Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [225,2,Mod(16,225)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(225, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([20, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("225.16");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 225 = 3^{2} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 225.q (of order \(15\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.79663404548\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 121.12 | ||
Character | \(\chi\) | \(=\) | 225.121 |
Dual form | 225.2.q.a.106.12 |
$q$-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 \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{3}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.745950 | + | 0.158557i | −0.527466 | + | 0.112116i | −0.463945 | − | 0.885864i | \(-0.653566\pi\) |
−0.0635213 | + | 0.997980i | \(0.520233\pi\) | |||||||
\(3\) | 1.13811 | + | 1.30565i | 0.657085 | + | 0.753816i | ||||
\(4\) | −1.29579 | + | 0.576923i | −0.647895 | + | 0.288461i | ||||
\(5\) | −1.26382 | + | 1.84465i | −0.565200 | + | 0.824954i | ||||
\(6\) | −1.05599 | − | 0.793494i | −0.431105 | − | 0.323943i | ||||
\(7\) | −0.476660 | − | 0.825599i | −0.180161 | − | 0.312047i | 0.761775 | − | 0.647842i | \(-0.224328\pi\) |
−0.941935 | + | 0.335795i | \(0.890995\pi\) | |||||||
\(8\) | 2.10906 | − | 1.53232i | 0.745664 | − | 0.541757i | ||||
\(9\) | −0.409434 | + | 2.97193i | −0.136478 | + | 0.990643i | ||||
\(10\) | 0.650268 | − | 1.57641i | 0.205633 | − | 0.498504i | ||||
\(11\) | −2.83092 | + | 0.601732i | −0.853556 | + | 0.181429i | −0.613856 | − | 0.789418i | \(-0.710382\pi\) |
−0.239700 | + | 0.970847i | \(0.577049\pi\) | |||||||
\(12\) | −2.22800 | − | 1.03525i | −0.643169 | − | 0.298850i | ||||
\(13\) | −1.91095 | − | 0.406185i | −0.530002 | − | 0.112655i | −0.0648650 | − | 0.997894i | \(-0.520662\pi\) |
−0.465137 | + | 0.885239i | \(0.653995\pi\) | |||||||
\(14\) | 0.486468 | + | 0.540278i | 0.130014 | + | 0.144395i | ||||
\(15\) | −3.84683 | + | 0.449300i | −0.993248 | + | 0.116009i | ||||
\(16\) | 0.567924 | − | 0.630744i | 0.141981 | − | 0.157686i | ||||
\(17\) | −5.51944 | + | 4.01011i | −1.33866 | + | 0.972594i | −0.339168 | + | 0.940726i | \(0.610146\pi\) |
−0.999492 | + | 0.0318678i | \(0.989854\pi\) | |||||||
\(18\) | −0.165802 | − | 2.28183i | −0.0390798 | − | 0.537832i | ||||
\(19\) | 3.77403 | − | 2.74200i | 0.865823 | − | 0.629057i | −0.0636402 | − | 0.997973i | \(-0.520271\pi\) |
0.929463 | + | 0.368916i | \(0.120271\pi\) | |||||||
\(20\) | 0.573428 | − | 3.11941i | 0.128222 | − | 0.697522i | ||||
\(21\) | 0.535453 | − | 1.56197i | 0.116845 | − | 0.340849i | ||||
\(22\) | 2.01632 | − | 0.897723i | 0.429881 | − | 0.191395i | ||||
\(23\) | 5.89471 | + | 6.54674i | 1.22913 | + | 1.36509i | 0.908500 | + | 0.417885i | \(0.137229\pi\) |
0.320632 | + | 0.947204i | \(0.396105\pi\) | |||||||
\(24\) | 4.40100 | + | 1.00975i | 0.898350 | + | 0.206113i | ||||
\(25\) | −1.80550 | − | 4.66264i | −0.361099 | − | 0.932527i | ||||
\(26\) | 1.48988 | 0.292189 | ||||||||
\(27\) | −4.34627 | + | 2.84779i | −0.836441 | + | 0.548058i | ||||
\(28\) | 1.09396 | + | 0.794807i | 0.206739 | + | 0.150204i | ||||
\(29\) | −0.0975850 | + | 0.928459i | −0.0181211 | + | 0.172411i | −0.999839 | − | 0.0179298i | \(-0.994292\pi\) |
0.981718 | + | 0.190340i | \(0.0609591\pi\) | |||||||
\(30\) | 2.79831 | − | 0.945095i | 0.510898 | − | 0.172550i | ||||
\(31\) | 0.277775 | + | 2.64285i | 0.0498898 | + | 0.474670i | 0.990733 | + | 0.135826i | \(0.0433689\pi\) |
−0.940843 | + | 0.338843i | \(0.889964\pi\) | |||||||
\(32\) | −2.93057 | + | 5.07590i | −0.518057 | + | 0.897300i | ||||
\(33\) | −4.00754 | − | 3.01136i | −0.697623 | − | 0.524210i | ||||
\(34\) | 3.48139 | − | 3.86648i | 0.597054 | − | 0.663096i | ||||
\(35\) | 2.12536 | + | 0.164140i | 0.359251 | + | 0.0277447i | ||||
\(36\) | −1.18403 | − | 4.08721i | −0.197339 | − | 0.681201i | ||||
\(37\) | 0.799338 | + | 2.46011i | 0.131410 | + | 0.404439i | 0.995014 | − | 0.0997312i | \(-0.0317983\pi\) |
−0.863604 | + | 0.504171i | \(0.831798\pi\) | |||||||
\(38\) | −2.38048 | + | 2.64379i | −0.386164 | + | 0.428879i | ||||
\(39\) | −1.64453 | − | 2.95731i | −0.263335 | − | 0.473549i | ||||
\(40\) | 0.161121 | + | 5.82706i | 0.0254755 | + | 0.921339i | ||||
\(41\) | 5.30176 | + | 1.12692i | 0.827996 | + | 0.175996i | 0.602369 | − | 0.798218i | \(-0.294224\pi\) |
0.225627 | + | 0.974214i | \(0.427557\pi\) | |||||||
\(42\) | −0.151761 | + | 1.25005i | −0.0234172 | + | 0.192887i | ||||
\(43\) | 4.43871 | + | 7.68807i | 0.676897 | + | 1.17242i | 0.975911 | + | 0.218171i | \(0.0700090\pi\) |
−0.299014 | + | 0.954249i | \(0.596658\pi\) | |||||||
\(44\) | 3.32113 | − | 2.41294i | 0.500679 | − | 0.363765i | ||||
\(45\) | −4.96473 | − | 4.51126i | −0.740098 | − | 0.672499i | ||||
\(46\) | −5.43519 | − | 3.94889i | −0.801374 | − | 0.582233i | ||||
\(47\) | 0.419452 | − | 3.99082i | 0.0611834 | − | 0.582121i | −0.920385 | − | 0.391012i | \(-0.872125\pi\) |
0.981569 | − | 0.191109i | \(-0.0612084\pi\) | |||||||
\(48\) | 1.46989 | + | 0.0236566i | 0.212160 | + | 0.00341453i | ||||
\(49\) | 3.04559 | − | 5.27512i | 0.435084 | − | 0.753588i | ||||
\(50\) | 2.08610 | + | 3.19182i | 0.295019 | + | 0.451392i | ||||
\(51\) | −11.5175 | − | 2.64252i | −1.61277 | − | 0.370027i | ||||
\(52\) | 2.71053 | − | 0.576140i | 0.375883 | − | 0.0798963i | ||||
\(53\) | 4.30252 | + | 3.12596i | 0.590996 | + | 0.429384i | 0.842672 | − | 0.538428i | \(-0.180982\pi\) |
−0.251675 | + | 0.967812i | \(0.580982\pi\) | |||||||
\(54\) | 2.79057 | − | 2.81344i | 0.379748 | − | 0.382861i | ||||
\(55\) | 2.46781 | − | 5.98256i | 0.332759 | − | 0.806688i | ||||
\(56\) | −2.27038 | − | 1.01084i | −0.303393 | − | 0.135079i | ||||
\(57\) | 7.87533 | + | 1.80688i | 1.04311 | + | 0.239327i | ||||
\(58\) | −0.0744198 | − | 0.708057i | −0.00977179 | − | 0.0929724i | ||||
\(59\) | −4.69343 | − | 0.997620i | −0.611033 | − | 0.129879i | −0.108007 | − | 0.994150i | \(-0.534447\pi\) |
−0.503026 | + | 0.864271i | \(0.667780\pi\) | |||||||
\(60\) | 4.72548 | − | 2.80152i | 0.610057 | − | 0.361675i | ||||
\(61\) | 10.9896 | − | 2.33592i | 1.40708 | − | 0.299084i | 0.559095 | − | 0.829104i | \(-0.311149\pi\) |
0.847985 | + | 0.530020i | \(0.177815\pi\) | |||||||
\(62\) | −0.626247 | − | 1.92739i | −0.0795334 | − | 0.244779i | ||||
\(63\) | 2.64878 | − | 1.07857i | 0.333715 | − | 0.135887i | ||||
\(64\) | 0.856686 | − | 2.63661i | 0.107086 | − | 0.329576i | ||||
\(65\) | 3.16438 | − | 3.01170i | 0.392493 | − | 0.373555i | ||||
\(66\) | 3.46689 | + | 1.61090i | 0.426745 | + | 0.198288i | ||||
\(67\) | −0.387024 | − | 3.68228i | −0.0472824 | − | 0.449862i | −0.992393 | − | 0.123111i | \(-0.960713\pi\) |
0.945110 | − | 0.326751i | \(-0.105954\pi\) | |||||||
\(68\) | 4.83851 | − | 8.38055i | 0.586756 | − | 1.01629i | ||||
\(69\) | −1.83894 | + | 15.1473i | −0.221382 | + | 1.82352i | ||||
\(70\) | −1.61144 | + | 0.214549i | −0.192604 | + | 0.0256436i | ||||
\(71\) | −0.125408 | − | 0.0911140i | −0.0148832 | − | 0.0108132i | 0.580319 | − | 0.814389i | \(-0.302928\pi\) |
−0.595202 | + | 0.803576i | \(0.702928\pi\) | |||||||
\(72\) | 3.69042 | + | 6.89535i | 0.434921 | + | 0.812625i | ||||
\(73\) | −3.09917 | + | 9.53828i | −0.362731 | + | 1.11637i | 0.588659 | + | 0.808381i | \(0.299656\pi\) |
−0.951390 | + | 0.307989i | \(0.900344\pi\) | |||||||
\(74\) | −0.986332 | − | 1.70838i | −0.114659 | − | 0.198595i | ||||
\(75\) | 4.03292 | − | 7.66391i | 0.465682 | − | 0.884952i | ||||
\(76\) | −3.30843 | + | 5.73038i | −0.379503 | + | 0.657319i | ||||
\(77\) | 1.84618 | + | 2.05039i | 0.210391 | + | 0.233663i | ||||
\(78\) | 1.69564 | + | 1.94525i | 0.191993 | + | 0.220257i | ||||
\(79\) | −0.442202 | + | 4.20727i | −0.0497516 | + | 0.473355i | 0.941073 | + | 0.338203i | \(0.109819\pi\) |
−0.990825 | + | 0.135152i | \(0.956848\pi\) | |||||||
\(80\) | 0.445747 | + | 1.84477i | 0.0498361 | + | 0.206252i | ||||
\(81\) | −8.66473 | − | 2.43362i | −0.962748 | − | 0.270402i | ||||
\(82\) | −4.13353 | −0.456472 | ||||||||
\(83\) | −3.01510 | − | 1.34241i | −0.330950 | − | 0.147348i | 0.234534 | − | 0.972108i | \(-0.424644\pi\) |
−0.565483 | + | 0.824760i | \(0.691310\pi\) | |||||||
\(84\) | 0.207301 | + | 2.33290i | 0.0226184 | + | 0.254540i | ||||
\(85\) | −0.421657 | − | 15.2495i | −0.0457351 | − | 1.65404i | ||||
\(86\) | −4.53005 | − | 5.03113i | −0.488488 | − | 0.542520i | ||||
\(87\) | −1.32330 | + | 0.929272i | −0.141873 | + | 0.0996285i | ||||
\(88\) | −5.04853 | + | 5.60696i | −0.538176 | + | 0.597704i | ||||
\(89\) | 5.32122 | − | 16.3770i | 0.564048 | − | 1.73596i | −0.106716 | − | 0.994290i | \(-0.534034\pi\) |
0.670764 | − | 0.741671i | \(-0.265966\pi\) | |||||||
\(90\) | 4.41873 | + | 2.57798i | 0.465775 | + | 0.271743i | ||||
\(91\) | 0.575527 | + | 1.77129i | 0.0603317 | + | 0.185682i | ||||
\(92\) | −11.4153 | − | 5.08241i | −1.19012 | − | 0.529877i | ||||
\(93\) | −3.13449 | + | 3.37051i | −0.325032 | + | 0.349506i | ||||
\(94\) | 0.319881 | + | 3.04346i | 0.0329932 | + | 0.313909i | ||||
\(95\) | 0.288317 | + | 10.4272i | 0.0295807 | + | 1.06981i | ||||
\(96\) | −9.96263 | + | 1.95061i | −1.01681 | + | 0.199083i | ||||
\(97\) | 0.203049 | − | 1.93189i | 0.0206165 | − | 0.196153i | −0.979366 | − | 0.202096i | \(-0.935225\pi\) |
0.999982 | + | 0.00594233i | \(0.00189151\pi\) | |||||||
\(98\) | −1.43545 | + | 4.41787i | −0.145003 | + | 0.446272i | ||||
\(99\) | −0.629227 | − | 8.65968i | −0.0632397 | − | 0.870330i | ||||
\(100\) | 5.02952 | + | 5.00017i | 0.502952 | + | 0.500017i | ||||
\(101\) | 3.61804 | + | 6.26663i | 0.360009 | + | 0.623553i | 0.987962 | − | 0.154698i | \(-0.0494404\pi\) |
−0.627953 | + | 0.778251i | \(0.716107\pi\) | |||||||
\(102\) | 9.01046 | + | 0.145016i | 0.892168 | + | 0.0143587i | ||||
\(103\) | −16.2100 | + | 7.21716i | −1.59722 | + | 0.711128i | −0.996117 | − | 0.0880440i | \(-0.971938\pi\) |
−0.601103 | + | 0.799172i | \(0.705272\pi\) | |||||||
\(104\) | −4.65271 | + | 2.07152i | −0.456235 | + | 0.203129i | ||||
\(105\) | 2.20457 | + | 2.96178i | 0.215144 | + | 0.289040i | ||||
\(106\) | −3.70510 | − | 1.64962i | −0.359872 | − | 0.160225i | ||||
\(107\) | 1.19151 | 0.115188 | 0.0575940 | − | 0.998340i | \(-0.481657\pi\) | ||||
0.0575940 | + | 0.998340i | \(0.481657\pi\) | |||||||
\(108\) | 3.98890 | − | 6.19760i | 0.383832 | − | 0.596365i | ||||
\(109\) | 0.597453 | + | 1.83877i | 0.0572256 | + | 0.176122i | 0.975584 | − | 0.219628i | \(-0.0704845\pi\) |
−0.918358 | + | 0.395751i | \(0.870484\pi\) | |||||||
\(110\) | −0.892285 | + | 4.85398i | −0.0850761 | + | 0.462808i | ||||
