Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [315,2,Mod(157,315)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(315, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([4, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("315.157");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 315 = 3^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 315.cg (of order \(12\), degree \(4\), 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: | \(2.51528766367\) |
Analytic rank: | \(0\) |
Dimension: | \(160\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 157.3 | ||
Character | \(\chi\) | \(=\) | 315.157 |
Dual form | 315.2.cg.e.313.3 |
$q$-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 \(\left(\mathbb{Z}/315\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(136\) | \(281\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.57260 | + | 0.689326i | −1.81910 | + | 0.487427i | −0.996678 | − | 0.0814480i | \(-0.974046\pi\) |
−0.822424 | + | 0.568875i | \(0.807379\pi\) | |||||||
\(3\) | −1.64466 | + | 0.543229i | −0.949544 | + | 0.313634i | ||||
\(4\) | 4.41104 | − | 2.54672i | 2.20552 | − | 1.27336i | ||||
\(5\) | 0.495489 | − | 2.18048i | 0.221589 | − | 0.975140i | ||||
\(6\) | 3.85658 | − | 2.53122i | 1.57444 | − | 1.03336i | ||||
\(7\) | 2.23839 | − | 1.41053i | 0.846033 | − | 0.533131i | ||||
\(8\) | −5.82578 | + | 5.82578i | −2.05972 | + | 2.05972i | ||||
\(9\) | 2.40980 | − | 1.78685i | 0.803268 | − | 0.595618i | ||||
\(10\) | 0.228366 | + | 5.95105i | 0.0722158 | + | 1.88189i | ||||
\(11\) | −2.09242 | −0.630889 | −0.315444 | − | 0.948944i | \(-0.602154\pi\) | ||||
−0.315444 | + | 0.948944i | \(0.602154\pi\) | |||||||
\(12\) | −5.87121 | + | 6.58469i | −1.69487 | + | 1.90084i | ||||
\(13\) | −4.20048 | + | 1.12552i | −1.16500 | + | 0.312162i | −0.788963 | − | 0.614441i | \(-0.789382\pi\) |
−0.376041 | + | 0.926603i | \(0.622715\pi\) | |||||||
\(14\) | −4.78617 | + | 5.17171i | −1.27916 | + | 1.38220i | ||||
\(15\) | 0.369591 | + | 3.85531i | 0.0954279 | + | 0.995436i | ||||
\(16\) | 5.87809 | − | 10.1812i | 1.46952 | − | 2.54529i | ||||
\(17\) | −0.0903731 | − | 0.337277i | −0.0219187 | − | 0.0818017i | 0.954100 | − | 0.299488i | \(-0.0968158\pi\) |
−0.976019 | + | 0.217686i | \(0.930149\pi\) | |||||||
\(18\) | −4.96773 | + | 6.25800i | −1.17091 | + | 1.47502i | ||||
\(19\) | −0.0876310 | − | 0.151781i | −0.0201039 | − | 0.0348210i | 0.855798 | − | 0.517309i | \(-0.173066\pi\) |
−0.875902 | + | 0.482488i | \(0.839733\pi\) | |||||||
\(20\) | −3.36744 | − | 10.8801i | −0.752982 | − | 2.43285i | ||||
\(21\) | −2.91515 | + | 3.53580i | −0.636138 | + | 0.771576i | ||||
\(22\) | 5.38296 | − | 1.44236i | 1.14765 | − | 0.307512i | ||||
\(23\) | 4.18313 | − | 4.18313i | 0.872242 | − | 0.872242i | −0.120474 | − | 0.992716i | \(-0.538442\pi\) |
0.992716 | + | 0.120474i | \(0.0384415\pi\) | |||||||
\(24\) | 6.41668 | − | 12.7461i | 1.30980 | − | 2.60180i | ||||
\(25\) | −4.50898 | − | 2.16081i | −0.901796 | − | 0.432161i | ||||
\(26\) | 10.0303 | − | 5.79100i | 1.96710 | − | 1.13571i | ||||
\(27\) | −2.99263 | + | 4.24784i | −0.575932 | + | 0.817497i | ||||
\(28\) | 6.28142 | − | 11.9225i | 1.18708 | − | 2.25313i | ||||
\(29\) | −2.97567 | + | 1.71801i | −0.552569 | + | 0.319026i | −0.750157 | − | 0.661259i | \(-0.770022\pi\) |
0.197589 | + | 0.980285i | \(0.436689\pi\) | |||||||
\(30\) | −3.60837 | − | 9.66339i | −0.658795 | − | 1.76429i | ||||
\(31\) | −1.74113 | + | 1.00524i | −0.312716 | + | 0.180547i | −0.648141 | − | 0.761520i | \(-0.724453\pi\) |
0.335425 | + | 0.942067i | \(0.391120\pi\) | |||||||
\(32\) | −3.83908 | + | 14.3276i | −0.678659 | + | 2.53279i | ||||
\(33\) | 3.44132 | − | 1.13666i | 0.599057 | − | 0.197868i | ||||
\(34\) | 0.464987 | + | 0.805382i | 0.0797447 | + | 0.138122i | ||||
\(35\) | −1.96654 | − | 5.57967i | −0.332405 | − | 0.943137i | ||||
\(36\) | 6.07913 | − | 14.0190i | 1.01319 | − | 2.33650i | ||||
\(37\) | 2.17588 | − | 8.12048i | 0.357712 | − | 1.33500i | −0.519325 | − | 0.854577i | \(-0.673817\pi\) |
0.877037 | − | 0.480422i | \(-0.159517\pi\) | |||||||
\(38\) | 0.330066 | + | 0.330066i | 0.0535438 | + | 0.0535438i | ||||
\(39\) | 6.29695 | − | 4.13291i | 1.00832 | − | 0.661796i | ||||
\(40\) | 9.81638 | + | 15.5896i | 1.55211 | + | 2.46493i | ||||
\(41\) | −6.68940 | − | 3.86213i | −1.04471 | − | 0.603163i | −0.123546 | − | 0.992339i | \(-0.539427\pi\) |
−0.921164 | + | 0.389176i | \(0.872760\pi\) | |||||||
\(42\) | 5.06219 | − | 11.1057i | 0.781113 | − | 1.71364i | ||||
\(43\) | −5.71814 | − | 1.53217i | −0.872009 | − | 0.233654i | −0.205053 | − | 0.978751i | \(-0.565737\pi\) |
−0.666956 | + | 0.745097i | \(0.732403\pi\) | |||||||
\(44\) | −9.22976 | + | 5.32880i | −1.39144 | + | 0.803347i | ||||
\(45\) | −2.70217 | − | 6.13989i | −0.402815 | − | 0.915281i | ||||
\(46\) | −7.87797 | + | 13.6450i | −1.16154 | + | 2.01185i | ||||
\(47\) | 1.46306 | + | 5.46020i | 0.213409 | + | 0.796452i | 0.986721 | + | 0.162427i | \(0.0519321\pi\) |
−0.773312 | + | 0.634026i | \(0.781401\pi\) | |||||||
\(48\) | −4.13675 | + | 19.9377i | −0.597089 | + | 2.87776i | ||||
\(49\) | 3.02080 | − | 6.31465i | 0.431543 | − | 0.902092i | ||||
\(50\) | 13.0893 | + | 2.45073i | 1.85111 | + | 0.346586i | ||||
\(51\) | 0.331852 | + | 0.505612i | 0.0464685 | + | 0.0707999i | ||||
\(52\) | −15.6621 | + | 15.6621i | −2.17195 | + | 2.17195i | ||||
\(53\) | −2.75551 | − | 10.2837i | −0.378498 | − | 1.41258i | −0.848165 | − | 0.529731i | \(-0.822293\pi\) |
0.469667 | − | 0.882844i | \(-0.344374\pi\) | |||||||
\(54\) | 4.77070 | − | 12.9909i | 0.649209 | − | 1.76784i | ||||
\(55\) | −1.03677 | + | 4.56248i | −0.139798 | + | 0.615205i | ||||
\(56\) | −4.82293 | + | 21.2578i | −0.644492 | + | 2.84069i | ||||
\(57\) | 0.226575 | + | 0.202025i | 0.0300106 | + | 0.0267588i | ||||
\(58\) | 6.47095 | − | 6.47095i | 0.849677 | − | 0.849677i | ||||
\(59\) | 2.23760 | + | 3.87563i | 0.291310 | + | 0.504564i | 0.974120 | − | 0.226032i | \(-0.0725754\pi\) |
−0.682809 | + | 0.730596i | \(0.739242\pi\) | |||||||
\(60\) | 11.4487 | + | 16.0647i | 1.47801 | + | 2.07394i | ||||
\(61\) | −11.8498 | − | 6.84149i | −1.51721 | − | 0.875963i | −0.999795 | − | 0.0202290i | \(-0.993560\pi\) |
−0.517416 | − | 0.855734i | \(-0.673106\pi\) | |||||||
\(62\) | 3.78629 | − | 3.78629i | 0.480859 | − | 0.480859i | ||||
\(63\) | 2.87367 | − | 7.39878i | 0.362049 | − | 0.932159i | ||||
\(64\) | − | 15.9932i | − | 1.99915i | ||||||
\(65\) | 0.372872 | + | 9.71674i | 0.0462490 | + | 1.20521i | ||||
\(66\) | −8.06960 | + | 5.29637i | −0.993299 | + | 0.651938i | ||||
\(67\) | −2.05557 | + | 7.67150i | −0.251128 | + | 0.937223i | 0.719075 | + | 0.694932i | \(0.244566\pi\) |
−0.970204 | + | 0.242291i | \(0.922101\pi\) | |||||||
\(68\) | −1.25759 | − | 1.25759i | −0.152505 | − | 0.152505i | ||||
\(69\) | −4.60742 | + | 9.15221i | −0.554668 | + | 1.10180i | ||||
\(70\) | 8.90532 | + | 12.9987i | 1.06439 | + | 1.55364i | ||||
\(71\) | 8.75413 | 1.03892 | 0.519462 | − | 0.854494i | \(-0.326132\pi\) | ||||
0.519462 | + | 0.854494i | \(0.326132\pi\) | |||||||
\(72\) | −3.62917 | + | 24.4488i | −0.427701 | + | 2.88132i | ||||
\(73\) | −5.88063 | + | 1.57571i | −0.688276 | + | 0.184423i | −0.585973 | − | 0.810330i | \(-0.699288\pi\) |
−0.102303 | + | 0.994753i | \(0.532621\pi\) | |||||||
\(74\) | 22.3906i | 2.60286i | ||||||||
\(75\) | 8.58955 | + | 1.10438i | 0.991836 | + | 0.127523i | ||||
\(76\) | −0.773088 | − | 0.446342i | −0.0886792 | − | 0.0511990i | ||||
\(77\) | −4.68366 | + | 2.95143i | −0.533753 | + | 0.336346i | ||||
\(78\) | −13.3506 | + | 14.9730i | −1.51166 | + | 1.69536i | ||||
\(79\) | 4.47031 | + | 2.58094i | 0.502949 | + | 0.290378i | 0.729931 | − | 0.683521i | \(-0.239552\pi\) |
−0.226981 | + | 0.973899i | \(0.572886\pi\) | |||||||
\(80\) | −19.2873 | − | 17.8617i | −2.15638 | − | 1.99700i | ||||
\(81\) | 2.61431 | − | 8.61193i | 0.290479 | − | 0.956882i | ||||
\(82\) | 19.8714 | + | 5.32453i | 2.19443 | + | 0.587996i | ||||
\(83\) | 2.33976 | − | 8.73210i | 0.256822 | − | 0.958472i | −0.710246 | − | 0.703954i | \(-0.751416\pi\) |
0.967068 | − | 0.254519i | \(-0.0819171\pi\) | |||||||
\(84\) | −3.85416 | + | 23.0206i | −0.420523 | + | 2.51176i | ||||
\(85\) | −0.780205 | + | 0.0299397i | −0.0846251 | + | 0.00324741i | ||||
\(86\) | 15.7667 | 1.70016 | ||||||||
\(87\) | 3.96070 | − | 4.44201i | 0.424631 | − | 0.476233i | ||||
\(88\) | 12.1900 | − | 12.1900i | 1.29946 | − | 1.29946i | ||||
\(89\) | −5.78404 | − | 10.0183i | −0.613107 | − | 1.06193i | −0.990713 | − | 0.135967i | \(-0.956586\pi\) |
0.377606 | − | 0.925966i | \(-0.376747\pi\) | |||||||
\(90\) | 11.1840 | + | 13.9328i | 1.17889 | + | 1.46865i | ||||
\(91\) | −7.81475 | + | 8.44426i | −0.819209 | + | 0.885199i | ||||
\(92\) | 7.79871 | − | 29.1052i | 0.813072 | − | 3.03442i | ||||
\(93\) | 2.31749 | − | 2.59911i | 0.240312 | − | 0.269515i | ||||
\(94\) | −7.52772 | − | 13.0384i | −0.776425 | − | 1.34481i | ||||
\(95\) | −0.374376 | + | 0.115872i | −0.0384102 | + | 0.0118882i | ||||
\(96\) | −1.46922 | − | 25.6495i | −0.149952 | − | 2.61785i | ||||
\(97\) | 5.19186 | + | 1.39116i | 0.527154 | + | 0.141250i | 0.512574 | − | 0.858643i | \(-0.328692\pi\) |
0.0145802 | + | 0.999894i | \(0.495359\pi\) | |||||||
\(98\) | −3.41846 | + | 18.3274i | −0.345317 | + | 1.85134i | ||||
\(99\) | −5.04232 | + | 3.73885i | −0.506773 | + | 0.375769i | ||||
\(100\) | −25.3923 | + | 1.95169i | −2.53923 | + | 0.195169i | ||||
\(101\) | 1.28998i | 0.128357i | 0.997938 | + | 0.0641787i | \(0.0204428\pi\) | ||||
−0.997938 | + | 0.0641787i | \(0.979557\pi\) | |||||||
\(102\) | −1.20225 | − | 1.07198i | −0.119041 | − | 0.106142i | ||||
\(103\) | −4.88878 | − | 4.88878i | −0.481706 | − | 0.481706i | 0.423970 | − | 0.905676i | \(-0.360636\pi\) |
−0.905676 | + | 0.423970i | \(0.860636\pi\) | |||||||
\(104\) | 17.9141 | − | 31.0281i | 1.75662 | − | 3.04255i | ||||
\(105\) | 6.26532 | + | 8.10837i | 0.611433 | + | 0.791296i | ||||
\(106\) | 14.1776 | + | 24.5564i | 1.37705 | + | 2.38513i | ||||
\(107\) | 4.20082 | − | 15.6777i | 0.406108 | − | 1.51562i | −0.395894 | − | 0.918296i | \(-0.629565\pi\) |
0.802003 | − | 0.597321i | \(-0.203768\pi\) | |||||||
\(108\) | −2.38258 | + | 26.3588i | −0.229264 | + | 2.53638i | ||||
\(109\) | −0.544147 | − | 0.314163i | −0.0521198 | − | 0.0300914i | 0.473714 | − | 0.880679i | \(-0.342913\pi\) |
−0.525833 | + | 0.850588i | \(0.676246\pi\) | |||||||
\(110\) | −0.477839 | − | 12.4521i | −0.0455601 | − | 1.18726i | ||||
\(111\) | 0.832711 | + | 14.5374i | 0.0790374 | + | 1.37983i | ||||
