Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [418,2,Mod(23,418)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(418, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("418.23");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 418 = 2 \cdot 11 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 418.j (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.33774680449\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 309.3 | ||
Character | \(\chi\) | \(=\) | 418.309 |
Dual form | 418.2.j.a.23.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/418\mathbb{Z}\right)^\times\).
\(n\) | \(287\) | \(343\) |
\(\chi(n)\) | \(e\left(\frac{8}{9}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.939693 | − | 0.342020i | 0.664463 | − | 0.241845i | ||||
\(3\) | 0.291741 | − | 1.65454i | 0.168437 | − | 0.955252i | −0.777013 | − | 0.629484i | \(-0.783266\pi\) |
0.945450 | − | 0.325767i | \(-0.105623\pi\) | |||||||
\(4\) | 0.766044 | − | 0.642788i | 0.383022 | − | 0.321394i | ||||
\(5\) | 1.53274 | + | 1.28612i | 0.685460 | + | 0.575169i | 0.917596 | − | 0.397514i | \(-0.130127\pi\) |
−0.232136 | + | 0.972683i | \(0.574571\pi\) | |||||||
\(6\) | −0.291741 | − | 1.65454i | −0.119103 | − | 0.675465i | ||||
\(7\) | 1.45368 | + | 2.51785i | 0.549440 | + | 0.951657i | 0.998313 | + | 0.0580620i | \(0.0184921\pi\) |
−0.448873 | + | 0.893595i | \(0.648175\pi\) | |||||||
\(8\) | 0.500000 | − | 0.866025i | 0.176777 | − | 0.306186i | ||||
\(9\) | 0.166674 | + | 0.0606642i | 0.0555579 | + | 0.0202214i | ||||
\(10\) | 1.88018 | + | 0.684329i | 0.594565 | + | 0.216404i | ||||
\(11\) | 0.500000 | − | 0.866025i | 0.150756 | − | 0.261116i | ||||
\(12\) | −0.840034 | − | 1.45498i | −0.242497 | − | 0.420017i | ||||
\(13\) | −0.464402 | − | 2.63375i | −0.128802 | − | 0.730472i | −0.978977 | − | 0.203971i | \(-0.934615\pi\) |
0.850175 | − | 0.526500i | \(-0.176496\pi\) | |||||||
\(14\) | 2.22717 | + | 1.86882i | 0.595236 | + | 0.499462i | ||||
\(15\) | 2.57510 | − | 2.16077i | 0.664888 | − | 0.557907i | ||||
\(16\) | 0.173648 | − | 0.984808i | 0.0434120 | − | 0.246202i | ||||
\(17\) | −5.01723 | + | 1.82612i | −1.21686 | + | 0.442900i | −0.869078 | − | 0.494676i | \(-0.835287\pi\) |
−0.347780 | + | 0.937576i | \(0.613065\pi\) | |||||||
\(18\) | 0.177370 | 0.0418066 | ||||||||
\(19\) | −0.382995 | + | 4.34204i | −0.0878652 | + | 0.996132i | ||||
\(20\) | 2.00084 | 0.447402 | ||||||||
\(21\) | 4.58999 | − | 1.67062i | 1.00162 | − | 0.364559i | ||||
\(22\) | 0.173648 | − | 0.984808i | 0.0370219 | − | 0.209962i | ||||
\(23\) | −1.94137 | + | 1.62900i | −0.404803 | + | 0.339670i | −0.822347 | − | 0.568987i | \(-0.807336\pi\) |
0.417544 | + | 0.908657i | \(0.362891\pi\) | |||||||
\(24\) | −1.28701 | − | 1.07993i | −0.262709 | − | 0.220439i | ||||
\(25\) | −0.173061 | − | 0.981480i | −0.0346123 | − | 0.196296i | ||||
\(26\) | −1.33719 | − | 2.31608i | −0.262245 | − | 0.454221i | ||||
\(27\) | 2.66910 | − | 4.62302i | 0.513668 | − | 0.889700i | ||||
\(28\) | 2.73203 | + | 0.994376i | 0.516304 | + | 0.187919i | ||||
\(29\) | −4.10678 | − | 1.49474i | −0.762609 | − | 0.277567i | −0.0687076 | − | 0.997637i | \(-0.521888\pi\) |
−0.693902 | + | 0.720070i | \(0.744110\pi\) | |||||||
\(30\) | 1.68078 | − | 2.91119i | 0.306867 | − | 0.531509i | ||||
\(31\) | −4.86335 | − | 8.42357i | −0.873483 | − | 1.51292i | −0.858369 | − | 0.513032i | \(-0.828522\pi\) |
−0.0151140 | − | 0.999886i | \(-0.504811\pi\) | |||||||
\(32\) | −0.173648 | − | 0.984808i | −0.0306970 | − | 0.174091i | ||||
\(33\) | −1.28701 | − | 1.07993i | −0.224039 | − | 0.187991i | ||||
\(34\) | −4.09009 | + | 3.43199i | −0.701444 | + | 0.588581i | ||||
\(35\) | −1.01014 | + | 5.72880i | −0.170745 | + | 0.968344i | ||||
\(36\) | 0.166674 | − | 0.0606642i | 0.0277789 | − | 0.0101107i | ||||
\(37\) | −7.63430 | −1.25507 | −0.627536 | − | 0.778588i | \(-0.715936\pi\) | ||||
−0.627536 | + | 0.778588i | \(0.715936\pi\) | |||||||
\(38\) | 1.12517 | + | 4.21118i | 0.182526 | + | 0.683143i | ||||
\(39\) | −4.49315 | −0.719479 | ||||||||
\(40\) | 1.88018 | − | 0.684329i | 0.297282 | − | 0.108202i | ||||
\(41\) | 1.09725 | − | 6.22280i | 0.171361 | − | 0.971839i | −0.770899 | − | 0.636957i | \(-0.780193\pi\) |
0.942260 | − | 0.334881i | \(-0.108696\pi\) | |||||||
\(42\) | 3.74179 | − | 3.13974i | 0.577371 | − | 0.484472i | ||||
\(43\) | 5.28878 | + | 4.43782i | 0.806532 | + | 0.676761i | 0.949777 | − | 0.312927i | \(-0.101309\pi\) |
−0.143245 | + | 0.989687i | \(0.545754\pi\) | |||||||
\(44\) | −0.173648 | − | 0.984808i | −0.0261784 | − | 0.148465i | ||||
\(45\) | 0.177445 | + | 0.307344i | 0.0264520 | + | 0.0458162i | ||||
\(46\) | −1.26714 | + | 2.19475i | −0.186829 | + | 0.323598i | ||||
\(47\) | 10.3041 | + | 3.75039i | 1.50301 | + | 0.547050i | 0.956838 | − | 0.290623i | \(-0.0938626\pi\) |
0.546171 | + | 0.837674i | \(0.316085\pi\) | |||||||
\(48\) | −1.57875 | − | 0.574617i | −0.227873 | − | 0.0829389i | ||||
\(49\) | −0.726375 | + | 1.25812i | −0.103768 | + | 0.179731i | ||||
\(50\) | −0.498310 | − | 0.863099i | −0.0704717 | − | 0.122061i | ||||
\(51\) | 1.55767 | + | 8.83399i | 0.218118 | + | 1.23701i | ||||
\(52\) | −2.04870 | − | 1.71906i | −0.284103 | − | 0.238391i | ||||
\(53\) | −6.56725 | + | 5.51057i | −0.902081 | + | 0.756936i | −0.970596 | − | 0.240714i | \(-0.922618\pi\) |
0.0685152 | + | 0.997650i | \(0.478174\pi\) | |||||||
\(54\) | 0.926969 | − | 5.25710i | 0.126144 | − | 0.715401i | ||||
\(55\) | 1.88018 | − | 0.684329i | 0.253523 | − | 0.0922749i | ||||
\(56\) | 2.90736 | 0.388512 | ||||||||
\(57\) | 7.07236 | + | 1.90043i | 0.936757 | + | 0.251719i | ||||
\(58\) | −4.37034 | −0.573854 | ||||||||
\(59\) | −8.72132 | + | 3.17430i | −1.13542 | + | 0.413259i | −0.840257 | − | 0.542188i | \(-0.817596\pi\) |
−0.295163 | + | 0.955447i | \(0.595374\pi\) | |||||||
\(60\) | 0.583728 | − | 3.31049i | 0.0753590 | − | 0.427382i | ||||
\(61\) | −6.59794 | + | 5.53633i | −0.844780 | + | 0.708855i | −0.958634 | − | 0.284643i | \(-0.908125\pi\) |
0.113853 | + | 0.993498i | \(0.463681\pi\) | |||||||
\(62\) | −7.45108 | − | 6.25220i | −0.946289 | − | 0.794031i | ||||
\(63\) | 0.0895468 | + | 0.507845i | 0.0112818 | + | 0.0639825i | ||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | 2.67551 | − | 4.63412i | 0.331857 | − | 0.574792i | ||||
\(66\) | −1.57875 | − | 0.574617i | −0.194330 | − | 0.0707305i | ||||
\(67\) | 12.5072 | + | 4.55224i | 1.52800 | + | 0.556145i | 0.963130 | − | 0.269038i | \(-0.0867057\pi\) |
0.564866 | + | 0.825183i | \(0.308928\pi\) | |||||||
\(68\) | −2.66961 | + | 4.62391i | −0.323738 | + | 0.560731i | ||||
\(69\) | 2.12888 | + | 3.68732i | 0.256287 | + | 0.443902i | ||||
\(70\) | 1.01014 | + | 5.72880i | 0.120735 | + | 0.684723i | ||||
\(71\) | 3.47001 | + | 2.91168i | 0.411814 | + | 0.345553i | 0.825039 | − | 0.565076i | \(-0.191153\pi\) |
−0.413225 | + | 0.910629i | \(0.635598\pi\) | |||||||
\(72\) | 0.135874 | − | 0.114011i | 0.0160129 | − | 0.0134364i | ||||
\(73\) | 0.426832 | − | 2.42069i | 0.0499569 | − | 0.283320i | −0.949587 | − | 0.313502i | \(-0.898498\pi\) |
0.999544 | + | 0.0301824i | \(0.00960881\pi\) | |||||||
\(74\) | −7.17389 | + | 2.61108i | −0.833948 | + | 0.303532i | ||||
\(75\) | −1.67439 | −0.193342 | ||||||||
\(76\) | 2.49762 | + | 3.57238i | 0.286496 | + | 0.409780i | ||||
\(77\) | 2.90736 | 0.331325 | ||||||||
\(78\) | −4.22218 | + | 1.53675i | −0.478067 | + | 0.174002i | ||||
\(79\) | −1.80744 | + | 10.2505i | −0.203353 | + | 1.15327i | 0.696657 | + | 0.717404i | \(0.254670\pi\) |
−0.900010 | + | 0.435869i | \(0.856441\pi\) | |||||||
\(80\) | 1.53274 | − | 1.28612i | 0.171365 | − | 0.143792i | ||||
\(81\) | −6.46268 | − | 5.42283i | −0.718075 | − | 0.602537i | ||||
\(82\) | −1.09725 | − | 6.22280i | −0.121171 | − | 0.687194i | ||||
\(83\) | 3.34076 | + | 5.78636i | 0.366696 | + | 0.635136i | 0.989047 | − | 0.147602i | \(-0.0471556\pi\) |
−0.622351 | + | 0.782738i | \(0.713822\pi\) | |||||||
\(84\) | 2.44228 | − | 4.23016i | 0.266475 | − | 0.461548i | ||||
\(85\) | −10.0387 | − | 3.65379i | −1.08885 | − | 0.396309i | ||||
\(86\) | 6.48765 | + | 2.36131i | 0.699582 | + | 0.254627i | ||||
\(87\) | −3.67124 | + | 6.35877i | −0.393598 | + | 0.681731i | ||||
\(88\) | −0.500000 | − | 0.866025i | −0.0533002 | − | 0.0923186i | ||||
\(89\) | 0.0912390 | + | 0.517442i | 0.00967131 | + | 0.0548487i | 0.989261 | − | 0.146156i | \(-0.0466903\pi\) |
−0.979590 | + | 0.201005i | \(0.935579\pi\) | |||||||
\(90\) | 0.271862 | + | 0.228119i | 0.0286568 | + | 0.0240459i | ||||
\(91\) | 5.95630 | − | 4.99793i | 0.624390 | − | 0.523925i | ||||
\(92\) | −0.440072 | + | 2.49577i | −0.0458807 | + | 0.260202i | ||||
\(93\) | −15.3560 | + | 5.58913i | −1.59234 | + | 0.579566i | ||||
\(94\) | 10.9654 | 1.13100 | ||||||||
\(95\) | −6.17141 | + | 6.16262i | −0.633173 | + | 0.632272i | ||||
\(96\) | −1.68007 | −0.171471 | ||||||||
\(97\) | 7.14717 | − | 2.60136i | 0.725685 | − | 0.264128i | 0.0473481 | − | 0.998878i | \(-0.484923\pi\) |
0.678337 | + | 0.734751i | \(0.262701\pi\) | |||||||
\(98\) | −0.252267 | + | 1.43068i | −0.0254828 | + | 0.144520i | ||||
\(99\) | 0.135874 | − | 0.114011i | 0.0136558 | − | 0.0114586i | ||||
\(100\) | −0.763456 | − | 0.640616i | −0.0763456 | − | 0.0640616i | ||||
\(101\) | 0.496991 | + | 2.81858i | 0.0494525 | + | 0.280459i | 0.999499 | − | 0.0316492i | \(-0.0100759\pi\) |
−0.950047 | + | 0.312108i | \(0.898965\pi\) | |||||||
\(102\) | 4.48513 | + | 7.76848i | 0.444095 | + | 0.769194i | ||||
\(103\) | 7.52023 | − | 13.0254i | 0.740990 | − | 1.28343i | −0.211055 | − | 0.977474i | \(-0.567690\pi\) |
0.952045 | − | 0.305958i | \(-0.0989768\pi\) | |||||||
\(104\) | −2.51310 | − | 0.914693i | −0.246430 | − | 0.0896930i | ||||
\(105\) | 9.18386 | + | 3.34265i | 0.896253 | + | 0.326209i | ||||
\(106\) | −4.28647 | + | 7.42438i | −0.416338 | + | 0.721119i | ||||
\(107\) | −8.70913 | − | 15.0847i | −0.841944 | − | 1.45829i | −0.888249 | − | 0.459362i | \(-0.848078\pi\) |
0.0463053 | − | 0.998927i | \(-0.485255\pi\) | |||||||
\(108\) | −0.926969 | − | 5.25710i | −0.0891976 | − | 0.505865i | ||||
\(109\) | 3.59566 | + | 3.01712i | 0.344402 | + | 0.288988i | 0.798538 | − | 0.601945i | \(-0.205607\pi\) |
−0.454135 | + | 0.890933i | \(0.650052\pi\) | |||||||
\(110\) | 1.53274 | − | 1.28612i | 0.146141 | − | 0.122627i | ||||
