Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(31,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 0, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.31");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.m (of order \(11\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.50967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{11})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} - 5 x^{19} + 8 x^{18} - 32 x^{17} + 277 x^{16} - 1138 x^{15} + 2950 x^{14} - 6404 x^{13} + \cdots + 7921 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 541.1 | ||
Root | \(3.40070 + 0.998536i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 690.541 |
Dual form | 690.2.m.d.301.1 |
$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{10}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.841254 | − | 0.540641i | 0.594856 | − | 0.382291i | ||||
\(3\) | 0.142315 | − | 0.989821i | 0.0821655 | − | 0.571474i | ||||
\(4\) | 0.415415 | − | 0.909632i | 0.207708 | − | 0.454816i | ||||
\(5\) | 0.959493 | − | 0.281733i | 0.429098 | − | 0.125995i | ||||
\(6\) | −0.415415 | − | 0.909632i | −0.169592 | − | 0.371356i | ||||
\(7\) | −1.67997 | − | 1.93879i | −0.634968 | − | 0.732792i | 0.343509 | − | 0.939149i | \(-0.388384\pi\) |
−0.978477 | + | 0.206357i | \(0.933839\pi\) | |||||||
\(8\) | −0.142315 | − | 0.989821i | −0.0503159 | − | 0.349955i | ||||
\(9\) | −0.959493 | − | 0.281733i | −0.319831 | − | 0.0939109i | ||||
\(10\) | 0.654861 | − | 0.755750i | 0.207085 | − | 0.238989i | ||||
\(11\) | −2.76610 | − | 1.77766i | −0.834010 | − | 0.535985i | 0.0525400 | − | 0.998619i | \(-0.483268\pi\) |
−0.886550 | + | 0.462633i | \(0.846905\pi\) | |||||||
\(12\) | −0.841254 | − | 0.540641i | −0.242849 | − | 0.156070i | ||||
\(13\) | −0.430994 | + | 0.497394i | −0.119536 | + | 0.137952i | −0.812363 | − | 0.583151i | \(-0.801819\pi\) |
0.692827 | + | 0.721104i | \(0.256365\pi\) | |||||||
\(14\) | −2.46147 | − | 0.722751i | −0.657854 | − | 0.193163i | ||||
\(15\) | −0.142315 | − | 0.989821i | −0.0367455 | − | 0.255571i | ||||
\(16\) | −0.654861 | − | 0.755750i | −0.163715 | − | 0.188937i | ||||
\(17\) | 0.0578863 | + | 0.126753i | 0.0140395 | + | 0.0307422i | 0.916522 | − | 0.399985i | \(-0.130985\pi\) |
−0.902482 | + | 0.430727i | \(0.858257\pi\) | |||||||
\(18\) | −0.959493 | + | 0.281733i | −0.226155 | + | 0.0664050i | ||||
\(19\) | 1.15549 | − | 2.53016i | 0.265087 | − | 0.580459i | −0.729545 | − | 0.683932i | \(-0.760268\pi\) |
0.994632 | + | 0.103473i | \(0.0329956\pi\) | |||||||
\(20\) | 0.142315 | − | 0.989821i | 0.0318226 | − | 0.221331i | ||||
\(21\) | −2.15814 | + | 1.38695i | −0.470944 | + | 0.302657i | ||||
\(22\) | −3.28807 | −0.701018 | ||||||||
\(23\) | 0.901053 | − | 4.71042i | 0.187883 | − | 0.982192i | ||||
\(24\) | −1.00000 | −0.204124 | ||||||||
\(25\) | 0.841254 | − | 0.540641i | 0.168251 | − | 0.108128i | ||||
\(26\) | −0.0936640 | + | 0.651448i | −0.0183690 | + | 0.127759i | ||||
\(27\) | −0.415415 | + | 0.909632i | −0.0799467 | + | 0.175059i | ||||
\(28\) | −2.46147 | + | 0.722751i | −0.465173 | + | 0.136587i | ||||
\(29\) | 1.89762 | + | 4.15522i | 0.352380 | + | 0.771605i | 0.999954 | + | 0.00960200i | \(0.00305646\pi\) |
−0.647574 | + | 0.762003i | \(0.724216\pi\) | |||||||
\(30\) | −0.654861 | − | 0.755750i | −0.119561 | − | 0.137980i | ||||
\(31\) | 0.109859 | + | 0.764087i | 0.0197313 | + | 0.137234i | 0.997306 | − | 0.0733555i | \(-0.0233708\pi\) |
−0.977575 | + | 0.210589i | \(0.932462\pi\) | |||||||
\(32\) | −0.959493 | − | 0.281733i | −0.169616 | − | 0.0498038i | ||||
\(33\) | −2.15323 | + | 2.48495i | −0.374828 | + | 0.432575i | ||||
\(34\) | 0.117225 | + | 0.0753360i | 0.0201039 | + | 0.0129200i | ||||
\(35\) | −2.15814 | − | 1.38695i | −0.364792 | − | 0.234437i | ||||
\(36\) | −0.654861 | + | 0.755750i | −0.109143 | + | 0.125958i | ||||
\(37\) | 3.95770 | + | 1.16208i | 0.650641 | + | 0.191046i | 0.590365 | − | 0.807136i | \(-0.298984\pi\) |
0.0602760 | + | 0.998182i | \(0.480802\pi\) | |||||||
\(38\) | −0.395852 | − | 2.75321i | −0.0642157 | − | 0.446630i | ||||
\(39\) | 0.430994 | + | 0.497394i | 0.0690143 | + | 0.0796468i | ||||
\(40\) | −0.415415 | − | 0.909632i | −0.0656829 | − | 0.143825i | ||||
\(41\) | −1.26148 | + | 0.370403i | −0.197010 | + | 0.0578472i | −0.378749 | − | 0.925500i | \(-0.623646\pi\) |
0.181739 | + | 0.983347i | \(0.441827\pi\) | |||||||
\(42\) | −1.06570 | + | 2.33355i | −0.164441 | + | 0.360075i | ||||
\(43\) | 0.230800 | − | 1.60525i | 0.0351966 | − | 0.244798i | −0.964626 | − | 0.263622i | \(-0.915083\pi\) |
0.999823 | + | 0.0188236i | \(0.00599208\pi\) | |||||||
\(44\) | −2.76610 | + | 1.77766i | −0.417005 | + | 0.267993i | ||||
\(45\) | −1.00000 | −0.149071 | ||||||||
\(46\) | −1.78863 | − | 4.44981i | −0.263720 | − | 0.656088i | ||||
\(47\) | 11.5007 | 1.67755 | 0.838774 | − | 0.544480i | \(-0.183273\pi\) | ||||
0.838774 | + | 0.544480i | \(0.183273\pi\) | |||||||
\(48\) | −0.841254 | + | 0.540641i | −0.121424 | + | 0.0780348i | ||||
\(49\) | 0.0596044 | − | 0.414558i | 0.00851491 | − | 0.0592225i | ||||
\(50\) | 0.415415 | − | 0.909632i | 0.0587486 | − | 0.128641i | ||||
\(51\) | 0.133701 | − | 0.0392582i | 0.0187219 | − | 0.00549725i | ||||
\(52\) | 0.273404 | + | 0.598671i | 0.0379143 | + | 0.0830208i | ||||
\(53\) | −1.71849 | − | 1.98324i | −0.236053 | − | 0.272420i | 0.625347 | − | 0.780347i | \(-0.284957\pi\) |
−0.861400 | + | 0.507927i | \(0.830412\pi\) | |||||||
\(54\) | 0.142315 | + | 0.989821i | 0.0193666 | + | 0.134698i | ||||
\(55\) | −3.15488 | − | 0.926355i | −0.425403 | − | 0.124910i | ||||
\(56\) | −1.67997 | + | 1.93879i | −0.224495 | + | 0.259081i | ||||
\(57\) | −2.33997 | − | 1.50381i | −0.309936 | − | 0.199184i | ||||
\(58\) | 3.84286 | + | 2.46966i | 0.504593 | + | 0.324282i | ||||
\(59\) | −2.61938 | + | 3.02292i | −0.341014 | + | 0.393551i | −0.900190 | − | 0.435498i | \(-0.856572\pi\) |
0.559176 | + | 0.829049i | \(0.311118\pi\) | |||||||
\(60\) | −0.959493 | − | 0.281733i | −0.123870 | − | 0.0363715i | ||||
\(61\) | −0.0859029 | − | 0.597468i | −0.0109987 | − | 0.0764980i | 0.983583 | − | 0.180458i | \(-0.0577578\pi\) |
−0.994582 | + | 0.103960i | \(0.966849\pi\) | |||||||
\(62\) | 0.505516 | + | 0.583396i | 0.0642006 | + | 0.0740914i | ||||
\(63\) | 1.06570 | + | 2.33355i | 0.134265 | + | 0.294000i | ||||
\(64\) | −0.959493 | + | 0.281733i | −0.119937 | + | 0.0352166i | ||||
\(65\) | −0.273404 | + | 0.598671i | −0.0339116 | + | 0.0742560i | ||||
\(66\) | −0.467941 | + | 3.25460i | −0.0575995 | + | 0.400613i | ||||
\(67\) | 9.14743 | − | 5.87870i | 1.11754 | − | 0.718197i | 0.154614 | − | 0.987975i | \(-0.450587\pi\) |
0.962923 | + | 0.269778i | \(0.0869503\pi\) | |||||||
\(68\) | 0.139346 | 0.0168982 | ||||||||
\(69\) | −4.53425 | − | 1.56225i | −0.545859 | − | 0.188072i | ||||
\(70\) | −2.56538 | −0.306622 | ||||||||
\(71\) | −9.47019 | + | 6.08612i | −1.12390 | + | 0.722290i | −0.964279 | − | 0.264888i | \(-0.914665\pi\) |
−0.159626 | + | 0.987178i | \(0.551029\pi\) | |||||||
\(72\) | −0.142315 | + | 0.989821i | −0.0167720 | + | 0.116652i | ||||
\(73\) | −0.989072 | + | 2.16577i | −0.115762 | + | 0.253484i | −0.958640 | − | 0.284621i | \(-0.908132\pi\) |
0.842878 | + | 0.538105i | \(0.180860\pi\) | |||||||
\(74\) | 3.95770 | − | 1.16208i | 0.460073 | − | 0.135090i | ||||
\(75\) | −0.415415 | − | 0.909632i | −0.0479680 | − | 0.105035i | ||||
\(76\) | −1.82151 | − | 2.10214i | −0.208942 | − | 0.241132i | ||||
\(77\) | 1.20045 | + | 8.34928i | 0.136804 | + | 0.951489i | ||||
\(78\) | 0.631487 | + | 0.185421i | 0.0715018 | + | 0.0209948i | ||||
\(79\) | 7.89859 | − | 9.11546i | 0.888661 | − | 1.02557i | −0.110835 | − | 0.993839i | \(-0.535353\pi\) |
0.999496 | − | 0.0317308i | \(-0.0101019\pi\) | |||||||
\(80\) | −0.841254 | − | 0.540641i | −0.0940550 | − | 0.0604455i | ||||
\(81\) | 0.841254 | + | 0.540641i | 0.0934726 | + | 0.0600712i | ||||
\(82\) | −0.860967 | + | 0.993609i | −0.0950779 | + | 0.109726i | ||||
\(83\) | −1.26997 | − | 0.372896i | −0.139397 | − | 0.0409307i | 0.211290 | − | 0.977423i | \(-0.432234\pi\) |
−0.350687 | + | 0.936493i | \(0.614052\pi\) | |||||||
\(84\) | 0.365092 | + | 2.53927i | 0.0398348 | + | 0.277057i | ||||
\(85\) | 0.0912520 | + | 0.105310i | 0.00989767 | + | 0.0114225i | ||||
\(86\) | −0.673701 | − | 1.47520i | −0.0726471 | − | 0.159075i | ||||
\(87\) | 4.38298 | − | 1.28696i | 0.469905 | − | 0.137977i | ||||
\(88\) | −1.36591 | + | 2.99093i | −0.145607 | + | 0.318834i | ||||
\(89\) | −2.22071 | + | 15.4454i | −0.235395 | + | 1.63721i | 0.438750 | + | 0.898609i | \(0.355421\pi\) |
−0.674145 | + | 0.738599i | \(0.735488\pi\) | |||||||
\(90\) | −0.841254 | + | 0.540641i | −0.0886759 | + | 0.0569885i | ||||
\(91\) | 1.68840 | 0.176992 | ||||||||
\(92\) | −3.91044 | − | 2.77641i | −0.407692 | − | 0.289461i | ||||
\(93\) | 0.771944 | 0.0800469 | ||||||||
\(94\) | 9.67499 | − | 6.21774i | 0.997899 | − | 0.641311i | ||||
\(95\) | 0.395852 | − | 2.75321i | 0.0406136 | − | 0.282474i | ||||
\(96\) | −0.415415 | + | 0.909632i | −0.0423981 | + | 0.0928389i | ||||
\(97\) | 14.2780 | − | 4.19239i | 1.44971 | − | 0.425673i | 0.540263 | − | 0.841496i | \(-0.318325\pi\) |
0.909445 | + | 0.415824i | \(0.136507\pi\) | |||||||
\(98\) | −0.173984 | − | 0.380973i | −0.0175751 | − | 0.0384840i | ||||
\(99\) | 2.15323 | + | 2.48495i | 0.216407 | + | 0.249747i | ||||
\(100\) | −0.142315 | − | 0.989821i | −0.0142315 | − | 0.0989821i | ||||
\(101\) | −0.403921 | − | 0.118602i | −0.0401917 | − | 0.0118013i | 0.261575 | − | 0.965183i | \(-0.415758\pi\) |
−0.301767 | + | 0.953382i | \(0.597576\pi\) | |||||||
\(102\) | 0.0912520 | − | 0.105310i | 0.00903530 | − | 0.0104273i | ||||
\(103\) | −9.44613 | − | 6.07066i | −0.930755 | − | 0.598160i | −0.0149958 | − | 0.999888i | \(-0.504773\pi\) |
−0.915759 | + | 0.401728i | \(0.868410\pi\) | |||||||
\(104\) | 0.553668 | + | 0.355821i | 0.0542916 | + | 0.0348911i | ||||
\(105\) | −1.67997 | + | 1.93879i | −0.163948 | + | 0.189206i | ||||
\(106\) | −2.51791 | − | 0.739325i | −0.244561 | − | 0.0718096i | ||||
\(107\) | 1.65305 | + | 11.4972i | 0.159806 | + | 1.11148i | 0.898988 | + | 0.437973i | \(0.144303\pi\) |
−0.739182 | + | 0.673506i | \(0.764788\pi\) | |||||||
\(108\) | 0.654861 | + | 0.755750i | 0.0630140 | + | 0.0727220i | ||||
\(109\) | 2.09921 | + | 4.59662i | 0.201067 | + | 0.440276i | 0.983126 | − | 0.182928i | \(-0.0585577\pi\) |
−0.782059 | + | 0.623205i | \(0.785830\pi\) | |||||||
\(110\) | −3.15488 | + | 0.926355i | −0.300806 | + | 0.0883245i | ||||
