Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [731,2,Mod(22,731)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(731, base_ring=CyclotomicField(112))
chi = DirichletCharacter(H, H._module([35, 40]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("731.22");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 731 = 17 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 731.bj (of order \(112\), degree \(48\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.83706438776\) |
Analytic rank: | \(0\) |
Dimension: | \(3072\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{112})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{112}]$ |
Embedding invariants
Embedding label | 22.11 | ||
Character | \(\chi\) | \(=\) | 731.22 |
Dual form | 731.2.bj.a.432.11 |
$q$-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 \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).
\(n\) | \(173\) | \(562\) |
\(\chi(n)\) | \(e\left(\frac{5}{16}\right)\) | \(e\left(\frac{5}{14}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.12958 | − | 0.119594i | −1.50584 | − | 0.0845661i | −0.716095 | − | 0.698003i | \(-0.754072\pi\) |
−0.789744 | + | 0.613437i | \(0.789786\pi\) | |||||||
\(3\) | 1.33637 | − | 2.26548i | 0.771554 | − | 1.30797i | −0.174724 | − | 0.984618i | \(-0.555903\pi\) |
0.946277 | − | 0.323356i | \(-0.104811\pi\) | |||||||
\(4\) | 2.53337 | + | 0.285442i | 1.26669 | + | 0.142721i | ||||
\(5\) | 0.0355757 | + | 1.26797i | 0.0159100 | + | 0.567052i | 0.966509 | + | 0.256632i | \(0.0826128\pi\) |
−0.950599 | + | 0.310421i | \(0.899530\pi\) | |||||||
\(6\) | −3.11684 | + | 4.66468i | −1.27245 | + | 1.90435i | ||||
\(7\) | 0.618541 | − | 0.123035i | 0.233787 | − | 0.0465030i | −0.0768065 | − | 0.997046i | \(-0.524472\pi\) |
0.310593 | + | 0.950543i | \(0.399472\pi\) | |||||||
\(8\) | −1.15528 | − | 0.196290i | −0.408453 | − | 0.0693989i | ||||
\(9\) | −1.89534 | − | 3.42936i | −0.631780 | − | 1.14312i | ||||
\(10\) | 0.0758807 | − | 2.70449i | 0.0239956 | − | 0.855235i | ||||
\(11\) | 0.943752 | − | 0.300801i | 0.284552 | − | 0.0906949i | −0.157996 | − | 0.987440i | \(-0.550503\pi\) |
0.442548 | + | 0.896745i | \(0.354075\pi\) | |||||||
\(12\) | 4.03219 | − | 5.35784i | 1.16399 | − | 1.54667i | ||||
\(13\) | −1.74615 | + | 2.77898i | −0.484295 | + | 0.770751i | −0.996089 | − | 0.0883570i | \(-0.971838\pi\) |
0.511794 | + | 0.859108i | \(0.328981\pi\) | |||||||
\(14\) | −1.33195 | + | 0.188039i | −0.355977 | + | 0.0502557i | ||||
\(15\) | 2.92009 | + | 1.61388i | 0.753965 | + | 0.416702i | ||||
\(16\) | −2.53418 | − | 0.578411i | −0.633546 | − | 0.144603i | ||||
\(17\) | 2.65486 | − | 3.15463i | 0.643899 | − | 0.765110i | ||||
\(18\) | 3.62614 | + | 7.52976i | 0.854690 | + | 1.77478i | ||||
\(19\) | −5.33824 | − | 2.95034i | −1.22468 | − | 0.676855i | −0.266722 | − | 0.963773i | \(-0.585941\pi\) |
−0.957955 | + | 0.286918i | \(0.907369\pi\) | |||||||
\(20\) | −0.271805 | + | 3.22239i | −0.0607775 | + | 0.720548i | ||||
\(21\) | 0.547866 | − | 1.56571i | 0.119554 | − | 0.341666i | ||||
\(22\) | −2.04577 | + | 0.527711i | −0.436159 | + | 0.112508i | ||||
\(23\) | −1.49111 | − | 4.67831i | −0.310918 | − | 0.975495i | −0.973923 | − | 0.226880i | \(-0.927148\pi\) |
0.663005 | − | 0.748615i | \(-0.269281\pi\) | |||||||
\(24\) | −1.98857 | + | 2.35494i | −0.405915 | + | 0.480700i | ||||
\(25\) | 3.38566 | − | 0.190134i | 0.677132 | − | 0.0380269i | ||||
\(26\) | 4.05091 | − | 5.70923i | 0.794450 | − | 1.11967i | ||||
\(27\) | −2.41434 | − | 0.0677398i | −0.464639 | − | 0.0130365i | ||||
\(28\) | 1.60211 | − | 0.135137i | 0.302771 | − | 0.0255384i | ||||
\(29\) | 4.10956 | − | 5.46065i | 0.763126 | − | 1.01402i | −0.235980 | − | 0.971758i | \(-0.575830\pi\) |
0.999107 | − | 0.0422596i | \(-0.0134557\pi\) | |||||||
\(30\) | −6.02555 | − | 3.78611i | −1.10011 | − | 0.691245i | ||||
\(31\) | 6.63999 | − | 0.937410i | 1.19258 | − | 0.168364i | 0.484687 | − | 0.874687i | \(-0.338933\pi\) |
0.707889 | + | 0.706324i | \(0.249648\pi\) | |||||||
\(32\) | 7.57964 | + | 2.18366i | 1.33990 | + | 0.386020i | ||||
\(33\) | 0.579745 | − | 2.54003i | 0.100921 | − | 0.442162i | ||||
\(34\) | −6.03101 | + | 6.40052i | −1.03431 | + | 1.09768i | ||||
\(35\) | 0.178010 | + | 0.779913i | 0.0300892 | + | 0.131829i | ||||
\(36\) | −3.82272 | − | 9.22885i | −0.637119 | − | 1.53814i | ||||
\(37\) | −0.260848 | + | 0.174293i | −0.0428831 | + | 0.0286536i | −0.576827 | − | 0.816866i | \(-0.695709\pi\) |
0.533944 | + | 0.845520i | \(0.320709\pi\) | |||||||
\(38\) | 11.0154 | + | 6.92141i | 1.78693 | + | 1.12280i | ||||
\(39\) | 3.96222 | + | 7.66962i | 0.634463 | + | 1.22812i | ||||
\(40\) | 0.207789 | − | 1.47184i | 0.0328544 | − | 0.232718i | ||||
\(41\) | 1.04667 | − | 4.05760i | 0.163462 | − | 0.633691i | −0.833266 | − | 0.552872i | \(-0.813532\pi\) |
0.996729 | − | 0.0808195i | \(-0.0257537\pi\) | |||||||
\(42\) | −1.35397 | + | 3.26878i | −0.208923 | + | 0.504384i | ||||
\(43\) | 0.216576 | − | 6.55386i | 0.0330275 | − | 0.999454i | ||||
\(44\) | 2.47674 | − | 0.492653i | 0.373382 | − | 0.0742703i | ||||
\(45\) | 4.28089 | − | 2.52523i | 0.638157 | − | 0.376439i | ||||
\(46\) | 2.61594 | + | 10.1411i | 0.385699 | + | 1.49523i | ||||
\(47\) | 0.0334019 | − | 0.296450i | 0.00487217 | − | 0.0432417i | −0.991041 | − | 0.133559i | \(-0.957359\pi\) |
0.995913 | + | 0.0903171i | \(0.0287881\pi\) | |||||||
\(48\) | −4.69699 | + | 4.96816i | −0.677951 | + | 0.717093i | ||||
\(49\) | −6.09970 | + | 2.52658i | −0.871386 | + | 0.360940i | ||||
\(50\) | −7.23276 | −1.02287 | ||||||||
\(51\) | −3.59886 | − | 10.2303i | −0.503941 | − | 1.43253i | ||||
\(52\) | −5.21689 | + | 6.54177i | −0.723452 | + | 0.907181i | ||||
\(53\) | −0.715256 | + | 0.121527i | −0.0982480 | + | 0.0166930i | −0.216422 | − | 0.976300i | \(-0.569439\pi\) |
0.118174 | + | 0.992993i | \(0.462296\pi\) | |||||||
\(54\) | 5.13342 | + | 0.432998i | 0.698569 | + | 0.0589236i | ||||
\(55\) | 0.414981 | + | 1.18595i | 0.0559560 | + | 0.159913i | ||||
\(56\) | −0.738738 | + | 0.0207270i | −0.0987181 | + | 0.00276976i | ||||
\(57\) | −13.8178 | + | 8.15091i | −1.83021 | + | 1.07961i | ||||
\(58\) | −9.40469 | + | 11.1374i | −1.23490 | + | 1.46241i | ||||
\(59\) | 5.01583 | − | 7.06915i | 0.653005 | − | 0.920325i | −0.346840 | − | 0.937924i | \(-0.612745\pi\) |
0.999845 | + | 0.0175997i | \(0.00560245\pi\) | |||||||
\(60\) | 6.93701 | + | 4.92207i | 0.895564 | + | 0.635437i | ||||
\(61\) | −1.79430 | − | 2.38420i | −0.229736 | − | 0.305266i | 0.669428 | − | 0.742877i | \(-0.266539\pi\) |
−0.899164 | + | 0.437611i | \(0.855825\pi\) | |||||||
\(62\) | −14.2525 | + | 1.20218i | −1.81007 | + | 0.152677i | ||||
\(63\) | −1.59428 | − | 1.88801i | −0.200860 | − | 0.237866i | ||||
\(64\) | −10.9733 | − | 3.83972i | −1.37166 | − | 0.479965i | ||||
\(65\) | −3.58578 | − | 2.11520i | −0.444762 | − | 0.262358i | ||||
\(66\) | −1.53839 | + | 5.33986i | −0.189362 | + | 0.657291i | ||||
\(67\) | −10.2638 | + | 8.18512i | −1.25392 | + | 0.999971i | −0.254465 | + | 0.967082i | \(0.581899\pi\) |
−0.999459 | + | 0.0328892i | \(0.989529\pi\) | |||||||
\(68\) | 7.62622 | − | 7.23404i | 0.924815 | − | 0.877256i | ||||
\(69\) | −12.5913 | − | 2.87388i | −1.51581 | − | 0.345974i | ||||
\(70\) | −0.285813 | − | 1.68217i | −0.0341612 | − | 0.201058i | ||||
\(71\) | 7.31153 | + | 2.33039i | 0.867719 | + | 0.276567i | 0.704225 | − | 0.709977i | \(-0.251295\pi\) |
0.163494 | + | 0.986544i | \(0.447723\pi\) | |||||||
\(72\) | 1.51650 | + | 4.33391i | 0.178721 | + | 0.510756i | ||||
\(73\) | −0.0320292 | − | 1.14157i | −0.00374874 | − | 0.133610i | −0.999246 | − | 0.0388215i | \(-0.987640\pi\) |
0.995497 | − | 0.0947886i | \(-0.0302175\pi\) | |||||||
\(74\) | 0.576340 | − | 0.339974i | 0.0669982 | − | 0.0395212i | ||||
\(75\) | 4.09375 | − | 7.92422i | 0.472705 | − | 0.915010i | ||||
\(76\) | −12.6816 | − | 8.99808i | −1.45468 | − | 1.03215i | ||||
\(77\) | 0.546740 | − | 0.302173i | 0.0623069 | − | 0.0344358i | ||||
\(78\) | −7.52060 | − | 16.8069i | −0.851541 | − | 1.90301i | ||||
\(79\) | 3.82621 | + | 2.55659i | 0.430482 | + | 0.287639i | 0.751873 | − | 0.659308i | \(-0.229151\pi\) |
−0.321391 | + | 0.946946i | \(0.604151\pi\) | |||||||
\(80\) | 0.643251 | − | 3.23384i | 0.0719176 | − | 0.361554i | ||||
\(81\) | 2.87402 | − | 4.57398i | 0.319336 | − | 0.508220i | ||||
\(82\) | −2.71423 | + | 8.51580i | −0.299737 | + | 0.940413i | ||||
\(83\) | 5.56502 | − | 6.22727i | 0.610841 | − | 0.683531i | −0.357285 | − | 0.933995i | \(-0.616298\pi\) |
0.968126 | + | 0.250464i | \(0.0805832\pi\) | |||||||
\(84\) | 1.83487 | − | 3.81014i | 0.200201 | − | 0.415721i | ||||
\(85\) | 4.09442 | + | 3.25405i | 0.444102 | + | 0.352952i | ||||
\(86\) | −1.24502 | + | 13.9311i | −0.134254 | + | 1.50222i | ||||
\(87\) | −6.87908 | − | 16.6076i | −0.737515 | − | 1.78052i | ||||
\(88\) | −1.14934 | + | 0.162260i | −0.122520 | + | 0.0172970i | ||||
\(89\) | 0.669010 | + | 0.234097i | 0.0709149 | + | 0.0248142i | 0.365503 | − | 0.930810i | \(-0.380897\pi\) |
−0.294588 | + | 0.955624i | \(0.595183\pi\) | |||||||
\(90\) | −9.41849 | + | 4.86571i | −0.992796 | + | 0.512891i | ||||
\(91\) | −0.738153 | + | 1.93375i | −0.0773794 | + | 0.202713i | ||||
\(92\) | −2.44215 | − | 12.2775i | −0.254612 | − | 1.28002i | ||||
\(93\) | 6.74980 | − | 16.2955i | 0.699922 | − | 1.68976i | ||||
\(94\) | −0.106586 | + | 0.627319i | −0.0109935 | + | 0.0647030i | ||||
\(95\) | 3.55103 | − | 6.87368i | 0.364328 | − | 0.705225i | ||||
\(96\) | 15.0762 | − | 14.2533i | 1.53871 | − | 1.45472i | ||||
\(97\) | −6.63805 | + | 5.60534i | −0.673992 | + | 0.569136i | −0.916019 | − | 0.401134i | \(-0.868616\pi\) |
0.242027 | + | 0.970269i | \(0.422188\pi\) | |||||||
\(98\) | 13.2919 | − | 4.65105i | 1.34269 | − | 0.469827i | ||||
\(99\) | −2.82029 | − | 2.66635i | −0.283450 | − | 0.267978i | ||||
\(100\) | 8.63140 | + | 0.484729i | 0.863140 | + | 0.0484729i | ||||
\(101\) | −7.06617 | + | 5.63508i | −0.703110 | + | 0.560712i | −0.908457 | − | 0.417977i | \(-0.862739\pi\) |
0.205347 | + | 0.978689i | \(0.434168\pi\) | |||||||
\(102\) | 6.44056 | + | 22.2166i | 0.637711 | + | 2.19977i | ||||
\(103\) | −0.396726 | + | 1.73817i | −0.0390905 | + | 0.171267i | −0.990705 | − | 0.136027i | \(-0.956566\pi\) |
0.951615 | + | 0.307294i | \(0.0994236\pi\) | |||||||
\(104\) | 2.56278 | − | 2.86775i | 0.251301 | − | 0.281206i | ||||
\(105\) | 2.00476 | + | 0.638975i | 0.195645 | + | 0.0623576i | ||||
\(106\) | 1.53773 | − | 0.173260i | 0.149357 | − | 0.0168285i | ||||
\(107\) | −4.09808 | − | 15.8869i | −0.396176 | − | 1.53585i | −0.787923 | − | 0.615774i | \(-0.788843\pi\) |
0.391747 | − | 0.920073i | \(-0.371871\pi\) | |||||||