\(111\) | −2.22724 | + | 12.6313i | −0.211400 | + | 1.19891i | ||||
\(112\) | 2.73203 | − | 0.994376i | 0.258152 | − | 0.0939597i | ||||
\(113\) | −6.85152 | −0.644536 | −0.322268 | − | 0.946648i | \(-0.604445\pi\) | ||||
−0.322268 | + | 0.946648i | \(0.604445\pi\) | |||||||
\(114\) | 7.29583 | − | 0.633068i | 0.683317 | − | 0.0592922i | ||||
\(115\) | −5.07069 | −0.472844 | ||||||||
\(116\) | −4.10678 | + | 1.49474i | −0.381305 | + | 0.138784i | ||||
\(117\) | 0.0823711 | − | 0.467150i | 0.00761521 | − | 0.0431880i | ||||
\(118\) | −7.10969 | + | 5.96574i | −0.654500 | + | 0.549191i | ||||
\(119\) | −11.8914 | − | 9.97804i | −1.09008 | − | 0.914685i | ||||
\(120\) | −0.583728 | − | 3.31049i | −0.0532868 | − | 0.302205i | ||||
\(121\) | −0.500000 | − | 0.866025i | −0.0454545 | − | 0.0787296i | ||||
\(122\) | −4.30650 | + | 7.45908i | −0.389892 | + | 0.675313i | ||||
\(123\) | −9.97579 | − | 3.63089i | −0.899487 | − | 0.327386i | ||||
\(124\) | −9.14011 | − | 3.32673i | −0.820806 | − | 0.298749i | ||||
\(125\) | 5.99915 | − | 10.3908i | 0.536581 | − | 0.929385i | ||||
\(126\) | 0.257840 | + | 0.446592i | 0.0229702 | + | 0.0397855i | ||||
\(127\) | 1.90206 | + | 10.7871i | 0.168781 | + | 0.957204i | 0.945080 | + | 0.326839i | \(0.105984\pi\) |
−0.776299 | + | 0.630365i | \(0.782905\pi\) | |||||||
\(128\) | −0.766044 | − | 0.642788i | −0.0677094 | − | 0.0568149i | ||||
\(129\) | 8.88552 | − | 7.45583i | 0.782326 | − | 0.656450i | ||||
\(130\) | 0.929196 | − | 5.26973i | 0.0814959 | − | 0.462186i | ||||
\(131\) | −1.57047 | + | 0.571605i | −0.137213 | + | 0.0499414i | −0.409714 | − | 0.912214i | \(-0.634371\pi\) |
0.272501 | + | 0.962156i | \(0.412149\pi\) | |||||||
\(132\) | −1.68007 | −0.146231 | ||||||||
\(133\) | −11.4894 | + | 5.34762i | −0.996253 | + | 0.463697i | ||||
\(134\) | 13.3099 | 1.14980 | ||||||||
\(135\) | 10.0368 | − | 3.65309i | 0.863828 | − | 0.314408i | ||||
\(136\) | −0.927147 | + | 5.25811i | −0.0795022 | + | 0.450880i | ||||
\(137\) | 8.19296 | − | 6.87471i | 0.699972 | − | 0.587346i | −0.221794 | − | 0.975094i | \(-0.571191\pi\) |
0.921766 | + | 0.387747i | \(0.126747\pi\) | |||||||
\(138\) | 3.26163 | + | 2.73683i | 0.277648 | + | 0.232975i | ||||
\(139\) | −0.533586 | − | 3.02612i | −0.0452582 | − | 0.256672i | 0.953781 | − | 0.300503i | \(-0.0971546\pi\) |
−0.999039 | + | 0.0438315i | \(0.986044\pi\) | |||||||
\(140\) | 2.90859 | + | 5.03782i | 0.245821 | + | 0.425774i | ||||
\(141\) | 9.21131 | − | 15.9545i | 0.775733 | − | 1.34361i | ||||
\(142\) | 4.25659 | + | 1.54927i | 0.357205 | + | 0.130012i | ||||
\(143\) | −2.51310 | − | 0.914693i | −0.210156 | − | 0.0764905i | ||||
\(144\) | 0.0886852 | − | 0.153607i | 0.00739043 | − | 0.0128006i | ||||
\(145\) | −4.37219 | − | 7.57285i | −0.363090 | − | 0.628891i | ||||
\(146\) | −0.426832 | − | 2.42069i | −0.0353249 | − | 0.200337i | ||||
\(147\) | 1.86970 | + | 1.56886i | 0.154210 | + | 0.129398i | ||||
\(148\) | −5.84821 | + | 4.90723i | −0.480720 | + | 0.403372i | ||||
\(149\) | −2.42688 | + | 13.7635i | −0.198818 | + | 1.12755i | 0.708058 | + | 0.706155i | \(0.249572\pi\) |
−0.906876 | + | 0.421398i | \(0.861539\pi\) | |||||||
\(150\) | −1.57341 | + | 0.572676i | −0.128469 | + | 0.0467588i | ||||
\(151\) | 10.9675 | 0.892519 | 0.446260 | − | 0.894904i | \(-0.352756\pi\) | ||||
0.446260 | + | 0.894904i | \(0.352756\pi\) | |||||||
\(152\) | 3.56882 | + | 2.50270i | 0.289469 | + | 0.202996i | ||||
\(153\) | −0.947021 | −0.0765621 | ||||||||
\(154\) | 2.73203 | − | 0.994376i | 0.220153 | − | 0.0801291i | ||||
\(155\) | 3.37947 | − | 19.1660i | 0.271446 | − | 1.53945i | ||||
\(156\) | −3.44195 | + | 2.88814i | −0.275577 | + | 0.231236i | ||||
\(157\) | −17.1567 | − | 14.3962i | −1.36926 | − | 1.14894i | −0.973000 | − | 0.230804i | \(-0.925864\pi\) |
−0.396257 | − | 0.918139i | \(-0.629691\pi\) | |||||||
\(158\) | 1.80744 | + | 10.2505i | 0.143792 | + | 0.815487i | ||||
\(159\) | 7.20156 | + | 12.4735i | 0.571121 | + | 0.989210i | ||||
\(160\) | 1.00042 | − | 1.73278i | 0.0790903 | − | 0.136988i | ||||
\(161\) | −6.92370 | − | 2.52002i | −0.545664 | − | 0.198606i | ||||
\(162\) | −7.92765 | − | 2.88543i | −0.622855 | − | 0.226701i | ||||
\(163\) | 12.0294 | − | 20.8355i | 0.942213 | − | 1.63196i | 0.180976 | − | 0.983488i | \(-0.442074\pi\) |
0.761237 | − | 0.648473i | \(-0.224592\pi\) | |||||||
\(164\) | −3.15940 | − | 5.47224i | −0.246708 | − | 0.427310i | ||||
\(165\) | −0.583728 | − | 3.31049i | −0.0454432 | − | 0.257721i | ||||
\(166\) | 5.11834 | + | 4.29480i | 0.397260 | + | 0.333341i | ||||
\(167\) | −8.90964 | + | 7.47608i | −0.689449 | + | 0.578516i | −0.918750 | − | 0.394839i | \(-0.870800\pi\) |
0.229302 | + | 0.973355i | \(0.426356\pi\) | |||||||
\(168\) | 0.848196 | − | 4.81036i | 0.0654397 | − | 0.371127i | ||||
\(169\) | 5.49502 | − | 2.00002i | 0.422694 | − | 0.153848i | ||||
\(170\) | −10.6830 | −0.819346 | ||||||||
\(171\) | −0.327242 | + | 0.700469i | −0.0250248 | + | 0.0535662i | ||||
\(172\) | 6.90402 | 0.526426 | ||||||||
\(173\) | −0.401513 | + | 0.146139i | −0.0305265 | + | 0.0111107i | −0.357238 | − | 0.934013i | \(-0.616282\pi\) |
0.326712 | + | 0.945124i | \(0.394059\pi\) | |||||||
\(174\) | −1.27501 | + | 7.23092i | −0.0966580 | + | 0.548175i | ||||
\(175\) | 2.21964 | − | 1.86250i | 0.167789 | − | 0.140792i | ||||
\(176\) | −0.766044 | − | 0.642788i | −0.0577428 | − | 0.0484519i | ||||
\(177\) | 2.70766 | + | 15.3559i | 0.203520 | + | 1.15422i | ||||
\(178\) | 0.262712 | + | 0.455031i | 0.0196911 | + | 0.0341060i | ||||
\(179\) | −12.9182 | + | 22.3750i | −0.965551 | + | 1.67238i | −0.257425 | + | 0.966298i | \(0.582874\pi\) |
−0.708127 | + | 0.706086i | \(0.750459\pi\) | |||||||
\(180\) | 0.333488 | + | 0.121380i | 0.0248567 | + | 0.00904711i | ||||
\(181\) | 2.79843 | + | 1.01854i | 0.208005 | + | 0.0757077i | 0.443922 | − | 0.896066i | \(-0.353587\pi\) |
−0.235916 | + | 0.971773i | \(0.575809\pi\) | |||||||
\(182\) | 3.88770 | − | 6.73369i | 0.288175 | − | 0.499135i | ||||
\(183\) | 7.23522 | + | 12.5318i | 0.534843 | + | 0.926375i | ||||
\(184\) | 0.440072 | + | 2.49577i | 0.0324426 | + | 0.183991i | ||||
\(185\) | −11.7014 | − | 9.81861i | −0.860301 | − | 0.721879i | ||||
\(186\) | −12.5183 | + | 10.5041i | −0.917889 | + | 0.770200i | ||||
\(187\) | −0.927147 | + | 5.25811i | −0.0677997 | + | 0.384511i | ||||
\(188\) | 10.3041 | − | 3.75039i | 0.751504 | − | 0.273525i | ||||
\(189\) | 15.5201 | 1.12892 | ||||||||
\(190\) | −3.69148 | + | 7.90172i | −0.267808 | + | 0.573251i | ||||
\(191\) | −6.30344 | −0.456101 | −0.228050 | − | 0.973649i | \(-0.573235\pi\) | ||||
−0.228050 | + | 0.973649i | \(0.573235\pi\) | |||||||
\(192\) | −1.57875 | + | 0.574617i | −0.113936 | + | 0.0414694i | ||||
\(193\) | 0.707818 | − | 4.01424i | 0.0509499 | − | 0.288951i | −0.948678 | − | 0.316245i | \(-0.897578\pi\) |
0.999627 | + | 0.0272939i | \(0.00868898\pi\) | |||||||
\(194\) | 5.82643 | − | 4.88895i | 0.418313 | − | 0.351006i | ||||
\(195\) | −6.88681 | − | 5.77872i | −0.493175 | − | 0.413823i | ||||
\(196\) | 0.252267 | + | 1.43068i | 0.0180191 | + | 0.102191i | ||||
\(197\) | 8.05786 | + | 13.9566i | 0.574099 | + | 0.994369i | 0.996139 | + | 0.0877914i | \(0.0279809\pi\) |
−0.422040 | + | 0.906577i | \(0.638686\pi\) | |||||||
\(198\) | 0.0886852 | − | 0.153607i | 0.00630258 | − | 0.0109164i | ||||
\(199\) | 3.24707 | + | 1.18184i | 0.230179 | + | 0.0837782i | 0.454535 | − | 0.890729i | \(-0.349806\pi\) |
−0.224356 | + | 0.974507i | \(0.572028\pi\) | |||||||
\(200\) | −0.936517 | − | 0.340864i | −0.0662218 | − | 0.0241028i | ||||
\(201\) | 11.1807 | − | 19.3656i | 0.788629 | − | 1.36595i | ||||
\(202\) | 1.43103 | + | 2.47862i | 0.100687 | + | 0.174395i | ||||
\(203\) | −2.20640 | − | 12.5131i | −0.154859 | − | 0.878249i | ||||
\(204\) | 6.87163 | + | 5.76598i | 0.481110 | + | 0.403699i | ||||
\(205\) | 9.68505 | − | 8.12672i | 0.676433 | − | 0.567595i | ||||
\(206\) | 2.61175 | − | 14.8120i | 0.181969 | − | 1.03200i | ||||
\(207\) | −0.422397 | + | 0.153740i | −0.0293586 | + | 0.0106857i | ||||
\(208\) | −2.67438 | −0.185435 | ||||||||
\(209\) | 3.56882 | + | 2.50270i | 0.246860 | + | 0.173116i | ||||
\(210\) | 9.77326 | 0.674419 | ||||||||
\(211\) | 6.35130 | − | 2.31168i | 0.437241 | − | 0.159143i | −0.114014 | − | 0.993479i | \(-0.536371\pi\) |
0.551256 | + | 0.834336i | \(0.314149\pi\) | |||||||
\(212\) | −1.48867 | + | 8.44269i | −0.102243 | + | 0.579846i | ||||
\(213\) | 5.82985 | − | 4.89182i | 0.399455 | − | 0.335182i | ||||
\(214\) | −13.3432 | − | 11.1962i | −0.912120 | − | 0.765360i | ||||
\(215\) | 2.39875 | + | 13.6040i | 0.163594 | + | 0.927785i | ||||
\(216\) | −2.66910 | − | 4.62302i | −0.181609 | − | 0.314556i | ||||
\(217\) | 14.1395 | − | 24.4904i | 0.959853 | − | 1.66251i | ||||
\(218\) | 4.41073 | + | 1.60538i | 0.298733 | + | 0.108730i | ||||
\(219\) | −3.88061 | − | 1.41243i | −0.262227 | − | 0.0954429i | ||||
\(220\) | 1.00042 | − | 1.73278i | 0.0674485 | − | 0.116824i | ||||
\(221\) | 7.13957 | + | 12.3661i | 0.480260 | + | 0.831834i | ||||
\(222\) | 2.22724 | + | 12.6313i | 0.149482 | + | 0.847756i | ||||
\(223\) | −2.87904 | − | 2.41580i | −0.192795 | − | 0.161774i | 0.541281 | − | 0.840842i | \(-0.317940\pi\) |
−0.734075 | + | 0.679068i | \(0.762384\pi\) | |||||||
\(224\) | 2.22717 | − | 1.86882i | 0.148809 | − | 0.124866i | ||||
\(225\) | 0.0306960 | − | 0.174085i | 0.00204640 | − | 0.0116057i | ||||
\(226\) | −6.43832 | + | 2.34336i | −0.428271 | + | 0.155878i | ||||
\(227\) | −6.21529 | −0.412523 | −0.206262 | − | 0.978497i | \(-0.566130\pi\) | ||||
−0.206262 | + | 0.978497i | \(0.566130\pi\) | |||||||
\(228\) | 6.63932 | − | 3.09021i | 0.439700 | − | 0.204654i | ||||
\(229\) | 1.95132 | 0.128947 | 0.0644733 | − | 0.997919i | \(-0.479463\pi\) | ||||
0.0644733 | + | 0.997919i | \(0.479463\pi\) | |||||||
\(230\) | −4.76489 | + | 1.73428i | −0.314188 | + | 0.114355i | ||||
\(231\) | 0.848196 | − | 4.81036i | 0.0558072 | − | 0.316498i | ||||
\(232\) | −3.34787 | + | 2.80920i | −0.219799 | + | 0.184433i | ||||
\(233\) | −6.45616 | − | 5.41736i | −0.422957 | − | 0.354903i | 0.406330 | − | 0.913727i | \(-0.366809\pi\) |
−0.829287 | + | 0.558823i | \(0.811253\pi\) | |||||||
\(234\) | −0.0823711 | − | 0.467150i | −0.00538477 | − | 0.0305385i | ||||
\(235\) | 10.9700 | + | 19.0007i | 0.715606 | + | 1.23947i | ||||
