Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [114,2,Mod(29,114)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(114, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 17]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("114.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 114 = 2 \cdot 3 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 114.l (of order \(18\), 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: | \(0.910294583043\) |
Analytic rank: | \(0\) |
Dimension: | \(18\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{18})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{18} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{18} - x^{15} - 18 x^{14} + 36 x^{13} + 10 x^{12} + 18 x^{11} + 90 x^{10} - 567 x^{9} + 270 x^{8} + \cdots + 19683 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 59.3 | ||
Root | \(0.0786547 - 1.73026i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 114.59 |
Dual form | 114.2.l.a.29.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/114\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(97\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.173648 | + | 0.984808i | −0.122788 | + | 0.696364i | ||||
\(3\) | 1.53778 | − | 0.797015i | 0.887838 | − | 0.460157i | ||||
\(4\) | −0.939693 | − | 0.342020i | −0.469846 | − | 0.171010i | ||||
\(5\) | 0.258510 | + | 0.710252i | 0.115609 | + | 0.317634i | 0.983979 | − | 0.178283i | \(-0.0570542\pi\) |
−0.868370 | + | 0.495917i | \(0.834832\pi\) | |||||||
\(6\) | 0.517874 | + | 1.65282i | 0.211421 | + | 0.674760i | ||||
\(7\) | 0.777943 | + | 1.34744i | 0.294035 | + | 0.509283i | 0.974760 | − | 0.223256i | \(-0.0716685\pi\) |
−0.680725 | + | 0.732539i | \(0.738335\pi\) | |||||||
\(8\) | 0.500000 | − | 0.866025i | 0.176777 | − | 0.306186i | ||||
\(9\) | 1.72953 | − | 2.45127i | 0.576511 | − | 0.817089i | ||||
\(10\) | −0.744351 | + | 0.131249i | −0.235384 | + | 0.0415046i | ||||
\(11\) | −0.832399 | − | 0.480586i | −0.250978 | − | 0.144902i | 0.369234 | − | 0.929336i | \(-0.379620\pi\) |
−0.620212 | + | 0.784434i | \(0.712953\pi\) | |||||||
\(12\) | −1.71764 | + | 0.222997i | −0.495839 | + | 0.0643738i | ||||
\(13\) | 0.416982 | + | 0.496940i | 0.115650 | + | 0.137826i | 0.820763 | − | 0.571268i | \(-0.193548\pi\) |
−0.705113 | + | 0.709095i | \(0.749104\pi\) | |||||||
\(14\) | −1.46205 | + | 0.532144i | −0.390751 | + | 0.142222i | ||||
\(15\) | 0.963613 | + | 0.886174i | 0.248804 | + | 0.228809i | ||||
\(16\) | 0.766044 | + | 0.642788i | 0.191511 | + | 0.160697i | ||||
\(17\) | −6.73013 | − | 1.18670i | −1.63230 | − | 0.287818i | −0.718968 | − | 0.695043i | \(-0.755385\pi\) |
−0.913328 | + | 0.407226i | \(0.866496\pi\) | |||||||
\(18\) | 2.11370 | + | 2.12892i | 0.498203 | + | 0.501790i | ||||
\(19\) | −4.14364 | + | 1.35288i | −0.950615 | + | 0.310371i | ||||
\(20\) | − | 0.755834i | − | 0.169010i | ||||||
\(21\) | 2.27023 | + | 1.45203i | 0.495405 | + | 0.316859i | ||||
\(22\) | 0.617829 | − | 0.736300i | 0.131722 | − | 0.156980i | ||||
\(23\) | −0.400647 | + | 1.10077i | −0.0835407 | + | 0.229526i | −0.974429 | − | 0.224697i | \(-0.927861\pi\) |
0.890888 | + | 0.454223i | \(0.150083\pi\) | |||||||
\(24\) | 0.0786547 | − | 1.73026i | 0.0160553 | − | 0.353189i | ||||
\(25\) | 3.39259 | − | 2.84672i | 0.678519 | − | 0.569345i | ||||
\(26\) | −0.561798 | + | 0.324354i | −0.110178 | + | 0.0636111i | ||||
\(27\) | 0.705946 | − | 5.14797i | 0.135859 | − | 0.990728i | ||||
\(28\) | −0.270177 | − | 1.53225i | −0.0510586 | − | 0.289568i | ||||
\(29\) | −1.39666 | − | 7.92086i | −0.259354 | − | 1.47087i | −0.784645 | − | 0.619945i | \(-0.787155\pi\) |
0.525292 | − | 0.850922i | \(-0.323956\pi\) | |||||||
\(30\) | −1.04004 | + | 0.795091i | −0.189885 | + | 0.145163i | ||||
\(31\) | −2.63927 | + | 1.52379i | −0.474028 | + | 0.273680i | −0.717924 | − | 0.696121i | \(-0.754908\pi\) |
0.243897 | + | 0.969801i | \(0.421574\pi\) | |||||||
\(32\) | −0.766044 | + | 0.642788i | −0.135419 | + | 0.113630i | ||||
\(33\) | −1.66308 | − | 0.0756007i | −0.289505 | − | 0.0131604i | ||||
\(34\) | 2.33735 | − | 6.42181i | 0.400852 | − | 1.10133i | ||||
\(35\) | −0.755913 | + | 0.900862i | −0.127773 | + | 0.152273i | ||||
\(36\) | −2.46361 | + | 1.71190i | −0.410602 | + | 0.285317i | ||||
\(37\) | 4.12648i | 0.678389i | 0.940716 | + | 0.339195i | \(0.110154\pi\) | ||||
−0.940716 | + | 0.339195i | \(0.889846\pi\) | |||||||
\(38\) | −0.612788 | − | 4.31561i | −0.0994073 | − | 0.700084i | ||||
\(39\) | 1.03729 | + | 0.431843i | 0.166100 | + | 0.0691502i | ||||
\(40\) | 0.744351 | + | 0.131249i | 0.117692 | + | 0.0207523i | ||||
\(41\) | 4.09755 | + | 3.43825i | 0.639929 | + | 0.536964i | 0.903996 | − | 0.427540i | \(-0.140620\pi\) |
−0.264067 | + | 0.964504i | \(0.585064\pi\) | |||||||
\(42\) | −1.82419 | + | 1.98360i | −0.281479 | + | 0.306076i | ||||
\(43\) | −7.34330 | + | 2.67274i | −1.11984 | + | 0.407589i | −0.834595 | − | 0.550865i | \(-0.814298\pi\) |
−0.285248 | + | 0.958454i | \(0.592076\pi\) | |||||||
\(44\) | 0.617829 | + | 0.736300i | 0.0931412 | + | 0.111001i | ||||
\(45\) | 2.18812 | + | 0.594726i | 0.326186 | + | 0.0886566i | ||||
\(46\) | −1.01447 | − | 0.585707i | −0.149576 | − | 0.0863578i | ||||
\(47\) | 3.11004 | − | 0.548383i | 0.453646 | − | 0.0799899i | 0.0578432 | − | 0.998326i | \(-0.481578\pi\) |
0.395802 | + | 0.918336i | \(0.370467\pi\) | |||||||
\(48\) | 1.69032 | + | 0.377917i | 0.243977 | + | 0.0545476i | ||||
\(49\) | 2.28961 | − | 3.96572i | 0.327087 | − | 0.566531i | ||||
\(50\) | 2.21436 | + | 3.83538i | 0.313157 | + | 0.542405i | ||||
\(51\) | −11.2953 | + | 3.53912i | −1.58165 | + | 0.495576i | ||||
