Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(47,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([7, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.47");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.bd (of order \(42\), degree \(12\), 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: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 47.47 | ||
Character | \(\chi\) | \(=\) | 441.47 |
Dual form | 441.2.bd.a.122.47 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{5}{42}\right)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.41528 | + | 1.52531i | 1.00075 | + | 1.07856i | 0.996909 | + | 0.0785644i | \(0.0250336\pi\) |
0.00384559 | + | 0.999993i | \(0.498776\pi\) | |||||||
\(3\) | 1.35556 | + | 1.07818i | 0.782630 | + | 0.622487i | ||||
\(4\) | −0.174090 | + | 2.32308i | −0.0870452 | + | 1.16154i | ||||
\(5\) | −0.916315 | − | 1.14902i | −0.409789 | − | 0.513859i | 0.533515 | − | 0.845791i | \(-0.320871\pi\) |
−0.943303 | + | 0.331932i | \(0.892300\pi\) | |||||||
\(6\) | 0.273934 | + | 3.59357i | 0.111833 | + | 1.46707i | ||||
\(7\) | 0.192616 | + | 2.63873i | 0.0728019 | + | 0.997346i | ||||
\(8\) | −0.536180 | + | 0.427589i | −0.189568 | + | 0.151176i | ||||
\(9\) | 0.675059 | + | 2.92306i | 0.225020 | + | 0.974354i | ||||
\(10\) | 0.455773 | − | 3.02386i | 0.144128 | − | 0.956227i | ||||
\(11\) | −0.209086 | + | 0.0477225i | −0.0630418 | + | 0.0143889i | −0.253925 | − | 0.967224i | \(-0.581722\pi\) |
0.190884 | + | 0.981613i | \(0.438865\pi\) | |||||||
\(12\) | −2.74068 | + | 2.96136i | −0.791167 | + | 0.854870i | ||||
\(13\) | −0.777880 | − | 0.838355i | −0.215745 | − | 0.232518i | 0.615902 | − | 0.787823i | \(-0.288792\pi\) |
−0.831647 | + | 0.555305i | \(0.812601\pi\) | |||||||
\(14\) | −3.75228 | + | 4.02834i | −1.00284 | + | 1.07662i | ||||
\(15\) | −0.00326320 | − | 2.54552i | −0.000842555 | − | 0.657249i | ||||
\(16\) | 3.19609 | + | 0.481733i | 0.799022 | + | 0.120433i | ||||
\(17\) | −0.231084 | − | 3.08361i | −0.0560462 | − | 0.747884i | −0.952459 | − | 0.304665i | \(-0.901455\pi\) |
0.896413 | − | 0.443219i | \(-0.146164\pi\) | |||||||
\(18\) | −3.50318 | + | 5.16663i | −0.825707 | + | 1.21779i | ||||
\(19\) | −2.52298 | − | 1.45664i | −0.578811 | − | 0.334177i | 0.181850 | − | 0.983326i | \(-0.441792\pi\) |
−0.760661 | + | 0.649150i | \(0.775125\pi\) | |||||||
\(20\) | 2.82879 | − | 1.92864i | 0.632537 | − | 0.431256i | ||||
\(21\) | −2.58392 | + | 3.78462i | −0.563858 | + | 0.825872i | ||||
\(22\) | −0.368707 | − | 0.251380i | −0.0786085 | − | 0.0535944i | ||||
\(23\) | 0.271037 | + | 0.562813i | 0.0565151 | + | 0.117355i | 0.927314 | − | 0.374285i | \(-0.122112\pi\) |
−0.870799 | + | 0.491640i | \(0.836398\pi\) | |||||||
\(24\) | −1.18784 | + | 0.00152274i | −0.242467 | + | 0.000310828i | ||||
\(25\) | 0.631984 | − | 2.76890i | 0.126397 | − | 0.553781i | ||||
\(26\) | 0.177833 | − | 2.37302i | 0.0348759 | − | 0.465387i | ||||
\(27\) | −2.23650 | + | 4.69021i | −0.430416 | + | 0.902631i | ||||
\(28\) | −6.16350 | − | 0.0119171i | −1.16479 | − | 0.00225212i | ||||
\(29\) | −1.23835 | − | 1.81632i | −0.229955 | − | 0.337282i | 0.693868 | − | 0.720102i | \(-0.255905\pi\) |
−0.923823 | + | 0.382820i | \(0.874953\pi\) | |||||||
\(30\) | 3.87808 | − | 3.60760i | 0.708038 | − | 0.658654i | ||||
\(31\) | 1.55633 | + | 0.898547i | 0.279525 | + | 0.161384i | 0.633208 | − | 0.773981i | \(-0.281738\pi\) |
−0.353683 | + | 0.935365i | \(0.615071\pi\) | |||||||
\(32\) | 4.56122 | + | 6.69008i | 0.806318 | + | 1.18265i | ||||
\(33\) | −0.334881 | − | 0.160742i | −0.0582953 | − | 0.0279815i | ||||
\(34\) | 4.37641 | − | 4.71664i | 0.750547 | − | 0.808898i | ||||
\(35\) | 2.85547 | − | 2.63923i | 0.482662 | − | 0.446111i | ||||
\(36\) | −6.90802 | + | 1.05934i | −1.15134 | + | 0.176556i | ||||
\(37\) | −0.0841549 | + | 0.0573758i | −0.0138350 | + | 0.00943253i | −0.570218 | − | 0.821494i | \(-0.693141\pi\) |
0.556383 | + | 0.830926i | \(0.312189\pi\) | |||||||
\(38\) | −1.34889 | − | 5.90988i | −0.218819 | − | 0.958709i | ||||
\(39\) | −0.150562 | − | 1.97513i | −0.0241092 | − | 0.316274i | ||||
\(40\) | 0.982620 | + | 0.224277i | 0.155366 | + | 0.0354612i | ||||
\(41\) | 0.0371309 | − | 0.0946080i | 0.00579887 | − | 0.0147753i | −0.927945 | − | 0.372717i | \(-0.878426\pi\) |
0.933744 | + | 0.357942i | \(0.116521\pi\) | |||||||
\(42\) | −9.42969 | + | 1.41501i | −1.45503 | + | 0.218342i | ||||
\(43\) | 0.816884 | + | 2.08139i | 0.124574 | + | 0.317408i | 0.979532 | − | 0.201288i | \(-0.0645127\pi\) |
−0.854958 | + | 0.518696i | \(0.826417\pi\) | |||||||
\(44\) | −0.0744631 | − | 0.494030i | −0.0112257 | − | 0.0744779i | ||||
\(45\) | 2.74010 | − | 3.45411i | 0.408470 | − | 0.514908i | ||||
\(46\) | −0.474872 | + | 1.20995i | −0.0700161 | + | 0.178398i | ||||
\(47\) | 7.30126 | − | 6.77458i | 1.06500 | − | 0.988175i | 0.0650460 | − | 0.997882i | \(-0.479281\pi\) |
0.999953 | + | 0.00970774i | \(0.00309012\pi\) | |||||||
\(48\) | 3.81308 | + | 4.09897i | 0.550371 | + | 0.591636i | ||||
\(49\) | −6.92580 | + | 1.01652i | −0.989400 | + | 0.145217i | ||||
\(50\) | 5.11787 | − | 2.95481i | 0.723777 | − | 0.417873i | ||||
\(51\) | 3.01143 | − | 4.42915i | 0.421685 | − | 0.620205i | ||||
\(52\) | 2.08298 | − | 1.66112i | 0.288858 | − | 0.230356i | ||||
\(53\) | 7.89847 | − | 11.5849i | 1.08494 | − | 1.59131i | 0.319756 | − | 0.947500i | \(-0.396399\pi\) |
0.765183 | − | 0.643813i | \(-0.222649\pi\) | |||||||
\(54\) | −10.3193 | + | 3.22660i | −1.40428 | + | 0.439084i | ||||
\(55\) | 0.246423 | + | 0.196516i | 0.0332276 | + | 0.0264982i | ||||
\(56\) | −1.23157 | − | 1.33247i | −0.164575 | − | 0.178059i | ||||
\(57\) | −1.84951 | − | 4.69478i | −0.244974 | − | 0.621839i | ||||
\(58\) | 1.01784 | − | 4.45946i | 0.133649 | − | 0.585556i | ||||
\(59\) | −4.49763 | − | 11.4598i | −0.585542 | − | 1.49194i | −0.849599 | − | 0.527429i | \(-0.823156\pi\) |
0.264058 | − | 0.964507i | \(-0.414939\pi\) | |||||||
\(60\) | 5.91400 | + | 0.435569i | 0.763494 | + | 0.0562318i | ||||
\(61\) | −5.45990 | + | 0.409163i | −0.699069 | + | 0.0523880i | −0.419524 | − | 0.907744i | \(-0.637803\pi\) |
−0.279546 | + | 0.960132i | \(0.590184\pi\) | |||||||
\(62\) | 0.832080 | + | 3.64558i | 0.105674 | + | 0.462989i | ||||
\(63\) | −7.58315 | + | 2.34433i | −0.955387 | + | 0.295357i | ||||
\(64\) | −2.31058 | + | 10.1233i | −0.288823 | + | 1.26541i | ||||
\(65\) | −0.250506 | + | 1.66200i | −0.0310715 | + | 0.206146i | ||||
\(66\) | −0.228770 | − | 0.738291i | −0.0281596 | − | 0.0908774i | ||||
\(67\) | −5.90314 | + | 10.2245i | −0.721184 | + | 1.24913i | 0.239342 | + | 0.970935i | \(0.423068\pi\) |
−0.960526 | + | 0.278191i | \(0.910265\pi\) | |||||||
\(68\) | 7.20368 | 0.873575 | ||||||||
\(69\) | −0.239409 | + | 1.05515i | −0.0288214 | + | 0.127025i | ||||
\(70\) | 8.06693 | + | 0.620220i | 0.964182 | + | 0.0741305i | ||||
\(71\) | 3.12472 | + | 6.48855i | 0.370836 | + | 0.770049i | 0.999974 | − | 0.00724474i | \(-0.00230609\pi\) |
−0.629138 | + | 0.777294i | \(0.716592\pi\) | |||||||
\(72\) | −1.61182 | − | 1.27864i | −0.189955 | − | 0.150689i | ||||
\(73\) | −2.76559 | − | 8.96582i | −0.323688 | − | 1.04937i | −0.960484 | − | 0.278337i | \(-0.910217\pi\) |
0.636796 | − | 0.771032i | \(-0.280259\pi\) | |||||||
\(74\) | −0.206619 | − | 0.0471594i | −0.0240189 | − | 0.00548217i | ||||
\(75\) | 3.84206 | − | 3.07201i | 0.443643 | − | 0.354725i | ||||
\(76\) | 3.82312 | − | 5.60748i | 0.438542 | − | 0.643222i | ||||
\(77\) | −0.166200 | − | 0.542529i | −0.0189402 | − | 0.0618269i | ||||
\(78\) | 2.79960 | − | 3.02502i | 0.316992 | − | 0.342516i | ||||
\(79\) | 5.16065 | + | 8.93850i | 0.580618 | + | 1.00566i | 0.995406 | + | 0.0957418i | \(0.0305223\pi\) |
−0.414788 | + | 0.909918i | \(0.636144\pi\) | |||||||
\(80\) | −2.37510 | − | 4.11380i | −0.265545 | − | 0.459937i | ||||
\(81\) | −8.08859 | + | 3.94648i | −0.898732 | + | 0.438498i | ||||
\(82\) | 0.196857 | − | 0.0772608i | 0.0217392 | − | 0.00853203i | ||||
\(83\) | 0.623456 | + | 0.578483i | 0.0684332 | + | 0.0634967i | 0.713648 | − | 0.700505i | \(-0.247042\pi\) |
−0.645215 | + | 0.764001i | \(0.723232\pi\) | |||||||
\(84\) | −8.34212 | − | 6.66152i | −0.910200 | − | 0.726831i | ||||
\(85\) | −3.33139 | + | 3.09108i | −0.361340 | + | 0.335274i | ||||
\(86\) | −2.01864 | + | 4.19175i | −0.217675 | + | 0.452008i | ||||
\(87\) | 0.279672 | − | 3.79728i | 0.0299840 | − | 0.407111i | ||||
\(88\) | 0.0917020 | − | 0.114991i | 0.00977547 | − | 0.0122580i | ||||
\(89\) | 10.4703 | + | 9.71502i | 1.10985 | + | 1.02979i | 0.999355 | + | 0.0359133i | \(0.0114340\pi\) |
0.110495 | + | 0.993877i | \(0.464756\pi\) | |||||||
\(90\) | 9.14659 | − | 0.709029i | 0.964135 | − | 0.0747383i | ||||
\(91\) | 2.06236 | − | 2.21410i | 0.216194 | − | 0.232100i | ||||
\(92\) | −1.35464 | + | 0.531658i | −0.141231 | + | 0.0554292i | ||||
\(93\) | 1.14090 | + | 2.89603i | 0.118305 | + | 0.300305i | ||||
\(94\) | 20.6667 | + | 1.54875i | 2.13161 | + | 0.159742i | ||||
\(95\) | 0.638128 | + | 4.23370i | 0.0654706 | + | 0.434369i | ||||
\(96\) | −1.03012 | + | 13.9866i | −0.105136 | + | 1.42750i | ||||
\(97\) | 0.374895 | + | 0.216446i | 0.0380648 | + | 0.0219767i | 0.518912 | − | 0.854828i | \(-0.326337\pi\) |
−0.480847 | + | 0.876805i | \(0.659671\pi\) | |||||||
\(98\) | −11.3525 | − | 9.12533i | −1.14677 | − | 0.921797i | ||||
\(99\) | −0.280641 | − | 0.578956i | −0.0282055 | − | 0.0581872i | ||||
\(100\) | 6.32235 | + | 1.95019i | 0.632235 | + | 0.195019i | ||||
\(101\) | −6.23678 | − | 7.82067i | −0.620583 | − | 0.778186i | 0.367844 | − | 0.929888i | \(-0.380096\pi\) |
−0.988426 | + | 0.151701i | \(0.951525\pi\) | |||||||
\(102\) | 11.0178 | − | 1.67512i | 1.09093 | − | 0.165862i | ||||
\(103\) | −9.41902 | + | 7.51141i | −0.928083 | + | 0.740122i | −0.965833 | − | 0.259166i | \(-0.916552\pi\) |
0.0377497 | + | 0.999287i | \(0.487981\pi\) | |||||||
\(104\) | 0.775555 | + | 0.116896i | 0.0760494 | + | 0.0114626i | ||||
\(105\) | 6.71630 | − | 0.498917i | 0.655444 | − | 0.0486893i | ||||
\(106\) | 28.8492 | − | 4.34831i | 2.80208 | − | 0.422345i | ||||
\(107\) | −6.16654 | + | 6.64595i | −0.596142 | + | 0.642488i | −0.956985 | − | 0.290139i | \(-0.906299\pi\) |
0.360843 | + | 0.932627i | \(0.382489\pi\) | |||||||
\(108\) | −10.5064 | − | 6.01209i | −1.01097 | − | 0.578514i | ||||
\(109\) | −6.10597 | + | 5.66551i | −0.584845 | + | 0.542657i | −0.916134 | − | 0.400872i | \(-0.868707\pi\) |
0.331288 | + | 0.943530i | \(0.392517\pi\) | |||||||
\(110\) | 0.0490102 | + | 0.653996i | 0.00467294 | + | 0.0623561i | ||||
\(111\) | −0.175938 | − | 0.0129579i | −0.0166993 | − | 0.00122991i | ||||
