Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [378,2,Mod(67,378)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(378, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([8, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("378.67");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 378 = 2 \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 378.v (of order \(9\), degree \(6\), 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: | \(3.01834519640\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 67.5 | ||
Character | \(\chi\) | \(=\) | 378.67 |
Dual form | 378.2.v.b.79.5 |
$q$-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 \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{4}{9}\right)\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.766044 | − | 0.642788i | 0.541675 | − | 0.454519i | ||||
\(3\) | −0.402772 | + | 1.68457i | −0.232540 | + | 0.972587i | ||||
\(4\) | 0.173648 | − | 0.984808i | 0.0868241 | − | 0.492404i | ||||
\(5\) | −0.366960 | + | 2.08113i | −0.164109 | + | 0.930711i | 0.785869 | + | 0.618394i | \(0.212216\pi\) |
−0.949978 | + | 0.312317i | \(0.898895\pi\) | |||||||
\(6\) | 0.774279 | + | 1.54935i | 0.316098 | + | 0.632520i | ||||
\(7\) | 1.84638 | + | 1.89496i | 0.697867 | + | 0.716227i | ||||
\(8\) | −0.500000 | − | 0.866025i | −0.176777 | − | 0.306186i | ||||
\(9\) | −2.67555 | − | 1.35699i | −0.891850 | − | 0.452331i | ||||
\(10\) | 1.05662 | + | 1.83012i | 0.334132 | + | 0.578734i | ||||
\(11\) | −0.394893 | − | 2.23955i | −0.119065 | − | 0.675249i | −0.984657 | − | 0.174500i | \(-0.944169\pi\) |
0.865592 | − | 0.500749i | \(-0.166942\pi\) | |||||||
\(12\) | 1.58904 | + | 0.689175i | 0.458715 | + | 0.198948i | ||||
\(13\) | −0.774677 | + | 4.39341i | −0.214857 | + | 1.21851i | 0.666298 | + | 0.745685i | \(0.267878\pi\) |
−0.881155 | + | 0.472827i | \(0.843233\pi\) | |||||||
\(14\) | 2.63247 | + | 0.264792i | 0.703557 | + | 0.0707686i | ||||
\(15\) | −3.35801 | − | 1.45639i | −0.867035 | − | 0.376038i | ||||
\(16\) | −0.939693 | − | 0.342020i | −0.234923 | − | 0.0855050i | ||||
\(17\) | 0.550487 | + | 0.953472i | 0.133513 | + | 0.231251i | 0.925028 | − | 0.379898i | \(-0.124041\pi\) |
−0.791516 | + | 0.611149i | \(0.790708\pi\) | |||||||
\(18\) | −2.92185 | + | 0.680293i | −0.688686 | + | 0.160347i | ||||
\(19\) | −3.27751 | + | 5.67682i | −0.751913 | + | 1.30235i | 0.194982 | + | 0.980807i | \(0.437535\pi\) |
−0.946895 | + | 0.321544i | \(0.895798\pi\) | |||||||
\(20\) | 1.98579 | + | 0.722770i | 0.444037 | + | 0.161616i | ||||
\(21\) | −3.93586 | + | 2.34712i | −0.858876 | + | 0.512184i | ||||
\(22\) | −1.74206 | − | 1.46176i | −0.371408 | − | 0.311649i | ||||
\(23\) | 4.32780 | + | 3.63145i | 0.902408 | + | 0.757210i | 0.970660 | − | 0.240458i | \(-0.0772976\pi\) |
−0.0682515 | + | 0.997668i | \(0.521742\pi\) | |||||||
\(24\) | 1.66027 | − | 0.493474i | 0.338900 | − | 0.100730i | ||||
\(25\) | 0.502011 | + | 0.182717i | 0.100402 | + | 0.0365434i | ||||
\(26\) | 2.23059 | + | 3.86350i | 0.437455 | + | 0.757695i | ||||
\(27\) | 3.36359 | − | 3.96059i | 0.647323 | − | 0.762216i | ||||
\(28\) | 2.18679 | − | 1.48928i | 0.413265 | − | 0.281447i | ||||
\(29\) | −0.886000 | − | 5.02476i | −0.164526 | − | 0.933074i | −0.949552 | − | 0.313610i | \(-0.898461\pi\) |
0.785026 | − | 0.619463i | \(-0.212650\pi\) | |||||||
\(30\) | −3.50854 | + | 1.04283i | −0.640568 | + | 0.190394i | ||||
\(31\) | 1.23018 | − | 6.97669i | 0.220946 | − | 1.25305i | −0.649338 | − | 0.760500i | \(-0.724954\pi\) |
0.870284 | − | 0.492550i | \(-0.163935\pi\) | |||||||
\(32\) | −0.939693 | + | 0.342020i | −0.166116 | + | 0.0604612i | ||||
\(33\) | 3.93173 | + | 0.236802i | 0.684426 | + | 0.0412220i | ||||
\(34\) | 1.03458 | + | 0.376555i | 0.177429 | + | 0.0645787i | ||||
\(35\) | −4.62121 | + | 3.14719i | −0.781127 | + | 0.531973i | ||||
\(36\) | −1.80098 | + | 2.39926i | −0.300164 | + | 0.399877i | ||||
\(37\) | 11.0055 | 1.80929 | 0.904646 | − | 0.426164i | \(-0.140135\pi\) | ||||
0.904646 | + | 0.426164i | \(0.140135\pi\) | |||||||
\(38\) | 1.13827 | + | 6.45544i | 0.184651 | + | 1.04721i | ||||
\(39\) | −7.08899 | − | 3.07454i | −1.13515 | − | 0.492320i | ||||
\(40\) | 1.98579 | − | 0.722770i | 0.313982 | − | 0.114280i | ||||
\(41\) | 1.28738 | − | 7.30109i | 0.201055 | − | 1.14024i | −0.702474 | − | 0.711710i | \(-0.747921\pi\) |
0.903528 | − | 0.428528i | \(-0.140968\pi\) | |||||||
\(42\) | −1.50634 | + | 4.32792i | −0.232434 | + | 0.667813i | ||||
\(43\) | −4.90452 | + | 4.11538i | −0.747932 | + | 0.627589i | −0.934955 | − | 0.354766i | \(-0.884560\pi\) |
0.187023 | + | 0.982356i | \(0.440116\pi\) | |||||||
\(44\) | −2.27410 | −0.342833 | ||||||||
\(45\) | 3.80590 | − | 5.07021i | 0.567351 | − | 0.755822i | ||||
\(46\) | 5.64954 | 0.832979 | ||||||||
\(47\) | −1.25382 | − | 7.11077i | −0.182889 | − | 1.03721i | −0.928638 | − | 0.370987i | \(-0.879020\pi\) |
0.745750 | − | 0.666226i | \(-0.232092\pi\) | |||||||
\(48\) | 0.954638 | − | 1.44522i | 0.137790 | − | 0.208600i | ||||
\(49\) | −0.181745 | + | 6.99764i | −0.0259635 | + | 0.999663i | ||||
\(50\) | 0.502011 | − | 0.182717i | 0.0709950 | − | 0.0258401i | ||||
\(51\) | −1.82791 | + | 0.543303i | −0.255959 | + | 0.0760776i | ||||
\(52\) | 4.19214 | + | 1.52582i | 0.581346 | + | 0.211592i | ||||
\(53\) | 2.35202 | − | 4.07382i | 0.323075 | − | 0.559582i | −0.658046 | − | 0.752978i | \(-0.728617\pi\) |
0.981121 | + | 0.193396i | \(0.0619501\pi\) | |||||||
\(54\) | 0.0308378 | − | 5.19606i | 0.00419649 | − | 0.707094i | ||||
\(55\) | 4.80571 | 0.648001 | ||||||||
\(56\) | 0.717892 | − | 2.54649i | 0.0959324 | − | 0.340290i | ||||
\(57\) | −8.24290 | − | 7.80766i | −1.09180 | − | 1.03415i | ||||
\(58\) | −3.90857 | − | 3.27968i | −0.513220 | − | 0.430643i | ||||
\(59\) | −3.22478 | + | 1.17372i | −0.419831 | + | 0.152806i | −0.543293 | − | 0.839543i | \(-0.682823\pi\) |
0.123462 | + | 0.992349i | \(0.460600\pi\) | |||||||
\(60\) | −2.01738 | + | 3.05410i | −0.260442 | + | 0.394282i | ||||
\(61\) | −0.248045 | − | 1.40673i | −0.0317589 | − | 0.180113i | 0.964802 | − | 0.262977i | \(-0.0847044\pi\) |
−0.996561 | + | 0.0828639i | \(0.973593\pi\) | |||||||
\(62\) | −3.54216 | − | 6.13519i | −0.449854 | − | 0.779171i | ||||
\(63\) | −2.36864 | − | 7.57559i | −0.298420 | − | 0.954434i | ||||
\(64\) | −0.500000 | + | 0.866025i | −0.0625000 | + | 0.108253i | ||||
\(65\) | −8.85899 | − | 3.22441i | −1.09882 | − | 0.399939i | ||||
\(66\) | 3.16409 | − | 2.34586i | 0.389473 | − | 0.288756i | ||||
\(67\) | −5.47003 | − | 4.58990i | −0.668271 | − | 0.560746i | 0.244282 | − | 0.969704i | \(-0.421448\pi\) |
−0.912553 | + | 0.408958i | \(0.865892\pi\) | |||||||
\(68\) | 1.03458 | − | 0.376555i | 0.125461 | − | 0.0456640i | ||||
\(69\) | −7.86055 | + | 5.82783i | −0.946299 | + | 0.701588i | ||||
\(70\) | −1.51708 | + | 5.38135i | −0.181325 | + | 0.643194i | ||||
\(71\) | −2.73928 | + | 4.74457i | −0.325093 | + | 0.563077i | −0.981531 | − | 0.191302i | \(-0.938729\pi\) |
0.656438 | + | 0.754380i | \(0.272062\pi\) | |||||||
\(72\) | 0.162584 | + | 2.99559i | 0.0191607 | + | 0.353034i | ||||
\(73\) | 13.0625 | 1.52885 | 0.764427 | − | 0.644711i | \(-0.223022\pi\) | ||||
0.764427 | + | 0.644711i | \(0.223022\pi\) | |||||||
\(74\) | 8.43070 | − | 7.07419i | 0.980049 | − | 0.822358i | ||||
\(75\) | −0.509995 | + | 0.772079i | −0.0588892 | + | 0.0891520i | ||||
\(76\) | 5.02144 | + | 4.21349i | 0.575998 | + | 0.483320i | ||||
\(77\) | 3.51473 | − | 4.88337i | 0.400541 | − | 0.556512i | ||||
\(78\) | −7.40675 | + | 2.20148i | −0.838650 | + | 0.249269i | ||||
\(79\) | 4.38906 | − | 3.68286i | 0.493808 | − | 0.414354i | −0.361581 | − | 0.932341i | \(-0.617763\pi\) |
0.855389 | + | 0.517987i | \(0.173318\pi\) | |||||||
\(80\) | 1.05662 | − | 1.83012i | 0.118134 | − | 0.204613i | ||||
\(81\) | 5.31713 | + | 7.26141i | 0.590793 | + | 0.806823i | ||||
\(82\) | −3.70686 | − | 6.42047i | −0.409354 | − | 0.709022i | ||||
\(83\) | −0.173835 | − | 0.985869i | −0.0190809 | − | 0.108213i | 0.973780 | − | 0.227492i | \(-0.0730527\pi\) |
−0.992861 | + | 0.119279i | \(0.961942\pi\) | |||||||