\(111\) | 1.71350 | − | 3.75203i | 0.162638 | − | 0.356127i | ||||
\(112\) | −0.365092 | + | 2.53927i | −0.0344979 | + | 0.239938i | ||||
\(113\) | 4.60488 | − | 2.95938i | 0.433191 | − | 0.278395i | −0.305819 | − | 0.952090i | \(-0.598930\pi\) |
0.739009 | + | 0.673695i | \(0.235294\pi\) | |||||||
\(114\) | −2.78152 | −0.260514 | ||||||||
\(115\) | −0.462526 | − | 4.77348i | −0.0431308 | − | 0.445129i | ||||
\(116\) | 4.56802 | 0.424130 | ||||||||
\(117\) | 0.553668 | − | 0.355821i | 0.0511866 | − | 0.0328957i | ||||
\(118\) | −0.569245 | + | 3.95919i | −0.0524033 | + | 0.364473i | ||||
\(119\) | 0.148500 | − | 0.325171i | 0.0136130 | − | 0.0298083i | ||||
\(120\) | −0.959493 | + | 0.281733i | −0.0875893 | + | 0.0257185i | ||||
\(121\) | −0.0783560 | − | 0.171576i | −0.00712328 | − | 0.0155978i | ||||
\(122\) | −0.395282 | − | 0.456180i | −0.0357871 | − | 0.0413006i | ||||
\(123\) | 0.187106 | + | 1.30135i | 0.0168708 | + | 0.117339i | ||||
\(124\) | 0.740675 | + | 0.217482i | 0.0665146 | + | 0.0195304i | ||||
\(125\) | 0.654861 | − | 0.755750i | 0.0585725 | − | 0.0675963i | ||||
\(126\) | 2.15814 | + | 1.38695i | 0.192262 | + | 0.123559i | ||||
\(127\) | 9.15551 | + | 5.88389i | 0.812421 | + | 0.522111i | 0.879647 | − | 0.475627i | \(-0.157779\pi\) |
−0.0672266 | + | 0.997738i | \(0.521415\pi\) | |||||||
\(128\) | −0.654861 | + | 0.755750i | −0.0578821 | + | 0.0667995i | ||||
\(129\) | −1.55606 | − | 0.456901i | −0.137004 | − | 0.0402279i | ||||
\(130\) | 0.0936640 | + | 0.651448i | 0.00821488 | + | 0.0571357i | ||||
\(131\) | 1.83950 | + | 2.12289i | 0.160718 | + | 0.185478i | 0.830397 | − | 0.557173i | \(-0.188114\pi\) |
−0.669679 | + | 0.742651i | \(0.733568\pi\) | |||||||
\(132\) | 1.36591 | + | 2.99093i | 0.118887 | + | 0.260327i | ||||
\(133\) | −6.84663 | + | 2.01035i | −0.593678 | + | 0.174319i | ||||
\(134\) | 4.51704 | − | 9.89095i | 0.390213 | − | 0.854448i | ||||
\(135\) | −0.142315 | + | 0.989821i | −0.0122485 | + | 0.0851903i | ||||
\(136\) | 0.117225 | − | 0.0753360i | 0.0100520 | − | 0.00646001i | ||||
\(137\) | 11.1059 | 0.948843 | 0.474422 | − | 0.880298i | \(-0.342657\pi\) | ||||
0.474422 | + | 0.880298i | \(0.342657\pi\) | |||||||
\(138\) | −4.65906 | + | 1.13715i | −0.396606 | + | 0.0968010i | ||||
\(139\) | 15.3683 | 1.30352 | 0.651760 | − | 0.758425i | \(-0.274031\pi\) | ||||
0.651760 | + | 0.758425i | \(0.274031\pi\) | |||||||
\(140\) | −2.15814 | + | 1.38695i | −0.182396 | + | 0.117219i | ||||
\(141\) | 1.63672 | − | 11.3836i | 0.137837 | − | 0.958674i | ||||
\(142\) | −4.67642 | + | 10.2399i | −0.392437 | + | 0.859317i | ||||
\(143\) | 2.07637 | − | 0.609678i | 0.173635 | − | 0.0509838i | ||||
\(144\) | 0.415415 | + | 0.909632i | 0.0346179 | + | 0.0758027i | ||||
\(145\) | 2.99142 | + | 3.45228i | 0.248424 | + | 0.286696i | ||||
\(146\) | 0.338841 | + | 2.35669i | 0.0280427 | + | 0.195041i | ||||
\(147\) | −0.401855 | − | 0.117995i | −0.0331445 | − | 0.00973209i | ||||
\(148\) | 2.70116 | − | 3.11730i | 0.222034 | − | 0.256240i | ||||
\(149\) | 7.42977 | + | 4.77482i | 0.608671 | + | 0.391169i | 0.808358 | − | 0.588691i | \(-0.200356\pi\) |
−0.199688 | + | 0.979860i | \(0.563993\pi\) | |||||||
\(150\) | −0.841254 | − | 0.540641i | −0.0686881 | − | 0.0441431i | ||||
\(151\) | 0.727083 | − | 0.839099i | 0.0591692 | − | 0.0682849i | −0.725393 | − | 0.688335i | \(-0.758342\pi\) |
0.784563 | + | 0.620050i | \(0.212888\pi\) | |||||||
\(152\) | −2.66885 | − | 0.783646i | −0.216473 | − | 0.0635621i | ||||
\(153\) | −0.0198310 | − | 0.137927i | −0.00160324 | − | 0.0111508i | ||||
\(154\) | 5.52384 | + | 6.37486i | 0.445124 | + | 0.513700i | ||||
\(155\) | 0.320677 | + | 0.702185i | 0.0257574 | + | 0.0564009i | ||||
\(156\) | 0.631487 | − | 0.185421i | 0.0505594 | − | 0.0148456i | ||||
\(157\) | 3.07285 | − | 6.72860i | 0.245240 | − | 0.537001i | −0.746482 | − | 0.665406i | \(-0.768259\pi\) |
0.991722 | + | 0.128405i | \(0.0409858\pi\) | |||||||
\(158\) | 1.71653 | − | 11.9387i | 0.136560 | − | 0.949793i | ||||
\(159\) | −2.20762 | + | 1.41875i | −0.175076 | + | 0.112515i | ||||
\(160\) | −1.00000 | −0.0790569 | ||||||||
\(161\) | −10.6462 | + | 6.16641i | −0.839042 | + | 0.485981i | ||||
\(162\) | 1.00000 | 0.0785674 | ||||||||
\(163\) | 15.7121 | − | 10.0975i | 1.23066 | − | 0.790900i | 0.246670 | − | 0.969099i | \(-0.420664\pi\) |
0.983994 | + | 0.178199i | \(0.0570272\pi\) | |||||||
\(164\) | −0.187106 | + | 1.30135i | −0.0146105 | + | 0.101618i | ||||
\(165\) | −1.36591 | + | 2.99093i | −0.106336 | + | 0.232844i | ||||
\(166\) | −1.26997 | + | 0.372896i | −0.0985686 | + | 0.0289424i | ||||
\(167\) | 7.03416 | + | 15.4027i | 0.544320 | + | 1.19189i | 0.959384 | + | 0.282102i | \(0.0910317\pi\) |
−0.415065 | + | 0.909792i | \(0.636241\pi\) | |||||||
\(168\) | 1.67997 | + | 1.93879i | 0.129612 | + | 0.149581i | ||||
\(169\) | 1.78845 | + | 12.4389i | 0.137573 | + | 0.956841i | ||||
\(170\) | 0.133701 | + | 0.0392582i | 0.0102544 | + | 0.00301097i | ||||
\(171\) | −1.82151 | + | 2.10214i | −0.139294 | + | 0.160754i | ||||
\(172\) | −1.36431 | − | 0.876787i | −0.104027 | − | 0.0668544i | ||||
\(173\) | 1.25843 | + | 0.808746i | 0.0956770 | + | 0.0614878i | 0.587604 | − | 0.809148i | \(-0.300071\pi\) |
−0.491927 | + | 0.870636i | \(0.663707\pi\) | |||||||
\(174\) | 2.99142 | − | 3.45228i | 0.226779 | − | 0.261717i | ||||
\(175\) | −2.46147 | − | 0.722751i | −0.186069 | − | 0.0546349i | ||||
\(176\) | 0.467941 | + | 3.25460i | 0.0352723 | + | 0.245325i | ||||
\(177\) | 2.61938 | + | 3.02292i | 0.196884 | + | 0.227217i | ||||
\(178\) | 6.48223 | + | 14.1941i | 0.485864 | + | 1.06389i | ||||
\(179\) | −21.5425 | + | 6.32546i | −1.61016 | + | 0.472787i | −0.958351 | − | 0.285592i | \(-0.907810\pi\) |
−0.651813 | + | 0.758379i | \(0.725992\pi\) | |||||||
\(180\) | −0.415415 | + | 0.909632i | −0.0309632 | + | 0.0678000i | ||||
\(181\) | 1.29533 | − | 9.00920i | 0.0962810 | − | 0.669649i | −0.883331 | − | 0.468750i | \(-0.844705\pi\) |
0.979612 | − | 0.200899i | \(-0.0643863\pi\) | |||||||
\(182\) | 1.42037 | − | 0.912816i | 0.105285 | − | 0.0676625i | ||||
\(183\) | −0.603612 | −0.0446203 | ||||||||
\(184\) | −4.79071 | − | 0.221518i | −0.353176 | − | 0.0163305i | ||||
\(185\) | 4.12478 | 0.303260 | ||||||||
\(186\) | 0.649401 | − | 0.417344i | 0.0476164 | − | 0.0306012i | ||||
\(187\) | 0.0652055 | − | 0.453514i | 0.00476830 | − | 0.0331643i | ||||
\(188\) | 4.77756 | − | 10.4614i | 0.348439 | − | 0.762975i | ||||
\(189\) | 2.46147 | − | 0.722751i | 0.179045 | − | 0.0525724i | ||||
\(190\) | −1.15549 | − | 2.53016i | −0.0838278 | − | 0.183557i | ||||
\(191\) | −13.8138 | − | 15.9420i | −0.999532 | − | 1.15352i | −0.988135 | − | 0.153586i | \(-0.950918\pi\) |
−0.0113962 | − | 0.999935i | \(-0.503628\pi\) | |||||||
\(192\) | 0.142315 | + | 0.989821i | 0.0102707 | + | 0.0714342i | ||||
\(193\) | −17.7636 | − | 5.21586i | −1.27865 | − | 0.375446i | −0.429246 | − | 0.903188i | \(-0.641221\pi\) |
−0.849405 | + | 0.527742i | \(0.823039\pi\) | |||||||
\(194\) | 9.74482 | − | 11.2461i | 0.699637 | − | 0.807424i | ||||
\(195\) | 0.553668 | + | 0.355821i | 0.0396490 | + | 0.0254809i | ||||
\(196\) | −0.352334 | − | 0.226431i | −0.0251667 | − | 0.0161737i | ||||
\(197\) | −3.73869 | + | 4.31468i | −0.266371 | + | 0.307408i | −0.873140 | − | 0.487470i | \(-0.837920\pi\) |
0.606769 | + | 0.794878i | \(0.292465\pi\) | |||||||
\(198\) | 3.15488 | + | 0.926355i | 0.224207 | + | 0.0658332i | ||||
\(199\) | 0.194025 | + | 1.34947i | 0.0137541 | + | 0.0956617i | 0.995542 | − | 0.0943177i | \(-0.0300670\pi\) |
−0.981788 | + | 0.189979i | \(0.939158\pi\) | |||||||
\(200\) | −0.654861 | − | 0.755750i | −0.0463056 | − | 0.0534396i | ||||
\(201\) | −4.51704 | − | 9.89095i | −0.318608 | − | 0.697654i | ||||
\(202\) | −0.403921 | + | 0.118602i | −0.0284198 | + | 0.00834480i | ||||
\(203\) | 4.86813 | − | 10.6597i | 0.341676 | − | 0.748166i | ||||
\(204\) | 0.0198310 | − | 0.137927i | 0.00138845 | − | 0.00965685i | ||||
\(205\) | −1.10602 | + | 0.710798i | −0.0772480 | + | 0.0496443i | ||||
\(206\) | −11.2286 | −0.782336 | ||||||||
\(207\) | −2.19163 | + | 4.26576i | −0.152329 | + | 0.296491i | ||||
\(208\) | 0.658147 | 0.0456343 | ||||||||
\(209\) | −7.69397 | + | 4.94461i | −0.532203 | + | 0.342026i | ||||
\(210\) | −0.365092 | + | 2.53927i | −0.0251937 | + | 0.175226i | ||||
\(211\) | −4.52174 | + | 9.90123i | −0.311289 | + | 0.681629i | −0.999016 | − | 0.0443407i | \(-0.985881\pi\) |
0.687727 | + | 0.725969i | \(0.258609\pi\) | |||||||
\(212\) | −2.51791 | + | 0.739325i | −0.172931 | + | 0.0507771i | ||||
\(213\) | 4.67642 | + | 10.2399i | 0.320423 | + | 0.701629i | ||||
\(214\) | 7.60650 | + | 8.77837i | 0.519970 | + | 0.600077i | ||||
\(215\) | −0.230800 | − | 1.60525i | −0.0157404 | − | 0.109477i | ||||
\(216\) | 0.959493 | + | 0.281733i | 0.0652852 | + | 0.0191695i | ||||
\(217\) | 1.29684 | − | 1.49663i | 0.0880353 | − | 0.101598i | ||||
\(218\) | 4.25108 | + | 2.73201i | 0.287920 | + | 0.185035i | ||||
\(219\) | 2.00296 | + | 1.28723i | 0.135348 | + | 0.0869826i | ||||
\(220\) | −2.15323 | + | 2.48495i | −0.145170 | + | 0.167536i | ||||
\(221\) | −0.0879950 | − | 0.0258377i | −0.00591919 | − | 0.00173803i | ||||
\(222\) | −0.587017 | − | 4.08279i | −0.0393980 | − | 0.274019i | ||||
\(223\) | 0.609548 | + | 0.703456i | 0.0408183 | + | 0.0471069i | 0.775792 | − | 0.630989i | \(-0.217351\pi\) |
−0.734973 | + | 0.678096i | \(0.762805\pi\) | |||||||
\(224\) | 1.06570 | + | 2.33355i | 0.0712049 | + | 0.155917i | ||||
\(225\) | −0.959493 | + | 0.281733i | −0.0639662 | + | 0.0187822i | ||||
\(226\) | 2.27391 | − | 4.97917i | 0.151258 | − | 0.331210i | ||||
\(227\) | 2.17190 | − | 15.1059i | 0.144154 | − | 1.00261i | −0.781409 | − | 0.624020i | \(-0.785498\pi\) |
0.925563 | − | 0.378594i | \(-0.123592\pi\) | |||||||
\(228\) | −2.33997 | + | 1.50381i | −0.154968 | + | 0.0995920i | ||||
\(229\) | −0.346499 | −0.0228973 | −0.0114487 | − | 0.999934i | \(-0.503644\pi\) | ||||
−0.0114487 | + | 0.999934i | \(0.503644\pi\) | |||||||
\(230\) | −2.96984 | − | 3.76564i | −0.195825 | − | 0.248299i | ||||
\(231\) | 8.43514 | 0.554992 | ||||||||
\(232\) | 3.84286 | − | 2.46966i | 0.252296 | − | 0.162141i | ||||
\(233\) | −2.49449 | + | 17.3496i | −0.163419 | + | 1.13661i | 0.728709 | + | 0.684824i | \(0.240121\pi\) |
−0.892128 | + | 0.451783i | \(0.850788\pi\) | |||||||
\(234\) | 0.273404 | − | 0.598671i | 0.0178730 | − | 0.0391364i | ||||