\(52\) | −0.221871 | − | 0.609587i | −0.0307680 | − | 0.0845345i | ||||
\(53\) | 13.6276 | + | 4.96002i | 1.87189 | + | 0.681312i | 0.966462 | + | 0.256809i | \(0.0826711\pi\) |
0.905427 | + | 0.424503i | \(0.139551\pi\) | |||||||
\(54\) | 4.94718 | + | 1.58916i | 0.673226 | + | 0.216257i | ||||
\(55\) | 0.126153 | − | 0.715449i | 0.0170105 | − | 0.0964711i | ||||
\(56\) | 1.55589 | 0.207914 | ||||||||
\(57\) | −5.29374 | + | 5.38297i | −0.701173 | + | 0.712991i | ||||
\(58\) | 8.04306 | 1.05610 | ||||||||
\(59\) | −2.02192 | + | 11.4669i | −0.263231 | + | 1.49286i | 0.510793 | + | 0.859704i | \(0.329352\pi\) |
−0.774024 | + | 0.633156i | \(0.781759\pi\) | |||||||
\(60\) | −0.602411 | − | 1.16231i | −0.0777709 | − | 0.150053i | ||||
\(61\) | 10.1813 | + | 3.70568i | 1.30358 | + | 0.474464i | 0.898161 | − | 0.439667i | \(-0.144903\pi\) |
0.405419 | + | 0.914131i | \(0.367126\pi\) | |||||||
\(62\) | −1.04233 | − | 2.86378i | −0.132376 | − | 0.363700i | ||||
\(63\) | 4.64841 | + | 0.423492i | 0.585644 | + | 0.0533549i | ||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | −0.245158 | + | 0.424626i | −0.0304081 | + | 0.0526684i | ||||
\(66\) | 0.363243 | − | 1.62469i | 0.0447121 | − | 0.199985i | ||||
\(67\) | −9.19012 | + | 1.62047i | −1.12275 | + | 0.197972i | −0.704049 | − | 0.710151i | \(-0.748626\pi\) |
−0.418703 | + | 0.908123i | \(0.637515\pi\) | |||||||
\(68\) | 5.91837 | + | 3.41697i | 0.717708 | + | 0.414369i | ||||
\(69\) | 0.261222 | + | 2.01206i | 0.0314475 | + | 0.242224i | ||||
\(70\) | −0.755913 | − | 0.900862i | −0.0903489 | − | 0.107674i | ||||
\(71\) | −0.0322101 | + | 0.0117235i | −0.00382263 | + | 0.00139132i | −0.343931 | − | 0.938995i | \(-0.611759\pi\) |
0.340108 | + | 0.940386i | \(0.389536\pi\) | |||||||
\(72\) | −1.25809 | − | 2.72345i | −0.148268 | − | 0.320962i | ||||
\(73\) | −3.04446 | − | 2.55461i | −0.356327 | − | 0.298994i | 0.446998 | − | 0.894535i | \(-0.352493\pi\) |
−0.803325 | + | 0.595541i | \(0.796938\pi\) | |||||||
\(74\) | −4.06379 | − | 0.716556i | −0.472406 | − | 0.0832979i | ||||
\(75\) | 2.94818 | − | 7.08158i | 0.340426 | − | 0.817711i | ||||
\(76\) | 4.35646 | + | 0.145920i | 0.499720 | + | 0.0167381i | ||||
\(77\) | − | 1.49547i | − | 0.170425i | ||||||
\(78\) | −0.605407 | + | 0.946547i | −0.0685488 | + | 0.107175i | ||||
\(79\) | −0.893115 | + | 1.06437i | −0.100483 | + | 0.119751i | −0.813943 | − | 0.580945i | \(-0.802683\pi\) |
0.713459 | + | 0.700697i | \(0.247127\pi\) | |||||||
\(80\) | −0.258510 | + | 0.710252i | −0.0289023 | + | 0.0794085i | ||||
\(81\) | −3.01742 | − | 8.47910i | −0.335269 | − | 0.942122i | ||||
\(82\) | −4.09755 | + | 3.43825i | −0.452498 | + | 0.379691i | ||||
\(83\) | 10.4856 | − | 6.05389i | 1.15095 | − | 0.664500i | 0.201830 | − | 0.979421i | \(-0.435311\pi\) |
0.949118 | + | 0.314920i | \(0.101978\pi\) | |||||||
\(84\) | −1.63670 | − | 2.14093i | −0.178578 | − | 0.233594i | ||||
\(85\) | −0.896950 | − | 5.08686i | −0.0972879 | − | 0.551747i | ||||
\(86\) | −1.35699 | − | 7.69585i | −0.146328 | − | 0.829865i | ||||
\(87\) | −8.46081 | − | 11.0674i | −0.907094 | − | 1.18655i | ||||
\(88\) | −0.832399 | + | 0.480586i | −0.0887340 | + | 0.0512306i | ||||
\(89\) | −4.68075 | + | 3.92762i | −0.496159 | + | 0.416327i | −0.856227 | − | 0.516599i | \(-0.827198\pi\) |
0.360069 | + | 0.932926i | \(0.382753\pi\) | |||||||
\(90\) | −0.965654 | + | 2.05160i | −0.101789 | + | 0.216258i | ||||
\(91\) | −0.345207 | + | 0.948448i | −0.0361875 | + | 0.0994243i | ||||
\(92\) | 0.752970 | − | 0.897355i | 0.0785026 | − | 0.0935557i | ||||
\(93\) | −2.84414 | + | 4.44679i | −0.294924 | + | 0.461110i | ||||
\(94\) | 3.15801i | 0.325724i | ||||||||
\(95\) | −2.03206 | − | 2.59329i | −0.208485 | − | 0.266066i | ||||
\(96\) | −0.665696 | + | 1.59901i | −0.0679424 | + | 0.163199i | ||||
\(97\) | 9.54804 | + | 1.68358i | 0.969457 | + | 0.170941i | 0.635885 | − | 0.771784i | \(-0.280635\pi\) |
0.333571 | + | 0.942725i | \(0.391746\pi\) | |||||||
\(98\) | 3.50789 | + | 2.94347i | 0.354350 | + | 0.297335i | ||||
\(99\) | −2.61771 | + | 1.20924i | −0.263089 | + | 0.121533i | ||||
\(100\) | −4.16163 | + | 1.51471i | −0.416163 | + | 0.151471i | ||||
\(101\) | −12.0945 | − | 14.4137i | −1.20345 | − | 1.43422i | −0.871130 | − | 0.491053i | \(-0.836612\pi\) |
−0.332323 | − | 0.943166i | \(-0.607832\pi\) | |||||||
\(102\) | −1.52395 | − | 11.7382i | −0.150894 | − | 1.16226i | ||||
\(103\) | 9.92876 | + | 5.73237i | 0.978310 | + | 0.564828i | 0.901759 | − | 0.432238i | \(-0.142276\pi\) |
0.0765505 | + | 0.997066i | \(0.475609\pi\) | |||||||
\(104\) | 0.638853 | − | 0.112647i | 0.0626447 | − | 0.0110460i | ||||
\(105\) | −0.444427 | + | 1.98780i | −0.0433716 | + | 0.193990i | ||||
\(106\) | −7.25107 | + | 12.5592i | −0.704286 | + | 1.21986i | ||||
\(107\) | 1.17826 | + | 2.04080i | 0.113906 | + | 0.197292i | 0.917342 | − | 0.398100i | \(-0.130330\pi\) |
−0.803436 | + | 0.595392i | \(0.796997\pi\) | |||||||
\(108\) | −2.42408 | + | 4.59607i | −0.233258 | + | 0.442257i | ||||
\(109\) | −2.21678 | − | 6.09056i | −0.212329 | − | 0.583370i | 0.787111 | − | 0.616811i | \(-0.211576\pi\) |
−0.999441 | + | 0.0334410i | \(0.989353\pi\) | |||||||
\(110\) | 0.682673 | + | 0.248473i | 0.0650904 | + | 0.0236910i | ||||
\(111\) | 3.28887 | + | 6.34562i | 0.312165 | + | 0.602299i | ||||
\(112\) | −0.270177 | + | 1.53225i | −0.0255293 | + | 0.144784i | ||||
\(113\) | 10.0387 | 0.944358 | 0.472179 | − | 0.881503i | \(-0.343468\pi\) | ||||
0.472179 | + | 0.881503i | \(0.343468\pi\) | |||||||
\(114\) | −4.38194 | − | 6.14806i | −0.410406 | − | 0.575818i | ||||
\(115\) | −0.885394 | −0.0825635 | ||||||||