\(84\) | 1.62801 | + | 4.28364i | 0.177630 | + | 0.467384i | ||||
\(85\) | −2.18631 | + | 0.795751i | −0.237138 | + | 0.0863113i | ||||
\(86\) | −1.11176 | + | 6.30513i | −0.119885 | + | 0.679899i | ||||
\(87\) | 8.82141 | + | 0.531301i | 0.945754 | + | 0.0569614i | ||||
\(88\) | −1.74206 | + | 1.46176i | −0.185704 | + | 0.155824i | ||||
\(89\) | 4.05995 | − | 7.03203i | 0.430353 | − | 0.745394i | −0.566550 | − | 0.824027i | \(-0.691722\pi\) |
0.996904 | + | 0.0786334i | \(0.0250556\pi\) | |||||||
\(90\) | −0.343578 | − | 6.33039i | −0.0362163 | − | 0.667282i | ||||
\(91\) | −9.75568 | + | 6.64393i | −1.02267 | + | 0.696473i | ||||
\(92\) | 4.32780 | − | 3.63145i | 0.451204 | − | 0.378605i | ||||
\(93\) | 11.2572 | + | 4.88233i | 1.16732 | + | 0.506274i | ||||
\(94\) | −5.53120 | − | 4.64123i | −0.570500 | − | 0.478706i | ||||
\(95\) | −10.6115 | − | 8.90410i | −1.08872 | − | 0.913541i | ||||
\(96\) | −0.197675 | − | 1.72073i | −0.0201751 | − | 0.175622i | ||||
\(97\) | 0.607697 | − | 0.509919i | 0.0617023 | − | 0.0517744i | −0.611415 | − | 0.791310i | \(-0.709399\pi\) |
0.673117 | + | 0.739536i | \(0.264955\pi\) | |||||||
\(98\) | 4.35877 | + | 5.47733i | 0.440302 | + | 0.553294i | ||||
\(99\) | −1.98250 | + | 6.52789i | −0.199249 | + | 0.656078i | ||||
\(100\) | 0.267114 | − | 0.462656i | 0.0267114 | − | 0.0462656i | ||||
\(101\) | 8.43701 | − | 7.07949i | 0.839514 | − | 0.704436i | −0.117940 | − | 0.993021i | \(-0.537629\pi\) |
0.957454 | + | 0.288585i | \(0.0931847\pi\) | |||||||
\(102\) | −1.05103 | + | 1.59115i | −0.104068 | + | 0.157548i | ||||
\(103\) | −2.71497 | + | 15.3974i | −0.267514 | + | 1.51715i | 0.494266 | + | 0.869310i | \(0.335437\pi\) |
−0.761780 | + | 0.647836i | \(0.775674\pi\) | |||||||
\(104\) | 4.19214 | − | 1.52582i | 0.411073 | − | 0.149618i | ||||
\(105\) | −3.44037 | − | 9.05235i | −0.335746 | − | 0.883419i | ||||
\(106\) | −0.816848 | − | 4.63258i | −0.0793393 | − | 0.449956i | ||||
\(107\) | 5.60715 | + | 9.71187i | 0.542063 | + | 0.938881i | 0.998785 | + | 0.0492719i | \(0.0156901\pi\) |
−0.456722 | + | 0.889610i | \(0.650977\pi\) | |||||||
\(108\) | −3.31634 | − | 4.00024i | −0.319115 | − | 0.384923i | ||||
\(109\) | 3.22127 | − | 5.57940i | 0.308542 | − | 0.534410i | −0.669502 | − | 0.742810i | \(-0.733492\pi\) |
0.978044 | + | 0.208400i | \(0.0668257\pi\) | |||||||
\(110\) | 3.68139 | − | 3.08905i | 0.351006 | − | 0.294529i | ||||
\(111\) | −4.43270 | + | 18.5395i | −0.420733 | + | 1.75969i | ||||
\(112\) | −1.08692 | − | 2.41218i | −0.102704 | − | 0.227930i | ||||
\(113\) | −9.57952 | − | 8.03817i | −0.901165 | − | 0.756167i | 0.0692526 | − | 0.997599i | \(-0.477939\pi\) |
−0.970418 | + | 0.241432i | \(0.922383\pi\) | |||||||
\(114\) | −11.3331 | − | 0.682576i | −1.06144 | − | 0.0639291i | ||||
\(115\) | −9.14566 | + | 7.67412i | −0.852837 | + | 0.715615i | ||||
\(116\) | −5.10227 | −0.473734 | ||||||||
\(117\) | 8.03452 | − | 10.7036i | 0.742791 | − | 0.989544i | ||||
\(118\) | −1.71587 | + | 2.97197i | −0.157959 | + | 0.273592i | ||||
\(119\) | −0.790381 | + | 2.80362i | −0.0724541 | + | 0.257008i | ||||
\(120\) | 0.417735 | + | 3.63632i | 0.0381338 | + | 0.331949i | ||||
\(121\) | 5.47698 | − | 1.99346i | 0.497907 | − | 0.181223i | ||||
\(122\) | −1.09424 | − | 0.918179i | −0.0990681 | − | 0.0831280i | ||||
\(123\) | 11.7807 | + | 5.10935i | 1.06223 | + | 0.460695i | ||||
\(124\) | −6.65708 | − | 2.42298i | −0.597823 | − | 0.217590i | ||||
\(125\) | −5.84757 | + | 10.1283i | −0.523022 | + | 0.905901i | ||||
\(126\) | −6.68398 | − | 4.28071i | −0.595456 | − | 0.381356i | ||||
\(127\) | −9.45707 | − | 16.3801i | −0.839179 | − | 1.45350i | −0.890582 | − | 0.454823i | \(-0.849703\pi\) |
0.0514030 | − | 0.998678i | \(-0.483631\pi\) | |||||||
\(128\) | 0.173648 | + | 0.984808i | 0.0153485 | + | 0.0870455i | ||||
\(129\) | −4.95724 | − | 9.91956i | −0.436461 | − | 0.873369i | ||||
\(130\) | −8.85899 | + | 3.22441i | −0.776985 | + | 0.282799i | ||||
\(131\) | −10.9325 | − | 9.17349i | −0.955181 | − | 0.801492i | 0.0249818 | − | 0.999688i | \(-0.492047\pi\) |
−0.980162 | + | 0.198196i | \(0.936492\pi\) | |||||||
\(132\) | 0.915942 | − | 3.83088i | 0.0797225 | − | 0.333435i | ||||
\(133\) | −16.8089 | + | 4.27082i | −1.45751 | + | 0.370327i | ||||
\(134\) | −7.14062 | −0.616856 | ||||||||
\(135\) | 7.00821 | + | 8.45345i | 0.603171 | + | 0.727557i | ||||
\(136\) | 0.550487 | − | 0.953472i | 0.0472039 | − | 0.0817595i | ||||
\(137\) | 17.3970 | + | 6.33198i | 1.48632 | + | 0.540977i | 0.952479 | − | 0.304605i | \(-0.0985246\pi\) |
0.533844 | + | 0.845583i | \(0.320747\pi\) | |||||||
\(138\) | −2.27547 | + | 9.51704i | −0.193701 | + | 0.810144i | ||||
\(139\) | −0.894249 | + | 0.325480i | −0.0758492 | + | 0.0276069i | −0.379666 | − | 0.925124i | \(-0.623961\pi\) |
0.303817 | + | 0.952730i | \(0.401739\pi\) | |||||||
\(140\) | 2.29691 | + | 5.09751i | 0.194125 | + | 0.430818i | ||||
\(141\) | 12.4836 | + | 0.751869i | 1.05131 | + | 0.0633188i | ||||
\(142\) | 0.951342 | + | 5.39533i | 0.0798349 | + | 0.452766i | ||||
\(143\) | 10.1452 | 0.848382 | ||||||||
\(144\) | 2.05008 | + | 2.19025i | 0.170840 | + | 0.182521i | ||||
\(145\) | 10.7823 | 0.895422 | ||||||||
\(146\) | 10.0065 | − | 8.39643i | 0.828142 | − | 0.694894i | ||||
\(147\) | −11.7148 | − | 3.12461i | −0.966221 | − | 0.257714i | ||||
\(148\) | 1.91108 | − | 10.8383i | 0.157090 | − | 0.890902i | ||||
\(149\) | −16.7859 | + | 6.10955i | −1.37515 | + | 0.500514i | −0.920705 | − | 0.390260i | \(-0.872385\pi\) |
−0.454446 | + | 0.890774i | \(0.650163\pi\) | |||||||
\(150\) | 0.105604 | + | 0.919265i | 0.00862251 | + | 0.0750577i | ||||
\(151\) | 1.08833 | + | 6.17225i | 0.0885673 | + | 0.502290i | 0.996530 | + | 0.0832385i | \(0.0265263\pi\) |
−0.907962 | + | 0.419052i | \(0.862363\pi\) | |||||||
\(152\) | 6.55502 | 0.531682 | ||||||||
\(153\) | −0.179000 | − | 3.29807i | −0.0144713 | − | 0.266633i | ||||
\(154\) | −0.446529 | − | 6.00010i | −0.0359823 | − | 0.483502i | ||||
\(155\) | 14.0680 | + | 5.12033i | 1.12997 | + | 0.411275i | ||||
\(156\) | −4.25882 | + | 6.44740i | −0.340978 | + | 0.516205i | ||||
\(157\) | −6.48739 | + | 2.36122i | −0.517750 | + | 0.188446i | −0.587660 | − | 0.809108i | \(-0.699951\pi\) |
0.0699103 | + | 0.997553i | \(0.477729\pi\) | |||||||
\(158\) | 0.994920 | − | 5.64247i | 0.0791516 | − | 0.448891i | ||||
\(159\) | 5.91531 | + | 5.60296i | 0.469114 | + | 0.444344i | ||||
\(160\) | −0.366960 | − | 2.08113i | −0.0290107 | − | 0.164528i | ||||
\(161\) | 1.10931 | + | 14.9061i | 0.0874260 | + | 1.17476i | ||||
\(162\) | 8.74071 | + | 2.14477i | 0.686735 | + | 0.168509i | ||||
\(163\) | 7.72077 | + | 13.3728i | 0.604737 | + | 1.04744i | 0.992093 | + | 0.125505i | \(0.0400551\pi\) |
−0.387356 | + | 0.921930i | \(0.626612\pi\) | |||||||
\(164\) | −6.96662 | − | 2.53564i | −0.544001 | − | 0.198000i | ||||
\(165\) | −1.93560 | + | 8.09555i | −0.150686 | + | 0.630238i | ||||
\(166\) | −0.766870 | − | 0.643480i | −0.0595206 | − | 0.0499437i | ||||
\(167\) | −0.125142 | − | 0.105007i | −0.00968378 | − | 0.00812566i | 0.637933 | − | 0.770092i | \(-0.279790\pi\) |
−0.647617 | + | 0.761966i | \(0.724234\pi\) | |||||||
\(168\) | 4.00060 | + | 2.23499i | 0.308653 | + | 0.172434i | ||||
\(169\) | −6.48592 | − | 2.36068i | −0.498917 | − | 0.181591i | ||||
\(170\) | −1.16331 | + | 2.01491i | −0.0892218 | + | 0.154537i | ||||
\(171\) | 16.4725 | − | 10.7410i | 1.25969 | − | 0.821388i | ||||
\(172\) | 3.20120 | + | 5.54463i | 0.244089 | + | 0.422774i | ||||
\(173\) | −15.0954 | − | 5.49426i | −1.14768 | − | 0.417721i | −0.302998 | − | 0.952991i | \(-0.597988\pi\) |
−0.844681 | + | 0.535270i | \(0.820210\pi\) | |||||||
\(174\) | 7.09910 | − | 5.26329i | 0.538182 | − | 0.399009i | ||||
\(175\) | 0.580662 | + | 1.28866i | 0.0438940 | + | 0.0974132i | ||||
\(176\) | −0.394893 | + | 2.23955i | −0.0297662 | + | 0.168812i | ||||
\(177\) | −0.678370 | − | 5.90511i | −0.0509894 | − | 0.443855i | ||||
\(178\) | −1.41000 | − | 7.99653i | −0.105684 | − | 0.599365i | ||||
