Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [507,2,Mod(4,507)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(507, base_ring=CyclotomicField(78))
chi = DirichletCharacter(H, H._module([0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("507.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 507 = 3 \cdot 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 507.t (of order \(78\), degree \(24\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.04841538248\) |
Analytic rank: | \(0\) |
Dimension: | \(336\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{78})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{78}]$ |
Embedding invariants
Embedding label | 322.3 | ||
Character | \(\chi\) | \(=\) | 507.322 |
Dual form | 507.2.t.a.433.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/507\mathbb{Z}\right)^\times\).
\(n\) | \(170\) | \(340\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{41}{78}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.157991 | + | 1.95707i | −0.111717 | + | 1.38386i | 0.661608 | + | 0.749850i | \(0.269874\pi\) |
−0.773325 | + | 0.634010i | \(0.781408\pi\) | |||||||
\(3\) | −0.845190 | − | 0.534466i | −0.487971 | − | 0.308574i | ||||
\(4\) | −1.83107 | − | 0.297579i | −0.915537 | − | 0.148789i | ||||
\(5\) | −2.06277 | + | 2.32838i | −0.922498 | + | 1.04129i | 0.0765235 | + | 0.997068i | \(0.475618\pi\) |
−0.999022 | + | 0.0442176i | \(0.985920\pi\) | |||||||
\(6\) | 1.17952 | − | 1.56966i | 0.481538 | − | 0.640810i | ||||
\(7\) | −0.626525 | − | 0.601786i | −0.236804 | − | 0.227454i | 0.564923 | − | 0.825144i | \(-0.308906\pi\) |
−0.801727 | + | 0.597690i | \(0.796085\pi\) | |||||||
\(8\) | −0.0680870 | + | 0.276240i | −0.0240724 | + | 0.0976655i | ||||
\(9\) | 0.428693 | + | 0.903450i | 0.142898 | + | 0.301150i | ||||
\(10\) | −4.23092 | − | 4.40486i | −1.33793 | − | 1.39294i | ||||
\(11\) | 1.11932 | + | 0.531123i | 0.337487 | + | 0.160140i | 0.589892 | − | 0.807482i | \(-0.299170\pi\) |
−0.252405 | + | 0.967622i | \(0.581222\pi\) | |||||||
\(12\) | 1.38856 | + | 1.23016i | 0.400843 | + | 0.355116i | ||||
\(13\) | −3.59765 | − | 0.238588i | −0.997808 | − | 0.0661724i | ||||
\(14\) | 1.27672 | − | 1.13108i | 0.341219 | − | 0.302294i | ||||
\(15\) | 2.98787 | − | 0.865448i | 0.771466 | − | 0.223458i | ||||
\(16\) | −4.04912 | − | 1.35179i | −1.01228 | − | 0.337949i | ||||
\(17\) | 2.79924 | − | 2.91431i | 0.678914 | − | 0.706825i | −0.289218 | − | 0.957263i | \(-0.593395\pi\) |
0.968133 | + | 0.250439i | \(0.0805748\pi\) | |||||||
\(18\) | −1.83585 | + | 0.696246i | −0.432714 | + | 0.164107i | ||||
\(19\) | −2.44600 | − | 1.41220i | −0.561151 | − | 0.323981i | 0.192457 | − | 0.981306i | \(-0.438355\pi\) |
−0.753607 | + | 0.657325i | \(0.771688\pi\) | |||||||
\(20\) | 4.46996 | − | 3.64961i | 0.999514 | − | 0.816078i | ||||
\(21\) | 0.207899 | + | 0.843480i | 0.0453673 | + | 0.184062i | ||||
\(22\) | −1.21629 | + | 2.10667i | −0.259314 | + | 0.449144i | ||||
\(23\) | −1.19034 | − | 2.06172i | −0.248202 | − | 0.429899i | 0.714825 | − | 0.699304i | \(-0.246506\pi\) |
−0.963027 | + | 0.269404i | \(0.913173\pi\) | |||||||
\(24\) | 0.205187 | − | 0.197085i | 0.0418837 | − | 0.0402298i | ||||
\(25\) | −0.563677 | − | 4.64230i | −0.112735 | − | 0.928459i | ||||
\(26\) | 1.03533 | − | 7.00317i | 0.203045 | − | 1.37343i | ||||
\(27\) | 0.120537 | − | 0.992709i | 0.0231973 | − | 0.191047i | ||||
\(28\) | 0.968136 | + | 1.28836i | 0.182961 | + | 0.243476i | ||||
\(29\) | −2.53598 | − | 0.204725i | −0.470919 | − | 0.0380165i | −0.157270 | − | 0.987556i | \(-0.550269\pi\) |
−0.313649 | + | 0.949539i | \(0.601551\pi\) | |||||||
\(30\) | 1.22169 | + | 5.98422i | 0.223049 | + | 1.09256i | ||||
\(31\) | 1.31072 | + | 0.159150i | 0.235412 | + | 0.0285842i | 0.237393 | − | 0.971414i | \(-0.423707\pi\) |
−0.00198024 | + | 0.999998i | \(0.500630\pi\) | |||||||
\(32\) | 3.06225 | − | 7.18737i | 0.541335 | − | 1.27056i | ||||
\(33\) | −0.662169 | − | 1.04714i | −0.115269 | − | 0.182283i | ||||
\(34\) | 5.26127 | + | 5.93875i | 0.902300 | + | 1.01849i | ||||
\(35\) | 2.69357 | − | 0.217447i | 0.455296 | − | 0.0367553i | ||||
\(36\) | −0.516121 | − | 1.78185i | −0.0860201 | − | 0.296976i | ||||
\(37\) | −2.78648 | − | 6.54010i | −0.458094 | − | 1.07519i | −0.975610 | − | 0.219512i | \(-0.929553\pi\) |
0.517516 | − | 0.855674i | \(-0.326857\pi\) | |||||||
\(38\) | 3.15022 | − | 4.56389i | 0.511034 | − | 0.740360i | ||||
\(39\) | 2.91318 | + | 2.12447i | 0.466482 | + | 0.340188i | ||||
\(40\) | −0.502745 | − | 0.728352i | −0.0794909 | − | 0.115163i | ||||
\(41\) | −3.02682 | + | 4.78653i | −0.472709 | + | 0.747530i | −0.994409 | − | 0.105599i | \(-0.966324\pi\) |
0.521699 | + | 0.853129i | \(0.325298\pi\) | |||||||
\(42\) | −1.68360 | + | 0.273611i | −0.259785 | + | 0.0422191i | ||||
\(43\) | −2.78744 | − | 1.18762i | −0.425081 | − | 0.181110i | 0.168823 | − | 0.985646i | \(-0.446004\pi\) |
−0.593903 | + | 0.804537i | \(0.702414\pi\) | |||||||
\(44\) | −1.89150 | − | 1.30561i | −0.285155 | − | 0.196828i | ||||
\(45\) | −2.98787 | − | 0.865448i | −0.445406 | − | 0.129013i | ||||
\(46\) | 4.22301 | − | 2.00384i | 0.622649 | − | 0.295450i | ||||
\(47\) | 4.83967 | + | 1.83544i | 0.705938 | + | 0.267727i | 0.681336 | − | 0.731970i | \(-0.261399\pi\) |
0.0246015 | + | 0.999697i | \(0.492168\pi\) | |||||||
\(48\) | 2.69979 | + | 3.30664i | 0.389681 | + | 0.477272i | ||||
\(49\) | −0.251474 | − | 6.24025i | −0.0359248 | − | 0.891465i | ||||
\(50\) | 9.17437 | − | 0.369715i | 1.29745 | − | 0.0522855i | ||||
\(51\) | −3.92349 | + | 0.967053i | −0.549398 | + | 0.135414i | ||||
\(52\) | 6.51656 | + | 1.50746i | 0.903685 | + | 0.209046i | ||||
\(53\) | −9.34106 | − | 2.30236i | −1.28309 | − | 0.316254i | −0.461914 | − | 0.886925i | \(-0.652837\pi\) |
−0.821179 | + | 0.570671i | \(0.806683\pi\) | |||||||
\(54\) | 1.92376 | + | 0.392739i | 0.261791 | + | 0.0534449i | ||||
\(55\) | −3.54555 | + | 1.51062i | −0.478082 | + | 0.203692i | ||||
\(56\) | 0.208895 | − | 0.132097i | 0.0279148 | − | 0.0176523i | ||||
\(57\) | 1.31256 | + | 2.50088i | 0.173853 | + | 0.331250i | ||||
\(58\) | 0.801324 | − | 4.93074i | 0.105219 | − | 0.647438i | ||||
\(59\) | 4.77217 | + | 14.2944i | 0.621284 | + | 1.86097i | 0.494805 | + | 0.869004i | \(0.335239\pi\) |
0.126479 | + | 0.991969i | \(0.459632\pi\) | |||||||
\(60\) | −5.72856 | + | 0.695573i | −0.739554 | + | 0.0897981i | ||||
\(61\) | −3.99443 | + | 13.7904i | −0.511434 | + | 1.76568i | 0.122690 | + | 0.992445i | \(0.460848\pi\) |
−0.634125 | + | 0.773231i | \(0.718639\pi\) | |||||||
\(62\) | −0.518551 | + | 2.54003i | −0.0658560 | + | 0.322584i | ||||
\(63\) | 0.275097 | − | 0.824016i | 0.0346589 | − | 0.103816i | ||||
\(64\) | 6.02272 | + | 3.16097i | 0.752840 | + | 0.395121i | ||||
\(65\) | 7.97664 | − | 7.88456i | 0.989381 | − | 0.977959i | ||||
\(66\) | 2.15394 | − | 1.13048i | 0.265132 | − | 0.139152i | ||||
\(67\) | −0.0467316 | − | 0.287551i | −0.00570918 | − | 0.0351300i | 0.984039 | − | 0.177951i | \(-0.0569468\pi\) |
−0.989749 | + | 0.142821i | \(0.954383\pi\) | |||||||
\(68\) | −5.99285 | + | 4.50333i | −0.726739 | + | 0.546109i | ||||
\(69\) | −0.0958601 | + | 2.37874i | −0.0115402 | + | 0.286367i | ||||
\(70\) | 5.30586i | 0.634172i | ||||||||
\(71\) | −7.55065 | − | 0.304281i | −0.896097 | − | 0.0361115i | −0.412058 | − | 0.911158i | \(-0.635190\pi\) |
−0.484039 | + | 0.875046i | \(0.660831\pi\) | |||||||
\(72\) | −0.278757 | + | 0.0569087i | −0.0328519 | + | 0.00670676i | ||||
\(73\) | 1.45580 | − | 1.00486i | 0.170388 | − | 0.117610i | −0.479819 | − | 0.877368i | \(-0.659298\pi\) |
0.650207 | + | 0.759757i | \(0.274682\pi\) | |||||||
\(74\) | 13.2397 | − | 4.42006i | 1.53908 | − | 0.513822i | ||||
\(75\) | −2.00473 | + | 4.22489i | −0.231487 | + | 0.487848i | ||||
\(76\) | 4.05857 | + | 3.31372i | 0.465550 | + | 0.380109i | ||||
\(77\) | −0.381659 | − | 1.00635i | −0.0434941 | − | 0.114684i | ||||
\(78\) | −4.61801 | + | 5.36566i | −0.522886 | + | 0.607541i | ||||
\(79\) | −1.23335 | + | 3.25208i | −0.138763 | + | 0.365888i | −0.986326 | − | 0.164807i | \(-0.947300\pi\) |
0.847563 | + | 0.530695i | \(0.178069\pi\) | |||||||
\(80\) | 11.4999 | − | 6.63947i | 1.28573 | − | 0.742315i | ||||
\(81\) | −0.632445 | + | 0.774605i | −0.0702717 | + | 0.0860672i | ||||
\(82\) | −8.88938 | − | 6.67993i | −0.981667 | − | 0.737675i | ||||
\(83\) | −6.34669 | + | 12.0926i | −0.696640 | + | 1.32734i | 0.237834 | + | 0.971306i | \(0.423562\pi\) |
−0.934474 | + | 0.356031i | \(0.884130\pi\) | |||||||
\(84\) | −0.129677 | − | 1.60634i | −0.0141489 | − | 0.175266i | ||||
\(85\) | 1.01147 | + | 12.5293i | 0.109709 | + | 1.35899i | ||||
\(86\) | 2.76465 | − | 5.26759i | 0.298119 | − | 0.568019i | ||||
\(87\) | 2.03396 | + | 1.52842i | 0.218064 | + | 0.163864i | ||||
\(88\) | −0.222928 | + | 0.273038i | −0.0237642 | + | 0.0291059i | ||||
\(89\) | −5.23329 | + | 3.02144i | −0.554728 | + | 0.320272i | −0.751027 | − | 0.660272i | \(-0.770441\pi\) |
0.196299 | + | 0.980544i | \(0.437108\pi\) | |||||||
\(90\) | 2.16580 | − | 5.71076i | 0.228296 | − | 0.601967i | ||||
\(91\) | 2.11044 | + | 2.31450i | 0.221234 | + | 0.242625i | ||||
\(92\) | 1.56607 | + | 4.12939i | 0.163274 | + | 0.430519i | ||||
\(93\) | −1.02275 | − | 0.835047i | −0.106054 | − | 0.0865904i | ||||
\(94\) | −4.35672 | + | 9.18160i | −0.449362 | + | 0.947010i | ||||
\(95\) | 8.33367 | − | 2.78219i | 0.855017 | − | 0.285447i | ||||
\(96\) | −6.42959 | + | 4.43803i | −0.656217 | + | 0.452954i | ||||
\(97\) | 5.09358 | − | 1.03986i | 0.517174 | − | 0.105582i | 0.0656535 | − | 0.997842i | \(-0.479087\pi\) |
0.451521 | + | 0.892261i | \(0.350882\pi\) | |||||||
\(98\) | 12.2524 | + | 0.493754i | 1.23768 | + | 0.0498766i | ||||
\(99\) | 1.23894i | 0.124518i | ||||||||
\(100\) | −0.349314 | + | 8.66813i | −0.0349314 | + | 0.866813i | ||||
\(101\) | −5.83353 | + | 4.38361i | −0.580458 | + | 0.436186i | −0.849985 | − | 0.526807i | \(-0.823389\pi\) |
0.269527 | + | 0.962993i | \(0.413133\pi\) | |||||||
\(102\) | −1.27272 | − | 7.83134i | −0.126018 | − | 0.775418i | ||||
\(103\) | −0.0751466 | + | 0.0394400i | −0.00740441 | + | 0.00388613i | −0.468421 | − | 0.883505i | \(-0.655177\pi\) |
0.461017 | + | 0.887391i | \(0.347485\pi\) | |||||||
\(104\) | 0.310861 | − | 0.977569i | 0.0304824 | − | 0.0958585i | ||||
\(105\) | −2.39279 | − | 1.25583i | −0.233513 | − | 0.122557i | ||||
\(106\) | 5.98170 | − | 17.9174i | 0.580994 | − | 1.74029i | ||||
\(107\) | 3.12206 | − | 15.2929i | 0.301821 | − | 1.47842i | −0.492177 | − | 0.870495i | \(-0.663799\pi\) |
0.793997 | − | 0.607921i | \(-0.207996\pi\) | |||||||
\(108\) | −0.516121 | + | 1.78185i | −0.0496637 | + | 0.171459i | ||||
