027 | + | 0.537872i | \(0.180771\pi\) |
−0.445052 | + | 0.895505i | \(0.646815\pi\) | |||||||
\(212\) | 0.362093 | − | 0.217864i | 0.0248686 | − | 0.0149630i | ||||
\(213\) | 0.103362 | − | 1.90640i | 0.00708223 | − | 0.130624i | ||||
\(214\) | 12.6373 | − | 4.25802i | 0.863871 | − | 0.291072i | ||||
\(215\) | −14.0603 | − | 26.5206i | −0.958907 | − | 1.80869i | ||||
\(216\) | 0.647386 | + | 0.762162i | 0.0440491 | + | 0.0518586i | ||||
\(217\) | −0.221039 | − | 0.326007i | −0.0150051 | − | 0.0221308i | ||||
\(218\) | 0.390931 | + | 7.21030i | 0.0264772 | + | 0.488343i | ||||
\(219\) | 1.25492 | + | 3.14961i | 0.0847996 | + | 0.212831i | ||||
\(220\) | −2.41898 | − | 1.11914i | −0.163088 | − | 0.0754524i | ||||
\(221\) | −4.84525 | + | 1.06652i | −0.325927 | + | 0.0717419i | ||||
\(222\) | 0.493484 | − | 0.930810i | 0.0331205 | − | 0.0624719i | ||||
\(223\) | −0.538796 | + | 3.28651i | −0.0360804 | + | 0.220081i | −0.998712 | − | 0.0507326i | \(-0.983844\pi\) |
0.962632 | + | 0.270813i | \(0.0872927\pi\) | |||||||
\(224\) | 1.57553 | − | 1.19769i | 0.105270 | − | 0.0800239i | ||||
\(225\) | 2.78231 | − | 1.28723i | 0.185487 | − | 0.0858156i | ||||
\(226\) | 2.68885 | + | 2.54701i | 0.178860 | + | 0.169425i | ||||
\(227\) | 1.91339 | + | 11.6712i | 0.126996 | + | 0.774643i | 0.971137 | + | 0.238522i | \(0.0766628\pi\) |
−0.844141 | + | 0.536121i | \(0.819889\pi\) | |||||||
\(228\) | 2.41142 | + | 0.812501i | 0.159700 | + | 0.0538092i | ||||
\(229\) | −1.22227 | + | 3.06767i | −0.0807699 | + | 0.202717i | −0.963816 | − | 0.266570i | \(-0.914110\pi\) |
0.883046 | + | 0.469287i | \(0.155489\pi\) | |||||||
\(230\) | −0.0863549 | + | 0.0817997i | −0.00569408 | + | 0.00539371i | ||||
\(231\) | −1.47862 | − | 1.12402i | −0.0972862 | − | 0.0739551i | ||||
\(232\) | −1.31020 | − | 0.288397i | −0.0860189 | − | 0.0189342i | ||||
\(233\) | −7.28964 | + | 8.58203i | −0.477560 | + | 0.562228i | −0.947205 | − | 0.320628i | \(-0.896106\pi\) |
0.469645 | + | 0.882855i | \(0.344382\pi\) | |||||||
\(234\) | 1.42007 | + | 0.154442i | 0.0928330 | + | 0.0100962i | ||||
\(235\) | 33.2199 | 2.16703 | ||||||||
\(236\) | 0.622848 | − | 7.65585i | 0.0405439 | − | 0.498353i | ||||
\(237\) | 8.49642 | 0.551902 | ||||||||
\(238\) | 6.83340 | + | 0.743177i | 0.442943 | + | 0.0481730i | ||||
\(239\) | −6.28704 | + | 7.40168i | −0.406675 | + | 0.478775i | −0.926929 | − | 0.375237i | \(-0.877561\pi\) |
0.520254 | + | 0.854012i | \(0.325837\pi\) | |||||||
\(240\) | −2.77361 | − | 0.610518i | −0.179036 | − | 0.0394088i | ||||
\(241\) | 19.0250 | + | 14.4624i | 1.22551 | + | 0.931608i | 0.999100 | − | 0.0424239i | \(-0.0135080\pi\) |
0.226410 | + | 0.974032i | \(0.427301\pi\) | |||||||
\(242\) | −7.34652 | + | 6.95899i | −0.472252 | + | 0.447341i | ||||
\(243\) | 0.370138 | − | 0.928977i | 0.0237444 | − | 0.0595939i | ||||
\(244\) | −13.0248 | − | 4.38855i | −0.833824 | − | 0.280948i | ||||
\(245\) | 1.41663 | + | 8.64109i | 0.0905054 | + | 0.552059i | ||||
\(246\) | 4.04642 | + | 3.83298i | 0.257991 | + | 0.244382i | ||||
\(247\) | 3.29890 | − | 1.52623i | 0.209904 | − | 0.0971120i | ||||
\(248\) | 0.158439 | − | 0.120442i | 0.0100609 | − | 0.00764807i | ||||
\(249\) | 1.37937 | − | 8.41378i | 0.0874140 | − | 0.533202i | ||||
\(250\) | 2.57323 | − | 4.85363i | 0.162746 | − | 0.306971i | ||||
\(251\) | −30.1241 | + | 6.63082i | −1.90142 | + | 0.418533i | −0.999899 | − | 0.0142086i | \(-0.995477\pi\) |
−0.901518 | + | 0.432742i | \(0.857546\pi\) | |||||||
\(252\) | −1.79616 | − | 0.830994i | −0.113148 | − | 0.0523477i | ||||
\(253\) | −0.0145488 | − | 0.0365148i | −0.000914676 | − | 0.00229566i | ||||
\(254\) | 1.06993 | + | 19.7337i | 0.0671333 | + | 1.23820i | ||||
\(255\) | −5.53547 | − | 8.16420i | −0.346644 | − | 0.511262i | ||||
\(256\) | 0.647386 | + | 0.762162i | 0.0404616 | + | 0.0476351i | ||||
\(257\) | 1.37945 | + | 2.60191i | 0.0860474 | + | 0.162303i | 0.922801 | − | 0.385277i | \(-0.125894\pi\) |
−0.836754 | + | 0.547580i | \(0.815549\pi\) | |||||||
\(258\) | 10.0161 | − | 3.37483i | 0.623578 | − | 0.210108i | ||||
\(259\) | −0.112881 | + | 2.08197i | −0.00701410 | + | 0.129367i | ||||
\(260\) | −3.47610 | + | 2.09150i | −0.215578 | + | 0.129709i | ||||
\(261\) | 0.358907 | + | 1.29267i | 0.0222158 | + | 0.0800140i | ||||
\(262\) | −2.34648 | + | 8.45124i | −0.144966 | + | 0.522120i | ||||
\(263\) | −9.74362 | − | 5.86254i | −0.600817 | − | 0.361500i | 0.182422 | − | 0.983220i | \(-0.441606\pi\) |
−0.783239 | + | 0.621721i | \(0.786434\pi\) | |||||||
\(264\) | 0.526669 | − | 0.776779i | 0.0324142 | − | 0.0478074i | ||||
\(265\) | 1.19310 | − | 0.129758i | 0.0732917 | − | 0.00797096i | ||||
\(266\) | −5.00649 | + | 0.544488i | −0.306967 | + | 0.0333847i | ||||
\(267\) | −5.53052 | + | 8.15690i | −0.338462 | + | 0.499194i | ||||
\(268\) | −6.03511 | − | 3.63121i | −0.368653 | − | 0.221811i | ||||
\(269\) | 6.05399 | − | 21.8045i | 0.369118 | − | 1.32944i | −0.512989 | − | 0.858395i | \(-0.671462\pi\) |
0.882107 | − | 0.471048i | \(-0.156124\pi\) | |||||||
\(270\) | 0.759783 | + | 2.73649i | 0.0462389 | + | 0.166538i | ||||
\(271\) | −17.1052 | + | 10.2919i | −1.03907 | + | 0.625186i | −0.929511 | − | 0.368794i | \(-0.879771\pi\) |
−0.109557 | + | 0.993981i | \(0.534943\pi\) | |||||||
\(272\) | −0.188034 | + | 3.46808i | −0.0114012 | + | 0.210283i | ||||
\(273\) | −2.67902 | + | 0.902668i | −0.162142 | + | 0.0546319i | ||||
\(274\) | −1.92705 | − | 3.63479i | −0.116417 | − | 0.219586i | ||||
\(275\) | −1.86259 | − | 2.19281i | −0.112318 | − | 0.132231i | ||||
\(276\) | −0.0235040 | − | 0.0346658i | −0.00141477 | − | 0.00208663i | ||||
\(277\) | −1.26536 | − | 23.3383i | −0.0760283 | − | 1.40226i | −0.748989 | − | 0.662582i | \(-0.769461\pi\) |
0.672961 | − | 0.739678i | \(-0.265022\pi\) | |||||||
\(278\) | 1.70875 | + | 4.28864i | 0.102484 | + | 0.257215i | ||||
\(279\) | −0.180626 | − | 0.0835664i | −0.0108138 | − | 0.00500299i | ||||
\(280\) | 5.48920 | − | 1.20826i | 0.328042 | − | 0.0722076i | ||||
\(281\) | −12.7201 | + | 23.9926i | −0.758817 | + | 1.43128i | 0.138715 | + | 0.990332i | \(0.455703\pi\) |
−0.897532 | + | 0.440949i | \(0.854642\pi\) | |||||||
\(282\) | −1.89238 | + | 11.5430i | −0.112690 | + | 0.687377i | ||||
\(283\) | 10.2947 | − | 7.82584i | 0.611957 | − | 0.465198i | −0.252710 | − | 0.967542i | \(-0.581322\pi\) |
0.864668 | + | 0.502344i | \(0.167529\pi\) | |||||||
\(284\) | −1.73274 | + | 0.801651i | −0.102819 | + | 0.0475692i | ||||
\(285\) | 5.24658 | + | 4.96983i | 0.310781 | + | 0.294387i | ||||
\(286\) | −0.216882 | − | 1.32292i | −0.0128245 | − | 0.0782261i | ||||
\(287\) | −10.4532 | − | 3.52210i | −0.617034 | − | 0.207903i | ||||
\(288\) | 0.370138 | − | 0.928977i | 0.0218106 | − | 0.0547405i | ||||
\(289\) | 3.58428 | − | 3.39521i | 0.210840 | − | 0.199718i | ||||
\(290\) | −3.03316 | − | 2.30575i | −0.178113 | − | 0.135398i | ||||
\(291\) | 9.90329 | + | 2.17988i | 0.580541 | + | 0.127787i | ||||
\(292\) | 2.19490 | − | 2.58404i | 0.128447 | − | 0.151220i | ||||
\(293\) | 33.6736 | + | 3.66223i | 1.96723 | + | 0.213950i | 0.999305 | − | 0.0372768i | \(-0.0118683\pi\) |
0.967928 | + | 0.251226i | \(0.0808338\pi\) | |||||||
\(294\) | −3.08324 | −0.179818 | ||||||||
\(295\) | 10.7349 | − | 18.9904i | 0.625011 | − | 1.10566i | ||||
\(296\) | −1.05353 | −0.0612355 | ||||||||
\(297\) | −0.932990 | − | 0.101469i | −0.0541376 | − | 0.00588781i | ||||
\(298\) | −3.13331 | + | 3.68882i | −0.181508 | + | 0.213687i | ||||
\(299\) | −0.0584283 | − | 0.0128610i | −0.00337899 | − | 0.000743773i | ||||
\(300\) | −2.44054 | − | 1.85525i | −0.140905 | − | 0.107113i | ||||
\(301\) | −15.1862 | + | 14.3851i | −0.875316 | + | 0.829144i | ||||
\(302\) | 4.18199 | − | 10.4960i | 0.240647 | − | 0.603977i | ||||
\(303\) | −16.9420 | − | 5.70842i | −0.973291 | − | 0.327940i | ||||
\(304\) | −0.411674 | − | 2.51110i | −0.0236111 | − | 0.144021i | ||||
\(305\) | −28.3383 | − | 26.8435i | −1.62265 | − | 1.53705i | ||||
\(306\) | 3.15217 | − | 1.45835i | 0.180197 | − | 0.0833682i | ||||
\(307\) | 20.6267 | − | 15.6800i | 1.17723 | − | 0.894908i | 0.181159 | − | 0.983454i | \(-0.442015\pi\) |
0.996072 | + | 0.0885463i | \(0.0282221\pi\) | |||||||
\(308\) | −0.300486 | + | 1.83288i | −0.0171218 | + | 0.104438i | ||||
