Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [403,2,Mod(4,403)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(403, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([5, 18]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("403.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 403 = 13 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 403.bs (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: | \(3.21797120146\) |
Analytic rank: | \(0\) |
Dimension: | \(288\) |
Relative dimension: | \(36\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 101.10 | ||
Character | \(\chi\) | \(=\) | 403.101 |
Dual form | 403.2.bs.a.4.10 |
$q$-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 \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).
\(n\) | \(249\) | \(313\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{2}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.323679 | − | 1.52279i | −0.228876 | − | 1.07678i | −0.931084 | − | 0.364804i | \(-0.881136\pi\) |
0.702208 | − | 0.711971i | \(-0.252197\pi\) | |||||||
\(3\) | 0.859963 | − | 0.955086i | 0.496500 | − | 0.551419i | −0.441858 | − | 0.897085i | \(-0.645680\pi\) |
0.938358 | + | 0.345666i | \(0.112347\pi\) | |||||||
\(4\) | −0.387033 | + | 0.172318i | −0.193516 | + | 0.0861591i | ||||
\(5\) | − | 2.26589i | − | 1.01334i | −0.862141 | − | 0.506669i | \(-0.830877\pi\) | ||
0.862141 | − | 0.506669i | \(-0.169123\pi\) | |||||||
\(6\) | −1.73275 | − | 1.00040i | −0.707392 | − | 0.408413i | ||||
\(7\) | −1.51411 | − | 3.40074i | −0.572279 | − | 1.28536i | −0.935392 | − | 0.353614i | \(-0.884953\pi\) |
0.363113 | − | 0.931745i | \(-0.381714\pi\) | |||||||
\(8\) | −1.44246 | − | 1.98538i | −0.509987 | − | 0.701937i | ||||
\(9\) | 0.140933 | + | 1.34089i | 0.0469777 | + | 0.446963i | ||||
\(10\) | −3.45048 | + | 0.733422i | −1.09114 | + | 0.231928i | ||||
\(11\) | 4.01759 | + | 0.422266i | 1.21135 | + | 0.127318i | 0.688582 | − | 0.725158i | \(-0.258233\pi\) |
0.522766 | + | 0.852476i | \(0.324900\pi\) | |||||||
\(12\) | −0.168255 | + | 0.517837i | −0.0485711 | + | 0.149487i | ||||
\(13\) | 1.09913 | + | 3.43393i | 0.304845 | + | 0.952402i | ||||
\(14\) | −4.68853 | + | 3.40642i | −1.25306 | + | 0.910403i | ||||
\(15\) | −2.16412 | − | 1.94858i | −0.558774 | − | 0.503122i | ||||
\(16\) | −3.12339 | + | 3.46888i | −0.780847 | + | 0.867219i | ||||
\(17\) | 0.487089 | + | 4.63434i | 0.118136 | + | 1.12399i | 0.879576 | + | 0.475758i | \(0.157826\pi\) |
−0.761440 | + | 0.648236i | \(0.775507\pi\) | |||||||
\(18\) | 1.99627 | − | 0.648629i | 0.470527 | − | 0.152883i | ||||
\(19\) | −0.0685638 | + | 0.0617351i | −0.0157296 | + | 0.0141630i | −0.676958 | − | 0.736022i | \(-0.736702\pi\) |
0.661228 | + | 0.750185i | \(0.270035\pi\) | |||||||
\(20\) | 0.390454 | + | 0.876975i | 0.0873082 | + | 0.196098i | ||||
\(21\) | −4.55007 | − | 1.47841i | −0.992908 | − | 0.322615i | ||||
\(22\) | −0.657388 | − | 6.25463i | −0.140156 | − | 1.33349i | ||||
\(23\) | −4.76474 | − | 2.12140i | −0.993516 | − | 0.442342i | −0.155411 | − | 0.987850i | \(-0.549670\pi\) |
−0.838106 | + | 0.545508i | \(0.816337\pi\) | |||||||
\(24\) | −3.13667 | − | 0.329677i | −0.640270 | − | 0.0672951i | ||||
\(25\) | −0.134268 | −0.0268536 | ||||||||
\(26\) | 4.87340 | − | 2.78525i | 0.955752 | − | 0.546232i | ||||
\(27\) | 4.52109 | + | 3.28477i | 0.870085 | + | 0.632154i | ||||
\(28\) | 1.17202 | + | 1.05529i | 0.221491 | + | 0.199431i | ||||
\(29\) | 9.74892 | − | 2.07220i | 1.81033 | − | 0.384797i | 0.826361 | − | 0.563141i | \(-0.190407\pi\) |
0.983968 | + | 0.178344i | \(0.0570739\pi\) | |||||||
\(30\) | −2.26680 | + | 3.92622i | −0.413860 | + | 0.716827i | ||||
\(31\) | −3.29769 | − | 4.48612i | −0.592282 | − | 0.805731i | ||||
\(32\) | 2.04279 | + | 1.17940i | 0.361117 | + | 0.208491i | ||||
\(33\) | 3.85828 | − | 3.47401i | 0.671640 | − | 0.604748i | ||||
\(34\) | 6.89948 | − | 2.24178i | 1.18325 | − | 0.384461i | ||||
\(35\) | −7.70571 | + | 3.43080i | −1.30250 | + | 0.579912i | ||||
\(36\) | −0.285605 | − | 0.494682i | −0.0476008 | − | 0.0824471i | ||||
\(37\) | −6.10868 | + | 3.52685i | −1.00426 | + | 0.579810i | −0.909506 | − | 0.415691i | \(-0.863540\pi\) |
−0.0947543 | + | 0.995501i | \(0.530207\pi\) | |||||||
\(38\) | 0.116202 | + | 0.0844259i | 0.0188505 | + | 0.0136957i | ||||
\(39\) | 4.22492 | + | 1.90329i | 0.676528 | + | 0.304770i | ||||
\(40\) | −4.49865 | + | 3.26846i | −0.711300 | + | 0.516789i | ||||
\(41\) | −0.271676 | − | 1.27814i | −0.0424287 | − | 0.199611i | 0.951828 | − | 0.306632i | \(-0.0992021\pi\) |
−0.994257 | + | 0.107021i | \(0.965869\pi\) | |||||||
\(42\) | −0.778543 | + | 7.40734i | −0.120132 | + | 1.14298i | ||||
\(43\) | −5.54872 | − | 6.16248i | −0.846172 | − | 0.939769i | 0.152651 | − | 0.988280i | \(-0.451219\pi\) |
−0.998823 | + | 0.0485110i | \(0.984552\pi\) | |||||||
\(44\) | −1.62770 | + | 0.528873i | −0.245385 | + | 0.0797306i | ||||
\(45\) | 3.03831 | − | 0.319339i | 0.452924 | − | 0.0476043i | ||||
\(46\) | −1.68820 | + | 7.94235i | −0.248911 | + | 1.17104i | ||||
\(47\) | 3.82893 | − | 1.24409i | 0.558506 | − | 0.181470i | −0.0161426 | − | 0.999870i | \(-0.505139\pi\) |
0.574649 | + | 0.818400i | \(0.305139\pi\) | |||||||
\(48\) | 0.627074 | + | 5.96621i | 0.0905103 | + | 0.861148i | ||||
\(49\) | −4.58860 | + | 5.09615i | −0.655514 | + | 0.728022i | ||||
\(50\) | 0.0434597 | + | 0.204462i | 0.00614613 | + | 0.0289153i | ||||
\(51\) | 4.84508 | + | 3.52015i | 0.678446 | + | 0.492920i | ||||
\(52\) | −1.01713 | − | 1.13964i | −0.141051 | − | 0.158040i | ||||
\(53\) | 6.12079 | − | 4.44702i | 0.840756 | − | 0.610845i | −0.0818259 | − | 0.996647i | \(-0.526075\pi\) |
0.922582 | + | 0.385802i | \(0.126075\pi\) | |||||||
\(54\) | 3.53863 | − | 7.94789i | 0.481546 | − | 1.08157i | ||||
\(55\) | 0.956809 | − | 9.10343i | 0.129016 | − | 1.22751i | ||||
\(56\) | −4.56771 | + | 7.91151i | −0.610387 | + | 1.05722i | ||||
\(57\) | 0.118574i | 0.0157055i | ||||||||
\(58\) | −6.31104 | − | 14.1748i | −0.828681 | − | 1.86125i | ||||
\(59\) | −2.43158 | + | 11.4397i | −0.316565 | + | 1.48932i | 0.475951 | + | 0.879472i | \(0.342104\pi\) |
−0.792516 | + | 0.609851i | \(0.791229\pi\) | |||||||
\(60\) | 1.17336 | + | 0.381249i | 0.151480 | + | 0.0492190i | ||||
\(61\) | −3.88222 | + | 6.72419i | −0.497067 | + | 0.860945i | −0.999994 | − | 0.00338371i | \(-0.998923\pi\) |
0.502928 | + | 0.864329i | \(0.332256\pi\) | |||||||
\(62\) | −5.76403 | + | 6.47375i | −0.732033 | + | 0.822167i | ||||
\(63\) | 4.34662 | − | 2.50952i | 0.547623 | − | 0.316170i | ||||
\(64\) | −1.75010 | + | 5.38626i | −0.218763 | + | 0.673283i | ||||
\(65\) | 7.78092 | − | 2.49052i | 0.965105 | − | 0.308911i | ||||
\(66\) | −6.53904 | − | 4.75089i | −0.804900 | − | 0.584794i | ||||
\(67\) | 2.61241 | − | 1.50828i | 0.319157 | − | 0.184265i | −0.331860 | − | 0.943329i | \(-0.607676\pi\) |
0.651017 | + | 0.759063i | \(0.274343\pi\) | |||||||
\(68\) | −0.987101 | − | 1.70971i | −0.119704 | − | 0.207333i | ||||
\(69\) | −6.12361 | + | 2.72641i | −0.737196 | + | 0.328221i | ||||
\(70\) | 7.71857 | + | 10.6237i | 0.922546 | + | 1.26978i | ||||
\(71\) | −5.03002 | + | 0.528676i | −0.596953 | + | 0.0627423i | −0.398186 | − | 0.917305i | \(-0.630360\pi\) |
−0.198767 | + | 0.980047i | \(0.563694\pi\) | |||||||
\(72\) | 2.45888 | − | 2.21399i | 0.289782 | − | 0.260921i | ||||
\(73\) | 4.19457 | − | 5.77333i | 0.490937 | − | 0.675717i | −0.489623 | − | 0.871934i | \(-0.662866\pi\) |
0.980560 | + | 0.196217i | \(0.0628657\pi\) | |||||||
\(74\) | 7.34790 | + | 8.16067i | 0.854176 | + | 0.948659i | ||||
\(75\) | −0.115465 | + | 0.128237i | −0.0133328 | + | 0.0148076i | ||||
\(76\) | 0.0158984 | − | 0.0357083i | 0.00182367 | − | 0.00409602i | ||||
\(77\) | −4.64704 | − | 14.3021i | −0.529580 | − | 1.62988i | ||||
\(78\) | 1.53079 | − | 7.04972i | 0.173328 | − | 0.798224i | ||||
\(79\) | 5.89921 | − | 4.28603i | 0.663713 | − | 0.482216i | −0.204202 | − | 0.978929i | \(-0.565460\pi\) |
0.867915 | + | 0.496713i | \(0.165460\pi\) | |||||||
\(80\) | 7.86010 | + | 7.07726i | 0.878786 | + | 0.791262i | ||||
\(81\) | 3.06878 | − | 0.652289i | 0.340975 | − | 0.0724765i | ||||
\(82\) | −1.85840 | + | 0.827412i | −0.205226 | + | 0.0913723i | ||||
\(83\) | 11.7123 | + | 3.80554i | 1.28559 | + | 0.417712i | 0.870545 | − | 0.492090i | \(-0.163767\pi\) |
0.415042 | + | 0.909802i | \(0.363767\pi\) | |||||||
\(84\) | 2.01579 | − | 0.211868i | 0.219940 | − | 0.0231166i | ||||
\(85\) | 10.5009 | − | 1.10369i | 1.13899 | − | 0.119712i | ||||
\(86\) | −7.58816 | + | 10.4442i | −0.818252 | + | 1.12623i | ||||
\(87\) | 6.40459 | − | 11.0931i | 0.686644 | − | 1.18930i | ||||
\(88\) | −4.95686 | − | 8.58554i | −0.528403 | − | 0.915222i | ||||
\(89\) | 14.1486 | + | 1.48707i | 1.49974 | + | 0.157629i | 0.818534 | − | 0.574458i | \(-0.194787\pi\) |
0.681210 | + | 0.732088i | \(0.261454\pi\) | |||||||
\(90\) | −1.46972 | − | 4.52334i | −0.154922 | − | 0.476802i | ||||
\(91\) | 10.0137 | − | 8.93722i | 1.04972 | − | 0.936875i | ||||
\(92\) | 2.20966 | 0.230373 | ||||||||
\(93\) | −7.12052 | − | 0.708326i | −0.738363 | − | 0.0734499i | ||||
\(94\) | −3.13384 | − | 5.42797i | −0.323231 | − | 0.559852i | ||||
\(95\) | 0.139885 | + | 0.155358i | 0.0143519 | + | 0.0159394i | ||||
\(96\) | 2.88315 | − | 0.936793i | 0.294261 | − | 0.0956110i | ||||
\(97\) | −2.94429 | − | 6.61299i | −0.298948 | − | 0.671447i | 0.700147 | − | 0.713999i | \(-0.253118\pi\) |
−0.999094 | + | 0.0425518i | \(0.986451\pi\) | |||||||
\(98\) | 9.24561 | + | 5.33795i | 0.933947 | + | 0.539215i | ||||
\(99\) | 5.44665i | 0.547409i | ||||||||
\(100\) | 0.0519661 | − | 0.0231368i | 0.00519661 | − | 0.00231368i | ||||
\(101\) | −5.86767 | − | 2.61246i | −0.583855 | − | 0.259949i | 0.0934830 | − | 0.995621i | \(-0.470200\pi\) |
−0.677338 | + | 0.735672i | \(0.736867\pi\) | |||||||
\(102\) | 3.79221 | − | 8.51744i | 0.375484 | − | 0.843352i | ||||
\(103\) | 1.72416 | − | 5.30642i | 0.169886 | − | 0.522857i | −0.829477 | − | 0.558541i | \(-0.811361\pi\) |
0.999363 | + | 0.0356847i | \(0.0113612\pi\) | |||||||
\(104\) | 5.23220 | − | 7.13552i | 0.513059 | − | 0.699695i | ||||
\(105\) | −3.34992 | + | 10.3100i | −0.326918 | + | 1.00615i | ||||
\(106\) | −8.75305 | − | 7.88128i | −0.850171 | − | 0.765498i | ||||
\(107\) | −7.78401 | − | 3.46567i | −0.752509 | − | 0.335039i | −0.00561724 | − | 0.999984i | \(-0.501788\pi\) |
−0.746892 | + | 0.664946i | \(0.768455\pi\) | |||||||
\(108\) | −2.31584 | − | 0.492246i | −0.222841 | − | 0.0473664i | ||||