\(112\) | −0.655547 | + | 8.52641i | −0.0619433 | + | 0.805670i | ||||
\(113\) | −1.13145 | − | 3.66806i | −0.106437 | − | 0.345062i | 0.886650 | − | 0.462442i | \(-0.153027\pi\) |
−0.993087 | + | 0.117380i | \(0.962550\pi\) | |||||||
\(114\) | 4.54341 | − | 9.46552i | 0.425530 | − | 0.886527i | ||||
\(115\) | 0.398331 | − | 0.827142i | 0.0371445 | − | 0.0771314i | ||||
\(116\) | 4.43503 | − | 2.56057i | 0.411782 | − | 0.237743i | ||||
\(117\) | 1.92545 | − | 2.83973i | 0.178008 | − | 0.262533i | ||||
\(118\) | 11.1143 | − | 23.0791i | 1.02315 | − | 2.12460i | ||||
\(119\) | 8.09230 | − | 1.20372i | 0.741820 | − | 0.110345i | ||||
\(120\) | 1.09019 | + | 1.36346i | 0.0995198 | + | 0.124466i | ||||
\(121\) | −9.86922 | + | 4.75276i | −0.897202 | + | 0.432070i | ||||
\(122\) | −8.35140 | − | 7.74897i | −0.756100 | − | 0.701558i | ||||
\(123\) | 0.152337 | − | 0.0882126i | 0.0137358 | − | 0.00795386i | ||||
\(124\) | −2.35834 | + | 3.45904i | −0.211785 | + | 0.310631i | ||||
\(125\) | −10.3812 | + | 4.99932i | −0.928523 | + | 0.447153i | ||||
\(126\) | −14.3081 | − | 8.24877i | −1.27467 | − | 0.734859i | ||||
\(127\) | 14.3131 | + | 6.89282i | 1.27008 | + | 0.611638i | 0.942822 | − | 0.333297i | \(-0.108161\pi\) |
0.327258 | + | 0.944935i | \(0.393875\pi\) | |||||||
\(128\) | −4.68684 | + | 2.70595i | −0.414262 | + | 0.239174i | ||||
\(129\) | −1.13678 | + | 3.70218i | −0.100088 | + | 0.325959i | ||||
\(130\) | −2.88960 | + | 1.97010i | −0.253435 | + | 0.172789i | ||||
\(131\) | −1.86698 | + | 2.34112i | −0.163119 | + | 0.204544i | −0.856673 | − | 0.515860i | \(-0.827472\pi\) |
0.693554 | + | 0.720404i | \(0.256044\pi\) | |||||||
\(132\) | 0.431714 | − | 0.749970i | 0.0375759 | − | 0.0652765i | ||||
\(133\) | 3.35772 | − | 6.93803i | 0.291151 | − | 0.601604i | ||||
\(134\) | −23.9502 | + | 5.46648i | −2.06898 | + | 0.472232i | ||||
\(135\) | 7.43850 | − | 1.72791i | 0.640204 | − | 0.148715i | ||||
\(136\) | 1.44242 | + | 1.55456i | 0.123686 | + | 0.133302i | ||||
\(137\) | −12.9032 | − | 10.2899i | −1.10239 | − | 0.879129i | −0.109017 | − | 0.994040i | \(-0.534770\pi\) |
−0.993376 | + | 0.114911i | \(0.963342\pi\) | |||||||
\(138\) | −1.94826 | + | 1.12816i | −0.165847 | + | 0.0960356i | ||||
\(139\) | −13.6402 | − | 5.35338i | −1.15695 | − | 0.454067i | −0.292239 | − | 0.956345i | \(-0.594400\pi\) |
−0.864706 | + | 0.502278i | \(0.832495\pi\) | |||||||
\(140\) | 5.63402 | + | 7.09293i | 0.476162 | + | 0.599462i | ||||
\(141\) | 17.2015 | − | 1.31125i | 1.44863 | − | 0.110427i | ||||
\(142\) | −5.47469 | + | 13.9493i | −0.459426 | + | 1.17060i | ||||
\(143\) | 0.202652 | + | 0.138166i | 0.0169466 | + | 0.0115540i | ||||
\(144\) | 0.749415 | + | 9.66757i | 0.0624512 | + | 0.805631i | ||||
\(145\) | −0.952277 | + | 3.08721i | −0.0790823 | + | 0.256379i | ||||
\(146\) | 9.76156 | − | 16.9075i | 0.807873 | − | 1.39928i | ||||
\(147\) | −10.4843 | − | 6.08930i | −0.864730 | − | 0.502237i | ||||
\(148\) | −0.118638 | − | 0.205487i | −0.00975197 | − | 0.0168909i | ||||
\(149\) | −12.3470 | + | 2.81813i | −1.01151 | + | 0.230870i | −0.695992 | − | 0.718050i | \(-0.745035\pi\) |
−0.315517 | + | 0.948920i | \(0.602178\pi\) | |||||||
\(150\) | 10.1234 | + | 1.51258i | 0.826570 | + | 0.123502i | ||||
\(151\) | 7.27259 | − | 3.50229i | 0.591835 | − | 0.285013i | −0.113896 | − | 0.993493i | \(-0.536333\pi\) |
0.705731 | + | 0.708480i | \(0.250619\pi\) | |||||||
\(152\) | 1.97561 | − | 0.297776i | 0.160244 | − | 0.0241528i | ||||
\(153\) | 8.85758 | − | 2.75709i | 0.716093 | − | 0.222898i | ||||
\(154\) | 0.592305 | − | 1.02134i | 0.0477293 | − | 0.0823017i | ||||
\(155\) | −0.393637 | − | 2.61161i | −0.0316177 | − | 0.209770i | ||||
\(156\) | 4.61459 | − | 0.00591563i | 0.369463 | − | 0.000473629i | ||||
\(157\) | −2.49536 | + | 0.979357i | −0.199151 | + | 0.0781612i | −0.462820 | − | 0.886452i | \(-0.653163\pi\) |
0.263669 | + | 0.964613i | \(0.415067\pi\) | |||||||
\(158\) | −6.33022 | + | 20.5221i | −0.503605 | + | 1.63265i | ||||
\(159\) | 23.1975 | − | 7.18805i | 1.83968 | − | 0.570049i | ||||
\(160\) | 3.50754 | − | 11.3712i | 0.277296 | − | 0.898970i | ||||
\(161\) | −1.43291 | + | 0.823599i | −0.112929 | + | 0.0649087i | ||||
\(162\) | −17.4672 | − | 6.75223i | −1.37236 | − | 0.530505i | ||||
\(163\) | 2.69131 | + | 6.85735i | 0.210800 | + | 0.537109i | 0.996694 | − | 0.0812525i | \(-0.0258920\pi\) |
−0.785894 | + | 0.618362i | \(0.787797\pi\) | |||||||
\(164\) | 0.213318 | + | 0.102728i | 0.0166573 | + | 0.00802173i | ||||
\(165\) | 0.122161 | + | 0.532076i | 0.00951019 | + | 0.0414220i | ||||
\(166\) | 1.76968i | 0.137354i | ||||||||
\(167\) | −0.648306 | − | 8.65105i | −0.0501674 | − | 0.669438i | −0.964434 | − | 0.264324i | \(-0.914851\pi\) |
0.914266 | − | 0.405114i | \(-0.132768\pi\) | |||||||
\(168\) | −0.232815 | − | 3.13409i | −0.0179620 | − | 0.241801i | ||||
\(169\) | 0.873749 | − | 11.6594i | 0.0672115 | − | 0.896875i | ||||
\(170\) | −9.42970 | − | 0.706658i | −0.723225 | − | 0.0541982i | ||||
\(171\) | 2.55470 | − | 8.35814i | 0.195362 | − | 0.639163i | ||||
\(172\) | −4.97743 | + | 1.53533i | −0.379525 | + | 0.117068i | ||||
\(173\) | 3.38474 | + | 2.30768i | 0.257337 | + | 0.175449i | 0.685116 | − | 0.728434i | \(-0.259751\pi\) |
−0.427779 | + | 0.903883i | \(0.640704\pi\) | |||||||
\(174\) | 6.18784 | − | 4.94763i | 0.469099 | − | 0.375079i | ||||
\(175\) | 7.42812 | + | 1.13430i | 0.561513 | + | 0.0857452i | ||||
\(176\) | −0.691247 | + | 0.0518018i | −0.0521047 | + | 0.00390471i | ||||
\(177\) | 6.25890 | − | 20.3836i | 0.470448 | − | 1.53213i | ||||
\(178\) | 29.7199i | 2.22760i | ||||||||
\(179\) | 3.94954 | − | 0.295977i | 0.295203 | − | 0.0221224i | 0.0736944 | − | 0.997281i | \(-0.476521\pi\) |
0.221508 | + | 0.975158i | \(0.428902\pi\) | |||||||
\(180\) | 7.54713 | + | 6.96679i | 0.562530 | + | 0.519274i | ||||
\(181\) | 15.4784 | + | 3.53285i | 1.15050 | + | 0.262594i | 0.754908 | − | 0.655831i | \(-0.227682\pi\) |
0.395594 | + | 0.918426i | \(0.370539\pi\) | |||||||
\(182\) | 6.29600 | + | 0.0121733i | 0.466691 | + | 0.000902345i | ||||
\(183\) | −7.84235 | − | 5.33211i | −0.579723 | − | 0.394161i | ||||
\(184\) | −0.385977 | − | 0.185877i | −0.0284546 | − | 0.0137030i | ||||
\(185\) | 0.143039 | + | 0.0441216i | 0.0105164 | + | 0.00324388i | ||||
\(186\) | −2.80266 | + | 5.83892i | −0.205501 | + | 0.428130i | ||||
\(187\) | 0.195474 | + | 0.633711i | 0.0142945 | + | 0.0463415i | ||||
\(188\) | 14.4668 | + | 18.1408i | 1.05510 | + | 1.32305i | ||||
\(189\) | −12.8070 | − | 4.99813i | −0.931571 | − | 0.363560i | ||||
\(190\) | −5.55458 | + | 6.96522i | −0.402972 | + | 0.505310i | ||||
\(191\) | 4.38430 | + | 1.72071i | 0.317237 | + | 0.124506i | 0.518617 | − | 0.855007i | \(-0.326447\pi\) |
−0.201380 | + | 0.979513i | \(0.564542\pi\) | |||||||
\(192\) | −14.0469 | + | 11.2315i | −1.01375 | + | 0.810563i | ||||
\(193\) | −7.90304 | + | 1.19119i | −0.568873 | + | 0.0857439i | −0.427180 | − | 0.904167i | \(-0.640493\pi\) |
−0.141694 | + | 0.989911i | \(0.545255\pi\) | |||||||
\(194\) | 0.200435 | + | 0.878163i | 0.0143904 | + | 0.0630484i | ||||
\(195\) | −2.13151 | + | 1.98284i | −0.152640 | + | 0.141994i | ||||
\(196\) | −1.15574 | − | 16.2661i | −0.0825529 | − | 1.16187i | ||||
\(197\) | 27.0629i | 1.92815i | 0.265623 | + | 0.964077i | \(0.414422\pi\) | ||||
−0.265623 | + | 0.964077i | \(0.585578\pi\) | |||||||
\(198\) | 0.485901 | − | 1.24745i | 0.0345314 | − | 0.0886524i | ||||
\(199\) | −17.0149 | − | 6.67786i | −1.20616 | − | 0.473381i | −0.324776 | − | 0.945791i | \(-0.605289\pi\) |
−0.881379 | + | 0.472410i | \(0.843384\pi\) | |||||||
\(200\) | 0.845096 | + | 1.75486i | 0.0597573 | + | 0.124087i | ||||
\(201\) | −19.0259 | + | 7.49529i | −1.34199 | + | 0.528677i | ||||
\(202\) | 3.10216 | − | 20.5815i | 0.218267 | − | 1.44811i | ||||
\(203\) | 4.55425 | − | 3.61751i | 0.319646 | − | 0.253899i | ||||
\(204\) | 9.76499 | + | 7.76686i | 0.683686 | + | 0.543789i | ||||
\(205\) | −0.142730 | + | 0.0440265i | −0.00996873 | + | 0.00307494i | ||||
\(206\) | −24.7878 | − | 3.73616i | −1.72705 | − | 0.260310i | ||||
\(207\) | −1.46217 | + | 1.17219i | −0.101628 | + | 0.0814728i | ||||
\(208\) | −2.08231 | − | 3.05419i | −0.144382 | − | 0.211770i | ||||
\(209\) | 0.597034 | + | 0.184160i | 0.0412977 | + | 0.0127386i | ||||
\(210\) | 10.2665 | + | 9.53834i | 0.708453 | + | 0.658208i | ||||
\(211\) | 3.15751 | − | 0.973964i | 0.217372 | − | 0.0670504i | −0.184156 | − | 0.982897i | \(-0.558955\pi\) |
0.401528 | + | 0.915847i | \(0.368479\pi\) | |||||||
\(212\) | 25.5376 | + | 20.3656i | 1.75393 | + | 1.39871i | ||||
\(213\) | −2.76009 | + | 12.1646i | −0.189118 | + | 0.833504i | ||||
\(214\) | −18.8645 | −1.28955 | ||||||||
\(215\) | 1.64304 | − | 2.84582i | 0.112054 | − | 0.194084i | ||||
\(216\) | −0.806313 | − | 3.47110i | −0.0548627 | − | 0.236178i | ||||
\(217\) | −2.07125 | + | 4.27981i | −0.140606 | + | 0.290532i | ||||
\(218\) | −17.2833 | − | 1.29521i | −1.17057 | − | 0.0877224i | ||||
\(219\) | 5.91785 | − | 15.1355i | 0.399891 | − | 1.02276i | ||||
\(220\) | −0.499421 | + | 0.538247i | −0.0336709 | + | 0.0362886i | ||||
\(221\) | −2.40540 | + | 2.59241i | −0.161805 | + | 0.174384i | ||||
\(222\) | −0.229237 | − | 0.286699i | −0.0153854 | − | 0.0192420i | ||||
\(223\) | −14.7406 | − | 1.10466i | −0.987106 | − | 0.0739734i | −0.428618 | − | 0.903486i | \(-0.640999\pi\) |
−0.558488 | + | 0.829513i | \(0.688618\pi\) | |||||||
\(224\) | −16.7748 | + | 13.3244i | −1.12081 | + | 0.890277i | ||||
\(225\) | 8.52031 | − | 0.0218451i | 0.568021 | − | 0.00145634i | ||||
\(226\) | 3.99361 | − | 6.91714i | 0.265651 | − | 0.460121i | ||||
\(227\) | −13.0318 | −0.864950 | −0.432475 | − | 0.901646i | \(-0.642360\pi\) | ||||
−0.432475 | + | 0.901646i | \(0.642360\pi\) | |||||||
\(228\) | 11.2283 | − | 3.47925i | 0.743613 | − | 0.230419i | ||||
\(229\) | 0.622929 | + | 0.496769i | 0.0411643 | + | 0.0328274i | 0.643856 | − | 0.765147i | \(-0.277334\pi\) |
−0.602692 | + | 0.797974i | \(0.705905\pi\) | |||||||
\(230\) | 1.82540 | − | 0.563061i | 0.120363 | − | 0.0371271i | ||||
\(231\) | 0.359650 | − | 0.914621i | 0.0236633 | − | 0.0601777i | ||||
\(232\) | 1.44061 | + | 0.444371i | 0.0945809 | + | 0.0291744i | ||||
\(233\) | −12.6141 | − | 18.5014i | −0.826374 | − | 1.21207i | −0.974786 | − | 0.223143i | \(-0.928368\pi\) |
0.148411 | − | 0.988926i | \(-0.452584\pi\) | |||||||
\(234\) | 7.05652 | − | 1.08211i | 0.461299 | − | 0.0707397i | ||||
\(235\) | −14.4744 | − | 2.18167i | −0.944207 | − | 0.142316i | ||||
\(236\) | 27.4049 | − | 8.45330i | 1.78391 | − | 0.550263i | ||||
\(237\) | −2.64177 | + | 17.6807i | −0.171601 | + | 1.14849i | ||||