\(179\) | −2.62566 | − | 4.54777i | −0.196251 | − | 0.339916i | 0.751059 | − | 0.660235i | \(-0.229543\pi\) |
−0.947310 | + | 0.320319i | \(0.896210\pi\) | |||||||
\(180\) | −4.33230 | − | 4.62852i | −0.322910 | − | 0.344989i | ||||
\(181\) | 8.10196 | + | 14.0330i | 0.602214 | + | 1.04307i | 0.992485 | + | 0.122365i | \(0.0390480\pi\) |
−0.390271 | + | 0.920700i | \(0.627619\pi\) | |||||||
\(182\) | −3.20265 | + | 11.3604i | −0.237396 | + | 0.842087i | ||||
\(183\) | 2.46964 | + | 0.148743i | 0.182561 | + | 0.0109954i | ||||
\(184\) | 0.981032 | − | 5.56371i | 0.0723226 | − | 0.410162i | ||||
\(185\) | −4.03857 | + | 22.9039i | −0.296922 | + | 1.68393i | ||||
\(186\) | 11.7618 | − | 3.49593i | 0.862420 | − | 0.256334i | ||||
\(187\) | 1.91796 | − | 1.60936i | 0.140255 | − | 0.117688i | ||||
\(188\) | −7.22047 | −0.526607 | ||||||||
\(189\) | 13.7156 | − | 0.938905i | 0.997665 | − | 0.0682953i | ||||
\(190\) | −13.8523 | −1.00495 | ||||||||
\(191\) | 3.60864 | − | 3.02801i | 0.261112 | − | 0.219099i | −0.502828 | − | 0.864387i | \(-0.667707\pi\) |
0.763940 | + | 0.645288i | \(0.223263\pi\) | |||||||
\(192\) | −1.25749 | − | 1.19110i | −0.0907518 | − | 0.0859599i | ||||
\(193\) | 1.17376 | − | 6.65672i | 0.0844890 | − | 0.479161i | −0.912977 | − | 0.408012i | \(-0.866222\pi\) |
0.997466 | − | 0.0711492i | \(-0.0226666\pi\) | |||||||
\(194\) | 0.137754 | − | 0.781241i | 0.00989015 | − | 0.0560898i | ||||
\(195\) | 8.99989 | − | 13.6249i | 0.644496 | − | 0.975699i | ||||
\(196\) | 6.85977 | + | 1.39411i | 0.489984 | + | 0.0995794i | ||||
\(197\) | 5.01390 | + | 8.68433i | 0.357226 | + | 0.618733i | 0.987496 | − | 0.157643i | \(-0.0503894\pi\) |
−0.630271 | + | 0.776376i | \(0.717056\pi\) | |||||||
\(198\) | 2.67737 | + | 6.27498i | 0.190272 | + | 0.445943i | ||||
\(199\) | 2.07010 | + | 3.58551i | 0.146745 | + | 0.254170i | 0.930023 | − | 0.367502i | \(-0.119787\pi\) |
−0.783277 | + | 0.621672i | \(0.786454\pi\) | |||||||
\(200\) | −0.0927678 | − | 0.526112i | −0.00655968 | − | 0.0372018i | ||||
\(201\) | 9.93518 | − | 7.36597i | 0.700774 | − | 0.519555i | ||||
\(202\) | 1.91252 | − | 10.8464i | 0.134564 | − | 0.763151i | ||||
\(203\) | 7.88581 | − | 10.9566i | 0.553476 | − | 0.768999i | ||||
\(204\) | 0.217635 | + | 1.89448i | 0.0152375 | + | 0.132640i | ||||
\(205\) | 14.7221 | + | 5.35841i | 1.02824 | + | 0.374248i | ||||
\(206\) | 7.81744 | + | 13.5402i | 0.544667 | + | 0.943391i | ||||
\(207\) | −6.65138 | − | 15.5889i | −0.462303 | − | 1.08351i | ||||
\(208\) | 2.23059 | − | 3.86350i | 0.154664 | − | 0.267886i | ||||
\(209\) | 14.0078 | + | 5.09841i | 0.968938 | + | 0.352665i | ||||
\(210\) | −8.45422 | − | 4.72307i | −0.583396 | − | 0.325923i | ||||
\(211\) | 6.04115 | + | 5.06913i | 0.415890 | + | 0.348973i | 0.826597 | − | 0.562794i | \(-0.190274\pi\) |
−0.410707 | + | 0.911767i | \(0.634718\pi\) | |||||||
\(212\) | −3.60351 | − | 3.02370i | −0.247490 | − | 0.207669i | ||||
\(213\) | −6.88926 | − | 6.52549i | −0.472044 | − | 0.447119i | ||||
\(214\) | 10.5380 | + | 3.83552i | 0.720362 | + | 0.262190i | ||||
\(215\) | −6.76489 | − | 11.7171i | −0.461361 | − | 0.799102i | ||||
\(216\) | −5.11177 | − | 0.932656i | −0.347812 | − | 0.0634592i | ||||
\(217\) | 15.4919 | − | 10.5505i | 1.05166 | − | 0.716214i | ||||
\(218\) | −1.11874 | − | 6.34466i | −0.0757703 | − | 0.429715i | ||||
\(219\) | −5.26122 | + | 22.0047i | −0.355520 | + | 1.48694i | ||||
\(220\) | 0.834502 | − | 4.73270i | 0.0562621 | − | 0.319078i | ||||
\(221\) | −4.61544 | + | 1.67988i | −0.310468 | + | 0.113001i | ||||
\(222\) | 8.52133 | + | 17.0514i | 0.571914 | + | 1.14441i | ||||
\(223\) | −26.9328 | − | 9.80273i | −1.80355 | − | 0.656440i | −0.997951 | − | 0.0639823i | \(-0.979620\pi\) |
−0.805602 | − | 0.592457i | \(-0.798158\pi\) | |||||||
\(224\) | −2.38315 | − | 1.14918i | −0.159231 | − | 0.0767828i | ||||
\(225\) | −1.09521 | − | 1.17009i | −0.0730139 | − | 0.0780063i | ||||
\(226\) | −12.5052 | −0.831832 | ||||||||
\(227\) | 2.74928 | + | 15.5919i | 0.182476 | + | 1.03487i | 0.929155 | + | 0.369689i | \(0.120536\pi\) |
−0.746679 | + | 0.665184i | \(0.768353\pi\) | |||||||
\(228\) | −9.12041 | + | 6.76189i | −0.604014 | + | 0.447817i | ||||
\(229\) | 10.9231 | − | 3.97569i | 0.721820 | − | 0.262721i | 0.0451219 | − | 0.998981i | \(-0.485632\pi\) |
0.676698 | + | 0.736260i | \(0.263410\pi\) | |||||||
\(230\) | −2.07315 | + | 11.7574i | −0.136700 | + | 0.775262i | ||||
\(231\) | 6.81074 | + | 7.88769i | 0.448114 | + | 0.518972i | ||||
\(232\) | −3.90857 | + | 3.27968i | −0.256610 | + | 0.215321i | ||||
\(233\) | 1.71150 | 0.112124 | 0.0560619 | − | 0.998427i | \(-0.482146\pi\) | ||||
0.0560619 | + | 0.998427i | \(0.482146\pi\) | |||||||
\(234\) | −0.725316 | − | 13.3639i | −0.0474154 | − | 0.873625i | ||||
\(235\) | 15.2586 | 0.995359 | ||||||||
\(236\) | 0.595915 | + | 3.37960i | 0.0387908 | + | 0.219994i | ||||
\(237\) | 4.43625 | + | 8.87703i | 0.288165 | + | 0.576625i | ||||
\(238\) | 1.19667 | + | 2.65575i | 0.0775685 | + | 0.172147i | ||||
\(239\) | 1.80505 | − | 0.656984i | 0.116759 | − | 0.0424968i | −0.282980 | − | 0.959126i | \(-0.591323\pi\) |
0.399739 | + | 0.916629i | \(0.369101\pi\) | |||||||
\(240\) | 2.65738 | + | 2.51707i | 0.171533 | + | 0.162476i | ||||
\(241\) | −14.4568 | − | 5.26183i | −0.931242 | − | 0.338944i | −0.168540 | − | 0.985695i | \(-0.553905\pi\) |
−0.762702 | + | 0.646750i | \(0.776128\pi\) | |||||||
\(242\) | 2.91424 | − | 5.04761i | 0.187334 | − | 0.324473i | ||||
\(243\) | −14.3739 | + | 6.03239i | −0.922089 | + | 0.386978i | ||||
\(244\) | −1.42843 | −0.0914460 | ||||||||
\(245\) | −14.4963 | − | 2.94609i | −0.926136 | − | 0.188219i | ||||
\(246\) | 12.3087 | − | 3.65848i | 0.784777 | − | 0.233256i | ||||
\(247\) | −22.4016 | − | 18.7971i | −1.42538 | − | 1.19603i | ||||
\(248\) | −6.65708 | + | 2.42298i | −0.422725 | + | 0.153859i | ||||
\(249\) | 1.73078 | + | 0.104242i | 0.109684 | + | 0.00660610i | ||||
\(250\) | 2.03084 | + | 11.5175i | 0.128442 | + | 0.728428i | ||||
\(251\) | 8.80203 | + | 15.2456i | 0.555579 | + | 0.962292i | 0.997858 | + | 0.0654140i | \(0.0208368\pi\) |
−0.442279 | + | 0.896878i | \(0.645830\pi\) | |||||||
\(252\) | −7.87181 | + | 1.01717i | −0.495877 | + | 0.0640755i | ||||
\(253\) | 6.42380 | − | 11.1263i | 0.403861 | − | 0.699507i | ||||
\(254\) | −17.7735 | − | 6.46901i | −1.11521 | − | 0.405902i | ||||
\(255\) | −0.459915 | − | 4.00349i | −0.0288010 | − | 0.250708i | ||||
\(256\) | 0.766044 | + | 0.642788i | 0.0478778 | + | 0.0401742i | ||||
\(257\) | 4.30276 | − | 1.56608i | 0.268399 | − | 0.0976892i | −0.204315 | − | 0.978905i | \(-0.565497\pi\) |
0.472714 | + | 0.881216i | \(0.343274\pi\) | |||||||
\(258\) | −10.1736 | − | 4.41237i | −0.633383 | − | 0.274702i | ||||
\(259\) | 20.3203 | + | 20.8550i | 1.26265 | + | 1.29586i | ||||
\(260\) | −4.71377 | + | 8.16449i | −0.292336 | + | 0.506340i | ||||
\(261\) | −4.44803 | + | 14.6463i | −0.275326 | + | 0.906582i | ||||
\(262\) | −14.2714 | −0.881691 | ||||||||
\(263\) | −16.3333 | + | 13.7053i | −1.00716 | + | 0.845105i | −0.987960 | − | 0.154711i | \(-0.950555\pi\) |
−0.0191967 | + | 0.999816i | \(0.506111\pi\) | |||||||
\(264\) | −1.76079 | − | 3.52338i | −0.108369 | − | 0.216849i | ||||
\(265\) | 7.61506 | + | 6.38980i | 0.467790 | + | 0.392522i | ||||
\(266\) | −10.1311 | + | 14.0762i | −0.621178 | + | 0.863066i | ||||
\(267\) | 10.2107 | + | 9.67156i | 0.624886 | + | 0.591890i | ||||
\(268\) | −5.47003 | + | 4.58990i | −0.334135 | + | 0.280373i | ||||
\(269\) | −11.0845 | + | 19.1990i | −0.675836 | + | 1.17058i | 0.300387 | + | 0.953817i | \(0.402884\pi\) |
−0.976224 | + | 0.216766i | \(0.930449\pi\) | |||||||
\(270\) | 10.8024 | + | 1.97092i | 0.657412 | + | 0.119947i | ||||
\(271\) | −10.0283 | − | 17.3695i | −0.609175 | − | 1.05512i | −0.991377 | − | 0.131044i | \(-0.958167\pi\) |
0.382201 | − | 0.924079i | \(-0.375166\pi\) | |||||||
\(272\) | −0.191182 | − | 1.08425i | −0.0115921 | − | 0.0657422i | ||||
\(273\) | −7.26285 | − | 19.1101i | −0.439568 | − | 1.15660i | ||||
\(274\) | 17.3970 | − | 6.33198i | 1.05099 | − | 0.382529i | ||||