\(235\) | 11.0348 | − | 3.24012i | 0.719833 | − | 0.211362i | ||||
\(236\) | 1.66162 | + | 3.63844i | 0.108162 | + | 0.236842i | ||||
\(237\) | −7.89859 | − | 9.11546i | −0.513069 | − | 0.592113i | ||||
\(238\) | −0.0508740 | − | 0.353836i | −0.00329767 | − | 0.0229358i | ||||
\(239\) | −19.3808 | − | 5.69073i | −1.25364 | − | 0.368103i | −0.413518 | − | 0.910496i | \(-0.635700\pi\) |
−0.840124 | + | 0.542394i | \(0.817518\pi\) | |||||||
\(240\) | −0.654861 | + | 0.755750i | −0.0422711 | + | 0.0487834i | ||||
\(241\) | −15.6564 | − | 10.0617i | −1.00852 | − | 0.648134i | −0.0715078 | − | 0.997440i | \(-0.522781\pi\) |
−0.937009 | + | 0.349306i | \(0.886417\pi\) | |||||||
\(242\) | −0.158678 | − | 0.101976i | −0.0102002 | − | 0.00655528i | ||||
\(243\) | 0.654861 | − | 0.755750i | 0.0420093 | − | 0.0484814i | ||||
\(244\) | −0.579161 | − | 0.170057i | −0.0370770 | − | 0.0108868i | ||||
\(245\) | −0.0596044 | − | 0.414558i | −0.00380798 | − | 0.0264851i | ||||
\(246\) | 0.860967 | + | 0.993609i | 0.0548932 | + | 0.0633502i | ||||
\(247\) | 0.760480 | + | 1.66522i | 0.0483882 | + | 0.105955i | ||||
\(248\) | 0.740675 | − | 0.217482i | 0.0470329 | − | 0.0138101i | ||||
\(249\) | −0.549836 | + | 1.20397i | −0.0348444 | + | 0.0762987i | ||||
\(250\) | 0.142315 | − | 0.989821i | 0.00900078 | − | 0.0626018i | ||||
\(251\) | −8.95597 | + | 5.75565i | −0.565296 | + | 0.363294i | −0.791860 | − | 0.610703i | \(-0.790887\pi\) |
0.226564 | + | 0.973996i | \(0.427251\pi\) | |||||||
\(252\) | 2.56538 | 0.161604 | ||||||||
\(253\) | −10.8659 | + | 11.4277i | −0.683136 | + | 0.718455i | ||||
\(254\) | 10.8832 | 0.682872 | ||||||||
\(255\) | 0.117225 | − | 0.0753360i | 0.00734092 | − | 0.00471772i | ||||
\(256\) | −0.142315 | + | 0.989821i | −0.00889468 | + | 0.0618638i | ||||
\(257\) | −10.2930 | + | 22.5384i | −0.642057 | + | 1.40591i | 0.256280 | + | 0.966602i | \(0.417503\pi\) |
−0.898337 | + | 0.439306i | \(0.855224\pi\) | |||||||
\(258\) | −1.55606 | + | 0.456901i | −0.0968762 | + | 0.0284454i | ||||
\(259\) | −4.39577 | − | 9.62539i | −0.273140 | − | 0.598093i | ||||
\(260\) | 0.430994 | + | 0.497394i | 0.0267291 | + | 0.0308471i | ||||
\(261\) | −0.650097 | − | 4.52153i | −0.0402400 | − | 0.279875i | ||||
\(262\) | 2.69520 | + | 0.791384i | 0.166510 | + | 0.0488918i | ||||
\(263\) | 11.2635 | − | 12.9988i | 0.694537 | − | 0.801539i | −0.293466 | − | 0.955969i | \(-0.594809\pi\) |
0.988004 | + | 0.154430i | \(0.0493543\pi\) | |||||||
\(264\) | 2.76610 | + | 1.77766i | 0.170242 | + | 0.109408i | ||||
\(265\) | −2.20762 | − | 1.41875i | −0.135613 | − | 0.0871534i | ||||
\(266\) | −4.67287 | + | 5.39278i | −0.286512 | + | 0.330653i | ||||
\(267\) | 14.9721 | + | 4.39622i | 0.916280 | + | 0.269044i | ||||
\(268\) | −1.54747 | − | 10.7629i | −0.0945268 | − | 0.657448i | ||||
\(269\) | −1.58979 | − | 1.83471i | −0.0969310 | − | 0.111864i | 0.705212 | − | 0.708997i | \(-0.250852\pi\) |
−0.802142 | + | 0.597133i | \(0.796307\pi\) | |||||||
\(270\) | 0.415415 | + | 0.909632i | 0.0252814 | + | 0.0553584i | ||||
\(271\) | 2.23992 | − | 0.657701i | 0.136066 | − | 0.0399525i | −0.212991 | − | 0.977054i | \(-0.568320\pi\) |
0.349056 | + | 0.937102i | \(0.386502\pi\) | |||||||
\(272\) | 0.0578863 | − | 0.126753i | 0.00350987 | − | 0.00768555i | ||||
\(273\) | 0.240284 | − | 1.67121i | 0.0145426 | − | 0.101146i | ||||
\(274\) | 9.34290 | − | 6.00432i | 0.564425 | − | 0.362734i | ||||
\(275\) | −3.28807 | −0.198278 | ||||||||
\(276\) | −3.30466 | + | 3.47552i | −0.198917 | + | 0.209201i | ||||
\(277\) | −8.57936 | −0.515484 | −0.257742 | − | 0.966214i | \(-0.582978\pi\) | ||||
−0.257742 | + | 0.966214i | \(0.582978\pi\) | |||||||
\(278\) | 12.9286 | − | 8.30872i | 0.775407 | − | 0.498324i | ||||
\(279\) | 0.109859 | − | 0.764087i | 0.00657709 | − | 0.0457447i | ||||
\(280\) | −1.06570 | + | 2.33355i | −0.0636876 | + | 0.139456i | ||||
\(281\) | −15.6516 | + | 4.59572i | −0.933696 | + | 0.274158i | −0.712983 | − | 0.701181i | \(-0.752656\pi\) |
−0.220713 | + | 0.975339i | \(0.570838\pi\) | |||||||
\(282\) | −4.77756 | − | 10.4614i | −0.284499 | − | 0.622967i | ||||
\(283\) | 3.78537 | + | 4.36855i | 0.225017 | + | 0.259683i | 0.857021 | − | 0.515282i | \(-0.172313\pi\) |
−0.632004 | + | 0.774965i | \(0.717767\pi\) | |||||||
\(284\) | 1.60207 | + | 11.1427i | 0.0950655 | + | 0.661195i | ||||
\(285\) | −2.66885 | − | 0.783646i | −0.158089 | − | 0.0464192i | ||||
\(286\) | 1.41714 | − | 1.63546i | 0.0837971 | − | 0.0967071i | ||||
\(287\) | 2.83737 | + | 1.82347i | 0.167485 | + | 0.107636i | ||||
\(288\) | 0.841254 | + | 0.540641i | 0.0495713 | + | 0.0318576i | ||||
\(289\) | 11.1199 | − | 12.8331i | 0.654113 | − | 0.754886i | ||||
\(290\) | 4.38298 | + | 1.28696i | 0.257378 | + | 0.0755729i | ||||
\(291\) | −2.11775 | − | 14.7293i | −0.124145 | − | 0.863446i | ||||
\(292\) | 1.55917 | + | 1.79938i | 0.0912438 | + | 0.105301i | ||||
\(293\) | 5.24002 | + | 11.4740i | 0.306125 | + | 0.670321i | 0.998697 | − | 0.0510279i | \(-0.0162498\pi\) |
−0.692572 | + | 0.721349i | \(0.743522\pi\) | |||||||
\(294\) | −0.401855 | + | 0.117995i | −0.0234367 | + | 0.00688163i | ||||
\(295\) | −1.66162 | + | 3.63844i | −0.0967432 | + | 0.211838i | ||||
\(296\) | 0.587017 | − | 4.08279i | 0.0341197 | − | 0.237308i | ||||
\(297\) | 2.76610 | − | 1.77766i | 0.160505 | − | 0.103150i | ||||
\(298\) | 8.83179 | 0.511612 | ||||||||
\(299\) | 1.95459 | + | 2.47835i | 0.113037 | + | 0.143326i | ||||
\(300\) | −1.00000 | −0.0577350 | ||||||||
\(301\) | −3.49997 | + | 2.24929i | −0.201735 | + | 0.129647i | ||||
\(302\) | 0.158010 | − | 1.09899i | 0.00909247 | − | 0.0632395i | ||||
\(303\) | −0.174879 | + | 0.382931i | −0.0100465 | + | 0.0219988i | ||||
\(304\) | −2.66885 | + | 0.783646i | −0.153069 | + | 0.0449452i | ||||
\(305\) | −0.250749 | − | 0.549065i | −0.0143579 | − | 0.0314394i | ||||
\(306\) | −0.0912520 | − | 0.105310i | −0.00521653 | − | 0.00602020i | ||||
\(307\) | 0.916320 | + | 6.37314i | 0.0522971 | + | 0.363735i | 0.999119 | + | 0.0419753i | \(0.0133651\pi\) |
−0.946822 | + | 0.321759i | \(0.895726\pi\) | |||||||
\(308\) | 8.09346 | + | 2.37645i | 0.461168 | + | 0.135411i | ||||
\(309\) | −7.35319 | + | 8.48604i | −0.418309 | + | 0.482754i | ||||
\(310\) | 0.649401 | + | 0.417344i | 0.0368835 | + | 0.0237036i | ||||
\(311\) | −3.43757 | − | 2.20919i | −0.194927 | − | 0.125272i | 0.439537 | − | 0.898225i | \(-0.355143\pi\) |
−0.634464 | + | 0.772953i | \(0.718779\pi\) | |||||||
\(312\) | 0.430994 | − | 0.497394i | 0.0244003 | − | 0.0281594i | ||||
\(313\) | 5.61542 | + | 1.64884i | 0.317402 | + | 0.0931978i | 0.436553 | − | 0.899678i | \(-0.356199\pi\) |
−0.119151 | + | 0.992876i | \(0.538017\pi\) | |||||||
\(314\) | −1.05271 | − | 7.32177i | −0.0594079 | − | 0.413191i | ||||
\(315\) | 1.67997 | + | 1.93879i | 0.0946554 | + | 0.109238i | ||||
\(316\) | −5.01052 | − | 10.9715i | −0.281864 | − | 0.617196i | ||||
\(317\) | −2.20295 | + | 0.646846i | −0.123730 | + | 0.0363305i | −0.343011 | − | 0.939331i | \(-0.611447\pi\) |
0.219281 | + | 0.975662i | \(0.429629\pi\) | |||||||
\(318\) | −1.09014 | + | 2.38706i | −0.0611318 | + | 0.133860i | ||||
\(319\) | 2.13756 | − | 14.8671i | 0.119681 | − | 0.832396i | ||||
\(320\) | −0.841254 | + | 0.540641i | −0.0470275 | + | 0.0302227i | ||||
\(321\) | 11.6155 | 0.648311 | ||||||||
\(322\) | −5.62238 | + | 10.9433i | −0.313323 | + | 0.609847i | ||||
\(323\) | 0.387594 | 0.0215663 | ||||||||
\(324\) | 0.841254 | − | 0.540641i | 0.0467363 | − | 0.0300356i | ||||
\(325\) | −0.0936640 | + | 0.651448i | −0.00519555 | + | 0.0361358i | ||||
\(326\) | 7.75870 | − | 16.9892i | 0.429715 | − | 0.940944i | ||||
\(327\) | 4.84858 | − | 1.42367i | 0.268127 | − | 0.0787292i | ||||
\(328\) | 0.546160 | + | 1.19592i | 0.0301566 | + | 0.0660338i | ||||
\(329\) | −19.3208 | − | 22.2974i | −1.06519 | − | 1.22929i | ||||
\(330\) | 0.467941 | + | 3.25460i | 0.0257593 | + | 0.179160i | ||||
\(331\) | −20.9406 | − | 6.14871i | −1.15100 | − | 0.337964i | −0.350070 | − | 0.936723i | \(-0.613842\pi\) |
−0.800929 | + | 0.598760i | \(0.795661\pi\) | |||||||
\(332\) | −0.866762 | + | 1.00030i | −0.0475698 | + | 0.0548984i | ||||
\(333\) | −3.46998 | − | 2.23002i | −0.190154 | − | 0.122205i | ||||
\(334\) | 14.2448 | + | 9.15459i | 0.779442 | + | 0.500917i | ||||
\(335\) | 7.12067 | − | 8.21770i | 0.389044 | − | 0.448981i | ||||
\(336\) | 2.46147 | + | 0.722751i | 0.134284 | + | 0.0394293i | ||||
\(337\) | 2.25560 | + | 15.6881i | 0.122871 | + | 0.854584i | 0.954278 | + | 0.298920i | \(0.0966265\pi\) |
−0.831407 | + | 0.555663i | \(0.812464\pi\) | |||||||
\(338\) | 8.22953 | + | 9.49739i | 0.447628 | + | 0.516590i | ||||
\(339\) | −2.27391 | − | 4.97917i | −0.123502 | − | 0.270431i | ||||
\(340\) | 0.133701 | − | 0.0392582i | 0.00725097 | − | 0.00212908i | ||||
\(341\) | 1.05441 | − | 2.30883i | 0.0570994 | − | 0.125030i | ||||
\(342\) | −0.395852 | + | 2.75321i | −0.0214052 | + | 0.148877i | ||||
\(343\) | −16.0108 | + | 10.2895i | −0.864503 | + | 0.555582i | ||||
\(344\) | −1.62176 | −0.0874392 | ||||||||
\(345\) | −4.79071 | − | 0.221518i | −0.257923 | − | 0.0119261i | ||||
\(346\) | 1.49590 | 0.0804203 | ||||||||
\(347\) | −1.44116 | + | 0.926179i | −0.0773657 | + | 0.0497199i | −0.578752 | − | 0.815504i | \(-0.696460\pi\) |
0.501386 | + | 0.865224i | \(0.332824\pi\) | |||||||
\(348\) | 0.650097 | − | 4.52153i | 0.0348489 | − | 0.242379i | ||||
\(349\) | 1.33770 | − | 2.92916i | 0.0716055 | − | 0.156794i | −0.870445 | − | 0.492266i | \(-0.836169\pi\) |
0.942050 | + | 0.335472i | \(0.108896\pi\) | |||||||
\(350\) | −2.46147 | + | 0.722751i | −0.131571 | + | 0.0386327i | ||||
\(351\) | −0.273404 | − | 0.598671i | −0.0145932 | − | 0.0319547i | ||||
\(352\) | 2.15323 | + | 2.48495i | 0.114767 | + | 0.132449i | ||||
\(353\) | −2.99699 | − | 20.8445i | −0.159514 | − | 1.10944i | −0.899532 | − | 0.436855i | \(-0.856092\pi\) |
0.740018 | − | 0.672587i | \(-0.234817\pi\) | |||||||
\(354\) | 3.83788 | + | 1.12690i | 0.203981 | + | 0.0598942i | ||||
\(355\) | −7.37192 | + | 8.50765i | −0.391261 | + | 0.451539i | ||||
\(356\) | 13.1271 | + | 8.43628i | 0.695735 | + | 0.447122i | ||||
\(357\) | −0.300727 | − | 0.193266i | −0.0159162 | − | 0.0102287i | ||||
\(358\) | −14.7029 | + | 16.9681i | −0.777074 | + | 0.896791i | ||||
\(359\) | −16.0345 | − | 4.70816i | −0.846270 | − | 0.248487i | −0.170278 | − | 0.985396i | \(-0.554467\pi\) |
−0.675992 | + | 0.736909i | \(0.736285\pi\) | |||||||
\(360\) | 0.142315 | + | 0.989821i | 0.00750065 | + | 0.0521682i | ||||
