Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [354,2,Mod(11,354)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(354, base_ring=CyclotomicField(58))
chi = DirichletCharacter(H, H._module([29, 25]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("354.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 354 = 2 \cdot 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 354.g (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: | \(2.82670423155\) |
Analytic rank: | \(0\) |
Dimension: | \(280\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{58})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{58}]$ |
Embedding invariants
Embedding label | 77.10 | ||
Character | \(\chi\) | \(=\) | 354.77 |
Dual form | 354.2.g.b.23.10 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/354\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(e\left(\frac{43}{58}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.725995 | + | 0.687699i | 0.513356 | + | 0.486277i | ||||
\(3\) | 1.73205 | − | 0.00243249i | 0.999999 | − | 0.00140440i | ||||
\(4\) | 0.0541389 | + | 0.998533i | 0.0270695 | + | 0.499267i | ||||
\(5\) | 1.16466 | − | 0.190936i | 0.520852 | − | 0.0853894i | 0.104379 | − | 0.994538i | \(-0.466714\pi\) |
0.416473 | + | 0.909148i | \(0.363266\pi\) | |||||||
\(6\) | 1.25913 | + | 1.18936i | 0.514039 | + | 0.485556i | ||||
\(7\) | 0.141142 | + | 0.266222i | 0.0533466 | + | 0.100622i | 0.908752 | − | 0.417337i | \(-0.137037\pi\) |
−0.855405 | + | 0.517960i | \(0.826692\pi\) | |||||||
\(8\) | −0.647386 | + | 0.762162i | −0.228886 | + | 0.269465i | ||||
\(9\) | 2.99999 | − | 0.00842639i | 0.999996 | − | 0.00280880i | ||||
\(10\) | 0.976845 | + | 0.662318i | 0.308906 | + | 0.209443i | ||||
\(11\) | −2.52028 | − | 0.274097i | −0.759893 | − | 0.0826434i | −0.280036 | − | 0.959990i | \(-0.590346\pi\) |
−0.479858 | + | 0.877346i | \(0.659312\pi\) | |||||||
\(12\) | 0.0962002 | + | 1.72938i | 0.0277706 | + | 0.499228i | ||||
\(13\) | −0.380998 | − | 0.823514i | −0.105670 | − | 0.228402i | 0.847527 | − | 0.530753i | \(-0.178091\pi\) |
−0.953197 | + | 0.302351i | \(0.902229\pi\) | |||||||
\(14\) | −0.0806122 | + | 0.290339i | −0.0215445 | + | 0.0775963i | ||||
\(15\) | 2.01679 | − | 0.333544i | 0.520732 | − | 0.0861208i | ||||
\(16\) | −0.994138 | + | 0.108119i | −0.248534 | + | 0.0270298i | ||||
\(17\) | −5.35154 | − | 2.83721i | −1.29794 | − | 0.688124i | −0.331121 | − | 0.943588i | \(-0.607427\pi\) |
−0.966819 | + | 0.255464i | \(0.917772\pi\) | |||||||
\(18\) | 2.18377 | + | 2.05697i | 0.514720 | + | 0.484833i | ||||
\(19\) | 4.46044 | + | 2.68376i | 1.02330 | + | 0.615696i | 0.925200 | − | 0.379481i | \(-0.123897\pi\) |
0.0980956 | + | 0.995177i | \(0.468725\pi\) | |||||||
\(20\) | 0.253710 | + | 1.15262i | 0.0567313 | + | 0.257733i | ||||
\(21\) | 0.245112 | + | 0.460766i | 0.0534879 | + | 0.100547i | ||||
\(22\) | −1.64122 | − | 1.93219i | −0.349908 | − | 0.411944i | ||||
\(23\) | 0.595716 | − | 1.49513i | 0.124215 | − | 0.311757i | −0.853698 | − | 0.520769i | \(-0.825645\pi\) |
0.977913 | + | 0.209012i | \(0.0670247\pi\) | |||||||
\(24\) | −1.11945 | + | 1.32168i | −0.228507 | + | 0.269786i | ||||
\(25\) | −3.41829 | + | 1.15176i | −0.683658 | + | 0.230351i | ||||
\(26\) | 0.289727 | − | 0.859879i | 0.0568202 | − | 0.168636i | ||||
\(27\) | 5.19611 | − | 0.0218924i | 0.999991 | − | 0.00421319i | ||||
\(28\) | −0.258190 | + | 0.155348i | −0.0487933 | + | 0.0293580i | ||||
\(29\) | 1.15084 | + | 1.21492i | 0.213705 | + | 0.225605i | 0.824031 | − | 0.566545i | \(-0.191720\pi\) |
−0.610326 | + | 0.792150i | \(0.708962\pi\) | |||||||
\(30\) | 1.69356 | + | 1.14479i | 0.309199 | + | 0.209009i | ||||
\(31\) | −1.81649 | − | 3.01903i | −0.326251 | − | 0.542233i | 0.649709 | − | 0.760183i | \(-0.274891\pi\) |
−0.975960 | + | 0.217950i | \(0.930063\pi\) | |||||||
\(32\) | −0.796093 | − | 0.605174i | −0.140731 | − | 0.106981i | ||||
\(33\) | −4.36592 | − | 0.468619i | −0.760009 | − | 0.0815761i | ||||
\(34\) | −1.93405 | − | 5.74005i | −0.331687 | − | 0.984411i | ||||
\(35\) | 0.215214 | + | 0.283109i | 0.0363778 | + | 0.0478541i | ||||
\(36\) | 0.170830 | + | 2.99513i | 0.0284717 | + | 0.499189i | ||||
\(37\) | −4.30482 | + | 3.65655i | −0.707708 | + | 0.601133i | −0.927238 | − | 0.374473i | \(-0.877824\pi\) |
0.219529 | + | 0.975606i | \(0.429548\pi\) | |||||||
\(38\) | 1.39264 | + | 5.01584i | 0.225916 | + | 0.813676i | ||||
\(39\) | −0.661910 | − | 1.42544i | −0.105990 | − | 0.228253i | ||||
\(40\) | −0.608461 | + | 1.01127i | −0.0962061 | + | 0.159896i | ||||
\(41\) | −0.179071 | + | 0.0713485i | −0.0279662 | + | 0.0111428i | −0.384079 | − | 0.923300i | \(-0.625481\pi\) |
0.356113 | + | 0.934443i | \(0.384102\pi\) | |||||||
\(42\) | −0.138918 | + | 0.503077i | −0.0214355 | + | 0.0776265i | ||||
\(43\) | −0.719384 | − | 6.61462i | −0.109705 | − | 1.00872i | −0.911550 | − | 0.411189i | \(-0.865114\pi\) |
0.801845 | − | 0.597532i | \(-0.203852\pi\) | |||||||
\(44\) | 0.137250 | − | 2.53142i | 0.0206912 | − | 0.381627i | ||||
\(45\) | 3.49236 | − | 0.582621i | 0.520610 | − | 0.0868520i | ||||
\(46\) | 1.46069 | − | 0.675788i | 0.215367 | − | 0.0996394i | ||||
\(47\) | −0.642133 | + | 3.91684i | −0.0936647 | + | 0.571330i | 0.897743 | + | 0.440520i | \(0.145206\pi\) |
−0.991408 | + | 0.130810i | \(0.958242\pi\) | |||||||
\(48\) | −1.72163 | + | 0.189686i | −0.248496 | + | 0.0273788i | ||||
\(49\) | 3.87736 | − | 5.71867i | 0.553908 | − | 0.816953i | ||||
\(50\) | −3.27372 | − | 1.51459i | −0.462974 | − | 0.214195i | ||||
\(51\) | −9.27604 | − | 4.90117i | −1.29891 | − | 0.686301i | ||||
\(52\) | 0.801679 | − | 0.425023i | 0.111173 | − | 0.0589401i | ||||
\(53\) | −3.04142 | + | 2.06213i | −0.417771 | + | 0.283256i | −0.751907 | − | 0.659269i | \(-0.770866\pi\) |
0.334136 | + | 0.942525i | \(0.391555\pi\) | |||||||
\(54\) | 3.78741 | + | 3.55747i | 0.515401 | + | 0.484110i | ||||
\(55\) | −2.98761 | + | 0.161983i | −0.402849 | + | 0.0218418i | ||||
\(56\) | −0.294277 | − | 0.0647753i | −0.0393245 | − | 0.00865597i | ||||
\(57\) | 7.73223 | + | 4.63755i | 1.02416 | + | 0.614259i | ||||
\(58\) | 1.67346i | 0.219736i | ||||||||
\(59\) | −2.74338 | + | 7.17453i | −0.357157 | + | 0.934044i | ||||
\(60\) | 0.442242 | + | 1.99577i | 0.0570932 | + | 0.257653i | ||||
\(61\) | 4.15138 | − | 4.38256i | 0.531530 | − | 0.561130i | −0.403826 | − | 0.914836i | \(-0.632320\pi\) |
0.935357 | + | 0.353706i | \(0.115079\pi\) | |||||||
\(62\) | 0.757421 | − | 3.44100i | 0.0961926 | − | 0.437007i | ||||
\(63\) | 0.425667 | + | 0.797473i | 0.0536290 | + | 0.100472i | ||||
\(64\) | −0.161782 | − | 0.986827i | −0.0202227 | − | 0.123353i | ||||
\(65\) | −0.600972 | − | 0.886368i | −0.0745414 | − | 0.109940i | ||||
\(66\) | −2.84737 | − | 3.34265i | −0.350487 | − | 0.411452i | ||||
\(67\) | −3.38248 | − | 2.87310i | −0.413236 | − | 0.351006i | 0.416526 | − | 0.909124i | \(-0.363248\pi\) |
−0.829761 | + | 0.558118i | \(0.811523\pi\) | |||||||
\(68\) | 2.54332 | − | 5.49730i | 0.308423 | − | 0.666645i | ||||
\(69\) | 1.02817 | − | 2.59110i | 0.123777 | − | 0.311931i | ||||
\(70\) | −0.0384496 | + | 0.353538i | −0.00459560 | + | 0.0422559i | ||||
\(71\) | 10.9889 | + | 1.80155i | 1.30415 | + | 0.213804i | 0.773504 | − | 0.633791i | \(-0.218502\pi\) |
0.530643 | + | 0.847595i | \(0.321950\pi\) | |||||||
\(72\) | −1.93573 | + | 2.29193i | −0.228128 | + | 0.270107i | ||||
\(73\) | −12.3998 | − | 3.44278i | −1.45128 | − | 0.402946i | −0.549630 | − | 0.835408i | \(-0.685231\pi\) |
−0.901652 | + | 0.432462i | \(0.857645\pi\) | |||||||
\(74\) | −5.63989 | − | 0.305786i | −0.655624 | − | 0.0355469i | ||||
\(75\) | −5.91784 | + | 2.00321i | −0.683333 | + | 0.231311i | ||||
\(76\) | −2.43834 | + | 4.59919i | −0.279697 | + | 0.527564i | ||||
\(77\) | −0.282746 | − | 0.709640i | −0.0322219 | − | 0.0808710i | ||||
\(78\) | 0.499730 | − | 1.49006i | 0.0565833 | − | 0.168716i | ||||
\(79\) | −7.17805 | + | 1.58001i | −0.807594 | + | 0.177765i | −0.599532 | − | 0.800351i | \(-0.704647\pi\) |
−0.208062 | + | 0.978116i | \(0.566716\pi\) | |||||||
\(80\) | −1.13719 | + | 0.315739i | −0.127142 | + | 0.0353007i | ||||
\(81\) | 8.99986 | − | 0.0505581i | 0.999984 | − | 0.00561757i | ||||
\(82\) | −0.179071 | − | 0.0713485i | −0.0197751 | − | 0.00787912i | ||||
\(83\) | 10.9754 | − | 8.34331i | 1.20471 | − | 0.915797i | 0.206672 | − | 0.978410i | \(-0.433737\pi\) |
0.998038 | + | 0.0626136i | \(0.0199436\pi\) | |||||||
\(84\) | −0.446820 | + | 0.269698i | −0.0487520 | + | 0.0294265i | ||||
\(85\) | −6.77446 | − | 2.28258i | −0.734793 | − | 0.247581i | ||||
\(86\) | 4.02660 | − | 5.29691i | 0.434200 | − | 0.571180i | ||||
\(87\) | 1.99626 | + | 2.10151i | 0.214021 | + | 0.225305i | ||||
\(88\) | 1.84050 | − | 1.74342i | 0.196198 | − | 0.185849i | ||||
\(89\) | −3.21162 | + | 3.04221i | −0.340431 | + | 0.322473i | −0.838746 | − | 0.544523i | \(-0.816711\pi\) |
0.498315 | + | 0.866996i | \(0.333952\pi\) | |||||||
\(90\) | 2.93611 | + | 1.97871i | 0.309493 | + | 0.208575i | ||||
\(91\) | 0.165462 | − | 0.217662i | 0.0173452 | − | 0.0228172i | ||||
\(92\) | 1.52519 | + | 0.513898i | 0.159012 | + | 0.0535775i | ||||
\(93\) | −3.15359 | − | 5.22468i | −0.327012 | − | 0.541775i | ||||
\(94\) | −3.15979 | + | 2.40201i | −0.325908 | + | 0.247749i | ||||
\(95\) | 5.70733 | + | 2.27401i | 0.585559 | + | 0.233308i | ||||
\(96\) | −1.38034 | − | 1.04625i | −0.140881 | − | 0.106783i | ||||
\(97\) | 5.83361 | − | 1.61969i | 0.592313 | − | 0.164455i | 0.0415785 | − | 0.999135i | \(-0.486761\pi\) |
0.550735 | + | 0.834680i | \(0.314348\pi\) | |||||||
\(98\) | 6.74767 | − | 1.48527i | 0.681618 | − | 0.150035i | ||||
\(99\) | −7.56312 | − | 0.801051i | −0.760122 | − | 0.0805087i | ||||
\(100\) | −1.33513 | − | 3.35092i | −0.133513 | − | 0.335092i | ||||
\(101\) | −1.37467 | + | 2.59291i | −0.136785 | + | 0.258004i | −0.942436 | − | 0.334386i | \(-0.891471\pi\) |
0.805651 | + | 0.592391i | \(0.201816\pi\) | |||||||
\(102\) | −3.36383 | − | 9.93735i | −0.333069 | − | 0.983945i | ||||
\(103\) | −1.72269 | − | 0.0934017i | −0.169742 | − | 0.00920314i | −0.0309280 | − | 0.999522i | \(-0.509846\pi\) |
−0.138814 | + | 0.990318i | \(0.544329\pi\) | |||||||
\(104\) | 0.874304 | + | 0.242749i | 0.0857325 | + | 0.0238035i | ||||
\(105\) | 0.373449 | + | 0.489835i | 0.0364449 | + | 0.0478030i | ||||
\(106\) | −3.62618 | − | 0.594483i | −0.352206 | − | 0.0577413i | ||||
\(107\) | 0.933364 | − | 8.58214i | 0.0902317 | − | 0.829667i | −0.858335 | − | 0.513090i | \(-0.828501\pi\) |
0.948567 | − | 0.316577i | \(-0.102534\pi\) | |||||||
\(108\) | 0.303172 | + | 5.18730i | 0.0291727 | + | 0.499148i | ||||
\(109\) | −0.628505 | + | 1.35849i | −0.0601999 | + | 0.130120i | −0.935340 | − | 0.353749i | \(-0.884907\pi\) |
