Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [67,2,Mod(9,67)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(67, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("67.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 67.e (of order \(11\), degree \(10\), 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: | \(0.534997693543\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{11})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} - 7 x^{19} + 39 x^{18} - 148 x^{17} + 492 x^{16} - 1282 x^{15} + 2921 x^{14} - 4316 x^{13} + \cdots + 4489 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 14.1 | ||
Root | \(-0.625078 + 0.721379i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 67.14 |
Dual form | 67.2.e.c.24.1 |
$q$-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 \(\left(\mathbb{Z}/67\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{4}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.797176 | − | 1.74557i | −0.563688 | − | 1.23431i | −0.950090 | − | 0.311975i | \(-0.899010\pi\) |
0.386402 | − | 0.922330i | \(-0.373718\pi\) | |||||||
\(3\) | −2.14425 | − | 1.37802i | −1.23798 | − | 0.795603i | −0.252867 | − | 0.967501i | \(-0.581374\pi\) |
−0.985115 | + | 0.171898i | \(0.945010\pi\) | |||||||
\(4\) | −1.10181 | + | 1.27155i | −0.550904 | + | 0.635777i | ||||
\(5\) | 0.201991 | + | 1.40488i | 0.0903332 | + | 0.628282i | 0.983816 | + | 0.179183i | \(0.0573455\pi\) |
−0.893482 | + | 0.449098i | \(0.851745\pi\) | |||||||
\(6\) | −0.696097 | + | 4.84146i | −0.284181 | + | 1.97652i | ||||
\(7\) | −0.918948 | − | 2.01222i | −0.347330 | − | 0.760546i | −0.999996 | − | 0.00290030i | \(-0.999077\pi\) |
0.652666 | − | 0.757646i | \(-0.273650\pi\) | |||||||
\(8\) | −0.584585 | − | 0.171650i | −0.206682 | − | 0.0606873i | ||||
\(9\) | 1.45260 | + | 3.18076i | 0.484201 | + | 1.06025i | ||||
\(10\) | 2.29130 | − | 1.47253i | 0.724571 | − | 0.465654i | ||||
\(11\) | −0.553204 | − | 3.84762i | −0.166797 | − | 1.16010i | −0.885451 | − | 0.464733i | \(-0.846150\pi\) |
0.718654 | − | 0.695368i | \(-0.244759\pi\) | |||||||
\(12\) | 4.11478 | − | 1.20821i | 1.18784 | − | 0.348780i | ||||
\(13\) | 6.05411 | − | 1.77765i | 1.67911 | − | 0.493030i | 0.703159 | − | 0.711033i | \(-0.251772\pi\) |
0.975948 | + | 0.218002i | \(0.0699540\pi\) | |||||||
\(14\) | −2.77990 | + | 3.20818i | −0.742960 | + | 0.857422i | ||||
\(15\) | 1.50284 | − | 3.29076i | 0.388032 | − | 0.849671i | ||||
\(16\) | 0.645282 | + | 4.48803i | 0.161320 | + | 1.12201i | ||||
\(17\) | −2.92877 | − | 3.37998i | −0.710331 | − | 0.819765i | 0.279778 | − | 0.960065i | \(-0.409739\pi\) |
−0.990109 | + | 0.140299i | \(0.955194\pi\) | |||||||
\(18\) | 4.39426 | − | 5.07124i | 1.03574 | − | 1.19530i | ||||
\(19\) | −0.654654 | + | 1.43349i | −0.150188 | + | 0.328866i | −0.969740 | − | 0.244139i | \(-0.921495\pi\) |
0.819553 | + | 0.573004i | \(0.194222\pi\) | |||||||
\(20\) | −2.00894 | − | 1.29107i | −0.449212 | − | 0.288691i | ||||
\(21\) | −0.802430 | + | 5.58102i | −0.175105 | + | 1.21788i | ||||
\(22\) | −6.27529 | + | 4.03289i | −1.33790 | + | 0.859814i | ||||
\(23\) | 4.14315 | + | 2.66264i | 0.863906 | + | 0.555199i | 0.895883 | − | 0.444290i | \(-0.146544\pi\) |
−0.0319769 | + | 0.999489i | \(0.510180\pi\) | |||||||
\(24\) | 1.01696 | + | 1.17363i | 0.207586 | + | 0.239567i | ||||
\(25\) | 2.86458 | − | 0.841116i | 0.572915 | − | 0.168223i | ||||
\(26\) | −7.92919 | − | 9.15078i | −1.55504 | − | 1.79462i | ||||
\(27\) | 0.180192 | − | 1.25327i | 0.0346780 | − | 0.241191i | ||||
\(28\) | 3.57114 | + | 1.04858i | 0.674883 | + | 0.198164i | ||||
\(29\) | −4.86467 | −0.903347 | −0.451674 | − | 0.892183i | \(-0.649173\pi\) | ||||
−0.451674 | + | 0.892183i | \(0.649173\pi\) | |||||||
\(30\) | −6.94228 | −1.26748 | ||||||||
\(31\) | 7.43776 | + | 2.18392i | 1.33586 | + | 0.392244i | 0.870191 | − | 0.492714i | \(-0.163995\pi\) |
0.465670 | + | 0.884958i | \(0.345813\pi\) | |||||||
\(32\) | 6.29469 | − | 4.04535i | 1.11275 | − | 0.715123i | ||||
\(33\) | −4.11591 | + | 9.01258i | −0.716487 | + | 1.56889i | ||||
\(34\) | −3.56525 | + | 7.80681i | −0.611436 | + | 1.33886i | ||||
\(35\) | 2.64130 | − | 1.69746i | 0.446462 | − | 0.286923i | ||||
\(36\) | −5.64499 | − | 1.65752i | −0.940832 | − | 0.276253i | ||||
\(37\) | −3.80153 | −0.624968 | −0.312484 | − | 0.949923i | \(-0.601161\pi\) | ||||
−0.312484 | + | 0.949923i | \(0.601161\pi\) | |||||||
\(38\) | 3.02414 | 0.490580 | ||||||||
\(39\) | −15.4311 | − | 4.53099i | −2.47096 | − | 0.725540i | ||||
\(40\) | 0.123066 | − | 0.855944i | 0.0194585 | − | 0.135337i | ||||
\(41\) | 4.04946 | + | 4.67333i | 0.632420 | + | 0.729852i | 0.978016 | − | 0.208532i | \(-0.0668685\pi\) |
−0.345596 | + | 0.938384i | \(0.612323\pi\) | |||||||
\(42\) | 10.3817 | − | 3.04836i | 1.60194 | − | 0.470372i | ||||
\(43\) | −7.42037 | − | 8.56356i | −1.13160 | − | 1.30593i | −0.946315 | − | 0.323244i | \(-0.895226\pi\) |
−0.185280 | − | 0.982686i | \(-0.559319\pi\) | |||||||
\(44\) | 5.50198 | + | 3.53591i | 0.829455 | + | 0.533058i | ||||
\(45\) | −4.17517 | + | 2.68322i | −0.622397 | + | 0.399990i | ||||
\(46\) | 1.34501 | − | 9.35475i | 0.198311 | − | 1.37928i | ||||
\(47\) | 4.42323 | + | 2.84264i | 0.645194 | + | 0.414641i | 0.821907 | − | 0.569621i | \(-0.192910\pi\) |
−0.176713 | + | 0.984262i | \(0.556546\pi\) | |||||||
\(48\) | 4.80097 | − | 10.5127i | 0.692961 | − | 1.51737i | ||||
\(49\) | 1.37948 | − | 1.59200i | 0.197068 | − | 0.227429i | ||||
\(50\) | −3.75180 | − | 4.32981i | −0.530584 | − | 0.612327i | ||||
\(51\) | 1.62231 | + | 11.2834i | 0.227169 | + | 1.58000i | ||||
\(52\) | −4.41009 | + | 9.65675i | −0.611569 | + | 1.33915i | ||||
\(53\) | −0.289752 | + | 0.334391i | −0.0398005 | + | 0.0459322i | −0.775301 | − | 0.631592i | \(-0.782402\pi\) |
0.735500 | + | 0.677524i | \(0.236947\pi\) | |||||||
\(54\) | −2.33131 | + | 0.684534i | −0.317251 | + | 0.0931533i | ||||
\(55\) | 5.29370 | − | 1.55437i | 0.713803 | − | 0.209591i | ||||
\(56\) | 0.191807 | + | 1.33405i | 0.0256313 | + | 0.178270i | ||||
\(57\) | 3.37913 | − | 2.17163i | 0.447576 | − | 0.287640i | ||||
\(58\) | 3.87800 | + | 8.49163i | 0.509206 | + | 1.11501i | ||||
\(59\) | 2.98896 | + | 0.877638i | 0.389129 | + | 0.114259i | 0.470444 | − | 0.882430i | \(-0.344094\pi\) |
−0.0813148 | + | 0.996688i | \(0.525912\pi\) | |||||||
\(60\) | 2.52854 | + | 5.53673i | 0.326433 | + | 0.714788i | ||||
\(61\) | 0.240303 | − | 1.67134i | 0.0307676 | − | 0.213993i | −0.968638 | − | 0.248478i | \(-0.920070\pi\) |
0.999405 | + | 0.0344843i | \(0.0109789\pi\) | |||||||
\(62\) | −2.11701 | − | 14.7241i | −0.268860 | − | 1.86996i | ||||
\(63\) | 5.06550 | − | 5.84590i | 0.638193 | − | 0.736514i | ||||
\(64\) | −4.45062 | − | 2.86024i | −0.556327 | − | 0.357530i | ||||
\(65\) | 3.72026 | + | 8.14623i | 0.461441 | + | 1.01042i | ||||
\(66\) | 19.0132 | 2.34036 | ||||||||
\(67\) | −7.70184 | + | 2.77157i | −0.940930 | + | 0.338602i | ||||
\(68\) | 7.52477 | 0.912512 | ||||||||
\(69\) | −5.21475 | − | 11.4187i | −0.627783 | − | 1.37465i | ||||
\(70\) | −5.06862 | − | 3.25741i | −0.605816 | − | 0.389334i | ||||
\(71\) | 2.25142 | − | 2.59828i | 0.267195 | − | 0.308359i | −0.606258 | − | 0.795268i | \(-0.707330\pi\) |
0.873453 | + | 0.486909i | \(0.161876\pi\) | |||||||
\(72\) | −0.303194 | − | 2.10876i | −0.0357318 | − | 0.248520i | ||||
\(73\) | −1.34946 | + | 9.38572i | −0.157943 | + | 1.09852i | 0.744474 | + | 0.667651i | \(0.232700\pi\) |
−0.902417 | + | 0.430864i | \(0.858209\pi\) | |||||||
\(74\) | 3.03049 | + | 6.63584i | 0.352287 | + | 0.771401i | ||||
\(75\) | −7.30144 | − | 2.14390i | −0.843098 | − | 0.247556i | ||||
\(76\) | −1.10146 | − | 2.41186i | −0.126346 | − | 0.276659i | ||||
\(77\) | −7.23387 | + | 4.64893i | −0.824376 | + | 0.529795i | ||||
\(78\) | 4.39216 | + | 30.5482i | 0.497314 | + | 3.45890i | ||||
\(79\) | −6.91577 | + | 2.03065i | −0.778085 | + | 0.228467i | −0.646577 | − | 0.762849i | \(-0.723800\pi\) |
−0.131508 | + | 0.991315i | \(0.541982\pi\) | |||||||
\(80\) | −6.17481 | + | 1.81309i | −0.690364 | + | 0.202709i | ||||
\(81\) | 4.75625 | − | 5.48900i | 0.528472 | − | 0.609889i | ||||
\(82\) | 4.92950 | − | 10.7941i | 0.544372 | − | 1.19201i | ||||
\(83\) | −0.0107435 | − | 0.0747227i | −0.00117925 | − | 0.00820188i | 0.989223 | − | 0.146415i | \(-0.0467733\pi\) |
−0.990403 | + | 0.138213i | \(0.955864\pi\) | |||||||
\(84\) | −6.21245 | − | 7.16955i | −0.677834 | − | 0.782262i | ||||
\(85\) | 4.15688 | − | 4.79730i | 0.450877 | − | 0.520340i | ||||
\(86\) | −9.03296 | + | 19.7794i | −0.974050 | + | 2.13287i | ||||
\(87\) | 10.4311 | + | 6.70364i | 1.11833 | + | 0.718705i | ||||
\(88\) | −0.337048 | + | 2.34422i | −0.0359294 | + | 0.249894i | ||||
\(89\) | 4.17767 | − | 2.68483i | 0.442832 | − | 0.284591i | −0.300163 | − | 0.953888i | \(-0.597041\pi\) |
0.742995 | + | 0.669297i | \(0.233405\pi\) | |||||||
\(90\) | 8.01209 | + | 5.14906i | 0.844548 | + | 0.542758i | ||||
\(91\) | −9.14042 | − | 10.5486i | −0.958176 | − | 1.10579i | ||||
\(92\) | −7.95064 | + | 2.33452i | −0.828912 | + | 0.243391i | ||||
\(93\) | −12.9389 | − | 14.9323i | −1.34170 | − | 1.54841i | ||||
\(94\) | 1.43593 | − | 9.98714i | 0.148105 | − | 1.03009i | ||||
\(95\) | −2.14612 | − | 0.630157i | −0.220187 | − | 0.0646528i | ||||
\(96\) | −19.0720 | −1.94652 | ||||||||
\(97\) | −7.27011 | −0.738168 | −0.369084 | − | 0.929396i | \(-0.620328\pi\) | ||||
−0.369084 | + | 0.929396i | \(0.620328\pi\) | |||||||
\(98\) | −3.87864 | − | 1.13887i | −0.391802 | − | 0.115043i | ||||
\(99\) | 11.4348 | − | 7.34867i | 1.14924 | − | 0.738569i | ||||
\(100\) | −2.08669 | + | 4.56921i | −0.208669 | + | 0.456921i | ||||
\(101\) | 8.27537 | − | 18.1205i | 0.823430 | − | 1.80306i | 0.290578 | − | 0.956851i | \(-0.406152\pi\) |
0.532852 | − | 0.846208i | \(-0.321120\pi\) | |||||||
\(102\) | 18.4028 | − | 11.8267i | 1.82214 | − | 1.17102i | ||||
\(103\) | 9.12973 | + | 2.68073i | 0.899579 | + | 0.264140i | 0.698648 | − | 0.715465i | \(-0.253785\pi\) |
0.200931 | + | 0.979605i | \(0.435603\pi\) | |||||||
\(104\) | −3.84427 | −0.376962 | ||||||||
\(105\) | −8.00275 | −0.780988 | ||||||||
\(106\) | 0.814687 | + | 0.239214i | 0.0791294 | + | 0.0232345i | ||||
\(107\) | −1.61618 | + | 11.2408i | −0.156242 | + | 1.08669i | 0.749238 | + | 0.662301i | \(0.230420\pi\) |
−0.905480 | + | 0.424389i | \(0.860489\pi\) | |||||||
