Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [430,2,Mod(11,430)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(430, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([0, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("430.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 430 = 2 \cdot 5 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 430.k (of order \(7\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.43356728692\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{7})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 3 x^{11} + 6 x^{10} - 16 x^{9} + 44 x^{8} - 70 x^{7} + 141 x^{6} - 182 x^{5} + 270 x^{4} + \cdots + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{7}]$ |
Embedding invariants
Embedding label | 21.1 | ||
Root | \(0.963727 - 1.20848i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 430.21 |
Dual form | 430.2.k.a.41.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/430\mathbb{Z}\right)^\times\).
\(n\) | \(87\) | \(261\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{6}{7}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.900969 | − | 0.433884i | −0.637081 | − | 0.306802i | ||||
\(3\) | −0.991657 | + | 0.477557i | −0.572533 | + | 0.275718i | −0.697667 | − | 0.716422i | \(-0.745778\pi\) |
0.125133 | + | 0.992140i | \(0.460064\pi\) | |||||||
\(4\) | 0.623490 | + | 0.781831i | 0.311745 | + | 0.390916i | ||||
\(5\) | −0.222521 | − | 0.974928i | −0.0995144 | − | 0.436001i | ||||
\(6\) | 1.10066 | 0.449341 | ||||||||
\(7\) | 1.63616 | 0.618411 | 0.309205 | − | 0.950995i | \(-0.399937\pi\) | ||||
0.309205 | + | 0.950995i | \(0.399937\pi\) | |||||||
\(8\) | −0.222521 | − | 0.974928i | −0.0786730 | − | 0.344689i | ||||
\(9\) | −1.11515 | + | 1.39835i | −0.371716 | + | 0.466117i | ||||
\(10\) | −0.222521 | + | 0.974928i | −0.0703673 | + | 0.308299i | ||||
\(11\) | 0.880839 | − | 1.10454i | 0.265583 | − | 0.333030i | −0.631102 | − | 0.775700i | \(-0.717397\pi\) |
0.896685 | + | 0.442669i | \(0.145968\pi\) | |||||||
\(12\) | −0.991657 | − | 0.477557i | −0.286267 | − | 0.137859i | ||||
\(13\) | 0.400969 | + | 1.75676i | 0.111209 | + | 0.487237i | 0.999604 | + | 0.0281571i | \(0.00896385\pi\) |
−0.888395 | + | 0.459080i | \(0.848179\pi\) | |||||||
\(14\) | −1.47413 | − | 0.709904i | −0.393978 | − | 0.189730i | ||||
\(15\) | 0.686248 | + | 0.860528i | 0.177188 | + | 0.222187i | ||||
\(16\) | −0.222521 | + | 0.974928i | −0.0556302 | + | 0.243732i | ||||
\(17\) | 1.00433 | − | 4.40025i | 0.243585 | − | 1.06722i | −0.694140 | − | 0.719840i | \(-0.744215\pi\) |
0.937725 | − | 0.347378i | \(-0.112928\pi\) | |||||||
\(18\) | 1.61143 | − | 0.776025i | 0.379819 | − | 0.182911i | ||||
\(19\) | 2.89695 | + | 3.63267i | 0.664607 | + | 0.833391i | 0.993836 | − | 0.110859i | \(-0.0353603\pi\) |
−0.329229 | + | 0.944250i | \(0.606789\pi\) | |||||||
\(20\) | 0.623490 | − | 0.781831i | 0.139417 | − | 0.174823i | ||||
\(21\) | −1.62251 | + | 0.781360i | −0.354061 | + | 0.170507i | ||||
\(22\) | −1.27285 | + | 0.612972i | −0.271372 | + | 0.130686i | ||||
\(23\) | 0.414542 | − | 0.519820i | 0.0864381 | − | 0.108390i | −0.736732 | − | 0.676185i | \(-0.763632\pi\) |
0.823170 | + | 0.567795i | \(0.192203\pi\) | |||||||
\(24\) | 0.686248 | + | 0.860528i | 0.140080 | + | 0.175654i | ||||
\(25\) | −0.900969 | + | 0.433884i | −0.180194 | + | 0.0867767i | ||||
\(26\) | 0.400969 | − | 1.75676i | 0.0786365 | − | 0.344529i | ||||
\(27\) | 1.17281 | − | 5.13841i | 0.225707 | − | 0.988887i | ||||
\(28\) | 1.02013 | + | 1.27920i | 0.192786 | + | 0.241747i | ||||
\(29\) | 9.23952 | + | 4.44952i | 1.71574 | + | 0.826255i | 0.990460 | + | 0.137797i | \(0.0440022\pi\) |
0.725276 | + | 0.688458i | \(0.241712\pi\) | |||||||
\(30\) | −0.244919 | − | 1.07306i | −0.0447159 | − | 0.195913i | ||||
\(31\) | 5.89791 | + | 2.84028i | 1.05930 | + | 0.510130i | 0.880642 | − | 0.473782i | \(-0.157112\pi\) |
0.178653 | + | 0.983912i | \(0.442826\pi\) | |||||||
\(32\) | 0.623490 | − | 0.781831i | 0.110218 | − | 0.138210i | ||||
\(33\) | −0.346011 | + | 1.51597i | −0.0602327 | + | 0.263897i | ||||
\(34\) | −2.81407 | + | 3.52873i | −0.482608 | + | 0.605172i | ||||
\(35\) | −0.364080 | − | 1.59514i | −0.0615408 | − | 0.269628i | ||||
\(36\) | −1.78856 | −0.298093 | ||||||||
\(37\) | 2.34985 | 0.386314 | 0.193157 | − | 0.981168i | \(-0.438127\pi\) | ||||
0.193157 | + | 0.981168i | \(0.438127\pi\) | |||||||
\(38\) | −1.03391 | − | 4.52986i | −0.167723 | − | 0.734840i | ||||
\(39\) | −1.23658 | − | 1.55062i | −0.198011 | − | 0.248297i | ||||
\(40\) | −0.900969 | + | 0.433884i | −0.142456 | + | 0.0686030i | ||||
\(41\) | 10.9567 | + | 5.27646i | 1.71115 | + | 0.824044i | 0.991561 | + | 0.129640i | \(0.0413821\pi\) |
0.719585 | + | 0.694405i | \(0.244332\pi\) | |||||||
\(42\) | 1.80085 | 0.277877 | ||||||||
\(43\) | 5.17805 | − | 4.02341i | 0.789645 | − | 0.613564i | ||||
\(44\) | 1.41276 | 0.212981 | ||||||||
\(45\) | 1.61143 | + | 0.776025i | 0.240218 | + | 0.115683i | ||||
\(46\) | −0.599031 | + | 0.288478i | −0.0883223 | + | 0.0425338i | ||||
\(47\) | −3.02858 | − | 3.79772i | −0.441764 | − | 0.553954i | 0.510243 | − | 0.860030i | \(-0.329555\pi\) |
−0.952007 | + | 0.306076i | \(0.900984\pi\) | |||||||
\(48\) | −0.244919 | − | 1.07306i | −0.0353510 | − | 0.154883i | ||||
\(49\) | −4.32298 | −0.617568 | ||||||||
\(50\) | 1.00000 | 0.141421 | ||||||||
\(51\) | 1.10542 | + | 4.84316i | 0.154790 | + | 0.678178i | ||||
\(52\) | −1.12349 | + | 1.40881i | −0.155800 | + | 0.195367i | ||||
\(53\) | −0.561529 | + | 2.46022i | −0.0771319 | + | 0.337937i | −0.998740 | − | 0.0501849i | \(-0.984019\pi\) |
0.921608 | + | 0.388122i | \(0.126876\pi\) | |||||||
\(54\) | −3.28614 | + | 4.12068i | −0.447187 | + | 0.560754i | ||||
\(55\) | −1.27285 | − | 0.612972i | −0.171631 | − | 0.0826531i | ||||
\(56\) | −0.364080 | − | 1.59514i | −0.0486523 | − | 0.213159i | ||||
\(57\) | −4.60759 | − | 2.21890i | −0.610290 | − | 0.293900i | ||||
\(58\) | −6.39395 | − | 8.01776i | −0.839567 | − | 1.05278i | ||||
\(59\) | 1.55106 | − | 6.79565i | 0.201931 | − | 0.884719i | −0.767828 | − | 0.640656i | \(-0.778663\pi\) |
0.969759 | − | 0.244063i | \(-0.0784803\pi\) | |||||||
\(60\) | −0.244919 | + | 1.07306i | −0.0316189 | + | 0.138531i | ||||
\(61\) | −3.66747 | + | 1.76616i | −0.469572 | + | 0.226134i | −0.653678 | − | 0.756772i | \(-0.726775\pi\) |
0.184107 | + | 0.982906i | \(0.441061\pi\) | |||||||
\(62\) | −4.08148 | − | 5.11801i | −0.518348 | − | 0.649988i | ||||
\(63\) | −1.82456 | + | 2.28793i | −0.229873 | + | 0.288252i | ||||
\(64\) | −0.900969 | + | 0.433884i | −0.112621 | + | 0.0542355i | ||||
\(65\) | 1.62349 | − | 0.781831i | 0.201369 | − | 0.0969743i | ||||
\(66\) | 0.969501 | − | 1.21572i | 0.119337 | − | 0.149644i | ||||
\(67\) | −5.45014 | − | 6.83427i | −0.665841 | − | 0.834938i | 0.328124 | − | 0.944635i | \(-0.393584\pi\) |
−0.993965 | + | 0.109696i | \(0.965012\pi\) | |||||||
\(68\) | 4.06644 | − | 1.95830i | 0.493129 | − | 0.237478i | ||||
\(69\) | −0.162840 | + | 0.713450i | −0.0196037 | + | 0.0858893i | ||||
\(70\) | −0.364080 | + | 1.59514i | −0.0435159 | + | 0.190656i | ||||
\(71\) | −4.02423 | − | 5.04622i | −0.477588 | − | 0.598877i | 0.483423 | − | 0.875387i | \(-0.339393\pi\) |
−0.961011 | + | 0.276510i | \(0.910822\pi\) | |||||||
\(72\) | 1.61143 | + | 0.776025i | 0.189909 | + | 0.0914555i | ||||
\(73\) | 3.55613 | + | 15.5804i | 0.416214 | + | 1.82355i | 0.553286 | + | 0.832991i | \(0.313374\pi\) |
−0.137072 | + | 0.990561i | \(0.543769\pi\) | |||||||
\(74\) | −2.11715 | − | 1.01956i | −0.246113 | − | 0.118522i | ||||
\(75\) | 0.686248 | − | 0.860528i | 0.0792411 | − | 0.0993652i | ||||
\(76\) | −1.03391 | + | 4.52986i | −0.118598 | + | 0.519611i | ||||
\(77\) | 1.44119 | − | 1.80720i | 0.164239 | − | 0.205950i | ||||
\(78\) | 0.441329 | + | 1.93359i | 0.0499706 | + | 0.218936i | ||||
\(79\) | 3.26865 | 0.367752 | 0.183876 | − | 0.982949i | \(-0.441136\pi\) | ||||
0.183876 | + | 0.982949i | \(0.441136\pi\) | |||||||
\(80\) | 1.00000 | 0.111803 | ||||||||
\(81\) | 0.0968850 | + | 0.424481i | 0.0107650 | + | 0.0471646i | ||||
\(82\) | −7.58226 | − | 9.50785i | −0.837320 | − | 1.04997i | ||||
\(83\) | 0.418795 | − | 0.201681i | 0.0459687 | − | 0.0221374i | −0.410758 | − | 0.911744i | \(-0.634736\pi\) |
0.456727 | + | 0.889607i | \(0.349022\pi\) | |||||||
\(84\) | −1.62251 | − | 0.781360i | −0.177030 | − | 0.0852534i | ||||
\(85\) | −4.51341 | −0.489548 | ||||||||
\(86\) | −6.41095 | + | 1.37830i | −0.691311 | + | 0.148626i | ||||
\(87\) | −11.2873 | −1.21013 | ||||||||
\(88\) | −1.27285 | − | 0.612972i | −0.135686 | − | 0.0653430i | ||||
\(89\) | −15.8294 | + | 7.62302i | −1.67791 | + | 0.808039i | −0.680767 | + | 0.732500i | \(0.738353\pi\) |
−0.997143 | + | 0.0755383i | \(0.975932\pi\) | |||||||
\(90\) | −1.11515 | − | 1.39835i | −0.117547 | − | 0.147399i | ||||
\(91\) | 0.656050 | + | 2.87434i | 0.0687727 | + | 0.301313i | ||||
\(92\) | 0.664874 | 0.0693179 | ||||||||
\(93\) | −7.20509 | −0.747133 | ||||||||
\(94\) | 1.08089 | + | 4.73568i | 0.111485 | + | 0.488448i | ||||
\(95\) | 2.89695 | − | 3.63267i | 0.297221 | − | 0.372704i | ||||
\(96\) | −0.244919 | + | 1.07306i | −0.0249969 | + | 0.109519i | ||||
\(97\) | −1.02721 | + | 1.28809i | −0.104298 | + | 0.130785i | −0.831241 | − | 0.555912i | \(-0.812369\pi\) |
0.726943 | + | 0.686698i | \(0.240940\pi\) | |||||||
\(98\) | 3.89487 | + | 1.87567i | 0.393441 | + | 0.189471i | ||||
\(99\) | 0.562264 | + | 2.46344i | 0.0565097 | + | 0.247585i | ||||
\(100\) | −0.900969 | − | 0.433884i | −0.0900969 | − | 0.0433884i | ||||
\(101\) | −6.25048 | − | 7.83785i | −0.621946 | − | 0.779895i | 0.366671 | − | 0.930351i | \(-0.380497\pi\) |
−0.988617 | + | 0.150455i | \(0.951926\pi\) | |||||||
\(102\) | 1.10542 | − | 4.84316i | 0.109453 | − | 0.479545i | ||||
\(103\) | −0.855845 | + | 3.74970i | −0.0843289 | + | 0.369469i | −0.999430 | − | 0.0337552i | \(-0.989253\pi\) |
0.915101 | + | 0.403224i | \(0.132110\pi\) | |||||||
\(104\) | 1.62349 | − | 0.781831i | 0.159196 | − | 0.0766649i | ||||
\(105\) | 1.12281 | + | 1.40796i | 0.109575 | + | 0.137403i | ||||
\(106\) | 1.57337 | − | 1.97294i | 0.152819 | − | 0.191629i | ||||
\(107\) | 9.20229 | − | 4.43159i | 0.889619 | − | 0.428418i | 0.0674902 | − | 0.997720i | \(-0.478501\pi\) |
