Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [231,2,Mod(5,231)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(231, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([15, 25, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("231.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 231 = 3 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 231.bc (of order \(30\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.84454428669\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 5.17 | ||
Character | \(\chi\) | \(=\) | 231.5 |
Dual form | 231.2.bc.a.185.17 |
$q$-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 \(\left(\mathbb{Z}/231\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(211\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{2}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.148555 | − | 0.698897i | 0.105044 | − | 0.494195i | −0.893900 | − | 0.448266i | \(-0.852042\pi\) |
0.998945 | − | 0.0459289i | \(-0.0146248\pi\) | |||||||
\(3\) | −0.111082 | + | 1.72849i | −0.0641334 | + | 0.997941i | ||||
\(4\) | 1.36070 | + | 0.605824i | 0.680352 | + | 0.302912i | ||||
\(5\) | −1.08864 | − | 1.20906i | −0.486857 | − | 0.540709i | 0.448795 | − | 0.893635i | \(-0.351853\pi\) |
−0.935651 | + | 0.352926i | \(0.885187\pi\) | |||||||
\(6\) | 1.19153 | + | 0.334410i | 0.486440 | + | 0.136522i | ||||
\(7\) | 1.71199 | + | 2.01719i | 0.647073 | + | 0.762428i | ||||
\(8\) | 1.46551 | − | 2.01709i | 0.518134 | − | 0.713151i | ||||
\(9\) | −2.97532 | − | 0.384008i | −0.991774 | − | 0.128003i | ||||
\(10\) | −1.00673 | + | 0.581238i | −0.318357 | + | 0.183804i | ||||
\(11\) | 2.06861 | + | 2.59246i | 0.623708 | + | 0.781657i | ||||
\(12\) | −1.19831 | + | 2.28466i | −0.345922 | + | 0.659524i | ||||
\(13\) | 0.871513 | − | 0.283172i | 0.241714 | − | 0.0785377i | −0.185655 | − | 0.982615i | \(-0.559441\pi\) |
0.427369 | + | 0.904077i | \(0.359441\pi\) | |||||||
\(14\) | 1.66414 | − | 0.896843i | 0.444759 | − | 0.239691i | ||||
\(15\) | 2.21078 | − | 1.74740i | 0.570820 | − | 0.451177i | ||||
\(16\) | 0.801274 | + | 0.889905i | 0.200319 | + | 0.222476i | ||||
\(17\) | −3.21524 | + | 0.683419i | −0.779809 | + | 0.165754i | −0.580584 | − | 0.814200i | \(-0.697176\pi\) |
−0.199225 | + | 0.979954i | \(0.563842\pi\) | |||||||
\(18\) | −0.710381 | + | 2.02240i | −0.167438 | + | 0.476683i | ||||
\(19\) | 0.623282 | + | 1.39991i | 0.142991 | + | 0.321162i | 0.970817 | − | 0.239823i | \(-0.0770893\pi\) |
−0.827826 | + | 0.560985i | \(0.810423\pi\) | |||||||
\(20\) | −0.748843 | − | 2.30470i | −0.167446 | − | 0.515347i | ||||
\(21\) | −3.67686 | + | 2.73508i | −0.802357 | + | 0.596844i | ||||
\(22\) | 2.11917 | − | 1.06062i | 0.451808 | − | 0.226125i | ||||
\(23\) | 2.62503 | + | 1.51556i | 0.547357 | + | 0.316017i | 0.748055 | − | 0.663636i | \(-0.230988\pi\) |
−0.200698 | + | 0.979653i | \(0.564321\pi\) | |||||||
\(24\) | 3.32373 | + | 2.75717i | 0.678453 | + | 0.562804i | ||||
\(25\) | 0.245958 | − | 2.34013i | 0.0491915 | − | 0.468026i | ||||
\(26\) | −0.0684401 | − | 0.651164i | −0.0134222 | − | 0.127704i | ||||
\(27\) | 0.994257 | − | 5.10014i | 0.191345 | − | 0.981523i | ||||
\(28\) | 1.10745 | + | 3.78197i | 0.209289 | + | 0.714725i | ||||
\(29\) | −0.885410 | − | 1.21866i | −0.164417 | − | 0.226300i | 0.718857 | − | 0.695158i | \(-0.244666\pi\) |
−0.883274 | + | 0.468858i | \(0.844666\pi\) | |||||||
\(30\) | −0.892831 | − | 1.80469i | −0.163008 | − | 0.329490i | ||||
\(31\) | −5.24663 | − | 4.72409i | −0.942323 | − | 0.848472i | 0.0462934 | − | 0.998928i | \(-0.485259\pi\) |
−0.988617 | + | 0.150456i | \(0.951926\pi\) | |||||||
\(32\) | 5.05945 | − | 2.92107i | 0.894393 | − | 0.516378i | ||||
\(33\) | −4.71082 | + | 3.28758i | −0.820048 | + | 0.572294i | ||||
\(34\) | 2.34864i | 0.402789i | ||||||||
\(35\) | 0.575160 | − | 4.26592i | 0.0972198 | − | 0.721072i | ||||
\(36\) | −3.81589 | − | 2.32504i | −0.635981 | − | 0.387507i | ||||
\(37\) | −1.15526 | − | 10.9916i | −0.189924 | − | 1.80700i | −0.510605 | − | 0.859816i | \(-0.670578\pi\) |
0.320681 | − | 0.947187i | \(-0.396088\pi\) | |||||||
\(38\) | 1.07099 | − | 0.227645i | 0.173737 | − | 0.0369289i | ||||
\(39\) | 0.392648 | + | 1.53785i | 0.0628741 | + | 0.246253i | ||||
\(40\) | −4.03421 | + | 0.424012i | −0.637864 | + | 0.0670422i | ||||
\(41\) | −3.73069 | − | 2.71051i | −0.582637 | − | 0.423310i | 0.257037 | − | 0.966402i | \(-0.417254\pi\) |
−0.839674 | + | 0.543091i | \(0.817254\pi\) | |||||||
\(42\) | 1.36532 | + | 2.97606i | 0.210674 | + | 0.459216i | ||||
\(43\) | −3.45737 | −0.527243 | −0.263622 | − | 0.964626i | \(-0.584917\pi\) | ||||
−0.263622 | + | 0.964626i | \(0.584917\pi\) | |||||||
\(44\) | 1.24418 | + | 4.78078i | 0.187568 | + | 0.720730i | ||||
\(45\) | 2.77478 | + | 4.01540i | 0.413640 | + | 0.598580i | ||||
\(46\) | 1.44918 | − | 1.60948i | 0.213671 | − | 0.237305i | ||||
\(47\) | 4.81419 | − | 2.14342i | 0.702222 | − | 0.312649i | −0.0243852 | − | 0.999703i | \(-0.507763\pi\) |
0.726607 | + | 0.687053i | \(0.241096\pi\) | |||||||
\(48\) | −1.62719 | + | 1.28614i | −0.234865 | + | 0.185638i | ||||
\(49\) | −1.13815 | + | 6.90685i | −0.162593 | + | 0.986693i | ||||
\(50\) | −1.59897 | − | 0.519537i | −0.226129 | − | 0.0734736i | ||||
\(51\) | −0.824125 | − | 5.63340i | −0.115401 | − | 0.788834i | ||||
\(52\) | 1.35742 | + | 0.142671i | 0.188241 | + | 0.0197849i | ||||
\(53\) | 0.529986 | + | 0.477201i | 0.0727991 | + | 0.0655486i | 0.704727 | − | 0.709479i | \(-0.251069\pi\) |
−0.631928 | + | 0.775027i | \(0.717736\pi\) | |||||||
\(54\) | −3.41677 | − | 1.45254i | −0.464964 | − | 0.197665i | ||||
\(55\) | 0.882472 | − | 5.32335i | 0.118992 | − | 0.717800i | ||||
\(56\) | 6.57781 | − | 0.497047i | 0.878997 | − | 0.0664207i | ||||
\(57\) | −2.48896 | + | 0.921827i | −0.329671 | + | 0.122099i | ||||
\(58\) | −0.983251 | + | 0.437772i | −0.129107 | + | 0.0574822i | ||||
\(59\) | −8.09591 | − | 3.60453i | −1.05400 | − | 0.469270i | −0.194762 | − | 0.980851i | \(-0.562393\pi\) |
−0.859235 | + | 0.511581i | \(0.829060\pi\) | |||||||
\(60\) | 4.06683 | − | 1.03835i | 0.525025 | − | 0.134051i | ||||
\(61\) | −8.38656 | + | 7.55129i | −1.07379 | + | 0.966844i | −0.999538 | − | 0.0303955i | \(-0.990323\pi\) |
−0.0742512 | + | 0.997240i | \(0.523657\pi\) | |||||||
\(62\) | −4.08106 | + | 2.96507i | −0.518296 | + | 0.376564i | ||||
\(63\) | −4.31912 | − | 6.65922i | −0.544157 | − | 0.838983i | ||||
\(64\) | −0.549835 | − | 1.69222i | −0.0687294 | − | 0.211527i | ||||
\(65\) | −1.29114 | − | 0.745440i | −0.160146 | − | 0.0924604i | ||||
\(66\) | 1.59786 | + | 3.78076i | 0.196683 | + | 0.465380i | ||||
\(67\) | −0.544104 | − | 0.942415i | −0.0664728 | − | 0.115134i | 0.830874 | − | 0.556461i | \(-0.187841\pi\) |
−0.897346 | + | 0.441327i | \(0.854508\pi\) | |||||||
\(68\) | −4.78901 | − | 1.01794i | −0.580753 | − | 0.123443i | ||||
\(69\) | −2.91122 | + | 4.36898i | −0.350470 | + | 0.525963i | ||||
\(70\) | −2.89599 | − | 1.03570i | −0.346137 | − | 0.123790i | ||||
\(71\) | 12.3476 | + | 4.01198i | 1.46539 | + | 0.476134i | 0.929712 | − | 0.368287i | \(-0.120056\pi\) |
0.535679 | + | 0.844422i | \(0.320056\pi\) | |||||||
\(72\) | −5.13493 | + | 5.43874i | −0.605157 | + | 0.640962i | ||||
\(73\) | 1.04340 | − | 2.34352i | 0.122121 | − | 0.274288i | −0.842132 | − | 0.539271i | \(-0.818700\pi\) |
0.964253 | + | 0.264983i | \(0.0853664\pi\) | |||||||
\(74\) | −7.85359 | − | 0.825446i | −0.912961 | − | 0.0959561i | ||||
\(75\) | 4.01756 | + | 0.685081i | 0.463908 | + | 0.0791063i | ||||
\(76\) | 2.28247i | 0.261817i | ||||||||
\(77\) | −1.68806 | + | 8.61107i | −0.192372 | + | 0.981322i | ||||
\(78\) | 1.13313 | − | 0.0459649i | 0.128302 | − | 0.00520450i | ||||
\(79\) | −11.9207 | − | 2.53383i | −1.34119 | − | 0.285078i | −0.519234 | − | 0.854632i | \(-0.673783\pi\) |
−0.821954 | + | 0.569554i | \(0.807116\pi\) | |||||||
\(80\) | 0.203648 | − | 1.93758i | 0.0227685 | − | 0.216628i | ||||
\(81\) | 8.70508 | + | 2.28509i | 0.967231 | + | 0.253899i | ||||
\(82\) | −2.44858 | + | 2.20471i | −0.270400 | + | 0.243470i | ||||
\(83\) | −2.75073 | + | 8.46587i | −0.301931 | + | 0.929249i | 0.678873 | + | 0.734256i | \(0.262469\pi\) |
−0.980804 | + | 0.194994i | \(0.937531\pi\) | |||||||
\(84\) | −6.66010 | + | 1.49410i | −0.726676 | + | 0.163020i | ||||
\(85\) | 4.32655 | + | 3.14342i | 0.469280 | + | 0.340952i | ||||
\(86\) | −0.513609 | + | 2.41634i | −0.0553839 | + | 0.260561i | ||||
\(87\) | 2.20479 | − | 1.39505i | 0.236379 | − | 0.149565i | ||||
\(88\) | 8.26080 | − | 0.373308i | 0.880604 | − | 0.0397948i | ||||
\(89\) | 3.03361 | − | 5.25436i | 0.321562 | − | 0.556961i | −0.659249 | − | 0.751925i | \(-0.729126\pi\) |
0.980810 | + | 0.194964i | \(0.0624589\pi\) | |||||||
\(90\) | 3.21856 | − | 1.34278i | 0.339266 | − | 0.141541i | ||||
\(91\) | 2.06324 | + | 1.27322i | 0.216286 | + | 0.133470i | ||||
\(92\) | 2.65373 | + | 3.65254i | 0.276670 | + | 0.380804i | ||||
\(93\) | 8.74833 | − | 8.54397i | 0.907159 | − | 0.885968i | ||||
\(94\) | −0.782854 | − | 3.68304i | −0.0807452 | − | 0.379876i | ||||
\(95\) | 1.01405 | − | 2.27759i | 0.104039 | − | 0.233676i | ||||
\(96\) | 4.48702 | + | 9.06966i | 0.457954 | + | 0.925668i | ||||
\(97\) | 14.1821 | − | 4.60805i | 1.43998 | − | 0.467876i | 0.518086 | − | 0.855329i | \(-0.326645\pi\) |
0.921890 | + | 0.387452i | \(0.126645\pi\) | |||||||
\(98\) | 4.65810 | + | 1.82150i | 0.470539 | + | 0.183999i | ||||
\(99\) | −5.15924 | − | 8.50777i | −0.518524 | − | 0.855063i | ||||
\(100\) | 1.75238 | − | 3.03521i | 0.175238 | − | 0.303521i | ||||
\(101\) | 9.56532 | − | 10.6234i | 0.951785 | − | 1.05706i | −0.0465229 | − | 0.998917i | \(-0.514814\pi\) |
0.998308 | − | 0.0581472i | \(-0.0185193\pi\) | |||||||
\(102\) | −4.05959 | − | 0.260892i | −0.401960 | − | 0.0258322i | ||||
\(103\) | 3.56790 | − | 0.375002i | 0.351556 | − | 0.0369500i | 0.0728951 | − | 0.997340i | \(-0.476776\pi\) |
0.278661 | + | 0.960390i | \(0.410109\pi\) | |||||||
\(104\) | 0.706022 | − | 2.17291i | 0.0692312 | − | 0.213072i | ||||
\(105\) | 7.30968 | + | 1.46802i | 0.713352 | + | 0.143264i | ||||
\(106\) | 0.412246 | − | 0.299515i | 0.0400409 | − | 0.0290914i | ||||
\(107\) | −5.13867 | − | 11.5416i | −0.496774 | − | 1.11577i | −0.971801 | − | 0.235801i | \(-0.924229\pi\) |
0.475028 | − | 0.879971i | \(-0.342438\pi\) | |||||||
\(108\) | 4.44268 | − | 6.33743i | 0.427497 | − | 0.609820i | ||||
\(109\) | 7.93404 | + | 13.7422i | 0.759944 | + | 1.31626i | 0.942879 | + | 0.333136i | \(0.108107\pi\) |
−0.182935 | + | 0.983125i | \(0.558560\pi\) | |||||||
\(110\) | −3.58937 | − | 1.40757i | −0.342233 | − | 0.134206i | ||||
