Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [384,2,Mod(11,384)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(384, base_ring=CyclotomicField(32))
chi = DirichletCharacter(H, H._module([16, 21, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("384.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 384 = 2^{7} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 384.w (of order \(32\), degree \(16\), 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: | \(3.06625543762\) |
Analytic rank: | \(0\) |
Dimension: | \(992\) |
Relative dimension: | \(62\) over \(\Q(\zeta_{32})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{32}]$ |
Embedding invariants
Embedding label | 323.27 | ||
Character | \(\chi\) | \(=\) | 384.323 |
Dual form | 384.2.w.a.107.27 |
$q$-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 \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(133\) | \(257\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{19}{32}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.348649 | + | 1.37056i | −0.246532 | + | 0.969135i | ||||
\(3\) | −1.71879 | + | 0.213919i | −0.992344 | + | 0.123506i | ||||
\(4\) | −1.75689 | − | 0.955692i | −0.878444 | − | 0.477846i | ||||
\(5\) | 2.82396 | + | 0.856639i | 1.26291 | + | 0.383101i | 0.849571 | − | 0.527475i | \(-0.176861\pi\) |
0.413343 | + | 0.910575i | \(0.364361\pi\) | |||||||
\(6\) | 0.306066 | − | 2.43029i | 0.124951 | − | 0.992163i | ||||
\(7\) | −0.0745750 | − | 0.374914i | −0.0281867 | − | 0.141704i | 0.964129 | − | 0.265433i | \(-0.0855148\pi\) |
−0.992316 | + | 0.123729i | \(0.960515\pi\) | |||||||
\(8\) | 1.92237 | − | 2.07472i | 0.679662 | − | 0.733526i | ||||
\(9\) | 2.90848 | − | 0.735362i | 0.969493 | − | 0.245121i | ||||
\(10\) | −2.15865 | + | 3.57175i | −0.682625 | + | 1.12949i | ||||
\(11\) | −0.231027 | − | 2.34566i | −0.0696573 | − | 0.707242i | −0.965068 | − | 0.262001i | \(-0.915618\pi\) |
0.895410 | − | 0.445242i | \(-0.146882\pi\) | |||||||
\(12\) | 3.22416 | + | 1.26680i | 0.930735 | + | 0.365695i | ||||
\(13\) | 3.12979 | − | 0.949411i | 0.868048 | − | 0.263319i | 0.175314 | − | 0.984513i | \(-0.443906\pi\) |
0.692734 | + | 0.721193i | \(0.256406\pi\) | |||||||
\(14\) | 0.539844 | + | 0.0285037i | 0.144279 | + | 0.00761795i | ||||
\(15\) | −5.03705 | − | 0.868285i | −1.30056 | − | 0.224190i | ||||
\(16\) | 2.17331 | + | 3.35809i | 0.543326 | + | 0.839522i | ||||
\(17\) | 0.745322 | + | 0.308723i | 0.180767 | + | 0.0748762i | 0.471231 | − | 0.882010i | \(-0.343810\pi\) |
−0.290464 | + | 0.956886i | \(0.593810\pi\) | |||||||
\(18\) | −0.00617823 | + | 4.24264i | −0.00145622 | + | 0.999999i | ||||
\(19\) | 0.936386 | + | 0.500509i | 0.214822 | + | 0.114825i | 0.575298 | − | 0.817944i | \(-0.304886\pi\) |
−0.360477 | + | 0.932768i | \(0.617386\pi\) | |||||||
\(20\) | −4.14270 | − | 4.20386i | −0.926335 | − | 0.940011i | ||||
\(21\) | 0.208380 | + | 0.628446i | 0.0454722 | + | 0.137138i | ||||
\(22\) | 3.29542 | + | 0.501175i | 0.702586 | + | 0.106851i | ||||
\(23\) | 5.22949 | + | 7.82648i | 1.09042 | + | 1.63193i | 0.705022 | + | 0.709185i | \(0.250937\pi\) |
0.385402 | + | 0.922749i | \(0.374063\pi\) | |||||||
\(24\) | −2.86034 | + | 3.97725i | −0.583863 | + | 0.811852i | ||||
\(25\) | 3.08357 | + | 2.06038i | 0.616715 | + | 0.412076i | ||||
\(26\) | 0.210029 | + | 4.62059i | 0.0411901 | + | 0.906172i | ||||
\(27\) | −4.84175 | + | 1.88611i | −0.931796 | + | 0.362982i | ||||
\(28\) | −0.227282 | + | 0.729952i | −0.0429523 | + | 0.137948i | ||||
\(29\) | −0.407758 | + | 4.14004i | −0.0757188 | + | 0.768786i | 0.880092 | + | 0.474803i | \(0.157481\pi\) |
−0.955811 | + | 0.293983i | \(0.905019\pi\) | |||||||
\(30\) | 2.94620 | − | 6.60086i | 0.537900 | − | 1.20515i | ||||
\(31\) | −2.67551 | − | 2.67551i | −0.480536 | − | 0.480536i | 0.424767 | − | 0.905303i | \(-0.360356\pi\) |
−0.905303 | + | 0.424767i | \(0.860356\pi\) | |||||||
\(32\) | −5.36019 | + | 1.80786i | −0.947557 | + | 0.319587i | ||||
\(33\) | 0.898867 | + | 3.98227i | 0.156473 | + | 0.693224i | ||||
\(34\) | −0.682980 | + | 0.913875i | −0.117130 | + | 0.156728i | ||||
\(35\) | 0.110569 | − | 1.12263i | 0.0186896 | − | 0.189759i | ||||
\(36\) | −5.81265 | − | 1.48766i | −0.968775 | − | 0.247943i | ||||
\(37\) | −5.34624 | + | 2.85762i | −0.878916 | + | 0.469791i | −0.848162 | − | 0.529736i | \(-0.822291\pi\) |
−0.0307540 | + | 0.999527i | \(0.509791\pi\) | |||||||
\(38\) | −1.01245 | + | 1.10887i | −0.164241 | + | 0.179883i | ||||
\(39\) | −5.17635 | + | 2.30136i | −0.828880 | + | 0.368512i | ||||
\(40\) | 7.20600 | − | 4.21216i | 1.13937 | − | 0.666000i | ||||
\(41\) | 1.74994 | + | 2.61897i | 0.273294 | + | 0.409014i | 0.942574 | − | 0.333996i | \(-0.108397\pi\) |
−0.669280 | + | 0.743010i | \(0.733397\pi\) | |||||||
\(42\) | −0.933976 | + | 0.0664907i | −0.144116 | + | 0.0102597i | ||||
\(43\) | 5.57238 | − | 6.78997i | 0.849780 | − | 1.03546i | −0.149131 | − | 0.988817i | \(-0.547648\pi\) |
0.998912 | − | 0.0466430i | \(-0.0148523\pi\) | |||||||
\(44\) | −1.83584 | + | 4.34185i | −0.276763 | + | 0.654558i | ||||
\(45\) | 8.84337 | + | 0.414881i | 1.31829 | + | 0.0618468i | ||||
\(46\) | −12.5499 | + | 4.43865i | −1.85039 | + | 0.654443i | ||||
\(47\) | 10.9974 | + | 4.55527i | 1.60413 | + | 0.664454i | 0.991993 | − | 0.126295i | \(-0.0403086\pi\) |
0.612141 | + | 0.790749i | \(0.290309\pi\) | |||||||
\(48\) | −4.45381 | − | 5.30693i | −0.642852 | − | 0.765990i | ||||
\(49\) | 6.33216 | − | 2.62287i | 0.904594 | − | 0.374695i | ||||
\(50\) | −3.89897 | + | 3.50788i | −0.551397 | + | 0.496090i | ||||
\(51\) | −1.34709 | − | 0.371191i | −0.188631 | − | 0.0519771i | ||||
\(52\) | −6.40603 | − | 1.32311i | −0.888357 | − | 0.183482i | ||||
\(53\) | −0.956915 | − | 9.71572i | −0.131442 | − | 1.33456i | −0.804052 | − | 0.594559i | \(-0.797327\pi\) |
0.672610 | − | 0.739998i | \(-0.265173\pi\) | |||||||
\(54\) | −0.896960 | − | 7.29352i | −0.122061 | − | 0.992523i | ||||
\(55\) | 1.35697 | − | 6.82195i | 0.182974 | − | 0.919871i | ||||
\(56\) | −0.921204 | − | 0.566002i | −0.123101 | − | 0.0756353i | ||||
\(57\) | −1.71652 | − | 0.659959i | −0.227359 | − | 0.0874137i | ||||
\(58\) | −5.53202 | − | 2.00228i | −0.726390 | − | 0.262912i | ||||
\(59\) | −11.2313 | − | 3.40698i | −1.46219 | − | 0.443552i | −0.543798 | − | 0.839216i | \(-0.683014\pi\) |
−0.918395 | + | 0.395664i | \(0.870514\pi\) | |||||||
\(60\) | 8.01971 | + | 6.33934i | 1.03534 | + | 0.818406i | ||||
\(61\) | 1.86997 | + | 2.27857i | 0.239425 | + | 0.291741i | 0.878835 | − | 0.477125i | \(-0.158321\pi\) |
−0.639410 | + | 0.768866i | \(0.720821\pi\) | |||||||
\(62\) | 4.59978 | − | 2.73414i | 0.584172 | − | 0.347237i | ||||
\(63\) | −0.492598 | − | 1.03559i | −0.0620615 | − | 0.130472i | ||||
\(64\) | −0.608955 | − | 7.97679i | −0.0761194 | − | 0.997099i | ||||
\(65\) | 9.65171 | 1.19715 | ||||||||
\(66\) | −5.77134 | − | 0.156463i | −0.710403 | − | 0.0192592i | ||||
\(67\) | 1.44003 | − | 1.18180i | 0.175928 | − | 0.144380i | −0.542309 | − | 0.840179i | \(-0.682450\pi\) |
0.718236 | + | 0.695799i | \(0.244950\pi\) | |||||||
\(68\) | −1.01440 | − | 1.25469i | −0.123014 | − | 0.152153i | ||||
\(69\) | −10.6626 | − | 12.3334i | −1.28363 | − | 1.48477i | ||||
\(70\) | 1.50008 | + | 0.542945i | 0.179294 | + | 0.0648943i | ||||
\(71\) | 0.884109 | + | 4.44472i | 0.104924 | + | 0.527491i | 0.997120 | + | 0.0758414i | \(0.0241643\pi\) |
−0.892195 | + | 0.451650i | \(0.850836\pi\) | |||||||
\(72\) | 4.06551 | − | 7.44793i | 0.479125 | − | 0.877747i | ||||
\(73\) | 3.73126 | + | 0.742195i | 0.436711 | + | 0.0868673i | 0.408550 | − | 0.912736i | \(-0.366035\pi\) |
0.0281617 | + | 0.999603i | \(0.491035\pi\) | |||||||
\(74\) | −2.05259 | − | 8.32367i | −0.238609 | − | 0.967607i | ||||
\(75\) | −5.74077 | − | 2.88172i | −0.662887 | − | 0.332753i | ||||
\(76\) | −1.16679 | − | 1.77423i | −0.133840 | − | 0.203519i | ||||
\(77\) | −0.862191 | + | 0.261543i | −0.0982558 | + | 0.0298056i | ||||
\(78\) | −1.34943 | − | 7.89689i | −0.152792 | − | 0.894147i | ||||
\(79\) | −0.353489 | − | 0.853397i | −0.0397706 | − | 0.0960147i | 0.902746 | − | 0.430174i | \(-0.141548\pi\) |
−0.942517 | + | 0.334159i | \(0.891548\pi\) | |||||||
\(80\) | 3.26066 | + | 11.3448i | 0.364553 | + | 1.26839i | ||||
\(81\) | 7.91848 | − | 4.27757i | 0.879832 | − | 0.475286i | ||||
\(82\) | −4.19957 | + | 1.48530i | −0.463765 | + | 0.164024i | ||||
\(83\) | 6.40718 | + | 3.42471i | 0.703280 | + | 0.375911i | 0.783945 | − | 0.620830i | \(-0.213204\pi\) |
−0.0806651 | + | 0.996741i | \(0.525704\pi\) | |||||||
\(84\) | 0.234500 | − | 1.30325i | 0.0255861 | − | 0.142197i | ||||
\(85\) | 1.84030 | + | 1.51029i | 0.199608 | + | 0.163814i | ||||
\(86\) | 7.36327 | + | 10.0046i | 0.794002 | + | 1.07883i | ||||
\(87\) | −0.184781 | − | 7.20308i | −0.0198106 | − | 0.772251i | ||||
\(88\) | −5.31071 | − | 4.02991i | −0.566124 | − | 0.429590i | ||||
\(89\) | −5.43895 | − | 3.63419i | −0.576528 | − | 0.385224i | 0.232849 | − | 0.972513i | \(-0.425195\pi\) |
−0.809377 | + | 0.587289i | \(0.800195\pi\) | |||||||
\(90\) | −3.65186 | + | 11.9757i | −0.384939 | + | 1.26235i | ||||
\(91\) | −0.589352 | − | 1.10260i | −0.0617809 | − | 0.115584i | ||||
\(92\) | −1.70791 | − | 18.7480i | −0.178062 | − | 1.95462i | ||||
\(93\) | 5.17099 | + | 4.02630i | 0.536206 | + | 0.417508i | ||||
\(94\) | −10.0775 | + | 13.4844i | −1.03942 | + | 1.39081i | ||||
\(95\) | 2.21556 | + | 2.21556i | 0.227312 | + | 0.227312i | ||||
\(96\) | 8.82631 | − | 4.25397i | 0.900831 | − | 0.434169i | ||||
\(97\) | −8.45955 | + | 8.45955i | −0.858938 | + | 0.858938i | −0.991213 | − | 0.132275i | \(-0.957772\pi\) |
0.132275 | + | 0.991213i | \(0.457772\pi\) | |||||||
\(98\) | 1.38710 | + | 9.59308i | 0.140118 | + | 0.969048i | ||||
\(99\) | −2.39684 | − | 6.65240i | −0.240892 | − | 0.668592i | ||||
\(100\) | −3.44841 | − | 6.56680i | −0.344841 | − | 0.656680i | ||||
\(101\) | −13.9516 | + | 7.45729i | −1.38824 | + | 0.742028i | −0.984916 | − | 0.173031i | \(-0.944644\pi\) |
−0.403321 | + | 0.915059i | \(0.632144\pi\) | |||||||
\(102\) | 0.978404 | − | 1.71686i | 0.0968764 | − | 0.169995i | ||||
\(103\) | 6.72740 | − | 10.0683i | 0.662871 | − | 0.992056i | −0.335871 | − | 0.941908i | \(-0.609031\pi\) |
0.998742 | − | 0.0501480i | \(-0.0159693\pi\) | |||||||
\(104\) | 4.04686 | − | 8.31857i | 0.396827 | − | 0.815703i | ||||
\(105\) | 0.0501058 | + | 1.95321i | 0.00488982 | + | 0.190614i | ||||
\(106\) | 13.6496 | + | 2.07587i | 1.32577 | + | 0.201626i | ||||
\(107\) | −1.56733 | + | 1.90980i | −0.151519 | + | 0.184627i | −0.843238 | − | 0.537540i | \(-0.819354\pi\) |
0.691719 | + | 0.722167i | \(0.256854\pi\) | |||||||
