Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [429,2,Mod(7,429)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(429, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([0, 42, 55]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("429.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 429 = 3 \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 429.bs (of order \(60\), degree \(16\), 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: | \(3.42558224671\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 7.1 | ||
Character | \(\chi\) | \(=\) | 429.7 |
Dual form | 429.2.bs.b.184.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/429\mathbb{Z}\right)^\times\).
\(n\) | \(67\) | \(79\) | \(287\) |
\(\chi(n)\) | \(e\left(\frac{11}{12}\right)\) | \(e\left(\frac{7}{10}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.987158 | + | 2.57163i | −0.698026 | + | 1.81842i | −0.137093 | + | 0.990558i | \(0.543776\pi\) |
−0.560933 | + | 0.827861i | \(0.689557\pi\) | |||||||
\(3\) | 0.669131 | + | 0.743145i | 0.386323 | + | 0.429055i | ||||
\(4\) | −4.15253 | − | 3.73895i | −2.07626 | − | 1.86948i | ||||
\(5\) | 3.32910 | + | 0.527277i | 1.48882 | + | 0.235805i | 0.847222 | − | 0.531238i | \(-0.178273\pi\) |
0.641595 | + | 0.767044i | \(0.278273\pi\) | |||||||
\(6\) | −2.57163 | + | 0.987158i | −1.04986 | + | 0.403005i | ||||
\(7\) | 0.866370 | − | 0.0454045i | 0.327457 | − | 0.0171613i | 0.112101 | − | 0.993697i | \(-0.464242\pi\) |
0.215356 | + | 0.976536i | \(0.430909\pi\) | |||||||
\(8\) | 8.80570 | − | 4.48673i | 3.11329 | − | 1.58630i | ||||
\(9\) | −0.104528 | + | 0.994522i | −0.0348428 | + | 0.331507i | ||||
\(10\) | −4.64231 | + | 8.04071i | −1.46803 | + | 2.54270i | ||||
\(11\) | 3.17002 | − | 0.975188i | 0.955796 | − | 0.294030i | ||||
\(12\) | − | 5.58778i | − | 1.61305i | ||||||
\(13\) | 2.91960 | − | 2.11564i | 0.809752 | − | 0.586772i | ||||
\(14\) | −0.738480 | + | 2.27281i | −0.197367 | + | 0.607433i | ||||
\(15\) | 1.83576 | + | 2.82682i | 0.473990 | + | 0.729881i | ||||
\(16\) | 1.67744 | + | 15.9598i | 0.419361 | + | 3.98995i | ||||
\(17\) | 2.40967 | + | 1.07285i | 0.584430 | + | 0.260205i | 0.677583 | − | 0.735447i | \(-0.263028\pi\) |
−0.0931522 | + | 0.995652i | \(0.529694\pi\) | |||||||
\(18\) | −2.45436 | − | 1.25056i | −0.578498 | − | 0.294760i | ||||
\(19\) | −1.34373 | + | 2.06916i | −0.308272 | + | 0.474697i | −0.958520 | − | 0.285024i | \(-0.907998\pi\) |
0.650248 | + | 0.759722i | \(0.274665\pi\) | |||||||
\(20\) | −11.8527 | − | 14.6369i | −2.65035 | − | 3.27290i | ||||
\(21\) | 0.613457 | + | 0.613457i | 0.133867 | + | 0.133867i | ||||
\(22\) | −0.621479 | + | 9.11479i | −0.132500 | + | 1.94328i | ||||
\(23\) | −6.49497 | − | 3.74987i | −1.35430 | − | 0.781903i | −0.365448 | − | 0.930832i | \(-0.619084\pi\) |
−0.988848 | + | 0.148929i | \(0.952417\pi\) | |||||||
\(24\) | 9.22645 | + | 3.54170i | 1.88334 | + | 0.722947i | ||||
\(25\) | 6.04958 | + | 1.96563i | 1.20992 | + | 0.393125i | ||||
\(26\) | 2.55853 | + | 9.59662i | 0.501769 | + | 1.88205i | ||||
\(27\) | −0.809017 | + | 0.587785i | −0.155695 | + | 0.113119i | ||||
\(28\) | −3.76739 | − | 3.05077i | −0.711970 | − | 0.576542i | ||||
\(29\) | −0.724691 | + | 3.40940i | −0.134572 | + | 0.633110i | 0.858223 | + | 0.513278i | \(0.171569\pi\) |
−0.992794 | + | 0.119832i | \(0.961764\pi\) | |||||||
\(30\) | −9.08172 | + | 1.93038i | −1.65809 | + | 0.352437i | ||||
\(31\) | −1.12211 | − | 7.08471i | −0.201537 | − | 1.27245i | −0.856245 | − | 0.516570i | \(-0.827209\pi\) |
0.654708 | − | 0.755882i | \(-0.272791\pi\) | |||||||
\(32\) | −23.6064 | − | 6.32533i | −4.17307 | − | 1.11817i | ||||
\(33\) | 2.84586 | + | 1.70325i | 0.495401 | + | 0.296498i | ||||
\(34\) | −5.13771 | + | 5.13771i | −0.881110 | + | 0.881110i | ||||
\(35\) | 2.90817 | + | 0.305661i | 0.491570 | + | 0.0516661i | ||||
\(36\) | 4.15253 | − | 3.73895i | 0.692088 | − | 0.623159i | ||||
\(37\) | −6.88746 | + | 4.47277i | −1.13229 | + | 0.735319i | −0.967964 | − | 0.251087i | \(-0.919212\pi\) |
−0.164327 | + | 0.986406i | \(0.552545\pi\) | |||||||
\(38\) | −3.99465 | − | 5.49816i | −0.648017 | − | 0.891919i | ||||
\(39\) | 3.52582 | + | 0.754052i | 0.564583 | + | 0.120745i | ||||
\(40\) | 31.6808 | − | 10.2937i | 5.00917 | − | 1.62758i | ||||
\(41\) | 4.40111 | + | 0.230653i | 0.687339 | + | 0.0360219i | 0.392808 | − | 0.919620i | \(-0.371504\pi\) |
0.294530 | + | 0.955642i | \(0.404837\pi\) | |||||||
\(42\) | −2.18316 | + | 0.972007i | −0.336870 | + | 0.149984i | ||||
\(43\) | 1.17325 | + | 2.03212i | 0.178919 | + | 0.309896i | 0.941510 | − | 0.336984i | \(-0.109407\pi\) |
−0.762592 | + | 0.646880i | \(0.776073\pi\) | |||||||
\(44\) | −16.8098 | − | 7.80305i | −2.53417 | − | 1.17635i | ||||
\(45\) | −0.872374 | + | 3.25574i | −0.130046 | + | 0.485338i | ||||
\(46\) | 16.0549 | − | 13.0010i | 2.36716 | − | 1.91689i | ||||
\(47\) | −2.47555 | − | 4.85854i | −0.361096 | − | 0.708692i | 0.636967 | − | 0.770891i | \(-0.280189\pi\) |
−0.998064 | + | 0.0621992i | \(0.980189\pi\) | |||||||
\(48\) | −10.7380 | + | 11.9258i | −1.54990 | + | 1.72134i | ||||
\(49\) | −6.21312 | + | 0.653025i | −0.887588 | + | 0.0932893i | ||||
\(50\) | −11.0268 | + | 13.6169i | −1.55942 | + | 1.92572i | ||||
\(51\) | 0.815097 | + | 2.50861i | 0.114136 | + | 0.351276i | ||||
\(52\) | −20.0340 | − | 2.13103i | −2.77822 | − | 0.295520i | ||||
\(53\) | −5.69442 | − | 4.13724i | −0.782189 | − | 0.568293i | 0.123446 | − | 0.992351i | \(-0.460605\pi\) |
−0.905635 | + | 0.424058i | \(0.860605\pi\) | |||||||
\(54\) | −0.712941 | − | 2.66073i | −0.0970190 | − | 0.362080i | ||||
\(55\) | 11.0675 | − | 1.57502i | 1.49234 | − | 0.212375i | ||||
\(56\) | 7.42528 | − | 4.28699i | 0.992244 | − | 0.572872i | ||||
\(57\) | −2.43681 | + | 0.385953i | −0.322764 | + | 0.0511208i | ||||
\(58\) | −8.05235 | − | 5.22925i | −1.05732 | − | 0.686635i | ||||
\(59\) | −0.608853 | − | 11.6176i | −0.0792659 | − | 1.51248i | −0.691829 | − | 0.722061i | \(-0.743195\pi\) |
0.612563 | − | 0.790422i | \(-0.290139\pi\) | |||||||
\(60\) | 2.94631 | − | 18.6023i | 0.380367 | − | 2.40154i | ||||
\(61\) | 0.0205061 | − | 0.0460574i | 0.00262554 | − | 0.00589705i | −0.912228 | − | 0.409683i | \(-0.865639\pi\) |
0.914853 | + | 0.403786i | \(0.132306\pi\) | |||||||
\(62\) | 19.3270 | + | 4.10808i | 2.45453 | + | 0.521726i | ||||
\(63\) | −0.0454045 | + | 0.866370i | −0.00572043 | + | 0.109152i | ||||
\(64\) | 20.7045 | − | 28.4973i | 2.58806 | − | 3.56216i | ||||
\(65\) | 10.8352 | − | 5.50371i | 1.34394 | − | 0.682652i | ||||
\(66\) | −7.18946 | + | 5.63713i | −0.884961 | + | 0.693883i | ||||
\(67\) | −3.58834 | + | 0.961492i | −0.438385 | + | 0.117465i | −0.471260 | − | 0.881995i | \(-0.656200\pi\) |
0.0328745 | + | 0.999459i | \(0.489534\pi\) | |||||||
\(68\) | −5.99487 | − | 13.4647i | −0.726985 | − | 1.63283i | ||||
\(69\) | −1.55929 | − | 7.33586i | −0.187716 | − | 0.883134i | ||||
\(70\) | −3.65687 | + | 7.17701i | −0.437080 | + | 0.857817i | ||||
\(71\) | 3.95699 | + | 10.3083i | 0.469608 | + | 1.22337i | 0.940079 | + | 0.340956i | \(0.110751\pi\) |
−0.470471 | + | 0.882415i | \(0.655916\pi\) | |||||||
\(72\) | 3.54170 | + | 9.22645i | 0.417394 | + | 1.08735i | ||||
\(73\) | −4.75537 | + | 9.33293i | −0.556574 | + | 1.09234i | 0.425697 | + | 0.904866i | \(0.360029\pi\) |
−0.982270 | + | 0.187471i | \(0.939971\pi\) | |||||||
\(74\) | −4.70331 | − | 22.1274i | −0.546749 | − | 2.57225i | ||||
\(75\) | 2.58721 | + | 5.81097i | 0.298746 | + | 0.670993i | ||||
\(76\) | 13.3164 | − | 3.56811i | 1.52749 | − | 0.409290i | ||||
\(77\) | 2.70213 | − | 0.988807i | 0.307936 | − | 0.112685i | ||||
\(78\) | −5.41969 | + | 8.32275i | −0.613659 | + | 0.942366i | ||||
\(79\) | −5.71210 | + | 7.86203i | −0.642661 | + | 0.884547i | −0.998754 | − | 0.0499033i | \(-0.984109\pi\) |
0.356093 | + | 0.934451i | \(0.384109\pi\) | |||||||
\(80\) | −2.83087 | + | 54.0162i | −0.316501 | + | 6.03920i | ||||
\(81\) | −0.978148 | − | 0.207912i | −0.108683 | − | 0.0231013i | ||||
\(82\) | −4.93775 | + | 11.0904i | −0.545283 | + | 1.22473i | ||||
\(83\) | −1.32209 | + | 8.34732i | −0.145118 | + | 0.916237i | 0.802459 | + | 0.596708i | \(0.203525\pi\) |
−0.947576 | + | 0.319530i | \(0.896475\pi\) | |||||||
\(84\) | −0.253710 | − | 4.84108i | −0.0276821 | − | 0.528206i | ||||
\(85\) | 7.45633 | + | 4.84220i | 0.808752 | + | 0.525210i | ||||
\(86\) | −6.38406 | + | 1.01114i | −0.688411 | + | 0.109034i | ||||
\(87\) | −3.01859 | + | 1.74278i | −0.323627 | + | 0.186846i | ||||
\(88\) | 23.5388 | − | 22.8102i | 2.50925 | − | 2.43158i | ||||
\(89\) | 2.60960 | + | 9.73916i | 0.276617 | + | 1.03235i | 0.954750 | + | 0.297410i | \(0.0961228\pi\) |
−0.678133 | + | 0.734939i | \(0.737211\pi\) | |||||||
\(90\) | −7.51141 | − | 5.45736i | −0.791772 | − | 0.575256i | ||||
\(91\) | 2.43340 | − | 1.96549i | 0.255089 | − | 0.206039i | ||||
\(92\) | 12.9500 | + | 39.8559i | 1.35013 | + | 4.15526i | ||||
\(93\) | 4.51413 | − | 5.57449i | 0.468093 | − | 0.578047i | ||||
\(94\) | 14.9382 | − | 1.57006i | 1.54075 | − | 0.161940i | ||||
\(95\) | −5.56442 | + | 6.17991i | −0.570897 | + | 0.634045i | ||||
\(96\) | −11.0952 | − | 21.7755i | −1.13239 | − | 2.22245i | ||||
\(97\) | −4.27048 | + | 3.45817i | −0.433602 | + | 0.351124i | −0.821137 | − | 0.570731i | \(-0.806660\pi\) |
0.387535 | + | 0.921855i | \(0.373327\pi\) | |||||||
\(98\) | 4.45399 | − | 16.6225i | 0.449921 | − | 1.67913i | ||||
\(99\) | 0.638489 | + | 3.25459i | 0.0641706 | + | 0.327098i | ||||
\(100\) | −17.7717 | − | 30.7814i | −1.77717 | − | 3.07814i | ||||
\(101\) | −0.857567 | + | 0.381814i | −0.0853311 | + | 0.0379919i | −0.448958 | − | 0.893553i | \(-0.648205\pi\) |
0.363627 | + | 0.931545i | \(0.381538\pi\) | |||||||
\(102\) | −7.25586 | − | 0.380263i | −0.718437 | − | 0.0376517i | ||||
\(103\) | 0.702894 | − | 0.228384i | 0.0692582 | − | 0.0225034i | −0.274183 | − | 0.961678i | \(-0.588407\pi\) |
0.343441 | + | 0.939174i | \(0.388407\pi\) | |||||||
\(104\) | 16.2169 | − | 31.7291i | 1.59020 | − | 3.11130i | ||||
\(105\) | 1.71879 | + | 2.36572i | 0.167737 | + | 0.230870i | ||||
\(106\) | 16.2607 | − | 10.5599i | 1.57938 | − | 1.02566i | ||||
\(107\) | 4.19049 | − | 3.77313i | 0.405110 | − | 0.364762i | −0.441241 | − | 0.897389i | \(-0.645462\pi\) |
0.846351 | + | 0.532626i | \(0.178795\pi\) | |||||||
\(108\) | 5.55717 | + | 0.584082i | 0.534739 | + | 0.0562033i | ||||
\(109\) | −1.89038 | + | 1.89038i | −0.181065 | + | 0.181065i | −0.791820 | − | 0.610755i | \(-0.790866\pi\) |
0.610755 | + | 0.791820i | \(0.290866\pi\) | |||||||