\(109\) | −12.2581 | + | 3.98290i | −1.17411 | + | 0.381493i | −0.830177 | − | 0.557500i | \(-0.811761\pi\) |
−0.343937 | + | 0.938993i | \(0.611761\pi\) | |||||||
\(110\) | −14.1723 | + | 1.48957i | −1.35128 | + | 0.142025i | ||||
\(111\) | −1.88480 | + | 8.86727i | −0.178897 | + | 0.841644i | ||||
\(112\) | 16.5259 | + | 5.36959i | 1.56155 | + | 0.507378i | ||||
\(113\) | −8.00578 | + | 3.56440i | −0.753120 | + | 0.335311i | −0.747136 | − | 0.664671i | \(-0.768572\pi\) |
−0.00598446 | + | 0.999982i | \(0.501905\pi\) | |||||||
\(114\) | 0.180564 | − | 0.0383800i | 0.0169113 | − | 0.00359462i | ||||
\(115\) | −4.80686 | + | 10.7964i | −0.448242 | + | 1.00677i | ||||
\(116\) | −3.41607 | + | 2.48192i | −0.317175 | + | 0.230441i | ||||
\(117\) | −4.44962 | + | 1.95777i | −0.411367 | + | 0.180996i | ||||
\(118\) | 18.2073 | 1.67612 | ||||||||
\(119\) | 15.0227 | − | 8.67336i | 1.37713 | − | 0.795085i | ||||
\(120\) | −0.747014 | + | 7.10736i | −0.0681927 | + | 0.648810i | ||||
\(121\) | 5.20309 | + | 1.10595i | 0.473009 | + | 0.100541i | ||||
\(122\) | 11.4961 | + | 3.73532i | 1.04081 | + | 0.338180i | ||||
\(123\) | −1.45436 | − | 0.839676i | −0.131135 | − | 0.0757110i | ||||
\(124\) | 2.04935 | + | 1.16802i | 0.184037 | + | 0.104892i | ||||
\(125\) | − | 11.0252i | − | 0.986126i | ||||||
\(126\) | −5.22839 | − | 5.80672i | −0.465782 | − | 0.517304i | ||||
\(127\) | 3.61130 | − | 4.01076i | 0.320451 | − | 0.355897i | −0.561300 | − | 0.827613i | \(-0.689698\pi\) |
0.881751 | + | 0.471716i | \(0.156365\pi\) | |||||||
\(128\) | 13.4604 | + | 1.41474i | 1.18974 | + | 0.125047i | ||||
\(129\) | −10.6574 | −0.938331 | ||||||||
\(130\) | −6.31107 | − | 11.0426i | −0.553517 | − | 0.968499i | ||||
\(131\) | 14.8864 | + | 10.8156i | 1.30063 | + | 0.944961i | 0.999962 | − | 0.00876895i | \(-0.00279128\pi\) |
0.300665 | + | 0.953730i | \(0.402791\pi\) | |||||||
\(132\) | −0.894646 | + | 2.00941i | −0.0778689 | + | 0.174896i | ||||
\(133\) | 0.313758 | + | 0.139694i | 0.0272063 | + | 0.0121130i | ||||
\(134\) | −3.14238 | − | 3.48996i | −0.271460 | − | 0.301487i | ||||
\(135\) | 7.44293 | − | 10.2443i | 0.640585 | − | 0.881690i | ||||
\(136\) | 8.49832 | − | 7.65192i | 0.728725 | − | 0.656147i | ||||
\(137\) | −4.12909 | + | 19.4259i | −0.352772 | + | 1.65966i | 0.341448 | + | 0.939901i | \(0.389083\pi\) |
−0.694220 | + | 0.719763i | \(0.744251\pi\) | |||||||
\(138\) | 6.13384 | + | 8.44250i | 0.522147 | + | 0.718673i | ||||
\(139\) | −2.28250 | − | 0.485161i | −0.193599 | − | 0.0411508i | 0.110091 | − | 0.993921i | \(-0.464886\pi\) |
−0.303691 | + | 0.952771i | \(0.598219\pi\) | |||||||
\(140\) | 2.39117 | − | 2.65567i | 0.202091 | − | 0.224445i | ||||
\(141\) | 2.10452 | − | 4.72683i | 0.177233 | − | 0.398071i | ||||
\(142\) | 2.43318 | + | 7.48854i | 0.204188 | + | 0.628425i | ||||
\(143\) | 2.96584 | + | 14.2603i | 0.248016 | + | 1.19250i | ||||
\(144\) | −5.09156 | − | 3.69924i | −0.424297 | − | 0.308270i | ||||
\(145\) | −4.69537 | − | 22.0900i | −0.389930 | − | 1.83447i | ||||
\(146\) | −10.1493 | − | 4.51874i | −0.839959 | − | 0.373974i | ||||
\(147\) | 0.921240 | + | 8.76501i | 0.0759826 | + | 0.722926i | ||||
\(148\) | 1.75652 | − | 2.41764i | 0.144385 | − | 0.198729i | ||||
\(149\) | 15.0179 | + | 8.67059i | 1.23031 | + | 0.710322i | 0.967095 | − | 0.254414i | \(-0.0818825\pi\) |
0.263219 | + | 0.964736i | \(0.415216\pi\) | |||||||
\(150\) | 0.232652 | + | 0.134322i | 0.0189960 | + | 0.0109673i | ||||
\(151\) | −10.9319 | + | 15.0465i | −0.889625 | + | 1.22446i | 0.0840364 | + | 0.996463i | \(0.473219\pi\) |
−0.973661 | + | 0.228001i | \(0.926781\pi\) | |||||||
\(152\) | 0.221468 | + | 0.0470745i | 0.0179634 | + | 0.00381825i | ||||
\(153\) | −6.14549 | + | 1.30626i | −0.496833 | + | 0.105605i | ||||
\(154\) | −20.2750 | + | 11.7058i | −1.63381 | + | 0.943279i | ||||
\(155\) | −10.1651 | + | 7.47220i | −0.816478 | + | 0.600181i | ||||
\(156\) | −1.96315 | − | 0.00860530i | −0.157178 | − | 0.000688975i | ||||
\(157\) | −3.15322 | + | 9.70461i | −0.251654 | + | 0.774512i | 0.742816 | + | 0.669495i | \(0.233490\pi\) |
−0.994470 | + | 0.105017i | \(0.966510\pi\) | |||||||
\(158\) | −8.43618 | − | 7.59597i | −0.671146 | − | 0.604303i | ||||
\(159\) | 1.01637 | − | 9.67016i | 0.0806037 | − | 0.766893i | ||||
\(160\) | 2.67240 | − | 4.62873i | 0.211272 | − | 0.365934i | ||||
\(161\) | 19.4156i | 1.53017i | ||||||||
\(162\) | −1.98660 | − | 4.46197i | −0.156082 | − | 0.350566i | ||||
\(163\) | −3.65123 | + | 0.383760i | −0.285986 | + | 0.0300584i | −0.246436 | − | 0.969159i | \(-0.579259\pi\) |
−0.0395509 | + | 0.999218i | \(0.512593\pi\) | |||||||
\(164\) | 0.325393 | + | 0.447866i | 0.0254090 | + | 0.0349724i | ||||
\(165\) | −7.87173 | − | 8.74245i | −0.612814 | − | 0.680598i | ||||
\(166\) | 2.00403 | − | 19.0671i | 0.155543 | − | 1.47989i | ||||
\(167\) | −4.52715 | − | 21.2986i | −0.350321 | − | 1.64813i | −0.702122 | − | 0.712057i | \(-0.747764\pi\) |
0.351801 | − | 0.936075i | \(-0.385570\pi\) | |||||||
\(168\) | 3.62811 | + | 11.1662i | 0.279915 | + | 0.861489i | ||||
\(169\) | −10.5838 | + | 7.54871i | −0.814139 | + | 0.580670i | ||||
\(170\) | −5.07962 | − | 15.6335i | −0.389589 | − | 1.19903i | ||||
\(171\) | −0.0924427 | − | 0.0832358i | −0.00706927 | − | 0.00636520i | ||||
\(172\) | 3.20944 | + | 1.42894i | 0.244718 | + | 0.108955i | ||||
\(173\) | 12.8493 | + | 2.73121i | 0.976916 | + | 0.207650i | 0.668590 | − | 0.743631i | \(-0.266898\pi\) |
0.308325 | + | 0.951281i | \(0.400231\pi\) | |||||||
\(174\) | −18.9655 | − | 6.16225i | −1.43777 | − | 0.467159i | ||||
\(175\) | 0.203296 | + | 0.456610i | 0.0153677 | + | 0.0345165i | ||||
\(176\) | −14.0133 | + | 12.6176i | −1.05629 | + | 0.951089i | ||||
\(177\) | 8.83483 | + | 12.1601i | 0.664066 | + | 0.914009i | ||||
\(178\) | −2.31509 | − | 22.0266i | −0.173523 | − | 1.65097i | ||||
\(179\) | −1.09681 | + | 10.4354i | −0.0819794 | + | 0.779982i | 0.873877 | + | 0.486147i | \(0.161598\pi\) |
−0.955856 | + | 0.293834i | \(0.905069\pi\) | |||||||
\(180\) | −1.12090 | + | 0.647150i | −0.0835467 | + | 0.0482357i | ||||
\(181\) | 2.75147 | 0.204516 | 0.102258 | − | 0.994758i | \(-0.467393\pi\) | ||||
0.102258 | + | 0.994758i | \(0.467393\pi\) | |||||||
\(182\) | −16.8507 | − | 12.3560i | −1.24906 | − | 0.915887i | ||||
\(183\) | 3.08362 | + | 9.49041i | 0.227948 | + | 0.701551i | ||||
\(184\) | 2.66117 | + | 12.5198i | 0.196184 | + | 0.922975i | ||||
\(185\) | 7.99145 | + | 13.8416i | 0.587543 | + | 1.01766i | ||||
\(186\) | 1.22613 | + | 11.0723i | 0.0899043 | + | 0.811863i | ||||
\(187\) | 18.8246i | 1.37659i | ||||||||
\(188\) | −1.26754 | + | 1.14130i | −0.0924449 | + | 0.0832378i | ||||
\(189\) | 4.32522 | − | 20.3486i | 0.314613 | − | 1.48014i | ||||
\(190\) | 0.191300 | − | 0.263302i | 0.0138784 | − | 0.0191019i | ||||
\(191\) | 4.08570 | − | 7.07664i | 0.295631 | − | 0.512048i | −0.679501 | − | 0.733675i | \(-0.737803\pi\) |
0.975131 | + | 0.221627i | \(0.0711368\pi\) | |||||||
\(192\) | 3.63932 | + | 6.30348i | 0.262645 | + | 0.454915i | ||||
\(193\) | 15.9204 | + | 1.67331i | 1.14598 | + | 0.120447i | 0.658425 | − | 0.752646i | \(-0.271223\pi\) |
0.487553 | + | 0.873093i | \(0.337889\pi\) | |||||||
\(194\) | −9.11719 | + | 6.62403i | −0.654576 | + | 0.475577i | ||||
\(195\) | 4.31265 | − | 9.57321i | 0.308835 | − | 0.685552i | ||||
\(196\) | 0.897778 | − | 2.76308i | 0.0641270 | − | 0.197363i | ||||
\(197\) | −17.3402 | − | 1.82253i | −1.23544 | − | 0.129850i | −0.535798 | − | 0.844346i | \(-0.679989\pi\) |
−0.699639 | + | 0.714497i | \(0.746656\pi\) | |||||||
\(198\) | 8.29411 | − | 1.76297i | 0.589437 | − | 0.125289i | ||||
\(199\) | 4.91308 | + | 1.04431i | 0.348279 | + | 0.0740289i | 0.378730 | − | 0.925507i | \(-0.376361\pi\) |
−0.0304509 | + | 0.999536i | \(0.509694\pi\) | |||||||
\(200\) | 0.193676 | + | 0.266573i | 0.0136950 | + | 0.0188495i | ||||
\(201\) | 0.806045 | − | 3.79214i | 0.0568540 | − | 0.267477i | ||||
\(202\) | −2.07898 | + | 9.78084i | −0.146277 | + | 0.688177i | ||||
\(203\) | −21.8079 | − | 30.0160i | −1.53062 | − | 2.10671i | ||||
\(204\) | −2.48179 | − | 0.527521i | −0.173760 | − | 0.0369338i | ||||
\(205\) | −2.89612 | + | 0.615589i | −0.202274 | + | 0.0429946i | ||||
\(206\) | −8.63864 | − | 0.907957i | −0.601882 | − | 0.0632604i | ||||
\(207\) | 2.17305 | − | 6.68795i | 0.151037 | − | 0.464845i | ||||
\(208\) | −15.3449 | − | 6.91275i | −1.06398 | − | 0.479313i | ||||
\(209\) | −0.301530 | + | 0.219074i | −0.0208572 | + | 0.0151537i | ||||
\(210\) | 16.7842 | + | 1.76409i | 1.15822 | + | 0.121734i | ||||
\(211\) | 2.59054 | + | 4.48695i | 0.178340 | + | 0.308894i | 0.941312 | − | 0.337537i | \(-0.109594\pi\) |
−0.762972 | + | 0.646432i | \(0.776261\pi\) | |||||||
\(212\) | −1.60265 | + | 2.77587i | −0.110070 | + | 0.190647i | ||||
\(213\) | −3.82070 | + | 5.25874i | −0.261790 | + | 0.360323i | ||||
\(214\) | −2.75796 | + | 12.9752i | −0.188530 | + | 0.886966i | ||||
\(215\) | −13.9635 | + | 12.5728i | −0.952304 | + | 0.857458i | ||||
\(216\) | − | 13.7142i | − | 0.933136i | ||||||
\(217\) | −10.2631 | + | 18.0070i | −0.696703 | + | 1.22240i | ||||
\(218\) | 10.0328 | + | 17.3774i | 0.679508 | + | 1.17694i | ||||
\(219\) | −1.90685 | − | 8.97102i | −0.128853 | − | 0.606206i | ||||
\(220\) | 1.19837 | + | 3.68820i | 0.0807940 | + | 0.248658i | ||||
\(221\) | −15.3787 | + | 6.76640i | −1.03448 | + | 0.455157i | ||||
\(222\) | 14.1131 | 0.947207 | ||||||||
\(223\) | −13.9773 | + | 8.06979i | −0.935988 | + | 0.540393i | −0.888701 | − | 0.458488i | \(-0.848391\pi\) |
−0.0472879 | + | 0.998881i | \(0.515058\pi\) | |||||||
\(224\) | 0.917847 | − | 8.73273i | 0.0613262 | − | 0.583480i | ||||
\(225\) | −0.0189228 | − | 0.180038i | −0.00126152 | − | 0.0120025i | ||||
\(226\) | 8.01914 | + | 11.0374i | 0.533426 | + | 0.734197i | ||||
\(227\) | 2.55131 | − | 2.29721i | 0.169336 | − | 0.152471i | −0.580105 | − | 0.814541i | \(-0.696989\pi\) |
0.749442 | + | 0.662070i | \(0.230322\pi\) | |||||||
\(228\) | −0.0204325 | − | 0.0458921i | −0.00135317 | − | 0.00303928i | ||||
\(229\) | −4.60342 | − | 1.49574i | −0.304203 | − | 0.0988414i | 0.152938 | − | 0.988236i | \(-0.451126\pi\) |
−0.457141 | + | 0.889394i | \(0.651126\pi\) | |||||||
\(230\) | 17.9965 | + | 3.82528i | 1.18665 | + | 0.252231i | ||||
\(231\) | −17.6561 | − | 7.86098i | −1.16168 | − | 0.517215i | ||||
\(232\) | −18.1765 | − | 16.3662i | −1.19335 | − | 1.07450i | ||||
\(233\) | 1.24260 | + | 3.82434i | 0.0814056 | + | 0.250541i | 0.983473 | − | 0.181054i | \(-0.0579510\pi\) |