\(236\) | −4.64052 | + | 8.03762i | −0.302072 | + | 0.523204i | ||||
\(237\) | 16.4326 | + | 5.98099i | 1.06741 | + | 0.388507i | ||||
\(238\) | −14.5869 | − | 5.30920i | −0.945529 | − | 0.344144i | ||||
\(239\) | 1.61190 | − | 2.79190i | 0.104265 | − | 0.180593i | −0.809172 | − | 0.587571i | \(-0.800084\pi\) |
0.913438 | + | 0.406978i | \(0.133418\pi\) | |||||||
\(240\) | −1.68078 | − | 2.91119i | −0.108494 | − | 0.187917i | ||||
\(241\) | −2.87259 | − | 16.2913i | −0.185040 | − | 1.04941i | −0.925904 | − | 0.377759i | \(-0.876695\pi\) |
0.740864 | − | 0.671655i | \(-0.234416\pi\) | |||||||
\(242\) | −0.766044 | − | 0.642788i | −0.0492432 | − | 0.0413200i | ||||
\(243\) | 1.41015 | − | 1.18326i | 0.0904612 | − | 0.0759060i | ||||
\(244\) | −1.49563 | + | 8.48215i | −0.0957481 | + | 0.543014i | ||||
\(245\) | −2.73143 | + | 0.994159i | −0.174505 | + | 0.0635145i | ||||
\(246\) | −10.6160 | −0.676852 | ||||||||
\(247\) | 11.6137 | − | 1.00774i | 0.738964 | − | 0.0641207i | ||||
\(248\) | −9.72670 | −0.617646 | ||||||||
\(249\) | 10.5484 | − | 3.83932i | 0.668480 | − | 0.243307i | ||||
\(250\) | 2.08348 | − | 11.8160i | 0.131771 | − | 0.747311i | ||||
\(251\) | −17.6375 | + | 14.7996i | −1.11327 | + | 0.934143i | −0.998245 | − | 0.0592201i | \(-0.981139\pi\) |
−0.115023 | + | 0.993363i | \(0.536694\pi\) | |||||||
\(252\) | 0.395034 | + | 0.331472i | 0.0248848 | + | 0.0208808i | ||||
\(253\) | 0.440072 | + | 2.49577i | 0.0276671 | + | 0.156908i | ||||
\(254\) | 5.47678 | + | 9.48606i | 0.343644 | + | 0.595208i | ||||
\(255\) | −8.97406 | + | 15.5435i | −0.561977 | + | 0.973373i | ||||
\(256\) | −0.939693 | − | 0.342020i | −0.0587308 | − | 0.0213763i | ||||
\(257\) | 15.3858 | + | 5.59997i | 0.959740 | + | 0.349317i | 0.773932 | − | 0.633269i | \(-0.218287\pi\) |
0.185808 | + | 0.982586i | \(0.440510\pi\) | |||||||
\(258\) | 5.79961 | − | 10.0452i | 0.361068 | − | 0.625388i | ||||
\(259\) | −11.0978 | − | 19.2220i | −0.689586 | − | 1.19440i | ||||
\(260\) | −0.929196 | − | 5.26973i | −0.0576263 | − | 0.326815i | ||||
\(261\) | −0.593814 | − | 0.498269i | −0.0367561 | − | 0.0308421i | ||||
\(262\) | −1.28026 | + | 1.07427i | −0.0790948 | + | 0.0663684i | ||||
\(263\) | −1.64339 | + | 9.32012i | −0.101336 | + | 0.574703i | 0.891285 | + | 0.453443i | \(0.149805\pi\) |
−0.992621 | + | 0.121260i | \(0.961307\pi\) | |||||||
\(264\) | −1.57875 | + | 0.574617i | −0.0971652 | + | 0.0353652i | ||||
\(265\) | −17.1531 | −1.05371 | ||||||||
\(266\) | −8.96747 | + | 8.95471i | −0.549831 | + | 0.549048i | ||||
\(267\) | 0.882749 | 0.0540233 | ||||||||
\(268\) | 12.5072 | − | 4.55224i | 0.763998 | − | 0.278072i | ||||
\(269\) | 0.626952 | − | 3.55562i | 0.0382259 | − | 0.216790i | −0.959711 | − | 0.280988i | \(-0.909338\pi\) |
0.997937 | + | 0.0641982i | \(0.0204490\pi\) | |||||||
\(270\) | 8.18205 | − | 6.86555i | 0.497944 | − | 0.417824i | ||||
\(271\) | −5.86552 | − | 4.92176i | −0.356305 | − | 0.298976i | 0.447011 | − | 0.894529i | \(-0.352489\pi\) |
−0.803316 | + | 0.595553i | \(0.796933\pi\) | |||||||
\(272\) | 0.927147 | + | 5.25811i | 0.0562166 | + | 0.318820i | ||||
\(273\) | −6.53160 | − | 11.3131i | −0.395310 | − | 0.684698i | ||||
\(274\) | 5.34758 | − | 9.26227i | 0.323059 | − | 0.559554i | ||||
\(275\) | −0.936517 | − | 0.340864i | −0.0564741 | − | 0.0205549i | ||||
\(276\) | 4.00098 | + | 1.45624i | 0.240831 | + | 0.0876552i | ||||
\(277\) | 15.4999 | − | 26.8465i | 0.931296 | − | 1.61305i | 0.150187 | − | 0.988658i | \(-0.452013\pi\) |
0.781109 | − | 0.624394i | \(-0.214654\pi\) | |||||||
\(278\) | −1.53640 | − | 2.66112i | −0.0921471 | − | 0.159604i | ||||
\(279\) | −0.299583 | − | 1.69902i | −0.0179355 | − | 0.101718i | ||||
\(280\) | 4.45622 | + | 3.73921i | 0.266310 | + | 0.223461i | ||||
\(281\) | 3.72840 | − | 3.12850i | 0.222418 | − | 0.186631i | −0.524769 | − | 0.851245i | \(-0.675848\pi\) |
0.747187 | + | 0.664614i | \(0.231404\pi\) | |||||||
\(282\) | 3.19906 | − | 18.1427i | 0.190501 | − | 1.08038i | ||||
\(283\) | 20.1958 | − | 7.35068i | 1.20052 | − | 0.436952i | 0.337112 | − | 0.941464i | \(-0.390550\pi\) |
0.863405 | + | 0.504512i | \(0.168328\pi\) | |||||||
\(284\) | 4.52977 | 0.268793 | ||||||||
\(285\) | 8.39588 | + | 12.0088i | 0.497329 | + | 0.711337i | ||||
\(286\) | −2.67438 | −0.158140 | ||||||||
\(287\) | 17.2631 | − | 6.28326i | 1.01901 | − | 0.370889i | ||||
\(288\) | 0.0308000 | − | 0.174676i | 0.00181491 | − | 0.0102929i | ||||
\(289\) | 8.81515 | − | 7.39679i | 0.518538 | − | 0.435105i | ||||
\(290\) | −6.69858 | − | 5.62077i | −0.393354 | − | 0.330063i | ||||
\(291\) | −2.21894 | − | 12.5842i | −0.130077 | − | 0.737701i | ||||
\(292\) | −1.22901 | − | 2.12871i | −0.0719226 | − | 0.124574i | ||||
\(293\) | −2.03912 | + | 3.53186i | −0.119127 | + | 0.206333i | −0.919422 | − | 0.393273i | \(-0.871343\pi\) |
0.800295 | + | 0.599606i | \(0.204676\pi\) | |||||||
\(294\) | 2.29352 | + | 0.834775i | 0.133761 | + | 0.0486851i | ||||
\(295\) | −17.4500 | − | 6.35129i | −1.01598 | − | 0.369786i | ||||
\(296\) | −3.81715 | + | 6.61150i | −0.221867 | + | 0.384285i | ||||
\(297\) | −2.66910 | − | 4.62302i | −0.154877 | − | 0.268255i | ||||
\(298\) | 2.42688 | + | 13.7635i | 0.140586 | + | 0.797301i | ||||
\(299\) | 5.19196 | + | 4.35657i | 0.300259 | + | 0.251947i | ||||
\(300\) | −1.28266 | + | 1.07628i | −0.0740543 | + | 0.0621389i | ||||
\(301\) | −3.48555 | + | 19.7675i | −0.200904 | + | 1.13938i | ||||
\(302\) | 10.3060 | − | 3.75109i | 0.593046 | − | 0.215851i | ||||
\(303\) | 4.80846 | 0.276239 | ||||||||
\(304\) | 4.20957 | + | 1.13116i | 0.241435 | + | 0.0648767i | ||||
\(305\) | −17.2333 | −0.986775 | ||||||||
\(306\) | −0.889908 | + | 0.323900i | −0.0508727 | + | 0.0185161i | ||||
\(307\) | −2.85761 | + | 16.2063i | −0.163092 | + | 0.924943i | 0.787917 | + | 0.615781i | \(0.211160\pi\) |
−0.951010 | + | 0.309162i | \(0.899952\pi\) | |||||||
\(308\) | 2.22717 | − | 1.86882i | 0.126905 | − | 0.106486i | ||||
\(309\) | −19.3572 | − | 16.2426i | −1.10119 | − | 0.924009i | ||||
\(310\) | −3.37947 | − | 19.1660i | −0.191941 | − | 1.08855i | ||||
\(311\) | −6.94856 | − | 12.0353i | −0.394017 | − | 0.682457i | 0.598958 | − | 0.800780i | \(-0.295582\pi\) |
−0.992975 | + | 0.118323i | \(0.962248\pi\) | |||||||
\(312\) | −2.24657 | + | 3.89118i | −0.127187 | + | 0.220295i | ||||
\(313\) | 11.9536 | + | 4.35075i | 0.675657 | + | 0.245919i | 0.656981 | − | 0.753907i | \(-0.271833\pi\) |
0.0186751 | + | 0.999826i | \(0.494055\pi\) | |||||||
\(314\) | −21.0459 | − | 7.66007i | −1.18769 | − | 0.432283i | ||||
\(315\) | −0.515897 | + | 0.893561i | −0.0290675 | + | 0.0503464i | ||||
\(316\) | 5.20432 | + | 9.01415i | 0.292766 | + | 0.507086i | ||||
\(317\) | −2.08601 | − | 11.8304i | −0.117162 | − | 0.664460i | −0.985657 | − | 0.168761i | \(-0.946023\pi\) |
0.868495 | − | 0.495698i | \(-0.165088\pi\) | |||||||
\(318\) | 11.0334 | + | 9.25814i | 0.618724 | + | 0.519171i | ||||
\(319\) | −3.34787 | + | 2.80920i | −0.187445 | + | 0.157285i | ||||
\(320\) | 0.347443 | − | 1.97045i | 0.0194227 | − | 0.110151i | ||||
\(321\) | −27.4991 | + | 10.0088i | −1.53485 | + | 0.558639i | ||||
\(322\) | −7.36805 | −0.410606 | ||||||||
\(323\) | −6.00753 | − | 22.4844i | −0.334268 | − | 1.25107i | ||||
\(324\) | −8.43643 | −0.468690 | ||||||||
\(325\) | −2.50461 | + | 0.911602i | −0.138931 | + | 0.0505666i | ||||
\(326\) | 4.17776 | − | 23.6932i | 0.231385 | − | 1.31225i | ||||
\(327\) | 6.04096 | − | 5.06897i | 0.334066 | − | 0.280315i | ||||
\(328\) | −4.84048 | − | 4.06165i | −0.267271 | − | 0.224267i | ||||
\(329\) | 5.53597 | + | 31.3961i | 0.305208 | + | 1.73092i | ||||
\(330\) | −1.68078 | − | 2.91119i | −0.0925238 | − | 0.160256i | ||||
\(331\) | −2.43472 | + | 4.21706i | −0.133824 | + | 0.231790i | −0.925148 | − | 0.379607i | \(-0.876059\pi\) |
0.791323 | + | 0.611398i | \(0.209392\pi\) | |||||||
\(332\) | 6.27857 | + | 2.28521i | 0.344581 | + | 0.125417i | ||||
\(333\) | −1.27244 | − | 0.463129i | −0.0697291 | − | 0.0253793i | ||||
\(334\) | −5.81535 | + | 10.0725i | −0.318202 | + | 0.551142i | ||||
\(335\) | 13.3155 | + | 23.0631i | 0.727503 | + | 1.26007i | ||||
\(336\) | −0.848196 | − | 4.81036i | −0.0462729 | − | 0.262427i | ||||
\(337\) | 25.9012 | + | 21.7337i | 1.41093 | + | 1.18391i | 0.955995 | + | 0.293384i | \(0.0947814\pi\) |
0.454934 | + | 0.890525i | \(0.349663\pi\) | |||||||
\(338\) | 4.47958 | − | 3.75881i | 0.243657 | − | 0.204452i | ||||
\(339\) | −1.99887 | + | 11.3361i | −0.108564 | + | 0.615694i | ||||
\(340\) | −10.0387 | + | 3.65379i | −0.544425 | + | 0.198155i | ||||
\(341\) | −9.72670 | −0.526730 | ||||||||
\(342\) | −0.0679320 | + | 0.770149i | −0.00367334 | + | 0.0416449i | ||||
\(343\) | 16.1279 | 0.870823 | ||||||||
\(344\) | 6.48765 | − | 2.36131i | 0.349791 | − | 0.127313i | ||||
\(345\) | −1.47933 | + | 8.38968i | −0.0796443 | + | 0.451685i | ||||
\(346\) | −0.327317 | + | 0.274651i | −0.0175966 | + | 0.0147653i | ||||
\(347\) | 13.3037 | + | 11.1631i | 0.714181 | + | 0.599269i | 0.925769 | − | 0.378090i | \(-0.123419\pi\) |
−0.211588 | + | 0.977359i | \(0.567863\pi\) | |||||||
\(348\) | 1.27501 | + | 7.23092i | 0.0683475 | + | 0.387618i | ||||
\(349\) | −0.316102 | − | 0.547504i | −0.0169205 | − | 0.0293072i | 0.857441 | − | 0.514582i | \(-0.172053\pi\) |
−0.874362 | + | 0.485275i | \(0.838720\pi\) | |||||||
\(350\) | 1.44877 | − | 2.50934i | 0.0774399 | − | 0.134130i | ||||
\(351\) | −13.4154 | − | 4.88281i | −0.716062 | − | 0.260625i | ||||
\(352\) | −0.939693 | − | 0.342020i | −0.0500858 | − | 0.0182297i | ||||
\(353\) | −3.78480 | + | 6.55547i | −0.201445 | + | 0.348912i | −0.948994 | − | 0.315294i | \(-0.897897\pi\) |
0.747549 | + | 0.664206i | \(0.231230\pi\) | |||||||
\(354\) | 7.79639 | + | 13.5037i | 0.414373 | + | 0.717716i | ||||
\(355\) | 1.57384 | + | 8.92568i | 0.0835306 | + | 0.473726i | ||||
\(356\) | 0.402498 | + | 0.337736i | 0.0213324 | + | 0.0179000i | ||||
\(357\) | −19.9783 | + | 16.7638i | −1.05736 | + | 0.887233i | ||||
\(358\) | −4.48644 | + | 25.4439i | −0.237116 | + | 1.34475i | ||||
\(359\) | 5.91736 | − | 2.15374i | 0.312306 | − | 0.113670i | −0.181112 | − | 0.983463i | \(-0.557970\pi\) |
0.493418 | + | 0.869792i | \(0.335747\pi\) | |||||||
\(360\) | 0.354890 | 0.0187044 | ||||||||
\(361\) | −18.7066 | − | 3.32596i | −0.984559 | − | 0.175051i | ||||
\(362\) | 2.97802 | 0.156521 | ||||||||