0.822128 | + | 0.569302i | \(0.192787\pi\) | |||||||
\(108\) | 4.74860 | − | 2.28681i | 0.456935 | − | 0.220048i | ||||
\(109\) | −2.91713 | + | 3.65796i | −0.279410 | + | 0.350369i | −0.901657 | − | 0.432452i | \(-0.857649\pi\) |
0.622247 | + | 0.782821i | \(0.286220\pi\) | |||||||
\(110\) | 0.880839 | + | 1.10454i | 0.0839847 | + | 0.105313i | ||||
\(111\) | −2.33025 | + | 1.12219i | −0.221177 | + | 0.106513i | ||||
\(112\) | −0.364080 | + | 1.59514i | −0.0344023 | + | 0.150727i | ||||
\(113\) | −1.39590 | + | 6.11586i | −0.131316 | + | 0.575332i | 0.865864 | + | 0.500280i | \(0.166769\pi\) |
−0.997180 | + | 0.0750520i | \(0.976088\pi\) | |||||||
\(114\) | 3.18855 | + | 3.99832i | 0.298635 | + | 0.374477i | ||||
\(115\) | −0.599031 | − | 0.288478i | −0.0558599 | − | 0.0269007i | ||||
\(116\) | 2.28197 | + | 9.99798i | 0.211876 | + | 0.928289i | ||||
\(117\) | −2.90370 | − | 1.39835i | −0.268447 | − | 0.129277i | ||||
\(118\) | −4.34598 | + | 5.44969i | −0.400080 | + | 0.501685i | ||||
\(119\) | 1.64324 | − | 7.19952i | 0.150636 | − | 0.659979i | ||||
\(120\) | 0.686248 | − | 0.860528i | 0.0626456 | − | 0.0785551i | ||||
\(121\) | 2.00361 | + | 8.77837i | 0.182146 | + | 0.798034i | ||||
\(122\) | 4.07059 | 0.368534 | ||||||||
\(123\) | −13.3851 | −1.20689 | ||||||||
\(124\) | 1.45666 | + | 6.38206i | 0.130812 | + | 0.573125i | ||||
\(125\) | 0.623490 | + | 0.781831i | 0.0557666 | + | 0.0699291i | ||||
\(126\) | 2.63657 | − | 1.26970i | 0.234884 | − | 0.113114i | ||||
\(127\) | −10.5102 | − | 5.06145i | −0.932630 | − | 0.449131i | −0.0950664 | − | 0.995471i | \(-0.530306\pi\) |
−0.837563 | + | 0.546340i | \(0.816021\pi\) | |||||||
\(128\) | 1.00000 | 0.0883883 | ||||||||
\(129\) | −3.21344 | + | 6.46265i | −0.282927 | + | 0.569005i | ||||
\(130\) | −1.80194 | −0.158040 | ||||||||
\(131\) | −13.9127 | − | 6.70001i | −1.21556 | − | 0.585383i | −0.287488 | − | 0.957784i | \(-0.592820\pi\) |
−0.928072 | + | 0.372402i | \(0.878534\pi\) | |||||||
\(132\) | −1.40097 | + | 0.674671i | −0.121939 | + | 0.0587226i | ||||
\(133\) | 4.73989 | + | 5.94363i | 0.411000 | + | 0.515378i | ||||
\(134\) | 1.94513 | + | 8.52219i | 0.168034 | + | 0.736205i | ||||
\(135\) | −5.27055 | −0.453617 | ||||||||
\(136\) | −4.51341 | −0.387022 | ||||||||
\(137\) | 0.0157836 | + | 0.0691526i | 0.00134849 | + | 0.00590810i | 0.975598 | − | 0.219566i | \(-0.0704641\pi\) |
−0.974249 | + | 0.225474i | \(0.927607\pi\) | |||||||
\(138\) | 0.456269 | − | 0.572143i | 0.0388402 | − | 0.0487040i | ||||
\(139\) | 2.90306 | − | 12.7191i | 0.246234 | − | 1.07882i | −0.688991 | − | 0.724770i | \(-0.741946\pi\) |
0.935225 | − | 0.354053i | \(-0.115197\pi\) | |||||||
\(140\) | 1.02013 | − | 1.27920i | 0.0862167 | − | 0.108112i | ||||
\(141\) | 4.81694 | + | 2.31972i | 0.405659 | + | 0.195355i | ||||
\(142\) | 1.43623 | + | 6.29254i | 0.120526 | + | 0.528058i | ||||
\(143\) | 2.29359 | + | 1.10454i | 0.191800 | + | 0.0923660i | ||||
\(144\) | −1.11515 | − | 1.39835i | −0.0929289 | − | 0.116529i | ||||
\(145\) | 2.28197 | − | 9.99798i | 0.189508 | − | 0.830287i | ||||
\(146\) | 3.55613 | − | 15.5804i | 0.294308 | − | 1.28945i | ||||
\(147\) | 4.28691 | − | 2.06447i | 0.353578 | − | 0.170274i | ||||
\(148\) | 1.46511 | + | 1.83719i | 0.120431 | + | 0.151016i | ||||
\(149\) | 8.29082 | − | 10.3964i | 0.679210 | − | 0.851703i | −0.316071 | − | 0.948736i | \(-0.602364\pi\) |
0.995281 | + | 0.0970328i | \(0.0309352\pi\) | |||||||
\(150\) | −0.991657 | + | 0.477557i | −0.0809684 | + | 0.0389923i | ||||
\(151\) | −9.82701 | + | 4.73244i | −0.799711 | + | 0.385121i | −0.788669 | − | 0.614818i | \(-0.789229\pi\) |
−0.0110424 | + | 0.999939i | \(0.503515\pi\) | |||||||
\(152\) | 2.89695 | − | 3.63267i | 0.234974 | − | 0.294648i | ||||
\(153\) | 5.03312 | + | 6.31133i | 0.406903 | + | 0.510241i | ||||
\(154\) | −2.08259 | + | 1.00292i | −0.167820 | + | 0.0808177i | ||||
\(155\) | 1.45666 | − | 6.38206i | 0.117002 | − | 0.512619i | ||||
\(156\) | 0.441329 | − | 1.93359i | 0.0353346 | − | 0.154811i | ||||
\(157\) | 2.95289 | + | 3.70281i | 0.235666 | + | 0.295516i | 0.885575 | − | 0.464496i | \(-0.153764\pi\) |
−0.649909 | + | 0.760012i | \(0.725193\pi\) | |||||||
\(158\) | −2.94495 | − | 1.41821i | −0.234288 | − | 0.112827i | ||||
\(159\) | −0.618050 | − | 2.70786i | −0.0490146 | − | 0.214747i | ||||
\(160\) | −0.900969 | − | 0.433884i | −0.0712278 | − | 0.0343015i | ||||
\(161\) | 0.678258 | − | 0.850509i | 0.0534542 | − | 0.0670295i | ||||
\(162\) | 0.0968850 | − | 0.424481i | 0.00761201 | − | 0.0333504i | ||||
\(163\) | −4.80560 | + | 6.02603i | −0.376404 | + | 0.471995i | −0.933565 | − | 0.358409i | \(-0.883319\pi\) |
0.557161 | + | 0.830405i | \(0.311891\pi\) | |||||||
\(164\) | 2.70608 | + | 11.8561i | 0.211309 | + | 0.925805i | ||||
\(165\) | 1.55496 | 0.121053 | ||||||||
\(166\) | −0.464827 | −0.0360776 | ||||||||
\(167\) | −0.340239 | − | 1.49068i | −0.0263285 | − | 0.115353i | 0.960056 | − | 0.279807i | \(-0.0902706\pi\) |
−0.986385 | + | 0.164455i | \(0.947413\pi\) | |||||||
\(168\) | 1.12281 | + | 1.40796i | 0.0866269 | + | 0.108627i | ||||
\(169\) | 8.78717 | − | 4.23168i | 0.675936 | − | 0.325514i | ||||
\(170\) | 4.06644 | + | 1.95830i | 0.311882 | + | 0.150194i | ||||
\(171\) | −8.31027 | −0.635502 | ||||||||
\(172\) | 6.37409 | + | 1.53980i | 0.486020 | + | 0.117409i | ||||
\(173\) | −15.7966 | −1.20099 | −0.600496 | − | 0.799628i | \(-0.705030\pi\) | ||||
−0.600496 | + | 0.799628i | \(0.705030\pi\) | |||||||
\(174\) | 10.1695 | + | 4.89739i | 0.770951 | + | 0.371270i | ||||
\(175\) | −1.47413 | + | 0.709904i | −0.111434 | + | 0.0536637i | ||||
\(176\) | 0.880839 | + | 1.10454i | 0.0663957 | + | 0.0832576i | ||||
\(177\) | 1.70719 | + | 7.47968i | 0.128320 | + | 0.562207i | ||||
\(178\) | 17.5693 | 1.31687 | ||||||||
\(179\) | 21.2149 | 1.58567 | 0.792837 | − | 0.609433i | \(-0.208603\pi\) | ||||
0.792837 | + | 0.609433i | \(0.208603\pi\) | |||||||
\(180\) | 0.397991 | + | 1.74371i | 0.0296645 | + | 0.129969i | ||||
\(181\) | 15.3725 | − | 19.2765i | 1.14263 | − | 1.43281i | 0.258232 | − | 0.966083i | \(-0.416860\pi\) |
0.884399 | − | 0.466731i | \(-0.154568\pi\) | |||||||
\(182\) | 0.656050 | − | 2.87434i | 0.0486297 | − | 0.213060i | ||||
\(183\) | 2.79343 | − | 3.50285i | 0.206496 | − | 0.258938i | ||||
\(184\) | −0.599031 | − | 0.288478i | −0.0441612 | − | 0.0212669i | ||||
\(185\) | −0.522892 | − | 2.29094i | −0.0384438 | − | 0.168433i | ||||
\(186\) | 6.49157 | + | 3.12617i | 0.475985 | + | 0.229222i | ||||
\(187\) | −3.97559 | − | 4.98523i | −0.290724 | − | 0.364556i | ||||
\(188\) | 1.08089 | − | 4.73568i | 0.0788318 | − | 0.345385i | ||||
\(189\) | 1.91890 | − | 8.40727i | 0.139580 | − | 0.611539i | ||||
\(190\) | −4.18622 | + | 2.01598i | −0.303700 | + | 0.146254i | ||||
\(191\) | 0.628524 | + | 0.788144i | 0.0454784 | + | 0.0570281i | 0.804051 | − | 0.594561i | \(-0.202674\pi\) |
−0.758572 | + | 0.651589i | \(0.774103\pi\) | |||||||
\(192\) | 0.686248 | − | 0.860528i | 0.0495257 | − | 0.0621032i | ||||
\(193\) | 2.88466 | − | 1.38918i | 0.207642 | − | 0.0999953i | −0.327172 | − | 0.944965i | \(-0.606096\pi\) |
0.534815 | + | 0.844969i | \(0.320381\pi\) | |||||||
\(194\) | 1.48437 | − | 0.714834i | 0.106571 | − | 0.0513221i | ||||
\(195\) | −1.23658 | + | 1.55062i | −0.0885530 | + | 0.111042i | ||||
\(196\) | −2.69533 | − | 3.37984i | −0.192524 | − | 0.241417i | ||||
\(197\) | 2.40271 | − | 1.15708i | 0.171186 | − | 0.0824387i | −0.346329 | − | 0.938113i | \(-0.612572\pi\) |
0.517514 | + | 0.855675i | \(0.326857\pi\) | |||||||
\(198\) | 0.562264 | − | 2.46344i | 0.0399584 | − | 0.175069i | ||||
\(199\) | −3.14309 | + | 13.7708i | −0.222808 | + | 0.976184i | 0.732546 | + | 0.680718i | \(0.238332\pi\) |
−0.955353 | + | 0.295466i | \(0.904525\pi\) | |||||||
\(200\) | 0.623490 | + | 0.781831i | 0.0440874 | + | 0.0552838i | ||||
\(201\) | 8.66842 | + | 4.17449i | 0.611423 | + | 0.294446i | ||||
\(202\) | 2.23077 | + | 9.77364i | 0.156956 | + | 0.687671i | ||||
\(203\) | 15.1174 | + | 7.28013i | 1.06103 | + | 0.510965i | ||||
\(204\) | −3.09732 | + | 3.88392i | −0.216856 | + | 0.271928i | ||||
\(205\) | 2.70608 | − | 11.8561i | 0.189001 | − | 0.828066i | ||||
\(206\) | 2.39802 | − | 3.00703i | 0.167078 | − | 0.209509i | ||||
\(207\) | 0.264614 | + | 1.15935i | 0.0183920 | + | 0.0805804i | ||||
\(208\) | −1.80194 | −0.124942 | ||||||||
\(209\) | 6.56416 | 0.454053 | ||||||||
\(210\) | −0.400727 | − | 1.75570i | −0.0276528 | − | 0.121155i | ||||
\(211\) | −3.32281 | − | 4.16668i | −0.228752 | − | 0.286846i | 0.654188 | − | 0.756332i | \(-0.273011\pi\) |
−0.882940 | + | 0.469486i | \(0.844439\pi\) | |||||||
\(212\) | −2.27358 | + | 1.09490i | −0.156150 | + | 0.0751981i | ||||
\(213\) | 6.40051 | + | 3.08232i | 0.438556 | + | 0.211197i | ||||
\(214\) | −10.2138 | −0.698199 | ||||||||
\(215\) | −5.07476 | − | 4.15293i | −0.346096 | − | 0.283227i | ||||
\(216\) | −5.27055 | −0.358616 | ||||||||
\(217\) | 9.64993 | + | 4.64716i | 0.655080 | + | 0.315470i | ||||
\(218\) | 4.21537 | − | 2.03002i | 0.285501 | − | 0.137490i | ||||
\(219\) | −10.9670 | − | 13.7522i | −0.741082 | − | 0.929287i | ||||
\(220\) | −0.314368 | − | 1.37734i | −0.0211947 | − | 0.0928599i | ||||
\(221\) | 8.13289 | 0.547077 | ||||||||
\(222\) | 2.58638 | 0.173587 | ||||||||
\(223\) | −3.88605 | − | 17.0259i | −0.260229 | − | 1.14014i | −0.921004 | − | 0.389554i | \(-0.872629\pi\) |
0.660774 | − | 0.750585i | \(-0.270228\pi\) | |||||||
\(224\) | 1.02013 | − | 1.27920i | 0.0681603 | − | 0.0854703i | ||||
\(225\) | 0.397991 | − | 1.74371i | 0.0265327 | − | 0.116248i | ||||
\(226\) | 3.91124 | − | 4.90454i | 0.260172 | − | 0.326245i | ||||
\(227\) | 6.94417 | + | 3.34413i | 0.460900 | + | 0.221958i | 0.649901 | − | 0.760019i | \(-0.274810\pi\) |
−0.189000 | + | 0.981977i | \(0.560525\pi\) | |||||||
\(228\) | −1.13798 | − | 4.98582i | −0.0753646 | − | 0.330194i | ||||
\(229\) | −13.2844 | − | 6.39741i | −0.877855 | − | 0.422753i | −0.0600143 | − | 0.998198i | \(-0.519115\pi\) |
−0.817841 | + | 0.575445i | \(0.804829\pi\) | |||||||
\(230\) | 0.414542 | + | 0.519820i | 0.0273341 | + | 0.0342759i | ||||
\(231\) | −0.566129 | + | 2.48038i | −0.0372486 | + | 0.163197i | ||||
\(232\) | 2.28197 | − | 9.99798i | 0.149819 | − | 0.656400i | ||||
