Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(121,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([0, 0, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.121");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.bg (of order \(15\), degree \(8\), 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: | \(7.42608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{15})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} + 21x^{14} + 167x^{12} + 653x^{10} + 1350x^{8} + 1472x^{6} + 777x^{4} + 149x^{2} + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 691.1 | ||
Root | \(-2.86648i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 930.691 |
Dual form | 930.2.bg.d.751.1 |
$q$-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 \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{1}{15}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.309017 | − | 0.951057i | 0.218508 | − | 0.672499i | ||||
\(3\) | −0.978148 | − | 0.207912i | −0.564734 | − | 0.120038i | ||||
\(4\) | −0.809017 | − | 0.587785i | −0.404508 | − | 0.293893i | ||||
\(5\) | 0.500000 | + | 0.866025i | 0.223607 | + | 0.387298i | ||||
\(6\) | −0.500000 | + | 0.866025i | −0.204124 | + | 0.353553i | ||||
\(7\) | −0.461080 | + | 0.205286i | −0.174272 | + | 0.0775909i | −0.492018 | − | 0.870585i | \(-0.663741\pi\) |
0.317746 | + | 0.948176i | \(0.397074\pi\) | |||||||
\(8\) | −0.809017 | + | 0.587785i | −0.286031 | + | 0.207813i | ||||
\(9\) | 0.913545 | + | 0.406737i | 0.304515 | + | 0.135579i | ||||
\(10\) | 0.978148 | − | 0.207912i | 0.309317 | − | 0.0657474i | ||||
\(11\) | 0.111410 | − | 1.05999i | 0.0335913 | − | 0.319600i | −0.964804 | − | 0.262970i | \(-0.915298\pi\) |
0.998395 | − | 0.0566297i | \(-0.0180355\pi\) | |||||||
\(12\) | 0.669131 | + | 0.743145i | 0.193161 | + | 0.214527i | ||||
\(13\) | 1.28441 | − | 1.42648i | 0.356231 | − | 0.395635i | −0.538217 | − | 0.842806i | \(-0.680902\pi\) |
0.894448 | + | 0.447171i | \(0.147569\pi\) | |||||||
\(14\) | 0.0527571 | + | 0.501950i | 0.0140999 | + | 0.134152i | ||||
\(15\) | −0.309017 | − | 0.951057i | −0.0797878 | − | 0.245562i | ||||
\(16\) | 0.309017 | + | 0.951057i | 0.0772542 | + | 0.237764i | ||||
\(17\) | −0.267253 | − | 2.54274i | −0.0648184 | − | 0.616706i | −0.977921 | − | 0.208976i | \(-0.932987\pi\) |
0.913102 | − | 0.407730i | \(-0.133680\pi\) | |||||||
\(18\) | 0.669131 | − | 0.743145i | 0.157716 | − | 0.175161i | ||||
\(19\) | 0.589263 | + | 0.654443i | 0.135186 | + | 0.150139i | 0.806937 | − | 0.590638i | \(-0.201124\pi\) |
−0.671750 | + | 0.740778i | \(0.734457\pi\) | |||||||
\(20\) | 0.104528 | − | 0.994522i | 0.0233733 | − | 0.222382i | ||||
\(21\) | 0.493686 | − | 0.104936i | 0.107731 | − | 0.0228990i | ||||
\(22\) | −0.973686 | − | 0.433513i | −0.207591 | − | 0.0924253i | ||||
\(23\) | 3.27538 | − | 2.37971i | 0.682965 | − | 0.496203i | −0.191375 | − | 0.981517i | \(-0.561295\pi\) |
0.874340 | + | 0.485314i | \(0.161295\pi\) | |||||||
\(24\) | 0.913545 | − | 0.406737i | 0.186477 | − | 0.0830248i | ||||
\(25\) | −0.500000 | + | 0.866025i | −0.100000 | + | 0.173205i | ||||
\(26\) | −0.959760 | − | 1.66235i | −0.188225 | − | 0.326014i | ||||
\(27\) | −0.809017 | − | 0.587785i | −0.155695 | − | 0.113119i | ||||
\(28\) | 0.493686 | + | 0.104936i | 0.0932979 | + | 0.0198311i | ||||
\(29\) | 0.692835 | − | 2.13233i | 0.128656 | − | 0.395963i | −0.865893 | − | 0.500229i | \(-0.833249\pi\) |
0.994549 | + | 0.104266i | \(0.0332492\pi\) | |||||||
\(30\) | −1.00000 | −0.182574 | ||||||||
\(31\) | 1.71067 | − | 5.29845i | 0.307245 | − | 0.951630i | ||||
\(32\) | 1.00000 | 0.176777 | ||||||||
\(33\) | −0.329360 | + | 1.01367i | −0.0573343 | + | 0.176457i | ||||
\(34\) | −2.50088 | − | 0.531578i | −0.428897 | − | 0.0911649i | ||||
\(35\) | −0.408323 | − | 0.296664i | −0.0690192 | − | 0.0501454i | ||||
\(36\) | −0.500000 | − | 0.866025i | −0.0833333 | − | 0.144338i | ||||
\(37\) | 4.79593 | − | 8.30680i | 0.788447 | − | 1.36563i | −0.138472 | − | 0.990366i | \(-0.544219\pi\) |
0.926918 | − | 0.375263i | \(-0.122448\pi\) | |||||||
\(38\) | 0.804504 | − | 0.358188i | 0.130508 | − | 0.0581058i | ||||
\(39\) | −1.55293 | + | 1.12827i | −0.248667 | + | 0.180667i | ||||
\(40\) | −0.913545 | − | 0.406737i | −0.144444 | − | 0.0643107i | ||||
\(41\) | 4.07758 | − | 0.866716i | 0.636811 | − | 0.135358i | 0.121817 | − | 0.992553i | \(-0.461128\pi\) |
0.514993 | + | 0.857194i | \(0.327794\pi\) | |||||||
\(42\) | 0.0527571 | − | 0.501950i | 0.00814060 | − | 0.0774526i | ||||
\(43\) | −2.75002 | − | 3.05421i | −0.419374 | − | 0.465762i | 0.496026 | − | 0.868308i | \(-0.334792\pi\) |
−0.915400 | + | 0.402546i | \(0.868125\pi\) | |||||||
\(44\) | −0.713181 | + | 0.792068i | −0.107516 | + | 0.119409i | ||||
\(45\) | 0.104528 | + | 0.994522i | 0.0155822 | + | 0.148255i | ||||
\(46\) | −1.25109 | − | 3.85044i | −0.184462 | − | 0.567717i | ||||
\(47\) | −2.99894 | − | 9.22979i | −0.437440 | − | 1.34630i | −0.890565 | − | 0.454856i | \(-0.849691\pi\) |
0.453125 | − | 0.891447i | \(-0.350309\pi\) | |||||||
\(48\) | −0.104528 | − | 0.994522i | −0.0150874 | − | 0.143547i | ||||
\(49\) | −4.51346 | + | 5.01271i | −0.644780 | + | 0.716101i | ||||
\(50\) | 0.669131 | + | 0.743145i | 0.0946294 | + | 0.105097i | ||||
\(51\) | −0.267253 | + | 2.54274i | −0.0374229 | + | 0.356055i | ||||
\(52\) | −1.87757 | + | 0.399091i | −0.260373 | + | 0.0553439i | ||||
\(53\) | −0.919436 | − | 0.409359i | −0.126294 | − | 0.0562298i | 0.342617 | − | 0.939475i | \(-0.388687\pi\) |
−0.468911 | + | 0.883245i | \(0.655353\pi\) | |||||||
\(54\) | −0.809017 | + | 0.587785i | −0.110093 | + | 0.0799874i | ||||
\(55\) | 0.973686 | − | 0.433513i | 0.131292 | − | 0.0584549i | ||||
\(56\) | 0.252358 | − | 0.437096i | 0.0337227 | − | 0.0584095i | ||||
\(57\) | −0.440320 | − | 0.762656i | −0.0583218 | − | 0.101016i | ||||
\(58\) | −1.81387 | − | 1.31785i | −0.238172 | − | 0.173042i | ||||
\(59\) | −9.41829 | − | 2.00192i | −1.22616 | − | 0.260628i | −0.451074 | − | 0.892487i | \(-0.648959\pi\) |
−0.775083 | + | 0.631859i | \(0.782292\pi\) | |||||||
\(60\) | −0.309017 | + | 0.951057i | −0.0398939 | + | 0.122781i | ||||
\(61\) | 11.2837 | 1.44474 | 0.722368 | − | 0.691509i | \(-0.243054\pi\) | ||||
0.722368 | + | 0.691509i | \(0.243054\pi\) | |||||||
\(62\) | −4.51050 | − | 3.26425i | −0.572835 | − | 0.414561i | ||||
\(63\) | −0.504715 | −0.0635882 | ||||||||
\(64\) | 0.309017 | − | 0.951057i | 0.0386271 | − | 0.118882i | ||||
\(65\) | 1.87757 | + | 0.399091i | 0.232884 | + | 0.0495011i | ||||
\(66\) | 0.862276 | + | 0.626480i | 0.106139 | + | 0.0771144i | ||||
\(67\) | 1.13972 | + | 1.97406i | 0.139240 | + | 0.241170i | 0.927209 | − | 0.374544i | \(-0.122201\pi\) |
−0.787969 | + | 0.615714i | \(0.788868\pi\) | |||||||
\(68\) | −1.27837 | + | 2.21421i | −0.155026 | + | 0.268512i | ||||
\(69\) | −3.69858 | + | 1.64671i | −0.445256 | + | 0.198241i | ||||
\(70\) | −0.408323 | + | 0.296664i | −0.0488040 | + | 0.0354582i | ||||
\(71\) | −8.17500 | − | 3.63974i | −0.970194 | − | 0.431958i | −0.140441 | − | 0.990089i | \(-0.544852\pi\) |
−0.829753 | + | 0.558131i | \(0.811519\pi\) | |||||||
\(72\) | −0.978148 | + | 0.207912i | −0.115276 | + | 0.0245026i | ||||
\(73\) | 0.0271610 | − | 0.258420i | 0.00317896 | − | 0.0302458i | −0.992817 | − | 0.119639i | \(-0.961826\pi\) |
0.995996 | + | 0.0893935i | \(0.0284929\pi\) | |||||||
\(74\) | −6.41821 | − | 7.12815i | −0.746102 | − | 0.828630i | ||||
\(75\) | 0.669131 | − | 0.743145i | 0.0772645 | − | 0.0858110i | ||||
\(76\) | −0.0920519 | − | 0.875815i | −0.0105591 | − | 0.100463i | ||||
\(77\) | 0.166233 | + | 0.511613i | 0.0189440 | + | 0.0583037i | ||||
\(78\) | 0.593165 | + | 1.82557i | 0.0671627 | + | 0.206705i | ||||
\(79\) | 0.784025 | + | 7.45950i | 0.0882097 | + | 0.839260i | 0.945761 | + | 0.324862i | \(0.105318\pi\) |
−0.857552 | + | 0.514398i | \(0.828016\pi\) | |||||||
\(80\) | −0.669131 | + | 0.743145i | −0.0748111 | + | 0.0830861i | ||||
\(81\) | 0.669131 | + | 0.743145i | 0.0743478 | + | 0.0825716i | ||||
\(82\) | 0.435745 | − | 4.14584i | 0.0481200 | − | 0.457831i | ||||
\(83\) | −0.771873 | + | 0.164067i | −0.0847240 | + | 0.0180086i | −0.250079 | − | 0.968226i | \(-0.580456\pi\) |
0.165355 | + | 0.986234i | \(0.447123\pi\) | |||||||
\(84\) | −0.461080 | − | 0.205286i | −0.0503080 | − | 0.0223986i | ||||
\(85\) | 2.06845 | − | 1.50282i | 0.224355 | − | 0.163004i | ||||
\(86\) | −3.75453 | + | 1.67162i | −0.404861 | + | 0.180256i | ||||
\(87\) | −1.12103 | + | 1.94168i | −0.120187 | + | 0.208170i | ||||
\(88\) | 0.532916 | + | 0.923038i | 0.0568090 | + | 0.0983961i | ||||
\(89\) | 4.82338 | + | 3.50439i | 0.511277 | + | 0.371464i | 0.813308 | − | 0.581834i | \(-0.197665\pi\) |
−0.302031 | + | 0.953298i | \(0.597665\pi\) | |||||||
\(90\) | 0.978148 | + | 0.207912i | 0.103106 | + | 0.0219158i | ||||
\(91\) | −0.299379 | + | 0.921395i | −0.0313835 | + | 0.0965884i | ||||
\(92\) | −4.04860 | −0.422095 | ||||||||
\(93\) | −2.77490 | + | 4.82700i | −0.287743 | + | 0.500537i | ||||
\(94\) | −9.70477 | −1.00097 | ||||||||
\(95\) | −0.272133 | + | 0.837538i | −0.0279202 | + | 0.0859296i | ||||
\(96\) | −0.978148 | − | 0.207912i | −0.0998318 | − | 0.0212199i | ||||
\(97\) | 7.01736 | + | 5.09841i | 0.712505 | + | 0.517665i | 0.883981 | − | 0.467523i | \(-0.154854\pi\) |
−0.171476 | + | 0.985188i | \(0.554854\pi\) | |||||||
\(98\) | 3.37263 | + | 5.84157i | 0.340687 | + | 0.590088i | ||||
\(99\) | 0.532916 | − | 0.923038i | 0.0535601 | − | 0.0927688i | ||||
\(100\) | 0.913545 | − | 0.406737i | 0.0913545 | − | 0.0406737i | ||||
\(101\) | 2.93695 | − | 2.13382i | 0.292237 | − | 0.212323i | −0.432000 | − | 0.901874i | \(-0.642192\pi\) |
0.724237 | + | 0.689551i | \(0.242192\pi\) | |||||||
\(102\) | 2.33571 | + | 1.03992i | 0.231269 | + | 0.102968i | ||||
\(103\) | −3.59237 | + | 0.763582i | −0.353967 | + | 0.0752380i | −0.381463 | − | 0.924384i | \(-0.624580\pi\) |
0.0274966 | + | 0.999622i | \(0.491246\pi\) | |||||||
\(104\) | −0.200645 | + | 1.90901i | −0.0196748 | + | 0.187193i | ||||
\(105\) | 0.337720 | + | 0.375077i | 0.0329581 | + | 0.0366037i | ||||
\(106\) | −0.673445 | + | 0.747937i | −0.0654108 | + | 0.0726460i | ||||
\(107\) | −1.81444 | − | 17.2632i | −0.175408 | − | 1.66890i | −0.628786 | − | 0.777579i | \(-0.716448\pi\) |
0.453378 | − | 0.891319i | \(-0.350219\pi\) | |||||||
\(108\) | 0.309017 | + | 0.951057i | 0.0297352 | + | 0.0915155i | ||||
\(109\) | 1.87670 | + | 5.77590i | 0.179756 | + | 0.553231i | 0.999819 | − | 0.0190421i | \(-0.00606165\pi\) |
−0.820063 | + | 0.572273i | \(0.806062\pi\) | |||||||