\(309\) | −3.89010 | + | 7.33751i | −0.221300 | + | 0.417416i | ||||
\(310\) | 0.552005 | − | 0.121505i | 0.0313517 | − | 0.00690104i | ||||
\(311\) | −18.9561 | − | 8.77002i | −1.07490 | − | 0.497302i | −0.199103 | − | 0.979979i | \(-0.563803\pi\) |
−0.875799 | + | 0.482676i | \(0.839665\pi\) | |||||||
\(312\) | −0.528722 | − | 1.32699i | −0.0299330 | − | 0.0751262i | ||||
\(313\) | −1.05900 | − | 19.5322i | −0.0598585 | − | 1.10402i | −0.862006 | − | 0.506898i | \(-0.830792\pi\) |
0.802147 | − | 0.597126i | \(-0.203691\pi\) | |||||||
\(314\) | −4.81431 | − | 7.10057i | −0.271687 | − | 0.400708i | ||||
\(315\) | −3.63870 | − | 4.28381i | −0.205018 | − | 0.241365i | ||||
\(316\) | −3.97979 | − | 7.50669i | −0.223881 | − | 0.422284i | ||||
\(317\) | 5.15215 | − | 1.73596i | 0.289374 | − | 0.0975013i | −0.170871 | − | 0.985293i | \(-0.554658\pi\) |
0.460245 | + | 0.887792i | \(0.347762\pi\) | |||||||
\(318\) | −0.0228782 | + | 0.421963i | −0.00128294 | + | 0.0236625i | ||||
\(319\) | 1.07882 | − | 0.649107i | 0.0604025 | − | 0.0363430i | ||||
\(320\) | 0.759783 | + | 2.73649i | 0.0424732 | + | 0.152974i | ||||
\(321\) | −3.56760 | + | 12.8493i | −0.199124 | + | 0.717180i | ||||
\(322\) | 0.0710240 | + | 0.0427337i | 0.00395801 | + | 0.00238146i | ||||
\(323\) | 4.95972 | − | 7.31504i | 0.275966 | − | 0.407020i | ||||
\(324\) | −0.994138 | + | 0.108119i | −0.0552299 | + | 0.00600661i | ||||
\(325\) | −4.35345 | + | 0.473466i | −0.241486 | + | 0.0262632i | ||||
\(326\) | 2.48775 | − | 3.66915i | 0.137783 | − | 0.203215i | ||||
\(327\) | −6.18727 | − | 3.72276i | −0.342157 | − | 0.205869i | ||||
\(328\) | 1.49110 | − | 5.37046i | 0.0823323 | − | 0.296534i | ||||
\(329\) | −6.19315 | − | 22.3057i | −0.341440 | − | 1.22975i | ||||
\(330\) | 2.28380 | − | 1.37412i | 0.125719 | − | 0.0756427i | ||||
\(331\) | −0.708648 | + | 13.0702i | −0.0389508 | + | 0.718405i | 0.912213 | + | 0.409717i | \(0.134373\pi\) |
−0.951163 | + | 0.308688i | \(0.900110\pi\) | |||||||
\(332\) | −8.07978 | + | 2.72240i | −0.443436 | + | 0.149411i | ||||
\(333\) | 0.493484 | + | 0.930810i | 0.0270428 | + | 0.0510081i | ||||
\(334\) | 3.36653 | + | 3.96338i | 0.184208 | + | 0.216867i | ||||
\(335\) | −11.2255 | − | 16.5563i | −0.613313 | − | 0.904568i | ||||
\(336\) | 0.107145 | + | 1.97618i | 0.00584525 | + | 0.107809i | ||||
\(337\) | 4.46132 | + | 11.1971i | 0.243023 | + | 0.609943i | 0.999003 | − | 0.0446530i | \(-0.0142182\pi\) |
−0.755979 | + | 0.654596i | \(0.772839\pi\) | |||||||
\(338\) | 9.94661 | + | 4.60179i | 0.541024 | + | 0.250305i | ||||
\(339\) | −3.61708 | + | 0.796180i | −0.196453 | + | 0.0432426i | ||||
\(340\) | −4.62031 | + | 8.71483i | −0.250572 | + | 0.472628i | ||||
\(341\) | −0.0302174 | + | 0.184318i | −0.00163637 | + | 0.00998139i | ||||
\(342\) | −2.02575 | + | 1.53994i | −0.109540 | + | 0.0832703i | ||||
\(343\) | 18.1112 | − | 8.37911i | 0.977911 | − | 0.452430i | ||||
\(344\) | −7.67335 | − | 7.26858i | −0.413719 | − | 0.391896i | ||||
\(345\) | −0.0192435 | − | 0.117380i | −0.00103603 | − | 0.00631953i | ||||
\(346\) | −1.09805 | − | 0.369978i | −0.0590318 | − | 0.0198901i | ||||
\(347\) | −10.7496 | + | 26.9794i | −0.577067 | + | 1.44833i | 0.293347 | + | 0.956006i | \(0.405231\pi\) |
−0.870413 | + | 0.492322i | \(0.836148\pi\) | |||||||
\(348\) | 0.973971 | − | 0.922594i | 0.0522103 | − | 0.0494562i | ||||
\(349\) | −25.8606 | − | 19.6587i | −1.38429 | − | 1.05231i | −0.991139 | − | 0.132830i | \(-0.957593\pi\) |
−0.393146 | − | 0.919476i | \(-0.628613\pi\) | |||||||
\(350\) | 5.92532 | + | 1.30426i | 0.316722 | + | 0.0697157i | ||||
\(351\) | −0.924756 | + | 1.08871i | −0.0493598 | + | 0.0581109i | ||||
\(352\) | −0.932990 | − | 0.101469i | −0.0497285 | − | 0.00540830i | ||||
\(353\) | 9.82661 | 0.523017 | 0.261509 | − | 0.965201i | \(-0.415780\pi\) | ||||
0.261509 | + | 0.965201i | \(0.415780\pi\) | |||||||
\(354\) | 5.98713 | + | 4.81189i | 0.318212 | + | 0.255749i | ||||
\(355\) | −5.42214 | −0.287777 | ||||||||
\(356\) | 9.79726 | + | 1.06552i | 0.519254 | + | 0.0564722i | ||||
\(357\) | −4.44993 | + | 5.23887i | −0.235515 | + | 0.277270i | ||||
\(358\) | −15.4991 | − | 3.41161i | −0.819152 | − | 0.180309i | ||||
\(359\) | −7.41887 | − | 5.63968i | −0.391553 | − | 0.297651i | 0.390813 | − | 0.920470i | \(-0.372194\pi\) |
−0.782366 | + | 0.622820i | \(0.785987\pi\) | |||||||
\(360\) | 2.06183 | − | 1.95307i | 0.108668 | − | 0.102936i | ||||
\(361\) | 4.63595 | − | 11.6353i | 0.243997 | − | 0.612387i | ||||
\(362\) | −2.16205 | − | 0.728478i | −0.113635 | − | 0.0382879i | ||||
\(363\) | −1.63711 | − | 9.98593i | −0.0859260 | − | 0.524125i | ||||
\(364\) | 2.05239 | + | 1.94413i | 0.107575 | + | 0.101900i | ||||
\(365\) | 8.73886 | − | 4.04303i | 0.457413 | − | 0.211622i | ||||
\(366\) | 10.9417 | − | 8.31765i | 0.571931 | − | 0.434770i | ||||
\(367\) | 4.02355 | − | 24.5426i | 0.210028 | − | 1.28111i | −0.645663 | − | 0.763623i | \(-0.723419\pi\) |
0.855690 | − | 0.517488i | \(-0.173133\pi\) | |||||||
\(368\) | −0.0196182 | + | 0.0370038i | −0.00102267 | + | 0.00192895i | ||||
\(369\) | −5.44331 | + | 1.19816i | −0.283367 | + | 0.0623739i | ||||
\(370\) | −2.71551 | − | 1.25633i | −0.141173 | − | 0.0653134i | ||||
\(371\) | −0.309556 | − | 0.776926i | −0.0160713 | − | 0.0403360i | ||||
\(372\) | 0.0107747 | + | 0.198728i | 0.000558644 | + | 0.0103036i | ||||
\(373\) | 14.9776 | + | 22.0903i | 0.775509 | + | 1.14379i | 0.986090 | + | 0.166213i | \(0.0531541\pi\) |
−0.210581 | + | 0.977576i | \(0.567536\pi\) | |||||||
\(374\) | −2.11018 | − | 2.48430i | −0.109115 | − | 0.128460i | ||||
\(375\) | 2.57323 | + | 4.85363i | 0.132881 | + | 0.250640i | ||||
\(376\) | 11.0848 | − | 3.73491i | 0.571655 | − | 0.192613i | ||||
\(377\) | 0.103749 | − | 1.91354i | 0.00534336 | − | 0.0985525i | ||||
\(378\) | 1.69579 | − | 1.02032i | 0.0872220 | − | 0.0524797i | ||||
\(379\) | 3.96325 | + | 14.2743i | 0.203578 | + | 0.733223i | 0.992870 | + | 0.119204i | \(0.0380343\pi\) |
−0.789291 | + | 0.614019i | \(0.789552\pi\) | |||||||
\(380\) | 1.93336 | − | 6.96333i | 0.0991792 | − | 0.357211i | ||||
\(381\) | −16.9338 | − | 10.1887i | −0.867544 | − | 0.521984i | ||||
\(382\) | −7.91236 | + | 11.6699i | −0.404832 | + | 0.597082i | ||||
\(383\) | 13.0513 | − | 1.41941i | 0.666888 | − | 0.0725284i | 0.231588 | − | 0.972814i | \(-0.425608\pi\) |
0.435300 | + | 0.900286i | \(0.356642\pi\) | |||||||
\(384\) | −0.994138 | + | 0.108119i | −0.0507319 | + | 0.00551743i | ||||
\(385\) | −2.96020 | + | 4.36597i | −0.150866 | + | 0.222510i | ||||
\(386\) | 1.93606 | + | 1.16489i | 0.0985427 | + | 0.0592911i | ||||
\(387\) | −2.82762 | + | 10.1842i | −0.143736 | + | 0.517690i | ||||
\(388\) | −2.71283 | − | 9.77075i | −0.137723 | − | 0.496035i | ||||
\(389\) | 6.47840 | − | 3.89792i | 0.328468 | − | 0.197633i | −0.341761 | − | 0.939787i | \(-0.611023\pi\) |
0.670229 | + | 0.742154i | \(0.266196\pi\) | |||||||
\(390\) | 0.219631 | − | 4.05085i | 0.0111214 | − | 0.205123i | ||||
\(391\) | −0.137851 | + | 0.0464474i | −0.00697142 | + | 0.00234894i | ||||
\(392\) | 1.44422 | + | 2.72408i | 0.0729440 | + | 0.137587i | ||||
\(393\) | −5.67819 | − | 6.68488i | −0.286427 | − | 0.337208i | ||||
\(394\) | 9.86997 | + | 14.5571i | 0.497242 | + | 0.733377i | ||||
\(395\) | −1.30637 | − | 24.0945i | −0.0657304 | − | 1.21233i | ||||
\(396\) | 0.347371 | + | 0.871836i | 0.0174561 | + | 0.0438114i | ||||
\(397\) | −33.3810 | − | 15.4437i | −1.67535 | − | 0.775097i | −0.999268 | − | 0.0382676i | \(-0.987816\pi\) |
−0.676078 | − | 0.736830i | \(-0.736322\pi\) | |||||||
\(398\) | −6.68801 | + | 1.47214i | −0.335240 | + | 0.0737918i | ||||
\(399\) | 2.35891 | − | 4.44937i | 0.118093 | − | 0.222747i | ||||
\(400\) | −0.495967 | + | 3.02527i | −0.0247984 | + | 0.151263i | ||||
\(401\) | −14.1663 | + | 10.7689i | −0.707432 | + | 0.537776i | −0.895874 | − | 0.444309i | \(-0.853449\pi\) |
0.188442 | + | 0.982084i | \(0.439656\pi\) | |||||||
\(402\) | 6.39234 | − | 2.95741i | 0.318821 | − | 0.147502i | ||||
\(403\) | 0.206393 | + | 0.195506i | 0.0102812 | + | 0.00973883i | ||||
\(404\) | 2.89231 | + | 17.6423i | 0.143898 | + | 0.877738i | ||||
\(405\) | −2.69134 | − | 0.906819i | −0.133734 | − | 0.0450602i | ||||
