Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [700,2,Mod(127,700)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(700, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([10, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("700.127");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 700 = 2^{2} \cdot 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 700.bj (of order \(20\), degree \(8\), 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: | \(5.58952814149\) |
Analytic rank: | \(0\) |
Dimension: | \(720\) |
Relative dimension: | \(90\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 323.85 | ||
Character | \(\chi\) | \(=\) | 700.323 |
Dual form | 700.2.bj.a.687.85 |
$q$-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 \(\left(\mathbb{Z}/700\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(351\) | \(477\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{11}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.40266 | − | 0.180426i | 0.991828 | − | 0.127581i | ||||
\(3\) | 0.474137 | + | 0.930546i | 0.273743 | + | 0.537251i | 0.986420 | − | 0.164241i | \(-0.0525175\pi\) |
−0.712677 | + | 0.701492i | \(0.752518\pi\) | |||||||
\(4\) | 1.93489 | − | 0.506153i | 0.967446 | − | 0.253076i | ||||
\(5\) | −2.11953 | + | 0.712450i | −0.947883 | + | 0.318617i | ||||
\(6\) | 0.832946 | + | 1.21969i | 0.340049 | + | 0.497936i | ||||
\(7\) | −0.707107 | − | 0.707107i | −0.267261 | − | 0.267261i | ||||
\(8\) | 2.62267 | − | 1.05906i | 0.927253 | − | 0.374436i | ||||
\(9\) | 1.12225 | − | 1.54464i | 0.374082 | − | 0.514880i | ||||
\(10\) | −2.84443 | + | 1.38174i | −0.899488 | + | 0.436945i | ||||
\(11\) | 2.90711 | + | 4.00129i | 0.876527 | + | 1.20644i | 0.977371 | + | 0.211533i | \(0.0678456\pi\) |
−0.100844 | + | 0.994902i | \(0.532154\pi\) | |||||||
\(12\) | 1.38840 | + | 1.56052i | 0.400797 | + | 0.450484i | ||||
\(13\) | 0.496662 | + | 3.13580i | 0.137749 | + | 0.869714i | 0.955682 | + | 0.294401i | \(0.0951200\pi\) |
−0.817933 | + | 0.575314i | \(0.804880\pi\) | |||||||
\(14\) | −1.11941 | − | 0.864247i | −0.299175 | − | 0.230980i | ||||
\(15\) | −1.66792 | − | 1.63452i | −0.430654 | − | 0.422032i | ||||
\(16\) | 3.48762 | − | 1.95870i | 0.871905 | − | 0.489676i | ||||
\(17\) | 4.14186 | + | 2.11038i | 1.00455 | + | 0.511843i | 0.877256 | − | 0.480023i | \(-0.159372\pi\) |
0.127291 | + | 0.991865i | \(0.459372\pi\) | |||||||
\(18\) | 1.29543 | − | 2.36908i | 0.305336 | − | 0.558398i | ||||
\(19\) | 0.918951 | + | 2.82824i | 0.210822 | + | 0.648843i | 0.999424 | + | 0.0339390i | \(0.0108052\pi\) |
−0.788602 | + | 0.614904i | \(0.789195\pi\) | |||||||
\(20\) | −3.74046 | + | 2.45132i | −0.836392 | + | 0.548132i | ||||
\(21\) | 0.322730 | − | 0.993261i | 0.0704255 | − | 0.216747i | ||||
\(22\) | 4.79962 | + | 5.08792i | 1.02328 | + | 1.08475i | ||||
\(23\) | 0.437135 | − | 2.75996i | 0.0911489 | − | 0.575492i | −0.899270 | − | 0.437394i | \(-0.855901\pi\) |
0.990419 | − | 0.138097i | \(-0.0440986\pi\) | |||||||
\(24\) | 2.22901 | + | 1.93837i | 0.454995 | + | 0.395668i | ||||
\(25\) | 3.98483 | − | 3.02012i | 0.796966 | − | 0.604024i | ||||
\(26\) | 1.26243 | + | 4.30884i | 0.247582 | + | 0.845033i | ||||
\(27\) | 5.06401 | + | 0.802060i | 0.974569 | + | 0.154357i | ||||
\(28\) | −1.72608 | − | 1.01027i | −0.326198 | − | 0.190923i | ||||
\(29\) | −10.1850 | − | 3.30931i | −1.89131 | − | 0.614524i | −0.978541 | − | 0.206051i | \(-0.933939\pi\) |
−0.912770 | − | 0.408474i | \(-0.866061\pi\) | |||||||
\(30\) | −2.63442 | − | 1.99174i | −0.480978 | − | 0.363640i | ||||
\(31\) | 0.809846 | − | 0.263135i | 0.145453 | − | 0.0472604i | −0.235386 | − | 0.971902i | \(-0.575635\pi\) |
0.380838 | + | 0.924642i | \(0.375635\pi\) | |||||||
\(32\) | 4.53853 | − | 3.37665i | 0.802307 | − | 0.596912i | ||||
\(33\) | −2.34502 | + | 4.60236i | −0.408216 | + | 0.801168i | ||||
\(34\) | 6.19037 | + | 2.21284i | 1.06164 | + | 0.379499i | ||||
\(35\) | 2.00251 | + | 0.994957i | 0.338487 | + | 0.168178i | ||||
\(36\) | 1.38960 | − | 3.55674i | 0.231600 | − | 0.592790i | ||||
\(37\) | −6.51368 | + | 1.03167i | −1.07084 | + | 0.169605i | −0.666876 | − | 0.745169i | \(-0.732369\pi\) |
−0.403967 | + | 0.914774i | \(0.632369\pi\) | |||||||
\(38\) | 1.79926 | + | 3.80125i | 0.291879 | + | 0.616644i | ||||
\(39\) | −2.68252 | + | 1.94896i | −0.429547 | + | 0.312084i | ||||
\(40\) | −4.80430 | + | 4.11324i | −0.759626 | + | 0.650360i | ||||
\(41\) | −6.30605 | − | 4.58162i | −0.984840 | − | 0.715528i | −0.0260550 | − | 0.999661i | \(-0.508294\pi\) |
−0.958785 | + | 0.284132i | \(0.908294\pi\) | |||||||
\(42\) | 0.273469 | − | 1.45143i | 0.0421972 | − | 0.223961i | ||||
\(43\) | 3.69854 | − | 3.69854i | 0.564021 | − | 0.564021i | −0.366426 | − | 0.930447i | \(-0.619419\pi\) |
0.930447 | + | 0.366426i | \(0.119419\pi\) | |||||||
\(44\) | 7.65021 | + | 6.27063i | 1.15331 | + | 0.945333i | ||||
\(45\) | −1.27816 | + | 4.07345i | −0.190536 | + | 0.607235i | ||||
\(46\) | 0.115180 | − | 3.95015i | 0.0169824 | − | 0.582418i | ||||
\(47\) | 5.32712 | − | 2.71430i | 0.777040 | − | 0.395922i | −0.0200372 | − | 0.999799i | \(-0.506378\pi\) |
0.797077 | + | 0.603878i | \(0.206378\pi\) | |||||||
\(48\) | 3.47627 | + | 2.31670i | 0.501757 | + | 0.334386i | ||||
\(49\) | 1.00000i | 0.142857i | ||||||||
\(50\) | 5.04444 | − | 4.95516i | 0.713391 | − | 0.700766i | ||||
\(51\) | 4.85480i | 0.679807i | ||||||||
\(52\) | 2.54818 | + | 5.81605i | 0.353369 | + | 0.806541i | ||||
\(53\) | −4.52880 | + | 2.30754i | −0.622079 | + | 0.316965i | −0.736469 | − | 0.676471i | \(-0.763508\pi\) |
0.114391 | + | 0.993436i | \(0.463508\pi\) | |||||||
\(54\) | 7.24778 | + | 0.211334i | 0.986298 | + | 0.0287590i | ||||
\(55\) | −9.01243 | − | 6.40970i | −1.21524 | − | 0.864283i | ||||
\(56\) | −2.60338 | − | 1.10563i | −0.347891 | − | 0.147747i | ||||
\(57\) | −2.19610 | + | 2.19610i | −0.290880 | + | 0.290880i | ||||
\(58\) | −14.8832 | − | 2.80419i | −1.95426 | − | 0.368208i | ||||
\(59\) | −8.03360 | − | 5.83675i | −1.04589 | − | 0.759880i | −0.0744595 | − | 0.997224i | \(-0.523723\pi\) |
−0.971426 | + | 0.237344i | \(0.923723\pi\) | |||||||
\(60\) | −4.05456 | − | 2.31841i | −0.523441 | − | 0.299305i | ||||
\(61\) | −9.64484 | + | 7.00739i | −1.23490 | + | 0.897204i | −0.997247 | − | 0.0741474i | \(-0.976376\pi\) |
−0.237648 | + | 0.971351i | \(0.576376\pi\) | |||||||
\(62\) | 1.08846 | − | 0.515205i | 0.138234 | − | 0.0654312i | ||||
\(63\) | −1.88577 | + | 0.298677i | −0.237585 | + | 0.0376298i | ||||
\(64\) | 5.75677 | − | 5.55515i | 0.719596 | − | 0.694393i | ||||
\(65\) | −3.28679 | − | 6.29258i | −0.407676 | − | 0.780498i | ||||
\(66\) | −2.45887 | + | 6.87864i | −0.302666 | + | 0.846701i | ||||
\(67\) | −1.64183 | + | 3.22227i | −0.200581 | + | 0.393663i | −0.969284 | − | 0.245943i | \(-0.920902\pi\) |
0.768703 | + | 0.639606i | \(0.220902\pi\) | |||||||
\(68\) | 9.08222 | + | 1.98695i | 1.10138 | + | 0.240953i | ||||
\(69\) | 2.77553 | − | 0.901825i | 0.334135 | − | 0.108567i | ||||
\(70\) | 2.98836 | + | 1.03428i | 0.357177 | + | 0.123620i | ||||
\(71\) | 4.99404 | + | 1.62266i | 0.592683 | + | 0.192574i | 0.589974 | − | 0.807422i | \(-0.299138\pi\) |
0.00270861 | + | 0.999996i | \(0.499138\pi\) | |||||||
\(72\) | 1.30741 | − | 5.23960i | 0.154079 | − | 0.617493i | ||||
\(73\) | 7.69140 | + | 1.21820i | 0.900210 | + | 0.142579i | 0.589351 | − | 0.807877i | \(-0.299383\pi\) |
0.310859 | + | 0.950456i | \(0.399383\pi\) | |||||||
\(74\) | −8.95032 | + | 2.62231i | −1.04045 | + | 0.304838i | ||||
\(75\) | 4.69972 | + | 2.27612i | 0.542677 | + | 0.262823i | ||||
\(76\) | 3.20959 | + | 5.00721i | 0.368166 | + | 0.574367i | ||||
\(77\) | 0.773705 | − | 4.88498i | 0.0881718 | − | 0.556695i | ||||
\(78\) | −3.41101 | + | 3.21773i | −0.386221 | + | 0.364336i | ||||
\(79\) | 4.42396 | − | 13.6155i | 0.497734 | − | 1.53187i | −0.314917 | − | 0.949119i | \(-0.601977\pi\) |
0.812652 | − | 0.582750i | \(-0.198023\pi\) | |||||||
\(80\) | −5.99664 | + | 6.63629i | −0.670445 | + | 0.741959i | ||||
\(81\) | −0.115319 | − | 0.354915i | −0.0128132 | − | 0.0394350i | ||||
\(82\) | −9.67187 | − | 5.28866i | −1.06808 | − | 0.584034i | ||||
\(83\) | −11.3800 | − | 5.79841i | −1.24912 | − | 0.636459i | −0.300774 | − | 0.953695i | \(-0.597245\pi\) |
−0.948346 | + | 0.317237i | \(0.897245\pi\) | |||||||
\(84\) | 0.121706 | − | 2.08520i | 0.0132792 | − | 0.227514i | ||||
\(85\) | −10.2823 | − | 1.52215i | −1.11528 | − | 0.165101i | ||||
\(86\) | 4.52046 | − | 5.85509i | 0.487454 | − | 0.631371i | ||||
\(87\) | −1.74963 | − | 11.0467i | −0.187580 | − | 1.18433i | ||||
\(88\) | 11.8620 | + | 7.41524i | 1.26449 | + | 0.790468i | ||||
\(89\) | −6.47855 | − | 8.91696i | −0.686725 | − | 0.945195i | 0.313265 | − | 0.949666i | \(-0.398577\pi\) |
−0.999990 | + | 0.00447022i | \(0.998577\pi\) | |||||||
\(90\) | −1.05786 | + | 5.94427i | −0.111508 | + | 0.626581i | ||||
\(91\) | 1.86615 | − | 2.56854i | 0.195626 | − | 0.269256i | ||||
\(92\) | −0.551153 | − | 5.56148i | −0.0574616 | − | 0.579825i | ||||
\(93\) | 0.628837 | + | 0.628837i | 0.0652073 | + | 0.0652073i | ||||
\(94\) | 6.98238 | − | 4.76839i | 0.720178 | − | 0.491821i | ||||
\(95\) | −3.96273 | − | 5.33984i | −0.406567 | − | 0.547856i | ||||
\(96\) | 5.29401 | + | 2.62232i | 0.540318 | + | 0.267639i | ||||
\(97\) | −6.70075 | − | 13.1510i | −0.680358 | − | 1.33528i | −0.930222 | − | 0.366997i | \(-0.880386\pi\) |
0.249864 | − | 0.968281i | \(-0.419614\pi\) | |||||||
\(98\) | 0.180426 | + | 1.40266i | 0.0182258 | + | 0.141690i | ||||
\(99\) | 9.44304 | 0.949062 | ||||||||
\(100\) | 6.18157 | − | 7.86054i | 0.618157 | − | 0.786054i | ||||
\(101\) | 1.76447 | 0.175571 | 0.0877855 | − | 0.996139i | \(-0.472021\pi\) | ||||
0.0877855 | + | 0.996139i | \(0.472021\pi\) | |||||||
\(102\) | 0.875933 | + | 6.80961i | 0.0867303 | + | 0.674252i | ||||
\(103\) | 5.02712 | + | 9.86628i | 0.495337 | + | 0.972153i | 0.994409 | + | 0.105593i | \(0.0336741\pi\) |
−0.499073 | + | 0.866560i | \(0.666326\pi\) | |||||||
\(104\) | 4.62359 | + | 7.69816i | 0.453381 | + | 0.754867i | ||||
\(105\) | 0.0236124 | + | 2.33518i | 0.00230433 | + | 0.227890i | ||||
\(106\) | −5.93602 | + | 4.05380i | −0.576557 | + | 0.393740i | ||||
\(107\) | 11.5453 | + | 11.5453i | 1.11613 | + | 1.11613i | 0.992304 | + | 0.123826i | \(0.0395166\pi\) |
0.123826 | + | 0.992304i | \(0.460483\pi\) | |||||||
\(108\) | 10.2043 | − | 1.01126i | 0.981907 | − | 0.0973087i | ||||
\(109\) | 8.18916 | − | 11.2714i | 0.784379 | − | 1.07961i | −0.210406 | − | 0.977614i | \(-0.567479\pi\) |