\(363\) | −1.57875 | + | 0.574617i | −0.0828628 | + | 0.0301596i | ||||
\(364\) | 1.35018 | − | 7.65727i | 0.0707689 | − | 0.401350i | ||||
\(365\) | 3.76751 | − | 3.16131i | 0.197200 | − | 0.165471i | ||||
\(366\) | 11.0850 | + | 9.30142i | 0.579422 | + | 0.486193i | ||||
\(367\) | 3.89650 | + | 22.0982i | 0.203396 | + | 1.15351i | 0.899944 | + | 0.436005i | \(0.143607\pi\) |
−0.696549 | + | 0.717509i | \(0.745282\pi\) | |||||||
\(368\) | 1.26714 | + | 2.19475i | 0.0660541 | + | 0.114409i | ||||
\(369\) | 0.560384 | − | 0.970613i | 0.0291724 | − | 0.0505281i | ||||
\(370\) | −14.3538 | − | 5.22437i | −0.746221 | − | 0.271602i | ||||
\(371\) | −23.4215 | − | 8.52472i | −1.21598 | − | 0.442581i | ||||
\(372\) | −8.17076 | + | 14.1522i | −0.423634 | + | 0.733756i | ||||
\(373\) | 16.8652 | + | 29.2114i | 0.873248 | + | 1.51251i | 0.858617 | + | 0.512617i | \(0.171324\pi\) |
0.0146309 | + | 0.999893i | \(0.495343\pi\) | |||||||
\(374\) | 0.927147 | + | 5.25811i | 0.0479417 | + | 0.271891i | ||||
\(375\) | −15.4419 | − | 12.9573i | −0.797417 | − | 0.669112i | ||||
\(376\) | 8.39999 | − | 7.04843i | 0.433196 | − | 0.363495i | ||||
\(377\) | −2.02959 | + | 11.5104i | −0.104529 | + | 0.592816i | ||||
\(378\) | 14.5841 | − | 5.30818i | 0.750125 | − | 0.273023i | ||||
\(379\) | 26.4601 | 1.35916 | 0.679582 | − | 0.733599i | \(-0.262161\pi\) | ||||
0.679582 | + | 0.733599i | \(0.262161\pi\) | |||||||
\(380\) | −0.766314 | + | 8.68775i | −0.0393111 | + | 0.445672i | ||||
\(381\) | 18.4027 | 0.942800 | ||||||||
\(382\) | −5.92329 | + | 2.15590i | −0.303062 | + | 0.110306i | ||||
\(383\) | 5.06339 | − | 28.7159i | 0.258727 | − | 1.46732i | −0.527593 | − | 0.849497i | \(-0.676905\pi\) |
0.786321 | − | 0.617819i | \(-0.211983\pi\) | |||||||
\(384\) | −1.28701 | + | 1.07993i | −0.0656773 | + | 0.0551098i | ||||
\(385\) | 4.45622 | + | 3.73921i | 0.227110 | + | 0.190568i | ||||
\(386\) | −0.707818 | − | 4.01424i | −0.0360270 | − | 0.204319i | ||||
\(387\) | 0.612284 | + | 1.06051i | 0.0311241 | + | 0.0539086i | ||||
\(388\) | 3.80293 | − | 6.58687i | 0.193065 | − | 0.334398i | ||||
\(389\) | −35.1656 | − | 12.7992i | −1.78296 | − | 0.648946i | −0.999626 | − | 0.0273507i | \(-0.991293\pi\) |
−0.783339 | − | 0.621595i | \(-0.786485\pi\) | |||||||
\(390\) | −8.44792 | − | 3.07479i | −0.427777 | − | 0.155698i | ||||
\(391\) | 6.76554 | − | 11.7183i | 0.342148 | − | 0.592618i | ||||
\(392\) | 0.726375 | + | 1.25812i | 0.0366875 | + | 0.0635445i | ||||
\(393\) | 0.487575 | + | 2.76518i | 0.0245949 | + | 0.139485i | ||||
\(394\) | 12.3454 | + | 10.3590i | 0.621950 | + | 0.521878i | ||||
\(395\) | −15.9537 | + | 13.3867i | −0.802718 | + | 0.673560i | ||||
\(396\) | 0.0308000 | − | 0.174676i | 0.00154776 | − | 0.00877778i | ||||
\(397\) | 0.367658 | − | 0.133817i | 0.0184523 | − | 0.00671607i | −0.332778 | − | 0.943005i | \(-0.607986\pi\) |
0.351230 | + | 0.936289i | \(0.385764\pi\) | |||||||
\(398\) | 3.45546 | 0.173207 | ||||||||
\(399\) | 5.49595 | + | 20.5698i | 0.275142 | + | 1.02978i | ||||
\(400\) | −0.996621 | −0.0498310 | ||||||||
\(401\) | −5.77834 | + | 2.10314i | −0.288557 | + | 0.105026i | −0.482243 | − | 0.876037i | \(-0.660178\pi\) |
0.193686 | + | 0.981063i | \(0.437956\pi\) | |||||||
\(402\) | 3.88303 | − | 22.0218i | 0.193668 | − | 1.09835i | ||||
\(403\) | −19.9271 | + | 16.7208i | −0.992637 | + | 0.832922i | ||||
\(404\) | 2.19246 | + | 1.83970i | 0.109079 | + | 0.0915283i | ||||
\(405\) | −2.93118 | − | 16.6235i | −0.145651 | − | 0.826030i | ||||
\(406\) | −6.35308 | − | 11.0039i | −0.315298 | − | 0.546112i | ||||
\(407\) | −3.81715 | + | 6.61150i | −0.189209 | + | 0.327720i | ||||
\(408\) | 8.42930 | + | 3.06801i | 0.417312 | + | 0.151889i | ||||
\(409\) | −22.5280 | − | 8.19952i | −1.11394 | − | 0.405440i | −0.281501 | − | 0.959561i | \(-0.590832\pi\) |
−0.832436 | + | 0.554121i | \(0.813055\pi\) | |||||||
\(410\) | 6.32147 | − | 10.9491i | 0.312195 | − | 0.540738i | ||||
\(411\) | −8.98429 | − | 15.5613i | −0.443162 | − | 0.767580i | ||||
\(412\) | −2.61175 | − | 14.8120i | −0.128672 | − | 0.729733i | ||||
\(413\) | −20.6704 | − | 17.3446i | −1.01713 | − | 0.853470i | ||||
\(414\) | −0.344341 | + | 0.288936i | −0.0169234 | + | 0.0142004i | ||||
\(415\) | −2.32145 | + | 13.1656i | −0.113955 | + | 0.646273i | ||||
\(416\) | −2.51310 | + | 0.914693i | −0.123215 | + | 0.0448465i | ||||
\(417\) | −5.16251 | −0.252809 | ||||||||
\(418\) | 4.20957 | + | 1.13116i | 0.205897 | + | 0.0553271i | ||||
\(419\) | −19.6640 | −0.960648 | −0.480324 | − | 0.877091i | \(-0.659481\pi\) | ||||
−0.480324 | + | 0.877091i | \(0.659481\pi\) | |||||||
\(420\) | 9.18386 | − | 3.34265i | 0.448126 | − | 0.163105i | ||||
\(421\) | −1.46781 | + | 8.32438i | −0.0715368 | + | 0.405705i | 0.927921 | + | 0.372777i | \(0.121594\pi\) |
−0.999458 | + | 0.0329283i | \(0.989517\pi\) | |||||||
\(422\) | 5.17763 | − | 4.34454i | 0.252043 | − | 0.211489i | ||||
\(423\) | 1.48991 | + | 1.25018i | 0.0724418 | + | 0.0607859i | ||||
\(424\) | 1.48867 | + | 8.44269i | 0.0722964 | + | 0.410013i | ||||
\(425\) | 2.66059 | + | 4.60828i | 0.129058 | + | 0.223535i | ||||
\(426\) | 3.80516 | − | 6.59074i | 0.184361 | − | 0.319322i | ||||
\(427\) | −23.5310 | − | 8.56457i | −1.13874 | − | 0.414468i | ||||
\(428\) | −16.3678 | − | 5.95740i | −0.791168 | − | 0.287962i | ||||
\(429\) | −2.24657 | + | 3.89118i | −0.108466 | + | 0.187868i | ||||
\(430\) | 6.90693 | + | 11.9632i | 0.333082 | + | 0.576915i | ||||
\(431\) | 6.66403 | + | 37.7936i | 0.320995 | + | 1.82045i | 0.536440 | + | 0.843938i | \(0.319769\pi\) |
−0.215445 | + | 0.976516i | \(0.569120\pi\) | |||||||
\(432\) | −4.08930 | − | 3.43133i | −0.196746 | − | 0.165090i | ||||
\(433\) | 7.29311 | − | 6.11965i | 0.350484 | − | 0.294091i | −0.450500 | − | 0.892776i | \(-0.648754\pi\) |
0.800985 | + | 0.598685i | \(0.204310\pi\) | |||||||
\(434\) | 4.91060 | − | 27.8494i | 0.235716 | − | 1.33681i | ||||
\(435\) | −13.8052 | + | 5.02467i | −0.661907 | + | 0.240914i | ||||
\(436\) | 4.69381 | 0.224792 | ||||||||
\(437\) | −6.32965 | − | 9.05339i | −0.302788 | − | 0.433083i | ||||
\(438\) | −4.12966 | −0.197323 | ||||||||
\(439\) | 12.1363 | − | 4.41726i | 0.579235 | − | 0.210824i | −0.0357534 | − | 0.999361i | \(-0.511383\pi\) |
0.614988 | + | 0.788536i | \(0.289161\pi\) | |||||||
\(440\) | 0.347443 | − | 1.97045i | 0.0165637 | − | 0.0939374i | ||||
\(441\) | −0.197390 | + | 0.165630i | −0.00939953 | + | 0.00788715i | ||||
\(442\) | 10.9385 | + | 9.17846i | 0.520289 | + | 0.436575i | ||||
\(443\) | 4.05580 | + | 23.0016i | 0.192697 | + | 1.09284i | 0.915660 | + | 0.401953i | \(0.131668\pi\) |
−0.722963 | + | 0.690886i | \(0.757221\pi\) | |||||||
\(444\) | 6.41307 | + | 11.1078i | 0.304351 | + | 0.527151i | ||||
\(445\) | −0.525646 | + | 0.910446i | −0.0249180 | + | 0.0431593i | ||||
\(446\) | −3.53167 | − | 1.28542i | −0.167229 | − | 0.0608665i | ||||
\(447\) | 22.0644 | + | 8.03077i | 1.04361 | + | 0.379843i | ||||
\(448\) | 1.45368 | − | 2.51785i | 0.0686800 | − | 0.118957i | ||||
\(449\) | 7.88451 | + | 13.6564i | 0.372093 | + | 0.644484i | 0.989887 | − | 0.141856i | \(-0.0453068\pi\) |
−0.617794 | + | 0.786340i | \(0.711974\pi\) | |||||||
\(450\) | −0.0306960 | − | 0.174085i | −0.00144702 | − | 0.00820647i | ||||
\(451\) | −4.84048 | − | 4.06165i | −0.227929 | − | 0.191255i | ||||
\(452\) | −5.24857 | + | 4.40407i | −0.246872 | + | 0.207150i | ||||
\(453\) | 3.19966 | − | 18.1461i | 0.150333 | − | 0.852580i | ||||
\(454\) | −5.84046 | + | 2.12575i | −0.274106 | + | 0.0997666i | ||||
\(455\) | 15.5574 | 0.729340 | ||||||||
\(456\) | 5.18200 | − | 5.17463i | 0.242670 | − | 0.242324i | ||||
\(457\) | −18.8267 | −0.880677 | −0.440338 | − | 0.897832i | \(-0.645142\pi\) | ||||
−0.440338 | + | 0.897832i | \(0.645142\pi\) | |||||||
\(458\) | 1.83364 | − | 0.667389i | 0.0856802 | − | 0.0311851i | ||||
\(459\) | −4.94930 | + | 28.0689i | −0.231013 | + | 1.31014i | ||||
\(460\) | −3.88437 | + | 3.25938i | −0.181110 | + | 0.151969i | ||||
\(461\) | −21.9841 | − | 18.4469i | −1.02390 | − | 0.859157i | −0.0337903 | − | 0.999429i | \(-0.510758\pi\) |
−0.990113 | + | 0.140272i | \(0.955202\pi\) | |||||||
\(462\) | −0.848196 | − | 4.81036i | −0.0394616 | − | 0.223798i | ||||
\(463\) | −15.2904 | − | 26.4838i | −0.710605 | − | 1.23080i | −0.964630 | − | 0.263607i | \(-0.915088\pi\) |
0.254025 | − | 0.967198i | \(-0.418245\pi\) | |||||||
\(464\) | −2.18517 | + | 3.78483i | −0.101444 | + | 0.175706i | ||||
\(465\) | −30.7250 | − | 11.1830i | −1.42484 | − | 0.518598i | ||||
\(466\) | −7.91965 | − | 2.88252i | −0.366871 | − | 0.133530i | ||||
\(467\) | 17.7529 | − | 30.7489i | 0.821505 | − | 1.42289i | −0.0830570 | − | 0.996545i | \(-0.526468\pi\) |
0.904562 | − | 0.426343i | \(-0.140198\pi\) | |||||||
\(468\) | −0.237178 | − | 0.410805i | −0.0109636 | − | 0.0189894i | ||||
\(469\) | 6.71959 | + | 38.1087i | 0.310282 | + | 1.75970i | ||||
\(470\) | 16.8071 | + | 14.1028i | 0.775252 | + | 0.650514i | ||||
\(471\) | −28.8245 | + | 24.1866i | −1.32816 | + | 1.11446i | ||||
\(472\) | −1.61164 | + | 9.14004i | −0.0741815 | + | 0.420704i | ||||
\(473\) | 6.48765 | − | 2.36131i | 0.298303 | − | 0.108573i | ||||
\(474\) | 17.4872 | 0.803215 | ||||||||
\(475\) | 4.32791 | − | 0.375537i | 0.198578 | − | 0.0172308i | ||||
\(476\) | −15.5231 | −0.711499 | ||||||||
\(477\) | −1.42888 | + | 0.520070i | −0.0654240 | + | 0.0238124i | ||||
\(478\) | 0.559809 | − | 3.17483i | 0.0256051 | − | 0.145213i | ||||
\(479\) | 0.119976 | − | 0.100672i | 0.00548183 | − | 0.00459981i | −0.640043 | − | 0.768339i | \(-0.721083\pi\) |
0.645524 | + | 0.763740i | \(0.276639\pi\) | |||||||
\(480\) | −2.57510 | − | 2.16077i | −0.117537 | − | 0.0986250i | ||||
\(481\) | 3.54538 | + | 20.1069i | 0.161656 | + | 0.916794i | ||||
\(482\) | −8.27130 | − | 14.3263i | −0.376748 | − | 0.652546i | ||||
\(483\) | −6.18942 | + | 10.7204i | −0.281628 | + | 0.487794i | ||||
\(484\) | −0.939693 | − | 0.342020i | −0.0427133 | − | 0.0155464i | ||||
\(485\) | 14.3004 | + | 5.20491i | 0.649347 | + | 0.236343i | ||||
\(486\) | 0.920411 | − | 1.59420i | 0.0417507 | − | 0.0723143i | ||||
\(487\) | −3.78737 | − | 6.55993i | −0.171622 | − | 0.297259i | 0.767365 | − | 0.641211i | \(-0.221568\pi\) |
−0.938987 | + | 0.343952i | \(0.888234\pi\) | |||||||
\(488\) | 1.49563 | + | 8.48215i | 0.0677041 | + | 0.383969i | ||||