\(238\) | 13.2889 | + | 10.6397i | 0.861393 | + | 0.689667i | ||||
\(239\) | 0.183872 | − | 1.21991i | 0.0118937 | − | 0.0789096i | −0.982097 | − | 0.188378i | \(-0.939677\pi\) |
0.993990 | + | 0.109469i | \(0.0349150\pi\) | |||||||
\(240\) | 1.21583 | − | 8.13727i | 0.0784815 | − | 0.525259i | ||||
\(241\) | 12.1746 | + | 25.2808i | 0.784236 | + | 1.62848i | 0.777807 | + | 0.628503i | \(0.216332\pi\) |
0.00642866 | + | 0.999979i | \(0.497954\pi\) | |||||||
\(242\) | −21.2172 | − | 8.32712i | −1.36389 | − | 0.535288i | ||||
\(243\) | −15.2195 | − | 3.37128i | −0.976334 | − | 0.216267i | ||||
\(244\) | − | 12.7550i | − | 0.816556i | ||||||
\(245\) | 7.51422 | + | 7.02645i | 0.480066 | + | 0.448903i | ||||
\(246\) | 0.350152 | + | 0.107516i | 0.0223249 | + | 0.00685498i | ||||
\(247\) | 0.741390 | + | 3.24824i | 0.0471735 | + | 0.206681i | ||||
\(248\) | −1.21868 | + | 0.183687i | −0.0773864 | + | 0.0116641i | ||||
\(249\) | 0.221421 | + | 1.45636i | 0.0140320 | + | 0.0922932i | ||||
\(250\) | −22.3178 | − | 8.75910i | −1.41150 | − | 0.553974i | ||||
\(251\) | −11.9035 | + | 14.9266i | −0.751345 | + | 0.942157i | −0.999648 | − | 0.0265256i | \(-0.991556\pi\) |
0.248303 | + | 0.968682i | \(0.420127\pi\) | |||||||
\(252\) | −4.12590 | − | 18.0244i | −0.259907 | − | 1.13543i | ||||
\(253\) | −0.0835288 | − | 0.104742i | −0.00525141 | − | 0.00658506i | ||||
\(254\) | 9.74334 | + | 31.5871i | 0.611352 | + | 1.98195i | ||||
\(255\) | −7.84862 | + | 0.598291i | −0.491499 | + | 0.0374665i | ||||
\(256\) | 9.08407 | + | 2.80206i | 0.567754 | + | 0.175129i | ||||
\(257\) | 7.49858 | + | 3.61112i | 0.467748 | + | 0.225256i | 0.652885 | − | 0.757457i | \(-0.273558\pi\) |
−0.185137 | + | 0.982713i | \(0.559273\pi\) | |||||||
\(258\) | −7.25583 | + | 3.50569i | −0.451728 | + | 0.218255i | ||||
\(259\) | −0.167609 | − | 0.211011i | −0.0104147 | − | 0.0131116i | ||||
\(260\) | −3.81734 | − | 0.871283i | −0.236741 | − | 0.0540347i | ||||
\(261\) | 4.47326 | − | 4.84588i | 0.276888 | − | 0.299953i | ||||
\(262\) | −6.21323 | + | 0.465617i | −0.383854 | + | 0.0287659i | ||||
\(263\) | − | 27.5449i | − | 1.69849i | −0.527999 | − | 0.849245i | \(-0.677058\pi\) | ||
0.527999 | − | 0.849245i | \(-0.322942\pi\) | |||||||
\(264\) | 0.248288 | − | 0.0570050i | 0.0152811 | − | 0.00350842i | ||||
\(265\) | −20.5488 | + | 1.53992i | −1.26231 | + | 0.0945967i | ||||
\(266\) | 15.3348 | − | 4.69770i | 0.940235 | − | 0.288034i | ||||
\(267\) | 3.71854 | + | 24.4581i | 0.227571 | + | 1.49681i | ||||
\(268\) | −22.7247 | − | 15.4934i | −1.38813 | − | 0.946413i | ||||
\(269\) | 26.9845 | − | 8.32362i | 1.64527 | − | 0.507500i | 0.672665 | − | 0.739947i | \(-0.265149\pi\) |
0.972609 | + | 0.232447i | \(0.0746732\pi\) | |||||||
\(270\) | 13.1632 | + | 8.90054i | 0.801085 | + | 0.541669i | ||||
\(271\) | 21.1748 | + | 1.58683i | 1.28628 | + | 0.0963933i | 0.700251 | − | 0.713897i | \(-0.253072\pi\) |
0.586029 | + | 0.810290i | \(0.300691\pi\) | |||||||
\(272\) | 0.746909 | − | 9.96680i | 0.0452880 | − | 0.604326i | ||||
\(273\) | 5.18284 | − | 0.777733i | 0.313679 | − | 0.0470706i | ||||
\(274\) | −2.56627 | − | 34.2445i | −0.155034 | − | 2.06879i | ||||
\(275\) | 0.609099i | 0.0367300i | ||||||||
\(276\) | −2.40952 | − | 0.739856i | −0.145036 | − | 0.0445341i | ||||
\(277\) | −26.8723 | − | 12.9410i | −1.61460 | − | 0.777549i | −0.614661 | − | 0.788791i | \(-0.710707\pi\) |
−0.999937 | + | 0.0112422i | \(0.996421\pi\) | |||||||
\(278\) | −11.1391 | − | 28.3820i | −0.668080 | − | 1.70224i | ||||
\(279\) | −1.57589 | + | 5.15582i | −0.0943464 | + | 0.308671i | ||||
\(280\) | −0.402537 | + | 2.63607i | −0.0240562 | + | 0.157535i | ||||
\(281\) | −6.29970 | + | 20.4231i | −0.375809 | + | 1.21834i | 0.548323 | + | 0.836267i | \(0.315267\pi\) |
−0.924131 | + | 0.382075i | \(0.875210\pi\) | |||||||
\(282\) | 26.3450 | + | 24.3818i | 1.56882 | + | 1.45192i | ||||
\(283\) | −2.62873 | + | 8.52213i | −0.156262 | + | 0.506588i | −0.999522 | − | 0.0309176i | \(-0.990157\pi\) |
0.843260 | + | 0.537505i | \(0.180633\pi\) | |||||||
\(284\) | −15.6174 | + | 6.12937i | −0.926721 | + | 0.363711i | ||||
\(285\) | −3.69967 | + | 6.42704i | −0.219150 | + | 0.380705i | ||||
\(286\) | 0.0760638 | + | 0.504650i | 0.00449775 | + | 0.0298406i | ||||
\(287\) | 0.256797 | + | 0.0797555i | 0.0151583 | + | 0.00470782i | ||||
\(288\) | −16.4764 | + | 17.8489i | −0.970883 | + | 1.05176i | ||||
\(289\) | 7.35490 | − | 1.10857i | 0.432641 | − | 0.0652101i | ||||
\(290\) | −6.05669 | + | 2.91675i | −0.355661 | + | 0.171277i | ||||
\(291\) | 0.274824 | + | 0.697608i | 0.0161104 | + | 0.0408945i | ||||
\(292\) | 21.3097 | − | 4.86381i | 1.24706 | − | 0.284633i | ||||
\(293\) | 13.5332 | + | 23.4401i | 0.790616 | + | 1.36939i | 0.925586 | + | 0.378538i | \(0.123573\pi\) |
−0.134970 | + | 0.990850i | \(0.543094\pi\) | |||||||
\(294\) | −5.55015 | − | 24.6099i | −0.323691 | − | 1.43528i | ||||
\(295\) | −9.04630 | + | 15.6686i | −0.526696 | + | 0.912264i | ||||
\(296\) | 0.0205889 | − | 0.0667475i | 0.00119670 | − | 0.00387962i | ||||
\(297\) | 0.243793 | − | 1.08739i | 0.0141463 | − | 0.0630966i | ||||
\(298\) | −21.7730 | − | 14.8446i | −1.26128 | − | 0.859925i | ||||
\(299\) | 0.261004 | − | 0.665026i | 0.0150942 | − | 0.0384595i | ||||
\(300\) | 6.46765 | + | 9.46022i | 0.373410 | + | 0.546186i | ||||
\(301\) | −5.33487 | + | 2.55644i | −0.307497 | + | 0.147351i | ||||
\(302\) | 15.6348 | + | 6.13622i | 0.899684 | + | 0.353100i | ||||
\(303\) | −0.0222106 | − | 17.3257i | −0.00127596 | − | 0.995337i | ||||
\(304\) | −7.36195 | − | 5.87096i | −0.422237 | − | 0.336723i | ||||
\(305\) | 5.47313 | + | 5.89863i | 0.313391 | + | 0.337755i | ||||
\(306\) | 16.7414 | + | 9.60849i | 0.957041 | + | 0.549281i | ||||
\(307\) | 1.30936 | − | 0.298854i | 0.0747293 | − | 0.0170565i | −0.184993 | − | 0.982740i | \(-0.559226\pi\) |
0.259722 | + | 0.965683i | \(0.416369\pi\) | |||||||
\(308\) | 1.28927 | − | 0.291646i | 0.0734630 | − | 0.0166181i | ||||
\(309\) | −20.8666 | + | 0.0267498i | −1.18706 | + | 0.00152174i | ||||
\(310\) | 3.42641 | − | 4.29658i | 0.194607 | − | 0.244029i | ||||
\(311\) | 25.8333 | − | 17.6128i | 1.46487 | − | 0.998731i | 0.471737 | − | 0.881739i | \(-0.343627\pi\) |
0.993133 | − | 0.116992i | \(-0.0373252\pi\) | |||||||
\(312\) | 0.925273 | + | 0.994646i | 0.0523832 | + | 0.0563108i | ||||
\(313\) | −20.1410 | + | 11.6284i | −1.13844 | + | 0.657276i | −0.946043 | − | 0.324042i | \(-0.894958\pi\) |
−0.192393 | + | 0.981318i | \(0.561625\pi\) | |||||||
\(314\) | −5.02546 | − | 2.42013i | −0.283603 | − | 0.136576i | ||||
\(315\) | 9.64224 | + | 6.56507i | 0.543279 | + | 0.369900i | ||||
\(316\) | −21.6632 | + | 10.4325i | −1.21865 | + | 0.586872i | ||||
\(317\) | 1.41518 | − | 2.07568i | 0.0794842 | − | 0.116582i | −0.784438 | − | 0.620207i | \(-0.787048\pi\) |
0.863922 | + | 0.503625i | \(0.168001\pi\) | |||||||
\(318\) | 43.7949 | + | 25.2102i | 2.45590 | + | 1.41372i | ||||
\(319\) | 0.345600 | + | 0.320670i | 0.0193499 | + | 0.0179541i | ||||
\(320\) | 13.7491 | − | 6.62124i | 0.768601 | − | 0.370139i | ||||
\(321\) | −15.5246 | + | 2.36032i | −0.866499 | + | 0.131740i | ||||
\(322\) | −3.28421 | − | 1.02000i | −0.183022 | − | 0.0568426i | ||||
\(323\) | −3.90869 | + | 8.11648i | −0.217485 | + | 0.451613i | ||||
\(324\) | −7.75983 | − | 19.4775i | −0.431102 | − | 1.08208i | ||||
\(325\) | −2.81293 | + | 1.62405i | −0.156033 | + | 0.0900859i | ||||
\(326\) | −6.65062 | + | 13.8102i | −0.368344 | + | 0.764874i | ||||
\(327\) | −14.3854 | + | 1.09658i | −0.795515 | + | 0.0606412i | ||||
\(328\) | 0.0205445 | + | 0.0666037i | 0.00113438 | + | 0.00367757i | ||||
\(329\) | 19.2826 | + | 17.9612i | 1.06309 | + | 0.990232i | ||||
\(330\) | −0.638689 | + | 0.939369i | −0.0351587 | + | 0.0517106i | ||||
\(331\) | −0.455969 | − | 6.08449i | −0.0250623 | − | 0.334434i | −0.995615 | − | 0.0935449i | \(-0.970180\pi\) |
0.970553 | − | 0.240889i | \(-0.0774389\pi\) | |||||||
\(332\) | −1.45240 | + | 1.34763i | −0.0797106 | + | 0.0739607i | ||||
\(333\) | −0.224523 | − | 0.207258i | −0.0123038 | − | 0.0113577i | ||||
\(334\) | 12.2780 | − | 13.2325i | 0.671822 | − | 0.724052i | ||||
\(335\) | 17.1574 | − | 2.58606i | 0.937407 | − | 0.141291i | ||||
\(336\) | −10.0816 | + | 10.8512i | −0.549998 | + | 0.591983i | ||||
\(337\) | 24.2505 | + | 3.65517i | 1.32101 | + | 0.199110i | 0.771420 | − | 0.636326i | \(-0.219547\pi\) |
0.549588 | + | 0.835436i | \(0.314785\pi\) | |||||||
\(338\) | 19.0208 | − | 15.1685i | 1.03459 | − | 0.825060i | ||||
\(339\) | 2.42109 | − | 6.19216i | 0.131495 | − | 0.336312i | ||||
\(340\) | −6.60084 | − | 8.27720i | −0.357981 | − | 0.448894i | ||||
\(341\) | −0.368287 | − | 0.113602i | −0.0199439 | − | 0.00615187i | ||||
\(342\) | 16.3644 | − | 7.93242i | 0.884884 | − | 0.428936i | ||||
\(343\) | −4.01634 | − | 18.0795i | −0.216862 | − | 0.976202i | ||||
\(344\) | −1.32798 | − | 0.766707i | −0.0715996 | − | 0.0413381i | ||||
\(345\) | 1.43177 | − | 0.691765i | 0.0770837 | − | 0.0372434i | ||||
\(346\) | 1.27044 | + | 8.42879i | 0.0682990 | + | 0.453134i | ||||
\(347\) | 7.61891 | + | 0.570959i | 0.409005 | + | 0.0306507i | 0.277644 | − | 0.960684i | \(-0.410446\pi\) |
0.131361 | + | 0.991335i | \(0.458065\pi\) | |||||||
\(348\) | 8.77268 | + | 1.31077i | 0.470265 | + | 0.0702646i | ||||
\(349\) | 4.08592 | − | 1.60361i | 0.218714 | − | 0.0858391i | −0.253454 | − | 0.967347i | \(-0.581567\pi\) |
0.472168 | + | 0.881508i | \(0.343471\pi\) | |||||||
\(350\) | 8.78272 | + | 12.9355i | 0.469456 | + | 0.691434i | ||||
\(351\) | 5.67179 | − | 1.77343i | 0.302738 | − | 0.0946588i | ||||
\(352\) | −1.27295 | − | 1.18113i | −0.0678487 | − | 0.0629544i | ||||
\(353\) | −14.0657 | + | 17.6378i | −0.748641 | + | 0.938766i | −0.999572 | − | 0.0292388i | \(-0.990692\pi\) |
0.250932 | + | 0.968005i | \(0.419263\pi\) | |||||||
\(354\) | 39.9494 | − | 19.3018i | 2.12329 | − | 1.02588i | ||||
\(355\) | 4.59226 | − | 9.53593i | 0.243732 | − | 0.506115i | ||||
\(356\) | −24.3915 | + | 22.6320i | −1.29275 | + | 1.19949i | ||||
\(357\) | 12.2674 | + | 7.09324i | 0.649259 | + | 0.375414i | ||||
\(358\) | 6.04117 | + | 5.60538i | 0.319286 | + | 0.296254i | ||||
\(359\) | 19.9623 | − | 7.83462i | 1.05357 | − | 0.413496i | 0.225571 | − | 0.974227i | \(-0.427575\pi\) |
0.827998 | + | 0.560731i | \(0.189480\pi\) | |||||||
\(360\) | 0.00775232 | + | 3.02366i | 0.000408583 | + | 0.159361i | ||||
\(361\) | −5.25639 | − | 9.10433i | −0.276652 | − | 0.479175i | ||||
\(362\) | 16.5176 | + | 28.6094i | 0.868147 | + | 1.50367i | ||||
\(363\) | −18.5026 | − | 4.19815i | −0.971135 | − | 0.220346i | ||||
