Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [966,2,Mod(19,966)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(966, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([0, 55, 45]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("966.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 966.be (of order \(66\), degree \(20\), 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: | \(7.71354883526\) |
Analytic rank: | \(0\) |
Dimension: | \(320\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{66})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{66}]$ |
Embedding invariants
Embedding label | 493.15 | ||
Character | \(\chi\) | \(=\) | 966.493 |
Dual form | 966.2.be.a.145.15 |
$q$-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 \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(829\) | \(925\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{3}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.327068 | − | 0.945001i | 0.231272 | − | 0.668216i | ||||
\(3\) | 0.458227 | + | 0.888835i | 0.264557 | + | 0.513169i | ||||
\(4\) | −0.786053 | − | 0.618159i | −0.393027 | − | 0.309079i | ||||
\(5\) | 2.83174 | − | 0.270399i | 1.26639 | − | 0.120926i | 0.559849 | − | 0.828594i | \(-0.310859\pi\) |
0.706545 | + | 0.707669i | \(0.250253\pi\) | |||||||
\(6\) | 0.989821 | − | 0.142315i | 0.404093 | − | 0.0580998i | ||||
\(7\) | −2.45941 | + | 0.975348i | −0.929570 | + | 0.368647i | ||||
\(8\) | −0.841254 | + | 0.540641i | −0.297428 | + | 0.191145i | ||||
\(9\) | −0.580057 | + | 0.814576i | −0.193352 | + | 0.271525i | ||||
\(10\) | 0.670645 | − | 2.76444i | 0.212077 | − | 0.874192i | ||||
\(11\) | −3.27177 | + | 1.13237i | −0.986477 | + | 0.341423i | −0.772221 | − | 0.635355i | \(-0.780854\pi\) |
−0.214256 | + | 0.976777i | \(0.568733\pi\) | |||||||
\(12\) | 0.189251 | − | 0.981929i | 0.0546321 | − | 0.283458i | ||||
\(13\) | 0.851108 | + | 2.89861i | 0.236055 | + | 0.803929i | 0.989263 | + | 0.146147i | \(0.0466872\pi\) |
−0.753208 | + | 0.657782i | \(0.771495\pi\) | |||||||
\(14\) | 0.117310 | + | 2.64315i | 0.0313525 | + | 0.706411i | ||||
\(15\) | 1.53792 | + | 2.39305i | 0.397089 | + | 0.617883i | ||||
\(16\) | 0.235759 | + | 0.971812i | 0.0589397 | + | 0.242953i | ||||
\(17\) | 6.93017 | + | 2.77442i | 1.68081 | + | 0.672896i | 0.998317 | − | 0.0579940i | \(-0.0184704\pi\) |
0.682495 | + | 0.730890i | \(0.260895\pi\) | |||||||
\(18\) | 0.580057 | + | 0.814576i | 0.136721 | + | 0.191997i | ||||
\(19\) | 6.31006 | − | 2.52617i | 1.44763 | − | 0.579543i | 0.491079 | − | 0.871115i | \(-0.336603\pi\) |
0.956549 | + | 0.291572i | \(0.0941784\pi\) | |||||||
\(20\) | −2.39305 | − | 1.53792i | −0.535102 | − | 0.343889i | ||||
\(21\) | −1.99389 | − | 1.73908i | −0.435103 | − | 0.379498i | ||||
\(22\) | 3.46219i | 0.738142i | ||||||||
\(23\) | 4.78379 | + | 0.339664i | 0.997489 | + | 0.0708249i | ||||
\(24\) | −0.866025 | − | 0.500000i | −0.176777 | − | 0.102062i | ||||
\(25\) | 3.03601 | − | 0.585142i | 0.607201 | − | 0.117028i | ||||
\(26\) | 3.01756 | + | 0.143744i | 0.591792 | + | 0.0281905i | ||||
\(27\) | −0.989821 | − | 0.142315i | −0.190491 | − | 0.0273885i | ||||
\(28\) | 2.53615 | + | 0.753631i | 0.479287 | + | 0.142423i | ||||
\(29\) | 0.579472 | + | 4.03032i | 0.107605 | + | 0.748411i | 0.970163 | + | 0.242453i | \(0.0779519\pi\) |
−0.862558 | + | 0.505958i | \(0.831139\pi\) | |||||||
\(30\) | 2.76444 | − | 0.670645i | 0.504715 | − | 0.122443i | ||||
\(31\) | 4.31014 | − | 0.205317i | 0.774123 | − | 0.0368760i | 0.343197 | − | 0.939263i | \(-0.388490\pi\) |
0.430926 | + | 0.902387i | \(0.358187\pi\) | |||||||
\(32\) | 0.995472 | + | 0.0950560i | 0.175976 | + | 0.0168037i | ||||
\(33\) | −2.50571 | − | 2.38919i | −0.436187 | − | 0.415904i | ||||
\(34\) | 4.88847 | − | 5.64159i | 0.838365 | − | 0.967525i | ||||
\(35\) | −6.70068 | + | 3.42695i | −1.13262 | + | 0.579261i | ||||
\(36\) | 0.959493 | − | 0.281733i | 0.159915 | − | 0.0469554i | ||||
\(37\) | −7.50414 | − | 5.34367i | −1.23367 | − | 0.878494i | −0.237985 | − | 0.971269i | \(-0.576487\pi\) |
−0.995687 | + | 0.0927745i | \(0.970426\pi\) | |||||||
\(38\) | −0.323411 | − | 6.78924i | −0.0524643 | − | 1.10136i | ||||
\(39\) | −2.18639 | + | 2.08471i | −0.350102 | + | 0.333821i | ||||
\(40\) | −2.23602 | + | 1.75843i | −0.353547 | + | 0.278032i | ||||
\(41\) | 8.26630 | + | 3.77509i | 1.29098 | + | 0.589570i | 0.938186 | − | 0.346131i | \(-0.112505\pi\) |
0.352793 | + | 0.935702i | \(0.385232\pi\) | |||||||
\(42\) | −2.29557 | + | 1.31543i | −0.354214 | + | 0.202975i | ||||
\(43\) | −3.81554 | + | 5.93710i | −0.581865 | + | 0.905400i | −0.999996 | − | 0.00298729i | \(-0.999049\pi\) |
0.418130 | + | 0.908387i | \(0.362685\pi\) | |||||||
\(44\) | 3.27177 | + | 1.13237i | 0.493238 | + | 0.170711i | ||||
\(45\) | −1.42231 | + | 2.46352i | −0.212026 | + | 0.367239i | ||||
\(46\) | 1.88561 | − | 4.40959i | 0.278018 | − | 0.650159i | ||||
\(47\) | −5.20384 | + | 3.00444i | −0.759057 | + | 0.438242i | −0.828957 | − | 0.559312i | \(-0.811065\pi\) |
0.0698998 | + | 0.997554i | \(0.477732\pi\) | |||||||
\(48\) | −0.755750 | + | 0.654861i | −0.109083 | + | 0.0945210i | ||||
\(49\) | 5.09739 | − | 4.79756i | 0.728199 | − | 0.685366i | ||||
\(50\) | 0.440021 | − | 3.06041i | 0.0622283 | − | 0.432807i | ||||
\(51\) | 0.709583 | + | 7.43109i | 0.0993615 | + | 1.04056i | ||||
\(52\) | 1.12278 | − | 2.80458i | 0.155702 | − | 0.388925i | ||||
\(53\) | −5.12054 | − | 5.37026i | −0.703360 | − | 0.737662i | 0.271020 | − | 0.962574i | \(-0.412639\pi\) |
−0.974379 | + | 0.224911i | \(0.927791\pi\) | |||||||
\(54\) | −0.458227 | + | 0.888835i | −0.0623567 | + | 0.120955i | ||||
\(55\) | −8.95863 | + | 4.09127i | −1.20798 | + | 0.551667i | ||||
\(56\) | 1.54167 | − | 2.15017i | 0.206015 | − | 0.287329i | ||||
\(57\) | 5.13679 | + | 4.45105i | 0.680384 | + | 0.589556i | ||||
\(58\) | 3.99818 | + | 0.770586i | 0.524987 | + | 0.101183i | ||||
\(59\) | −10.2023 | − | 2.47505i | −1.32823 | − | 0.322224i | −0.491994 | − | 0.870599i | \(-0.663732\pi\) |
−0.836233 | + | 0.548374i | \(0.815247\pi\) | |||||||
\(60\) | 0.270399 | − | 2.83174i | 0.0349083 | − | 0.365576i | ||||
\(61\) | 6.13515 | + | 3.16289i | 0.785526 | + | 0.404967i | 0.803825 | − | 0.594866i | \(-0.202795\pi\) |
−0.0182991 | + | 0.999833i | \(0.505825\pi\) | |||||||
\(62\) | 1.21568 | − | 4.14023i | 0.154392 | − | 0.525810i | ||||
\(63\) | 0.632103 | − | 2.56913i | 0.0796375 | − | 0.323680i | ||||
\(64\) | 0.415415 | − | 0.909632i | 0.0519269 | − | 0.113704i | ||||
\(65\) | 3.19390 | + | 7.97797i | 0.396154 | + | 0.989546i | ||||
\(66\) | −3.07732 | + | 1.58647i | −0.378792 | + | 0.195281i | ||||
\(67\) | 0.581400 | + | 3.01659i | 0.0710293 | + | 0.368535i | 0.999999 | − | 0.00162154i | \(-0.000516153\pi\) |
−0.928969 | + | 0.370157i | \(0.879304\pi\) | |||||||
\(68\) | −3.73245 | − | 6.46479i | −0.452626 | − | 0.783971i | ||||
\(69\) | 1.89015 | + | 4.40764i | 0.227548 | + | 0.530618i | ||||
\(70\) | 1.04690 | + | 7.45300i | 0.125128 | + | 0.890804i | ||||
\(71\) | −3.22015 | − | 3.71625i | −0.382162 | − | 0.441038i | 0.531781 | − | 0.846882i | \(-0.321523\pi\) |
−0.913942 | + | 0.405844i | \(0.866978\pi\) | |||||||
\(72\) | 0.0475819 | − | 0.998867i | 0.00560758 | − | 0.117718i | ||||
\(73\) | 6.27250 | − | 7.97613i | 0.734140 | − | 0.933535i | −0.265391 | − | 0.964141i | \(-0.585501\pi\) |
0.999532 | + | 0.0306055i | \(0.00974356\pi\) | |||||||
\(74\) | −7.50414 | + | 5.34367i | −0.872338 | + | 0.621189i | ||||
\(75\) | 1.91127 | + | 2.43038i | 0.220695 | + | 0.280636i | ||||
\(76\) | −6.52162 | − | 1.91492i | −0.748081 | − | 0.219656i | ||||
\(77\) | 6.94218 | − | 5.97608i | 0.791134 | − | 0.681038i | ||||
\(78\) | 1.25496 | + | 2.74798i | 0.142096 | + | 0.311147i | ||||
\(79\) | −2.85514 | + | 2.99439i | −0.321228 | + | 0.336895i | −0.864472 | − | 0.502680i | \(-0.832347\pi\) |
0.543244 | + | 0.839575i | \(0.317196\pi\) | |||||||
\(80\) | 0.930385 | + | 2.68817i | 0.104020 | + | 0.300547i | ||||
\(81\) | −0.327068 | − | 0.945001i | −0.0363409 | − | 0.105000i | ||||
\(82\) | 6.27110 | − | 6.57695i | 0.692528 | − | 0.726302i | ||||
\(83\) | −5.52751 | − | 12.1036i | −0.606723 | − | 1.32854i | −0.924793 | − | 0.380472i | \(-0.875762\pi\) |
0.318069 | − | 0.948068i | \(-0.396966\pi\) | |||||||
\(84\) | 0.492276 | + | 2.59955i | 0.0537117 | + | 0.283634i | ||||
\(85\) | 20.3746 | + | 5.98254i | 2.20994 | + | 0.648897i | ||||
\(86\) | 4.36262 | + | 5.54753i | 0.470434 | + | 0.598205i | ||||
\(87\) | −3.31676 | + | 2.36185i | −0.355594 | + | 0.253217i | ||||
\(88\) | 2.14018 | − | 2.72147i | 0.228144 | − | 0.290109i | ||||
\(89\) | −0.491852 | + | 10.3252i | −0.0521362 | + | 1.09447i | 0.809556 | + | 0.587043i | \(0.199708\pi\) |
−0.861692 | + | 0.507431i | \(0.830595\pi\) | |||||||
\(90\) | 1.86283 | + | 2.14982i | 0.196360 | + | 0.226611i | ||||
\(91\) | −4.92037 | − | 6.29874i | −0.515795 | − | 0.660287i | ||||
\(92\) | −3.55034 | − | 3.22414i | −0.370149 | − | 0.336139i | ||||
\(93\) | 2.15751 | + | 3.73692i | 0.223724 | + | 0.387501i | ||||
\(94\) | 1.13719 | + | 5.90028i | 0.117292 | + | 0.608568i | ||||
\(95\) | 17.1854 | − | 8.85969i | 1.76318 | − | 0.908985i | ||||
\(96\) | 0.371662 | + | 0.928368i | 0.0379326 | + | 0.0947512i | ||||
\(97\) | 0.150140 | − | 0.328760i | 0.0152444 | − | 0.0333805i | −0.901857 | − | 0.432035i | \(-0.857796\pi\) |
0.917101 | + | 0.398655i | \(0.130523\pi\) | |||||||
\(98\) | −2.86650 | − | 6.38617i | −0.289561 | − | 0.645101i | ||||
\(99\) | 0.975412 | − | 3.32195i | 0.0980326 | − | 0.333868i | ||||
\(100\) | −2.74817 | − | 1.41678i | −0.274817 | − | 0.141678i | ||||
\(101\) | 1.09276 | − | 11.4439i | 0.108734 | − | 1.13871i | −0.762211 | − | 0.647329i | \(-0.775886\pi\) |
0.870945 | − | 0.491381i | \(-0.163508\pi\) | |||||||
\(102\) | 7.25447 | + | 1.75992i | 0.718299 | + | 0.174258i | ||||
\(103\) | 5.32176 | + | 1.02569i | 0.524369 | + | 0.101064i | 0.444565 | − | 0.895747i | \(-0.353358\pi\) |
0.0798040 | + | 0.996811i | \(0.474571\pi\) | |||||||
\(104\) | −2.28310 | − | 1.97832i | −0.223877 | − | 0.193990i | ||||
\(105\) | −6.11643 | − | 4.38548i | −0.596902 | − | 0.427979i | ||||
\(106\) | −6.74967 | + | 3.08247i | −0.655586 | + | 0.299396i | ||||
\(107\) | 6.34179 | − | 12.3013i | 0.613084 | − | 1.18922i | −0.354117 | − | 0.935201i | \(-0.615218\pi\) |
0.967200 | − | 0.254015i | \(-0.0817513\pi\) | |||||||
\(108\) | 0.690079 | + | 0.723734i | 0.0664029 | + | 0.0696413i | ||||
\(109\) | −2.02978 | + | 5.07013i | −0.194417 | + | 0.485631i | −0.993260 | − | 0.115909i | \(-0.963022\pi\) |
0.798843 | + | 0.601540i | \(0.205446\pi\) | |||||||