\(108\) | 1.39506 | + | 1.60998i | 0.134239 | + | 0.154921i | ||||
\(109\) | −2.35779 | + | 0.692309i | −0.225835 | + | 0.0663112i | −0.392692 | − | 0.919670i | \(-0.628456\pi\) |
0.166857 | + | 0.985981i | \(0.446638\pi\) | |||||||
\(110\) | −6.93327 | − | 8.00143i | −0.661062 | − | 0.762906i | ||||
\(111\) | 8.15142 | + | 5.23860i | 0.773699 | + | 0.497226i | ||||
\(112\) | 8.43791 | − | 5.42271i | 0.797307 | − | 0.512398i | ||||
\(113\) | −0.875744 | + | 6.09093i | −0.0823831 | + | 0.572987i | 0.906262 | + | 0.422717i | \(0.138923\pi\) |
−0.988645 | + | 0.150270i | \(0.951986\pi\) | |||||||
\(114\) | −6.48450 | − | 4.16733i | −0.607329 | − | 0.390306i | ||||
\(115\) | −2.90381 | + | 6.35846i | −0.270782 | + | 0.592929i | ||||
\(116\) | 5.35993 | − | 6.18569i | 0.497657 | − | 0.574327i | ||||
\(117\) | 14.4485 | + | 16.6744i | 1.33576 | + | 1.54155i | ||||
\(118\) | −0.850747 | − | 5.91707i | −0.0783176 | − | 0.544711i | ||||
\(119\) | −4.10986 | + | 8.99934i | −0.376750 | + | 0.824968i | ||||
\(120\) | −1.44340 | + | 1.66577i | −0.131763 | + | 0.152063i | ||||
\(121\) | −3.94372 | + | 1.15798i | −0.358520 | + | 0.105271i | ||||
\(122\) | −3.10901 | + | 0.912887i | −0.281476 | + | 0.0826489i | ||||
\(123\) | −2.24309 | − | 15.6010i | −0.202253 | − | 1.40670i | ||||
\(124\) | −10.9720 | + | 7.05125i | −0.985311 | + | 0.633221i | ||||
\(125\) | 4.70833 | + | 10.3098i | 0.421126 | + | 0.922138i | ||||
\(126\) | −14.2425 | − | 4.18198i | −1.26882 | − | 0.372561i | ||||
\(127\) | 2.39991 | + | 5.25506i | 0.212957 | + | 0.466312i | 0.985722 | − | 0.168381i | \(-0.0538540\pi\) |
−0.772765 | + | 0.634693i | \(0.781127\pi\) | |||||||
\(128\) | 0.684919 | − | 4.76371i | 0.0605388 | − | 0.421057i | ||||
\(129\) | 4.11031 | + | 28.5878i | 0.361893 | + | 2.51702i | ||||
\(130\) | 11.2541 | − | 12.9879i | 0.987051 | − | 1.13912i | ||||
\(131\) | 6.10487 | + | 3.92336i | 0.533385 | + | 0.342786i | 0.779447 | − | 0.626468i | \(-0.215500\pi\) |
−0.246062 | + | 0.969254i | \(0.579137\pi\) | |||||||
\(132\) | −6.92504 | − | 15.1637i | −0.602748 | − | 1.31983i | ||||
\(133\) | 3.48609 | 0.302282 | ||||||||
\(134\) | 10.9777 | + | 11.2347i | 0.948329 | + | 0.970529i | ||||
\(135\) | 1.79708 | 0.154668 | ||||||||
\(136\) | 1.13194 | + | 2.47861i | 0.0970632 | + | 0.212539i | ||||
\(137\) | 7.24755 | + | 4.65772i | 0.619200 | + | 0.397936i | 0.812297 | − | 0.583244i | \(-0.198217\pi\) |
−0.193097 | + | 0.981180i | \(0.561853\pi\) | |||||||
\(138\) | −15.7751 | + | 18.2054i | −1.34287 | + | 1.54975i | ||||
\(139\) | 0.0862444 | + | 0.599843i | 0.00731515 | + | 0.0508780i | 0.993152 | − | 0.116829i | \(-0.0372729\pi\) |
−0.985837 | + | 0.167707i | \(0.946364\pi\) | |||||||
\(140\) | −0.751793 | + | 5.22884i | −0.0635381 | + | 0.441917i | ||||
\(141\) | −5.56728 | − | 12.1906i | −0.468849 | − | 1.02664i | ||||
\(142\) | −6.33026 | − | 1.85873i | −0.531224 | − | 0.155981i | ||||
\(143\) | −10.1889 | − | 22.3105i | −0.852036 | − | 1.86570i | ||||
\(144\) | −13.3380 | + | 8.57181i | −1.11150 | + | 0.714318i | ||||
\(145\) | −0.982622 | − | 6.83428i | −0.0816023 | − | 0.567556i | ||||
\(146\) | 17.4592 | − | 5.12648i | 1.44493 | − | 0.424271i | ||||
\(147\) | −5.15177 | + | 1.51269i | −0.424910 | + | 0.124765i | ||||
\(148\) | 4.18856 | − | 4.83385i | 0.344297 | − | 0.397340i | ||||
\(149\) | 1.31795 | − | 2.88590i | 0.107971 | − | 0.236422i | −0.847933 | − | 0.530103i | \(-0.822153\pi\) |
0.955903 | + | 0.293681i | \(0.0948804\pi\) | |||||||
\(150\) | 2.07821 | + | 14.4542i | 0.169685 | + | 1.18018i | ||||
\(151\) | 2.36476 | + | 2.72908i | 0.192441 | + | 0.222089i | 0.843768 | − | 0.536709i | \(-0.180333\pi\) |
−0.651326 | + | 0.758798i | \(0.725787\pi\) | |||||||
\(152\) | 0.628759 | − | 0.725627i | 0.0509991 | − | 0.0588561i | ||||
\(153\) | 6.49655 | − | 14.2255i | 0.525215 | − | 1.15006i | ||||
\(154\) | 13.8817 | + | 8.92123i | 1.11862 | + | 0.718893i | ||||
\(155\) | −1.56579 | + | 10.8903i | −0.125767 | + | 0.874730i | ||||
\(156\) | 22.7636 | − | 14.6293i | 1.82254 | − | 1.17128i | ||||
\(157\) | 5.76957 | + | 3.70788i | 0.460462 | + | 0.295921i | 0.750231 | − | 0.661176i | \(-0.229942\pi\) |
−0.289769 | + | 0.957097i | \(0.593579\pi\) | |||||||
\(158\) | 9.05774 | + | 10.4532i | 0.720595 | + | 0.831611i | ||||
\(159\) | 1.08210 | − | 0.317733i | 0.0858160 | − | 0.0251979i | ||||
\(160\) | 6.95470 | + | 8.02615i | 0.549817 | + | 0.634523i | ||||
\(161\) | 1.55047 | − | 10.7837i | 0.122194 | − | 0.849877i | ||||
\(162\) | −13.3730 | − | 3.92667i | −1.05068 | − | 0.308508i | ||||
\(163\) | 12.7790 | 1.00092 | 0.500462 | − | 0.865758i | \(-0.333163\pi\) | ||||
0.500462 | + | 0.865758i | \(0.333163\pi\) | |||||||
\(164\) | −10.4041 | −0.812426 | ||||||||
\(165\) | −13.4930 | − | 3.96189i | −1.05043 | − | 0.308433i | ||||
\(166\) | −0.121869 | + | 0.0783206i | −0.00945889 | + | 0.00607886i | ||||
\(167\) | 2.71118 | − | 5.93665i | 0.209797 | − | 0.459392i | −0.775255 | − | 0.631649i | \(-0.782379\pi\) |
0.985052 | + | 0.172257i | \(0.0551058\pi\) | |||||||
\(168\) | 1.42707 | − | 3.12484i | 0.110101 | − | 0.241087i | ||||
\(169\) | 22.5559 | − | 14.4958i | 1.73507 | − | 1.11506i | ||||
\(170\) | −11.6878 | − | 3.43184i | −0.896412 | − | 0.263210i | ||||
\(171\) | −5.51054 | −0.421401 | ||||||||
\(172\) | 19.0648 | 1.45368 | ||||||||
\(173\) | −2.34216 | − | 0.687720i | −0.178071 | − | 0.0522864i | 0.191481 | − | 0.981496i | \(-0.438671\pi\) |
−0.369552 | + | 0.929210i | \(0.620489\pi\) | |||||||
\(174\) | 3.38629 | − | 23.5521i | 0.256714 | − | 1.78548i | ||||
\(175\) | −4.32490 | − | 4.99120i | −0.326932 | − | 0.377300i | ||||
\(176\) | 16.9113 | − | 4.96560i | 1.27473 | − | 0.374296i | ||||
\(177\) | −5.19966 | − | 6.00073i | −0.390831 | − | 0.451043i | ||||
\(178\) | −8.01689 | − | 5.15214i | −0.600891 | − | 0.386170i | ||||
\(179\) | 0.889847 | − | 0.571870i | 0.0665103 | − | 0.0427436i | −0.506963 | − | 0.861968i | \(-0.669232\pi\) |
0.573473 | + | 0.819224i | \(0.305596\pi\) | |||||||
\(180\) | 1.18838 | − | 8.26534i | 0.0885764 | − | 0.616062i | ||||
\(181\) | 3.54707 | + | 2.27956i | 0.263652 | + | 0.169439i | 0.665788 | − | 0.746141i | \(-0.268096\pi\) |
−0.402136 | + | 0.915580i | \(0.631732\pi\) | |||||||
\(182\) | −11.1268 | + | 24.3643i | −0.824775 | + | 1.80600i | ||||
\(183\) | −2.81842 | + | 3.25263i | −0.208343 | + | 0.240441i | ||||
\(184\) | −1.96498 | − | 2.26771i | −0.144860 | − | 0.167178i | ||||
\(185\) | −0.767876 | − | 5.34069i | −0.0564554 | − | 0.392656i | ||||
\(186\) | −15.7508 | + | 34.4894i | −1.15490 | + | 2.52889i | ||||
\(187\) | −11.3847 | + | 13.1386i | −0.832529 | + | 0.960790i | ||||
\(188\) | −8.48811 | + | 2.49234i | −0.619059 | + | 0.181772i | ||||
\(189\) | −2.68743 | + | 0.789100i | −0.195482 | + | 0.0573986i | ||||
\(190\) | 0.610849 | + | 4.24855i | 0.0443156 | + | 0.308222i | ||||
\(191\) | −10.0172 | + | 6.43764i | −0.724816 | + | 0.465811i | −0.850309 | − | 0.526283i | \(-0.823585\pi\) |
0.125493 | + | 0.992094i | \(0.459949\pi\) | |||||||
\(192\) | 5.60175 | + | 12.2661i | 0.404271 | + | 0.885231i | ||||
\(193\) | −9.43198 | − | 2.76948i | −0.678929 | − | 0.199351i | −0.0759534 | − | 0.997111i | \(-0.524200\pi\) |
−0.602975 | + | 0.797760i | \(0.706018\pi\) | |||||||
\(194\) | 5.79555 | + | 12.6905i | 0.416096 | + | 0.911124i | ||||
\(195\) | 3.24855 | − | 22.5941i | 0.232633 | − | 1.61800i | ||||
\(196\) | 0.504398 | + | 3.50816i | 0.0360284 | + | 0.250583i | ||||
\(197\) | −15.2961 | + | 17.6526i | −1.08980 | + | 1.25770i | −0.125725 | + | 0.992065i | \(0.540126\pi\) |
−0.964075 | + | 0.265631i | \(0.914420\pi\) | |||||||
\(198\) | −21.9431 | − | 14.1020i | −1.55943 | − | 1.00218i | ||||
\(199\) | −8.57490 | − | 18.7764i | −0.607859 | − | 1.33102i | −0.924029 | − | 0.382322i | \(-0.875124\pi\) |
0.316170 | − | 0.948702i | \(-0.397603\pi\) | |||||||
\(200\) | −1.81897 | −0.128620 | ||||||||
\(201\) | 20.3340 | + | 4.67038i | 1.43425 | + | 0.329423i | ||||
\(202\) | −38.2276 | −2.68968 | ||||||||
\(203\) | 4.47038 | + | 9.78877i | 0.313759 | + | 0.687037i | ||||
\(204\) | −16.1350 | − | 10.3693i | −1.12967 | − | 0.725997i | ||||
\(205\) | −5.74751 | + | 6.63298i | −0.401424 | + | 0.463268i | ||||
\(206\) | −2.59859 | − | 18.0736i | −0.181053 | − | 1.25925i | ||||
\(207\) | −2.45086 | + | 17.0461i | −0.170347 | + | 1.18479i | ||||
\(208\) | 11.8847 | + | 26.0239i | 0.824058 | + | 1.80444i | ||||
\(209\) | 5.87769 | + | 1.72584i | 0.406568 | + | 0.119379i | ||||
\(210\) | 6.37960 | + | 13.9694i | 0.440234 | + | 0.963978i | ||||
\(211\) | −8.80461 | + | 5.65838i | −0.606134 | + | 0.389539i | −0.807406 | − | 0.589997i | \(-0.799129\pi\) |
0.201271 | + | 0.979536i | \(0.435493\pi\) | |||||||
\(212\) | −0.105946 | − | 0.736870i | −0.00727639 | − | 0.0506084i | ||||
\(213\) | −8.40810 | + | 2.46884i | −0.576114 | + | 0.169162i | ||||
\(214\) | 20.9100 | − | 6.13973i | 1.42938 | − | 0.419704i | ||||
\(215\) | 10.5319 | − | 12.1545i | 0.718271 | − | 0.828929i | ||||
\(216\) | −0.320460 | + | 0.701710i | −0.0218046 | + | 0.0477453i | ||||
\(217\) | −2.44039 | − | 16.9733i | −0.165665 | − | 1.15222i | ||||
\(218\) | 3.08805 | + | 3.56379i | 0.209149 | + | 0.241371i | ||||
\(219\) | 15.8273 | − | 18.2657i | 1.06951 | − | 1.23428i | ||||
\(220\) | −3.85617 | + | 8.44385i | −0.259983 | + | 0.569284i | ||||
\(221\) | −23.7395 | − | 15.2564i | −1.59689 | − | 1.02626i | ||||
\(222\) | 2.64624 | − | 18.4050i | 0.177604 | − | 1.23526i | ||||
\(223\) | −13.4087 | + | 8.61724i | −0.897912 | + | 0.577053i | −0.906170 | − | 0.422913i | \(-0.861008\pi\) |
0.00825805 | + | 0.999966i | \(0.497371\pi\) | |||||||
\(224\) | −13.9246 | − | 8.94880i | −0.930377 | − | 0.597917i | ||||
\(225\) | 6.83648 | + | 7.88971i | 0.455765 | + | 0.525981i | ||||
\(226\) | 11.3303 | − | 3.32687i | 0.753679 | − | 0.221300i | ||||
\(227\) | 6.63998 | + | 7.66294i | 0.440711 | + | 0.508607i | 0.932034 | − | 0.362370i | \(-0.118032\pi\) |
−0.491324 | + | 0.870977i | \(0.663487\pi\) | |||||||
\(228\) | −0.961800 | + | 6.68946i | −0.0636967 | + | 0.443020i | ||||
\(229\) | −10.9291 | − | 3.20906i | −0.722213 | − | 0.212061i | −0.100087 | − | 0.994979i | \(-0.531912\pi\) |
−0.622125 | + | 0.782918i | \(0.713730\pi\) | |||||||
\(230\) | 13.4140 | 0.884492 | ||||||||
\(231\) | 21.9176 | 1.44207 | ||||||||
\(232\) | 2.84381 | + | 0.835019i | 0.186706 | + | 0.0548217i | ||||
\(233\) | 19.2338 | − | 12.3608i | 1.26005 | − | 0.809783i | 0.271757 | − | 0.962366i | \(-0.412395\pi\) |