\(110\) | −6.87498 | + | 30.0163i | −0.655504 | + | 2.86194i | ||||
\(111\) | −7.93253 | − | 2.12551i | −0.752922 | − | 0.201745i | ||||
\(112\) | 2.17793 | + | 13.7509i | 0.205795 | + | 1.29934i | ||||
\(113\) | 5.36717 | − | 1.14083i | 0.504901 | − | 0.107320i | 0.0515826 | − | 0.998669i | \(-0.483573\pi\) |
0.453318 | + | 0.891349i | \(0.350240\pi\) | |||||||
\(114\) | 1.41299 | − | 6.64759i | 0.132338 | − | 0.622604i | ||||
\(115\) | −19.6452 | − | 15.9083i | −1.83192 | − | 1.48346i | ||||
\(116\) | 15.7569 | − | 11.4481i | 1.46299 | − | 1.06292i | ||||
\(117\) | 1.79886 | + | 3.12475i | 0.166305 | + | 0.288884i | ||||
\(118\) | 30.4773 | + | 9.90266i | 2.80566 | + | 0.911614i | ||||
\(119\) | 2.13638 | + | 0.820078i | 0.195841 | + | 0.0751764i | ||||
\(120\) | 28.8483 | + | 16.6556i | 2.63348 | + | 1.52044i | ||||
\(121\) | 9.09802 | − | 6.18273i | 0.827092 | − | 0.562066i | ||||
\(122\) | 0.0982001 | + | 0.0982001i | 0.00889062 | + | 0.00889062i | ||||
\(123\) | 2.77351 | + | 3.42500i | 0.250079 | + | 0.308822i | ||||
\(124\) | −21.8298 | + | 33.6150i | −1.96038 | + | 3.01871i | ||||
\(125\) | 4.08709 | + | 2.08248i | 0.365561 | + | 0.186262i | ||||
\(126\) | −2.18316 | − | 0.972007i | −0.194492 | − | 0.0865933i | ||||
\(127\) | −0.0192844 | − | 0.183479i | −0.00171121 | − | 0.0162811i | 0.993633 | − | 0.112666i | \(-0.0359389\pi\) |
−0.995344 | + | 0.0963844i | \(0.969272\pi\) | |||||||
\(128\) | 26.2249 | + | 40.3827i | 2.31797 | + | 3.56936i | ||||
\(129\) | −0.725107 | + | 2.23165i | −0.0638421 | + | 0.196486i | ||||
\(130\) | 3.45752 | + | 33.2971i | 0.303244 | + | 2.92035i | ||||
\(131\) | − | 15.8970i | − | 1.38893i | −0.719526 | − | 0.694465i | \(-0.755641\pi\) | ||
0.719526 | − | 0.694465i | \(-0.244359\pi\) | |||||||
\(132\) | −5.44914 | − | 17.7134i | −0.474286 | − | 1.54175i | ||||
\(133\) | −1.07022 | + | 1.85367i | −0.0927995 | + | 0.160733i | ||||
\(134\) | 1.06965 | − | 10.1770i | 0.0924036 | − | 0.879162i | ||||
\(135\) | −3.00322 | + | 1.53022i | −0.258476 | + | 0.131700i | ||||
\(136\) | 26.0324 | − | 1.36430i | 2.23226 | − | 0.116988i | ||||
\(137\) | 7.25027 | − | 2.78312i | 0.619432 | − | 0.237778i | −0.0283563 | − | 0.999598i | \(-0.509027\pi\) |
0.647789 | + | 0.761820i | \(0.275694\pi\) | |||||||
\(138\) | 20.4044 | + | 3.23174i | 1.73694 | + | 0.275104i | ||||
\(139\) | −1.00758 | − | 0.907233i | −0.0854622 | − | 0.0769505i | 0.625292 | − | 0.780391i | \(-0.284980\pi\) |
−0.710755 | + | 0.703440i | \(0.751646\pi\) | |||||||
\(140\) | −10.9334 | − | 12.1428i | −0.924041 | − | 1.02625i | ||||
\(141\) | 1.95413 | − | 5.09069i | 0.164568 | − | 0.428714i | ||||
\(142\) | −30.4154 | −2.55240 | ||||||||
\(143\) | 7.19205 | − | 9.55376i | 0.601429 | − | 0.798926i | ||||
\(144\) | −16.0477 | −1.33731 | ||||||||
\(145\) | −4.21026 | + | 10.9681i | −0.349643 | + | 0.910852i | ||||
\(146\) | −19.3066 | − | 21.4421i | −1.59782 | − | 1.77456i | ||||
\(147\) | −4.64268 | − | 4.18029i | −0.382922 | − | 0.344784i | ||||
\(148\) | 45.3239 | + | 7.17859i | 3.72560 | + | 0.590077i | ||||
\(149\) | 16.5671 | − | 6.35953i | 1.35723 | − | 0.520993i | 0.432508 | − | 0.901630i | \(-0.357629\pi\) |
0.924724 | + | 0.380637i | \(0.124295\pi\) | |||||||
\(150\) | −17.4977 | + | 0.917015i | −1.42868 | + | 0.0748739i | ||||
\(151\) | −9.98767 | + | 5.08897i | −0.812785 | + | 0.414135i | −0.810411 | − | 0.585862i | \(-0.800756\pi\) |
−0.00237466 | + | 0.999997i | \(0.500756\pi\) | |||||||
\(152\) | −2.54871 | + | 24.2493i | −0.206727 | + | 1.96688i | ||||
\(153\) | −1.31886 | + | 2.28432i | −0.106623 | + | 0.184677i | ||||
\(154\) | −0.124579 | + | 7.92499i | −0.0100388 | + | 0.638614i | ||||
\(155\) | − | 24.1773i | − | 1.94197i | ||||||
\(156\) | −11.8217 | − | 16.3141i | −0.946494 | − | 1.30617i | ||||
\(157\) | −1.54901 | + | 4.76735i | −0.123624 | + | 0.380476i | −0.993648 | − | 0.112534i | \(-0.964103\pi\) |
0.870024 | + | 0.493010i | \(0.164103\pi\) | |||||||
\(158\) | −14.5795 | − | 22.4505i | −1.15988 | − | 1.78606i | ||||
\(159\) | −0.735743 | − | 7.00013i | −0.0583482 | − | 0.555146i | ||||
\(160\) | −75.2529 | − | 33.5047i | −5.94926 | − | 2.64878i | ||||
\(161\) | −5.79731 | − | 2.95388i | −0.456892 | − | 0.232798i | ||||
\(162\) | 1.50026 | − | 2.31020i | 0.117871 | − | 0.181506i | ||||
\(163\) | −3.67724 | − | 4.54102i | −0.288024 | − | 0.355680i | 0.612512 | − | 0.790461i | \(-0.290159\pi\) |
−0.900536 | + | 0.434781i | \(0.856826\pi\) | |||||||
\(164\) | −17.4134 | − | 17.4134i | −1.35975 | − | 1.35975i | ||||
\(165\) | 8.57606 | + | 7.17085i | 0.667645 | + | 0.558250i | ||||
\(166\) | −20.1611 | − | 11.6400i | −1.56481 | − | 0.903442i | ||||
\(167\) | −16.8977 | − | 6.48641i | −1.30758 | − | 0.501933i | −0.397971 | − | 0.917398i | \(-0.630286\pi\) |
−0.909609 | + | 0.415465i | \(0.863619\pi\) | |||||||
\(168\) | 8.15433 | + | 2.64950i | 0.629120 | + | 0.204414i | ||||
\(169\) | 4.04817 | − | 12.3536i | 0.311398 | − | 0.950280i | ||||
\(170\) | −19.8129 | + | 14.3949i | −1.51958 | + | 1.10404i | ||||
\(171\) | −1.91737 | − | 1.55265i | −0.146625 | − | 0.118734i | ||||
\(172\) | 2.72607 | − | 12.8252i | 0.207861 | − | 0.977910i | ||||
\(173\) | 7.00243 | − | 1.48841i | 0.532385 | − | 0.113162i | 0.0661276 | − | 0.997811i | \(-0.478936\pi\) |
0.466257 | + | 0.884649i | \(0.345602\pi\) | |||||||
\(174\) | −1.50198 | − | 9.48311i | −0.113865 | − | 0.718913i | ||||
\(175\) | 5.33042 | + | 1.42828i | 0.402942 | + | 0.107968i | ||||
\(176\) | 20.8813 | + | 48.9570i | 1.57399 | + | 3.69028i | ||||
\(177\) | 8.22616 | − | 8.22616i | 0.618316 | − | 0.618316i | ||||
\(178\) | −27.6216 | − | 2.90315i | −2.07033 | − | 0.217600i | ||||
\(179\) | 12.6138 | − | 11.3575i | 0.942801 | − | 0.848901i | −0.0458785 | − | 0.998947i | \(-0.514609\pi\) |
0.988679 | + | 0.150046i | \(0.0479420\pi\) | |||||||
\(180\) | 15.7956 | − | 10.2578i | 1.17734 | − | 0.764572i | ||||
\(181\) | −7.81247 | − | 10.7529i | −0.580696 | − | 0.799260i | 0.413075 | − | 0.910697i | \(-0.364455\pi\) |
−0.993772 | + | 0.111437i | \(0.964455\pi\) | |||||||
\(182\) | 2.65236 | + | 8.19805i | 0.196606 | + | 0.607680i | ||||
\(183\) | 0.0479486 | − | 0.0155794i | 0.00354446 | − | 0.00115167i | ||||
\(184\) | −74.0175 | − | 3.87909i | −5.45664 | − | 0.285970i | ||||
\(185\) | −25.2874 | + | 11.2587i | −1.85917 | + | 0.827754i | ||||
\(186\) | 9.87938 | + | 17.1116i | 0.724391 | + | 1.25468i | ||||
\(187\) | 8.68492 | + | 1.05108i | 0.635105 | + | 0.0768628i | ||||
\(188\) | −7.88607 | + | 29.4312i | −0.575151 | + | 2.14649i | ||||
\(189\) | −0.674220 | + | 0.545972i | −0.0490423 | + | 0.0397137i | ||||
\(190\) | −10.3995 | − | 20.4102i | −0.754460 | − | 1.48071i | ||||
\(191\) | −11.1269 | + | 12.3576i | −0.805112 | + | 0.894167i | −0.996172 | − | 0.0874110i | \(-0.972141\pi\) |
0.191061 | + | 0.981578i | \(0.438807\pi\) | |||||||
\(192\) | 35.0316 | − | 3.68197i | 2.52819 | − | 0.265723i | ||||
\(193\) | −3.31862 | + | 4.09815i | −0.238879 | + | 0.294991i | −0.882460 | − | 0.470387i | \(-0.844114\pi\) |
0.643581 | + | 0.765378i | \(0.277448\pi\) | |||||||
\(194\) | −4.67750 | − | 14.3959i | −0.335825 | − | 1.03356i | ||||
\(195\) | 11.3402 | + | 4.36940i | 0.812089 | + | 0.312899i | ||||
\(196\) | 28.2418 | + | 20.5189i | 2.01727 | + | 1.46563i | ||||
\(197\) | −0.925286 | − | 3.45322i | −0.0659239 | − | 0.246031i | 0.925098 | − | 0.379727i | \(-0.123982\pi\) |
−0.991022 | + | 0.133696i | \(0.957315\pi\) | |||||||
\(198\) | −8.99989 | − | 1.57083i | −0.639595 | − | 0.111634i | ||||
\(199\) | 7.90191 | − | 4.56217i | 0.560151 | − | 0.323404i | −0.193055 | − | 0.981188i | \(-0.561840\pi\) |
0.753206 | + | 0.657784i | \(0.228506\pi\) | |||||||
\(200\) | 62.0900 | − | 9.83409i | 4.39043 | − | 0.695375i | ||||
\(201\) | −3.11559 | − | 2.02329i | −0.219757 | − | 0.142712i | ||||
\(202\) | −0.135330 | − | 2.58226i | −0.00952182 | − | 0.181687i | ||||
\(203\) | −0.473048 | + | 2.98671i | −0.0332015 | + | 0.209626i | ||||
\(204\) | 5.99487 | − | 13.4647i | 0.419725 | − | 0.942717i | ||||
\(205\) | 14.5301 | + | 3.08847i | 1.01483 | + | 0.215708i | ||||
\(206\) | −0.106547 | + | 2.03304i | −0.00742348 | + | 0.141648i | ||||
\(207\) | 4.40824 | − | 6.06742i | 0.306394 | − | 0.421715i | ||||
\(208\) | 38.6626 | + | 43.0475i | 2.68077 | + | 2.98480i | ||||
\(209\) | −2.24182 | + | 7.86965i | −0.155070 | + | 0.544355i | ||||
\(210\) | −7.78048 | + | 2.08477i | −0.536904 | + | 0.143863i | ||||
\(211\) | −3.56301 | − | 8.00266i | −0.245288 | − | 0.550926i | 0.748382 | − | 0.663269i | \(-0.230831\pi\) |
−0.993670 | + | 0.112343i | \(0.964165\pi\) | |||||||
\(212\) | 8.17730 | + | 38.4712i | 0.561619 | + | 2.64221i | ||||
\(213\) | −5.01282 | + | 9.83822i | −0.343473 | + | 0.674104i | ||||
\(214\) | 5.56644 | + | 14.5011i | 0.380514 | + | 0.991273i | ||||
\(215\) | 2.83436 | + | 7.38376i | 0.193302 | + | 0.503568i | ||||
\(216\) | −4.48673 | + | 8.80570i | −0.305283 | + | 0.599152i | ||||
\(217\) | −1.29384 | − | 6.08703i | −0.0878315 | − | 0.413215i | ||||
\(218\) | −2.99525 | − | 6.72745i | −0.202864 | − | 0.455640i | ||||
\(219\) | −10.1177 | + | 2.71102i | −0.683690 | + | 0.183194i | ||||
\(220\) | −51.8470 | − | 34.8405i | −3.49552 | − | 2.34895i | ||||
\(221\) | 9.30504 | − | 1.96567i | 0.625925 | − | 0.132225i | ||||
\(222\) | 13.2967 | − | 18.3013i | 0.892416 | − | 1.22830i | ||||
\(223\) | −0.0742148 | + | 1.41610i | −0.00496979 | + | 0.0948293i | −0.999988 | − | 0.00486229i | \(-0.998452\pi\) |
0.995018 | + | 0.0996916i | \(0.0317856\pi\) | |||||||
\(224\) | −20.7391 | − | 4.40823i | −1.38569 | − | 0.294537i | ||||
\(225\) | −2.58721 | + | 5.81097i | −0.172481 | + | 0.387398i | ||||
\(226\) | −2.36445 | + | 14.9286i | −0.157281 | + | 0.993034i | ||||
\(227\) | −1.00053 | − | 19.0913i | −0.0664077 | − | 1.26713i | −0.805119 | − | 0.593113i | \(-0.797899\pi\) |
0.738711 | − | 0.674022i | \(-0.235435\pi\) | |||||||
\(228\) | 11.5620 | + | 7.50845i | 0.765712 | + | 0.497259i | ||||
\(229\) | 0.453052 | − | 0.0717564i | 0.0299385 | − | 0.00474179i | −0.141447 | − | 0.989946i | \(-0.545176\pi\) |
0.171386 | + | 0.985204i | \(0.445176\pi\) | |||||||
\(230\) | 60.3033 | − | 34.8161i | 3.97628 | − | 2.29571i | ||||
\(231\) | 2.54290 | + | 1.34643i | 0.167311 | + | 0.0885888i | ||||
\(232\) | 8.91565 | + | 33.2737i | 0.585341 | + | 2.18452i | ||||
\(233\) | 20.9456 | + | 15.2179i | 1.37219 | + | 0.996957i | 0.997562 | + | 0.0697826i | \(0.0222306\pi\) |
0.374631 | + | 0.927174i | \(0.377769\pi\) | |||||||
\(234\) | −9.81148 | + | 1.54139i | −0.641397 | + | 0.100764i | ||||