\(110\) | 0.936172 | + | 9.80403i | 0.0892605 | + | 0.934778i | ||||
\(111\) | 1.31105 | − | 9.11856i | 0.124439 | − | 0.865495i | ||||
\(112\) | −1.52768 | − | 2.16014i | −0.144352 | − | 0.204114i | ||||
\(113\) | 6.62659 | − | 5.74197i | 0.623377 | − | 0.540159i | −0.284885 | − | 0.958562i | \(-0.591955\pi\) |
0.908262 | + | 0.418402i | \(0.137410\pi\) | |||||||
\(114\) | 5.88632 | − | 3.39847i | 0.551305 | − | 0.318296i | ||||
\(115\) | 13.6383 | − | 0.331688i | 1.27178 | − | 0.0309300i | ||||
\(116\) | 2.03588 | − | 3.52625i | 0.189027 | − | 0.327404i | ||||
\(117\) | −2.85483 | − | 0.988065i | −0.263929 | − | 0.0913467i | ||||
\(118\) | −5.67578 | + | 8.83168i | −0.522497 | + | 0.813022i | ||||
\(119\) | −19.7501 | − | 0.0641141i | −1.81049 | − | 0.00587733i | ||||
\(120\) | −2.58756 | − | 1.18170i | −0.236211 | − | 0.107874i | ||||
\(121\) | 0.775653 | − | 0.609980i | 0.0705139 | − | 0.0554528i | ||||
\(122\) | 4.99555 | − | 4.76324i | 0.452276 | − | 0.431244i | ||||
\(123\) | 0.432401 | + | 9.07722i | 0.0389883 | + | 0.818466i | ||||
\(124\) | −3.51491 | − | 2.50296i | −0.315649 | − | 0.224772i | ||||
\(125\) | −5.20801 | + | 1.52921i | −0.465819 | + | 0.136777i | ||||
\(126\) | −2.22109 | − | 1.43762i | −0.197871 | − | 0.128073i | ||||
\(127\) | −10.5549 | + | 12.1810i | −0.936593 | + | 1.08089i | 0.0599822 | + | 0.998199i | \(0.480896\pi\) |
−0.996576 | + | 0.0826870i | \(0.973650\pi\) | |||||||
\(128\) | −0.723734 | − | 0.690079i | −0.0639697 | − | 0.0609949i | ||||
\(129\) | −7.02549 | − | 0.670853i | −0.618560 | − | 0.0590653i | ||||
\(130\) | 8.58381 | − | 0.408897i | 0.752850 | − | 0.0358627i | ||||
\(131\) | −18.6551 | + | 4.52567i | −1.62990 | + | 0.395410i | −0.943384 | − | 0.331703i | \(-0.892377\pi\) |
−0.686518 | + | 0.727113i | \(0.740862\pi\) | |||||||
\(132\) | 0.492721 | + | 3.42695i | 0.0428859 | + | 0.298278i | ||||
\(133\) | −13.0551 | + | 12.3674i | −1.13202 | + | 1.07239i | ||||
\(134\) | 3.04084 | + | 0.437206i | 0.262688 | + | 0.0377689i | ||||
\(135\) | −2.84140 | − | 0.135353i | −0.244549 | − | 0.0116493i | ||||
\(136\) | −7.32999 | + | 1.41274i | −0.628542 | + | 0.121141i | ||||
\(137\) | −11.8352 | − | 6.83307i | −1.01115 | − | 0.583788i | −0.0996226 | − | 0.995025i | \(-0.531764\pi\) |
−0.911528 | + | 0.411237i | \(0.865097\pi\) | |||||||
\(138\) | 4.78344 | − | 0.344597i | 0.407193 | − | 0.0293340i | ||||
\(139\) | 15.3979i | 1.30604i | 0.757342 | + | 0.653018i | \(0.226497\pi\) | ||||
−0.757342 | + | 0.653018i | \(0.773503\pi\) | |||||||
\(140\) | 7.38550 | + | 1.44832i | 0.624188 | + | 0.122405i | ||||
\(141\) | −5.05498 | − | 3.24864i | −0.425706 | − | 0.273585i | ||||
\(142\) | −4.56507 | + | 1.82758i | −0.383092 | + | 0.153367i | ||||
\(143\) | −6.06694 | − | 8.51982i | −0.507343 | − | 0.712463i | ||||
\(144\) | −0.928368 | − | 0.371662i | −0.0773640 | − | 0.0309719i | ||||
\(145\) | 2.73071 | + | 11.2561i | 0.226773 | + | 0.934771i | ||||
\(146\) | −5.48592 | − | 8.53625i | −0.454018 | − | 0.706465i | ||||
\(147\) | 6.60000 | + | 2.33238i | 0.544359 | + | 0.192371i | ||||
\(148\) | 2.59541 | + | 8.83916i | 0.213342 | + | 0.726574i | ||||
\(149\) | 1.30458 | − | 6.76880i | 0.106875 | − | 0.554522i | −0.888534 | − | 0.458811i | \(-0.848275\pi\) |
0.995409 | − | 0.0957108i | \(-0.0305124\pi\) | |||||||
\(150\) | 2.92183 | − | 1.01126i | 0.238566 | − | 0.0825687i | ||||
\(151\) | 2.97646 | − | 12.2691i | 0.242221 | − | 0.998447i | −0.712672 | − | 0.701497i | \(-0.752515\pi\) |
0.954893 | − | 0.296950i | \(-0.0959695\pi\) | |||||||
\(152\) | −3.94261 | + | 5.53663i | −0.319788 | + | 0.449080i | ||||
\(153\) | −6.27987 | + | 4.03583i | −0.507697 | + | 0.326277i | ||||
\(154\) | −3.37684 | − | 8.51495i | −0.272114 | − | 0.686154i | ||||
\(155\) | 12.1497 | − | 1.74686i | 0.975886 | − | 0.140311i | ||||
\(156\) | 3.00730 | − | 0.287162i | 0.240777 | − | 0.0229914i | ||||
\(157\) | 15.9992 | + | 12.5819i | 1.27688 | + | 1.00415i | 0.999053 | + | 0.0435135i | \(0.0138551\pi\) |
0.277823 | + | 0.960632i | \(0.410387\pi\) | |||||||
\(158\) | 1.89587 | + | 3.67748i | 0.150827 | + | 0.292564i | ||||
\(159\) | 2.42692 | − | 7.01211i | 0.192467 | − | 0.556097i | ||||
\(160\) | 2.84462 | 0.224887 | ||||||||
\(161\) | −12.0966 | + | 3.83048i | −0.953345 | + | 0.301884i | ||||
\(162\) | −1.00000 | −0.0785674 | ||||||||
\(163\) | 1.98185 | − | 5.72619i | 0.155231 | − | 0.448510i | −0.840391 | − | 0.541980i | \(-0.817675\pi\) |
0.995622 | + | 0.0934702i | \(0.0297960\pi\) | |||||||
\(164\) | −4.16414 | − | 8.07731i | −0.325165 | − | 0.630732i | ||||
\(165\) | −7.74155 | − | 6.08802i | −0.602679 | − | 0.473952i | ||||
\(166\) | −13.2458 | + | 1.26482i | −1.02807 | + | 0.0981688i | ||||
\(167\) | −8.53927 | + | 1.22776i | −0.660788 | + | 0.0950070i | −0.464547 | − | 0.885549i | \(-0.653783\pi\) |
−0.196241 | + | 0.980556i | \(0.562874\pi\) | |||||||
\(168\) | 2.61759 | + | 0.385029i | 0.201951 | + | 0.0297056i | ||||
\(169\) | 3.25875 | − | 2.09427i | 0.250673 | − | 0.161098i | ||||
\(170\) | 12.3174 | − | 17.2974i | 0.944701 | − | 1.32665i | ||||
\(171\) | −1.60244 | + | 6.60535i | −0.122542 | + | 0.505123i | ||||
\(172\) | 6.66929 | − | 2.30827i | 0.508529 | − | 0.176004i | ||||
\(173\) | 3.19896 | − | 16.5978i | 0.243212 | − | 1.26190i | −0.630779 | − | 0.775962i | \(-0.717265\pi\) |
0.873991 | − | 0.485942i | \(-0.161523\pi\) | |||||||
\(174\) | 1.14715 | + | 3.90683i | 0.0869650 | + | 0.296176i | ||||
\(175\) | −6.89607 | + | 4.40027i | −0.521294 | + | 0.332629i | ||||
\(176\) | −1.87180 | − | 2.91258i | −0.141092 | − | 0.219544i | ||||
\(177\) | −2.47505 | − | 10.2023i | −0.186036 | − | 0.766852i | ||||
\(178\) | 9.59650 | + | 3.84186i | 0.719288 | + | 0.287959i | ||||
\(179\) | 6.33486 | + | 8.89607i | 0.473490 | + | 0.664924i | 0.980387 | − | 0.197083i | \(-0.0631469\pi\) |
−0.506897 | + | 0.862007i | \(0.669207\pi\) | |||||||
\(180\) | 2.64086 | − | 1.05724i | 0.196838 | − | 0.0788020i | ||||
\(181\) | −4.38533 | − | 2.81828i | −0.325959 | − | 0.209481i | 0.367419 | − | 0.930056i | \(-0.380242\pi\) |
−0.693377 | + | 0.720575i | \(0.743878\pi\) | |||||||
\(182\) | −7.56161 | + | 2.58964i | −0.560504 | + | 0.191957i | ||||
\(183\) | 6.90246i | 0.510245i | ||||||||
\(184\) | −4.20802 | + | 2.30057i | −0.310219 | + | 0.169600i | ||||
\(185\) | −22.6947 | − | 13.1028i | −1.66855 | − | 0.963337i | ||||
\(186\) | 4.23705 | − | 0.816624i | 0.310675 | − | 0.0598777i | ||||
\(187\) | −25.8156 | − | 1.22975i | −1.88782 | − | 0.0899282i | ||||
\(188\) | 5.94771 | + | 0.855152i | 0.433781 | + | 0.0623683i | ||||
\(189\) | 2.57318 | − | 0.615410i | 0.187172 | − | 0.0447645i | ||||
\(190\) | −2.75162 | − | 19.1379i | −0.199624 | − | 1.38841i | ||||
\(191\) | 10.7227 | − | 2.60130i | 0.775867 | − | 0.188223i | 0.171773 | − | 0.985137i | \(-0.445050\pi\) |
0.604094 | + | 0.796913i | \(0.293535\pi\) | |||||||
\(192\) | 0.998867 | − | 0.0475819i | 0.0720870 | − | 0.00343393i | ||||
\(193\) | 1.01615 | + | 0.0970301i | 0.0731438 | + | 0.00698438i | 0.131564 | − | 0.991308i | \(-0.458000\pi\) |
−0.0584200 | + | 0.998292i | \(0.518606\pi\) | |||||||
\(194\) | −0.261572 | − | 0.249409i | −0.0187798 | − | 0.0179065i | ||||
\(195\) | −5.62758 | + | 6.49457i | −0.402999 | + | 0.465086i | ||||
\(196\) | −6.97248 | + | 0.620137i | −0.498034 | + | 0.0442955i | ||||
\(197\) | −5.00621 | + | 1.46996i | −0.356678 | + | 0.104730i | −0.455162 | − | 0.890409i | \(-0.650419\pi\) |
0.0984843 | + | 0.995139i | \(0.468601\pi\) | |||||||
\(198\) | −2.82022 | − | 2.00827i | −0.200424 | − | 0.142721i | ||||
\(199\) | −0.580254 | − | 12.1810i | −0.0411331 | − | 0.863490i | −0.921306 | − | 0.388837i | \(-0.872877\pi\) |
0.880173 | − | 0.474652i | \(-0.157426\pi\) | |||||||
\(200\) | −2.23770 | + | 2.13364i | −0.158229 | + | 0.150871i | ||||
\(201\) | −2.41484 | + | 1.89905i | −0.170330 | + | 0.133949i | ||||
\(202\) | −10.4571 | − | 4.77559i | −0.735758 | − | 0.336009i | ||||
\(203\) | −5.35612 | − | 9.34701i | −0.375926 | − | 0.656032i | ||||
\(204\) | 4.03583 | − | 6.27987i | 0.282564 | − | 0.439679i | ||||
\(205\) | 24.4288 | + | 8.45489i | 1.70618 | + | 0.590515i | ||||
\(206\) | 2.70985 | − | 4.69360i | 0.188804 | − | 0.327019i | ||||
\(207\) | −3.05155 | + | 3.69973i | −0.212098 | + | 0.257149i | ||||
\(208\) | −2.61624 | + | 1.51049i | −0.181404 | + | 0.104734i | ||||
\(209\) | −17.7845 | + | 15.4104i | −1.23018 | + | 1.06596i | ||||
\(210\) | −6.14477 | + | 4.34568i | −0.424030 | + | 0.299880i | ||||
\(211\) | 2.09316 | − | 14.5583i | 0.144099 | − | 1.00223i | −0.781548 | − | 0.623845i | \(-0.785570\pi\) |
0.925647 | − | 0.378387i | \(-0.123521\pi\) | |||||||
\(212\) | 0.705336 | + | 7.38662i | 0.0484427 | + | 0.507315i | ||||
\(213\) | 1.82758 | − | 4.56507i | 0.125224 | − | 0.312794i | ||||
\(214\) | −9.55059 | − | 10.0164i | −0.652865 | − | 0.684705i | ||||
\(215\) | −9.19925 | + | 17.8441i | −0.627384 | + | 1.21696i | ||||
\(216\) | 0.909632 | − | 0.415415i | 0.0618926 | − | 0.0282654i | ||||
\(217\) | −10.4001 | + | 4.70884i | −0.706007 | + | 0.319657i | ||||
\(218\) | 4.12741 | + | 3.57642i | 0.279543 | + | 0.242226i | ||||
\(219\) | 9.96369 | + | 1.92034i | 0.673284 | + | 0.129765i | ||||
\(220\) | 9.57101 | + | 2.32190i | 0.645278 | + | 0.156543i | ||||
\(221\) | −2.14364 | + | 22.4492i | −0.144197 | + | 1.51009i | ||||
\(222\) | −8.18824 | − | 4.22133i | −0.549559 | − | 0.283317i | ||||
\(223\) | 5.23163 | − | 17.8173i | 0.350336 | − | 1.19314i | −0.576320 | − | 0.817224i | \(-0.695512\pi\) |
0.926656 | − | 0.375911i | \(-0.122670\pi\) | |||||||
\(224\) | −2.54099 | + | 0.737150i | −0.169777 | + | 0.0492529i | ||||
\(225\) | −1.28441 | + | 2.81247i | −0.0856276 | + | 0.187498i | ||||
\(226\) | −3.25882 | − | 8.14015i | −0.216774 | − | 0.541475i | ||||
\(227\) | 0.649120 | − | 0.334645i | 0.0430836 | − | 0.0222111i | −0.436550 | − | 0.899680i | \(-0.643800\pi\) |
0.479634 | + | 0.877469i | \(0.340770\pi\) | |||||||
\(228\) | −1.28633 | − | 6.67411i | −0.0851893 | − | 0.442004i | ||||
\(229\) | 6.88014 | + | 11.9168i | 0.454652 | + | 0.787481i | 0.998668 | − | 0.0515939i | \(-0.0164302\pi\) |
−0.544016 | + | 0.839075i | \(0.683097\pi\) | |||||||
\(230\) | 4.14721 | − | 12.9967i | 0.273459 | − | 0.856976i | ||||
\(231\) | 8.49284 | + | 3.43205i | 0.558788 | + | 0.225812i | ||||
\(232\) | −2.66644 | − | 3.07723i | −0.175060 | − | 0.202030i | ||||
\(233\) | 0.224414 | − | 4.71104i | 0.0147019 | − | 0.308630i | −0.979524 | − | 0.201326i | \(-0.935475\pi\) |
0.994226 | − | 0.107305i | \(-0.0342220\pi\) | |||||||
\(234\) | −1.86745 | + | 2.37465i | −0.122079 | + | 0.155236i | ||||