−0.902068 | + | 0.431595i | \(0.857951\pi\) | |||||||
\(234\) | 4.42153 | + | 6.14215i | 0.289044 | + | 0.401525i | ||||
\(235\) | −2.81898 | − | 8.67594i | −0.183890 | − | 0.565956i | ||||
\(236\) | −1.03017 | − | 4.84655i | −0.0670581 | − | 0.315483i | ||||
\(237\) | 0.979580 | − | 9.32008i | 0.0636306 | − | 0.605404i | ||||
\(238\) | −18.0702 | − | 20.0690i | −1.17132 | − | 1.30088i | ||||
\(239\) | 1.72727 | + | 2.37738i | 0.111728 | + | 0.153780i | 0.861219 | − | 0.508235i | \(-0.169702\pi\) |
−0.749491 | + | 0.662015i | \(0.769702\pi\) | |||||||
\(240\) | 13.5188 | − | 1.42088i | 0.872634 | − | 0.0917176i | ||||
\(241\) | −0.311306 | − | 0.699204i | −0.0200530 | − | 0.0450397i | 0.903241 | − | 0.429133i | \(-0.141181\pi\) |
−0.923294 | + | 0.384093i | \(0.874514\pi\) | |||||||
\(242\) | − | 8.28120i | − | 0.532336i | ||||||
\(243\) | −6.36653 | + | 11.0271i | −0.408413 | + | 0.707392i | ||||
\(244\) | 0.343844 | − | 3.27146i | 0.0220124 | − | 0.209434i | ||||
\(245\) | 11.5473 | + | 10.3973i | 0.737732 | + | 0.664257i | ||||
\(246\) | −0.807904 | + | 2.48647i | −0.0515101 | + | 0.158532i | ||||
\(247\) | −0.287355 | − | 0.167588i | −0.0182840 | − | 0.0106634i | ||||
\(248\) | −4.14986 | + | 13.0182i | −0.263516 | + | 0.826657i | ||||
\(249\) | 13.7067 | − | 7.91358i | 0.868628 | − | 0.501503i | ||||
\(250\) | −16.7891 | + | 3.56864i | −1.06184 | + | 0.225700i | ||||
\(251\) | −2.17355 | − | 0.462002i | −0.137193 | − | 0.0291613i | 0.138803 | − | 0.990320i | \(-0.455674\pi\) |
−0.275996 | + | 0.961159i | \(0.589008\pi\) | |||||||
\(252\) | −1.24985 | + | 1.72027i | −0.0787331 | + | 0.108367i | ||||
\(253\) | −18.2470 | − | 10.5349i | −1.14718 | − | 0.662323i | ||||
\(254\) | −7.27645 | − | 4.20106i | −0.456565 | − | 0.263598i | ||||
\(255\) | 7.97629 | − | 10.9784i | 0.499495 | − | 0.687495i | ||||
\(256\) | −1.01851 | − | 9.69043i | −0.0636566 | − | 0.605652i | ||||
\(257\) | −17.4290 | − | 7.75988i | −1.08719 | − | 0.484048i | −0.216702 | − | 0.976238i | \(-0.569530\pi\) |
−0.870488 | + | 0.492190i | \(0.836197\pi\) | |||||||
\(258\) | 3.44958 | + | 16.2290i | 0.214761 | + | 1.01037i | ||||
\(259\) | 21.2431 | + | 15.4340i | 1.31998 | + | 0.959022i | ||||
\(260\) | −2.58231 | + | 2.30471i | −0.160148 | + | 0.142932i | ||||
\(261\) | 4.15253 | + | 12.7802i | 0.257035 | + | 0.791073i | ||||
\(262\) | 11.6514 | − | 26.1696i | 0.719829 | − | 1.61676i | ||||
\(263\) | 7.14661 | − | 7.93711i | 0.440679 | − | 0.489423i | −0.481359 | − | 0.876524i | \(-0.659857\pi\) |
0.922038 | + | 0.387100i | \(0.126523\pi\) | |||||||
\(264\) | −12.4626 | − | 2.64902i | −0.767023 | − | 0.163036i | ||||
\(265\) | −10.0765 | − | 13.8691i | −0.618992 | − | 0.851970i | ||||
\(266\) | 0.111168 | − | 0.523004i | 0.00681614 | − | 0.0320674i | ||||
\(267\) | 13.5875 | − | 12.2343i | 0.831543 | − | 0.748724i | ||||
\(268\) | −0.751186 | + | 1.03392i | −0.0458860 | + | 0.0631567i | ||||
\(269\) | 7.97242 | + | 8.85427i | 0.486087 | + | 0.539854i | 0.935433 | − | 0.353503i | \(-0.115010\pi\) |
−0.449346 | + | 0.893358i | \(0.648343\pi\) | |||||||
\(270\) | −18.0091 | − | 8.01815i | −1.09600 | − | 0.487969i | ||||
\(271\) | −5.91963 | + | 13.2957i | −0.359592 | + | 0.807656i | 0.639648 | + | 0.768668i | \(0.279080\pi\) |
−0.999240 | + | 0.0389883i | \(0.987586\pi\) | |||||||
\(272\) | −17.5973 | − | 12.7852i | −1.06699 | − | 0.775217i | ||||
\(273\) | 0.0756121 | − | 17.2496i | 0.00457625 | − | 1.04399i | ||||
\(274\) | 30.9180 | 1.86783 | ||||||||
\(275\) | −0.539433 | − | 0.0566967i | −0.0325290 | − | 0.00341894i | ||||
\(276\) | 1.90023 | − | 2.11042i | 0.114380 | − | 0.127032i | ||||
\(277\) | 15.5798 | + | 17.3031i | 0.936099 | + | 1.03964i | 0.999133 | + | 0.0416317i | \(0.0132556\pi\) |
−0.0630342 | + | 0.998011i | \(0.520078\pi\) | |||||||
\(278\) | 3.63281i | 0.217882i | ||||||||
\(279\) | 5.55063 | − | 5.05407i | 0.332308 | − | 0.302579i | ||||
\(280\) | 17.9266 | + | 10.3499i | 1.07132 | + | 0.618528i | ||||
\(281\) | −13.5311 | − | 4.39654i | −0.807200 | − | 0.262275i | −0.123789 | − | 0.992309i | \(-0.539505\pi\) |
−0.683412 | + | 0.730033i | \(0.739505\pi\) | |||||||
\(282\) | −7.87916 | − | 1.67477i | −0.469197 | − | 0.0997310i | ||||
\(283\) | 2.65604 | − | 25.2705i | 0.157885 | − | 1.50218i | −0.572932 | − | 0.819603i | \(-0.694194\pi\) |
0.730817 | − | 0.682574i | \(-0.239139\pi\) | |||||||
\(284\) | 1.85568 | − | 1.07138i | 0.110114 | − | 0.0635746i | ||||
\(285\) | 0.268676 | 0.0159150 | ||||||||
\(286\) | 20.7554 | − | 9.13211i | 1.22729 | − | 0.539993i | ||||
\(287\) | −3.93526 | + | 2.85913i | −0.232291 | + | 0.168769i | ||||
\(288\) | −1.29355 | + | 2.90536i | −0.0762233 | + | 0.171200i | ||||
\(289\) | −4.61138 | + | 0.980178i | −0.271257 | + | 0.0576575i | ||||
\(290\) | −32.1187 | + | 14.3001i | −1.88607 | + | 0.839734i | ||||
\(291\) | −8.84795 | − | 2.87487i | −0.518676 | − | 0.168528i | ||||
\(292\) | −0.628587 | + | 2.95727i | −0.0367852 | + | 0.173061i | ||||
\(293\) | 5.68011 | − | 0.597003i | 0.331835 | − | 0.0348773i | 0.0628541 | − | 0.998023i | \(-0.479980\pi\) |
0.268981 | + | 0.963145i | \(0.413313\pi\) | |||||||
\(294\) | 13.0491 | − | 4.23991i | 0.761038 | − | 0.247276i | ||||
\(295\) | 25.9211 | + | 5.50971i | 1.50919 | + | 0.320788i | ||||
\(296\) | 15.8137 | + | 7.04070i | 0.919150 | + | 0.409232i | ||||
\(297\) | 16.7769 | + | 15.1059i | 0.973492 | + | 0.876536i | ||||
\(298\) | 8.34251 | − | 25.6756i | 0.483269 | − | 1.48735i | ||||
\(299\) | 2.04765 | − | 18.6935i | 0.118419 | − | 1.08107i | ||||
\(300\) | 0.0225913 | − | 0.0695288i | 0.00130431 | − | 0.00401425i | ||||
\(301\) | −12.5556 | + | 28.2004i | −0.723695 | + | 1.62544i | ||||
\(302\) | 26.4510 | + | 11.7768i | 1.52209 | + | 0.677676i | ||||
\(303\) | −7.54110 | + | 3.35752i | −0.433225 | + | 0.192884i | ||||
\(304\) | − | 0.430662i | − | 0.0247002i | ||||||
\(305\) | 15.2363 | + | 8.79668i | 0.872428 | + | 0.503697i | ||||
\(306\) | 3.97833 | + | 8.93548i | 0.227426 | + | 0.510808i | ||||
\(307\) | 19.5056 | − | 6.33776i | 1.11324 | − | 0.361715i | 0.306059 | − | 0.952013i | \(-0.400990\pi\) |
0.807186 | + | 0.590298i | \(0.200990\pi\) | |||||||
\(308\) | 4.26308 | + | 4.73462i | 0.242911 | + | 0.269780i | ||||
\(309\) | −3.58537 | − | 6.21004i | −0.203965 | − | 0.353277i | ||||
\(310\) | 14.6688 | + | 13.0607i | 0.833133 | + | 0.741796i | ||||
\(311\) | −27.5697 | −1.56334 | −0.781668 | − | 0.623694i | \(-0.785631\pi\) | ||||
−0.781668 | + | 0.623694i | \(0.785631\pi\) | |||||||
\(312\) | −2.31553 | − | 11.1335i | −0.131091 | − | 0.630309i | ||||
\(313\) | −1.85887 | − | 5.72102i | −0.105070 | − | 0.323371i | 0.884677 | − | 0.466204i | \(-0.154379\pi\) |
−0.989747 | + | 0.142833i | \(0.954379\pi\) | |||||||
\(314\) | 15.7987 | + | 1.66051i | 0.891574 | + | 0.0937082i | ||||
\(315\) | −5.68631 | − | 9.84898i | −0.320387 | − | 0.554927i | ||||
\(316\) | −1.54463 | + | 2.67538i | −0.0868921 | + | 0.150502i | ||||
\(317\) | −14.1447 | + | 19.4684i | −0.794443 | + | 1.09346i | 0.199098 | + | 0.979980i | \(0.436199\pi\) |
−0.993541 | + | 0.113477i | \(0.963801\pi\) | |||||||
\(318\) | −15.0546 | + | 1.58230i | −0.844220 | + | 0.0887311i | ||||
\(319\) | 40.0422 | − | 4.20860i | 2.24193 | − | 0.235636i | ||||
\(320\) | 12.2047 | + | 3.96554i | 0.682263 | + | 0.221681i | ||||
\(321\) | −10.0040 | + | 4.45406i | −0.558367 | + | 0.248601i | ||||
\(322\) | 29.5660 | − | 6.28444i | 1.64765 | − | 0.350218i | ||||
\(323\) | −0.319498 | − | 0.287678i | −0.0177774 | − | 0.0160068i | ||||
\(324\) | −1.07532 | + | 0.781263i | −0.0597398 | + | 0.0434035i | ||||
\(325\) | −0.147579 | − | 0.461067i | −0.00818618 | − | 0.0255754i | ||||
\(326\) | 1.76621 | + | 5.43585i | 0.0978215 | + | 0.301064i | ||||
\(327\) | −6.73751 | + | 15.1327i | −0.372585 | + | 0.836840i | ||||
\(328\) | −2.14570 | + | 2.38304i | −0.118476 | + | 0.131581i | ||||
\(329\) | −10.0282 | − | 11.1375i | −0.552875 | − | 0.614030i | ||||
\(330\) | −10.7650 | + | 14.8168i | −0.592594 | + | 0.815635i | ||||
\(331\) | −7.06927 | + | 6.36520i | −0.388562 | + | 0.349863i | −0.840141 | − | 0.542368i | \(-0.817528\pi\) |
0.451579 | + | 0.892231i | \(0.350861\pi\) | |||||||
\(332\) | −5.18879 | + | 0.545364i | −0.284772 | + | 0.0299307i | ||||
\(333\) | −5.59002 | − | 7.69400i | −0.306331 | − | 0.421629i | ||||
\(334\) | −30.9679 | + | 13.7878i | −1.69449 | + | 0.754435i | ||||
\(335\) | −3.41759 | − | 5.91945i | −0.186723 | − | 0.323414i | ||||
\(336\) | 19.3401 | − | 11.1660i | 1.05509 | − | 0.609155i | ||||
\(337\) | −16.2198 | − | 11.7843i | −0.883547 | − | 0.641934i | 0.0506408 | − | 0.998717i | \(-0.483874\pi\) |
−0.934187 | + | 0.356783i | \(0.883874\pi\) | |||||||
\(338\) | 14.9209 | + | 13.6736i | 0.811588 | + | 0.743744i | ||||
\(339\) | −3.48037 | + | 10.7115i | −0.189027 | + | 0.581767i | ||||
\(340\) | −3.87402 | + | 2.23666i | −0.210098 | + | 0.121300i | ||||
\(341\) | −11.3544 | − | 19.4159i | −0.614876 | − | 1.05143i | ||||
\(342\) | −0.0968289 | + | 0.167713i | −0.00523591 | + | 0.00906886i | ||||
\(343\) | −0.504326 | − | 0.163865i | −0.0272310 | − | 0.00884789i | ||||
\(344\) | −4.23104 | + | 19.9055i | −0.228122 | + | 1.07323i | ||||
\(345\) | 6.17775 | + | 13.8754i | 0.332599 | + | 0.747029i | ||||
\(346\) | − | 20.4509i | − | 1.09944i | ||||||
\(347\) | 10.3251 | − | 17.8836i | 0.554279 | − | 0.960039i | −0.443680 | − | 0.896185i | \(-0.646327\pi\) |
0.997959 | − | 0.0638543i | \(-0.0203393\pi\) | |||||||
\(348\) | −0.567248 | + | 5.39701i | −0.0304077 | + | 0.289310i | ||||
\(349\) | 12.3051 | − | 27.6378i | 0.658679 | − | 1.47942i | −0.206754 | − | 0.978393i | \(-0.566290\pi\) |
0.865433 | − | 0.501024i | \(-0.167043\pi\) | |||||||
\(350\) | 0.629519 | − | 0.457372i | 0.0336492 | − | 0.0244476i | ||||
\(351\) | −6.31038 | + | 19.1355i | −0.336823 | + | 1.02138i | ||||
\(352\) | 7.70905 | + | 5.60096i | 0.410894 | + | 0.298532i | ||||
\(353\) | 5.33026 | + | 25.0769i | 0.283701 | + | 1.33471i | 0.856980 | + | 0.515349i | \(0.172338\pi\) |
−0.573279 | + | 0.819360i | \(0.694329\pi\) | |||||||
\(354\) | 15.6576 | − | 17.3896i | 0.832194 | − | 0.924245i | ||||
\(355\) | 1.19792 | + | 11.3975i | 0.0635792 | + | 0.604915i | ||||
\(356\) | −5.73220 | + | 1.86251i | −0.303806 | + | 0.0987126i | ||||
\(357\) | 4.63516 | − | 21.8067i | 0.245319 | − | 1.15413i | ||||
\(358\) | 16.2460 | − | 1.70752i | 0.858628 | − | 0.0902455i | ||||
\(359\) | 14.6431 | − | 4.75784i | 0.772834 | − | 0.251109i | 0.104056 | − | 0.994571i | \(-0.466818\pi\) |
0.668778 | + | 0.743462i | \(0.266818\pi\) | |||||||
