Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [177,3,Mod(5,177)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(177, base_ring=CyclotomicField(58))
chi = DirichletCharacter(H, H._module([29, 6]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("177.5");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 177 = 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 177.h (of order \(58\), degree \(28\), 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: | \(4.82290067918\) |
Analytic rank: | \(0\) |
Dimension: | \(1064\) |
Relative dimension: | \(38\) over \(\Q(\zeta_{58})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{58}]$ |
Embedding invariants
Embedding label | 5.16 | ||
Character | \(\chi\) | \(=\) | 177.5 |
Dual form | 177.3.h.a.71.16 |
$q$-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 \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(e\left(\frac{3}{29}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.225119 | + | 0.668129i | −0.112559 | + | 0.334065i | −0.989096 | − | 0.147270i | \(-0.952951\pi\) |
0.876537 | + | 0.481335i | \(0.159848\pi\) | |||||||
\(3\) | 0.0215190 | − | 2.99992i | 0.00717300 | − | 0.999974i | ||||
\(4\) | 2.78865 | + | 2.11988i | 0.697164 | + | 0.529970i | ||||
\(5\) | −5.48264 | − | 2.18448i | −1.09653 | − | 0.436897i | −0.249463 | − | 0.968384i | \(-0.580254\pi\) |
−0.847066 | + | 0.531487i | \(0.821633\pi\) | |||||||
\(6\) | 1.99949 | + | 0.689717i | 0.333249 | + | 0.114953i | ||||
\(7\) | −11.1057 | + | 5.13804i | −1.58653 | + | 0.734005i | −0.997263 | − | 0.0739364i | \(-0.976444\pi\) |
−0.589263 | + | 0.807941i | \(0.700582\pi\) | |||||||
\(8\) | −4.37833 | + | 2.96858i | −0.547292 | + | 0.371073i | ||||
\(9\) | −8.99907 | − | 0.129111i | −0.999897 | − | 0.0143456i | ||||
\(10\) | 2.69377 | − | 3.17135i | 0.269377 | − | 0.317135i | ||||
\(11\) | 5.78043 | + | 1.60493i | 0.525493 | + | 0.145903i | 0.520136 | − | 0.854083i | \(-0.325881\pi\) |
0.00535683 | + | 0.999986i | \(0.498295\pi\) | |||||||
\(12\) | 6.41948 | − | 8.32013i | 0.534957 | − | 0.693344i | ||||
\(13\) | −8.84851 | + | 16.6901i | −0.680654 | + | 1.28385i | 0.266736 | + | 0.963770i | \(0.414055\pi\) |
−0.947390 | + | 0.320081i | \(0.896290\pi\) | |||||||
\(14\) | −0.932772 | − | 8.57670i | −0.0666266 | − | 0.612621i | ||||
\(15\) | −6.67127 | + | 16.4005i | −0.444751 | + | 1.09337i | ||||
\(16\) | 2.75077 | + | 9.90739i | 0.171923 | + | 0.619212i | ||||
\(17\) | 4.58854 | − | 9.91797i | 0.269914 | − | 0.583410i | −0.724462 | − | 0.689315i | \(-0.757912\pi\) |
0.994376 | + | 0.105905i | \(0.0337738\pi\) | |||||||
\(18\) | 2.11212 | − | 5.98348i | 0.117340 | − | 0.332416i | ||||
\(19\) | 14.5787 | − | 3.20902i | 0.767302 | − | 0.168896i | 0.185962 | − | 0.982557i | \(-0.440460\pi\) |
0.581340 | + | 0.813661i | \(0.302529\pi\) | |||||||
\(20\) | −10.6584 | − | 17.7143i | −0.532918 | − | 0.885716i | ||||
\(21\) | 15.1747 | + | 33.4268i | 0.722606 | + | 1.59175i | ||||
\(22\) | −2.37358 | + | 3.50077i | −0.107890 | + | 0.159126i | ||||
\(23\) | −24.7858 | − | 4.06343i | −1.07764 | − | 0.176671i | −0.403285 | − | 0.915074i | \(-0.632132\pi\) |
−0.674359 | + | 0.738403i | \(0.735580\pi\) | |||||||
\(24\) | 8.81131 | + | 13.1985i | 0.367138 | + | 0.549939i | ||||
\(25\) | 7.13752 | + | 6.76102i | 0.285501 | + | 0.270441i | ||||
\(26\) | −9.15915 | − | 9.66919i | −0.352275 | − | 0.371892i | ||||
\(27\) | −0.580973 | + | 26.9937i | −0.0215175 | + | 0.999768i | ||||
\(28\) | −41.8619 | − | 9.21450i | −1.49507 | − | 0.329089i | ||||
\(29\) | −7.17466 | − | 21.2936i | −0.247402 | − | 0.734263i | −0.997349 | − | 0.0727654i | \(-0.976818\pi\) |
0.749947 | − | 0.661498i | \(-0.230079\pi\) | |||||||
\(30\) | −9.45583 | − | 8.14933i | −0.315194 | − | 0.271644i | ||||
\(31\) | −30.1472 | − | 6.63590i | −0.972490 | − | 0.214061i | −0.299813 | − | 0.953998i | \(-0.596924\pi\) |
−0.672677 | + | 0.739937i | \(0.734855\pi\) | |||||||
\(32\) | −28.3670 | − | 1.53801i | −0.886467 | − | 0.0480629i | ||||
\(33\) | 4.93905 | − | 17.3063i | 0.149668 | − | 0.524433i | ||||
\(34\) | 5.59352 | + | 5.29846i | 0.164515 | + | 0.155837i | ||||
\(35\) | 72.1124 | − | 3.90982i | 2.06036 | − | 0.111709i | ||||
\(36\) | −24.8216 | − | 19.4370i | −0.689489 | − | 0.539917i | ||||
\(37\) | 4.27137 | − | 6.29981i | 0.115443 | − | 0.170265i | −0.765578 | − | 0.643343i | \(-0.777547\pi\) |
0.881020 | + | 0.473078i | \(0.156857\pi\) | |||||||
\(38\) | −1.13791 | + | 10.4629i | −0.0299449 | + | 0.275339i | ||||
\(39\) | 49.8785 | + | 26.9040i | 1.27893 | + | 0.689846i | ||||
\(40\) | 30.4897 | − | 6.71128i | 0.762242 | − | 0.167782i | ||||
\(41\) | −39.7713 | + | 6.52018i | −0.970033 | + | 0.159029i | −0.625910 | − | 0.779896i | \(-0.715272\pi\) |
−0.344123 | + | 0.938924i | \(0.611824\pi\) | |||||||
\(42\) | −25.7495 | + | 2.61368i | −0.613084 | + | 0.0622305i | ||||
\(43\) | −5.66638 | − | 20.4084i | −0.131776 | − | 0.474615i | 0.867982 | − | 0.496595i | \(-0.165417\pi\) |
−0.999758 | + | 0.0219804i | \(0.993003\pi\) | |||||||
\(44\) | 12.7174 | + | 16.7294i | 0.289031 | + | 0.380214i | ||||
\(45\) | 49.0567 | + | 20.3662i | 1.09015 | + | 0.452582i | ||||
\(46\) | 8.29466 | − | 15.6454i | 0.180319 | − | 0.340117i | ||||
\(47\) | 56.6852 | − | 22.5855i | 1.20607 | − | 0.480542i | 0.321481 | − | 0.946916i | \(-0.395819\pi\) |
0.884587 | + | 0.466374i | \(0.154440\pi\) | |||||||
\(48\) | 29.7806 | − | 8.03891i | 0.620429 | − | 0.167477i | ||||
\(49\) | 65.2148 | − | 76.7768i | 1.33091 | − | 1.56687i | ||||
\(50\) | −6.12402 | + | 3.24675i | −0.122480 | + | 0.0649350i | ||||
\(51\) | −29.6544 | − | 13.9787i | −0.581459 | − | 0.274092i | ||||
\(52\) | −60.0563 | + | 27.7850i | −1.15493 | + | 0.534327i | ||||
\(53\) | −70.5103 | + | 59.8920i | −1.33038 | + | 1.13004i | −0.349181 | + | 0.937055i | \(0.613540\pi\) |
−0.981202 | + | 0.192982i | \(0.938184\pi\) | |||||||
\(54\) | −17.9045 | − | 6.46497i | −0.331565 | − | 0.119722i | ||||
\(55\) | −28.1861 | − | 21.4265i | −0.512474 | − | 0.389573i | ||||
\(56\) | 33.3717 | − | 55.4642i | 0.595923 | − | 0.990432i | ||||
\(57\) | −9.31310 | − | 43.8041i | −0.163388 | − | 0.768493i | ||||
\(58\) | 15.8421 | 0.273139 | ||||||||
\(59\) | 17.7986 | + | 56.2513i | 0.301672 | + | 0.953412i | ||||
\(60\) | −53.3709 | + | 31.5930i | −0.889516 | + | 0.526551i | ||||
\(61\) | 92.1210 | + | 31.0392i | 1.51018 | + | 0.508839i | 0.948026 | − | 0.318193i | \(-0.103076\pi\) |
0.562154 | + | 0.827032i | \(0.309973\pi\) | |||||||
\(62\) | 11.2203 | − | 18.6484i | 0.180973 | − | 0.300780i | ||||
\(63\) | 100.604 | − | 44.8037i | 1.59689 | − | 0.711170i | ||||
\(64\) | −7.80978 | + | 19.6011i | −0.122028 | + | 0.306267i | ||||
\(65\) | 84.9724 | − | 72.1762i | 1.30727 | − | 1.11040i | ||||
\(66\) | 10.4510 | + | 7.19590i | 0.158348 | + | 0.109029i | ||||
\(67\) | 1.75417 | + | 2.58721i | 0.0261817 | + | 0.0386151i | 0.840555 | − | 0.541727i | \(-0.182229\pi\) |
−0.814373 | + | 0.580342i | \(0.802919\pi\) | |||||||
\(68\) | 33.8208 | − | 17.9306i | 0.497364 | − | 0.263686i | ||||
\(69\) | −12.7233 | + | 74.2681i | −0.184396 | + | 1.07635i | ||||
\(70\) | −13.6216 | + | 49.0606i | −0.194594 | + | 0.700866i | ||||
\(71\) | −73.3264 | + | 29.2159i | −1.03277 | + | 0.411492i | −0.824070 | − | 0.566489i | \(-0.808302\pi\) |
−0.208697 | + | 0.977980i | \(0.566922\pi\) | |||||||
\(72\) | 39.7842 | − | 26.1492i | 0.552559 | − | 0.363184i | ||||
\(73\) | 54.7298 | − | 5.95223i | 0.749724 | − | 0.0815374i | 0.274724 | − | 0.961523i | \(-0.411414\pi\) |
0.475000 | + | 0.879986i | \(0.342448\pi\) | |||||||
\(74\) | 3.24752 | + | 4.27204i | 0.0438854 | + | 0.0577302i | ||||
\(75\) | 20.4361 | − | 21.2665i | 0.272482 | − | 0.283554i | ||||
\(76\) | 47.4578 | + | 21.9563i | 0.624444 | + | 0.288899i | ||||
\(77\) | −72.4417 | + | 11.8762i | −0.940802 | + | 0.154237i | ||||
\(78\) | −29.2039 | + | 27.2687i | −0.374409 | + | 0.349598i | ||||
\(79\) | −3.39211 | + | 2.04097i | −0.0429381 | + | 0.0258350i | −0.536861 | − | 0.843671i | \(-0.680390\pi\) |
0.493923 | + | 0.869506i | \(0.335562\pi\) | |||||||
\(80\) | 6.56104 | − | 60.3277i | 0.0820130 | − | 0.754097i | ||||
\(81\) | 80.9667 | + | 2.32375i | 0.999588 | + | 0.0286883i | ||||
\(82\) | 4.59696 | − | 28.0402i | 0.0560605 | − | 0.341954i | ||||
\(83\) | −35.9048 | + | 1.94670i | −0.432588 | + | 0.0234542i | −0.269147 | − | 0.963099i | \(-0.586742\pi\) |
−0.163440 | + | 0.986553i | \(0.552259\pi\) | |||||||
\(84\) | −28.5436 | + | 125.384i | −0.339805 | + | 1.49267i | ||||
\(85\) | −46.8230 | + | 44.3531i | −0.550859 | + | 0.521801i | ||||
\(86\) | 14.9111 | + | 0.808456i | 0.173385 | + | 0.00940065i | ||||
\(87\) | −64.0337 | + | 21.0652i | −0.736019 | + | 0.242129i | ||||
\(88\) | −30.0730 | + | 10.1328i | −0.341739 | + | 0.115145i | ||||
\(89\) | 20.7159 | + | 61.4826i | 0.232763 | + | 0.690815i | 0.998844 | + | 0.0480714i | \(0.0153075\pi\) |
−0.766081 | + | 0.642744i | \(0.777796\pi\) | |||||||
\(90\) | −24.6508 | + | 28.1914i | −0.273898 | + | 0.313238i | ||||
\(91\) | 12.5146 | − | 230.818i | 0.137523 | − | 2.53647i | ||||
\(92\) | −60.5051 | − | 63.8745i | −0.657664 | − | 0.694288i | ||||
\(93\) | −20.5559 | + | 90.2964i | −0.221031 | + | 0.970929i | ||||
\(94\) | 2.32909 | + | 42.9575i | 0.0247775 | + | 0.456994i | ||||
\(95\) | −86.9401 | − | 14.2531i | −0.915158 | − | 0.150033i | ||||
\(96\) | −5.22435 | + | 85.0656i | −0.0544203 | + | 0.886100i | ||||
\(97\) | 57.8328 | + | 6.28969i | 0.596214 | + | 0.0648422i | 0.401251 | − | 0.915968i | \(-0.368576\pi\) |
0.194963 | + | 0.980811i | \(0.437541\pi\) | |||||||
\(98\) | 36.6157 | + | 60.8558i | 0.373630 | + | 0.620978i | ||||
\(99\) | −51.8113 | − | 15.1892i | −0.523346 | − | 0.153426i | ||||
\(100\) | 5.57153 | + | 33.9848i | 0.0557153 | + | 0.339848i | ||||
\(101\) | 54.5782 | − | 117.969i | 0.540378 | − | 1.16801i | −0.424529 | − | 0.905414i | \(-0.639560\pi\) |
0.964907 | − | 0.262593i | \(-0.0845777\pi\) | |||||||
\(102\) | 16.0153 | − | 16.6661i | 0.157013 | − | 0.163393i | ||||
\(103\) | −139.705 | + | 106.201i | −1.35636 | + | 1.03108i | −0.361235 | + | 0.932475i | \(0.617645\pi\) |
−0.995127 | + | 0.0986045i | \(0.968562\pi\) | |||||||
\(104\) | −10.8041 | − | 99.3422i | −0.103886 | − | 0.955213i | ||||
\(105\) | −10.1774 | − | 216.416i | −0.0969274 | − | 2.06110i | ||||
\(106\) | −24.1424 | − | 60.5928i | −0.227758 | − | 0.571630i | ||||
\(107\) | −160.914 | − | 44.6776i | −1.50387 | − | 0.417548i | −0.584649 | − | 0.811287i | \(-0.698768\pi\) |
−0.919222 | + | 0.393739i | \(0.871181\pi\) | |||||||
\(108\) | −58.8436 | + | 74.0446i | −0.544848 | + | 0.685598i | ||||