\(110\) | −0.111410 | − | 1.05999i | −0.0106225 | − | 0.101066i | ||||
\(111\) | −6.41821 | + | 7.12815i | −0.609190 | + | 0.676574i | ||||
\(112\) | −0.337720 | − | 0.375077i | −0.0319116 | − | 0.0354414i | ||||
\(113\) | 0.965814 | − | 9.18911i | 0.0908562 | − | 0.864439i | −0.850262 | − | 0.526360i | \(-0.823556\pi\) |
0.941118 | − | 0.338078i | \(-0.109777\pi\) | |||||||
\(114\) | −0.861395 | + | 0.183095i | −0.0806771 | + | 0.0171484i | ||||
\(115\) | 3.69858 | + | 1.64671i | 0.344894 | + | 0.153557i | ||||
\(116\) | −1.81387 | + | 1.31785i | −0.168413 | + | 0.122359i | ||||
\(117\) | 1.75357 | − | 0.780740i | 0.162118 | − | 0.0721794i | ||||
\(118\) | −4.81435 | + | 8.33870i | −0.443197 | + | 0.767640i | ||||
\(119\) | 0.645215 | + | 1.11755i | 0.0591468 | + | 0.102445i | ||||
\(120\) | 0.809017 | + | 0.587785i | 0.0738528 | + | 0.0536572i | ||||
\(121\) | 9.64845 | + | 2.05084i | 0.877132 | + | 0.186440i | ||||
\(122\) | 3.48687 | − | 10.7315i | 0.315686 | − | 0.971582i | ||||
\(123\) | −4.16867 | −0.375877 | ||||||||
\(124\) | −4.49831 | + | 3.28103i | −0.403960 | + | 0.294646i | ||||
\(125\) | −1.00000 | −0.0894427 | ||||||||
\(126\) | −0.155966 | + | 0.480013i | −0.0138945 | + | 0.0427629i | ||||
\(127\) | 1.65331 | + | 0.351422i | 0.146707 | + | 0.0311836i | 0.280680 | − | 0.959801i | \(-0.409440\pi\) |
−0.133973 | + | 0.990985i | \(0.542773\pi\) | |||||||
\(128\) | −0.809017 | − | 0.587785i | −0.0715077 | − | 0.0519534i | ||||
\(129\) | 2.05492 | + | 3.55923i | 0.180926 | + | 0.313372i | ||||
\(130\) | 0.959760 | − | 1.66235i | 0.0841766 | − | 0.145798i | ||||
\(131\) | 3.48702 | − | 1.55252i | 0.304662 | − | 0.135644i | −0.248711 | − | 0.968578i | \(-0.580007\pi\) |
0.553373 | + | 0.832933i | \(0.313340\pi\) | |||||||
\(132\) | 0.862276 | − | 0.626480i | 0.0750515 | − | 0.0545281i | ||||
\(133\) | −0.406046 | − | 0.180783i | −0.0352086 | − | 0.0156759i | ||||
\(134\) | 2.22964 | − | 0.473924i | 0.192611 | − | 0.0409408i | ||||
\(135\) | 0.104528 | − | 0.994522i | 0.00899638 | − | 0.0855948i | ||||
\(136\) | 1.71080 | + | 1.90003i | 0.146700 | + | 0.162927i | ||||
\(137\) | −0.100000 | + | 0.111061i | −0.00854358 | + | 0.00948861i | −0.747401 | − | 0.664373i | \(-0.768699\pi\) |
0.738858 | + | 0.673861i | \(0.235365\pi\) | |||||||
\(138\) | 0.423194 | + | 4.02642i | 0.0360246 | + | 0.342751i | ||||
\(139\) | 3.37890 | + | 10.3992i | 0.286595 | + | 0.882048i | 0.985916 | + | 0.167241i | \(0.0534857\pi\) |
−0.699321 | + | 0.714807i | \(0.746514\pi\) | |||||||
\(140\) | 0.155966 | + | 0.480013i | 0.0131815 | + | 0.0405685i | ||||
\(141\) | 1.01442 | + | 9.65161i | 0.0854300 | + | 0.812812i | ||||
\(142\) | −5.98781 | + | 6.65014i | −0.502486 | + | 0.558068i | ||||
\(143\) | −1.36897 | − | 1.52039i | −0.114479 | − | 0.127141i | ||||
\(144\) | −0.104528 | + | 0.994522i | −0.00871071 | + | 0.0828768i | ||||
\(145\) | 2.19307 | − | 0.466151i | 0.182124 | − | 0.0387117i | ||||
\(146\) | −0.237379 | − | 0.105688i | −0.0196456 | − | 0.00874679i | ||||
\(147\) | 5.45703 | − | 3.96477i | 0.450088 | − | 0.327008i | ||||
\(148\) | −8.76261 | + | 3.90136i | −0.720282 | + | 0.320690i | ||||
\(149\) | −1.56358 | + | 2.70819i | −0.128093 | + | 0.221864i | −0.922938 | − | 0.384949i | \(-0.874219\pi\) |
0.794845 | + | 0.606813i | \(0.207552\pi\) | |||||||
\(150\) | −0.500000 | − | 0.866025i | −0.0408248 | − | 0.0707107i | ||||
\(151\) | 13.4837 | + | 9.79650i | 1.09729 | + | 0.797227i | 0.980615 | − | 0.195943i | \(-0.0627767\pi\) |
0.116674 | + | 0.993170i | \(0.462777\pi\) | |||||||
\(152\) | −0.861395 | − | 0.183095i | −0.0698684 | − | 0.0148510i | ||||
\(153\) | 0.790079 | − | 2.43161i | 0.0638741 | − | 0.196584i | ||||
\(154\) | 0.537942 | 0.0433486 | ||||||||
\(155\) | 5.44393 | − | 1.16775i | 0.437267 | − | 0.0937956i | ||||
\(156\) | 1.91952 | 0.153685 | ||||||||
\(157\) | 2.29856 | − | 7.07425i | 0.183445 | − | 0.564586i | −0.816473 | − | 0.577384i | \(-0.804074\pi\) |
0.999918 | + | 0.0127974i | \(0.00407366\pi\) | |||||||
\(158\) | 7.33669 | + | 1.55946i | 0.583675 | + | 0.124064i | ||||
\(159\) | 0.814233 | + | 0.591575i | 0.0645729 | + | 0.0469150i | ||||
\(160\) | 0.500000 | + | 0.866025i | 0.0395285 | + | 0.0684653i | ||||
\(161\) | −1.02169 | + | 1.76963i | −0.0805208 | + | 0.139466i | ||||
\(162\) | 0.913545 | − | 0.406737i | 0.0717749 | − | 0.0319562i | ||||
\(163\) | 5.06115 | − | 3.67714i | 0.396420 | − | 0.288016i | −0.371661 | − | 0.928368i | \(-0.621212\pi\) |
0.768081 | + | 0.640352i | \(0.221212\pi\) | |||||||
\(164\) | −3.80827 | − | 1.69555i | −0.297376 | − | 0.132400i | ||||
\(165\) | −1.04254 | + | 0.221599i | −0.0811617 | + | 0.0172515i | ||||
\(166\) | −0.0824852 | + | 0.784794i | −0.00640209 | + | 0.0609118i | ||||
\(167\) | 5.94465 | + | 6.60220i | 0.460011 | + | 0.510894i | 0.927867 | − | 0.372911i | \(-0.121640\pi\) |
−0.467856 | + | 0.883804i | \(0.654974\pi\) | |||||||
\(168\) | −0.337720 | + | 0.375077i | −0.0260557 | + | 0.0289378i | ||||
\(169\) | 0.973729 | + | 9.26441i | 0.0749022 | + | 0.712647i | ||||
\(170\) | −0.790079 | − | 2.43161i | −0.0605963 | − | 0.186496i | ||||
\(171\) | 0.272133 | + | 0.837538i | 0.0208105 | + | 0.0640481i | ||||
\(172\) | 0.429595 | + | 4.08733i | 0.0327563 | + | 0.311656i | ||||
\(173\) | −10.3140 | + | 11.4548i | −0.784158 | + | 0.870896i | −0.994283 | − | 0.106779i | \(-0.965946\pi\) |
0.210125 | + | 0.977675i | \(0.432613\pi\) | |||||||
\(174\) | 1.50023 | + | 1.66618i | 0.113732 | + | 0.126313i | ||||
\(175\) | 0.0527571 | − | 0.501950i | 0.00398806 | − | 0.0379439i | ||||
\(176\) | 1.04254 | − | 0.221599i | 0.0785845 | − | 0.0167036i | ||||
\(177\) | 8.79626 | + | 3.91635i | 0.661167 | + | 0.294371i | ||||
\(178\) | 4.82338 | − | 3.50439i | 0.361527 | − | 0.262665i | ||||
\(179\) | −11.7488 | + | 5.23088i | −0.878143 | + | 0.390974i | −0.795750 | − | 0.605625i | \(-0.792923\pi\) |
−0.0823932 | + | 0.996600i | \(0.526256\pi\) | |||||||
\(180\) | 0.500000 | − | 0.866025i | 0.0372678 | − | 0.0645497i | ||||
\(181\) | 5.48915 | + | 9.50749i | 0.408006 | + | 0.706686i | 0.994666 | − | 0.103147i | \(-0.0328911\pi\) |
−0.586661 | + | 0.809833i | \(0.699558\pi\) | |||||||
\(182\) | 0.783785 | + | 0.569453i | 0.0580980 | + | 0.0422107i | ||||
\(183\) | −11.0372 | − | 2.34602i | −0.815891 | − | 0.173423i | ||||
\(184\) | −1.25109 | + | 3.85044i | −0.0922312 | + | 0.283859i | ||||
\(185\) | 9.59187 | 0.705208 | ||||||||
\(186\) | 3.73326 | + | 4.13071i | 0.273736 | + | 0.302878i | ||||
\(187\) | −2.72506 | −0.199276 | ||||||||
\(188\) | −2.99894 | + | 9.22979i | −0.218720 | + | 0.673151i | ||||
\(189\) | 0.493686 | + | 0.104936i | 0.0359104 | + | 0.00763299i | ||||
\(190\) | 0.712452 | + | 0.517627i | 0.0516867 | + | 0.0375526i | ||||
\(191\) | −2.90351 | − | 5.02903i | −0.210091 | − | 0.363888i | 0.741652 | − | 0.670785i | \(-0.234043\pi\) |
−0.951743 | + | 0.306897i | \(0.900709\pi\) | |||||||
\(192\) | −0.500000 | + | 0.866025i | −0.0360844 | + | 0.0625000i | ||||
\(193\) | 9.40849 | − | 4.18893i | 0.677238 | − | 0.301526i | −0.0391447 | − | 0.999234i | \(-0.512463\pi\) |
0.716382 | + | 0.697708i | \(0.245797\pi\) | |||||||
\(194\) | 7.01736 | − | 5.09841i | 0.503817 | − | 0.366044i | ||||
\(195\) | −1.75357 | − | 0.780740i | −0.125576 | − | 0.0559099i | ||||
\(196\) | 6.59786 | − | 1.40242i | 0.471276 | − | 0.100173i | ||||
\(197\) | −0.160245 | + | 1.52463i | −0.0114170 | + | 0.108626i | −0.998746 | − | 0.0500596i | \(-0.984059\pi\) |
0.987329 | + | 0.158685i | \(0.0507255\pi\) | |||||||
\(198\) | −0.713181 | − | 0.792068i | −0.0506836 | − | 0.0562898i | ||||
\(199\) | −10.7569 | + | 11.9467i | −0.762535 | + | 0.846881i | −0.991974 | − | 0.126442i | \(-0.959644\pi\) |
0.229439 | + | 0.973323i | \(0.426311\pi\) | |||||||
\(200\) | −0.104528 | − | 0.994522i | −0.00739128 | − | 0.0703233i | ||||
\(201\) | −0.704389 | − | 2.16789i | −0.0496837 | − | 0.152911i | ||||
\(202\) | −1.12181 | − | 3.45259i | −0.0789305 | − | 0.242923i | ||||
\(203\) | 0.118285 | + | 1.12540i | 0.00830196 | + | 0.0789879i | ||||
\(204\) | 1.71080 | − | 1.90003i | 0.119780 | − | 0.133029i | ||||
\(205\) | 2.78939 | + | 3.09793i | 0.194819 | + | 0.216369i | ||||
\(206\) | −0.383894 | + | 3.65251i | −0.0267472 | + | 0.254482i | ||||
\(207\) | 3.96013 | − | 0.841751i | 0.275248 | − | 0.0585057i | ||||
\(208\) | 1.75357 | + | 0.780740i | 0.121588 | + | 0.0541345i | ||||
\(209\) | 0.759355 | − | 0.551703i | 0.0525257 | − | 0.0381621i | ||||
\(210\) | 0.461080 | − | 0.205286i | 0.0318176 | − | 0.0141661i | ||||
\(211\) | 3.95374 | − | 6.84809i | 0.272187 | − | 0.471442i | −0.697235 | − | 0.716843i | \(-0.745586\pi\) |
0.969422 | + | 0.245401i | \(0.0789197\pi\) | |||||||
\(212\) | 0.503224 | + | 0.871609i | 0.0345616 | + | 0.0598624i | ||||
\(213\) | 7.23961 | + | 5.25988i | 0.496050 | + | 0.360401i | ||||
\(214\) | −16.9790 | − | 3.60899i | −1.16066 | − | 0.246706i | ||||
\(215\) | 1.27001 | − | 3.90869i | 0.0866140 | − | 0.266570i | ||||
\(216\) | 1.00000 | 0.0680414 | ||||||||
\(217\) | 0.298945 | + | 2.79419i | 0.0202937 | + | 0.189682i | ||||
\(218\) | 6.07314 | 0.411325 | ||||||||
\(219\) | −0.0802960 | + | 0.247126i | −0.00542590 | + | 0.0166992i | ||||
\(220\) | −1.04254 | − | 0.221599i | −0.0702881 | − | 0.0149402i | ||||
\(221\) | −3.97044 | − | 2.88469i | −0.267081 | − | 0.194045i | ||||
\(222\) | 4.79593 | + | 8.30680i | 0.321882 | + | 0.557516i | ||||
\(223\) | −10.1218 | + | 17.5315i | −0.677806 | + | 1.17399i | 0.297835 | + | 0.954617i | \(0.403736\pi\) |
−0.975640 | + | 0.219376i | \(0.929598\pi\) | |||||||
\(224\) | −0.461080 | + | 0.205286i | −0.0308072 | + | 0.0137163i | ||||
\(225\) | −0.809017 | + | 0.587785i | −0.0539345 | + | 0.0391857i | ||||
\(226\) | −8.44091 | − | 3.75813i | −0.561481 | − | 0.249987i | ||||
\(227\) | 21.5102 | − | 4.57213i | 1.42768 | − | 0.303463i | 0.571697 | − | 0.820465i | \(-0.306285\pi\) |
0.855984 | + | 0.517002i | \(0.172952\pi\) | |||||||
\(228\) | −0.0920519 | + | 0.875815i | −0.00609629 | + | 0.0580023i | ||||
\(229\) | 6.02740 | + | 6.69411i | 0.398302 | + | 0.442359i | 0.908618 | − | 0.417628i | \(-0.137138\pi\) |
−0.510316 | + | 0.859987i | \(0.670472\pi\) | |||||||
\(230\) | 2.70904 | − | 3.00869i | 0.178629 | − | 0.198387i | ||||
\(231\) | −0.0562302 | − | 0.534995i | −0.00369968 | − | 0.0352001i | ||||
\(232\) | 0.692835 | + | 2.13233i | 0.0454869 | + | 0.139994i | ||||
\(233\) | −2.40151 | − | 7.39110i | −0.157328 | − | 0.484207i | 0.841061 | − | 0.540940i | \(-0.181931\pi\) |
−0.998389 | + | 0.0567334i | \(0.981931\pi\) | |||||||
\(234\) | −0.200645 | − | 1.90901i | −0.0131165 | − | 0.124796i | ||||