\(111\) | 19.1271 | − | 0.775882i | 1.81546 | − | 0.0736435i | ||||
\(112\) | −0.423335 | + | 3.13984i | −0.0400014 | + | 0.296687i | ||||
\(113\) | −7.01850 | + | 9.66013i | −0.660245 | + | 0.908749i | −0.999489 | − | 0.0319494i | \(-0.989828\pi\) |
0.339245 | + | 0.940698i | \(0.389828\pi\) | |||||||
\(114\) | 0.274514 | + | 1.87647i | 0.0257106 | + | 0.175748i | ||||
\(115\) | −1.02532 | − | 4.82374i | −0.0956114 | − | 0.449816i | ||||
\(116\) | −0.466485 | − | 2.19464i | −0.0433121 | − | 0.203767i | ||||
\(117\) | −2.70177 | + | 0.507859i | −0.249779 | + | 0.0469516i | ||||
\(118\) | −3.72188 | + | 5.12273i | −0.342627 | + | 0.471586i | ||||
\(119\) | −6.88306 | − | 5.31575i | −0.630969 | − | 0.487294i | ||||
\(120\) | −0.284770 | − | 7.02017i | −0.0259958 | − | 0.640851i | ||||
\(121\) | −2.44173 | + | 10.7256i | −0.221975 | + | 0.975052i | ||||
\(122\) | 4.03171 | + | 6.98312i | 0.365014 | + | 0.632222i | ||||
\(123\) | 5.09949 | − | 6.14736i | 0.459805 | − | 0.554289i | ||||
\(124\) | −4.27714 | − | 9.60662i | −0.384099 | − | 0.862700i | ||||
\(125\) | −9.67829 | + | 7.03169i | −0.865653 | + | 0.628934i | ||||
\(126\) | −5.29573 | + | 2.02935i | −0.471782 | + | 0.180789i | ||||
\(127\) | 2.68552 | − | 8.26519i | 0.238302 | − | 0.733417i | −0.758365 | − | 0.651830i | \(-0.774001\pi\) |
0.996666 | − | 0.0815862i | \(-0.0259986\pi\) | |||||||
\(128\) | 10.3559 | − | 1.08845i | 0.915343 | − | 0.0962064i | ||||
\(129\) | 0.384052 | − | 5.97600i | 0.0338139 | − | 0.526158i | ||||
\(130\) | −0.712791 | + | 0.791634i | −0.0625159 | + | 0.0694309i | ||||
\(131\) | −6.12816 | + | 10.6143i | −0.535420 | + | 0.927374i | 0.463723 | + | 0.885980i | \(0.346513\pi\) |
−0.999143 | + | 0.0413941i | \(0.986820\pi\) | |||||||
\(132\) | −8.40172 | + | 1.61949i | −0.731276 | + | 0.140959i | ||||
\(133\) | −1.75684 | + | 3.65392i | −0.152338 | + | 0.316835i | ||||
\(134\) | −0.739480 | + | 0.240272i | −0.0638814 | + | 0.0207563i | ||||
\(135\) | −7.24878 | + | 4.35012i | −0.623876 | + | 0.374399i | ||||
\(136\) | −3.33342 | + | 7.48699i | −0.285839 | + | 0.642004i | ||||
\(137\) | −1.88577 | − | 8.87186i | −0.161112 | − | 0.757974i | −0.982300 | − | 0.187315i | \(-0.940021\pi\) |
0.821187 | − | 0.570658i | \(-0.193312\pi\) | |||||||
\(138\) | 2.62099 | + | 2.68368i | 0.223113 | + | 0.228450i | ||||
\(139\) | 10.1206 | + | 13.9299i | 0.858422 | + | 1.18152i | 0.981943 | + | 0.189175i | \(0.0605812\pi\) |
−0.123521 | + | 0.992342i | \(0.539419\pi\) | |||||||
\(140\) | 3.36702 | − | 5.45620i | 0.284565 | − | 0.461133i | ||||
\(141\) | 3.17009 | + | 8.55935i | 0.266970 | + | 0.720827i | ||||
\(142\) | 4.63826 | − | 8.03370i | 0.389234 | − | 0.674173i | ||||
\(143\) | 2.53693 | + | 1.67359i | 0.212149 | + | 0.139953i | ||||
\(144\) | −2.04232 | − | 2.95545i | −0.170193 | − | 0.246287i | ||||
\(145\) | −0.509542 | + | 2.39721i | −0.0423152 | + | 0.199077i | ||||
\(146\) | −1.48287 | − | 1.07737i | −0.122724 | − | 0.0891639i | ||||
\(147\) | −11.8120 | − | 2.73450i | −0.974234 | − | 0.225538i | ||||
\(148\) | 5.08699 | − | 15.6561i | 0.418148 | − | 1.28693i | ||||
\(149\) | −16.0482 | + | 14.4499i | −1.31472 | + | 1.18378i | −0.345270 | + | 0.938503i | \(0.612213\pi\) |
−0.969453 | + | 0.245278i | \(0.921121\pi\) | |||||||
\(150\) | 1.07563 | − | 2.70609i | 0.0878248 | − | 0.220951i | ||||
\(151\) | 0.517240 | − | 4.92121i | 0.0420924 | − | 0.400482i | −0.953108 | − | 0.302629i | \(-0.902136\pi\) |
0.995201 | − | 0.0978534i | \(-0.0311976\pi\) | |||||||
\(152\) | 3.73718 | + | 0.794362i | 0.303125 | + | 0.0644313i | ||||
\(153\) | 9.82880 | − | 0.798716i | 0.794611 | − | 0.0645724i | ||||
\(154\) | 5.76748 | + | 2.45900i | 0.464756 | + | 0.198152i | ||||
\(155\) | 11.4864i | 0.922607i | ||||||||
\(156\) | −0.397390 | + | 2.33044i | −0.0318166 | + | 0.186584i | ||||
\(157\) | 19.9908 | + | 2.10112i | 1.59544 | + | 0.167688i | 0.860141 | − | 0.510056i | \(-0.170375\pi\) |
0.735299 | + | 0.677743i | \(0.237042\pi\) | |||||||
\(158\) | −3.54177 | + | 7.95495i | −0.281768 | + | 0.632862i | ||||
\(159\) | −0.883707 | + | 0.863064i | −0.0700825 | + | 0.0684454i | ||||
\(160\) | −9.03970 | − | 2.93718i | −0.714651 | − | 0.232204i | ||||
\(161\) | 1.43686 | + | 7.88984i | 0.113240 | + | 0.621807i | ||||
\(162\) | 2.89023 | − | 5.74449i | 0.227078 | − | 0.451329i | ||||
\(163\) | 0.221940 | + | 0.0471748i | 0.0173837 | + | 0.00369502i | 0.216595 | − | 0.976261i | \(-0.430505\pi\) |
−0.199212 | + | 0.979956i | \(0.563838\pi\) | |||||||
\(164\) | −3.43428 | − | 5.94834i | −0.268172 | − | 0.464487i | ||||
\(165\) | 9.10330 | + | 2.11667i | 0.708691 | + | 0.164782i | ||||
\(166\) | 5.50813 | + | 3.18012i | 0.427514 | + | 0.246825i | ||||
\(167\) | 4.84405 | + | 14.9084i | 0.374843 | + | 1.15365i | 0.943584 | + | 0.331133i | \(0.107431\pi\) |
−0.568741 | + | 0.822517i | \(0.692569\pi\) | |||||||
\(168\) | 0.128460 | + | 11.4249i | 0.00991090 | + | 0.881447i | ||||
\(169\) | −9.83787 | + | 7.14763i | −0.756759 | + | 0.549818i | ||||
\(170\) | 2.83966 | − | 2.55684i | 0.217792 | − | 0.196101i | ||||
\(171\) | −1.31689 | − | 4.40454i | −0.100705 | − | 0.336823i | ||||
\(172\) | −4.70445 | − | 2.09456i | −0.358711 | − | 0.159708i | ||||
\(173\) | 1.28722 | − | 0.573107i | 0.0978654 | − | 0.0435725i | −0.357220 | − | 0.934020i | \(-0.616275\pi\) |
0.455085 | + | 0.890448i | \(0.349609\pi\) | |||||||
\(174\) | −0.647460 | − | 1.74816i | −0.0490838 | − | 0.132528i | ||||
\(175\) | 5.14158 | − | 3.51015i | 0.388667 | − | 0.265342i | ||||
\(176\) | −0.649525 | + | 3.91814i | −0.0489598 | + | 0.295341i | ||||
\(177\) | 7.12969 | − | 13.5933i | 0.535900 | − | 1.02173i | ||||
\(178\) | −3.22160 | − | 2.90074i | −0.241469 | − | 0.217420i | ||||
\(179\) | −7.73471 | − | 0.812951i | −0.578119 | − | 0.0607628i | −0.189044 | − | 0.981969i | \(-0.560539\pi\) |
−0.389075 | + | 0.921206i | \(0.627205\pi\) | |||||||
\(180\) | 1.34303 | + | 7.14479i | 0.100103 | + | 0.532541i | ||||
\(181\) | 1.45473 | + | 0.472672i | 0.108130 | + | 0.0351334i | 0.362582 | − | 0.931952i | \(-0.381895\pi\) |
−0.254453 | + | 0.967085i | \(0.581895\pi\) | |||||||
\(182\) | 1.19635 | − | 1.25285i | 0.0886797 | − | 0.0928671i | ||||
\(183\) | −12.1207 | − | 15.3349i | −0.895988 | − | 1.13359i | ||||
\(184\) | 6.90404 | − | 3.07387i | 0.508972 | − | 0.226609i | ||||
\(185\) | −12.0318 | + | 13.3627i | −0.884598 | + | 0.982445i | ||||
\(186\) | −4.67174 | − | 7.38343i | −0.342549 | − | 0.541379i | ||||
\(187\) | −8.42280 | − | 6.92165i | −0.615936 | − | 0.506161i | ||||
\(188\) | 7.84922 | 0.572463 | ||||||||
\(189\) | 11.9901 | − | 6.72581i | 0.872155 | − | 0.489230i | ||||
\(190\) | −1.44116 | − | 1.04706i | −0.104553 | − | 0.0759621i | ||||
\(191\) | −3.07942 | + | 0.323660i | −0.222819 | + | 0.0234192i | −0.215280 | − | 0.976552i | \(-0.569066\pi\) |
−0.00753890 | + | 0.999972i | \(0.502400\pi\) | |||||||
\(192\) | 2.98605 | − | 0.762407i | 0.215500 | − | 0.0550220i | ||||
\(193\) | −16.0806 | + | 3.41804i | −1.15751 | + | 0.246036i | −0.746367 | − | 0.665535i | \(-0.768203\pi\) |
−0.411142 | + | 0.911571i | \(0.634870\pi\) | |||||||
\(194\) | −1.11372 | − | 10.5964i | −0.0799608 | − | 0.760776i | ||||
\(195\) | 1.43190 | − | 2.14891i | 0.102541 | − | 0.153887i | ||||
\(196\) | −5.73302 | + | 8.70866i | −0.409501 | + | 0.622047i | ||||
\(197\) | 8.02888i | 0.572034i | 0.958225 | + | 0.286017i | \(0.0923314\pi\) | ||||
−0.958225 | + | 0.286017i | \(0.907669\pi\) | |||||||
\(198\) | −6.71249 | + | 2.34191i | −0.477036 | + | 0.166432i | ||||
\(199\) | −19.4325 | + | 11.2194i | −1.37753 | + | 0.795320i | −0.991862 | − | 0.127316i | \(-0.959364\pi\) |
−0.385673 | + | 0.922636i | \(0.626031\pi\) | |||||||
\(200\) | −4.35981 | − | 3.92559i | −0.308285 | − | 0.277581i | ||||
\(201\) | 1.68939 | − | 0.835789i | 0.119160 | − | 0.0589520i | ||||
\(202\) | −6.00366 | − | 8.26333i | −0.422416 | − | 0.581406i | ||||
\(203\) | 0.942462 | − | 3.87239i | 0.0661479 | − | 0.271788i | ||||
\(204\) | 2.29146 | − | 8.16466i | 0.160434 | − | 0.571641i | ||||
\(205\) | 0.784227 | + | 7.46142i | 0.0547728 | + | 0.521128i | ||||
\(206\) | 0.267943 | − | 2.54930i | 0.0186684 | − | 0.177618i | ||||
\(207\) | −7.22833 | − | 5.51732i | −0.502404 | − | 0.383480i | ||||
\(208\) | 0.950316 | + | 0.548665i | 0.0658926 | + | 0.0380431i | ||||
\(209\) | −2.33990 | + | 4.51170i | −0.161854 | + | 0.312081i | ||||
\(210\) | 2.11189 | − | 4.89063i | 0.145734 | − | 0.337486i | ||||
\(211\) | 1.73670 | + | 5.34500i | 0.119559 | + | 0.367965i | 0.992871 | − | 0.119197i | \(-0.0380321\pi\) |
−0.873312 | + | 0.487162i | \(0.838032\pi\) | |||||||
\(212\) | 0.432053 | + | 0.970407i | 0.0296735 | + | 0.0666478i | ||||
\(213\) | −8.30625 | + | 20.8970i | −0.569135 | + | 1.43184i | ||||
\(214\) | −8.82979 | + | 1.87683i | −0.603592 | + | 0.128297i | ||||
\(215\) | 3.76384 | + | 4.18017i | 0.256692 | + | 0.285085i | ||||
\(216\) | −8.83038 | − | 9.47980i | −0.600831 | − | 0.645018i | ||||
\(217\) | 0.547200 | − | 18.6711i | 0.0371463 | − | 1.26748i | ||||
\(218\) | 10.7830 | − | 3.50361i | 0.730317 | − | 0.237294i | ||||
\(219\) | 3.93483 | + | 2.06383i | 0.265891 | + | 0.139461i | ||||
\(220\) | 4.42579 | − | 6.70887i | 0.298387 | − | 0.452312i | ||||
\(221\) | −2.60859 | + | 1.50607i | −0.175473 | + | 0.101309i | ||||
\(222\) | 2.29916 | − | 13.4831i | 0.154310 | − | 0.904928i | ||||
\(223\) | 8.23615 | − | 11.3361i | 0.551533 | − | 0.759121i | −0.438686 | − | 0.898640i | \(-0.644556\pi\) |
0.990219 | + | 0.139520i | \(0.0445559\pi\) | |||||||
\(224\) | 14.5541 | + | 5.20503i | 0.972438 | + | 0.347776i | ||||
\(225\) | −1.63043 | + | 6.86819i | −0.108695 | + | 0.457879i | ||||
\(226\) | 5.70880 | + | 6.34026i | 0.379744 | + | 0.421748i | ||||
\(227\) | 4.07766 | + | 1.81549i | 0.270644 | + | 0.120499i | 0.537572 | − | 0.843218i | \(-0.319342\pi\) |
−0.266928 | + | 0.963717i | \(0.586008\pi\) | |||||||
\(228\) | −3.94521 | − | 0.253541i | −0.261278 | − | 0.0167912i | ||||
\(229\) | −0.0262271 | + | 0.123389i | −0.00173314 | + | 0.00815377i | −0.979006 | − | 0.203833i | \(-0.934660\pi\) |
0.977273 | + | 0.211987i | \(0.0679934\pi\) | |||||||
\(230\) | −3.52361 | −0.232340 | ||||||||
\(231\) | −14.6966 | − | 3.87432i | −0.966964 | − | 0.254912i | ||||
\(232\) | −3.75573 | −0.246576 | ||||||||
\(233\) | 5.09187 | − | 23.9554i | 0.333579 | − | 1.56937i | −0.417200 | − | 0.908815i | \(-0.636989\pi\) |
0.750780 | − | 0.660553i | \(-0.229678\pi\) | |||||||
\(234\) | −0.0464209 | + | 1.96370i | −0.00303463 | + | 0.128371i | ||||
\(235\) | −7.83247 | − | 3.48724i | −0.510934 | − | 0.227482i | ||||
\(236\) | −8.83241 | − | 9.80939i | −0.574941 | − | 0.638537i | ||||