\(235\) | −5.67955 | − | 17.4799i | −0.370493 | − | 1.14026i | ||||
\(236\) | −40.9094 | + | 50.5189i | −2.66298 | + | 3.28850i | ||||
\(237\) | −9.66477 | + | 1.01581i | −0.627794 | + | 0.0659838i | ||||
\(238\) | −4.21788 | + | 4.68443i | −0.273405 | + | 0.303647i | ||||
\(239\) | 3.06564 | + | 6.01665i | 0.198299 | + | 0.389185i | 0.968648 | − | 0.248439i | \(-0.0799175\pi\) |
−0.770348 | + | 0.637624i | \(0.779918\pi\) | |||||||
\(240\) | −42.0361 | + | 34.0402i | −2.71342 | + | 2.19728i | ||||
\(241\) | 6.37789 | − | 23.8026i | 0.410836 | − | 1.53326i | −0.382196 | − | 0.924081i | \(-0.624832\pi\) |
0.793032 | − | 0.609180i | \(-0.208501\pi\) | |||||||
\(242\) | 6.91853 | + | 29.5001i | 0.444740 | + | 1.89634i | ||||
\(243\) | −0.500000 | − | 0.866025i | −0.0320750 | − | 0.0555556i | ||||
\(244\) | −0.257359 | + | 0.114584i | −0.0164757 | + | 0.00733546i | ||||
\(245\) | −21.0284 | − | 1.10205i | −1.34345 | − | 0.0704075i | ||||
\(246\) | −11.5457 | + | 3.75144i | −0.736130 | + | 0.239183i | ||||
\(247\) | 0.454434 | + | 8.88396i | 0.0289149 | + | 0.565273i | ||||
\(248\) | −41.6681 | − | 57.3512i | −2.64593 | − | 3.64181i | ||||
\(249\) | −7.08792 | + | 4.60295i | −0.449178 | + | 0.291700i | ||||
\(250\) | −9.38997 | + | 8.45477i | −0.593874 | + | 0.534726i | ||||
\(251\) | 11.5685 | + | 1.21590i | 0.730196 | + | 0.0767467i | 0.462328 | − | 0.886709i | \(-0.347014\pi\) |
0.267868 | + | 0.963456i | \(0.413681\pi\) | |||||||
\(252\) | 3.42786 | − | 3.42786i | 0.215935 | − | 0.215935i | ||||
\(253\) | −24.2460 | − | 5.55334i | −1.52433 | − | 0.349136i | ||||
\(254\) | 0.490877 | + | 0.131530i | 0.0308003 | + | 0.00825293i | ||||
\(255\) | 1.39080 | + | 8.78119i | 0.0870955 | + | 0.549900i | ||||
\(256\) | −60.8281 | + | 12.9294i | −3.80176 | + | 0.808088i | ||||
\(257\) | −2.33654 | + | 10.9925i | −0.145749 | + | 0.685696i | 0.843219 | + | 0.537570i | \(0.180658\pi\) |
−0.988968 | + | 0.148126i | \(0.952676\pi\) | |||||||
\(258\) | −5.02319 | − | 4.06770i | −0.312730 | − | 0.253244i | ||||
\(259\) | −5.76400 | + | 4.18779i | −0.358158 | + | 0.260217i | ||||
\(260\) | −65.5715 | − | 17.6579i | −4.06657 | − | 1.09509i | ||||
\(261\) | −3.31497 | − | 1.07710i | −0.205192 | − | 0.0666708i | ||||
\(262\) | 40.8814 | + | 15.6929i | 2.52566 | + | 0.969509i | ||||
\(263\) | 5.43717 | + | 3.13915i | 0.335270 | + | 0.193568i | 0.658179 | − | 0.752862i | \(-0.271327\pi\) |
−0.322908 | + | 0.946430i | \(0.604661\pi\) | |||||||
\(264\) | 32.7018 | + | 2.22973i | 2.01266 | + | 0.137230i | ||||
\(265\) | −16.7758 | − | 16.7758i | −1.03053 | − | 1.03053i | ||||
\(266\) | −3.71048 | − | 4.58206i | −0.227504 | − | 0.280944i | ||||
\(267\) | −5.49144 | + | 8.45608i | −0.336071 | + | 0.517504i | ||||
\(268\) | 18.4956 | + | 9.42400i | 1.12980 | + | 0.575663i | ||||
\(269\) | 19.1364 | + | 8.52006i | 1.16677 | + | 0.519477i | 0.896385 | − | 0.443276i | \(-0.146184\pi\) |
0.270380 | + | 0.962754i | \(0.412851\pi\) | |||||||
\(270\) | −0.970506 | − | 9.23375i | −0.0590631 | − | 0.561948i | ||||
\(271\) | −7.41511 | − | 11.4183i | −0.450436 | − | 0.693610i | 0.538388 | − | 0.842697i | \(-0.319033\pi\) |
−0.988824 | + | 0.149087i | \(0.952367\pi\) | |||||||
\(272\) | −13.0805 | + | 40.2575i | −0.793119 | + | 2.44097i | ||||
\(273\) | 3.08890 | + | 0.493200i | 0.186949 | + | 0.0298498i | ||||
\(274\) | 21.3924i | 1.29236i | ||||||||
\(275\) | 21.0941 | + | 0.331593i | 1.27202 | + | 0.0199958i | ||||
\(276\) | −20.9535 | + | 36.2925i | −1.26125 | + | 2.18455i | ||||
\(277\) | −2.43507 | + | 23.1681i | −0.146309 | + | 1.39204i | 0.637220 | + | 0.770682i | \(0.280084\pi\) |
−0.783529 | + | 0.621355i | \(0.786583\pi\) | |||||||
\(278\) | 3.32771 | − | 1.69556i | 0.199583 | − | 0.101693i | ||||
\(279\) | 7.16319 | − | 0.375407i | 0.428849 | − | 0.0224750i | ||||
\(280\) | 26.9799 | − | 10.3566i | 1.61236 | − | 0.618926i | ||||
\(281\) | −23.4373 | − | 3.71211i | −1.39815 | − | 0.221446i | −0.588568 | − | 0.808447i | \(-0.700308\pi\) |
−0.809586 | + | 0.587001i | \(0.800308\pi\) | |||||||
\(282\) | 11.1624 | + | 10.0506i | 0.664709 | + | 0.598507i | ||||
\(283\) | 5.32312 | + | 5.91192i | 0.316426 | + | 0.351427i | 0.880286 | − | 0.474444i | \(-0.157351\pi\) |
−0.563860 | + | 0.825871i | \(0.690684\pi\) | |||||||
\(284\) | 22.1108 | − | 57.6006i | 1.31203 | − | 3.41796i | ||||
\(285\) | −8.31589 | −0.492591 | ||||||||
\(286\) | 17.4691 | + | 27.9264i | 1.03297 | + | 1.65132i | ||||
\(287\) | 3.82347 | 0.225692 | ||||||||
\(288\) | 8.75822 | − | 22.8159i | 0.516083 | − | 1.34444i | ||||
\(289\) | −6.71973 | − | 7.46302i | −0.395278 | − | 0.439001i | ||||
\(290\) | −24.0498 | − | 21.6545i | −1.41225 | − | 1.27160i | ||||
\(291\) | −5.42743 | − | 0.859621i | −0.318162 | − | 0.0503919i | ||||
\(292\) | 54.6422 | − | 20.9752i | 3.19769 | − | 1.22748i | ||||
\(293\) | 3.26657 | − | 0.171194i | 0.190835 | − | 0.0100012i | 0.0433209 | − | 0.999061i | \(-0.486206\pi\) |
0.147514 | + | 0.989060i | \(0.452873\pi\) | |||||||
\(294\) | 15.3332 | − | 7.81267i | 0.894252 | − | 0.455644i | ||||
\(295\) | 4.09877 | − | 38.9972i | 0.238639 | − | 2.27050i | ||||
\(296\) | −40.5808 | + | 70.2880i | −2.35871 | + | 4.08541i | ||||
\(297\) | −1.99140 | + | 2.65223i | −0.115553 | + | 0.153898i | ||||
\(298\) | 48.8824i | 2.83168i | ||||||||
\(299\) | −26.8961 | + | 2.79285i | −1.55544 | + | 0.161515i | ||||
\(300\) | 10.9835 | − | 33.8037i | 0.634132 | − | 1.95166i | ||||
\(301\) | 1.10873 | + | 1.70730i | 0.0639064 | + | 0.0984072i | ||||
\(302\) | −3.22757 | − | 30.7082i | −0.185726 | − | 1.76706i | ||||
\(303\) | −0.857567 | − | 0.381814i | −0.0492660 | − | 0.0219346i | ||||
\(304\) | −35.2774 | − | 17.9747i | −2.02330 | − | 1.03092i | ||||
\(305\) | 0.0925518 | − | 0.142517i | 0.00529950 | − | 0.00816051i | ||||
\(306\) | −4.57253 | − | 5.64660i | −0.261394 | − | 0.322795i | ||||
\(307\) | −24.1647 | − | 24.1647i | −1.37915 | − | 1.37915i | −0.846049 | − | 0.533105i | \(-0.821025\pi\) |
−0.533105 | − | 0.846049i | \(-0.678975\pi\) | |||||||
\(308\) | −14.9178 | − | 5.99709i | −0.850019 | − | 0.341716i | ||||
\(309\) | 0.640050 | + | 0.369533i | 0.0364112 | + | 0.0210220i | ||||
\(310\) | 62.1753 | + | 23.8668i | 3.53132 | + | 1.35555i | ||||
\(311\) | 11.5901 | + | 3.76586i | 0.657216 | + | 0.213542i | 0.618593 | − | 0.785711i | \(-0.287703\pi\) |
0.0386229 | + | 0.999254i | \(0.487703\pi\) | |||||||
\(312\) | 34.4305 | − | 9.17944i | 1.94925 | − | 0.519683i | ||||
\(313\) | 24.9052 | − | 18.0947i | 1.40773 | − | 1.02277i | 0.414080 | − | 0.910241i | \(-0.364103\pi\) |
0.993648 | − | 0.112534i | \(-0.0358966\pi\) | |||||||
\(314\) | −10.7308 | − | 8.68960i | −0.605572 | − | 0.490382i | ||||
\(315\) | −0.607973 | + | 2.86029i | −0.0342554 | + | 0.161159i | ||||
\(316\) | 53.1154 | − | 11.2900i | 2.98798 | − | 0.635114i | ||||
\(317\) | −1.95169 | − | 12.3225i | −0.109618 | − | 0.692100i | −0.979891 | − | 0.199531i | \(-0.936058\pi\) |
0.870274 | − | 0.492569i | \(-0.163942\pi\) | |||||||
\(318\) | 18.7281 | + | 5.01817i | 1.05022 | + | 0.281405i | ||||
\(319\) | 1.02753 | + | 11.5146i | 0.0575305 | + | 0.644692i | ||||
\(320\) | 83.9531 | − | 83.9531i | 4.69312 | − | 4.69312i | ||||
\(321\) | 5.60797 | + | 0.589421i | 0.313006 | + | 0.0328983i | ||||
\(322\) | 13.3191 | − | 11.9926i | 0.742247 | − | 0.668322i | ||||
\(323\) | −5.45784 | + | 3.54436i | −0.303682 | + | 0.197214i | ||||
\(324\) | 3.28441 | + | 4.52061i | 0.182467 | + | 0.251145i | ||||
\(325\) | 21.8209 | − | 7.05985i | 1.21041 | − | 0.391610i | ||||
\(326\) | 15.3078 | − | 4.97382i | 0.847823 | − | 0.275474i | ||||
\(327\) | −2.66973 | − | 0.139915i | −0.147636 | − | 0.00773730i | ||||
\(328\) | 39.7898 | − | 17.7155i | 2.19702 | − | 0.978178i | ||||
\(329\) | −2.36534 | − | 4.09690i | −0.130406 | − | 0.225869i | ||||
\(330\) | −26.9067 | + | 14.9757i | −1.48117 | + | 0.824386i | ||||
\(331\) | −7.98435 | + | 29.7980i | −0.438860 | + | 1.63785i | 0.292798 | + | 0.956174i | \(0.405414\pi\) |
−0.731658 | + | 0.681672i | \(0.761253\pi\) | |||||||
\(332\) | 36.7002 | − | 29.7193i | 2.01419 | − | 1.63106i | ||||
\(333\) | −3.72833 | − | 7.31726i | −0.204311 | − | 0.400983i | ||||
\(334\) | 33.3613 | − | 37.0515i | 1.82545 | − | 2.02737i | ||||
\(335\) | −12.4529 | + | 1.30885i | −0.680374 | + | 0.0715102i | ||||
\(336\) | −8.76161 | + | 10.8197i | −0.477985 | + | 0.590262i | ||||
\(337\) | 3.99119 | + | 12.2836i | 0.217414 | + | 0.669131i | 0.998973 | + | 0.0453003i | \(0.0144245\pi\) |
−0.781560 | + | 0.623831i | \(0.785576\pi\) | |||||||
\(338\) | 27.7728 | + | 22.6054i | 1.51064 | + | 1.22957i | ||||
\(339\) | 4.43914 | + | 3.22522i | 0.241101 | + | 0.175170i | ||||
\(340\) | −12.8579 | − | 47.9862i | −0.697316 | − | 2.60242i | ||||
\(341\) | −10.4660 | − | 21.3644i | −0.566767 | − | 1.15695i | ||||
\(342\) | 5.88559 | − | 3.39805i | 0.318256 | − | 0.183745i | ||||
\(343\) | −11.3514 | + | 1.79788i | −0.612915 | + | 0.0970763i | ||||
\(344\) | 19.4489 | + | 12.6302i | 1.04861 | + | 0.680977i | ||||
\(345\) | −1.32298 | − | 25.2440i | −0.0712269 | − | 1.35909i | ||||
\(346\) | −3.08485 | + | 19.4770i | −0.165843 | + | 1.04709i | ||||
\(347\) | −11.2556 | + | 25.2805i | −0.604232 | + | 1.35713i | 0.309535 | + | 0.950888i | \(0.399826\pi\) |
−0.913767 | + | 0.406239i | \(0.866840\pi\) | |||||||
\(348\) | 19.0510 | + | 4.04941i | 1.02124 | + | 0.217071i | ||||
\(349\) | −0.439545 | + | 8.38702i | −0.0235283 | + | 0.448947i | 0.961310 | + | 0.275470i | \(0.0888335\pi\) |
−0.984838 | + | 0.173477i | \(0.944500\pi\) | |||||||
\(350\) | −8.93498 | + | 12.2979i | −0.477595 | + | 0.657353i | ||||
\(351\) | −1.11847 | + | 3.42769i | −0.0596995 | + | 0.182956i | ||||
\(352\) | −81.0012 | + | 2.96933i | −4.31738 | + | 0.158266i | ||||
\(353\) | −16.1327 | + | 4.32274i | −0.858657 | + | 0.230076i | −0.661176 | − | 0.750230i | \(-0.729943\pi\) |
−0.197480 | + | 0.980307i | \(0.563276\pi\) | |||||||
\(354\) | 13.0342 | + | 29.2752i | 0.692757 | + | 1.55596i | ||||
\(355\) | 7.73786 | + | 36.4038i | 0.410683 | + | 1.93211i | ||||
\(356\) | 25.5778 | − | 50.1993i | 1.35562 | − | 2.66056i | ||||
\(357\) | 0.820078 | + | 2.13638i | 0.0434031 | + | 0.113069i | ||||
\(358\) | 16.7556 | + | 43.6498i | 0.885560 | + | 2.30696i | ||||
\(359\) | 12.8328 | − | 25.1858i | 0.677290 | − | 1.32926i | −0.254787 | − | 0.966997i | \(-0.582006\pi\) |
0.932077 | − | 0.362259i | \(-0.117994\pi\) | |||||||
\(360\) | 6.92577 | + | 32.5832i | 0.365020 | + | 1.71729i | ||||
\(361\) | 5.25218 | + | 11.7966i | 0.276431 | + | 0.620873i | ||||