\(116\) | −1.39666 | + | 7.92086i | −0.129677 | + | 0.735434i | ||||
\(117\) | 1.93932 | − | 0.162660i | 0.179290 | − | 0.0150379i | ||||
\(118\) | −10.9416 | − | 3.98240i | −1.00725 | − | 0.366610i | ||||
\(119\) | −3.63665 | − | 9.99161i | −0.333371 | − | 0.915929i | ||||
\(120\) | 1.24926 | − | 0.391427i | 0.114041 | − | 0.0357322i | ||||
\(121\) | −5.03807 | − | 8.72620i | −0.458007 | − | 0.793291i | ||||
\(122\) | −5.41735 | + | 9.38312i | −0.490464 | + | 0.849508i | ||||
\(123\) | 9.04146 | + | 2.02147i | 0.815241 | + | 0.182269i | ||||
\(124\) | 3.00127 | − | 0.529205i | 0.269522 | − | 0.0475240i | ||||
\(125\) | 6.17177 | + | 3.56327i | 0.552020 | + | 0.318709i | ||||
\(126\) | −1.22425 | + | 4.50425i | −0.109064 | + | 0.401270i | ||||
\(127\) | 8.95146 | + | 10.6679i | 0.794313 | + | 0.946626i | 0.999485 | − | 0.0321003i | \(-0.0102196\pi\) |
−0.205171 | + | 0.978726i | \(0.565775\pi\) | |||||||
\(128\) | 0.939693 | − | 0.342020i | 0.0830579 | − | 0.0302306i | ||||
\(129\) | −9.16216 | + | 9.96280i | −0.806683 | + | 0.877176i | ||||
\(130\) | −0.375604 | − | 0.315169i | −0.0329426 | − | 0.0276422i | ||||
\(131\) | −10.9610 | − | 1.93273i | −0.957671 | − | 0.168863i | −0.327096 | − | 0.944991i | \(-0.606070\pi\) |
−0.630575 | + | 0.776128i | \(0.717181\pi\) | |||||||
\(132\) | 1.53693 | + | 0.639848i | 0.133772 | + | 0.0556916i | ||||
\(133\) | −5.04643 | − | 4.53083i | −0.437581 | − | 0.392873i | ||||
\(134\) | − | 9.33190i | − | 0.806153i | ||||||
\(135\) | 3.83885 | − | 0.829406i | 0.330396 | − | 0.0713839i | ||||
\(136\) | −4.39278 | + | 5.23511i | −0.376678 | + | 0.448907i | ||||
\(137\) | 1.69757 | − | 4.66403i | 0.145033 | − | 0.398475i | −0.845812 | − | 0.533482i | \(-0.820883\pi\) |
0.990845 | + | 0.135007i | \(0.0431056\pi\) | |||||||
\(138\) | −2.02686 | − | 0.0921372i | −0.172537 | − | 0.00784324i | ||||
\(139\) | −2.76202 | + | 2.31761i | −0.234272 | + | 0.196577i | −0.752364 | − | 0.658747i | \(-0.771087\pi\) |
0.518093 | + | 0.855325i | \(0.326642\pi\) | |||||||
\(140\) | 1.01844 | − | 0.587996i | 0.0860738 | − | 0.0496947i | ||||
\(141\) | 4.34548 | − | 3.32204i | 0.365956 | − | 0.279766i | ||||
\(142\) | −0.00595218 | − | 0.0337565i | −0.000499496 | − | 0.00283278i | ||||
\(143\) | −0.108273 | − | 0.614047i | −0.00905425 | − | 0.0513492i | ||||
\(144\) | 2.90054 | − | 0.766057i | 0.241712 | − | 0.0638380i | ||||
\(145\) | 5.26475 | − | 3.03961i | 0.437214 | − | 0.252426i | ||||
\(146\) | 3.04446 | − | 2.55461i | 0.251961 | − | 0.211421i | ||||
\(147\) | 0.360177 | − | 7.92326i | 0.0297069 | − | 0.653499i | ||||
\(148\) | 1.41134 | − | 3.87762i | 0.116011 | − | 0.318739i | ||||
\(149\) | −12.3170 | + | 14.6788i | −1.00904 | + | 1.20253i | −0.0298610 | + | 0.999554i | \(0.509506\pi\) |
−0.979183 | + | 0.202978i | \(0.934938\pi\) | |||||||
\(150\) | 6.46205 | + | 4.13309i | 0.527624 | + | 0.337466i | ||||
\(151\) | − | 19.2624i | − | 1.56755i | −0.621042 | − | 0.783777i | \(-0.713290\pi\) | ||
0.621042 | − | 0.783777i | \(-0.286710\pi\) | |||||||
\(152\) | −0.900193 | + | 4.26493i | −0.0730153 | + | 0.345932i | ||||
\(153\) | −14.5489 | + | 14.4449i | −1.17621 | + | 1.16780i | ||||
\(154\) | 1.47275 | + | 0.259686i | 0.118678 | + | 0.0209261i | ||||
\(155\) | −1.76455 | − | 1.48063i | −0.141732 | − | 0.118927i | ||||
\(156\) | −0.827039 | − | 0.760575i | −0.0662161 | − | 0.0608948i | ||||
\(157\) | −0.200940 | + | 0.0731363i | −0.0160368 | + | 0.00583691i | −0.350026 | − | 0.936740i | \(-0.613827\pi\) |
0.333989 | + | 0.942577i | \(0.391605\pi\) | |||||||
\(158\) | −0.893115 | − | 1.06437i | −0.0710524 | − | 0.0846770i | ||||
\(159\) | 24.9094 | − | 3.23394i | 1.97544 | − | 0.256468i | ||||
\(160\) | −0.654571 | − | 0.377917i | −0.0517484 | − | 0.0298770i | ||||
\(161\) | −1.79490 | + | 0.316489i | −0.141458 | + | 0.0249428i | ||||
\(162\) | 8.87425 | − | 1.49920i | 0.697227 | − | 0.117788i | ||||
\(163\) | 7.51668 | − | 13.0193i | 0.588752 | − | 1.01975i | −0.405645 | − | 0.914031i | \(-0.632953\pi\) |
0.994396 | − | 0.105717i | \(-0.0337138\pi\) | |||||||
\(164\) | −2.67448 | − | 4.63234i | −0.208842 | − | 0.361725i | ||||
\(165\) | −0.376228 | − | 1.20075i | −0.0292893 | − | 0.0934782i | ||||
\(166\) | 4.14110 | + | 11.3776i | 0.321412 | + | 0.883072i | ||||
\(167\) | 8.87982 | + | 3.23199i | 0.687141 | + | 0.250099i | 0.661911 | − | 0.749583i | \(-0.269746\pi\) |
0.0252305 | + | 0.999682i | \(0.491968\pi\) | |||||||
\(168\) | 2.39261 | − | 1.24006i | 0.184594 | − | 0.0956731i | ||||
\(169\) | 2.18435 | − | 12.3881i | 0.168027 | − | 0.952929i | ||||
\(170\) | 5.16533 | 0.396163 | ||||||||
\(171\) | −3.85030 | + | 12.4970i | −0.294440 | + | 0.955670i | ||||
\(172\) | 7.81457 | 0.595856 | ||||||||
\(173\) | −2.33529 | + | 13.2441i | −0.177549 | + | 1.00693i | 0.757612 | + | 0.652705i | \(0.226366\pi\) |
−0.935161 | + | 0.354224i | \(0.884745\pi\) | |||||||
\(174\) | 12.3684 | − | 6.41044i | 0.937650 | − | 0.485974i | ||||
\(175\) | 6.47502 | + | 2.35672i | 0.489466 | + | 0.178151i | ||||
\(176\) | −0.328740 | − | 0.903205i | −0.0247797 | − | 0.0680817i | ||||
\(177\) | 6.03000 | + | 19.2450i | 0.453243 | + | 1.44655i | ||||
\(178\) | −3.05514 | − | 5.29167i | −0.228993 | − | 0.396627i | ||||
\(179\) | −8.34644 | + | 14.4565i | −0.623842 | + | 1.08053i | 0.364921 | + | 0.931038i | \(0.381096\pi\) |
−0.988764 | + | 0.149488i | \(0.952237\pi\) | |||||||
\(180\) | −1.85275 | − | 1.30724i | −0.138096 | − | 0.0974360i | ||||
\(181\) | −10.0398 | + | 1.77029i | −0.746251 | + | 0.131584i | −0.533828 | − | 0.845593i | \(-0.679247\pi\) |
−0.212424 | + | 0.977178i | \(0.568136\pi\) | |||||||
\(182\) | −0.874094 | − | 0.504658i | −0.0647922 | − | 0.0374078i | ||||