\(112\) | −1.20336 | − | 31.0807i | −0.113707 | − | 2.93685i | ||||
\(113\) | 1.97548 | + | 7.37261i | 0.185838 | + | 0.693557i | 0.994450 | + | 0.105214i | \(0.0335527\pi\) |
−0.808612 | + | 0.588343i | \(0.799781\pi\) | |||||||
\(114\) | −0.722147 | − | 0.363544i | −0.0676353 | − | 0.0340490i | ||||
\(115\) | −7.04853 | − | 11.1939i | −0.657279 | − | 1.04384i | ||||
\(116\) | −8.75055 | + | 15.1564i | −0.812468 | + | 1.40724i | ||||
\(117\) | −8.11120 | + | 10.2179i | −0.749881 | + | 0.944647i | ||||
\(118\) | −8.42801 | − | 8.42801i | −0.775861 | − | 0.775861i | ||||
\(119\) | −0.678030 | − | 0.627484i | −0.0621549 | − | 0.0575214i | ||||
\(120\) | −24.6133 | − | 20.3070i | −2.24688 | − | 1.85377i | ||||
\(121\) | −6.62177 | −0.601979 | ||||||||
\(122\) | 35.2008 | + | 9.43203i | 3.18693 | + | 0.853935i | ||||
\(123\) | 13.0998 | + | 2.71800i | 1.18117 | + | 0.245074i | ||||
\(124\) | −5.12013 | + | 8.86832i | −0.459801 | + | 0.796399i | ||||
\(125\) | −6.94575 | + | 8.76109i | −0.621246 | + | 0.783615i | ||||
\(126\) | −2.29263 | + | 21.0150i | −0.204244 | + | 1.87216i | ||||
\(127\) | −6.04046 | − | 6.04046i | −0.536004 | − | 0.536004i | 0.386349 | − | 0.922353i | \(-0.373736\pi\) |
−0.922353 | + | 0.386349i | \(0.873736\pi\) | |||||||
\(128\) | 3.34639 | + | 12.4889i | 0.295782 | + | 1.10387i | ||||
\(129\) | 10.2367 | − | 0.586364i | 0.901293 | − | 0.0516265i | ||||
\(130\) | −7.65725 | − | 24.7403i | −0.671585 | − | 2.16986i | ||||
\(131\) | 8.22734i | 0.718826i | 0.933179 | + | 0.359413i | \(0.117023\pi\) | ||||
−0.933179 | + | 0.359413i | \(0.882977\pi\) | |||||||
\(132\) | 12.2850 | − | 13.7779i | 1.06928 | − | 1.19922i | ||||
\(133\) | −0.410245 | − | 0.216140i | −0.0355727 | − | 0.0187417i | ||||
\(134\) | − | 21.1527i | − | 1.82731i | ||||||
\(135\) | 7.77951 | + | 8.63013i | 0.669554 | + | 0.742763i | ||||
\(136\) | 2.49139 | + | 1.43841i | 0.213635 | + | 0.123342i | ||||
\(137\) | 0.00553020 | + | 0.00553020i | 0.000472477 | + | 0.000472477i | 0.707343 | − | 0.706871i | \(-0.249894\pi\) |
−0.706871 | + | 0.707343i | \(0.749894\pi\) | |||||||
\(138\) | 5.54418 | − | 26.7210i | 0.471952 | − | 2.27464i | ||||
\(139\) | −2.56015 | + | 4.43432i | −0.217149 | + | 0.376114i | −0.953935 | − | 0.300012i | \(-0.903009\pi\) |
0.736786 | + | 0.676126i | \(0.236343\pi\) | |||||||
\(140\) | −22.8843 | − | 19.6040i | −1.93408 | − | 1.65684i | ||||
\(141\) | −5.37237 | − | 8.18539i | −0.452435 | − | 0.689334i | ||||
\(142\) | −22.5209 | + | 6.03444i | −1.88991 | + | 0.506399i | ||||
\(143\) | 8.78918 | − | 2.35505i | 0.734988 | − | 0.196939i | ||||
\(144\) | −4.02719 | − | 35.0379i | −0.335599 | − | 2.91982i | ||||
\(145\) | 2.27166 | + | 7.33965i | 0.188651 | + | 0.609525i | ||||
\(146\) | 14.0423 | − | 8.10734i | 1.16215 | − | 0.670968i | ||||
\(147\) | −1.53789 | + | 12.0264i | −0.126843 | + | 0.991923i | ||||
\(148\) | −11.0827 | − | 41.3611i | −0.910991 | − | 3.39986i | ||||
\(149\) | 1.31220i | 0.107500i | 0.998554 | + | 0.0537499i | \(0.0171174\pi\) | ||||
−0.998554 | + | 0.0537499i | \(0.982883\pi\) | |||||||
\(150\) | −22.8587 | + | 3.07988i | −1.86641 | + | 0.251471i | ||||
\(151\) | 16.2800 | 1.32485 | 0.662423 | − | 0.749130i | \(-0.269528\pi\) | ||||
0.662423 | + | 0.749130i | \(0.269528\pi\) | |||||||
\(152\) | 1.39476 | + | 0.373725i | 0.113130 | + | 0.0303131i | ||||
\(153\) | −0.820446 | − | 0.651288i | −0.0663292 | − | 0.0526535i | ||||
\(154\) | 10.0147 | − | 10.8214i | 0.807006 | − | 0.872013i | ||||
\(155\) | 1.32920 | + | 4.29458i | 0.106764 | + | 0.344949i | ||||
\(156\) | 17.2507 | − | 34.2670i | 1.38116 | − | 2.74355i | ||||
\(157\) | 18.8047 | + | 5.03871i | 1.50078 | + | 0.402133i | 0.913361 | − | 0.407150i | \(-0.133477\pi\) |
0.587419 | + | 0.809283i | \(0.300144\pi\) | |||||||
\(158\) | −13.2794 | − | 3.55821i | −1.05645 | − | 0.283076i | ||||
\(159\) | 10.1183 | + | 15.4163i | 0.802432 | + | 1.22259i | ||||
\(160\) | 29.3389 | + | 15.4702i | 2.31944 | + | 1.22303i | ||||
\(161\) | 3.46305 | − | 15.2639i | 0.272926 | − | 1.20296i | ||||
\(162\) | −0.789134 | + | 23.9572i | −0.0620002 | + | 1.88225i | ||||
\(163\) | 5.98242 | + | 1.60298i | 0.468579 | + | 0.125555i | 0.485380 | − | 0.874304i | \(-0.338681\pi\) |
−0.0168007 | + | 0.999859i | \(0.505348\pi\) | |||||||
\(164\) | −39.3430 | −3.07217 | ||||||||
\(165\) | −0.773339 | − | 8.06693i | −0.0602044 | − | 0.628010i | ||||
\(166\) | 24.0770i | 1.86874i | ||||||||
\(167\) | 0.785983 | + | 2.93333i | 0.0608212 | + | 0.226988i | 0.989646 | − | 0.143532i | \(-0.0458461\pi\) |
−0.928824 | + | 0.370520i | \(0.879179\pi\) | |||||||
\(168\) | −3.61579 | − | 37.5818i | −0.278964 | − | 2.89950i | ||||
\(169\) | 5.11893 | − | 2.95542i | 0.393764 | − | 0.227340i | ||||
\(170\) | 1.98651 | − | 0.614838i | 0.152359 | − | 0.0471559i | ||||
\(171\) | −0.482384 | − | 0.209179i | −0.0368889 | − | 0.0159963i | ||||
\(172\) | −29.1250 | + | 7.80401i | −2.22076 | + | 0.595050i | ||||
\(173\) | −12.8230 | + | 3.43590i | −0.974912 | + | 0.261227i | −0.710900 | − | 0.703293i | \(-0.751712\pi\) |
−0.264011 | + | 0.964520i | \(0.585046\pi\) | |||||||
\(174\) | −7.12729 | + | 14.1577i | −0.540318 | + | 1.07329i | ||||
\(175\) | −13.1408 | + | 1.52333i | −0.993348 | + | 0.115153i | ||||
\(176\) | −12.2994 | + | 21.3033i | −0.927106 | + | 1.60579i | ||||
\(177\) | −5.78544 | − | 5.15856i | −0.434860 | − | 0.387741i | ||||
\(178\) | 21.7859 | + | 21.7859i | 1.63292 | + | 1.63292i | ||||
\(179\) | −1.43055 | − | 0.825929i | −0.106924 | − | 0.0617329i | 0.445584 | − | 0.895240i | \(-0.352996\pi\) |
−0.552509 | + | 0.833507i | \(0.686329\pi\) | |||||||
\(180\) | −27.5559 | − | 20.2017i | −2.05390 | − | 1.50574i | ||||
\(181\) | 5.67111i | 0.421530i | 0.977537 | + | 0.210765i | \(0.0675955\pi\) | ||||
−0.977537 | + | 0.210765i | \(0.932405\pi\) | |||||||
\(182\) | 14.2834 | − | 27.1106i | 1.05875 | − | 2.00957i | ||||
\(183\) | 23.2054 | + | 4.81475i | 1.71539 | + | 0.355916i | ||||
\(184\) | 48.7399i | 3.59315i | ||||||||
\(185\) | −16.6284 | − | 8.76806i | −1.22255 | − | 0.644641i | ||||
\(186\) | −4.17033 | + | 8.28397i | −0.305783 | + | 0.607410i | ||||
\(187\) | 0.189099 | + | 0.705726i | 0.0138283 | + | 0.0516078i | ||||
\(188\) | 20.3592 | + | 20.3592i | 1.48485 | + | 1.48485i | ||||
\(189\) | −0.706974 | + | 13.7295i | −0.0514248 | + | 0.998677i | ||||
\(190\) | 0.883246 | − | 0.556158i | 0.0640774 | − | 0.0403479i | ||||
\(191\) | −4.19005 | + | 7.25738i | −0.303181 | + | 0.525126i | −0.976855 | − | 0.213904i | \(-0.931382\pi\) |
0.673673 | + | 0.739029i | \(0.264715\pi\) | |||||||
\(192\) | 8.68799 | + | 26.3034i | 0.627002 | + | 1.89828i | ||||
\(193\) | 16.2306 | + | 4.34897i | 1.16830 | + | 0.313046i | 0.790277 | − | 0.612750i | \(-0.209937\pi\) |
0.378025 | + | 0.925795i | \(0.376603\pi\) | |||||||
\(194\) | −14.3155 | −1.02780 | ||||||||
\(195\) | −5.89167 | − | 15.7782i | −0.421911 | − | 1.12990i | ||||
\(196\) | −2.75673 | − | 35.5473i | −0.196909 | − | 2.53909i | ||||
\(197\) | 17.5339 | + | 17.5339i | 1.24924 | + | 1.24924i | 0.956056 | + | 0.293184i | \(0.0947148\pi\) |
0.293184 | + | 0.956056i | \(0.405285\pi\) | |||||||
\(198\) | 10.3946 | − | 13.0944i | 0.738711 | − | 0.930576i | ||||
\(199\) | 5.14439 | − | 8.91034i | 0.364676 | − | 0.631637i | −0.624048 | − | 0.781386i | \(-0.714513\pi\) |
0.988724 | + | 0.149749i | \(0.0478465\pi\) | |||||||
\(200\) | 38.8567 | − | 13.6799i | 2.74758 | − | 0.967318i | ||||
\(201\) | −0.786670 | − | 13.7337i | −0.0554874 | − | 0.968697i | ||||
\(202\) | −0.889213 | − | 3.31859i | −0.0625648 | − | 0.233495i | ||||
\(203\) | −4.23742 | + | 8.04285i | −0.297409 | + | 0.564498i | ||||
\(204\) | 2.75146 | + | 1.38514i | 0.192641 | + | 0.0969795i | ||||
\(205\) | −11.7358 | + | 12.6725i | −0.819665 | + | 0.885083i | ||||
\(206\) | 15.9468 | + | 9.20691i | 1.11107 | + | 0.641476i | ||||
\(207\) | 2.60588 | − | 17.5551i | 0.181121 | − | 1.22017i | ||||
\(208\) | −13.2318 | + | 49.3816i | −0.917458 | + | 3.42400i | ||||
\(209\) | 0.183361 | + | 0.317590i | 0.0126833 | + | 0.0219682i | ||||
\(210\) | −21.7075 | − | 16.5407i | −1.49796 | − | 1.14142i | ||||
\(211\) | 5.81751 | − | 10.0762i | 0.400494 | − | 0.693675i | −0.593292 | − | 0.804987i | \(-0.702172\pi\) |
0.993785 | + | 0.111312i | \(0.0355053\pi\) | |||||||
\(212\) | −38.3443 | − | 38.3443i | −2.63350 | − | 2.63350i | ||||
\(213\) | −14.3976 | + | 4.75550i | −0.986504 | + | 0.325841i | ||||
\(214\) | 43.2281i | 2.95501i | ||||||||
\(215\) | −6.17415 | + | 11.7091i | −0.421073 | + | 0.798555i | ||||
\(216\) | −7.31256 | − | 42.1814i | −0.497557 | − | 2.87008i | ||||
\(217\) | −2.47941 | + | 4.70604i | −0.168313 | + | 0.319467i | ||||
\(218\) | 1.61643 | + | 0.433122i | 0.109479 | + | 0.0293347i | ||||
\(219\) | 8.81566 | − | 5.78604i | 0.595707 | − | 0.390984i | ||||
\(220\) | 7.04610 | + | 22.7657i | 0.475048 | + | 1.53486i | ||||
\(221\) | 0.759221 | + | 1.31501i | 0.0510708 | + | 0.0884571i | ||||
\(222\) | −12.1632 | − | 36.8249i | −0.816344 | − | 2.47153i | ||||
\(223\) | 2.27363 | − | 8.48531i | 0.152254 | − | 0.568218i | −0.847071 | − | 0.531479i | \(-0.821636\pi\) |
0.999325 | − | 0.0367391i | \(-0.0116970\pi\) | |||||||
\(224\) | 11.6162 | + | 37.4860i | 0.776140 | + | 2.50464i | ||||
\(225\) | −14.7268 | + | 2.84977i | −0.981787 | + | 0.189985i | ||||
\(226\) | −10.1643 | − | 17.6050i | −0.676116 | − | 1.17107i | ||||
\(227\) | −14.2273 | + | 14.2273i | −0.944299 | + | 0.944299i | −0.998528 | − | 0.0542300i | \(-0.982730\pi\) |
0.0542300 | + | 0.998528i | \(0.482730\pi\) | |||||||
\(228\) | 1.51393 | + | 0.314117i | 0.100263 | + | 0.0208029i | ||||
\(229\) | 19.6544 | 1.29880 | 0.649400 | − | 0.760447i | \(-0.275020\pi\) | ||||
0.649400 | + | 0.760447i | \(0.275020\pi\) | |||||||
\(230\) | 25.8493 | + | 23.9387i | 1.70445 | + | 1.57847i | ||||
\(231\) | 6.09972 | − | 7.39839i | 0.401332 | − | 0.486778i | ||||
\(232\) | 7.32689 | − | 27.3443i | 0.481034 | − | 1.79524i | ||||
\(233\) | −3.03747 | − | 0.813887i | −0.198991 | − | 0.0533195i | 0.157947 | − | 0.987448i | \(-0.449513\pi\) |
−0.356938 | + | 0.934128i | \(0.616179\pi\) | |||||||
\(234\) | 13.8234 | − | 31.8779i | 0.903664 | − | 2.08392i | ||||
\(235\) | 12.6308 | − | 0.484696i | 0.823942 | − | 0.0316181i | ||||
\(236\) | 19.7403 | + | 11.3970i | 1.28498 | + | 0.741885i | ||||
\(237\) | −8.75417 | − | 1.81635i | −0.568645 | − | 0.117985i | ||||
\(238\) | 2.17684 | + | 1.14688i | 0.141104 | + | 0.0743413i | ||||
\(239\) | 14.8767 | + | 8.58906i | 0.962293 | + | 0.555580i | 0.896878 | − | 0.442278i | \(-0.145830\pi\) |
