Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(4,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([0, 44, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 483.y (of order \(33\), 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: | \(3.85677441763\) |
Analytic rank: | \(0\) |
Dimension: | \(320\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{33})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{33}]$ |
Embedding invariants
Embedding label | 25.10 | ||
Character | \(\chi\) | \(=\) | 483.25 |
Dual form | 483.2.y.b.58.10 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{1}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.0438388 | − | 0.920289i | 0.0309987 | − | 0.650743i | −0.928889 | − | 0.370358i | \(-0.879235\pi\) |
0.959888 | − | 0.280385i | \(-0.0904620\pi\) | |||||||
\(3\) | 0.928368 | + | 0.371662i | 0.535993 | + | 0.214579i | ||||
\(4\) | 1.14593 | + | 0.109423i | 0.572967 | + | 0.0547117i | ||||
\(5\) | 0.838786 | + | 3.45752i | 0.375116 | + | 1.54625i | 0.776366 | + | 0.630282i | \(0.217061\pi\) |
−0.401250 | + | 0.915969i | \(0.631424\pi\) | |||||||
\(6\) | 0.382736 | − | 0.838074i | 0.156251 | − | 0.342142i | ||||
\(7\) | −0.905813 | + | 2.48586i | −0.342365 | + | 0.939567i | ||||
\(8\) | 0.413176 | − | 2.87370i | 0.146080 | − | 1.01601i | ||||
\(9\) | 0.723734 | + | 0.690079i | 0.241245 | + | 0.230026i | ||||
\(10\) | 3.21869 | − | 0.620352i | 1.01784 | − | 0.196173i | ||||
\(11\) | −0.0892641 | − | 1.87389i | −0.0269142 | − | 0.564998i | −0.971544 | − | 0.236860i | \(-0.923882\pi\) |
0.944630 | − | 0.328138i | \(-0.106421\pi\) | |||||||
\(12\) | 1.02318 | + | 0.527486i | 0.295366 | + | 0.152272i | ||||
\(13\) | −4.13780 | − | 4.77527i | −1.14762 | − | 1.32442i | −0.937998 | − | 0.346640i | \(-0.887323\pi\) |
−0.209621 | − | 0.977783i | \(-0.567223\pi\) | |||||||
\(14\) | 2.24800 | + | 0.942587i | 0.600804 | + | 0.251917i | ||||
\(15\) | −0.506329 | + | 3.52160i | −0.130734 | + | 0.909273i | ||||
\(16\) | −0.365839 | − | 0.0705097i | −0.0914598 | − | 0.0176274i | ||||
\(17\) | 4.02354 | + | 5.65027i | 0.975851 | + | 1.37039i | 0.928426 | + | 0.371517i | \(0.121162\pi\) |
0.0474253 | + | 0.998875i | \(0.484898\pi\) | |||||||
\(18\) | 0.666800 | − | 0.635792i | 0.157166 | − | 0.149858i | ||||
\(19\) | −1.94011 | + | 2.72451i | −0.445092 | + | 0.625045i | −0.974785 | − | 0.223145i | \(-0.928368\pi\) |
0.529693 | + | 0.848189i | \(0.322307\pi\) | |||||||
\(20\) | 0.582859 | + | 4.05387i | 0.130331 | + | 0.906473i | ||||
\(21\) | −1.76483 | + | 1.97114i | −0.385117 | + | 0.430137i | ||||
\(22\) | −1.72843 | −0.368502 | ||||||||
\(23\) | 4.42913 | + | 1.83923i | 0.923538 | + | 0.383507i | ||||
\(24\) | 1.45163 | − | 2.51429i | 0.296312 | − | 0.513228i | ||||
\(25\) | −6.80672 | + | 3.50911i | −1.36134 | + | 0.701822i | ||||
\(26\) | −4.57603 | + | 3.59863i | −0.897433 | + | 0.705749i | ||||
\(27\) | 0.415415 | + | 0.909632i | 0.0799467 | + | 0.175059i | ||||
\(28\) | −1.31001 | + | 2.74951i | −0.247569 | + | 0.519609i | ||||
\(29\) | 2.46382 | − | 5.39502i | 0.457521 | − | 1.00183i | −0.530525 | − | 0.847669i | \(-0.678005\pi\) |
0.988046 | − | 0.154161i | \(-0.0492675\pi\) | |||||||
\(30\) | 3.21869 | + | 0.620352i | 0.587650 | + | 0.113260i | ||||
\(31\) | −0.402083 | − | 0.316202i | −0.0722162 | − | 0.0567915i | 0.581398 | − | 0.813619i | \(-0.302506\pi\) |
−0.653615 | + | 0.756828i | \(0.726748\pi\) | |||||||
\(32\) | 1.28801 | − | 5.30925i | 0.227690 | − | 0.938551i | ||||
\(33\) | 0.613583 | − | 1.77283i | 0.106811 | − | 0.308610i | ||||
\(34\) | 5.37627 | − | 3.45512i | 0.922023 | − | 0.592548i | ||||
\(35\) | −9.35470 | − | 1.04676i | −1.58123 | − | 0.176935i | ||||
\(36\) | 0.753840 | + | 0.869978i | 0.125640 | + | 0.144996i | ||||
\(37\) | 2.37006 | + | 2.25985i | 0.389636 | + | 0.371517i | 0.859425 | − | 0.511262i | \(-0.170822\pi\) |
−0.469789 | + | 0.882778i | \(0.655670\pi\) | |||||||
\(38\) | 2.42228 | + | 1.90490i | 0.392946 | + | 0.309016i | ||||
\(39\) | −2.06661 | − | 5.97108i | −0.330922 | − | 0.956137i | ||||
\(40\) | 10.2825 | − | 0.981856i | 1.62580 | − | 0.155245i | ||||
\(41\) | 1.00259 | + | 0.294386i | 0.156578 | + | 0.0459753i | 0.359082 | − | 0.933306i | \(-0.383090\pi\) |
−0.202504 | + | 0.979281i | \(0.564908\pi\) | |||||||
\(42\) | 1.73665 | + | 1.71057i | 0.267971 | + | 0.263946i | ||||
\(43\) | −1.52897 | − | 10.6342i | −0.233165 | − | 1.62170i | −0.684270 | − | 0.729229i | \(-0.739879\pi\) |
0.451104 | − | 0.892471i | \(-0.351030\pi\) | |||||||
\(44\) | 0.102756 | − | 2.15711i | 0.0154911 | − | 0.325197i | ||||
\(45\) | −1.77891 | + | 3.08115i | −0.265184 | + | 0.459311i | ||||
\(46\) | 1.88680 | − | 3.99545i | 0.278193 | − | 0.589098i | ||||
\(47\) | −1.36200 | − | 2.35906i | −0.198668 | − | 0.344104i | 0.749429 | − | 0.662085i | \(-0.230328\pi\) |
−0.948097 | + | 0.317981i | \(0.896995\pi\) | |||||||
\(48\) | −0.313428 | − | 0.201428i | −0.0452394 | − | 0.0290736i | ||||
\(49\) | −5.35901 | − | 4.50345i | −0.765572 | − | 0.643350i | ||||
\(50\) | 2.93100 | + | 6.41799i | 0.414505 | + | 0.907640i | ||||
\(51\) | 1.63533 | + | 6.74093i | 0.228992 | + | 0.943919i | ||||
\(52\) | −4.21911 | − | 5.92492i | −0.585086 | − | 0.821638i | ||||
\(53\) | −1.92419 | − | 5.55958i | −0.264308 | − | 0.763667i | −0.996578 | − | 0.0826531i | \(-0.973661\pi\) |
0.732271 | − | 0.681014i | \(-0.238461\pi\) | |||||||
\(54\) | 0.855336 | − | 0.342425i | 0.116396 | − | 0.0465981i | ||||
\(55\) | 6.40413 | − | 1.88042i | 0.863532 | − | 0.253556i | ||||
\(56\) | 6.76937 | + | 3.63014i | 0.904595 | + | 0.485097i | ||||
\(57\) | −2.81373 | + | 1.80828i | −0.372688 | + | 0.239512i | ||||
\(58\) | −4.85697 | − | 2.50394i | −0.637751 | − | 0.328784i | ||||
\(59\) | −0.121245 | + | 0.0233681i | −0.0157848 | + | 0.00304227i | −0.197138 | − | 0.980376i | \(-0.563165\pi\) |
0.181353 | + | 0.983418i | \(0.441952\pi\) | |||||||
\(60\) | −0.965565 | + | 3.98011i | −0.124654 | + | 0.513830i | ||||
\(61\) | −2.10461 | + | 0.842560i | −0.269468 | + | 0.107879i | −0.502462 | − | 0.864600i | \(-0.667572\pi\) |
0.232994 | + | 0.972478i | \(0.425148\pi\) | |||||||
\(62\) | −0.308624 | + | 0.356171i | −0.0391953 | + | 0.0452337i | ||||
\(63\) | −2.37101 | + | 1.17402i | −0.298719 | + | 0.147913i | ||||
\(64\) | −5.54454 | − | 1.62802i | −0.693067 | − | 0.203503i | ||||
\(65\) | 13.0399 | − | 18.3120i | 1.61740 | − | 2.27132i | ||||
\(66\) | −1.60462 | − | 0.642392i | −0.197515 | − | 0.0790730i | ||||
\(67\) | −9.30721 | + | 4.79820i | −1.13706 | + | 0.586194i | −0.920758 | − | 0.390134i | \(-0.872429\pi\) |
−0.216299 | + | 0.976327i | \(0.569399\pi\) | |||||||
\(68\) | 3.99244 | + | 6.91510i | 0.484154 | + | 0.838579i | ||||
\(69\) | 3.42829 | + | 3.35363i | 0.412718 | + | 0.403729i | ||||
\(70\) | −1.37342 | + | 8.56314i | −0.164155 | + | 1.02349i | ||||
\(71\) | 4.06977 | + | 2.61548i | 0.482992 | + | 0.310400i | 0.759382 | − | 0.650645i | \(-0.225502\pi\) |
−0.276389 | + | 0.961046i | \(0.589138\pi\) | |||||||
\(72\) | 2.28211 | − | 1.79467i | 0.268949 | − | 0.211504i | ||||
\(73\) | 8.50610 | + | 0.812234i | 0.995564 | + | 0.0950648i | 0.580100 | − | 0.814545i | \(-0.303013\pi\) |
0.415464 | + | 0.909610i | \(0.363619\pi\) | |||||||
\(74\) | 2.18362 | − | 2.08207i | 0.253840 | − | 0.242036i | ||||
\(75\) | −7.62334 | + | 0.727941i | −0.880268 | + | 0.0840554i | ||||
\(76\) | −2.52136 | + | 2.90981i | −0.289220 | + | 0.333778i | ||||
\(77\) | 4.73907 | + | 1.47549i | 0.540068 | + | 0.168148i | ||||
\(78\) | −5.58572 | + | 1.64011i | −0.632458 | + | 0.185706i | ||||
\(79\) | 4.69258 | − | 13.5583i | 0.527957 | − | 1.52543i | −0.293957 | − | 0.955819i | \(-0.594972\pi\) |
0.821914 | − | 0.569612i | \(-0.192906\pi\) | |||||||
\(80\) | −0.0630718 | − | 1.32404i | −0.00705164 | − | 0.148032i | ||||
\(81\) | 0.0475819 | + | 0.998867i | 0.00528688 | + | 0.110985i | ||||
\(82\) | 0.314872 | − | 0.909763i | 0.0347718 | − | 0.100467i | ||||
\(83\) | −3.15117 | + | 0.925268i | −0.345886 | + | 0.101561i | −0.450061 | − | 0.892998i | \(-0.648598\pi\) |
0.104175 | + | 0.994559i | \(0.466780\pi\) | |||||||
\(84\) | −2.23806 | + | 2.06568i | −0.244193 | + | 0.225384i | ||||
\(85\) | −16.1610 | + | 18.6508i | −1.75291 | + | 2.02297i | ||||
\(86\) | −9.85357 | + | 0.940902i | −1.06254 | + | 0.101460i | ||||
\(87\) | 4.29246 | − | 4.09285i | 0.460200 | − | 0.438800i | ||||
\(88\) | −5.42187 | − | 0.517726i | −0.577973 | − | 0.0551898i | ||||
\(89\) | 13.6667 | − | 10.7476i | 1.44867 | − | 1.13925i | 0.484232 | − | 0.874940i | \(-0.339099\pi\) |
0.964439 | − | 0.264307i | \(-0.0851432\pi\) | |||||||
\(90\) | 2.75757 | + | 1.77218i | 0.290673 | + | 0.186804i | ||||
\(91\) | 15.6187 | − | 5.96049i | 1.63729 | − | 0.624829i | ||||
\(92\) | 4.87424 | + | 2.59229i | 0.508174 | + | 0.270265i | ||||
\(93\) | −0.255761 | − | 0.442991i | −0.0265212 | − | 0.0459360i | ||||
\(94\) | −2.23072 | + | 1.15002i | −0.230082 | + | 0.118615i | ||||
\(95\) | −11.0474 | − | 4.42270i | −1.13344 | − | 0.453760i | ||||
\(96\) | 3.16899 | − | 4.45023i | 0.323434 | − | 0.454200i | ||||
\(97\) | −10.8456 | − | 3.18457i | −1.10121 | − | 0.323344i | −0.319876 | − | 0.947460i | \(-0.603641\pi\) |
−0.781332 | + | 0.624116i | \(0.785459\pi\) | |||||||
\(98\) | −4.37941 | + | 4.73441i | −0.442387 | + | 0.478248i | ||||
\(99\) | 1.22853 | − | 1.41779i | 0.123471 | − | 0.142494i | ||||
\(100\) | −8.18402 | + | 3.27639i | −0.818402 | + | 0.327639i | ||||
\(101\) | 0.101085 | − | 0.416677i | 0.0100583 | − | 0.0414609i | −0.966561 | − | 0.256436i | \(-0.917452\pi\) |
0.976620 | + | 0.214975i | \(0.0689669\pi\) | |||||||
\(102\) | 6.27529 | − | 1.20946i | 0.621347 | − | 0.119755i | ||||
\(103\) | −13.4247 | − | 6.92093i | −1.32278 | − | 0.681939i | −0.355266 | − | 0.934765i | \(-0.615610\pi\) |
−0.967512 | + | 0.252826i | \(0.918640\pi\) | |||||||
\(104\) | −15.4324 | + | 9.91778i | −1.51327 | + | 0.972518i | ||||
\(105\) | −8.29556 | − | 4.44857i | −0.809564 | − | 0.434136i | ||||
\(106\) | −5.20077 | + | 1.52708i | −0.505144 | + | 0.148324i | ||||
\(107\) | −18.8122 | + | 7.53125i | −1.81864 | + | 0.728074i | −0.834419 | + | 0.551130i | \(0.814197\pi\) |
−0.984221 | + | 0.176944i | \(0.943379\pi\) | |||||||
\(108\) | 0.376503 | + | 1.08783i | 0.0362290 | + | 0.104677i | ||||
\(109\) | −1.44904 | − | 2.03489i | −0.138792 | − | 0.194907i | 0.739329 | − | 0.673344i | \(-0.235143\pi\) |
−0.878122 | + | 0.478437i | \(0.841203\pi\) | |||||||
\(110\) | −1.44978 | − | 5.97608i | −0.138231 | − | 0.569797i | ||||
\(111\) | 1.36039 | + | 2.97883i | 0.129122 | + | 0.282738i | ||||
\(112\) | 0.506659 | − | 0.845557i | 0.0478748 | − | 0.0798976i | ||||