0.988291 | + | 0.152583i | \(0.0487590\pi\) | |||||||
\(234\) | 17.5884 | − | 38.5133i | 1.14979 | − | 2.51769i | ||||
\(235\) | −3.10011 | + | 6.78829i | −0.202229 | + | 0.442819i | ||||
\(236\) | −4.40922 | + | 2.83364i | −0.287016 | + | 0.184454i | ||||
\(237\) | 17.6274 | + | 5.17588i | 1.14502 | + | 0.336210i | ||||
\(238\) | 18.9853 | 1.23063 | ||||||||
\(239\) | −5.60924 | −0.362832 | −0.181416 | − | 0.983406i | \(-0.558068\pi\) | ||||
−0.181416 | + | 0.983406i | \(0.558068\pi\) | |||||||
\(240\) | 15.7388 | + | 4.62133i | 1.01593 | + | 0.298305i | ||||
\(241\) | −2.38743 | + | 16.6049i | −0.153788 | + | 1.06962i | 0.756008 | + | 0.654562i | \(0.227147\pi\) |
−0.909796 | + | 0.415056i | \(0.863762\pi\) | |||||||
\(242\) | 5.16517 | + | 5.96092i | 0.332030 | + | 0.383183i | ||||
\(243\) | −21.4071 | + | 6.28570i | −1.37327 | + | 0.403228i | ||||
\(244\) | 1.86043 | + | 2.14705i | 0.119102 | + | 0.137451i | ||||
\(245\) | 2.51522 | + | 1.61643i | 0.160691 | + | 0.103270i | ||||
\(246\) | −25.4446 | + | 16.3522i | −1.62229 | + | 1.04258i | ||||
\(247\) | −1.41510 | + | 9.84225i | −0.0900408 | + | 0.626248i | ||||
\(248\) | −3.97313 | − | 2.55338i | −0.252294 | − | 0.162140i | ||||
\(249\) | −0.0799330 | + | 0.175029i | −0.00506555 | + | 0.0110920i | ||||
\(250\) | 14.2431 | − | 16.4375i | 0.900816 | − | 1.03960i | ||||
\(251\) | 17.1233 | + | 19.7613i | 1.08081 | + | 1.24733i | 0.967258 | + | 0.253793i | \(0.0816783\pi\) |
0.113555 | + | 0.993532i | \(0.463776\pi\) | |||||||
\(252\) | 1.85217 | + | 12.8821i | 0.116676 | + | 0.811497i | ||||
\(253\) | 7.95282 | − | 17.4142i | 0.499989 | − | 1.09482i | ||||
\(254\) | 7.25994 | − | 8.37842i | 0.455529 | − | 0.525709i | ||||
\(255\) | −15.5242 | + | 4.55831i | −0.972161 | + | 0.285452i | ||||
\(256\) | −19.0137 | + | 5.58293i | −1.18836 | + | 0.348933i | ||||
\(257\) | 2.33365 | + | 16.2309i | 0.145569 | + | 1.01245i | 0.923361 | + | 0.383933i | \(0.125431\pi\) |
−0.777792 | + | 0.628522i | \(0.783660\pi\) | |||||||
\(258\) | 46.6255 | − | 29.9644i | 2.90277 | − | 1.86550i | ||||
\(259\) | 3.49341 | + | 7.64950i | 0.217070 | + | 0.475317i | ||||
\(260\) | −14.4574 | − | 4.24507i | −0.896608 | − | 0.263268i | ||||
\(261\) | −7.06644 | − | 15.4733i | −0.437401 | − | 0.957776i | ||||
\(262\) | 1.98185 | − | 13.7841i | 0.122439 | − | 0.851584i | ||||
\(263\) | −2.30166 | − | 16.0084i | −0.141926 | − | 0.987119i | −0.928952 | − | 0.370199i | \(-0.879289\pi\) |
0.787026 | − | 0.616920i | \(-0.211620\pi\) | |||||||
\(264\) | 3.95310 | − | 4.56212i | 0.243297 | − | 0.280779i | ||||
\(265\) | −0.528307 | − | 0.339522i | −0.0324536 | − | 0.0208567i | ||||
\(266\) | −2.77902 | − | 6.08521i | −0.170393 | − | 0.373108i | ||||
\(267\) | −12.6577 | −0.774640 | ||||||||
\(268\) | 4.96174 | − | 12.8471i | 0.303087 | − | 0.784759i | ||||
\(269\) | −20.2633 | −1.23548 | −0.617738 | − | 0.786384i | \(-0.711951\pi\) | ||||
−0.617738 | + | 0.786384i | \(0.711951\pi\) | |||||||
\(270\) | −1.43259 | − | 3.13694i | −0.0871848 | − | 0.190908i | ||||
\(271\) | 2.71908 | + | 1.74745i | 0.165172 | + | 0.106150i | 0.620615 | − | 0.784115i | \(-0.286883\pi\) |
−0.455443 | + | 0.890265i | \(0.650519\pi\) | |||||||
\(272\) | 13.2796 | − | 15.3254i | 0.805193 | − | 0.929242i | ||||
\(273\) | 5.06309 | + | 35.2145i | 0.306432 | + | 2.13128i | ||||
\(274\) | 2.35281 | − | 16.3641i | 0.142138 | − | 0.988594i | ||||
\(275\) | −4.82099 | − | 10.5565i | −0.290717 | − | 0.636580i | ||||
\(276\) | 20.2652 | + | 5.95039i | 1.21982 | + | 0.358172i | ||||
\(277\) | −10.6982 | − | 23.4259i | −0.642795 | − | 1.40752i | −0.897721 | − | 0.440564i | \(-0.854778\pi\) |
0.254926 | − | 0.966960i | \(-0.417949\pi\) | |||||||
\(278\) | 0.978316 | − | 0.628726i | 0.0586755 | − | 0.0377085i | ||||
\(279\) | 3.85758 | + | 26.8301i | 0.230947 | + | 1.60627i | ||||
\(280\) | −1.83543 | + | 0.538932i | −0.109688 | + | 0.0322074i | ||||
\(281\) | −10.5849 | + | 3.10802i | −0.631445 | + | 0.185409i | −0.581766 | − | 0.813356i | \(-0.697638\pi\) |
−0.0496788 | + | 0.998765i | \(0.515820\pi\) | |||||||
\(282\) | −16.8415 | + | 19.4362i | −1.00290 | + | 1.15741i | ||||
\(283\) | −0.843653 | + | 1.84734i | −0.0501500 | + | 0.109813i | −0.933048 | − | 0.359751i | \(-0.882862\pi\) |
0.882898 | + | 0.469564i | \(0.155589\pi\) | |||||||
\(284\) | 0.823219 | + | 5.72561i | 0.0488490 | + | 0.339753i | ||||
\(285\) | 3.73344 | + | 4.30862i | 0.221150 | + | 0.255220i | ||||
\(286\) | −30.8222 | + | 35.5708i | −1.82256 | + | 2.10334i | ||||
\(287\) | 5.68250 | − | 12.4429i | 0.335427 | − | 0.734484i | ||||
\(288\) | 22.0109 | + | 14.1456i | 1.29701 | + | 0.833536i | ||||
\(289\) | −0.427222 | + | 2.97139i | −0.0251307 | + | 0.174788i | ||||
\(290\) | −11.1464 | + | 7.16336i | −0.654539 | + | 0.420647i | ||||
\(291\) | 15.5889 | + | 10.0184i | 0.913838 | + | 0.587288i | ||||
\(292\) | −10.4476 | − | 12.0572i | −0.611400 | − | 0.705593i | ||||
\(293\) | 3.89561 | − | 1.14385i | 0.227584 | − | 0.0668247i | −0.165952 | − | 0.986134i | \(-0.553070\pi\) |
0.393536 | + | 0.919309i | \(0.371252\pi\) | |||||||
\(294\) | 6.74738 | + | 7.78689i | 0.393515 | + | 0.454141i | ||||
\(295\) | −0.629232 | + | 4.37640i | −0.0366353 | + | 0.254804i | ||||
\(296\) | 2.22232 | + | 0.652531i | 0.129170 | + | 0.0379276i | ||||
\(297\) | −4.92177 | −0.285590 | ||||||||
\(298\) | −6.08819 | −0.352679 | ||||||||
\(299\) | 29.8163 | + | 8.75486i | 1.72432 | + | 0.506306i | ||||
\(300\) | 10.7709 | − | 6.92201i | 0.621856 | − | 0.399643i | ||||
\(301\) | −10.4128 | + | 22.8008i | −0.600183 | + | 1.31422i | ||||
\(302\) | 2.87867 | − | 6.30341i | 0.165649 | − | 0.362720i | ||||
\(303\) | −42.7150 | + | 27.4512i | −2.45391 | + | 1.57703i | ||||
\(304\) | −6.85599 | − | 2.01310i | −0.393218 | − | 0.115459i | ||||
\(305\) | 2.39657 | 0.137227 | ||||||||
\(306\) | −30.0105 | −1.71558 | ||||||||
\(307\) | 15.2482 | + | 4.47727i | 0.870259 | + | 0.255531i | 0.686225 | − | 0.727389i | \(-0.259266\pi\) |
0.184033 | + | 0.982920i | \(0.441085\pi\) | |||||||
\(308\) | 2.05898 | − | 14.3205i | 0.117321 | − | 0.815985i | ||||
\(309\) | −15.8823 | − | 18.3291i | −0.903512 | − | 1.04271i | ||||
\(310\) | 20.2580 | − | 5.94828i | 1.15058 | − | 0.337840i | ||||
\(311\) | −6.64598 | − | 7.66987i | −0.376859 | − | 0.434918i | 0.535359 | − | 0.844625i | \(-0.320176\pi\) |
−0.912217 | + | 0.409707i | \(0.865631\pi\) | |||||||
\(312\) | 8.24307 | + | 5.29750i | 0.466672 | + | 0.299912i | ||||
\(313\) | 4.40924 | − | 2.83364i | 0.249225 | − | 0.160167i | −0.410064 | − | 0.912057i | \(-0.634494\pi\) |
0.659289 | + | 0.751890i | \(0.270857\pi\) | |||||||
\(314\) | 1.87300 | − | 13.0270i | 0.105700 | − | 0.735157i | ||||
\(315\) | 9.23597 | + | 5.93560i | 0.520388 | + | 0.334433i | ||||
\(316\) | 5.03777 | − | 11.0312i | 0.283397 | − | 0.620552i | ||||
\(317\) | 1.58665 | − | 1.83109i | 0.0891149 | − | 0.102844i | −0.709441 | − | 0.704765i | \(-0.751052\pi\) |
0.798556 | + | 0.601921i | \(0.205598\pi\) | |||||||
\(318\) | −1.41725 | − | 1.63559i | −0.0794753 | − | 0.0917194i | ||||
\(319\) | 2.69116 | + | 18.7174i | 0.150676 | + | 1.04797i | ||||
\(320\) | 3.11930 | − | 6.83032i | 0.174374 | − | 0.381827i | ||||
\(321\) | 18.9556 | − | 21.8759i | 1.05800 | − | 1.22100i | ||||
\(322\) | −20.0598 | + | 5.89008i | −1.11789 | + | 0.328241i | ||||
\(323\) | 6.76250 | − | 1.98565i | 0.376276 | − | 0.110484i | ||||
\(324\) | 1.73909 | + | 12.0956i | 0.0966162 | + | 0.671980i | ||||
\(325\) | 15.8473 | − | 10.1844i | 0.879047 | − | 0.564929i | ||||
\(326\) | −10.1871 | − | 22.3066i | −0.564210 | − | 1.23545i | ||||
\(327\) | 6.00970 | + | 1.76461i | 0.332337 | + | 0.0975830i | ||||
\(328\) | −1.56508 | − | 3.42705i | −0.0864171 | − | 0.189227i | ||||
\(329\) | 1.65528 | − | 11.5127i | 0.0912585 | − | 0.634717i | ||||
\(330\) | 3.84050 | + | 26.7113i | 0.211413 | + | 1.47041i | ||||
\(331\) | −15.3092 | + | 17.6678i | −0.841472 | + | 0.971110i | −0.999868 | − | 0.0162657i | \(-0.994822\pi\) |
0.158396 | + | 0.987376i | \(0.449368\pi\) | |||||||
\(332\) | 0.106851 | + | 0.0686691i | 0.00586422 | + | 0.00376871i | ||||
\(333\) | −5.52211 | − | 12.0917i | −0.302610 | − | 0.662623i | ||||
\(334\) | −12.5241 | −0.685290 | ||||||||
\(335\) | −5.44944 | − | 10.2603i | −0.297734 | − | 0.560582i | ||||
\(336\) | −25.5656 | −1.39472 | ||||||||
\(337\) | −8.10344 | − | 17.7441i | −0.441423 | − | 0.966581i | −0.991335 | − | 0.131358i | \(-0.958066\pi\) |
0.549912 | − | 0.835222i | \(-0.314661\pi\) | |||||||
\(338\) | −43.2844 | − | 27.8172i | −2.35436 | − | 1.51306i | ||||
\(339\) | 10.2713 | − | 11.8537i | 0.557859 | − | 0.643803i | ||||
\(340\) | 1.51994 | + | 10.5714i | 0.0824302 | + | 0.573314i | ||||
\(341\) | 4.28831 | − | 29.8258i | 0.232225 | − | 1.61516i | ||||
\(342\) | 4.39287 | + | 9.61904i | 0.237539 | + | 0.520138i | ||||
\(343\) | −19.3287 | − | 5.67543i | −1.04365 | − | 0.306444i | ||||
\(344\) | 2.86790 | + | 6.27983i | 0.154627 | + | 0.338586i | ||||
\(345\) | 14.9886 | − | 9.63259i | 0.806959 | − | 0.518601i | ||||
\(346\) | 0.666648 | + | 4.63664i | 0.0358392 | + | 0.249267i | ||||
\(347\) | 24.5197 | − | 7.19963i | 1.31629 | − | 0.386497i | 0.453135 | − | 0.891442i | \(-0.350305\pi\) |
0.863151 | + | 0.504945i | \(0.168487\pi\) | |||||||
\(348\) | −20.0171 | + | 5.87754i | −1.07303 | + | 0.315069i | ||||
\(349\) | −19.8911 | + | 22.9556i | −1.06475 | + | 1.22878i | −0.0922829 | + | 0.995733i | \(0.529416\pi\) |
−0.972464 | + | 0.233051i | \(0.925129\pi\) | |||||||
\(350\) | −5.26480 | + | 11.5283i | −0.281415 | + | 0.616213i | ||||
\(351\) | −1.13696 | − | 7.90772i | −0.0606864 | − | 0.422083i | ||||
\(352\) | −19.0472 | − | 21.9816i | −1.01522 | − | 1.17163i | ||||
\(353\) | −3.33146 | + | 3.84472i | −0.177316 | + | 0.204634i | −0.837449 | − | 0.546515i | \(-0.815954\pi\) |
0.660134 | + | 0.751148i | \(0.270500\pi\) | |||||||
\(354\) | −6.32966 | + | 13.8600i | −0.336418 | + | 0.736652i | ||||
\(355\) | 4.10504 | + | 2.63815i | 0.217873 | + | 0.140018i | ||||
\(356\) | −1.18909 | + | 8.27030i | −0.0630216 | + | 0.438325i | ||||
\(357\) | 21.2139 | − | 13.6333i | 1.12276 | − | 0.721552i | ||||
\(358\) | −1.70760 | − | 1.09741i | −0.0902497 | − | 0.0580000i | ||||
\(359\) | 7.23468 | + | 8.34927i | 0.381832 | + | 0.440657i | 0.913835 | − | 0.406085i | \(-0.133106\pi\) |
−0.532004 | + | 0.846742i | \(0.678561\pi\) | |||||||