0.0654149 | + | 0.997858i | \(0.479163\pi\) | |||||||
\(240\) | 41.4240 | + | 18.8990i | 2.67391 | + | 1.21993i | ||||
\(241\) | − | 19.0807i | − | 1.22910i | −0.788879 | − | 0.614549i | \(-0.789338\pi\) | ||
0.788879 | − | 0.614549i | \(-0.210662\pi\) | |||||||
\(242\) | 17.0352 | − | 4.56456i | 1.09506 | − | 0.293421i | ||||
\(243\) | 0.378614 | + | 15.5839i | 0.0242881 | + | 0.999705i | ||||
\(244\) | −69.6933 | −4.46166 | ||||||||
\(245\) | −12.2722 | − | 9.71563i | −0.784041 | − | 0.620709i | ||||
\(246\) | −35.5741 | + | 2.03770i | −2.26812 | + | 0.129919i | ||||
\(247\) | 0.538924 | + | 0.538924i | 0.0342909 | + | 0.0342909i | ||||
\(248\) | 4.28712 | − | 15.9997i | 0.272232 | − | 1.01598i | ||||
\(249\) | 0.895429 | + | 15.6323i | 0.0567455 | + | 0.990660i | ||||
\(250\) | 11.8294 | − | 27.3266i | 0.748155 | − | 1.72829i | ||||
\(251\) | − | 12.7182i | − | 0.802765i | −0.915911 | − | 0.401383i | \(-0.868530\pi\) | ||
0.915911 | − | 0.401383i | \(-0.131470\pi\) | |||||||
\(252\) | −6.16671 | − | 39.9548i | −0.388466 | − | 2.51691i | ||||
\(253\) | −8.75286 | + | 8.75286i | −0.550288 | + | 0.550288i | ||||
\(254\) | 19.7035 | + | 11.3758i | 1.23631 | + | 0.713783i | ||||
\(255\) | 1.26691 | − | 0.473071i | 0.0793367 | − | 0.0296248i | ||||
\(256\) | −1.22461 | − | 2.12109i | −0.0765381 | − | 0.132568i | ||||
\(257\) | 6.49201 | − | 6.49201i | 0.404961 | − | 0.404961i | −0.475016 | − | 0.879977i | \(-0.657558\pi\) |
0.879977 | + | 0.475016i | \(0.157558\pi\) | |||||||
\(258\) | −25.9308 | + | 8.56491i | −1.61438 | + | 0.533228i | ||||
\(259\) | −6.58373 | − | 21.2460i | −0.409093 | − | 1.32016i | ||||
\(260\) | 26.3905 | + | 41.9114i | 1.63667 | + | 2.59923i | ||||
\(261\) | −4.10096 | + | 9.45715i | −0.253843 | + | 0.585383i | ||||
\(262\) | −5.67132 | − | 21.1656i | −0.350375 | − | 1.30762i | ||||
\(263\) | −6.21759 | + | 6.21759i | −0.383393 | + | 0.383393i | −0.872323 | − | 0.488930i | \(-0.837387\pi\) |
0.488930 | + | 0.872323i | \(0.337387\pi\) | |||||||
\(264\) | −13.4264 | + | 26.6703i | −0.826338 | + | 1.64144i | ||||
\(265\) | −23.7887 | + | 0.912872i | −1.46133 | + | 0.0560773i | ||||
\(266\) | 1.20439 | + | 0.273249i | 0.0738456 | + | 0.0167540i | ||||
\(267\) | 14.9550 | + | 13.3345i | 0.915230 | + | 0.816061i | ||||
\(268\) | 10.4699 | + | 39.0743i | 0.639552 | + | 2.38684i | ||||
\(269\) | 4.81147 | − | 8.33372i | 0.293361 | − | 0.508116i | −0.681241 | − | 0.732059i | \(-0.738560\pi\) |
0.974602 | + | 0.223943i | \(0.0718930\pi\) | |||||||
\(270\) | −25.9625 | − | 16.8392i | −1.58003 | − | 1.02480i | ||||
\(271\) | 16.7652 | − | 9.67937i | 1.01841 | − | 0.587980i | 0.104768 | − | 0.994497i | \(-0.466590\pi\) |
0.913643 | + | 0.406517i | \(0.133257\pi\) | |||||||
\(272\) | −3.96509 | − | 1.06244i | −0.240419 | − | 0.0644201i | ||||
\(273\) | 8.26543 | − | 18.1331i | 0.500247 | − | 1.09747i | ||||
\(274\) | −0.0180391 | − | 0.0104149i | −0.00108978 | − | 0.000629185i | ||||
\(275\) | 9.43469 | + | 4.52132i | 0.568933 | + | 0.272646i | ||||
\(276\) | 2.98458 | + | 52.1046i | 0.179650 | + | 3.13633i | ||||
\(277\) | 11.7662 | + | 11.7662i | 0.706963 | + | 0.706963i | 0.965895 | − | 0.258932i | \(-0.0833707\pi\) |
−0.258932 | + | 0.965895i | \(0.583371\pi\) | |||||||
\(278\) | 3.52956 | − | 13.1725i | 0.211689 | − | 0.790034i | ||||
\(279\) | −2.39956 | + | 5.53358i | −0.143658 | + | 0.331287i | ||||
\(280\) | 43.9625 | + | 21.0493i | 2.62726 | + | 1.25794i | ||||
\(281\) | −5.59203 | − | 9.68569i | −0.333593 | − | 0.577800i | 0.649621 | − | 0.760258i | \(-0.274928\pi\) |
−0.983213 | + | 0.182459i | \(0.941594\pi\) | |||||||
\(282\) | 19.4634 | + | 17.3544i | 1.15903 | + | 1.03344i | ||||
\(283\) | −3.22794 | + | 12.0468i | −0.191881 | + | 0.716111i | 0.801171 | + | 0.598436i | \(0.204211\pi\) |
−0.993052 | + | 0.117675i | \(0.962456\pi\) | |||||||
\(284\) | 38.6148 | − | 22.2943i | 2.29137 | − | 1.32292i | ||||
\(285\) | 0.552776 | − | 0.393941i | 0.0327436 | − | 0.0233351i | ||||
\(286\) | −20.9876 | + | 12.1172i | −1.24102 | + | 0.716506i | ||||
\(287\) | −20.4212 | + | 0.790653i | −1.20542 | + | 0.0466708i | ||||
\(288\) | 16.3500 | + | 41.3866i | 0.963430 | + | 2.43873i | ||||
\(289\) | 14.6168 | − | 8.43904i | 0.859814 | − | 0.496414i | ||||
\(290\) | −10.9035 | − | 17.3160i | −0.640275 | − | 1.01683i | ||||
\(291\) | −9.29456 | + | 0.532397i | −0.544857 | + | 0.0312097i | ||||
\(292\) | −21.9268 | + | 21.9268i | −1.28317 | + | 1.28317i | ||||
\(293\) | 2.41356 | − | 0.646712i | 0.141002 | − | 0.0377813i | −0.187628 | − | 0.982240i | \(-0.560080\pi\) |
0.328630 | + | 0.944459i | \(0.393413\pi\) | |||||||
\(294\) | −4.33376 | − | 31.9993i | −0.252750 | − | 1.86624i | ||||
\(295\) | 9.55944 | − | 2.95870i | 0.556572 | − | 0.172262i | ||||
\(296\) | 34.6319 | + | 59.9843i | 2.01294 | + | 3.48652i | ||||
\(297\) | 6.26185 | − | 8.88827i | 0.363349 | − | 0.515750i | ||||
\(298\) | −0.904535 | − | 3.37577i | −0.0523983 | − | 0.195553i | ||||
\(299\) | −12.8630 | + | 22.2793i | −0.743885 | + | 1.28845i | ||||
\(300\) | 40.7014 | − | 17.0037i | 2.34990 | − | 0.981708i | ||||
\(301\) | −14.9606 | + | 4.63602i | −0.862316 | + | 0.267216i | ||||
\(302\) | −41.8818 | + | 11.2222i | −2.41003 | + | 0.645765i | ||||
\(303\) | −0.700753 | − | 2.12157i | −0.0402572 | − | 0.121881i | ||||
\(304\) | −2.06041 | −0.118173 | ||||||||
\(305\) | −20.7892 | + | 22.4484i | −1.19038 | + | 1.28539i | ||||
\(306\) | 2.55963 | + | 1.10995i | 0.146324 | + | 0.0634515i | ||||
\(307\) | −8.07444 | + | 8.07444i | −0.460833 | + | 0.460833i | −0.898928 | − | 0.438096i | \(-0.855653\pi\) |
0.438096 | + | 0.898928i | \(0.355653\pi\) | |||||||
\(308\) | −13.1434 | + | 24.9468i | −0.748913 | + | 1.42148i | ||||
\(309\) | 10.6961 | + | 5.38465i | 0.608480 | + | 0.306322i | ||||
\(310\) | −6.37986 | − | 10.1320i | −0.362352 | − | 0.575458i | ||||
\(311\) | −14.2279 | + | 8.21447i | −0.806789 | + | 0.465800i | −0.845839 | − | 0.533438i | \(-0.820900\pi\) |
0.0390508 | + | 0.999237i | \(0.487567\pi\) | |||||||
\(312\) | −12.6072 | + | 60.7620i | −0.713740 | + | 3.43997i | ||||
\(313\) | −26.6648 | + | 7.14481i | −1.50718 | + | 0.403848i | −0.915498 | − | 0.402322i | \(-0.868203\pi\) |
−0.591684 | + | 0.806170i | \(0.701537\pi\) | |||||||
\(314\) | −51.8503 | −2.92608 | ||||||||
\(315\) | −14.7090 | − | 9.93200i | −0.828760 | − | 0.559605i | ||||
\(316\) | 26.2916 | 1.47902 | ||||||||
\(317\) | 12.0653 | − | 3.23289i | 0.677655 | − | 0.181577i | 0.0964546 | − | 0.995337i | \(-0.469250\pi\) |
0.581201 | + | 0.813760i | \(0.302583\pi\) | |||||||
\(318\) | −36.6571 | − | 32.6852i | −2.05563 | − | 1.83289i | ||||
\(319\) | 6.22636 | − | 3.59479i | 0.348609 | − | 0.201270i | ||||
\(320\) | −34.8729 | − | 7.92447i | −1.94945 | − | 0.442991i | ||||
\(321\) | 1.60766 | + | 28.0664i | 0.0897307 | + | 1.56651i | ||||
\(322\) | 1.61277 | + | 41.6551i | 0.0898764 | + | 2.32135i | ||||
\(323\) | −0.0432729 | + | 0.0432729i | −0.00240777 | + | 0.00240777i | ||||
\(324\) | −10.4003 | − | 44.6455i | −0.577796 | − | 2.48031i | ||||
\(325\) | 21.3719 | + | 4.00150i | 1.18550 | + | 0.221963i | ||||
\(326\) | −16.4953 | −0.913592 | ||||||||
\(327\) | 1.06560 | + | 0.221095i | 0.0589277 | + | 0.0122266i | ||||
\(328\) | 61.4709 | − | 16.4711i | 3.39416 | − | 0.909463i | ||||
\(329\) | 10.9767 | + | 10.1584i | 0.605164 | + | 0.560050i | ||||
\(330\) | 7.55023 | + | 20.2199i | 0.415627 | + | 1.11307i | ||||
\(331\) | 5.65050 | − | 9.78696i | 0.310580 | − | 0.537940i | −0.667908 | − | 0.744244i | \(-0.732810\pi\) |
0.978488 | + | 0.206304i | \(0.0661435\pi\) | |||||||
\(332\) | −11.9174 | − | 44.4764i | −0.654052 | − | 2.44096i | ||||
\(333\) | −9.26668 | − | 23.4567i | −0.507811 | − | 1.28542i | ||||
\(334\) | −4.04404 | − | 7.00448i | −0.221280 | − | 0.383268i | ||||
\(335\) | 15.7090 | + | 8.28328i | 0.858277 | + | 0.452564i | ||||
\(336\) | 18.8630 | + | 50.4634i | 1.02906 | + | 2.75300i | ||||
\(337\) | 3.35535 | − | 0.899064i | 0.182778 | − | 0.0489752i | −0.166269 | − | 0.986080i | \(-0.553172\pi\) |
0.349047 | + | 0.937105i | \(0.386505\pi\) | |||||||
\(338\) | −11.1317 | + | 11.1317i | −0.605485 | + | 0.605485i | ||||
\(339\) | −7.25401 | − | 11.0523i | −0.393984 | − | 0.600278i | ||||
\(340\) | −3.36527 | + | 2.11902i | −0.182507 | + | 0.114920i | ||||
\(341\) | 3.64318 | − | 2.10339i | 0.197289 | − | 0.113905i | ||||
\(342\) | 1.38517 | + | 0.205614i | 0.0749016 | + | 0.0111184i | ||||
\(343\) | −2.14526 | − | 18.3956i | −0.115833 | − | 0.993269i | ||||
\(344\) | 42.2387 | − | 24.3865i | 2.27736 | − | 1.31483i | ||||
\(345\) | 17.6733 | + | 14.5812i | 0.951498 | + | 0.785025i | ||||
\(346\) | 30.6199 | − | 17.6784i | 1.64613 | − | 0.950396i | ||||
\(347\) | 7.68120 | − | 28.6666i | 0.412348 | − | 1.53891i | −0.377739 | − | 0.925912i | \(-0.623298\pi\) |
0.790088 | − | 0.612994i | \(-0.210035\pi\) | |||||||
\(348\) | 6.15826 | − | 29.6806i | 0.330118 | − | 1.59105i | ||||
\(349\) | −9.76543 | − | 16.9142i | −0.522732 | − | 0.905398i | −0.999650 | − | 0.0264501i | \(-0.991580\pi\) |
0.476919 | − | 0.878947i | \(-0.341754\pi\) | |||||||
\(350\) | 32.7558 | − | 12.9772i | 1.75087 | − | 0.693659i | ||||
\(351\) | 7.78949 | − | 21.2112i | 0.415772 | − | 1.13217i | ||||
\(352\) | 8.03296 | − | 29.9794i | 0.428158 | − | 1.59791i | ||||
\(353\) | 6.88547 | + | 6.88547i | 0.366476 | + | 0.366476i | 0.866190 | − | 0.499714i | \(-0.166562\pi\) |
−0.499714 | + | 0.866190i | \(0.666562\pi\) | |||||||
\(354\) | 18.4395 | + | 9.28286i | 0.980051 | + | 0.493378i | ||||
\(355\) | 4.33757 | − | 19.0882i | 0.230214 | − | 1.01310i | ||||
\(356\) | −51.0273 | − | 29.4606i | −2.70444 | − | 1.56141i | ||||
\(357\) | 1.45600 | + | 0.663671i | 0.0770595 | + | 0.0351252i | ||||
\(358\) | 4.24957 | + | 1.13867i | 0.224597 | + | 0.0601805i | ||||
\(359\) | −6.98363 | + | 4.03200i | −0.368582 | + | 0.212801i | −0.672839 | − | 0.739789i | \(-0.734925\pi\) |
0.304257 | + | 0.952590i | \(0.401592\pi\) | |||||||
\(360\) | 51.5119 | + | 20.0274i | 2.71491 | + | 1.05554i | ||||
\(361\) | 9.48464 | − | 16.4279i | 0.499192 | − | 0.864625i | ||||
\(362\) | −3.90924 | − | 14.5895i | −0.205465 | − | 0.766806i | ||||
\(363\) | 10.8906 | − | 3.59714i | 0.571606 | − | 0.188801i | ||||
\(364\) | −12.9661 | + | 57.1499i | −0.679607 | + | 2.99547i | ||||
\(365\) | 0.522017 | + | 13.6033i | 0.0273236 | + | 0.712032i | ||||
\(366\) | −63.0170 | + | 3.60965i | −3.29395 | + | 0.188679i | ||||
\(367\) | 2.90777 | − | 2.90777i | 0.151784 | − | 0.151784i | −0.627130 | − | 0.778914i | \(-0.715771\pi\) |