\(113\) | 12.4279 | + | 7.98691i | 1.16912 | + | 0.751345i | 0.973354 | − | 0.229306i | \(-0.0736457\pi\) |
0.195762 | + | 0.980651i | \(0.437282\pi\) | |||||||
\(114\) | 1.54079 | + | 2.66872i | 0.144308 | + | 0.249949i | ||||
\(115\) | −2.64410 | + | 16.8565i | −0.246564 | + | 1.57188i | ||||
\(116\) | 3.41372 | − | 5.91273i | 0.316956 | − | 0.548984i | ||||
\(117\) | 0.300651 | − | 6.31144i | 0.0277952 | − | 0.583493i | ||||
\(118\) | 0.0161902 | + | 0.112605i | 0.00149043 | + | 0.0103662i | ||||
\(119\) | −17.6904 | + | 4.88387i | −1.62167 | + | 0.447704i | ||||
\(120\) | 9.91082 | + | 2.91008i | 0.904730 | + | 0.265653i | ||||
\(121\) | 7.44671 | − | 0.711075i | 0.676974 | − | 0.0646432i | ||||
\(122\) | 0.683135 | + | 1.97379i | 0.0618481 | + | 0.178698i | ||||
\(123\) | 0.821356 | + | 0.645922i | 0.0740592 | + | 0.0582408i | ||||
\(124\) | −0.426160 | − | 0.406343i | −0.0382703 | − | 0.0364907i | ||||
\(125\) | −6.19284 | − | 7.14692i | −0.553905 | − | 0.639240i | ||||
\(126\) | 0.976496 | + | 2.23348i | 0.0869931 | + | 0.198974i | ||||
\(127\) | −1.13632 | + | 0.730267i | −0.100832 | + | 0.0648007i | −0.590085 | − | 0.807341i | \(-0.700906\pi\) |
0.489253 | + | 0.872142i | \(0.337269\pi\) | |||||||
\(128\) | 1.83239 | − | 5.29433i | 0.161962 | − | 0.467958i | ||||
\(129\) | 2.53289 | − | 10.4407i | 0.223008 | − | 0.919253i | ||||
\(130\) | −16.2807 | − | 12.8032i | −1.42791 | − | 1.12292i | ||||
\(131\) | 6.61525 | + | 1.27498i | 0.577977 | + | 0.111396i | 0.469858 | − | 0.882742i | \(-0.344305\pi\) |
0.108119 | + | 0.994138i | \(0.465517\pi\) | |||||||
\(132\) | 0.897114 | − | 1.96441i | 0.0780838 | − | 0.170980i | ||||
\(133\) | −5.01536 | − | 7.29074i | −0.434887 | − | 0.632187i | ||||
\(134\) | 4.00772 | + | 8.77568i | 0.346214 | + | 0.758103i | ||||
\(135\) | −2.79663 | + | 2.19929i | −0.240695 | + | 0.189285i | ||||
\(136\) | 17.8996 | − | 9.22790i | 1.53488 | − | 0.791286i | ||||
\(137\) | −6.08983 | + | 10.5479i | −0.520289 | + | 0.901167i | 0.479433 | + | 0.877579i | \(0.340842\pi\) |
−0.999722 | + | 0.0235883i | \(0.992491\pi\) | |||||||
\(138\) | 3.23660 | − | 3.00800i | 0.275518 | − | 0.256058i | ||||
\(139\) | −3.19070 | −0.270632 | −0.135316 | − | 0.990803i | \(-0.543205\pi\) | ||||
−0.135316 | + | 0.990803i | \(0.543205\pi\) | |||||||
\(140\) | −10.6053 | − | 2.22314i | −0.896313 | − | 0.187890i | ||||
\(141\) | −0.387666 | − | 2.69628i | −0.0326474 | − | 0.227068i | ||||
\(142\) | 2.58541 | − | 3.63070i | 0.216963 | − | 0.304682i | ||||
\(143\) | −8.57896 | + | 8.18002i | −0.717409 | + | 0.684048i | ||||
\(144\) | −0.216113 | − | 0.303488i | −0.0180094 | − | 0.0252907i | ||||
\(145\) | 20.7200 | + | 3.99346i | 1.72070 | + | 0.331639i | ||||
\(146\) | 1.12039 | − | 7.79247i | 0.0927240 | − | 0.644909i | ||||
\(147\) | −3.30137 | − | 6.17260i | −0.272292 | − | 0.509107i | ||||
\(148\) | 2.46865 | + | 2.84898i | 0.202922 | + | 0.234184i | ||||
\(149\) | −6.51102 | − | 3.35667i | −0.533404 | − | 0.274989i | 0.170410 | − | 0.985373i | \(-0.445491\pi\) |
−0.703814 | + | 0.710384i | \(0.748521\pi\) | |||||||
\(150\) | 0.335718 | + | 7.04759i | 0.0274113 | + | 0.575434i | ||||
\(151\) | 15.1146 | − | 2.91310i | 1.23001 | − | 0.237065i | 0.467471 | − | 0.884008i | \(-0.345165\pi\) |
0.762538 | + | 0.646944i | \(0.223953\pi\) | |||||||
\(152\) | 7.02781 | + | 6.70101i | 0.570031 | + | 0.543523i | ||||
\(153\) | −0.987160 | + | 6.86585i | −0.0798072 | + | 0.555071i | ||||
\(154\) | 1.56563 | − | 4.29664i | 0.126162 | − | 0.346233i | ||||
\(155\) | 0.756012 | − | 1.65544i | 0.0607244 | − | 0.132968i | ||||
\(156\) | −1.71482 | − | 7.06859i | −0.137296 | − | 0.565940i | ||||
\(157\) | −2.86219 | − | 0.273306i | −0.228428 | − | 0.0218122i | −0.0197856 | − | 0.999804i | \(-0.506298\pi\) |
−0.208642 | + | 0.977992i | \(0.566904\pi\) | |||||||
\(158\) | −12.2719 | − | 4.91291i | −0.976297 | − | 0.390850i | ||||
\(159\) | 0.279931 | − | 5.87648i | 0.0222000 | − | 0.466035i | ||||
\(160\) | 19.4372 | 1.53665 | ||||||||
\(161\) | −8.58404 | + | 9.34421i | −0.676518 | + | 0.736427i | ||||
\(162\) | 0.921333 | 0.0723867 | ||||||||
\(163\) | −0.960693 | + | 20.1674i | −0.0752473 | + | 1.57963i | 0.573870 | + | 0.818947i | \(0.305442\pi\) |
−0.649117 | + | 0.760688i | \(0.724862\pi\) | |||||||
\(164\) | 1.11668 | + | 0.447053i | 0.0871983 | + | 0.0349089i | ||||
\(165\) | 6.64427 | + | 0.634451i | 0.517255 | + | 0.0493919i | ||||
\(166\) | 0.713371 | + | 2.94055i | 0.0553683 | + | 0.228231i | ||||
\(167\) | 3.44054 | − | 7.53373i | 0.266237 | − | 0.582977i | −0.728546 | − | 0.684997i | \(-0.759803\pi\) |
0.994782 | + | 0.102020i | \(0.0325306\pi\) | |||||||
\(168\) | 4.93528 | + | 5.88602i | 0.380765 | + | 0.454116i | ||||
\(169\) | −3.83177 | + | 26.6506i | −0.294752 | + | 2.05004i | ||||
\(170\) | 16.4557 | + | 15.6905i | 1.26209 | + | 1.20340i | ||||
\(171\) | −3.28425 | + | 0.632987i | −0.251153 | + | 0.0484057i | ||||
\(172\) | −0.588464 | − | 12.3534i | −0.0448700 | − | 0.941937i | ||||
\(173\) | −3.17374 | − | 1.63618i | −0.241295 | − | 0.124396i | 0.333338 | − | 0.942807i | \(-0.391825\pi\) |
−0.574633 | + | 0.818411i | \(0.694855\pi\) | |||||||
\(174\) | −3.57843 | − | 4.12973i | −0.271280 | − | 0.313074i | ||||
\(175\) | −2.55754 | − | 20.0992i | −0.193332 | − | 1.51935i | ||||
\(176\) | −0.0994708 | + | 0.691835i | −0.00749789 | + | 0.0521490i | ||||
\(177\) | −0.121245 | − | 0.0233681i | −0.00911336 | − | 0.00175646i | ||||
\(178\) | −9.29180 | − | 13.0485i | −0.696450 | − | 0.978027i | ||||
\(179\) | −9.51244 | + | 9.07009i | −0.710993 | + | 0.677931i | −0.956589 | − | 0.291442i | \(-0.905865\pi\) |
0.245595 | + | 0.969372i | \(0.421017\pi\) | |||||||
\(180\) | −2.37566 | + | 3.33614i | −0.177071 | + | 0.248661i | ||||
\(181\) | −1.05314 | − | 7.32476i | −0.0782794 | − | 0.544445i | −0.990792 | − | 0.135396i | \(-0.956769\pi\) |
0.912512 | − | 0.409050i | \(-0.134140\pi\) | |||||||
\(182\) | −4.80067 | − | 14.6351i | −0.355849 | − | 1.08482i | ||||
\(183\) | −2.26700 | −0.167582 | ||||||||
\(184\) | 7.11543 | − | 11.9681i | 0.524556 | − | 0.882299i | ||||
\(185\) | −5.82550 | + | 10.0901i | −0.428300 | + | 0.741837i | ||||
\(186\) | −0.418892 | + | 0.215954i | −0.0307146 | + | 0.0158345i | ||||
\(187\) | 10.2288 | − | 8.04402i | 0.748004 | − | 0.588237i | ||||
\(188\) | −1.30263 | − | 2.85236i | −0.0950039 | − | 0.208029i | ||||
\(189\) | −2.63751 | + | 0.208708i | −0.191850 | + | 0.0151812i | ||||
\(190\) | −4.55447 | + | 9.97290i | −0.330416 | + | 0.723510i | ||||
\(191\) | −13.1755 | − | 2.53936i | −0.953343 | − | 0.183742i | −0.311215 | − | 0.950339i | \(-0.600736\pi\) |
−0.642128 | + | 0.766598i | \(0.721948\pi\) | |||||||
\(192\) | −4.54230 | − | 3.57210i | −0.327812 | − | 0.257794i | ||||
\(193\) | −0.875851 | + | 3.61031i | −0.0630451 | + | 0.259876i | −0.994608 | − | 0.103704i | \(-0.966930\pi\) |
0.931563 | + | 0.363580i | \(0.118446\pi\) | |||||||
\(194\) | −3.40618 | + | 9.84151i | −0.244550 | + | 0.706580i | ||||
\(195\) | 18.9117 | − | 12.1538i | 1.35429 | − | 0.870352i | ||||
\(196\) | −5.64828 | − | 5.74705i | −0.403449 | − | 0.410504i | ||||
\(197\) | 1.57845 | + | 1.82162i | 0.112460 | + | 0.129785i | 0.809188 | − | 0.587550i | \(-0.199907\pi\) |
−0.696729 | + | 0.717335i | \(0.745362\pi\) | |||||||
\(198\) | −1.25092 | − | 1.19275i | −0.0888993 | − | 0.0847653i | ||||
\(199\) | −1.16760 | − | 0.918213i | −0.0827692 | − | 0.0650904i | 0.575917 | − | 0.817508i | \(-0.304645\pi\) |
−0.658686 | + | 0.752418i | \(0.728888\pi\) | |||||||
\(200\) | 7.27176 | + | 21.0104i | 0.514191 | + | 1.48566i | ||||
\(201\) | −10.4238 | + | 0.995355i | −0.735240 | + | 0.0702069i | ||||
\(202\) | −0.379032 | − | 0.111294i | −0.0266686 | − | 0.00783061i | ||||
\(203\) | 11.1795 | + | 11.0116i | 0.784648 | + | 0.772863i | ||||
\(204\) | 1.13637 | + | 7.90360i | 0.0795615 | + | 0.553362i | ||||
\(205\) | −0.176890 | + | 3.71339i | −0.0123546 | + | 0.259354i | ||||
\(206\) | −6.95778 | + | 12.0512i | −0.484771 | + | 0.839649i | ||||
\(207\) | 1.93630 | + | 4.38757i | 0.134582 | + | 0.304957i | ||||
\(208\) | 1.17707 | + | 2.03874i | 0.0816148 | + | 0.141361i | ||||
\(209\) | 5.27859 | + | 3.39235i | 0.365128 | + | 0.234653i | ||||
\(210\) | −4.45764 | + | 7.43930i | −0.307606 | + | 0.513360i | ||||
\(211\) | −5.80636 | − | 12.7141i | −0.399726 | − | 0.875278i | −0.997298 | − | 0.0734627i | \(-0.976595\pi\) |
0.597572 | − | 0.801815i | \(-0.296132\pi\) | |||||||
\(212\) | −1.59664 | − | 6.58146i | −0.109658 | − | 0.452016i | ||||
\(213\) | 2.80616 | + | 3.94071i | 0.192275 | + | 0.270013i | ||||
\(214\) | 6.10623 | + | 17.6428i | 0.417413 | + | 1.20604i | ||||
\(215\) | 35.4855 | − | 14.2063i | 2.42009 | − | 0.968859i | ||||
\(216\) | 2.78565 | − | 0.817941i | 0.189540 | − | 0.0556539i | ||||
\(217\) | 1.15024 | − | 0.713103i | 0.0780837 | − | 0.0484086i | ||||
\(218\) | −1.93621 | + | 1.24433i | −0.131137 | + | 0.0842763i | ||||
\(219\) | 7.59492 | + | 3.91545i | 0.513217 | + | 0.264582i | ||||
\(220\) | 7.54446 | − | 1.45408i | 0.508648 | − | 0.0980338i | ||||
\(221\) | 10.3330 | − | 42.5932i | 0.695072 | − | 2.86513i | ||||
\(222\) | 2.80103 | − | 1.12136i | 0.187993 | − | 0.0752609i | ||||
\(223\) | −2.89496 | + | 3.34096i | −0.193861 | + | 0.223727i | −0.844355 | − | 0.535784i | \(-0.820016\pi\) |
0.650495 | + | 0.759511i | \(0.274562\pi\) | |||||||
\(224\) | 12.0313 | + | 8.01099i | 0.803878 | + | 0.535257i | ||||
\(225\) | −7.34782 | − | 2.15751i | −0.489854 | − | 0.143834i | ||||
\(226\) | 7.89509 | − | 11.0871i | 0.525174 | − | 0.737503i | ||||
\(227\) | −3.88323 | − | 1.55461i | −0.257739 | − | 0.103183i | 0.239195 | − | 0.970972i | \(-0.423117\pi\) |
−0.496934 | + | 0.867788i | \(0.665541\pi\) | |||||||
\(228\) | −3.42222 | + | 1.76428i | −0.226642 | + | 0.116842i | ||||
\(229\) | 14.3170 | + | 24.7979i | 0.946097 | + | 1.63869i | 0.753539 | + | 0.657403i | \(0.228345\pi\) |
0.192558 | + | 0.981286i | \(0.438322\pi\) | |||||||
\(230\) | 15.3970 | + | 3.17231i | 1.01525 | + | 0.209176i | ||||
\(231\) | 3.85122 | + | 3.13113i | 0.253392 | + | 0.206013i | ||||
\(232\) | −14.4857 | − | 9.30939i | −0.951032 | − | 0.611191i | ||||
\(233\) | 1.82876 | − | 1.43816i | 0.119806 | − | 0.0942167i | −0.556458 | − | 0.830876i | \(-0.687840\pi\) |
0.676265 | + | 0.736659i | \(0.263598\pi\) | |||||||
\(234\) | −5.79517 | − | 0.553371i | −0.378842 | − | 0.0361750i | ||||
\(235\) | 7.01406 | − | 6.68790i | 0.457547 | − | 0.436270i | ||||
\(236\) | −0.141496 | + | 0.0135112i | −0.00921061 | + | 0.000879507i | ||||
\(237\) | 9.39556 | − | 10.8431i | 0.610307 | − | 0.704332i | ||||