\(361\) | 7.37578 | + | 8.51210i | 0.388199 | + | 0.448005i | ||||
\(362\) | −3.78104 | − | 8.27933i | −0.198727 | − | 0.435152i | ||||
\(363\) | −0.180981 | + | 0.0531407i | −0.00949902 | + | 0.00278916i | ||||
\(364\) | 0.701386 | − | 1.53582i | 0.0367626 | − | 0.0804988i | ||||
\(365\) | −0.338841 | + | 2.35669i | −0.0177357 | + | 0.123355i | ||||
\(366\) | −0.507791 | + | 0.326337i | −0.0265426 | + | 0.0170579i | ||||
\(367\) | 4.60931 | 0.240604 | 0.120302 | − | 0.992737i | \(-0.461614\pi\) | ||||
0.120302 | + | 0.992737i | \(0.461614\pi\) | |||||||
\(368\) | −4.14997 | + | 2.40370i | −0.216332 | + | 0.125302i | ||||
\(369\) | 1.31473 | 0.0684423 | ||||||||
\(370\) | 3.46998 | − | 2.23002i | 0.180396 | − | 0.115933i | ||||
\(371\) | −0.958077 | + | 6.66357i | −0.0497409 | + | 0.345955i | ||||
\(372\) | 0.320677 | − | 0.702185i | 0.0166263 | − | 0.0364066i | ||||
\(373\) | −20.7924 | + | 6.10520i | −1.07659 | + | 0.316115i | −0.771514 | − | 0.636213i | \(-0.780500\pi\) |
−0.305076 | + | 0.952328i | \(0.598682\pi\) | |||||||
\(374\) | −0.190334 | − | 0.416773i | −0.00984194 | − | 0.0215508i | ||||
\(375\) | −0.654861 | − | 0.755750i | −0.0338169 | − | 0.0390267i | ||||
\(376\) | −1.63672 | − | 11.3836i | −0.0844073 | − | 0.587066i | ||||
\(377\) | −2.88465 | − | 0.847009i | −0.148567 | − | 0.0436232i | ||||
\(378\) | 1.67997 | − | 1.93879i | 0.0864082 | − | 0.0997204i | ||||
\(379\) | −2.25423 | − | 1.44871i | −0.115792 | − | 0.0744151i | 0.481463 | − | 0.876466i | \(-0.340106\pi\) |
−0.597255 | + | 0.802051i | \(0.703742\pi\) | |||||||
\(380\) | −2.33997 | − | 1.50381i | −0.120038 | − | 0.0771436i | ||||
\(381\) | 7.12697 | − | 8.22496i | 0.365126 | − | 0.421377i | ||||
\(382\) | −20.2398 | − | 5.94294i | −1.03556 | − | 0.304067i | ||||
\(383\) | −2.78514 | − | 19.3711i | −0.142314 | − | 0.989817i | −0.928369 | − | 0.371660i | \(-0.878789\pi\) |
0.786055 | − | 0.618157i | \(-0.212120\pi\) | |||||||
\(384\) | 0.654861 | + | 0.755750i | 0.0334182 | + | 0.0385667i | ||||
\(385\) | 3.50408 | + | 7.67288i | 0.178585 | + | 0.391046i | ||||
\(386\) | −17.7636 | + | 5.21586i | −0.904142 | + | 0.265480i | ||||
\(387\) | −0.673701 | + | 1.47520i | −0.0342462 | + | 0.0749886i | ||||
\(388\) | 2.11775 | − | 14.7293i | 0.107513 | − | 0.747766i | ||||
\(389\) | 0.713503 | − | 0.458540i | 0.0361760 | − | 0.0232489i | −0.522428 | − | 0.852684i | \(-0.674974\pi\) |
0.558604 | + | 0.829435i | \(0.311337\pi\) | |||||||
\(390\) | 0.658147 | 0.0333266 | ||||||||
\(391\) | 0.649221 | − | 0.158458i | 0.0328325 | − | 0.00801355i | ||||
\(392\) | −0.418821 | −0.0211536 | ||||||||
\(393\) | 2.36307 | − | 1.51865i | 0.119201 | − | 0.0766060i | ||||
\(394\) | −0.812496 | + | 5.65103i | −0.0409329 | + | 0.284695i | ||||
\(395\) | 5.01052 | − | 10.9715i | 0.252107 | − | 0.552037i | ||||
\(396\) | 3.15488 | − | 0.926355i | 0.158539 | − | 0.0465511i | ||||
\(397\) | −5.52943 | − | 12.1078i | −0.277514 | − | 0.607671i | 0.718631 | − | 0.695392i | \(-0.244769\pi\) |
−0.996145 | + | 0.0877205i | \(0.972042\pi\) | |||||||
\(398\) | 0.892805 | + | 1.03035i | 0.0447523 | + | 0.0516469i | ||||
\(399\) | 1.01551 | + | 7.06304i | 0.0508392 | + | 0.353594i | ||||
\(400\) | −0.959493 | − | 0.281733i | −0.0479746 | − | 0.0140866i | ||||
\(401\) | −7.26629 | + | 8.38574i | −0.362861 | + | 0.418764i | −0.907596 | − | 0.419844i | \(-0.862085\pi\) |
0.544735 | + | 0.838608i | \(0.316630\pi\) | |||||||
\(402\) | −9.14743 | − | 5.87870i | −0.456232 | − | 0.293203i | ||||
\(403\) | −0.427401 | − | 0.274674i | −0.0212904 | − | 0.0136825i | ||||
\(404\) | −0.275679 | + | 0.318151i | −0.0137155 | + | 0.0158286i | ||||
\(405\) | 0.959493 | + | 0.281733i | 0.0476776 | + | 0.0139994i | ||||
\(406\) | −1.66775 | − | 11.5994i | −0.0827689 | − | 0.575670i | ||||
\(407\) | −8.88158 | − | 10.2499i | −0.440244 | − | 0.508068i | ||||
\(408\) | −0.0578863 | − | 0.126753i | −0.00286580 | − | 0.00627522i | ||||
\(409\) | −29.1602 | + | 8.56220i | −1.44188 | + | 0.423374i | −0.906848 | − | 0.421459i | \(-0.861518\pi\) |
−0.535031 | + | 0.844833i | \(0.679700\pi\) | |||||||
\(410\) | −0.546160 | + | 1.19592i | −0.0269729 | + | 0.0590624i | ||||
\(411\) | 1.58054 | − | 10.9929i | 0.0779622 | − | 0.542239i | ||||
\(412\) | −9.44613 | + | 6.07066i | −0.465377 | + | 0.299080i | ||||
\(413\) | 10.2613 | 0.504924 | ||||||||
\(414\) | 0.462526 | + | 4.77348i | 0.0227319 | + | 0.234604i | ||||
\(415\) | −1.32358 | −0.0649721 | ||||||||
\(416\) | 0.553668 | − | 0.355821i | 0.0271458 | − | 0.0174456i | ||||
\(417\) | 2.18713 | − | 15.2119i | 0.107104 | − | 0.744928i | ||||
\(418\) | −3.79932 | + | 8.31935i | −0.185831 | + | 0.406912i | ||||
\(419\) | 29.6334 | − | 8.70115i | 1.44769 | − | 0.425079i | 0.538910 | − | 0.842364i | \(-0.318836\pi\) |
0.908776 | + | 0.417285i | \(0.137018\pi\) | |||||||
\(420\) | 1.06570 | + | 2.33355i | 0.0520007 | + | 0.113866i | ||||
\(421\) | −19.3701 | − | 22.3543i | −0.944040 | − | 1.08948i | −0.995867 | − | 0.0908245i | \(-0.971050\pi\) |
0.0518266 | − | 0.998656i | \(-0.483496\pi\) | |||||||
\(422\) | 1.54908 | + | 10.7741i | 0.0754080 | + | 0.524474i | ||||
\(423\) | −11.0348 | − | 3.24012i | −0.536532 | − | 0.157540i | ||||
\(424\) | −1.71849 | + | 1.98324i | −0.0834573 | + | 0.0963149i | ||||
\(425\) | 0.117225 | + | 0.0753360i | 0.00568625 | + | 0.00365433i | ||||
\(426\) | 9.47019 | + | 6.08612i | 0.458832 | + | 0.294874i | ||||
\(427\) | −1.01405 | + | 1.17027i | −0.0490732 | + | 0.0566335i | ||||
\(428\) | 11.1449 | + | 3.27245i | 0.538711 | + | 0.158180i | ||||
\(429\) | −0.307974 | − | 2.14200i | −0.0148691 | − | 0.103417i | ||||
\(430\) | −1.06202 | − | 1.22564i | −0.0512153 | − | 0.0591056i | ||||
\(431\) | −2.42149 | − | 5.30232i | −0.116639 | − | 0.255404i | 0.842304 | − | 0.539003i | \(-0.181199\pi\) |
−0.958943 | + | 0.283599i | \(0.908472\pi\) | |||||||
\(432\) | 0.959493 | − | 0.281733i | 0.0461636 | − | 0.0135549i | ||||
\(433\) | −12.0537 | + | 26.3940i | −0.579266 | + | 1.26842i | 0.362449 | + | 0.932004i | \(0.381941\pi\) |
−0.941715 | + | 0.336412i | \(0.890786\pi\) | |||||||
\(434\) | 0.281830 | − | 1.96017i | 0.0135283 | − | 0.0940913i | ||||
\(435\) | 3.84286 | − | 2.46966i | 0.184251 | − | 0.118411i | ||||
\(436\) | 5.05327 | 0.242008 | ||||||||
\(437\) | −10.8770 | − | 7.72265i | −0.520317 | − | 0.369424i | ||||
\(438\) | 2.38093 | 0.113765 | ||||||||
\(439\) | −8.81073 | + | 5.66231i | −0.420513 | + | 0.270247i | −0.733739 | − | 0.679431i | \(-0.762227\pi\) |
0.313226 | + | 0.949679i | \(0.398590\pi\) | |||||||
\(440\) | −0.467941 | + | 3.25460i | −0.0223082 | + | 0.155157i | ||||
\(441\) | −0.173984 | + | 0.380973i | −0.00828497 | + | 0.0181415i | ||||
\(442\) | −0.0879950 | + | 0.0258377i | −0.00418550 | + | 0.00122897i | ||||
\(443\) | 13.1399 | + | 28.7724i | 0.624296 | + | 1.36702i | 0.912353 | + | 0.409404i | \(0.134263\pi\) |
−0.288057 | + | 0.957613i | \(0.593009\pi\) | |||||||
\(444\) | −2.70116 | − | 3.11730i | −0.128191 | − | 0.147941i | ||||
\(445\) | 2.22071 | + | 15.4454i | 0.105272 | + | 0.732182i | ||||
\(446\) | 0.893101 | + | 0.262238i | 0.0422896 | + | 0.0124173i | ||||
\(447\) | 5.78359 | − | 6.67462i | 0.273554 | − | 0.315699i | ||||
\(448\) | 2.15814 | + | 1.38695i | 0.101962 | + | 0.0655272i | ||||
\(449\) | 15.4097 | + | 9.90322i | 0.727229 | + | 0.467362i | 0.851145 | − | 0.524931i | \(-0.175909\pi\) |
−0.123916 | + | 0.992293i | \(0.539545\pi\) | |||||||
\(450\) | −0.654861 | + | 0.755750i | −0.0308704 | + | 0.0356264i | ||||
\(451\) | 4.14782 | + | 1.21791i | 0.195313 | + | 0.0573491i | ||||
\(452\) | −0.779007 | − | 5.41811i | −0.0366414 | − | 0.254847i | ||||
\(453\) | −0.727083 | − | 0.839099i | −0.0341614 | − | 0.0394243i | ||||
\(454\) | −6.33975 | − | 13.8821i | −0.297539 | − | 0.651520i | ||||
\(455\) | 1.62001 | − | 0.475676i | 0.0759470 | − | 0.0223001i | ||||
\(456\) | −1.15549 | + | 2.53016i | −0.0541106 | + | 0.118486i | ||||
\(457\) | 2.23260 | − | 15.5281i | 0.104437 | − | 0.726373i | −0.868565 | − | 0.495575i | \(-0.834957\pi\) |
0.973002 | − | 0.230798i | \(-0.0741336\pi\) | |||||||
\(458\) | −0.291494 | + | 0.187332i | −0.0136206 | + | 0.00875343i | ||||
\(459\) | −0.139346 | −0.00650410 | ||||||||
\(460\) | −4.53425 | − | 1.56225i | −0.211410 | − | 0.0728401i | ||||
\(461\) | 38.0734 | 1.77325 | 0.886627 | − | 0.462486i | \(-0.153042\pi\) | ||||
0.886627 | + | 0.462486i | \(0.153042\pi\) | |||||||
\(462\) | 7.09609 | − | 4.56038i | 0.330140 | − | 0.212168i | ||||
\(463\) | −3.13262 | + | 21.7879i | −0.145585 | + | 1.01257i | 0.777750 | + | 0.628573i | \(0.216361\pi\) |
−0.923336 | + | 0.383994i | \(0.874548\pi\) | |||||||
\(464\) | 1.89762 | − | 4.15522i | 0.0880950 | − | 0.192901i | ||||
\(465\) | 0.740675 | − | 0.217482i | 0.0343480 | − | 0.0100855i | ||||
\(466\) | 7.28138 | + | 15.9440i | 0.337303 | + | 0.738591i | ||||
\(467\) | −21.8409 | − | 25.2058i | −1.01068 | − | 1.16638i | −0.986010 | − | 0.166689i | \(-0.946693\pi\) |
−0.0246681 | − | 0.999696i | \(-0.507853\pi\) | |||||||
\(468\) | −0.0936640 | − | 0.651448i | −0.00432962 | − | 0.0301132i | ||||
\(469\) | −26.7649 | − | 7.85889i | −1.23589 | − | 0.362890i | ||||
\(470\) | 7.53135 | − | 8.69164i | 0.347395 | − | 0.400915i | ||||
\(471\) | −6.22280 | − | 3.99915i | −0.286731 | − | 0.184271i | ||||
\(472\) | 3.36493 | + | 2.16251i | 0.154883 | + | 0.0995376i | ||||
\(473\) | −3.49200 | + | 4.02999i | −0.160563 | + | 0.185299i | ||||
\(474\) | −11.5729 | − | 3.39811i | −0.531561 | − | 0.156080i | ||||
\(475\) | −0.395852 | − | 2.75321i | −0.0181629 | − | 0.126326i | ||||
\(476\) | −0.234096 | − | 0.270161i | −0.0107298 | − | 0.0123828i | ||||
\(477\) | 1.09014 | + | 2.38706i | 0.0499139 | + | 0.109296i | ||||
\(478\) | −19.3808 | + | 5.69073i | −0.886459 | + | 0.260288i | ||||
\(479\) | 13.2434 | − | 28.9989i | 0.605104 | − | 1.32499i | −0.320768 | − | 0.947158i | \(-0.603941\pi\) |
0.925873 | − | 0.377836i | \(-0.123332\pi\) | |||||||
\(480\) | −0.142315 | + | 0.989821i | −0.00649575 | + | 0.0451790i | ||||
\(481\) | −2.28376 | + | 1.46768i | −0.104130 | + | 0.0669206i | ||||
\(482\) | −18.6108 | −0.847698 | ||||||||
\(483\) | 4.58853 | + | 11.4155i | 0.208785 | + | 0.519421i | ||||
\(484\) | −0.188621 | −0.00857369 | ||||||||
\(485\) | 12.5185 | − | 8.04514i | 0.568435 | − | 0.365311i | ||||
\(486\) | 0.142315 | − | 0.989821i | 0.00645553 | − | 0.0448992i | ||||
\(487\) | 11.9638 | − | 26.1970i | 0.542131 | − | 1.18710i | −0.418230 | − | 0.908341i | \(-0.637349\pi\) |