\(275\) | 0.210963 | − | 1.19643i | 0.0127216 | − | 0.0721475i | ||||
\(276\) | 4.37432 | + | 8.75312i | 0.263303 | + | 0.526876i | ||||
\(277\) | −4.50657 | + | 3.78146i | −0.270774 | + | 0.227206i | −0.768056 | − | 0.640383i | \(-0.778776\pi\) |
0.497282 | + | 0.867589i | \(0.334331\pi\) | |||||||
\(278\) | −0.475820 | + | 0.824144i | −0.0285378 | + | 0.0494289i | ||||
\(279\) | −12.7587 | + | 16.9971i | −0.763845 | + | 1.01759i | ||||
\(280\) | 5.03615 | + | 2.42849i | 0.300968 | + | 0.145130i | ||||
\(281\) | −23.2653 | + | 19.5219i | −1.38789 | + | 1.16458i | −0.421706 | + | 0.906733i | \(0.638569\pi\) |
−0.966186 | + | 0.257847i | \(0.916987\pi\) | |||||||
\(282\) | 10.0463 | − | 7.44834i | 0.598247 | − | 0.443542i | ||||
\(283\) | 0.119444 | + | 0.100226i | 0.00710023 | + | 0.00595780i | 0.646331 | − | 0.763057i | \(-0.276303\pi\) |
−0.639231 | + | 0.769015i | \(0.720747\pi\) | |||||||
\(284\) | 4.19682 | + | 3.52155i | 0.249036 | + | 0.208966i | ||||
\(285\) | 19.2736 | − | 14.2895i | 1.14167 | − | 0.846435i | ||||
\(286\) | 7.77165 | − | 6.52119i | 0.459547 | − | 0.385606i | ||||
\(287\) | 16.2123 | − | 11.0411i | 0.956979 | − | 0.651734i | ||||
\(288\) | 2.97831 | + | 0.360065i | 0.175499 | + | 0.0212170i | ||||
\(289\) | 7.89393 | − | 13.6727i | 0.464349 | − | 0.804276i | ||||
\(290\) | 8.25973 | − | 6.93073i | 0.485028 | − | 0.406987i | ||||
\(291\) | 0.614230 | + | 1.22909i | 0.0360068 | + | 0.0720505i | ||||
\(292\) | 2.26828 | − | 12.8641i | 0.132741 | − | 0.752813i | ||||
\(293\) | 5.17996 | − | 1.88535i | 0.302617 | − | 0.110143i | −0.186249 | − | 0.982503i | \(-0.559633\pi\) |
0.488866 | + | 0.872359i | \(0.337411\pi\) | |||||||
\(294\) | −10.9825 | + | 5.13654i | −0.640514 | + | 0.299569i | ||||
\(295\) | −1.25931 | − | 7.14191i | −0.0733199 | − | 0.415818i | ||||
\(296\) | −5.50275 | − | 9.53104i | −0.319841 | − | 0.553980i | ||||
\(297\) | −10.1982 | − | 5.96891i | −0.591759 | − | 0.346351i | ||||
\(298\) | −8.93157 | + | 15.4699i | −0.517392 | + | 0.896149i | ||||
\(299\) | −19.3071 | + | 16.2006i | −1.11656 | + | 0.936904i | ||||
\(300\) | 0.671789 | + | 0.636317i | 0.0387858 | + | 0.0367378i | ||||
\(301\) | −16.8541 | − | 1.69530i | −0.971454 | − | 0.0977155i | ||||
\(302\) | 4.80116 | + | 4.02865i | 0.276275 | + | 0.231823i | ||||
\(303\) | 8.52771 | + | 17.0642i | 0.489904 | + | 0.980310i | ||||
\(304\) | 5.02144 | − | 4.21349i | 0.287999 | − | 0.241660i | ||||
\(305\) | 3.01862 | 0.172845 | ||||||||
\(306\) | −2.25708 | − | 2.41141i | −0.129029 | − | 0.137851i | ||||
\(307\) | −6.56559 | + | 11.3719i | −0.374718 | + | 0.649031i | −0.990285 | − | 0.139054i | \(-0.955594\pi\) |
0.615567 | + | 0.788085i | \(0.288927\pi\) | |||||||
\(308\) | −4.19885 | − | 4.30932i | −0.239252 | − | 0.245546i | ||||
\(309\) | −24.8444 | − | 10.7752i | −1.41335 | − | 0.612978i | ||||
\(310\) | 14.0680 | − | 5.12033i | 0.799008 | − | 0.290815i | ||||
\(311\) | −5.34788 | − | 4.48740i | −0.303250 | − | 0.254457i | 0.478445 | − | 0.878117i | \(-0.341200\pi\) |
−0.781696 | + | 0.623660i | \(0.785645\pi\) | |||||||
\(312\) | 0.881866 | + | 7.67651i | 0.0499258 | + | 0.434597i | ||||
\(313\) | −9.27538 | − | 3.37596i | −0.524276 | − | 0.190821i | 0.0663049 | − | 0.997799i | \(-0.478879\pi\) |
−0.590581 | + | 0.806979i | \(0.701101\pi\) | |||||||
\(314\) | −3.45187 | + | 5.97881i | −0.194800 | + | 0.337404i | ||||
\(315\) | 16.6350 | − | 2.14952i | 0.937276 | − | 0.121111i | ||||
\(316\) | −2.86476 | − | 4.96190i | −0.161155 | − | 0.279129i | ||||
\(317\) | −4.20287 | − | 23.8357i | −0.236057 | − | 1.33874i | −0.840377 | − | 0.542002i | \(-0.817666\pi\) |
0.604320 | − | 0.796742i | \(-0.293445\pi\) | |||||||
\(318\) | 8.13290 | + | 0.489833i | 0.456071 | + | 0.0274685i | ||||
\(319\) | −10.9033 | + | 3.96848i | −0.610468 | + | 0.222192i | ||||
\(320\) | −1.61883 | − | 1.35836i | −0.0904955 | − | 0.0759348i | ||||
\(321\) | −18.6187 | + | 5.53397i | −1.03920 | + | 0.308876i | ||||
\(322\) | 10.4312 | + | 10.7056i | 0.581308 | + | 0.596602i | ||||
\(323\) | −7.21691 | −0.401560 | ||||||||
\(324\) | 8.07440 | − | 3.97542i | 0.448578 | − | 0.220857i | ||||
\(325\) | −1.19165 | + | 2.06399i | −0.0661006 | + | 0.114490i | ||||
\(326\) | 14.5103 | + | 5.28132i | 0.803651 | + | 0.292505i | ||||
\(327\) | 8.10146 | + | 7.67368i | 0.448012 | + | 0.424355i | ||||
\(328\) | −6.96662 | + | 2.53564i | −0.384667 | + | 0.140007i | ||||
\(329\) | 11.1596 | − | 15.5051i | 0.615248 | − | 0.854826i | ||||
\(330\) | 3.72096 | + | 7.44573i | 0.204832 | + | 0.409874i | ||||
\(331\) | −4.39867 | − | 24.9461i | −0.241773 | − | 1.37116i | −0.827869 | − | 0.560921i | \(-0.810447\pi\) |
0.586096 | − | 0.810241i | \(-0.300664\pi\) | |||||||
\(332\) | −1.00108 | −0.0549413 | ||||||||
\(333\) | −29.4457 | − | 14.9344i | −1.61362 | − | 0.818399i | ||||
\(334\) | −0.163361 | −0.00893873 | ||||||||
\(335\) | 11.5595 | − | 9.69955i | 0.631562 | − | 0.529943i | ||||
\(336\) | 4.50126 | − | 0.859430i | 0.245564 | − | 0.0468858i | ||||
\(337\) | 3.37701 | − | 19.1520i | 0.183958 | − | 1.04328i | −0.743330 | − | 0.668925i | \(-0.766755\pi\) |
0.927287 | − | 0.374350i | \(-0.122134\pi\) | |||||||
\(338\) | −6.48592 | + | 2.36068i | −0.352788 | + | 0.128404i | ||||
\(339\) | 17.3992 | − | 12.8998i | 0.944996 | − | 0.700622i | ||||
\(340\) | 0.404013 | + | 2.29127i | 0.0219107 | + | 0.124262i | ||||
\(341\) | −16.1104 | −0.872428 | ||||||||
\(342\) | 5.71450 | − | 18.8165i | 0.309005 | − | 1.01748i | ||||
\(343\) | −13.5958 | + | 12.5759i | −0.734105 | + | 0.679036i | ||||
\(344\) | 6.01628 | + | 2.18975i | 0.324376 | + | 0.118063i | ||||
\(345\) | −9.24398 | − | 18.4974i | −0.497679 | − | 0.995868i | ||||
\(346\) | −15.0954 | + | 5.49426i | −0.811532 | + | 0.295373i | ||||
\(347\) | 2.95191 | − | 16.7411i | 0.158467 | − | 0.898711i | −0.797080 | − | 0.603873i | \(-0.793623\pi\) |
0.955547 | − | 0.294838i | \(-0.0952655\pi\) | |||||||
\(348\) | 2.05505 | − | 8.59513i | 0.110162 | − | 0.460747i | ||||
\(349\) | −3.12520 | − | 17.7239i | −0.167288 | − | 0.948737i | −0.946674 | − | 0.322193i | \(-0.895580\pi\) |
0.779386 | − | 0.626544i | \(-0.215531\pi\) | |||||||
\(350\) | 1.27314 | + | 0.613925i | 0.0680525 | + | 0.0328157i | ||||
\(351\) | 14.7948 | + | 17.8458i | 0.789688 | + | 0.952538i | ||||
\(352\) | 1.13705 | + | 1.96943i | 0.0606049 | + | 0.104971i | ||||
\(353\) | 31.4637 | + | 11.4519i | 1.67465 | + | 0.609521i | 0.992561 | − | 0.121752i | \(-0.0388513\pi\) |
0.682085 | + | 0.731273i | \(0.261074\pi\) | |||||||
\(354\) | −4.31539 | − | 4.08753i | −0.229361 | − | 0.217250i | ||||
\(355\) | −8.86888 | − | 7.44187i | −0.470711 | − | 0.394974i | ||||
\(356\) | −6.22020 | − | 5.21936i | −0.329670 | − | 0.276626i | ||||
\(357\) | −4.40456 | − | 2.46067i | −0.233114 | − | 0.130233i | ||||
\(358\) | −4.93462 | − | 1.79606i | −0.260803 | − | 0.0949245i | ||||
\(359\) | 9.60803 | − | 16.6416i | 0.507092 | − | 0.878310i | −0.492874 | − | 0.870101i | \(-0.664054\pi\) |
0.999966 | − | 0.00820914i | \(-0.00261308\pi\) | |||||||
\(360\) | −6.29388 | − | 0.760903i | −0.331717 | − | 0.0401031i | ||||
\(361\) | −11.9842 | − | 20.7572i | −0.630745 | − | 1.09248i | ||||
\(362\) | 15.2267 | + | 5.54207i | 0.800298 | + | 0.291285i | ||||
\(363\) | 1.15215 | + | 10.0293i | 0.0604720 | + | 0.526400i | ||||
\(364\) | 4.84894 | + | 10.7612i | 0.254154 | + | 0.564039i | ||||
\(365\) | −4.79342 | + | 27.1848i | −0.250899 | + | 1.42292i | ||||
\(366\) | 1.98747 | − | 1.47351i | 0.103887 | − | 0.0770217i | ||||
\(367\) | −3.22893 | − | 18.3122i | −0.168549 | − | 0.955887i | −0.945330 | − | 0.326116i | \(-0.894260\pi\) |
0.776781 | − | 0.629771i | \(-0.216851\pi\) | |||||||
\(368\) | −2.82477 | − | 4.89264i | −0.147251 | − | 0.255047i | ||||
\(369\) | −13.3520 | + | 17.7875i | −0.695076 | + | 0.925978i | ||||
\(370\) | 11.6286 | + | 20.1413i | 0.604543 | + | 1.04710i | ||||
\(371\) | 12.0625 | − | 3.06484i | 0.626252 | − | 0.159119i | ||||
\(372\) | 6.76296 | − | 10.2384i | 0.350643 | − | 0.530836i | ||||
\(373\) | 4.11853 | − | 23.3573i | 0.213249 | − | 1.20940i | −0.670670 | − | 0.741756i | \(-0.733993\pi\) |