\(235\) | 6.49376 | − | 7.21205i | 0.423606 | − | 0.470462i | ||||
\(236\) | 6.44286 | + | 7.15552i | 0.419394 | + | 0.465785i | ||||
\(237\) | 0.784025 | − | 7.45950i | 0.0509279 | − | 0.484547i | ||||
\(238\) | 1.26223 | − | 0.268296i | 0.0818183 | − | 0.0173910i | ||||
\(239\) | 2.29146 | + | 1.02022i | 0.148222 | + | 0.0659928i | 0.479507 | − | 0.877538i | \(-0.340815\pi\) |
−0.331285 | + | 0.943531i | \(0.607482\pi\) | |||||||
\(240\) | 0.809017 | − | 0.587785i | 0.0522218 | − | 0.0379414i | ||||
\(241\) | −13.9276 | + | 6.20099i | −0.897158 | + | 0.399441i | −0.802905 | − | 0.596108i | \(-0.796713\pi\) |
−0.0942538 | + | 0.995548i | \(0.530047\pi\) | |||||||
\(242\) | 4.93200 | − | 8.54248i | 0.317041 | − | 0.549131i | ||||
\(243\) | −0.500000 | − | 0.866025i | −0.0320750 | − | 0.0555556i | ||||
\(244\) | −9.12874 | − | 6.63242i | −0.584408 | − | 0.424597i | ||||
\(245\) | −6.59786 | − | 1.40242i | −0.421522 | − | 0.0895973i | ||||
\(246\) | −1.28819 | + | 3.96464i | −0.0821320 | + | 0.252776i | ||||
\(247\) | 1.69041 | 0.107558 | ||||||||
\(248\) | 1.73039 | + | 5.29204i | 0.109880 | + | 0.336045i | ||||
\(249\) | 0.789117 | 0.0500082 | ||||||||
\(250\) | −0.309017 | + | 0.951057i | −0.0195440 | + | 0.0601501i | ||||
\(251\) | −21.6710 | − | 4.60630i | −1.36786 | − | 0.290747i | −0.535289 | − | 0.844669i | \(-0.679797\pi\) |
−0.832569 | + | 0.553921i | \(0.813131\pi\) | |||||||
\(252\) | 0.408323 | + | 0.296664i | 0.0257220 | + | 0.0186881i | ||||
\(253\) | −2.15756 | − | 3.73701i | −0.135645 | − | 0.234944i | ||||
\(254\) | 0.845122 | − | 1.46379i | 0.0530277 | − | 0.0918466i | ||||
\(255\) | −2.33571 | + | 1.03992i | −0.146268 | + | 0.0651225i | ||||
\(256\) | −0.809017 | + | 0.587785i | −0.0505636 | + | 0.0367366i | ||||
\(257\) | 12.5156 | + | 5.57232i | 0.780704 | + | 0.347592i | 0.758088 | − | 0.652152i | \(-0.226134\pi\) |
0.0226163 | + | 0.999744i | \(0.492800\pi\) | |||||||
\(258\) | 4.02003 | − | 0.854484i | 0.250276 | − | 0.0531978i | ||||
\(259\) | −0.506039 | + | 4.81464i | −0.0314438 | + | 0.299167i | ||||
\(260\) | −1.28441 | − | 1.42648i | −0.0796557 | − | 0.0884667i | ||||
\(261\) | 1.50023 | − | 1.66618i | 0.0928621 | − | 0.103134i | ||||
\(262\) | −0.398987 | − | 3.79611i | −0.0246495 | − | 0.234524i | ||||
\(263\) | −4.56839 | − | 14.0601i | −0.281699 | − | 0.866981i | −0.987369 | − | 0.158440i | \(-0.949354\pi\) |
0.705669 | − | 0.708541i | \(-0.250646\pi\) | |||||||
\(264\) | −0.329360 | − | 1.01367i | −0.0202707 | − | 0.0623869i | ||||
\(265\) | −0.105202 | − | 1.00093i | −0.00646254 | − | 0.0614869i | ||||
\(266\) | −0.297410 | + | 0.330307i | −0.0182354 | + | 0.0202524i | ||||
\(267\) | −3.98937 | − | 4.43064i | −0.244145 | − | 0.271151i | ||||
\(268\) | 0.238267 | − | 2.26696i | 0.0145545 | − | 0.138477i | ||||
\(269\) | −2.10674 | + | 0.447800i | −0.128450 | + | 0.0273029i | −0.271688 | − | 0.962385i | \(-0.587582\pi\) |
0.143238 | + | 0.989688i | \(0.454249\pi\) | |||||||
\(270\) | −0.913545 | − | 0.406737i | −0.0555966 | − | 0.0247532i | ||||
\(271\) | 13.2400 | − | 9.61939i | 0.804270 | − | 0.584336i | −0.107894 | − | 0.994162i | \(-0.534411\pi\) |
0.912164 | + | 0.409826i | \(0.134411\pi\) | |||||||
\(272\) | 2.33571 | − | 1.03992i | 0.141623 | − | 0.0630546i | ||||
\(273\) | 0.484406 | − | 0.839016i | 0.0293176 | − | 0.0507795i | ||||
\(274\) | 0.0747238 | + | 0.129426i | 0.00451423 | + | 0.00781888i | ||||
\(275\) | 0.862276 | + | 0.626480i | 0.0519972 | + | 0.0377782i | ||||
\(276\) | 3.96013 | + | 0.841751i | 0.238372 | + | 0.0506674i | ||||
\(277\) | −3.22735 | + | 9.93276i | −0.193913 | + | 0.596801i | 0.806075 | + | 0.591813i | \(0.201588\pi\) |
−0.999988 | + | 0.00498810i | \(0.998412\pi\) | |||||||
\(278\) | 10.9344 | 0.655799 | ||||||||
\(279\) | 3.71785 | − | 4.14459i | 0.222582 | − | 0.248130i | ||||
\(280\) | 0.504715 | 0.0301625 | ||||||||
\(281\) | −6.79900 | + | 20.9252i | −0.405595 | + | 1.24829i | 0.514803 | + | 0.857308i | \(0.327865\pi\) |
−0.920398 | + | 0.390983i | \(0.872135\pi\) | |||||||
\(282\) | 9.49270 | + | 2.01774i | 0.565282 | + | 0.120154i | ||||
\(283\) | −0.743807 | − | 0.540407i | −0.0442147 | − | 0.0321239i | 0.565458 | − | 0.824777i | \(-0.308699\pi\) |
−0.609673 | + | 0.792653i | \(0.708699\pi\) | |||||||
\(284\) | 4.47432 | + | 7.74976i | 0.265502 | + | 0.459863i | ||||
\(285\) | 0.440320 | − | 0.762656i | 0.0260823 | − | 0.0451759i | ||||
\(286\) | −1.86901 | + | 0.832137i | −0.110517 | + | 0.0492053i | ||||
\(287\) | −1.70217 | + | 1.23670i | −0.100476 | + | 0.0729999i | ||||
\(288\) | 0.913545 | + | 0.406737i | 0.0538312 | + | 0.0239672i | ||||
\(289\) | 10.2344 | − | 2.17539i | 0.602023 | − | 0.127964i | ||||
\(290\) | 0.234359 | − | 2.22978i | 0.0137621 | − | 0.130937i | ||||
\(291\) | −5.80399 | − | 6.44599i | −0.340236 | − | 0.377870i | ||||
\(292\) | −0.173869 | + | 0.193101i | −0.0101749 | + | 0.0113004i | ||||
\(293\) | −0.633195 | − | 6.02444i | −0.0369916 | − | 0.351952i | −0.997325 | − | 0.0730968i | \(-0.976712\pi\) |
0.960333 | − | 0.278855i | \(-0.0899549\pi\) | |||||||
\(294\) | −2.08440 | − | 6.41513i | −0.121565 | − | 0.374138i | ||||
\(295\) | −2.97543 | − | 9.15744i | −0.173236 | − | 0.533167i | ||||
\(296\) | 1.00262 | + | 9.53932i | 0.0582763 | + | 0.554462i | ||||
\(297\) | −0.713181 | + | 0.792068i | −0.0413829 | + | 0.0459604i | ||||
\(298\) | 2.09247 | + | 2.32393i | 0.121214 | + | 0.134621i | ||||
\(299\) | 0.812329 | − | 7.72879i | 0.0469782 | − | 0.446968i | ||||
\(300\) | −0.978148 | + | 0.207912i | −0.0564734 | + | 0.0120038i | ||||
\(301\) | 1.89497 | + | 0.843693i | 0.109224 | + | 0.0486297i | ||||
\(302\) | 13.4837 | − | 9.79650i | 0.775901 | − | 0.563725i | ||||
\(303\) | −3.31641 | + | 1.47656i | −0.190523 | + | 0.0848263i | ||||
\(304\) | −0.440320 | + | 0.762656i | −0.0252541 | + | 0.0437413i | ||||
\(305\) | 5.64187 | + | 9.77201i | 0.323053 | + | 0.559544i | ||||
\(306\) | −2.06845 | − | 1.50282i | −0.118246 | − | 0.0859105i | ||||
\(307\) | −28.5743 | − | 6.07366i | −1.63082 | − | 0.346642i | −0.700576 | − | 0.713578i | \(-0.747073\pi\) |
−0.930246 | + | 0.366936i | \(0.880407\pi\) | |||||||
\(308\) | 0.166233 | − | 0.511613i | 0.00947201 | − | 0.0291519i | ||||
\(309\) | 3.67263 | 0.208928 | ||||||||
\(310\) | 0.571674 | − | 5.53834i | 0.0324689 | − | 0.314556i | ||||
\(311\) | −16.6755 | −0.945579 | −0.472789 | − | 0.881175i | \(-0.656753\pi\) | ||||
−0.472789 | + | 0.881175i | \(0.656753\pi\) | |||||||
\(312\) | 0.593165 | − | 1.82557i | 0.0335813 | − | 0.103353i | ||||
\(313\) | −27.0192 | − | 5.74311i | −1.52722 | − | 0.324620i | −0.633674 | − | 0.773600i | \(-0.718454\pi\) |
−0.893542 | + | 0.448981i | \(0.851787\pi\) | |||||||
\(314\) | −6.01771 | − | 4.37212i | −0.339599 | − | 0.246733i | ||||
\(315\) | −0.252358 | − | 0.437096i | −0.0142187 | − | 0.0246276i | ||||
\(316\) | 3.75030 | − | 6.49570i | 0.210971 | − | 0.365412i | ||||
\(317\) | 6.52737 | − | 2.90617i | 0.366614 | − | 0.163227i | −0.215158 | − | 0.976579i | \(-0.569027\pi\) |
0.581771 | + | 0.813352i | \(0.302360\pi\) | |||||||
\(318\) | 0.814233 | − | 0.591575i | 0.0456599 | − | 0.0331739i | ||||
\(319\) | −2.18306 | − | 0.971963i | −0.122228 | − | 0.0544195i | ||||
\(320\) | 0.978148 | − | 0.207912i | 0.0546801 | − | 0.0116226i | ||||
\(321\) | −1.81444 | + | 17.2632i | −0.101272 | + | 0.963538i | ||||
\(322\) | 1.36729 | + | 1.51853i | 0.0761963 | + | 0.0846246i | ||||
\(323\) | 1.50660 | − | 1.67325i | 0.0838293 | − | 0.0931019i | ||||
\(324\) | −0.104528 | − | 0.994522i | −0.00580714 | − | 0.0552512i | ||||
\(325\) | 0.593165 | + | 1.82557i | 0.0329029 | + | 0.101265i | ||||
\(326\) | −1.93319 | − | 5.94974i | −0.107069 | − | 0.329526i | ||||
\(327\) | −0.634816 | − | 6.03987i | −0.0351054 | − | 0.334006i | ||||
\(328\) | −2.78939 | + | 3.09793i | −0.154018 | + | 0.171054i | ||||
\(329\) | 3.27750 | + | 3.64003i | 0.180694 | + | 0.200682i | ||||
\(330\) | −0.111410 | + | 1.05999i | −0.00613291 | + | 0.0583507i | ||||
\(331\) | 8.59690 | − | 1.82733i | 0.472528 | − | 0.100439i | 0.0345087 | − | 0.999404i | \(-0.489013\pi\) |
0.438020 | + | 0.898965i | \(0.355680\pi\) | |||||||
\(332\) | 0.720894 | + | 0.320963i | 0.0395642 | + | 0.0176151i | ||||
\(333\) | 7.75998 | − | 5.63796i | 0.425244 | − | 0.308958i | ||||
\(334\) | 8.11606 | − | 3.61350i | 0.444091 | − | 0.197722i | ||||
\(335\) | −1.13972 | + | 1.97406i | −0.0622698 | + | 0.107854i | ||||
\(336\) | 0.252358 | + | 0.437096i | 0.0137672 | + | 0.0238456i | ||||
\(337\) | −6.37269 | − | 4.63003i | −0.347143 | − | 0.252214i | 0.400527 | − | 0.916285i | \(-0.368827\pi\) |
−0.747669 | + | 0.664071i | \(0.768827\pi\) | |||||||
\(338\) | 9.11187 | + | 1.93679i | 0.495621 | + | 0.105347i | ||||
\(339\) | −2.85523 | + | 8.78750i | −0.155075 | + | 0.477271i | ||||
\(340\) | −2.55675 | −0.138659 | ||||||||
\(341\) | −5.42574 | − | 2.40360i | −0.293820 | − | 0.130162i | ||||
\(342\) | 0.880640 | 0.0476195 | ||||||||
\(343\) | 2.14379 | − | 6.59790i | 0.115754 | − | 0.356253i | ||||
\(344\) | 4.02003 | + | 0.854484i | 0.216745 | + | 0.0460707i | ||||
\(345\) | −3.27538 | − | 2.37971i | −0.176341 | − | 0.128119i | ||||
\(346\) | 7.70701 | + | 13.3489i | 0.414331 | + | 0.717643i | ||||
\(347\) | 3.29994 | − | 5.71567i | 0.177150 | − | 0.306833i | −0.763753 | − | 0.645509i | \(-0.776645\pi\) |
0.940903 | + | 0.338675i | \(0.109979\pi\) | |||||||
\(348\) | 2.04823 | − | 0.911929i | 0.109796 | − | 0.0488845i | ||||
\(349\) | −11.4181 | + | 8.29577i | −0.611199 | + | 0.444062i | −0.849837 | − | 0.527046i | \(-0.823299\pi\) |
0.238637 | + | 0.971109i | \(0.423299\pi\) | |||||||
\(350\) | −0.461080 | − | 0.205286i | −0.0246458 | − | 0.0109730i | ||||
\(351\) | −1.87757 | + | 0.399091i | −0.100218 | + | 0.0213019i | ||||
\(352\) | 0.111410 | − | 1.05999i | 0.00593816 | − | 0.0564978i | ||||
\(353\) | 16.8455 | + | 18.7088i | 0.896596 | + | 0.995771i | 0.999999 | + | 0.00113111i | \(0.000360043\pi\) |
−0.103403 | + | 0.994639i | \(0.532973\pi\) | |||||||
\(354\) | 6.44286 | − | 7.15552i | 0.342434 | − | 0.380312i | ||||
\(355\) | −0.935388 | − | 8.89963i | −0.0496453 | − | 0.472343i | ||||
\(356\) | −1.84237 | − | 5.67022i | −0.0976452 | − | 0.300521i | ||||
\(357\) | −0.398765 | − | 1.22727i | −0.0211049 | − | 0.0649541i | ||||
\(358\) | 1.34430 | + | 12.7902i | 0.0710485 | + | 0.675981i | ||||
\(359\) | −4.81254 | + | 5.34486i | −0.253996 | + | 0.282091i | −0.856635 | − | 0.515923i | \(-0.827449\pi\) |
0.602639 | + | 0.798014i | \(0.294116\pi\) | |||||||
\(360\) | −0.669131 | − | 0.743145i | −0.0352663 | − | 0.0391672i | ||||
