Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [294,2,Mod(41,294)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(294, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([7, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("294.41");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 294 = 2 \cdot 3 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 294.j (of order \(14\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.34760181943\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{14})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{14}]$ |
Embedding invariants
Embedding label | 251.20 | ||
Character | \(\chi\) | \(=\) | 294.251 |
Dual form | 294.2.j.a.41.20 |
$q$-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 \(\left(\mathbb{Z}/294\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(199\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{9}{14}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.781831 | + | 0.623490i | 0.552838 | + | 0.440874i | ||||
\(3\) | 1.72885 | − | 0.105257i | 0.998152 | − | 0.0607702i | ||||
\(4\) | 0.222521 | + | 0.974928i | 0.111260 | + | 0.487464i | ||||
\(5\) | −1.32694 | − | 0.639022i | −0.593427 | − | 0.285779i | 0.112967 | − | 0.993599i | \(-0.463965\pi\) |
−0.706393 | + | 0.707820i | \(0.749679\pi\) | |||||||
\(6\) | 1.41730 | + | 0.995627i | 0.578609 | + | 0.406463i | ||||
\(7\) | 1.06200 | + | 2.42325i | 0.401400 | + | 0.915903i | ||||
\(8\) | −0.433884 | + | 0.900969i | −0.153401 | + | 0.318541i | ||||
\(9\) | 2.97784 | − | 0.363947i | 0.992614 | − | 0.121316i | ||||
\(10\) | −0.639022 | − | 1.32694i | −0.202076 | − | 0.419616i | ||||
\(11\) | −1.54863 | − | 1.23499i | −0.466928 | − | 0.372363i | 0.361579 | − | 0.932342i | \(-0.382238\pi\) |
−0.828507 | + | 0.559979i | \(0.810809\pi\) | |||||||
\(12\) | 0.487323 | + | 1.66208i | 0.140678 | + | 0.479802i | ||||
\(13\) | 2.81675 | + | 2.24628i | 0.781226 | + | 0.623007i | 0.930710 | − | 0.365757i | \(-0.119190\pi\) |
−0.149484 | + | 0.988764i | \(0.547761\pi\) | |||||||
\(14\) | −0.680565 | + | 2.55672i | −0.181889 | + | 0.683313i | ||||
\(15\) | −2.36134 | − | 0.965102i | −0.609697 | − | 0.249188i | ||||
\(16\) | −0.900969 | + | 0.433884i | −0.225242 | + | 0.108471i | ||||
\(17\) | 0.364924 | − | 1.59884i | 0.0885071 | − | 0.387775i | −0.911200 | − | 0.411963i | \(-0.864843\pi\) |
0.999707 | + | 0.0241887i | \(0.00770027\pi\) | |||||||
\(18\) | 2.55509 | + | 1.57211i | 0.602240 | + | 0.370550i | ||||
\(19\) | − | 3.32283i | − | 0.762309i | −0.924511 | − | 0.381155i | \(-0.875527\pi\) | ||
0.924511 | − | 0.381155i | \(-0.124473\pi\) | |||||||
\(20\) | 0.327728 | − | 1.43587i | 0.0732821 | − | 0.321070i | ||||
\(21\) | 2.09111 | + | 4.07765i | 0.456317 | + | 0.889817i | ||||
\(22\) | −0.440762 | − | 1.93110i | −0.0939707 | − | 0.411713i | ||||
\(23\) | −1.55008 | + | 0.353797i | −0.323215 | + | 0.0737717i | −0.381050 | − | 0.924554i | \(-0.624437\pi\) |
0.0578350 | + | 0.998326i | \(0.481580\pi\) | |||||||
\(24\) | −0.655286 | + | 1.60331i | −0.133760 | + | 0.327274i | ||||
\(25\) | −1.76502 | − | 2.21327i | −0.353004 | − | 0.442654i | ||||
\(26\) | 0.801689 | + | 3.51243i | 0.157224 | + | 0.688844i | ||||
\(27\) | 5.10993 | − | 0.942649i | 0.983407 | − | 0.181413i | ||||
\(28\) | −2.12618 | + | 1.57460i | −0.401810 | + | 0.297572i | ||||
\(29\) | −8.42627 | − | 1.92324i | −1.56472 | − | 0.357137i | −0.649585 | − | 0.760289i | \(-0.725057\pi\) |
−0.915133 | + | 0.403152i | \(0.867915\pi\) | |||||||
\(30\) | −1.24444 | − | 2.22682i | −0.227203 | − | 0.406560i | ||||
\(31\) | − | 7.72115i | − | 1.38676i | −0.720572 | − | 0.693380i | \(-0.756121\pi\) | ||
0.720572 | − | 0.693380i | \(-0.243879\pi\) | |||||||
\(32\) | −0.974928 | − | 0.222521i | −0.172345 | − | 0.0393365i | ||||
\(33\) | −2.80733 | − | 1.97210i | −0.488694 | − | 0.343299i | ||||
\(34\) | 1.28217 | − | 1.02249i | 0.219890 | − | 0.175356i | ||||
\(35\) | 0.139293 | − | 3.89416i | 0.0235448 | − | 0.658233i | ||||
\(36\) | 1.01745 | + | 2.82220i | 0.169576 | + | 0.470366i | ||||
\(37\) | −1.59721 | + | 6.99784i | −0.262580 | + | 1.15044i | 0.655862 | + | 0.754881i | \(0.272305\pi\) |
−0.918442 | + | 0.395556i | \(0.870552\pi\) | |||||||
\(38\) | 2.07175 | − | 2.59789i | 0.336082 | − | 0.421434i | ||||
\(39\) | 5.10618 | + | 3.58700i | 0.817642 | + | 0.574380i | ||||
\(40\) | 1.15148 | − | 0.918272i | 0.182065 | − | 0.145192i | ||||
\(41\) | −4.55013 | − | 2.19123i | −0.710611 | − | 0.342212i | 0.0434147 | − | 0.999057i | \(-0.486176\pi\) |
−0.754026 | + | 0.656845i | \(0.771891\pi\) | |||||||
\(42\) | −0.907481 | + | 4.49182i | −0.140027 | + | 0.693103i | ||||
\(43\) | −4.87660 | + | 2.34845i | −0.743674 | + | 0.358135i | −0.767046 | − | 0.641592i | \(-0.778274\pi\) |
0.0233718 | + | 0.999727i | \(0.492560\pi\) | |||||||
\(44\) | 0.859422 | − | 1.78461i | 0.129563 | − | 0.269040i | ||||
\(45\) | −4.18399 | − | 1.41997i | −0.623713 | − | 0.211676i | ||||
\(46\) | −1.43249 | − | 0.689853i | −0.211210 | − | 0.101713i | ||||
\(47\) | −2.86905 | + | 3.59768i | −0.418494 | + | 0.524775i | −0.945734 | − | 0.324941i | \(-0.894656\pi\) |
0.527240 | + | 0.849717i | \(0.323227\pi\) | |||||||
\(48\) | −1.51197 | + | 0.844953i | −0.218234 | + | 0.121958i | ||||
\(49\) | −4.74430 | + | 5.14700i | −0.677757 | + | 0.735286i | ||||
\(50\) | − | 2.83088i | − | 0.400346i | ||||||
\(51\) | 0.462610 | − | 2.80256i | 0.0647783 | − | 0.392437i | ||||
\(52\) | −1.56318 | + | 3.24597i | −0.216774 | + | 0.450136i | ||||
\(53\) | 13.0036 | − | 2.96798i | 1.78618 | − | 0.407684i | 0.803849 | − | 0.594833i | \(-0.202782\pi\) |
0.982331 | + | 0.187149i | \(0.0599248\pi\) | |||||||
\(54\) | 4.58284 | + | 2.44900i | 0.623645 | + | 0.333266i | ||||
\(55\) | 1.26575 | + | 2.62836i | 0.170674 | + | 0.354408i | ||||
\(56\) | −2.64406 | − | 0.0945772i | −0.353327 | − | 0.0126384i | ||||
\(57\) | −0.349751 | − | 5.74467i | −0.0463257 | − | 0.760900i | ||||
\(58\) | −5.38880 | − | 6.75734i | −0.707584 | − | 0.887282i | ||||
\(59\) | 3.81131 | − | 1.83543i | 0.496190 | − | 0.238952i | −0.169015 | − | 0.985614i | \(-0.554059\pi\) |
0.665205 | + | 0.746661i | \(0.268344\pi\) | |||||||
\(60\) | 0.415456 | − | 2.51690i | 0.0536352 | − | 0.324930i | ||||
\(61\) | 10.9005 | + | 2.48797i | 1.39567 | + | 0.318552i | 0.853225 | − | 0.521542i | \(-0.174643\pi\) |
0.542441 | + | 0.840094i | \(0.317500\pi\) | |||||||
\(62\) | 4.81406 | − | 6.03664i | 0.611386 | − | 0.766654i | ||||
\(63\) | 4.04442 | + | 6.82955i | 0.509548 | + | 0.860442i | ||||
\(64\) | −0.623490 | − | 0.781831i | −0.0779362 | − | 0.0977289i | ||||
\(65\) | −2.30224 | − | 4.78065i | −0.285558 | − | 0.592967i | ||||
\(66\) | −0.965273 | − | 3.29219i | −0.118817 | − | 0.405241i | ||||
\(67\) | −5.99565 | −0.732485 | −0.366243 | − | 0.930519i | \(-0.619356\pi\) | ||||
−0.366243 | + | 0.930519i | \(0.619356\pi\) | |||||||
\(68\) | 1.63995 | 0.198874 | ||||||||
\(69\) | −2.64262 | + | 0.774819i | −0.318135 | + | 0.0932772i | ||||
\(70\) | 2.53687 | − | 2.95773i | 0.303214 | − | 0.353516i | ||||
\(71\) | −8.40837 | + | 1.91916i | −0.997890 | + | 0.227762i | −0.690117 | − | 0.723698i | \(-0.742441\pi\) |
−0.307773 | + | 0.951460i | \(0.599584\pi\) | |||||||
\(72\) | −0.964132 | + | 2.84085i | −0.113624 | + | 0.334798i | ||||
\(73\) | 5.11254 | − | 4.07712i | 0.598378 | − | 0.477191i | −0.276842 | − | 0.960915i | \(-0.589288\pi\) |
0.875220 | + | 0.483725i | \(0.160716\pi\) | |||||||
\(74\) | −5.61183 | + | 4.47528i | −0.652362 | + | 0.520241i | ||||
\(75\) | −3.28442 | − | 3.64063i | −0.379252 | − | 0.420383i | ||||
\(76\) | 3.23952 | − | 0.739399i | 0.371598 | − | 0.0848149i | ||||
\(77\) | 1.34804 | − | 5.06427i | 0.153623 | − | 0.577127i | ||||
\(78\) | 1.75571 | + | 5.98808i | 0.198795 | + | 0.678017i | ||||
\(79\) | −7.73563 | −0.870327 | −0.435163 | − | 0.900351i | \(-0.643309\pi\) | ||||
−0.435163 | + | 0.900351i | \(0.643309\pi\) | |||||||
\(80\) | 1.47279 | 0.164663 | ||||||||
\(81\) | 8.73508 | − | 2.16756i | 0.970565 | − | 0.240840i | ||||
\(82\) | −2.19123 | − | 4.55013i | −0.241981 | − | 0.502478i | ||||
\(83\) | 6.53297 | + | 8.19209i | 0.717087 | + | 0.899199i | 0.998169 | − | 0.0604852i | \(-0.0192648\pi\) |
−0.281082 | + | 0.959684i | \(0.590693\pi\) | |||||||
\(84\) | −3.51010 | + | 2.94604i | −0.382984 | + | 0.321440i | ||||
\(85\) | −1.50592 | + | 1.88837i | −0.163340 | + | 0.204822i | ||||
\(86\) | −5.27691 | − | 1.20442i | −0.569024 | − | 0.129876i | ||||
\(87\) | −14.7702 | − | 2.43807i | −1.58353 | − | 0.261388i | ||||
\(88\) | 1.78461 | − | 0.859422i | 0.190240 | − | 0.0916147i | ||||
\(89\) | −5.78822 | − | 7.25820i | −0.613550 | − | 0.769367i | 0.373871 | − | 0.927481i | \(-0.378030\pi\) |
−0.987421 | + | 0.158113i | \(0.949459\pi\) | |||||||
\(90\) | −2.38584 | − | 3.71885i | −0.251490 | − | 0.392002i | ||||
\(91\) | −2.45191 | + | 9.21126i | −0.257030 | + | 0.965602i | ||||
\(92\) | −0.689853 | − | 1.43249i | −0.0719221 | − | 0.149348i | ||||
\(93\) | −0.812706 | − | 13.3487i | −0.0842737 | − | 1.38420i | ||||
\(94\) | −4.48623 | + | 1.02395i | −0.462719 | + | 0.105613i | ||||
\(95\) | −2.12336 | + | 4.40920i | −0.217852 | + | 0.452374i | ||||
\(96\) | −1.70893 | − | 0.282087i | −0.174416 | − | 0.0287904i | ||||
\(97\) | 7.64326i | 0.776056i | 0.921648 | + | 0.388028i | \(0.126844\pi\) | ||||
−0.921648 | + | 0.388028i | \(0.873156\pi\) | |||||||
\(98\) | −6.91834 | + | 1.06607i | −0.698858 | + | 0.107689i | ||||
\(99\) | −5.06103 | − | 3.11398i | −0.508653 | − | 0.312967i | ||||
\(100\) | 1.76502 | − | 2.21327i | 0.176502 | − | 0.221327i | ||||
\(101\) | 9.59189 | + | 4.61921i | 0.954428 | + | 0.459628i | 0.845237 | − | 0.534392i | \(-0.179459\pi\) |
0.109192 | + | 0.994021i | \(0.465174\pi\) | |||||||
\(102\) | 2.10905 | − | 1.90270i | 0.208827 | − | 0.188395i | ||||
\(103\) | 5.60788 | − | 11.6449i | 0.552561 | − | 1.14741i | −0.418421 | − | 0.908253i | \(-0.637416\pi\) |
0.970982 | − | 0.239152i | \(-0.0768694\pi\) | |||||||
\(104\) | −3.24597 | + | 1.56318i | −0.318294 | + | 0.153282i | ||||
\(105\) | −0.169071 | − | 6.74707i | −0.0164997 | − | 0.658447i | ||||
\(106\) | 12.0171 | + | 5.78714i | 1.16721 | + | 0.562097i | ||||
\(107\) | 0.462864 | − | 0.369122i | 0.0447468 | − | 0.0356844i | −0.600861 | − | 0.799353i | \(-0.705176\pi\) |
0.645608 | + | 0.763669i | \(0.276604\pi\) | |||||||
\(108\) | 2.05608 | + | 4.77206i | 0.197847 | + | 0.459191i | ||||