0.994785 | − | 0.101991i | \(-0.0325214\pi\) | |||||||
\(110\) | −13.7978 | − | 7.36453i | −1.31557 | − | 0.702180i | ||||
\(111\) | −4.04839 | − | 5.57213i | −0.384256 | − | 0.528883i | ||||
\(112\) | −3.85113 | − | 1.08111i | −0.363898 | − | 0.102155i | ||||
\(113\) | 1.75781 | + | 11.0984i | 0.165361 | + | 1.04405i | 0.921143 | + | 0.389225i | \(0.127257\pi\) |
−0.755782 | + | 0.654824i | \(0.772743\pi\) | |||||||
\(114\) | −2.68414 | + | 3.47661i | −0.251393 | + | 0.325614i | ||||
\(115\) | 1.03981 | + | 6.16126i | 0.0969631 | + | 0.574541i | ||||
\(116\) | −21.3819 | − | 1.24799i | −1.98526 | − | 0.115873i | ||||
\(117\) | 5.40105 | + | 2.75197i | 0.499328 | + | 0.254420i | ||||
\(118\) | −12.3215 | − | 6.73748i | −1.13428 | − | 0.620236i | ||||
\(119\) | −1.43647 | − | 4.42100i | −0.131681 | − | 0.405272i | ||||
\(120\) | −6.10545 | − | 2.52038i | −0.557349 | − | 0.230078i | ||||
\(121\) | −4.15987 | + | 12.8028i | −0.378170 | + | 1.16389i | ||||
\(122\) | −12.2641 | + | 11.5691i | −1.11034 | + | 1.04742i | ||||
\(123\) | 1.27347 | − | 8.04039i | 0.114825 | − | 0.724977i | ||||
\(124\) | 1.43378 | − | 0.919043i | 0.128757 | − | 0.0825325i | ||||
\(125\) | −6.29429 | + | 9.24024i | −0.562978 | + | 0.826472i | ||||
\(126\) | −2.59120 | + | 0.759184i | −0.230843 | + | 0.0676335i | ||||
\(127\) | 16.8396 | + | 2.66713i | 1.49427 | + | 0.236669i | 0.849452 | − | 0.527666i | \(-0.176933\pi\) |
0.644819 | + | 0.764335i | \(0.276933\pi\) | |||||||
\(128\) | 7.07247 | − | 8.83064i | 0.625124 | − | 0.780525i | ||||
\(129\) | 5.19527 | + | 1.68805i | 0.457418 | + | 0.148624i | ||||
\(130\) | −5.74559 | − | 8.23331i | −0.503921 | − | 0.722109i | ||||
\(131\) | −12.4220 | + | 4.03617i | −1.08532 | + | 0.352641i | −0.796436 | − | 0.604723i | \(-0.793284\pi\) |
−0.288883 | + | 0.957364i | \(0.593284\pi\) | |||||||
\(132\) | −2.20786 | + | 10.0920i | −0.192170 | + | 0.878397i | ||||
\(133\) | 1.35007 | − | 2.64966i | 0.117066 | − | 0.229755i | ||||
\(134\) | −1.72154 | + | 4.81596i | −0.148718 | + | 0.416036i | ||||
\(135\) | −11.3048 | + | 1.90786i | −0.972959 | + | 0.164203i | ||||
\(136\) | 13.0977 | + | 1.14834i | 1.12312 | + | 0.0984689i | ||||
\(137\) | −16.8450 | + | 2.66798i | −1.43916 | + | 0.227941i | −0.826738 | − | 0.562587i | \(-0.809806\pi\) |
−0.612426 | + | 0.790528i | \(0.709806\pi\) | |||||||
\(138\) | 3.73041 | − | 1.76573i | 0.317553 | − | 0.150309i | ||||
\(139\) | 5.03629 | − | 3.65908i | 0.427173 | − | 0.310359i | −0.353345 | − | 0.935493i | \(-0.614956\pi\) |
0.780517 | + | 0.625134i | \(0.214956\pi\) | |||||||
\(140\) | 4.37825 | + | 0.911557i | 0.370030 | + | 0.0770406i | ||||
\(141\) | 5.05156 | + | 3.67018i | 0.425418 | + | 0.309085i | ||||
\(142\) | 7.29769 | + | 1.37498i | 0.612409 | + | 0.115386i | ||||
\(143\) | −11.1034 | + | 11.1034i | −0.928513 | + | 0.928513i | ||||
\(144\) | 0.888478 | − | 7.58526i | 0.0740398 | − | 0.632105i | ||||
\(145\) | 23.9452 | − | 0.242124i | 1.98854 | − | 0.0201073i | ||||
\(146\) | 11.0082 | + | 0.320982i | 0.911044 | + | 0.0265647i | ||||
\(147\) | −0.930546 | + | 0.474137i | −0.0767501 | + | 0.0391061i | ||||
\(148\) | −12.0811 | + | 5.29308i | −0.993060 | + | 0.435089i | ||||
\(149\) | − | 0.850989i | − | 0.0697157i | −0.999392 | − | 0.0348579i | \(-0.988902\pi\) | ||
0.999392 | − | 0.0348579i | \(-0.0110979\pi\) | |||||||
\(150\) | 7.00276 | + | 2.34466i | 0.571773 | + | 0.191440i | ||||
\(151\) | − | 1.04621i | − | 0.0851391i | −0.999094 | − | 0.0425695i | \(-0.986446\pi\) | ||
0.999094 | − | 0.0425695i | \(-0.0135544\pi\) | |||||||
\(152\) | 5.40539 | + | 6.44430i | 0.438435 | + | 0.522702i | ||||
\(153\) | 7.90796 | − | 4.02930i | 0.639320 | − | 0.325750i | ||||
\(154\) | 0.203863 | − | 6.99155i | 0.0164277 | − | 0.563395i | ||||
\(155\) | −1.52902 | + | 1.13470i | −0.122814 | + | 0.0911411i | ||||
\(156\) | −4.20391 | + | 5.12880i | −0.336583 | + | 0.410633i | ||||
\(157\) | 6.79944 | − | 6.79944i | 0.542654 | − | 0.542654i | −0.381652 | − | 0.924306i | \(-0.624645\pi\) |
0.924306 | + | 0.381652i | \(0.124645\pi\) | |||||||
\(158\) | 3.74869 | − | 19.8961i | 0.298230 | − | 1.58285i | ||||
\(159\) | −4.29454 | − | 3.12017i | −0.340580 | − | 0.247446i | ||||
\(160\) | −7.21387 | + | 10.3904i | −0.570306 | + | 0.821432i | ||||
\(161\) | −2.26069 | + | 1.64249i | −0.178167 | + | 0.129446i | ||||
\(162\) | −0.225789 | − | 0.477017i | −0.0177396 | − | 0.0374780i | ||||
\(163\) | −13.0997 | + | 2.07479i | −1.02605 | + | 0.162510i | −0.646700 | − | 0.762745i | \(-0.723851\pi\) |
−0.379347 | + | 0.925255i | \(0.623851\pi\) | |||||||
\(164\) | −14.5205 | − | 5.67311i | −1.13386 | − | 0.442995i | ||||
\(165\) | 1.69139 | − | 11.4256i | 0.131675 | − | 0.889478i | ||||
\(166\) | −17.0085 | − | 6.07993i | −1.32011 | − | 0.471894i | ||||
\(167\) | −1.61883 | + | 3.17712i | −0.125268 | + | 0.245853i | −0.945120 | − | 0.326722i | \(-0.894056\pi\) |
0.819852 | + | 0.572576i | \(0.194056\pi\) | |||||||
\(168\) | −0.205514 | − | 2.94678i | −0.0158557 | − | 0.227349i | ||||
\(169\) | 2.77717 | − | 0.902357i | 0.213628 | − | 0.0694121i | ||||
\(170\) | −14.6972 | − | 0.279854i | −1.12723 | − | 0.0214638i | ||||
\(171\) | 5.39990 | + | 1.75453i | 0.412941 | + | 0.134173i | ||||
\(172\) | 5.28425 | − | 9.02829i | 0.402920 | − | 0.688401i | ||||
\(173\) | 5.22649 | + | 0.827795i | 0.397363 | + | 0.0629361i | 0.351918 | − | 0.936031i | \(-0.385530\pi\) |
0.0454446 | + | 0.998967i | \(0.485530\pi\) | |||||||
\(174\) | −4.44724 | − | 15.1791i | −0.337144 | − | 1.15072i | ||||
\(175\) | −4.95325 | − | 0.682152i | −0.374430 | − | 0.0515658i | ||||
\(176\) | 17.9762 | + | 8.26082i | 1.35501 | + | 0.622683i | ||||
\(177\) | 1.62234 | − | 10.2430i | 0.121943 | − | 0.769915i | ||||
\(178\) | −10.6960 | − | 11.3385i | −0.801702 | − | 0.849859i | ||||
\(179\) | 2.49036 | − | 7.66453i | 0.186138 | − | 0.572874i | −0.813828 | − | 0.581106i | \(-0.802620\pi\) |
0.999966 | + | 0.00823187i | \(0.00262032\pi\) | |||||||
\(180\) | −0.411307 | + | 8.52864i | −0.0306570 | + | 0.635687i | ||||
\(181\) | −0.858651 | − | 2.64266i | −0.0638230 | − | 0.196427i | 0.914060 | − | 0.405578i | \(-0.132930\pi\) |
−0.977883 | + | 0.209151i | \(0.932930\pi\) | |||||||
\(182\) | 2.15414 | − | 3.93948i | 0.159675 | − | 0.292014i | ||||
\(183\) | −11.0937 | − | 5.65251i | −0.820068 | − | 0.417845i | ||||
\(184\) | −1.77652 | − | 7.70141i | −0.130967 | − | 0.567756i | ||||
\(185\) | 13.0709 | − | 6.82732i | 0.960995 | − | 0.501955i | ||||
\(186\) | 0.995501 | + | 0.768583i | 0.0729937 | + | 0.0563553i | ||||
\(187\) | 3.59658 | + | 22.7079i | 0.263008 | + | 1.66057i | ||||
\(188\) | 8.93355 | − | 7.94822i | 0.651546 | − | 0.579683i | ||||
\(189\) | −3.01365 | − | 4.14794i | −0.219211 | − | 0.301718i | ||||
\(190\) | −6.52179 | − | 6.77498i | −0.473141 | − | 0.491509i | ||||
\(191\) | −12.3017 | + | 16.9318i | −0.890117 | + | 1.22514i | 0.0833971 | + | 0.996516i | \(0.473423\pi\) |
−0.973515 | + | 0.228625i | \(0.926577\pi\) | |||||||
\(192\) | 7.89881 | + | 2.72304i | 0.570048 | + | 0.196518i | ||||
\(193\) | −1.92666 | − | 1.92666i | −0.138684 | − | 0.138684i | 0.634357 | − | 0.773041i | \(-0.281265\pi\) |
−0.773041 | + | 0.634357i | \(0.781265\pi\) | |||||||
\(194\) | −11.7716 | − | 17.2373i | −0.845154 | − | 1.23757i | ||||
\(195\) | 4.29715 | − | 6.04205i | 0.307725 | − | 0.432681i | ||||
\(196\) | 0.506153 | + | 1.93489i | 0.0361538 | + | 0.138207i | ||||
\(197\) | −6.11348 | − | 11.9984i | −0.435567 | − | 0.854849i | −0.999577 | − | 0.0290809i | \(-0.990742\pi\) |
0.564010 | − | 0.825768i | \(-0.309258\pi\) | |||||||
\(198\) | 13.2454 | − | 1.70377i | 0.941306 | − | 0.121082i | ||||
\(199\) | −19.0012 | −1.34696 | −0.673479 | − | 0.739206i | \(-0.735201\pi\) | ||||
−0.673479 | + | 0.739206i | \(0.735201\pi\) | |||||||
\(200\) | 7.25238 | − | 12.1410i | 0.512821 | − | 0.858496i | ||||
\(201\) | −3.77692 | −0.266403 | ||||||||
\(202\) | 2.47494 | − | 0.318356i | 0.174136 | − | 0.0223995i | ||||
\(203\) | 4.86186 | + | 9.54194i | 0.341236 | + | 0.669713i | ||||
\(204\) | 2.45727 | + | 9.39351i | 0.172043 | + | 0.657677i | ||||
\(205\) | 16.6301 | + | 5.21813i | 1.16149 | + | 0.364450i | ||||
\(206\) | 8.83146 | + | 12.9320i | 0.615317 | + | 0.901014i | ||||
\(207\) | −3.77257 | − | 3.77257i | −0.262212 | − | 0.262212i | ||||
\(208\) | 7.87426 | + | 9.96366i | 0.545982 | + | 0.690856i | ||||
\(209\) | −8.64513 | + | 11.8990i | −0.597996 | + | 0.823071i | ||||
\(210\) | 0.454448 | + | 3.27119i | 0.0313599 | + | 0.225734i | ||||
\(211\) | 3.13179 | + | 4.31054i | 0.215601 | + | 0.296750i | 0.903095 | − | 0.429440i | \(-0.141289\pi\) |
−0.687494 | + | 0.726190i | \(0.741289\pi\) | |||||||
\(212\) | −7.59478 | + | 6.75711i | −0.521612 | + | 0.464080i | ||||
\(213\) | 0.857896 | + | 5.41654i | 0.0587821 | + | 0.371135i | ||||
\(214\) | 18.2772 | + | 14.1111i | 1.24941 | + | 0.964613i | ||||
\(215\) | −5.20414 | + | 10.4742i | −0.354919 | + | 0.714334i | ||||
\(216\) | 14.1306 | − | 3.25957i | 0.961469 | − | 0.221786i | ||||
\(217\) | −0.758712 | − | 0.386583i | −0.0515047 | − | 0.0262430i | ||||
\(218\) | 9.45292 | − | 17.2875i | 0.640233 | − | 1.17085i | ||||
\(219\) | 2.51319 | + | 7.73479i | 0.169825 | + | 0.522669i | ||||
\(220\) | −20.6824 | − | 7.84041i | −1.39441 | − | 0.528600i | ||||
\(221\) | −4.56063 | + | 14.0362i | −0.306781 | + | 0.944175i | ||||
\(222\) | −6.68386 | − | 7.08535i | −0.448591 | − | 0.475538i | ||||
\(223\) | 2.68718 | − | 16.9662i | 0.179947 | − | 1.13614i | −0.718003 | − | 0.696040i | \(-0.754943\pi\) |
0.897949 | − | 0.440099i | \(-0.145057\pi\) | |||||||
\(224\) | −5.59688 | − | 0.821577i | −0.373957 | − | 0.0548939i | ||||
\(225\) | −0.193039 | − | 9.54444i | −0.0128693 | − | 0.636296i | ||||
\(226\) | 4.46805 | + | 15.2501i | 0.297210 | + | 1.01442i | ||||
\(227\) | 2.32426 | + | 0.368126i | 0.154266 | + | 0.0244334i | 0.233090 | − | 0.972455i | \(-0.425116\pi\) |
−0.0788235 | + | 0.996889i | \(0.525116\pi\) | |||||||
\(228\) | −3.13765 | + | 5.36078i | −0.207796 | + | 0.355026i | ||||
\(229\) | 6.51506 | + | 2.11687i | 0.430527 | + | 0.139887i | 0.516261 | − | 0.856431i | \(-0.327323\pi\) |
−0.0857337 | + | 0.996318i | \(0.527323\pi\) | |||||||
\(230\) | 2.57016 | + | 8.45452i | 0.169471 | + | 0.557475i | ||||
\(231\) | 4.91254 | − | 1.59618i | 0.323221 | − | 0.105021i | ||||
\(232\) | −30.2167 | + | 2.10736i | −1.98382 | + | 0.138355i | ||||
\(233\) | −6.52560 | + | 12.8072i | −0.427506 | + | 0.839028i | 0.572313 | + | 0.820035i | \(0.306046\pi\) |
−0.999820 | + | 0.0189933i | \(0.993954\pi\) | |||||||