\(361\) | 1.90498 | − | 18.1246i | 0.100262 | − | 0.953928i | ||||
\(362\) | 10.7384 | − | 2.28252i | 0.564398 | − | 0.119966i | ||||
\(363\) | −9.01121 | − | 4.01205i | −0.472966 | − | 0.210578i | ||||
\(364\) | 0.783785 | − | 0.569453i | 0.0410815 | − | 0.0298475i | ||||
\(365\) | 0.237379 | − | 0.105688i | 0.0124250 | − | 0.00553195i | ||||
\(366\) | −5.64187 | + | 9.77201i | −0.294905 | + | 0.510791i | ||||
\(367\) | 7.50288 | + | 12.9954i | 0.391647 | + | 0.678353i | 0.992667 | − | 0.120881i | \(-0.0385720\pi\) |
−0.601020 | + | 0.799234i | \(0.705239\pi\) | |||||||
\(368\) | 3.27538 | + | 2.37971i | 0.170741 | + | 0.124051i | ||||
\(369\) | 4.07758 | + | 0.866716i | 0.212270 | + | 0.0451194i | ||||
\(370\) | 2.96405 | − | 9.12241i | 0.154094 | − | 0.474251i | ||||
\(371\) | 0.507970 | 0.0263725 | ||||||||
\(372\) | 5.08218 | − | 2.27408i | 0.263499 | − | 0.117906i | ||||
\(373\) | −16.9266 | −0.876428 | −0.438214 | − | 0.898871i | \(-0.644389\pi\) | ||||
−0.438214 | + | 0.898871i | \(0.644389\pi\) | |||||||
\(374\) | −0.842091 | + | 2.59169i | −0.0435435 | + | 0.134013i | ||||
\(375\) | 0.978148 | + | 0.207912i | 0.0505113 | + | 0.0107365i | ||||
\(376\) | 7.85133 | + | 5.70432i | 0.404901 | + | 0.294178i | ||||
\(377\) | −2.15184 | − | 3.72710i | −0.110826 | − | 0.191955i | ||||
\(378\) | 0.252358 | − | 0.437096i | 0.0129799 | − | 0.0224818i | ||||
\(379\) | −17.9314 | + | 7.98355i | −0.921072 | + | 0.410088i | −0.811807 | − | 0.583925i | \(-0.801516\pi\) |
−0.109264 | + | 0.994013i | \(0.534849\pi\) | |||||||
\(380\) | 0.712452 | − | 0.517627i | 0.0365480 | − | 0.0265537i | ||||
\(381\) | −1.54412 | − | 0.687484i | −0.0791074 | − | 0.0352209i | ||||
\(382\) | −5.68013 | + | 1.20735i | −0.290621 | + | 0.0617734i | ||||
\(383\) | −2.36503 | + | 22.5017i | −0.120847 | + | 1.14978i | 0.751101 | + | 0.660187i | \(0.229523\pi\) |
−0.871949 | + | 0.489598i | \(0.837144\pi\) | |||||||
\(384\) | 0.669131 | + | 0.743145i | 0.0341464 | + | 0.0379235i | ||||
\(385\) | −0.359953 | + | 0.399769i | −0.0183449 | + | 0.0203741i | ||||
\(386\) | −1.07653 | − | 10.2425i | −0.0547937 | − | 0.521327i | ||||
\(387\) | −1.27001 | − | 3.90869i | −0.0645582 | − | 0.198690i | ||||
\(388\) | −2.68039 | − | 8.24940i | −0.136076 | − | 0.418800i | ||||
\(389\) | 0.269023 | + | 2.55959i | 0.0136400 | + | 0.129776i | 0.999223 | − | 0.0394176i | \(-0.0125503\pi\) |
−0.985583 | + | 0.169194i | \(0.945884\pi\) | |||||||
\(390\) | −1.28441 | + | 1.42648i | −0.0650386 | + | 0.0722327i | ||||
\(391\) | −6.92634 | − | 7.69247i | −0.350280 | − | 0.389025i | ||||
\(392\) | 0.705072 | − | 6.70831i | 0.0356115 | − | 0.338821i | ||||
\(393\) | −3.73361 | + | 0.793602i | −0.188335 | + | 0.0400319i | ||||
\(394\) | 1.40049 | + | 0.623540i | 0.0705559 | + | 0.0314135i | ||||
\(395\) | −6.06811 | + | 4.40874i | −0.305320 | + | 0.221828i | ||||
\(396\) | −0.973686 | + | 0.433513i | −0.0489296 | + | 0.0217848i | ||||
\(397\) | 3.21063 | − | 5.56097i | 0.161137 | − | 0.279097i | −0.774140 | − | 0.633015i | \(-0.781817\pi\) |
0.935277 | + | 0.353918i | \(0.115151\pi\) | |||||||
\(398\) | 8.03795 | + | 13.9221i | 0.402906 | + | 0.697854i | ||||
\(399\) | 0.359586 | + | 0.261254i | 0.0180018 | + | 0.0130791i | ||||
\(400\) | −0.978148 | − | 0.207912i | −0.0489074 | − | 0.0103956i | ||||
\(401\) | −3.26204 | + | 10.0395i | −0.162899 | + | 0.501351i | −0.998875 | − | 0.0474144i | \(-0.984902\pi\) |
0.835977 | + | 0.548765i | \(0.184902\pi\) | |||||||
\(402\) | −2.27945 | −0.113689 | ||||||||
\(403\) | −5.36095 | − | 9.24562i | −0.267048 | − | 0.460557i | ||||
\(404\) | −3.63027 | −0.180612 | ||||||||
\(405\) | −0.309017 | + | 0.951057i | −0.0153552 | + | 0.0472584i | ||||
\(406\) | 1.10687 | + | 0.235274i | 0.0549333 | + | 0.0116764i | ||||
\(407\) | −8.27084 | − | 6.00912i | −0.409970 | − | 0.297861i | ||||
\(408\) | −1.27837 | − | 2.21421i | −0.0632890 | − | 0.109620i | ||||
\(409\) | 9.63076 | − | 16.6810i | 0.476210 | − | 0.824820i | −0.523418 | − | 0.852076i | \(-0.675343\pi\) |
0.999628 | + | 0.0272555i | \(0.00867678\pi\) | |||||||
\(410\) | 3.80827 | − | 1.69555i | 0.188077 | − | 0.0837374i | ||||
\(411\) | 0.120906 | − | 0.0878432i | 0.00596384 | − | 0.00433298i | ||||
\(412\) | 3.35511 | + | 1.49379i | 0.165294 | + | 0.0735938i | ||||
\(413\) | 4.75356 | − | 1.01040i | 0.233907 | − | 0.0497185i | ||||
\(414\) | 0.423194 | − | 4.02642i | 0.0207988 | − | 0.197888i | ||||
\(415\) | −0.528022 | − | 0.586428i | −0.0259196 | − | 0.0287866i | ||||
\(416\) | 1.28441 | − | 1.42648i | 0.0629734 | − | 0.0699390i | ||||
\(417\) | −1.14295 | − | 10.8745i | −0.0559706 | − | 0.532525i | ||||
\(418\) | −0.290048 | − | 0.892675i | −0.0141867 | − | 0.0436622i | ||||
\(419\) | 0.868628 | + | 2.67336i | 0.0424353 | + | 0.130602i | 0.970030 | − | 0.242987i | \(-0.0781271\pi\) |
−0.927594 | + | 0.373589i | \(0.878127\pi\) | |||||||
\(420\) | −0.0527571 | − | 0.501950i | −0.00257428 | − | 0.0244927i | ||||
\(421\) | −3.33125 | + | 3.69973i | −0.162355 | + | 0.180314i | −0.818833 | − | 0.574031i | \(-0.805379\pi\) |
0.656478 | + | 0.754345i | \(0.272045\pi\) | |||||||
\(422\) | −5.29114 | − | 5.87641i | −0.257569 | − | 0.286059i | ||||
\(423\) | 1.01442 | − | 9.65161i | 0.0493230 | − | 0.469277i | ||||
\(424\) | 0.984455 | − | 0.209252i | 0.0478093 | − | 0.0101622i | ||||
\(425\) | 2.33571 | + | 1.03992i | 0.113298 | + | 0.0504437i | ||||
\(426\) | 7.23961 | − | 5.25988i | 0.350760 | − | 0.254842i | ||||
\(427\) | −5.20271 | + | 2.31640i | −0.251777 | + | 0.112098i | ||||
\(428\) | −8.67915 | + | 15.0327i | −0.419522 | + | 0.726634i | ||||
\(429\) | 1.02294 | + | 1.77179i | 0.0493882 | + | 0.0855428i | ||||
\(430\) | −3.32493 | − | 2.41570i | −0.160342 | − | 0.116496i | ||||
\(431\) | −3.70289 | − | 0.787073i | −0.178362 | − | 0.0379120i | 0.117865 | − | 0.993030i | \(-0.462395\pi\) |
−0.296227 | + | 0.955118i | \(0.595728\pi\) | |||||||
\(432\) | 0.309017 | − | 0.951057i | 0.0148676 | − | 0.0457577i | ||||
\(433\) | 14.1918 | 0.682015 | 0.341008 | − | 0.940061i | \(-0.389232\pi\) | ||||
0.341008 | + | 0.940061i | \(0.389232\pi\) | |||||||
\(434\) | 2.74981 | + | 0.579139i | 0.131995 | + | 0.0277996i | ||||
\(435\) | −2.24206 | −0.107499 | ||||||||
\(436\) | 1.87670 | − | 5.77590i | 0.0898779 | − | 0.276616i | ||||
\(437\) | 3.48744 | + | 0.741279i | 0.166827 | + | 0.0354602i | ||||
\(438\) | 0.210218 | + | 0.152732i | 0.0100446 | + | 0.00729782i | ||||
\(439\) | 12.3687 | + | 21.4232i | 0.590325 | + | 1.02247i | 0.994188 | + | 0.107654i | \(0.0343338\pi\) |
−0.403863 | + | 0.914819i | \(0.632333\pi\) | |||||||
\(440\) | −0.532916 | + | 0.923038i | −0.0254058 | + | 0.0440041i | ||||
\(441\) | −6.16210 | + | 2.74355i | −0.293434 | + | 0.130645i | ||||
\(442\) | −3.97044 | + | 2.88469i | −0.188855 | + | 0.137211i | ||||
\(443\) | −1.13462 | − | 0.505165i | −0.0539073 | − | 0.0240011i | 0.379606 | − | 0.925148i | \(-0.376060\pi\) |
−0.433513 | + | 0.901147i | \(0.642726\pi\) | |||||||
\(444\) | 9.38226 | − | 1.99426i | 0.445262 | − | 0.0946435i | ||||
\(445\) | −0.623201 | + | 5.92936i | −0.0295426 | + | 0.281079i | ||||
\(446\) | 13.5456 | + | 15.0439i | 0.641403 | + | 0.712350i | ||||
\(447\) | 2.09247 | − | 2.32393i | 0.0989705 | − | 0.109918i | ||||
\(448\) | 0.0527571 | + | 0.501950i | 0.00249254 | + | 0.0237149i | ||||
\(449\) | −4.62447 | − | 14.2327i | −0.218242 | − | 0.671681i | −0.998907 | − | 0.0467313i | \(-0.985120\pi\) |
0.780665 | − | 0.624950i | \(-0.214880\pi\) | |||||||
\(450\) | 0.309017 | + | 0.951057i | 0.0145672 | + | 0.0448332i | ||||
\(451\) | −0.464431 | − | 4.41877i | −0.0218692 | − | 0.208072i | ||||
\(452\) | −6.18258 | + | 6.86645i | −0.290804 | + | 0.322971i | ||||
\(453\) | −11.1523 | − | 12.3858i | −0.523979 | − | 0.581938i | ||||
\(454\) | 2.29866 | − | 21.8703i | 0.107881 | − | 1.02642i | ||||
\(455\) | −0.947641 | + | 0.201427i | −0.0444261 | + | 0.00944306i | ||||
\(456\) | 0.804504 | + | 0.358188i | 0.0376744 | + | 0.0167737i | ||||
\(457\) | −5.16778 | + | 3.75462i | −0.241739 | + | 0.175633i | −0.702058 | − | 0.712120i | \(-0.747735\pi\) |
0.460319 | + | 0.887754i | \(0.347735\pi\) | |||||||
\(458\) | 8.22904 | − | 3.66381i | 0.384518 | − | 0.171198i | ||||
\(459\) | −1.27837 | + | 2.21421i | −0.0596694 | + | 0.103350i | ||||
\(460\) | −2.02430 | − | 3.50619i | −0.0943834 | − | 0.163477i | ||||
\(461\) | −25.5244 | − | 18.5446i | −1.18879 | − | 0.863706i | −0.195653 | − | 0.980673i | \(-0.562683\pi\) |
−0.993136 | + | 0.116967i | \(0.962683\pi\) | |||||||
\(462\) | −0.526186 | − | 0.111844i | −0.0244804 | − | 0.00520347i | ||||
\(463\) | −2.05258 | + | 6.31720i | −0.0953916 | + | 0.293585i | −0.987356 | − | 0.158521i | \(-0.949327\pi\) |
0.891964 | + | 0.452107i | \(0.149327\pi\) | |||||||
\(464\) | 2.24206 | 0.104085 | ||||||||
\(465\) | −5.56775 | + | 0.0103712i | −0.258198 | + | 0.000480954i | ||||
\(466\) | −7.77146 | −0.360006 | ||||||||
\(467\) | −1.84412 | + | 5.67563i | −0.0853358 | + | 0.262637i | −0.984615 | − | 0.174739i | \(-0.944092\pi\) |
0.899279 | + | 0.437375i | \(0.144092\pi\) | |||||||
\(468\) | −1.87757 | − | 0.399091i | −0.0867909 | − | 0.0184480i | ||||
\(469\) | −0.930752 | − | 0.676231i | −0.0429782 | − | 0.0312255i | ||||
\(470\) | −4.85239 | − | 8.40458i | −0.223824 | − | 0.387674i | ||||
\(471\) | −3.71915 | + | 6.44176i | −0.171369 | + | 0.296821i | ||||
\(472\) | 8.79626 | − | 3.91635i | 0.404881 | − | 0.180264i | ||||
\(473\) | −3.54382 | + | 2.57473i | −0.162945 | + | 0.118386i | ||||
\(474\) | −6.85213 | − | 3.05077i | −0.314729 | − | 0.140126i | ||||
\(475\) | −0.861395 | + | 0.183095i | −0.0395235 | + | 0.00840099i | ||||
\(476\) | 0.134887 | − | 1.28336i | 0.00618252 | − | 0.0588228i | ||||
\(477\) | −0.673445 | − | 0.747937i | −0.0308349 | − | 0.0342457i | ||||
\(478\) | 1.67839 | − | 1.86404i | 0.0767678 | − | 0.0852593i | ||||
\(479\) | 0.780743 | + | 7.42827i | 0.0356730 | + | 0.339406i | 0.997773 | + | 0.0667078i | \(0.0212495\pi\) |
−0.962100 | + | 0.272699i | \(0.912084\pi\) | |||||||
\(480\) | −0.309017 | − | 0.951057i | −0.0141046 | − | 0.0434096i | ||||
\(481\) | −5.68956 | − | 17.5107i | −0.259421 | − | 0.798417i | ||||
\(482\) | 1.59361 | + | 15.1622i | 0.0725870 | + | 0.690619i | ||||
\(483\) | 1.36729 | − | 1.51853i | 0.0622140 | − | 0.0690957i | ||||
\(484\) | −6.60031 | − | 7.33038i | −0.300014 | − | 0.333199i | ||||
\(485\) | −0.906673 | + | 8.62641i | −0.0411699 | + | 0.391705i | ||||
\(486\) | −0.978148 | + | 0.207912i | −0.0443697 | + | 0.00943107i | ||||