\(109\) | 0.0803616 | − | 0.00975766i | 0.00769724 | − | 0.000934615i | −0.116687 | − | 0.993169i | \(-0.537227\pi\) |
0.124384 | + | 0.992234i | \(0.460304\pi\) | |||||||
\(110\) | −2.39623 | − | 7.17757i | −0.228471 | − | 0.684355i | ||||
\(111\) | −1.14036 | + | 7.01691i | −0.108238 | + | 0.666015i | ||||
\(112\) | 1.72339 | + | 3.28364i | 0.162845 | + | 0.310275i | ||||
\(113\) | −7.77287 | + | 4.91526i | −0.731210 | + | 0.462389i | −0.847479 | − | 0.530829i | \(-0.821881\pi\) |
0.116269 | + | 0.993218i | \(0.462906\pi\) | |||||||
\(114\) | −5.10178 | + | 2.17366i | −0.477825 | + | 0.203582i | ||||
\(115\) | 7.25588 | + | 1.48130i | 0.676614 | + | 0.138132i | ||||
\(116\) | 4.58264 | + | 1.12952i | 0.425487 | + | 0.104873i | ||||
\(117\) | −1.32673 | − | 3.35258i | −0.122656 | − | 0.309946i | ||||
\(118\) | −28.7292 | + | 7.08110i | −2.64473 | + | 0.651868i | ||||
\(119\) | −3.50758 | + | 0.141351i | −0.321540 | + | 0.0129576i | ||||
\(120\) | 0.0356359 | + | 0.884296i | 0.00325310 | + | 0.0807248i | ||||
\(121\) | −5.98612 | − | 7.33166i | −0.544193 | − | 0.666515i | ||||
\(122\) | −26.3577 | − | 9.99615i | −2.38631 | − | 0.905009i | ||||
\(123\) | 5.11647 | − | 2.42780i | 0.461337 | − | 0.218907i | ||||
\(124\) | −2.35267 | − | 0.681458i | −0.211276 | − | 0.0611967i | ||||
\(125\) | −0.828450 | − | 0.571838i | −0.0740988 | − | 0.0511467i | ||||
\(126\) | 1.56920 | + | 0.668572i | 0.139795 | + | 0.0595611i | ||||
\(127\) | −3.81521 | + | 0.620032i | −0.338545 | + | 0.0550190i | −0.327307 | − | 0.944918i | \(-0.606141\pi\) |
−0.0112378 | + | 0.999937i | \(0.503577\pi\) | |||||||
\(128\) | 1.21328 | − | 1.91865i | 0.107240 | − | 0.169586i | ||||
\(129\) | 1.72118 | + | 2.49355i | 0.151541 | + | 0.219545i | ||||
\(130\) | 14.1704 | + | 16.8566i | 1.24283 | + | 1.47842i | ||||
\(131\) | −4.91196 | + | 7.11620i | −0.429160 | + | 0.621746i | −0.976591 | − | 0.215105i | \(-0.930991\pi\) |
0.547431 | + | 0.836851i | \(0.315606\pi\) | |||||||
\(132\) | 0.900876 | + | 2.11443i | 0.0784112 | + | 0.184038i | ||||
\(133\) | 0.682640 | + | 2.35675i | 0.0591924 | + | 0.204356i | ||||
\(134\) | 0.570142 | − | 0.0460266i | 0.0492528 | − | 0.00397609i | ||||
\(135\) | 2.06277 | + | 2.32838i | 0.177535 | + | 0.200395i | ||||
\(136\) | 0.614458 | + | 0.971687i | 0.0526893 | + | 0.0833215i | ||||
\(137\) | −0.259715 | + | 0.609575i | −0.0221890 | + | 0.0520795i | −0.930705 | − | 0.365770i | \(-0.880806\pi\) |
0.908516 | + | 0.417849i | \(0.137216\pi\) | |||||||
\(138\) | −4.64023 | − | 0.563426i | −0.395003 | − | 0.0479620i | ||||
\(139\) | 1.69008 | + | 8.27857i | 0.143351 | + | 0.702179i | 0.986403 | + | 0.164347i | \(0.0525515\pi\) |
−0.843052 | + | 0.537832i | \(0.819243\pi\) | |||||||
\(140\) | −4.99683 | − | 0.403386i | −0.422309 | − | 0.0340923i | ||||
\(141\) | −3.10946 | − | 4.13793i | −0.261863 | − | 0.348477i | ||||
\(142\) | 1.78844 | − | 14.7291i | 0.150082 | − | 1.23604i | ||||
\(143\) | −3.90019 | − | 2.17785i | −0.326150 | − | 0.182121i | ||||
\(144\) | −0.514548 | − | 4.23768i | −0.0428790 | − | 0.353140i | ||||
\(145\) | 5.70781 | − | 5.48243i | 0.474008 | − | 0.455291i | ||||
\(146\) | 1.73659 | + | 3.00786i | 0.143721 | + | 0.248932i | ||||
\(147\) | −3.12266 | + | 5.40861i | −0.257553 | + | 0.446094i | ||||
\(148\) | 3.15605 | + | 12.8046i | 0.259426 | + | 1.05253i | ||||
\(149\) | 11.0285 | − | 9.00451i | 0.903492 | − | 0.737679i | −0.0620095 | − | 0.998076i | \(-0.519751\pi\) |
0.965502 | + | 0.260397i | \(0.0838535\pi\) | |||||||
\(150\) | −7.95169 | − | 4.59091i | −0.649253 | − | 0.374846i | ||||
\(151\) | −12.8085 | + | 4.85763i | −1.04234 | + | 0.395308i | −0.815581 | − | 0.578642i | \(-0.803583\pi\) |
−0.226761 | + | 0.973951i | \(0.572814\pi\) | |||||||
\(152\) | 0.556646 | − | 0.579530i | 0.0451500 | − | 0.0470061i | ||||
\(153\) | 3.83295 | + | 1.27963i | 0.309876 | + | 0.103452i | ||||
\(154\) | 2.02980 | − | 0.587940i | 0.163566 | − | 0.0473775i | ||||
\(155\) | −3.07428 | + | 2.72357i | −0.246932 | + | 0.218762i | ||||
\(156\) | −4.70205 | − | 4.75697i | −0.376465 | − | 0.380862i | ||||
\(157\) | −0.250700 | − | 0.222101i | −0.0200080 | − | 0.0177256i | 0.653059 | − | 0.757307i | \(-0.273485\pi\) |
−0.673067 | + | 0.739581i | \(0.735024\pi\) | |||||||
\(158\) | −6.16970 | − | 2.92756i | −0.490835 | − | 0.232904i | ||||
\(159\) | 6.66443 | + | 6.93841i | 0.528524 | + | 0.550252i | ||||
\(160\) | 10.4182 | + | 21.9560i | 0.823635 | + | 1.73577i | ||||
\(161\) | −0.494940 | + | 2.00805i | −0.0390067 | + | 0.158257i | ||||
\(162\) | −1.41604 | − | 1.36012i | −0.111254 | − | 0.106861i | ||||
\(163\) | −9.75379 | + | 12.9799i | −0.763976 | + | 1.01667i | 0.235025 | + | 0.971989i | \(0.424483\pi\) |
−0.999001 | + | 0.0446784i | \(0.985774\pi\) | |||||||
\(164\) | 6.96670 | − | 7.86377i | 0.544007 | − | 0.614058i | ||||
\(165\) | 3.80404 | + | 0.618217i | 0.296144 | + | 0.0481281i | ||||
\(166\) | −22.6634 | − | 14.3315i | −1.75902 | − | 1.11234i | ||||
\(167\) | −1.82074 | + | 22.5539i | −0.140893 | + | 1.74528i | 0.411247 | + | 0.911524i | \(0.365093\pi\) |
−0.552140 | + | 0.833751i | \(0.686189\pi\) | |||||||
\(168\) | −0.247158 | −0.0190686 | ||||||||
\(169\) | 12.8862 | + | 1.71671i | 0.991242 | + | 0.132055i | ||||
\(170\) | −24.6805 | −1.89291 | ||||||||
\(171\) | 0.227270 | − | 2.81524i | 0.0173797 | − | 0.215287i | ||||
\(172\) | 4.75060 | + | 3.00410i | 0.362230 | + | 0.229060i | ||||
\(173\) | −7.50878 | − | 1.22029i | −0.570882 | − | 0.0927773i | −0.131883 | − | 0.991265i | \(-0.542102\pi\) |
−0.438998 | + | 0.898488i | \(0.644667\pi\) | |||||||
\(174\) | −3.31259 | + | 3.73914i | −0.251126 | + | 0.283463i | ||||
\(175\) | −2.44051 | + | 3.24773i | −0.184485 | + | 0.245505i | ||||
\(176\) | −3.81428 | − | 3.66367i | −0.287512 | − | 0.276159i | ||||
\(177\) | 3.60648 | − | 14.6321i | 0.271079 | − | 1.09981i | ||||
\(178\) | −5.08637 | − | 10.7193i | −0.381240 | − | 0.803446i | ||||
\(179\) | −1.11712 | − | 1.16305i | −0.0834978 | − | 0.0869304i | 0.678143 | − | 0.734930i | \(-0.262785\pi\) |
−0.761640 | + | 0.648000i | \(0.775606\pi\) | |||||||
\(180\) | 5.21348 | + | 2.47383i | 0.388590 | + | 0.184388i | ||||
\(181\) | −15.7479 | − | 13.9514i | −1.17053 | − | 1.03700i | −0.998653 | − | 0.0518791i | \(-0.983479\pi\) |
−0.171875 | − | 0.985119i | \(-0.554983\pi\) | |||||||
\(182\) | −4.86307 | + | 3.76461i | −0.360475 | + | 0.279052i | ||||
\(183\) | 10.7465 | − | 9.52060i | 0.794407 | − | 0.703783i | ||||
\(184\) | 0.650577 | − | 0.188442i | 0.0479612 | − | 0.0138921i | ||||
\(185\) | 20.9757 | + | 7.00273i | 1.54217 | + | 0.514851i | ||||
\(186\) | 1.79583 | − | 1.86966i | 0.131677 | − | 0.137090i | ||||
\(187\) | 4.68109 | − | 1.77530i | 0.342315 | − | 0.129823i | ||||
\(188\) | −8.31560 | − | 4.80101i | −0.606478 | − | 0.350150i | ||||
\(189\) | −0.672917 | + | 0.549420i | −0.0489475 | + | 0.0399644i | ||||
\(190\) | 4.12830 | + | 16.7492i | 0.299498 | + | 1.21511i | ||||
\(191\) | −0.387638 | + | 0.671409i | −0.0280485 | + | 0.0485815i | −0.879709 | − | 0.475513i | \(-0.842263\pi\) |
0.851660 | + | 0.524094i | \(0.175596\pi\) | |||||||
\(192\) | −3.40092 | − | 5.89056i | −0.245440 | − | 0.425114i | ||||
\(193\) | 16.1621 | − | 15.5239i | 1.16337 | − | 1.11744i | 0.172173 | − | 0.985067i | \(-0.444921\pi\) |
0.991201 | − | 0.132368i | \(-0.0422582\pi\) | |||||||
\(194\) | 1.23034 | + | 10.1328i | 0.0883335 | + | 0.727492i | ||||
\(195\) | −10.9558 | + | 2.40071i | −0.784562 | + | 0.171918i | ||||
\(196\) | −1.39650 | + | 11.5012i | −0.0997499 | + | 0.821515i | ||||
\(197\) | 2.33395 | + | 3.10593i | 0.166287 | + | 0.221288i | 0.874893 | − | 0.484317i | \(-0.160932\pi\) |
−0.708605 | + | 0.705605i | \(0.750675\pi\) | |||||||
\(198\) | −2.42469 | − | 0.195741i | −0.172315 | − | 0.0139107i | ||||
\(199\) | −0.684620 | − | 3.35349i | −0.0485314 | − | 0.237722i | 0.948289 | − | 0.317410i | \(-0.102813\pi\) |
−0.996820 | + | 0.0796871i | \(0.974608\pi\) | |||||||
\(200\) | 1.32077 | + | 0.160370i | 0.0933923 | + | 0.0113399i | ||||
\(201\) | −0.114189 | + | 0.268012i | −0.00805428 | + | 0.0189041i | ||||
\(202\) | −7.65741 | − | 12.1092i | −0.538773 | − | 0.852002i | ||||
\(203\) | 1.46565 | + | 1.65438i | 0.102869 | + | 0.116115i | ||||
\(204\) | 7.47197 | − | 0.603200i | 0.523143 | − | 0.0422324i | ||||
\(205\) | −4.90125 | − | 16.9211i | −0.342318 | − | 1.18182i | ||||
\(206\) | −0.0653144 | − | 0.153298i | −0.00455067 | − | 0.0106808i | ||||
\(207\) | 1.35238 | − | 1.95926i | 0.0939967 | − | 0.136178i | ||||
\(208\) | 14.2448 | + | 5.82935i | 0.987698 | + | 0.404193i | ||||
\(209\) | −1.98780 | − | 2.87982i | −0.137499 | − | 0.199202i | ||||
\(210\) | 2.83580 | − | 4.48446i | 0.195689 | − | 0.309457i | ||||
\(211\) | 17.3505 | − | 2.81974i | 1.19446 | − | 0.194119i | 0.469514 | − | 0.882925i | \(-0.344429\pi\) |
0.724945 | + | 0.688806i | \(0.241865\pi\) | |||||||
\(212\) | 16.4190 | + | 6.99550i | 1.12766 | + | 0.480453i | ||||
\(213\) | 6.21910 | + | 4.29274i | 0.426126 | + | 0.294134i | ||||
\(214\) | 29.4360 | + | 8.52624i | 2.01220 | + | 0.582842i | ||||
\(215\) | 8.51508 | − | 4.04045i | 0.580723 | − | 0.275557i | ||||
\(216\) | 0.266019 | + | 0.100888i | 0.0181003 | + | 0.00686453i | ||||
\(217\) | −0.725425 | − | 0.888484i | −0.0492451 | − | 0.0603142i | ||||
\(218\) | 0.00640003 | + | 0.158815i | 0.000433465 | + | 0.0107563i | ||||
\(219\) | −1.76749 | + | 0.0712273i | −0.119436 | + | 0.00481310i | ||||
\(220\) | 6.94170 | − | 1.71098i | 0.468009 | − | 0.115354i | ||||
\(221\) | −10.7660 | + | 9.81681i | −0.724199 | + | 0.660350i | ||||
\(222\) | −13.5524 | − | 3.34037i | −0.909580 | − | 0.224191i | ||||
\(223\) | 7.97391 | + | 1.62788i | 0.533972 | + | 0.109011i | 0.459442 | − | 0.888208i | \(-0.348049\pi\) |
0.0745299 | + | 0.997219i | \(0.476254\pi\) | |||||||
\(224\) | −6.24384 | + | 2.66025i | −0.417184 | + | 0.177745i | ||||
\(225\) | 3.95244 | − | 2.49937i | 0.263496 | − | 0.166625i | ||||
\(226\) | −8.39149 | − | 15.9886i | −0.558193 | − | 1.06355i | ||||
\(227\) | 4.18813 | − | 25.7706i | 0.277976 | − | 1.71045i | −0.353815 | − | 0.935315i | \(-0.615116\pi\) |
0.631791 | − | 0.775139i | \(-0.282320\pi\) | |||||||
\(228\) | −1.65919 | − | 4.96989i | −0.109883 | − | 0.329139i | ||||
\(229\) | 17.7182 | − | 2.15138i | 1.17085 | − | 0.142167i | 0.488079 | − | 0.872799i | \(-0.337698\pi\) |
0.682771 | + | 0.730632i | \(0.260775\pi\) | |||||||
\(230\) | −4.04538 | + | 13.9663i | −0.266744 | + | 0.920908i | ||||
\(231\) | −0.215286 | + | 1.05454i | −0.0141648 | + | 0.0693838i | ||||
\(232\) | 0.229220 | − | 0.686598i | 0.0150490 | − | 0.0450774i | ||||