\(234\) | 8.07235 | + | 2.88558i | 0.527706 | + | 0.188636i | ||||
\(235\) | −9.35719 | + | 9.54835i | −0.610396 | + | 0.622866i | ||||
\(236\) | −18.4984 | − | 7.22726i | −1.20415 | − | 0.470454i | ||||
\(237\) | 14.7675 | − | 2.33894i | 0.959249 | − | 0.151930i | ||||
\(238\) | −2.81254 | − | 5.94197i | −0.182310 | − | 0.385161i | ||||
\(239\) | −18.0580 | + | 13.1199i | −1.16807 | + | 0.848655i | −0.990777 | − | 0.135502i | \(-0.956735\pi\) |
−0.177297 | + | 0.984157i | \(0.556735\pi\) | |||||||
\(240\) | −9.01860 | − | 2.43364i | −0.582148 | − | 0.157091i | ||||
\(241\) | −8.06107 | − | 5.85671i | −0.519259 | − | 0.377264i | 0.297065 | − | 0.954857i | \(-0.403992\pi\) |
−0.816325 | + | 0.577593i | \(0.803992\pi\) | |||||||
\(242\) | −3.52492 | + | 18.7085i | −0.226590 | + | 1.20263i | ||||
\(243\) | 11.1519 | − | 11.1519i | 0.715393 | − | 0.715393i | ||||
\(244\) | −15.1149 | + | 18.4403i | −0.967634 | + | 1.18052i | ||||
\(245\) | −0.712450 | − | 2.11953i | −0.0455168 | − | 0.135412i | ||||
\(246\) | 0.335546 | − | 11.5077i | 0.0213937 | − | 0.733702i | ||||
\(247\) | −8.41239 | + | 4.28632i | −0.535267 | + | 0.272732i | ||||
\(248\) | 1.84528 | − | 1.54779i | 0.117175 | − | 0.0982850i | ||||
\(249\) | − | 13.3389i | − | 0.845317i | ||||||
\(250\) | −7.16154 | + | 14.0965i | −0.452936 | + | 0.891543i | ||||
\(251\) | − | 6.94262i | − | 0.438214i | −0.975701 | − | 0.219107i | \(-0.929686\pi\) | ||
0.975701 | − | 0.219107i | \(-0.0703144\pi\) | |||||||
\(252\) | −3.49759 | + | 1.53240i | −0.220327 | + | 0.0965319i | ||||
\(253\) | 12.3142 | − | 6.27440i | 0.774188 | − | 0.394468i | ||||
\(254\) | 24.1014 | + | 0.702760i | 1.51225 | + | 0.0440951i | ||||
\(255\) | −3.45880 | − | 10.2899i | −0.216598 | − | 0.644378i | ||||
\(256\) | 8.32697 | − | 13.6624i | 0.520436 | − | 0.853901i | ||||
\(257\) | −4.93726 | + | 4.93726i | −0.307978 | + | 0.307978i | −0.844125 | − | 0.536147i | \(-0.819879\pi\) |
0.536147 | + | 0.844125i | \(0.319879\pi\) | |||||||
\(258\) | 7.59175 | + | 1.43038i | 0.472642 | + | 0.0890519i | ||||
\(259\) | 5.33537 | + | 3.87637i | 0.331524 | + | 0.240866i | ||||
\(260\) | −9.54459 | − | 10.5118i | −0.591931 | − | 0.651917i | ||||
\(261\) | −16.5418 | + | 12.0183i | −1.02391 | + | 0.743915i | ||||
\(262\) | −16.6956 | + | 7.90262i | −1.03146 | + | 0.488226i | ||||
\(263\) | 13.7851 | − | 2.18334i | 0.850025 | − | 0.134631i | 0.283802 | − | 0.958883i | \(-0.408404\pi\) |
0.566223 | + | 0.824252i | \(0.308404\pi\) | |||||||
\(264\) | −1.27601 | + | 14.5540i | −0.0785330 | + | 0.895736i | ||||
\(265\) | 7.95493 | − | 8.11745i | 0.488668 | − | 0.498651i | ||||
\(266\) | 1.41562 | − | 3.96016i | 0.0867971 | − | 0.242813i | ||||
\(267\) | 5.22592 | − | 10.2564i | 0.319821 | − | 0.627684i | ||||
\(268\) | −1.54580 | + | 7.06576i | −0.0944248 | + | 0.431610i | ||||
\(269\) | −10.3880 | + | 3.37526i | −0.633366 | + | 0.205793i | −0.608066 | − | 0.793887i | \(-0.708054\pi\) |
−0.0253005 | + | 0.999680i | \(0.508054\pi\) | |||||||
\(270\) | −15.5125 | + | 4.71575i | −0.944059 | + | 0.286992i | ||||
\(271\) | 2.60785 | + | 0.847342i | 0.158416 | + | 0.0514723i | 0.387151 | − | 0.922016i | \(-0.373459\pi\) |
−0.228736 | + | 0.973489i | \(0.573459\pi\) | |||||||
\(272\) | 18.5788 | − | 0.752457i | 1.12651 | − | 0.0456244i | ||||
\(273\) | 3.27495 | + | 0.518702i | 0.198209 | + | 0.0313933i | ||||
\(274\) | −23.1464 | + | 6.78154i | −1.39832 | + | 0.409688i | ||||
\(275\) | 23.6687 | + | 7.16465i | 1.42728 | + | 0.432044i | ||||
\(276\) | 4.91389 | − | 3.14978i | 0.295782 | − | 0.189594i | ||||
\(277\) | −0.448302 | + | 2.83047i | −0.0269359 | + | 0.170066i | −0.997489 | − | 0.0708204i | \(-0.977438\pi\) |
0.970553 | + | 0.240887i | \(0.0774383\pi\) | |||||||
\(278\) | 6.40399 | − | 6.04111i | 0.384086 | − | 0.362322i | ||||
\(279\) | 0.502398 | − | 1.54622i | 0.0300778 | − | 0.0925698i | ||||
\(280\) | 6.30565 | + | 0.488650i | 0.376835 | + | 0.0292024i | ||||
\(281\) | 0.957129 | + | 2.94574i | 0.0570975 | + | 0.175728i | 0.975538 | − | 0.219831i | \(-0.0705507\pi\) |
−0.918440 | + | 0.395559i | \(0.870551\pi\) | |||||||
\(282\) | 7.74781 | + | 4.23656i | 0.461375 | + | 0.252284i | ||||
\(283\) | 21.3532 | + | 10.8800i | 1.26932 | + | 0.646750i | 0.953306 | − | 0.302006i | \(-0.0976561\pi\) |
0.316012 | + | 0.948755i | \(0.397656\pi\) | |||||||
\(284\) | 10.4842 | + | 0.611929i | 0.622125 | + | 0.0363113i | ||||
\(285\) | 3.09009 | − | 6.21931i | 0.183041 | − | 0.368400i | ||||
\(286\) | −13.5709 | + | 17.5776i | −0.802465 | + | 1.03939i | ||||
\(287\) | 1.21936 | + | 7.69874i | 0.0719766 | + | 0.454443i | ||||
\(288\) | −0.122351 | − | 10.7998i | −0.00720958 | − | 0.636385i | ||||
\(289\) | 2.70891 | + | 3.72849i | 0.159348 | + | 0.219323i | ||||
\(290\) | 33.5432 | − | 4.65996i | 1.96973 | − | 0.273643i | ||||
\(291\) | 9.06050 | − | 12.4707i | 0.531136 | − | 0.731046i | ||||
\(292\) | 15.4986 | − | 1.53594i | 0.906988 | − | 0.0898841i | ||||
\(293\) | 8.98873 | + | 8.98873i | 0.525127 | + | 0.525127i | 0.919116 | − | 0.393988i | \(-0.128905\pi\) |
−0.393988 | + | 0.919116i | \(0.628905\pi\) | |||||||
\(294\) | −1.21969 | + | 0.832946i | −0.0711338 | + | 0.0485784i | ||||
\(295\) | 21.1859 | + | 6.64764i | 1.23349 | + | 0.387040i | ||||
\(296\) | −15.9906 | + | 9.60413i | −0.929436 | + | 0.558228i | ||||
\(297\) | 11.5124 | + | 22.5943i | 0.668015 | + | 1.31105i | ||||
\(298\) | −0.153541 | − | 1.19365i | −0.00889439 | − | 0.0691460i | ||||
\(299\) | 8.87179 | 0.513069 | ||||||||
\(300\) | 10.2455 | + | 2.02527i | 0.591525 | + | 0.116929i | ||||
\(301\) | −5.23052 | −0.301482 | ||||||||
\(302\) | −0.188763 | − | 1.46747i | −0.0108621 | − | 0.0844433i | ||||
\(303\) | 0.836598 | + | 1.64192i | 0.0480613 | + | 0.0943257i | ||||
\(304\) | 8.74463 | + | 8.06387i | 0.501539 | + | 0.462495i | ||||
\(305\) | 15.4501 | − | 21.7238i | 0.884672 | − | 1.24390i | ||||
\(306\) | 10.3652 | − | 7.07854i | 0.592536 | − | 0.404653i | ||||
\(307\) | −21.6665 | − | 21.6665i | −1.23657 | − | 1.23657i | −0.961392 | − | 0.275182i | \(-0.911262\pi\) |
−0.275182 | − | 0.961392i | \(-0.588738\pi\) | |||||||
\(308\) | −0.975510 | − | 9.84352i | −0.0555848 | − | 0.560887i | ||||
\(309\) | −6.79748 | + | 9.35593i | −0.386695 | + | 0.532240i | ||||
\(310\) | −1.93997 | + | 1.86747i | −0.110183 | + | 0.106065i | ||||
\(311\) | 1.89403 | + | 2.60691i | 0.107401 | + | 0.147824i | 0.859334 | − | 0.511415i | \(-0.170878\pi\) |
−0.751933 | + | 0.659239i | \(0.770878\pi\) | |||||||
\(312\) | −4.97128 | + | 7.95245i | −0.281443 | + | 0.450219i | ||||
\(313\) | 3.55692 | + | 22.4575i | 0.201049 | + | 1.26937i | 0.857295 | + | 0.514826i | \(0.172144\pi\) |
−0.656246 | + | 0.754547i | \(0.727856\pi\) | |||||||
\(314\) | 8.31048 | − | 10.7641i | 0.468988 | − | 0.607452i | ||||
\(315\) | 3.78416 | − | 1.97657i | 0.213213 | − | 0.111367i | ||||
\(316\) | 1.66834 | − | 28.5838i | 0.0938515 | − | 1.60797i | ||||
\(317\) | 8.53787 | + | 4.35026i | 0.479535 | + | 0.244335i | 0.677012 | − | 0.735972i | \(-0.263275\pi\) |
−0.197477 | + | 0.980308i | \(0.563275\pi\) | |||||||
\(318\) | −6.58673 | − | 3.60168i | −0.369366 | − | 0.201972i | ||||
\(319\) | −16.3674 | − | 50.3738i | −0.916401 | − | 2.82039i | ||||
\(320\) | −8.24388 | + | 15.8757i | −0.460847 | + | 0.887480i | ||||
\(321\) | −5.26940 | + | 16.2175i | −0.294109 | + | 0.905175i | ||||
\(322\) | −2.87462 | + | 2.71173i | −0.160196 | + | 0.151119i | ||||
\(323\) | −2.16250 | + | 13.6535i | −0.120325 | + | 0.759701i | ||||
\(324\) | −0.402771 | − | 0.628353i | −0.0223761 | − | 0.0349085i | ||||
\(325\) | 11.4496 | + | 10.9956i | 0.635110 | + | 0.609929i | ||||
\(326\) | −18.0000 | + | 5.27374i | −0.996928 | + | 0.292086i | ||||
\(327\) | 14.3713 | + | 2.27620i | 0.794737 | + | 0.125874i | ||||
\(328\) | −21.3909 | − | 5.33754i | −1.18112 | − | 0.294716i | ||||
\(329\) | −5.68614 | − | 1.84754i | −0.313487 | − | 0.101858i | ||||
\(330\) | 0.310969 | − | 16.3313i | 0.0171183 | − | 0.899009i | ||||
\(331\) | −8.03740 | + | 2.61151i | −0.441775 | + | 0.143541i | −0.521455 | − | 0.853279i | \(-0.674610\pi\) |
0.0796793 | + | 0.996821i | \(0.474610\pi\) | |||||||
\(332\) | −24.9540 | − | 5.45928i | −1.36953 | − | 0.299617i | ||||
\(333\) | −5.71640 | + | 11.2191i | −0.313257 | + | 0.614801i | ||||
\(334\) | −1.69742 | + | 4.74849i | −0.0928787 | + | 0.259826i | ||||
\(335\) | 1.18420 | − | 7.99942i | 0.0646998 | − | 0.437055i | ||||
\(336\) | −0.819943 | − | 4.09625i | −0.0447315 | − | 0.223469i | ||||
\(337\) | 5.36278 | − | 0.849380i | 0.292129 | − | 0.0462687i | −0.00864985 | − | 0.999963i | \(-0.502753\pi\) |
0.300779 | + | 0.953694i | \(0.402753\pi\) | |||||||
\(338\) | 3.73261 | − | 1.76677i | 0.203027 | − | 0.0960997i | ||||
\(339\) | −9.49412 | + | 6.89788i | −0.515650 | + | 0.374642i | ||||
\(340\) | −20.6657 | + | 2.25923i | −1.12075 | + | 0.122524i | ||||
\(341\) | 3.40719 | + | 2.47547i | 0.184510 | + | 0.134054i | ||||
\(342\) | 7.89077 | + | 1.48672i | 0.426684 | + | 0.0803928i | ||||
\(343\) | 0.707107 | − | 0.707107i | 0.0381802 | − | 0.0381802i | ||||
\(344\) | 5.78304 | − | 13.6170i | 0.311801 | − | 0.734180i | ||||
\(345\) | −5.24032 | + | 3.88887i | −0.282129 | + | 0.209370i | ||||
\(346\) | 7.48033 | + | 0.218115i | 0.402145 | + | 0.0117259i | ||||
\(347\) | 15.9765 | − | 8.14042i | 0.857662 | − | 0.437001i | 0.0308799 | − | 0.999523i | \(-0.490169\pi\) |
0.826782 | + | 0.562523i | \(0.190169\pi\) | |||||||
\(348\) | −8.97665 | − | 20.4886i | −0.481199 | − | 1.09830i | ||||
\(349\) | − | 28.9339i | − | 1.54880i | −0.632697 | − | 0.774399i | \(-0.718052\pi\) | ||
0.632697 | − | 0.774399i | \(-0.281948\pi\) | |||||||
\(350\) | −7.07079 | − | 0.0631278i | −0.377949 | − | 0.00337432i | ||||
\(351\) | 16.2781i | 0.868859i | ||||||||
\(352\) | 26.7050 | + | 8.34371i | 1.42338 | + | 0.444721i | ||||
\(353\) | 28.2522 | − | 14.3952i | 1.50371 | − | 0.766179i | 0.508238 | − | 0.861217i | \(-0.330297\pi\) |
0.995474 | + | 0.0950375i | \(0.0302971\pi\) | |||||||
\(354\) | 0.427469 | − | 14.6602i | 0.0227197 | − | 0.779181i | ||||
\(355\) | −11.7411 | + | 0.118721i | −0.623152 | + | 0.00630106i | ||||
\(356\) | −17.0486 | − | 13.9742i | −0.903576 | − | 0.740632i | ||||
\(357\) | 3.43286 | − | 3.43286i | 0.181686 | − | 0.181686i | ||||
\(358\) | 2.11023 | − | 11.2000i | 0.111529 | − | 0.591940i | ||||
\(359\) | 17.4960 | + | 12.7116i | 0.923405 | + | 0.670893i | 0.944369 | − | 0.328887i | \(-0.106674\pi\) |
−0.0209643 | + | 0.999780i | \(0.506674\pi\) | |||||||
\(360\) | 0.961869 | + | 12.0370i | 0.0506950 | + | 0.634404i | ||||