\(489\) | −30.9638 | − | 25.9817i | −1.40023 | − | 1.17493i | ||||
\(490\) | −2.22668 | + | 1.86841i | −0.100591 | + | 0.0844060i | ||||
\(491\) | 2.26562 | − | 12.8490i | 0.102246 | − | 0.579866i | −0.890039 | − | 0.455885i | \(-0.849323\pi\) |
0.992285 | − | 0.123981i | \(-0.0395662\pi\) | |||||||
\(492\) | −9.97579 | + | 3.63089i | −0.449743 | + | 0.163693i | ||||
\(493\) | 23.3342 | 1.05092 | ||||||||
\(494\) | 10.5687 | − | 4.91909i | 0.475507 | − | 0.221320i | ||||
\(495\) | 0.354890 | 0.0159511 | ||||||||
\(496\) | −9.14011 | + | 3.32673i | −0.410403 | + | 0.149374i | ||||
\(497\) | −2.28689 | + | 12.9696i | −0.102581 | + | 0.581766i | ||||
\(498\) | 8.59916 | − | 7.21555i | 0.385338 | − | 0.323337i | ||||
\(499\) | −2.68247 | − | 2.25086i | −0.120084 | − | 0.100762i | 0.580768 | − | 0.814069i | \(-0.302752\pi\) |
−0.700852 | + | 0.713307i | \(0.747197\pi\) | |||||||
\(500\) | −2.08348 | − | 11.8160i | −0.0931762 | − | 0.528429i | ||||
\(501\) | 9.77019 | + | 16.9225i | 0.436500 | + | 0.756040i | ||||
\(502\) | −11.5120 | + | 19.9395i | −0.513808 | + | 0.889941i | ||||
\(503\) | −2.43970 | − | 0.887979i | −0.108781 | − | 0.0395930i | 0.287056 | − | 0.957914i | \(-0.407323\pi\) |
−0.395837 | + | 0.918321i | \(0.629546\pi\) | |||||||
\(504\) | 0.484580 | + | 0.176373i | 0.0215849 | + | 0.00785627i | ||||
\(505\) | −2.86327 | + | 4.95933i | −0.127414 | + | 0.220687i | ||||
\(506\) | 1.26714 | + | 2.19475i | 0.0563311 | + | 0.0975684i | ||||
\(507\) | −1.70601 | − | 9.67524i | −0.0757663 | − | 0.429692i | ||||
\(508\) | 8.39091 | + | 7.04081i | 0.372286 | + | 0.312385i | ||||
\(509\) | 3.09688 | − | 2.59859i | 0.137267 | − | 0.115181i | −0.571569 | − | 0.820554i | \(-0.693665\pi\) |
0.708836 | + | 0.705373i | \(0.249221\pi\) | |||||||
\(510\) | −3.11666 | + | 17.6754i | −0.138008 | + | 0.782682i | ||||
\(511\) | 6.71540 | − | 2.44420i | 0.297072 | − | 0.108125i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 19.0511 | + | 13.3599i | 0.841125 | + | 0.589855i | ||||
\(514\) | 16.3732 | 0.722192 | ||||||||
\(515\) | 28.2787 | − | 10.2926i | 1.24611 | − | 0.453547i | ||||
\(516\) | 2.01418 | − | 11.4230i | 0.0886695 | − | 0.502870i | ||||
\(517\) | 8.39999 | − | 7.04843i | 0.369431 | − | 0.309989i | ||||
\(518\) | −17.0029 | − | 14.2671i | −0.747063 | − | 0.626860i | ||||
\(519\) | 0.124655 | + | 0.706956i | 0.00547177 | + | 0.0310319i | ||||
\(520\) | −2.67551 | − | 4.63412i | −0.117329 | − | 0.203220i | ||||
\(521\) | −3.45612 | + | 5.98618i | −0.151416 | + | 0.262259i | −0.931748 | − | 0.363105i | \(-0.881716\pi\) |
0.780333 | + | 0.625365i | \(0.215050\pi\) | |||||||
\(522\) | −0.728420 | − | 0.265123i | −0.0318821 | − | 0.0116041i | ||||
\(523\) | −2.32630 | − | 0.846706i | −0.101722 | − | 0.0370239i | 0.290658 | − | 0.956827i | \(-0.406126\pi\) |
−0.392380 | + | 0.919803i | \(0.628348\pi\) | |||||||
\(524\) | −0.835631 | + | 1.44736i | −0.0365047 | + | 0.0632280i | ||||
\(525\) | −2.43403 | − | 4.21586i | −0.106230 | − | 0.183995i | ||||
\(526\) | 1.64339 | + | 9.32012i | 0.0716551 | + | 0.406376i | ||||
\(527\) | 39.7830 | + | 33.3819i | 1.73298 | + | 1.45414i | ||||
\(528\) | −1.28701 | + | 1.07993i | −0.0560098 | + | 0.0469978i | ||||
\(529\) | −2.87864 | + | 16.3256i | −0.125158 | + | 0.709809i | ||||
\(530\) | −16.1186 | + | 5.86671i | −0.700149 | + | 0.254834i | ||||
\(531\) | −1.64618 | −0.0714382 | ||||||||
\(532\) | −5.36397 | + | 11.4817i | −0.232558 | + | 0.497796i | ||||
\(533\) | −16.8989 | −0.731972 | ||||||||
\(534\) | 0.829512 | − | 0.301918i | 0.0358965 | − | 0.0130653i | ||||
\(535\) | 6.05186 | − | 34.3218i | 0.261645 | − | 1.48386i | ||||
\(536\) | 10.1959 | − | 8.55542i | 0.440398 | − | 0.369538i | ||||
\(537\) | 33.2516 | + | 27.9014i | 1.43491 | + | 1.20404i | ||||
\(538\) | −0.626952 | − | 3.55562i | −0.0270298 | − | 0.153294i | ||||
\(539\) | 0.726375 | + | 1.25812i | 0.0312872 | + | 0.0541910i | ||||
\(540\) | 5.34045 | − | 9.24994i | 0.229817 | − | 0.398054i | ||||
\(541\) | 11.6605 | + | 4.24406i | 0.501322 | + | 0.182466i | 0.580289 | − | 0.814411i | \(-0.302940\pi\) |
−0.0789664 | + | 0.996877i | \(0.525162\pi\) | |||||||
\(542\) | −7.19513 | − | 2.61881i | −0.309057 | − | 0.112488i | ||||
\(543\) | 2.50164 | − | 4.33297i | 0.107356 | − | 0.185945i | ||||
\(544\) | 2.66961 | + | 4.62391i | 0.114459 | + | 0.198248i | ||||
\(545\) | 1.63083 | + | 9.24890i | 0.0698571 | + | 0.396179i | ||||
\(546\) | −10.0070 | − | 8.39686i | −0.428260 | − | 0.359353i | ||||
\(547\) | −11.6595 | + | 9.78351i | −0.498525 | + | 0.418313i | −0.857070 | − | 0.515200i | \(-0.827718\pi\) |
0.358544 | + | 0.933513i | \(0.383273\pi\) | |||||||
\(548\) | 1.85719 | − | 10.5327i | 0.0793354 | − | 0.449933i | ||||
\(549\) | −1.43556 | + | 0.522501i | −0.0612682 | + | 0.0222998i | ||||
\(550\) | −0.996621 | −0.0424961 | ||||||||
\(551\) | 8.06312 | − | 17.2593i | 0.343500 | − | 0.735271i | ||||
\(552\) | 4.25775 | 0.181222 | ||||||||
\(553\) | −28.4367 | + | 10.3501i | −1.20925 | + | 0.440131i | ||||
\(554\) | 5.38304 | − | 30.5288i | 0.228704 | − | 1.29704i | ||||
\(555\) | −19.6591 | + | 16.4959i | −0.834482 | + | 0.700214i | ||||
\(556\) | −2.35390 | − | 1.97516i | −0.0998276 | − | 0.0837653i | ||||
\(557\) | 1.77831 | + | 10.0853i | 0.0753494 | + | 0.427327i | 0.999025 | + | 0.0441518i | \(0.0140585\pi\) |
−0.923675 | + | 0.383176i | \(0.874830\pi\) | |||||||
\(558\) | −0.862614 | − | 1.49409i | −0.0365174 | − | 0.0632499i | ||||
\(559\) | 9.23199 | − | 15.9903i | 0.390472 | − | 0.676317i | ||||
\(560\) | 5.46636 | + | 1.98959i | 0.230996 | + | 0.0840756i | ||||
\(561\) | 8.42930 | + | 3.06801i | 0.355885 | + | 0.129532i | ||||
\(562\) | 2.43354 | − | 4.21502i | 0.102653 | − | 0.177800i | ||||
\(563\) | −22.8848 | − | 39.6376i | −0.964478 | − | 1.67052i | −0.711011 | − | 0.703180i | \(-0.751763\pi\) |
−0.253466 | − | 0.967344i | \(-0.581571\pi\) | |||||||
\(564\) | −3.19906 | − | 18.1427i | −0.134705 | − | 0.763947i | ||||
\(565\) | −10.5016 | − | 8.81186i | −0.441804 | − | 0.370718i | ||||
\(566\) | 16.4638 | − | 13.8148i | 0.692025 | − | 0.580678i | ||||
\(567\) | 4.25920 | − | 24.1551i | 0.178870 | − | 1.01442i | ||||
\(568\) | 4.25659 | − | 1.54927i | 0.178603 | − | 0.0650061i | ||||
\(569\) | −15.8811 | −0.665771 | −0.332886 | − | 0.942967i | \(-0.608022\pi\) | ||||
−0.332886 | + | 0.942967i | \(0.608022\pi\) | |||||||
\(570\) | 11.9968 | + | 8.41298i | 0.502490 | + | 0.352381i | ||||
\(571\) | 3.10895 | 0.130106 | 0.0650528 | − | 0.997882i | \(-0.479278\pi\) | ||||
0.0650528 | + | 0.997882i | \(0.479278\pi\) | |||||||
\(572\) | −2.51310 | + | 0.914693i | −0.105078 | + | 0.0382452i | ||||
\(573\) | −1.83897 | + | 10.4293i | −0.0768241 | + | 0.435691i | ||||
\(574\) | 14.0730 | − | 11.8087i | 0.587397 | − | 0.492884i | ||||
\(575\) | 1.93481 | + | 1.62350i | 0.0806870 | + | 0.0677045i | ||||
\(576\) | −0.0308000 | − | 0.174676i | −0.00128333 | − | 0.00727815i | ||||
\(577\) | 5.48624 | + | 9.50245i | 0.228395 | + | 0.395592i | 0.957333 | − | 0.288988i | \(-0.0933189\pi\) |
−0.728938 | + | 0.684580i | \(0.759986\pi\) | |||||||
\(578\) | 5.75368 | − | 9.96567i | 0.239322 | − | 0.414517i | ||||
\(579\) | −6.43523 | − | 2.34223i | −0.267439 | − | 0.0973399i | ||||
\(580\) | −8.21702 | − | 2.99075i | −0.341193 | − | 0.124184i | ||||
\(581\) | −9.71279 | + | 16.8231i | −0.402955 | + | 0.697938i | ||||
\(582\) | −6.38918 | − | 11.0664i | −0.264840 | − | 0.458717i | ||||
\(583\) | 1.48867 | + | 8.44269i | 0.0616546 | + | 0.349661i | ||||
\(584\) | −1.88296 | − | 1.57999i | −0.0779174 | − | 0.0653805i | ||||
\(585\) | 0.727063 | − | 0.610078i | 0.0300603 | − | 0.0252236i | ||||
\(586\) | −0.708179 | + | 4.01628i | −0.0292546 | + | 0.165911i | ||||
\(587\) | 7.45802 | − | 2.71450i | 0.307825 | − | 0.112039i | −0.183489 | − | 0.983022i | \(-0.558739\pi\) |
0.491314 | + | 0.870983i | \(0.336517\pi\) | |||||||
\(588\) | 2.44072 | 0.100654 | ||||||||
\(589\) | 38.4381 | − | 17.8907i | 1.58382 | − | 0.737172i | ||||
\(590\) | −18.5699 | −0.764511 | ||||||||
\(591\) | 25.4427 | − | 9.26037i | 1.04657 | − | 0.380921i | ||||
\(592\) | −1.32568 | + | 7.51832i | −0.0544852 | + | 0.309001i | ||||
\(593\) | 9.11342 | − | 7.64706i | 0.374243 | − | 0.314027i | −0.436194 | − | 0.899853i | \(-0.643674\pi\) |
0.810437 | + | 0.585825i | \(0.199230\pi\) | |||||||
\(594\) | −4.08930 | − | 3.43133i | −0.167786 | − | 0.140789i | ||||
\(595\) | −5.39338 | − | 30.5874i | −0.221107 | − | 1.25396i | ||||
\(596\) | 6.98793 | + | 12.1035i | 0.286237 | + | 0.495777i | ||||
\(597\) | 2.90271 | − | 5.02763i | 0.118800 | − | 0.205767i | ||||
\(598\) | 6.36888 | + | 2.31808i | 0.260443 | + | 0.0947935i | ||||
\(599\) | 31.0716 | + | 11.3091i | 1.26955 | + | 0.462079i | 0.886963 | − | 0.461841i | \(-0.152811\pi\) |
0.382587 | + | 0.923919i | \(0.375033\pi\) | |||||||
\(600\) | −0.837196 | + | 1.45007i | −0.0341784 | + | 0.0591987i | ||||
\(601\) | −20.5545 | − | 35.6014i | −0.838434 | − | 1.45221i | −0.891204 | − | 0.453603i | \(-0.850138\pi\) |
0.0527704 | − | 0.998607i | \(-0.483195\pi\) | |||||||
\(602\) | 3.48555 | + | 19.7675i | 0.142060 | + | 0.805664i | ||||
\(603\) | 1.80846 | + | 1.51748i | 0.0736461 | + | 0.0617964i | ||||
\(604\) | 8.40156 | − | 7.04975i | 0.341855 | − | 0.286850i | ||||
\(605\) | 0.347443 | − | 1.97045i | 0.0141256 | − | 0.0801101i | ||||
\(606\) | 4.51847 | − | 1.64459i | 0.183550 | − | 0.0668068i | ||||
\(607\) | 16.8657 | 0.684558 | 0.342279 | − | 0.939598i | \(-0.388801\pi\) | ||||
0.342279 | + | 0.939598i | \(0.388801\pi\) | |||||||
\(608\) | 4.34258 | − | 0.376811i | 0.176115 | − | 0.0152817i | ||||
\(609\) | −21.3472 | −0.865033 | ||||||||
\(610\) | −16.1940 | + | 5.89413i | −0.655675 | + | 0.238646i | ||||
\(611\) | 5.09235 | − | 28.8802i | 0.206015 | − | 1.16837i | ||||
\(612\) | −0.725460 | + | 0.608733i | −0.0293250 | + | 0.0246066i | ||||
\(613\) | −4.23633 | − | 3.55470i | −0.171104 | − | 0.143573i | 0.553215 | − | 0.833039i | \(-0.313401\pi\) |
−0.724318 | + | 0.689466i | \(0.757845\pi\) | |||||||
\(614\) | 2.85761 | + | 16.2063i | 0.115324 | + | 0.654033i | ||||
\(615\) | −10.6205 | − | 18.3952i | −0.428260 | − | 0.741768i | ||||
\(616\) | 1.45368 | − | 2.51785i | 0.0585705 | − | 0.101447i | ||||
\(617\) | 22.4555 | + | 8.17313i | 0.904024 | + | 0.329038i | 0.751864 | − | 0.659318i | \(-0.229155\pi\) |