\(108\) | 10.3090 | + | 1.31354i | 0.991980 | + | 0.126396i | ||||
\(109\) | 8.59594 | − | 16.0819i | 0.823342 | − | 1.54036i | −0.0179852 | − | 0.999838i | \(-0.505725\pi\) |
0.841327 | − | 0.540526i | \(-0.181775\pi\) | |||||||
\(110\) | 8.87681 | + | 4.23828i | 0.846370 | + | 0.404104i | ||||
\(111\) | 8.57776 | − | 6.05532i | 0.814165 | − | 0.574745i | ||||
\(112\) | 1.09692 | − | 1.06523i | 0.103649 | − | 0.100655i | ||||
\(113\) | −9.26952 | + | 3.83956i | −0.872003 | + | 0.361195i | −0.773390 | − | 0.633931i | \(-0.781440\pi\) |
−0.0986127 | + | 0.995126i | \(0.531440\pi\) | |||||||
\(114\) | 1.50298 | − | 2.12250i | 0.140767 | − | 0.198791i | ||||
\(115\) | 8.06340 | + | 26.5815i | 0.751916 | + | 2.47873i | ||||
\(116\) | 4.67299 | − | 6.88389i | 0.433876 | − | 0.639153i | ||||
\(117\) | 8.40476 | − | 5.06287i | 0.777021 | − | 0.468063i | ||||
\(118\) | 8.58528 | − | 14.2054i | 0.790339 | − | 1.30771i | ||||
\(119\) | 0.0601620 | − | 0.302455i | 0.00551504 | − | 0.0277260i | ||||
\(120\) | −11.4845 | + | 8.78131i | −1.04839 | + | 0.801620i | ||||
\(121\) | 5.33991 | − | 1.06217i | 0.485446 | − | 0.0965612i | ||||
\(122\) | −3.77489 | + | 1.76849i | −0.341762 | + | 0.160112i | ||||
\(123\) | −3.56802 | − | 4.12711i | −0.321718 | − | 0.372129i | ||||
\(124\) | 2.14361 | + | 7.25754i | 0.192502 | + | 0.651746i | ||||
\(125\) | −2.41768 | − | 2.94595i | −0.216244 | − | 0.263494i | ||||
\(126\) | 1.59108 | − | 0.314078i | 0.141745 | − | 0.0279803i | ||||
\(127\) | − | 2.76012i | − | 0.244921i | −0.992473 | − | 0.122461i | \(-0.960921\pi\) | ||
0.992473 | − | 0.122461i | \(-0.0390786\pi\) | |||||||
\(128\) | 11.1450 | + | 1.94649i | 0.985089 | + | 0.172047i | ||||
\(129\) | −8.12525 | + | 12.8626i | −0.715389 | + | 1.13249i | ||||
\(130\) | −3.36506 | + | 13.2283i | −0.295135 | + | 1.16020i | ||||
\(131\) | −16.0246 | + | 13.1511i | −1.40008 | + | 1.14902i | −0.430974 | + | 0.902364i | \(0.641830\pi\) |
−0.969104 | + | 0.246651i | \(0.920670\pi\) | |||||||
\(132\) | 2.22662 | − | 7.85544i | 0.193802 | − | 0.683728i | ||||
\(133\) | 0.117817 | − | 0.388390i | 0.0102160 | − | 0.0336777i | ||||
\(134\) | 1.11767 | + | 2.38569i | 0.0965520 | + | 0.206092i | ||||
\(135\) | −15.2886 | + | 1.17867i | −1.31584 | + | 0.101444i | ||||
\(136\) | 2.07330 | − | 0.952857i | 0.177784 | − | 0.0817068i | ||||
\(137\) | 2.71768 | + | 0.540581i | 0.232187 | + | 0.0461849i | 0.309812 | − | 0.950798i | \(-0.399734\pi\) |
−0.0776251 | + | 0.996983i | \(0.524734\pi\) | |||||||
\(138\) | 20.6212 | − | 10.3138i | 1.75539 | − | 0.877966i | ||||
\(139\) | −10.8020 | + | 1.06391i | −0.916216 | + | 0.0902394i | −0.545123 | − | 0.838356i | \(-0.683517\pi\) |
−0.371093 | + | 0.928596i | \(0.621017\pi\) | |||||||
\(140\) | −1.26714 | + | 1.86666i | −0.107093 | + | 0.157761i | ||||
\(141\) | −19.8767 | − | 5.47700i | −1.67392 | − | 0.461247i | ||||
\(142\) | −6.40001 | − | 0.337920i | −0.537077 | − | 0.0283577i | ||||
\(143\) | −2.95006 | − | 7.12207i | −0.246696 | − | 0.595578i | ||||
\(144\) | 8.79042 | + | 8.16875i | 0.732535 | + | 0.680729i | ||||
\(145\) | −4.69801 | + | 11.3420i | −0.390149 | + | 0.941902i | ||||
\(146\) | −2.31813 | + | 4.85517i | −0.191850 | + | 0.401817i | ||||
\(147\) | −10.3226 | + | 5.86272i | −0.851391 | + | 0.483549i | ||||
\(148\) | 12.1237 | + | 0.0888349i | 0.996566 | + | 0.00730218i | ||||
\(149\) | −13.1553 | − | 10.7963i | −1.07772 | − | 0.884465i | −0.0840160 | − | 0.996464i | \(-0.526775\pi\) |
−0.993708 | + | 0.111999i | \(0.964275\pi\) | |||||||
\(150\) | 5.95110 | − | 6.86338i | 0.485905 | − | 0.560392i | ||||
\(151\) | −2.48099 | + | 1.65774i | −0.201900 | + | 0.134905i | −0.652410 | − | 0.757866i | \(-0.726242\pi\) |
0.450510 | + | 0.892771i | \(0.351242\pi\) | |||||||
\(152\) | 2.83850 | − | 0.980577i | 0.230233 | − | 0.0795353i | ||||
\(153\) | 2.39478 | + | 0.349831i | 0.193606 | + | 0.0282821i | ||||
\(154\) | −0.0578585 | − | 1.27287i | −0.00466237 | − | 0.102571i | ||||
\(155\) | −5.26359 | − | 9.84749i | −0.422782 | − | 0.790970i | ||||
\(156\) | 11.2937 | + | 0.903773i | 0.904217 | + | 0.0723597i | ||||
\(157\) | 8.91691 | + | 0.878239i | 0.711647 | + | 0.0700911i | 0.447361 | − | 0.894353i | \(-0.352364\pi\) |
0.264286 | + | 0.964444i | \(0.414864\pi\) | |||||||
\(158\) | 1.29288 | − | 0.186942i | 0.102856 | − | 0.0148723i | ||||
\(159\) | 3.72311 | + | 16.4946i | 0.295262 | + | 1.30811i | ||||
\(160\) | −16.6857 | + | 0.513569i | −1.31912 | + | 0.0406012i | ||||
\(161\) | 2.54427 | − | 2.54427i | 0.200516 | − | 0.200516i | ||||
\(162\) | 3.10191 | + | 12.3442i | 0.243709 | + | 0.969848i | ||||
\(163\) | −20.2689 | − | 1.99631i | −1.58758 | − | 0.156363i | −0.734672 | − | 0.678422i | \(-0.762664\pi\) |
−0.852909 | + | 0.522059i | \(0.825164\pi\) | |||||||
\(164\) | −0.571517 | − | 6.27363i | −0.0446280 | − | 0.489888i | ||||
\(165\) | −0.873004 | + | 12.0158i | −0.0679633 | + | 0.935427i | ||||
\(166\) | −6.92764 | + | 7.58743i | −0.537689 | + | 0.588899i | ||||
\(167\) | 4.06363 | − | 6.08165i | 0.314453 | − | 0.470612i | −0.640253 | − | 0.768165i | \(-0.721170\pi\) |
0.954705 | + | 0.297552i | \(0.0961703\pi\) | |||||||
\(168\) | 1.70443 | + | 0.775777i | 0.131500 | + | 0.0598525i | ||||
\(169\) | −1.91490 | + | 1.27950i | −0.147300 | + | 0.0984228i | ||||
\(170\) | −2.71157 | + | 1.99568i | −0.207968 | + | 0.153062i | ||||
\(171\) | 3.09151 | + | 0.767136i | 0.236414 | + | 0.0586643i | ||||
\(172\) | −16.2792 | + | 6.60373i | −1.24127 | + | 0.503529i | ||||
\(173\) | 11.1741 | − | 20.9053i | 0.849550 | − | 1.58940i | 0.0423626 | − | 0.999102i | \(-0.486512\pi\) |
0.807188 | − | 0.590295i | \(-0.200988\pi\) | |||||||
\(174\) | 9.93670 | + | 2.25810i | 0.753300 | + | 0.171186i | ||||
\(175\) | 0.542507 | − | 1.30973i | 0.0410097 | − | 0.0990062i | ||||
\(176\) | 7.37483 | − | 5.87364i | 0.555898 | − | 0.442742i | ||||
\(177\) | 20.0331 | + | 3.45330i | 1.50578 | + | 0.259566i | ||||
\(178\) | 6.87718 | − | 6.18737i | 0.515466 | − | 0.463763i | ||||
\(179\) | −0.653940 | − | 2.15575i | −0.0488778 | − | 0.161128i | 0.929104 | − | 0.369818i | \(-0.120580\pi\) |
−0.977982 | + | 0.208690i | \(0.933080\pi\) | |||||||
\(180\) | −15.1403 | − | 9.18043i | −1.12849 | − | 0.684269i | ||||
\(181\) | −17.7644 | + | 1.74964i | −1.32042 | + | 0.130050i | −0.733552 | − | 0.679633i | \(-0.762139\pi\) |
−0.586867 | + | 0.809683i | \(0.699639\pi\) | |||||||
\(182\) | 1.71666 | − | 0.423323i | 0.127247 | − | 0.0313788i | ||||
\(183\) | −3.70152 | − | 3.51636i | −0.273624 | − | 0.259937i | ||||
\(184\) | 26.2908 | + | 4.19568i | 1.93818 | + | 0.309310i | ||||
\(185\) | −17.5455 | + | 3.49002i | −1.28997 | + | 0.256591i | ||||
\(186\) | −7.32116 | + | 5.68340i | −0.536814 | + | 0.416727i | ||||
\(187\) | 0.551968 | − | 1.81959i | 0.0403639 | − | 0.133062i | ||||
\(188\) | −14.9677 | − | 18.5132i | −1.09163 | − | 1.35021i | ||||
\(189\) | 1.06820 | + | 1.67458i | 0.0777004 | + | 0.121808i | ||||
\(190\) | −3.80902 | + | 2.26411i | −0.276336 | + | 0.164256i | ||||
\(191\) | 0.443876i | 0.0321177i | 0.999871 | + | 0.0160589i | \(0.00511191\pi\) | ||||
−0.999871 | + | 0.0160589i | \(0.994888\pi\) | |||||||
\(192\) | 2.75305 | + | 13.5802i | 0.198684 | + | 0.980064i | ||||
\(193\) | 0.693338i | 0.0499076i | 0.999689 | + | 0.0249538i | \(0.00794386\pi\) | ||||
−0.999689 | + | 0.0249538i | \(0.992056\pi\) | |||||||
\(194\) | −8.64494 | − | 14.5438i | −0.620670 | − | 1.04418i | ||||
\(195\) | −16.5893 | + | 2.06468i | −1.18798 | + | 0.147855i | ||||
\(196\) | −13.6315 | − | 1.44351i | −0.973681 | − | 0.103108i | ||||
\(197\) | −2.76860 | + | 9.12685i | −0.197255 | + | 0.650261i | 0.801387 | + | 0.598147i | \(0.204096\pi\) |
−0.998641 | + | 0.0521143i | \(0.983404\pi\) | |||||||
\(198\) | 9.95320 | − | 0.965672i | 0.707343 | − | 0.0686273i | ||||
\(199\) | 0.0877509 | − | 0.0174547i | 0.00622049 | − | 0.00123733i | −0.191979 | − | 0.981399i | \(-0.561491\pi\) |
0.198200 | + | 0.980162i | \(0.436491\pi\) | |||||||
\(200\) | 10.2025 | − | 2.43675i | 0.721426 | − | 0.172304i | ||||
\(201\) | −2.22230 | + | 2.33932i | −0.156749 | + | 0.165003i | ||||
\(202\) | −5.35647 | − | 21.7215i | −0.376880 | − | 1.52832i | ||||
\(203\) | 1.58257 | − | 0.155869i | 0.111074 | − | 0.0109399i | ||||
\(204\) | 2.01195 | + | 1.93955i | 0.140865 | + | 0.135795i | ||||
\(205\) | 2.69824 | + | 8.89492i | 0.188454 | + | 0.621248i | ||||
\(206\) | 11.4537 | + | 12.7306i | 0.798017 | + | 0.886985i | ||||
\(207\) | 20.9652 | + | 18.9176i | 1.45718 | + | 1.31486i | ||||
\(208\) | 9.99019 | + | 8.44674i | 0.692695 | + | 0.585676i | ||||
\(209\) | 0.957692 | − | 2.31207i | 0.0662449 | − | 0.159929i | ||||
\(210\) | −2.69447 | − | 0.612313i | −0.185936 | − | 0.0422536i | ||||
\(211\) | −8.99333 | + | 16.8253i | −0.619126 | + | 1.15830i | 0.355545 | + | 0.934659i | \(0.384295\pi\) |
−0.974671 | + | 0.223644i | \(0.928205\pi\) | |||||||
\(212\) | −7.60405 | + | 17.9839i | −0.522248 | + | 1.23514i | ||||
\(213\) | −2.47041 | − | 7.45041i | −0.169269 | − | 0.510494i | ||||
\(214\) | −2.07105 | − | 2.81397i | −0.141574 | − | 0.192359i | ||||
\(215\) | 21.5527 | − | 14.4011i | 1.46988 | − | 0.982146i | ||||
\(216\) | −5.39450 | + | 13.6711i | −0.367050 | + | 0.930201i | ||||
\(217\) | −0.803561 | + | 1.20261i | −0.0545493 | + | 0.0816388i | ||||
\(218\) | 19.0443 | + | 17.3882i | 1.28984 | + | 1.17768i | ||||
\(219\) | −6.57203 | − | 0.477490i | −0.444096 | − | 0.0322658i | ||||
\(220\) | −8.90373 | + | 10.6885i | −0.600289 | + | 0.720622i | ||||
\(221\) | 2.62581 | + | 0.258619i | 0.176631 | + | 0.0173966i | ||||
\(222\) | 5.30856 | + | 13.8675i | 0.356287 | + | 0.930729i | ||||
\(223\) | 9.32342 | − | 9.32342i | 0.624342 | − | 0.624342i | −0.322296 | − | 0.946639i | \(-0.604455\pi\) |
0.946639 | + | 0.322296i | \(0.104455\pi\) | |||||||
\(224\) | 1.07753 | + | 1.87479i | 0.0719953 | + | 0.125265i | ||||
\(225\) | 10.4836 | + | 3.72502i | 0.698909 | + | 0.248335i | ||||
\(226\) | −2.03055 | − | 14.0431i | −0.135070 | − | 0.934134i | ||||
\(227\) | 25.2847 | + | 2.49033i | 1.67821 | + | 0.165289i | 0.891803 | − | 0.452425i | \(-0.149441\pi\) |
0.786403 | + | 0.617714i | \(0.211941\pi\) | |||||||
\(228\) | 2.38501 | + | 2.79994i | 0.157951 | + | 0.185430i | ||||
\(229\) | 2.61511 | + | 4.89254i | 0.172812 | + | 0.323308i | 0.953385 | − | 0.301756i | \(-0.0975728\pi\) |
−0.780573 | + | 0.625064i | \(0.785073\pi\) | |||||||
\(230\) | −39.2429 | + | 1.78379i | −2.58760 | + | 0.117619i | ||||
\(231\) | 1.42598 | − | 0.633976i | 0.0938223 | − | 0.0417125i | ||||
\(232\) | 7.80557 | + | 8.80469i | 0.512461 | + | 0.578056i | ||||
\(233\) | −18.9899 | + | 12.6886i | −1.24407 | + | 0.831260i | −0.990694 | − | 0.136109i | \(-0.956540\pi\) |