\(406\) | −0.982741 | + | 2.46649i | −0.0487726 | + | 0.122410i | ||||
\(407\) | 0.717816 | − | 0.679951i | 0.0355808 | − | 0.0337039i | ||||
\(408\) | −2.76497 | − | 2.10188i | −0.136886 | − | 0.104058i | ||||
\(409\) | −0.279054 | − | 0.0614244i | −0.0137983 | − | 0.00303724i | 0.208066 | − | 0.978115i | \(-0.433283\pi\) |
−0.221864 | + | 0.975078i | \(0.571214\pi\) | |||||||
\(410\) | 10.2476 | − | 12.0644i | 0.506091 | − | 0.595816i | ||||
\(411\) | 4.08991 | + | 0.444805i | 0.201740 | + | 0.0219406i | ||||
\(412\) | 8.30493 | 0.409155 | ||||||||
\(413\) | −14.7525 | − | 3.66767i | −0.725924 | − | 0.180474i | ||||
\(414\) | 0.0418826 | 0.00205842 | ||||||||
\(415\) | −24.0722 | − | 2.61801i | −1.18166 | − | 0.128513i | ||||
\(416\) | −0.924756 | + | 1.08871i | −0.0453399 | + | 0.0533783i | ||||
\(417\) | −4.50858 | − | 0.992414i | −0.220786 | − | 0.0485987i | ||||
\(418\) | 1.90115 | + | 1.44522i | 0.0929884 | + | 0.0706880i | ||||
\(419\) | −8.48520 | + | 8.03761i | −0.414529 | + | 0.392663i | −0.866343 | − | 0.499449i | \(-0.833536\pi\) |
0.451814 | + | 0.892112i | \(0.350777\pi\) | |||||||
\(420\) | −2.08040 | + | 5.22141i | −0.101513 | + | 0.254779i | ||||
\(421\) | −22.4977 | − | 7.58036i | −1.09647 | − | 0.369444i | −0.287791 | − | 0.957693i | \(-0.592921\pi\) |
−0.808680 | + | 0.588249i | \(0.799817\pi\) | |||||||
\(422\) | 3.49589 | + | 21.3240i | 0.170177 | + | 1.03803i | ||||
\(423\) | −8.49205 | − | 8.04410i | −0.412898 | − | 0.391117i | ||||
\(424\) | 0.383525 | − | 0.177438i | 0.0186256 | − | 0.00861714i | ||||
\(425\) | −8.47644 | + | 6.44362i | −0.411168 | + | 0.312562i | ||||
\(426\) | 0.308874 | − | 1.88405i | 0.0149650 | − | 0.0912823i | ||||
\(427\) | −12.7411 | + | 24.0323i | −0.616587 | + | 1.16301i | ||||
\(428\) | 13.0236 | − | 2.86672i | 0.629521 | − | 0.138568i | ||||
\(429\) | 1.21668 | + | 0.562896i | 0.0587419 | + | 0.0271769i | ||||
\(430\) | −11.1105 | − | 27.8853i | −0.535797 | − | 1.34475i | ||||
\(431\) | −0.334319 | − | 6.16615i | −0.0161036 | − | 0.297013i | −0.995480 | − | 0.0949696i | \(-0.969725\pi\) |
0.979377 | − | 0.202043i | \(-0.0647582\pi\) | |||||||
\(432\) | 0.561187 | + | 0.827689i | 0.0270001 | + | 0.0398222i | ||||
\(433\) | −19.9468 | − | 23.4832i | −0.958583 | − | 1.12853i | −0.991634 | − | 0.129078i | \(-0.958798\pi\) |
0.0330514 | − | 0.999454i | \(-0.489477\pi\) | |||||||
\(434\) | −0.184495 | − | 0.347995i | −0.00885605 | − | 0.0167043i | ||||
\(435\) | 3.61061 | − | 1.21656i | 0.173116 | − | 0.0583295i | ||||
\(436\) | −0.390931 | + | 7.21030i | −0.0187222 | + | 0.345311i | ||||
\(437\) | 0.0913198 | − | 0.0549453i | 0.00436842 | − | 0.00262839i | ||||
\(438\) | 0.907031 | + | 3.26683i | 0.0433396 | + | 0.156095i | ||||
\(439\) | −2.77587 | + | 9.99777i | −0.132485 | + | 0.477167i | −0.999788 | − | 0.0206138i | \(-0.993438\pi\) |
0.867303 | + | 0.497781i | \(0.165852\pi\) | |||||||
\(440\) | −2.28380 | − | 1.37412i | −0.108876 | − | 0.0655085i | ||||
\(441\) | 1.73028 | − | 2.55197i | 0.0823941 | − | 0.121522i | ||||
\(442\) | −4.93216 | + | 0.536405i | −0.234599 | + | 0.0255142i | ||||
\(443\) | 19.9208 | − | 2.16652i | 0.946465 | − | 0.102934i | 0.378149 | − | 0.925745i | \(-0.376561\pi\) |
0.568316 | + | 0.822810i | \(0.307595\pi\) | |||||||
\(444\) | 0.591230 | − | 0.871999i | 0.0280585 | − | 0.0413832i | ||||
\(445\) | 23.9820 | + | 14.4295i | 1.13686 | + | 0.684025i | ||||
\(446\) | −0.890971 | + | 3.20899i | −0.0421887 | + | 0.151950i | ||||
\(447\) | −1.29482 | − | 4.66352i | −0.0612429 | − | 0.220577i | ||||
\(448\) | 1.69579 | − | 1.02032i | 0.0801185 | − | 0.0482057i | ||||
\(449\) | −0.135319 | + | 2.49581i | −0.00638610 | + | 0.117785i | 0.993602 | + | 0.112937i | \(0.0360258\pi\) |
−0.999988 | + | 0.00484765i | \(0.998457\pi\) | |||||||
\(450\) | 2.90517 | − | 0.978867i | 0.136951 | − | 0.0461443i | ||||
\(451\) | 2.45015 | + | 4.62147i | 0.115373 | + | 0.217616i | ||||
\(452\) | 2.39771 | + | 2.82280i | 0.112779 | + | 0.132773i | ||||
\(453\) | 6.34055 | + | 9.35161i | 0.297905 | + | 0.439377i | ||||
\(454\) | 0.640300 | + | 11.8096i | 0.0300508 | + | 0.554254i | ||||
\(455\) | 2.97174 | + | 7.45850i | 0.139317 | + | 0.349660i | ||||
\(456\) | 2.30943 | + | 1.06846i | 0.108149 | + | 0.0500351i | ||||
\(457\) | −12.3470 | + | 2.71778i | −0.577568 | + | 0.127132i | −0.494142 | − | 0.869381i | \(-0.664518\pi\) |
−0.0834269 | + | 0.996514i | \(0.526587\pi\) | |||||||
\(458\) | −1.54678 | + | 2.91753i | −0.0722762 | + | 0.136327i | ||||
\(459\) | −0.561897 | + | 3.42742i | −0.0262271 | + | 0.159978i | ||||
\(460\) | −0.0946928 | + | 0.0719836i | −0.00441508 | + | 0.00335625i | ||||
\(461\) | 31.7743 | − | 14.7003i | 1.47987 | − | 0.684663i | 0.496799 | − | 0.867865i | \(-0.334508\pi\) |
0.983075 | + | 0.183202i | \(0.0586464\pi\) | |||||||
\(462\) | −1.34843 | − | 1.27730i | −0.0627345 | − | 0.0594253i | ||||
\(463\) | 0.610329 | + | 3.72284i | 0.0283644 | + | 0.173015i | 0.997210 | − | 0.0746516i | \(-0.0237845\pi\) |
−0.968845 | + | 0.247667i | \(0.920336\pi\) | |||||||
\(464\) | −1.27134 | − | 0.428364i | −0.0590204 | − | 0.0198863i | ||||
\(465\) | −0.209209 | + | 0.525075i | −0.00970184 | + | 0.0243498i | ||||
\(466\) | −8.17479 | + | 7.74358i | −0.378690 | + | 0.358714i | ||||
\(467\) | 34.1637 | + | 25.9706i | 1.58091 | + | 1.20177i | 0.862360 | + | 0.506296i | \(0.168986\pi\) |
0.718547 | + | 0.695478i | \(0.244808\pi\) | |||||||
\(468\) | 1.39505 | + | 0.307074i | 0.0644862 | + | 0.0141945i | ||||
\(469\) | −9.02410 | + | 10.6240i | −0.416694 | + | 0.490570i | ||||
\(470\) | 33.0252 | + | 3.59170i | 1.52334 | + | 0.165673i | ||||
\(471\) | 8.57879 | 0.395290 | ||||||||
\(472\) | 1.44694 | − | 7.54363i | 0.0666008 | − | 0.347224i | ||||
\(473\) | 9.91931 | 0.456090 | ||||||||
\(474\) | 8.44661 | + | 0.918624i | 0.387966 | + | 0.0421938i | ||||
\(475\) | 5.05021 | − | 5.94557i | 0.231719 | − | 0.272801i | ||||
\(476\) | 6.71299 | + | 1.47764i | 0.307689 | + | 0.0677275i | ||||
\(477\) | −0.336415 | − | 0.255736i | −0.0154034 | − | 0.0117093i | ||||
\(478\) | −7.05045 | + | 6.67854i | −0.322480 | + | 0.305469i | ||||
\(479\) | 8.63464 | − | 21.6713i | 0.394527 | − | 0.990188i | −0.588790 | − | 0.808286i | \(-0.700395\pi\) |
0.983317 | − | 0.181902i | \(-0.0582253\pi\) | |||||||
\(480\) | −2.69134 | − | 0.906819i | −0.122842 | − | 0.0413904i | ||||
\(481\) | −0.243468 | − | 1.48509i | −0.0111012 | − | 0.0677144i | ||||
\(482\) | 17.3498 | + | 16.4346i | 0.790263 | + | 0.748577i | ||||
\(483\) | −0.0752280 | + | 0.0348042i | −0.00342299 | + | 0.00158364i | ||||
\(484\) | −8.05585 | + | 6.12390i | −0.366175 | + | 0.278359i | ||||
\(485\) | 4.65912 | − | 28.4193i | 0.211560 | − | 1.29046i | ||||
\(486\) | 0.468408 | − | 0.883512i | 0.0212474 | − | 0.0400769i | ||||
\(487\) | 25.4302 | − | 5.59761i | 1.15235 | − | 0.253652i | 0.402603 | − | 0.915375i | \(-0.368105\pi\) |
0.749749 | + | 0.661723i | \(0.230174\pi\) | |||||||
\(488\) | −12.4739 | − | 5.77105i | −0.564668 | − | 0.261243i | ||||
\(489\) | 1.64082 | + | 4.11816i | 0.0742006 | + | 0.186230i | ||||
\(490\) | 0.474064 | + | 8.74360i | 0.0214160 | + | 0.394995i | ||||
\(491\) | 23.7070 | + | 34.9652i | 1.06988 | + | 1.57796i | 0.785103 | + | 0.619365i | \(0.212610\pi\) |
0.284779 | + | 0.958593i | \(0.408080\pi\) | |||||||
\(492\) | 3.60829 | + | 4.24800i | 0.162674 | + | 0.191515i | ||||
\(493\) | −2.18255 | − | 4.11672i | −0.0982969 | − | 0.185408i | ||||
\(494\) | 3.44458 | − | 1.16061i | 0.154979 | − | 0.0522185i | ||||
\(495\) | −0.144298 | + | 2.66141i | −0.00648570 | + | 0.119622i | ||||
\(496\) | 0.170532 | − | 0.102606i | 0.00765711 | − | 0.00460713i | ||||
\(497\) | 1.01084 | + | 3.64073i | 0.0453425 | + | 0.163309i | ||||
\(498\) | 2.28097 | − | 8.21532i | 0.102213 | − | 0.368137i | ||||
\(499\) | 12.1574 | + | 7.31489i | 0.544242 | + | 0.327459i | 0.760985 | − | 0.648769i | \(-0.224716\pi\) |
−0.216744 | + | 0.976229i | \(0.569544\pi\) | |||||||
\(500\) | 3.08292 | − | 4.54696i | 0.137872 | − | 0.203346i | ||||
\(501\) | −5.16970 | + | 0.562239i | −0.230965 | + | 0.0251190i | ||||
\(502\) | −30.6644 | + | 3.33496i | −1.36862 | + | 0.148846i | ||||
\(503\) | −7.66759 | + | 11.3088i | −0.341881 | + | 0.504237i | −0.959297 | − | 0.282400i | \(-0.908869\pi\) |