0.152160 | + | 0.988356i | \(0.451377\pi\) | |||||||
\(618\) | −23.7451 | − | 8.64251i | −0.955168 | − | 0.347653i | ||||
\(619\) | 24.2140 | − | 41.9399i | 0.973244 | − | 1.68571i | 0.287630 | − | 0.957742i | \(-0.407133\pi\) |
0.685613 | − | 0.727966i | \(-0.259534\pi\) | |||||||
\(620\) | −9.73081 | − | 16.8543i | −0.390799 | − | 0.676883i | ||||
\(621\) | 2.34919 | + | 13.3229i | 0.0942699 | + | 0.534631i | ||||
\(622\) | −10.6458 | − | 8.93290i | −0.426858 | − | 0.358177i | ||||
\(623\) | −1.17021 | + | 0.981921i | −0.0468834 | + | 0.0393398i | ||||
\(624\) | −0.780227 | + | 4.42489i | −0.0312341 | + | 0.177137i | ||||
\(625\) | 17.8764 | − | 6.50647i | 0.715055 | − | 0.260259i | ||||
\(626\) | 12.7207 | 0.508423 | ||||||||
\(627\) | 5.18200 | − | 5.17463i | 0.206949 | − | 0.206655i | ||||
\(628\) | −22.3965 | −0.893719 | ||||||||
\(629\) | 38.3031 | − | 13.9412i | 1.52724 | − | 0.555871i | ||||
\(630\) | −0.179169 | + | 1.01612i | −0.00713828 | + | 0.0404832i | ||||
\(631\) | −0.446914 | + | 0.375005i | −0.0177914 | + | 0.0149287i | −0.651640 | − | 0.758528i | \(-0.725919\pi\) |
0.633849 | + | 0.773457i | \(0.281474\pi\) | |||||||
\(632\) | 7.97348 | + | 6.69055i | 0.317168 | + | 0.266136i | ||||
\(633\) | −1.97185 | − | 11.1829i | −0.0783740 | − | 0.444481i | ||||
\(634\) | −6.00643 | − | 10.4035i | −0.238546 | − | 0.413174i | ||||
\(635\) | −10.9582 | + | 18.9801i | −0.434862 | + | 0.753203i | ||||
\(636\) | 13.5345 | + | 4.92615i | 0.536678 | + | 0.195335i | ||||
\(637\) | 3.65090 | + | 1.32882i | 0.144654 | + | 0.0526498i | ||||
\(638\) | −2.18517 | + | 3.78483i | −0.0865117 | + | 0.149843i | ||||
\(639\) | 0.401724 | + | 0.695806i | 0.0158919 | + | 0.0275257i | ||||
\(640\) | −0.347443 | − | 1.97045i | −0.0137339 | − | 0.0778888i | ||||
\(641\) | 20.7878 | + | 17.4430i | 0.821069 | + | 0.688958i | 0.953222 | − | 0.302271i | \(-0.0977447\pi\) |
−0.132153 | + | 0.991229i | \(0.542189\pi\) | |||||||
\(642\) | −22.4174 | + | 18.8105i | −0.884746 | + | 0.742390i | ||||
\(643\) | 5.59812 | − | 31.7485i | 0.220768 | − | 1.25204i | −0.649844 | − | 0.760068i | \(-0.725166\pi\) |
0.870612 | − | 0.491971i | \(-0.163723\pi\) | |||||||
\(644\) | −6.92370 | + | 2.52002i | −0.272832 | + | 0.0993028i | ||||
\(645\) | 23.2082 | 0.913823 | ||||||||
\(646\) | −13.3354 | − | 19.0738i | −0.524673 | − | 0.750447i | ||||
\(647\) | 33.2829 | 1.30848 | 0.654242 | − | 0.756285i | \(-0.272988\pi\) | ||||
0.654242 | + | 0.756285i | \(0.272988\pi\) | |||||||
\(648\) | −7.92765 | + | 2.88543i | −0.311427 | + | 0.113350i | ||||
\(649\) | −1.61164 | + | 9.14004i | −0.0632622 | + | 0.358778i | ||||
\(650\) | −2.04177 | + | 1.71325i | −0.0800850 | + | 0.0671993i | ||||
\(651\) | −36.3953 | − | 30.5393i | −1.42644 | − | 1.19693i | ||||
\(652\) | −4.17776 | − | 23.6932i | −0.163614 | − | 0.927899i | ||||
\(653\) | 1.62201 | + | 2.80940i | 0.0634741 | + | 0.109940i | 0.896016 | − | 0.444022i | \(-0.146449\pi\) |
−0.832542 | + | 0.553962i | \(0.813115\pi\) | |||||||
\(654\) | 3.94296 | − | 6.82940i | 0.154182 | − | 0.267051i | ||||
\(655\) | −3.14227 | − | 1.14369i | −0.122779 | − | 0.0446878i | ||||
\(656\) | −5.93773 | − | 2.16116i | −0.231829 | − | 0.0843790i | ||||
\(657\) | 0.217991 | − | 0.377571i | 0.00850463 | − | 0.0147304i | ||||
\(658\) | 15.9402 | + | 27.6092i | 0.621414 | + | 1.07632i | ||||
\(659\) | −6.32658 | − | 35.8798i | −0.246449 | − | 1.39768i | −0.817104 | − | 0.576490i | \(-0.804422\pi\) |
0.570655 | − | 0.821190i | \(-0.306689\pi\) | |||||||
\(660\) | −2.57510 | − | 2.16077i | −0.100236 | − | 0.0841077i | ||||
\(661\) | −18.6006 | + | 15.6078i | −0.723481 | + | 0.607073i | −0.928346 | − | 0.371718i | \(-0.878769\pi\) |
0.204865 | + | 0.978790i | \(0.434325\pi\) | |||||||
\(662\) | −0.845569 | + | 4.79546i | −0.0328640 | + | 0.186381i | ||||
\(663\) | 22.5432 | − | 8.20504i | 0.875504 | − | 0.318657i | ||||
\(664\) | 6.68152 | 0.259293 | ||||||||
\(665\) | −24.4878 | − | 6.58018i | −0.949597 | − | 0.255169i | ||||
\(666\) | −1.35410 | −0.0524702 | ||||||||
\(667\) | 10.4077 | − | 3.78809i | 0.402988 | − | 0.146676i | ||||
\(668\) | −2.01965 | + | 11.4540i | −0.0781427 | + | 0.443169i | ||||
\(669\) | −4.83698 | + | 4.05871i | −0.187009 | + | 0.156919i | ||||
\(670\) | 20.4005 | + | 17.1181i | 0.788140 | + | 0.661328i | ||||
\(671\) | 1.49563 | + | 8.48215i | 0.0577383 | + | 0.327450i | ||||
\(672\) | −2.44228 | − | 4.23016i | −0.0942131 | − | 0.163182i | ||||
\(673\) | 9.19132 | − | 15.9198i | 0.354299 | − | 0.613664i | −0.632699 | − | 0.774398i | \(-0.718053\pi\) |
0.986998 | + | 0.160734i | \(0.0513861\pi\) | |||||||
\(674\) | 31.7725 | + | 11.5643i | 1.22383 | + | 0.445438i | ||||
\(675\) | −4.99932 | − | 1.81960i | −0.192424 | − | 0.0700365i | ||||
\(676\) | 2.92384 | − | 5.06423i | 0.112455 | − | 0.194778i | ||||
\(677\) | 4.56600 | + | 7.90855i | 0.175486 | + | 0.303950i | 0.940329 | − | 0.340266i | \(-0.110517\pi\) |
−0.764844 | + | 0.644216i | \(0.777184\pi\) | |||||||
\(678\) | 1.99887 | + | 11.3361i | 0.0767660 | + | 0.435362i | ||||
\(679\) | 16.9395 | + | 14.2140i | 0.650080 | + | 0.545482i | ||||
\(680\) | −8.18363 | + | 6.86688i | −0.313828 | + | 0.263333i | ||||
\(681\) | −1.81325 | + | 10.2835i | −0.0694840 | + | 0.394063i | ||||
\(682\) | −9.14011 | + | 3.32673i | −0.349993 | + | 0.127387i | ||||
\(683\) | −28.0940 | −1.07499 | −0.537494 | − | 0.843267i | \(-0.680629\pi\) | ||||
−0.537494 | + | 0.843267i | \(0.680629\pi\) | |||||||
\(684\) | 0.199571 | + | 0.746938i | 0.00763080 | + | 0.0285599i | ||||
\(685\) | 21.3993 | 0.817627 | ||||||||
\(686\) | 15.1552 | − | 5.51605i | 0.578629 | − | 0.210604i | ||||
\(687\) | 0.569278 | − | 3.22854i | 0.0217193 | − | 0.123176i | ||||
\(688\) | 5.28878 | − | 4.43782i | 0.201633 | − | 0.169190i | ||||
\(689\) | 17.5633 | + | 14.7374i | 0.669110 | + | 0.561450i | ||||
\(690\) | 1.47933 | + | 8.38968i | 0.0563170 | + | 0.319390i | ||||
\(691\) | −18.5435 | − | 32.1183i | −0.705428 | − | 1.22184i | −0.966537 | − | 0.256528i | \(-0.917421\pi\) |
0.261109 | − | 0.965309i | \(-0.415912\pi\) | |||||||
\(692\) | −0.213641 | + | 0.370037i | −0.00812140 | + | 0.0140667i | ||||
\(693\) | 0.484580 | + | 0.176373i | 0.0184077 | + | 0.00669985i | ||||
\(694\) | 16.3194 | + | 5.93978i | 0.619477 | + | 0.225471i | ||||
\(695\) | 3.07410 | − | 5.32449i | 0.116607 | − | 0.201969i | ||||
\(696\) | 3.67124 | + | 6.35877i | 0.139158 | + | 0.241028i | ||||
\(697\) | 5.85846 | + | 33.2250i | 0.221905 | + | 1.25849i | ||||
\(698\) | −0.484296 | − | 0.406372i | −0.0183309 | − | 0.0153814i | ||||
\(699\) | −10.8468 | + | 9.10154i | −0.410263 | + | 0.344252i | ||||
\(700\) | 0.503152 | − | 2.85352i | 0.0190174 | − | 0.107853i | ||||
\(701\) | −14.0835 | + | 5.12596i | −0.531925 | + | 0.193605i | −0.593998 | − | 0.804467i | \(-0.702451\pi\) |
0.0620725 | + | 0.998072i | \(0.480229\pi\) | |||||||
\(702\) | −14.2764 | −0.538828 | ||||||||
\(703\) | 2.92390 | − | 33.1484i | 0.110277 | − | 1.25022i | ||||
\(704\) | −1.00000 | −0.0376889 | ||||||||
\(705\) | 34.6378 | − | 12.6071i | 1.30454 | − | 0.474812i | ||||
\(706\) | −1.31445 | + | 7.45461i | −0.0494699 | + | 0.280558i | ||||
\(707\) | −6.37429 | + | 5.34866i | −0.239730 | + | 0.201157i | ||||
\(708\) | 11.9448 | + | 10.0228i | 0.448912 | + | 0.376682i | ||||
\(709\) | 6.30388 | + | 35.7511i | 0.236747 | + | 1.34266i | 0.838903 | + | 0.544281i | \(0.183198\pi\) |
−0.602156 | + | 0.798379i | \(0.705691\pi\) | |||||||
\(710\) | 4.53169 | + | 7.84911i | 0.170071 | + | 0.294572i | ||||
\(711\) | −0.923092 | + | 1.59884i | −0.0346187 | + | 0.0599613i | ||||
\(712\) | 0.493737 | + | 0.179706i | 0.0185036 | + | 0.00673476i | ||||
\(713\) | 23.1635 | + | 8.43084i | 0.867482 | + | 0.315738i | ||||
\(714\) | −13.0399 | + | 22.5858i | −0.488006 | + | 0.845252i | ||||
\(715\) | −2.67551 | − | 4.63412i | −0.100059 | − | 0.173306i | ||||
\(716\) | 4.48644 | + | 25.4439i | 0.167666 | + | 0.950882i | ||||
\(717\) | −4.14907 | − | 3.48148i | −0.154950 | − | 0.130018i | ||||
\(718\) | 4.82387 | − | 4.04771i | 0.180025 | − | 0.151059i | ||||
\(719\) | −4.73183 | + | 26.8356i | −0.176468 | + | 1.00080i | 0.759969 | + | 0.649960i | \(0.225214\pi\) |
−0.936436 | + | 0.350838i | \(0.885897\pi\) | |||||||
\(720\) | 0.333488 | − | 0.121380i | 0.0124284 | − | 0.00452355i | ||||
\(721\) | 43.7280 | 1.62852 | ||||||||
\(722\) | −18.7160 | + | 3.27266i | −0.696538 | + | 0.121796i | ||||
\(723\) | −27.7927 | −1.03362 | ||||||||
\(724\) | 2.79843 | − | 1.01854i | 0.104003 | − | 0.0378539i | ||||
\(725\) | −0.756337 | + | 4.28940i | −0.0280897 | + | 0.159304i | ||||
\(726\) | −1.28701 | + | 1.07993i | −0.0477653 | + | 0.0400799i | ||||
\(727\) | 29.3619 | + | 24.6376i | 1.08897 | + | 0.913757i | 0.996635 | − | 0.0819704i | \(-0.0261213\pi\) |
0.0923388 | + | 0.995728i | \(0.470566\pi\) | |||||||
\(728\) | −1.35018 | − | 7.65727i | −0.0500411 | − | 0.283797i | ||||
\(729\) | −14.2010 | − | 24.5968i | −0.525963 | − | 0.910994i | ||||
\(730\) | 2.45907 | − | 4.25923i | 0.0910141 | − | 0.157641i | ||||
\(731\) | −34.6391 | − | 12.6076i | −1.28117 | − | 0.466308i | ||||
\(732\) | 13.5978 | + | 4.94918i | 0.502588 | + | 0.182927i | ||||
\(733\) | −13.8268 | + | 23.9487i | −0.510704 | + | 0.884566i | 0.489219 | + | 0.872161i | \(0.337282\pi\) |
−0.999923 | + | 0.0124046i | \(0.996051\pi\) | |||||||
\(734\) | 11.2195 | + | 19.4328i | 0.414120 | + | 0.717277i | ||||
\(735\) | 0.848010 | + | 4.80931i | 0.0312793 | + | 0.177394i | ||||
\(736\) | 1.94137 | + | 1.62900i | 0.0715597 | + | 0.0600458i | ||||
\(737\) | 10.1959 | − | 8.55542i | 0.375573 | − | 0.315143i | ||||
\(738\) | 0.194619 | − | 1.10374i | 0.00716403 | − | 0.0406293i | ||||
\(739\) | −3.80072 | + | 1.38335i | −0.139812 | + | 0.0508873i | −0.410978 | − | 0.911645i | \(-0.634813\pi\) |
0.271167 | + | 0.962532i | \(0.412591\pi\) | |||||||
\(740\) | −15.2750 | −0.561522 | ||||||||
\(741\) | 1.72085 | − | 19.5094i | 0.0632172 | − | 0.716697i | ||||
\(742\) | −24.9246 | −0.915011 | ||||||||
\(743\) | −8.30443 | + | 3.02256i | −0.304660 | + | 0.110887i | −0.489826 | − | 0.871820i | \(-0.662940\pi\) |
0.185166 | + | 0.982707i | \(0.440718\pi\) | |||||||
\(744\) | −2.83768 | + | 16.0933i | −0.104034 | + | 0.590007i | ||||
\(745\) | −21.4213 | + | 17.9746i | −0.784816 | + | 0.658539i | ||||