\(360\) | 2.90131 | − | 0.851903i | 0.152913 | − | 0.0448992i | ||||
\(361\) | 10.8160 | + | 12.4824i | 0.569265 | + | 0.656966i | ||||
\(362\) | 1.15150 | − | 8.00888i | 0.0605216 | − | 0.420937i | ||||
\(363\) | 10.0520 | + | 2.95154i | 0.527595 | + | 0.154916i | ||||
\(364\) | 23.4841 | 1.23090 | ||||||||
\(365\) | −13.4584 | −0.704444 | ||||||||
\(366\) | 7.92446 | + | 2.32683i | 0.414218 | + | 0.121625i | ||||
\(367\) | −23.5592 | + | 15.1406i | −1.22978 | + | 0.790332i | −0.983857 | − | 0.178957i | \(-0.942728\pi\) |
−0.245923 | + | 0.969289i | \(0.579091\pi\) | |||||||
\(368\) | −9.27652 | + | 20.3127i | −0.483572 | + | 1.05887i | ||||
\(369\) | −8.98246 | + | 19.6688i | −0.467608 | + | 1.02392i | ||||
\(370\) | −8.71043 | + | 5.59785i | −0.452834 | + | 0.291019i | ||||
\(371\) | 0.939134 | + | 0.275755i | 0.0487574 | + | 0.0143165i | ||||
\(372\) | 33.2434 | 1.72359 | ||||||||
\(373\) | 38.0586 | 1.97060 | 0.985299 | − | 0.170841i | \(-0.0546484\pi\) | ||||
0.985299 | + | 0.170841i | \(0.0546484\pi\) | |||||||
\(374\) | 32.0099 | + | 9.39897i | 1.65520 | + | 0.486009i | ||||
\(375\) | 4.11134 | − | 28.5950i | 0.212309 | − | 1.47664i | ||||
\(376\) | −2.09782 | − | 2.42101i | −0.108187 | − | 0.124854i | ||||
\(377\) | −29.4513 | + | 8.64767i | −1.51682 | + | 0.445378i | ||||
\(378\) | 3.51978 | + | 4.06204i | 0.181038 | + | 0.208929i | ||||
\(379\) | −13.5596 | − | 8.71423i | −0.696510 | − | 0.447620i | 0.143885 | − | 0.989594i | \(-0.454040\pi\) |
−0.840395 | + | 0.541975i | \(0.817677\pi\) | |||||||
\(380\) | 3.16589 | − | 2.03459i | 0.162407 | − | 0.104372i | ||||
\(381\) | 2.09561 | − | 14.5753i | 0.107361 | − | 0.746715i | ||||
\(382\) | 19.2228 | + | 12.3537i | 0.983523 | + | 0.632072i | ||||
\(383\) | −7.54063 | + | 16.5117i | −0.385308 | + | 0.843707i | 0.613243 | + | 0.789894i | \(0.289865\pi\) |
−0.998551 | + | 0.0538129i | \(0.982863\pi\) | |||||||
\(384\) | −8.03315 | + | 9.27075i | −0.409940 | + | 0.473096i | ||||
\(385\) | −7.99237 | − | 9.22368i | −0.407329 | − | 0.470082i | ||||
\(386\) | 2.68462 | + | 18.6719i | 0.136644 | + | 0.950377i | ||||
\(387\) | 16.4597 | − | 36.0418i | 0.836696 | − | 1.83211i | ||||
\(388\) | 8.01026 | − | 9.24433i | 0.406659 | − | 0.469310i | ||||
\(389\) | 17.7121 | − | 5.20076i | 0.898041 | − | 0.263689i | 0.200042 | − | 0.979787i | \(-0.435892\pi\) |
0.697999 | + | 0.716099i | \(0.254074\pi\) | |||||||
\(390\) | −42.0293 | + | 12.3409i | −2.12824 | + | 0.624907i | ||||
\(391\) | −3.13466 | − | 21.8020i | −0.158526 | − | 1.10258i | ||||
\(392\) | −1.07969 | + | 0.693874i | −0.0545326 | + | 0.0350460i | ||||
\(393\) | −7.68386 | − | 16.8253i | −0.387600 | − | 0.848725i | ||||
\(394\) | 43.0075 | + | 12.6281i | 2.16669 | + | 0.636197i | ||||
\(395\) | −4.24975 | − | 9.30566i | −0.213828 | − | 0.468219i | ||||
\(396\) | −3.25467 | + | 22.6367i | −0.163553 | + | 1.13754i | ||||
\(397\) | −0.271165 | − | 1.88599i | −0.0136094 | − | 0.0946554i | 0.981885 | − | 0.189480i | \(-0.0606801\pi\) |
−0.995494 | + | 0.0948244i | \(0.969771\pi\) | |||||||
\(398\) | −25.9399 | + | 29.9362i | −1.30025 | + | 1.50057i | ||||
\(399\) | −7.47503 | − | 4.80391i | −0.374220 | − | 0.240496i | ||||
\(400\) | 5.62341 | + | 12.3136i | 0.281171 | + | 0.615678i | ||||
\(401\) | −37.6170 | −1.87850 | −0.939251 | − | 0.343230i | \(-0.888479\pi\) | ||||
−0.939251 | + | 0.343230i | \(0.888479\pi\) | |||||||
\(402\) | −8.05725 | − | 39.2175i | −0.401859 | − | 1.95599i | ||||
\(403\) | 48.9112 | 2.43644 | ||||||||
\(404\) | 13.9234 | + | 30.4879i | 0.692713 | + | 1.51683i | ||||
\(405\) | 8.67211 | + | 5.57323i | 0.430921 | + | 0.276936i | ||||
\(406\) | 13.5233 | − | 15.6067i | 0.671151 | − | 0.774549i | ||||
\(407\) | 2.10302 | + | 14.6268i | 0.104243 | + | 0.725026i | ||||
\(408\) | 0.988417 | − | 6.87459i | 0.0489339 | − | 0.340343i | ||||
\(409\) | 9.94666 | + | 21.7801i | 0.491830 | + | 1.07696i | 0.979039 | + | 0.203673i | \(0.0652879\pi\) |
−0.487209 | + | 0.873286i | \(0.661985\pi\) | |||||||
\(410\) | 16.1601 | + | 4.74504i | 0.798092 | + | 0.234341i | ||||
\(411\) | −9.12210 | − | 19.9746i | −0.449960 | − | 0.985275i | ||||
\(412\) | −13.4679 | + | 8.65530i | −0.663516 | + | 0.426416i | ||||
\(413\) | −0.980702 | − | 6.82093i | −0.0482572 | − | 0.335636i | ||||
\(414\) | 31.7089 | − | 9.31059i | 1.55841 | − | 0.457590i | ||||
\(415\) | 0.102806 | − | 0.0301867i | 0.00504656 | − | 0.00148180i | ||||
\(416\) | 30.9175 | − | 35.6807i | 1.51586 | − | 1.74939i | ||||
\(417\) | 0.641669 | − | 1.40506i | 0.0314227 | − | 0.0688060i | ||||
\(418\) | −1.67296 | − | 11.6357i | −0.0818273 | − | 0.569122i | ||||
\(419\) | −17.0855 | − | 19.7177i | −0.834681 | − | 0.963274i | 0.165054 | − | 0.986285i | \(-0.447220\pi\) |
−0.999735 | + | 0.0230108i | \(0.992675\pi\) | |||||||
\(420\) | 8.81749 | − | 10.1759i | 0.430250 | − | 0.496535i | ||||
\(421\) | −0.992681 | + | 2.17367i | −0.0483803 | + | 0.105938i | −0.932279 | − | 0.361741i | \(-0.882182\pi\) |
0.883898 | + | 0.467679i | \(0.154910\pi\) | |||||||
\(422\) | 16.8959 | + | 10.8584i | 0.822481 | + | 0.528576i | ||||
\(423\) | −2.61654 | + | 18.1984i | −0.127220 | + | 0.884838i | ||||
\(424\) | 0.226783 | − | 0.145744i | 0.0110135 | − | 0.00707797i | ||||
\(425\) | −11.2326 | − | 7.21878i | −0.544863 | − | 0.350162i | ||||
\(426\) | 11.0123 | + | 12.7088i | 0.533546 | + | 0.615745i | ||||
\(427\) | −3.58392 | + | 1.05234i | −0.173438 | + | 0.0509261i | ||||
\(428\) | −12.5126 | − | 14.4403i | −0.604818 | − | 0.697997i | ||||
\(429\) | −8.89696 | + | 61.8797i | −0.429549 | + | 2.98758i | ||||
\(430\) | −29.6123 | − | 8.69496i | −1.42803 | − | 0.419308i | ||||
\(431\) | 11.4043 | 0.549325 | 0.274662 | − | 0.961541i | \(-0.411434\pi\) | ||||
0.274662 | + | 0.961541i | \(0.411434\pi\) | |||||||
\(432\) | 5.74097 | 0.276213 | ||||||||
\(433\) | −5.76570 | − | 1.69296i | −0.277082 | − | 0.0813586i | 0.140239 | − | 0.990118i | \(-0.455213\pi\) |
−0.417321 | + | 0.908759i | \(0.637031\pi\) | |||||||
\(434\) | −27.6827 | + | 17.7906i | −1.32881 | + | 0.853975i | ||||
\(435\) | −7.31082 | + | 16.0085i | −0.350527 | + | 0.767548i | ||||
\(436\) | 1.71752 | − | 3.76085i | 0.0822543 | − | 0.180112i | ||||
\(437\) | −6.52920 | + | 4.19606i | −0.312334 | + | 0.200725i | ||||
\(438\) | −44.5013 | − | 13.0668i | −2.12635 | − | 0.624354i | ||||
\(439\) | 24.0640 | 1.14851 | 0.574257 | − | 0.818675i | \(-0.305291\pi\) | ||||
0.574257 | + | 0.818675i | \(0.305291\pi\) | |||||||
\(440\) | −3.36143 | −0.160250 | ||||||||
\(441\) | 7.06761 | + | 2.07524i | 0.336553 | + | 0.0988208i | ||||
\(442\) | −7.70666 | + | 53.6010i | −0.366569 | + | 2.54954i | ||||
\(443\) | −4.43512 | − | 5.11840i | −0.210719 | − | 0.243183i | 0.640545 | − | 0.767921i | \(-0.278709\pi\) |
−0.851264 | + | 0.524738i | \(0.824163\pi\) | |||||||
\(444\) | −15.6425 | + | 4.59304i | −0.742359 | + | 0.217976i | ||||
\(445\) | 4.61571 | + | 5.32682i | 0.218806 | + | 0.252515i | ||||
\(446\) | 25.7311 | + | 16.5364i | 1.21840 | + | 0.783020i | ||||
\(447\) | −6.80285 | + | 4.37193i | −0.321764 | + | 0.206785i | ||||
\(448\) | −1.66553 | + | 11.5840i | −0.0786888 | + | 0.547293i | ||||
\(449\) | 27.0142 | + | 17.3610i | 1.27488 | + | 0.819315i | 0.990247 | − | 0.139322i | \(-0.0444923\pi\) |
0.284632 | + | 0.958637i | \(0.408129\pi\) | |||||||
\(450\) | 8.32218 | − | 18.2230i | 0.392312 | − | 0.859042i | ||||
\(451\) | 15.7410 | − | 18.1661i | 0.741216 | − | 0.855408i | ||||
\(452\) | −6.78005 | − | 7.82459i | −0.318907 | − | 0.368038i | ||||
\(453\) | −1.30989 | − | 9.11052i | −0.0615442 | − | 0.428049i | ||||
\(454\) | 8.08298 | − | 17.6993i | 0.379353 | − | 0.830668i | ||||
\(455\) | 12.9732 | − | 14.9719i | 0.608195 | − | 0.701894i | ||||
\(456\) | −2.34815 | + | 0.689478i | −0.109962 | + | 0.0322878i | ||||
\(457\) | 26.9953 | − | 7.92654i | 1.26279 | − | 0.370788i | 0.419256 | − | 0.907868i | \(-0.362291\pi\) |
0.843531 | + | 0.537080i | \(0.180473\pi\) | |||||||
\(458\) | 3.11073 | + | 21.6356i | 0.145355 | + | 1.01097i | ||||
\(459\) | −4.76375 | + | 3.06148i | −0.222353 | + | 0.142898i | ||||
\(460\) | −4.88568 | − | 10.6981i | −0.227796 | − | 0.498804i | ||||
\(461\) | 4.68753 | + | 1.37638i | 0.218320 | + | 0.0641045i | 0.389063 | − | 0.921211i | \(-0.372799\pi\) |
−0.170743 | + | 0.985316i | \(0.554617\pi\) | |||||||
\(462\) | −17.4721 | − | 38.2586i | −0.812877 | − | 1.77995i | ||||
\(463\) | 1.07384 | − | 7.46871i | 0.0499055 | − | 0.347100i | −0.949535 | − | 0.313660i | \(-0.898445\pi\) |
0.999441 | − | 0.0334400i | \(-0.0106463\pi\) | |||||||
\(464\) | −3.13908 | − | 21.8328i | −0.145728 | − | 1.01356i | ||||
\(465\) | 18.3645 | − | 21.1938i | 0.851635 | − | 0.982839i | ||||
\(466\) | −36.9094 | − | 23.7202i | −1.70979 | − | 1.09882i | ||||
\(467\) | 0.514234 | + | 1.12601i | 0.0237959 | + | 0.0521057i | 0.921157 | − | 0.389192i | \(-0.127246\pi\) |
−0.897361 | + | 0.441297i | \(0.854518\pi\) | |||||||
\(468\) | −37.1219 | −1.71596 | ||||||||
\(469\) | 12.6546 | + | 12.9508i | 0.584335 | + | 0.598014i | ||||
\(470\) | 14.3208 | 0.660568 | ||||||||
\(471\) | −7.26184 | − | 15.9012i | −0.334608 | − | 0.732689i | ||||
\(472\) | −1.59665 | − | 1.02611i | −0.0734920 | − | 0.0472304i | ||||
\(473\) | −28.8443 | + | 33.2881i | −1.32626 | + | 1.53059i | ||||
\(474\) | −5.01729 | − | 34.8960i | −0.230452 | − | 1.60283i | ||||
\(475\) | −0.669574 | + | 4.65699i | −0.0307221 | + | 0.213677i | ||||
\(476\) | −6.91487 | − | 15.1415i | −0.316943 | − | 0.694007i | ||||
\(477\) | −1.48451 | − | 0.435892i | −0.0679711 | − | 0.0199581i | ||||
\(478\) | 4.47155 | + | 9.79133i | 0.204524 | + | 0.447845i | ||||
\(479\) | 2.64133 | − | 1.69748i | 0.120685 | − | 0.0775599i | −0.478905 | − | 0.877866i | \(-0.658966\pi\) |
0.599591 | + | 0.800307i | \(0.295330\pi\) | |||||||
\(480\) | −3.85237 | − | 26.7938i | −0.175836 | − | 1.22296i | ||||
\(481\) | −23.0149 | + | 6.75778i | −1.04939 | + | 0.308128i | ||||
\(482\) | 30.8883 | − | 9.06962i | 1.40692 | − | 0.413110i | ||||
\(483\) | −18.1848 | + | 20.9864i | −0.827439 | + | 0.954915i | ||||
\(484\) | 2.87278 | − | 6.29052i | 0.130581 | − | 0.285933i | ||||
\(485\) | −1.46850 | − | 10.2136i | −0.0666811 | − | 0.463777i | ||||
\(486\) | 28.0374 | + | 32.3569i | 1.27180 | + | 1.46774i | ||||
\(487\) | 26.9956 | − | 31.1546i | 1.22329 | − | 1.41175i | 0.341644 | − | 0.939830i | \(-0.389016\pi\) |