\(108\) | −6.09708 | − | 0.860764i | −0.586691 | − | 0.0828271i | ||||
\(109\) | 0.0657383 | + | 0.0339612i | 0.00629659 | + | 0.00325289i | 0.462127 | − | 0.886814i | \(-0.347086\pi\) |
−0.455831 | + | 0.890067i | \(0.650658\pi\) | |||||||
\(110\) | −0.741900 | − | 2.57519i | −0.0707374 | − | 0.245535i | ||||
\(111\) | 0.0462672 | + | 0.823864i | 0.00439149 | + | 0.0781977i | ||||
\(112\) | −1.63866 | − | 0.0459764i | −0.154839 | − | 0.00434436i | ||||
\(113\) | 6.87143 | + | 7.26815i | 0.646410 | + | 0.683730i | 0.964425 | − | 0.264355i | \(-0.0851592\pi\) |
−0.318015 | + | 0.948086i | \(0.603016\pi\) | |||||||
\(114\) | 30.4009 | − | 15.7055i | 2.84730 | − | 1.47095i | ||||
\(115\) | 5.87890 | − | 2.05712i | 0.548210 | − | 0.191827i | ||||
\(116\) | 11.9697 | − | 12.6608i | 1.11136 | − | 1.17553i | ||||
\(117\) | 12.8397 | + | 0.721062i | 1.18703 | + | 0.0666622i | ||||
\(118\) | −11.5270 | + | 14.4544i | −1.06115 | + | 1.33064i | ||||
\(119\) | 1.25401 | − | 2.27791i | 0.114955 | − | 0.208816i | ||||
\(120\) | −3.05673 | − | 2.43766i | −0.279040 | − | 0.222527i | ||||
\(121\) | −8.17098 | + | 5.79762i | −0.742817 | + | 0.527056i | ||||
\(122\) | 3.53595 | + | 5.29193i | 0.320130 | + | 0.479109i | ||||
\(123\) | −7.79367 | − | 7.79367i | −0.702731 | − | 0.702731i | ||||
\(124\) | 17.0891 | − | 0.479475i | 1.53465 | − | 0.0430581i | ||||
\(125\) | 0.894608 | + | 10.6060i | 0.0800162 | + | 0.948632i | ||||
\(126\) | 3.16935 | + | 4.21132i | 0.282348 | + | 0.375174i | ||||
\(127\) | −7.76716 | − | 8.69145i | −0.689224 | − | 0.771242i | 0.293572 | − | 0.955937i | \(-0.405156\pi\) |
−0.982796 | + | 0.184695i | \(0.940870\pi\) | |||||||
\(128\) | 8.33430 | + | 3.45218i | 0.736655 | + | 0.305132i | ||||
\(129\) | −14.5582 | − | 9.24903i | −1.28178 | − | 0.814332i | ||||
\(130\) | 7.38323 | + | 4.93332i | 0.647552 | + | 0.432681i | ||||
\(131\) | −1.87094 | + | 2.48604i | −0.163465 | + | 0.217207i | −0.873328 | − | 0.487133i | \(-0.838043\pi\) |
0.709863 | + | 0.704340i | \(0.248757\pi\) | |||||||
\(132\) | 2.19374 | − | 6.26936i | 0.190941 | − | 0.545677i | ||||
\(133\) | −3.66492 | − | 1.16812i | −0.317789 | − | 0.101288i | ||||
\(134\) | 22.8365 | − | 16.2033i | 1.97277 | − | 1.39976i | ||||
\(135\) | − | 3.06371i | − | 0.263682i | ||||||
\(136\) | −3.68633 | + | 3.12336i | −0.316100 | + | 0.267826i | ||||
\(137\) | −19.7207 | + | 4.50111i | −1.68485 | + | 0.384556i | −0.954428 | − | 0.298440i | \(-0.903534\pi\) |
−0.730422 | + | 0.682996i | \(0.760677\pi\) | |||||||
\(138\) | 26.4704 | + | 7.62599i | 2.25331 | + | 0.649167i | ||||
\(139\) | 13.5052 | − | 5.15520i | 1.14549 | − | 0.437258i | 0.291002 | − | 0.956722i | \(-0.406011\pi\) |
0.854492 | + | 0.519464i | \(0.173868\pi\) | |||||||
\(140\) | 0.228345 | + | 2.02662i | 0.0192987 | + | 0.171281i | ||||
\(141\) | −0.626963 | − | 0.471838i | −0.0527998 | − | 0.0397360i | ||||
\(142\) | −15.2918 | − | 5.83717i | −1.28326 | − | 0.489845i | ||||
\(143\) | −0.812013 | + | 3.14792i | −0.0679040 | + | 0.263242i | ||||
\(144\) | 2.81956 | + | 9.78692i | 0.234964 | + | 0.815577i | ||||
\(145\) | 7.07013 | + | 5.01652i | 0.587142 | + | 0.416600i | ||||
\(146\) | −0.0683162 | + | 2.43488i | −0.00565389 | + | 0.201512i | ||||
\(147\) | −2.42756 | + | 17.1952i | −0.200221 | + | 1.41823i | ||||
\(148\) | −0.710575 | + | 0.367092i | −0.0584089 | + | 0.0301747i | ||||
\(149\) | −0.171040 | − | 1.51802i | −0.0140121 | − | 0.124361i | 0.984759 | − | 0.173926i | \(-0.0556452\pi\) |
−0.998771 | + | 0.0495645i | \(0.984217\pi\) | |||||||
\(150\) | −9.66564 | + | 16.3856i | −0.789197 | + | 1.33788i | ||||
\(151\) | 17.1579 | + | 15.3332i | 1.39629 | + | 1.24780i | 0.932166 | + | 0.362030i | \(0.117916\pi\) |
0.464123 | + | 0.885771i | \(0.346370\pi\) | |||||||
\(152\) | 5.58804 | + | 4.45631i | 0.453250 | + | 0.361455i | ||||
\(153\) | −15.8502 | − | 3.12539i | −1.28142 | − | 0.252673i | ||||
\(154\) | −1.20046 | + | 0.578113i | −0.0967362 | + | 0.0465857i | ||||
\(155\) | 1.42483 | + | 8.38594i | 0.114445 | + | 0.673575i | ||||
\(156\) | 7.84853 | + | 20.5610i | 0.628386 | + | 1.64620i | ||||
\(157\) | −1.91982 | + | 17.0389i | −0.153218 | + | 1.35985i | 0.648075 | + | 0.761577i | \(0.275574\pi\) |
−0.801293 | + | 0.598272i | \(0.795854\pi\) | |||||||
\(158\) | −7.84245 | − | 5.90205i | −0.623911 | − | 0.469542i | ||||
\(159\) | −0.680531 | + | 1.78280i | −0.0539696 | + | 0.141385i | ||||
\(160\) | −2.49916 | + | 9.68842i | −0.197576 | + | 0.765937i | ||||
\(161\) | −1.49791 | − | 2.71027i | −0.118052 | − | 0.213599i | ||||
\(162\) | −6.66748 | + | 9.39693i | −0.523847 | + | 0.738293i | ||||
\(163\) | 1.17238 | + | 0.605665i | 0.0918278 | + | 0.0474394i | 0.504282 | − | 0.863539i | \(-0.331757\pi\) |
−0.412455 | + | 0.910978i | \(0.635328\pi\) | |||||||
\(164\) | 3.80981 | − | 9.98065i | 0.297497 | − | 0.779358i | ||||
\(165\) | 3.24130 | + | 0.644735i | 0.252335 | + | 0.0501925i | ||||
\(166\) | −12.5959 | + | 12.5959i | −0.977631 | + | 0.977631i | ||||
\(167\) | 15.5661 | + | 14.7164i | 1.20454 | + | 1.13879i | 0.986656 | + | 0.162817i | \(0.0520581\pi\) |
0.217883 | + | 0.975975i | \(0.430085\pi\) | |||||||
\(168\) | −0.940271 | + | 1.70129i | −0.0725435 | + | 0.131258i | ||||
\(169\) | 0.966782 | + | 2.00754i | 0.0743678 | + | 0.154426i | ||||
\(170\) | −8.33021 | − | 7.41943i | −0.638898 | − | 0.569044i | ||||
\(171\) | 23.8987i | 1.82758i | ||||||||
\(172\) | 2.41942 | − | 16.5415i | 0.184479 | − | 1.26128i | ||||
\(173\) | −9.70495 | − | 14.5245i | −0.737854 | − | 1.10428i | −0.990606 | − | 0.136745i | \(-0.956336\pi\) |
0.252753 | − | 0.967531i | \(-0.418664\pi\) | |||||||
\(174\) | 12.6634 | + | 36.1898i | 0.960007 | + | 2.74354i | ||||
\(175\) | 2.07078 | − | 0.534162i | 0.156536 | − | 0.0403789i | ||||
\(176\) | −2.56563 | + | 0.216408i | −0.193392 | + | 0.0163124i | ||||
\(177\) | −9.31198 | − | 20.8102i | −0.699932 | − | 1.56419i | ||||
\(178\) | −1.39671 | − | 0.578537i | −0.104688 | − | 0.0433632i | ||||
\(179\) | −0.196818 | − | 0.0815247i | −0.0147109 | − | 0.00609344i | 0.375316 | − | 0.926897i | \(-0.377534\pi\) |
−0.390027 | + | 0.920804i | \(0.627534\pi\) | |||||||
\(180\) | 11.5659 | − | 5.17540i | 0.862071 | − | 0.385752i | ||||
\(181\) | 15.1426 | − | 4.82638i | 1.12554 | − | 0.358742i | 0.317728 | − | 0.948182i | \(-0.397080\pi\) |
0.807812 | + | 0.589440i | \(0.200651\pi\) | |||||||
\(182\) | 1.80322 | − | 4.02980i | 0.133664 | − | 0.298709i | ||||
\(183\) | −7.79920 | + | 0.878758i | −0.576533 | + | 0.0649597i | ||||
\(184\) | 0.804345 | + | 5.69744i | 0.0592971 | + | 0.420021i | ||||
\(185\) | −0.230278 | − | 0.324546i | −0.0169303 | − | 0.0238611i | ||||
\(186\) | −16.3231 | + | 33.8952i | −1.19687 | + | 2.48532i | ||||
\(187\) | 1.55662 | − | 3.77578i | 0.113831 | − | 0.276112i | ||||
\(188\) | 0.169239 | − | 0.741484i | 0.0123430 | − | 0.0540783i | ||||
\(189\) | −1.50170 | + | 0.255149i | −0.109233 | + | 0.0185594i | ||||
\(190\) | −8.38424 | + | 14.2134i | −0.608257 | + | 1.03114i | ||||
\(191\) | −1.48492 | + | 13.1790i | −0.107445 | + | 0.953602i | 0.818129 | + | 0.575035i | \(0.195012\pi\) |
−0.925574 | + | 0.378567i | \(0.876417\pi\) | |||||||
\(192\) | −23.3632 | + | 19.7285i | −1.68609 | + | 1.42378i | ||||
\(193\) | −0.915646 | + | 6.48583i | −0.0659097 | + | 0.466860i | 0.929318 | + | 0.369280i | \(0.120396\pi\) |
−0.995228 | + | 0.0975796i | \(0.968890\pi\) | |||||||
\(194\) | 14.8066 | − | 11.1431i | 1.06305 | − | 0.800029i | ||||
\(195\) | −9.58387 | + | 5.29682i | −0.686315 | + | 0.379313i | ||||
\(196\) | −16.1740 | + | 4.65965i | −1.15529 | + | 0.332832i | ||||
\(197\) | 11.8037 | − | 8.88322i | 0.840981 | − | 0.632903i | −0.0908221 | − | 0.995867i | \(-0.528949\pi\) |
0.931803 | + | 0.362964i | \(0.118235\pi\) | |||||||
\(198\) | 5.68714 | + | 6.01548i | 0.404167 | + | 0.427502i | ||||
\(199\) | −8.72699 | − | 3.90508i | −0.618640 | − | 0.276824i | 0.0749570 | − | 0.997187i | \(-0.476118\pi\) |
−0.693597 | + | 0.720363i | \(0.743975\pi\) | |||||||
\(200\) | −3.94870 | − | 0.444912i | −0.279215 | − | 0.0314600i | ||||
\(201\) | 4.82693 | + | 34.1908i | 0.340466 | + | 2.41163i | ||||
\(202\) | 15.7219 | − | 11.1553i | 1.10619 | − | 0.784882i | ||||
\(203\) | 1.87008 | − | 3.88326i | 0.131254 | − | 0.272551i | ||||
\(204\) | −6.19709 | − | 26.9444i | −0.433883 | − | 1.88648i | ||||
\(205\) | 5.18215 | + | 1.18279i | 0.361937 | + | 0.0826097i | ||||
\(206\) | 1.05273 | − | 3.65412i | 0.0733474 | − | 0.254594i | ||||
\(207\) | −13.2174 | + | 13.9806i | −0.918676 | + | 0.971715i | ||||
\(208\) | 6.03246 | − | 6.03246i | 0.418276 | − | 0.418276i | ||||
\(209\) | −5.92545 | − | 1.17864i | −0.409872 | − | 0.0815285i | ||||
\(210\) | −4.19288 | − | 1.60051i | −0.289336 | − | 0.110445i | ||||
\(211\) | 12.6140 | + | 10.6515i | 0.868380 | + | 0.733282i | 0.965059 | − | 0.262034i | \(-0.0843932\pi\) |
−0.0966783 | + | 0.995316i | \(0.530822\pi\) | |||||||
\(212\) | −1.84670 | + | 0.103708i | −0.126832 | + | 0.00712272i | ||||
\(213\) | 15.0504 | − | 13.4498i | 1.03123 | − | 0.921567i | ||||
\(214\) | 6.82718 | + | 34.3226i | 0.466696 | + | 2.34624i | ||||
\(215\) | 8.31779 | + | 0.0414525i | 0.567268 | + | 0.00282704i | ||||
\(216\) | 2.77594 | + | 0.552168i | 0.188879 | + | 0.0375703i | ||||
\(217\) | 3.99177 | − | 1.39678i | 0.270979 | − | 0.0948196i | ||||
\(218\) | −0.135933 | − | 0.0801850i | −0.00920656 | − | 0.00543081i | ||||
\(219\) | −2.62899 | − | 1.45299i | −0.177651 | − | 0.0981841i | ||||
\(220\) | 0.712780 | + | 3.12290i | 0.0480556 | + | 0.210546i | ||||
\(221\) | 4.13087 | + | 12.8863i | 0.277873 | + | 0.866826i | ||||
\(222\) | − | 1.76002i | − | 0.118125i | ||||||
\(223\) | −5.43723 | − | 7.66306i | −0.364104 | − | 0.513157i | 0.592097 | − | 0.805867i | \(-0.298300\pi\) |
−0.956201 | + | 0.292710i | \(0.905443\pi\) | |||||||
\(224\) | 4.95699 | + | 0.418117i | 0.331203 | + | 0.0279366i | ||||
\(225\) | −7.06901 | − | 11.2503i | −0.471268 | − | 0.750018i | ||||
\(226\) | −13.7640 | − | 16.2999i | −0.915569 | − | 1.08425i | ||||
\(227\) | 10.8095 | + | 18.3248i | 0.717455 | + | 1.21626i | 0.968675 | + | 0.248332i | \(0.0798825\pi\) |
−0.251220 | + | 0.967930i | \(0.580832\pi\) | |||||||
\(228\) | −37.3322 | + | 16.7051i | −2.47239 | + | 1.10632i | ||||
\(229\) | 10.1851 | + | 11.3971i | 0.673049 | + | 0.753142i | 0.980090 | − | 0.198554i | \(-0.0636245\pi\) |
−0.307041 | + | 0.951696i | \(0.599339\pi\) | |||||||
\(230\) | −12.7656 | + | 3.67770i | −0.841738 | + | 0.242500i | ||||
\(231\) | 0.0460825 | − | 1.64244i | 0.00303200 | − | 0.108065i | ||||
\(232\) | −5.81956 | + | 5.50191i | −0.382073 | + | 0.361218i | ||||
\(233\) | 3.86925 | + | 14.9998i | 0.253483 | + | 0.982672i | 0.961128 | + | 0.276104i | \(0.0890434\pi\) |