\(238\) | 3.71905 | + | 16.4943i | 0.241070 | + | 1.06917i | ||||
\(239\) | −9.88583 | + | 2.90274i | −0.639461 | + | 0.187763i | −0.585361 | − | 0.810773i | \(-0.699047\pi\) |
−0.0541003 | + | 0.998536i | \(0.517229\pi\) | |||||||
\(240\) | 0.433542 | − | 1.25264i | 0.0279850 | − | 0.0808574i | ||||
\(241\) | 0.650062 | + | 13.6465i | 0.0418742 | + | 0.879047i | 0.917907 | + | 0.396796i | \(0.129878\pi\) |
−0.876033 | + | 0.482251i | \(0.839819\pi\) | |||||||
\(242\) | −0.327940 | − | 6.88430i | −0.0210808 | − | 0.442540i | ||||
\(243\) | −0.327068 | + | 0.945001i | −0.0209814 | + | 0.0606218i | ||||
\(244\) | −2.50394 | + | 0.735223i | −0.160298 | + | 0.0470679i | ||||
\(245\) | 11.0757 | − | 22.3063i | 0.707601 | − | 1.42510i | ||||
\(246\) | 0.630442 | − | 0.727569i | 0.0401955 | − | 0.0463881i | ||||
\(247\) | 21.0381 | − | 2.00889i | 1.33862 | − | 0.127823i | ||||
\(248\) | −1.07480 | + | 1.02482i | −0.0682499 | + | 0.0650762i | ||||
\(249\) | −3.26934 | − | 0.312184i | −0.207186 | − | 0.0197838i | ||||
\(250\) | −6.84872 | + | 5.38589i | −0.433151 | + | 0.340634i | ||||
\(251\) | 8.87586 | + | 5.70417i | 0.560239 | + | 0.360044i | 0.789908 | − | 0.613225i | \(-0.210128\pi\) |
−0.229669 | + | 0.973269i | \(0.573764\pi\) | |||||||
\(252\) | −2.84548 | + | 1.08590i | −0.179249 | + | 0.0684056i | ||||
\(253\) | 3.05115 | − | 8.46386i | 0.191824 | − | 0.532119i | ||||
\(254\) | 0.622242 | + | 1.07775i | 0.0390429 | + | 0.0676243i | ||||
\(255\) | −21.9352 | + | 11.3084i | −1.37364 | + | 0.708159i | ||||
\(256\) | −15.5213 | − | 6.21381i | −0.970084 | − | 0.388363i | ||||
\(257\) | −2.13058 | + | 2.99198i | −0.132902 | + | 0.186635i | −0.875664 | − | 0.482921i | \(-0.839576\pi\) |
0.742762 | + | 0.669555i | \(0.233515\pi\) | |||||||
\(258\) | −9.49744 | − | 2.78870i | −0.591285 | − | 0.173617i | ||||
\(259\) | −7.76450 | + | 3.84464i | −0.482463 | + | 0.238894i | ||||
\(260\) | 16.9466 | − | 19.5574i | 1.05098 | − | 1.21290i | ||||
\(261\) | 5.50614 | − | 2.20433i | 0.340822 | − | 0.136444i | ||||
\(262\) | 1.46336 | − | 6.03205i | 0.0904066 | − | 0.372661i | ||||
\(263\) | −2.19980 | + | 0.423978i | −0.135646 | + | 0.0261436i | −0.256622 | − | 0.966512i | \(-0.582610\pi\) |
0.120976 | + | 0.992655i | \(0.461397\pi\) | |||||||
\(264\) | −4.84107 | − | 2.49575i | −0.297947 | − | 0.153603i | ||||
\(265\) | 17.6084 | − | 11.3162i | 1.08167 | − | 0.695150i | ||||
\(266\) | −6.92946 | + | 4.29597i | −0.424872 | + | 0.263403i | ||||
\(267\) | 16.6822 | − | 4.89835i | 1.02094 | − | 0.299774i | ||||
\(268\) | −11.1905 | + | 4.47999i | −0.683567 | + | 0.273659i | ||||
\(269\) | −6.07069 | − | 17.5401i | −0.370136 | − | 1.06944i | −0.964235 | − | 0.265047i | \(-0.914612\pi\) |
0.594099 | − | 0.804392i | \(-0.297509\pi\) | |||||||
\(270\) | 1.90138 | + | 2.67012i | 0.115715 | + | 0.162498i | ||||
\(271\) | 2.28767 | + | 9.42989i | 0.138966 | + | 0.572825i | 0.998130 | + | 0.0611252i | \(0.0194689\pi\) |
−0.859164 | + | 0.511700i | \(0.829016\pi\) | |||||||
\(272\) | −1.07357 | − | 2.35079i | −0.0650947 | − | 0.142537i | ||||
\(273\) | 16.7152 | + | 0.271373i | 1.01165 | + | 0.0164243i | ||||
\(274\) | 9.44014 | + | 6.06681i | 0.570300 | + | 0.366509i | ||||
\(275\) | 7.18326 | + | 12.4418i | 0.433167 | + | 0.750267i | ||||
\(276\) | 3.56163 | + | 4.21817i | 0.214385 | + | 0.253904i | ||||
\(277\) | 1.66556 | − | 2.88483i | 0.100074 | − | 0.173333i | −0.811641 | − | 0.584156i | \(-0.801425\pi\) |
0.911715 | + | 0.410824i | \(0.134759\pi\) | |||||||
\(278\) | −0.139877 | + | 2.93637i | −0.00838924 | + | 0.176112i | ||||
\(279\) | −0.0727971 | − | 0.506315i | −0.00435825 | − | 0.0303123i | ||||
\(280\) | −6.87323 | + | 26.4501i | −0.410754 | + | 1.58070i | ||||
\(281\) | 13.5072 | + | 3.96608i | 0.805774 | + | 0.236596i | 0.658579 | − | 0.752511i | \(-0.271158\pi\) |
0.147194 | + | 0.989108i | \(0.452976\pi\) | |||||||
\(282\) | −2.49835 | + | 0.238564i | −0.148775 | + | 0.0142063i | ||||
\(283\) | 1.76128 | + | 5.08887i | 0.104697 | + | 0.302502i | 0.985167 | − | 0.171600i | \(-0.0548938\pi\) |
−0.880470 | + | 0.474103i | \(0.842773\pi\) | |||||||
\(284\) | 4.37748 | + | 3.44249i | 0.259756 | + | 0.204274i | ||||
\(285\) | −8.61228 | − | 8.21179i | −0.510147 | − | 0.486425i | ||||
\(286\) | 7.15189 | + | 8.25373i | 0.422900 | + | 0.488053i | ||||
\(287\) | −1.63996 | + | 2.22563i | −0.0968036 | + | 0.131375i | ||||
\(288\) | 4.59597 | − | 2.95365i | 0.270820 | − | 0.174046i | ||||
\(289\) | −10.1765 | + | 29.4031i | −0.598619 | + | 1.72960i | ||||
\(290\) | 4.58348 | − | 18.8933i | 0.269151 | − | 1.10946i | ||||
\(291\) | −8.88516 | − | 6.98736i | −0.520857 | − | 0.409607i | ||||
\(292\) | 9.65855 | + | 1.86153i | 0.565224 | + | 0.108938i | ||||
\(293\) | −10.6155 | + | 23.2448i | −0.620167 | + | 1.35798i | 0.295231 | + | 0.955426i | \(0.404603\pi\) |
−0.915398 | + | 0.402550i | \(0.868124\pi\) | |||||||
\(294\) | −5.82530 | + | 2.76761i | −0.339739 | + | 0.161411i | ||||
\(295\) | −0.182495 | − | 0.399608i | −0.0106253 | − | 0.0232661i | ||||
\(296\) | 7.47339 | − | 5.87714i | 0.434382 | − | 0.341602i | ||||
\(297\) | 1.66746 | − | 0.859638i | 0.0967561 | − | 0.0498812i | ||||
\(298\) | −3.37454 | + | 5.84487i | −0.195482 | + | 0.338584i | ||||
\(299\) | −9.54401 | − | 28.7607i | −0.551945 | − | 1.66327i | ||||
\(300\) | −8.81550 | −0.508963 | ||||||||
\(301\) | 27.8201 | + | 5.83180i | 1.60352 | + | 0.336139i | ||||
\(302\) | −2.01829 | − | 14.0375i | −0.116140 | − | 0.807768i | ||||
\(303\) | 0.248707 | − | 0.349260i | 0.0142879 | − | 0.0200645i | ||||
\(304\) | 0.901873 | − | 0.859934i | 0.0517260 | − | 0.0493206i | ||||
\(305\) | −4.67849 | − | 6.57002i | −0.267889 | − | 0.376198i | ||||
\(306\) | 6.27529 | + | 1.20946i | 0.358735 | + | 0.0691404i | ||||
\(307\) | −0.716537 | + | 4.98362i | −0.0408949 | + | 0.284430i | 0.959104 | + | 0.283053i | \(0.0913474\pi\) |
−0.999999 | + | 0.00137690i | \(0.999562\pi\) | |||||||
\(308\) | 5.26921 | + | 2.20938i | 0.300241 | + | 0.125891i | ||||
\(309\) | −9.89084 | − | 11.4146i | −0.562670 | − | 0.649356i | ||||
\(310\) | −1.49034 | − | 0.768322i | −0.0846455 | − | 0.0436378i | ||||
\(311\) | −0.984450 | − | 20.6662i | −0.0558230 | − | 1.17187i | −0.836871 | − | 0.547399i | \(-0.815618\pi\) |
0.781048 | − | 0.624470i | \(-0.214685\pi\) | |||||||
\(312\) | −18.0130 | + | 3.47172i | −1.01978 | + | 0.196547i | ||||
\(313\) | 13.6871 | + | 13.0506i | 0.773638 | + | 0.737662i | 0.970062 | − | 0.242857i | \(-0.0780845\pi\) |
−0.196424 | + | 0.980519i | \(0.562933\pi\) | |||||||
\(314\) | −0.376996 | + | 2.62206i | −0.0212751 | + | 0.147972i | ||||
\(315\) | −6.04797 | − | 7.21306i | −0.340764 | − | 0.406410i | ||||
\(316\) | 6.86098 | − | 15.0235i | 0.385960 | − | 0.845135i | ||||
\(317\) | 6.88679 | + | 28.3877i | 0.386801 | + | 1.59441i | 0.749169 | + | 0.662379i | \(0.230453\pi\) |
−0.362369 | + | 0.932035i | \(0.618032\pi\) | |||||||
\(318\) | −5.39579 | − | 0.515236i | −0.302581 | − | 0.0288930i | ||||
\(319\) | −10.3296 | − | 4.13534i | −0.578345 | − | 0.231535i | ||||
\(320\) | 0.978247 | − | 20.5359i | 0.0546856 | − | 1.14799i | ||||
\(321\) | −20.2637 | −1.13101 | ||||||||
\(322\) | 8.22306 | + | 8.30944i | 0.458253 | + | 0.463067i | ||||
\(323\) | −23.2003 | −1.29090 | ||||||||
\(324\) | −0.0547737 | + | 1.14984i | −0.00304298 | + | 0.0638801i | ||||
\(325\) | 44.9218 | + | 17.9840i | 2.49181 | + | 0.997571i | ||||
\(326\) | 18.5178 | + | 1.76823i | 1.02560 | + | 0.0979333i | ||||
\(327\) | −0.588948 | − | 2.42767i | −0.0325689 | − | 0.134251i | ||||
\(328\) | 1.26022 | − | 2.75950i | 0.0695841 | − | 0.152368i | ||||
\(329\) | 7.09801 | − | 1.24888i | 0.391326 | − | 0.0688532i | ||||
\(330\) | 0.875155 | − | 6.08683i | 0.0481757 | − | 0.335069i | ||||
\(331\) | −22.0370 | − | 21.0122i | −1.21126 | − | 1.15493i | −0.983440 | − | 0.181232i | \(-0.941992\pi\) |
−0.227820 | − | 0.973703i | \(-0.573160\pi\) | |||||||
\(332\) | −3.71228 | + | 0.715483i | −0.203738 | + | 0.0392673i | ||||
\(333\) | 0.155820 | + | 3.27106i | 0.00853887 | + | 0.179253i | ||||
\(334\) | −6.78238 | − | 3.49656i | −0.371115 | − | 0.191323i | ||||
\(335\) | −24.3966 | − | 28.1552i | −1.33293 | − | 1.53828i | ||||
\(336\) | 0.784628 | − | 0.596681i | 0.0428049 | − | 0.0325516i | ||||
\(337\) | −0.595625 | + | 4.14266i | −0.0324458 | + | 0.225665i | −0.999592 | − | 0.0285545i | \(-0.990910\pi\) |
0.967146 | + | 0.254220i | \(0.0818187\pi\) | |||||||
\(338\) | 24.3583 | + | 4.69467i | 1.32491 | + | 0.255356i | ||||
\(339\) | 8.56921 | + | 12.0338i | 0.465415 | + | 0.653585i | ||||
\(340\) | −20.5603 | + | 19.6042i | −1.11504 | + | 1.06319i | ||||
\(341\) | −0.556634 | + | 0.781683i | −0.0301434 | + | 0.0423305i | ||||
\(342\) | 0.438554 | + | 3.05021i | 0.0237143 | + | 0.164936i | ||||
\(343\) | 16.0492 | − | 9.24246i | 0.866575 | − | 0.499046i | ||||
\(344\) | −31.1913 | −1.68172 | ||||||||
\(345\) | −8.71964 | + | 14.6664i | −0.469450 | + | 0.789611i | ||||
\(346\) | −1.64489 | + | 2.84903i | −0.0884298 | + | 0.153165i | ||||
\(347\) | 1.03238 | − | 0.532229i | 0.0554211 | − | 0.0285716i | −0.430293 | − | 0.902689i | \(-0.641590\pi\) |
0.485714 | + | 0.874118i | \(0.338560\pi\) | |||||||
\(348\) | 5.36673 | − | 4.22044i | 0.287687 | − | 0.226239i | ||||
\(349\) | −4.32124 | − | 9.46221i | −0.231311 | − | 0.506500i | 0.758012 | − | 0.652241i | \(-0.226171\pi\) |
−0.989323 | + | 0.145740i | \(0.953444\pi\) | |||||||
\(350\) | −18.6092 | + | 1.47255i | −0.994701 | + | 0.0787113i | ||||
\(351\) | 2.62484 | − | 5.74760i | 0.140104 | − | 0.306784i | ||||
\(352\) | −10.0639 | − | 1.93966i | −0.536407 | − | 0.103384i | ||||
\(353\) | 12.4633 | + | 9.80129i | 0.663357 | + | 0.521670i | 0.892112 | − | 0.451814i | \(-0.149223\pi\) |
−0.228755 | + | 0.973484i | \(0.573465\pi\) | |||||||
\(354\) | −0.0268207 | + | 0.110556i | −0.00142550 | + | 0.00587601i | ||||
\(355\) | −5.62942 | + | 16.2651i | −0.298778 | + | 0.863263i | ||||
\(356\) | 16.8372 | − | 10.8206i | 0.892370 | − | 0.573491i | ||||
\(357\) | −18.2383 | − | 2.04081i | −0.965274 | − | 0.108011i | ||||
\(358\) | 7.93010 | + | 9.15182i | 0.419119 | + | 0.483689i | ||||
\(359\) | −7.09128 | − | 6.76152i | −0.374263 | − | 0.356860i | 0.479480 | − | 0.877553i | \(-0.340825\pi\) |
−0.853744 | + | 0.520693i | \(0.825674\pi\) | |||||||
\(360\) | 8.11932 | + | 6.38511i | 0.427926 | + | 0.336525i | ||||
\(361\) | 2.55539 | + | 7.38332i | 0.134494 | + | 0.388596i | ||||
\(362\) | −6.78707 | + | 0.648087i | −0.356720 | + | 0.0340627i | ||||
\(363\) | 7.17757 | + | 2.10752i | 0.376725 | + | 0.110616i | ||||