\(233\) | −0.643154 | − | 0.337554i | −0.0421345 | − | 0.0221139i | 0.443524 | − | 0.896262i | \(-0.353728\pi\) |
−0.485659 | + | 0.874148i | \(0.661420\pi\) | |||||||
\(234\) | 6.77085 | − | 2.06684i | 0.442625 | − | 0.135113i | ||||
\(235\) | −14.2567 | + | 7.48251i | −0.930007 | + | 0.488105i | ||||
\(236\) | −4.48450 | − | 27.5942i | −0.291916 | − | 1.79623i | ||||
\(237\) | 2.78054 | − | 2.08944i | 0.180616 | − | 0.135724i | ||||
\(238\) | 0.277534 | − | 6.88693i | 0.0179898 | − | 0.446413i | ||||
\(239\) | 29.0795i | 1.88100i | 0.339800 | + | 0.940498i | \(0.389641\pi\) | ||||
−0.339800 | + | 0.940498i | \(0.610359\pi\) | |||||||
\(240\) | −13.2682 | − | 0.534689i | −0.856457 | − | 0.0345140i | ||||
\(241\) | 21.2373 | − | 4.33563i | 1.36801 | − | 0.279282i | 0.540792 | − | 0.841156i | \(-0.318125\pi\) |
0.827223 | + | 0.561874i | \(0.189919\pi\) | |||||||
\(242\) | 15.2944 | − | 10.5569i | 0.983159 | − | 0.678625i | ||||
\(243\) | 0.948536 | − | 0.316668i | 0.0608486 | − | 0.0203143i | ||||
\(244\) | 11.4178 | − | 24.0625i | 0.730951 | − | 1.54045i | ||||
\(245\) | 15.0484 | + | 12.2867i | 0.961410 | + | 0.784967i | ||||
\(246\) | 3.94302 | + | 10.3969i | 0.251398 | + | 0.662881i | ||||
\(247\) | 8.46291 | + | 5.66418i | 0.538482 | + | 0.360403i | ||||
\(248\) | −0.133207 | + | 0.351237i | −0.00845863 | + | 0.0223036i | ||||
\(249\) | 11.8272 | − | 6.82846i | 0.749521 | − | 0.432736i | ||||
\(250\) | 1.25002 | − | 1.53099i | 0.0790580 | − | 0.0968284i | ||||
\(251\) | 10.6829 | + | 8.02765i | 0.674296 | + | 0.506701i | 0.881854 | − | 0.471522i | \(-0.156295\pi\) |
−0.207558 | + | 0.978223i | \(0.566552\pi\) | |||||||
\(252\) | −0.748932 | + | 1.42697i | −0.0471783 | + | 0.0898907i | ||||
\(253\) | −0.237336 | − | 2.93994i | −0.0149212 | − | 0.184832i | ||||
\(254\) | −0.610678 | − | 7.56461i | −0.0383174 | − | 0.474646i | ||||
\(255\) | 5.84158 | − | 11.1302i | 0.365814 | − | 0.697000i | ||||
\(256\) | 14.4386 | + | 10.8499i | 0.902413 | + | 0.678119i | ||||
\(257\) | 9.83549 | − | 12.0463i | 0.613521 | − | 0.751427i | −0.370626 | − | 0.928782i | \(-0.620857\pi\) |
0.984147 | + | 0.177355i | \(0.0567541\pi\) | |||||||
\(258\) | −5.15200 | + | 2.97451i | −0.320749 | + | 0.185185i | ||||
\(259\) | −2.18994 | + | 5.77440i | −0.136076 | + | 0.358804i | ||||
\(260\) | −16.9521 | + | 12.0635i | −1.05132 | + | 0.748149i | ||||
\(261\) | −0.902195 | − | 2.37889i | −0.0558444 | − | 0.147250i | ||||
\(262\) | −13.1509 | − | 10.7374i | −0.812464 | − | 0.663357i | ||||
\(263\) | 8.34669 | − | 17.5903i | 0.514679 | − | 1.08466i | −0.465225 | − | 0.885192i | \(-0.654027\pi\) |
0.979904 | − | 0.199470i | \(-0.0639220\pi\) | |||||||
\(264\) | 0.334346 | − | 0.111621i | 0.0205776 | − | 0.00686980i | ||||
\(265\) | 24.6292 | − | 17.0003i | 1.51296 | − | 1.04432i | ||||
\(266\) | −4.72018 | + | 0.963631i | −0.289413 | + | 0.0590840i | ||||
\(267\) | 6.03799 | + | 0.243322i | 0.369519 | + | 0.0148911i | ||||
\(268\) | 0.540434i | 0.0330123i | ||||||||
\(269\) | −0.352772 | + | 8.75394i | −0.0215089 | + | 0.533737i | 0.952137 | + | 0.305672i | \(0.0988810\pi\) |
−0.973646 | + | 0.228065i | \(0.926760\pi\) | |||||||
\(270\) | −4.88272 | + | 3.66913i | −0.297153 | + | 0.223296i | ||||
\(271\) | −2.38794 | − | 14.6936i | −0.145057 | − | 0.892571i | −0.952925 | − | 0.303207i | \(-0.901943\pi\) |
0.807868 | − | 0.589364i | \(-0.200621\pi\) | |||||||
\(272\) | −15.2740 | + | 8.01641i | −0.926122 | + | 0.486066i | ||||
\(273\) | −0.546704 | − | 3.08415i | −0.0330880 | − | 0.186661i | ||||
\(274\) | −1.15195 | − | 0.604590i | −0.0695918 | − | 0.0365246i | ||||
\(275\) | 1.83470 | − | 5.49559i | 0.110636 | − | 0.331396i | ||||
\(276\) | 0.883390 | − | 4.32713i | 0.0531738 | − | 0.260463i | ||||
\(277\) | −0.156311 | + | 0.539647i | −0.00939179 | + | 0.0324242i | −0.965077 | − | 0.261966i | \(-0.915629\pi\) |
0.955685 | + | 0.294390i | \(0.0951164\pi\) | |||||||
\(278\) | −16.4688 | + | 1.99967i | −0.987732 | + | 0.119932i | ||||
\(279\) | 0.418112 | + | 1.25240i | 0.0250317 | + | 0.0749791i | ||||
\(280\) | −0.123329 | + | 0.758876i | −0.00737033 | + | 0.0453515i | ||||
\(281\) | 8.41059 | + | 16.0250i | 0.501734 | + | 0.955974i | 0.996226 | + | 0.0867921i | \(0.0276616\pi\) |
−0.494493 | + | 0.869182i | \(0.664646\pi\) | |||||||
\(282\) | 8.58951 | − | 5.43168i | 0.511498 | − | 0.323452i | ||||
\(283\) | −1.77210 | + | 0.755023i | −0.105341 | + | 0.0448815i | −0.443994 | − | 0.896030i | \(-0.646439\pi\) |
0.338653 | + | 0.940911i | \(0.390029\pi\) | |||||||
\(284\) | 13.7353 | + | 2.80407i | 0.815037 | + | 0.166391i | ||||
\(285\) | −8.53052 | − | 2.10258i | −0.505305 | − | 0.124546i | ||||
\(286\) | 4.87841 | − | 7.28888i | 0.288466 | − | 0.431001i | ||||
\(287\) | 4.77684 | − | 1.17739i | 0.281968 | − | 0.0694989i | ||||
\(288\) | 7.80620 | − | 0.314579i | 0.459985 | − | 0.0185368i | ||||
\(289\) | 0.0270209 | + | 0.670518i | 0.00158947 | + | 0.0394422i | ||||
\(290\) | 9.82773 | + | 12.0368i | 0.577104 | + | 0.706824i | ||||
\(291\) | −4.86081 | − | 1.84346i | −0.284946 | − | 0.108066i | ||||
\(292\) | −2.96470 | + | 1.40677i | −0.173496 | + | 0.0823247i | ||||
\(293\) | −25.9002 | − | 7.50207i | −1.51310 | − | 0.438276i | −0.585136 | − | 0.810935i | \(-0.698959\pi\) |
−0.927968 | + | 0.372660i | \(0.878446\pi\) | |||||||
\(294\) | −10.0917 | − | 6.96579i | −0.588559 | − | 0.406253i | ||||
\(295\) | −43.1268 | − | 18.3746i | −2.51094 | − | 1.06981i | ||||
\(296\) | 1.99636 | − | 0.324440i | 0.116036 | − | 0.0188577i | ||||
\(297\) | 0.662169 | − | 1.04714i | 0.0384230 | − | 0.0607610i | ||||
\(298\) | 15.8801 | + | 23.0063i | 0.919909 | + | 1.33272i | ||||
\(299\) | 3.79051 | + | 7.70136i | 0.219211 | + | 0.445381i | ||||
\(300\) | 4.92806 | − | 7.13952i | 0.284521 | − | 0.412200i | ||||
\(301\) | 1.03171 | + | 2.42151i | 0.0594668 | + | 0.139574i | ||||
\(302\) | −7.48310 | − | 25.8347i | −0.430604 | − | 1.48662i | ||||
\(303\) | 7.27334 | − | 0.587164i | 0.417842 | − | 0.0337317i | ||||
\(304\) | 7.99514 | + | 9.02465i | 0.458553 | + | 0.517599i | ||||
\(305\) | −23.8697 | − | 37.7469i | −1.36678 | − | 2.16138i | ||||
\(306\) | −3.10990 | + | 7.29919i | −0.177781 | + | 0.417267i | ||||
\(307\) | −28.5294 | − | 3.46410i | −1.62826 | − | 0.197707i | −0.745158 | − | 0.666888i | \(-0.767626\pi\) |
−0.883102 | + | 0.469181i | \(0.844549\pi\) | |||||||
\(308\) | 0.399377 | + | 1.95628i | 0.0227566 | + | 0.111469i | ||||
\(309\) | 0.0845924 | + | 0.00682901i | 0.00481230 | + | 0.000388489i | ||||
\(310\) | −4.84452 | − | 6.44688i | −0.275150 | − | 0.366158i | ||||
\(311\) | −3.61612 | + | 29.7814i | −0.205051 | + | 1.68875i | 0.419492 | + | 0.907759i | \(0.362208\pi\) |
−0.624543 | + | 0.780990i | \(0.714715\pi\) | |||||||
\(312\) | −0.785214 | + | 0.660087i | −0.0444540 | + | 0.0373701i | ||||
\(313\) | 1.19102 | + | 9.80891i | 0.0673203 | + | 0.554432i | 0.986877 | + | 0.161475i | \(0.0516250\pi\) |
−0.919557 | + | 0.392958i | \(0.871452\pi\) | |||||||
\(314\) | 0.474276 | − | 0.455549i | 0.0267650 | − | 0.0257081i | ||||
\(315\) | 1.35116 | + | 2.34029i | 0.0761295 | + | 0.131860i | ||||
\(316\) | 3.22611 | − | 5.58778i | 0.181483 | − | 0.314337i | ||||
\(317\) | 2.09453 | + | 8.49784i | 0.117641 | + | 0.477286i | 0.999978 | + | 0.00666871i | \(0.00212273\pi\) |
−0.882337 | + | 0.470618i | \(0.844031\pi\) | |||||||
\(318\) | −14.6319 | + | 11.9466i | −0.820516 | + | 0.669931i | ||||
\(319\) | −2.72983 | − | 1.57607i | −0.152841 | − | 0.0882428i | ||||
\(320\) | −19.7834 | + | 7.50287i | −1.10593 | + | 0.419423i | ||||
\(321\) | −10.8122 | + | 11.2567i | −0.603481 | + | 0.628290i | ||||
\(322\) | −3.85171 | − | 1.28589i | −0.214647 | − | 0.0716598i | ||||
\(323\) | −10.9625 | + | 3.17533i | −0.609971 | + | 0.176680i | ||||
\(324\) | 1.38856 | − | 1.23016i | 0.0771423 | − | 0.0683421i | ||||
\(325\) | 0.920315 | + | 16.8358i | 0.0510499 | + | 0.933884i | ||||
\(326\) | −23.8617 | − | 21.1396i | −1.32158 | − | 1.17081i | ||||
\(327\) | −0.0731360 | − | 0.0347034i | −0.00404443 | − | 0.00191910i | ||||
\(328\) | −1.11614 | − | 1.16203i | −0.0616287 | − | 0.0641622i | ||||
\(329\) | −1.92763 | − | 4.06239i | −0.106274 | − | 0.223967i | ||||
\(330\) | −1.81090 | + | 7.34711i | −0.0996868 | + | 0.404445i | ||||
\(331\) | −14.5157 | − | 13.9425i | −0.797855 | − | 0.766350i | 0.178172 | − | 0.983999i | \(-0.442982\pi\) |
−0.976027 | + | 0.217649i | \(0.930161\pi\) | |||||||
\(332\) | 15.2198 | − | 20.2538i | 0.835293 | − | 1.11157i | ||||
\(333\) | 4.71412 | − | 5.32114i | 0.258332 | − | 0.291596i | ||||
\(334\) | −43.8520 | − | 7.12665i | −2.39948 | − | 0.389953i | ||||
\(335\) | 0.765926 | + | 0.484342i | 0.0418470 | + | 0.0264625i | ||||
\(336\) | 0.298403 | − | 3.69639i | 0.0162792 | − | 0.201654i | ||||
\(337\) | 27.7162 | 1.50980 | 0.754898 | − | 0.655842i | \(-0.227686\pi\) | ||||
0.754898 | + | 0.655842i | \(0.227686\pi\) | |||||||
\(338\) | −5.39563 | + | 24.9479i | −0.293484 | + | 1.35699i | ||||
\(339\) | 9.19659 | 0.499490 | ||||||||
\(340\) | 1.87637 | − | 23.2430i | 0.101760 | − | 1.26053i | ||||
\(341\) | 1.38258 | + | 0.874293i | 0.0748711 | + | 0.0473456i | ||||
\(342\) | 5.47372 | + | 0.889566i | 0.295985 | + | 0.0481022i | ||||
\(343\) | −7.63023 | + | 8.61275i | −0.411994 | + | 0.465045i | ||||
\(344\) | 0.517856 | − | 0.689141i | 0.0279209 | − | 0.0371560i | ||||
\(345\) | −5.34089 | − | 5.13000i | −0.287544 | − | 0.276190i | ||||
\(346\) | 3.57453 | − | 14.5024i | 0.192168 | − | 0.779655i | ||||
\(347\) | −3.49776 | − | 7.37136i | −0.187769 | − | 0.395715i | 0.787634 | − | 0.616144i | \(-0.211306\pi\) |
−0.975403 | + | 0.220428i | \(0.929255\pi\) | |||||||
\(348\) | −3.26951 | − | 3.40392i | −0.175264 | − | 0.182469i | ||||
\(349\) | 19.5723 | + | 9.28719i | 1.04768 | + | 0.497132i | 0.873116 | − | 0.487513i | \(-0.162096\pi\) |
0.174568 | + | 0.984645i | \(0.444147\pi\) | |||||||
\(350\) | −5.97047 | − | 5.28937i | −0.319135 | − | 0.282729i | ||||
\(351\) | −0.670497 | + | 3.54266i | −0.0357885 | + | 0.189093i | ||||
\(352\) | 7.24501 | − | 6.41852i | 0.386160 | − | 0.342108i | ||||
\(353\) | −15.2591 | + | 4.41984i | −0.812157 | + | 0.235244i | −0.658210 | − | 0.752835i | \(-0.728686\pi\) |
−0.153948 | + | 0.988079i | \(0.549199\pi\) | |||||||
\(354\) | 28.0662 | + | 9.36988i | 1.49170 | + | 0.498003i | ||||
\(355\) | 16.2837 | − | 16.9532i | 0.864250 | − | 0.899780i | ||||
\(356\) | 10.4817 | − | 3.97517i | 0.555527 | − | 0.210684i | ||||
\(357\) | 3.04012 | + | 1.75522i | 0.160900 | + | 0.0928959i | ||||
\(358\) | 2.45267 | − | 2.00254i | 0.129628 | − | 0.105838i | ||||
\(359\) | 2.11193 | + | 8.56842i | 0.111463 | + | 0.452224i | 0.999978 | − | 0.00662385i | \(-0.00210845\pi\) |