\(109\) | 7.65924 | − | 9.60438i | 0.733622 | − | 0.919933i | −0.265400 | − | 0.964138i | \(-0.585504\pi\) |
0.999022 | + | 0.0442054i | \(0.0140756\pi\) | |||||||
\(110\) | −0.649152 | + | 2.84412i | −0.0618942 | + | 0.271176i | ||||
\(111\) | −2.02476 | + | 12.2663i | −0.192182 | + | 1.16427i | ||||
\(112\) | −2.00824 | − | 1.72249i | −0.189761 | − | 0.162760i | ||||
\(113\) | 0.488590 | − | 0.389638i | 0.0459627 | − | 0.0366540i | −0.600239 | − | 0.799821i | \(-0.704928\pi\) |
0.646202 | + | 0.763167i | \(0.276356\pi\) | |||||||
\(114\) | 3.30830 | − | 4.70943i | 0.309850 | − | 0.441079i | ||||
\(115\) | 2.28296 | + | 0.521070i | 0.212887 | + | 0.0485900i | ||||
\(116\) | − | 8.64296i | − | 0.802479i | ||||||
\(117\) | 9.20537 | + | 5.66393i | 0.851036 | + | 0.523630i | ||||
\(118\) | 4.12417 | + | 0.941315i | 0.379661 | + | 0.0866551i | ||||
\(119\) | 4.26193 | − | 0.813667i | 0.390691 | − | 0.0745888i | ||||
\(120\) | 1.89408 | − | 1.70876i | 0.172905 | − | 0.155987i | ||||
\(121\) | −1.57468 | − | 6.89914i | −0.143153 | − | 0.627195i | ||||
\(122\) | 6.97113 | + | 8.74152i | 0.631137 | + | 0.791420i | ||||
\(123\) | −8.09713 | − | 3.30937i | −0.730094 | − | 0.298396i | ||||
\(124\) | 7.52757 | − | 1.71812i | 0.675996 | − | 0.154292i | ||||
\(125\) | 2.56639 | + | 11.2441i | 0.229545 | + | 1.00570i | ||||
\(126\) | −1.09610 | + | 7.86121i | −0.0976485 | + | 0.700332i | ||||
\(127\) | −3.60492 | + | 15.7942i | −0.319885 | + | 1.40151i | 0.517868 | + | 0.855461i | \(0.326726\pi\) |
−0.837753 | + | 0.546049i | \(0.816131\pi\) | |||||||
\(128\) | − | 1.00000i | − | 0.0883883i | ||||||
\(129\) | −8.18371 | + | 4.57341i | −0.720536 | + | 0.402666i | ||||
\(130\) | 1.18072 | − | 5.17309i | 0.103556 | − | 0.453710i | ||||
\(131\) | −1.39804 | + | 0.673260i | −0.122147 | + | 0.0588230i | −0.493959 | − | 0.869485i | \(-0.664451\pi\) |
0.371812 | + | 0.928308i | \(0.378737\pi\) | |||||||
\(132\) | 1.29797 | − | 3.17578i | 0.112974 | − | 0.276416i | ||||
\(133\) | 8.05205 | − | 3.52886i | 0.698201 | − | 0.305991i | ||||
\(134\) | −4.68759 | − | 3.73823i | −0.404946 | − | 0.322934i | ||||
\(135\) | −7.38296 | − | 2.01452i | −0.635424 | − | 0.173382i | ||||
\(136\) | 1.28217 | + | 1.02249i | 0.109945 | + | 0.0876781i | ||||
\(137\) | 3.52575 | + | 7.32129i | 0.301225 | + | 0.625500i | 0.995558 | − | 0.0941541i | \(-0.0300146\pi\) |
−0.694333 | + | 0.719654i | \(0.744300\pi\) | |||||||
\(138\) | −2.54918 | − | 1.04187i | −0.217000 | − | 0.0886900i | ||||
\(139\) | 0.557993 | − | 1.15868i | 0.0473283 | − | 0.0982783i | −0.875964 | − | 0.482377i | \(-0.839774\pi\) |
0.923292 | + | 0.384099i | \(0.125488\pi\) | |||||||
\(140\) | 3.82752 | − | 0.730731i | 0.323484 | − | 0.0617581i | ||||
\(141\) | −4.58148 | + | 6.52183i | −0.385830 | + | 0.549237i | ||||
\(142\) | −7.77051 | − | 3.74208i | −0.652086 | − | 0.314028i | ||||
\(143\) | −1.58796 | − | 6.95730i | −0.132792 | − | 0.581799i | ||||
\(144\) | −2.52503 | + | 1.61994i | −0.210419 | + | 0.134995i | ||||
\(145\) | 9.95217 | + | 7.93659i | 0.826483 | + | 0.659098i | ||||
\(146\) | 6.53919 | 0.541187 | ||||||||
\(147\) | −7.66042 | + | 9.39777i | −0.631820 | + | 0.775115i | ||||
\(148\) | −7.17780 | −0.590011 | ||||||||
\(149\) | 17.2664 | + | 13.7695i | 1.41452 | + | 1.12804i | 0.973004 | + | 0.230790i | \(0.0741309\pi\) |
0.441517 | + | 0.897253i | \(0.354440\pi\) | |||||||
\(150\) | −0.297970 | − | 4.89416i | −0.0243291 | − | 0.399606i | ||||
\(151\) | 2.45059 | + | 10.7368i | 0.199427 | + | 0.873745i | 0.971279 | + | 0.237943i | \(0.0764732\pi\) |
−0.771852 | + | 0.635802i | \(0.780670\pi\) | |||||||
\(152\) | 2.99376 | + | 1.44172i | 0.242826 | + | 0.116939i | ||||
\(153\) | 0.504793 | − | 4.89389i | 0.0408101 | − | 0.395648i | ||||
\(154\) | 4.21146 | − | 3.11892i | 0.339369 | − | 0.251329i | ||||
\(155\) | −4.93398 | + | 10.2455i | −0.396307 | + | 0.822940i | ||||
\(156\) | −2.36084 | + | 5.77634i | −0.189018 | + | 0.462477i | ||||
\(157\) | 4.94561 | + | 10.2697i | 0.394703 | + | 0.819609i | 0.999726 | + | 0.0234010i | \(0.00744946\pi\) |
−0.605023 | + | 0.796208i | \(0.706836\pi\) | |||||||
\(158\) | −6.04796 | − | 4.82309i | −0.481150 | − | 0.383704i | ||||
\(159\) | 22.1688 | − | 6.49992i | 1.75810 | − | 0.515477i | ||||
\(160\) | 1.15148 | + | 0.918272i | 0.0910323 | + | 0.0725958i | ||||
\(161\) | −2.50353 | − | 3.38051i | −0.197306 | − | 0.266422i | ||||
\(162\) | 8.18081 | + | 3.75157i | 0.642745 | + | 0.294751i | ||||
\(163\) | −12.5794 | + | 6.05791i | −0.985293 | + | 0.474492i | −0.855922 | − | 0.517104i | \(-0.827010\pi\) |
−0.129371 | + | 0.991596i | \(0.541296\pi\) | |||||||
\(164\) | 1.12379 | − | 4.92364i | 0.0877532 | − | 0.384472i | ||||
\(165\) | 2.46495 | + | 4.41081i | 0.191896 | + | 0.343381i | ||||
\(166\) | 10.4781i | 0.813256i | ||||||||
\(167\) | −3.88274 | + | 17.0114i | −0.300455 | + | 1.31638i | 0.568987 | + | 0.822346i | \(0.307335\pi\) |
−0.869442 | + | 0.494034i | \(0.835522\pi\) | |||||||
\(168\) | −4.58114 | + | 0.114796i | −0.353442 | + | 0.00885673i | ||||
\(169\) | −0.00447860 | − | 0.0196220i | −0.000344507 | − | 0.00150939i | ||||
\(170\) | −2.35476 | + | 0.537458i | −0.180602 | + | 0.0412211i | ||||
\(171\) | −1.20933 | − | 9.89486i | −0.0924801 | − | 0.756679i | ||||
\(172\) | −3.37471 | − | 4.23175i | −0.257319 | − | 0.322668i | ||||
\(173\) | 4.23299 | + | 18.5459i | 0.321828 | + | 1.41002i | 0.834297 | + | 0.551316i | \(0.185874\pi\) |
−0.512469 | + | 0.858706i | \(0.671269\pi\) | |||||||
\(174\) | −10.0277 | − | 11.1152i | −0.760197 | − | 0.842642i | ||||
\(175\) | 3.48885 | − | 6.62759i | 0.263732 | − | 0.500999i | ||||
\(176\) | 1.93110 | + | 0.440762i | 0.145562 | + | 0.0332237i | ||||
\(177\) | 6.39598 | − | 3.57435i | 0.480752 | − | 0.268664i | ||||
\(178\) | − | 9.28358i | − | 0.695834i | ||||||
\(179\) | −6.70000 | − | 1.52923i | −0.500782 | − | 0.114300i | −0.0353340 | − | 0.999376i | \(-0.511250\pi\) |
−0.465448 | + | 0.885075i | \(0.654107\pi\) | |||||||
\(180\) | 0.453340 | − | 4.39507i | 0.0337900 | − | 0.327589i | ||||
\(181\) | 1.16733 | − | 0.930913i | 0.0867668 | − | 0.0691942i | −0.579146 | − | 0.815224i | \(-0.696614\pi\) |
0.665913 | + | 0.746030i | \(0.268042\pi\) | |||||||
\(182\) | −7.66011 | + | 5.67291i | −0.567805 | + | 0.420504i | ||||
\(183\) | 19.1072 | + | 3.15397i | 1.41245 | + | 0.233148i | ||||
\(184\) | 0.353797 | − | 1.55008i | 0.0260822 | − | 0.114274i | ||||
\(185\) | 6.59117 | − | 8.26507i | 0.484593 | − | 0.607660i | ||||
\(186\) | 7.68739 | − | 10.9432i | 0.563667 | − | 0.802391i | ||||
\(187\) | −2.53967 | + | 2.02532i | −0.185719 | + | 0.148106i | ||||
\(188\) | −4.14590 | − | 1.99656i | −0.302371 | − | 0.145614i | ||||
\(189\) | 7.71104 | + | 11.3816i | 0.560896 | + | 0.827886i | ||||
\(190\) | −4.40920 | + | 2.12336i | −0.319877 | + | 0.154045i | ||||
\(191\) | −5.00229 | + | 10.3874i | −0.361953 | + | 0.751603i | −0.999828 | − | 0.0185366i | \(-0.994099\pi\) |
0.637875 | + | 0.770140i | \(0.279814\pi\) | |||||||
\(192\) | −1.16021 | − | 1.28604i | −0.0837312 | − | 0.0928121i | ||||
\(193\) | −16.1615 | − | 7.78296i | −1.16333 | − | 0.560229i | −0.250317 | − | 0.968164i | \(-0.580535\pi\) |
−0.913011 | + | 0.407934i | \(0.866249\pi\) | |||||||
\(194\) | −4.76550 | + | 5.97574i | −0.342143 | + | 0.429033i | ||||
\(195\) | −4.48343 | − | 8.02270i | −0.321065 | − | 0.574518i | ||||
\(196\) | −6.07366 | − | 3.48003i | −0.433833 | − | 0.248574i | ||||
\(197\) | − | 16.1287i | − | 1.14912i | −0.818462 | − | 0.574560i | \(-0.805173\pi\) | ||
0.818462 | − | 0.574560i | \(-0.194827\pi\) | |||||||
\(198\) | −2.01534 | − | 5.59011i | −0.143224 | − | 0.397272i | ||||
\(199\) | 2.60766 | − | 5.41486i | 0.184852 | − | 0.383850i | −0.787863 | − | 0.615850i | \(-0.788813\pi\) |
0.972716 | + | 0.232000i | \(0.0745270\pi\) | |||||||
\(200\) | 2.75990 | − | 0.629929i | 0.195154 | − | 0.0445427i | ||||
\(201\) | −10.3656 | + | 0.631085i | −0.731131 | + | 0.0445133i | ||||
\(202\) | 4.61921 | + | 9.59189i | 0.325006 | + | 0.674883i | ||||
\(203\) | −4.28823 | − | 22.4614i | −0.300975 | − | 1.57648i | ||||
\(204\) | 2.83523 | − | 0.172617i | 0.198506 | − | 0.0120856i | ||||
\(205\) | 4.63752 | + | 5.81526i | 0.323898 | + | 0.406156i | ||||
\(206\) | 11.6449 | − | 5.60788i | 0.811338 | − | 0.390720i | ||||
\(207\) | −4.48714 | + | 1.61770i | −0.311878 | + | 0.112438i | ||||
\(208\) | −3.51243 | − | 0.801689i | −0.243543 | − | 0.0555872i | ||||
\(209\) | −4.10365 | + | 5.14581i | −0.283855 | + | 0.355943i | ||||
\(210\) | 4.07455 | − | 5.38049i | 0.281170 | − | 0.371289i | ||||
\(211\) | 0.969347 | + | 1.21552i | 0.0667326 | + | 0.0836801i | 0.814077 | − | 0.580756i | \(-0.197243\pi\) |
−0.747345 | + | 0.664436i | \(0.768672\pi\) | |||||||
\(212\) | 5.78714 | + | 12.0171i | 0.397463 | + | 0.825339i | ||||
\(213\) | −14.3348 | + | 4.20297i | −0.982205 | + | 0.287983i | ||||
\(214\) | 0.592026 | 0.0404700 | ||||||||
\(215\) | 7.97167 | 0.543663 | ||||||||
\(216\) | −1.36782 | + | 5.01289i | −0.0930683 | + | 0.341084i | ||||
\(217\) | 18.7103 | − | 8.19989i | 1.27014 | − | 0.556645i | ||||
\(218\) | 11.9765 | − | 2.73355i | 0.811149 | − | 0.185139i | ||||
\(219\) | 8.40967 | − | 7.58685i | 0.568273 | − | 0.512672i | ||||
\(220\) | −2.28081 | + | 1.81888i | −0.153772 | + | 0.122629i | ||||
\(221\) | 4.61934 | − | 3.68380i | 0.310730 | − | 0.247799i | ||||
\(222\) | −9.23095 | + | 8.32778i | −0.619541 | + | 0.558924i | ||||
\(223\) | −17.0995 | + | 3.90285i | −1.14507 | + | 0.261354i | −0.752642 | − | 0.658429i | \(-0.771221\pi\) |
−0.392426 | + | 0.919784i | \(0.628364\pi\) | |||||||
\(224\) | −0.496153 | − | 2.59881i | −0.0331506 | − | 0.173641i | ||||
\(225\) | −6.06147 | − | 5.94839i | −0.404098 | − | 0.396559i | ||||
\(226\) | 0.624930 | 0.0415698 | ||||||||
\(227\) | −7.72625 | −0.512809 | −0.256405 | − | 0.966570i | \(-0.582538\pi\) | ||||
−0.256405 | + | 0.966570i | \(0.582538\pi\) | |||||||
\(228\) | 5.52281 | − | 1.61929i | 0.365757 | − | 0.107240i | ||||
\(229\) | −11.3034 | − | 23.4718i | −0.746950 | − | 1.55106i | −0.832059 | − | 0.554687i | \(-0.812838\pi\) |
0.0851091 | − | 0.996372i | \(-0.472876\pi\) | |||||||
\(230\) | 1.46001 | + | 1.83079i | 0.0962699 | + | 0.120719i | ||||
\(231\) | 1.79751 | − | 8.89725i | 0.118267 | − | 0.585396i | ||||
\(232\) | 5.38880 | − | 6.75734i | 0.353792 | − | 0.443641i | ||||
\(233\) | 15.4871 | + | 3.53482i | 1.01459 | + | 0.231574i | 0.697319 | − | 0.716761i | \(-0.254376\pi\) |
0.317272 | + | 0.948335i | \(0.397233\pi\) | |||||||