0.617416 | + | 0.786637i | \(0.288180\pi\) | |||||||
\(504\) | −1.69579 | − | 1.02032i | −0.0755364 | − | 0.0454488i | ||||
\(505\) | −13.5833 | + | 48.9225i | −0.604447 | + | 2.17702i | ||||
\(506\) | −0.0105156 | − | 0.0378737i | −0.000467475 | − | 0.00168369i | ||||
\(507\) | −9.39076 | + | 5.65023i | −0.417058 | + | 0.250936i | ||||
\(508\) | −1.06993 | + | 19.7337i | −0.0474704 | + | 0.875541i | ||||
\(509\) | 30.0226 | − | 10.1158i | 1.33073 | − | 0.448375i | 0.438003 | − | 0.898974i | \(-0.355686\pi\) |
0.892727 | + | 0.450598i | \(0.148789\pi\) | |||||||
\(510\) | −4.62031 | − | 8.71483i | −0.204591 | − | 0.385899i | ||||
\(511\) | −4.34389 | − | 5.11402i | −0.192162 | − | 0.226231i | ||||
\(512\) | 0.561187 | + | 0.827689i | 0.0248012 | + | 0.0365790i | ||||
\(513\) | −0.137763 | − | 2.54089i | −0.00608238 | − | 0.112183i | ||||
\(514\) | 1.09004 | + | 2.73580i | 0.0480797 | + | 0.120671i | ||||
\(515\) | 21.4062 | + | 9.90354i | 0.943268 | + | 0.436402i | ||||
\(516\) | 10.3223 | − | 2.27211i | 0.454414 | − | 0.100024i | ||||
\(517\) | −5.14202 | + | 9.69887i | −0.226146 | + | 0.426556i | ||||
\(518\) | −0.337320 | + | 2.05756i | −0.0148210 | + | 0.0904041i | ||||
\(519\) | 0.922441 | − | 0.701221i | 0.0404906 | − | 0.0307802i | ||||
\(520\) | −3.68185 | + | 1.70341i | −0.161460 | + | 0.0746993i | ||||
\(521\) | 13.6586 | + | 12.9381i | 0.598394 | + | 0.566829i | 0.925781 | − | 0.378061i | \(-0.123409\pi\) |
−0.327386 | + | 0.944891i | \(0.606168\pi\) | |||||||
\(522\) | 0.217041 | + | 1.32389i | 0.00949963 | + | 0.0579452i | ||||
\(523\) | 12.3924 | + | 4.17547i | 0.541880 | + | 0.182581i | 0.576913 | − | 0.816805i | \(-0.304257\pi\) |
−0.0350329 | + | 0.999386i | \(0.511154\pi\) | |||||||
\(524\) | −3.24646 | + | 8.14800i | −0.141822 | + | 0.355947i | ||||
\(525\) | −4.40474 | + | 4.17239i | −0.192239 | + | 0.182098i | ||||
\(526\) | −9.05265 | − | 6.88164i | −0.394714 | − | 0.300054i | ||||
\(527\) | 0.675071 | + | 0.148594i | 0.0294066 | + | 0.00647287i | ||||
\(528\) | 0.607566 | − | 0.715282i | 0.0264409 | − | 0.0311287i | ||||
\(529\) | 22.8634 | + | 2.48655i | 0.994062 | + | 0.108111i | ||||
\(530\) | 1.20014 | 0.0521307 | ||||||||
\(531\) | −7.34265 | + | 2.25511i | −0.318644 | + | 0.0978635i | ||||
\(532\) | −5.03601 | −0.218339 | ||||||||
\(533\) | 7.91494 | + | 0.860802i | 0.342834 | + | 0.0372855i | ||||
\(534\) | −6.38001 | + | 7.51113i | −0.276090 | + | 0.325038i | ||||
\(535\) | 36.9872 | + | 8.14151i | 1.59910 | + | 0.351988i | ||||
\(536\) | −5.60713 | − | 4.26243i | −0.242191 | − | 0.184109i | ||||
\(537\) | 11.5216 | − | 10.9139i | 0.497195 | − | 0.470968i | ||||
\(538\) | 8.37598 | − | 21.0221i | 0.361114 | − | 0.906328i | ||||
\(539\) | −2.74213 | − | 0.923930i | −0.118112 | − | 0.0397965i | ||||
\(540\) | 0.459462 | + | 2.80260i | 0.0197721 | + | 0.120605i | ||||
\(541\) | −32.2725 | − | 30.5702i | −1.38750 | − | 1.31431i | −0.896422 | − | 0.443201i | \(-0.853843\pi\) |
−0.491082 | − | 0.871113i | \(-0.663399\pi\) | |||||||
\(542\) | −18.1177 | + | 8.38214i | −0.778221 | + | 0.360044i | ||||
\(543\) | 1.81626 | − | 1.38069i | 0.0779434 | − | 0.0592510i | ||||
\(544\) | −0.561897 | + | 3.42742i | −0.0240911 | + | 0.146949i | ||||
\(545\) | −9.60584 | + | 18.1185i | −0.411469 | + | 0.776113i | ||||
\(546\) | −2.76091 | + | 0.607723i | −0.118156 | + | 0.0260081i | ||||
\(547\) | 10.4226 | + | 4.82200i | 0.445637 | + | 0.206174i | 0.629857 | − | 0.776711i | \(-0.283114\pi\) |
−0.184219 | + | 0.982885i | \(0.558976\pi\) | |||||||
\(548\) | −1.52276 | − | 3.82184i | −0.0650490 | − | 0.163261i | ||||
\(549\) | 0.744097 | + | 13.7241i | 0.0317573 | + | 0.585729i | ||||
\(550\) | −1.61458 | − | 2.38133i | −0.0688461 | − | 0.101540i | ||||
\(551\) | 2.21003 | + | 2.60185i | 0.0941505 | + | 0.110843i | ||||
\(552\) | −0.0196182 | − | 0.0370038i | −0.000835004 | − | 0.00157498i | ||||
\(553\) | −15.9349 | + | 5.36908i | −0.677620 | + | 0.228317i | ||||
\(554\) | 1.26536 | − | 23.3383i | 0.0537602 | − | 0.991548i | ||||
\(555\) | 2.56376 | − | 1.54256i | 0.108825 | − | 0.0654781i | ||||
\(556\) | 1.23505 | + | 4.44824i | 0.0523777 | + | 0.188648i | ||||
\(557\) | 7.01836 | − | 25.2779i | 0.297378 | − | 1.07106i | −0.652334 | − | 0.757931i | \(-0.726210\pi\) |
0.949712 | − | 0.313126i | \(-0.101376\pi\) | |||||||
\(558\) | −0.170532 | − | 0.102606i | −0.00721919 | − | 0.00434364i | ||||
\(559\) | 8.47271 | − | 12.4963i | 0.358358 | − | 0.528538i | ||||
\(560\) | 5.58766 | − | 0.607694i | 0.236122 | − | 0.0256798i | ||||
\(561\) | 3.24044 | − | 0.352419i | 0.136811 | − | 0.0148791i | ||||
\(562\) | −15.2396 | + | 22.4767i | −0.642843 | + | 0.948123i | ||||
\(563\) | −1.31099 | − | 0.788796i | −0.0552516 | − | 0.0332438i | 0.487660 | − | 0.873034i | \(-0.337851\pi\) |
−0.542912 | + | 0.839790i | \(0.682678\pi\) | |||||||
\(564\) | −3.12931 | + | 11.2708i | −0.131768 | + | 0.474584i | ||||
\(565\) | 2.81399 | + | 10.1351i | 0.118385 | + | 0.426385i | ||||
\(566\) | 11.0805 | − | 6.66691i | 0.465748 | − | 0.280231i | ||||
\(567\) | −0.107145 | + | 1.97618i | −0.00449968 | + | 0.0829916i | ||||
\(568\) | −1.80926 | + | 0.609609i | −0.0759147 | + | 0.0255786i | ||||
\(569\) | 5.20337 | + | 9.81460i | 0.218137 | + | 0.411450i | 0.968295 | − | 0.249808i | \(-0.0803677\pi\) |
−0.750159 | + | 0.661258i | \(0.770023\pi\) | |||||||
\(570\) | 4.67850 | + | 5.50795i | 0.195961 | + | 0.230703i | ||||
\(571\) | 18.1364 | + | 26.7491i | 0.758983 | + | 1.11942i | 0.989242 | + | 0.146287i | \(0.0467323\pi\) |
−0.230259 | + | 0.973129i | \(0.573957\pi\) | |||||||
\(572\) | −0.0725777 | − | 1.33862i | −0.00303463 | − | 0.0559704i | ||||
\(573\) | −5.21870 | − | 13.0979i | −0.218014 | − | 0.547175i | ||||
\(574\) | −10.0111 | − | 4.63164i | −0.417857 | − | 0.193321i | ||||
\(575\) | −0.125396 | + | 0.0276016i | −0.00522936 | + | 0.00115107i | ||||
\(576\) | 0.468408 | − | 0.883512i | 0.0195170 | − | 0.0368130i | ||||
\(577\) | 2.67212 | − | 16.2992i | 0.111242 | − | 0.678545i | −0.871051 | − | 0.491193i | \(-0.836561\pi\) |
0.982293 | − | 0.187352i | \(-0.0599906\pi\) | |||||||
\(578\) | 3.93035 | − | 2.98778i | 0.163481 | − | 0.124275i | ||||
\(579\) | −2.05065 | + | 0.948733i | −0.0852222 | + | 0.0394280i | ||||
\(580\) | −2.76609 | − | 2.62018i | −0.114855 | − | 0.108797i | ||||
\(581\) | 2.72988 | + | 16.6515i | 0.113255 | + | 0.690822i | ||||
\(582\) | 9.60955 | + | 3.23783i | 0.398329 | + | 0.134213i | ||||
\(583\) | −0.146793 | + | 0.368423i | −0.00607955 | + | 0.0152585i | ||||
\(584\) | 2.46142 | − | 2.33158i | 0.101854 | − | 0.0964816i | ||||
\(585\) | 3.22959 | + | 2.45507i | 0.133527 | + | 0.101505i | ||||
\(586\) | 33.0803 | + | 7.28152i | 1.36653 | + | 0.300797i | ||||
\(587\) | −14.9160 | + | 17.5605i | −0.615650 | + | 0.724799i | −0.978315 | − | 0.207120i | \(-0.933591\pi\) |
0.362666 | + | 0.931919i | \(0.381867\pi\) | |||||||
\(588\) | −3.06517 | − | 0.333357i | −0.126405 | − | 0.0137474i | ||||
\(589\) | −0.506431 | −0.0208671 | ||||||||
\(590\) | 12.7252 | − | 17.7184i | 0.523889 | − | 0.729456i | ||||
\(591\) | −17.5877 | −0.723460 | ||||||||
\(592\) | −1.04736 | − | 0.113907i | −0.0430462 | − | 0.00468155i | ||||
\(593\) | 24.9111 | − | 29.3276i | 1.02298 | − | 1.20434i | 0.0442807 | − | 0.999019i | \(-0.485900\pi\) |
0.978695 | − | 0.205321i | \(-0.0658237\pi\) | |||||||
\(594\) | −0.916550 | − | 0.201748i | −0.0376065 | − | 0.00827781i | ||||
\(595\) | 15.5408 | + | 11.8138i | 0.637111 | + | 0.484319i | ||||
\(596\) | −3.51377 | + | 3.32842i | −0.143930 | + | 0.136337i | ||||
\(597\) | 2.53475 | − | 6.36174i | 0.103740 | − | 0.260369i | ||||
\(598\) | −0.0566952 | − | 0.0191028i | −0.00231844 | − | 0.000781174i | ||||
\(599\) | −0.947925 | − | 5.78208i | −0.0387312 | − | 0.236250i | 0.960366 | − | 0.278744i | \(-0.0899179\pi\) |
−0.999097 | + | 0.0424940i | \(0.986470\pi\) | |||||||
\(600\) | −2.22565 | − | 2.10825i | −0.0908618 | − | 0.0860688i | ||||
\(601\) | −3.08151 | + | 1.42566i | −0.125697 | + | 0.0581538i | −0.481730 | − | 0.876320i | \(-0.659991\pi\) |
0.356032 | + | 0.934474i | \(0.384129\pi\) | |||||||
\(602\) | −16.6525 | + | 12.6589i | −0.678703 | + | 0.515937i | ||||
\(603\) | −1.13948 | + | 6.95053i | −0.0464033 | + | 0.283047i | ||||