\(361\) | 8.21685 | − | 5.96989i | 0.432466 | − | 0.314205i | ||||
\(362\) | −1.68120 | − | 3.55182i | −0.0883618 | − | 0.186679i | ||||
\(363\) | −13.8859 | + | 2.19931i | −0.728822 | + | 0.115434i | ||||
\(364\) | 2.31073 | − | 5.91440i | 0.121115 | − | 0.309999i | ||||
\(365\) | −17.1701 | + | 2.89773i | −0.898722 | + | 0.151674i | ||||
\(366\) | −16.5805 | − | 5.92694i | −0.866675 | − | 0.309806i | ||||
\(367\) | −12.3320 | + | 24.2030i | −0.643727 | + | 1.26338i | 0.306514 | + | 0.951866i | \(0.400838\pi\) |
−0.950240 | + | 0.311518i | \(0.899162\pi\) | |||||||
\(368\) | −3.88138 | − | 10.4819i | −0.202331 | − | 0.546407i | ||||
\(369\) | −14.1539 | + | 4.59888i | −0.736822 | + | 0.239408i | ||||
\(370\) | 17.1022 | − | 11.9347i | 0.889102 | − | 0.620457i | ||||
\(371\) | 4.83402 | + | 1.57067i | 0.250970 | + | 0.0815451i | ||||
\(372\) | 1.53502 | + | 0.898444i | 0.0795870 | + | 0.0465822i | ||||
\(373\) | 22.1373 | + | 3.50620i | 1.14622 | + | 0.181544i | 0.700517 | − | 0.713635i | \(-0.252953\pi\) |
0.445706 | + | 0.895179i | \(0.352953\pi\) | |||||||
\(374\) | 9.14186 | + | 31.2025i | 0.472715 | + | 1.61344i | ||||
\(375\) | −11.5828 | − | 1.47599i | −0.598134 | − | 0.0762196i | ||||
\(376\) | 11.0966 | − | 12.7605i | 0.572265 | − | 0.658071i | ||||
\(377\) | 5.31884 | − | 33.5818i | 0.273934 | − | 1.72955i | ||||
\(378\) | −4.97552 | − | 5.27439i | −0.255913 | − | 0.271285i | ||||
\(379\) | −3.92716 | + | 12.0866i | −0.201725 | + | 0.620845i | 0.798107 | + | 0.602515i | \(0.205835\pi\) |
−0.999832 | + | 0.0183295i | \(0.994165\pi\) | |||||||
\(380\) | −10.3702 | − | 8.32627i | −0.531981 | − | 0.427129i | ||||
\(381\) | 5.50238 | + | 16.9346i | 0.281895 | + | 0.867585i | ||||
\(382\) | −14.2001 | + | 25.9690i | −0.726539 | + | 1.32869i | ||||
\(383\) | 10.6168 | + | 5.40954i | 0.542494 | + | 0.276415i | 0.703689 | − | 0.710508i | \(-0.251535\pi\) |
−0.161195 | + | 0.986923i | \(0.551535\pi\) | |||||||
\(384\) | 11.5706 | + | 2.39433i | 0.590461 | + | 0.122185i | ||||
\(385\) | 1.84041 | + | 10.9051i | 0.0937961 | + | 0.555775i | ||||
\(386\) | −3.05006 | − | 2.35482i | −0.155244 | − | 0.119857i | ||||
\(387\) | −1.56224 | − | 9.86357i | −0.0794129 | − | 0.501393i | ||||
\(388\) | −19.6216 | − | 22.0541i | −0.996137 | − | 1.11963i | ||||
\(389\) | −4.12732 | − | 5.68076i | −0.209263 | − | 0.288026i | 0.691464 | − | 0.722411i | \(-0.256966\pi\) |
−0.900728 | + | 0.434384i | \(0.856966\pi\) | |||||||
\(390\) | 4.93727 | − | 9.25025i | 0.250009 | − | 0.468405i | ||||
\(391\) | 7.63512 | − | 10.5088i | 0.386124 | − | 0.531455i | ||||
\(392\) | 1.05906 | + | 2.62267i | 0.0534908 | + | 0.132465i | ||||
\(393\) | −9.64559 | − | 9.64559i | −0.486555 | − | 0.486555i | ||||
\(394\) | −10.7399 | − | 15.7266i | −0.541070 | − | 0.792293i | ||||
\(395\) | 0.323677 | + | 32.0104i | 0.0162859 | + | 1.61062i | ||||
\(396\) | 18.2713 | − | 4.77962i | 0.918166 | − | 0.240185i | ||||
\(397\) | −3.27178 | − | 6.42124i | −0.164206 | − | 0.322273i | 0.794212 | − | 0.607641i | \(-0.207884\pi\) |
−0.958418 | + | 0.285368i | \(0.907884\pi\) | |||||||
\(398\) | −26.6521 | + | 3.42832i | −1.33595 | + | 0.171846i | ||||
\(399\) | 3.10575 | 0.155482 | ||||||||
\(400\) | 7.98205 | − | 18.3381i | 0.399102 | − | 0.916906i | ||||
\(401\) | −1.46978 | −0.0733973 | −0.0366986 | − | 0.999326i | \(-0.511684\pi\) | ||||
−0.0366986 | + | 0.999326i | \(0.511684\pi\) | |||||||
\(402\) | −5.29772 | + | 0.681456i | −0.264226 | + | 0.0339879i | ||||
\(403\) | 1.22736 | + | 2.40882i | 0.0611390 | + | 0.119992i | ||||
\(404\) | 3.41405 | − | 0.893089i | 0.169855 | − | 0.0444329i | ||||
\(405\) | 0.497281 | + | 0.670094i | 0.0247101 | + | 0.0332973i | ||||
\(406\) | 8.54114 | + | 12.5069i | 0.423890 | + | 0.620705i | ||||
\(407\) | −23.0640 | − | 23.0640i | −1.14324 | − | 1.14324i | ||||
\(408\) | 5.14154 | + | 12.7325i | 0.254544 | + | 0.630353i | ||||
\(409\) | −17.8898 | + | 24.6232i | −0.884593 | + | 1.21754i | 0.0905348 | + | 0.995893i | \(0.471142\pi\) |
−0.975128 | + | 0.221644i | \(0.928858\pi\) | |||||||
\(410\) | 24.2677 | + | 4.31875i | 1.19850 | + | 0.213288i | ||||
\(411\) | −10.4695 | − | 14.4100i | −0.516423 | − | 0.710795i | ||||
\(412\) | 14.7208 | + | 16.5457i | 0.725241 | + | 0.815148i | ||||
\(413\) | 1.55341 | + | 9.80782i | 0.0764381 | + | 0.482611i | ||||
\(414\) | −5.97229 | − | 4.61095i | −0.293522 | − | 0.226616i | ||||
\(415\) | 28.2514 | + | 4.18222i | 1.38681 | + | 0.205297i | ||||
\(416\) | 12.8426 | + | 12.5549i | 0.629660 | + | 0.615553i | ||||
\(417\) | 5.79283 | + | 2.95160i | 0.283676 | + | 0.144540i | ||||
\(418\) | −9.97925 | + | 18.2500i | −0.488101 | + | 0.892638i | ||||
\(419\) | −2.82895 | − | 8.70660i | −0.138203 | − | 0.425345i | 0.857871 | − | 0.513864i | \(-0.171787\pi\) |
−0.996074 | + | 0.0885191i | \(0.971787\pi\) | |||||||
\(420\) | 1.22764 | + | 4.50636i | 0.0599029 | + | 0.219888i | ||||
\(421\) | 6.01190 | − | 18.5027i | 0.293002 | − | 0.901767i | −0.690883 | − | 0.722966i | \(-0.742778\pi\) |
0.983885 | − | 0.178801i | \(-0.0572218\pi\) | |||||||
\(422\) | 5.17057 | + | 5.48115i | 0.251699 | + | 0.266818i | ||||
\(423\) | 1.78572 | − | 11.2746i | 0.0868246 | − | 0.548189i | ||||
\(424\) | −9.43371 | + | 10.8482i | −0.458141 | + | 0.526835i | ||||
\(425\) | 22.8782 | − | 4.09940i | 1.10976 | − | 0.198850i | ||||
\(426\) | 2.18062 | + | 7.44276i | 0.105651 | + | 0.360603i | ||||
\(427\) | 11.7749 | + | 1.86496i | 0.569828 | + | 0.0902518i | ||||
\(428\) | 28.1827 | + | 16.4953i | 1.36226 | + | 0.797330i | ||||
\(429\) | −15.5968 | − | 5.06769i | −0.753019 | − | 0.244671i | ||||
\(430\) | −5.40980 | + | 15.6307i | −0.260884 | + | 0.753777i | ||||
\(431\) | −37.0209 | + | 12.0288i | −1.78323 | + | 0.579408i | −0.999149 | − | 0.0412447i | \(-0.986868\pi\) |
−0.784086 | + | 0.620653i | \(0.786868\pi\) | |||||||
\(432\) | 19.2323 | − | 7.12161i | 0.925316 | − | 0.342638i | ||||
\(433\) | −9.12358 | + | 17.9060i | −0.438451 | + | 0.860509i | 0.561014 | + | 0.827807i | \(0.310412\pi\) |
−0.999465 | + | 0.0327029i | \(0.989588\pi\) | |||||||
\(434\) | −1.13396 | − | 0.405352i | −0.0544319 | − | 0.0194575i | ||||
\(435\) | 11.5786 | + | 22.1673i | 0.555152 | + | 1.06284i | ||||
\(436\) | 10.1401 | − | 25.9539i | 0.485622 | − | 1.24297i | ||||
\(437\) | 8.20754 | − | 1.29995i | 0.392620 | − | 0.0621849i | ||||
\(438\) | 4.92070 | + | 10.3958i | 0.235120 | + | 0.496731i | ||||
\(439\) | 2.56807 | − | 1.86581i | 0.122567 | − | 0.0890503i | −0.524813 | − | 0.851218i | \(-0.675865\pi\) |
0.647380 | + | 0.762167i | \(0.275865\pi\) | |||||||
\(440\) | −30.4249 | − | 7.26576i | −1.45045 | − | 0.346381i | ||||
\(441\) | 1.54464 | + | 1.12225i | 0.0735542 | + | 0.0534403i | ||||
\(442\) | −3.86450 | + | 20.5108i | −0.183816 | + | 0.975599i | ||||
\(443\) | 3.75405 | − | 3.75405i | 0.178361 | − | 0.178361i | −0.612280 | − | 0.790641i | \(-0.709748\pi\) |
0.790641 | + | 0.612280i | \(0.209748\pi\) | |||||||
\(444\) | −10.6535 | − | 8.73237i | −0.505595 | − | 0.414420i | ||||
\(445\) | 20.0844 | + | 14.2841i | 0.952091 | + | 0.677133i | ||||
\(446\) | 0.708043 | − | 24.2826i | 0.0335268 | − | 1.14981i | ||||
\(447\) | 0.791884 | − | 0.403485i | 0.0374548 | − | 0.0190842i | ||||
\(448\) | −7.99873 | − | 0.142567i | −0.377904 | − | 0.00673564i | ||||
\(449\) | 11.7875i | 0.556285i | 0.960540 | + | 0.278143i | \(0.0897188\pi\) | ||||
−0.960540 | + | 0.278143i | \(0.910281\pi\) | |||||||
\(450\) | −1.99284 | − | 13.3527i | −0.0939432 | − | 0.629454i | ||||
\(451\) | − | 38.5516i | − | 1.81533i | ||||||
\(452\) | 9.01866 | + | 20.5845i | 0.424202 | + | 0.968212i | ||||
\(453\) | 0.973543 | − | 0.496045i | 0.0457411 | − | 0.0233062i | ||||
\(454\) | 3.32656 | + | 0.0969973i | 0.156123 | + | 0.00455231i | ||||
\(455\) | −2.12541 | + | 6.77364i | −0.0996409 | + | 0.317553i | ||||
\(456\) | −3.43383 | + | 8.08545i | −0.160804 | + | 0.378636i | ||||
\(457\) | 14.4985 | − | 14.4985i | 0.678212 | − | 0.678212i | −0.281383 | − | 0.959595i | \(-0.590793\pi\) |
0.959595 | + | 0.281383i | \(0.0907933\pi\) | |||||||
\(458\) | 9.52034 | + | 1.79376i | 0.444856 | + | 0.0838167i | ||||
\(459\) | 19.2817 | + | 14.0090i | 0.899995 | + | 0.653884i | ||||
\(460\) | 5.13047 | + | 11.3951i | 0.239209 | + | 0.531298i | ||||
\(461\) | 7.31718 | − | 5.31624i | 0.340795 | − | 0.247602i | −0.404202 | − | 0.914670i | \(-0.632451\pi\) |
0.744997 | + | 0.667068i | \(0.232451\pi\) | |||||||
\(462\) | 6.60261 | − | 3.12525i | 0.307181 | − | 0.145400i | ||||
\(463\) | 30.6755 | − | 4.85853i | 1.42561 | − | 0.225795i | 0.604520 | − | 0.796590i | \(-0.293365\pi\) |
0.821093 | + | 0.570795i | \(0.193365\pi\) | |||||||
\(464\) | −42.0034 | + | 8.40780i | −1.94996 | + | 0.390322i | ||||
\(465\) | −1.78085 | − | 0.884825i | −0.0825851 | − | 0.0410328i | ||||
\(466\) | −6.84242 | + | 19.1415i | −0.316969 | + | 0.886714i | ||||
\(467\) | 9.56914 | − | 18.7805i | 0.442807 | − | 0.869058i | −0.556464 | − | 0.830872i | \(-0.687842\pi\) |
0.999271 | − | 0.0381857i | \(-0.0121578\pi\) | |||||||
\(468\) | 11.8434 | + | 2.59102i | 0.547460 | + | 0.119770i | ||||
\(469\) | 3.43943 | − | 1.11754i | 0.158818 | − | 0.0516032i | ||||
\(470\) | −11.4021 | + | 15.0813i | −0.525942 | + | 0.695651i | ||||
\(471\) | 9.55106 | + | 3.10333i | 0.440090 | + | 0.142994i | ||||
\(472\) | −27.2509 | − | 6.79976i | −1.25433 | − | 0.312984i | ||||
\(473\) | 25.5510 | + | 4.04688i | 1.17484 | + | 0.186076i | ||||
\(474\) | 20.2917 | − | 5.94516i | 0.932027 | − | 0.273070i | ||||
\(475\) | 12.2035 | + | 8.49471i | 0.559935 | + | 0.389764i | ||||
\(476\) | −5.01711 | − | 7.82708i | −0.229959 | − | 0.358754i | ||||
\(477\) | −1.51811 | + | 9.58499i | −0.0695096 | + | 0.438867i | ||||
\(478\) | −22.9620 | + | 21.6608i | −1.05026 | + | 0.990744i | ||||
\(479\) | 5.25826 | − | 16.1833i | 0.240256 | − | 0.739432i | −0.756125 | − | 0.654428i | \(-0.772910\pi\) |
0.996381 | − | 0.0850043i | \(-0.0270904\pi\) | |||||||
\(480\) | −13.0891 | − | 1.78637i | −0.597433 | − | 0.0815364i | ||||
\(481\) | −6.47020 | − | 19.9132i | −0.295016 | − | 0.907965i | ||||
\(482\) | −12.3636 | − | 6.76053i | −0.563148 | − | 0.307934i | ||||
\(483\) | −2.60028 | − | 1.32491i | −0.118317 | − | 0.0602855i | ||||
\(484\) | −1.56875 | + | 26.8775i | −0.0713068 | + | 1.22171i | ||||
\(485\) | 23.5719 | + | 23.0999i | 1.07034 | + | 1.04891i | ||||
\(486\) | 13.6302 | − | 17.6544i | 0.618277 | − | 0.800818i | ||||
\(487\) | 4.51182 | + | 28.4865i | 0.204450 | + | 1.29085i | 0.849859 | + | 0.527009i | \(0.176687\pi\) |
−0.645409 | + | 0.763837i | \(0.723313\pi\) | |||||||