\(234\) | 3.66564 | + | 10.1677i | 0.239631 | + | 0.664683i | ||||
\(235\) | 6.10606 | − | 2.94052i | 0.398316 | − | 0.191819i | ||||
\(236\) | 2.63751 | + | 3.30733i | 0.171687 | + | 0.215289i | ||||
\(237\) | −13.3737 | + | 0.814230i | −0.868718 | + | 0.0528900i | ||||
\(238\) | 3.83943 | + | 2.02112i | 0.248873 | + | 0.131010i | ||||
\(239\) | 10.4073 | + | 21.6109i | 0.673190 | + | 1.39789i | 0.905118 | + | 0.425161i | \(0.139783\pi\) |
−0.231927 | + | 0.972733i | \(0.574503\pi\) | |||||||
\(240\) | 2.54624 | − | 0.155022i | 0.164359 | − | 0.0100066i | ||||
\(241\) | −0.292112 | + | 0.0666726i | −0.0188166 | + | 0.00429476i | −0.231919 | − | 0.972735i | \(-0.574500\pi\) |
0.213102 | + | 0.977030i | \(0.431643\pi\) | |||||||
\(242\) | 3.07041 | − | 6.37577i | 0.197373 | − | 0.409850i | ||||
\(243\) | 14.8735 | − | 4.66681i | 0.954135 | − | 0.299376i | ||||
\(244\) | 11.1808i | 0.715779i | ||||||||
\(245\) | 9.58445 | − | 3.79807i | 0.612328 | − | 0.242650i | ||||
\(246\) | −4.26724 | − | 7.63585i | −0.272069 | − | 0.486844i | ||||
\(247\) | 7.46401 | − | 9.35958i | 0.474924 | − | 0.595536i | ||||
\(248\) | 6.95652 | + | 3.35008i | 0.441739 | + | 0.212730i | ||||
\(249\) | 12.1568 | + | 13.4752i | 0.770406 | + | 0.853959i | ||||
\(250\) | −5.00410 | + | 10.3911i | −0.316487 | + | 0.657192i | ||||
\(251\) | 18.2776 | − | 8.80202i | 1.15367 | − | 0.555579i | 0.243536 | − | 0.969892i | \(-0.421692\pi\) |
0.910134 | + | 0.414313i | \(0.135978\pi\) | |||||||
\(252\) | −5.75835 | + | 5.46273i | −0.362742 | + | 0.344120i | ||||
\(253\) | 2.83743 | + | 1.36644i | 0.178388 | + | 0.0859071i | ||||
\(254\) | −12.6660 | + | 10.1008i | −0.794734 | + | 0.633779i | ||||
\(255\) | −2.40475 | + | 3.42321i | −0.150591 | + | 0.214370i | ||||
\(256\) | 0.623490 | − | 0.781831i | 0.0389681 | − | 0.0488645i | ||||
\(257\) | −1.57725 | + | 6.91038i | −0.0983861 | + | 0.431058i | −0.999999 | − | 0.00148644i | \(-0.999527\pi\) |
0.901613 | + | 0.432544i | \(0.142384\pi\) | |||||||
\(258\) | −9.24976 | − | 1.52683i | −0.575865 | − | 0.0950562i | ||||
\(259\) | −18.6538 | + | 3.56129i | −1.15909 | + | 0.221287i | ||||
\(260\) | 4.14849 | − | 3.30831i | 0.257279 | − | 0.205173i | ||||
\(261\) | −25.7920 | − | 2.66039i | −1.59649 | − | 0.164674i | ||||
\(262\) | −1.51280 | − | 0.345287i | −0.0934613 | − | 0.0213319i | ||||
\(263\) | − | 20.3134i | − | 1.25258i | −0.779590 | − | 0.626290i | \(-0.784572\pi\) | ||
0.779590 | − | 0.626290i | \(-0.215428\pi\) | |||||||
\(264\) | 2.99486 | − | 1.67365i | 0.184321 | − | 0.103006i | ||||
\(265\) | −19.1516 | − | 4.37123i | −1.17647 | − | 0.268523i | ||||
\(266\) | 8.49555 | + | 2.26140i | 0.520896 | + | 0.138655i | ||||
\(267\) | −10.7709 | − | 11.9391i | −0.659171 | − | 0.730660i | ||||
\(268\) | −1.33416 | − | 5.84533i | −0.0814967 | − | 0.357060i | ||||
\(269\) | −19.1687 | − | 24.0368i | −1.16874 | − | 1.46555i | −0.856949 | − | 0.515401i | \(-0.827643\pi\) |
−0.311789 | − | 0.950151i | \(-0.600928\pi\) | |||||||
\(270\) | −4.51620 | − | 6.17821i | −0.274847 | − | 0.375994i | ||||
\(271\) | −17.7061 | + | 4.04130i | −1.07557 | + | 0.245491i | −0.723388 | − | 0.690441i | \(-0.757416\pi\) |
−0.352179 | + | 0.935933i | \(0.614559\pi\) | |||||||
\(272\) | 0.364924 | + | 1.59884i | 0.0221268 | + | 0.0969437i | ||||
\(273\) | −3.26943 | + | 16.1830i | −0.197875 | + | 0.979437i | ||||
\(274\) | −1.80821 | + | 7.92228i | −0.109238 | + | 0.478603i | ||||
\(275\) | 5.60730i | 0.338133i | ||||||||
\(276\) | −1.34343 | − | 2.40395i | −0.0808651 | − | 0.144701i | ||||
\(277\) | −2.97133 | + | 13.0182i | −0.178530 | + | 0.782191i | 0.803780 | + | 0.594927i | \(0.202819\pi\) |
−0.982310 | + | 0.187264i | \(0.940038\pi\) | |||||||
\(278\) | 1.15868 | − | 0.557993i | 0.0694932 | − | 0.0334662i | ||||
\(279\) | −2.81009 | − | 22.9924i | −0.168236 | − | 1.37652i | ||||
\(280\) | 3.44808 | + | 1.81511i | 0.206062 | + | 0.108474i | ||||
\(281\) | −16.6635 | − | 13.2887i | −0.994061 | − | 0.792737i | −0.0157494 | − | 0.999876i | \(-0.505013\pi\) |
−0.978312 | + | 0.207139i | \(0.933585\pi\) | |||||||
\(282\) | −7.64824 | + | 2.24247i | −0.455446 | + | 0.133537i | ||||
\(283\) | −10.1699 | − | 8.11023i | −0.604539 | − | 0.482103i | 0.272738 | − | 0.962088i | \(-0.412071\pi\) |
−0.877277 | + | 0.479985i | \(0.840642\pi\) | |||||||
\(284\) | −3.74208 | − | 7.77051i | −0.222052 | − | 0.461095i | ||||
\(285\) | −3.20687 | + | 7.84634i | −0.189959 | + | 0.464777i | ||||
\(286\) | 3.09629 | − | 6.42951i | 0.183088 | − | 0.380185i | ||||
\(287\) | 0.477640 | − | 13.3532i | 0.0281942 | − | 0.788215i | ||||
\(288\) | −2.98417 | − | 0.307810i | −0.175844 | − | 0.0181379i | ||||
\(289\) | 12.8934 | + | 6.20912i | 0.758433 | + | 0.365242i | ||||
\(290\) | 2.83254 | + | 12.4102i | 0.166332 | + | 0.728750i | ||||
\(291\) | 0.804507 | + | 13.2140i | 0.0471611 | + | 0.774621i | ||||
\(292\) | 5.11254 | + | 4.07712i | 0.299189 | + | 0.238595i | ||||
\(293\) | 20.1083 | 1.17474 | 0.587369 | − | 0.809320i | \(-0.300164\pi\) | ||||
0.587369 | + | 0.809320i | \(0.300164\pi\) | |||||||
\(294\) | −11.8486 | + | 2.57128i | −0.691022 | + | 0.149960i | ||||
\(295\) | −6.23026 | −0.362740 | ||||||||
\(296\) | −5.61183 | − | 4.47528i | −0.326181 | − | 0.260121i | ||||
\(297\) | −9.07753 | − | 4.85089i | −0.526732 | − | 0.281477i | ||||
\(298\) | 4.91428 | + | 21.5309i | 0.284677 | + | 1.24725i | ||||
\(299\) | −5.16093 | − | 2.48537i | −0.298464 | − | 0.143733i | ||||
\(300\) | 2.81850 | − | 4.01219i | 0.162726 | − | 0.231644i | ||||
\(301\) | −10.8698 | − | 9.32316i | −0.626527 | − | 0.537378i | ||||
\(302\) | −4.77831 | + | 9.92226i | −0.274961 | + | 0.570962i | ||||
\(303\) | 17.0691 | + | 6.97630i | 0.980596 | + | 0.400778i | ||||
\(304\) | 1.44172 | + | 2.99376i | 0.0826884 | + | 0.171704i | ||||
\(305\) | −12.8745 | − | 10.2670i | −0.737190 | − | 0.587889i | ||||
\(306\) | 3.44596 | − | 3.51147i | 0.196992 | − | 0.200737i | ||||
\(307\) | 2.75322 | + | 2.19562i | 0.157135 | + | 0.125311i | 0.698901 | − | 0.715218i | \(-0.253673\pi\) |
−0.541766 | + | 0.840529i | \(0.682244\pi\) | |||||||
\(308\) | 5.23726 | + | 0.187335i | 0.298421 | + | 0.0106744i | ||||
\(309\) | 8.46948 | − | 20.7225i | 0.481812 | − | 1.17886i | ||||
\(310\) | −10.2455 | + | 4.93398i | −0.581907 | + | 0.280231i | ||||
\(311\) | −3.47447 | + | 15.2226i | −0.197019 | + | 0.863197i | 0.775680 | + | 0.631126i | \(0.217407\pi\) |
−0.972699 | + | 0.232070i | \(0.925450\pi\) | |||||||
\(312\) | −5.44726 | + | 3.04416i | −0.308391 | + | 0.172342i | ||||
\(313\) | − | 28.8461i | − | 1.63048i | −0.579124 | − | 0.815239i | \(-0.696605\pi\) | ||
0.579124 | − | 0.815239i | \(-0.303395\pi\) | |||||||
\(314\) | −2.53640 | + | 11.1127i | −0.143137 | + | 0.627125i | ||||
\(315\) | −1.00248 | − | 11.6469i | −0.0564832 | − | 0.656227i | ||||
\(316\) | −1.72134 | − | 7.54169i | −0.0968330 | − | 0.424253i | ||||
\(317\) | 5.65132 | − | 1.28988i | 0.317410 | − | 0.0724467i | −0.0608478 | − | 0.998147i | \(-0.519380\pi\) |
0.378258 | + | 0.925700i | \(0.376523\pi\) | |||||||
\(318\) | 21.3849 | + | 8.74021i | 1.19921 | + | 0.490127i | ||||
\(319\) | 10.6739 | + | 13.3847i | 0.597626 | + | 0.749400i | ||||
\(320\) | 0.327728 | + | 1.43587i | 0.0183205 | + | 0.0802675i | ||||
\(321\) | 0.761370 | − | 0.686876i | 0.0424955 | − | 0.0383377i | ||||
\(322\) | 0.150373 | − | 4.20392i | 0.00837995 | − | 0.234275i | ||||
\(323\) | −5.31266 | − | 1.21258i | −0.295604 | − | 0.0674697i | ||||
\(324\) | 4.05695 | + | 8.03375i | 0.225386 | + | 0.446320i | ||||
\(325\) | − | 10.1990i | − | 0.565737i | ||||||
\(326\) | −13.6120 | − | 3.10685i | −0.753899 | − | 0.172072i | ||||
\(327\) | 12.2307 | − | 17.4107i | 0.676362 | − | 0.962815i | ||||
\(328\) | 3.94846 | − | 3.14879i | 0.218017 | − | 0.173863i | ||||
\(329\) | −11.7650 | − | 3.13169i | −0.648627 | − | 0.172656i | ||||
\(330\) | −0.822922 | + | 4.98538i | −0.0453004 | + | 0.274436i | ||||
\(331\) | −4.47172 | + | 19.5919i | −0.245788 | + | 1.07687i | 0.689863 | + | 0.723940i | \(0.257671\pi\) |
−0.935651 | + | 0.352927i | \(0.885186\pi\) | |||||||
\(332\) | −6.53297 | + | 8.19209i | −0.358543 | + | 0.449599i | ||||
\(333\) | −2.20940 | + | 21.4198i | −0.121074 | + | 1.17380i | ||||
\(334\) | −13.6421 | + | 10.8792i | −0.746461 | + | 0.595283i | ||||
\(335\) | 7.95588 | + | 3.83135i | 0.434676 | + | 0.209329i | ||||
\(336\) | −3.65325 | − | 2.76654i | −0.199301 | − | 0.150927i | ||||
\(337\) | 24.0398 | − | 11.5770i | 1.30953 | − | 0.630638i | 0.356725 | − | 0.934209i | \(-0.383893\pi\) |
0.952809 | + | 0.303571i | \(0.0981790\pi\) | |||||||
\(338\) | 0.00873262 | − | 0.0181335i | 0.000474992 | − | 0.000986330i | ||||
\(339\) | 0.803687 | − | 0.725053i | 0.0436503 | − | 0.0393795i | ||||
\(340\) | −2.17612 | − | 1.04797i | −0.118017 | − | 0.0568339i | ||||
\(341\) | −9.53553 | + | 11.9572i | −0.516378 | + | 0.647517i | ||||
\(342\) | 5.22385 | − | 8.49012i | 0.282473 | − | 0.459093i | ||||
\(343\) | −17.5109 | − | 6.03049i | −0.945502 | − | 0.325616i | ||||
\(344\) | − | 5.41261i | − | 0.291829i | ||||||
\(345\) | 4.00173 | + | 0.660554i | 0.215446 | + | 0.0355630i | ||||
\(346\) | −8.25372 | + | 17.1390i | −0.443723 | + | 0.921400i | ||||
\(347\) | −9.98529 | + | 2.27908i | −0.536039 | + | 0.122347i | −0.481966 | − | 0.876190i | \(-0.660077\pi\) |
−0.0540722 | + | 0.998537i | \(0.517220\pi\) | |||||||
\(348\) | −0.909733 | − | 14.9424i | −0.0487668 | − | 0.800996i | ||||
\(349\) | −10.8458 | − | 22.5216i | −0.580565 | − | 1.20556i | −0.959912 | − | 0.280301i | \(-0.909566\pi\) |
0.379347 | − | 0.925254i | \(-0.376149\pi\) | |||||||
\(350\) | 6.85993 | − | 3.00640i | 0.366678 | − | 0.160699i | ||||
\(351\) | 16.5109 | + | 8.82315i | 0.881285 | + | 0.470945i | ||||
\(352\) | 1.23499 | + | 1.54863i | 0.0658250 | + | 0.0825420i | ||||
\(353\) | −9.49413 | + | 4.57213i | −0.505322 | + | 0.243350i | −0.669134 | − | 0.743141i | \(-0.733335\pi\) |
0.163813 | + | 0.986491i | \(0.447621\pi\) | |||||||
\(354\) | 7.22915 | + | 1.19329i | 0.384225 | + | 0.0634228i | ||||
\(355\) | 12.3838 | + | 2.82652i | 0.657264 | + | 0.150016i | ||||
\(356\) | 5.78822 | − | 7.25820i | 0.306775 | − | 0.384684i | ||||
\(357\) | 7.28260 | − | 1.85531i | 0.385436 | − | 0.0981933i | ||||
\(358\) | −4.28481 | − | 5.37298i | −0.226459 | − | 0.283971i | ||||
\(359\) | −0.0833725 | − | 0.173125i | −0.00440023 | − | 0.00913718i | 0.898757 | − | 0.438447i | \(-0.144471\pi\) |