0.875141 | + | 0.483869i | \(0.160769\pi\) | |||||||
\(110\) | −2.28039 | − | 1.93698i | −0.217426 | − | 0.184684i | ||||
\(111\) | −7.44727 | + | 6.34379i | −0.706864 | + | 0.602126i | ||||
\(112\) | −0.169098 | − | 0.249401i | −0.0159783 | − | 0.0235662i | ||||
\(113\) | 0.491485 | + | 2.99792i | 0.0462350 | + | 0.282021i | 0.999817 | − | 0.0191113i | \(-0.00608369\pi\) |
−0.953582 | + | 0.301132i | \(0.902635\pi\) | |||||||
\(114\) | 2.42432 | + | 8.68429i | 0.227059 | + | 0.813358i | ||||
\(115\) | 0.408332 | − | 1.85507i | 0.0380771 | − | 0.172986i | ||||
\(116\) | −1.15084 | + | 1.21492i | −0.106852 | + | 0.112803i | ||||
\(117\) | −1.14993 | − | 2.46732i | −0.106311 | − | 0.228104i | ||||
\(118\) | −6.92560 | + | 3.32206i | −0.637553 | + | 0.305820i | ||||
\(119\) | − | 1.82515i | − | 0.167311i | ||||||
\(120\) | −1.05142 | + | 1.75305i | −0.0959815 | + | 0.160031i | ||||
\(121\) | −4.46614 | − | 0.983071i | −0.406013 | − | 0.0893701i | ||||
\(122\) | 6.02777 | − | 0.326816i | 0.545729 | − | 0.0295886i | ||||
\(123\) | −0.309987 | + | 0.124015i | −0.0279505 | + | 0.0111820i | ||||
\(124\) | 2.91626 | − | 1.97727i | 0.261888 | − | 0.177564i | ||||
\(125\) | −8.97487 | + | 4.75818i | −0.802737 | + | 0.425584i | ||||
\(126\) | −0.239389 | + | 0.871693i | −0.0213265 | + | 0.0776565i | ||||
\(127\) | 15.8191 | + | 7.31869i | 1.40372 | + | 0.649429i | 0.968068 | − | 0.250688i | \(-0.0806567\pi\) |
0.435649 | + | 0.900116i | \(0.356519\pi\) | |||||||
\(128\) | 0.561187 | − | 0.827689i | 0.0496024 | − | 0.0731581i | ||||
\(129\) | −1.26210 | − | 11.4551i | −0.111122 | − | 1.00857i | ||||
\(130\) | 0.173251 | − | 1.05679i | 0.0151952 | − | 0.0926864i | ||||
\(131\) | 15.6818 | − | 7.25518i | 1.37013 | − | 0.633888i | 0.409649 | − | 0.912243i | \(-0.365651\pi\) |
0.960478 | + | 0.278355i | \(0.0897891\pi\) | |||||||
\(132\) | 0.231566 | − | 4.38488i | 0.0201552 | − | 0.381655i | ||||
\(133\) | −0.0849200 | + | 1.56626i | −0.00736349 | + | 0.135812i | ||||
\(134\) | −0.479833 | − | 4.41199i | −0.0414512 | − | 0.381138i | ||||
\(135\) | 6.04752 | − | 1.01762i | 0.520488 | − | 0.0875831i | ||||
\(136\) | 5.62693 | − | 2.24197i | 0.482505 | − | 0.192248i | ||||
\(137\) | −6.75453 | + | 11.2261i | −0.577078 | + | 0.959112i | 0.421553 | + | 0.906804i | \(0.361485\pi\) |
−0.998631 | + | 0.0523077i | \(0.983342\pi\) | |||||||
\(138\) | 2.52834 | − | 1.17405i | 0.215227 | − | 0.0999418i | ||||
\(139\) | 0.684519 | + | 2.46542i | 0.0580602 | + | 0.209114i | 0.986890 | − | 0.161392i | \(-0.0515983\pi\) |
−0.928830 | + | 0.370506i | \(0.879184\pi\) | |||||||
\(140\) | −0.271042 | + | 0.230225i | −0.0229072 | + | 0.0194576i | ||||
\(141\) | −1.10268 | + | 6.78572i | −0.0928623 | + | 0.571461i | ||||
\(142\) | 6.73900 | + | 8.86500i | 0.565524 | + | 0.743934i | ||||
\(143\) | 0.734499 | + | 2.17992i | 0.0614219 | + | 0.182294i | ||||
\(144\) | −2.98149 | + | 0.332733i | −0.248458 | + | 0.0277277i | ||||
\(145\) | 1.57231 | + | 1.19524i | 0.130573 | + | 0.0992589i | ||||
\(146\) | −6.63457 | − | 11.0267i | −0.549081 | − | 0.912580i | ||||
\(147\) | 6.70186 | − | 9.91445i | 0.552760 | − | 0.817730i | ||||
\(148\) | −3.88424 | − | 4.10055i | −0.319283 | − | 0.337063i | ||||
\(149\) | −16.1987 | + | 9.74643i | −1.32705 | + | 0.798459i | −0.989732 | − | 0.142933i | \(-0.954347\pi\) |
−0.337316 | + | 0.941391i | \(0.609519\pi\) | |||||||
\(150\) | −5.67393 | − | 2.61537i | −0.463275 | − | 0.213544i | ||||
\(151\) | 1.90705 | − | 5.65993i | 0.155194 | − | 0.460598i | −0.841647 | − | 0.540028i | \(-0.818413\pi\) |
0.996840 | + | 0.0794300i | \(0.0253100\pi\) | |||||||
\(152\) | −4.93309 | + | 1.66215i | −0.400126 | + | 0.134818i | ||||
\(153\) | −16.0785 | − | 8.46650i | −1.29987 | − | 0.684476i | ||||
\(154\) | 0.282746 | − | 0.709640i | 0.0227844 | − | 0.0571844i | ||||
\(155\) | −2.69204 | − | 3.16931i | −0.216229 | − | 0.254565i | ||||
\(156\) | 1.38751 | − | 0.738111i | 0.111090 | − | 0.0590962i | ||||
\(157\) | 2.34381 | + | 10.6480i | 0.187057 | + | 0.849806i | 0.972872 | + | 0.231345i | \(0.0743126\pi\) |
−0.785815 | + | 0.618461i | \(0.787756\pi\) | |||||||
\(158\) | −6.29780 | − | 3.78926i | −0.501026 | − | 0.301458i | ||||
\(159\) | −5.26287 | + | 3.57911i | −0.417373 | + | 0.283842i | ||||
\(160\) | −1.04273 | − | 0.552819i | −0.0824349 | − | 0.0437042i | ||||
\(161\) | 0.482118 | − | 0.0524335i | 0.0379962 | − | 0.00413234i | ||||
\(162\) | 6.56863 | + | 6.15249i | 0.516080 | + | 0.483385i | ||||
\(163\) | −1.69823 | + | 6.11648i | −0.133016 | + | 0.479080i | −0.999808 | − | 0.0195896i | \(-0.993764\pi\) |
0.866792 | + | 0.498669i | \(0.166178\pi\) | |||||||
\(164\) | −0.0809386 | − | 0.174946i | −0.00632024 | − | 0.0136610i | ||||
\(165\) | −5.17429 | + | 0.287830i | −0.402818 | + | 0.0224076i | ||||
\(166\) | 13.7058 | + | 1.49060i | 1.06378 | + | 0.115693i | ||||
\(167\) | 21.3303 | + | 14.4623i | 1.65059 | + | 1.11913i | 0.867940 | + | 0.496669i | \(0.165444\pi\) |
0.782651 | + | 0.622460i | \(0.213867\pi\) | |||||||
\(168\) | −0.509860 | − | 0.111478i | −0.0393366 | − | 0.00860073i | ||||
\(169\) | 7.88301 | − | 9.28059i | 0.606385 | − | 0.713892i | ||||
\(170\) | −3.34850 | − | 6.31594i | −0.256818 | − | 0.484410i | ||||
\(171\) | 13.4039 | + | 8.01366i | 1.02502 | + | 0.612820i | ||||
\(172\) | 6.56597 | − | 1.07644i | 0.500651 | − | 0.0820775i | ||||
\(173\) | 0.312817 | + | 5.76958i | 0.0237831 | + | 0.438653i | 0.986040 | + | 0.166510i | \(0.0532497\pi\) |
−0.962257 | + | 0.272143i | \(0.912268\pi\) | |||||||
\(174\) | 0.00407067 | + | 2.89851i | 0.000308596 | + | 0.219735i | ||||
\(175\) | −0.789086 | − | 0.747462i | −0.0596493 | − | 0.0565028i | ||||
\(176\) | 2.53514 | 0.191094 | ||||||||
\(177\) | −4.73421 | + | 12.4333i | −0.355845 | + | 0.934545i | ||||
\(178\) | −4.42374 | −0.331574 | ||||||||
\(179\) | 4.52715 | + | 4.28834i | 0.338375 | + | 0.320526i | 0.837952 | − | 0.545744i | \(-0.183753\pi\) |
−0.499577 | + | 0.866269i | \(0.666511\pi\) | |||||||
\(180\) | 0.770839 | + | 3.45570i | 0.0574549 | + | 0.257572i | ||||
\(181\) | 1.29257 | + | 23.8401i | 0.0960760 | + | 1.77202i | 0.508535 | + | 0.861041i | \(0.330187\pi\) |
−0.412459 | + | 0.910976i | \(0.635330\pi\) | |||||||
\(182\) | 0.269811 | − | 0.0442333i | 0.0199997 | − | 0.00327879i | ||||
\(183\) | 7.17974 | − | 7.60091i | 0.530742 | − | 0.561876i | ||||
\(184\) | 0.753877 | + | 1.42196i | 0.0555765 | + | 0.104828i | ||||
\(185\) | −4.31549 | + | 5.08059i | −0.317281 | + | 0.373532i | ||||
\(186\) | 1.30352 | − | 5.96182i | 0.0955787 | − | 0.437142i | ||||
\(187\) | 12.7097 | + | 8.61741i | 0.929427 | + | 0.630167i | ||||
\(188\) | −3.94586 | − | 0.429138i | −0.287781 | − | 0.0312981i | ||||
\(189\) | 0.739216 | + | 1.38023i | 0.0537701 | + | 0.100397i | ||||
\(190\) | 2.57966 | + | 5.57584i | 0.187148 | + | 0.404514i | ||||
\(191\) | −2.97196 | + | 10.7040i | −0.215043 | + | 0.774516i | 0.774782 | + | 0.632229i | \(0.217860\pi\) |
−0.989825 | + | 0.142288i | \(0.954554\pi\) | |||||||
\(192\) | −0.282615 | − | 1.70884i | −0.0203960 | − | 0.123325i | ||||
\(193\) | 9.47043 | − | 1.02997i | 0.681697 | − | 0.0741390i | 0.239283 | − | 0.970950i | \(-0.423088\pi\) |
0.442414 | + | 0.896811i | \(0.354122\pi\) | |||||||
\(194\) | 5.34904 | + | 2.83588i | 0.384038 | + | 0.203604i | ||||
\(195\) | −1.04307 | − | 1.53377i | −0.0746957 | − | 0.109836i | ||||
\(196\) | 5.92020 | + | 3.56207i | 0.422872 | + | 0.254433i | ||||
\(197\) | 2.61221 | + | 11.8674i | 0.186112 | + | 0.845517i | 0.973433 | + | 0.228973i | \(0.0735368\pi\) |
−0.787320 | + | 0.616544i | \(0.788532\pi\) | |||||||
\(198\) | −4.93991 | − | 5.78272i | −0.351064 | − | 0.410960i | ||||
\(199\) | 14.7374 | + | 17.3503i | 1.04471 | + | 1.22993i | 0.972589 | + | 0.232531i | \(0.0747007\pi\) |
0.0721203 | + | 0.997396i | \(0.477023\pi\) | |||||||
\(200\) | 1.33513 | − | 3.35092i | 0.0944078 | − | 0.236946i | ||||
\(201\) | −5.86561 | − | 4.96813i | −0.413728 | − | 0.350425i | ||||
\(202\) | −2.78115 | + | 0.937079i | −0.195681 | + | 0.0659327i | ||||
\(203\) | −0.161008 | + | 0.477854i | −0.0113005 | + | 0.0335387i | ||||
\(204\) | 4.39179 | − | 9.52778i | 0.307486 | − | 0.667078i | ||||
\(205\) | −0.194934 | + | 0.117288i | −0.0136148 | + | 0.00819175i | ||||
\(206\) | −1.18643 | − | 1.25250i | −0.0826628 | − | 0.0872661i | ||||
\(207\) | 1.77454 | − | 4.49041i | 0.123339 | − | 0.312105i | ||||
\(208\) | 0.467802 | + | 0.777493i | 0.0324362 | + | 0.0539094i | ||||
\(209\) | −10.5060 | − | 7.98642i | −0.726712 | − | 0.552432i | ||||
\(210\) | −0.0657366 | + | 0.612439i | −0.00453626 | + | 0.0422623i | ||||
\(211\) | 1.21291 | + | 3.59980i | 0.0835004 | + | 0.247820i | 0.981268 | − | 0.192650i | \(-0.0617082\pi\) |
−0.897767 | + | 0.440470i | \(0.854812\pi\) | |||||||
\(212\) | −2.22377 | − | 2.92532i | −0.152729 | − | 0.200912i | ||||
\(213\) | 19.0378 | + | 3.09363i | 1.30445 | + | 0.211972i | ||||
\(214\) | 6.57955 | − | 5.58872i | 0.449769 | − | 0.382037i | ||||
\(215\) | −2.10081 | − | 7.56643i | −0.143274 | − | 0.516027i | ||||
\(216\) | −3.34720 | + | 3.97445i | −0.227748 | + | 0.270427i | ||||
\(217\) | 0.547348 | − | 0.909700i | 0.0371564 | − | 0.0617544i | ||||
\(218\) | −1.39053 | + | 0.554036i | −0.0941783 | + | 0.0375241i | ||||
\(219\) | −21.4854 | − | 5.93289i | −1.45185 | − | 0.400908i | ||||
\(220\) | −0.323492 | − | 2.97446i | −0.0218098 | − | 0.200538i | ||||
\(221\) | −0.297553 | + | 5.48804i | −0.0200156 | + | 0.369166i | ||||
\(222\) | −9.76931 | − | 0.515917i | −0.655673 | − | 0.0346261i | ||||
\(223\) | −14.6756 | + | 6.78966i | −0.982751 | + | 0.454669i | −0.844399 | − | 0.535714i | \(-0.820042\pi\) |
−0.138352 | + | 0.990383i | \(0.544180\pi\) | |||||||
\(224\) | 0.0487485 | − | 0.297353i | 0.00325715 | − | 0.0198677i | ||||
\(225\) | −10.2451 | + | 3.48406i | −0.683008 | + | 0.232270i | ||||
\(226\) | −1.70486 | + | 2.51447i | −0.113405 | + | 0.167260i | ||||
\(227\) | 7.32139 | + | 3.38723i | 0.485938 | + | 0.224819i | 0.647532 | − | 0.762039i | \(-0.275801\pi\) |
−0.161594 | + | 0.986857i | \(0.551663\pi\) | |||||||
\(228\) | −4.21213 | + | 7.97196i | −0.278955 | + | 0.527956i | ||||
\(229\) | 20.1976 | − | 10.7081i | 1.33470 | − | 0.707612i | 0.360384 | − | 0.932804i | \(-0.382646\pi\) |
0.974314 | + | 0.225192i | \(0.0723009\pi\) | |||||||
\(230\) | 1.57218 | − | 1.06596i | 0.103666 | − | 0.0702875i | ||||
\(231\) | −0.491457 | − | 1.22844i | −0.0323355 | − | 0.0808257i | ||||
\(232\) | −1.67100 | + | 0.0905991i | −0.109707 | + | 0.00594812i | ||||
\(233\) | −14.7162 | − | 3.23928i | −0.964091 | − | 0.212212i | −0.295086 | − | 0.955471i | \(-0.595348\pi\) |
−0.669005 | + | 0.743258i | \(0.733279\pi\) | |||||||