\(487\) | 13.4318 | + | 5.98020i | 0.608651 | + | 0.270989i | 0.687830 | − | 0.725872i | \(-0.258563\pi\) |
−0.0791794 | + | 0.996860i | \(0.525230\pi\) | |||||||
\(488\) | −9.12874 | + | 6.63242i | −0.413239 | + | 0.300235i | ||||
\(489\) | −5.71508 | + | 2.54452i | −0.258445 | + | 0.115067i | ||||
\(490\) | −3.37263 | + | 5.84157i | −0.152360 | + | 0.263895i | ||||
\(491\) | −15.9787 | − | 27.6759i | −0.721109 | − | 1.24900i | −0.960556 | − | 0.278087i | \(-0.910299\pi\) |
0.239447 | − | 0.970909i | \(-0.423034\pi\) | |||||||
\(492\) | 3.37253 | + | 2.45028i | 0.152045 | + | 0.110467i | ||||
\(493\) | −5.60712 | − | 1.19183i | −0.252532 | − | 0.0536774i | ||||
\(494\) | 0.522364 | − | 1.60767i | 0.0235023 | − | 0.0723326i | ||||
\(495\) | 1.06583 | 0.0479056 | ||||||||
\(496\) | 5.56775 | − | 0.0103712i | 0.250000 | − | 0.000465682i | ||||
\(497\) | 4.51652 | 0.202594 | ||||||||
\(498\) | 0.243850 | − | 0.750495i | 0.0109272 | − | 0.0336305i | ||||
\(499\) | −18.1957 | − | 3.86762i | −0.814553 | − | 0.173138i | −0.218244 | − | 0.975894i | \(-0.570033\pi\) |
−0.596308 | + | 0.802756i | \(0.703366\pi\) | |||||||
\(500\) | 0.809017 | + | 0.587785i | 0.0361803 | + | 0.0262866i | ||||
\(501\) | −4.44207 | − | 7.69389i | −0.198457 | − | 0.343738i | ||||
\(502\) | −11.0775 | + | 19.1869i | −0.494415 | + | 0.856352i | ||||
\(503\) | −23.6615 | + | 10.5348i | −1.05501 | + | 0.469723i | −0.859584 | − | 0.510995i | \(-0.829277\pi\) |
−0.195430 | + | 0.980718i | \(0.562610\pi\) | |||||||
\(504\) | 0.408323 | − | 0.296664i | 0.0181882 | − | 0.0132145i | ||||
\(505\) | 3.31641 | + | 1.47656i | 0.147578 | + | 0.0657062i | ||||
\(506\) | −4.22083 | + | 0.897165i | −0.187639 | + | 0.0398838i | ||||
\(507\) | 0.973729 | − | 9.26441i | 0.0432448 | − | 0.411447i | ||||
\(508\) | −1.13099 | − | 1.25610i | −0.0501798 | − | 0.0557303i | ||||
\(509\) | 13.4069 | − | 14.8899i | 0.594250 | − | 0.659981i | −0.368736 | − | 0.929534i | \(-0.620209\pi\) |
0.962986 | + | 0.269553i | \(0.0868759\pi\) | |||||||
\(510\) | 0.267253 | + | 2.54274i | 0.0118342 | + | 0.112595i | ||||
\(511\) | 0.0405266 | + | 0.124728i | 0.00179279 | + | 0.00551765i | ||||
\(512\) | 0.309017 | + | 0.951057i | 0.0136568 | + | 0.0420312i | ||||
\(513\) | −0.0920519 | − | 0.875815i | −0.00406419 | − | 0.0386682i | ||||
\(514\) | 9.16714 | − | 10.1811i | 0.404345 | − | 0.449071i | ||||
\(515\) | −2.45747 | − | 2.72929i | −0.108289 | − | 0.120267i | ||||
\(516\) | 0.429595 | − | 4.08733i | 0.0189119 | − | 0.179934i | ||||
\(517\) | −10.1176 | + | 2.15057i | −0.444973 | + | 0.0945818i | ||||
\(518\) | 4.42262 | + | 1.96908i | 0.194319 | + | 0.0865163i | ||||
\(519\) | 12.4702 | − | 9.06013i | 0.547381 | − | 0.397696i | ||||
\(520\) | −1.75357 | + | 0.780740i | −0.0768991 | + | 0.0342377i | ||||
\(521\) | −15.2530 | + | 26.4190i | −0.668246 | + | 1.15744i | 0.310148 | + | 0.950688i | \(0.399621\pi\) |
−0.978394 | + | 0.206748i | \(0.933712\pi\) | |||||||
\(522\) | −1.12103 | − | 1.94168i | −0.0490662 | − | 0.0849851i | ||||
\(523\) | 8.29085 | + | 6.02365i | 0.362534 | + | 0.263396i | 0.754108 | − | 0.656750i | \(-0.228069\pi\) |
−0.391575 | + | 0.920146i | \(0.628069\pi\) | |||||||
\(524\) | −3.73361 | − | 0.793602i | −0.163103 | − | 0.0346687i | ||||
\(525\) | −0.155966 | + | 0.480013i | −0.00680690 | + | 0.0209495i | ||||
\(526\) | −14.7836 | −0.644597 | ||||||||
\(527\) | −13.9298 | − | 2.93376i | −0.606791 | − | 0.127797i | ||||
\(528\) | −1.06583 | −0.0463844 | ||||||||
\(529\) | −2.04225 | + | 6.28540i | −0.0887935 | + | 0.273278i | ||||
\(530\) | −0.984455 | − | 0.209252i | −0.0427620 | − | 0.00908934i | ||||
\(531\) | −7.78978 | − | 5.65961i | −0.338048 | − | 0.245606i | ||||
\(532\) | 0.222236 | + | 0.384924i | 0.00963516 | + | 0.0166886i | ||||
\(533\) | 4.00093 | − | 6.92981i | 0.173299 | − | 0.300163i | ||||
\(534\) | −5.44658 | + | 2.42497i | −0.235696 | + | 0.104939i | ||||
\(535\) | 14.0432 | − | 10.2030i | 0.607139 | − | 0.441112i | ||||
\(536\) | −2.08238 | − | 0.927136i | −0.0899451 | − | 0.0400462i | ||||
\(537\) | 12.5796 | − | 2.67387i | 0.542849 | − | 0.115386i | ||||
\(538\) | −0.225133 | + | 2.14200i | −0.00970619 | + | 0.0923483i | ||||
\(539\) | 4.81059 | + | 5.34270i | 0.207207 | + | 0.230127i | ||||
\(540\) | −0.669131 | + | 0.743145i | −0.0287948 | + | 0.0319799i | ||||
\(541\) | −3.51153 | − | 33.4100i | −0.150972 | − | 1.43641i | −0.763423 | − | 0.645898i | \(-0.776483\pi\) |
0.612451 | − | 0.790509i | \(-0.290184\pi\) | |||||||
\(542\) | −5.05721 | − | 15.5645i | −0.217226 | − | 0.668552i | ||||
\(543\) | −3.39248 | − | 10.4410i | −0.145585 | − | 0.448066i | ||||
\(544\) | −0.267253 | − | 2.54274i | −0.0114584 | − | 0.109019i | ||||
\(545\) | −4.06373 | + | 4.51323i | −0.174071 | + | 0.193325i | ||||
\(546\) | −0.648262 | − | 0.719967i | −0.0277430 | − | 0.0308118i | ||||
\(547\) | 3.78410 | − | 36.0033i | 0.161797 | − | 1.53939i | −0.548897 | − | 0.835890i | \(-0.684952\pi\) |
0.710694 | − | 0.703501i | \(-0.248381\pi\) | |||||||
\(548\) | 0.146182 | − | 0.0310719i | 0.00624458 | − | 0.00132733i | ||||
\(549\) | 10.3082 | + | 4.58951i | 0.439944 | + | 0.195876i | ||||
\(550\) | 0.862276 | − | 0.626480i | 0.0367676 | − | 0.0267132i | ||||
\(551\) | 1.80375 | − | 0.803081i | 0.0768423 | − | 0.0342124i | ||||
\(552\) | 2.02430 | − | 3.50619i | 0.0861599 | − | 0.149233i | ||||
\(553\) | −1.89283 | − | 3.27848i | −0.0804914 | − | 0.139415i | ||||
\(554\) | 8.44931 | + | 6.13878i | 0.358977 | + | 0.260812i | ||||
\(555\) | −9.38226 | − | 1.99426i | −0.398255 | − | 0.0846517i | ||||
\(556\) | 3.37890 | − | 10.3992i | 0.143297 | − | 0.441024i | ||||
\(557\) | 12.4171 | 0.526128 | 0.263064 | − | 0.964778i | \(-0.415267\pi\) | ||||
0.263064 | + | 0.964778i | \(0.415267\pi\) | |||||||
\(558\) | −2.79286 | − | 4.81663i | −0.118231 | − | 0.203904i | ||||
\(559\) | −7.88892 | −0.333666 | ||||||||
\(560\) | 0.155966 | − | 0.480013i | 0.00659075 | − | 0.0202842i | ||||
\(561\) | 2.66552 | + | 0.566573i | 0.112538 | + | 0.0239207i | ||||
\(562\) | 17.8000 | + | 12.9325i | 0.750849 | + | 0.545524i | ||||
\(563\) | −13.5801 | − | 23.5214i | −0.572332 | − | 0.991308i | −0.996326 | − | 0.0856430i | \(-0.972706\pi\) |
0.423994 | − | 0.905665i | \(-0.360628\pi\) | |||||||
\(564\) | 4.85239 | − | 8.40458i | 0.204322 | − | 0.353897i | ||||
\(565\) | 8.44091 | − | 3.75813i | 0.355112 | − | 0.158106i | ||||
\(566\) | −0.743807 | + | 0.540407i | −0.0312645 | + | 0.0227150i | ||||
\(567\) | −0.461080 | − | 0.205286i | −0.0193636 | − | 0.00862121i | ||||
\(568\) | 8.75310 | − | 1.86053i | 0.367272 | − | 0.0780660i | ||||
\(569\) | −1.47609 | + | 14.0440i | −0.0618807 | + | 0.588756i | 0.919015 | + | 0.394222i | \(0.128986\pi\) |
−0.980896 | + | 0.194534i | \(0.937681\pi\) | |||||||
\(570\) | −0.589263 | − | 0.654443i | −0.0246815 | − | 0.0274116i | ||||
\(571\) | 11.3330 | − | 12.5865i | 0.474270 | − | 0.526730i | −0.457777 | − | 0.889067i | \(-0.651354\pi\) |
0.932047 | + | 0.362337i | \(0.118021\pi\) | |||||||
\(572\) | 0.213853 | + | 2.03468i | 0.00894166 | + | 0.0850742i | ||||
\(573\) | 1.79447 | + | 5.52281i | 0.0749651 | + | 0.230719i | ||||
\(574\) | 0.650170 | + | 2.00102i | 0.0271376 | + | 0.0835208i | ||||
\(575\) | 0.423194 | + | 4.02642i | 0.0176484 | + | 0.167913i | ||||
\(576\) | 0.669131 | − | 0.743145i | 0.0278804 | − | 0.0309644i | ||||
\(577\) | −12.1843 | − | 13.5321i | −0.507240 | − | 0.563347i | 0.434075 | − | 0.900877i | \(-0.357075\pi\) |
−0.941315 | + | 0.337530i | \(0.890409\pi\) | |||||||
\(578\) | 1.09368 | − | 10.4057i | 0.0454913 | − | 0.432821i | ||||
\(579\) | −10.0738 | + | 2.14126i | −0.418654 | + | 0.0889875i | ||||
\(580\) | −2.04823 | − | 0.911929i | −0.0850479 | − | 0.0378658i | ||||
\(581\) | 0.322215 | − | 0.234103i | 0.0133677 | − | 0.00971222i | ||||
\(582\) | −7.92403 | + | 3.52801i | −0.328462 | + | 0.146241i | ||||
\(583\) | −0.536352 | + | 0.928989i | −0.0222134 | + | 0.0384748i | ||||
\(584\) | 0.129922 | + | 0.225031i | 0.00537620 | + | 0.00931185i | ||||
\(585\) | 1.55293 | + | 1.12827i | 0.0642055 | + | 0.0466481i | ||||
\(586\) | −5.92525 | − | 1.25945i | −0.244770 | − | 0.0520275i | ||||
\(587\) | −7.02382 | + | 21.6171i | −0.289904 | + | 0.892232i | 0.694982 | + | 0.719027i | \(0.255412\pi\) |
−0.984886 | + | 0.173205i | \(0.944588\pi\) | |||||||
\(588\) | −6.74526 | −0.278170 | ||||||||
\(589\) | 4.47557 | − | 2.00265i | 0.184413 | − | 0.0825177i | ||||
\(590\) | −9.62870 | −0.396407 | ||||||||
\(591\) | 0.473733 | − | 1.45800i | 0.0194868 | − | 0.0599741i | ||||
\(592\) | 9.38226 | + | 1.99426i | 0.385609 | + | 0.0819636i | ||||
\(593\) | 27.6610 | + | 20.0969i | 1.13590 | + | 0.825280i | 0.986543 | − | 0.163503i | \(-0.0522792\pi\) |
0.149358 | + | 0.988783i | \(0.452279\pi\) | |||||||
\(594\) | 0.532916 | + | 0.923038i | 0.0218658 | + | 0.0378727i | ||||
\(595\) | −0.645215 | + | 1.11755i | −0.0264512 | + | 0.0458149i | ||||
\(596\) | 2.85679 | − | 1.27193i | 0.117019 | − | 0.0521001i | ||||
\(597\) | 13.0057 | − | 9.44918i | 0.532287 | − | 0.386729i | ||||
\(598\) | −7.09950 | − | 3.16090i | −0.290320 | − | 0.129259i | ||||
\(599\) | 36.3297 | − | 7.72211i | 1.48439 | − | 0.315517i | 0.606771 | − | 0.794876i | \(-0.292464\pi\) |
0.877619 | + | 0.479359i | \(0.159131\pi\) | |||||||
\(600\) | −0.104528 | + | 0.994522i | −0.00426736 | + | 0.0406012i | ||||
\(601\) | 3.54171 | + | 3.93346i | 0.144469 | + | 0.160449i | 0.811036 | − | 0.584996i | \(-0.198904\pi\) |
−0.666567 | + | 0.745445i | \(0.732237\pi\) | |||||||
\(602\) | 1.38798 | − | 1.54150i | 0.0565697 | − | 0.0628270i | ||||
\(603\) | 0.238267 | + | 2.26696i | 0.00970300 | + | 0.0923178i | ||||
\(604\) | −5.15032 | − | 15.8511i | −0.209564 | − | 0.644971i | ||||
\(605\) | 3.04814 | + | 9.38122i | 0.123925 | + | 0.381401i | ||||
\(606\) | 0.379466 | + | 3.61038i | 0.0154148 | + | 0.146662i | ||||
\(607\) | −17.9184 | + | 19.9004i | −0.727285 | + | 0.807732i | −0.987467 | − | 0.157828i | \(-0.949551\pi\) |
0.260182 | + | 0.965560i | \(0.416218\pi\) | |||||||
\(608\) | 0.589263 | + | 0.654443i | 0.0238978 | + | 0.0265412i | ||||
\(609\) | 0.118285 | − | 1.12540i | 0.00479314 | − | 0.0456037i | ||||
\(610\) | 11.0372 | − | 2.34602i | 0.446882 | − | 0.0949877i | ||||
\(611\) | −17.0180 | − | 7.57690i | −0.688474 | − | 0.306529i | ||||
\(612\) | −2.06845 | + | 1.50282i | −0.0836123 | + | 0.0607479i | ||||
\(613\) | −30.9649 | + | 13.7865i | −1.25066 | + | 0.556830i | −0.921843 | − | 0.387563i | \(-0.873317\pi\) |
−0.328818 | + | 0.944393i | \(0.606650\pi\) | |||||||
\(614\) | −14.6063 | + | 25.2989i | −0.589464 | + | 1.02098i | ||||