\(109\) | 10.6377 | + | 20.0649i | 0.0975939 | + | 0.184082i | 0.927502 | − | 0.373819i | \(-0.121952\pi\) |
−0.829908 | + | 0.557901i | \(0.811607\pi\) | |||||||
\(110\) | 20.6609 | − | 14.0084i | 0.187826 | − | 0.127349i | ||||
\(111\) | −18.8070 | − | 12.9494i | −0.169433 | − | 0.116661i | ||||
\(112\) | −81.4538 | − | 95.8948i | −0.727266 | − | 0.856203i | ||||
\(113\) | 55.5835 | + | 22.1465i | 0.491889 | + | 0.195987i | 0.602875 | − | 0.797835i | \(-0.294022\pi\) |
−0.110986 | + | 0.993822i | \(0.535401\pi\) | |||||||
\(114\) | 31.3634 | + | 3.63879i | 0.275117 | + | 0.0319192i | ||||
\(115\) | 127.015 | + | 76.4226i | 1.10448 | + | 0.664544i | ||||
\(116\) | 25.1323 | − | 74.5900i | 0.216658 | − | 0.643017i | ||||
\(117\) | 81.7832 | − | 149.053i | 0.699002 | − | 1.27395i | ||||
\(118\) | −41.5900 | − | 0.771435i | −0.352457 | − | 0.00653758i | ||||
\(119\) | 133.722i | 1.12371i | ||||||||
\(120\) | −19.4772 | − | 91.6111i | −0.162310 | − | 0.763426i | ||||
\(121\) | −72.8422 | − | 43.8277i | −0.602001 | − | 0.362212i | ||||
\(122\) | −41.4764 | + | 54.5612i | −0.339970 | + | 0.447223i | ||||
\(123\) | 18.7042 | + | 119.451i | 0.152067 | + | 0.971149i | ||||
\(124\) | −70.0028 | − | 82.4136i | −0.564539 | − | 0.664626i | ||||
\(125\) | 37.5895 | + | 81.2484i | 0.300716 | + | 0.649987i | ||||
\(126\) | 7.28674 | + | 77.3028i | 0.0578313 | + | 0.613514i | ||||
\(127\) | 37.6328 | + | 70.9829i | 0.296321 | + | 0.558921i | 0.986311 | − | 0.164899i | \(-0.0527297\pi\) |
−0.689990 | + | 0.723819i | \(0.742385\pi\) | |||||||
\(128\) | −97.9458 | − | 83.1959i | −0.765202 | − | 0.649968i | ||||
\(129\) | −61.3457 | + | 16.5595i | −0.475548 | + | 0.128368i | ||||
\(130\) | 29.0941 | + | 73.0208i | 0.223801 | + | 0.561698i | ||||
\(131\) | 8.79194 | + | 4.66119i | 0.0671140 | + | 0.0355816i | 0.501627 | − | 0.865084i | \(-0.332735\pi\) |
−0.434513 | + | 0.900665i | \(0.643080\pi\) | |||||||
\(132\) | 50.4606 | − | 37.7911i | 0.382277 | − | 0.286296i | ||||
\(133\) | −145.419 | + | 110.544i | −1.09337 | + | 0.831161i | ||||
\(134\) | −2.12349 | + | 0.589584i | −0.0158469 | + | 0.00439988i | ||||
\(135\) | 62.1527 | − | 146.728i | 0.460390 | − | 1.08687i | ||||
\(136\) | 9.35216 | + | 57.0457i | 0.0687659 | + | 0.419453i | ||||
\(137\) | 48.3208 | + | 219.524i | 0.352707 | + | 1.60236i | 0.734830 | + | 0.678252i | \(0.237262\pi\) |
−0.382123 | + | 0.924112i | \(0.624807\pi\) | |||||||
\(138\) | −46.7565 | − | 25.2200i | −0.338815 | − | 0.182754i | ||||
\(139\) | 167.012 | + | 18.1637i | 1.20153 | + | 0.130674i | 0.686907 | − | 0.726745i | \(-0.258968\pi\) |
0.514619 | + | 0.857419i | \(0.327933\pi\) | |||||||
\(140\) | 209.385 | + | 141.967i | 1.49561 | + | 1.01405i | ||||
\(141\) | −66.5348 | − | 170.537i | −0.471878 | − | 1.20948i | ||||
\(142\) | −3.01284 | − | 55.5686i | −0.0212172 | − | 0.391328i | ||||
\(143\) | −77.9345 | + | 82.2744i | −0.544996 | + | 0.575346i | ||||
\(144\) | −23.4753 | − | 89.5125i | −0.163023 | − | 0.621615i | ||||
\(145\) | −7.17952 | + | 132.418i | −0.0495139 | + | 0.913230i | ||||
\(146\) | −8.34387 | + | 37.9066i | −0.0571498 | + | 0.259634i | ||||
\(147\) | −228.921 | − | 197.292i | −1.55729 | − | 1.34212i | ||||
\(148\) | 25.2662 | − | 8.51318i | 0.170718 | − | 0.0575215i | ||||
\(149\) | −13.1208 | + | 59.6084i | −0.0880591 | + | 0.400057i | −0.999946 | − | 0.0103848i | \(-0.996694\pi\) |
0.911887 | + | 0.410441i | \(0.134625\pi\) | |||||||
\(150\) | 9.60822 | + | 18.4415i | 0.0640548 | + | 0.122943i | ||||
\(151\) | −84.9094 | + | 80.4305i | −0.562314 | + | 0.532652i | −0.915192 | − | 0.403017i | \(-0.867962\pi\) |
0.352878 | + | 0.935669i | \(0.385203\pi\) | |||||||
\(152\) | −54.3043 | + | 57.3284i | −0.357265 | + | 0.377160i | ||||
\(153\) | −42.5731 | + | 88.6601i | −0.278256 | + | 0.579478i | ||||
\(154\) | 8.37316 | − | 51.0740i | 0.0543712 | − | 0.331649i | ||||
\(155\) | 150.790 | + | 102.238i | 0.972840 | + | 0.659602i | ||||
\(156\) | 82.0605 | + | 180.762i | 0.526029 | + | 1.15873i | ||||
\(157\) | −101.400 | + | 61.0102i | −0.645858 | + | 0.388600i | −0.800468 | − | 0.599376i | \(-0.795415\pi\) |
0.154610 | + | 0.987976i | \(0.450588\pi\) | |||||||
\(158\) | −0.600001 | − | 2.72583i | −0.00379747 | − | 0.0172521i | ||||
\(159\) | 178.154 | + | 212.814i | 1.12047 | + | 1.33845i | ||||
\(160\) | 152.166 | + | 70.3996i | 0.951039 | + | 0.439997i | ||||
\(161\) | 296.142 | − | 82.2233i | 1.83939 | − | 0.510704i | ||||
\(162\) | −19.7797 | + | 53.5731i | −0.122097 | + | 0.330698i | ||||
\(163\) | −160.420 | + | 17.4467i | −0.984169 | + | 0.107035i | −0.586029 | − | 0.810290i | \(-0.699310\pi\) |
−0.398140 | + | 0.917325i | \(0.630344\pi\) | |||||||
\(164\) | −124.731 | − | 66.1279i | −0.760552 | − | 0.403219i | ||||
\(165\) | −64.8844 | + | 84.0950i | −0.393239 | + | 0.509667i | ||||
\(166\) | 6.78220 | − | 24.4273i | 0.0408566 | − | 0.147152i | ||||
\(167\) | −66.1218 | − | 56.1644i | −0.395939 | − | 0.336314i | 0.427196 | − | 0.904159i | \(-0.359501\pi\) |
−0.823135 | + | 0.567845i | \(0.807777\pi\) | |||||||
\(168\) | −165.670 | − | 101.306i | −0.986132 | − | 0.603012i | ||||
\(169\) | −105.421 | − | 155.485i | −0.623794 | − | 0.920027i | ||||
\(170\) | −19.0929 | − | 41.2685i | −0.112311 | − | 0.242756i | ||||
\(171\) | −131.609 | + | 26.9960i | −0.769646 | + | 0.157871i | ||||
\(172\) | 27.4619 | − | 68.9241i | 0.159662 | − | 0.400722i | ||||
\(173\) | 65.6916 | − | 86.4158i | 0.379720 | − | 0.499513i | −0.566041 | − | 0.824377i | \(-0.691525\pi\) |
0.945761 | + | 0.324864i | \(0.105319\pi\) | |||||||
\(174\) | 0.340905 | − | 47.5249i | 0.00195923 | − | 0.273132i | ||||
\(175\) | −114.005 | − | 38.4129i | −0.651459 | − | 0.219502i | ||||
\(176\) | 61.6838i | 0.350476i | ||||||||
\(177\) | 169.133 | − | 52.1841i | 0.955551 | − | 0.294825i | ||||
\(178\) | −45.7418 | −0.256977 | ||||||||
\(179\) | −22.9528 | + | 68.1216i | −0.128228 | + | 0.380568i | −0.992467 | − | 0.122515i | \(-0.960904\pi\) |
0.864239 | + | 0.503082i | \(0.167801\pi\) | |||||||
\(180\) | 93.6282 | + | 160.789i | 0.520157 | + | 0.893270i | ||||
\(181\) | 94.9154 | + | 72.1528i | 0.524394 | + | 0.398634i | 0.833606 | − | 0.552359i | \(-0.186272\pi\) |
−0.309212 | + | 0.950993i | \(0.600065\pi\) | |||||||
\(182\) | 151.399 | + | 60.3230i | 0.831864 | + | 0.331445i | ||||
\(183\) | 95.0975 | − | 275.688i | 0.519658 | − | 1.50649i | ||||
\(184\) | 120.583 | − | 55.7878i | 0.655344 | − | 0.303194i | ||||
\(185\) | −37.1803 | + | 25.2088i | −0.200974 | + | 0.136264i | ||||
\(186\) | −55.7022 | − | 34.0615i | −0.299474 | − | 0.183126i | ||||
\(187\) | 42.4413 | − | 49.9658i | 0.226959 | − | 0.267197i | ||||
\(188\) | 205.954 | + | 57.1828i | 1.09550 | + | 0.304164i | ||||
\(189\) | −132.243 | − | 302.769i | −0.699697 | − | 1.60195i | ||||
\(190\) | 29.0948 | − | 54.8786i | 0.153130 | − | 0.288834i | ||||
\(191\) | −33.8733 | − | 311.460i | −0.177347 | − | 1.63068i | −0.657473 | − | 0.753478i | \(-0.728374\pi\) |
0.480126 | − | 0.877200i | \(-0.340591\pi\) | |||||||
\(192\) | 58.6336 | + | 23.8505i | 0.305383 | + | 0.124221i | ||||
\(193\) | 40.5808 | + | 146.159i | 0.210263 | + | 0.757300i | 0.991164 | + | 0.132645i | \(0.0423469\pi\) |
−0.780900 | + | 0.624656i | \(0.785239\pi\) | |||||||
\(194\) | −17.2216 | + | 37.2238i | −0.0887710 | + | 0.191875i | ||||
\(195\) | −214.694 | − | 256.464i | −1.10100 | − | 1.31520i | ||||
\(196\) | 344.619 | − | 75.8564i | 1.75826 | − | 0.387023i | ||||
\(197\) | −6.31742 | − | 10.4996i | −0.0320681 | − | 0.0532977i | 0.840409 | − | 0.541953i | \(-0.182315\pi\) |
−0.872477 | + | 0.488656i | \(0.837487\pi\) | |||||||
\(198\) | 21.8120 | − | 31.1973i | 0.110162 | − | 0.157562i | ||||
\(199\) | 121.024 | − | 178.497i | 0.608160 | − | 0.896970i | −0.391571 | − | 0.920148i | \(-0.628068\pi\) |
0.999731 | + | 0.0231784i | \(0.00737856\pi\) | |||||||
\(200\) | −51.3211 | − | 8.41367i | −0.256605 | − | 0.0420683i | ||||
\(201\) | 7.79919 | − | 5.20671i | 0.0388019 | − | 0.0259040i | ||||
\(202\) | 66.5318 | + | 63.0223i | 0.329365 | + | 0.311991i | ||||
\(203\) | 189.087 | + | 199.617i | 0.931463 | + | 0.983333i | ||||
\(204\) | −53.0627 | − | 101.846i | −0.260111 | − | 0.499243i | ||||
\(205\) | 232.295 | + | 51.1321i | 1.13315 | + | 0.249425i | ||||
\(206\) | −39.5058 | − | 117.249i | −0.191776 | − | 0.569170i | ||||
\(207\) | 222.525 | + | 39.7672i | 1.07500 | + | 0.192112i | ||||
\(208\) | −189.695 | − | 41.7551i | −0.911996 | − | 0.200746i | ||||
\(209\) | 89.4215 | + | 4.84830i | 0.427854 | + | 0.0231976i | ||||
\(210\) | 146.885 | + | 41.9195i | 0.699452 | + | 0.199617i | ||||
\(211\) | −294.125 | − | 278.610i | −1.39396 | − | 1.32043i | −0.889458 | − | 0.457017i | \(-0.848918\pi\) |
−0.504501 | − | 0.863411i | \(-0.668324\pi\) | |||||||
\(212\) | −323.593 | + | 17.5447i | −1.52638 | + | 0.0827580i | ||||
\(213\) | 86.0676 | + | 220.602i | 0.404073 | + | 1.03569i | ||||
\(214\) | 66.0753 | − | 97.4537i | 0.308763 | − | 0.455391i | ||||
\(215\) | −13.5152 | + | 124.270i | −0.0628614 | + | 0.578001i | ||||
\(216\) | −77.5895 | − | 119.912i | −0.359211 | − | 0.555150i | ||||
\(217\) | 368.901 | − | 81.2011i | 1.70000 | − | 0.374199i | ||||
\(218\) | −15.8007 | + | 2.59039i | −0.0724803 | + | 0.0118825i | ||||
\(219\) | −16.6785 | − | 164.313i | −0.0761575 | − | 0.750289i | ||||
\(220\) | −33.1796 | − | 119.502i | −0.150816 | − | 0.543192i | ||||
\(221\) | 124.930 | + | 164.342i | 0.565293 | + | 0.743630i | ||||
\(222\) | 12.8857 | − | 9.65037i | 0.0580435 | − | 0.0434701i | ||||
\(223\) | 56.4913 | − | 106.554i | 0.253324 | − | 0.477820i | −0.723935 | − | 0.689868i | \(-0.757668\pi\) |
0.977259 | + | 0.212048i | \(0.0680133\pi\) | |||||||
\(224\) | 322.937 | − | 128.670i | 1.44168 | − | 0.574419i | ||||
\(225\) | −63.3581 | − | 61.7644i | −0.281592 | − | 0.274509i | ||||
\(226\) | −27.3096 | + | 32.1514i | −0.120839 | + | 0.142263i | ||||
\(227\) | −315.263 | + | 167.142i | −1.38883 | + | 0.736309i | −0.984014 | − | 0.178092i | \(-0.943008\pi\) |
−0.404811 | + | 0.914400i | \(0.632663\pi\) | |||||||
\(228\) | 66.8885 | − | 141.897i | 0.293370 | − | 0.622356i | ||||
\(229\) | −254.770 | + | 117.869i | −1.11253 | + | 0.514712i | −0.888041 | − | 0.459764i | \(-0.847934\pi\) |
−0.224491 | + | 0.974476i | \(0.572072\pi\) | |||||||
\(230\) | −79.6538 | + | 67.6585i | −0.346321 | + | 0.294167i | ||||
\(231\) | 34.0689 | + | 217.575i | 0.147484 | + | 0.941884i | ||||
\(232\) | 94.6250 | + | 71.9321i | 0.407866 | + | 0.310052i | ||||
\(233\) | 108.095 | − | 179.655i | 0.463925 | − | 0.771049i | −0.533266 | − | 0.845948i | \(-0.679036\pi\) |