−0.707645 | + | 0.706568i | \(0.750242\pi\) | |||||||
\(234\) | −27.2569 | − | 3.07111i | −1.78184 | − | 0.200765i | ||||
\(235\) | 0.377077 | + | 0.0318061i | 0.0245978 | + | 0.00207480i | ||||
\(236\) | 14.7248 | − | 16.4770i | 0.958502 | − | 1.07256i | ||||
\(237\) | 10.9051 | − | 5.25163i | 0.708364 | − | 0.341130i | ||||
\(238\) | −2.94294 | + | 4.70101i | −0.190762 | + | 0.304722i | ||||
\(239\) | 1.50587 | + | 1.88830i | 0.0974067 | + | 0.122144i | 0.828146 | − | 0.560513i | \(-0.189396\pi\) |
−0.730739 | + | 0.682657i | \(0.760824\pi\) | |||||||
\(240\) | −6.46657 | − | 5.77888i | −0.417415 | − | 0.373025i | ||||
\(241\) | 1.43229 | + | 3.75220i | 0.0922620 | + | 0.241701i | 0.972531 | − | 0.232775i | \(-0.0747806\pi\) |
−0.880269 | + | 0.474476i | \(0.842638\pi\) | |||||||
\(242\) | 18.0941 | − | 11.3693i | 1.16313 | − | 0.730845i | ||||
\(243\) | −9.84721 | − | 19.0611i | −0.631699 | − | 1.22277i | ||||
\(244\) | −3.86506 | − | 6.55223i | −0.247435 | − | 0.419464i | ||||
\(245\) | −3.42062 | − | 7.64434i | −0.218536 | − | 0.488379i | ||||
\(246\) | 15.6651 | + | 17.5293i | 0.998772 | + | 1.11763i | ||||
\(247\) | 17.5203 | − | 9.68315i | 1.11479 | − | 0.616124i | ||||
\(248\) | −7.85504 | − | 0.220391i | −0.498796 | − | 0.0139949i | ||||
\(249\) | −6.67079 | − | 20.9294i | −0.422744 | − | 1.32634i | ||||
\(250\) | −0.636714 | − | 22.6934i | −0.0402693 | − | 1.43525i | ||||
\(251\) | 21.2387 | + | 21.2387i | 1.34058 | + | 1.34058i | 0.895486 | + | 0.445090i | \(0.146828\pi\) |
0.445090 | + | 0.895486i | \(0.353172\pi\) | |||||||
\(252\) | −3.49998 | − | 5.23810i | −0.220478 | − | 0.329969i | ||||
\(253\) | −2.81448 | − | 3.96664i | −0.176945 | − | 0.249380i | ||||
\(254\) | 15.5013 | + | 19.4380i | 0.972639 | + | 1.21965i | ||||
\(255\) | 12.8436 | − | 4.92719i | 0.804300 | − | 0.308552i | ||||
\(256\) | 3.61311 | + | 1.73998i | 0.225819 | + | 0.108749i | ||||
\(257\) | −9.66384 | + | 4.00289i | −0.602814 | + | 0.249694i | −0.663153 | − | 0.748484i | \(-0.730782\pi\) |
0.0603386 | + | 0.998178i | \(0.480782\pi\) | |||||||
\(258\) | 29.8967 | + | 21.4376i | 1.86128 | + | 1.33465i | ||||
\(259\) | −0.139901 | + | 0.139901i | −0.00869302 | + | 0.00869302i | ||||
\(260\) | −8.48035 | − | 6.38212i | −0.525929 | − | 0.395802i | ||||
\(261\) | −26.5156 | − | 3.74338i | −1.64127 | − | 0.231709i | ||||
\(262\) | 4.28163 | − | 5.07047i | 0.264520 | − | 0.313255i | ||||
\(263\) | 3.84872 | + | 0.653923i | 0.237322 | + | 0.0403226i | 0.284949 | − | 0.958543i | \(-0.408023\pi\) |
−0.0476275 | + | 0.998865i | \(0.515166\pi\) | |||||||
\(264\) | −1.16835 | + | 2.82065i | −0.0719070 | + | 0.173599i | ||||
\(265\) | −0.179538 | − | 0.902598i | −0.0110289 | − | 0.0554462i | ||||
\(266\) | 7.66503 | + | 2.92590i | 0.469973 | + | 0.179398i | ||||
\(267\) | 1.42439 | − | 1.20279i | 0.0871710 | − | 0.0736093i | ||||
\(268\) | −28.3384 | + | 17.8062i | −1.73104 | + | 1.08769i | ||||
\(269\) | 0.784366 | − | 9.29906i | 0.0478237 | − | 0.566974i | −0.931374 | − | 0.364064i | \(-0.881389\pi\) |
0.979198 | − | 0.202909i | \(-0.0650397\pi\) | |||||||
\(270\) | −0.366403 | + | 6.52441i | −0.0222986 | + | 0.397063i | ||||
\(271\) | 11.3960 | − | 2.60107i | 0.692261 | − | 0.158004i | 0.138106 | − | 0.990417i | \(-0.455899\pi\) |
0.554155 | + | 0.832414i | \(0.313041\pi\) | |||||||
\(272\) | −8.55259 | + | 6.45881i | −0.518577 | + | 0.391623i | ||||
\(273\) | 3.39443 | + | 4.25648i | 0.205440 | + | 0.257614i | ||||
\(274\) | 42.5350 | − | 7.22699i | 2.56963 | − | 0.436598i | ||||
\(275\) | 3.13803 | − | 1.19785i | 0.189230 | − | 0.0722330i | ||||
\(276\) | −31.0781 | − | 10.8747i | −1.87068 | − | 0.654579i | ||||
\(277\) | −10.7108 | − | 20.7328i | −0.643552 | − | 1.24572i | −0.955325 | − | 0.295559i | \(-0.904494\pi\) |
0.311773 | − | 0.950157i | \(-0.399077\pi\) | |||||||
\(278\) | −29.3769 | + | 9.36325i | −1.76191 | + | 0.561570i | ||||
\(279\) | −15.7998 | − | 20.9942i | −0.945906 | − | 1.25689i | ||||
\(280\) | −0.0525623 | − | 0.935959i | −0.00314120 | − | 0.0559342i | ||||
\(281\) | −2.55132 | − | 4.61626i | −0.152199 | − | 0.275383i | 0.788225 | − | 0.615387i | \(-0.211000\pi\) |
−0.940424 | + | 0.340004i | \(0.889572\pi\) | |||||||
\(282\) | 1.27874 | + | 1.07980i | 0.0761477 | + | 0.0643010i | ||||
\(283\) | −22.9149 | − | 3.23504i | −1.36215 | − | 0.192303i | −0.579604 | − | 0.814898i | \(-0.696793\pi\) |
−0.782545 | + | 0.622595i | \(0.786079\pi\) | |||||||
\(284\) | 17.8576 | + | 7.99077i | 1.05966 | + | 0.474165i | ||||
\(285\) | −10.8267 | − | 17.2306i | −0.641317 | − | 1.02065i | ||||
\(286\) | 2.10572 | − | 6.60662i | 0.124514 | − | 0.390658i | ||||
\(287\) | 0.148179 | − | 2.63857i | 0.00874673 | − | 0.155750i | ||||
\(288\) | −6.87745 | − | 30.1321i | −0.405258 | − | 1.77555i | ||||
\(289\) | −2.90339 | − | 16.7502i | −0.170788 | − | 0.985308i | ||||
\(290\) | −14.4564 | − | 11.5286i | −0.848911 | − | 0.676984i | ||||
\(291\) | 3.82786 | + | 22.5292i | 0.224393 | + | 1.32068i | ||||
\(292\) | 0.244709 | − | 2.90115i | 0.0143205 | − | 0.169777i | ||||
\(293\) | −13.3141 | − | 8.36582i | −0.777820 | − | 0.488737i | 0.0836812 | − | 0.996493i | \(-0.473332\pi\) |
−0.861501 | + | 0.507756i | \(0.830475\pi\) | |||||||
\(294\) | 7.22611 | − | 36.3281i | 0.421436 | − | 2.11870i | ||||
\(295\) | 9.14189 | + | 6.10842i | 0.532262 | + | 0.355646i | ||||
\(296\) | 0.335564 | − | 0.150155i | 0.0195043 | − | 0.00872759i | ||||
\(297\) | −2.29891 | + | 0.662305i | −0.133396 | + | 0.0384308i | ||||
\(298\) | 0.182696 | + | 3.25320i | 0.0105833 | + | 0.188453i | ||||
\(299\) | 15.6047 | + | 4.02526i | 0.902440 | + | 0.232787i | ||||
\(300\) | 12.6329 | − | 18.9065i | 0.729360 | − | 1.09156i | ||||
\(301\) | −0.672396 | − | 4.08048i | −0.0387563 | − | 0.235195i | ||||
\(302\) | −34.7053 | − | 34.7053i | −1.99706 | − | 1.99706i | ||||
\(303\) | 3.32313 | + | 23.5388i | 0.190909 | + | 1.35227i | ||||
\(304\) | 11.8216 | + | 10.5644i | 0.678014 | + | 0.605911i | ||||
\(305\) | 2.95926 | − | 2.35993i | 0.169447 | − | 0.135129i | ||||
\(306\) | 33.3805 | + | 8.55136i | 1.90824 | + | 0.488848i | ||||
\(307\) | 1.26977 | 0.0724695 | 0.0362347 | − | 0.999343i | \(-0.488464\pi\) | ||||
0.0362347 | + | 0.999343i | \(0.488464\pi\) | |||||||
\(308\) | 1.47135 | − | 0.609453i | 0.0838379 | − | 0.0347268i | ||||
\(309\) | 3.40761 | + | 3.22161i | 0.193852 | + | 0.183271i | ||||
\(310\) | −2.03137 | − | 18.0289i | −0.115374 | − | 1.02397i | ||||
\(311\) | 12.6675 | + | 5.66833i | 0.718306 | + | 0.321421i | 0.734651 | − | 0.678445i | \(-0.237346\pi\) |
−0.0163448 | + | 0.999866i | \(0.505203\pi\) | |||||||
\(312\) | −3.07200 | − | 9.63829i | −0.173918 | − | 0.545661i | ||||
\(313\) | 1.52147 | + | 0.392467i | 0.0859985 | + | 0.0221835i | 0.292529 | − | 0.956257i | \(-0.405503\pi\) |
−0.206531 | + | 0.978440i | \(0.566217\pi\) | |||||||
\(314\) | 6.12616 | − | 36.0560i | 0.345719 | − | 2.03476i | ||||
\(315\) | 2.33721 | − | 2.08866i | 0.131687 | − | 0.117683i | ||||
\(316\) | 8.96344 | + | 7.56895i | 0.504233 | + | 0.425787i | ||||
\(317\) | 7.72781 | − | 7.30600i | 0.434037 | − | 0.410346i | −0.438625 | − | 0.898670i | \(-0.644534\pi\) |
0.872662 | + | 0.488324i | \(0.162392\pi\) | |||||||
\(318\) | 1.66246 | − | 3.71522i | 0.0932259 | − | 0.208339i | ||||
\(319\) | 2.23584 | − | 6.38966i | 0.125183 | − | 0.357752i | ||||
\(320\) | 4.47826 | − | 14.0504i | 0.250342 | − | 0.785441i | ||||
\(321\) | −41.4680 | − | 11.9467i | −2.31452 | − | 0.666801i | ||||
\(322\) | 2.86579 | + | 5.95087i | 0.159704 | + | 0.331629i | ||||
\(323\) | −23.4796 | + | 9.00743i | −1.30644 | + | 0.501187i | ||||
\(324\) | 8.58658 | − | 10.7672i | 0.477032 | − | 0.598179i | ||||
\(325\) | −5.38349 | + | 9.74069i | −0.298622 | + | 0.540316i | ||||
\(326\) | −2.42424 | − | 1.43002i | −0.134266 | − | 0.0792015i | ||||
\(327\) | 0.164789 | − | 0.103544i | 0.00911286 | − | 0.00572599i | ||||
\(328\) | −2.00566 | + | 4.48221i | −0.110744 | + | 0.247489i | ||||
\(329\) | −0.0158134 | − | 0.187476i | −0.000871823 | − | 0.0103359i | ||||
\(330\) | −6.82549 | − | 1.76065i | −0.375731 | − | 0.0969208i | ||||
\(331\) | −29.3818 | − | 4.99217i | −1.61497 | − | 0.274394i | −0.711384 | − | 0.702803i | \(-0.751931\pi\) |
−0.903585 | + | 0.428409i | \(0.859074\pi\) | |||||||
\(332\) | 15.8758 | − | 14.1875i | 0.871298 | − | 0.778639i | ||||
\(333\) | 1.09211 | + | 0.564197i | 0.0598472 | + | 0.0309178i | ||||
\(334\) | −31.3892 | − | 33.2014i | −1.71754 | − | 1.81670i | ||||
\(335\) | −10.7436 | − | 12.7230i | −0.586986 | − | 0.695131i | ||||
\(336\) | −2.29402 | + | 3.65091i | −0.125149 | + | 0.199173i | ||||
\(337\) | −9.10130 | + | 6.08130i | −0.495780 | + | 0.331269i | −0.778195 | − | 0.628023i | \(-0.783864\pi\) |
0.282415 | + | 0.959292i | \(0.408864\pi\) | |||||||
\(338\) | −1.81874 | − | 4.39084i | −0.0989267 | − | 0.238830i | ||||
\(339\) | 25.6486 | − | 5.85413i | 1.39304 | − | 0.317953i | ||||
\(340\) | 9.44384 | + | 9.41245i | 0.512164 | + | 0.510462i | ||||
\(341\) | 5.98453 | − | 2.88200i | 0.324080 | − | 0.156069i | ||||
\(342\) | 2.85815 | − | 50.8941i | 0.154551 | − | 2.75204i | ||||
\(343\) | −7.13267 | + | 4.76590i | −0.385128 | + | 0.257334i | ||||
\(344\) | −1.53666 | + | 7.52903i | −0.0828512 | + | 0.405938i | ||||
\(345\) | 3.19604 | − | 16.0676i | 0.172069 | − | 0.865049i | ||||
\(346\) | 18.9304 | + | 32.0917i | 1.01770 | + | 1.72526i | ||||
\(347\) | 10.1288 | − | 7.62272i | 0.543744 | − | 0.409209i | −0.293565 | − | 0.955939i | \(-0.594842\pi\) |
0.837309 | + | 0.546730i | \(0.184128\pi\) | |||||||
\(348\) | −12.6868 | − | 44.0367i | −0.680082 | − | 2.36062i | ||||
\(349\) | −0.258939 | + | 1.52401i | −0.0138607 | + | 0.0815783i | −0.991957 | − | 0.126574i | \(-0.959602\pi\) |
0.978097 | + | 0.208152i | \(0.0667448\pi\) | |||||||
\(350\) | −4.47376 | + | 0.889886i | −0.239132 | + | 0.0475664i | ||||
\(351\) | 4.40405 | − | 6.59112i | 0.235071 | − | 0.351808i | ||||
\(352\) | 7.81015 | − | 0.219132i | 0.416282 | − | 0.0116798i | ||||
\(353\) | −16.3199 | + | 1.83881i | −0.868621 | + | 0.0978701i | −0.535015 | − | 0.844842i | \(-0.679694\pi\) |
−0.333606 | + | 0.942713i | \(0.608266\pi\) | |||||||
\(354\) | 17.3418 | + | 45.4307i | 0.921706 | + | 2.41461i | ||||
\(355\) | −2.69475 | + | 9.35369i | −0.143023 | + | 0.496442i | ||||
\(356\) | 1.62803 | + | 0.784017i | 0.0862854 | + | 0.0415528i | ||||
\(357\) | −3.48473 | − | 5.88507i | −0.184432 | − | 0.311471i | ||||
\(358\) | 0.409389 | + | 0.197151i | 0.0216369 | + | 0.0104198i | ||||
\(359\) | 8.68717 | − | 15.7183i | 0.458492 | − | 0.829578i | −0.541446 | − | 0.840735i | \(-0.682123\pi\) |
0.999938 | + | 0.0111574i | \(0.00355160\pi\) | |||||||