0.960361 | − | 0.278760i | \(-0.0899235\pi\) | |||||||
\(488\) | −0.579161 | + | 0.170057i | −0.0262174 | + | 0.00769813i | ||||
\(489\) | −7.75870 | − | 16.9892i | −0.350860 | − | 0.768277i | ||||
\(490\) | −0.274269 | − | 0.316523i | −0.0123902 | − | 0.0142991i | ||||
\(491\) | 3.78950 | + | 26.3566i | 0.171018 | + | 1.18946i | 0.876739 | + | 0.480966i | \(0.159714\pi\) |
−0.705721 | + | 0.708490i | \(0.749377\pi\) | |||||||
\(492\) | 1.26148 | + | 0.370403i | 0.0568718 | + | 0.0166991i | ||||
\(493\) | −0.416841 | + | 0.481060i | −0.0187736 | + | 0.0216659i | ||||
\(494\) | 1.54004 | + | 0.989725i | 0.0692898 | + | 0.0445298i | ||||
\(495\) | 2.76610 | + | 1.77766i | 0.124327 | + | 0.0799000i | ||||
\(496\) | 0.505516 | − | 0.583396i | 0.0226983 | − | 0.0261953i | ||||
\(497\) | 27.7093 | + | 8.13618i | 1.24293 | + | 0.364958i | ||||
\(498\) | 0.188365 | + | 1.31011i | 0.00844086 | + | 0.0587074i | ||||
\(499\) | 6.01384 | + | 6.94034i | 0.269216 | + | 0.310692i | 0.874220 | − | 0.485531i | \(-0.161374\pi\) |
−0.605003 | + | 0.796223i | \(0.706828\pi\) | |||||||
\(500\) | −0.415415 | − | 0.909632i | −0.0185779 | − | 0.0406800i | ||||
\(501\) | 16.2470 | − | 4.77054i | 0.725860 | − | 0.213132i | ||||
\(502\) | −4.42250 | + | 9.68393i | −0.197386 | + | 0.432215i | ||||
\(503\) | 6.24106 | − | 43.4075i | 0.278275 | − | 1.93545i | −0.0688497 | − | 0.997627i | \(-0.521933\pi\) |
0.347125 | − | 0.937819i | \(-0.387158\pi\) | |||||||
\(504\) | 2.15814 | − | 1.38695i | 0.0961310 | − | 0.0617796i | ||||
\(505\) | −0.420973 | −0.0187331 | ||||||||
\(506\) | −2.96272 | + | 15.4882i | −0.131709 | + | 0.688534i | ||||
\(507\) | 12.5668 | 0.558113 | ||||||||
\(508\) | 9.15551 | − | 5.88389i | 0.406210 | − | 0.261055i | ||||
\(509\) | 0.910556 | − | 6.33306i | 0.0403597 | − | 0.280708i | −0.959640 | − | 0.281231i | \(-0.909257\pi\) |
1.00000 | 0.000522904i | \(0.000166445\pi\) | ||||||||
\(510\) | 0.0578863 | − | 0.126753i | 0.00256325 | − | 0.00561273i | ||||
\(511\) | 5.86056 | − | 1.72082i | 0.259256 | − | 0.0761245i | ||||
\(512\) | 0.415415 | + | 0.909632i | 0.0183589 | + | 0.0402004i | ||||
\(513\) | 1.82151 | + | 2.10214i | 0.0804217 | + | 0.0928116i | ||||
\(514\) | 3.52621 | + | 24.5253i | 0.155534 | + | 1.08177i | ||||
\(515\) | −10.7738 | − | 3.16347i | −0.474750 | − | 0.139399i | ||||
\(516\) | −1.06202 | + | 1.22564i | −0.0467530 | + | 0.0539558i | ||||
\(517\) | −31.8120 | − | 20.4443i | −1.39909 | − | 0.899141i | ||||
\(518\) | −8.90183 | − | 5.72086i | −0.391124 | − | 0.251360i | ||||
\(519\) | 0.979608 | − | 1.13053i | 0.0430000 | − | 0.0496247i | ||||
\(520\) | 0.631487 | + | 0.185421i | 0.0276925 | + | 0.00813126i | ||||
\(521\) | 3.27874 | + | 22.8041i | 0.143644 | + | 0.999066i | 0.926347 | + | 0.376671i | \(0.122931\pi\) |
−0.782703 | + | 0.622395i | \(0.786160\pi\) | |||||||
\(522\) | −2.99142 | − | 3.45228i | −0.130931 | − | 0.151102i | ||||
\(523\) | 5.85864 | + | 12.8286i | 0.256180 | + | 0.560957i | 0.993401 | − | 0.114696i | \(-0.0365893\pi\) |
−0.737220 | + | 0.675652i | \(0.763862\pi\) | |||||||
\(524\) | 2.69520 | − | 0.791384i | 0.117741 | − | 0.0345717i | ||||
\(525\) | −1.06570 | + | 2.33355i | −0.0465109 | + | 0.101845i | ||||
\(526\) | 2.44779 | − | 17.0248i | 0.106729 | − | 0.742316i | ||||
\(527\) | −0.0904912 | + | 0.0581552i | −0.00394186 | + | 0.00253328i | ||||
\(528\) | 3.28807 | 0.143095 | ||||||||
\(529\) | −21.3762 | − | 8.48869i | −0.929400 | − | 0.369073i | ||||
\(530\) | −2.62421 | −0.113988 | ||||||||
\(531\) | 3.36493 | − | 2.16251i | 0.146026 | − | 0.0938449i | ||||
\(532\) | −1.01551 | + | 7.06304i | −0.0440280 | + | 0.306222i | ||||
\(533\) | 0.359453 | − | 0.787093i | 0.0155696 | − | 0.0340928i | ||||
\(534\) | 14.9721 | − | 4.39622i | 0.647908 | − | 0.190243i | ||||
\(535\) | 4.82523 | + | 10.5658i | 0.208613 | + | 0.456799i | ||||
\(536\) | −7.12067 | − | 8.21770i | −0.307566 | − | 0.354950i | ||||
\(537\) | 3.19525 | + | 22.2235i | 0.137885 | + | 0.959014i | ||||
\(538\) | −2.32933 | − | 0.683954i | −0.100425 | − | 0.0294873i | ||||
\(539\) | −0.901815 | + | 1.04075i | −0.0388439 | + | 0.0448283i | ||||
\(540\) | 0.841254 | + | 0.540641i | 0.0362018 | + | 0.0232655i | ||||
\(541\) | 24.2279 | + | 15.5703i | 1.04164 | + | 0.669421i | 0.945392 | − | 0.325937i | \(-0.105680\pi\) |
0.0962474 | + | 0.995357i | \(0.469316\pi\) | |||||||
\(542\) | 1.52876 | − | 1.76429i | 0.0656660 | − | 0.0757827i | ||||
\(543\) | −8.73316 | − | 2.56429i | −0.374776 | − | 0.110044i | ||||
\(544\) | −0.0198310 | − | 0.137927i | −0.000850246 | − | 0.00591359i | ||||
\(545\) | 3.30919 | + | 3.81901i | 0.141750 | + | 0.163588i | ||||
\(546\) | −0.701386 | − | 1.53582i | −0.0300165 | − | 0.0657270i | ||||
\(547\) | −2.21009 | + | 0.648942i | −0.0944967 | + | 0.0277467i | −0.328639 | − | 0.944456i | \(-0.606590\pi\) |
0.234142 | + | 0.972202i | \(0.424772\pi\) | |||||||
\(548\) | 4.61357 | − | 10.1023i | 0.197082 | − | 0.431549i | ||||
\(549\) | −0.0859029 | + | 0.597468i | −0.00366625 | + | 0.0254993i | ||||
\(550\) | −2.76610 | + | 1.77766i | −0.117947 | + | 0.0757998i | ||||
\(551\) | 12.7061 | 0.541297 | ||||||||
\(552\) | −0.901053 | + | 4.71042i | −0.0383514 | + | 0.200489i | ||||
\(553\) | −30.9423 | −1.31580 | ||||||||
\(554\) | −7.21742 | + | 4.63835i | −0.306639 | + | 0.197065i | ||||
\(555\) | 0.587017 | − | 4.08279i | 0.0249175 | − | 0.173305i | ||||
\(556\) | 6.38422 | − | 13.9795i | 0.270751 | − | 0.592862i | ||||
\(557\) | −9.28734 | + | 2.72701i | −0.393517 | + | 0.115547i | −0.472504 | − | 0.881329i | \(-0.656650\pi\) |
0.0789866 | + | 0.996876i | \(0.474832\pi\) | |||||||
\(558\) | −0.320677 | − | 0.702185i | −0.0135753 | − | 0.0297259i | ||||
\(559\) | 0.698967 | + | 0.806651i | 0.0295632 | + | 0.0341177i | ||||
\(560\) | 0.365092 | + | 2.53927i | 0.0154279 | + | 0.107304i | ||||
\(561\) | −0.439619 | − | 0.129084i | −0.0185607 | − | 0.00544992i | ||||
\(562\) | −10.6823 | + | 12.3281i | −0.450607 | + | 0.520028i | ||||
\(563\) | 26.3899 | + | 16.9598i | 1.11220 | + | 0.714770i | 0.961772 | − | 0.273851i | \(-0.0882975\pi\) |
0.150431 | + | 0.988620i | \(0.451934\pi\) | |||||||
\(564\) | −9.67499 | − | 6.21774i | −0.407391 | − | 0.261814i | ||||
\(565\) | 3.58460 | − | 4.13684i | 0.150805 | − | 0.174038i | ||||
\(566\) | 5.54627 | + | 1.62853i | 0.233127 | + | 0.0684523i | ||||
\(567\) | −0.365092 | − | 2.53927i | −0.0153324 | − | 0.106639i | ||||
\(568\) | 7.37192 | + | 8.50765i | 0.309319 | + | 0.356973i | ||||
\(569\) | 9.94283 | + | 21.7718i | 0.416825 | + | 0.912720i | 0.995284 | + | 0.0970080i | \(0.0309272\pi\) |
−0.578458 | + | 0.815712i | \(0.696345\pi\) | |||||||
\(570\) | −2.66885 | + | 0.783646i | −0.111786 | + | 0.0328233i | ||||
\(571\) | −12.4050 | + | 27.1632i | −0.519134 | + | 1.13674i | 0.450633 | + | 0.892710i | \(0.351198\pi\) |
−0.969766 | + | 0.244035i | \(0.921529\pi\) | |||||||
\(572\) | 0.307974 | − | 2.14200i | 0.0128770 | − | 0.0895617i | ||||
\(573\) | −17.7456 | + | 11.4044i | −0.741334 | + | 0.476426i | ||||
\(574\) | 3.37279 | 0.140778 | ||||||||
\(575\) | −1.78863 | − | 4.44981i | −0.0745912 | − | 0.185570i | ||||
\(576\) | 1.00000 | 0.0416667 | ||||||||
\(577\) | 32.6014 | − | 20.9516i | 1.35721 | − | 0.872228i | 0.359081 | − | 0.933306i | \(-0.383090\pi\) |
0.998133 | + | 0.0610779i | \(0.0194538\pi\) | |||||||
\(578\) | 2.41659 | − | 16.8077i | 0.100517 | − | 0.699110i | ||||
\(579\) | −7.69079 | + | 16.8405i | −0.319618 | + | 0.699866i | ||||
\(580\) | 4.38298 | − | 1.28696i | 0.181994 | − | 0.0534381i | ||||
\(581\) | 1.41054 | + | 3.08865i | 0.0585190 | + | 0.128139i | ||||
\(582\) | −9.74482 | − | 11.2461i | −0.403936 | − | 0.466167i | ||||
\(583\) | 1.22797 | + | 8.54075i | 0.0508575 | + | 0.353722i | ||||
\(584\) | 2.28448 | + | 0.670784i | 0.0945325 | + | 0.0277572i | ||||
\(585\) | 0.430994 | − | 0.497394i | 0.0178194 | − | 0.0205647i | ||||
\(586\) | 10.6115 | + | 6.81961i | 0.438358 | + | 0.281716i | ||||
\(587\) | 29.7189 | + | 19.0992i | 1.22663 | + | 0.788309i | 0.983363 | − | 0.181650i | \(-0.0581439\pi\) |
0.243269 | + | 0.969959i | \(0.421780\pi\) | |||||||
\(588\) | −0.274269 | + | 0.316523i | −0.0113107 | + | 0.0130532i | ||||
\(589\) | 2.06021 | + | 0.604931i | 0.0848893 | + | 0.0249257i | ||||
\(590\) | 0.569245 | + | 3.95919i | 0.0234355 | + | 0.162997i | ||||
\(591\) | 3.73869 | + | 4.31468i | 0.153789 | + | 0.177482i | ||||
\(592\) | −1.71350 | − | 3.75203i | −0.0704242 | − | 0.154208i | ||||
\(593\) | −8.96521 | + | 2.63242i | −0.368157 | + | 0.108101i | −0.460578 | − | 0.887619i | \(-0.652358\pi\) |
0.0924206 | + | 0.995720i | \(0.470540\pi\) | |||||||
\(594\) | 1.36591 | − | 2.99093i | 0.0560440 | − | 0.122719i | ||||
\(595\) | 0.0508740 | − | 0.353836i | 0.00208563 | − | 0.0145059i | ||||
\(596\) | 7.42977 | − | 4.77482i | 0.304335 | − | 0.195584i | ||||
\(597\) | 1.36335 | 0.0557982 | ||||||||
\(598\) | 2.98420 | + | 1.02819i | 0.122033 | + | 0.0420457i | ||||
\(599\) | −24.0451 | −0.982456 | −0.491228 | − | 0.871031i | \(-0.663452\pi\) | ||||
−0.491228 | + | 0.871031i | \(0.663452\pi\) | |||||||
\(600\) | −0.841254 | + | 0.540641i | −0.0343440 | + | 0.0220716i | ||||
\(601\) | 2.19092 | − | 15.2382i | 0.0893696 | − | 0.621579i | −0.895079 | − | 0.445907i | \(-0.852881\pi\) |
0.984449 | − | 0.175672i | \(-0.0562098\pi\) | |||||||
\(602\) | −1.72830 | + | 3.78445i | −0.0704403 | + | 0.154243i | ||||
\(603\) | −10.4331 | + | 3.06344i | −0.424869 | + | 0.124753i | ||||
\(604\) | −0.461230 | − | 1.00995i | −0.0187672 | − | 0.0410944i | ||||
\(605\) | −0.123521 | − | 0.142550i | −0.00502182 | − | 0.00579549i | ||||
\(606\) | 0.0599108 | + | 0.416689i | 0.00243371 | + | 0.0169268i | ||||
\(607\) | −21.1201 | − | 6.20142i | −0.857239 | − | 0.251708i | −0.176560 | − | 0.984290i | \(-0.556497\pi\) |
−0.680679 | + | 0.732582i | \(0.738315\pi\) | |||||||
\(608\) | −1.82151 | + | 2.10214i | −0.0738720 | + | 0.0852529i | ||||
\(609\) | −9.85841 | − | 6.33562i | −0.399483 | − | 0.256732i | ||||
\(610\) | −0.507791 | − | 0.326337i | −0.0205598 | − | 0.0132130i | ||||
\(611\) | −4.95673 | + | 5.72037i | −0.200528 | + | 0.231422i | ||||
\(612\) | −0.133701 | − | 0.0392582i | −0.00540455 | − | 0.00158692i | ||||
\(613\) | 1.82578 | + | 12.6986i | 0.0737426 | + | 0.512891i | 0.992895 | + | 0.118990i | \(0.0379656\pi\) |
−0.919153 | + | 0.393901i | \(0.871125\pi\) | |||||||
\(614\) | 4.21644 | + | 4.86603i | 0.170162 | + | 0.196377i | ||||
\(615\) | 0.546160 | + | 1.19592i | 0.0220233 | + | 0.0482243i | ||||