\(234\) | 0.861932 | − | 2.58207i | 0.0563463 | − | 0.168795i | ||||
\(235\) | 4.68440i | 0.305576i | ||||||||
\(236\) | −7.31253 | − | 2.35093i | −0.476005 | − | 0.153033i | ||||
\(237\) | −12.4289 | + | 2.75411i | −0.807343 | + | 0.178899i | ||||
\(238\) | 1.25515 | − | 1.32505i | 0.0813594 | − | 0.0858901i | ||||
\(239\) | 0.988310 | − | 4.48994i | 0.0639284 | − | 0.290430i | −0.933800 | − | 0.357796i | \(-0.883528\pi\) |
0.997728 | + | 0.0673659i | \(0.0214595\pi\) | |||||||
\(240\) | −1.96890 | + | 0.549642i | −0.127092 | + | 0.0354792i | ||||
\(241\) | −3.60645 | − | 21.9984i | −0.232312 | − | 1.41704i | −0.803052 | − | 0.595909i | \(-0.796792\pi\) |
0.570741 | − | 0.821130i | \(-0.306656\pi\) | |||||||
\(242\) | −2.56634 | − | 3.78507i | −0.164970 | − | 0.243313i | ||||
\(243\) | 15.5881 | − | 0.109461i | 0.999975 | − | 0.00702194i | ||||
\(244\) | 4.60089 | + | 3.90803i | 0.294542 | + | 0.250186i | ||||
\(245\) | 3.42390 | − | 7.40064i | 0.218745 | − | 0.472810i | ||||
\(246\) | −0.310334 | − | 0.123143i | −0.0197861 | − | 0.00785134i | ||||
\(247\) | 0.510693 | − | 4.69574i | 0.0324946 | − | 0.298783i | ||||
\(248\) | 3.47696 | + | 0.570018i | 0.220787 | + | 0.0361962i | ||||
\(249\) | 18.9897 | − | 14.4777i | 1.20342 | − | 0.917488i | ||||
\(250\) | −9.78791 | − | 2.71760i | −0.619042 | − | 0.171876i | ||||
\(251\) | −3.70918 | − | 0.201106i | −0.234121 | − | 0.0126937i | −0.0632950 | − | 0.997995i | \(-0.520161\pi\) |
−0.170826 | + | 0.985301i | \(0.554644\pi\) | |||||||
\(252\) | −0.773258 | + | 0.468217i | −0.0487107 | + | 0.0294949i | ||||
\(253\) | −1.91118 | + | 3.60488i | −0.120155 | + | 0.226637i | ||||
\(254\) | 6.45153 | + | 16.1921i | 0.404805 | + | 1.01598i | ||||
\(255\) | −11.7392 | − | 3.93706i | −0.735140 | − | 0.246549i | ||||
\(256\) | 0.976621 | − | 0.214970i | 0.0610388 | − | 0.0134357i | ||||
\(257\) | 4.94575 | − | 1.37318i | 0.308508 | − | 0.0856567i | −0.109824 | − | 0.993951i | \(-0.535029\pi\) |
0.418332 | + | 0.908294i | \(0.362615\pi\) | |||||||
\(258\) | 6.96139 | − | 9.18430i | 0.433397 | − | 0.571789i | ||||
\(259\) | −1.58104 | − | 0.629945i | −0.0982412 | − | 0.0391429i | ||||
\(260\) | 0.852532 | − | 0.648078i | 0.0528718 | − | 0.0401921i | ||||
\(261\) | 3.46273 | + | 3.63505i | 0.214338 | + | 0.225004i | ||||
\(262\) | 16.3743 | + | 5.51715i | 1.01161 | + | 0.340851i | ||||
\(263\) | 16.5990 | − | 21.8356i | 1.02354 | − | 1.34644i | 0.0868681 | − | 0.996220i | \(-0.472314\pi\) |
0.936668 | − | 0.350219i | \(-0.113893\pi\) | |||||||
\(264\) | 3.18360 | − | 3.02416i | 0.195937 | − | 0.186124i | ||||
\(265\) | −3.14849 | + | 2.98240i | −0.193410 | + | 0.183208i | ||||
\(266\) | −1.13877 | + | 1.07870i | −0.0698222 | + | 0.0661391i | ||||
\(267\) | −5.55528 | + | 5.27706i | −0.339978 | + | 0.322951i | ||||
\(268\) | 2.68577 | − | 3.53307i | 0.164059 | − | 0.215816i | ||||
\(269\) | −16.7295 | − | 5.63684i | −1.02002 | − | 0.343684i | −0.240893 | − | 0.970552i | \(-0.577440\pi\) |
−0.779126 | + | 0.626867i | \(0.784337\pi\) | |||||||
\(270\) | 5.09029 | + | 3.42009i | 0.309785 | + | 0.208140i | ||||
\(271\) | 1.14211 | − | 0.868210i | 0.0693783 | − | 0.0527400i | −0.569910 | − | 0.821707i | \(-0.693022\pi\) |
0.639289 | + | 0.768967i | \(0.279229\pi\) | |||||||
\(272\) | 5.62693 | + | 2.24197i | 0.341183 | + | 0.135940i | ||||
\(273\) | 0.286060 | − | 0.377404i | 0.0173131 | − | 0.0228415i | ||||
\(274\) | −12.6239 | + | 3.50502i | −0.762641 | + | 0.211746i | ||||
\(275\) | 8.93074 | − | 1.96580i | 0.538544 | − | 0.118542i | ||||
\(276\) | 2.64296 | + | 0.886386i | 0.159088 | + | 0.0533542i | ||||
\(277\) | −2.36688 | − | 5.94042i | −0.142212 | − | 0.356925i | 0.840568 | − | 0.541707i | \(-0.182222\pi\) |
−0.982780 | + | 0.184781i | \(0.940842\pi\) | |||||||
\(278\) | −1.19851 | + | 2.26062i | −0.0718817 | + | 0.135583i | ||||
\(279\) | −5.47488 | − | 9.04174i | −0.327773 | − | 0.541315i | ||||
\(280\) | −0.355101 | − | 0.0192530i | −0.0212214 | − | 0.00115059i | ||||
\(281\) | −13.8248 | − | 3.83842i | −0.824716 | − | 0.228981i | −0.170566 | − | 0.985346i | \(-0.554560\pi\) |
−0.654150 | + | 0.756365i | \(0.726973\pi\) | |||||||
\(282\) | −5.46707 | + | 4.16809i | −0.325560 | + | 0.248206i | ||||
\(283\) | −21.5251 | − | 3.52887i | −1.27954 | − | 0.209769i | −0.516591 | − | 0.856232i | \(-0.672799\pi\) |
−0.762946 | + | 0.646463i | \(0.776248\pi\) | |||||||
\(284\) | −1.20397 | + | 11.0704i | −0.0714427 | + | 0.656905i | ||||
\(285\) | 9.89090 | + | 3.92481i | 0.585886 | + | 0.232486i | ||||
\(286\) | −0.965884 | + | 2.08772i | −0.0571139 | + | 0.123450i | ||||
\(287\) | −0.0442689 | − | 0.0376024i | −0.00261311 | − | 0.00221960i | ||||
\(288\) | −2.39337 | − | 1.80881i | −0.141031 | − | 0.106585i | ||||
\(289\) | 11.0491 | + | 16.2962i | 0.649946 | + | 0.958599i | ||||
\(290\) | 0.319524 | + | 1.94901i | 0.0187631 | + | 0.114450i | ||||
\(291\) | 10.1002 | − | 2.81958i | 0.592082 | − | 0.165287i | ||||
\(292\) | 2.76642 | − | 12.5680i | 0.161892 | − | 0.735484i | ||||
\(293\) | 7.87355 | − | 8.31200i | 0.459978 | − | 0.485592i | −0.454204 | − | 0.890898i | \(-0.650076\pi\) |
0.914181 | + | 0.405305i | \(0.132835\pi\) | |||||||
\(294\) | 11.6837 | − | 2.58898i | 0.681406 | − | 0.150993i | ||||
\(295\) | −1.82522 | + | 8.87970i | −0.106269 | + | 0.516996i | ||||
\(296\) | − | 5.64817i | − | 0.328293i | ||||||
\(297\) | −13.1016 | − | 1.36906i | −0.760235 | − | 0.0794411i | ||||
\(298\) | −18.4628 | − | 4.06397i | −1.06952 | − | 0.235419i | ||||
\(299\) | −1.45823 | + | 0.0790630i | −0.0843317 | + | 0.00457233i | ||||
\(300\) | −2.32066 | − | 5.80071i | −0.133983 | − | 0.334904i | ||||
\(301\) | 1.65942 | − | 1.12512i | 0.0956474 | − | 0.0648506i | ||||
\(302\) | 5.27684 | − | 2.79760i | 0.303648 | − | 0.160984i | ||||
\(303\) | −2.37470 | + | 4.49439i | −0.136423 | + | 0.258196i | ||||
\(304\) | −4.72446 | − | 2.18577i | −0.270966 | − | 0.125362i | ||||
\(305\) | 3.99816 | − | 5.89685i | 0.228934 | − | 0.337653i | ||||
\(306\) | −5.85049 | − | 17.2038i | −0.334450 | − | 0.983476i | ||||
\(307\) | −0.437471 | + | 2.66846i | −0.0249678 | + | 0.152297i | −0.996368 | − | 0.0851512i | \(-0.972863\pi\) |
0.971400 | + | 0.237448i | \(0.0763109\pi\) | |||||||
\(308\) | 0.693292 | − | 0.320751i | 0.0395040 | − | 0.0182765i | ||||
\(309\) | −2.98401 | − | 0.157586i | −0.169755 | − | 0.00896474i | ||||
\(310\) | 0.225127 | − | 4.15221i | 0.0127863 | − | 0.235830i | ||||
\(311\) | 3.44581 | + | 31.6837i | 0.195394 | + | 1.79662i | 0.523552 | + | 0.851994i | \(0.324606\pi\) |
−0.328159 | + | 0.944623i | \(0.606428\pi\) | |||||||
\(312\) | 1.51493 | + | 0.418327i | 0.0857659 | + | 0.0236831i | ||||
\(313\) | −4.31269 | + | 1.71833i | −0.243767 | + | 0.0971258i | −0.488822 | − | 0.872383i | \(-0.662573\pi\) |
0.245055 | + | 0.969509i | \(0.421194\pi\) | |||||||
\(314\) | −5.62106 | + | 9.34227i | −0.317215 | + | 0.527215i | ||||
\(315\) | 0.648024 | + | 0.847510i | 0.0365120 | + | 0.0477518i | ||||
\(316\) | −1.96630 | − | 7.08198i | −0.110613 | − | 0.398393i | ||||
\(317\) | 18.1940 | − | 15.4541i | 1.02187 | − | 0.867988i | 0.0305643 | − | 0.999533i | \(-0.490270\pi\) |
0.991310 | + | 0.131545i | \(0.0419937\pi\) | |||||||
\(318\) | −6.28218 | − | 1.02085i | −0.352287 | − | 0.0572466i | ||||
\(319\) | −2.56742 | − | 3.37739i | −0.143748 | − | 0.189097i | ||||
\(320\) | −0.376842 | − | 1.11843i | −0.0210661 | − | 0.0625220i | ||||
\(321\) | 1.59576 | − | 14.8670i | 0.0890664 | − | 0.829793i | ||||
\(322\) | 0.386074 | + | 0.293486i | 0.0215151 | + | 0.0163553i | ||||
\(323\) | −16.2559 | − | 27.0175i | −0.904500 | − | 1.50329i | ||||
\(324\) | 0.537726 | + | 8.98392i | 0.0298737 | + | 0.499107i | ||||
\(325\) | 2.25085 | + | 2.37619i | 0.124855 | + | 0.131807i | ||||
\(326\) | −5.43921 | + | 3.27266i | −0.301250 | + | 0.181256i | ||||
\(327\) | −1.08530 | + | 2.35450i | −0.0600171 | + | 0.130204i | ||||
\(328\) | 0.0615491 | − | 0.182671i | 0.00339848 | − | 0.0100863i | ||||
\(329\) | −1.13338 | + | 0.381880i | −0.0624852 | + | 0.0210537i | ||||
\(330\) | −3.95445 | − | 3.34939i | −0.217685 | − | 0.184378i | ||||
\(331\) | 7.21044 | − | 18.0968i | 0.396321 | − | 0.994692i | −0.586470 | − | 0.809971i | \(-0.699483\pi\) |
0.982791 | − | 0.184721i | \(-0.0591380\pi\) | |||||||
\(332\) | 8.92527 | + | 10.5076i | 0.489838 | + | 0.576681i | ||||
\(333\) | −12.8836 | + | 11.0059i | −0.706017 | + | 0.603118i | ||||
\(334\) | 5.54000 | + | 25.1685i | 0.303135 | + | 1.37716i | ||||
\(335\) | −4.48802 | − | 2.70035i | −0.245207 | − | 0.147536i | ||||
\(336\) | −0.293493 | − | 0.431563i | −0.0160113 | − | 0.0235437i | ||||
\(337\) | 7.80306 | + | 4.13692i | 0.425060 | + | 0.225353i | 0.667184 | − | 0.744893i | \(-0.267499\pi\) |
−0.242124 | + | 0.970245i | \(0.577844\pi\) | |||||||
\(338\) | 12.1053 | − | 1.31653i | 0.658441 | − | 0.0716097i | ||||
\(339\) | 0.858568 | + | 5.19136i | 0.0466310 | + | 0.281956i | ||||
\(340\) | 1.91247 | − | 6.88810i | 0.103718 | − | 0.373560i | ||||
\(341\) | 3.75056 | + | 8.10669i | 0.203104 | + | 0.439002i | ||||
\(342\) | 4.22017 | + | 15.0357i | 0.228201 | + | 0.813039i | ||||
\(343\) | 4.16658 | + | 0.453143i | 0.224974 | + | 0.0244674i | ||||
\(344\) | 5.50713 | + | 3.73393i | 0.296925 | + | 0.201320i | ||||
\(345\) | 0.702738 | − | 3.21406i | 0.0378341 | − | 0.173039i | ||||
\(346\) | −3.74063 | + | 4.40381i | −0.201098 | + | 0.236750i | ||||
\(347\) | −16.4385 | − | 31.0062i | −0.882462 | − | 1.66450i | −0.737800 | − | 0.675019i | \(-0.764135\pi\) |
−0.144662 | − | 0.989481i | \(-0.546210\pi\) | |||||||
\(348\) | −1.99035 | + | 2.10710i | −0.106694 | + | 0.112953i | ||||
\(349\) | −21.7912 | + | 3.57249i | −1.16646 | + | 0.191231i | −0.713732 | − | 0.700419i | \(-0.752997\pi\) |
−0.452726 | + | 0.891650i | \(0.649548\pi\) | |||||||
\(350\) | −0.0588437 | − | 1.08531i | −0.00314533 | − | 0.0580121i | ||||
\(351\) | −1.99773 | − | 4.27072i | −0.106631 | − | 0.227954i | ||||
\(352\) | 1.84050 | + | 1.74342i | 0.0980991 | + | 0.0929244i | ||||
\(353\) | −20.1109 | −1.07040 | −0.535199 | − | 0.844726i | \(-0.679763\pi\) | ||||
−0.535199 | + | 0.844726i | \(0.679763\pi\) | |||||||
\(354\) | −11.9874 | + | 5.77081i | −0.637123 | + | 0.306715i | ||||
\(355\) | 13.1424 | 0.697524 | ||||||||
\(356\) | −3.21162 | − | 3.04221i | −0.170215 | − | 0.161237i | ||||
\(357\) | −0.00443965 | − | 3.16124i | −0.000234971 | − | 0.167311i | ||||
\(358\) | 0.337598 | + | 6.22663i | 0.0178426 | + | 0.329088i | ||||
\(359\) | −10.2956 | + | 1.68788i | −0.543382 | + | 0.0890830i | −0.427221 | − | 0.904147i | \(-0.640507\pi\) |
−0.116162 | + | 0.993230i | \(0.537059\pi\) | |||||||
\(360\) | −1.81685 | + | 3.03892i | −0.0957566 | + | 0.160165i | ||||