\(235\) | −13.9235 | + | 9.91490i | −0.908271 | + | 0.646777i | ||||
\(236\) | 6.48958 | + | 8.25217i | 0.422436 | + | 0.537171i | ||||
\(237\) | −3.96982 | − | 1.16564i | −0.257867 | − | 0.0757167i | ||||
\(238\) | −6.52023 | + | 18.6429i | −0.422644 | + | 1.20844i | ||||
\(239\) | −8.20068 | − | 17.9570i | −0.530458 | − | 1.16154i | −0.965326 | − | 0.261046i | \(-0.915932\pi\) |
0.434869 | − | 0.900494i | \(-0.356795\pi\) | |||||||
\(240\) | −1.96301 | + | 2.05875i | −0.126712 | + | 0.132892i | ||||
\(241\) | −7.90117 | − | 22.8289i | −0.508959 | − | 1.47054i | −0.848116 | − | 0.529810i | \(-0.822263\pi\) |
0.339157 | − | 0.940730i | \(-0.389858\pi\) | |||||||
\(242\) | −0.322741 | − | 0.932498i | −0.0207466 | − | 0.0599432i | ||||
\(243\) | 0.690079 | − | 0.723734i | 0.0442686 | − | 0.0464276i | ||||
\(244\) | −2.86739 | − | 6.27870i | −0.183566 | − | 0.401953i | ||||
\(245\) | 13.1373 | − | 14.9638i | 0.839308 | − | 0.956001i | ||||
\(246\) | 8.71941 | + | 2.56025i | 0.555929 | + | 0.163236i | ||||
\(247\) | 12.6929 | + | 16.1404i | 0.807631 | + | 1.02699i | ||||
\(248\) | −3.51491 | + | 2.50296i | −0.223197 | + | 0.158938i | ||||
\(249\) | 8.22523 | − | 10.4592i | 0.521253 | − | 0.662827i | ||||
\(250\) | −0.258269 | + | 5.42173i | −0.0163344 | + | 0.342900i | ||||
\(251\) | 1.65148 | + | 1.90591i | 0.104241 | + | 0.120300i | 0.805472 | − | 0.592633i | \(-0.201912\pi\) |
−0.701232 | + | 0.712933i | \(0.747366\pi\) | |||||||
\(252\) | −2.08500 | + | 1.62874i | −0.131343 | + | 0.102601i | ||||
\(253\) | −16.0361 | + | 4.30572i | −1.00818 | + | 0.270698i | ||||
\(254\) | 8.05887 | + | 13.9584i | 0.505658 | + | 0.875826i | ||||
\(255\) | 4.01871 | + | 20.8511i | 0.251662 | + | 1.30574i | ||||
\(256\) | −0.888835 | + | 0.458227i | −0.0555522 | + | 0.0286392i | ||||
\(257\) | 1.67535 | + | 4.18482i | 0.104505 | + | 0.261042i | 0.971400 | − | 0.237450i | \(-0.0763116\pi\) |
−0.866894 | + | 0.498492i | \(0.833887\pi\) | |||||||
\(258\) | −2.93177 | + | 6.41968i | −0.182524 | + | 0.399672i | ||||
\(259\) | 23.6677 | + | 5.82314i | 1.47064 | + | 0.361832i | ||||
\(260\) | 2.42108 | − | 8.24545i | 0.150149 | − | 0.511361i | ||||
\(261\) | −3.61913 | − | 1.86579i | −0.224018 | − | 0.115489i | ||||
\(262\) | −1.82471 | + | 19.1093i | −0.112731 | + | 1.18057i | ||||
\(263\) | −12.2996 | − | 2.98386i | −0.758428 | − | 0.183993i | −0.162145 | − | 0.986767i | \(-0.551841\pi\) |
−0.596283 | + | 0.802774i | \(0.703356\pi\) | |||||||
\(264\) | 3.39963 | + | 0.655224i | 0.209232 | + | 0.0403263i | ||||
\(265\) | −15.9522 | − | 13.8226i | −0.979933 | − | 0.849117i | ||||
\(266\) | 7.41727 | + | 16.3821i | 0.454782 | + | 1.00445i | ||||
\(267\) | −9.40282 | + | 4.29413i | −0.575443 | + | 0.262796i | ||||
\(268\) | 1.40772 | − | 2.73060i | 0.0859902 | − | 0.166798i | ||||
\(269\) | 12.5449 | + | 13.1568i | 0.764879 | + | 0.802182i | 0.984865 | − | 0.173321i | \(-0.0554499\pi\) |
−0.219987 | + | 0.975503i | \(0.570601\pi\) | |||||||
\(270\) | −1.05724 | + | 2.64086i | −0.0643416 | + | 0.160717i | ||||
\(271\) | 2.23461 | + | 23.4019i | 0.135743 | + | 1.42157i | 0.764830 | + | 0.644232i | \(0.222823\pi\) |
−0.629087 | + | 0.777335i | \(0.716571\pi\) | |||||||
\(272\) | −1.06237 | + | 7.38891i | −0.0644153 | + | 0.448019i | ||||
\(273\) | 3.34390 | − | 7.25965i | 0.202382 | − | 0.439374i | ||||
\(274\) | −10.3282 | + | 8.94942i | −0.623948 | + | 0.540654i | ||||
\(275\) | −9.27053 | + | 5.35234i | −0.559034 | + | 0.322758i | ||||
\(276\) | 1.23886 | − | 4.63306i | 0.0745709 | − | 0.278877i | ||||
\(277\) | 0.937088 | − | 1.62308i | 0.0563042 | − | 0.0975217i | −0.836500 | − | 0.547968i | \(-0.815402\pi\) |
0.892804 | + | 0.450446i | \(0.148735\pi\) | |||||||
\(278\) | 14.5511 | + | 5.03617i | 0.872715 | + | 0.302049i | ||||
\(279\) | −2.33288 | + | 3.63003i | −0.139666 | + | 0.217324i | ||||
\(280\) | 3.78422 | − | 6.50560i | 0.226150 | − | 0.388784i | ||||
\(281\) | 13.9104 | + | 6.35268i | 0.829826 | + | 0.378969i | 0.784596 | − | 0.620008i | \(-0.212870\pi\) |
0.0452305 | + | 0.998977i | \(0.485598\pi\) | |||||||
\(282\) | −4.72329 | + | 3.71444i | −0.281268 | + | 0.221192i | ||||
\(283\) | 21.3611 | − | 20.3677i | 1.26978 | − | 1.21074i | 0.303623 | − | 0.952792i | \(-0.401804\pi\) |
0.966160 | − | 0.257943i | \(-0.0830447\pi\) | |||||||
\(284\) | 0.233975 | + | 4.91174i | 0.0138839 | + | 0.291458i | ||||
\(285\) | 15.7496 | + | 11.2152i | 0.932927 | + | 0.664334i | ||||
\(286\) | −10.0355 | + | 2.94670i | −0.593414 | + | 0.174242i | ||||
\(287\) | −24.0122 | − | 1.22198i | −1.41740 | − | 0.0721314i | ||||
\(288\) | −0.654861 | + | 0.755750i | −0.0385880 | + | 0.0445330i | ||||
\(289\) | 28.0263 | + | 26.7231i | 1.64861 | + | 1.57194i | ||||
\(290\) | 11.5302 | + | 1.10100i | 0.677075 | + | 0.0646529i | ||||
\(291\) | 0.361011 | − | 0.0171971i | 0.0211629 | − | 0.00100811i | ||||
\(292\) | −9.86103 | + | 2.39226i | −0.577073 | + | 0.139996i | ||||
\(293\) | −0.515635 | − | 3.58632i | −0.0301237 | − | 0.209515i | 0.969200 | − | 0.246273i | \(-0.0792060\pi\) |
−0.999324 | + | 0.0367581i | \(0.988297\pi\) | |||||||
\(294\) | 4.36275 | − | 5.47416i | 0.254440 | − | 0.319260i | ||||
\(295\) | −29.5596 | − | 4.25002i | −1.72102 | − | 0.247446i | ||||
\(296\) | 9.20189 | + | 0.438340i | 0.534849 | + | 0.0254780i | ||||
\(297\) | 3.39963 | − | 0.655224i | 0.197266 | − | 0.0380200i | ||||
\(298\) | −5.96984 | − | 3.44669i | −0.345823 | − | 0.199661i | ||||
\(299\) | 3.08697 | + | 14.1554i | 0.178524 | + | 0.818629i | ||||
\(300\) | − | 3.09188i | − | 0.178510i | ||||||
\(301\) | 3.59325 | − | 18.3233i | 0.207111 | − | 1.05613i | ||||
\(302\) | −10.6208 | − | 6.82559i | −0.611160 | − | 0.392769i | ||||
\(303\) | 10.6725 | − | 4.27261i | 0.613117 | − | 0.245455i | ||||
\(304\) | 3.94261 | + | 5.53663i | 0.226124 | + | 0.317547i | ||||
\(305\) | 18.2284 | + | 7.29756i | 1.04376 | + | 0.417857i | ||||
\(306\) | 1.75992 | + | 7.25447i | 0.100608 | + | 0.414710i | ||||
\(307\) | −6.75709 | − | 10.5142i | −0.385647 | − | 0.600079i | 0.593105 | − | 0.805125i | \(-0.297902\pi\) |
−0.978752 | + | 0.205046i | \(0.934266\pi\) | |||||||
\(308\) | −9.15109 | + | 0.406150i | −0.521432 | + | 0.0231426i | ||||
\(309\) | 1.52691 | + | 5.20016i | 0.0868627 | + | 0.295827i | ||||
\(310\) | 2.32299 | − | 12.0528i | 0.131937 | − | 0.684553i | ||||
\(311\) | −17.2614 | + | 5.97422i | −0.978803 | + | 0.338767i | −0.769192 | − | 0.639018i | \(-0.779341\pi\) |
−0.209611 | + | 0.977785i | \(0.567220\pi\) | |||||||
\(312\) | 0.712223 | − | 2.93582i | 0.0403217 | − | 0.166208i | ||||
\(313\) | −2.39943 | + | 3.36952i | −0.135624 | + | 0.190457i | −0.876802 | − | 0.480851i | \(-0.840328\pi\) |
0.741179 | + | 0.671308i | \(0.234267\pi\) | |||||||
\(314\) | 17.1227 | − | 11.0041i | 0.966292 | − | 0.620998i | ||||
\(315\) | 1.09526 | − | 7.44604i | 0.0617111 | − | 0.419537i | ||||
\(316\) | 4.09530 | − | 0.588815i | 0.230379 | − | 0.0331234i | ||||
\(317\) | −29.3507 | + | 2.80265i | −1.64850 | + | 0.157413i | −0.877551 | − | 0.479483i | \(-0.840824\pi\) |
−0.770950 | + | 0.636896i | \(0.780218\pi\) | |||||||
\(318\) | −5.83268 | − | 4.58687i | −0.327081 | − | 0.257219i | ||||
\(319\) | −6.45972 | − | 12.5301i | −0.361675 | − | 0.701551i | ||||
\(320\) | 0.930385 | − | 2.68817i | 0.0520101 | − | 0.150273i | ||||
\(321\) | 13.8399 | 0.772465 | ||||||||
\(322\) | −0.336596 | + | 12.6841i | −0.0187578 | + | 0.706858i | ||||
\(323\) | 50.7384 | 2.82316 | ||||||||
\(324\) | −0.327068 | + | 0.945001i | −0.0181704 | + | 0.0525000i | ||||
\(325\) | 4.28007 | + | 8.30218i | 0.237416 | + | 0.460522i | ||||
\(326\) | −4.76305 | − | 3.74571i | −0.263801 | − | 0.207456i | ||||
\(327\) | −5.43661 | + | 0.519134i | −0.300645 | + | 0.0287082i | ||||
\(328\) | −8.99502 | + | 1.29329i | −0.496667 | + | 0.0714099i | ||||
\(329\) | 9.86799 | − | 12.4647i | 0.544040 | − | 0.687200i | ||||
\(330\) | −8.28520 | + | 5.32457i | −0.456085 | + | 0.293108i | ||||
\(331\) | 16.9673 | − | 23.8273i | 0.932609 | − | 1.30967i | −0.0181822 | − | 0.999835i | \(-0.505788\pi\) |
0.950791 | − | 0.309832i | \(-0.100273\pi\) | |||||||
\(332\) | −3.13701 | + | 12.9309i | −0.172166 | + | 0.709677i | ||||
\(333\) | 8.70565 | − | 3.01306i | 0.477067 | − | 0.165114i | ||||
\(334\) | −1.63268 | + | 8.47117i | −0.0893365 | + | 0.463522i | ||||
\(335\) | 2.46206 | + | 8.38499i | 0.134517 | + | 0.458121i | ||||
\(336\) | 1.21998 | − | 2.34769i | 0.0665554 | − | 0.128077i | ||||
\(337\) | −4.28247 | − | 6.66366i | −0.233281 | − | 0.362993i | 0.704801 | − | 0.709405i | \(-0.251036\pi\) |
−0.938082 | + | 0.346412i | \(0.887400\pi\) | |||||||
\(338\) | −0.913256 | − | 3.76449i | −0.0496746 | − | 0.204761i | ||||
\(339\) | 8.14015 | + | 3.25882i | 0.442112 | + | 0.176995i | ||||
\(340\) | −12.3174 | − | 17.2974i | −0.668005 | − | 0.938081i | ||||
\(341\) | −13.8693 | + | 5.55243i | −0.751064 | + | 0.300681i | ||||
\(342\) | 5.71795 | + | 3.67470i | 0.309191 | + | 0.198705i | ||||
\(343\) | −7.85729 | + | 16.7709i | −0.424254 | + | 0.905543i | ||||
\(344\) | − | 7.05745i | − | 0.380512i | ||||||
\(345\) | 6.54425 | + | 11.9702i | 0.352330 | + | 0.644455i | ||||
\(346\) | −14.6386 | − | 8.45161i | −0.786977 | − | 0.454361i | ||||
\(347\) | −32.5666 | + | 6.27670i | −1.74827 | + | 0.336951i | −0.960343 | − | 0.278822i | \(-0.910056\pi\) |
−0.787924 | + | 0.615772i | \(0.788844\pi\) | |||||||
\(348\) | 4.06715 | + | 0.193742i | 0.218022 | + | 0.0103857i | ||||
\(349\) | −8.16840 | − | 1.17444i | −0.437244 | − | 0.0628663i | −0.0798221 | − | 0.996809i | \(-0.525435\pi\) |
−0.357422 | + | 0.933943i | \(0.616344\pi\) | |||||||
\(350\) | 1.90277 | + | 7.95598i | 0.101708 | + | 0.425265i | ||||
\(351\) | −0.429930 | − | 2.99023i | −0.0229480 | − | 0.159607i | ||||
\(352\) | −3.36460 | + | 0.816243i | −0.179334 | + | 0.0435059i | ||||
\(353\) | −30.3723 | + | 1.44681i | −1.61656 | + | 0.0770061i | −0.836234 | − | 0.548372i | \(-0.815248\pi\) |
−0.780322 | + | 0.625378i | \(0.784945\pi\) | |||||||
\(354\) | −10.4507 | − | 0.997921i | −0.555448 | − | 0.0530389i | ||||
\(355\) | −10.1235 | − | 9.65275i | −0.537300 | − | 0.512315i | ||||
\(356\) | 6.76926 | − | 7.81215i | 0.358770 | − | 0.414043i | ||||
\(357\) | −8.99305 | − | 17.5840i | −0.475963 | − | 0.930644i | ||||
\(358\) | 10.4787 | − | 3.07683i | 0.553818 | − | 0.162616i | ||||
\(359\) | 10.2704 | + | 7.31355i | 0.542053 | + | 0.385994i | 0.818035 | − | 0.575169i | \(-0.195064\pi\) |
−0.275982 | + | 0.961163i | \(0.589003\pi\) | |||||||
\(360\) | −0.135353 | − | 2.84140i | −0.00713371 | − | 0.149755i | ||||
\(361\) | 19.6844 | − | 18.7691i | 1.03602 | − | 0.987845i | ||||