0.881643 | − | 0.471918i | \(-0.156438\pi\) | |||||||
\(488\) | −0.427362 | + | 0.935793i | −0.0193458 | + | 0.0423614i | ||||
\(489\) | −27.4012 | − | 17.6097i | −1.23913 | − | 0.796339i | ||||
\(490\) | 0.816527 | − | 5.67907i | 0.0368869 | − | 0.256554i | ||||
\(491\) | −1.61178 | + | 1.03583i | −0.0727384 | + | 0.0467461i | −0.576505 | − | 0.817094i | \(-0.695584\pi\) |
0.503766 | + | 0.863840i | \(0.331947\pi\) | |||||||
\(492\) | 22.3090 | + | 14.3371i | 1.00577 | + | 0.646368i | ||||
\(493\) | 14.2475 | + | 16.4425i | 0.641675 | + | 0.740533i | ||||
\(494\) | 18.3084 | − | 5.37584i | 0.823736 | − | 0.241871i | ||||
\(495\) | 12.6337 | + | 14.5801i | 0.567843 | + | 0.655326i | ||||
\(496\) | −5.00207 | + | 34.7902i | −0.224600 | + | 1.56212i | ||||
\(497\) | −7.29724 | − | 2.14266i | −0.327326 | − | 0.0961116i | ||||
\(498\) | 0.369246 | 0.0165463 | ||||||||
\(499\) | −10.0911 | −0.451738 | −0.225869 | − | 0.974158i | \(-0.572522\pi\) | ||||
−0.225869 | + | 0.974158i | \(0.572522\pi\) | |||||||
\(500\) | −18.2972 | − | 5.37253i | −0.818274 | − | 0.240267i | ||||
\(501\) | −13.9943 | + | 8.99359i | −0.625219 | + | 0.401804i | ||||
\(502\) | 20.8446 | − | 45.6432i | 0.930338 | − | 2.03716i | ||||
\(503\) | −15.0351 | + | 32.9223i | −0.670382 | + | 1.46793i | 0.202140 | + | 0.979357i | \(0.435211\pi\) |
−0.872522 | + | 0.488575i | \(0.837517\pi\) | |||||||
\(504\) | −3.96466 | + | 2.54793i | −0.176600 | + | 0.113494i | ||||
\(505\) | 27.1287 | + | 7.96571i | 1.20721 | + | 0.354469i | ||||
\(506\) | −36.7376 | −1.63318 | ||||||||
\(507\) | −68.3410 | −3.03513 | ||||||||
\(508\) | −9.32633 | − | 2.73846i | −0.413789 | − | 0.121499i | ||||
\(509\) | 1.97026 | − | 13.7035i | 0.0873303 | − | 0.607396i | −0.898415 | − | 0.439148i | \(-0.855280\pi\) |
0.985745 | − | 0.168247i | \(-0.0538107\pi\) | |||||||
\(510\) | 20.3323 | + | 23.4648i | 0.900331 | + | 1.03904i | ||||
\(511\) | 20.1262 | − | 5.90958i | 0.890330 | − | 0.261424i | ||||
\(512\) | 18.5994 | + | 21.4648i | 0.821984 | + | 0.948620i | ||||
\(513\) | 1.67858 | + | 1.07876i | 0.0741112 | + | 0.0476284i | ||||
\(514\) | 26.4718 | − | 17.0124i | 1.16762 | − | 0.750385i | ||||
\(515\) | −1.92198 | + | 13.3677i | −0.0846925 | + | 0.589050i | ||||
\(516\) | −40.8797 | − | 26.2718i | −1.79963 | − | 1.15655i | ||||
\(517\) | 8.49043 | − | 18.5915i | 0.373409 | − | 0.817651i | ||||
\(518\) | 10.5679 | − | 12.1960i | 0.464326 | − | 0.535861i | ||||
\(519\) | 4.07447 | + | 4.70219i | 0.178850 | + | 0.206403i | ||||
\(520\) | −0.776510 | − | 5.40074i | −0.0340522 | − | 0.236838i | ||||
\(521\) | −16.5510 | + | 36.2416i | −0.725112 | + | 1.58777i | 0.0814863 | + | 0.996674i | \(0.474033\pi\) |
−0.806598 | + | 0.591100i | \(0.798694\pi\) | |||||||
\(522\) | −21.3766 | + | 24.6699i | −0.935629 | + | 1.07977i | ||||
\(523\) | 16.6382 | − | 4.88541i | 0.727537 | − | 0.213624i | 0.103069 | − | 0.994674i | \(-0.467134\pi\) |
0.624468 | + | 0.781050i | \(0.285316\pi\) | |||||||
\(524\) | −11.7152 | + | 3.43988i | −0.511779 | + | 0.150272i | ||||
\(525\) | 2.39566 | + | 16.6622i | 0.104555 | + | 0.727198i | ||||
\(526\) | −26.1089 | + | 16.7792i | −1.13840 | + | 0.731608i | ||||
\(527\) | −14.4019 | − | 31.5357i | −0.627355 | − | 1.37372i | ||||
\(528\) | −43.1047 | − | 12.6567i | −1.87589 | − | 0.550811i | ||||
\(529\) | 0.521484 | + | 1.14189i | 0.0226732 | + | 0.0496474i | ||||
\(530\) | −0.171507 | + | 1.19286i | −0.00744978 | + | 0.0518144i | ||||
\(531\) | 1.55022 | + | 10.7820i | 0.0672738 | + | 0.467899i | ||||
\(532\) | −3.84100 | + | 4.43275i | −0.166528 | + | 0.192184i | ||||
\(533\) | 32.8234 | + | 21.0943i | 1.42174 | + | 0.913697i | ||||
\(534\) | 10.0904 | + | 22.0949i | 0.436655 | + | 0.956142i | ||||
\(535\) | −16.1184 | −0.696861 | ||||||||
\(536\) | 4.97812 | − | 0.298203i | 0.215022 | − | 0.0128804i | ||||
\(537\) | −2.69610 | −0.116345 | ||||||||
\(538\) | 16.1534 | + | 35.3710i | 0.696423 | + | 1.52495i | ||||
\(539\) | −6.88856 | − | 4.42701i | −0.296711 | − | 0.190685i | ||||
\(540\) | −1.98004 | + | 2.28509i | −0.0852074 | + | 0.0983346i | ||||
\(541\) | −1.15295 | − | 8.01892i | −0.0495691 | − | 0.344760i | −0.999480 | − | 0.0322401i | \(-0.989736\pi\) |
0.949911 | − | 0.312520i | \(-0.101173\pi\) | |||||||
\(542\) | 0.882708 | − | 6.13937i | 0.0379155 | − | 0.263708i | ||||
\(543\) | −4.46450 | − | 9.77590i | −0.191590 | − | 0.419524i | ||||
\(544\) | −32.1089 | − | 9.42802i | −1.37666 | − | 0.404223i | ||||
\(545\) | −1.44886 | − | 3.17257i | −0.0620625 | − | 0.135898i | ||||
\(546\) | 57.4333 | − | 36.9101i | 2.45792 | − | 1.57961i | ||||
\(547\) | −1.25951 | − | 8.76006i | −0.0538526 | − | 0.374553i | −0.998870 | − | 0.0475323i | \(-0.984864\pi\) |
0.945017 | − | 0.327021i | \(-0.106045\pi\) | |||||||
\(548\) | −13.9079 | + | 4.08374i | −0.594118 | + | 0.174449i | ||||
\(549\) | 5.66519 | − | 1.66345i | 0.241785 | − | 0.0709943i | ||||
\(550\) | −14.5839 | + | 16.8308i | −0.621861 | + | 0.717666i | ||||
\(551\) | 3.18468 | − | 6.97347i | 0.135672 | − | 0.297080i | ||||
\(552\) | 1.08845 | + | 7.57032i | 0.0463274 | + | 0.322214i | ||||
\(553\) | 10.4414 | + | 12.0500i | 0.444011 | + | 0.512417i | ||||
\(554\) | −32.3632 | + | 37.3491i | −1.37498 | + | 1.58681i | ||||
\(555\) | −5.71309 | + | 12.5099i | −0.242507 | + | 0.531017i | ||||
\(556\) | −0.857757 | − | 0.551247i | −0.0363770 | − | 0.0233781i | ||||
\(557\) | −3.60220 | + | 25.0538i | −0.152630 | + | 1.06156i | 0.759159 | + | 0.650905i | \(0.225610\pi\) |
−0.911789 | + | 0.410659i | \(0.865299\pi\) | |||||||
\(558\) | 43.7586 | − | 28.1220i | 1.85245 | − | 1.19050i | ||||
\(559\) | −60.1467 | − | 38.6539i | −2.54393 | − | 1.63489i | ||||
\(560\) | 9.32265 | + | 10.7589i | 0.393954 | + | 0.454647i | ||||
\(561\) | 42.5169 | − | 12.4841i | 1.79506 | − | 0.527078i | ||||
\(562\) | 13.8633 | + | 15.9991i | 0.584789 | + | 0.674882i | ||||
\(563\) | 3.05299 | − | 21.2340i | 0.128668 | − | 0.894906i | −0.818577 | − | 0.574396i | \(-0.805237\pi\) |
0.947245 | − | 0.320509i | \(-0.103854\pi\) | |||||||
\(564\) | 21.6351 | + | 6.35264i | 0.911003 | + | 0.267495i | ||||
\(565\) | −8.73392 | −0.367439 | ||||||||
\(566\) | 3.89721 | 0.163812 | ||||||||
\(567\) | −15.4158 | − | 4.52649i | −0.647403 | − | 0.190095i | ||||
\(568\) | −1.76214 | + | 1.13246i | −0.0739378 | + | 0.0475170i | ||||
\(569\) | −8.83639 | + | 19.3490i | −0.370441 | + | 0.811152i | 0.628990 | + | 0.777413i | \(0.283469\pi\) |
−0.999431 | + | 0.0337385i | \(0.989259\pi\) | |||||||
\(570\) | 4.54479 | − | 9.95170i | 0.190360 | − | 0.416831i | ||||
\(571\) | −13.5548 | + | 8.71115i | −0.567251 | + | 0.364550i | −0.792613 | − | 0.609725i | \(-0.791280\pi\) |
0.225362 | + | 0.974275i | \(0.427644\pi\) | |||||||
\(572\) | 39.5952 | + | 11.6262i | 1.65556 | + | 0.486115i | ||||
\(573\) | 30.3505 | 1.26791 | ||||||||
\(574\) | −26.2500 | −1.09565 | ||||||||
\(575\) | 14.1080 | + | 4.14247i | 0.588342 | + | 0.172753i | ||||
\(576\) | 2.63274 | − | 18.3111i | 0.109697 | − | 0.762963i | ||||
\(577\) | −3.67554 | − | 4.24180i | −0.153015 | − | 0.176589i | 0.674067 | − | 0.738670i | \(-0.264546\pi\) |
−0.827082 | + | 0.562082i | \(0.810001\pi\) | |||||||
\(578\) | 5.52735 | − | 1.62298i | 0.229907 | − | 0.0675069i | ||||
\(579\) | 16.4081 | + | 18.9359i | 0.681897 | + | 0.786951i | ||||
\(580\) | 9.77282 | + | 6.28061i | 0.405794 | + | 0.260788i | ||||
\(581\) | −0.140485 | + | 0.0902845i | −0.00582832 | + | 0.00374563i | ||||
\(582\) | 5.06070 | − | 35.1980i | 0.209773 | − | 1.45900i | ||||
\(583\) | 1.44690 | + | 0.929868i | 0.0599246 | + | 0.0385112i | ||||
\(584\) | 2.39993 | − | 5.25512i | 0.0993099 | − | 0.217458i | ||||
\(585\) | −20.5071 | + | 23.6665i | −0.847864 | + | 0.978488i | ||||
\(586\) | −5.10216 | − | 5.88821i | −0.210768 | − | 0.243240i | ||||
\(587\) | −5.03757 | − | 35.0371i | −0.207923 | − | 1.44614i | −0.779919 | − | 0.625880i | \(-0.784740\pi\) |
0.571997 | − | 0.820256i | \(-0.306169\pi\) | |||||||
\(588\) | 3.75278 | − | 8.21745i | 0.154762 | − | 0.338882i | ||||
\(589\) | −7.99979 | + | 9.23225i | −0.329626 | + | 0.380408i | ||||
\(590\) | 8.14093 | − | 2.39039i | 0.335157 | − | 0.0984110i | ||||
\(591\) | 57.1243 | − | 16.7732i | 2.34978 | − | 0.689957i | ||||
\(592\) | −2.45306 | − | 17.0614i | −0.100820 | − | 0.701219i | ||||
\(593\) | −21.2111 | + | 13.6315i | −0.871034 | + | 0.559780i | −0.898069 | − | 0.439855i | \(-0.855030\pi\) |
0.0270347 | + | 0.999634i | \(0.491394\pi\) | |||||||
\(594\) | 3.92351 | + | 8.59130i | 0.160984 | + | 0.352505i | ||||
\(595\) | −13.4732 | − | 3.95607i | −0.552345 | − | 0.162183i | ||||
\(596\) | 2.21746 | + | 4.85555i | 0.0908306 | + | 0.198891i | ||||
\(597\) | −7.48764 | + | 52.0777i | −0.306449 | + | 2.13140i | ||||
\(598\) | −8.48660 | − | 59.0256i | −0.347043 | − | 2.41374i | ||||
\(599\) | 25.1394 | − | 29.0124i | 1.02717 | − | 1.18541i | 0.0446960 | − | 0.999001i | \(-0.485768\pi\) |
0.982471 | − | 0.186414i | \(-0.0596865\pi\) | |||||||
\(600\) | 3.90031 | + | 2.50658i | 0.159230 | + | 0.102331i | ||||
\(601\) | −7.46957 | − | 16.3561i | −0.304690 | − | 0.667178i | 0.693911 | − | 0.720061i | \(-0.255886\pi\) |
−0.998601 | + | 0.0528829i | \(0.983159\pi\) | |||||||
\(602\) | 48.1013 | 1.96046 | ||||||||
\(603\) | −20.0034 | − | 20.4717i | −0.814602 | − | 0.833671i | ||||
\(604\) | −6.07568 | −0.247216 | ||||||||
\(605\) | −2.42342 | − | 5.30655i | −0.0985260 | − | 0.215742i | ||||
\(606\) | 81.9694 | + | 52.6785i | 3.32978 | + | 2.13992i | ||||
\(607\) | 8.41136 | − | 9.70723i | 0.341407 | − | 0.394004i | −0.558918 | − | 0.829223i | \(-0.688783\pi\) |
0.900325 | + | 0.435219i | \(0.143329\pi\) | |||||||
\(608\) | 1.67813 | + | 11.6717i | 0.0680573 | + | 0.473349i | ||||
\(609\) | 3.90356 | − | 27.1498i | 0.158180 | − | 1.10017i | ||||
\(610\) | −1.91049 | − | 4.18339i | −0.0773535 | − | 0.169380i | ||||
\(611\) | 31.8319 | + | 9.34669i | 1.28778 | + | 0.378127i | ||||
\(612\) | 10.9305 | + | 23.9344i | 0.441839 | + | 0.967493i | ||||
\(613\) | −22.2554 | + | 14.3027i | −0.898888 | + | 0.577680i | −0.906460 | − | 0.422291i | \(-0.861226\pi\) |
0.00757210 | + | 0.999971i | \(0.497590\pi\) | |||||||
\(614\) | −4.34008 | − | 30.1859i | −0.175151 | − | 1.21820i | ||||
\(615\) | 21.4645 | − | 6.30255i | 0.865532 | − | 0.254143i | ||||
\(616\) | 5.02680 | − | 1.47600i | 0.202536 | − | 0.0594698i | ||||
\(617\) | −6.20482 | + | 7.16074i | −0.249797 | + | 0.288281i | −0.866775 | − | 0.498699i | \(-0.833811\pi\) |