\(364\) | 18.5502 | − | 5.12127i | 0.972297 | − | 0.268427i | ||||
\(365\) | 4.32648 | + | 30.0913i | 0.226458 | + | 1.57505i | ||||
\(366\) | −0.0993826 | + | 2.08630i | −0.00519481 | + | 0.109053i | ||||
\(367\) | 4.79047 | − | 8.29734i | 0.250061 | − | 0.433118i | −0.713482 | − | 0.700674i | \(-0.752883\pi\) |
0.963542 | + | 0.267556i | \(0.0862161\pi\) | |||||||
\(368\) | −1.49067 | − | 0.985161i | −0.0777064 | − | 0.0513551i | ||||
\(369\) | 0.522456 | + | 0.904920i | 0.0271980 | + | 0.0471083i | ||||
\(370\) | 9.03040 | + | 5.80348i | 0.469468 | + | 0.301709i | ||||
\(371\) | 15.5633 | + | 0.252672i | 0.808006 | + | 0.0131181i | ||||
\(372\) | −0.244611 | − | 0.535624i | −0.0126825 | − | 0.0277708i | ||||
\(373\) | −0.537822 | − | 2.21693i | −0.0278474 | − | 0.114789i | 0.956192 | − | 0.292742i | \(-0.0945676\pi\) |
−0.984039 | + | 0.177953i | \(0.943052\pi\) | |||||||
\(374\) | −6.95440 | − | 9.76609i | −0.359604 | − | 0.504993i | ||||
\(375\) | −3.09299 | − | 8.93662i | −0.159722 | − | 0.461485i | ||||
\(376\) | −7.34198 | + | 2.93928i | −0.378634 | + | 0.151582i | ||||
\(377\) | −35.9575 | + | 10.5581i | −1.85191 | + | 0.543769i | ||||
\(378\) | 0.0764463 | + | 2.43642i | 0.00393197 | + | 0.125316i | ||||
\(379\) | −13.7813 | + | 8.85671i | −0.707898 | + | 0.454939i | −0.844408 | − | 0.535700i | \(-0.820048\pi\) |
0.136510 | + | 0.990639i | \(0.456411\pi\) | |||||||
\(380\) | −12.1756 | − | 6.27696i | −0.624596 | − | 0.322001i | ||||
\(381\) | −1.32633 | + | 0.255630i | −0.0679501 | + | 0.0130963i | ||||
\(382\) | −2.91454 | + | 12.0139i | −0.149121 | + | 0.614685i | ||||
\(383\) | −24.6872 | + | 9.88325i | −1.26146 | + | 0.505011i | −0.903444 | − | 0.428706i | \(-0.858970\pi\) |
−0.358012 | + | 0.933717i | \(0.616545\pi\) | |||||||
\(384\) | 3.66884 | − | 4.23406i | 0.187224 | − | 0.216069i | ||||
\(385\) | −1.12647 | + | 17.6231i | −0.0574104 | + | 0.898155i | ||||
\(386\) | 3.28413 | + | 0.964308i | 0.167158 | + | 0.0490820i | ||||
\(387\) | 6.23187 | − | 8.75144i | 0.316784 | − | 0.444861i | ||||
\(388\) | −12.0799 | − | 4.83607i | −0.613264 | − | 0.245514i | ||||
\(389\) | 5.89429 | − | 3.03872i | 0.298852 | − | 0.154069i | −0.302279 | − | 0.953220i | \(-0.597747\pi\) |
0.601131 | + | 0.799151i | \(0.294717\pi\) | |||||||
\(390\) | −10.3559 | − | 17.9370i | −0.524394 | − | 0.908277i | ||||
\(391\) | 7.42862 | + | 32.4260i | 0.375681 | + | 1.63985i | ||||
\(392\) | −15.1558 | + | 13.5395i | −0.765483 | + | 0.683847i | ||||
\(393\) | 5.66752 | + | 3.64229i | 0.285889 | + | 0.183729i | ||||
\(394\) | 1.74562 | − | 1.37277i | 0.0879430 | − | 0.0691591i | ||||
\(395\) | 50.8143 | + | 4.85217i | 2.55674 | + | 0.244139i | ||||
\(396\) | 1.56295 | − | 1.49027i | 0.0785411 | − | 0.0748888i | ||||
\(397\) | −30.8185 | + | 2.94281i | −1.54674 | + | 0.147695i | −0.833220 | − | 0.552942i | \(-0.813505\pi\) |
−0.713517 | + | 0.700638i | \(0.752899\pi\) | |||||||
\(398\) | −0.896208 | + | 1.03428i | −0.0449229 | + | 0.0518437i | ||||
\(399\) | −1.94641 | − | 8.63251i | −0.0974423 | − | 0.432166i | ||||
\(400\) | 2.73759 | − | 0.803829i | 0.136880 | − | 0.0401915i | ||||
\(401\) | −9.94654 | + | 28.7386i | −0.496707 | + | 1.43514i | 0.366562 | + | 0.930394i | \(0.380535\pi\) |
−0.863268 | + | 0.504746i | \(0.831586\pi\) | |||||||
\(402\) | 0.459047 | + | 9.63657i | 0.0228952 | + | 0.480629i | ||||
\(403\) | 0.153789 | + | 3.22844i | 0.00766079 | + | 0.160820i | ||||
\(404\) | 0.161431 | − | 0.466423i | 0.00803148 | − | 0.0232054i | ||||
\(405\) | −3.41369 | + | 1.00235i | −0.169628 | + | 0.0498072i | ||||
\(406\) | 10.6240 | − | 9.80565i | 0.527258 | − | 0.486646i | ||||
\(407\) | 4.02314 | − | 4.64295i | 0.199419 | − | 0.230142i | ||||
\(408\) | 20.0471 | − | 1.91427i | 0.992480 | − | 0.0947703i | ||||
\(409\) | 1.87876 | − | 1.79140i | 0.0928989 | − | 0.0885789i | −0.642207 | − | 0.766531i | \(-0.721981\pi\) |
0.735106 | + | 0.677952i | \(0.237132\pi\) | |||||||
\(410\) | 3.40964 | + | 0.325581i | 0.168390 | + | 0.0160793i | ||||
\(411\) | −9.57385 | + | 7.52896i | −0.472243 | + | 0.371376i | ||||
\(412\) | −14.6265 | − | 9.39990i | −0.720597 | − | 0.463100i | ||||
\(413\) | 0.0517357 | − | 0.322566i | 0.00254575 | − | 0.0158724i | ||||
\(414\) | 4.12272 | − | 1.58961i | 0.202620 | − | 0.0781250i | ||||
\(415\) | −5.84229 | − | 10.1191i | −0.286787 | − | 0.496730i | ||||
\(416\) | −30.6826 | + | 15.8180i | −1.50434 | + | 0.775541i | ||||
\(417\) | −2.96215 | − | 1.18586i | −0.145057 | − | 0.0580720i | ||||
\(418\) | 3.35335 | − | 4.70912i | 0.164018 | − | 0.230330i | ||||
\(419\) | 20.4705 | + | 6.01067i | 1.00005 | + | 0.293640i | 0.740476 | − | 0.672083i | \(-0.234600\pi\) |
0.259572 | + | 0.965724i | \(0.416418\pi\) | |||||||
\(420\) | −9.01938 | − | 6.00550i | −0.440101 | − | 0.293038i | ||||
\(421\) | 21.7400 | − | 25.0893i | 1.05954 | − | 1.22278i | 0.0855202 | − | 0.996336i | \(-0.472745\pi\) |
0.974024 | − | 0.226443i | \(-0.0727098\pi\) | |||||||
\(422\) | −11.9552 | + | 4.78616i | −0.581972 | + | 0.232986i | ||||
\(423\) | 0.642208 | − | 2.64722i | 0.0312252 | − | 0.128712i | ||||
\(424\) | −16.7716 | + | 3.23246i | −0.814501 | + | 0.156982i | ||||
\(425\) | −47.2145 | − | 24.3408i | −2.29024 | − | 1.18070i | ||||
\(426\) | 3.74961 | − | 2.40973i | 0.181669 | − | 0.116752i | ||||
\(427\) | −0.188101 | − | 5.99497i | −0.00910286 | − | 0.290117i | ||||
\(428\) | −22.3816 | + | 6.57182i | −1.08185 | + | 0.317661i | ||||
\(429\) | −11.0046 | + | 4.40559i | −0.531309 | + | 0.212704i | ||||
\(430\) | −11.5182 | − | 33.2797i | −0.555458 | − | 1.60489i | ||||
\(431\) | −5.44420 | − | 7.64530i | −0.262238 | − | 0.368261i | 0.662373 | − | 0.749174i | \(-0.269549\pi\) |
−0.924611 | + | 0.380913i | \(0.875610\pi\) | |||||||
\(432\) | −0.0878372 | − | 0.362070i | −0.00422607 | − | 0.0174201i | ||||
\(433\) | −14.5460 | − | 31.8513i | −0.699036 | − | 1.53067i | −0.841137 | − | 0.540823i | \(-0.818113\pi\) |
0.142101 | − | 0.989852i | \(-0.454614\pi\) | |||||||
\(434\) | −0.605836 | − | 1.08982i | −0.0290810 | − | 0.0523130i | ||||
\(435\) | 17.7516 | + | 11.4083i | 0.851123 | + | 0.546984i | ||||
\(436\) | −1.43783 | − | 2.49040i | −0.0688598 | − | 0.119269i | ||||
\(437\) | −13.6040 | + | 8.49888i | −0.650768 | + | 0.406557i | ||||
\(438\) | 3.93630 | − | 6.81787i | 0.188084 | − | 0.325771i | ||||
\(439\) | −0.201223 | + | 4.22419i | −0.00960384 | + | 0.201609i | 0.988966 | + | 0.148144i | \(0.0473298\pi\) |
−0.998570 | + | 0.0534657i | \(0.982973\pi\) | |||||||
\(440\) | −2.75774 | − | 19.1805i | −0.131470 | − | 0.914394i | ||||
\(441\) | −0.770760 | − | 6.95744i | −0.0367029 | − | 0.331307i | ||||
\(442\) | −38.7451 | − | 11.3766i | −1.84291 | − | 0.541129i | ||||
\(443\) | −0.533142 | + | 0.0509089i | −0.0253303 | + | 0.00241876i | −0.107714 | − | 0.994182i | \(-0.534353\pi\) |
0.0823832 | + | 0.996601i | \(0.473747\pi\) | |||||||
\(444\) | 1.23296 | + | 3.56240i | 0.0585137 | + | 0.169064i | ||||
\(445\) | 48.6236 | + | 38.2380i | 2.30498 | + | 1.81266i | ||||
\(446\) | 2.94774 | + | 2.81066i | 0.139579 | + | 0.133089i | ||||
\(447\) | −4.79708 | − | 5.53612i | −0.226894 | − | 0.261850i | ||||
\(448\) | 9.06935 | − | 12.3083i | 0.428487 | − | 0.581511i | ||||
\(449\) | 23.6280 | − | 15.1848i | 1.11507 | − | 0.716615i | 0.152682 | − | 0.988275i | \(-0.451209\pi\) |
0.962393 | + | 0.271660i | \(0.0875727\pi\) | |||||||
\(450\) | −2.30766 | + | 6.66753i | −0.108784 | + | 0.314311i | ||||
\(451\) | 0.462150 | − | 1.90501i | 0.0217618 | − | 0.0897033i | ||||
\(452\) | 13.3676 | + | 10.5124i | 0.628757 | + | 0.494460i | ||||
\(453\) | 15.1146 | + | 2.91310i | 0.710146 | + | 0.136869i | ||||
\(454\) | −1.60093 | + | 3.50555i | −0.0751353 | + | 0.164523i | ||||
\(455\) | 33.7093 | + | 49.0026i | 1.58032 | + | 2.29728i | ||||
\(456\) | 4.03388 | + | 8.83297i | 0.188904 | + | 0.413642i | ||||
\(457\) | −13.4744 | + | 10.5964i | −0.630308 | + | 0.495680i | −0.881454 | − | 0.472269i | \(-0.843435\pi\) |
0.251146 | + | 0.967949i | \(0.419193\pi\) | |||||||
\(458\) | 23.4488 | − | 12.0887i | 1.09569 | − | 0.564869i | ||||
\(459\) | −3.46823 | + | 6.00715i | −0.161883 | + | 0.280390i | ||||
\(460\) | −4.87446 | + | 19.0272i | −0.227273 | + | 0.887146i | ||||
\(461\) | −5.94823 | −0.277037 | −0.138518 | − | 0.990360i | \(-0.544234\pi\) | ||||
−0.138518 | + | 0.990360i | \(0.544234\pi\) | |||||||
\(462\) | 3.05038 | − | 3.40697i | 0.141917 | − | 0.158507i | ||||
\(463\) | −0.833055 | − | 5.79402i | −0.0387153 | − | 0.269271i | 0.961264 | − | 0.275628i | \(-0.0888857\pi\) |
−0.999980 | + | 0.00635666i | \(0.997977\pi\) | |||||||
\(464\) | −1.28176 | + | 1.79999i | −0.0595044 | + | 0.0835623i | ||||
\(465\) | 1.31712 | − | 1.25587i | 0.0610800 | − | 0.0582397i | ||||
\(466\) | −1.24335 | − | 1.74604i | −0.0575970 | − | 0.0808837i | ||||
\(467\) | 10.1018 | + | 1.94696i | 0.467455 | + | 0.0900945i | 0.417539 | − | 0.908659i | \(-0.362893\pi\) |
0.0499156 | + | 0.998753i | \(0.484105\pi\) | |||||||
\(468\) | 1.03514 | − | 7.19959i | 0.0478496 | − | 0.332801i | ||||
\(469\) | −3.49707 | − | 27.4827i | −0.161480 | − | 1.26903i | ||||
\(470\) | −5.84731 | − | 6.74816i | −0.269716 | − | 0.311269i | ||||
\(471\) | −2.55559 | − | 1.31750i | −0.117755 | − | 0.0607071i | ||||
\(472\) | 0.0170574 | + | 0.358078i | 0.000785129 | + | 0.0164819i | ||||
\(473\) | −19.7908 | + | 3.81436i | −0.909981 | + | 0.175385i | ||||
\(474\) | −9.56686 | − | 9.12198i | −0.439420 | − | 0.418986i | ||||
\(475\) | 3.64521 | − | 25.3530i | 0.167254 | − | 1.16328i | ||||
\(476\) | −20.8064 | + | 3.66085i | −0.953659 | + | 0.167795i | ||||
\(477\) | 2.44395 | − | 5.35150i | 0.111901 | − | 0.245028i | ||||
\(478\) | 2.23798 | + | 9.22508i | 0.102363 | + | 0.421945i | ||||
\(479\) | −36.6064 | − | 3.49549i | −1.67259 | − | 0.159713i | −0.784734 | − | 0.619833i | \(-0.787200\pi\) |
−0.887857 | + | 0.460120i | \(0.847806\pi\) | |||||||
\(480\) | 18.0449 | + | 7.22408i | 0.823632 | + | 0.329732i | ||||
\(481\) | 0.984562 | − | 20.6685i | 0.0448921 | − | 0.942402i | ||||
\(482\) | 12.5872 | 0.573332 | ||||||||
\(483\) | −11.4420 | + | 5.48449i | −0.520631 | + | 0.249553i | ||||
\(484\) | 8.61125 | 0.391420 | ||||||||
\(485\) | 1.91354 | − | 40.1702i | 0.0868895 | − | 1.82403i | ||||
\(486\) | 0.855336 | + | 0.342425i | 0.0387988 | + | 0.0155327i | ||||
\(487\) | 25.3893 | + | 2.42439i | 1.15050 | + | 0.109859i | 0.652828 | − | 0.757506i | \(-0.273582\pi\) |
0.497672 | + | 0.867365i | \(0.334188\pi\) | |||||||
\(488\) | 1.55169 | + | 6.39616i | 0.0702417 | + | 0.289540i | ||||
\(489\) | −8.38735 | + | 18.3657i | −0.379289 | + | 0.830528i | ||||