\(233\) | −1.41083 | + | 0.679420i | −0.0924265 | + | 0.0445103i | −0.479526 | − | 0.877528i | \(-0.659191\pi\) |
0.387099 | + | 0.922038i | \(0.373477\pi\) | |||||||
\(234\) | 2.00942 | + | 2.51974i | 0.131360 | + | 0.164720i | ||||
\(235\) | −3.02858 | + | 3.79772i | −0.197563 | + | 0.247736i | ||||
\(236\) | 6.28013 | − | 3.02435i | 0.408801 | − | 0.196868i | ||||
\(237\) | −3.24138 | + | 1.56097i | −0.210550 | + | 0.101396i | ||||
\(238\) | −4.60427 | + | 5.77357i | −0.298450 | + | 0.374245i | ||||
\(239\) | 8.78665 | + | 11.0181i | 0.568361 | + | 0.712702i | 0.980079 | − | 0.198609i | \(-0.0636425\pi\) |
−0.411718 | + | 0.911311i | \(0.635071\pi\) | |||||||
\(240\) | −0.991657 | + | 0.477557i | −0.0640112 | + | 0.0308262i | ||||
\(241\) | −1.91437 | + | 8.38739i | −0.123315 | + | 0.540279i | 0.875097 | + | 0.483948i | \(0.160797\pi\) |
−0.998412 | + | 0.0563314i | \(0.982060\pi\) | |||||||
\(242\) | 2.00361 | − | 8.77837i | 0.128797 | − | 0.564295i | ||||
\(243\) | 9.55962 | + | 11.9874i | 0.613250 | + | 0.768991i | ||||
\(244\) | −3.66747 | − | 1.76616i | −0.234786 | − | 0.113067i | ||||
\(245\) | 0.961952 | + | 4.21459i | 0.0614569 | + | 0.269260i | ||||
\(246\) | 12.0595 | + | 5.80757i | 0.768888 | + | 0.370277i | ||||
\(247\) | −5.22013 | + | 6.54584i | −0.332149 | + | 0.416502i | ||||
\(248\) | 1.45666 | − | 6.38206i | 0.0924982 | − | 0.405261i | ||||
\(249\) | −0.318987 | + | 0.399997i | −0.0202150 | + | 0.0253487i | ||||
\(250\) | −0.222521 | − | 0.974928i | −0.0140735 | − | 0.0616599i | ||||
\(251\) | −17.7136 | −1.11807 | −0.559035 | − | 0.829144i | \(-0.688828\pi\) | ||||
−0.559035 | + | 0.829144i | \(0.688828\pi\) | |||||||
\(252\) | −2.92637 | −0.184344 | ||||||||
\(253\) | −0.209015 | − | 0.915755i | −0.0131407 | − | 0.0575730i | ||||
\(254\) | 7.27329 | + | 9.12041i | 0.456367 | + | 0.572266i | ||||
\(255\) | 4.47576 | − | 2.15541i | 0.280283 | − | 0.134977i | ||||
\(256\) | −0.900969 | − | 0.433884i | −0.0563106 | − | 0.0271177i | ||||
\(257\) | −20.9760 | −1.30845 | −0.654223 | − | 0.756302i | \(-0.727004\pi\) | ||||
−0.654223 | + | 0.756302i | \(0.727004\pi\) | |||||||
\(258\) | 5.69925 | − | 4.42839i | 0.354820 | − | 0.275700i | ||||
\(259\) | 3.84474 | 0.238901 | ||||||||
\(260\) | 1.62349 | + | 0.781831i | 0.100685 | + | 0.0484871i | ||||
\(261\) | −16.5254 | + | 7.95822i | −1.02290 | + | 0.492601i | ||||
\(262\) | 9.62790 | + | 12.0730i | 0.594813 | + | 0.745872i | ||||
\(263\) | 1.42981 | + | 6.26441i | 0.0881659 | + | 0.386280i | 0.999688 | − | 0.0249707i | \(-0.00794924\pi\) |
−0.911522 | + | 0.411251i | \(0.865092\pi\) | |||||||
\(264\) | 1.55496 | 0.0957011 | ||||||||
\(265\) | 2.52349 | 0.155017 | ||||||||
\(266\) | −1.69165 | − | 7.41158i | −0.103721 | − | 0.454433i | ||||
\(267\) | 12.0569 | − | 15.1188i | 0.737869 | − | 0.925258i | ||||
\(268\) | 1.94513 | − | 8.52219i | 0.118818 | − | 0.520576i | ||||
\(269\) | 3.84078 | − | 4.81618i | 0.234176 | − | 0.293648i | −0.650833 | − | 0.759221i | \(-0.725580\pi\) |
0.885010 | + | 0.465573i | \(0.154152\pi\) | |||||||
\(270\) | 4.74860 | + | 2.28681i | 0.288991 | + | 0.139171i | ||||
\(271\) | 2.32071 | + | 10.1677i | 0.140973 | + | 0.617644i | 0.995210 | + | 0.0977597i | \(0.0311677\pi\) |
−0.854237 | + | 0.519884i | \(0.825975\pi\) | |||||||
\(272\) | 4.06644 | + | 1.95830i | 0.246564 | + | 0.118739i | ||||
\(273\) | −2.02324 | − | 2.53706i | −0.122452 | − | 0.153550i | ||||
\(274\) | 0.0157836 | − | 0.0691526i | 0.000953524 | − | 0.00417766i | ||||
\(275\) | −0.314368 | + | 1.37734i | −0.0189571 | + | 0.0830564i | ||||
\(276\) | −0.659327 | + | 0.317515i | −0.0396868 | + | 0.0191122i | ||||
\(277\) | 15.3281 | + | 19.2208i | 0.920975 | + | 1.15487i | 0.987585 | + | 0.157087i | \(0.0502103\pi\) |
−0.0666099 | + | 0.997779i | \(0.521218\pi\) | |||||||
\(278\) | −8.13420 | + | 10.2000i | −0.487857 | + | 0.611753i | ||||
\(279\) | −10.5487 | + | 5.08000i | −0.631536 | + | 0.304132i | ||||
\(280\) | −1.47413 | + | 0.709904i | −0.0880962 | + | 0.0424249i | ||||
\(281\) | −7.24875 | + | 9.08964i | −0.432424 | + | 0.542243i | −0.949529 | − | 0.313679i | \(-0.898438\pi\) |
0.517105 | + | 0.855922i | \(0.327010\pi\) | |||||||
\(282\) | −3.33342 | − | 4.17998i | −0.198503 | − | 0.248914i | ||||
\(283\) | 4.89391 | − | 2.35678i | 0.290913 | − | 0.140096i | −0.282736 | − | 0.959198i | \(-0.591242\pi\) |
0.573648 | + | 0.819102i | \(0.305528\pi\) | |||||||
\(284\) | 1.43623 | − | 6.29254i | 0.0852246 | − | 0.373393i | ||||
\(285\) | −1.13798 | + | 4.98582i | −0.0674081 | + | 0.295334i | ||||
\(286\) | −1.58722 | − | 1.99031i | −0.0938541 | − | 0.117689i | ||||
\(287\) | 17.9269 | + | 8.63314i | 1.05819 | + | 0.509598i | ||||
\(288\) | 0.397991 | + | 1.74371i | 0.0234519 | + | 0.102749i | ||||
\(289\) | −3.03706 | − | 1.46257i | −0.178651 | − | 0.0860337i | ||||
\(290\) | −6.39395 | + | 8.01776i | −0.375466 | + | 0.470819i | ||||
\(291\) | 0.403510 | − | 1.76789i | 0.0236542 | − | 0.103636i | ||||
\(292\) | −9.96407 | + | 12.4945i | −0.583103 | + | 0.731188i | ||||
\(293\) | −3.57903 | − | 15.6808i | −0.209089 | − | 0.916079i | −0.965175 | − | 0.261606i | \(-0.915748\pi\) |
0.756085 | − | 0.654473i | \(-0.227109\pi\) | |||||||
\(294\) | −4.75811 | −0.277499 | ||||||||
\(295\) | −6.97042 | −0.405833 | ||||||||
\(296\) | −0.522892 | − | 2.29094i | −0.0303925 | − | 0.133158i | ||||
\(297\) | −4.64251 | − | 5.82152i | −0.269386 | − | 0.337799i | ||||
\(298\) | −11.9806 | + | 5.76954i | −0.694016 | + | 0.334221i | ||||
\(299\) | 1.07942 | + | 0.519820i | 0.0624243 | + | 0.0300620i | ||||
\(300\) | 1.10066 | 0.0635464 | ||||||||
\(301\) | 8.47212 | − | 6.58295i | 0.488325 | − | 0.379435i | ||||
\(302\) | 10.9072 | 0.627637 | ||||||||
\(303\) | 9.94135 | + | 4.78750i | 0.571116 | + | 0.275035i | ||||
\(304\) | −4.18622 | + | 2.01598i | −0.240096 | + | 0.115624i | ||||
\(305\) | 2.53797 | + | 3.18251i | 0.145324 | + | 0.182230i | ||||
\(306\) | −1.79630 | − | 7.87010i | −0.102688 | − | 0.449903i | ||||
\(307\) | 20.8753 | 1.19142 | 0.595708 | − | 0.803201i | \(-0.296872\pi\) | ||||
0.595708 | + | 0.803201i | \(0.296872\pi\) | |||||||
\(308\) | 2.31150 | 0.131710 | ||||||||
\(309\) | −0.941991 | − | 4.12713i | −0.0535880 | − | 0.234784i | ||||
\(310\) | −4.08148 | + | 5.11801i | −0.231812 | + | 0.290683i | ||||
\(311\) | 4.42354 | − | 19.3808i | 0.250836 | − | 1.09898i | −0.679904 | − | 0.733301i | \(-0.737979\pi\) |
0.930740 | − | 0.365682i | \(-0.119164\pi\) | |||||||
\(312\) | −1.23658 | + | 1.55062i | −0.0700073 | + | 0.0877864i | ||||
\(313\) | −21.9723 | − | 10.5813i | −1.24195 | − | 0.598090i | −0.306606 | − | 0.951837i | \(-0.599193\pi\) |
−0.935341 | + | 0.353746i | \(0.884908\pi\) | |||||||
\(314\) | −1.05387 | − | 4.61732i | −0.0594735 | − | 0.260571i | ||||
\(315\) | 2.63657 | + | 1.26970i | 0.148554 | + | 0.0715397i | ||||
\(316\) | 2.03797 | + | 2.55553i | 0.114645 | + | 0.143760i | ||||
\(317\) | 0.0116462 | − | 0.0510253i | 0.000654115 | − | 0.00286587i | −0.974600 | − | 0.223954i | \(-0.928104\pi\) |
0.975254 | + | 0.221088i | \(0.0709607\pi\) | |||||||
\(318\) | −0.618050 | + | 2.70786i | −0.0346585 | + | 0.151849i | ||||
\(319\) | 13.0532 | − | 6.28609i | 0.730838 | − | 0.351953i | ||||
\(320\) | 0.623490 | + | 0.781831i | 0.0348541 | + | 0.0437057i | ||||
\(321\) | −7.00918 | + | 8.78923i | −0.391214 | + | 0.490567i | ||||
\(322\) | −0.980112 | + | 0.471997i | −0.0546195 | + | 0.0263034i | ||||
\(323\) | 18.8941 | − | 9.09894i | 1.05130 | − | 0.506278i | ||||
\(324\) | −0.271466 | + | 0.340407i | −0.0150814 | + | 0.0189115i | ||||
\(325\) | −1.12349 | − | 1.40881i | −0.0623200 | − | 0.0781468i | ||||
\(326\) | 6.94429 | − | 3.34419i | 0.384609 | − | 0.185218i | ||||
\(327\) | 1.14590 | − | 5.02054i | 0.0633687 | − | 0.277636i | ||||
\(328\) | 2.70608 | − | 11.8561i | 0.149418 | − | 0.654643i | ||||
\(329\) | −4.95525 | − | 6.21368i | −0.273192 | − | 0.342571i | ||||
\(330\) | −1.40097 | − | 0.674671i | −0.0771208 | − | 0.0371394i | ||||
\(331\) | 2.27850 | + | 9.98277i | 0.125238 | + | 0.548702i | 0.998149 | + | 0.0608227i | \(0.0193724\pi\) |
−0.872911 | + | 0.487880i | \(0.837770\pi\) | |||||||
\(332\) | 0.418795 | + | 0.201681i | 0.0229843 | + | 0.0110687i | ||||
\(333\) | −2.62043 | + | 3.28592i | −0.143599 | + | 0.180067i | ||||
\(334\) | −0.340239 | + | 1.49068i | −0.0186170 | + | 0.0815666i | ||||
\(335\) | −5.45014 | + | 6.83427i | −0.297773 | + | 0.373396i | ||||
\(336\) | −0.400727 | − | 1.75570i | −0.0218615 | − | 0.0957813i | ||||
\(337\) | 4.94966 | 0.269625 | 0.134813 | − | 0.990871i | \(-0.456957\pi\) | ||||
0.134813 | + | 0.990871i | \(0.456957\pi\) | |||||||
\(338\) | −9.75302 | −0.530494 | ||||||||
\(339\) | −1.53641 | − | 6.73146i | −0.0834464 | − | 0.365603i | ||||
\(340\) | −2.81407 | − | 3.52873i | −0.152614 | − | 0.191372i | ||||
\(341\) | 8.33230 | − | 4.01262i | 0.451219 | − | 0.217296i | ||||
\(342\) | 7.48729 | + | 3.60569i | 0.404866 | + | 0.194973i | ||||
\(343\) | −18.5262 | −1.00032 | ||||||||
\(344\) | −5.07476 | − | 4.15293i | −0.273613 | − | 0.223911i | ||||
\(345\) | 0.731798 | 0.0393987 | ||||||||
\(346\) | 14.2322 | + | 6.85388i | 0.765130 | + | 0.368467i | ||||
\(347\) | −31.9206 | + | 15.3722i | −1.71359 | + | 0.825222i | −0.722603 | + | 0.691263i | \(0.757055\pi\) |
−0.990987 | + | 0.133959i | \(0.957231\pi\) | |||||||
\(348\) | −7.03754 | − | 8.82479i | −0.377252 | − | 0.473059i | ||||
\(349\) | 0.742510 | + | 3.25315i | 0.0397457 | + | 0.174137i | 0.990905 | − | 0.134563i | \(-0.0429631\pi\) |
−0.951159 | + | 0.308700i | \(0.900106\pi\) | |||||||
\(350\) | 1.63616 | 0.0874565 | ||||||||
\(351\) | 9.49721 | 0.506924 | ||||||||
\(352\) | −0.314368 | − | 1.37734i | −0.0167559 | − | 0.0734122i | ||||
\(353\) | −7.33945 | + | 9.20338i | −0.390640 | + | 0.489847i | −0.937797 | − | 0.347183i | \(-0.887138\pi\) |
0.547158 | + | 0.837030i | \(0.315710\pi\) | |||||||
\(354\) | 1.70719 | − | 7.47968i | 0.0907360 | − | 0.397540i | ||||
\(355\) | −4.02423 | + | 5.04622i | −0.213584 | + | 0.267826i | ||||
\(356\) | −15.8294 | − | 7.62302i | −0.838955 | − | 0.404019i | ||||
\(357\) | 1.80865 | + | 7.92420i | 0.0957237 | + | 0.419393i | ||||
\(358\) | −19.1139 | − | 9.20479i | −1.01020 | − | 0.486488i | ||||