\(360\) | −5.01665 | − | 5.57156i | −0.264401 | − | 0.293647i | ||||
\(361\) | −1.98515 | + | 18.8875i | −0.104482 | + | 0.994076i | ||||
\(362\) | −0.890595 | − | 4.18992i | −0.0468086 | − | 0.220217i | ||||
\(363\) | 5.53075 | − | 4.01832i | 0.290289 | − | 0.210907i | ||||
\(364\) | −2.33559 | + | 5.18454i | −0.122418 | + | 0.271744i | ||||
\(365\) | −13.0817 | − | 9.50444i | −0.684730 | − | 0.497485i | ||||
\(366\) | 13.4538 | − | 7.76756i | 0.703242 | − | 0.406017i | ||||
\(367\) | 7.99804 | + | 13.8530i | 0.417495 | + | 0.723122i | 0.995687 | − | 0.0927788i | \(-0.0295750\pi\) |
−0.578192 | + | 0.815901i | \(0.696242\pi\) | |||||||
\(368\) | 22.2410 | − | 9.90233i | 1.15939 | − | 0.516194i | ||||
\(369\) | 1.67555 | − | 0.544419i | 0.0872256 | − | 0.0283413i | ||||
\(370\) | 18.4912 | − | 16.6496i | 0.961312 | − | 0.865569i | ||||
\(371\) | −24.3907 | − | 14.0820i | −1.26630 | − | 0.731099i | ||||
\(372\) | 2.87793 | − | 0.952849i | 0.149214 | − | 0.0494029i | ||||
\(373\) | −11.3021 | + | 19.5759i | −0.585202 | + | 1.01360i | 0.409648 | + | 0.912244i | \(0.365651\pi\) |
−0.994850 | + | 0.101356i | \(0.967682\pi\) | |||||||
\(374\) | 28.6659 | − | 6.09312i | 1.48228 | − | 0.315068i | ||||
\(375\) | −10.5300 | − | 9.48129i | −0.543769 | − | 0.489612i | ||||
\(376\) | −7.99308 | − | 5.80731i | −0.412212 | − | 0.299489i | ||||
\(377\) | 17.8312 | + | 31.1995i | 0.918352 | + | 1.60686i | ||||
\(378\) | −32.3866 | −1.66579 | ||||||||
\(379\) | −20.2115 | − | 2.12431i | −1.03819 | − | 0.109119i | −0.429937 | − | 0.902859i | \(-0.641464\pi\) |
−0.608257 | + | 0.793740i | \(0.708131\pi\) | |||||||
\(380\) | −0.0809111 | − | 0.0360240i | −0.00415065 | − | 0.00184799i | ||||
\(381\) | −0.725031 | − | 6.89821i | −0.0371444 | − | 0.353406i | ||||
\(382\) | −12.0987 | − | 3.93111i | −0.619023 | − | 0.201133i | ||||
\(383\) | 9.27370 | + | 20.8291i | 0.473864 | + | 1.06432i | 0.979477 | + | 0.201556i | \(0.0645997\pi\) |
−0.505613 | + | 0.862760i | \(0.668734\pi\) | |||||||
\(384\) | 12.9266 | − | 11.6392i | 0.659660 | − | 0.593960i | ||||
\(385\) | −32.4071 | + | 10.5297i | −1.65162 | + | 0.536643i | ||||
\(386\) | −2.60502 | − | 24.7851i | −0.132592 | − | 1.26153i | ||||
\(387\) | 7.48120 | − | 8.30871i | 0.380291 | − | 0.422356i | ||||
\(388\) | 2.27908 | + | 2.05209i | 0.115703 | + | 0.104179i | ||||
\(389\) | −3.00856 | + | 2.18585i | −0.152540 | + | 0.110827i | −0.661437 | − | 0.750000i | \(-0.730053\pi\) |
0.508897 | + | 0.860827i | \(0.330053\pi\) | |||||||
\(390\) | −15.9739 | − | 3.46861i | −0.808870 | − | 0.175640i | ||||
\(391\) | 7.51043 | − | 23.1147i | 0.379819 | − | 1.16896i | ||||
\(392\) | 16.7367 | + | 1.75909i | 0.845330 | + | 0.0888477i | ||||
\(393\) | 23.1315 | − | 4.91676i | 1.16683 | − | 0.248018i | ||||
\(394\) | 2.83733 | + | 26.9954i | 0.142943 | + | 1.36001i | ||||
\(395\) | −9.71168 | − | 13.3670i | −0.488648 | − | 0.672566i | ||||
\(396\) | −0.938556 | − | 2.10803i | −0.0471642 | − | 0.105933i | ||||
\(397\) | −1.71038 | − | 0.987489i | −0.0858416 | − | 0.0495607i | 0.456465 | − | 0.889741i | \(-0.349115\pi\) |
−0.542306 | + | 0.840181i | \(0.682449\pi\) | |||||||
\(398\) | − | 7.81961i | − | 0.391962i | ||||||
\(399\) | 0.403240 | − | 0.179534i | 0.0201872 | − | 0.00898794i | ||||
\(400\) | 0.419371 | − | 0.465759i | 0.0209685 | − | 0.0232879i | ||||
\(401\) | −7.29282 | − | 34.3100i | −0.364186 | − | 1.71336i | −0.654185 | − | 0.756335i | \(-0.726988\pi\) |
0.289999 | − | 0.957027i | \(-0.406345\pi\) | |||||||
\(402\) | −6.03554 | −0.301025 | ||||||||
\(403\) | 11.7804 | − | 16.2549i | 0.586825 | − | 0.809713i | ||||
\(404\) | 2.72116 | 0.135383 | ||||||||
\(405\) | −1.47802 | − | 6.95352i | −0.0734432 | − | 0.345523i | ||||
\(406\) | −38.6493 | + | 42.9244i | −1.91813 | + | 2.13030i | ||||
\(407\) | −26.0314 | + | 11.5899i | −1.29033 | + | 0.574492i | ||||
\(408\) | − | 14.6970i | − | 0.727610i | ||||||
\(409\) | 8.59951 | + | 4.96493i | 0.425218 | + | 0.245500i | 0.697307 | − | 0.716772i | \(-0.254381\pi\) |
−0.272089 | + | 0.962272i | \(0.587715\pi\) | |||||||
\(410\) | 1.87483 | + | 4.21093i | 0.0925910 | + | 0.207963i | ||||
\(411\) | 15.0025 | + | 20.6492i | 0.740019 | + | 1.01855i | ||||
\(412\) | 0.247085 | + | 2.35086i | 0.0121730 | + | 0.115819i | ||||
\(413\) | 42.5851 | − | 9.05175i | 2.09548 | − | 0.445408i | ||||
\(414\) | −10.8877 | − | 1.14435i | −0.535102 | − | 0.0562415i | ||||
\(415\) | 8.62295 | − | 26.5387i | 0.423284 | − | 1.30273i | ||||
\(416\) | −1.80469 | + | 8.31112i | −0.0884824 | + | 0.407486i | ||||
\(417\) | −2.42624 | + | 1.76277i | −0.118813 | + | 0.0863230i | ||||
\(418\) | 0.431203 | + | 0.388257i | 0.0210908 | + | 0.0189903i | ||||
\(419\) | 0.585830 | − | 0.650630i | 0.0286196 | − | 0.0317853i | −0.728665 | − | 0.684870i | \(-0.759859\pi\) |
0.757285 | + | 0.653085i | \(0.226526\pi\) | |||||||
\(420\) | −0.480069 | − | 4.56755i | −0.0234250 | − | 0.222874i | ||||
\(421\) | −20.4013 | + | 6.62877i | −0.994297 | + | 0.323067i | −0.760584 | − | 0.649239i | \(-0.775087\pi\) |
−0.233712 | + | 0.972306i | \(0.575087\pi\) | |||||||
\(422\) | 5.99418 | − | 5.39718i | 0.291792 | − | 0.262731i | ||||
\(423\) | 2.20781 | + | 4.95883i | 0.107348 | + | 0.241107i | ||||
\(424\) | −17.6580 | − | 5.73744i | −0.857550 | − | 0.278635i | ||||
\(425\) | −0.0654004 | − | 0.622243i | −0.00317239 | − | 0.0301832i | ||||
\(426\) | 9.24464 | + | 4.11598i | 0.447904 | + | 0.199420i | ||||
\(427\) | 28.7453 | + | 3.02126i | 1.39108 | + | 0.146209i | ||||
\(428\) | 3.60987 | 0.174489 | ||||||||
\(429\) | 16.1703 | + | 9.43067i | 0.780709 | + | 0.455317i | ||||
\(430\) | 23.6655 | + | 17.1940i | 1.14125 | + | 0.829166i | ||||
\(431\) | 24.8311 | + | 22.3581i | 1.19607 | + | 1.07695i | 0.995253 | + | 0.0973216i | \(0.0310275\pi\) |
0.200821 | + | 0.979628i | \(0.435639\pi\) | |||||||
\(432\) | −25.5156 | + | 5.42351i | −1.22762 | + | 0.260939i | ||||
\(433\) | −11.9681 | + | 20.7293i | −0.575148 | + | 0.996186i | 0.420878 | + | 0.907117i | \(0.361722\pi\) |
−0.996026 | + | 0.0890681i | \(0.971611\pi\) | |||||||
\(434\) | 30.7429 | + | 9.80002i | 1.47571 | + | 0.470416i | ||||
\(435\) | −25.1357 | − | 14.5121i | −1.20516 | − | 0.695802i | ||||
\(436\) | 4.05796 | − | 3.65381i | 0.194341 | − | 0.174986i | ||||
\(437\) | 0.457653 | − | 0.148700i | 0.0218925 | − | 0.00711331i | ||||
\(438\) | −13.0438 | + | 5.80747i | −0.623256 | + | 0.277492i | ||||
\(439\) | 8.98908 | + | 15.5696i | 0.429026 | + | 0.743094i | 0.996787 | − | 0.0800991i | \(-0.0255237\pi\) |
−0.567761 | + | 0.823193i | \(0.692190\pi\) | |||||||
\(440\) | −19.4539 | + | 11.2317i | −0.927429 | + | 0.535451i | ||||
\(441\) | −7.48006 | − | 5.43458i | −0.356193 | − | 0.258789i | ||||
\(442\) | 15.2816 | + | 21.2283i | 0.726870 | + | 1.00973i | ||||
\(443\) | −21.6107 | + | 15.7011i | −1.02675 | + | 0.745981i | −0.967657 | − | 0.252271i | \(-0.918823\pi\) |
−0.0590982 | + | 0.998252i | \(0.518823\pi\) | |||||||
\(444\) | −0.798513 | − | 3.75671i | −0.0378958 | − | 0.178286i | ||||
\(445\) | 3.36955 | − | 32.0591i | 0.159732 | − | 1.51975i | ||||
\(446\) | 16.8128 | + | 18.6725i | 0.796107 | + | 0.884167i | ||||
\(447\) | 21.1960 | − | 6.88700i | 1.00254 | − | 0.325744i | ||||
\(448\) | 20.9671 | − | 2.20373i | 0.990603 | − | 0.104117i | ||||
\(449\) | 2.06586 | − | 9.71912i | 0.0974941 | − | 0.458674i | −0.902135 | − | 0.431453i | \(-0.858001\pi\) |
0.999629 | − | 0.0272205i | \(-0.00866561\pi\) | |||||||
\(450\) | −0.268036 | + | 0.0870900i | −0.0126353 | + | 0.00410546i | ||||
\(451\) | −0.551770 | − | 5.24974i | −0.0259818 | − | 0.247201i | ||||
\(452\) | 2.48429 | − | 2.75908i | 0.116851 | − | 0.129776i | ||||
\(453\) | 4.96964 | + | 23.3803i | 0.233494 | + | 1.09850i | ||||
\(454\) | −4.32397 | − | 3.14155i | −0.202934 | − | 0.147440i | ||||
\(455\) | −20.2508 | − | 22.6900i | −0.949371 | − | 1.06372i | ||||
\(456\) | 0.235415 | − | 0.171039i | 0.0110243 | − | 0.00800962i | ||||
\(457\) | −6.74513 | + | 15.1498i | −0.315524 | + | 0.708679i | −0.999789 | − | 0.0205551i | \(-0.993457\pi\) |
0.684265 | + | 0.729234i | \(0.260123\pi\) | |||||||
\(458\) | −0.787671 | + | 7.49419i | −0.0368054 | + | 0.350180i | ||||
\(459\) | −13.0206 | + | 22.5523i | −0.607748 | + | 1.05265i | ||||
\(460\) | − | 5.00686i | − | 0.233446i | ||||||
\(461\) | −14.9815 | − | 33.6489i | −0.697757 | − | 1.56719i | −0.818502 | − | 0.574503i | \(-0.805195\pi\) |
0.120746 | − | 0.992683i | \(-0.461471\pi\) | |||||||
\(462\) | −6.25573 | + | 29.4309i | −0.291043 | + | 1.36925i | ||||
\(463\) | −18.5362 | − | 6.02276i | −0.861448 | − | 0.279901i | −0.155215 | − | 0.987881i | \(-0.549607\pi\) |
−0.706233 | + | 0.707979i | \(0.749607\pi\) | |||||||
\(464\) | −23.2615 | + | 40.2901i | −1.07989 | + | 1.87042i | ||||
\(465\) | −1.60499 | + | 16.1343i | −0.0744296 | + | 0.748212i | ||||
\(466\) | 5.42146 | − | 3.13008i | 0.251144 | − | 0.144998i | ||||
\(467\) | 3.96831 | − | 12.2132i | 0.183631 | − | 0.565160i | −0.816291 | − | 0.577641i | \(-0.803973\pi\) |
0.999922 | + | 0.0124819i | \(0.00397320\pi\) | |||||||
\(468\) | 1.38479 | − | 1.52447i | 0.0640119 | − | 0.0704687i | ||||
\(469\) | −9.08473 | − | 6.60045i | −0.419494 | − | 0.304780i | ||||
\(470\) | −12.2992 | + | 7.10094i | −0.567319 | + | 0.327542i | ||||
\(471\) | 6.55709 | + | 11.3572i | 0.302135 | + | 0.523312i | ||||
\(472\) | 26.2196 | − | 11.6737i | 1.20686 | − | 0.537327i | ||||
\(473\) | −19.6903 | − | 27.1013i | −0.905360 | − | 1.24612i | ||||
\(474\) | −14.5096 | + | 1.52502i | −0.666448 | + | 0.0700465i | ||||
\(475\) | 0.00920591 | − | 0.00828904i | 0.000422396 | − | 0.000380327i | ||||
\(476\) | −4.31970 | + | 5.94555i | −0.197993 | + | 0.272514i | ||||
\(477\) | 6.82557 | + | 7.58057i | 0.312522 | + | 0.347090i | ||||
\(478\) | 3.06117 | − | 3.39978i | 0.140015 | − | 0.155502i | ||||
\(479\) | 13.1060 | − | 29.4365i | 0.598827 | − | 1.34499i | −0.318905 | − | 0.947787i | \(-0.603315\pi\) |
0.917732 | − | 0.397201i | \(-0.130018\pi\) | |||||||
\(480\) | −2.12267 | − | 6.53291i | −0.0968863 | − | 0.298185i | ||||
\(481\) | −18.8252 | − | 17.1003i | −0.858356 | − | 0.779707i | ||||
\(482\) | −0.963979 | + | 0.700372i | −0.0439080 | + | 0.0319011i | ||||
\(483\) | 18.5436 | + | 16.6967i | 0.843764 | + | 0.759728i | ||||
\(484\) | −2.20434 | + | 0.468548i | −0.100197 | + | 0.0212976i | ||||
\(485\) | −14.9843 | + | 6.67145i | −0.680403 | + | 0.302935i | ||||
\(486\) | 18.8527 | + | 6.12563i | 0.855178 | + | 0.277864i | ||||
\(487\) | −10.7182 | + | 1.12652i | −0.485686 | + | 0.0510477i | −0.344208 | − | 0.938894i | \(-0.611852\pi\) |