\(362\) | −4.09757 | + | 3.22237i | −0.215364 | + | 0.169364i | ||||
\(363\) | 0.897597 | + | 0.409919i | 0.0471116 | + | 0.0215152i | ||||
\(364\) | −0.0259465 | + | 7.99272i | −0.00135996 | + | 0.418932i | ||||
\(365\) | 15.6054 | − | 24.2824i | 0.816822 | − | 1.27100i | ||||
\(366\) | 6.52283 | + | 2.25757i | 0.340954 | + | 0.118005i | ||||
\(367\) | −9.40381 | + | 16.2879i | −0.490875 | + | 0.850220i | −0.999945 | − | 0.0105048i | \(-0.996656\pi\) |
0.509070 | + | 0.860725i | \(0.329989\pi\) | |||||||
\(368\) | 0.797731 | + | 4.72902i | 0.0415846 | + | 0.246517i | ||||
\(369\) | −7.87002 | + | 4.54376i | −0.409697 | + | 0.236539i | ||||
\(370\) | −19.8049 | + | 17.1610i | −1.02961 | + | 0.892158i | ||||
\(371\) | 17.8314 | + | 8.21338i | 0.925759 | + | 0.426417i | ||||
\(372\) | 0.614092 | − | 4.27110i | 0.0318392 | − | 0.221446i | ||||
\(373\) | 1.13410 | + | 11.8768i | 0.0587214 | + | 0.614959i | 0.976156 | + | 0.217071i | \(0.0696504\pi\) |
−0.917434 | + | 0.397887i | \(0.869744\pi\) | |||||||
\(374\) | −9.60557 | + | 23.9936i | −0.496692 | + | 1.24068i | ||||
\(375\) | −3.74566 | − | 3.92834i | −0.193425 | − | 0.202859i | ||||
\(376\) | 2.75342 | − | 5.34090i | 0.141997 | − | 0.275436i | ||||
\(377\) | −11.1891 | + | 5.10990i | −0.576269 | + | 0.263173i | ||||
\(378\) | 0.260043 | − | 2.63294i | 0.0133752 | − | 0.135424i | ||||
\(379\) | −2.20445 | − | 1.91016i | −0.113235 | − | 0.0981186i | 0.596403 | − | 0.802685i | \(-0.296596\pi\) |
−0.709638 | + | 0.704567i | \(0.751141\pi\) | |||||||
\(380\) | −18.9853 | − | 3.65912i | −0.973927 | − | 0.187709i | ||||
\(381\) | −15.6634 | − | 3.79990i | −0.802460 | − | 0.194675i | ||||
\(382\) | 1.04882 | − | 10.9838i | 0.0536624 | − | 0.561978i | ||||
\(383\) | 12.5320 | + | 6.46071i | 0.640357 | + | 0.330127i | 0.747642 | − | 0.664101i | \(-0.231186\pi\) |
−0.107286 | + | 0.994228i | \(0.534216\pi\) | |||||||
\(384\) | 0.281733 | − | 0.959493i | 0.0143771 | − | 0.0489639i | ||||
\(385\) | 18.0425 | − | 18.7999i | 0.919533 | − | 0.958131i | ||||
\(386\) | 0.424042 | − | 0.928523i | 0.0215832 | − | 0.0472606i | ||||
\(387\) | −2.62299 | − | 6.55191i | −0.133334 | − | 0.333052i | ||||
\(388\) | −0.321243 | + | 0.165613i | −0.0163087 | + | 0.00840770i | ||||
\(389\) | −6.97336 | − | 36.1812i | −0.353564 | − | 1.83446i | −0.527312 | − | 0.849672i | \(-0.676800\pi\) |
0.173749 | − | 0.984790i | \(-0.444412\pi\) | |||||||
\(390\) | 4.29677 | + | 7.44223i | 0.217576 | + | 0.376852i | ||||
\(391\) | 32.2101 | + | 15.6262i | 1.62893 | + | 0.790249i | ||||
\(392\) | −1.69444 | + | 6.79182i | −0.0855823 | + | 0.343039i | ||||
\(393\) | −12.5708 | − | 14.5075i | −0.634115 | − | 0.731807i | ||||
\(394\) | −0.248262 | + | 5.21165i | −0.0125072 | + | 0.262559i | ||||
\(395\) | −7.27535 | + | 9.25136i | −0.366062 | + | 0.465486i | ||||
\(396\) | −2.82022 | + | 2.00827i | −0.141721 | + | 0.100919i | ||||
\(397\) | −3.40590 | − | 4.33096i | −0.170937 | − | 0.217365i | 0.693035 | − | 0.720904i | \(-0.256273\pi\) |
−0.863972 | + | 0.503540i | \(0.832031\pi\) | |||||||
\(398\) | −11.7009 | − | 3.43568i | −0.586511 | − | 0.172215i | ||||
\(399\) | −16.9748 | − | 5.93680i | −0.849802 | − | 0.297212i | ||||
\(400\) | 1.28441 | + | 2.81247i | 0.0642207 | + | 0.140624i | ||||
\(401\) | 9.62572 | − | 10.0952i | 0.480686 | − | 0.504128i | −0.438078 | − | 0.898937i | \(-0.644341\pi\) |
0.918763 | + | 0.394809i | \(0.129189\pi\) | |||||||
\(402\) | 1.00479 | + | 2.90314i | 0.0501142 | + | 0.144796i | ||||
\(403\) | 4.26353 | + | 12.3186i | 0.212381 | + | 0.613636i | ||||
\(404\) | −7.93311 | + | 8.32001i | −0.394687 | + | 0.413936i | ||||
\(405\) | −1.18170 | − | 2.58756i | −0.0587191 | − | 0.128577i | ||||
\(406\) | −10.5848 | + | 2.00443i | −0.525312 | + | 0.0994781i | ||||
\(407\) | 30.6029 | + | 8.98581i | 1.51693 | + | 0.445410i | ||||
\(408\) | −4.61449 | − | 5.86780i | −0.228451 | − | 0.290499i | ||||
\(409\) | 6.13348 | − | 4.36763i | 0.303281 | − | 0.215966i | −0.418277 | − | 0.908320i | \(-0.637366\pi\) |
0.721558 | + | 0.692354i | \(0.243426\pi\) | |||||||
\(410\) | 15.9798 | − | 20.3199i | 0.789184 | − | 1.00353i | ||||
\(411\) | 0.650261 | − | 13.6507i | 0.0320750 | − | 0.673337i | ||||
\(412\) | −3.54915 | − | 4.09594i | −0.174854 | − | 0.201792i | ||||
\(413\) | 27.5057 | − | 3.86363i | 1.35347 | − | 0.190117i | ||||
\(414\) | 2.49819 | + | 4.09378i | 0.122779 | + | 0.201198i | ||||
\(415\) | −18.9253 | − | 32.7796i | −0.929006 | − | 1.60909i | ||||
\(416\) | 0.571724 | + | 2.96639i | 0.0280311 | + | 0.145439i | ||||
\(417\) | −13.6862 | + | 7.05574i | −0.670218 | + | 0.345521i | ||||
\(418\) | 8.74608 | + | 21.8466i | 0.427785 | + | 1.06855i | ||||
\(419\) | 15.5863 | − | 34.1292i | 0.761440 | − | 1.66732i | 0.0167972 | − | 0.999859i | \(-0.494653\pi\) |
0.744643 | − | 0.667463i | \(-0.232620\pi\) | |||||||
\(420\) | 2.09691 | + | 7.22815i | 0.102319 | + | 0.352698i | ||||
\(421\) | −1.60566 | + | 5.46838i | −0.0782551 | + | 0.266512i | −0.989322 | − | 0.145746i | \(-0.953442\pi\) |
0.911067 | + | 0.412258i | \(0.135260\pi\) | |||||||
\(422\) | −13.0730 | − | 6.73958i | −0.636382 | − | 0.328078i | ||||
\(423\) | 0.571180 | − | 5.98166i | 0.0277717 | − | 0.290838i | ||||
\(424\) | 7.21105 | + | 1.74938i | 0.350200 | + | 0.0849575i | ||||
\(425\) | 22.6635 | + | 4.36803i | 1.09934 | + | 0.211880i | ||||
\(426\) | −3.71625 | − | 3.22015i | −0.180053 | − | 0.156017i | ||||
\(427\) | −18.1738 | − | 1.79494i | −0.879491 | − | 0.0868632i | ||||
\(428\) | −12.5892 | + | 5.74928i | −0.608521 | + | 0.277902i | ||||
\(429\) | 4.79269 | − | 9.29651i | 0.231393 | − | 0.448840i | ||||
\(430\) | 13.8539 | + | 14.5295i | 0.668093 | + | 0.700676i | ||||
\(431\) | 5.05453 | − | 12.6256i | 0.243468 | − | 0.608154i | −0.755423 | − | 0.655238i | \(-0.772568\pi\) |
0.998891 | + | 0.0470835i | \(0.0149927\pi\) | |||||||
\(432\) | −0.0950560 | − | 0.995472i | −0.00457339 | − | 0.0478947i | ||||
\(433\) | −3.31521 | + | 23.0578i | −0.159319 | + | 1.10809i | 0.740574 | + | 0.671975i | \(0.234554\pi\) |
−0.899893 | + | 0.436111i | \(0.856355\pi\) | |||||||
\(434\) | 1.04831 | + | 11.3682i | 0.0503203 | + | 0.545693i | ||||
\(435\) | −8.75357 | + | 7.58501i | −0.419701 | + | 0.363673i | ||||
\(436\) | 4.72966 | − | 2.73067i | 0.226510 | − | 0.130775i | ||||
\(437\) | 31.0441 | − | 9.94135i | 1.48504 | − | 0.475559i | ||||
\(438\) | 5.07353 | − | 8.78761i | 0.242423 | − | 0.419888i | ||||
\(439\) | 8.29908 | + | 2.87234i | 0.396093 | + | 0.137089i | 0.517851 | − | 0.855471i | \(-0.326732\pi\) |
−0.121758 | + | 0.992560i | \(0.538853\pi\) | |||||||
\(440\) | 5.32457 | − | 8.28520i | 0.253839 | − | 0.394981i | ||||
\(441\) | 0.951198 | + | 6.93507i | 0.0452952 | + | 0.330242i | ||||
\(442\) | 20.5134 | + | 9.36814i | 0.975722 | + | 0.445597i | ||||
\(443\) | 4.01858 | − | 3.16025i | 0.190929 | − | 0.150148i | −0.518119 | − | 0.855309i | \(-0.673368\pi\) |
0.709048 | + | 0.705161i | \(0.249125\pi\) | |||||||
\(444\) | −6.66727 | + | 6.35723i | −0.316415 | + | 0.301701i | ||||
\(445\) | 1.39913 | + | 29.3714i | 0.0663253 | + | 1.39234i | ||||
\(446\) | −15.1263 | − | 10.7714i | −0.716250 | − | 0.510039i | ||||
\(447\) | 6.61414 | − | 1.94209i | 0.312838 | − | 0.0918576i | ||||
\(448\) | −0.134468 | + | 2.64233i | −0.00635303 | + | 0.124838i | ||||
\(449\) | 9.68946 | − | 11.1822i | 0.457274 | − | 0.527722i | −0.479554 | − | 0.877512i | \(-0.659202\pi\) |
0.936828 | + | 0.349790i | \(0.113747\pi\) | |||||||
\(450\) | 2.23770 | + | 2.13364i | 0.105486 | + | 0.100581i | ||||
\(451\) | −31.3203 | − | 2.99072i | −1.47481 | − | 0.140828i | ||||
\(452\) | −8.75830 | + | 0.417209i | −0.411956 | + | 0.0196239i | ||||
\(453\) | 12.2691 | − | 2.97646i | 0.576454 | − | 0.139846i | ||||
\(454\) | −0.103933 | − | 0.722870i | −0.00487782 | − | 0.0339260i | ||||
\(455\) | −15.6364 | − | 16.5059i | −0.733046 | − | 0.773811i | ||||
\(456\) | −6.72776 | − | 0.967306i | −0.315056 | − | 0.0452982i | ||||
\(457\) | 1.31078 | + | 0.0624403i | 0.0613159 | + | 0.00292084i | 0.0782174 | − | 0.996936i | \(-0.475077\pi\) |
−0.0169016 | + | 0.999857i | \(0.505380\pi\) | |||||||
\(458\) | 13.5116 | − | 2.60415i | 0.631356 | − | 0.121684i | ||||
\(459\) | −6.46479 | − | 3.73245i | −0.301750 | − | 0.174216i | ||||
\(460\) | −10.9255 | − | 8.16991i | −0.509402 | − | 0.380924i | ||||
\(461\) | − | 18.3315i | − | 0.853782i | −0.904303 | − | 0.426891i | \(-0.859609\pi\) | ||
0.904303 | − | 0.426891i | \(-0.140391\pi\) | |||||||
\(462\) | 6.02103 | − | 6.90323i | 0.280124 | − | 0.321167i | ||||
\(463\) | 0.306737 | + | 0.197128i | 0.0142553 | + | 0.00916130i | 0.547749 | − | 0.836643i | \(-0.315485\pi\) |
−0.533494 | + | 0.845804i | \(0.679121\pi\) | |||||||
\(464\) | −3.78009 | + | 1.51332i | −0.175486 | + | 0.0702542i | ||||
\(465\) | 7.11998 | + | 9.99861i | 0.330181 | + | 0.463674i | ||||
\(466\) | −4.37854 | − | 1.75290i | −0.202832 | − | 0.0812016i | ||||
\(467\) | 1.30010 | + | 5.35907i | 0.0601613 | + | 0.247988i | 0.993950 | − | 0.109838i | \(-0.0350332\pi\) |
−0.933788 | + | 0.357826i | \(0.883518\pi\) | |||||||
\(468\) | 1.63326 | + | 2.54141i | 0.0754977 | + | 0.117477i | ||||
\(469\) | −4.37212 | − | 6.85196i | −0.201886 | − | 0.316394i | ||||
\(470\) | 4.81565 | + | 16.4006i | 0.222129 | + | 0.756503i | ||||
\(471\) | −3.85199 | + | 19.9860i | −0.177490 | + | 0.920907i | ||||
\(472\) | 9.92084 | − | 3.43364i | 0.456644 | − | 0.158046i | ||||
\(473\) | 5.76059 | − | 23.7455i | 0.264872 | − | 1.09182i | ||||
\(474\) | −2.39993 | + | 3.37024i | −0.110233 | + | 0.154800i | ||||
\(475\) | 17.6792 | − | 11.3617i | 0.811179 | − | 0.521313i | ||||
\(476\) | 15.4850 | + | 12.2591i | 0.709755 | + | 0.561896i | ||||
\(477\) | 7.34469 | − | 1.05601i | 0.336290 | − | 0.0483512i | ||||
\(478\) | −19.6515 | + | 1.87649i | −0.898840 | + | 0.0858288i | ||||
\(479\) | −15.1696 | − | 11.9295i | −0.693115 | − | 0.545071i | 0.208280 | − | 0.978069i | \(-0.433213\pi\) |
−0.901395 | + | 0.432998i | \(0.857456\pi\) | |||||||
\(480\) | 1.30348 | + | 2.52840i | 0.0594955 | + | 0.115405i | ||||
\(481\) | 9.10238 | − | 26.2996i | 0.415033 | − | 1.19916i | ||||
\(482\) | −24.1576 | −1.10035 | ||||||||
\(483\) | −8.94765 | − | 8.99665i | −0.407132 | − | 0.409362i | ||||
\(484\) | −0.986769 | −0.0448531 | ||||||||
\(485\) | 0.336260 | − | 0.971561i | 0.0152688 | − | 0.0441163i | ||||
\(486\) | −0.458227 | − | 0.888835i | −0.0207856 | − | 0.0403184i | ||||
\(487\) | −13.5504 | − | 10.6562i | −0.614028 | − | 0.482877i | 0.262045 | − | 0.965056i | \(-0.415603\pi\) |
−0.876073 | + | 0.482179i | \(0.839846\pi\) | |||||||
\(488\) | −6.87121 | + | 0.656121i | −0.311045 | + | 0.0297012i | ||||