0.883919 | − | 0.467640i | \(-0.154896\pi\) | |||||||
\(374\) | 0.434767 | − | 2.46569i | 0.0224813 | − | 0.127498i | ||||
\(375\) | −14.7066 | − | 13.9300i | −0.759444 | − | 0.719343i | ||||
\(376\) | −5.53120 | + | 4.64123i | −0.285250 | + | 0.239353i | ||||
\(377\) | 22.7622 | 1.17231 | ||||||||
\(378\) | 9.90326 | − | 9.53548i | 0.509369 | − | 0.490452i | ||||
\(379\) | −2.81922 | −0.144814 | −0.0724069 | − | 0.997375i | \(-0.523068\pi\) | ||||
−0.0724069 | + | 0.997375i | \(0.523068\pi\) | |||||||
\(380\) | −10.6115 | + | 8.90410i | −0.544358 | + | 0.456771i | ||||
\(381\) | 31.4025 | − | 9.33364i | 1.60880 | − | 0.478177i | ||||
\(382\) | 0.818012 | − | 4.63918i | 0.0418531 | − | 0.237361i | ||||
\(383\) | 1.08220 | − | 6.13744i | 0.0552977 | − | 0.313609i | −0.944595 | − | 0.328237i | \(-0.893545\pi\) |
0.999893 | + | 0.0146286i | \(0.00465659\pi\) | |||||||
\(384\) | −1.72892 | − | 0.104130i | −0.0882285 | − | 0.00531387i | ||||
\(385\) | 8.87317 | + | 9.10662i | 0.452219 | + | 0.464116i | ||||
\(386\) | −3.37970 | − | 5.85382i | −0.172022 | − | 0.297951i | ||||
\(387\) | 18.7068 | − | 4.35550i | 0.950921 | − | 0.221403i | ||||
\(388\) | −0.396646 | − | 0.687012i | −0.0201367 | − | 0.0348777i | ||||
\(389\) | 4.14974 | + | 23.5343i | 0.210400 | + | 1.19324i | 0.888712 | + | 0.458465i | \(0.151601\pi\) |
−0.678312 | + | 0.734774i | \(0.737288\pi\) | |||||||
\(390\) | −1.86359 | − | 16.2223i | −0.0943666 | − | 0.821448i | ||||
\(391\) | −1.08009 | + | 6.12550i | −0.0546225 | + | 0.309780i | ||||
\(392\) | 6.15101 | − | 3.34142i | 0.310673 | − | 0.168767i | ||||
\(393\) | 19.8567 | − | 14.7218i | 1.00164 | − | 0.742617i | ||||
\(394\) | 9.42305 | + | 3.42971i | 0.474727 | + | 0.172786i | ||||
\(395\) | 6.05391 | + | 10.4857i | 0.304605 | + | 0.527592i | ||||
\(396\) | 6.08446 | + | 3.08594i | 0.305756 | + | 0.155074i | ||||
\(397\) | −4.31954 | + | 7.48166i | −0.216791 | + | 0.375494i | −0.953825 | − | 0.300362i | \(-0.902892\pi\) |
0.737034 | + | 0.675856i | \(0.236226\pi\) | |||||||
\(398\) | 3.89051 | + | 1.41603i | 0.195014 | + | 0.0709792i | ||||
\(399\) | −0.424356 | − | 30.0359i | −0.0212444 | − | 1.50368i | ||||
\(400\) | −0.409243 | − | 0.343396i | −0.0204621 | − | 0.0171698i | ||||
\(401\) | 4.32069 | + | 3.62549i | 0.215765 | + | 0.181048i | 0.744264 | − | 0.667886i | \(-0.232800\pi\) |
−0.528499 | + | 0.848934i | \(0.677245\pi\) | |||||||
\(402\) | 2.87604 | − | 12.0289i | 0.143444 | − | 0.599946i | ||||
\(403\) | 29.6985 | + | 10.8094i | 1.47939 | + | 0.538452i | ||||
\(404\) | −5.50687 | − | 9.53817i | −0.273977 | − | 0.474542i | ||||
\(405\) | −17.0631 | + | 8.40102i | −0.847874 | + | 0.417450i | ||||
\(406\) | −1.00185 | − | 13.4621i | −0.0497211 | − | 0.668113i | ||||
\(407\) | −4.34599 | − | 24.6473i | −0.215423 | − | 1.22172i | ||||
\(408\) | 1.38447 | + | 1.31137i | 0.0685414 | + | 0.0649223i | ||||
\(409\) | 1.94279 | − | 11.0181i | 0.0960647 | − | 0.544810i | −0.898351 | − | 0.439278i | \(-0.855234\pi\) |
0.994416 | − | 0.105532i | \(-0.0336545\pi\) | |||||||
\(410\) | 14.7221 | − | 5.35841i | 0.727073 | − | 0.264633i | ||||
\(411\) | −17.6737 | + | 26.7561i | −0.871777 | + | 1.31978i | ||||
\(412\) | 14.6920 | + | 5.34744i | 0.723822 | + | 0.263450i | ||||
\(413\) | −8.17834 | − | 3.94369i | −0.402430 | − | 0.194056i | ||||
\(414\) | −15.1156 | − | 7.66639i | −0.742892 | − | 0.376782i | ||||
\(415\) | 2.11551 | 0.103846 | ||||||||
\(416\) | −0.774677 | − | 4.39341i | −0.0379816 | − | 0.215405i | ||||
\(417\) | −0.188116 | − | 1.63752i | −0.00921206 | − | 0.0801897i | ||||
\(418\) | 14.0078 | − | 5.09841i | 0.685142 | − | 0.249371i | ||||
\(419\) | 6.33507 | − | 35.9280i | 0.309488 | − | 1.75520i | −0.292098 | − | 0.956388i | \(-0.594353\pi\) |
0.601587 | − | 0.798808i | \(-0.294535\pi\) | |||||||
\(420\) | −9.51224 | + | 1.81618i | −0.464150 | + | 0.0886205i | ||||
\(421\) | 7.37289 | − | 6.18659i | 0.359333 | − | 0.301516i | −0.445192 | − | 0.895435i | \(-0.646865\pi\) |
0.804525 | + | 0.593919i | \(0.202420\pi\) | |||||||
\(422\) | 7.88616 | 0.383892 | ||||||||
\(423\) | −6.29462 | + | 20.7267i | −0.306055 | + | 1.00776i | ||||
\(424\) | −4.70404 | −0.228449 | ||||||||
\(425\) | 0.102135 | + | 0.579236i | 0.00495427 | + | 0.0280971i | ||||
\(426\) | −9.47198 | − | 0.570484i | −0.458919 | − | 0.0276400i | ||||
\(427\) | 2.20771 | − | 3.06740i | 0.106839 | − | 0.148442i | ||||
\(428\) | 10.5380 | − | 3.83552i | 0.509373 | − | 0.185397i | ||||
\(429\) | −4.08619 | + | 17.0902i | −0.197283 | + | 0.825125i | ||||
\(430\) | −12.7138 | − | 4.62746i | −0.613115 | − | 0.223156i | ||||
\(431\) | −10.4177 | + | 18.0440i | −0.501802 | + | 0.869147i | 0.498195 | + | 0.867065i | \(0.333996\pi\) |
−0.999998 | + | 0.00208252i | \(0.999337\pi\) | |||||||
\(432\) | −4.51534 | + | 2.57132i | −0.217244 | + | 0.123713i | ||||
\(433\) | −5.88744 | −0.282932 | −0.141466 | − | 0.989943i | \(-0.545182\pi\) | ||||
−0.141466 | + | 0.989943i | \(0.545182\pi\) | |||||||
\(434\) | 5.08577 | − | 18.0402i | 0.244125 | − | 0.865955i | ||||
\(435\) | −4.34281 | + | 18.1635i | −0.208222 | + | 0.870875i | ||||
\(436\) | −4.93527 | − | 4.14118i | −0.236357 | − | 0.198327i | ||||
\(437\) | −34.7995 | + | 12.6660i | −1.66469 | + | 0.605896i | ||||
\(438\) | 10.1140 | + | 20.2385i | 0.483268 | + | 0.967031i | ||||
\(439\) | 1.90087 | + | 10.7803i | 0.0907234 | + | 0.514518i | 0.995974 | + | 0.0896403i | \(0.0285717\pi\) |
−0.905251 | + | 0.424878i | \(0.860317\pi\) | |||||||
\(440\) | −2.40285 | − | 4.16186i | −0.114552 | − | 0.198409i | ||||
\(441\) | 9.98202 | − | 18.4759i | 0.475334 | − | 0.879805i | ||||
\(442\) | −2.45583 | + | 4.25361i | −0.116812 | + | 0.202324i | ||||
\(443\) | −8.97627 | − | 3.26710i | −0.426476 | − | 0.155224i | 0.119860 | − | 0.992791i | \(-0.461755\pi\) |
−0.546336 | + | 0.837566i | \(0.683978\pi\) | |||||||
\(444\) | 17.4881 | + | 7.58471i | 0.829950 | + | 0.359955i | ||||
\(445\) | 13.1448 | + | 11.0298i | 0.623121 | + | 0.522861i | ||||
\(446\) | −26.9328 | + | 9.80273i | −1.27530 | + | 0.464173i | ||||
\(447\) | −3.53110 | − | 30.7377i | −0.167015 | − | 1.45384i | ||||
\(448\) | −2.56427 | + | 0.651534i | −0.121151 | + | 0.0307821i | ||||
\(449\) | 11.1673 | − | 19.3423i | 0.527016 | − | 0.912818i | −0.472488 | − | 0.881337i | \(-0.656644\pi\) |
0.999504 | − | 0.0314814i | \(-0.0100225\pi\) | |||||||
\(450\) | −1.59110 | − | 0.192357i | −0.0750052 | − | 0.00906780i | ||||
\(451\) | −16.8595 | −0.793884 | ||||||||
\(452\) | −9.57952 | + | 8.03817i | −0.450583 | + | 0.378084i | ||||
\(453\) | −10.8359 | − | 0.652632i | −0.509116 | − | 0.0306633i | ||||
\(454\) | 12.1284 | + | 10.1769i | 0.569213 | + | 0.477626i | ||||
\(455\) | −10.2470 | − | 22.7409i | −0.480385 | − | 1.06611i | ||||
\(456\) | −2.64018 | + | 11.0424i | −0.123638 | + | 0.517107i | ||||
\(457\) | −18.4967 | + | 15.5206i | −0.865239 | + | 0.726021i | −0.963090 | − | 0.269180i | \(-0.913247\pi\) |
0.0978513 | + | 0.995201i | \(0.468803\pi\) | |||||||
\(458\) | 5.81207 | − | 10.0668i | 0.271580 | − | 0.470391i | ||||
\(459\) | 5.62792 | + | 1.02683i | 0.262689 | + | 0.0479283i | ||||
\(460\) | 5.96941 | + | 10.3393i | 0.278325 | + | 0.482073i | ||||
\(461\) | −2.93414 | − | 16.6404i | −0.136657 | − | 0.775019i | −0.973692 | − | 0.227869i | \(-0.926824\pi\) |
0.837035 | − | 0.547149i | \(-0.184287\pi\) | |||||||
\(462\) | 10.2874 | + | 1.66446i | 0.478615 | + | 0.0774378i | ||||
\(463\) | −19.7896 | + | 7.20282i | −0.919701 | + | 0.334744i | −0.758119 | − | 0.652116i | \(-0.773882\pi\) |
−0.161581 | + | 0.986859i | \(0.551659\pi\) | |||||||
\(464\) | −0.886000 | + | 5.02476i | −0.0411315 | + | 0.233268i | ||||
\(465\) | −14.2917 | + | 21.6362i | −0.662763 | + | 1.00335i | ||||
\(466\) | 1.31108 | − | 1.10013i | 0.0607347 | − | 0.0509625i | ||||
\(467\) | −13.0994 | + | 22.6888i | −0.606167 | + | 1.04991i | 0.385698 | + | 0.922625i | \(0.373961\pi\) |
−0.991866 | + | 0.127288i | \(0.959373\pi\) | |||||||
\(468\) | −9.14577 | − | 9.77111i | −0.422763 | − | 0.451670i | ||||
\(469\) | −1.40209 | − | 18.8402i | −0.0647426 | − | 0.869960i | ||||