\(488\) | −17.8739 | + | 28.5926i | −0.809115 | + | 1.29432i | ||||
\(489\) | −8.14173 | − | 11.2061i | −0.368182 | − | 0.506758i | ||||
\(490\) | −1.38174 | − | 2.84443i | −0.0624208 | − | 0.128498i | ||||
\(491\) | −5.22869 | + | 7.19667i | −0.235967 | + | 0.324781i | −0.910535 | − | 0.413432i | \(-0.864330\pi\) |
0.674568 | + | 0.738213i | \(0.264330\pi\) | |||||||
\(492\) | −1.60563 | − | 16.2019i | −0.0723874 | − | 0.730436i | ||||
\(493\) | −35.2010 | − | 35.2010i | −1.58537 | − | 1.58537i | ||||
\(494\) | −11.0263 | + | 7.53006i | −0.496098 | + | 0.338793i | ||||
\(495\) | −20.0148 | + | 6.72770i | −0.899600 | + | 0.302388i | ||||
\(496\) | 2.30903 | − | 2.50396i | 0.103679 | − | 0.112431i | ||||
\(497\) | −2.38392 | − | 4.67871i | −0.106934 | − | 0.209869i | ||||
\(498\) | −2.40669 | − | 18.7099i | −0.107846 | − | 0.838409i | ||||
\(499\) | 17.2645 | 0.772863 | 0.386432 | − | 0.922318i | \(-0.373708\pi\) | ||||
0.386432 | + | 0.922318i | \(0.373708\pi\) | |||||||
\(500\) | −7.50180 | + | 21.0647i | −0.335491 | + | 0.942044i | ||||
\(501\) | −3.72401 | −0.166376 | ||||||||
\(502\) | −1.25263 | − | 9.73811i | −0.0559077 | − | 0.434633i | ||||
\(503\) | −2.26041 | − | 4.43631i | −0.100787 | − | 0.197805i | 0.835107 | − | 0.550088i | \(-0.185406\pi\) |
−0.935894 | + | 0.352282i | \(0.885406\pi\) | |||||||
\(504\) | −4.62943 | + | 2.78048i | −0.206211 | + | 0.123853i | ||||
\(505\) | −3.73984 | + | 1.25709i | −0.166421 | + | 0.0559400i | ||||
\(506\) | 16.1405 | − | 11.0226i | 0.717535 | − | 0.490016i | ||||
\(507\) | 2.15644 | + | 2.15644i | 0.0957710 | + | 0.0957710i | ||||
\(508\) | 33.9328 | − | 3.36279i | 1.50552 | − | 0.149200i | ||||
\(509\) | −12.0916 | + | 16.6426i | −0.535949 | + | 0.737671i | −0.988022 | − | 0.154310i | \(-0.950685\pi\) |
0.452073 | + | 0.891981i | \(0.350685\pi\) | |||||||
\(510\) | −6.70808 | − | 13.8091i | −0.297039 | − | 0.611479i | ||||
\(511\) | −4.57724 | − | 6.30003i | −0.202485 | − | 0.278697i | ||||
\(512\) | 9.21482 | − | 20.6661i | 0.407242 | − | 0.913321i | ||||
\(513\) | 2.38516 | + | 15.0593i | 0.105307 | + | 0.664884i | ||||
\(514\) | −6.03447 | + | 7.81610i | −0.266169 | + | 0.344753i | ||||
\(515\) | −17.6844 | − | 17.3303i | −0.779267 | − | 0.763665i | ||||
\(516\) | 10.9067 | + | 0.636587i | 0.480141 | + | 0.0280242i | ||||
\(517\) | 26.3472 | + | 13.4246i | 1.15875 | + | 0.590412i | ||||
\(518\) | 8.18309 | + | 4.47458i | 0.359544 | + | 0.196602i | ||||
\(519\) | 1.70777 | + | 5.25598i | 0.0749628 | + | 0.230712i | ||||
\(520\) | −15.2844 | − | 13.0224i | −0.670266 | − | 0.571071i | ||||
\(521\) | −6.33371 | + | 19.4932i | −0.277485 | + | 0.854011i | 0.711066 | + | 0.703125i | \(0.248213\pi\) |
−0.988551 | + | 0.150886i | \(0.951787\pi\) | |||||||
\(522\) | −21.0340 | + | 19.8422i | −0.920635 | + | 0.868467i | ||||
\(523\) | −1.38861 | + | 8.76734i | −0.0607197 | + | 0.383369i | 0.938550 | + | 0.345145i | \(0.112170\pi\) |
−0.999269 | + | 0.0382243i | \(0.987830\pi\) | |||||||
\(524\) | −21.9924 | + | 14.0970i | −0.960743 | + | 0.615830i | ||||
\(525\) | −1.71374 | − | 4.93266i | −0.0747939 | − | 0.215279i | ||||
\(526\) | 18.9418 | − | 5.54968i | 0.825902 | − | 0.241977i | ||||
\(527\) | 3.90958 | + | 0.619216i | 0.170304 | + | 0.0269735i | ||||
\(528\) | 0.836118 | + | 20.6445i | 0.0363874 | + | 0.898435i | ||||
\(529\) | 14.4480 | + | 4.69444i | 0.628174 | + | 0.204106i | ||||
\(530\) | 9.69344 | − | 12.8213i | 0.421056 | − | 0.556921i | ||||
\(531\) | −18.0313 | + | 5.85874i | −0.782493 | + | 0.254248i | ||||
\(532\) | 1.27111 | − | 5.81016i | 0.0551095 | − | 0.251902i | ||||
\(533\) | 11.2351 | − | 22.0500i | 0.486644 | − | 0.955093i | ||||
\(534\) | 5.47964 | − | 15.3292i | 0.237127 | − | 0.663358i | ||||
\(535\) | −32.6962 | − | 16.2452i | −1.41358 | − | 0.702343i | ||||
\(536\) | −0.893378 | + | 10.1897i | −0.0385881 | + | 0.440130i | ||||
\(537\) | 8.31297 | − | 1.31664i | 0.358731 | − | 0.0568174i | ||||
\(538\) | −13.9618 | + | 6.60859i | −0.601935 | + | 0.284917i | ||||
\(539\) | −4.00129 | + | 2.90711i | −0.172348 | + | 0.125218i | ||||
\(540\) | −20.9078 | + | 9.41344i | −0.899729 | + | 0.405090i | ||||
\(541\) | −26.2075 | − | 19.0409i | −1.12675 | − | 0.818631i | −0.141530 | − | 0.989934i | \(-0.545202\pi\) |
−0.985218 | + | 0.171303i | \(0.945202\pi\) | |||||||
\(542\) | 3.81080 | + | 0.718005i | 0.163688 | + | 0.0308409i | ||||
\(543\) | 2.05199 | − | 2.05199i | 0.0880595 | − | 0.0880595i | ||||
\(544\) | 25.9239 | − | 4.40755i | 1.11148 | − | 0.188972i | ||||
\(545\) | −9.32686 | + | 29.7245i | −0.399519 | + | 1.27326i | ||||
\(546\) | 4.68722 | + | 0.136672i | 0.200595 | + | 0.00584904i | ||||
\(547\) | −2.88983 | + | 1.47244i | −0.123560 | + | 0.0629570i | −0.514678 | − | 0.857384i | \(-0.672088\pi\) |
0.391118 | + | 0.920341i | \(0.372088\pi\) | |||||||
\(548\) | −31.2428 | + | 13.6884i | −1.33463 | + | 0.584739i | ||||
\(549\) | 22.7618i | 0.971450i | ||||||||
\(550\) | 34.4918 | + | 5.77908i | 1.47074 | + | 0.246421i | ||||
\(551\) | − | 31.8468i | − | 1.35672i | ||||||
\(552\) | 6.32421 | − | 5.30465i | 0.269176 | − | 0.225781i | ||||
\(553\) | −12.7559 | + | 6.49943i | −0.542434 | + | 0.276384i | ||||
\(554\) | −0.118123 | + | 4.05106i | −0.00501856 | + | 0.172113i | ||||
\(555\) | 12.5506 | + | 8.92603i | 0.532741 | + | 0.378889i | ||||
\(556\) | 7.89263 | − | 9.62906i | 0.334722 | − | 0.408363i | ||||
\(557\) | −24.1156 | + | 24.1156i | −1.02181 | + | 1.02181i | −0.0220523 | + | 0.999757i | \(0.507020\pi\) |
−0.999757 | + | 0.0220523i | \(0.992980\pi\) | |||||||
\(558\) | 0.425712 | − | 2.25946i | 0.0180218 | − | 0.0956507i | ||||
\(559\) | 13.4348 | + | 9.76095i | 0.568231 | + | 0.412844i | ||||
\(560\) | 8.93283 | − | 0.452297i | 0.377481 | − | 0.0191130i | ||||
\(561\) | −19.4255 | + | 14.1134i | −0.820144 | + | 0.595869i | ||||
\(562\) | 1.87401 | + | 3.95917i | 0.0790504 | + | 0.167007i | ||||
\(563\) | −10.7713 | + | 1.70601i | −0.453957 | + | 0.0718998i | −0.379226 | − | 0.925304i | \(-0.623810\pi\) |
−0.0747311 | + | 0.997204i | \(0.523810\pi\) | |||||||
\(564\) | 11.6319 | + | 4.54453i | 0.489792 | + | 0.191359i | ||||
\(565\) | −11.6328 | − | 22.2710i | −0.489395 | − | 0.936950i | ||||
\(566\) | 31.9143 | + | 11.4082i | 1.34146 | + | 0.479524i | ||||
\(567\) | −0.169420 | + | 0.332505i | −0.00711497 | + | 0.0139639i | ||||
\(568\) | 14.8162 | − | 1.03331i | 0.621674 | − | 0.0433566i | ||||
\(569\) | 12.7063 | − | 4.12851i | 0.532674 | − | 0.173076i | −0.0303155 | − | 0.999540i | \(-0.509651\pi\) |
0.562989 | + | 0.826464i | \(0.309651\pi\) | |||||||
\(570\) | 3.21221 | − | 9.28110i | 0.134545 | − | 0.388742i | ||||
\(571\) | 24.1495 | + | 7.84664i | 1.01062 | + | 0.328372i | 0.767103 | − | 0.641524i | \(-0.221698\pi\) |
0.243521 | + | 0.969896i | \(0.421698\pi\) | |||||||
\(572\) | −15.8639 | + | 27.1039i | −0.663302 | + | 1.13327i | ||||
\(573\) | −21.5885 | − | 3.41928i | −0.901872 | − | 0.142842i | ||||
\(574\) | 3.09940 | + | 10.5787i | 0.129367 | + | 0.441546i | ||||
\(575\) | −6.59351 | − | 12.3182i | −0.274968 | − | 0.513703i | ||||
\(576\) | −2.12019 | − | 15.1264i | −0.0883412 | − | 0.630265i | ||||
\(577\) | 2.05709 | − | 12.9879i | 0.0856377 | − | 0.540695i | −0.907150 | − | 0.420808i | \(-0.861747\pi\) |
0.992787 | − | 0.119887i | \(-0.0382534\pi\) | |||||||
\(578\) | 4.47239 | + | 4.74104i | 0.186027 | + | 0.197201i | ||||
\(579\) | 0.879344 | − | 2.70634i | 0.0365443 | − | 0.112472i | ||||
\(580\) | 46.2088 | − | 12.5884i | 1.91872 | − | 0.522705i | ||||
\(581\) | 3.94680 | + | 12.1470i | 0.163741 | + | 0.503942i | ||||
\(582\) | 10.4587 | − | 19.1269i | 0.433528 | − | 0.792835i | ||||
\(583\) | −22.3989 | − | 11.4128i | −0.927667 | − | 0.472670i | ||||
\(584\) | 21.4621 | − | 4.95076i | 0.888109 | − | 0.204864i | ||||
\(585\) | −13.4084 | − | 1.98492i | −0.554367 | − | 0.0820661i | ||||
\(586\) | 14.2299 | + | 10.9863i | 0.587832 | + | 0.453840i | ||||
\(587\) | −3.17020 | − | 20.0159i | −0.130848 | − | 0.826143i | −0.962586 | − | 0.270975i | \(-0.912654\pi\) |
0.831738 | − | 0.555168i | \(-0.187346\pi\) | |||||||
\(588\) | −1.56052 | + | 1.38840i | −0.0643548 | + | 0.0572567i | ||||
\(589\) | 1.48842 | + | 2.04863i | 0.0613292 | + | 0.0844123i | ||||
\(590\) | 30.9159 | + | 5.50187i | 1.27279 | + | 0.226508i | ||||
\(591\) | 8.26642 | − | 11.3777i | 0.340035 | − | 0.468018i | ||||
\(592\) | −20.6965 | + | 16.3564i | −0.850622 | + | 0.672245i | ||||
\(593\) | 2.53789 | + | 2.53789i | 0.104219 | + | 0.104219i | 0.757293 | − | 0.653075i | \(-0.226521\pi\) |
−0.653075 | + | 0.757293i | \(0.726521\pi\) | |||||||
\(594\) | 20.2245 | + | 29.6149i | 0.829821 | + | 1.21511i | ||||
\(595\) | 6.19438 | + | 8.34703i | 0.253945 | + | 0.342195i | ||||
\(596\) | −0.430730 | − | 1.64657i | −0.0176434 | − | 0.0674462i | ||||
\(597\) | −9.00916 | − | 17.6815i | −0.368720 | − | 0.723655i | ||||
\(598\) | 12.4441 | − | 1.60071i | 0.508876 | − | 0.0654577i | ||||
\(599\) | −18.3030 | −0.747842 | −0.373921 | − | 0.927461i | \(-0.621987\pi\) | ||||
−0.373921 | + | 0.927461i | \(0.621987\pi\) | |||||||
\(600\) | 14.7363 | + | 0.992193i | 0.601609 | + | 0.0405061i | ||||
\(601\) | 19.0302 | 0.776258 | 0.388129 | − | 0.921605i | \(-0.373121\pi\) | ||||
0.388129 | + | 0.921605i | \(0.373121\pi\) | |||||||
\(602\) | −7.33662 | + | 0.943724i | −0.299018 | + | 0.0384633i | ||||
\(603\) | 3.13471 | + | 6.15221i | 0.127655 | + | 0.250537i | ||||
\(604\) | −0.529540 | − | 2.02430i | −0.0215467 | − | 0.0823675i | ||||
\(605\) | −0.304355 | − | 30.0996i | −0.0123738 | − | 1.22372i | ||||
\(606\) | 1.46971 | + | 2.15210i | 0.0597027 | + | 0.0874232i | ||||
\(607\) | −0.653615 | − | 0.653615i | −0.0265294 | − | 0.0265294i | 0.693718 | − | 0.720247i | \(-0.255972\pi\) |
−0.720247 | + | 0.693718i | \(0.755972\pi\) | |||||||
\(608\) | 13.7207 | + | 9.73308i | 0.556446 | + | 0.394729i | ||||
\(609\) | −6.57403 | + | 9.04837i | −0.266393 | + | 0.366658i | ||||
\(610\) | 17.7517 | − | 33.2587i | 0.718744 | − | 1.34661i | ||||
\(611\) | 11.1573 | + | 15.3567i | 0.451375 | + | 0.621265i | ||||
\(612\) | 13.2616 | − | 11.7989i | 0.536068 | − | 0.476942i | ||||
\(613\) | 2.68895 | + | 16.9773i | 0.108606 | + | 0.685709i | 0.980574 | + | 0.196147i | \(0.0628431\pi\) |
−0.871969 | + | 0.489561i | \(0.837157\pi\) | |||||||
\(614\) | −34.2999 | − | 26.4815i | −1.38423 | − | 1.06871i | ||||
\(615\) | 3.02921 | + | 17.9491i | 0.122150 | + | 0.723779i | ||||
\(616\) | −3.14434 | − | 13.6311i | −0.126689 | − | 0.549212i | ||||