\(489\) | 5.99778 | − | 0.862351i | 0.271229 | − | 0.0389968i | ||||
\(490\) | −9.84401 | − | 17.3089i | −0.444707 | − | 0.781936i | ||||
\(491\) | −18.3165 | + | 11.7713i | −0.826613 | + | 0.531232i | −0.884200 | − | 0.467109i | \(-0.845296\pi\) |
0.0575872 | + | 0.998340i | \(0.481659\pi\) | |||||||
\(492\) | 5.27128 | − | 7.40247i | 0.237648 | − | 0.333729i | ||||
\(493\) | −7.16595 | + | 29.5385i | −0.322738 | + | 1.33035i | ||||
\(494\) | 19.4041 | − | 6.71582i | 0.873032 | − | 0.302159i | ||||
\(495\) | 1.86387 | − | 9.67065i | 0.0837745 | − | 0.434664i | ||||
\(496\) | 1.21568 | + | 4.14023i | 0.0545858 | + | 0.185902i | ||||
\(497\) | 11.5443 | + | 5.99902i | 0.517833 | + | 0.269093i | ||||
\(498\) | −7.19377 | − | 11.1937i | −0.322360 | − | 0.501603i | ||||
\(499\) | 6.67719 | + | 27.5238i | 0.298912 | + | 1.23213i | 0.901041 | + | 0.433734i | \(0.142804\pi\) |
−0.602129 | + | 0.798399i | \(0.705681\pi\) | |||||||
\(500\) | 5.03907 | + | 2.01734i | 0.225354 | + | 0.0902181i | ||||
\(501\) | −5.00420 | − | 7.02741i | −0.223571 | − | 0.313961i | ||||
\(502\) | 2.34123 | − | 0.937289i | 0.104494 | − | 0.0418332i | ||||
\(503\) | 32.9583 | + | 21.1810i | 1.46954 | + | 0.944414i | 0.998042 | + | 0.0625456i | \(0.0199219\pi\) |
0.471495 | + | 0.881869i | \(0.343714\pi\) | |||||||
\(504\) | 0.857220 | + | 2.50303i | 0.0381836 | + | 0.111494i | ||||
\(505\) | − | 32.7016i | − | 1.45520i | ||||||
\(506\) | −1.17598 | + | 16.5624i | −0.0522788 | + | 0.736288i | ||||
\(507\) | 3.35471 | + | 1.93684i | 0.148988 | + | 0.0860182i | ||||
\(508\) | 15.8265 | − | 3.05030i | 0.702186 | − | 0.135335i | ||||
\(509\) | 20.7203 | + | 0.987028i | 0.918409 | + | 0.0437492i | 0.501460 | − | 0.865181i | \(-0.332796\pi\) |
0.416949 | + | 0.908930i | \(0.363099\pi\) | |||||||
\(510\) | 21.0187 | + | 3.02203i | 0.930722 | + | 0.133818i | ||||
\(511\) | −7.64714 | + | 25.7344i | −0.338290 | + | 1.13842i | ||||
\(512\) | 0.142315 | + | 0.989821i | 0.00628949 | + | 0.0437443i | ||||
\(513\) | −6.60535 | + | 1.60244i | −0.291633 | + | 0.0707494i | ||||
\(514\) | 4.50261 | − | 0.214486i | 0.198601 | − | 0.00946055i | ||||
\(515\) | 15.3472 | + | 1.46548i | 0.676278 | + | 0.0645768i | ||||
\(516\) | 5.10772 | + | 4.87020i | 0.224855 | + | 0.214398i | ||||
\(517\) | 13.6236 | − | 15.7225i | 0.599167 | − | 0.691475i | ||||
\(518\) | 13.2438 | − | 20.4614i | 0.581900 | − | 0.899023i | ||||
\(519\) | 16.2185 | − | 4.76219i | 0.711914 | − | 0.209037i | ||||
\(520\) | −7.00010 | − | 4.98475i | −0.306975 | − | 0.218596i | ||||
\(521\) | 1.45926 | + | 30.6337i | 0.0639315 | + | 1.34209i | 0.771855 | + | 0.635798i | \(0.219329\pi\) |
−0.707924 | + | 0.706289i | \(0.750368\pi\) | |||||||
\(522\) | −2.94687 | + | 2.80984i | −0.128981 | + | 0.122983i | ||||
\(523\) | 29.2795 | − | 23.0256i | 1.28030 | − | 1.00684i | 0.281420 | − | 0.959585i | \(-0.409195\pi\) |
0.998883 | − | 0.0472567i | \(-0.0150479\pi\) | |||||||
\(524\) | 17.4615 | + | 7.97439i | 0.762808 | + | 0.348363i | ||||
\(525\) | −7.07108 | − | 4.11315i | −0.308607 | − | 0.179513i | ||||
\(526\) | −6.84256 | + | 10.6472i | −0.298350 | + | 0.464242i | ||||
\(527\) | 30.4396 | + | 10.5352i | 1.32597 | + | 0.458923i | ||||
\(528\) | 1.73110 | − | 2.99835i | 0.0753363 | − | 0.130486i | ||||
\(529\) | 22.7693 | + | 3.24976i | 0.989968 | + | 0.141294i | ||||
\(530\) | −18.2798 | + | 10.5539i | −0.794025 | + | 0.458430i | ||||
\(531\) | 7.93404 | − | 6.87488i | 0.344308 | − | 0.298345i | ||||
\(532\) | 17.9070 | − | 1.65127i | 0.776369 | − | 0.0715917i | ||||
\(533\) | −3.90700 | + | 27.1738i | −0.169231 | + | 1.17703i | ||||
\(534\) | 0.982590 | + | 10.2901i | 0.0425208 | + | 0.445298i | ||||
\(535\) | 14.6320 | − | 36.5491i | 0.632598 | − | 1.58015i | ||||
\(536\) | −2.12000 | − | 2.22339i | −0.0915699 | − | 0.0960357i | ||||
\(537\) | −5.00434 | + | 9.70707i | −0.215953 | + | 0.418891i | ||||
\(538\) | 16.5362 | − | 7.55183i | 0.712926 | − | 0.325582i | ||||
\(539\) | −11.2449 | + | 21.4687i | −0.484352 | + | 0.924721i | ||||
\(540\) | 2.14982 | + | 1.86283i | 0.0925136 | + | 0.0801635i | ||||
\(541\) | 10.5818 | + | 2.03948i | 0.454949 | + | 0.0876841i | 0.411577 | − | 0.911375i | \(-0.364978\pi\) |
0.0433713 | + | 0.999059i | \(0.486190\pi\) | |||||||
\(542\) | 22.8457 | + | 5.54231i | 0.981308 | + | 0.238063i | ||||
\(543\) | 0.495513 | − | 5.18924i | 0.0212645 | − | 0.222692i | ||||
\(544\) | 6.63506 | + | 3.42061i | 0.284476 | + | 0.146658i | ||||
\(545\) | −4.37685 | + | 14.9062i | −0.187483 | + | 0.638510i | ||||
\(546\) | −5.76670 | − | 5.53438i | −0.246792 | − | 0.236850i | ||||
\(547\) | 0.470106 | − | 1.02939i | 0.0201003 | − | 0.0440135i | −0.899316 | − | 0.437300i | \(-0.855935\pi\) |
0.919416 | + | 0.393287i | \(0.128662\pi\) | |||||||
\(548\) | 5.07919 | + | 12.6872i | 0.216972 | + | 0.541970i | ||||
\(549\) | −6.13515 | + | 3.16289i | −0.261842 | + | 0.134989i | ||||
\(550\) | 2.02588 | + | 10.5112i | 0.0863836 | + | 0.448201i | ||||
\(551\) | 13.8378 | + | 23.9677i | 0.589508 | + | 1.02106i | ||||
\(552\) | −3.97305 | − | 2.68605i | −0.169104 | − | 0.114326i | ||||
\(553\) | 4.10140 | − | 10.1492i | 0.174409 | − | 0.431587i | ||||
\(554\) | −1.22732 | − | 1.41641i | −0.0521440 | − | 0.0601774i | ||||
\(555\) | 1.24691 | − | 26.1759i | 0.0529285 | − | 1.11111i | ||||
\(556\) | 9.51837 | − | 12.1036i | 0.403669 | − | 0.513307i | ||||
\(557\) | −12.0849 | + | 8.60564i | −0.512055 | + | 0.364633i | −0.806688 | − | 0.590978i | \(-0.798742\pi\) |
0.294633 | + | 0.955611i | \(0.404803\pi\) | |||||||
\(558\) | 2.66737 | + | 3.39184i | 0.112919 | + | 0.143588i | ||||
\(559\) | −20.4568 | − | 6.00665i | −0.865229 | − | 0.254054i | ||||
\(560\) | −4.91010 | − | 5.70387i | −0.207490 | − | 0.241032i | ||||
\(561\) | −10.7364 | − | 23.5093i | −0.453289 | − | 0.992565i | ||||
\(562\) | 10.5529 | − | 11.0676i | 0.445149 | − | 0.466859i | ||||
\(563\) | 1.31204 | + | 3.79090i | 0.0552960 | + | 0.159767i | 0.969266 | − | 0.246014i | \(-0.0791208\pi\) |
−0.913970 | + | 0.405781i | \(0.867000\pi\) | |||||||
\(564\) | 1.96531 | + | 5.67839i | 0.0827544 | + | 0.239103i | ||||
\(565\) | 17.2122 | − | 18.0516i | 0.724122 | − | 0.759437i | ||||
\(566\) | −12.2610 | − | 26.8478i | −0.515368 | − | 1.12850i | ||||
\(567\) | 1.72610 | + | 2.00514i | 0.0724893 | + | 0.0842079i | ||||
\(568\) | 4.71812 | + | 1.38537i | 0.197968 | + | 0.0581287i | ||||
\(569\) | −7.34343 | − | 9.33794i | −0.307853 | − | 0.391467i | 0.607367 | − | 0.794421i | \(-0.292226\pi\) |
−0.915220 | + | 0.402955i | \(0.867983\pi\) | |||||||
\(570\) | 15.7496 | − | 11.2152i | 0.659679 | − | 0.469755i | ||||
\(571\) | 5.01746 | − | 6.38021i | 0.209974 | − | 0.267004i | −0.669646 | − | 0.742680i | \(-0.733554\pi\) |
0.879620 | + | 0.475677i | \(0.157797\pi\) | |||||||
\(572\) | −0.497669 | + | 10.4474i | −0.0208086 | + | 0.436826i | ||||
\(573\) | 7.22555 | + | 8.33873i | 0.301852 | + | 0.348355i | ||||
\(574\) | −9.00841 | + | 22.2919i | −0.376004 | + | 0.930446i | ||||
\(575\) | 14.7224 | − | 1.76797i | 0.613965 | − | 0.0737296i | ||||
\(576\) | 0.500000 | + | 0.866025i | 0.0208333 | + | 0.0360844i | ||||
\(577\) | 0.885237 | + | 4.59304i | 0.0368529 | + | 0.191211i | 0.995690 | − | 0.0927466i | \(-0.0295646\pi\) |
−0.958837 | + | 0.283958i | \(0.908353\pi\) | |||||||
\(578\) | 34.4198 | − | 17.7447i | 1.43168 | − | 0.738080i | ||||
\(579\) | 0.379381 | + | 0.947648i | 0.0157665 | + | 0.0393829i | ||||
\(580\) | 4.81160 | − | 10.5359i | 0.199791 | − | 0.437481i | ||||
\(581\) | 25.3996 | + | 24.3764i | 1.05375 | + | 1.01130i | ||||
\(582\) | 0.101824 | − | 0.346781i | 0.00422074 | − | 0.0143745i | ||||
\(583\) | 22.8344 | + | 11.7719i | 0.945703 | + | 0.487544i | ||||
\(584\) | −0.964539 | + | 10.1011i | −0.0399129 | + | 0.417987i | ||||
\(585\) | −8.35131 | − | 2.02601i | −0.345284 | − | 0.0837650i | ||||
\(586\) | −3.55772 | − | 0.685694i | −0.146968 | − | 0.0283258i | ||||
\(587\) | 18.9790 | + | 16.4454i | 0.783349 | + | 0.678776i | 0.951727 | − | 0.306947i | \(-0.0993073\pi\) |
−0.168378 | + | 0.985723i | \(0.553853\pi\) | |||||||
\(588\) | −3.74617 | − | 5.91322i | −0.154490 | − | 0.243857i | ||||
\(589\) | 26.6786 | − | 12.1837i | 1.09927 | − | 0.502020i | ||||
\(590\) | −13.6843 | + | 26.5438i | −0.563372 | + | 1.09279i | ||||
\(591\) | −3.60053 | − | 3.77613i | −0.148106 | − | 0.155329i | ||||
\(592\) | 3.42387 | − | 8.55243i | 0.140720 | − | 0.351503i | ||||
\(593\) | −0.529073 | − | 5.54070i | −0.0217264 | − | 0.227529i | −0.999813 | − | 0.0193314i | \(-0.993846\pi\) |
0.978087 | − | 0.208198i | \(-0.0667598\pi\) | |||||||
\(594\) | 0.492721 | − | 3.42695i | 0.0202166 | − | 0.140610i | ||||
\(595\) | −55.9447 | + | 5.15886i | −2.29351 | + | 0.211493i | ||||
\(596\) | −5.20966 | + | 4.51420i | −0.213396 | + | 0.184909i | ||||
\(597\) | 10.5610 | − | 6.09742i | 0.432234 | − | 0.249551i | ||||
\(598\) | 14.3865 | + | 1.71260i | 0.588309 | + | 0.0700333i | ||||
\(599\) | −7.37177 | + | 12.7683i | −0.301202 | + | 0.521698i | −0.976409 | − | 0.215931i | \(-0.930721\pi\) |
0.675206 | + | 0.737629i | \(0.264055\pi\) | |||||||
\(600\) | −2.92183 | − | 1.01126i | −0.119283 | − | 0.0412843i | ||||
\(601\) | −4.98461 | + | 7.75620i | −0.203326 | + | 0.316382i | −0.927910 | − | 0.372805i | \(-0.878396\pi\) |
0.724583 | + | 0.689187i | \(0.242032\pi\) | |||||||
\(602\) | −16.1403 | − | 9.38857i | −0.657828 | − | 0.382650i | ||||
\(603\) | −2.79449 | − | 1.27620i | −0.113800 | − | 0.0519708i | ||||
\(604\) | −9.92392 | + | 7.80426i | −0.403799 | + | 0.317551i | ||||
\(605\) | 2.03151 | − | 1.93704i | 0.0825927 | − | 0.0787520i | ||||
\(606\) | −0.546999 | − | 11.4829i | −0.0222203 | − | 0.466462i | ||||
\(607\) | −21.2230 | − | 15.1128i | −0.861415 | − | 0.613411i | 0.0616317 | − | 0.998099i | \(-0.480370\pi\) |
−0.923047 | + | 0.384688i | \(0.874309\pi\) | |||||||
\(608\) | 6.52162 | − | 1.91492i | 0.264487 | − | 0.0776602i | ||||
\(609\) | 5.85364 | − | 9.04376i | 0.237202 | − | 0.366472i | ||||
\(610\) | 12.8581 | − | 14.8391i | 0.520610 | − | 0.600816i | ||||
\(611\) | −13.1377 | − | 12.5268i | −0.531495 | − | 0.506779i | ||||
\(612\) | 7.43109 | + | 0.709583i | 0.300384 | + | 0.0286832i | ||||
\(613\) | −15.6649 | + | 0.746213i | −0.632701 | + | 0.0301393i | −0.361483 | − | 0.932379i | \(-0.617729\pi\) |
−0.271218 | + | 0.962518i | \(0.587426\pi\) | |||||||
\(614\) | −12.1460 | + | 2.94658i | −0.490172 | + | 0.118914i | ||||
\(615\) | 3.67892 | + | 25.5874i | 0.148348 | + | 1.03179i | ||||
\(616\) | −2.60922 | + | 8.78063i | −0.105128 | + | 0.353781i | ||||