\(359\) | −5.59390 | − | 7.01453i | −0.295235 | − | 0.370213i | 0.611985 | − | 0.790869i | \(-0.290371\pi\) |
−0.907220 | + | 0.420656i | \(0.861800\pi\) | |||||||
\(360\) | 0.397991 | − | 1.74371i | 0.0209760 | − | 0.0919018i | ||||
\(361\) | −0.576019 | + | 2.52370i | −0.0303168 | + | 0.132826i | ||||
\(362\) | −22.2139 | + | 10.6977i | −1.16754 | + | 0.562257i | ||||
\(363\) | −6.17906 | − | 7.74829i | −0.324316 | − | 0.406680i | ||||
\(364\) | −1.83821 | + | 2.30504i | −0.0963484 | + | 0.120817i | ||||
\(365\) | 14.3985 | − | 6.93395i | 0.753652 | − | 0.362939i | ||||
\(366\) | −4.03663 | + | 1.94394i | −0.210998 | + | 0.101611i | ||||
\(367\) | −3.63782 | + | 4.56169i | −0.189893 | + | 0.238118i | −0.867659 | − | 0.497159i | \(-0.834377\pi\) |
0.677767 | + | 0.735277i | \(0.262948\pi\) | |||||||
\(368\) | 0.414542 | + | 0.519820i | 0.0216095 | + | 0.0270975i | ||||
\(369\) | −19.5966 | + | 9.43724i | −1.02016 | + | 0.491283i | ||||
\(370\) | −0.522892 | + | 2.29094i | −0.0271838 | + | 0.119100i | ||||
\(371\) | −0.918752 | + | 4.02532i | −0.0476992 | + | 0.208984i | ||||
\(372\) | −4.49230 | − | 5.63317i | −0.232915 | − | 0.292066i | ||||
\(373\) | 0.741930 | + | 0.357295i | 0.0384157 | + | 0.0185000i | 0.452993 | − | 0.891514i | \(-0.350356\pi\) |
−0.414577 | + | 0.910014i | \(0.636071\pi\) | |||||||
\(374\) | 1.41887 | + | 6.21648i | 0.0733681 | + | 0.321447i | ||||
\(375\) | −0.991657 | − | 0.477557i | −0.0512089 | − | 0.0246609i | ||||
\(376\) | −3.02858 | + | 3.79772i | −0.156187 | + | 0.195852i | ||||
\(377\) | −4.11198 | + | 18.0157i | −0.211777 | + | 0.927858i | ||||
\(378\) | −5.37665 | + | 6.74211i | −0.276545 | + | 0.346777i | ||||
\(379\) | −1.12332 | − | 4.92160i | −0.0577013 | − | 0.252806i | 0.937848 | − | 0.347046i | \(-0.112815\pi\) |
−0.995550 | + | 0.0942399i | \(0.969958\pi\) | |||||||
\(380\) | 4.64635 | 0.238353 | ||||||||
\(381\) | 12.8396 | 0.657795 | ||||||||
\(382\) | −0.224318 | − | 0.982800i | −0.0114771 | − | 0.0502844i | ||||
\(383\) | −16.6460 | − | 20.8735i | −0.850573 | − | 1.06658i | −0.997003 | − | 0.0773638i | \(-0.975350\pi\) |
0.146430 | − | 0.989221i | \(-0.453222\pi\) | |||||||
\(384\) | −0.991657 | + | 0.477557i | −0.0506053 | + | 0.0243702i | ||||
\(385\) | −2.08259 | − | 1.00292i | −0.106138 | − | 0.0511136i | ||||
\(386\) | −3.20173 | −0.162964 | ||||||||
\(387\) | −0.148146 | + | 11.7274i | −0.00753070 | + | 0.596138i | ||||
\(388\) | −1.64752 | −0.0836404 | ||||||||
\(389\) | 17.3500 | + | 8.35531i | 0.879679 | + | 0.423631i | 0.818507 | − | 0.574496i | \(-0.194802\pi\) |
0.0611715 | + | 0.998127i | \(0.480516\pi\) | |||||||
\(390\) | 1.78690 | − | 0.860528i | 0.0904834 | − | 0.0435745i | ||||
\(391\) | −1.87100 | − | 2.34616i | −0.0946206 | − | 0.118650i | ||||
\(392\) | 0.961952 | + | 4.21459i | 0.0485859 | + | 0.212869i | ||||
\(393\) | 16.9963 | 0.857348 | ||||||||
\(394\) | −2.66680 | −0.134352 | ||||||||
\(395\) | −0.727343 | − | 3.18670i | −0.0365966 | − | 0.160340i | ||||
\(396\) | −1.57543 | + | 1.97553i | −0.0791683 | + | 0.0992739i | ||||
\(397\) | −1.62873 | + | 7.13592i | −0.0817435 | + | 0.358142i | −0.999213 | − | 0.0396644i | \(-0.987371\pi\) |
0.917470 | + | 0.397806i | \(0.130228\pi\) | |||||||
\(398\) | 8.80674 | − | 11.0433i | 0.441442 | − | 0.553551i | ||||
\(399\) | −7.53876 | − | 3.63048i | −0.377410 | − | 0.181751i | ||||
\(400\) | −0.222521 | − | 0.974928i | −0.0111260 | − | 0.0487464i | ||||
\(401\) | −23.3612 | − | 11.2501i | −1.16660 | − | 0.561806i | −0.252621 | − | 0.967565i | \(-0.581293\pi\) |
−0.913980 | + | 0.405760i | \(0.867007\pi\) | |||||||
\(402\) | −5.99873 | − | 7.52218i | −0.299190 | − | 0.375172i | ||||
\(403\) | −2.62481 | + | 11.5001i | −0.130751 | + | 0.572859i | ||||
\(404\) | 2.23077 | − | 9.77364i | 0.110985 | − | 0.486257i | ||||
\(405\) | 0.392280 | − | 0.188912i | 0.0194925 | − | 0.00938711i | ||||
\(406\) | −10.4615 | − | 13.1183i | −0.519197 | − | 0.651053i | ||||
\(407\) | 2.06984 | − | 2.59550i | 0.102598 | − | 0.128654i | ||||
\(408\) | 4.47576 | − | 2.15541i | 0.221583 | − | 0.106709i | ||||
\(409\) | −6.52682 | + | 3.14315i | −0.322730 | + | 0.155419i | −0.588233 | − | 0.808691i | \(-0.700176\pi\) |
0.265503 | + | 0.964110i | \(0.414462\pi\) | |||||||
\(410\) | −7.58226 | + | 9.50785i | −0.374461 | + | 0.469559i | ||||
\(411\) | −0.0486762 | − | 0.0610380i | −0.00240102 | − | 0.00301078i | ||||
\(412\) | −3.46524 | + | 1.66877i | −0.170720 | + | 0.0822146i | ||||
\(413\) | 2.53779 | − | 11.1188i | 0.124877 | − | 0.547120i | ||||
\(414\) | 0.264614 | − | 1.15935i | 0.0130051 | − | 0.0569790i | ||||
\(415\) | −0.289815 | − | 0.363416i | −0.0142265 | − | 0.0178394i | ||||
\(416\) | 1.62349 | + | 0.781831i | 0.0795981 | + | 0.0383324i | ||||
\(417\) | 3.19527 | + | 13.9994i | 0.156473 | + | 0.685553i | ||||
\(418\) | −5.91411 | − | 2.84808i | −0.289268 | − | 0.139304i | ||||
\(419\) | −14.0528 | + | 17.6216i | −0.686523 | + | 0.860873i | −0.995937 | − | 0.0900545i | \(-0.971296\pi\) |
0.309413 | + | 0.950928i | \(0.399867\pi\) | |||||||
\(420\) | −0.400727 | + | 1.75570i | −0.0195535 | + | 0.0856694i | ||||
\(421\) | 18.1746 | − | 22.7902i | 0.885776 | − | 1.11073i | −0.107414 | − | 0.994214i | \(-0.534257\pi\) |
0.993189 | − | 0.116513i | \(-0.0371717\pi\) | |||||||
\(422\) | 1.18590 | + | 5.19576i | 0.0577286 | + | 0.252926i | ||||
\(423\) | 8.68785 | 0.422418 | ||||||||
\(424\) | 2.52349 | 0.122551 | ||||||||
\(425\) | 1.00433 | + | 4.40025i | 0.0487171 | + | 0.213444i | ||||
\(426\) | −4.42929 | − | 5.55416i | −0.214600 | − | 0.269100i | ||||
\(427\) | −6.00058 | + | 2.88973i | −0.290388 | + | 0.139844i | ||||
\(428\) | 9.20229 | + | 4.43159i | 0.444809 | + | 0.214209i | ||||
\(429\) | −2.80194 | −0.135279 | ||||||||
\(430\) | 2.77031 | + | 5.94352i | 0.133596 | + | 0.286622i | ||||
\(431\) | −39.8193 | −1.91803 | −0.959014 | − | 0.283357i | \(-0.908552\pi\) | ||||
−0.959014 | + | 0.283357i | \(0.908552\pi\) | |||||||
\(432\) | 4.74860 | + | 2.28681i | 0.228467 | + | 0.110024i | ||||
\(433\) | −30.3794 | + | 14.6300i | −1.45994 | + | 0.703071i | −0.984290 | − | 0.176562i | \(-0.943503\pi\) |
−0.475653 | + | 0.879633i | \(0.657788\pi\) | |||||||
\(434\) | −6.67796 | − | 8.37389i | −0.320552 | − | 0.401960i | ||||
\(435\) | 2.51167 | + | 11.0043i | 0.120425 | + | 0.527618i | ||||
\(436\) | −4.67871 | −0.224070 | ||||||||
\(437\) | 3.08924 | 0.147778 | ||||||||
\(438\) | 3.91408 | + | 17.1487i | 0.187022 | + | 0.819397i | ||||
\(439\) | 16.3901 | − | 20.5525i | 0.782255 | − | 0.980916i | −0.217733 | − | 0.976008i | \(-0.569866\pi\) |
0.999988 | − | 0.00490792i | \(-0.00156225\pi\) | |||||||
\(440\) | −0.314368 | + | 1.37734i | −0.0149869 | + | 0.0656619i | ||||
\(441\) | 4.82075 | − | 6.04503i | 0.229560 | − | 0.287859i | ||||
\(442\) | −7.32748 | − | 3.52873i | −0.348533 | − | 0.167844i | ||||
\(443\) | 7.36658 | + | 32.2751i | 0.349997 | + | 1.53344i | 0.777185 | + | 0.629272i | \(0.216647\pi\) |
−0.427188 | + | 0.904163i | \(0.640496\pi\) | |||||||
\(444\) | −2.33025 | − | 1.12219i | −0.110589 | − | 0.0532567i | ||||
\(445\) | 10.9543 | + | 13.7362i | 0.519282 | + | 0.651159i | ||||
\(446\) | −3.88605 | + | 17.0259i | −0.184010 | + | 0.806200i | ||||
\(447\) | −3.25680 | + | 14.2690i | −0.154041 | + | 0.674898i | ||||
\(448\) | −1.47413 | + | 0.709904i | −0.0696461 | + | 0.0335398i | ||||
\(449\) | −12.0173 | − | 15.0693i | −0.567134 | − | 0.711163i | 0.412725 | − | 0.910856i | \(-0.364577\pi\) |
−0.979859 | + | 0.199693i | \(0.936006\pi\) | |||||||
\(450\) | −1.11515 | + | 1.39835i | −0.0525685 | + | 0.0659188i | ||||
\(451\) | 15.4791 | − | 7.45435i | 0.728883 | − | 0.351012i | ||||
\(452\) | −5.65190 | + | 2.72181i | −0.265843 | + | 0.128023i | ||||
\(453\) | 7.48502 | − | 9.38591i | 0.351677 | − | 0.440989i | ||||
\(454\) | −4.80551 | − | 6.02592i | −0.225534 | − | 0.282810i | ||||
\(455\) | 2.65629 | − | 1.27920i | 0.124529 | − | 0.0599699i | ||||
\(456\) | −1.13798 | + | 4.98582i | −0.0532908 | + | 0.233482i | ||||
\(457\) | 0.633478 | − | 2.77545i | 0.0296329 | − | 0.129830i | −0.957948 | − | 0.286942i | \(-0.907361\pi\) |
0.987581 | + | 0.157112i | \(0.0502184\pi\) | |||||||
\(458\) | 9.19306 | + | 11.5277i | 0.429563 | + | 0.538655i | ||||
\(459\) | −21.4324 | − | 10.3213i | −1.00038 | − | 0.481757i | ||||
\(460\) | −0.147948 | − | 0.648205i | −0.00689813 | − | 0.0302227i | ||||
\(461\) | −8.41148 | − | 4.05075i | −0.391762 | − | 0.188662i | 0.227624 | − | 0.973749i | \(-0.426904\pi\) |
−0.619386 | + | 0.785087i | \(0.712618\pi\) | |||||||
\(462\) | 1.58626 | − | 1.98911i | 0.0737995 | − | 0.0925416i | ||||
\(463\) | 9.31689 | − | 40.8199i | 0.432992 | − | 1.89706i | −0.00882996 | − | 0.999961i | \(-0.502811\pi\) |
0.441822 | − | 0.897103i | \(-0.354332\pi\) | |||||||
\(464\) | −6.39395 | + | 8.01776i | −0.296832 | + | 0.372215i | ||||
\(465\) | 1.60328 | + | 7.02445i | 0.0743505 | + | 0.325751i | ||||
\(466\) | 1.56590 | 0.0725390 | ||||||||
\(467\) | 19.7525 | 0.914038 | 0.457019 | − | 0.889457i | \(-0.348917\pi\) | ||||
0.457019 | + | 0.889457i | \(0.348917\pi\) | |||||||
\(468\) | −0.717155 | − | 3.14206i | −0.0331505 | − | 0.145242i | ||||
\(469\) | −8.91732 | − | 11.1820i | −0.411763 | − | 0.516335i | ||||
\(470\) | 4.37642 | − | 2.10758i | 0.201869 | − | 0.0972152i | ||||
\(471\) | −4.69655 | − | 2.26174i | −0.216406 | − | 0.104215i | ||||
\(472\) | −6.97042 | −0.320839 | ||||||||
\(473\) | 0.117019 | − | 9.26332i | 0.00538053 | − | 0.425928i | ||||
\(474\) | 3.59766 | 0.165246 | ||||||||
\(475\) | −4.18622 | − | 2.01598i | −0.192077 | − | 0.0924994i | ||||
\(476\) | 6.65336 | − | 3.20409i | 0.304956 | − | 0.146859i | ||||
\(477\) | −2.81406 | − | 3.52872i | −0.128847 | − | 0.161569i | ||||
\(478\) | −3.13592 | − | 13.7394i | −0.143434 | − | 0.628423i | ||||
\(479\) | 24.8825 | 1.13691 | 0.568455 | − | 0.822714i | \(-0.307541\pi\) | ||||
0.568455 | + | 0.822714i | \(0.307541\pi\) | |||||||
\(480\) | 1.10066 | 0.0502378 | ||||||||
\(481\) | 0.942218 | + | 4.12813i | 0.0429615 | + | 0.188226i | ||||
\(482\) | 5.36394 | − | 6.72616i | 0.244321 | − | 0.306368i | ||||
\(483\) | −0.266433 | + | 1.16732i | −0.0121231 | + | 0.0531149i | ||||
\(484\) | −5.61398 | + | 7.03971i | −0.255181 | + | 0.319987i | ||||
\(485\) | 1.48437 | + | 0.714834i | 0.0674017 | + | 0.0324589i | ||||