0.997191 | + | 0.0748981i | \(0.0238631\pi\) | |||||||
\(234\) | 81.1754 | + | 88.1963i | 0.346904 | + | 0.376907i | ||||
\(235\) | −360.122 | −1.53244 | ||||||||
\(236\) | −69.6117 | + | 194.596i | −0.294965 | + | 0.824561i | ||||
\(237\) | 6.04975 | + | 10.2200i | 0.0255264 | + | 0.0431223i | ||||
\(238\) | −89.3435 | − | 30.1033i | −0.375393 | − | 0.126485i | ||||
\(239\) | −96.3302 | + | 160.102i | −0.403055 | + | 0.669883i | −0.990209 | − | 0.139592i | \(-0.955421\pi\) |
0.587154 | + | 0.809475i | \(0.300248\pi\) | |||||||
\(240\) | −180.837 | − | 20.9808i | −0.753489 | − | 0.0874200i | ||||
\(241\) | −96.9443 | + | 243.312i | −0.402259 | + | 1.00959i | 0.578728 | + | 0.815520i | \(0.303549\pi\) |
−0.980987 | + | 0.194073i | \(0.937830\pi\) | |||||||
\(242\) | 45.6807 | − | 38.8016i | 0.188763 | − | 0.160337i | ||||
\(243\) | 8.71341 | − | 242.844i | 0.0358576 | − | 0.999357i | ||||
\(244\) | 191.094 | + | 281.843i | 0.783173 | + | 1.15509i | ||||
\(245\) | −525.267 | + | 278.479i | −2.14395 | + | 1.13665i | ||||
\(246\) | −84.0196 | − | 14.3939i | −0.341543 | − | 0.0585119i | ||||
\(247\) | −75.4413 | + | 271.715i | −0.305430 | + | 1.10006i | ||||
\(248\) | 151.694 | − | 60.4403i | 0.611668 | − | 0.243711i | ||||
\(249\) | 5.06731 | + | 107.753i | 0.0203507 | + | 0.432745i | ||||
\(250\) | −62.7465 | + | 6.82410i | −0.250986 | + | 0.0272964i | ||||
\(251\) | −268.351 | − | 353.009i | −1.06913 | − | 1.40641i | −0.907747 | − | 0.419519i | \(-0.862199\pi\) |
−0.161380 | − | 0.986892i | \(-0.551594\pi\) | |||||||
\(252\) | 375.529 | + | 88.3268i | 1.49019 | + | 0.350503i | ||||
\(253\) | −136.751 | − | 63.2678i | −0.540518 | − | 0.250070i | ||||
\(254\) | −55.8976 | + | 9.16395i | −0.220069 | + | 0.0360785i | ||||
\(255\) | 132.048 | + | 141.420i | 0.517836 | + | 0.554587i | ||||
\(256\) | 5.31762 | − | 3.19951i | 0.0207720 | − | 0.0124981i | ||||
\(257\) | 6.79724 | − | 62.4996i | 0.0264484 | − | 0.243189i | −0.973450 | − | 0.228902i | \(-0.926487\pi\) |
0.999898 | − | 0.0142874i | \(-0.00454797\pi\) | |||||||
\(258\) | 2.74618 | − | 44.7147i | 0.0106441 | − | 0.173313i | ||||
\(259\) | −15.0679 | + | 91.9101i | −0.0581772 | + | 0.354865i | ||||
\(260\) | 389.963 | − | 21.1432i | 1.49986 | − | 0.0813200i | ||||
\(261\) | 61.8161 | + | 192.549i | 0.236843 | + | 0.737737i | ||||
\(262\) | −5.09351 | + | 4.82483i | −0.0194409 | + | 0.0184154i | ||||
\(263\) | 43.9769 | + | 2.38436i | 0.167212 | + | 0.00906599i | 0.137555 | − | 0.990494i | \(-0.456076\pi\) |
0.0296574 | + | 0.999560i | \(0.490558\pi\) | |||||||
\(264\) | 29.7504 | + | 90.4347i | 0.112691 | + | 0.342556i | ||||
\(265\) | 517.416 | − | 174.338i | 1.95251 | − | 0.657878i | ||||
\(266\) | −41.1215 | − | 122.044i | −0.154592 | − | 0.458813i | ||||
\(267\) | 184.889 | − | 60.8230i | 0.692467 | − | 0.227802i | ||||
\(268\) | −0.592796 | + | 10.9335i | −0.00221193 | + | 0.0407966i | ||||
\(269\) | 245.688 | + | 259.370i | 0.913338 | + | 0.964200i | 0.999485 | − | 0.0320829i | \(-0.0102141\pi\) |
−0.0861469 | + | 0.996282i | \(0.527455\pi\) | |||||||
\(270\) | 84.0415 | + | 74.5573i | 0.311265 | + | 0.276138i | ||||
\(271\) | −3.14534 | − | 58.0124i | −0.0116064 | − | 0.214068i | −0.998584 | − | 0.0532070i | \(-0.983056\pi\) |
0.986977 | − | 0.160861i | \(-0.0514271\pi\) | |||||||
\(272\) | 110.883 | + | 18.1784i | 0.407659 | + | 0.0668323i | ||||
\(273\) | −692.168 | − | 42.5098i | −2.53541 | − | 0.155714i | ||||
\(274\) | −157.548 | − | 17.1344i | −0.574993 | − | 0.0625343i | ||||
\(275\) | 30.4070 | + | 50.5368i | 0.110571 | + | 0.183770i | ||||
\(276\) | −192.921 | + | 180.136i | −0.698987 | + | 0.652667i | ||||
\(277\) | −70.0096 | − | 427.039i | −0.252742 | − | 1.54166i | −0.742528 | − | 0.669815i | \(-0.766373\pi\) |
0.489786 | − | 0.871843i | \(-0.337075\pi\) | |||||||
\(278\) | −49.7333 | + | 107.497i | −0.178897 | + | 0.386679i | ||||
\(279\) | 270.440 | + | 63.6093i | 0.969319 | + | 0.227990i | ||||
\(280\) | −304.126 | + | 231.190i | −1.08616 | + | 0.825680i | ||||
\(281\) | 12.5895 | + | 115.758i | 0.0448025 | + | 0.411952i | 0.994967 | + | 0.100203i | \(0.0319492\pi\) |
−0.950165 | + | 0.311749i | \(0.899085\pi\) | |||||||
\(282\) | 128.919 | − | 6.06268i | 0.457160 | − | 0.0214989i | ||||
\(283\) | −157.802 | − | 396.052i | −0.557603 | − | 1.39948i | −0.889836 | − | 0.456280i | \(-0.849181\pi\) |
0.332233 | − | 0.943197i | \(-0.392198\pi\) | |||||||
\(284\) | −266.416 | − | 73.9701i | −0.938085 | − | 0.260458i | ||||
\(285\) | −44.6291 | + | 260.507i | −0.156593 | + | 0.914059i | ||||
\(286\) | −37.4254 | − | 70.5918i | −0.130858 | − | 0.246825i | ||||
\(287\) | 408.187 | − | 276.758i | 1.42225 | − | 0.964312i | ||||
\(288\) | 255.078 | + | 17.5032i | 0.885687 | + | 0.0607749i | ||||
\(289\) | 109.783 | + | 129.247i | 0.379873 | + | 0.447221i | ||||
\(290\) | −86.8564 | − | 34.6067i | −0.299505 | − | 0.119334i | ||||
\(291\) | 20.1131 | − | 173.358i | 0.0691172 | − | 0.595733i | ||||
\(292\) | 165.241 | + | 99.4220i | 0.565892 | + | 0.340486i | ||||
\(293\) | 57.8940 | − | 171.823i | 0.197590 | − | 0.586428i | −0.802355 | − | 0.596847i | \(-0.796420\pi\) |
0.999946 | + | 0.0104192i | \(0.00331658\pi\) | |||||||
\(294\) | 183.351 | − | 108.535i | 0.623642 | − | 0.369166i | ||||
\(295\) | 25.2965 | − | 347.287i | 0.0857507 | − | 1.17724i | ||||
\(296\) | 40.2626i | 0.136022i | ||||||||
\(297\) | −46.6813 | + | 155.103i | −0.157176 | + | 0.522232i | ||||
\(298\) | −36.8724 | − | 22.1854i | −0.123733 | − | 0.0744476i | ||||
\(299\) | 287.136 | − | 377.722i | 0.960323 | − | 1.26328i | ||||
\(300\) | 102.072 | − | 15.9828i | 0.340239 | − | 0.0532761i | ||||
\(301\) | 167.788 | + | 197.536i | 0.557436 | + | 0.656264i | ||||
\(302\) | −34.6232 | − | 74.8369i | −0.114646 | − | 0.247804i | ||||
\(303\) | −352.723 | − | 166.269i | −1.16410 | − | 0.548742i | ||||
\(304\) | 71.8959 | + | 135.610i | 0.236500 | + | 0.446085i | ||||
\(305\) | −437.262 | − | 371.414i | −1.43365 | − | 1.21775i | ||||
\(306\) | −49.6524 | − | 48.4034i | −0.162263 | − | 0.158181i | ||||
\(307\) | 23.7411 | + | 59.5857i | 0.0773326 | + | 0.194090i | 0.962560 | − | 0.271068i | \(-0.0873768\pi\) |
−0.885228 | + | 0.465158i | \(0.845997\pi\) | |||||||
\(308\) | −227.191 | − | 120.449i | −0.737634 | − | 0.391069i | ||||
\(309\) | 315.589 | + | 421.390i | 1.02132 | + | 1.36372i | ||||
\(310\) | −102.254 | + | 77.7316i | −0.329852 | + | 0.250747i | ||||
\(311\) | −84.8479 | + | 23.5579i | −0.272823 | + | 0.0757489i | −0.401245 | − | 0.915971i | \(-0.631422\pi\) |
0.128422 | + | 0.991720i | \(0.459009\pi\) | |||||||
\(312\) | −298.251 | + | 30.2738i | −0.955934 | + | 0.0970313i | ||||
\(313\) | 45.6523 | + | 278.467i | 0.145854 | + | 0.889671i | 0.953806 | + | 0.300423i | \(0.0971277\pi\) |
−0.807952 | + | 0.589248i | \(0.799424\pi\) | |||||||
\(314\) | −17.9357 | − | 81.4826i | −0.0571200 | − | 0.259499i | ||||
\(315\) | −649.450 | + | 25.8743i | −2.06175 | + | 0.0821406i | ||||
\(316\) | −13.7860 | − | 1.49932i | −0.0436267 | − | 0.00474469i | ||||
\(317\) | 59.2308 | + | 40.1595i | 0.186848 | + | 0.126686i | 0.651025 | − | 0.759057i | \(-0.274339\pi\) |
−0.464177 | + | 0.885743i | \(0.653650\pi\) | |||||||
\(318\) | −182.293 | + | 71.1214i | −0.573249 | + | 0.223652i | ||||
\(319\) | −7.29786 | − | 134.601i | −0.0228773 | − | 0.421947i | ||||
\(320\) | 85.6365 | − | 90.4053i | 0.267614 | − | 0.282517i | ||||
\(321\) | −137.492 | + | 481.769i | −0.428324 | + | 1.50084i | ||||
\(322\) | −11.7313 | + | 216.371i | −0.0364326 | + | 0.671959i | ||||
\(323\) | 35.0681 | − | 159.316i | 0.108570 | − | 0.493239i | ||||
\(324\) | 220.862 | + | 178.120i | 0.681673 | + | 0.549752i | ||||
\(325\) | −175.998 | + | 59.3007i | −0.541533 | + | 0.182464i | ||||
\(326\) | 24.4568 | − | 111.109i | 0.0750210 | − | 0.340824i | ||||
\(327\) | 60.4220 | − | 31.4806i | 0.184777 | − | 0.0962709i | ||||
\(328\) | 154.777 | − | 146.612i | 0.471880 | − | 0.446988i | ||||
\(329\) | −513.483 | + | 542.077i | −1.56074 | + | 1.64765i | ||||
\(330\) | −41.5796 | − | 62.2825i | −0.125999 | − | 0.188735i | ||||
\(331\) | −23.8682 | + | 145.590i | −0.0721095 | + | 0.439849i | 0.925954 | + | 0.377638i | \(0.123263\pi\) |
−0.998063 | + | 0.0622110i | \(0.980185\pi\) | |||||||
\(332\) | −104.253 | − | 70.6851i | −0.314014 | − | 0.212907i | ||||
\(333\) | −39.2518 | + | 56.1409i | −0.117873 | + | 0.168591i | ||||
\(334\) | 52.4103 | − | 31.5342i | 0.156917 | − | 0.0944139i | ||||
\(335\) | −3.96578 | − | 18.0167i | −0.0118382 | − | 0.0537813i | ||||
\(336\) | −289.430 | + | 242.291i | −0.861398 | + | 0.721105i | ||||
\(337\) | −361.982 | − | 167.471i | −1.07413 | − | 0.496946i | −0.198587 | − | 0.980083i | \(-0.563635\pi\) |
−0.875545 | + | 0.483137i | \(0.839497\pi\) | |||||||
\(338\) | 127.616 | − | 35.4324i | 0.377563 | − | 0.104830i | ||||
\(339\) | 67.6339 | − | 166.270i | 0.199510 | − | 0.490471i | ||||
\(340\) | −224.596 | + | 24.4263i | −0.660577 | + | 0.0718421i | ||||
\(341\) | −163.613 | − | 86.7424i | −0.479805 | − | 0.254376i | ||||
\(342\) | 11.5910 | − | 94.0094i | 0.0338918 | − | 0.274881i | ||||
\(343\) | −169.364 | + | 609.994i | −0.493773 | + | 1.77841i | ||||
\(344\) | 85.3934 | + | 72.5338i | 0.248237 | + | 0.210854i | ||||
\(345\) | 231.995 | − | 379.392i | 0.672450 | − | 1.09969i | ||||
\(346\) | 42.9485 | + | 63.3443i | 0.124129 | + | 0.183076i | ||||
\(347\) | −21.6896 | − | 46.8812i | −0.0625059 | − | 0.135104i | 0.873805 | − | 0.486277i | \(-0.161645\pi\) |
−0.936311 | + | 0.351172i | \(0.885783\pi\) | |||||||
\(348\) | −223.223 | − | 77.0001i | −0.641447 | − | 0.221265i | ||||
\(349\) | −50.6125 | + | 127.028i | −0.145022 | + | 0.363977i | −0.983487 | − | 0.180978i | \(-0.942074\pi\) |
0.838466 | + | 0.544955i | \(0.183453\pi\) | |||||||
\(350\) | 51.3295 | − | 67.5229i | 0.146656 | − | 0.192922i | ||||
\(351\) | −445.386 | − | 248.551i | −1.26891 | − | 0.708122i | ||||
\(352\) | −161.505 | − | 54.4173i | −0.458820 | − | 0.154595i | ||||
\(353\) | 334.980i | 0.948952i | 0.880268 | + | 0.474476i | \(0.157362\pi\) | ||||
−0.880268 | + | 0.474476i | \(0.842638\pi\) | |||||||
\(354\) | −3.20922 | + | 124.750i | −0.00906559 | + | 0.352401i | ||||
\(355\) | 465.844 | 1.31224 | ||||||||
\(356\) | −72.5662 | + | 215.369i | −0.203838 | + | 0.604969i | ||||
\(357\) | 401.155 | + | 2.87756i | 1.12368 | + | 0.00806040i | ||||
\(358\) | −40.3469 | − | 30.6709i | −0.112701 | − | 0.0856730i | ||||
\(359\) | −390.957 | − | 155.772i | −1.08902 | − | 0.433904i | −0.244619 | − | 0.969619i | \(-0.578663\pi\) |
−0.844399 | + | 0.535715i | \(0.820042\pi\) | |||||||
\(360\) | −275.245 | + | 56.4588i | −0.764570 | + | 0.156830i | ||||