−0.903157 | + | 0.429310i | \(0.858757\pi\) | |||||||
\(360\) | 3.09471 | − | 3.15355i | 0.163106 | − | 0.166207i | ||||
\(361\) | 7.95881 | 0.418885 | ||||||||
\(362\) | 1.49307 | 0.0784740 | ||||||||
\(363\) | −3.44858 | − | 11.7618i | −0.181003 | − | 0.617336i | ||||
\(364\) | −9.52591 | − | 0.340739i | −0.499293 | − | 0.0178596i | ||||
\(365\) | −9.38942 | + | 2.14307i | −0.491464 | + | 0.112174i | ||||
\(366\) | 12.9721 | + | 14.3790i | 0.678065 | + | 0.751603i | ||||
\(367\) | 5.18683 | − | 4.13636i | 0.270750 | − | 0.215916i | −0.478697 | − | 0.877980i | \(-0.658891\pi\) |
0.749447 | + | 0.662064i | \(0.230319\pi\) | |||||||
\(368\) | 1.24307 | − | 0.991316i | 0.0647996 | − | 0.0516759i | ||||
\(369\) | −14.3471 | − | 4.86912i | −0.746878 | − | 0.253476i | ||||
\(370\) | 10.3064 | − | 2.35236i | 0.535803 | − | 0.122294i | ||||
\(371\) | 21.0020 | + | 28.3590i | 1.09037 | + | 1.47232i | ||||
\(372\) | 12.8332 | − | 3.76270i | 0.665370 | − | 0.195087i | ||||
\(373\) | 27.1844 | 1.40755 | 0.703777 | − | 0.710421i | \(-0.251495\pi\) | ||||
0.703777 | + | 0.710421i | \(0.251495\pi\) | |||||||
\(374\) | −3.24836 | −0.167969 | ||||||||
\(375\) | 5.62043 | + | 19.1692i | 0.290238 | + | 0.989895i | ||||
\(376\) | −1.99656 | − | 4.14590i | −0.102965 | − | 0.213809i | ||||
\(377\) | −19.4145 | − | 24.3451i | −0.999900 | − | 1.25383i | ||||
\(378\) | −1.06755 | + | 13.7062i | −0.0549087 | + | 0.704972i | ||||
\(379\) | 20.9064 | − | 26.2158i | 1.07389 | − | 1.34661i | 0.139555 | − | 0.990214i | \(-0.455433\pi\) |
0.934334 | − | 0.356400i | \(-0.115996\pi\) | |||||||
\(380\) | −4.77114 | − | 1.08898i | −0.244755 | − | 0.0558636i | ||||
\(381\) | −4.56992 | + | 27.6853i | −0.234124 | + | 1.41836i | ||||
\(382\) | −10.3874 | + | 5.00229i | −0.531464 | + | 0.255939i | ||||
\(383\) | −20.8610 | − | 26.1589i | −1.06595 | − | 1.33666i | −0.938681 | − | 0.344787i | \(-0.887951\pi\) |
−0.127266 | − | 0.991869i | \(-0.540620\pi\) | |||||||
\(384\) | −0.105257 | − | 1.72885i | −0.00537138 | − | 0.0882250i | ||||
\(385\) | −5.02495 | + | 5.85857i | −0.256095 | + | 0.298580i | ||||
\(386\) | −7.78296 | − | 16.1615i | −0.396142 | − | 0.822597i | ||||
\(387\) | −13.6670 | + | 8.76812i | −0.694734 | + | 0.445709i | ||||
\(388\) | −7.45163 | + | 1.70079i | −0.378299 | + | 0.0863443i | ||||
\(389\) | −8.84279 | + | 18.3622i | −0.448347 | + | 0.931003i | 0.547223 | + | 0.836987i | \(0.315685\pi\) |
−0.995571 | + | 0.0940161i | \(0.970029\pi\) | |||||||
\(390\) | 1.49679 | − | 9.06777i | 0.0757929 | − | 0.459164i | ||||
\(391\) | 2.60744i | 0.131864i | ||||||||
\(392\) | −2.57882 | − | 6.50766i | −0.130250 | − | 0.328687i | ||||
\(393\) | −2.34614 | + | 1.31112i | −0.118347 | + | 0.0661372i | ||||
\(394\) | 10.0561 | − | 12.6099i | 0.506617 | − | 0.635278i | ||||
\(395\) | 10.2647 | + | 4.94324i | 0.516475 | + | 0.248721i | ||||
\(396\) | 1.90972 | − | 5.62707i | 0.0959670 | − | 0.282771i | ||||
\(397\) | −13.2439 | + | 27.5013i | −0.664694 | + | 1.38025i | 0.246852 | + | 0.969053i | \(0.420604\pi\) |
−0.911546 | + | 0.411198i | \(0.865110\pi\) | |||||||
\(398\) | 5.41486 | − | 2.60766i | 0.271423 | − | 0.130710i | ||||
\(399\) | 13.5493 | − | 6.94840i | 0.678316 | − | 0.347855i | ||||
\(400\) | 2.55053 | + | 1.22827i | 0.127527 | + | 0.0614136i | ||||
\(401\) | −4.76358 | + | 3.79883i | −0.237882 | + | 0.189704i | −0.735174 | − | 0.677879i | \(-0.762899\pi\) |
0.497292 | + | 0.867583i | \(0.334328\pi\) | |||||||
\(402\) | −8.49761 | − | 5.96943i | −0.423822 | − | 0.297728i | ||||
\(403\) | 17.3439 | − | 21.7486i | 0.863961 | − | 1.08337i | ||||
\(404\) | −2.36900 | + | 10.3793i | −0.117862 | + | 0.516388i | ||||
\(405\) | −12.9761 | − | 2.70569i | −0.644786 | − | 0.134447i | ||||
\(406\) | 10.6518 | − | 20.2347i | 0.528641 | − | 1.00423i | ||||
\(407\) | 11.1157 | − | 8.86449i | 0.550986 | − | 0.439396i | ||||
\(408\) | 2.32430 | + | 1.63278i | 0.115070 | + | 0.0808347i | ||||
\(409\) | 28.8491 | + | 6.58462i | 1.42650 | + | 0.325588i | 0.864950 | − | 0.501857i | \(-0.167350\pi\) |
0.561546 | + | 0.827446i | \(0.310207\pi\) | |||||||
\(410\) | 7.43800i | 0.367337i | ||||||||
\(411\) | 6.86611 | + | 12.2863i | 0.338680 | + | 0.606039i | ||||
\(412\) | 12.6008 | + | 2.87605i | 0.620797 | + | 0.141693i | ||||
\(413\) | 8.49533 | + | 7.28652i | 0.418028 | + | 0.358546i | ||||
\(414\) | −4.51681 | − | 1.53292i | −0.221989 | − | 0.0753389i | ||||
\(415\) | −3.43395 | − | 15.0451i | −0.168566 | − | 0.738537i | ||||
\(416\) | −2.24628 | − | 2.81675i | −0.110133 | − | 0.138103i | ||||
\(417\) | 0.842726 | − | 2.06192i | 0.0412685 | − | 0.100973i | ||||
\(418\) | −6.41673 | + | 1.46458i | −0.313852 | + | 0.0716347i | ||||
\(419\) | −0.0633625 | − | 0.277609i | −0.00309546 | − | 0.0135621i | 0.973357 | − | 0.229297i | \(-0.0736426\pi\) |
−0.976452 | + | 0.215734i | \(0.930785\pi\) | |||||||
\(420\) | 6.54029 | − | 1.66620i | 0.319133 | − | 0.0813021i | ||||
\(421\) | −6.94826 | + | 30.4423i | −0.338638 | + | 1.48367i | 0.463269 | + | 0.886218i | \(0.346677\pi\) |
−0.801906 | + | 0.597450i | \(0.796181\pi\) | |||||||
\(422\) | 1.55471i | 0.0756822i | ||||||||
\(423\) | −7.23422 | + | 11.7575i | −0.351740 | + | 0.571669i | ||||
\(424\) | −2.96798 | + | 13.0036i | −0.144138 | + | 0.631510i | ||||
\(425\) | −4.18275 | + | 2.01431i | −0.202893 | + | 0.0977083i | ||||
\(426\) | −13.8279 | − | 5.65159i | −0.669965 | − | 0.273820i | ||||
\(427\) | 5.54740 | + | 29.0569i | 0.268457 | + | 1.40616i | ||||
\(428\) | 0.462864 | + | 0.369122i | 0.0223734 | + | 0.0178422i | ||||
\(429\) | −3.47765 | − | 11.8610i | −0.167902 | − | 0.572654i | ||||
\(430\) | 6.23250 | + | 4.97025i | 0.300558 | + | 0.239687i | ||||
\(431\) | −10.1735 | − | 21.1254i | −0.490038 | − | 1.01757i | −0.988578 | − | 0.150708i | \(-0.951845\pi\) |
0.498540 | − | 0.866866i | \(-0.333870\pi\) | |||||||
\(432\) | −4.19489 | + | 3.06641i | −0.201827 | + | 0.147533i | ||||
\(433\) | 7.20508 | − | 14.9615i | 0.346254 | − | 0.719004i | −0.653011 | − | 0.757349i | \(-0.726494\pi\) |
0.999265 | + | 0.0383451i | \(0.0122086\pi\) | |||||||
\(434\) | 19.7408 | + | 5.25474i | 0.947591 | + | 0.252236i | ||||
\(435\) | 18.0412 | + | 12.6736i | 0.865009 | + | 0.607655i | ||||
\(436\) | 11.0679 | + | 5.33003i | 0.530057 | + | 0.255262i | ||||
\(437\) | 1.17561 | + | 5.15066i | 0.0562368 | + | 0.246390i | ||||
\(438\) | 11.3053 | − | 0.688296i | 0.540187 | − | 0.0328881i | ||||
\(439\) | −5.49252 | − | 4.38014i | −0.262144 | − | 0.209053i | 0.483594 | − | 0.875293i | \(-0.339331\pi\) |
−0.745737 | + | 0.666240i | \(0.767903\pi\) | |||||||
\(440\) | −2.91726 | −0.139075 | ||||||||
\(441\) | −12.2545 | + | 17.0536i | −0.583549 | + | 0.812078i | ||||
\(442\) | 5.90836 | 0.281032 | ||||||||
\(443\) | 3.77559 | + | 3.01093i | 0.179384 | + | 0.143054i | 0.709065 | − | 0.705143i | \(-0.249117\pi\) |
−0.529682 | + | 0.848197i | \(0.677689\pi\) | |||||||
\(444\) | −12.4093 | + | 0.755514i | −0.588921 | + | 0.0358551i | ||||
\(445\) | 3.04249 | + | 13.3300i | 0.144228 | + | 0.631903i | ||||
\(446\) | −15.8023 | − | 7.61000i | −0.748262 | − | 0.360344i | ||||
\(447\) | 31.3004 | + | 21.9880i | 1.48046 | + | 1.04000i | ||||
\(448\) | 1.23243 | − | 2.34118i | 0.0582267 | − | 0.110610i | ||||
\(449\) | −14.3939 | + | 29.8892i | −0.679288 | + | 1.41056i | 0.221005 | + | 0.975273i | \(0.429066\pi\) |
−0.900293 | + | 0.435284i | \(0.856648\pi\) | |||||||
\(450\) | −1.03029 | − | 8.42990i | −0.0485683 | − | 0.397389i | ||||
\(451\) | 4.34031 | + | 9.01274i | 0.204377 | + | 0.424393i | ||||
\(452\) | 0.488590 | + | 0.389638i | 0.0229814 | + | 0.0183270i | ||||
\(453\) | 5.36683 | + | 18.3043i | 0.252156 | + | 0.860011i | ||||
\(454\) | −6.04063 | − | 4.81724i | −0.283501 | − | 0.226084i | ||||
\(455\) | 9.13974 | − | 10.6560i | 0.428477 | − | 0.499560i | ||||
\(456\) | 5.32752 | + | 2.17740i | 0.249484 | + | 0.101966i | ||||
\(457\) | 31.0767 | − | 14.9658i | 1.45371 | − | 0.700069i | 0.470473 | − | 0.882414i | \(-0.344083\pi\) |
0.983234 | + | 0.182346i | \(0.0583691\pi\) | |||||||
\(458\) | 5.79705 | − | 25.3985i | 0.270878 | − | 1.18680i | ||||
\(459\) | 0.357595 | − | 8.51394i | 0.0166911 | − | 0.397397i | ||||
\(460\) | 2.34167i | 0.109181i | ||||||||
\(461\) | −2.25103 | + | 9.86243i | −0.104841 | + | 0.459339i | 0.895069 | + | 0.445928i | \(0.147126\pi\) |
−0.999910 | + | 0.0134112i | \(0.995731\pi\) | |||||||
\(462\) | 6.95269 | − | 5.83542i | 0.323469 | − | 0.271488i | ||||
\(463\) | −4.37095 | − | 19.1504i | −0.203135 | − | 0.889993i | −0.969013 | − | 0.247008i | \(-0.920553\pi\) |
0.765878 | − | 0.642986i | \(-0.222304\pi\) | |||||||
\(464\) | 8.42627 | − | 1.92324i | 0.391180 | − | 0.0892842i | ||||
\(465\) | −7.45170 | + | 18.2323i | −0.345564 | + | 0.845503i | ||||
\(466\) | 9.90434 | + | 12.4197i | 0.458810 | + | 0.575329i | ||||
\(467\) | −5.74667 | − | 25.1778i | −0.265924 | − | 1.16509i | −0.914708 | − | 0.404116i | \(-0.867579\pi\) |
0.648783 | − | 0.760973i | \(-0.275278\pi\) | |||||||
\(468\) | −3.47353 | + | 10.2349i | −0.160564 | + | 0.473109i | ||||
\(469\) | −6.36740 | − | 14.5290i | −0.294019 | − | 0.670885i | ||||
\(470\) | 6.60730 | + | 1.50807i | 0.304772 | + | 0.0695622i | ||||
\(471\) | 9.63117 | + | 17.2342i | 0.443781 | + | 0.794108i | ||||
\(472\) | 4.23023i | 0.194712i | ||||||||
\(473\) | 10.4523 | + | 2.38567i | 0.480598 | + | 0.109693i | ||||
\(474\) | −10.9637 | − | 7.70180i | −0.503579 | − | 0.353756i | ||||
\(475\) | −7.35431 | + | 5.86487i | −0.337439 | + | 0.269099i | ||||
\(476\) | 1.74164 | + | 3.97402i | 0.0798278 | + | 0.182149i | ||||
\(477\) | 37.6424 | − | 13.5708i | 1.72353 | − | 0.621365i | ||||
\(478\) | −5.33746 | + | 23.3849i | −0.244130 | + | 1.06960i | ||||
\(479\) | 7.91703 | − | 9.92765i | 0.361738 | − | 0.453606i | −0.567343 | − | 0.823482i | \(-0.692028\pi\) |
0.929081 | + | 0.369876i | \(0.120600\pi\) | |||||||
\(480\) | 2.08739 | + | 1.46635i | 0.0952757 | + | 0.0669296i | ||||
\(481\) | −20.2181 | + | 16.1234i | −0.921865 | + | 0.735162i | ||||
\(482\) | −0.269952 | − | 0.130002i | −0.0122960 | − | 0.00592143i | ||||
\(483\) | −4.68406 | − | 5.58088i | −0.213132 | − | 0.253939i | ||||
\(484\) | 6.37577 | − | 3.07041i | 0.289808 | − | 0.139564i | ||||
\(485\) | 4.88421 | − | 10.1422i | 0.221780 | − | 0.460532i | ||||
\(486\) | 14.5383 | + | 5.62482i | 0.659470 | + | 0.255147i | ||||
\(487\) | −11.5926 | − | 5.58270i | −0.525311 | − | 0.252976i | 0.152382 | − | 0.988322i | \(-0.451306\pi\) |