\(617\) | 15.8325 | + | 2.27638i | 0.637394 | + | 0.0916435i | 0.453433 | − | 0.891290i | \(-0.350199\pi\) |
0.183961 | + | 0.982934i | \(0.441108\pi\) | |||||||
\(618\) | 5.41356 | + | 0.257880i | 0.217765 | + | 0.0103734i | ||||
\(619\) | 22.0914 | − | 4.25777i | 0.887928 | − | 0.171134i | 0.275162 | − | 0.961398i | \(-0.411269\pi\) |
0.612767 | + | 0.790264i | \(0.290056\pi\) | |||||||
\(620\) | −10.6301 | − | 6.13731i | −0.426916 | − | 0.246480i | ||||
\(621\) | −4.68676 | − | 1.01701i | −0.188073 | − | 0.0408113i | ||||
\(622\) | 18.2660i | 0.732400i | ||||||||
\(623\) | −8.86104 | − | 25.8737i | −0.355010 | − | 1.03661i | ||||
\(624\) | −2.54141 | − | 1.63326i | −0.101738 | − | 0.0653829i | ||||
\(625\) | −28.6863 | + | 11.4842i | −1.14745 | + | 0.459370i | ||||
\(626\) | 2.39943 | + | 3.36952i | 0.0959004 | + | 0.134673i | ||||
\(627\) | −21.8466 | − | 8.74608i | −0.872471 | − | 0.349285i | ||||
\(628\) | −4.79860 | − | 19.7801i | −0.191485 | − | 0.789312i | ||||
\(629\) | −37.1793 | − | 57.8522i | −1.48244 | − | 2.30672i | ||||
\(630\) | −6.67829 | − | 3.47039i | −0.266070 | − | 0.138264i | ||||
\(631\) | 10.4061 | + | 35.4401i | 0.414262 | + | 1.41085i | 0.857519 | + | 0.514453i | \(0.172005\pi\) |
−0.443256 | + | 0.896395i | \(0.646177\pi\) | |||||||
\(632\) | 0.783010 | − | 4.06264i | 0.0311465 | − | 0.161603i | ||||
\(633\) | 13.8990 | − | 4.81051i | 0.552437 | − | 0.191200i | ||||
\(634\) | −6.95117 | + | 28.6531i | −0.276066 | + | 1.13796i | ||||
\(635\) | −26.5950 | + | 37.3474i | −1.05539 | + | 1.48209i | ||||
\(636\) | −6.24228 | + | 4.01167i | −0.247523 | + | 0.159073i | ||||
\(637\) | 18.2447 | + | 10.6921i | 0.722881 | + | 0.423637i | ||||
\(638\) | −13.9537 | + | 2.00624i | −0.552433 | + | 0.0794279i | ||||
\(639\) | 4.89504 | − | 0.467420i | 0.193645 | − | 0.0184908i | ||||
\(640\) | −2.23602 | − | 1.75843i | −0.0883866 | − | 0.0695080i | ||||
\(641\) | 9.60416 | + | 18.6295i | 0.379341 | + | 0.735820i | 0.998788 | − | 0.0492192i | \(-0.0156733\pi\) |
−0.619447 | + | 0.785039i | \(0.712643\pi\) | |||||||
\(642\) | 4.52657 | − | 13.0787i | 0.178650 | − | 0.516174i | ||||
\(643\) | 39.7237 | 1.56655 | 0.783275 | − | 0.621675i | \(-0.213548\pi\) | ||||
0.783275 | + | 0.621675i | \(0.213548\pi\) | |||||||
\(644\) | 11.8764 | + | 4.46665i | 0.467996 | + | 0.176011i | ||||
\(645\) | −20.0758 | −0.790483 | ||||||||
\(646\) | 16.5949 | − | 47.9479i | 0.652918 | − | 1.88648i | ||||
\(647\) | 1.65484 | + | 3.20994i | 0.0650585 | + | 0.126196i | 0.919122 | − | 0.393972i | \(-0.128899\pi\) |
−0.854064 | + | 0.520168i | \(0.825869\pi\) | |||||||
\(648\) | 0.786053 | + | 0.618159i | 0.0308791 | + | 0.0242836i | ||||
\(649\) | 36.1823 | − | 3.45499i | 1.42028 | − | 0.135620i | ||||
\(650\) | 9.24544 | − | 1.32929i | 0.362636 | − | 0.0521392i | ||||
\(651\) | −8.95100 | − | 7.08629i | −0.350817 | − | 0.277734i | ||||
\(652\) | −5.09754 | + | 3.27599i | −0.199635 | + | 0.128298i | ||||
\(653\) | −21.2929 | + | 29.9017i | −0.833256 | + | 1.17014i | 0.150139 | + | 0.988665i | \(0.452028\pi\) |
−0.983395 | + | 0.181479i | \(0.941912\pi\) | |||||||
\(654\) | −1.28756 | + | 5.30740i | −0.0503476 | + | 0.207536i | ||||
\(655\) | −51.6027 | + | 17.8599i | −2.01628 | + | 0.697842i | ||||
\(656\) | −1.71982 | + | 8.92329i | −0.0671478 | + | 0.348396i | ||||
\(657\) | 2.85876 | + | 9.73603i | 0.111531 | + | 0.379839i | ||||
\(658\) | −8.55164 | − | 13.4021i | −0.333377 | − | 0.522467i | ||||
\(659\) | 5.40943 | + | 8.41724i | 0.210722 | + | 0.327889i | 0.930485 | − | 0.366330i | \(-0.119386\pi\) |
−0.719763 | + | 0.694220i | \(0.755750\pi\) | |||||||
\(660\) | 2.32190 | + | 9.57101i | 0.0903799 | + | 0.372551i | ||||
\(661\) | −21.7020 | − | 8.68816i | −0.844109 | − | 0.337930i | −0.0910201 | − | 0.995849i | \(-0.529013\pi\) |
−0.753089 | + | 0.657919i | \(0.771437\pi\) | |||||||
\(662\) | −16.9673 | − | 23.8273i | −0.659454 | − | 0.926074i | ||||
\(663\) | −20.9359 | + | 8.38147i | −0.813083 | + | 0.325509i | ||||
\(664\) | 11.1937 | + | 7.19377i | 0.434401 | + | 0.279172i | ||||
\(665\) | −33.6247 | + | 38.5513i | −1.30391 | + | 1.49496i | ||||
\(666\) | − | 9.21232i | − | 0.356970i | ||||||
\(667\) | 1.40312 | + | 19.4770i | 0.0543289 | + | 0.754153i | ||||
\(668\) | 7.47127 | + | 4.31354i | 0.289072 | + | 0.166896i | ||||
\(669\) | 18.2339 | − | 3.51430i | 0.704965 | − | 0.135871i | ||||
\(670\) | 8.72909 | + | 0.415818i | 0.337234 | + | 0.0160644i | ||||
\(671\) | −23.6544 | − | 3.40099i | −0.913168 | − | 0.131294i | ||||
\(672\) | −1.81955 | − | 1.92074i | −0.0701907 | − | 0.0740940i | ||||
\(673\) | −3.62514 | − | 25.2134i | −0.139739 | − | 0.971905i | −0.932190 | − | 0.361970i | \(-0.882104\pi\) |
0.792451 | − | 0.609935i | \(-0.208805\pi\) | |||||||
\(674\) | −7.69782 | + | 1.86747i | −0.296509 | + | 0.0719323i | ||||
\(675\) | −3.08838 | + | 0.147118i | −0.118872 | + | 0.00566256i | ||||
\(676\) | −3.85614 | − | 0.368217i | −0.148313 | − | 0.0141622i | ||||
\(677\) | −18.1298 | − | 17.2867i | −0.696783 | − | 0.664381i | 0.256471 | − | 0.966552i | \(-0.417440\pi\) |
−0.953254 | + | 0.302171i | \(0.902289\pi\) | |||||||
\(678\) | 5.74197 | − | 6.62659i | 0.220519 | − | 0.254493i | ||||
\(679\) | −0.0485996 | + | 0.954993i | −0.00186508 | + | 0.0366493i | ||||
\(680\) | −20.3746 | + | 5.98254i | −0.781332 | + | 0.229420i | ||||
\(681\) | 0.594888 | + | 0.423618i | 0.0227962 | + | 0.0162331i | ||||
\(682\) | 0.710847 | + | 14.9225i | 0.0272197 | + | 0.571413i | ||||
\(683\) | −19.6752 | + | 18.7603i | −0.752852 | + | 0.717843i | −0.965819 | − | 0.259217i | \(-0.916536\pi\) |
0.212967 | + | 0.977059i | \(0.431687\pi\) | |||||||
\(684\) | 5.34276 | − | 4.20159i | 0.204285 | − | 0.160652i | ||||
\(685\) | −35.3619 | − | 16.1493i | −1.35111 | − | 0.617032i | ||||
\(686\) | 13.2786 | + | 12.9104i | 0.506981 | + | 0.492920i | ||||
\(687\) | −7.43937 | + | 11.5759i | −0.283830 | + | 0.441648i | ||||
\(688\) | −6.66929 | − | 2.30827i | −0.254264 | − | 0.0880018i | ||||
\(689\) | 11.2082 | − | 19.4131i | 0.426997 | − | 0.739580i | ||||
\(690\) | 13.4523 | − | 2.26924i | 0.512120 | − | 0.0863886i | ||||
\(691\) | 9.35073 | − | 5.39865i | 0.355719 | − | 0.205374i | −0.311482 | − | 0.950252i | \(-0.600825\pi\) |
0.667201 | + | 0.744878i | \(0.267492\pi\) | |||||||
\(692\) | −12.7746 | + | 11.0693i | −0.485617 | + | 0.420790i | ||||
\(693\) | 0.841117 | + | 9.12140i | 0.0319514 | + | 0.346493i | ||||
\(694\) | −4.72001 | + | 32.8284i | −0.179169 | + | 1.24615i | ||||
\(695\) | 4.16358 | + | 43.6030i | 0.157934 | + | 1.65396i | ||||
\(696\) | 1.51332 | − | 3.78009i | 0.0573623 | − | 0.143284i | ||||
\(697\) | 46.8131 | + | 49.0962i | 1.77317 | + | 1.85965i | ||||
\(698\) | −3.78147 | + | 7.33502i | −0.143131 | + | 0.277635i | ||||
\(699\) | 4.29017 | − | 1.95925i | 0.162269 | − | 0.0741058i | ||||
\(700\) | 8.14074 | + | 0.804023i | 0.307691 | + | 0.0303892i | ||||
\(701\) | −5.92159 | − | 5.13109i | −0.223656 | − | 0.193799i | 0.535824 | − | 0.844330i | \(-0.320001\pi\) |
−0.759480 | + | 0.650531i | \(0.774546\pi\) | |||||||
\(702\) | −2.96639 | − | 0.571724i | −0.111959 | − | 0.0215783i | ||||
\(703\) | −60.8506 | − | 14.7622i | −2.29502 | − | 0.556767i | ||||
\(704\) | −0.329102 | + | 3.44651i | −0.0124035 | + | 0.129895i | ||||
\(705\) | −15.1928 | − | 7.83245i | −0.572196 | − | 0.294987i | ||||
\(706\) | −8.56658 | + | 29.1751i | −0.322407 | + | 1.09802i | ||||
\(707\) | 8.47423 | + | 29.2110i | 0.318706 | + | 1.09859i | ||||
\(708\) | −4.36113 | + | 9.54953i | −0.163901 | + | 0.358893i | ||||
\(709\) | 10.2877 | + | 25.6974i | 0.386362 | + | 0.965085i | 0.986289 | + | 0.165030i | \(0.0527721\pi\) |
−0.599927 | + | 0.800055i | \(0.704804\pi\) | |||||||
\(710\) | −12.4329 | + | 6.40962i | −0.466600 | + | 0.240549i | ||||
\(711\) | −0.783010 | − | 4.06264i | −0.0293652 | − | 0.152361i | ||||
\(712\) | −5.16848 | − | 8.95206i | −0.193697 | − | 0.335493i | ||||
\(713\) | 20.6885 | + | 0.481806i | 0.774791 | + | 0.0180438i | ||||
\(714\) | −19.5582 | + | 2.74728i | −0.731949 | + | 0.102814i | ||||
\(715\) | −19.4837 | − | 22.4854i | −0.728651 | − | 0.840908i | ||||
\(716\) | 0.519647 | − | 10.9087i | 0.0194201 | − | 0.407679i | ||||
\(717\) | 12.2030 | − | 15.5174i | 0.455730 | − | 0.579508i | ||||
\(718\) | 10.2704 | − | 7.31355i | 0.383289 | − | 0.272939i | ||||
\(719\) | −15.0851 | − | 19.1823i | −0.562580 | − | 0.715378i | 0.418666 | − | 0.908140i | \(-0.362498\pi\) |
−0.981246 | + | 0.192762i | \(0.938255\pi\) | |||||||
\(720\) | −2.72940 | − | 0.801423i | −0.101719 | − | 0.0298673i | ||||
\(721\) | −14.0888 | + | 2.66799i | −0.524694 | + | 0.0993610i | ||||
\(722\) | −11.2986 | − | 24.7405i | −0.420491 | − | 0.920748i | ||||
\(723\) | 16.6706 | − | 17.4837i | 0.619987 | − | 0.650224i | ||||
\(724\) | 1.70496 | + | 4.92615i | 0.0633642 | + | 0.183079i | ||||
\(725\) | 4.11759 | + | 11.8970i | 0.152923 | + | 0.441843i | ||||
\(726\) | 0.680949 | − | 0.714159i | 0.0252724 | − | 0.0265049i | ||||
\(727\) | 8.42752 | + | 18.4537i | 0.312559 | + | 0.684409i | 0.999088 | − | 0.0426931i | \(-0.0135938\pi\) |
−0.686529 | + | 0.727102i | \(0.740866\pi\) | |||||||
\(728\) | 7.54464 | + | 2.63868i | 0.279623 | + | 0.0977960i | ||||
\(729\) | 0.959493 | + | 0.281733i | 0.0355368 | + | 0.0104345i | ||||
\(730\) | −17.8429 | − | 22.6891i | −0.660395 | − | 0.839761i | ||||
\(731\) | −42.9144 | + | 30.5592i | −1.58725 | + | 1.13027i | ||||
\(732\) | 4.26682 | − | 5.42570i | 0.157706 | − | 0.200540i | ||||
\(733\) | 1.75324 | − | 36.8049i | 0.0647572 | − | 1.35942i | −0.699557 | − | 0.714577i | \(-0.746619\pi\) |
0.764314 | − | 0.644844i | \(-0.223078\pi\) | |||||||
\(734\) | 12.3164 | + | 14.2139i | 0.454606 | + | 0.524643i | ||||
\(735\) | 19.3202 | + | 4.82005i | 0.712635 | + | 0.177790i | ||||
\(736\) | 4.72984 | + | 0.792854i | 0.174344 | + | 0.0292250i | ||||
\(737\) | −5.31811 | − | 9.21124i | −0.195895 | − | 0.339300i | ||||
\(738\) | 1.71982 | + | 8.92329i | 0.0633076 | + | 0.328471i | ||||
\(739\) | −11.9482 | + | 6.15970i | −0.439520 | + | 0.226588i | −0.663760 | − | 0.747946i | \(-0.731040\pi\) |
0.224240 | + | 0.974534i | \(0.428010\pi\) | |||||||
\(740\) | 9.73963 | + | 24.3284i | 0.358036 | + | 0.894331i | ||||
\(741\) | −8.52989 | + | 18.6779i | −0.313353 | + | 0.686148i | ||||
\(742\) | 13.5937 | − | 14.1643i | 0.499041 | − | 0.519989i | ||||
\(743\) | 7.46231 | − | 25.4143i | 0.273766 | − | 0.932360i | −0.701749 | − | 0.712425i | \(-0.747597\pi\) |
0.975514 | − | 0.219936i | \(-0.0705848\pi\) | |||||||
\(744\) | −3.83535 | − | 1.97726i | −0.140611 | − | 0.0724898i | ||||
\(745\) | 1.86396 | − | 19.5203i | 0.0682902 | − | 0.715167i | ||||