\(360\) | −5.44130 | + | 2.07705i | −0.286782 | + | 0.109470i | ||||
\(361\) | 9.68371 | + | 15.4115i | 0.509669 | + | 0.811134i | ||||
\(362\) | −32.8245 | + | 8.46718i | −1.72522 | + | 0.445025i | ||||
\(363\) | 2.21491 | + | 26.2589i | 0.116253 | + | 1.37824i | ||||
\(364\) | −2.42199 | + | 4.68822i | −0.126947 | + | 0.245729i | ||||
\(365\) | 1.44633 | − | 0.0812241i | 0.0757043 | − | 0.00425146i | ||||
\(366\) | 16.7141 | − | 0.938643i | 0.873659 | − | 0.0490636i | ||||
\(367\) | 0.751617 | − | 1.45490i | 0.0392341 | − | 0.0759450i | −0.868017 | − | 0.496535i | \(-0.834605\pi\) |
0.907251 | + | 0.420590i | \(0.138177\pi\) | |||||||
\(368\) | 1.07277 | + | 12.7182i | 0.0559218 | + | 0.662981i | ||||
\(369\) | −15.8988 | + | 4.10113i | −0.827658 | + | 0.213496i | ||||
\(370\) | 0.451580 | + | 0.718686i | 0.0234765 | + | 0.0373627i | ||||
\(371\) | −0.427463 | + | 0.163171i | −0.0221928 | + | 0.00847143i | ||||
\(372\) | 21.7512 | − | 39.3558i | 1.12775 | − | 2.04050i | ||||
\(373\) | 6.44602 | + | 3.10424i | 0.333762 | + | 0.160731i | 0.593257 | − | 0.805013i | \(-0.297842\pi\) |
−0.259495 | + | 0.965745i | \(0.583556\pi\) | |||||||
\(374\) | −3.76650 | + | 7.85464i | −0.194761 | + | 0.406154i | ||||
\(375\) | 25.2232 | + | 12.1469i | 1.30252 | + | 0.627262i | ||||
\(376\) | −0.0967787 | + | 0.335926i | −0.00499098 | + | 0.0173241i | ||||
\(377\) | 7.99914 | + | 20.9555i | 0.411977 | + | 1.07926i | ||||
\(378\) | 3.22850 | − | 0.363765i | 0.166056 | − | 0.0187100i | ||||
\(379\) | −0.828084 | + | 0.0232338i | −0.0425358 | + | 0.00119344i | −0.0493078 | − | 0.998784i | \(-0.515702\pi\) |
0.00677201 | + | 0.999977i | \(0.497844\pi\) | |||||||
\(380\) | 10.9581 | − | 16.4000i | 0.562139 | − | 0.841301i | ||||
\(381\) | −30.0701 | + | 5.98131i | −1.54054 | + | 0.306432i | ||||
\(382\) | 4.73840 | − | 27.8882i | 0.242437 | − | 1.42688i | ||||
\(383\) | 4.69841 | + | 16.3085i | 0.240077 | + | 0.833327i | 0.985922 | + | 0.167207i | \(0.0534748\pi\) |
−0.745844 | + | 0.666120i | \(0.767954\pi\) | |||||||
\(384\) | 18.9585 | − | 14.2678i | 0.967474 | − | 0.728099i | ||||
\(385\) | 0.402596 | + | 0.682499i | 0.0205182 | + | 0.0347834i | ||||
\(386\) | 2.72561 | − | 13.7026i | 0.138730 | − | 0.697442i | ||||
\(387\) | −22.8860 | + | 11.6791i | −1.16336 | + | 0.593681i | ||||
\(388\) | −18.4167 | + | 12.3056i | −0.934964 | + | 0.624723i | ||||
\(389\) | 0.160424 | − | 2.85661i | 0.00813381 | − | 0.144836i | −0.991730 | − | 0.128341i | \(-0.959035\pi\) |
0.999864 | − | 0.0164952i | \(-0.00525082\pi\) | |||||||
\(390\) | 21.0431 | − | 10.1338i | 1.06556 | − | 0.513145i | ||||
\(391\) | −18.7170 | − | 7.71637i | −0.946561 | − | 0.390234i | ||||
\(392\) | 7.54280 | − | 1.72159i | 0.380969 | − | 0.0869537i | ||||
\(393\) | 3.13180 | + | 7.56085i | 0.157979 | + | 0.381394i | ||||
\(394\) | −26.1993 | + | 17.5058i | −1.31990 | + | 0.881932i | ||||
\(395\) | −3.10555 | + | 4.94246i | −0.156257 | + | 0.248682i | ||||
\(396\) | −6.38375 | − | 7.55988i | −0.320795 | − | 0.379898i | ||||
\(397\) | 15.7095 | + | 16.6165i | 0.788438 | + | 0.833958i | 0.989336 | − | 0.145654i | \(-0.0465287\pi\) |
−0.200898 | + | 0.979612i | \(0.564386\pi\) | |||||||
\(398\) | 18.1178 | + | 9.35987i | 0.908162 | + | 0.469168i | ||||
\(399\) | −7.54403 | + | 6.74176i | −0.377674 | + | 0.337510i | ||||
\(400\) | −8.68986 | − | 1.47647i | −0.434493 | − | 0.0738233i | ||||
\(401\) | 14.6036 | + | 3.76704i | 0.729270 | + | 0.188117i | 0.596025 | − | 0.802966i | \(-0.296746\pi\) |
0.133245 | + | 0.991083i | \(0.457460\pi\) | |||||||
\(402\) | −6.19030 | − | 73.3892i | −0.308744 | − | 3.66032i | ||||
\(403\) | −8.98937 | + | 20.0893i | −0.447792 | + | 1.00072i | ||||
\(404\) | −19.5097 | + | 12.2588i | −0.970645 | + | 0.609897i | ||||
\(405\) | 5.90191 | + | 3.48145i | 0.293268 | + | 0.172994i | ||||
\(406\) | −4.44689 | + | 8.04605i | −0.220696 | + | 0.399319i | ||||
\(407\) | −0.193748 | + | 0.242953i | −0.00960374 | + | 0.0120427i | ||||
\(408\) | 2.14959 | + | 12.5253i | 0.106420 | + | 0.620093i | ||||
\(409\) | −9.89944 | − | 20.5564i | −0.489496 | − | 1.01645i | −0.988692 | − | 0.149960i | \(-0.952086\pi\) |
0.499196 | − | 0.866489i | \(-0.333629\pi\) | |||||||
\(410\) | −10.8943 | − | 3.13860i | −0.538032 | − | 0.155004i | ||||
\(411\) | −16.1570 | + | 50.6919i | −0.796964 | + | 2.50045i | ||||
\(412\) | −1.50120 | + | 4.29018i | −0.0739588 | + | 0.211362i | ||||
\(413\) | 2.23274 | − | 4.98968i | 0.109866 | − | 0.245526i | ||||
\(414\) | 29.8196 | − | 28.1919i | 1.46555 | − | 1.38556i | ||||
\(415\) | 8.09395 | + | 6.83473i | 0.397316 | + | 0.335504i | ||||
\(416\) | −19.3035 | + | 17.2507i | −0.946434 | + | 0.845785i | ||||
\(417\) | 6.36895 | − | 37.4849i | 0.311889 | − | 1.83565i | ||||
\(418\) | 12.4777 | + | 3.21867i | 0.610306 | + | 0.157430i | ||||
\(419\) | 3.16582 | + | 9.93265i | 0.154660 | + | 0.485242i | 0.998696 | − | 0.0510449i | \(-0.0162552\pi\) |
−0.844036 | + | 0.536287i | \(0.819827\pi\) | |||||||
\(420\) | 4.89642 | + | 2.19101i | 0.238921 | + | 0.106910i | ||||
\(421\) | 1.46401 | + | 12.9934i | 0.0713514 | + | 0.633261i | 0.977593 | + | 0.210502i | \(0.0675098\pi\) |
−0.906242 | + | 0.422759i | \(0.861062\pi\) | |||||||
\(422\) | −25.5885 | − | 24.1918i | −1.24563 | − | 1.17764i | ||||
\(423\) | −1.07994 | + | 0.447327i | −0.0525086 | + | 0.0217498i | ||||
\(424\) | 0.850175 | 0.0412881 | ||||||||
\(425\) | 8.38866 | − | 11.1853i | 0.406910 | − | 0.542566i | ||||
\(426\) | −33.6594 | + | 26.8425i | −1.63081 | + | 1.30052i | ||||
\(427\) | −1.40319 | − | 1.25396i | −0.0679050 | − | 0.0606836i | ||||
\(428\) | −5.84714 | − | 41.4173i | −0.282632 | − | 2.00198i | ||||
\(429\) | 6.04638 | + | 6.04638i | 0.291922 | + | 0.291922i | ||||
\(430\) | −17.7084 | − | 1.08304i | −0.853976 | − | 0.0522287i | ||||
\(431\) | 2.23255 | − | 3.34125i | 0.107538 | − | 0.160942i | −0.773797 | − | 0.633433i | \(-0.781645\pi\) |
0.881335 | + | 0.472491i | \(0.156645\pi\) | |||||||
\(432\) | 6.07919 | + | 1.56814i | 0.292485 | + | 0.0754474i | ||||
\(433\) | 0.126586 | + | 2.25407i | 0.00608334 | + | 0.108324i | 0.999998 | − | 0.00182593i | \(-0.000581213\pi\) |
−0.993915 | + | 0.110150i | \(0.964867\pi\) | |||||||
\(434\) | −8.66783 | + | 2.49716i | −0.416069 | + | 0.119867i | ||||
\(435\) | 20.8131 | − | 9.31328i | 0.997913 | − | 0.446537i | ||||
\(436\) | 0.156846 | + | 0.104801i | 0.00751154 | + | 0.00501905i | ||||
\(437\) | −5.84270 | + | 29.3732i | −0.279494 | + | 1.40511i | ||||
\(438\) | 5.42487 | + | 3.40867i | 0.259210 | + | 0.162873i | ||||
\(439\) | 1.69515 | − | 20.0968i | 0.0809050 | − | 0.959170i | −0.833008 | − | 0.553260i | \(-0.813383\pi\) |
0.913913 | − | 0.405909i | \(-0.133045\pi\) | |||||||
\(440\) | −0.246629 | − | 1.45156i | −0.0117576 | − | 0.0692002i | ||||
\(441\) | 20.2256 | + | 16.1293i | 0.963122 | + | 0.768064i | ||||
\(442\) | −7.25588 | − | 27.9364i | −0.345127 | − | 1.32880i | ||||
\(443\) | −6.50119 | − | 28.4836i | −0.308881 | − | 1.35329i | −0.856318 | − | 0.516448i | \(-0.827254\pi\) |
0.547438 | − | 0.836846i | \(-0.315603\pi\) | |||||||
\(444\) | −0.117954 | + | 2.10036i | −0.00559784 | + | 0.0996787i | ||||
\(445\) | −0.273026 | + | 0.856611i | −0.0129427 | + | 0.0406073i | ||||
\(446\) | 10.6625 | + | 16.9693i | 0.504886 | + | 0.803522i | ||||
\(447\) | −3.66761 | − | 1.64115i | −0.173472 | − | 0.0776238i | ||||
\(448\) | −7.25986 | − | 1.02492i | −0.342996 | − | 0.0484230i | ||||
\(449\) | 7.45474 | + | 6.29497i | 0.351811 | + | 0.297078i | 0.803745 | − | 0.594973i | \(-0.202837\pi\) |
−0.451935 | + | 0.892051i | \(0.649266\pi\) | |||||||
\(450\) | 13.7085 | + | 24.8037i | 0.646227 | + | 1.16926i | ||||
\(451\) | −0.232734 | − | 4.14421i | −0.0109590 | − | 0.195143i | ||||
\(452\) | 15.3333 | + | 20.3743i | 0.721216 | + | 0.958328i | ||||
\(453\) | 57.6664 | − | 18.3799i | 2.70940 | − | 0.863564i | ||||
\(454\) | −20.8282 | − | 40.3169i | −0.977517 | − | 1.89217i | ||||
\(455\) | −2.47820 | − | 0.867159i | −0.116180 | − | 0.0406530i | ||||
\(456\) | 17.5634 | − | 6.70429i | 0.822480 | − | 0.313957i | ||||
\(457\) | −13.5020 | + | 2.29408i | −0.631595 | + | 0.107312i | −0.474478 | − | 0.880268i | \(-0.657363\pi\) |
−0.157118 | + | 0.987580i | \(0.550220\pi\) | |||||||
\(458\) | −20.3269 | − | 25.4891i | −0.949813 | − | 1.19103i | ||||
\(459\) | −6.62343 | + | 7.43650i | −0.309155 | + | 0.347106i | ||||
\(460\) | 15.4806 | − | 3.53335i | 0.721788 | − | 0.164743i | ||||
\(461\) | −0.111057 | + | 1.97756i | −0.00517246 | + | 0.0921042i | −0.999950 | − | 0.00995866i | \(-0.996830\pi\) |
0.994778 | + | 0.102063i | \(0.0325443\pi\) | |||||||
\(462\) | −0.294563 | + | 3.49220i | −0.0137043 | + | 0.162472i | ||||
\(463\) | 34.9484 | − | 21.9595i | 1.62419 | − | 1.02055i | 0.661498 | − | 0.749947i | \(-0.269921\pi\) |
0.962692 | − | 0.270600i | \(-0.0872220\pi\) | |||||||
\(464\) | −13.5729 | + | 11.4613i | −0.630105 | + | 0.532077i | ||||
\(465\) | 20.9022 | + | 7.97880i | 0.969318 | + | 0.370008i | ||||
\(466\) | −6.44597 | − | 32.4061i | −0.298604 | − | 1.50118i | ||||
\(467\) | 7.60976 | − | 18.3716i | 0.352138 | − | 0.850135i | −0.644218 | − | 0.764842i | \(-0.722817\pi\) |
0.996356 | − | 0.0852936i | \(-0.0271828\pi\) | |||||||
\(468\) | 32.3219 | + | 5.49171i | 1.49408 | + | 0.253854i | ||||
\(469\) | −5.34153 | + | 6.32564i | −0.246649 | + | 0.292091i | ||||
\(470\) | −0.799212 | − | 0.112830i | −0.0368649 | − | 0.00520446i | ||||
\(471\) | 36.0356 | + | 27.1195i | 1.66043 | + | 1.24960i | ||||
\(472\) | −7.18228 | + | 7.18228i | −0.330591 | + | 0.330591i | ||||
\(473\) | −1.76701 | − | 6.25037i | −0.0812474 | − | 0.287392i | ||||
\(474\) | −23.8514 | + | 9.87956i | −1.09553 | + | 0.453783i | ||||
\(475\) | −18.6344 | − | 8.97387i | −0.855006 | − | 0.411749i | ||||
\(476\) | 3.82709 | − | 5.41285i | 0.175414 | − | 0.248097i | ||||
\(477\) | 1.77241 | + | 2.22254i | 0.0811532 | + | 0.101763i | ||||
\(478\) | −2.98104 | − | 4.20138i | −0.136350 | − | 0.192167i | ||||
\(479\) | 15.5882 | + | 23.3293i | 0.712241 | + | 1.06594i | 0.994307 | + | 0.106550i | \(0.0339803\pi\) |
−0.282066 | + | 0.959395i | \(0.591020\pi\) | |||||||
\(480\) | 18.6091 | + | 18.6091i | 0.849385 | + | 0.849385i | ||||
\(481\) | −0.0288775 | − | 1.02923i | −0.00131670 | − | 0.0469290i | ||||
\(482\) | −2.60143 | − | 8.16190i | −0.118492 | − | 0.371764i | ||||
\(483\) | −8.14181 | − | 0.228437i | −0.370465 | − | 0.0103943i | ||||
\(484\) | −22.3550 | + | 12.3552i | −1.01614 | + | 0.561599i | ||||
\(485\) | −7.34354 | − | 8.21742i | −0.333453 | − | 0.373134i | ||||
\(486\) | 18.6908 | + | 41.7698i | 0.847831 | + | 1.89472i | ||||
\(487\) | 9.23288 | + | 15.6520i | 0.418382 | + | 0.709260i | 0.994109 | − | 0.108381i | \(-0.0345668\pi\) |