\(111\) | −2.30231 | + | 3.84352i | −0.218525 | + | 0.364810i | ||||
\(112\) | −0.791448 | − | 0.168227i | −0.0747848 | − | 0.0158960i | ||||
\(113\) | −7.86072 | − | 1.67085i | −0.739475 | − | 0.157180i | −0.177251 | − | 0.984166i | \(-0.556721\pi\) |
−0.562223 | + | 0.826985i | \(0.690054\pi\) | |||||||
\(114\) | −6.16109 | − | 0.0991575i | −0.577039 | − | 0.00928695i | ||||
\(115\) | −19.5263 | + | 2.59977i | −1.82084 | + | 0.242430i | ||||
\(116\) | −0.409200 | − | 1.25939i | −0.0379932 | − | 0.116931i | ||||
\(117\) | 1.98956 | − | 5.51290i | 0.183935 | − | 0.509668i | ||||
\(118\) | 3.65924 | 0.336861 | ||||||||
\(119\) | 5.94163 | + | 2.64539i | 0.544669 | + | 0.242502i | ||||
\(120\) | −7.42472 | + | 6.84217i | −0.677781 | + | 0.624602i | ||||
\(121\) | −2.39695 | + | 1.06719i | −0.217904 | + | 0.0970172i | ||||
\(122\) | −7.82735 | + | 3.48496i | −0.708655 | + | 0.315513i | ||||
\(123\) | 4.56260 | + | 8.20479i | 0.411395 | + | 0.739801i | ||||
\(124\) | −1.88466 | − | 3.26432i | −0.169247 | − | 0.293145i | ||||
\(125\) | 10.8828 | + | 2.56224i | 0.973385 | + | 0.229174i | ||||
\(126\) | −1.80484 | + | 1.22454i | −0.160788 | + | 0.109091i | ||||
\(127\) | −4.50280 | + | 13.8582i | −0.399559 | + | 1.22972i | 0.525794 | + | 0.850612i | \(0.323768\pi\) |
−0.925354 | + | 0.379105i | \(0.876232\pi\) | |||||||
\(128\) | 1.00432 | − | 9.55546i | 0.0887701 | − | 0.844591i | ||||
\(129\) | −4.98620 | + | 14.5452i | −0.439010 | + | 1.28064i | ||||
\(130\) | −1.88294 | + | 2.74831i | −0.165145 | + | 0.241042i | ||||
\(131\) | −1.41875 | − | 13.4985i | −0.123956 | − | 1.17937i | −0.862820 | − | 0.505511i | \(-0.831304\pi\) |
0.738864 | − | 0.673855i | \(-0.235363\pi\) | |||||||
\(132\) | 6.93025 | + | 1.59005i | 0.603201 | + | 0.138396i | ||||
\(133\) | −4.06272 | − | 1.80884i | −0.352282 | − | 0.156846i | ||||
\(134\) | 0.872550 | + | 2.68543i | 0.0753768 | + | 0.231986i | ||||
\(135\) | 0.239738 | − | 11.6165i | 0.0206334 | − | 0.999787i | ||||
\(136\) | −5.49604 | + | 16.9151i | −0.471282 | + | 1.45046i | ||||
\(137\) | −5.85192 | + | 6.49921i | −0.499963 | + | 0.555265i | −0.939318 | − | 0.343048i | \(-0.888541\pi\) |
0.439355 | + | 0.898314i | \(0.355207\pi\) | |||||||
\(138\) | −1.02995 | − | 11.5907i | −0.0876749 | − | 0.986665i | ||||
\(139\) | 12.6640 | + | 14.0648i | 1.07415 | + | 1.19296i | 0.980329 | + | 0.197373i | \(0.0632409\pi\) |
0.0938192 | + | 0.995589i | \(0.470092\pi\) | |||||||
\(140\) | −2.84872 | + | 1.01348i | −0.240760 | + | 0.0856545i | ||||
\(141\) | 5.68799 | − | 3.99432i | 0.479015 | − | 0.336382i | ||||
\(142\) | 0.107995 | + | 0.0480823i | 0.00906271 | + | 0.00403498i | ||||
\(143\) | 5.65417 | 0.472825 | ||||||||
\(144\) | 1.64200 | + | 1.94608i | 0.136833 | + | 0.162173i | ||||
\(145\) | −1.58936 | − | 1.35342i | −0.131989 | − | 0.112395i | ||||
\(146\) | 0.799472 | − | 7.60647i | 0.0661648 | − | 0.629516i | ||||
\(147\) | 10.3536 | − | 2.02717i | 0.853955 | − | 0.167198i | ||||
\(148\) | −2.45507 | − | 2.72663i | −0.201805 | − | 0.224127i | ||||
\(149\) | 3.03989 | − | 5.26524i | 0.249037 | − | 0.431345i | −0.714222 | − | 0.699919i | \(-0.753219\pi\) |
0.963259 | + | 0.268574i | \(0.0865525\pi\) | |||||||
\(150\) | −1.79319 | + | 6.35634i | −0.146414 | + | 0.518993i | ||||
\(151\) | 4.71367 | + | 8.16432i | 0.383593 | + | 0.664403i | 0.991573 | − | 0.129550i | \(-0.0413532\pi\) |
−0.607980 | + | 0.793952i | \(0.708020\pi\) | |||||||
\(152\) | 3.75804 | − | 11.5660i | 0.304817 | − | 0.938130i | ||||
\(153\) | −9.65791 | − | 18.0453i | −0.780795 | − | 1.45887i | ||||
\(154\) | −1.70226 | − | 1.23676i | −0.137172 | − | 0.0996612i | ||||
\(155\) | −5.22620 | − | 2.82770i | −0.419778 | − | 0.227126i | ||||
\(156\) | 3.83710 | + | 2.88329i | 0.307214 | + | 0.230848i | ||||
\(157\) | 10.2999 | − | 17.8399i | 0.822020 | − | 1.42378i | −0.0821548 | − | 0.996620i | \(-0.526180\pi\) |
0.904175 | − | 0.427162i | \(-0.140486\pi\) | |||||||
\(158\) | −0.337230 | − | 3.20853i | −0.0268285 | − | 0.255257i | ||||
\(159\) | 0.815311 | + | 9.17525i | 0.0646583 | + | 0.727645i | ||||
\(160\) | −5.65955 | − | 11.8209i | −0.447426 | − | 0.934527i | ||||
\(161\) | 2.59521 | − | 7.98723i | 0.204531 | − | 0.629482i | ||||
\(162\) | 6.84932 | + | 0.441508i | 0.538133 | + | 0.0346881i | ||||
\(163\) | −3.22118 | − | 9.91378i | −0.252302 | − | 0.776507i | −0.994349 | − | 0.106159i | \(-0.966145\pi\) |
0.742047 | − | 0.670348i | \(-0.233855\pi\) | |||||||
\(164\) | −7.52012 | + | 1.59845i | −0.587223 | + | 0.124818i | ||||
\(165\) | 10.6197 | − | 3.58669i | 0.826746 | − | 0.279224i | ||||
\(166\) | 2.46196 | + | 0.523305i | 0.191085 | + | 0.0406164i | ||||
\(167\) | 1.61643 | + | 15.3793i | 0.125083 | + | 1.19009i | 0.859408 | + | 0.511291i | \(0.170832\pi\) |
−0.734325 | + | 0.678799i | \(0.762501\pi\) | |||||||
\(168\) | −1.26413 | − | 4.11476i | −0.0975300 | − | 0.317461i | ||||
\(169\) | −8.38935 | − | 3.73518i | −0.645334 | − | 0.287321i | ||||
\(170\) | 2.73245 | + | 11.3085i | 0.209569 | + | 0.867324i | ||||
\(171\) | 6.60380 | + | 12.3388i | 0.505005 | + | 0.943574i | ||||
\(172\) | −10.1871 | − | 7.40133i | −0.776756 | − | 0.564346i | ||||
\(173\) | 14.5479 | − | 3.09226i | 1.10606 | − | 0.235100i | 0.381539 | − | 0.924353i | \(-0.375394\pi\) |
0.724521 | + | 0.689253i | \(0.242061\pi\) | |||||||
\(174\) | 0.839775 | − | 0.903009i | 0.0636632 | − | 0.0684569i | ||||
\(175\) | −2.98886 | + | 3.71311i | −0.225937 | + | 0.280685i | ||||
\(176\) | −1.22821 | + | 2.12733i | −0.0925800 | + | 0.160353i | ||||
\(177\) | −4.03908 | − | 7.26337i | −0.303596 | − | 0.545948i | ||||
\(178\) | −1.37268 | + | 13.0601i | −0.102886 | + | 0.978899i | ||||
\(179\) | −21.5801 | − | 15.6788i | −1.61297 | − | 1.17189i | −0.852954 | − | 0.521987i | \(-0.825191\pi\) |
−0.760016 | − | 0.649904i | \(-0.774809\pi\) | |||||||
\(180\) | 9.03589 | + | 2.98138i | 0.673496 | + | 0.222219i | ||||
\(181\) | 16.0289 | − | 11.6457i | 1.19142 | − | 0.865617i | 0.198007 | − | 0.980201i | \(-0.436553\pi\) |
0.993414 | + | 0.114583i | \(0.0365533\pi\) | |||||||
\(182\) | −0.710164 | − | 1.23004i | −0.0526409 | − | 0.0911767i | ||||
\(183\) | 15.5573 | + | 11.6901i | 1.15003 | + | 0.864156i | ||||
\(184\) | 22.4640 | + | 4.77486i | 1.65607 | + | 0.352008i | ||||
\(185\) | −5.54827 | − | 1.63464i | −0.407917 | − | 0.120181i | ||||
\(186\) | 1.80376 | − | 3.01123i | 0.132258 | − | 0.220794i | ||||
\(187\) | 13.2121 | − | 14.6735i | 0.966165 | − | 1.07303i | ||||
\(188\) | 1.75888 | + | 5.41326i | 0.128279 | + | 0.394803i | ||||
\(189\) | 4.42283 | + | 2.23085i | 0.321713 | + | 0.162271i | ||||
\(190\) | −1.86837 | − | 7.73244i | −0.135546 | − | 0.560970i | ||||
\(191\) | −8.03506 | + | 8.92383i | −0.581396 | + | 0.645706i | −0.960049 | − | 0.279833i | \(-0.909721\pi\) |
0.378652 | + | 0.925539i | \(0.376388\pi\) | |||||||
\(192\) | 4.41748 | − | 1.88221i | 0.318804 | − | 0.135837i | ||||
\(193\) | 12.6897 | − | 21.9792i | 0.913424 | − | 1.58210i | 0.104232 | − | 0.994553i | \(-0.466762\pi\) |
0.809192 | − | 0.587544i | \(-0.199905\pi\) | |||||||
\(194\) | 0.154848 | + | 1.47328i | 0.0111175 | + | 0.105776i | ||||
\(195\) | 7.53361 | + | 0.703937i | 0.539493 | + | 0.0504100i | ||||
\(196\) | −0.903110 | + | 8.59252i | −0.0645078 | + | 0.613751i | ||||
\(197\) | −1.37622 | − | 0.999883i | −0.0980516 | − | 0.0712387i | 0.537679 | − | 0.843150i | \(-0.319301\pi\) |
−0.635731 | + | 0.771911i | \(0.719301\pi\) | |||||||
\(198\) | 1.84242 | + | 6.35992i | 0.130935 | + | 0.451980i | ||||
\(199\) | −6.51877 | −0.462104 | −0.231052 | − | 0.972941i | \(-0.574217\pi\) | ||||
−0.231052 | + | 0.972941i | \(0.574217\pi\) | |||||||
\(200\) | −10.9525 | − | 7.06717i | −0.774461 | − | 0.499724i | ||||
\(201\) | 4.36729 | − | 4.69614i | 0.308045 | − | 0.331240i | ||||
\(202\) | −3.69249 | − | 4.10093i | −0.259803 | − | 0.288540i | ||||
\(203\) | 0.813050 | − | 0.361993i | 0.0570649 | − | 0.0254069i | ||||
\(204\) | 16.4488 | − | 3.22055i | 1.15164 | − | 0.225484i | ||||
\(205\) | −8.77928 | + | 8.35568i | −0.613172 | + | 0.583586i | ||||
\(206\) | 10.9475 | − | 7.95384i | 0.762750 | − | 0.554170i | ||||
\(207\) | −21.8699 | + | 14.8382i | −1.52007 | + | 1.03133i | ||||
\(208\) | −1.34147 | + | 0.974638i | −0.0930145 | + | 0.0675790i | ||||
\(209\) | −9.03406 | + | 10.0333i | −0.624899 | + | 0.694020i | ||||
\(210\) | −2.11411 | − | 1.85979i | −0.145887 | − | 0.128338i | ||||
\(211\) | 5.33924 | + | 5.92982i | 0.367568 | + | 0.408226i | 0.898348 | − | 0.439284i | \(-0.144768\pi\) |
−0.530780 | + | 0.847510i | \(0.678101\pi\) | |||||||
\(212\) | −7.37860 | − | 1.56837i | −0.506764 | − | 0.107716i | ||||
\(213\) | −0.0237643 | − | 0.267436i | −0.00162830 | − | 0.0183244i | ||||
\(214\) | −0.888810 | + | 0.188922i | −0.0607578 | + | 0.0129145i | ||||
\(215\) | −19.7916 | − | 1.52849i | −1.34977 | − | 0.104242i | ||||
\(216\) | −4.80281 | + | 12.6660i | −0.326790 | + | 0.861814i | ||||
\(217\) | 2.04953 | − | 1.48907i | 0.139131 | − | 0.101085i | ||||
\(218\) | −0.737219 | − | 1.27690i | −0.0499307 | − | 0.0864826i | ||||
\(219\) | −15.9808 | + | 6.80913i | −1.07988 | + | 0.460118i | ||||
\(220\) | 0.253717 | + | 9.17587i | 0.0171056 | + | 0.618637i | ||||
\(221\) | 12.1762 | − | 5.42120i | 0.819061 | − | 0.364669i | ||||
\(222\) | 1.10799 | − | 3.23212i | 0.0743634 | − | 0.216925i | ||||
\(223\) | 9.23109 | − | 1.96213i | 0.618160 | − | 0.131394i | 0.111821 | − | 0.993728i | \(-0.464332\pi\) |
0.506339 | + | 0.862335i | \(0.330998\pi\) | |||||||
\(224\) | 5.58754 | 0.373333 | ||||||||
\(225\) | 14.5963 | − | 3.45676i | 0.973084 | − | 0.230451i | ||||
\(226\) | 6.12863 | 0.407670 | ||||||||
\(227\) | 23.0879 | − | 4.90748i | 1.53240 | − | 0.325721i | 0.636955 | − | 0.770901i | \(-0.280194\pi\) |
0.895441 | + | 0.445180i | \(0.146860\pi\) | |||||||
\(228\) | −11.2472 | + | 2.20212i | −0.744864 | + | 0.145839i | ||||
\(229\) | −14.3491 | + | 6.38865i | −0.948218 | + | 0.422174i | −0.821783 | − | 0.569801i | \(-0.807020\pi\) |
−0.126435 | + | 0.991975i | \(0.540354\pi\) | |||||||
\(230\) | 14.1535 | − | 5.03533i | 0.933252 | − | 0.332020i | ||||
\(231\) | −0.575941 | + | 4.74401i | −0.0378941 | + | 0.312133i | ||||
\(232\) | 1.21688 | + | 2.10770i | 0.0798923 | + | 0.138378i | ||||
\(233\) | −1.52687 | + | 1.10933i | −0.100028 | + | 0.0726749i | −0.636675 | − | 0.771132i | \(-0.719691\pi\) |
0.536647 | + | 0.843807i | \(0.319691\pi\) | |||||||
\(234\) | −0.610006 | + | 4.42781i | −0.0398773 | + | 0.289455i | ||||
\(235\) | 6.83157 | + | 5.81744i | 0.445643 | + | 0.379488i | ||||
\(236\) | 6.65725 | − | 1.41504i | 0.433350 | − | 0.0921115i | ||||