−0.141479 | + | 0.989941i | \(0.545186\pi\) | |||||||
\(488\) | 18.9500 | − | 1.99173i | 0.857827 | − | 0.0901613i | ||||
\(489\) | −2.77340 | + | 3.81726i | −0.125418 | + | 0.172622i | ||||
\(490\) | 12.0952 | − | 20.9496i | 0.546407 | − | 0.946404i | ||||
\(491\) | −9.24580 | − | 16.0142i | −0.417257 | − | 0.722711i | 0.578405 | − | 0.815750i | \(-0.303675\pi\) |
−0.995662 | + | 0.0930388i | \(0.970342\pi\) | |||||||
\(492\) | 0.707577 | + | 0.0743693i | 0.0319000 | + | 0.00335283i | ||||
\(493\) | 14.3519 | + | 44.1705i | 0.646376 | + | 1.98934i | ||||
\(494\) | −0.162191 | + | 0.491826i | −0.00729732 | + | 0.0221283i | ||||
\(495\) | 12.3415 | 0.554710 | ||||||||
\(496\) | 25.8617 | + | 2.57264i | 1.16123 | + | 0.115515i | ||||
\(497\) | 9.41387 | + | 16.3053i | 0.422270 | + | 0.731393i | ||||
\(498\) | −16.4873 | − | 18.3110i | −0.738814 | − | 0.820536i | ||||
\(499\) | 19.4986 | − | 6.33547i | 0.872876 | − | 0.283615i | 0.161880 | − | 0.986810i | \(-0.448244\pi\) |
0.710996 | + | 0.703196i | \(0.248244\pi\) | |||||||
\(500\) | 1.89985 | + | 4.26712i | 0.0849637 | + | 0.190832i | ||||
\(501\) | −24.2351 | − | 13.9922i | −1.08275 | − | 0.625124i | ||||
\(502\) | 3.45940i | 0.154400i | ||||||||
\(503\) | −3.03528 | + | 1.35139i | −0.135336 | + | 0.0602556i | −0.473287 | − | 0.880908i | \(-0.656933\pi\) |
0.337951 | + | 0.941164i | \(0.390266\pi\) | |||||||
\(504\) | −11.2522 | − | 5.00980i | −0.501213 | − | 0.223154i | ||||
\(505\) | −5.91954 | + | 13.2955i | −0.263416 | + | 0.591643i | ||||
\(506\) | −10.1363 | + | 31.1962i | −0.450612 | + | 1.38684i | ||||
\(507\) | −1.89201 | + | 16.6001i | −0.0840272 | + | 0.737235i | ||||
\(508\) | −0.706566 | + | 2.17459i | −0.0313488 | + | 0.0964817i | ||||
\(509\) | 10.4644 | + | 9.42215i | 0.463824 | + | 0.417629i | 0.867626 | − | 0.497217i | \(-0.165645\pi\) |
−0.403802 | + | 0.914847i | \(0.632311\pi\) | |||||||
\(510\) | −19.2996 | − | 8.59273i | −0.854600 | − | 0.380493i | ||||
\(511\) | −25.9846 | − | 5.52320i | −1.14949 | − | 0.244332i | ||||
\(512\) | 11.3174 | − | 3.67724i | 0.500162 | − | 0.162513i | ||||
\(513\) | −0.512769 | + | 0.0538941i | −0.0226393 | + | 0.00237948i | ||||
\(514\) | −6.17528 | + | 29.0524i | −0.272380 | + | 1.28145i | ||||
\(515\) | −12.0238 | − | 3.90676i | −0.529830 | − | 0.172152i | ||||
\(516\) | 4.12476 | − | 1.83646i | 0.181582 | − | 0.0808457i | ||||
\(517\) | 15.9084 | − | 3.38143i | 0.699650 | − | 0.148715i | ||||
\(518\) | 16.6268 | − | 37.3444i | 0.730540 | − | 1.64082i | ||||
\(519\) | 13.6585 | − | 9.92347i | 0.599541 | − | 0.435592i | ||||
\(520\) | −16.1683 | − | 11.8556i | −0.709028 | − | 0.519902i | ||||
\(521\) | 4.11756 | 0.180393 | 0.0901967 | − | 0.995924i | \(-0.471250\pi\) | ||||
0.0901967 | + | 0.995924i | \(0.471250\pi\) | |||||||
\(522\) | 18.1174 | − | 10.4601i | 0.792979 | − | 0.457826i | ||||
\(523\) | −2.95285 | + | 28.0945i | −0.129119 | + | 1.22849i | 0.717603 | + | 0.696452i | \(0.245239\pi\) |
−0.846722 | + | 0.532035i | \(0.821427\pi\) | |||||||
\(524\) | −7.62523 | − | 1.62079i | −0.333110 | − | 0.0708046i | ||||
\(525\) | 0.610929 | + | 0.198503i | 0.0266631 | + | 0.00866337i | ||||
\(526\) | −14.3998 | − | 8.31371i | −0.627860 | − | 0.362495i | ||||
\(527\) | 19.1840 | − | 17.4677i | 0.835666 | − | 0.760907i | ||||
\(528\) | 24.2346i | 1.05467i | ||||||||
\(529\) | 2.81238 | + | 3.12346i | 0.122277 | + | 0.135803i | ||||
\(530\) | −17.8581 | + | 19.8335i | −0.775708 | + | 0.861511i | ||||
\(531\) | −15.6821 | − | 1.64825i | −0.680543 | − | 0.0715280i | ||||
\(532\) | −0.145506 | −0.00630850 | ||||||||
\(533\) | 4.09042 | − | 2.33776i | 0.177176 | − | 0.101260i | ||||
\(534\) | −23.0282 | − | 16.7310i | −0.996528 | − | 0.724020i | ||||
\(535\) | −7.85283 | + | 17.6377i | −0.339507 | + | 0.762546i | ||||
\(536\) | −6.76281 | − | 3.01100i | −0.292109 | − | 0.130055i | ||||
\(537\) | 9.02353 | + | 10.0216i | 0.389394 | + | 0.432466i | ||||
\(538\) | 10.9027 | − | 15.0063i | 0.470049 | − | 0.646966i | ||||
\(539\) | −20.5870 | + | 18.5366i | −0.886746 | + | 0.798430i | ||||
\(540\) | −1.11538 | + | 5.24744i | −0.0479982 | + | 0.225814i | ||||
\(541\) | 0.240786 | + | 0.331414i | 0.0103522 | + | 0.0142486i | 0.814162 | − | 0.580638i | \(-0.197197\pi\) |
−0.803810 | + | 0.594887i | \(0.797197\pi\) | |||||||
\(542\) | 22.1626 | + | 4.71081i | 0.951967 | + | 0.202347i | ||||
\(543\) | 2.36617 | − | 2.62789i | 0.101542 | − | 0.112774i | ||||
\(544\) | −4.47074 | + | 10.0414i | −0.191681 | + | 0.430524i | ||||
\(545\) | 9.02483 | + | 27.7756i | 0.386581 | + | 1.18977i | ||||
\(546\) | −26.2920 | + | 5.46820i | −1.12520 | + | 0.234018i | ||||
\(547\) | 6.05594 | + | 4.39990i | 0.258933 | + | 0.188126i | 0.709677 | − | 0.704527i | \(-0.248841\pi\) |
−0.450743 | + | 0.892654i | \(0.648841\pi\) | |||||||
\(548\) | −1.74933 | − | 8.22996i | −0.0747278 | − | 0.351567i | ||||
\(549\) | −9.56352 | − | 4.25796i | −0.408161 | − | 0.181725i | ||||
\(550\) | 0.0882661 | + | 0.839795i | 0.00376368 | + | 0.0358090i | ||||
\(551\) | −0.540495 | + | 0.743928i | −0.0230259 | + | 0.0316924i | ||||
\(552\) | 14.2460 | + | 8.22495i | 0.606351 | + | 0.350077i | ||||
\(553\) | −23.5077 | − | 13.5722i | −0.999649 | − | 0.577148i | ||||
\(554\) | 21.3062 | − | 29.3254i | 0.905212 | − | 1.24592i | ||||
\(555\) | 20.0923 | + | 4.27075i | 0.852870 | + | 0.181283i | ||||
\(556\) | 0.967006 | − | 0.205543i | 0.0410102 | − | 0.00871698i | ||||
\(557\) | −5.76931 | + | 3.33091i | −0.244454 | + | 0.141135i | −0.617222 | − | 0.786789i | \(-0.711742\pi\) |
0.372768 | + | 0.927924i | \(0.378409\pi\) | |||||||
\(558\) | −9.49291 | − | 6.81655i | −0.401867 | − | 0.288568i | ||||
\(559\) | 15.0628 | − | 25.8273i | 0.637087 | − | 1.09238i | ||||
\(560\) | 12.1669 | − | 37.4459i | 0.514146 | − | 1.58238i | ||||
\(561\) | 17.9791 | + | 16.1884i | 0.759078 | + | 0.683476i | ||||
\(562\) | −2.31525 | + | 22.0282i | −0.0976631 | + | 0.929202i | ||||
\(563\) | 16.3962 | − | 28.3990i | 0.691017 | − | 1.19688i | −0.280488 | − | 0.959858i | \(-0.590496\pi\) |
0.971505 | − | 0.237019i | \(-0.0761705\pi\) | |||||||
\(564\) | 2.19209i | 0.0923034i | ||||||||
\(565\) | 8.07655 | + | 18.1402i | 0.339783 | + | 0.763165i | ||||
\(566\) | −39.3414 | + | 4.13495i | −1.65364 | + | 0.173805i | ||||
\(567\) | −6.86472 | − | 9.44848i | −0.288291 | − | 0.396799i | ||||
\(568\) | 8.30523 | + | 9.22389i | 0.348480 | + | 0.387026i | ||||
\(569\) | −0.717383 | + | 6.82544i | −0.0300743 | + | 0.286137i | 0.969140 | + | 0.246510i | \(0.0792838\pi\) |
−0.999215 | + | 0.0396275i | \(0.987383\pi\) | |||||||
\(570\) | −0.0869649 | − | 0.409138i | −0.00364256 | − | 0.0171369i | ||||
\(571\) | 0.560773 | + | 1.72588i | 0.0234676 | + | 0.0722259i | 0.962104 | − | 0.272681i | \(-0.0879104\pi\) |
−0.938637 | + | 0.344907i | \(0.887910\pi\) | |||||||
\(572\) | −3.60518 | − | 5.00812i | −0.150740 | − | 0.209400i | ||||
\(573\) | −3.24525 | − | 9.98784i | −0.135572 | − | 0.417248i | ||||
\(574\) | 5.62762 | + | 5.06714i | 0.234892 | + | 0.211498i | ||||
\(575\) | 0.639751 | + | 0.284835i | 0.0266795 | + | 0.0118785i | ||||
\(576\) | −7.46902 | − | 1.58759i | −0.311209 | − | 0.0661495i | ||||
\(577\) | −31.0944 | − | 10.1032i | −1.29448 | − | 0.420601i | −0.420819 | − | 0.907144i | \(-0.638257\pi\) |
−0.873656 | + | 0.486544i | \(0.838257\pi\) | |||||||
\(578\) | 2.98521 | + | 6.70490i | 0.124168 | + | 0.278887i | ||||
\(579\) | 15.2891 | − | 13.7664i | 0.635395 | − | 0.572113i | ||||
\(580\) | 5.62377 | + | 7.74046i | 0.233514 | + | 0.321405i | ||||
\(581\) | −4.79195 | − | 45.5923i | −0.198803 | − | 1.89149i | ||||
\(582\) | −1.51393 | + | 14.4041i | −0.0627546 | + | 0.597070i | ||||
\(583\) | 26.4687 | − | 15.2817i | 1.09622 | − | 0.632903i | ||||
\(584\) | −17.5127 | −0.724683 | ||||||||
\(585\) | 4.43610 | + | 10.0824i | 0.183410 | + | 0.416854i | ||||
\(586\) | −2.74764 | − | 8.45638i | −0.113504 | − | 0.349330i | ||||
\(587\) | −4.00265 | − | 18.8310i | −0.165207 | − | 0.777239i | −0.980238 | − | 0.197821i | \(-0.936613\pi\) |
0.815031 | − | 0.579418i | \(-0.196720\pi\) | |||||||
\(588\) | −1.86692 | − | 3.23360i | −0.0769905 | − | 0.133351i | ||||
\(589\) | 0.503053 | + | 0.104002i | 0.0207279 | + | 0.00428534i | ||||
\(590\) | − | 41.2559i | − | 1.69848i | ||||||
\(591\) | −16.6526 | + | 14.9941i | −0.684996 | + | 0.616773i | ||||
\(592\) | 6.84559 | − | 32.2060i | 0.281352 | − | 1.32366i | ||||
\(593\) | −9.08944 | + | 12.5105i | −0.373259 | + | 0.513746i | −0.953783 | − | 0.300497i | \(-0.902848\pi\) |
0.580524 | + | 0.814243i | \(0.302848\pi\) | |||||||
\(594\) | 17.5729 | − | 30.4371i | 0.721024 | − | 1.24885i | ||||
\(595\) | −19.6529 | − | 34.0398i | −0.805690 | − | 1.39550i | ||||
\(596\) | −7.30652 | − | 0.767946i | −0.299287 | − | 0.0314563i | ||||
\(597\) | 5.22247 | − | 3.79435i | 0.213741 | − | 0.155292i | ||||
\(598\) | −29.1291 | + | 2.93255i | −1.19118 | + | 0.119921i | ||||
\(599\) | −1.50267 | + | 4.62473i | −0.0613973 | + | 0.188962i | −0.977051 | − | 0.213008i | \(-0.931674\pi\) |
0.915653 | + | 0.401969i | \(0.131674\pi\) | |||||||
\(600\) | 0.421154 | + | 0.0442651i | 0.0171935 | + | 0.00180711i | ||||
\(601\) | 7.51569 | − | 1.59751i | 0.306571 | − | 0.0651638i | −0.0520572 | − | 0.998644i | \(-0.516578\pi\) |
0.358629 | + | 0.933480i | \(0.383244\pi\) | |||||||
\(602\) | 47.0073 | + | 9.99171i | 1.91588 | + | 0.407232i | ||||
\(603\) | 2.39061 | + | 3.29039i | 0.0973530 | + | 0.133995i | ||||
\(604\) | 1.63822 | − | 7.70724i | 0.0666584 | − | 0.313603i | ||||
\(605\) | 2.50597 | − | 11.7897i | 0.101882 | − | 0.479317i | ||||
\(606\) | 7.55369 | + | 10.3968i | 0.306848 | + | 0.422340i | ||||
\(607\) | 38.9869 | + | 8.28693i | 1.58243 | + | 0.336356i | 0.913459 | − | 0.406931i | \(-0.133401\pi\) |
0.668972 | + | 0.743287i | \(0.266734\pi\) | |||||||
\(608\) | −0.212872 | + | 0.0452473i | −0.00863309 | + | 0.00183502i | ||||
\(609\) | −47.4219 | − | 4.98424i | −1.92163 | − | 0.201972i | ||||
\(610\) | 8.46383 | − | 26.0490i | 0.342691 | − | 1.05469i | ||||
\(611\) | 8.48064 | + | 11.7809i | 0.343090 | + | 0.476602i | ||||
\(612\) | 2.15341 | − | 1.56455i | 0.0870466 | − | 0.0632430i | ||||
\(613\) | −41.1896 | − | 4.32920i | −1.66363 | − | 0.174855i | −0.774522 | − | 0.632547i | \(-0.782009\pi\) |
−0.889111 | + | 0.457693i | \(0.848676\pi\) | |||||||
\(614\) | −15.9646 | − | 27.6516i | −0.644280 | − | 1.11593i | ||||
\(615\) | −1.90261 | + | 3.29542i | −0.0767208 | + | 0.132884i | ||||
\(616\) | −21.6920 | + | 29.8564i | −0.873994 | + | 1.20295i | ||||