−0.253374 | + | 0.967368i | \(0.581540\pi\) | |||||||
\(234\) | 4.00867 | + | 13.2844i | 0.262055 | + | 0.868430i | ||||
\(235\) | 27.1540 | + | 22.2847i | 1.77133 | + | 1.45369i | ||||
\(236\) | 16.4761 | + | 16.7194i | 1.07251 | + | 1.08834i | ||||
\(237\) | 0.790130 | + | 1.39119i | 0.0513245 | + | 0.0903677i | ||||
\(238\) | 0.393558 | + | 0.187906i | 0.0255106 | + | 0.0121802i | ||||
\(239\) | 0.648295 | − | 1.56512i | 0.0419347 | − | 0.101239i | −0.901524 | − | 0.432728i | \(-0.857551\pi\) |
0.943459 | + | 0.331489i | \(0.107551\pi\) | |||||||
\(240\) | −8.03126 | − | 18.8019i | −0.518416 | − | 1.21366i | ||||
\(241\) | 7.09867 | + | 17.1377i | 0.457265 | + | 1.10394i | 0.969500 | + | 0.245091i | \(0.0788177\pi\) |
−0.512235 | + | 0.858845i | \(0.671182\pi\) | |||||||
\(242\) | −0.405979 | + | 7.68900i | −0.0260973 | + | 0.494268i | ||||
\(243\) | −12.6952 | + | 9.04616i | −0.814395 | + | 0.580311i | ||||
\(244\) | −1.10772 | − | 5.79031i | −0.0709146 | − | 0.370686i | ||||
\(245\) | 20.1286 | − | 1.98250i | 1.28597 | − | 0.126657i | ||||
\(246\) | 6.90045 | − | 3.45128i | 0.439957 | − | 0.220046i | ||||
\(247\) | 3.40588 | + | 0.677472i | 0.216711 | + | 0.0431065i | ||||
\(248\) | −10.6943 | + | 0.407613i | −0.679088 | + | 0.0258834i | ||||
\(249\) | −11.7452 | − | 4.51574i | −0.744323 | − | 0.286174i | ||||
\(250\) | 4.88053 | − | 2.28648i | 0.308672 | − | 0.144610i | ||||
\(251\) | 7.14486 | − | 23.5534i | 0.450980 | − | 1.48668i | −0.377154 | − | 0.926150i | \(-0.623097\pi\) |
0.828134 | − | 0.560530i | \(-0.189403\pi\) | |||||||
\(252\) | −0.124266 | + | 2.29019i | −0.00782804 | + | 0.144268i | ||||
\(253\) | 17.1501 | − | 14.0747i | 1.07822 | − | 0.884870i | ||||
\(254\) | 3.78293 | + | 0.962316i | 0.237362 | + | 0.0603811i | ||||
\(255\) | −3.48616 | − | 2.20220i | −0.218312 | − | 0.137907i | ||||
\(256\) | −6.55349 | + | 14.5963i | −0.409593 | + | 0.912268i | ||||
\(257\) | − | 3.95566i | − | 0.246747i | −0.992360 | − | 0.123374i | \(-0.960629\pi\) | ||
0.992360 | − | 0.123374i | \(-0.0393714\pi\) | |||||||
\(258\) | −14.7961 | − | 15.6207i | −0.921165 | − | 0.972502i | ||||
\(259\) | 1.47006 | + | 1.79127i | 0.0913451 | + | 0.111304i | ||||
\(260\) | −16.9570 | − | 9.22406i | −1.05163 | − | 0.572052i | ||||
\(261\) | 1.85847 | + | 12.3411i | 0.115037 | + | 0.763892i | ||||
\(262\) | −12.4374 | − | 26.5479i | −0.768385 | − | 1.64013i | ||||
\(263\) | −11.3600 | + | 2.25965i | −0.700488 | + | 0.139336i | −0.532471 | − | 0.846448i | \(-0.678736\pi\) |
−0.168017 | + | 0.985784i | \(0.553736\pi\) | |||||||
\(264\) | 9.99007 | + | 5.79051i | 0.614846 | + | 0.356381i | ||||
\(265\) | 5.62058 | − | 28.2565i | 0.345269 | − | 1.73579i | ||||
\(266\) | 0.491236 | + | 0.296887i | 0.0301196 | + | 0.0182033i | ||||
\(267\) | 10.1258 | + | 5.08292i | 0.619691 | + | 0.311070i | ||||
\(268\) | −3.65941 | + | 0.700068i | −0.223534 | + | 0.0427635i | ||||
\(269\) | −7.91740 | − | 26.1002i | −0.482733 | − | 1.59136i | −0.772997 | − | 0.634410i | \(-0.781243\pi\) |
0.290265 | − | 0.956946i | \(-0.406257\pi\) | |||||||
\(270\) | 3.71494 | − | 21.3650i | 0.226084 | − | 1.30023i | ||||
\(271\) | −22.5640 | + | 9.34632i | −1.37067 | + | 0.567748i | −0.941969 | − | 0.335700i | \(-0.891027\pi\) |
−0.428697 | + | 0.903448i | \(0.641027\pi\) | |||||||
\(272\) | 0.583096 | + | 3.17380i | 0.0353554 | + | 0.192440i | ||||
\(273\) | 1.24884 | + | 1.76906i | 0.0755832 | + | 0.107069i | ||||
\(274\) | −1.68842 | + | 3.53628i | −0.102001 | + | 0.213635i | ||||
\(275\) | 4.12055 | − | 7.70901i | 0.248479 | − | 0.464871i | ||||
\(276\) | 6.94610 | + | 31.8586i | 0.418106 | + | 1.91766i | ||||
\(277\) | 10.4104 | − | 12.6851i | 0.625499 | − | 0.762172i | −0.359797 | − | 0.933031i | \(-0.617154\pi\) |
0.985296 | + | 0.170858i | \(0.0546540\pi\) | |||||||
\(278\) | 2.30797 | − | 15.1758i | 0.138423 | − | 0.910183i | ||||
\(279\) | −9.74914 | − | 5.81420i | −0.583666 | − | 0.348087i | ||||
\(280\) | −2.11658 | − | 2.38751i | −0.126490 | − | 0.142681i | ||||
\(281\) | −11.2093 | + | 16.7759i | −0.668691 | + | 1.00077i | 0.329701 | + | 0.944085i | \(0.393052\pi\) |
−0.998392 | + | 0.0566819i | \(0.981948\pi\) | |||||||
\(282\) | 14.4366 | − | 25.3327i | 0.859684 | − | 1.50854i | ||||
\(283\) | 14.4709 | − | 7.73483i | 0.860203 | − | 0.459788i | 0.0185635 | − | 0.999828i | \(-0.494091\pi\) |
0.841640 | + | 0.540039i | \(0.181591\pi\) | |||||||
\(284\) | 2.69450 | − | 8.65380i | 0.159889 | − | 0.513509i | ||||
\(285\) | −4.28204 | − | 3.33414i | −0.253646 | − | 0.197497i | ||||
\(286\) | 10.7898 | − | 1.56014i | 0.638014 | − | 0.0922528i | ||||
\(287\) | 0.851385 | − | 0.851385i | 0.0502557 | − | 0.0502557i | ||||
\(288\) | −14.2606 | + | 9.19980i | −0.840312 | + | 0.542103i | ||||
\(289\) | −11.5606 | − | 11.5606i | −0.680036 | − | 0.680036i | ||||
\(290\) | −13.9070 | − | 10.3933i | −0.816646 | − | 0.610316i | ||||
\(291\) | 12.7305 | − | 16.3499i | 0.746278 | − | 0.958445i | ||||
\(292\) | −5.84610 | − | 4.86989i | −0.342117 | − | 0.284989i | ||||
\(293\) | 5.04047 | + | 9.43006i | 0.294468 | + | 0.550910i | 0.985034 | − | 0.172359i | \(-0.0551388\pi\) |
−0.690567 | + | 0.723269i | \(0.742639\pi\) | |||||||
\(294\) | −4.43627 | − | 16.1918i | −0.258729 | − | 0.944323i | ||||
\(295\) | −28.7983 | − | 19.2424i | −1.67670 | − | 1.12033i | ||||
\(296\) | −4.34869 | + | 16.5854i | −0.252763 | + | 0.964006i | ||||
\(297\) | 5.54275 | + | 10.9214i | 0.321623 | + | 0.633721i | ||||
\(298\) | 19.3836 | − | 14.2661i | 1.12286 | − | 0.826411i | ||||
\(299\) | 23.7978 | + | 19.5303i | 1.37626 | + | 1.12947i | ||||
\(300\) | 7.33185 | + | 10.5493i | 0.423304 | + | 0.609063i | ||||
\(301\) | −2.96122 | − | 1.58280i | −0.170682 | − | 0.0912312i | ||||
\(302\) | −1.40705 | − | 3.97832i | −0.0809664 | − | 0.228927i | ||||
\(303\) | 22.3846 | − | 15.8020i | 1.28596 | − | 0.907803i | ||||
\(304\) | 0.354301 | + | 4.23222i | 0.0203206 | + | 0.242735i | ||||
\(305\) | 3.32882 | + | 8.03648i | 0.190608 | + | 0.460167i | ||||
\(306\) | −1.31440 | + | 3.16022i | −0.0751394 | + | 0.180658i | ||||
\(307\) | −1.40050 | + | 0.424838i | −0.0799309 | + | 0.0242468i | −0.329997 | − | 0.943982i | \(-0.607048\pi\) |
0.250066 | + | 0.968229i | \(0.419548\pi\) | |||||||
\(308\) | 1.76473 | + | 0.364488i | 0.100555 | + | 0.0207686i | ||||
\(309\) | −9.40920 | + | 18.7444i | −0.535271 | + | 1.06633i | ||||
\(310\) | 15.3318 | − | 3.78077i | 0.870785 | − | 0.214733i | ||||
\(311\) | 12.1369 | + | 2.41417i | 0.688218 | + | 0.136895i | 0.526798 | − | 0.849991i | \(-0.323393\pi\) |
0.161420 | + | 0.986886i | \(0.448393\pi\) | |||||||
\(312\) | −5.17621 | + | 15.1636i | −0.293045 | + | 0.858469i | ||||
\(313\) | 1.43263 | + | 7.20230i | 0.0809768 | + | 0.407098i | 0.999919 | + | 0.0127064i | \(0.00404467\pi\) |
−0.918942 | + | 0.394392i | \(0.870955\pi\) | |||||||
\(314\) | −4.31256 | + | 11.9150i | −0.243372 | + | 0.672402i | ||||
\(315\) | −0.503950 | − | 3.34644i | −0.0283943 | − | 0.188551i | ||||
\(316\) | −0.194545 | + | 1.83715i | −0.0109440 | + | 0.103348i | ||||
\(317\) | −10.2020 | + | 8.37253i | −0.572999 | + | 0.470248i | −0.875712 | − | 0.482834i | \(-0.839608\pi\) |
0.302713 | + | 0.953082i | \(0.402108\pi\) | |||||||
\(318\) | −23.9049 | − | 0.648068i | −1.34052 | − | 0.0363419i | ||||
\(319\) | 9.80531 | 0.548992 | ||||||||
\(320\) | 5.11356 | − | 23.0478i | 0.285857 | − | 1.28841i | ||||
\(321\) | 2.28537 | − | 3.61782i | 0.127557 | − | 0.201927i | ||||
\(322\) | 2.60002 | + | 4.37414i | 0.144894 | + | 0.243761i | ||||
\(323\) | 0.543391 | + | 0.662124i | 0.0302351 | + | 0.0368416i | ||||
\(324\) | −17.9999 | − | 0.0524240i | −0.999996 | − | 0.00291244i | ||||
\(325\) | 11.6071 | + | 3.52097i | 0.643845 | + | 0.195308i | ||||
\(326\) | 9.80280 | − | 27.0838i | 0.542927 | − | 1.50003i | ||||
\(327\) | −11.3344 | + | 29.4802i | −0.626794 | + | 1.63026i | ||||
\(328\) | 8.79766 | + | 1.40400i | 0.485770 | + | 0.0775227i | ||||
\(329\) | 0.887703 | − | 4.46278i | 0.0489406 | − | 0.246041i | ||||
\(330\) | −16.1640 | − | 5.38580i | −0.889800 | − | 0.296479i | ||||
\(331\) | −2.36854 | − | 24.0482i | −0.130187 | − | 1.32181i | −0.809135 | − | 0.587623i | \(-0.800064\pi\) |
0.678948 | − | 0.734186i | \(-0.262436\pi\) | |||||||
\(332\) | −7.98373 | − | 12.1401i | −0.438164 | − | 0.666276i | ||||
\(333\) | −13.4480 | + | 12.2428i | −0.736947 | + | 0.670899i | ||||
\(334\) | 6.91850 | + | 7.68982i | 0.378564 | + | 0.420768i | ||||
\(335\) | 5.07897 | − | 2.10378i | 0.277494 | − | 0.114942i | ||||
\(336\) | −1.65750 | + | 2.06556i | −0.0904241 | + | 0.112686i | ||||
\(337\) | −29.2503 | − | 12.1159i | −1.59337 | − | 0.659994i | −0.602909 | − | 0.797810i | \(-0.705992\pi\) |
−0.990458 | + | 0.137816i | \(0.955992\pi\) | |||||||
\(338\) | −1.08600 | − | 3.07059i | −0.0590707 | − | 0.167018i | ||||
\(339\) | 15.1110 | − | 8.58232i | 0.820717 | − | 0.466128i | ||||
\(340\) | −1.78982 | − | 4.41217i | −0.0970666 | − | 0.239284i | ||||
\(341\) | −5.65772 | + | 6.89395i | −0.306383 | + | 0.373328i | ||||
\(342\) | −2.12926 | + | 3.96965i | −0.115137 | + | 0.214654i | ||||
\(343\) | −2.94217 | − | 4.40327i | −0.158862 | − | 0.237754i | ||||
\(344\) | −3.37510 | − | 24.6140i | −0.181973 | − | 1.32710i | ||||
\(345\) | −19.5456 | − | 43.9630i | −1.05230 | − | 2.36689i | ||||
\(346\) | 24.7561 | + | 22.6034i | 1.33090 | + | 1.21517i | ||||
\(347\) | −7.38226 | + | 3.94590i | −0.396300 | + | 0.211827i | −0.657494 | − | 0.753459i | \(-0.728384\pi\) |
0.261194 | + | 0.965286i | \(0.415884\pi\) | |||||||
\(348\) | −6.55929 | + | 12.8316i | −0.351615 | + | 0.687846i | ||||
\(349\) | −0.687998 | + | 6.98536i | −0.0368277 | + | 0.373918i | 0.959052 | + | 0.283231i | \(0.0914062\pi\) |
−0.995879 | + | 0.0906868i | \(0.971094\pi\) | |||||||
\(350\) | 1.60592 | + | 1.20018i | 0.0858401 | + | 0.0641521i | ||||
\(351\) | −13.3630 | + | 10.4999i | −0.713263 | + | 0.560446i | ||||
\(352\) | 5.47896 | + | 12.1555i | 0.292030 | + | 0.647891i | ||||
\(353\) | −10.6551 | − | 10.6551i | −0.567111 | − | 0.567111i | 0.364207 | − | 0.931318i | \(-0.381340\pi\) |
−0.931318 | + | 0.364207i | \(0.881340\pi\) | |||||||
\(354\) | −11.7175 | + | 26.2526i | −0.622778 | + | 1.39531i | ||||
\(355\) | −1.31083 | + | 13.3091i | −0.0695716 | + | 0.706372i | ||||
\(356\) | 6.08246 | + | 11.5828i | 0.322370 | + | 0.613889i | ||||
\(357\) | −0.0387051 | + | 0.532726i | −0.00204849 | + | 0.0281948i | ||||
\(358\) | 3.18259 | − | 0.144665i | 0.168205 | − | 0.00764577i | ||||
\(359\) | −19.1233 | − | 12.7778i | −1.00929 | − | 0.674384i | −0.0631010 | − | 0.998007i | \(-0.520099\pi\) |
−0.946186 | + | 0.323623i | \(0.895099\pi\) | |||||||