\(361\) | 3.79321 | + | 7.15476i | 0.199643 | + | 0.376566i | ||||
\(362\) | −15.4564 | + | 18.1967i | −0.812370 | + | 0.956396i | ||||
\(363\) | −7.73796 | − | 1.69186i | −0.406138 | − | 0.0887998i | ||||
\(364\) | 0.226301 | + | 0.153436i | 0.0118614 | + | 0.00804222i | ||||
\(365\) | −15.0989 | − | 1.64210i | −0.790311 | − | 0.0859515i | ||||
\(366\) | 10.4396 | − | 0.580724i | 0.545687 | − | 0.0303549i | ||||
\(367\) | −12.5867 | − | 27.2057i | −0.657019 | − | 1.42012i | −0.893757 | − | 0.448551i | \(-0.851940\pi\) |
0.236738 | − | 0.971573i | \(-0.423922\pi\) | |||||||
\(368\) | −0.430572 | + | 1.55078i | −0.0224451 | + | 0.0808399i | ||||
\(369\) | −0.536610 | + | 0.215554i | −0.0279348 | + | 0.0112213i | ||||
\(370\) | −6.62694 | + | 0.720723i | −0.344518 | + | 0.0374686i | ||||
\(371\) | −0.978256 | − | 0.518639i | −0.0507885 | − | 0.0269264i | ||||
\(372\) | 5.04629 | − | 3.43182i | 0.261638 | − | 0.177932i | ||||
\(373\) | −29.6436 | − | 17.8359i | −1.53489 | − | 0.923510i | −0.996742 | − | 0.0806576i | \(-0.974298\pi\) |
−0.538144 | − | 0.842853i | \(-0.680874\pi\) | |||||||
\(374\) | 3.30102 | + | 14.9967i | 0.170692 | + | 0.775459i | ||||
\(375\) | −15.5333 | + | 8.26323i | −0.802139 | + | 0.426711i | ||||
\(376\) | −2.56956 | − | 3.02512i | −0.132515 | − | 0.156009i | ||||
\(377\) | 0.562039 | − | 1.41061i | 0.0289465 | − | 0.0726502i | ||||
\(378\) | −0.412513 | + | 1.51040i | −0.0212174 | + | 0.0776864i | ||||
\(379\) | 16.7652 | − | 5.64886i | 0.861172 | − | 0.290162i | 0.146148 | − | 0.989263i | \(-0.453312\pi\) |
0.715024 | + | 0.699100i | \(0.246416\pi\) | |||||||
\(380\) | −1.96168 | + | 5.82207i | −0.100632 | + | 0.298666i | ||||
\(381\) | 27.4172 | + | 12.6379i | 1.40463 | + | 0.647457i | ||||
\(382\) | −9.51878 | + | 5.72726i | −0.487023 | + | 0.293032i | ||||
\(383\) | 10.3999 | + | 10.9790i | 0.531410 | + | 0.561002i | 0.935323 | − | 0.353795i | \(-0.115109\pi\) |
−0.403913 | + | 0.914797i | \(0.632350\pi\) | |||||||
\(384\) | 0.969990 | − | 1.43496i | 0.0494996 | − | 0.0732277i | ||||
\(385\) | −0.464800 | − | 0.772503i | −0.0236884 | − | 0.0393704i | ||||
\(386\) | 7.58380 | + | 5.76506i | 0.386005 | + | 0.293434i | ||||
\(387\) | −2.21388 | − | 19.8377i | −0.112538 | − | 1.00841i | ||||
\(388\) | 1.93314 | + | 5.73737i | 0.0981405 | + | 0.291271i | ||||
\(389\) | −19.0941 | − | 25.1178i | −0.968109 | − | 1.27352i | −0.961859 | − | 0.273544i | \(-0.911804\pi\) |
−0.00624915 | − | 0.999980i | \(-0.501989\pi\) | |||||||
\(390\) | 0.297509 | − | 1.83083i | 0.0150650 | − | 0.0927076i | ||||
\(391\) | −7.43001 | + | 6.31111i | −0.375752 | + | 0.319167i | ||||
\(392\) | 1.84841 | + | 6.65736i | 0.0933587 | + | 0.336248i | ||||
\(393\) | 27.1440 | − | 12.6045i | 1.36924 | − | 0.635812i | ||||
\(394\) | −6.26475 | + | 10.4121i | −0.315614 | + | 0.524554i | ||||
\(395\) | −8.05831 | + | 3.21073i | −0.405458 | + | 0.161549i | ||||
\(396\) | 0.390417 | − | 7.59540i | 0.0196192 | − | 0.381683i | ||||
\(397\) | −1.53007 | − | 14.0688i | −0.0767922 | − | 0.706092i | −0.967734 | − | 0.251975i | \(-0.918920\pi\) |
0.890942 | − | 0.454118i | \(-0.150045\pi\) | |||||||
\(398\) | −1.23245 | + | 22.7311i | −0.0617769 | + | 1.13941i | ||||
\(399\) | −0.143276 | + | 2.71304i | −0.00717275 | + | 0.135822i | ||||
\(400\) | 3.27372 | − | 1.51459i | 0.163686 | − | 0.0757293i | ||||
\(401\) | −0.0753618 | + | 0.459687i | −0.00376339 | + | 0.0229557i | −0.988641 | − | 0.150293i | \(-0.951978\pi\) |
0.984878 | + | 0.173249i | \(0.0554265\pi\) | |||||||
\(402\) | −0.841826 | − | 7.64062i | −0.0419865 | − | 0.381079i | ||||
\(403\) | −1.79413 | + | 2.64615i | −0.0893721 | + | 0.131814i | ||||
\(404\) | −2.66353 | − | 1.23228i | −0.132516 | − | 0.0613083i | ||||
\(405\) | 10.4721 | − | 1.77728i | 0.520364 | − | 0.0883139i | ||||
\(406\) | −0.445510 | + | 0.236195i | −0.0221103 | + | 0.0117221i | ||||
\(407\) | 11.8516 | − | 8.03559i | 0.587463 | − | 0.398310i | ||||
\(408\) | 9.74066 | − | 3.89690i | 0.482235 | − | 0.192925i | ||||
\(409\) | 1.03653 | − | 0.0561991i | 0.0512532 | − | 0.00277887i | −0.0284945 | − | 0.999594i | \(-0.509071\pi\) |
0.0797477 | + | 0.996815i | \(0.474589\pi\) | |||||||
\(410\) | −0.222180 | − | 0.0489056i | −0.0109727 | − | 0.00241527i | ||||
\(411\) | −11.6719 | + | 19.4606i | −0.575731 | + | 0.959921i | ||||
\(412\) | − | 1.72522i | − | 0.0849956i | ||||||
\(413\) | −2.29722 | + | 0.282280i | −0.113039 | + | 0.0138901i | ||||
\(414\) | 4.37636 | − | 2.03966i | 0.215086 | − | 0.100244i | ||||
\(415\) | 11.1896 | − | 11.8127i | 0.549276 | − | 0.579864i | ||||
\(416\) | −0.195059 | + | 0.886164i | −0.00956357 | + | 0.0434477i | ||||
\(417\) | 1.19162 | + | 4.26856i | 0.0583538 | + | 0.209032i | ||||
\(418\) | −2.13502 | − | 13.0230i | −0.104427 | − | 0.636978i | ||||
\(419\) | −14.0112 | − | 20.6649i | −0.684490 | − | 1.00955i | −0.998197 | − | 0.0600278i | \(-0.980881\pi\) |
0.313706 | − | 0.949520i | \(-0.398429\pi\) | |||||||
\(420\) | −0.468898 | + | 0.399421i | −0.0228799 | + | 0.0194897i | ||||
\(421\) | 16.8868 | + | 14.3438i | 0.823013 | + | 0.699074i | 0.956422 | − | 0.291987i | \(-0.0943165\pi\) |
−0.133409 | + | 0.991061i | \(0.542592\pi\) | |||||||
\(422\) | −1.59501 | + | 3.44756i | −0.0776439 | + | 0.167824i | ||||
\(423\) | −1.89339 | + | 11.7559i | −0.0920596 | + | 0.571590i | ||||
\(424\) | 0.397293 | − | 3.65305i | 0.0192943 | − | 0.177408i | ||||
\(425\) | 21.5609 | + | 3.53473i | 1.04586 | + | 0.171460i | ||||
\(426\) | 11.6938 | + | 15.3382i | 0.566568 | + | 0.743139i | ||||
\(427\) | 1.75267 | + | 0.486626i | 0.0848175 | + | 0.0235495i | ||||
\(428\) | 8.62009 | + | 0.467368i | 0.416668 | + | 0.0225911i | ||||
\(429\) | 1.27749 | + | 3.77394i | 0.0616779 | + | 0.182207i | ||||
\(430\) | 3.67825 | − | 6.93792i | 0.177381 | − | 0.334576i | ||||
\(431\) | 9.34576 | + | 23.4561i | 0.450169 | + | 1.12984i | 0.962555 | + | 0.271085i | \(0.0873824\pi\) |
−0.512386 | + | 0.858755i | \(0.671238\pi\) | |||||||
\(432\) | −5.16328 | + | 0.583562i | −0.248418 | + | 0.0280766i | ||||
\(433\) | −26.5714 | + | 5.84881i | −1.27694 | + | 0.281076i | −0.801140 | − | 0.598477i | \(-0.795773\pi\) |
−0.475801 | + | 0.879553i | \(0.657842\pi\) | |||||||
\(434\) | 1.02297 | − | 0.284027i | 0.0491042 | − | 0.0136337i | ||||
\(435\) | 2.72622 | + | 2.06638i | 0.130712 | + | 0.0990754i | ||||
\(436\) | −1.39053 | − | 0.554036i | −0.0665941 | − | 0.0265335i | ||||
\(437\) | 6.66974 | − | 5.07020i | 0.319057 | − | 0.242541i | ||||
\(438\) | −11.5182 | − | 19.0827i | −0.550362 | − | 0.911808i | ||||
\(439\) | −14.4181 | − | 4.85803i | −0.688139 | − | 0.231861i | −0.0465574 | − | 0.998916i | \(-0.514825\pi\) |
−0.641582 | + | 0.767054i | \(0.721722\pi\) | |||||||
\(440\) | 1.81068 | − | 2.38191i | 0.0863207 | − | 0.113553i | ||||
\(441\) | 11.5838 | − | 17.1886i | 0.551611 | − | 0.818506i | ||||
\(442\) | −3.99014 | + | 3.77967i | −0.189792 | + | 0.179780i | ||||
\(443\) | 26.6636 | − | 25.2571i | 1.26683 | − | 1.20000i | 0.297363 | − | 0.954765i | \(-0.403893\pi\) |
0.969463 | − | 0.245237i | \(-0.0788657\pi\) | |||||||
\(444\) | −6.73768 | − | 7.09290i | −0.319756 | − | 0.336614i | ||||
\(445\) | −3.15958 | + | 4.15635i | −0.149778 | + | 0.197030i | ||||
\(446\) | −15.3237 | − | 5.16314i | −0.725597 | − | 0.244482i | ||||
\(447\) | −28.0332 | + | 16.9207i | −1.32593 | + | 0.800321i | ||||
\(448\) | 0.239880 | − | 0.182352i | 0.0113333 | − | 0.00861534i | ||||
\(449\) | 9.49985 | + | 3.78509i | 0.448326 | + | 0.178629i | 0.583364 | − | 0.812211i | \(-0.301736\pi\) |
−0.135038 | + | 0.990840i | \(0.543116\pi\) | |||||||
\(450\) | −9.83389 | − | 4.51615i | −0.463574 | − | 0.212894i | ||||
\(451\) | 0.470866 | − | 0.130735i | 0.0221722 | − | 0.00615609i | ||||
\(452\) | −2.96692 | + | 0.653068i | −0.139552 | + | 0.0307177i | ||||
\(453\) | 3.28934 | − | 9.80791i | 0.154547 | − | 0.460816i | ||||
\(454\) | 2.98590 | + | 7.49403i | 0.140135 | + | 0.351712i | ||||
\(455\) | 0.151148 | − | 0.285095i | 0.00708593 | − | 0.0133655i | ||||
\(456\) | −8.54031 | + | 2.89093i | −0.399936 | + | 0.135380i | ||||
\(457\) | 7.22184 | + | 0.391557i | 0.337824 | + | 0.0183163i | 0.222271 | − | 0.974985i | \(-0.428653\pi\) |
0.115553 | + | 0.993301i | \(0.463136\pi\) | |||||||
\(458\) | 22.0274 | + | 6.11587i | 1.02927 | + | 0.285776i | ||||
\(459\) | −27.8693 | − | 14.6253i | −1.30083 | − | 0.682650i | ||||
\(460\) | 1.87445 | + | 0.307301i | 0.0873969 | + | 0.0143280i | ||||
\(461\) | 4.59337 | − | 42.2353i | 0.213935 | − | 1.96710i | −0.0377515 | − | 0.999287i | \(-0.512020\pi\) |
0.251686 | − | 0.967809i | \(-0.419015\pi\) | |||||||
\(462\) | 0.488005 | − | 1.22982i | 0.0227040 | − | 0.0572164i | ||||
\(463\) | 4.18290 | − | 9.04118i | 0.194396 | − | 0.420179i | −0.785727 | − | 0.618574i | \(-0.787711\pi\) |
0.980122 | + | 0.198395i | \(0.0635727\pi\) | |||||||
\(464\) | −1.27545 | − | 1.08337i | −0.0592111 | − | 0.0502943i | ||||
\(465\) | −4.67045 | − | 5.48285i | −0.216587 | − | 0.254261i | ||||
\(466\) | −8.45625 | − | 12.4720i | −0.391728 | − | 0.577756i | ||||
\(467\) | 2.40707 | + | 14.6825i | 0.111386 | + | 0.679423i | 0.982204 | + | 0.187818i | \(0.0601415\pi\) |
−0.870818 | + | 0.491605i | \(0.836410\pi\) | |||||||
\(468\) | 2.40145 | − | 1.28182i | 0.111007 | − | 0.0592522i | ||||
\(469\) | 0.287473 | − | 1.30600i | 0.0132743 | − | 0.0603057i | ||||
\(470\) | −3.22146 | + | 3.40085i | −0.148595 | + | 0.156869i | ||||
\(471\) | 4.08550 | + | 18.4372i | 0.188250 | + | 0.849543i | ||||
\(472\) | −3.69213 | − | 6.73559i | −0.169944 | − | 0.310031i | ||||
\(473\) | 16.8679i | 0.775586i | ||||||||
\(474\) | −10.9173 | − | 6.54787i | −0.501449 | − | 0.300754i | ||||
\(475\) | −18.3381 | − | 4.03652i | −0.841410 | − | 0.185208i | ||||
\(476\) | 1.82247 | − | 0.0988114i | 0.0835327 | − | 0.00452901i | ||||
\(477\) | −9.10685 | + | 6.21200i | −0.416974 | + | 0.284428i | ||||
\(478\) | 3.80523 | − | 2.58001i | 0.174047 | − | 0.118007i | ||||
\(479\) | −13.9891 | + | 7.41655i | −0.639178 | + | 0.338871i | −0.756279 | − | 0.654249i | \(-0.772985\pi\) |
0.117101 | + | 0.993120i | \(0.462640\pi\) | |||||||
\(480\) | −1.80740 | − | 0.954974i | −0.0824962 | − | 0.0435884i | ||||
\(481\) | 4.65135 | + | 2.15194i | 0.212083 | + | 0.0981201i | ||||
\(482\) | 12.5100 | − | 18.4509i | 0.569815 | − | 0.840414i | ||||
\(483\) | 0.834924 | − | 0.0919901i | 0.0379904 | − | 0.00418569i | ||||
\(484\) | 0.739838 | − | 4.51281i | 0.0336290 | − | 0.205128i | ||||
\(485\) | 6.48492 | − | 3.00024i | 0.294465 | − | 0.136234i | ||||
\(486\) | 11.3921 | + | 10.6404i | 0.516758 | + | 0.482660i | ||||
\(487\) | −1.31870 | + | 24.3220i | −0.0597560 | + | 1.10213i | 0.802825 | + | 0.596215i | \(0.203329\pi\) |