\(490\) | −20.0427 | − | 11.1707i | −0.905438 | − | 0.504643i | ||||
\(491\) | 4.59343 | − | 31.9480i | 0.207298 | − | 1.44179i | −0.574624 | − | 0.818417i | \(-0.694852\pi\) |
0.781923 | − | 0.623375i | \(-0.214239\pi\) | |||||||
\(492\) | 0.870540 | + | 0.830059i | 0.0392470 | + | 0.0374219i | ||||
\(493\) | 40.3966 | − | 7.78581i | 1.81937 | − | 0.350655i | ||||
\(494\) | −0.926478 | − | 19.4492i | −0.0416842 | − | 0.875059i | ||||
\(495\) | 5.93252 | + | 3.05843i | 0.266647 | + | 0.137466i | ||||
\(496\) | 0.124802 | + | 0.144030i | 0.00560379 | + | 0.00646712i | ||||
\(497\) | −10.1882 | + | 7.74773i | −0.457002 | + | 0.347533i | ||||
\(498\) | −0.430623 | + | 2.99505i | −0.0192967 | + | 0.134211i | ||||
\(499\) | −3.77061 | − | 0.726726i | −0.168796 | − | 0.0325327i | 0.104153 | − | 0.994561i | \(-0.466787\pi\) |
−0.272949 | + | 0.962029i | \(0.587999\pi\) | |||||||
\(500\) | −6.31454 | − | 8.86754i | −0.282395 | − | 0.396568i | ||||
\(501\) | 5.99409 | − | 5.71535i | 0.267796 | − | 0.255343i | ||||
\(502\) | 5.63859 | − | 7.91830i | 0.251663 | − | 0.353411i | ||||
\(503\) | 0.0678446 | + | 0.471870i | 0.00302504 | + | 0.0210396i | 0.991278 | − | 0.131787i | \(-0.0420715\pi\) |
−0.988253 | + | 0.152827i | \(0.951162\pi\) | |||||||
\(504\) | 2.39414 | + | 7.29865i | 0.106643 | + | 0.325108i | ||||
\(505\) | 1.52546 | 0.0678820 | ||||||||
\(506\) | −7.65544 | − | 3.17899i | −0.340326 | − | 0.141323i | ||||
\(507\) | −13.4623 | + | 23.3174i | −0.597882 | + | 1.03556i | ||||
\(508\) | −1.38205 | + | 0.712497i | −0.0613186 | + | 0.0316119i | ||||
\(509\) | 16.4801 | − | 12.9601i | 0.730469 | − | 0.574447i | −0.182144 | − | 0.983272i | \(-0.558304\pi\) |
0.912613 | + | 0.408825i | \(0.134061\pi\) | |||||||
\(510\) | 9.44538 | + | 20.6825i | 0.418248 | + | 0.915836i | ||||
\(511\) | −9.72404 | + | 20.4093i | −0.430166 | + | 0.902852i | ||||
\(512\) | −1.74424 | + | 3.81936i | −0.0770854 | + | 0.168793i | ||||
\(513\) | −3.28425 | − | 0.632987i | −0.145003 | − | 0.0279471i | ||||
\(514\) | 2.66009 | + | 2.09191i | 0.117331 | + | 0.0922704i | ||||
\(515\) | 12.6688 | − | 52.2215i | 0.558253 | − | 2.30115i | ||||
\(516\) | 4.04498 | − | 11.6872i | 0.178070 | − | 0.514500i | ||||
\(517\) | −4.29902 | + | 2.76281i | −0.189071 | + | 0.121508i | ||||
\(518\) | 3.19780 | + | 7.31413i | 0.140503 | + | 0.321364i | ||||
\(519\) | −2.33829 | − | 2.69854i | −0.102640 | − | 0.118453i | ||||
\(520\) | −47.2354 | − | 45.0388i | −2.07141 | − | 1.97508i | ||||
\(521\) | 5.71569 | + | 4.49487i | 0.250409 | + | 0.196924i | 0.735471 | − | 0.677556i | \(-0.236961\pi\) |
−0.485063 | + | 0.874479i | \(0.661203\pi\) | |||||||
\(522\) | −1.78724 | − | 5.16388i | −0.0782252 | − | 0.226017i | ||||
\(523\) | −5.11942 | + | 0.488846i | −0.223857 | + | 0.0213757i | −0.206382 | − | 0.978472i | \(-0.566169\pi\) |
−0.0174751 | + | 0.999847i | \(0.505563\pi\) | |||||||
\(524\) | 7.44112 | + | 2.18491i | 0.325067 | + | 0.0954482i | ||||
\(525\) | 5.09576 | − | 19.6099i | 0.222397 | − | 0.855848i | ||||
\(526\) | 0.293745 | + | 2.04304i | 0.0128079 | + | 0.0890809i | ||||
\(527\) | 0.168828 | − | 3.54413i | 0.00735424 | − | 0.154385i | ||||
\(528\) | −0.349474 | + | 0.605307i | −0.0152089 | + | 0.0263426i | ||||
\(529\) | 16.2344 | + | 16.2924i | 0.705845 | + | 0.708366i | ||||
\(530\) | −9.64226 | − | 16.7009i | −0.418833 | − | 0.725440i | ||||
\(531\) | −0.103875 | − | 0.0667566i | −0.00450780 | − | 0.00289699i | ||||
\(532\) | −4.94950 | − | 8.90350i | −0.214588 | − | 0.386016i | ||||
\(533\) | −2.74273 | − | 6.00573i | −0.118801 | − | 0.260137i | ||||
\(534\) | −3.77657 | − | 15.5672i | −0.163428 | − | 0.673660i | ||||
\(535\) | −41.8188 | − | 58.7264i | −1.80799 | − | 2.53896i | ||||
\(536\) | 9.94309 | + | 28.7287i | 0.429476 | + | 1.24089i | ||||
\(537\) | −12.2021 | + | 4.88497i | −0.526558 | + | 0.210802i | ||||
\(538\) | −16.4081 | + | 4.81785i | −0.707403 | + | 0.207712i | ||||
\(539\) | −7.96058 | + | 10.4442i | −0.342886 | + | 0.449862i | ||||
\(540\) | −3.44540 | + | 2.21423i | −0.148267 | + | 0.0952851i | ||||
\(541\) | 34.5103 | + | 17.7913i | 1.48371 | + | 0.764907i | 0.994247 | − | 0.107115i | \(-0.0341614\pi\) |
0.489466 | + | 0.872022i | \(0.337192\pi\) | |||||||
\(542\) | 8.77852 | − | 1.69192i | 0.377070 | − | 0.0726742i | ||||
\(543\) | 1.74464 | − | 7.19149i | 0.0748695 | − | 0.308616i | ||||
\(544\) | 35.1810 | − | 14.0844i | 1.50837 | − | 0.603862i | ||||
\(545\) | 5.82023 | − | 6.71691i | 0.249311 | − | 0.287721i | ||||
\(546\) | 0.982517 | − | 15.3709i | 0.0420479 | − | 0.657816i | ||||
\(547\) | −28.7539 | − | 8.44291i | −1.22943 | − | 0.360993i | −0.398394 | − | 0.917214i | \(-0.630432\pi\) |
−0.831034 | + | 0.556222i | \(0.812251\pi\) | |||||||
\(548\) | −8.13272 | + | 11.4208i | −0.347413 | + | 0.487873i | ||||
\(549\) | −2.10461 | − | 0.842560i | −0.0898227 | − | 0.0359596i | ||||
\(550\) | 11.7649 | − | 6.06525i | 0.501659 | − | 0.258623i | ||||
\(551\) | 9.91867 | + | 17.1796i | 0.422550 | + | 0.731878i | ||||
\(552\) | 11.0538 | − | 8.46625i | 0.470482 | − | 0.360348i | ||||
\(553\) | 29.4535 | + | 23.9464i | 1.25249 | + | 1.01830i | ||||
\(554\) | −2.58186 | − | 1.65926i | −0.109693 | − | 0.0704953i | ||||
\(555\) | −9.15831 | + | 7.20217i | −0.388749 | + | 0.305715i | ||||
\(556\) | −3.65633 | − | 0.349137i | −0.155063 | − | 0.0148067i | ||||
\(557\) | 6.72148 | − | 6.40892i | 0.284798 | − | 0.271555i | −0.534190 | − | 0.845364i | \(-0.679383\pi\) |
0.818989 | + | 0.573809i | \(0.194535\pi\) | |||||||
\(558\) | −0.469148 | + | 0.0447982i | −0.0198606 | + | 0.00189646i | ||||
\(559\) | −44.4547 | + | 51.3034i | −1.88023 | + | 2.16990i | ||||
\(560\) | 3.34851 | + | 1.04254i | 0.141500 | + | 0.0440555i | ||||
\(561\) | 12.4857 | − | 3.66615i | 0.527149 | − | 0.154785i | ||||
\(562\) | 4.24208 | − | 12.2567i | 0.178941 | − | 0.517017i | ||||
\(563\) | 1.61834 | + | 33.9731i | 0.0682048 | + | 1.43180i | 0.730685 | + | 0.682715i | \(0.239201\pi\) |
−0.662480 | + | 0.749080i | \(0.730496\pi\) | |||||||
\(564\) | −0.149204 | − | 3.13217i | −0.00628262 | − | 0.131888i | ||||
\(565\) | −17.1906 | + | 49.6690i | −0.723214 | + | 2.08959i | ||||
\(566\) | 4.76045 | − | 1.39779i | 0.200097 | − | 0.0587536i | ||||
\(567\) | −2.52615 | − | 0.786505i | −0.106088 | − | 0.0330301i | ||||
\(568\) | 9.19764 | − | 10.6146i | 0.385924 | − | 0.445381i | ||||
\(569\) | 34.7973 | − | 3.32274i | 1.45878 | − | 0.139296i | 0.664699 | − | 0.747111i | \(-0.268560\pi\) |
0.794079 | + | 0.607815i | \(0.207954\pi\) | |||||||
\(570\) | −7.93478 | + | 7.56579i | −0.332351 | + | 0.316896i | ||||
\(571\) | 18.9330 | + | 1.80788i | 0.792320 | + | 0.0756573i | 0.483364 | − | 0.875419i | \(-0.339415\pi\) |
0.308955 | + | 0.951077i | \(0.400021\pi\) | |||||||
\(572\) | −10.7260 | + | 8.43502i | −0.448477 | + | 0.352686i | ||||
\(573\) | −11.2879 | − | 7.25429i | −0.471558 | − | 0.303052i | ||||
\(574\) | 1.97633 | + | 1.60680i | 0.0824904 | + | 0.0670667i | ||||
\(575\) | −36.6019 | + | 3.02315i | −1.52641 | + | 0.126074i | ||||
\(576\) | −2.88931 | − | 5.00442i | −0.120388 | − | 0.208518i | ||||
\(577\) | −18.3503 | + | 9.46024i | −0.763933 | + | 0.393835i | −0.795724 | − | 0.605660i | \(-0.792909\pi\) |
0.0317908 | + | 0.999495i | \(0.489879\pi\) | |||||||
\(578\) | 26.6133 | + | 10.6543i | 1.10697 | + | 0.443162i | ||||
\(579\) | −2.15493 | + | 3.02617i | −0.0895557 | + | 0.125763i | ||||
\(580\) | 23.3068 | + | 6.84349i | 0.967762 | + | 0.284160i | ||||
\(581\) | 0.554286 | − | 8.67150i | 0.0229956 | − | 0.359754i | ||||
\(582\) | −6.81991 | + | 7.87060i | −0.282694 | + | 0.326247i | ||||
\(583\) | −10.2462 | + | 4.10198i | −0.424356 | + | 0.169887i | ||||
\(584\) | 5.84864 | − | 24.1084i | 0.242018 | − | 0.997614i | ||||
\(585\) | 22.0741 | − | 4.25444i | 0.912652 | − | 0.175899i | ||||
\(586\) | 20.9266 | + | 10.7884i | 0.864469 | + | 0.445665i | ||||
\(587\) | 1.25750 | − | 0.808145i | 0.0519025 | − | 0.0333557i | −0.514432 | − | 0.857531i | \(-0.671997\pi\) |
0.566335 | + | 0.824175i | \(0.308361\pi\) | |||||||
\(588\) | −3.10772 | − | 7.43463i | −0.128160 | − | 0.306599i | ||||
\(589\) | 1.64158 | − | 0.482011i | 0.0676401 | − | 0.0198609i | ||||
\(590\) | −0.375755 | + | 0.150430i | −0.0154696 | + | 0.00619309i | ||||
\(591\) | 0.788349 | + | 2.27779i | 0.0324284 | + | 0.0936956i | ||||
\(592\) | −0.707720 | − | 0.993854i | −0.0290871 | − | 0.0408471i | ||||
\(593\) | 0.209750 | + | 0.864603i | 0.00861341 | + | 0.0355050i | 0.975956 | − | 0.217967i | \(-0.0699426\pi\) |
−0.967343 | + | 0.253472i | \(0.918427\pi\) | |||||||
\(594\) | −0.718016 | − | 1.57223i | −0.0294605 | − | 0.0645096i | ||||
\(595\) | −31.7245 | − | 57.0683i | −1.30058 | − | 2.33957i | ||||
\(596\) | −7.09390 | − | 4.55897i | −0.290578 | − | 0.186743i | ||||
\(597\) | −0.742700 | − | 1.28639i | −0.0303967 | − | 0.0526486i | ||||
\(598\) | −26.8866 | + | 7.52242i | −1.09947 | + | 0.307615i | ||||
\(599\) | 2.28589 | − | 3.95928i | 0.0933990 | − | 0.161772i | −0.815540 | − | 0.578700i | \(-0.803560\pi\) |
0.908939 | + | 0.416928i | \(0.136893\pi\) | |||||||
\(600\) | −1.05790 | + | 22.2080i | −0.0431885 | + | 0.906638i | ||||
\(601\) | 2.73324 | + | 19.0101i | 0.111491 | + | 0.775438i | 0.966471 | + | 0.256776i | \(0.0826604\pi\) |
−0.854980 | + | 0.518661i | \(0.826431\pi\) | |||||||
\(602\) | 6.58654 | − | 25.3469i | 0.268447 | − | 1.03306i | ||||
\(603\) | −10.0471 | − | 2.95009i | −0.409149 | − | 0.120137i | ||||
\(604\) | 17.6391 | − | 1.68433i | 0.717724 | − | 0.0685344i | ||||
\(605\) | 8.70476 | + | 25.1507i | 0.353899 | + | 1.02252i | ||||
\(606\) | −0.310518 | − | 0.244194i | −0.0126139 | − | 0.00991969i | ||||
\(607\) | 20.2602 | + | 19.3180i | 0.822335 | + | 0.784095i | 0.979065 | − | 0.203547i | \(-0.0652469\pi\) |
−0.156730 | + | 0.987641i | \(0.550095\pi\) | |||||||
\(608\) | 11.9662 | + | 13.8097i | 0.485293 | + | 0.560058i | ||||
\(609\) | 6.28610 | + | 14.3778i | 0.254726 | + | 0.582619i | ||||
\(610\) | −6.25141 | + | 4.01754i | −0.253112 | + | 0.162665i | ||||
\(611\) | −5.62945 | + | 16.2652i | −0.227743 | + | 0.658021i | ||||
\(612\) | −1.88250 | + | 7.75979i | −0.0760957 | + | 0.313671i | ||||
\(613\) | −35.6891 | − | 28.0662i | −1.44147 | − | 1.13358i | −0.967448 | − | 0.253071i | \(-0.918559\pi\) |
−0.474022 | − | 0.880513i | \(-0.657198\pi\) | |||||||
\(614\) | 4.55496 | + | 0.877897i | 0.183823 | + | 0.0354290i | ||||
\(615\) | −1.54435 | + | 3.38165i | −0.0622741 | + | 0.136361i | ||||
\(616\) | 6.19819 | − | 13.0091i | 0.249732 | − | 0.524150i | ||||
\(617\) | 12.5994 | + | 27.5888i | 0.507232 | + | 1.11068i | 0.974051 | + | 0.226330i | \(0.0726728\pi\) |