\(361\) | −125.393 | + | 58.0130i | −0.347349 | + | 0.160701i | ||||
\(362\) | −69.5747 | + | 47.1728i | −0.192195 | + | 0.130312i | ||||
\(363\) | −133.047 | + | 217.578i | −0.366521 | + | 0.599388i | ||||
\(364\) | 524.206 | − | 617.143i | 1.44013 | − | 1.69545i | ||||
\(365\) | −313.067 | − | 86.9226i | −0.857717 | − | 0.238144i | ||||
\(366\) | 162.787 | + | 125.600i | 0.444773 | + | 0.343169i | ||||
\(367\) | 28.0680 | − | 52.9419i | 0.0764795 | − | 0.144256i | −0.842323 | − | 0.538973i | \(-0.818813\pi\) |
0.918803 | + | 0.394717i | \(0.129157\pi\) | |||||||
\(368\) | −27.9222 | − | 256.741i | −0.0758756 | − | 0.697665i | ||||
\(369\) | 358.747 | − | 53.5407i | 0.972214 | − | 0.145097i | ||||
\(370\) | −8.47278 | − | 30.5162i | −0.0228994 | − | 0.0824762i | ||||
\(371\) | 475.338 | − | 1027.43i | 1.28123 | − | 2.76934i | ||||
\(372\) | −248.741 | + | 208.229i | −0.668658 | + | 0.559757i | ||||
\(373\) | −194.594 | + | 42.8334i | −0.521699 | + | 0.114835i | −0.468010 | − | 0.883723i | \(-0.655029\pi\) |
−0.0536891 | + | 0.998558i | \(0.517098\pi\) | |||||||
\(374\) | 23.8293 | + | 39.6046i | 0.0637146 | + | 0.105895i | ||||
\(375\) | 244.548 | − | 111.017i | 0.652127 | − | 0.296046i | ||||
\(376\) | −181.140 | + | 267.161i | −0.481755 | + | 0.710536i | ||||
\(377\) | 418.877 | + | 68.6714i | 1.11108 | + | 0.182152i | ||||
\(378\) | 232.059 | − | 20.1962i | 0.613913 | − | 0.0534291i | ||||
\(379\) | 338.318 | + | 320.472i | 0.892660 | + | 0.845572i | 0.988716 | − | 0.149804i | \(-0.0478641\pi\) |
−0.0960558 | + | 0.995376i | \(0.530623\pi\) | |||||||
\(380\) | −212.231 | − | 224.049i | −0.558502 | − | 0.589604i | ||||
\(381\) | 213.753 | − | 111.368i | 0.561032 | − | 0.292304i | ||||
\(382\) | 215.721 | + | 47.4837i | 0.564714 | + | 0.124303i | ||||
\(383\) | 152.784 | + | 453.447i | 0.398914 | + | 1.18393i | 0.939472 | + | 0.342627i | \(0.111317\pi\) |
−0.540558 | + | 0.841307i | \(0.681787\pi\) | |||||||
\(384\) | −251.689 | + | 292.040i | −0.655440 | + | 0.760520i | ||||
\(385\) | 423.116 | + | 93.1348i | 1.09900 | + | 0.241909i | ||||
\(386\) | −106.789 | − | 5.78991i | −0.276654 | − | 0.0149998i | ||||
\(387\) | 48.3572 | + | 184.389i | 0.124954 | + | 0.476456i | ||||
\(388\) | 147.942 | + | 140.138i | 0.381294 | + | 0.361181i | ||||
\(389\) | 299.246 | − | 16.2247i | 0.769271 | − | 0.0417086i | 0.334674 | − | 0.942334i | \(-0.391374\pi\) |
0.434597 | + | 0.900625i | \(0.356891\pi\) | |||||||
\(390\) | 219.683 | − | 85.7088i | 0.563289 | − | 0.219766i | ||||
\(391\) | −154.032 | + | 227.180i | −0.393943 | + | 0.581023i | ||||
\(392\) | −57.6138 | + | 529.750i | −0.146974 | + | 1.35140i | ||||
\(393\) | 14.1724 | − | 26.2748i | 0.0360621 | − | 0.0668571i | ||||
\(394\) | 8.43729 | − | 1.85719i | 0.0214144 | − | 0.00471367i | ||||
\(395\) | 23.0562 | − | 3.77987i | 0.0583701 | − | 0.00956930i | ||||
\(396\) | −112.284 | − | 152.191i | −0.283547 | − | 0.384321i | ||||
\(397\) | −125.988 | − | 453.768i | −0.317350 | − | 1.14299i | −0.934446 | − | 0.356104i | \(-0.884105\pi\) |
0.617096 | − | 0.786888i | \(-0.288309\pi\) | |||||||
\(398\) | 92.0143 | + | 121.043i | 0.231192 | + | 0.304127i | ||||
\(399\) | 328.495 | + | 438.624i | 0.823297 | + | 1.09931i | ||||
\(400\) | −47.3504 | + | 89.3123i | −0.118376 | + | 0.223281i | ||||
\(401\) | −203.137 | + | 80.9373i | −0.506577 | + | 0.201839i | −0.609403 | − | 0.792861i | \(-0.708591\pi\) |
0.102826 | + | 0.994699i | \(0.467212\pi\) | |||||||
\(402\) | 1.72301 | + | 6.38300i | 0.00428610 | + | 0.0158781i | ||||
\(403\) | 377.511 | − | 444.440i | 0.936752 | − | 1.10283i | ||||
\(404\) | 402.279 | − | 213.275i | 0.995741 | − | 0.527908i | ||||
\(405\) | −438.835 | − | 189.611i | −1.08354 | − | 0.468175i | ||||
\(406\) | −175.937 | + | 81.3970i | −0.433342 | + | 0.200485i | ||||
\(407\) | 34.8011 | − | 29.5603i | 0.0855064 | − | 0.0726298i | ||||
\(408\) | 171.334 | − | 26.8282i | 0.419936 | − | 0.0657554i | ||||
\(409\) | 552.714 | + | 420.163i | 1.35138 | + | 1.02729i | 0.995695 | + | 0.0926866i | \(0.0295455\pi\) |
0.355685 | + | 0.934606i | \(0.384248\pi\) | |||||||
\(410\) | −86.4569 | + | 143.693i | −0.210871 | + | 0.350470i | ||||
\(411\) | 659.594 | − | 140.235i | 1.60485 | − | 0.341204i | ||||
\(412\) | −614.723 | −1.49205 | ||||||||
\(413\) | −486.687 | − | 533.259i | −1.17842 | − | 1.29118i | ||||
\(414\) | −76.6642 | + | 139.723i | −0.185179 | + | 0.337495i | ||||
\(415\) | 201.106 | + | 67.7604i | 0.484592 | + | 0.163278i | ||||
\(416\) | 276.675 | − | 459.837i | 0.665083 | − | 1.10538i | ||||
\(417\) | 58.0835 | − | 500.633i | 0.139289 | − | 1.20056i | ||||
\(418\) | −23.3698 | + | 58.6537i | −0.0559085 | + | 0.140320i | ||||
\(419\) | −74.0064 | + | 62.8616i | −0.176626 | + | 0.150028i | −0.731339 | − | 0.682014i | \(-0.761104\pi\) |
0.554713 | + | 0.832042i | \(0.312828\pi\) | |||||||
\(420\) | 430.395 | − | 625.084i | 1.02475 | − | 1.48830i | ||||
\(421\) | −337.777 | − | 498.184i | −0.802321 | − | 1.18334i | −0.979951 | − | 0.199238i | \(-0.936153\pi\) |
0.177630 | − | 0.984097i | \(-0.443157\pi\) | |||||||
\(422\) | 252.361 | − | 133.793i | 0.598012 | − | 0.317046i | ||||
\(423\) | −513.030 | + | 195.930i | −1.21284 | + | 0.463190i | ||||
\(424\) | 130.923 | − | 471.543i | 0.308781 | − | 1.11213i | ||||
\(425\) | 99.8064 | − | 39.7665i | 0.234839 | − | 0.0935682i | ||||
\(426\) | −166.766 | + | 7.84251i | −0.391470 | + | 0.0184096i | ||||
\(427\) | −1182.55 | + | 128.610i | −2.76943 | + | 0.301194i | ||||
\(428\) | −354.023 | − | 465.709i | −0.827156 | − | 1.08811i | ||||
\(429\) | 245.140 | + | 235.568i | 0.571421 | + | 0.549109i | ||||
\(430\) | −79.9861 | − | 37.0055i | −0.186014 | − | 0.0860593i | ||||
\(431\) | −219.767 | + | 36.0289i | −0.509899 | + | 0.0835937i | −0.411239 | − | 0.911527i | \(-0.634904\pi\) |
−0.0986601 | + | 0.995121i | \(0.531456\pi\) | |||||||
\(432\) | −269.036 | + | 68.4978i | −0.622768 | + | 0.158560i | ||||
\(433\) | 468.959 | − | 282.163i | 1.08305 | − | 0.651647i | 0.141979 | − | 0.989870i | \(-0.454653\pi\) |
0.941066 | + | 0.338223i | \(0.109826\pi\) | |||||||
\(434\) | −28.7936 | + | 264.753i | −0.0663448 | + | 0.610030i | ||||
\(435\) | 397.090 | + | 24.3875i | 0.912852 | + | 0.0560632i | ||||
\(436\) | −12.8702 | + | 78.5048i | −0.0295188 | + | 0.180057i | ||||
\(437\) | −374.386 | + | 20.2986i | −0.856718 | + | 0.0464499i | ||||
\(438\) | 113.537 | + | 25.8467i | 0.259217 | + | 0.0590107i | ||||
\(439\) | 384.704 | − | 364.411i | 0.876318 | − | 0.830093i | −0.110172 | − | 0.993913i | \(-0.535140\pi\) |
0.986490 | + | 0.163820i | \(0.0523815\pi\) | |||||||
\(440\) | 187.014 | + | 10.1396i | 0.425033 | + | 0.0230446i | ||||
\(441\) | −596.786 | + | 682.500i | −1.35326 | + | 1.54762i | ||||
\(442\) | −137.926 | + | 46.4726i | −0.312050 | + | 0.105142i | ||||
\(443\) | 206.057 | + | 611.556i | 0.465141 | + | 1.38049i | 0.881885 | + | 0.471465i | \(0.156275\pi\) |
−0.416744 | + | 0.909024i | \(0.636829\pi\) | |||||||
\(444\) | −24.9952 | − | 75.9799i | −0.0562955 | − | 0.171126i | ||||
\(445\) | 20.7299 | − | 382.341i | 0.0465840 | − | 0.859192i | ||||
\(446\) | 58.4745 | + | 61.7308i | 0.131109 | + | 0.138410i | ||||
\(447\) | 178.538 | + | 40.6441i | 0.399415 | + | 0.0909265i | ||||
\(448\) | −13.9781 | − | 257.810i | −0.0312010 | − | 0.575469i | ||||
\(449\) | 414.103 | + | 67.8888i | 0.922279 | + | 0.151200i | 0.604171 | − | 0.796854i | \(-0.293504\pi\) |
0.318108 | + | 0.948054i | \(0.396953\pi\) | |||||||
\(450\) | 55.5297 | − | 28.4271i | 0.123399 | − | 0.0631713i | ||||
\(451\) | −240.360 | − | 26.1407i | −0.532949 | − | 0.0579616i | ||||
\(452\) | 108.055 | + | 179.589i | 0.239060 | + | 0.397321i | ||||
\(453\) | 239.458 | + | 256.453i | 0.528605 | + | 0.566120i | ||||
\(454\) | −40.7007 | − | 248.264i | −0.0896492 | − | 0.546836i | ||||
\(455\) | −572.832 | + | 1238.16i | −1.25897 | + | 2.72122i | ||||
\(456\) | 170.812 | + | 164.142i | 0.374588 | + | 0.359961i | ||||
\(457\) | 454.950 | − | 345.844i | 0.995514 | − | 0.756770i | 0.0254643 | − | 0.999676i | \(-0.491894\pi\) |
0.970050 | + | 0.242905i | \(0.0781005\pi\) | |||||||
\(458\) | −21.3983 | − | 196.754i | −0.0467211 | − | 0.429594i | ||||
\(459\) | 265.057 | + | 129.624i | 0.577467 | + | 0.282405i | ||||
\(460\) | 192.195 | + | 482.374i | 0.417816 | + | 1.04864i | ||||
\(461\) | 406.020 | + | 112.731i | 0.880738 | + | 0.244536i | 0.678323 | − | 0.734764i | \(-0.262707\pi\) |
0.202415 | + | 0.979300i | \(0.435121\pi\) | |||||||
\(462\) | −153.038 | − | 26.2179i | −0.331251 | − | 0.0567487i | ||||
\(463\) | 161.938 | + | 305.447i | 0.349757 | + | 0.659712i | 0.994506 | − | 0.104683i | \(-0.0333827\pi\) |
−0.644748 | + | 0.764395i | \(0.723038\pi\) | |||||||
\(464\) | 191.229 | − | 129.656i | 0.412131 | − | 0.279431i | ||||
\(465\) | 309.952 | − | 450.159i | 0.666563 | − | 0.968084i | ||||
\(466\) | 95.6983 | + | 112.665i | 0.205361 | + | 0.241770i | ||||
\(467\) | −186.023 | − | 74.1185i | −0.398337 | − | 0.158712i | 0.162363 | − | 0.986731i | \(-0.448089\pi\) |
−0.560700 | + | 0.828019i | \(0.689468\pi\) | |||||||
\(468\) | 544.039 | − | 242.285i | 1.16248 | − | 0.517704i | ||||
\(469\) | −32.7745 | − | 19.7198i | −0.0698817 | − | 0.0420464i | ||||
\(470\) | 81.0704 | − | 240.608i | 0.172490 | − | 0.511933i | ||||
\(471\) | 180.844 | + | 305.504i | 0.383957 | + | 0.648629i | ||||
\(472\) | −244.915 | − | 193.450i | −0.518888 | − | 0.409852i | ||||
\(473\) | − | 127.064i | − | 0.268633i | ||||||
\(474\) | −8.19019 | + | 1.74130i | −0.0172789 | + | 0.00367363i | ||||
\(475\) | 125.752 | + | 75.6626i | 0.264742 | + | 0.159290i | ||||
\(476\) | −283.474 | + | 372.904i | −0.595534 | + | 0.783412i | ||||
\(477\) | 642.260 | − | 529.869i | 1.34646 | − | 1.11084i | ||||
\(478\) | −85.2831 | − | 100.403i | −0.178417 | − | 0.210048i | ||||
\(479\) | 16.0051 | + | 34.5945i | 0.0334136 | + | 0.0722224i | 0.923564 | − | 0.383445i | \(-0.125263\pi\) |
−0.890150 | + | 0.455668i | \(0.849401\pi\) | |||||||
\(480\) | 214.468 | − | 454.972i | 0.446808 | − | 0.947858i | ||||
\(481\) | 67.3488 | + | 127.033i | 0.140018 | + | 0.264103i | ||||
\(482\) | −140.740 | − | 119.545i | −0.291991 | − | 0.248020i | ||||
\(483\) | −240.291 | − | 890.171i | −0.497497 | − | 1.84300i | ||||
\(484\) | −110.222 | − | 276.637i | −0.227732 | − | 0.571564i | ||||
\(485\) | −303.337 | − | 160.819i | −0.625436 | − | 0.331585i | ||||
\(486\) | 160.289 | + | 60.4904i | 0.329814 | + | 0.124466i | ||||
\(487\) | 449.747 | − | 341.889i | 0.923505 | − | 0.702031i | −0.0312220 | − | 0.999512i | \(-0.509940\pi\) |
0.954727 | + | 0.297482i | \(0.0961468\pi\) | |||||||