\(360\) | 17.8610 | − | 17.5500i | 0.941359 | − | 0.924965i | ||||
\(361\) | −9.92952 | − | 14.8606i | −0.522607 | − | 0.782136i | ||||
\(362\) | 3.79556 | − | 24.9573i | 0.199490 | − | 1.31173i | ||||
\(363\) | −8.95096 | + | 2.96796i | −0.469803 | + | 0.155777i | ||||
\(364\) | −0.0183212 | + | 2.50038i | −0.000960290 | + | 0.131056i | ||||
\(365\) | 9.90115 | + | 5.29227i | 0.518250 | + | 0.277010i | ||||
\(366\) | 6.10992 | − | 3.84719i | 0.319371 | − | 0.201096i | ||||
\(367\) | 16.7221 | + | 6.92652i | 0.872886 | + | 0.361561i | 0.773734 | − | 0.633511i | \(-0.218387\pi\) |
0.0991525 | + | 0.995072i | \(0.468387\pi\) | |||||||
\(368\) | −14.9167 | + | 34.5704i | −0.777588 | + | 1.80211i | ||||
\(369\) | 7.01554 | + | 6.33037i | 0.365215 | + | 0.329546i | ||||
\(370\) | 1.33394 | − | 25.2640i | 0.0693483 | − | 1.31341i | ||||
\(371\) | −3.57120 | + | 1.08331i | −0.185407 | + | 0.0562427i | ||||
\(372\) | −5.23693 | − | 12.0156i | −0.271522 | − | 0.622981i | ||||
\(373\) | −1.56010 | − | 15.8399i | −0.0807787 | − | 0.820160i | −0.947157 | − | 0.320771i | \(-0.896058\pi\) |
0.866378 | − | 0.499389i | \(-0.166442\pi\) | |||||||
\(374\) | 2.30142 | + | 1.39091i | 0.119004 | + | 0.0719221i | ||||
\(375\) | 4.78567 | + | 4.54628i | 0.247131 | + | 0.234769i | ||||
\(376\) | 30.5920 | − | 14.0596i | 1.57766 | − | 0.725069i | ||||
\(377\) | 2.65440 | + | 13.3446i | 0.136709 | + | 0.687281i | ||||
\(378\) | −2.66755 | + | 0.880198i | −0.137204 | + | 0.0452725i | ||||
\(379\) | 34.3932 | + | 10.4331i | 1.76666 | + | 0.535911i | 0.994978 | − | 0.100096i | \(-0.0319150\pi\) |
0.771683 | + | 0.636007i | \(0.219415\pi\) | |||||||
\(380\) | −1.77510 | − | 6.00989i | −0.0910606 | − | 0.308301i | ||||
\(381\) | 0.590442 | + | 4.74407i | 0.0302493 | + | 0.243046i | ||||
\(382\) | −0.608360 | − | 0.154757i | −0.0311264 | − | 0.00791806i | ||||
\(383\) | 3.75605 | 0.191925 | 0.0959627 | − | 0.995385i | \(-0.469407\pi\) | ||||
0.0959627 | + | 0.995385i | \(0.469407\pi\) | |||||||
\(384\) | −19.5723 | − | 0.961484i | −0.998796 | − | 0.0490655i | ||||
\(385\) | −2.65884 | −0.135507 | ||||||||
\(386\) | −0.950263 | − | 0.241732i | −0.0483671 | − | 0.0123038i | ||||
\(387\) | 11.2141 | − | 23.8462i | 0.570043 | − | 1.21217i | ||||
\(388\) | 22.9472 | − | 6.77775i | 1.16497 | − | 0.344088i | ||||
\(389\) | −16.3846 | − | 4.97021i | −0.830732 | − | 0.252000i | −0.153853 | − | 0.988094i | \(-0.549168\pi\) |
−0.676879 | + | 0.736094i | \(0.736668\pi\) | |||||||
\(390\) | 2.95406 | − | 23.4565i | 0.149585 | − | 1.18776i | ||||
\(391\) | 1.48144 | + | 7.44771i | 0.0749197 | + | 0.376647i | ||||
\(392\) | 6.73106 | − | 18.1796i | 0.339970 | − | 0.918209i | ||||
\(393\) | 24.7297 | − | 26.0319i | 1.24745 | − | 1.31314i | ||||
\(394\) | −11.5437 | − | 6.97661i | −0.581561 | − | 0.351477i | ||||
\(395\) | −0.267185 | − | 2.71277i | −0.0134435 | − | 0.136494i | ||||
\(396\) | −2.14666 | + | 13.9782i | −0.107874 | + | 0.702429i | ||||
\(397\) | −28.4080 | + | 8.61747i | −1.42576 | + | 0.432499i | −0.906531 | − | 0.422139i | \(-0.861280\pi\) |
−0.519226 | + | 0.854637i | \(0.673780\pi\) | |||||||
\(398\) | −0.00667147 | + | 0.126354i | −0.000334411 | + | 0.00633354i | ||||
\(399\) | −0.119418 | + | 0.692764i | −0.00597840 | + | 0.0346816i | ||||
\(400\) | −0.217381 | + | 14.8327i | −0.0108690 | + | 0.741637i | ||||
\(401\) | −6.91704 | − | 2.86513i | −0.345420 | − | 0.143078i | 0.203227 | − | 0.979132i | \(-0.434857\pi\) |
−0.548647 | + | 0.836054i | \(0.684857\pi\) | |||||||
\(402\) | −2.43138 | − | 3.86141i | −0.121266 | − | 0.192589i | ||||
\(403\) | −10.9140 | − | 5.83363i | −0.543663 | − | 0.290594i | ||||
\(404\) | 31.6383 | + | 0.231825i | 1.57406 | + | 0.0115337i | ||||
\(405\) | 26.0258 | − | 5.29641i | 1.29323 | − | 0.263181i | ||||
\(406\) | −0.338132 | + | 2.22335i | −0.0167812 | + | 0.110343i | ||||
\(407\) | 7.93813 | + | 11.8803i | 0.393479 | + | 0.588882i | ||||
\(408\) | −3.35974 | + | 2.08128i | −0.166332 | + | 0.103039i | ||||
\(409\) | −18.2744 | − | 12.2105i | −0.903609 | − | 0.603772i | 0.0145893 | − | 0.999894i | \(-0.495356\pi\) |
−0.918198 | + | 0.396121i | \(0.870356\pi\) | |||||||
\(410\) | −13.1318 | + | 0.596906i | −0.648533 | + | 0.0294791i | ||||
\(411\) | −4.78677 | − | 0.347782i | −0.236114 | − | 0.0171548i | ||||
\(412\) | −21.4414 | + | 11.2595i | −1.05634 | + | 0.554715i | ||||
\(413\) | −0.439750 | + | 4.46486i | −0.0216387 | + | 0.219701i | ||||
\(414\) | −33.2372 | + | 22.1385i | −1.63352 | + | 1.08805i | ||||
\(415\) | 15.1599 | + | 15.1599i | 0.744170 | + | 0.744170i | ||||
\(416\) | −15.0599 | + | 10.7472i | −0.738371 | + | 0.526927i | ||||
\(417\) | 18.3388 | − | 4.13939i | 0.898056 | − | 0.202707i | ||||
\(418\) | 2.83494 | + | 2.11868i | 0.138662 | + | 0.103628i | ||||
\(419\) | −2.09861 | + | 21.3075i | −0.102524 | + | 1.04094i | 0.796974 | + | 0.604014i | \(0.206433\pi\) |
−0.899497 | + | 0.436926i | \(0.856067\pi\) | |||||||
\(420\) | 1.77864 | − | 3.47946i | 0.0867887 | − | 0.169780i | ||||
\(421\) | −9.27719 | + | 4.95876i | −0.452143 | + | 0.241675i | −0.681717 | − | 0.731616i | \(-0.738767\pi\) |
0.229575 | + | 0.973291i | \(0.426267\pi\) | |||||||
\(422\) | −19.9247 | − | 18.1921i | −0.969918 | − | 0.885576i | ||||
\(423\) | 35.3354 | + | 5.16183i | 1.71807 | + | 0.250977i | ||||
\(424\) | −21.9970 | − | 16.6919i | −1.06827 | − | 0.810631i | ||||
\(425\) | 1.66217 | + | 2.48762i | 0.0806272 | + | 0.120667i | ||||
\(426\) | 11.0726 | − | 0.788267i | 0.536467 | − | 0.0381917i | ||||
\(427\) | 0.714814 | − | 0.871003i | 0.0345923 | − | 0.0421508i | ||||
\(428\) | 4.57880 | − | 1.85741i | 0.221325 | − | 0.0897814i | ||||
\(429\) | 6.59408 | + | 11.6103i | 0.318365 | + | 0.560549i | ||||
\(430\) | 12.2232 | + | 34.5603i | 0.589457 | + | 1.66665i | ||||
\(431\) | −23.0634 | − | 9.55318i | −1.11093 | − | 0.460161i | −0.249670 | − | 0.968331i | \(-0.580322\pi\) |
−0.861257 | + | 0.508170i | \(0.830322\pi\) | |||||||
\(432\) | −16.8563 | − | 12.1599i | −0.811001 | − | 0.585045i | ||||
\(433\) | 17.0872 | − | 7.07774i | 0.821158 | − | 0.340135i | 0.0677615 | − | 0.997702i | \(-0.478414\pi\) |
0.753396 | + | 0.657567i | \(0.228414\pi\) | |||||||
\(434\) | −1.36810 | − | 1.52062i | −0.0656708 | − | 0.0729922i | ||||
\(435\) | 5.64863 | − | 20.4995i | 0.270831 | − | 0.982876i | ||||
\(436\) | −30.4714 | + | 20.0390i | −1.45932 | + | 0.959693i | ||||
\(437\) | 0.979597 | + | 9.94602i | 0.0468605 | + | 0.475782i | ||||
\(438\) | 2.94576 | − | 8.84090i | 0.140754 | − | 0.422435i | ||||
\(439\) | 5.79699 | − | 29.1434i | 0.276675 | − | 1.39094i | −0.553227 | − | 0.833030i | \(-0.686604\pi\) |
0.829902 | − | 0.557909i | \(-0.188396\pi\) | |||||||
\(440\) | −11.5451 | − | 15.9297i | −0.550389 | − | 0.759418i | ||||
\(441\) | 16.4882 | − | 12.2850i | 0.785152 | − | 0.584999i | ||||
\(442\) | −1.26994 | + | 3.50867i | −0.0604049 | + | 0.166890i | ||||
\(443\) | −19.7550 | − | 5.99262i | −0.938589 | − | 0.284718i | −0.216314 | − | 0.976324i | \(-0.569404\pi\) |
−0.722275 | + | 0.691606i | \(0.756904\pi\) | |||||||
\(444\) | −20.8572 | + | 2.44081i | −0.989838 | + | 0.115836i | ||||
\(445\) | −12.2462 | − | 14.9220i | −0.580525 | − | 0.707372i | ||||
\(446\) | 9.52773 | + | 16.0289i | 0.451151 | + | 0.758992i | ||||
\(447\) | 24.9207 | + | 15.7424i | 1.17871 | + | 0.744588i | ||||
\(448\) | −2.94520 | + | 0.823175i | −0.139148 | + | 0.0388914i | ||||
\(449\) | −1.12173 | −0.0529377 | −0.0264689 | − | 0.999650i | \(-0.508426\pi\) | ||||
−0.0264689 | + | 0.999650i | \(0.508426\pi\) | |||||||
\(450\) | −8.76049 | + | 13.0698i | −0.412973 | + | 0.616114i | ||||
\(451\) | 5.73891 | − | 4.70980i | 0.270235 | − | 0.221776i | ||||
\(452\) | 19.9549 | + | 2.11313i | 0.938601 | + | 0.0993933i | ||||
\(453\) | 3.90967 | − | 3.38004i | 0.183693 | − | 0.158808i | ||||
\(454\) | −12.2287 | + | 33.7861i | −0.573919 | + | 1.58566i | ||||
\(455\) | −0.719776 | − | 3.61856i | −0.0337436 | − | 0.169641i | ||||
\(456\) | −4.66903 | + | 2.29262i | −0.218647 | + | 0.107362i | ||||
\(457\) | 14.7080 | + | 2.92560i | 0.688011 | + | 0.136854i | 0.526702 | − | 0.850050i | \(-0.323428\pi\) |
0.161309 | + | 0.986904i | \(0.448428\pi\) | |||||||
\(458\) | −7.61729 | + | 1.87840i | −0.355932 | + | 0.0877719i | ||||
\(459\) | −4.19095 | − | 0.0889983i | −0.195617 | − | 0.00415408i | ||||
\(460\) | 11.2372 | − | 54.4068i | 0.523938 | − | 2.53673i | ||||
\(461\) | 24.5718 | − | 7.45377i | 1.14442 | − | 0.347157i | 0.339540 | − | 0.940592i | \(-0.389729\pi\) |
0.804882 | + | 0.593435i | \(0.202229\pi\) | |||||||
\(462\) | 0.371738 | + | 2.17543i | 0.0172948 | + | 0.101210i | ||||
\(463\) | 2.11651 | + | 5.10971i | 0.0983627 | + | 0.237469i | 0.965399 | − | 0.260776i | \(-0.0839783\pi\) |
−0.867037 | + | 0.498244i | \(0.833978\pi\) | |||||||
\(464\) | −14.7888 | + | 7.62828i | −0.686552 | + | 0.354134i | ||||
\(465\) | 11.1536 | + | 15.7998i | 0.517235 | + | 0.732698i | ||||
\(466\) | −10.7698 | − | 30.4507i | −0.498899 | − | 1.41060i | ||||
\(467\) | 15.0368 | + | 8.03731i | 0.695818 | + | 0.371922i | 0.781076 | − | 0.624436i | \(-0.214671\pi\) |
−0.0852576 | + | 0.996359i | \(0.527171\pi\) | |||||||
\(468\) | −19.6048 | + | 0.862530i | −0.906231 | + | 0.0398704i | ||||
\(469\) | −0.550465 | − | 0.451755i | −0.0254181 | − | 0.0208601i | ||||
\(470\) | −40.0098 | + | 29.4467i | −1.84551 | + | 1.35827i | ||||
\(471\) | −15.5142 | + | 0.397985i | −0.714855 | + | 0.0183382i | ||||
\(472\) | −28.6594 | + | 16.7524i | −1.31915 | + | 0.771091i | ||||
\(473\) | −17.2143 | − | 11.5022i | −0.791515 | − | 0.528873i | ||||
\(474\) | −2.18220 | + | 0.597885i | −0.100232 | + | 0.0274618i | ||||
\(475\) | 1.85618 | + | 3.47267i | 0.0851673 | + | 0.159337i | ||||
\(476\) | −0.394751 | + | 0.473883i | −0.0180934 | + | 0.0217204i | ||||
\(477\) | −9.92774 | − | 27.5543i | −0.454560 | − | 1.26162i | ||||
\(478\) | 1.91907 | + | 1.43421i | 0.0877763 | + | 0.0655992i | ||||
\(479\) | 6.10055 | + | 6.10055i | 0.278741 | + | 0.278741i | 0.832606 | − | 0.553865i | \(-0.186848\pi\) |
−0.553865 | + | 0.832606i | \(0.686848\pi\) | |||||||
\(480\) | 28.5693 | − | 4.45209i | 1.30400 | − | 0.203209i | ||||
\(481\) | −14.0195 | + | 14.0195i | −0.639236 | + | 0.639236i | ||||
\(482\) | −25.9632 | + | 3.75412i | −1.18259 | + | 0.170996i | ||||
\(483\) | −3.82880 | + | 4.91733i | −0.174216 | + | 0.223746i | ||||
\(484\) | −10.3967 | − | 3.23719i | −0.472578 | − | 0.147145i | ||||
\(485\) | −31.1362 | + | 16.6427i | −1.41382 | + | 0.755704i | ||||
\(486\) | −7.97217 | − | 20.5535i | −0.361625 | − | 0.932324i | ||||
\(487\) | −17.2089 | + | 25.7549i | −0.779808 | + | 1.16706i | 0.202406 | + | 0.979302i | \(0.435124\pi\) |