\(617\) | 4.96404 | − | 23.3540i | 0.199845 | − | 0.940196i | −0.757854 | − | 0.652424i | \(-0.773752\pi\) |
0.957699 | − | 0.287772i | \(-0.0929146\pi\) | |||||||
\(618\) | −8.29609 | + | 7.46983i | −0.333718 | + | 0.300481i | ||||
\(619\) | − | 1.60810i | − | 0.0646351i | −0.999478 | − | 0.0323176i | \(-0.989711\pi\) | ||
0.999478 | − | 0.0323176i | \(-0.0102888\pi\) | |||||||
\(620\) | 2.64662 | − | 4.64361i | 0.106291 | − | 0.186492i | ||||
\(621\) | −14.5735 | − | 25.2421i | −0.584815 | − | 1.01293i | ||||
\(622\) | 8.92375 | + | 41.9830i | 0.357810 | + | 1.68336i | ||||
\(623\) | −16.3653 | − | 50.3671i | −0.655661 | − | 2.01792i | ||||
\(624\) | −19.7983 | + | 8.71100i | −0.792568 | + | 0.348719i | ||||
\(625\) | −25.6533 | −1.02613 | ||||||||
\(626\) | −8.11024 | + | 4.68245i | −0.324150 | + | 0.187148i | ||||
\(627\) | −0.0500698 | + | 0.476382i | −0.00199960 | + | 0.0190249i | ||||
\(628\) | −0.451881 | − | 4.29936i | −0.0180320 | − | 0.171563i | ||||
\(629\) | −19.3201 | − | 26.5918i | −0.770342 | − | 1.06029i | ||||
\(630\) | −13.1574 | + | 11.8470i | −0.524203 | + | 0.471995i | ||||
\(631\) | 12.9508 | + | 29.0880i | 0.515564 | + | 1.15798i | 0.964421 | + | 0.264372i | \(0.0851647\pi\) |
−0.448857 | + | 0.893604i | \(0.648169\pi\) | |||||||
\(632\) | −17.0188 | − | 5.52974i | −0.676971 | − | 0.219961i | ||||
\(633\) | 6.51319 | + | 1.38442i | 0.258876 | + | 0.0550258i | ||||
\(634\) | 34.2247 | + | 15.2378i | 1.35924 | + | 0.605171i | ||||
\(635\) | −9.08794 | − | 8.18282i | −0.360644 | − | 0.324725i | ||||
\(636\) | 1.27297 | + | 3.91781i | 0.0504767 | + | 0.155351i | ||||
\(637\) | −22.5433 | − | 10.1556i | −0.893200 | − | 0.402379i | ||||
\(638\) | −19.3696 | − | 59.6136i | −0.766851 | − | 2.36013i | ||||
\(639\) | −1.41779 | − | 6.67018i | −0.0560869 | − | 0.263868i | ||||
\(640\) | 3.20566 | − | 30.4998i | 0.126715 | − | 1.20561i | ||||
\(641\) | −19.0921 | − | 21.2039i | −0.754092 | − | 0.837504i | 0.236885 | − | 0.971538i | \(-0.423874\pi\) |
−0.990977 | + | 0.134034i | \(0.957207\pi\) | |||||||
\(642\) | 10.0207 | + | 13.7923i | 0.395484 | + | 0.544338i | ||||
\(643\) | 5.80068 | − | 0.609676i | 0.228756 | − | 0.0240433i | 0.0105434 | − | 0.999944i | \(-0.496644\pi\) |
0.218213 | + | 0.975901i | \(0.429977\pi\) | |||||||
\(644\) | −3.34567 | − | 7.51449i | −0.131838 | − | 0.296113i | ||||
\(645\) | 24.1485i | 0.950846i | ||||||||
\(646\) | −0.334658 | + | 0.579644i | −0.0131669 | + | 0.0228058i | ||||
\(647\) | −1.03784 | + | 9.87437i | −0.0408016 | + | 0.388201i | 0.954996 | + | 0.296619i | \(0.0958591\pi\) |
−0.995798 | + | 0.0915824i | \(0.970808\pi\) | |||||||
\(648\) | −5.72163 | − | 5.15178i | −0.224767 | − | 0.202381i | ||||
\(649\) | −14.5997 | + | 44.9333i | −0.573089 | + | 1.76379i | ||||
\(650\) | −0.654340 | + | 0.373969i | −0.0256653 | + | 0.0146683i | ||||
\(651\) | 8.37239 | + | 25.2875i | 0.328140 | + | 0.991096i | ||||
\(652\) | 1.34702 | − | 0.777701i | 0.0527533 | − | 0.0304571i | ||||
\(653\) | 1.96873 | − | 0.418467i | 0.0770425 | − | 0.0163759i | −0.169229 | − | 0.985577i | \(-0.554128\pi\) |
0.246272 | + | 0.969201i | \(0.420794\pi\) | |||||||
\(654\) | 25.2247 | + | 5.36168i | 0.986365 | + | 0.209658i | ||||
\(655\) | 24.5069 | − | 33.7309i | 0.957564 | − | 1.31797i | ||||
\(656\) | 5.28224 | + | 3.04970i | 0.206237 | + | 0.119071i | ||||
\(657\) | 8.33254 | + | 4.81079i | 0.325083 | + | 0.187687i | ||||
\(658\) | −13.7141 | + | 18.8759i | −0.534633 | + | 0.735859i | ||||
\(659\) | 0.963961 | + | 9.17147i | 0.0375506 | + | 0.357270i | 0.997123 | + | 0.0758065i | \(0.0241531\pi\) |
−0.959572 | + | 0.281463i | \(0.909180\pi\) | |||||||
\(660\) | 4.55310 | + | 2.02717i | 0.177229 | + | 0.0789075i | ||||
\(661\) | 3.39228 | + | 15.9594i | 0.131944 | + | 0.620750i | 0.993571 | + | 0.113208i | \(0.0361125\pi\) |
−0.861627 | + | 0.507542i | \(0.830554\pi\) | |||||||
\(662\) | 11.9810 | + | 8.70474i | 0.465657 | + | 0.338319i | ||||
\(663\) | −6.76258 | + | 20.5068i | −0.262637 | + | 0.796418i | ||||
\(664\) | −9.33904 | − | 28.7426i | −0.362425 | − | 1.11543i | ||||
\(665\) | 0.316531 | − | 0.710941i | 0.0122746 | − | 0.0275691i | ||||
\(666\) | −9.90698 | + | 11.0028i | −0.383888 | + | 0.426351i | ||||
\(667\) | −50.8470 | − | 10.8079i | −1.96880 | − | 0.418482i | ||||
\(668\) | 5.42228 | + | 7.46313i | 0.209794 | + | 0.288757i | ||||
\(669\) | −4.31261 | + | 20.2892i | −0.166735 | + | 0.784427i | ||||
\(670\) | −7.90788 | + | 7.12028i | −0.305508 | + | 0.275081i | ||||
\(671\) | −18.4365 | + | 25.3757i | −0.711735 | + | 0.979619i | ||||
\(672\) | −7.55119 | − | 8.38645i | −0.291293 | − | 0.323514i | ||||
\(673\) | 20.8162 | + | 9.26796i | 0.802405 | + | 0.357254i | 0.766616 | − | 0.642106i | \(-0.221939\pi\) |
0.0357886 | + | 0.999359i | \(0.488606\pi\) | |||||||
\(674\) | −12.6951 | + | 28.5136i | −0.488997 | + | 1.09830i | ||||
\(675\) | −0.607038 | − | 0.441039i | −0.0233649 | − | 0.0169756i | ||||
\(676\) | 2.79550 | − | 4.74538i | 0.107519 | − | 0.182515i | ||||
\(677\) | 38.1876 | 1.46767 | 0.733834 | − | 0.679329i | \(-0.237729\pi\) | ||||
0.733834 | + | 0.679329i | \(0.237729\pi\) | |||||||
\(678\) | 17.4378 | + | 1.83279i | 0.669696 | + | 0.0703879i | ||||
\(679\) | −18.0311 | + | 20.0255i | −0.691969 | + | 0.768510i | ||||
\(680\) | −17.3384 | − | 19.2563i | −0.664898 | − | 0.738445i | ||||
\(681\) | − | 4.41223i | − | 0.169077i | ||||||
\(682\) | −25.8912 | + | 23.5749i | −0.991423 | + | 0.902730i | ||||
\(683\) | −1.46836 | − | 0.847756i | −0.0561851 | − | 0.0324385i | 0.471644 | − | 0.881789i | \(-0.343661\pi\) |
−0.527829 | + | 0.849350i | \(0.676994\pi\) | |||||||
\(684\) | 0.0501214 | + | 0.0162854i | 0.00191644 | + | 0.000622689i | ||||
\(685\) | 44.0169 | + | 9.35608i | 1.68180 | + | 0.357478i | ||||
\(686\) | −0.0862929 | + | 0.821022i | −0.00329468 | + | 0.0313468i | ||||
\(687\) | −5.38734 | + | 3.11038i | −0.205540 | + | 0.118668i | ||||
\(688\) | 38.7077 | 1.47572 | ||||||||
\(689\) | 21.9983 | + | 16.1305i | 0.838070 | + | 0.614524i | ||||
\(690\) | 19.1298 | − | 13.8986i | 0.728259 | − | 0.529111i | ||||
\(691\) | 14.3051 | − | 32.1298i | 0.544192 | − | 1.22227i | −0.406930 | − | 0.913459i | \(-0.633401\pi\) |
0.951122 | − | 0.308815i | \(-0.0999325\pi\) | |||||||
\(692\) | −5.44374 | + | 1.15710i | −0.206940 | + | 0.0439865i | ||||
\(693\) | 18.5226 | − | 8.24681i | 0.703617 | − | 0.313270i | ||||
\(694\) | −30.5749 | − | 9.93439i | −1.16061 | − | 0.377104i | ||||
\(695\) | −1.09932 | + | 5.17191i | −0.0416997 | + | 0.196182i | ||||
\(696\) | −31.2623 | + | 3.28580i | −1.18500 | + | 0.124548i | ||||
\(697\) | 5.79099 | − | 1.88161i | 0.219349 | − | 0.0712709i | ||||
\(698\) | −46.0695 | − | 9.79237i | −1.74376 | − | 0.370647i | ||||
\(699\) | 4.72116 | + | 2.10200i | 0.178571 | + | 0.0795048i | ||||
\(700\) | −0.157364 | − | 0.141692i | −0.00594781 | − | 0.00535544i | ||||
\(701\) | 6.50063 | − | 20.0069i | 0.245525 | − | 0.755649i | −0.750024 | − | 0.661410i | \(-0.769958\pi\) |
0.995550 | − | 0.0942391i | \(-0.0300418\pi\) | |||||||
\(702\) | 31.1820 | + | 3.41561i | 1.17689 | + | 0.128914i | ||||
\(703\) | 0.201104 | − | 0.618934i | 0.00758477 | − | 0.0233435i | ||||
\(704\) | −9.30563 | + | 20.9008i | −0.350719 | + | 0.787728i | ||||
\(705\) | −10.7105 | − | 4.76862i | −0.403380 | − | 0.179596i | ||||
\(706\) | 36.4616 | − | 16.2337i | 1.37225 | − | 0.610965i | ||||
\(707\) | 23.9100i | 0.899227i | ||||||||
\(708\) | −5.51477 | − | 3.18396i | −0.207258 | − | 0.119660i | ||||
\(709\) | −20.0927 | − | 45.1290i | −0.754599 | − | 1.69486i | −0.718519 | − | 0.695507i | \(-0.755180\pi\) |
−0.0360798 | − | 0.999349i | \(-0.511487\pi\) | |||||||
\(710\) | 16.9682 | − | 5.51331i | 0.636806 | − | 0.206911i | ||||
\(711\) | 6.57848 | + | 7.30614i | 0.246712 | + | 0.274002i | ||||
\(712\) | −17.4564 | − | 30.2353i | −0.654204 | − | 1.13312i | ||||
\(713\) | 6.19576 | + | 28.3709i | 0.232033 | + | 1.06250i | ||||
\(714\) | −34.7074 | −1.29889 | ||||||||
\(715\) | 32.3122 | − | 6.72028i | 1.20841 | − | 0.251324i | ||||
\(716\) | −1.37371 | − | 4.22786i | −0.0513381 | − | 0.158002i | ||||
\(717\) | 3.75599 | + | 0.394771i | 0.140270 | + | 0.0147430i | ||||
\(718\) | −11.9849 | − | 20.7584i | −0.447271 | − | 0.774696i | ||||
\(719\) | −10.2369 | + | 17.7309i | −0.381773 | + | 0.661251i | −0.991316 | − | 0.131502i | \(-0.958020\pi\) |
0.609542 | + | 0.792754i | \(0.291353\pi\) | |||||||
\(720\) | −8.38207 | + | 11.5369i | −0.312381 | + | 0.429956i | ||||
\(721\) | −20.6563 | + | 2.17106i | −0.769281 | + | 0.0808547i | ||||
\(722\) | 29.4042 | − | 3.09050i | 1.09431 | − | 0.115017i | ||||
\(723\) | −0.935512 | − | 0.303966i | −0.0347921 | − | 0.0113046i | ||||
\(724\) | −1.06491 | + | 0.474129i | −0.0395771 | + | 0.0176209i | ||||
\(725\) | −1.30897 | + | 0.278229i | −0.0486138 | + | 0.0103332i | ||||
\(726\) | −7.90926 | − | 7.12153i | −0.293540 | − | 0.264305i | ||||
\(727\) | 18.3801 | − | 13.3539i | 0.681681 | − | 0.495271i | −0.192234 | − | 0.981349i | \(-0.561573\pi\) |
0.873915 | + | 0.486079i | \(0.161573\pi\) | |||||||
\(728\) | −32.1881 | − | 6.98941i | −1.19297 | − | 0.259045i | ||||
\(729\) | 7.96536 | + | 24.5149i | 0.295013 | + | 0.907958i | ||||
\(730\) | −10.2390 | + | 22.9971i | −0.378962 | + | 0.851162i | ||||
\(731\) | 25.8563 | − | 28.7164i | 0.956331 | − | 1.06211i | ||||
\(732\) | −2.82883 | − | 3.14174i | −0.104557 | − | 0.116122i | ||||
\(733\) | −29.0882 | + | 40.0364i | −1.07440 | + | 1.47878i | −0.208850 | + | 0.977948i | \(0.566972\pi\) |
−0.865545 | + | 0.500831i | \(0.833028\pi\) | |||||||
\(734\) | 18.5065 | − | 16.6633i | 0.683086 | − | 0.615053i | ||||
\(735\) | 19.8606 | − | 2.08743i | 0.732568 | − | 0.0769960i | ||||
\(736\) | −7.23135 | − | 9.95310i | −0.266551 | − | 0.366876i | ||||
\(737\) | 11.1325 | − | 4.95651i | 0.410071 | − | 0.182575i | ||||
\(738\) | −1.37138 | − | 2.37529i | −0.0504810 | − | 0.0874357i | ||||
\(739\) | −7.46816 | + | 4.31174i | −0.274721 | + | 0.158610i | −0.631031 | − | 0.775758i | \(-0.717368\pi\) |
0.356310 | + | 0.934368i | \(0.384035\pi\) | |||||||
\(740\) | −5.47811 | − | 3.98008i | −0.201379 | − | 0.146311i | ||||
\(741\) | −0.407176 | + | 0.130329i | −0.0149580 | + | 0.00478776i | ||||
\(742\) | −13.5491 | + | 41.7000i | −0.497404 | + | 1.53085i | ||||
\(743\) | 15.3984 | − | 8.89025i | 0.564911 | − | 0.326152i | −0.190203 | − | 0.981745i | \(-0.560915\pi\) |
0.755114 | + | 0.655593i | \(0.227581\pi\) | |||||||
\(744\) | 8.86478 | + | 15.1587i | 0.324999 | + | 0.555743i | ||||