−0.466819 | + | 0.884353i | \(0.654600\pi\) | |||||||
\(618\) | −10.9384 | + | 8.60203i | −0.440006 | + | 0.346024i | ||||
\(619\) | −17.4231 | + | 8.98224i | −0.700294 | + | 0.361027i | −0.771320 | − | 0.636448i | \(-0.780403\pi\) |
0.0710255 | + | 0.997474i | \(0.477373\pi\) | |||||||
\(620\) | 1.04748 | − | 1.81429i | 0.0420679 | − | 0.0728638i | ||||
\(621\) | 0.166902 | + | 4.79293i | 0.00669755 | + | 0.192334i | ||||
\(622\) | −19.0620 | −0.764316 | ||||||||
\(623\) | 14.3376 | + | 43.7089i | 0.574425 | + | 1.75116i | ||||
\(624\) | 0.335028 | + | 2.33017i | 0.0134118 | + | 0.0932814i | ||||
\(625\) | −2.69427 | + | 3.78357i | −0.107771 | + | 0.151343i | ||||
\(626\) | 12.6103 | − | 12.0239i | 0.504010 | − | 0.480573i | ||||
\(627\) | 3.63967 | + | 5.11120i | 0.145354 | + | 0.204122i | ||||
\(628\) | −3.24998 | − | 0.626381i | −0.129688 | − | 0.0249953i | ||||
\(629\) | −3.23272 | + | 22.4841i | −0.128897 | + | 0.896499i | ||||
\(630\) | −6.90324 | + | 5.24967i | −0.275032 | + | 0.209152i | ||||
\(631\) | 9.68853 | + | 11.1812i | 0.385694 | + | 0.445115i | 0.915084 | − | 0.403264i | \(-0.132124\pi\) |
−0.529389 | + | 0.848379i | \(0.677579\pi\) | |||||||
\(632\) | −37.0237 | − | 19.0871i | −1.47272 | − | 0.759242i | ||||
\(633\) | −0.665064 | − | 13.9614i | −0.0264339 | − | 0.554916i | ||||
\(634\) | 26.4268 | − | 5.09335i | 1.04954 | − | 0.202283i | ||||
\(635\) | −3.47804 | − | 3.31630i | −0.138022 | − | 0.131603i | ||||
\(636\) | 0.963807 | − | 6.70343i | 0.0382174 | − | 0.265808i | ||||
\(637\) | 0.669289 | + | 44.2251i | 0.0265182 | + | 1.75226i | ||||
\(638\) | −4.25855 | + | 9.32491i | −0.168597 | + | 0.369177i | ||||
\(639\) | 1.14054 | + | 4.70137i | 0.0451191 | + | 0.185983i | ||||
\(640\) | 19.8423 | + | 1.89471i | 0.784334 | + | 0.0748948i | ||||
\(641\) | 8.77963 | + | 3.51483i | 0.346774 | + | 0.138828i | 0.538510 | − | 0.842619i | \(-0.318987\pi\) |
−0.191736 | + | 0.981447i | \(0.561412\pi\) | |||||||
\(642\) | −0.888336 | + | 18.6485i | −0.0350598 | + | 0.735996i | ||||
\(643\) | −30.3358 | −1.19633 | −0.598164 | − | 0.801374i | \(-0.704103\pi\) | ||||
−0.598164 | + | 0.801374i | \(0.704103\pi\) | |||||||
\(644\) | −10.8592 | + | 9.76854i | −0.427913 | + | 0.384934i | ||||
\(645\) | 38.2235 | 1.50505 | ||||||||
\(646\) | −1.01707 | + | 21.3510i | −0.0400162 | + | 0.840044i | ||||
\(647\) | −37.9761 | − | 15.2033i | −1.49299 | − | 0.597704i | −0.525543 | − | 0.850767i | \(-0.676138\pi\) |
−0.967450 | + | 0.253063i | \(0.918562\pi\) | |||||||
\(648\) | 2.89011 | + | 0.275972i | 0.113534 | + | 0.0108412i | ||||
\(649\) | 0.0546121 | + | 0.225114i | 0.00214371 | + | 0.00883650i | ||||
\(650\) | 18.5198 | − | 40.5526i | 0.726405 | − | 1.59061i | ||||
\(651\) | 1.33288 | − | 0.234519i | 0.0522398 | − | 0.00919153i | ||||
\(652\) | −3.30768 | + | 23.0054i | −0.129539 | + | 0.900961i | ||||
\(653\) | 28.0416 | + | 26.7376i | 1.09735 | + | 1.04632i | 0.998688 | + | 0.0512012i | \(0.0163050\pi\) |
0.0986628 | + | 0.995121i | \(0.468543\pi\) | |||||||
\(654\) | −2.25998 | + | 0.435576i | −0.0883723 | + | 0.0170324i | ||||
\(655\) | 1.14049 | + | 23.9418i | 0.0445626 | + | 0.935484i | ||||
\(656\) | −0.346028 | − | 0.178390i | −0.0135101 | − | 0.00696495i | ||||
\(657\) | 5.59565 | + | 6.45773i | 0.218307 | + | 0.251940i | ||||
\(658\) | −0.838166 | − | 6.58697i | −0.0326751 | − | 0.256787i | ||||
\(659\) | 1.64844 | − | 11.4652i | 0.0642142 | − | 0.446620i | −0.932195 | − | 0.361956i | \(-0.882109\pi\) |
0.996410 | − | 0.0846642i | \(-0.0269817\pi\) | |||||||
\(660\) | 7.54446 | + | 1.45408i | 0.293668 | + | 0.0565998i | ||||
\(661\) | −21.6509 | − | 30.4045i | −0.842124 | − | 1.18260i | −0.981330 | − | 0.192334i | \(-0.938394\pi\) |
0.139206 | − | 0.990263i | \(-0.455545\pi\) | |||||||
\(662\) | −20.3034 | + | 19.3592i | −0.789113 | + | 0.752418i | ||||
\(663\) | 25.4231 | − | 35.7018i | 0.987352 | − | 1.38654i | ||||
\(664\) | 1.35696 | + | 9.43784i | 0.0526601 | + | 0.366259i | ||||
\(665\) | 21.0011 | − | 23.4561i | 0.814387 | − | 0.909589i | ||||
\(666\) | 3.01715 | 0.116912 | ||||||||
\(667\) | 20.8353 | − | 19.3637i | 0.806746 | − | 0.749766i | ||||
\(668\) | 4.76699 | − | 8.25667i | 0.184440 | − | 0.319460i | ||||
\(669\) | −3.92929 | + | 2.02569i | −0.151915 | + | 0.0783177i | ||||
\(670\) | −26.9805 | + | 21.2177i | −1.04235 | + | 0.819710i | ||||
\(671\) | 1.76673 | + | 3.86859i | 0.0682037 | + | 0.149345i | ||||
\(672\) | 8.19213 | + | 11.9087i | 0.316018 | + | 0.459390i | ||||
\(673\) | 10.0799 | − | 22.0720i | 0.388553 | − | 0.850813i | −0.609751 | − | 0.792593i | \(-0.708730\pi\) |
0.998304 | − | 0.0582195i | \(-0.0185423\pi\) | |||||||
\(674\) | 3.78634 | + | 0.729757i | 0.145844 | + | 0.0281092i | ||||
\(675\) | −6.01961 | − | 4.73387i | −0.231695 | − | 0.182207i | ||||
\(676\) | −7.30715 | + | 30.1205i | −0.281044 | + | 1.15848i | ||||
\(677\) | 7.85236 | − | 22.6879i | 0.301791 | − | 0.871967i | −0.687523 | − | 0.726163i | \(-0.741302\pi\) |
0.989313 | − | 0.145804i | \(-0.0465770\pi\) | |||||||
\(678\) | 11.4502 | − | 7.35860i | 0.439743 | − | 0.282605i | ||||
\(679\) | 17.7405 | − | 24.0761i | 0.680818 | − | 0.923957i | ||||
\(680\) | 46.9196 | + | 54.1481i | 1.79929 | + | 2.07649i | ||||
\(681\) | −3.02728 | − | 2.88650i | −0.116006 | − | 0.110611i | ||||
\(682\) | 0.694972 | + | 0.546532i | 0.0266119 | + | 0.0209278i | ||||
\(683\) | 3.13725 | + | 9.06450i | 0.120044 | + | 0.346843i | 0.988974 | − | 0.148092i | \(-0.0473131\pi\) |
−0.868930 | + | 0.494935i | \(0.835192\pi\) | |||||||
\(684\) | −3.83279 | + | 0.365987i | −0.146551 | + | 0.0139939i | ||||
\(685\) | −41.5776 | − | 12.2083i | −1.58860 | − | 0.466455i | ||||
\(686\) | −7.80216 | − | 15.1751i | −0.297888 | − | 0.579388i | ||||
\(687\) | 4.07506 | + | 28.3426i | 0.155473 | + | 1.08134i | ||||
\(688\) | −0.190458 | + | 3.99821i | −0.00726116 | + | 0.152430i | ||||
\(689\) | −18.5866 | + | 32.1929i | −0.708093 | + | 1.22645i | ||||
\(690\) | 13.1150 | + | 8.66755i | 0.499281 | + | 0.329968i | ||||
\(691\) | −3.97839 | − | 6.89077i | −0.151345 | − | 0.262137i | 0.780377 | − | 0.625309i | \(-0.215027\pi\) |
−0.931722 | + | 0.363172i | \(0.881694\pi\) | |||||||
\(692\) | −3.45786 | − | 2.22223i | −0.131448 | − | 0.0844766i | ||||
\(693\) | 2.41162 | + | 4.33820i | 0.0916100 | + | 0.164795i | ||||
\(694\) | −0.444547 | − | 0.973421i | −0.0168748 | − | 0.0369506i | ||||
\(695\) | −2.67632 | − | 11.0319i | −0.101518 | − | 0.418465i | ||||
\(696\) | −9.98810 | − | 14.0263i | −0.378598 | − | 0.531667i | ||||
\(697\) | 2.37058 | + | 6.84935i | 0.0897922 | + | 0.259438i | ||||
\(698\) | −8.89741 | + | 3.56198i | −0.336772 | + | 0.134823i | ||||
\(699\) | 2.23227 | − | 0.655455i | 0.0844324 | − | 0.0247916i | ||||
\(700\) | −0.731453 | − | 23.3121i | −0.0276463 | − | 0.881116i | ||||
\(701\) | 34.7119 | − | 22.3080i | 1.31105 | − | 0.842560i | 0.316680 | − | 0.948532i | \(-0.397432\pi\) |
0.994369 | + | 0.105972i | \(0.0337954\pi\) | |||||||
\(702\) | −5.17438 | − | 2.66758i | −0.195294 | − | 0.100681i | ||||
\(703\) | −10.7552 | + | 2.07289i | −0.405638 | + | 0.0781804i | ||||
\(704\) | −2.55580 | + | 10.5351i | −0.0963253 | + | 0.397058i | ||||
\(705\) | 8.99727 | − | 3.60196i | 0.338857 | − | 0.135658i | ||||
\(706\) | 9.56640 | − | 11.0402i | 0.360036 | − | 0.415504i | ||||
\(707\) | 0.944238 | + | 0.628714i | 0.0355117 | + | 0.0236452i | ||||
\(708\) | −0.136382 | − | 0.0400454i | −0.00512555 | − | 0.00150500i | ||||
\(709\) | 27.3165 | − | 38.3607i | 1.02589 | − | 1.44067i | 0.132614 | − | 0.991168i | \(-0.457663\pi\) |
0.893281 | − | 0.449499i | \(-0.148398\pi\) | |||||||
\(710\) | 14.7218 | + | 5.89373i | 0.552501 | + | 0.221188i | ||||
\(711\) | 12.7525 | − | 6.57437i | 0.478256 | − | 0.246558i | ||||
\(712\) | −25.2387 | − | 43.7148i | −0.945862 | − | 1.63828i | ||||
\(713\) | −1.19931 | − | 2.14002i | −0.0449145 | − | 0.0801445i | ||||
\(714\) | −2.67768 | + | 16.6951i | −0.100210 | + | 0.624797i | ||||
\(715\) | −35.4785 | − | 22.8007i | −1.32682 | − | 0.852696i | ||||
\(716\) | −11.8931 | + | 9.35284i | −0.444466 | + | 0.349532i | ||||
\(717\) | −10.2565 | − | 0.979380i | −0.383037 | − | 0.0365756i | ||||
\(718\) | −6.53343 | + | 6.22961i | −0.243825 | + | 0.232487i | ||||
\(719\) | 2.58884 | − | 0.247204i | 0.0965474 | − | 0.00921916i | −0.0466705 | − | 0.998910i | \(-0.514861\pi\) |
0.143218 | + | 0.989691i | \(0.454255\pi\) | |||||||
\(720\) | 0.868045 | − | 1.00178i | 0.0323501 | − | 0.0373340i | ||||
\(721\) | 29.3647 | − | 27.1029i | 1.09360 | − | 1.00937i | ||||
\(722\) | 6.90682 | − | 2.02802i | 0.257045 | − | 0.0754753i | ||||
\(723\) | −4.46839 | + | 12.9106i | −0.166181 | + | 0.480149i | ||||
\(724\) | −0.405330 | − | 8.50893i | −0.0150640 | − | 0.316232i | ||||
\(725\) | 2.16115 | + | 45.3682i | 0.0802633 | + | 1.68493i | ||||
\(726\) | 2.25419 | − | 6.51305i | 0.0836608 | − | 0.241722i | ||||
\(727\) | 32.8563 | − | 9.64748i | 1.21857 | − | 0.357805i | 0.391646 | − | 0.920116i | \(-0.371906\pi\) |
0.826926 | + | 0.562311i | \(0.190088\pi\) | |||||||
\(728\) | −10.6754 | − | 47.3463i | −0.395656 | − | 1.75477i | ||||
\(729\) | −0.654861 | + | 0.755750i | −0.0242541 | + | 0.0279907i | ||||
\(730\) | 27.8824 | − | 2.66245i | 1.03197 | − | 0.0985416i | ||||
\(731\) | 53.9342 | − | 51.4262i | 1.99483 | − | 1.90207i | ||||
\(732\) | −2.59783 | − | 0.248063i | −0.0960187 | − | 0.00916867i | ||||
\(733\) | −0.0145943 | + | 0.0114771i | −0.000539055 | + | 0.000423917i | −0.618428 | − | 0.785841i | \(-0.712230\pi\) |
0.617889 | + | 0.786265i | \(0.287988\pi\) | |||||||
\(734\) | −7.42594 | − | 4.77236i | −0.274097 | − | 0.176151i | ||||
\(735\) | 18.5728 | − | 16.5920i | 0.685066 | − | 0.612007i | ||||
\(736\) | 15.4697 | − | 21.1464i | 0.570221 | − | 0.779467i | ||||
\(737\) | 9.82208 | + | 17.0123i | 0.361801 | + | 0.626658i | ||||
\(738\) | 0.855692 | − | 0.441140i | 0.0314985 | − | 0.0162386i | ||||
\(739\) | −40.2215 | − | 16.1023i | −1.47957 | − | 0.592331i | −0.515244 | − | 0.857044i | \(-0.672299\pi\) |
−0.964327 | + | 0.264713i | \(0.914723\pi\) | |||||||
\(740\) | −7.77973 | + | 10.9251i | −0.285988 | + | 0.401615i | ||||
\(741\) | 20.2777 | + | 5.95407i | 0.744919 | + | 0.218728i | ||||
\(742\) | 0.914807 | − | 14.3117i | 0.0335836 | − | 0.525397i | ||||
\(743\) | −3.49457 | + | 4.03295i | −0.128203 | + | 0.147954i | −0.816222 | − | 0.577739i | \(-0.803935\pi\) |
0.688019 | + | 0.725693i | \(0.258481\pi\) | |||||||
\(744\) | −1.37870 | + | 0.551947i | −0.0505455 | + | 0.0202354i | ||||
\(745\) | 6.14439 | − | 25.3275i | 0.225113 | − | 0.927929i | ||||