\(486\) | −3.41179 | − | 14.9480i | −0.154762 | − | 0.678056i | ||||
\(487\) | −5.91012 | − | 2.84616i | −0.267813 | − | 0.128972i | 0.295158 | − | 0.955448i | \(-0.404628\pi\) |
−0.562971 | + | 0.826476i | \(0.690342\pi\) | |||||||
\(488\) | 2.53797 | + | 3.18251i | 0.114889 | + | 0.144066i | ||||
\(489\) | 1.88773 | − | 8.27070i | 0.0853662 | − | 0.374014i | ||||
\(490\) | 0.961952 | − | 4.21459i | 0.0434566 | − | 0.190396i | ||||
\(491\) | −7.12312 | + | 3.43031i | −0.321462 | + | 0.154808i | −0.587654 | − | 0.809112i | \(-0.699949\pi\) |
0.266193 | + | 0.963920i | \(0.414234\pi\) | |||||||
\(492\) | −8.34546 | − | 10.4649i | −0.376242 | − | 0.471793i | ||||
\(493\) | 28.8585 | − | 36.1874i | 1.29972 | − | 1.62980i | ||||
\(494\) | 7.54331 | − | 3.63267i | 0.339389 | − | 0.163441i | ||||
\(495\) | 2.27656 | − | 1.09633i | 0.102324 | − | 0.0492766i | ||||
\(496\) | −4.08148 | + | 5.11801i | −0.183264 | + | 0.229805i | ||||
\(497\) | −6.58429 | − | 8.25644i | −0.295346 | − | 0.370352i | ||||
\(498\) | 0.460949 | − | 0.221981i | 0.0206556 | − | 0.00994722i | ||||
\(499\) | 4.52564 | − | 19.8281i | 0.202596 | − | 0.887629i | −0.766753 | − | 0.641942i | \(-0.778129\pi\) |
0.969349 | − | 0.245688i | \(-0.0790137\pi\) | |||||||
\(500\) | −0.222521 | + | 0.974928i | −0.00995144 | + | 0.0436001i | ||||
\(501\) | 1.04929 | + | 1.31576i | 0.0468787 | + | 0.0587840i | ||||
\(502\) | 15.9594 | + | 7.68562i | 0.712301 | + | 0.343026i | ||||
\(503\) | 4.16599 | + | 18.2524i | 0.185752 | + | 0.813834i | 0.978824 | + | 0.204705i | \(0.0656235\pi\) |
−0.793071 | + | 0.609129i | \(0.791519\pi\) | |||||||
\(504\) | 2.63657 | + | 1.26970i | 0.117442 | + | 0.0565571i | ||||
\(505\) | −6.25048 | + | 7.83785i | −0.278143 | + | 0.348780i | ||||
\(506\) | −0.209015 | + | 0.915755i | −0.00929185 | + | 0.0407103i | ||||
\(507\) | −6.69299 | + | 8.39274i | −0.297246 | + | 0.372735i | ||||
\(508\) | −2.59581 | − | 11.3730i | −0.115170 | − | 0.504594i | ||||
\(509\) | −16.5831 | −0.735033 | −0.367516 | − | 0.930017i | \(-0.619792\pi\) | ||||
−0.367516 | + | 0.930017i | \(0.619792\pi\) | |||||||
\(510\) | −4.96771 | −0.219974 | ||||||||
\(511\) | 5.81841 | + | 25.4921i | 0.257391 | + | 1.12770i | ||||
\(512\) | 0.623490 | + | 0.781831i | 0.0275546 | + | 0.0345524i | ||||
\(513\) | 22.0637 | − | 10.6253i | 0.974136 | − | 0.469119i | ||||
\(514\) | 18.8987 | + | 9.10114i | 0.833586 | + | 0.401434i | ||||
\(515\) | 3.84613 | 0.169481 | ||||||||
\(516\) | −7.05625 | + | 1.51703i | −0.310634 | + | 0.0667836i | ||||
\(517\) | −6.86241 | −0.301809 | ||||||||
\(518\) | −3.46399 | − | 1.66817i | −0.152199 | − | 0.0732952i | ||||
\(519\) | 15.6648 | − | 7.54377i | 0.687608 | − | 0.331135i | ||||
\(520\) | −1.12349 | − | 1.40881i | −0.0492683 | − | 0.0617805i | ||||
\(521\) | 2.19678 | + | 9.62473i | 0.0962428 | + | 0.421667i | 0.999979 | − | 0.00642185i | \(-0.00204415\pi\) |
−0.903737 | + | 0.428089i | \(0.859187\pi\) | |||||||
\(522\) | 18.3418 | 0.802800 | ||||||||
\(523\) | 5.74047 | 0.251013 | 0.125507 | − | 0.992093i | \(-0.459944\pi\) | ||||
0.125507 | + | 0.992093i | \(0.459944\pi\) | |||||||
\(524\) | −3.43616 | − | 15.0548i | −0.150109 | − | 0.657671i | ||||
\(525\) | 1.12281 | − | 1.40796i | 0.0490035 | − | 0.0614485i | ||||
\(526\) | 1.42981 | − | 6.26441i | 0.0623427 | − | 0.273141i | ||||
\(527\) | 18.4214 | − | 23.0997i | 0.802448 | − | 1.00624i | ||||
\(528\) | −1.40097 | − | 0.674671i | −0.0609693 | − | 0.0293613i | ||||
\(529\) | 5.01961 | + | 21.9924i | 0.218244 | + | 0.956190i | ||||
\(530\) | −2.27358 | − | 1.09490i | −0.0987582 | − | 0.0475594i | ||||
\(531\) | 7.77304 | + | 9.74708i | 0.337321 | + | 0.422987i | ||||
\(532\) | −1.69165 | + | 7.41158i | −0.0733421 | + | 0.321333i | ||||
\(533\) | −4.87618 | + | 21.3639i | −0.211211 | + | 0.925375i | ||||
\(534\) | −17.4227 | + | 8.39032i | −0.753953 | + | 0.363085i | ||||
\(535\) | −6.36818 | − | 7.98544i | −0.275320 | − | 0.345241i | ||||
\(536\) | −5.45014 | + | 6.83427i | −0.235410 | + | 0.295195i | ||||
\(537\) | −21.0379 | + | 10.1313i | −0.907851 | + | 0.437198i | ||||
\(538\) | −5.55008 | + | 2.67278i | −0.239281 | + | 0.115232i | ||||
\(539\) | −3.80784 | + | 4.77489i | −0.164015 | + | 0.205669i | ||||
\(540\) | −3.28614 | − | 4.12068i | −0.141413 | − | 0.177326i | ||||
\(541\) | 34.9250 | − | 16.8190i | 1.50154 | − | 0.723106i | 0.510909 | − | 0.859635i | \(-0.329309\pi\) |
0.990636 | + | 0.136529i | \(0.0435948\pi\) | |||||||
\(542\) | 2.32071 | − | 10.1677i | 0.0996831 | − | 0.436740i | ||||
\(543\) | −6.03863 | + | 26.4570i | −0.259142 | + | 1.13538i | ||||
\(544\) | −2.81407 | − | 3.52873i | −0.120652 | − | 0.151293i | ||||
\(545\) | 4.21537 | + | 2.03002i | 0.180567 | + | 0.0869563i | ||||
\(546\) | 0.722085 | + | 3.16366i | 0.0309024 | + | 0.135392i | ||||
\(547\) | 39.8388 | + | 19.1853i | 1.70338 | + | 0.820306i | 0.993217 | + | 0.116272i | \(0.0370945\pi\) |
0.710166 | + | 0.704034i | \(0.248620\pi\) | |||||||
\(548\) | −0.0442247 | + | 0.0554561i | −0.00188919 | + | 0.00236897i | ||||
\(549\) | 1.62006 | − | 7.09794i | 0.0691424 | − | 0.302933i | ||||
\(550\) | 0.880839 | − | 1.10454i | 0.0375591 | − | 0.0470976i | ||||
\(551\) | 10.6029 | + | 46.4542i | 0.451697 | + | 1.97901i | ||||
\(552\) | 0.731798 | 0.0311474 | ||||||||
\(553\) | 5.34804 | 0.227422 | ||||||||
\(554\) | −5.47053 | − | 23.9679i | −0.232420 | − | 1.01830i | ||||
\(555\) | 1.61258 | + | 2.02211i | 0.0684503 | + | 0.0858340i | ||||
\(556\) | 11.7543 | − | 5.66055i | 0.498491 | − | 0.240061i | ||||
\(557\) | −19.7685 | − | 9.52001i | −0.837619 | − | 0.403376i | −0.0346516 | − | 0.999399i | \(-0.511032\pi\) |
−0.802967 | + | 0.596024i | \(0.796746\pi\) | |||||||
\(558\) | 11.7082 | 0.495648 | ||||||||
\(559\) | 9.14440 | + | 7.48332i | 0.386767 | + | 0.316511i | ||||
\(560\) | 1.63616 | 0.0691404 | ||||||||
\(561\) | 6.32315 | + | 3.04507i | 0.266964 | + | 0.128563i | ||||
\(562\) | 10.4747 | − | 5.04437i | 0.441850 | − | 0.212784i | ||||
\(563\) | −28.0619 | − | 35.1885i | −1.18267 | − | 1.48302i | −0.839174 | − | 0.543863i | \(-0.816961\pi\) |
−0.343493 | − | 0.939155i | \(-0.611610\pi\) | |||||||
\(564\) | 1.18969 | + | 5.21235i | 0.0500948 | + | 0.219480i | ||||
\(565\) | 6.27314 | 0.263913 | ||||||||
\(566\) | −5.43183 | −0.228317 | ||||||||
\(567\) | 0.158520 | + | 0.694520i | 0.00665720 | + | 0.0291671i | ||||
\(568\) | −4.02423 | + | 5.04622i | −0.168853 | + | 0.211735i | ||||
\(569\) | 1.18250 | − | 5.18086i | 0.0495728 | − | 0.217193i | −0.944074 | − | 0.329733i | \(-0.893041\pi\) |
0.993647 | + | 0.112540i | \(0.0358986\pi\) | |||||||
\(570\) | 3.18855 | − | 3.99832i | 0.133554 | − | 0.167471i | ||||
\(571\) | 7.31867 | + | 3.52449i | 0.306277 | + | 0.147495i | 0.580709 | − | 0.814111i | \(-0.302776\pi\) |
−0.274432 | + | 0.961607i | \(0.588490\pi\) | |||||||
\(572\) | 0.566471 | + | 2.48187i | 0.0236853 | + | 0.103772i | ||||
\(573\) | −0.999664 | − | 0.481413i | −0.0417616 | − | 0.0201113i | ||||
\(574\) | −12.4058 | − | 15.5564i | −0.517808 | − | 0.649311i | ||||
\(575\) | −0.147948 | + | 0.648205i | −0.00616988 | + | 0.0270320i | ||||
\(576\) | 0.397991 | − | 1.74371i | 0.0165830 | − | 0.0726547i | ||||
\(577\) | −23.6160 | + | 11.3729i | −0.983148 | + | 0.473459i | −0.855187 | − | 0.518320i | \(-0.826558\pi\) |
−0.127961 | + | 0.991779i | \(0.540843\pi\) | |||||||
\(578\) | 2.10171 | + | 2.63546i | 0.0874197 | + | 0.109621i | ||||
\(579\) | −2.19718 | + | 2.75518i | −0.0913117 | + | 0.114501i | ||||
\(580\) | 9.23952 | − | 4.44952i | 0.383650 | − | 0.184756i | ||||
\(581\) | 0.685216 | − | 0.329983i | 0.0284275 | − | 0.0136900i | ||||
\(582\) | −1.13061 | + | 1.41774i | −0.0468653 | + | 0.0587672i | ||||
\(583\) | 2.22279 | + | 2.78729i | 0.0920584 | + | 0.115438i | ||||
\(584\) | 14.3985 | − | 6.93395i | 0.595814 | − | 0.286929i | ||||
\(585\) | −0.717155 | + | 3.14206i | −0.0296507 | + | 0.129908i | ||||
\(586\) | −3.57903 | + | 15.6808i | −0.147848 | + | 0.647766i | ||||
\(587\) | 7.23643 | + | 9.07419i | 0.298679 | + | 0.374532i | 0.908413 | − | 0.418075i | \(-0.137295\pi\) |
−0.609733 | + | 0.792607i | \(0.708724\pi\) | |||||||
\(588\) | 4.28691 | + | 2.06447i | 0.176789 | + | 0.0851371i | ||||
\(589\) | 6.76817 | + | 29.6533i | 0.278878 | + | 1.22184i | ||||
\(590\) | 6.28013 | + | 3.02435i | 0.258549 | + | 0.124511i | ||||
\(591\) | −1.83009 | + | 2.29486i | −0.0752797 | + | 0.0943978i | ||||
\(592\) | −0.522892 | + | 2.29094i | −0.0214907 | + | 0.0941570i | ||||
\(593\) | −2.66414 | + | 3.34073i | −0.109403 | + | 0.137187i | −0.833518 | − | 0.552492i | \(-0.813677\pi\) |
0.724115 | + | 0.689679i | \(0.242248\pi\) | |||||||
\(594\) | 1.65689 | + | 7.25932i | 0.0679831 | + | 0.297853i | ||||
\(595\) | −7.38467 | −0.302742 | ||||||||
\(596\) | 13.2974 | 0.544684 | ||||||||
\(597\) | −3.45946 | − | 15.1569i | −0.141586 | − | 0.620330i | ||||
\(598\) | −0.746980 | − | 0.936683i | −0.0305463 | − | 0.0383038i | ||||
\(599\) | 11.5410 | − | 5.55786i | 0.471553 | − | 0.227088i | −0.182987 | − | 0.983115i | \(-0.558577\pi\) |
0.654540 | + | 0.756027i | \(0.272862\pi\) | |||||||
\(600\) | −0.991657 | − | 0.477557i | −0.0404842 | − | 0.0194962i | ||||
\(601\) | 34.4058 | 1.40344 | 0.701720 | − | 0.712452i | \(-0.252416\pi\) | ||||
0.701720 | + | 0.712452i | \(0.252416\pi\) | |||||||
\(602\) | −10.4894 | + | 2.25512i | −0.427514 | + | 0.0919117i | ||||
\(603\) | 15.6344 | 0.636682 | ||||||||
\(604\) | −9.82701 | − | 4.73244i | −0.399856 | − | 0.192560i | ||||
\(605\) | 8.11243 | − | 3.90674i | 0.329817 | − | 0.158832i | ||||
\(606\) | −6.87963 | − | 8.62678i | −0.279466 | − | 0.350439i | ||||
\(607\) | −6.93562 | − | 30.3869i | −0.281508 | − | 1.23337i | −0.895860 | − | 0.444336i | \(-0.853440\pi\) |
0.614352 | − | 0.789032i | \(-0.289417\pi\) | |||||||
\(608\) | 4.64635 | 0.188435 | ||||||||
\(609\) | −18.4679 | −0.748357 | ||||||||
\(610\) | −0.905791 | − | 3.96853i | −0.0366744 | − | 0.160681i | ||||
\(611\) | 5.45731 | − | 6.84325i | 0.220779 | − | 0.276848i | ||||
\(612\) | −1.79630 | + | 7.87010i | −0.0726111 | + | 0.318130i | ||||
\(613\) | 14.9642 | − | 18.7645i | 0.604398 | − | 0.757891i | −0.381658 | − | 0.924304i | \(-0.624647\pi\) |
0.986056 | + | 0.166412i | \(0.0532183\pi\) | |||||||