\(616\) | 8.09346 | − | 2.37645i | 0.326095 | − | 0.0957501i | ||||
\(617\) | 5.65209 | − | 12.3764i | 0.227545 | − | 0.498253i | −0.761080 | − | 0.648658i | \(-0.775330\pi\) |
0.988624 | + | 0.150405i | \(0.0480577\pi\) | |||||||
\(618\) | −1.59800 | + | 11.1143i | −0.0642811 | + | 0.447085i | ||||
\(619\) | 12.2310 | − | 7.86037i | 0.491605 | − | 0.315935i | −0.271246 | − | 0.962510i | \(-0.587436\pi\) |
0.762850 | + | 0.646575i | \(0.223799\pi\) | |||||||
\(620\) | 0.771944 | 0.0310020 | ||||||||
\(621\) | 3.91044 | + | 2.77641i | 0.156921 | + | 0.111413i | ||||
\(622\) | −4.08625 | −0.163844 | ||||||||
\(623\) | 33.6760 | − | 21.6423i | 1.34920 | − | 0.867079i | ||||
\(624\) | 0.0936640 | − | 0.651448i | 0.00374956 | − | 0.0260788i | ||||
\(625\) | 0.415415 | − | 0.909632i | 0.0166166 | − | 0.0363853i | ||||
\(626\) | 5.61542 | − | 1.64884i | 0.224437 | − | 0.0659008i | ||||
\(627\) | 3.79932 | + | 8.31935i | 0.151730 | + | 0.332243i | ||||
\(628\) | −4.84404 | − | 5.59032i | −0.193298 | − | 0.223078i | ||||
\(629\) | 0.0817983 | + | 0.568920i | 0.00326151 | + | 0.0226843i | ||||
\(630\) | 2.46147 | + | 0.722751i | 0.0980671 | + | 0.0287951i | ||||
\(631\) | −19.7501 | + | 22.7929i | −0.786240 | + | 0.907369i | −0.997543 | − | 0.0700513i | \(-0.977684\pi\) |
0.211303 | + | 0.977421i | \(0.432229\pi\) | |||||||
\(632\) | −10.1468 | − | 6.52093i | −0.403617 | − | 0.259389i | ||||
\(633\) | 9.15694 | + | 5.88481i | 0.363956 | + | 0.233900i | ||||
\(634\) | −1.50353 | + | 1.73517i | −0.0597129 | + | 0.0689123i | ||||
\(635\) | 10.4423 | + | 3.06615i | 0.414391 | + | 0.121676i | ||||
\(636\) | 0.373464 | + | 2.59750i | 0.0148088 | + | 0.102998i | ||||
\(637\) | 0.180509 | + | 0.208319i | 0.00715204 | + | 0.00825389i | ||||
\(638\) | −6.23952 | − | 13.6626i | −0.247025 | − | 0.540909i | ||||
\(639\) | 10.8012 | − | 3.17153i | 0.427290 | − | 0.125464i | ||||
\(640\) | −0.415415 | + | 0.909632i | −0.0164207 | + | 0.0359564i | ||||
\(641\) | 1.44690 | − | 10.0634i | 0.0571493 | − | 0.397482i | −0.941090 | − | 0.338158i | \(-0.890196\pi\) |
0.998239 | − | 0.0593243i | \(-0.0188946\pi\) | |||||||
\(642\) | 9.77154 | − | 6.27979i | 0.385652 | − | 0.247843i | ||||
\(643\) | 13.9998 | 0.552099 | 0.276050 | − | 0.961143i | \(-0.410975\pi\) | ||||
0.276050 | + | 0.961143i | \(0.410975\pi\) | |||||||
\(644\) | 1.18656 | + | 12.2458i | 0.0467568 | + | 0.482551i | ||||
\(645\) | −1.62176 | −0.0638565 | ||||||||
\(646\) | 0.326064 | − | 0.209549i | 0.0128288 | − | 0.00824459i | ||||
\(647\) | −0.228368 | + | 1.58833i | −0.00897805 | + | 0.0624437i | −0.993818 | − | 0.111022i | \(-0.964588\pi\) |
0.984840 | + | 0.173466i | \(0.0554966\pi\) | |||||||
\(648\) | 0.415415 | − | 0.909632i | 0.0163190 | − | 0.0357337i | ||||
\(649\) | 12.6192 | − | 3.70533i | 0.495347 | − | 0.145447i | ||||
\(650\) | 0.273404 | + | 0.598671i | 0.0107238 | + | 0.0234818i | ||||
\(651\) | −1.29684 | − | 1.49663i | −0.0508272 | − | 0.0586577i | ||||
\(652\) | −2.65801 | − | 18.4869i | −0.104096 | − | 0.724002i | ||||
\(653\) | 22.2252 | + | 6.52590i | 0.869738 | + | 0.255378i | 0.686004 | − | 0.727598i | \(-0.259363\pi\) |
0.183734 | + | 0.982976i | \(0.441181\pi\) | |||||||
\(654\) | 3.30919 | − | 3.81901i | 0.129400 | − | 0.149335i | ||||
\(655\) | 2.36307 | + | 1.51865i | 0.0923328 | + | 0.0593387i | ||||
\(656\) | 1.10602 | + | 0.710798i | 0.0431830 | + | 0.0277520i | ||||
\(657\) | 1.55917 | − | 1.79938i | 0.0608292 | − | 0.0702006i | ||||
\(658\) | −28.3085 | − | 8.31214i | −1.10358 | − | 0.324041i | ||||
\(659\) | 6.81339 | + | 47.3882i | 0.265412 | + | 1.84598i | 0.490246 | + | 0.871584i | \(0.336907\pi\) |
−0.224834 | + | 0.974397i | \(0.572184\pi\) | |||||||
\(660\) | 2.15323 | + | 2.48495i | 0.0838142 | + | 0.0967267i | ||||
\(661\) | 14.9909 | + | 32.8255i | 0.583079 | + | 1.27677i | 0.939535 | + | 0.342453i | \(0.111258\pi\) |
−0.356455 | + | 0.934312i | \(0.616015\pi\) | |||||||
\(662\) | −20.9406 | + | 6.14871i | −0.813879 | + | 0.238977i | ||||
\(663\) | −0.0380977 | + | 0.0834223i | −0.00147959 | + | 0.00323985i | ||||
\(664\) | −0.188365 | + | 1.31011i | −0.00731000 | + | 0.0508421i | ||||
\(665\) | −6.00291 | + | 3.85783i | −0.232783 | + | 0.149600i | ||||
\(666\) | −4.12478 | −0.159832 | ||||||||
\(667\) | 21.2827 | − | 5.19455i | 0.824070 | − | 0.201134i | ||||
\(668\) | 16.9329 | 0.655152 | ||||||||
\(669\) | 0.783043 | − | 0.503231i | 0.0302742 | − | 0.0194560i | ||||
\(670\) | 1.54747 | − | 10.7629i | 0.0597840 | − | 0.415807i | ||||
\(671\) | −0.824481 | + | 1.80536i | −0.0318287 | + | 0.0696952i | ||||
\(672\) | 2.46147 | − | 0.722751i | 0.0949531 | − | 0.0278807i | ||||
\(673\) | 13.9247 | + | 30.4907i | 0.536756 | + | 1.17533i | 0.962697 | + | 0.270581i | \(0.0872158\pi\) |
−0.425941 | + | 0.904751i | \(0.640057\pi\) | |||||||
\(674\) | 10.3791 | + | 11.9782i | 0.399790 | + | 0.461382i | ||||
\(675\) | 0.142315 | + | 0.989821i | 0.00547770 | + | 0.0380982i | ||||
\(676\) | 12.0578 | + | 3.54049i | 0.463761 | + | 0.136173i | ||||
\(677\) | 12.6463 | − | 14.5946i | 0.486037 | − | 0.560917i | −0.458765 | − | 0.888558i | \(-0.651708\pi\) |
0.944802 | + | 0.327641i | \(0.106253\pi\) | |||||||
\(678\) | −4.60488 | − | 2.95938i | −0.176849 | − | 0.113654i | ||||
\(679\) | −32.1147 | − | 20.6388i | −1.23245 | − | 0.792046i | ||||
\(680\) | 0.0912520 | − | 0.105310i | 0.00349936 | − | 0.00403847i | ||||
\(681\) | −14.6431 | − | 4.29959i | −0.561123 | − | 0.164761i | ||||
\(682\) | −0.361224 | − | 2.51237i | −0.0138320 | − | 0.0962035i | ||||
\(683\) | −19.8696 | − | 22.9307i | −0.760288 | − | 0.877420i | 0.235235 | − | 0.971939i | \(-0.424414\pi\) |
−0.995523 | + | 0.0945190i | \(0.969869\pi\) | |||||||
\(684\) | 1.15549 | + | 2.53016i | 0.0441812 | + | 0.0967432i | ||||
\(685\) | 10.6561 | − | 3.12890i | 0.407147 | − | 0.119549i | ||||
\(686\) | −7.90622 | + | 17.3122i | −0.301861 | + | 0.660983i | ||||
\(687\) | −0.0493120 | + | 0.342972i | −0.00188137 | + | 0.0130852i | ||||
\(688\) | −1.36431 | + | 0.876787i | −0.0520137 | + | 0.0334272i | ||||
\(689\) | 1.72711 | 0.0657978 | ||||||||
\(690\) | −4.14997 | + | 2.40370i | −0.157987 | + | 0.0915074i | ||||
\(691\) | 51.4730 | 1.95812 | 0.979062 | − | 0.203564i | \(-0.0652525\pi\) | ||||
0.979062 | + | 0.203564i | \(0.0652525\pi\) | |||||||
\(692\) | 1.25843 | − | 0.808746i | 0.0478385 | − | 0.0307439i | ||||
\(693\) | 1.20045 | − | 8.34928i | 0.0456012 | − | 0.317163i | ||||
\(694\) | −0.711653 | + | 1.55830i | −0.0270140 | + | 0.0591524i | ||||
\(695\) | 14.7458 | − | 4.32975i | 0.559339 | − | 0.164237i | ||||
\(696\) | −1.89762 | − | 4.15522i | −0.0719293 | − | 0.157503i | ||||
\(697\) | −0.119972 | − | 0.138455i | −0.00454427 | − | 0.00524436i | ||||
\(698\) | −0.458276 | − | 3.18738i | −0.0173460 | − | 0.120644i | ||||
\(699\) | 16.8180 | + | 4.93820i | 0.636113 | + | 0.186780i | ||||
\(700\) | −1.67997 | + | 1.93879i | −0.0634968 | + | 0.0732792i | ||||
\(701\) | 20.4750 | + | 13.1585i | 0.773331 | + | 0.496990i | 0.866814 | − | 0.498631i | \(-0.166164\pi\) |
−0.0934834 | + | 0.995621i | \(0.529800\pi\) | |||||||
\(702\) | −0.553668 | − | 0.355821i | −0.0208969 | − | 0.0134296i | ||||
\(703\) | 7.51333 | − | 8.67085i | 0.283371 | − | 0.327027i | ||||
\(704\) | 3.15488 | + | 0.926355i | 0.118904 | + | 0.0349133i | ||||
\(705\) | −1.63672 | − | 11.3836i | −0.0616424 | − | 0.428732i | ||||
\(706\) | −13.7906 | − | 15.9152i | −0.519017 | − | 0.598977i | ||||
\(707\) | 0.448630 | + | 0.982364i | 0.0168725 | + | 0.0369456i | ||||
\(708\) | 3.83788 | − | 1.12690i | 0.144236 | − | 0.0423516i | ||||
\(709\) | −12.7779 | + | 27.9796i | −0.479883 | + | 1.05080i | 0.502613 | + | 0.864512i | \(0.332372\pi\) |
−0.982496 | + | 0.186286i | \(0.940355\pi\) | |||||||
\(710\) | −1.60207 | + | 11.1427i | −0.0601247 | + | 0.418176i | ||||
\(711\) | −10.1468 | + | 6.52093i | −0.380533 | + | 0.244554i | ||||
\(712\) | 15.6042 | 0.584793 | ||||||||
\(713\) | 3.69816 | + | 0.171000i | 0.138497 | + | 0.00640399i | ||||
\(714\) | −0.357475 | −0.0133782 | ||||||||
\(715\) | 1.82050 | − | 1.16996i | 0.0680828 | − | 0.0437541i | ||||
\(716\) | −3.19525 | + | 22.2235i | −0.119412 | + | 0.830530i | ||||
\(717\) | −8.39098 | + | 18.3737i | −0.313367 | + | 0.686178i | ||||
\(718\) | −16.0345 | + | 4.70816i | −0.598403 | + | 0.175707i | ||||
\(719\) | 15.5114 | + | 33.9652i | 0.578477 | + | 1.26669i | 0.942159 | + | 0.335166i | \(0.108792\pi\) |
−0.363682 | + | 0.931523i | \(0.618480\pi\) | |||||||
\(720\) | 0.654861 | + | 0.755750i | 0.0244052 | + | 0.0281651i | ||||
\(721\) | 4.09948 | + | 28.5125i | 0.152673 | + | 1.06186i | ||||
\(722\) | 10.8069 | + | 3.17319i | 0.402191 | + | 0.118094i | ||||
\(723\) | −12.1875 | + | 14.0651i | −0.453257 | + | 0.523086i | ||||
\(724\) | −7.65696 | − | 4.92083i | −0.284569 | − | 0.182881i | ||||
\(725\) | 3.84286 | + | 2.46966i | 0.142720 | + | 0.0917208i | ||||
\(726\) | −0.123521 | + | 0.142550i | −0.00458428 | + | 0.00529054i | ||||
\(727\) | −0.985740 | − | 0.289440i | −0.0365591 | − | 0.0107347i | 0.263402 | − | 0.964686i | \(-0.415155\pi\) |
−0.299961 | + | 0.953951i | \(0.596974\pi\) | |||||||
\(728\) | −0.240284 | − | 1.67121i | −0.00890552 | − | 0.0619392i | ||||
\(729\) | −0.654861 | − | 0.755750i | −0.0242541 | − | 0.0279907i | ||||
\(730\) | 0.989072 | + | 2.16577i | 0.0366072 | + | 0.0801586i | ||||
\(731\) | 0.216831 | − | 0.0636672i | 0.00801977 | − | 0.00235482i | ||||
\(732\) | −0.250749 | + | 0.549065i | −0.00926797 | + | 0.0202940i | ||||
\(733\) | 2.85882 | − | 19.8836i | 0.105593 | − | 0.734416i | −0.866391 | − | 0.499367i | \(-0.833566\pi\) |
0.971984 | − | 0.235049i | \(-0.0755250\pi\) | |||||||
\(734\) | 3.87760 | − | 2.49198i | 0.143125 | − | 0.0919806i | ||||
\(735\) | −0.418821 | −0.0154484 | ||||||||
\(736\) | −2.19163 | + | 4.26576i | −0.0807847 | + | 0.157238i | ||||
\(737\) | −35.7530 | −1.31698 | ||||||||
\(738\) | 1.10602 | − | 0.710798i | 0.0407133 | − | 0.0261648i | ||||
\(739\) | −4.65359 | + | 32.3664i | −0.171185 | + | 1.19062i | 0.705201 | + | 0.709008i | \(0.250857\pi\) |
−0.876386 | + | 0.481610i | \(0.840052\pi\) | |||||||
\(740\) | 1.71350 | − | 3.75203i | 0.0629893 | − | 0.137927i | ||||
\(741\) | 1.75650 | − | 0.515754i | 0.0645265 | − | 0.0189467i | ||||
\(742\) | 2.79661 | + | 6.12373i | 0.102667 | + | 0.224809i | ||||
\(743\) | −32.7565 | − | 37.8030i | −1.20172 | − | 1.38686i | −0.901383 | − | 0.433024i | \(-0.857447\pi\) |
−0.300336 | − | 0.953833i | \(-0.597099\pi\) | |||||||