\(746\) | −2.06380 | + | 0.397765i | −0.0755610 | + | 0.0145632i | ||||
\(747\) | −2.91912 | − | 1.50491i | −0.106805 | − | 0.0550618i | ||||
\(748\) | 12.6017 | − | 8.09864i | 0.460765 | − | 0.296115i | ||||
\(749\) | −1.68135 | − | 53.5863i | −0.0614352 | − | 1.95800i | ||||
\(750\) | −8.35987 | + | 2.45468i | −0.305259 | + | 0.0896322i | ||||
\(751\) | −20.0220 | + | 8.01561i | −0.730614 | + | 0.292494i | −0.706987 | − | 0.707227i | \(-0.749946\pi\) |
−0.0236277 | + | 0.999721i | \(0.507522\pi\) | |||||||
\(752\) | 0.331937 | + | 0.959070i | 0.0121045 | + | 0.0349737i | ||||
\(753\) | 6.12004 | + | 8.59439i | 0.223027 | + | 0.313197i | ||||
\(754\) | 8.14015 | + | 33.5542i | 0.296447 | + | 1.22197i | ||||
\(755\) | 22.7500 | + | 49.8156i | 0.827958 | + | 1.81298i | ||||
\(756\) | −3.04524 | − | 0.0494398i | −0.110754 | − | 0.00179811i | ||||
\(757\) | 16.5005 | + | 10.6042i | 0.599722 | + | 0.385418i | 0.804990 | − | 0.593288i | \(-0.202170\pi\) |
−0.205269 | + | 0.978706i | \(0.565807\pi\) | |||||||
\(758\) | 7.54658 | + | 13.0711i | 0.274104 | + | 0.474762i | ||||
\(759\) | 5.97829 | − | 6.72358i | 0.216998 | − | 0.244051i | ||||
\(760\) | −17.2740 | + | 29.9195i | −0.626596 | + | 1.08530i | ||||
\(761\) | −1.19642 | + | 25.1159i | −0.0433701 | + | 0.910450i | 0.867419 | + | 0.497578i | \(0.165777\pi\) |
−0.910789 | + | 0.412872i | \(0.864526\pi\) | |||||||
\(762\) | 0.177108 | + | 1.23182i | 0.00641596 | + | 0.0446240i | ||||
\(763\) | 6.37100 | − | 1.75888i | 0.230646 | − | 0.0636756i | ||||
\(764\) | −14.8203 | − | 4.35164i | −0.536181 | − | 0.157437i | ||||
\(765\) | −24.5669 | + | 2.34585i | −0.888216 | + | 0.0848144i | ||||
\(766\) | 8.01320 | + | 23.1526i | 0.289529 | + | 0.836538i | ||||
\(767\) | 0.613278 | + | 0.482287i | 0.0221442 | + | 0.0174144i | ||||
\(768\) | −12.1001 | − | 11.5374i | −0.436624 | − | 0.416320i | ||||
\(769\) | 19.7633 | + | 22.8081i | 0.712683 | + | 0.822480i | 0.990407 | − | 0.138181i | \(-0.0441255\pi\) |
−0.277724 | + | 0.960661i | \(0.589580\pi\) | |||||||
\(770\) | 16.1689 | + | 1.80926i | 0.582688 | + | 0.0652011i | ||||
\(771\) | −3.08997 | + | 1.98580i | −0.111282 | + | 0.0715169i | ||||
\(772\) | −1.39872 | + | 4.04133i | −0.0503410 | + | 0.145451i | ||||
\(773\) | −6.70168 | + | 27.6247i | −0.241043 | + | 0.993591i | 0.714710 | + | 0.699421i | \(0.246559\pi\) |
−0.955753 | + | 0.294171i | \(0.904957\pi\) | |||||||
\(774\) | −7.78066 | − | 6.11878i | −0.279670 | − | 0.219935i | ||||
\(775\) | 3.84645 | + | 0.741343i | 0.138169 | + | 0.0266298i | ||||
\(776\) | −13.6327 | + | 29.8513i | −0.489384 | + | 1.07160i | ||||
\(777\) | −8.63722 | + | 0.683469i | −0.309859 | + | 0.0245193i | ||||
\(778\) | −2.53810 | − | 5.55766i | −0.0909953 | − | 0.199252i | ||||
\(779\) | −2.74718 | + | 2.16041i | −0.0984281 | + | 0.0774047i | ||||
\(780\) | 23.0014 | − | 11.8581i | 0.823584 | − | 0.424587i | ||||
\(781\) | 4.53782 | − | 7.85974i | 0.162376 | − | 0.281244i | ||||
\(782\) | 30.1670 | − | 5.41496i | 1.07877 | − | 0.193639i | ||||
\(783\) | 5.93099 | 0.211956 | ||||||||
\(784\) | 1.64300 | + | 2.02540i | 0.0586785 | + | 0.0723357i | ||||
\(785\) | −1.45580 | − | 10.1253i | −0.0519599 | − | 0.361389i | ||||
\(786\) | 3.60042 | − | 5.05609i | 0.128423 | − | 0.180345i | ||||
\(787\) | 31.6400 | − | 30.1687i | 1.12784 | − | 1.07540i | 0.131384 | − | 0.991332i | \(-0.458058\pi\) |
0.996460 | − | 0.0840659i | \(-0.0267906\pi\) | |||||||
\(788\) | 1.60947 | + | 2.26018i | 0.0573348 | + | 0.0805155i | ||||
\(789\) | −2.19980 | − | 0.423978i | −0.0783151 | − | 0.0150940i | ||||
\(790\) | 6.69304 | − | 46.5511i | 0.238128 | − | 1.65621i | ||||
\(791\) | −31.1117 | + | 23.6593i | −1.10620 | + | 0.841229i | ||||
\(792\) | −3.56672 | − | 4.11622i | −0.126738 | − | 0.146263i | ||||
\(793\) | 12.7319 | + | 6.56376i | 0.452124 | + | 0.233086i | ||||
\(794\) | 1.35719 | + | 28.4910i | 0.0481649 | + | 1.01111i | ||||
\(795\) | 20.5529 | − | 3.96124i | 0.728935 | − | 0.140491i | ||||
\(796\) | −1.23752 | − | 1.17997i | −0.0438628 | − | 0.0418231i | ||||
\(797\) | −2.89322 | + | 20.1228i | −0.102483 | + | 0.712786i | 0.872193 | + | 0.489163i | \(0.162698\pi\) |
−0.974676 | + | 0.223623i | \(0.928212\pi\) | |||||||
\(798\) | −8.02974 | + | 1.41282i | −0.284250 | + | 0.0500133i | ||||
\(799\) | 7.84924 | − | 17.1874i | 0.277686 | − | 0.608048i | ||||
\(800\) | 9.86360 | + | 40.6583i | 0.348731 | + | 1.43749i | ||||
\(801\) | 17.3078 | + | 1.65269i | 0.611541 | + | 0.0583951i | ||||
\(802\) | 26.0118 | + | 10.4136i | 0.918509 | + | 0.367716i | ||||
\(803\) | 0.762744 | − | 16.0120i | 0.0269166 | − | 0.565050i | ||||
\(804\) | −12.0539 | −0.425109 | ||||||||
\(805\) | −39.5080 | − | 21.8417i | −1.39247 | − | 0.769820i | ||||
\(806\) | 2.97784 | 0.104890 | ||||||||
\(807\) | 0.883165 | − | 18.5399i | 0.0310889 | − | 0.652636i | ||||
\(808\) | −1.15564 | − | 0.462649i | −0.0406553 | − | 0.0162759i | ||||
\(809\) | −15.5328 | − | 1.48321i | −0.546105 | − | 0.0521467i | −0.181642 | − | 0.983365i | \(-0.558141\pi\) |
−0.364463 | + | 0.931218i | \(0.618747\pi\) | |||||||
\(810\) | 0.772801 | + | 3.18553i | 0.0271535 | + | 0.111928i | ||||
\(811\) | −12.7228 | + | 27.8591i | −0.446758 | + | 0.978264i | 0.543550 | + | 0.839377i | \(0.317080\pi\) |
−0.990308 | + | 0.138887i | \(0.955647\pi\) | |||||||
\(812\) | 11.6060 | + | 13.8419i | 0.407292 | + | 0.485754i | ||||
\(813\) | −1.38094 | + | 9.60465i | −0.0484317 | + | 0.336850i | ||||
\(814\) | −4.09648 | − | 3.90599i | −0.143582 | − | 0.136905i | ||||
\(815\) | −70.5351 | + | 13.5945i | −2.47074 | + | 0.476196i | ||||
\(816\) | −0.122967 | − | 2.58140i | −0.00430472 | − | 0.0903671i | ||||
\(817\) | 31.9393 | + | 16.4659i | 1.11742 | + | 0.576068i | ||||
\(818\) | −1.56624 | − | 1.80754i | −0.0547623 | − | 0.0631991i | ||||
\(819\) | 15.4170 | + | 6.46436i | 0.538714 | + | 0.225883i | ||||
\(820\) | −0.609036 | + | 4.23594i | −0.0212685 | + | 0.147925i | ||||
\(821\) | −0.336951 | − | 0.0649420i | −0.0117597 | − | 0.00226649i | 0.183368 | − | 0.983044i | \(-0.441300\pi\) |
−0.195128 | + | 0.980778i | \(0.562512\pi\) | |||||||
\(822\) | 6.50912 | + | 9.14078i | 0.227032 | + | 0.318821i | ||||
\(823\) | 13.7772 | − | 13.1365i | 0.480243 | − | 0.457911i | −0.410869 | − | 0.911694i | \(-0.634775\pi\) |
0.891112 | + | 0.453784i | \(0.149926\pi\) | |||||||
\(824\) | −25.4355 | + | 35.7191i | −0.886086 | + | 1.24433i | ||||
\(825\) | 2.04457 | + | 14.2203i | 0.0711828 | + | 0.495087i | ||||
\(826\) | −0.294586 | − | 0.0617527i | −0.0102500 | − | 0.00214865i | ||||
\(827\) | 34.9537 | 1.21546 | 0.607730 | − | 0.794143i | \(-0.292080\pi\) | ||||
0.607730 | + | 0.794143i | \(0.292080\pi\) | |||||||
\(828\) | 1.73876 | + | 5.23974i | 0.0604263 | + | 0.182093i | ||||
\(829\) | −26.3716 | + | 45.6770i | −0.915925 | + | 1.58643i | −0.110383 | + | 0.993889i | \(0.535208\pi\) |
−0.805542 | + | 0.592539i | \(0.798126\pi\) | |||||||
\(830\) | −9.56866 | + | 4.93299i | −0.332133 | + | 0.171227i | ||||
\(831\) | 2.61843 | − | 2.05916i | 0.0908325 | − | 0.0714315i | ||||
\(832\) | 15.1679 | + | 33.2131i | 0.525853 | + | 1.15146i | ||||
\(833\) | 3.88353 | − | 48.3996i | 0.134556 | − | 1.67695i | ||||
\(834\) | −1.22120 | + | 2.67404i | −0.0422865 | + | 0.0925946i | ||||
\(835\) | 28.9339 | + | 5.57655i | 1.00130 | + | 0.192985i | ||||
\(836\) | 5.67771 | + | 4.46500i | 0.196368 | + | 0.154425i | ||||
\(837\) | 0.120596 | − | 0.497102i | 0.00416840 | − | 0.0171824i | ||||
\(838\) | 6.42896 | − | 18.5752i | 0.222085 | − | 0.641671i | ||||
\(839\) | −25.0246 | + | 16.0823i | −0.863945 | + | 0.555224i | −0.895895 | − | 0.444266i | \(-0.853465\pi\) |
0.0319502 | + | 0.999489i | \(0.489828\pi\) | |||||||
\(840\) | −16.2114 | + | 22.0009i | −0.559347 | + | 0.759104i | ||||
\(841\) | −4.04486 | − | 4.66802i | −0.139478 | − | 0.160966i | ||||
\(842\) | −22.1364 | − | 21.1070i | −0.762871 | − | 0.727396i | ||||
\(843\) | 11.0656 | + | 8.70211i | 0.381121 | + | 0.299717i | ||||
\(844\) | −5.26247 | − | 15.2049i | −0.181142 | − | 0.523375i | ||||
\(845\) | −95.3590 | + | 9.10568i | −3.28045 | + | 0.313245i | ||||
\(846\) | −2.40805 | − | 0.707068i | −0.0827906 | − | 0.0243095i | ||||
\(847\) | −4.97770 | + | 19.1556i | −0.171036 | + | 0.658194i | ||||
\(848\) | 0.311939 | + | 2.16959i | 0.0107120 | + | 0.0745039i | ||||
\(849\) | −0.256231 | + | 5.37895i | −0.00879382 | + | 0.184605i | ||||
\(850\) | −24.4704 | + | 42.3839i | −0.839327 | + | 1.45376i | ||||
\(851\) | 6.34092 | + | 14.3683i | 0.217364 | + | 0.492538i | ||||
\(852\) | 2.78447 | + | 4.82285i | 0.0953944 | + | 0.165228i | ||||
\(853\) | −22.6201 | − | 14.5371i | −0.774498 | − | 0.497739i | 0.0927058 | − | 0.995694i | \(-0.470448\pi\) |
−0.867203 | + | 0.497954i | \(0.834085\pi\) | |||||||
\(854\) | −5.52536 | − | 0.0897047i | −0.189074 | − | 0.00306963i | ||||
\(855\) | −4.94335 | − | 10.8244i | −0.169059 | − | 0.370188i | ||||
\(856\) | 13.8699 | + | 57.1723i | 0.474062 | + | 1.95411i | ||||
\(857\) | −14.5186 | − | 20.3885i | −0.495946 | − | 0.696459i | 0.488417 | − | 0.872610i | \(-0.337575\pi\) |
−0.984363 | + | 0.176151i | \(0.943635\pi\) | |||||||
\(858\) | 3.57199 | + | 10.3206i | 0.121946 | + | 0.352339i | ||||
\(859\) | −10.5013 | + | 4.20408i | −0.358299 | + | 0.143441i | −0.543826 | − | 0.839198i | \(-0.683025\pi\) |
0.185527 | + | 0.982639i | \(0.440601\pi\) | |||||||
\(860\) | 42.2185 | − | 12.3965i | 1.43964 | − | 0.422716i | ||||
\(861\) | −2.34967 | + | 1.45669i | −0.0800764 | + | 0.0496440i | ||||
\(862\) | −7.27456 | + | 4.67508i | −0.247772 | + | 0.159234i | ||||
\(863\) | −3.74043 | − | 1.92832i | −0.127326 | − | 0.0656409i | 0.393387 | − | 0.919373i | \(-0.371303\pi\) |
−0.520712 | + | 0.853732i | \(0.674334\pi\) | |||||||
\(864\) | 5.36452 | − | 1.03393i | 0.182505 | − | 0.0351749i | ||||
\(865\) | 2.99503 | − | 12.3457i | 0.101834 | − | 0.419766i | ||||
\(866\) | −29.9501 | + | 11.9902i | −1.01774 | + | 0.407444i | ||||
\(867\) | −20.3756 | + | 23.5147i | −0.691992 | + | 0.798601i | ||||
\(868\) | 1.39613 | − | 0.691305i | 0.0473879 | − | 0.0234644i | ||||
\(869\) | −25.8256 | − | 7.58308i | −0.876074 | − | 0.257239i | ||||
\(870\) | 11.2771 | − | 15.8365i | 0.382329 | − | 0.536907i | ||||
\(871\) | 61.4241 | + | 24.5905i | 2.08128 | + | 0.833217i | ||||
\(872\) | −6.44636 | + | 3.32333i | −0.218301 | + | 0.112542i | ||||
\(873\) | −5.65175 | − | 9.78912i | −0.191283 | − | 0.331312i | ||||
\(874\) | 7.22504 | + | 12.8922i | 0.244391 | + | 0.436086i | ||||
\(875\) | 23.3758 | − | 8.92077i | 0.790247 | − | 0.301577i | ||||
\(876\) | 8.27483 | + | 5.31791i | 0.279580 | + | 0.179675i | ||||