\(237\) | 5.70387 | − | 20.3234i | 0.370506 | − | 1.32014i | ||||
\(238\) | −4.73767 | + | 4.02086i | −0.307097 | + | 0.260634i | ||||
\(239\) | −7.73600 | + | 10.6477i | −0.500400 | + | 0.688742i | −0.982264 | − | 0.187504i | \(-0.939960\pi\) |
0.481863 | + | 0.876246i | \(0.339960\pi\) | |||||||
\(240\) | 3.32646 | + | 0.567233i | 0.214722 | + | 0.0366148i | ||||
\(241\) | 2.21956 | − | 1.28146i | 0.142975 | − | 0.0825464i | −0.426806 | − | 0.904343i | \(-0.640361\pi\) |
0.569781 | + | 0.821797i | \(0.307028\pi\) | |||||||
\(242\) | 7.13334 | + | 3.29986i | 0.458548 | + | 0.212123i | ||||
\(243\) | −4.91673 | + | 14.7928i | −0.315408 | + | 0.948956i | ||||
\(244\) | −15.9864 | + | 5.19429i | −1.02342 | + | 0.332530i | ||||
\(245\) | 9.58986 | − | 6.14302i | 0.612673 | − | 0.392463i | ||||
\(246\) | −3.53881 | − | 4.47724i | −0.225627 | − | 0.285458i | ||||
\(247\) | 0.939613 | + | 1.04355i | 0.0597862 | + | 0.0663993i | ||||
\(248\) | −17.2179 | + | 3.65978i | −1.09334 | + | 0.232396i | ||||
\(249\) | −14.3276 | − | 5.69500i | −0.907973 | − | 0.360906i | ||||
\(250\) | 3.47667 | + | 7.80872i | 0.219884 | + | 0.493867i | ||||
\(251\) | −6.40956 | − | 19.7266i | −0.404568 | − | 1.24513i | −0.921255 | − | 0.388958i | \(-0.872835\pi\) |
0.516687 | − | 0.856174i | \(-0.327165\pi\) | |||||||
\(252\) | −1.84272 | − | 11.6778i | −0.116080 | − | 0.735635i | ||||
\(253\) | 1.50112 | + | 9.94041i | 0.0943746 | + | 0.624948i | ||||
\(254\) | −5.37756 | − | 3.10474i | −0.337418 | − | 0.194809i | ||||
\(255\) | −5.91396 | + | 7.12919i | −0.370346 | + | 0.446447i | ||||
\(256\) | 1.14969 | − | 10.9385i | 0.0718553 | − | 0.683658i | ||||
\(257\) | −2.40926 | − | 22.9225i | −0.150285 | − | 1.42987i | −0.766477 | − | 0.642272i | \(-0.777992\pi\) |
0.616191 | − | 0.787596i | \(-0.288675\pi\) | |||||||
\(258\) | −4.11956 | − | 1.15618i | −0.256472 | − | 0.0719805i | ||||
\(259\) | 20.1943 | − | 21.1479i | 1.25481 | − | 1.31407i | ||||
\(260\) | −1.30525 | − | 1.79653i | −0.0809483 | − | 0.111416i | ||||
\(261\) | 2.16640 | + | 3.96592i | 0.134097 | + | 0.245484i | ||||
\(262\) | 6.50792 | + | 5.85976i | 0.402061 | + | 0.362017i | ||||
\(263\) | 11.4951 | − | 6.63669i | 0.708818 | − | 0.409236i | −0.101805 | − | 0.994804i | \(-0.532462\pi\) |
0.810623 | + | 0.585568i | \(0.199129\pi\) | |||||||
\(264\) | −0.272370 | + | 14.3201i | −0.0167632 | + | 0.881343i | ||||
\(265\) | − | 1.16029i | − | 0.0712760i | ||||||
\(266\) | 2.29273 | + | 1.77066i | 0.140576 | + | 0.108566i | ||||
\(267\) | 8.74511 | + | 5.82721i | 0.535192 | + | 0.356620i | ||||
\(268\) | −0.169426 | − | 1.61198i | −0.0103493 | − | 0.0984672i | ||||
\(269\) | 9.54016 | − | 2.02782i | 0.581674 | − | 0.123639i | 0.0923283 | − | 0.995729i | \(-0.470569\pi\) |
0.489345 | + | 0.872090i | \(0.337236\pi\) | |||||||
\(270\) | 1.96344 | + | 5.71238i | 0.119491 | + | 0.347645i | ||||
\(271\) | 24.7909 | − | 2.60563i | 1.50594 | − | 0.158281i | 0.684685 | − | 0.728839i | \(-0.259940\pi\) |
0.821257 | + | 0.570558i | \(0.193273\pi\) | |||||||
\(272\) | −3.18446 | − | 2.31365i | −0.193086 | − | 0.140286i | ||||
\(273\) | −2.42993 | + | 3.42484i | −0.147066 | + | 0.207281i | ||||
\(274\) | −6.48065 | −0.391510 | ||||||||
\(275\) | 6.57549 | − | 4.20317i | 0.396517 | − | 0.253461i | ||||
\(276\) | −6.60814 | + | 4.18119i | −0.397764 | + | 0.251678i | ||||
\(277\) | −12.8117 | + | 14.2289i | −0.769783 | + | 0.854931i | −0.992788 | − | 0.119887i | \(-0.961747\pi\) |
0.223004 | + | 0.974817i | \(0.428414\pi\) | |||||||
\(278\) | 11.2390 | − | 5.00393i | 0.674071 | − | 0.300116i | ||||
\(279\) | 13.7963 | + | 16.0704i | 0.825965 | + | 0.962112i | ||||
\(280\) | −7.76186 | − | 7.41188i | −0.463860 | − | 0.442944i | ||||
\(281\) | 18.8024 | + | 6.10926i | 1.12166 | + | 0.364448i | 0.810399 | − | 0.585878i | \(-0.199250\pi\) |
0.311257 | + | 0.950326i | \(0.399250\pi\) | |||||||
\(282\) | 6.45303 | − | 0.944031i | 0.384273 | − | 0.0562162i | ||||
\(283\) | −10.4570 | − | 1.09908i | −0.621606 | − | 0.0653335i | −0.211510 | − | 0.977376i | \(-0.567838\pi\) |
−0.410096 | + | 0.912042i | \(0.634505\pi\) | |||||||
\(284\) | 14.3709 | + | 12.9396i | 0.852754 | + | 0.767823i | ||||
\(285\) | 3.82415 | + | 2.00577i | 0.226523 | + | 0.118812i | ||||
\(286\) | 1.54654 | − | 1.52443i | 0.0914490 | − | 0.0901415i | ||||
\(287\) | −0.919307 | − | 12.1659i | −0.0542650 | − | 0.718131i | ||||
\(288\) | −16.1752 | + | 6.74827i | −0.953133 | + | 0.397645i | ||||
\(289\) | −5.65960 | + | 2.51981i | −0.332917 | + | 0.148224i | ||||
\(290\) | 1.59970 | + | 0.712235i | 0.0939379 | + | 0.0418239i | ||||
\(291\) | 6.38956 | + | 25.0254i | 0.374563 | + | 1.46702i | ||||
\(292\) | 2.83952 | − | 2.55671i | 0.166170 | − | 0.149620i | ||||
\(293\) | −24.7831 | + | 18.0059i | −1.44784 | + | 1.05192i | −0.461512 | + | 0.887134i | \(0.652693\pi\) |
−0.986330 | + | 0.164785i | \(0.947307\pi\) | |||||||
\(294\) | −3.66586 | + | 7.84912i | −0.213797 | + | 0.457770i | ||||
\(295\) | 4.45547 | + | 13.7125i | 0.259407 | + | 0.798373i | ||||
\(296\) | −23.8641 | − | 13.7779i | −1.38707 | − | 0.800826i | ||||
\(297\) | 15.2787 | − | 7.97261i | 0.886558 | − | 0.462618i | ||||
\(298\) | 7.71494 | + | 13.3627i | 0.446914 | + | 0.774078i | ||||
\(299\) | 2.71691 | + | 0.577498i | 0.157123 | + | 0.0333976i | ||||
\(300\) | 5.05167 | + | 3.36612i | 0.291658 | + | 0.194343i | ||||
\(301\) | −5.91899 | − | 6.97418i | −0.341165 | − | 0.401985i | ||||
\(302\) | −3.36258 | − | 1.09257i | −0.193495 | − | 0.0628702i | ||||
\(303\) | 17.2998 | + | 17.7136i | 0.993847 | + | 1.01762i | ||||
\(304\) | −0.746371 | + | 1.67638i | −0.0428073 | + | 0.0961467i | ||||
\(305\) | 18.2600 | + | 1.91920i | 1.04556 | + | 0.109893i | ||||
\(306\) | 0.901898 | − | 6.98797i | 0.0515580 | − | 0.399475i | ||||
\(307\) | − | 11.9514i | − | 0.682103i | −0.940045 | − | 0.341051i | \(-0.889217\pi\) | ||
0.940045 | − | 0.341051i | \(-0.110783\pi\) | |||||||
\(308\) | −7.51374 | + | 10.6944i | −0.428135 | + | 0.609372i | ||||
\(309\) | 0.251854 | + | 6.20872i | 0.0143275 | + | 0.353202i | ||||
\(310\) | 8.02778 | + | 1.70636i | 0.455947 | + | 0.0969146i | ||||
\(311\) | 0.182598 | − | 1.73730i | 0.0103542 | − | 0.0985134i | −0.988124 | − | 0.153657i | \(-0.950895\pi\) |
0.998478 | + | 0.0551435i | \(0.0175616\pi\) | |||||||
\(312\) | 3.67742 | + | 1.46172i | 0.208193 | + | 0.0827536i | ||||
\(313\) | 12.0304 | − | 10.8322i | 0.679997 | − | 0.612272i | −0.254994 | − | 0.966943i | \(-0.582074\pi\) |
0.934991 | + | 0.354670i | \(0.115407\pi\) | |||||||
\(314\) | 4.43820 | − | 13.6594i | 0.250462 | − | 0.770843i | ||||
\(315\) | −3.34943 | + | 12.4716i | −0.188719 | + | 0.702696i | ||||
\(316\) | −14.6855 | − | 10.6697i | −0.826125 | − | 0.600215i | ||||
\(317\) | −5.31244 | + | 24.9931i | −0.298376 | + | 1.40375i | 0.532093 | + | 0.846686i | \(0.321406\pi\) |
−0.830469 | + | 0.557065i | \(0.811928\pi\) | |||||||
\(318\) | 0.471913 | + | 0.745832i | 0.0264636 | + | 0.0418242i | ||||
\(319\) | 1.32777 | − | 4.81633i | 0.0743410 | − | 0.269663i | ||||
\(320\) | −1.44742 | + | 2.50701i | −0.0809134 | + | 0.140146i | ||||
\(321\) | 20.5204 | − | 7.60004i | 1.14533 | − | 0.424193i | ||||
\(322\) | 5.72763 | + | 0.167862i | 0.319189 | + | 0.00935456i | ||||
\(323\) | −2.96072 | − | 4.07509i | −0.164739 | − | 0.226744i | ||||
\(324\) | 10.4607 | + | 8.38308i | 0.581148 | + | 0.465727i | ||||
\(325\) | −0.448303 | − | 2.10910i | −0.0248674 | − | 0.116992i | ||||
\(326\) | 0.0659406 | − | 0.148105i | 0.00365211 | − | 0.00820278i | ||||
\(327\) | −24.6345 | + | 12.1874i | −1.36229 | + | 0.673963i | ||||
\(328\) | −10.9347 | + | 3.55290i | −0.603768 | + | 0.196176i | ||||
\(329\) | 12.5656 | + | 6.04164i | 0.692761 | + | 0.333086i | ||||
\(330\) | 2.83167 | − | 6.04782i | 0.155879 | − | 0.332922i | ||||
\(331\) | −4.30080 | + | 7.44920i | −0.236393 | + | 0.409445i | −0.959677 | − | 0.281106i | \(-0.909299\pi\) |
0.723284 | + | 0.690551i | \(0.242632\pi\) | |||||||
\(332\) | −8.87175 | + | 9.85307i | −0.486900 | + | 0.540758i | ||||
\(333\) | −0.783579 | + | 33.1471i | −0.0429399 | + | 1.81645i | ||||
\(334\) | 11.1391 | − | 1.17076i | 0.609503 | − | 0.0640613i | ||||
\(335\) | −0.547103 | + | 1.68381i | −0.0298914 | + | 0.0919964i | ||||
\(336\) | −5.38014 | − | 1.08051i | −0.293511 | − | 0.0589465i | ||||
\(337\) | 9.91219 | − | 7.20163i | 0.539952 | − | 0.392298i | −0.284115 | − | 0.958790i | \(-0.591700\pi\) |
0.824067 | + | 0.566492i | \(0.191700\pi\) | |||||||
\(338\) | 3.53399 | + | 7.93747i | 0.192224 | + | 0.431742i | ||||
\(339\) | −15.9178 | − | 13.2044i | −0.864534 | − | 0.717166i | ||||
\(340\) | 3.98279 | + | 6.89839i | 0.215997 | + | 0.374118i | ||||
\(341\) | 1.39381 | − | 23.3740i | 0.0754788 | − | 1.26577i | ||||
\(342\) | −3.27395 | + | 0.266050i | −0.177035 | + | 0.0143864i | ||||
\(343\) | −15.8810 | + | 9.52863i | −0.857492 | + | 0.514498i | ||||
\(344\) | −5.06679 | + | 6.97383i | −0.273183 | + | 0.376004i | ||||
\(345\) | 8.45166 | − | 1.23641i | 0.455022 | − | 0.0665663i | ||||
\(346\) | −0.209319 | − | 0.984771i | −0.0112531 | − | 0.0529416i | ||||
\(347\) | −1.47802 | − | 6.95355i | −0.0793444 | − | 0.373286i | 0.920503 | − | 0.390735i | \(-0.127779\pi\) |
−0.999848 | + | 0.0174486i | \(0.994446\pi\) | |||||||
\(348\) | 3.84522 | − | 0.562527i | 0.206126 | − | 0.0301546i | ||||
\(349\) | −11.5163 | + | 15.8509i | −0.616456 | + | 0.848478i | −0.997089 | − | 0.0762477i | \(-0.975706\pi\) |
0.380633 | + | 0.924726i | \(0.375706\pi\) | |||||||
\(350\) | −1.68942 | − | 4.11488i | −0.0903034 | − | 0.219950i | ||||
\(351\) | −0.577708 | − | 4.72638i | −0.0308358 | − | 0.252276i | ||||
\(352\) | 18.0388 | + | 7.07388i | 0.961471 | + | 0.377039i | ||||
\(353\) | −17.7705 | − | 30.7793i | −0.945826 | − | 1.63822i | −0.754088 | − | 0.656773i | \(-0.771921\pi\) |
−0.191738 | − | 0.981446i | \(-0.561412\pi\) | |||||||
\(354\) | −8.44113 | − | 7.00226i | −0.448641 | − | 0.372166i | ||||
\(355\) | −8.59142 | − | 19.2967i | −0.455985 | − | 1.02416i | ||||
\(356\) | 7.31106 | − | 5.31180i | 0.387485 | − | 0.281525i | ||||
\(357\) | 9.95277 | − | 11.3068i | 0.526757 | − | 0.598418i | ||||
\(358\) | −1.71720 | + | 5.28499i | −0.0907568 | + | 0.279321i | ||||
\(359\) | 24.1722 | − | 2.54060i | 1.27576 | − | 0.134088i | 0.557684 | − | 0.830053i | \(-0.311690\pi\) |
0.718075 | + | 0.695966i | \(0.245023\pi\) | |||||||
\(360\) | 12.1659 | + | 0.287595i | 0.641199 | + | 0.0151576i | ||||
\(361\) | 11.1422 | − | 12.3747i | 0.586432 | − | 0.651298i | ||||
\(362\) | 0.546457 | − | 0.946491i | 0.0287211 | − | 0.0497465i | ||||
\(363\) | −18.2678 | − | 5.41191i | −0.958809 | − | 0.284052i | ||||