\(362\) | 35.3648 | − | 9.47596i | 1.85873 | − | 0.498045i | ||||
\(363\) | 10.6824 | + | 2.62409i | 0.560682 | + | 0.137729i | ||||
\(364\) | −17.4536 | − | 0.936623i | −0.914818 | − | 0.0490924i | ||||
\(365\) | −20.7521 | + | 28.5628i | −1.08622 | + | 1.49505i | ||||
\(366\) | −0.00726820 | + | 0.138686i | −0.000379915 | + | 0.00724921i | ||||
\(367\) | 1.28899 | + | 0.273983i | 0.0672846 | + | 0.0143018i | 0.241431 | − | 0.970418i | \(-0.422383\pi\) |
−0.174146 | + | 0.984720i | \(0.555717\pi\) | |||||||
\(368\) | 48.9523 | − | 109.949i | 2.55182 | − | 5.73147i | ||||
\(369\) | −0.689431 | + | 4.35290i | −0.0358903 | + | 0.226603i | ||||
\(370\) | −3.99054 | − | 76.1440i | −0.207458 | − | 3.95854i | ||||
\(371\) | −5.12132 | − | 3.32583i | −0.265886 | − | 0.172668i | ||||
\(372\) | −39.5878 | + | 6.27009i | −2.05253 | + | 0.325089i | ||||
\(373\) | −12.2839 | + | 7.09211i | −0.636036 | + | 0.367216i | −0.783086 | − | 0.621913i | \(-0.786356\pi\) |
0.147050 | + | 0.989129i | \(0.453022\pi\) | |||||||
\(374\) | −11.2764 | + | 21.2969i | −0.583088 | + | 1.10123i | ||||
\(375\) | 1.18722 | + | 4.43075i | 0.0613076 | + | 0.228803i | ||||
\(376\) | −43.5979 | − | 31.6758i | −2.24839 | − | 1.63355i | ||||
\(377\) | 5.09724 | + | 11.4873i | 0.262521 | + | 0.591625i | ||||
\(378\) | −0.738480 | − | 2.27281i | −0.0379833 | − | 0.116901i | ||||
\(379\) | 5.50201 | − | 6.79442i | 0.282619 | − | 0.349006i | −0.615991 | − | 0.787753i | \(-0.711244\pi\) |
0.898611 | + | 0.438747i | \(0.144578\pi\) | |||||||
\(380\) | 46.2128 | − | 4.85716i | 2.37067 | − | 0.249167i | ||||
\(381\) | 0.123447 | − | 0.137102i | 0.00632441 | − | 0.00702397i | ||||
\(382\) | −20.7953 | − | 40.8132i | −1.06398 | − | 2.08818i | ||||
\(383\) | −2.90369 | + | 2.35137i | −0.148372 | + | 0.120149i | −0.700632 | − | 0.713522i | \(-0.747099\pi\) |
0.552261 | + | 0.833672i | \(0.313765\pi\) | |||||||
\(384\) | −12.4624 | + | 46.5102i | −0.635968 | + | 2.37346i | ||||
\(385\) | 9.51702 | − | 1.86706i | 0.485032 | − | 0.0951543i | ||||
\(386\) | −7.26294 | − | 12.5798i | −0.369674 | − | 0.640294i | ||||
\(387\) | −2.14363 | + | 0.954405i | −0.108967 | + | 0.0485152i | ||||
\(388\) | 30.6632 | + | 1.60699i | 1.55669 | + | 0.0815827i | ||||
\(389\) | −6.45908 | + | 2.09868i | −0.327488 | + | 0.106407i | −0.468147 | − | 0.883651i | \(-0.655078\pi\) |
0.140658 | + | 0.990058i | \(0.455078\pi\) | |||||||
\(390\) | −22.4310 | + | 24.8496i | −1.13584 | + | 1.25831i | ||||
\(391\) | −11.6277 | − | 16.0041i | −0.588036 | − | 0.809363i | ||||
\(392\) | −51.7809 | + | 33.6269i | −2.61533 | + | 1.69842i | ||||
\(393\) | 11.8138 | − | 10.6372i | 0.595927 | − | 0.536575i | ||||
\(394\) | 9.79381 | + | 1.02937i | 0.493405 | + | 0.0518589i | ||||
\(395\) | −23.1616 | + | 23.1616i | −1.16539 | + | 1.16539i | ||||
\(396\) | 9.51740 | − | 15.9020i | 0.478268 | − | 0.799108i | ||||
\(397\) | −25.7863 | − | 6.90942i | −1.29418 | − | 0.346774i | −0.454932 | − | 0.890526i | \(-0.650337\pi\) |
−0.839246 | + | 0.543752i | \(0.817003\pi\) | |||||||
\(398\) | 3.93180 | + | 24.8244i | 0.197083 | + | 1.24433i | ||||
\(399\) | −2.09366 | + | 0.445021i | −0.104814 | + | 0.0222789i | ||||
\(400\) | −21.2232 | + | 99.8473i | −1.06116 | + | 4.99237i | ||||
\(401\) | 18.5523 | + | 15.0233i | 0.926456 | + | 0.750229i | 0.968533 | − | 0.248885i | \(-0.0800642\pi\) |
−0.0420771 | + | 0.999114i | \(0.513398\pi\) | |||||||
\(402\) | 8.27874 | − | 6.01486i | 0.412906 | − | 0.299994i | ||||
\(403\) | −18.2648 | − | 18.3106i | −0.909833 | − | 0.912115i | ||||
\(404\) | 4.98866 | + | 1.62091i | 0.248195 | + | 0.0806434i | ||||
\(405\) | −3.14672 | − | 1.20791i | −0.156362 | − | 0.0600217i | ||||
\(406\) | −7.21374 | − | 4.16486i | −0.358012 | − | 0.206698i | ||||
\(407\) | −17.4716 | + | 20.8953i | −0.866034 | + | 1.03574i | ||||
\(408\) | 18.4330 | + | 18.4330i | 0.912568 | + | 0.912568i | ||||
\(409\) | −1.34791 | − | 1.66453i | −0.0666500 | − | 0.0823060i | 0.742731 | − | 0.669590i | \(-0.233530\pi\) |
−0.809381 | + | 0.587284i | \(0.800197\pi\) | |||||||
\(410\) | −22.2859 | + | 34.3173i | −1.10062 | + | 1.69481i | ||||
\(411\) | 6.91964 | + | 3.52573i | 0.341321 | + | 0.173912i | ||||
\(412\) | −3.77271 | − | 1.67972i | −0.185868 | − | 0.0827537i | ||||
\(413\) | −1.05498 | − | 10.0375i | −0.0519123 | − | 0.493913i | ||||
\(414\) | 11.2516 | + | 17.3259i | 0.552984 | + | 0.851521i | ||||
\(415\) | −8.80270 | + | 27.0919i | −0.432108 | + | 1.32989i | ||||
\(416\) | −82.3035 | + | 31.4752i | −4.03526 | + | 1.54320i | ||||
\(417\) | − | 1.35584i | − | 0.0663957i | ||||||
\(418\) | −18.0248 | − | 13.5337i | −0.881624 | − | 0.661956i | ||||
\(419\) | −11.8210 | + | 20.4746i | −0.577496 | + | 1.00025i | 0.418270 | + | 0.908323i | \(0.362637\pi\) |
−0.995766 | + | 0.0919288i | \(0.970697\pi\) | |||||||
\(420\) | 1.70797 | − | 16.2502i | 0.0833402 | − | 0.792929i | ||||
\(421\) | 24.4706 | − | 12.4684i | 1.19263 | − | 0.607673i | 0.258984 | − | 0.965882i | \(-0.416612\pi\) |
0.933641 | + | 0.358209i | \(0.116612\pi\) | |||||||
\(422\) | 24.0972 | − | 1.26288i | 1.17303 | − | 0.0614760i | ||||
\(423\) | 5.09069 | − | 1.95413i | 0.247518 | − | 0.0950133i | ||||
\(424\) | −68.7060 | − | 10.8820i | −3.33666 | − | 0.528475i | ||||
\(425\) | 12.4686 | + | 11.2268i | 0.604818 | + | 0.544581i | ||||
\(426\) | −20.3519 | − | 22.6030i | −0.986050 | − | 1.09512i | ||||
\(427\) | 0.0156746 | − | 0.0408338i | 0.000758549 | − | 0.00197609i | ||||
\(428\) | −31.5087 | −1.52303 | ||||||||
\(429\) | 11.9123 | − | 1.04798i | 0.575129 | − | 0.0505970i | ||||
\(430\) | −21.7863 | −1.05063 | ||||||||
\(431\) | −1.00997 | + | 2.63106i | −0.0486485 | + | 0.126734i | −0.955752 | − | 0.294175i | \(-0.904955\pi\) |
0.907103 | + | 0.420908i | \(0.138289\pi\) | |||||||
\(432\) | −10.7380 | − | 11.9258i | −0.516633 | − | 0.573779i | ||||
\(433\) | 20.6619 | + | 18.6041i | 0.992947 | + | 0.894054i | 0.994372 | − | 0.105945i | \(-0.0337868\pi\) |
−0.00142449 | + | 0.999999i | \(0.500453\pi\) | |||||||
\(434\) | 16.9308 | + | 2.68158i | 0.812706 | + | 0.128720i | ||||
\(435\) | −10.9681 | + | 4.21026i | −0.525881 | + | 0.201867i | ||||
\(436\) | 14.9179 | − | 0.781812i | 0.714436 | − | 0.0374420i | ||||
\(437\) | 16.4866 | − | 8.40032i | 0.788659 | − | 0.401842i | ||||
\(438\) | 3.01598 | − | 28.6952i | 0.144109 | − | 1.37111i | ||||
\(439\) | 20.4925 | − | 35.4940i | 0.978053 | − | 1.69404i | 0.308586 | − | 0.951196i | \(-0.400144\pi\) |
0.669467 | − | 0.742841i | \(-0.266522\pi\) | |||||||
\(440\) | 90.3903 | − | 63.5259i | 4.30919 | − | 3.02848i | ||||
\(441\) | − | 6.24734i | − | 0.297492i | ||||||
\(442\) | −4.13056 | + | 25.8696i | −0.196470 | + | 1.23049i | ||||
\(443\) | 8.95439 | − | 27.5588i | 0.425436 | − | 1.30936i | −0.477140 | − | 0.878827i | \(-0.658327\pi\) |
0.902576 | − | 0.430530i | \(-0.141673\pi\) | |||||||
\(444\) | 24.9928 | + | 38.4856i | 1.18611 | + | 1.82645i | ||||
\(445\) | 3.55238 | + | 33.7986i | 0.168399 | + | 1.60221i | ||||
\(446\) | −3.56844 | − | 1.58877i | −0.168970 | − | 0.0752305i | ||||
\(447\) | 15.8116 | + | 8.05642i | 0.747864 | + | 0.381056i | ||||
\(448\) | 16.6438 | − | 25.6292i | 0.786347 | − | 1.21087i | ||||
\(449\) | 16.9909 | + | 20.9820i | 0.801851 | + | 0.990204i | 0.999950 | + | 0.0100216i | \(0.00319004\pi\) |
−0.198099 | + | 0.980182i | \(0.563477\pi\) | |||||||
\(450\) | −12.3897 | − | 12.3897i | −0.584056 | − | 0.584056i | ||||
\(451\) | 14.1765 | − | 3.56074i | 0.667547 | − | 0.167669i | ||||
\(452\) | −26.5528 | − | 15.3303i | −1.24894 | − | 0.721076i | ||||
\(453\) | −10.4649 | − | 4.01710i | −0.491684 | − | 0.188740i | ||||
\(454\) | 50.0835 | + | 16.2731i | 2.35054 | + | 0.763736i | ||||
\(455\) | 9.13737 | − | 5.26022i | 0.428366 | − | 0.246603i | ||||
\(456\) | −19.7262 | + | 14.3319i | −0.923763 | + | 0.671153i | ||||
\(457\) | 24.0726 | + | 19.4936i | 1.12607 | + | 0.911873i | 0.996816 | − | 0.0797390i | \(-0.0254087\pi\) |
0.129253 | + | 0.991612i | \(0.458742\pi\) | |||||||
\(458\) | −0.262703 | + | 1.23592i | −0.0122753 | + | 0.0577507i | ||||
\(459\) | −2.58007 | + | 0.548411i | −0.120427 | + | 0.0255976i | ||||
\(460\) | 22.0966 | + | 139.512i | 1.03026 | + | 6.50479i | ||||
\(461\) | −3.67214 | − | 0.983946i | −0.171028 | − | 0.0458269i | 0.172289 | − | 0.985047i | \(-0.444884\pi\) |
−0.343317 | + | 0.939220i | \(0.611551\pi\) | |||||||
\(462\) | −5.97278 | + | 5.21028i | −0.277879 | + | 0.242404i | ||||
\(463\) | 2.57433 | − | 2.57433i | 0.119639 | − | 0.119639i | −0.644752 | − | 0.764392i | \(-0.723039\pi\) |
0.764392 | + | 0.644752i | \(0.223039\pi\) | |||||||
\(464\) | −55.6290 | − | 5.84684i | −2.58251 | − | 0.271433i | ||||
\(465\) | 17.9673 | − | 16.1778i | 0.833212 | − | 0.750228i | ||||
\(466\) | −59.8114 | + | 38.8420i | −2.77071 | + | 1.79932i | ||||
\(467\) | −0.142547 | − | 0.196200i | −0.00659630 | − | 0.00907903i | 0.805706 | − | 0.592316i | \(-0.201786\pi\) |
−0.812302 | + | 0.583236i | \(0.801786\pi\) | |||||||
\(468\) | 4.21348 | − | 19.7015i | 0.194768 | − | 0.910702i | ||||
\(469\) | −3.06517 | + | 0.995934i | −0.141536 | + | 0.0459880i | ||||
\(470\) | 50.5584 | + | 2.64965i | 2.33209 | + | 0.122219i | ||||
\(471\) | −4.57932 | + | 2.03884i | −0.211004 | + | 0.0939449i | ||||
\(472\) | −57.4864 | − | 99.5694i | −2.64603 | − | 4.58305i | ||||
\(473\) | 5.70092 | + | 5.29773i | 0.262128 | + | 0.243590i | ||||
\(474\) | 6.92836 | − | 25.8570i | 0.318230 | − | 1.18765i | ||||
\(475\) | −12.1962 | + | 9.87627i | −0.559599 | + | 0.453154i | ||||
\(476\) | −5.80513 | − | 11.3932i | −0.266078 | − | 0.522207i | ||||
\(477\) | 4.70980 | − | 5.23077i | 0.215647 | − | 0.239500i | ||||
\(478\) | −18.4989 | + | 1.94431i | −0.846119 | + | 0.0889307i | ||||
\(479\) | −8.64092 | + | 10.6706i | −0.394814 | + | 0.487554i | −0.935329 | − | 0.353780i | \(-0.884896\pi\) |
0.540515 | + | 0.841334i | \(0.318229\pi\) | |||||||
\(480\) | −25.4551 | − | 78.3429i | −1.16186 | − | 3.57585i | ||||
\(481\) | −10.6459 | + | 27.6301i | −0.485412 | + | 1.25982i | ||||
\(482\) | 54.9156 | + | 39.8985i | 2.50134 | + | 1.81733i | ||||
\(483\) | −1.68400 | − | 6.28477i | −0.0766246 | − | 0.285967i | ||||
\(484\) | −60.8967 | − | 8.34311i | −2.76803 | − | 0.379232i | ||||
\(485\) | −16.0403 | + | 9.26085i | −0.728351 | + | 0.420514i | ||||
\(486\) | 2.72068 | − | 0.430913i | 0.123412 | − | 0.0195466i | ||||
\(487\) | −29.6381 | − | 19.2472i | −1.34303 | − | 0.872174i | −0.345233 | − | 0.938517i | \(-0.612200\pi\) |
−0.997797 | + | 0.0663433i | \(0.978867\pi\) | |||||||
\(488\) | −0.0260767 | − | 0.497573i | −0.00118044 | − | 0.0225241i | ||||