\(746\) | 11.5945 | + | 2.81280i | 0.424506 | + | 0.102984i | ||||
\(747\) | 13.0655 | + | 2.51818i | 0.478043 | + | 0.0921353i | ||||
\(748\) | 19.5323 | + | 16.9248i | 0.714170 | + | 0.618832i | ||||
\(749\) | −3.59896 | + | 36.4395i | −0.131503 | + | 1.33147i | ||||
\(750\) | −4.93737 | + | 2.25482i | −0.180287 | + | 0.0823345i | ||||
\(751\) | 10.1458 | − | 19.6802i | 0.370227 | − | 0.718141i | −0.627965 | − | 0.778242i | \(-0.716112\pi\) |
0.998192 | + | 0.0601009i | \(0.0191422\pi\) | |||||||
\(752\) | −4.14660 | − | 4.34882i | −0.151211 | − | 0.158585i | ||||
\(753\) | −0.937289 | + | 2.34123i | −0.0341567 | + | 0.0853193i | ||||
\(754\) | 1.16926 | + | 12.2450i | 0.0425818 | + | 0.445937i | ||||
\(755\) | 5.11101 | − | 35.5478i | 0.186009 | − | 1.29372i | ||||
\(756\) | −2.40308 | − | 1.10689i | −0.0873992 | − | 0.0402573i | ||||
\(757\) | 35.7060 | − | 30.9394i | 1.29776 | − | 1.12451i | 0.313153 | − | 0.949703i | \(-0.398615\pi\) |
0.984602 | − | 0.174809i | \(-0.0559307\pi\) | |||||||
\(758\) | −2.52611 | + | 1.45845i | −0.0917525 | + | 0.0529733i | ||||
\(759\) | −11.1752 | − | 12.2805i | −0.405636 | − | 0.445752i | ||||
\(760\) | −9.66737 | + | 16.7444i | −0.350672 | + | 0.607382i | ||||
\(761\) | −21.7947 | − | 7.54321i | −0.790056 | − | 0.273441i | −0.0979071 | − | 0.995196i | \(-0.531215\pi\) |
−0.692149 | + | 0.721754i | \(0.743336\pi\) | |||||||
\(762\) | −8.71391 | + | 13.5591i | −0.315671 | + | 0.491194i | ||||
\(763\) | 0.0469061 | − | 14.4493i | 0.00169812 | − | 0.523099i | ||||
\(764\) | −10.0366 | − | 4.58357i | −0.363112 | − | 0.165828i | ||||
\(765\) | −16.6917 | + | 13.1265i | −0.603489 | + | 0.474589i | ||||
\(766\) | 10.2042 | − | 9.72968i | 0.368693 | − | 0.351548i | ||||
\(767\) | −1.50906 | − | 31.6790i | −0.0544889 | − | 1.14386i | ||||
\(768\) | −0.814576 | − | 0.580057i | −0.0293935 | − | 0.0209310i | ||||
\(769\) | 51.8404 | − | 15.2217i | 1.86941 | − | 0.548909i | 0.871082 | − | 0.491138i | \(-0.163419\pi\) |
0.998330 | − | 0.0577710i | \(-0.0183993\pi\) | |||||||
\(770\) | −11.8648 | − | 23.1990i | −0.427577 | − | 0.836036i | ||||
\(771\) | −2.95192 | + | 3.40670i | −0.106311 | + | 0.122689i | ||||
\(772\) | −0.738764 | − | 0.704410i | −0.0265887 | − | 0.0253523i | ||||
\(773\) | −52.9167 | − | 5.05293i | −1.90328 | − | 0.181741i | −0.923744 | − | 0.383010i | \(-0.874888\pi\) |
−0.979536 | + | 0.201268i | \(0.935494\pi\) | |||||||
\(774\) | −7.04945 | + | 0.335807i | −0.253387 | + | 0.0120703i | ||||
\(775\) | 12.9655 | − | 3.14539i | 0.465733 | − | 0.112986i | ||||
\(776\) | 0.0514355 | + | 0.357742i | 0.00184643 | + | 0.0128422i | ||||
\(777\) | 5.66935 | + | 23.7050i | 0.203387 | + | 0.850412i | ||||
\(778\) | −36.4721 | − | 5.24389i | −1.30759 | − | 0.188003i | ||||
\(779\) | 61.6974 | + | 2.93901i | 2.21054 | + | 0.105301i | ||||
\(780\) | 8.43825 | − | 1.62634i | 0.302138 | − | 0.0582323i | ||||
\(781\) | 14.7438 | + | 8.51233i | 0.527574 | + | 0.304595i | ||||
\(782\) | 25.3016 | − | 25.3277i | 0.904784 | − | 0.905718i | ||||
\(783\) | − | 4.07176i | − | 0.145513i | ||||||
\(784\) | 5.86408 | + | 3.82264i | 0.209431 | + | 0.136523i | ||||
\(785\) | 48.7078 | + | 31.3026i | 1.73845 | + | 1.11724i | ||||
\(786\) | −17.8211 | + | 7.13450i | −0.635659 | + | 0.254479i | ||||
\(787\) | −18.9489 | − | 26.6100i | −0.675455 | − | 0.948543i | −0.999996 | − | 0.00267192i | \(-0.999150\pi\) |
0.324542 | − | 0.945871i | \(-0.394790\pi\) | |||||||
\(788\) | 4.84382 | + | 1.93917i | 0.172554 | + | 0.0690801i | ||||
\(789\) | −2.98386 | − | 12.2996i | −0.106228 | − | 0.437878i | ||||
\(790\) | 6.36301 | + | 9.90103i | 0.226386 | + | 0.352263i | ||||
\(791\) | −10.6971 | + | 20.5851i | −0.380344 | + | 0.731922i | ||||
\(792\) | 0.975412 | + | 3.32195i | 0.0346598 | + | 0.118040i | ||||
\(793\) | −3.94630 | + | 20.4754i | −0.140137 | + | 0.727102i | ||||
\(794\) | −5.20672 | + | 1.80206i | −0.184780 | + | 0.0639529i | ||||
\(795\) | 4.97633 | − | 20.5127i | 0.176492 | − | 0.727511i | ||||
\(796\) | −7.07370 | + | 9.93362i | −0.250721 | + | 0.352088i | ||||
\(797\) | −13.4810 | + | 8.66372i | −0.477522 | + | 0.306885i | −0.757170 | − | 0.653218i | \(-0.773419\pi\) |
0.279648 | + | 0.960103i | \(0.409782\pi\) | |||||||
\(798\) | −11.1622 | + | 14.0994i | −0.395137 | + | 0.499115i | ||||
\(799\) | −44.3990 | + | 6.38361i | −1.57072 | + | 0.225836i | ||||
\(800\) | 3.07788 | − | 0.293902i | 0.108820 | − | 0.0103910i | ||||
\(801\) | −8.12539 | − | 6.38988i | −0.287097 | − | 0.225775i | ||||
\(802\) | −6.39167 | − | 12.3981i | −0.225698 | − | 0.437793i | ||||
\(803\) | −11.4902 | + | 33.1989i | −0.405482 | + | 1.17156i | ||||
\(804\) | 3.07211 | 0.108345 | ||||||||
\(805\) | −33.2187 | + | 14.1178i | −1.17080 | + | 0.497589i | ||||
\(806\) | 13.0356 | 0.459159 | ||||||||
\(807\) | −5.94577 | + | 17.1792i | −0.209301 | + | 0.604735i | ||||
\(808\) | 5.26775 | + | 10.2180i | 0.185319 | + | 0.359468i | ||||
\(809\) | 5.64466 | + | 4.43901i | 0.198456 | + | 0.156067i | 0.712442 | − | 0.701731i | \(-0.247589\pi\) |
−0.513986 | + | 0.857799i | \(0.671832\pi\) | |||||||
\(810\) | −2.83174 | + | 0.270399i | −0.0994973 | + | 0.00950084i | ||||
\(811\) | 27.7569 | − | 3.99085i | 0.974678 | − | 0.140138i | 0.363469 | − | 0.931606i | \(-0.381592\pi\) |
0.611209 | + | 0.791469i | \(0.290683\pi\) | |||||||
\(812\) | −1.56775 | + | 10.6582i | −0.0550171 | + | 0.374029i | ||||
\(813\) | −19.7765 | + | 12.7096i | −0.693593 | + | 0.445745i | ||||
\(814\) | 18.5008 | − | 25.9808i | 0.648453 | − | 0.910625i | ||||
\(815\) | 4.06375 | − | 16.7510i | 0.142347 | − | 0.586762i | ||||
\(816\) | −7.05433 | + | 2.44153i | −0.246951 | + | 0.0854706i | ||||
\(817\) | −9.07820 | + | 47.1022i | −0.317606 | + | 1.64790i | ||||
\(818\) | −2.12135 | − | 7.22466i | −0.0741713 | − | 0.252604i | ||||
\(819\) | 7.98490 | − | 0.354392i | 0.279015 | − | 0.0123834i | ||||
\(820\) | −13.9759 | − | 21.7469i | −0.488059 | − | 0.759434i | ||||
\(821\) | −5.73524 | − | 23.6410i | −0.200161 | − | 0.825076i | −0.979984 | − | 0.199076i | \(-0.936206\pi\) |
0.779823 | − | 0.626000i | \(-0.215309\pi\) | |||||||
\(822\) | −12.6872 | − | 5.07919i | −0.442517 | − | 0.177157i | ||||
\(823\) | 0.124984 | + | 0.175515i | 0.00435667 | + | 0.00611808i | 0.816749 | − | 0.576994i | \(-0.195774\pi\) |
−0.812392 | + | 0.583112i | \(0.801835\pi\) | |||||||
\(824\) | −5.03148 | + | 2.01430i | −0.175280 | + | 0.0701714i | ||||
\(825\) | −9.00535 | − | 5.78739i | −0.313526 | − | 0.201491i | ||||
\(826\) | 5.34510 | − | 27.2566i | 0.185980 | − | 0.948377i | ||||
\(827\) | 40.0973i | 1.39432i | 0.716915 | + | 0.697161i | \(0.245554\pi\) | ||||
−0.716915 | + | 0.697161i | \(0.754446\pi\) | |||||||
\(828\) | 4.68571 | − | 1.02184i | 0.162840 | − | 0.0355115i | ||||
\(829\) | −23.7689 | − | 13.7230i | −0.825529 | − | 0.476620i | 0.0267902 | − | 0.999641i | \(-0.491471\pi\) |
−0.852319 | + | 0.523022i | \(0.824805\pi\) | |||||||
\(830\) | −37.1666 | + | 7.16327i | −1.29007 | + | 0.248641i | ||||
\(831\) | 1.87205 | + | 0.0891769i | 0.0649408 | + | 0.00309351i | ||||
\(832\) | 2.99023 | + | 0.429930i | 0.103668 | + | 0.0149051i | ||||
\(833\) | 48.6362 | − | 19.1056i | 1.68515 | − | 0.661969i | ||||
\(834\) | 2.19135 | + | 15.2412i | 0.0758804 | + | 0.527760i | ||||
\(835\) | −23.8490 | + | 5.78571i | −0.825329 | + | 0.200223i | ||||
\(836\) | 23.5057 | − | 1.11971i | 0.812960 | − | 0.0387261i | ||||
\(837\) | −4.29548 | − | 0.410169i | −0.148474 | − | 0.0141775i | ||||
\(838\) | −27.1544 | − | 25.8916i | −0.938032 | − | 0.894412i | ||||
\(839\) | −3.48340 | + | 4.02006i | −0.120260 | + | 0.138788i | −0.812687 | − | 0.582700i | \(-0.801996\pi\) |
0.692427 | + | 0.721488i | \(0.256542\pi\) | |||||||
\(840\) | 7.51644 | + | 0.382512i | 0.259342 | + | 0.0131979i | ||||
\(841\) | 11.9176 | − | 3.49933i | 0.410953 | − | 0.120667i | ||||
\(842\) | 4.64246 | + | 3.30588i | 0.159990 | + | 0.113928i | ||||
\(843\) | 0.727640 | + | 15.2750i | 0.0250613 | + | 0.526100i | ||||
\(844\) | −10.6447 | + | 10.1497i | −0.366404 | + | 0.349366i | ||||
\(845\) | 8.66166 | − | 6.81160i | 0.297970 | − | 0.234326i | ||||
\(846\) | −5.46586 | − | 2.49618i | −0.187920 | − | 0.0858203i | ||||
\(847\) | −1.31271 | + | 2.25672i | −0.0451051 | + | 0.0775419i | ||||
\(848\) | 4.01167 | − | 6.24228i | 0.137761 | − | 0.214361i | ||||
\(849\) | 27.8918 | + | 9.65343i | 0.957242 | + | 0.331305i | ||||
\(850\) | 11.5403 | − | 19.9884i | 0.395828 | − | 0.685595i | ||||
\(851\) | −34.0831 | − | 28.1119i | −1.16836 | − | 0.963663i | ||||
\(852\) | −4.25851 | + | 2.45865i | −0.145894 | + | 0.0842321i | ||||
\(853\) | −35.6981 | + | 30.9325i | −1.22228 | + | 1.05911i | −0.225894 | + | 0.974152i | \(0.572530\pi\) |
−0.996384 | + | 0.0849584i | \(0.972924\pi\) | |||||||
\(854\) | −7.64028 | + | 16.5872i | −0.261445 | + | 0.567601i | ||||
\(855\) | −2.75162 | + | 19.1379i | −0.0941034 | + | 0.654504i | ||||
\(856\) | 1.31556 | + | 13.7772i | 0.0449650 | + | 0.470894i | ||||
\(857\) | 5.15725 | − | 12.8822i | 0.176168 | − | 0.440047i | −0.813834 | − | 0.581097i | \(-0.802624\pi\) |
0.990002 | + | 0.141050i | \(0.0450478\pi\) | |||||||
\(858\) | −7.21768 | − | 7.56968i | −0.246408 | − | 0.258425i | ||||
\(859\) | −15.4957 | + | 30.0575i | −0.528708 | + | 1.02555i | 0.461656 | + | 0.887059i | \(0.347255\pi\) |
−0.990364 | + | 0.138491i | \(0.955775\pi\) | |||||||
\(860\) | 18.2616 | − | 8.33978i | 0.622714 | − | 0.284384i | ||||
\(861\) | −9.91690 | − | 21.9029i | −0.337967 | − | 0.746448i | ||||
\(862\) | −10.2780 | − | 8.90597i | −0.350071 | − | 0.303339i | ||||
\(863\) | −30.5709 | − | 5.89205i | −1.04064 | − | 0.200568i | −0.359825 | − | 0.933020i | \(-0.617164\pi\) |
−0.680819 | + | 0.732452i | \(0.738376\pi\) | |||||||
\(864\) | −0.971812 | − | 0.235759i | −0.0330617 | − | 0.00802068i | ||||
\(865\) | 4.57061 | − | 47.8656i | 0.155405 | − | 1.62748i | ||||
\(866\) | 20.7053 | + | 10.6743i | 0.703596 | + | 0.362729i | ||||
\(867\) | −10.9100 | + | 37.1560i | −0.370523 | + | 1.26188i | ||||
\(868\) | 11.0859 | + | 2.72754i | 0.376279 | + | 0.0925787i | ||||
\(869\) | 5.95062 | − | 13.0300i | 0.201861 | − | 0.442014i | ||||
\(870\) | 4.30483 | + | 10.7529i | 0.145947 | + | 0.364559i | ||||
\(871\) | −8.24908 | + | 4.25269i | −0.279509 | + | 0.144097i | ||||
\(872\) | −1.03357 | − | 5.36265i | −0.0350010 | − | 0.181602i | ||||
\(873\) | 0.180710 | + | 0.312999i | 0.00611612 | + | 0.0105934i | ||||
\(874\) | 0.758932 | − | 32.5882i | 0.0256713 | − | 1.10231i | ||||
\(875\) | 11.3171 | − | 8.84058i | 0.382589 | − | 0.298866i | ||||
\(876\) | −6.64491 | − | 7.66864i | −0.224511 | − | 0.259099i | ||||