\(183\) | 18.6101 | − | 2.41611i | 1.37570 | − | 0.178604i | ||||
\(184\) | 0.752970 | + | 0.897355i | 0.0555097 | + | 0.0661539i | ||||
\(185\) | −2.93084 | + | 1.06674i | −0.215480 | + | 0.0784281i | ||||
\(186\) | −3.88535 | − | 3.57311i | −0.284888 | − | 0.261993i | ||||
\(187\) | 5.03184 | + | 4.22221i | 0.367964 | + | 0.308759i | ||||
\(188\) | −3.11004 | − | 0.548383i | −0.226823 | − | 0.0399950i | ||||
\(189\) | 7.48576 | − | 3.05361i | 0.544509 | − | 0.222118i | ||||
\(190\) | 2.90676 | − | 1.55086i | 0.210878 | − | 0.112511i | ||||
\(191\) | − | 12.0667i | − | 0.873115i | −0.899676 | − | 0.436558i | \(-0.856198\pi\) | ||
0.899676 | − | 0.436558i | \(-0.143802\pi\) | |||||||
\(192\) | −1.45913 | − | 0.933249i | −0.105303 | − | 0.0673514i | ||||
\(193\) | −2.14990 | + | 2.56215i | −0.154753 | + | 0.184427i | −0.837850 | − | 0.545900i | \(-0.816188\pi\) |
0.683098 | + | 0.730327i | \(0.260632\pi\) | |||||||
\(194\) | −3.31600 | + | 9.11063i | −0.238075 | + | 0.654105i | ||||
\(195\) | −0.0385657 | + | 0.848376i | −0.00276175 | + | 0.0607535i | ||||
\(196\) | −3.50789 | + | 2.94347i | −0.250563 | + | 0.210248i | ||||
\(197\) | −5.15098 | + | 2.97392i | −0.366992 | + | 0.211883i | −0.672144 | − | 0.740421i | \(-0.734626\pi\) |
0.305151 | + | 0.952304i | \(0.401293\pi\) | |||||||
\(198\) | −0.736311 | − | 2.78792i | −0.0523274 | − | 0.198129i | ||||
\(199\) | 1.94088 | + | 11.0073i | 0.137585 | + | 0.780286i | 0.973024 | + | 0.230703i | \(0.0741024\pi\) |
−0.835439 | + | 0.549583i | \(0.814786\pi\) | |||||||
\(200\) | −0.769038 | − | 4.36143i | −0.0543792 | − | 0.308400i | ||||
\(201\) | −12.8409 | + | 9.81659i | −0.905724 | + | 0.692409i | ||||
\(202\) | 16.2949 | − | 9.40789i | 1.14651 | − | 0.661937i | ||||
\(203\) | 9.58634 | − | 8.04389i | 0.672829 | − | 0.564571i | ||||
\(204\) | 11.8245 | + | 0.537522i | 0.827883 | + | 0.0376341i | ||||
\(205\) | −1.38276 | + | 3.79911i | −0.0965764 | + | 0.265342i | ||||
\(206\) | −7.36940 | + | 8.78251i | −0.513450 | + | 0.611906i | ||||
\(207\) | 2.00535 | + | 2.88591i | 0.139381 | + | 0.200585i | ||||
\(208\) | 0.648709i | 0.0449799i | ||||||||
\(209\) | 4.09933 | + | 0.865240i | 0.283557 | + | 0.0598499i | ||||
\(210\) | −1.88043 | − | 0.782853i | −0.129762 | − | 0.0540220i | ||||
\(211\) | −20.9377 | − | 3.69188i | −1.44141 | − | 0.254159i | −0.602364 | − | 0.798222i | \(-0.705774\pi\) |
−0.839045 | + | 0.544063i | \(0.816885\pi\) | |||||||
\(212\) | −11.1093 | − | 9.32180i | −0.762989 | − | 0.640224i | ||||
\(213\) | −0.0401882 | + | 0.0437001i | −0.00275365 | + | 0.00299428i | ||||
\(214\) | −2.21440 | + | 0.805976i | −0.151373 | + | 0.0550954i | ||||
\(215\) | −3.79664 | − | 4.52466i | −0.258928 | − | 0.308579i | ||||
\(216\) | −4.10530 | − | 3.18535i | −0.279331 | − | 0.216736i | ||||
\(217\) | −4.10641 | − | 2.37084i | −0.278761 | − | 0.160943i | ||||
\(218\) | 6.38297 | − | 1.12549i | 0.432309 | − | 0.0762278i | ||||
\(219\) | −6.71777 | − | 1.50194i | −0.453945 | − | 0.101492i | ||||
\(220\) | −0.363243 | + | 0.629155i | −0.0244898 | + | 0.0424176i | ||||
\(221\) | −2.21662 | − | 3.83930i | −0.149106 | − | 0.258259i | ||||
\(222\) | −6.82032 | + | 2.13700i | −0.457750 | + | 0.143426i | ||||
\(223\) | 4.71184 | + | 12.9457i | 0.315528 | + | 0.866907i | 0.991515 | + | 0.129993i | \(0.0414955\pi\) |
−0.675987 | + | 0.736914i | \(0.736282\pi\) | |||||||
\(224\) | −1.46205 | − | 0.532144i | −0.0976876 | − | 0.0355554i | ||||
\(225\) | −1.11047 | − | 13.2397i | −0.0740316 | − | 0.882644i | ||||
\(226\) | −1.74320 | + | 9.88615i | −0.115956 | + | 0.657617i | ||||
\(227\) | −16.1886 | −1.07448 | −0.537238 | − | 0.843430i | \(-0.680532\pi\) | ||||
−0.537238 | + | 0.843430i | \(0.680532\pi\) | |||||||
\(228\) | 6.81557 | − | 3.24777i | 0.451372 | − | 0.215089i | ||||
\(229\) | −25.6462 | −1.69475 | −0.847374 | − | 0.530997i | \(-0.821817\pi\) | ||||
−0.847374 | + | 0.530997i | \(0.821817\pi\) | |||||||
\(230\) | 0.153747 | − | 0.871943i | 0.0101378 | − | 0.0574942i | ||||
\(231\) | −1.19191 | − | 2.29971i | −0.0784222 | − | 0.151310i | ||||
\(232\) | −7.55800 | − | 2.75089i | −0.496207 | − | 0.180605i | ||||
\(233\) | −3.98107 | − | 10.9379i | −0.260808 | − | 0.716565i | −0.999113 | − | 0.0420981i | \(-0.986596\pi\) |
0.738305 | − | 0.674467i | \(-0.235626\pi\) | |||||||
\(234\) | −0.176570 | + | 1.93810i | −0.0115427 | + | 0.126698i | ||||
\(235\) | 1.19347 | + | 2.06715i | 0.0778532 | + | 0.134846i | ||||
\(236\) | 5.82188 | − | 10.0838i | 0.378972 | − | 0.656399i | ||||
\(237\) | −0.525093 | + | 2.34860i | −0.0341085 | + | 0.152558i | ||||
\(238\) | 10.4713 | − | 1.84637i | 0.678754 | − | 0.119683i | ||||
\(239\) | 13.1831 | + | 7.61128i | 0.852746 | + | 0.492333i | 0.861576 | − | 0.507628i | \(-0.169478\pi\) |
−0.00883069 | + | 0.999961i | \(0.502811\pi\) | |||||||
\(240\) | 0.168549 | + | 1.29825i | 0.0108798 | + | 0.0838015i | ||||
\(241\) | 9.76016 | + | 11.6317i | 0.628707 | + | 0.749264i | 0.982541 | − | 0.186044i | \(-0.0595666\pi\) |
−0.353834 | + | 0.935308i | \(0.615122\pi\) | |||||||
\(242\) | 9.46848 | − | 3.44625i | 0.608657 | − | 0.221533i | ||||
\(243\) | −11.3981 | − | 10.6341i | −0.731189 | − | 0.682175i | ||||
\(244\) | −8.29986 | − | 6.96441i | −0.531344 | − | 0.445851i | ||||
\(245\) | 3.40855 | + | 0.601019i | 0.217764 | + | 0.0383977i | ||||
\(246\) | −3.56079 | + | 8.55308i | −0.227028 | + | 0.545324i | ||||
\(247\) | −2.40012 | − | 1.49501i | −0.152716 | − | 0.0951254i | ||||
\(248\) | 3.04757i | 0.193521i | ||||||||
\(249\) | 11.2996 | − | 17.6668i | 0.716081 | − | 1.11958i | ||||
\(250\) | −4.58085 | + | 5.45925i | −0.289719 | + | 0.345273i | ||||