\(237\) | −5.99649 | + | 4.21095i | −0.389514 | + | 0.273531i | ||||
\(238\) | −4.85160 | − | 1.03124i | −0.314483 | − | 0.0668454i | ||||
\(239\) | −0.959065 | − | 1.06515i | −0.0620368 | − | 0.0688988i | 0.711328 | − | 0.702861i | \(-0.248094\pi\) |
−0.773364 | + | 0.633962i | \(0.781428\pi\) | |||||||
\(240\) | −1.90132 | + | 2.68153i | −0.122729 | + | 0.173092i | ||||
\(241\) | 7.32923 | − | 8.13993i | 0.472117 | − | 0.524339i | −0.459306 | − | 0.888278i | \(-0.651902\pi\) |
0.931423 | + | 0.363939i | \(0.118568\pi\) | |||||||
\(242\) | 1.61879 | − | 1.17612i | 0.104060 | − | 0.0756039i | ||||
\(243\) | −6.68392 | − | 14.0828i | −0.428774 | − | 0.903412i | ||||
\(244\) | −12.8926 | + | 9.36704i | −0.825366 | + | 0.599663i | ||||
\(245\) | 5.88167 | + | 12.2849i | 0.375766 | + | 0.784852i | ||||
\(246\) | −4.70439 | − | 5.39694i | −0.299941 | − | 0.344096i | ||||
\(247\) | −8.32575 | + | 3.70686i | −0.529755 | + | 0.235862i | ||||
\(248\) | 4.63553 | + | 5.14828i | 0.294356 | + | 0.326916i | ||||
\(249\) | −1.67879 | − | 5.46446i | −0.106389 | − | 0.346296i | ||||
\(250\) | −8.52427 | − | 0.185768i | −0.539122 | − | 0.0117490i | ||||
\(251\) | 9.34568 | 0.589894 | 0.294947 | − | 0.955514i | \(-0.404698\pi\) | ||||
0.294947 | + | 0.955514i | \(0.404698\pi\) | |||||||
\(252\) | −2.81001 | + | 2.92575i | −0.177014 | + | 0.184305i | ||||
\(253\) | −20.6269 | − | 14.9863i | −1.29680 | − | 0.942180i | ||||
\(254\) | 1.16156 | − | 11.0515i | 0.0728825 | − | 0.693431i | ||||
\(255\) | 19.4306 | − | 17.9061i | 1.21679 | − | 1.12132i | ||||
\(256\) | 1.34548 | + | 12.8013i | 0.0840922 | + | 0.800084i | ||||
\(257\) | −3.12162 | + | 5.40681i | −0.194722 | + | 0.337268i | −0.946809 | − | 0.321795i | \(-0.895714\pi\) |
0.752088 | + | 0.659063i | \(0.229047\pi\) | |||||||
\(258\) | 1.41321 | − | 11.6406i | 0.0879828 | − | 0.724712i | ||||
\(259\) | 1.65005 | − | 1.83257i | 0.102529 | − | 0.113870i | ||||
\(260\) | −2.36285 | + | 5.72813i | −0.146538 | + | 0.355243i | ||||
\(261\) | −2.71936 | − | 0.670159i | −0.168324 | − | 0.0414818i | ||||
\(262\) | 3.19858 | + | 9.84422i | 0.197609 | + | 0.608178i | ||||
\(263\) | 1.24587 | − | 1.38368i | 0.0768239 | − | 0.0853216i | −0.703507 | − | 0.710688i | \(-0.748384\pi\) |
0.780331 | + | 0.625366i | \(0.215050\pi\) | |||||||
\(264\) | −13.0665 | − | 0.210294i | −0.804187 | − | 0.0129427i | ||||
\(265\) | −11.2039 | + | 3.98599i | −0.688253 | + | 0.244857i | ||||
\(266\) | 3.31739 | + | 0.705133i | 0.203402 | + | 0.0432345i | ||||
\(267\) | 27.4387 | − | 11.6911i | 1.67922 | − | 0.715486i | ||||
\(268\) | 2.62589 | + | 4.54818i | 0.160402 | + | 0.277824i | ||||
\(269\) | 3.89397 | − | 2.82914i | 0.237420 | − | 0.172496i | −0.462713 | − | 0.886508i | \(-0.653124\pi\) |
0.700133 | + | 0.714012i | \(0.253124\pi\) | |||||||
\(270\) | 1.66304 | + | 8.70332i | 0.101209 | + | 0.529667i | ||||
\(271\) | 18.4402 | + | 13.3976i | 1.12016 | + | 0.813846i | 0.984234 | − | 0.176873i | \(-0.0565982\pi\) |
0.135929 | + | 0.990719i | \(0.456598\pi\) | |||||||
\(272\) | −0.605273 | + | 5.75879i | −0.0367001 | + | 0.349178i | ||||
\(273\) | −1.65767 | + | 2.76735i | −0.100327 | + | 0.167488i | ||||
\(274\) | 3.33474 | − | 5.77595i | 0.201459 | − | 0.348938i | ||||
\(275\) | 7.91688 | + | 12.1132i | 0.477406 | + | 0.730451i | ||||
\(276\) | −6.35594 | − | 20.6886i | −0.382583 | − | 1.24531i | ||||
\(277\) | −7.64077 | + | 1.62410i | −0.459089 | + | 0.0975825i | −0.431650 | − | 0.902041i | \(-0.642069\pi\) |
−0.0274391 | + | 0.999623i | \(0.508735\pi\) | |||||||
\(278\) | −11.6768 | − | 8.48368i | −0.700327 | − | 0.508817i | ||||
\(279\) | −7.96809 | − | 0.256546i | −0.477037 | − | 0.0153590i | ||||
\(280\) | 4.73402 | − | 2.91055i | 0.282912 | − | 0.173938i | ||||
\(281\) | −1.44142 | − | 0.641761i | −0.0859878 | − | 0.0382842i | 0.363292 | − | 0.931675i | \(-0.381653\pi\) |
−0.449280 | + | 0.893391i | \(0.648319\pi\) | |||||||
\(282\) | −3.60963 | + | 3.88143i | −0.214950 | + | 0.231136i | ||||
\(283\) | 0.811572 | + | 7.72159i | 0.0482429 | + | 0.459001i | 0.991801 | + | 0.127793i | \(0.0407894\pi\) |
−0.943558 | + | 0.331208i | \(0.892544\pi\) | |||||||
\(284\) | 0.215068 | + | 0.0457141i | 0.0127619 | + | 0.00271263i | ||||
\(285\) | −13.2861 | + | 12.2437i | −0.787001 | + | 0.725253i | ||||
\(286\) | −4.21773 | + | 0.896506i | −0.249399 | + | 0.0530115i | ||||
\(287\) | −1.59675 | − | 4.91429i | −0.0942532 | − | 0.290081i | ||||
\(288\) | −13.8853 | − | 10.7877i | −0.818201 | − | 0.635671i | ||||
\(289\) | 9.12995 | − | 28.0991i | 0.537056 | − | 1.65289i | ||||
\(290\) | 1.40017 | + | 0.757581i | 0.0822210 | + | 0.0444867i | ||||
\(291\) | 2.75345 | − | 1.93358i | 0.161410 | − | 0.113348i | ||||
\(292\) | −1.48697 | − | 14.1476i | −0.0870184 | − | 0.827925i | ||||
\(293\) | 5.25540 | − | 9.10262i | 0.307024 | − | 0.531781i | −0.670686 | − | 0.741741i | \(-0.734000\pi\) |
0.977710 | + | 0.209961i | \(0.0673336\pi\) | |||||||
\(294\) | −7.40188 | + | 3.15380i | −0.431687 | + | 0.183934i | ||||
\(295\) | 7.77194 | − | 7.39694i | 0.452500 | − | 0.430667i | ||||
\(296\) | 5.45552 | + | 3.96367i | 0.317096 | + | 0.230383i | ||||
\(297\) | 10.5904 | − | 10.6772i | 0.614515 | − | 0.619552i | ||||
\(298\) | −1.43276 | + | 4.40960i | −0.0829978 | + | 0.255441i | ||||
\(299\) | −8.60531 | − | 14.9048i | −0.497658 | − | 0.861969i | ||||
\(300\) | −0.804332 | + | 12.2575i | −0.0464381 | + | 0.707687i | ||||
\(301\) | 4.23151 | − | 7.32919i | 0.243900 | − | 0.422447i | ||||
\(302\) | −4.81067 | − | 5.34279i | −0.276823 | − | 0.307443i | ||||
\(303\) | −4.06431 | + | 11.8560i | −0.233488 | + | 0.681108i | ||||
\(304\) | 0.413868 | − | 3.93769i | 0.0237370 | − | 0.225842i | ||||
\(305\) | −9.58002 | + | 23.2243i | −0.548550 | + | 1.32982i | ||||
\(306\) | 10.0655 | + | 11.9295i | 0.575407 | + | 0.681966i | ||||
\(307\) | 3.00205 | 0.171336 | 0.0856680 | − | 0.996324i | \(-0.472698\pi\) | ||||
0.0856680 | + | 0.996324i | \(0.472698\pi\) | |||||||
\(308\) | −3.57517 | − | 1.59177i | −0.203714 | − | 0.0906995i | ||||
\(309\) | −27.8718 | − | 12.9507i | −1.58557 | − | 0.736738i | ||||
\(310\) | 4.34683 | + | 1.28067i | 0.246883 | + | 0.0727373i | ||||
\(311\) | −9.37603 | − | 10.4131i | −0.531666 | − | 0.590475i | 0.416149 | − | 0.909297i | \(-0.363380\pi\) |
−0.947815 | + | 0.318822i | \(0.896713\pi\) | |||||||
\(312\) | −7.99994 | − | 3.71719i | −0.452908 | − | 0.210445i | ||||
\(313\) | −3.71665 | + | 4.12776i | −0.210077 | + | 0.233315i | −0.838970 | − | 0.544178i | \(-0.816842\pi\) |
0.628893 | + | 0.777492i | \(0.283508\pi\) | |||||||
\(314\) | −4.85456 | + | 14.9408i | −0.273959 | + | 0.843158i | ||||
\(315\) | −1.35801 | + | 6.24921i | −0.0765150 | + | 0.352103i | ||||
\(316\) | −1.85427 | − | 5.70685i | −0.104311 | − | 0.321036i | ||||
\(317\) | 4.15158 | + | 1.84840i | 0.233176 | + | 0.103817i | 0.519999 | − | 0.854167i | \(-0.325932\pi\) |
−0.286823 | + | 0.957984i | \(0.592599\pi\) | |||||||
\(318\) | −2.06298 | − | 6.71500i | −0.115686 | − | 0.376559i | ||||
\(319\) | −0.282427 | − | 2.68712i | −0.0158129 | − | 0.150450i | ||||
\(320\) | 3.78093 | + | 4.91250i | 0.211360 | + | 0.274617i | ||||
\(321\) | 1.35607 | + | 1.55570i | 0.0756884 | + | 0.0868307i | ||||
\(322\) | −0.669468 | + | 6.36956i | −0.0373080 | + | 0.354962i | ||||
\(323\) | −9.83485 | + | 30.2685i | −0.547226 | + | 1.68419i | ||||
\(324\) | 12.6317 | − | 1.84542i | 0.701760 | − | 0.102523i | ||||
\(325\) | 1.55632 | + | 9.64343i | 0.0863290 | + | 0.534921i | ||||
\(326\) | 3.97473 | + | 6.88444i | 0.220140 | + | 0.381294i | ||||
\(327\) | −1.72082 | + | 2.87278i | −0.0951617 | + | 0.158865i | ||||
\(328\) | 12.9085 | − | 5.74724i | 0.712754 | − | 0.317338i | ||||
\(329\) | −3.49476 | + | 1.55597i | −0.192672 | + | 0.0857832i | ||||
\(330\) | −7.35310 | + | 4.35932i | −0.404775 | + | 0.239973i | ||||
\(331\) | 5.29985 | + | 2.35964i | 0.291306 | + | 0.129698i | 0.547187 | − | 0.837011i | \(-0.315699\pi\) |
−0.255881 | + | 0.966708i | \(0.582365\pi\) | |||||||
\(332\) | 4.68140 | 0.256925 | ||||||||
\(333\) | −7.63855 | + | 1.36832i | −0.418590 | + | 0.0749837i | ||||
\(334\) | −3.64427 | − | 11.2159i | −0.199406 | − | 0.613708i | ||||
\(335\) | 7.28167 | + | 3.93983i | 0.397840 | + | 0.215256i | ||||
\(336\) | −0.681105 | − | 1.22481i | −0.0371573 | − | 0.0668190i | ||||
\(337\) | −4.80717 | − | 1.02179i | −0.261863 | − | 0.0556607i | 0.0751092 | − | 0.997175i | \(-0.476069\pi\) |
−0.336972 | + | 0.941515i | \(0.609403\pi\) | |||||||
\(338\) | 6.85027 | + | 1.45607i | 0.372605 | + | 0.0791997i | ||||
\(339\) | −6.76479 | − | 12.1649i | −0.367413 | − | 0.660709i | ||||
\(340\) | 9.34418 | + | 19.5169i | 0.506759 | + | 1.05845i | ||||
\(341\) | −2.37664 | − | 7.31456i | −0.128702 | − | 0.396106i | ||||
\(342\) | −6.88250 | − | 8.15707i | −0.372163 | − | 0.441084i | ||||
\(343\) | −12.4801 | −0.673861 | ||||||||
\(344\) | 21.1421 | + | 9.41305i | 1.13990 | + | 0.507518i | ||||
\(345\) | −25.6174 | − | 22.5357i | −1.37920 | − | 1.21328i | ||||
\(346\) | −10.3617 | + | 4.61334i | −0.557050 | + | 0.248015i | ||||
\(347\) | 9.10712 | − | 4.05475i | 0.488896 | − | 0.217670i | −0.147457 | − | 0.989068i | \(-0.547109\pi\) |
0.636353 | + | 0.771398i | \(0.280442\pi\) | |||||||
\(348\) | 1.17860 | − | 1.96759i | 0.0631798 | − | 0.105474i | ||||
\(349\) | 7.15701 | + | 12.3963i | 0.383106 | + | 0.663559i | 0.991504 | − | 0.130073i | \(-0.0415210\pi\) |
−0.608398 | + | 0.793632i | \(0.708188\pi\) | |||||||
\(350\) | 1.64080 | − | 3.24370i | 0.0877046 | − | 0.173383i | ||||
\(351\) | 9.46224 | − | 3.67660i | 0.505057 | − | 0.196242i | ||||
\(352\) | 5.24190 | − | 16.1329i | 0.279394 | − | 0.859887i | ||||
\(353\) | −2.64975 | + | 25.2107i | −0.141032 | + | 1.34183i | 0.663614 | + | 0.748075i | \(0.269022\pi\) |
−0.804646 | + | 0.593755i | \(0.797645\pi\) | |||||||
\(354\) | 4.16460 | + | 4.77769i | 0.221346 | + | 0.253931i | ||||
\(355\) | 0.326567 | − | 0.116182i | 0.0173324 | − | 0.00616628i | ||||
\(356\) | 2.55310 | + | 24.2911i | 0.135314 | + | 1.28743i | ||||
\(357\) | 3.30826 | + | 10.7684i | 0.175092 | + | 0.569925i | ||||
\(358\) | 18.5836 | + | 8.27396i | 0.982175 | + | 0.437293i | ||||
\(359\) | 6.35182 | + | 19.5489i | 0.335236 | + | 1.03175i | 0.966606 | + | 0.256269i | \(0.0824933\pi\) |
−0.631369 | + | 0.775482i | \(0.717507\pi\) | |||||||
\(360\) | −17.3836 | − | 1.90696i | −0.916195 | − | 0.100505i | ||||
\(361\) | 0.853463 | − | 2.62669i | 0.0449191 | − | 0.138247i | ||||
\(362\) | −10.1103 | + | 11.2286i | −0.531384 | + | 0.590162i | ||||
\(363\) | −4.12135 | − | 1.91500i | −0.216315 | − | 0.100511i | ||||