\(604\) | 5.29229 | − | 9.98233i | 0.215340 | − | 0.406175i | ||||
\(605\) | −28.0668 | + | 6.17797i | −1.14108 | + | 0.251170i | ||||
\(606\) | −16.2255 | − | 7.50670i | −0.659115 | − | 0.304939i | ||||
\(607\) | 0.657263 | + | 1.64961i | 0.0266775 | + | 0.0669554i | 0.941712 | − | 0.336420i | \(-0.109216\pi\) |
−0.915035 | + | 0.403375i | \(0.867837\pi\) | |||||||
\(608\) | −0.137763 | − | 2.54089i | −0.00558703 | − | 0.103047i | ||||
\(609\) | −1.48999 | − | 2.19757i | −0.0603774 | − | 0.0890500i | ||||
\(610\) | −25.2699 | − | 29.7500i | −1.02315 | − | 1.20454i | ||||
\(611\) | 7.82649 | + | 14.7623i | 0.316626 | + | 0.597220i | ||||
\(612\) | 3.29137 | − | 1.10899i | 0.133046 | − | 0.0448283i | ||||
\(613\) | 1.47004 | − | 27.1134i | 0.0593745 | − | 1.09510i | −0.805333 | − | 0.592823i | \(-0.798014\pi\) |
0.864708 | − | 0.502276i | \(-0.167504\pi\) | |||||||
\(614\) | 22.2011 | − | 13.3580i | 0.895965 | − | 0.539084i | ||||
\(615\) | 4.23474 | + | 15.2522i | 0.170761 | + | 0.615026i | ||||
\(616\) | −0.496893 | + | 1.78965i | −0.0200204 | + | 0.0721070i | ||||
\(617\) | −22.7044 | − | 13.6608i | −0.914046 | − | 0.549963i | −0.0209258 | − | 0.999781i | \(-0.506661\pi\) |
−0.893120 | + | 0.449818i | \(0.851489\pi\) | |||||||
\(618\) | −4.66062 | + | 6.87390i | −0.187478 | + | 0.276509i | ||||
\(619\) | 17.2296 | − | 1.87384i | 0.692518 | − | 0.0753159i | 0.244910 | − | 0.969546i | \(-0.421242\pi\) |
0.447608 | + | 0.894230i | \(0.352276\pi\) | |||||||
\(620\) | 0.561906 | − | 0.0611109i | 0.0225667 | − | 0.00245427i | ||||
\(621\) | −0.0235040 | + | 0.0346658i | −0.000943182 | + | 0.00139109i | ||||
\(622\) | −17.8968 | − | 10.7681i | −0.717595 | − | 0.431763i | ||||
\(623\) | 5.21784 | − | 18.7930i | 0.209048 | − | 0.752925i | ||||
\(624\) | −0.382150 | − | 1.37638i | −0.0152982 | − | 0.0550992i | ||||
\(625\) | 26.5026 | − | 15.9461i | 1.06010 | − | 0.637844i | ||||
\(626\) | 1.05900 | − | 19.5322i | 0.0423263 | − | 0.780663i | ||||
\(627\) | −2.26309 | + | 0.762525i | −0.0903793 | + | 0.0304523i | ||||
\(628\) | −4.01838 | − | 7.57946i | −0.160351 | − | 0.302454i | ||||
\(629\) | −2.36886 | − | 2.78884i | −0.0944526 | − | 0.111198i | ||||
\(630\) | −3.15421 | − | 4.65211i | −0.125667 | − | 0.185345i | ||||
\(631\) | −0.370351 | − | 6.83072i | −0.0147434 | − | 0.271927i | −0.996605 | − | 0.0823286i | \(-0.973764\pi\) |
0.981862 | − | 0.189598i | \(-0.0607185\pi\) | |||||||
\(632\) | −3.14485 | − | 7.89297i | −0.125095 | − | 0.313966i | ||||
\(633\) | −19.6115 | − | 9.07323i | −0.779486 | − | 0.360628i | ||||
\(634\) | 5.30964 | − | 1.16874i | 0.210873 | − | 0.0464166i | ||||
\(635\) | −26.2900 | + | 49.5881i | −1.04329 | + | 1.96784i | ||||
\(636\) | −0.0683662 | + | 0.417016i | −0.00271090 | + | 0.0165357i | ||||
\(637\) | −3.50619 | + | 2.66534i | −0.138920 | + | 0.105604i | ||||
\(638\) | 1.14268 | − | 0.528660i | 0.0452392 | − | 0.0209299i | ||||
\(639\) | 1.38607 | + | 1.31295i | 0.0548320 | + | 0.0519396i | ||||
\(640\) | 0.459462 | + | 2.80260i | 0.0181618 | + | 0.110782i | ||||
\(641\) | −13.4683 | − | 4.53799i | −0.531964 | − | 0.179240i | 0.0404843 | − | 0.999180i | \(-0.487110\pi\) |
−0.572449 | + | 0.819940i | \(0.694006\pi\) | |||||||
\(642\) | −4.93594 | + | 12.3883i | −0.194806 | + | 0.488927i | ||||
\(643\) | −3.45825 | + | 3.27583i | −0.136380 | + | 0.129186i | −0.752849 | − | 0.658193i | \(-0.771321\pi\) |
0.616469 | + | 0.787379i | \(0.288562\pi\) | |||||||
\(644\) | 0.0659873 | + | 0.0501623i | 0.00260027 | + | 0.00197667i | ||||
\(645\) | 29.3155 | + | 6.45282i | 1.15430 | + | 0.254080i | ||||
\(646\) | 5.72154 | − | 6.73592i | 0.225111 | − | 0.265021i | ||||
\(647\) | 2.18853 | + | 0.238017i | 0.0860402 | + | 0.00935743i | 0.151038 | − | 0.988528i | \(-0.451738\pi\) |
−0.0649977 | + | 0.997885i | \(0.520704\pi\) | |||||||
\(648\) | −1.00000 | −0.0392837 | ||||||||
\(649\) | 3.88280 | + | 6.07363i | 0.152413 | + | 0.238411i | ||||
\(650\) | −4.37912 | −0.171763 | ||||||||
\(651\) | 0.391568 | + | 0.0425856i | 0.0153468 | + | 0.00166906i | ||||
\(652\) | 2.86987 | − | 3.37867i | 0.112393 | − | 0.132319i | ||||
\(653\) | 5.55716 | + | 1.22322i | 0.217469 | + | 0.0478684i | 0.322368 | − | 0.946614i | \(-0.395521\pi\) |
−0.104900 | + | 0.994483i | \(0.533452\pi\) | |||||||
\(654\) | −5.74850 | − | 4.36990i | −0.224784 | − | 0.170876i | ||||
\(655\) | −18.0842 | + | 17.1303i | −0.706609 | + | 0.669336i | ||||
\(656\) | 2.06301 | − | 5.17776i | 0.0805470 | − | 0.202158i | ||||
\(657\) | −3.21293 | − | 1.08256i | −0.125348 | − | 0.0422348i | ||||
\(658\) | −3.74518 | − | 22.8446i | −0.146002 | − | 0.890574i | ||||
\(659\) | −1.98236 | − | 1.87780i | −0.0772219 | − | 0.0731485i | 0.648115 | − | 0.761542i | \(-0.275558\pi\) |
−0.725337 | + | 0.688394i | \(0.758316\pi\) | |||||||
\(660\) | 2.41898 | − | 1.11914i | 0.0941587 | − | 0.0435625i | ||||
\(661\) | 2.75152 | − | 2.09165i | 0.107022 | − | 0.0813557i | −0.550295 | − | 0.834970i | \(-0.685485\pi\) |
0.657316 | + | 0.753615i | \(0.271692\pi\) | |||||||
\(662\) | −2.11763 | + | 12.9170i | −0.0823042 | + | 0.502033i | ||||
\(663\) | 2.32389 | − | 4.38332i | 0.0902523 | − | 0.170234i | ||||
\(664\) | −8.32676 | + | 1.83286i | −0.323141 | + | 0.0711287i | ||||
\(665\) | −12.9804 | − | 6.00538i | −0.503359 | − | 0.232879i | ||||
\(666\) | 0.389953 | + | 0.978709i | 0.0151104 | + | 0.0379242i | ||||
\(667\) | −0.00304197 | − | 0.0561058i | −0.000117786 | − | 0.00217243i | ||||
\(668\) | 2.91828 | + | 4.30413i | 0.112911 | + | 0.166532i | ||||
\(669\) | −2.15604 | − | 2.53829i | −0.0833574 | − | 0.0981360i | ||||
\(670\) | −9.36961 | − | 17.6730i | −0.361979 | − | 0.682766i | ||||
\(671\) | 12.2236 | − | 4.11862i | 0.471887 | − | 0.158997i | ||||
\(672\) | −0.107145 | + | 1.97618i | −0.00413322 | + | 0.0762327i | ||||
\(673\) | 19.2829 | − | 11.6021i | 0.743301 | − | 0.447229i | −0.0928839 | − | 0.995677i | \(-0.529609\pi\) |
0.836185 | + | 0.548448i | \(0.184781\pi\) | |||||||
\(674\) | 3.22455 | + | 11.6138i | 0.124205 | + | 0.447346i | ||||
\(675\) | −0.820149 | + | 2.95391i | −0.0315675 | + | 0.113696i | ||||
\(676\) | 9.39076 | + | 5.65023i | 0.361183 | + | 0.217317i | ||||
\(677\) | −22.3312 | + | 32.9361i | −0.858259 | + | 1.26584i | 0.104239 | + | 0.994552i | \(0.466759\pi\) |
−0.962499 | + | 0.271286i | \(0.912551\pi\) | |||||||
\(678\) | −3.68196 | + | 0.400437i | −0.141405 | + | 0.0153787i | ||||
\(679\) | −19.9509 | + | 2.16980i | −0.765647 | + | 0.0832691i | ||||
\(680\) | −5.53547 | + | 8.16420i | −0.212275 | + | 0.313083i | ||||
\(681\) | −10.1340 | − | 6.09744i | −0.388337 | − | 0.233655i | ||||
\(682\) | −0.0499686 | + | 0.179971i | −0.00191340 | + | 0.00689143i | ||||
\(683\) | −1.73794 | − | 6.25948i | −0.0665003 | − | 0.239512i | 0.922829 | − | 0.385210i | \(-0.125871\pi\) |
−0.989329 | + | 0.145698i | \(0.953457\pi\) | |||||||
\(684\) | −2.18038 | + | 1.31189i | −0.0833688 | + | 0.0501613i | ||||
\(685\) | 0.632552 | − | 11.6667i | 0.0241686 | − | 0.445763i | ||||
\(686\) | 18.9109 | − | 6.37184i | 0.722023 | − | 0.243278i | ||||
\(687\) | −1.54678 | − | 2.91753i | −0.0590133 | − | 0.111311i | ||||
\(688\) | −6.84250 | − | 8.05561i | −0.260868 | − | 0.307117i | ||||
\(689\) | 0.338753 | + | 0.499623i | 0.0129055 | + | 0.0190341i | ||||
\(690\) | −0.00643966 | − | 0.118772i | −0.000245154 | − | 0.00452159i | ||||
\(691\) | 0.660123 | + | 1.65678i | 0.0251123 | + | 0.0630270i | 0.940998 | − | 0.338412i | \(-0.109890\pi\) |
−0.915886 | + | 0.401439i | \(0.868510\pi\) | |||||||
\(692\) | −1.05162 | − | 0.486529i | −0.0399765 | − | 0.0184951i | ||||
\(693\) | 1.81393 | − | 0.399275i | 0.0689053 | − | 0.0151672i | ||||
\(694\) | −13.6035 | + | 25.6590i | −0.516383 | + | 0.974001i | ||||
\(695\) | −2.12112 | + | 12.9382i | −0.0804585 | + | 0.490775i | ||||
\(696\) | 1.06801 | − | 0.811881i | 0.0404829 | − | 0.0307743i | ||||
\(697\) | 17.5690 | − | 8.12828i | 0.665473 | − | 0.307881i | ||||
\(698\) | −23.5835 | − | 22.3395i | −0.892649 | − | 0.845562i | ||||
\(699\) | −1.82168 | − | 11.1118i | −0.0689024 | − | 0.420286i | ||||
\(700\) | 5.74957 | + | 1.93726i | 0.217313 | + | 0.0732214i | ||||
\(701\) | −14.4002 | + | 36.1419i | −0.543890 | + | 1.36506i | 0.358254 | + | 0.933624i | \(0.383372\pi\) |
−0.902143 | + | 0.431436i | \(0.858007\pi\) | |||||||