−0.888515 | + | 0.458848i | \(0.848262\pi\) | |||||||
\(360\) | 0.442507 | − | 0.766444i | 0.0233221 | − | 0.0403951i | ||||
\(361\) | −5.51139 | − | 9.54601i | −0.290073 | − | 0.502422i | ||||
\(362\) | 29.7919 | − | 28.6155i | 1.56583 | − | 1.50400i | ||||
\(363\) | 1.14088 | + | 9.39603i | 0.0598809 | + | 0.493163i | ||||
\(364\) | −3.17563 | − | 4.86604i | −0.166448 | − | 0.255050i | ||||
\(365\) | −0.663262 | + | 5.46245i | −0.0347167 | + | 0.285918i | ||||
\(366\) | 16.9346 | + | 22.5359i | 0.885188 | + | 1.17797i | ||||
\(367\) | −7.01270 | − | 0.566124i | −0.366060 | − | 0.0295514i | −0.103932 | − | 0.994584i | \(-0.533142\pi\) |
−0.262128 | + | 0.965033i | \(0.584424\pi\) | |||||||
\(368\) | 2.03279 | + | 9.95726i | 0.105966 | + | 0.519058i | ||||
\(369\) | −5.62196 | − | 0.682630i | −0.292668 | − | 0.0355363i | ||||
\(370\) | −17.0188 | + | 39.9447i | −0.884767 | + | 2.07662i | ||||
\(371\) | 4.46688 | + | 7.06380i | 0.231909 | + | 0.366734i | ||||
\(372\) | 1.62423 | + | 1.83338i | 0.0842126 | + | 0.0950564i | ||||
\(373\) | −4.76315 | + | 0.384521i | −0.246627 | + | 0.0199098i | −0.203162 | − | 0.979145i | \(-0.565122\pi\) |
−0.0434649 | + | 0.999055i | \(0.513840\pi\) | |||||||
\(374\) | 2.73483 | + | 9.44172i | 0.141415 | + | 0.488220i | ||||
\(375\) | 0.394570 | + | 0.926090i | 0.0203755 | + | 0.0478231i | ||||
\(376\) | −0.836541 | + | 1.21194i | −0.0431413 | + | 0.0625010i | ||||
\(377\) | 9.07470 | + | 1.34158i | 0.467371 | + | 0.0690950i | ||||
\(378\) | −0.968940 | − | 1.40375i | −0.0498369 | − | 0.0722012i | ||||
\(379\) | −17.9673 | + | 28.4130i | −0.922917 | + | 1.45948i | −0.0350445 | + | 0.999386i | \(0.511157\pi\) |
−0.887872 | + | 0.460090i | \(0.847817\pi\) | |||||||
\(380\) | −16.0875 | + | 2.61447i | −0.825271 | + | 0.134120i | ||||
\(381\) | 3.55596 | + | 1.51505i | 0.182178 | + | 0.0776186i | ||||
\(382\) | −1.25275 | − | 0.864714i | −0.0640965 | − | 0.0442426i | ||||
\(383\) | −8.92800 | − | 2.58603i | −0.456199 | − | 0.132140i | 0.0421589 | − | 0.999111i | \(-0.486576\pi\) |
−0.498358 | + | 0.866971i | \(0.666064\pi\) | |||||||
\(384\) | −2.05091 | + | 0.973168i | −0.104660 | + | 0.0496618i | ||||
\(385\) | 3.13045 | + | 1.18722i | 0.159542 | + | 0.0605064i | ||||
\(386\) | 27.8280 | + | 34.0831i | 1.41641 | + | 1.73478i | ||||
\(387\) | −0.122002 | − | 3.02744i | −0.00620169 | − | 0.153893i | ||||
\(388\) | −9.63616 | + | 0.388324i | −0.489202 | + | 0.0197142i | ||||
\(389\) | −30.3797 | + | 7.48793i | −1.54031 | + | 0.379653i | −0.915889 | − | 0.401432i | \(-0.868513\pi\) |
−0.624425 | + | 0.781085i | \(0.714666\pi\) | |||||||
\(390\) | −2.96744 | − | 21.8206i | −0.150262 | − | 1.10493i | ||||
\(391\) | −9.34054 | − | 2.30224i | −0.472372 | − | 0.116429i | ||||
\(392\) | 1.74093 | + | 0.355413i | 0.0879302 | + | 0.0179511i | ||||
\(393\) | 7.95491 | − | 3.38927i | 0.401272 | − | 0.170966i | ||||
\(394\) | −6.44727 | + | 4.07701i | −0.324809 | + | 0.205397i | ||||
\(395\) | −5.02798 | − | 9.58001i | −0.252985 | − | 0.482023i | ||||
\(396\) | 0.368681 | − | 2.26859i | 0.0185269 | − | 0.114001i | ||||
\(397\) | −3.02322 | − | 9.05564i | −0.151731 | − | 0.454489i | 0.845048 | − | 0.534691i | \(-0.179572\pi\) |
−0.996779 | + | 0.0802013i | \(0.974444\pi\) | |||||||
\(398\) | 6.67119 | − | 0.810029i | 0.334396 | − | 0.0406031i | ||||
\(399\) | 0.682640 | − | 2.35675i | 0.0341747 | − | 0.117985i | ||||
\(400\) | −3.99304 | + | 19.5592i | −0.199652 | + | 0.977960i | ||||
\(401\) | −8.45614 | + | 25.3292i | −0.422279 | + | 1.26488i | 0.495783 | + | 0.868446i | \(0.334881\pi\) |
−0.918063 | + | 0.396435i | \(0.870247\pi\) | |||||||
\(402\) | −0.506478 | − | 0.265820i | −0.0252608 | − | 0.0132579i | ||||
\(403\) | −4.67754 | − | 0.885289i | −0.233005 | − | 0.0440994i | ||||
\(404\) | 11.9861 | − | 6.29079i | 0.596331 | − | 0.312979i | ||||
\(405\) | −0.498990 | − | 3.07041i | −0.0247950 | − | 0.152570i | ||||
\(406\) | −3.46930 | + | 2.60701i | −0.172179 | + | 0.129384i | ||||
\(407\) | 0.354645 | − | 8.80041i | 0.0175791 | − | 0.436220i | ||||
\(408\) | − | 1.14967i | − | 0.0569170i | ||||||
\(409\) | −32.4087 | − | 1.30602i | −1.60251 | − | 0.0645788i | −0.777196 | − | 0.629259i | \(-0.783359\pi\) |
−0.825310 | + | 0.564680i | \(0.809000\pi\) | |||||||
\(410\) | 33.8902 | − | 6.91873i | 1.67372 | − | 0.341692i | ||||
\(411\) | 0.545306 | − | 0.376397i | 0.0268979 | − | 0.0185663i | ||||
\(412\) | 0.149335 | − | 0.0498555i | 0.00735723 | − | 0.00245620i | ||||
\(413\) | 5.61228 | − | 11.8276i | 0.276162 | − | 0.582000i | ||||
\(414\) | 3.62074 | + | 2.95625i | 0.177950 | + | 0.145292i | ||||
\(415\) | −15.0645 | − | 39.7218i | −0.739487 | − | 1.94987i | ||||
\(416\) | −12.7317 | + | 25.1270i | −0.624224 | + | 1.23195i | ||||
\(417\) | 2.99617 | − | 7.90025i | 0.146723 | − | 0.386877i | ||||
\(418\) | 5.95008 | − | 3.43528i | 0.291028 | − | 0.168025i | ||||
\(419\) | 3.34701 | − | 4.09934i | 0.163512 | − | 0.200266i | −0.686350 | − | 0.727272i | \(-0.740788\pi\) |
0.849862 | + | 0.527006i | \(0.176685\pi\) | |||||||
\(420\) | 4.00767 | + | 3.01157i | 0.195554 | + | 0.146950i | ||||
\(421\) | 9.90215 | − | 18.8670i | 0.482601 | − | 0.919520i | −0.515438 | − | 0.856927i | \(-0.672371\pi\) |
0.998039 | − | 0.0625930i | \(-0.0199370\pi\) | |||||||
\(422\) | 2.77720 | + | 34.4018i | 0.135192 | + | 1.67465i | ||||
\(423\) | 0.416497 | + | 5.15924i | 0.0202508 | + | 0.250851i | ||||
\(424\) | 1.27201 | − | 2.42361i | 0.0617742 | − | 0.117701i | ||||
\(425\) | −15.1070 | − | 11.3522i | −0.732796 | − | 0.550660i | ||||
\(426\) | −9.38377 | + | 11.4930i | −0.454645 | + | 0.556839i | ||||
\(427\) | 10.8015 | − | 6.23623i | 0.522719 | − | 0.301792i | ||||
\(428\) | −10.2676 | + | 27.0733i | −0.496301 | + | 1.30864i | ||||
\(429\) | 2.13242 | + | 3.92522i | 0.102954 | + | 0.189511i | ||||
\(430\) | 6.56216 | + | 17.3030i | 0.316455 | + | 0.834424i | ||||
\(431\) | −4.41208 | − | 3.60235i | −0.212522 | − | 0.173519i | 0.520205 | − | 0.854041i | \(-0.325855\pi\) |
−0.732727 | + | 0.680522i | \(0.761753\pi\) | |||||||
\(432\) | −1.83001 | + | 3.85666i | −0.0880462 | + | 0.185553i | ||||
\(433\) | 12.5908 | − | 4.20341i | 0.605073 | − | 0.202003i | 0.00240764 | − | 0.999997i | \(-0.499234\pi\) |
0.602665 | + | 0.797994i | \(0.294105\pi\) | |||||||
\(434\) | 1.85344 | − | 1.27934i | 0.0889680 | − | 0.0614102i | ||||
\(435\) | −7.75435 | + | 1.58306i | −0.371793 | + | 0.0759020i | ||||
\(436\) | −0.150052 | − | 0.00604688i | −0.00718617 | − | 0.000289593i | ||||
\(437\) | 6.72397i | 0.321651i | ||||||||
\(438\) | 0.139851 | − | 3.47036i | 0.00668232 | − | 0.165820i | ||||
\(439\) | −3.61740 | + | 2.71830i | −0.172649 | + | 0.129737i | −0.683554 | − | 0.729900i | \(-0.739567\pi\) |
0.510905 | + | 0.859637i | \(0.329310\pi\) | |||||||
\(440\) | −0.175887 | − | 1.08228i | −0.00838508 | − | 0.0515955i | ||||
\(441\) | 5.52996 | − | 2.90234i | 0.263331 | − | 0.138207i | ||||
\(442\) | −17.5113 | − | 22.6208i | −0.832927 | − | 1.07596i | ||||
\(443\) | 15.5972 | + | 8.18605i | 0.741046 | + | 0.388931i | 0.792602 | − | 0.609739i | \(-0.208726\pi\) |
−0.0515559 | + | 0.998670i | \(0.516418\pi\) | |||||||
\(444\) | 4.17616 | − | 12.5091i | 0.198192 | − | 0.593657i | ||||
\(445\) | 3.75999 | − | 18.4177i | 0.178241 | − | 0.873081i | ||||
\(446\) | −4.44570 | + | 15.3483i | −0.210510 | + | 0.726765i | ||||
\(447\) | −14.1338 | + | 1.71615i | −0.668506 | + | 0.0811713i | ||||
\(448\) | −1.87116 | − | 5.60482i | −0.0884041 | − | 0.264803i | ||||
\(449\) | 5.90031 | − | 36.3061i | 0.278453 | − | 1.71339i | −0.351022 | − | 0.936367i | \(-0.614166\pi\) |
0.629474 | − | 0.777021i | \(-0.283270\pi\) | |||||||
\(450\) | 4.26700 | + | 8.13010i | 0.201148 | + | 0.383256i | ||||
\(451\) | −5.93020 | + | 3.75003i | −0.279242 | + | 0.176582i | ||||
\(452\) | 15.6954 | − | 6.68718i | 0.738248 | − | 0.314538i | ||||
\(453\) | 13.4219 | + | 2.74009i | 0.630614 | + | 0.128741i | ||||
\(454\) | 49.7732 | + | 12.2680i | 2.33597 | + | 0.575766i | ||||
\(455\) | −9.74239 | + | 0.139646i | −0.456730 | + | 0.00654669i | ||||
\(456\) | −0.780211 | + | 0.192305i | −0.0365367 | + | 0.00900549i | ||||
\(457\) | −36.3720 | + | 1.46574i | −1.70141 | + | 0.0685645i | −0.871825 | − | 0.489817i | \(-0.837064\pi\) |
−0.829584 | + | 0.558381i | \(0.811423\pi\) | |||||||
\(458\) | 1.41108 | + | 35.0157i | 0.0659356 | + | 1.63618i | ||||
\(459\) | −2.55565 | − | 3.13011i | −0.119288 | − | 0.146101i | ||||
\(460\) | −12.8453 | − | 4.87156i | −0.598913 | − | 0.227138i | ||||
\(461\) | 15.3489 | − | 7.28312i | 0.714868 | − | 0.339209i | −0.0362814 | − | 0.999342i | \(-0.511551\pi\) |
0.751149 | + | 0.660133i | \(0.229500\pi\) | |||||||
\(462\) | −2.02980 | − | 0.587940i | −0.0944350 | − | 0.0273534i | ||||
\(463\) | −17.8161 | − | 12.2976i | −0.827984 | − | 0.571516i | 0.0769665 | − | 0.997034i | \(-0.475477\pi\) |
−0.904950 | + | 0.425518i | \(0.860092\pi\) | |||||||
\(464\) | 9.99172 | + | 4.25707i | 0.463854 | + | 0.197630i | ||||
\(465\) | 4.05400 | − | 0.658840i | 0.188000 | − | 0.0305530i | ||||
\(466\) | 0.762230 | − | 1.20537i | 0.0353096 | − | 0.0558377i | ||||
\(467\) | 7.45945 | + | 10.8069i | 0.345182 | + | 0.500083i | 0.956671 | − | 0.291170i | \(-0.0940445\pi\) |
−0.611489 | + | 0.791253i | \(0.709429\pi\) | |||||||
\(468\) | 1.43169 | + | 6.53363i | 0.0661799 | + | 0.302017i | ||||
\(469\) | −0.143766 | + | 0.208281i | −0.00663848 | + | 0.00961750i | ||||
\(470\) | −12.3914 | − | 29.0836i | −0.571572 | − | 1.34153i | ||||
\(471\) | 0.0931839 | + | 0.321708i | 0.00429369 | + | 0.0148235i | ||||
\(472\) | −4.27361 | + | 0.345001i | −0.196709 | + | 0.0158800i | ||||
\(473\) | −2.48926 | − | 2.80979i | −0.114456 | − | 0.129194i | ||||
\(474\) | 3.64989 | + | 5.77184i | 0.167645 | + | 0.265109i | ||||
\(475\) | −5.17709 | + | 12.1511i | −0.237541 | + | 0.557530i | ||||
\(476\) | 6.46471 | + | 0.784958i | 0.296310 | + | 0.0359785i | ||||
\(477\) | −1.92437 | − | 9.42619i | −0.0881108 | − | 0.431595i | ||||
\(478\) | −56.9107 | − | 4.59431i | −2.60303 | − | 0.210139i | ||||
\(479\) | −19.9052 | − | 26.4890i | −0.909490 | − | 1.21031i | −0.977139 | − | 0.212602i | \(-0.931806\pi\) |
0.0676491 | − | 0.997709i | \(-0.478450\pi\) | |||||||
\(480\) | 2.92933 | − | 24.1252i | 0.133705 | − | 1.10116i | ||||
\(481\) | 8.46437 | + | 24.1938i | 0.385942 | + | 1.10314i | ||||
\(482\) | 5.12983 | + | 42.2479i | 0.233657 | + | 1.92434i | ||||
\(483\) | 1.49155 | − | 1.43266i | 0.0678680 | − | 0.0651881i | ||||
\(484\) | 8.77928 | + | 15.2062i | 0.399058 | + | 0.691189i | ||||
\(485\) | −8.08568 | + | 14.0048i | −0.367152 | + | 0.635925i | ||||
\(486\) | 0.469882 | + | 1.90639i | 0.0213143 | + | 0.0864754i | ||||