\(364\) | −1.76766 | − | 1.96319i | −0.0926506 | − | 0.102899i | ||||
\(365\) | −13.6780 | − | 17.7716i | −0.715940 | − | 0.930209i | ||||
\(366\) | −13.4585 | − | 6.25351i | −0.703486 | − | 0.326876i | ||||
\(367\) | 26.2996 | + | 11.7093i | 1.37283 | + | 0.611221i | 0.954810 | − | 0.297218i | \(-0.0960588\pi\) |
0.418016 | + | 0.908440i | \(0.362725\pi\) | |||||||
\(368\) | 7.47706 | 0.389769 | ||||||||
\(369\) | −5.51986 | + | 15.2951i | −0.287353 | + | 0.796229i | ||||
\(370\) | 4.39792 | + | 0.339648i | 0.228637 | + | 0.0176575i | ||||
\(371\) | 0.529954 | − | 5.04218i | 0.0275138 | − | 0.261777i | ||||
\(372\) | 2.11712 | − | 6.17584i | 0.109767 | − | 0.320202i | ||||
\(373\) | 7.64527 | + | 8.49093i | 0.395857 | + | 0.439644i | 0.907818 | − | 0.419365i | \(-0.137747\pi\) |
−0.511961 | + | 0.859009i | \(0.671081\pi\) | |||||||
\(374\) | −7.52898 | + | 13.0406i | −0.389314 | + | 0.674312i | ||||
\(375\) | 9.04036 | + | 17.1252i | 0.466842 | + | 0.884341i | ||||
\(376\) | −5.23057 | − | 9.05960i | −0.269746 | − | 0.467213i | ||||
\(377\) | 0.563606 | − | 1.73460i | 0.0290272 | − | 0.0893365i | ||||
\(378\) | −3.65292 | − | 0.962835i | −0.187886 | − | 0.0495229i | ||||
\(379\) | 2.90335 | + | 2.10941i | 0.149135 | + | 0.108353i | 0.659851 | − | 0.751397i | \(-0.270620\pi\) |
−0.510716 | + | 0.859750i | \(0.670620\pi\) | |||||||
\(380\) | −6.38928 | − | 13.3451i | −0.327763 | − | 0.684590i | ||||
\(381\) | −23.2186 | + | 9.89301i | −1.18953 | + | 0.506834i | ||||
\(382\) | 4.57882 | − | 7.93074i | 0.234273 | − | 0.405772i | ||||
\(383\) | −0.535221 | − | 5.09229i | −0.0273485 | − | 0.260204i | −0.999650 | − | 0.0264718i | \(-0.991573\pi\) |
0.972301 | − | 0.233732i | \(-0.0750939\pi\) | |||||||
\(384\) | 13.6191 | − | 9.56383i | 0.694996 | − | 0.488052i | ||||
\(385\) | −6.11550 | + | 0.814228i | −0.311675 | + | 0.0414969i | ||||
\(386\) | −5.98093 | + | 18.4074i | −0.304421 | + | 0.936912i | ||||
\(387\) | −24.6658 | + | 10.0438i | −1.25383 | + | 0.510554i | ||||
\(388\) | 0.851440 | + | 2.62046i | 0.0432253 | + | 0.133034i | ||||
\(389\) | −30.2263 | + | 6.42479i | −1.53253 | + | 0.325750i | −0.895491 | − | 0.445080i | \(-0.853175\pi\) |
−0.637041 | + | 0.770830i | \(0.719842\pi\) | |||||||
\(390\) | −5.73131 | + | 0.669401i | −0.290216 | + | 0.0338964i | ||||
\(391\) | −58.7886 | − | 12.4959i | −2.97307 | − | 0.631945i | ||||
\(392\) | −1.65984 | − | 15.7923i | −0.0838346 | − | 0.797633i | ||||
\(393\) | 16.0096 | − | 17.2150i | 0.807575 | − | 0.868384i | ||||
\(394\) | 1.18513 | + | 0.527653i | 0.0597059 | + | 0.0265828i | ||||
\(395\) | −7.20209 | − | 6.13296i | −0.362376 | − | 0.308583i | ||||
\(396\) | 5.81131 | + | 10.8581i | 0.292029 | + | 0.545640i | ||||
\(397\) | −5.15821 | − | 3.74766i | −0.258883 | − | 0.188090i | 0.450771 | − | 0.892639i | \(-0.351149\pi\) |
−0.709654 | + | 0.704550i | \(0.751149\pi\) | |||||||
\(398\) | 4.86268 | − | 1.03359i | 0.243744 | − | 0.0518094i | ||||
\(399\) | −2.26209 | − | 7.36313i | −0.113246 | − | 0.368618i | ||||
\(400\) | −3.96631 | − | 1.50922i | −0.198316 | − | 0.0754610i | ||||
\(401\) | 8.96136 | − | 15.5215i | 0.447509 | − | 0.775108i | −0.550714 | − | 0.834694i | \(-0.685645\pi\) |
0.998223 | + | 0.0595856i | \(0.0189779\pi\) | |||||||
\(402\) | −2.51318 | + | 4.19555i | −0.125346 | + | 0.209255i | ||||
\(403\) | 0.542672 | − | 5.16318i | 0.0270324 | − | 0.257196i | ||||
\(404\) | −8.30359 | − | 6.03291i | −0.413119 | − | 0.300149i | ||||
\(405\) | 15.4399 | − | 12.9078i | 0.767214 | − | 0.641392i | ||||
\(406\) | −0.549098 | + | 0.398943i | −0.0272513 | + | 0.0197992i | ||||
\(407\) | −3.74319 | − | 6.48340i | −0.185543 | − | 0.321370i | ||||
\(408\) | −28.3402 | + | 12.0752i | −1.40305 | + | 0.597813i | ||||
\(409\) | 37.5919 | + | 7.99041i | 1.85880 | + | 0.395101i | 0.994217 | − | 0.107387i | \(-0.0342483\pi\) |
0.864585 | + | 0.502487i | \(0.167582\pi\) | |||||||
\(410\) | 5.22406 | − | 7.62493i | 0.257998 | − | 0.376569i | ||||
\(411\) | −15.1458 | − | 0.243758i | −0.747086 | − | 0.0120237i | ||||
\(412\) | 16.8410 | − | 18.7038i | 0.829697 | − | 0.921472i | ||||
\(413\) | 1.41354 | + | 4.35042i | 0.0695556 | + | 0.214070i | ||||
\(414\) | 13.9612 | − | 14.5362i | 0.686155 | − | 0.714414i | ||||
\(415\) | 6.28683 | − | 3.86524i | 0.308608 | − | 0.189737i | ||||
\(416\) | 7.66193 | − | 8.50943i | 0.375657 | − | 0.417209i | ||||
\(417\) | −3.95072 | + | 32.5420i | −0.193468 | + | 1.59359i | ||||
\(418\) | 5.14810 | − | 8.91677i | 0.251802 | − | 0.436134i | ||||
\(419\) | −0.552525 | − | 5.25693i | −0.0269926 | − | 0.256818i | −0.999694 | − | 0.0247553i | \(-0.992119\pi\) |
0.972701 | − | 0.232062i | \(-0.0745473\pi\) | |||||||
\(420\) | −4.56538 | − | 2.56598i | −0.222768 | − | 0.125207i | ||||
\(421\) | 2.83193 | − | 26.9440i | 0.138020 | − | 1.31317i | −0.677964 | − | 0.735095i | \(-0.737137\pi\) |
0.815984 | − | 0.578075i | \(-0.196196\pi\) | |||||||
\(422\) | −4.92301 | − | 3.57678i | −0.239649 | − | 0.174115i | ||||
\(423\) | 11.6887 | + | 2.88056i | 0.568324 | + | 0.140058i | ||||
\(424\) | 13.8642 | 0.673306 | ||||||||
\(425\) | 28.6630 | + | 18.4949i | 1.39036 | + | 0.897135i | ||||
\(426\) | 0.0601306 | + | 0.195726i | 0.00291334 | + | 0.00948294i | ||||
\(427\) | −7.16686 | − | 7.95960i | −0.346829 | − | 0.385192i | ||||
\(428\) | −1.54395 | + | 0.687412i | −0.0746298 | + | 0.0332273i | ||||
\(429\) | 6.43504 | + | 7.38236i | 0.310687 | + | 0.356424i | ||||
\(430\) | 15.0059 | − | 1.99791i | 0.723647 | − | 0.0963476i | ||||
\(431\) | −28.0178 | + | 20.3561i | −1.34957 | + | 0.980518i | −0.350535 | + | 0.936550i | \(0.614000\pi\) |
−0.999033 | + | 0.0439685i | \(0.986000\pi\) | |||||||
\(432\) | −0.672127 | + | 4.35871i | −0.0323377 | + | 0.209709i | ||||
\(433\) | −7.43160 | + | 5.39937i | −0.357140 | + | 0.259477i | −0.751858 | − | 0.659325i | \(-0.770842\pi\) |
0.394718 | + | 0.918802i | \(0.370842\pi\) | |||||||
\(434\) | −1.29274 | + | 1.43574i | −0.0620537 | + | 0.0689176i | ||||
\(435\) | −0.0417631 | − | 3.61547i | −0.00200239 | − | 0.173349i | ||||
\(436\) | −1.83500 | − | 2.03798i | −0.0878806 | − | 0.0976013i | ||||
\(437\) | 40.1980 | + | 8.54434i | 1.92293 | + | 0.408731i | ||||
\(438\) | 10.8413 | − | 7.61313i | 0.518015 | − | 0.363769i | ||||
\(439\) | −7.02176 | + | 1.49252i | −0.335130 | + | 0.0712342i | −0.372403 | − | 0.928071i | \(-0.621466\pi\) |
0.0372730 | + | 0.999305i | \(0.488133\pi\) | |||||||
\(440\) | −3.96245 | − | 16.3990i | −0.188902 | − | 0.781792i | ||||
\(441\) | 14.4303 | + | 11.2111i | 0.687158 | + | 0.533862i | ||||
\(442\) | −8.22328 | + | 5.97456i | −0.391141 | + | 0.284181i | ||||
\(443\) | 12.6804 | + | 21.9630i | 0.602462 | + | 1.04349i | 0.992447 | + | 0.122673i | \(0.0391468\pi\) |
−0.389985 | + | 0.920821i | \(0.627520\pi\) | |||||||
\(444\) | 0.765893 | − | 6.30864i | 0.0363477 | − | 0.299395i | ||||
\(445\) | 23.4848 | + | 30.5135i | 1.11329 | + | 1.44648i | ||||
\(446\) | −6.57482 | + | 2.92730i | −0.311327 | + | 0.138612i | ||||
\(447\) | 10.3343 | − | 2.02337i | 0.488793 | − | 0.0957022i | ||||
\(448\) | −2.58513 | + | 0.549486i | −0.122136 | + | 0.0259608i | ||||
\(449\) | −7.13943 | −0.336930 | −0.168465 | − | 0.985708i | \(-0.553881\pi\) | ||||
−0.168465 | + | 0.985708i | \(0.553881\pi\) | |||||||
\(450\) | −10.3400 | + | 4.89290i | −0.487432 | + | 0.230654i | ||||
\(451\) | −15.6870 | −0.738672 | ||||||||
\(452\) | 11.1498 | − | 2.36996i | 0.524442 | − | 0.111474i | ||||
\(453\) | −5.29507 | + | 15.4462i | −0.248784 | + | 0.725728i | ||||
\(454\) | −16.4443 | + | 7.32147i | −0.771768 | + | 0.343613i | ||||
\(455\) | −3.99478 | − | 1.17695i | −0.187278 | − | 0.0551764i | ||||
\(456\) | 19.3782 | − | 8.25670i | 0.907468 | − | 0.386655i | ||||
\(457\) | −17.8907 | − | 30.9875i | −0.836890 | − | 1.44954i | −0.892482 | − | 0.451082i | \(-0.851038\pi\) |
0.0555925 | − | 0.998454i | \(-0.482295\pi\) | |||||||
\(458\) | 9.69078 | − | 7.04076i | 0.452820 | − | 0.328993i | ||||
\(459\) | 12.5690 | − | 33.1472i | 0.586672 | − | 1.54718i | ||||
\(460\) | 23.8022 | − | 14.6340i | 1.10978 | − | 0.682311i | ||||
\(461\) | 14.9012 | − | 3.16735i | 0.694018 | − | 0.147518i | 0.152621 | − | 0.988285i | \(-0.451229\pi\) |
0.541397 | + | 0.840767i | \(0.317895\pi\) | |||||||
\(462\) | −0.322571 | − | 3.63012i | −0.0150074 | − | 0.168888i | ||||
\(463\) | 24.3097 | + | 5.16720i | 1.12977 | + | 0.240140i | 0.734621 | − | 0.678477i | \(-0.237360\pi\) |
0.395148 | + | 0.918617i | \(0.370693\pi\) | |||||||
\(464\) | 0.530199 | + | 0.588846i | 0.0246139 | + | 0.0273365i | ||||
\(465\) | −2.25598 | − | 10.0418i | −0.104619 | − | 0.465677i | ||||
\(466\) | 0.963075 | − | 1.06960i | 0.0446136 | − | 0.0495484i | ||||
\(467\) | −21.1648 | + | 15.3771i | −0.979389 | + | 0.711568i | −0.957572 | − | 0.288194i | \(-0.906945\pi\) |
−0.0218169 | + | 0.999762i | \(0.506945\pi\) | |||||||
\(468\) | 0.602466 | + | 8.29139i | 0.0278490 | + | 0.383270i | ||||
\(469\) | −2.85561 | + | 2.07472i | −0.131860 | + | 0.0958018i | ||||
\(470\) | −6.01840 | − | 3.25633i | −0.277608 | − | 0.150203i | ||||
\(471\) | 35.0150 | − | 6.85568i | 1.61341 | − | 0.315893i | ||||
\(472\) | −11.4274 | + | 5.08780i | −0.525988 | + | 0.234185i | ||||
\(473\) | −17.1918 | − | 19.0934i | −0.790480 | − | 0.877917i | ||||
\(474\) | 3.80540 | − | 4.09194i | 0.174788 | − | 0.187949i | ||||
\(475\) | −19.5989 | − | 12.6463i | −0.899261 | − | 0.580251i | ||||
\(476\) | −9.22529 | −0.422841 | ||||||||
\(477\) | −11.0517 | + | 11.5069i | −0.506024 | + | 0.526865i | ||||
\(478\) | 0.884301 | + | 0.642482i | 0.0404470 | + | 0.0293865i | ||||
\(479\) | 1.00563 | − | 9.56794i | 0.0459484 | − | 0.437170i | −0.947229 | − | 0.320558i | \(-0.896130\pi\) |
0.993177 | − | 0.116613i | \(-0.0372036\pi\) | |||||||
\(480\) | 8.99282 | − | 20.8428i | 0.410464 | − | 0.951341i | ||||
\(481\) | −0.528235 | − | 5.02583i | −0.0240855 | − | 0.229158i | ||||
\(482\) | −4.17660 | + | 7.23408i | −0.190239 | + | 0.329503i | ||||
\(483\) | 13.3821 | − | 5.70188i | 0.608908 | − | 0.259445i | ||||
\(484\) | 2.49025 | − | 2.76571i | 0.113193 | − | 0.125714i | ||||
\(485\) | 3.30704 | + | 2.81612i | 0.150165 | + | 0.127873i | ||||
\(486\) | 7.21879 | + | 9.44528i | 0.327451 | + | 0.428447i | ||||
\(487\) | 12.1864 | + | 37.5059i | 0.552219 | + | 1.69956i | 0.703177 | + | 0.711015i | \(0.251764\pi\) |
−0.150958 | + | 0.988540i | \(0.548236\pi\) | |||||||
\(488\) | 19.5984 | − | 21.7662i | 0.887178 | − | 0.985311i | ||||
\(489\) | 9.27786 | − | 15.4887i | 0.419560 | − | 0.700421i | ||||
\(490\) | −6.33528 | − | 8.23133i | −0.286199 | − | 0.371854i | ||||