\(877\) | −0.915644 | + | 19.2217i | −0.0309191 | + | 0.649072i | 0.929216 | + | 0.369536i | \(0.120483\pi\) |
−0.960135 | + | 0.279535i | \(0.909820\pi\) | |||||||
\(878\) | 5.42872 | − | 6.90318i | 0.183211 | − | 0.232971i | ||||
\(879\) | 2.95137 | − | 2.10166i | 0.0995472 | − | 0.0708872i | ||||
\(880\) | −6.08802 | − | 7.74155i | −0.205227 | − | 0.260967i | ||||
\(881\) | 36.4090 | + | 10.6907i | 1.22665 | + | 0.360177i | 0.829985 | − | 0.557786i | \(-0.188349\pi\) |
0.396666 | + | 0.917963i | \(0.370167\pi\) | |||||||
\(882\) | 6.86476 | + | 1.36936i | 0.231148 | + | 0.0461086i | ||||
\(883\) | 16.3110 | + | 35.7162i | 0.548910 | + | 1.20195i | 0.957289 | + | 0.289133i | \(0.0933671\pi\) |
−0.408378 | + | 0.912813i | \(0.633906\pi\) | |||||||
\(884\) | 15.5622 | − | 16.3211i | 0.523412 | − | 0.548939i | ||||
\(885\) | −9.76740 | − | 28.2211i | −0.328328 | − | 0.948640i | ||||
\(886\) | −1.67209 | − | 4.83118i | −0.0561749 | − | 0.162307i | ||||
\(887\) | 21.8418 | − | 22.9071i | 0.733377 | − | 0.769144i | −0.246414 | − | 0.969165i | \(-0.579252\pi\) |
0.979792 | + | 0.200020i | \(0.0641009\pi\) | |||||||
\(888\) | 3.82694 | + | 8.37982i | 0.128424 | + | 0.281208i | ||||
\(889\) | 14.0781 | − | 40.2527i | 0.472163 | − | 1.35003i | ||||
\(890\) | 28.2136 | + | 8.28427i | 0.945723 | + | 0.277689i | ||||
\(891\) | 2.14018 | + | 2.72147i | 0.0716989 | + | 0.0911726i | ||||
\(892\) | −15.1263 | + | 10.7714i | −0.506465 | + | 0.360652i | ||||
\(893\) | −25.2468 | + | 32.1039i | −0.844852 | + | 1.07432i | ||||
\(894\) | 0.328000 | − | 6.88557i | 0.0109700 | − | 0.230288i | ||||
\(895\) | 20.3442 | + | 23.4784i | 0.680031 | + | 0.784798i | ||||
\(896\) | 2.45303 | + | 0.991295i | 0.0819498 | + | 0.0331168i | ||||
\(897\) | −11.1673 | + | 9.23019i | −0.372866 | + | 0.308187i | ||||
\(898\) | −7.39811 | − | 12.8139i | −0.246878 | − | 0.427605i | ||||
\(899\) | 3.32510 | + | 17.2522i | 0.110898 | + | 0.575394i | ||||
\(900\) | 2.74817 | − | 1.41678i | 0.0916058 | − | 0.0472261i | ||||
\(901\) | −20.5868 | − | 51.4233i | −0.685846 | − | 1.71316i | ||||
\(902\) | −13.0701 | + | 28.6195i | −0.435186 | + | 0.952925i | ||||
\(903\) | 17.9329 | − | 5.20239i | 0.596769 | − | 0.173125i | ||||
\(904\) | −2.47030 | + | 8.41306i | −0.0821609 | + | 0.279814i | ||||
\(905\) | −13.1802 | − | 6.79485i | −0.438124 | − | 0.225869i | ||||
\(906\) | 1.20008 | − | 12.5678i | 0.0398701 | − | 0.417538i | ||||
\(907\) | −45.3090 | − | 10.9919i | −1.50446 | − | 0.364979i | −0.602966 | − | 0.797767i | \(-0.706015\pi\) |
−0.901496 | + | 0.432788i | \(0.857530\pi\) | |||||||
\(908\) | −0.717106 | − | 0.138211i | −0.0237980 | − | 0.00458669i | ||||
\(909\) | 8.68806 | + | 7.52824i | 0.288165 | + | 0.249696i | ||||
\(910\) | −20.7123 | + | 9.37785i | −0.686606 | + | 0.310873i | ||||
\(911\) | −8.09967 | + | 3.69900i | −0.268354 | + | 0.122553i | −0.545048 | − | 0.838405i | \(-0.683489\pi\) |
0.276694 | + | 0.960958i | \(0.410761\pi\) | |||||||
\(912\) | −3.11454 | + | 6.04136i | −0.103133 | + | 0.200050i | ||||
\(913\) | 31.7905 | + | 33.3409i | 1.05211 | + | 1.10342i | ||||
\(914\) | 0.487722 | − | 1.21827i | 0.0161324 | − | 0.0402968i | ||||
\(915\) | 1.86642 | + | 19.5460i | 0.0617018 | + | 0.646171i | ||||
\(916\) | 1.95829 | − | 13.6202i | 0.0647038 | − | 0.450025i | ||||
\(917\) | 41.4664 | − | 29.3257i | 1.36934 | − | 0.968419i | ||||
\(918\) | −5.64159 | + | 4.88847i | −0.186200 | + | 0.161343i | ||||
\(919\) | 27.4516 | − | 15.8492i | 0.905546 | − | 0.522817i | 0.0265507 | − | 0.999647i | \(-0.491548\pi\) |
0.878995 | + | 0.476830i | \(0.158214\pi\) | |||||||
\(920\) | −11.2939 | + | 7.65246i | −0.372350 | + | 0.252294i | ||||
\(921\) | 6.24915 | − | 10.8238i | 0.205916 | − | 0.356658i | ||||
\(922\) | −17.3233 | − | 5.99564i | −0.570511 | − | 0.197456i | ||||
\(923\) | 8.03127 | − | 12.4969i | 0.264352 | − | 0.411340i | ||||
\(924\) | −4.55427 | − | 7.94770i | −0.149825 | − | 0.261460i | ||||
\(925\) | −25.9094 | − | 11.8324i | −0.851897 | − | 0.389048i | ||||
\(926\) | 0.286609 | − | 0.225392i | 0.00941857 | − | 0.00740685i | ||||
\(927\) | −3.92242 | + | 3.74002i | −0.128829 | + | 0.122838i | ||||
\(928\) | 0.193742 | + | 4.06715i | 0.00635990 | + | 0.133511i | ||||
\(929\) | −37.3038 | − | 26.5639i | −1.22390 | − | 0.871535i | −0.229101 | − | 0.973403i | \(-0.573579\pi\) |
−0.994798 | + | 0.101868i | \(0.967518\pi\) | |||||||
\(930\) | 11.7774 | − | 3.45816i | 0.386196 | − | 0.113397i | ||||
\(931\) | 20.0454 | − | 43.1498i | 0.656962 | − | 1.41418i | ||||
\(932\) | −3.08857 | + | 3.56440i | −0.101170 | + | 0.116756i | ||||
\(933\) | −13.2197 | − | 12.6050i | −0.432794 | − | 0.412669i | ||||
\(934\) | 5.48955 | + | 0.524188i | 0.179624 | + | 0.0171520i | ||||
\(935\) | −73.4357 | + | 3.49817i | −2.40160 | + | 0.114403i | ||||
\(936\) | 2.93582 | − | 0.712223i | 0.0959604 | − | 0.0232797i | ||||
\(937\) | −6.10543 | − | 42.4642i | −0.199456 | − | 1.38724i | −0.805869 | − | 0.592094i | \(-0.798301\pi\) |
0.606413 | − | 0.795150i | \(-0.292608\pi\) | |||||||
\(938\) | −7.90509 | + | 1.89060i | −0.258110 | + | 0.0617304i | ||||
\(939\) | −4.09443 | − | 0.588691i | −0.133617 | − | 0.0192112i | ||||
\(940\) | 17.0736 | + | 0.813317i | 0.556880 | + | 0.0265275i | ||||
\(941\) | 12.5442 | − | 2.41770i | 0.408930 | − | 0.0788148i | 0.0193622 | − | 0.999813i | \(-0.493836\pi\) |
0.389568 | + | 0.920998i | \(0.372624\pi\) | |||||||
\(942\) | 17.6269 | + | 10.1769i | 0.574317 | + | 0.331582i | ||||
\(943\) | 38.2619 | + | 20.8670i | 1.24598 | + | 0.679523i | ||||
\(944\) | − | 10.4982i | − | 0.341688i | ||||||
\(945\) | 7.12019 | − | 2.43847i | 0.231620 | − | 0.0793233i | ||||
\(946\) | −20.5554 | − | 13.2101i | −0.668313 | − | 0.429499i | ||||
\(947\) | −22.5452 | + | 9.02574i | −0.732621 | + | 0.293297i | −0.707818 | − | 0.706395i | \(-0.750320\pi\) |
−0.0248033 | + | 0.999692i | \(0.507896\pi\) | |||||||
\(948\) | 2.39993 | + | 3.37024i | 0.0779462 | + | 0.109460i | ||||
\(949\) | 28.4582 | + | 11.3930i | 0.923794 | + | 0.369831i | ||||
\(950\) | −4.95455 | − | 20.4229i | −0.160747 | − | 0.662608i | ||||
\(951\) | −15.9404 | − | 24.8037i | −0.516902 | − | 0.804316i | ||||
\(952\) | 16.6495 | − | 10.6238i | 0.539615 | − | 0.344319i | ||||
\(953\) | 2.27363 | + | 7.74327i | 0.0736501 | + | 0.250829i | 0.988086 | − | 0.153901i | \(-0.0491837\pi\) |
−0.914436 | + | 0.404730i | \(0.867365\pi\) | |||||||
\(954\) | 1.40429 | − | 7.28612i | 0.0454654 | − | 0.235897i | ||||
\(955\) | 29.6605 | − | 10.2656i | 0.959792 | − | 0.332187i | ||||
\(956\) | −4.65410 | + | 19.1845i | −0.150524 | + | 0.620470i | ||||
\(957\) | 8.17719 | − | 11.4833i | 0.264331 | − | 0.371201i | ||||
\(958\) | −16.2348 | + | 10.4335i | −0.524524 | + | 0.337091i | ||||
\(959\) | 35.7723 | + | 5.26186i | 1.15515 | + | 0.169914i | ||||
\(960\) | 2.81567 | − | 0.404832i | 0.0908753 | − | 0.0130659i | ||||
\(961\) | −12.3245 | + | 1.17685i | −0.397565 | + | 0.0379629i | ||||
\(962\) | −21.8760 | − | 17.2035i | −0.705312 | − | 0.554663i | ||||
\(963\) | 6.34179 | + | 12.3013i | 0.204361 | + | 0.396405i | ||||
\(964\) | −7.90117 | + | 22.8289i | −0.254479 | + | 0.735270i | ||||
\(965\) | 2.90370 | 0.0934734 | ||||||||
\(966\) | −11.4283 | + | 5.51302i | −0.367700 | + | 0.177378i | ||||
\(967\) | 16.1959 | 0.520826 | 0.260413 | − | 0.965497i | \(-0.416141\pi\) | ||||
0.260413 | + | 0.965497i | \(0.416141\pi\) | |||||||
\(968\) | −0.322741 | + | 0.932498i | −0.0103733 | + | 0.0299716i | ||||
\(969\) | 23.2497 | + | 45.0981i | 0.746888 | + | 1.44876i | ||||
\(970\) | −0.808146 | − | 0.635533i | −0.0259480 | − | 0.0204057i | ||||
\(971\) | 13.2306 | − | 1.26337i | 0.424590 | − | 0.0405434i | 0.119425 | − | 0.992843i | \(-0.461895\pi\) |
0.305164 | + | 0.952300i | \(0.401289\pi\) | |||||||
\(972\) | −0.989821 | + | 0.142315i | −0.0317485 | + | 0.00456475i | ||||
\(973\) | −15.0183 | − | 37.8698i | −0.481466 | − | 1.21405i | ||||
\(974\) | −14.5020 | + | 9.31987i | −0.464674 | + | 0.298628i | ||||
\(975\) | −5.41803 | + | 7.60855i | −0.173516 | + | 0.243669i | ||||
\(976\) | −1.62732 | + | 6.70789i | −0.0520892 | + | 0.214714i | ||||
\(977\) | 6.20373 | − | 2.14713i | 0.198475 | − | 0.0686929i | −0.226022 | − | 0.974122i | \(-0.572572\pi\) |
0.424497 | + | 0.905429i | \(0.360451\pi\) | |||||||
\(978\) | 1.14676 | − | 5.94995i | 0.0366693 | − | 0.190259i | ||||
\(979\) | −10.0828 | − | 34.3388i | −0.322247 | − | 1.09747i | ||||
\(980\) | −19.5766 | + | 3.64142i | −0.625351 | + | 0.116321i | ||||
\(981\) | −2.95262 | − | 4.59437i | −0.0942700 | − | 0.146687i | ||||
\(982\) | 5.13315 | + | 21.1591i | 0.163805 | + | 0.675215i | ||||
\(983\) | 17.1934 | + | 6.88320i | 0.548385 | + | 0.219540i | 0.629275 | − | 0.777183i | \(-0.283352\pi\) |
−0.0808901 | + | 0.996723i | \(0.525776\pi\) | |||||||
\(984\) | −5.27128 | − | 7.40247i | −0.168042 | − | 0.235982i | ||||
\(985\) | −13.7788 | + | 5.51621i | −0.439030 | + | 0.175761i | ||||
\(986\) | 25.5701 | + | 16.4329i | 0.814319 | + | 0.523331i | ||||
\(987\) | 15.6008 | + | 3.05937i | 0.496580 | + | 0.0973809i | ||||
\(988\) | − | 20.5334i | − | 0.653255i | ||||||
\(989\) | −20.2694 | + | 27.1058i | −0.644529 | + | 0.861915i | ||||
\(990\) | −8.52916 | − | 4.92432i | −0.271075 | − | 0.156505i | ||||
\(991\) | 15.0403 | − | 2.89878i | 0.477771 | − | 0.0920828i | 0.0553200 | − | 0.998469i | \(-0.482382\pi\) |
0.422451 | + | 0.906386i | \(0.361170\pi\) | |||||||
\(992\) | 4.31014 | + | 0.205317i | 0.136847 | + | 0.00651882i | ||||
\(993\) | 28.9534 | + | 4.16287i | 0.918809 | + | 0.132105i | ||||
\(994\) | 9.44486 | − | 8.94730i | 0.299573 | − | 0.283791i | ||||
\(995\) | −4.93686 | − | 34.3366i | −0.156509 | − | 1.08854i | ||||
\(996\) | −12.9309 | + | 3.13701i | −0.409732 | + | 0.0993999i | ||||
\(997\) | −6.33919 | + | 0.301973i | −0.200764 | + | 0.00956358i | −0.147723 | − | 0.989029i | \(-0.547194\pi\) |
−0.0530411 | + | 0.998592i | \(0.516891\pi\) | |||||||
\(998\) | 28.1939 | + | 2.69219i | 0.892462 | + | 0.0852197i | ||||
\(999\) | 6.66727 | + | 6.35723i | 0.210943 | + | 0.201134i |
(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 | 966.2.be.a.493.15 | yes | 320 | |
7.5 | odd | 6 | inner | 966.2.be.a.355.15 | yes | 320 | |
23.7 | odd | 22 | inner | 966.2.be.a.283.15 | yes | 320 | |
161.145 | even | 66 | inner | 966.2.be.a.145.15 | ✓ | 320 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
966.2.be.a.145.15 | ✓ | 320 | 161.145 | even | 66 | inner | |
966.2.be.a.283.15 | yes | 320 | 23.7 | odd | 22 | inner | |
966.2.be.a.355.15 | yes | 320 | 7.5 | odd | 6 | inner | |
966.2.be.a.493.15 | yes | 320 | 1.1 | even | 1 | trivial |