0.616978 | + | 0.786980i | \(0.288357\pi\) | |||||||
\(618\) | −19.3338 | + | 42.3352i | −0.777721 | + | 1.70297i | ||||
\(619\) | 0.636409 | + | 4.42632i | 0.0255794 | + | 0.177909i | 0.998606 | − | 0.0527845i | \(-0.0168097\pi\) |
−0.973026 | + | 0.230693i | \(0.925901\pi\) | |||||||
\(620\) | −12.1224 | − | 13.9900i | −0.486847 | − | 0.561852i | ||||
\(621\) | 4.08356 | − | 4.71268i | 0.163868 | − | 0.189113i | ||||
\(622\) | −8.09028 | + | 17.7153i | −0.324391 | + | 0.710317i | ||||
\(623\) | −9.24151 | − | 5.93916i | −0.370253 | − | 0.237947i | ||||
\(624\) | 10.3778 | − | 72.1793i | 0.415445 | − | 2.88948i | ||||
\(625\) | −0.975153 | + | 0.626693i | −0.0390061 | + | 0.0250677i | ||||
\(626\) | −8.46126 | − | 5.43772i | −0.338180 | − | 0.217335i | ||||
\(627\) | −10.2250 | − | 11.8002i | −0.408346 | − | 0.471256i | ||||
\(628\) | −11.0717 | + | 3.25095i | −0.441810 | + | 0.129727i | ||||
\(629\) | 11.1338 | + | 12.8491i | 0.443934 | + | 0.512327i | ||||
\(630\) | 2.99832 | − | 20.8538i | 0.119456 | − | 0.830834i | ||||
\(631\) | 10.2034 | + | 2.99599i | 0.406191 | + | 0.119268i | 0.478444 | − | 0.878118i | \(-0.341201\pi\) |
−0.0722536 | + | 0.997386i | \(0.523019\pi\) | |||||||
\(632\) | 4.39142 | 0.174681 | ||||||||
\(633\) | 26.6767 | 1.06030 | ||||||||
\(634\) | −4.46113 | − | 1.30991i | −0.177174 | − | 0.0520230i | ||||
\(635\) | −6.89797 | + | 4.43306i | −0.273738 | + | 0.175921i | ||||
\(636\) | −0.788251 | + | 1.72603i | −0.0312562 | + | 0.0684415i | ||||
\(637\) | 5.52150 | − | 12.0904i | 0.218770 | − | 0.479039i | ||||
\(638\) | 30.5272 | − | 19.6187i | 1.20859 | − | 0.776711i | ||||
\(639\) | 11.5349 | + | 3.38696i | 0.456314 | + | 0.133986i | ||||
\(640\) | 6.83080 | 0.270011 | ||||||||
\(641\) | −2.21249 | −0.0873882 | −0.0436941 | − | 0.999045i | \(-0.513913\pi\) | ||||
−0.0436941 | + | 0.999045i | \(0.513913\pi\) | |||||||
\(642\) | −53.2970 | − | 15.6494i | −2.10346 | − | 0.617632i | ||||
\(643\) | −5.67300 | + | 39.4566i | −0.223721 | + | 1.55602i | 0.500062 | + | 0.865990i | \(0.333311\pi\) |
−0.723784 | + | 0.690027i | \(0.757599\pi\) | |||||||
\(644\) | 12.0038 | + | 13.8531i | 0.473015 | + | 0.545889i | ||||
\(645\) | −39.3322 | + | 11.5490i | −1.54871 | + | 0.454741i | ||||
\(646\) | −8.85699 | − | 10.2215i | −0.348474 | − | 0.402160i | ||||
\(647\) | 4.78324 | + | 3.07400i | 0.188049 | + | 0.120851i | 0.631278 | − | 0.775557i | \(-0.282531\pi\) |
−0.443229 | + | 0.896408i | \(0.646167\pi\) | |||||||
\(648\) | −3.72262 | + | 2.39238i | −0.146238 | + | 0.0939815i | ||||
\(649\) | 1.72331 | − | 11.9859i | 0.0676459 | − | 0.470487i | ||||
\(650\) | −30.4107 | − | 19.5437i | −1.19280 | − | 0.766569i | ||||
\(651\) | −18.1568 | + | 39.7579i | −0.711621 | + | 1.55823i | ||||
\(652\) | −14.0800 | + | 16.2491i | −0.551413 | + | 0.636365i | ||||
\(653\) | −3.74699 | − | 4.32426i | −0.146631 | − | 0.169221i | 0.677683 | − | 0.735354i | \(-0.262984\pi\) |
−0.824314 | + | 0.566133i | \(0.808439\pi\) | |||||||
\(654\) | −1.71054 | − | 11.8971i | −0.0668874 | − | 0.465212i | ||||
\(655\) | −4.27872 | + | 9.36909i | −0.167183 | + | 0.366081i | ||||
\(656\) | −18.3610 | + | 21.1897i | −0.716877 | + | 0.827320i | ||||
\(657\) | −31.8139 | + | 9.34141i | −1.24118 | + | 0.364443i | ||||
\(658\) | −21.4158 | + | 6.28825i | −0.834876 | + | 0.245142i | ||||
\(659\) | −5.85038 | − | 40.6903i | −0.227898 | − | 1.58507i | −0.706939 | − | 0.707275i | \(-0.749924\pi\) |
0.479040 | − | 0.877793i | \(-0.340985\pi\) | |||||||
\(660\) | 19.9044 | − | 12.7918i | 0.774778 | − | 0.497920i | ||||
\(661\) | 8.49335 | + | 18.5978i | 0.330353 | + | 0.723372i | 0.999810 | − | 0.0194786i | \(-0.00620062\pi\) |
−0.669457 | + | 0.742850i | \(0.733473\pi\) | |||||||
\(662\) | 43.0445 | + | 12.6390i | 1.67297 | + | 0.491229i | ||||
\(663\) | 29.8796 | + | 65.4272i | 1.16043 | + | 2.54098i | ||||
\(664\) | −0.00654563 | + | 0.0455259i | −0.000254020 | + | 0.00176675i | ||||
\(665\) | 0.704159 | + | 4.89753i | 0.0273061 | + | 0.189918i | ||||
\(666\) | −16.7049 | + | 19.2785i | −0.647302 | + | 0.747026i | ||||
\(667\) | −20.1551 | − | 12.9529i | −0.780407 | − | 0.501537i | ||||
\(668\) | 4.56158 | + | 9.98846i | 0.176493 | + | 0.386465i | ||||
\(669\) | 40.6263 | 1.57070 | ||||||||
\(670\) | −13.5660 | + | 17.6917i | −0.524100 | + | 0.683489i | ||||
\(671\) | −6.56362 | −0.253386 | ||||||||
\(672\) | 17.5261 | + | 38.3769i | 0.676085 | + | 1.48042i | ||||
\(673\) | −13.5297 | − | 8.69498i | −0.521530 | − | 0.335167i | 0.253247 | − | 0.967402i | \(-0.418501\pi\) |
−0.774777 | + | 0.632235i | \(0.782138\pi\) | |||||||
\(674\) | −24.5137 | + | 28.2903i | −0.944231 | + | 1.08970i | ||||
\(675\) | −0.537966 | − | 3.74164i | −0.0207063 | − | 0.144016i | ||||
\(676\) | −6.42008 | + | 44.6526i | −0.246926 | + | 1.71741i | ||||
\(677\) | −11.9241 | − | 26.1102i | −0.458281 | − | 1.00350i | −0.987876 | − | 0.155245i | \(-0.950383\pi\) |
0.529595 | − | 0.848251i | \(-0.322344\pi\) | |||||||
\(678\) | −28.8794 | − | 8.47977i | −1.10911 | − | 0.325663i | ||||
\(679\) | 6.68085 | + | 14.6290i | 0.256388 | + | 0.561410i | ||||
\(680\) | −3.25350 | + | 2.09090i | −0.124766 | + | 0.0801824i | ||||
\(681\) | −3.67804 | − | 25.5813i | −0.140943 | − | 0.980278i | ||||
\(682\) | −55.4816 | + | 16.2909i | −2.12450 | + | 0.623810i | ||||
\(683\) | −34.9813 | + | 10.2714i | −1.33852 | + | 0.393025i | −0.871142 | − | 0.491032i | \(-0.836620\pi\) |
−0.467379 | + | 0.884057i | \(0.654802\pi\) | |||||||
\(684\) | 6.07155 | − | 7.00695i | 0.232152 | − | 0.267917i | ||||
\(685\) | −5.07959 | + | 11.1228i | −0.194081 | + | 0.424979i | ||||
\(686\) | 5.50153 | + | 38.2640i | 0.210049 | + | 1.46093i | ||||
\(687\) | 19.0124 | + | 21.9415i | 0.725370 | + | 0.837122i | ||||
\(688\) | 33.6453 | − | 38.8287i | 1.28272 | − | 1.48033i | ||||
\(689\) | −1.15976 | + | 2.53952i | −0.0441833 | + | 0.0967479i | ||||
\(690\) | −28.7629 | − | 18.4848i | −1.09499 | − | 0.703704i | ||||
\(691\) | 4.76525 | − | 33.1431i | 0.181279 | − | 1.26082i | −0.672465 | − | 0.740129i | \(-0.734765\pi\) |
0.853744 | − | 0.520693i | \(-0.174326\pi\) | |||||||
\(692\) | 3.45508 | − | 2.22045i | 0.131342 | − | 0.0844087i | ||||
\(693\) | −25.2950 | − | 16.2561i | −0.960879 | − | 0.617520i | ||||
\(694\) | −32.1140 | − | 37.0615i | −1.21903 | − | 1.40684i | ||||
\(695\) | −0.825287 | + | 0.242326i | −0.0313049 | + | 0.00919195i | ||||
\(696\) | −4.94717 | − | 5.70933i | −0.187522 | − | 0.216412i | ||||
\(697\) | 3.93582 | − | 27.3742i | 0.149080 | − | 1.03687i | ||||
\(698\) | 55.9273 | + | 16.4217i | 2.11688 | + | 0.621572i | ||||
\(699\) | −58.2755 | −2.20418 | ||||||||
\(700\) | 11.1118 | 0.419987 | ||||||||
\(701\) | −22.3215 | − | 6.55419i | −0.843072 | − | 0.247548i | −0.168449 | − | 0.985710i | \(-0.553876\pi\) |
−0.674623 | + | 0.738162i | \(0.735694\pi\) | |||||||
\(702\) | −12.8971 | + | 8.28848i | −0.486771 | + | 0.312829i | ||||
\(703\) | 2.48869 | − | 5.44946i | 0.0938626 | − | 0.205530i | ||||
\(704\) | −8.54300 | + | 18.7066i | −0.321977 | + | 0.705030i | ||||
\(705\) | 16.0018 | − | 10.2838i | 0.602664 | − | 0.387309i | ||||
\(706\) | 9.36699 | + | 2.75040i | 0.352531 | + | 0.103512i | ||||
\(707\) | −44.0670 | −1.65731 | ||||||||
\(708\) | 13.3593 | 0.502073 | ||||||||
\(709\) | −19.8397 | − | 5.82545i | −0.745095 | − | 0.218779i | −0.112918 | − | 0.993604i | \(-0.536020\pi\) |
−0.632176 | + | 0.774825i | \(0.717838\pi\) | |||||||
\(710\) | 1.33264 | − | 9.26871i | 0.0500130 | − | 0.347848i | ||||
\(711\) | −16.5049 | − | 19.0477i | −0.618982 | − | 0.714343i | ||||
\(712\) | −2.90305 | + | 0.852413i | −0.108797 | + | 0.0319455i | ||||
\(713\) | 25.0007 | + | 28.8524i | 0.936285 | + | 1.08053i | ||||
\(714\) | −40.7091 | − | 26.1622i | −1.52350 | − | 0.979094i | ||||
\(715\) | 29.2855 | − | 18.8207i | 1.09522 | − | 0.703853i | ||||
\(716\) | −0.253277 | + | 1.76158i | −0.00946540 | + | 0.0658333i | ||||
\(717\) | 12.0276 | + | 7.72968i | 0.449179 | + | 0.288670i | ||||
\(718\) | 8.80693 | − | 19.2845i | 0.328672 | − | 0.719690i | ||||
\(719\) | 15.0115 | − | 17.3242i | 0.559836 | − | 0.646085i | −0.403310 | − | 0.915063i | \(-0.632140\pi\) |
0.963146 | + | 0.268978i | \(0.0866859\pi\) | |||||||
\(720\) | −14.7365 | − | 17.0069i | −0.549198 | − | 0.633808i | ||||
\(721\) | −2.99554 | − | 20.8344i | −0.111560 | − | 0.775915i | ||||
\(722\) | 13.1666 | − | 28.8308i | 0.490009 | − | 1.07297i | ||||
\(723\) | 28.0013 | − | 32.3152i | 1.04138 | − | 1.20181i | ||||
\(724\) | −6.80678 | + | 1.99865i | −0.252972 | + | 0.0742793i | ||||
\(725\) | −13.9352 | + | 4.09175i | −0.517542 | + | 0.151964i | ||||
\(726\) | −2.86111 | − | 19.8994i | −0.106186 | − | 0.738537i | ||||
\(727\) | −1.80712 | + | 1.16136i | −0.0670222 | + | 0.0430725i | −0.573723 | − | 0.819050i | \(-0.694501\pi\) |
0.506701 | + | 0.862122i | \(0.330865\pi\) | |||||||
\(728\) | 3.53269 | + | 7.73551i | 0.130930 | + | 0.286697i | ||||
\(729\) | 33.6577 | + | 9.88280i | 1.24658 | + | 0.366029i | ||||
\(730\) | 10.7287 | + | 23.4926i | 0.397087 | + | 0.869499i | ||||
\(731\) | −7.21212 | + | 50.1614i | −0.266750 | + | 1.85529i | ||||
\(732\) | −1.03054 | − | 7.16754i | −0.0380897 | − | 0.264920i | ||||
\(733\) | 25.8217 | − | 29.7998i | 0.953745 | − | 1.10068i | −0.0410883 | − | 0.999156i | \(-0.513083\pi\) |
0.994833 | − | 0.101525i | \(-0.0323720\pi\) | |||||||
\(734\) | 45.2098 | + | 29.0546i | 1.66872 | + | 1.07242i | ||||
\(735\) | −3.16577 | − | 6.93206i | −0.116771 | − | 0.255693i | ||||
\(736\) | 36.8511 | 1.35835 | ||||||||
\(737\) | 14.9247 | + | 28.1005i | 0.549757 | + | 1.03510i | ||||
\(738\) | 41.4940 | 1.52741 | ||||||||
\(739\) | 12.3231 | + | 26.9837i | 0.453311 | + | 0.992612i | 0.988962 | + | 0.148173i | \(0.0473391\pi\) |
−0.535651 | + | 0.844440i | \(0.679934\pi\) | |||||||
\(740\) | 7.63703 | + | 4.90802i | 0.280743 | + | 0.180423i | ||||
\(741\) | 16.5972 | − | 19.1542i | 0.609713 | − | 0.703647i | ||||
\(742\) | −0.267305 | − | 1.85915i | −0.00981309 | − | 0.0682516i | ||||
\(743\) | 2.68991 | − | 18.7087i | 0.0986831 | − | 0.686356i | −0.879085 | − | 0.476666i | \(-0.841845\pi\) |
0.977768 | − | 0.209691i | \(-0.0672457\pi\) | |||||||
\(744\) | 5.00077 | + | 10.9501i | 0.183337 | + | 0.401452i | ||||
\(745\) | 4.32056 | + | 1.26863i | 0.158293 | + | 0.0464791i | ||||
\(746\) | −30.3393 | − | 66.4339i | −1.11080 | − | 2.43232i | ||||