−0.677692 | + | 0.735345i | \(0.737020\pi\) | |||||||
\(488\) | −6.97113 | + | 8.74152i | −0.315568 | + | 0.395710i | ||||
\(489\) | −21.1102 | + | 11.7973i | −0.954637 | + | 0.533492i | ||||
\(490\) | 9.86148 | + | 3.00636i | 0.445496 | + | 0.135813i | ||||
\(491\) | 15.2551i | 0.688455i | 0.938886 | + | 0.344227i | \(0.111859\pi\) | ||||
−0.938886 | + | 0.344227i | \(0.888141\pi\) | |||||||
\(492\) | 1.42461 | − | 8.63053i | 0.0642266 | − | 0.389094i | ||||
\(493\) | −6.14989 | + | 12.7704i | −0.276977 | + | 0.575149i | ||||
\(494\) | 11.6712 | − | 2.66388i | 0.525112 | − | 0.119853i | ||||
\(495\) | 4.72580 | + | 7.36618i | 0.212409 | + | 0.331085i | ||||
\(496\) | 3.35008 | + | 6.95652i | 0.150423 | + | 0.312357i | ||||
\(497\) | −13.5803 | − | 18.3375i | −0.609161 | − | 0.822547i | ||||
\(498\) | 1.10289 | + | 18.1150i | 0.0494218 | + | 0.811753i | ||||
\(499\) | 16.3258 | + | 20.4718i | 0.730841 | + | 0.916446i | 0.998897 | − | 0.0469576i | \(-0.0149526\pi\) |
−0.268056 | + | 0.963403i | \(0.586381\pi\) | |||||||
\(500\) | −10.3911 | + | 5.00410i | −0.464705 | + | 0.223790i | ||||
\(501\) | −4.92210 | + | 29.8188i | −0.219903 | + | 1.33221i | ||||
\(502\) | 19.7780 | + | 4.51419i | 0.882733 | + | 0.201478i | ||||
\(503\) | 15.0541 | − | 18.8772i | 0.671227 | − | 0.841692i | −0.323286 | − | 0.946301i | \(-0.604788\pi\) |
0.994513 | + | 0.104609i | \(0.0333592\pi\) | |||||||
\(504\) | −7.90801 | + | 0.680663i | −0.352251 | + | 0.0303191i | ||||
\(505\) | −9.77610 | − | 12.2588i | −0.435031 | − | 0.545511i | ||||
\(506\) | 1.36644 | + | 2.83743i | 0.0607455 | + | 0.126139i | ||||
\(507\) | −0.00980817 | − | 0.0334521i | −0.000435596 | − | 0.00148566i | ||||
\(508\) | −16.2004 | −0.718776 | ||||||||
\(509\) | 4.81385 | 0.213370 | 0.106685 | − | 0.994293i | \(-0.465976\pi\) | ||||
0.106685 | + | 0.994293i | \(0.465976\pi\) | |||||||
\(510\) | −4.01445 | + | 1.17704i | −0.177763 | + | 0.0521202i | ||||
\(511\) | 15.3094 | + | 8.05907i | 0.677249 | + | 0.356512i | ||||
\(512\) | 0.974928 | − | 0.222521i | 0.0430861 | − | 0.00983413i | ||||
\(513\) | −3.13226 | − | 16.9794i | −0.138293 | − | 0.749660i | ||||
\(514\) | −5.54169 | + | 4.41935i | −0.244434 | + | 0.194929i | ||||
\(515\) | −14.8827 | + | 11.8685i | −0.655809 | + | 0.522990i | ||||
\(516\) | −6.27979 | − | 6.96085i | −0.276452 | − | 0.306434i | ||||
\(517\) | 8.88617 | − | 2.02821i | 0.390814 | − | 0.0892006i | ||||
\(518\) | −16.8045 | − | 8.84611i | −0.738348 | − | 0.388676i | ||||
\(519\) | 9.27029 | + | 31.6176i | 0.406921 | + | 1.38786i | ||||
\(520\) | 5.30612 | 0.232689 | ||||||||
\(521\) | 42.7580 | 1.87326 | 0.936632 | − | 0.350316i | \(-0.113926\pi\) | ||||
0.936632 | + | 0.350316i | \(0.113926\pi\) | |||||||
\(522\) | −18.5063 | − | 18.1611i | −0.809999 | − | 0.794888i | ||||
\(523\) | −0.276694 | − | 0.574561i | −0.0120990 | − | 0.0251238i | 0.894832 | − | 0.446403i | \(-0.147295\pi\) |
−0.906931 | + | 0.421280i | \(0.861581\pi\) | |||||||
\(524\) | −0.967474 | − | 1.21317i | −0.0422643 | − | 0.0529977i | ||||
\(525\) | 5.33409 | − | 11.8253i | 0.232799 | − | 0.516100i | ||||
\(526\) | 12.6652 | − | 15.8817i | 0.552230 | − | 0.692475i | ||||
\(527\) | −12.3449 | − | 2.81763i | −0.537751 | − | 0.122738i | ||||
\(528\) | 3.38498 | + | 0.558749i | 0.147312 | + | 0.0243164i | ||||
\(529\) | −18.4447 | + | 8.88250i | −0.801943 | + | 0.386195i | ||||
\(530\) | −12.2479 | − | 15.3584i | −0.532016 | − | 0.667126i | ||||
\(531\) | 10.6815 | − | 6.85273i | 0.463536 | − | 0.297383i | ||||
\(532\) | 5.23213 | + | 7.06492i | 0.226842 | + | 0.306303i | ||||
\(533\) | −7.89446 | − | 16.3930i | −0.341947 | − | 0.710061i | ||||
\(534\) | −0.977163 | − | 16.0499i | −0.0422860 | − | 0.694548i | ||||
\(535\) | −0.850071 | + | 0.194023i | −0.0367518 | + | 0.00838835i | ||||
\(536\) | 2.60142 | − | 5.40189i | 0.112364 | − | 0.233326i | ||||
\(537\) | −11.7443 | − | 1.93859i | −0.506802 | − | 0.0836563i | ||||
\(538\) | − | 30.7443i | − | 1.32548i | ||||||
\(539\) | 13.7036 | − | 2.11163i | 0.590257 | − | 0.0909545i | ||||
\(540\) | 0.321146 | − | 7.64612i | 0.0138199 | − | 0.329037i | ||||
\(541\) | −0.912718 | + | 1.14451i | −0.0392408 | + | 0.0492064i | −0.801065 | − | 0.598578i | \(-0.795733\pi\) |
0.761824 | + | 0.647784i | \(0.224304\pi\) | |||||||
\(542\) | −16.3629 | − | 7.87995i | −0.702846 | − | 0.338473i | ||||
\(543\) | 1.92015 | − | 1.73228i | 0.0824015 | − | 0.0743392i | ||||
\(544\) | −0.711549 | + | 1.47755i | −0.0305074 | + | 0.0633493i | ||||
\(545\) | −16.3008 | + | 7.85004i | −0.698248 | + | 0.336259i | ||||
\(546\) | −12.6461 | + | 10.6139i | −0.541201 | + | 0.454232i | ||||
\(547\) | 13.0829 | + | 6.30038i | 0.559383 | + | 0.269385i | 0.692139 | − | 0.721764i | \(-0.256668\pi\) |
−0.132756 | + | 0.991149i | \(0.542383\pi\) | |||||||
\(548\) | −6.35318 | + | 5.06649i | −0.271394 | + | 0.216430i | ||||
\(549\) | 33.3655 | + | 3.44157i | 1.42400 | + | 0.146882i | ||||
\(550\) | −3.49610 | + | 4.38397i | −0.149074 | + | 0.186933i | ||||
\(551\) | −6.39060 | + | 27.9990i | −0.272249 | + | 1.19280i | ||||
\(552\) | 0.448504 | − | 2.71710i | 0.0190896 | − | 0.115648i | ||||
\(553\) | −8.21527 | − | 18.7454i | −0.349349 | − | 0.797135i | ||||
\(554\) | −10.4398 | + | 8.32548i | −0.443546 | + | 0.353716i | ||||
\(555\) | 10.5252 | − | 14.9828i | 0.446770 | − | 0.635986i | ||||
\(556\) | 1.25380 | + | 0.286171i | 0.0531729 | + | 0.0121364i | ||||
\(557\) | 3.96586i | 0.168039i | 0.996464 | + | 0.0840194i | \(0.0267758\pi\) | ||||
−0.996464 | + | 0.0840194i | \(0.973224\pi\) | |||||||
\(558\) | 12.1385 | − | 19.7282i | 0.513863 | − | 0.835162i | ||||
\(559\) | −19.0114 | − | 4.33924i | −0.804098 | − | 0.183530i | ||||
\(560\) | 1.56411 | + | 3.56895i | 0.0660958 | + | 0.150816i | ||||
\(561\) | −4.17753 | + | 3.76879i | −0.176376 | + | 0.159119i | ||||
\(562\) | −4.74268 | − | 20.7790i | −0.200058 | − | 0.876511i | ||||
\(563\) | −7.40300 | − | 9.28307i | −0.311999 | − | 0.391235i | 0.600964 | − | 0.799276i | \(-0.294783\pi\) |
−0.912963 | + | 0.408041i | \(0.866212\pi\) | |||||||
\(564\) | −7.37779 | − | 3.01537i | −0.310661 | − | 0.126970i | ||||
\(565\) | −0.897318 | + | 0.204807i | −0.0377505 | + | 0.00861629i | ||||
\(566\) | −2.89451 | − | 12.6817i | −0.121665 | − | 0.533051i | ||||
\(567\) | 14.5292 | + | 18.8654i | 0.610170 | + | 0.792270i | ||||
\(568\) | 1.91916 | − | 8.40837i | 0.0805260 | − | 0.352808i | ||||
\(569\) | 19.5090i | 0.817860i | 0.912566 | + | 0.408930i | \(0.134098\pi\) | ||||
−0.912566 | + | 0.408930i | \(0.865902\pi\) | |||||||
\(570\) | −7.39935 | + | 4.13507i | −0.309924 | + | 0.173199i | ||||
\(571\) | 4.36755 | − | 19.1355i | 0.182776 | − | 0.800796i | −0.797524 | − | 0.603287i | \(-0.793858\pi\) |
0.980301 | − | 0.197510i | \(-0.0632853\pi\) | |||||||
\(572\) | 6.42951 | − | 3.09629i | 0.268831 | − | 0.129462i | ||||
\(573\) | −7.55486 | + | 18.4847i | −0.315609 | + | 0.772210i | ||||
\(574\) | 8.69902 | − | 10.1422i | 0.363090 | − | 0.423325i | ||||
\(575\) | 3.51898 | + | 2.80629i | 0.146752 | + | 0.117031i | ||||
\(576\) | −2.14120 | − | 2.10125i | −0.0892166 | − | 0.0875522i | ||||
\(577\) | 5.80128 | + | 4.62636i | 0.241510 | + | 0.192598i | 0.736763 | − | 0.676151i | \(-0.236353\pi\) |
−0.495253 | + | 0.868749i | \(0.664925\pi\) | |||||||
\(578\) | 6.20912 | + | 12.8934i | 0.258265 | + | 0.536293i | ||||
\(579\) | −28.7600 | − | 11.7544i | −1.19522 | − | 0.488498i | ||||
\(580\) | −5.52304 | + | 11.4687i | −0.229332 | + | 0.476212i | ||||
\(581\) | −12.9135 | + | 24.5311i | −0.535740 | + | 1.01772i | ||||
\(582\) | −7.60983 | + | 10.8328i | −0.315438 | + | 0.449032i | ||||
\(583\) | −23.8031 | − | 11.4630i | −0.985824 | − | 0.474748i | ||||
\(584\) | 1.45511 | + | 6.37524i | 0.0602127 | + | 0.263809i | ||||
\(585\) | −8.59562 | − | 13.3981i | −0.355385 | − | 0.553945i | ||||
\(586\) | 15.7213 | + | 12.5373i | 0.649440 | + | 0.517911i | ||||
\(587\) | 37.2173 | 1.53612 | 0.768062 | − | 0.640376i | \(-0.221221\pi\) | ||||
0.768062 | + | 0.640376i | \(0.221221\pi\) | |||||||
\(588\) | −10.8667 | − | 5.37715i | −0.448137 | − | 0.221750i | ||||
\(589\) | −25.6561 | −1.05714 | ||||||||
\(590\) | −4.87101 | − | 3.88450i | −0.200536 | − | 0.159922i | ||||
\(591\) | −1.69766 | − | 27.8840i | −0.0698323 | − | 1.14700i | ||||
\(592\) | −1.59721 | − | 6.99784i | −0.0656449 | − | 0.287609i | ||||
\(593\) | −22.9742 | − | 11.0638i | −0.943439 | − | 0.454336i | −0.102058 | − | 0.994778i | \(-0.532543\pi\) |
−0.841381 | + | 0.540442i | \(0.818257\pi\) | |||||||
\(594\) | −4.07262 | − | 9.45233i | −0.167102 | − | 0.387834i | ||||
\(595\) | −6.17529 | − | 1.64378i | −0.253162 | − | 0.0673883i | ||||
\(596\) | −9.58214 | + | 19.8975i | −0.392500 | + | 0.815034i | ||||
\(597\) | 3.93830 | − | 9.63596i | 0.161184 | − | 0.394374i | ||||
\(598\) | −2.48537 | − | 5.16093i | −0.101634 | − | 0.211046i | ||||
\(599\) | −17.3102 | − | 13.8044i | −0.707274 | − | 0.564032i | 0.202426 | − | 0.979298i | \(-0.435117\pi\) |
−0.909700 | + | 0.415265i | \(0.863689\pi\) | |||||||
\(600\) | 4.70515 | − | 1.37955i | 0.192087 | − | 0.0563200i | ||||
\(601\) | −26.0877 | − | 20.8043i | −1.06414 | − | 0.848624i | −0.0752342 | − | 0.997166i | \(-0.523970\pi\) |
−0.988906 | + | 0.148542i | \(0.952542\pi\) | |||||||
\(602\) | −2.68548 | − | 14.0664i | −0.109452 | − | 0.573303i | ||||
\(603\) | −17.8541 | + | 2.18210i | −0.727075 | + | 0.0888620i | ||||
\(604\) | −9.92226 | + | 4.77831i | −0.403731 | + | 0.194427i | ||||
\(605\) | −2.31919 | + | 10.1610i | −0.0942883 | + | 0.413104i | ||||
\(606\) | 8.99553 | + | 16.0967i | 0.365418 | + | 0.653885i | ||||
\(607\) | − | 41.6265i | − | 1.68957i | −0.535109 | − | 0.844783i | \(-0.679729\pi\) | ||
0.535109 | − | 0.844783i | \(-0.320271\pi\) | |||||||
\(608\) | −0.739399 | + | 3.23952i | −0.0299866 | + | 0.131380i | ||||
\(609\) | −9.77793 | − | 38.3811i | −0.396222 | − | 1.55528i | ||||
\(610\) | −3.66427 | − | 16.0542i | −0.148362 | − | 0.650015i | ||||
\(611\) | −16.1628 | + | 3.68906i | −0.653877 | + | 0.149243i | ||||
\(612\) | 4.88352 | − | 0.596857i | 0.197405 | − | 0.0241265i | ||||
\(613\) | −10.0676 | − | 12.6244i | −0.406628 | − | 0.509895i | 0.535782 | − | 0.844357i | \(-0.320017\pi\) |
−0.942409 | + | 0.334461i | \(0.891446\pi\) | |||||||
\(614\) | 0.783608 | + | 3.43321i | 0.0316239 | + | 0.138553i | ||||
\(615\) | 8.62967 | + | 9.56558i | 0.347982 | + | 0.385722i | ||||
\(616\) | 3.97786 | + | 3.41185i | 0.160272 | + | 0.137467i | ||||