\(488\) | −495.479 | + | 137.569i | −1.01533 | + | 0.281904i | ||||
\(489\) | 48.8866 | + | 481.622i | 0.0999726 | + | 0.984912i | ||||
\(490\) | −67.8124 | − | 413.637i | −0.138393 | − | 0.844158i | ||||
\(491\) | 196.774 | + | 893.954i | 0.400762 | + | 1.82068i | 0.554032 | + | 0.832496i | \(0.313089\pi\) |
−0.153270 | + | 0.988184i | \(0.548980\pi\) | |||||||
\(492\) | −201.063 | + | 372.759i | −0.408664 | + | 0.757640i | ||||
\(493\) | −244.111 | − | 26.5487i | −0.495154 | − | 0.0538512i | ||||
\(494\) | −164.557 | − | 111.573i | −0.333112 | − | 0.225856i | ||||
\(495\) | 250.882 | + | 196.458i | 0.506833 | + | 0.396884i | ||||
\(496\) | −17.1837 | − | 316.934i | −0.0346445 | − | 0.638980i | ||||
\(497\) | 664.227 | − | 701.216i | 1.33647 | − | 1.41090i | ||||
\(498\) | −73.1340 | − | 20.8717i | −0.146855 | − | 0.0419111i | ||||
\(499\) | 6.67125 | − | 123.044i | 0.0133692 | − | 0.246581i | −0.984208 | − | 0.177015i | \(-0.943356\pi\) |
0.997577 | − | 0.0695659i | \(-0.0221614\pi\) | |||||||
\(500\) | −67.4127 | + | 306.259i | −0.134825 | + | 0.612518i | ||||
\(501\) | −169.912 | + | 197.152i | −0.339145 | + | 0.393516i | ||||
\(502\) | 296.267 | − | 99.8239i | 0.590173 | − | 0.198852i | ||||
\(503\) | 166.427 | − | 756.087i | 0.330869 | − | 1.50315i | −0.458199 | − | 0.888849i | \(-0.651505\pi\) |
0.789069 | − | 0.614305i | \(-0.210564\pi\) | |||||||
\(504\) | −307.475 | + | 494.818i | −0.610070 | + | 0.981781i | ||||
\(505\) | −556.934 | + | 527.556i | −1.10284 | + | 1.04466i | ||||
\(506\) | 73.0564 | − | 77.1247i | 0.144380 | − | 0.152420i | ||||
\(507\) | −468.710 | + | 312.910i | −0.924478 | + | 0.617179i | ||||
\(508\) | −45.5305 | + | 277.724i | −0.0896269 | + | 0.546700i | ||||
\(509\) | −412.016 | − | 279.353i | −0.809461 | − | 0.548828i | 0.0847876 | − | 0.996399i | \(-0.472979\pi\) |
−0.894248 | + | 0.447571i | \(0.852289\pi\) | |||||||
\(510\) | −124.213 | + | 56.3890i | −0.243555 | + | 0.110567i | ||||
\(511\) | −577.229 | + | 347.307i | −1.12961 | + | 0.679662i | ||||
\(512\) | −109.563 | − | 497.751i | −0.213991 | − | 0.972169i | ||||
\(513\) | 78.1537 | + | 395.399i | 0.152346 | + | 0.770758i | ||||
\(514\) | 40.2276 | + | 18.6113i | 0.0782639 | + | 0.0362087i | ||||
\(515\) | 997.949 | − | 277.079i | 1.93776 | − | 0.538018i | ||||
\(516\) | −206.176 | − | 83.8667i | −0.399566 | − | 0.162532i | ||||
\(517\) | 363.913 | − | 39.5779i | 0.703893 | − | 0.0765530i | ||||
\(518\) | −58.0158 | − | 30.7580i | −0.112000 | − | 0.0593784i | ||||
\(519\) | −257.827 | − | 198.929i | −0.496777 | − | 0.383293i | ||||
\(520\) | −157.776 | + | 568.259i | −0.303416 | + | 1.09281i | ||||
\(521\) | −436.884 | − | 371.092i | −0.838548 | − | 0.712269i | 0.121353 | − | 0.992609i | \(-0.461277\pi\) |
−0.959901 | + | 0.280340i | \(0.909553\pi\) | |||||||
\(522\) | −142.564 | − | 2.04538i | −0.273111 | − | 0.00391835i | ||||
\(523\) | 60.3886 | + | 89.0666i | 0.115466 | + | 0.170299i | 0.881030 | − | 0.473060i | \(-0.156851\pi\) |
−0.765564 | + | 0.643359i | \(0.777540\pi\) | |||||||
\(524\) | 14.6365 | + | 31.6363i | 0.0279323 | + | 0.0603746i | ||||
\(525\) | −117.689 | + | 341.181i | −0.224169 | + | 0.649868i | ||||
\(526\) | −11.4931 | + | 28.8455i | −0.0218500 | + | 0.0548393i | ||||
\(527\) | −204.146 | + | 268.550i | −0.387374 | + | 0.509582i | ||||
\(528\) | 185.047 | + | 1.32737i | 0.350467 | + | 0.00251396i | ||||
\(529\) | 96.5174 | + | 32.5205i | 0.182453 | + | 0.0614754i | ||||
\(530\) | 384.948i | 0.726316i | ||||||||
\(531\) | −152.909 | − | 508.508i | −0.287964 | − | 0.957641i | ||||
\(532\) | −639.863 | −1.20275 | ||||||||
\(533\) | 243.095 | − | 721.480i | 0.456088 | − | 1.35362i | ||||
\(534\) | −0.984319 | + | 137.222i | −0.00184329 | + | 0.256970i | ||||
\(535\) | 784.638 | + | 596.466i | 1.46661 | + | 1.11489i | ||||
\(536\) | −15.3607 | − | 6.12027i | −0.0286581 | − | 0.0114184i | ||||
\(537\) | 203.866 | + | 70.3227i | 0.379638 | + | 0.130955i | ||||
\(538\) | −228.602 | + | 105.762i | −0.424910 | + | 0.196584i | ||||
\(539\) | 500.191 | − | 339.138i | 0.927998 | − | 0.629198i | ||||
\(540\) | 484.368 | − | 277.417i | 0.896978 | − | 0.513736i | ||||
\(541\) | −120.825 | + | 142.246i | −0.223337 | + | 0.262932i | −0.862406 | − | 0.506216i | \(-0.831044\pi\) |
0.639070 | + | 0.769149i | \(0.279320\pi\) | |||||||
\(542\) | 39.4679 | + | 10.9582i | 0.0728190 | + | 0.0202181i | ||||
\(543\) | 218.495 | − | 283.186i | 0.402386 | − | 0.521522i | ||||
\(544\) | −145.417 | + | 274.285i | −0.267311 | + | 0.504201i | ||||
\(545\) | −14.4914 | − | 133.247i | −0.0265898 | − | 0.244489i | ||||
\(546\) | 184.222 | − | 452.888i | 0.337403 | − | 0.829465i | ||||
\(547\) | 24.4389 | + | 88.0209i | 0.0446781 | + | 0.160916i | 0.982524 | − | 0.186136i | \(-0.0595965\pi\) |
−0.937846 | + | 0.347052i | \(0.887183\pi\) | |||||||
\(548\) | −330.614 | + | 714.610i | −0.603310 | + | 1.30403i | ||||
\(549\) | −824.996 | − | 291.218i | −1.50273 | − | 0.530451i | ||||
\(550\) | −40.6103 | + | 8.93900i | −0.0738369 | + | 0.0162527i | ||||
\(551\) | −172.929 | − | 287.411i | −0.313846 | − | 0.521616i | ||||
\(552\) | −164.764 | − | 362.941i | −0.298486 | − | 0.657502i | ||||
\(553\) | 27.1852 | − | 40.0951i | 0.0491594 | − | 0.0725047i | ||||
\(554\) | 301.078 | + | 49.3592i | 0.543462 | + | 0.0890961i | ||||
\(555\) | 74.8245 | + | 112.080i | 0.134819 | + | 0.201947i | ||||
\(556\) | 427.234 | + | 404.698i | 0.768407 | + | 0.727874i | ||||
\(557\) | 730.358 | + | 771.029i | 1.31123 | + | 1.38425i | 0.874775 | + | 0.484530i | \(0.161009\pi\) |
0.436460 | + | 0.899724i | \(0.356232\pi\) | |||||||
\(558\) | −103.380 | + | 166.369i | −0.185270 | + | 0.298153i | ||||
\(559\) | 390.757 | + | 86.0121i | 0.699028 | + | 0.153868i | ||||
\(560\) | 237.101 | + | 703.691i | 0.423395 | + | 1.25659i | ||||
\(561\) | −148.980 | − | 128.396i | −0.265562 | − | 0.228870i | ||||
\(562\) | −80.1757 | − | 17.6480i | −0.142661 | − | 0.0314022i | ||||
\(563\) | 281.026 | + | 15.2368i | 0.499157 | + | 0.0270635i | 0.301999 | − | 0.953308i | \(-0.402346\pi\) |
0.197158 | + | 0.980372i | \(0.436829\pi\) | |||||||
\(564\) | 175.976 | − | 616.615i | 0.312014 | − | 1.09329i | ||||
\(565\) | −256.366 | − | 242.843i | −0.453745 | − | 0.429810i | ||||
\(566\) | 300.138 | − | 16.2730i | 0.530279 | − | 0.0287509i | ||||
\(567\) | −911.129 | + | 390.203i | −1.60693 | + | 0.688188i | ||||
\(568\) | 234.318 | − | 345.593i | 0.412531 | − | 0.608438i | ||||
\(569\) | −71.9351 | + | 661.432i | −0.126424 | + | 1.16245i | 0.743318 | + | 0.668939i | \(0.233251\pi\) |
−0.869741 | + | 0.493508i | \(0.835714\pi\) | |||||||
\(570\) | −164.005 | − | 88.4630i | −0.287729 | − | 0.155198i | ||||
\(571\) | −168.973 | + | 37.1938i | −0.295925 | + | 0.0651381i | −0.360452 | − | 0.932778i | \(-0.617377\pi\) |
0.0645263 | + | 0.997916i | \(0.479446\pi\) | |||||||
\(572\) | −391.744 | + | 64.2232i | −0.684867 | + | 0.112278i | ||||
\(573\) | −935.083 | + | 94.9149i | −1.63191 | + | 0.165646i | ||||
\(574\) | 93.0193 | + | 335.025i | 0.162054 | + | 0.583667i | ||||
\(575\) | −149.436 | − | 196.580i | −0.259889 | − | 0.341879i | ||||
\(576\) | 72.8115 | − | 175.383i | 0.126409 | − | 0.304485i | ||||
\(577\) | −48.7038 | + | 91.8651i | −0.0844087 | + | 0.159212i | −0.922123 | − | 0.386897i | \(-0.873547\pi\) |
0.837714 | + | 0.546109i | \(0.183892\pi\) | |||||||
\(578\) | −111.068 | + | 44.2535i | −0.192159 | + | 0.0765631i | ||||
\(579\) | 439.339 | − | 118.594i | 0.758789 | − | 0.204826i | ||||
\(580\) | −300.732 | + | 354.049i | −0.518504 | + | 0.610430i | ||||
\(581\) | 388.745 | − | 206.099i | 0.669096 | − | 0.354732i | ||||
\(582\) | 111.298 | + | 52.4644i | 0.191234 | + | 0.0901451i | ||||
\(583\) | −503.702 | + | 233.037i | −0.863983 | + | 0.399721i | ||||
\(584\) | −221.956 | + | 188.531i | −0.380061 | + | 0.322827i | ||||
\(585\) | −773.991 | + | 638.548i | −1.32306 | + | 1.09153i | ||||
\(586\) | 101.767 | + | 77.3614i | 0.173664 | + | 0.132016i | ||||
\(587\) | −414.554 | + | 688.994i | −0.706225 | + | 1.17375i | 0.271211 | + | 0.962520i | \(0.412576\pi\) |
−0.977435 | + | 0.211235i | \(0.932252\pi\) | |||||||
\(588\) | −220.148 | − | 1035.46i | −0.374401 | − | 1.76099i | ||||
\(589\) | −460.803 | −0.782347 | ||||||||
\(590\) | 226.338 | + | 95.0821i | 0.383623 | + | 0.161156i | ||||
\(591\) | −31.6341 | + | 18.7258i | −0.0535263 | + | 0.0316850i | ||||
\(592\) | 74.1643 | + | 24.9888i | 0.125277 | + | 0.0422109i | ||||
\(593\) | 484.946 | − | 805.986i | 0.817784 | − | 1.35917i | −0.112999 | − | 0.993595i | \(-0.536046\pi\) |
0.930783 | − | 0.365572i | \(-0.119127\pi\) | |||||||
\(594\) | −93.1200 | − | 66.1058i | −0.156768 | − | 0.111289i | ||||
\(595\) | 292.113 | − | 733.149i | 0.490947 | − | 1.23218i | ||||
\(596\) | −162.952 | + | 138.413i | −0.273410 | + | 0.232236i | ||||
\(597\) | −532.873 | − | 366.904i | −0.892584 | − | 0.614579i | ||||
\(598\) | 187.727 | + | 276.877i | 0.313925 | + | 0.463004i | ||||
\(599\) | −505.835 | + | 268.177i | −0.844465 | + | 0.447707i | −0.833689 | − | 0.552235i | \(-0.813775\pi\) |
−0.0107765 | + | 0.999942i | \(0.503430\pi\) | |||||||
\(600\) | −26.3447 | + | 153.778i | −0.0439079 | + | 0.256297i | ||||
\(601\) | 79.1697 | − | 285.143i | 0.131730 | − | 0.474448i | −0.868027 | − | 0.496518i | \(-0.834612\pi\) |
0.999756 | + | 0.0220696i | \(0.00702553\pi\) | |||||||
\(602\) | −169.752 | + | 67.6352i | −0.281979 | + | 0.112351i | ||||
\(603\) | −15.4519 | − | 23.5090i | −0.0256251 | − | 0.0389868i | ||||
\(604\) | −407.286 | + | 44.2950i | −0.674314 | + | 0.0733361i | ||||
\(605\) | 303.627 | + | 399.414i | 0.501862 | + | 0.660189i | ||||
\(606\) | 190.494 | − | 198.234i | 0.314346 | − | 0.327119i | ||||
\(607\) | 568.413 | + | 262.976i | 0.936429 | + | 0.433238i | 0.827913 | − | 0.560856i | \(-0.189528\pi\) |
0.108516 | + | 0.994095i | \(0.465390\pi\) | |||||||
\(608\) | −418.490 | + | 68.6079i | −0.688306 | + | 0.112842i | ||||
\(609\) | 602.904 | − | 562.951i | 0.989990 | − | 0.924386i | ||||
\(610\) | 346.588 | − | 208.535i | 0.568178 | − | 0.341861i | ||||
\(611\) | −124.627 | + | 1145.93i | −0.203972 | + | 1.87549i | ||||
\(612\) | −306.671 | + | 156.992i | −0.501096 | + | 0.256524i | ||||
\(613\) | 78.3920 | − | 478.170i | 0.127883 | − | 0.780049i | −0.842540 | − | 0.538634i | \(-0.818940\pi\) |
0.970422 | − | 0.241414i | \(-0.0776113\pi\) | |||||||
\(614\) | −45.1555 | + | 2.44826i | −0.0735432 | + | 0.00398740i | ||||
\(615\) | 158.391 | − | 695.768i | 0.257546 | − | 1.13133i | ||||
\(616\) | 281.919 | − | 267.047i | 0.457660 | − | 0.433519i | ||||