\(491\) | −9.52590 | − | 2.02479i | −0.429898 | − | 0.0913776i | −0.0121194 | − | 0.999927i | \(-0.503858\pi\) |
−0.417778 | + | 0.908549i | \(0.637191\pi\) | |||||||
\(492\) | −10.6457 | − | 7.99943i | −0.479945 | − | 0.360642i | ||||
\(493\) | −3.18461 | − | 5.51590i | −0.143427 | − | 0.248424i | ||||
\(494\) | 5.62284 | − | 4.08523i | 0.252984 | − | 0.183803i | ||||
\(495\) | 16.7693 | + | 9.78361i | 0.753726 | + | 0.439740i | ||||
\(496\) | 1.82471 | + | 1.32573i | 0.0819321 | + | 0.0595272i | ||||
\(497\) | −0.0154468 | + | 0.146967i | −0.000692886 | + | 0.00659237i | ||||
\(498\) | 2.11871 | + | 3.81003i | 0.0949419 | + | 0.170731i | ||||
\(499\) | −4.37718 | + | 7.58149i | −0.195949 | + | 0.339394i | −0.947211 | − | 0.320610i | \(-0.896112\pi\) |
0.751262 | + | 0.660004i | \(0.229445\pi\) | |||||||
\(500\) | −15.5800 | + | 2.95840i | −0.696759 | + | 0.132304i | ||||
\(501\) | −18.2403 | + | 19.6138i | −0.814918 | + | 0.876280i | ||||
\(502\) | −6.97140 | + | 1.48182i | −0.311149 | + | 0.0661368i | ||||
\(503\) | −16.1674 | − | 11.7463i | −0.720867 | − | 0.523741i | 0.165794 | − | 0.986160i | \(-0.446981\pi\) |
−0.886661 | + | 0.462420i | \(0.846981\pi\) | |||||||
\(504\) | 3.93372 | − | 6.33355i | 0.175222 | − | 0.282119i | ||||
\(505\) | −16.1323 | − | 1.24589i | −0.717880 | − | 0.0554414i | ||||
\(506\) | 17.7628 | + | 7.90850i | 0.789652 | + | 0.351576i | ||||
\(507\) | −4.67113 | − | 15.2046i | −0.207452 | − | 0.675258i | ||||
\(508\) | −2.16043 | − | 20.5551i | −0.0958535 | − | 0.911985i | ||||
\(509\) | 32.6145 | + | 6.93243i | 1.44561 | + | 0.307274i | 0.862888 | − | 0.505395i | \(-0.168653\pi\) |
0.582725 | + | 0.812670i | \(0.301987\pi\) | |||||||
\(510\) | −11.6551 | + | 16.4379i | −0.516098 | + | 0.727882i | ||||
\(511\) | 9.35204 | − | 1.98784i | 0.413710 | − | 0.0879368i | ||||
\(512\) | 2.90473 | + | 8.93985i | 0.128372 | + | 0.395089i | ||||
\(513\) | −8.59435 | + | 22.6651i | −0.379450 | + | 1.00069i | ||||
\(514\) | 1.47129 | − | 4.52816i | 0.0648958 | − | 0.199729i | ||||
\(515\) | 7.17344 | − | 39.0231i | 0.316100 | − | 1.71956i | ||||
\(516\) | −1.93041 | − | 21.7242i | −0.0849815 | − | 0.956355i | ||||
\(517\) | 1.21397 | + | 11.5501i | 0.0533902 | + | 0.507974i | ||||
\(518\) | −0.940290 | + | 1.62863i | −0.0413140 | + | 0.0715579i | ||||
\(519\) | 20.5945 | + | 15.4752i | 0.903998 | + | 0.679285i | ||||
\(520\) | 2.05897 | − | 11.2007i | 0.0902918 | − | 0.491182i | ||||
\(521\) | −18.9750 | − | 13.7861i | −0.831308 | − | 0.603981i | 0.0886210 | − | 0.996065i | \(-0.471754\pi\) |
−0.919929 | + | 0.392085i | \(0.871754\pi\) | |||||||
\(522\) | 2.13476 | + | 0.0687322i | 0.0934361 | + | 0.00300833i | ||||
\(523\) | 6.59815 | − | 20.3070i | 0.288517 | − | 0.887963i | −0.696806 | − | 0.717260i | \(-0.745396\pi\) |
0.985322 | − | 0.170703i | \(-0.0546040\pi\) | |||||||
\(524\) | 9.62597 | + | 16.6727i | 0.420512 | + | 0.728349i | ||||
\(525\) | −8.24965 | + | 0.323504i | −0.360044 | + | 0.0141189i | ||||
\(526\) | −0.709968 | + | 1.22970i | −0.0309561 | + | 0.0536175i | ||||
\(527\) | −12.1313 | − | 13.4731i | −0.528446 | − | 0.586899i | ||||
\(528\) | −4.17537 | + | 0.817507i | −0.181710 | + | 0.0355774i | ||||
\(529\) | −5.70803 | + | 54.3082i | −0.248175 | + | 2.36123i | ||||
\(530\) | 7.72558 | − | 4.74981i | 0.335578 | − | 0.206318i | ||||
\(531\) | 4.88651 | − | 13.5401i | 0.212056 | − | 0.587590i | ||||
\(532\) | 6.30799 | 0.273486 | ||||||||
\(533\) | −9.67366 | − | 4.30699i | −0.419013 | − | 0.186557i | ||||
\(534\) | −18.6142 | + | 13.0716i | −0.805515 | + | 0.565663i | ||||
\(535\) | −1.50587 | + | 2.19793i | −0.0651042 | + | 0.0950249i | ||||
\(536\) | −6.45869 | − | 7.17310i | −0.278973 | − | 0.309831i | ||||
\(537\) | −4.08934 | − | 46.0201i | −0.176468 | − | 1.98592i | ||||
\(538\) | −2.45613 | + | 2.72781i | −0.105891 | + | 0.117604i | ||||
\(539\) | −5.44763 | + | 16.7661i | −0.234646 | + | 0.722167i | ||||
\(540\) | 6.39116 | + | 15.1908i | 0.275032 | + | 0.653709i | ||||
\(541\) | 10.3808 | + | 31.9488i | 0.446305 | + | 1.37358i | 0.881047 | + | 0.473029i | \(0.156840\pi\) |
−0.434742 | + | 0.900555i | \(0.643160\pi\) | |||||||
\(542\) | −15.8797 | − | 7.07012i | −0.682093 | − | 0.303687i | ||||
\(543\) | 33.4478 | + | 7.67411i | 1.43538 | + | 0.329328i | ||||
\(544\) | −4.17979 | − | 39.7680i | −0.179207 | − | 1.70504i | ||||
\(545\) | −4.14697 | − | 1.22179i | −0.177637 | − | 0.0523357i | ||||
\(546\) | 0.797759 | − | 2.32714i | 0.0341409 | − | 0.0995924i | ||||
\(547\) | −3.47767 | + | 33.0878i | −0.148694 | + | 1.41473i | 0.624729 | + | 0.780842i | \(0.285210\pi\) |
−0.773423 | + | 0.633890i | \(0.781457\pi\) | |||||||
\(548\) | 3.83331 | − | 11.7977i | 0.163751 | − | 0.503974i | ||||
\(549\) | 2.44266 | + | 33.6169i | 0.104250 | + | 1.43473i | ||||
\(550\) | −7.82621 | − | 7.78053i | −0.333711 | − | 0.331763i | ||||
\(551\) | 2.17754 | + | 3.77161i | 0.0927664 | + | 0.160676i | ||||
\(552\) | 19.3321 | + | 34.7643i | 0.822827 | + | 1.47967i | ||||
\(553\) | 3.68430 | − | 1.64036i | 0.156672 | − | 0.0697550i | ||||
\(554\) | 5.44212 | − | 2.42299i | 0.231214 | − | 0.102943i | ||||
\(555\) | −4.18025 | − | 9.10449i | −0.177442 | − | 0.386464i | ||||
\(556\) | −24.5242 | − | 10.9189i | −1.04006 | − | 0.463064i | ||||
\(557\) | 29.7702 | 1.26140 | 0.630702 | − | 0.776025i | \(-0.282767\pi\) | ||||
0.630702 | + | 0.776025i | \(0.282767\pi\) | |||||||
\(558\) | 5.98447 | − | 1.07202i | 0.253343 | − | 0.0453823i | ||||
\(559\) | −5.35937 | − | 16.4945i | −0.226677 | − | 0.697641i | ||||
\(560\) | 1.31057 | − | 1.24734i | 0.0553818 | − | 0.0527096i | ||||
\(561\) | 34.1952 | + | 0.550343i | 1.44372 | + | 0.0232355i | ||||
\(562\) | 1.17698 | + | 0.250175i | 0.0496479 | + | 0.0105530i | ||||
\(563\) | −23.2130 | − | 4.93408i | −0.978312 | − | 0.207947i | −0.309109 | − | 0.951027i | \(-0.600031\pi\) |
−0.669203 | + | 0.743080i | \(0.733364\pi\) | |||||||
\(564\) | −5.06603 | + | 8.45733i | −0.213318 | + | 0.356118i | ||||
\(565\) | 13.0167 | − | 12.3887i | 0.547617 | − | 0.521195i | ||||
\(566\) | −1.82970 | − | 5.63124i | −0.0769080 | − | 0.236699i | ||||
\(567\) | 2.12094 | + | 8.31360i | 0.0890709 | + | 0.349138i | ||||
\(568\) | −0.404108 | −0.0169560 | ||||||||
\(569\) | 26.6550 | + | 11.8676i | 1.11744 | + | 0.497515i | 0.880517 | − | 0.474014i | \(-0.157195\pi\) |
0.236920 | + | 0.971529i | \(0.423862\pi\) | |||||||
\(570\) | 7.96945 | − | 11.2398i | 0.333804 | − | 0.470782i | ||||
\(571\) | −2.43726 | + | 1.08514i | −0.101996 | + | 0.0454116i | −0.457100 | − | 0.889415i | \(-0.651112\pi\) |
0.355104 | + | 0.934827i | \(0.384445\pi\) | |||||||
\(572\) | −7.32662 | + | 3.26202i | −0.306341 | + | 0.136392i | ||||
\(573\) | −20.7961 | − | 0.334696i | −0.868771 | − | 0.0139821i | ||||
\(574\) | 1.97029 | + | 3.41264i | 0.0822382 | + | 0.142441i | ||||
\(575\) | 19.8822 | − | 39.3050i | 0.829145 | − | 1.63913i | ||||
\(576\) | 7.48506 | + | 3.62553i | 0.311877 | + | 0.151064i | ||||
\(577\) | −10.1294 | + | 31.1750i | −0.421692 | + | 1.29783i | 0.484435 | + | 0.874827i | \(0.339025\pi\) |
−0.906127 | + | 0.423007i | \(0.860975\pi\) | |||||||
\(578\) | −2.35519 | + | 22.4081i | −0.0979630 | + | 0.932055i | ||||
\(579\) | 43.1393 | − | 8.44636i | 1.79281 | − | 0.351019i | ||||
\(580\) | 2.84029 | + | 0.836813i | 0.117937 | + | 0.0347468i | ||||
\(581\) | 0.328885 | + | 3.12913i | 0.0136445 | + | 0.129818i | ||||
\(582\) | −1.74736 | + | 1.87893i | −0.0724303 | + | 0.0778841i | ||||
\(583\) | −14.0611 | − | 6.26040i | −0.582351 | − | 0.259279i | ||||
\(584\) | 8.07935 | + | 24.8657i | 0.334326 | + | 1.02895i | ||||
\(585\) | 7.65494 | + | 10.6374i | 0.316493 | + | 0.439802i | ||||
\(586\) | −2.47698 | + | 7.62337i | −0.102323 | + | 0.314919i | ||||
\(587\) | −2.85518 | + | 3.17100i | −0.117846 | + | 0.130881i | −0.799181 | − | 0.601091i | \(-0.794733\pi\) |
0.681335 | + | 0.731972i | \(0.261400\pi\) | |||||||
\(588\) | −12.2466 | + | 8.60004i | −0.505043 | + | 0.354660i | ||||
\(589\) | 8.29501 | + | 9.21254i | 0.341790 | + | 0.379596i | ||||
\(590\) | −4.62464 | + | 6.75004i | −0.190394 | + | 0.277895i | ||||
\(591\) | −0.260788 | − | 2.93483i | −0.0107274 | − | 0.120723i | ||||
\(592\) | 2.00566 | + | 0.892978i | 0.0824322 | + | 0.0367012i | ||||
\(593\) | −7.81313 | −0.320847 | −0.160423 | − | 0.987048i | \(-0.551286\pi\) | ||||
−0.160423 | + | 0.987048i | \(0.551286\pi\) | |||||||
\(594\) | −6.20695 | + | 9.64380i | −0.254674 | + | 0.395690i | ||||
\(595\) | −12.3890 | + | 7.61695i | −0.507900 | + | 0.312265i | ||||
\(596\) | −0.901418 | + | 8.57642i | −0.0369235 | + | 0.351304i | ||||
\(597\) | −7.41905 | − | 8.51123i | −0.303642 | − | 0.348341i | ||||
\(598\) | 8.78239 | + | 9.75383i | 0.359139 | + | 0.398864i | ||||
\(599\) | 22.2102 | − | 38.4691i | 0.907483 | − | 1.57181i | 0.0899331 | − | 0.995948i | \(-0.471335\pi\) |
0.817550 | − | 0.575858i | \(-0.195332\pi\) | |||||||
\(600\) | −3.23790 | − | 22.3433i | −0.132187 | − | 0.912163i | ||||
\(601\) | −7.98356 | − | 13.8279i | −0.325656 | − | 0.564053i | 0.655989 | − | 0.754771i | \(-0.272252\pi\) |
−0.981645 | + | 0.190718i | \(0.938919\pi\) | |||||||
\(602\) | −1.99440 | + | 6.13814i | −0.0812858 | + | 0.250172i | ||||
\(603\) | 11.1019 | + | 0.357445i | 0.452106 | + | 0.0145563i | ||||
\(604\) | −10.8181 | − | 7.85982i | −0.440183 | − | 0.319811i | ||||
\(605\) | 1.06073 | − | 5.77028i | 0.0431246 | − | 0.234595i | ||||
\(606\) | 1.15193 | − | 9.48839i | 0.0467938 | − | 0.385439i | ||||
\(607\) | −5.79724 | + | 10.0411i | −0.235303 | + | 0.407557i | −0.959361 | − | 0.282183i | \(-0.908942\pi\) |
0.724058 | + | 0.689739i | \(0.242275\pi\) | |||||||
\(608\) | 2.85802 | + | 27.1922i | 0.115908 | + | 1.10279i | ||||
\(609\) | 1.39797 | + | 0.649571i | 0.0566487 | + | 0.0263219i | ||||
\(610\) | 3.46385 | − | 18.8431i | 0.140247 | − | 0.762936i | ||||
\(611\) | −2.42257 | + | 7.45589i | −0.0980065 | + | 0.301633i | ||||
\(612\) | 22.9253 | + | 17.8110i | 0.926702 | + | 0.719967i | ||||
\(613\) | 0.0509077 | + | 0.156678i | 0.00205614 | + | 0.00632816i | 0.952079 | − | 0.305851i | \(-0.0989410\pi\) |
−0.950023 | + | 0.312179i | \(0.898941\pi\) | |||||||
\(614\) | −2.23938 | + | 0.475994i | −0.0903739 | + | 0.0192096i | ||||
\(615\) | −20.9013 | − | 1.95301i | −0.842823 | − | 0.0787530i | ||||
\(616\) | 7.03554 | + | 1.49545i | 0.283470 | + | 0.0602534i | ||||
\(617\) | −3.76370 | − | 35.8092i | −0.151521 | − | 1.44162i | −0.760965 | − | 0.648794i | \(-0.775274\pi\) |
0.609444 | − | 0.792829i | \(-0.291393\pi\) | |||||||
\(618\) | 22.8443 | + | 5.24131i | 0.918934 | + | 0.210836i | ||||
\(619\) | −43.6439 | − | 19.4315i | −1.75420 | − | 0.781019i | −0.990840 | − | 0.135043i | \(-0.956883\pi\) |