0.778914 | + | 0.627130i | \(0.215771\pi\) | |||||||
\(368\) | −18.0003 | − | 67.1779i | −0.938328 | − | 3.50189i | ||||
\(369\) | −23.0212 | + | 2.64601i | −1.19844 | + | 0.137746i | ||||
\(370\) | 48.8223 | + | 11.0943i | 2.53815 | + | 0.576766i | ||||
\(371\) | −20.6734 | − | 19.1322i | −1.07331 | − | 0.993296i | ||||
\(372\) | 3.60333 | − | 17.3668i | 0.186824 | − | 0.900425i | ||||
\(373\) | 4.51088 | − | 4.51088i | 0.233564 | − | 0.233564i | −0.580614 | − | 0.814179i | \(-0.697188\pi\) |
0.814179 | + | 0.580614i | \(0.197188\pi\) | |||||||
\(374\) | −0.972950 | − | 1.68520i | −0.0503100 | − | 0.0871395i | ||||
\(375\) | 6.66410 | − | 18.1821i | 0.344133 | − | 0.938921i | ||||
\(376\) | −40.3334 | − | 23.2865i | −2.08003 | − | 1.20091i | ||||
\(377\) | 10.5656 | − | 10.5656i | 0.544157 | − | 0.544157i | ||||
\(378\) | −7.64536 | − | 35.8079i | −0.393235 | − | 1.84176i | ||||
\(379\) | − | 1.63911i | − | 0.0841953i | −0.999114 | − | 0.0420977i | \(-0.986596\pi\) | ||
0.999114 | − | 0.0420977i | \(-0.0134041\pi\) | |||||||
\(380\) | −1.35630 | + | 1.46454i | −0.0695765 | + | 0.0751295i | ||||
\(381\) | 13.2158 | + | 6.65314i | 0.677068 | + | 0.340851i | ||||
\(382\) | 5.77662 | − | 21.5586i | 0.295558 | − | 1.10304i | ||||
\(383\) | 16.3064 | + | 16.3064i | 0.833219 | + | 0.833219i | 0.987956 | − | 0.154737i | \(-0.0494529\pi\) |
−0.154737 | + | 0.987956i | \(0.549453\pi\) | |||||||
\(384\) | −12.2880 | − | 18.7221i | −0.627070 | − | 0.955409i | ||||
\(385\) | 4.11482 | + | 11.6750i | 0.209711 | + | 0.595014i | ||||
\(386\) | −44.7526 | −2.27785 | ||||||||
\(387\) | −16.5174 | + | 6.52525i | −0.839625 | + | 0.331697i | ||||
\(388\) | 26.4444 | − | 7.08576i | 1.34251 | − | 0.359725i | ||||
\(389\) | − | 33.7370i | − | 1.71053i | −0.518190 | − | 0.855266i | \(-0.673394\pi\) | ||
0.518190 | − | 0.855266i | \(-0.326606\pi\) | |||||||
\(390\) | 26.0332 | + | 36.5296i | 1.31824 | + | 1.84975i | ||||
\(391\) | −1.78891 | − | 1.03283i | −0.0904693 | − | 0.0522325i | ||||
\(392\) | 19.1892 | + | 54.3862i | 0.969201 | + | 2.74692i | ||||
\(393\) | −4.46933 | − | 13.5312i | −0.225448 | − | 0.682557i | ||||
\(394\) | −57.1943 | − | 33.0211i | −2.88141 | − | 1.66358i | ||||
\(395\) | 7.84267 | − | 8.46860i | 0.394607 | − | 0.426101i | ||||
\(396\) | −12.7201 | + | 29.3336i | −0.639210 | + | 1.47407i | ||||
\(397\) | −4.48097 | − | 1.20067i | −0.224893 | − | 0.0602600i | 0.144613 | − | 0.989488i | \(-0.453806\pi\) |
−0.369506 | + | 0.929228i | \(0.620473\pi\) | |||||||
\(398\) | −7.09232 | + | 26.4689i | −0.355506 | + | 1.32677i | ||||
\(399\) | 0.792126 | + | 0.132619i | 0.0396559 | + | 0.00663927i | ||||
\(400\) | −48.5037 | + | 33.2052i | −2.42519 | + | 1.66026i | ||||
\(401\) | −7.47774 | −0.373420 | −0.186710 | − | 0.982415i | \(-0.559783\pi\) | ||||
−0.186710 | + | 0.982415i | \(0.559783\pi\) | |||||||
\(402\) | 11.4907 | + | 34.7889i | 0.573106 | + | 1.73511i | ||||
\(403\) | 6.18217 | − | 6.18217i | 0.307956 | − | 0.307956i | ||||
\(404\) | 3.28520 | + | 5.69014i | 0.163445 | + | 0.283095i | ||||
\(405\) | −17.4828 | − | 9.96756i | −0.868727 | − | 0.495292i | ||||
\(406\) | 5.35705 | − | 23.6120i | 0.265866 | − | 1.17184i | ||||
\(407\) | −4.55285 | + | 16.9915i | −0.225676 | + | 0.842236i | ||||
\(408\) | −4.87888 | − | 1.01229i | −0.241540 | − | 0.0501158i | ||||
\(409\) | 4.66678 | + | 8.08310i | 0.230757 | + | 0.399684i | 0.958031 | − | 0.286664i | \(-0.0925463\pi\) |
−0.727274 | + | 0.686347i | \(0.759213\pi\) | |||||||
\(410\) | 21.4561 | − | 40.6910i | 1.05964 | − | 2.00958i | ||||
\(411\) | −0.0120995 | − | 0.00609112i | −0.000596822 | − | 0.000300453i | ||||
\(412\) | −34.0149 | − | 9.11428i | −1.67580 | − | 0.449028i | ||||
\(413\) | 10.4753 | + | 5.51899i | 0.515457 | + | 0.271572i | ||||
\(414\) | 5.39734 | + | 46.9586i | 0.265265 | + | 2.30789i | ||||
\(415\) | −17.8808 | − | 9.42845i | −0.877736 | − | 0.462825i | ||||
\(416\) | − | 64.5039i | − | 3.16256i | ||||||
\(417\) | 1.80173 | − | 8.68369i | 0.0882310 | − | 0.425242i | ||||
\(418\) | −0.690637 | − | 0.690637i | −0.0337802 | − | 0.0337802i | ||||
\(419\) | 3.06061 | − | 5.30113i | 0.149520 | − | 0.258977i | −0.781530 | − | 0.623868i | \(-0.785560\pi\) |
0.931050 | + | 0.364891i | \(0.118894\pi\) | |||||||
\(420\) | 48.2863 | + | 19.8104i | 2.35613 | + | 0.966648i | ||||
\(421\) | 12.5061 | + | 21.6612i | 0.609510 | + | 1.05570i | 0.991321 | + | 0.131461i | \(0.0419669\pi\) |
−0.381812 | + | 0.924240i | \(0.624700\pi\) | |||||||
\(422\) | −8.02031 | + | 29.9322i | −0.390423 | + | 1.45708i | ||||
\(423\) | 13.2823 | + | 10.5437i | 0.645806 | + | 0.512655i | ||||
\(424\) | 75.9635 | + | 43.8576i | 3.68911 | + | 2.12991i | ||||
\(425\) | −0.321300 | + | 1.71605i | −0.0155853 | + | 0.0832409i | ||||
\(426\) | 33.7610 | − | 22.1586i | 1.63573 | − | 1.07359i | ||||
\(427\) | −36.1746 | + | 1.40059i | −1.75061 | + | 0.0677791i | ||||
\(428\) | −21.3966 | − | 79.8531i | −1.03424 | − | 3.85985i | ||||
\(429\) | −13.1759 | + | 8.64780i | −0.636137 | + | 0.417520i | ||||
\(430\) | 7.81220 | − | 34.3789i | 0.376738 | − | 1.65790i | ||||
\(431\) | −13.9494 | + | 24.1611i | −0.671921 | + | 1.16380i | 0.305438 | + | 0.952212i | \(0.401197\pi\) |
−0.977359 | + | 0.211589i | \(0.932136\pi\) | |||||||
\(432\) | 25.6570 | + | 55.4377i | 1.23442 | + | 2.66725i | ||||
\(433\) | −9.92080 | − | 9.92080i | −0.476763 | − | 0.476763i | 0.427332 | − | 0.904095i | \(-0.359454\pi\) |
−0.904095 | + | 0.427332i | \(0.859454\pi\) | |||||||
\(434\) | 3.13452 | − | 13.8159i | 0.150462 | − | 0.663183i | ||||
\(435\) | −7.72322 | − | 10.8372i | −0.370300 | − | 0.519603i | ||||
\(436\) | −3.20034 | −0.153268 | ||||||||
\(437\) | −1.00149 | − | 0.268349i | −0.0479078 | − | 0.0128369i | ||||
\(438\) | −18.6907 | + | 20.9620i | −0.893075 | + | 1.00160i | ||||
\(439\) | 9.05953 | − | 15.6916i | 0.432388 | − | 0.748917i | −0.564691 | − | 0.825303i | \(-0.691005\pi\) |
0.997078 | + | 0.0763852i | \(0.0243379\pi\) | |||||||
\(440\) | −20.5400 | − | 32.6200i | −0.979206 | − | 1.55510i | ||||
\(441\) | −4.00381 | − | 20.6148i | −0.190658 | − | 0.981657i | ||||
\(442\) | −2.85964 | − | 2.85964i | −0.136019 | − | 0.136019i | ||||
\(443\) | −4.58111 | − | 17.0969i | −0.217655 | − | 0.812299i | −0.985215 | − | 0.171322i | \(-0.945196\pi\) |
0.767560 | − | 0.640977i | \(-0.221471\pi\) | |||||||
\(444\) | 40.6958 | + | 62.0045i | 1.93134 | + | 2.94260i | ||||
\(445\) | −24.7105 | + | 7.64805i | −1.17139 | + | 0.362552i | ||||
\(446\) | 23.3966i | 1.10786i | ||||||||
\(447\) | −0.712827 | − | 2.15812i | −0.0337156 | − | 0.102076i | ||||
\(448\) | −22.5589 | − | 35.7991i | −1.06581 | − | 1.69135i | ||||
\(449\) | − | 7.52058i | − | 0.354918i | −0.984128 | − | 0.177459i | \(-0.943212\pi\) | ||
0.984128 | − | 0.177459i | \(-0.0567878\pi\) | |||||||
\(450\) | 35.9217 | − | 17.4829i | 1.69337 | − | 0.824151i | ||||
\(451\) | 13.9971 | + | 8.08120i | 0.659095 | + | 0.380529i | ||||
\(452\) | 27.4899 | + | 27.4899i | 1.29302 | + | 1.29302i | ||||
\(453\) | −26.7750 | + | 8.84376i | −1.25800 | + | 0.415516i | ||||
\(454\) | 26.7939 | − | 46.4083i | 1.25750 | − | 2.17805i | ||||
\(455\) | 14.5404 | + | 21.2239i | 0.681665 | + | 0.994994i | ||||
\(456\) | −2.49693 | + | 0.143025i | −0.116929 | + | 0.00669777i | ||||
\(457\) | 35.5685 | − | 9.53054i | 1.66382 | − | 0.445820i | 0.700388 | − | 0.713762i | \(-0.253010\pi\) |
0.963435 | + | 0.267942i | \(0.0863436\pi\) | |||||||
\(458\) | −50.5629 | + | 13.5483i | −2.36265 | + | 0.633070i | ||||
\(459\) | 1.70315 | + | 0.625456i | 0.0794964 | + | 0.0291938i | ||||
\(460\) | −59.5991 | − | 31.4262i | −2.77882 | − | 1.46526i | ||||
\(461\) | 21.2129 | − | 12.2473i | 0.987984 | − | 0.570413i | 0.0833128 | − | 0.996523i | \(-0.473450\pi\) |
0.904671 | + | 0.426111i | \(0.140117\pi\) | |||||||
\(462\) | −10.5922 | + | 23.2378i | −0.492795 | + | 1.08112i | ||||
\(463\) | 1.03447 | + | 3.86069i | 0.0480759 | + | 0.179422i | 0.985789 | − | 0.167990i | \(-0.0537275\pi\) |
−0.937713 | + | 0.347411i | \(0.887061\pi\) | |||||||
\(464\) | 40.3944i | 1.87526i | ||||||||
\(465\) | −4.51902 | − | 6.34106i | −0.209565 | − | 0.294060i | ||||
\(466\) | 8.37522 | 0.387974 | ||||||||
\(467\) | 23.0508 | + | 6.17645i | 1.06667 | + | 0.285812i | 0.749122 | − | 0.662432i | \(-0.230475\pi\) |
0.317543 | + | 0.948244i | \(0.397142\pi\) | |||||||
\(468\) | −9.75672 | + | 65.7286i | −0.451005 | + | 3.03831i | ||||
\(469\) | 6.21972 | + | 20.0713i | 0.287200 | + | 0.926806i | ||||
\(470\) | −32.1598 | + | 9.95365i | −1.48342 | + | 0.459128i | ||||
\(471\) | −33.6645 | + | 1.92832i | −1.55118 | + | 0.0888524i | ||||
\(472\) | −35.6143 | − | 9.54282i | −1.63928 | − | 0.439244i | ||||
\(473\) | 11.9648 | + | 3.20595i | 0.550141 | + | 0.147410i | ||||
\(474\) | 23.7730 | − | 1.36173i | 1.09193 | − | 0.0625464i | ||||
\(475\) | 0.0671564 | + | 0.873732i | 0.00308134 | + | 0.0400896i | ||||
\(476\) | −4.58884 | − | 1.04111i | −0.210329 | − | 0.0477191i | ||||
\(477\) | −25.0157 | − | 19.8580i | −1.14539 | − | 0.909236i | ||||
\(478\) | −44.1924 | − | 11.8413i | −2.02131 | − | 0.541609i | ||||
\(479\) | −11.5176 | −0.526254 | −0.263127 | − | 0.964761i | \(-0.584754\pi\) | ||||
−0.263127 | + | 0.964761i | \(0.584754\pi\) | |||||||
\(480\) | −56.6563 | − | 9.50547i | −2.58599 | − | 0.433863i | ||||
\(481\) | 36.5589i | 1.66694i | ||||||||
\(482\) | 13.1528 | + | 49.0870i | 0.599095 | + | 2.23585i | ||||
\(483\) | 2.59627 | + | 26.9852i | 0.118135 | + | 1.22787i | ||||
\(484\) | −29.2089 | + | 16.8638i | −1.32768 | + | 0.766535i | ||||
\(485\) | 5.60590 | − | 10.6314i | 0.254551 | − | 0.482749i | ||||
\(486\) | −11.7164 | − | 39.8300i | −0.531466 | − | 1.80673i | ||||
\(487\) | −30.9084 | + | 8.28189i | −1.40060 | + | 0.375288i | −0.878559 | − | 0.477635i | \(-0.841494\pi\) |
−0.522037 | + | 0.852923i | \(0.674828\pi\) | |||||||
\(488\) | 108.891 | − | 29.1773i | 4.92928 | − | 1.32080i | ||||
\(489\) | −10.7098 | + | 0.613464i | −0.484315 | + | 0.0277418i | ||||
\(490\) | 38.2686 | + | 16.5349i | 1.72880 | + | 0.746970i | ||||
\(491\) | 6.94331 | − | 12.0262i | 0.313347 | − | 0.542733i | −0.665738 | − | 0.746186i | \(-0.731883\pi\) |
0.979085 | + | 0.203453i | \(0.0652164\pi\) | |||||||
\(492\) | 64.7058 | − | 21.3723i | 2.91716 | − | 0.963536i | ||||
\(493\) | 0.848365 | + | 0.848365i | 0.0382084 | + | 0.0382084i | ||||
\(494\) | −1.75793 | − | 1.01494i | −0.0790930 | − | 0.0456644i | ||||
\(495\) | 5.65407 | + | 12.8472i | 0.254132 | + | 0.577441i | ||||
\(496\) | 23.6356i | 1.06127i | ||||||||