\(615\) | −2.08434 | − | 3.61018i | −0.0840486 | − | 0.145576i | ||||
\(616\) | −0.435204 | − | 0.316194i | −0.0175349 | − | 0.0127398i | ||||
\(617\) | −10.4831 | − | 2.22825i | −0.422033 | − | 0.0897058i | −0.00800031 | − | 0.999968i | \(-0.502547\pi\) |
−0.414032 | + | 0.910262i | \(0.635880\pi\) | |||||||
\(618\) | 1.13490 | − | 3.49288i | 0.0456525 | − | 0.140504i | ||||
\(619\) | 42.4657 | 1.70684 | 0.853420 | − | 0.521225i | \(-0.174525\pi\) | ||||
0.853420 | + | 0.521225i | \(0.174525\pi\) | |||||||
\(620\) | −5.09062 | − | 2.25514i | −0.204444 | − | 0.0905684i | ||||
\(621\) | −4.04860 | −0.162465 | ||||||||
\(622\) | −5.15300 | + | 15.8593i | −0.206617 | + | 0.635900i | ||||
\(623\) | −2.94337 | − | 0.625632i | −0.117923 | − | 0.0250654i | ||||
\(624\) | −1.55293 | − | 1.12827i | −0.0621668 | − | 0.0451668i | ||||
\(625\) | −0.500000 | − | 0.866025i | −0.0200000 | − | 0.0346410i | ||||
\(626\) | −13.8114 | + | 23.9221i | −0.552015 | + | 0.956118i | ||||
\(627\) | −0.857466 | + | 0.381769i | −0.0342439 | + | 0.0152464i | ||||
\(628\) | −6.01771 | + | 4.37212i | −0.240133 | + | 0.174467i | ||||
\(629\) | −22.4038 | − | 9.97481i | −0.893297 | − | 0.397722i | ||||
\(630\) | −0.493686 | + | 0.104936i | −0.0196689 | + | 0.00418076i | ||||
\(631\) | 3.09666 | − | 29.4628i | 0.123276 | − | 1.17289i | −0.741577 | − | 0.670868i | \(-0.765922\pi\) |
0.864853 | − | 0.502026i | \(-0.167412\pi\) | |||||||
\(632\) | −5.01888 | − | 5.57403i | −0.199640 | − | 0.221723i | ||||
\(633\) | −5.29114 | + | 5.87641i | −0.210304 | + | 0.233566i | ||||
\(634\) | −0.746866 | − | 7.10595i | −0.0296618 | − | 0.282213i | ||||
\(635\) | 0.522314 | + | 1.60752i | 0.0207274 | + | 0.0637924i | ||||
\(636\) | −0.311010 | − | 0.957189i | −0.0123323 | − | 0.0379550i | ||||
\(637\) | 1.35340 | + | 12.8767i | 0.0536237 | + | 0.510195i | ||||
\(638\) | −1.59900 | + | 1.77586i | −0.0633048 | + | 0.0703072i | ||||
\(639\) | −5.98781 | − | 6.65014i | −0.236874 | − | 0.263076i | ||||
\(640\) | 0.104528 | − | 0.994522i | 0.00413185 | − | 0.0393119i | ||||
\(641\) | 30.2300 | − | 6.42559i | 1.19401 | − | 0.253795i | 0.432312 | − | 0.901724i | \(-0.357698\pi\) |
0.761701 | + | 0.647928i | \(0.224364\pi\) | |||||||
\(642\) | 15.8576 | + | 7.06026i | 0.625849 | + | 0.278646i | ||||
\(643\) | 30.0569 | − | 21.8376i | 1.18533 | − | 0.861191i | 0.192565 | − | 0.981284i | \(-0.438319\pi\) |
0.992763 | + | 0.120093i | \(0.0383194\pi\) | |||||||
\(644\) | 1.86673 | − | 0.831121i | 0.0735594 | − | 0.0327508i | ||||
\(645\) | −2.05492 | + | 3.55923i | −0.0809124 | + | 0.140144i | ||||
\(646\) | −1.12579 | − | 1.94992i | −0.0442935 | − | 0.0767186i | ||||
\(647\) | 17.9864 | + | 13.0679i | 0.707119 | + | 0.513752i | 0.882243 | − | 0.470794i | \(-0.156033\pi\) |
−0.175124 | + | 0.984546i | \(0.556033\pi\) | |||||||
\(648\) | −0.978148 | − | 0.207912i | −0.0384253 | − | 0.00816754i | ||||
\(649\) | −3.17131 | + | 9.76029i | −0.124485 | + | 0.383125i | ||||
\(650\) | 1.91952 | 0.0752898 | ||||||||
\(651\) | 0.288533 | − | 2.79528i | 0.0113085 | − | 0.109556i | ||||
\(652\) | −6.25593 | −0.245001 | ||||||||
\(653\) | −1.19070 | + | 3.66459i | −0.0465955 | + | 0.143406i | −0.971647 | − | 0.236434i | \(-0.924021\pi\) |
0.925052 | + | 0.379841i | \(0.124021\pi\) | |||||||
\(654\) | −5.94043 | − | 1.26268i | −0.232289 | − | 0.0493746i | ||||
\(655\) | 3.08803 | + | 2.24359i | 0.120659 | + | 0.0876642i | ||||
\(656\) | 2.08434 | + | 3.61018i | 0.0813797 | + | 0.140954i | ||||
\(657\) | 0.129922 | − | 0.225031i | 0.00506873 | − | 0.00877929i | ||||
\(658\) | 4.47468 | − | 1.99226i | 0.174441 | − | 0.0776662i | ||||
\(659\) | 20.6044 | − | 14.9700i | 0.802634 | − | 0.583148i | −0.109052 | − | 0.994036i | \(-0.534781\pi\) |
0.911686 | + | 0.410888i | \(0.134781\pi\) | |||||||
\(660\) | 0.973686 | + | 0.433513i | 0.0379007 | + | 0.0168745i | ||||
\(661\) | 39.9028 | − | 8.48161i | 1.55204 | − | 0.329896i | 0.649453 | − | 0.760402i | \(-0.274998\pi\) |
0.902588 | + | 0.430505i | \(0.141665\pi\) | |||||||
\(662\) | 0.918696 | − | 8.74081i | 0.0357061 | − | 0.339721i | ||||
\(663\) | 3.28391 | + | 3.64716i | 0.127537 | + | 0.141644i | ||||
\(664\) | 0.528022 | − | 0.586428i | 0.0204912 | − | 0.0227578i | ||||
\(665\) | −0.0464600 | − | 0.442037i | −0.00180164 | − | 0.0171415i | ||||
\(666\) | −2.96405 | − | 9.12241i | −0.114855 | − | 0.353486i | ||||
\(667\) | −2.80501 | − | 8.63294i | −0.108610 | − | 0.334269i | ||||
\(668\) | −0.928645 | − | 8.83547i | −0.0359304 | − | 0.341855i | ||||
\(669\) | 13.5456 | − | 15.0439i | 0.523703 | − | 0.581632i | ||||
\(670\) | 1.52525 | + | 1.69396i | 0.0589255 | + | 0.0654434i | ||||
\(671\) | 1.25712 | − | 11.9607i | 0.0485306 | − | 0.461737i | ||||
\(672\) | 0.493686 | − | 0.104936i | 0.0190444 | − | 0.00404800i | ||||
\(673\) | 6.67609 | + | 2.97239i | 0.257344 | + | 0.114577i | 0.531354 | − | 0.847150i | \(-0.321683\pi\) |
−0.274010 | + | 0.961727i | \(0.588350\pi\) | |||||||
\(674\) | −6.37269 | + | 4.63003i | −0.245467 | + | 0.178342i | ||||
\(675\) | 0.913545 | − | 0.406737i | 0.0351624 | − | 0.0156553i | ||||
\(676\) | 4.65772 | − | 8.06741i | 0.179143 | − | 0.310285i | ||||
\(677\) | 20.9423 | + | 36.2731i | 0.804878 | + | 1.39409i | 0.916373 | + | 0.400325i | \(0.131103\pi\) |
−0.111495 | + | 0.993765i | \(0.535564\pi\) | |||||||
\(678\) | 7.47509 | + | 5.43097i | 0.287079 | + | 0.208575i | ||||
\(679\) | −4.28220 | − | 0.910209i | −0.164336 | − | 0.0349306i | ||||
\(680\) | −0.790079 | + | 2.43161i | −0.0302981 | + | 0.0932481i | ||||
\(681\) | −21.9907 | −0.842687 | ||||||||
\(682\) | −3.96260 | + | 4.41743i | −0.151736 | + | 0.169152i | ||||
\(683\) | 18.0458 | 0.690505 | 0.345253 | − | 0.938510i | \(-0.387793\pi\) | ||||
0.345253 | + | 0.938510i | \(0.387793\pi\) | |||||||
\(684\) | 0.272133 | − | 0.837538i | 0.0104052 | − | 0.0320241i | ||||
\(685\) | −0.146182 | − | 0.0310719i | −0.00558532 | − | 0.00118720i | ||||
\(686\) | −5.61251 | − | 4.07773i | −0.214287 | − | 0.155688i | ||||
\(687\) | −4.50390 | − | 7.80099i | −0.171835 | − | 0.297626i | ||||
\(688\) | 2.05492 | − | 3.55923i | 0.0783431 | − | 0.135694i | ||||
\(689\) | −1.76488 | + | 0.785774i | −0.0672364 | + | 0.0299356i | ||||
\(690\) | −3.27538 | + | 2.37971i | −0.124692 | + | 0.0905938i | ||||
\(691\) | 4.52697 | + | 2.01554i | 0.172214 | + | 0.0766746i | 0.491033 | − | 0.871141i | \(-0.336619\pi\) |
−0.318819 | + | 0.947816i | \(0.603286\pi\) | |||||||
\(692\) | 15.0772 | − | 3.20475i | 0.573148 | − | 0.121826i | ||||
\(693\) | −0.0562302 | + | 0.534995i | −0.00213601 | + | 0.0203228i | ||||
\(694\) | −4.41619 | − | 4.90467i | −0.167636 | − | 0.186179i | ||||
\(695\) | −7.31651 | + | 8.12581i | −0.277531 | + | 0.308230i | ||||
\(696\) | −0.234359 | − | 2.22978i | −0.00888337 | − | 0.0845196i | ||||
\(697\) | −3.29358 | − | 10.1366i | −0.124753 | − | 0.383951i | ||||
\(698\) | 4.36134 | + | 13.4228i | 0.165079 | + | 0.508062i | ||||
\(699\) | 0.812339 | + | 7.72889i | 0.0307255 | + | 0.292333i | ||||
\(700\) | −0.337720 | + | 0.375077i | −0.0127646 | + | 0.0141766i | ||||
\(701\) | −0.710260 | − | 0.788824i | −0.0268261 | − | 0.0297935i | 0.729582 | − | 0.683893i | \(-0.239714\pi\) |
−0.756409 | + | 0.654099i | \(0.773048\pi\) | |||||||
\(702\) | −0.200645 | + | 1.90901i | −0.00757284 | + | 0.0720508i | ||||
\(703\) | 8.26239 | − | 1.75623i | 0.311622 | − | 0.0662373i | ||||
\(704\) | −0.973686 | − | 0.433513i | −0.0366972 | − | 0.0163386i | ||||
\(705\) | −7.85133 | + | 5.70432i | −0.295698 | + | 0.214837i | ||||
\(706\) | 22.9987 | − | 10.2397i | 0.865568 | − | 0.385376i | ||||
\(707\) | −0.916125 | + | 1.58678i | −0.0344544 | + | 0.0596768i | ||||
\(708\) | −4.81435 | − | 8.33870i | −0.180934 | − | 0.313388i | ||||
\(709\) | −19.4117 | − | 14.1035i | −0.729023 | − | 0.529667i | 0.160231 | − | 0.987080i | \(-0.448776\pi\) |
−0.889254 | + | 0.457413i | \(0.848776\pi\) | |||||||
\(710\) | −8.75310 | − | 1.86053i | −0.328498 | − | 0.0698244i | ||||
\(711\) | −2.31781 | + | 7.13349i | −0.0869247 | + | 0.267527i | ||||
\(712\) | −5.96202 | −0.223436 | ||||||||
\(713\) | −7.00567 | − | 21.4254i | −0.262364 | − | 0.802386i | ||||
\(714\) | −1.29043 | −0.0482931 | ||||||||
\(715\) | 0.632214 | − | 1.94575i | 0.0236435 | − | 0.0727671i | ||||
\(716\) | 12.5796 | + | 2.67387i | 0.470121 | + | 0.0999273i | ||||
\(717\) | −2.02927 | − | 1.47435i | −0.0757845 | − | 0.0550606i | ||||
\(718\) | 3.59611 | + | 6.22865i | 0.134206 | + | 0.232451i | ||||
\(719\) | 1.22986 | − | 2.13018i | 0.0458660 | − | 0.0794422i | −0.842181 | − | 0.539195i | \(-0.818729\pi\) |
0.888047 | + | 0.459753i | \(0.152062\pi\) | |||||||
\(720\) | −0.913545 | + | 0.406737i | −0.0340458 | + | 0.0151582i | ||||
\(721\) | 1.49962 | − | 1.08954i | 0.0558487 | − | 0.0405765i | ||||
\(722\) | −16.6489 | − | 7.41256i | −0.619607 | − | 0.275867i | ||||
\(723\) | 14.9126 | − | 3.16976i | 0.554604 | − | 0.117885i | ||||
\(724\) | 1.14755 | − | 10.9182i | 0.0426482 | − | 0.405770i | ||||
\(725\) | 1.50023 | + | 1.66618i | 0.0557172 | + | 0.0618803i | ||||
\(726\) | −6.60031 | + | 7.33038i | −0.244960 | + | 0.272056i | ||||
\(727\) | 4.43124 | + | 42.1604i | 0.164346 | + | 1.56364i | 0.696850 | + | 0.717217i | \(0.254584\pi\) |
−0.532504 | + | 0.846427i | \(0.678749\pi\) | |||||||
\(728\) | −0.299379 | − | 0.921395i | −0.0110957 | − | 0.0341492i | ||||
\(729\) | 0.309017 | + | 0.951057i | 0.0114451 | + | 0.0352243i | ||||
\(730\) | −0.0271610 | − | 0.258420i | −0.00100527 | − | 0.00956455i | ||||
\(731\) | −7.03111 | + | 7.80884i | −0.260055 | + | 0.288820i | ||||
\(732\) | 7.55030 | + | 8.38546i | 0.279067 | + | 0.309935i | ||||
\(733\) | 3.97248 | − | 37.7956i | 0.146727 | − | 1.39601i | −0.635058 | − | 0.772464i | \(-0.719024\pi\) |
0.781785 | − | 0.623548i | \(-0.214309\pi\) | |||||||
\(734\) | 14.6779 | − | 3.11987i | 0.541769 | − | 0.115157i | ||||
\(735\) | 6.16210 | + | 2.74355i | 0.227293 | + | 0.101197i | ||||
\(736\) | 3.27538 | − | 2.37971i | 0.120732 | − | 0.0877171i | ||||
\(737\) | 2.21947 | − | 0.988171i | 0.0817552 | − | 0.0363997i | ||||
\(738\) | 2.08434 | − | 3.61018i | 0.0767255 | − | 0.132892i | ||||
\(739\) | 11.6260 | + | 20.1368i | 0.427668 | + | 0.740743i | 0.996665 | − | 0.0815965i | \(-0.0260019\pi\) |
−0.568997 | + | 0.822339i | \(0.692669\pi\) | |||||||
\(740\) | −7.75998 | − | 5.63796i | −0.285263 | − | 0.207255i | ||||
\(741\) | −1.65347 | − | 0.351455i | −0.0607416 | − | 0.0129110i | ||||
\(742\) | 0.156971 | − | 0.483108i | 0.00576260 | − | 0.0177355i | ||||
\(743\) | −4.65333 | −0.170714 | −0.0853570 | − | 0.996350i | \(-0.527203\pi\) | ||||