\(470\) | 11.6887 | − | 9.80801i | 0.539161 | − | 0.452410i | ||||
\(471\) | −1.36470 | − | 11.8795i | −0.0628819 | − | 0.547378i | ||||
\(472\) | 2.62887 | + | 2.20588i | 0.121003 | + | 0.101534i | ||||
\(473\) | 11.1534 | + | 9.35877i | 0.512832 | + | 0.430317i | ||||
\(474\) | 9.10441 | + | 3.94864i | 0.418179 | + | 0.181367i | ||||
\(475\) | −2.68260 | + | 2.25097i | −0.123086 | + | 0.103281i | ||||
\(476\) | 2.62378 | + | 1.26522i | 0.120261 | + | 0.0579911i | ||||
\(477\) | −11.8211 | + | 7.70803i | −0.541251 | + | 0.352927i | ||||
\(478\) | 0.960447 | − | 1.66354i | 0.0439298 | − | 0.0760887i | ||||
\(479\) | −19.9626 | + | 16.7506i | −0.912115 | + | 0.765355i | −0.972520 | − | 0.232819i | \(-0.925205\pi\) |
0.0604055 | + | 0.998174i | \(0.480761\pi\) | |||||||
\(480\) | 3.65361 | + | 0.220052i | 0.166764 | + | 0.0100439i | ||||
\(481\) | −8.52570 | + | 48.3516i | −0.388738 | + | 2.20465i | ||||
\(482\) | −14.4568 | + | 5.26183i | −0.658487 | + | 0.239670i | ||||
\(483\) | −25.5571 | − | 4.13502i | −1.16289 | − | 0.188150i | ||||
\(484\) | −1.01211 | − | 5.73993i | −0.0460048 | − | 0.260906i | ||||
\(485\) | 0.838208 | + | 1.45182i | 0.0380611 | + | 0.0659237i | ||||
\(486\) | −7.13353 | + | 13.8605i | −0.323584 | + | 0.628724i | ||||
\(487\) | 5.52175 | − | 9.56395i | 0.250214 | − | 0.433384i | −0.713370 | − | 0.700787i | \(-0.752832\pi\) |
0.963585 | + | 0.267403i | \(0.0861655\pi\) | |||||||
\(488\) | −1.09424 | + | 0.918179i | −0.0495340 | + | 0.0415640i | ||||
\(489\) | −25.6371 | + | 7.62000i | −1.15935 | + | 0.344588i | ||||
\(490\) | −12.9985 | + | 7.06122i | −0.587214 | + | 0.318994i | ||||
\(491\) | 5.21300 | + | 4.37422i | 0.235259 | + | 0.197406i | 0.752794 | − | 0.658256i | \(-0.228706\pi\) |
−0.517535 | + | 0.855662i | \(0.673150\pi\) | |||||||
\(492\) | 7.07742 | − | 10.7145i | 0.319075 | − | 0.483045i | ||||
\(493\) | 4.30323 | − | 3.61084i | 0.193808 | − | 0.162624i | ||||
\(494\) | −29.2432 | −1.31571 | ||||||||
\(495\) | −12.8579 | − | 6.52132i | −0.577920 | − | 0.293111i | ||||
\(496\) | −3.54216 | + | 6.13519i | −0.159048 | + | 0.275478i | ||||
\(497\) | −14.0485 | + | 3.56947i | −0.630163 | + | 0.160113i | ||||
\(498\) | 1.39286 | − | 1.03267i | 0.0624156 | − | 0.0462750i | ||||
\(499\) | 32.5393 | − | 11.8433i | 1.45666 | − | 0.530180i | 0.512216 | − | 0.858857i | \(-0.328825\pi\) |
0.944443 | + | 0.328677i | \(0.106603\pi\) | |||||||
\(500\) | 8.95900 | + | 7.51749i | 0.400658 | + | 0.336192i | ||||
\(501\) | 0.227295 | − | 0.168517i | 0.0101548 | − | 0.00752877i | ||||
\(502\) | 16.5424 | + | 6.02094i | 0.738324 | + | 0.268728i | ||||
\(503\) | 17.7568 | − | 30.7556i | 0.791735 | − | 1.37133i | −0.133157 | − | 0.991095i | \(-0.542511\pi\) |
0.924892 | − | 0.380231i | \(-0.124155\pi\) | |||||||
\(504\) | −5.37633 | + | 5.83910i | −0.239481 | + | 0.260094i | ||||
\(505\) | 11.6373 | + | 20.1564i | 0.517854 | + | 0.896949i | ||||
\(506\) | −2.23096 | − | 12.6524i | −0.0991784 | − | 0.562468i | ||||
\(507\) | 6.58908 | − | 9.97517i | 0.292631 | − | 0.443013i | ||||
\(508\) | −17.7735 | + | 6.46901i | −0.788570 | + | 0.287016i | ||||
\(509\) | 22.2248 | + | 18.6488i | 0.985096 | + | 0.826593i | 0.984850 | − | 0.173407i | \(-0.0554775\pi\) |
0.000245309 | 1.00000i | \(0.499922\pi\) | ||||||||
\(510\) | −2.92571 | − | 2.77123i | −0.129553 | − | 0.122712i | ||||
\(511\) | 24.1184 | + | 24.7530i | 1.06694 | + | 1.09501i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 11.4594 | + | 32.0753i | 0.505943 | + | 1.41616i | ||||
\(514\) | 2.28945 | − | 3.96545i | 0.100983 | − | 0.174908i | ||||
\(515\) | −31.0476 | − | 11.3004i | −1.36812 | − | 0.497956i | ||||
\(516\) | −10.6297 | + | 3.15942i | −0.467945 | + | 0.139086i | ||||
\(517\) | −15.4298 | + | 5.61599i | −0.678602 | + | 0.246991i | ||||
\(518\) | 28.9716 | + | 2.91416i | 1.27294 | + | 0.128041i | ||||
\(519\) | 15.3355 | − | 23.2163i | 0.673152 | − | 1.01908i | ||||
\(520\) | 1.63708 | + | 9.28432i | 0.0717905 | + | 0.407144i | ||||
\(521\) | 35.9617 | 1.57551 | 0.787754 | − | 0.615989i | \(-0.211244\pi\) | ||||
0.787754 | + | 0.615989i | \(0.211244\pi\) | |||||||
\(522\) | 6.00706 | + | 14.0788i | 0.262922 | + | 0.616214i | ||||
\(523\) | −2.17303 | −0.0950199 | −0.0475100 | − | 0.998871i | \(-0.515129\pi\) | ||||
−0.0475100 | + | 0.998871i | \(0.515129\pi\) | |||||||
\(524\) | −10.9325 | + | 9.17349i | −0.477590 | + | 0.400746i | ||||
\(525\) | −2.40470 | + | 0.459132i | −0.104950 | + | 0.0200382i | ||||
\(526\) | −3.70247 | + | 20.9977i | −0.161435 | + | 0.915544i | ||||
\(527\) | 7.32927 | − | 2.66764i | 0.319268 | − | 0.116204i | ||||
\(528\) | −3.61362 | − | 1.56725i | −0.157263 | − | 0.0682059i | ||||
\(529\) | 1.54847 | + | 8.78180i | 0.0673247 | + | 0.381817i | ||||
\(530\) | 9.94076 | 0.431799 | ||||||||
\(531\) | 10.2208 | + | 1.23565i | 0.443545 | + | 0.0536227i | ||||
\(532\) | 1.28711 | + | 17.2951i | 0.0558032 | + | 0.749839i | ||||
\(533\) | 31.0794 | + | 11.3120i | 1.34620 | + | 0.489976i | ||||
\(534\) | 14.0386 | + | 0.845526i | 0.607511 | + | 0.0365895i | ||||
\(535\) | −22.2693 | + | 8.10535i | −0.962785 | + | 0.350425i | ||||
\(536\) | −1.23996 | + | 7.03214i | −0.0535579 | + | 0.303742i | ||||
\(537\) | 8.71858 | − | 2.59139i | 0.376234 | − | 0.111827i | ||||
\(538\) | 3.84962 | + | 21.8323i | 0.165969 | + | 0.941256i | ||||
\(539\) | 15.7433 | − | 2.35629i | 0.678113 | − | 0.101493i | ||||
\(540\) | 9.54198 | − | 5.43382i | 0.410622 | − | 0.233834i | ||||
\(541\) | 9.39992 | + | 16.2811i | 0.404134 | + | 0.699981i | 0.994220 | − | 0.107359i | \(-0.0342395\pi\) |
−0.590086 | + | 0.807340i | \(0.700906\pi\) | |||||||
\(542\) | −18.8470 | − | 6.85976i | −0.809549 | − | 0.294652i | ||||
\(543\) | −26.9028 | + | 7.99622i | −1.15451 | + | 0.343151i | ||||
\(544\) | −0.843395 | − | 0.707693i | −0.0361603 | − | 0.0303421i | ||||
\(545\) | 10.4294 | + | 8.75130i | 0.446746 | + | 0.374865i | ||||
\(546\) | −17.8474 | − | 9.97073i | −0.763799 | − | 0.426708i | ||||
\(547\) | 8.86581 | + | 3.22689i | 0.379075 | + | 0.137972i | 0.524528 | − | 0.851393i | \(-0.324242\pi\) |
−0.145453 | + | 0.989365i | \(0.546464\pi\) | |||||||
\(548\) | 9.25673 | − | 16.0331i | 0.395428 | − | 0.684901i | ||||
\(549\) | −1.24527 | + | 4.10038i | −0.0531468 | + | 0.175000i | ||||
\(550\) | −0.607444 | − | 1.05212i | −0.0259015 | − | 0.0448627i | ||||
\(551\) | 31.4285 | + | 11.4390i | 1.33890 | + | 0.487319i | ||||
\(552\) | 8.97732 | + | 3.89352i | 0.382100 | + | 0.165719i | ||||
\(553\) | 15.0828 | + | 1.51713i | 0.641384 | + | 0.0645148i | ||||
\(554\) | −1.02156 | + | 5.79353i | −0.0434018 | + | 0.246144i | ||||
\(555\) | −36.9566 | − | 16.0283i | −1.56872 | − | 0.680363i | ||||
\(556\) | 0.165251 | + | 0.937182i | 0.00700818 | + | 0.0397454i | ||||
\(557\) | −22.7094 | − | 39.3339i | −0.962229 | − | 1.66663i | −0.716882 | − | 0.697194i | \(-0.754431\pi\) |
−0.245347 | − | 0.969435i | \(-0.578902\pi\) | |||||||
\(558\) | 1.15179 | + | 21.2217i | 0.0487593 | + | 0.898386i | ||||
\(559\) | −14.2811 | − | 24.7356i | −0.604027 | − | 1.04621i | ||||
\(560\) | 5.41892 | − | 1.37685i | 0.228991 | − | 0.0581824i | ||||
\(561\) | 1.93858 | + | 3.87915i | 0.0818470 | + | 0.163778i | ||||
\(562\) | −5.27382 | + | 29.9093i | −0.222463 | + | 1.26165i | ||||
\(563\) | 3.47345 | − | 19.6989i | 0.146388 | − | 0.830210i | −0.819853 | − | 0.572573i | \(-0.805945\pi\) |
0.966242 | − | 0.257637i | \(-0.0829437\pi\) | |||||||
\(564\) | 2.90820 | − | 12.1634i | 0.122457 | − | 0.512171i | ||||
\(565\) | 20.2438 | − | 16.9866i | 0.851663 | − | 0.714630i | ||||
\(566\) | 0.155924 | 0.00655396 | ||||||||
\(567\) | −3.94262 | + | 23.4831i | −0.165574 | + | 0.986197i | ||||
\(568\) | 5.47856 | 0.229875 | ||||||||
\(569\) | −27.3530 | + | 22.9519i | −1.14670 | + | 0.962193i | −0.999637 | − | 0.0269341i | \(-0.991426\pi\) |
−0.147060 | + | 0.989128i | \(0.546981\pi\) | |||||||
\(570\) | 5.57932 | − | 23.3352i | 0.233692 | − | 0.977404i | ||||
\(571\) | 0.743872 | − | 4.21871i | 0.0311301 | − | 0.176547i | −0.965279 | − | 0.261223i | \(-0.915874\pi\) |