\(497\) | 19.5952 | − | 12.3480i | 0.878964 | − | 0.553882i | ||||
\(498\) | −13.0794 | − | 39.5985i | −0.586100 | − | 1.77445i | ||||
\(499\) | 0.600952i | 0.0269023i | 0.999910 | + | 0.0134511i | \(0.00428176\pi\) | ||||
−0.999910 | + | 0.0134511i | \(0.995718\pi\) | |||||||
\(500\) | −8.32597 | + | 56.3344i | −0.372349 | + | 2.51935i | ||||
\(501\) | −2.88614 | − | 4.39735i | −0.128943 | − | 0.196459i | ||||
\(502\) | 8.76697 | + | 32.7188i | 0.391289 | + | 1.46031i | ||||
\(503\) | 26.3959 | + | 26.3959i | 1.17694 | + | 1.17694i | 0.980521 | + | 0.196416i | \(0.0629303\pi\) |
0.196416 | + | 0.980521i | \(0.437070\pi\) | |||||||
\(504\) | 26.3623 | + | 59.8450i | 1.17427 | + | 2.66571i | ||||
\(505\) | 2.81277 | + | 0.639169i | 0.125166 | + | 0.0284426i | ||||
\(506\) | 16.4840 | − | 28.5512i | 0.732804 | − | 1.26925i | ||||
\(507\) | −6.81342 | + | 7.64140i | −0.302595 | + | 0.339367i | ||||
\(508\) | −42.0280 | − | 11.2614i | −1.86469 | − | 0.499643i | ||||
\(509\) | −26.0687 | −1.15547 | −0.577737 | − | 0.816223i | \(-0.696064\pi\) | ||||
−0.577737 | + | 0.816223i | \(0.696064\pi\) | |||||||
\(510\) | −2.93314 | + | 2.09033i | −0.129882 | + | 0.0925614i | ||||
\(511\) | −10.9406 | + | 11.8219i | −0.483982 | + | 0.522969i | ||||
\(512\) | −13.6725 | − | 13.6725i | −0.604243 | − | 0.604243i | ||||
\(513\) | 0.906990 | + | 0.0819832i | 0.0400446 | + | 0.00361965i | ||||
\(514\) | −12.2262 | + | 21.1765i | −0.539276 | + | 0.934053i | ||||
\(515\) | −13.0822 | + | 8.23755i | −0.576472 | + | 0.362990i | ||||
\(516\) | 43.6613 | − | 28.6565i | 1.92208 | − | 1.26153i | ||||
\(517\) | −3.06133 | − | 11.4250i | −0.134637 | − | 0.502473i | ||||
\(518\) | 31.5827 | + | 50.1190i | 1.38766 | + | 2.20210i | ||||
\(519\) | 19.2229 | − | 12.6167i | 0.843792 | − | 0.553812i | ||||
\(520\) | −58.7798 | − | 54.4353i | −2.57767 | − | 2.38715i | ||||
\(521\) | 14.1763 | + | 8.18471i | 0.621077 | + | 0.358579i | 0.777288 | − | 0.629145i | \(-0.216595\pi\) |
−0.156211 | + | 0.987724i | \(0.549928\pi\) | |||||||
\(522\) | 4.03107 | − | 27.1563i | 0.176435 | − | 1.18860i | ||||
\(523\) | 2.28723 | − | 8.53604i | 0.100013 | − | 0.373255i | −0.897718 | − | 0.440570i | \(-0.854776\pi\) |
0.997732 | + | 0.0673147i | \(0.0214431\pi\) | |||||||
\(524\) | 20.9527 | + | 36.2911i | 0.915323 | + | 1.58539i | ||||
\(525\) | 20.7845 | − | 9.64380i | 0.907112 | − | 0.420890i | ||||
\(526\) | 11.7094 | − | 20.2813i | 0.510555 | − | 0.884306i | ||||
\(527\) | 0.496396 | + | 0.496396i | 0.0216234 | + | 0.0216234i | ||||
\(528\) | 8.65583 | − | 41.7180i | 0.376697 | − | 1.81554i | ||||
\(529\) | − | 11.9971i | − | 0.521613i | ||||||
\(530\) | 60.5696 | − | 18.7466i | 2.63097 | − | 0.814302i | ||||
\(531\) | 12.3174 | + | 5.34125i | 0.534528 | + | 0.231791i | ||||
\(532\) | −2.36005 | + | 0.0913750i | −0.102321 | + | 0.00396161i | ||||
\(533\) | 32.4456 | + | 8.69377i | 1.40538 | + | 0.376569i | ||||
\(534\) | −47.6650 | − | 23.9956i | −2.06267 | − | 1.03839i | ||||
\(535\) | −32.1034 | − | 16.9279i | −1.38795 | − | 0.731857i | ||||
\(536\) | −32.7171 | − | 56.6678i | −1.41317 | − | 2.44767i | ||||
\(537\) | 2.80144 | + | 0.581254i | 0.120891 | + | 0.0250830i | ||||
\(538\) | −6.63335 | + | 24.7560i | −0.285984 | + | 1.06731i | ||||
\(539\) | −6.32079 | + | 13.2129i | −0.272256 | + | 0.569120i | ||||
\(540\) | 56.2942 | + | 18.2557i | 2.42252 | + | 0.785598i | ||||
\(541\) | 9.94619 | + | 17.2273i | 0.427620 | + | 0.740660i | 0.996661 | − | 0.0816494i | \(-0.0260188\pi\) |
−0.569041 | + | 0.822309i | \(0.692685\pi\) | |||||||
\(542\) | −36.4578 | + | 36.4578i | −1.56600 | + | 1.56600i | ||||
\(543\) | −3.08071 | − | 9.32703i | −0.132206 | − | 0.400261i | ||||
\(544\) | 5.17933 | 0.222062 | ||||||||
\(545\) | −0.954645 | + | 1.03084i | −0.0408925 | + | 0.0441562i | ||||
\(546\) | −8.76400 | + | 52.3468i | −0.375065 | + | 2.24024i | ||||
\(547\) | −3.60865 | + | 13.4677i | −0.154295 | + | 0.575836i | 0.844870 | + | 0.534972i | \(0.179678\pi\) |
−0.999165 | + | 0.0408640i | \(0.986989\pi\) | |||||||
\(548\) | 0.0384778 | + | 0.0103101i | 0.00164369 | + | 0.000440425i | ||||
\(549\) | −40.7804 | + | 4.68723i | −1.74047 | + | 0.200046i | ||||
\(550\) | −27.3883 | − | 5.12796i | −1.16784 | − | 0.218657i | ||||
\(551\) | 0.521522 | + | 0.301101i | 0.0222176 | + | 0.0128273i | ||||
\(552\) | −26.4770 | − | 80.1605i | −1.12693 | − | 3.41186i | ||||
\(553\) | 13.6468 | − | 0.528368i | 0.580321 | − | 0.0224685i | ||||
\(554\) | −38.3805 | − | 22.1590i | −1.63063 | − | 0.941445i | ||||
\(555\) | 32.1111 | + | 5.38742i | 1.36304 | + | 0.228683i | ||||
\(556\) | 26.0799i | 1.10604i | ||||||||
\(557\) | −27.7228 | + | 7.42830i | −1.17465 | + | 0.314747i | −0.792803 | − | 0.609478i | \(-0.791379\pi\) |
−0.381849 | + | 0.924225i | \(0.624712\pi\) | |||||||
\(558\) | 2.35867 | − | 15.8898i | 0.0998503 | − | 0.672667i | ||||
\(559\) | 25.7434 | 1.08883 | ||||||||
\(560\) | −68.3670 | − | 12.7762i | −2.88903 | − | 0.539894i | ||||
\(561\) | −0.694374 | − | 1.05795i | −0.0293165 | − | 0.0446669i | ||||
\(562\) | 21.0626 | + | 21.0626i | 0.888474 | + | 0.888474i | ||||
\(563\) | −0.829419 | + | 3.09543i | −0.0349558 | + | 0.130457i | −0.981199 | − | 0.193000i | \(-0.938178\pi\) |
0.946243 | + | 0.323457i | \(0.104845\pi\) | |||||||
\(564\) | −44.5436 | − | 22.4242i | −1.87563 | − | 0.944229i | ||||
\(565\) | 17.0546 | − | 0.654457i | 0.717495 | − | 0.0275332i | ||||
\(566\) | − | 33.2168i | − | 1.39621i | ||||||
\(567\) | −6.29556 | − | 22.9644i | −0.264389 | − | 0.964416i | ||||
\(568\) | −50.9996 | + | 50.9996i | −2.13990 | + | 2.13990i | ||||
\(569\) | 7.84811 | + | 4.53111i | 0.329010 | + | 0.189954i | 0.655401 | − | 0.755281i | \(-0.272499\pi\) |
−0.326392 | + | 0.945235i | \(0.605833\pi\) | |||||||
\(570\) | −1.15052 | + | 1.39450i | −0.0481898 | + | 0.0584090i | ||||
\(571\) | 17.0833 | + | 29.5892i | 0.714916 | + | 1.23827i | 0.962992 | + | 0.269530i | \(0.0868683\pi\) |
−0.248076 | + | 0.968741i | \(0.579798\pi\) | |||||||
\(572\) | 32.7718 | − | 32.7718i | 1.37026 | − | 1.37026i | ||||
\(573\) | 2.94878 | − | 14.2121i | 0.123187 | − | 0.593718i | ||||
\(574\) | 51.9904 | − | 16.1109i | 2.17004 | − | 0.672455i | ||||
\(575\) | −27.9006 | + | 9.82271i | −1.16353 | + | 0.409635i | ||||
\(576\) | −28.5776 | − | 38.5405i | −1.19073 | − | 1.60586i | ||||
\(577\) | −0.134829 | − | 0.503189i | −0.00561301 | − | 0.0209480i | 0.963063 | − | 0.269278i | \(-0.0867850\pi\) |
−0.968676 | + | 0.248330i | \(0.920118\pi\) | |||||||
\(578\) | −31.7860 | + | 31.7860i | −1.32212 | + | 1.32212i | ||||
\(579\) | −29.0562 | + | 1.66436i | −1.20754 | + | 0.0691683i | ||||
\(580\) | 28.7124 | + | 26.5902i | 1.19222 | + | 1.10410i | ||||
\(581\) | −7.07960 | − | 22.8462i | −0.293711 | − | 0.947819i | ||||
\(582\) | 23.5442 | − | 7.77662i | 0.975937 | − | 0.322351i | ||||
\(583\) | 5.76569 | + | 21.5178i | 0.238790 | + | 0.891178i | ||||
\(584\) | 25.0795 | − | 43.4390i | 1.03780 | − | 1.79752i | ||||
\(585\) | 18.2610 | + | 22.7492i | 0.754997 | + | 0.940563i | ||||
\(586\) | −5.76333 | + | 3.32746i | −0.238081 | + | 0.137456i | ||||
\(587\) | 6.17874 | + | 1.65559i | 0.255024 | + | 0.0683335i | 0.384066 | − | 0.923306i | \(-0.374524\pi\) |
−0.129042 | + | 0.991639i | \(0.541190\pi\) | |||||||
\(588\) | 23.8442 | + | 56.9656i | 0.983318 | + | 2.34922i | ||||
\(589\) | 0.305154 | + | 0.176181i | 0.0125736 | + | 0.00725939i | ||||
\(590\) | −22.5531 | + | 14.2011i | −0.928496 | + | 0.584651i | ||||
\(591\) | −38.3622 | − | 19.3124i | −1.57801 | − | 0.794405i | ||||
\(592\) | −69.8859 | − | 69.8859i | −2.87229 | − | 2.87229i | ||||
\(593\) | 7.52786 | − | 28.0943i | 0.309132 | − | 1.15370i | −0.620198 | − | 0.784445i | \(-0.712948\pi\) |
0.929330 | − | 0.369251i | \(-0.120386\pi\) | |||||||
\(594\) | −9.98231 | + | 27.1824i | −0.409579 | + | 1.11531i | ||||
\(595\) | −1.70417 | + | 1.16752i | −0.0698643 | + | 0.0478636i | ||||
\(596\) | 3.34181 | + | 5.78818i | 0.136886 | + | 0.237093i | ||||
\(597\) | −3.62040 | + | 17.4490i | −0.148173 | + | 0.714142i | ||||
\(598\) | 17.7336 | − | 66.1825i | 0.725179 | − | 2.70640i | ||||
\(599\) | −36.6284 | + | 21.1474i | −1.49660 | + | 0.864060i | −0.999992 | − | 0.00391694i | \(-0.998753\pi\) |
−0.496604 | + | 0.867977i | \(0.665420\pi\) | |||||||
\(600\) | −56.4746 | + | 43.6069i | −2.30557 | + | 1.78025i | ||||
\(601\) | 11.9452 | − | 6.89657i | 0.487255 | − | 0.281317i | −0.236180 | − | 0.971709i | \(-0.575895\pi\) |
0.723435 | + | 0.690392i | \(0.242562\pi\) | |||||||
\(602\) | 35.2920 | − | 22.2394i | 1.43839 | − | 0.906409i | ||||
\(603\) | 8.75433 | + | 22.1598i | 0.356504 | + | 0.902418i | ||||
\(604\) | 71.8117 | − | 41.4605i | 2.92198 | − | 1.68700i | ||||
\(605\) | −3.28102 | + | 14.4386i | −0.133392 | + | 0.587014i | ||||
\(606\) | 3.26521 | + | 4.97490i | 0.132640 | + | 0.202092i | ||||
\(607\) | 18.6847 | − | 18.6847i | 0.758389 | − | 0.758389i | −0.217640 | − | 0.976029i | \(-0.569836\pi\) |
0.976029 | + | 0.217640i | \(0.0698360\pi\) | |||||||
\(608\) | 2.51109 | − | 0.672844i | 0.101838 | − | 0.0272874i | ||||
\(609\) | 2.60000 | − | 15.5296i | 0.105357 | − | 0.629293i | ||||
\(610\) | 38.0079 | − | 72.0812i | 1.53890 | − | 2.91848i | ||||
\(611\) | −12.2911 | − | 21.2888i | −0.497244 | − | 0.861252i | ||||
\(612\) | −5.27767 | − | 0.783414i | −0.213337 | − | 0.0316677i | ||||
\(613\) | 5.44734 | + | 20.3297i | 0.220016 | + | 0.821110i | 0.984340 | + | 0.176278i | \(0.0564059\pi\) |
−0.764325 | + | 0.644832i | \(0.776927\pi\) | |||||||
\(614\) | 15.2064 | − | 26.3382i | 0.613680 | − | 1.06292i | ||||
\(615\) | 12.4174 | − | 27.2171i | 0.500716 | − | 1.09750i | ||||
\(616\) | 10.0916 | − | 44.4803i | 0.406602 | − | 1.79216i | ||||
\(617\) | 4.40269 | − | 1.17970i | 0.177245 | − | 0.0474928i | −0.169105 | − | 0.985598i | \(-0.554088\pi\) |
0.346350 | + | 0.938105i | \(0.387421\pi\) | |||||||
\(618\) | −31.2286 | − | 6.47943i | −1.25620 | − | 0.260641i | ||||
\(619\) | 31.6009 | 1.27015 | 0.635075 | − | 0.772451i | \(-0.280969\pi\) | ||||
0.635075 | + | 0.772451i | \(0.280969\pi\) | |||||||
\(620\) | 16.8002 | + | 15.5585i | 0.674713 | + | 0.624844i | ||||
\(621\) | 5.25070 | + | 30.2878i | 0.210703 | + | 1.21541i | ||||
\(622\) | 30.9402 | − | 30.9402i | 1.24059 | − | 1.24059i | ||||
\(623\) | −27.0780 | − | 14.2662i | −1.08486 | − | 0.571564i | ||||
\(624\) | −5.06381 | − | 88.4038i | −0.202715 | − | 3.53899i | ||||
\(625\) | 15.6618 | + | 19.4861i | 0.626473 | + | 0.779443i | ||||
\(626\) | 63.6727 | − | 36.7614i | 2.54487 | − | 1.46928i | ||||