\(251\) | 3.71032 | − | 10.1940i | 0.234193 | − | 0.643441i | −0.765807 | − | 0.643071i | \(-0.777660\pi\) |
1.00000 | 0.000369965i | \(-0.000117763\pi\) | ||||||||
\(252\) | −4.22323 | − | 1.98780i | −0.266039 | − | 0.125220i | ||||
\(253\) | 0.862512 | − | 0.723733i | 0.0542257 | − | 0.0455007i | ||||
\(254\) | −12.0603 | + | 6.96300i | −0.756728 | + | 0.436897i | ||||
\(255\) | −5.43361 | − | 7.10759i | −0.340266 | − | 0.445094i | ||||
\(256\) | 0.173648 | + | 0.984808i | 0.0108530 | + | 0.0615505i | ||||
\(257\) | 0.00786014 | + | 0.0445771i | 0.000490302 | + | 0.00278064i | 0.985052 | − | 0.172258i | \(-0.0551062\pi\) |
−0.984562 | + | 0.175038i | \(0.943995\pi\) | |||||||
\(258\) | −8.22045 | − | 10.7530i | −0.511783 | − | 0.669452i | ||||
\(259\) | −5.56017 | + | 3.21017i | −0.345492 | + | 0.199470i | ||||
\(260\) | 0.375604 | − | 0.315169i | 0.0232940 | − | 0.0195460i | ||||
\(261\) | −21.8317 | − | 10.2758i | −1.35135 | − | 0.636057i | ||||
\(262\) | 3.80673 | − | 10.4589i | 0.235181 | − | 0.646153i | ||||
\(263\) | 3.52577 | − | 4.20185i | 0.217408 | − | 0.259097i | −0.646307 | − | 0.763078i | \(-0.723687\pi\) |
0.863715 | + | 0.503981i | \(0.168132\pi\) | |||||||
\(264\) | −0.897012 | + | 1.40247i | −0.0552073 | + | 0.0863160i | ||||
\(265\) | 10.9612i | 0.673342i | ||||||||
\(266\) | 5.33830 | − | 4.18299i | 0.327312 | − | 0.256476i | ||||
\(267\) | −4.06760 | + | 9.77044i | −0.248933 | + | 0.597941i | ||||
\(268\) | 9.19012 | + | 1.62047i | 0.561376 | + | 0.0989858i | ||||
\(269\) | −1.50432 | − | 1.26228i | −0.0917202 | − | 0.0769623i | 0.595775 | − | 0.803152i | \(-0.296845\pi\) |
−0.687495 | + | 0.726189i | \(0.741290\pi\) | |||||||
\(270\) | 0.150196 | + | 3.92456i | 0.00914061 | + | 0.238841i | ||||
\(271\) | 19.8494 | − | 7.22458i | 1.20576 | − | 0.438862i | 0.340531 | − | 0.940233i | \(-0.389393\pi\) |
0.865232 | + | 0.501371i | \(0.167171\pi\) | |||||||
\(272\) | −4.39278 | − | 5.23511i | −0.266351 | − | 0.317425i | ||||
\(273\) | 0.225075 | + | 1.73364i | 0.0136222 | + | 0.104925i | ||||
\(274\) | 4.29839 | + | 2.48168i | 0.259675 | + | 0.149924i | ||||
\(275\) | −4.19208 | + | 0.739177i | −0.252792 | + | 0.0445741i | ||||
\(276\) | 0.442697 | − | 1.98006i | 0.0266472 | − | 0.119186i | ||||
\(277\) | −3.91899 | + | 6.78789i | −0.235469 | + | 0.407845i | −0.959409 | − | 0.282018i | \(-0.908996\pi\) |
0.723940 | + | 0.689863i | \(0.242329\pi\) | |||||||
\(278\) | −1.80278 | − | 3.12251i | −0.108124 | − | 0.187276i | ||||
\(279\) | −0.829509 | + | 9.10501i | −0.0496614 | + | 0.545102i | ||||
\(280\) | 0.402213 | + | 1.10507i | 0.0240368 | + | 0.0660406i | ||||
\(281\) | 11.0064 | + | 4.00600i | 0.656587 | + | 0.238978i | 0.648762 | − | 0.760991i | \(-0.275287\pi\) |
0.00782495 | + | 0.999969i | \(0.497509\pi\) | |||||||
\(282\) | 2.51698 | + | 4.85633i | 0.149884 | + | 0.289190i | ||||
\(283\) | 1.21905 | − | 6.91356i | 0.0724648 | − | 0.410968i | −0.926899 | − | 0.375310i | \(-0.877536\pi\) |
0.999364 | − | 0.0356581i | \(-0.0113527\pi\) | |||||||
\(284\) | 0.0342772 | 0.00203398 | ||||||||
\(285\) | −5.19175 | − | 2.36833i | −0.307533 | − | 0.140288i | ||||
\(286\) | 0.623520 | 0.0368695 | ||||||||
\(287\) | −1.44517 | + | 8.19595i | −0.0853055 | + | 0.483791i | ||||
\(288\) | 0.250744 | + | 2.98950i | 0.0147752 | + | 0.176158i | ||||
\(289\) | 27.9116 | + | 10.1590i | 1.64186 | + | 0.597587i | ||||
\(290\) | 2.07921 | + | 5.71259i | 0.122096 | + | 0.335455i | ||||
\(291\) | 16.0246 | − | 5.02096i | 0.939380 | − | 0.294334i | ||||
\(292\) | 1.98713 | + | 3.44181i | 0.116288 | + | 0.201417i | ||||
\(293\) | 1.29095 | − | 2.23599i | 0.0754180 | − | 0.130628i | −0.825850 | − | 0.563890i | \(-0.809304\pi\) |
0.901268 | + | 0.433262i | \(0.142638\pi\) | |||||||
\(294\) | 7.74034 | + | 1.73056i | 0.451426 | + | 0.100929i | ||||
\(295\) | −8.66705 | + | 1.52824i | −0.504615 | + | 0.0889773i | ||||
\(296\) | 3.57364 | + | 2.06324i | 0.207713 | + | 0.119923i | ||||
\(297\) | −3.06167 | + | 3.94590i | −0.177656 | + | 0.228964i | ||||
\(298\) | −12.3170 | − | 14.6788i | −0.713502 | − | 0.850319i | ||||
\(299\) | −0.714078 | + | 0.259903i | −0.0412962 | + | 0.0150306i | ||||
\(300\) | −5.19243 | + | 5.64617i | −0.299785 | + | 0.325982i | ||||
\(301\) | −9.31401 | − | 7.81539i | −0.536851 | − | 0.450471i | ||||
\(302\) | 18.9698 | + | 3.34489i | 1.09159 | + | 0.192477i | ||||
\(303\) | −30.0867 | − | 12.5256i | −1.72844 | − | 0.719577i | ||||
\(304\) | −4.04382 | − | 1.62712i | −0.231929 | − | 0.0933215i | ||||
\(305\) | 8.18923i | 0.468914i | ||||||||
\(306\) | −11.6991 | − | 16.8362i | −0.668790 | − | 0.962462i | ||||
\(307\) | −1.26629 | + | 1.50910i | −0.0722709 | + | 0.0861290i | −0.800968 | − | 0.598707i | \(-0.795682\pi\) |
0.728698 | + | 0.684836i | \(0.240126\pi\) | |||||||
\(308\) | −0.511482 | + | 1.40528i | −0.0291444 | + | 0.0800735i | ||||
\(309\) | 19.8370 | + | 0.901757i | 1.12849 | + | 0.0512991i | ||||
\(310\) | 1.76455 | − | 1.48063i | 0.100220 | − | 0.0840944i | ||||
\(311\) | −22.4909 | + | 12.9851i | −1.27534 | + | 0.736320i | −0.975989 | − | 0.217822i | \(-0.930105\pi\) |
−0.299355 | + | 0.954142i | \(0.596771\pi\) | |||||||
\(312\) | 0.892634 | − | 0.682402i | 0.0505355 | − | 0.0386334i | ||||
\(313\) | −2.32842 | − | 13.2051i | −0.131610 | − | 0.746398i | −0.977161 | − | 0.212502i | \(-0.931839\pi\) |
0.845551 | − | 0.533895i | \(-0.179272\pi\) | |||||||
\(314\) | −0.0371323 | − | 0.210588i | −0.00209550 | − | 0.0118841i | ||||
\(315\) | 0.900876 | + | 3.41102i | 0.0507586 | + | 0.192189i | ||||
\(316\) | 1.20329 | − | 0.694720i | 0.0676904 | − | 0.0390811i | ||||