0.996409 | + | 0.0846754i | \(0.0269853\pi\) | |||||||
\(572\) | 1.76169 | − | 9.99104i | 0.0736600 | − | 0.417746i | ||||
\(573\) | 3.64743 | + | 7.29860i | 0.152374 | + | 0.304903i | ||||
\(574\) | 5.32225 | − | 18.8790i | 0.222146 | − | 0.787994i | ||||
\(575\) | 1.50907 | + | 2.61379i | 0.0629327 | + | 0.109003i | ||||
\(576\) | 2.51297 | − | 1.63860i | 0.104707 | − | 0.0682749i | ||||
\(577\) | −4.15106 | − | 7.18985i | −0.172811 | − | 0.299317i | 0.766591 | − | 0.642136i | \(-0.221952\pi\) |
−0.939402 | + | 0.342819i | \(0.888618\pi\) | |||||||
\(578\) | −2.74153 | − | 15.5480i | −0.114033 | − | 0.646712i | ||||
\(579\) | 10.7409 | + | 4.65842i | 0.446378 | + | 0.193597i | ||||
\(580\) | 1.87233 | − | 10.6185i | 0.0777442 | − | 0.440909i | ||||
\(581\) | 1.54722 | − | 2.14970i | 0.0641893 | − | 0.0891846i | ||||
\(582\) | 1.26057 | + | 0.546718i | 0.0522524 | + | 0.0226622i | ||||
\(583\) | −10.0523 | − | 3.65874i | −0.416324 | − | 0.151530i | ||||
\(584\) | −6.53126 | − | 11.3125i | −0.270266 | − | 0.468114i | ||||
\(585\) | 19.3272 | + | 20.6487i | 0.799080 | + | 0.853717i | ||||
\(586\) | 2.75620 | − | 4.77388i | 0.113858 | − | 0.197207i | ||||
\(587\) | −17.7914 | − | 6.47553i | −0.734328 | − | 0.267274i | −0.0523324 | − | 0.998630i | \(-0.516666\pi\) |
−0.681996 | + | 0.731356i | \(0.738888\pi\) | |||||||
\(588\) | −5.11140 | + | 10.9943i | −0.210791 | + | 0.453395i | ||||
\(589\) | 35.5734 | + | 29.8497i | 1.46578 | + | 1.22993i | ||||
\(590\) | −5.55542 | − | 4.66155i | −0.228713 | − | 0.191913i | ||||
\(591\) | −16.6488 | + | 4.94846i | −0.684841 | + | 0.203553i | ||||
\(592\) | −10.3418 | − | 3.76410i | −0.425045 | − | 0.154704i | ||||
\(593\) | −6.46570 | − | 11.1989i | −0.265515 | − | 0.459885i | 0.702184 | − | 0.711996i | \(-0.252209\pi\) |
−0.967698 | + | 0.252111i | \(0.918875\pi\) | |||||||
\(594\) | −11.6490 | + | 1.98282i | −0.477965 | + | 0.0813563i | ||||
\(595\) | −5.54468 | − | 2.67370i | −0.227310 | − | 0.109611i | ||||
\(596\) | 3.10190 | + | 17.5918i | 0.127059 | + | 0.720586i | ||||
\(597\) | −6.87382 | + | 2.04308i | −0.281327 | + | 0.0836177i | ||||
\(598\) | −4.37657 | + | 24.8207i | −0.178971 | + | 1.01500i | ||||
\(599\) | 20.2194 | − | 7.35927i | 0.826144 | − | 0.300692i | 0.105869 | − | 0.994380i | \(-0.466238\pi\) |
0.720275 | + | 0.693688i | \(0.244015\pi\) | |||||||
\(600\) | 0.923637 | + | 0.0556294i | 0.0377073 | + | 0.00227106i | ||||
\(601\) | 12.1343 | + | 4.41654i | 0.494970 | + | 0.180154i | 0.577430 | − | 0.816440i | \(-0.304056\pi\) |
−0.0824604 | + | 0.996594i | \(0.526278\pi\) | |||||||
\(602\) | −14.0007 | + | 9.53493i | −0.570626 | + | 0.388615i | ||||
\(603\) | 8.40687 | + | 19.7033i | 0.342354 | + | 0.802381i | ||||
\(604\) | 6.26746 | 0.255019 | ||||||||
\(605\) | 2.13882 | + | 12.1298i | 0.0869553 | + | 0.493148i | ||||
\(606\) | 17.5012 | + | 7.59039i | 0.710939 | + | 0.308339i | ||||
\(607\) | 19.4004 | − | 7.06116i | 0.787437 | − | 0.286603i | 0.0831665 | − | 0.996536i | \(-0.473497\pi\) |
0.704270 | + | 0.709932i | \(0.251274\pi\) | |||||||
\(608\) | 1.13827 | − | 6.45544i | 0.0461628 | − | 0.261803i | ||||
\(609\) | 15.2809 | + | 17.6972i | 0.619213 | + | 0.717126i | ||||
\(610\) | 2.31239 | − | 1.94033i | 0.0936261 | − | 0.0785616i | ||||
\(611\) | 32.2118 | 1.30315 | ||||||||
\(612\) | −3.27905 | − | 0.396423i | −0.132548 | − | 0.0160244i | ||||
\(613\) | 5.93262 | 0.239616 | 0.119808 | − | 0.992797i | \(-0.461772\pi\) | ||||
0.119808 | + | 0.992797i | \(0.461772\pi\) | |||||||
\(614\) | 2.28021 | + | 12.9317i | 0.0920217 | + | 0.521881i | ||||
\(615\) | −14.9563 | + | 22.6422i | −0.603095 | + | 0.913022i | ||||
\(616\) | −5.98649 | − | 0.602162i | −0.241202 | − | 0.0242618i | ||||
\(617\) | −26.7010 | + | 9.71835i | −1.07494 | + | 0.391246i | −0.818022 | − | 0.575187i | \(-0.804929\pi\) |
−0.256918 | + | 0.966433i | \(0.582707\pi\) | |||||||
\(618\) | −25.9581 | + | 7.71541i | −1.04419 | + | 0.310359i | ||||
\(619\) | −32.7574 | − | 11.9227i | −1.31663 | − | 0.479215i | −0.414254 | − | 0.910161i | \(-0.635958\pi\) |
−0.902378 | + | 0.430946i | \(0.858180\pi\) | |||||||
\(620\) | 7.48542 | − | 12.9651i | 0.300622 | − | 0.520692i | ||||
\(621\) | 28.9396 | − | 4.92593i | 1.16131 | − | 0.197671i | ||||
\(622\) | −6.98116 | −0.279919 | ||||||||
\(623\) | 20.8216 | − | 5.29039i | 0.834201 | − | 0.211955i | ||||
\(624\) | 5.60991 | + | 5.31370i | 0.224576 | + | 0.212718i | ||||
\(625\) | −16.8863 | − | 14.1693i | −0.675451 | − | 0.566770i | ||||
\(626\) | −9.27538 | + | 3.37596i | −0.370719 | + | 0.134931i | ||||
\(627\) | −14.2306 | + | 21.5436i | −0.568314 | + | 0.860367i | ||||
\(628\) | 1.19882 | + | 6.79885i | 0.0478382 | + | 0.271304i | ||||
\(629\) | 6.05838 | + | 10.4934i | 0.241564 | + | 0.418400i | ||||
\(630\) | 11.3615 | − | 12.3394i | 0.452652 | − | 0.491613i | ||||
\(631\) | 6.04573 | − | 10.4715i | 0.240677 | − | 0.416865i | −0.720230 | − | 0.693735i | \(-0.755964\pi\) |
0.960907 | + | 0.276870i | \(0.0892972\pi\) | |||||||
\(632\) | −5.38398 | − | 1.95961i | −0.214163 | − | 0.0779491i | ||||
\(633\) | −10.9725 | + | 8.13504i | −0.436118 | + | 0.323339i | ||||
\(634\) | −18.5409 | − | 15.5576i | −0.736351 | − | 0.617872i | ||||
\(635\) | 37.5596 | − | 13.6706i | 1.49051 | − | 0.542500i | ||||
\(636\) | 6.54502 | − | 4.85250i | 0.259527 | − | 0.192414i | ||||
\(637\) | −30.6027 | − | 6.21939i | −1.21252 | − | 0.246421i | ||||
\(638\) | −5.80153 | + | 10.0485i | −0.229685 | + | 0.397826i | ||||
\(639\) | 13.7674 | − | 8.97716i | 0.544632 | − | 0.355131i | ||||
\(640\) | −2.11324 | −0.0835330 | ||||||||
\(641\) | −33.4256 | + | 28.0474i | −1.32023 | + | 1.10780i | −0.333974 | + | 0.942582i | \(0.608390\pi\) |
−0.986256 | + | 0.165222i | \(0.947166\pi\) | |||||||
\(642\) | −10.7056 | + | 16.2071i | −0.422516 | + | 0.639645i | ||||
\(643\) | 18.1099 | + | 15.1960i | 0.714183 | + | 0.599271i | 0.925769 | − | 0.378089i | \(-0.123419\pi\) |
−0.211587 | + | 0.977359i | \(0.567863\pi\) | |||||||
\(644\) | 14.8722 | + | 1.49595i | 0.586048 | + | 0.0589487i | ||||
\(645\) | 22.4630 | − | 6.67660i | 0.884481 | − | 0.262891i | ||||
\(646\) | −5.52847 | + | 4.63894i | −0.217515 | + | 0.182517i | ||||
\(647\) | 5.83538 | − | 10.1072i | 0.229412 | − | 0.397354i | −0.728222 | − | 0.685342i | \(-0.759653\pi\) |
0.957634 | + | 0.287988i | \(0.0929862\pi\) | |||||||
\(648\) | 3.63000 | − | 8.23548i | 0.142600 | − | 0.323520i | ||||
\(649\) | 3.90206 | + | 6.75856i | 0.153169 | + | 0.265297i | ||||
\(650\) | 0.413854 | + | 2.34709i | 0.0162327 | + | 0.0920603i | ||||
\(651\) | 11.5333 | + | 30.3467i | 0.452027 | + | 1.18938i | ||||
\(652\) | 14.5103 | − | 5.28132i | 0.568267 | − | 0.206832i | ||||
\(653\) | 3.19388 | − | 18.1134i | 0.124986 | − | 0.708833i | −0.856330 | − | 0.516430i | \(-0.827261\pi\) |
0.981316 | − | 0.192403i | \(-0.0616281\pi\) | |||||||
\(654\) | 11.1386 | + | 0.670863i | 0.435555 | + | 0.0262328i | ||||
\(655\) | 23.1031 | − | 19.3858i | 0.902711 | − | 0.757464i | ||||
\(656\) | −3.70686 | + | 6.42047i | −0.144729 | + | 0.250677i | ||||
\(657\) | −34.9494 | − | 17.7258i | −1.36351 | − | 0.691548i | ||||
\(658\) | −1.41777 | − | 19.0509i | −0.0552704 | − | 0.742681i | ||||
\(659\) | 20.4084 | − | 17.1247i | 0.795000 | − | 0.667084i | −0.151977 | − | 0.988384i | \(-0.548564\pi\) |
0.946978 | + | 0.321300i | \(0.104120\pi\) | |||||||
\(660\) | 7.63645 | + | 3.31197i | 0.297248 | + | 0.128918i | ||||
\(661\) | 27.2686 | + | 22.8811i | 1.06062 | + | 0.889970i | 0.994170 | − | 0.107820i | \(-0.0343869\pi\) |
0.0664541 | + | 0.997789i | \(0.478831\pi\) | |||||||
\(662\) | −19.4046 | − | 16.2824i | −0.754182 | − | 0.632834i | ||||
\(663\) | −0.970911 | − | 8.45164i | −0.0377071 | − | 0.328235i | ||||
\(664\) | −0.766870 | + | 0.643480i | −0.0297603 | + | 0.0249719i | ||||
\(665\) | −2.71996 | − | 36.5487i | −0.105476 | − | 1.41730i | ||||
\(666\) | −32.1564 | + | 7.48696i | −1.24603 | + | 0.290114i | ||||
\(667\) | 14.4127 | − | 24.9636i | 0.558063 | − | 0.966594i | ||||
\(668\) | −0.125142 | + | 0.105007i | −0.00484189 | + | 0.00406283i | ||||