−0.575727 | + | 0.817642i | \(0.695281\pi\) | |||||||
\(488\) | 1.60492 | + | 3.10662i | 0.0726512 | + | 0.140630i | ||||
\(489\) | 2.93885 | − | 1.84660i | 0.132900 | − | 0.0835063i | ||||
\(490\) | 6.37026 | + | 16.6883i | 0.287779 | + | 0.753900i | ||||
\(491\) | −26.4831 | − | 23.6667i | −1.19516 | − | 1.06806i | −0.996114 | − | 0.0880740i | \(-0.971929\pi\) |
−0.199050 | − | 0.979989i | \(-0.563785\pi\) | |||||||
\(492\) | −17.5196 | − | 21.9689i | −0.789845 | − | 0.990434i | ||||
\(493\) | −6.31601 | − | 27.4614i | −0.284459 | − | 1.23680i | ||||
\(494\) | −38.4690 | + | 18.5257i | −1.73080 | + | 0.833510i | ||||
\(495\) | 3.28051 | − | 3.67089i | 0.147448 | − | 0.164994i | ||||
\(496\) | −17.3692 | − | 1.46507i | −0.779898 | − | 0.0657836i | ||||
\(497\) | 4.80920 | + | 0.541867i | 0.215722 | + | 0.0243061i | ||||
\(498\) | 11.7029 | + | 45.3685i | 0.524420 | + | 2.03301i | ||||
\(499\) | −3.49781 | + | 3.30689i | −0.156584 | + | 0.148037i | −0.761290 | − | 0.648412i | \(-0.775433\pi\) |
0.604706 | + | 0.796449i | \(0.293291\pi\) | |||||||
\(500\) | −0.761036 | + | 27.1244i | −0.0340346 | + | 1.21304i | ||||
\(501\) | 54.1418 | − | 15.5980i | 2.41888 | − | 0.696866i | ||||
\(502\) | −42.6894 | − | 47.7695i | −1.90532 | − | 2.13206i | ||||
\(503\) | −26.8930 | + | 12.0338i | −1.19910 | + | 0.536562i | −0.907530 | − | 0.419988i | \(-0.862034\pi\) |
−0.291569 | + | 0.956550i | \(0.594177\pi\) | |||||||
\(504\) | 1.47124 | + | 2.49412i | 0.0655343 | + | 0.111097i | ||||
\(505\) | −7.39649 | − | 8.75921i | −0.329139 | − | 0.389780i | ||||
\(506\) | 5.51926 | + | 8.78386i | 0.245361 | + | 0.390490i | ||||
\(507\) | 5.84002 | + | 0.492600i | 0.259364 | + | 0.0218771i | ||||
\(508\) | −17.1962 | − | 24.2358i | −0.762957 | − | 1.07529i | ||||
\(509\) | 10.1695i | 0.450756i | 0.974271 | + | 0.225378i | \(0.0723616\pi\) | ||||
−0.974271 | + | 0.225378i | \(0.927638\pi\) | |||||||
\(510\) | −27.9408 | + | 8.95680i | −1.23724 | + | 0.396614i | ||||
\(511\) | −0.160264 | − | 0.702164i | −0.00708968 | − | 0.0310619i | ||||
\(512\) | −23.2770 | − | 12.8648i | −1.02871 | − | 0.568548i | ||||
\(513\) | 12.6885 | + | 7.48473i | 0.560209 | + | 0.330459i | ||||
\(514\) | 21.0586 | − | 7.36873i | 0.928856 | − | 0.325021i | ||||
\(515\) | −2.21806 | − | 0.441199i | −0.0977392 | − | 0.0194415i | ||||
\(516\) | −34.2412 | − | 27.5868i | −1.50739 | − | 1.21444i | ||||
\(517\) | −0.0576493 | − | 0.289823i | −0.00253541 | − | 0.0127464i | ||||
\(518\) | 0.314661 | − | 0.281198i | 0.0138254 | − | 0.0123551i | ||||
\(519\) | −45.8743 | + | 2.57624i | −2.01366 | + | 0.113085i | ||||
\(520\) | 3.72739 | + | 3.14750i | 0.163457 | + | 0.138027i | ||||
\(521\) | 33.6730 | + | 12.8537i | 1.47524 | + | 0.563130i | 0.956482 | − | 0.291790i | \(-0.0942508\pi\) |
0.518761 | + | 0.854920i | \(0.326394\pi\) | |||||||
\(522\) | 56.0192 | + | 11.1429i | 2.45190 | + | 0.487712i | ||||
\(523\) | −27.7848 | + | 27.7848i | −1.21495 | + | 1.21495i | −0.245565 | + | 0.969380i | \(0.578974\pi\) |
−0.969380 | + | 0.245565i | \(0.921026\pi\) | |||||||
\(524\) | −5.44941 | + | 5.76403i | −0.238058 | + | 0.251803i | ||||
\(525\) | 1.55719 | − | 5.40513i | 0.0679614 | − | 0.235899i | ||||
\(526\) | −8.11793 | − | 1.85286i | −0.353959 | − | 0.0807887i | ||||
\(527\) | 14.6711 | − | 23.4354i | 0.639082 | − | 1.02086i | ||||
\(528\) | −2.93836 | + | 6.10157i | −0.127876 | + | 0.265537i | ||||
\(529\) | −0.905269 | + | 0.642323i | −0.0393595 | + | 0.0279271i | ||||
\(530\) | 0.274394 | + | 1.94362i | 0.0119189 | + | 0.0844256i | ||||
\(531\) | −33.7494 | − | 3.80264i | −1.46460 | − | 0.165021i | ||||
\(532\) | −8.95117 | − | 4.00539i | −0.388083 | − | 0.173656i | ||||
\(533\) | 9.44837 | + | 9.99387i | 0.409254 | + | 0.432882i | ||||
\(534\) | −3.17718 | + | 2.39108i | −0.137490 | + | 0.103472i | ||||
\(535\) | 19.9983 | − | 5.76142i | 0.864603 | − | 0.249088i | ||||
\(536\) | 13.4642 | − | 7.44141i | 0.581566 | − | 0.321420i | ||||
\(537\) | −0.447714 | + | 0.336939i | −0.0193203 | + | 0.0145400i | ||||
\(538\) | −2.78248 | + | 19.7093i | −0.119961 | + | 0.849726i | ||||
\(539\) | −4.99661 | + | 4.21926i | −0.215219 | + | 0.181736i | ||||
\(540\) | 0.874513 | − | 7.76152i | 0.0376330 | − | 0.334003i | ||||
\(541\) | −7.50312 | + | 12.7196i | −0.322584 | + | 0.546860i | −0.978051 | − | 0.208364i | \(-0.933186\pi\) |
0.655467 | + | 0.755224i | \(0.272472\pi\) | |||||||
\(542\) | −24.5798 | + | 4.17628i | −1.05579 | + | 0.179387i | ||||
\(543\) | 9.30207 | − | 40.7550i | 0.399190 | − | 1.74897i | ||||
\(544\) | 27.0116 | − | 18.1137i | 1.15811 | − | 0.776617i | ||||
\(545\) | −0.0407230 | + | 0.0845622i | −0.00174438 | + | 0.00362225i | ||||
\(546\) | −6.71965 | − | 9.47046i | −0.287574 | − | 0.405298i | ||||
\(547\) | −0.548998 | − | 3.88874i | −0.0234735 | − | 0.166270i | 0.974948 | − | 0.222432i | \(-0.0713995\pi\) |
−0.998422 | + | 0.0561616i | \(0.982114\pi\) | |||||||
\(548\) | −51.2446 | + | 5.77388i | −2.18906 | + | 0.246648i | ||||
\(549\) | −4.77549 | + | 10.6722i | −0.203813 | + | 0.455477i | ||||
\(550\) | −6.82593 | + | 2.17562i | −0.291059 | + | 0.0927688i | ||||
\(551\) | −38.0486 | + | 17.0257i | −1.62093 | + | 0.725318i | ||||
\(552\) | 13.9823 | + | 5.79167i | 0.595127 | + | 0.246510i | ||||
\(553\) | 2.68122 | + | 1.11060i | 0.114017 | + | 0.0472274i | ||||
\(554\) | 20.3300 | + | 45.4331i | 0.863740 | + | 1.93027i | ||||
\(555\) | −1.04299 | + | 0.0879749i | −0.0442724 | + | 0.00373433i | ||||
\(556\) | 35.6852 | − | 9.20508i | 1.51339 | − | 0.390382i | ||||
\(557\) | 9.03463 | + | 25.8195i | 0.382810 | + | 1.09401i | 0.960627 | + | 0.277841i | \(0.0896189\pi\) |
−0.577817 | + | 0.816166i | \(0.696095\pi\) | |||||||
\(558\) | 31.1360 | + | 46.5983i | 1.31809 | + | 1.97266i | ||||
\(559\) | 17.8349 | + | 12.0459i | 0.754336 | + | 0.509487i | ||||
\(560\) | − | 2.07941i | − | 0.0878710i | ||||||
\(561\) | −6.47371 | − | 8.57232i | −0.273320 | − | 0.361924i | ||||
\(562\) | 4.88115 | + | 10.1358i | 0.205899 | + | 0.427554i | ||||
\(563\) | −12.4830 | + | 22.5864i | −0.526097 | + | 0.951901i | 0.471449 | + | 0.881893i | \(0.343731\pi\) |
−0.997546 | + | 0.0700080i | \(0.977698\pi\) | |||||||
\(564\) | −1.45365 | − | 1.37430i | −0.0612096 | − | 0.0578686i | ||||
\(565\) | −8.97133 | + | 8.97133i | −0.377426 | + | 0.377426i | ||||
\(566\) | 48.4121 | + | 9.62977i | 2.03491 | + | 0.404770i | ||||
\(567\) | 1.21494 | − | 3.18280i | 0.0510227 | − | 0.133665i | ||||
\(568\) | −7.98943 | − | 4.12743i | −0.335229 | − | 0.173183i | ||||
\(569\) | −8.97983 | + | 12.6559i | −0.376454 | + | 0.530562i | −0.959437 | − | 0.281922i | \(-0.909028\pi\) |
0.582983 | + | 0.812484i | \(0.301885\pi\) | |||||||
\(570\) | 20.9956 | + | 37.9886i | 0.879407 | + | 1.59117i | ||||
\(571\) | −7.31481 | + | 28.3572i | −0.306115 | + | 1.18671i | 0.612149 | + | 0.790743i | \(0.290305\pi\) |
−0.918264 | + | 0.395969i | \(0.870409\pi\) | |||||||
\(572\) | −2.95568 | + | 7.74306i | −0.123583 | + | 0.323754i | ||||
\(573\) | 27.8724 | + | 20.9761i | 1.16439 | + | 0.876291i | ||||
\(574\) | −0.631117 | + | 5.60132i | −0.0263423 | + | 0.233795i | ||||
\(575\) | −5.93790 | − | 15.5556i | −0.247628 | − | 0.648715i | ||||
\(576\) | 7.63034 | + | 44.9090i | 0.317931 | + | 1.87121i | ||||
\(577\) | 1.01250 | − | 0.487595i | 0.0421510 | − | 0.0202988i | −0.412690 | − | 0.910872i | \(-0.635411\pi\) |
0.454841 | + | 0.890573i | \(0.349696\pi\) | |||||||
\(578\) | 4.17976 | + | 36.0181i | 0.173855 | + | 1.49816i | ||||
\(579\) | 13.4698 | + | 10.7418i | 0.559788 | + | 0.446416i | ||||
\(580\) | 16.4793 | + | 14.7268i | 0.684267 | + | 0.611498i | ||||
\(581\) | 2.67602 | − | 4.53652i | 0.111020 | − | 0.188206i | ||||
\(582\) | −5.45736 | − | 48.4354i | −0.226215 | − | 2.00771i | ||||
\(583\) | −0.638469 | + | 0.329841i | −0.0264427 | + | 0.0136606i | ||||
\(584\) | −0.187075 | + | 1.32511i | −0.00774122 | + | 0.0548336i | ||||
\(585\) | −0.457501 | + | 16.3060i | −0.0189153 | + | 0.674169i | ||||
\(586\) | 27.3530 | + | 19.4080i | 1.12994 | + | 0.801735i | ||||
\(587\) | 1.82022 | + | 6.31811i | 0.0751284 | + | 0.260776i | 0.989594 | − | 0.143887i | \(-0.0459601\pi\) |
−0.914466 | + | 0.404663i | \(0.867389\pi\) | |||||||
\(588\) | −11.0581 | + | 42.8688i | −0.456030 | + | 1.76788i | ||||
\(589\) | −38.2115 | − | 14.5861i | −1.57448 | − | 0.601010i | ||||
\(590\) | −18.7378 | − | 14.1017i | −0.771424 | − | 0.580556i | ||||
\(591\) | −4.35057 | − | 38.6124i | −0.178958 | − | 1.58830i | ||||
\(592\) | 0.761849 | − | 0.290813i | 0.0313118 | − | 0.0119523i | ||||
\(593\) | −20.8544 | − | 6.00804i | −0.856386 | − | 0.246721i | −0.180362 | − | 0.983600i | \(-0.557727\pi\) |
−0.676024 | + | 0.736880i | \(0.736298\pi\) | |||||||
\(594\) | 4.97492 | − | 1.13549i | 0.204123 | − | 0.0465898i | ||||
\(595\) | 2.93293 | + | 1.50901i | 0.120238 | + | 0.0618633i | ||||
\(596\) | − | 3.89453i | − | 0.159526i | ||||||
\(597\) | −20.5094 | + | 14.5522i | −0.839392 | + | 0.595580i | ||||
\(598\) | −32.7499 | − | 10.4383i | −1.33924 | − | 0.426855i | ||||
\(599\) | −8.54616 | + | 24.4235i | −0.349187 | + | 0.997918i | 0.626628 | + | 0.779318i | \(0.284435\pi\) |
−0.975815 | + | 0.218600i | \(0.929851\pi\) | |||||||
\(600\) | −6.28486 | + | 8.35112i | −0.256579 | + | 0.340933i | ||||
\(601\) | −1.57789 | − | 1.05432i | −0.0643636 | − | 0.0430064i | 0.522972 | − | 0.852350i | \(-0.324823\pi\) |
−0.587336 | + | 0.809343i | \(0.699823\pi\) | |||||||
\(602\) | 0.943917 | + | 8.77011i | 0.0384712 | + | 0.357443i | ||||
\(603\) | 47.5231 | + | 19.6847i | 1.93529 | + | 0.801624i | ||||
\(604\) | 39.0906 | + | 43.7424i | 1.59057 | + | 1.77985i | ||||
\(605\) | −7.64188 | − | 10.1543i | −0.310687 | − | 0.412830i | ||||
\(606\) | −4.26174 | − | 50.5251i | −0.173122 | − | 2.05244i | ||||
\(607\) | −6.54022 | + | 0.183501i | −0.265459 | + | 0.00744807i | −0.160528 | − | 0.987031i | \(-0.551320\pi\) |
−0.104932 | + | 0.994479i | \(0.533462\pi\) | |||||||
\(608\) | −34.0194 | − | 34.0194i | −1.37967 | − | 1.37967i | ||||
\(609\) | −6.29831 | − | 9.42609i | −0.255221 | − | 0.381965i | ||||
\(610\) | −6.58420 | + | 4.67174i | −0.266586 | + | 0.189153i | ||||
\(611\) | 0.765505 | + | 0.610470i | 0.0309690 | + | 0.0246970i | ||||
\(612\) | −39.2624 | − | 12.4421i | −1.58709 | − | 0.502942i | ||||
\(613\) | 21.9305 | − | 27.5000i | 0.885765 | − | 1.11071i | −0.107425 | − | 0.994213i | \(-0.534261\pi\) |
0.993191 | − | 0.116501i | \(-0.0371679\pi\) | |||||||
\(614\) | −2.70407 | − | 0.151857i | −0.109127 | − | 0.00612846i | ||||
\(615\) | 9.60485 | − | 10.1594i | 0.387305 | − | 0.409666i | ||||
\(616\) | −0.690951 | + | 0.241774i | −0.0278392 | + | 0.00974136i | ||||