−0.0853570 | + | 0.996350i | \(0.527203\pi\) | |||||||
\(744\) | −0.592303 | − | 5.53617i | −0.0217149 | − | 0.202966i | ||||
\(745\) | −3.12715 | −0.114570 | ||||||||
\(746\) | −5.23062 | + | 16.0982i | −0.191507 | + | 0.589397i | ||||
\(747\) | −0.771873 | − | 0.164067i | −0.0282413 | − | 0.00600288i | ||||
\(748\) | 2.20462 | + | 1.60175i | 0.0806090 | + | 0.0585659i | ||||
\(749\) | 4.38050 | + | 7.58725i | 0.160060 | + | 0.277232i | ||||
\(750\) | 0.500000 | − | 0.866025i | 0.0182574 | − | 0.0316228i | ||||
\(751\) | 1.87845 | − | 0.836339i | 0.0685456 | − | 0.0305185i | −0.372178 | − | 0.928162i | \(-0.621389\pi\) |
0.440723 | + | 0.897643i | \(0.354722\pi\) | |||||||
\(752\) | 7.85133 | − | 5.70432i | 0.286308 | − | 0.208015i | ||||
\(753\) | 20.2397 | + | 9.01129i | 0.737575 | + | 0.328390i | ||||
\(754\) | −4.20964 | + | 0.894786i | −0.153306 | + | 0.0325862i | ||||
\(755\) | −1.74215 | + | 16.5755i | −0.0634035 | + | 0.603244i | ||||
\(756\) | −0.337720 | − | 0.375077i | −0.0122828 | − | 0.0136414i | ||||
\(757\) | 15.9143 | − | 17.6747i | 0.578416 | − | 0.642396i | −0.380938 | − | 0.924601i | \(-0.624399\pi\) |
0.959354 | + | 0.282204i | \(0.0910655\pi\) | |||||||
\(758\) | 2.05172 | + | 19.5208i | 0.0745217 | + | 0.709027i | ||||
\(759\) | 1.33345 | + | 4.10393i | 0.0484011 | + | 0.148963i | ||||
\(760\) | −0.272133 | − | 0.837538i | −0.00987129 | − | 0.0303807i | ||||
\(761\) | 3.85927 | + | 36.7185i | 0.139898 | + | 1.33104i | 0.808971 | + | 0.587848i | \(0.200025\pi\) |
−0.669073 | + | 0.743197i | \(0.733309\pi\) | |||||||
\(762\) | −1.13099 | + | 1.25610i | −0.0409716 | + | 0.0455036i | ||||
\(763\) | −2.05103 | − | 2.27789i | −0.0742521 | − | 0.0824653i | ||||
\(764\) | −0.607000 | + | 5.77522i | −0.0219605 | + | 0.208940i | ||||
\(765\) | 2.50088 | − | 0.531578i | 0.0904194 | − | 0.0192192i | ||||
\(766\) | 20.6696 | + | 9.20269i | 0.746822 | + | 0.332507i | ||||
\(767\) | −14.9527 | + | 10.8637i | −0.539909 | + | 0.392267i | ||||
\(768\) | 0.913545 | − | 0.406737i | 0.0329647 | − | 0.0146768i | ||||
\(769\) | 1.49734 | − | 2.59346i | 0.0539953 | − | 0.0935227i | −0.837764 | − | 0.546032i | \(-0.816138\pi\) |
0.891760 | + | 0.452509i | \(0.149471\pi\) | |||||||
\(770\) | 0.268971 | + | 0.465871i | 0.00969304 | + | 0.0167888i | ||||
\(771\) | −11.0836 | − | 8.05270i | −0.399166 | − | 0.290011i | ||||
\(772\) | −10.0738 | − | 2.14126i | −0.362565 | − | 0.0770655i | ||||
\(773\) | 13.0666 | − | 40.2150i | 0.469974 | − | 1.44643i | −0.382643 | − | 0.923896i | \(-0.624986\pi\) |
0.852617 | − | 0.522536i | \(-0.175014\pi\) | |||||||
\(774\) | −4.10984 | −0.147725 | ||||||||
\(775\) | 3.73326 | + | 4.13071i | 0.134103 | + | 0.148379i | ||||
\(776\) | −8.67393 | −0.311376 | ||||||||
\(777\) | 1.49600 | − | 4.60422i | 0.0536688 | − | 0.165175i | ||||
\(778\) | 2.51744 | + | 0.535099i | 0.0902548 | + | 0.0191842i | ||||
\(779\) | 2.96998 | + | 2.15782i | 0.106411 | + | 0.0773118i | ||||
\(780\) | 0.959760 | + | 1.66235i | 0.0343649 | + | 0.0595218i | ||||
\(781\) | −4.76888 | + | 8.25994i | −0.170644 | + | 0.295564i | ||||
\(782\) | −9.45633 | + | 4.21023i | −0.338158 | + | 0.150558i | ||||
\(783\) | −1.81387 | + | 1.31785i | −0.0648223 | + | 0.0470962i | ||||
\(784\) | −6.16210 | − | 2.74355i | −0.220075 | − | 0.0979838i | ||||
\(785\) | 7.27576 | − | 1.54651i | 0.259683 | − | 0.0551973i | ||||
\(786\) | −0.398987 | + | 3.79611i | −0.0142314 | + | 0.135403i | ||||
\(787\) | 13.1611 | + | 14.6168i | 0.469141 | + | 0.521034i | 0.930556 | − | 0.366151i | \(-0.119325\pi\) |
−0.461414 | + | 0.887185i | \(0.652658\pi\) | |||||||
\(788\) | 1.02580 | − | 1.13926i | 0.0365426 | − | 0.0405846i | ||||
\(789\) | 1.54531 | + | 14.7026i | 0.0550145 | + | 0.523428i | ||||
\(790\) | 2.31781 | + | 7.13349i | 0.0824640 | + | 0.253798i | ||||
\(791\) | 1.44108 | + | 4.43519i | 0.0512389 | + | 0.157697i | ||||
\(792\) | 0.111410 | + | 1.05999i | 0.00395877 | + | 0.0376652i | ||||
\(793\) | 14.4930 | − | 16.0961i | 0.514660 | − | 0.571588i | ||||
\(794\) | −4.29666 | − | 4.77192i | −0.152483 | − | 0.169349i | ||||
\(795\) | −0.105202 | + | 1.00093i | −0.00373115 | + | 0.0354995i | ||||
\(796\) | 15.7246 | − | 3.34237i | 0.557344 | − | 0.118467i | ||||
\(797\) | −0.496801 | − | 0.221190i | −0.0175976 | − | 0.00783495i | 0.397919 | − | 0.917421i | \(-0.369733\pi\) |
−0.415517 | + | 0.909586i | \(0.636399\pi\) | |||||||
\(798\) | 0.359586 | − | 0.261254i | 0.0127292 | − | 0.00924830i | ||||
\(799\) | −22.6675 | + | 10.0922i | −0.801918 | + | 0.357037i | ||||
\(800\) | −0.500000 | + | 0.866025i | −0.0176777 | + | 0.0306186i | ||||
\(801\) | 2.98101 | + | 5.16326i | 0.105329 | + | 0.182435i | ||||
\(802\) | 8.54014 | + | 6.20478i | 0.301563 | + | 0.219098i | ||||
\(803\) | −0.270897 | − | 0.0575810i | −0.00955976 | − | 0.00203199i | ||||
\(804\) | −0.704389 | + | 2.16789i | −0.0248419 | + | 0.0764554i | ||||
\(805\) | −2.04339 | −0.0720200 | ||||||||
\(806\) | −10.4497 | + | 2.24151i | −0.368076 | + | 0.0789539i | ||||
\(807\) | 2.15380 | 0.0758174 | ||||||||
\(808\) | −1.12181 | + | 3.45259i | −0.0394653 | + | 0.121462i | ||||
\(809\) | −23.5502 | − | 5.00574i | −0.827979 | − | 0.175992i | −0.225618 | − | 0.974216i | \(-0.572440\pi\) |
−0.602361 | + | 0.798223i | \(0.705773\pi\) | |||||||
\(810\) | 0.809017 | + | 0.587785i | 0.0284260 | + | 0.0206527i | ||||
\(811\) | 0.420409 | + | 0.728170i | 0.0147626 | + | 0.0255695i | 0.873312 | − | 0.487161i | \(-0.161967\pi\) |
−0.858550 | + | 0.512730i | \(0.828634\pi\) | |||||||
\(812\) | 0.565802 | − | 0.979997i | 0.0198557 | − | 0.0343912i | ||||
\(813\) | −14.9506 | + | 6.65644i | −0.524341 | + | 0.233452i | ||||
\(814\) | −8.27084 | + | 6.00912i | −0.289893 | + | 0.210619i | ||||
\(815\) | 5.71508 | + | 2.54452i | 0.200190 | + | 0.0891305i | ||||
\(816\) | −2.50088 | + | 0.531578i | −0.0875482 | + | 0.0186090i | ||||
\(817\) | 0.378319 | − | 3.59946i | 0.0132357 | − | 0.125929i | ||||
\(818\) | −12.8885 | − | 14.3141i | −0.450635 | − | 0.500481i | ||||
\(819\) | −0.648262 | + | 0.719967i | −0.0226521 | + | 0.0251577i | ||||
\(820\) | −0.435745 | − | 4.14584i | −0.0152169 | − | 0.144779i | ||||
\(821\) | 6.56805 | + | 20.2144i | 0.229226 | + | 0.705487i | 0.997835 | + | 0.0657671i | \(0.0209494\pi\) |
−0.768609 | + | 0.639719i | \(0.779051\pi\) | |||||||
\(822\) | −0.0461819 | − | 0.142133i | −0.00161078 | − | 0.00495746i | ||||
\(823\) | 5.15435 | + | 49.0404i | 0.179669 | + | 1.70944i | 0.598291 | + | 0.801279i | \(0.295847\pi\) |
−0.418622 | + | 0.908161i | \(0.637487\pi\) | |||||||
\(824\) | 2.45747 | − | 2.72929i | 0.0856099 | − | 0.0950794i | ||||
\(825\) | −0.713181 | − | 0.792068i | −0.0248298 | − | 0.0275763i | ||||
\(826\) | 0.507983 | − | 4.83313i | 0.0176750 | − | 0.168166i | ||||
\(827\) | −13.0933 | + | 2.78307i | −0.455300 | + | 0.0967770i | −0.429852 | − | 0.902899i | \(-0.641434\pi\) |
−0.0254475 | + | 0.999676i | \(0.508101\pi\) | |||||||
\(828\) | −3.69858 | − | 1.64671i | −0.128534 | − | 0.0572272i | ||||
\(829\) | 21.1414 | − | 15.3601i | 0.734272 | − | 0.533480i | −0.156640 | − | 0.987656i | \(-0.550066\pi\) |
0.890912 | + | 0.454176i | \(0.150066\pi\) | |||||||
\(830\) | −0.720894 | + | 0.320963i | −0.0250226 | + | 0.0111408i | ||||
\(831\) | 5.22196 | − | 9.04470i | 0.181148 | − | 0.313757i | ||||
\(832\) | −0.959760 | − | 1.66235i | −0.0332737 | − | 0.0576318i | ||||
\(833\) | 13.9523 | + | 10.1369i | 0.483417 | + | 0.351223i | ||||
\(834\) | −10.6954 | − | 2.27338i | −0.370352 | − | 0.0787207i | ||||
\(835\) | −2.74535 | + | 8.44932i | −0.0950068 | + | 0.292401i | ||||
\(836\) | −0.938614 | −0.0324626 | ||||||||
\(837\) | −4.49831 | + | 3.28103i | −0.155484 | + | 0.113409i | ||||
\(838\) | 2.81094 | 0.0971023 | ||||||||
\(839\) | −13.3065 | + | 40.9531i | −0.459390 | + | 1.41386i | 0.406513 | + | 0.913645i | \(0.366744\pi\) |
−0.865903 | + | 0.500212i | \(0.833256\pi\) | |||||||
\(840\) | −0.493686 | − | 0.104936i | −0.0170338 | − | 0.00362064i | ||||
\(841\) | 19.3947 | + | 14.0911i | 0.668782 | + | 0.485899i | ||||
\(842\) | 2.48924 | + | 4.31148i | 0.0857847 | + | 0.148584i | ||||
\(843\) | 11.0010 | − | 19.0543i | 0.378895 | − | 0.656266i | ||||
\(844\) | −7.22385 | + | 3.21627i | −0.248655 | + | 0.110708i | ||||
\(845\) | −7.53635 | + | 5.47548i | −0.259258 | + | 0.188362i | ||||
\(846\) | −8.86575 | − | 3.94729i | −0.304811 | − | 0.135711i | ||||
\(847\) | −4.86972 | + | 1.03509i | −0.167326 | + | 0.0355662i | ||||
\(848\) | 0.105202 | − | 1.00093i | 0.00361267 | − | 0.0343722i | ||||
\(849\) | 0.615196 | + | 0.683244i | 0.0211135 | + | 0.0234489i | ||||
\(850\) | 1.71080 | − | 1.90003i | 0.0586799 | − | 0.0651707i | ||||
\(851\) | −4.05922 | − | 38.6209i | −0.139148 | − | 1.32391i | ||||
\(852\) | −2.76528 | − | 8.51067i | −0.0947371 | − | 0.291571i | ||||
\(853\) | 7.79682 | + | 23.9962i | 0.266958 | + | 0.821613i | 0.991236 | + | 0.132104i | \(0.0421734\pi\) |
−0.724278 | + | 0.689508i | \(0.757827\pi\) | |||||||
\(854\) | 0.595298 | + | 5.66388i | 0.0203707 | + | 0.193814i | ||||
\(855\) | −0.589263 | + | 0.654443i | −0.0201524 | + | 0.0223815i | ||||
\(856\) | 11.6150 | + | 12.8997i | 0.396991 | + | 0.440904i | ||||
\(857\) | −4.52536 | + | 43.0560i | −0.154583 | + | 1.47076i | 0.592251 | + | 0.805754i | \(0.298239\pi\) |
−0.746834 | + | 0.665010i | \(0.768427\pi\) | |||||||
\(858\) | 2.00118 | − | 0.425364i | 0.0683191 | − | 0.0145217i | ||||
\(859\) | 20.7984 | + | 9.26004i | 0.709632 | + | 0.315948i | 0.729621 | − | 0.683852i | \(-0.239696\pi\) |
−0.0199891 | + | 0.999800i | \(0.506363\pi\) | |||||||
\(860\) | −3.32493 | + | 2.41570i | −0.113379 | + | 0.0823748i | ||||
\(861\) | 1.92209 | − | 0.855771i | 0.0655048 | − | 0.0291646i | ||||
\(862\) | −1.89281 | + | 3.27844i | −0.0644693 | + | 0.111664i | ||||
\(863\) | 14.5028 | + | 25.1196i | 0.493681 | + | 0.855081i | 0.999973 | − | 0.00728118i | \(-0.00231769\pi\) |
−0.506292 | + | 0.862362i | \(0.668984\pi\) | |||||||
\(864\) | −0.809017 | − | 0.587785i | −0.0275233 | − | 0.0199969i | ||||
\(865\) | −15.0772 | − | 3.20475i | −0.512639 | − | 0.108965i | ||||
\(866\) | 4.38551 | − | 13.4972i | 0.149026 | − | 0.458654i | ||||
\(867\) | −10.4630 | −0.355343 | ||||||||
\(868\) | 1.40053 | − | 2.43626i | 0.0475372 | − | 0.0826921i | ||||
\(869\) | 7.99437 | 0.271190 | ||||||||
\(870\) | −0.692835 | + | 2.13233i | −0.0234893 | + | 0.0722927i | ||||
\(871\) | 4.27984 | + | 0.909707i | 0.145017 | + | 0.0308243i | ||||
\(872\) | −4.91328 | − | 3.56970i | −0.166385 | − | 0.120885i | ||||
\(873\) | 4.33697 | + | 7.51184i | 0.146784 | + | 0.254237i | ||||