\(617\) | −24.1397 | − | 5.50972i | −0.971826 | − | 0.221813i | −0.293000 | − | 0.956112i | \(-0.594654\pi\) |
−0.678826 | + | 0.734299i | \(0.737511\pi\) | |||||||
\(618\) | 19.5420 | − | 10.9209i | 0.786094 | − | 0.439303i | ||||
\(619\) | 38.4042i | 1.54359i | 0.635868 | + | 0.771797i | \(0.280642\pi\) | ||||
−0.635868 | + | 0.771797i | \(0.719358\pi\) | |||||||
\(620\) | −11.0866 | − | 2.53044i | −0.445247 | − | 0.101625i | ||||
\(621\) | −7.58732 | + | 3.26906i | −0.304469 | + | 0.131183i | ||||
\(622\) | −12.2076 | + | 9.73524i | −0.489481 | + | 0.390348i | ||||
\(623\) | 11.4413 | − | 21.7345i | 0.458387 | − | 0.870776i | ||||
\(624\) | −6.15685 | − | 1.01629i | −0.246471 | − | 0.0406842i | ||||
\(625\) | 0.630126 | − | 2.76076i | 0.0252050 | − | 0.110430i | ||||
\(626\) | 17.9853 | − | 22.5528i | 0.718835 | − | 0.901391i | ||||
\(627\) | −6.55296 | + | 9.32828i | −0.261700 | + | 0.372536i | ||||
\(628\) | −8.91168 | + | 7.10683i | −0.355615 | + | 0.283593i | ||||
\(629\) | 10.6055 | + | 5.10736i | 0.422870 | + | 0.203644i | ||||
\(630\) | 6.47794 | − | 9.73093i | 0.258087 | − | 0.387690i | ||||
\(631\) | −24.2383 | + | 11.6725i | −0.964910 | + | 0.464676i | −0.848889 | − | 0.528571i | \(-0.822728\pi\) |
−0.116021 | + | 0.993247i | \(0.537014\pi\) | |||||||
\(632\) | 3.35637 | − | 6.96957i | 0.133509 | − | 0.277234i | ||||
\(633\) | 1.80380 | + | 1.99943i | 0.0716945 | + | 0.0794700i | ||||
\(634\) | 5.22261 | + | 2.51508i | 0.207416 | + | 0.0998864i | ||||
\(635\) | 14.8764 | − | 18.6544i | 0.590351 | − | 0.740276i | ||||
\(636\) | 11.2700 | + | 20.1667i | 0.446884 | + | 0.799660i | ||||
\(637\) | −24.9251 | + | 3.84079i | −0.987570 | + | 0.152178i | ||||
\(638\) | 17.1197i | 0.677775i | ||||||||
\(639\) | −24.3403 | + | 8.77515i | −0.962889 | + | 0.347140i | ||||
\(640\) | −0.639022 | + | 1.32694i | −0.0252595 | + | 0.0524520i | ||||
\(641\) | −15.5718 | + | 3.55415i | −0.615048 | + | 0.140381i | −0.518685 | − | 0.854966i | \(-0.673578\pi\) |
−0.0963630 | + | 0.995346i | \(0.530721\pi\) | |||||||
\(642\) | 1.02352 | − | 0.0623149i | 0.0403952 | − | 0.00245937i | ||||
\(643\) | 5.40512 | + | 11.2238i | 0.213157 | + | 0.442625i | 0.979943 | − | 0.199278i | \(-0.0638596\pi\) |
−0.766786 | + | 0.641903i | \(0.778145\pi\) | |||||||
\(644\) | 2.73867 | − | 3.19300i | 0.107919 | − | 0.125822i | ||||
\(645\) | 13.7818 | − | 0.839075i | 0.542659 | − | 0.0330385i | ||||
\(646\) | −3.39757 | − | 4.26042i | −0.133676 | − | 0.167624i | ||||
\(647\) | −25.4627 | + | 12.2622i | −1.00104 | + | 0.482076i | −0.861291 | − | 0.508111i | \(-0.830344\pi\) |
−0.139749 | + | 0.990187i | \(0.544630\pi\) | |||||||
\(648\) | −1.83711 | + | 8.81051i | −0.0721685 | + | 0.346109i | ||||
\(649\) | −8.16901 | − | 1.86452i | −0.320662 | − | 0.0731890i | ||||
\(650\) | 6.35895 | − | 7.97387i | 0.249419 | − | 0.312761i | ||||
\(651\) | 31.4842 | − | 16.1458i | 1.23396 | − | 0.632803i | ||||
\(652\) | −8.70520 | − | 10.9160i | −0.340922 | − | 0.427503i | ||||
\(653\) | −11.1422 | − | 23.1371i | −0.436029 | − | 0.905423i | −0.996986 | − | 0.0775784i | \(-0.975281\pi\) |
0.560958 | − | 0.827845i | \(-0.310433\pi\) | |||||||
\(654\) | 20.4178 | − | 5.98651i | 0.798399 | − | 0.234091i | ||||
\(655\) | 2.28535 | 0.0892958 | ||||||||
\(656\) | 5.05026 | 0.197180 | ||||||||
\(657\) | 13.7405 | − | 14.0017i | 0.536068 | − | 0.546259i | ||||
\(658\) | −7.24569 | − | 9.78383i | −0.282466 | − | 0.381413i | ||||
\(659\) | 42.0342 | − | 9.59404i | 1.63742 | − | 0.373731i | 0.697893 | − | 0.716202i | \(-0.254121\pi\) |
0.939528 | + | 0.342471i | \(0.111264\pi\) | |||||||
\(660\) | −3.75172 | + | 3.38465i | −0.146036 | + | 0.131747i | ||||
\(661\) | −2.96279 | + | 2.36275i | −0.115239 | + | 0.0919003i | −0.679414 | − | 0.733755i | \(-0.737766\pi\) |
0.564175 | + | 0.825655i | \(0.309194\pi\) | |||||||
\(662\) | −15.7115 | + | 12.5295i | −0.610643 | + | 0.486972i | ||||
\(663\) | 7.59840 | − | 6.85495i | 0.295097 | − | 0.266224i | ||||
\(664\) | −10.2154 | + | 2.33159i | −0.396433 | + | 0.0904833i | ||||
\(665\) | −12.9396 | − | 0.462846i | −0.501777 | − | 0.0179484i | ||||
\(666\) | −15.0824 | + | 15.3691i | −0.584430 | + | 0.595541i | ||||
\(667\) | 13.7419 | 0.532087 | ||||||||
\(668\) | −17.4489 | −0.675117 | ||||||||
\(669\) | −29.1517 | + | 8.54729i | −1.12707 | + | 0.330457i | ||||
\(670\) | 3.83135 | + | 7.95588i | 0.148018 | + | 0.307362i | ||||
\(671\) | −13.8082 | − | 17.3149i | −0.533059 | − | 0.668435i | ||||
\(672\) | −1.13132 | − | 4.44073i | −0.0436415 | − | 0.171305i | ||||
\(673\) | −3.29085 | + | 4.12659i | −0.126853 | + | 0.159068i | −0.841202 | − | 0.540721i | \(-0.818151\pi\) |
0.714349 | + | 0.699790i | \(0.246723\pi\) | |||||||
\(674\) | 26.0132 | + | 5.93735i | 1.00199 | + | 0.228698i | ||||
\(675\) | −11.1055 | − | 9.64585i | −0.427450 | − | 0.371269i | ||||
\(676\) | 0.0181335 | − | 0.00873262i | 0.000697441 | − | 0.000335870i | ||||
\(677\) | 23.5791 | + | 29.5673i | 0.906220 | + | 1.13636i | 0.990167 | + | 0.139894i | \(0.0446761\pi\) |
−0.0839465 | + | 0.996470i | \(0.526752\pi\) | |||||||
\(678\) | 1.08041 | − | 0.0657784i | 0.0414929 | − | 0.00252620i | ||||
\(679\) | −18.5215 | + | 8.11717i | −0.710792 | + | 0.311508i | ||||
\(680\) | −1.04797 | − | 2.17612i | −0.0401876 | − | 0.0834505i | ||||
\(681\) | −13.3575 | + | 0.813243i | −0.511862 | + | 0.0311635i | ||||
\(682\) | −14.9103 | + | 3.40319i | −0.570947 | + | 0.130315i | ||||
\(683\) | 5.43653 | − | 11.2891i | 0.208023 | − | 0.431964i | −0.770687 | − | 0.637214i | \(-0.780087\pi\) |
0.978710 | + | 0.205250i | \(0.0658008\pi\) | |||||||
\(684\) | 9.37767 | − | 3.38083i | 0.358564 | − | 0.129269i | ||||
\(685\) | − | 11.9680i | − | 0.457272i | ||||||
\(686\) | −9.93066 | − | 15.6327i | −0.379154 | − | 0.596860i | ||||
\(687\) | −22.0125 | − | 39.3894i | −0.839828 | − | 1.50280i | ||||
\(688\) | 3.37471 | − | 4.23175i | 0.128660 | − | 0.161334i | ||||
\(689\) | 43.2948 | + | 20.8497i | 1.64940 | + | 0.794309i | ||||
\(690\) | 2.71683 | + | 3.01148i | 0.103428 | + | 0.114645i | ||||
\(691\) | −15.5152 | + | 32.2176i | −0.590226 | + | 1.22562i | 0.365350 | + | 0.930870i | \(0.380949\pi\) |
−0.955576 | + | 0.294746i | \(0.904765\pi\) | |||||||
\(692\) | −17.1390 | + | 8.25372i | −0.651528 | + | 0.313759i | ||||
\(693\) | 2.17112 | − | 15.5712i | 0.0824740 | − | 0.591501i | ||||
\(694\) | −9.22780 | − | 4.44387i | −0.350282 | − | 0.168687i | ||||
\(695\) | −1.48085 | + | 1.18094i | −0.0561718 | + | 0.0447955i | ||||
\(696\) | 8.60516 | − | 12.2496i | 0.326178 | − | 0.464321i | ||||
\(697\) | −5.16387 | + | 6.47528i | −0.195595 | + | 0.245269i | ||||
\(698\) | 5.56238 | − | 24.3704i | 0.210539 | − | 0.922433i | ||||
\(699\) | 27.1468 | + | 4.48105i | 1.02679 | + | 0.169489i | ||||
\(700\) | 7.23777 | + | 1.92659i | 0.273562 | + | 0.0728184i | ||||
\(701\) | 28.5995 | − | 22.8073i | 1.08019 | − | 0.861422i | 0.0892864 | − | 0.996006i | \(-0.471541\pi\) |
0.990902 | + | 0.134584i | \(0.0429699\pi\) | |||||||
\(702\) | 7.40757 | + | 17.1926i | 0.279581 | + | 0.648892i | ||||
\(703\) | 23.2526 | + | 5.30726i | 0.876989 | + | 0.200167i | ||||
\(704\) | 1.98077i | 0.0746529i | ||||||||
\(705\) | 10.2470 | − | 5.72643i | 0.385922 | − | 0.215670i | ||||
\(706\) | −10.2735 | − | 2.34486i | −0.386648 | − | 0.0882498i | ||||
\(707\) | −1.00689 | + | 28.1492i | −0.0378679 | + | 1.05866i | ||||
\(708\) | 4.90797 | + | 5.44026i | 0.184453 | + | 0.204457i | ||||
\(709\) | 4.50433 | + | 19.7348i | 0.169164 | + | 0.741155i | 0.986334 | + | 0.164759i | \(0.0526845\pi\) |
−0.817170 | + | 0.576397i | \(0.804458\pi\) | |||||||
\(710\) | 7.91974 | + | 9.93104i | 0.297223 | + | 0.372705i | ||||
\(711\) | −23.0355 | + | 2.81536i | −0.863899 | + | 0.105584i | ||||
\(712\) | 9.05082 | − | 2.06579i | 0.339194 | − | 0.0774188i | ||||
\(713\) | 2.73172 | + | 11.9684i | 0.102304 | + | 0.448222i | ||||
\(714\) | 6.85053 | + | 3.09009i | 0.256375 | + | 0.115644i | ||||
\(715\) | −2.33874 | + | 10.2467i | −0.0874638 | + | 0.383204i | ||||
\(716\) | − | 6.87230i | − | 0.256830i | ||||||
\(717\) | 20.2673 | + | 36.2666i | 0.756896 | + | 1.35440i | ||||
\(718\) | 0.0427583 | − | 0.187336i | 0.00159573 | − | 0.00699133i | ||||
\(719\) | 20.8376 | − | 10.0349i | 0.777113 | − | 0.374238i | −0.00290427 | − | 0.999996i | \(-0.500924\pi\) |
0.780017 | + | 0.625758i | \(0.215210\pi\) | |||||||
\(720\) | 4.38575 | − | 0.536020i | 0.163447 | − | 0.0199763i | ||||
\(721\) | 34.1741 | + | 1.22240i | 1.27271 | + | 0.0455244i | ||||
\(722\) | 6.22245 | + | 4.96224i | 0.231576 | + | 0.184675i | ||||
\(723\) | −0.497999 | + | 0.146014i | −0.0185208 | + | 0.00543031i | ||||
\(724\) | 1.16733 | + | 0.930913i | 0.0433834 | + | 0.0345971i | ||||
\(725\) | 10.6159 | + | 22.0441i | 0.394265 | + | 0.818699i | ||||
\(726\) | 4.63718 | − | 11.3459i | 0.172102 | − | 0.421087i | ||||
\(727\) | −3.91958 | + | 8.13909i | −0.145369 | + | 0.301862i | −0.960921 | − | 0.276821i | \(-0.910719\pi\) |
0.815552 | + | 0.578683i | \(0.196433\pi\) | |||||||
\(728\) | −7.23521 | − | 6.20571i | −0.268155 | − | 0.229999i | ||||
\(729\) | 25.2228 | − | 9.63375i | 0.934179 | − | 0.356806i | ||||
\(730\) | −8.67712 | − | 4.17868i | −0.321155 | − | 0.154660i | ||||
\(731\) | 1.97519 | + | 8.65388i | 0.0730551 | + | 0.320075i | ||||
\(732\) | 1.17686 | + | 19.3300i | 0.0434981 | + | 0.714456i | ||||
\(733\) | 13.9674 | + | 11.1386i | 0.515898 | + | 0.411415i | 0.846527 | − | 0.532346i | \(-0.178689\pi\) |
−0.330629 | + | 0.943761i | \(0.607261\pi\) | |||||||
\(734\) | 6.63420 | 0.244873 | ||||||||
\(735\) | 16.1703 | − | 7.57512i | 0.596451 | − | 0.279413i | ||||
\(736\) | 1.58995 | 0.0586063 | ||||||||
\(737\) | 9.28501 | + | 7.40455i | 0.342018 | + | 0.272750i | ||||
\(738\) | −8.18114 | − | 12.7521i | −0.301152 | − | 0.469410i | ||||
\(739\) | −8.86061 | − | 38.8209i | −0.325943 | − | 1.42805i | −0.826789 | − | 0.562512i | \(-0.809835\pi\) |
0.500846 | − | 0.865536i | \(-0.333022\pi\) | |||||||
\(740\) | 9.52452 | + | 4.58677i | 0.350128 | + | 0.168613i | ||||
\(741\) | 11.9190 | − | 16.9669i | 0.437855 | − | 0.623296i | ||||
\(742\) | −1.26147 | + | 35.2665i | −0.0463101 | + | 1.29467i | ||||
\(743\) | −6.46787 | + | 13.4307i | −0.237283 | + | 0.492724i | −0.985273 | − | 0.170986i | \(-0.945305\pi\) |
0.747990 | + | 0.663710i | \(0.231019\pi\) | |||||||
\(744\) | 12.3794 | + | 5.05957i | 0.453851 | + | 0.185493i | ||||
\(745\) | −14.1125 | − | 29.3050i | −0.517043 | − | 1.07365i | ||||