\(364\) | 4.78447 | + | 5.17647i | 0.250775 | + | 0.271321i | ||||
\(365\) | −7.76778 | + | 11.3932i | −0.406584 | + | 0.596349i | ||||
\(366\) | −2.96601 | − | 19.5085i | −0.155036 | − | 1.01972i | ||||
\(367\) | 25.2169 | + | 5.75560i | 1.31631 | + | 0.300440i | 0.822320 | − | 0.569026i | \(-0.192680\pi\) |
0.493993 | + | 0.869466i | \(0.335537\pi\) | |||||||
\(368\) | 0.595132 | + | 1.92937i | 0.0310234 | + | 0.100575i | ||||
\(369\) | 0.301611 | + | 0.0446700i | 0.0157012 | + | 0.00232542i | ||||
\(370\) | 0.135141 | + | 0.280623i | 0.00702563 | + | 0.0145889i | ||||
\(371\) | 32.0909 | + | 18.6105i | 1.66608 | + | 0.966209i | ||||
\(372\) | −6.92632 | + | 2.14622i | −0.359113 | + | 0.111276i | ||||
\(373\) | 4.84125 | 0.250670 | 0.125335 | − | 0.992114i | \(-0.459999\pi\) | ||||
0.125335 | + | 0.992114i | \(0.459999\pi\) | |||||||
\(374\) | −0.689955 | + | 1.19504i | −0.0356767 | + | 0.0617939i | ||||
\(375\) | −19.4625 | − | 4.41594i | −1.00504 | − | 0.228038i | ||||
\(376\) | −1.01805 | + | 6.75434i | −0.0525021 | + | 0.348328i | ||||
\(377\) | −0.559436 | + | 2.45105i | −0.0288124 | + | 0.126235i | ||||
\(378\) | −10.5018 | − | 26.6084i | −0.540153 | − | 1.36859i | ||||
\(379\) | −2.18730 | − | 9.58318i | −0.112354 | − | 0.492255i | −0.999525 | − | 0.0308144i | \(-0.990190\pi\) |
0.887171 | − | 0.461441i | \(-0.152667\pi\) | |||||||
\(380\) | −9.94631 | + | 0.745373i | −0.510235 | + | 0.0382368i | ||||
\(381\) | 11.9705 | + | 24.7757i | 0.613266 | + | 1.26930i | ||||
\(382\) | 3.58040 | + | 9.12271i | 0.183189 | + | 0.466758i | ||||
\(383\) | 0.357439 | − | 1.56604i | 0.0182643 | − | 0.0800209i | −0.964974 | − | 0.262344i | \(-0.915505\pi\) |
0.983239 | + | 0.182323i | \(0.0583617\pi\) | |||||||
\(384\) | −9.27077 | − | 1.38519i | −0.473097 | − | 0.0706878i | ||||
\(385\) | −0.471087 | + | 0.688095i | −0.0240088 | + | 0.0350686i | ||||
\(386\) | −13.0020 | − | 10.3687i | −0.661782 | − | 0.527754i | ||||
\(387\) | −5.53258 | + | 3.79286i | −0.281237 | + | 0.192802i | ||||
\(388\) | −0.568086 | + | 0.833228i | −0.0288402 | + | 0.0423008i | ||||
\(389\) | −1.57217 | + | 1.25377i | −0.0797124 | + | 0.0635685i | −0.662535 | − | 0.749031i | \(-0.730520\pi\) |
0.582823 | + | 0.812599i | \(0.301948\pi\) | |||||||
\(390\) | −6.04113 | − | 0.444933i | −0.305904 | − | 0.0225301i | ||||
\(391\) | 1.67286 | − | 0.965828i | 0.0846003 | − | 0.0488440i | ||||
\(392\) | 3.27882 | − | 3.50644i | 0.165605 | − | 0.177102i | ||||
\(393\) | −5.05493 | + | 1.16058i | −0.254988 | + | 0.0585433i | ||||
\(394\) | −41.2794 | + | 38.3016i | −2.07962 | + | 1.92961i | ||||
\(395\) | 5.54176 | − | 14.1202i | 0.278836 | − | 0.710464i | ||||
\(396\) | 1.39381 | − | 0.551160i | 0.0700418 | − | 0.0276968i | ||||
\(397\) | 3.41418 | + | 22.6516i | 0.171353 | + | 1.13685i | 0.894798 | + | 0.446471i | \(0.147319\pi\) |
−0.723445 | + | 0.690382i | \(0.757443\pi\) | |||||||
\(398\) | −13.8951 | − | 35.4041i | −0.696497 | − | 1.77465i | ||||
\(399\) | 12.0320 | − | 5.78466i | 0.602354 | − | 0.289595i | ||||
\(400\) | 3.35375 | − | 8.54522i | 0.167688 | − | 0.427261i | ||||
\(401\) | 14.0242 | + | 3.20093i | 0.700335 | + | 0.159847i | 0.557840 | − | 0.829949i | \(-0.311630\pi\) |
0.142495 | + | 0.989795i | \(0.454487\pi\) | |||||||
\(402\) | −38.3597 | − | 18.4125i | −1.91321 | − | 0.918332i | ||||
\(403\) | −0.457336 | − | 2.00372i | −0.0227815 | − | 0.0998123i | ||||
\(404\) | 19.2538 | − | 13.1270i | 0.957912 | − | 0.653093i | ||||
\(405\) | 11.9463 | + | 5.67775i | 0.593616 | + | 0.282130i | ||||
\(406\) | 11.9634 | + | 1.82685i | 0.593732 | + | 0.0906651i | ||||
\(407\) | 0.0148575 | − | 0.0160126i | 0.000736458 | − | 0.000793713i | ||||
\(408\) | 0.279187 | + | 3.66248i | 0.0138218 | + | 0.181320i | ||||
\(409\) | −19.9383 | − | 29.2441i | −0.985885 | − | 1.44603i | −0.892844 | − | 0.450365i | \(-0.851294\pi\) |
−0.0930403 | − | 0.995662i | \(-0.529659\pi\) | |||||||
\(410\) | −0.269158 | − | 0.155398i | −0.0132928 | − | 0.00767457i | ||||
\(411\) | −6.39657 | − | 27.8605i | −0.315519 | − | 1.37426i | ||||
\(412\) | −15.8098 | − | 23.1888i | −0.778894 | − | 1.14243i | ||||
\(413\) | 29.3729 | − | 14.0754i | 1.44535 | − | 0.692603i | ||||
\(414\) | −3.85734 | − | 0.571290i | −0.189578 | − | 0.0280774i | ||||
\(415\) | 0.0934076 | − | 1.24644i | 0.00458520 | − | 0.0611852i | ||||
\(416\) | 2.06058 | − | 9.02800i | 0.101028 | − | 0.442634i | ||||
\(417\) | −12.7181 | − | 21.9634i | −0.622809 | − | 1.07555i | ||||
\(418\) | 0.564068 | + | 1.17130i | 0.0275895 | + | 0.0572902i | ||||
\(419\) | −10.5166 | − | 7.17006i | −0.513767 | − | 0.350280i | 0.278519 | − | 0.960431i | \(-0.410157\pi\) |
−0.792286 | + | 0.610150i | \(0.791109\pi\) | |||||||
\(420\) | −0.0102225 | + | 15.6893i | −0.000498805 | + | 0.765561i | ||||
\(421\) | 30.3694 | − | 20.7055i | 1.48012 | − | 1.00913i | 0.489567 | − | 0.871965i | \(-0.337155\pi\) |
0.990549 | − | 0.137161i | \(-0.0437977\pi\) | |||||||
\(422\) | 5.95436 | + | 3.43775i | 0.289854 | + | 0.167347i | ||||
\(423\) | 24.7313 | + | 16.7688i | 1.20248 | + | 0.815327i | ||||
\(424\) | 0.718590 | + | 9.58891i | 0.0348978 | + | 0.465679i | ||||
\(425\) | −8.68425 | − | 1.30894i | −0.421248 | − | 0.0634929i | ||||
\(426\) | −22.4611 | + | 13.0063i | −1.08824 | + | 0.630159i | ||||
\(427\) | −2.13133 | − | 14.3284i | −0.103143 | − | 0.693400i | ||||
\(428\) | −14.3655 | − | 15.4823i | −0.694383 | − | 0.748367i | ||||
\(429\) | 0.125738 | + | 0.405787i | 0.00607071 | + | 0.0195916i | ||||
\(430\) | 6.66612 | − | 1.52150i | 0.321469 | − | 0.0733732i | ||||
\(431\) | 1.43443 | − | 9.51683i | 0.0690941 | − | 0.458410i | −0.927353 | − | 0.374188i | \(-0.877922\pi\) |
0.996447 | − | 0.0842217i | \(-0.0268404\pi\) | |||||||
\(432\) | −9.40750 | + | 13.9129i | −0.452618 | + | 0.669386i | ||||
\(433\) | −22.9545 | + | 18.3056i | −1.10312 | + | 0.879712i | −0.993451 | − | 0.114255i | \(-0.963552\pi\) |
−0.109673 | + | 0.993968i | \(0.534980\pi\) | |||||||
\(434\) | −9.45943 | + | 2.89783i | −0.454067 | + | 0.139100i | ||||
\(435\) | −4.61943 | + | 3.15815i | −0.221485 | + | 0.151422i | ||||
\(436\) | −12.0984 | − | 15.1709i | −0.579409 | − | 0.726556i | ||||
\(437\) | 0.135998 | − | 1.81477i | 0.00650568 | − | 0.0868122i | ||||
\(438\) | 31.4617 | − | 12.3944i | 1.50330 | − | 0.592226i | ||||
\(439\) | 22.2205 | + | 23.9480i | 1.06052 | + | 1.14297i | 0.989357 | + | 0.145509i | \(0.0464819\pi\) |
0.0711673 | + | 0.997464i | \(0.477328\pi\) | |||||||
\(440\) | −0.216155 | −0.0103048 | ||||||||
\(441\) | −7.64668 | − | 19.5583i | −0.364128 | − | 0.931349i | ||||
\(442\) | −7.35854 | −0.350010 | ||||||||
\(443\) | −25.2779 | − | 27.2431i | −1.20099 | − | 1.29436i | −0.944767 | − | 0.327744i | \(-0.893712\pi\) |
−0.256225 | − | 0.966617i | \(-0.582479\pi\) | |||||||
\(444\) | 0.0607314 | − | 0.406462i | 0.00288219 | − | 0.0192898i | ||||
\(445\) | 1.56868 | − | 20.9326i | 0.0743628 | − | 0.992302i | ||||
\(446\) | −19.1772 | − | 24.0474i | −0.908066 | − | 1.13868i | ||||
\(447\) | −19.7755 | − | 9.49219i | −0.935351 | − | 0.448965i | ||||
\(448\) | −27.1578 | − | 4.14709i | −1.28308 | − | 0.195932i | ||||
\(449\) | 7.45948 | − | 5.94873i | 0.352034 | − | 0.280738i | −0.431466 | − | 0.902129i | \(-0.642004\pi\) |
0.783501 | + | 0.621391i | \(0.213432\pi\) | |||||||
\(450\) | 12.0919 | + | 12.9652i | 0.570020 | + | 0.611185i | ||||
\(451\) | −0.00324862 | + | 0.0215532i | −0.000152972 | + | 0.00101490i | ||||
\(452\) | 8.71815 | − | 1.98986i | 0.410067 | − | 0.0935952i | ||||
\(453\) | 13.6345 | + | 3.09360i | 0.640604 | + | 0.145350i | ||||
\(454\) | −18.4436 | − | 19.8775i | −0.865603 | − | 0.932898i | ||||
\(455\) | −4.43382 | − | 0.340891i | −0.207861 | − | 0.0159812i | ||||
\(456\) | 2.99911 | + | 1.72642i | 0.140446 | + | 0.0808468i | ||||
\(457\) | 22.2469 | + | 3.35318i | 1.04067 | + | 0.156855i | 0.647072 | − | 0.762429i | \(-0.275993\pi\) |
0.393595 | + | 0.919284i | \(0.371231\pi\) | |||||||
\(458\) | 0.123892 | + | 1.65323i | 0.00578911 | + | 0.0772503i | ||||
\(459\) | 14.9796 | + | 5.81267i | 0.699187 | + | 0.271312i | ||||
\(460\) | 1.85217 | + | 1.06935i | 0.0863578 | + | 0.0498587i | ||||
\(461\) | −14.7852 | + | 10.0804i | −0.688617 | + | 0.469491i | −0.856387 | − | 0.516335i | \(-0.827296\pi\) |
0.167770 | + | 0.985826i | \(0.446343\pi\) | |||||||
\(462\) | 1.90409 | − | 0.745868i | 0.0885862 | − | 0.0347009i | ||||
\(463\) | 30.1315 | + | 20.5433i | 1.40033 | + | 0.954729i | 0.999251 | + | 0.0386853i | \(0.0123170\pi\) |
0.401079 | + | 0.916044i | \(0.368635\pi\) | |||||||
\(464\) | −3.08288 | − | 6.40167i | −0.143119 | − | 0.297190i | ||||
\(465\) | 2.28219 | − | 3.96459i | 0.105834 | − | 0.183854i | ||||
\(466\) | 10.3680 | − | 45.4251i | 0.480287 | − | 2.10427i | ||||
\(467\) | 0.446058 | − | 5.95223i | 0.0206411 | − | 0.275437i | −0.977328 | − | 0.211732i | \(-0.932090\pi\) |
0.997969 | − | 0.0637043i | \(-0.0202914\pi\) | |||||||
\(468\) | 6.26171 | + | 4.96733i | 0.289447 | + | 0.229615i | ||||
\(469\) | −28.1168 | − | 13.6074i | −1.29832 | − | 0.628331i | ||||
\(470\) | −17.1576 | − | 25.1656i | −0.791423 | − | 1.16080i | ||||
\(471\) | −4.43852 | − | 1.36287i | −0.204516 | − | 0.0627979i | ||||
\(472\) | 7.31162 | + | 4.22136i | 0.336544 | + | 0.194304i | ||||
\(473\) | −0.270128 | − | 0.396205i | −0.0124205 | − | 0.0182175i | ||||
\(474\) | −30.7074 | + | 20.9937i | −1.41044 | + | 0.964272i | ||||
\(475\) | −5.62779 | + | 6.06531i | −0.258221 | + | 0.278296i | ||||
\(476\) | 1.38754 | + | 19.0086i | 0.0635979 | + | 0.871257i | ||||
\(477\) | 39.1954 | + | 15.2672i | 1.79464 | + | 0.699038i | ||||
\(478\) | 2.12098 | − | 1.44606i | 0.0970112 | − | 0.0661411i | ||||
\(479\) | −1.96080 | − | 8.59081i | −0.0895910 | − | 0.392524i | 0.910173 | − | 0.414227i | \(-0.135948\pi\) |
−0.999764 | + | 0.0217034i | \(0.993091\pi\) | |||||||
\(480\) | 17.0148 | − | 11.6325i | 0.776617 | − | 0.530948i | ||||
\(481\) | 0.113564 | + | 0.0259202i | 0.00517806 | + | 0.00118186i | ||||
\(482\) | −21.3306 | + | 54.3496i | −0.971583 | + | 2.47555i | ||||
\(483\) | −2.83037 | − | 0.428496i | −0.128786 | − | 0.0194973i | ||||
\(484\) | −9.32290 | − | 23.7544i | −0.423768 | − | 1.07974i | ||||
\(485\) | −0.0948209 | − | 0.629096i | −0.00430560 | − | 0.0285658i | ||||
\(486\) | −16.3977 | − | 27.9858i | −0.743814 | − | 1.26946i | ||||
\(487\) | −0.190787 | + | 0.486116i | −0.00864536 | + | 0.0220280i | −0.935131 | − | 0.354301i | \(-0.884719\pi\) |
0.926486 | + | 0.376329i | \(0.122814\pi\) | |||||||
\(488\) | 2.75254 | − | 2.55398i | 0.124602 | − | 0.115613i | ||||
\(489\) | −3.74523 | + | 12.1972i | −0.169365 | + | 0.551578i | ||||