\(364\) | 2.03610 | + | 2.98244i | 0.106721 | + | 0.156322i | ||||
\(365\) | −3.96935 | + | 1.28972i | −0.207765 | + | 0.0675071i | ||||
\(366\) | −12.5181 | + | 6.19305i | −0.654330 | + | 0.323716i | ||||
\(367\) | 3.21353 | − | 7.21772i | 0.167745 | − | 0.376762i | −0.810039 | − | 0.586376i | \(-0.800554\pi\) |
0.977784 | + | 0.209614i | \(0.0672208\pi\) | |||||||
\(368\) | 0.754663 | + | 3.55041i | 0.0393396 | + | 0.185078i | ||||
\(369\) | 10.0592 | + | 9.49725i | 0.523659 | + | 0.494407i | ||||
\(370\) | 7.55176 | + | 10.3941i | 0.392597 | + | 0.540364i | ||||
\(371\) | −0.0552751 | + | 1.88605i | −0.00286974 | + | 0.0979188i | ||||
\(372\) | 17.0800 | − | 6.32585i | 0.885558 | − | 0.327980i | ||||
\(373\) | −13.0339 | + | 22.5755i | −0.674872 | + | 1.16891i | 0.301634 | + | 0.953424i | \(0.402468\pi\) |
−0.976506 | + | 0.215489i | \(0.930865\pi\) | |||||||
\(374\) | −6.08877 | + | 4.85842i | −0.314843 | + | 0.251223i | ||||
\(375\) | −11.0791 | − | 17.5099i | −0.572122 | − | 0.904206i | ||||
\(376\) | 2.73175 | − | 12.8519i | 0.140879 | − | 0.662784i | ||||
\(377\) | −1.11674 | − | 0.811357i | −0.0575149 | − | 0.0417870i | ||||
\(378\) | −2.91945 | − | 9.37902i | −0.150160 | − | 0.482405i | ||||
\(379\) | −9.28843 | + | 28.5869i | −0.477115 | + | 1.46841i | 0.365970 | + | 0.930627i | \(0.380737\pi\) |
−0.843084 | + | 0.537781i | \(0.819263\pi\) | |||||||
\(380\) | 2.75964 | − | 2.48479i | 0.141567 | − | 0.127467i | ||||
\(381\) | 13.9879 | + | 5.56000i | 0.716624 | + | 0.284847i | ||||
\(382\) | −0.231258 | + | 2.20028i | −0.0118322 | + | 0.112576i | ||||
\(383\) | 3.51512 | + | 0.747161i | 0.179614 | + | 0.0381782i | 0.296841 | − | 0.954927i | \(-0.404067\pi\) |
−0.117226 | + | 0.993105i | \(0.537400\pi\) | |||||||
\(384\) | 0.731013 | + | 18.0210i | 0.0373043 | + | 0.919628i | ||||
\(385\) | 12.2490 | − | 7.33342i | 0.624268 | − | 0.373746i | ||||
\(386\) | 11.7465i | 0.597879i | ||||||||
\(387\) | 10.2868 | + | 1.32766i | 0.522906 | + | 0.0674885i | ||||
\(388\) | 22.0893 | + | 2.32168i | 1.12142 | + | 0.117865i | ||||
\(389\) | 5.92073 | − | 13.2982i | 0.300193 | − | 0.674245i | −0.698970 | − | 0.715151i | \(-0.746358\pi\) |
0.999163 | + | 0.0409063i | \(0.0130245\pi\) | |||||||
\(390\) | −1.28915 | − | 1.31998i | −0.0652786 | − | 0.0668400i | ||||
\(391\) | −9.47587 | − | 3.07890i | −0.479215 | − | 0.155706i | ||||
\(392\) | 12.2638 | + | 12.4178i | 0.619416 | + | 0.627193i | ||||
\(393\) | −17.6659 | − | 11.7715i | −0.891127 | − | 0.593793i | ||||
\(394\) | 5.61136 | + | 1.19273i | 0.282696 | + | 0.0600889i | ||||
\(395\) | 9.91389 | + | 17.1714i | 0.498822 | + | 0.863985i | ||||
\(396\) | −1.86599 | − | 14.7021i | −0.0937693 | − | 0.738811i | ||||
\(397\) | 9.95480 | + | 5.74741i | 0.499617 | + | 0.288454i | 0.728555 | − | 0.684987i | \(-0.240192\pi\) |
−0.228938 | + | 0.973441i | \(0.573525\pi\) | |||||||
\(398\) | 4.95438 | + | 15.2480i | 0.248341 | + | 0.764314i | ||||
\(399\) | −6.12060 | − | 3.44256i | −0.306413 | − | 0.172344i | ||||
\(400\) | 2.27957 | − | 1.65621i | 0.113979 | − | 0.0828103i | ||||
\(401\) | −22.6373 | + | 20.3827i | −1.13045 | + | 1.01786i | −0.130801 | + | 0.991409i | \(0.541755\pi\) |
−0.999650 | + | 0.0264537i | \(0.991579\pi\) | |||||||
\(402\) | −0.333163 | − | 1.30487i | −0.0166167 | − | 0.0650810i | ||||
\(403\) | −5.91024 | − | 2.63141i | −0.294410 | − | 0.131080i | ||||
\(404\) | 19.4515 | − | 8.66034i | 0.967746 | − | 0.430868i | ||||
\(405\) | −6.71391 | − | 13.0126i | −0.333617 | − | 0.646603i | ||||
\(406\) | −2.56639 | − | 1.23395i | −0.127368 | − | 0.0612397i | ||||
\(407\) | 26.1055 | − | 25.7322i | 1.29400 | − | 1.27550i | ||||
\(408\) | −12.5709 | − | 6.59344i | −0.622351 | − | 0.326424i | ||||
\(409\) | 14.2884 | + | 12.8654i | 0.706517 | + | 0.636151i | 0.941955 | − | 0.335738i | \(-0.108986\pi\) |
−0.235438 | + | 0.971889i | \(0.575652\pi\) | |||||||
\(410\) | 5.33126 | + | 0.560339i | 0.263292 | + | 0.0276731i | ||||
\(411\) | 15.5443 | − | 2.27402i | 0.766746 | − | 0.112169i | ||||
\(412\) | 5.08204 | + | 1.65126i | 0.250374 | + | 0.0813515i | ||||
\(413\) | −6.58911 | − | 22.5020i | −0.324229 | − | 1.10725i | ||||
\(414\) | −4.92984 | + | 4.23223i | −0.242289 | + | 0.208003i | ||||
\(415\) | 13.2303 | − | 5.89052i | 0.649451 | − | 0.289154i | ||||
\(416\) | 3.58221 | − | 3.97844i | 0.175632 | − | 0.195059i | ||||
\(417\) | −25.2018 | + | 15.9460i | −1.23414 | + | 0.780880i | ||||
\(418\) | 2.80561 | + | 2.30558i | 0.137227 | + | 0.112770i | ||||
\(419\) | 9.92549 | 0.484892 | 0.242446 | − | 0.970165i | \(-0.422050\pi\) | ||||
0.242446 | + | 0.970165i | \(0.422050\pi\) | |||||||
\(420\) | 9.05695 | + | 6.42593i | 0.441934 | + | 0.313553i | ||||
\(421\) | 0.826911 | + | 0.600786i | 0.0403012 | + | 0.0292805i | 0.607753 | − | 0.794126i | \(-0.292071\pi\) |
−0.567452 | + | 0.823406i | \(0.692071\pi\) | |||||||
\(422\) | 3.99360 | − | 0.419744i | 0.194405 | − | 0.0204328i | ||||
\(423\) | −15.1469 | + | 4.52866i | −0.736465 | + | 0.220191i | ||||
\(424\) | 1.73926 | − | 0.369690i | 0.0844658 | − | 0.0179538i | ||||
\(425\) | 0.808479 | + | 7.69216i | 0.0392170 | + | 0.373125i | ||||
\(426\) | 13.3709 | + | 8.90956i | 0.647822 | + | 0.431670i | ||||
\(427\) | −29.5902 | − | 3.98955i | −1.43197 | − | 0.193068i | ||||
\(428\) | − | 18.8179i | − | 0.909596i | ||||||
\(429\) | −3.17459 | + | 4.19914i | −0.153271 | + | 0.202736i | ||||
\(430\) | 3.48065 | − | 2.00955i | 0.167852 | − | 0.0969092i | ||||
\(431\) | −11.8494 | − | 10.6693i | −0.570766 | − | 0.513920i | 0.332442 | − | 0.943124i | \(-0.392127\pi\) |
−0.903208 | + | 0.429204i | \(0.858794\pi\) | |||||||
\(432\) | 5.33532 | − | 3.20182i | 0.256695 | − | 0.154048i | ||||
\(433\) | −11.6103 | − | 15.9802i | −0.557957 | − | 0.767962i | 0.433108 | − | 0.901342i | \(-0.357417\pi\) |
−0.991065 | + | 0.133380i | \(0.957417\pi\) | |||||||
\(434\) | −12.9679 | − | 3.15612i | −0.622478 | − | 0.151499i | ||||
\(435\) | −4.08694 | − | 1.14702i | −0.195954 | − | 0.0549955i | ||||
\(436\) | 2.47054 | + | 23.5056i | 0.118318 | + | 1.12572i | ||||
\(437\) | −0.485523 | + | 4.61944i | −0.0232257 | + | 0.220978i | ||||
\(438\) | 2.02694 | − | 2.44345i | 0.0968510 | − | 0.116753i | ||||
\(439\) | −0.262584 | − | 0.151603i | −0.0125324 | − | 0.00723561i | 0.493721 | − | 0.869621i | \(-0.335637\pi\) |
−0.506253 | + | 0.862385i | \(0.668970\pi\) | |||||||
\(440\) | −9.44443 | − | 9.58142i | −0.450245 | − | 0.456776i | ||||
\(441\) | 6.03864 | − | 20.1131i | 0.287554 | − | 0.957764i | ||||
\(442\) | 0.665069 | + | 2.04687i | 0.0316341 | + | 0.0973598i | ||||
\(443\) | 1.57761 | + | 3.54337i | 0.0749545 | + | 0.168351i | 0.947136 | − | 0.320831i | \(-0.103962\pi\) |
−0.872182 | + | 0.489182i | \(0.837296\pi\) | |||||||
\(444\) | 26.4963 | + | 10.5319i | 1.25746 | + | 0.499822i | ||||
\(445\) | −9.65538 | + | 2.05231i | −0.457709 | + | 0.0972890i | ||||
\(446\) | −6.69923 | − | 7.44025i | −0.317218 | − | 0.352306i | ||||
\(447\) | −23.1938 | − | 29.3443i | −1.09703 | − | 1.38794i | ||||
\(448\) | 2.47222 | − | 4.00620i | 0.116801 | − | 0.189275i | ||||
\(449\) | 12.3143 | − | 4.00117i | 0.581149 | − | 0.188827i | −0.00366612 | − | 0.999993i | \(-0.501167\pi\) |
0.584815 | + | 0.811166i | \(0.301167\pi\) | |||||||
\(450\) | 4.55795 | + | 2.15981i | 0.214864 | + | 0.101814i | ||||
\(451\) | −0.690448 | − | 15.2787i | −0.0325119 | − | 0.719444i | ||||
\(452\) | −15.4024 | + | 8.89260i | −0.724469 | + | 0.418273i | ||||
\(453\) | 8.44878 | + | 1.44070i | 0.396958 | + | 0.0676900i | ||||
\(454\) | 1.87460 | − | 2.58017i | 0.0879793 | − | 0.121093i | ||||
\(455\) | −0.706727 | − | 3.88067i | −0.0331319 | − | 0.181929i | ||||
\(456\) | −1.78818 | + | 6.37142i | −0.0837391 | + | 0.298369i | ||||
\(457\) | −7.78056 | − | 8.64119i | −0.363959 | − | 0.404218i | 0.533154 | − | 0.846018i | \(-0.321007\pi\) |
−0.897113 | + | 0.441800i | \(0.854340\pi\) | |||||||
\(458\) | 0.0823399 | + | 0.0366601i | 0.00384749 | + | 0.00171301i | ||||
\(459\) | 0.288764 | + | 17.0777i | 0.0134784 | + | 0.797117i | ||||
\(460\) | 1.52718 | − | 7.18484i | 0.0712054 | − | 0.334995i | ||||
\(461\) | −18.4839 | −0.860883 | −0.430442 | − | 0.902618i | \(-0.641642\pi\) | ||||
−0.430442 | + | 0.902618i | \(0.641642\pi\) | |||||||
\(462\) | −4.89100 | + | 9.69584i | −0.227550 | + | 0.451092i | ||||
\(463\) | 19.2122 | 0.892867 | 0.446434 | − | 0.894817i | \(-0.352694\pi\) | ||||
0.446434 | + | 0.894817i | \(0.352694\pi\) | |||||||
\(464\) | 0.375038 | − | 1.76441i | 0.0174107 | − | 0.0819109i | ||||
\(465\) | −19.8540 | − | 1.27593i | −0.920708 | − | 0.0591699i | ||||
\(466\) | −15.9859 | − | 7.11738i | −0.740532 | − | 0.329706i | ||||
\(467\) | 11.4463 | + | 12.7124i | 0.529669 | + | 0.588257i | 0.947295 | − | 0.320362i | \(-0.103804\pi\) |
−0.417626 | + | 0.908619i | \(0.637138\pi\) | |||||||
\(468\) | −3.98398 | − | 0.945752i | −0.184160 | − | 0.0437174i | ||||
\(469\) | 0.969532 | − | 2.71097i | 0.0447688 | − | 0.125181i | ||||
\(470\) | −3.60077 | + | 4.95604i | −0.166091 | + | 0.228605i | ||||
\(471\) | −5.85238 | + | 34.3204i | −0.269663 | + | 1.58140i | ||||
\(472\) | −19.1353 | + | 11.0478i | −0.880772 | + | 0.508514i | ||||
\(473\) | −7.15193 | − | 8.96309i | −0.328846 | − | 0.412123i | ||||
\(474\) | −13.3566 | − | 7.00555i | −0.613488 | − | 0.321776i | ||||
\(475\) | 3.42928 | − | 1.11424i | 0.157346 | − | 0.0511249i | ||||
\(476\) | −6.14539 | − | 11.4031i | −0.281673 | − | 0.522659i | ||||
\(477\) | −1.39363 | − | 1.62335i | −0.0638099 | − | 0.0743279i | ||||
\(478\) | 6.29242 | + | 6.98844i | 0.287808 | + | 0.319644i | ||||
\(479\) | 39.0282 | − | 8.29570i | 1.78324 | − | 0.379040i | 0.806128 | − | 0.591742i | \(-0.201559\pi\) |
0.977117 | + | 0.212701i | \(0.0682262\pi\) | |||||||
\(480\) | 6.08102 | − | 15.2987i | 0.277559 | − | 0.698288i | ||||
\(481\) | −4.11932 | − | 9.25215i | −0.187825 | − | 0.421862i | ||||
\(482\) | −0.565884 | − | 1.74161i | −0.0257753 | − | 0.0793283i | ||||
\(483\) | −13.7971 | + | 1.60716i | −0.627789 | + | 0.0731285i | ||||
\(484\) | −9.82028 | + | 13.1151i | −0.446376 | + | 0.596139i | ||||
\(485\) | −21.0107 | − | 12.1305i | −0.954047 | − | 0.550819i | ||||
\(486\) | 9.60820 | + | 5.63383i | 0.435837 | + | 0.255556i | ||||
\(487\) | 1.25180 | − | 11.9101i | 0.0567246 | − | 0.539698i | −0.928850 | − | 0.370456i | \(-0.879201\pi\) |
0.985574 | − | 0.169242i | \(-0.0541320\pi\) | |||||||
\(488\) | 2.94113 | + | 27.9829i | 0.133139 | + | 1.26673i | ||||
\(489\) | −0.106195 | + | 0.378380i | −0.00480228 | + | 0.0171109i | ||||
\(490\) | −2.86871 | − | 7.61489i | −0.129595 | − | 0.344006i | ||||
\(491\) | −19.4287 | − | 26.7413i | −0.876803 | − | 1.20682i | −0.977296 | − | 0.211878i | \(-0.932042\pi\) |