\(877\) | −8.49426 | + | 6.67996i | −0.286831 | + | 0.225566i | −0.751199 | − | 0.660076i | \(-0.770524\pi\) |
0.464368 | + | 0.885642i | \(0.346282\pi\) | |||||||
\(878\) | 3.87865 | + | 0.370366i | 0.130898 | + | 0.0124993i | ||||
\(879\) | −18.4944 | + | 17.6343i | −0.623799 | + | 0.594791i | ||||
\(880\) | −2.47547 | + | 0.236379i | −0.0834480 | + | 0.00796832i | ||||
\(881\) | 5.41448 | − | 6.24864i | 0.182418 | − | 0.210522i | −0.657174 | − | 0.753739i | \(-0.728248\pi\) |
0.839592 | + | 0.543217i | \(0.182794\pi\) | |||||||
\(882\) | −6.43664 | + | 0.404317i | −0.216733 | + | 0.0136141i | ||||
\(883\) | −31.0661 | + | 9.12183i | −1.04546 | + | 0.306974i | −0.758981 | − | 0.651113i | \(-0.774302\pi\) |
−0.286477 | + | 0.958087i | \(0.592484\pi\) | |||||||
\(884\) | 16.5016 | − | 47.6783i | 0.555009 | − | 1.60359i | ||||
\(885\) | −0.0209031 | − | 0.438809i | −0.000702649 | − | 0.0147504i | ||||
\(886\) | 0.0234786 | + | 0.492877i | 0.000788780 | + | 0.0165585i | ||||
\(887\) | −6.19391 | + | 17.8961i | −0.207971 | + | 0.600894i | −0.999953 | − | 0.00965071i | \(-0.996928\pi\) |
0.791982 | + | 0.610544i | \(0.209049\pi\) | |||||||
\(888\) | 9.12236 | − | 2.67857i | 0.306127 | − | 0.0898869i | ||||
\(889\) | −0.786051 | − | 3.48621i | −0.0263633 | − | 0.116924i | ||||
\(890\) | 37.3217 | − | 43.0715i | 1.25103 | − | 1.44376i | ||||
\(891\) | 1.86752 | − | 0.178326i | 0.0625641 | − | 0.00597415i | ||||
\(892\) | −3.68300 | + | 3.51174i | −0.123316 | + | 0.117582i | ||||
\(893\) | 9.06970 | + | 0.866051i | 0.303506 | + | 0.0289813i | ||||
\(894\) | −5.30513 | + | 4.17200i | −0.177430 | + | 0.139533i | ||||
\(895\) | −39.3389 | − | 25.2816i | −1.31496 | − | 0.845071i | ||||
\(896\) | 11.5012 | + | 9.35074i | 0.384227 | + | 0.312386i | ||||
\(897\) | 1.82892 | − | 30.2477i | 0.0610658 | − | 1.00994i | ||||
\(898\) | −12.9386 | − | 22.4103i | −0.431766 | − | 0.747841i | ||||
\(899\) | −2.69658 | + | 1.39018i | −0.0899358 | + | 0.0463651i | ||||
\(900\) | −8.18402 | − | 3.27639i | −0.272801 | − | 0.109213i | ||||
\(901\) | 23.6711 | − | 33.2414i | 0.788597 | − | 1.10743i | ||||
\(902\) | −1.73290 | − | 0.508825i | −0.0576992 | − | 0.0169420i | ||||
\(903\) | 23.6598 | + | 15.7537i | 0.787350 | + | 0.524252i | ||||
\(904\) | 28.0869 | − | 32.4140i | 0.934157 | − | 1.07807i | ||||
\(905\) | 24.4422 | − | 9.78517i | 0.812485 | − | 0.325270i | ||||
\(906\) | 3.34350 | − | 13.7821i | 0.111080 | − | 0.457880i | ||||
\(907\) | 6.06253 | − | 1.16846i | 0.201303 | − | 0.0387980i | −0.0876028 | − | 0.996155i | \(-0.527921\pi\) |
0.288906 | + | 0.957357i | \(0.406709\pi\) | |||||||
\(908\) | −4.27981 | − | 2.20640i | −0.142031 | − | 0.0732219i | ||||
\(909\) | 0.360699 | − | 0.231807i | 0.0119636 | − | 0.00768855i | ||||
\(910\) | 46.5743 | − | 28.8741i | 1.54392 | − | 0.957167i | ||||
\(911\) | 19.5951 | − | 5.75363i | 0.649213 | − | 0.190626i | 0.0594865 | − | 0.998229i | \(-0.481054\pi\) |
0.589727 | + | 0.807603i | \(0.299236\pi\) | |||||||
\(912\) | 1.15688 | − | 0.463143i | 0.0383080 | − | 0.0153362i | ||||
\(913\) | 2.01513 | + | 5.82234i | 0.0666912 | + | 0.192691i | ||||
\(914\) | 9.16107 | + | 12.8649i | 0.303021 | + | 0.425534i | ||||
\(915\) | −1.90153 | − | 7.83821i | −0.0628626 | − | 0.259123i | ||||
\(916\) | 13.6929 | + | 29.9833i | 0.452427 | + | 0.990676i | ||||
\(917\) | −9.16161 | + | 15.2897i | −0.302543 | + | 0.504910i | ||||
\(918\) | 5.37627 | + | 3.45512i | 0.177443 | + | 0.114036i | ||||
\(919\) | −23.7739 | − | 41.1775i | −0.784228 | − | 1.35832i | −0.929459 | − | 0.368924i | \(-0.879726\pi\) |
0.145232 | − | 0.989398i | \(-0.453607\pi\) | |||||||
\(920\) | 47.3482 | + | 14.5631i | 1.56103 | + | 0.480131i | ||||
\(921\) | −2.51743 | + | 4.36032i | −0.0829523 | + | 0.143678i | ||||
\(922\) | −0.260763 | + | 5.47409i | −0.00858778 | + | 0.180280i | ||||
\(923\) | −4.35024 | − | 30.2566i | −0.143190 | − | 0.995907i | ||||
\(924\) | 4.07062 | + | 4.00948i | 0.133914 | + | 0.131902i | ||||
\(925\) | −24.0624 | − | 7.06536i | −0.791167 | − | 0.232307i | ||||
\(926\) | −5.36870 | + | 0.512648i | −0.176426 | + | 0.0168467i | ||||
\(927\) | −4.93994 | − | 14.2730i | −0.162249 | − | 0.468788i | ||||
\(928\) | −25.4701 | − | 20.0299i | −0.836096 | − | 0.657513i | ||||
\(929\) | −2.12455 | − | 2.02575i | −0.0697041 | − | 0.0664628i | 0.654426 | − | 0.756126i | \(-0.272910\pi\) |
−0.724130 | + | 0.689663i | \(0.757759\pi\) | |||||||
\(930\) | −1.09803 | − | 1.26719i | −0.0360057 | − | 0.0415527i | ||||
\(931\) | 22.6667 | − | 5.86345i | 0.742873 | − | 0.192167i | ||||
\(932\) | 2.25301 | − | 1.44792i | 0.0737998 | − | 0.0474282i | ||||
\(933\) | 6.76690 | − | 19.5517i | 0.221538 | − | 0.640093i | ||||
\(934\) | 2.23462 | − | 9.21121i | 0.0731188 | − | 0.301400i | ||||
\(935\) | 36.3921 | + | 28.6191i | 1.19015 | + | 0.935944i | ||||
\(936\) | −18.0130 | − | 3.47172i | −0.588773 | − | 0.113477i | ||||
\(937\) | 21.1919 | − | 46.4039i | 0.692311 | − | 1.51595i | −0.156741 | − | 0.987640i | \(-0.550099\pi\) |
0.849052 | − | 0.528309i | \(-0.177174\pi\) | |||||||
\(938\) | −25.4453 | + | 2.01351i | −0.830820 | + | 0.0657433i | ||||
\(939\) | 7.85621 | + | 17.2027i | 0.256378 | + | 0.561389i | ||||
\(940\) | 8.76946 | − | 6.89638i | 0.286028 | − | 0.224935i | ||||
\(941\) | 9.70113 | − | 5.00128i | 0.316248 | − | 0.163037i | −0.292793 | − | 0.956176i | \(-0.594585\pi\) |
0.609041 | + | 0.793139i | \(0.291554\pi\) | |||||||
\(942\) | −1.32451 | + | 2.29412i | −0.0431550 | + | 0.0747466i | ||||
\(943\) | 3.89914 | + | 3.14786i | 0.126973 | + | 0.102509i | ||||
\(944\) | 0.0460040 | 0.00149730 | ||||||||
\(945\) | −2.93391 | − | 8.94418i | −0.0954402 | − | 0.290954i | ||||
\(946\) | 2.64271 | + | 18.3805i | 0.0859220 | + | 0.597601i | ||||
\(947\) | 15.2576 | − | 21.4264i | 0.495807 | − | 0.696263i | −0.488533 | − | 0.872546i | \(-0.662468\pi\) |
0.984340 | + | 0.176282i | \(0.0564071\pi\) | |||||||
\(948\) | 11.9532 | − | 11.3973i | 0.388221 | − | 0.370168i | ||||
\(949\) | −31.3179 | − | 43.9798i | −1.01662 | − | 1.42765i | ||||
\(950\) | −23.1723 | − | 4.46610i | −0.751809 | − | 0.144899i | ||||
\(951\) | −4.15718 | + | 28.9138i | −0.134806 | + | 0.937595i | ||||
\(952\) | 6.72556 | + | 52.8547i | 0.217977 | + | 1.71303i | ||||
\(953\) | 8.33108 | + | 9.61458i | 0.269870 | + | 0.311447i | 0.874467 | − | 0.485085i | \(-0.161211\pi\) |
−0.604597 | + | 0.796532i | \(0.706666\pi\) | |||||||
\(954\) | −4.81779 | − | 2.48374i | −0.155982 | − | 0.0804141i | ||||
\(955\) | −2.27149 | − | 47.6844i | −0.0735037 | − | 1.54303i | ||||
\(956\) | −11.6461 | + | 2.24461i | −0.376663 | + | 0.0725958i | ||||
\(957\) | −8.05270 | − | 7.67823i | −0.260307 | − | 0.248202i | ||||
\(958\) | −4.82164 | + | 33.5353i | −0.155780 | + | 1.08348i | ||||
\(959\) | −20.7043 | − | 24.6929i | −0.668578 | − | 0.797374i | ||||
\(960\) | 8.54060 | − | 18.7013i | 0.275647 | − | 0.603582i | ||||
\(961\) | −7.24684 | − | 29.8719i | −0.233769 | − | 0.963609i | ||||
\(962\) | −18.9778 | − | 1.81216i | −0.611870 | − | 0.0584265i | ||||
\(963\) | −18.8122 | − | 7.53125i | −0.606213 | − | 0.242691i | ||||
\(964\) | −0.748316 | + | 15.7091i | −0.0241016 | + | 0.505956i | ||||
\(965\) | −13.2174 | −0.425482 | ||||||||
\(966\) | 4.54572 | + | 10.7704i | 0.146256 | + | 0.346533i | ||||
\(967\) | −46.1830 | −1.48514 | −0.742572 | − | 0.669766i | \(-0.766394\pi\) | ||||
−0.742572 | + | 0.669766i | \(0.766394\pi\) | |||||||
\(968\) | 1.03339 | − | 21.6934i | 0.0332143 | − | 0.697254i | ||||
\(969\) | −21.5384 | − | 8.62268i | −0.691914 | − | 0.277001i | ||||
\(970\) | −36.8843 | − | 3.52202i | −1.18428 | − | 0.113085i | ||||
\(971\) | 10.2137 | + | 42.1016i | 0.327775 | + | 1.35111i | 0.862491 | + | 0.506073i | \(0.168903\pi\) |
−0.534716 | + | 0.845032i | \(0.679581\pi\) | |||||||
\(972\) | −0.478203 | + | 1.04712i | −0.0153384 | + | 0.0335864i | ||||
\(973\) | 2.89018 | − | 7.93164i | 0.0926549 | − | 0.254277i | ||||
\(974\) | 3.34417 | − | 23.2592i | 0.107154 | − | 0.745274i | ||||
\(975\) | 35.0200 | + | 33.3915i | 1.12154 | + | 1.06938i | ||||
\(976\) | 0.829358 | − | 0.159846i | 0.0265471 | − | 0.00511654i | ||||
\(977\) | −0.979286 | − | 20.5578i | −0.0313302 | − | 0.657701i | −0.958848 | − | 0.283921i | \(-0.908365\pi\) |
0.927518 | − | 0.373780i | \(-0.121938\pi\) | |||||||
\(978\) | 16.5341 | + | 8.52392i | 0.528702 | + | 0.272565i | ||||
\(979\) | −21.3598 | − | 24.6505i | −0.682661 | − | 0.787833i | ||||
\(980\) | 15.1329 | − | 24.3496i | 0.483401 | − | 0.777820i | ||||
\(981\) | 0.355516 | − | 2.47267i | 0.0113507 | − | 0.0789461i | ||||
\(982\) | −29.2000 | − | 5.62784i | −0.931810 | − | 0.179592i | ||||
\(983\) | −19.2590 | − | 27.0455i | −0.614267 | − | 0.862617i | 0.383885 | − | 0.923381i | \(-0.374586\pi\) |
−0.998152 | + | 0.0607635i | \(0.980646\pi\) | |||||||
\(984\) | 2.19555 | − | 2.09345i | 0.0699916 | − | 0.0667369i | ||||
\(985\) | −4.97433 | + | 6.98546i | −0.158495 | + | 0.222575i | ||||
\(986\) | −5.39426 | − | 37.5179i | −0.171788 | − | 1.19481i | ||||
\(987\) | 7.05372 | + | 1.47864i | 0.224523 | + | 0.0470656i | ||||
\(988\) | 24.3280 | 0.773978 | ||||||||
\(989\) | 12.7868 | − | 49.9124i | 0.406596 | − | 1.58712i | ||||
\(990\) | 3.07471 | − | 5.32556i | 0.0977208 | − | 0.169257i | ||||
\(991\) | 6.48392 | − | 3.34269i | 0.205969 | − | 0.106184i | −0.352156 | − | 0.935941i | \(-0.614551\pi\) |
0.558125 | + | 0.829757i | \(0.311521\pi\) | |||||||
\(992\) | −2.19668 | + | 1.72749i | −0.0697446 | + | 0.0548478i | ||||
\(993\) | −12.6490 | − | 27.6974i | −0.401403 | − | 0.878949i | ||||
\(994\) | 6.68352 | + | 9.71571i | 0.211988 | + | 0.308164i | ||||
\(995\) | 2.19537 | − | 4.80720i | 0.0695980 | − | 0.152398i | ||||
\(996\) | −3.71228 | − | 0.715483i | −0.117628 | − | 0.0226710i | ||||
\(997\) | −15.5668 | − | 12.2419i | −0.493006 | − | 0.387704i | 0.340474 | − | 0.940254i | \(-0.389412\pi\) |
−0.833480 | + | 0.552550i | \(0.813655\pi\) | |||||||
\(998\) | −0.834097 | + | 3.43819i | −0.0264029 | + | 0.108834i | ||||
\(999\) | −1.07107 | + | 3.09466i | −0.0338872 | + | 0.0979107i |
(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 | 483.2.y.b.25.10 | ✓ | 320 | |
7.2 | even | 3 | inner | 483.2.y.b.163.7 | yes | 320 | |
23.12 | even | 11 | inner | 483.2.y.b.403.7 | yes | 320 | |
161.58 | even | 33 | inner | 483.2.y.b.58.10 | yes | 320 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.y.b.25.10 | ✓ | 320 | 1.1 | even | 1 | trivial | |
483.2.y.b.58.10 | yes | 320 | 161.58 | even | 33 | inner | |
483.2.y.b.163.7 | yes | 320 | 7.2 | even | 3 | inner | |
483.2.y.b.403.7 | yes | 320 | 23.12 | even | 11 | inner |