\(317\) | 23.3056 | − | 19.5557i | 1.30897 | − | 1.09836i | 0.320454 | − | 0.947264i | \(-0.396165\pi\) |
0.988519 | − | 0.151095i | \(-0.0482799\pi\) | |||||||
\(318\) | −1.14066 | + | 25.0925i | −0.0639652 | + | 1.40712i | ||||
\(319\) | −2.64407 | + | 7.26453i | −0.148040 | + | 0.406736i | ||||
\(320\) | 0.485841 | − | 0.579002i | 0.0271593 | − | 0.0323672i | ||||
\(321\) | 3.43845 | + | 2.19922i | 0.191916 | + | 0.122748i | ||||
\(322\) | − | 1.82259i | − | 0.101569i | ||||||
\(323\) | 29.4927 | − | 4.18776i | 1.64102 | − | 0.233013i | ||||
\(324\) | −0.0645734 | + | 8.99977i | −0.00358741 | + | 0.499987i | ||||
\(325\) | 2.82930 | + | 0.498882i | 0.156941 | + | 0.0276730i | ||||
\(326\) | 11.5162 | + | 9.66326i | 0.637824 | + | 0.535198i | ||||
\(327\) | −8.26319 | − | 7.59913i | −0.456956 | − | 0.420233i | ||||
\(328\) | 5.02638 | − | 1.82945i | 0.277536 | − | 0.101015i | ||||
\(329\) | 3.15834 | + | 3.76397i | 0.174125 | + | 0.207514i | ||||
\(330\) | 1.24784 | − | 0.162004i | 0.0686912 | − | 0.00891805i | ||||
\(331\) | −9.22014 | − | 5.32325i | −0.506785 | − | 0.292592i | 0.224726 | − | 0.974422i | \(-0.427851\pi\) |
−0.731511 | + | 0.681830i | \(0.761185\pi\) | |||||||
\(332\) | −11.9238 | + | 2.10249i | −0.654405 | + | 0.115389i | ||||
\(333\) | 10.1151 | + | 7.13689i | 0.554304 | + | 0.391099i | ||||
\(334\) | −4.72485 | + | 8.18369i | −0.258533 | + | 0.447791i | ||||
\(335\) | −3.52668 | − | 6.10839i | −0.192683 | − | 0.333737i | ||||
\(336\) | 0.805753 | + | 2.57160i | 0.0439574 | + | 0.140292i | ||||
\(337\) | −2.38138 | − | 6.54278i | −0.129722 | − | 0.356408i | 0.857780 | − | 0.514018i | \(-0.171843\pi\) |
−0.987501 | + | 0.157610i | \(0.949621\pi\) | |||||||
\(338\) | 11.8206 | + | 4.30233i | 0.642954 | + | 0.234016i | ||||
\(339\) | 15.4373 | − | 8.00096i | 0.838436 | − | 0.434553i | ||||
\(340\) | −0.896950 | + | 5.08686i | −0.0486440 | + | 0.275874i | ||||
\(341\) | 2.92924 | 0.158627 | ||||||||
\(342\) | −11.6386 | − | 5.96189i | −0.629341 | − | 0.322382i | ||||
\(343\) | 18.0159 | 0.972770 | ||||||||
\(344\) | −1.35699 | + | 7.69585i | −0.0731638 | + | 0.414932i | ||||
\(345\) | −1.36154 | + | 0.705673i | −0.0733029 | + | 0.0379921i | ||||
\(346\) | −12.6374 | − | 4.59962i | −0.679389 | − | 0.247277i | ||||
\(347\) | 9.63081 | + | 26.4604i | 0.517009 | + | 1.42047i | 0.873799 | + | 0.486287i | \(0.161649\pi\) |
−0.356790 | + | 0.934185i | \(0.616129\pi\) | |||||||
\(348\) | 4.16529 | + | 13.2937i | 0.223283 | + | 0.712617i | ||||
\(349\) | 9.79155 | + | 16.9595i | 0.524130 | + | 0.907819i | 0.999605 | + | 0.0280904i | \(0.00894261\pi\) |
−0.475476 | + | 0.879729i | \(0.657724\pi\) | |||||||
\(350\) | −3.44529 | + | 5.96741i | −0.184158 | + | 0.318972i | ||||
\(351\) | 2.85260 | − | 1.79580i | 0.152261 | − | 0.0958527i | ||||
\(352\) | 0.946569 | − | 0.166906i | 0.0504523 | − | 0.00889610i | ||||
\(353\) | 3.55050 | + | 2.04988i | 0.188974 | + | 0.109104i | 0.591502 | − | 0.806303i | \(-0.298535\pi\) |
−0.402528 | + | 0.915408i | \(0.631868\pi\) | |||||||
\(354\) | −19.9998 | + | 2.59653i | −1.06297 | + | 0.138004i | ||||
\(355\) | −0.0166533 | − | 0.0198466i | −0.000883864 | − | 0.00105335i | ||||
\(356\) | 5.74179 | − | 2.08984i | 0.304314 | − | 0.110761i | ||||
\(357\) | −13.5558 | − | 12.4664i | −0.717450 | − | 0.659793i | ||||
\(358\) | −12.7875 | − | 10.7300i | −0.675840 | − | 0.567097i | ||||
\(359\) | 5.52450 | + | 0.974118i | 0.291572 | + | 0.0514120i | 0.317521 | − | 0.948251i | \(-0.397150\pi\) |
−0.0259490 | + | 0.999663i | \(0.508261\pi\) | |||||||
\(360\) | 1.60911 | − | 1.59760i | 0.0848074 | − | 0.0842011i | ||||
\(361\) | 15.3395 | − | 11.2117i | 0.807340 | − | 0.590087i | ||||
\(362\) | − | 10.1947i | − | 0.535820i | ||||||
\(363\) | −14.7024 | − | 9.40356i | −0.771674 | − | 0.493559i | ||||
\(364\) | 0.648776 | − | 0.773182i | 0.0340051 | − | 0.0405257i | ||||
\(365\) | 1.02739 | − | 2.82273i | 0.0537760 | − | 0.147748i | ||||
\(366\) | −0.852200 | + | 18.7469i | −0.0445452 | + | 0.979915i | ||||
\(367\) | −2.28539 | + | 1.91767i | −0.119296 | + | 0.100101i | −0.700484 | − | 0.713668i | \(-0.747033\pi\) |
0.581188 | + | 0.813769i | \(0.302588\pi\) | |||||||
\(368\) | −1.01447 | + | 0.585707i | −0.0528831 | + | 0.0305321i | ||||
\(369\) | 15.5149 | − | 4.09761i | 0.807674 | − | 0.213313i | ||||
\(370\) | −0.541597 | − | 3.07155i | −0.0281563 | − | 0.159682i | ||||
\(371\) | 3.91814 | + | 22.2209i | 0.203420 | + | 1.15365i | ||||
\(372\) | 4.19351 | − | 3.20586i | 0.217423 | − | 0.166216i | ||||
\(373\) | −18.2415 | + | 10.5317i | −0.944510 | + | 0.545313i | −0.891371 | − | 0.453274i | \(-0.850256\pi\) |
−0.0531391 | + | 0.998587i | \(0.516923\pi\) | |||||||
\(374\) | −5.03184 | + | 4.22221i | −0.260190 | + | 0.218325i | ||||
\(375\) | 12.3308 | + | 0.560536i | 0.636760 | + | 0.0289460i | ||||
\(376\) | 1.08010 | − | 2.96756i | 0.0557021 | − | 0.153040i | ||||
\(377\) | 3.35381 | − | 3.99691i | 0.172730 | − | 0.205852i | ||||
\(378\) | 1.70733 | + | 7.90228i | 0.0878158 | + | 0.406450i | ||||
\(379\) | − | 9.54057i | − | 0.490066i | −0.969515 | − | 0.245033i | \(-0.921201\pi\) | ||
0.969515 | − | 0.245033i | \(-0.0787988\pi\) | |||||||
\(380\) | 1.02255 | + | 3.13190i | 0.0524557 | + | 0.160663i | ||||
\(381\) | 22.2679 | + | 9.27048i | 1.14082 | + | 0.474941i | ||||
\(382\) | 11.8834 | + | 2.09536i | 0.608006 | + | 0.107208i | ||||
\(383\) | −5.96084 | − | 5.00173i | −0.304584 | − | 0.255577i | 0.477665 | − | 0.878542i | \(-0.341483\pi\) |
−0.782249 | + | 0.622965i | \(0.785928\pi\) | |||||||
\(384\) | 1.17245 | − | 1.27490i | 0.0598311 | − | 0.0650595i | ||||
\(385\) | 1.06216 | − | 0.386595i | 0.0541328 | − | 0.0197027i | ||||