0.100493 | − | 0.994938i | \(-0.467958\pi\) | |||||||
\(492\) | 10.6631 | − | 5.27534i | 0.480730 | − | 0.237831i | ||||
\(493\) | 3.67966 | + | 3.31318i | 0.165724 | + | 0.149218i | ||||
\(494\) | 0.868915 | − | 0.501669i | 0.0390944 | − | 0.0225711i | ||||
\(495\) | −4.66984 | + | 15.4998i | −0.209894 | + | 0.696664i | ||||
\(496\) | − | 8.45430i | − | 0.379609i | ||||||
\(497\) | 13.0461 | + | 31.7760i | 0.585197 | + | 1.42535i | ||||
\(498\) | −6.10865 | + | 9.16747i | −0.273735 | + | 0.410804i | ||||
\(499\) | −2.81137 | − | 26.7484i | −0.125854 | − | 1.19742i | −0.857042 | − | 0.515246i | \(-0.827701\pi\) |
0.731188 | − | 0.682176i | \(-0.238966\pi\) | |||||||
\(500\) | −17.4292 | + | 3.70470i | −0.779460 | + | 0.165679i | ||||
\(501\) | −26.3071 | + | 6.71680i | −1.17531 | + | 0.300084i | ||||
\(502\) | −14.7390 | + | 1.54913i | −0.657835 | + | 0.0691413i | ||||
\(503\) | 21.4670 | + | 15.5967i | 0.957168 | + | 0.695423i | 0.952491 | − | 0.304566i | \(-0.0985114\pi\) |
0.00467653 | + | 0.999989i | \(0.498511\pi\) | |||||||
\(504\) | −19.7620 | − | 1.04706i | −0.880268 | − | 0.0466397i | ||||
\(505\) | −23.2576 | −1.03495 | ||||||||
\(506\) | 7.17032 | + | 0.427571i | 0.318759 | + | 0.0190078i | ||||
\(507\) | −11.2618 | − | 17.7986i | −0.500153 | − | 0.790463i | ||||
\(508\) | 8.66145 | − | 9.61951i | 0.384289 | − | 0.426797i | ||||
\(509\) | −28.6055 | + | 12.7360i | −1.26792 | + | 0.564513i | −0.926817 | − | 0.375514i | \(-0.877466\pi\) |
−0.341100 | + | 0.940027i | \(0.610799\pi\) | |||||||
\(510\) | 4.10402 | + | 5.19232i | 0.181729 | + | 0.229920i | ||||
\(511\) | 6.51363 | − | 1.90735i | 0.288146 | − | 0.0843761i | ||||
\(512\) | 12.3325 | + | 4.00708i | 0.545026 | + | 0.177090i | ||||
\(513\) | 7.75946 | − | 1.78695i | 0.342588 | − | 0.0788958i | ||||
\(514\) | −16.3784 | − | 1.72144i | −0.722420 | − | 0.0759294i | ||||
\(515\) | −4.33758 | − | 3.90557i | −0.191137 | − | 0.172100i | ||||
\(516\) | 4.14299 | − | 7.89890i | 0.182385 | − | 0.347730i | ||||
\(517\) | 15.5154 | + | 8.04673i | 0.682366 | + | 0.353895i | ||||
\(518\) | −11.7802 | − | 17.2554i | −0.517593 | − | 0.758158i | ||||
\(519\) | 0.847619 | + | 2.28860i | 0.0372064 | + | 0.100458i | ||||
\(520\) | −3.39579 | + | 1.51191i | −0.148915 | + | 0.0663014i | ||||
\(521\) | 0.756304 | + | 0.336728i | 0.0331343 | + | 0.0147523i | 0.423237 | − | 0.906019i | \(-0.360894\pi\) |
−0.390103 | + | 0.920771i | \(0.627560\pi\) | |||||||
\(522\) | 3.09360 | − | 0.924935i | 0.135403 | − | 0.0404833i | ||||
\(523\) | −17.4710 | + | 15.7309i | −0.763952 | + | 0.687865i | −0.955950 | − | 0.293530i | \(-0.905170\pi\) |
0.191998 | + | 0.981395i | \(0.438503\pi\) | |||||||
\(524\) | −14.7690 | + | 10.7303i | −0.645186 | + | 0.468755i | ||||
\(525\) | 5.49610 | + | 9.27705i | 0.239869 | + | 0.404884i | ||||
\(526\) | −2.93071 | − | 9.01980i | −0.127785 | − | 0.393282i | ||||
\(527\) | 20.0977 | + | 11.6034i | 0.875469 | + | 0.505453i | ||||
\(528\) | −6.70029 | − | 1.55793i | −0.291593 | − | 0.0678002i | ||||
\(529\) | −6.90613 | − | 11.9618i | −0.300267 | − | 0.520077i | ||||
\(530\) | −0.810922 | − | 0.172367i | −0.0352242 | − | 0.00748713i | ||||
\(531\) | 22.7038 | + | 13.8335i | 0.985259 | + | 0.600324i | ||||
\(532\) | −4.60418 | + | 3.90757i | −0.199616 | + | 0.169415i | ||||
\(533\) | −4.01889 | − | 1.30582i | −0.174077 | − | 0.0565611i | ||||
\(534\) | 5.37175 | − | 5.24627i | 0.232458 | − | 0.227028i | ||||
\(535\) | −8.36038 | + | 18.7777i | −0.361451 | + | 0.811831i | ||||
\(536\) | −2.69833 | − | 0.283606i | −0.116550 | − | 0.0122499i | ||||
\(537\) | 2.26436 | − | 13.2790i | 0.0977144 | − | 0.573032i | ||||
\(538\) | − | 6.96883i | − | 0.300447i | ||||||
\(539\) | −20.2601 | + | 11.3370i | −0.872666 | + | 0.488317i | ||||
\(540\) | −12.4989 | + | 1.52774i | −0.537865 | + | 0.0657434i | ||||
\(541\) | −15.6835 | − | 3.33364i | −0.674288 | − | 0.143324i | −0.141973 | − | 0.989871i | \(-0.545345\pi\) |
−0.532315 | + | 0.846546i | \(0.678678\pi\) | |||||||
\(542\) | 1.86175 | − | 17.7134i | 0.0799691 | − | 0.760855i | ||||
\(543\) | −0.978601 | + | 2.46198i | −0.0419958 | + | 0.105654i | ||||
\(544\) | −14.2710 | + | 12.8497i | −0.611864 | + | 0.550925i | ||||
\(545\) | 7.97779 | − | 24.5531i | 0.341731 | − | 1.05174i | ||||
\(546\) | 2.03263 | + | 2.20705i | 0.0869886 | + | 0.0944530i | ||||
\(547\) | 23.0242 | + | 16.7281i | 0.984444 | + | 0.715240i | 0.958697 | − | 0.284428i | \(-0.0918038\pi\) |
0.0257464 | + | 0.999669i | \(0.491804\pi\) | |||||||
\(548\) | 2.80881 | − | 13.2144i | 0.119986 | − | 0.564492i | ||||
\(549\) | 27.8525 | − | 19.2470i | 1.18871 | − | 0.821443i | ||||
\(550\) | −1.96076 | − | 5.21999i | −0.0836071 | − | 0.222581i | ||||
\(551\) | 1.15416 | − | 1.99907i | 0.0491690 | − | 0.0851631i | ||||
\(552\) | 4.54623 | + | 12.2750i | 0.193500 | + | 0.522458i | ||||
\(553\) | −15.2970 | − | 28.3843i | −0.650495 | − | 1.20703i | ||||
\(554\) | 8.04127 | + | 11.0679i | 0.341641 | + | 0.470228i | ||||
\(555\) | −21.7607 | − | 22.2812i | −0.923690 | − | 0.945784i | ||||
\(556\) | 5.33214 | + | 25.0858i | 0.226133 | + | 1.06387i | ||||
\(557\) | 10.5594 | − | 23.7168i | 0.447416 | − | 1.00491i | −0.539248 | − | 0.842147i | \(-0.681291\pi\) |
0.986665 | − | 0.162767i | \(-0.0520418\pi\) | |||||||
\(558\) | 13.2811 | − | 7.25487i | 0.562233 | − | 0.307123i | ||||
\(559\) | −3.01314 | + | 0.979028i | −0.127442 | + | 0.0414085i | ||||
\(560\) | 4.25712 | − | 2.90633i | 0.179896 | − | 0.122815i | ||||
\(561\) | 12.8996 | − | 13.7898i | 0.544621 | − | 0.582206i | ||||
\(562\) | 7.06293 | − | 12.2334i | 0.297932 | − | 0.516033i | ||||
\(563\) | 6.52555 | − | 7.24735i | 0.275019 | − | 0.305440i | −0.589774 | − | 0.807569i | \(-0.700783\pi\) |
0.864793 | + | 0.502129i | \(0.167450\pi\) | |||||||
\(564\) | −0.871908 | + | 13.5673i | −0.0367140 | + | 0.571284i | ||||
\(565\) | 19.3204 | − | 2.03065i | 0.812813 | − | 0.0854301i | ||||
\(566\) | −2.32159 | + | 7.14511i | −0.0975836 | + | 0.300332i | ||||
\(567\) | 10.2936 | + | 21.4719i | 0.432289 | + | 0.901735i | ||||
\(568\) | 26.1880 | − | 19.0267i | 1.09883 | − | 0.798343i | ||||
\(569\) | 10.3225 | + | 23.1846i | 0.432740 | + | 0.971950i | 0.989929 | + | 0.141564i | \(0.0452131\pi\) |
−0.557189 | + | 0.830386i | \(0.688120\pi\) | |||||||
\(570\) | 1.96992 | − | 2.37471i | 0.0825110 | − | 0.0994659i | ||||
\(571\) | 4.01476 | + | 6.95377i | 0.168012 | + | 0.291006i | 0.937721 | − | 0.347389i | \(-0.112932\pi\) |
−0.769709 | + | 0.638395i | \(0.779598\pi\) | |||||||
\(572\) | 2.43810 | + | 3.81420i | 0.101942 | + | 0.159480i | ||||
\(573\) | −0.217373 | − | 5.35868i | −0.00908087 | − | 0.223862i | ||||
\(574\) | −8.63928 | − | 1.16481i | −0.360597 | − | 0.0486181i | ||||
\(575\) | 4.19226 | − | 5.77015i | 0.174829 | − | 0.240632i | ||||
\(576\) | 0.986111 | + | 5.24604i | 0.0410880 | + | 0.218585i | ||||
\(577\) | −0.170861 | − | 0.803837i | −0.00711303 | − | 0.0334642i | 0.974448 | − | 0.224613i | \(-0.0721119\pi\) |
−0.981561 | + | 0.191149i | \(0.938779\pi\) | |||||||
\(578\) | 0.920328 | + | 4.32980i | 0.0382806 | + | 0.180096i | ||||
\(579\) | −4.12176 | − | 28.1748i | −0.171295 | − | 1.17091i | ||||
\(580\) | −2.14562 | + | 2.95319i | −0.0890921 | + | 0.122625i | ||||
\(581\) | −21.7865 | + | 8.94477i | −0.903857 | + | 0.371091i | ||||
\(582\) | 18.4394 | − | 0.747987i | 0.764338 | − | 0.0310050i | ||||
\(583\) | −0.140795 | + | 2.36111i | −0.00583111 | + | 0.0977872i | ||||
\(584\) | −3.19799 | − | 5.53908i | −0.132334 | − | 0.229209i | ||||
\(585\) | 3.55530 | + | 2.71373i | 0.146994 | + | 0.112199i | ||||
\(586\) | 8.90265 | + | 19.9957i | 0.367765 | + | 0.826014i | ||||
\(587\) | 13.2340 | − | 9.61504i | 0.546224 | − | 0.396855i | −0.280167 | − | 0.959951i | \(-0.590390\pi\) |
0.826392 | + | 0.563096i | \(0.190390\pi\) | |||||||
\(588\) | −14.4160 | − | 10.8768i | −0.594504 | − | 0.448552i | ||||
\(589\) | 3.34319 | − | 10.2893i | 0.137754 | − | 0.423962i | ||||
\(590\) | 10.2455 | − | 1.07685i | 0.421801 | − | 0.0443331i | ||||
\(591\) | −13.8778 | − | 0.891866i | −0.570856 | − | 0.0366865i | ||||
\(592\) | 8.85577 | − | 9.83533i | 0.363970 | − | 0.404230i | ||||
\(593\) | −5.32656 | + | 9.22587i | −0.218736 | + | 0.378861i | −0.954422 | − | 0.298462i | \(-0.903527\pi\) |
0.735686 | + | 0.677323i | \(0.236860\pi\) | |||||||
\(594\) | −3.30231 | − | 11.8626i | −0.135495 | − | 0.486727i | ||||
\(595\) | 1.06614 | + | 14.1090i | 0.0437073 | + | 0.578413i | ||||
\(596\) | −30.5910 | + | 9.93961i | −1.25306 | + | 0.407142i | ||||
\(597\) | −17.2339 | − | 34.8351i | −0.705337 | − | 1.42571i | ||||
\(598\) | 0.807223 | − | 1.81305i | 0.0330098 | − | 0.0741412i | ||||
\(599\) | 4.58794 | + | 21.5846i | 0.187458 | + | 0.881921i | 0.966842 | + | 0.255375i | \(0.0821988\pi\) |
−0.779384 | + | 0.626547i | \(0.784468\pi\) | |||||||
\(600\) | 7.26962 | − | 7.09981i | 0.296781 | − | 0.289848i | ||||
\(601\) | −2.64458 | − | 3.63995i | −0.107875 | − | 0.148477i | 0.751666 | − | 0.659544i | \(-0.229250\pi\) |
−0.859541 | + | 0.511067i | \(0.829250\pi\) | |||||||
\(602\) | −5.75353 | + | 3.10071i | −0.234496 | + | 0.126376i | ||||
\(603\) | 1.25699 | + | 3.01293i | 0.0511885 | + | 0.122696i | ||||
\(604\) | 3.68520 | − | 6.38295i | 0.149949 | − | 0.259719i | ||||
\(605\) | 15.6261 | − | 8.72414i | 0.635290 | − | 0.354687i | ||||
\(606\) | 14.9499 | − | 9.45932i | 0.607300 | − | 0.384259i | ||||
\(607\) | −2.77827 | + | 13.0707i | −0.112766 | + | 0.530525i | 0.885110 | + | 0.465383i | \(0.154083\pi\) |
−0.997876 | + | 0.0651418i | \(0.979250\pi\) | |||||||
\(608\) | 7.24271 | + | 5.26214i | 0.293731 | + | 0.213408i | ||||
\(609\) | 6.58868 | + | 2.05919i | 0.266987 | + | 0.0834424i | ||||
\(610\) | 4.05393 | − | 12.4767i | 0.164139 | − | 0.505168i | ||||
\(611\) | 3.58867 | − | 3.23126i | 0.145182 | − | 0.130723i | ||||
\(612\) | 13.8580 | + | 4.86771i | 0.560175 | + | 0.196765i | ||||
\(613\) | −0.696206 | + | 6.62396i | −0.0281195 | + | 0.267539i | 0.971425 | + | 0.237348i | \(0.0762782\pi\) |
−0.999544 | + | 0.0301910i | \(0.990388\pi\) | |||||||
\(614\) | −8.35280 | − | 1.77544i | −0.337091 | − | 0.0716510i | ||||
\(615\) | −12.9841 | + | 0.526693i | −0.523568 | + | 0.0212383i | ||||
\(616\) | 14.8955 | + | 16.0245i | 0.600156 | + | 0.645647i | ||||
\(617\) | 43.8048i | 1.76351i | 0.471703 | + | 0.881757i | \(0.343639\pi\) | ||||
−0.471703 | + | 0.881757i | \(0.656361\pi\) | |||||||
\(618\) | 4.37667 | + | 0.746317i | 0.176055 | + | 0.0300213i | ||||
\(619\) | −4.98562 | − | 0.524009i | −0.200389 | − | 0.0210617i | 0.00380221 | − | 0.999993i | \(-0.498790\pi\) |