−0.982214 | + | 0.187763i | \(0.939876\pi\) | |||||||
\(488\) | 8.32219 | + | 0.500584i | 0.376728 | + | 0.0226604i | ||||
\(489\) | 35.2650 | − | 0.904653i | 1.59474 | − | 0.0409098i | ||||
\(490\) | −4.30069 | + | 28.2787i | −0.194286 | + | 1.27750i | ||||
\(491\) | 1.27731 | − | 1.55640i | 0.0576440 | − | 0.0702395i | −0.743390 | − | 0.668858i | \(-0.766783\pi\) |
0.801034 | + | 0.598618i | \(0.204283\pi\) | |||||||
\(492\) | 2.32436 | + | 10.6608i | 0.104790 | + | 0.480626i | ||||
\(493\) | −1.58203 | + | 2.95978i | −0.0712512 | + | 0.133302i | ||||
\(494\) | −2.11598 | + | 4.43178i | −0.0952023 | + | 0.199395i | ||||
\(495\) | −1.06989 | − | 20.8394i | −0.0480879 | − | 0.936659i | ||||
\(496\) | 3.16990 | − | 14.7993i | 0.142333 | − | 0.664509i | ||||
\(497\) | 1.60045 | − | 0.662930i | 0.0717902 | − | 0.0297365i | ||||
\(498\) | 10.2841 | − | 14.5231i | 0.460840 | − | 0.650798i | ||||
\(499\) | 0.344410 | + | 1.13537i | 0.0154179 | + | 0.0508261i | 0.964312 | − | 0.264769i | \(-0.0852958\pi\) |
−0.948894 | + | 0.315595i | \(0.897796\pi\) | |||||||
\(500\) | 1.43217 | + | 7.48626i | 0.0640485 | + | 0.334796i | ||||
\(501\) | −5.68354 | + | 11.3224i | −0.253922 | + | 0.505846i | ||||
\(502\) | 29.7904 | + | 18.0044i | 1.32961 | + | 0.803575i | ||||
\(503\) | −1.17666 | + | 5.91545i | −0.0524645 | + | 0.263757i | −0.998111 | − | 0.0614402i | \(-0.980431\pi\) |
0.945646 | + | 0.325197i | \(0.105431\pi\) | |||||||
\(504\) | −3.09552 | − | 0.968787i | −0.137885 | − | 0.0431532i | ||||
\(505\) | −45.7870 | + | 9.10760i | −2.03749 | + | 0.405283i | ||||
\(506\) | 13.3109 | + | 28.4124i | 0.591742 | + | 1.26309i | ||||
\(507\) | 3.01761 | − | 2.60882i | 0.134017 | − | 0.115862i | ||||
\(508\) | −2.63783 | + | 4.84923i | −0.117035 | + | 0.215150i | ||||
\(509\) | 9.04475 | + | 11.0211i | 0.400901 | + | 0.488500i | 0.933859 | − | 0.357642i | \(-0.116419\pi\) |
−0.532957 | + | 0.846142i | \(0.678919\pi\) | |||||||
\(510\) | 4.23371 | − | 4.01021i | 0.187472 | − | 0.177575i | ||||
\(511\) | − | 1.45425i | − | 0.0643323i | ||||||
\(512\) | −17.7203 | − | 14.0710i | −0.783133 | − | 0.621854i | ||||
\(513\) | −5.47777 | − | 0.657212i | −0.241849 | − | 0.0290166i | ||||
\(514\) | 5.42149 | + | 1.37914i | 0.239132 | + | 0.0608312i | ||||
\(515\) | 27.6228 | − | 22.6694i | 1.21721 | − | 0.998935i | ||||
\(516\) | 26.5678 | − | 14.8328i | 1.16958 | − | 0.652979i | ||||
\(517\) | 8.14440 | − | 26.8485i | 0.358190 | − | 1.18079i | ||||
\(518\) | −2.96759 | + | 1.39028i | −0.130388 | + | 0.0610855i | ||||
\(519\) | −14.7339 | + | 38.3221i | −0.646746 | + | 1.68215i | ||||
\(520\) | 18.5542 | − | 20.0246i | 0.813655 | − | 0.878138i | ||||
\(521\) | 33.6360 | + | 6.69061i | 1.47362 | + | 0.293121i | 0.865574 | − | 0.500782i | \(-0.166954\pi\) |
0.608045 | + | 0.793903i | \(0.291954\pi\) | |||||||
\(522\) | −17.5622 | − | 1.75555i | −0.768675 | − | 0.0768382i | ||||
\(523\) | −14.2368 | + | 1.40220i | −0.622531 | + | 0.0613139i | −0.404365 | − | 0.914598i | \(-0.632507\pi\) |
−0.218166 | + | 0.975912i | \(0.570007\pi\) | |||||||
\(524\) | 40.7219 | − | 7.79034i | 1.77894 | − | 0.340323i | ||||
\(525\) | −0.652281 | + | 2.36720i | −0.0284679 | + | 0.103313i | ||||
\(526\) | 0.863672 | − | 16.3574i | 0.0376579 | − | 0.713218i | ||||
\(527\) | −1.16813 | − | 2.82011i | −0.0508845 | − | 0.122846i | ||||
\(528\) | −11.4193 | + | 11.6732i | −0.496961 | + | 0.508009i | ||||
\(529\) | −25.1046 | + | 60.6078i | −1.09150 | + | 2.63512i | ||||
\(530\) | 36.7678 | + | 17.5550i | 1.59709 | + | 0.762540i | ||||
\(531\) | −35.1714 | − | 1.65005i | −1.52631 | − | 0.0716059i | ||||
\(532\) | −0.578172 | + | 0.569761i | −0.0250669 | + | 0.0247023i | ||||
\(533\) | 7.96341 | + | 6.53540i | 0.344934 | + | 0.283080i | ||||
\(534\) | −10.4968 | + | 12.1059i | −0.454242 | + | 0.523875i | ||||
\(535\) | −6.06208 | + | 4.05055i | −0.262087 | + | 0.175121i | ||||
\(536\) | 0.316364 | − | 5.25953i | 0.0136648 | − | 0.227177i | ||||
\(537\) | 1.58514 | + | 3.56539i | 0.0684039 | + | 0.153858i | ||||
\(538\) | 38.5323 | − | 1.75149i | 1.66125 | − | 0.0755121i | ||||
\(539\) | −7.61524 | − | 14.2471i | −0.328012 | − | 0.613667i | ||||
\(540\) | 27.9869 | + | 12.5404i | 1.20436 | + | 0.539655i | ||||
\(541\) | 35.5269 | + | 3.49910i | 1.52742 | + | 0.150438i | 0.826556 | − | 0.562855i | \(-0.190297\pi\) |
0.700866 | + | 0.713293i | \(0.252797\pi\) | |||||||
\(542\) | −4.94279 | − | 34.1840i | −0.212311 | − | 1.46833i | ||||
\(543\) | 30.1590 | − | 6.80741i | 1.29425 | − | 0.292134i | ||||
\(544\) | −4.55320 | − | 0.307376i | −0.195217 | − | 0.0131786i | ||||
\(545\) | 38.0510 | − | 38.0510i | 1.62992 | − | 1.62992i | ||||
\(546\) | −2.86002 | + | 1.09483i | −0.122398 | + | 0.0468544i | ||||
\(547\) | 6.76477 | + | 0.666271i | 0.289241 | + | 0.0284877i | 0.241597 | − | 0.970377i | \(-0.422329\pi\) |
0.0476436 | + | 0.998864i | \(0.484829\pi\) | |||||||
\(548\) | −4.25803 | − | 3.54701i | −0.181894 | − | 0.151521i | ||||
\(549\) | 7.11435 | + | 5.25206i | 0.303633 | + | 0.224152i | ||||
\(550\) | 9.12906 | + | 8.33522i | 0.389264 | + | 0.355415i | ||||
\(551\) | −2.45394 | + | 3.67259i | −0.104542 | + | 0.156458i | ||||
\(552\) | −46.0859 | − | 1.58740i | −1.96155 | − | 0.0675644i | ||||
\(553\) | −0.293589 | + | 0.196170i | −0.0124847 | + | 0.00834200i | ||||
\(554\) | 13.7561 | + | 18.6907i | 0.584442 | + | 0.794093i | ||||
\(555\) | 29.4105 | − | 9.75193i | 1.24841 | − | 0.413946i | ||||
\(556\) | 19.9947 | + | 8.45424i | 0.847964 | + | 0.358540i | ||||
\(557\) | −3.25158 | + | 6.08328i | −0.137774 | + | 0.257757i | −0.941341 | − | 0.337458i | \(-0.890433\pi\) |
0.803567 | + | 0.595215i | \(0.202933\pi\) | |||||||
\(558\) | 11.3678 | − | 11.3347i | 0.481236 | − | 0.479836i | ||||
\(559\) | 10.9939 | − | 26.5417i | 0.464993 | − | 1.12259i | ||||
\(560\) | 4.01018 | − | 2.06851i | 0.169461 | − | 0.0874105i | ||||
\(561\) | −0.559471 | + | 3.24557i | −0.0236209 | + | 0.137028i | ||||
\(562\) | −19.0843 | − | 21.2120i | −0.805024 | − | 0.894773i | ||||
\(563\) | 8.10167 | + | 26.7076i | 0.341445 | + | 1.12559i | 0.944670 | + | 0.328021i | \(0.106382\pi\) |
−0.603226 | + | 0.797571i | \(0.706118\pi\) | |||||||
\(564\) | 29.6867 | + | 28.6184i | 1.25004 | + | 1.20505i | ||||
\(565\) | −29.4659 | + | 2.90213i | −1.23964 | + | 0.122094i | ||||
\(566\) | 5.55582 | + | 22.5300i | 0.233529 | + | 0.947005i | ||||
\(567\) | −2.19424 | − | 2.64975i | −0.0921495 | − | 0.111279i | ||||
\(568\) | 10.9211 | + | 6.71013i | 0.458241 | + | 0.281551i | ||||
\(569\) | 23.7851 | − | 4.73116i | 0.997125 | − | 0.198340i | 0.330558 | − | 0.943786i | \(-0.392763\pi\) |
0.666567 | + | 0.745445i | \(0.267763\pi\) | |||||||
\(570\) | 6.06257 | − | 4.70636i | 0.253933 | − | 0.197128i | ||||
\(571\) | −8.21584 | + | 27.0840i | −0.343822 | + | 1.13343i | 0.599172 | + | 0.800620i | \(0.295497\pi\) |
−0.942994 | + | 0.332809i | \(0.892003\pi\) | |||||||
\(572\) | −1.62359 | + | 15.3320i | −0.0678856 | + | 0.641064i | ||||
\(573\) | −0.0949533 | − | 0.762929i | −0.00396673 | − | 0.0318718i | ||||
\(574\) | 0.870043 | + | 1.46371i | 0.0363149 | + | 0.0610942i | ||||
\(575\) | 34.9083i | 1.45578i | ||||||||
\(576\) | −7.63696 | − | 22.7525i | −0.318207 | − | 0.948021i | ||||
\(577\) | 19.7635i | 0.822765i | 0.911463 | + | 0.411382i | \(0.134954\pi\) | ||||
−0.911463 | + | 0.411382i | \(0.865046\pi\) | |||||||
\(578\) | 19.8752 | − | 11.8140i | 0.826698 | − | 0.491396i | ||||
\(579\) | −0.148318 | − | 1.19170i | −0.00616388 | − | 0.0495255i | ||||
\(580\) | 19.0933 | − | 15.4368i | 0.792808 | − | 0.640977i | ||||
\(581\) | 0.806156 | − | 2.65754i | 0.0334450 | − | 0.110253i | ||||
\(582\) | 17.9700 | + | 23.1484i | 0.744881 | + | 0.959531i | ||||
\(583\) | −22.5687 | + | 4.48919i | −0.934699 | + | 0.185923i | ||||
\(584\) | 8.71273 | − | 6.31457i | 0.360535 | − | 0.261299i | ||||
\(585\) | 28.0718 | − | 7.09750i | 1.16062 | − | 0.293446i | ||||
\(586\) | −14.6819 | + | 3.62050i | −0.606502 | + | 0.149562i | ||||
\(587\) | −0.623164 | + | 0.0613763i | −0.0257207 | + | 0.00253327i | −0.110869 | − | 0.993835i | \(-0.535364\pi\) |
0.0851486 | + | 0.996368i | \(0.472864\pi\) | |||||||
\(588\) | 23.7385 | − | 0.434943i | 0.978961 | − | 0.0179367i | ||||
\(589\) | −1.16620 | − | 3.84443i | −0.0480523 | − | 0.158407i | ||||
\(590\) | 36.4134 | − | 32.7610i | 1.49912 | − | 1.34875i | ||||
\(591\) | 2.80624 | − | 16.2794i | 0.115433 | − | 0.669645i | ||||
\(592\) | −21.2152 | − | 11.7426i | −0.871938 | − | 0.482620i | ||||
\(593\) | −14.5844 | + | 35.2099i | −0.598910 | + | 1.44590i | 0.275783 | + | 0.961220i | \(0.411063\pi\) |
−0.874693 | + | 0.484677i | \(0.838937\pi\) | |||||||
\(594\) | −16.9009 | + | 3.78896i | −0.693451 | + | 0.155463i | ||||
\(595\) | 0.428990 | − | 0.802583i | 0.0175869 | − | 0.0329027i | ||||
\(596\) | 12.7945 | + | 31.5403i | 0.524082 | + | 1.29194i | ||||
\(597\) | −0.147091 | + | 0.0487726i | −0.00602005 | + | 0.00199613i | ||||
\(598\) | −35.0646 | + | 25.8071i | −1.43390 | + | 1.05533i | ||||
\(599\) | 3.06471 | − | 2.04777i | 0.125221 | − | 0.0836698i | −0.491383 | − | 0.870944i | \(-0.663508\pi\) |
0.616603 | + | 0.787274i | \(0.288508\pi\) | |||||||
\(600\) | −17.0147 | + | 6.37076i | −0.694622 | + | 0.260085i | ||||
\(601\) | −5.06488 | + | 7.58012i | −0.206601 | + | 0.309200i | −0.920271 | − | 0.391282i | \(-0.872032\pi\) |
0.713670 | + | 0.700482i | \(0.247032\pi\) | |||||||
\(602\) | 3.20176 | − | 3.50669i | 0.130494 | − | 0.142922i | ||||
\(603\) | 3.31924 | − | 4.49619i | 0.135170 | − | 0.183099i | ||||
\(604\) | 5.94311 | − | 0.541407i | 0.241822 | − | 0.0220295i | ||||
\(605\) | 15.9896 | + | 1.57484i | 0.650069 | + | 0.0640262i | ||||
\(606\) | 13.8533 | + | 36.1889i | 0.562751 | + | 1.47007i | ||||
\(607\) | 15.1075 | − | 15.1075i | 0.613194 | − | 0.613194i | −0.330583 | − | 0.943777i | \(-0.607245\pi\) |
0.943777 | + | 0.330583i | \(0.107245\pi\) | |||||||
\(608\) | −5.92406 | − | 0.989971i | −0.240252 | − | 0.0401486i | ||||
\(609\) | −2.68676 | + | 0.606447i | −0.108873 | + | 0.0245745i | ||||
\(610\) | −12.1751 | + | 1.76044i | −0.492955 | + | 0.0712782i | ||||
\(611\) | 38.7443 | + | 3.81598i | 1.56743 | + | 0.154378i | ||||
\(612\) | −3.87302 | − | 2.90328i | −0.156558 | − | 0.117358i | ||||
\(613\) | 2.11592 | + | 3.95861i | 0.0854611 | + | 0.159887i | 0.921021 | − | 0.389513i | \(-0.127357\pi\) |
−0.835560 | + | 0.549399i | \(0.814857\pi\) | |||||||
\(614\) | −0.0939827 | − | 2.06760i | −0.00379283 | − | 0.0834414i | ||||
\(615\) | −6.54051 | − | 14.7113i | −0.263739 | − | 0.593217i | ||||
\(616\) | −1.11482 | + | 2.29159i | −0.0449176 | + | 0.0923308i | ||||