\(487\) | 18.2770 | − | 14.9227i | 0.828209 | − | 0.676211i | −0.120378 | − | 0.992728i | \(-0.538411\pi\) |
0.948587 | + | 0.316517i | \(0.102513\pi\) | |||||||
\(488\) | −3.53748 | − | 2.04237i | −0.160134 | − | 0.0924535i | ||||
\(489\) | 15.1811 | − | 5.75745i | 0.686515 | − | 0.260361i | ||||
\(490\) | −26.4235 | + | 27.5097i | −1.19369 | + | 1.24276i | ||||
\(491\) | 7.90706 | + | 2.63976i | 0.356841 | + | 0.119131i | 0.489436 | − | 0.872039i | \(-0.337203\pi\) |
−0.132595 | + | 0.991170i | \(0.542331\pi\) | |||||||
\(492\) | −10.0911 | + | 2.92292i | −0.454942 | + | 0.131776i | ||||
\(493\) | −7.69542 | + | 6.81755i | −0.346584 | + | 0.307047i | ||||
\(494\) | −12.4223 | + | 15.6676i | −0.558905 | + | 0.704921i | ||||
\(495\) | −2.88472 | − | 2.55564i | −0.129659 | − | 0.114867i | ||||
\(496\) | −5.09212 | − | 2.41624i | −0.228643 | − | 0.108493i | ||||
\(497\) | 4.54756 | + | 4.73451i | 0.203986 | + | 0.212372i | ||||
\(498\) | 11.4952 | + | 24.2256i | 0.515112 | + | 1.08558i | ||||
\(499\) | −2.81135 | + | 11.4061i | −0.125853 | + | 0.510606i | 0.873849 | + | 0.486198i | \(0.161616\pi\) |
−0.999702 | + | 0.0244087i | \(0.992230\pi\) | |||||||
\(500\) | 1.34679 | + | 1.29361i | 0.0602301 | + | 0.0578518i | ||||
\(501\) | 13.5932 | − | 18.0892i | 0.607298 | − | 0.808167i | ||||
\(502\) | −17.3985 | + | 19.6388i | −0.776533 | + | 0.876524i | ||||
\(503\) | −3.84680 | − | 0.625167i | −0.171521 | − | 0.0278748i | 0.0740444 | − | 0.997255i | \(-0.476409\pi\) |
−0.245565 | + | 0.969380i | \(0.578973\pi\) | |||||||
\(504\) | 0.208895 | + | 0.132097i | 0.00930494 | + | 0.00588409i | ||||
\(505\) | 1.82649 | − | 22.6251i | 0.0812776 | − | 1.00680i | ||||
\(506\) | 5.79118 | 0.257449 | ||||||||
\(507\) | −9.97372 | − | 8.33816i | −0.442949 | − | 0.370310i | ||||
\(508\) | 7.17044 | 0.318137 | ||||||||
\(509\) | −0.460363 | + | 5.70262i | −0.0204052 | + | 0.252764i | 0.978510 | + | 0.206199i | \(0.0661095\pi\) |
−0.998915 | + | 0.0465650i | \(0.985173\pi\) | |||||||
\(510\) | 20.8597 | + | 13.1909i | 0.923682 | + | 0.584101i | ||||
\(511\) | −1.51680 | − | 0.246505i | −0.0670995 | − | 0.0109047i | ||||
\(512\) | −20.5045 | + | 23.1449i | −0.906182 | + | 1.02287i | ||||
\(513\) | −1.69673 | + | 2.25794i | −0.0749127 | + | 0.0996906i | ||||
\(514\) | 22.0216 | + | 21.1520i | 0.971329 | + | 0.932974i | ||||
\(515\) | 0.0631786 | − | 0.256326i | 0.00278398 | − | 0.0112951i | ||||
\(516\) | −2.40957 | − | 5.07807i | −0.106076 | − | 0.223550i | ||||
\(517\) | 4.44228 | + | 4.62490i | 0.195371 | + | 0.203403i | ||||
\(518\) | −10.9549 | − | 5.19818i | −0.481332 | − | 0.228395i | ||||
\(519\) | 5.69414 | + | 5.04456i | 0.249945 | + | 0.221432i | ||||
\(520\) | 1.63492 | + | 2.74030i | 0.0716961 | + | 0.120170i | ||||
\(521\) | 13.7637 | − | 12.1936i | 0.603000 | − | 0.534211i | −0.305448 | − | 0.952209i | \(-0.598806\pi\) |
0.908448 | + | 0.417997i | \(0.137268\pi\) | |||||||
\(522\) | 4.79821 | − | 1.38982i | 0.210012 | − | 0.0608306i | ||||
\(523\) | 32.8989 | + | 10.9833i | 1.43857 | + | 0.480265i | 0.925719 | − | 0.378212i | \(-0.123461\pi\) |
0.512851 | + | 0.858477i | \(0.328589\pi\) | |||||||
\(524\) | 11.1118 | − | 11.5686i | 0.485421 | − | 0.505377i | ||||
\(525\) | 3.79850 | − | 1.44058i | 0.165780 | − | 0.0628720i | ||||
\(526\) | 33.1067 | + | 19.1142i | 1.44352 | + | 0.833418i | ||||
\(527\) | 4.13283 | − | 3.37435i | 0.180029 | − | 0.146989i | ||||
\(528\) | 1.26569 | + | 5.13510i | 0.0550820 | + | 0.223477i | ||||
\(529\) | 8.66620 | − | 15.0103i | 0.376791 | − | 0.652621i | ||||
\(530\) | 29.3797 | + | 50.8871i | 1.27617 | + | 2.21039i | ||||
\(531\) | −10.8685 | + | 10.4393i | −0.471652 | + | 0.453028i | ||||
\(532\) | −0.548647 | − | 4.51852i | −0.0237869 | − | 0.195903i | ||||
\(533\) | 12.0314 | − | 16.4981i | 0.521139 | − | 0.714611i | ||||
\(534\) | −1.43015 | + | 11.7783i | −0.0618886 | + | 0.509699i | ||||
\(535\) | 29.1676 | + | 38.8150i | 1.26102 | + | 1.67812i | ||||
\(536\) | 0.0826149 | + | 0.00666936i | 0.00356842 | + | 0.000288073i | ||||
\(537\) | 0.322572 | + | 1.58006i | 0.0139200 | + | 0.0681847i | ||||
\(538\) | −17.0764 | − | 2.07345i | −0.736214 | − | 0.0893926i | ||||
\(539\) | 3.03286 | − | 7.11839i | 0.130635 | − | 0.306611i | ||||
\(540\) | −3.08421 | − | 4.87728i | −0.132723 | − | 0.209885i | ||||
\(541\) | 13.0874 | + | 14.7726i | 0.562672 | + | 0.635125i | 0.959143 | − | 0.282922i | \(-0.0913037\pi\) |
−0.396471 | + | 0.918047i | \(0.629765\pi\) | |||||||
\(542\) | 29.1337 | − | 2.35191i | 1.25140 | − | 0.101023i | ||||
\(543\) | 5.85339 | + | 20.2083i | 0.251193 | + | 0.867219i | ||||
\(544\) | −12.3743 | − | 29.0435i | −0.530543 | − | 1.24523i | ||||
\(545\) | −0.143048 | + | 0.207241i | −0.00612749 | + | 0.00887721i | ||||
\(546\) | 6.12228 | − | 0.582671i | 0.262009 | − | 0.0249360i | ||||
\(547\) | 12.7144 | + | 18.4199i | 0.543627 | + | 0.787580i | 0.994470 | − | 0.105024i | \(-0.0334918\pi\) |
−0.450843 | + | 0.892603i | \(0.648876\pi\) | |||||||
\(548\) | 0.656955 | − | 1.03889i | 0.0280637 | − | 0.0443792i | ||||
\(549\) | −14.1713 | + | 2.30306i | −0.604816 | + | 0.0982922i | ||||
\(550\) | 10.4654 | + | 4.45889i | 0.446246 | + | 0.190128i | ||||
\(551\) | 5.91388 | + | 4.08206i | 0.251940 | + | 0.173901i | ||||
\(552\) | −0.650577 | − | 0.188442i | −0.0276904 | − | 0.00802062i | ||||
\(553\) | 2.72978 | − | 1.29530i | 0.116082 | − | 0.0550817i | ||||
\(554\) | −1.03143 | − | 0.391171i | −0.0438214 | − | 0.0166192i | ||||
\(555\) | −13.9858 | − | 17.1294i | −0.593662 | − | 0.727105i | ||||
\(556\) | −0.631141 | − | 15.6616i | −0.0267663 | − | 0.664200i | ||||
\(557\) | −32.3897 | + | 1.30526i | −1.37240 | + | 0.0553056i | −0.715466 | − | 0.698647i | \(-0.753786\pi\) |
−0.656929 | + | 0.753953i | \(0.728145\pi\) | |||||||
\(558\) | −2.51709 | + | 0.620407i | −0.106557 | + | 0.0262639i | ||||
\(559\) | 9.74488 | + | 4.93768i | 0.412164 | + | 0.208842i | ||||
\(560\) | −11.2005 | − | 2.76068i | −0.473308 | − | 0.116660i | ||||
\(561\) | −4.90525 | − | 1.00141i | −0.207100 | − | 0.0422797i | ||||
\(562\) | −32.6910 | + | 13.9283i | −1.37899 | + | 0.587531i | ||||
\(563\) | −26.0297 | + | 16.4602i | −1.09702 | + | 0.693713i | −0.955135 | − | 0.296170i | \(-0.904291\pi\) |
−0.141885 | + | 0.989883i | \(0.545316\pi\) | |||||||
\(564\) | 4.46229 | + | 8.50218i | 0.187896 | + | 0.358006i | ||||
\(565\) | 4.58900 | − | 28.2373i | 0.193061 | − | 1.18795i | ||||
\(566\) | −1.19766 | − | 3.58743i | −0.0503413 | − | 0.150791i | ||||
\(567\) | 0.862389 | − | 0.104713i | 0.0362169 | − | 0.00439753i | ||||
\(568\) | 0.598155 | − | 2.06507i | 0.0250980 | − | 0.0866485i | ||||
\(569\) | −7.48040 | + | 36.6414i | −0.313595 | + | 1.53609i | 0.451559 | + | 0.892241i | \(0.350868\pi\) |
−0.765154 | + | 0.643848i | \(0.777337\pi\) | |||||||
\(570\) | 5.46266 | − | 16.3627i | 0.228806 | − | 0.685357i | ||||
\(571\) | 20.6065 | + | 10.8151i | 0.862354 | + | 0.452598i | 0.837079 | − | 0.547082i | \(-0.184261\pi\) |
0.0252753 | + | 0.999681i | \(0.491954\pi\) | |||||||
\(572\) | 6.49346 | + | 5.14842i | 0.271505 | + | 0.215266i | ||||
\(573\) | 0.686474 | − | 0.360289i | 0.0286778 | − | 0.0150513i | ||||
\(574\) | 1.54953 | + | 9.53465i | 0.0646762 | + | 0.397968i | ||||
\(575\) | −8.90017 | + | 6.68804i | −0.371163 | + | 0.278911i | ||||
\(576\) | −0.273882 | + | 6.79631i | −0.0114118 | + | 0.283180i | ||||
\(577\) | 0.881229i | 0.0366860i | 0.999832 | + | 0.0183430i | \(0.00583909\pi\) | ||||
−0.999832 | + | 0.0183430i | \(0.994161\pi\) | |||||||
\(578\) | −1.31652 | − | 0.0530540i | −0.0547601 | − | 0.00220676i | ||||
\(579\) | −21.9570 | + | 4.48256i | −0.912503 | + | 0.186289i | ||||
\(580\) | −12.0829 | + | 8.34021i | −0.501714 | + | 0.346308i | ||||
\(581\) | 11.2535 | − | 3.75698i | 0.466875 | − | 0.155866i | ||||
\(582\) | 4.37576 | − | 9.22171i | 0.181381 | − | 0.382252i | ||||
\(583\) | −9.23277 | − | 7.53832i | −0.382382 | − | 0.312206i | ||||
\(584\) | 0.178462 | + | 0.470567i | 0.00738483 | + | 0.0194722i | ||||
\(585\) | 10.5428 | + | 3.82645i | 0.435893 | + | 0.158204i | ||||
\(586\) | 18.7741 | − | 49.5033i | 0.775551 | − | 2.04496i | ||||
\(587\) | −7.23624 | + | 4.17784i | −0.298672 | + | 0.172438i | −0.641846 | − | 0.766834i | \(-0.721831\pi\) |
0.343174 | + | 0.939272i | \(0.388498\pi\) | |||||||
\(588\) | 7.32731 | − | 8.97432i | 0.302173 | − | 0.370095i | ||||
\(589\) | −2.98127 | − | 2.24028i | −0.122841 | − | 0.0923090i | ||||
\(590\) | 42.7741 | − | 81.4992i | 1.76098 | − | 3.35527i | ||||
\(591\) | −0.312622 | − | 3.87252i | −0.0128595 | − | 0.159294i | ||||
\(592\) | 2.44190 | + | 30.2484i | 0.100362 | + | 1.24320i | ||||
\(593\) | 21.9286 | − | 41.7814i | 0.900499 | − | 1.71576i | 0.230986 | − | 0.972957i | \(-0.425805\pi\) |
0.669513 | − | 0.742800i | \(-0.266503\pi\) | |||||||
\(594\) | 1.94471 | + | 1.46135i | 0.0797923 | + | 0.0599600i | ||||
\(595\) | 6.90622 | − | 8.45858i | 0.283127 | − | 0.346768i | ||||
\(596\) | −22.8736 | + | 13.2061i | −0.936939 | + | 0.540942i | ||||
\(597\) | −1.21369 | + | 3.20024i | −0.0496731 | + | 0.130977i | ||||
\(598\) | −15.6710 | + | 6.20156i | −0.640835 | + | 0.253601i | ||||
\(599\) | −0.641659 | − | 1.69192i | −0.0262175 | − | 0.0691298i | 0.921268 | − | 0.388927i | \(-0.127154\pi\) |
−0.947486 | + | 0.319798i | \(0.896385\pi\) | |||||||
\(600\) | −1.03059 | − | 0.841448i | −0.0420735 | − | 0.0343520i | ||||
\(601\) | 15.9616 | − | 33.6384i | 0.651088 | − | 1.37214i | −0.262276 | − | 0.964993i | \(-0.584473\pi\) |
0.913363 | − | 0.407145i | \(-0.133476\pi\) | |||||||
\(602\) | −4.90208 | + | 1.63656i | −0.199794 | + | 0.0667010i | ||||
\(603\) | 0.239755 | − | 0.165491i | 0.00976357 | − | 0.00673930i | ||||
\(604\) | 24.8989 | − | 5.08314i | 1.01312 | − | 0.206830i | ||||
\(605\) | 29.4189 | + | 1.18554i | 1.19605 | + | 0.0481991i | ||||
\(606\) | 14.3272i | 0.582003i | ||||||||
\(607\) | −0.341972 | + | 8.48594i | −0.0138802 | + | 0.344434i | 0.977296 | + | 0.211880i | \(0.0679587\pi\) |
−0.991176 | + | 0.132554i | \(0.957682\pi\) | |||||||
\(608\) | −17.6403 | + | 13.2558i | −0.715407 | + | 0.537594i | ||||
\(609\) | −0.354545 | − | 2.18161i | −0.0143669 | − | 0.0884031i | ||||
\(610\) | 77.6447 | − | 40.7511i | 3.14374 | − | 1.64996i | ||||
\(611\) | −16.9735 | − | 7.75797i | −0.686674 | − | 0.313854i | ||||
\(612\) | −6.63763 | − | 3.48369i | −0.268310 | − | 0.140820i | ||||
\(613\) | −9.88065 | + | 29.5962i | −0.399076 | + | 1.19538i | 0.537001 | + | 0.843582i | \(0.319557\pi\) |
−0.936077 | + | 0.351796i | \(0.885571\pi\) | |||||||
\(614\) | 11.2869 | − | 55.2869i | 0.455502 | − | 2.23120i | ||||