\(617\) | 243.368 | + | 13.1950i | 0.394437 | + | 0.0213857i | 0.250291 | − | 0.968171i | \(-0.419474\pi\) |
0.144146 | + | 0.989556i | \(0.453957\pi\) | |||||||
\(618\) | −352.588 | + | 115.991i | −0.570531 | + | 0.187688i | ||||
\(619\) | −451.523 | + | 152.136i | −0.729439 | + | 0.245777i | −0.659426 | − | 0.751769i | \(-0.729201\pi\) |
−0.0700132 | + | 0.997546i | \(0.522304\pi\) | |||||||
\(620\) | 203.769 | + | 604.765i | 0.328660 | + | 0.975427i | ||||
\(621\) | 124.087 | − | 666.702i | 0.199818 | − | 1.07359i | ||||
\(622\) | 3.36115 | − | 61.9927i | 0.00540377 | − | 0.0996667i | ||||
\(623\) | −545.964 | − | 576.367i | −0.876346 | − | 0.925147i | ||||
\(624\) | −129.344 | + | 568.172i | −0.207282 | + | 0.910533i | ||||
\(625\) | −41.9105 | − | 772.993i | −0.0670567 | − | 1.23679i | ||||
\(626\) | −196.329 | − | 32.1865i | −0.313625 | − | 0.0514162i | ||||
\(627\) | 16.4688 | − | 268.153i | 0.0262660 | − | 0.427677i | ||||
\(628\) | −412.103 | − | 44.8189i | −0.656215 | − | 0.0713676i | ||||
\(629\) | −42.8819 | − | 71.2703i | −0.0681747 | − | 0.113307i | ||||
\(630\) | 128.916 | − | 439.741i | 0.204629 | − | 0.698002i | ||||
\(631\) | 60.7593 | + | 370.615i | 0.0962905 | + | 0.587346i | 0.990261 | + | 0.139221i | \(0.0444598\pi\) |
−0.893971 | + | 0.448125i | \(0.852092\pi\) | |||||||
\(632\) | 8.79302 | − | 19.0058i | 0.0139130 | − | 0.0300725i | ||||
\(633\) | −842.139 | + | 876.358i | −1.33039 | + | 1.38445i | ||||
\(634\) | −40.1657 | + | 30.5332i | −0.0633528 | + | 0.0481596i | ||||
\(635\) | −51.2659 | − | 471.382i | −0.0807337 | − | 0.742334i | ||||
\(636\) | 45.6693 | + | 971.131i | 0.0718071 | + | 1.52694i | ||||
\(637\) | 704.355 | + | 1767.80i | 1.10574 | + | 2.77519i | ||||
\(638\) | 91.5738 | + | 25.4254i | 0.143533 | + | 0.0398517i | ||||
\(639\) | 663.642 | − | 253.449i | 1.03856 | − | 0.396634i | ||||
\(640\) | 355.262 | + | 670.095i | 0.555096 | + | 1.04702i | ||||
\(641\) | −900.756 | + | 610.728i | −1.40524 | + | 0.952773i | −0.405992 | + | 0.913877i | \(0.633074\pi\) |
−0.999243 | + | 0.0388966i | \(0.987616\pi\) | |||||||
\(642\) | −290.932 | − | 200.318i | −0.453165 | − | 0.312021i | ||||
\(643\) | −710.457 | − | 836.414i | −1.10491 | − | 1.30080i | −0.949784 | − | 0.312905i | \(-0.898698\pi\) |
−0.155125 | − | 0.987895i | \(-0.549578\pi\) | |||||||
\(644\) | 1000.14 | + | 398.492i | 1.55301 | + | 0.618777i | ||||
\(645\) | 372.511 | + | 43.2188i | 0.577536 | + | 0.0670058i | ||||
\(646\) | 98.5493 | + | 59.2951i | 0.152553 | + | 0.0917881i | ||||
\(647\) | −135.513 | + | 402.188i | −0.209448 | + | 0.621620i | 0.790510 | + | 0.612450i | \(0.209816\pi\) |
−0.999958 | + | 0.00917078i | \(0.997081\pi\) | |||||||
\(648\) | −361.397 | + | 230.182i | −0.557712 | + | 0.355219i | ||||
\(649\) | 12.6045 | + | 353.722i | 0.0194215 | + | 0.545026i | ||||
\(650\) | − | 130.939i | − | 0.201445i | ||||||
\(651\) | −235.659 | − | 1108.42i | −0.361995 | − | 1.70264i | ||||
\(652\) | −484.340 | − | 291.417i | −0.742852 | − | 0.446959i | ||||
\(653\) | −216.222 | + | 284.435i | −0.331121 | + | 0.435582i | −0.931283 | − | 0.364296i | \(-0.881310\pi\) |
0.600162 | + | 0.799878i | \(0.295103\pi\) | |||||||
\(654\) | 7.43096 | + | 47.4566i | 0.0113623 | + | 0.0725636i | ||||
\(655\) | −38.0208 | − | 44.7615i | −0.0580470 | − | 0.0683382i | ||||
\(656\) | −174.000 | − | 376.095i | −0.265244 | − | 0.573315i | ||||
\(657\) | −493.286 | + | 46.4983i | −0.750816 | + | 0.0707737i | ||||
\(658\) | −246.583 | − | 465.105i | −0.374746 | − | 0.706847i | ||||
\(659\) | −360.287 | − | 306.031i | −0.546718 | − | 0.464387i | 0.330955 | − | 0.943647i | \(-0.392629\pi\) |
−0.877673 | + | 0.479260i | \(0.840905\pi\) | |||||||
\(660\) | −359.211 | + | 96.9647i | −0.544260 | + | 0.146916i | ||||
\(661\) | 407.806 | + | 1023.52i | 0.616954 | + | 1.54844i | 0.821881 | + | 0.569660i | \(0.192925\pi\) |
−0.204927 | + | 0.978777i | \(0.565696\pi\) | |||||||
\(662\) | −91.8997 | − | 48.7221i | −0.138821 | − | 0.0735984i | ||||
\(663\) | 495.702 | − | 371.243i | 0.747666 | − | 0.559944i | ||||
\(664\) | 151.424 | − | 115.110i | 0.228048 | − | 0.173358i | ||||
\(665\) | 1038.76 | − | 288.411i | 1.56205 | − | 0.433700i | ||||
\(666\) | −28.6731 | − | 38.8637i | −0.0430527 | − | 0.0583538i | ||||
\(667\) | 91.3047 | + | 556.934i | 0.136889 | + | 0.834984i | ||||
\(668\) | −65.3291 | − | 296.793i | −0.0977981 | − | 0.444301i | ||||
\(669\) | −318.438 | − | 171.763i | −0.475991 | − | 0.256745i | ||||
\(670\) | 12.9303 | + | 1.40625i | 0.0192989 | + | 0.00209889i | ||||
\(671\) | 482.683 | + | 327.267i | 0.719349 | + | 0.487731i | ||||
\(672\) | −379.050 | − | 971.554i | −0.564063 | − | 1.44577i | ||||
\(673\) | 4.46051 | + | 82.2693i | 0.00662780 | + | 0.122243i | 0.999975 | + | 0.00708394i | \(0.00225491\pi\) |
−0.993347 | + | 0.115159i | \(0.963262\pi\) | |||||||
\(674\) | 193.381 | − | 204.150i | 0.286916 | − | 0.302893i | ||||
\(675\) | −186.652 | + | 188.740i | −0.276521 | + | 0.279615i | ||||
\(676\) | 35.6255 | − | 657.073i | 0.0527004 | − | 0.972002i | ||||
\(677\) | 97.4582 | − | 442.757i | 0.143956 | − | 0.653999i | −0.848271 | − | 0.529562i | \(-0.822356\pi\) |
0.992227 | − | 0.124437i | \(-0.0397125\pi\) | |||||||
\(678\) | 95.8639 | + | 82.6186i | 0.141392 | + | 0.121856i | ||||
\(679\) | −674.589 | + | 227.295i | −0.993503 | + | 0.334750i | ||||
\(680\) | 73.3408 | − | 333.191i | 0.107854 | − | 0.489986i | ||||
\(681\) | 494.629 | + | 949.362i | 0.726328 | + | 1.39407i | ||||
\(682\) | 94.7876 | − | 89.7876i | 0.138985 | − | 0.131653i | ||||
\(683\) | 148.835 | − | 157.124i | 0.217914 | − | 0.230049i | −0.607868 | − | 0.794038i | \(-0.707975\pi\) |
0.825783 | + | 0.563989i | \(0.190734\pi\) | |||||||
\(684\) | −424.241 | − | 203.714i | −0.620236 | − | 0.297827i | ||||
\(685\) | 214.620 | − | 1309.13i | 0.313314 | − | 1.91113i | ||||
\(686\) | −369.428 | − | 250.478i | −0.538525 | − | 0.365129i | ||||
\(687\) | 348.116 | + | 766.827i | 0.506719 | + | 1.11620i | ||||
\(688\) | 186.608 | − | 112.278i | 0.271232 | − | 0.163195i | ||||
\(689\) | −375.690 | − | 1706.78i | −0.545268 | − | 2.47718i | ||||
\(690\) | 201.256 | + | 240.411i | 0.291676 | + | 0.348422i | ||||
\(691\) | −926.399 | − | 428.598i | −1.34066 | − | 0.620257i | −0.387265 | − | 0.921969i | \(-0.626580\pi\) |
−0.953399 | + | 0.301711i | \(0.902442\pi\) | |||||||
\(692\) | 366.382 | − | 101.726i | 0.529454 | − | 0.147002i | ||||
\(693\) | 653.442 | − | 97.5220i | 0.942918 | − | 0.140724i | ||||
\(694\) | 36.2054 | − | 3.93758i | 0.0521692 | − | 0.00567375i | ||||
\(695\) | −875.990 | − | 464.420i | −1.26042 | − | 0.668231i | ||||
\(696\) | 217.827 | − | 282.320i | 0.312970 | − | 0.405632i | ||||
\(697\) | −117.826 | + | 424.369i | −0.169047 | + | 0.608851i | ||||
\(698\) | −73.4772 | − | 62.4121i | −0.105268 | − | 0.0894156i | ||||
\(699\) | −536.624 | − | 328.141i | −0.767702 | − | 0.469444i | ||||
\(700\) | −236.491 | − | 348.798i | −0.337844 | − | 0.498283i | ||||
\(701\) | 401.405 | + | 867.623i | 0.572618 | + | 1.23769i | 0.950178 | + | 0.311708i | \(0.100901\pi\) |
−0.377560 | + | 0.925985i | \(0.623237\pi\) | |||||||
\(702\) | 266.329 | − | 241.622i | 0.379386 | − | 0.344191i | ||||
\(703\) | 42.0550 | − | 105.550i | 0.0598222 | − | 0.150142i | ||||
\(704\) | −76.6021 | + | 100.768i | −0.108810 | + | 0.143137i | ||||
\(705\) | −7.74948 | + | 1080.34i | −0.0109922 | + | 1.53240i | ||||
\(706\) | −223.810 | − | 75.4104i | −0.317011 | − | 0.106814i | ||||
\(707\) | 1590.55i | 2.24971i | ||||||||
\(708\) | 582.276 | + | 213.017i | 0.822424 | + | 0.300872i | ||||
\(709\) | 732.425 | 1.03304 | 0.516520 | − | 0.856275i | \(-0.327227\pi\) | ||||
0.516520 | + | 0.856275i | \(0.327227\pi\) | |||||||
\(710\) | −104.870 | + | 311.244i | −0.147705 | + | 0.438372i | ||||
\(711\) | 30.7894 | − | 17.9289i | 0.0433043 | − | 0.0252164i | ||||
\(712\) | −273.217 | − | 207.694i | −0.383732 | − | 0.291706i | ||||
\(713\) | 720.259 | + | 286.977i | 1.01018 | + | 0.402493i | ||||
\(714\) | −92.2303 | + | 267.376i | −0.129174 | + | 0.374476i | ||||
\(715\) | 607.014 | − | 280.835i | 0.848971 | − | 0.392776i | ||||
\(716\) | −208.417 | + | 141.310i | −0.291085 | + | 0.197361i | ||||
\(717\) | 478.221 | + | 292.428i | 0.666975 | + | 0.407850i | ||||
\(718\) | 192.088 | − | 226.143i | 0.267531 | − | 0.314962i | ||||
\(719\) | −602.167 | − | 167.191i | −0.837506 | − | 0.232532i | −0.177810 | − | 0.984065i | \(-0.556901\pi\) |
−0.659696 | + | 0.751532i | \(0.729315\pi\) | |||||||
\(720\) | −66.8322 | + | 542.047i | −0.0928225 | + | 0.752843i | ||||
\(721\) | 1005.86 | − | 1897.25i | 1.39509 | − | 2.63141i | ||||
\(722\) | −10.5318 | − | 96.8386i | −0.0145870 | − | 0.134126i | ||||
\(723\) | 727.831 | + | 296.061i | 1.00668 | + | 0.409490i | ||||
\(724\) | 111.731 | + | 402.418i | 0.154324 | + | 0.555827i | ||||
\(725\) | 92.7574 | − | 200.492i | 0.127941 | − | 0.276540i | ||||
\(726\) | −115.419 | − | 137.874i | −0.158979 | − | 0.189909i | ||||
\(727\) | −1188.38 | + | 261.581i | −1.63463 | + | 0.359809i | −0.934986 | − | 0.354684i | \(-0.884589\pi\) |
−0.699643 | + | 0.714493i | \(0.746658\pi\) | |||||||
\(728\) | 630.410 | + | 1047.75i | 0.865948 | + | 1.43922i | ||||
\(729\) | −728.325 | − | 31.3653i | −0.999074 | − | 0.0430251i | ||||
\(730\) | 128.553 | − | 189.601i | 0.176100 | − | 0.259728i | ||||
\(731\) | −228.411 | − | 37.4460i | −0.312463 | − | 0.0512258i | ||||
\(732\) | 849.619 | − | 567.203i | 1.16068 | − | 0.774868i | ||||
\(733\) | −387.029 | − | 366.613i | −0.528006 | − | 0.500154i | 0.376615 | − | 0.926370i | \(-0.377088\pi\) |
−0.904622 | + | 0.426216i | \(0.859846\pi\) | |||||||
\(734\) | 29.0534 | + | 30.6713i | 0.0395822 | + | 0.0417865i | ||||
\(735\) | 824.113 | + | 1581.75i | 1.12124 | + | 2.15205i | ||||
\(736\) | 696.849 | + | 153.388i | 0.946806 | + | 0.208408i | ||||
\(737\) | 5.98759 | + | 17.7705i | 0.00812427 | + | 0.0241120i | ||||
\(738\) | −44.9887 | + | 251.742i | −0.0609603 | + | 0.341114i | ||||
\(739\) | −390.690 | − | 85.9974i | −0.528674 | − | 0.116370i | −0.0573907 | − | 0.998352i | \(-0.518278\pi\) |
−0.471283 | + | 0.881982i | \(0.656209\pi\) | |||||||
\(740\) | −157.123 | − | 8.51894i | −0.212328 | − | 0.0115121i | ||||
\(741\) | 813.500 | + | 232.165i | 1.09784 | + | 0.313313i | ||||
\(742\) | 579.446 | + | 548.880i | 0.780924 | + | 0.739731i | ||||
\(743\) | −1.00733 | + | 0.0546156i | −0.00135575 | + | 7.35069e-5i | −0.0548168 | − | 0.998496i | \(-0.517457\pi\) |
0.0534610 | + | 0.998570i | \(0.482975\pi\) | |||||||
\(744\) | −178.052 | − | 456.370i | −0.239317 | − | 0.613400i | ||||
\(745\) | 202.150 | − | 298.150i | 0.271343 | − | 0.400201i | ||||