\(745\) | 19.6466 | − | 34.0289i | 0.719796 | − | 1.24672i | ||||
\(746\) | 33.4682 | + | 10.8745i | 1.22536 | + | 0.398143i | ||||
\(747\) | −3.45216 | + | 16.2411i | −0.126308 | + | 0.594232i | ||||
\(748\) | −3.24381 | − | 7.28573i | −0.118606 | − | 0.266393i | ||||
\(749\) | 31.7188i | 1.15898i | ||||||||
\(750\) | −11.0297 | + | 19.1039i | −0.402746 | + | 0.697577i | ||||
\(751\) | −0.693762 | + | 6.60071i | −0.0253158 | + | 0.240863i | 0.974545 | + | 0.224191i | \(0.0719739\pi\) |
−0.999861 | + | 0.0166724i | \(0.994693\pi\) | |||||||
\(752\) | −7.64362 | + | 17.1679i | −0.278734 | + | 0.626047i | ||||
\(753\) | −2.31042 | + | 1.67862i | −0.0841964 | + | 0.0611723i | ||||
\(754\) | 41.7388 | − | 37.2518i | 1.52004 | − | 1.35663i | ||||
\(755\) | 34.0936 | + | 24.7705i | 1.24079 | + | 0.901490i | ||||
\(756\) | 1.83242 | + | 8.62087i | 0.0666446 | + | 0.313538i | ||||
\(757\) | 19.8337 | − | 22.0275i | 0.720867 | − | 0.800604i | −0.265684 | − | 0.964060i | \(-0.585598\pi\) |
0.986551 | + | 0.163457i | \(0.0522644\pi\) | |||||||
\(758\) | 3.30715 | + | 31.4655i | 0.120121 | + | 1.14288i | ||||
\(759\) | −25.7534 | + | 8.36780i | −0.934791 | + | 0.303732i | ||||
\(760\) | 0.106666 | − | 0.501823i | 0.00386917 | − | 0.0182030i | ||||
\(761\) | 23.1802 | − | 2.43633i | 0.840280 | − | 0.0883170i | 0.325397 | − | 0.945577i | \(-0.394502\pi\) |
0.514883 | + | 0.857260i | \(0.327835\pi\) | |||||||
\(762\) | −10.2698 | + | 3.33688i | −0.372037 | + | 0.120882i | ||||
\(763\) | 32.1049 | + | 35.6561i | 1.16228 | + | 1.29084i | ||||
\(764\) | −0.361867 | + | 3.44293i | −0.0130919 | + | 0.124561i | ||||
\(765\) | 2.95985 | + | 13.9250i | 0.107014 | + | 0.503460i | ||||
\(766\) | 28.7166 | − | 20.8638i | 1.03757 | − | 0.753841i | ||||
\(767\) | −41.9558 | + | 4.22388i | −1.51494 | + | 0.152515i | ||||
\(768\) | −10.1311 | − | 7.36065i | −0.365574 | − | 0.265605i | ||||
\(769\) | 9.13940 | − | 5.27663i | 0.329575 | − | 0.190280i | −0.326077 | − | 0.945343i | \(-0.605727\pi\) |
0.655652 | + | 0.755063i | \(0.272394\pi\) | |||||||
\(770\) | 26.5240 | + | 45.9410i | 0.955860 | + | 1.65560i | ||||
\(771\) | −22.3996 | + | 9.97296i | −0.806703 | + | 0.359167i | ||||
\(772\) | −6.45008 | + | 2.09576i | −0.232143 | + | 0.0754279i | ||||
\(773\) | 8.91661 | − | 8.02855i | 0.320708 | − | 0.288767i | −0.493014 | − | 0.870022i | \(-0.664105\pi\) |
0.813722 | + | 0.581255i | \(0.197438\pi\) | |||||||
\(774\) | −15.0739 | − | 8.70294i | −0.541821 | − | 0.312821i | ||||
\(775\) | 0.442773 | + | 0.602342i | 0.0159049 | + | 0.0216368i | ||||
\(776\) | −8.88226 | + | 15.3845i | −0.318854 | + | 0.552272i | ||||
\(777\) | 33.0091 | − | 7.01629i | 1.18419 | − | 0.251708i | ||||
\(778\) | 4.30239 | + | 3.87389i | 0.154248 | + | 0.138886i | ||||
\(779\) | 0.0975329 | + | 0.0708618i | 0.00349448 | + | 0.00253889i | ||||
\(780\) | −0.0194987 | + | 4.44829i | −0.000698165 | + | 0.159274i | ||||
\(781\) | −20.4318 | −0.731107 | ||||||||
\(782\) | −37.6299 | − | 3.95506i | −1.34564 | − | 0.141433i | ||||
\(783\) | 50.8825 | + | 22.6543i | 1.81839 | + | 0.809600i | ||||
\(784\) | −3.34595 | − | 31.8345i | −0.119498 | − | 1.13695i | ||||
\(785\) | 21.9896 | + | 7.14486i | 0.784843 | + | 0.255011i | ||||
\(786\) | −14.9744 | − | 33.6330i | −0.534118 | − | 1.19965i | ||||
\(787\) | −21.4164 | + | 19.2834i | −0.763411 | + | 0.687378i | −0.955825 | − | 0.293936i | \(-0.905035\pi\) |
0.192414 | + | 0.981314i | \(0.438368\pi\) | |||||||
\(788\) | 7.02527 | − | 2.28265i | 0.250265 | − | 0.0813160i | ||||
\(789\) | −1.43480 | − | 13.6513i | −0.0510804 | − | 0.485997i | ||||
\(790\) | −17.2116 | + | 19.1155i | −0.612363 | + | 0.680098i | ||||
\(791\) | 24.2432 | + | 21.8287i | 0.861989 | + | 0.776139i | ||||
\(792\) | 10.8137 | − | 7.85658i | 0.384247 | − | 0.279172i | ||||
\(793\) | −27.3575 | − | 5.94047i | −0.971494 | − | 0.210952i | ||||
\(794\) | −0.950125 | + | 2.92418i | −0.0337187 | + | 0.103775i | ||||
\(795\) | −21.9115 | − | 2.30299i | −0.777122 | − | 0.0816788i | ||||
\(796\) | −2.08148 | + | 0.442431i | −0.0737759 | + | 0.0156816i | ||||
\(797\) | −4.81938 | − | 45.8533i | −0.170711 | − | 1.62421i | −0.659429 | − | 0.751767i | \(-0.729202\pi\) |
0.488718 | − | 0.872442i | \(-0.337465\pi\) | |||||||
\(798\) | −0.403913 | − | 0.555939i | −0.0142984 | − | 0.0196800i | ||||
\(799\) | 7.63059 | + | 17.1386i | 0.269951 | + | 0.606319i | ||||
\(800\) | −0.274281 | − | 0.158356i | −0.00969728 | − | 0.00559873i | ||||
\(801\) | 19.1812i | 0.677735i | ||||||||
\(802\) | −49.8865 | + | 22.2109i | −1.76155 | + | 0.784294i | ||||
\(803\) | 19.2899 | − | 21.4236i | 0.680727 | − | 0.756024i | ||||
\(804\) | 0.341489 | + | 1.60658i | 0.0120434 | + | 0.0566597i | ||||
\(805\) | 43.9938 | 1.55058 | ||||||||
\(806\) | −28.5659 | − | 12.6778i | −1.00619 | − | 0.446556i | ||||
\(807\) | 15.3126 | 0.539028 | ||||||||
\(808\) | 3.27718 | + | 15.4179i | 0.115291 | + | 0.542401i | ||||
\(809\) | −18.7249 | + | 20.7961i | −0.658331 | + | 0.731151i | −0.976173 | − | 0.216993i | \(-0.930375\pi\) |
0.317842 | + | 0.948144i | \(0.397042\pi\) | |||||||
\(810\) | −10.1103 | + | 4.50142i | −0.355241 | + | 0.158164i | ||||
\(811\) | 20.4233i | 0.717158i | 0.933499 | + | 0.358579i | \(0.116739\pi\) | ||||
−0.933499 | + | 0.358579i | \(0.883261\pi\) | |||||||
\(812\) | 13.6127 | + | 7.85928i | 0.477711 | + | 0.275807i | ||||
\(813\) | 7.60788 | + | 17.0876i | 0.266820 | + | 0.599287i | ||||
\(814\) | 26.0749 | + | 35.8890i | 0.913924 | + | 1.25791i | ||||
\(815\) | 0.869558 | + | 8.27330i | 0.0304593 | + | 0.289801i | ||||
\(816\) | −27.3440 | + | 5.81215i | −0.957233 | + | 0.203466i | ||||
\(817\) | 0.760882 | + | 0.0799720i | 0.0266199 | + | 0.00279786i | ||||
\(818\) | 4.77707 | − | 14.7023i | 0.167026 | − | 0.514054i | ||||
\(819\) | 13.3951 | + | 12.1677i | 0.468062 | + | 0.425174i | ||||
\(820\) | 1.01482 | − | 0.737307i | 0.0354389 | − | 0.0257479i | ||||
\(821\) | −1.51327 | − | 1.36256i | −0.0528136 | − | 0.0475536i | 0.642301 | − | 0.766452i | \(-0.277980\pi\) |
−0.695115 | + | 0.718899i | \(0.744646\pi\) | |||||||
\(822\) | 26.5884 | − | 29.5294i | 0.927376 | − | 1.02996i | ||||
\(823\) | 1.68969 | + | 16.0763i | 0.0588988 | + | 0.560384i | 0.983685 | + | 0.179898i | \(0.0575767\pi\) |
−0.924787 | + | 0.380486i | \(0.875757\pi\) | |||||||
\(824\) | −13.0223 | + | 4.23119i | −0.453653 | + | 0.147401i | ||||
\(825\) | −0.518043 | + | 0.466448i | −0.0180359 | + | 0.0162396i | ||||
\(826\) | −27.5678 | − | 61.9184i | −0.959208 | − | 2.15442i | ||||
\(827\) | −42.7721 | − | 13.8975i | −1.48733 | − | 0.483263i | −0.551037 | − | 0.834481i | \(-0.685768\pi\) |
−0.936294 | + | 0.351218i | \(0.885768\pi\) | |||||||
\(828\) | 0.311415 | + | 2.96291i | 0.0108224 | + | 0.102968i | ||||
\(829\) | 7.08302 | + | 3.15356i | 0.246003 | + | 0.109528i | 0.526035 | − | 0.850463i | \(-0.323678\pi\) |
−0.280031 | + | 0.959991i | \(0.590345\pi\) | |||||||
\(830\) | −43.2040 | − | 4.54092i | −1.49963 | − | 0.157618i | ||||
\(831\) | 29.9240 | 1.03805 | ||||||||
\(832\) | −20.4197 | − | 0.0895077i | −0.707924 | − | 0.00310312i | ||||
\(833\) | −25.8524 | − | 18.7829i | −0.895732 | − | 0.650787i | ||||
\(834\) | 3.46965 | + | 3.12408i | 0.120144 | + | 0.108178i | ||||
\(835\) | −48.2602 | + | 10.2580i | −1.67011 | + | 0.354994i | ||||
\(836\) | 0.0789514 | − | 0.136748i | 0.00273059 | − | 0.00472952i | ||||
\(837\) | −0.173285 | − | 31.1143i | −0.00598962 | − | 1.07547i | ||||
\(838\) | −1.18039 | − | 0.681501i | −0.0407760 | − | 0.0235420i | ||||
\(839\) | −33.6275 | + | 30.2784i | −1.16095 | + | 1.04532i | −0.162672 | + | 0.986680i | \(0.552011\pi\) |
−0.998279 | + | 0.0586447i | \(0.981322\pi\) | |||||||
\(840\) | 25.3013 | − | 8.22090i | 0.872979 | − | 0.283648i | ||||
\(841\) | 64.2546 | − | 28.6080i | 2.21568 | − | 0.986483i | ||||
\(842\) | 16.6977 | + | 28.9213i | 0.575441 | + | 0.996692i | ||||
\(843\) | −15.8354 | + | 9.14255i | −0.545399 | + | 0.314886i | ||||
\(844\) | −1.77581 | − | 1.29020i | −0.0611258 | − | 0.0444105i | ||||
\(845\) | 17.1046 | + | 23.9818i | 0.588415 | + | 0.824998i | ||||
\(846\) | 6.83664 | − | 4.96711i | 0.235048 | − | 0.170773i | ||||
\(847\) | −4.11699 | − | 19.3689i | −0.141461 | − | 0.665523i | ||||
\(848\) | −3.69148 | + | 35.1220i | −0.126766 | + | 1.20610i | ||||
\(849\) | −21.8514 | − | 24.2685i | −0.749939 | − | 0.832892i | ||||
\(850\) | −0.926378 | + | 0.300998i | −0.0317745 | + | 0.0103242i | ||||
\(851\) | 36.5881 | − | 3.84556i | 1.25422 | − | 0.131824i | ||||
\(852\) | 0.572560 | − | 2.69368i | 0.0196156 | − | 0.0922840i | ||||
\(853\) | 11.9454 | − | 3.88130i | 0.409003 | − | 0.132893i | −0.0972869 | − | 0.995256i | \(-0.531016\pi\) |
0.506290 | + | 0.862363i | \(0.331016\pi\) | |||||||
\(854\) | −4.70352 | − | 44.7510i | −0.160951 | − | 1.53135i | ||||
\(855\) | −0.188603 | + | 0.209465i | −0.00645010 | + | 0.00716356i | ||||
\(856\) | 4.34748 | + | 20.4533i | 0.148594 | + | 0.699080i | ||||
\(857\) | 14.1195 | + | 10.2584i | 0.482311 | + | 0.350420i | 0.802220 | − | 0.597029i | \(-0.203652\pi\) |
−0.319909 | + | 0.947448i | \(0.603652\pi\) | |||||||
\(858\) | 9.12695 | − | 27.6765i | 0.311589 | − | 0.944860i | ||||
\(859\) | 15.2035 | − | 11.0460i | 0.518736 | − | 0.376884i | −0.297391 | − | 0.954756i | \(-0.596117\pi\) |
0.816128 | + | 0.577872i | \(0.196117\pi\) | |||||||
\(860\) | 3.23782 | − | 7.27225i | 0.110409 | − | 0.247982i | ||||
\(861\) | −0.653460 | + | 6.21726i | −0.0222699 | + | 0.211884i | ||||
\(862\) | 26.0093 | − | 45.0495i | 0.885881 | − | 1.53439i | ||||
\(863\) | 14.5333i | 0.494720i | 0.968924 | + | 0.247360i | \(0.0795630\pi\) | ||||
−0.968924 | + | 0.247360i | \(0.920437\pi\) | |||||||
\(864\) | 5.36156 | + | 12.0423i | 0.182404 | + | 0.409686i | ||||
\(865\) | 6.18862 | − | 29.1152i | 0.210419 | − | 0.989945i | ||||
\(866\) | 35.4402 | + | 11.5152i | 1.20431 | + | 0.391303i | ||||
\(867\) | −3.02946 | + | 5.24718i | −0.102886 | + | 0.178204i | ||||
\(868\) | 0.869210 | − | 8.73783i | 0.0295029 | − | 0.296581i | ||||
\(869\) | 25.5105 | − | 14.7285i | 0.865383 | − | 0.499629i | ||||
\(870\) | −13.9630 | + | 42.9737i | −0.473390 | + | 1.45694i | ||||
\(871\) | 8.05072 | + | 7.31306i | 0.272788 | + | 0.247793i | ||||
\(872\) | 25.5894 | + | 18.5918i | 0.866567 | + | 0.629598i | ||||
\(873\) | 8.45233 | − | 4.87995i | 0.286068 | − | 0.165161i | ||||
\(874\) | −0.374572 | − | 0.648778i | −0.0126701 | − | 0.0219453i | ||||
\(875\) | −37.4939 | + | 16.6934i | −1.26753 | + | 0.564339i | ||||