\(746\) | 21.2536 | + | 16.9492i | 0.778150 | + | 0.620554i | ||||
\(747\) | 22.4356 | + | 22.0171i | 0.820877 | + | 0.805563i | ||||
\(748\) | −2.53967 | − | 2.02532i | −0.0928596 | − | 0.0740531i | ||||
\(749\) | 1.38604 | + | 0.729628i | 0.0506448 | + | 0.0266600i | ||||
\(750\) | −7.55760 | + | 18.4914i | −0.275964 | + | 0.675210i | ||||
\(751\) | −20.4618 | + | 9.85389i | −0.746662 | + | 0.359574i | −0.768213 | − | 0.640194i | \(-0.778854\pi\) |
0.0215509 | + | 0.999768i | \(0.493140\pi\) | |||||||
\(752\) | 1.02395 | − | 4.48623i | 0.0373397 | − | 0.163596i | ||||
\(753\) | 30.6727 | − | 17.1412i | 1.11778 | − | 0.624661i | ||||
\(754\) | − | 31.1385i | − | 1.13400i | ||||||
\(755\) | 3.60922 | − | 15.8130i | 0.131353 | − | 0.575495i | ||||
\(756\) | −9.38033 | + | 10.0503i | −0.341159 | + | 0.365528i | ||||
\(757\) | −0.545100 | − | 2.38824i | −0.0198120 | − | 0.0868020i | 0.964055 | − | 0.265701i | \(-0.0856035\pi\) |
−0.983867 | + | 0.178899i | \(0.942746\pi\) | |||||||
\(758\) | 32.6905 | − | 7.46140i | 1.18737 | − | 0.271010i | ||||
\(759\) | 5.04932 | + | 2.06370i | 0.183279 | + | 0.0749077i | ||||
\(760\) | −3.05126 | − | 3.82616i | −0.110681 | − | 0.138789i | ||||
\(761\) | 2.12786 | + | 9.32276i | 0.0771348 | + | 0.337950i | 0.998740 | − | 0.0501783i | \(-0.0159790\pi\) |
−0.921605 | + | 0.388128i | \(0.873122\pi\) | |||||||
\(762\) | −20.8344 | + | 18.7959i | −0.754750 | + | 0.680904i | ||||
\(763\) | 31.4080 | + | 8.36037i | 1.13704 | + | 0.302666i | ||||
\(764\) | −11.2400 | − | 2.56547i | −0.406651 | − | 0.0928153i | ||||
\(765\) | −3.79714 | + | 6.17134i | −0.137286 | + | 0.223125i | ||||
\(766\) | − | 33.4584i | − | 1.20890i | ||||||
\(767\) | 14.8584 | + | 3.39133i | 0.536505 | + | 0.122454i | ||||
\(768\) | 0.995627 | − | 1.41730i | 0.0359266 | − | 0.0511423i | ||||
\(769\) | 17.8134 | − | 14.2058i | 0.642369 | − | 0.512272i | −0.247264 | − | 0.968948i | \(-0.579531\pi\) |
0.889633 | + | 0.456676i | \(0.150960\pi\) | |||||||
\(770\) | −7.58142 | + | 1.44741i | −0.273215 | + | 0.0521609i | ||||
\(771\) | −1.99946 | + | 12.1130i | −0.0720088 | + | 0.436240i | ||||
\(772\) | 3.99155 | − | 17.4881i | 0.143659 | − | 0.629412i | ||||
\(773\) | 5.03713 | − | 6.31636i | 0.181173 | − | 0.227184i | −0.682949 | − | 0.730466i | \(-0.739303\pi\) |
0.864122 | + | 0.503282i | \(0.167874\pi\) | |||||||
\(774\) | −16.1521 | − | 1.66606i | −0.580577 | − | 0.0598851i | ||||
\(775\) | −17.0890 | + | 13.6280i | −0.613854 | + | 0.489533i | ||||
\(776\) | −6.88634 | − | 3.31629i | −0.247205 | − | 0.119048i | ||||
\(777\) | −31.8747 | + | 8.12037i | −1.14350 | + | 0.291317i | ||||
\(778\) | −18.3622 | + | 8.84279i | −0.658318 | + | 0.317029i | ||||
\(779\) | −7.28107 | + | 15.1193i | −0.260871 | + | 0.541705i | ||||
\(780\) | 6.82390 | − | 6.15624i | 0.244335 | − | 0.220429i | ||||
\(781\) | 15.3916 | + | 7.41218i | 0.550753 | + | 0.265229i | ||||
\(782\) | −1.62571 | + | 2.03858i | −0.0581354 | + | 0.0728994i | ||||
\(783\) | −44.8706 | − | 1.88461i | −1.60354 | − | 0.0673506i | ||||
\(784\) | 2.04126 | − | 6.69576i | 0.0729022 | − | 0.239134i | ||||
\(785\) | − | 16.7876i | − | 0.599175i | ||||||
\(786\) | −2.65175 | − | 0.437717i | −0.0945849 | − | 0.0156128i | ||||
\(787\) | −6.67729 | + | 13.8655i | −0.238020 | + | 0.494253i | −0.985424 | − | 0.170117i | \(-0.945586\pi\) |
0.747404 | + | 0.664370i | \(0.231300\pi\) | |||||||
\(788\) | 15.7243 | − | 3.58897i | 0.560155 | − | 0.127852i | ||||
\(789\) | −2.13813 | − | 35.1189i | −0.0761196 | − | 1.25027i | ||||
\(790\) | 4.94324 | + | 10.2647i | 0.175872 | + | 0.365203i | ||||
\(791\) | 1.46308 | + | 0.770180i | 0.0520210 | + | 0.0273845i | ||||
\(792\) | 5.00150 | − | 3.20873i | 0.177720 | − | 0.114017i | ||||
\(793\) | 25.1153 | + | 31.4936i | 0.891871 | + | 1.11837i | ||||
\(794\) | −27.5013 | + | 13.2439i | −0.975985 | + | 0.470010i | ||||
\(795\) | −33.5704 | − | 5.54136i | −1.19062 | − | 0.196532i | ||||
\(796\) | 5.85936 | + | 1.33736i | 0.207680 | + | 0.0474015i | ||||
\(797\) | −12.0683 | + | 15.1332i | −0.427483 | + | 0.536046i | −0.948196 | − | 0.317685i | \(-0.897095\pi\) |
0.520714 | + | 0.853731i | \(0.325666\pi\) | |||||||
\(798\) | 14.9256 | + | 3.01540i | 0.528359 | + | 0.106744i | ||||
\(799\) | 4.70511 | + | 5.90002i | 0.166455 | + | 0.208728i | ||||
\(800\) | 1.22827 | + | 2.55053i | 0.0434259 | + | 0.0901749i | ||||
\(801\) | −19.8780 | − | 19.5072i | −0.702355 | − | 0.689251i | ||||
\(802\) | −6.09285 | −0.215146 | ||||||||
\(803\) | −12.9526 | −0.457087 | ||||||||
\(804\) | −2.92182 | − | 9.96526i | −0.103045 | − | 0.351448i | ||||
\(805\) | 1.16182 | + | 6.08556i | 0.0409489 | + | 0.214488i | ||||
\(806\) | 27.1200 | − | 6.18997i | 0.955262 | − | 0.218032i | ||||
\(807\) | −35.6699 | − | 39.5384i | −1.25564 | − | 1.39182i | ||||
\(808\) | −8.32353 | + | 6.63779i | −0.292821 | + | 0.233517i | ||||
\(809\) | 18.8643 | − | 15.0437i | 0.663232 | − | 0.528910i | −0.233010 | − | 0.972474i | \(-0.574858\pi\) |
0.896243 | + | 0.443564i | \(0.146286\pi\) | |||||||
\(810\) | −8.45813 | − | 10.2058i | −0.297188 | − | 0.358597i | ||||
\(811\) | −3.76413 | + | 0.859138i | −0.132176 | + | 0.0301684i | −0.288097 | − | 0.957601i | \(-0.593023\pi\) |
0.155921 | + | 0.987770i | \(0.450166\pi\) | |||||||
\(812\) | 20.9441 | − | 9.17886i | 0.734993 | − | 0.322115i | ||||
\(813\) | −30.1858 | + | 8.85048i | −1.05866 | + | 0.310400i | ||||
\(814\) | 14.2175 | 0.498324 | ||||||||
\(815\) | 20.5632 | 0.720299 | ||||||||
\(816\) | 0.799187 | + | 2.72574i | 0.0279772 | + | 0.0954199i | ||||
\(817\) | 7.80348 | + | 16.2041i | 0.273009 | + | 0.566910i | ||||
\(818\) | 18.4497 | + | 23.1352i | 0.645078 | + | 0.808902i | ||||
\(819\) | −3.94899 | + | 28.3220i | −0.137989 | + | 0.989652i | ||||
\(820\) | −4.63752 | + | 5.81526i | −0.161949 | + | 0.203078i | ||||
\(821\) | −40.1775 | − | 9.17025i | −1.40220 | − | 0.320044i | −0.546478 | − | 0.837474i | \(-0.684032\pi\) |
−0.855726 | + | 0.517430i | \(0.826889\pi\) | |||||||
\(822\) | −2.29225 | + | 13.8868i | −0.0799513 | + | 0.484357i | ||||
\(823\) | 10.6440 | − | 5.12586i | 0.371025 | − | 0.178676i | −0.239074 | − | 0.971001i | \(-0.576844\pi\) |
0.610099 | + | 0.792325i | \(0.291130\pi\) | |||||||
\(824\) | 8.05851 | + | 10.1051i | 0.280732 | + | 0.352026i | ||||
\(825\) | 0.590208 | + | 9.69418i | 0.0205484 | + | 0.337508i | ||||
\(826\) | 2.09884 | + | 10.9936i | 0.0730280 | + | 0.382516i | ||||
\(827\) | −10.4845 | − | 21.7713i | −0.364581 | − | 0.757061i | 0.635303 | − | 0.772263i | \(-0.280875\pi\) |
−0.999884 | + | 0.0152021i | \(0.995161\pi\) | |||||||
\(828\) | −2.57562 | − | 4.01467i | −0.0895091 | − | 0.139519i | ||||
\(829\) | 19.3498 | − | 4.41646i | 0.672045 | − | 0.153390i | 0.127136 | − | 0.991885i | \(-0.459421\pi\) |
0.544909 | + | 0.838495i | \(0.316564\pi\) | |||||||
\(830\) | 6.69572 | − | 13.9038i | 0.232412 | − | 0.482608i | ||||
\(831\) | −3.76672 | + | 22.8193i | −0.130666 | + | 0.791594i | ||||
\(832\) | − | 3.60276i | − | 0.124903i | ||||||
\(833\) | 6.49791 | + | 9.46362i | 0.225139 | + | 0.327895i | ||||
\(834\) | 1.94446 | − | 1.08665i | 0.0673310 | − | 0.0376274i | ||||
\(835\) | 16.0228 | − | 20.0920i | 0.554492 | − | 0.695311i | ||||
\(836\) | −5.92995 | − | 2.85571i | −0.205091 | − | 0.0987669i | ||||
\(837\) | −7.27834 | − | 39.4546i | −0.251576 | − | 1.36375i | ||||
\(838\) | 0.123548 | − | 0.256550i | 0.00426789 | − | 0.00886236i | ||||
\(839\) | −8.67659 | + | 4.17842i | −0.299549 | + | 0.144255i | −0.577621 | − | 0.816305i | \(-0.696019\pi\) |
0.278072 | + | 0.960560i | \(0.410305\pi\) | |||||||
\(840\) | 6.15226 | + | 2.77512i | 0.212273 | + | 0.0957507i | ||||
\(841\) | 41.1750 | + | 19.8288i | 1.41983 | + | 0.683753i | ||||
\(842\) | −24.4128 | + | 19.4686i | −0.841322 | + | 0.670932i | ||||
\(843\) | −30.2074 | − | 21.2202i | −1.04040 | − | 0.730863i | ||||
\(844\) | −0.969347 | + | 1.21552i | −0.0333663 | + | 0.0418400i | ||||
\(845\) | −0.00659605 | + | 0.0288992i | −0.000226911 | + | 0.000994162i | ||||
\(846\) | −12.9866 | + | 4.68192i | −0.446489 | + | 0.160968i | ||||
\(847\) | 15.0460 | − | 11.1428i | 0.516988 | − | 0.382870i | ||||
\(848\) | −10.4281 | + | 8.31611i | −0.358101 | + | 0.285576i | ||||
\(849\) | −18.4359 | − | 12.9509i | −0.632719 | − | 0.444474i | ||||
\(850\) | −4.52611 | − | 1.03305i | −0.155244 | − | 0.0354335i | ||||
\(851\) | − | 11.4123i | − | 0.391210i | ||||||
\(852\) | −7.28739 | − | 13.0402i | −0.249662 | − | 0.446748i | ||||
\(853\) | 29.3011 | + | 6.68778i | 1.00325 | + | 0.228985i | 0.692431 | − | 0.721484i | \(-0.256540\pi\) |
0.310818 | + | 0.950469i | \(0.399397\pi\) | |||||||
\(854\) | −13.7795 | + | 26.1763i | −0.471526 | + | 0.895736i | ||||
\(855\) | −4.71831 | + | 13.9027i | −0.161363 | + | 0.475462i | ||||
\(856\) | 0.131738 | + | 0.577182i | 0.00450272 | + | 0.0197277i | ||||
\(857\) | −20.4760 | − | 25.6760i | −0.699445 | − | 0.877077i | 0.297537 | − | 0.954710i | \(-0.403835\pi\) |
−0.996982 | + | 0.0776338i | \(0.975264\pi\) | |||||||
\(858\) | 4.67627 | − | 11.4416i | 0.159645 | − | 0.390609i | ||||
\(859\) | 48.5131 | − | 11.0728i | 1.65525 | − | 0.377799i | 0.710011 | − | 0.704191i | \(-0.248690\pi\) |
0.945235 | + | 0.326392i | \(0.105833\pi\) | |||||||
\(860\) | 1.77386 | + | 7.77180i | 0.0604882 | + | 0.265016i | ||||
\(861\) | −0.579752 | − | 23.1360i | −0.0197579 | − | 0.788471i | ||||
\(862\) | 5.21754 | − | 22.8595i | 0.177710 | − | 0.778599i | ||||
\(863\) | 30.2716i | 1.03046i | 0.857053 | + | 0.515229i | \(0.172293\pi\) | ||||
−0.857053 | + | 0.515229i | \(0.827707\pi\) | |||||||
\(864\) | −5.19158 | − | 0.218052i | −0.176621 | − | 0.00741828i | ||||
\(865\) | 6.23432 | − | 27.3144i | 0.211973 | − | 0.928716i | ||||
\(866\) | 14.9615 | − | 7.20508i | 0.508412 | − | 0.244838i | ||||
\(867\) | 22.9442 | + | 9.37751i | 0.779227 | + | 0.318477i | ||||
\(868\) | 12.1577 | + | 16.4165i | 0.412661 | + | 0.557214i | ||||
\(869\) | 11.9796 | + | 9.55341i | 0.406380 | + | 0.324077i | ||||
\(870\) | 6.20329 | + | 21.1572i | 0.210311 | + | 0.717295i | ||||
\(871\) | −16.8883 | − | 13.4679i | −0.572237 | − | 0.456343i | ||||
\(872\) | 5.33003 | + | 11.0679i | 0.180498 | + | 0.374807i | ||||
\(873\) | 2.78174 | + | 22.7604i | 0.0941478 | + | 0.770324i | ||||
\(874\) | −2.29226 | + | 4.75993i | −0.0775369 | + | 0.161007i | ||||
\(875\) | −24.5218 | + | 18.1603i | −0.828988 | + | 0.613930i | ||||