\(744\) | −0.109859 | − | 0.764087i | −0.00402763 | − | 0.0280128i | ||||
\(745\) | 8.47404 | + | 2.48820i | 0.310465 | + | 0.0911607i | ||||
\(746\) | −14.1910 | + | 16.3772i | −0.519568 | + | 0.599613i | ||||
\(747\) | 1.11347 | + | 0.715583i | 0.0407397 | + | 0.0261818i | ||||
\(748\) | −0.385444 | − | 0.247710i | −0.0140932 | − | 0.00905716i | ||||
\(749\) | 19.5136 | − | 22.5199i | 0.713011 | − | 0.822858i | ||||
\(750\) | −0.959493 | − | 0.281733i | −0.0350357 | − | 0.0102874i | ||||
\(751\) | 2.21466 | + | 15.4033i | 0.0808142 | + | 0.562075i | 0.989493 | + | 0.144580i | \(0.0461830\pi\) |
−0.908679 | + | 0.417496i | \(0.862908\pi\) | |||||||
\(752\) | −7.53135 | − | 8.69164i | −0.274640 | − | 0.316951i | ||||
\(753\) | 4.42250 | + | 9.68393i | 0.161165 | + | 0.352902i | ||||
\(754\) | −2.88465 | + | 0.847009i | −0.105053 | + | 0.0308462i | ||||
\(755\) | 0.461230 | − | 1.00995i | 0.0167859 | − | 0.0367559i | ||||
\(756\) | 0.365092 | − | 2.53927i | 0.0132783 | − | 0.0923523i | ||||
\(757\) | 4.57289 | − | 2.93882i | 0.166205 | − | 0.106813i | −0.454894 | − | 0.890545i | \(-0.650323\pi\) |
0.621099 | + | 0.783732i | \(0.286687\pi\) | |||||||
\(758\) | −2.67961 | −0.0973278 | ||||||||
\(759\) | 9.76502 | + | 12.3817i | 0.354448 | + | 0.449427i | ||||
\(760\) | −2.78152 | −0.100896 | ||||||||
\(761\) | 8.55111 | − | 5.49547i | 0.309978 | − | 0.199210i | −0.376397 | − | 0.926458i | \(-0.622837\pi\) |
0.686375 | + | 0.727248i | \(0.259201\pi\) | |||||||
\(762\) | 1.54884 | − | 10.7724i | 0.0561085 | − | 0.390243i | ||||
\(763\) | 5.38526 | − | 11.7921i | 0.194960 | − | 0.426902i | ||||
\(764\) | −20.2398 | + | 5.94294i | −0.732250 | + | 0.215008i | ||||
\(765\) | −0.0578863 | − | 0.126753i | −0.00209288 | − | 0.00458278i | ||||
\(766\) | −12.8158 | − | 14.7902i | −0.463054 | − | 0.534393i | ||||
\(767\) | −0.374647 | − | 2.60573i | −0.0135277 | − | 0.0940873i | ||||
\(768\) | 0.959493 | + | 0.281733i | 0.0346227 | + | 0.0101661i | ||||
\(769\) | 17.5044 | − | 20.2012i | 0.631227 | − | 0.728474i | −0.346572 | − | 0.938024i | \(-0.612654\pi\) |
0.977798 | + | 0.209549i | \(0.0671997\pi\) | |||||||
\(770\) | 7.09609 | + | 4.56038i | 0.255725 | + | 0.164345i | ||||
\(771\) | 20.8442 | + | 13.3957i | 0.750685 | + | 0.482436i | ||||
\(772\) | −12.1238 | + | 13.9916i | −0.436344 | + | 0.503568i | ||||
\(773\) | 25.5782 | + | 7.51045i | 0.919986 | + | 0.270132i | 0.707238 | − | 0.706975i | \(-0.249941\pi\) |
0.212747 | + | 0.977107i | \(0.431759\pi\) | |||||||
\(774\) | 0.230800 | + | 1.60525i | 0.00829593 | + | 0.0576994i | ||||
\(775\) | 0.505516 | + | 0.583396i | 0.0181587 | + | 0.0209562i | ||||
\(776\) | −6.18168 | − | 13.5360i | −0.221910 | − | 0.485914i | ||||
\(777\) | −10.1530 | + | 2.98119i | −0.364237 | + | 0.106950i | ||||
\(778\) | 0.352331 | − | 0.771498i | 0.0126317 | − | 0.0276595i | ||||
\(779\) | −0.520440 | + | 3.61974i | −0.0186467 | + | 0.129691i | ||||
\(780\) | 0.553668 | − | 0.355821i | 0.0198245 | − | 0.0127404i | ||||
\(781\) | 37.0145 | 1.32448 | ||||||||
\(782\) | 0.460491 | − | 0.484298i | 0.0164671 | − | 0.0173185i | ||||
\(783\) | −4.56802 | −0.163248 | ||||||||
\(784\) | −0.352334 | + | 0.226431i | −0.0125834 | + | 0.00808684i | ||||
\(785\) | 1.05271 | − | 7.32177i | 0.0375729 | − | 0.261325i | ||||
\(786\) | 1.16690 | − | 2.55515i | 0.0416218 | − | 0.0911390i | ||||
\(787\) | −13.6593 | + | 4.01075i | −0.486903 | + | 0.142968i | −0.515965 | − | 0.856610i | \(-0.672566\pi\) |
0.0290613 | + | 0.999578i | \(0.490748\pi\) | |||||||
\(788\) | 2.37166 | + | 5.19322i | 0.0844870 | + | 0.185001i | ||||
\(789\) | −11.2635 | − | 12.9988i | −0.400991 | − | 0.462769i | ||||
\(790\) | −1.71653 | − | 11.9387i | −0.0610713 | − | 0.424760i | ||||
\(791\) | −13.4736 | − | 3.95622i | −0.479068 | − | 0.140667i | ||||
\(792\) | 2.15323 | − | 2.48495i | 0.0765115 | − | 0.0882990i | ||||
\(793\) | 0.334201 | + | 0.214778i | 0.0118678 | + | 0.00762698i | ||||
\(794\) | −11.1976 | − | 7.19626i | −0.397388 | − | 0.255386i | ||||
\(795\) | −1.71849 | + | 1.98324i | −0.0609486 | + | 0.0703384i | ||||
\(796\) | 1.30813 | + | 0.384100i | 0.0463653 | + | 0.0136141i | ||||
\(797\) | 3.86802 | + | 26.9027i | 0.137012 | + | 0.952941i | 0.936102 | + | 0.351729i | \(0.114406\pi\) |
−0.799090 | + | 0.601212i | \(0.794685\pi\) | |||||||
\(798\) | 4.67287 | + | 5.39278i | 0.165418 | + | 0.190902i | ||||
\(799\) | 0.665732 | + | 1.45775i | 0.0235519 | + | 0.0515715i | ||||
\(800\) | −0.959493 | + | 0.281733i | −0.0339232 | + | 0.00996075i | ||||
\(801\) | 6.48223 | − | 14.1941i | 0.229038 | − | 0.501524i | ||||
\(802\) | −1.57911 | + | 10.9830i | −0.0557605 | + | 0.387823i | ||||
\(803\) | 6.58587 | − | 4.23248i | 0.232410 | − | 0.149361i | ||||
\(804\) | −10.8736 | −0.383481 | ||||||||
\(805\) | −8.47772 | + | 8.91602i | −0.298800 | + | 0.314248i | ||||
\(806\) | −0.508052 | −0.0178954 | ||||||||
\(807\) | −2.04229 | + | 1.31250i | −0.0718919 | + | 0.0462021i | ||||
\(808\) | −0.0599108 | + | 0.416689i | −0.00210765 | + | 0.0146591i | ||||
\(809\) | 5.50077 | − | 12.0450i | 0.193397 | − | 0.423480i | −0.787947 | − | 0.615744i | \(-0.788856\pi\) |
0.981343 | + | 0.192264i | \(0.0615830\pi\) | |||||||
\(810\) | 0.959493 | − | 0.281733i | 0.0337131 | − | 0.00989907i | ||||
\(811\) | 10.9742 | + | 24.0302i | 0.385358 | + | 0.843816i | 0.998547 | + | 0.0538803i | \(0.0171589\pi\) |
−0.613189 | + | 0.789936i | \(0.710114\pi\) | |||||||
\(812\) | −7.67413 | − | 8.85641i | −0.269309 | − | 0.310799i | ||||
\(813\) | −0.332232 | − | 2.31073i | −0.0116519 | − | 0.0810407i | ||||
\(814\) | −13.0132 | − | 3.82101i | −0.456111 | − | 0.133926i | ||||
\(815\) | 12.2308 | − | 14.1151i | 0.428427 | − | 0.494431i | ||||
\(816\) | −0.117225 | − | 0.0753360i | −0.00410370 | − | 0.00263729i | ||||
\(817\) | −3.79485 | − | 2.43880i | −0.132765 | − | 0.0853230i | ||||
\(818\) | −19.9020 | + | 22.9682i | −0.695858 | + | 0.803063i | ||||
\(819\) | −1.62001 | − | 0.475676i | −0.0566076 | − | 0.0166215i | ||||
\(820\) | 0.187106 | + | 1.30135i | 0.00653402 | + | 0.0454451i | ||||
\(821\) | 19.6659 | + | 22.6956i | 0.686343 | + | 0.792082i | 0.986840 | − | 0.161700i | \(-0.0516978\pi\) |
−0.300497 | + | 0.953783i | \(0.597152\pi\) | |||||||
\(822\) | −4.61357 | − | 10.1023i | −0.160917 | − | 0.352358i | ||||
\(823\) | 46.9918 | − | 13.7980i | 1.63803 | − | 0.480970i | 0.672250 | − | 0.740324i | \(-0.265328\pi\) |
0.965782 | + | 0.259354i | \(0.0835098\pi\) | |||||||
\(824\) | −4.66454 | + | 10.2139i | −0.162497 | + | 0.355819i | ||||
\(825\) | −0.467941 | + | 3.25460i | −0.0162916 | + | 0.113311i | ||||
\(826\) | 8.63233 | − | 5.54766i | 0.300357 | − | 0.193028i | ||||
\(827\) | −31.8309 | −1.10687 | −0.553435 | − | 0.832893i | \(-0.686683\pi\) | ||||
−0.553435 | + | 0.832893i | \(0.686683\pi\) | |||||||
\(828\) | 2.96984 | + | 3.76564i | 0.103209 | + | 0.130865i | ||||
\(829\) | 15.3270 | 0.532328 | 0.266164 | − | 0.963928i | \(-0.414244\pi\) | ||||
0.266164 | + | 0.963928i | \(0.414244\pi\) | |||||||
\(830\) | −1.11347 | + | 0.715583i | −0.0386491 | + | 0.0248382i | ||||
\(831\) | −1.22097 | + | 8.49204i | −0.0423550 | + | 0.294586i | ||||
\(832\) | 0.273404 | − | 0.598671i | 0.00947858 | − | 0.0207552i | ||||
\(833\) | 0.0559968 | − | 0.0164422i | 0.00194017 | − | 0.000569687i | ||||
\(834\) | −6.38422 | − | 13.9795i | −0.221067 | − | 0.484070i | ||||
\(835\) | 11.0887 | + | 12.7970i | 0.383739 | + | 0.442858i | ||||
\(836\) | 1.30159 | + | 9.05274i | 0.0450164 | + | 0.313096i | ||||
\(837\) | −0.740675 | − | 0.217482i | −0.0256015 | − | 0.00751727i | ||||
\(838\) | 20.2250 | − | 23.3409i | 0.698661 | − | 0.806298i | ||||
\(839\) | −9.75254 | − | 6.26758i | −0.336695 | − | 0.216381i | 0.361357 | − | 0.932427i | \(-0.382313\pi\) |
−0.698053 | + | 0.716047i | \(0.745950\pi\) | |||||||
\(840\) | 2.15814 | + | 1.38695i | 0.0744628 | + | 0.0478543i | ||||
\(841\) | 5.32610 | − | 6.14665i | 0.183659 | − | 0.211953i | ||||
\(842\) | −28.3808 | − | 8.33335i | −0.978066 | − | 0.287186i | ||||
\(843\) | 2.32149 | + | 16.1463i | 0.0799564 | + | 0.556109i | ||||
\(844\) | 7.12807 | + | 8.22624i | 0.245358 | + | 0.283159i | ||||
\(845\) | 5.22046 | + | 11.4312i | 0.179589 | + | 0.393245i | ||||
\(846\) | −11.0348 | + | 3.24012i | −0.379385 | + | 0.111398i | ||||
\(847\) | −0.201013 | + | 0.440157i | −0.00690689 | + | 0.0151240i | ||||
\(848\) | −0.373464 | + | 2.59750i | −0.0128248 | + | 0.0891985i | ||||
\(849\) | 4.86279 | − | 3.12513i | 0.166891 | − | 0.107254i | ||||
\(850\) | 0.139346 | 0.00477952 | ||||||||
\(851\) | 9.04001 | − | 17.5953i | 0.309887 | − | 0.603160i | ||||
\(852\) | 11.2572 | 0.385667 | ||||||||
\(853\) | 47.0647 | − | 30.2467i | 1.61146 | − | 1.03563i | 0.650290 | − | 0.759686i | \(-0.274647\pi\) |
0.961175 | − | 0.275940i | \(-0.0889889\pi\) | |||||||
\(854\) | −0.220374 | + | 1.53273i | −0.00754104 | + | 0.0524491i | ||||
\(855\) | −1.15549 | + | 2.53016i | −0.0395168 | + | 0.0865298i | ||||
\(856\) | 11.1449 | − | 3.27245i | 0.380926 | − | 0.111850i | ||||
\(857\) | 7.61715 | + | 16.6792i | 0.260197 | + | 0.569751i | 0.993971 | − | 0.109642i | \(-0.0349704\pi\) |
−0.733774 | + | 0.679393i | \(0.762243\pi\) | |||||||
\(858\) | −1.41714 | − | 1.63546i | −0.0483803 | − | 0.0558338i | ||||
\(859\) | 5.19972 | + | 36.1648i | 0.177412 | + | 1.23393i | 0.862723 | + | 0.505678i | \(0.168757\pi\) |
−0.685310 | + | 0.728251i | \(0.740333\pi\) | |||||||
\(860\) | −1.55606 | − | 0.456901i | −0.0530613 | − | 0.0155802i | ||||
\(861\) | 2.20871 | − | 2.54898i | 0.0752726 | − | 0.0868692i | ||||
\(862\) | −4.90374 | − | 3.15144i | −0.167022 | − | 0.107339i | ||||
\(863\) | −36.6758 | − | 23.5701i | −1.24846 | − | 0.802336i | −0.261798 | − | 0.965123i | \(-0.584315\pi\) |
−0.986661 | + | 0.162787i | \(0.947952\pi\) | |||||||
\(864\) | 0.654861 | − | 0.755750i | 0.0222788 | − | 0.0257111i | ||||
\(865\) | 1.43531 | + | 0.421445i | 0.0488020 | + | 0.0143295i | ||||
\(866\) | 4.12943 | + | 28.7208i | 0.140324 | + | 0.975973i | ||||
\(867\) | −11.1199 | − | 12.8331i | −0.377652 | − | 0.435834i | ||||
\(868\) | −0.822659 | − | 1.80137i | −0.0279229 | − | 0.0611426i | ||||
\(869\) | −38.0525 | + | 11.1732i | −1.29084 | + | 0.379026i | ||||
\(870\) | 1.89762 | − | 4.15522i | 0.0643355 | − | 0.140875i | ||||
\(871\) | −1.01846 | + | 7.08356i | −0.0345093 | + | 0.240017i | ||||
\(872\) | 4.25108 | − | 2.73201i | 0.143960 | − | 0.0925174i | ||||
\(873\) | −14.8807 | −0.503637 | ||||||||