\(876\) | 2.28388 | + | 3.14350i | 0.0771653 | + | 0.106209i | ||||
\(877\) | 12.5972 | − | 1.32402i | 0.425376 | − | 0.0447088i | 0.110578 | − | 0.993867i | \(-0.464730\pi\) |
0.314798 | + | 0.949159i | \(0.398063\pi\) | |||||||
\(878\) | 20.7996 | − | 18.7280i | 0.701952 | − | 0.632041i | ||||
\(879\) | 4.31449 | − | 5.93839i | 0.145524 | − | 0.200297i | ||||
\(880\) | 28.5902 | + | 31.7526i | 0.963774 | + | 1.07038i | ||||
\(881\) | −17.0308 | + | 18.9146i | −0.573781 | + | 0.637248i | −0.958264 | − | 0.285884i | \(-0.907713\pi\) |
0.384483 | + | 0.923132i | \(0.374380\pi\) | |||||||
\(882\) | −5.85459 | + | 13.1496i | −0.197134 | + | 0.442771i | ||||
\(883\) | 6.47582 | + | 19.9305i | 0.217929 | + | 0.670716i | 0.998933 | + | 0.0461897i | \(0.0147079\pi\) |
−0.781004 | + | 0.624526i | \(0.785292\pi\) | |||||||
\(884\) | 4.78607 | − | 5.26884i | 0.160973 | − | 0.177210i | ||||
\(885\) | 27.5535 | − | 20.0188i | 0.926200 | − | 0.672924i | ||||
\(886\) | 30.9044 | + | 27.8264i | 1.03825 | + | 0.934848i | ||||
\(887\) | 15.9241 | − | 3.38477i | 0.534678 | − | 0.113649i | 0.0673435 | − | 0.997730i | \(-0.478548\pi\) |
0.467335 | + | 0.884081i | \(0.345214\pi\) | |||||||
\(888\) | 20.3236 | − | 9.04867i | 0.682017 | − | 0.303653i | ||||
\(889\) | −19.1074 | − | 6.20838i | −0.640843 | − | 0.208222i | ||||
\(890\) | −49.9100 | + | 5.24575i | −1.67299 | + | 0.175838i | ||||
\(891\) | 12.6045 | − | 1.32479i | 0.422267 | − | 0.0443821i | ||||
\(892\) | 4.01910 | − | 5.53181i | 0.134569 | − | 0.185219i | ||||
\(893\) | −0.185721 | + | 0.321679i | −0.00621493 | + | 0.0107646i | ||||
\(894\) | −17.3482 | − | 30.0479i | −0.580209 | − | 1.00495i | ||||
\(895\) | 23.6456 | + | 2.48525i | 0.790385 | + | 0.0830728i | ||||
\(896\) | −15.5693 | − | 47.9174i | −0.520134 | − | 1.60081i | ||||
\(897\) | −16.0930 | − | 18.0314i | −0.537329 | − | 0.602051i | ||||
\(898\) | −15.4689 | −0.516203 | ||||||||
\(899\) | −41.4450 | − | 36.9014i | −1.38227 | − | 1.23073i | ||||
\(900\) | 0.0383476 | + | 0.0664199i | 0.00127825 | + | 0.00221400i | ||||
\(901\) | 23.5904 | + | 26.1998i | 0.785909 | + | 0.872841i | ||||
\(902\) | −7.81566 | + | 2.53946i | −0.260233 | + | 0.0845549i | ||||
\(903\) | 16.1364 | + | 36.2430i | 0.536987 | + | 1.20609i | ||||
\(904\) | 18.6247 | + | 10.7530i | 0.619449 | + | 0.357639i | ||||
\(905\) | − | 6.23455i | − | 0.207243i | ||||||
\(906\) | 33.9947 | − | 15.1354i | 1.12940 | − | 0.502841i | ||||
\(907\) | −14.9988 | − | 6.67788i | −0.498025 | − | 0.221735i | 0.142322 | − | 0.989820i | \(-0.454543\pi\) |
−0.640348 | + | 0.768085i | \(0.721210\pi\) | |||||||
\(908\) | −0.591589 | + | 1.32873i | −0.0196326 | + | 0.0440955i | ||||
\(909\) | 2.67606 | − | 8.23607i | 0.0887594 | − | 0.273173i | ||||
\(910\) | −27.9973 | + | 38.1820i | −0.928103 | + | 1.26572i | ||||
\(911\) | −3.05155 | + | 9.39169i | −0.101102 | + | 0.311161i | −0.988796 | − | 0.149274i | \(-0.952306\pi\) |
0.887694 | + | 0.460435i | \(0.152306\pi\) | |||||||
\(912\) | −0.411319 | − | 0.370353i | −0.0136201 | − | 0.0122636i | ||||
\(913\) | 45.4481 | + | 20.2348i | 1.50411 | + | 0.669674i | ||||
\(914\) | 25.2533 | + | 5.36775i | 0.835304 | + | 0.177549i | ||||
\(915\) | 21.5042 | − | 6.98715i | 0.710908 | − | 0.230988i | ||||
\(916\) | 2.03942 | − | 0.214352i | 0.0673843 | − | 0.00708237i | ||||
\(917\) | 14.2414 | − | 67.0005i | 0.470293 | − | 2.21255i | ||||
\(918\) | 38.5569 | + | 12.5279i | 1.27257 | + | 0.413482i | ||||
\(919\) | −38.0881 | + | 16.9579i | −1.25641 | + | 0.559391i | −0.923511 | − | 0.383571i | \(-0.874694\pi\) |
−0.332901 | + | 0.942962i | \(0.608027\pi\) | |||||||
\(920\) | 28.3686 | − | 6.02993i | 0.935285 | − | 0.198801i | ||||
\(921\) | 10.7210 | − | 24.0798i | 0.353269 | − | 0.793456i | ||||
\(922\) | −46.3911 | + | 33.7051i | −1.52781 | + | 1.11002i | ||||
\(923\) | −7.34411 | − | 16.6917i | −0.241734 | − | 0.549413i | ||||
\(924\) | 8.18806 | 0.269367 | ||||||||
\(925\) | 0.820199 | − | 0.473542i | 0.0269680 | − | 0.0155700i | ||||
\(926\) | −3.17164 | + | 30.1761i | −0.104227 | + | 0.991649i | ||||
\(927\) | 7.35830 | + | 1.56406i | 0.241678 | + | 0.0513703i | ||||
\(928\) | 22.3589 | + | 7.26485i | 0.733967 | + | 0.238480i | ||||
\(929\) | 3.23409 | + | 1.86720i | 0.106107 | + | 0.0612610i | 0.552114 | − | 0.833768i | \(-0.313821\pi\) |
−0.446007 | + | 0.895029i | \(0.647154\pi\) | |||||||
\(930\) | 25.0887 | − | 2.77828i | 0.822691 | − | 0.0911035i | ||||
\(931\) | − | 0.632689i | − | 0.0207355i | ||||||
\(932\) | −1.13993 | − | 1.26602i | −0.0373397 | − | 0.0414699i | ||||
\(933\) | −23.7090 | + | 26.3315i | −0.776197 | + | 0.862054i | ||||
\(934\) | −19.8826 | − | 2.08975i | −0.650579 | − | 0.0683786i | ||||
\(935\) | 42.6545 | 1.39495 | ||||||||
\(936\) | 10.3053 | + | 6.01016i | 0.336840 | + | 0.196448i | ||||
\(937\) | −24.9371 | − | 18.1179i | −0.814659 | − | 0.591885i | 0.100518 | − | 0.994935i | \(-0.467950\pi\) |
−0.915178 | + | 0.403050i | \(0.867950\pi\) | |||||||
\(938\) | −7.11056 | + | 15.9706i | −0.232168 | + | 0.521458i | ||||
\(939\) | −7.06263 | − | 3.14448i | −0.230480 | − | 0.102616i | ||||
\(940\) | 2.58606 | + | 2.87211i | 0.0843480 | + | 0.0936779i | ||||
\(941\) | 26.0745 | − | 35.8884i | 0.850003 | − | 1.16993i | −0.133859 | − | 0.991000i | \(-0.542737\pi\) |
0.983862 | − | 0.178928i | \(-0.0572630\pi\) | |||||||
\(942\) | 15.1723 | − | 13.6612i | 0.494339 | − | 0.445105i | ||||
\(943\) | −1.41697 | + | 6.66631i | −0.0461428 | + | 0.217085i | ||||
\(944\) | −32.0881 | − | 44.1655i | −1.04438 | − | 1.43747i | ||||
\(945\) | −46.1076 | − | 9.80048i | −1.49988 | − | 0.318810i | ||||
\(946\) | −34.8963 | + | 38.7563i | −1.13458 | + | 1.26008i | ||||
\(947\) | −6.64487 | + | 14.9246i | −0.215929 | + | 0.484985i | −0.988739 | − | 0.149653i | \(-0.952184\pi\) |
0.772809 | + | 0.634638i | \(0.218851\pi\) | |||||||
\(948\) | 1.22689 | + | 3.77598i | 0.0398475 | + | 0.122638i | ||||
\(949\) | 24.4356 | + | 8.05820i | 0.793214 | + | 0.261580i | ||||
\(950\) | −0.0156022 | − | 0.0113357i | −0.000506203 | − | 0.000367778i | ||||
\(951\) | 6.43015 | + | 30.2515i | 0.208512 | + | 0.980972i | ||||
\(952\) | −38.8896 | − | 17.3147i | −1.26042 | − | 0.561174i | ||||
\(953\) | 0.902953 | + | 8.59102i | 0.0292495 | + | 0.278291i | 0.999365 | + | 0.0356449i | \(0.0113485\pi\) |
−0.970115 | + | 0.242646i | \(0.921985\pi\) | |||||||
\(954\) | 9.33432 | − | 12.8476i | 0.302210 | − | 0.415956i | ||||
\(955\) | −16.0349 | − | 9.25776i | −0.518877 | − | 0.299574i | ||||
\(956\) | −1.07818 | − | 0.622485i | −0.0348707 | − | 0.0201326i | ||||
\(957\) | 30.4152 | − | 41.8630i | 0.983185 | − | 1.35324i | ||||
\(958\) | −49.0677 | − | 10.4297i | −1.58531 | − | 0.336967i | ||||
\(959\) | 72.3142 | − | 15.3709i | 2.33515 | − | 0.496351i | ||||
\(960\) | 14.2830 | − | 8.24630i | 0.460982 | − | 0.266148i | ||||
\(961\) | −9.25055 | + | 29.5876i | −0.298405 | + | 0.954439i | ||||
\(962\) | −19.9469 | + | 34.2019i | −0.643113 | + | 1.10271i | ||||
\(963\) | 3.55005 | − | 10.9259i | 0.114399 | − | 0.352083i | ||||
\(964\) | 0.240971 | + | 0.216971i | 0.00776116 | + | 0.00698818i | ||||
\(965\) | 3.79153 | − | 36.0740i | 0.122054 | − | 1.16126i | ||||
\(966\) | 19.4235 | − | 33.6424i | 0.624940 | − | 1.08243i | ||||
\(967\) | 15.5805i | 0.501034i | 0.968112 | + | 0.250517i | \(0.0806005\pi\) | ||||
−0.968112 | + | 0.250517i | \(0.919399\pi\) | |||||||
\(968\) | −5.30953 | − | 11.9254i | −0.170655 | − | 0.383297i | ||||
\(969\) | −0.549514 | + | 0.0577562i | −0.0176529 | + | 0.00185540i | ||||
\(970\) | 15.0093 | + | 20.6586i | 0.481921 | + | 0.663307i | ||||
\(971\) | −2.53025 | − | 2.81012i | −0.0811995 | − | 0.0901811i | 0.701176 | − | 0.712988i | \(-0.252659\pi\) |
−0.782375 | + | 0.622807i | \(0.785992\pi\) | |||||||
\(972\) | 0.563877 | − | 5.36494i | 0.0180864 | − | 0.172080i | ||||
\(973\) | 1.80605 | + | 8.49678i | 0.0578992 | + | 0.272394i | ||||
\(974\) | 5.18471 | + | 15.9569i | 0.166129 | + | 0.511292i | ||||
\(975\) | −0.567271 | − | 0.255550i | −0.0181672 | − | 0.00818417i | ||||
\(976\) | −11.1997 | − | 34.4692i | −0.358494 | − | 1.10333i | ||||
\(977\) | −14.4674 | − | 13.0265i | −0.462852 | − | 0.416754i | 0.404432 | − | 0.914568i | \(-0.367469\pi\) |
−0.867284 | + | 0.497814i | \(0.834136\pi\) | |||||||
\(978\) | 6.71058 | + | 2.98774i | 0.214581 | + | 0.0955375i | ||||
\(979\) | 56.2151 | + | 11.9489i | 1.79664 | + | 0.381888i | ||||
\(980\) | −6.26083 | − | 2.03427i | −0.199995 | − | 0.0649823i | ||||
\(981\) | −7.06820 | − | 15.8754i | −0.225670 | − | 0.506863i | ||||
\(982\) | −21.3936 | + | 19.2629i | −0.682697 | + | 0.614704i | ||||
\(983\) | 9.70204 | + | 13.3537i | 0.309447 | + | 0.425917i | 0.935209 | − | 0.354097i | \(-0.115212\pi\) |
−0.625762 | + | 0.780014i | \(0.715212\pi\) | |||||||
\(984\) | 0.430786 | + | 4.09866i | 0.0137330 | + | 0.130660i | ||||
\(985\) | −4.12965 | + | 39.2910i | −0.131582 | + | 1.25191i | ||||
\(986\) | 62.6170 | − | 36.1520i | 1.99413 | − | 1.15131i | ||||
\(987\) | −19.2612 | −0.613090 | ||||||||
\(988\) | 0.140094 | + | 0.0153457i | 0.00445699 | + | 0.000488211i | ||||
\(989\) | 13.3651 | + | 41.1336i | 0.424986 | + | 1.30797i | ||||
\(990\) | −3.99469 | − | 18.7936i | −0.126960 | − | 0.597298i | ||||
\(991\) | −24.4701 | − | 42.3835i | −0.777319 | − | 1.34636i | −0.933482 | − | 0.358625i | \(-0.883246\pi\) |
0.156162 | − | 0.987731i | \(-0.450088\pi\) | |||||||
\(992\) | −1.44552 | − | 13.0535i | −0.0458954 | − | 0.414449i | ||||
\(993\) | 12.2256i | 0.387968i | ||||||||
\(994\) | 21.7825 | − | 19.6130i | 0.690899 | − | 0.622088i | ||||
\(995\) | 2.36629 | − | 11.1325i | 0.0750163 | − | 0.352924i | ||||
\(996\) | −3.94130 | + | 5.42473i | −0.124885 | + | 0.171889i | ||||
\(997\) | −18.8192 | + | 32.5958i | −0.596009 | + | 1.03232i | 0.397395 | + | 0.917648i | \(0.369914\pi\) |
−0.993404 | + | 0.114670i | \(0.963419\pi\) | |||||||
\(998\) | −15.9589 | − | 27.6416i | −0.505169 | − | 0.874979i | ||||
\(999\) | −39.2028 | − | 4.12038i | −1.24032 | − | 0.130363i |
(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 | 403.2.bs.a.101.10 | yes | 288 | |
13.4 | even | 6 | inner | 403.2.bs.a.225.27 | yes | 288 | |
31.4 | even | 5 | inner | 403.2.bs.a.283.27 | yes | 288 | |
403.4 | even | 30 | inner | 403.2.bs.a.4.10 | ✓ | 288 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
403.2.bs.a.4.10 | ✓ | 288 | 403.4 | even | 30 | inner | |
403.2.bs.a.101.10 | yes | 288 | 1.1 | even | 1 | trivial | |
403.2.bs.a.225.27 | yes | 288 | 13.4 | even | 6 | inner | |
403.2.bs.a.283.27 | yes | 288 | 31.4 | even | 5 | inner |