\(746\) | 25.8390 | + | 21.6815i | 0.946034 | + | 0.793817i | ||||
\(747\) | 0.205791 | + | 1.16710i | 0.00752950 | + | 0.0427019i | ||||
\(748\) | 2.66961 | + | 4.62391i | 0.0976108 | + | 0.169067i | ||||
\(749\) | 25.3206 | − | 43.8566i | 0.925195 | − | 1.60248i | ||||
\(750\) | −18.9423 | − | 6.89443i | −0.691675 | − | 0.251749i | ||||
\(751\) | 8.14780 | + | 2.96556i | 0.297317 | + | 0.108215i | 0.486372 | − | 0.873752i | \(-0.338320\pi\) |
−0.189054 | + | 0.981967i | \(0.560542\pi\) | |||||||
\(752\) | 5.48270 | − | 9.49632i | 0.199934 | − | 0.346295i | ||||
\(753\) | 19.3410 | + | 33.4996i | 0.704826 | + | 1.22079i | ||||
\(754\) | 2.02959 | + | 11.5104i | 0.0739134 | + | 0.419184i | ||||
\(755\) | 16.8102 | + | 14.1054i | 0.611787 | + | 0.513350i | ||||
\(756\) | 11.8891 | − | 9.97611i | 0.432401 | − | 0.362828i | ||||
\(757\) | −0.0233162 | + | 0.132233i | −0.000847441 | + | 0.00480607i | −0.985229 | − | 0.171245i | \(-0.945221\pi\) |
0.984381 | + | 0.176051i | \(0.0563323\pi\) | |||||||
\(758\) | 24.8644 | − | 9.04989i | 0.903114 | − | 0.328707i | ||||
\(759\) | 4.25775 | 0.154547 | ||||||||
\(760\) | 2.25128 | + | 8.42591i | 0.0816627 | + | 0.305640i | ||||
\(761\) | −3.19351 | −0.115765 | −0.0578823 | − | 0.998323i | \(-0.518435\pi\) | ||||
−0.0578823 | + | 0.998323i | \(0.518435\pi\) | |||||||
\(762\) | 17.2929 | − | 6.29410i | 0.626456 | − | 0.228011i | ||||
\(763\) | −2.36970 | + | 13.4393i | −0.0857891 | + | 0.486534i | ||||
\(764\) | −4.82871 | + | 4.05177i | −0.174697 | + | 0.146588i | ||||
\(765\) | −1.45153 | − | 1.21798i | −0.0524803 | − | 0.0440362i | ||||
\(766\) | −5.06339 | − | 28.7159i | −0.182948 | − | 1.03755i | ||||
\(767\) | 12.4105 | + | 21.4957i | 0.448118 | + | 0.776164i | ||||
\(768\) | −0.840034 | + | 1.45498i | −0.0303121 | + | 0.0525021i | ||||
\(769\) | −40.4710 | − | 14.7302i | −1.45942 | − | 0.531186i | −0.514215 | − | 0.857661i | \(-0.671917\pi\) |
−0.945206 | + | 0.326475i | \(0.894139\pi\) | |||||||
\(770\) | 5.46636 | + | 1.98959i | 0.196994 | + | 0.0716999i | ||||
\(771\) | 13.7541 | − | 23.8227i | 0.495341 | − | 0.857955i | ||||
\(772\) | −2.03808 | − | 3.53006i | −0.0733521 | − | 0.127050i | ||||
\(773\) | −5.13275 | − | 29.1093i | −0.184612 | − | 1.04699i | −0.926453 | − | 0.376411i | \(-0.877158\pi\) |
0.741841 | − | 0.670576i | \(-0.233953\pi\) | |||||||
\(774\) | 0.938073 | + | 0.787137i | 0.0337183 | + | 0.0282931i | ||||
\(775\) | −7.42591 | + | 6.23108i | −0.266746 | + | 0.223827i | ||||
\(776\) | 1.32074 | − | 7.49031i | 0.0474120 | − | 0.268887i | ||||
\(777\) | −35.0414 | + | 12.7540i | −1.25710 | + | 0.457548i | ||||
\(778\) | −37.4224 | −1.34166 | ||||||||
\(779\) | 26.5994 | + | 7.14760i | 0.953023 | + | 0.256089i | ||||
\(780\) | −8.99009 | −0.321897 | ||||||||
\(781\) | 4.25659 | − | 1.54927i | 0.152313 | − | 0.0554374i | ||||
\(782\) | 2.34965 | − | 13.3255i | 0.0840232 | − | 0.476519i | ||||
\(783\) | −17.8716 | + | 14.9961i | −0.638680 | + | 0.535916i | ||||
\(784\) | 1.11287 | + | 0.933809i | 0.0397454 | + | 0.0333503i | ||||
\(785\) | −7.78152 | − | 44.1312i | −0.277734 | − | 1.57511i | ||||
\(786\) | 1.40392 | + | 2.43166i | 0.0500761 | + | 0.0867343i | ||||
\(787\) | −26.0251 | + | 45.0768i | −0.927695 | + | 1.60681i | −0.140525 | + | 0.990077i | \(0.544879\pi\) |
−0.787169 | + | 0.616737i | \(0.788454\pi\) | |||||||
\(788\) | 15.1438 | + | 5.51190i | 0.539477 | + | 0.196353i | ||||
\(789\) | 14.9411 | + | 5.43812i | 0.531917 | + | 0.193602i | ||||
\(790\) | −10.4130 | + | 18.0359i | −0.370479 | + | 0.641689i | ||||
\(791\) | −9.95992 | − | 17.2511i | −0.354134 | − | 0.613378i | ||||
\(792\) | −0.0308000 | − | 0.174676i | −0.00109443 | − | 0.00620683i | ||||
\(793\) | 17.6454 | + | 14.8063i | 0.626608 | + | 0.525786i | ||||
\(794\) | 0.299718 | − | 0.251493i | 0.0106366 | − | 0.00892516i | ||||
\(795\) | −5.00426 | + | 28.3806i | −0.177483 | + | 1.00656i | ||||
\(796\) | 3.24707 | − | 1.18184i | 0.115089 | − | 0.0418891i | ||||
\(797\) | 26.1475 | 0.926191 | 0.463096 | − | 0.886308i | \(-0.346739\pi\) | ||||
0.463096 | + | 0.886308i | \(0.346739\pi\) | |||||||
\(798\) | 12.1998 | + | 17.4495i | 0.431868 | + | 0.617707i | ||||
\(799\) | −58.5468 | −2.07124 | ||||||||
\(800\) | −0.936517 | + | 0.340864i | −0.0331109 | + | 0.0120514i | ||||
\(801\) | −0.0161831 | + | 0.0917788i | −0.000571801 | + | 0.00324285i | ||||
\(802\) | −4.71055 | + | 3.95262i | −0.166335 | + | 0.139572i | ||||
\(803\) | −1.88296 | − | 1.57999i | −0.0664482 | − | 0.0557566i | ||||
\(804\) | −3.88303 | − | 22.0218i | −0.136944 | − | 0.776648i | ||||
\(805\) | −7.37116 | − | 12.7672i | −0.259799 | − | 0.449986i | ||||
\(806\) | −13.0065 | + | 22.5279i | −0.458133 | + | 0.793510i | ||||
\(807\) | −5.70002 | − | 2.07464i | −0.200650 | − | 0.0730307i | ||||
\(808\) | 2.68946 | + | 0.978882i | 0.0946147 | + | 0.0344369i | ||||
\(809\) | 18.6761 | − | 32.3479i | 0.656617 | − | 1.13729i | −0.324869 | − | 0.945759i | \(-0.605320\pi\) |
0.981486 | − | 0.191534i | \(-0.0613463\pi\) | |||||||
\(810\) | −8.43999 | − | 14.6185i | −0.296551 | − | 0.513642i | ||||
\(811\) | −7.22227 | − | 40.9595i | −0.253608 | − | 1.43828i | −0.799620 | − | 0.600506i | \(-0.794966\pi\) |
0.546012 | − | 0.837778i | \(-0.316145\pi\) | |||||||
\(812\) | −9.73348 | − | 8.16736i | −0.341578 | − | 0.286618i | ||||
\(813\) | −9.85448 | + | 8.26889i | −0.345612 | + | 0.290003i | ||||
\(814\) | −1.32568 | + | 7.51832i | −0.0464651 | + | 0.263517i | ||||
\(815\) | 45.2347 | − | 16.4641i | 1.58450 | − | 0.576712i | ||||
\(816\) | 8.97027 | 0.314022 | ||||||||
\(817\) | −21.2948 | + | 21.2644i | −0.745009 | + | 0.743949i | ||||
\(818\) | −23.9738 | −0.838224 | ||||||||
\(819\) | 1.29595 | − | 0.471689i | 0.0452843 | − | 0.0164821i | ||||
\(820\) | 2.19542 | − | 12.4509i | 0.0766675 | − | 0.434803i | ||||
\(821\) | −34.1340 | + | 28.6418i | −1.19128 | + | 0.999606i | −0.191448 | + | 0.981503i | \(0.561318\pi\) |
−0.999836 | + | 0.0181032i | \(0.994237\pi\) | |||||||
\(822\) | −13.7647 | − | 11.5500i | −0.480100 | − | 0.402852i | ||||
\(823\) | −1.80740 | − | 10.2503i | −0.0630020 | − | 0.357302i | −0.999969 | − | 0.00788392i | \(-0.997490\pi\) |
0.936967 | − | 0.349418i | \(-0.113621\pi\) | |||||||
\(824\) | −7.52023 | − | 13.0254i | −0.261980 | − | 0.453762i | ||||
\(825\) | −0.837196 | + | 1.45007i | −0.0291474 | + | 0.0504848i | ||||
\(826\) | −25.3560 | − | 9.22884i | −0.882250 | − | 0.321113i | ||||
\(827\) | −31.1094 | − | 11.3229i | −1.08178 | − | 0.393736i | −0.261211 | − | 0.965282i | \(-0.584122\pi\) |
−0.820570 | + | 0.571546i | \(0.806344\pi\) | |||||||
\(828\) | −0.224753 | + | 0.389283i | −0.00781069 | + | 0.0135285i | ||||
\(829\) | 0.711322 | + | 1.23205i | 0.0247052 | + | 0.0427907i | 0.878114 | − | 0.478452i | \(-0.158802\pi\) |
−0.853408 | + | 0.521243i | \(0.825469\pi\) | |||||||
\(830\) | 2.32145 | + | 13.1656i | 0.0805786 | + | 0.456984i | ||||
\(831\) | −39.8968 | − | 33.4774i | −1.38401 | − | 1.16132i | ||||
\(832\) | −2.04870 | + | 1.71906i | −0.0710258 | + | 0.0595977i | ||||
\(833\) | 1.34691 | − | 7.63872i | 0.0466678 | − | 0.264666i | ||||
\(834\) | −4.85118 | + | 1.76568i | −0.167982 | + | 0.0611406i | ||||
\(835\) | −23.2712 | −0.805334 | ||||||||
\(836\) | 4.34258 | − | 0.376811i | 0.150191 | − | 0.0130323i | ||||
\(837\) | −51.9231 | −1.79472 | ||||||||
\(838\) | −18.4781 | + | 6.72548i | −0.638315 | + | 0.232328i | ||||
\(839\) | −5.35719 | + | 30.3822i | −0.184951 | + | 1.04891i | 0.741068 | + | 0.671430i | \(0.234320\pi\) |
−0.926019 | + | 0.377478i | \(0.876791\pi\) | |||||||
\(840\) | 7.48675 | − | 6.28213i | 0.258317 | − | 0.216754i | ||||
\(841\) | −7.58394 | − | 6.36368i | −0.261515 | − | 0.219437i | ||||
\(842\) | 1.46781 | + | 8.32438i | 0.0505842 | + | 0.286877i | ||||
\(843\) | −4.08851 | − | 7.08152i | −0.140816 | − | 0.243900i | ||||
\(844\) | 3.37946 | − | 5.85339i | 0.116326 | − | 0.201482i | ||||
\(845\) | 10.9947 | + | 4.00173i | 0.378228 | + | 0.137664i | ||||
\(846\) | 1.82764 | + | 0.665208i | 0.0628357 | + | 0.0228703i | ||||
\(847\) | 1.45368 | − | 2.51785i | 0.0499491 | − | 0.0865143i | ||||
\(848\) | 4.28647 | + | 7.42438i | 0.147198 | + | 0.254954i | ||||
\(849\) | −6.27008 | − | 35.5594i | −0.215189 | − | 1.22039i | ||||
\(850\) | 4.07627 | + | 3.42039i | 0.139815 | + | 0.117319i | ||||
\(851\) | 14.8210 | − | 12.4363i | 0.508057 | − | 0.426310i | ||||
\(852\) | 1.32152 | − | 7.49471i | 0.0452745 | − | 0.256765i | ||||
\(853\) | −38.8932 | + | 14.1560i | −1.33168 | + | 0.484691i | −0.907182 | − | 0.420738i | \(-0.861771\pi\) |
−0.424496 | + | 0.905430i | \(0.639549\pi\) | |||||||
\(854\) | −25.0411 | −0.856889 | ||||||||
\(855\) | −1.40246 | + | 0.652763i | −0.0479632 | + | 0.0223240i | ||||
\(856\) | −17.4183 | −0.595344 | ||||||||
\(857\) | 42.3813 | − | 15.4255i | 1.44772 | − | 0.526927i | 0.505766 | − | 0.862671i | \(-0.331210\pi\) |
0.941953 | + | 0.335744i | \(0.108988\pi\) | |||||||
\(858\) | −0.780227 | + | 4.42489i | −0.0266365 | + | 0.151063i | ||||
\(859\) | −15.6869 | + | 13.1629i | −0.535232 | + | 0.449113i | −0.869903 | − | 0.493222i | \(-0.835819\pi\) |
0.334672 | + | 0.942335i | \(0.391375\pi\) | |||||||
\(860\) | 10.5820 | + | 8.87938i | 0.360844 | + | 0.302784i | ||||
\(861\) | −5.35958 | − | 30.3957i | −0.182654 | − | 1.03588i | ||||
\(862\) | 19.1883 | + | 33.2351i | 0.653557 | + | 1.13199i | ||||
\(863\) | −8.89518 | + | 15.4069i | −0.302796 | + | 0.524457i | −0.976768 | − | 0.214299i | \(-0.931253\pi\) |
0.673972 | + | 0.738756i | \(0.264587\pi\) | |||||||
\(864\) | −5.01627 | − | 1.82577i | −0.170657 | − | 0.0621140i | ||||
\(865\) | −0.803365 | − | 0.292401i | −0.0273152 | − | 0.00994194i | ||||
\(866\) | 4.76024 | − | 8.24498i | 0.161760 | − | 0.280176i | ||||
\(867\) | −9.66658 | − | 16.7430i | −0.328294 | − | 0.568622i | ||||
\(868\) | −4.91060 | − | 27.8494i | −0.166677 | − | 0.945271i | ||||
\(869\) | 7.97348 | + | 6.69055i | 0.270482 | + | 0.226961i | ||||
\(870\) | −11.2541 | + | 9.44328i | −0.381549 | + | 0.320157i | ||||
\(871\) | 6.18113 | − | 35.0549i | 0.209439 | − | 1.18779i | ||||
\(872\) | 4.41073 | − | 1.60538i | 0.149366 | − | 0.0543649i | ||||
\(873\) | 1.34905 | 0.0456586 | ||||||||
\(874\) | −9.04437 | − | 6.34254i | −0.305930 | − | 0.214540i | ||||
\(875\) | 34.8834 | 1.17927 | ||||||||
\(876\) | −3.88061 | + | 1.41243i | −0.131114 | + | 0.0477214i | ||||