\(669\) | 27.3612 | − | 41.4219i | 1.05784 | − | 1.60146i | ||||
\(670\) | 2.62032 | − | 14.8606i | 0.101232 | − | 0.574114i | ||||
\(671\) | −3.05249 | + | 1.11102i | −0.117840 | + | 0.0428903i | ||||
\(672\) | 2.89574 | − | 3.55172i | 0.111705 | − | 0.137011i | ||||
\(673\) | 2.95225 | + | 16.7430i | 0.113801 | + | 0.645397i | 0.987337 | + | 0.158637i | \(0.0507101\pi\) |
−0.873536 | + | 0.486759i | \(0.838179\pi\) | |||||||
\(674\) | −9.72372 | − | 16.8420i | −0.374544 | − | 0.648729i | ||||
\(675\) | 2.41222 | − | 1.37367i | 0.0928465 | − | 0.0528728i | ||||
\(676\) | −3.45109 | + | 5.97746i | −0.132734 | + | 0.229902i | ||||
\(677\) | 12.5981 | − | 10.5711i | 0.484186 | − | 0.406280i | −0.367751 | − | 0.929924i | \(-0.619872\pi\) |
0.851937 | + | 0.523644i | \(0.175428\pi\) | |||||||
\(678\) | 5.03673 | − | 21.0658i | 0.193434 | − | 0.809028i | ||||
\(679\) | 2.08832 | + | 0.210057i | 0.0801423 | + | 0.00806126i | ||||
\(680\) | 1.78229 | + | 1.49552i | 0.0683479 | + | 0.0573507i | ||||
\(681\) | −27.3730 | − | 1.64864i | −1.04894 | − | 0.0631760i | ||||
\(682\) | −12.3413 | + | 10.3556i | −0.472573 | + | 0.396536i | ||||
\(683\) | 44.8958 | 1.71789 | 0.858946 | − | 0.512066i | \(-0.171120\pi\) | ||||
0.858946 | + | 0.512066i | \(0.171120\pi\) | |||||||
\(684\) | −7.71743 | − | 18.0875i | −0.295083 | − | 0.691591i | ||||
\(685\) | −19.5617 | + | 33.8818i | −0.747413 | + | 1.29456i | ||||
\(686\) | −2.33135 | + | 18.3729i | −0.0890115 | + | 0.701482i | ||||
\(687\) | 2.29780 | + | 20.0021i | 0.0876667 | + | 0.763126i | ||||
\(688\) | 6.01628 | − | 2.18975i | 0.229369 | − | 0.0834833i | ||||
\(689\) | 16.0759 | + | 13.4893i | 0.612443 | + | 0.513901i | ||||
\(690\) | −18.9712 | − | 8.22793i | −0.722222 | − | 0.313232i | ||||
\(691\) | −42.6416 | − | 15.5203i | −1.62216 | − | 0.590419i | −0.638371 | − | 0.769729i | \(-0.720391\pi\) |
−0.983793 | + | 0.179309i | \(0.942614\pi\) | |||||||
\(692\) | −8.03208 | + | 13.9120i | −0.305334 | + | 0.528854i | ||||
\(693\) | −16.0305 | + | 8.29623i | −0.608950 | + | 0.315148i | ||||
\(694\) | −8.49969 | − | 14.7219i | −0.322644 | − | 0.558836i | ||||
\(695\) | −0.349214 | − | 1.98049i | −0.0132464 | − | 0.0751242i | ||||
\(696\) | −3.95058 | − | 7.90521i | −0.149746 | − | 0.299646i | ||||
\(697\) | 7.67007 | − | 2.79168i | 0.290524 | − | 0.105742i | ||||
\(698\) | −13.7867 | − | 11.5684i | −0.521835 | − | 0.437872i | ||||
\(699\) | −0.689342 | + | 2.88314i | −0.0260733 | + | 0.109050i | ||||
\(700\) | 1.36991 | − | 0.348068i | 0.0517777 | − | 0.0131557i | ||||
\(701\) | −24.0239 | −0.907369 | −0.453684 | − | 0.891162i | \(-0.649891\pi\) | ||||
−0.453684 | + | 0.891162i | \(0.649891\pi\) | |||||||
\(702\) | 22.8045 | + | 4.16075i | 0.860702 | + | 0.157037i | ||||
\(703\) | −36.0706 | + | 62.4762i | −1.36043 | + | 2.35633i | ||||
\(704\) | 2.13695 | + | 0.777787i | 0.0805394 | + | 0.0293140i | ||||
\(705\) | −6.14572 | + | 25.7041i | −0.231461 | + | 0.968073i | ||||
\(706\) | 31.4637 | − | 11.4519i | 1.18415 | − | 0.430996i | ||||
\(707\) | 28.9933 | + | 2.91635i | 1.09041 | + | 0.109680i | ||||
\(708\) | −5.93320 | − | 0.357348i | −0.222983 | − | 0.0134300i | ||||
\(709\) | 3.73973 | + | 21.2091i | 0.140449 | + | 0.796524i | 0.970909 | + | 0.239447i | \(0.0769661\pi\) |
−0.830461 | + | 0.557077i | \(0.811923\pi\) | |||||||
\(710\) | −11.5775 | −0.434496 | ||||||||
\(711\) | −16.7408 | + | 3.89775i | −0.627828 | + | 0.146177i | ||||
\(712\) | −8.11989 | −0.304306 | ||||||||
\(713\) | 30.6595 | − | 25.7263i | 1.14821 | − | 0.963459i | ||||
\(714\) | −4.95578 | + | 0.946211i | −0.185465 | + | 0.0354111i | ||||
\(715\) | −3.72287 | + | 21.1134i | −0.139227 | + | 0.789598i | ||||
\(716\) | −4.93462 | + | 1.79606i | −0.184415 | + | 0.0671217i | ||||
\(717\) | 0.379713 | + | 3.30535i | 0.0141806 | + | 0.123440i | ||||
\(718\) | −3.33683 | − | 18.9241i | −0.124530 | − | 0.706242i | ||||
\(719\) | −28.9508 | −1.07968 | −0.539842 | − | 0.841766i | \(-0.681516\pi\) | ||||
−0.539842 | + | 0.841766i | \(0.681516\pi\) | |||||||
\(720\) | −5.31049 | + | 3.46274i | −0.197910 | + | 0.129049i | ||||
\(721\) | −34.1902 | + | 23.2846i | −1.27331 | + | 0.867165i | ||||
\(722\) | −22.5228 | − | 8.19764i | −0.838213 | − | 0.305085i | ||||
\(723\) | 14.6867 | − | 22.2341i | 0.546204 | − | 0.826895i | ||||
\(724\) | 15.2267 | − | 5.54207i | 0.565896 | − | 0.205969i | ||||
\(725\) | 0.473326 | − | 2.68437i | 0.0175789 | − | 0.0996949i | ||||
\(726\) | 7.32928 | + | 6.94228i | 0.272015 | + | 0.257652i | ||||
\(727\) | −3.65752 | − | 20.7428i | −0.135650 | − | 0.769309i | −0.974405 | − | 0.224800i | \(-0.927827\pi\) |
0.838755 | − | 0.544509i | \(-0.183284\pi\) | |||||||
\(728\) | 10.6317 | + | 5.12670i | 0.394035 | + | 0.190008i | ||||
\(729\) | −4.37257 | − | 26.6436i | −0.161947 | − | 0.986799i | ||||
\(730\) | 13.8021 | + | 23.9060i | 0.510839 | + | 0.884799i | ||||
\(731\) | −6.62377 | − | 2.41086i | −0.244989 | − | 0.0891687i | ||||
\(732\) | 0.575332 | − | 2.40629i | 0.0212649 | − | 0.0889392i | ||||
\(733\) | 22.9788 | + | 19.2815i | 0.848742 | + | 0.712179i | 0.959512 | − | 0.281667i | \(-0.0908872\pi\) |
−0.110770 | + | 0.993846i | \(0.535332\pi\) | |||||||
\(734\) | −14.2443 | − | 11.9524i | −0.525768 | − | 0.441172i | ||||
\(735\) | 10.8016 | − | 23.2335i | 0.398423 | − | 0.856979i | ||||
\(736\) | −5.30883 | − | 1.93226i | −0.195686 | − | 0.0712239i | ||||
\(737\) | −8.11923 | + | 14.0629i | −0.299076 | + | 0.518014i | ||||
\(738\) | 1.20535 | + | 22.2085i | 0.0443695 | + | 0.817505i | ||||
\(739\) | −11.8669 | − | 20.5541i | −0.436531 | − | 0.756094i | 0.560888 | − | 0.827892i | \(-0.310460\pi\) |
−0.997419 | + | 0.0717974i | \(0.977127\pi\) | |||||||
\(740\) | 21.8546 | + | 7.95444i | 0.803392 | + | 0.292411i | ||||
\(741\) | 40.6878 | − | 30.1660i | 1.49470 | − | 1.10818i | ||||
\(742\) | 7.27033 | − | 10.1014i | 0.266902 | − | 0.370834i | ||||
\(743\) | −3.02135 | + | 17.1349i | −0.110843 | + | 0.628619i | 0.877882 | + | 0.478876i | \(0.158956\pi\) |
−0.988725 | + | 0.149743i | \(0.952155\pi\) | |||||||
\(744\) | −1.40039 | − | 12.1902i | −0.0513409 | − | 0.446915i | ||||
\(745\) | −6.55505 | − | 37.1755i | −0.240159 | − | 1.36201i | ||||
\(746\) | −11.8588 | − | 20.5401i | −0.434182 | − | 0.752026i | ||||
\(747\) | −0.872713 | + | 2.87363i | −0.0319309 | + | 0.105141i | ||||
\(748\) | −1.25186 | − | 2.16829i | −0.0457726 | − | 0.0792804i | ||||
\(749\) | −8.05065 | + | 28.5571i | −0.294165 | + | 1.04346i | ||||
\(750\) | −20.2199 | − | 1.21782i | −0.738328 | − | 0.0444684i | ||||
\(751\) | 7.00257 | − | 39.7135i | 0.255527 | − | 1.44917i | −0.539188 | − | 0.842185i | \(-0.681269\pi\) |
0.794716 | − | 0.606982i | \(-0.207620\pi\) | |||||||
\(752\) | −1.25382 | + | 7.11077i | −0.0457222 | + | 0.259303i | ||||
\(753\) | −29.2274 | + | 8.68715i | −1.06511 | + | 0.316577i | ||||
\(754\) | 17.4368 | − | 14.6312i | 0.635012 | − | 0.532838i | ||||
\(755\) | −13.2446 | −0.482022 | ||||||||
\(756\) | 1.45705 | − | 13.6703i | 0.0529925 | − | 0.497184i | ||||
\(757\) | −22.4182 | −0.814804 | −0.407402 | − | 0.913249i | \(-0.633565\pi\) | ||||
−0.407402 | + | 0.913249i | \(0.633565\pi\) | |||||||
\(758\) | −2.15965 | + | 1.81216i | −0.0784420 | + | 0.0658207i | ||||
\(759\) | 16.1558 | + | 15.3027i | 0.586418 | + | 0.555453i | ||||
\(760\) | −2.40543 | + | 13.6419i | −0.0872541 | + | 0.494843i | ||||
\(761\) | −4.03195 | + | 22.8663i | −0.146158 | + | 0.828903i | 0.820272 | + | 0.571973i | \(0.193822\pi\) |
−0.966430 | + | 0.256929i | \(0.917289\pi\) | |||||||
\(762\) | 18.0562 | − | 27.3351i | 0.654106 | − | 0.990247i | ||||
\(763\) | 16.5204 | − | 4.19753i | 0.598080 | − | 0.151961i | ||||
\(764\) | −2.35537 | − | 4.07962i | −0.0852144 | − | 0.147596i | ||||
\(765\) | 6.92940 | + | 0.837735i | 0.250533 | + | 0.0302884i | ||||
\(766\) | −3.11606 | − | 5.39718i | −0.112588 | − | 0.195008i | ||||
\(767\) | −2.65849 | − | 15.0770i | −0.0959925 | − | 0.544400i | ||||
\(768\) | −1.39136 | + | 1.03156i | −0.0502064 | + | 0.0372232i | ||||
\(769\) | −5.33742 | + | 30.2700i | −0.192472 | + |