−0.862581 | + | 0.505919i | \(0.831153\pi\) | |||||||
\(488\) | 0.652674 | + | 6.00124i | 0.0295452 | + | 0.271663i | ||||
\(489\) | −2.92654 | + | 10.5982i | −0.132343 | + | 0.479266i | ||||
\(490\) | 7.57516 | − | 3.01822i | 0.342211 | − | 0.136349i | ||||
\(491\) | −5.75797 | + | 9.56983i | −0.259854 | + | 0.431880i | −0.959128 | − | 0.282973i | \(-0.908679\pi\) |
0.699274 | + | 0.714854i | \(0.253507\pi\) | |||||||
\(492\) | −0.140615 | − | 0.302818i | −0.00633942 | − | 0.0136521i | ||||
\(493\) | −2.71176 | − | 9.76687i | −0.122131 | − | 0.439878i | ||||
\(494\) | 3.60002 | − | 3.05788i | 0.161972 | − | 0.137581i | ||||
\(495\) | −8.96142 | + | 0.511123i | −0.402786 | + | 0.0229733i | ||||
\(496\) | 2.13225 | + | 2.80493i | 0.0957410 | + | 0.125945i | ||||
\(497\) | 1.07139 | + | 3.17977i | 0.0480583 | + | 0.142632i | ||||
\(498\) | 23.7427 | + | 2.54845i | 1.06394 | + | 0.114199i | ||||
\(499\) | 11.0999 | + | 8.43789i | 0.496898 | + | 0.377732i | 0.823397 | − | 0.567466i | \(-0.192076\pi\) |
−0.326499 | + | 0.945197i | \(0.605869\pi\) | |||||||
\(500\) | −5.23709 | − | 8.70411i | −0.234210 | − | 0.389260i | ||||
\(501\) | 36.9804 | + | 24.9976i | 1.65216 | + | 1.11681i | ||||
\(502\) | −2.55455 | − | 2.69680i | −0.114015 | − | 0.120364i | ||||
\(503\) | 20.8110 | − | 12.5215i | 0.927915 | − | 0.558308i | 0.0305190 | − | 0.999534i | \(-0.490284\pi\) |
0.897396 | + | 0.441226i | \(0.145456\pi\) | |||||||
\(504\) | −0.883374 | − | 0.191846i | −0.0393486 | − | 0.00854548i | ||||
\(505\) | −1.10595 | + | 3.28234i | −0.0492141 | + | 0.146062i | ||||
\(506\) | −3.86658 | + | 1.30280i | −0.171891 | + | 0.0579167i | ||||
\(507\) | 13.6312 | − | 16.0936i | 0.605382 | − | 0.714743i | ||||
\(508\) | −6.45153 | + | 16.1921i | −0.286240 | + | 0.718409i | ||||
\(509\) | 17.1408 | + | 20.1797i | 0.759750 | + | 0.894447i | 0.997032 | − | 0.0769936i | \(-0.0245321\pi\) |
−0.237281 | + | 0.971441i | \(0.576256\pi\) | |||||||
\(510\) | −5.81513 | − | 10.9314i | −0.257498 | − | 0.484049i | ||||
\(511\) | −0.833583 | − | 3.78700i | −0.0368755 | − | 0.167527i | ||||
\(512\) | 0.856857 | + | 0.515554i | 0.0378681 | + | 0.0227845i | ||||
\(513\) | 23.2357 | + | 13.8474i | 1.02588 | + | 0.611380i | ||||
\(514\) | 4.53493 | + | 2.40427i | 0.200027 | + | 0.106048i | ||||
\(515\) | −2.02419 | + | 0.220143i | −0.0891963 | + | 0.00970068i | ||||
\(516\) | 11.3700 | − | 1.88041i | 0.500535 | − | 0.0827806i | ||||
\(517\) | 2.69195 | − | 9.69553i | 0.118392 | − | 0.426409i | ||||
\(518\) | −0.714617 | − | 1.54462i | −0.0313985 | − | 0.0678667i | ||||
\(519\) | 0.555849 | + | 9.99243i | 0.0243991 | + | 0.438619i | ||||
\(520\) | 1.06462 | + | 0.115784i | 0.0466865 | + | 0.00507747i | ||||
\(521\) | 24.3696 | + | 16.5230i | 1.06765 | + | 0.723884i | 0.962694 | − | 0.270593i | \(-0.0872196\pi\) |
0.104956 | + | 0.994477i | \(0.466530\pi\) | |||||||
\(522\) | 0.0141012 | + | 5.02035i | 0.000617192 | + | 0.219735i | ||||
\(523\) | −5.88256 | + | 6.92549i | −0.257227 | + | 0.302831i | −0.875583 | − | 0.483067i | \(-0.839523\pi\) |
0.618357 | + | 0.785897i | \(0.287799\pi\) | |||||||
\(524\) | 8.09354 | + | 15.2660i | 0.353568 | + | 0.666900i | ||||
\(525\) | −1.36855 | − | 1.29272i | −0.0597286 | − | 0.0564190i | ||||
\(526\) | 27.0671 | − | 4.43742i | 1.18018 | − | 0.193481i | ||||
\(527\) | 1.15541 | + | 21.3102i | 0.0503303 | + | 0.928288i | ||||
\(528\) | 4.39099 | − | 0.00616671i | 0.191093 | − | 0.000268372i | ||||
\(529\) | 14.8173 | + | 14.0357i | 0.644232 | + | 0.610249i | ||||
\(530\) | −4.33678 | −0.188378 | ||||||||
\(531\) | −8.16964 | + | 21.5466i | −0.354532 | + | 0.935044i | ||||
\(532\) | −1.56856 | −0.0680056 | ||||||||
\(533\) | 0.126982 | + | 0.120284i | 0.00550021 | + | 0.00521008i | ||||
\(534\) | −7.66214 | + | 0.0107607i | −0.331573 | + | 0.000465662i | ||||
\(535\) | −0.551591 | − | 10.1735i | −0.0238474 | − | 0.439839i | ||||
\(536\) | 4.37954 | − | 0.717989i | 0.189167 | − | 0.0310124i | ||||
\(537\) | 7.85167 | + | 7.41660i | 0.338825 | + | 0.320050i | ||||
\(538\) | −8.26912 | − | 15.5972i | −0.356507 | − | 0.672444i | ||||
\(539\) | −11.3395 | + | 13.3499i | −0.488427 | + | 0.575021i | ||||
\(540\) | 1.34354 | + | 5.98356i | 0.0578166 | + | 0.257491i | ||||
\(541\) | 33.1351 | + | 22.4662i | 1.42459 | + | 0.965896i | 0.998113 | + | 0.0613968i | \(0.0195555\pi\) |
0.426476 | + | 0.904499i | \(0.359755\pi\) | |||||||
\(542\) | 1.42623 | + | 0.155112i | 0.0612620 | + | 0.00666264i | ||||
\(543\) | 2.29679 | + | 41.2890i | 0.0985645 | + | 1.77188i | ||||
\(544\) | 2.54332 | + | 5.49730i | 0.109044 | + | 0.235695i | ||||
\(545\) | −0.472610 | + | 1.70219i | −0.0202444 | + | 0.0729137i | ||||
\(546\) | 0.467219 | − | 0.0772705i | 0.0199951 | − | 0.00330687i | ||||
\(547\) | −33.0009 | + | 3.58906i | −1.41102 | + | 0.153457i | −0.781682 | − | 0.623678i | \(-0.785638\pi\) |
−0.629334 | + | 0.777135i | \(0.716672\pi\) | |||||||
\(548\) | −11.5753 | − | 6.13685i | −0.494474 | − | 0.262153i | ||||
\(549\) | 12.4172 | − | 13.1826i | 0.529952 | − | 0.562620i | ||||
\(550\) | 7.83556 | + | 4.71450i | 0.334109 | + | 0.201027i | ||||
\(551\) | 1.87268 | + | 8.50765i | 0.0797787 | + | 0.362438i | ||||
\(552\) | 1.30921 | + | 2.46107i | 0.0557237 | + | 0.104750i | ||||
\(553\) | −1.43376 | − | 1.68795i | −0.0609695 | − | 0.0717788i | ||||
\(554\) | 2.36688 | − | 5.94042i | 0.100559 | − | 0.252384i | ||||
\(555\) | −7.46228 | + | 8.81032i | −0.316756 | + | 0.373977i | ||||
\(556\) | −2.42474 | + | 0.816990i | −0.102832 | + | 0.0346481i | ||||
\(557\) | 12.9359 | − | 38.3923i | 0.548111 | − | 1.62674i | −0.212236 | − | 0.977219i | \(-0.568074\pi\) |
0.760347 | − | 0.649517i | \(-0.225029\pi\) | |||||||
\(558\) | 2.24326 | − | 10.3293i | 0.0949647 | − | 0.437276i | ||||
\(559\) | −5.17315 | + | 3.11258i | −0.218801 | + | 0.131648i | ||||
\(560\) | −0.244562 | − | 0.258181i | −0.0103346 | − | 0.0109101i | ||||
\(561\) | 22.0348 | + | 14.8949i | 0.930311 | + | 0.628861i | ||||
\(562\) | −7.39703 | − | 12.2940i | −0.312025 | − | 0.518589i | ||||
\(563\) | −31.3698 | − | 23.8467i | −1.32208 | − | 1.00502i | −0.998264 | − | 0.0589006i | \(-0.981240\pi\) |
−0.323818 | − | 0.946120i | \(-0.604966\pi\) | |||||||
\(564\) | −6.83547 | − | 0.733690i | −0.287825 | − | 0.0308939i | ||||
\(565\) | 1.14483 | + | 3.39772i | 0.0481632 | + | 0.142943i | ||||
\(566\) | −13.2004 | − | 17.3648i | −0.554852 | − | 0.729896i | ||||
\(567\) | 1.28372 | + | 2.38882i | 0.0539110 | + | 0.100321i | ||||
\(568\) | −8.48716 | + | 7.20906i | −0.356113 | + | 0.302485i | ||||
\(569\) | 1.01070 | + | 3.64023i | 0.0423709 | + | 0.152606i | 0.981709 | − | 0.190385i | \(-0.0609736\pi\) |
−0.939339 | + | 0.342991i | \(0.888560\pi\) | |||||||
\(570\) | 4.48166 | + | 9.65136i | 0.187716 | + | 0.404251i | ||||
\(571\) | 22.7019 | − | 37.7309i | 0.950045 | − | 1.57899i | 0.142000 | − | 0.989867i | \(-0.454647\pi\) |
0.808045 | − | 0.589121i | \(-0.200526\pi\) | |||||||
\(572\) | −2.13695 | + | 0.851440i | −0.0893505 | + | 0.0356005i | ||||
\(573\) | −5.12154 | + | 18.5471i | −0.213955 | + | 0.774817i | ||||
\(574\) | −0.00627992 | − | 0.0577429i | −0.000262119 | − | 0.00241014i | ||||
\(575\) | −0.314300 | + | 5.79692i | −0.0131072 | + | 0.241748i | ||||
\(576\) | −0.493659 | − | 2.95910i | −0.0205691 | − | 0.123296i | ||||
\(577\) | 13.7599 | − | 6.36603i | 0.572834 | − | 0.265021i | −0.112015 | − | 0.993707i | \(-0.535730\pi\) |
0.684849 | + | 0.728685i | \(0.259868\pi\) | |||||||
\(578\) | −3.18529 | + | 19.4294i | −0.132491 | + | 0.808157i | ||||
\(579\) | 16.4007 | − | 1.80700i | 0.681592 | − | 0.0750963i | ||||
\(580\) | −1.10836 | + | 1.63471i | −0.0460221 | + | 0.0678776i | ||||
\(581\) | 3.77026 | + | 1.74431i | 0.156417 | + | 0.0723661i | ||||
\(582\) | 9.27169 | + | 4.89887i | 0.384324 | + | 0.203065i | ||||
\(583\) | 8.23046 | − | 4.36351i | 0.340871 | − | 0.180718i | ||||
\(584\) | 10.6514 | − | 7.22182i | 0.440757 | − | 0.298841i | ||||
\(585\) | −1.81038 | − | 2.65403i | −0.0748499 | − | 0.109731i | ||||
\(586\) | 11.4323 | − | 0.619842i | 0.472265 | − | 0.0256055i | ||||
\(587\) | −18.3192 | − | 4.03237i | −0.756116 | − | 0.166434i | −0.179848 | − | 0.983694i | \(-0.557561\pi\) |
−0.576268 | + | 0.817261i | \(0.695492\pi\) | |||||||
\(588\) | 10.2627 | + | 6.15527i | 0.423228 | + | 0.253839i | ||||
\(589\) | − | 18.3412i | − | 0.755736i | ||||||
\(590\) | −7.43167 | + | 5.19142i | −0.305957 | + | 0.213727i | ||||
\(591\) | 4.55335 | + | 20.5486i | 0.187300 | + | 0.845255i | ||||
\(592\) | 3.88424 | − | 4.10055i | 0.159641 | − | 0.168531i | ||||
\(593\) | −6.31653 | + | 28.6963i | −0.259389 | + | 1.17842i | 0.649165 | + | 0.760648i | \(0.275119\pi\) |
−0.908554 | + | 0.417768i | \(0.862812\pi\) | |||||||
\(594\) | −8.57023 | − | 10.0039i | −0.351641 | − | 0.410466i | ||||
\(595\) | −0.348487 | − | 2.12568i | −0.0142866 | − | 0.0871442i | ||||
\(596\) | −10.6091 | − | 15.6473i | −0.434566 | − | 0.640937i | ||||
\(597\) | 25.5682 | + | 30.0156i | 1.04644 | + | 1.22846i | ||||
\(598\) | −1.11304 | − | 0.945425i | −0.0455156 | − | 0.0386613i | ||||
\(599\) | −5.66178 | + | 12.2377i | −0.231334 | + | 0.500021i | −0.988128 | − | 0.153633i | \(-0.950903\pi\) |
0.756794 | + | 0.653654i | \(0.226765\pi\) | |||||||
\(600\) | 2.30436 | − | 5.80721i | 0.0940750 | − | 0.237078i | ||||
\(601\) | −2.55016 | + | 23.4483i | −0.104023 | + | 0.956477i | 0.819538 | + | 0.573025i | \(0.194230\pi\) |
−0.923561 | + | 0.383452i | \(0.874735\pi\) | |||||||
\(602\) | 1.97847 | + | 0.324354i | 0.0806366 | + | 0.0132197i | ||||
\(603\) | −10.1716 | − | 8.59078i | −0.414220 | − | 0.349843i | ||||
\(604\) | 5.75487 | + | 1.59783i | 0.234162 | + | 0.0650149i | ||||
\(605\) | −5.38924 | − | 0.292196i | −0.219104 | − | 0.0118795i | ||||
\(606\) | −4.81481 | + | 1.62983i | −0.195588 | + | 0.0662074i | ||||
\(607\) | −17.8001 | + | 33.5745i | −0.722483 | + | 1.36275i | 0.201185 | + | 0.979553i | \(0.435521\pi\) |
−0.923668 | + | 0.383194i | \(0.874824\pi\) | |||||||
\(608\) | −1.92678 | − | 4.83586i | −0.0781414 | − | 0.196120i | ||||
\(609\) | −0.277711 | + | 0.828058i | −0.0112534 | + | 0.0335546i | ||||
\(610\) | 6.95791 | − | 1.53155i | 0.281717 | − | 0.0620107i | ||||
\(611\) | 3.47022 | − | 0.963502i | 0.140390 | − | 0.0389791i | ||||
\(612\) | 7.58361 | − | 16.5133i | 0.306549 | − | 0.667509i | ||||
\(613\) | −11.4057 | − | 4.54446i | −0.460674 | − | 0.183549i | 0.128243 | − | 0.991743i | \(-0.459066\pi\) |
−0.588917 | + | 0.808194i | \(0.700445\pi\) | |||||||
\(614\) | −2.15270 | + | 1.63644i | −0.0868758 | + | 0.0660413i | ||||
\(615\) | −0.337350 | + | 0.203623i | −0.0136033 | + | 0.00821086i | ||||
\(616\) | 0.723907 | + | 0.243913i | 0.0291670 | + | 0.00982752i | ||||