\(627\) | −0.474090 | − | 0.422721i | −0.0189333 | − | 0.0168818i | ||||
\(628\) | 95.7806 | − | 25.6643i | 3.82206 | − | 1.02412i | ||||
\(629\) | −2.93549 | −0.117046 | ||||||||
\(630\) | 44.6868 | + | 15.4117i | 1.78036 | + | 0.614018i | ||||
\(631\) | 18.8298 | 0.749601 | 0.374801 | − | 0.927105i | \(-0.377711\pi\) | ||||
0.374801 | + | 0.927105i | \(0.377711\pi\) | |||||||
\(632\) | −41.0790 | + | 11.0071i | −1.63403 | + | 0.437838i | ||||
\(633\) | −4.09411 | + | 19.7322i | −0.162726 | + | 0.784284i | ||||
\(634\) | −28.8107 | + | 16.6339i | −1.14422 | + | 0.660615i | ||||
\(635\) | −16.1641 | + | 10.1781i | −0.641452 | + | 0.403906i | ||||
\(636\) | 83.8931 | + | 42.2336i | 3.32658 | + | 1.67467i | ||||
\(637\) | −5.58159 | + | 29.9245i | −0.221151 | + | 1.18565i | ||||
\(638\) | −13.5399 | + | 13.5399i | −0.536052 | + | 0.536052i | ||||
\(639\) | 21.0957 | − | 15.6423i | 0.834534 | − | 0.618802i | ||||
\(640\) | 28.8899 | − | 1.10862i | 1.14197 | − | 0.0438222i | ||||
\(641\) | 6.41578 | 0.253408 | 0.126704 | − | 0.991941i | \(-0.459560\pi\) | ||||
0.126704 | + | 0.991941i | \(0.459560\pi\) | |||||||
\(642\) | −23.4828 | − | 71.0954i | −0.926790 | − | 2.80591i | ||||
\(643\) | −35.6805 | + | 9.56055i | −1.40710 | + | 0.377031i | −0.880889 | − | 0.473323i | \(-0.843054\pi\) |
−0.526211 | + | 0.850354i | \(0.676388\pi\) | |||||||
\(644\) | −23.5972 | − | 76.1491i | −0.929860 | − | 3.00070i | ||||
\(645\) | 3.79362 | − | 22.6115i | 0.149374 | − | 0.890326i | ||||
\(646\) | 0.0814946 | − | 0.141153i | 0.00320636 | − | 0.00555358i | ||||
\(647\) | 2.18921 | + | 8.17026i | 0.0860669 | + | 0.321206i | 0.995514 | − | 0.0946134i | \(-0.0301615\pi\) |
−0.909447 | + | 0.415819i | \(0.863495\pi\) | |||||||
\(648\) | 34.9408 | + | 65.4016i | 1.37261 | + | 2.56922i | ||||
\(649\) | −4.68200 | − | 8.10946i | −0.183784 | − | 0.318324i | ||||
\(650\) | −57.7397 | + | 4.43796i | −2.26474 | + | 0.174071i | ||||
\(651\) | 1.52132 | − | 9.08672i | 0.0596251 | − | 0.356137i | ||||
\(652\) | 30.4710 | − | 8.16469i | 1.19334 | − | 0.319754i | ||||
\(653\) | 17.0688 | − | 17.0688i | 0.667953 | − | 0.667953i | −0.289289 | − | 0.957242i | \(-0.593419\pi\) |
0.957242 | + | 0.289289i | \(0.0934187\pi\) | |||||||
\(654\) | −2.89376 | + | 0.165756i | −0.113155 | + | 0.00648158i | ||||
\(655\) | 17.9395 | + | 4.07656i | 0.700956 | + | 0.159284i | ||||
\(656\) | −78.6419 | + | 45.4039i | −3.07045 | + | 1.77272i | ||||
\(657\) | −11.3556 | + | 14.3050i | −0.443024 | + | 0.558091i | ||||
\(658\) | −35.2410 | − | 18.5669i | −1.37384 | − | 0.723815i | ||||
\(659\) | −10.8461 | + | 6.26202i | −0.422505 | + | 0.243934i | −0.696149 | − | 0.717898i | \(-0.745105\pi\) |
0.273643 | + | 0.961831i | \(0.411771\pi\) | |||||||
\(660\) | −23.9554 | − | 33.6141i | −0.932463 | − | 1.30843i | ||||
\(661\) | 26.9754 | − | 15.5742i | 1.04922 | − | 0.605768i | 0.126790 | − | 0.991930i | \(-0.459533\pi\) |
0.922431 | + | 0.386162i | \(0.126199\pi\) | |||||||
\(662\) | −7.79008 | + | 29.0730i | −0.302770 | + | 1.12995i | ||||
\(663\) | −1.96301 | − | 1.75031i | −0.0762371 | − | 0.0679764i | ||||
\(664\) | 37.2403 | + | 64.5022i | 1.44521 | + | 2.50317i | ||||
\(665\) | −0.674560 | + | 0.787435i | −0.0261583 | + | 0.0305354i | ||||
\(666\) | 40.0088 | + | 53.9570i | 1.55031 | + | 2.09079i | ||||
\(667\) | −5.26098 | + | 19.6343i | −0.203706 | + | 0.760241i | ||||
\(668\) | 10.9374 | + | 10.9374i | 0.423179 | + | 0.423179i | ||||
\(669\) | 0.870122 | + | 15.1905i | 0.0336409 | + | 0.587300i | ||||
\(670\) | −46.1229 | − | 10.4809i | −1.78188 | − | 0.404913i | ||||
\(671\) | 24.7948 | + | 14.3153i | 0.957192 | + | 0.552635i | ||||
\(672\) | −39.4682 | − | 55.3414i | −1.52252 | − | 2.13484i | ||||
\(673\) | −32.0495 | − | 8.58763i | −1.23542 | − | 0.331029i | −0.418730 | − | 0.908111i | \(-0.637525\pi\) |
−0.816686 | + | 0.577082i | \(0.804191\pi\) | |||||||
\(674\) | −8.01223 | + | 4.62586i | −0.308620 | + | 0.178182i | ||||
\(675\) | 22.6725 | − | 12.6869i | 0.872664 | − | 0.488320i | ||||
\(676\) | 15.0532 | − | 26.0729i | 0.578970 | − | 1.00280i | ||||
\(677\) | −2.42156 | − | 9.03739i | −0.0930682 | − | 0.347335i | 0.903651 | − | 0.428269i | \(-0.140876\pi\) |
−0.996719 | + | 0.0809338i | \(0.974210\pi\) | |||||||
\(678\) | 26.2803 | + | 23.4327i | 1.00929 | + | 0.899927i | ||||
\(679\) | 13.5837 | − | 4.20933i | 0.521294 | − | 0.161539i | ||||
\(680\) | 4.37088 | − | 4.71972i | 0.167615 | − | 0.180993i | ||||
\(681\) | 15.6704 | − | 31.1277i | 0.600489 | − | 1.19282i | ||||
\(682\) | −7.92251 | + | 7.92251i | −0.303369 | + | 0.303369i | ||||
\(683\) | 2.31157 | + | 8.62689i | 0.0884497 | + | 0.330099i | 0.995945 | − | 0.0899633i | \(-0.0286750\pi\) |
−0.907495 | + | 0.420062i | \(0.862008\pi\) | |||||||
\(684\) | −2.66054 | + | 0.305797i | −0.101728 | + | 0.0116924i | ||||
\(685\) | 0.0147986 | − | 0.00931833i | 0.000565427 | − | 0.000356035i | ||||
\(686\) | 18.1995 | + | 45.8457i | 0.694859 | + | 1.75040i | ||||
\(687\) | −32.3248 | + | 10.6769i | −1.23327 | + | 0.407347i | ||||
\(688\) | −49.2111 | + | 49.2111i | −1.87615 | + | 1.87615i | ||||
\(689\) | 23.1489 | + | 40.0951i | 0.881904 | + | 1.52750i | ||||
\(690\) | −55.5175 | − | 25.3289i | −2.11351 | − | 0.964255i | ||||
\(691\) | 10.8032 | + | 6.23721i | 0.410972 | + | 0.237275i | 0.691207 | − | 0.722657i | \(-0.257079\pi\) |
−0.280235 | + | 0.959931i | \(0.590412\pi\) | |||||||
\(692\) | −47.8124 | + | 47.8124i | −1.81755 | + | 1.81755i | ||||
\(693\) | −6.01293 | + | 15.4814i | −0.228412 | + | 0.588089i | ||||
\(694\) | 79.0426i | 3.00042i | ||||||||
\(695\) | 8.40041 | + | 7.77952i | 0.318646 | + | 0.295094i | ||||
\(696\) | 2.80401 | + | 48.9523i | 0.106286 | + | 1.85553i | ||||
\(697\) | −0.698065 | + | 2.60522i | −0.0264411 | + | 0.0986796i | ||||
\(698\) | 36.7819 | + | 36.7819i | 1.39222 | + | 1.39222i | ||||
\(699\) | 5.43773 | − | 0.311476i | 0.205674 | − | 0.0117811i | ||||
\(700\) | −54.0849 | + | 40.1852i | −2.04422 | + | 1.51886i | ||||
\(701\) | −15.6309 | −0.590370 | −0.295185 | − | 0.955440i | \(-0.595381\pi\) | ||||
−0.295185 | + | 0.955440i | \(0.595381\pi\) | |||||||
\(702\) | −5.41777 | + | 59.9375i | −0.204481 | + | 2.26219i | ||||
\(703\) | −1.42321 | + | 0.381348i | −0.0536774 | + | 0.0143828i | ||||
\(704\) | 33.4646i | 1.26124i | ||||||||
\(705\) | −20.5100 | + | 7.65857i | −0.772453 | + | 0.288439i | ||||
\(706\) | −22.4599 | − | 12.9672i | −0.845288 | − | 0.488027i | ||||
\(707\) | 1.81955 | + | 2.88747i | 0.0684313 | + | 0.108595i | ||||
\(708\) | −38.6572 | − | 8.02076i | −1.45283 | − | 0.301439i | ||||
\(709\) | −38.1533 | − | 22.0278i | −1.43288 | − | 0.827271i | −0.435537 | − | 0.900171i | \(-0.643441\pi\) |
−0.997339 | + | 0.0728998i | \(0.976775\pi\) | |||||||
\(710\) | 1.99915 | + | 52.0963i | 0.0750267 | + | 1.95514i | ||||
\(711\) | 15.3843 | − | 1.76825i | 0.576957 | − | 0.0663144i | ||||
\(712\) | 92.0606 | + | 24.6676i | 3.45012 | + | 0.924456i | ||||
\(713\) | −3.07831 | + | 11.4884i | −0.115284 | + | 0.430245i | ||||
\(714\) | −4.20318 | − | 0.703704i | −0.157300 | − | 0.0263355i | ||||
\(715\) | −0.780205 | − | 20.3315i | −0.0291780 | − | 0.760356i | ||||
\(716\) | −8.41363 | −0.314432 | ||||||||
\(717\) | −29.1329 | − | 6.04462i | −1.08799 | − | 0.225740i | ||||
\(718\) | 15.1867 | − | 15.1867i | 0.566763 | − | 0.566763i | ||||
\(719\) | −3.47663 | − | 6.02170i | −0.129656 | − | 0.224572i | 0.793887 | − | 0.608065i | \(-0.208054\pi\) |
−0.923543 | + | 0.383494i | \(0.874721\pi\) | |||||||
\(720\) | −78.3948 | − | 8.57968i | −2.92160 | − | 0.319746i | ||||
\(721\) | −17.8388 | − | 4.04723i | −0.664351 | − | 0.150727i | ||||
\(722\) | −13.0760 | + | 48.8003i | −0.486639 | + | 1.81616i | ||||
\(723\) | 10.3652 | + | 31.3813i | 0.385486 | + | 1.16708i | ||||
\(724\) | 14.4427 | + | 25.0155i | 0.536759 | + | 0.929693i | ||||
\(725\) | 17.1295 | − | 1.31660i | 0.636175 | − | 0.0488973i | ||||
\(726\) | −25.5374 | + | 16.7611i | −0.947783 | + | 0.622064i | ||||
\(727\) | −4.22952 | − | 1.13330i | −0.156864 | − | 0.0420316i | 0.179532 | − | 0.983752i | \(-0.442542\pi\) |
−0.336396 | + | 0.941720i | \(0.609208\pi\) | |||||||
\(728\) | −3.66736 | − | 94.7213i | −0.135921 | − | 3.51061i | ||||
\(729\) | −9.08830 | − | 25.4245i | −0.336604 | − | 0.941646i | ||||
\(730\) | −10.7201 | − | 34.6361i | −0.396768 | − | 1.28194i | ||||
\(731\) | 2.06707i | 0.0764532i | ||||||||
\(732\) | 114.622 | − | 37.8595i | 4.23654 | − | 1.39933i | ||||
\(733\) | −4.24778 | − | 4.24778i | −0.156895 | − | 0.156895i | 0.624294 | − | 0.781189i | \(-0.285387\pi\) |
−0.781189 | + | 0.624294i | \(0.785387\pi\) | |||||||
\(734\) | −5.47612 | + | 9.48492i | −0.202127 | + | 0.350095i | ||||
\(735\) | 25.4614 | + | 9.31229i | 0.939157 | + | 0.343489i | ||||
\(736\) | 43.8749 | + | 75.9936i | 1.61725 | + | 2.80116i | ||||
\(737\) | 4.30112 | − | 16.0520i | 0.158434 | − | 0.591284i | ||||
\(738\) | 57.4004 | − | 22.6762i | 2.11294 | − | 0.834724i | ||||
\(739\) | −15.5963 | − | 9.00451i | −0.573718 | − | 0.331236i | 0.184915 | − | 0.982755i | \(-0.440799\pi\) |
−0.758633 | + | 0.651518i | \(0.774132\pi\) | |||||||
\(740\) | −95.6784 | + | 3.67158i | −3.51721 | + | 0.134970i | ||||
\(741\) | −1.17911 | − | 0.593587i | −0.0433156 | − | 0.0218060i | ||||
\(742\) | 66.3727 | + | 34.9688i | 2.43662 | + | 1.28375i | ||||
\(743\) | −12.6602 | − | 47.2483i | −0.464456 | − | 1.73337i | −0.658687 | − | 0.752417i | \(-0.728888\pi\) |
0.194231 | − | 0.980956i | \(-0.437779\pi\) | |||||||
\(744\) | 1.64069 | + | 28.6430i | 0.0601504 | + | 1.05010i | ||||
\(745\) | 2.86123 | + | 0.650182i | 0.104827 | + | 0.0238208i | ||||
\(746\) | −8.49521 | + | 14.7141i | −0.311032 | + | 0.538723i | ||||
\(747\) | −9.96463 | − | 25.2235i | −0.364587 | − | 0.922878i | ||||
\(748\) | 2.63140 | + | 2.63140i | 0.0962137 | + | 0.0962137i | ||||
\(749\) | −12.7108 | − | 41.0181i | −0.464441 | − | 1.49877i | ||||
\(750\) | −4.61065 | + | 51.3690i | −0.168357 | + | 1.87573i | ||||
\(751\) | −27.0371 | −0.986598 | −0.493299 | − | 0.869860i | \(-0.664209\pi\) | ||||
−0.493299 | + | 0.869860i | \(0.664209\pi\) | |||||||
\(752\) | 64.1911 | + | 17.2000i | 2.34081 | + | 0.627218i | ||||
\(753\) | 6.90890 | + | 20.9171i | 0.251774 | + | 0.762261i | ||||
\(754\) | −19.8979 | + | 34.4642i | −0.724640 | + | 1.25511i | ||||
\(755\) | 8.06655 | − | 35.4982i | 0.293572 | − | 1.29191i | ||||
\(756\) | 31.8467 | + | 62.3620i | 1.15825 | + | 2.26808i | ||||
\(757\) | −23.8708 | − | 23.8708i | −0.867599 | − | 0.867599i | 0.124607 | − | 0.992206i | \(-0.460233\pi\) |