\(617\) | −25.8471 | − | 13.1698i | −1.04057 | − | 0.530195i | −0.151730 | − | 0.988422i | \(-0.548485\pi\) |
−0.888835 | + | 0.458227i | \(0.848485\pi\) | |||||||
\(618\) | −7.84648 | + | 14.3496i | −0.315632 | + | 0.577226i | ||||
\(619\) | 13.7798 | + | 42.4098i | 0.553856 | + | 1.70459i | 0.698946 | + | 0.715175i | \(0.253653\pi\) |
−0.145090 | + | 0.989419i | \(0.546347\pi\) | |||||||
\(620\) | −2.38417 | + | 2.96944i | −0.0957504 | + | 0.119255i | ||||
\(621\) | 4.42731 | − | 13.6259i | 0.177662 | − | 0.546787i | ||||
\(622\) | 3.12703 | + | 3.31487i | 0.125383 | + | 0.132914i | ||||
\(623\) | −1.72421 | + | 10.8863i | −0.0690792 | + | 0.436149i | ||||
\(624\) | −5.53817 | + | 12.0515i | −0.221704 | + | 0.482446i | ||||
\(625\) | 6.75773 | − | 24.0693i | 0.270309 | − | 0.962774i | ||||
\(626\) | 9.04107 | + | 30.8584i | 0.361354 | + | 1.23335i | ||||
\(627\) | −15.1715 | − | 2.40294i | −0.605893 | − | 0.0959640i | ||||
\(628\) | 9.71463 | − | 16.5977i | 0.387656 | − | 0.662322i | ||||
\(629\) | −29.1559 | − | 9.47334i | −1.16252 | − | 0.377727i | ||||
\(630\) | 4.95125 | − | 3.45522i | 0.197263 | − | 0.137659i | ||||
\(631\) | 1.50864 | − | 0.490187i | 0.0600581 | − | 0.0195141i | −0.278834 | − | 0.960339i | \(-0.589948\pi\) |
0.338892 | + | 0.940825i | \(0.389948\pi\) | |||||||
\(632\) | −2.81717 | − | 40.3943i | −0.112061 | − | 1.60680i | ||||
\(633\) | −2.52626 | + | 4.95806i | −0.100410 | + | 0.197065i | ||||
\(634\) | 12.7606 | + | 4.56147i | 0.506788 | + | 0.181159i | ||||
\(635\) | −37.5922 | + | 6.34430i | −1.49180 | + | 0.251766i | ||||
\(636\) | −9.88876 | − | 3.86350i | −0.392115 | − | 0.153198i | ||||
\(637\) | −3.13580 | + | 0.496662i | −0.124245 | + | 0.0196785i | ||||
\(638\) | −32.0467 | − | 67.7041i | −1.26874 | − | 2.68043i | ||||
\(639\) | 8.11096 | − | 5.89296i | 0.320865 | − | 0.233122i | ||||
\(640\) | −8.69894 | + | 23.7556i | −0.343856 | + | 0.939022i | ||||
\(641\) | −33.4160 | − | 24.2781i | −1.31985 | − | 0.958928i | −0.999934 | − | 0.0114821i | \(-0.996345\pi\) |
−0.319917 | − | 0.947446i | \(-0.603655\pi\) | |||||||
\(642\) | −4.46509 | + | 23.6984i | −0.176223 | + | 0.935301i | ||||
\(643\) | −10.5140 | + | 10.5140i | −0.414633 | + | 0.414633i | −0.883349 | − | 0.468716i | \(-0.844717\pi\) |
0.468716 | + | 0.883349i | \(0.344717\pi\) | |||||||
\(644\) | −3.54284 | + | 4.32229i | −0.139607 | + | 0.170322i | ||||
\(645\) | −12.2142 | + | 0.123505i | −0.480933 | + | 0.00486300i | ||||
\(646\) | −0.569796 | + | 19.5413i | −0.0224183 | + | 0.768844i | ||||
\(647\) | −10.5271 | + | 5.36381i | −0.413862 | + | 0.210873i | −0.648508 | − | 0.761208i | \(-0.724607\pi\) |
0.234647 | + | 0.972081i | \(0.424607\pi\) | |||||||
\(648\) | −0.678320 | − | 0.808693i | −0.0266469 | − | 0.0317685i | ||||
\(649\) | − | 49.1129i | − | 1.92785i | ||||||
\(650\) | 18.0438 | + | 13.3573i | 0.707735 | + | 0.523917i | ||||
\(651\) | − | 0.889309i | − | 0.0348548i | ||||||
\(652\) | −24.2963 | + | 10.6449i | −0.951517 | + | 0.416888i | ||||
\(653\) | −15.8861 | + | 8.09438i | −0.621672 | + | 0.316758i | −0.736305 | − | 0.676650i | \(-0.763431\pi\) |
0.114633 | + | 0.993408i | \(0.463431\pi\) | |||||||
\(654\) | 20.5688 | + | 0.599754i | 0.804302 | + | 0.0234522i | ||||
\(655\) | 23.4533 | − | 17.4049i | 0.916398 | − | 0.680065i | ||||
\(656\) | −30.9671 | − | 3.62725i | −1.20906 | − | 0.141620i | ||||
\(657\) | 10.5133 | − | 10.5133i | 0.410163 | − | 0.410163i | ||||
\(658\) | −8.30905 | − | 1.56553i | −0.323920 | − | 0.0610309i | ||||
\(659\) | 4.27252 | + | 3.10417i | 0.166434 | + | 0.120921i | 0.667884 | − | 0.744265i | \(-0.267200\pi\) |
−0.501451 | + | 0.865186i | \(0.667200\pi\) | |||||||
\(660\) | −2.51042 | − | 22.9633i | −0.0977178 | − | 0.893846i | ||||
\(661\) | 17.6751 | − | 12.8417i | 0.687483 | − | 0.499486i | −0.188349 | − | 0.982102i | \(-0.560313\pi\) |
0.875832 | + | 0.482617i | \(0.160313\pi\) | |||||||
\(662\) | −10.8025 | + | 5.11321i | −0.419852 | + | 0.198731i | ||||
\(663\) | −15.2237 | + | 2.41119i | −0.591238 | + | 0.0936429i | ||||
\(664\) | −35.9869 | − | 3.15513i | −1.39656 | − | 0.122443i | ||||
\(665\) | −0.973765 | + | 6.57791i | −0.0377610 | + | 0.255080i | ||||
\(666\) | −5.99393 | + | 16.7679i | −0.232260 | + | 0.649743i | ||||
\(667\) | −13.5858 | + | 26.6636i | −0.526045 | + | 1.03242i | ||||
\(668\) | −1.52414 | + | 6.96677i | −0.0589709 | + | 0.269552i | ||||
\(669\) | 17.0619 | − | 5.54375i | 0.659651 | − | 0.214334i | ||||
\(670\) | 0.217720 | − | 11.4341i | 0.00841126 | − | 0.441738i | ||||
\(671\) | −56.0772 | − | 18.2206i | −2.16484 | − | 0.703398i | ||||
\(672\) | −1.88917 | − | 5.59769i | −0.0728763 | − | 0.215936i | ||||
\(673\) | −17.4666 | − | 2.76643i | −0.673286 | − | 0.106638i | −0.189576 | − | 0.981866i | \(-0.560711\pi\) |
−0.483711 | + | 0.875228i | \(0.660711\pi\) | |||||||
\(674\) | 7.36889 | − | 2.15898i | 0.283839 | − | 0.0831606i | ||||
\(675\) | 22.6015 | − | 12.0979i | 0.869934 | − | 0.465647i | ||||
\(676\) | 4.91679 | − | 3.15163i | 0.189107 | − | 0.121217i | ||||
\(677\) | 0.156461 | − | 0.987858i | 0.00601330 | − | 0.0379665i | −0.984499 | − | 0.175389i | \(-0.943882\pi\) |
0.990513 | + | 0.137422i | \(0.0438818\pi\) | |||||||
\(678\) | −12.0724 | + | 11.3884i | −0.463639 | + | 0.437367i | ||||
\(679\) | −4.56099 | + | 14.0373i | −0.175035 | + | 0.538701i | ||||
\(680\) | −28.5792 | + | 6.89755i | −1.09596 | + | 0.264509i | ||||
\(681\) | 0.759458 | + | 2.33737i | 0.0291025 | + | 0.0895682i | ||||
\(682\) | 5.22576 | + | 2.85749i | 0.200105 | + | 0.109419i | ||||
\(683\) | −20.1775 | − | 10.2809i | −0.772070 | − | 0.393389i | 0.0231330 | − | 0.999732i | \(-0.492636\pi\) |
−0.795203 | + | 0.606343i | \(0.792636\pi\) | |||||||
\(684\) | 11.3363 | + | 0.661660i | 0.433454 | + | 0.0252992i | ||||
\(685\) | 33.8027 | − | 17.6561i | 1.29153 | − | 0.674604i | ||||
\(686\) | 0.864247 | − | 1.11941i | 0.0329971 | − | 0.0427392i | ||||
\(687\) | 1.11918 | + | 7.06625i | 0.0426995 | + | 0.269594i | ||||
\(688\) | 5.65475 | − | 20.1434i | 0.215585 | − | 0.767960i | ||||
\(689\) | −9.48527 | − | 13.0554i | −0.361360 | − | 0.497369i | ||||
\(690\) | −6.64872 | + | 6.40025i | −0.253112 | + | 0.243653i | ||||
\(691\) | 19.2232 | − | 26.4584i | 0.731284 | − | 1.00653i | −0.267789 | − | 0.963478i | \(-0.586293\pi\) |
0.999073 | − | 0.0430485i | \(-0.0137070\pi\) | |||||||
\(692\) | 10.5317 | − | 1.04371i | 0.400355 | − | 0.0396758i | ||||
\(693\) | −6.67724 | − | 6.67724i | −0.253647 | − | 0.253647i | ||||
\(694\) | 20.9408 | − | 14.3008i | 0.794900 | − | 0.542851i | ||||
\(695\) | −8.06767 | + | 11.3436i | −0.306024 | + | 0.430289i | ||||
\(696\) | −16.2879 | − | 27.1189i | −0.617389 | − | 1.02794i | ||||
\(697\) | −16.4498 | − | 32.2846i | −0.623081 | − | 1.22287i | ||||
\(698\) | −5.22045 | − | 40.5844i | −0.197597 | − | 1.53614i | ||||
\(699\) | −15.0117 | −0.567796 | ||||||||
\(700\) | −9.92928 | + | 1.18721i | −0.375291 | + | 0.0448723i | ||||
\(701\) | 33.7479 | 1.27464 | 0.637320 | − | 0.770599i | \(-0.280043\pi\) | ||||
0.637320 | + | 0.770599i | \(0.280043\pi\) | |||||||
\(702\) | 2.93699 | + | 22.8326i | 0.110850 | + | 0.861759i | ||||
\(703\) | −8.90355 | − | 17.4742i | −0.335804 | − | 0.659052i | ||||
\(704\) | 38.9633 | + | 6.88509i | 1.46849 | + | 0.259492i | ||||
\(705\) | −13.3218 | − | 4.18007i | −0.501727 | − | 0.157430i | ||||
\(706\) | 37.0308 | − | 25.2890i | 1.39367 | − | 0.951763i | ||||
\(707\) | −1.24767 | − | 1.24767i | −0.0469233 | − | 0.0469233i | ||||
\(708\) | −2.04549 | − | 20.6404i | −0.0768744 | − | 0.775712i | ||||
\(709\) | −4.25398 | + | 5.85510i | −0.159762 | + | 0.219893i | −0.881392 | − | 0.472385i | \(-0.843393\pi\) |
0.721630 | + | 0.692279i | \(0.243393\pi\) | |||||||
\(710\) | −16.4473 | + | 2.28493i | −0.617256 | + | 0.0857518i | ||||
\(711\) | −16.0663 | − | 22.1134i | −0.602535 | − | 0.829318i | ||||
\(712\) | −26.4347 | − | 16.5250i | −0.990682 | − | 0.619301i | ||||
\(713\) | −0.372230 | − | 2.35017i | −0.0139401 | − | 0.0880145i | ||||
\(714\) | 4.19575 | − | 5.43450i | 0.157022 | − | 0.203381i | ||||
\(715\) | 15.6234 | − | 31.4446i | 0.584282 | − | 1.17596i | ||||
\(716\) | 0.939150 | − | 16.0905i | 0.0350977 | − | 0.601332i | ||||
\(717\) | −20.7706 | − | 10.5832i | −0.775693 | − | 0.395235i | ||||
\(718\) | 26.8344 | + | 14.6733i | 1.00145 | + | 0.547602i | ||||
\(719\) | 1.82462 | + | 5.61562i | 0.0680470 | + | 0.209427i | 0.979298 | − | 0.202425i | \(-0.0648821\pi\) |
−0.911251 | + | 0.411852i | \(0.864882\pi\) | |||||||
\(720\) | 3.52096 | + | 16.7102i | 0.131218 | + | 0.622752i | ||||
\(721\) | 3.42180 | − | 10.5312i | 0.127435 | − | 0.392203i | ||||
\(722\) | 10.4483 | − | 9.85625i | 0.388845 | − | 0.366812i | ||||
\(723\) | 1.62789 | − | 10.2781i | 0.0605418 | − | 0.382246i | ||||
\(724\) | −2.99898 | − | 4.67865i | −0.111456 | − | 0.173881i | ||||
\(725\) | −50.5801 | + | 17.5730i | −1.87850 | + | 0.652643i | ||||
\(726\) | −19.0804 | + | 5.59027i | −0.708139 | + | 0.207474i | ||||
\(727\) | −2.88329 | − | 0.456668i | −0.106935 | − | 0.0169369i | 0.102737 | − | 0.994709i | \(-0.467240\pi\) |
−0.209673 | + | 0.977772i | \(0.567240\pi\) | |||||||
\(728\) | 2.17405 | − | 8.71280i | 0.0805756 | − | 0.322918i | ||||
\(729\) | 14.6001 | + | 4.74386i | 0.540745 | + | 0.175699i | ||||
\(730\) | −23.5609 | + | 7.16245i | −0.872027 | + | 0.265094i | ||||
\(731\) | 23.1241 | − | 7.51348i | 0.855276 | − | 0.277896i | ||||
\(732\) | −24.3261 | − | 5.32190i | −0.899118 | − | 0.196703i | ||||
\(733\) | −13.5214 | + | 26.5372i | −0.499424 | + | 0.980174i | 0.494403 | + | 0.869233i | \(0.335387\pi\) |
−0.993827 | + | 0.110942i | \(0.964613\pi\) | |||||||
\(734\) | −12.9307 | + | 36.1735i | −0.477283 | + | 1.33519i | ||||
\(735\) | 1.63452 | − | 1.66792i | 0.0602903 | − | 0.0615220i | ||||
\(736\) | −7.33546 | − | 14.0022i | −0.270389 | − | 0.516129i | ||||
\(737\) | −17.6662 | + | 2.79805i | −0.650743 | + | 0.103068i | ||||
\(738\) | −19.0233 | + | 9.00438i | −0.700257 | + | 0.331456i | ||||
\(739\) | −13.7391 | + | 9.98201i | −0.505399 | + | 0.367194i | −0.811076 | − | 0.584941i | \(-0.801118\pi\) |
0.305676 | + | 0.952136i | \(0.401118\pi\) | |||||||
\(740\) | 21.8352 | − | 19.8260i | 0.802678 | − | 0.728819i | ||||
\(741\) | −7.97724 | − | 5.79581i | −0.293051 | − | 0.212914i | ||||
\(742\) | 7.06387 | + | 1.33093i | 0.259323 | + | 0.0488598i | ||||
\(743\) | −7.94484 | + | 7.94484i | −0.291468 | + | 0.291468i | −0.837660 | − | 0.546192i | \(-0.816077\pi\) |
0.546192 | + | 0.837660i | \(0.316077\pi\) | |||||||
\(744\) | 2.31521 | + | 0.983251i | 0.0848796 | + | 0.0360477i | ||||