\(614\) | −18.8080 | − | 9.05745i | −0.759028 | − | 0.365529i | ||||
\(615\) | 2.97846 | + | 13.0495i | 0.120103 | + | 0.526206i | ||||
\(616\) | −2.08259 | − | 1.00292i | −0.0839098 | − | 0.0404088i | ||||
\(617\) | 30.8773 | + | 38.7189i | 1.24307 | + | 1.55876i | 0.683384 | + | 0.730059i | \(0.260507\pi\) |
0.559687 | + | 0.828704i | \(0.310921\pi\) | |||||||
\(618\) | −0.941991 | + | 4.12713i | −0.0378924 | + | 0.166018i | ||||
\(619\) | 8.03819 | − | 35.2176i | 0.323082 | − | 1.41551i | −0.508954 | − | 0.860793i | \(-0.669968\pi\) |
0.832036 | − | 0.554721i | \(-0.187175\pi\) | |||||||
\(620\) | 5.89791 | − | 2.84028i | 0.236866 | − | 0.114068i | ||||
\(621\) | −2.18487 | − | 2.73974i | −0.0876757 | − | 0.109942i | ||||
\(622\) | −12.3945 | + | 15.5422i | −0.496973 | + | 0.623185i | ||||
\(623\) | −25.8994 | + | 12.4725i | −1.03764 | + | 0.499700i | ||||
\(624\) | 1.78690 | − | 0.860528i | 0.0715334 | − | 0.0344487i | ||||
\(625\) | 0.623490 | − | 0.781831i | 0.0249396 | − | 0.0312733i | ||||
\(626\) | 15.2053 | + | 19.0668i | 0.607726 | + | 0.762064i | ||||
\(627\) | −6.50940 | + | 3.13476i | −0.259960 | + | 0.125190i | ||||
\(628\) | −1.05387 | + | 4.61732i | −0.0420541 | + | 0.184251i | ||||
\(629\) | 2.36003 | − | 10.3399i | 0.0941004 | − | 0.412281i | ||||
\(630\) | −1.82456 | − | 2.28793i | −0.0726922 | − | 0.0911532i | ||||
\(631\) | 17.6348 | + | 8.49248i | 0.702031 | + | 0.338080i | 0.750616 | − | 0.660739i | \(-0.229757\pi\) |
−0.0485849 | + | 0.998819i | \(0.515471\pi\) | |||||||
\(632\) | −0.727343 | − | 3.18670i | −0.0289322 | − | 0.126760i | ||||
\(633\) | 5.28492 | + | 2.54508i | 0.210057 | + | 0.101158i | ||||
\(634\) | −0.0326319 | + | 0.0409191i | −0.00129598 | + | 0.00162511i | ||||
\(635\) | −2.59581 | + | 11.3730i | −0.103011 | + | 0.451323i | ||||
\(636\) | 1.73174 | − | 2.17153i | 0.0686679 | − | 0.0861068i | ||||
\(637\) | −1.73338 | − | 7.59443i | −0.0686790 | − | 0.300902i | ||||
\(638\) | −14.4879 | −0.573583 | ||||||||
\(639\) | 11.5440 | 0.456673 | ||||||||
\(640\) | −0.222521 | − | 0.974928i | −0.00879591 | − | 0.0385374i | ||||
\(641\) | −19.3683 | − | 24.2870i | −0.765001 | − | 0.959281i | 0.234918 | − | 0.972015i | \(-0.424518\pi\) |
−0.999919 | + | 0.0127344i | \(0.995946\pi\) | |||||||
\(642\) | 10.1286 | − | 4.87765i | 0.399742 | − | 0.192506i | ||||
\(643\) | −13.5573 | − | 6.52883i | −0.534646 | − | 0.257472i | 0.147022 | − | 0.989133i | \(-0.453031\pi\) |
−0.681669 | + | 0.731661i | \(0.738745\pi\) | |||||||
\(644\) | 1.08784 | 0.0428670 | ||||||||
\(645\) | 7.01568 | + | 1.69479i | 0.276242 | + | 0.0667325i | ||||
\(646\) | −20.9709 | −0.825089 | ||||||||
\(647\) | 33.4686 | + | 16.1176i | 1.31579 | + | 0.633650i | 0.954334 | − | 0.298740i | \(-0.0965664\pi\) |
0.361453 | + | 0.932390i | \(0.382281\pi\) | |||||||
\(648\) | 0.392280 | − | 0.188912i | 0.0154102 | − | 0.00742116i | ||||
\(649\) | −6.13981 | − | 7.69908i | −0.241009 | − | 0.302215i | ||||
\(650\) | 0.400969 | + | 1.75676i | 0.0157273 | + | 0.0689058i | ||||
\(651\) | −11.7887 | −0.462036 | ||||||||
\(652\) | −7.70758 | −0.301852 | ||||||||
\(653\) | 6.88729 | + | 30.1752i | 0.269521 | + | 1.18085i | 0.910572 | + | 0.413349i | \(0.135641\pi\) |
−0.641052 | + | 0.767498i | \(0.721502\pi\) | |||||||
\(654\) | −3.21075 | + | 4.02616i | −0.125550 | + | 0.157435i | ||||
\(655\) | −3.43616 | + | 15.0548i | −0.134262 | + | 0.588239i | ||||
\(656\) | −7.58226 | + | 9.50785i | −0.296037 | + | 0.371219i | ||||
\(657\) | −25.7525 | − | 12.4018i | −1.00470 | − | 0.483839i | ||||
\(658\) | 1.76851 | + | 7.74833i | 0.0689436 | + | 0.302062i | ||||
\(659\) | −22.3304 | − | 10.7537i | −0.869868 | − | 0.418906i | −0.0549544 | − | 0.998489i | \(-0.517501\pi\) |
−0.814914 | + | 0.579583i | \(0.803216\pi\) | |||||||
\(660\) | 0.969501 | + | 1.21572i | 0.0377378 | + | 0.0473217i | ||||
\(661\) | 6.78789 | − | 29.7397i | 0.264018 | − | 1.15674i | −0.652830 | − | 0.757504i | \(-0.726419\pi\) |
0.916849 | − | 0.399235i | \(-0.130724\pi\) | |||||||
\(662\) | 2.27850 | − | 9.98277i | 0.0885565 | − | 0.387991i | ||||
\(663\) | −8.06503 | + | 3.88392i | −0.313220 | + | 0.150839i | ||||
\(664\) | −0.289815 | − | 0.363416i | −0.0112470 | − | 0.0141033i | ||||
\(665\) | 4.73989 | − | 5.94363i | 0.183805 | − | 0.230484i | ||||
\(666\) | 3.78663 | − | 1.82355i | 0.146729 | − | 0.0706610i | ||||
\(667\) | 6.14312 | − | 2.95837i | 0.237863 | − | 0.114549i | ||||
\(668\) | 0.953328 | − | 1.19544i | 0.0368854 | − | 0.0462528i | ||||
\(669\) | 11.9845 | + | 15.0280i | 0.463346 | + | 0.581018i | ||||
\(670\) | 7.87569 | − | 3.79273i | 0.304264 | − | 0.146526i | ||||
\(671\) | −1.27966 | + | 5.60656i | −0.0494008 | + | 0.216439i | ||||
\(672\) | −0.400727 | + | 1.75570i | −0.0154584 | + | 0.0677276i | ||||
\(673\) | 3.35210 | + | 4.20340i | 0.129214 | + | 0.162029i | 0.842230 | − | 0.539119i | \(-0.181243\pi\) |
−0.713016 | + | 0.701148i | \(0.752671\pi\) | |||||||
\(674\) | −4.45949 | − | 2.14758i | −0.171773 | − | 0.0827216i | ||||
\(675\) | 1.17281 | + | 5.13841i | 0.0451414 | + | 0.197777i | ||||
\(676\) | 8.78717 | + | 4.23168i | 0.337968 | + | 0.162757i | ||||
\(677\) | −27.1347 | + | 34.0258i | −1.04287 | + | 1.30772i | −0.0927980 | + | 0.995685i | \(0.529581\pi\) |
−0.950072 | + | 0.312032i | \(0.898990\pi\) | |||||||
\(678\) | −1.53641 | + | 6.73146i | −0.0590055 | + | 0.258520i | ||||
\(679\) | −1.68069 | + | 2.10752i | −0.0644989 | + | 0.0808791i | ||||
\(680\) | 1.00433 | + | 4.40025i | 0.0385142 | + | 0.168742i | ||||
\(681\) | −8.48324 | −0.325079 | ||||||||
\(682\) | −9.24816 | −0.354130 | ||||||||
\(683\) | 2.13600 | + | 9.35841i | 0.0817316 | + | 0.358090i | 0.999212 | − | 0.0396914i | \(-0.0126375\pi\) |
−0.917480 | + | 0.397781i | \(0.869780\pi\) | |||||||
\(684\) | −5.18137 | − | 6.49723i | −0.198114 | − | 0.248428i | ||||
\(685\) | 0.0639066 | − | 0.0307758i | 0.00244175 | − | 0.00117588i | ||||
\(686\) | 16.6915 | + | 8.03822i | 0.637286 | + | 0.306901i | ||||
\(687\) | 16.2286 | 0.619161 | ||||||||
\(688\) | 2.77031 | + | 5.94352i | 0.105617 | + | 0.226594i | ||||
\(689\) | −4.54717 | −0.173233 | ||||||||
\(690\) | −0.659327 | − | 0.317515i | −0.0251002 | − | 0.0120876i | ||||
\(691\) | −37.3538 | + | 17.9886i | −1.42101 | + | 0.684320i | −0.977301 | − | 0.211853i | \(-0.932050\pi\) |
−0.443704 | + | 0.896174i | \(0.646336\pi\) | |||||||
\(692\) | −9.84901 | − | 12.3503i | −0.374403 | − | 0.469487i | ||||
\(693\) | 0.919955 | + | 4.03059i | 0.0349462 | + | 0.153109i | ||||
\(694\) | 35.4292 | 1.34488 | ||||||||
\(695\) | −13.0462 | −0.494872 | ||||||||
\(696\) | 2.51167 | + | 11.0043i | 0.0952045 | + | 0.417118i | ||||
\(697\) | 34.2219 | − | 42.9128i | 1.29625 | − | 1.62544i | ||||
\(698\) | 0.742510 | − | 3.25315i | 0.0281044 | − | 0.123134i | ||||
\(699\) | 1.07460 | − | 1.34750i | 0.0406450 | − | 0.0509672i | ||||
\(700\) | −1.47413 | − | 0.709904i | −0.0557169 | − | 0.0268318i | ||||
\(701\) | 3.36885 | + | 14.7599i | 0.127240 | + | 0.557474i | 0.997852 | + | 0.0655044i | \(0.0208656\pi\) |
−0.870613 | + | 0.491969i | \(0.836277\pi\) | |||||||
\(702\) | −8.55669 | − | 4.12068i | −0.322951 | − | 0.155525i | ||||
\(703\) | 6.80742 | + | 8.53623i | 0.256747 | + | 0.321950i | ||||
\(704\) | −0.314368 | + | 1.37734i | −0.0118482 | + | 0.0519103i | ||||
\(705\) | 1.18969 | − | 5.21235i | 0.0448061 | − | 0.196309i | ||||
\(706\) | 10.6058 | − | 5.10749i | 0.399155 | − | 0.192223i | ||||
\(707\) | −10.2268 | − | 12.8240i | −0.384618 | − | 0.482296i | ||||
\(708\) | −4.78343 | + | 5.99823i | −0.179772 | + | 0.225427i | ||||
\(709\) | 5.42390 | − | 2.61201i | 0.203699 | − | 0.0980961i | −0.329253 | − | 0.944242i | \(-0.606797\pi\) |
0.532952 | + | 0.846146i | \(0.321083\pi\) | |||||||
\(710\) | 5.81518 | − | 2.80044i | 0.218240 | − | 0.105099i | ||||
\(711\) | −3.64502 | + | 4.57072i | −0.136699 | + | 0.171415i | ||||
\(712\) | 10.9543 | + | 13.7362i | 0.410528 | + | 0.514786i | ||||
\(713\) | 3.92137 | − | 1.88843i | 0.146856 | − | 0.0707223i | ||||
\(714\) | 1.80865 | − | 7.92420i | 0.0676869 | − | 0.296556i | ||||
\(715\) | 0.566471 | − | 2.48187i | 0.0211848 | − | 0.0928167i | ||||
\(716\) | 13.2273 | + | 16.5865i | 0.494326 | + | 0.619865i | ||||
\(717\) | −13.9751 | − | 6.73006i | −0.521910 | − | 0.251339i | ||||
\(718\) | 1.99644 | + | 8.74698i | 0.0745065 | + | 0.326434i | ||||
\(719\) | 10.7918 | + | 5.19706i | 0.402467 | + | 0.193818i | 0.624156 | − | 0.781300i | \(-0.285443\pi\) |
−0.221689 | + | 0.975117i | \(0.571157\pi\) | |||||||
\(720\) | −1.11515 | + | 1.39835i | −0.0415591 | + | 0.0521134i | ||||
\(721\) | −1.40030 | + | 6.13512i | −0.0521499 | + | 0.228484i | ||||
\(722\) | 1.61397 | − | 2.02385i | 0.0600657 | − | 0.0753200i | ||||
\(723\) | −2.10706 | − | 9.23163i | −0.0783624 | − | 0.343328i | ||||
\(724\) | 24.6556 | 0.916319 | ||||||||
\(725\) | −10.2551 | −0.380865 | ||||||||
\(726\) | 2.20528 | + | 9.66196i | 0.0818456 | + | 0.358589i | ||||
\(727\) | 4.58814 | + | 5.75335i | 0.170165 | + | 0.213380i | 0.859600 | − | 0.510967i | \(-0.170713\pi\) |
−0.689435 | + | 0.724347i | \(0.742141\pi\) | |||||||
\(728\) | 2.65629 | − | 1.27920i | 0.0984487 | − | 0.0474104i | ||||
\(729\) | −16.3814 | − | 7.88884i | −0.606717 | − | 0.292179i | ||||
\(730\) | −15.9811 | −0.591488 | ||||||||
\(731\) | −12.5036 | − | 26.8255i | −0.462461 | − | 0.992178i | ||||
\(732\) | 4.48032 | 0.165597 | ||||||||
\(733\) | −35.9091 | − | 17.2929i | −1.32633 | − | 0.638727i | −0.369462 | − | 0.929246i | \(-0.620458\pi\) |
−0.956869 | + | 0.290519i | \(0.906172\pi\) | |||||||
\(734\) | 5.25681 | − | 2.53155i | 0.194032 | − | 0.0934411i | ||||
\(735\) | −2.96663 | − | 3.72004i | −0.109426 | − | 0.137216i | ||||
\(736\) | −0.147948 | − | 0.648205i | −0.00545345 | − | 0.0238931i | ||||
\(737\) | −12.3494 | −0.454896 | ||||||||
\(738\) | 21.7506 | 0.800652 | ||||||||
\(739\) | −1.28792 | − | 5.64273i | −0.0473768 | − | 0.207571i | 0.945700 | − | 0.325042i | \(-0.105378\pi\) |
−0.993076 | + | 0.117471i | \(0.962521\pi\) | |||||||
\(740\) | 1.46511 | − | 1.83719i | 0.0538585 | − | 0.0675364i | ||||
\(741\) | 2.05057 | − | 8.98413i | 0.0753296 | − | 0.330040i | ||||
\(742\) | 2.57429 | − | 3.22805i | 0.0945050 | − | 0.118506i | ||||