\(615\) | −4.90125 | + | 16.9211i | −0.197638 | + | 0.682324i | ||||
\(616\) | 0.303980 | − | 0.0369099i | 0.0122477 | − | 0.00148714i | ||||
\(617\) | 4.80494 | + | 14.3926i | 0.193440 | + | 0.579423i | 0.999930 | − | 0.0118245i | \(-0.00376395\pi\) |
−0.806490 | + | 0.591247i | \(0.798636\pi\) | |||||||
\(618\) | −0.0267297 | + | 0.164475i | −0.00107523 | + | 0.00661614i | ||||
\(619\) | 17.0218 | + | 32.4324i | 0.684166 | + | 1.30357i | 0.941424 | + | 0.337226i | \(0.109489\pi\) |
−0.257258 | + | 0.966343i | \(0.582819\pi\) | |||||||
\(620\) | 6.43970 | − | 4.07222i | 0.258625 | − | 0.163544i | ||||
\(621\) | −2.19017 | + | 0.933145i | −0.0878885 | + | 0.0374458i | ||||
\(622\) | −57.7131 | − | 11.7822i | −2.31408 | − | 0.472424i | ||||
\(623\) | 5.09705 | + | 1.25631i | 0.204209 | + | 0.0503330i | ||||
\(624\) | −8.92396 | − | 12.5403i | −0.357244 | − | 0.502012i | ||||
\(625\) | 25.7429 | − | 6.34505i | 1.02972 | − | 0.253802i | ||||
\(626\) | −19.3849 | + | 0.781186i | −0.774777 | + | 0.0312225i | ||||
\(627\) | 0.140901 | + | 3.49641i | 0.00562702 | + | 0.139633i | ||||
\(628\) | 0.392958 | + | 0.481286i | 0.0156807 | + | 0.0192054i | ||||
\(629\) | −26.8599 | − | 10.1866i | −1.07097 | − | 0.406167i | ||||
\(630\) | −4.79358 | + | 2.27458i | −0.190981 | + | 0.0906216i | ||||
\(631\) | 28.6590 | + | 8.30118i | 1.14090 | + | 0.330465i | 0.794286 | − | 0.607544i | \(-0.207845\pi\) |
0.346611 | + | 0.938009i | \(0.387332\pi\) | |||||||
\(632\) | −0.814379 | − | 0.562125i | −0.0323943 | − | 0.0223601i | ||||
\(633\) | −16.1715 | − | 6.89005i | −0.642761 | − | 0.273855i | ||||
\(634\) | −16.9618 | + | 2.75656i | −0.673640 | + | 0.109477i | ||||
\(635\) | 6.42623 | − | 10.1623i | 0.255017 | − | 0.403277i | ||||
\(636\) | −10.1384 | − | 14.6879i | −0.402012 | − | 0.582415i | ||||
\(637\) | −0.584136 | + | 22.5102i | −0.0231443 | + | 0.891888i | ||||
\(638\) | 3.51577 | − | 5.09347i | 0.139191 | − | 0.201652i | ||||
\(639\) | −2.96200 | − | 6.95208i | −0.117175 | − | 0.275020i | ||||
\(640\) | 1.96464 | + | 6.78272i | 0.0776592 | + | 0.268111i | ||||
\(641\) | −38.3170 | + | 3.09327i | −1.51343 | + | 0.122177i | −0.809089 | − | 0.587686i | \(-0.800039\pi\) |
−0.704340 | + | 0.709863i | \(0.748757\pi\) | |||||||
\(642\) | −20.3220 | − | 22.9388i | −0.802046 | − | 0.905323i | ||||
\(643\) | 13.8567 | + | 21.9126i | 0.546454 | + | 0.864148i | 0.999628 | − | 0.0272743i | \(-0.00868276\pi\) |
−0.453174 | + | 0.891422i | \(0.649708\pi\) | |||||||
\(644\) | 1.50383 | − | 3.52961i | 0.0592590 | − | 0.139086i | ||||
\(645\) | −9.35634 | − | 1.13607i | −0.368406 | − | 0.0447325i | ||||
\(646\) | −4.48237 | − | 21.9561i | −0.176357 | − | 0.863852i | ||||
\(647\) | 41.3793 | + | 3.34048i | 1.62679 | + | 0.131328i | 0.859904 | − | 0.510456i | \(-0.170524\pi\) |
0.766885 | + | 0.641784i | \(0.221806\pi\) | |||||||
\(648\) | −0.170915 | − | 0.227447i | −0.00671419 | − | 0.00893497i | ||||
\(649\) | −2.25051 | + | 18.5346i | −0.0883401 | + | 0.727546i | ||||
\(650\) | −33.0944 | − | 0.858792i | −1.29807 | − | 0.0336846i | ||||
\(651\) | 0.138258 | + | 1.13865i | 0.00541874 | + | 0.0446273i | ||||
\(652\) | 21.7225 | − | 20.8647i | 0.850718 | − | 0.817126i | ||||
\(653\) | −12.4161 | − | 21.5053i | −0.485879 | − | 0.841568i | 0.513989 | − | 0.857797i | \(-0.328167\pi\) |
−0.999868 | + | 0.0162290i | \(0.994834\pi\) | |||||||
\(654\) | 0.0794720 | − | 0.137650i | 0.00310760 | − | 0.00538252i | ||||
\(655\) | −6.43702 | − | 26.1160i | −0.251515 | − | 1.02044i | ||||
\(656\) | 18.7263 | − | 15.2896i | 0.731141 | − | 0.596958i | ||||
\(657\) | 1.53193 | + | 0.884461i | 0.0597664 | + | 0.0345061i | ||||
\(658\) | 8.25495 | − | 3.13069i | 0.321812 | − | 0.122047i | ||||
\(659\) | 25.8496 | − | 26.9123i | 1.00696 | − | 1.04835i | 0.00812962 | − | 0.999967i | \(-0.497412\pi\) |
0.998829 | − | 0.0483876i | \(-0.0154083\pi\) | |||||||
\(660\) | −6.78151 | − | 2.26400i | −0.263970 | − | 0.0881262i | ||||
\(661\) | 13.2750 | − | 3.84516i | 0.516339 | − | 0.149559i | −0.00981003 | − | 0.999952i | \(-0.503123\pi\) |
0.526149 | + | 0.850393i | \(0.323635\pi\) | |||||||
\(662\) | 29.5799 | − | 26.2055i | 1.14966 | − | 1.01851i | ||||
\(663\) | 14.3461 | − | 2.54302i | 0.557155 | − | 0.0987627i | ||||
\(664\) | −2.90833 | − | 2.57656i | −0.112865 | − | 0.0999898i | ||||
\(665\) | −6.89554 | − | 3.27197i | −0.267398 | − | 0.126882i | ||||
\(666\) | 9.66907 | + | 10.0666i | 0.374669 | + | 0.390071i | ||||
\(667\) | 2.59658 | + | 5.47217i | 0.100540 | + | 0.211883i | ||||
\(668\) | 10.0455 | − | 40.7561i | 0.388671 | − | 1.57690i | ||||
\(669\) | −5.86942 | − | 5.63765i | −0.226925 | − | 0.217964i | ||||
\(670\) | −1.06890 | + | 1.42245i | −0.0412953 | + | 0.0549541i | ||||
\(671\) | −11.7954 | + | 13.3143i | −0.455357 | + | 0.513992i | ||||
\(672\) | 6.69904 | + | 1.08870i | 0.258421 | + | 0.0419975i | ||||
\(673\) | 22.1750 | + | 14.0226i | 0.854783 | + | 0.540532i | 0.888488 | − | 0.458900i | \(-0.151756\pi\) |
−0.0337052 | + | 0.999432i | \(0.510731\pi\) | |||||||
\(674\) | −4.37891 | + | 54.2426i | −0.168669 | + | 2.08935i | ||||
\(675\) | −4.67639 | −0.179994 | ||||||||
\(676\) | −23.0846 | − | 6.97807i | −0.887871 | − | 0.268387i | ||||
\(677\) | −38.2012 | −1.46819 | −0.734096 | − | 0.679046i | \(-0.762394\pi\) | ||||
−0.734096 | + | 0.679046i | \(0.762394\pi\) | |||||||
\(678\) | −1.45298 | + | 17.9984i | −0.0558014 | + | 0.691225i | ||||
\(679\) | −3.81703 | − | 2.41374i | −0.146484 | − | 0.0926310i | ||||
\(680\) | −3.52995 | − | 0.573672i | −0.135367 | − | 0.0219993i | ||||
\(681\) | −17.3133 | + | 19.5426i | −0.663446 | + | 0.748875i | ||||
\(682\) | −1.92949 | + | 2.56769i | −0.0738841 | + | 0.0983218i | ||||
\(683\) | −19.6318 | − | 18.8566i | −0.751191 | − | 0.721529i | 0.215772 | − | 0.976444i | \(-0.430773\pi\) |
−0.966964 | + | 0.254915i | \(0.917953\pi\) | |||||||
\(684\) | −1.25390 | + | 5.08728i | −0.0479441 | + | 0.194517i | ||||
\(685\) | −0.883591 | − | 1.86213i | −0.0337603 | − | 0.0711483i | ||||
\(686\) | −15.6503 | − | 16.2937i | −0.597530 | − | 0.622095i | ||||
\(687\) | −16.1251 | − | 7.65144i | −0.615210 | − | 0.291921i | ||||
\(688\) | 9.68127 | + | 8.57685i | 0.369095 | + | 0.326989i | ||||
\(689\) | 33.0565 | + | 10.5118i | 1.25935 | + | 0.400466i | ||||
\(690\) | 10.8836 | − | 9.64203i | 0.414331 | − | 0.367066i | ||||
\(691\) | −20.5637 | + | 5.95635i | −0.782280 | + | 0.226590i | −0.645245 | − | 0.763976i | \(-0.723245\pi\) |
−0.137035 | + | 0.990566i | \(0.543757\pi\) | |||||||
\(692\) | 13.3860 | + | 4.46890i | 0.508859 | + | 0.169882i | ||||
\(693\) | 0.745574 | − | 0.776225i | 0.0283220 | − | 0.0294864i | ||||
\(694\) | 14.9789 | − | 5.68075i | 0.568592 | − | 0.215638i | ||||
\(695\) | −22.7619 | − | 13.1416i | −0.863410 | − | 0.498490i | ||||
\(696\) | −0.560698 | + | 0.457796i | −0.0212532 | + | 0.0173527i | ||||
\(697\) | 5.47667 | + | 22.2197i | 0.207444 | + | 0.841631i | ||||
\(698\) | −21.2680 | + | 36.8372i | −0.805005 | + | 1.39431i | ||||
\(699\) | 0.363177 | + | 0.629041i | 0.0137366 | + | 0.0237925i | ||||
\(700\) | 5.43521 | − | 5.22059i | 0.205432 | − | 0.197320i | ||||
\(701\) | 1.45594 | + | 11.9907i | 0.0549900 | + | 0.452883i | 0.994033 | + | 0.109083i | \(0.0347914\pi\) |
−0.939043 | + | 0.343801i | \(0.888286\pi\) | |||||||
\(702\) | −6.82731 | − | 1.87192i | −0.257680 | − | 0.0706511i | ||||
\(703\) | −2.42020 | + | 19.9321i | −0.0912796 | + | 0.751755i | ||||
\(704\) | 5.06248 | + | 6.73693i | 0.190799 | + | 0.253908i | ||||
\(705\) | 16.0488 | + | 1.29559i | 0.604433 | + | 0.0487948i | ||||
\(706\) | −6.23915 | − | 30.5614i | −0.234814 | − | 1.15019i | ||||
\(707\) | 6.29285 | + | 0.764091i | 0.236667 | + | 0.0287366i | ||||
\(708\) | −10.9579 | + | 25.7192i | −0.411824 | + | 0.966586i | ||||
\(709\) | −9.29406 | − | 14.6974i | −0.349046 | − | 0.551972i | 0.624338 | − | 0.781155i | \(-0.285369\pi\) |
−0.973383 | + | 0.229183i | \(0.926395\pi\) | |||||||
\(710\) | 30.6059 | + | 34.5469i | 1.14862 | + | 1.29652i | ||||
\(711\) | −3.46682 | + | 0.279871i | −0.130016 | + | 0.0104960i | ||||
\(712\) | −0.478324 | − | 1.65136i | −0.0179259 | − | 0.0618875i | ||||
\(713\) | −1.23207 | − | 2.89179i | −0.0461416 | − | 0.108298i | ||||
\(714\) | −3.91540 | + | 5.67243i | −0.146530 | + | 0.212286i | ||||
\(715\) | 13.1161 | − | 4.58875i | 0.490513 | − | 0.171609i | ||||
\(716\) | 1.69944 | + | 2.46206i | 0.0635110 | + | 0.0920116i | ||||
\(717\) | 15.5420 | − | 24.5777i | 0.580426 | − | 0.917871i | ||||
\(718\) | −17.1027 | + | 2.77946i | −0.638267 | + | 0.103728i | ||||
\(719\) | 12.9968 | + | 5.53743i | 0.484700 | + | 0.206511i | 0.620472 | − | 0.784229i | \(-0.286941\pi\) |
−0.135772 | + | 0.990740i | \(0.543351\pi\) | |||||||
\(720\) | 10.9284 | + | 7.54330i | 0.407276 | + | 0.281122i | ||||
\(721\) | 0.0708156 | + | 0.0205120i | 0.00263731 | + | 0.000763907i | ||||
\(722\) | 19.5530 | − | 9.27801i | 0.727687 | − | 0.345292i | ||||
\(723\) | −20.2668 | − | 7.68618i | −0.753730 | − | 0.285852i | ||||
\(724\) | 24.6839 | + | 30.2322i | 0.917368 | + | 1.12357i | ||||
\(725\) | 0.479076 | + | 11.8881i | 0.0177924 | + | 0.441515i | ||||
\(726\) | −18.5690 | + | 0.748304i | −0.689159 | + | 0.0277721i | ||||
\(727\) | −18.5353 | + | 4.56855i | −0.687437 | + | 0.169438i | −0.567537 | − | 0.823348i | \(-0.692104\pi\) |
−0.119900 | + | 0.992786i | \(0.538258\pi\) | |||||||
\(728\) | −0.783049 | + | 0.425400i | −0.0290217 | + | 0.0157664i | ||||
\(729\) | −0.970942 | − | 0.239316i | −0.0359608 | − | 0.00886354i | ||||
\(730\) | −10.5856 | − | 2.16107i | −0.391792 | − | 0.0799848i | ||||
\(731\) | −11.2638 | + | 4.79905i | −0.416606 | + | 0.177499i | ||||
\(732\) | −22.5108 | + | 14.2350i | −0.832024 | + | 0.526140i | ||||
\(733\) | −10.3898 | − | 19.7962i | −0.383757 | − | 0.731188i | 0.614579 | − | 0.788855i | \(-0.289326\pi\) |
−0.998336 | + | 0.0576677i | \(0.981634\pi\) | |||||||
\(734\) | 2.21589 | − | 13.6349i | 0.0817901 | − | 0.503275i | ||||
\(735\) | −6.15199 | − | 18.4275i | −0.226920 | − | 0.679707i | ||||
\(736\) | −18.4635 | + | 2.24187i | −0.680573 | + | 0.0826366i | ||||
\(737\) | 0.100417 | − | 0.346681i | 0.00369893 | − | 0.0127702i | ||||
\(738\) | 2.22418 | − | 10.8947i | 0.0818731 | − | 0.401041i | ||||
\(739\) | 11.5738 | − | 34.6677i | 0.425748 | − | 1.27527i | −0.489367 | − | 0.872078i | \(-0.662772\pi\) |
0.915115 | − | 0.403193i | \(-0.132100\pi\) | |||||||
\(740\) | −36.3243 | − | 19.0644i | −1.33531 | − | 0.700823i | ||||
\(741\) | −4.12546 | − | 9.31045i | −0.151553 | − | 0.342028i | ||||
\(742\) | −14.5301 | + | 7.62599i | −0.533417 | + | 0.279959i | ||||
\(743\) | 3.49148 | + | 21.4840i | 0.128090 | + | 0.788170i | 0.969012 | + | 0.247014i | \(0.0794493\pi\) |