\(747\) | 0.222069 | − | 0.142715i | 0.00812506 | − | 0.00522166i | ||||
\(748\) | −4.16273 | − | 28.9524i | −0.152205 | − | 1.05861i | ||||
\(749\) | 24.1041 | − | 7.07761i | 0.880745 | − | 0.258610i | ||||
\(750\) | −53.1921 | + | 15.6186i | −1.94230 | + | 0.570311i | ||||
\(751\) | −2.12860 | + | 2.45653i | −0.0776736 | + | 0.0896402i | −0.793256 | − | 0.608888i | \(-0.791616\pi\) |
0.715583 | + | 0.698528i | \(0.246161\pi\) | |||||||
\(752\) | −9.90362 | + | 21.6859i | −0.361148 | + | 0.790803i | ||||
\(753\) | −9.48499 | − | 65.9695i | −0.345652 | − | 2.40406i | ||||
\(754\) | 38.5729 | + | 44.5155i | 1.40474 | + | 1.62116i | ||||
\(755\) | −3.35637 | + | 3.87345i | −0.122151 | + | 0.140969i | ||||
\(756\) | 1.95765 | − | 4.28664i | 0.0711989 | − | 0.155904i | ||||
\(757\) | 20.3645 | + | 13.0875i | 0.740160 | + | 0.475672i | 0.855597 | − | 0.517643i | \(-0.173190\pi\) |
−0.115437 | + | 0.993315i | \(0.536827\pi\) | |||||||
\(758\) | −4.40192 | + | 30.6160i | −0.159885 | + | 1.11202i | ||||
\(759\) | −41.0501 | + | 26.3813i | −1.49002 | + | 0.957580i | ||||
\(760\) | 1.14642 | + | 0.736761i | 0.0415851 | + | 0.0267251i | ||||
\(761\) | −27.3324 | − | 31.5433i | −0.990799 | − | 1.14344i | −0.989658 | − | 0.143444i | \(-0.954182\pi\) |
−0.00114096 | − | 0.999999i | \(-0.500363\pi\) | |||||||
\(762\) | −27.1128 | + | 7.96103i | −0.982192 | + | 0.288398i | ||||
\(763\) | 3.55976 | + | 4.10818i | 0.128872 | + | 0.148726i | ||||
\(764\) | 2.85118 | − | 19.8304i | 0.103152 | − | 0.717439i | ||||
\(765\) | 21.2973 | + | 6.25346i | 0.770006 | + | 0.226094i | ||||
\(766\) | 34.8335 | 1.25859 | ||||||||
\(767\) | 19.6556 | 0.709723 | ||||||||
\(768\) | 48.4635 | + | 14.2302i | 1.74878 | + | 0.513487i | ||||
\(769\) | −27.3944 | + | 17.6053i | −0.987867 | + | 0.634864i | −0.931574 | − | 0.363551i | \(-0.881564\pi\) |
−0.0562926 | + | 0.998414i | \(0.517928\pi\) | |||||||
\(770\) | −9.72927 | + | 21.3041i | −0.350619 | + | 0.767748i | ||||
\(771\) | 17.3626 | − | 38.0189i | 0.625300 | − | 1.36922i | ||||
\(772\) | 13.9138 | − | 8.94184i | 0.500768 | − | 0.321824i | ||||
\(773\) | −1.36700 | − | 0.401387i | −0.0491676 | − | 0.0144369i | 0.257056 | − | 0.966396i | \(-0.417247\pi\) |
−0.306224 | + | 0.951960i | \(0.599066\pi\) | |||||||
\(774\) | −76.0349 | −2.73302 | ||||||||
\(775\) | 23.1430 | 0.831320 | ||||||||
\(776\) | 4.25000 | + | 1.24791i | 0.152566 | + | 0.0447974i | ||||
\(777\) | 3.05046 | − | 21.2164i | 0.109435 | − | 0.761135i | ||||
\(778\) | −23.1980 | − | 26.7719i | −0.831688 | − | 0.959819i | ||||
\(779\) | −9.35018 | + | 2.74546i | −0.335005 | + | 0.0983663i | ||||
\(780\) | 25.1504 | + | 29.0251i | 0.900528 | + | 1.03927i | ||||
\(781\) | −11.2427 | − | 7.22524i | −0.402295 | − | 0.258539i | ||||
\(782\) | −35.5581 | + | 22.8518i | −1.27155 | + | 0.817179i | ||||
\(783\) | −0.876577 | + | 6.09673i | −0.0313263 | + | 0.217879i | ||||
\(784\) | 8.03512 | + | 5.16386i | 0.286968 | + | 0.184423i | ||||
\(785\) | −4.04372 | + | 8.85451i | −0.144327 | + | 0.316031i | ||||
\(786\) | −23.2444 | + | 26.8255i | −0.829100 | + | 0.956833i | ||||
\(787\) | 33.4017 | + | 38.5476i | 1.19064 | + | 1.37407i | 0.910183 | + | 0.414206i | \(0.135941\pi\) |
0.280457 | + | 0.959866i | \(0.409514\pi\) | |||||||
\(788\) | −5.59291 | − | 38.8996i | −0.199239 | − | 1.38574i | ||||
\(789\) | −17.1246 | + | 37.4977i | −0.609652 | + | 1.33495i | ||||
\(790\) | −12.8559 | + | 14.8365i | −0.457392 | + | 0.527859i | ||||
\(791\) | 13.0610 | − | 3.83507i | 0.464397 | − | 0.136359i | ||||
\(792\) | −7.94598 | + | 2.33315i | −0.282348 | + | 0.0829049i | ||||
\(793\) | −1.51624 | − | 10.5457i | −0.0538431 | − | 0.374487i | ||||
\(794\) | −3.07597 | + | 1.97681i | −0.109162 | + | 0.0701542i | ||||
\(795\) | 0.664951 | + | 1.45604i | 0.0235834 | + | 0.0516404i | ||||
\(796\) | 33.3231 | + | 9.78455i | 1.18111 | + | 0.346804i | ||||
\(797\) | −13.5570 | − | 29.6856i | −0.480213 | − | 1.05152i | −0.982405 | − | 0.186763i | \(-0.940200\pi\) |
0.502192 | − | 0.864756i | \(-0.332527\pi\) | |||||||
\(798\) | −2.42666 | + | 16.8778i | −0.0859027 | + | 0.597466i | ||||
\(799\) | −3.34656 | − | 23.2758i | −0.118393 | − | 0.823440i | ||||
\(800\) | 14.6290 | − | 16.8828i | 0.517213 | − | 0.596896i | ||||
\(801\) | 14.6083 | + | 9.38817i | 0.516158 | + | 0.331715i | ||||
\(802\) | 29.9873 | + | 65.6631i | 1.05889 | + | 2.31865i | ||||
\(803\) | 36.8592 | 1.30073 | ||||||||
\(804\) | −28.3428 | + | 20.7099i | −0.999572 | + | 0.730380i | ||||
\(805\) | 15.4630 | 0.545000 | ||||||||
\(806\) | −38.9908 | − | 85.3780i | −1.37339 | − | 3.00731i | ||||
\(807\) | 43.4496 | + | 27.9233i | 1.52950 | + | 0.982948i | ||||
\(808\) | −7.94804 | + | 9.17252i | −0.279611 | + | 0.322688i | ||||
\(809\) | −3.15179 | − | 21.9212i | −0.110811 | − | 0.770709i | −0.967134 | − | 0.254268i | \(-0.918166\pi\) |
0.856323 | − | 0.516441i | \(-0.172743\pi\) | |||||||
\(810\) | 2.81527 | − | 19.5806i | 0.0989184 | − | 0.687993i | ||||
\(811\) | 9.00785 | + | 19.7244i | 0.316308 | + | 0.692618i | 0.999284 | − | 0.0378221i | \(-0.0120420\pi\) |
−0.682976 | + | 0.730441i | \(0.739315\pi\) | |||||||
\(812\) | −17.3725 | − | 5.10101i | −0.609654 | − | 0.179010i | ||||
\(813\) | −3.42236 | − | 7.49391i | −0.120027 | − | 0.262823i | ||||
\(814\) | 23.8557 | − | 15.3311i | 0.836142 | − | 0.537356i | ||||
\(815\) | 2.58124 | + | 17.9529i | 0.0904168 | + | 0.628863i | ||||
\(816\) | −49.5935 | + | 14.5620i | −1.73612 | + | 0.509771i | ||||
\(817\) | 17.1336 | − | 5.03087i | 0.599427 | − | 0.176008i | ||||
\(818\) | 30.0895 | − | 34.7252i | 1.05206 | − | 1.21414i | ||||
\(819\) | 20.2751 | − | 44.3964i | 0.708471 | − | 1.55133i | ||||
\(820\) | −2.10154 | − | 14.6165i | −0.0733890 | − | 0.510432i | ||||
\(821\) | −18.3812 | − | 21.2131i | −0.641509 | − | 0.740341i | 0.338132 | − | 0.941099i | \(-0.390205\pi\) |
−0.979641 | + | 0.200758i | \(0.935660\pi\) | |||||||
\(822\) | −27.5952 | + | 31.8465i | −0.962492 | + | 1.11078i | ||||
\(823\) | 8.98177 | − | 19.6673i | 0.313085 | − | 0.685560i | −0.686032 | − | 0.727571i | \(-0.740649\pi\) |
0.999117 | + | 0.0420110i | \(0.0133764\pi\) | |||||||
\(824\) | −4.87696 | − | 3.13423i | −0.169897 | − | 0.109186i | ||||
\(825\) | −4.20971 | + | 29.2792i | −0.146563 | + | 1.01937i | ||||
\(826\) | −11.1246 | + | 7.14937i | −0.387075 | + | 0.248758i | ||||
\(827\) | 36.4091 | + | 23.3987i | 1.26607 | + | 0.813652i | 0.989103 | − | 0.147227i | \(-0.0470349\pi\) |
0.276965 | + | 0.960880i | \(0.410671\pi\) | |||||||
\(828\) | −18.9747 | − | 21.8979i | −0.659415 | − | 0.761006i | ||||
\(829\) | −32.8733 | + | 9.65248i | −1.14174 | + | 0.335245i | −0.797311 | − | 0.603569i | \(-0.793745\pi\) |
−0.344427 | + | 0.938813i | \(0.611927\pi\) | |||||||
\(830\) | −0.134648 | − | 0.155392i | −0.00467369 | − | 0.00539372i | ||||
\(831\) | −9.34175 | + | 64.9733i | −0.324062 | + | 2.25390i | ||||
\(832\) | −32.0290 | − | 9.40456i | −1.11041 | − | 0.326044i | ||||
\(833\) | −9.42112 | −0.326422 | ||||||||
\(834\) | −2.96415 | −0.102640 | ||||||||
\(835\) | 8.88792 | + | 2.60973i | 0.307579 | + | 0.0903134i | ||||
\(836\) | −8.67059 | + | 5.57225i | −0.299878 | + | 0.192720i | ||||
\(837\) | 4.07726 | − | 8.92796i | 0.140931 | − | 0.308595i | ||||
\(838\) | −20.7985 | + | 45.5424i | −0.718474 | + | 1.57324i | ||||
\(839\) | −10.4962 | + | 6.74551i | −0.362369 | + | 0.232881i | −0.709138 | − | 0.705070i | \(-0.750915\pi\) |
0.346768 | + | 0.937951i | \(0.387279\pi\) | |||||||
\(840\) | 4.67829 | + | 1.37367i | 0.161416 | + | 0.0473961i | ||||
\(841\) | −5.33495 | −0.183964 | ||||||||
\(842\) | 4.58563 | 0.158031 | ||||||||
\(843\) | 26.9797 | + | 7.92194i | 0.929229 | + | 0.272846i | ||||
\(844\) | 2.50605 | − | 17.4300i | 0.0862619 | − | 0.599965i | ||||
\(845\) | 24.9209 | + | 28.7603i | 0.857307 | + | 0.989385i | ||||
\(846\) | 33.8525 | − | 9.93999i | 1.16387 | − | 0.341744i | ||||
\(847\) | 5.95417 | + | 6.87148i | 0.204588 | + | 0.236107i | ||||
\(848\) | −1.68773 | − | 1.08464i | −0.0579569 | − | 0.0372466i | ||||
\(849\) | 4.35468 | − | 2.79859i | 0.149452 | − | 0.0960472i | ||||
\(850\) | −3.64651 | + | 25.3620i | −0.125074 | + | 0.869909i | ||||
\(851\) | −15.7503 | − | 10.1221i | −0.539914 | − | 0.346981i | ||||
\(852\) | 6.12485 | − | 13.4115i | 0.209834 | − | 0.459472i | ||||
\(853\) | −2.25447 | + | 2.60180i | −0.0771917 | + | 0.0890839i | −0.793032 | − | 0.609180i | \(-0.791499\pi\) |
0.715840 | + | 0.698264i | \(0.246044\pi\) | |||||||
\(854\) | 4.69394 | + | 5.41710i | 0.160623 | + | 0.185369i | ||||
\(855\) | −1.11308 | − | 7.74165i | −0.0380666 | − | 0.264759i | ||||
\(856\) | 2.87428 | − | 6.29379i | 0.0982408 | − | 0.215117i | ||||
\(857\) | −14.5465 | + | 16.7876i | −0.496899 | + | 0.573452i | −0.947696 | − | 0.319175i | \(-0.896594\pi\) |
0.450797 | + | 0.892626i | \(0.351140\pi\) | |||||||
\(858\) | 115.108 | − | 33.7987i | 3.92972 | − | 1.15387i | ||||
\(859\) | 0.231912 | − | 0.0680956i | 0.00791275 | − | 0.00232339i | −0.277774 | − | 0.960647i | \(-0.589597\pi\) |
0.285687 | + | 0.958323i | \(0.407778\pi\) | |||||||
\(860\) | 3.85093 | + | 26.7838i | 0.131316 | + | 0.913321i | ||||
\(861\) | −29.3314 | + | 18.8501i | −0.999610 | + | 0.642411i | ||||
\(862\) | −9.09121 | − | 19.9070i | −0.309648 | − | 0.678034i | ||||
\(863\) | −40.6806 | − | 11.9449i | −1.38478 | − | 0.406609i | −0.497351 | − | 0.867549i | \(-0.665694\pi\) |
−0.887431 | + | 0.460940i | \(0.847512\pi\) | |||||||
\(864\) | −3.93564 | − | 8.61785i | −0.133893 | − | 0.293185i | ||||
\(865\) | 0.493068 | − | 3.42937i | 0.0167648 | − | 0.116602i | ||||
\(866\) | 1.64109 | + | 11.4140i | 0.0557665 | + | 0.387864i | ||||
\(867\) | 5.01072 | − | 5.78268i | 0.170173 | − | 0.196390i | ||||
\(868\) | 24.2713 | + | 15.5982i | 0.823821 | + | 0.529438i | ||||
\(869\) | 11.6390 | + | 25.4859i | 0.394827 | + | 0.864550i | ||||
\(870\) | 33.7719 | 1.14498 | ||||||||
\(871\) | −41.7009 | + | 30.4706i | −1.41298 | + | 1.03246i | ||||
\(872\) | 1.49716 | 0.0507003 | ||||||||
\(873\) | −10.5606 | − | 23.1244i | −0.357421 | − | 0.782644i | ||||
\(874\) | 12.5294 | + | 8.05218i | 0.423815 | + | 0.272369i | ||||
\(875\) | 16.4189 | − | 18.9484i | 0.555059 | − | 0.640572i | ||||
\(876\) | 5.78717 | + | 40.2506i | 0.195530 | + | 1.35994i | ||||
\(877\) | −2.72635 | + | 18.9622i | −0.0920622 | + | 0.640307i | 0.890584 | + | 0.454818i | \(0.150296\pi\) |