\(386\) | −2.14990 | − | 2.56215i | −0.109427 | − | 0.130410i | ||||
\(387\) | −6.14888 | + | 22.6230i | −0.312565 | + | 1.14999i | ||||
\(388\) | −8.39641 | − | 4.84767i | −0.426263 | − | 0.246103i | ||||
\(389\) | −9.63724 | + | 1.69931i | −0.488627 | + | 0.0861582i | −0.412533 | − | 0.910942i | \(-0.635356\pi\) |
−0.0760939 | + | 0.997101i | \(0.524245\pi\) | |||||||
\(390\) | −0.828791 | − | 0.185299i | −0.0419674 | − | 0.00938297i | ||||
\(391\) | 4.00269 | − | 6.93287i | 0.202425 | − | 0.350610i | ||||
\(392\) | −2.28961 | − | 3.96572i | −0.115643 | − | 0.200299i | ||||
\(393\) | −18.3961 | + | 5.76401i | −0.927960 | + | 0.290756i | ||||
\(394\) | −2.03428 | − | 5.58914i | −0.102486 | − | 0.281577i | ||||
\(395\) | −0.986853 | − | 0.359185i | −0.0496539 | − | 0.0180726i | ||||
\(396\) | 2.87342 | − | 0.241008i | 0.144395 | − | 0.0121111i | ||||
\(397\) | −2.05329 | + | 11.6448i | −0.103052 | + | 0.584435i | 0.888929 | + | 0.458045i | \(0.151450\pi\) |
−0.991981 | + | 0.126390i | \(0.959661\pi\) | |||||||
\(398\) | −11.1771 | −0.560257 | ||||||||
\(399\) | −11.3714 | − | 2.94534i | −0.569284 | − | 0.147451i | ||||
\(400\) | 4.42872 | 0.221436 | ||||||||
\(401\) | 3.59086 | − | 20.3648i | 0.179319 | − | 1.01697i | −0.753720 | − | 0.657195i | \(-0.771743\pi\) |
0.933039 | − | 0.359774i | \(-0.117146\pi\) | |||||||
\(402\) | −7.43766 | − | 14.3504i | −0.370957 | − | 0.715733i | ||||
\(403\) | −1.85776 | − | 0.676169i | −0.0925416 | − | 0.0336824i | ||||
\(404\) | 6.43537 | + | 17.6810i | 0.320172 | + | 0.879665i | ||||
\(405\) | 5.24226 | − | 4.33507i | 0.260490 | − | 0.215411i | ||||
\(406\) | 6.25704 | + | 10.8375i | 0.310532 | + | 0.537857i | ||||
\(407\) | 1.98313 | − | 3.43488i | 0.0982999 | − | 0.170260i | ||||
\(408\) | −2.58267 | + | 11.5516i | −0.127861 | + | 0.571887i | ||||
\(409\) | 3.39761 | − | 0.599090i | 0.168001 | − | 0.0296231i | −0.0890148 | − | 0.996030i | \(-0.528372\pi\) |
0.257016 | + | 0.966407i | \(0.417261\pi\) | |||||||
\(410\) | −3.50128 | − | 2.02147i | −0.172916 | − | 0.0998331i | ||||
\(411\) | −1.10682 | − | 8.52524i | −0.0545952 | − | 0.420519i | ||||
\(412\) | −7.36940 | − | 8.78251i | −0.363064 | − | 0.432683i | ||||
\(413\) | −17.0238 | + | 6.19617i | −0.837688 | + | 0.304893i | ||||
\(414\) | −3.19029 | + | 1.47375i | −0.156794 | + | 0.0724307i | ||||
\(415\) | 7.01043 | + | 5.88245i | 0.344128 | + | 0.288758i | ||||
\(416\) | −0.638853 | − | 0.112647i | −0.0313224 | − | 0.00552298i | ||||
\(417\) | −2.40021 | + | 5.76535i | −0.117539 | + | 0.282331i | ||||
\(418\) | −1.56394 | + | 3.88681i | −0.0764946 | + | 0.190110i | ||||
\(419\) | − | 25.3156i | − | 1.23675i | −0.785884 | − | 0.618374i | \(-0.787792\pi\) | ||
0.785884 | − | 0.618374i | \(-0.212208\pi\) | |||||||
\(420\) | 1.09749 | − | 1.71592i | 0.0535522 | − | 0.0837283i | ||||
\(421\) | 20.4536 | − | 24.3756i | 0.996845 | − | 1.18799i | 0.0146955 | − | 0.999892i | \(-0.495322\pi\) |
0.982150 | − | 0.188102i | \(-0.0602334\pi\) | |||||||
\(422\) | 7.27158 | − | 19.9785i | 0.353975 | − | 0.972538i | ||||
\(423\) | 4.03468 | − | 8.57198i | 0.196173 | − | 0.416784i | ||||
\(424\) | 11.1093 | − | 9.32180i | 0.539515 | − | 0.452706i | ||||
\(425\) | −26.2108 | + | 15.1328i | −1.27141 | + | 0.734049i | ||||
\(426\) | −0.0360576 | − | 0.0471661i | −0.00174699 | − | 0.00228520i | ||||
\(427\) | 2.92728 | + | 16.6014i | 0.141661 | + | 0.803400i | ||||
\(428\) | −0.409205 | − | 2.32072i | −0.0197797 | − | 0.112176i | ||||
\(429\) | −0.655905 | − | 0.857975i | −0.0316674 | − | 0.0414234i | ||||
\(430\) | 5.11520 | − | 2.95326i | 0.246677 | − | 0.142419i | ||||
\(431\) | 25.2345 | − | 21.1742i | 1.21550 | − | 1.01993i | 0.216455 | − | 0.976293i | \(-0.430551\pi\) |
0.999048 | − | 0.0436350i | \(-0.0138938\pi\) | |||||||
\(432\) | 3.84984 | − | 3.48980i | 0.185226 | − | 0.167903i | ||||
\(433\) | −5.46188 | + | 15.0064i | −0.262481 | + | 0.721161i | 0.736517 | + | 0.676419i | \(0.236469\pi\) |
−0.998999 | + | 0.0447423i | \(0.985753\pi\) | |||||||
\(434\) | 3.04789 | − | 3.63233i | 0.146303 | − | 0.174358i | ||||
\(435\) | 5.67342 | − | 8.87034i | 0.272020 | − | 0.425300i | ||||
\(436\) | 6.48144i | 0.310405i | ||||||||
\(437\) | 0.170932 | − | 5.10321i | 0.00817679 | − | 0.244120i | ||||
\(438\) | 2.64565 | − | 6.35490i | 0.126414 | − | 0.303649i | ||||
\(439\) | −30.5401 | − | 5.38505i | −1.45760 | − | 0.257014i | −0.612011 | − | 0.790849i | \(-0.709639\pi\) |
−0.845589 | + | 0.533835i | \(0.820750\pi\) | |||||||
\(440\) | −0.556520 | − | 0.466976i | −0.0265311 | − | 0.0222622i | ||||
\(441\) | −5.76108 | − | 12.4713i | −0.274337 | − | 0.593871i | ||||
\(442\) | 4.16589 | − | 1.51626i | 0.198151 | − | 0.0721211i | ||||
\(443\) | −12.5287 | − | 14.9311i | −0.595257 | − | 0.709400i | 0.381350 | − | 0.924431i | \(-0.375459\pi\) |
−0.976607 | + | 0.215031i | \(0.931015\pi\) | |||||||
\(444\) | −0.920194 | − | 7.08779i | −0.0436705 | − | 0.336372i | ||||
\(445\) | −3.99962 | − | 2.30918i | −0.189600 | − | 0.109466i | ||||
\(446\) | −13.5672 | + | 2.39226i | −0.642426 | + | 0.113277i | ||||
\(447\) | −7.24156 | + | 32.3895i | −0.342514 | + | 1.53197i | ||||
\(448\) | 0.777943 | − | 1.34744i | 0.0367544 | − | 0.0636604i | ||||
\(449\) | −6.61607 | − | 11.4594i | −0.312232 | − | 0.540801i | 0.666613 | − | 0.745404i | \(-0.267743\pi\) |
−0.978845 | + | 0.204602i | \(0.934410\pi\) | |||||||
\(450\) | 13.2313 | + | 1.20544i | 0.623732 | + | 0.0568249i | ||||
\(451\) | −1.75842 | − | 4.83122i | −0.0828007 | − | 0.227493i | ||||
\(452\) | −9.43326 | − | 3.43342i | −0.443703 | − | 0.161495i | ||||
\(453\) | −15.3524 | − | 29.6214i | −0.721321 | − | 1.39173i | ||||