−0.840922 | + | 0.541157i | \(0.817987\pi\) | |||||||
\(744\) | 0.300309 | − | 0.225668i | 0.0110099 | − | 0.00827338i | ||||
\(745\) | −1.78333 | + | 44.2529i | −0.0653362 | + | 1.62130i | ||||
\(746\) | − | 9.38259i | − | 0.343521i | ||||||
\(747\) | −13.6459 | − | 0.549909i | −0.499276 | − | 0.0201201i | ||||
\(748\) | −9.09972 | + | 1.85772i | −0.332719 | + | 0.0679250i | ||||
\(749\) | −11.1591 | + | 7.70255i | −0.407744 | + | 0.281445i | ||||
\(750\) | −1.87476 | + | 0.625888i | −0.0684567 | + | 0.0228542i | ||||
\(751\) | −13.3242 | + | 28.0802i | −0.486208 | + | 1.02466i | 0.501034 | + | 0.865428i | \(0.332953\pi\) |
−0.987241 | + | 0.159233i | \(0.949098\pi\) | |||||||
\(752\) | −17.1152 | − | 13.9742i | −0.624129 | − | 0.509585i | ||||
\(753\) | −4.73854 | − | 12.4945i | −0.172682 | − | 0.455325i | ||||
\(754\) | −4.05930 | + | 17.5479i | −0.147831 | + | 0.639057i | ||||
\(755\) | 15.1106 | − | 39.8433i | 0.549930 | − | 1.45005i | ||||
\(756\) | 1.39566 | − | 0.805783i | 0.0507596 | − | 0.0293061i | ||||
\(757\) | 3.43743 | − | 4.21008i | 0.124935 | − | 0.153018i | −0.708350 | − | 0.705862i | \(-0.750560\pi\) |
0.833285 | + | 0.552844i | \(0.186457\pi\) | |||||||
\(758\) | −52.7676 | − | 39.6523i | −1.91661 | − | 1.44024i | ||||
\(759\) | −1.37070 | + | 2.61166i | −0.0497534 | + | 0.0947971i | ||||
\(760\) | 0.201137 | + | 2.49152i | 0.00729599 | + | 0.0903770i | ||||
\(761\) | 0.0101129 | + | 0.125271i | 0.000366592 | + | 0.00454105i | 0.996938 | − | 0.0781958i | \(-0.0249159\pi\) |
−0.996571 | + | 0.0827369i | \(0.973634\pi\) | |||||||
\(762\) | −3.52689 | + | 6.71992i | −0.127766 | + | 0.243437i | ||||
\(763\) | −0.0562206 | − | 0.0422470i | −0.00203532 | − | 0.00152945i | ||||
\(764\) | 0.909592 | − | 1.11405i | 0.0329079 | − | 0.0403048i | ||||
\(765\) | −10.8860 | + | 6.28501i | −0.393582 | + | 0.227235i | ||||
\(766\) | 6.47159 | − | 17.0642i | 0.233828 | − | 0.616554i | ||||
\(767\) | −13.7581 | − | 52.5648i | −0.496777 | − | 1.89801i | ||||
\(768\) | −6.40446 | − | 16.8872i | −0.231101 | − | 0.609363i | ||||
\(769\) | −16.5687 | − | 13.5280i | −0.597484 | − | 0.487831i | 0.284775 | − | 0.958594i | \(-0.408081\pi\) |
−0.882259 | + | 0.470764i | \(0.843978\pi\) | |||||||
\(770\) | −2.81806 | + | 5.93895i | −0.101556 | + | 0.214025i | ||||
\(771\) | −14.7512 | + | 4.92467i | −0.531251 | + | 0.177358i | ||||
\(772\) | −34.2136 | + | 23.6159i | −1.23137 | + | 0.849956i | ||||
\(773\) | −19.8007 | + | 4.04234i | −0.712182 | + | 0.145393i | −0.542439 | − | 0.840095i | \(-0.682499\pi\) |
−0.169743 | + | 0.985488i | \(0.554294\pi\) | |||||||
\(774\) | 5.94419 | + | 0.239543i | 0.213660 | + | 0.00861019i | ||||
\(775\) | − | 6.17446i | − | 0.221793i | ||||||
\(776\) | −0.0595553 | + | 1.47785i | −0.00213791 | + | 0.0530517i | ||||
\(777\) | 4.93714 | − | 3.71002i | 0.177119 | − | 0.133096i | ||||
\(778\) | −9.85470 | − | 60.6384i | −0.353308 | − | 2.17399i | ||||
\(779\) | 14.1631 | − | 7.43338i | 0.507446 | − | 0.266328i | ||||
\(780\) | 20.7753 | − | 1.13566i | 0.743875 | − | 0.0406632i | ||||
\(781\) | −8.28996 | − | 4.35091i | −0.296638 | − | 0.155688i | ||||
\(782\) | 5.98137 | − | 17.9164i | 0.213893 | − | 0.640689i | ||||
\(783\) | −0.508910 | + | 2.49281i | −0.0181870 | + | 0.0890857i | ||||
\(784\) | −7.41730 | + | 25.6075i | −0.264903 | + | 0.914553i | ||||
\(785\) | 1.03427 | − | 0.125583i | 0.0369148 | − | 0.00448227i | ||||
\(786\) | 5.37624 | + | 16.1038i | 0.191764 | + | 0.574404i | ||||
\(787\) | −3.29971 | + | 20.3039i | −0.117622 | + | 0.723756i | 0.859510 | + | 0.511120i | \(0.170769\pi\) |
−0.977131 | + | 0.212636i | \(0.931795\pi\) | |||||||
\(788\) | −3.34939 | − | 6.38172i | −0.119317 | − | 0.227339i | ||||
\(789\) | −16.4559 | + | 10.4061i | −0.585847 | + | 0.370467i | ||||
\(790\) | 19.5432 | − | 8.32656i | 0.695314 | − | 0.296246i | ||||
\(791\) | 7.82783 | + | 1.59806i | 0.278326 | + | 0.0568206i | ||||
\(792\) | −0.342244 | − | 0.0843555i | −0.0121611 | − | 0.00299744i | ||||
\(793\) | 17.6608 | − | 48.6599i | 0.627152 | − | 1.72796i | ||||
\(794\) | 18.2002 | − | 4.48594i | 0.645901 | − | 0.159200i | ||||
\(795\) | −29.9025 | + | 1.20503i | −1.06053 | + | 0.0427380i | ||||
\(796\) | 0.255663 | + | 6.34422i | 0.00906174 | + | 0.224865i | ||||
\(797\) | −15.7394 | − | 19.2773i | −0.557519 | − | 0.682837i | 0.416544 | − | 0.909116i | \(-0.363241\pi\) |
−0.974062 | + | 0.226279i | \(0.927344\pi\) | |||||||
\(798\) | 4.50447 | + | 1.70832i | 0.159457 | + | 0.0604739i | ||||
\(799\) | 18.8964 | − | 8.96646i | 0.668507 | − | 0.317211i | ||||
\(800\) | −35.0920 | − | 10.1645i | −1.24069 | − | 0.359370i | ||||
\(801\) | −4.97320 | − | 3.43275i | −0.175719 | − | 0.121290i | ||||
\(802\) | −48.2352 | − | 20.5511i | −1.70324 | − | 0.725684i | ||||
\(803\) | 2.16320 | − | 0.351555i | 0.0763378 | − | 0.0124061i | ||||
\(804\) | 0.288843 | − | 0.456769i | 0.0101867 | − | 0.0161090i | ||||
\(805\) | −3.65457 | − | 5.29456i | −0.128807 | − | 0.186609i | ||||
\(806\) | 2.47159 | − | 9.01442i | 0.0870579 | − | 0.317519i | ||||
\(807\) | 4.97684 | − | 7.21020i | 0.175193 | − | 0.253811i | ||||
\(808\) | −0.813741 | − | 1.90992i | −0.0286273 | − | 0.0671908i | ||||
\(809\) | −0.283891 | − | 0.980106i | −0.00998108 | − | 0.0344587i | 0.955373 | − | 0.295402i | \(-0.0954536\pi\) |
−0.965354 | + | 0.260943i | \(0.915966\pi\) | |||||||
\(810\) | 6.08785 | − | 0.491462i | 0.213905 | − | 0.0172682i | ||||
\(811\) | 36.0264 | + | 40.6654i | 1.26506 | + | 1.42796i | 0.857259 | + | 0.514885i | \(0.172165\pi\) |
0.407799 | + | 0.913072i | \(0.366296\pi\) | |||||||
\(812\) | −2.19141 | − | 3.46544i | −0.0769034 | − | 0.121613i | ||||
\(813\) | −5.83495 | + | 13.6951i | −0.204641 | + | 0.480309i | ||||
\(814\) | 17.1670 | + | 2.08445i | 0.601704 | + | 0.0730601i | ||||
\(815\) | −10.1025 | − | 49.4852i | −0.353874 | − | 1.73339i | ||||
\(816\) | 17.1939 | + | 1.38804i | 0.601908 | + | 0.0485910i | ||||
\(817\) | 5.14093 | + | 6.84133i | 0.179858 | + | 0.239348i | ||||
\(818\) | 7.67627 | − | 63.2198i | 0.268395 | − | 2.21043i | ||||
\(819\) | −1.18630 | + | 2.89888i | −0.0414528 | + | 0.101295i | ||||
\(820\) | 3.93921 | + | 32.4423i | 0.137563 | + | 1.13293i | ||||
\(821\) | −2.00745 | + | 1.92819i | −0.0700606 | + | 0.0672941i | −0.726937 | − | 0.686704i | \(-0.759057\pi\) |
0.656876 | + | 0.753998i | \(0.271877\pi\) | |||||||
\(822\) | 0.650484 | + | 1.12667i | 0.0226882 | + | 0.0392972i | ||||
\(823\) | −6.59268 | + | 11.4189i | −0.229806 | + | 0.398036i | −0.957751 | − | 0.287600i | \(-0.907143\pi\) |
0.727944 | + | 0.685636i | \(0.240476\pi\) | |||||||
\(824\) | −0.00577838 | − | 0.0234438i | −0.000201299 | − | 0.000816704i | ||||
\(825\) | −4.48787 | + | 3.66423i | −0.156248 | + | 0.127572i | ||||
\(826\) | 22.2609 | + | 12.8523i | 0.774554 | + | 0.447189i | ||||
\(827\) | 34.0648 | − | 12.9191i | 1.18455 | − | 0.449240i | 0.317883 | − | 0.948130i | \(-0.397028\pi\) |
0.866665 | + | 0.498890i | \(0.166259\pi\) | |||||||
\(828\) | −3.05934 | + | 3.18511i | −0.106319 | + | 0.110690i | ||||
\(829\) | 27.1138 | + | 9.05192i | 0.941701 | + | 0.314386i | 0.745749 | − | 0.666227i | \(-0.232092\pi\) |
0.195952 | + | 0.980613i | \(0.437220\pi\) | |||||||
\(830\) | 80.1185 | − | 23.2066i | 2.78096 | − | 0.805513i | ||||
\(831\) | 0.420535 | − | 0.372561i | 0.0145882 | − | 0.0129240i | ||||
\(832\) | −20.9135 | − | 12.8090i | −0.725044 | − | 0.444072i | ||||
\(833\) | −18.8900 | − | 16.7351i | −0.654499 | − | 0.579836i | ||||
\(834\) | 14.9880 | + | 7.11190i | 0.518992 | + | 0.246265i | ||||
\(835\) | −48.7585 | − | 50.7629i | −1.68736 | − | 1.75672i | ||||
\(836\) | 2.78284 | + | 5.86470i | 0.0962464 | + | 0.202835i | ||||
\(837\) | 0.315980 | − | 1.28198i | 0.0109219 | − | 0.0443117i | ||||
\(838\) | 7.49392 | + | 7.19800i | 0.258873 | + | 0.248651i | ||||
\(839\) | −8.21754 | + | 10.9356i | −0.283701 | + | 0.377537i | −0.918687 | − | 0.394986i | \(-0.870749\pi\) |
0.634986 | + | 0.772523i | \(0.281006\pi\) | |||||||
\(840\) | 0.509830 | − | 0.575479i | 0.0175908 | − | 0.0198559i | ||||
\(841\) | −22.2352 | − | 3.61357i | −0.766731 | − | 0.124606i | ||||
\(842\) | 35.3596 | + | 22.3601i | 1.21857 | + | 0.770578i | ||||
\(843\) | 1.45629 | − | 18.0394i | 0.0501573 | − | 0.621309i | ||||
\(844\) | −32.6092 | −1.12246 | ||||||||
\(845\) | −30.5783 | + | 26.4627i | −1.05193 | + | 0.910346i | ||||
\(846\) | −10.1628 | −0.349405 | ||||||||
\(847\) | −0.661636 | + | 8.19583i | −0.0227341 | + | 0.281612i | ||||
\(848\) | 34.7107 | + | 21.9497i | 1.19197 | + | 0.753757i | ||||
\(849\) | 1.90130 | + | 0.308991i | 0.0652524 | + | 0.0106045i | ||||
\(850\) | 24.6038 | − | 27.7719i | 0.843902 | − | 0.952569i | ||||
\(851\) | −10.1670 | + | 13.5299i | −0.348522 | + | 0.463798i | ||||
\(852\) | −10.1102 | − | 9.71100i | −0.346370 | − | 0.332693i | ||||
\(853\) | −10.9542 | + | 44.4428i | −0.375063 | + | 1.52169i | 0.415661 | + | 0.909520i | \(0.363550\pi\) |
−0.790725 | + | 0.612172i | \(0.790296\pi\) | |||||||
\(854\) | 10.4982 | + | 22.1245i | 0.359242 | + | 0.757085i | ||||
\(855\) | 6.08615 | + | 6.33636i | 0.208142 | + | 0.216699i | ||||
\(856\) | 4.01192 | + | 1.90368i | 0.137125 | + | 0.0650665i | ||||
\(857\) | 34.7557 | + | 30.7908i | 1.18723 | + | 1.05179i | 0.997551 | + | 0.0699484i | \(0.0222835\pi\) |
0.189680 | + | 0.981846i | \(0.439255\pi\) | |||||||
\(858\) | −8.01884 | + | 3.55315i | −0.273759 | + | 0.121302i | ||||
\(859\) | 39.2996 | − | 34.8164i | 1.34088 | − | 1.18792i | 0.375581 | − | 0.926790i | \(-0.377443\pi\) |
0.965304 | − | 0.261130i | \(-0.0840952\pi\) | |||||||
\(860\) | −16.7941 | + | 4.86447i | −0.572674 | + | 0.165877i | ||||
\(861\) | −4.66661 | − | 1.55794i | −0.159038 | − | 0.0530946i | ||||
\(862\) | 7.74713 | − | 8.06562i | 0.263868 | − | 0.274716i | ||||
\(863\) | 29.5120 | − | 11.1924i | 1.00460 | − | 0.380995i | 0.203210 | − | 0.979135i | \(-0.434863\pi\) |
0.801391 | + | 0.598140i | \(0.204093\pi\) | |||||||
\(864\) | −6.76585 | − | 3.90627i | −0.230179 | − | 0.132894i | ||||
\(865\) | 18.3302 | − | 14.9661i | 0.623245 | − | 0.508864i | ||||
\(866\) | 6.23715 | + | 25.3051i | 0.211947 | + | 0.859903i | ||||
\(867\) | 0.335531 | − | 0.581157i | 0.0113952 | − | 0.0197371i | ||||
\(868\) | 1.06391 | + | 1.84275i | 0.0361116 | + | 0.0625471i | ||||
\(869\) | −3.10777 | + | 2.98505i | −0.105424 | + | 0.101261i | ||||
\(870\) | −1.87305 | − | 15.4259i | −0.0635023 | − | 0.522989i | ||||
\(871\) | 0.0995177 | + | 1.04566i | 0.00337203 | + | 0.0354308i | ||||
\(872\) | −0.00277612 | + | 0.0228634i | −9.40114e−5 | + | 0.000774254i | ||||
\(873\) | 3.12304 | + | 4.15601i | 0.105699 | + | 0.140660i | ||||