−0.763358 | − | 0.645976i | \(-0.776451\pi\) | |||||||
\(620\) | 8.40342 | + | 0.648990i | 0.337489 | + | 0.0260641i | ||||
\(621\) | −44.2638 | − | 11.6670i | −1.77624 | − | 0.468181i | ||||
\(622\) | 8.64512 | + | 6.28105i | 0.346638 | + | 0.251847i | ||||
\(623\) | −16.0573 | + | 3.41308i | −0.643321 | + | 0.136742i | ||||
\(624\) | −2.79927 | − | 0.642252i | −0.112061 | − | 0.0257107i | ||||
\(625\) | −18.4804 | + | 16.8367i | −0.739215 | + | 0.673470i | ||||
\(626\) | 2.11795 | − | 3.66840i | 0.0846503 | − | 0.146619i | ||||
\(627\) | −23.3817 | − | 0.376309i | −0.933776 | − | 0.0150283i | ||||
\(628\) | −3.05423 | + | 29.0590i | −0.121877 | + | 1.15958i | ||||
\(629\) | −14.2772 | − | 10.3730i | −0.569269 | − | 0.413598i | ||||
\(630\) | 0.0221514 | − | 4.87692i | 0.000882534 | − | 0.194301i | ||||
\(631\) | −12.6855 | + | 9.21654i | −0.505001 | + | 0.366905i | −0.810924 | − | 0.585152i | \(-0.801035\pi\) |
0.305923 | + | 0.952056i | \(0.401035\pi\) | |||||||
\(632\) | 5.51425 | + | 9.55096i | 0.219345 | + | 0.379917i | ||||
\(633\) | −1.66565 | + | 13.7199i | −0.0662037 | + | 0.545318i | ||||
\(634\) | −3.38994 | − | 0.720555i | −0.134632 | − | 0.0286169i | ||||
\(635\) | −19.8728 | − | 25.8205i | −0.788629 | − | 1.02465i | ||||
\(636\) | −6.34988 | − | 11.4188i | −0.251789 | − | 0.452786i | ||||
\(637\) | −7.96265 | + | 8.84341i | −0.315492 | + | 0.350389i | ||||
\(638\) | 0.636737 | + | 1.95967i | 0.0252087 | + | 0.0775843i | ||||
\(639\) | 0.322131 | − | 0.335398i | 0.0127433 | − | 0.0132681i | ||||
\(640\) | 16.3572 | + | 13.9290i | 0.646576 | + | 0.550594i | ||||
\(641\) | −24.8019 | + | 27.5453i | −0.979616 | + | 1.08797i | 0.0164943 | + | 0.999864i | \(0.494749\pi\) |
−0.996111 | + | 0.0881103i | \(0.971917\pi\) | |||||||
\(642\) | −1.25823 | − | 0.945460i | −0.0496582 | − | 0.0373143i | ||||
\(643\) | 3.29095 | − | 5.70009i | 0.129782 | − | 0.224790i | −0.793810 | − | 0.608166i | \(-0.791905\pi\) |
0.923592 | + | 0.383376i | \(0.125239\pi\) | |||||||
\(644\) | 1.24517 | + | 11.8470i | 0.0490666 | + | 0.466838i | ||||
\(645\) | −20.5292 | − | 27.5804i | −0.808337 | − | 1.08598i | ||||
\(646\) | 2.53703 | − | 24.1382i | 0.0998180 | − | 0.949705i | ||||
\(647\) | 2.22736 | + | 1.61827i | 0.0875666 | + | 0.0636209i | 0.630707 | − | 0.776021i | \(-0.282765\pi\) |
−0.543141 | + | 0.839642i | \(0.682765\pi\) | |||||||
\(648\) | −22.0035 | + | 8.14449i | −0.864378 | + | 0.319946i | ||||
\(649\) | 13.8871 | 0.545115 | ||||||||
\(650\) | −2.68996 | − | 6.94675i | −0.105509 | − | 0.272474i | ||||
\(651\) | 4.27678 | + | 0.981246i | 0.167620 | + | 0.0384581i | ||||
\(652\) | 9.89346 | + | 10.9878i | 0.387458 | + | 0.430316i | ||||
\(653\) | 5.91127 | − | 2.63187i | 0.231326 | − | 0.102993i | −0.287801 | − | 0.957690i | \(-0.592924\pi\) |
0.519126 | + | 0.854697i | \(0.326257\pi\) | |||||||
\(654\) | 0.828150 | − | 2.41579i | 0.0323832 | − | 0.0944650i | ||||
\(655\) | 26.6930 | + | 14.4426i | 1.04298 | + | 0.564319i | ||||
\(656\) | 3.72180 | − | 2.70405i | 0.145312 | − | 0.105575i | ||||
\(657\) | −27.0782 | − | 13.1158i | −1.05642 | − | 0.511697i | ||||
\(658\) | 2.36020 | − | 1.71479i | 0.0920103 | − | 0.0668494i | ||||
\(659\) | 6.54526 | − | 7.26924i | 0.254967 | − | 0.283170i | −0.602049 | − | 0.798459i | \(-0.705649\pi\) |
0.857016 | + | 0.515289i | \(0.172316\pi\) | |||||||
\(660\) | −11.6917 | + | 10.7744i | −0.455099 | + | 0.419392i | ||||
\(661\) | −0.222630 | − | 0.247256i | −0.00865932 | − | 0.00961714i | 0.738800 | − | 0.673925i | \(-0.235393\pi\) |
−0.747459 | + | 0.664308i | \(0.768726\pi\) | |||||||
\(662\) | −4.32756 | − | 0.919851i | −0.168195 | − | 0.0357510i | ||||
\(663\) | 20.9360 | + | 9.72796i | 0.813087 | + | 0.377803i | ||||
\(664\) | −8.41601 | + | 1.78888i | −0.326604 | + | 0.0694219i | ||||
\(665\) | 8.47125 | − | 5.20826i | 0.328501 | − | 0.201967i | ||||
\(666\) | 5.48102 | − | 2.23184i | 0.212385 | − | 0.0864821i | ||||
\(667\) | −6.65361 | + | 4.83413i | −0.257629 | + | 0.187178i | ||||
\(668\) | −10.9673 | − | 18.9958i | −0.424336 | − | 0.734971i | ||||
\(669\) | 13.0678 | + | 9.81945i | 0.505230 | + | 0.379642i | ||||
\(670\) | −6.05644 | − | 1.78436i | −0.233981 | − | 0.0689360i | ||||
\(671\) | −29.7053 | + | 13.2256i | −1.14676 | + | 0.510570i | ||||
\(672\) | 6.35921 | + | 7.29536i | 0.245312 | + | 0.281425i | ||||
\(673\) | 6.03084 | − | 1.28189i | 0.232472 | − | 0.0494134i | −0.0902026 | − | 0.995923i | \(-0.528751\pi\) |
0.322674 | + | 0.946510i | \(0.395418\pi\) | |||||||
\(674\) | 3.74792 | 0.144364 | ||||||||
\(675\) | 21.1254 | + | 15.1234i | 0.813117 | + | 0.582101i | ||||
\(676\) | 13.0257 | 0.500990 | ||||||||
\(677\) | 14.2930 | − | 3.03808i | 0.549326 | − | 0.116763i | 0.0751165 | − | 0.997175i | \(-0.476067\pi\) |
0.474210 | + | 0.880412i | \(0.342734\pi\) | |||||||
\(678\) | 6.97502 | + | 8.00183i | 0.267874 | + | 0.307309i | ||||
\(679\) | −1.69175 | + | 0.753215i | −0.0649233 | + | 0.0289057i | ||||
\(680\) | −24.2564 | − | 31.5160i | −0.930192 | − | 1.20858i | ||||
\(681\) | 32.6839 | + | 24.5594i | 1.25245 | + | 0.941119i | ||||
\(682\) | 2.93263 | + | 5.07946i | 0.112296 | + | 0.194503i | ||||
\(683\) | 16.7839 | − | 12.1942i | 0.642217 | − | 0.466598i | −0.218394 | − | 0.975861i | \(-0.570082\pi\) |
0.860611 | + | 0.509263i | \(0.170082\pi\) | |||||||
\(684\) | −15.6757 | − | 12.1786i | −0.599375 | − | 0.465662i | ||||
\(685\) | −4.59300 | − | 19.0086i | −0.175490 | − | 0.726282i | ||||
\(686\) | 9.30951 | − | 1.97880i | 0.355439 | − | 0.0755509i | ||||
\(687\) | −24.6722 | − | 11.4640i | −0.941301 | − | 0.437378i | ||||
\(688\) | 7.37005 | + | 1.56655i | 0.280981 | + | 0.0597243i | ||||
\(689\) | −6.95218 | − | 7.72118i | −0.264857 | − | 0.294153i | ||||
\(690\) | 22.6825 | + | 12.7487i | 0.863508 | + | 0.485335i | ||||
\(691\) | 17.5081 | − | 19.4447i | 0.666040 | − | 0.739713i | −0.311550 | − | 0.950230i | \(-0.600848\pi\) |
0.977590 | + | 0.210517i | \(0.0675148\pi\) | |||||||
\(692\) | −17.0671 | + | 12.4000i | −0.648793 | + | 0.471376i | ||||
\(693\) | −6.84949 | + | 4.64721i | −0.260191 | + | 0.176533i | ||||
\(694\) | −6.15055 | + | 4.46863i | −0.233472 | + | 0.169627i | ||||
\(695\) | −41.9498 | + | 5.58527i | −1.59125 | + | 0.211861i | ||||
\(696\) | −1.36698 | + | 3.98761i | −0.0518152 | + | 0.151150i | ||||
\(697\) | −33.7818 | + | 15.0406i | −1.27958 | + | 0.569705i | ||||
\(698\) | −7.30429 | − | 8.11223i | −0.276471 | − | 0.307053i | ||||
\(699\) | −3.18614 | − | 0.731013i | −0.120511 | − | 0.0276495i | ||||
\(700\) | 1.73076 | − | 6.53575i | 0.0654166 | − | 0.247028i | ||||
\(701\) | −24.6481 | −0.930945 | −0.465472 | − | 0.885062i | \(-0.654116\pi\) | ||||
−0.465472 | + | 0.885062i | \(0.654116\pi\) | |||||||
\(702\) | −6.47541 | + | 4.24286i | −0.244399 | + | 0.160136i | ||||
\(703\) | 9.76234 | + | 7.09275i | 0.368193 | + | 0.267508i | ||||
\(704\) | −0.838683 | + | 7.97954i | −0.0316091 | + | 0.300740i | ||||
\(705\) | 0.179512 | + | 15.5405i | 0.00676080 | + | 0.585289i | ||||
\(706\) | −2.02074 | − | 19.2260i | −0.0760515 | − | 0.723582i | ||||
\(707\) | 3.44915 | − | 5.97411i | 0.129719 | − | 0.224679i | ||||
\(708\) | 9.42420 | + | 7.08156i | 0.354183 | + | 0.266141i | ||||
\(709\) | −18.3812 | + | 20.4144i | −0.690321 | + | 0.766680i | −0.981804 | − | 0.189897i | \(-0.939185\pi\) |
0.291483 | + | 0.956576i | \(0.405851\pi\) | |||||||
\(710\) | −0.225181 | + | 0.138445i | −0.00845091 | + | 0.00519575i | ||||
\(711\) | −12.3227 | − | 3.03679i | −0.462136 | − | 0.113889i | ||||
\(712\) | −13.8721 | − | 42.6938i | −0.519878 | − | 1.60002i | ||||
\(713\) | −15.6646 | + | 17.3973i | −0.586645 | + | 0.651535i | ||||
\(714\) | −4.17520 | − | 7.50815i | −0.156253 | − | 0.280985i | ||||
\(715\) | −7.14588 | + | 10.4300i | −0.267241 | + | 0.390059i | ||||
\(716\) | 37.0087 | + | 7.86644i | 1.38308 | + | 0.293983i | ||||
\(717\) | 0.299194 | − | 2.46445i | 0.0111736 | − | 0.0920367i | ||||
\(718\) | −7.83774 | − | 13.5754i | −0.292502 | − | 0.506628i | ||||
\(719\) | 29.6588 | − | 21.5483i | 1.10609 | − | 0.803618i | 0.124042 | − | 0.992277i | \(-0.460414\pi\) |
0.982043 | + | 0.188659i | \(0.0604141\pi\) | |||||||
\(720\) | −5.66504 | + | 0.569417i | −0.211124 | + | 0.0212209i | ||||
\(721\) | 13.6851 | + | 9.94284i | 0.509661 | + | 0.370291i | ||||
\(722\) | −0.220162 | + | 2.09470i | −0.00819358 | + | 0.0779567i | ||||
\(723\) | 18.9693 | + | 0.305295i | 0.705476 | + | 0.0113540i | ||||
\(724\) | −14.0514 | + | 24.3378i | −0.522218 | + | 0.904508i | ||||
\(725\) | 4.50526 | − | 1.22133i | 0.167321 | − | 0.0453589i | ||||
\(726\) | 3.37796 | + | 0.775023i | 0.125368 | + | 0.0287638i | ||||
\(727\) | −9.30118 | + | 1.97703i | −0.344962 | + | 0.0733239i | −0.377135 | − | 0.926158i | \(-0.623091\pi\) |
0.0321730 | + | 0.999482i | \(0.489757\pi\) | |||||||
\(728\) | 3.92800 | + | 2.85386i | 0.145581 | + | 0.105771i | ||||
\(729\) | 10.7802 | − | 24.7546i | 0.399266 | − | 0.916835i | ||||
\(730\) | 13.0209 | + | 11.0880i | 0.481925 | + | 0.410385i | ||||
\(731\) | −55.3291 | − | 24.6341i | −2.04642 | − | 0.911126i | ||||
\(732\) | −26.9032 | − | 6.17256i | −0.994372 | − | 0.228144i | ||||
\(733\) | −1.05311 | − | 10.0197i | −0.0388976 | − | 0.370086i | −0.996604 | − | 0.0823398i | \(-0.973761\pi\) |
0.957707 | − | 0.287746i | \(-0.0929059\pi\) | |||||||
\(734\) | −21.4747 | − | 4.56460i | −0.792647 | − | 0.168482i | ||||
\(735\) | −9.34577 | + | 21.6609i | −0.344724 | + | 0.798974i | ||||
\(736\) | −50.5054 | + | 10.7353i | −1.86166 | + | 0.395707i | ||||
\(737\) | 3.31138 | + | 10.1914i | 0.121976 | + | 0.375404i | ||||
\(738\) | 1.69241 | − | 12.2846i | 0.0622984 | − | 0.452201i | ||||
\(739\) | −5.85917 | + | 18.0327i | −0.215533 | + | 0.663342i | 0.783582 | + | 0.621288i | \(0.213390\pi\) |
−0.999115 | + | 0.0420544i | \(0.986610\pi\) | |||||||
\(740\) | 8.13246 | − | 1.08277i | 0.298955 | − | 0.0398034i | ||||
\(741\) | −14.3154 | − | 6.65170i | −0.525890 | − | 0.244356i | ||||
\(742\) | 0.404151 | + | 3.84524i | 0.0148368 | + | 0.141163i | ||||
\(743\) | −10.9750 | + | 19.0092i | −0.402633 | + | 0.697381i | −0.994043 | − | 0.108990i | \(-0.965238\pi\) |
0.591410 | + | 0.806371i | \(0.298572\pi\) | |||||||
\(744\) | −1.44612 | + | 11.9116i | −0.0530173 | + | 0.436702i | ||||
\(745\) | 5.87066 | + | 12.2619i | 0.215084 | + | 0.449240i | ||||
\(746\) | −7.04928 | − | 5.12160i | −0.258092 | − | 0.187515i | ||||
\(747\) | 5.22402 | − | 8.41103i | 0.191137 | − | 0.307743i | ||||
\(748\) | −8.65462 | + | 26.6362i | −0.316444 | + | 0.973915i | ||||
\(749\) | −0.567947 | − | 0.983714i | −0.0207523 | − | 0.0359441i | ||||