\(702\) | −1.03705 | + | 0.982341i | −0.0391407 | + | 0.0370761i | ||||
\(703\) | 2.13420 | + | 1.62238i | 0.0804930 | + | 0.0611892i | ||||
\(704\) | −0.916550 | − | 0.201748i | −0.0345438 | − | 0.00760366i | ||||
\(705\) | −21.5061 | + | 25.3190i | −0.809967 | + | 0.953567i | ||||
\(706\) | 9.76900 | + | 1.06244i | 0.367661 | + | 0.0399856i | ||||
\(707\) | 35.3816 | 1.33066 | ||||||||
\(708\) | 5.43178 | + | 5.43100i | 0.204139 | + | 0.204110i | ||||
\(709\) | −32.1672 | −1.20806 | −0.604032 | − | 0.796960i | \(-0.706440\pi\) | ||||
−0.604032 | + | 0.796960i | \(0.706440\pi\) | |||||||
\(710\) | −5.39035 | − | 0.586236i | −0.202296 | − | 0.0220010i | ||||
\(711\) | −5.50046 | + | 6.47565i | −0.206283 | + | 0.242856i | ||||
\(712\) | 9.62463 | + | 2.11854i | 0.360698 | + | 0.0793957i | ||||
\(713\) | 0.00663582 | + | 0.00504442i | 0.000248513 | + | 0.000188915i | ||||
\(714\) | −4.99027 | + | 4.72703i | −0.186756 | + | 0.176905i | ||||
\(715\) | 1.40922 | − | 3.53686i | 0.0527017 | − | 0.132271i | ||||
\(716\) | −15.0394 | − | 5.06735i | −0.562047 | − | 0.189376i | ||||
\(717\) | −1.57113 | − | 9.58349i | −0.0586750 | − | 0.357902i | ||||
\(718\) | −6.76562 | − | 6.40874i | −0.252491 | − | 0.239172i | ||||
\(719\) | −23.5757 | + | 10.9073i | −0.879225 | + | 0.406773i | −0.806956 | − | 0.590612i | \(-0.798886\pi\) |
−0.0722698 | + | 0.997385i | \(0.523024\pi\) | |||||||
\(720\) | 2.26091 | − | 1.71870i | 0.0842592 | − | 0.0640522i | ||||
\(721\) | 2.65907 | − | 16.2196i | 0.0990289 | − | 0.604050i | ||||
\(722\) | 5.86677 | − | 11.0659i | 0.218339 | − | 0.411830i | ||||
\(723\) | −23.3393 | + | 5.13736i | −0.867997 | + | 0.191061i | ||||
\(724\) | −2.07061 | − | 0.957966i | −0.0769536 | − | 0.0356025i | ||||
\(725\) | −1.52229 | − | 3.82067i | −0.0565366 | − | 0.141896i | ||||
\(726\) | −0.547844 | − | 10.1044i | −0.0203324 | − | 0.375009i | ||||
\(727\) | −18.6802 | − | 27.5512i | −0.692810 | − | 1.02182i | −0.997589 | − | 0.0693947i | \(-0.977893\pi\) |
0.304780 | − | 0.952423i | \(-0.401417\pi\) | |||||||
\(728\) | 1.83017 | + | 2.15464i | 0.0678305 | + | 0.0798562i | ||||
\(729\) | 0.468408 | + | 0.883512i | 0.0173485 | + | 0.0327227i | ||||
\(730\) | 9.12476 | − | 3.07449i | 0.337722 | − | 0.113792i | ||||
\(731\) | 1.98741 | − | 36.6556i | 0.0735070 | − | 1.35576i | ||||
\(732\) | 11.7768 | − | 7.08589i | 0.435284 | − | 0.261902i | ||||
\(733\) | 12.9383 | + | 46.5996i | 0.477887 | + | 1.72119i | 0.672304 | + | 0.740275i | \(0.265305\pi\) |
−0.194417 | + | 0.980919i | \(0.562281\pi\) | |||||||
\(734\) | 6.65348 | − | 23.9637i | 0.245584 | − | 0.884515i | ||||
\(735\) | −7.50302 | − | 4.51442i | −0.276753 | − | 0.166517i | ||||
\(736\) | −0.0235040 | + | 0.0346658i | −0.000866368 | + | 0.00127780i | ||||
\(737\) | 6.57134 | − | 0.714676i | 0.242058 | − | 0.0263254i | ||||
\(738\) | −5.54095 | + | 0.602614i | −0.203965 | + | 0.0221825i | ||||
\(739\) | −25.7886 | + | 38.0354i | −0.948649 | + | 1.39915i | −0.0319879 | + | 0.999488i | \(0.510184\pi\) |
−0.916661 | + | 0.399665i | \(0.869127\pi\) | |||||||
\(740\) | −2.56376 | − | 1.54256i | −0.0942456 | − | 0.0567057i | ||||
\(741\) | −0.972426 | + | 3.50236i | −0.0357230 | + | 0.128662i | ||||
\(742\) | −0.223740 | − | 0.805840i | −0.00821377 | − | 0.0295833i | ||||
\(743\) | −16.7820 | + | 10.0974i | −0.615673 | + | 0.370438i | −0.788970 | − | 0.614431i | \(-0.789386\pi\) |
0.173297 | + | 0.984870i | \(0.444558\pi\) | |||||||
\(744\) | −0.0107747 | + | 0.198728i | −0.000395021 | + | 0.00728573i | ||||
\(745\) | −13.0259 | + | 4.38895i | −0.477233 | + | 0.160799i | ||||
\(746\) | 12.5014 | + | 23.5801i | 0.457708 | + | 0.863329i | ||||
\(747\) | 5.51968 | + | 6.49827i | 0.201954 | + | 0.237759i | ||||
\(748\) | −1.82921 | − | 2.69789i | −0.0668827 | − | 0.0986446i | ||||
\(749\) | −1.42883 | − | 26.3531i | −0.0522081 | − | 0.962922i | ||||
\(750\) | 2.03338 | + | 5.10339i | 0.0742485 | + | 0.186350i | ||||
\(751\) | −13.2188 | − | 6.11568i | −0.482362 | − | 0.223164i | 0.163611 | − | 0.986525i | \(-0.447686\pi\) |
−0.645973 | + | 0.763361i | \(0.723548\pi\) | |||||||
\(752\) | 11.4236 | − | 2.51453i | 0.416577 | − | 0.0916956i | ||||
\(753\) | 14.4482 | − | 27.2522i | 0.526521 | − | 0.993124i | ||||
\(754\) | 0.310031 | − | 1.89111i | 0.0112907 | − | 0.0688701i | ||||
\(755\) | 25.5448 | − | 19.4187i | 0.929671 | − | 0.706718i | ||||
\(756\) | 1.79616 | − | 0.830994i | 0.0653259 | − | 0.0302230i | ||||
\(757\) | −13.7957 | − | 13.0680i | −0.501413 | − | 0.474964i | 0.394687 | − | 0.918816i | \(-0.370853\pi\) |
−0.896100 | + | 0.443852i | \(0.853612\pi\) | |||||||
\(758\) | 2.39669 | + | 14.6191i | 0.0870516 | + | 0.530991i | ||||
\(759\) | 0.0372489 | + | 0.0125506i | 0.00135205 | + | 0.000455558i | ||||
\(760\) | 2.67489 | − | 6.71348i | 0.0970286 | − | 0.243523i | ||||
\(761\) | −0.748733 | + | 0.709237i | −0.0271415 | + | 0.0257098i | −0.701150 | − | 0.713014i | \(-0.747330\pi\) |
0.674009 | + | 0.738724i | \(0.264571\pi\) | |||||||
\(762\) | −15.7329 | − | 11.9599i | −0.569944 | − | 0.433260i | ||||
\(763\) | 13.9566 | + | 3.07208i | 0.505263 | + | 0.111217i | ||||
\(764\) | −9.12771 | + | 10.7460i | −0.330229 | + | 0.388776i | ||||
\(765\) | 9.80603 | + | 1.06647i | 0.354538 | + | 0.0385583i | ||||
\(766\) | 13.1282 | 0.474341 | ||||||||
\(767\) | 10.9681 | + | 0.296338i | 0.396035 | + | 0.0107001i | ||||
\(768\) | −1.00000 | −0.0360844 | ||||||||
\(769\) | 17.4494 | + | 1.89773i | 0.629241 | + | 0.0684340i | 0.417182 | − | 0.908823i | \(-0.363018\pi\) |
0.212058 | + | 0.977257i | \(0.431983\pi\) | |||||||
\(770\) | −3.41489 | + | 4.02032i | −0.123064 | + | 0.144882i | ||||
\(771\) | −2.87611 | − | 0.633080i | −0.103581 | − | 0.0227998i | ||||
\(772\) | 1.79876 | + | 1.36738i | 0.0647388 | + | 0.0492132i | ||||
\(773\) | 7.31436 | − | 6.92853i | 0.263079 | − | 0.249202i | −0.544778 | − | 0.838580i | \(-0.683386\pi\) |
0.807857 | + | 0.589379i | \(0.200627\pi\) | |||||||
\(774\) | −3.91215 | + | 9.81874i | −0.140619 | + | 0.352927i | ||||
\(775\) | 0.578188 | + | 0.194814i | 0.0207691 | + | 0.00699794i | ||||
\(776\) | −1.64053 | − | 10.0068i | −0.0588915 | − | 0.359222i | ||||
\(777\) | −1.51372 | − | 1.43387i | −0.0543045 | − | 0.0514399i | ||||
\(778\) | 6.86186 | − | 3.17463i | 0.246010 | − | 0.113816i | ||||
\(779\) | −11.2908 | + | 8.58303i | −0.404534 | + | 0.307519i | ||||
\(780\) | 0.656317 | − | 4.00336i | 0.0234999 | − | 0.143343i | ||||
\(781\) | 0.839277 | − | 1.58305i | 0.0300317 | − | 0.0566458i | ||||
\(782\) | −0.142065 | + | 0.0312708i | −0.00508022 | + | 0.00111824i | ||||
\(783\) | −1.21757 | − | 0.563309i | −0.0435125 | − | 0.0201310i | ||||
\(784\) | 1.14123 | + | 2.86426i | 0.0407581 | + | 0.102295i | ||||
\(785\) | −1.31903 | − | 24.3281i | −0.0470783 | − | 0.868307i | ||||
\(786\) | −4.92214 | − | 7.25961i | −0.175567 | − | 0.258942i | ||||
\(787\) | −35.3897 | − | 41.6640i | −1.26151 | − | 1.48516i | −0.802409 | − | 0.596774i | \(-0.796449\pi\) |
−0.459098 | − | 0.888386i | \(-0.651827\pi\) | |||||||
\(788\) | 8.23821 | + | 15.5389i | 0.293474 | + | 0.553551i | ||||
\(789\) | 10.7761 | − | 3.63089i | 0.383639 | − | 0.129263i | ||||
\(790\) | 1.30637 | − | 24.0945i | 0.0464784 | − | 0.857244i | ||||
\(791\) | 6.28064 | − | 3.77894i | 0.223314 | − | 0.134364i | ||||
\(792\) | 0.251073 | + | 0.904283i | 0.00892149 | + | 0.0321323i | ||||
\(793\) | 5.25235 | − | 18.9173i | 0.186516 | − | 0.671771i | ||||
\(794\) | −31.5156 | − | 18.9623i | −1.11845 | − | 0.672947i | ||||
\(795\) | −0.673502 | + | 0.993341i | −0.0238867 | + | 0.0352302i | ||||
\(796\) | −6.80797 | + | 0.740412i | −0.241302 | + | 0.0262432i | ||||
\(797\) | 1.21271 | − | 0.131891i | 0.0429565 | − | 0.00467180i | −0.0866155 | − | 0.996242i | \(-0.527605\pi\) |
0.129572 | + | 0.991570i | \(0.458640\pi\) | |||||||
\(798\) | 2.82614 | − | 4.16825i | 0.100044 | − | 0.147554i | ||||
\(799\) | 34.8108 | + | 20.9450i | 1.23152 | + | 0.740979i | ||||
\(800\) | −0.820149 | + | 2.95391i | −0.0289966 | + | 0.104436i | ||||
\(801\) | −2.63650 | − | 9.49581i | −0.0931561 | − | 0.335518i | ||||
\(802\) | −15.2476 | + | 9.17417i | −0.538411 | + | 0.323951i | ||||
\(803\) | −0.172263 | + | 3.17720i | −0.00607903 | + | 0.112121i | ||||