\(874\) | −13.1593 | − | 1.06233i | −0.445120 | − | 0.0359338i | ||||
\(875\) | 0.174921 | + | 0.856820i | 0.00591341 | + | 0.0289658i | ||||
\(876\) | 3.25760 | + | 0.395544i | 0.110064 | + | 0.0133642i | ||||
\(877\) | −20.8986 | + | 49.0509i | −0.705697 | + | 1.65633i | 0.0477818 | + | 0.998858i | \(0.484785\pi\) |
−0.753478 | + | 0.657473i | \(0.771625\pi\) | |||||||
\(878\) | −4.74840 | − | 7.50899i | −0.160251 | − | 0.253416i | ||||
\(879\) | 17.8810 | + | 20.1834i | 0.603110 | + | 0.680770i | ||||
\(880\) | 16.3984 | − | 1.32382i | 0.552790 | − | 0.0446259i | ||||
\(881\) | −7.23647 | − | 24.9832i | −0.243803 | − | 0.841705i | −0.985312 | − | 0.170762i | \(-0.945377\pi\) |
0.741510 | − | 0.670942i | \(-0.234110\pi\) | |||||||
\(882\) | 4.80642 | + | 11.2811i | 0.161840 | + | 0.379854i | ||||
\(883\) | −7.89319 | + | 11.4353i | −0.265627 | + | 0.384827i | −0.932988 | − | 0.359907i | \(-0.882808\pi\) |
0.667361 | + | 0.744734i | \(0.267424\pi\) | |||||||
\(884\) | 22.6346 | − | 14.7716i | 0.761284 | − | 0.496822i | ||||
\(885\) | 26.6297 | + | 38.5798i | 0.895148 | + | 1.29685i | ||||
\(886\) | −18.4849 | + | 29.2316i | −0.621013 | + | 0.982054i | ||||
\(887\) | −20.7031 | + | 3.36458i | −0.695141 | + | 0.112971i | −0.497708 | − | 0.867345i | \(-0.665825\pi\) |
−0.197434 | + | 0.980316i | \(0.563261\pi\) | |||||||
\(888\) | −1.86070 | − | 0.792772i | −0.0624412 | − | 0.0266037i | ||||
\(889\) | 2.76345 | + | 1.90747i | 0.0926832 | + | 0.0639746i | ||||
\(890\) | 35.4507 | + | 10.2684i | 1.18831 | + | 0.344198i | ||||
\(891\) | −1.11932 | + | 0.531123i | −0.0374986 | + | 0.0177933i | ||||
\(892\) | −14.1164 | − | 5.35364i | −0.472652 | − | 0.179253i | ||||
\(893\) | −9.24581 | − | 11.3241i | −0.309399 | − | 0.378945i | ||||
\(894\) | −1.12562 | − | 27.9320i | −0.0376464 | − | 0.934187i | ||||
\(895\) | 5.01240 | − | 0.201993i | 0.167546 | − | 0.00675187i | ||||
\(896\) | −1.91477 | + | 0.471948i | −0.0639679 | + | 0.0157667i | ||||
\(897\) | 0.912411 | − | 8.53501i | 0.0304645 | − | 0.284976i | ||||
\(898\) | 70.1214 | + | 17.2834i | 2.33998 | + | 0.576754i | ||||
\(899\) | −3.29137 | − | 0.671938i | −0.109773 | − | 0.0224104i | ||||
\(900\) | −7.98097 | + | 3.40038i | −0.266032 | + | 0.113346i | ||||
\(901\) | −32.8576 | + | 20.7779i | −1.09465 | + | 0.692212i | ||||
\(902\) | −6.40217 | − | 12.1983i | −0.213169 | − | 0.406160i | ||||
\(903\) | 0.422225 | − | 2.59805i | 0.0140508 | − | 0.0864578i | ||||
\(904\) | −0.828560 | − | 2.48184i | −0.0275575 | − | 0.0825448i | ||||
\(905\) | 64.9684 | − | 7.88859i | 2.15962 | − | 0.262226i | ||||
\(906\) | −7.48310 | + | 25.8347i | −0.248609 | + | 0.858299i | ||||
\(907\) | −5.27056 | + | 25.8169i | −0.175006 | + | 0.857236i | 0.793563 | + | 0.608489i | \(0.208224\pi\) |
−0.968568 | + | 0.248747i | \(0.919981\pi\) | |||||||
\(908\) | −15.3375 | + | 45.9416i | −0.508994 | + | 1.52462i | ||||
\(909\) | −6.46117 | − | 3.39108i | −0.214303 | − | 0.112475i | ||||
\(910\) | 1.26592 | − | 19.0886i | 0.0419647 | − | 0.632782i | ||||
\(911\) | 16.1732 | − | 8.48835i | 0.535842 | − | 0.281231i | −0.175018 | − | 0.984565i | \(-0.555998\pi\) |
0.710860 | + | 0.703334i | \(0.248306\pi\) | |||||||
\(912\) | −1.93405 | − | 11.9007i | −0.0640427 | − | 0.394071i | ||||
\(913\) | −13.5266 | + | 10.1646i | −0.447666 | + | 0.336399i | ||||
\(914\) | 2.87789 | − | 71.4142i | 0.0951923 | − | 2.36217i | ||||
\(915\) | 44.6609i | 1.47644i | ||||||||
\(916\) | −33.0835 | − | 1.33322i | −1.09311 | − | 0.0440508i | ||||
\(917\) | 7.35990 | − | 1.50253i | 0.243045 | − | 0.0496180i | ||||
\(918\) | 6.52962 | − | 4.50707i | 0.215510 | − | 0.148756i | ||||
\(919\) | 48.0747 | − | 16.0497i | 1.58584 | − | 0.529431i | 0.619125 | − | 0.785293i | \(-0.287488\pi\) |
0.966713 | + | 0.255862i | \(0.0823593\pi\) | |||||||
\(920\) | −0.903224 | + | 1.90351i | −0.0297784 | + | 0.0627567i | ||||
\(921\) | 22.2613 | + | 18.1758i | 0.733536 | + | 0.598914i | ||||
\(922\) | 11.8286 | + | 31.1895i | 0.389555 | + | 1.02717i | ||||
\(923\) | 27.0920 | + | 2.89619i | 0.891743 | + | 0.0953292i | ||||
\(924\) | 0.708014 | − | 1.86688i | 0.0232920 | − | 0.0614159i | ||||
\(925\) | −28.7904 | + | 16.6222i | −0.946623 | + | 0.546533i | ||||
\(926\) | 26.8820 | − | 32.9245i | 0.883397 | − | 1.08197i | ||||
\(927\) | −0.0678468 | − | 0.0509836i | −0.00222838 | − | 0.00167452i | ||||
\(928\) | −9.23723 | + | 17.6001i | −0.303227 | + | 0.577751i | ||||
\(929\) | 2.54865 | + | 31.5707i | 0.0836186 | + | 1.03580i | 0.893457 | + | 0.449149i | \(0.148273\pi\) |
−0.809838 | + | 0.586653i | \(0.800445\pi\) | |||||||
\(930\) | 0.648900 | + | 8.03807i | 0.0212783 | + | 0.263579i | ||||
\(931\) | −8.19737 | + | 15.6188i | −0.268658 | + | 0.511885i | ||||
\(932\) | 1.07722 | + | 0.809475i | 0.0352854 | + | 0.0265152i | ||||
\(933\) | 18.9735 | − | 23.2383i | 0.621163 | − | 0.760787i | ||||
\(934\) | −22.3284 | + | 12.8913i | −0.730607 | + | 0.421816i | ||||
\(935\) | −5.52242 | + | 14.5614i | −0.180602 | + | 0.476210i | ||||
\(936\) | 1.01645 | − | 0.138229i | 0.0332237 | − | 0.00451817i | ||||
\(937\) | 5.27665 | + | 13.9134i | 0.172380 | + | 0.454530i | 0.993167 | − | 0.116706i | \(-0.0372334\pi\) |
−0.820786 | + | 0.571236i | \(0.806464\pi\) | |||||||
\(938\) | −0.384907 | − | 0.314266i | −0.0125676 | − | 0.0102612i | ||||
\(939\) | 4.23589 | − | 8.92695i | 0.138233 | − | 0.291320i | ||||
\(940\) | 28.3318 | − | 9.45854i | 0.924081 | − | 0.308503i | ||||
\(941\) | 18.7165 | − | 12.9191i | 0.610141 | − | 0.421150i | −0.222524 | − | 0.974927i | \(-0.571430\pi\) |
0.832665 | + | 0.553777i | \(0.186814\pi\) | |||||||
\(942\) | −0.644329 | + | 0.131541i | −0.0209934 | + | 0.00428583i | ||||
\(943\) | 13.4714 | + | 0.542880i | 0.438690 | + | 0.0176786i | ||||
\(944\) | − | 64.3308i | − | 2.09379i | ||||||
\(945\) | 0.108812 | − | 2.70014i | 0.00353965 | − | 0.0878355i | ||||
\(946\) | 5.89226 | − | 4.42774i | 0.191574 | − | 0.143958i | ||||
\(947\) | 6.74211 | + | 41.4858i | 0.219089 | + | 1.34811i | 0.830599 | + | 0.556872i | \(0.187998\pi\) |
−0.611510 | + | 0.791237i | \(0.709437\pi\) | |||||||
\(948\) | −5.71315 | + | 2.99849i | −0.185555 | + | 0.0973866i | ||||
\(949\) | −5.47719 | + | 3.26781i | −0.177797 | + | 0.106078i | ||||
\(950\) | −22.9626 | − | 12.0517i | −0.745006 | − | 0.391009i | ||||
\(951\) | 2.77153 | − | 8.30175i | 0.0898730 | − | 0.269203i | ||||
\(952\) | 0.199774 | − | 0.978558i | 0.00647472 | − | 0.0317153i | ||||
\(953\) | 2.96122 | − | 10.2233i | 0.0959232 | − | 0.331165i | −0.898177 | − | 0.439635i | \(-0.855108\pi\) |
0.994100 | + | 0.108470i | \(0.0345950\pi\) | |||||||
\(954\) | 18.7518 | − | 2.27688i | 0.607111 | − | 0.0737166i | ||||
\(955\) | −0.763691 | − | 2.28753i | −0.0247125 | − | 0.0740229i | ||||
\(956\) | 8.65343 | − | 53.2467i | 0.279872 | − | 1.72212i | ||||
\(957\) | 1.46487 | + | 2.79108i | 0.0473525 | + | 0.0902227i | ||||
\(958\) | 54.9857 | − | 34.7708i | 1.77651 | − | 1.12339i | ||||
\(959\) | 0.529552 | − | 0.225621i | 0.0171001 | − | 0.00728568i | ||||
\(960\) | 20.7308 | + | 4.23222i | 0.669083 | + | 0.136594i | ||||
\(961\) | −28.4065 | − | 7.00158i | −0.916340 | − | 0.225858i | ||||
\(962\) | −48.6864 | + | 12.7430i | −1.56971 | + | 0.410851i | ||||
\(963\) | 15.1547 | − | 3.73531i | 0.488355 | − | 0.120369i | ||||
\(964\) | −40.1773 | + | 1.61909i | −1.29402 | + | 0.0521473i | ||||
\(965\) | 2.80695 | + | 69.6538i | 0.0903590 | + | 2.24224i | ||||
\(966\) | 2.56816 | + | 3.14543i | 0.0826292 | + | 0.101202i | ||||
\(967\) | 3.04158 | + | 1.15352i | 0.0978107 | + | 0.0370947i | 0.403025 | − | 0.915189i | \(-0.367959\pi\) |
−0.305214 | + | 0.952284i | \(0.598728\pi\) | |||||||
\(968\) | 2.43287 | − | 1.15441i | 0.0781955 | − | 0.0371042i | ||||
\(969\) | 10.9625 | + | 3.17533i | 0.352167 | + | 0.102006i | ||||
\(970\) | −26.1310 | − | 18.0369i | −0.839015 | − | 0.579130i | ||||
\(971\) | 13.9460 | + | 5.94182i | 0.447547 | + | 0.190682i | 0.603968 | − | 0.797008i | \(-0.293585\pi\) |
−0.156421 | + | 0.987690i | \(0.549996\pi\) | |||||||
\(972\) | −1.83107 | + | 0.297579i | −0.0587317 | + | 0.00954484i | ||||
\(973\) | 3.92305 | − | 6.20380i | 0.125767 | − | 0.198885i | ||||
\(974\) | 26.3172 | + | 38.1270i | 0.843257 | + | 1.22167i | ||||
\(975\) | 8.22034 | − | 14.7214i | 0.263262 | − | 0.471461i | ||||
\(976\) | 34.8157 | − | 50.4392i | 1.11442 | − | 1.61452i | ||||
\(977\) | −11.9383 | − | 28.0203i | −0.381941 | − | 0.896449i | −0.994374 | − | 0.105927i | \(-0.966219\pi\) |
0.612433 | − | 0.790523i | \(-0.290191\pi\) | |||||||
\(978\) | 8.86926 | + | 30.6202i | 0.283608 | + | 0.979128i | ||||
\(979\) | −7.46248 | + | 0.602433i | −0.238502 | + | 0.0192539i | ||||
\(980\) | −23.8986 | − | 26.9759i | −0.763412 | − | 0.861714i | ||||
\(981\) | 0.0432660 | + | 0.0684197i | 0.00138138 | + | 0.00218447i | ||||
\(982\) | −6.41546 | + | 15.0576i | −0.204726 | + | 0.480508i | ||||
\(983\) | 17.8404 | + | 2.16621i | 0.569020 | + | 0.0690915i | 0.399990 | − | 0.916519i | \(-0.369014\pi\) |
0.169030 | + | 0.985611i | \(0.445937\pi\) | |||||||
\(984\) | 0.322289 | + | 1.57867i | 0.0102742 | + | 0.0503263i | ||||
\(985\) | −12.0462 | − | 0.972470i | −0.383824 | − | 0.0309855i | ||||
\(986\) | −12.1266 | − | 16.1376i | −0.386191 | − | 0.513927i | ||||
\(987\) | −0.541997 | + | 4.46375i | −0.0172520 | + | 0.142083i | ||||
\(988\) | −13.8107 | − | 12.8899i | −0.439376 | − | 0.410083i | ||||
\(989\) | 0.869454 | + | 7.16060i | 0.0276470 | + | 0.227694i | ||||
\(990\) | 5.45734 | − | 5.24184i | 0.173446 | − | 0.166597i | ||||
\(991\) | −29.2829 | − | 50.7194i | −0.930201 | − | 1.61116i | −0.782976 | − | 0.622053i | \(-0.786299\pi\) |
−0.147226 | − | 0.989103i | \(-0.547034\pi\) | |||||||
\(992\) | 5.15763 | − | 8.93327i | 0.163755 | − | 0.283632i | ||||
\(993\) | 4.81673 | + | 19.5422i | 0.152854 | + | 0.620154i | ||||
\(994\) | −9.98426 | + | 8.15190i | −0.316682 | + | 0.258563i | ||||
\(995\) | 9.22042 | + | 5.32341i | 0.292307 | + | 0.168764i | ||||
\(996\) | −23.6886 | + | 8.98389i | −0.750601 | + | 0.284666i | ||||
\(997\) | −19.8003 | + | 20.6143i | −0.627081 | + | 0.652861i | −0.956639 | − | 0.291275i | \(-0.905921\pi\) |
0.329558 | + | 0.944135i | \(0.393100\pi\) | |||||||
\(998\) | −21.8784 | − | 7.30407i | −0.692547 | − | 0.231206i | ||||
\(999\) | −6.82829 | + | 1.97784i | −0.216038 | + | 0.0625760i |
(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 | 507.2.t.a.322.3 | ✓ | 336 | |
169.95 | even | 78 | inner | 507.2.t.a.433.3 | yes | 336 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
507.2.t.a.322.3 | ✓ | 336 | 1.1 | even | 1 | trivial | |
507.2.t.a.433.3 | yes | 336 | 169.95 | even | 78 | inner |