\(876\) | 9.26796 | + | 6.51059i | 0.313136 | + | 0.219973i | ||||
\(877\) | −13.0754 | − | 6.29678i | −0.441525 | − | 0.212627i | 0.199895 | − | 0.979817i | \(-0.435940\pi\) |
−0.641420 | + | 0.767190i | \(0.721654\pi\) | |||||||
\(878\) | −1.56325 | − | 6.84906i | −0.0527572 | − | 0.231145i | ||||
\(879\) | 34.7642 | − | 2.11654i | 1.17257 | − | 0.0713890i | ||||
\(880\) | −2.28081 | − | 1.81888i | −0.0768860 | − | 0.0613145i | ||||
\(881\) | −41.7787 | −1.40756 | −0.703780 | − | 0.710418i | \(-0.748506\pi\) | ||||
−0.703780 | + | 0.710418i | \(0.748506\pi\) | |||||||
\(882\) | −20.2137 | + | 5.69250i | −0.680632 | + | 0.191676i | ||||
\(883\) | −41.7559 | −1.40520 | −0.702599 | − | 0.711586i | \(-0.747977\pi\) | ||||
−0.702599 | + | 0.711586i | \(0.747977\pi\) | |||||||
\(884\) | 4.61934 | + | 3.68380i | 0.155365 | + | 0.123900i | ||||
\(885\) | −10.7712 | + | 0.655779i | −0.362069 | + | 0.0220438i | ||||
\(886\) | 1.07459 | + | 4.70808i | 0.0361015 | + | 0.158171i | ||||
\(887\) | 50.8286 | + | 24.4778i | 1.70666 | + | 0.821883i | 0.992549 | + | 0.121850i | \(0.0388826\pi\) |
0.714110 | + | 0.700034i | \(0.246832\pi\) | |||||||
\(888\) | −10.1731 | − | 7.14641i | −0.341386 | − | 0.239818i | ||||
\(889\) | −42.1018 | + | 8.03787i | −1.41205 | + | 0.269581i | ||||
\(890\) | −5.93241 | + | 12.3188i | −0.198855 | + | 0.412926i | ||||
\(891\) | −16.2043 | − | 7.43099i | −0.542864 | − | 0.248947i | ||||
\(892\) | −7.61000 | − | 15.8023i | −0.254802 | − | 0.529101i | ||||
\(893\) | 11.9545 | + | 9.53337i | 0.400041 | + | 0.319022i | ||||
\(894\) | 10.7623 | + | 36.7064i | 0.359946 | + | 1.22765i | ||||
\(895\) | 7.91330 | + | 6.31065i | 0.264513 | + | 0.210942i | ||||
\(896\) | 2.42325 | − | 1.06200i | 0.0809552 | − | 0.0354791i | ||||
\(897\) | −9.18407 | − | 3.75361i | −0.306647 | − | 0.125329i | ||||
\(898\) | −29.8892 | + | 14.3939i | −0.997414 | + | 0.480329i | ||||
\(899\) | −14.8496 | + | 65.0605i | −0.495263 | + | 2.16989i | ||||
\(900\) | 4.45044 | − | 7.23314i | 0.148348 | − | 0.241105i | ||||
\(901\) | − | 21.8737i | − | 0.728719i | ||||||
\(902\) | −2.22596 | + | 9.75258i | −0.0741165 | + | 0.324726i | ||||
\(903\) | −19.7736 | − | 14.9742i | −0.658026 | − | 0.498311i | ||||
\(904\) | 0.139060 | + | 0.609262i | 0.00462507 | + | 0.0202638i | ||||
\(905\) | −2.14385 | + | 0.489320i | −0.0712640 | + | 0.0162655i | ||||
\(906\) | −7.21659 | + | 17.6570i | −0.239755 | + | 0.586616i | ||||
\(907\) | 31.2429 | + | 39.1774i | 1.03740 | + | 1.30086i | 0.952521 | + | 0.304473i | \(0.0984803\pi\) |
0.0848832 | + | 0.996391i | \(0.472948\pi\) | |||||||
\(908\) | −1.71925 | − | 7.53254i | −0.0570554 | − | 0.249976i | ||||
\(909\) | 30.2443 | + | 10.2643i | 1.00314 | + | 0.340446i | ||||
\(910\) | 13.7896 | − | 2.63265i | 0.457122 | − | 0.0872714i | ||||
\(911\) | 8.48121 | + | 1.93578i | 0.280995 | + | 0.0641352i | 0.360696 | − | 0.932684i | \(-0.382539\pi\) |
−0.0797007 | + | 0.996819i | \(0.525396\pi\) | |||||||
\(912\) | 2.80763 | + | 5.02402i | 0.0929700 | + | 0.166362i | ||||
\(913\) | − | 20.7546i | − | 0.686877i | ||||||
\(914\) | 33.6277 | + | 7.67531i | 1.11231 | + | 0.253877i | ||||
\(915\) | −23.3387 | − | 16.3950i | −0.771554 | − | 0.542004i | ||||
\(916\) | 20.3680 | − | 16.2430i | 0.672979 | − | 0.536683i | ||||
\(917\) | −3.11620 | − | 2.67280i | −0.102906 | − | 0.0882635i | ||||
\(918\) | 5.58793 | − | 6.43351i | 0.184429 | − | 0.212337i | ||||
\(919\) | −3.21700 | + | 14.0946i | −0.106119 | + | 0.464938i | 0.893747 | + | 0.448571i | \(0.148067\pi\) |
−0.999866 | + | 0.0163664i | \(0.994790\pi\) | |||||||
\(920\) | −1.46001 | + | 1.83079i | −0.0481350 | + | 0.0603593i | ||||
\(921\) | 4.99101 | + | 3.50610i | 0.164459 | + | 0.115530i | ||||
\(922\) | −7.90905 | + | 6.30726i | −0.260471 | + | 0.207719i | ||||
\(923\) | −27.9953 | − | 13.4818i | −0.921475 | − | 0.443759i | ||||
\(924\) | 9.07416 | − | 0.227385i | 0.298518 | − | 0.00748041i | ||||
\(925\) | 18.3072 | − | 8.81628i | 0.601937 | − | 0.289878i | ||||
\(926\) | 8.52272 | − | 17.6976i | 0.280074 | − | 0.581580i | ||||
\(927\) | 12.4613 | − | 36.7176i | 0.409282 | − | 1.20596i | ||||
\(928\) | 7.78704 | + | 3.75004i | 0.255622 | + | 0.123101i | ||||
\(929\) | −10.8898 | + | 13.6554i | −0.357284 | + | 0.448020i | −0.927695 | − | 0.373340i | \(-0.878213\pi\) |
0.570411 | + | 0.821360i | \(0.306784\pi\) | |||||||
\(930\) | −17.1936 | + | 9.60853i | −0.563801 | + | 0.315076i | ||||
\(931\) | 17.1026 | + | 15.7645i | 0.560515 | + | 0.516660i | ||||
\(932\) | 15.8853i | 0.520341i | ||||||||
\(933\) | −4.40454 | + | 26.6834i | −0.144198 | + | 0.873574i | ||||
\(934\) | 11.2052 | − | 23.2678i | 0.366644 | − | 0.761345i | ||||
\(935\) | 4.66422 | − | 1.06458i | 0.152536 | − | 0.0348154i | ||||
\(936\) | −9.09708 | + | 5.83626i | −0.297347 | + | 0.190764i | ||||
\(937\) | 4.88887 | + | 10.1518i | 0.159712 | + | 0.331646i | 0.965434 | − | 0.260649i | \(-0.0839364\pi\) |
−0.805721 | + | 0.592295i | \(0.798222\pi\) | |||||||
\(938\) | 4.08043 | − | 15.3292i | 0.133231 | − | 0.500517i | ||||
\(939\) | −3.03626 | − | 49.8706i | −0.0990845 | − | 1.62747i | ||||
\(940\) | 4.22553 | + | 5.29864i | 0.137821 | + | 0.172823i | ||||
\(941\) | 26.1828 | − | 12.6090i | 0.853536 | − | 0.411041i | 0.0446473 | − | 0.999003i | \(-0.485784\pi\) |
0.808889 | + | 0.587961i | \(0.200069\pi\) | |||||||
\(942\) | −3.21536 | + | 19.4791i | −0.104762 | + | 0.634665i | ||||
\(943\) | 7.82834 | + | 1.78677i | 0.254926 | + | 0.0581851i | ||||
\(944\) | −2.63751 | + | 3.30733i | −0.0858435 | + | 0.107644i | ||||
\(945\) | −2.95905 | − | 20.0302i | −0.0962578 | − | 0.651582i | ||||
\(946\) | 6.68451 | + | 8.38211i | 0.217332 | + | 0.272526i | ||||
\(947\) | −19.4354 | − | 40.3579i | −0.631564 | − | 1.31146i | −0.933654 | − | 0.358177i | \(-0.883398\pi\) |
0.302089 | − | 0.953280i | \(-0.402316\pi\) | |||||||
\(948\) | −3.76975 | − | 12.8573i | −0.122436 | − | 0.417584i | ||||
\(949\) | 23.5591 | 0.764761 | ||||||||
\(950\) | −9.40651 | −0.305188 | ||||||||
\(951\) | 9.63452 | − | 2.82485i | 0.312421 | − | 0.0916019i | ||||
\(952\) | −1.11609 | + | 4.19291i | −0.0361728 | + | 0.135893i | ||||
\(953\) | 37.6700 | − | 8.59792i | 1.22025 | − | 0.278514i | 0.436565 | − | 0.899673i | \(-0.356195\pi\) |
0.783685 | + | 0.621159i | \(0.213338\pi\) | |||||||
\(954\) | 37.8913 | + | 12.8596i | 1.22678 | + | 0.416345i | ||||
\(955\) | 13.2755 | − | 10.5869i | 0.429585 | − | 0.342583i | ||||
\(956\) | −18.7533 | + | 14.9552i | −0.606523 | + | 0.483686i | ||||
\(957\) | 19.8625 | + | 22.0166i | 0.642063 | + | 0.711697i | ||||
\(958\) | 12.3796 | − | 2.82556i | 0.399966 | − | 0.0912896i | ||||
\(959\) | −13.9970 | + | 16.3190i | −0.451986 | + | 0.526968i | ||||
\(960\) | 0.717727 | + | 2.44791i | 0.0231645 | + | 0.0790058i | ||||
\(961\) | −28.6162 | −0.923104 | ||||||||
\(962\) | −25.8599 | −0.833756 | ||||||||
\(963\) | 1.24400 | − | 1.26765i | 0.0400872 | − | 0.0408493i | ||||
\(964\) | −0.130002 | − | 0.269952i | −0.00418708 | − | 0.00869456i | ||||
\(965\) | 16.4719 | + | 20.6551i | 0.530248 | + | 0.664910i | ||||
\(966\) | −0.182520 | − | 7.28377i | −0.00587249 | − | 0.234351i | ||||
\(967\) | 13.6485 | − | 17.1146i | 0.438905 | − | 0.550369i | −0.512349 | − | 0.858777i | \(-0.671225\pi\) |
0.951254 | + | 0.308408i | \(0.0997961\pi\) | |||||||
\(968\) | 6.89914 | + | 1.57468i | 0.221747 | + | 0.0506123i | ||||
\(969\) | −9.31242 | − | 1.53717i | −0.299158 | − | 0.0493811i | ||||
\(970\) | 10.1422 | − | 4.88421i | 0.325645 | − | 0.156822i | ||||
\(971\) | −16.2586 | − | 20.3877i | −0.521764 | − | 0.654271i | 0.449219 | − | 0.893422i | \(-0.351702\pi\) |
−0.970982 | + | 0.239151i | \(0.923131\pi\) | |||||||
\(972\) | 7.85947 | + | 13.4621i | 0.252092 | + | 0.431798i | ||||
\(973\) | 3.40037 | + | 0.121630i | 0.109011 | + | 0.00389929i | ||||
\(974\) | −5.58270 | − | 11.5926i | −0.178881 | − | 0.371451i | ||||
\(975\) | −1.07351 | − | 17.6325i | −0.0343799 | − | 0.564691i | ||||
\(976\) | −10.9005 | + | 2.48797i | −0.348917 | + | 0.0796379i | ||||
\(977\) | 14.4872 | − | 30.0829i | 0.463486 | − | 0.962438i | −0.529948 | − | 0.848030i | \(-0.677789\pi\) |
0.993434 | − | 0.114408i | \(-0.0364971\pi\) | |||||||
\(978\) | −23.8601 | − | 3.93852i | −0.762962 | − | 0.125940i | ||||
\(979\) | 18.3886i | 0.587702i | ||||||||
\(980\) | 5.83558 | + | 8.49900i | 0.186411 | + | 0.271491i | ||||
\(981\) | 19.3125 | − | 31.3879i | 0.616601 | − | 1.00214i | ||||
\(982\) | −9.51142 | + | 11.9269i | −0.303522 | + | 0.380604i | ||||
\(983\) | −38.1792 | − | 18.3861i | −1.21773 | − | 0.586427i | −0.289050 | − | 0.957314i | \(-0.593339\pi\) |
−0.928678 | + | 0.370887i | \(0.879054\pi\) | |||||||
\(984\) | 6.49485 | − | 5.85938i | 0.207048 | − | 0.186790i | ||||
\(985\) | −10.3066 | + | 21.4018i | −0.328395 | + | 0.681918i | ||||
\(986\) | −12.7704 | + | 6.14989i | −0.406692 | + | 0.195852i | ||||
\(987\) | −20.6696 | − | 4.17587i | −0.657920 | − | 0.132919i | ||||
\(988\) | 10.7858 | + | 5.19417i | 0.343142 | + | 0.165249i | ||||
\(989\) | 6.72827 | − | 5.36561i | 0.213946 | − | 0.170617i | ||||
\(990\) | −0.897961 | + | 8.70559i | −0.0285391 | + | 0.276682i | ||||
\(991\) | 28.6284 | − | 35.8988i | 0.909410 | − | 1.14036i | −0.0802274 | − | 0.996777i | \(-0.525565\pi\) |
0.989638 | − | 0.143588i | \(-0.0458639\pi\) | |||||||
\(992\) | −1.71812 | + | 7.52757i | −0.0545503 | + | 0.239001i | ||||
\(993\) | −5.66874 | + | 34.3421i | −0.179892 | + | 1.08981i | ||||
\(994\) | 0.815692 | − | 22.8040i | 0.0258722 | − | 0.723299i | ||||
\(995\) | −6.92043 | + | 5.51886i | −0.219392 | + | 0.174960i | ||||
\(996\) | −10.4323 | + | 14.8505i | −0.330559 | + | 0.470557i | ||||
\(997\) | −49.7488 | − | 11.3548i | −1.57556 | − | 0.359612i | −0.656688 | − | 0.754163i | \(-0.728043\pi\) |
−0.918874 | + | 0.394551i | \(0.870900\pi\) | |||||||
\(998\) | 26.1845i | 0.828855i | ||||||||
\(999\) | −1.56513 | + | 37.2641i | −0.0495186 | + | 1.17898i |
(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 | 294.2.j.a.251.20 | yes | 120 | |
3.2 | odd | 2 | inner | 294.2.j.a.251.3 | yes | 120 | |
49.41 | odd | 14 | inner | 294.2.j.a.41.3 | ✓ | 120 | |
147.41 | even | 14 | inner | 294.2.j.a.41.20 | yes | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
294.2.j.a.41.3 | ✓ | 120 | 49.41 | odd | 14 | inner | |
294.2.j.a.41.20 | yes | 120 | 147.41 | even | 14 | inner | |
294.2.j.a.251.3 | yes | 120 | 3.2 | odd | 2 | inner | |
294.2.j.a.251.20 | yes | 120 | 1.1 | even | 1 | trivial |