−0.992206 | + | 0.124607i | \(0.960233\pi\) | |||||||
\(758\) | 1.12988 | + | 4.21677i | 0.0410390 | + | 0.153160i | ||||
\(759\) | 9.64066 | − | 19.1503i | 0.349934 | − | 0.695111i | ||||
\(760\) | 1.50599 | − | 2.85607i | 0.0546280 | − | 0.103601i | ||||
\(761\) | 31.6363i | 1.14681i | 0.819270 | + | 0.573407i | \(0.194379\pi\) | ||||
−0.819270 | + | 0.573407i | \(0.805621\pi\) | |||||||
\(762\) | −38.5852 | − | 8.00583i | −1.39780 | − | 0.290021i | ||||
\(763\) | −1.66115 | + | 0.0643153i | −0.0601377 | + | 0.00232837i | ||||
\(764\) | 42.6835i | 1.54423i | ||||||||
\(765\) | −1.82664 | + | 1.46626i | −0.0660424 | + | 0.0530128i | ||||
\(766\) | −53.1903 | − | 30.7094i | −1.92184 | − | 1.10958i | ||||
\(767\) | −13.7611 | − | 13.7611i | −0.496884 | − | 0.496884i | ||||
\(768\) | 3.16630 | + | 2.82322i | 0.114254 | + | 0.101874i | ||||
\(769\) | 10.4173 | − | 18.0434i | 0.375659 | − | 0.650660i | −0.614767 | − | 0.788709i | \(-0.710750\pi\) |
0.990425 | + | 0.138049i | \(0.0440832\pi\) | |||||||
\(770\) | −18.6337 | − | 27.1987i | −0.671511 | − | 0.980173i | ||||
\(771\) | −7.15049 | + | 14.2038i | −0.257519 | + | 0.511537i | ||||
\(772\) | 82.6693 | − | 22.1512i | 2.97533 | − | 0.797239i | ||||
\(773\) | −11.3310 | + | 3.03612i | −0.407546 | + | 0.109202i | −0.456767 | − | 0.889586i | \(-0.650993\pi\) |
0.0492210 | + | 0.998788i | \(0.484326\pi\) | |||||||
\(774\) | 37.9945 | − | 28.1727i | 1.36569 | − | 1.01265i | ||||
\(775\) | 10.0229 | − | 0.770371i | 0.360031 | − | 0.0276725i | ||||
\(776\) | −38.3512 | + | 22.1421i | −1.37673 | + | 0.794854i | ||||
\(777\) | 22.3694 | + | 31.3659i | 0.802499 | + | 1.12524i | ||||
\(778\) | 23.2557 | + | 86.7916i | 0.833759 | + | 3.11163i | ||||
\(779\) | 1.35377i | 0.0485038i | ||||||||
\(780\) | −66.1709 | − | 54.5938i | −2.36930 | − | 1.95477i | ||||
\(781\) | −18.3173 | −0.655445 | ||||||||
\(782\) | 5.31412 | + | 1.42391i | 0.190032 | + | 0.0509190i | ||||
\(783\) | 1.60728 | − | 17.7815i | 0.0574396 | − | 0.635461i | ||||
\(784\) | −46.5338 | − | 67.8733i | −1.66192 | − | 2.42405i | ||||
\(785\) | 20.3043 | − | 38.5067i | 0.724693 | − | 1.37436i | ||||
\(786\) | 20.8252 | + | 31.7294i | 0.742810 | + | 1.13175i | ||||
\(787\) | 47.6413 | + | 12.7654i | 1.69823 | + | 0.455039i | 0.972493 | − | 0.232934i | \(-0.0748325\pi\) |
0.725737 | + | 0.687973i | \(0.241499\pi\) | |||||||
\(788\) | 121.997 | + | 32.6889i | 4.34595 | + | 1.16449i | ||||
\(789\) | 6.84823 | − | 13.6034i | 0.243803 | − | 0.484293i | ||||
\(790\) | −14.3384 | + | 27.1924i | −0.510138 | + | 0.967464i | ||||
\(791\) | 14.8212 | + | 13.7163i | 0.526981 | + | 0.487696i | ||||
\(792\) | 7.59374 | − | 51.1572i | 0.269832 | − | 1.81779i | ||||
\(793\) | 57.4751 | + | 15.4004i | 2.04100 | + | 0.546884i | ||||
\(794\) | 12.3554 | 0.438476 | ||||||||
\(795\) | 38.6284 | − | 14.4241i | 1.37001 | − | 0.511570i | ||||
\(796\) | − | 52.4052i | − | 1.85745i | ||||||
\(797\) | −13.1827 | − | 49.1987i | −0.466957 | − | 1.74271i | −0.650320 | − | 0.759661i | \(-0.725365\pi\) |
0.183363 | − | 0.983045i | \(-0.441302\pi\) | |||||||
\(798\) | −2.12924 | + | 0.204857i | −0.0753743 | + | 0.00725185i | ||||
\(799\) | 1.70938 | − | 0.986911i | 0.0604735 | − | 0.0349144i | ||||
\(800\) | 48.2695 | − | 56.3075i | 1.70659 | − | 1.99077i | ||||
\(801\) | −31.8396 | − | 13.8068i | −1.12500 | − | 0.487839i | ||||
\(802\) | 19.2372 | − | 5.15460i | 0.679290 | − | 0.182015i | ||||
\(803\) | 12.3048 | − | 3.29705i | 0.434226 | − | 0.116350i | ||||
\(804\) | −38.4457 | − | 58.5763i | −1.35588 | − | 2.06583i | ||||
\(805\) | −31.5667 | − | 15.1142i | −1.11258 | − | 0.532706i | ||||
\(806\) | −11.6427 | + | 20.1658i | −0.410097 | + | 0.710309i | ||||
\(807\) | −3.38611 | + | 16.3199i | −0.119197 | + | 0.574486i | ||||
\(808\) | −7.51511 | − | 7.51511i | −0.264381 | − | 0.264381i | ||||
\(809\) | −4.79775 | − | 2.76998i | −0.168680 | − | 0.0973874i | 0.413283 | − | 0.910603i | \(-0.364382\pi\) |
−0.581963 | + | 0.813215i | \(0.697715\pi\) | |||||||
\(810\) | 51.8471 | + | 13.5912i | 1.82172 | + | 0.477546i | ||||
\(811\) | 31.8893i | 1.11979i | 0.828565 | + | 0.559893i | \(0.189158\pi\) | ||||
−0.828565 | + | 0.559893i | \(0.810842\pi\) | |||||||
\(812\) | 1.79141 | + | 46.2689i | 0.0628661 | + | 1.62372i | ||||
\(813\) | −22.3148 | + | 25.0266i | −0.782616 | + | 0.877721i | ||||
\(814\) | − | 46.8506i | − | 1.64211i | ||||||
\(815\) | 6.45949 | − | 12.2503i | 0.226266 | − | 0.429108i | ||||
\(816\) | 7.09837 | − | 0.406598i | 0.248493 | − | 0.0142338i | ||||
\(817\) | 0.268531 | + | 1.00217i | 0.00939472 | + | 0.0350616i | ||||
\(818\) | −17.5776 | − | 17.5776i | −0.614588 | − | 0.614588i | ||||
\(819\) | −3.74336 | + | 34.3128i | −0.130804 | + | 1.19899i | ||||
\(820\) | −19.4940 | + | 85.7866i | −0.680760 | + | 2.99580i | ||||
\(821\) | −16.0170 | + | 27.7423i | −0.558997 | + | 0.968211i | 0.438583 | + | 0.898690i | \(0.355480\pi\) |
−0.997581 | + | 0.0695208i | \(0.977853\pi\) | |||||||
\(822\) | 0.0353258 | + | 0.00732954i | 0.00123213 | + | 0.000255647i | ||||
\(823\) | −29.0495 | − | 7.78380i | −1.01260 | − | 0.271326i | −0.285887 | − | 0.958263i | \(-0.592288\pi\) |
−0.726717 | + | 0.686937i | \(0.758955\pi\) | |||||||
\(824\) | 56.9619 | 1.98436 | ||||||||
\(825\) | −17.9730 | − | 2.31082i | −0.625738 | − | 0.0804526i | ||||
\(826\) | −30.7532 | − | 6.97722i | −1.07004 | − | 0.242769i | ||||
\(827\) | 27.2156 | + | 27.2156i | 0.946378 | + | 0.946378i | 0.998634 | − | 0.0522557i | \(-0.0166411\pi\) |
−0.0522557 | + | 0.998634i | \(0.516641\pi\) | |||||||
\(828\) | −33.2133 | − | 84.0729i | −1.15424 | − | 2.92174i | ||||
\(829\) | −19.0453 | + | 32.9874i | −0.661470 | + | 1.14570i | 0.318760 | + | 0.947835i | \(0.396734\pi\) |
−0.980230 | + | 0.197863i | \(0.936600\pi\) | |||||||
\(830\) | 52.4995 | + | 11.9299i | 1.82228 | + | 0.414093i | ||||
\(831\) | −25.7432 | − | 12.9596i | −0.893020 | − | 0.449565i | ||||
\(832\) | 18.0006 | + | 67.1793i | 0.624059 | + | 2.32902i | ||||
\(833\) | −2.40278 | − | 0.448173i | −0.0832516 | − | 0.0155283i | ||||
\(834\) | 1.35077 | + | 23.5816i | 0.0467732 | + | 0.816564i | ||||
\(835\) | 6.78551 | − | 0.260388i | 0.234822 | − | 0.00901110i | ||||
\(836\) | 1.61762 | + | 0.933936i | 0.0559467 | + | 0.0323009i | ||||
\(837\) | 0.940454 | − | 10.4044i | 0.0325069 | − | 0.359627i | ||||
\(838\) | −4.21951 | + | 15.7474i | −0.145761 | + | 0.543986i | ||||
\(839\) | 5.04594 | + | 8.73983i | 0.174205 | + | 0.301732i | 0.939886 | − | 0.341488i | \(-0.110931\pi\) |
−0.765681 | + | 0.643221i | \(0.777598\pi\) | |||||||
\(840\) | −83.7379 | − | 10.7372i | −2.88923 | − | 0.370469i | ||||
\(841\) | −8.59691 | + | 14.8903i | −0.296445 | + | 0.513458i | ||||
\(842\) | −47.1048 | − | 47.1048i | −1.62334 | − | 1.62334i | ||||
\(843\) | 14.4585 | + | 12.8919i | 0.497978 | + | 0.444020i | ||||
\(844\) | − | 59.2621i | − | 2.03989i | ||||||
\(845\) | −3.90785 | − | 12.6261i | −0.134434 | − | 0.434351i | ||||
\(846\) | −41.4380 | − | 17.9690i | −1.42467 | − | 0.617788i | ||||
\(847\) | −14.8221 | + | 9.34022i | −0.509294 | + | 0.320934i | ||||
\(848\) | −120.897 | − | 32.3943i | −4.15162 | − | 1.11242i | ||||
\(849\) | −1.23534 | − | 21.5665i | −0.0423967 | − | 0.740159i | ||||
\(850\) | −0.356345 | − | 4.63620i | −0.0122225 | − | 0.159020i | ||||
\(851\) | −24.8670 | − | 43.0710i | −0.852431 | − | 1.47645i | ||||
\(852\) | −51.3973 | + | 57.6432i | −1.76084 | + | 1.97482i | ||||
\(853\) | −4.54916 | + | 16.9777i | −0.155760 | + | 0.581305i | 0.843279 | + | 0.537476i | \(0.180622\pi\) |
−0.999039 | + | 0.0438287i | \(0.986044\pi\) | |||||||
\(854\) | 92.0974 | − | 28.5393i | 3.15151 | − | 0.976593i | ||||
\(855\) | −0.695127 | + | 0.948183i | −0.0237729 | + | 0.0324272i | ||||
\(856\) | 66.8615 | + | 115.808i | 2.28528 | + | 3.95822i | ||||
\(857\) | −0.253358 | + | 0.253358i | −0.00865453 | + | 0.00865453i | −0.711421 | − | 0.702766i | \(-0.751948\pi\) |
0.702766 | + | 0.711421i | \(0.251948\pi\) | |||||||
\(858\) | 27.9351 | − | 31.3298i | 0.953687 | − | 1.06958i | ||||
\(859\) | −38.9557 | −1.32915 | −0.664576 | − | 0.747221i | \(-0.731388\pi\) | ||||
−0.664576 | + | 0.747221i | \(0.731388\pi\) | |||||||
\(860\) | 2.58539 | + | 67.3732i | 0.0881610 | + | 2.29741i | ||||
\(861\) | 33.1563 | − | 12.3937i | 1.12997 | − | 0.422377i | ||||
\(862\) | 19.2314 | − | 71.7726i | 0.655024 | − | 2.44458i | ||||
\(863\) | −4.00926 | − | 1.07428i | −0.136477 | − | 0.0365688i | 0.189934 | − | 0.981797i | \(-0.439173\pi\) |
−0.326411 | + | 0.945228i | \(0.605839\pi\) | |||||||
\(864\) | −49.3725 | − | 59.1851i | −1.67969 | − | 2.01352i | ||||
\(865\) | 1.13828 | + | 29.6627i | 0.0387026 | + | 1.00856i | ||||
\(866\) | 32.3609 | + | 18.6836i | 1.09967 | + | 0.634894i | ||||
\(867\) | −19.4554 | + | 21.8196i | −0.660739 | + | 0.741034i | ||||
\(868\) | 1.04819 | + | 27.0729i | 0.0355779 | + | 0.918914i | ||||
\(869\) | −9.35377 | − | 5.40040i | −0.317305 | − | 0.183196i | ||||
\(870\) | 27.3391 | + | 22.5559i | 0.926882 | + | 0.764716i | ||||
\(871\) | − | 34.5376i | − | 1.17026i | ||||||
\(872\) | 5.00032 | − | 1.33983i | 0.169332 | − | 0.0453724i | ||||
\(873\) | 14.9972 | − | 5.92469i | 0.507577 | − | 0.200520i | ||||
\(874\) | 2.76142 | 0.0934063 | ||||||||
\(875\) | −3.18952 | + | 29.4079i | −0.107825 | + | 0.994170i | ||||
\(876\) | 24.1508 | − | 47.9734i | 0.815981 | − | 1.62087i | ||||
\(877\) | −20.3098 | − | 20.3098i | −0.685813 | − | 0.685813i | 0.275491 | − | 0.961304i | \(-0.411160\pi\) |
−0.961304 | + | 0.275491i | \(0.911160\pi\) | |||||||
\(878\) | −12.4899 | + | 46.6131i | −0.421515 | + | 1.57311i | ||||
\(879\) | −3.61817 | + | 2.37474i | −0.122038 | + | 0.0800979i | ||||
\(880\) | 40.3571 | + | 37.3742i | 1.36044 | + | 1.25988i | ||||
\(881\) | − | 48.8518i | − | 1.64586i | −0.568144 | − | 0.822929i | \(-0.692338\pi\) | ||
0.568144 | − | 0.822929i | \(-0.307662\pi\) | |||||||
\(882\) | 24.5105 | + | 50.2736i | 0.825311 | + | 1.69280i | ||||
\(883\) | 7.70402 | − | 7.70402i | 0.259261 | − | 0.259261i | −0.565492 | − | 0.824753i | \(-0.691314\pi\) |
0.824753 | + | 0.565492i | \(0.191314\pi\) | |||||||
\(884\) | 6.69791 | + | 3.86704i | 0.225275 | + | 0.130063i | ||||
\(885\) | −14.1148 | + | 10.0590i | −0.474463 | + | 0.338130i | ||||
\(886\) | 23.5707 | + | 40.8256i | 0.791873 | + | 1.37156i | ||||
\(887\) | 30.4659 | − | 30.4659i | 1.02294 | − | 1.02294i | 0.0232144 | − | 0.999731i | \(-0.492610\pi\) |
0.999731 | − | 0.0232144i | \(-0.00739004\pi\) | |||||||
\(888\) | −89.5429 | − | 79.8406i | −3.00486 | − | 2.67927i | ||||