\(874\) | 1.78268 | − | 3.08769i | 0.0603000 | − | 0.104443i | ||||
\(875\) | 0.461080 | − | 0.205286i | 0.0155874 | − | 0.00693994i | ||||
\(876\) | 0.210218 | − | 0.152732i | 0.00710260 | − | 0.00516034i | ||||
\(877\) | −36.3831 | − | 16.1988i | −1.22857 | − | 0.546995i | −0.313231 | − | 0.949677i | \(-0.601411\pi\) |
−0.915340 | + | 0.402682i | \(0.868078\pi\) | |||||||
\(878\) | 24.1968 | − | 5.14319i | 0.816603 | − | 0.173574i | ||||
\(879\) | −0.633195 | + | 6.02444i | −0.0213571 | + | 0.203199i | ||||
\(880\) | 0.713181 | + | 0.792068i | 0.0240413 | + | 0.0267006i | ||||
\(881\) | −12.6947 | + | 14.0988i | −0.427694 | + | 0.475002i | −0.918018 | − | 0.396538i | \(-0.870212\pi\) |
0.490325 | + | 0.871540i | \(0.336878\pi\) | |||||||
\(882\) | 0.705072 | + | 6.70831i | 0.0237410 | + | 0.225881i | ||||
\(883\) | −4.78390 | − | 14.7233i | −0.160991 | − | 0.495479i | 0.837728 | − | 0.546088i | \(-0.183884\pi\) |
−0.998719 | + | 0.0506090i | \(0.983884\pi\) | |||||||
\(884\) | 1.51657 | + | 4.66753i | 0.0510079 | + | 0.156986i | ||||
\(885\) | 1.00647 | + | 9.57596i | 0.0338322 | + | 0.321892i | ||||
\(886\) | −0.831056 | + | 0.922982i | −0.0279199 | + | 0.0310082i | ||||
\(887\) | 14.0746 | + | 15.6314i | 0.472577 | + | 0.524850i | 0.931556 | − | 0.363597i | \(-0.118451\pi\) |
−0.458979 | + | 0.888447i | \(0.651785\pi\) | |||||||
\(888\) | 1.00262 | − | 9.53932i | 0.0336458 | − | 0.320119i | ||||
\(889\) | −0.834450 | + | 0.177368i | −0.0279866 | + | 0.00594873i | ||||
\(890\) | 5.44658 | + | 2.42497i | 0.182570 | + | 0.0812853i | ||||
\(891\) | 0.862276 | − | 0.626480i | 0.0288873 | − | 0.0209879i | ||||
\(892\) | 18.4934 | − | 8.23381i | 0.619206 | − | 0.275688i | ||||
\(893\) | 4.27320 | − | 7.40140i | 0.142997 | − | 0.247679i | ||||
\(894\) | −1.56358 | − | 2.70819i | −0.0522938 | − | 0.0905755i | ||||
\(895\) | −10.4045 | − | 7.55928i | −0.347783 | − | 0.252679i | ||||
\(896\) | 0.493686 | + | 0.104936i | 0.0164929 | + | 0.00350567i | ||||
\(897\) | −2.40148 | + | 7.39101i | −0.0801832 | + | 0.246779i | ||||
\(898\) | −14.9651 | −0.499392 | ||||||||
\(899\) | −10.1128 | − | 7.31866i | −0.337282 | − | 0.244091i | ||||
\(900\) | 1.00000 | 0.0333333 | ||||||||
\(901\) | −0.795173 | + | 2.44729i | −0.0264911 | + | 0.0815311i | ||||
\(902\) | −4.34601 | − | 0.923774i | −0.144706 | − | 0.0307583i | ||||
\(903\) | −1.67814 | − | 1.21924i | −0.0558451 | − | 0.0405738i | ||||
\(904\) | 4.61986 | + | 8.00184i | 0.153654 | + | 0.266137i | ||||
\(905\) | −5.48915 | + | 9.50749i | −0.182466 | + | 0.316040i | ||||
\(906\) | −15.2259 | + | 6.77900i | −0.505846 | + | 0.225217i | ||||
\(907\) | −46.9038 | + | 34.0776i | −1.55742 | + | 1.13153i | −0.619328 | + | 0.785132i | \(0.712595\pi\) |
−0.938088 | + | 0.346397i | \(0.887405\pi\) | |||||||
\(908\) | −20.0895 | − | 8.94444i | −0.666694 | − | 0.296832i | ||||
\(909\) | 3.55094 | − | 0.754775i | 0.117777 | − | 0.0250343i | ||||
\(910\) | −0.101268 | + | 0.963504i | −0.00335701 | + | 0.0319399i | ||||
\(911\) | 17.7565 | + | 19.7206i | 0.588298 | + | 0.653371i | 0.961637 | − | 0.274324i | \(-0.0884539\pi\) |
−0.373339 | + | 0.927695i | \(0.621787\pi\) | |||||||
\(912\) | 0.589263 | − | 0.654443i | 0.0195124 | − | 0.0216708i | ||||
\(913\) | 0.0879153 | + | 0.836458i | 0.00290957 | + | 0.0276827i | ||||
\(914\) | 1.97392 | + | 6.07510i | 0.0652914 | + | 0.200946i | ||||
\(915\) | −3.48687 | − | 10.7315i | −0.115272 | − | 0.354772i | ||||
\(916\) | −0.941573 | − | 8.95846i | −0.0311104 | − | 0.295996i | ||||
\(917\) | −1.28908 | + | 1.43167i | −0.0425693 | + | 0.0472780i | ||||
\(918\) | 1.71080 | + | 1.90003i | 0.0564648 | + | 0.0627105i | ||||
\(919\) | 4.83895 | − | 46.0395i | 0.159622 | − | 1.51870i | −0.562419 | − | 0.826853i | \(-0.690129\pi\) |
0.722041 | − | 0.691851i | \(-0.243204\pi\) | |||||||
\(920\) | −3.96013 | + | 0.841751i | −0.130561 | + | 0.0277517i | ||||
\(921\) | 26.6871 | + | 11.8819i | 0.879370 | + | 0.391521i | ||||
\(922\) | −25.5244 | + | 18.5446i | −0.840601 | + | 0.610732i | ||||
\(923\) | −15.6921 | + | 6.98656i | −0.516511 | + | 0.229966i | ||||
\(924\) | −0.268971 | + | 0.465871i | −0.00884849 | + | 0.0153260i | ||||
\(925\) | 4.79593 | + | 8.30680i | 0.157689 | + | 0.273126i | ||||
\(926\) | 5.37373 | + | 3.90424i | 0.176592 | + | 0.128301i | ||||
\(927\) | −3.59237 | − | 0.763582i | −0.117989 | − | 0.0250793i | ||||
\(928\) | 0.692835 | − | 2.13233i | 0.0227434 | − | 0.0699971i | ||||
\(929\) | 52.4160 | 1.71971 | 0.859856 | − | 0.510537i | \(-0.170553\pi\) | ||||
0.859856 | + | 0.510537i | \(0.170553\pi\) | |||||||
\(930\) | −1.71067 | + | 5.29845i | −0.0560950 | + | 0.173743i | ||||
\(931\) | −5.94014 | −0.194680 | ||||||||
\(932\) | −2.40151 | + | 7.39110i | −0.0786642 | + | 0.242103i | ||||
\(933\) | 16.3111 | + | 3.46702i | 0.534000 | + | 0.113505i | ||||
\(934\) | 4.82798 | + | 3.50773i | 0.157976 | + | 0.114776i | ||||
\(935\) | −1.36253 | − | 2.35998i | −0.0445596 | − | 0.0771794i | ||||
\(936\) | −0.959760 | + | 1.66235i | −0.0313708 | + | 0.0543357i | ||||
\(937\) | −26.9766 | + | 12.0108i | −0.881288 | + | 0.392375i | −0.796938 | − | 0.604062i | \(-0.793548\pi\) |
−0.0843500 | + | 0.996436i | \(0.526881\pi\) | |||||||
\(938\) | −0.930752 | + | 0.676231i | −0.0303901 | + | 0.0220797i | ||||
\(939\) | 25.2347 | + | 11.2352i | 0.823503 | + | 0.366647i | ||||
\(940\) | −9.49270 | + | 2.01774i | −0.309618 | + | 0.0658113i | ||||
\(941\) | −5.91015 | + | 56.2313i | −0.192665 | + | 1.83309i | 0.289698 | + | 0.957118i | \(0.406445\pi\) |
−0.482363 | + | 0.875971i | \(0.660221\pi\) | |||||||
\(942\) | 4.97720 | + | 5.52774i | 0.162166 | + | 0.180103i | ||||
\(943\) | 11.2931 | − | 12.5423i | 0.367754 | − | 0.408432i | ||||
\(944\) | −1.00647 | − | 9.57596i | −0.0327579 | − | 0.311671i | ||||
\(945\) | 0.155966 | + | 0.480013i | 0.00507356 | + | 0.0156148i | ||||
\(946\) | 1.35362 | + | 4.16601i | 0.0440099 | + | 0.135449i | ||||
\(947\) | 2.30595 | + | 21.9396i | 0.0749333 | + | 0.712943i | 0.965907 | + | 0.258888i | \(0.0833561\pi\) |
−0.890974 | + | 0.454054i | \(0.849977\pi\) | |||||||
\(948\) | −5.01888 | + | 5.57403i | −0.163005 | + | 0.181036i | ||||
\(949\) | −0.333745 | − | 0.370662i | −0.0108338 | − | 0.0120322i | ||||
\(950\) | −0.0920519 | + | 0.875815i | −0.00298656 | + | 0.0284152i | ||||
\(951\) | −6.98896 | + | 1.48555i | −0.226632 | + | 0.0481722i | ||||
\(952\) | −1.17887 | − | 0.524865i | −0.0382073 | − | 0.0170110i | ||||
\(953\) | 32.9103 | − | 23.9107i | 1.06607 | − | 0.774544i | 0.0908674 | − | 0.995863i | \(-0.471036\pi\) |
0.975202 | + | 0.221319i | \(0.0710361\pi\) | |||||||
\(954\) | −0.919436 | + | 0.409359i | −0.0297678 | + | 0.0132535i | ||||
\(955\) | 2.90351 | − | 5.02903i | 0.0939555 | − | 0.162736i | ||||
\(956\) | −1.25416 | − | 2.17226i | −0.0405624 | − | 0.0702561i | ||||
\(957\) | 1.93328 | + | 1.40461i | 0.0624940 | + | 0.0454045i | ||||
\(958\) | 7.30597 | + | 1.55293i | 0.236045 | + | 0.0501729i | ||||
\(959\) | 0.0233087 | − | 0.0717368i | 0.000752677 | − | 0.00231650i | ||||
\(960\) | −1.00000 | −0.0322749 | ||||||||
\(961\) | −25.1472 | − | 18.1278i | −0.811201 | − | 0.584767i | ||||
\(962\) | −18.4118 | −0.593620 | ||||||||
\(963\) | 5.36401 | − | 16.5087i | 0.172853 | − | 0.531986i | ||||
\(964\) | 14.9126 | + | 3.16976i | 0.480301 | + | 0.102091i | ||||
\(965\) | 8.33196 | + | 6.05352i | 0.268215 | + | 0.194870i | ||||
\(966\) | −1.02169 | − | 1.76963i | −0.0328725 | − | 0.0569368i | ||||
\(967\) | −5.12117 | + | 8.87014i | −0.164686 | + | 0.285244i | −0.936544 | − | 0.350551i | \(-0.885994\pi\) |
0.771858 | + | 0.635795i | \(0.219328\pi\) | |||||||
\(968\) | −9.01121 | + | 4.01205i | −0.289631 | + | 0.128952i | ||||
\(969\) | −1.82156 | + | 1.32344i | −0.0585170 | + | 0.0425151i | ||||
\(970\) | 7.92403 | + | 3.52801i | 0.254425 | + | 0.113277i | ||||
\(971\) | 41.5371 | − | 8.82899i | 1.33299 | − | 0.283336i | 0.514319 | − | 0.857599i | \(-0.328045\pi\) |
0.818671 | + | 0.574263i | \(0.194711\pi\) | |||||||
\(972\) | −0.104528 | + | 0.994522i | −0.00335275 | + | 0.0318993i | ||||
\(973\) | −3.69276 | − | 4.10122i | −0.118384 | − | 0.131479i | ||||
\(974\) | 9.83815 | − | 10.9264i | 0.315235 | − | 0.350104i | ||||
\(975\) | −0.200645 | − | 1.90901i | −0.00642577 | − | 0.0611371i | ||||
\(976\) | 3.48687 | + | 10.7315i | 0.111612 | + | 0.343506i | ||||
\(977\) | −9.35480 | − | 28.7911i | −0.299287 | − | 0.921110i | −0.981748 | − | 0.190188i | \(-0.939090\pi\) |
0.682461 | − | 0.730922i | \(-0.260910\pi\) | |||||||
\(978\) | 0.653923 | + | 6.22166i | 0.0209101 | + | 0.198947i | ||||
\(979\) | 4.25200 | − | 4.72232i | 0.135894 | − | 0.150926i | ||||
\(980\) | 4.51346 | + | 5.01271i | 0.144177 | + | 0.160125i | ||||
\(981\) | −0.634816 | + | 6.03987i | −0.0202681 | + | 0.192838i | ||||
\(982\) | −31.2591 | + | 6.64432i | −0.997517 | + | 0.212029i | ||||
\(983\) | −17.7096 | − | 7.88482i | −0.564848 | − | 0.251487i | 0.104388 | − | 0.994537i | \(-0.466712\pi\) |
−0.669236 | + | 0.743050i | \(0.733378\pi\) | |||||||
\(984\) | 3.37253 | − | 2.45028i | 0.107512 | − | 0.0781122i | ||||
\(985\) | −1.40049 | + | 0.623540i | −0.0446235 | + | 0.0198676i | ||||
\(986\) | −2.86619 | + | 4.96440i | −0.0912782 | + | 0.158099i | ||||
\(987\) | −2.44907 | − | 4.24192i | −0.0779549 | − | 0.135022i | ||||
\(988\) | −1.36757 | − | 0.993596i | −0.0435081 | − | 0.0316105i | ||||
\(989\) | −16.2755 | − | 3.45946i | −0.517530 | − | 0.110004i | ||||
\(990\) | 0.329360 | − | 1.01367i | 0.0104678 | − | 0.0322164i | ||||
\(991\) | 37.2609 | 1.18363 | 0.591816 | − | 0.806073i | \(-0.298411\pi\) | ||||
0.591816 | + | 0.806073i | \(0.298411\pi\) | |||||||
\(992\) | 1.71067 | − | 5.29845i | 0.0543137 | − | 0.168226i | ||||
\(993\) | −8.78896 | −0.278909 | ||||||||
\(994\) | 1.39568 | − | 4.29547i | 0.0442683 | − | 0.136244i | ||||
\(995\) | −15.7246 | − | 3.34237i | −0.498504 | − | 0.105960i | ||||
\(996\) | −0.638409 | − | 0.463831i | −0.0202288 | − | 0.0146971i | ||||
\(997\) | −2.33752 | − | 4.04870i | −0.0740299 | − | 0.128224i | 0.826634 | − | 0.562740i | \(-0.190253\pi\) |
−0.900664 | + | 0.434516i | \(0.856919\pi\) | |||||||
\(998\) | −9.30111 | + | 16.1100i | −0.294422 | + | 0.509953i | ||||
\(999\) | −8.76261 | + | 3.90136i | −0.277237 | + | 0.123434i |
(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 | 930.2.bg.d.691.1 | ✓ | 16 | |
31.7 | even | 15 | inner | 930.2.bg.d.751.1 | yes | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.bg.d.691.1 | ✓ | 16 | 1.1 | even | 1 | trivial | |
930.2.bg.d.751.1 | yes | 16 | 31.7 | even | 15 | inner |