\(490\) | −0.0827769 | + | 21.4059i | −0.00373948 | + | 0.967021i | ||||
\(491\) | 2.18384 | − | 1.26084i | 0.0985554 | − | 0.0569010i | −0.449912 | − | 0.893073i | \(-0.648545\pi\) |
0.548468 | + | 0.836172i | \(0.315211\pi\) | |||||||
\(492\) | 0.178404 | + | 0.369248i | 0.00804308 | + | 0.0166470i | ||||
\(493\) | −5.31465 | + | 4.23829i | −0.239360 | + | 0.190883i | ||||
\(494\) | −3.90530 | + | 5.72803i | −0.175708 | + | 0.257716i | ||||
\(495\) | −0.408077 | + | 0.852969i | −0.0183417 | + | 0.0383381i | ||||
\(496\) | 4.54131 | + | 3.62157i | 0.203911 | + | 0.162613i | ||||
\(497\) | −16.5197 | + | 9.49509i | −0.741008 | + | 0.425913i | ||||
\(498\) | −1.90803 | + | 2.39890i | −0.0855009 | + | 0.107497i | ||||
\(499\) | 6.55593 | − | 28.7234i | 0.293484 | − | 1.28584i | −0.586157 | − | 0.810197i | \(-0.699360\pi\) |
0.879641 | − | 0.475638i | \(-0.157783\pi\) | |||||||
\(500\) | −9.80654 | − | 24.9867i | −0.438562 | − | 1.11744i | ||||
\(501\) | 8.44856 | − | 12.4260i | 0.377454 | − | 0.555151i | ||||
\(502\) | −39.6145 | + | 2.96870i | −1.76808 | + | 0.132499i | ||||
\(503\) | −1.39042 | − | 6.09183i | −0.0619958 | − | 0.271621i | 0.934424 | − | 0.356162i | \(-0.115915\pi\) |
−0.996420 | + | 0.0845407i | \(0.973058\pi\) | |||||||
\(504\) | 3.06352 | − | 4.49945i | 0.136460 | − | 0.200422i | ||||
\(505\) | −3.27128 | + | 14.3324i | −0.145570 | + | 0.637784i | ||||
\(506\) | 0.0415470 | − | 0.275646i | 0.00184699 | − | 0.0122540i | ||||
\(507\) | 13.7553 | − | 14.8629i | 0.610895 | − | 0.660083i | ||||
\(508\) | −18.5043 | + | 32.0504i | −0.820996 | + | 1.42201i | ||||
\(509\) | −24.5721 | −1.08914 | −0.544569 | − | 0.838716i | \(-0.683307\pi\) | ||||
−0.544569 | + | 0.838716i | \(0.683307\pi\) | |||||||
\(510\) | −12.0206 | − | 11.1248i | −0.532280 | − | 0.492615i | ||||
\(511\) | 23.1257 | − | 9.02460i | 1.02302 | − | 0.399225i | ||||
\(512\) | 13.2788 | + | 27.5736i | 0.586844 | + | 1.21859i | ||||
\(513\) | 12.4746 | − | 8.57550i | 0.550767 | − | 0.378618i | ||||
\(514\) | 5.10451 | + | 16.5484i | 0.225150 | + | 0.729919i | ||||
\(515\) | 17.2616 | + | 3.93984i | 0.760636 | + | 0.173610i | ||||
\(516\) | −8.40255 | − | 3.28533i | −0.369901 | − | 0.144629i | ||||
\(517\) | −1.20329 | + | 1.76490i | −0.0529207 | + | 0.0776204i | ||||
\(518\) | 0.0846429 | − | 0.554295i | 0.00371900 | − | 0.0243543i | ||||
\(519\) | 2.10011 | + | 6.77754i | 0.0921847 | + | 0.297501i | ||||
\(520\) | −0.576337 | − | 0.998244i | −0.0252740 | − | 0.0437759i | ||||
\(521\) | 15.8215 | + | 27.4037i | 0.693154 | + | 1.20058i | 0.970799 | + | 0.239894i | \(0.0771127\pi\) |
−0.277645 | + | 0.960684i | \(0.589554\pi\) | |||||||
\(522\) | 13.7224 | − | 0.0351826i | 0.600613 | − | 0.00153990i | ||||
\(523\) | 25.4621 | − | 9.99314i | 1.11338 | − | 0.436970i | 0.263879 | − | 0.964556i | \(-0.414998\pi\) |
0.849501 | + | 0.527586i | \(0.176903\pi\) | |||||||
\(524\) | −5.11357 | − | 4.74470i | −0.223387 | − | 0.207273i | ||||
\(525\) | 8.84625 | + | 9.54646i | 0.386082 | + | 0.416642i | ||||
\(526\) | 42.0145 | − | 38.9837i | 1.83192 | − | 1.69977i | ||||
\(527\) | 2.41112 | − | 5.00675i | 0.105030 | − | 0.218097i | ||||
\(528\) | −0.992874 | − | 0.675068i | −0.0432093 | − | 0.0293785i | ||||
\(529\) | 14.0970 | − | 17.6770i | 0.612912 | − | 0.768567i | ||||
\(530\) | −31.4313 | − | 29.1639i | −1.36529 | − | 1.26680i | ||||
\(531\) | 30.4615 | − | 20.8829i | 1.32192 | − | 0.906240i | ||||
\(532\) | 15.5330 | + | 9.00809i | 0.673442 | + | 0.390550i | ||||
\(533\) | −0.108198 | + | 0.0424648i | −0.00468660 | + | 0.00183935i | ||||
\(534\) | −32.0434 | + | 40.2870i | −1.38665 | + | 1.74339i | ||||
\(535\) | 13.2868 | + | 0.995711i | 0.574440 | + | 0.0430483i | ||||
\(536\) | −1.20676 | − | 8.00631i | −0.0521240 | − | 0.345820i | ||||
\(537\) | 5.67294 | + | 3.85710i | 0.244805 | + | 0.166446i | ||||
\(538\) | 50.8868 | + | 29.3795i | 2.19388 | + | 1.26664i | ||||
\(539\) | 1.39958 | − | 0.543057i | 0.0602840 | − | 0.0233911i | ||||
\(540\) | 2.71910 | + | 17.5810i | 0.117012 | + | 0.756566i | ||||
\(541\) | 39.1335 | + | 12.0711i | 1.68248 | + | 0.518977i | 0.981049 | − | 0.193759i | \(-0.0620680\pi\) |
0.701433 | + | 0.712736i | \(0.252544\pi\) | |||||||
\(542\) | 27.5479 | + | 34.5440i | 1.18328 | + | 1.48379i | ||||
\(543\) | 17.1728 | + | 21.4775i | 0.736955 | + | 0.921687i | ||||
\(544\) | 19.5756 | − | 15.6110i | 0.839295 | − | 0.669316i | ||||
\(545\) | 12.1048 | + | 1.82450i | 0.518512 | + | 0.0781532i | ||||
\(546\) | 8.52145 | + | 6.80472i | 0.364684 | + | 0.291215i | ||||
\(547\) | −9.04733 | + | 1.36367i | −0.386836 | + | 0.0583062i | −0.339581 | − | 0.940577i | \(-0.610285\pi\) |
−0.0472548 | + | 0.998883i | \(0.515047\pi\) | |||||||
\(548\) | 26.1506 | − | 28.1837i | 1.11710 | − | 1.20395i | ||||
\(549\) | −4.88177 | − | 15.6834i | −0.208349 | − | 0.669353i | ||||
\(550\) | −0.929064 | + | 0.862046i | −0.0396154 | + | 0.0367577i | ||||
\(551\) | 0.478591 | + | 6.38636i | 0.0203887 | + | 0.272068i | ||||
\(552\) | −0.322805 | − | 0.668119i | −0.0137395 | − | 0.0284370i | ||||
\(553\) | −22.5923 | + | 15.3392i | −0.960721 | + | 0.652291i | ||||
\(554\) | −18.2928 | − | 59.3037i | −0.777185 | − | 2.51957i | ||||
\(555\) | 0.146326 | + | 0.214030i | 0.00621118 | + | 0.00908509i | ||||
\(556\) | 14.8109 | − | 30.7552i | 0.628123 | − | 1.30431i | ||||
\(557\) | −12.4907 | + | 7.21153i | −0.529249 | + | 0.305562i | −0.740711 | − | 0.671824i | \(-0.765511\pi\) |
0.211461 | + | 0.977386i | \(0.432178\pi\) | |||||||
\(558\) | −10.0946 | + | 4.89321i | −0.427337 | + | 0.207146i | ||||
\(559\) | 1.10950 | − | 2.30391i | 0.0469270 | − | 0.0974449i | ||||
\(560\) | 10.3977 | − | 7.05964i | 0.439384 | − | 0.298324i | ||||
\(561\) | −0.418278 | + | 1.06979i | −0.0176597 | + | 0.0451664i | ||||
\(562\) | −40.0674 | + | 19.2955i | −1.69014 | + | 0.813930i | ||||
\(563\) | −14.2957 | − | 13.2645i | −0.602494 | − | 0.559032i | 0.318838 | − | 0.947809i | \(-0.396707\pi\) |
−0.921332 | + | 0.388777i | \(0.872898\pi\) | |||||||
\(564\) | 0.0515194 | + | 40.1886i | 0.00216936 | + | 1.69225i | ||||
\(565\) | −3.17792 | + | 4.66115i | −0.133696 | + | 0.196096i | ||||
\(566\) | −16.7193 | + | 8.05158i | −0.702763 | + | 0.338433i | ||||
\(567\) | −11.9717 | − | 20.5835i | −0.502764 | − | 0.864424i | ||||
\(568\) | −4.44985 | − | 2.14293i | −0.186711 | − | 0.0899155i | ||||
\(569\) | −18.2490 | + | 10.5361i | −0.765039 | + | 0.441696i | −0.831102 | − | 0.556120i | \(-0.812290\pi\) |
0.0660629 | + | 0.997815i | \(0.478956\pi\) | |||||||
\(570\) | −15.0393 | + | 3.45291i | −0.629927 | + | 0.144627i | ||||
\(571\) | 27.3498 | − | 18.6468i | 1.14455 | − | 0.780344i | 0.165957 | − | 0.986133i | \(-0.446929\pi\) |
0.978596 | + | 0.205789i | \(0.0659762\pi\) | |||||||
\(572\) | −0.356249 | + | 0.446723i | −0.0148955 | + | 0.0186784i | ||||
\(573\) | 4.08793 | + | 7.05958i | 0.170776 | + | 0.294918i | ||||
\(574\) | 0.241788 | + | 0.504572i | 0.0100920 | + | 0.0210604i | ||||
\(575\) | 1.72967 | − | 0.394785i | 0.0721321 | − | 0.0164637i | ||||
\(576\) | −31.1509 | + | 0.0798673i | −1.29795 | + | 0.00332780i | ||||
\(577\) | 13.2293 | + | 14.2578i | 0.550745 | + | 0.593562i | 0.945661 | − | 0.325156i | \(-0.105417\pi\) |
−0.394916 | + | 0.918717i | \(0.629226\pi\) | |||||||
\(578\) | 12.1002 | + | 9.64955i | 0.503300 | + | 0.401369i | ||||
\(579\) | −11.9973 | − | 6.90617i | −0.498592 | − | 0.287011i | ||||
\(580\) | −7.00604 | − | 2.74967i | −0.290910 | − | 0.114174i | ||||
\(581\) | −1.40637 | + | 1.75656i | −0.0583462 | + | 0.0728743i | ||||
\(582\) | −0.675116 | + | 1.40650i | −0.0279845 | + | 0.0583014i | ||||
\(583\) | −1.09860 | + | 2.79918i | −0.0454993 | + | 0.115930i | ||||
\(584\) | 5.31654 | + | 3.62475i | 0.220000 | + | 0.149993i | ||||
\(585\) | −5.02723 | + | 0.389703i | −0.207851 | + | 0.0161122i | ||||
\(586\) | −16.6002 | + | 53.8166i | −0.685750 | + | 2.22315i | ||||
\(587\) | −2.30768 | + | 3.99703i | −0.0952483 | + | 0.164975i | −0.909712 | − | 0.415239i | \(-0.863698\pi\) |
0.814464 | + | 0.580214i | \(0.197031\pi\) | |||||||
\(588\) | 15.9711 | − | 23.2957i | 0.658638 | − | 0.960699i | ||||
\(589\) | −2.61772 | − | 4.53403i | −0.107861 | − | 0.186821i | ||||
\(590\) | −36.7026 | + | 8.37713i | −1.51102 | + | 0.344881i | ||||
\(591\) | −29.1787 | + | 36.6853i | −1.20025 | + | 1.50903i | ||||
\(592\) | −0.296606 | + | 0.142838i | −0.0121904 | + | 0.00587061i | ||||
\(593\) | 9.86984 | − | 1.48764i | 0.405306 | − | 0.0610900i | 0.0567741 | − | 0.998387i | \(-0.481919\pi\) |
0.348532 | + | 0.937297i | \(0.386680\pi\) | |||||||
\(594\) | 2.00364 | − | 1.16710i | 0.0822103 | − | 0.0478866i | ||||
\(595\) | −8.79820 | − | 8.19525i | −0.360691 | − | 0.335972i | ||||
\(596\) | −4.39723 | − | 29.1737i | −0.180118 | − | 1.19500i | ||||
\(597\) | −15.8647 | − | 27.3973i | −0.649300 | − | 1.12130i | ||||
\(598\) | 1.38376 | − | 0.543087i | 0.0565863 | − | 0.0222085i | ||||
\(599\) | −8.75994 | + | 28.3990i | −0.357921 | + | 1.16035i | 0.580325 | + | 0.814385i | \(0.302926\pi\) |
−0.938246 | + | 0.345968i | \(0.887551\pi\) | |||||||
\(600\) | −0.746480 | + | 3.28998i | −0.0304749 | + | 0.134313i | ||||
\(601\) | 0.574617 | − | 1.86286i | 0.0234391 | − | 0.0759877i | −0.943098 | − | 0.332516i | \(-0.892102\pi\) |
0.966537 | + | 0.256528i | \(0.0825787\pi\) | |||||||
\(602\) | −11.4497 | − | 4.51925i | −0.466655 | − | 0.184191i | ||||
\(603\) | −33.8719 | − | 10.3531i | −1.37937 | − | 0.421610i | ||||
\(604\) | 6.87000 | + | 17.5045i | 0.279537 | + | 0.712247i | ||||
\(605\) | 14.5044 | + | 6.98493i | 0.589686 | + | 0.283978i | ||||
\(606\) | 26.3957 | − | 24.5546i | 1.07225 | − | 0.997464i | ||||
\(607\) | 5.71107i | 0.231805i | 0.993261 | + | 0.115903i | \(0.0369761\pi\) | ||||
−0.993261 | + | 0.115903i | \(0.963024\pi\) | |||||||
\(608\) | −1.76281 | − | 23.5230i | −0.0714912 | − | 0.953984i | ||||
\(609\) | 10.0739 | + | 0.00656368i | 0.408214 | + | 0.000265974i | ||||
\(610\) | −1.25123 | + | 16.6964i | −0.0506607 | + | 0.676019i | ||||
\(611\) | −11.3590 | − | 0.851240i | −0.459536 | − | 0.0344375i | ||||
\(612\) | 4.86291 | + | 21.0568i | 0.196572 | + | 0.851171i | ||||
\(613\) | −13.5676 | + | 4.18505i | −0.547990 | + | 0.169032i | −0.556373 | − | 0.830932i | \(-0.687808\pi\) |
0.00838374 | + | 0.999965i | \(0.497331\pi\) | |||||||
\(614\) | 2.30896 | + | 1.57422i | 0.0931820 | + | 0.0635304i | ||||
\(615\) | −0.240947 | − | 0.0942086i | −0.00971594 | − | 0.00379886i | ||||
\(616\) | 0.321093 | + | 0.219828i | 0.0129372 | + | 0.00885712i | ||||
\(617\) | 0.263519 | − | 0.0197480i | 0.0106089 | − | 0.000795026i | −0.0694246 | − | 0.997587i | \(-0.522116\pi\) |