\(750\) | −9.45896 | − | 11.3411i | −0.345393 | − | 0.414119i | ||||
\(751\) | −6.43136 | + | 11.1394i | −0.234684 | + | 0.406484i | −0.959181 | − | 0.282794i | \(-0.908739\pi\) |
0.724497 | + | 0.689278i | \(0.242072\pi\) | |||||||
\(752\) | −2.27897 | − | 2.53105i | −0.0831055 | − | 0.0922980i | ||||
\(753\) | 10.6364 | + | 12.2022i | 0.387611 | + | 0.444672i | ||||
\(754\) | −0.145390 | + | 1.38329i | −0.00529478 | + | 0.0503764i | ||||
\(755\) | −21.0176 | − | 1.62317i | −0.764908 | − | 0.0590733i | ||||
\(756\) | −7.01809 | − | 0.339085i | −0.255245 | − | 0.0123324i | ||||
\(757\) | −3.01935 | −0.109740 | −0.0548701 | − | 0.998494i | \(-0.517474\pi\) | ||||
−0.0548701 | + | 0.998494i | \(0.517474\pi\) | |||||||
\(758\) | −2.50021 | − | 1.11317i | −0.0908118 | − | 0.0404320i | ||||
\(759\) | −3.90871 | − | 43.9874i | −0.141877 | − | 1.59664i | ||||
\(760\) | 16.5858 | + | 21.5497i | 0.601632 | + | 0.781691i | ||||
\(761\) | 28.0099 | + | 31.1081i | 1.01536 | + | 1.12767i | 0.991781 | + | 0.127947i | \(0.0408386\pi\) |
0.0235764 | + | 0.999722i | \(0.492495\pi\) | |||||||
\(762\) | 15.7513 | − | 11.0612i | 0.570610 | − | 0.400703i | ||||
\(763\) | 1.23331 | − | 1.36972i | 0.0446486 | − | 0.0495873i | ||||
\(764\) | 5.26338 | − | 16.1990i | 0.190422 | − | 0.586060i | ||||
\(765\) | 45.4931 | + | 4.99054i | 1.64481 | + | 0.180433i | ||||
\(766\) | 1.20666 | + | 3.71373i | 0.0435985 | + | 0.134183i | ||||
\(767\) | 8.56370 | + | 3.81280i | 0.309217 | + | 0.137672i | ||||
\(768\) | −15.1828 | + | 16.3260i | −0.547861 | + | 0.589114i | ||||
\(769\) | −4.91139 | − | 46.7288i | −0.177109 | − | 1.68508i | −0.616947 | − | 0.787005i | \(-0.711631\pi\) |
0.439837 | − | 0.898077i | \(-0.355036\pi\) | |||||||
\(770\) | 4.43275 | − | 1.57703i | 0.159745 | − | 0.0568320i | ||||
\(771\) | −10.6121 | + | 2.07778i | −0.382187 | + | 0.0748293i | ||||
\(772\) | −3.76288 | + | 35.8014i | −0.135429 | + | 1.28852i | ||||
\(773\) | 8.38597 | − | 25.8093i | 0.301622 | − | 0.928298i | −0.679294 | − | 0.733866i | \(-0.737714\pi\) |
0.980916 | − | 0.194431i | \(-0.0622862\pi\) | |||||||
\(774\) | 16.8069 | − | 11.4031i | 0.604112 | − | 0.409875i | ||||
\(775\) | 11.8211 | − | 6.06681i | 0.424627 | − | 0.217926i | ||||
\(776\) | −2.53202 | − | 4.38559i | −0.0908943 | − | 0.157434i | ||||
\(777\) | 4.27062 | + | 0.0687320i | 0.153208 | + | 0.00246575i | ||||
\(778\) | 21.5286 | − | 9.58514i | 0.771837 | − | 0.343644i | ||||
\(779\) | 23.0990 | − | 10.2844i | 0.827609 | − | 0.368475i | ||||
\(780\) | −10.1681 | + | 3.43416i | −0.364076 | + | 0.122962i | ||||
\(781\) | 0.409846 | + | 0.182475i | 0.0146654 | + | 0.00652948i | ||||
\(782\) | 45.8346 | 1.63904 | ||||||||
\(783\) | −2.21993 | − | 4.31324i | −0.0793337 | − | 0.154143i | ||||
\(784\) | −1.59758 | − | 4.91685i | −0.0570565 | − | 0.175602i | ||||
\(785\) | 19.8912 | + | 41.5463i | 0.709949 | + | 1.48285i | ||||
\(786\) | −9.21277 | + | 15.3800i | −0.328609 | + | 0.548586i | ||||
\(787\) | 8.70721 | + | 1.85077i | 0.310378 | + | 0.0659730i | 0.360467 | − | 0.932772i | \(-0.382617\pi\) |
−0.0500890 | + | 0.998745i | \(0.515951\pi\) | |||||||
\(788\) | 2.36015 | + | 0.501665i | 0.0840768 | + | 0.0178711i | ||||
\(789\) | 3.22454 | + | 0.0518962i | 0.114797 | + | 0.00184755i | ||||
\(790\) | 6.34482 | + | 3.43294i | 0.225738 | + | 0.122139i | ||||
\(791\) | 2.36744 | + | 7.28623i | 0.0841765 | + | 0.259069i | ||||
\(792\) | −14.5965 | − | 17.2996i | −0.518663 | − | 0.614713i | ||||
\(793\) | −21.9495 | −0.779449 | ||||||||
\(794\) | 4.44198 | + | 1.97770i | 0.157640 | + | 0.0701858i | ||||
\(795\) | −17.9556 | − | 10.0919i | −0.636818 | − | 0.357924i | ||||
\(796\) | 8.44696 | − | 3.76083i | 0.299395 | − | 0.133299i | ||||
\(797\) | 34.5778 | − | 15.3950i | 1.22481 | − | 0.545320i | 0.310590 | − | 0.950544i | \(-0.399473\pi\) |
0.914217 | + | 0.405224i | \(0.132807\pi\) | |||||||
\(798\) | 2.85488 | + | 5.13386i | 0.101062 | + | 0.181737i | ||||
\(799\) | 13.6885 | + | 23.7091i | 0.484264 | + | 0.838769i | ||||
\(800\) | 28.9582 | + | 4.49968i | 1.02383 | + | 0.159088i | ||||
\(801\) | 46.4926 | + | 22.5196i | 1.64274 | + | 0.795690i | ||||
\(802\) | −4.22368 | + | 12.9992i | −0.149143 | + | 0.459016i | ||||
\(803\) | 3.03405 | − | 28.8670i | 0.107069 | − | 1.01869i | ||||
\(804\) | −2.94978 | + | 8.60480i | −0.104031 | + | 0.303468i | ||||
\(805\) | 11.4538 | + | 14.8817i | 0.403693 | + | 0.524512i | ||||
\(806\) | 0.413850 | + | 3.93752i | 0.0145772 | + | 0.138693i | ||||
\(807\) | 8.12561 | + | 1.86430i | 0.286035 | + | 0.0656266i | ||||
\(808\) | 17.2331 | + | 7.67269i | 0.606260 | + | 0.269924i | ||||
\(809\) | 5.78411 | + | 17.8016i | 0.203358 | + | 0.625873i | 0.999777 | + | 0.0211267i | \(0.00672534\pi\) |
−0.796418 | + | 0.604746i | \(0.793275\pi\) | |||||||
\(810\) | −9.47076 | + | 12.0766i | −0.332769 | + | 0.424330i | ||||
\(811\) | 13.0270 | − | 40.0931i | 0.457441 | − | 1.40786i | −0.410804 | − | 0.911723i | \(-0.634752\pi\) |
0.868245 | − | 0.496135i | \(-0.165248\pi\) | |||||||
\(812\) | −0.844700 | + | 0.938134i | −0.0296432 | + | 0.0329221i | ||||
\(813\) | 3.49435 | + | 39.3243i | 0.122552 | + | 1.37916i | ||||
\(814\) | 3.82022 | + | 4.24278i | 0.133899 | + | 0.148709i | ||||
\(815\) | 22.3585 | + | 6.58731i | 0.783184 | + | 0.230743i | ||||
\(816\) | −8.20781 | + | 5.76383i | −0.287331 | + | 0.201774i | ||||
\(817\) | 37.8325 | + | 16.8441i | 1.32359 | + | 0.589301i | ||||
\(818\) | −29.3086 | −1.02475 | ||||||||
\(819\) | −5.49979 | + | 0.985200i | −0.192178 | + | 0.0344257i | ||||
\(820\) | 6.55552 | − | 15.8922i | 0.228929 | − | 0.554979i | ||||
\(821\) | 3.02671 | − | 28.7972i | 0.105633 | − | 1.00503i | −0.805410 | − | 0.592718i | \(-0.798055\pi\) |
0.911043 | − | 0.412311i | \(-0.135278\pi\) | |||||||
\(822\) | 11.3366 | − | 2.21963i | 0.395411 | − | 0.0774185i | ||||
\(823\) | −8.17299 | − | 9.07702i | −0.284892 | − | 0.316405i | 0.583664 | − | 0.811995i | \(-0.301618\pi\) |
−0.868557 | + | 0.495590i | \(0.834952\pi\) | |||||||
\(824\) | −23.1288 | + | 40.0603i | −0.805731 | + | 1.39557i | ||||
\(825\) | −6.80528 | + | 24.1227i | −0.236929 | + | 0.839844i | ||||
\(826\) | −1.74422 | − | 3.02107i | −0.0606890 | − | 0.105116i | ||||
\(827\) | 5.83473 | − | 17.9575i | 0.202894 | − | 0.624442i | −0.796900 | − | 0.604112i | \(-0.793528\pi\) |
0.999793 | − | 0.0203307i | \(-0.00647191\pi\) | |||||||
\(828\) | 19.7783 | − | 31.8445i | 0.687345 | − | 1.10667i | ||||
\(829\) | −10.2118 | − | 7.41933i | −0.354672 | − | 0.257684i | 0.396155 | − | 0.918184i | \(-0.370344\pi\) |
−0.750826 | + | 0.660500i | \(0.770344\pi\) | |||||||
\(830\) | −4.07680 | + | 3.88010i | −0.141508 | + | 0.134680i | ||||
\(831\) | −10.8165 | − | 8.12777i | −0.375220 | − | 0.281949i | ||||
\(832\) | −2.70804 | + | 4.69045i | −0.0938842 | + | 0.162612i | ||||
\(833\) | 4.34383 | + | 41.3288i | 0.150505 | + | 1.43196i | ||||
\(834\) | −2.21271 | − | 24.9011i | −0.0766197 | − | 0.862254i | ||||
\(835\) | −30.4124 | − | 16.4550i | −1.05247 | − | 0.569450i | ||||
\(836\) | 5.91778 | − | 18.2131i | 0.204671 | − | 0.629912i | ||||
\(837\) | −8.73356 | − | 10.6955i | −0.301876 | − | 0.369690i | ||||
\(838\) | 1.24568 | + | 3.83380i | 0.0430312 | + | 0.132436i | ||||
\(839\) | 43.0383 | − | 9.14808i | 1.48585 | − | 0.315827i | 0.607681 | − | 0.794181i | \(-0.292100\pi\) |
0.878167 | + | 0.478354i | \(0.158766\pi\) | |||||||
\(840\) | 9.18796 | + | 2.86845i | 0.317015 | + | 0.0989709i | ||||
\(841\) | 27.5138 | + | 5.84823i | 0.948751 | + | 0.201663i | ||||
\(842\) | 2.15967 | + | 20.5479i | 0.0744272 | + | 0.708127i | ||||
\(843\) | −0.802571 | − | 2.61238i | −0.0276420 | − | 0.0899750i | ||||
\(844\) | −10.3396 | − | 4.60348i | −0.355903 | − | 0.158458i | ||||
\(845\) | 17.4928 | − | 10.7548i | 0.601770 | − | 0.369977i | ||||
\(846\) | −9.17592 | − | 0.295434i | −0.315475 | − | 0.0101572i | ||||
\(847\) | 2.02360 | + | 1.47023i | 0.0695317 | + | 0.0505177i | ||||
\(848\) | 4.41519 | − | 0.938477i | 0.151618 | − | 0.0322274i | ||||
\(849\) | −9.15803 | + | 9.84761i | −0.314303 | + | 0.337969i | ||||
\(850\) | −24.3136 | − | 9.25157i | −0.833951 | − | 0.317326i | ||||
\(851\) | −11.3938 | + | 19.7347i | −0.390575 | + | 0.676496i | ||||
\(852\) | 0.185083 | + | 0.332830i | 0.00634085 | + | 0.0114026i | ||||
\(853\) | 5.01106 | − | 47.6771i | 0.171576 | − | 1.63243i | −0.482425 | − | 0.875938i | \(-0.660244\pi\) |
0.654000 | − | 0.756494i | \(-0.273090\pi\) | |||||||
\(854\) | 6.60816 | + | 4.80111i | 0.226127 | + | 0.164291i | ||||
\(855\) | −31.1069 | − | 3.41239i | −1.06383 | − | 0.116701i | ||||
\(856\) | 2.51297 | − | 1.82578i | 0.0858916 | − | 0.0624039i | ||||
\(857\) | −12.6888 | − | 21.9776i | −0.433440 | − | 0.750741i | 0.563727 | − | 0.825961i | \(-0.309367\pi\) |
−0.997167 | + | 0.0752208i | \(0.976034\pi\) | |||||||
\(858\) | −5.97074 | − | 4.48655i | −0.203838 | − | 0.153168i | ||||
\(859\) | 8.22330 | + | 1.74792i | 0.280575 | + | 0.0596382i | 0.346050 | − | 0.938216i | \(-0.387523\pi\) |
−0.0654745 | + | 0.997854i | \(0.520856\pi\) | |||||||
\(860\) | 26.5275 | − | 9.43761i | 0.904582 | − | 0.321820i | ||||
\(861\) | 4.59907 | − | 7.67777i | 0.156736 | − | 0.261658i | ||||
\(862\) | 17.6722 | − | 19.6270i | 0.601919 | − | 0.668499i | ||||
\(863\) | −9.08240 | − | 27.9528i | −0.309168 | − | 0.951523i | −0.978089 | − | 0.208189i | \(-0.933243\pi\) |
0.668920 | − | 0.743334i | \(-0.266757\pi\) | |||||||
\(864\) | −1.71803 | − | 30.4069i | −0.0584487 | − | 1.03446i | ||||
\(865\) | −12.6819 | + | 30.7440i | −0.431197 | + | 1.04533i | ||||
\(866\) | 4.68749 | − | 5.20599i | 0.159288 | − | 0.176907i | ||||
\(867\) | 47.0784 | − | 20.0592i | 1.59887 | − | 0.681247i | ||||
\(868\) | −1.79668 | + | 3.11194i | −0.0609833 | + | 0.105626i | ||||
\(869\) | −1.27981 | − | 12.1765i | −0.0434145 | − | 0.413061i | ||||
\(870\) | 0.604410 | + | 2.69034i | 0.0204914 | + | 0.0912111i | ||||
\(871\) | −0.756105 | + | 7.19386i | −0.0256197 | + | 0.243755i | ||||
\(872\) | 4.07764 | + | 2.96258i | 0.138086 | + | 0.100326i | ||||
\(873\) | 5.65829 | + | 1.39443i | 0.191504 | + | 0.0471942i | ||||
\(874\) | −31.3404 | −1.06011 | ||||||||
\(875\) | −3.07200 | − | 10.2061i | −0.103853 | − | 0.345030i | ||||
\(876\) | 16.7794 | − | 18.0429i | 0.566925 | − | 0.609613i | ||||
\(877\) | −30.6214 | − | 34.0085i | −1.03401 | − | 1.14838i | −0.988776 | − | 0.149408i | \(-0.952263\pi\) |
−0.0452341 | − | 0.998976i | \(-0.514403\pi\) | |||||||
\(878\) | 5.00123 | − | 2.22669i | 0.168783 | − | 0.0751472i | ||||
\(879\) | 17.8660 | − | 3.49803i | 0.602606 | − | 0.117986i | ||||