\(804\) | 6.67462 | − | 2.24894i | 0.235396 | − | 0.0793140i | ||||
\(805\) | 0.110266 | + | 0.207984i | 0.00388636 | + | 0.00733046i | ||||
\(806\) | 0.184045 | + | 0.216675i | 0.00648271 | + | 0.00763204i | ||||
\(807\) | 12.6993 | + | 18.7301i | 0.447036 | + | 0.659329i | ||||
\(808\) | 0.967886 | + | 17.8516i | 0.0340501 | + | 0.628017i | ||||
\(809\) | −17.6274 | − | 44.2414i | −0.619745 | − | 1.55544i | −0.817954 | − | 0.575284i | \(-0.804892\pi\) |
0.198208 | − | 0.980160i | \(-0.436488\pi\) | |||||||
\(810\) | −2.57752 | − | 1.19249i | −0.0905649 | − | 0.0418998i | ||||
\(811\) | −12.4564 | + | 2.74187i | −0.437405 | + | 0.0962801i | −0.428213 | − | 0.903678i | \(-0.640857\pi\) |
−0.00919151 | + | 0.999958i | \(0.502926\pi\) | |||||||
\(812\) | −1.24365 | + | 2.34578i | −0.0436437 | + | 0.0823208i | ||||
\(813\) | 3.22961 | − | 19.6998i | 0.113267 | − | 0.690901i | ||||
\(814\) | 0.787123 | − | 0.598356i | 0.0275887 | − | 0.0209724i | ||||
\(815\) | 11.4262 | − | 5.28631i | 0.400241 | − | 0.185171i | ||||
\(816\) | −2.52151 | − | 2.38850i | −0.0882705 | − | 0.0836143i | ||||
\(817\) | 4.35115 | + | 26.5409i | 0.152228 | + | 0.928547i | ||||
\(818\) | −0.270777 | − | 0.0912353i | −0.00946749 | − | 0.00318997i | ||||
\(819\) | 1.04638 | − | 2.62622i | 0.0365636 | − | 0.0917677i | ||||
\(820\) | 11.4919 | − | 10.8857i | 0.401314 | − | 0.380145i | ||||
\(821\) | 14.8031 | + | 11.2531i | 0.516633 | + | 0.392735i | 0.830746 | − | 0.556651i | \(-0.187914\pi\) |
−0.314113 | + | 0.949386i | \(0.601707\pi\) | |||||||
\(822\) | 4.01784 | + | 0.884394i | 0.140138 | + | 0.0308468i | ||||
\(823\) | 1.11621 | − | 1.31411i | 0.0389088 | − | 0.0458070i | −0.742363 | − | 0.669997i | \(-0.766295\pi\) |
0.781272 | + | 0.624190i | \(0.214571\pi\) | |||||||
\(824\) | 8.25625 | + | 0.897921i | 0.287620 | + | 0.0312806i | ||||
\(825\) | 2.87709 | 0.100167 | ||||||||
\(826\) | −14.2695 | − | 5.24120i | −0.496499 | − | 0.182365i | ||||
\(827\) | −38.1627 | −1.32705 | −0.663523 | − | 0.748156i | \(-0.730939\pi\) | ||||
−0.663523 | + | 0.748156i | \(0.730939\pi\) | |||||||
\(828\) | 0.0416371 | + | 0.00452830i | 0.00144699 | + | 0.000157369i | ||||
\(829\) | 28.3776 | − | 33.4087i | 0.985596 | − | 1.16033i | −0.00146658 | − | 0.999999i | \(-0.500467\pi\) |
0.987063 | − | 0.160335i | \(-0.0512573\pi\) | |||||||
\(830\) | −23.6481 | − | 5.20534i | −0.820837 | − | 0.180680i | ||||
\(831\) | 18.6067 | + | 14.1445i | 0.645460 | + | 0.490666i | ||||
\(832\) | −1.03705 | + | 0.982341i | −0.0359531 | + | 0.0340566i | ||||
\(833\) | −3.96368 | + | 9.94808i | −0.137333 | + | 0.344681i | ||||
\(834\) | −4.37486 | − | 1.47406i | −0.151489 | − | 0.0510425i | ||||
\(835\) | 2.38929 | + | 14.5740i | 0.0826847 | + | 0.504355i | ||||
\(836\) | 1.73375 | + | 1.64230i | 0.0599631 | + | 0.0568001i | ||||
\(837\) | 0.180626 | − | 0.0835664i | 0.00624334 | − | 0.00288848i | ||||
\(838\) | −9.30448 | + | 7.07308i | −0.321418 | + | 0.244335i | ||||
\(839\) | 7.61346 | − | 46.4400i | 0.262846 | − | 1.60329i | −0.444071 | − | 0.895992i | \(-0.646466\pi\) |
0.706917 | − | 0.707297i | \(-0.250086\pi\) | |||||||
\(840\) | −2.63274 | + | 4.96587i | −0.0908381 | + | 0.171339i | ||||
\(841\) | −26.5643 | + | 5.84724i | −0.916010 | + | 0.201629i | ||||
\(842\) | −21.5462 | − | 9.96835i | −0.742532 | − | 0.343532i | ||||
\(843\) | −10.0515 | − | 25.2273i | −0.346191 | − | 0.868874i | ||||
\(844\) | 1.16987 | + | 21.5769i | 0.0402685 | + | 0.742709i | ||||
\(845\) | 17.4671 | + | 25.7620i | 0.600885 | + | 0.886239i | ||||
\(846\) | −7.57255 | − | 8.91510i | −0.260350 | − | 0.306507i | ||||
\(847\) | 9.38071 | + | 17.6939i | 0.322325 | + | 0.607969i | ||||
\(848\) | 0.400462 | − | 0.134931i | 0.0137519 | − | 0.00463356i | ||||
\(849\) | −0.700100 | + | 12.9126i | −0.0240274 | + | 0.443159i | ||||
\(850\) | −9.12343 | + | 5.48938i | −0.312931 | + | 0.188284i | ||||
\(851\) | −0.0118046 | − | 0.0425164i | −0.000404657 | − | 0.00145744i | ||||
\(852\) | 0.510764 | − | 1.83961i | 0.0174985 | − | 0.0630239i | ||||
\(853\) | −21.5198 | − | 12.9480i | −0.736823 | − | 0.443332i | 0.0970558 | − | 0.995279i | \(-0.469057\pi\) |
−0.833879 | + | 0.551947i | \(0.813885\pi\) | |||||||
\(854\) | −15.2648 | + | 22.5139i | −0.522351 | + | 0.770410i | ||||
\(855\) | −7.18438 | + | 0.781349i | −0.245701 | + | 0.0267216i | ||||
\(856\) | 13.2572 | − | 1.44181i | 0.453123 | − | 0.0492801i | ||||
\(857\) | −10.8760 | + | 16.0409i | −0.371516 | + | 0.547945i | −0.966788 | − | 0.255579i | \(-0.917734\pi\) |
0.595272 | + | 0.803524i | \(0.297044\pi\) | |||||||
\(858\) | 1.14869 | + | 0.691143i | 0.0392156 | + | 0.0235952i | ||||
\(859\) | −12.4218 | + | 44.7393i | −0.423827 | + | 1.52649i | 0.376210 | + | 0.926534i | \(0.377227\pi\) |
−0.800037 | + | 0.599951i | \(0.795187\pi\) | |||||||
\(860\) | −8.03046 | − | 28.9231i | −0.273837 | − | 0.986270i | ||||
\(861\) | 9.45168 | − | 5.68689i | 0.322112 | − | 0.193809i | ||||
\(862\) | 0.334319 | − | 6.16615i | 0.0113869 | − | 0.210020i | ||||
\(863\) | 21.8383 | − | 7.35817i | 0.743383 | − | 0.250475i | 0.0779758 | − | 0.996955i | \(-0.475154\pi\) |
0.665408 | + | 0.746480i | \(0.268258\pi\) | |||||||
\(864\) | 0.468408 | + | 0.883512i | 0.0159356 | + | 0.0300577i | ||||
\(865\) | −2.13038 | − | 2.50808i | −0.0724352 | − | 0.0852773i | ||||
\(866\) | −17.2909 | − | 25.5022i | −0.587569 | − | 0.866600i | ||||
\(867\) | 0.267287 | + | 4.92981i | 0.00907753 | + | 0.167425i | ||||
\(868\) | −0.145789 | − | 0.365902i | −0.00494839 | − | 0.0124195i | ||||
\(869\) | 7.23684 | + | 3.34812i | 0.245493 | + | 0.113577i | ||||
\(870\) | 3.72098 | − | 0.819050i | 0.126153 | − | 0.0277684i | ||||
\(871\) | 4.71265 | − | 8.88900i | 0.159682 | − | 0.301192i | ||||
\(872\) | −1.16821 | + | 7.12577i | −0.0395606 | + | 0.241309i | ||||
\(873\) | −8.07267 | + | 6.13669i | −0.273219 | + | 0.207695i | ||||
\(874\) | 0.0967251 | − | 0.0447498i | 0.00327178 | − | 0.00151368i | ||||
\(875\) | −7.89317 | − | 7.47681i | −0.266838 | − | 0.252762i | ||||
\(876\) | 0.548507 | + | 3.34575i | 0.0185323 | + | 0.113042i | ||||
\(877\) | −19.7127 | − | 6.64198i | −0.665650 | − | 0.224284i | −0.0338641 | − | 0.999426i | \(-0.510781\pi\) |
−0.631786 | + | 0.775143i | \(0.717678\pi\) | |||||||
\(878\) | −3.84054 | + | 9.63904i | −0.129612 | + | 0.325302i | ||||
\(879\) | −24.5910 | + | 23.2939i | −0.829435 | + | 0.785683i | ||||
\(880\) | −2.12185 | − | 1.61299i | −0.0715274 | − | 0.0543737i | ||||
\(881\) | 11.9082 | + | 2.62119i | 0.401197 | + | 0.0883101i | 0.410985 | − | 0.911642i | \(-0.365185\pi\) |
−0.00978834 | + | 0.999952i | \(0.503116\pi\) | |||||||
\(882\) | 1.99605 | − | 2.34993i | 0.0672105 | − | 0.0791263i | ||||
\(883\) | −6.41228 | − | 0.697377i | −0.215790 | − | 0.0234686i | −0.000414805 | − | 1.00000i | \(-0.500132\pi\) |
−0.215376 | + | 0.976531i | \(0.569098\pi\) | |||||||
\(884\) | −4.96124 | −0.166865 | ||||||||
\(885\) | 7.52411 | + | 20.4759i | 0.252920 | + | 0.688289i | ||||
\(886\) | 20.0382 | 0.673198 | ||||||||
\(887\) | −25.0248 | − | 2.72162i | −0.840252 | − | 0.0913829i | −0.322136 | − | 0.946693i | \(-0.604401\pi\) |
−0.518116 | + | 0.855310i | \(0.673366\pi\) | |||||||
\(888\) | 0.682044 | − | 0.802964i | 0.0228879 | − | 0.0269457i | ||||
\(889\) | 38.1975 | + | 8.40790i | 1.28110 | + | 0.281992i | ||||
\(890\) | 22.2814 | + | 16.9378i | 0.746873 | + | 0.567758i | ||||
\(891\) | 0.681340 | − | 0.645400i | 0.0228258 | − | 0.0216217i | ||||
\(892\) | −1.23270 | + | 3.09385i | −0.0412739 | + | 0.103590i | ||||
\(893\) | −28.2066 | − | 9.50392i | −0.943899 | − | 0.318036i | ||||
\(894\) | −0.783014 | − | 4.77618i | −0.0261879 | − | 0.159739i | ||||
\(895\) | −32.7215 | − | 30.9955i | −1.09376 | − | 1.03606i | ||||
\(896\) | 1.79616 | − | 0.830994i | 0.0600056 | − | 0.0277616i | ||||
\(897\) | 0.0476279 | − | 0.0362058i | 0.00159025 | − | 0.00120887i | ||||
\(898\) | −0.404370 | + | 2.46655i | −0.0134940 | + | 0.0823098i | ||||
\(899\) | −0.125064 | + | 0.235896i | −0.00417113 | + | 0.00786759i | ||||
\(900\) | 2.99398 | − | 0.659025i | 0.0997993 | − | 0.0219675i | ||||
\(901\) | 1.33205 | + | 0.616273i | 0.0443771 | + | 0.0205310i | ||||
\(902\) | 1.93612 | + | 4.85928i | 0.0644656 | + | 0.161796i | ||||