\(489\) | 0.914077 | − | 5.77126i | 0.0413360 | − | 0.260985i | ||||
\(490\) | 23.5924 | − | 52.9894i | 1.06580 | − | 2.39382i | ||||
\(491\) | 12.3295 | + | 2.62072i | 0.556424 | + | 0.118272i | 0.477536 | − | 0.878612i | \(-0.341530\pi\) |
0.0788875 | + | 0.996884i | \(0.474863\pi\) | |||||||
\(492\) | 1.28884 | − | 24.5925i | 0.0581052 | − | 1.10871i | ||||
\(493\) | −5.40405 | + | 7.43804i | −0.243386 | + | 0.334992i | ||||
\(494\) | −23.2949 | − | 7.60123i | −1.04809 | − | 0.341996i | ||||
\(495\) | 0.409523 | + | 11.1715i | 0.0184067 | + | 0.502121i | ||||
\(496\) | 111.188 | − | 29.7928i | 4.99250 | − | 1.33774i | ||||
\(497\) | 3.89626 | + | 8.75114i | 0.174771 | + | 0.392542i | ||||
\(498\) | −4.84020 | − | 22.7714i | −0.216895 | − | 1.02041i | ||||
\(499\) | −12.3297 | + | 24.1985i | −0.551955 | + | 1.08327i | 0.431499 | + | 0.902113i | \(0.357985\pi\) |
−0.983454 | + | 0.181159i | \(0.942015\pi\) | |||||||
\(500\) | −9.18548 | − | 23.9290i | −0.410787 | − | 1.07014i | ||||
\(501\) | −6.48641 | − | 16.8977i | −0.289791 | − | 0.754932i | ||||
\(502\) | −14.5467 | + | 28.5496i | −0.649253 | + | 1.27423i | ||||
\(503\) | 0.179277 | + | 0.843433i | 0.00799358 | + | 0.0376068i | 0.981964 | − | 0.189070i | \(-0.0605473\pi\) |
−0.973970 | + | 0.226677i | \(0.927214\pi\) | |||||||
\(504\) | 3.48735 | + | 7.83271i | 0.155339 | + | 0.348897i | ||||
\(505\) | −3.05625 | + | 0.818918i | −0.136001 | + | 0.0364414i | ||||
\(506\) | 38.2158 | − | 56.8698i | 1.69890 | − | 2.52817i | ||||
\(507\) | 11.8893 | − | 5.25782i | 0.528022 | − | 0.233508i | ||||
\(508\) | −0.605940 | + | 0.834004i | −0.0268842 | + | 0.0370030i | ||||
\(509\) | −0.0278044 | + | 0.530540i | −0.00123241 | + | 0.0235158i | −0.999177 | − | 0.0405745i | \(-0.987081\pi\) |
0.997944 | + | 0.0640902i | \(0.0204145\pi\) | |||||||
\(510\) | −23.9550 | − | 5.09178i | −1.06074 | − | 0.225468i | ||||
\(511\) | −3.69615 | + | 8.30169i | −0.163508 | + | 0.367245i | ||||
\(512\) | 11.7323 | − | 74.0747i | 0.518499 | − | 3.27367i | ||||
\(513\) | −0.129123 | − | 2.46381i | −0.00570090 | − | 0.108780i | ||||
\(514\) | −25.9623 | − | 16.8601i | −1.14515 | − | 0.743667i | ||||
\(515\) | 2.46042 | − | 0.389693i | 0.108419 | − | 0.0171719i | ||||
\(516\) | 11.3551 | − | 6.55585i | 0.499879 | − | 0.288605i | ||||
\(517\) | −12.5855 | − | 12.9875i | −0.553511 | − | 0.571191i | ||||
\(518\) | −5.07949 | − | 18.9569i | −0.223180 | − | 0.832919i | ||||
\(519\) | 5.79164 | + | 4.20788i | 0.254225 | + | 0.184705i | ||||
\(520\) | 70.7176 | − | 97.0785i | 3.10117 | − | 4.25717i | ||||
\(521\) | −10.3472 | − | 31.8455i | −0.453321 | − | 1.39518i | −0.873095 | − | 0.487550i | \(-0.837891\pi\) |
0.419774 | − | 0.907629i | \(-0.362109\pi\) | |||||||
\(522\) | 6.04231 | − | 7.46163i | 0.264465 | − | 0.326587i | ||||
\(523\) | 2.65058 | − | 0.278587i | 0.115902 | − | 0.0121818i | −0.0464000 | − | 0.998923i | \(-0.514775\pi\) |
0.162302 | + | 0.986741i | \(0.448108\pi\) | |||||||
\(524\) | −59.4383 | + | 66.0129i | −2.59657 | + | 2.88379i | ||||
\(525\) | 2.50533 | + | 4.91698i | 0.109341 | + | 0.214595i | ||||
\(526\) | −13.4401 | + | 10.8836i | −0.586016 | + | 0.474546i | ||||
\(527\) | 4.89695 | − | 18.2757i | 0.213314 | − | 0.796100i | ||||
\(528\) | −22.4098 | + | 48.2765i | −0.975262 | + | 2.10097i | ||||
\(529\) | 16.6231 | + | 28.7921i | 0.722744 | + | 1.25183i | ||||
\(530\) | 59.7016 | − | 26.5808i | 2.59327 | − | 1.15460i | ||||
\(531\) | 11.6176 | + | 0.608853i | 0.504161 | + | 0.0264220i | ||||
\(532\) | 11.3749 | − | 3.69592i | 0.493164 | − | 0.160239i | ||||
\(533\) | 13.3375 | − | 8.63774i | 0.577711 | − | 0.374142i | ||||
\(534\) | −16.3250 | − | 22.4695i | −0.706453 | − | 0.972349i | ||||
\(535\) | 15.9400 | − | 10.3516i | 0.689147 | − | 0.447537i | ||||
\(536\) | −27.2839 | + | 24.5665i | −1.17848 | + | 1.06111i | ||||
\(537\) | 16.8806 | + | 1.77422i | 0.728451 | + | 0.0765632i | ||||
\(538\) | −40.8011 | + | 40.8011i | −1.75906 | + | 1.75906i | ||||
\(539\) | −19.0589 | + | 8.12906i | −0.820924 | + | 0.350143i | ||||
\(540\) | 18.1924 | + | 4.87463i | 0.782875 | + | 0.209771i | ||||
\(541\) | 1.39928 | + | 8.83470i | 0.0601597 | + | 0.379833i | 0.999337 | + | 0.0364014i | \(0.0115895\pi\) |
−0.939178 | + | 0.343432i | \(0.888411\pi\) | |||||||
\(542\) | 36.6835 | − | 7.79731i | 1.57569 | − | 0.334923i | ||||
\(543\) | 2.76343 | − | 13.0009i | 0.118590 | − | 0.557923i | ||||
\(544\) | −50.0975 | − | 40.5682i | −2.14791 | − | 1.73935i | ||||
\(545\) | −7.28999 | + | 5.29649i | −0.312269 | + | 0.226877i | ||||
\(546\) | −4.31756 | + | 7.45666i | −0.184775 | + | 0.319115i | ||||
\(547\) | −10.2757 | − | 3.33878i | −0.439357 | − | 0.142756i | 0.0809818 | − | 0.996716i | \(-0.474194\pi\) |
−0.520339 | + | 0.853960i | \(0.674194\pi\) | |||||||
\(548\) | −40.5129 | − | 15.5514i | −1.73063 | − | 0.664325i | ||||
\(549\) | 0.0436617 | + | 0.0252081i | 0.00186343 | + | 0.00107585i | ||||
\(550\) | −21.6760 | + | 53.9190i | −0.924266 | + | 2.29911i | ||||
\(551\) | −6.08080 | − | 6.08080i | −0.259051 | − | 0.259051i | ||||
\(552\) | −46.6446 | − | 57.6013i | −1.98533 | − | 2.45167i | ||||
\(553\) | −4.59182 | + | 7.07078i | −0.195264 | + | 0.300680i | ||||
\(554\) | −57.1761 | − | 29.1327i | −2.42918 | − | 1.23773i | ||||
\(555\) | −25.2874 | − | 11.2587i | −1.07339 | − | 0.477904i | ||||
\(556\) | 0.791921 | + | 7.53462i | 0.0335849 | + | 0.319539i | ||||
\(557\) | 11.0915 | + | 17.0794i | 0.469961 | + | 0.723676i | 0.991579 | − | 0.129503i | \(-0.0413381\pi\) |
−0.521618 | + | 0.853179i | \(0.674671\pi\) | |||||||
\(558\) | −6.10579 | + | 18.7917i | −0.258479 | + | 0.795516i | ||||
\(559\) | 7.72465 | + | 3.45083i | 0.326718 | + | 0.145955i | ||||
\(560\) | 46.9265i | 1.98301i | ||||||||
\(561\) | 5.03024 | + | 7.15747i | 0.212377 | + | 0.302189i | ||||
\(562\) | 32.6825 | − | 56.6078i | 1.37863 | − | 2.38786i | ||||
\(563\) | −4.67627 | + | 44.4917i | −0.197081 | + | 1.87510i | 0.233229 | + | 0.972422i | \(0.425071\pi\) |
−0.430310 | + | 0.902681i | \(0.641596\pi\) | |||||||
\(564\) | −27.1485 | + | 13.8328i | −1.14316 | + | 0.582468i | ||||
\(565\) | 18.4694 | − | 0.967938i | 0.777012 | − | 0.0407215i | ||||
\(566\) | −20.4580 | + | 7.85311i | −0.859916 | + | 0.330091i | ||||
\(567\) | −0.856878 | − | 0.135716i | −0.0359855 | − | 0.00569954i | ||||
\(568\) | 81.0946 | + | 73.0180i | 3.40266 | + | 3.06377i | ||||
\(569\) | 5.98596 | + | 6.64808i | 0.250944 | + | 0.278702i | 0.855435 | − | 0.517910i | \(-0.173290\pi\) |
−0.604491 | + | 0.796612i | \(0.706623\pi\) | |||||||
\(570\) | 8.20909 | − | 21.3854i | 0.343841 | − | 0.895737i | ||||
\(571\) | 32.0194 | 1.33997 | 0.669984 | − | 0.742375i | \(-0.266301\pi\) | ||||
0.669984 | + | 0.742375i | \(0.266301\pi\) | |||||||
\(572\) | −65.5863 | + | 12.7815i | −2.74230 | + | 0.534423i | ||||
\(573\) | −16.6288 | −0.694680 | ||||||||
\(574\) | −3.77436 | + | 9.83255i | −0.157539 | + | 0.410403i | ||||
\(575\) | −31.9210 | − | 35.4519i | −1.33120 | − | 1.47844i | ||||
\(576\) | 26.1769 | + | 23.5698i | 1.09071 | + | 0.982076i | ||||
\(577\) | −23.5525 | − | 3.73036i | −0.980505 | − | 0.155297i | −0.354450 | − | 0.935075i | \(-0.615332\pi\) |
−0.626056 | + | 0.779778i | \(0.715332\pi\) | |||||||
\(578\) | 25.8256 | − | 9.91351i | 1.07420 | − | 0.412348i | ||||
\(579\) | −5.26611 | + | 0.275985i | −0.218852 | + | 0.0114695i | ||||
\(580\) | 58.4925 | − | 29.8034i | 2.42877 | − | 1.23752i | ||||
\(581\) | −0.766409 | + | 7.29190i | −0.0317960 | + | 0.302519i | ||||
\(582\) | 7.56836 | − | 13.1088i | 0.313719 | − | 0.543377i | ||||
\(583\) | −22.0860 | − | 7.56198i | −0.914708 | − | 0.313185i | ||||
\(584\) | 103.519i | 4.28365i | ||||||||
\(585\) | 4.34098 | + | 11.3511i | 0.179477 | + | 0.469310i | ||||
\(586\) | −2.78437 | + | 8.56941i | −0.115021 | + | 0.353999i | ||||
\(587\) | 21.9438 | + | 33.7905i | 0.905717 | + | 1.39468i | 0.918781 | + | 0.394767i | \(0.129175\pi\) |
−0.0130644 | + | 0.999915i | \(0.504159\pi\) | |||||||
\(588\) | 3.64896 | + | 34.7175i | 0.150481 | + | 1.43173i | ||||
\(589\) | 16.1672 | + | 7.19810i | 0.666158 | + | 0.296592i | ||||
\(590\) | 96.2403 | + | 49.0369i | 3.96215 | + | 2.01882i | ||||
\(591\) | 1.94710 | − | 2.99827i | 0.0800931 | − | 0.123333i | ||||
\(592\) | −82.9378 | − | 102.420i | −3.40872 | − | 4.20942i | ||||
\(593\) | 15.4364 | + | 15.4364i | 0.633895 | + | 0.633895i | 0.949043 | − | 0.315148i | \(-0.102054\pi\) |
−0.315148 | + | 0.949043i | \(0.602054\pi\) | |||||||
\(594\) | −4.85475 | − | 7.73931i | −0.199193 | − | 0.317548i | ||||
\(595\) | 6.67979 | + | 3.85658i | 0.273845 | + | 0.158104i | ||||
\(596\) | −92.5735 | − | 35.5356i | −3.79196 | − | 1.45560i | ||||
\(597\) | 8.67776 | + | 2.81958i | 0.355157 | + | 0.115398i | ||||
\(598\) | 19.3685 | − | 71.9239i | 0.792038 | − | 2.94119i | ||||
\(599\) | −14.5772 | + | 10.5910i | −0.595609 | + | 0.432735i | −0.844318 | − | 0.535843i | \(-0.819994\pi\) |
0.248709 | + | 0.968578i | \(0.419994\pi\) | |||||||
\(600\) | 48.8545 | + | 39.5616i | 1.99448 | + | 1.61509i | ||||
\(601\) | 3.66804 | − | 17.2568i | 0.149622 | − | 0.703918i | −0.837821 | − | 0.545945i | \(-0.816171\pi\) |
0.987443 | − | 0.157973i | \(-0.0504958\pi\) | |||||||
\(602\) | −5.48505 | + | 1.16588i | −0.223554 | + | 0.0475178i | ||||
\(603\) | −0.581141 | − | 3.66918i | −0.0236659 | − | 0.149421i | ||||
\(604\) | 60.5015 | + | 16.2113i | 2.46177 | + | 0.659630i | ||||
\(605\) | 33.5482 | − | 15.7857i | 1.36393 | − | 0.641781i | ||||
\(606\) | 1.82844 | − | 1.82844i | 0.0742752 | − | 0.0742752i | ||||
\(607\) | 2.45401 | + | 0.257927i | 0.0996051 | + | 0.0104689i | 0.154200 | − | 0.988040i | \(-0.450720\pi\) |
−0.0545948 | + | 0.998509i | \(0.517387\pi\) | |||||||
\(608\) | 44.8087 | − | 40.3459i | 1.81723 | − | 1.63624i | ||||
\(609\) | −2.53609 | + | 1.64695i | −0.102767 | + | 0.0667379i | ||||
\(610\) | 0.275139 | + | 0.378696i | 0.0111400 | + | 0.0153330i | ||||
\(611\) | −17.5065 | − | 8.94766i | −0.708239 | − | 0.361984i | ||||
\(612\) | 14.0176 | − | 4.55458i | 0.566627 | − | 0.184108i | ||||
\(613\) | −24.0246 | − | 1.25908i | −0.970346 | − | 0.0508537i | −0.439429 | − | 0.898277i | \(-0.644819\pi\) |
−0.530917 | + | 0.847424i | \(0.678152\pi\) | |||||||
\(614\) | 85.9972 | − | 38.2884i | 3.47057 | − | 1.54520i | ||||
\(615\) | 7.42736 | + | 12.8646i | 0.299500 | + | 0.518750i | ||||
\(616\) | 19.3576 | − | 20.8309i | 0.779941 | − | 0.839299i | ||||
\(617\) | 10.2358 | − | 38.2004i | 0.412077 | − | 1.53789i | −0.378543 | − | 0.925584i | \(-0.623575\pi\) |