\(617\) | 38.7599 | − | 20.0239i | 1.56042 | − | 0.806130i | 0.560656 | − | 0.828049i | \(-0.310549\pi\) |
0.999760 | + | 0.0219187i | \(0.00697749\pi\) | |||||||
\(618\) | −6.87148 | − | 7.26820i | −0.276411 | − | 0.292370i | ||||
\(619\) | −19.0893 | − | 0.535595i | −0.767264 | − | 0.0215274i | −0.357734 | − | 0.933824i | \(-0.616450\pi\) |
−0.409531 | + | 0.912296i | \(0.634308\pi\) | |||||||
\(620\) | 1.21592 | + | 21.6514i | 0.0488324 | + | 0.869541i | ||||
\(621\) | 3.28314 | + | 11.3960i | 0.131748 | + | 0.457307i | ||||
\(622\) | −26.2985 | − | 13.5861i | −1.05447 | − | 0.544753i | ||||
\(623\) | 0.442612 | + | 0.0624865i | 0.0177329 | + | 0.00250347i | ||||
\(624\) | −5.60480 | − | 21.7280i | −0.224372 | − | 0.869817i | ||||
\(625\) | 3.43207 | − | 0.386702i | 0.137283 | − | 0.0154681i | ||||
\(626\) | −3.19315 | − | 1.01775i | −0.127624 | − | 0.0406774i | ||||
\(627\) | −10.5888 | + | 11.8489i | −0.422875 | + | 0.473198i | ||||
\(628\) | −9.72723 | + | 42.6178i | −0.388159 | + | 1.70063i | ||||
\(629\) | −0.142686 | + | 1.28560i | −0.00568925 | + | 0.0512603i | ||||
\(630\) | −5.22707 | + | 4.16845i | −0.208251 | + | 0.166075i | ||||
\(631\) | 21.5379 | + | 1.20954i | 0.857409 | + | 0.0481511i | 0.479343 | − | 0.877628i | \(-0.340875\pi\) |
0.378066 | + | 0.925779i | \(0.376589\pi\) | |||||||
\(632\) | −3.91850 | − | 3.70462i | −0.155870 | − | 0.147362i | ||||
\(633\) | 40.9877 | − | 14.3422i | 1.62912 | − | 0.570052i | ||||
\(634\) | −17.3307 | + | 14.6345i | −0.688291 | + | 0.581210i | ||||
\(635\) | 10.7442 | − | 10.1577i | 0.426369 | − | 0.403096i | ||||
\(636\) | −2.23292 | + | 4.32224i | −0.0885412 | + | 0.171388i | ||||
\(637\) | 3.62968 | − | 21.3628i | 0.143813 | − | 0.846423i | ||||
\(638\) | −5.52556 | + | 13.3399i | −0.218759 | + | 0.528131i | ||||
\(639\) | −5.86608 | − | 29.4908i | −0.232058 | − | 1.16664i | ||||
\(640\) | −4.08075 | + | 10.6904i | −0.161306 | + | 0.422576i | ||||
\(641\) | −37.5269 | + | 19.3869i | −1.48222 | + | 0.765735i | −0.994246 | − | 0.107120i | \(-0.965837\pi\) |
−0.487979 | + | 0.872856i | \(0.662266\pi\) | |||||||
\(642\) | 86.8806 | + | 30.4008i | 3.42890 | + | 1.19982i | ||||
\(643\) | 22.0432 | − | 3.11198i | 0.869299 | − | 0.122725i | 0.309047 | − | 0.951047i | \(-0.399990\pi\) |
0.560252 | + | 0.828322i | \(0.310704\pi\) | |||||||
\(644\) | −3.02114 | − | 7.29368i | −0.119050 | − | 0.287411i | ||||
\(645\) | 11.2096 | − | 18.7884i | 0.441376 | − | 0.739791i | ||||
\(646\) | 51.0788 | − | 16.3740i | 2.00967 | − | 0.644226i | ||||
\(647\) | −18.0706 | + | 37.5240i | −0.710428 | + | 1.47522i | 0.162161 | + | 0.986764i | \(0.448154\pi\) |
−0.872589 | + | 0.488455i | \(0.837561\pi\) | |||||||
\(648\) | −4.21813 | + | 4.72008i | −0.165704 | + | 0.185422i | ||||
\(649\) | 2.60729 | − | 8.18029i | 0.102345 | − | 0.321104i | ||||
\(650\) | 12.6295 | − | 20.0997i | 0.495369 | − | 0.788376i | ||||
\(651\) | 2.17011 | − | 10.9099i | 0.0850533 | − | 0.427592i | ||||
\(652\) | 2.79719 | + | 1.86902i | 0.109546 | + | 0.0731965i | ||||
\(653\) | 10.1380 | + | 22.6562i | 0.396730 | + | 0.886605i | 0.996272 | + | 0.0862621i | \(0.0274922\pi\) |
−0.599542 | + | 0.800343i | \(0.704651\pi\) | |||||||
\(654\) | −0.363314 | + | 0.200797i | −0.0142067 | + | 0.00785177i | ||||
\(655\) | −3.21878 | − | 2.28385i | −0.125768 | − | 0.0892373i | ||||
\(656\) | −4.99942 | + | 9.67731i | −0.195194 | + | 0.377835i | ||||
\(657\) | −3.85413 | + | 2.27350i | −0.150364 | + | 0.0886975i | ||||
\(658\) | 0.0112548 | + | 0.401136i | 0.000438758 | + | 0.0156379i | ||||
\(659\) | −15.3169 | − | 43.7732i | −0.596663 | − | 1.70516i | −0.703325 | − | 0.710868i | \(-0.748302\pi\) |
0.106662 | − | 0.994295i | \(-0.465984\pi\) | |||||||
\(660\) | 8.02738 | + | 2.55856i | 0.312465 | + | 0.0995917i | ||||
\(661\) | −1.06715 | − | 6.28081i | −0.0415074 | − | 0.244295i | 0.957521 | − | 0.288363i | \(-0.0931111\pi\) |
−0.999029 | + | 0.0440679i | \(0.985968\pi\) | |||||||
\(662\) | 61.9738 | + | 14.1451i | 2.40868 | + | 0.549765i | ||||
\(663\) | 34.7140 | + | 7.86246i | 1.34818 | + | 0.305353i | ||||
\(664\) | −7.65151 | + | 6.10187i | −0.296936 | + | 0.236799i | ||||
\(665\) | 1.35075 | − | 4.68856i | 0.0523798 | − | 0.181814i | ||||
\(666\) | −2.25826 | − | 1.33211i | −0.0875056 | − | 0.0516182i | ||||
\(667\) | −31.6744 | − | 11.0834i | −1.22644 | − | 0.429150i | ||||
\(668\) | 35.2340 | + | 41.7254i | 1.36324 | + | 1.61440i | ||||
\(669\) | −24.6266 | + | 2.07723i | −0.952121 | + | 0.0803105i | ||||
\(670\) | 21.3577 | + | 28.3795i | 0.825121 | + | 1.09639i | ||||
\(671\) | −2.41054 | − | 1.71037i | −0.0930579 | − | 0.0660281i | ||||
\(672\) | 7.57160 | − | 10.6712i | 0.292081 | − | 0.411650i | ||||
\(673\) | 13.8058 | − | 16.3493i | 0.532173 | − | 0.630220i | −0.429944 | − | 0.902855i | \(-0.641467\pi\) |
0.962117 | + | 0.272636i | \(0.0878954\pi\) | |||||||
\(674\) | 20.1092 | − | 11.8621i | 0.774578 | − | 0.456912i | ||||
\(675\) | −8.18700 | + | 0.229705i | −0.315118 | + | 0.00884135i | ||||
\(676\) | 1.87618 | + | 5.36181i | 0.0721607 | + | 0.206223i | ||||
\(677\) | −41.2503 | − | 3.47942i | −1.58538 | − | 0.133725i | −0.741758 | − | 0.670668i | \(-0.766008\pi\) |
−0.843619 | + | 0.536943i | \(0.819579\pi\) | |||||||
\(678\) | −55.3208 | + | 9.39938i | −2.12458 | + | 0.360981i | ||||
\(679\) | −3.41625 | + | 4.28385i | −0.131104 | + | 0.164399i | ||||
\(680\) | −4.09146 | − | 4.56303i | −0.156900 | − | 0.174984i | ||||
\(681\) | 55.9601 | 2.14439 | ||||||||
\(682\) | −13.0892 | + | 5.42172i | −0.501211 | + | 0.207608i | ||||
\(683\) | −27.2262 | + | 28.7981i | −1.04178 | + | 1.10193i | −0.0471035 | + | 0.998890i | \(0.514999\pi\) |
−0.994677 | + | 0.103038i | \(0.967144\pi\) | |||||||
\(684\) | −6.82169 | + | 60.5442i | −0.260834 | + | 2.31497i | ||||
\(685\) | −6.40885 | − | 24.8450i | −0.244869 | − | 0.949280i | ||||
\(686\) | 15.7596 | − | 9.29632i | 0.601703 | − | 0.354935i | ||||
\(687\) | 39.4309 | − | 7.84330i | 1.50438 | − | 0.299241i | ||||
\(688\) | −4.33967 | + | 16.4834i | −0.165448 | + | 0.628425i | ||||
\(689\) | 0.911224 | − | 2.19989i | 0.0347149 | − | 0.0838091i | ||||
\(690\) | −8.72780 | + | 33.8349i | −0.332262 | + | 1.28807i | ||||
\(691\) | −6.02355 | + | 42.6668i | −0.229147 | + | 1.62312i | 0.452726 | + | 0.891650i | \(0.350452\pi\) |
−0.681872 | + | 0.731471i | \(0.738834\pi\) | |||||||
\(692\) | −20.4403 | − | 39.5661i | −0.777025 | − | 1.50408i | ||||
\(693\) | −2.07252 | − | 1.30225i | −0.0787285 | − | 0.0494684i | ||||
\(694\) | −22.4817 | + | 15.0218i | −0.853395 | + | 0.570221i | ||||
\(695\) | 7.01708 | + | 16.9407i | 0.266173 | + | 0.642599i | ||||
\(696\) | 4.68736 | + | 20.5367i | 0.177674 | + | 0.778440i | ||||
\(697\) | −10.0215 | − | 14.0742i | −0.379590 | − | 0.533100i | ||||
\(698\) | 0.733694 | − | 3.21452i | 0.0277707 | − | 0.121672i | ||||
\(699\) | 39.1525 | + | 11.2797i | 1.48088 | + | 0.426636i | ||||
\(700\) | 5.39851 | − | 0.762144i | 0.204045 | − | 0.0288063i | ||||
\(701\) | 11.0739 | + | 6.95816i | 0.418254 | + | 0.262806i | 0.724676 | − | 0.689089i | \(-0.241989\pi\) |
−0.306423 | + | 0.951896i | \(0.599132\pi\) | |||||||
\(702\) | −10.1670 | + | 13.5096i | −0.383729 | + | 0.509887i | ||||
\(703\) | 1.90669 | − | 0.160828i | 0.0719123 | − | 0.00606573i | ||||
\(704\) | −11.5111 | − | 0.322969i | −0.433840 | − | 0.0121724i | ||||
\(705\) | 0.575971 | − | 0.811755i | 0.0216923 | − | 0.0305725i | ||||
\(706\) | 34.9744 | − | 1.96412i | 1.31628 | − | 0.0739207i | ||||
\(707\) | −3.67740 | + | 4.35492i | −0.138303 | + | 0.163784i | ||||
\(708\) | −17.6506 | − | 55.3781i | −0.663350 | − | 2.08124i | ||||
\(709\) | −17.7814 | + | 4.58676i | −0.667794 | + | 0.172259i | −0.568354 | − | 0.822784i | \(-0.692419\pi\) |
−0.0994401 | + | 0.995044i | \(0.531705\pi\) | |||||||
\(710\) | 6.85733 | − | 19.5971i | 0.257351 | − | 0.735467i | ||||
\(711\) | 1.51550 | − | 17.9670i | 0.0568358 | − | 0.673817i | ||||
\(712\) | −0.726942 | − | 0.401767i | −0.0272433 | − | 0.0150568i | ||||
\(713\) | −14.2865 | − | 29.6661i | −0.535032 | − | 1.11101i | ||||
\(714\) | 6.71718 | + | 12.9495i | 0.251384 | + | 0.484621i | ||||
\(715\) | −4.02034 | − | 0.917617i | −0.150352 | − | 0.0343169i | ||||
\(716\) | −0.475342 | − | 0.262712i | −0.0177644 | − | 0.00981802i | ||||
\(717\) | 6.29031 | − | 0.888044i | 0.234916 | − | 0.0331646i | ||||
\(718\) | −20.3798 | + | 32.4343i | −0.760568 | + | 1.21044i | ||||
\(719\) | 5.81887 | − | 7.73193i | 0.217007 | − | 0.288352i | −0.677391 | − | 0.735623i | \(-0.736890\pi\) |
0.894399 | + | 0.447271i | \(0.147604\pi\) | |||||||
\(720\) | −12.3092 | + | 3.92329i | −0.458736 | + | 0.146212i | ||||
\(721\) | −0.0315347 | + | 1.12394i | −0.00117441 | + | 0.0418577i | ||||
\(722\) | −18.7791 | − | 33.9782i | −0.698885 | − | 1.26454i | ||||
\(723\) | 10.4146 | + | 1.76951i | 0.387323 | + | 0.0658088i | ||||
\(724\) | 39.7395 | − | 7.90467i | 1.47691 | − | 0.293775i | ||||
\(725\) | 12.8753 | − | 19.2693i | 0.478177 | − | 0.715643i | ||||
\(726\) | −1.57641 | − | 56.1853i | −0.0585060 | − | 2.08523i | ||||
\(727\) | 41.0829 | + | 4.62893i | 1.52368 | + | 0.171678i | 0.833727 | − | 0.552177i | \(-0.186203\pi\) |
0.689953 | + | 0.723854i | \(0.257631\pi\) | |||||||
\(728\) | 1.23235 | − | 2.08913i | 0.0456739 | − | 0.0774285i | ||||
\(729\) | −40.1616 | − | 2.25543i | −1.48747 | − | 0.0835344i | ||||
\(730\) | −3.08978 | −0.114358 | ||||||||
\(731\) | −20.1000 | − | 18.0828i | −0.743427 | − | 0.668818i | ||||
\(732\) | −20.0091 | −0.739557 | ||||||||
\(733\) | −4.57692 | − | 0.257034i | −0.169052 | − | 0.00949377i | −0.0286570 | − | 0.999589i | \(-0.509123\pi\) |
−0.140395 | + | 0.990096i | \(0.544837\pi\) | |||||||
\(734\) | −1.77462 | + | 3.00843i | −0.0655026 | + | 0.111043i | ||||
\(735\) | −21.8893 | − | 2.46633i | −0.807399 | − | 0.0909720i | ||||
\(736\) | −1.08627 | − | 38.7160i | −0.0400403 | − | 1.42709i | ||||
\(737\) | −7.22441 | + | 10.8121i | −0.266114 | + | 0.398268i | ||||
\(738\) | 34.3482 | − | 6.83227i | 1.26437 | − | 0.251499i | ||||
\(739\) | 20.9385 | + | 3.55759i | 0.770234 | + | 0.130868i | 0.539314 | − | 0.842105i | \(-0.318684\pi\) |
0.230920 | + | 0.972973i | \(0.425826\pi\) | |||||||
\(740\) | −0.490740 | − | 0.887926i | −0.0180399 | − | 0.0326408i | ||||
\(741\) | 1.47672 | − | 52.6322i | 0.0542485 | − | 1.93349i | ||||
\(742\) | 0.929830 | − | 0.296364i | 0.0341351 | − | 0.0108798i | ||||
\(743\) | −26.3982 | + | 35.0770i | −0.968454 | + | 1.28685i | −0.0104954 | + | 0.999945i | \(0.503341\pi\) |
−0.957959 | + | 0.286905i | \(0.907373\pi\) | |||||||
\(744\) | −10.9965 | + | 17.5009i | −0.403153 | + | 0.641614i | ||||
\(745\) | 1.91872 | − | 0.270878i | 0.0702963 | − | 0.00992419i | ||||