\(746\) | 15.1886 | − | 139.656i | 0.0203600 | − | 0.187207i | ||||
\(747\) | 323.361 | − | 12.8828i | 0.432879 | − | 0.0172461i | ||||
\(748\) | 224.276 | − | 49.3668i | 0.299834 | − | 0.0659984i | ||||
\(749\) | 2016.62 | − | 330.608i | 2.69241 | − | 0.441399i | ||||
\(750\) | 19.1215 | + | 188.382i | 0.0254954 | + | 0.251175i | ||||
\(751\) | 159.171 | + | 573.282i | 0.211945 | + | 0.763358i | 0.990704 | + | 0.136035i | \(0.0434358\pi\) |
−0.778759 | + | 0.627323i | \(0.784150\pi\) | |||||||
\(752\) | 379.691 | + | 499.475i | 0.504909 | + | 0.664196i | ||||
\(753\) | −1064.78 | + | 797.435i | −1.41404 | + | 1.05901i | ||||
\(754\) | −140.179 | + | 264.405i | −0.185913 | + | 0.350669i | ||||
\(755\) | 641.227 | − | 255.488i | 0.849308 | − | 0.338395i | ||||
\(756\) | 273.055 | − | 1124.66i | 0.361183 | − | 1.48764i | ||||
\(757\) | 55.0018 | − | 64.7532i | 0.0726576 | − | 0.0855392i | −0.724632 | − | 0.689136i | \(-0.757990\pi\) |
0.797290 | + | 0.603597i | \(0.206266\pi\) | |||||||
\(758\) | −290.279 | + | 153.896i | −0.382953 | + | 0.203029i | ||||
\(759\) | −192.741 | + | 408.881i | −0.253941 | + | 0.538711i | ||||
\(760\) | 422.964 | − | 195.684i | 0.556532 | − | 0.257479i | ||||
\(761\) | −199.825 | + | 169.733i | −0.262582 | + | 0.223039i | −0.769000 | − | 0.639249i | \(-0.779245\pi\) |
0.506418 | + | 0.862288i | \(0.330969\pi\) | |||||||
\(762\) | 26.2883 | + | 167.886i | 0.0344990 | + | 0.220322i | ||||
\(763\) | −221.233 | − | 168.177i | −0.289952 | − | 0.220416i | ||||
\(764\) | 565.796 | − | 940.360i | 0.740571 | − | 1.23084i | ||||
\(765\) | 427.090 | − | 393.091i | 0.558288 | − | 0.513845i | ||||
\(766\) | −337.356 | −0.440412 | ||||||||
\(767\) | −1096.33 | − | 200.680i | −1.42937 | − | 0.261642i | ||||
\(768\) | −9.48385 | − | 16.0213i | −0.0123488 | − | 0.0208611i | ||||
\(769\) | −57.5571 | − | 19.3932i | −0.0748466 | − | 0.0252188i | 0.281629 | − | 0.959523i | \(-0.409125\pi\) |
−0.356476 | + | 0.934305i | \(0.616022\pi\) | |||||||
\(770\) | −157.477 | + | 261.730i | −0.204516 | + | 0.339909i | ||||
\(771\) | −187.348 | − | 21.7361i | −0.242993 | − | 0.0281921i | ||||
\(772\) | −196.674 | + | 493.613i | −0.254758 | + | 0.639396i | ||||
\(773\) | −43.1245 | + | 36.6303i | −0.0557885 | + | 0.0473872i | −0.674847 | − | 0.737958i | \(-0.735790\pi\) |
0.619058 | + | 0.785345i | \(0.287514\pi\) | |||||||
\(774\) | −134.082 | − | 9.20053i | −0.173232 | − | 0.0118870i | ||||
\(775\) | −170.311 | − | 251.190i | −0.219756 | − | 0.324116i | ||||
\(776\) | −271.883 | + | 144.143i | −0.350364 | + | 0.185751i | ||||
\(777\) | 275.399 | + | 47.1803i | 0.354439 | + | 0.0607212i | ||||
\(778\) | −56.5258 | + | 203.588i | −0.0726553 | + | 0.261681i | ||||
\(779\) | −558.892 | + | 222.683i | −0.717449 | + | 0.285858i | ||||
\(780\) | −55.0363 | − | 1170.31i | −0.0705594 | − | 1.50040i | ||||
\(781\) | −470.747 | + | 51.1969i | −0.602750 | + | 0.0655530i | ||||
\(782\) | −117.110 | − | 154.056i | −0.149757 | − | 0.197002i | ||||
\(783\) | 578.963 | − | 181.300i | 0.739417 | − | 0.231545i | ||||
\(784\) | 940.049 | + | 434.913i | 1.19904 | + | 0.554736i | ||||
\(785\) | 689.214 | − | 112.991i | 0.877980 | − | 0.143937i | ||||
\(786\) | 14.3645 | + | 15.3840i | 0.0182755 | + | 0.0195725i | ||||
\(787\) | 401.099 | − | 241.333i | 0.509655 | − | 0.306649i | −0.237399 | − | 0.971412i | \(-0.576295\pi\) |
0.747054 | + | 0.664763i | \(0.231467\pi\) | |||||||
\(788\) | 4.64086 | − | 42.6720i | 0.00588942 | − | 0.0541523i | ||||
\(789\) | 8.09922 | − | 131.876i | 0.0102652 | − | 0.167143i | ||||
\(790\) | −2.66495 | + | 16.2554i | −0.00337335 | + | 0.0205765i | ||||
\(791\) | −731.082 | + | 39.6381i | −0.924250 | + | 0.0501114i | ||||
\(792\) | 271.937 | − | 87.3028i | 0.343355 | − | 0.110231i | ||||
\(793\) | −1333.18 | + | 1262.85i | −1.68118 | + | 1.59250i | ||||
\(794\) | 331.538 | + | 17.9755i | 0.417554 | + | 0.0226391i | ||||
\(795\) | −511.866 | − | 1555.96i | −0.643856 | − | 1.95718i | ||||
\(796\) | 715.886 | − | 241.210i | 0.899354 | − | 0.303028i | ||||
\(797\) | −180.184 | − | 534.768i | −0.226078 | − | 0.670976i | −0.999320 | − | 0.0368650i | \(-0.988263\pi\) |
0.773242 | − | 0.634111i | \(-0.218634\pi\) | |||||||
\(798\) | −367.008 | + | 120.735i | −0.459910 | + | 0.151297i | ||||
\(799\) | 36.1006 | − | 665.837i | 0.0451822 | − | 0.833337i | ||||
\(800\) | −192.071 | − | 202.767i | −0.240089 | − | 0.253459i | ||||
\(801\) | −178.486 | − | 555.961i | −0.222829 | − | 0.694083i | ||||
\(802\) | −8.34652 | − | 153.943i | −0.0104071 | − | 0.191948i | ||||
\(803\) | 325.915 | + | 53.4310i | 0.405871 | + | 0.0665392i | ||||
\(804\) | 32.7868 | + | 2.01362i | 0.0407797 | + | 0.00250450i | ||||
\(805\) | −1803.25 | − | 196.116i | −2.24007 | − | 0.243622i | ||||
\(806\) | 211.959 | + | 352.278i | 0.262976 | + | 0.437070i | ||||
\(807\) | 783.376 | − | 731.464i | 0.970726 | − | 0.906399i | ||||
\(808\) | 111.239 | + | 678.526i | 0.137672 | + | 0.839760i | ||||
\(809\) | 224.299 | − | 484.814i | 0.277254 | − | 0.599276i | −0.718058 | − | 0.695983i | \(-0.754969\pi\) |
0.995313 | + | 0.0967071i | \(0.0308310\pi\) | |||||||
\(810\) | 225.475 | − | 250.514i | 0.278364 | − | 0.309276i | ||||
\(811\) | 563.140 | − | 428.088i | 0.694377 | − | 0.527851i | −0.197402 | − | 0.980323i | \(-0.563251\pi\) |
0.891779 | + | 0.452471i | \(0.149457\pi\) | |||||||
\(812\) | 104.135 | + | 957.504i | 0.128245 | + | 1.17919i | ||||
\(813\) | −174.100 | + | 8.18741i | −0.214146 | + | 0.0100706i | ||||
\(814\) | 11.9157 | + | 29.9062i | 0.0146385 | + | 0.0367398i | ||||
\(815\) | 917.635 | + | 254.780i | 1.12593 | + | 0.312614i | ||||
\(816\) | 56.9199 | − | 332.250i | 0.0697547 | − | 0.407169i | ||||
\(817\) | −148.100 | − | 279.346i | −0.181273 | − | 0.341916i | ||||
\(818\) | −405.149 | + | 274.698i | −0.495293 | + | 0.335817i | ||||
\(819\) | −142.421 | + | 2075.54i | −0.173896 | + | 2.53423i | ||||
\(820\) | 539.398 | + | 635.028i | 0.657802 | + | 0.774424i | ||||
\(821\) | −1173.35 | − | 467.506i | −1.42917 | − | 0.569435i | −0.478074 | − | 0.878319i | \(-0.658665\pi\) |
−0.951100 | + | 0.308884i | \(0.900044\pi\) | |||||||
\(822\) | −54.7922 | + | 472.264i | −0.0666571 | + | 0.574530i | ||||
\(823\) | 792.128 | + | 476.608i | 0.962489 | + | 0.579110i | 0.907805 | − | 0.419393i | \(-0.137757\pi\) |
0.0546841 | + | 0.998504i | \(0.482585\pi\) | |||||||
\(824\) | 296.409 | − | 879.711i | 0.359720 | − | 1.06761i | ||||
\(825\) | 152.261 | − | 90.1310i | 0.184558 | − | 0.109250i | ||||
\(826\) | 465.848 | − | 205.123i | 0.563981 | − | 0.248333i | ||||
\(827\) | 229.230i | 0.277182i | 0.990350 | + | 0.138591i | \(0.0442573\pi\) | ||||
−0.990350 | + | 0.138591i | \(0.955743\pi\) | |||||||
\(828\) | 536.243 | + | 582.623i | 0.647637 | + | 0.703651i | ||||
\(829\) | −151.941 | − | 91.4199i | −0.183282 | − | 0.110277i | 0.420956 | − | 0.907081i | \(-0.361695\pi\) |
−0.604238 | + | 0.796804i | \(0.706522\pi\) | |||||||
\(830\) | −90.5454 | + | 119.110i | −0.109091 | + | 0.143506i | ||||
\(831\) | −1282.59 | + | 200.834i | −1.54343 | + | 0.241677i | ||||
\(832\) | −258.038 | − | 303.786i | −0.310142 | − | 0.365127i | ||||
\(833\) | −462.229 | − | 999.092i | −0.554897 | − | 1.19939i | ||||
\(834\) | 321.412 | + | 151.509i | 0.385386 | + | 0.181666i | ||||
\(835\) | 239.832 | + | 452.371i | 0.287224 | + | 0.541762i | ||||
\(836\) | 239.088 | + | 203.083i | 0.285990 | + | 0.242922i | ||||
\(837\) | 196.642 | − | 809.930i | 0.234937 | − | 0.967659i | ||||
\(838\) | −25.3394 | − | 63.5972i | −0.0302380 | − | 0.0758916i | ||||
\(839\) | −648.658 | − | 343.897i | −0.773133 | − | 0.409889i | 0.0346275 | − | 0.999400i | \(-0.488976\pi\) |
−0.807760 | + | 0.589511i | \(0.799320\pi\) | |||||||
\(840\) | 687.009 | + | 917.329i | 0.817868 | + | 1.09206i | ||||
\(841\) | 267.571 | − | 203.402i | 0.318158 | − | 0.241858i | ||||
\(842\) | 408.892 | − | 113.528i | 0.485620 | − | 0.134832i | ||||
\(843\) | 347.537 | − | 35.2765i | 0.412263 | − | 0.0418464i | ||||
\(844\) | −229.593 | − | 1400.46i | −0.272030 | − | 1.65931i | ||||
\(845\) | 238.333 | + | 1082.76i | 0.282051 | + | 1.28137i | ||||
\(846\) | −15.4133 | − | 386.878i | −0.0182191 | − | 0.457303i | ||||
\(847\) | 1034.15 | + | 112.471i | 1.22096 | + | 0.132787i | ||||
\(848\) | −787.332 | − | 533.824i | −0.928457 | − | 0.629510i | ||||
\(849\) | −1191.52 | + | 464.870i | −1.40344 | + | 0.547550i | ||||
\(850\) | 4.10085 | + | 75.6357i | 0.00482453 | + | 0.0889832i | ||||
\(851\) | −131.468 | + | 138.790i | −0.154487 | + | 0.163090i | ||||
\(852\) | −227.638 | + | 797.636i | −0.267180 | + | 0.936193i | ||||
\(853\) | 6.26025 | − | 115.463i | 0.00733910 | − | 0.135362i | −0.992568 | − | 0.121695i | \(-0.961167\pi\) |
0.999907 | − | 0.0136664i | \(-0.00435029\pi\) | |||||||
\(854\) | 180.286 | − | 819.047i | 0.211107 | − | 0.959071i | ||||
\(855\) | 780.540 | + | 139.490i | 0.912912 | + | 0.163146i | ||||
\(856\) | 837.165 | − | 282.074i | 0.977997 | − | 0.329526i | ||||
\(857\) | −203.353 | + | 923.840i | −0.237284 | + | 1.07799i | 0.695772 | + | 0.718263i | \(0.255062\pi\) |
−0.933056 | + | 0.359731i | \(0.882869\pi\) | |||||||
\(858\) | −212.575 | + | 110.754i | −0.247757 | + | 0.129084i | ||||
\(859\) | −210.931 | + | 199.804i | −0.245554 | + | 0.232601i | −0.800571 | − | 0.599238i | \(-0.795470\pi\) |
0.555017 | + | 0.831839i | \(0.312712\pi\) | |||||||
\(860\) | −301.127 | + | 317.896i | −0.350148 | + | 0.369647i | ||||
\(861\) | −821.468 | − | 1230.48i | −0.954086 | − | 1.42913i | ||||
\(862\) | 25.4017 | − | 154.943i | 0.0294683 | − | 0.179749i | ||||
\(863\) | 0.882794 | + | 0.598549i | 0.00102294 | + | 0.000693568i | 0.561698 | − | 0.827342i | \(-0.310148\pi\) |
−0.560675 | + | 0.828036i | \(0.689458\pi\) | |||||||
\(864\) | 57.9972 | − | 764.837i | 0.0671263 | − | 0.885228i | ||||
\(865\) | −548.938 | + | 330.285i | −0.634610 | + | 0.381832i | ||||
\(866\) | 82.9499 | + | 376.845i | 0.0957851 | + | 0.435156i | ||||
\(867\) | 390.093 | − | 326.560i | 0.449934 | − | 0.376655i | ||||
\(868\) | 1200.87 | + | 555.583i | 1.38349 | + | 0.640072i | ||||
\(869\) | −22.8835 | + | 6.35356i | −0.0263331 | + | 0.00731135i | ||||
\(870\) | −105.687 | + | 259.818i | −0.121479 | + | 0.298641i | ||||
\(871\) | −58.7026 | + | 6.38429i | −0.0673967 | + | 0.00732984i | ||||
\(872\) | −106.140 | − | 56.2718i | −0.121720 | − | 0.0645319i | ||||
\(873\) | −519.629 | − | 64.0682i | −0.595222 | − | 0.0733886i | ||||
\(874\) | 70.7192 | − | 254.708i | 0.0809144 | − | 0.291427i | ||||
\(875\) | −834.914 | − | 709.182i | −0.954187 | − | 0.810494i | ||||
\(876\) | 301.814 | − | 493.570i | 0.344537 | − | 0.563436i | ||||