0.790620 | − | 0.612307i | \(-0.209758\pi\) | |||||||
\(618\) | −1.58213 | + | 1.28119i | −0.0636428 | + | 0.0515369i | ||||
\(619\) | 2.38831 | + | 4.68733i | 0.0959944 | + | 0.188400i | 0.934010 | − | 0.357246i | \(-0.116284\pi\) |
−0.838016 | + | 0.545646i | \(0.816284\pi\) | |||||||
\(620\) | −90.3980 | + | 100.397i | −3.63047 | + | 4.03205i | ||||
\(621\) | 7.45866 | − | 0.783937i | 0.299306 | − | 0.0314583i | ||||
\(622\) | −21.1257 | + | 26.0881i | −0.847064 | + | 1.04604i | ||||
\(623\) | 2.70308 | + | 8.31923i | 0.108297 | + | 0.333303i | ||||
\(624\) | −6.12016 | + | 57.5363i | −0.245003 | + | 2.30329i | ||||
\(625\) | −13.2221 | − | 9.60643i | −0.528885 | − | 0.384257i | ||||
\(626\) | 21.9476 | + | 81.9095i | 0.877202 | + | 3.27376i | ||||
\(627\) | −7.34836 | + | 3.59983i | −0.293465 | + | 0.143763i | ||||
\(628\) | 24.2572 | − | 14.0049i | 0.967967 | − | 0.558856i | ||||
\(629\) | −21.3951 | + | 3.38865i | −0.853079 | + | 0.135114i | ||||
\(630\) | −6.75545 | − | 4.38704i | −0.269143 | − | 0.174784i | ||||
\(631\) | −1.69706 | − | 32.3819i | −0.0675590 | − | 1.28910i | −0.796547 | − | 0.604576i | \(-0.793342\pi\) |
0.728988 | − | 0.684526i | \(-0.239991\pi\) | |||||||
\(632\) | −15.0242 | + | 94.8593i | −0.597632 | + | 3.77330i | ||||
\(633\) | 3.56301 | − | 8.00266i | 0.141617 | − | 0.318077i | ||||
\(634\) | 33.6155 | + | 7.14521i | 1.33504 | + | 0.283772i | ||||
\(635\) | 0.0325445 | − | 0.620987i | 0.00129149 | − | 0.0246431i | ||||
\(636\) | −23.1180 | + | 31.8192i | −0.916687 | + | 1.26171i | ||||
\(637\) | −16.7583 | + | 15.0513i | −0.663987 | + | 0.596353i | ||||
\(638\) | −30.6256 | − | 8.72427i | −1.21248 | − | 0.345397i | ||||
\(639\) | −10.6655 | + | 2.85780i | −0.421919 | + | 0.113053i | ||||
\(640\) | 66.0122 | + | 148.266i | 2.60936 | + | 5.86072i | ||||
\(641\) | −4.17716 | − | 19.6520i | −0.164988 | − | 0.776207i | −0.980352 | − | 0.197258i | \(-0.936796\pi\) |
0.815364 | − | 0.578949i | \(-0.196537\pi\) | |||||||
\(642\) | −7.05172 | + | 13.8398i | −0.278309 | + | 0.546213i | ||||
\(643\) | 2.04196 | + | 5.31949i | 0.0805271 | + | 0.209780i | 0.967933 | − | 0.251209i | \(-0.0808281\pi\) |
−0.887406 | + | 0.460989i | \(0.847495\pi\) | |||||||
\(644\) | 13.0291 | + | 33.9419i | 0.513418 | + | 1.33750i | ||||
\(645\) | −3.59065 | + | 7.04704i | −0.141382 | + | 0.277477i | ||||
\(646\) | −3.72705 | − | 17.5344i | −0.146639 | − | 0.689882i | ||||
\(647\) | −12.2123 | − | 27.4293i | −0.480115 | − | 1.07836i | −0.977521 | − | 0.210838i | \(-0.932381\pi\) |
0.497406 | − | 0.867518i | \(-0.334286\pi\) | |||||||
\(648\) | −9.54612 | + | 2.55787i | −0.375007 | + | 0.100483i | ||||
\(649\) | −13.2594 | − | 36.2343i | −0.520478 | − | 1.42232i | ||||
\(650\) | −3.38534 | + | 63.0846i | −0.132784 | + | 2.47438i | ||||
\(651\) | 3.65780 | − | 5.03453i | 0.143360 | − | 0.197319i | ||||
\(652\) | −1.70879 | + | 32.6057i | −0.0669216 | + | 1.27694i | ||||
\(653\) | −11.0952 | − | 2.35836i | −0.434189 | − | 0.0922897i | −0.0143683 | − | 0.999897i | \(-0.504574\pi\) |
−0.419821 | + | 0.907607i | \(0.637907\pi\) | |||||||
\(654\) | 2.99525 | − | 6.72745i | 0.117124 | − | 0.263064i | ||||
\(655\) | 8.38214 | − | 52.9228i | 0.327517 | − | 2.06786i | ||||
\(656\) | 3.70145 | + | 70.6278i | 0.144517 | + | 2.75755i | ||||
\(657\) | −8.78473 | − | 5.70487i | −0.342725 | − | 0.222568i | ||||
\(658\) | 12.8707 | − | 2.03852i | 0.501751 | − | 0.0794696i | ||||
\(659\) | 0.398104 | − | 0.229845i | 0.0155079 | − | 0.00895350i | −0.492226 | − | 0.870467i | \(-0.663817\pi\) |
0.507734 | + | 0.861514i | \(0.330483\pi\) | |||||||
\(660\) | −8.80086 | − | 61.8427i | −0.342573 | − | 2.40722i | ||||
\(661\) | −1.76846 | − | 6.59998i | −0.0687851 | − | 0.256709i | 0.922967 | − | 0.384878i | \(-0.125757\pi\) |
−0.991752 | + | 0.128169i | \(0.959090\pi\) | |||||||
\(662\) | −68.7477 | − | 49.9481i | −2.67196 | − | 1.94129i | ||||
\(663\) | 7.68707 | + | 5.59970i | 0.298541 | + | 0.217474i | ||||
\(664\) | 25.8103 | + | 79.4358i | 1.00163 | + | 3.08271i | ||||
\(665\) | −4.54025 | + | 5.60674i | −0.176063 | + | 0.217420i | ||||
\(666\) | 22.4978 | − | 2.36461i | 0.871771 | − | 0.0916268i | ||||
\(667\) | 17.4917 | − | 19.4265i | 0.677280 | − | 0.752196i | ||||
\(668\) | 45.9157 | + | 90.1146i | 1.77653 | + | 3.48664i | ||||
\(669\) | −1.10203 | + | 0.892406i | −0.0426069 | + | 0.0345024i | ||||
\(670\) | 8.92708 | − | 33.3163i | 0.344883 | − | 1.28712i | ||||
\(671\) | 0.0200900 | − | 0.166000i | 0.000775565 | − | 0.00640836i | ||||
\(672\) | −10.6012 | − | 18.3618i | −0.408951 | − | 0.708323i | ||||
\(673\) | −15.5745 | + | 6.93419i | −0.600351 | + | 0.267294i | −0.684328 | − | 0.729174i | \(-0.739904\pi\) |
0.0839771 | + | 0.996468i | \(0.473238\pi\) | |||||||
\(674\) | −35.5289 | − | 1.86199i | −1.36852 | − | 0.0717211i | ||||
\(675\) | −6.04958 | + | 1.96563i | −0.232848 | + | 0.0756570i | ||||
\(676\) | −62.9998 | + | 36.1629i | −2.42307 | + | 1.39088i | ||||
\(677\) | 10.4570 | + | 14.3928i | 0.401894 | + | 0.553160i | 0.961218 | − | 0.275789i | \(-0.0889393\pi\) |
−0.559324 | + | 0.828949i | \(0.688939\pi\) | |||||||
\(678\) | −12.6762 | + | 8.23203i | −0.486827 | + | 0.316149i | ||||
\(679\) | −3.54280 | + | 3.18995i | −0.135960 | + | 0.122419i | ||||
\(680\) | 87.3838 | + | 9.18441i | 3.35102 | + | 0.352206i | ||||
\(681\) | 13.5181 | − | 13.5181i | 0.518016 | − | 0.518016i | ||||
\(682\) | 65.2730 | − | 5.82477i | 2.49943 | − | 0.223042i | ||||
\(683\) | 4.03074 | + | 1.08003i | 0.154232 | + | 0.0413263i | 0.335109 | − | 0.942179i | \(-0.391227\pi\) |
−0.180877 | + | 0.983506i | \(0.557894\pi\) | |||||||
\(684\) | 2.15662 | + | 13.6164i | 0.0824605 | + | 0.520635i | ||||
\(685\) | 25.6043 | − | 5.44237i | 0.978291 | − | 0.207942i | ||||
\(686\) | 6.58209 | − | 30.9663i | 0.251305 | − | 1.18230i | ||||
\(687\) | 0.356476 | + | 0.288669i | 0.0136004 | + | 0.0110134i | ||||
\(688\) | −30.4642 | + | 22.1336i | −1.16144 | + | 0.843835i | ||||
\(689\) | −25.3783 | − | 0.0317799i | −0.966838 | − | 0.00121072i | ||||
\(690\) | 66.2242 | + | 21.5176i | 2.52111 | + | 0.819159i | ||||
\(691\) | −36.6727 | − | 14.0773i | −1.39509 | − | 0.535526i | −0.459365 | − | 0.888247i | \(-0.651923\pi\) |
−0.935729 | + | 0.352721i | \(0.885256\pi\) | |||||||
\(692\) | −34.6429 | − | 20.0011i | −1.31692 | − | 0.760327i | ||||
\(693\) | 0.700941 | + | 2.79069i | 0.0266265 | + | 0.106009i | ||||
\(694\) | −53.9011 | − | 53.9011i | −2.04606 | − | 2.04606i | ||||
\(695\) | −2.87598 | − | 3.55154i | −0.109092 | − | 0.134718i | ||||
\(696\) | −18.7614 | + | 28.8900i | −0.711149 | + | 1.09507i | ||||
\(697\) | 10.3578 | + | 5.27755i | 0.392329 | + | 0.199901i | ||||
\(698\) | −21.1344 | − | 9.40966i | −0.799950 | − | 0.356161i | ||||
\(699\) | 2.70626 | + | 25.7484i | 0.102360 | + | 0.973893i | ||||
\(700\) | −16.7944 | − | 25.8612i | −0.634770 | − | 0.977461i | ||||
\(701\) | 11.5316 | − | 35.4906i | 0.435543 | − | 1.34046i | −0.456986 | − | 0.889474i | \(-0.651071\pi\) |
0.892529 | − | 0.450989i | \(-0.148929\pi\) | |||||||
\(702\) | −7.71064 | − | 6.25996i | −0.291020 | − | 0.236267i | ||||
\(703\) | − | 20.2614i | − | 0.764174i | ||||||
\(704\) | 37.8433 | − | 110.528i | 1.42627 | − | 4.16566i | ||||
\(705\) | 9.18971 | − | 15.9170i | 0.346104 | − | 0.599470i | ||||
\(706\) | 4.80900 | − | 45.7546i | 0.180989 | − | 1.72200i | ||||
\(707\) | −0.725634 | + | 0.369729i | −0.0272903 | + | 0.0139051i | ||||
\(708\) | −64.9166 | + | 3.40214i | −2.43972 | + | 0.127860i | ||||
\(709\) | −11.8554 | + | 4.55085i | −0.445238 | + | 0.170911i | −0.570649 | − | 0.821194i | \(-0.693308\pi\) |
0.125411 | + | 0.992105i | \(0.459975\pi\) | |||||||
\(710\) | −101.256 | − | 16.0373i | −3.80006 | − | 0.601870i | ||||
\(711\) | −7.22188 | − | 6.50261i | −0.270842 | − | 0.243867i | ||||
\(712\) | 66.6763 | + | 74.0516i | 2.49880 | + | 2.77520i | ||||
\(713\) | −19.2787 | + | 50.2228i | −0.721994 | + | 1.88086i | ||||
\(714\) | −6.30352 | −0.235903 | ||||||||
\(715\) | 28.9805 | − | 28.0132i | 1.08381 | − | 1.04763i | ||||
\(716\) | −94.8445 | −3.54451 | ||||||||
\(717\) | −2.41993 | + | 6.30413i | −0.0903740 | + | 0.235432i | ||||
\(718\) | 52.1007 | + | 57.8637i | 1.94438 | + | 2.15945i | ||||
\(719\) | 14.7482 | + | 13.2793i | 0.550014 | + | 0.495235i | 0.896635 | − | 0.442770i | \(-0.146004\pi\) |
−0.346621 | + | 0.938005i | \(0.612671\pi\) | |||||||
\(720\) | −53.4244 | − | 8.46159i | −1.99101 | − | 0.315345i | ||||
\(721\) | 0.598597 | − | 0.229780i | 0.0222929 | − | 0.00855744i | ||||
\(722\) | −35.5213 | + | 1.86159i | −1.32196 | + | 0.0692812i | ||||
\(723\) | 21.9564 | − | 11.1874i | 0.816569 | − | 0.416063i | ||||
\(724\) | −7.76325 | + | 73.8624i | −0.288519 | + | 2.74507i | ||||
\(725\) | −11.0857 | + | 19.2010i | −0.411712 | + | 0.713106i | ||||
\(726\) | −17.2934 | + | 24.8809i | −0.641820 | + | 0.923416i | ||||
\(727\) | 25.1143i | 0.931436i | 0.884933 | + | 0.465718i | \(0.154204\pi\) | ||||
−0.884933 | + | 0.465718i | \(0.845796\pi\) | |||||||
\(728\) | 12.6092 | − | 28.2255i | 0.467327 | − | 1.04611i | ||||
\(729\) | 0.309017 | − | 0.951057i | 0.0114451 | − | 0.0352243i | ||||
\(730\) | −52.9675 | − | 81.5629i | −1.96042 | − | 3.01878i | ||||
\(731\) | 0.646966 | + | 6.15547i | 0.0239289 | + | 0.227668i | ||||
\(732\) | −0.257359 | − | 0.114584i | −0.00951225 | − | 0.00423513i | ||||
\(733\) | 31.2895 | + | 15.9428i | 1.15570 | + | 0.588860i | 0.923421 | − | 0.383788i | \(-0.125381\pi\) |
0.232282 | + | 0.972648i | \(0.425381\pi\) | |||||||
\(734\) | −1.97702 | + | 3.04434i | −0.0729731 | + | 0.112369i | ||||
\(735\) | −13.2518 | − | 16.3646i | −0.488798 | − | 0.603616i | ||||
\(736\) | 129.604 | + | 129.604i | 4.77727 | + | 4.77727i | ||||
\(737\) | −10.4375 | + | 6.54725i | −0.384468 | + | 0.241171i | ||||
\(738\) | −10.5135 | − | 6.06996i | −0.387006 | − | 0.223438i | ||||
\(739\) | −5.75471 | − | 2.20903i | −0.211691 | − | 0.0812604i | 0.250212 | − | 0.968191i | \(-0.419500\pi\) |
−0.461903 | + | 0.886931i | \(0.652833\pi\) | |||||||
\(740\) | 147.102 | + | 47.7965i | 5.40759 | + | 1.75703i | ||||
\(741\) | −6.29799 | + | 6.28224i | −0.231363 | + | 0.230784i | ||||
\(742\) | 13.6084 | − | 9.88705i | 0.499579 | − | 0.362965i | ||||
\(743\) | 20.3100 | + | 16.4467i | 0.745101 | + | 0.603371i | 0.924846 | − | 0.380342i | \(-0.124194\pi\) |
−0.179745 | + | 0.983713i | \(0.557527\pi\) | |||||||
\(744\) | 14.7389 | − | 69.3409i | 0.540353 | − | 2.54216i | ||||
\(745\) | 58.5068 | − | 12.4360i | 2.14352 | − | 0.455620i | ||||