\(617\) | −5.29140 | + | 3.53560i | −0.213024 | + | 0.142338i | −0.657505 | − | 0.753450i | \(-0.728388\pi\) |
0.444481 | + | 0.895788i | \(0.353388\pi\) | |||||||
\(618\) | −22.4098 | − | 19.4311i | −0.901455 | − | 0.781634i | ||||
\(619\) | 9.31388 | + | 7.64370i | 0.374356 | + | 0.307226i | 0.802692 | − | 0.596393i | \(-0.203400\pi\) |
−0.428336 | + | 0.903619i | \(0.640900\pi\) | |||||||
\(620\) | −0.163629 | + | 22.3313i | −0.00657151 | + | 0.896847i | ||||
\(621\) | −40.0815 | − | 28.0305i | −1.60842 | − | 1.12483i | ||||
\(622\) | −7.54028 | + | 15.7926i | −0.302338 | + | 0.633227i | ||||
\(623\) | −0.956900 | + | 2.31016i | −0.0383374 | + | 0.0925546i | ||||
\(624\) | −18.9780 | − | 12.3811i | −0.759726 | − | 0.495640i | ||||
\(625\) | −11.3999 | − | 27.5217i | −0.455995 | − | 1.10087i | ||||
\(626\) | −10.3707 | − | 0.547572i | −0.414496 | − | 0.0218854i | ||||
\(627\) | −1.15148 | + | 4.17883i | −0.0459855 | + | 0.166887i | ||||
\(628\) | −14.8267 | − | 10.0648i | −0.591649 | − | 0.401629i | ||||
\(629\) | −4.86688 | + | 0.479346i | −0.194055 | + | 0.0191128i | ||||
\(630\) | 4.76221 | + | 0.476040i | 0.189731 | + | 0.0189659i | ||||
\(631\) | −0.922941 | − | 0.183584i | −0.0367417 | − | 0.00730838i | 0.176685 | − | 0.984267i | \(-0.443463\pi\) |
−0.213427 | + | 0.976959i | \(0.568463\pi\) | |||||||
\(632\) | −2.45010 | − | 0.907157i | −0.0974598 | − | 0.0360848i | ||||
\(633\) | 11.8584 | − | 30.8431i | 0.471329 | − | 1.22590i | ||||
\(634\) | −7.91817 | − | 16.9015i | −0.314471 | − | 0.671244i | ||||
\(635\) | 2.36443 | − | 7.79448i | 0.0938296 | − | 0.309315i | ||||
\(636\) | 9.22266 | − | 32.5373i | 0.365702 | − | 1.29019i | ||||
\(637\) | 17.3281 | − | 14.2208i | 0.686566 | − | 0.563450i | ||||
\(638\) | −3.41862 | + | 13.4388i | −0.135344 | + | 0.532047i | ||||
\(639\) | 5.83989 | + | 12.2772i | 0.231022 | + | 0.485679i | ||||
\(640\) | 29.8056 | + | 15.0441i | 1.17817 | + | 0.594669i | ||||
\(641\) | − | 30.7807i | − | 1.21576i | −0.794027 | − | 0.607882i | \(-0.792019\pi\) | ||
0.794027 | − | 0.607882i | \(-0.207981\pi\) | |||||||
\(642\) | 4.16166 | + | 4.39359i | 0.164248 | + | 0.173401i | ||||
\(643\) | −27.5308 | − | 33.5464i | −1.08571 | − | 1.32294i | −0.942857 | − | 0.333197i | \(-0.891873\pi\) |
−0.142852 | − | 0.989744i | \(-0.545627\pi\) | |||||||
\(644\) | −6.90153 | + | 2.03846i | −0.271958 | + | 0.0803264i | ||||
\(645\) | −33.9640 | + | 29.3630i | −1.33733 | + | 1.15617i | ||||
\(646\) | −1.09694 | + | 0.513903i | −0.0431584 | + | 0.0202192i | ||||
\(647\) | 9.26707 | − | 1.84334i | 0.364326 | − | 0.0724690i | −0.00953276 | − | 0.999955i | \(-0.503034\pi\) |
0.373859 | + | 0.927486i | \(0.378034\pi\) | |||||||
\(648\) | 6.34751 | − | 24.6518i | 0.249354 | − | 0.968412i | ||||
\(649\) | −5.39688 | + | 27.1319i | −0.211846 | + | 1.06502i | ||||
\(650\) | −8.87252 | + | 14.6807i | −0.348009 | + | 0.575823i | ||||
\(651\) | 1.12389 | − | 2.23894i | 0.0440488 | − | 0.0877509i | ||||
\(652\) | 33.7023 | + | 22.8781i | 1.31988 | + | 0.895976i | ||||
\(653\) | 9.47826 | + | 31.2456i | 0.370913 | + | 1.22274i | 0.921638 | + | 0.388050i | \(0.126851\pi\) |
−0.550726 | + | 0.834686i | \(0.685649\pi\) | |||||||
\(654\) | −36.4527 | − | 25.8128i | −1.42542 | − | 1.00936i | ||||
\(655\) | −56.5187 | + | 23.4108i | −2.20837 | + | 0.914736i | ||||
\(656\) | −4.99157 | + | 11.5683i | −0.194888 | + | 0.451664i | ||||
\(657\) | 11.3981 | − | 0.585175i | 0.444681 | − | 0.0228299i | ||||
\(658\) | 5.80703 | + | 2.77260i | 0.226382 | + | 0.108087i | ||||
\(659\) | −21.0584 | + | 39.3975i | −0.820319 | + | 1.53471i | 0.0245264 | + | 0.999699i | \(0.492192\pi\) |
−0.844846 | + | 0.535010i | \(0.820308\pi\) | |||||||
\(660\) | 13.0172 | − | 20.2760i | 0.506692 | − | 0.789244i | ||||
\(661\) | 2.07981 | − | 2.53426i | 0.0808954 | − | 0.0985713i | −0.730990 | − | 0.682388i | \(-0.760941\pi\) |
0.811885 | + | 0.583817i | \(0.198441\pi\) | |||||||
\(662\) | 33.7854 | + | 5.13816i | 1.31311 | + | 0.199700i | ||||
\(663\) | −4.56853 | + | 0.117197i | −0.177427 | + | 0.00455154i | ||||
\(664\) | 19.4223 | − | 6.70956i | 0.753733 | − | 0.260381i | ||||
\(665\) | 0.665420 | − | 0.995871i | 0.0258039 | − | 0.0386182i | ||||
\(666\) | −12.0908 | − | 22.6998i | −0.468510 | − | 0.879599i | ||||
\(667\) | −34.5343 | + | 18.4590i | −1.33717 | + | 0.714734i | ||||
\(668\) | −12.9515 | + | 6.80119i | −0.501109 | + | 0.263146i | ||||
\(669\) | −14.0305 | + | 18.0195i | −0.542452 | + | 0.696672i | ||||
\(670\) | 1.11258 | + | 7.69453i | 0.0429828 | + | 0.297266i | ||||
\(671\) | 4.91273 | − | 4.91273i | 0.189654 | − | 0.189654i | ||||
\(672\) | −2.25310 | − | 2.99187i | −0.0869151 | − | 0.115414i | ||||
\(673\) | 19.6878 | + | 19.6878i | 0.758911 | + | 0.758911i | 0.976124 | − | 0.217213i | \(-0.0696968\pi\) |
−0.217213 | + | 0.976124i | \(0.569697\pi\) | |||||||
\(674\) | 26.8037 | − | 35.8652i | 1.03244 | − | 1.38148i | ||||
\(675\) | −18.8160 | − | 4.15988i | −0.724229 | − | 0.160114i | ||||
\(676\) | 4.58707 | − | 0.417874i | 0.176426 | − | 0.0160721i | ||||
\(677\) | −13.5717 | − | 25.3908i | −0.521602 | − | 0.975850i | −0.995454 | − | 0.0952447i | \(-0.969637\pi\) |
0.473851 | − | 0.880605i | \(-0.342863\pi\) | |||||||
\(678\) | 6.49417 | + | 23.7028i | 0.249407 | + | 0.910300i | ||||
\(679\) | 3.80248 | + | 2.54073i | 0.145926 | + | 0.0975044i | ||||
\(680\) | 6.67118 | − | 0.914760i | 0.255828 | − | 0.0350794i | ||||
\(681\) | −43.9918 | + | 1.12852i | −1.68577 | + | 0.0432451i | ||||
\(682\) | −7.47604 | − | 10.1578i | −0.286272 | − | 0.388964i | ||||
\(683\) | −12.2008 | − | 10.0130i | −0.466852 | − | 0.383136i | 0.371352 | − | 0.928492i | \(-0.378894\pi\) |
−0.838204 | + | 0.545356i | \(0.816394\pi\) | |||||||
\(684\) | −4.69830 | − | 4.30231i | −0.179644 | − | 0.164503i | ||||
\(685\) | 7.21155 | + | 3.85465i | 0.275539 | + | 0.147279i | ||||
\(686\) | 7.06075 | − | 2.49724i | 0.269581 | − | 0.0953449i | ||||
\(687\) | −5.54144 | − | 7.84982i | −0.211419 | − | 0.299489i | ||||
\(688\) | 34.9118 | + | 3.95587i | 1.33100 | + | 0.150816i | ||||
\(689\) | −12.2192 | − | 29.4997i | −0.465513 | − | 1.12385i | ||||
\(690\) | 67.0687 | − | 11.4607i | 2.55326 | − | 0.436303i | ||||
\(691\) | 33.9725 | − | 10.3054i | 1.29238 | − | 0.392038i | 0.432081 | − | 0.901835i | \(-0.357780\pi\) |
0.860295 | + | 0.509797i | \(0.170280\pi\) | |||||||
\(692\) | −39.6106 | + | 26.0492i | −1.50577 | + | 0.990241i | ||||
\(693\) | −2.31533 | + | 1.39471i | −0.0879523 | + | 0.0529808i | ||||
\(694\) | −2.83428 | − | 11.4936i | −0.107588 | − | 0.436290i | ||||
\(695\) | −31.4159 | − | 6.24900i | −1.19167 | − | 0.237038i | ||||
\(696\) | −15.2996 | − | 13.4636i | −0.579931 | − | 0.510338i | ||||
\(697\) | 0.495733 | + | 2.49222i | 0.0187772 | + | 0.0943995i | ||||
\(698\) | −9.33400 | − | 3.37838i | −0.353297 | − | 0.127874i | ||||
\(699\) | 29.9253 | − | 25.8714i | 1.13188 | − | 0.978545i | ||||
\(700\) | −2.20482 | + | 1.78258i | −0.0833344 | + | 0.0673750i | ||||
\(701\) | −16.7608 | + | 13.7552i | −0.633046 | + | 0.519528i | −0.895296 | − | 0.445472i | \(-0.853036\pi\) |
0.262249 | + | 0.965000i | \(0.415536\pi\) | |||||||
\(702\) | −9.73185 | − | 21.9756i | −0.367305 | − | 0.829416i | ||||
\(703\) | −6.43641 | −0.242754 | ||||||||
\(704\) | −18.5701 | + | 3.27125i | −0.699888 | + | 0.123290i | ||||
\(705\) | −51.4391 | − | 32.4939i | −1.93731 | − | 1.22379i | ||||
\(706\) | 18.3183 | − | 10.8885i | 0.689418 | − | 0.409796i | ||||
\(707\) | 3.83628 | + | 4.67453i | 0.144278 | + | 0.175804i | ||||
\(708\) | −31.8956 | − | 25.2125i | −1.19871 | − | 0.947545i | ||||
\(709\) | 48.0325 | + | 14.5705i | 1.80390 | + | 0.547207i | 0.998936 | − | 0.0461192i | \(-0.0146854\pi\) |
0.804962 | + | 0.593326i | \(0.202185\pi\) | |||||||
\(710\) | −17.7839 | − | 6.43677i | −0.667418 | − | 0.241568i | ||||
\(711\) | −1.65567 | − | 2.22214i | −0.0620925 | − | 0.0833369i | ||||
\(712\) | −17.9956 | + | 4.29805i | −0.674415 | + | 0.161076i | ||||
\(713\) | 6.94829 | − | 34.9314i | 0.260216 | − | 1.30819i | ||||
\(714\) | −0.716640 | − | 0.238782i | −0.0268196 | − | 0.00893621i | ||||
\(715\) | −2.22981 | − | 22.6396i | −0.0833900 | − | 0.846673i | ||||
\(716\) | −0.911335 | + | 4.41238i | −0.0340582 | + | 0.164898i | ||||
\(717\) | −0.779474 | + | 2.82880i | −0.0291100 | + | 0.105643i | ||||
\(718\) | 24.1800 | − | 21.7547i | 0.902391 | − | 0.811877i | ||||
\(719\) | −13.3993 | + | 5.55018i | −0.499710 | + | 0.206987i | −0.618278 | − | 0.785959i | \(-0.712170\pi\) |
0.118568 | + | 0.992946i | \(0.462170\pi\) | |||||||
\(720\) | 17.8261 | + | 30.5985i | 0.664341 | + | 1.14034i | ||||
\(721\) | −4.27643 | − | 1.77136i | −0.159263 | − | 0.0659687i | ||||
\(722\) | 23.8293 | − | 8.42791i | 0.886834 | − | 0.313654i | ||||
\(723\) | −15.8672 | − | 27.9376i | −0.590107 | − | 1.03901i | ||||
\(724\) | 32.8822 | + | 13.9034i | 1.22206 | + | 0.516716i | ||||
\(725\) | −9.78740 | + | 11.9260i | −0.363495 | + | 0.442920i | ||||
\(726\) | −0.947028 | − | 13.3026i | −0.0351475 | − | 0.493707i | ||||
\(727\) | 15.5238 | + | 23.2331i | 0.575747 | + | 0.861666i | 0.999017 | − | 0.0443374i | \(-0.0141177\pi\) |
−0.423270 | + | 0.906004i | \(0.639118\pi\) | |||||||
\(728\) | −3.42054 | − | 0.896867i | −0.126774 | − | 0.0332401i | ||||
\(729\) | 19.8852 | − | 18.2642i | 0.736488 | − | 0.676451i | ||||
\(730\) | −10.7054 | + | 11.7250i | −0.396226 | + | 0.433962i | ||||
\(731\) | 6.24944 | − | 3.34039i | 0.231144 | − | 0.123549i | ||||
\(732\) | 3.14259 | + | 9.71536i | 0.116154 | + | 0.359090i | ||||
\(733\) | −4.63361 | + | 47.0458i | −0.171146 | + | 1.73768i | 0.399723 | + | 0.916636i | \(0.369106\pi\) |
−0.570870 | + | 0.821041i | \(0.693394\pi\) | |||||||
\(734\) | −15.3234 | + | 20.5038i | −0.565596 | + | 0.756808i | ||||
\(735\) | −34.1728 | + | 7.71338i | −1.26048 | + | 0.284512i | ||||
\(736\) | −42.1802 | − | 32.4973i | −1.55478 | − | 1.19787i | ||||
\(737\) | −3.10479 | − | 3.10479i | −0.114366 | − | 0.114366i | ||||
\(738\) | −11.1221 | + | 7.40817i | −0.409411 | + | 0.272698i | ||||
\(739\) | 0.620510 | − | 6.30014i | 0.0228258 | − | 0.231754i | −0.977003 | − | 0.213228i | \(-0.931602\pi\) |
0.999828 | − | 0.0185268i | \(-0.00589759\pi\) | |||||||
\(740\) | 34.1609 | + | 10.6365i | 1.25578 | + | 0.391007i | ||||
\(741\) | −5.99892 | − | 0.435850i | −0.220376 | − | 0.0160114i | ||||
\(742\) | −0.239650 | − | 5.27225i | −0.00879784 | − | 0.193550i | ||||
\(743\) | −27.4882 | − | 18.3670i | −1.00844 | − | 0.673820i | −0.0624635 | − | 0.998047i | \(-0.519896\pi\) |
−0.945979 | + | 0.324227i | \(0.894896\pi\) | |||||||
\(744\) | 18.2940 | − | 2.98831i | 0.670692 | − | 0.109557i | ||||
\(745\) | −27.9015 | − | 41.7576i | −1.02223 | − | 1.52988i | ||||