\(746\) | −13.3560 | − | 7.38163i | −0.489000 | − | 0.270261i | ||||
\(747\) | −31.9032 | − | 7.28169i | −1.16728 | − | 0.266423i | ||||
\(748\) | 5.02126 | − | 9.12112i | 0.183595 | − | 0.333501i | ||||
\(749\) | −4.48948 | − | 9.32251i | −0.164042 | − | 0.340637i | ||||
\(750\) | −52.2621 | − | 28.8843i | −1.90834 | − | 1.05470i | ||||
\(751\) | 1.39319 | − | 16.5170i | 0.0508383 | − | 0.602713i | −0.924381 | − | 0.381471i | \(-0.875418\pi\) |
0.975219 | − | 0.221242i | \(-0.0710111\pi\) | |||||||
\(752\) | −0.256117 | + | 0.731939i | −0.00933961 | + | 0.0266911i | ||||
\(753\) | 76.4986 | − | 19.7330i | 2.78776 | − | 0.719111i | ||||
\(754\) | −14.5286 | − | 45.5831i | −0.529101 | − | 1.66004i | ||||
\(755\) | −18.8316 | + | 22.3011i | −0.685353 | + | 0.811622i | ||||
\(756\) | −3.87720 | + | 0.217739i | −0.141012 | + | 0.00791908i | ||||
\(757\) | −26.3887 | + | 37.1913i | −0.959112 | + | 1.35174i | −0.0231153 | + | 0.999733i | \(0.507358\pi\) |
−0.935997 | + | 0.352009i | \(0.885499\pi\) | |||||||
\(758\) | 1.76625 | + | 0.0495561i | 0.0641530 | + | 0.00179996i | ||||
\(759\) | −12.7475 | + | 1.07524i | −0.462705 | + | 0.0390287i | ||||
\(760\) | −5.45166 | + | 7.24399i | −0.197753 | + | 0.262767i | ||||
\(761\) | 18.1035 | + | 11.3752i | 0.656253 | + | 0.412351i | 0.818585 | − | 0.574385i | \(-0.194759\pi\) |
−0.162333 | + | 0.986736i | \(0.551902\pi\) | |||||||
\(762\) | 64.7519 | − | 9.14145i | 2.34571 | − | 0.331160i | ||||
\(763\) | 0.0448403 | + | 0.0129183i | 0.00162333 | + | 0.000467672i | ||||
\(764\) | −7.52372 | + | 32.9636i | −0.272198 | + | 1.19258i | ||||
\(765\) | 3.39901 | − | 20.2088i | 0.122891 | − | 0.730650i | ||||
\(766\) | −8.05521 | − | 35.2922i | −0.291047 | − | 1.27516i | ||||
\(767\) | 10.8867 | + | 26.2827i | 0.393094 | + | 0.949014i | ||||
\(768\) | 8.77034 | − | 5.86016i | 0.316472 | − | 0.211460i | ||||
\(769\) | 23.7652 | + | 14.9327i | 0.856996 | + | 0.538486i | 0.887373 | − | 0.461052i | \(-0.152528\pi\) |
−0.0303773 | + | 0.999539i | \(0.509671\pi\) | |||||||
\(770\) | −0.775736 | − | 1.50158i | −0.0279556 | − | 0.0541133i | ||||
\(771\) | −3.84601 | + | 27.2426i | −0.138511 | + | 0.981117i | ||||
\(772\) | −4.17100 | + | 16.1696i | −0.150118 | + | 0.581958i | ||||
\(773\) | 7.80620 | − | 18.8458i | 0.280770 | − | 0.677838i | −0.719085 | − | 0.694923i | \(-0.755439\pi\) |
0.999854 | + | 0.0170851i | \(0.00543861\pi\) | |||||||
\(774\) | 50.1343 | − | 22.1345i | 1.80204 | − | 0.795607i | ||||
\(775\) | 22.3025 | − | 4.43624i | 0.801129 | − | 0.159354i | ||||
\(776\) | 8.76907 | − | 5.17274i | 0.314791 | − | 0.185691i | ||||
\(777\) | 0.129983 | + | 0.503902i | 0.00466310 | + | 0.0180774i | ||||
\(778\) | −0.683270 | + | 6.06419i | −0.0244964 | + | 0.217412i | ||||
\(779\) | −17.5587 | + | 18.5724i | −0.629106 | + | 0.665427i | ||||
\(780\) | −25.7914 | + | 10.6832i | −0.923481 | + | 0.382518i | ||||
\(781\) | 7.60126 | 0.271994 | ||||||||
\(782\) | 38.9365 | + | 18.6711i | 1.39237 | + | 0.667676i | ||||
\(783\) | −10.2918 | + | 12.9055i | −0.367798 | + | 0.461204i | ||||
\(784\) | 16.9192 | − | 2.87468i | 0.604256 | − | 0.102667i | ||||
\(785\) | −21.6730 | − | 1.82810i | −0.773543 | − | 0.0652476i | ||||
\(786\) | −5.76518 | − | 16.4759i | −0.205637 | − | 0.587678i | ||||
\(787\) | 36.7966 | − | 1.03241i | 1.31166 | − | 0.0368015i | 0.634662 | − | 0.772790i | \(-0.281139\pi\) |
0.676994 | + | 0.735988i | \(0.263282\pi\) | |||||||
\(788\) | 32.4389 | − | 19.1352i | 1.15559 | − | 0.681664i | ||||
\(789\) | 6.62476 | − | 7.84529i | 0.235848 | − | 0.279300i | ||||
\(790\) | 7.20460 | − | 10.1539i | 0.256328 | − | 0.361261i | ||||
\(791\) | 5.14450 | + | 3.65022i | 0.182918 | + | 0.129787i | ||||
\(792\) | 2.73484 | + | 3.63397i | 0.0971784 | + | 0.129127i | ||||
\(793\) | 9.75877 | − | 0.823142i | 0.346544 | − | 0.0292306i | ||||
\(794\) | −31.4674 | − | 37.2649i | −1.11674 | − | 1.32248i | ||||
\(795\) | −2.28474 | − | 0.799467i | −0.0810315 | − | 0.0283542i | ||||
\(796\) | −20.9940 | − | 12.3841i | −0.744114 | − | 0.438942i | ||||
\(797\) | 13.7272 | − | 47.6483i | 0.486244 | − | 1.68779i | −0.216448 | − | 0.976294i | \(-0.569447\pi\) |
0.702691 | − | 0.711495i | \(-0.251981\pi\) | |||||||
\(798\) | 16.8719 | − | 13.4549i | 0.597258 | − | 0.476297i | ||||
\(799\) | −0.846513 | − | 0.892405i | −0.0299475 | − | 0.0315710i | ||||
\(800\) | 26.0773 | + | 5.95196i | 0.921970 | + | 0.210434i | ||||
\(801\) | −0.465200 | − | 2.73797i | −0.0164370 | − | 0.0967414i | ||||
\(802\) | −30.6490 | − | 9.76872i | −1.08225 | − | 0.344946i | ||||
\(803\) | −0.373612 | − | 1.06772i | −0.0131845 | − | 0.0376790i | ||||
\(804\) | 2.46892 | + | 87.9957i | 0.0870722 | + | 3.10337i | ||||
\(805\) | 3.38324 | − | 1.99572i | 0.119244 | − | 0.0703400i | ||||
\(806\) | 21.5461 | − | 41.7066i | 0.758930 | − | 1.46905i | ||||
\(807\) | −20.0186 | − | 14.2040i | −0.704688 | − | 0.500003i | ||||
\(808\) | 9.26951 | − | 5.12308i | 0.326100 | − | 0.180229i | ||||
\(809\) | 0.415783 | + | 0.929183i | 0.0146181 | + | 0.0326683i | 0.919946 | − | 0.392045i | \(-0.128232\pi\) |
−0.905328 | + | 0.424713i | \(0.860375\pi\) | |||||||
\(810\) | −12.1522 | − | 8.11984i | −0.426985 | − | 0.285302i | ||||
\(811\) | 6.27378 | − | 31.5404i | 0.220302 | − | 1.10753i | −0.699343 | − | 0.714786i | \(-0.746524\pi\) |
0.919646 | − | 0.392749i | \(-0.128476\pi\) | |||||||
\(812\) | 5.84605 | − | 9.30394i | 0.205156 | − | 0.326504i | ||||
\(813\) | 9.33667 | − | 29.2935i | 0.327451 | − | 1.02737i | ||||
\(814\) | 0.441658 | − | 0.494215i | 0.0154801 | − | 0.0173222i | ||||
\(815\) | −0.726256 | + | 1.50809i | −0.0254396 | + | 0.0528259i | ||||
\(816\) | 3.20286 | + | 28.0071i | 0.112123 | + | 0.980443i | ||||
\(817\) | −20.4923 | + | 34.3471i | −0.716934 | + | 1.20165i | ||||
\(818\) | 18.6232 | + | 44.9604i | 0.651145 | + | 1.57200i | ||||
\(819\) | 8.03059 | − | 1.13373i | 0.280612 | − | 0.0396158i | ||||
\(820\) | 12.7907 | + | 4.47565i | 0.446670 | + | 0.156297i | ||||
\(821\) | 40.1750 | − | 20.7549i | 1.40212 | − | 0.724351i | 0.419113 | − | 0.907934i | \(-0.362341\pi\) |
0.983004 | + | 0.183583i | \(0.0587698\pi\) | |||||||
\(822\) | 40.4699 | − | 106.020i | 1.41155 | − | 3.69787i | ||||
\(823\) | 4.22351 | + | 21.2330i | 0.147222 | + | 0.740137i | 0.981900 | + | 0.189398i | \(0.0606538\pi\) |
−0.834678 | + | 0.550738i | \(0.814346\pi\) | |||||||
\(824\) | 0.799514 | − | 1.93020i | 0.0278524 | − | 0.0672416i | ||||
\(825\) | 1.47987 | − | 8.70990i | 0.0515225 | − | 0.303240i | ||||
\(826\) | −5.35153 | + | 10.3589i | −0.186204 | + | 0.360432i | ||||
\(827\) | 15.7280 | − | 14.8695i | 0.546916 | − | 0.517064i | −0.363037 | − | 0.931775i | \(-0.618260\pi\) |
0.909953 | + | 0.414711i | \(0.136117\pi\) | |||||||
\(828\) | −37.4753 | + | 31.6451i | −1.30236 | + | 1.09974i | ||||
\(829\) | −35.7413 | + | 12.5064i | −1.24135 | + | 0.434366i | −0.869502 | − | 0.493929i | \(-0.835560\pi\) |
−0.371844 | + | 0.928295i | \(0.621274\pi\) | |||||||
\(830\) | −16.4193 | − | 15.5231i | −0.569922 | − | 0.538814i | ||||
\(831\) | −61.2834 | − | 3.44160i | −2.12590 | − | 0.119388i | ||||
\(832\) | 29.8316 | − | 23.7899i | 1.03422 | − | 0.824766i | ||||
\(833\) | −8.22346 | + | 25.9500i | −0.284926 | + | 0.899115i | ||||
\(834\) | −18.0462 | + | 79.0654i | −0.624887 | + | 2.73781i | ||||
\(835\) | −18.1062 | + | 20.2608i | −0.626591 | + | 0.701155i | ||||
\(836\) | −14.6749 | − | 4.67732i | −0.507543 | − | 0.161768i | ||||
\(837\) | −16.0947 | + | 1.81343i | −0.556313 | + | 0.0626814i | ||||
\(838\) | −5.55397 | − | 21.5310i | −0.191859 | − | 0.743775i | ||||
\(839\) | −12.0067 | − | 1.69507i | −0.414518 | − | 0.0585202i | −0.0705653 | − | 0.997507i | \(-0.522480\pi\) |
−0.343953 | + | 0.938987i | \(0.611766\pi\) | |||||||
\(840\) | −2.19064 | − | 1.13171i | −0.0755841 | − | 0.0390477i | ||||
\(841\) | −4.90198 | − | 17.0152i | −0.169034 | − | 0.586730i | ||||
\(842\) | −1.56377 | − | 27.8456i | −0.0538912 | − | 0.959623i | ||||
\(843\) | −13.8675 | − | 0.389086i | −0.477624 | − | 0.0134008i | ||||
\(844\) | 28.9154 | + | 30.5848i | 0.995310 | + | 1.05277i | ||||
\(845\) | −2.51111 | + | 1.29727i | −0.0863846 | + | 0.0446274i | ||||
\(846\) | 2.35332 | − | 0.823462i | 0.0809087 | − | 0.0283112i | ||||
\(847\) | −4.34078 | + | 4.59139i | −0.149151 | + | 0.157762i | ||||
\(848\) | 1.88288 | + | 0.105740i | 0.0646585 | + | 0.00363114i | ||||
\(849\) | −37.9517 | + | 47.5899i | −1.30250 | + | 1.63328i | ||||
\(850\) | −19.2020 | + | 22.8167i | −0.658623 | + | 0.782606i | ||||
\(851\) | 1.20435 | + | 0.960437i | 0.0412846 | + | 0.0329233i | ||||
\(852\) | 41.9673 | − | 29.7774i | 1.43778 | − | 1.02016i | ||||
\(853\) | −27.9284 | − | 41.7978i | −0.956250 | − | 1.43113i | −0.901574 | − | 0.432624i | \(-0.857588\pi\) |
−0.0546754 | − | 0.998504i | \(-0.517412\pi\) | |||||||
\(854\) | 2.83823 | + | 2.83823i | 0.0971221 | + | 0.0971221i | ||||
\(855\) | −30.3027 | + | 0.850213i | −1.03633 | + | 0.0290767i | ||||
\(856\) | 1.61598 | + | 19.1583i | 0.0552330 | + | 0.654816i | ||||
\(857\) | 4.49521 | + | 5.97309i | 0.153553 | + | 0.204037i | 0.869248 | − | 0.494377i | \(-0.164604\pi\) |
−0.715694 | + | 0.698414i | \(0.753890\pi\) | |||||||
\(858\) | −12.1531 | − | 13.5993i | −0.414901 | − | 0.464274i | ||||
\(859\) | 44.4220 | + | 18.4002i | 1.51566 | + | 0.627806i | 0.976716 | − | 0.214537i | \(-0.0688242\pi\) |
0.538942 | + | 0.842343i | \(0.318824\pi\) | |||||||
\(860\) | 21.0602 | + | 2.47926i | 0.718147 | + | 0.0845422i | ||||
\(861\) | −5.77960 | − | 3.86181i | −0.196968 | − | 0.131610i | ||||
\(862\) | −5.15398 | + | 6.84844i | −0.175545 | + | 0.233259i | ||||
\(863\) | −5.01018 | + | 14.3183i | −0.170549 | + | 0.487400i | −0.997155 | − | 0.0753808i | \(-0.975983\pi\) |
0.826606 | + | 0.562781i | \(0.190268\pi\) | |||||||
\(864\) | −18.1519 | − | 5.78553i | −0.617540 | − | 0.196828i | ||||
\(865\) | 18.0713 | − | 12.8223i | 0.614443 | − | 0.435971i | ||||
\(866\) | − | 4.81536i | − | 0.163633i | ||||||
\(867\) | −41.8273 | − | 15.8070i | −1.42053 | − | 0.536832i | ||||
\(868\) | 10.5113 | − | 2.39914i | 0.356778 | − | 0.0814322i | ||||
\(869\) | 4.38001 | + | 1.26186i | 0.148582 | + | 0.0428057i | ||||
\(870\) | −45.4370 | + | 17.3442i | −1.54046 | + | 0.588024i | ||||
\(871\) | −4.82414 | − | 42.8154i | −0.163460 | − | 1.45075i | ||||
\(872\) | −0.0692799 | − | 0.0521384i | −0.00234611 | − | 0.00176563i | ||||
\(873\) | 31.8041 | + | 12.1403i | 1.07641 | + | 0.410885i | ||||
\(874\) | 15.9554 | − | 61.8538i | 0.539698 | − | 2.09224i | ||||
\(875\) | 1.85827 | + | 6.45020i | 0.0628210 | + | 0.218056i | ||||
\(876\) | −6.24547 | − | 4.43140i | −0.211015 | − | 0.149723i | ||||