\(746\) | −6.11217 | − | 38.5907i | −0.223782 | − | 1.41291i | ||||
\(747\) | −8.16340 | − | 2.18738i | −0.298683 | − | 0.0800319i | ||||
\(748\) | −32.1344 | − | 36.8372i | −1.17495 | − | 1.34690i | ||||
\(749\) | 3.45920 | − | 3.45920i | 0.126396 | − | 0.126396i | ||||
\(750\) | −12.5662 | − | 1.32076i | −0.458854 | − | 0.0482275i | ||||
\(751\) | 18.0072 | − | 16.2137i | 0.657090 | − | 0.591647i | −0.271642 | − | 0.962398i | \(-0.587567\pi\) |
0.928732 | + | 0.370752i | \(0.120900\pi\) | |||||||
\(752\) | 73.3888 | − | 47.6593i | 2.67622 | − | 1.73795i | ||||
\(753\) | 6.83724 | + | 9.41065i | 0.249163 | + | 0.342943i | ||||
\(754\) | −34.5729 | + | 1.76848i | −1.25907 | + | 0.0644041i | ||||
\(755\) | −35.9332 | + | 11.6754i | −1.30774 | + | 0.424912i | ||||
\(756\) | 4.84108 | + | 0.253710i | 0.176069 | + | 0.00922736i | ||||
\(757\) | −2.75398 | + | 1.22615i | −0.100095 | + | 0.0445652i | −0.456173 | − | 0.889891i | \(-0.650780\pi\) |
0.356078 | + | 0.934456i | \(0.384114\pi\) | |||||||
\(758\) | 12.0414 | + | 20.8563i | 0.437364 | + | 0.757536i | ||||
\(759\) | −12.0968 | − | 21.7342i | −0.439086 | − | 0.788902i | ||||
\(760\) | −21.2710 | + | 79.3845i | −0.771580 | + | 2.87958i | ||||
\(761\) | 17.3517 | − | 14.0511i | 0.628998 | − | 0.509353i | −0.260987 | − | 0.965342i | \(-0.584048\pi\) |
0.889985 | + | 0.455990i | \(0.150715\pi\) | |||||||
\(762\) | 0.230715 | + | 0.452803i | 0.00835792 | + | 0.0164033i | ||||
\(763\) | −1.55193 | + | 1.72360i | −0.0561837 | + | 0.0623984i | ||||
\(764\) | 92.4093 | − | 9.71261i | 3.34325 | − | 0.351390i | ||||
\(765\) | −5.59507 | + | 6.90933i | −0.202290 | + | 0.249807i | ||||
\(766\) | −3.18045 | − | 9.78841i | −0.114914 | − | 0.353669i | ||||
\(767\) | −26.3562 | − | 32.6307i | −0.951668 | − | 1.17823i | ||||
\(768\) | −50.3104 | − | 36.5526i | −1.81542 | − | 1.31898i | ||||
\(769\) | 7.39764 | + | 27.6084i | 0.266766 | + | 0.995584i | 0.961161 | + | 0.275990i | \(0.0890055\pi\) |
−0.694395 | + | 0.719594i | \(0.744328\pi\) | |||||||
\(770\) | −4.59340 | + | 26.3174i | −0.165535 | + | 0.948413i | ||||
\(771\) | −9.73250 | + | 5.61906i | −0.350507 | + | 0.202366i | ||||
\(772\) | 29.1034 | − | 4.60953i | 1.04746 | − | 0.165901i | ||||
\(773\) | −40.8267 | − | 26.5132i | −1.46843 | − | 0.953613i | −0.997442 | − | 0.0714752i | \(-0.977229\pi\) |
−0.470992 | − | 0.882137i | \(-0.656104\pi\) | |||||||
\(774\) | −0.338281 | − | 6.45478i | −0.0121592 | − | 0.232012i | ||||
\(775\) | 7.13762 | − | 45.0652i | 0.256391 | − | 1.61879i | ||||
\(776\) | −22.0887 | + | 49.6121i | −0.792939 | + | 1.78097i | ||||
\(777\) | −6.96901 | − | 1.48131i | −0.250012 | − | 0.0531416i | ||||
\(778\) | 0.979088 | − | 18.6821i | 0.0351020 | − | 0.669786i | ||||
\(779\) | −6.39115 | + | 8.79667i | −0.228987 | + | 0.315173i | ||||
\(780\) | −30.7535 | − | 60.5445i | −1.10115 | − | 2.16784i | ||||
\(781\) | 22.5963 | + | 28.8187i | 0.808558 | + | 1.03121i | ||||
\(782\) | 52.6350 | − | 14.1035i | 1.88223 | − | 0.504341i | ||||
\(783\) | −1.41771 | − | 3.18423i | −0.0506648 | − | 0.113795i | ||||
\(784\) | −20.8443 | − | 98.0647i | −0.744439 | − | 3.50231i | ||||
\(785\) | −7.67050 | + | 15.0542i | −0.273772 | + | 0.537308i | ||||
\(786\) | 15.6929 | + | 40.8814i | 0.559747 | + | 1.45819i | ||||
\(787\) | −1.76596 | − | 4.60049i | −0.0629498 | − | 0.163990i | 0.898498 | − | 0.438978i | \(-0.144659\pi\) |
−0.961448 | + | 0.274988i | \(0.911326\pi\) | |||||||
\(788\) | −9.06914 | + | 17.7992i | −0.323075 | + | 0.634070i | ||||
\(789\) | 1.30533 | + | 6.14111i | 0.0464711 | + | 0.218629i | ||||
\(790\) | −36.6990 | − | 82.4273i | −1.30569 | − | 2.93263i | ||||
\(791\) | 4.59816 | − | 1.23207i | 0.163492 | − | 0.0438074i | ||||
\(792\) | 20.2248 | + | 25.7942i | 0.718657 | + | 0.916556i | ||||
\(793\) | −0.0375711 | − | 0.177853i | −0.00133419 | − | 0.00631574i | ||||
\(794\) | 43.2237 | − | 59.4923i | 1.53395 | − | 2.11130i | ||||
\(795\) | 1.24165 | − | 23.6920i | 0.0440367 | − | 0.840270i | ||||
\(796\) | −49.8706 | − | 10.6003i | −1.76762 | − | 0.375719i | ||||
\(797\) | 16.6124 | − | 37.3120i | 0.588440 | − | 1.32166i | −0.336550 | − | 0.941666i | \(-0.609260\pi\) |
0.924990 | − | 0.379992i | \(-0.124073\pi\) | |||||||
\(798\) | 0.922340 | − | 5.82343i | 0.0326505 | − | 0.206147i | ||||
\(799\) | −0.752753 | − | 14.3634i | −0.0266305 | − | 0.508140i | ||||
\(800\) | −130.376 | − | 84.6670i | −4.60948 | − | 2.99343i | ||||
\(801\) | −9.95859 | + | 1.57729i | −0.351869 | + | 0.0557306i | ||||
\(802\) | −56.9485 | + | 32.8792i | −2.01092 | + | 1.16101i | ||||
\(803\) | −5.97323 | + | 34.2229i | −0.210791 | + | 1.20770i | ||||
\(804\) | 5.37260 | + | 20.0508i | 0.189477 | + | 0.707138i | ||||
\(805\) | −17.7423 | − | 12.8905i | −0.625334 | − | 0.454331i | ||||
\(806\) | 65.1183 | − | 28.8949i | 2.29369 | − | 1.01778i | ||||
\(807\) | 6.47309 | + | 19.9221i | 0.227864 | + | 0.701292i | ||||
\(808\) | −5.83839 | + | 7.20981i | −0.205394 | + | 0.253640i | ||||
\(809\) | 37.2504 | − | 3.91517i | 1.30965 | − | 0.137650i | 0.576155 | − | 0.817341i | \(-0.304553\pi\) |
0.733499 | + | 0.679691i | \(0.237886\pi\) | |||||||
\(810\) | 6.21262 | − | 6.89981i | 0.218289 | − | 0.242435i | ||||
\(811\) | 3.64131 | + | 7.14648i | 0.127864 | + | 0.250947i | 0.946059 | − | 0.323993i | \(-0.105025\pi\) |
−0.818196 | + | 0.574940i | \(0.805025\pi\) | |||||||
\(812\) | 13.1315 | − | 10.6337i | 0.460825 | − | 0.373169i | ||||
\(813\) | 3.52375 | − | 13.1508i | 0.123583 | − | 0.461219i | ||||
\(814\) | −36.4879 | − | 65.5575i | −1.27890 | − | 2.29779i | ||||
\(815\) | −9.84752 | − | 17.0564i | −0.344944 | − | 0.597460i | ||||
\(816\) | −38.6697 | + | 17.2168i | −1.35371 | + | 0.602710i | ||||
\(817\) | −5.78131 | − | 0.302986i | −0.202262 | − | 0.0106001i | ||||
\(818\) | 5.61118 | − | 1.82318i | 0.196190 | − | 0.0637461i | ||||
\(819\) | 1.70036 | + | 2.62552i | 0.0594154 | + | 0.0917430i | ||||
\(820\) | −48.7891 | − | 67.1524i | −1.70379 | − | 2.34506i | ||||
\(821\) | 30.7282 | − | 19.9551i | 1.07242 | − | 0.696438i | 0.117432 | − | 0.993081i | \(-0.462534\pi\) |
0.954989 | + | 0.296643i | \(0.0958670\pi\) | |||||||
\(822\) | −15.8977 | + | 14.3143i | −0.554495 | + | 0.499269i | ||||
\(823\) | −24.4354 | − | 2.56826i | −0.851764 | − | 0.0895240i | −0.331423 | − | 0.943482i | \(-0.607529\pi\) |
−0.520341 | + | 0.853958i | \(0.674195\pi\) | |||||||
\(824\) | 5.16478 | − | 5.16478i | 0.179924 | − | 0.179924i | ||||
\(825\) | 13.8683 | + | 15.8979i | 0.482832 | + | 0.553493i | ||||
\(826\) | 26.8542 | + | 7.19556i | 0.934377 | + | 0.250366i | ||||
\(827\) | 6.29987 | + | 39.7758i | 0.219068 | + | 1.38314i | 0.814699 | + | 0.579883i | \(0.196902\pi\) |
−0.595631 | + | 0.803258i | \(0.703098\pi\) | |||||||
\(828\) | −40.9912 | + | 8.71294i | −1.42454 | + | 0.302796i | ||||
\(829\) | −5.51423 | + | 25.9424i | −0.191517 | + | 0.901018i | 0.772466 | + | 0.635056i | \(0.219023\pi\) |
−0.963983 | + | 0.265962i | \(0.914310\pi\) | |||||||
\(830\) | −60.9809 | − | 49.3813i | −2.11668 | − | 1.71405i | ||||
\(831\) | −18.8466 | + | 13.6929i | −0.653783 | + | 0.475001i | ||||
\(832\) | 0.159040 | − | 127.004i | 0.00551372 | − | 4.40306i | ||||
\(833\) | −15.6722 | − | 5.09219i | −0.543008 | − | 0.176434i | ||||
\(834\) | 3.48672 | + | 1.33843i | 0.120735 | + | 0.0463459i | ||||
\(835\) | −52.8338 | − | 30.5036i | −1.82839 | − | 1.05562i | ||||
\(836\) | 38.7335 | − | 24.2969i | 1.33963 | − | 0.840326i | ||||
\(837\) | 5.07209 | + | 5.07209i | 0.175317 | + | 0.175317i | ||||
\(838\) | −40.9840 | − | 50.6111i | −1.41577 | − | 1.74833i | ||||
\(839\) | 10.8845 | − | 16.7607i | 0.375775 | − | 0.578642i | −0.599298 | − | 0.800526i | \(-0.704554\pi\) |
0.975073 | + | 0.221883i | \(0.0712204\pi\) | |||||||
\(840\) | 25.7495 | + | 13.1200i | 0.888443 | + | 0.452684i | ||||
\(841\) | 15.3940 | + | 6.85384i | 0.530827 | + | 0.236339i | ||||
\(842\) | 7.90781 | + | 75.2377i | 0.272521 | + | 2.59286i | ||||
\(843\) | −12.9240 | − | 19.9012i | −0.445126 | − | 0.685435i | ||||
\(844\) | −15.1261 | + | 46.5532i | −0.520661 | + | 1.60243i | ||||
\(845\) | 19.9905 | − | 38.9919i | 0.687696 | − | 1.34136i | ||||
\(846\) | 15.0204i | 0.516413i | ||||||||
\(847\) | 7.60152 | − | 5.76962i | 0.261191 | − | 0.198246i | ||||
\(848\) | 56.4774 | − | 97.8218i | 1.93944 | − | 3.35921i | ||||
\(849\) | −0.831552 | + | 7.91169i | −0.0285388 | + | 0.271529i | ||||
\(850\) | −41.1798 | + | 20.9821i | −1.41245 | + | 0.719682i | ||||
\(851\) | 61.5062 | − | 3.22340i | 2.10841 | − | 0.110497i | ||||
\(852\) | 57.6006 | − | 22.1108i | 1.97336 | − | 0.757503i | ||||
\(853\) | 33.0634 | + | 5.23673i | 1.13207 | + | 0.179302i | 0.694231 | − | 0.719752i | \(-0.255745\pi\) |
0.437838 | + | 0.899054i | \(0.355745\pi\) | |||||||
\(854\) | 0.0895363 | + | 0.0806189i | 0.00306387 | + | 0.00275872i | ||||
\(855\) | −5.56442 | − | 6.17991i | −0.190299 | − | 0.211348i | ||||
\(856\) | 19.9712 | − | 52.0267i | 0.682600 | − | 1.77823i | ||||
\(857\) | −24.3552 | −0.831959 | −0.415979 | − | 0.909374i | \(-0.636561\pi\) | ||||
−0.415979 | + | 0.909374i | \(0.636561\pi\) | |||||||
\(858\) | −9.06425 | + | 31.6685i | −0.309448 | + | 1.08114i | ||||
\(859\) | 37.8668 | 1.29200 | 0.646000 | − | 0.763338i | \(-0.276441\pi\) | ||||
0.646000 | + | 0.763338i | \(0.276441\pi\) | |||||||
\(860\) | 15.8378 | − | 41.2588i | 0.540064 | − | 1.40691i | ||||
\(861\) | 2.55840 | + | 2.84139i | 0.0871900 | + | 0.0968343i | ||||
\(862\) | −5.76912 | − | 5.19454i | −0.196497 | − | 0.176927i | ||||
\(863\) | −27.7571 | − | 4.39630i | −0.944864 | − | 0.149652i | −0.335054 | − | 0.942199i | \(-0.608754\pi\) |
−0.609810 | + | 0.792547i | \(0.708754\pi\) | |||||||
\(864\) | 22.8159 | − | 8.75822i | 0.776214 | − | 0.297961i | ||||
\(865\) | 24.0966 | − | 1.26285i | 0.819307 | − | 0.0429381i | ||||
\(866\) | −68.2394 | + | 34.7697i | −2.31887 | + | 1.18152i | ||||
\(867\) | 1.04973 | − | 9.98747i | 0.0356505 | − | 0.339192i | ||||
\(868\) | −17.3864 | + | 30.1142i | −0.590134 | + | 1.02214i | ||||
\(869\) | −10.4405 | + | 30.4931i | −0.354169 | + | 1.03441i | ||||
\(870\) | − | 32.3622i | − | 1.09718i | ||||||
\(871\) | −8.44235 | + | 10.3988i | −0.286058 | + | 0.352349i | ||||
\(872\) | −8.16448 | + | 25.1277i | −0.276484 | + | 0.850931i | ||||
\(873\) | −2.99284 | − | 4.60857i | −0.101292 | − | 0.155976i | ||||
\(874\) | 5.32771 | + | 50.6898i | 0.180213 | + | 1.71461i | ||||
\(875\) | 3.63549 | + | 1.61862i | 0.122902 | + | 0.0547194i | ||||
\(876\) | 52.1504 | + | 26.5719i | 1.76200 | + | 0.897783i | ||||