\(617\) | 18.3603 | − | 24.1526i | 0.739159 | − | 0.972346i | −0.260817 | − | 0.965388i | \(-0.583992\pi\) |
0.999976 | − | 0.00695820i | \(-0.00221488\pi\) | |||||||
\(618\) | −2.05801 | − | 2.16651i | −0.0827853 | − | 0.0871499i | ||||
\(619\) | 5.92227 | − | 5.60987i | 0.238036 | − | 0.225480i | −0.559377 | − | 0.828913i | \(-0.688960\pi\) |
0.797413 | + | 0.603433i | \(0.206201\pi\) | |||||||
\(620\) | 3.01892 | − | 2.85967i | 0.121243 | − | 0.114847i | ||||
\(621\) | 3.06267 | − | 7.78192i | 0.122901 | − | 0.312278i | ||||
\(622\) | −19.2872 | + | 25.3719i | −0.773346 | + | 1.01732i | ||||
\(623\) | −1.26320 | − | 0.425620i | −0.0506088 | − | 0.0170521i | ||||
\(624\) | 0.812147 | + | 1.34552i | 0.0325119 | + | 0.0538638i | ||||
\(625\) | 4.81380 | − | 3.65935i | 0.192552 | − | 0.146374i | ||||
\(626\) | −4.31269 | − | 1.71833i | −0.172370 | − | 0.0686783i | ||||
\(627\) | −18.2163 | − | 13.8073i | −0.727487 | − | 0.551411i | ||||
\(628\) | −10.5055 | + | 2.91685i | −0.419216 | + | 0.116395i | ||||
\(629\) | 33.4118 | − | 7.35450i | 1.33222 | − | 0.293243i | ||||
\(630\) | −0.112369 | + | 1.06093i | −0.00447690 | + | 0.0422686i | ||||
\(631\) | 3.47431 | + | 8.71986i | 0.138310 | + | 0.347132i | 0.981774 | − | 0.190054i | \(-0.0608664\pi\) |
−0.843463 | + | 0.537187i | \(0.819487\pi\) | |||||||
\(632\) | 3.44275 | − | 6.49371i | 0.136945 | − | 0.258306i | ||||
\(633\) | 2.10958 | + | 6.23208i | 0.0838483 | + | 0.247703i | ||||
\(634\) | 23.8365 | + | 1.29238i | 0.946668 | + | 0.0513269i | ||||
\(635\) | 19.8213 | + | 5.50335i | 0.786584 | + | 0.218394i | ||||
\(636\) | −3.85879 | − | 5.06138i | −0.153011 | − | 0.200697i | ||||
\(637\) | −6.18667 | − | 1.01425i | −0.245125 | − | 0.0401862i | ||||
\(638\) | 0.458690 | − | 4.21758i | 0.0181597 | − | 0.166976i | ||||
\(639\) | 32.9819 | + | 5.31202i | 1.30474 | + | 0.210140i | ||||
\(640\) | 0.495557 | − | 1.07113i | 0.0195886 | − | 0.0423400i | ||||
\(641\) | 4.20985 | + | 3.57588i | 0.166279 | + | 0.141239i | 0.726663 | − | 0.686994i | \(-0.241070\pi\) |
−0.560383 | + | 0.828233i | \(0.689346\pi\) | |||||||
\(642\) | 11.3825 | − | 9.69595i | 0.449232 | − | 0.382668i | ||||
\(643\) | −20.9764 | − | 30.9379i | −0.827230 | − | 1.22007i | −0.973012 | − | 0.230756i | \(-0.925880\pi\) |
0.145782 | − | 0.989317i | \(-0.453430\pi\) | |||||||
\(644\) | 0.0784579 | + | 0.478572i | 0.00309167 | + | 0.0188584i | ||||
\(645\) | −3.65711 | − | 13.1003i | −0.143999 | − | 0.515825i | ||||
\(646\) | 6.77820 | − | 30.7937i | 0.266685 | − | 1.21156i | ||||
\(647\) | −15.2892 | + | 16.1407i | −0.601082 | + | 0.634555i | −0.953538 | − | 0.301274i | \(-0.902588\pi\) |
0.352455 | + | 0.935829i | \(0.385347\pi\) | |||||||
\(648\) | −5.78785 | + | 6.89208i | −0.227368 | + | 0.270747i | ||||
\(649\) | 8.88060 | − | 17.3299i | 0.348594 | − | 0.680257i | ||||
\(650\) | 3.27301i | 0.128378i | ||||||||
\(651\) | 0.945821 | − | 1.57698i | 0.0370696 | − | 0.0618066i | ||||
\(652\) | −6.19945 | − | 1.36460i | −0.242789 | − | 0.0534420i | ||||
\(653\) | −45.7249 | + | 2.47913i | −1.78935 | + | 0.0970160i | −0.918719 | − | 0.394913i | \(-0.870775\pi\) |
−0.870635 | + | 0.491929i | \(0.836292\pi\) | |||||||
\(654\) | −2.40711 | + | 0.963000i | −0.0941255 | + | 0.0376563i | ||||
\(655\) | 16.8787 | − | 11.4441i | 0.659506 | − | 0.447156i | ||||
\(656\) | 0.170307 | − | 0.0902912i | 0.00664938 | − | 0.00352528i | ||||
\(657\) | −37.2281 | − | 10.2238i | −1.45241 | − | 0.398868i | ||||
\(658\) | −1.08545 | − | 0.502181i | −0.0423151 | − | 0.0195771i | ||||
\(659\) | 20.6093 | − | 30.3964i | 0.802824 | − | 1.18408i | −0.176999 | − | 0.984211i | \(-0.556639\pi\) |
0.979823 | − | 0.199866i | \(-0.0640506\pi\) | |||||||
\(660\) | −0.567539 | − | 5.15112i | −0.0220914 | − | 0.200507i | ||||
\(661\) | 0.254671 | − | 1.55342i | 0.00990554 | − | 0.0604211i | −0.981411 | − | 0.191917i | \(-0.938530\pi\) |
0.991317 | + | 0.131496i | \(0.0419779\pi\) | |||||||
\(662\) | 17.6799 | − | 8.17960i | 0.687150 | − | 0.317909i | ||||
\(663\) | −0.502027 | + | 9.50628i | −0.0194971 | + | 0.369193i | ||||
\(664\) | −0.746392 | + | 13.7664i | −0.0289656 | + | 0.534240i | ||||
\(665\) | 0.200152 | + | 1.84037i | 0.00776158 | + | 0.0713666i | ||||
\(666\) | −16.9222 | − | 0.869830i | −0.655721 | − | 0.0337052i | ||||
\(667\) | 2.50204 | − | 0.996905i | 0.0968795 | − | 0.0386003i | ||||
\(668\) | −13.2863 | + | 22.0820i | −0.514063 | + | 0.854380i | ||||
\(669\) | −25.4024 | + | 11.7957i | −0.982112 | + | 0.456049i | ||||
\(670\) | −1.40125 | − | 5.04685i | −0.0541351 | − | 0.194977i | ||||
\(671\) | −11.6639 | + | 9.90741i | −0.450280 | + | 0.382471i | ||||
\(672\) | 0.0837115 | − | 0.515148i | 0.00322924 | − | 0.0198723i | ||||
\(673\) | −25.1931 | − | 33.1409i | −0.971121 | − | 1.27749i | −0.960713 | − | 0.277543i | \(-0.910480\pi\) |
−0.0104081 | − | 0.999946i | \(-0.503313\pi\) | |||||||
\(674\) | 2.82003 | + | 8.36955i | 0.108623 | + | 0.322383i | ||||
\(675\) | −17.7366 | + | 6.05948i | −0.682681 | + | 0.233229i | ||||
\(676\) | 9.69376 | + | 7.36900i | 0.372837 | + | 0.283423i | ||||
\(677\) | −14.0405 | − | 23.3355i | −0.539621 | − | 0.896857i | −0.999958 | − | 0.00911299i | \(-0.997099\pi\) |
0.460338 | − | 0.887744i | \(-0.347728\pi\) | |||||||
\(678\) | −2.94678 | + | 4.35934i | −0.113170 | + | 0.167419i | ||||
\(679\) | 1.25456 | + | 1.32443i | 0.0481457 | + | 0.0508268i | ||||
\(680\) | 6.12539 | − | 3.68552i | 0.234898 | − | 0.141333i | ||||
\(681\) | 12.6892 | + | 5.84905i | 0.486253 | + | 0.224136i | ||||
\(682\) | −2.85208 | + | 8.46468i | −0.109212 | + | 0.324129i | ||||
\(683\) | −28.1718 | + | 9.49219i | −1.07796 | + | 0.363208i | −0.801610 | − | 0.597847i | \(-0.796023\pi\) |
−0.276354 | + | 0.961056i | \(0.589126\pi\) | |||||||
\(684\) | −7.27623 | + | 13.8181i | −0.278214 | + | 0.528347i | ||||
\(685\) | −5.72326 | + | 14.3643i | −0.218675 | + | 0.548832i | ||||
\(686\) | 2.71329 | + | 3.19434i | 0.103594 | + | 0.121960i | ||||
\(687\) | 34.9573 | − | 18.5961i | 1.33370 | − | 0.709486i | ||||
\(688\) | 1.43033 | + | 6.49807i | 0.0545309 | + | 0.247737i | ||||
\(689\) | 2.85697 | + | 1.71898i | 0.108842 | + | 0.0654880i | ||||
\(690\) | 2.72049 | − | 1.85012i | 0.103567 | − | 0.0704330i | ||||
\(691\) | −1.57979 | − | 0.837551i | −0.0600980 | − | 0.0318619i | 0.438088 | − | 0.898932i | \(-0.355656\pi\) |
−0.498186 | + | 0.867070i | \(0.666000\pi\) | |||||||
\(692\) | −5.74418 | + | 0.624717i | −0.218361 | + | 0.0237482i | ||||
\(693\) | −0.854216 | − | 2.12653i | −0.0324490 | − | 0.0807802i | ||||
\(694\) | 9.38871 | − | 33.8151i | 0.356391 | − | 1.28360i | ||||
\(695\) | 1.26797 | + | 2.74067i | 0.0480969 | + | 0.103960i | ||||
\(696\) | −2.89404 | + | 0.160987i | −0.109698 | + | 0.00610219i | ||||
\(697\) | 1.16074 | + | 0.126238i | 0.0439661 | + | 0.00478160i | ||||
\(698\) | −18.2771 | − | 12.3922i | −0.691800 | − | 0.469052i | ||||
\(699\) | −25.4971 | − | 5.57480i | −0.964388 | − | 0.210858i | ||||
\(700\) | 0.703645 | − | 0.828395i | 0.0265953 | − | 0.0313104i | ||||
\(701\) | 11.1864 | + | 21.0998i | 0.422506 | + | 0.796930i | 0.999808 | − | 0.0196004i | \(-0.00623941\pi\) |
−0.577302 | + | 0.816530i | \(0.695895\pi\) | |||||||
\(702\) | 1.48663 | − | 4.47437i | 0.0561092 | − | 0.168874i | ||||
\(703\) | −29.0147 | + | 4.75672i | −1.09431 | + | 0.179403i | ||||
\(704\) | 0.137250 | + | 2.53142i | 0.00517280 | + | 0.0954066i | ||||
\(705\) | 0.0113947 | + | 8.11360i | 0.000429151 | + | 0.305576i | ||||
\(706\) | −14.6004 | − | 13.8303i | −0.549495 | − | 0.520509i | ||||
\(707\) | −0.884313 | −0.0332580 | ||||||||
\(708\) | −12.6714 | − | 4.05414i | −0.476220 | − | 0.152364i | ||||
\(709\) | 2.20311 | 0.0827395 | 0.0413697 | − | 0.999144i | \(-0.486828\pi\) | ||||
0.0413697 | + | 0.999144i | \(0.486828\pi\) | |||||||
\(710\) | 9.54130 | + | 9.03800i | 0.358079 | + | 0.339190i | ||||
\(711\) | −21.5208 | + | 4.80049i | −0.807091 | + | 0.180033i | ||||
\(712\) | −0.239497 | − | 4.41726i | −0.00897552 | − | 0.165544i | ||||
\(713\) | −5.59596 | + | 0.917412i | −0.209571 | + | 0.0343573i | ||||
\(714\) | 2.17076 | − | 2.29810i | 0.0812387 | − | 0.0860043i | ||||
\(715\) | 1.27167 | + | 2.39862i | 0.0475577 | + | 0.0897033i | ||||
\(716\) | −4.03696 | + | 4.75267i | −0.150868 | + | 0.177616i | ||||
\(717\) | 1.70088 | − | 7.77919i | 0.0635205 | − | 0.290519i | ||||
\(718\) | −8.63533 | − | 5.85490i | −0.322268 | − | 0.218503i | ||||
\(719\) | −32.3073 | − | 3.51363i | −1.20486 | − | 0.131036i | −0.516423 | − | 0.856334i | \(-0.672737\pi\) |
−0.688435 | + | 0.725298i | \(0.741702\pi\) | |||||||
\(720\) | −3.40889 | + | 0.956796i | −0.127042 | + | 0.0356577i | ||||
\(721\) | −0.218278 | − | 0.471801i | −0.00812911 | − | 0.0175708i | ||||
\(722\) | −2.16647 | + | 7.80291i | −0.0806276 | + | 0.290394i | ||||
\(723\) | −6.30006 | − | 38.0935i | −0.234302 | − | 1.41671i | ||||
\(724\) | −23.7351 | + | 2.58135i | −0.882108 | + | 0.0959351i | ||||
\(725\) | −5.33318 | − | 2.82747i | −0.198069 | − | 0.105010i | ||||
\(726\) | −4.45423 | − | 6.54968i | −0.165312 | − | 0.243081i | ||||
\(727\) | −40.4000 | − | 24.3079i | −1.49835 | − | 0.901529i | −0.999391 | − | 0.0349052i | \(-0.988887\pi\) |
−0.498962 | − | 0.866624i | \(-0.666285\pi\) | |||||||
\(728\) | 0.0587757 | + | 0.267021i | 0.00217837 | + | 0.00989644i | ||||
\(729\) | 26.9990 | − | 0.227510i | 0.999964 | − | 0.00842630i | ||||
\(730\) | −9.83243 | − | 11.5756i | −0.363915 | − | 0.428434i | ||||
\(731\) | −14.9173 | + | 37.4395i | −0.551735 | + | 1.38475i | ||||
\(732\) | 7.97847 | + | 6.75771i | 0.294893 | + | 0.249772i | ||||
\(733\) | −6.83909 | + | 2.30436i | −0.252608 | + | 0.0851134i | −0.442757 | − | 0.896642i | \(-0.645999\pi\) |
0.190149 | + | 0.981755i | \(0.439103\pi\) | |||||||
\(734\) | 9.57145 | − | 28.4070i | 0.353289 | − | 1.04852i | ||||
\(735\) | 5.91236 | − | 12.8266i | 0.218081 | − | 0.473116i | ||||
\(736\) | −1.37906 | + | 0.829754i | −0.0508329 | + | 0.0305852i | ||||
\(737\) | 7.73729 | + | 8.16816i | 0.285007 | + | 0.300878i | ||||
\(738\) | −0.537813 | − | 0.212536i | −0.0197972 | − | 0.00782355i | ||||
\(739\) | 3.40747 | + | 5.66326i | 0.125346 | + | 0.208326i | 0.913175 | − | 0.407567i | \(-0.133623\pi\) |
−0.787829 | + | 0.615893i | \(0.788795\pi\) | |||||||
\(740\) | −5.30677 | − | 4.03410i | −0.195081 | − | 0.148297i | ||||
\(741\) | 0.873122 | − | 8.13449i | 0.0320749 | − | 0.298828i | ||||
\(742\) | −0.353542 | − | 1.04928i | −0.0129789 | − | 0.0385201i | ||||
\(743\) | 8.67566 | + | 11.4126i | 0.318279 | + | 0.418689i | 0.927214 | − | 0.374531i | \(-0.122196\pi\) |
−0.608935 | + | 0.793220i | \(0.708403\pi\) | |||||||
\(744\) | 6.02365 | + | 0.978842i | 0.220838 | + | 0.0358861i | ||||