\(877\) | 1.11466 | − | 39.7281i | 0.0376395 | − | 1.34152i | −0.722323 | − | 0.691555i | \(-0.756926\pi\) |
0.759963 | − | 0.649966i | \(-0.225217\pi\) | |||||||
\(878\) | −6.01342 | + | 42.5950i | −0.202943 | + | 1.43751i | ||||
\(879\) | −36.7452 | + | 18.9830i | −1.23938 | + | 0.640281i | ||||
\(880\) | −0.365673 | − | 3.24544i | −0.0123268 | − | 0.109404i | ||||
\(881\) | 0.0182059 | − | 0.0308635i | 0.000613373 | − | 0.00103982i | −0.861006 | − | 0.508595i | \(-0.830165\pi\) |
0.861619 | + | 0.507555i | \(0.169451\pi\) | |||||||
\(882\) | −41.1429 | − | 36.7676i | −1.38535 | − | 1.23803i | ||||
\(883\) | 19.4552 | + | 15.5150i | 0.654720 | + | 0.522122i | 0.893564 | − | 0.448936i | \(-0.148197\pi\) |
−0.238844 | + | 0.971058i | \(0.576768\pi\) | |||||||
\(884\) | 6.78674 | + | 33.8249i | 0.228263 | + | 1.13765i | ||||
\(885\) | 26.0554 | − | 12.5476i | 0.875844 | − | 0.421784i | ||||
\(886\) | 10.4383 | + | 61.4354i | 0.350682 | + | 2.06396i | ||||
\(887\) | 3.25239 | + | 8.52036i | 0.109205 | + | 0.286086i | 0.977836 | − | 0.209374i | \(-0.0671426\pi\) |
−0.868631 | + | 0.495459i | \(0.835000\pi\) | |||||||
\(888\) | 0.108265 | − | 0.960875i | 0.00363312 | − | 0.0322449i | ||||
\(889\) | −5.87366 | − | 4.42039i | −0.196996 | − | 0.148255i | ||||
\(890\) | 0.683877 | − | 1.79157i | 0.0229236 | − | 0.0600534i | ||||
\(891\) | 1.33651 | − | 5.18122i | 0.0447747 | − | 0.173577i | ||||
\(892\) | −11.5872 | − | 20.9654i | −0.387967 | − | 0.701973i | ||||
\(893\) | −1.05294 | + | 1.48398i | −0.0352352 | + | 0.0496594i | ||||
\(894\) | 7.61419 | + | 3.93358i | 0.254657 | + | 0.131559i | ||||
\(895\) | 0.0963687 | − | 0.252459i | 0.00322125 | − | 0.00843878i | ||||
\(896\) | 5.57985 | + | 1.10990i | 0.186410 | + | 0.0370792i | ||||
\(897\) | 29.9727 | − | 29.9727i | 1.00076 | − | 1.00076i | ||||
\(898\) | −15.1226 | − | 14.2972i | −0.504648 | − | 0.477103i | ||||
\(899\) | 22.1686 | − | 40.1110i | 0.739363 | − | 1.33778i | ||||
\(900\) | −14.6971 | − | 30.5189i | −0.489904 | − | 1.01730i | ||||
\(901\) | −1.51554 | + | 2.57901i | −0.0504898 | + | 0.0859192i | ||||
\(902\) | 8.85325i | 0.294781i | ||||||||
\(903\) | −10.1428 | − | 3.92973i | −0.337531 | − | 0.130773i | ||||
\(904\) | −6.51176 | − | 9.74554i | −0.216578 | − | 0.324132i | ||||
\(905\) | 6.65840 | + | 19.0286i | 0.221333 | + | 0.632533i | ||||
\(906\) | −125.003 | + | 32.2449i | −4.15295 | + | 1.07126i | ||||
\(907\) | −38.1821 | + | 3.22063i | −1.26782 | + | 0.106939i | −0.698758 | − | 0.715358i | \(-0.746264\pi\) |
−0.569059 | + | 0.822297i | \(0.692692\pi\) | |||||||
\(908\) | 22.1539 | + | 49.5091i | 0.735203 | + | 1.64302i | ||||
\(909\) | 32.7175 | + | 13.5521i | 1.08517 | + | 0.449493i | ||||
\(910\) | 5.17381 | + | 2.14306i | 0.171510 | + | 0.0710418i | ||||
\(911\) | −51.2475 | + | 22.9318i | −1.69791 | + | 0.759764i | −0.698898 | + | 0.715221i | \(0.746326\pi\) |
−0.999007 | + | 0.0445426i | \(0.985817\pi\) | |||||||
\(912\) | 39.7314 | − | 12.6635i | 1.31564 | − | 0.419332i | ||||
\(913\) | 3.37884 | − | 7.55096i | 0.111823 | − | 0.249900i | ||||
\(914\) | 29.0278 | − | 3.27065i | 0.960155 | − | 0.108183i | ||||
\(915\) | −1.39170 | − | 9.85786i | −0.0460082 | − | 0.325891i | ||||
\(916\) | 22.5494 | + | 31.7804i | 0.745052 | + | 1.05005i | ||||
\(917\) | −0.851382 | + | 1.76791i | −0.0281151 | + | 0.0583816i | ||||
\(918\) | 14.9945 | − | 15.0445i | 0.494891 | − | 0.496542i | ||||
\(919\) | −0.484348 | + | 2.12207i | −0.0159772 | + | 0.0700006i | −0.982288 | − | 0.187377i | \(-0.940001\pi\) |
0.966311 | + | 0.257378i | \(0.0828585\pi\) | |||||||
\(920\) | −7.19556 | + | 1.22257i | −0.237231 | + | 0.0403071i | ||||
\(921\) | 1.69688 | − | 2.87663i | 0.0559141 | − | 0.0947881i | ||||
\(922\) | 0.473011 | − | 4.19809i | 0.0155778 | − | 0.138257i | ||||
\(923\) | −19.2432 | + | 16.2494i | −0.633397 | + | 0.534856i | ||||
\(924\) | 0.585567 | − | 4.14776i | 0.0192637 | − | 0.136451i | ||||
\(925\) | −0.850002 | + | 0.639692i | −0.0279479 | + | 0.0210330i | ||||
\(926\) | −77.0516 | + | 42.5849i | −2.53207 | + | 1.39943i | ||||
\(927\) | 6.71274 | − | 1.93391i | 0.220475 | − | 0.0635178i | ||||
\(928\) | 43.0732 | − | 32.4159i | 1.41395 | − | 1.06410i | ||||
\(929\) | −31.4645 | − | 33.2810i | −1.03232 | − | 1.09192i | −0.995705 | − | 0.0925859i | \(-0.970487\pi\) |
−0.0366106 | − | 0.999330i | \(-0.511656\pi\) | |||||||
\(930\) | −43.5587 | − | 19.4913i | −1.42835 | − | 0.639144i | ||||
\(931\) | 40.0160 | + | 4.50872i | 1.31147 | + | 0.147767i | ||||
\(932\) | 5.52065 | + | 39.1046i | 0.180835 | + | 1.28091i | ||||
\(933\) | 29.7699 | − | 21.1229i | 0.974623 | − | 0.691532i | ||||
\(934\) | −18.4027 | + | 38.2136i | −0.602155 | + | 1.25039i | ||||
\(935\) | 4.84294 | + | 1.83942i | 0.158381 | + | 0.0601553i | ||||
\(936\) | −14.6919 | − | 3.35333i | −0.480219 | − | 0.109607i | ||||
\(937\) | −7.97173 | + | 27.6705i | −0.260425 | + | 0.903955i | 0.717772 | + | 0.696278i | \(0.245162\pi\) |
−0.978197 | + | 0.207677i | \(0.933410\pi\) | |||||||
\(938\) | 12.1317 | − | 12.8321i | 0.396114 | − | 0.418984i | ||||
\(939\) | 2.92237 | − | 2.92237i | 0.0953679 | − | 0.0953679i | ||||
\(940\) | 0.946198 | + | 0.188211i | 0.0308616 | + | 0.00613875i | ||||
\(941\) | −22.2474 | − | 8.49229i | −0.725245 | − | 0.276841i | −0.0339606 | − | 0.999423i | \(-0.510812\pi\) |
−0.691285 | + | 0.722583i | \(0.742955\pi\) | |||||||
\(942\) | −73.4971 | − | 62.0628i | −2.39467 | − | 2.02212i | ||||
\(943\) | −20.5434 | + | 1.15369i | −0.668986 | + | 0.0375694i | ||||
\(944\) | −16.7999 | + | 15.0133i | −0.546790 | + | 0.488642i | ||||
\(945\) | −0.376945 | − | 1.89503i | −0.0122620 | − | 0.0616454i | ||||
\(946\) | 3.01548 | + | 13.5220i | 0.0980418 | + | 0.439637i | ||||
\(947\) | −5.52296 | − | 1.09858i | −0.179472 | − | 0.0356992i | 0.104536 | − | 0.994521i | \(-0.466664\pi\) |
−0.284008 | + | 0.958822i | \(0.591664\pi\) | |||||||
\(948\) | 29.1258 | − | 10.1915i | 0.945960 | − | 0.331006i | ||||
\(949\) | 3.22832 | + | 1.90434i | 0.104796 | + | 0.0618174i | ||||
\(950\) | 38.6102 | + | 21.3391i | 1.25268 | + | 0.692332i | ||||
\(951\) | −6.22436 | − | 27.2707i | −0.201839 | − | 0.884313i | ||||
\(952\) | −1.89586 | + | 2.38547i | −0.0614453 | + | 0.0773136i | ||||
\(953\) | 17.4421i | 0.565007i | 0.959266 | + | 0.282503i | \(0.0911648\pi\) | ||||
−0.959266 | + | 0.282503i | \(0.908835\pi\) | |||||||
\(954\) | −3.50869 | − | 4.94503i | −0.113598 | − | 0.160101i | ||||
\(955\) | −16.7634 | − | 1.41398i | −0.542452 | − | 0.0457553i | ||||
\(956\) | 3.27593 | + | 5.21361i | 0.105951 | + | 0.168620i | ||||
\(957\) | −11.4877 | − | 13.6042i | −0.371345 | − | 0.439761i | ||||
\(958\) | −30.4061 | − | 51.5459i | −0.982378 | − | 1.66537i | ||||
\(959\) | −11.6442 | + | 5.21047i | −0.376012 | + | 0.168255i | ||||
\(960\) | −25.8462 | − | 28.9219i | −0.834183 | − | 0.933451i | ||||
\(961\) | 13.4222 | − | 3.86688i | 0.432975 | − | 0.124738i | ||||
\(962\) | −0.0615938 | + | 2.19529i | −0.00198586 | + | 0.0707789i | ||||
\(963\) | −46.7148 | + | 44.1649i | −1.50536 | + | 1.42320i | ||||
\(964\) | 2.55749 | + | 9.91456i | 0.0823711 | + | 0.319326i | ||||
\(965\) | −8.25639 | − | 0.930272i | −0.265783 | − | 0.0299465i | ||||
\(966\) | 17.3113 | + | 1.46019i | 0.556982 | + | 0.0469809i | ||||
\(967\) | −40.7897 | + | 45.6437i | −1.31171 | + | 1.46780i | −0.524052 | + | 0.851687i | \(0.675580\pi\) |
−0.787656 | + | 0.616115i | \(0.788706\pi\) | |||||||
\(968\) | 10.5778 | − | 5.09399i | 0.339983 | − | 0.163727i | ||||
\(969\) | −10.9713 | + | 65.2296i | −0.352448 | + | 2.09548i | ||||
\(970\) | 14.6559 | + | 18.3779i | 0.470572 | + | 0.590078i | ||||
\(971\) | 31.0517 | + | 27.7495i | 0.996495 | + | 0.890522i | 0.993990 | − | 0.109475i | \(-0.0349168\pi\) |
0.00250536 | + | 0.999997i | \(0.499203\pi\) | |||||||
\(972\) | −19.5058 | − | 51.0997i | −0.625648 | − | 1.63902i | ||||
\(973\) | 7.71924 | − | 4.85032i | 0.247467 | − | 0.155494i | ||||
\(974\) | −17.7902 | − | 34.4364i | −0.570036 | − | 1.10341i | ||||
\(975\) | 14.8730 | + | 25.2133i | 0.476316 | + | 0.807473i | ||||
\(976\) | 3.16803 | + | 7.07985i | 0.101406 | + | 0.226620i | ||||
\(977\) | −4.81239 | − | 5.38506i | −0.153962 | − | 0.172283i | 0.663669 | − | 0.748027i | \(-0.268998\pi\) |
−0.817631 | + | 0.575743i | \(0.804713\pi\) | |||||||
\(978\) | −6.47936 | + | 3.58101i | −0.207187 | + | 0.114508i | ||||
\(979\) | 0.701796 | + | 0.0196905i | 0.0224295 | + | 0.000629311i | ||||
\(980\) | −6.48369 | − | 20.3423i | −0.207114 | − | 0.649812i | ||||
\(981\) | −0.00813124 | − | 0.289808i | −0.000259611 | − | 0.00925287i | ||||
\(982\) | 53.5673 | + | 53.5673i | 1.70940 | + | 1.70940i | ||||
\(983\) | 27.1550 | + | 40.6403i | 0.866109 | + | 1.29622i | 0.953912 | + | 0.300085i | \(0.0970151\pi\) |
−0.0878039 | + | 0.996138i | \(0.527985\pi\) | |||||||
\(984\) | 7.47404 | + | 10.5337i | 0.238264 | + | 0.335801i | ||||
\(985\) | 11.6836 | + | 14.6507i | 0.372269 | + | 0.466811i | ||||
\(986\) | 10.1662 | + | 59.2366i | 0.323757 | + | 1.88648i | ||||
\(987\) | −0.445855 | − | 0.214713i | −0.0141917 | − | 0.00683438i | ||||
\(988\) | 47.1495 | − | 19.5300i | 1.50003 | − | 0.621331i | ||||
\(989\) | −30.9839 | + | 8.75933i | −0.985232 | + | 0.278530i | ||||
\(990\) | −7.42511 | + | 7.42511i | −0.235986 | + | 0.235986i | ||||
\(991\) | −1.43942 | − | 1.08328i | −0.0457248 | − | 0.0344114i | 0.578208 | − | 0.815889i | \(-0.303752\pi\) |
−0.623933 | + | 0.781478i | \(0.714466\pi\) | |||||||
\(992\) | 52.3757 | + | 7.39422i | 1.66293 | + | 0.234767i | ||||
\(993\) | −50.5746 | + | 59.8924i | −1.60494 | + | 1.90063i | ||||
\(994\) | −10.1768 | − | 1.72910i | −0.322787 | − | 0.0548438i | ||||
\(995\) | 4.64104 | − | 11.2045i | 0.147131 | − | 0.355206i | ||||
\(996\) | −10.9255 | − | 54.9260i | −0.346186 | − | 1.74040i | ||||
\(997\) | −55.7510 | − | 21.2813i | −1.76565 | − | 0.673985i | −0.999510 | − | 0.0313149i | \(-0.990031\pi\) |
−0.766143 | − | 0.642670i | \(-0.777827\pi\) | |||||||
\(998\) | 7.84435 | − | 6.62396i | 0.248308 | − | 0.209678i | ||||
\(999\) | 0.641581 | − | 0.403132i | 0.0202987 | − | 0.0127545i |
(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 | 731.2.bj.a.22.11 | ✓ | 3072 | |
17.7 | odd | 16 | inner | 731.2.bj.a.194.54 | yes | 3072 | |
43.2 | odd | 14 | inner | 731.2.bj.a.260.54 | yes | 3072 | |
731.432 | even | 112 | inner | 731.2.bj.a.432.11 | yes | 3072 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
731.2.bj.a.22.11 | ✓ | 3072 | 1.1 | even | 1 | trivial | |
731.2.bj.a.194.54 | yes | 3072 | 17.7 | odd | 16 | inner | |
731.2.bj.a.260.54 | yes | 3072 | 43.2 | odd | 14 | inner | |
731.2.bj.a.432.11 | yes | 3072 | 731.432 | even | 112 | inner |