\(746\) | 22.2535 | + | 3.38437i | 0.814760 | + | 0.123911i | ||||
\(747\) | 21.1536 | + | 5.24909i | 0.773968 | + | 0.192054i | ||||
\(748\) | −2.70872 | + | 2.66931i | −0.0990405 | + | 0.0975996i | ||||
\(749\) | 0.832893 | + | 0.445191i | 0.0304333 | + | 0.0162669i | ||||
\(750\) | −7.89949 | + | 4.97401i | −0.288449 | + | 0.181625i | ||||
\(751\) | −40.9179 | − | 16.9488i | −1.49312 | − | 0.618469i | −0.521124 | − | 0.853481i | \(-0.674487\pi\) |
−0.971992 | + | 0.235012i | \(0.924487\pi\) | |||||||
\(752\) | 8.60370 | + | 46.8302i | 0.313745 | + | 1.70772i | ||||
\(753\) | −7.24199 | + | 42.0119i | −0.263913 | + | 1.53100i | ||||
\(754\) | −19.2150 | − | 1.01455i | −0.699771 | − | 0.0369479i | ||||
\(755\) | −8.42630 | + | 2.55609i | −0.306664 | + | 0.0930256i | ||||
\(756\) | −0.276326 | − | 3.96293i | −0.0100499 | − | 0.144130i | ||||
\(757\) | 2.22745 | + | 22.6157i | 0.0809582 | + | 0.821982i | 0.946834 | + | 0.321723i | \(0.104262\pi\) |
−0.865876 | + | 0.500259i | \(0.833238\pi\) | |||||||
\(758\) | −26.2904 | + | 43.5006i | −0.954909 | + | 1.58001i | ||||
\(759\) | −26.4666 | + | 27.8602i | −0.960675 | + | 1.01126i | ||||
\(760\) | 8.85582 | − | 0.337540i | 0.321234 | − | 0.0122438i | ||||
\(761\) | −3.99448 | − | 20.0816i | −0.144800 | − | 0.727957i | −0.983146 | − | 0.182820i | \(-0.941478\pi\) |
0.838347 | − | 0.545137i | \(-0.183522\pi\) | |||||||
\(762\) | −6.70791 | − | 0.844780i | −0.243002 | − | 0.0306032i | ||||
\(763\) | −6.67036 | − | 2.02343i | −0.241483 | − | 0.0732532i | ||||
\(764\) | 0.424209 | − | 0.779840i | 0.0153473 | − | 0.0282136i | ||||
\(765\) | 6.46307 | + | 3.03937i | 0.233673 | + | 0.109889i | ||||
\(766\) | −1.30955 | + | 5.14791i | −0.0473158 | + | 0.186002i | ||||
\(767\) | −38.3863 | −1.38605 | ||||||||
\(768\) | 8.14165 | − | 26.4899i | 0.293787 | − | 0.955871i | ||||
\(769\) | 25.1594 | 0.907270 | 0.453635 | − | 0.891188i | \(-0.350127\pi\) | ||||
0.453635 | + | 0.891188i | \(0.350127\pi\) | |||||||
\(770\) | 0.927003 | − | 3.64411i | 0.0334069 | − | 0.131325i | ||||
\(771\) | 0.846190 | + | 6.79895i | 0.0304748 | + | 0.244858i | ||||
\(772\) | 0.662618 | − | 1.21812i | 0.0238481 | − | 0.0438410i | ||||
\(773\) | 17.2508 | + | 5.23299i | 0.620470 | + | 0.188217i | 0.584841 | − | 0.811148i | \(-0.301157\pi\) |
0.0356283 | + | 0.999365i | \(0.488657\pi\) | |||||||
\(774\) | 28.7729 | + | 23.6835i | 1.03422 | + | 0.851287i | ||||
\(775\) | −2.73757 | − | 13.7627i | −0.0983366 | − | 0.494371i | ||||
\(776\) | 1.28881 | + | 33.8137i | 0.0462655 | + | 1.21384i | ||||
\(777\) | −2.90991 | − | 2.76435i | −0.104392 | − | 0.0991704i | ||||
\(778\) | 12.5245 | − | 20.7233i | 0.449024 | − | 0.742965i | ||||
\(779\) | 0.327801 | + | 3.32822i | 0.0117447 | + | 0.119246i | ||||
\(780\) | 31.1186 | + | 12.2268i | 1.11423 | + | 0.437790i | ||||
\(781\) | 10.2215 | − | 3.10067i | 0.365755 | − | 0.110951i | ||||
\(782\) | −10.7241 | − | 0.566230i | −0.383492 | − | 0.0202484i | ||||
\(783\) | −5.83431 | − | 20.8141i | −0.208501 | − | 0.743836i | ||||
\(784\) | 22.5695 | + | 15.5636i | 0.806054 | + | 0.555844i | ||||
\(785\) | 24.4287 | + | 10.1187i | 0.871897 | + | 0.361152i | ||||
\(786\) | 27.0564 | + | 42.9697i | 0.965069 | + | 1.53268i | ||||
\(787\) | 9.54966 | + | 5.10440i | 0.340409 | + | 0.181952i | 0.632739 | − | 0.774365i | \(-0.281931\pi\) |
−0.292330 | + | 0.956317i | \(0.594431\pi\) | |||||||
\(788\) | 13.5866 | − | 13.3889i | 0.484002 | − | 0.476960i | ||||
\(789\) | 19.0421 | − | 6.31397i | 0.677916 | − | 0.224783i | ||||
\(790\) | 3.81118 | + | 0.579613i | 0.135596 | + | 0.0206217i | ||||
\(791\) | 2.13078 | + | 3.18894i | 0.0757618 | + | 0.113386i | ||||
\(792\) | −18.4095 | − | 7.81561i | −0.654154 | − | 0.277716i | ||||
\(793\) | 8.01592 | + | 5.35607i | 0.284654 | + | 0.190200i | ||||
\(794\) | −1.90636 | − | 41.9394i | −0.0676542 | − | 1.48838i | ||||
\(795\) | −3.61599 | + | 49.7694i | −0.128246 | + | 1.76514i | ||||
\(796\) | −0.170850 | − | 0.0531968i | −0.00605561 | − | 0.00188551i | ||||
\(797\) | 0.00939373 | − | 0.0953761i | 0.000332743 | − | 0.00337840i | −0.995017 | − | 0.0997062i | \(-0.968210\pi\) |
0.995350 | + | 0.0963278i | \(0.0307097\pi\) | |||||||
\(798\) | −0.907841 | − | 0.405202i | −0.0321372 | − | 0.0143440i | ||||
\(799\) | 6.79028 | + | 6.79028i | 0.240223 | + | 0.240223i | ||||
\(800\) | −20.2534 | − | 5.46936i | −0.716067 | − | 0.193371i | ||||
\(801\) | −18.4915 | − | 6.57036i | −0.653366 | − | 0.232152i | ||||
\(802\) | 6.33846 | − | 8.48131i | 0.223819 | − | 0.299486i | ||||
\(803\) | 0.878911 | − | 8.92373i | 0.0310161 | − | 0.314912i | ||||
\(804\) | 6.14000 | − | 1.98609i | 0.216541 | − | 0.0700439i | ||||
\(805\) | 9.36444 | − | 5.00540i | 0.330053 | − | 0.176417i | ||||
\(806\) | 11.8005 | − | 12.9244i | 0.415655 | − | 0.455242i | ||||
\(807\) | 19.1917 | + | 43.1670i | 0.675579 | + | 1.51955i | ||||
\(808\) | −11.3484 | + | 43.2814i | −0.399235 | + | 1.52264i | ||||
\(809\) | 26.3463 | + | 39.4300i | 0.926286 | + | 1.38629i | 0.922376 | + | 0.386293i | \(0.126245\pi\) |
0.00391045 | + | 0.999992i | \(0.498755\pi\) | |||||||
\(810\) | −1.81483 | + | 37.5166i | −0.0637665 | + | 1.31820i | ||||
\(811\) | −23.3614 | + | 28.4659i | −0.820329 | + | 0.999574i | 0.179545 | + | 0.983750i | \(0.442537\pi\) |
−0.999875 | + | 0.0158245i | \(0.994963\pi\) | |||||||
\(812\) | −2.92935 | − | 1.23860i | −0.102800 | − | 0.0434664i | ||||
\(813\) | 36.7834 | − | 20.8912i | 1.29005 | − | 0.732687i | ||||
\(814\) | −19.0503 | + | 6.73767i | −0.667711 | + | 0.236155i | ||||
\(815\) | −55.5284 | − | 23.0006i | −1.94508 | − | 0.805677i | ||||
\(816\) | −1.68115 | − | 5.33037i | −0.0588522 | − | 0.186600i | ||||
\(817\) | 8.61634 | − | 3.56901i | 0.301448 | − | 0.124864i | ||||
\(818\) | 23.1067 | − | 20.7890i | 0.807905 | − | 0.726869i | ||||
\(819\) | −2.52493 | − | 2.77350i | −0.0882281 | − | 0.0969139i | ||||
\(820\) | 3.76029 | − | 18.2061i | 0.131315 | − | 0.635783i | ||||
\(821\) | −3.58729 | − | 36.4224i | −0.125197 | − | 1.27115i | −0.828390 | − | 0.560151i | \(-0.810743\pi\) |
0.703193 | − | 0.710999i | \(-0.251757\pi\) | |||||||
\(822\) | 2.14556 | − | 6.43931i | 0.0748350 | − | 0.224597i | ||||
\(823\) | 9.88336 | − | 49.6870i | 0.344512 | − | 1.73198i | −0.288179 | − | 0.957577i | \(-0.593050\pi\) |
0.632691 | − | 0.774404i | \(-0.281950\pi\) | |||||||
\(824\) | −7.95629 | − | 33.3125i | −0.277170 | − | 1.16050i | ||||
\(825\) | −5.43326 | + | 14.1316i | −0.189162 | + | 0.492000i | ||||
\(826\) | −5.96605 | − | 2.15937i | −0.207585 | − | 0.0751343i | ||||
\(827\) | −44.2486 | − | 13.4227i | −1.53867 | − | 0.466751i | −0.596707 | − | 0.802459i | \(-0.703525\pi\) |
−0.941966 | + | 0.335708i | \(0.891025\pi\) | |||||||
\(828\) | −18.7540 | − | 53.2723i | −0.651747 | − | 1.85134i | ||||
\(829\) | 27.3502 | + | 33.3263i | 0.949911 | + | 1.15747i | 0.987411 | + | 0.158173i | \(0.0505605\pi\) |
−0.0375002 | + | 0.999297i | \(0.511939\pi\) | |||||||
\(830\) | −26.0631 | + | 15.4921i | −0.904663 | + | 0.537739i | ||||
\(831\) | −15.1797 | + | 24.0300i | −0.526577 | + | 0.833590i | ||||
\(832\) | −9.47916 | − | 24.3875i | −0.328631 | − | 0.845485i | ||||
\(833\) | 5.52924 | 0.191577 | ||||||||
\(834\) | −0.720528 | + | 26.5777i | −0.0249498 | + | 0.920311i | ||||
\(835\) | 16.6853 | − | 13.6933i | 0.577419 | − | 0.473875i | ||||
\(836\) | −3.89218 | + | 3.14679i | −0.134614 | + | 0.108834i | ||||
\(837\) | 18.0005 | + | 7.90786i | 0.622188 | + | 0.273336i | ||||
\(838\) | −28.4716 | − | 10.3051i | −0.983536 | − | 0.355985i | ||||
\(839\) | −2.93050 | − | 14.7326i | −0.101172 | − | 0.508626i | −0.997827 | − | 0.0658951i | \(-0.979010\pi\) |
0.896655 | − | 0.442731i | \(-0.145990\pi\) | |||||||
\(840\) | 4.14870 | + | 3.65085i | 0.143144 | + | 0.125966i | ||||
\(841\) | 11.4691 | + | 2.28135i | 0.395487 | + | 0.0786673i | ||||
\(842\) | −3.56181 | − | 14.4438i | −0.122748 | − | 0.497768i | ||||
\(843\) | 15.6778 | − | 31.2322i | 0.539971 | − | 1.07569i | ||||
\(844\) | 31.8801 | − | 20.9654i | 1.09736 | − | 0.721657i | ||||
\(845\) | −6.50367 | + | 1.97287i | −0.223733 | + | 0.0678687i | ||||
\(846\) | −19.3943 | + | 46.6298i | −0.666789 | + | 1.60316i | ||||
\(847\) | −0.796447 | − | 1.92279i | −0.0273663 | − | 0.0660680i | ||||
\(848\) | 30.5466 | − | 24.3286i | 1.04897 | − | 0.835449i | ||||
\(849\) | −23.2177 | + | 16.3901i | −0.796831 | + | 0.562508i | ||||
\(850\) | −3.98895 | + | 1.41081i | −0.136820 | + | 0.0483902i | ||||
\(851\) | −50.3232 | − | 26.8983i | −1.72506 | − | 0.922063i | ||||
\(852\) | −2.78007 | + | 15.4505i | −0.0952437 | + | 0.529325i | ||||
\(853\) | −1.41637 | − | 1.16239i | −0.0484957 | − | 0.0397994i | 0.609833 | − | 0.792530i | \(-0.291236\pi\) |
−0.658329 | + | 0.752730i | \(0.728736\pi\) | |||||||
\(854\) | 0.944546 | + | 1.28337i | 0.0323217 | + | 0.0439161i | ||||
\(855\) | 8.07316 | + | 4.81467i | 0.276096 | + | 0.164658i | ||||
\(856\) | 0.949306 | + | 6.92312i | 0.0324466 | + | 0.236627i | ||||
\(857\) | 26.7469 | + | 17.8717i | 0.913657 | + | 0.610486i | 0.921032 | − | 0.389487i | \(-0.127348\pi\) |
−0.00737490 | + | 0.999973i | \(0.502348\pi\) | |||||||
\(858\) | −18.2116 | + | 4.98968i | −0.621735 | + | 0.170345i | ||||
\(859\) | −19.4331 | − | 36.3567i | −0.663047 | − | 1.24047i | −0.958493 | − | 0.285115i | \(-0.907968\pi\) |
0.295446 | − | 0.955359i | \(-0.404532\pi\) | |||||||
\(860\) | −51.6287 | + | 4.70329i | −1.76053 | + | 0.160381i | ||||
\(861\) | −1.28123 | + | 1.64548i | −0.0436641 | + | 0.0560778i | ||||
\(862\) | 21.1343 | − | 28.2792i | 0.719837 | − | 0.963193i | ||||
\(863\) | 4.92068 | + | 4.92068i | 0.167502 | + | 0.167502i | 0.785880 | − | 0.618379i | \(-0.212210\pi\) |
−0.618379 | + | 0.785880i | \(0.712210\pi\) | |||||||
\(864\) | 22.5429 | − | 18.8631i | 0.766925 | − | 0.641736i | ||||
\(865\) | 49.4635 | − | 49.4635i | 1.68181 | − | 1.68181i | ||||
\(866\) | 3.74306 | + | 25.8867i | 0.127194 | + | 0.879666i | ||||
\(867\) | 22.3433 | + | 17.3972i | 0.758819 | + | 0.590841i | ||||
\(868\) | 2.56109 | − | 1.34490i | 0.0869292 | − | 0.0456489i | ||||
\(869\) | −1.92011 | + | 1.02632i | −0.0651353 | + | 0.0348156i | ||||
\(870\) | 26.1265 | + | 14.8889i | 0.885771 | + | 0.504782i | ||||
\(871\) | 3.38498 | − | 5.06598i | 0.114696 | − | 0.171654i | ||||
\(872\) | −16.8408 | − | 48.7496i | −0.570303 | − | 1.65087i | ||||
\(873\) | −18.3836 | + | 30.8253i | −0.622190 | + | 1.04328i | ||||
\(874\) | −13.9732 | − | 2.12507i | −0.472650 | − | 0.0718817i | ||||
\(875\) | −0.924179 | + | 1.12612i | −0.0312430 | + | 0.0380697i | ||||
\(876\) | 11.0900 | + | 7.11973i | 0.374696 | + | 0.240553i | ||||