\(745\) | −17.0050 | + | 14.4442i | −0.623016 | + | 0.529195i | ||||
\(746\) | −9.25533 | − | 33.3347i | −0.338862 | − | 1.22047i | ||||
\(747\) | 32.8559 | − | 25.1223i | 1.20213 | − | 0.919177i | ||||
\(748\) | −7.91668 | + | 13.1576i | −0.289462 | + | 0.481090i | ||||
\(749\) | 2.41649 | − | 0.962817i | 0.0882966 | − | 0.0351806i | ||||
\(750\) | −16.9598 | − | 4.68321i | −0.619283 | − | 0.171007i | ||||
\(751\) | 0.882213 | + | 8.11181i | 0.0321924 | + | 0.296004i | 0.999156 | + | 0.0410879i | \(0.0130824\pi\) |
−0.966963 | + | 0.254916i | \(0.917952\pi\) | |||||||
\(752\) | 0.214884 | − | 3.96330i | 0.00783602 | − | 0.144527i | ||||
\(753\) | −6.42497 | − | 0.339302i | −0.234139 | − | 0.0123649i | ||||
\(754\) | 1.37811 | − | 0.637584i | 0.0501880 | − | 0.0232194i | ||||
\(755\) | 1.14038 | − | 6.95602i | 0.0415027 | − | 0.253156i | ||||
\(756\) | −1.33818 | + | 0.812856i | −0.0486692 | + | 0.0295633i | ||||
\(757\) | 1.45826 | − | 2.15077i | 0.0530012 | − | 0.0781710i | −0.800265 | − | 0.599646i | \(-0.795308\pi\) |
0.853266 | + | 0.521476i | \(0.174618\pi\) | |||||||
\(758\) | 16.0562 | + | 7.42839i | 0.583187 | + | 0.269811i | ||||
\(759\) | −3.30150 | + | 6.24847i | −0.119837 | + | 0.226805i | ||||
\(760\) | −5.42801 | + | 2.87775i | −0.196895 | + | 0.104387i | ||||
\(761\) | 34.6471 | − | 23.4913i | 1.25596 | − | 0.851560i | 0.262407 | − | 0.964957i | \(-0.415484\pi\) |
0.993550 | + | 0.113398i | \(0.0361734\pi\) | |||||||
\(762\) | 11.2138 | + | 28.0298i | 0.406231 | + | 1.01541i | ||||
\(763\) | −0.450368 | + | 0.0244183i | −0.0163044 | + | 0.000884000i | ||||
\(764\) | −10.8492 | − | 2.38810i | −0.392511 | − | 0.0863983i | ||||
\(765\) | −20.3425 | − | 6.79063i | −0.735486 | − | 0.245516i | ||||
\(766\) | 15.1227i | 0.546406i | ||||||||
\(767\) | 6.95354 | − | 0.474273i | 0.251078 | − | 0.0171250i | ||||
\(768\) | 1.69103 | − | 0.374715i | 0.0610199 | − | 0.0135214i | ||||
\(769\) | −35.7359 | + | 37.7259i | −1.28867 | + | 1.36043i | −0.390611 | + | 0.920556i | \(0.627736\pi\) |
−0.898058 | + | 0.439876i | \(0.855022\pi\) | |||||||
\(770\) | 0.193808 | − | 0.880477i | 0.00698434 | − | 0.0317302i | ||||
\(771\) | 8.56295 | − | 2.39045i | 0.308387 | − | 0.0860899i | ||||
\(772\) | 1.54118 | + | 9.40078i | 0.0554683 | + | 0.338341i | ||||
\(773\) | −22.5656 | − | 33.2817i | −0.811626 | − | 1.19706i | −0.977505 | − | 0.210913i | \(-0.932356\pi\) |
0.165878 | − | 0.986146i | \(-0.446954\pi\) | |||||||
\(774\) | 12.0351 | − | 15.9246i | 0.432594 | − | 0.572397i | ||||
\(775\) | 9.68646 | + | 8.22775i | 0.347948 | + | 0.295550i | ||||
\(776\) | −2.54213 | + | 5.49472i | −0.0912571 | + | 0.197249i | ||||
\(777\) | −2.73998 | − | 1.08725i | −0.0982961 | − | 0.0390049i | ||||
\(778\) | 3.41130 | − | 31.3664i | 0.122301 | − | 1.12454i | ||||
\(779\) | −0.990218 | − | 0.162338i | −0.0354783 | − | 0.00581636i | ||||
\(780\) | 1.47505 | − | 1.12458i | 0.0528153 | − | 0.0402663i | ||||
\(781\) | −27.2014 | − | 7.55244i | −0.973343 | − | 0.270247i | ||||
\(782\) | −9.73430 | − | 0.527779i | −0.348098 | − | 0.0188733i | ||||
\(783\) | 6.00646 | + | 6.28767i | 0.214653 | + | 0.224703i | ||||
\(784\) | −3.23633 | + | 6.10437i | −0.115583 | + | 0.218013i | ||||
\(785\) | 4.76284 | + | 11.9538i | 0.169993 | + | 0.426651i | ||||
\(786\) | 28.3745 | + | 9.51615i | 1.01209 | + | 0.339430i | ||||
\(787\) | −22.8100 | + | 5.02085i | −0.813088 | + | 0.178974i | −0.602003 | − | 0.798494i | \(-0.705631\pi\) |
−0.211085 | + | 0.977468i | \(0.567700\pi\) | |||||||
\(788\) | −11.7086 | + | 3.25087i | −0.417101 | + | 0.115807i | ||||
\(789\) | 28.6971 | − | 37.8606i | 1.02164 | − | 1.34787i | ||||
\(790\) | −8.05831 | − | 3.21073i | −0.286702 | − | 0.114232i | ||||
\(791\) | −0.728743 | + | 0.553976i | −0.0259111 | + | 0.0196971i | ||||
\(792\) | 5.50679 | − | 5.24574i | 0.195675 | − | 0.186399i | ||||
\(793\) | −5.19077 | − | 1.74897i | −0.184330 | − | 0.0621079i | ||||
\(794\) | 8.56427 | − | 11.2661i | 0.303935 | − | 0.399819i | ||||
\(795\) | −5.44608 | + | 5.17333i | −0.193152 | + | 0.183479i | ||||
\(796\) | −16.5269 | + | 15.6551i | −0.585782 | + | 0.554882i | ||||
\(797\) | −34.6301 | + | 32.8034i | −1.22666 | + | 1.16196i | −0.245369 | + | 0.969430i | \(0.578909\pi\) |
−0.981292 | + | 0.192525i | \(0.938332\pi\) | |||||||
\(798\) | −1.96977 | + | 1.87112i | −0.0697292 | + | 0.0662371i | ||||
\(799\) | 14.5493 | − | 19.1393i | 0.514717 | − | 0.677099i | ||||
\(800\) | 3.41829 | + | 1.15176i | 0.120855 | + | 0.0407207i | ||||
\(801\) | −9.60918 | + | 9.15365i | −0.339524 | + | 0.323428i | ||||
\(802\) | −0.370839 | + | 0.281904i | −0.0130948 | + | 0.00995438i | ||||
\(803\) | 30.3072 | + | 12.0755i | 1.06952 | + | 0.426135i | ||||
\(804\) | 4.64329 | − | 6.12598i | 0.163756 | − | 0.216047i | ||||
\(805\) | 0.551492 | − | 0.153121i | 0.0194375 | − | 0.00539681i | ||||
\(806\) | −3.12228 | + | 0.687267i | −0.109978 | + | 0.0242079i | ||||
\(807\) | −28.9901 | − | 9.72259i | −1.02050 | − | 0.342251i | ||||
\(808\) | −1.08627 | − | 2.72634i | −0.0382150 | − | 0.0959123i | ||||
\(809\) | 18.1294 | − | 34.1957i | 0.637396 | − | 1.20226i | −0.328788 | − | 0.944404i | \(-0.606640\pi\) |
0.966184 | − | 0.257853i | \(-0.0830151\pi\) | |||||||
\(810\) | 8.82495 | + | 5.91138i | 0.310077 | + | 0.207705i | ||||
\(811\) | 3.99814 | + | 0.216773i | 0.140394 | + | 0.00761192i | 0.124202 | − | 0.992257i | \(-0.460363\pi\) |
0.0161918 | + | 0.999869i | \(0.494846\pi\) | |||||||
\(812\) | −0.485870 | − | 0.134901i | −0.0170507 | − | 0.00473410i | ||||
\(813\) | 1.97608 | − | 1.50656i | 0.0693041 | − | 0.0528374i | ||||
\(814\) | 14.1303 | + | 2.31654i | 0.495266 | + | 0.0811948i | ||||
\(815\) | −0.810006 | + | 7.44788i | −0.0283733 | + | 0.260888i | ||||
\(816\) | 9.75157 | + | 3.86952i | 0.341373 | + | 0.135460i | ||||
\(817\) | 14.5433 | − | 31.4348i | 0.508805 | − | 1.09976i | ||||
\(818\) | 0.791165 | + | 0.672021i | 0.0276624 | + | 0.0234967i | ||||
\(819\) | 0.494551 | − | 0.654378i | 0.0172810 | − | 0.0228658i | ||||
\(820\) | −0.127669 | − | 0.188298i | −0.00445841 | − | 0.00657567i | ||||
\(821\) | 0.934297 | + | 5.69896i | 0.0326072 | + | 0.198895i | 0.998106 | − | 0.0615109i | \(-0.0195919\pi\) |
−0.965499 | + | 0.260406i | \(0.916144\pi\) | |||||||
\(822\) | −21.8568 | + | 6.10158i | −0.762343 | + | 0.212817i | ||||
\(823\) | −3.09652 | + | 14.0676i | −0.107938 | + | 0.490366i | 0.891374 | + | 0.453269i | \(0.149742\pi\) |
−0.999312 | + | 0.0370973i | \(0.988189\pi\) | |||||||
\(824\) | 1.18643 | − | 1.25250i | 0.0413314 | − | 0.0436330i | ||||
\(825\) | 15.4637 | − | 3.42659i | 0.538377 | − | 0.119299i | ||||
\(826\) | −1.86190 | − | 1.37486i | −0.0647836 | − | 0.0478376i | ||||
\(827\) | − | 41.8796i | − | 1.45630i | −0.685420 | − | 0.728148i | \(-0.740381\pi\) | ||
0.685420 | − | 0.728148i | \(-0.259619\pi\) | |||||||
\(828\) | 4.57989 | + | 1.52883i | 0.159162 | + | 0.0531307i | ||||
\(829\) | 16.7704 | + | 3.69144i | 0.582460 | + | 0.128209i | 0.496420 | − | 0.868083i | \(-0.334648\pi\) |
0.0860401 | + | 0.996292i | \(0.472579\pi\) | |||||||
\(830\) | 16.2472 | − | 0.880898i | 0.563949 | − | 0.0305764i | ||||
\(831\) | −4.11400 | − | 10.2833i | −0.142713 | − | 0.356725i | ||||
\(832\) | −0.751026 | + | 0.509209i | −0.0260372 | + | 0.0176536i | ||||
\(833\) | −36.9749 | + | 19.6029i | −1.28110 | + | 0.679199i | ||||
\(834\) | −2.07037 | + | 3.91843i | −0.0716912 | + | 0.135684i | ||||
\(835\) | 27.6040 | + | 12.7710i | 0.955276 | + | 0.441958i | ||||
\(836\) | 7.40592 | − | 10.9229i | 0.256139 | − | 0.377777i | ||||
\(837\) | −9.50476 | − | 15.6474i | −0.328533 | − | 0.540854i | ||||
\(838\) | 4.03921 | − | 24.6381i | 0.139532 | − | 0.851110i | ||||
\(839\) | 15.6959 | − | 7.26168i | 0.541881 | − | 0.250701i | −0.129801 | − | 0.991540i | \(-0.541434\pi\) |
0.671683 | + | 0.740839i | \(0.265572\pi\) | |||||||
\(840\) | −0.615100 | − | 0.0324834i | −0.0212230 | − | 0.00112078i | ||||
\(841\) | 1.41841 | − | 26.1611i | 0.0489109 | − | 0.902108i | ||||
\(842\) | 2.39554 | + | 22.0266i | 0.0825556 | + | 0.759086i | ||||
\(843\) | −23.9545 | − | 6.61471i | −0.825037 | − | 0.227823i | ||||
\(844\) | −3.52885 | + | 1.40602i | −0.121468 | + | 0.0483973i | ||||
\(845\) | 7.40902 | − | 12.3139i | 0.254878 | − | 0.423611i | ||||
\(846\) | −9.45910 | + | 7.23264i | −0.325211 | + | 0.248663i | ||||
\(847\) | −0.368644 | − | 1.32774i | −0.0126668 | − | 0.0456215i | ||||
\(848\) | 2.80063 | − | 2.37888i | 0.0961742 | − | 0.0816911i | ||||
\(849\) | −37.2912 | − | 6.05981i | −1.27983 | − | 0.207972i | ||||
\(850\) | 13.2223 | + | 17.3936i | 0.453520 | + | 0.596596i | ||||
\(851\) | 2.90258 | + | 8.61456i | 0.0994992 | + | 0.295303i | ||||
\(852\) | −2.05841 | + | 19.1773i | −0.0705201 | + | 0.657005i | ||||
\(853\) | 22.7045 | + | 17.2595i | 0.777388 | + | 0.590955i | 0.916831 | − | 0.399275i | \(-0.130738\pi\) |
−0.139443 | + | 0.990230i | \(0.544531\pi\) | |||||||
\(854\) | 0.937776 | + | 1.55860i | 0.0320900 | + | 0.0533341i | ||||
\(855\) | 17.1411 | + | 6.77390i | 0.586212 | + | 0.231663i | ||||
\(856\) | 5.93674 | + | 6.26734i | 0.202913 | + | 0.214213i | ||||
\(857\) | 12.2531 | − | 7.37245i | 0.418558 | − | 0.251838i | −0.290661 | − | 0.956826i | \(-0.593875\pi\) |
0.709219 | + | 0.704988i | \(0.249048\pi\) | |||||||
\(858\) | −1.66788 | + | 3.61839i | −0.0569405 | + | 0.123530i | ||||
\(859\) | −7.25487 | + | 21.5317i | −0.247533 | + | 0.734652i | 0.749800 | + | 0.661665i | \(0.230150\pi\) |
−0.997333 | + | 0.0729870i | \(0.976747\pi\) | |||||||
\(860\) | 7.44160 | − | 2.50737i | 0.253757 | − | 0.0855005i | ||||
\(861\) | −0.0767674 | − | 0.0650215i | −0.00261623 | − | 0.00221593i | ||||
\(862\) | −9.34576 | + | 23.4561i | −0.318318 | + | 0.798917i | ||||
\(863\) | 2.40619 | + | 2.83278i | 0.0819075 | + | 0.0964290i | 0.801589 | − | 0.597875i | \(-0.203988\pi\) |
−0.719682 | + | 0.694304i | \(0.755712\pi\) | |||||||
\(864\) | −4.14983 | − | 3.12712i | −0.141180 | − | 0.106387i | ||||
\(865\) | 1.46595 | + | 6.65987i | 0.0498437 | + | 0.226442i | ||||
\(866\) | −23.3130 | − | 14.0269i | −0.792207 | − | 0.476655i | ||||
\(867\) | 19.1772 | + | 28.1989i | 0.651292 | + | 0.957685i | ||||
\(868\) | 0.937998 | + | 0.497295i | 0.0318377 | + | 0.0168793i | ||||
\(869\) | 18.5238 | − | 2.01458i | 0.628376 | − | 0.0683400i | ||||
\(870\) | 0.558172 | + | 3.37500i | 0.0189238 | + | 0.114423i | ||||
\(871\) | −1.07732 | + | 3.88017i | −0.0365037 | + | 0.131474i | ||||
\(872\) | −0.628505 | − | 1.35849i | −0.0212839 | − | 0.0460043i | ||||
\(873\) | 17.4871 | − | 4.90822i | 0.591849 | − | 0.166118i | ||||
\(874\) | 8.32897 | + | 0.905831i | 0.281732 | + | 0.0306402i | ||||
\(875\) | −2.53346 | − | 1.71773i | −0.0856466 | − | 0.0580698i | ||||