\(745\) | 0.606287 | + | 1.80370i | 0.0222126 | + | 0.0660824i | ||||
\(746\) | 31.6836 | + | 0.923845i | 1.16002 | + | 0.0338244i | ||||
\(747\) | −21.7276 | + | 11.0708i | −0.794973 | + | 0.405059i | ||||
\(748\) | 18.4526 | + | 42.1169i | 0.674696 | + | 1.53995i | ||||
\(749\) | − | 16.3276i | − | 0.596597i | ||||||
\(750\) | −16.5130 | + | 0.0195435i | −0.602970 | + | 0.000713627i | ||||
\(751\) | 24.4940i | 0.893800i | 0.894584 | + | 0.446900i | \(0.147472\pi\) | ||||
−0.894584 | + | 0.446900i | \(0.852528\pi\) | |||||||
\(752\) | 13.2624 | − | 19.9007i | 0.483632 | − | 0.725703i | ||||
\(753\) | 6.46043 | − | 3.29175i | 0.235431 | − | 0.119958i | ||||
\(754\) | 1.40146 | − | 48.0634i | 0.0510380 | − | 1.75037i | ||||
\(755\) | 0.745370 | + | 2.21747i | 0.0271268 | + | 0.0807019i | ||||
\(756\) | −7.93059 | − | 6.50045i | −0.288433 | − | 0.236419i | ||||
\(757\) | 7.93587 | − | 7.93587i | 0.288434 | − | 0.288434i | −0.548027 | − | 0.836461i | \(-0.684621\pi\) |
0.836461 | + | 0.548027i | \(0.184621\pi\) | |||||||
\(758\) | −3.32773 | + | 17.6619i | −0.120868 | + | 0.641508i | ||||
\(759\) | 11.6772 | + | 8.48401i | 0.423857 | + | 0.307950i | ||||
\(760\) | −16.0481 | − | 9.80784i | −0.582127 | − | 0.355768i | ||||
\(761\) | −27.3270 | + | 19.8542i | −0.990603 | + | 0.719716i | −0.960053 | − | 0.279818i | \(-0.909726\pi\) |
−0.0305503 | + | 0.999533i | \(0.509726\pi\) | |||||||
\(762\) | 10.7734 | + | 22.7606i | 0.390279 | + | 0.824531i | ||||
\(763\) | −13.7607 | + | 2.17948i | −0.498171 | + | 0.0789025i | ||||
\(764\) | −15.2323 | + | 38.9877i | −0.551087 | + | 1.41053i | ||||
\(765\) | −13.8905 | + | 14.1743i | −0.502211 | + | 0.512472i | ||||
\(766\) | 15.8678 | + | 5.67217i | 0.573326 | + | 0.204944i | ||||
\(767\) | 14.3129 | − | 28.0906i | 0.516809 | − | 1.01429i | ||||
\(768\) | 16.6616 | + | 1.27078i | 0.601225 | + | 0.0458552i | ||||
\(769\) | 2.18239 | − | 0.709103i | 0.0786991 | − | 0.0255709i | −0.269403 | − | 0.963028i | \(-0.586826\pi\) |
0.348102 | + | 0.937457i | \(0.386826\pi\) | |||||||
\(770\) | 4.54903 | + | 14.9640i | 0.163936 | + | 0.539267i | ||||
\(771\) | −6.93529 | − | 2.25341i | −0.249768 | − | 0.0811546i | ||||
\(772\) | −4.70306 | − | 2.75269i | −0.169267 | − | 0.0990716i | ||||
\(773\) | −31.3272 | − | 4.96174i | −1.12676 | − | 0.178461i | −0.434890 | − | 0.900483i | \(-0.643213\pi\) |
−0.691870 | + | 0.722022i | \(0.743213\pi\) | |||||||
\(774\) | −3.97093 | − | 13.5533i | −0.142732 | − | 0.487164i | ||||
\(775\) | 2.43240 | − | 3.49438i | 0.0873743 | − | 0.125522i | ||||
\(776\) | −31.5015 | − | 27.3941i | −1.13084 | − | 0.983390i | ||||
\(777\) | −1.07745 | + | 6.80274i | −0.0386532 | + | 0.244047i | ||||
\(778\) | −6.81417 | − | 7.22349i | −0.244300 | − | 0.258975i | ||||
\(779\) | 7.16296 | − | 22.0453i | 0.256640 | − | 0.789855i | ||||
\(780\) | 5.25631 | − | 13.8657i | 0.188206 | − | 0.496473i | ||||
\(781\) | 8.02547 | + | 24.6999i | 0.287174 | + | 0.883830i | ||||
\(782\) | 8.81338 | − | 16.1179i | 0.315166 | − | 0.576374i | ||||
\(783\) | −48.9228 | − | 24.9274i | −1.74836 | − | 0.890833i | ||||
\(784\) | 1.95870 | + | 3.48762i | 0.0699536 | + | 0.124558i | ||||
\(785\) | −9.56737 | + | 19.2559i | −0.341474 | + | 0.687272i | ||||
\(786\) | −15.2698 | − | 11.7891i | −0.544655 | − | 0.420504i | ||||
\(787\) | −6.17790 | − | 39.0057i | −0.220218 | − | 1.39040i | −0.811695 | − | 0.584081i | \(-0.801455\pi\) |
0.591477 | − | 0.806322i | \(-0.298545\pi\) | |||||||
\(788\) | −17.9019 | − | 20.1212i | −0.637730 | − | 0.716789i | ||||
\(789\) | 8.56772 | + | 11.7925i | 0.305019 | + | 0.419823i | ||||
\(790\) | 6.22954 | + | 44.8413i | 0.221637 | + | 1.59538i | ||||
\(791\) | 6.60479 | − | 9.09071i | 0.234839 | − | 0.323228i | ||||
\(792\) | 24.7660 | − | 10.0008i | 0.880020 | − | 0.355363i | ||||
\(793\) | −26.7640 | − | 26.7640i | −0.950417 | − | 0.950417i | ||||
\(794\) | −5.74775 | − | 8.41648i | −0.203980 | − | 0.298690i | ||||
\(795\) | 11.3254 | + | 3.55365i | 0.401670 | + | 0.126035i | ||||
\(796\) | −36.7653 | + | 9.61750i | −1.30311 | + | 0.340883i | ||||
\(797\) | −9.94202 | − | 19.5123i | −0.352164 | − | 0.691162i | 0.645177 | − | 0.764033i | \(-0.276784\pi\) |
−0.997341 | + | 0.0728716i | \(0.976784\pi\) | |||||||
\(798\) | 4.35631 | − | 0.560360i | 0.154212 | − | 0.0198365i | ||||
\(799\) | 27.7924 | 0.983223 | ||||||||
\(800\) | 7.88739 | − | 27.1623i | 0.278861 | − | 0.960331i | ||||
\(801\) | −21.0440 | −0.743553 | ||||||||
\(802\) | −2.06160 | + | 0.265187i | −0.0727975 | + | 0.00936408i | ||||
\(803\) | 17.4854 | + | 34.3170i | 0.617045 | + | 1.21102i | ||||
\(804\) | −7.30793 | + | 1.91170i | −0.257731 | + | 0.0674204i | ||||
\(805\) | 3.62141 | − | 5.09193i | 0.127638 | − | 0.179467i | ||||
\(806\) | 2.15618 | + | 3.15731i | 0.0759481 | + | 0.111211i | ||||
\(807\) | −8.06616 | − | 8.06616i | −0.283942 | − | 0.283942i | ||||
\(808\) | 4.62761 | − | 1.86868i | 0.162799 | − | 0.0657400i | ||||
\(809\) | −19.4182 | + | 26.7269i | −0.682708 | + | 0.939668i | −0.999962 | − | 0.00867304i | \(-0.997239\pi\) |
0.317254 | + | 0.948341i | \(0.397239\pi\) | |||||||
\(810\) | 0.818417 | + | 0.850190i | 0.0287563 | + | 0.0298726i | ||||
\(811\) | 9.57731 | + | 13.1820i | 0.336305 | + | 0.462884i | 0.943358 | − | 0.331778i | \(-0.107648\pi\) |
−0.607053 | + | 0.794661i | \(0.707648\pi\) | |||||||
\(812\) | 14.2369 | + | 16.0018i | 0.499616 | + | 0.561552i | ||||
\(813\) | 0.447987 | + | 2.82848i | 0.0157116 | + | 0.0991991i | ||||
\(814\) | −36.5122 | − | 28.1895i | −1.27975 | − | 0.988042i | ||||
\(815\) | 26.2870 | − | 13.7304i | 0.920794 | − | 0.480957i | ||||
\(816\) | 9.50910 | + | 16.9317i | 0.332885 | + | 0.592727i | ||||
\(817\) | 13.8591 | + | 7.06157i | 0.484869 | + | 0.247053i | ||||
\(818\) | −20.6506 | + | 37.7657i | −0.722030 | + | 1.32045i | ||||
\(819\) | −1.87318 | − | 5.76506i | −0.0654543 | − | 0.201448i | ||||
\(820\) | 34.8185 | + | 1.67918i | 1.21592 | + | 0.0586394i | ||||
\(821\) | 12.8217 | − | 39.4611i | 0.447480 | − | 1.37720i | −0.432261 | − | 0.901748i | \(-0.642284\pi\) |
0.879741 | − | 0.475453i | \(-0.157716\pi\) | |||||||
\(822\) | −17.2851 | − | 18.3234i | −0.602886 | − | 0.639101i | ||||
\(823\) | −5.37305 | + | 33.9241i | −0.187293 | + | 1.18252i | 0.697517 | + | 0.716568i | \(0.254288\pi\) |
−0.884810 | + | 0.465952i | \(0.845712\pi\) | |||||||
\(824\) | 23.6335 | + | 20.5519i | 0.823312 | + | 0.715960i | ||||
\(825\) | 4.55518 | + | 25.4219i | 0.158591 | + | 0.885076i | ||||
\(826\) | 3.94848 | + | 13.4767i | 0.137385 | + | 0.468915i | ||||
\(827\) | −33.0529 | − | 5.23506i | −1.14936 | − | 0.182041i | −0.447453 | − | 0.894308i | \(-0.647669\pi\) |
−0.701909 | + | 0.712267i | \(0.747669\pi\) | |||||||
\(828\) | −9.20901 | − | 5.39002i | −0.320035 | − | 0.187316i | ||||
\(829\) | −4.65354 | − | 1.51203i | −0.161624 | − | 0.0525149i | 0.227087 | − | 0.973874i | \(-0.427080\pi\) |
−0.388712 | + | 0.921360i | \(0.627080\pi\) | |||||||
\(830\) | 40.3816 | + | 0.768918i | 1.40167 | + | 0.0266895i | ||||
\(831\) | −2.84644 | + | 0.924864i | −0.0987419 | + | 0.0320832i | ||||
\(832\) | 20.2790 | + | 15.2930i | 0.703048 | + | 0.530191i | ||||
\(833\) | −2.11038 | + | 4.14186i | −0.0731204 | + | 0.143507i | ||||
\(834\) | 8.65790 | + | 3.09490i | 0.299799 | + | 0.107167i | ||||
\(835\) | 1.16761 | − | 7.88735i | 0.0404068 | − | 0.272953i | ||||
\(836\) | −10.7047 | + | 27.3990i | −0.370229 | + | 0.947615i | ||||
\(837\) | 4.31212 | − | 0.682972i | 0.149049 | − | 0.0236070i | ||||
\(838\) | −5.53894 | − | 11.7020i | −0.191340 | − | 0.404237i | ||||
\(839\) | 22.2099 | − | 16.1364i | 0.766771 | − | 0.557091i | −0.134209 | − | 0.990953i | \(-0.542849\pi\) |
0.900980 | + | 0.433862i | \(0.142849\pi\) | |||||||
\(840\) | 2.53503 | + | 6.09938i | 0.0874668 | + | 0.210449i | ||||
\(841\) | 69.3217 | + | 50.3651i | 2.39040 | + | 1.73673i | ||||
\(842\) | 5.09425 | − | 27.0377i | 0.175559 | − | 0.931779i | ||||
\(843\) | −2.28734 | + | 2.28734i | −0.0787800 | + | 0.0787800i | ||||
\(844\) | 8.24147 | + | 6.75527i | 0.283683 | + | 0.232526i | ||||
\(845\) | −5.24341 | + | 3.89117i | −0.180379 | + | 0.133860i | ||||
\(846\) | 0.470518 | − | 16.1366i | 0.0161767 | − | 0.554786i | ||||
\(847\) | 11.9944 | − | 6.11146i | 0.412133 | − | 0.209992i | ||||
\(848\) | −11.2750 | + | 16.9184i | −0.387184 | + | 0.580980i | ||||
\(849\) | 25.0288i | 0.858985i | ||||||||
\(850\) | 31.3506 | − | 9.87788i | 1.07532 | − | 0.338809i | ||||
\(851\) | 18.4285i | 0.631720i | ||||||||
\(852\) | 4.40153 | + | 10.0462i | 0.150794 | + | 0.344177i | ||||
\(853\) | 41.0140 | − | 20.8977i | 1.40429 | − | 0.715522i | 0.422657 | − | 0.906290i | \(-0.361098\pi\) |
0.981635 | + | 0.190767i | \(0.0610976\pi\) | |||||||
\(854\) | 16.8526 | + | 0.491398i | 0.576685 | + | 0.0168153i | ||||
\(855\) | −12.6953 | + | 0.128369i | −0.434169 | + | 0.00439014i | ||||
\(856\) | 42.5068 | + | 18.0523i | 1.45285 | + | 0.617016i | ||||
\(857\) | −24.0741 | + | 24.0741i | −0.822356 | + | 0.822356i | −0.986445 | − | 0.164090i | \(-0.947531\pi\) |
0.164090 | + | 0.986445i | \(0.447531\pi\) | |||||||
\(858\) | −22.7912 | − | 4.29417i | −0.778080 | − | 0.146601i | ||||
\(859\) | 20.7492 | + | 15.0752i | 0.707955 | + | 0.514359i | 0.882513 | − | 0.470288i | \(-0.155850\pi\) |
−0.174558 | + | 0.984647i | \(0.555850\pi\) | |||||||
\(860\) | −4.76792 | + | 22.9005i | −0.162585 | + | 0.780901i | ||||
\(861\) | −6.58589 | + | 4.78493i | −0.224447 | + | 0.163070i | ||||
\(862\) | −49.7573 | + | 23.5519i | −1.69474 | + | 0.802180i | ||||
\(863\) | 35.9429 | − | 5.69280i | 1.22351 | − | 0.193785i | 0.488940 | − | 0.872317i | \(-0.337384\pi\) |
0.734571 | + | 0.678532i | \(0.237384\pi\) | |||||||
\(864\) | 25.6914 | − | 13.4592i | 0.874041 | − | 0.457891i | ||||
\(865\) | −11.6675 | + | 1.96908i | −0.396706 | + | 0.0669506i | ||||
\(866\) | −9.56654 | + | 26.7622i | −0.325084 | + | 0.909416i | ||||
\(867\) | −2.18514 | + | 4.28858i | −0.0742113 | + | 0.145648i | ||||
\(868\) | −1.66370 | − | 0.363973i | −0.0564695 | − | 0.0123540i | ||||
\(869\) | 67.3407 | − | 21.8803i | 2.28438 | − | 0.742239i | ||||
\(870\) | 20.2404 | + | 29.0040i | 0.686213 | + | 0.983329i | ||||
\(871\) | −10.9198 | − | 3.54806i | −0.370004 | − | 0.120222i | ||||
\(872\) | 9.54029 | − | 38.2340i | 0.323075 | − | 1.29477i | ||||
\(873\) | −27.8334 | − | 4.40837i | −0.942017 | − | 0.149201i | ||||
\(874\) | 11.2778 | − | 3.30423i | 0.381478 | − | 0.111767i | ||||
\(875\) | 10.9846 | − | 2.08310i | 0.371346 | − | 0.0704217i | ||||
\(876\) | 8.77773 | + | 13.6939i | 0.296572 | + | 0.462675i | ||||