\(743\) | 2.12733 | + | 1.02447i | 0.0780440 | + | 0.0375840i | 0.472499 | − | 0.881331i | \(-0.343352\pi\) |
−0.394455 | + | 0.918915i | \(0.629066\pi\) | |||||||
\(744\) | 1.60328 | + | 7.02445i | 0.0587793 | + | 0.257529i | ||||
\(745\) | −11.9806 | − | 5.76954i | −0.438934 | − | 0.211380i | ||||
\(746\) | −0.513431 | − | 0.643823i | −0.0187981 | − | 0.0235720i | ||||
\(747\) | −0.184997 | + | 0.810525i | −0.00676869 | + | 0.0296556i | ||||
\(748\) | 1.41887 | − | 6.21648i | 0.0518791 | − | 0.227297i | ||||
\(749\) | 15.0564 | − | 7.25079i | 0.550150 | − | 0.264938i | ||||
\(750\) | 0.686248 | + | 0.860528i | 0.0250582 | + | 0.0314220i | ||||
\(751\) | −0.600199 | + | 0.752625i | −0.0219016 | + | 0.0274637i | −0.792662 | − | 0.609662i | \(-0.791305\pi\) |
0.770760 | + | 0.637125i | \(0.219877\pi\) | |||||||
\(752\) | 4.37642 | − | 2.10758i | 0.159592 | − | 0.0768554i | ||||
\(753\) | 17.5658 | − | 8.45923i | 0.640132 | − | 0.308271i | ||||
\(754\) | 11.5215 | − | 14.4475i | 0.419588 | − | 0.526147i | ||||
\(755\) | 6.80051 | + | 8.52756i | 0.247496 | + | 0.310350i | ||||
\(756\) | 7.76948 | − | 3.74159i | 0.282573 | − | 0.136080i | ||||
\(757\) | −0.673608 | + | 2.95127i | −0.0244827 | + | 0.107266i | −0.985693 | − | 0.168551i | \(-0.946091\pi\) |
0.961210 | + | 0.275817i | \(0.0889483\pi\) | |||||||
\(758\) | −1.12332 | + | 4.92160i | −0.0408009 | + | 0.178761i | ||||
\(759\) | 0.644596 | + | 0.808298i | 0.0233974 | + | 0.0293394i | ||||
\(760\) | −4.18622 | − | 2.01598i | −0.151850 | − | 0.0731272i | ||||
\(761\) | −7.64260 | − | 33.4844i | −0.277044 | − | 1.21381i | −0.901510 | − | 0.432757i | \(-0.857541\pi\) |
0.624466 | − | 0.781052i | \(-0.285316\pi\) | |||||||
\(762\) | −11.5681 | − | 5.57091i | −0.419069 | − | 0.201813i | ||||
\(763\) | −4.77289 | + | 5.98502i | −0.172790 | + | 0.216672i | ||||
\(764\) | −0.224318 | + | 0.982800i | −0.00811553 | + | 0.0355564i | ||||
\(765\) | 5.03312 | − | 6.31133i | 0.181973 | − | 0.228187i | ||||
\(766\) | 5.94090 | + | 26.0288i | 0.214654 | + | 0.940459i | ||||
\(767\) | 12.5603 | 0.453525 | ||||||||
\(768\) | 1.10066 | 0.0397165 | ||||||||
\(769\) | −2.68563 | − | 11.7665i | −0.0968463 | − | 0.424311i | 0.903141 | − | 0.429344i | \(-0.141255\pi\) |
−0.999987 | + | 0.00503273i | \(0.998398\pi\) | |||||||
\(770\) | 1.44119 | + | 1.80720i | 0.0519370 | + | 0.0651270i | ||||
\(771\) | 20.8010 | − | 10.0172i | 0.749129 | − | 0.360761i | ||||
\(772\) | 2.88466 | + | 1.38918i | 0.103821 | + | 0.0499977i | ||||
\(773\) | −34.5806 | −1.24378 | −0.621889 | − | 0.783106i | \(-0.713634\pi\) | ||||
−0.621889 | + | 0.783106i | \(0.713634\pi\) | |||||||
\(774\) | 5.22181 | − | 10.5018i | 0.187694 | − | 0.377478i | ||||
\(775\) | −6.54618 | −0.235146 | ||||||||
\(776\) | 1.48437 | + | 0.714834i | 0.0532857 | + | 0.0256610i | ||||
\(777\) | −3.81266 | + | 1.83608i | −0.136779 | + | 0.0658691i | ||||
\(778\) | −12.0066 | − | 15.0557i | −0.430456 | − | 0.539775i | ||||
\(779\) | 12.5734 | + | 55.0876i | 0.450488 | + | 1.97372i | ||||
\(780\) | −1.98331 | −0.0710140 | ||||||||
\(781\) | −9.11844 | −0.326283 | ||||||||
\(782\) | 0.667752 | + | 2.92561i | 0.0238788 | + | 0.104620i | ||||
\(783\) | 33.6996 | − | 42.2580i | 1.20433 | − | 1.51018i | ||||
\(784\) | 0.961952 | − | 4.21459i | 0.0343554 | − | 0.150521i | ||||
\(785\) | 2.95289 | − | 3.70281i | 0.105393 | − | 0.132159i | ||||
\(786\) | −15.3131 | − | 7.37441i | −0.546201 | − | 0.263036i | ||||
\(787\) | −4.40805 | − | 19.3129i | −0.157130 | − | 0.688431i | −0.990705 | − | 0.136026i | \(-0.956567\pi\) |
0.833575 | − | 0.552406i | \(-0.186290\pi\) | |||||||
\(788\) | 2.40271 | + | 1.15708i | 0.0855928 | + | 0.0412193i | ||||
\(789\) | −4.40949 | − | 5.52933i | −0.156982 | − | 0.196849i | ||||
\(790\) | −0.727343 | + | 3.18670i | −0.0258777 | + | 0.113378i | ||||
\(791\) | −2.28393 | + | 10.0065i | −0.0812071 | + | 0.355791i | ||||
\(792\) | 2.27656 | − | 1.09633i | 0.0808941 | − | 0.0389565i | ||||
\(793\) | −4.57326 | − | 5.73469i | −0.162401 | − | 0.203645i | ||||
\(794\) | 4.56359 | − | 5.72256i | 0.161956 | − | 0.203086i | ||||
\(795\) | −2.50243 | + | 1.20511i | −0.0887522 | + | 0.0427408i | ||||
\(796\) | −12.7261 | + | 6.12857i | −0.451065 | + | 0.217221i | ||||
\(797\) | 14.0928 | − | 17.6718i | 0.499192 | − | 0.625966i | −0.466855 | − | 0.884334i | \(-0.654613\pi\) |
0.966047 | + | 0.258367i | \(0.0831845\pi\) | |||||||
\(798\) | 5.21698 | + | 6.54189i | 0.184679 | + | 0.231580i | ||||
\(799\) | −19.7526 | + | 9.51235i | −0.698797 | + | 0.336523i | ||||
\(800\) | −0.222521 | + | 0.974928i | −0.00786730 | + | 0.0344689i | ||||
\(801\) | 6.99242 | − | 30.6358i | 0.247065 | − | 1.08246i | ||||
\(802\) | 16.1664 | + | 20.2721i | 0.570857 | + | 0.715831i | ||||
\(803\) | 20.3416 | + | 9.79598i | 0.717838 | + | 0.345692i | ||||
\(804\) | 2.14092 | + | 9.38000i | 0.0755046 | + | 0.330807i | ||||
\(805\) | −0.980112 | − | 0.471997i | −0.0345444 | − | 0.0166357i | ||||
\(806\) | 7.35457 | − | 9.22234i | 0.259054 | − | 0.324843i | ||||
\(807\) | −1.50873 | + | 6.61019i | −0.0531099 | + | 0.232690i | ||||
\(808\) | −6.25048 | + | 7.83785i | −0.219891 | + | 0.275735i | ||||
\(809\) | −8.62191 | − | 37.7750i | −0.303130 | − | 1.32810i | −0.865373 | − | 0.501128i | \(-0.832919\pi\) |
0.562243 | − | 0.826972i | \(-0.309938\pi\) | |||||||
\(810\) | −0.435397 | −0.0152983 | ||||||||
\(811\) | 7.16202 | 0.251492 | 0.125746 | − | 0.992062i | \(-0.459867\pi\) | ||||
0.125746 | + | 0.992062i | \(0.459867\pi\) | |||||||
\(812\) | 3.73368 | + | 16.3583i | 0.131026 | + | 0.574064i | ||||
\(813\) | −7.15700 | − | 8.97460i | −0.251007 | − | 0.314753i | ||||
\(814\) | −2.99101 | + | 1.44039i | −0.104835 | + | 0.0504858i | ||||
\(815\) | 6.94429 | + | 3.34419i | 0.243248 | + | 0.117142i | ||||
\(816\) | −4.96771 | −0.173905 | ||||||||
\(817\) | 29.6163 | + | 7.15448i | 1.03614 | + | 0.250303i | ||||
\(818\) | 7.24422 | 0.253288 | ||||||||
\(819\) | −4.75093 | − | 2.28793i | −0.166011 | − | 0.0799466i | ||||
\(820\) | 10.9567 | − | 5.27646i | 0.382624 | − | 0.184262i | ||||
\(821\) | 2.89434 | + | 3.62939i | 0.101013 | + | 0.126666i | 0.829769 | − | 0.558108i | \(-0.188472\pi\) |
−0.728756 | + | 0.684774i | \(0.759901\pi\) | |||||||
\(822\) | 0.0173723 | + | 0.0761132i | 0.000605930 | + | 0.00265475i | ||||
\(823\) | −42.2397 | −1.47238 | −0.736191 | − | 0.676774i | \(-0.763377\pi\) | ||||
−0.736191 | + | 0.676774i | \(0.763377\pi\) | |||||||
\(824\) | 3.84613 | 0.133986 | ||||||||
\(825\) | −0.346011 | − | 1.51597i | −0.0120465 | − | 0.0527794i | ||||
\(826\) | −7.11073 | + | 8.91657i | −0.247414 | + | 0.310247i | ||||
\(827\) | −9.93225 | + | 43.5160i | −0.345378 | + | 1.51320i | 0.442161 | + | 0.896936i | \(0.354212\pi\) |
−0.787539 | + | 0.616265i | \(0.788645\pi\) | |||||||
\(828\) | −0.741432 | + | 0.929727i | −0.0257666 | + | 0.0323102i | ||||
\(829\) | 24.9090 | + | 11.9955i | 0.865126 | + | 0.416623i | 0.813170 | − | 0.582027i | \(-0.197740\pi\) |
0.0519561 | + | 0.998649i | \(0.483454\pi\) | |||||||
\(830\) | 0.103434 | + | 0.453173i | 0.00359024 | + | 0.0157299i | ||||
\(831\) | −24.3792 | − | 11.7404i | −0.845706 | − | 0.407270i | ||||
\(832\) | −1.12349 | − | 1.40881i | −0.0389500 | − | 0.0488418i | ||||
\(833\) | −4.34169 | + | 19.0222i | −0.150431 | + | 0.659079i | ||||
\(834\) | 3.19527 | − | 13.9994i | 0.110643 | − | 0.484759i | ||||
\(835\) | −1.37760 | + | 0.663417i | −0.0476738 | + | 0.0229585i | ||||
\(836\) | 4.09269 | + | 5.13207i | 0.141549 | + | 0.177496i | ||||
\(837\) | 21.5116 | − | 26.9747i | 0.743551 | − | 0.932384i | ||||
\(838\) | 20.3069 | − | 9.77927i | 0.701489 | − | 0.337819i | ||||
\(839\) | −44.9758 | + | 21.6592i | −1.55274 | + | 0.747759i | −0.996526 | − | 0.0832820i | \(-0.973460\pi\) |
−0.556211 | + | 0.831041i | \(0.687745\pi\) | |||||||
\(840\) | 1.12281 | − | 1.40796i | 0.0387407 | − | 0.0485793i | ||||
\(841\) | 47.4894 | + | 59.5498i | 1.63756 | + | 2.05344i | ||||
\(842\) | −26.2631 | + | 12.6476i | −0.905085 | + | 0.435866i | ||||
\(843\) | 2.84745 | − | 12.4755i | 0.0980714 | − | 0.429679i | ||||
\(844\) | 1.18590 | − | 5.19576i | 0.0408203 | − | 0.178845i | ||||
\(845\) | −6.08091 | − | 7.62522i | −0.209190 | − | 0.262315i | ||||
\(846\) | −7.82748 | − | 3.76952i | −0.269114 | − | 0.129599i | ||||
\(847\) | 3.27822 | + | 14.3628i | 0.112641 | + | 0.493513i | ||||
\(848\) | −2.27358 | − | 1.09490i | −0.0780752 | − | 0.0375990i | ||||
\(849\) | −3.72758 | + | 4.67424i | −0.127930 | + | 0.160420i | ||||
\(850\) | 1.00433 | − | 4.40025i | 0.0344482 | − | 0.150927i | ||||
\(851\) | 0.974114 | − | 1.22150i | 0.0333922 | − | 0.0418725i | ||||
\(852\) | 1.58080 | + | 6.92592i | 0.0541572 | + | 0.237278i | ||||
\(853\) | −51.3411 | −1.75789 | −0.878943 | − | 0.476927i | \(-0.841751\pi\) | ||||
−0.878943 | + | 0.476927i | \(0.841751\pi\) | |||||||
\(854\) | 6.66014 | 0.227905 | ||||||||
\(855\) | 1.84921 | + | 8.10191i | 0.0632416 | + | 0.277079i | ||||
\(856\) | −6.36818 | − | 7.98544i | −0.217660 | − | 0.272937i | ||||
\(857\) | −26.2422 | + | 12.6376i | −0.896415 | + | 0.431691i | −0.824593 | − | 0.565727i | \(-0.808596\pi\) |
−0.0718224 | + | 0.997417i | \(0.522881\pi\) | |||||||
\(858\) | 2.52446 | + | 1.21572i | 0.0861836 | + | 0.0415038i | ||||
\(859\) | −37.5787 | −1.28217 | −0.641085 | − | 0.767470i | \(-0.721515\pi\) | ||||
−0.641085 | + | 0.767470i | \(0.721515\pi\) | |||||||
\(860\) | 0.0828301 | − | 6.55692i | 0.00282448 | − | 0.223589i | ||||
\(861\) | −21.9001 | −0.746355 | ||||||||
\(862\) | 35.8760 | + | 17.2770i | 1.22194 | + | 0.588455i | ||||
\(863\) | 20.2826 | − | 9.76758i | 0.690428 | − | 0.332492i | −0.0555571 | − | 0.998456i | \(-0.517693\pi\) |
0.745985 | + | 0.665963i | \(0.231979\pi\) | |||||||
\(864\) | −3.28614 | − | 4.12068i | −0.111797 | − | 0.140189i | ||||
\(865\) | 3.51507 | + | 15.4005i | 0.119516 | + | 0.523634i | ||||
\(866\) | 33.7186 | 1.14581 | ||||||||
\(867\) | 3.71019 | 0.126005 | ||||||||
\(868\) | 2.38334 | + | 10.4421i | 0.0808957 | + | 0.354427i | ||||
\(869\) | 2.87915 | − | 3.61035i | 0.0976686 | − | 0.122473i | ||||
\(870\) | 2.51167 | − | 11.0043i | 0.0851535 | − | 0.373082i | ||||
\(871\) | 9.82082 | − | 12.3149i | 0.332766 | − | 0.417275i | ||||
\(872\) | 4.21537 | + | 2.03002i | 0.142750 | + | 0.0687450i | ||||