\(903\) | −1.13246 | − | 20.8870i | −0.0376860 | − | 0.695077i | ||||
\(904\) | 2.07845 | + | 3.06549i | 0.0691283 | + | 0.101957i | ||||
\(905\) | −4.19468 | − | 4.93836i | −0.139436 | − | 0.164157i | ||||
\(906\) | 5.29229 | + | 9.98233i | 0.175825 | + | 0.331641i | ||||
\(907\) | 42.0197 | − | 14.1581i | 1.39524 | − | 0.470112i | 0.481514 | − | 0.876439i | \(-0.340087\pi\) |
0.913728 | + | 0.406327i | \(0.133191\pi\) | |||||||
\(908\) | −0.640300 | + | 11.8096i | −0.0212491 | + | 0.391916i | ||||
\(909\) | 15.3187 | − | 9.21698i | 0.508091 | − | 0.305708i | ||||
\(910\) | 2.14791 | + | 7.73608i | 0.0712026 | + | 0.256449i | ||||
\(911\) | −2.71927 | + | 9.79391i | −0.0900933 | + | 0.324487i | −0.994839 | − | 0.101465i | \(-0.967647\pi\) |
0.904746 | + | 0.425952i | \(0.140061\pi\) | |||||||
\(912\) | 2.18038 | + | 1.31189i | 0.0721995 | + | 0.0434410i | ||||
\(913\) | 4.49043 | − | 6.62289i | 0.148612 | − | 0.219186i | ||||
\(914\) | −12.5685 | + | 1.36690i | −0.415728 | + | 0.0452131i | ||||
\(915\) | 38.8049 | − | 4.22029i | 1.28285 | − | 0.139518i | ||||
\(916\) | −1.85315 | + | 2.73319i | −0.0612299 | + | 0.0903073i | ||||
\(917\) | 14.8737 | + | 8.94919i | 0.491172 | + | 0.295528i | ||||
\(918\) | −0.929173 | + | 3.34658i | −0.0306673 | + | 0.110454i | ||||
\(919\) | −0.0793079 | − | 0.285641i | −0.00261612 | − | 0.00942243i | 0.962230 | − | 0.272236i | \(-0.0877633\pi\) |
−0.964847 | + | 0.262814i | \(0.915349\pi\) | |||||||
\(920\) | −0.101921 | + | 0.0613235i | −0.00336022 | + | 0.00202178i | ||||
\(921\) | −1.40274 | + | 25.8720i | −0.0462218 | + | 0.852510i | ||||
\(922\) | 33.1774 | − | 11.1788i | 1.09264 | − | 0.368153i | ||||
\(923\) | −1.27744 | − | 2.40950i | −0.0420473 | − | 0.0793096i | ||||
\(924\) | −1.20242 | − | 1.41560i | −0.0395568 | − | 0.0465698i | ||||
\(925\) | −1.81251 | − | 2.67325i | −0.0595948 | − | 0.0878958i | ||||
\(926\) | 0.204241 | + | 3.76701i | 0.00671178 | + | 0.123792i | ||||
\(927\) | −3.07397 | − | 7.71509i | −0.100963 | − | 0.253397i | ||||
\(928\) | −1.21757 | − | 0.563309i | −0.0399688 | − | 0.0184915i | ||||
\(929\) | −36.1602 | + | 7.95946i | −1.18638 | + | 0.261141i | −0.763962 | − | 0.645261i | \(-0.776749\pi\) |
−0.422415 | + | 0.906402i | \(0.638818\pi\) | |||||||
\(930\) | −0.264753 | + | 0.499378i | −0.00868160 | + | 0.0163752i | ||||
\(931\) | 1.26929 | − | 7.74233i | 0.0415993 | − | 0.253745i | ||||
\(932\) | −8.96410 | + | 6.81433i | −0.293629 | + | 0.223211i | ||||
\(933\) | 18.9561 | − | 8.77002i | 0.620595 | − | 0.287118i | ||||
\(934\) | 31.1555 | + | 29.5121i | 1.01944 | + | 0.965664i | ||||
\(935\) | −1.49764 | − | 9.13519i | −0.0489780 | − | 0.298753i | ||||
\(936\) | 1.35367 | + | 0.456105i | 0.0442461 | + | 0.0149083i | ||||
\(937\) | 4.53350 | − | 11.3782i | 0.148103 | − | 0.371710i | −0.836144 | − | 0.548510i | \(-0.815195\pi\) |
0.984247 | + | 0.176800i | \(0.0565745\pi\) | |||||||
\(938\) | −10.1199 | + | 9.58603i | −0.330425 | + | 0.312995i | ||||
\(939\) | 15.5723 | + | 11.8377i | 0.508182 | + | 0.386310i | ||||
\(940\) | 32.4432 | + | 7.14130i | 1.05818 | + | 0.232923i | ||||
\(941\) | −10.3251 | + | 12.1557i | −0.336589 | + | 0.396264i | −0.904253 | − | 0.426997i | \(-0.859572\pi\) |
0.567664 | + | 0.823261i | \(0.307847\pi\) | |||||||
\(942\) | 8.52850 | + | 0.927530i | 0.277874 | + | 0.0302206i | ||||
\(943\) | 0.233438 | 0.00760177 | ||||||||
\(944\) | 2.25407 | − | 7.34297i | 0.0733637 | − | 0.238993i | ||||
\(945\) | 5.62060 | 0.182838 | ||||||||
\(946\) | 9.86116 | + | 1.07247i | 0.320614 | + | 0.0348689i | ||||
\(947\) | 13.2076 | − | 15.5491i | 0.429188 | − | 0.505279i | −0.504478 | − | 0.863425i | \(-0.668315\pi\) |
0.933666 | + | 0.358145i | \(0.116591\pi\) | |||||||
\(948\) | 8.29777 | + | 1.82648i | 0.269499 | + | 0.0593213i | ||||
\(949\) | 3.85549 | + | 2.93087i | 0.125155 | + | 0.0951400i | ||||
\(950\) | 5.66343 | − | 5.36469i | 0.183746 | − | 0.174053i | ||||
\(951\) | −2.01235 | + | 5.05061i | −0.0652548 | + | 0.163777i | ||||
\(952\) | 6.51388 | + | 2.19478i | 0.211116 | + | 0.0711332i | ||||
\(953\) | 8.92532 | + | 54.4420i | 0.289119 | + | 1.76355i | 0.587616 | + | 0.809140i | \(0.300067\pi\) |
−0.298496 | + | 0.954411i | \(0.596485\pi\) | |||||||
\(954\) | −0.306793 | − | 0.290610i | −0.00993279 | − | 0.00940884i | ||||
\(955\) | −36.3413 | + | 16.8133i | −1.17598 | + | 0.544065i | ||||
\(956\) | −7.73119 | + | 5.87710i | −0.250045 | + | 0.190079i | ||||
\(957\) | −0.203691 | + | 1.24246i | −0.00658440 | + | 0.0401631i | ||||
\(958\) | 10.9271 | − | 20.6107i | 0.353039 | − | 0.665902i | ||||
\(959\) | −7.95163 | + | 1.75029i | −0.256772 | + | 0.0565197i | ||||
\(960\) | −2.57752 | − | 1.19249i | −0.0831892 | − | 0.0384874i | ||||
\(961\) | 11.4596 | + | 28.7615i | 0.369665 | + | 0.927790i | ||||
\(962\) | −0.0814746 | − | 1.50271i | −0.00262685 | − | 0.0484493i | ||||
\(963\) | −7.48366 | − | 11.0376i | −0.241158 | − | 0.355681i | ||||
\(964\) | 15.4712 | + | 18.2141i | 0.498295 | + | 0.586638i | ||||
\(965\) | 3.00576 | + | 5.66946i | 0.0967588 | + | 0.182506i | ||||
\(966\) | −0.0785500 | + | 0.0264666i | −0.00252730 | + | 0.000851548i | ||||
\(967\) | 1.44780 | − | 26.7030i | 0.0465580 | − | 0.858712i | −0.878232 | − | 0.478234i | \(-0.841277\pi\) |
0.924790 | − | 0.380477i | \(-0.124240\pi\) | |||||||
\(968\) | −8.67074 | + | 5.21701i | −0.278688 | + | 0.167681i | ||||
\(969\) | 2.36439 | + | 8.51577i | 0.0759552 | + | 0.273566i | ||||
\(970\) | 7.70448 | − | 27.7490i | 0.247376 | − | 0.890967i | ||||
\(971\) | 34.0696 | + | 20.4990i | 1.09335 | + | 0.657845i | 0.943669 | − | 0.330890i | \(-0.107349\pi\) |
0.149677 | + | 0.988735i | \(0.452177\pi\) | |||||||
\(972\) | 0.561187 | − | 0.827689i | 0.0180001 | − | 0.0265481i | ||||
\(973\) | 9.08289 | − | 0.987824i | 0.291184 | − | 0.0316682i | ||||
\(974\) | 25.8863 | − | 2.81531i | 0.829451 | − | 0.0902083i | ||||
\(975\) | 2.45750 | − | 3.62455i | 0.0787031 | − | 0.116078i | ||||
\(976\) | −11.7768 | − | 7.08589i | −0.376967 | − | 0.226814i | ||||
\(977\) | 6.61800 | − | 23.8359i | 0.211728 | − | 0.762577i | −0.779036 | − | 0.626980i | \(-0.784291\pi\) |
0.990764 | − | 0.135597i | \(-0.0432953\pi\) | |||||||
\(978\) | 1.18595 | + | 4.27142i | 0.0379226 | + | 0.136585i | ||||
\(979\) | −7.92495 | + | 4.76829i | −0.253283 | + | 0.152395i | ||||
\(980\) | −0.474064 | + | 8.74360i | −0.0151434 | + | 0.279304i | ||||
\(981\) | 6.84290 | − | 2.30564i | 0.218477 | − | 0.0736135i | ||||
\(982\) | 19.7876 | + | 37.3234i | 0.631449 | + | 1.19104i | ||||
\(983\) | 29.0002 | + | 34.1417i | 0.924963 | + | 1.08895i | 0.995808 | + | 0.0914629i | \(0.0291543\pi\) |
−0.0708459 | + | 0.997487i | \(0.522570\pi\) | |||||||
\(984\) | 3.12784 | + | 4.61322i | 0.0997120 | + | 0.147064i | ||||
\(985\) | 2.70419 | + | 49.8759i | 0.0861627 | + | 1.58918i | ||||
\(986\) | −1.72466 | − | 4.32856i | −0.0549242 | − | 0.137849i | ||||
\(987\) | 21.0099 | + | 9.72023i | 0.668754 | + | 0.309398i | ||||
\(988\) | 3.54987 | − | 0.781386i | 0.112936 | − | 0.0248592i | ||||
\(989\) | 0.207353 | − | 0.391108i | 0.00659343 | − | 0.0124365i | ||||
\(990\) | −0.431201 | + | 2.63021i | −0.0137045 | + | 0.0835936i | ||||
\(991\) | 43.6018 | − | 33.1452i | 1.38506 | − | 1.05289i | 0.394048 | − | 0.919090i | \(-0.371074\pi\) |
0.991008 | − | 0.133803i | \(-0.0427188\pi\) | |||||||
\(992\) | 0.180626 | − | 0.0835664i | 0.00573487 | − | 0.00265324i | ||||
\(993\) | −9.50287 | − | 9.00160i | −0.301564 | − | 0.285657i | ||||
\(994\) | 0.611286 | + | 3.72868i | 0.0193888 | + | 0.118266i | ||||
\(995\) | −18.4306 | − | 6.21000i | −0.584290 | − | 0.196870i | ||||
\(996\) | 3.15583 | − | 7.92055i | 0.0999964 | − | 0.250972i | ||||
\(997\) | 4.78052 | − | 4.52835i | 0.151401 | − | 0.143414i | −0.608250 | − | 0.793745i | \(-0.708128\pi\) |
0.759651 | + | 0.650331i | \(0.225370\pi\) | |||||||
\(998\) | 11.2953 | + | 8.58646i | 0.357546 | + | 0.271800i | ||||
\(999\) | −1.02890 | − | 0.226479i | −0.0325531 | − | 0.00716547i |
(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 | 354.2.e.b.181.2 | yes | 56 | |
59.15 | even | 29 | inner | 354.2.e.b.133.2 | ✓ | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
354.2.e.b.133.2 | ✓ | 56 | 59.15 | even | 29 | inner | |
354.2.e.b.181.2 | yes | 56 | 1.1 | even | 1 | trivial |