\(877\) | −4.07638 | + | 25.7372i | −0.137649 | + | 0.869085i | 0.818137 | + | 0.575023i | \(0.195007\pi\) |
−0.955787 | + | 0.294061i | \(0.904993\pi\) | |||||||
\(878\) | 3.26548 | − | 3.08044i | 0.110205 | − | 0.103960i | ||||
\(879\) | −4.10254 | + | 12.6263i | −0.138375 | + | 0.425875i | ||||
\(880\) | −43.9866 | − | 4.70191i | −1.48279 | − | 0.158501i | ||||
\(881\) | 13.1281 | + | 40.4041i | 0.442296 | + | 1.36125i | 0.885422 | + | 0.464788i | \(0.153870\pi\) |
−0.443125 | + | 0.896460i | \(0.646130\pi\) | |||||||
\(882\) | 2.36908 | + | 1.29543i | 0.0797711 | + | 0.0436195i | ||||
\(883\) | 15.9629 | + | 8.13350i | 0.537194 | + | 0.273714i | 0.701468 | − | 0.712701i | \(-0.252528\pi\) |
−0.164274 | + | 0.986415i | \(0.552528\pi\) | |||||||
\(884\) | −1.71988 | + | 29.4669i | −0.0578459 | + | 0.991078i | ||||
\(885\) | 3.85906 | + | 22.8663i | 0.129721 | + | 0.768642i | ||||
\(886\) | 4.58832 | − | 5.94298i | 0.154148 | − | 0.199658i | ||||
\(887\) | −0.595530 | − | 3.76003i | −0.0199960 | − | 0.126249i | 0.975671 | − | 0.219239i | \(-0.0703576\pi\) |
−0.995667 | + | 0.0929899i | \(0.970358\pi\) | |||||||
\(888\) | −16.5188 | − | 10.3263i | −0.554335 | − | 0.346529i | ||||
\(889\) | −10.0214 | − | 13.7933i | −0.336108 | − | 0.462613i | ||||
\(890\) | 30.7487 | + | 16.4120i | 1.03070 | + | 0.550131i | ||||
\(891\) | 1.08487 | − | 1.49320i | 0.0363446 | − | 0.0500241i | ||||
\(892\) | −3.38807 | − | 34.1879i | −0.113441 | − | 1.14469i | ||||
\(893\) | 12.5721 | + | 12.5721i | 0.420708 | + | 0.420708i | ||||
\(894\) | 1.03794 | − | 0.708828i | 0.0347140 | − | 0.0237068i | ||||
\(895\) | 0.182206 | + | 18.0195i | 0.00609046 | + | 0.602324i | ||||
\(896\) | −11.2452 | + | 1.24321i | −0.375676 | + | 0.0415327i | ||||
\(897\) | 4.20644 | + | 8.25561i | 0.140449 | + | 0.275647i | ||||
\(898\) | 2.12677 | + | 16.5338i | 0.0709713 | + | 0.551740i | ||||
\(899\) | −9.11909 | −0.304139 | ||||||||
\(900\) | −5.20445 | − | 18.3698i | −0.173482 | − | 0.612325i | ||||
\(901\) | −23.6274 | −0.787144 | ||||||||
\(902\) | −6.95573 | − | 54.0747i | −0.231601 | − | 1.80049i | ||||
\(903\) | −2.47998 | − | 4.86724i | −0.0825286 | − | 0.161972i | ||||
\(904\) | 16.3641 | + | 27.2458i | 0.544261 | + | 0.906180i | ||||
\(905\) | 3.70270 | + | 4.98945i | 0.123082 | + | 0.165855i | ||||
\(906\) | 1.27605 | − | 0.871434i | 0.0423938 | − | 0.0289515i | ||||
\(907\) | 8.42387 | + | 8.42387i | 0.279710 | + | 0.279710i | 0.832993 | − | 0.553283i | \(-0.186625\pi\) |
−0.553283 | + | 0.832993i | \(0.686625\pi\) | |||||||
\(908\) | 4.68352 | − | 0.464144i | 0.155428 | − | 0.0154032i | ||||
\(909\) | 1.98016 | − | 2.72546i | 0.0656779 | − | 0.0903979i | ||||
\(910\) | −1.75908 | + | 9.88457i | −0.0583130 | + | 0.327670i | ||||
\(911\) | 15.5112 | + | 21.3493i | 0.513908 | + | 0.707333i | 0.984572 | − | 0.174979i | \(-0.0559858\pi\) |
−0.470664 | + | 0.882312i | \(0.655986\pi\) | |||||||
\(912\) | −3.35765 | + | 11.9607i | −0.111183 | + | 0.396057i | ||||
\(913\) | −9.88184 | − | 62.3915i | −0.327041 | − | 2.06486i | ||||
\(914\) | 17.7205 | − | 22.9524i | 0.586143 | − | 0.759197i | ||||
\(915\) | 27.5405 | + | 4.07698i | 0.910461 | + | 0.134781i | ||||
\(916\) | 13.6774 | + | 0.798304i | 0.451914 | + | 0.0263767i | ||||
\(917\) | 11.6377 | + | 5.92971i | 0.384311 | + | 0.195816i | ||||
\(918\) | 29.5733 | + | 16.1709i | 0.976063 | + | 0.533719i | ||||
\(919\) | −14.1627 | − | 43.5884i | −0.467186 | − | 1.43785i | −0.856213 | − | 0.516623i | \(-0.827189\pi\) |
0.389027 | − | 0.921226i | \(-0.372811\pi\) | |||||||
\(920\) | 9.25225 | + | 15.0577i | 0.305038 | + | 0.496438i | ||||
\(921\) | 9.88880 | − | 30.4346i | 0.325847 | − | 1.00285i | ||||
\(922\) | 9.30430 | − | 8.77707i | 0.306421 | − | 0.289058i | ||||
\(923\) | −2.60799 | + | 16.4662i | −0.0858431 | + | 0.541992i | ||||
\(924\) | 8.69732 | − | 5.57493i | 0.286121 | − | 0.183402i | ||||
\(925\) | −22.8402 | + | 23.7831i | −0.750980 | + | 0.781984i | ||||
\(926\) | 42.1506 | − | 12.3495i | 1.38516 | − | 0.405830i | ||||
\(927\) | 20.8815 | + | 3.30731i | 0.685839 | + | 0.108626i | ||||
\(928\) | −57.3994 | + | 19.3718i | −1.88423 | + | 0.635910i | ||||
\(929\) | −48.9677 | − | 15.9106i | −1.60658 | − | 0.522009i | −0.637855 | − | 0.770156i | \(-0.720178\pi\) |
−0.968722 | + | 0.248148i | \(0.920178\pi\) | |||||||
\(930\) | −2.65757 | − | 0.919792i | −0.0871453 | − | 0.0301612i | ||||
\(931\) | −2.82824 | + | 0.918951i | −0.0926918 | + | 0.0301174i | ||||
\(932\) | −6.14393 | + | 28.0835i | −0.201251 | + | 0.919907i | ||||
\(933\) | −1.52782 | + | 2.99851i | −0.0500186 | + | 0.0981670i | ||||
\(934\) | 10.0337 | − | 28.0691i | 0.328313 | − | 0.918450i | ||||
\(935\) | −23.8013 | − | 45.5677i | −0.778386 | − | 1.49022i | ||||
\(936\) | 17.0797 | + | 1.49745i | 0.558267 | + | 0.0489457i | ||||
\(937\) | 16.1380 | − | 2.55601i | 0.527206 | − | 0.0835013i | 0.112843 | − | 0.993613i | \(-0.464004\pi\) |
0.414363 | + | 0.910112i | \(0.364004\pi\) | |||||||
\(938\) | 4.62271 | − | 2.18809i | 0.150937 | − | 0.0714437i | ||||
\(939\) | −19.2113 | + | 13.9578i | −0.626936 | + | 0.455496i | ||||
\(940\) | −13.2722 | + | 23.2112i | −0.432892 | + | 0.757066i | ||||
\(941\) | 24.9534 | + | 18.1297i | 0.813458 | + | 0.591012i | 0.914831 | − | 0.403837i | \(-0.132324\pi\) |
−0.101373 | + | 0.994848i | \(0.532324\pi\) | |||||||
\(942\) | 13.9568 | + | 2.62964i | 0.454736 | + | 0.0856783i | ||||
\(943\) | −15.4017 | + | 15.4017i | −0.501547 | + | 0.501547i | ||||
\(944\) | −39.4506 | − | 4.62094i | −1.28401 | − | 0.150399i | ||||
\(945\) | 9.34273 | + | 6.64461i | 0.303919 | + | 0.216149i | ||||
\(946\) | 36.5694 | + | 1.06631i | 1.18897 | + | 0.0346687i | ||||
\(947\) | −42.2678 | + | 21.5365i | −1.37352 | + | 0.699843i | −0.976004 | − | 0.217753i | \(-0.930127\pi\) |
−0.397515 | + | 0.917596i | \(0.630127\pi\) | |||||||
\(948\) | 27.3896 | − | 12.0002i | 0.889572 | − | 0.389748i | ||||
\(949\) | 24.7237i | 0.802566i | ||||||||
\(950\) | 18.6500 | + | 9.71333i | 0.605085 | + | 0.315142i | ||||
\(951\) | 10.0075i | 0.324516i | ||||||||
\(952\) | −8.44950 | − | 10.0735i | −0.273850 | − | 0.326484i | ||||
\(953\) | 24.3099 | − | 12.3865i | 0.787474 | − | 0.401238i | −0.0135216 | − | 0.999909i | \(-0.504304\pi\) |
0.800995 | + | 0.598671i | \(0.204304\pi\) | |||||||
\(954\) | −0.400007 | + | 13.7184i | −0.0129507 | + | 0.444148i | ||||
\(955\) | 14.0107 | − | 44.6518i | 0.453376 | − | 1.44490i | ||||
\(956\) | −28.2996 | + | 34.5257i | −0.915274 | + | 1.11664i | ||||
\(957\) | 39.1147 | − | 39.1147i | 1.26440 | − | 1.26440i | ||||
\(958\) | 4.45565 | − | 23.6483i | 0.143955 | − | 0.764042i | ||||
\(959\) | 13.7977 | + | 10.0247i | 0.445553 | + | 0.323713i | ||||
\(960\) | −18.6818 | − | 0.144049i | −0.602953 | − | 0.00464917i | ||||
\(961\) | −24.4929 | + | 17.7951i | −0.790094 | + | 0.574037i | ||||
\(962\) | −12.6683 | − | 26.7640i | −0.408444 | − | 0.862906i | ||||
\(963\) | 30.7901 | − | 4.87667i | 0.992197 | − | 0.157149i | ||||
\(964\) | −18.5617 | − | 7.25198i | −0.597832 | − | 0.233570i | ||||
\(965\) | 5.45626 | + | 2.71096i | 0.175643 | + | 0.0872690i | ||||
\(966\) | −3.88635 | − | 1.38924i | −0.125041 | − | 0.0446979i | ||||
\(967\) | −1.10017 | + | 2.15921i | −0.0353792 | + | 0.0694355i | −0.908019 | − | 0.418928i | \(-0.862406\pi\) |
0.872640 | + | 0.488363i | \(0.162406\pi\) | |||||||
\(968\) | 2.64900 | + | 37.9830i | 0.0851420 | + | 1.22082i | ||||
\(969\) | −13.7305 | + | 4.46132i | −0.441088 | + | 0.143318i | ||||
\(970\) | 37.2311 | + | 28.1483i | 1.19542 | + | 0.903787i | ||||
\(971\) | 38.3672 | + | 12.4663i | 1.23126 | + | 0.400061i | 0.851171 | − | 0.524888i | \(-0.175893\pi\) |
0.380090 | + | 0.924949i | \(0.375893\pi\) | |||||||
\(972\) | 15.9331 | − | 27.2222i | 0.511056 | − | 0.873154i | ||||
\(973\) | −6.14856 | − | 0.973835i | −0.197114 | − | 0.0312197i | ||||
\(974\) | 11.4682 | + | 39.1427i | 0.367466 | + | 1.25421i | ||||
\(975\) | −4.80327 | + | 15.8678i | −0.153828 | + | 0.508177i | ||||
\(976\) | −19.9121 | + | 43.3305i | −0.637372 | + | 1.38697i | ||||
\(977\) | 2.36459 | − | 14.9294i | 0.0756498 | − | 0.477634i | −0.920556 | − | 0.390610i | \(-0.872264\pi\) |
0.996206 | − | 0.0870244i | \(-0.0277358\pi\) | |||||||
\(978\) | −13.4419 | − | 14.2494i | −0.429825 | − | 0.455644i | ||||
\(979\) | 16.8455 | − | 51.8451i | 0.538385 | − | 1.65698i | ||||
\(980\) | −2.45132 | − | 3.74046i | −0.0783046 | − | 0.119485i | ||||
\(981\) | −8.22001 | − | 25.2986i | −0.262445 | − | 0.807722i | ||||
\(982\) | −6.03559 | + | 11.0379i | −0.192603 | + | 0.352232i | ||||
\(983\) | 20.3073 | + | 10.3471i | 0.647701 | + | 0.330020i | 0.746792 | − | 0.665058i | \(-0.231593\pi\) |
−0.0990903 | + | 0.995078i | \(0.531593\pi\) | |||||||
\(984\) | −5.17539 | − | 22.4359i | −0.164985 | − | 0.715232i | ||||
\(985\) | 21.5060 | + | 21.0754i | 0.685237 | + | 0.671518i | ||||
\(986\) | −55.7261 | − | 43.0237i | −1.77468 | − | 1.37015i | ||||
\(987\) | −0.976789 | − | 6.16720i | −0.0310915 | − | 0.196304i | ||||
\(988\) | −14.1075 | + | 12.5515i | −0.448820 | + | 0.399317i | ||||
\(989\) | −8.59105 | − | 11.8246i | −0.273180 | − | 0.375999i | ||||
\(990\) | −26.8601 | + | 13.0479i | −0.853670 | + | 0.414688i | ||||
\(991\) | −15.5434 | + | 21.3936i | −0.493751 | + | 0.679590i | −0.981074 | − | 0.193632i | \(-0.937973\pi\) |
0.487323 | + | 0.873222i | \(0.337973\pi\) | |||||||
\(992\) | 2.78700 | − | 3.92881i | 0.0884872 | − | 0.124740i | ||||
\(993\) | −6.24095 | − | 6.24095i | −0.198051 | − | 0.198051i | ||||
\(994\) | −4.18799 | − | 6.13250i | −0.132835 | − | 0.194511i | ||||
\(995\) | 40.2736 | − | 13.5374i | 1.27676 | − | 0.429164i | ||||
\(996\) | −6.75151 | − | 25.8093i | −0.213930 | − | 0.817799i | ||||
\(997\) | 0.998643 | + | 1.95995i | 0.0316273 | + | 0.0620722i | 0.906279 | − | 0.422679i | \(-0.138910\pi\) |
−0.874652 | + | 0.484751i | \(0.838910\pi\) | |||||||
\(998\) | 24.2161 | − | 3.11496i | 0.766548 | − | 0.0986025i | ||||
\(999\) | −33.8128 | −1.06979 |
(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 | 700.2.bj.a.323.85 | yes | 720 | |
4.3 | odd | 2 | inner | 700.2.bj.a.323.14 | ✓ | 720 | |
25.12 | odd | 20 | inner | 700.2.bj.a.687.14 | yes | 720 | |
100.87 | even | 20 | inner | 700.2.bj.a.687.85 | yes | 720 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
700.2.bj.a.323.14 | ✓ | 720 | 4.3 | odd | 2 | inner | |
700.2.bj.a.323.85 | yes | 720 | 1.1 | even | 1 | trivial | |
700.2.bj.a.687.14 | yes | 720 | 25.12 | odd | 20 | inner | |
700.2.bj.a.687.85 | yes | 720 | 100.87 | even | 20 | inner |