\(877\) | −19.0021 | + | 29.2607i | −0.641656 | + | 0.988064i | 0.356889 | + | 0.934147i | \(0.383837\pi\) |
−0.998545 | + | 0.0539172i | \(0.982829\pi\) | |||||||
\(878\) | 71.0483 | + | 87.7374i | 2.39777 | + | 2.96099i | ||||
\(879\) | 2.31298 | + | 2.31298i | 0.0780149 | + | 0.0780149i | ||||
\(880\) | 43.7021 | + | 173.993i | 1.47320 | + | 5.86530i | ||||
\(881\) | −12.0159 | − | 6.93737i | −0.404825 | − | 0.233726i | 0.283739 | − | 0.958902i | \(-0.408425\pi\) |
−0.688564 | + | 0.725176i | \(0.741758\pi\) | |||||||
\(882\) | 16.0659 | + | 6.16711i | 0.540966 | + | 0.207657i | ||||
\(883\) | 10.7148 | + | 3.48145i | 0.360581 | + | 0.117160i | 0.483704 | − | 0.875231i | \(-0.339291\pi\) |
−0.123123 | + | 0.992391i | \(0.539291\pi\) | |||||||
\(884\) | −45.9890 | − | 26.6286i | −1.54678 | − | 0.895617i | ||||
\(885\) | 31.7231 | − | 23.0482i | 1.06636 | − | 0.774757i | ||||
\(886\) | 62.0317 | + | 50.2323i | 2.08400 | + | 1.68759i | ||||
\(887\) | −9.49343 | + | 44.6631i | −0.318758 | + | 1.49964i | 0.468748 | + | 0.883332i | \(0.344705\pi\) |
−0.787506 | + | 0.616307i | \(0.788628\pi\) | |||||||
\(888\) | −79.3880 | + | 16.8744i | −2.66409 | + | 0.566269i | ||||
\(889\) | −0.0250382 | − | 0.158085i | −0.000839754 | − | 0.00530200i | ||||
\(890\) | −90.4244 | − | 24.2291i | −3.03103 | − | 0.812162i | ||||
\(891\) | −3.30350 | + | 0.294795i | −0.110671 | + | 0.00987599i | ||||
\(892\) | 5.60292 | − | 5.60292i | 0.187600 | − | 0.187600i | ||||
\(893\) | 13.3796 | + | 1.40625i | 0.447730 | + | 0.0470583i | ||||
\(894\) | −36.3267 | + | 32.7087i | −1.21495 | + | 1.09394i | ||||
\(895\) | 47.9812 | − | 31.1593i | 1.60383 | − | 1.04154i | ||||
\(896\) | 24.5540 | + | 33.7957i | 0.820291 | + | 1.12903i | ||||
\(897\) | −20.0725 | − | 18.1189i | −0.670201 | − | 0.604973i | ||||
\(898\) | −70.7308 | + | 22.9818i | −2.36032 | + | 0.766914i | ||||
\(899\) | 24.9678 | + | 1.30851i | 0.832723 | + | 0.0436411i | ||||
\(900\) | 32.4704 | − | 14.4568i | 1.08235 | − | 0.481892i | ||||
\(901\) | −9.28301 | − | 16.0786i | −0.309262 | − | 0.535657i | ||||
\(902\) | −4.83755 | + | 39.9719i | −0.161073 | + | 1.33092i | ||||
\(903\) | −0.526884 | + | 1.96636i | −0.0175336 | + | 0.0654363i | ||||
\(904\) | 42.1431 | − | 34.1268i | 1.40166 | − | 1.13504i | ||||
\(905\) | −20.3387 | − | 39.9169i | −0.676081 | − | 1.32688i | ||||
\(906\) | 20.6610 | − | 22.9464i | 0.686416 | − | 0.762342i | ||||
\(907\) | 24.4244 | − | 2.56711i | 0.811000 | − | 0.0852396i | 0.310055 | − | 0.950719i | \(-0.399652\pi\) |
0.500945 | + | 0.865479i | \(0.332986\pi\) | |||||||
\(908\) | −67.2268 | + | 83.0182i | −2.23100 | + | 2.75505i | ||||
\(909\) | −0.290082 | − | 0.892780i | −0.00962140 | − | 0.0296116i | ||||
\(910\) | 4.50733 | + | 28.6906i | 0.149416 | + | 0.951085i | ||||
\(911\) | 12.5890 | + | 9.14644i | 0.417092 | + | 0.303035i | 0.776467 | − | 0.630158i | \(-0.217010\pi\) |
−0.359375 | + | 0.933193i | \(0.617010\pi\) | |||||||
\(912\) | −10.2474 | − | 38.2436i | −0.339324 | − | 1.26637i | ||||
\(913\) | 3.94918 | + | 27.7504i | 0.130699 | + | 0.918405i | ||||
\(914\) | −73.8939 | + | 42.6626i | −2.44419 | + | 1.41116i | ||||
\(915\) | 0.167840 | − | 0.0265833i | 0.00554862 | − | 0.000878816i | ||||
\(916\) | −2.14961 | − | 1.39597i | −0.0710250 | − | 0.0461241i | ||||
\(917\) | −0.721797 | − | 13.7727i | −0.0238358 | − | 0.454815i | ||||
\(918\) | 1.13662 | − | 7.17636i | 0.0375142 | − | 0.236855i | ||||
\(919\) | −19.4608 | + | 43.7097i | −0.641954 | + | 1.44185i | 0.240122 | + | 0.970743i | \(0.422813\pi\) |
−0.882075 | + | 0.471109i | \(0.843854\pi\) | |||||||
\(920\) | −244.366 | − | 51.9416i | −8.05650 | − | 1.71246i | ||||
\(921\) | 1.78853 | − | 34.1273i | 0.0589342 | − | 1.12453i | ||||
\(922\) | 6.15532 | − | 8.47208i | 0.202715 | − | 0.279013i | ||||
\(923\) | 33.3615 | + | 21.7246i | 1.09811 | + | 0.715075i | ||||
\(924\) | −5.52523 | − | 15.0989i | −0.181767 | − | 0.496717i | ||||
\(925\) | −50.4580 | + | 13.5202i | −1.65905 | + | 0.444541i | ||||
\(926\) | 4.07897 | + | 9.16151i | 0.134043 | + | 0.301066i | ||||
\(927\) | 0.153661 | + | 0.722916i | 0.00504688 | + | 0.0237437i | ||||
\(928\) | 38.6729 | − | 75.8999i | 1.26950 | − | 2.49154i | ||||
\(929\) | 4.11581 | + | 10.7221i | 0.135035 | + | 0.351779i | 0.984379 | − | 0.176061i | \(-0.0563354\pi\) |
−0.849344 | + | 0.527840i | \(0.823002\pi\) | |||||||
\(930\) | 23.8668 | + | 62.1753i | 0.782625 | + | 2.03881i | ||||
\(931\) | 6.99752 | − | 13.7334i | 0.229335 | − | 0.450094i | ||||
\(932\) | −30.0783 | − | 141.507i | −0.985248 | − | 4.63523i | ||||
\(933\) | 4.95673 | + | 11.1330i | 0.162276 | + | 0.364478i | ||||
\(934\) | 0.645270 | − | 0.172900i | 0.0211139 | − | 0.00565745i | ||||
\(935\) | 28.3587 | + | 8.07852i | 0.927430 | + | 0.264196i | ||||
\(936\) | 29.8602 | + | 19.4446i | 0.976011 | + | 0.635568i | ||||
\(937\) | 4.60320 | − | 6.33576i | 0.150380 | − | 0.206980i | −0.727180 | − | 0.686446i | \(-0.759170\pi\) |
0.877560 | + | 0.479466i | \(0.159170\pi\) | |||||||
\(938\) | 0.464628 | − | 8.86564i | 0.0151707 | − | 0.289473i | ||||
\(939\) | 30.1119 | + | 6.40047i | 0.982663 | + | 0.208872i | ||||
\(940\) | −41.7719 | + | 93.8212i | −1.36245 | + | 3.06011i | ||||
\(941\) | 6.62740 | − | 41.8437i | 0.216047 | − | 1.36407i | −0.606370 | − | 0.795182i | \(-0.707375\pi\) |
0.822417 | − | 0.568885i | \(-0.192625\pi\) | |||||||
\(942\) | −0.722650 | − | 13.7890i | −0.0235452 | − | 0.449269i | ||||
\(943\) | −27.7202 | − | 18.0017i | −0.902694 | − | 0.586216i | ||||
\(944\) | 184.393 | − | 29.2050i | 6.00149 | − | 0.950543i | ||||
\(945\) | −2.53242 | + | 1.46209i | −0.0823797 | + | 0.0475619i | ||||
\(946\) | −19.2515 | + | 9.43098i | −0.625921 | + | 0.306627i | ||||
\(947\) | 4.89397 | + | 18.2645i | 0.159033 | + | 0.593518i | 0.998726 | + | 0.0504573i | \(0.0160679\pi\) |
−0.839694 | + | 0.543060i | \(0.817265\pi\) | |||||||
\(948\) | 43.9313 | + | 31.9179i | 1.42682 | + | 1.03665i | ||||
\(949\) | 5.86130 | + | 37.3091i | 0.190266 | + | 1.21110i | ||||
\(950\) | −13.3586 | − | 41.1135i | −0.433410 | − | 1.33390i | ||||
\(951\) | 7.85146 | − | 9.69574i | 0.254601 | − | 0.314406i | ||||
\(952\) | 22.4918 | − | 2.36398i | 0.728962 | − | 0.0766170i | ||||
\(953\) | 12.1830 | − | 13.5306i | 0.394647 | − | 0.438300i | −0.512773 | − | 0.858524i | \(-0.671382\pi\) |
0.907420 | + | 0.420224i | \(0.138048\pi\) | |||||||
\(954\) | 8.80229 | + | 17.2755i | 0.284985 | + | 0.559314i | ||||
\(955\) | −43.5583 | + | 35.2728i | −1.40951 | + | 1.14140i | ||||
\(956\) | 9.76583 | − | 36.4466i | 0.315850 | − | 1.17877i | ||||
\(957\) | −7.86944 | + | 8.46835i | −0.254383 | + | 0.273743i | ||||
\(958\) | −18.9110 | − | 32.7549i | −0.610988 | − | 1.05826i | ||||
\(959\) | 6.15505 | − | 2.74040i | 0.198757 | − | 0.0884923i | ||||
\(960\) | 118.565 | + | 6.21372i | 3.82667 | + | 0.200547i | ||||
\(961\) | −19.4512 | + | 6.32009i | −0.627459 | + | 0.203874i | ||||
\(962\) | −60.5452 | − | 54.6526i | −1.95206 | − | 1.76207i | ||||
\(963\) | 3.31444 | + | 4.56193i | 0.106806 | + | 0.147006i | ||||
\(964\) | −115.481 | + | 74.9944i | −3.71940 | + | 2.41541i | ||||
\(965\) | −13.2088 | + | 11.8933i | −0.425208 | + | 0.382859i | ||||
\(966\) | 17.8245 | + | 1.87343i | 0.573494 | + | 0.0602766i | ||||
\(967\) | 16.6532 | − | 16.6532i | 0.535531 | − | 0.535531i | −0.386682 | − | 0.922213i | \(-0.626379\pi\) |
0.922213 | + | 0.386682i | \(0.126379\pi\) | |||||||
\(968\) | 52.3742 | − | 95.2636i | 1.68337 | − | 3.06189i | ||||
\(969\) | −6.28598 | − | 1.68432i | −0.201935 | − | 0.0541083i | ||||
\(970\) | −7.98124 | − | 50.3916i | −0.256262 | − | 1.61798i | ||||
\(971\) | −34.7209 | + | 7.38016i | −1.11425 | + | 0.236840i | −0.728015 | − | 0.685561i | \(-0.759557\pi\) |
−0.386232 | + | 0.922402i | \(0.626224\pi\) | |||||||
\(972\) | −1.16176 | + | 5.46567i | −0.0372636 | + | 0.175312i | ||||
\(973\) | −0.914133 | − | 0.740250i | −0.0293058 | − | 0.0237313i | ||||
\(974\) | 78.7542 | − | 57.2183i | 2.52345 | − | 1.83339i | ||||
\(975\) | 19.8475 | + | 11.4921i | 0.635630 | + | 0.368043i | ||||
\(976\) | 0.769465 | + | 0.250014i | 0.0246300 | + | 0.00800277i | ||||
\(977\) | −54.1606 | − | 20.7903i | −1.73275 | − | 0.665140i | −0.732866 | − | 0.680373i | \(-0.761818\pi\) |
−0.999884 | + | 0.0152322i | \(0.995151\pi\) | |||||||
\(978\) | 13.9392 | + | 8.04781i | 0.445727 | + | 0.257341i | ||||
\(979\) | 17.7700 | + | 28.3285i | 0.567932 | + | 0.905382i | ||||
\(980\) | 83.2005 | + | 83.2005i | 2.65774 | + | 2.65774i | ||||
\(981\) | −1.68242 | − | 2.07762i | −0.0537156 | − | 0.0663332i | ||||
\(982\) | −18.9107 | + | 29.1200i | −0.603466 | + | 0.929255i | ||||
\(983\) | 12.6946 | + | 6.46824i | 0.404896 | + | 0.206305i | 0.644564 | − | 0.764550i | \(-0.277039\pi\) |
−0.239669 | + | 0.970855i | \(0.577039\pi\) | |||||||
\(984\) | 39.7898 | + | 17.7155i | 1.26845 | + | 0.564751i | ||||
\(985\) | −1.25957 | − | 11.9840i | −0.0401331 | − | 0.381841i | ||||
\(986\) | −13.7933 | − | 21.2398i | −0.439267 | − | 0.676412i | ||||
\(987\) | 1.46186 | − | 4.49915i | 0.0465316 | − | 0.143210i | ||||
\(988\) | 31.3297 | − | 38.5900i | 0.996729 | − | 1.22771i | ||||
\(989\) | − | 17.5981i | − | 0.559588i | ||||||
\(990\) | −29.1332 | − | 9.97488i | −0.925915 | − | 0.317022i | ||||
\(991\) | −14.8822 | + | 25.7768i | −0.472750 | + | 0.818827i | −0.999514 | − | 0.0311846i | \(-0.990072\pi\) |
0.526763 | + | 0.850012i | \(0.323405\pi\) | |||||||
\(992\) | −18.3241 | + | 174.342i | −0.581792 | + | 5.53538i | ||||
\(993\) | −27.4868 | + | 14.0052i | −0.872267 | + | 0.444442i | ||||
\(994\) | −26.3510 | + | 1.38100i | −0.835802 | + | 0.0438025i | ||||
\(995\) | 28.7117 | − | 11.0214i | 0.910223 | − | 0.349402i | ||||
\(996\) | 46.6430 | + | 7.38752i | 1.47794 | + | 0.234083i | ||||
\(997\) | 6.54100 | + | 5.88954i | 0.207155 | + | 0.186524i | 0.766177 | − | 0.642629i | \(-0.222157\pi\) |
−0.559022 | + | 0.829153i | \(0.688823\pi\) | |||||||
\(998\) | −50.0582 | − | 55.5953i | −1.58456 | − | 1.75984i | ||||
\(999\) | 2.94304 | − | 7.66689i | 0.0931138 | − | 0.242570i |
(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 | 429.2.bs.b.7.1 | ✓ | 224 | |
11.8 | odd | 10 | inner | 429.2.bs.b.85.1 | yes | 224 | |
13.2 | odd | 12 | inner | 429.2.bs.b.106.1 | yes | 224 | |
143.41 | even | 60 | inner | 429.2.bs.b.184.1 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
429.2.bs.b.7.1 | ✓ | 224 | 1.1 | even | 1 | trivial | |
429.2.bs.b.85.1 | yes | 224 | 11.8 | odd | 10 | inner | |
429.2.bs.b.106.1 | yes | 224 | 13.2 | odd | 12 | inner | |
429.2.bs.b.184.1 | yes | 224 | 143.41 | even | 60 | inner |