\(877\) | −135.902 | − | 200.440i | −0.154962 | − | 0.228552i | 0.742281 | − | 0.670089i | \(-0.233744\pi\) |
−0.897243 | + | 0.441537i | \(0.854434\pi\) | |||||||
\(878\) | 156.869 | + | 339.068i | 0.178667 | + | 0.386182i | ||||
\(879\) | −514.211 | − | 177.375i | −0.584995 | − | 0.201792i | ||||
\(880\) | 134.747 | − | 338.190i | 0.153122 | − | 0.384307i | ||||
\(881\) | 709.743 | − | 933.651i | 0.805610 | − | 1.05976i | −0.191325 | − | 0.981527i | \(-0.561278\pi\) |
0.996935 | − | 0.0782354i | \(-0.0249286\pi\) | |||||||
\(882\) | −321.651 | − | 552.374i | −0.364683 | − | 0.626274i | ||||
\(883\) | 199.637 | + | 67.2655i | 0.226089 | + | 0.0761783i | 0.430066 | − | 0.902797i | \(-0.358490\pi\) |
−0.203977 | + | 0.978976i | \(0.565387\pi\) | |||||||
\(884\) | 723.129i | 0.818020i | ||||||||
\(885\) | −1041.29 | − | 83.3607i | −1.17660 | − | 0.0941929i | ||||
\(886\) | −454.986 | −0.513528 | ||||||||
\(887\) | −276.455 | + | 820.490i | −0.311674 | + | 0.925017i | 0.671286 | + | 0.741198i | \(0.265742\pi\) |
−0.982960 | + | 0.183818i | \(0.941154\pi\) | |||||||
\(888\) | 120.785 | + | 0.866411i | 0.136019 | + | 0.000975688i | ||||
\(889\) | −782.650 | − | 594.955i | −0.880371 | − | 0.669241i | ||||
\(890\) | 250.786 | + | 99.9224i | 0.281782 | + | 0.112272i | ||||
\(891\) | 464.292 | + | 143.378i | 0.521091 | + | 0.160918i | ||||
\(892\) | 383.416 | − | 177.387i | 0.429839 | − | 0.198865i | ||||
\(893\) | 753.921 | − | 511.171i | 0.844257 | − | 0.572420i | ||||
\(894\) | −67.3479 | + | 110.137i | −0.0753332 | + | 0.123196i | ||||
\(895\) | 274.653 | − | 323.346i | 0.306875 | − | 0.361281i | ||||
\(896\) | 1515.22 | + | 420.698i | 1.69109 | + | 0.469529i | ||||
\(897\) | −1126.96 | − | 869.515i | −1.25636 | − | 0.969359i | ||||
\(898\) | −138.581 | + | 261.392i | −0.154322 | + | 0.291082i | ||||
\(899\) | 74.9935 | + | 689.554i | 0.0834188 | + | 0.767023i | ||||
\(900\) | −45.7508 | − | 306.551i | −0.0508342 | − | 0.340613i | ||||
\(901\) | 270.468 | + | 974.136i | 0.300186 | + | 1.08117i | ||||
\(902\) | 71.5749 | − | 154.707i | 0.0793513 | − | 0.171515i | ||||
\(903\) | 596.202 | − | 499.101i | 0.660246 | − | 0.552714i | ||||
\(904\) | −309.107 | + | 68.0395i | −0.341932 | + | 0.0752650i | ||||
\(905\) | −362.771 | − | 602.929i | −0.400851 | − | 0.666220i | ||||
\(906\) | −225.250 | + | 102.257i | −0.248620 | + | 0.112866i | ||||
\(907\) | −881.628 | + | 1300.30i | −0.972027 | + | 1.43363i | −0.0721971 | + | 0.997390i | \(0.523001\pi\) |
−0.899830 | + | 0.436242i | \(0.856309\pi\) | |||||||
\(908\) | −1233.48 | − | 202.219i | −1.35846 | − | 0.222708i | ||||
\(909\) | −506.384 | + | 1054.56i | −0.557078 | + | 1.16014i | ||||
\(910\) | −698.293 | − | 661.459i | −0.767355 | − | 0.726878i | ||||
\(911\) | −94.7957 | − | 100.075i | −0.104057 | − | 0.109851i | 0.671886 | − | 0.740654i | \(-0.265484\pi\) |
−0.775943 | + | 0.630803i | \(0.782726\pi\) | |||||||
\(912\) | 408.367 | − | 212.764i | 0.447770 | − | 0.233294i | ||||
\(913\) | −210.669 | − | 46.3718i | −0.230744 | − | 0.0507906i | ||||
\(914\) | 128.651 | + | 381.821i | 0.140756 | + | 0.417748i | ||||
\(915\) | −1123.62 | + | 1303.76i | −1.22800 | + | 1.42487i | ||||
\(916\) | −960.334 | − | 211.385i | −1.04840 | − | 0.230770i | ||||
\(917\) | −121.590 | − | 6.59241i | −0.132595 | − | 0.00718910i | ||||
\(918\) | −146.275 | + | 147.912i | −0.159341 | + | 0.161124i | ||||
\(919\) | 332.598 | + | 315.054i | 0.361913 | + | 0.342822i | 0.846951 | − | 0.531671i | \(-0.178436\pi\) |
−0.485038 | + | 0.874493i | \(0.661194\pi\) | |||||||
\(920\) | −782.983 | + | 42.4521i | −0.851068 | + | 0.0461436i | ||||
\(921\) | 179.263 | − | 69.9393i | 0.194640 | − | 0.0759384i | ||||
\(922\) | −166.722 | + | 245.896i | −0.180826 | + | 0.266699i | ||||
\(923\) | 161.214 | − | 1482.34i | 0.174663 | − | 1.60600i | ||||
\(924\) | −366.227 | + | 678.964i | −0.396350 | + | 0.734809i | ||||
\(925\) | 73.0801 | − | 16.0862i | 0.0790055 | − | 0.0173904i | ||||
\(926\) | −240.533 | + | 39.4334i | −0.259755 | + | 0.0425847i | ||||
\(927\) | 1270.93 | − | 937.675i | 1.37101 | − | 1.01152i | ||||
\(928\) | 170.773 | + | 615.071i | 0.184023 | + | 0.662791i | ||||
\(929\) | 265.265 | + | 348.951i | 0.285539 | + | 0.375620i | 0.916392 | − | 0.400283i | \(-0.131088\pi\) |
−0.630853 | + | 0.775902i | \(0.717295\pi\) | |||||||
\(930\) | 230.988 | + | 308.427i | 0.248375 | + | 0.331642i | ||||
\(931\) | 704.371 | − | 1328.58i | 0.756575 | − | 1.42705i | ||||
\(932\) | 682.284 | − | 271.847i | 0.732065 | − | 0.291681i | ||||
\(933\) | 68.8460 | + | 255.044i | 0.0737900 | + | 0.273359i | ||||
\(934\) | 91.3981 | − | 107.602i | 0.0978567 | − | 0.115206i | ||||
\(935\) | −341.840 | + | 181.232i | −0.365605 | + | 0.193831i | ||||
\(936\) | 84.4008 | + | 895.382i | 0.0901718 | + | 0.956605i | ||||
\(937\) | −456.605 | + | 211.248i | −0.487305 | + | 0.225451i | −0.648127 | − | 0.761532i | \(-0.724448\pi\) |
0.160822 | + | 0.986983i | \(0.448585\pi\) | |||||||
\(938\) | 20.5535 | − | 17.4583i | 0.0219121 | − | 0.0186123i | ||||
\(939\) | 836.362 | − | 130.961i | 0.890694 | − | 0.139469i | ||||
\(940\) | −1004.26 | − | 763.416i | −1.06836 | − | 0.812145i | ||||
\(941\) | 659.118 | − | 1095.46i | 0.700445 | − | 1.16415i | −0.278581 | − | 0.960413i | \(-0.589864\pi\) |
0.979026 | − | 0.203735i | \(-0.0653082\pi\) | |||||||
\(942\) | −244.828 | + | 52.0522i | −0.259902 | + | 0.0552572i | ||||
\(943\) | 1012.26 | 1.07345 | ||||||||
\(944\) | −508.344 | + | 331.073i | −0.538500 | + | 0.350713i | ||||
\(945\) | 63.6454 | + | 1948.86i | 0.0673496 | + | 2.06228i | ||||
\(946\) | 84.8949 | + | 28.6044i | 0.0897409 | + | 0.0302372i | ||||
\(947\) | 314.320 | − | 522.404i | 0.331911 | − | 0.551641i | −0.645295 | − | 0.763934i | \(-0.723265\pi\) |
0.977206 | + | 0.212293i | \(0.0680931\pi\) | |||||||
\(948\) | −4.79451 | + | 41.3248i | −0.00505750 | + | 0.0435915i | ||||
\(949\) | −384.934 | + | 966.112i | −0.405621 | + | 1.01803i | ||||
\(950\) | −78.8616 | + | 66.9857i | −0.0830122 | + | 0.0705112i | ||||
\(951\) | 121.750 | − | 176.824i | 0.128023 | − | 0.185934i | ||||
\(952\) | −396.965 | − | 585.479i | −0.416980 | − | 0.614999i | ||||
\(953\) | −19.4876 | + | 10.3317i | −0.0204487 | + | 0.0108412i | −0.478601 | − | 0.878032i | \(-0.658856\pi\) |
0.458153 | + | 0.888873i | \(0.348511\pi\) | |||||||
\(954\) | 209.436 | + | 548.396i | 0.219535 | + | 0.574839i | ||||
\(955\) | −494.664 | + | 1781.62i | −0.517972 | + | 1.86557i | ||||
\(956\) | −608.029 | + | 242.261i | −0.636013 | + | 0.253411i | ||||
\(957\) | −403.950 | + | 18.9965i | −0.422100 | + | 0.0198501i | ||||
\(958\) | −26.7167 | + | 2.90561i | −0.0278880 | + | 0.00303300i | ||||
\(959\) | −1664.56 | − | 2189.69i | −1.73572 | − | 2.28330i | ||||
\(960\) | −269.366 | − | 258.848i | −0.280590 | − | 0.269634i | ||||
\(961\) | −7.36211 | − | 3.40608i | −0.00766089 | − | 0.00354430i | ||||
\(962\) | −100.036 | + | 16.4001i | −0.103988 | + | 0.0170479i | ||||
\(963\) | 1442.31 | + | 422.833i | 1.49773 | + | 0.439079i | ||||
\(964\) | −786.136 | + | 473.003i | −0.815494 | + | 0.490667i | ||||
\(965\) | 96.7918 | − | 889.986i | 0.100302 | − | 0.922265i | ||||
\(966\) | 648.844 | + | 39.8490i | 0.671681 | + | 0.0412516i | ||||
\(967\) | 76.3377 | − | 465.639i | 0.0789428 | − | 0.481530i | −0.917534 | − | 0.397658i | \(-0.869823\pi\) |
0.996477 | − | 0.0838718i | \(-0.0267286\pi\) | |||||||
\(968\) | 449.034 | − | 24.3459i | 0.463878 | − | 0.0251507i | ||||
\(969\) | −477.182 | − | 108.630i | −0.492447 | − | 0.112105i | ||||
\(970\) | 175.735 | − | 166.465i | 0.181170 | − | 0.171613i | ||||
\(971\) | 979.170 | + | 53.0891i | 1.00841 | + | 0.0546746i | 0.550937 | − | 0.834547i | \(-0.314270\pi\) |
0.457477 | + | 0.889221i | \(0.348753\pi\) | |||||||
\(972\) | 539.098 | − | 658.736i | 0.554628 | − | 0.677712i | ||||
\(973\) | −1948.11 | + | 656.394i | −2.00217 | + | 0.674609i | ||||
\(974\) | 127.179 | + | 377.455i | 0.130574 | + | 0.387531i | ||||
\(975\) | 174.110 | + | 529.257i | 0.178574 | + | 0.542828i | ||||
\(976\) | −54.1133 | + | 998.061i | −0.0554439 | + | 1.02260i | ||||
\(977\) | −537.520 | − | 567.453i | −0.550174 | − | 0.580812i | 0.390295 | − | 0.920690i | \(-0.372373\pi\) |
−0.940470 | + | 0.339878i | \(0.889614\pi\) | |||||||
\(978\) | −332.791 | − | 75.7596i | −0.340277 | − | 0.0774638i | ||||
\(979\) | 21.0716 | + | 388.643i | 0.0215236 | + | 0.396980i | ||||
\(980\) | −2055.13 | − | 336.922i | −2.09707 | − | 0.343798i | ||||
\(981\) | −93.1391 | − | 181.939i | −0.0949431 | − | 0.185463i | ||||
\(982\) | −641.574 | − | 69.7754i | −0.653334 | − | 0.0710544i | ||||
\(983\) | 201.280 | + | 334.530i | 0.204761 | + | 0.340315i | 0.942172 | − | 0.335128i | \(-0.108780\pi\) |
−0.737412 | + | 0.675444i | \(0.763952\pi\) | |||||||
\(984\) | −436.494 | − | 467.473i | −0.443592 | − | 0.475074i | ||||
\(985\) | 11.6999 | + | 71.3661i | 0.0118780 | + | 0.0724529i | ||||
\(986\) | 72.6919 | − | 157.121i | 0.0737241 | − | 0.159352i | ||||
\(987\) | 1615.14 | + | 1552.07i | 1.63641 | + | 1.57252i | ||||
\(988\) | −786.382 | + | 597.792i | −0.795934 | + | 0.605053i | ||||
\(989\) | 57.5175 | + | 528.865i | 0.0581573 | + | 0.534747i | ||||
\(990\) | −187.738 | + | 123.395i | −0.189634 | + | 0.124642i | ||||
\(991\) | 629.231 | + | 1579.25i | 0.634946 | + | 1.59359i | 0.795084 | + | 0.606499i | \(0.207427\pi\) |
−0.160139 | + | 0.987095i | \(0.551194\pi\) | |||||||
\(992\) | 844.978 | + | 234.607i | 0.851792 | + | 0.236499i | ||||
\(993\) | 436.245 | + | 74.7358i | 0.439320 | + | 0.0752627i | ||||
\(994\) | 318.973 | + | 601.647i | 0.320898 | + | 0.605279i | ||||
\(995\) | −1053.45 | + | 714.260i | −1.05875 | + | 0.717849i | ||||
\(996\) | −214.293 | + | 311.229i | −0.215154 | + | 0.312479i | ||||
\(997\) | 415.013 | + | 488.591i | 0.416262 | + | 0.490061i | 0.929831 | − | 0.367987i | \(-0.119953\pi\) |
−0.513569 | + | 0.858048i | \(0.671677\pi\) | |||||||
\(998\) | 80.7075 | + | 32.1568i | 0.0808692 | + | 0.0322212i | ||||
\(999\) | 167.574 | + | 118.960i | 0.167742 | + | 0.119080i |
(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 | 177.3.h.a.5.16 | ✓ | 1064 | |
3.2 | odd | 2 | inner | 177.3.h.a.5.23 | yes | 1064 | |
59.12 | even | 29 | inner | 177.3.h.a.71.23 | yes | 1064 | |
177.71 | odd | 58 | inner | 177.3.h.a.71.16 | yes | 1064 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
177.3.h.a.5.16 | ✓ | 1064 | 1.1 | even | 1 | trivial | |
177.3.h.a.5.23 | yes | 1064 | 3.2 | odd | 2 | inner | |
177.3.h.a.71.16 | yes | 1064 | 177.71 | odd | 58 | inner | |
177.3.h.a.71.23 | yes | 1064 | 59.12 | even | 29 | inner |