−0.204191 | + | 0.978931i | \(0.565456\pi\) | |||||||
\(620\) | −6.95872 | + | 15.6295i | −0.279469 | + | 0.627697i | ||||
\(621\) | 10.3395 | − | 11.8812i | 0.414912 | − | 0.476775i | ||||
\(622\) | −1.18707 | − | 0.385702i | −0.0475971 | − | 0.0154652i | ||||
\(623\) | 15.7926 | − | 2.87607i | 0.632717 | − | 0.115227i | ||||
\(624\) | −1.05392 | + | 1.58166i | −0.0421907 | + | 0.0633171i | ||||
\(625\) | 7.52997 | + | 1.60054i | 0.301199 | + | 0.0640218i | ||||
\(626\) | −5.78342 | − | 10.0172i | −0.231152 | − | 0.400367i | ||||
\(627\) | −7.53849 | − | 4.54565i | −0.301058 | − | 0.181536i | ||||
\(628\) | 25.9286 | + | 14.9699i | 1.03467 | + | 0.597364i | ||||
\(629\) | 11.2263 | + | 34.5510i | 0.447621 | + | 1.37764i | ||||
\(630\) | 8.21879 | + | 4.19363i | 0.327444 | + | 0.167078i | ||||
\(631\) | −2.94676 | + | 2.14094i | −0.117309 | + | 0.0852297i | −0.644893 | − | 0.764273i | \(-0.723098\pi\) |
0.527584 | + | 0.849503i | \(0.323098\pi\) | |||||||
\(632\) | −22.5809 | + | 20.3319i | −0.898219 | + | 0.808760i | ||||
\(633\) | −9.43167 | + | 2.40812i | −0.374875 | + | 0.0957141i | ||||
\(634\) | 16.6784 | + | 7.42569i | 0.662383 | + | 0.294912i | ||||
\(635\) | −12.9167 | + | 5.75089i | −0.512584 | + | 0.228217i | ||||
\(636\) | −1.72533 | + | 0.639002i | −0.0684137 | + | 0.0253381i | ||||
\(637\) | 0.963915 | + | 6.34170i | 0.0381917 | + | 0.251267i | ||||
\(638\) | −3.16887 | − | 1.64347i | −0.125457 | − | 0.0650654i | ||||
\(639\) | −35.1975 | − | 16.6785i | −1.39239 | − | 0.659792i | ||||
\(640\) | −12.5899 | − | 11.3360i | −0.497660 | − | 0.448096i | ||||
\(641\) | −38.0543 | − | 3.99967i | −1.50305 | − | 0.157977i | −0.683066 | − | 0.730357i | \(-0.739354\pi\) |
−0.819989 | + | 0.572379i | \(0.806021\pi\) | |||||||
\(642\) | −2.26324 | − | 15.4706i | −0.0893229 | − | 0.610577i | ||||
\(643\) | 16.7479 | + | 5.44174i | 0.660474 | + | 0.214601i | 0.620027 | − | 0.784581i | \(-0.287122\pi\) |
0.0404475 | + | 0.999182i | \(0.487122\pi\) | |||||||
\(644\) | −2.82472 | + | 11.6062i | −0.111310 | + | 0.457349i | ||||
\(645\) | −7.64346 | + | 6.04140i | −0.300961 | + | 0.237880i | ||||
\(646\) | −3.28790 | + | 1.46387i | −0.129361 | + | 0.0575950i | ||||
\(647\) | −12.8578 | + | 14.2800i | −0.505492 | + | 0.561406i | −0.940838 | − | 0.338858i | \(-0.889960\pi\) |
0.435346 | + | 0.900263i | \(0.356626\pi\) | |||||||
\(648\) | 17.3666 | − | 14.2101i | 0.682224 | − | 0.558227i | ||||
\(649\) | −7.40264 | − | 28.4447i | −0.290579 | − | 1.11655i | ||||
\(650\) | −1.54064 | −0.0604289 | ||||||||
\(651\) | 32.2119 | + | 3.01985i | 1.26249 | + | 0.118357i | ||||
\(652\) | 0.273415 | + | 0.198648i | 0.0107078 | + | 0.00777964i | ||||
\(653\) | 15.5000 | − | 1.62912i | 0.606563 | − | 0.0637524i | 0.203732 | − | 0.979027i | \(-0.434693\pi\) |
0.402831 | + | 0.915274i | \(0.368026\pi\) | |||||||
\(654\) | 4.85814 | + | 19.0274i | 0.189968 | + | 0.744032i | ||||
\(655\) | 19.5047 | − | 4.14586i | 0.762113 | − | 0.161992i | ||||
\(656\) | −0.577214 | − | 5.49182i | −0.0225364 | − | 0.214420i | ||||
\(657\) | −4.00438 | + | 6.57205i | −0.156226 | + | 0.256400i | ||||
\(658\) | 6.08916 | − | 7.88451i | 0.237380 | − | 0.307370i | ||||
\(659\) | − | 11.1978i | − | 0.436205i | −0.975926 | − | 0.218102i | \(-0.930013\pi\) | ||
0.975926 | − | 0.218102i | \(-0.0699867\pi\) | |||||||
\(660\) | 11.1046 | + | 8.39515i | 0.432244 | + | 0.326781i | ||||
\(661\) | −2.30459 | + | 1.33056i | −0.0896381 | + | 0.0517526i | −0.544149 | − | 0.838989i | \(-0.683147\pi\) |
0.454511 | + | 0.890741i | \(0.349814\pi\) | |||||||
\(662\) | 4.56731 | + | 4.11243i | 0.177514 | + | 0.159834i | ||||
\(663\) | −2.31345 | − | 4.67621i | −0.0898471 | − | 0.181609i | ||||
\(664\) | 13.0452 | + | 17.9552i | 0.506254 | + | 0.696799i | ||||
\(665\) | 6.33040 | − | 1.85369i | 0.245482 | − | 0.0718831i | ||||
\(666\) | 23.0500 | + | 5.47181i | 0.893169 | + | 0.212028i | ||||
\(667\) | −0.477271 | − | 4.54093i | −0.0184800 | − | 0.175825i | ||||
\(668\) | −2.44058 | + | 23.2206i | −0.0944290 | + | 0.898432i | ||||
\(669\) | 18.6794 | + | 15.4953i | 0.722186 | + | 0.599083i | ||||
\(670\) | 1.09553 | + | 0.632507i | 0.0423242 | + | 0.0244359i | ||||
\(671\) | −36.9250 | − | 6.12119i | −1.42547 | − | 0.236306i | ||||
\(672\) | −10.6135 | + | 24.5784i | −0.409425 | + | 0.948132i | ||||
\(673\) | −7.34405 | − | 22.6027i | −0.283092 | − | 0.871269i | −0.986964 | − | 0.160941i | \(-0.948547\pi\) |
0.703872 | − | 0.710327i | \(-0.251453\pi\) | |||||||
\(674\) | −3.56069 | − | 7.99744i | −0.137153 | − | 0.308050i | ||||
\(675\) | −11.6905 | − | 3.58111i | −0.449966 | − | 0.137837i | ||||
\(676\) | −17.7166 | + | 3.76579i | −0.681409 | + | 0.144838i | ||||
\(677\) | 3.06146 | + | 3.40009i | 0.117661 | + | 0.130676i | 0.799098 | − | 0.601201i | \(-0.205311\pi\) |
−0.681436 | + | 0.731877i | \(0.738644\pi\) | |||||||
\(678\) | −11.5932 | + | 9.16328i | −0.445234 | + | 0.351914i | ||||
\(679\) | 33.5750 | + | 20.7191i | 1.28849 | + | 0.795127i | ||||
\(680\) | 12.6812 | − | 4.12036i | 0.486300 | − | 0.158008i | ||||
\(681\) | −3.59101 | + | 6.84651i | −0.137608 | + | 0.262359i | ||||
\(682\) | −16.1289 | − | 4.44645i | −0.617609 | − | 0.170263i | ||||
\(683\) | −16.2922 | + | 9.40629i | −0.623403 | + | 0.359922i | −0.778193 | − | 0.628026i | \(-0.783863\pi\) |
0.154790 | + | 0.987947i | \(0.450530\pi\) | |||||||
\(684\) | 0.876485 | − | 6.79107i | 0.0335132 | − | 0.259663i | ||||
\(685\) | −8.67370 | + | 11.9383i | −0.331405 | + | 0.456140i | ||||
\(686\) | 4.30033 | + | 12.5147i | 0.164187 | + | 0.477813i | ||||
\(687\) | −0.210362 | − | 0.0590395i | −0.00802583 | − | 0.00225250i | ||||
\(688\) | −2.77030 | − | 3.07673i | −0.105617 | − | 0.117299i | ||||
\(689\) | 0.597019 | + | 0.265810i | 0.0227446 | + | 0.0101266i | ||||
\(690\) | 0.391411 | − | 6.09051i | 0.0149008 | − | 0.231862i | ||||
\(691\) | −10.6198 | + | 49.9624i | −0.403997 | + | 1.90066i | 0.0296198 | + | 0.999561i | \(0.490570\pi\) |
−0.433617 | + | 0.901097i | \(0.642763\pi\) | |||||||
\(692\) | 2.09872 | 0.0797815 | ||||||||
\(693\) | 8.32923 | − | 24.9725i | 0.316401 | − | 0.948625i | ||||
\(694\) | −5.07938 | −0.192811 | ||||||||
\(695\) | 5.82430 | − | 27.4012i | 0.220928 | − | 1.03939i | ||||
\(696\) | 0.417195 | − | 6.49173i | 0.0158137 | − | 0.246068i | ||||
\(697\) | 13.8475 | + | 6.16529i | 0.524511 | + | 0.233527i | ||||
\(698\) | 9.36732 | + | 10.4035i | 0.354558 | + | 0.393777i | ||||
\(699\) | 40.8409 | + | 11.4622i | 1.54474 | + | 0.433541i | ||||
\(700\) | 9.12269 | − | 1.66138i | 0.344805 | − | 0.0627941i | ||||
\(701\) | −14.5482 | + | 20.0238i | −0.549477 | + | 0.756290i | −0.989941 | − | 0.141480i | \(-0.954814\pi\) |
0.440464 | + | 0.897770i | \(0.354814\pi\) | |||||||
\(702\) | −3.38907 | − | 0.298370i | −0.127912 | − | 0.0112613i | ||||
\(703\) | 14.6672 | − | 8.46811i | 0.553184 | − | 0.319381i | ||||
\(704\) | 3.24962 | − | 4.92596i | 0.122475 | − | 0.185654i | ||||
\(705\) | 6.89769 | − | 13.1509i | 0.259782 | − | 0.495293i | ||||
\(706\) | −24.1515 | + | 7.84729i | −0.908953 | + | 0.295337i | ||||
\(707\) | 37.8052 | + | 1.10797i | 1.42181 | + | 0.0416694i | ||||
\(708\) | 17.9365 | − | 14.1770i | 0.674095 | − | 0.532806i | ||||
\(709\) | −8.24353 | − | 9.15537i | −0.309592 | − | 0.343837i | 0.568189 | − | 0.822898i | \(-0.307644\pi\) |
−0.877782 | + | 0.479061i | \(0.840977\pi\) | |||||||
\(710\) | −14.7627 | + | 3.13790i | −0.554033 | + | 0.117763i | ||||
\(711\) | 34.4950 | + | 12.1166i | 1.29366 | + | 0.454409i | ||||
\(712\) | −6.15278 | − | 13.8194i | −0.230585 | − | 0.517903i | ||||
\(713\) | −6.61293 | − | 20.3525i | −0.247656 | − | 0.762207i | ||||
\(714\) | −6.42373 | − | 8.63564i | −0.240402 | − | 0.323181i | ||||
\(715\) | −0.738335 | − | 4.88925i | −0.0276122 | − | 0.182848i | ||||
\(716\) | −10.0321 | − | 5.79206i | −0.374919 | − | 0.216459i | ||||
\(717\) | −17.5451 | − | 14.5543i | −0.655232 | − | 0.543542i | ||||
\(718\) | 1.81528 | − | 17.2713i | 0.0677458 | − | 0.644558i | ||||
\(719\) | 0.862650 | + | 8.20757i | 0.0321714 | + | 0.306091i | 0.998761 | + | 0.0497620i | \(0.0158463\pi\) |
−0.966590 | + | 0.256329i | \(0.917487\pi\) | |||||||
\(720\) | −1.34996 | + | 5.68672i | −0.0503102 | + | 0.211932i | ||||
\(721\) | 6.86468 | + | 6.55515i | 0.255654 | + | 0.244127i | ||||
\(722\) | −6.99339 | − | 9.62557i | −0.260267 | − | 0.358227i | ||||
\(723\) | 1.96844 | + | 3.97883i | 0.0732070 | + | 0.147974i | ||||
\(724\) | 1.69311 | + | 1.52448i | 0.0629238 | + | 0.0566568i | ||||
\(725\) | −3.06960 | + | 1.77224i | −0.114002 | + | 0.0658192i | ||||
\(726\) | −6.49614 | + | 11.9633i | −0.241094 | + | 0.444000i | ||||
\(727\) | 33.8874i | 1.25682i | 0.777884 | + | 0.628408i | \(0.216293\pi\) | ||||
−0.777884 | + | 0.628408i | \(0.783707\pi\) | |||||||
\(728\) | 5.59189 | − | 2.29583i | 0.207249 | − | 0.0850892i | ||||
\(729\) | −25.0229 | − | 10.1417i | −0.926774 | − | 0.375619i | ||||
\(730\) | 0.311714 | + | 2.96576i | 0.0115371 | + | 0.109768i | ||||
\(731\) | 11.1162 | − | 2.36283i | 0.411149 | − | 0.0873925i | ||||
\(732\) | −7.20245 | − | 28.2092i | −0.266210 | − | 1.04264i | ||||
\(733\) | −24.6627 | + | 2.59216i | −0.910938 | + | 0.0957435i | −0.548391 | − | 0.836222i | \(-0.684759\pi\) |
−0.362547 | + | 0.931965i | \(0.618093\pi\) | |||||||
\(734\) | −4.56705 | − | 3.31816i | −0.168573 | − | 0.122475i | ||||
\(735\) | 9.55285 | + | 17.2583i | 0.352362 | + | 0.636582i | ||||
\(736\) | 17.7083 | 0.652736 | ||||||||
\(737\) | 1.31764 | − | 3.36006i | 0.0485359 | − | 0.123769i | ||||
\(738\) | 8.13193 | − | 5.61945i | 0.299341 | − | 0.206855i | ||||
\(739\) | 13.3842 | − | 14.8647i | 0.492346 | − | 0.546806i | −0.444852 | − | 0.895604i | \(-0.646744\pi\) |
0.937198 | + | 0.348799i | \(0.113410\pi\) | |||||||
\(740\) | −24.4672 | + | 10.8935i | −0.899432 | + | 0.400453i | ||||
\(741\) | −1.90813 | + | 1.50819i | −0.0700969 | + | 0.0554047i | ||||
\(742\) | 1.30994 | + | 0.318814i | 0.0480895 | + | 0.0117040i | ||||
\(743\) | 18.9447 | + | 6.15550i | 0.695013 | + | 0.225824i | 0.635157 | − | 0.772383i | \(-0.280936\pi\) |
0.0598569 | + | 0.998207i | \(0.480936\pi\) | |||||||
\(744\) | −4.41327 | − | 30.1674i | −0.161798 | − | 1.10599i | ||||
\(745\) | 34.9417 | + | 3.67252i | 1.28016 | + | 0.134551i | ||||
\(746\) | 13.8417 | + | 12.4631i | 0.506779 | + | 0.456306i | ||||
\(747\) | 11.4353 | − | 24.1324i | 0.418394 | − | 0.882957i | ||||
\(748\) | −7.26762 | − | 14.5210i | −0.265731 | − | 0.530942i | ||||
\(749\) | 14.4844 | − | 30.1249i | 0.529247 | − | 1.10074i | ||||
\(750\) | −13.8834 | + | 5.14195i | −0.506952 | + | 0.187758i | ||||
\(751\) | 14.9740 | − | 6.66687i | 0.546410 | − | 0.243277i | −0.114917 | − | 0.993375i | \(-0.536660\pi\) |