0.0800335 | + | 0.996792i | \(0.474497\pi\) | |||||||
\(618\) | −29.5730 | − | 31.7902i | −1.18960 | − | 1.27879i | ||||
\(619\) | 24.0925i | 0.968359i | 0.874969 | + | 0.484180i | \(0.160882\pi\) | ||||
−0.874969 | + | 0.484180i | \(0.839118\pi\) | |||||||
\(620\) | 6.13550 | − | 0.459792i | 0.246408 | − | 0.0184657i | ||||
\(621\) | −3.24589 | + | 0.0124832i | −0.130253 | + | 0.000500932i | ||||
\(622\) | 63.4263 | + | 14.4766i | 2.54316 | + | 0.580461i | ||||
\(623\) | −23.6186 | + | 29.4996i | −0.946258 | + | 1.18188i | ||||
\(624\) | 0.470276 | − | 6.38522i | 0.0188261 | − | 0.255613i | ||||
\(625\) | 2.46253 | + | 1.18589i | 0.0985013 | + | 0.0474357i | ||||
\(626\) | −46.2421 | − | 14.2638i | −1.84821 | − | 0.570096i | ||||
\(627\) | 0.610754 | + | 0.893349i | 0.0243912 | + | 0.0356769i | ||||
\(628\) | −1.84070 | − | 5.96741i | −0.0734520 | − | 0.238125i | ||||
\(629\) | 0.196371 | + | 0.246242i | 0.00782984 | + | 0.00981831i | ||||
\(630\) | 3.63271 | + | 23.9988i | 0.144731 | + | 0.956136i | ||||
\(631\) | 20.6668 | − | 25.9153i | 0.822731 | − | 1.03167i | −0.176149 | − | 0.984364i | \(-0.556364\pi\) |
0.998880 | − | 0.0473091i | \(-0.0150646\pi\) | |||||||
\(632\) | −6.58904 | − | 2.58601i | −0.262098 | − | 0.102866i | ||||
\(633\) | 5.33029 | + | 2.08410i | 0.211860 | + | 0.0828356i | ||||
\(634\) | 5.16893 | − | 0.779091i | 0.205284 | − | 0.0309416i | ||||
\(635\) | −5.19529 | − | 22.7620i | −0.206169 | − | 0.903284i | ||||
\(636\) | 12.6599 | + | 55.1408i | 0.501999 | + | 2.18648i | ||||
\(637\) | 6.23964 | + | 5.01555i | 0.247224 | + | 0.198723i | ||||
\(638\) | 0.980984i | 0.0388375i | ||||||||
\(639\) | −16.8571 | + | 13.5139i | −0.666855 | + | 0.534602i | ||||
\(640\) | 7.40383 | + | 2.90579i | 0.292662 | + | 0.114861i | ||||
\(641\) | 17.6454 | + | 36.6410i | 0.696951 | + | 1.44723i | 0.885247 | + | 0.465122i | \(0.153989\pi\) |
−0.188296 | + | 0.982112i | \(0.560296\pi\) | |||||||
\(642\) | −25.5719 | − | 20.3393i | −1.00924 | − | 0.802729i | ||||
\(643\) | −3.76637 | + | 24.9882i | −0.148531 | + | 0.985439i | 0.783064 | + | 0.621941i | \(0.213656\pi\) |
−0.931595 | + | 0.363498i | \(0.881582\pi\) | |||||||
\(644\) | −1.66383 | − | 3.47213i | −0.0655640 | − | 0.136821i | ||||
\(645\) | 5.29554 | − | 2.08618i | 0.208512 | − | 0.0821434i | ||||
\(646\) | −17.9120 | + | 5.52513i | −0.704740 | + | 0.217383i | ||||
\(647\) | 11.4647 | + | 1.72803i | 0.450725 | + | 0.0679359i | 0.370482 | − | 0.928839i | \(-0.379192\pi\) |
0.0802427 | + | 0.996775i | \(0.474430\pi\) | |||||||
\(648\) | 2.64947 | − | 5.57462i | 0.104081 | − | 0.218992i | ||||
\(649\) | 1.48728 | + | 2.18144i | 0.0583808 | + | 0.0856290i | ||||
\(650\) | −6.45826 | − | 1.99211i | −0.253314 | − | 0.0781370i | ||||
\(651\) | −7.42209 | + | 3.56834i | −0.290895 | + | 0.139854i | ||||
\(652\) | −16.3987 | + | 5.05832i | −0.642222 | + | 0.198099i | ||||
\(653\) | −8.04612 | − | 6.41657i | −0.314869 | − | 0.251100i | 0.453284 | − | 0.891366i | \(-0.350252\pi\) |
−0.768153 | + | 0.640267i | \(0.778824\pi\) | |||||||
\(654\) | −22.0320 | − | 20.3902i | −0.861520 | − | 0.797321i | ||||
\(655\) | 4.40074 | 0.171951 | ||||||||
\(656\) | 0.164250 | − | 0.284489i | 0.00641287 | − | 0.0111074i | ||||
\(657\) | 24.3407 | − | 14.1364i | 0.949621 | − | 0.551515i | ||||
\(658\) | −0.106018 | + | 54.8321i | −0.00413300 | + | 2.13758i | ||||
\(659\) | −2.93946 | − | 0.220282i | −0.114505 | − | 0.00858096i | 0.0173543 | − | 0.999849i | \(-0.494476\pi\) |
−0.131859 | + | 0.991268i | \(0.542095\pi\) | |||||||
\(660\) | −1.25732 | + | 0.191159i | −0.0489411 | + | 0.00744086i | ||||
\(661\) | −24.2666 | + | 26.1532i | −0.943863 | + | 1.01724i | 0.0559599 | + | 0.998433i | \(0.482178\pi\) |
−0.999823 | + | 0.0188096i | \(0.994012\pi\) | |||||||
\(662\) | 8.63540 | − | 9.30675i | 0.335624 | − | 0.361717i | ||||
\(663\) | −6.05573 | + | 0.920696i | −0.235185 | + | 0.0357569i | ||||
\(664\) | −0.581638 | − | 0.0435877i | −0.0225719 | − | 0.00169153i | ||||
\(665\) | −11.0487 | + | 2.49933i | −0.428450 | + | 0.0969197i | ||||
\(666\) | −0.00163011 | − | 0.635795i | −6.31653e−5 | − | 0.0246366i | ||||
\(667\) | 0.686612 | − | 1.18925i | 0.0265857 | − | 0.0460478i | ||||
\(668\) | 20.2099 | 0.781945 | ||||||||
\(669\) | −18.7907 | − | 17.3905i | −0.726491 | − | 0.672354i | ||||
\(670\) | 28.2270 | + | 22.5103i | 1.09051 | + | 0.869649i | ||||
\(671\) | 1.12206 | − | 0.346110i | 0.0433167 | − | 0.0133614i | ||||
\(672\) | −37.1053 | − | 0.0241761i | −1.43137 | − | 0.000932614i | ||||
\(673\) | −47.0773 | − | 14.5214i | −1.81469 | − | 0.559759i | −0.814892 | − | 0.579613i | \(-0.803204\pi\) |
−0.999803 | + | 0.0198535i | \(0.993680\pi\) | |||||||
\(674\) | 28.7460 | + | 42.1626i | 1.10725 | + | 1.62404i | ||||
\(675\) | 11.5733 | + | 9.15681i | 0.445457 | + | 0.352446i | ||||
\(676\) | 26.9335 | + | 4.05957i | 1.03590 | + | 0.156137i | ||||
\(677\) | 0.150777 | − | 0.0465086i | 0.00579484 | − | 0.00178747i | −0.291856 | − | 0.956462i | \(-0.594273\pi\) |
0.297651 | + | 0.954675i | \(0.403797\pi\) | |||||||
\(678\) | 12.8715 | − | 5.07073i | 0.494326 | − | 0.194740i | ||||
\(679\) | −0.498931 | + | 1.03094i | −0.0191472 | + | 0.0395638i | ||||
\(680\) | 0.464513 | − | 3.08184i | 0.0178132 | − | 0.118183i | ||||
\(681\) | −17.6653 | − | 14.0506i | −0.676936 | − | 0.538420i | ||||
\(682\) | −0.347952 | − | 0.722530i | −0.0133238 | − | 0.0276671i | ||||
\(683\) | 7.71412 | + | 3.02757i | 0.295173 | + | 0.115847i | 0.508306 | − | 0.861176i | \(-0.330272\pi\) |
−0.213134 | + | 0.977023i | \(0.568367\pi\) | |||||||
\(684\) | 18.9719 | + | 7.38983i | 0.725407 | + | 0.282557i | ||||
\(685\) | 24.2549i | 0.926731i | ||||||||
\(686\) | 21.8926 | − | 31.7138i | 0.835864 | − | 1.21084i | ||||
\(687\) | 0.308808 | + | 1.34503i | 0.0117818 | + | 0.0513160i | ||||
\(688\) | 1.60816 | + | 7.04582i | 0.0613106 | + | 0.268619i | ||||
\(689\) | −15.8563 | + | 2.38996i | −0.604079 | + | 0.0910502i | ||||
\(690\) | 3.08151 | + | 1.20485i | 0.117311 | + | 0.0458677i | ||||
\(691\) | 37.8174 | + | 14.8422i | 1.43864 | + | 0.564625i | 0.951212 | − | 0.308538i | \(-0.0998396\pi\) |
0.487429 | + | 0.873163i | \(0.337935\pi\) | |||||||
\(692\) | −5.95016 | + | 7.46126i | −0.226191 | + | 0.283635i | ||||
\(693\) | 1.47365 | − | 0.852052i | 0.0559794 | − | 0.0323668i | ||||
\(694\) | 9.91201 | + | 12.4293i | 0.376255 | + | 0.471809i | ||||
\(695\) | 6.34755 | + | 20.5783i | 0.240776 | + | 0.780578i | ||||
\(696\) | 1.47372 | + | 2.15561i | 0.0558612 | + | 0.0817081i | ||||
\(697\) | −0.300314 | − | 0.0926347i | −0.0113752 | − | 0.00350879i | ||||
\(698\) | 8.22872 | + | 3.96274i | 0.311462 | + | 0.149992i | ||||
\(699\) | 2.84880 | − | 38.6799i | 0.107751 | − | 1.46301i | ||||
\(700\) | −3.92824 | + | 17.0586i | −0.148473 | + | 0.644755i | ||||
\(701\) | 5.68465 | + | 1.29748i | 0.214706 | + | 0.0490053i | 0.328521 | − | 0.944497i | \(-0.393450\pi\) |
−0.113815 | + | 0.993502i | \(0.536307\pi\) | |||||||
\(702\) | 10.7322 | + | 6.14133i | 0.405061 | + | 0.231790i | ||||
\(703\) | 0.295897 | − | 0.0221744i | 0.0111600 | − | 0.000836324i | ||||
\(704\) | − | 2.22691i | − | 0.0839298i | ||||||
\(705\) | −17.2686 | − | 18.5634i | −0.650375 | − | 0.699137i | ||||
\(706\) | −46.8100 | + | 3.50793i | −1.76172 | + | 0.132023i | ||||
\(707\) | 19.4354 | − | 17.9636i | 0.730942 | − | 0.675589i | ||||
\(708\) | 46.2631 | + | 18.0885i | 1.73867 | + | 0.679808i | ||||
\(709\) | −27.5611 | − | 18.7909i | −1.03508 | − | 0.705706i | −0.0784222 | − | 0.996920i | \(-0.524988\pi\) |
−0.956658 | + | 0.291215i | \(0.905941\pi\) | |||||||
\(710\) | 21.0446 | − | 6.49140i | 0.789790 | − | 0.243618i | ||||
\(711\) | −22.6441 | + | 21.1189i | −0.849218 | + | 0.792021i | ||||
\(712\) | −9.76800 | − | 0.732011i | −0.366071 | − | 0.0274333i | ||||
\(713\) | −0.0838921 | + | 1.11946i | −0.00314178 | + | 0.0419242i | ||||
\(714\) | 6.54240 | + | 28.7505i | 0.244843 | + | 1.07596i | ||||
\(715\) | −0.0269374 | − | 0.359455i | −0.00100740 | − | 0.0134429i | ||||
\(716\) | 9.22661i | 0.344815i | ||||||||
\(717\) | 1.56453 | − | 1.45541i | 0.0584286 | − | 0.0543534i | ||||
\(718\) | 40.2025 | + | 19.3605i | 1.50034 | + | 0.722527i | ||||
\(719\) | 1.23462 | + | 3.14576i | 0.0460436 | + | 0.117317i | 0.952046 | − | 0.305956i | \(-0.0989762\pi\) |
−0.906002 | + | 0.423274i | \(0.860881\pi\) | |||||||
\(720\) | 10.4216 | − | 9.71964i | 0.388389 | − | 0.362229i | ||||
\(721\) | −21.6348 | − | 23.4074i | −0.805724 | − | 0.871738i | ||||
\(722\) | 6.44766 | − | 20.9028i | 0.239957 | − | 0.777922i | ||||
\(723\) | −10.7539 | + | 47.3960i | −0.399943 | + | 1.76268i | ||||
\(724\) | −10.9017 | + | 35.3425i | −0.405159 | + | 1.31349i | ||||
\(725\) | −5.81183 | + | 2.28097i | −0.215846 | + | 0.0847133i | ||||
\(726\) | −19.7829 | − | 34.1638i | −0.734212 | − | 1.26794i | ||||
\(727\) | 4.22758 | + | 28.0482i | 0.156792 | + | 1.04025i | 0.919382 | + | 0.393366i | \(0.128689\pi\) |
−0.762590 | + | 0.646882i | \(0.776072\pi\) | |||||||
\(728\) | −0.159073 | + | 2.06900i | −0.00589565 | + | 0.0766821i | ||||
\(729\) | −16.9961 | − | 20.9793i | −0.629485 | − | 0.777013i | ||||
\(730\) | −28.3718 | + | 4.27636i | −1.05009 | + | 0.158275i | ||||
\(731\) | 6.22941 | − | 2.99992i | 0.230403 | − | 0.110956i | ||||
\(732\) | 13.7522 | − | 17.2901i | 0.508295 | − | 0.639061i | ||||
\(733\) | 5.18385 | − | 1.18318i | 0.191470 | − | 0.0437018i | −0.125710 | − | 0.992067i | \(-0.540121\pi\) |
0.317180 | + | 0.948365i | \(0.397264\pi\) | |||||||
\(734\) | 26.9100 | + | 46.6094i | 0.993265 | + | 1.72038i | ||||
\(735\) | 2.61017 | + | 17.6264i | 0.0962777 | + | 0.650160i | ||||
\(736\) | −2.52901 | + | 4.38038i | −0.0932206 | + | 0.161463i | ||||
\(737\) | 0.746323 | − | 2.41952i | 0.0274912 | − | 0.0891241i | ||||
\(738\) | 0.358728 | + | 0.523270i | 0.0132050 | + | 0.0192619i | ||||
\(739\) | 11.0597 | + | 7.54037i | 0.406837 | + | 0.277377i | 0.749399 | − | 0.662118i | \(-0.230342\pi\) |
−0.342562 | + | 0.939495i | \(0.611295\pi\) | |||||||
\(740\) | −0.127399 | + | 0.324608i | −0.00468329 | + | 0.0119328i | ||||
\(741\) | −2.49719 | + | 5.20252i | −0.0917367 | + | 0.191120i | ||||
\(742\) | 17.0308 | + | 75.2876i | 0.625221 | + | 2.76390i | ||||
\(743\) | −30.2278 | − | 11.8636i | −1.10895 | − | 0.435232i | −0.261018 | − | 0.965334i | \(-0.584058\pi\) |
−0.847934 | + | 0.530102i | \(0.822154\pi\) | |||||||
\(744\) | −1.85004 | − | 1.06496i | −0.0678257 | − | 0.0390433i | ||||
\(745\) | 14.5519 | + | 11.6047i | 0.533140 | + | 0.425165i | ||||
\(746\) | 6.85173 | + | 7.38441i | 0.250860 | + | 0.270362i | ||||