\(874\) | −13.3255 | − | 0.616159i | −0.450741 | − | 0.0208419i | ||||
\(875\) | −2.56538 | −0.0867257 | ||||||||
\(876\) | 2.00296 | − | 1.28723i | 0.0676738 | − | 0.0434913i | ||||
\(877\) | 3.77706 | − | 26.2700i | 0.127542 | − | 0.887076i | −0.821113 | − | 0.570765i | \(-0.806647\pi\) |
0.948656 | − | 0.316311i | \(-0.102444\pi\) | |||||||
\(878\) | −4.35078 | + | 9.52688i | −0.146832 | + | 0.321517i | ||||
\(879\) | 12.1030 | − | 3.55376i | 0.408224 | − | 0.119865i | ||||
\(880\) | 1.36591 | + | 2.99093i | 0.0460449 | + | 0.100824i | ||||
\(881\) | −21.6961 | − | 25.0386i | −0.730959 | − | 0.843572i | 0.261620 | − | 0.965171i | \(-0.415743\pi\) |
−0.992579 | + | 0.121599i | \(0.961198\pi\) | |||||||
\(882\) | 0.0596044 | + | 0.414558i | 0.00200698 | + | 0.0139589i | ||||
\(883\) | −37.0162 | − | 10.8689i | −1.24570 | − | 0.365769i | −0.408543 | − | 0.912739i | \(-0.633963\pi\) |
−0.837152 | + | 0.546970i | \(0.815781\pi\) | |||||||
\(884\) | −0.0600572 | + | 0.0693097i | −0.00201994 | + | 0.00233114i | ||||
\(885\) | 3.36493 | + | 2.16251i | 0.113111 | + | 0.0726919i | ||||
\(886\) | 26.6095 | + | 17.1009i | 0.893964 | + | 0.574516i | ||||
\(887\) | −35.3660 | + | 40.8146i | −1.18747 | + | 1.37042i | −0.274918 | + | 0.961468i | \(0.588651\pi\) |
−0.912556 | + | 0.408951i | \(0.865895\pi\) | |||||||
\(888\) | −3.95770 | − | 1.16208i | −0.132812 | − | 0.0389970i | ||||
\(889\) | −3.97336 | − | 27.6353i | −0.133262 | − | 0.926859i | ||||
\(890\) | 10.2186 | + | 11.7929i | 0.342528 | + | 0.395298i | ||||
\(891\) | −1.36591 | − | 2.99093i | −0.0457598 | − | 0.100200i | ||||
\(892\) | 0.893101 | − | 0.262238i | 0.0299032 | − | 0.00878038i | ||||
\(893\) | 13.2889 | − | 29.0986i | 0.444696 | − | 0.973748i | ||||
\(894\) | 1.25689 | − | 8.74189i | 0.0420368 | − | 0.292373i | ||||
\(895\) | −18.8878 | + | 12.1385i | −0.631350 | + | 0.405744i | ||||
\(896\) | 2.56538 | 0.0857034 | ||||||||
\(897\) | 2.73129 | − | 1.58199i | 0.0911950 | − | 0.0528211i | ||||
\(898\) | 18.3176 | 0.611265 | ||||||||
\(899\) | −2.96648 | + | 1.90644i | −0.0989375 | + | 0.0635833i | ||||
\(900\) | −0.142315 | + | 0.989821i | −0.00474383 | + | 0.0329940i | ||||
\(901\) | 0.151906 | − | 0.332627i | 0.00506071 | − | 0.0110814i | ||||
\(902\) | 4.14782 | − | 1.21791i | 0.138107 | − | 0.0405520i | ||||
\(903\) | 1.72830 | + | 3.78445i | 0.0575142 | + | 0.125939i | ||||
\(904\) | −3.58460 | − | 4.13684i | −0.119222 | − | 0.137589i | ||||
\(905\) | −1.29533 | − | 9.00920i | −0.0430582 | − | 0.299476i | ||||
\(906\) | −1.06531 | − | 0.312804i | −0.0353926 | − | 0.0103922i | ||||
\(907\) | −36.5705 | + | 42.2046i | −1.21430 | + | 1.40138i | −0.323970 | + | 0.946067i | \(0.605018\pi\) |
−0.890332 | + | 0.455312i | \(0.849528\pi\) | |||||||
\(908\) | −12.8386 | − | 8.25085i | −0.426063 | − | 0.273814i | ||||
\(909\) | 0.354145 | + | 0.227595i | 0.0117463 | + | 0.00754886i | ||||
\(910\) | 1.10566 | − | 1.27601i | 0.0366524 | − | 0.0422992i | ||||
\(911\) | −3.23392 | − | 0.949564i | −0.107144 | − | 0.0314605i | 0.227721 | − | 0.973726i | \(-0.426873\pi\) |
−0.334865 | + | 0.942266i | \(0.608691\pi\) | |||||||
\(912\) | 0.395852 | + | 2.75321i | 0.0131080 | + | 0.0911680i | ||||
\(913\) | 2.84997 | + | 3.28904i | 0.0943203 | + | 0.108851i | ||||
\(914\) | −6.51693 | − | 14.2701i | −0.215561 | − | 0.472012i | ||||
\(915\) | −0.579161 | + | 0.170057i | −0.0191465 | + | 0.00562192i | ||||
\(916\) | −0.143941 | + | 0.315187i | −0.00475594 | + | 0.0104141i | ||||
\(917\) | 1.02554 | − | 7.13278i | 0.0338663 | − | 0.235545i | ||||
\(918\) | −0.117225 | + | 0.0753360i | −0.00386900 | + | 0.00248646i | ||||
\(919\) | −35.2629 | −1.16322 | −0.581608 | − | 0.813469i | \(-0.697576\pi\) | ||||
−0.581608 | + | 0.813469i | \(0.697576\pi\) | |||||||
\(920\) | −4.65906 | + | 1.13715i | −0.153605 | + | 0.0374909i | ||||
\(921\) | 6.43868 | 0.212162 | ||||||||
\(922\) | 32.0294 | − | 20.5840i | 1.05483 | − | 0.677899i | ||||
\(923\) | 1.05440 | − | 7.33350i | 0.0347059 | − | 0.241385i | ||||
\(924\) | 3.50408 | − | 7.67288i | 0.115276 | − | 0.252419i | ||||
\(925\) | 3.95770 | − | 1.16208i | 0.130128 | − | 0.0382091i | ||||
\(926\) | 9.14408 | + | 20.0227i | 0.300493 | + | 0.657988i | ||||
\(927\) | 7.35319 | + | 8.48604i | 0.241511 | + | 0.278718i | ||||
\(928\) | −0.650097 | − | 4.52153i | −0.0213405 | − | 0.148426i | ||||
\(929\) | −12.3942 | − | 3.63926i | −0.406639 | − | 0.119400i | 0.0720149 | − | 0.997404i | \(-0.477057\pi\) |
−0.478654 | + | 0.878003i | \(0.658875\pi\) | |||||||
\(930\) | 0.505516 | − | 0.583396i | 0.0165765 | − | 0.0191303i | ||||
\(931\) | −0.980026 | − | 0.629825i | −0.0321191 | − | 0.0206417i | ||||
\(932\) | 14.7455 | + | 9.47633i | 0.483004 | + | 0.310408i | ||||
\(933\) | −2.67593 | + | 3.08818i | −0.0876059 | + | 0.101103i | ||||
\(934\) | −32.0010 | − | 9.39635i | −1.04711 | − | 0.307458i | ||||
\(935\) | −0.0652055 | − | 0.453514i | −0.00213245 | − | 0.0148315i | ||||
\(936\) | −0.430994 | − | 0.497394i | −0.0140875 | − | 0.0162578i | ||||
\(937\) | −8.86363 | − | 19.4086i | −0.289562 | − | 0.634053i | 0.707818 | − | 0.706395i | \(-0.249680\pi\) |
−0.997380 | + | 0.0723424i | \(0.976953\pi\) | |||||||
\(938\) | −26.7649 | + | 7.85889i | −0.873905 | + | 0.256602i | ||||
\(939\) | 2.43121 | − | 5.32361i | 0.0793396 | − | 0.173730i | ||||
\(940\) | 1.63672 | − | 11.3836i | 0.0533839 | − | 0.371293i | ||||
\(941\) | 50.9507 | − | 32.7440i | 1.66095 | − | 1.06742i | 0.744196 | − | 0.667961i | \(-0.232833\pi\) |
0.916749 | − | 0.399464i | \(-0.130804\pi\) | |||||||
\(942\) | −7.39706 | −0.241009 | ||||||||
\(943\) | 0.608098 | + | 6.27584i | 0.0198024 | + | 0.204370i | ||||
\(944\) | 3.99990 | 0.130186 | ||||||||
\(945\) | 2.15814 | − | 1.38695i | 0.0702042 | − | 0.0451175i | ||||
\(946\) | −0.758885 | + | 5.27816i | −0.0246735 | + | 0.171608i | ||||
\(947\) | 0.00768542 | − | 0.0168287i | 0.000249743 | − | 0.000546860i | −0.909507 | − | 0.415688i | \(-0.863541\pi\) |
0.909757 | + | 0.415142i | \(0.136268\pi\) | |||||||
\(948\) | −11.5729 | + | 3.39811i | −0.375871 | + | 0.110366i | ||||
\(949\) | −0.650955 | − | 1.42539i | −0.0211309 | − | 0.0462702i | ||||
\(950\) | −1.82151 | − | 2.10214i | −0.0590976 | − | 0.0682023i | ||||
\(951\) | 0.326749 | + | 2.27259i | 0.0105956 | + | 0.0736937i | ||||
\(952\) | −0.342995 | − | 0.100712i | −0.0111165 | − | 0.00326410i | ||||
\(953\) | −27.3310 | + | 31.5417i | −0.885339 | + | 1.02174i | 0.114260 | + | 0.993451i | \(0.463550\pi\) |
−0.999600 | + | 0.0282853i | \(0.990995\pi\) | |||||||
\(954\) | 2.20762 | + | 1.41875i | 0.0714745 | + | 0.0459339i | ||||
\(955\) | −17.7456 | − | 11.4044i | −0.574235 | − | 0.369038i | ||||
\(956\) | −13.2276 | + | 15.2654i | −0.427810 | + | 0.493719i | ||||
\(957\) | −14.4115 | − | 4.23161i | −0.465859 | − | 0.136789i | ||||
\(958\) | −4.53697 | − | 31.5553i | −0.146583 | − | 1.01951i | ||||
\(959\) | −18.6576 | − | 21.5320i | −0.602485 | − | 0.695305i | ||||
\(960\) | 0.415415 | + | 0.909632i | 0.0134075 | + | 0.0293582i | ||||
\(961\) | 29.1725 | − | 8.56583i | 0.941049 | − | 0.276317i | ||||
\(962\) | −1.12773 | + | 2.46939i | −0.0363595 | + | 0.0796162i | ||||
\(963\) | 1.65305 | − | 11.4972i | 0.0532688 | − | 0.370493i | ||||
\(964\) | −15.6564 | + | 10.0617i | −0.504258 | + | 0.324067i | ||||
\(965\) | −18.5135 | −0.595971 | ||||||||
\(966\) | 10.0318 | + | 7.12254i | 0.322767 | + | 0.229164i | ||||
\(967\) | −16.0098 | −0.514842 | −0.257421 | − | 0.966299i | \(-0.582873\pi\) | ||||
−0.257421 | + | 0.966299i | \(0.582873\pi\) | |||||||
\(968\) | −0.158678 | + | 0.101976i | −0.00510011 | + | 0.00327764i | ||||
\(969\) | 0.0551603 | − | 0.383648i | 0.00177200 | − | 0.0123246i | ||||
\(970\) | 6.18168 | − | 13.5360i | 0.198482 | − | 0.434615i | ||||
\(971\) | −17.7177 | + | 5.20238i | −0.568588 | + | 0.166952i | −0.553375 | − | 0.832932i | \(-0.686661\pi\) |
−0.0152121 | + | 0.999884i | \(0.504842\pi\) | |||||||
\(972\) | −0.415415 | − | 0.909632i | −0.0133244 | − | 0.0291765i | ||||
\(973\) | −25.8182 | − | 29.7958i | −0.827694 | − | 0.955210i | ||||
\(974\) | −4.09861 | − | 28.5065i | −0.131328 | − | 0.913406i | ||||
\(975\) | 0.631487 | + | 0.185421i | 0.0202238 | + | 0.00593824i | ||||
\(976\) | −0.395282 | + | 0.456180i | −0.0126527 | + | 0.0146020i | ||||
\(977\) | −31.2090 | − | 20.0568i | −0.998464 | − | 0.641674i | −0.0640815 | − | 0.997945i | \(-0.520412\pi\) |
−0.934383 | + | 0.356271i | \(0.884048\pi\) | |||||||
\(978\) | −15.7121 | − | 10.0975i | −0.502417 | − | 0.322884i | ||||
\(979\) | 33.5994 | − | 38.7758i | 1.07384 | − | 1.23928i | ||||
\(980\) | −0.401855 | − | 0.117995i | −0.0128368 | − | 0.00376922i | ||||
\(981\) | −0.719156 | − | 5.00184i | −0.0229609 | − | 0.159696i | ||||
\(982\) | 17.4374 | + | 20.1238i | 0.556449 | + | 0.642177i | ||||
\(983\) | −20.8763 | − | 45.7128i | −0.665852 | − | 1.45801i | −0.876967 | − | 0.480551i | \(-0.840437\pi\) |
0.211115 | − | 0.977461i | \(-0.432290\pi\) | |||||||
\(984\) | 1.26148 | − | 0.370403i | 0.0402144 | − | 0.0118080i | ||||
\(985\) | −2.37166 | + | 5.19322i | −0.0755675 | + | 0.165470i | ||||
\(986\) | −0.0905883 | + | 0.630055i | −0.00288492 | + | 0.0200650i | ||||
\(987\) | −24.8200 | + | 15.9509i | −0.790031 | + | 0.507722i | ||||
\(988\) | 1.83065 | 0.0582408 | ||||||||
\(989\) | −7.35344 | − | 2.53358i | −0.233826 | − | 0.0805631i | ||||
\(990\) | 3.28807 | 0.104502 | ||||||||
\(991\) | 26.6551 | − | 17.1302i | 0.846726 | − | 0.544158i | −0.0438261 | − | 0.999039i | \(-0.513955\pi\) |
0.890552 | + | 0.454881i | \(0.150318\pi\) | |||||||
\(992\) | 0.109859 | − | 0.764087i | 0.00348803 | − | 0.0242598i | ||||
\(993\) | −9.06629 | + | 19.8524i | −0.287710 | + | 0.629997i | ||||
\(994\) | 27.7093 | − | 8.13618i | 0.878885 | − | 0.258064i | ||||
\(995\) | 0.566356 | + | 1.24015i | 0.0179547 | + | 0.0393153i | ||||
\(996\) | 0.866762 | + | 1.00030i | 0.0274644 | + | 0.0316956i | ||||
\(997\) | −0.335605 | − | 2.33419i | −0.0106287 | − | 0.0739244i | 0.983817 | − | 0.179178i | \(-0.0573437\pi\) |
−0.994445 | + | 0.105253i | \(0.966435\pi\) | |||||||
\(998\) | 8.81139 | + | 2.58726i | 0.278920 | + | 0.0818982i | ||||
\(999\) | −2.70116 | + | 3.11730i | −0.0854608 | + | 0.0986270i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 690.2.m.d.541.1 | yes | 20 | |
23.2 | even | 11 | inner | 690.2.m.d.301.1 | ✓ | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.m.d.301.1 | ✓ | 20 | 23.2 | even | 11 | inner | |
690.2.m.d.541.1 | yes | 20 | 1.1 | even | 1 | trivial |