0.661327 | + | 0.750098i | \(0.269994\pi\) | |||||||
\(752\) | 5.76492 | + | 2.56671i | 0.210225 | + | 0.0935982i | ||||
\(753\) | 34.8091 | − | 8.88756i | 1.26852 | − | 0.323881i | ||||
\(754\) | −0.732951 | + | 0.659952i | −0.0266925 | + | 0.0240341i | ||||
\(755\) | −6.51314 | + | 4.73208i | −0.237038 | + | 0.172218i | ||||
\(756\) | 20.3897 | − | 1.88791i | 0.741565 | − | 0.0686626i | ||||
\(757\) | −3.69337 | − | 11.3670i | −0.134238 | − | 0.413142i | 0.861233 | − | 0.508211i | \(-0.169693\pi\) |
−0.995471 | + | 0.0950689i | \(0.969693\pi\) | |||||||
\(758\) | 18.5994 | + | 10.7384i | 0.675561 | + | 0.390035i | ||||
\(759\) | −17.3486 | + | 1.49046i | −0.629714 | + | 0.0541003i | ||||
\(760\) | −3.10803 | − | 5.38326i | −0.112740 | − | 0.195271i | ||||
\(761\) | −10.0938 | − | 2.14551i | −0.365901 | − | 0.0777747i | 0.0212921 | − | 0.999773i | \(-0.493222\pi\) |
−0.387193 | + | 0.921999i | \(0.626555\pi\) | |||||||
\(762\) | 5.96384 | − | 8.95016i | 0.216047 | − | 0.324230i | ||||
\(763\) | −14.1376 | + | 39.5310i | −0.511815 | + | 1.43112i | ||||
\(764\) | −4.38625 | − | 1.42518i | −0.158689 | − | 0.0515612i | ||||
\(765\) | −11.6658 | − | 11.0141i | −0.421777 | − | 0.398216i | ||||
\(766\) | 1.04438 | − | 2.34571i | 0.0377349 | − | 0.0847539i | ||||
\(767\) | −8.07639 | − | 0.848862i | −0.291621 | − | 0.0306506i | ||||
\(768\) | 18.7794 | + | 3.20229i | 0.677642 | + | 0.115553i | ||||
\(769\) | − | 17.5681i | − | 0.633522i | −0.948505 | − | 0.316761i | \(-0.897405\pi\) | ||
0.948505 | − | 0.316761i | \(-0.102595\pi\) | |||||||
\(770\) | −3.30565 | − | 9.65021i | −0.119127 | − | 0.347769i | ||||
\(771\) | 39.8889 | − | 1.61808i | 1.43656 | − | 0.0582736i | ||||
\(772\) | −23.9517 | − | 5.09109i | −0.862040 | − | 0.183232i | ||||
\(773\) | −2.75869 | + | 26.2472i | −0.0992231 | + | 0.944045i | 0.825756 | + | 0.564027i | \(0.190749\pi\) |
−0.924979 | + | 0.380017i | \(0.875918\pi\) | |||||||
\(774\) | 2.45605 | − | 6.99216i | 0.0882808 | − | 0.251328i | ||||
\(775\) | −12.3454 | + | 11.1159i | −0.443461 | + | 0.399294i | ||||
\(776\) | 11.4891 | − | 35.3598i | 0.412434 | − | 1.26934i | ||||
\(777\) | 34.3106 | + | 37.2548i | 1.23089 | + | 1.33651i | ||||
\(778\) | −8.41450 | − | 6.11349i | −0.301675 | − | 0.219179i | ||||
\(779\) | 1.46920 | − | 6.91206i | 0.0526397 | − | 0.247650i | ||||
\(780\) | 3.25026 | − | 2.05655i | 0.116378 | − | 0.0736362i | ||||
\(781\) | 15.1414 | + | 40.3099i | 0.541803 | + | 1.44240i | ||||
\(782\) | −3.55952 | + | 6.16527i | −0.127288 | + | 0.220469i | ||||
\(783\) | −7.09568 | + | 3.30405i | −0.253579 | + | 0.118077i | ||||
\(784\) | −7.05841 | + | 4.52144i | −0.252086 | + | 0.161480i | ||||
\(785\) | −19.2225 | − | 26.4575i | −0.686081 | − | 0.944309i | ||||
\(786\) | −10.8514 | + | 10.5979i | −0.387057 | + | 0.378015i | ||||
\(787\) | 3.94815 | + | 18.5746i | 0.140736 | + | 0.662112i | 0.990789 | + | 0.135414i | \(0.0432366\pi\) |
−0.850053 | + | 0.526697i | \(0.823430\pi\) | |||||||
\(788\) | −4.86409 | + | 10.9249i | −0.173276 | + | 0.389184i | ||||
\(789\) | 10.1945 | + | 20.6063i | 0.362935 | + | 0.733604i | ||||
\(790\) | 13.4738 | − | 4.37789i | 0.479375 | − | 0.155758i | ||||
\(791\) | −31.5020 | + | 2.38042i | −1.12008 | + | 0.0846381i | ||||
\(792\) | −24.7219 | − | 2.06150i | −0.878454 | − | 0.0732522i | ||||
\(793\) | −5.17068 | + | 8.95588i | −0.183616 | + | 0.318033i | ||||
\(794\) | 5.49568 | − | 6.10357i | 0.195034 | − | 0.216608i | ||||
\(795\) | 2.00554 | + | 0.128887i | 0.0711292 | + | 0.00457117i | ||||
\(796\) | −33.2389 | + | 3.49354i | −1.17812 | + | 0.123825i | ||||
\(797\) | 10.7645 | − | 33.1299i | 0.381300 | − | 1.17352i | −0.557829 | − | 0.829956i | \(-0.688366\pi\) |
0.939129 | − | 0.343564i | \(-0.111634\pi\) | |||||||
\(798\) | −3.31524 | + | 3.76626i | −0.117358 | + | 0.133324i | ||||
\(799\) | −14.0139 | + | 10.1817i | −0.495776 | + | 0.360203i | ||||
\(800\) | −5.59128 | − | 12.5582i | −0.197682 | − | 0.444000i | ||||
\(801\) | −11.0437 | + | 14.4685i | −0.390209 | + | 0.511219i | ||||
\(802\) | 10.8825 | + | 18.8491i | 0.384275 | + | 0.665583i | ||||
\(803\) | 8.23387 | − | 2.14284i | 0.290567 | − | 0.0756191i | ||||
\(804\) | 2.80510 | − | 0.113788i | 0.0989283 | − | 0.00401298i | ||||
\(805\) | 7.97508 | − | 10.3265i | 0.281085 | − | 0.363961i | ||||
\(806\) | −2.71708 | + | 3.73973i | −0.0957049 | + | 0.131727i | ||||
\(807\) | 2.44532 | + | 16.7153i | 0.0860793 | + | 0.588406i | ||||
\(808\) | −7.41031 | − | 34.8628i | −0.260694 | − | 1.22647i | ||||
\(809\) | 8.68773 | + | 40.8726i | 0.305444 | + | 1.43700i | 0.816445 | + | 0.577423i | \(0.195942\pi\) |
−0.511001 | + | 0.859580i | \(0.670725\pi\) | |||||||
\(810\) | −10.0919 | + | 2.75924i | −0.354592 | + | 0.0969498i | ||||
\(811\) | 15.3106 | − | 21.0733i | 0.537629 | − | 0.739983i | −0.450640 | − | 0.892706i | \(-0.648804\pi\) |
0.988269 | + | 0.152723i | \(0.0488041\pi\) | |||||||
\(812\) | 3.62840 | − | 4.69821i | 0.127332 | − | 0.164875i | ||||
\(813\) | 1.74996 | + | 43.1402i | 0.0613739 | + | 1.51299i | ||||
\(814\) | −14.1061 | − | 22.0677i | −0.494417 | − | 0.773471i | ||||
\(815\) | −0.184577 | − | 0.319696i | −0.00646544 | − | 0.0111985i | ||||
\(816\) | 4.35284 | − | 5.24729i | 0.152380 | − | 0.183692i | ||||
\(817\) | −2.15491 | − | 4.84001i | −0.0753908 | − | 0.169331i | ||||
\(818\) | 11.1142 | − | 8.07492i | 0.388598 | − | 0.282333i | ||||
\(819\) | −5.64987 | − | 4.58054i | −0.197422 | − | 0.160057i | ||||
\(820\) | −3.45321 | + | 10.6279i | −0.120591 | + | 0.371142i | ||||
\(821\) | 14.3357 | − | 1.50675i | 0.500320 | − | 0.0525858i | 0.148993 | − | 0.988838i | \(-0.452397\pi\) |
0.351328 | + | 0.936253i | \(0.385730\pi\) | |||||||
\(822\) | 0.719885 | − | 11.2017i | 0.0251089 | − | 0.390705i | ||||
\(823\) | 9.40183 | − | 10.4418i | 0.327727 | − | 0.363978i | −0.556653 | − | 0.830745i | \(-0.687915\pi\) |
0.884380 | + | 0.466767i | \(0.154581\pi\) | |||||||
\(824\) | 4.47237 | − | 7.74636i | 0.155802 | − | 0.269857i | ||||
\(825\) | 6.53470 | + | 11.8325i | 0.227509 | + | 0.411956i | ||||
\(826\) | −16.7054 | + | 1.26233i | −0.581255 | + | 0.0439220i | ||||
\(827\) | −39.0428 | + | 12.6858i | −1.35765 | + | 0.441128i | −0.895258 | − | 0.445548i | \(-0.853009\pi\) |
−0.462393 | + | 0.886675i | \(0.653009\pi\) | |||||||
\(828\) | −6.49308 | − | 11.8865i | −0.225650 | − | 0.413086i | ||||
\(829\) | 13.7683 | − | 30.9240i | 0.478191 | − | 1.07404i | −0.499943 | − | 0.866059i | \(-0.666646\pi\) |
0.978134 | − | 0.207977i | \(-0.0666878\pi\) | |||||||
\(830\) | −2.15143 | − | 10.1217i | −0.0746773 | − | 0.351329i | ||||
\(831\) | −23.1713 | − | 23.7255i | −0.803802 | − | 0.823028i | ||||
\(832\) | −0.958377 | − | 1.31909i | −0.0332257 | − | 0.0457313i | ||||
\(833\) | −1.06086 | − | 22.9850i | −0.0367568 | − | 0.796383i | ||||
\(834\) | 7.40077 | + | 19.9823i | 0.256268 | + | 0.691931i | ||||
\(835\) | 12.7518 | − | 22.0867i | 0.441294 | − | 0.764343i | ||||
\(836\) | −5.91721 | + | 4.72152i | −0.204651 | + | 0.163297i | ||||
\(837\) | −29.3100 | + | 22.0616i | −1.01310 | + | 0.762561i | ||||
\(838\) | 1.47448 | − | 6.93689i | 0.0509351 | − | 0.239631i | ||||
\(839\) | 34.6610 | + | 25.1827i | 1.19663 | + | 0.869403i | 0.993949 | − | 0.109842i | \(-0.0350345\pi\) |
0.202681 | + | 0.979245i | \(0.435035\pi\) | |||||||
\(840\) | 13.6735 | − | 12.5929i | 0.471781 | − | 0.434497i | ||||
\(841\) | 8.26031 | − | 25.4226i | 0.284838 | − | 0.876642i | ||||
\(842\) | 0.542729 | − | 0.488676i | 0.0187037 | − | 0.0168409i | ||||
\(843\) | −12.6484 | + | 31.8210i | −0.435633 | + | 1.09597i | ||||
\(844\) | −0.875002 | + | 8.32509i | −0.0301188 | + | 0.286561i | ||||
\(845\) | 19.3519 | + | 4.11337i | 0.665725 | + | 0.141504i | ||||
\(846\) | 0.914926 | + | 11.2588i | 0.0314558 | + | 0.387087i | ||||
\(847\) | −25.8158 | + | 13.4367i | −0.887041 | + | 0.461690i | ||||
\(848\) | 0.854006i | 0.0293267i | ||||||||
\(849\) | 3.06133 | − | 17.9527i | 0.105065 | − | 0.616137i | ||||
\(850\) | 5.49613 | + | 0.577666i | 0.188516 | + | 0.0198138i | ||||
\(851\) | 13.6258 | − | 30.6041i | 0.467087 | − | 1.04910i | ||||
\(852\) | −23.9622 | + | 23.4025i | −0.820933 | + | 0.801756i | ||||
\(853\) | −30.9669 | − | 10.0618i | −1.06029 | − | 0.344508i | −0.273590 | − | 0.961846i | \(-0.588211\pi\) |
−0.786698 | + | 0.617338i | \(0.788211\pi\) | |||||||
\(854\) | −7.18405 | + | 20.0878i | −0.245833 | + | 0.687391i | ||||
\(855\) | −3.89174 | + | 6.38717i | −0.133095 | + | 0.218437i | ||||
\(856\) | −30.8113 | − | 6.54915i | −1.05311 | − | 0.223845i | ||||
\(857\) | −1.86787 | − | 3.23525i | −0.0638052 | − | 0.110514i | 0.832358 | − | 0.554238i | \(-0.186990\pi\) |
−0.896163 | + | 0.443724i | \(0.853657\pi\) | |||||||
\(858\) | 2.46316 | + | 2.84251i | 0.0840910 | + | 0.0970418i | ||||
\(859\) | −31.6593 | − | 18.2785i | −1.08020 | − | 0.623654i | −0.149251 | − | 0.988799i | \(-0.547686\pi\) |
−0.930951 | + | 0.365145i | \(0.881019\pi\) | |||||||
\(860\) | 2.58902 | + | 7.96820i | 0.0882850 | + | 0.271713i | ||||
\(861\) | 21.1307 | − | 0.237592i | 0.720133 | − | 0.00809711i | ||||
\(862\) | −9.21699 | + | 6.69654i | −0.313932 | + | 0.228085i | ||||
\(863\) | −17.0001 | + | 15.3070i | −0.578690 | + | 0.521055i | −0.905674 | − | 0.423975i | \(-0.860635\pi\) |
0.326984 | + | 0.945030i | \(0.393968\pi\) | |||||||
\(864\) | −9.86750 | − | 28.7082i | −0.335699 | − | 0.976673i | ||||
\(865\) | −2.09425 | − | 0.932418i | −0.0712065 | − | 0.0317032i | ||||
\(866\) | −12.8933 | + | 5.74047i | −0.438133 | + | 0.195069i | ||||
\(867\) | −3.72678 | − | 10.0624i | −0.126568 | − | 0.341738i | ||||
\(868\) | 12.0560 | − | 25.0743i | 0.409207 | − | 0.851078i | ||||
\(869\) | −18.0905 | − | 36.1456i | −0.613677 | − | 1.22615i | ||||
\(870\) | −1.40879 | + | 2.68595i | −0.0477623 | + | 0.0910622i | ||||
\(871\) | −0.741058 | − | 0.667252i | −0.0251098 | − | 0.0226090i | ||||
\(872\) | 39.3466 | + | 4.13550i | 1.33245 | + | 0.140046i | ||||
\(873\) | −43.9659 | + | 8.26438i | −1.48802 | + | 0.279707i | ||||
\(874\) | 3.15639 | + | 1.02557i | 0.106766 | + | 0.0346905i | ||||
\(875\) | −30.7535 | − | 7.48478i | −1.03966 | − | 0.253032i | ||||
\(876\) | 4.10382 | + | 5.19207i | 0.138655 | + | 0.175424i | ||||
\(877\) | −22.7872 | + | 10.1455i | −0.769470 | + | 0.342590i | −0.753643 | − | 0.657284i | \(-0.771705\pi\) |
−0.0158278 | + | 0.999875i | \(0.505038\pi\) | |||||||
\(878\) | −0.144963 | + | 0.160998i | −0.00489226 | + | 0.00543341i | ||||
\(879\) | −28.3701 | − | 44.8373i | −0.956898 | − | 1.51232i | ||||
\(880\) | 5.44438 | − | 3.48014i | 0.183530 | − | 0.117316i | ||||