\(889\) | −22.0412 | − | 5.00066i | −0.739237 | − | 0.167717i | ||||
\(890\) | 58.2983 | − | 36.7090i | 1.95416 | − | 1.23049i | ||||
\(891\) | −5.47023 | + | 18.0198i | −0.183260 | + | 0.603686i | ||||
\(892\) | −11.5806 | − | 43.2194i | −0.387747 | − | 1.44709i | ||||
\(893\) | 0.700547 | − | 0.700547i | 0.0234429 | − | 0.0234429i | ||||
\(894\) | 3.32147 | + | 5.06062i | 0.111087 | + | 0.169252i | ||||
\(895\) | −2.50974 | + | 2.71005i | −0.0838915 | + | 0.0905870i | ||||
\(896\) | 25.1065 | + | 23.2349i | 0.838750 | + | 0.776223i | ||||
\(897\) | 9.05241 | − | 43.6294i | 0.302251 | − | 1.45674i | ||||
\(898\) | 5.18413 | + | 19.3474i | 0.172997 | + | 0.645633i | ||||
\(899\) | 3.45402 | − | 5.98254i | 0.115198 | − | 0.199529i | ||||
\(900\) | −57.7030 | + | 50.0754i | −1.92343 | + | 1.66918i | ||||
\(901\) | −3.21943 | + | 1.85874i | −0.107255 | + | 0.0619236i | ||||
\(902\) | −41.5794 | − | 11.1412i | −1.38444 | − | 0.370960i | ||||
\(903\) | 22.0867 | − | 15.7517i | 0.734999 | − | 0.524184i | ||||
\(904\) | −54.4599 | − | 31.4424i | −1.81131 | − | 1.04576i | ||||
\(905\) | 12.3657 | + | 2.80997i | 0.411051 | + | 0.0934066i | ||||
\(906\) | 62.7851 | − | 41.2082i | 2.08590 | − | 1.36905i | ||||
\(907\) | −29.9964 | − | 29.9964i | −0.996013 | − | 0.996013i | 0.00397887 | − | 0.999992i | \(-0.498733\pi\) |
−0.999992 | + | 0.00397887i | \(0.998733\pi\) | |||||||
\(908\) | −26.5243 | + | 98.9900i | −0.880240 | + | 3.28510i | ||||
\(909\) | 2.30500 | + | 3.10859i | 0.0764520 | + | 0.103105i | ||||
\(910\) | −52.0368 | − | 44.5776i | −1.72500 | − | 1.47773i | ||||
\(911\) | −1.41661 | − | 2.45365i | −0.0469345 | − | 0.0812929i | 0.841604 | − | 0.540095i | \(-0.181612\pi\) |
−0.888538 | + | 0.458803i | \(0.848279\pi\) | |||||||
\(912\) | 3.38867 | − | 1.11928i | 0.112210 | − | 0.0370629i | ||||
\(913\) | −4.89576 | + | 18.2712i | −0.162026 | + | 0.604689i | ||||
\(914\) | −84.9338 | + | 49.0365i | −2.80936 | + | 1.62198i | ||||
\(915\) | 21.9965 | − | 48.2132i | 0.727181 | − | 1.59388i | ||||
\(916\) | 86.6964 | − | 50.0542i | 2.86453 | − | 1.65384i | ||||
\(917\) | 11.6049 | + | 18.4160i | 0.383228 | + | 0.608151i | ||||
\(918\) | −4.81267 | − | 0.435019i | −0.158842 | − | 0.0143578i | ||||
\(919\) | −33.7043 | + | 19.4592i | −1.11180 | + | 0.641900i | −0.939296 | − | 0.343108i | \(-0.888520\pi\) |
−0.172507 | + | 0.985008i | \(0.555187\pi\) | |||||||
\(920\) | 106.276 | + | 24.1501i | 3.50383 | + | 0.796205i | ||||
\(921\) | 8.89343 | − | 17.6660i | 0.293048 | − | 0.582114i | ||||
\(922\) | −46.1299 | + | 46.1299i | −1.51921 | + | 1.51921i | ||||
\(923\) | −36.7716 | + | 9.85291i | −1.21035 | + | 0.324312i | ||||
\(924\) | 8.06452 | − | 48.1689i | 0.265303 | − | 1.58464i | ||||
\(925\) | −27.3578 | + | 31.9135i | −0.899518 | + | 1.04931i | ||||
\(926\) | −5.32255 | − | 9.21893i | −0.174910 | − | 0.302953i | ||||
\(927\) | −20.5165 | − | 3.04546i | −0.673852 | − | 0.100026i | ||||
\(928\) | −13.1911 | − | 49.2299i | −0.433019 | − | 1.61605i | ||||
\(929\) | 16.7708 | − | 29.0478i | 0.550231 | − | 0.953028i | −0.448026 | − | 0.894020i | \(-0.647873\pi\) |
0.998258 | − | 0.0590078i | \(-0.0187937\pi\) | |||||||
\(930\) | 15.9967 | + | 13.1979i | 0.524552 | + | 0.432777i | ||||
\(931\) | −1.22316 | + | 0.0948572i | −0.0400875 | + | 0.00310882i | ||||
\(932\) | −15.4711 | + | 4.14548i | −0.506774 | + | 0.135790i | ||||
\(933\) | 18.9377 | − | 21.2390i | 0.619991 | − | 0.695333i | ||||
\(934\) | −63.5581 | −2.07969 | ||||||||
\(935\) | 1.63252 | − | 0.0626464i | 0.0533890 | − | 0.00204876i | ||||
\(936\) | −12.2732 | − | 106.781i | −0.401164 | − | 3.49026i | ||||
\(937\) | 38.8278 | − | 38.8278i | 1.26845 | − | 1.26845i | 0.321558 | − | 0.946890i | \(-0.395793\pi\) |
0.946890 | − | 0.321558i | \(-0.104207\pi\) | |||||||
\(938\) | −29.8365 | − | 47.3479i | −0.974196 | − | 1.54597i | ||||
\(939\) | 39.9732 | − | 26.2359i | 1.30448 | − | 0.856175i | ||||
\(940\) | 54.4805 | − | 34.3050i | 1.77696 | − | 1.11891i | ||||
\(941\) | 27.5964 | − | 15.9328i | 0.899618 | − | 0.519395i | 0.0225417 | − | 0.999746i | \(-0.492824\pi\) |
0.877076 | + | 0.480351i | \(0.159491\pi\) | |||||||
\(942\) | 85.2761 | − | 28.1666i | 2.77845 | − | 0.917718i | ||||
\(943\) | −44.1384 | + | 11.8268i | −1.43734 | + | 0.385135i | ||||
\(944\) | 52.6112 | 1.71235 | ||||||||
\(945\) | 29.5867 | + | 8.34437i | 0.962455 | + | 0.271443i | ||||
\(946\) | −32.9905 | −1.07261 | ||||||||
\(947\) | 18.6044 | − | 4.98502i | 0.604560 | − | 0.161991i | 0.0564611 | − | 0.998405i | \(-0.482018\pi\) |
0.548099 | + | 0.836413i | \(0.315352\pi\) | |||||||
\(948\) | −43.2408 | + | 14.2824i | −1.40439 | + | 0.463870i | ||||
\(949\) | 22.9280 | − | 13.2375i | 0.744274 | − | 0.429707i | ||||
\(950\) | −0.775052 | − | 2.20147i | −0.0251460 | − | 0.0714251i | ||||
\(951\) | −18.0871 | + | 11.8712i | −0.586515 | + | 0.384951i | ||||
\(952\) | 7.60564 | − | 0.294470i | 0.246500 | − | 0.00954383i | ||||
\(953\) | 24.4780 | − | 24.4780i | 0.792922 | − | 0.792922i | −0.189047 | − | 0.981968i | \(-0.560540\pi\) |
0.981968 | + | 0.189047i | \(0.0605397\pi\) | |||||||
\(954\) | 78.0440 | + | 33.8427i | 2.52677 | + | 1.09570i | ||||
\(955\) | 13.7484 | + | 12.7323i | 0.444889 | + | 0.412007i | ||||
\(956\) | 87.4956 | 2.82981 | ||||||||
\(957\) | −8.28744 | + | 9.29455i | −0.267895 | + | 0.300450i | ||||
\(958\) | 29.6303 | − | 7.93940i | 0.957310 | − | 0.256510i | ||||
\(959\) | 0.0201793 | + | 0.00457824i | 0.000651623 | + | 0.000147839i | ||||
\(960\) | 61.6588 | − | 5.91094i | 1.99003 | − | 0.190775i | ||||
\(961\) | −13.4790 | + | 23.3463i | −0.434806 | + | 0.753106i | ||||
\(962\) | −25.2010 | − | 94.0514i | −0.812513 | − | 3.03234i | ||||
\(963\) | −17.8905 | − | 45.2863i | −0.576515 | − | 1.45933i | ||||
\(964\) | −48.5932 | − | 84.1659i | −1.56508 | − | 2.71080i | ||||
\(965\) | 17.5249 | − | 33.2356i | 0.564147 | − | 1.06989i | ||||
\(966\) | −25.2807 | − | 67.6323i | −0.813394 | − | 2.17603i | ||||
\(967\) | −44.6628 | + | 11.9674i | −1.43626 | + | 0.384845i | −0.891222 | − | 0.453567i | \(-0.850151\pi\) |
−0.545038 | + | 0.838412i | \(0.683485\pi\) | |||||||
\(968\) | 38.5770 | − | 38.5770i | 1.23991 | − | 1.23991i | ||||
\(969\) | 0.0476620 | − | 0.0946762i | 0.00153112 | − | 0.00304144i | ||||
\(970\) | −7.09319 | + | 31.2147i | −0.227749 | + | 1.00224i | ||||
\(971\) | 1.26093 | − | 0.727997i | 0.0404651 | − | 0.0233625i | −0.479631 | − | 0.877470i | \(-0.659229\pi\) |
0.520096 | + | 0.854108i | \(0.325896\pi\) | |||||||
\(972\) | 41.3577 | + | 67.7768i | 1.32655 | + | 2.17394i | ||||
\(973\) | 0.524113 | + | 13.5369i | 0.0168023 | + | 0.433974i | ||||
\(974\) | 73.8061 | − | 42.6120i | 2.36490 | − | 1.36538i | ||||
\(975\) | −37.3232 | + | 5.02875i | −1.19530 | + | 0.161049i | ||||
\(976\) | −139.308 | + | 80.4298i | −4.45916 | + | 2.57449i | ||||
\(977\) | −13.1034 | + | 48.9027i | −0.419216 | + | 1.56454i | 0.357023 | + | 0.934096i | \(0.383792\pi\) |
−0.776238 | + | 0.630439i | \(0.782875\pi\) | |||||||
\(978\) | 27.1292 | − | 8.96075i | 0.867496 | − | 0.286533i | ||||
\(979\) | 12.1027 | + | 20.9624i | 0.386802 | + | 0.669962i | ||||
\(980\) | −78.8761 | − | 11.6023i | −2.51960 | − | 0.370622i | ||||
\(981\) | −1.87265 | + | 0.215239i | −0.0597891 | + | 0.00687205i | ||||
\(982\) | −9.57240 | + | 35.7247i | −0.305467 | + | 1.14002i | ||||
\(983\) | 27.6740 | + | 27.6740i | 0.882664 | + | 0.882664i | 0.993805 | − | 0.111140i | \(-0.0354503\pi\) |
−0.111140 | + | 0.993805i | \(0.535450\pi\) | |||||||
\(984\) | −92.1510 | + | 60.4821i | −2.93767 | + | 1.92810i | ||||
\(985\) | 46.9202 | − | 29.5445i | 1.49500 | − | 0.941366i | ||||
\(986\) | −2.76730 | − | 1.59770i | −0.0881288 | − | 0.0508812i | ||||
\(987\) | −23.5712 | − | 10.7442i | −0.750281 | − | 0.341992i | ||||
\(988\) | 3.74971 | + | 1.00473i | 0.119294 | + | 0.0319647i | ||||
\(989\) | −30.3290 | + | 17.5105i | −0.964406 | + | 0.556800i | ||||
\(990\) | −23.4016 | − | 29.1533i | −0.743751 | − | 0.926553i | ||||
\(991\) | 30.8008 | − | 53.3486i | 0.978420 | − | 1.69467i | 0.310268 | − | 0.950649i | \(-0.399581\pi\) |
0.668152 | − | 0.744024i | \(-0.267085\pi\) | |||||||
\(992\) | −7.71840 | − | 28.8054i | −0.245059 | − | 0.914574i | ||||
\(993\) | −3.97659 | + | 19.1657i | −0.126193 | + | 0.608206i | ||||
\(994\) | −41.8987 | + | 45.2738i | −1.32895 | + | 1.43600i | ||||
\(995\) | −16.8798 | − | 15.6322i | −0.535126 | − | 0.495574i | ||||
\(996\) | 43.7609 | + | 66.6745i | 1.38662 | + | 2.11266i | ||||
\(997\) | −16.1941 | + | 16.1941i | −0.512871 | + | 0.512871i | −0.915405 | − | 0.402534i | \(-0.868130\pi\) |
0.402534 | + | 0.915405i | \(0.368130\pi\) | |||||||
\(998\) | −0.414251 | − | 1.54601i | −0.0131129 | − | 0.0489380i | ||||
\(999\) | 27.9829 | + | 33.5444i | 0.885340 | + | 1.06130i |
(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 | 315.2.cg.e.157.3 | yes | 160 | |
3.2 | odd | 2 | 945.2.cj.e.577.38 | 160 | |||
5.3 | odd | 4 | inner | 315.2.cg.e.283.38 | yes | 160 | |
7.5 | odd | 6 | 315.2.bs.e.292.38 | yes | 160 | ||
9.2 | odd | 6 | 945.2.bv.e.262.3 | 160 | |||
9.7 | even | 3 | 315.2.bs.e.52.38 | ✓ | 160 | ||
15.8 | even | 4 | 945.2.cj.e.388.3 | 160 | |||
21.5 | even | 6 | 945.2.bv.e.712.3 | 160 | |||
35.33 | even | 12 | 315.2.bs.e.103.38 | yes | 160 | ||
45.38 | even | 12 | 945.2.bv.e.73.3 | 160 | |||
45.43 | odd | 12 | 315.2.bs.e.178.38 | yes | 160 | ||
63.47 | even | 6 | 945.2.cj.e.397.3 | 160 | |||
63.61 | odd | 6 | inner | 315.2.cg.e.187.38 | yes | 160 | |
105.68 | odd | 12 | 945.2.bv.e.523.3 | 160 | |||
315.173 | odd | 12 | 945.2.cj.e.208.38 | 160 | |||
315.313 | even | 12 | inner | 315.2.cg.e.313.3 | yes | 160 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
315.2.bs.e.52.38 | ✓ | 160 | 9.7 | even | 3 | ||
315.2.bs.e.103.38 | yes | 160 | 35.33 | even | 12 | ||
315.2.bs.e.178.38 | yes | 160 | 45.43 | odd | 12 | ||
315.2.bs.e.292.38 | yes | 160 | 7.5 | odd | 6 | ||
315.2.cg.e.157.3 | yes | 160 | 1.1 | even | 1 | trivial | |
315.2.cg.e.187.38 | yes | 160 | 63.61 | odd | 6 | inner | |
315.2.cg.e.283.38 | yes | 160 | 5.3 | odd | 4 | inner | |
315.2.cg.e.313.3 | yes | 160 | 315.313 | even | 12 | inner | |
945.2.bv.e.73.3 | 160 | 45.38 | even | 12 | |||
945.2.bv.e.262.3 | 160 | 9.2 | odd | 6 | |||
945.2.bv.e.523.3 | 160 | 105.68 | odd | 12 | |||
945.2.bv.e.712.3 | 160 | 21.5 | even | 6 | |||
945.2.cj.e.208.38 | 160 | 315.173 | odd | 12 | |||
945.2.cj.e.388.3 | 160 | 15.8 | even | 4 | |||
945.2.cj.e.397.3 | 160 | 63.47 | even | 6 | |||
945.2.cj.e.577.38 | 160 | 3.2 | odd | 2 |