−0.982646 | + | 0.185488i | \(0.940613\pi\) | |||||||
\(878\) | −19.1833 | − | 42.0055i | −0.647404 | − | 1.41762i | ||||
\(879\) | −9.92941 | − | 2.91554i | −0.334911 | − | 0.0983386i | ||||
\(880\) | 10.3920 | + | 22.7553i | 0.350314 | + | 0.767081i | ||||
\(881\) | 29.4114 | − | 18.9016i | 0.990896 | − | 0.636810i | 0.0585148 | − | 0.998287i | \(-0.481364\pi\) |
0.932381 | + | 0.361476i | \(0.117727\pi\) | |||||||
\(882\) | −2.01165 | − | 13.9913i | −0.0677358 | − | 0.471113i | ||||
\(883\) | −2.32753 | + | 0.683425i | −0.0783276 | + | 0.0229991i | −0.320662 | − | 0.947194i | \(-0.603905\pi\) |
0.242334 | + | 0.970193i | \(0.422087\pi\) | |||||||
\(884\) | 45.5557 | − | 13.3764i | 1.53221 | − | 0.449896i | ||||
\(885\) | 7.38002 | − | 8.51700i | 0.248077 | − | 0.286296i | ||||
\(886\) | −5.39896 | + | 11.8221i | −0.181382 | + | 0.397171i | ||||
\(887\) | 5.11156 | + | 35.5517i | 0.171629 | + | 1.19371i | 0.875442 | + | 0.483323i | \(0.160570\pi\) |
−0.703812 | + | 0.710386i | \(0.748520\pi\) | |||||||
\(888\) | −3.86600 | − | 4.46160i | −0.129734 | − | 0.149721i | ||||
\(889\) | 8.36893 | − | 9.65826i | 0.280685 | − | 0.323928i | ||||
\(890\) | 5.61880 | − | 12.3035i | 0.188343 | − | 0.412413i | ||||
\(891\) | −23.7508 | − | 15.2637i | −0.795680 | − | 0.511353i | ||||
\(892\) | 3.81651 | − | 26.5444i | 0.127786 | − | 0.888773i | ||||
\(893\) | −6.97058 | + | 4.47972i | −0.233262 | + | 0.149908i | ||||
\(894\) | 13.0546 | + | 8.38967i | 0.436610 | + | 0.280592i | ||||
\(895\) | 0.983150 | + | 1.13462i | 0.0328631 | + | 0.0379260i | ||||
\(896\) | −10.2150 | + | 2.99940i | −0.341260 | + | 0.100203i | ||||
\(897\) | −51.8691 | − | 59.8602i | −1.73186 | − | 1.99867i | ||||
\(898\) | 8.76975 | − | 60.9949i | 0.292650 | − | 2.03543i | ||||
\(899\) | −36.1823 | − | 10.6241i | −1.20675 | − | 0.354333i | ||||
\(900\) | −17.5647 | −0.585489 | ||||||||
\(901\) | 1.97885 | 0.0659251 | ||||||||
\(902\) | −44.2586 | − | 12.9955i | −1.47365 | − | 0.432702i | ||||
\(903\) | 53.7477 | − | 34.5416i | 1.78861 | − | 1.14947i | ||||
\(904\) | 1.55745 | − | 3.41035i | 0.0518001 | − | 0.113426i | ||||
\(905\) | −2.48604 | + | 5.44366i | −0.0826387 | + | 0.180953i | ||||
\(906\) | −14.8588 | + | 9.54919i | −0.493652 | + | 0.317251i | ||||
\(907\) | −1.39686 | − | 0.410155i | −0.0463820 | − | 0.0136190i | 0.258459 | − | 0.966022i | \(-0.416785\pi\) |
−0.304841 | + | 0.952403i | \(0.598603\pi\) | |||||||
\(908\) | −17.0598 | −0.566150 | ||||||||
\(909\) | 69.6578 | 2.31040 | ||||||||
\(910\) | −36.4765 | − | 10.7105i | −1.20918 | − | 0.355048i | ||||
\(911\) | 0.328387 | − | 2.28398i | 0.0108799 | − | 0.0756716i | −0.983658 | − | 0.180047i | \(-0.942375\pi\) |
0.994538 | + | 0.104375i | \(0.0332842\pi\) | |||||||
\(912\) | 11.9268 | + | 13.7643i | 0.394937 | + | 0.455782i | ||||
\(913\) | −0.281561 | + | 0.0826738i | −0.00931831 | + | 0.00273610i | ||||
\(914\) | −35.3563 | − | 40.8034i | −1.16948 | − | 1.34966i | ||||
\(915\) | −5.13885 | − | 3.30254i | −0.169885 | − | 0.109178i | ||||
\(916\) | 16.1222 | − | 10.3611i | 0.532693 | − | 0.342341i | ||||
\(917\) | 2.28459 | − | 15.8897i | 0.0754438 | − | 0.524723i | ||||
\(918\) | 9.14157 | + | 5.87493i | 0.301717 | + | 0.193902i | ||||
\(919\) | −4.62666 | + | 10.1310i | −0.152619 | + | 0.334190i | −0.970463 | − | 0.241251i | \(-0.922442\pi\) |
0.817843 | + | 0.575441i | \(0.195170\pi\) | |||||||
\(920\) | 2.78895 | − | 3.21862i | 0.0919490 | − | 0.106115i | ||||
\(921\) | −26.5261 | − | 30.6127i | −0.874064 | − | 1.00872i | ||||
\(922\) | −1.33421 | − | 9.27963i | −0.0439399 | − | 0.305608i | ||||
\(923\) | 9.01153 | − | 19.7325i | 0.296618 | − | 0.649503i | ||||
\(924\) | −24.1489 | + | 27.8694i | −0.794442 | + | 0.916834i | ||||
\(925\) | −10.8898 | + | 3.19753i | −0.358054 | + | 0.105134i | ||||
\(926\) | −13.8932 | + | 4.07941i | −0.456559 | + | 0.134058i | ||||
\(927\) | 4.73512 | + | 32.9335i | 0.155522 | + | 1.08168i | ||||
\(928\) | −30.6216 | + | 19.6793i | −1.00520 | + | 0.646005i | ||||
\(929\) | −7.19807 | − | 15.7616i | −0.236161 | − | 0.517121i | 0.754030 | − | 0.656840i | \(-0.228107\pi\) |
−0.990191 | + | 0.139719i | \(0.955380\pi\) | |||||||
\(930\) | −51.6350 | − | 15.1614i | −1.69318 | − | 0.497162i | ||||
\(931\) | 1.37904 | + | 3.01968i | 0.0451963 | + | 0.0989661i | ||||
\(932\) | −5.47451 | + | 38.0760i | −0.179323 | + | 1.24722i | ||||
\(933\) | 3.68136 | + | 25.6044i | 0.120522 | + | 0.838251i | ||||
\(934\) | 1.55560 | − | 1.79526i | 0.0509009 | − | 0.0587428i | ||||
\(935\) | −20.7578 | − | 13.3402i | −0.678852 | − | 0.436271i | ||||
\(936\) | −5.58420 | − | 12.2277i | −0.182525 | − | 0.399675i | ||||
\(937\) | −47.2579 | −1.54385 | −0.771924 | − | 0.635715i | \(-0.780705\pi\) | ||||
−0.771924 | + | 0.635715i | \(0.780705\pi\) | |||||||
\(938\) | 12.5187 | − | 32.4136i | 0.408749 | − | 1.05834i | ||||
\(939\) | −13.3593 | −0.435965 | ||||||||
\(940\) | −5.21596 | − | 11.4214i | −0.170126 | − | 0.372523i | ||||
\(941\) | 5.21041 | + | 3.34853i | 0.169854 | + | 0.109159i | 0.622806 | − | 0.782376i | \(-0.285993\pi\) |
−0.452952 | + | 0.891535i | \(0.649629\pi\) | |||||||
\(942\) | −21.9677 | + | 25.3521i | −0.715748 | + | 0.826017i | ||||
\(943\) | 4.33413 | + | 30.1446i | 0.141139 | + | 0.981642i | ||||
\(944\) | −2.01015 | + | 13.9809i | −0.0654247 | + | 0.455039i | ||||
\(945\) | −1.65143 | − | 3.61612i | −0.0537209 | − | 0.117632i | ||||
\(946\) | 81.1008 | + | 23.8133i | 2.63681 | + | 0.774239i | ||||
\(947\) | 21.8090 | + | 47.7550i | 0.708697 | + | 1.55183i | 0.829097 | + | 0.559104i | \(0.188855\pi\) |
−0.120400 | + | 0.992725i | \(0.538418\pi\) | |||||||
\(948\) | −26.0034 | + | 16.7114i | −0.844553 | + | 0.542761i | ||||
\(949\) | 8.51470 | + | 59.2210i | 0.276399 | + | 1.92240i | ||||
\(950\) | 8.66287 | − | 2.54365i | 0.281061 | − | 0.0825268i | ||||
\(951\) | −5.92544 | + | 1.73987i | −0.192146 | + | 0.0564191i | ||||
\(952\) | 3.94730 | − | 4.55542i | 0.127933 | − | 0.147642i | ||||
\(953\) | −7.47164 | + | 16.3606i | −0.242030 | + | 0.529972i | −0.991195 | − | 0.132412i | \(-0.957728\pi\) |
0.749165 | + | 0.662384i | \(0.230455\pi\) | |||||||
\(954\) | 0.422536 | + | 2.93880i | 0.0136801 | + | 0.0951472i | ||||
\(955\) | −11.0675 | − | 12.7726i | −0.358135 | − | 0.413310i | ||||
\(956\) | 6.18031 | − | 7.13246i | 0.199885 | − | 0.230680i | ||||
\(957\) | 20.0225 | − | 43.8432i | 0.647237 | − | 1.41725i | ||||
\(958\) | −5.06868 | − | 3.25744i | −0.163762 | − | 0.105243i | ||||
\(959\) | 2.71221 | − | 18.8638i | 0.0875818 | − | 0.609145i | ||||
\(960\) | −16.1009 | + | 10.3474i | −0.519655 | + | 0.333962i | ||||
\(961\) | 24.4719 | + | 15.7271i | 0.789416 | + | 0.507327i | ||||
\(962\) | 30.1431 | + | 34.7870i | 0.971852 | + | 1.12158i | ||||
\(963\) | −38.1019 | + | 11.1877i | −1.22782 | + | 0.360520i | ||||
\(964\) | −18.4836 | − | 21.3312i | −0.595316 | − | 0.687032i | ||||
\(965\) | 1.98561 | − | 13.8102i | 0.0639190 | − | 0.444566i | ||||
\(966\) | 51.1298 | + | 15.0131i | 1.64507 | + | 0.483037i | ||||
\(967\) | −2.78178 | −0.0894560 | −0.0447280 | − | 0.998999i | \(-0.514242\pi\) | ||||
−0.0447280 | + | 0.998999i | \(0.514242\pi\) | |||||||
\(968\) | 2.50420 | 0.0804882 | ||||||||
\(969\) | −17.2368 | − | 5.06117i | −0.553724 | − | 0.162588i | ||||
\(970\) | −16.6580 | + | 10.7054i | −0.534855 | + | 0.343730i | ||||
\(971\) | −6.67739 | + | 14.6215i | −0.214288 | + | 0.469225i | −0.986000 | − | 0.166748i | \(-0.946674\pi\) |
0.771712 | + | 0.635972i | \(0.219401\pi\) | |||||||
\(972\) | 15.5939 | − | 34.1460i | 0.500176 | − | 1.09523i | ||||
\(973\) | 1.12776 | − | 0.724767i | 0.0361543 | − | 0.0232350i | ||||
\(974\) | −75.9027 | − | 22.2870i | −2.43208 | − | 0.714123i | ||||
\(975\) | −48.0148 | −1.53770 | ||||||||
\(976\) | 7.65610 | 0.245066 | ||||||||
\(977\) | −21.8824 | − | 6.42526i | −0.700081 | − | 0.205562i | −0.0877251 | − | 0.996145i | \(-0.527960\pi\) |
−0.612356 | + | 0.790582i | \(0.709778\pi\) | |||||||
\(978\) | −8.89540 | + | 61.8689i | −0.284443 | + | 1.97835i | ||||
\(979\) | −12.6413 | − | 14.5888i | −0.404018 | − | 0.466261i | ||||
\(980\) | −4.82667 | + | 1.41724i | −0.154182 | + | 0.0452720i | ||||
\(981\) | −5.62699 | − | 6.49390i | −0.179656 | − | 0.207334i | ||||
\(982\) | 3.09297 | + | 1.98773i | 0.0987008 | + | 0.0634311i | ||||
\(983\) | 27.2861 | − | 17.5357i | 0.870292 | − | 0.559303i | −0.0275499 | − | 0.999620i | \(-0.508771\pi\) |
0.897842 | + | 0.440318i | \(0.145134\pi\) | |||||||
\(984\) | −1.36664 | + | 9.50516i | −0.0435668 | + | 0.303013i | ||||
\(985\) | −27.8895 | − | 17.9235i | −0.888632 | − | 0.571089i | ||||
\(986\) | 17.3438 | − | 37.9776i | 0.552339 | − | 1.20945i | ||||
\(987\) | −19.4141 | + | 22.4051i | −0.617959 | + | 0.713163i | ||||
\(988\) | −10.9558 | − | 12.6437i | −0.348550 | − | 0.402248i | ||||
\(989\) | −7.94200 | − | 55.2379i | −0.252541 | − | 1.75646i | ||||
\(990\) | 15.3793 | − | 33.6759i | 0.488786 | − | 1.07029i | ||||
\(991\) | 21.3358 | − | 24.6228i | 0.677754 | − | 0.782170i | −0.307814 | − | 0.951446i | \(-0.599598\pi\) |
0.985569 | + | 0.169276i | \(0.0541431\pi\) | |||||||
\(992\) | 55.6531 | − | 16.3412i | 1.76699 | − | 0.518834i | ||||
\(993\) | 57.1734 | − | 16.7876i | 1.81434 | − | 0.532740i | ||||
\(994\) | 2.07701 | + | 14.4459i | 0.0658788 | + | 0.458197i | ||||
\(995\) | 24.6466 | − | 15.8394i | 0.781348 | − | 0.502142i | ||||
\(996\) | −0.134488 | − | 0.294487i | −0.00426141 | − | 0.00933118i | ||||
\(997\) | 46.5776 | + | 13.6764i | 1.47513 | + | 0.433137i | 0.917762 | − | 0.397131i | \(-0.129994\pi\) |
0.557366 | + | 0.830267i | \(0.311812\pi\) | |||||||
\(998\) | 8.04434 | + | 17.6147i | 0.254639 | + | 0.557582i | ||||
\(999\) | −0.685007 | + | 4.76433i | −0.0216726 | + | 0.150737i |
(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 | 67.2.e.c.14.1 | ✓ | 20 | |
3.2 | odd | 2 | 603.2.u.c.550.1 | 20 | |||
67.15 | even | 11 | 4489.2.a.l.1.1 | 10 | |||
67.24 | even | 11 | inner | 67.2.e.c.24.1 | yes | 20 | |
67.52 | odd | 22 | 4489.2.a.m.1.10 | 10 | |||
201.158 | odd | 22 | 603.2.u.c.91.1 | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
67.2.e.c.14.1 | ✓ | 20 | 1.1 | even | 1 | trivial | |
67.2.e.c.24.1 | yes | 20 | 67.24 | even | 11 | inner | |
603.2.u.c.91.1 | 20 | 201.158 | odd | 22 | |||
603.2.u.c.550.1 | 20 | 3.2 | odd | 2 | |||
4489.2.a.l.1.1 | 10 | 67.15 | even | 11 | |||
4489.2.a.m.1.10 | 10 | 67.52 | odd | 22 |