\(881\) | 34.4345 | 1.16013 | 0.580063 | − | 0.814571i | \(-0.303028\pi\) | ||||
0.580063 | + | 0.814571i | \(0.303028\pi\) | |||||||
\(882\) | −13.1599 | − | 7.20828i | −0.443116 | − | 0.242715i | ||||
\(883\) | 15.5623 | + | 11.3067i | 0.523714 | + | 0.380501i | 0.818001 | − | 0.575216i | \(-0.195082\pi\) |
−0.294287 | + | 0.955717i | \(0.595082\pi\) | |||||||
\(884\) | −4.46194 | + | 0.468968i | −0.150071 | + | 0.0157731i | ||||
\(885\) | −24.1968 | + | 6.17799i | −0.813366 | + | 0.207671i | ||||
\(886\) | 2.71081 | − | 0.576200i | 0.0910714 | − | 0.0193578i | ||||
\(887\) | 2.53870 | + | 24.1542i | 0.0852414 | + | 0.811017i | 0.950716 | + | 0.310064i | \(0.100351\pi\) |
−0.865474 | + | 0.500953i | \(0.832983\pi\) | |||||||
\(888\) | 26.4658 | − | 39.7182i | 0.888135 | − | 1.33286i | ||||
\(889\) | 21.2701 | − | 8.73273i | 0.713376 | − | 0.292887i | ||||
\(890\) | 7.05299i | 0.236417i | ||||||||
\(891\) | 12.0834 | + | 27.2945i | 0.404808 | + | 0.914402i | ||||
\(892\) | 18.0746 | − | 10.4354i | 0.605183 | − | 0.349403i | ||||
\(893\) | 6.00119 | + | 5.40350i | 0.200822 | + | 0.180821i | ||||
\(894\) | −23.9542 | + | 11.8508i | −0.801147 | + | 0.396350i | ||||
\(895\) | 7.43744 | + | 10.2368i | 0.248606 | + | 0.342177i | ||||
\(896\) | 19.9249 | + | 19.0265i | 0.665644 | + | 0.635630i | ||||
\(897\) | −1.30000 | + | 4.63200i | −0.0434057 | + | 0.154658i | ||||
\(898\) | −0.967047 | − | 9.20084i | −0.0322708 | − | 0.307036i | ||||
\(899\) | −1.11165 | + | 10.5766i | −0.0370756 | + | 0.352751i | ||||
\(900\) | −6.37945 | + | 8.35781i | −0.212648 | + | 0.278594i | ||||
\(901\) | −2.03016 | − | 1.17211i | −0.0676343 | − | 0.0390487i | ||||
\(902\) | −10.7808 | − | 1.78717i | −0.358961 | − | 0.0595063i | ||||
\(903\) | 12.7123 | − | 9.45618i | 0.423038 | − | 0.314682i | ||||
\(904\) | 9.19976 | + | 28.3139i | 0.305979 | + | 0.941708i | ||||
\(905\) | −1.01220 | − | 2.27344i | −0.0336466 | − | 0.0755716i | ||||
\(906\) | 2.26201 | − | 5.69080i | 0.0751503 | − | 0.189064i | ||||
\(907\) | 20.4213 | − | 4.34069i | 0.678080 | − | 0.144130i | 0.144017 | − | 0.989575i | \(-0.453998\pi\) |
0.534063 | + | 0.845445i | \(0.320665\pi\) | |||||||
\(908\) | 4.44862 | + | 4.94069i | 0.147633 | + | 0.163963i | ||||
\(909\) | −32.5394 | + | 27.9348i | −1.07926 | + | 0.926538i | ||||
\(910\) | −2.81717 | − | 0.0825638i | −0.0933884 | − | 0.00273696i | ||||
\(911\) | 16.5900 | − | 5.39041i | 0.549650 | − | 0.178592i | −0.0210089 | − | 0.999779i | \(-0.506688\pi\) |
0.570659 | + | 0.821187i | \(0.306688\pi\) | |||||||
\(912\) | −2.81468 | − | 1.47631i | −0.0932034 | − | 0.0488854i | ||||
\(913\) | −27.6376 | + | 10.3814i | −0.914672 | + | 0.343574i | ||||
\(914\) | −7.19514 | + | 4.15411i | −0.237994 | + | 0.137406i | ||||
\(915\) | −5.34567 | + | 31.3489i | −0.176722 | + | 1.03636i | ||||
\(916\) | −0.110439 | + | 0.152007i | −0.00364902 | + | 0.00502244i | ||||
\(917\) | −31.9025 | + | 5.80991i | −1.05351 | + | 0.191860i | ||||
\(918\) | 11.9784 | + | 2.33516i | 0.395347 | + | 0.0770716i | ||||
\(919\) | −15.1897 | − | 16.8699i | −0.501064 | − | 0.556487i | 0.438558 | − | 0.898703i | \(-0.355489\pi\) |
−0.939622 | + | 0.342215i | \(0.888823\pi\) | |||||||
\(920\) | −11.2325 | − | 5.00105i | −0.370326 | − | 0.164880i | ||||
\(921\) | 20.6578 | + | 1.32759i | 0.680699 | + | 0.0437455i | ||||
\(922\) | −2.74588 | + | 12.9184i | −0.0904309 | + | 0.425444i | ||||
\(923\) | 11.8972 | 0.391600 | ||||||||
\(924\) | −17.6505 | − | 14.1753i | −0.580660 | − | 0.466335i | ||||
\(925\) | −26.0058 | −0.855067 | ||||||||
\(926\) | 2.85407 | − | 13.4274i | 0.0937906 | − | 0.441250i | ||||
\(927\) | −10.7597 | − | 0.254353i | −0.353394 | − | 0.00835403i | ||||
\(928\) | −8.03949 | − | 3.57941i | −0.263909 | − | 0.117500i | ||||
\(929\) | −2.27164 | − | 2.52291i | −0.0745302 | − | 0.0827741i | 0.704726 | − | 0.709479i | \(-0.251070\pi\) |
−0.779257 | + | 0.626705i | \(0.784403\pi\) | |||||||
\(930\) | −3.84116 | + | 13.6864i | −0.125957 | + | 0.448793i | ||||
\(931\) | −10.3784 | + | 2.71161i | −0.340138 | + | 0.0888693i | ||||
\(932\) | 21.4412 | − | 29.5113i | 0.702331 | − | 0.966676i | ||||
\(933\) | 2.98262 | + | 0.508601i | 0.0976465 | + | 0.0166508i | ||||
\(934\) | 10.5850 | − | 6.11126i | 0.346352 | − | 0.199967i | ||||
\(935\) | 0.800724 | + | 17.7189i | 0.0261865 | + | 0.579470i | ||||
\(936\) | −2.93506 | + | 6.19400i | −0.0959354 | + | 0.202457i | ||||
\(937\) | 22.3356 | − | 7.25727i | 0.729672 | − | 0.237085i | 0.0794603 | − | 0.996838i | \(-0.474680\pi\) |
0.650211 | + | 0.759753i | \(0.274680\pi\) | |||||||
\(938\) | −1.75066 | − | 1.08033i | −0.0571611 | − | 0.0352741i | ||||
\(939\) | 17.3869 | + | 21.9976i | 0.567401 | + | 0.717865i | ||||
\(940\) | −8.54501 | − | 9.49019i | −0.278707 | − | 0.309536i | ||||
\(941\) | 20.8268 | − | 4.42688i | 0.678936 | − | 0.144312i | 0.144479 | − | 0.989508i | \(-0.453849\pi\) |
0.534457 | + | 0.845196i | \(0.320516\pi\) | |||||||
\(942\) | 23.1170 | + | 9.18868i | 0.753193 | + | 0.299383i | ||||
\(943\) | −5.68525 | − | 12.7693i | −0.185137 | − | 0.415825i | ||||
\(944\) | −3.27935 | − | 10.0928i | −0.106734 | − | 0.328493i | ||||
\(945\) | −21.1849 | − | 7.17482i | −0.689146 | − | 0.233397i | ||||
\(946\) | −7.32673 | + | 3.66695i | −0.238213 | + | 0.119223i | ||||
\(947\) | 2.73689 | + | 1.58014i | 0.0889369 | + | 0.0513477i | 0.543809 | − | 0.839209i | \(-0.316982\pi\) |
−0.454872 | + | 0.890557i | \(0.650315\pi\) | |||||||
\(948\) | 20.0736 | − | 24.1985i | 0.651962 | − | 0.785931i | ||||
\(949\) | 0.245720 | − | 2.33787i | 0.00797640 | − | 0.0758904i | ||||
\(950\) | −0.269302 | − | 2.56224i | −0.00873731 | − | 0.0831300i | ||||
\(951\) | −42.6100 | − | 11.9588i | −1.38172 | − | 0.387789i | ||||
\(952\) | −20.8095 | + | 6.09352i | −0.674440 | + | 0.197492i | ||||
\(953\) | −27.2254 | − | 37.4725i | −0.881917 | − | 1.21385i | −0.975886 | − | 0.218280i | \(-0.929956\pi\) |
0.0939693 | − | 0.995575i | \(-0.470044\pi\) | |||||||
\(954\) | −1.34158 | + | 0.732846i | −0.0434353 | + | 0.0237268i | ||||
\(955\) | 3.74372 | + | 3.37086i | 0.121144 | + | 0.109078i | ||||
\(956\) | −16.9770 | + | 9.80169i | −0.549076 | + | 0.317009i | ||||
\(957\) | 8.17746 | + | 2.83004i | 0.264340 | + | 0.0914823i | ||||
\(958\) | − | 28.5091i | − | 0.921086i | ||||||
\(959\) | 14.6678 | − | 18.9925i | 0.473649 | − | 0.613301i | ||||
\(960\) | −4.17255 | − | 2.78033i | −0.134668 | − | 0.0897349i | ||||
\(961\) | 1.96975 | + | 18.7410i | 0.0635405 | + | 0.604547i | ||||
\(962\) | −7.07825 | + | 1.50453i | −0.228212 | + | 0.0485079i | ||||
\(963\) | 10.8571 | + | 36.3134i | 0.349865 | + | 1.17018i | ||||
\(964\) | 3.79651 | − | 0.399029i | 0.122277 | − | 0.0128519i | ||||
\(965\) | 21.6387 | + | 15.7215i | 0.696575 | + | 0.506091i | ||||
\(966\) | −0.926385 | + | 9.88149i | −0.0298059 | + | 0.317932i | ||||
\(967\) | −13.0552 | −0.419825 | −0.209913 | − | 0.977720i | \(-0.567318\pi\) | ||||
−0.209913 | + | 0.977720i | \(0.567318\pi\) | |||||||
\(968\) | 18.0561 | + | 20.6436i | 0.580346 | + | 0.663510i | ||||
\(969\) | 7.37261 | − | 4.66490i | 0.236842 | − | 0.149858i | ||||
\(970\) | −11.5992 | + | 12.8823i | −0.372429 | + | 0.413624i | ||||
\(971\) | 17.5861 | − | 7.82985i | 0.564366 | − | 0.251272i | −0.104664 | − | 0.994508i | \(-0.533377\pi\) |
0.669029 | + | 0.743236i | \(0.266710\pi\) | |||||||
\(972\) | −15.6520 | + | 17.1499i | −0.502039 | + | 0.550083i | ||||
\(973\) | −10.7728 | + | 44.2632i | −0.345359 | + | 1.41901i | ||||
\(974\) | −8.13797 | − | 2.64419i | −0.260757 | − | 0.0847252i | ||||
\(975\) | 3.69535 | − | 0.540602i | 0.118346 | − | 0.0173131i | ||||
\(976\) | −13.4399 | − | 1.41259i | −0.430200 | − | 0.0452158i | ||||
\(977\) | 8.96956 | + | 8.07623i | 0.286962 | + | 0.258381i | 0.800021 | − | 0.599971i | \(-0.204821\pi\) |
−0.513060 | + | 0.858353i | \(0.671488\pi\) | |||||||
\(978\) | 0.248673 | + | 0.130429i | 0.00795167 | + | 0.00417067i | ||||
\(979\) | 19.8971 | − | 3.00470i | 0.635914 | − | 0.0960305i | ||||
\(980\) | 16.7705 | − | 2.54906i | 0.535715 | − | 0.0814267i | ||||
\(981\) | −18.3292 | − | 43.9341i | −0.585207 | − | 1.40271i | ||||
\(982\) | −21.5756 | + | 9.60608i | −0.688505 | + | 0.306542i | ||||
\(983\) | 2.17248 | + | 0.967249i | 0.0692913 | + | 0.0308505i | 0.441090 | − | 0.897463i | \(-0.354592\pi\) |
−0.371798 | + | 0.928313i | \(0.621259\pi\) | |||||||
\(984\) | −4.92648 | − | 19.2951i | −0.157051 | − | 0.615106i | ||||
\(985\) | 9.70742 | − | 8.74060i | 0.309304 | − | 0.278499i | ||||
\(986\) | 2.86220 | − | 2.07951i | 0.0911511 | − | 0.0662252i | ||||
\(987\) | −11.8387 | + | 21.0483i | −0.376830 | + | 0.669973i | ||||
\(988\) | 0.646329 | + | 1.98920i | 0.0205625 | + | 0.0632848i | ||||
\(989\) | −9.07570 | − | 5.23986i | −0.288590 | − | 0.166618i | ||||
\(990\) | 10.1390 | + | 5.56631i | 0.322239 | + | 0.176909i | ||||
\(991\) | −4.68374 | − | 8.11248i | −0.148784 | − | 0.257702i | 0.781994 | − | 0.623286i | \(-0.214203\pi\) |
−0.930778 | + | 0.365584i | \(0.880869\pi\) | |||||||
\(992\) | −40.3445 | − | 8.57549i | −1.28094 | − | 0.272272i | ||||
\(993\) | −12.3981 | − | 8.26133i | −0.393441 | − | 0.262166i | ||||
\(994\) | 24.1462 | − | 4.39738i | 0.765871 | − | 0.139476i | ||||
\(995\) | 34.7200 | + | 11.2812i | 1.10070 | + | 0.357639i | ||||
\(996\) | −16.0454 | − | 16.4292i | −0.508418 | − | 0.520579i | ||||
\(997\) | 2.01356 | − | 4.52254i | 0.0637702 | − | 0.143230i | −0.878849 | − | 0.477100i | \(-0.841688\pi\) |
0.942619 | + | 0.333870i | \(0.108355\pi\) | |||||||
\(998\) | −19.1120 | − | 2.00875i | −0.604980 | − | 0.0635859i | ||||
\(999\) | −57.2072 | − | 5.03646i | −1.80996 | − | 0.159346i |
(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 | 231.2.bc.a.5.17 | yes | 224 | |
3.2 | odd | 2 | inner | 231.2.bc.a.5.12 | ✓ | 224 | |
7.3 | odd | 6 | inner | 231.2.bc.a.38.17 | yes | 224 | |
11.9 | even | 5 | inner | 231.2.bc.a.152.12 | yes | 224 | |
21.17 | even | 6 | inner | 231.2.bc.a.38.12 | yes | 224 | |
33.20 | odd | 10 | inner | 231.2.bc.a.152.17 | yes | 224 | |
77.31 | odd | 30 | inner | 231.2.bc.a.185.12 | yes | 224 | |
231.185 | even | 30 | inner | 231.2.bc.a.185.17 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
231.2.bc.a.5.12 | ✓ | 224 | 3.2 | odd | 2 | inner | |
231.2.bc.a.5.17 | yes | 224 | 1.1 | even | 1 | trivial | |
231.2.bc.a.38.12 | yes | 224 | 21.17 | even | 6 | inner | |
231.2.bc.a.38.17 | yes | 224 | 7.3 | odd | 6 | inner | |
231.2.bc.a.152.12 | yes | 224 | 11.9 | even | 5 | inner | |
231.2.bc.a.152.17 | yes | 224 | 33.20 | odd | 10 | inner | |
231.2.bc.a.185.12 | yes | 224 | 77.31 | odd | 30 | inner | |
231.2.bc.a.185.17 | yes | 224 | 231.185 | even | 30 | inner |