\(877\) | 15.7010 | − | 29.3744i | 0.530184 | − | 0.991904i | −0.464166 | − | 0.885748i | \(-0.653646\pi\) |
0.994350 | − | 0.106155i | \(-0.0338541\pi\) | |||||||
\(878\) | 37.9218 | + | 18.1060i | 1.27980 | + | 0.611047i | ||||
\(879\) | −10.6808 | − | 15.1300i | −0.360254 | − | 0.510324i | ||||
\(880\) | 25.8578 | − | 10.2694i | 0.871666 | − | 0.346180i | ||||
\(881\) | 0.0120815 | − | 0.00500431i | 0.000407035 | − | 0.000168599i | −0.382480 | − | 0.923964i | \(-0.624930\pi\) |
0.382887 | + | 0.923795i | \(0.374930\pi\) | |||||||
\(882\) | 11.0887 | + | 26.8812i | 0.373377 | + | 0.905139i | ||||
\(883\) | 1.49529 | + | 4.92930i | 0.0503204 | + | 0.165884i | 0.978499 | − | 0.206250i | \(-0.0661261\pi\) |
−0.928179 | + | 0.372134i | \(0.878626\pi\) | |||||||
\(884\) | −4.36609 | − | 2.96383i | −0.146847 | − | 0.0996843i | ||||
\(885\) | 53.6145 | + | 26.9131i | 1.80223 | + | 0.904675i | ||||
\(886\) | 15.1008 | − | 24.9862i | 0.507323 | − | 0.839427i | ||||
\(887\) | 1.54918 | − | 7.78828i | 0.0520165 | − | 0.261505i | −0.946022 | − | 0.324101i | \(-0.894938\pi\) |
0.998039 | + | 0.0625965i | \(0.0199381\pi\) | |||||||
\(888\) | 3.92656 | − | 29.4371i | 0.131767 | − | 0.987843i | ||||
\(889\) | −1.03481 | + | 0.205836i | −0.0347064 | + | 0.00690353i | ||||
\(890\) | 24.7212 | − | 11.5816i | 0.828657 | − | 0.388217i | ||||
\(891\) | −11.8631 | − | 17.5858i | −0.397429 | − | 0.589147i | ||||
\(892\) | −25.2905 | + | 7.46988i | −0.846789 | + | 0.250110i | ||||
\(893\) | 8.01785 | + | 9.76978i | 0.268307 | + | 0.326933i | ||||
\(894\) | −30.2645 | + | 28.6669i | −1.01220 | + | 0.958763i | ||||
\(895\) | − | 6.64795i | − | 0.222216i | ||||||
\(896\) | −0.101373 | − | 4.32358i | −0.00338662 | − | 0.144441i | ||||
\(897\) | −45.0812 | − | 28.4777i | −1.50522 | − | 0.950843i | ||||
\(898\) | 0.391091 | − | 1.53740i | 0.0130509 | − | 0.0513038i | ||||
\(899\) | 12.1677 | − | 9.98576i | 0.405815 | − | 0.333044i | ||||
\(900\) | −14.8586 | − | 16.5636i | −0.495286 | − | 0.552119i | ||||
\(901\) | 2.28625 | − | 7.53676i | 0.0761661 | − | 0.251086i | ||||
\(902\) | 4.45422 | + | 9.50761i | 0.148309 | + | 0.316569i | ||||
\(903\) | 5.42830 | + | 2.08705i | 0.180642 | + | 0.0694525i | ||||
\(904\) | −9.85345 | + | 26.6128i | −0.327721 | + | 0.885127i | ||||
\(905\) | −51.6649 | − | 10.2768i | −1.71740 | − | 0.341612i | ||||
\(906\) | 3.26945 | + | 6.53690i | 0.108620 | + | 0.217174i | ||||
\(907\) | −2.92834 | + | 0.288416i | −0.0972340 | + | 0.00957671i | −0.146517 | − | 0.989208i | \(-0.546806\pi\) |
0.0492831 | + | 0.998785i | \(0.484306\pi\) | |||||||
\(908\) | −42.0424 | − | 28.5396i | −1.39523 | − | 0.947121i | ||||
\(909\) | −35.0941 | + | 31.9489i | −1.16400 | + | 1.05968i | ||||
\(910\) | 5.21042 | + | 0.275110i | 0.172724 | + | 0.00911980i | ||||
\(911\) | 10.6580 | + | 25.7307i | 0.353115 | + | 0.852495i | 0.996232 | + | 0.0867269i | \(0.0276407\pi\) |
−0.643117 | + | 0.765768i | \(0.722359\pi\) | |||||||
\(912\) | −1.51432 | − | 7.19851i | −0.0501442 | − | 0.238367i | ||||
\(913\) | 6.55296 | − | 15.8203i | 0.216871 | − | 0.523574i | ||||
\(914\) | −9.13766 | + | 19.1382i | −0.302247 | + | 0.633036i | ||||
\(915\) | −7.44069 | − | 13.1009i | −0.245982 | − | 0.433103i | ||||
\(916\) | 0.0812960 | − | 11.0949i | 0.00268610 | − | 0.366585i | ||||
\(917\) | 6.12556 | + | 5.02712i | 0.202284 | + | 0.166010i | ||||
\(918\) | 1.58315 | − | 5.71294i | 0.0522518 | − | 0.188555i | ||||
\(919\) | −28.7878 | + | 19.2354i | −0.949623 | + | 0.634518i | −0.930887 | − | 0.365307i | \(-0.880964\pi\) |
−0.0187356 | + | 0.999824i | \(0.505964\pi\) | |||||||
\(920\) | 70.6501 | + | 34.3702i | 2.32926 | + | 1.13315i | ||||
\(921\) | 2.31629 | − | 1.02980i | 0.0763243 | − | 0.0339331i | ||||
\(922\) | 1.64892 | + | 36.2759i | 0.0543044 | + | 1.19468i | ||||
\(923\) | 6.98694 | + | 13.0716i | 0.229978 | + | 0.430259i | ||||
\(924\) | −3.11116 | − | 0.248970i | −0.102350 | − | 0.00819052i | ||||
\(925\) | −22.3733 | − | 2.20358i | −0.735630 | − | 0.0724532i | ||||
\(926\) | −7.74111 | + | 1.11932i | −0.254389 | + | 0.0367830i | ||||
\(927\) | 12.1627 | − | 34.2304i | 0.399475 | − | 1.12427i | ||||
\(928\) | −5.29894 | − | 22.9286i | −0.173946 | − | 0.752667i | ||||
\(929\) | 37.2585 | − | 37.2585i | 1.22241 | − | 1.22241i | 0.255640 | − | 0.966772i | \(-0.417714\pi\) |
0.966772 | − | 0.255640i | \(-0.0822862\pi\) | |||||||
\(930\) | −25.5433 | + | 9.77809i | −0.837598 | + | 0.320636i | ||||
\(931\) | 7.24211 | + | 0.713286i | 0.237351 | + | 0.0233770i | ||||
\(932\) | 45.4895 | − | 4.14402i | 1.49006 | − | 0.135742i | ||||
\(933\) | −21.3771 | − | 1.55315i | −0.699856 | − | 0.0508479i | ||||
\(934\) | −16.2582 | + | 17.8066i | −0.531985 | + | 0.582650i | ||||
\(935\) | 3.11747 | − | 4.66562i | 0.101952 | − | 0.152582i | ||||
\(936\) | 5.65304 | − | 27.1703i | 0.184775 | − | 0.888089i | ||||
\(937\) | 14.4873 | − | 9.68007i | 0.473278 | − | 0.316234i | −0.295956 | − | 0.955202i | \(-0.595638\pi\) |
0.769234 | + | 0.638967i | \(0.220638\pi\) | |||||||
\(938\) | 0.811078 | − | 0.596943i | 0.0264826 | − | 0.0194909i | ||||
\(939\) | −4.00309 | − | 12.0728i | −0.130636 | − | 0.393980i | ||||
\(940\) | −26.4092 | − | 65.1025i | −0.861372 | − | 2.12341i | ||||
\(941\) | −11.5317 | + | 21.5742i | −0.375922 | + | 0.703300i | −0.996742 | − | 0.0806524i | \(-0.974300\pi\) |
0.620820 | + | 0.783953i | \(0.286800\pi\) | |||||||
\(942\) | 4.86354 | − | 21.4019i | 0.158463 | − | 0.697312i | ||||
\(943\) | −11.3460 | + | 27.3917i | −0.369477 | + | 0.891997i | ||||
\(944\) | −12.9681 | − | 45.1202i | −0.422077 | − | 1.46854i | ||||
\(945\) | 1.58205 | + | 5.64403i | 0.0514641 | + | 0.183600i | ||||
\(946\) | 21.7663 | − | 19.5830i | 0.707683 | − | 0.636700i | ||||
\(947\) | 6.68458 | + | 22.0361i | 0.217220 | + | 0.716077i | 0.996046 | + | 0.0888379i | \(0.0283153\pi\) |
−0.778826 | + | 0.627240i | \(0.784185\pi\) | |||||||
\(948\) | −0.0586181 | − | 3.19929i | −0.00190383 | − | 0.103908i | ||||
\(949\) | 12.3827 | − | 1.21959i | 0.401960 | − | 0.0395896i | ||||
\(950\) | −5.40667 | + | 1.33327i | −0.175415 | + | 0.0432569i | ||||
\(951\) | 15.7440 | − | 16.5730i | 0.510533 | − | 0.537416i | ||||
\(952\) | −0.511856 | − | 0.706251i | −0.0165894 | − | 0.0228897i | ||||
\(953\) | −15.7852 | + | 3.13987i | −0.511333 | + | 0.101710i | −0.444012 | − | 0.896021i | \(-0.646445\pi\) |
−0.0673210 | + | 0.997731i | \(0.521445\pi\) | |||||||
\(954\) | 41.2262 | − | 3.99982i | 1.33475 | − | 0.129499i | ||||
\(955\) | −0.380241 | + | 1.25349i | −0.0123043 | + | 0.0405619i | ||||
\(956\) | −2.63476 | + | 2.13017i | −0.0852141 | + | 0.0688947i | ||||
\(957\) | −16.8533 | + | 2.09754i | −0.544789 | + | 0.0678038i | ||||
\(958\) | −10.4881 | + | 6.23424i | −0.338856 | + | 0.201419i | ||||
\(959\) | − | 1.05921i | − | 0.0342037i | ||||||
\(960\) | −3.85879 | + | 40.7082i | −0.124542 | + | 1.31385i | ||||
\(961\) | − | 16.6833i | − | 0.538170i | ||||||
\(962\) | −14.3268 | − | 24.1026i | −0.461913 | − | 0.777098i | ||||
\(963\) | −3.15415 | + | 6.70715i | −0.101641 | + | 0.216135i | ||||
\(964\) | 3.90680 | − | 36.8931i | 0.125830 | − | 1.18825i | ||||
\(965\) | −0.593940 | + | 1.95796i | −0.0191196 | + | 0.0630289i | ||||
\(966\) | −5.40460 | − | 6.96203i | −0.173890 | − | 0.224000i | ||||
\(967\) | −21.4836 | + | 4.27335i | −0.690865 | + | 0.137422i | −0.528022 | − | 0.849231i | \(-0.677066\pi\) |
−0.162843 | + | 0.986652i | \(0.552066\pi\) | |||||||
\(968\) | 8.06158 | − | 13.1207i | 0.259109 | − | 0.421716i | ||||
\(969\) | −1.07562 | − | 1.02181i | −0.0345538 | − | 0.0328253i | ||||
\(970\) | −11.9542 | − | 48.4766i | −0.383826 | − | 1.55649i | ||||
\(971\) | −3.62883 | + | 0.357409i | −0.116455 | + | 0.0114698i | −0.156077 | − | 0.987745i | \(-0.549885\pi\) |
0.0396218 | + | 0.999215i | \(0.487385\pi\) | |||||||
\(972\) | 30.9493 | − | 3.76041i | 0.992699 | − | 0.120615i | ||||
\(973\) | 1.20443 | + | 3.97049i | 0.0386124 | + | 0.127288i | ||||
\(974\) | −29.2988 | − | 32.5653i | −0.938795 | − | 1.04346i | ||||
\(975\) | −20.7033 | − | 3.56884i | −0.663038 | − | 0.114294i | ||||
\(976\) | −3.58761 | + | 11.2316i | −0.114837 | + | 0.359513i | ||||
\(977\) | 1.87093 | − | 4.51682i | 0.0598563 | − | 0.144506i | −0.891122 | − | 0.453764i | \(-0.850081\pi\) |
0.950978 | + | 0.309258i | \(0.100081\pi\) | |||||||
\(978\) | −11.0552 | + | 48.6483i | −0.353507 | + | 1.55560i | ||||
\(979\) | −7.26802 | + | 13.5975i | −0.232287 | + | 0.434578i | ||||
\(980\) | −37.2584 | − | 15.7537i | −1.19017 | − | 0.503235i | ||||
\(981\) | 13.1751 | − | 53.0949i | 0.420649 | − | 1.69519i | ||||
\(982\) | 1.68782 | + | 2.29327i | 0.0538604 | + | 0.0731811i | ||||
\(983\) | 21.7516 | − | 14.5339i | 0.693767 | − | 0.463560i | −0.158029 | − | 0.987435i | \(-0.550514\pi\) |
0.851796 | + | 0.523874i | \(0.175514\pi\) | |||||||
\(984\) | −15.4217 | − | 0.531191i | −0.491625 | − | 0.0169337i | ||||
\(985\) | −15.6368 | + | 23.4022i | −0.498231 | + | 0.745655i | ||||
\(986\) | −3.50499 | − | 3.20020i | −0.111622 | − | 0.101915i | ||||
\(987\) | −0.571102 | + | 7.86048i | −0.0181784 | + | 0.250202i | ||||
\(988\) | −5.33629 | − | 4.44522i | −0.169770 | − | 0.141421i | ||||
\(989\) | 82.2823 | + | 8.10410i | 2.61642 | + | 0.257695i | ||||
\(990\) | 28.9347 | + | 5.79928i | 0.919604 | + | 0.184313i | ||||
\(991\) | 20.8768 | − | 20.8768i | 0.663174 | − | 0.663174i | −0.292953 | − | 0.956127i | \(-0.594638\pi\) |
0.956127 | + | 0.292953i | \(0.0946380\pi\) | |||||||
\(992\) | 19.1782 | + | 9.50432i | 0.608909 | + | 0.301762i | ||||
\(993\) | 9.21539 | + | 40.8271i | 0.292441 | + | 1.29561i | ||||
\(994\) | 0.350590 | + | 2.42465i | 0.0111200 | + | 0.0769054i | ||||
\(995\) | 0.262757 | + | 0.0258793i | 0.00832997 | + | 0.000820431i | ||||
\(996\) | 16.3194 | + | 19.1585i | 0.517099 | + | 0.607059i | ||||
\(997\) | −12.4958 | − | 23.3780i | −0.395746 | − | 0.740389i | 0.602590 | − | 0.798051i | \(-0.294135\pi\) |
−0.998336 | + | 0.0576618i | \(0.981635\pi\) | |||||||
\(998\) | −1.67617 | + | 0.0761905i | −0.0530583 | + | 0.00241177i | ||||
\(999\) | 20.4954 | − | 23.9195i | 0.648445 | − | 0.756780i |
(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 | 384.2.w.a.323.27 | yes | 992 | |
3.2 | odd | 2 | inner | 384.2.w.a.323.36 | yes | 992 | |
128.107 | odd | 32 | inner | 384.2.w.a.107.36 | yes | 992 | |
384.107 | even | 32 | inner | 384.2.w.a.107.27 | ✓ | 992 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
384.2.w.a.107.27 | ✓ | 992 | 384.107 | even | 32 | inner | |
384.2.w.a.107.36 | yes | 992 | 128.107 | odd | 32 | inner | |
384.2.w.a.323.27 | yes | 992 | 1.1 | even | 1 | trivial | |
384.2.w.a.323.36 | yes | 992 | 3.2 | odd | 2 | inner |