\(747\) | −1.27007 | + | 2.21291i | −0.0464695 | + | 0.0809662i | ||||
\(748\) | −1.50619 | + | 0.343778i | −0.0550717 | + | 0.0125698i | ||||
\(749\) | −18.7246 | − | 14.9917i | −0.684183 | − | 0.547785i | ||||
\(750\) | −20.8092 | − | 35.9361i | −0.759843 | − | 1.31220i | ||||
\(751\) | −15.8971 | + | 19.9344i | −0.580095 | + | 0.727416i | −0.982129 | − | 0.188208i | \(-0.939732\pi\) |
0.402034 | + | 0.915625i | \(0.368303\pi\) | |||||||
\(752\) | 26.5990 | − | 18.1349i | 0.969967 | − | 0.661312i | ||||
\(753\) | −32.2294 | + | 7.39964i | −1.17451 | + | 0.269658i | ||||
\(754\) | −4.53037 | + | 2.61561i | −0.164986 | + | 0.0952549i | ||||
\(755\) | −10.6882 | − | 5.14716i | −0.388983 | − | 0.187324i | ||||
\(756\) | 13.8406 | − | 28.8815i | 0.503378 | − | 1.05041i | ||||
\(757\) | 31.1414 | − | 14.9969i | 1.13185 | − | 0.545072i | 0.228319 | − | 0.973586i | \(-0.426677\pi\) |
0.903535 | + | 0.428514i | \(0.140963\pi\) | |||||||
\(758\) | 11.5217 | − | 16.8992i | 0.418486 | − | 0.613807i | ||||
\(759\) | −0.000297465 | − | 0.232042i | −1.07973e−5 | − | 0.00842260i | ||||
\(760\) | −2.15244 | − | 1.99717i | −0.0780771 | − | 0.0724450i | ||||
\(761\) | −17.5944 | + | 8.47303i | −0.637797 | + | 0.307147i | −0.724695 | − | 0.689070i | \(-0.758019\pi\) |
0.0868972 | + | 0.996217i | \(0.472305\pi\) | |||||||
\(762\) | −20.8490 | + | 53.3232i | −0.755278 | + | 1.93170i | ||||
\(763\) | −16.1259 | − | 15.0207i | −0.583795 | − | 0.543787i | ||||
\(764\) | −4.76061 | + | 9.88551i | −0.172233 | + | 0.357645i | ||||
\(765\) | −11.2843 | − | 7.65120i | −0.407985 | − | 0.276630i | ||||
\(766\) | 2.89457 | − | 1.67118i | 0.104585 | − | 0.0603823i | ||||
\(767\) | −6.10874 | + | 12.6849i | −0.220574 | + | 0.458026i | ||||
\(768\) | 9.29283 | + | 13.5926i | 0.335326 | + | 0.490481i | ||||
\(769\) | −4.13890 | − | 13.4180i | −0.149253 | − | 0.483865i | 0.849813 | − | 0.527084i | \(-0.176715\pi\) |
−0.999066 | + | 0.0432194i | \(0.986239\pi\) | |||||||
\(770\) | −1.71628 | + | 0.255295i | −0.0618504 | + | 0.00920018i | ||||
\(771\) | 6.27129 | + | 12.9799i | 0.225855 | + | 0.467459i | ||||
\(772\) | −1.39138 | − | 18.5667i | −0.0500770 | − | 0.668232i | ||||
\(773\) | −1.35008 | + | 1.25269i | −0.0485591 | + | 0.0450562i | −0.704079 | − | 0.710122i | \(-0.748640\pi\) |
0.655520 | + | 0.755178i | \(0.272449\pi\) | |||||||
\(774\) | −13.6154 | − | 3.07093i | −0.489397 | − | 0.110382i | ||||
\(775\) | 3.47157 | − | 3.74146i | 0.124702 | − | 0.134397i | ||||
\(776\) | −0.293561 | + | 0.0442472i | −0.0105382 | + | 0.00158838i | ||||
\(777\) | 0.000304113 | − | 0.466749i | 1.09100e−5 | − | 0.0167445i | ||||
\(778\) | −4.13745 | − | 0.623620i | −0.148335 | − | 0.0223579i | ||||
\(779\) | −0.231491 | + | 0.184608i | −0.00829401 | + | 0.00661425i | ||||
\(780\) | −4.23522 | − | 5.29685i | −0.151645 | − | 0.189658i | ||||
\(781\) | −0.962985 | − | 1.20754i | −0.0344583 | − | 0.0432093i | ||||
\(782\) | 3.84076 | + | 1.18472i | 0.137345 | + | 0.0423654i | ||||
\(783\) | 11.2885 | − | 1.74589i | 0.403417 | − | 0.0623930i | ||||
\(784\) | −22.6252 | − | 0.0874917i | −0.808042 | − | 0.00312470i | ||||
\(785\) | 3.41184 | + | 1.96983i | 0.121774 | + | 0.0703061i | ||||
\(786\) | −8.92439 | − | 6.06780i | −0.318322 | − | 0.216431i | ||||
\(787\) | −2.46599 | − | 16.3608i | −0.0879032 | − | 0.583199i | −0.988809 | − | 0.149185i | \(-0.952335\pi\) |
0.900906 | − | 0.434014i | \(-0.142903\pi\) | |||||||
\(788\) | −62.8693 | − | 4.71140i | −2.23962 | − | 0.167837i | ||||
\(789\) | 29.6983 | − | 37.3386i | 1.05729 | − | 1.32929i | ||||
\(790\) | 29.3808 | − | 11.5311i | 1.04532 | − | 0.410259i | ||||
\(791\) | 9.46108 | − | 3.69211i | 0.336397 | − | 0.131276i | ||||
\(792\) | 0.398029 | + | 0.190425i | 0.0141434 | + | 0.00676646i | ||||
\(793\) | 4.59017 | + | 4.25906i | 0.163002 | + | 0.151244i | ||||
\(794\) | −29.7187 | + | 37.2661i | −1.05468 | + | 1.32252i | ||||
\(795\) | −29.5154 | − | 20.0679i | −1.04680 | − | 0.711735i | ||||
\(796\) | 18.4753 | − | 38.3644i | 0.654840 | − | 1.35979i | ||||
\(797\) | 25.1786 | − | 23.3623i | 0.891871 | − | 0.827535i | −0.0939083 | − | 0.995581i | \(-0.529936\pi\) |
0.985779 | + | 0.168046i | \(0.0537456\pi\) | |||||||
\(798\) | 25.8521 | + | 10.1656i | 0.915154 | + | 0.359860i | ||||
\(799\) | −22.5774 | − | 20.9487i | −0.798729 | − | 0.741113i | ||||
\(800\) | 21.4068 | − | 8.40156i | 0.756845 | − | 0.297040i | ||||
\(801\) | −21.3295 | + | 37.1636i | −0.753642 | + | 1.31311i | ||||
\(802\) | 14.9658 | + | 25.9215i | 0.528460 | + | 0.915319i | ||||
\(803\) | 1.00612 | + | 1.74264i | 0.0355051 | + | 0.0614966i | ||||
\(804\) | −14.0999 | − | 45.5035i | −0.497265 | − | 1.60479i | ||||
\(805\) | 2.25933 | + | 0.891767i | 0.0796309 | + | 0.0314306i | ||||
\(806\) | 2.40903 | − | 3.53340i | 0.0848546 | − | 0.124459i | ||||
\(807\) | 45.5533 | + | 17.8110i | 1.60355 | + | 0.626977i | ||||
\(808\) | 6.68807 | + | 1.52651i | 0.235286 | + | 0.0537024i | ||||
\(809\) | 5.44219 | + | 17.6431i | 0.191337 | + | 0.620300i | 0.999508 | + | 0.0313523i | \(0.00998139\pi\) |
−0.808171 | + | 0.588948i | \(0.799542\pi\) | |||||||
\(810\) | 8.24703 | + | 26.2574i | 0.289771 | + | 0.922592i | ||||
\(811\) | −4.43570 | − | 9.21083i | −0.155759 | − | 0.323436i | 0.808457 | − | 0.588555i | \(-0.200303\pi\) |
−0.964216 | + | 0.265119i | \(0.914589\pi\) | |||||||
\(812\) | 7.61090 | + | 11.2096i | 0.267090 | + | 0.393381i | ||||
\(813\) | 26.9928 | + | 24.9813i | 0.946677 | + | 0.876133i | ||||
\(814\) | 0.0454516 | 0.00159308 | ||||||||
\(815\) | 5.41316 | − | 9.37587i | 0.189615 | − | 0.328423i | ||||
\(816\) | 11.7585 | − | 12.7052i | 0.411629 | − | 0.444773i | ||||
\(817\) | 0.970855 | − | 6.44120i | 0.0339659 | − | 0.225349i | ||||
\(818\) | 16.3880 | − | 71.8007i | 0.572994 | − | 2.51045i | ||||
\(819\) | 7.86415 | + | 4.53376i | 0.274796 | + | 0.158423i | ||||
\(820\) | −0.0774289 | − | 0.339238i | −0.00270394 | − | 0.0118467i | ||||
\(821\) | −38.9736 | + | 2.92067i | −1.36019 | + | 0.101932i | −0.734747 | − | 0.678341i | \(-0.762699\pi\) |
−0.625439 | + | 0.780273i | \(0.715080\pi\) | |||||||
\(822\) | 33.4430 | − | 49.1872i | 1.16646 | − | 1.71560i | ||||
\(823\) | 19.1472 | + | 48.7863i | 0.667429 | + | 1.70058i | 0.712570 | + | 0.701601i | \(0.247531\pi\) |
−0.0451406 | + | 0.998981i | \(0.514374\pi\) | |||||||
\(824\) | 1.83849 | − | 8.05494i | 0.0640467 | − | 0.280607i | ||||
\(825\) | −0.656717 | + | 0.825667i | −0.0228640 | + | 0.0287460i | ||||
\(826\) | 63.0403 | + | 24.8822i | 2.19345 | + | 0.865764i | ||||
\(827\) | −23.6482 | − | 18.8588i | −0.822328 | − | 0.655785i | 0.119144 | − | 0.992877i | \(-0.461985\pi\) |
−0.941472 | + | 0.337092i | \(0.890557\pi\) | |||||||
\(828\) | −2.46854 | − | 3.60081i | −0.0857875 | − | 0.125137i | ||||
\(829\) | 27.4848 | − | 40.3128i | 0.954586 | − | 1.40012i | 0.0384464 | − | 0.999261i | \(-0.487759\pi\) |
0.916139 | − | 0.400860i | \(-0.131288\pi\) | |||||||
\(830\) | 2.03340 | − | 1.62158i | 0.0705804 | − | 0.0562860i | ||||
\(831\) | −22.4741 | − | 46.5153i | −0.779618 | − | 1.61360i | ||||
\(832\) | 10.2843 | − | 5.93764i | 0.356543 | − | 0.205850i | ||||
\(833\) | 4.73500 | + | 21.1215i | 0.164058 | + | 0.731818i | ||||
\(834\) | 15.5012 | − | 50.4834i | 0.536763 | − | 1.74810i | ||||
\(835\) | −9.34620 | + | 8.67201i | −0.323439 | + | 0.300107i | ||||
\(836\) | −0.531757 | + | 1.35489i | −0.0183912 | + | 0.0468600i | ||||
\(837\) | −7.69511 | + | 5.28990i | −0.265982 | + | 0.182846i | ||||
\(838\) | −3.94730 | − | 26.1887i | −0.136357 | − | 0.904672i | ||||
\(839\) | 0.640043 | + | 1.63080i | 0.0220967 | + | 0.0563015i | 0.941496 | − | 0.337023i | \(-0.109420\pi\) |
−0.919400 | + | 0.393325i | \(0.871325\pi\) | |||||||
\(840\) | −3.38782 | + | 3.13933i | −0.116891 | + | 0.108317i | ||||
\(841\) | 8.82937 | − | 22.4969i | 0.304461 | − | 0.775754i | ||||
\(842\) | 74.5637 | + | 17.0187i | 2.56963 | + | 0.586502i | ||||
\(843\) | −30.5594 | + | 20.8925i | −1.05252 | + | 0.719575i | ||||
\(844\) | 1.71290 | + | 7.50470i | 0.0589604 | + | 0.258322i | ||||
\(845\) | −14.1975 | + | 9.67970i | −0.488409 | + | 0.332992i | ||||
\(846\) | 9.42413 | + | 61.4555i | 0.324008 | + | 2.11288i | ||||
\(847\) | −14.4422 | − | 25.1268i | −0.496241 | − | 0.863365i | ||||
\(848\) | 30.8251 | − | 33.2215i | 1.05854 | − | 1.14083i | ||||
\(849\) | −12.7518 | + | 8.71797i | −0.437639 | + | 0.299200i | ||||
\(850\) | −10.2941 | − | 15.0987i | −0.353085 | − | 0.517881i | ||||
\(851\) | −0.0551010 | − | 0.0318126i | −0.00188884 | − | 0.00109052i | ||||
\(852\) | −27.7788 | − | 8.52963i | −0.951685 | − | 0.292220i | ||||
\(853\) | 21.3725 | + | 31.3477i | 0.731780 | + | 1.07332i | 0.994113 | + | 0.108347i | \(0.0345556\pi\) |
−0.262333 | + | 0.964977i | \(0.584492\pi\) | |||||||
\(854\) | 18.8388 | − | 23.5297i | 0.644651 | − | 0.805169i | ||||
\(855\) | −11.9446 | + | 4.72329i | −0.408497 | + | 0.161533i | ||||
\(856\) | 0.464638 | − | 6.20017i | 0.0158810 | − | 0.211917i | ||||
\(857\) | 6.87783 | − | 30.1337i | 0.234942 | − | 1.02935i | −0.710536 | − | 0.703661i | \(-0.751547\pi\) |
0.945478 | − | 0.325687i | \(-0.105596\pi\) | |||||||
\(858\) | −0.440995 | + | 0.766092i | −0.0150553 | + | 0.0261539i | ||||
\(859\) | −6.06734 | − | 12.5990i | −0.207015 | − | 0.429871i | 0.771448 | − | 0.636292i | \(-0.219533\pi\) |
−0.978463 | + | 0.206421i | \(0.933818\pi\) | |||||||
\(860\) | 6.32503 | + | 4.31233i | 0.215682 | + | 0.147049i | ||||
\(861\) | 0.262112 | + | 0.384986i | 0.00893275 | + | 0.0131203i | ||||
\(862\) | 16.5462 | − | 11.2810i | 0.563567 | − | 0.384234i | ||||
\(863\) | 8.02243 | + | 4.63175i | 0.273087 | + | 0.157667i | 0.630290 | − | 0.776360i | \(-0.282936\pi\) |
−0.357203 | + | 0.934027i | \(0.616270\pi\) | |||||||
\(864\) | −41.5791 | + | 6.43067i | −1.41455 | + | 0.218776i | ||||
\(865\) | −0.449915 | − | 6.00370i | −0.0152976 | − | 0.204132i | ||||
\(866\) | −60.4089 | − | 9.10517i | −2.05278 | − | 0.309406i | ||||
\(867\) | 11.1652 | + | 6.42716i | 0.379190 | + | 0.218278i | ||||
\(868\) | −9.58173 | − | 5.55675i | −0.325225 | − | 0.188608i | ||||
\(869\) | −1.50559 | − | 1.62264i | −0.0510735 | − | 0.0550441i | ||||
\(870\) | −11.3550 | − | 2.57638i | −0.384969 | − | 0.0873476i | ||||
\(871\) | 13.1637 | − | 3.00453i | 0.446036 | − | 0.101805i | ||||
\(872\) | 0.851386 | − | 5.64858i | 0.0288316 | − | 0.191285i | ||||
\(873\) | −0.379608 | + | 1.24196i | −0.0128478 | + | 0.0420338i | ||||
\(874\) | 2.96056 | − | 2.36097i | 0.100142 | − | 0.0798610i | ||||
\(875\) | −15.1915 | − | 26.4302i | −0.513565 | − | 0.893506i | ||||
\(876\) | 34.1306 | + | 16.3826i | 1.15317 | + | 0.553515i | ||||