\(877\) | −7.44215 | + | 42.2066i | −0.251304 | + | 1.42521i | 0.554082 | + | 0.832462i | \(0.313070\pi\) |
−0.805385 | + | 0.592752i | \(0.798042\pi\) | |||||||
\(878\) | 9.89361 | − | 8.30173i | 0.333893 | − | 0.280170i | ||||
\(879\) | 5.24872 | + | 4.40420i | 0.177035 | + | 0.148550i | ||||
\(880\) | −0.347443 | − | 1.97045i | −0.0117123 | − | 0.0664238i | ||||
\(881\) | −18.0254 | − | 31.2209i | −0.607292 | − | 1.05186i | −0.991685 | − | 0.128691i | \(-0.958923\pi\) |
0.384393 | − | 0.923170i | \(-0.374411\pi\) | |||||||
\(882\) | −0.128837 | + | 0.223153i | −0.00433818 | + | 0.00751395i | ||||
\(883\) | 31.0365 | + | 11.2964i | 1.04446 | + | 0.380152i | 0.806569 | − | 0.591139i | \(-0.201322\pi\) |
0.237891 | + | 0.971292i | \(0.423544\pi\) | |||||||
\(884\) | 13.4180 | + | 4.88376i | 0.451296 | + | 0.164258i | ||||
\(885\) | −15.5994 | + | 27.0189i | −0.524367 | + | 0.908230i | ||||
\(886\) | 11.6782 | + | 20.2273i | 0.392337 | + | 0.679548i | ||||
\(887\) | −5.69522 | − | 32.2992i | −0.191227 | − | 1.08450i | −0.917690 | − | 0.397297i | \(-0.869948\pi\) |
0.726463 | − | 0.687205i | \(-0.241163\pi\) | |||||||
\(888\) | 9.82540 | + | 8.24449i | 0.329719 | + | 0.276667i | ||||
\(889\) | −24.3954 | + | 20.4702i | −0.818196 | + | 0.686548i | ||||
\(890\) | −0.182555 | + | 1.03532i | −0.00611926 | + | 0.0347040i | ||||
\(891\) | −7.92765 | + | 2.88543i | −0.265586 | + | 0.0966655i | ||||
\(892\) | −3.75832 | −0.125838 | ||||||||
\(893\) | −20.2308 | + | 43.3045i | −0.676997 | + | 1.44913i | ||||
\(894\) | 23.4804 | 0.785302 | ||||||||
\(895\) | −48.5770 | + | 17.6806i | −1.62375 | + | 0.590997i | ||||
\(896\) | 0.504858 | − | 2.86319i | 0.0168661 | − | 0.0956525i | ||||
\(897\) | 8.72285 | − | 7.31934i | 0.291247 | − | 0.244386i | ||||
\(898\) | 12.0798 | + | 10.1361i | 0.403107 | + | 0.338247i | ||||
\(899\) | 7.38161 | + | 41.8632i | 0.246190 | + | 1.39622i | ||||
\(900\) | −0.0883855 | − | 0.153088i | −0.00294618 | − | 0.00510294i | ||||
\(901\) | 22.8864 | − | 39.6405i | 0.762457 | − | 1.32061i | ||||
\(902\) | −5.93773 | − | 2.16116i | −0.197705 | − | 0.0719587i | ||||
\(903\) | 31.6894 | + | 11.5340i | 1.05456 | + | 0.383827i | ||||
\(904\) | −3.42576 | + | 5.93359i | −0.113939 | + | 0.197348i | ||||
\(905\) | 2.97928 | + | 5.16026i | 0.0990346 | + | 0.171533i | ||||
\(906\) | −3.19966 | − | 18.1461i | −0.106301 | − | 0.602865i | ||||
\(907\) | 5.13126 | + | 4.30564i | 0.170381 | + | 0.142966i | 0.723991 | − | 0.689810i | \(-0.242306\pi\) |
−0.553610 | + | 0.832776i | \(0.686750\pi\) | |||||||
\(908\) | −4.76119 | + | 3.99511i | −0.158006 | + | 0.132582i | ||||
\(909\) | −0.0881515 | + | 0.499932i | −0.00292380 | + | 0.0165817i | ||||
\(910\) | 14.6191 | − | 5.32093i | 0.484620 | − | 0.176387i | ||||
\(911\) | −22.1684 | −0.734473 | −0.367236 | − | 0.930128i | \(-0.619696\pi\) | ||||
−0.367236 | + | 0.930128i | \(0.619696\pi\) | |||||||
\(912\) | 3.09966 | − | 6.63491i | 0.102640 | − | 0.219704i | ||||
\(913\) | 6.68152 | 0.221126 | ||||||||
\(914\) | −17.6913 | + | 6.43912i | −0.585177 | + | 0.212987i | ||||
\(915\) | −5.02765 | + | 28.5132i | −0.166209 | + | 0.942618i | ||||
\(916\) | 1.49479 | − | 1.25428i | 0.0493894 | − | 0.0414426i | ||||
\(917\) | −3.72218 | − | 3.12328i | −0.122917 | − | 0.103140i | ||||
\(918\) | 4.94930 | + | 28.0689i | 0.163351 | + | 0.926410i | ||||
\(919\) | −26.2213 | − | 45.4166i | −0.864961 | − | 1.49816i | −0.867086 | − | 0.498159i | \(-0.834010\pi\) |
0.00212474 | − | 0.999998i | \(-0.499324\pi\) | |||||||
\(920\) | −2.53535 | + | 4.39135i | −0.0835879 | + | 0.144778i | ||||
\(921\) | 25.9804 | + | 9.45608i | 0.856083 | + | 0.311589i | ||||
\(922\) | −26.9675 | − | 9.81538i | −0.888128 | − | 0.323252i | ||||
\(923\) | 6.05717 | − | 10.4913i | 0.199374 | − | 0.345326i | ||||
\(924\) | −2.44228 | − | 4.23016i | −0.0803452 | − | 0.139162i | ||||
\(925\) | 1.32120 | + | 7.49291i | 0.0434409 | + | 0.246365i | ||||
\(926\) | −23.4263 | − | 19.6570i | −0.769835 | − | 0.645968i | ||||
\(927\) | 2.04360 | − | 1.71478i | 0.0671206 | − | 0.0563209i | ||||
\(928\) | −0.758902 | + | 4.30394i | −0.0249122 | + | 0.141284i | ||||
\(929\) | 44.2704 | − | 16.1131i | 1.45246 | − | 0.528654i | 0.509186 | − | 0.860656i | \(-0.329946\pi\) |
0.943279 | + | 0.332002i | \(0.107724\pi\) | |||||||
\(930\) | −32.6968 | −1.07217 | ||||||||
\(931\) | −5.18460 | − | 3.63580i | −0.169918 | − | 0.119159i | ||||
\(932\) | −8.42792 | −0.276066 | ||||||||
\(933\) | −21.9401 | + | 7.98553i | −0.718285 | + | 0.261434i | ||||
\(934\) | 6.16551 | − | 34.9663i | 0.201741 | − | 1.14413i | ||||
\(935\) | −8.18363 | + | 6.86688i | −0.267633 | + | 0.224571i | ||||
\(936\) | −0.363378 | − | 0.304910i | −0.0118774 | − | 0.00996631i | ||||
\(937\) | 4.16611 | + | 23.6272i | 0.136101 | + | 0.771866i | 0.974087 | + | 0.226174i | \(0.0726219\pi\) |
−0.837986 | + | 0.545692i | \(0.816267\pi\) | |||||||
\(938\) | 19.3483 | + | 33.5122i | 0.631744 | + | 1.09421i | ||||
\(939\) | 10.6859 | − | 18.5084i | 0.348720 | − | 0.604000i | ||||
\(940\) | 20.6169 | + | 7.50395i | 0.672450 | + | 0.244752i | ||||
\(941\) | 36.4695 | + | 13.2738i | 1.18887 | + | 0.432714i | 0.859327 | − | 0.511427i | \(-0.170883\pi\) |
0.329544 | + | 0.944140i | \(0.393105\pi\) | |||||||
\(942\) | −18.8139 | + | 32.5866i | −0.612989 | + | 1.06173i | ||||
\(943\) | 8.00679 | + | 13.8682i | 0.260737 | + | 0.451610i | ||||
\(944\) | 1.61164 | + | 9.14004i | 0.0524543 | + | 0.297483i | ||||
\(945\) | 23.7882 | + | 19.9606i | 0.773829 | + | 0.649320i | ||||
\(946\) | 5.28878 | − | 4.43782i | 0.171953 | − | 0.144286i | ||||
\(947\) | 5.56770 | − | 31.5760i | 0.180926 | − | 1.02608i | −0.750153 | − | 0.661264i | \(-0.770020\pi\) |
0.931079 | − | 0.364818i | \(-0.118869\pi\) | |||||||
\(948\) | 16.4326 | − | 5.98099i | 0.533707 | − | 0.194253i | ||||
\(949\) | −6.57371 | −0.213392 | ||||||||
\(950\) | 3.93846 | − | 1.83312i | 0.127781 | − | 0.0594743i | ||||
\(951\) | −20.1824 | −0.654461 | ||||||||
\(952\) | −14.5869 | + | 5.30920i | −0.472765 | + | 0.172072i | ||||
\(953\) | −2.06755 | + | 11.7257i | −0.0669745 | + | 0.379831i | 0.932835 | + | 0.360304i | \(0.117327\pi\) |
−0.999809 | + | 0.0195270i | \(0.993784\pi\) | |||||||
\(954\) | −1.16483 | + | 0.977413i | −0.0377129 | + | 0.0316449i | ||||
\(955\) | −9.66151 | − | 8.10697i | −0.312639 | − | 0.262335i | ||||
\(956\) | −0.559809 | − | 3.17483i | −0.0181055 | − | 0.102681i | ||||
\(957\) | 3.67124 | + | 6.35877i | 0.118674 | + | 0.205550i | ||||
\(958\) | 0.0783086 | − | 0.135635i | 0.00253004 | − | 0.00438215i | ||||
\(959\) | 29.2194 | + | 10.6350i | 0.943545 | + | 0.343422i | ||||
\(960\) | −3.15883 | − | 1.14972i | −0.101951 | − | 0.0371070i | ||||
\(961\) | −31.8044 | + | 55.0868i | −1.02595 | + | 1.77699i | ||||
\(962\) | 10.2085 | + | 17.6817i | 0.329136 | + | 0.570080i | ||||
\(963\) | −0.536483 | − | 3.04255i | −0.0172879 | − | 0.0980447i | ||||
\(964\) | −12.6724 | − | 10.6334i | −0.408150 | − | 0.342478i | ||||
\(965\) | 6.24768 | − | 5.24243i | 0.201120 | − | 0.168760i | ||||
\(966\) | −2.14956 | + | 12.1908i | −0.0691610 | + | 0.392232i | ||||
\(967\) | −15.7159 | + | 5.72011i | −0.505389 | + | 0.183946i | −0.582116 | − | 0.813106i | \(-0.697775\pi\) |
0.0767275 | + | 0.997052i | \(0.475553\pi\) | |||||||
\(968\) | −1.00000 | −0.0321412 | ||||||||
\(969\) | −38.9541 | + | 3.38009i | −1.25139 | + | 0.108584i | ||||
\(970\) | 15.2181 | 0.488625 | ||||||||
\(971\) | −46.4297 | + | 16.8990i | −1.49000 | + | 0.542315i | −0.953449 | − | 0.301553i | \(-0.902495\pi\) |
−0.536550 | + | 0.843869i | \(0.680273\pi\) | |||||||
\(972\) | 0.319655 | − | 1.81285i | 0.0102529 | − | 0.0581473i | ||||
\(973\) | 6.84364 | − | 5.74250i | 0.219397 | − | 0.184096i | ||||
\(974\) | −5.80259 | − | 4.86896i | −0.185927 | − | 0.156011i | ||||
\(975\) | 0.777590 | + | 4.40993i | 0.0249028 | + | 0.141231i | ||||
\(976\) | 4.30650 | + | 7.45908i | 0.137848 | + | 0.238759i | ||||
\(977\) | −9.97859 | + | 17.2834i | −0.319243 | + | 0.552946i | −0.980330 | − | 0.197364i | \(-0.936762\pi\) |
0.661087 | + | 0.750309i | \(0.270095\pi\) | |||||||
\(978\) | −37.9827 | − | 13.8246i | −1.21455 | − | 0.442061i | ||||
\(979\) | 0.493737 | + | 0.179706i | 0.0157799 | + | 0.00574342i | ||||
\(980\) | −1.45336 | + | 2.51730i | −0.0464260 | + | 0.0804121i | ||||
\(981\) | 0.416271 | + | 0.721002i | 0.0132905 | + | 0.0230198i | ||||
\(982\) | −2.26562 | − | 12.8490i | −0.0722989 | − | 0.410027i | ||||
\(983\) | 26.1986 | + | 21.9832i | 0.835606 | + | 0.701156i | 0.956571 | − | 0.291500i | \(-0.0941545\pi\) |
−0.120965 | + | 0.992657i | \(0.538599\pi\) | |||||||
\(984\) | −8.13234 | + | 6.82384i | −0.259250 | + | 0.217536i | ||||
\(985\) | −5.59930 | + | 31.7552i | −0.178408 | + | 1.01180i | ||||
\(986\) | 21.9270 | − | 7.98078i | 0.698299 | − | 0.254160i | ||||
\(987\) | 53.5612 | 1.70487 | ||||||||
\(988\) | 8.24887 | − | 8.23713i | 0.262432 | − | 0.262058i | ||||
\(989\) | −17.4967 | −0.556362 | ||||||||
\(990\) | 0.333488 | − | 0.121380i | 0.0105989 | − | 0.00385770i | ||||
\(991\) | −4.04660 | + | 22.9494i | −0.128545 | + | 0.729013i | 0.850595 | + | 0.525822i | \(0.176242\pi\) |
−0.979139 | + | 0.203191i | \(0.934869\pi\) | |||||||
\(992\) | −7.45108 | + | 6.25220i | −0.236572 | + | 0.198508i | ||||
\(993\) | 6.26700 | + | 5.25864i | 0.198877 | + | 0.166878i | ||||
\(994\) | 2.28689 | + | 12.9696i | 0.0725358 | + | 0.411371i | ||||
\(995\) | 3.45692 | + | 5.98756i | 0.109592 | + | 0.189818i | ||||
\(996\) | 5.61270 | − | 9.72149i | 0.177845 | − | 0.308037i | ||||
\(997\) | −34.0224 | − | 12.3831i | −1.07750 | − | 0.392178i | −0.258523 | − | 0.966005i | \(-0.583236\pi\) |
−0.818976 | + | 0.573828i | \(0.805458\pi\) | |||||||
\(998\) | −3.29054 | − | 1.19766i | −0.104160 | − | 0.0379112i | ||||
\(999\) | −20.3767 | + | 35.2935i | −0.644690 | + | 1.11664i |
(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 | 418.2.j.a.309.3 | yes | 24 | |
19.2 | odd | 18 | 7942.2.a.bx.1.4 | 12 | |||
19.4 | even | 9 | inner | 418.2.j.a.23.3 | ✓ | 24 | |
19.17 | even | 9 | 7942.2.a.bt.1.9 | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
418.2.j.a.23.3 | ✓ | 24 | 19.4 | even | 9 | inner | |
418.2.j.a.309.3 | yes | 24 | 1.1 | even | 1 | trivial | |
7942.2.a.bt.1.9 | 12 | 19.17 | even | 9 | |||
7942.2.a.bx.1.4 | 12 | 19.2 | odd | 18 |