\(873\) | −0.655700 | − | 2.87281i | −0.0221921 | − | 0.0972299i | ||||
\(874\) | −2.78331 | − | 1.34037i | −0.0941469 | − | 0.0453388i | ||||
\(875\) | 1.02013 | + | 1.27920i | 0.0344867 | + | 0.0432449i | ||||
\(876\) | 3.91408 | − | 17.1487i | 0.132245 | − | 0.579401i | ||||
\(877\) | 7.60347 | − | 33.3130i | 0.256751 | − | 1.12490i | −0.667950 | − | 0.744206i | \(-0.732828\pi\) |
0.924701 | − | 0.380693i | \(-0.124315\pi\) | |||||||
\(878\) | −23.6843 | + | 11.4058i | −0.799307 | + | 0.384926i | ||||
\(879\) | 11.0376 | + | 13.8407i | 0.372290 | + | 0.466836i | ||||
\(880\) | 0.880839 | − | 1.10454i | 0.0296931 | − | 0.0372339i | ||||
\(881\) | 0.369882 | − | 0.178126i | 0.0124616 | − | 0.00600121i | −0.427643 | − | 0.903948i | \(-0.640656\pi\) |
0.440104 | + | 0.897947i | \(0.354942\pi\) | |||||||
\(882\) | −6.96619 | + | 3.35474i | −0.234564 | + | 0.112960i | ||||
\(883\) | −14.7268 | + | 18.4668i | −0.495596 | + | 0.621457i | −0.965230 | − | 0.261404i | \(-0.915815\pi\) |
0.469634 | + | 0.882861i | \(0.344386\pi\) | |||||||
\(884\) | 5.07077 | + | 6.35855i | 0.170549 | + | 0.213861i | ||||
\(885\) | 6.91226 | − | 3.32877i | 0.232353 | − | 0.111895i | ||||
\(886\) | 7.36658 | − | 32.2751i | 0.247485 | − | 1.08430i | ||||
\(887\) | 12.9316 | − | 56.6569i | 0.434200 | − | 1.90235i | 0.00321413 | − | 0.999995i | \(-0.498977\pi\) |
0.430986 | − | 0.902359i | \(-0.358166\pi\) | |||||||
\(888\) | 1.61258 | + | 2.02211i | 0.0541147 | + | 0.0678577i | ||||
\(889\) | −17.1964 | − | 8.28135i | −0.576749 | − | 0.277747i | ||||
\(890\) | −3.90953 | − | 17.1288i | −0.131048 | − | 0.574158i | ||||
\(891\) | 0.554195 | + | 0.266886i | 0.0185662 | + | 0.00894103i | ||||
\(892\) | 10.8885 | − | 13.6537i | 0.364573 | − | 0.457160i | ||||
\(893\) | 5.02219 | − | 22.0036i | 0.168061 | − | 0.736324i | ||||
\(894\) | 9.12534 | − | 11.4428i | 0.305197 | − | 0.382705i | ||||
\(895\) | −4.72075 | − | 20.6830i | −0.157797 | − | 0.691356i | ||||
\(896\) | 1.63616 | 0.0546603 | ||||||||
\(897\) | −1.31865 | −0.0440286 | ||||||||
\(898\) | 4.28894 | + | 18.7911i | 0.143124 | + | 0.627067i | ||||
\(899\) | 41.8560 | + | 52.4857i | 1.39597 | + | 1.75050i | ||||
\(900\) | 1.61143 | − | 0.776025i | 0.0537145 | − | 0.0258675i | ||||
\(901\) | 10.2616 | + | 4.94174i | 0.341864 | + | 0.164633i | ||||
\(902\) | −17.1805 | −0.572049 | ||||||||
\(903\) | −5.25770 | + | 10.5739i | −0.174965 | + | 0.351879i | ||||
\(904\) | 6.27314 | 0.208642 | ||||||||
\(905\) | −22.2139 | − | 10.6977i | −0.738417 | − | 0.355603i | ||||
\(906\) | −10.8162 | + | 5.20879i | −0.359343 | + | 0.173050i | ||||
\(907\) | −27.6635 | − | 34.6890i | −0.918552 | − | 1.15183i | −0.988033 | − | 0.154245i | \(-0.950706\pi\) |
0.0694803 | − | 0.997583i | \(-0.477866\pi\) | |||||||
\(908\) | 1.71507 | + | 7.51420i | 0.0569165 | + | 0.249367i | ||||
\(909\) | 17.9303 | 0.594709 | ||||||||
\(910\) | −2.94826 | −0.0977339 | ||||||||
\(911\) | −10.0169 | − | 43.8870i | −0.331875 | − | 1.45404i | −0.815496 | − | 0.578763i | \(-0.803536\pi\) |
0.483621 | − | 0.875278i | \(-0.339321\pi\) | |||||||
\(912\) | 3.18855 | − | 3.99832i | 0.105583 | − | 0.132397i | ||||
\(913\) | 0.146127 | − | 0.640223i | 0.00483609 | − | 0.0211883i | ||||
\(914\) | −1.77497 | + | 2.22574i | −0.0587107 | + | 0.0736209i | ||||
\(915\) | −4.03663 | − | 1.94394i | −0.133447 | − | 0.0642646i | ||||
\(916\) | −3.28096 | − | 14.3748i | −0.108406 | − | 0.474958i | ||||
\(917\) | −22.7634 | − | 10.9623i | −0.751715 | − | 0.362007i | ||||
\(918\) | 14.8317 | + | 18.5983i | 0.489519 | + | 0.613837i | ||||
\(919\) | −12.9088 | + | 56.5570i | −0.425821 | + | 1.86564i | 0.0705099 | + | 0.997511i | \(0.477537\pi\) |
−0.496331 | + | 0.868133i | \(0.665320\pi\) | |||||||
\(920\) | −0.147948 | + | 0.648205i | −0.00487772 | + | 0.0213707i | ||||
\(921\) | −20.7011 | + | 9.96913i | −0.682125 | + | 0.328494i | ||||
\(922\) | 5.82092 | + | 7.29921i | 0.191702 | + | 0.240387i | ||||
\(923\) | 7.25141 | − | 9.09298i | 0.238683 | − | 0.299299i | ||||
\(924\) | −2.29221 | + | 1.10387i | −0.0754082 | + | 0.0363147i | ||||
\(925\) | −2.11715 | + | 1.01956i | −0.0696113 | + | 0.0335230i | ||||
\(926\) | −26.1053 | + | 32.7351i | −0.857874 | + | 1.07574i | ||||
\(927\) | −4.28900 | − | 5.37824i | −0.140869 | − | 0.176644i | ||||
\(928\) | 9.23952 | − | 4.44952i | 0.303302 | − | 0.146063i | ||||
\(929\) | −10.9118 | + | 47.8077i | −0.358005 | + | 1.56852i | 0.400152 | + | 0.916449i | \(0.368957\pi\) |
−0.758157 | + | 0.652072i | \(0.773900\pi\) | |||||||
\(930\) | 1.60328 | − | 7.02445i | 0.0525738 | − | 0.230341i | ||||
\(931\) | −12.5235 | − | 15.7039i | −0.410440 | − | 0.514675i | ||||
\(932\) | −1.41083 | − | 0.679420i | −0.0462133 | − | 0.0222551i | ||||
\(933\) | 4.86879 | + | 21.3316i | 0.159397 | + | 0.698364i | ||||
\(934\) | −17.7964 | − | 8.57030i | −0.582317 | − | 0.280429i | ||||
\(935\) | −3.97559 | + | 4.98523i | −0.130016 | + | 0.163034i | ||||
\(936\) | −0.717155 | + | 3.14206i | −0.0234410 | + | 0.102702i | ||||
\(937\) | −30.2449 | + | 37.9259i | −0.988057 | + | 1.23898i | −0.0170690 | + | 0.999854i | \(0.505433\pi\) |
−0.970988 | + | 0.239130i | \(0.923138\pi\) | |||||||
\(938\) | 3.18255 | + | 13.9437i | 0.103914 | + | 0.455277i | ||||
\(939\) | 26.8421 | 0.875960 | ||||||||
\(940\) | −4.85746 | −0.158433 | ||||||||
\(941\) | −7.13680 | − | 31.2683i | −0.232653 | − | 1.01932i | −0.947429 | − | 0.319966i | \(-0.896329\pi\) |
0.714776 | − | 0.699353i | \(-0.246529\pi\) | |||||||
\(942\) | 3.25011 | + | 4.07551i | 0.105894 | + | 0.132787i | ||||
\(943\) | 7.28482 | − | 3.50818i | 0.237226 | − | 0.114242i | ||||
\(944\) | 6.28013 | + | 3.02435i | 0.204401 | + | 0.0984342i | ||||
\(945\) | −8.62348 | −0.280522 | ||||||||
\(946\) | −4.12463 | + | 8.29519i | −0.134103 | + | 0.269700i | ||||
\(947\) | −22.1106 | −0.718497 | −0.359248 | − | 0.933242i | \(-0.616967\pi\) | ||||
−0.359248 | + | 0.933242i | \(0.616967\pi\) | |||||||
\(948\) | −3.24138 | − | 1.56097i | −0.105275 | − | 0.0506978i | ||||
\(949\) | −25.9452 | + | 12.4945i | −0.842216 | + | 0.405590i | ||||
\(950\) | 2.89695 | + | 3.63267i | 0.0939896 | + | 0.117859i | ||||
\(951\) | 0.0128184 | + | 0.0561613i | 0.000415667 | + | 0.00182115i | ||||
\(952\) | −7.38467 | −0.239339 | ||||||||
\(953\) | 31.4032 | 1.01725 | 0.508625 | − | 0.860988i | \(-0.330154\pi\) | ||||
0.508625 | + | 0.860988i | \(0.330154\pi\) | |||||||
\(954\) | 1.00433 | + | 4.40024i | 0.0325163 | + | 0.142463i | ||||
\(955\) | 0.628524 | − | 0.788144i | 0.0203386 | − | 0.0255037i | ||||
\(956\) | −3.13592 | + | 13.7394i | −0.101423 | + | 0.444362i | ||||
\(957\) | −9.94232 | + | 12.4673i | −0.321390 | + | 0.403010i | ||||
\(958\) | −22.4184 | − | 10.7961i | −0.724304 | − | 0.348807i | ||||
\(959\) | 0.0258246 | + | 0.113145i | 0.000833918 | + | 0.00365364i | ||||
\(960\) | −0.991657 | − | 0.477557i | −0.0320056 | − | 0.0154131i | ||||
\(961\) | 7.38991 | + | 9.26665i | 0.238384 | + | 0.298924i | ||||
\(962\) | 0.942218 | − | 4.12813i | 0.0303783 | − | 0.133096i | ||||
\(963\) | −4.06499 | + | 17.8099i | −0.130992 | + | 0.573915i | ||||
\(964\) | −7.75111 | + | 3.73274i | −0.249646 | + | 0.120223i | ||||
\(965\) | −1.99625 | − | 2.50321i | −0.0642615 | − | 0.0805813i | ||||
\(966\) | 0.746529 | − | 0.936118i | 0.0240192 | − | 0.0301191i | ||||
\(967\) | 10.7613 | − | 5.18235i | 0.346059 | − | 0.166653i | −0.252778 | − | 0.967524i | \(-0.581344\pi\) |
0.598836 | + | 0.800871i | \(0.295630\pi\) | |||||||
\(968\) | 8.11243 | − | 3.90674i | 0.260743 | − | 0.125567i | ||||
\(969\) | −14.3912 | + | 18.0460i | −0.462313 | + | 0.579722i | ||||
\(970\) | −1.02721 | − | 1.28809i | −0.0329819 | − | 0.0413580i | ||||
\(971\) | −38.1266 | + | 18.3608i | −1.22354 | + | 0.589226i | −0.930295 | − | 0.366811i | \(-0.880450\pi\) |
−0.293245 | + | 0.956037i | \(0.594735\pi\) | |||||||
\(972\) | −3.41179 | + | 14.9480i | −0.109433 | + | 0.479458i | ||||
\(973\) | 4.74988 | − | 20.8106i | 0.152274 | − | 0.667156i | ||||
\(974\) | 4.08993 | + | 5.12861i | 0.131050 | + | 0.164331i | ||||
\(975\) | 1.78690 | + | 0.860528i | 0.0572267 | + | 0.0275589i | ||||
\(976\) | −0.905791 | − | 3.96853i | −0.0289937 | − | 0.127030i | ||||
\(977\) | −22.9852 | − | 11.0691i | −0.735361 | − | 0.354131i | 0.0284291 | − | 0.999596i | \(-0.490950\pi\) |
−0.763790 | + | 0.645465i | \(0.776664\pi\) | |||||||
\(978\) | −5.28931 | + | 6.63259i | −0.169134 | + | 0.212087i | ||||
\(979\) | −5.52321 | + | 24.1988i | −0.176523 | + | 0.773396i | ||||
\(980\) | −2.69533 | + | 3.37984i | −0.0860992 | + | 0.107965i | ||||
\(981\) | −1.86209 | − | 8.15833i | −0.0594518 | − | 0.260475i | ||||
\(982\) | 7.90606 | 0.252293 | ||||||||
\(983\) | 38.6512 | 1.23278 | 0.616392 | − | 0.787440i | \(-0.288594\pi\) | ||||
0.616392 | + | 0.787440i | \(0.288594\pi\) | |||||||
\(984\) | 2.97846 | + | 13.0495i | 0.0949498 | + | 0.416002i | ||||
\(985\) | −1.66272 | − | 2.08499i | −0.0529788 | − | 0.0664333i | ||||
\(986\) | −41.7018 | + | 20.0825i | −1.32806 | + | 0.639558i | ||||
\(987\) | 7.88129 | + | 3.79543i | 0.250864 | + | 0.120810i | ||||
\(988\) | −8.37244 | −0.266363 | ||||||||
\(989\) | 0.0550716 | − | 4.35953i | 0.00175118 | − | 0.138625i | ||||
\(990\) | −2.52679 | −0.0803068 | ||||||||
\(991\) | 23.5632 | + | 11.3474i | 0.748509 | + | 0.360463i | 0.768934 | − | 0.639328i | \(-0.220787\pi\) |
−0.0204245 | + | 0.999791i | \(0.506502\pi\) | |||||||
\(992\) | 5.89791 | − | 2.84028i | 0.187259 | − | 0.0901790i | ||||
\(993\) | −7.02683 | − | 8.81137i | −0.222990 | − | 0.279620i | ||||
\(994\) | 2.34991 | + | 10.2956i | 0.0745345 | + | 0.326557i | ||||
\(995\) | 14.1249 | 0.447790 | ||||||||
\(996\) | −0.511615 | −0.0162111 | ||||||||
\(997\) | −13.2914 | − | 58.2336i | −0.420944 | − | 1.84428i | −0.526931 | − | 0.849908i | \(-0.676657\pi\) |
0.105987 | − | 0.994368i | \(-0.466200\pi\) | |||||||
\(998\) | −12.6806 | + | 15.9009i | −0.401396 | + | 0.503335i | ||||
\(999\) | 2.75593 | − | 12.0745i | 0.0871937 | − | 0.382021i |
(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 | 430.2.k.a.21.1 | ✓ | 12 | |
43.41 | even | 7 | inner | 430.2.k.a.41.1 | yes | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
430.2.k.a.21.1 | ✓ | 12 | 1.1 | even | 1 | trivial | |
430.2.k.a.41.1 | yes | 12 | 43.41 | even | 7 | inner |