\(876\) | 4.76100 | − | 21.7751i | 0.160859 | − | 0.735711i | ||||
\(877\) | 23.2521 | − | 27.3745i | 0.785167 | − | 0.924370i | −0.213450 | − | 0.976954i | \(-0.568470\pi\) |
0.998616 | + | 0.0525843i | \(0.0167458\pi\) | |||||||
\(878\) | −7.12663 | − | 13.4422i | −0.240512 | − | 0.453654i | ||||
\(879\) | 13.6172 | − | 14.4159i | 0.459295 | − | 0.486238i | ||||
\(880\) | 2.95258 | − | 0.484051i | 0.0995315 | − | 0.0163174i | ||||
\(881\) | 2.31825 | + | 42.7576i | 0.0781039 | + | 1.44054i | 0.730629 | + | 0.682774i | \(0.239227\pi\) |
−0.652525 | + | 0.757767i | \(0.726290\pi\) | |||||||
\(882\) | 20.2304 | − | 4.51267i | 0.681194 | − | 0.151949i | ||||
\(883\) | 15.9602 | + | 15.1183i | 0.537103 | + | 0.508771i | 0.907471 | − | 0.420114i | \(-0.138010\pi\) |
−0.370369 | + | 0.928885i | \(0.620769\pi\) | |||||||
\(884\) | −5.49610 | −0.184854 | ||||||||
\(885\) | −3.13978 | + | 15.3845i | −0.105542 | + | 0.517145i | ||||
\(886\) | 36.7270 | 1.23387 | ||||||||
\(887\) | 8.76756 | + | 8.30507i | 0.294386 | + | 0.278857i | 0.820610 | − | 0.571489i | \(-0.193634\pi\) |
−0.526224 | + | 0.850346i | \(0.676393\pi\) | |||||||
\(888\) | −0.0137391 | − | 9.78291i | −0.000461055 | − | 0.328293i | ||||
\(889\) | 0.284341 | + | 5.24436i | 0.00953649 | + | 0.175890i | ||||
\(890\) | −5.15216 | + | 0.844654i | −0.172701 | + | 0.0283129i | ||||
\(891\) | −22.6960 | − | 2.33941i | −0.760346 | − | 0.0783733i | ||||
\(892\) | −7.57422 | − | 14.2865i | −0.253604 | − | 0.478347i | ||||
\(893\) | −13.3760 | + | 15.7475i | −0.447612 | + | 0.526970i | ||||
\(894\) | −31.9883 | − | 6.99408i | −1.06985 | − | 0.233917i | ||||
\(895\) | 6.09139 | + | 4.13006i | 0.203613 | + | 0.138053i | ||||
\(896\) | 0.299556 | + | 0.0325786i | 0.0100075 | + | 0.00108838i | ||||
\(897\) | −2.52553 | + | 0.140488i | −0.0843252 | + | 0.00469076i | ||||
\(898\) | 4.29385 | + | 9.28100i | 0.143288 | + | 0.309711i | ||||
\(899\) | 1.57740 | − | 5.68129i | 0.0526094 | − | 0.189482i | ||||
\(900\) | −4.03361 | − | 10.0415i | −0.134454 | − | 0.334716i | ||||
\(901\) | 22.1270 | − | 2.40646i | 0.737157 | − | 0.0801707i | ||||
\(902\) | 0.431753 | + | 0.228901i | 0.0143758 | + | 0.00762157i | ||||
\(903\) | 2.87146 | − | 1.95279i | 0.0955563 | − | 0.0649848i | ||||
\(904\) | −2.60308 | − | 1.56622i | −0.0865773 | − | 0.0520918i | ||||
\(905\) | 6.05734 | + | 27.5188i | 0.201353 | + | 0.914755i | ||||
\(906\) | 9.13294 | − | 4.85842i | 0.303422 | − | 0.161410i | ||||
\(907\) | 24.6252 | + | 28.9910i | 0.817667 | + | 0.962631i | 0.999787 | − | 0.0206448i | \(-0.00657191\pi\) |
−0.182120 | + | 0.983276i | \(0.558296\pi\) | |||||||
\(908\) | −2.98590 | + | 7.49403i | −0.0990904 | + | 0.248698i | ||||
\(909\) | −4.10216 | + | 7.79029i | −0.136060 | + | 0.258388i | ||||
\(910\) | 0.305793 | − | 0.103034i | 0.0101369 | − | 0.00341553i | ||||
\(911\) | 3.91535 | − | 11.6203i | 0.129721 | − | 0.384999i | −0.863035 | − | 0.505144i | \(-0.831439\pi\) |
0.992756 | + | 0.120145i | \(0.0383359\pi\) | |||||||
\(912\) | −8.18831 | − | 3.77436i | −0.271142 | − | 0.124982i | ||||
\(913\) | −29.9480 | + | 18.0191i | −0.991136 | + | 0.596347i | ||||
\(914\) | 4.97375 | + | 5.25073i | 0.164517 | + | 0.173679i | ||||
\(915\) | 6.91067 | − | 10.2234i | 0.228460 | − | 0.337974i | ||||
\(916\) | 11.7859 | + | 19.5883i | 0.389417 | + | 0.647216i | ||||
\(917\) | 4.14485 | + | 3.15083i | 0.136875 | + | 0.104050i | ||||
\(918\) | −10.1752 | − | 29.7836i | −0.335831 | − | 0.983005i | ||||
\(919\) | −1.11895 | − | 3.32094i | −0.0369109 | − | 0.109548i | 0.927613 | − | 0.373542i | \(-0.121857\pi\) |
−0.964524 | + | 0.263994i | \(0.914960\pi\) | |||||||
\(920\) | 1.14951 | + | 1.51216i | 0.0378984 | + | 0.0498545i | ||||
\(921\) | −0.751230 | + | 4.62296i | −0.0247539 | + | 0.152332i | ||||
\(922\) | 32.3800 | − | 27.5038i | 1.06638 | − | 0.905790i | ||||
\(923\) | −2.70317 | − | 9.73593i | −0.0889758 | − | 0.320462i | ||||
\(924\) | 1.20004 | − | 0.557243i | 0.0394783 | − | 0.0183319i | ||||
\(925\) | 10.5037 | − | 17.4572i | 0.345359 | − | 0.573991i | ||||
\(926\) | 9.25438 | − | 3.68728i | 0.304118 | − | 0.121172i | ||||
\(927\) | −5.16884 | − | 0.265688i | −0.169767 | − | 0.00872633i | ||||
\(928\) | −0.180932 | − | 1.66365i | −0.00593940 | − | 0.0546119i | ||||
\(929\) | −2.39483 | + | 44.1700i | −0.0785717 | + | 1.44917i | 0.647770 | + | 0.761836i | \(0.275702\pi\) |
−0.726341 | + | 0.687334i | \(0.758781\pi\) | |||||||
\(930\) | 0.379830 | − | 7.19239i | 0.0124551 | − | 0.235848i | ||||
\(931\) | 32.6423 | − | 15.1019i | 1.06981 | − | 0.494945i | ||||
\(932\) | 2.43781 | − | 14.8700i | 0.0798532 | − | 0.487083i | ||||
\(933\) | 6.04538 | + | 54.8693i | 0.197917 | + | 1.79634i | ||||
\(934\) | −8.34960 | + | 12.3147i | −0.273207 | + | 0.402951i | ||||
\(935\) | 16.4479 | + | 7.60961i | 0.537904 | + | 0.248861i | ||||
\(936\) | 2.62495 | + | 0.720878i | 0.0857991 | + | 0.0235626i | ||||
\(937\) | −25.4001 | + | 13.4663i | −0.829784 | + | 0.439923i | −0.828441 | − | 0.560076i | \(-0.810772\pi\) |
−0.00134215 | + | 0.999999i | \(0.500427\pi\) | |||||||
\(938\) | 1.10684 | − | 0.750458i | 0.0361397 | − | 0.0245033i | ||||
\(939\) | −7.46560 | + | 2.98672i | −0.243631 | + | 0.0974681i | ||||
\(940\) | −4.67752 | + | 0.253608i | −0.152564 | + | 0.00827178i | ||||
\(941\) | −48.0853 | − | 10.5844i | −1.56754 | − | 0.345041i | −0.655514 | − | 0.755183i | \(-0.727548\pi\) |
−0.912021 | + | 0.410143i | \(0.865479\pi\) | |||||||
\(942\) | −9.71322 | + | 16.1949i | −0.316474 | + | 0.527660i | ||||
\(943\) | 0.310239i | 0.0101028i | ||||||||
\(944\) | 1.95159 | − | 7.42908i | 0.0635189 | − | 0.241796i | ||||
\(945\) | 1.12447 | + | 1.46635i | 0.0365791 | + | 0.0477004i | ||||
\(946\) | −11.6000 | + | 12.2460i | −0.377150 | + | 0.398152i | ||||
\(947\) | 6.74241 | − | 30.6311i | 0.219099 | − | 0.995376i | −0.730745 | − | 0.682651i | \(-0.760827\pi\) |
0.949844 | − | 0.312725i | \(-0.101242\pi\) | |||||||
\(948\) | −3.42296 | − | 12.2616i | −0.111173 | − | 0.398237i | ||||
\(949\) | 1.88911 | + | 11.5231i | 0.0613231 | + | 0.374054i | ||||
\(950\) | −10.5375 | − | 15.5416i | −0.341881 | − | 0.504236i | ||||
\(951\) | 31.4752 | − | 26.8115i | 1.02065 | − | 0.869422i | ||||
\(952\) | 1.39106 | + | 1.18157i | 0.0450844 | + | 0.0382950i | ||||
\(953\) | −14.6144 | + | 31.5885i | −0.473407 | + | 1.02325i | 0.512918 | + | 0.858438i | \(0.328565\pi\) |
−0.986325 | + | 0.164814i | \(0.947298\pi\) | |||||||
\(954\) | −10.8835 | − | 1.75289i | −0.352367 | − | 0.0567518i | ||||
\(955\) | −1.41753 | + | 13.0340i | −0.0458703 | + | 0.421771i | ||||
\(956\) | 4.53686 | + | 0.743780i | 0.146732 | + | 0.0240556i | ||||
\(957\) | −4.45512 | − | 5.84355i | −0.144013 | − | 0.188895i | ||||
\(958\) | −15.2564 | − | 4.23591i | −0.492911 | − | 0.136856i | ||||
\(959\) | −3.94198 | − | 0.213728i | −0.127293 | − | 0.00690164i | ||||
\(960\) | −0.655430 | − | 1.93626i | −0.0211539 | − | 0.0624924i | ||||
\(961\) | 8.70577 | − | 16.4208i | 0.280831 | − | 0.529704i | ||||
\(962\) | 1.89697 | + | 4.76103i | 0.0611607 | + | 0.153502i | ||||
\(963\) | 2.72777 | − | 25.7542i | 0.0879010 | − | 0.829917i | ||||
\(964\) | 21.7709 | − | 4.79213i | 0.701192 | − | 0.154344i | ||||
\(965\) | 10.8332 | − | 3.00782i | 0.348732 | − | 0.0968251i | ||||
\(966\) | 0.669413 | + | 0.507393i | 0.0215380 | + | 0.0163251i | ||||
\(967\) | 35.6412 | + | 14.2008i | 1.14614 | + | 0.456666i | 0.864390 | − | 0.502821i | \(-0.167705\pi\) |
0.281754 | + | 0.959487i | \(0.409084\pi\) | |||||||
\(968\) | 3.64058 | − | 2.76749i | 0.117013 | − | 0.0889506i | ||||
\(969\) | −28.2217 | − | 46.7560i | −0.906611 | − | 1.50202i | ||||
\(970\) | 6.77129 | + | 2.28151i | 0.217413 | + | 0.0732549i | ||||
\(971\) | −2.28504 | + | 3.00592i | −0.0733305 | + | 0.0964647i | −0.831296 | − | 0.555830i | \(-0.812400\pi\) |
0.757965 | + | 0.652295i | \(0.226194\pi\) | |||||||
\(972\) | 0.953222 | + | 15.5593i | 0.0305746 | + | 0.499064i | ||||
\(973\) | −0.559733 | + | 0.530207i | −0.0179442 | + | 0.0169977i | ||||
\(974\) | −17.6836 | + | 16.7508i | −0.566619 | + | 0.536730i | ||||
\(975\) | 3.90436 | + | 4.11020i | 0.125040 | + | 0.131632i | ||||
\(976\) | −3.65321 | + | 4.80572i | −0.116936 | + | 0.153827i | ||||
\(977\) | −15.5251 | − | 5.23100i | −0.496690 | − | 0.167354i | 0.0597970 | − | 0.998211i | \(-0.480955\pi\) |
−0.556487 | + | 0.830856i | \(0.687851\pi\) | |||||||
\(978\) | −9.41302 | + | 5.68165i | −0.300995 | + | 0.181679i | ||||
\(979\) | 8.92804 | − | 6.78692i | 0.285341 | − | 0.216911i | ||||
\(980\) | 7.57516 | + | 3.01822i | 0.241979 | + | 0.0964134i | ||||
\(981\) | −1.87406 | + | 4.08076i | −0.0598342 | + | 0.130288i | ||||
\(982\) | −10.7614 | + | 2.98790i | −0.343411 | + | 0.0953476i | ||||
\(983\) | 45.1559 | − | 9.93957i | 1.44025 | − | 0.317023i | 0.574913 | − | 0.818214i | \(-0.305036\pi\) |
0.865336 | + | 0.501191i | \(0.167105\pi\) | |||||||
\(984\) | 0.106162 | − | 0.316545i | 0.00338431 | − | 0.0100911i | ||||
\(985\) | 5.30826 | + | 13.3227i | 0.169135 | + | 0.424497i | ||||
\(986\) | 4.74795 | − | 8.95558i | 0.151205 | − | 0.285204i | ||||
\(987\) | −1.96214 | + | 0.664192i | −0.0624556 | + | 0.0211415i | ||||
\(988\) | 4.71650 | + | 0.255721i | 0.150052 | + | 0.00813558i | ||||
\(989\) | −10.3183 | − | 2.86486i | −0.328103 | − | 0.0910973i | ||||
\(990\) | −6.85745 | − | 5.79169i | −0.217944 | − | 0.184072i | ||||
\(991\) | −31.8445 | − | 5.22065i | −1.01157 | − | 0.165839i | −0.366871 | − | 0.930272i | \(-0.619571\pi\) |
−0.644704 | + | 0.764433i | \(0.723019\pi\) | |||||||
\(992\) | −0.380944 | + | 3.50272i | −0.0120950 | + | 0.111211i | ||||
\(993\) | 12.4448 | − | 31.3621i | 0.394924 | − | 0.995247i | ||||
\(994\) | −1.40890 | + | 3.04529i | −0.0446876 | + | 0.0965907i | ||||
\(995\) | 20.4769 | + | 17.3932i | 0.649162 | + | 0.551403i | ||||
\(996\) | 15.4846 | + | 18.1780i | 0.490647 | + | 0.575993i | ||||
\(997\) | 15.3907 | + | 22.6995i | 0.487427 | + | 0.718901i | 0.989277 | − | 0.146054i | \(-0.0466572\pi\) |
−0.501849 | + | 0.864955i | \(0.667347\pi\) | |||||||
\(998\) | 2.25571 | + | 13.7592i | 0.0714033 | + | 0.435541i | ||||
\(999\) | −22.2883 | + | 19.0941i | −0.705169 | + | 0.604109i |
(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 | 354.2.g.b.77.10 | yes | 280 | |
3.2 | odd | 2 | 354.2.g.a.77.10 | yes | 280 | ||
59.23 | odd | 58 | 354.2.g.a.23.10 | ✓ | 280 | ||
177.23 | even | 58 | inner | 354.2.g.b.23.10 | yes | 280 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
354.2.g.a.23.10 | ✓ | 280 | 59.23 | odd | 58 | ||
354.2.g.a.77.10 | yes | 280 | 3.2 | odd | 2 | ||
354.2.g.b.23.10 | yes | 280 | 177.23 | even | 58 | inner | |
354.2.g.b.77.10 | yes | 280 | 1.1 | even | 1 | trivial |