\(877\) | −26.0313 | − | 32.6422i | −0.879014 | − | 1.10225i | −0.994054 | − | 0.108888i | \(-0.965271\pi\) |
0.115040 | − | 0.993361i | \(-0.463301\pi\) | |||||||
\(878\) | −5.07987 | + | 67.7861i | −0.171437 | + | 2.28767i | ||||
\(879\) | −6.92771 | + | 46.3656i | −0.233666 | + | 1.56387i | ||||
\(880\) | 0.692921 | + | 0.746792i | 0.0233584 | + | 0.0251743i | ||||
\(881\) | −22.3909 | −0.754370 | −0.377185 | − | 0.926138i | \(-0.623108\pi\) | ||||
−0.377185 | + | 0.926138i | \(0.623108\pi\) | |||||||
\(882\) | 19.0103 | − | 39.3441i | 0.640111 | − | 1.32478i | ||||
\(883\) | −35.2890 | −1.18757 | −0.593784 | − | 0.804624i | \(-0.702367\pi\) | ||||
−0.593784 | + | 0.804624i | \(0.702367\pi\) | |||||||
\(884\) | −5.60360 | − | 6.03924i | −0.188469 | − | 0.203122i | ||||
\(885\) | −29.1564 | + | 11.4862i | −0.980081 | + | 0.386104i | ||||
\(886\) | 5.77885 | − | 77.1134i | 0.194144 | − | 2.59068i | ||||
\(887\) | −3.64043 | − | 4.56496i | −0.122234 | − | 0.153276i | 0.716949 | − | 0.697125i | \(-0.245538\pi\) |
−0.839183 | + | 0.543849i | \(0.816966\pi\) | |||||||
\(888\) | 0.0998751 | − | 0.0682814i | 0.00335159 | − | 0.00229137i | ||||
\(889\) | −15.4314 | + | 39.0960i | −0.517551 | + | 1.31124i | ||||
\(890\) | 34.1489 | − | 27.2328i | 1.14467 | − | 0.912847i | ||||
\(891\) | 1.50287 | − | 1.21116i | 0.0503482 | − | 0.0405754i | ||||
\(892\) | 5.13241 | − | 34.0513i | 0.171846 | − | 1.14012i | ||||
\(893\) | −28.2891 | + | 6.45680i | −0.946658 | + | 0.216068i | ||||
\(894\) | −13.5094 | − | 43.5979i | −0.451822 | − | 1.45813i | ||||
\(895\) | −3.95911 | − | 4.26691i | −0.132338 | − | 0.142627i | ||||
\(896\) | −8.04303 | − | 11.8461i | −0.268699 | − | 0.395751i | ||||
\(897\) | 1.07082 | − | 0.620071i | 0.0357537 | − | 0.0207036i | ||||
\(898\) | 19.6309 | + | 2.95888i | 0.655092 | + | 0.0987393i | ||||
\(899\) | −0.295225 | − | 3.93950i | −0.00984630 | − | 0.131390i | ||||
\(900\) | −1.43256 | + | 19.7971i | −0.0477519 | + | 0.659904i | ||||
\(901\) | −37.5486 | − | 21.6787i | −1.25092 | − | 0.722222i | ||||
\(902\) | −0.0374730 | + | 0.0255487i | −0.00124771 | + | 0.000850677i | ||||
\(903\) | −9.98802 | − | 2.28655i | −0.332380 | − | 0.0760916i | ||||
\(904\) | 2.17508 | + | 1.48294i | 0.0723421 | + | 0.0493220i | ||||
\(905\) | −10.1238 | − | 21.0223i | −0.336526 | − | 0.698804i | ||||
\(906\) | 14.5779 | + | 25.1751i | 0.484319 | + | 0.836388i | ||||
\(907\) | 10.4072 | − | 45.5969i | 0.345565 | − | 1.51402i | −0.441563 | − | 0.897230i | \(-0.645576\pi\) |
0.787128 | − | 0.616789i | \(-0.211567\pi\) | |||||||
\(908\) | 2.26871 | − | 30.2738i | 0.0752898 | − | 1.00467i | ||||
\(909\) | 18.6501 | − | 23.5099i | 0.618586 | − | 0.779775i | ||||
\(910\) | −5.75513 | − | 7.24541i | −0.190781 | − | 0.240183i | ||||
\(911\) | −22.4434 | − | 32.9184i | −0.743582 | − | 1.09063i | −0.992516 | − | 0.122114i | \(-0.961033\pi\) |
0.248934 | − | 0.968520i | \(-0.419920\pi\) | |||||||
\(912\) | −3.64958 | − | 15.8959i | −0.120850 | − | 0.526366i | ||||
\(913\) | −0.157962 | − | 0.0911997i | −0.00522780 | − | 0.00301827i | ||||
\(914\) | 26.3710 | + | 38.6792i | 0.872275 | + | 1.27939i | ||||
\(915\) | 1.05935 | + | 13.8969i | 0.0350210 | + | 0.459419i | ||||
\(916\) | −1.26248 | + | 1.36063i | −0.0417135 | + | 0.0449564i | ||||
\(917\) | −6.53718 | − | 4.47552i | −0.215877 | − | 0.147795i | ||||
\(918\) | 12.3342 | + | 31.0751i | 0.407089 | + | 1.02563i | ||||
\(919\) | −6.17674 | + | 4.21123i | −0.203752 | + | 0.138916i | −0.660898 | − | 0.750476i | \(-0.729824\pi\) |
0.457146 | + | 0.889392i | \(0.348872\pi\) | |||||||
\(920\) | 0.140100 | + | 0.613819i | 0.00461897 | + | 0.0202370i | ||||
\(921\) | 2.09713 | + | 1.00662i | 0.0691028 | + | 0.0331691i | ||||
\(922\) | −36.3010 | − | 8.28546i | −1.19551 | − | 0.272867i | ||||
\(923\) | 3.00905 | − | 7.66694i | 0.0990441 | − | 0.252360i | ||||
\(924\) | 2.06212 | + | 0.994722i | 0.0678389 | + | 0.0327240i | ||||
\(925\) | 0.105684 | + | 0.269277i | 0.00347486 | + | 0.00885379i | ||||
\(926\) | 11.3096 | + | 75.0345i | 0.371657 | + | 2.46579i | ||||
\(927\) | −28.3147 | − | 22.4617i | −0.929978 | − | 0.737740i | ||||
\(928\) | 6.50296 | − | 16.5693i | 0.213470 | − | 0.543913i | ||||
\(929\) | 32.0829 | − | 29.7686i | 1.05261 | − | 0.976676i | 0.0528468 | − | 0.998603i | \(-0.483171\pi\) |
0.999760 | + | 0.0219267i | \(0.00698004\pi\) | |||||||
\(930\) | 9.27717 | − | 2.12997i | 0.304210 | − | 0.0698445i | ||||
\(931\) | 18.9543 | + | 7.52375i | 0.621204 | + | 0.246581i | ||||
\(932\) | 45.1762 | − | 26.0825i | 1.47980 | − | 0.854360i | ||||
\(933\) | 54.0082 | + | 3.97774i | 1.76815 | + | 0.130225i | ||||
\(934\) | 9.71030 | − | 7.74371i | 0.317731 | − | 0.253382i | ||||
\(935\) | 0.549032 | − | 0.805283i | 0.0179553 | − | 0.0263356i | ||||
\(936\) | 0.181851 | + | 2.34591i | 0.00594399 | + | 0.0766784i | ||||
\(937\) | −26.6576 | − | 21.2587i | −0.870865 | − | 0.694491i | 0.0824094 | − | 0.996599i | \(-0.473738\pi\) |
−0.953274 | + | 0.302107i | \(0.902310\pi\) | |||||||
\(938\) | −19.0377 | − | 62.1452i | −0.621604 | − | 2.02911i | ||||
\(939\) | −39.8397 | − | 5.95265i | −1.30012 | − | 0.194257i | ||||
\(940\) | 7.58804 | − | 33.2454i | 0.247494 | − | 1.08434i | ||||
\(941\) | −9.11939 | − | 23.2358i | −0.297284 | − | 0.757466i | −0.998987 | − | 0.0449971i | \(-0.985672\pi\) |
0.701704 | − | 0.712469i | \(-0.252423\pi\) | |||||||
\(942\) | −4.20295 | − | 8.69897i | −0.136939 | − | 0.283428i | ||||
\(943\) | 0.0633105 | − | 0.00474447i | 0.00206167 | − | 0.000154501i | ||||
\(944\) | −8.85428 | − | 38.7931i | −0.288182 | − | 1.26261i | ||||
\(945\) | 5.99227 | + | 19.2954i | 0.194929 | + | 0.627679i | ||||
\(946\) | 0.222028 | − | 0.972769i | 0.00721876 | − | 0.0316275i | ||||
\(947\) | −0.408567 | + | 2.71066i | −0.0132766 | + | 0.0880848i | −0.994488 | − | 0.104852i | \(-0.966563\pi\) |
0.981211 | + | 0.192937i | \(0.0618012\pi\) | |||||||
\(948\) | −40.6138 | − | 9.21507i | −1.31907 | − | 0.299291i | ||||
\(949\) | −5.36524 | + | 9.29287i | −0.174163 | + | 0.301659i | ||||
\(950\) | −17.2164 | −0.558573 | ||||||||
\(951\) | 4.15631 | − | 1.28789i | 0.134777 | − | 0.0417626i | ||||
\(952\) | −3.82423 | + | 4.10559i | −0.123944 | + | 0.133063i | ||||
\(953\) | 18.7298 | + | 38.8929i | 0.606719 | + | 1.25986i | 0.947510 | + | 0.319726i | \(0.103591\pi\) |
−0.340791 | + | 0.940139i | \(0.610695\pi\) | |||||||
\(954\) | 32.1853 | + | 81.3926i | 1.04204 | + | 2.63518i | ||||
\(955\) | −2.04027 | − | 6.61438i | −0.0660215 | − | 0.214036i | ||||
\(956\) | 2.80194 | + | 0.639525i | 0.0906212 | + | 0.0206837i | ||||
\(957\) | 0.122740 | + | 0.807304i | 0.00396762 | + | 0.0260964i | ||||
\(958\) | 10.3286 | − | 15.1492i | 0.333701 | − | 0.489449i | ||||
\(959\) | 24.6670 | − | 36.0300i | 0.796540 | − | 1.16347i | ||||
\(960\) | 25.7766 | + | 5.84859i | 0.831937 | + | 0.188762i | ||||
\(961\) | −13.8852 | − | 24.0499i | −0.447911 | − | 0.775804i | ||||
\(962\) | 0.121188 | + | 0.209904i | 0.00390726 | + | 0.00676758i | ||||
\(963\) | −23.5893 | − | 13.5388i | −0.760155 | − | 0.436281i | ||||
\(964\) | −60.8488 | + | 23.8814i | −1.95981 | + | 0.769168i | ||||
\(965\) | 8.61038 | + | 7.98927i | 0.277178 | + | 0.257184i | ||||
\(966\) | −3.35218 | − | 4.92364i | −0.107855 | − | 0.158415i | ||||
\(967\) | −7.52147 | + | 6.97890i | −0.241874 | + | 0.224426i | −0.791790 | − | 0.610794i | \(-0.790850\pi\) |
0.549916 | + | 0.835220i | \(0.314660\pi\) | |||||||
\(968\) | 3.25945 | − | 6.76831i | 0.104763 | − | 0.217542i | ||||
\(969\) | −14.0495 | + | 6.78807i | −0.451334 | + | 0.218064i | ||||
\(970\) | 0.825368 | − | 1.03498i | 0.0265010 | − | 0.0332311i | ||||
\(971\) | −9.60696 | − | 8.91395i | −0.308302 | − | 0.286062i | 0.510813 | − | 0.859692i | \(-0.329344\pi\) |
−0.819115 | + | 0.573630i | \(0.805535\pi\) | |||||||
\(972\) | 10.4813 | − | 34.7692i | 0.336188 | − | 1.11522i | ||||
\(973\) | 11.4988 | − | 37.0239i | 0.368635 | − | 1.18693i | ||||
\(974\) | −1.01149 | + | 0.396982i | −0.0324104 | + | 0.0127201i | ||||
\(975\) | −5.56410 | − | 0.831359i | −0.178194 | − | 0.0266248i | ||||
\(976\) | −17.6475 | − | 1.32249i | −0.564881 | − | 0.0423320i | ||||
\(977\) | −3.97932 | − | 26.4011i | −0.127310 | − | 0.844645i | −0.957763 | − | 0.287557i | \(-0.907157\pi\) |
0.830454 | − | 0.557088i | \(-0.188081\pi\) | |||||||
\(978\) | −23.9051 | + | 11.5499i | −0.764401 | + | 0.369324i | ||||
\(979\) | −2.65282 | − | 1.53160i | −0.0847844 | − | 0.0489503i | ||||
\(980\) | −17.6311 | + | 16.2329i | −0.563206 | + | 0.518540i | ||||
\(981\) | −20.6825 | − | 14.0236i | −0.660342 | − | 0.447738i | ||||
\(982\) | 5.01392 | + | 1.54659i | 0.160001 | + | 0.0493537i | ||||
\(983\) | 28.4037 | + | 35.6172i | 0.905939 | + | 1.13601i | 0.990212 | + | 0.139568i | \(0.0445715\pi\) |
−0.0842738 | + | 0.996443i | \(0.526857\pi\) | |||||||
\(984\) | −0.0439615 | + | 0.112436i | −0.00140144 | + | 0.00358432i | ||||
\(985\) | 31.0959 | − | 24.7982i | 0.990799 | − | 0.790136i | ||||
\(986\) | −13.9864 | − | 2.10812i | −0.445419 | − | 0.0671361i | ||||
\(987\) | 6.77331 | + | 45.1375i | 0.215597 | + | 1.43674i | ||||
\(988\) | −7.67499 | + | 1.15682i | −0.244174 | + | 0.0368033i | ||||
\(989\) | −0.950027 | + | 1.02389i | −0.0302091 | + | 0.0325577i | ||||
\(990\) | −1.87859 | + | 0.584746i | −0.0597054 | + | 0.0185844i | ||||
\(991\) | −19.9847 | + | 18.5431i | −0.634834 | + | 0.589040i | −0.930518 | − | 0.366246i | \(-0.880643\pi\) |
0.295684 | + | 0.955286i | \(0.404452\pi\) | |||||||
\(992\) | 1.08741 | + | 14.5104i | 0.0345252 | + | 0.460707i | ||||
\(993\) | 5.94208 | − | 8.73947i | 0.188566 | − | 0.277339i | ||||
\(994\) | −37.8629 | − | 11.7594i | −1.20094 | − | 0.372985i | ||||
\(995\) | 7.91801 | + | 25.6696i | 0.251018 | + | 0.813780i | ||||
\(996\) | −3.42179 | + | 0.260839i | −0.108424 | + | 0.00826501i | ||||
\(997\) | 19.9912 | − | 41.5121i | 0.633127 | − | 1.31470i | −0.299581 | − | 0.954071i | \(-0.596847\pi\) |
0.932708 | − | 0.360631i | \(-0.117439\pi\) | |||||||
\(998\) | 53.0905 | − | 30.6518i | 1.68055 | − | 0.970267i | ||||
\(999\) | −0.0808917 | − | 0.523025i | −0.00255930 | − | 0.0165478i |
(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 | 441.2.bd.a.47.47 | ✓ | 648 | |
9.5 | odd | 6 | 441.2.bn.a.194.47 | yes | 648 | ||
49.24 | odd | 42 | 441.2.bn.a.416.47 | yes | 648 | ||
441.122 | even | 42 | inner | 441.2.bd.a.122.47 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.bd.a.47.47 | ✓ | 648 | 1.1 | even | 1 | trivial | |
441.2.bd.a.122.47 | yes | 648 | 441.122 | even | 42 | inner | |
441.2.bn.a.194.47 | yes | 648 | 9.5 | odd | 6 | ||
441.2.bn.a.416.47 | yes | 648 | 49.24 | odd | 42 |