\(880\) | −2.37193 | − | 4.95419i | −0.0799579 | − | 0.167006i | ||||
\(881\) | 22.8783 | − | 16.6220i | 0.770789 | − | 0.560011i | −0.131412 | − | 0.991328i | \(-0.541951\pi\) |
0.902200 | + | 0.431317i | \(0.141951\pi\) | |||||||
\(882\) | −12.5419 | − | 6.07489i | −0.422307 | − | 0.204552i | ||||
\(883\) | 9.86953 | − | 7.17063i | 0.332136 | − | 0.241311i | −0.409200 | − | 0.912445i | \(-0.634192\pi\) |
0.741336 | + | 0.671134i | \(0.234192\pi\) | |||||||
\(884\) | −12.6502 | + | 14.0495i | −0.425472 | + | 0.472535i | ||||
\(885\) | 18.5031 | + | 1.72892i | 0.621975 | + | 0.0581170i | ||||
\(886\) | −12.9413 | − | 14.3728i | −0.434771 | − | 0.482862i | ||||
\(887\) | −10.8668 | − | 2.30982i | −0.364873 | − | 0.0775561i | 0.0218271 | − | 0.999762i | \(-0.493052\pi\) |
−0.386700 | + | 0.922206i | \(0.626385\pi\) | |||||||
\(888\) | 1.03380 | + | 11.6341i | 0.0346920 | + | 0.390413i | ||||
\(889\) | 13.5876 | − | 2.88814i | 0.455714 | − | 0.0968651i | ||||
\(890\) | −22.3566 | − | 19.0378i | −0.749396 | − | 0.638150i | ||||
\(891\) | 25.9936 | + | 1.67555i | 0.870818 | + | 0.0561330i | ||||
\(892\) | −10.8296 | + | 7.86813i | −0.362600 | + | 0.263445i | ||||
\(893\) | −9.35979 | − | 16.2116i | −0.313214 | − | 0.542502i | ||||
\(894\) | −7.38802 | + | 3.14790i | −0.247092 | + | 0.105281i | ||||
\(895\) | 56.1954 | − | 19.9925i | 1.87841 | − | 0.668274i | ||||
\(896\) | −8.36770 | + | 3.72554i | −0.279545 | + | 0.124461i | ||||
\(897\) | 9.66672 | − | 28.1988i | 0.322762 | − | 0.941530i | ||||
\(898\) | 5.32566 | − | 1.13200i | 0.177719 | − | 0.0377754i | ||||
\(899\) | −2.48088 | −0.0827421 | ||||||||
\(900\) | −16.9194 | + | 12.9002i | −0.563980 | + | 0.430005i | ||||
\(901\) | −36.2829 | −1.20876 | ||||||||
\(902\) | 11.7017 | − | 2.48728i | 0.389624 | − | 0.0828172i | ||||
\(903\) | 14.3852 | − | 2.81652i | 0.478711 | − | 0.0937281i | ||||
\(904\) | −19.1390 | + | 8.52122i | −0.636553 | + | 0.283412i | ||||
\(905\) | 1.22453 | + | 44.2859i | 0.0407047 | + | 1.47211i | ||||
\(906\) | 1.50076 | − | 12.3617i | 0.0498593 | − | 0.410690i | ||||
\(907\) | 20.6216 | + | 35.7176i | 0.684728 | + | 1.18598i | 0.973522 | + | 0.228593i | \(0.0734125\pi\) |
−0.288794 | + | 0.957391i | \(0.593254\pi\) | |||||||
\(908\) | −27.0858 | + | 19.6790i | −0.898874 | + | 0.653070i | ||||
\(909\) | −20.1053 | + | 8.18680i | −0.666852 | + | 0.271539i | ||||
\(910\) | 3.16652 | + | 0.244548i | 0.104969 | + | 0.00810670i | ||||
\(911\) | 11.7894 | − | 2.50591i | 0.390600 | − | 0.0830245i | −0.00842543 | − | 0.999965i | \(-0.502682\pi\) |
0.399025 | + | 0.916940i | \(0.369349\pi\) | |||||||
\(912\) | 5.61227 | − | 3.94114i | 0.185841 | − | 0.130504i | ||||
\(913\) | 9.34328 | + | 1.98598i | 0.309218 | + | 0.0657262i | ||||
\(914\) | 18.2588 | + | 20.2785i | 0.603948 | + | 0.670752i | ||||
\(915\) | −41.2258 | + | 13.9235i | −1.36288 | + | 0.460298i | ||||
\(916\) | 14.9077 | − | 16.5567i | 0.492565 | − | 0.547049i | ||||
\(917\) | −10.4681 | + | 7.60549i | −0.345686 | + | 0.251155i | ||||
\(918\) | −4.12016 | + | 26.7191i | −0.135986 | + | 0.881860i | ||||
\(919\) | 31.2727 | − | 22.7209i | 1.03159 | − | 0.749494i | 0.0629636 | − | 0.998016i | \(-0.479945\pi\) |
0.968626 | + | 0.248522i | \(0.0799448\pi\) | |||||||
\(920\) | −37.1985 | + | 35.4036i | −1.22640 | + | 1.16722i | ||||
\(921\) | 3.41665 | + | 3.91962i | 0.112582 | + | 0.129156i | ||||
\(922\) | −10.6133 | + | 4.72536i | −0.349532 | + | 0.155622i | ||||
\(923\) | 0.202639 | + | 0.225053i | 0.00666994 | + | 0.00740771i | ||||
\(924\) | −1.99063 | − | 6.47952i | −0.0654870 | − | 0.213161i | ||||
\(925\) | 10.0274 | − | 8.16874i | 0.329699 | − | 0.268586i | ||||
\(926\) | −18.9531 | −0.622839 | ||||||||
\(927\) | −14.8120 | − | 51.1299i | −0.486489 | − | 1.67933i | ||||
\(928\) | −4.42678 | − | 3.21625i | −0.145316 | − | 0.105578i | ||||
\(929\) | 4.76162 | − | 45.3038i | 0.156224 | − | 1.48637i | −0.582759 | − | 0.812645i | \(-0.698027\pi\) |
0.738983 | − | 0.673724i | \(-0.235306\pi\) | |||||||
\(930\) | 3.27504 | + | 7.13297i | 0.107393 | + | 0.233899i | ||||
\(931\) | −2.97019 | − | 28.2595i | −0.0973440 | − | 0.926167i | ||||
\(932\) | 1.33850 | − | 2.31835i | 0.0438440 | − | 0.0759401i | ||||
\(933\) | 2.92499 | − | 24.0930i | 0.0957597 | − | 0.788771i | ||||
\(934\) | 13.3497 | − | 14.8264i | 0.436816 | − | 0.485133i | ||||
\(935\) | 10.3698 | + | 42.9165i | 0.339129 | + | 1.40352i | ||||
\(936\) | −4.25143 | − | 14.6757i | −0.138962 | − | 0.479689i | ||||
\(937\) | −10.9573 | − | 33.7230i | −0.357958 | − | 1.10168i | −0.954274 | − | 0.298932i | \(-0.903370\pi\) |
0.596316 | − | 0.802750i | \(-0.296630\pi\) | |||||||
\(938\) | 1.80118 | − | 2.00041i | 0.0588107 | − | 0.0653159i | ||||
\(939\) | −9.61933 | − | 0.154815i | −0.313915 | − | 0.00505219i | ||||
\(940\) | −12.2085 | − | 3.59690i | −0.398197 | − | 0.117318i | ||||
\(941\) | −19.6924 | − | 4.18575i | −0.641954 | − | 0.136452i | −0.124578 | − | 0.992210i | \(-0.539758\pi\) |
−0.517376 | + | 0.855758i | \(0.673091\pi\) | |||||||
\(942\) | −25.0324 | + | 10.6659i | −0.815601 | + | 0.347512i | ||||
\(943\) | 23.8747 | + | 41.3521i | 0.777466 | + | 1.34661i | ||||
\(944\) | −3.29476 | + | 2.39378i | −0.107235 | + | 0.0779109i | ||||
\(945\) | −9.70483 | + | 5.33918i | −0.315698 | + | 0.173684i | ||||
\(946\) | 15.8516 | + | 11.5169i | 0.515380 | + | 0.374446i | ||||
\(947\) | 2.53012 | − | 24.0725i | 0.0822179 | − | 0.782251i | −0.873273 | − | 0.487231i | \(-0.838007\pi\) |
0.955491 | − | 0.295020i | \(-0.0953263\pi\) | |||||||
\(948\) | 5.34079 | − | 8.91602i | 0.173461 | − | 0.289579i | ||||
\(949\) | 9.79667 | − | 16.9683i | 0.318013 | − | 0.550815i | ||||
\(950\) | 16.6250 | + | 6.32596i | 0.539385 | + | 0.205241i | ||||
\(951\) | 2.31157 | + | 7.52417i | 0.0749578 | + | 0.243988i | ||||
\(952\) | 16.5848 | − | 3.52521i | 0.537517 | − | 0.114253i | ||||
\(953\) | −14.5798 | − | 10.5929i | −0.472287 | − | 0.343137i | 0.326045 | − | 0.945354i | \(-0.394284\pi\) |
−0.798332 | + | 0.602218i | \(0.794284\pi\) | |||||||
\(954\) | 6.41955 | − | 10.3359i | 0.207840 | − | 0.334637i | ||||
\(955\) | −6.30648 | − | 26.1001i | −0.204073 | − | 0.844578i | ||||
\(956\) | 1.85726 | + | 0.826904i | 0.0600680 | + | 0.0267440i | ||||
\(957\) | 3.18700 | − | 3.42697i | 0.103021 | − | 0.110778i | ||||
\(958\) | 0.766909 | + | 7.29665i | 0.0247777 | + | 0.235744i | ||||
\(959\) | 8.15512 | + | 1.73342i | 0.263343 | + | 0.0559752i | ||||
\(960\) | −2.11090 | + | 10.5275i | −0.0681291 | + | 0.339774i | ||||
\(961\) | 23.4151 | − | 4.97703i | 0.755325 | − | 0.160549i | ||||
\(962\) | 1.19091 | + | 3.66526i | 0.0383966 | + | 0.118173i | ||||
\(963\) | −0.487847 | + | 3.54110i | −0.0157206 | + | 0.114110i | ||||
\(964\) | −4.80103 | + | 14.7760i | −0.154631 | + | 0.475904i | ||||
\(965\) | 24.5065 | + | 51.1859i | 0.788891 | + | 1.64773i | ||||
\(966\) | −9.07833 | + | 6.37514i | −0.292091 | + | 0.205117i | ||||
\(967\) | 3.80122 | + | 36.1662i | 0.122239 | + | 1.16303i | 0.867913 | + | 0.496715i | \(0.165461\pi\) |
−0.745675 | + | 0.666310i | \(0.767873\pi\) | |||||||
\(968\) | −3.42002 | + | 5.92365i | −0.109924 | + | 0.190393i | ||||
\(969\) | −50.7132 | + | 21.6079i | −1.62914 | + | 0.694147i | ||||
\(970\) | −2.91340 | − | 1.57633i | −0.0935436 | − | 0.0506129i | ||||
\(971\) | 46.1160 | + | 33.5052i | 1.47993 | + | 1.07523i | 0.977578 | + | 0.210572i | \(0.0675327\pi\) |
0.502354 | + | 0.864662i | \(0.332467\pi\) | |||||||
\(972\) | 16.7856 | + | 14.3922i | 0.538400 | + | 0.461631i | ||||
\(973\) | 5.57547 | − | 17.1595i | 0.178741 | − | 0.550109i | ||||
\(974\) | −15.0373 | − | 26.0453i | −0.481825 | − | 0.834545i | ||||
\(975\) | −10.8197 | + | 13.0072i | −0.346507 | + | 0.416565i | ||||
\(976\) | 4.76792 | − | 8.25828i | 0.152617 | − | 0.264341i | ||||
\(977\) | −10.3645 | − | 11.5109i | −0.331588 | − | 0.368266i | 0.554177 | − | 0.832399i | \(-0.313033\pi\) |
−0.885766 | + | 0.464132i | \(0.846366\pi\) | |||||||
\(978\) | −4.46499 | + | 13.0248i | −0.142775 | + | 0.416488i | ||||
\(979\) | −5.20939 | + | 49.5640i | −0.166493 | + | 1.58407i | ||||
\(980\) | −14.7088 | − | 12.5254i | −0.469857 | − | 0.400108i | ||||
\(981\) | −5.70931 | + | 1.02273i | −0.182284 | + | 0.0326533i | ||||
\(982\) | 7.42689 | 0.237001 | ||||||||
\(983\) | −14.3663 | − | 6.39631i | −0.458215 | − | 0.204011i | 0.164630 | − | 0.986355i | \(-0.447357\pi\) |
−0.622846 | + | 0.782345i | \(0.714024\pi\) | |||||||
\(984\) | 22.1951 | + | 10.3130i | 0.707555 | + | 0.328767i | ||||
\(985\) | 3.58374 | − | 1.27497i | 0.114187 | − | 0.0406240i | ||||
\(986\) | 3.25014 | + | 3.60964i | 0.103505 | + | 0.114954i | ||||
\(987\) | −6.00894 | − | 2.79207i | −0.191267 | − | 0.0888726i | ||||
\(988\) | 8.64985 | − | 9.60663i | 0.275188 | − | 0.305628i | ||||
\(989\) | −24.1669 | + | 74.3780i | −0.768462 | + | 2.36508i | ||||
\(990\) | −14.0603 | − | 4.63919i | −0.446867 | − | 0.147443i | ||||
\(991\) | 6.23054 | + | 19.1756i | 0.197920 | + | 0.609134i | 0.999930 | + | 0.0118242i | \(0.00376384\pi\) |
−0.802010 | + | 0.597310i | \(0.796236\pi\) | |||||||
\(992\) | −14.2289 | − | 6.33510i | −0.451767 | − | 0.201140i | ||||
\(993\) | 2.95092 | + | 9.60526i | 0.0936446 | + | 0.304814i | ||||
\(994\) | −0.0117800 | − | 0.112079i | −0.000373639 | − | 0.00355493i | ||||
\(995\) | 8.23859 | − | 12.0249i | 0.261181 | − | 0.381214i | ||||
\(996\) | 5.32792 | + | 6.11226i | 0.168822 | + | 0.193674i | ||||
\(997\) | 4.26567 | − | 40.5852i | 0.135095 | − | 1.28534i | −0.691429 | − | 0.722444i | \(-0.743019\pi\) |
0.826525 | − | 0.562901i | \(-0.190315\pi\) | |||||||
\(998\) | 2.06306 | − | 6.34944i | 0.0653050 | − | 0.200988i | ||||
\(999\) | −10.4800 | − | 8.41596i | −0.331573 | − | 0.266269i |
(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 | 225.2.q.a.121.12 | yes | 224 | |
3.2 | odd | 2 | 675.2.r.a.496.17 | 224 | |||
9.2 | odd | 6 | 675.2.r.a.46.12 | 224 | |||
9.7 | even | 3 | inner | 225.2.q.a.196.17 | yes | 224 | |
25.6 | even | 5 | inner | 225.2.q.a.31.17 | ✓ | 224 | |
75.56 | odd | 10 | 675.2.r.a.631.12 | 224 | |||
225.56 | odd | 30 | 675.2.r.a.181.17 | 224 | |||
225.106 | even | 15 | inner | 225.2.q.a.106.12 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
225.2.q.a.31.17 | ✓ | 224 | 25.6 | even | 5 | inner | |
225.2.q.a.106.12 | yes | 224 | 225.106 | even | 15 | inner | |
225.2.q.a.121.12 | yes | 224 | 1.1 | even | 1 | trivial | |
225.2.q.a.196.17 | yes | 224 | 9.7 | even | 3 | inner | |
675.2.r.a.46.12 | 224 | 9.2 | odd | 6 | |||
675.2.r.a.181.17 | 224 | 225.56 | odd | 30 | |||
675.2.r.a.496.17 | 224 | 3.2 | odd | 2 | |||
675.2.r.a.631.12 | 224 | 75.56 | odd | 10 |