\(454\) | 2.81112 | − | 15.9427i | 0.131933 | − | 0.748227i | ||||
\(455\) | −0.762876 | −0.0357642 | ||||||||
\(456\) | 2.01492 | + | 7.27600i | 0.0943571 | + | 0.340730i | ||||
\(457\) | −15.4038 | −0.720559 | −0.360279 | − | 0.932844i | \(-0.617319\pi\) | ||||
−0.360279 | + | 0.932844i | \(0.617319\pi\) | |||||||
\(458\) | 4.45341 | − | 25.2566i | 0.208094 | − | 1.18016i | ||||
\(459\) | −10.8602 | + | 33.8088i | −0.506912 | + | 1.57806i | ||||
\(460\) | 0.831999 | + | 0.302823i | 0.0387921 | + | 0.0141192i | ||||
\(461\) | 5.65076 | + | 15.5253i | 0.263182 | + | 0.723087i | 0.998948 | + | 0.0458511i | \(0.0146000\pi\) |
−0.735766 | + | 0.677236i | \(0.763178\pi\) | |||||||
\(462\) | 2.47174 | − | 0.774466i | 0.114996 | − | 0.0360314i | ||||
\(463\) | −4.69170 | − | 8.12625i | −0.218042 | − | 0.377659i | 0.736168 | − | 0.676799i | \(-0.236634\pi\) |
−0.954209 | + | 0.299140i | \(0.903300\pi\) | |||||||
\(464\) | 4.02153 | − | 6.96549i | 0.186695 | − | 0.323365i | ||||
\(465\) | −3.89358 | − | 0.870516i | −0.180560 | − | 0.0403692i | ||||
\(466\) | 11.4630 | − | 2.02124i | 0.531014 | − | 0.0936321i | ||||
\(467\) | −18.5458 | − | 10.7074i | −0.858196 | − | 0.495480i | 0.00521153 | − | 0.999986i | \(-0.498341\pi\) |
−0.863408 | + | 0.504507i | \(0.831674\pi\) | |||||||
\(468\) | −1.87799 | − | 0.510435i | −0.0868103 | − | 0.0235949i | ||||
\(469\) | −9.33287 | − | 11.1225i | −0.430952 | − | 0.513588i | ||||
\(470\) | −2.24298 | + | 0.816380i | −0.103461 | + | 0.0376568i | ||||
\(471\) | −0.250711 | + | 0.272620i | −0.0115522 | + | 0.0125617i | ||||
\(472\) | 8.91965 | + | 7.48447i | 0.410560 | + | 0.344501i | ||||
\(473\) | 7.39703 | + | 1.30430i | 0.340116 | + | 0.0599716i | ||||
\(474\) | −2.22174 | − | 0.924946i | −0.102048 | − | 0.0424842i | ||||
\(475\) | −10.2064 | + | 16.3855i | −0.468302 | + | 0.751820i | ||||
\(476\) | 10.6328i | 0.487356i | ||||||||
\(477\) | 35.7277 | − | 24.8262i | 1.63586 | − | 1.13672i | ||||
\(478\) | −9.78488 | + | 11.6612i | −0.447550 | + | 0.533369i | ||||
\(479\) | −11.4165 | + | 31.3665i | −0.521632 | + | 1.43317i | 0.347071 | + | 0.937839i | \(0.387176\pi\) |
−0.868703 | + | 0.495333i | \(0.835046\pi\) | |||||||
\(480\) | −1.30779 | − | 0.0594499i | −0.0596923 | − | 0.00271350i | ||||
\(481\) | −2.05061 | + | 1.72067i | −0.0934998 | + | 0.0784557i | ||||
\(482\) | −13.1498 | + | 7.59206i | −0.598959 | + | 0.345809i | ||||
\(483\) | −2.50791 | + | 1.91725i | −0.114114 | + | 0.0872379i | ||||
\(484\) | 1.74971 | + | 9.92307i | 0.0795320 | + | 0.451049i | ||||
\(485\) | 1.27250 | + | 7.21673i | 0.0577815 | + | 0.327695i | ||||
\(486\) | 12.4518 | − | 9.37836i | 0.564824 | − | 0.425411i | ||||
\(487\) | −28.9750 | + | 16.7288i | −1.31298 | + | 0.758052i | −0.982589 | − | 0.185791i | \(-0.940515\pi\) |
−0.330395 | + | 0.943843i | \(0.607182\pi\) | |||||||
\(488\) | 8.29986 | − | 6.96441i | 0.375717 | − | 0.315264i | ||||
\(489\) | 1.18244 | − | 26.0117i | 0.0534720 | − | 1.17629i | ||||
\(490\) | −1.18378 | + | 3.25240i | −0.0534775 | + | 0.146928i | ||||
\(491\) | −0.635055 | + | 0.756829i | −0.0286596 | + | 0.0341552i | −0.780184 | − | 0.625550i | \(-0.784875\pi\) |
0.751524 | + | 0.659705i | \(0.229319\pi\) | |||||||
\(492\) | −7.80481 | − | 4.99192i | −0.351868 | − | 0.225053i | ||||
\(493\) | 54.9658i | 2.47554i | ||||||||
\(494\) | 1.88908 | − | 2.10405i | 0.0849936 | − | 0.0946657i | ||||
\(495\) | −1.53557 | − | 1.54663i | −0.0690188 | − | 0.0695158i | ||||
\(496\) | −3.00127 | − | 0.529205i | −0.134761 | − | 0.0237620i | ||||
\(497\) | −0.0408543 | − | 0.0342808i | −0.00183256 | − | 0.00153770i | ||||
\(498\) | 15.4362 | + | 14.1957i | 0.691713 | + | 0.636124i | ||||
\(499\) | −4.11402 | + | 1.49738i | −0.184169 | + | 0.0670319i | −0.432458 | − | 0.901654i | \(-0.642354\pi\) |
0.248290 | + | 0.968686i | \(0.420132\pi\) | |||||||
\(500\) | −4.58085 | − | 5.45925i | −0.204862 | − | 0.244145i | ||||
\(501\) | 16.2312 | − | 2.10726i | 0.725155 | − | 0.0941454i | ||||
\(502\) | 9.39486 | + | 5.42413i | 0.419313 | + | 0.242091i | ||||
\(503\) | −31.7905 | + | 5.60552i | −1.41747 | + | 0.249938i | −0.829301 | − | 0.558802i | \(-0.811261\pi\) |
−0.588167 | + | 0.808740i | \(0.700150\pi\) | |||||||
\(504\) | 2.69096 | − | 3.81389i | 0.119865 | − | 0.169884i | ||||
\(505\) | 7.11080 | − | 12.3163i | 0.316426 | − | 0.548067i | ||||
\(506\) | 0.562965 | + | 0.975083i | 0.0250268 | + | 0.0433477i | ||||
\(507\) | −6.51443 | − | 20.7911i | −0.289316 | − | 0.923365i | ||||
\(508\) | −4.76297 | − | 13.0862i | −0.211323 | − | 0.580604i | ||||
\(509\) | −21.2608 | − | 7.73831i | −0.942370 | − | 0.342994i | −0.175268 | − | 0.984521i | \(-0.556079\pi\) |
−0.767101 | + | 0.641526i | \(0.778302\pi\) | |||||||
\(510\) | 7.94314 | − | 4.11685i | 0.351728 | − | 0.182297i | ||||
\(511\) | 1.07375 | − | 6.08956i | 0.0475000 | − | 0.269386i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 4.03939 | + | 22.2864i | 0.178343 | + | 0.983968i | ||||
\(514\) | −0.0452647 | −0.00199654 | ||||||||
\(515\) | −1.50474 | + | 8.53380i | −0.0663067 | + | 0.376044i | ||||
\(516\) | 12.0171 | − | 6.22833i | 0.529023 | − | 0.274187i | ||||
\(517\) | −2.85234 | − | 1.03817i | −0.125446 | − | 0.0456585i | ||||
\(518\) | −2.19588 | − | 6.03314i | −0.0964815 | − | 0.265081i | ||||
\(519\) | 6.96458 | + | 22.2278i | 0.305711 | + | 0.975690i | ||||
\(520\) | 0.245158 | + | 0.424626i | 0.0107509 | + | 0.0186211i | ||||
\(521\) | −4.86213 | + | 8.42145i | −0.213014 | + | 0.368950i | −0.952656 | − | 0.304049i | \(-0.901661\pi\) |
0.739643 | + | 0.673000i | \(0.234995\pi\) | |||||||
\(522\) | 13.9107 | − | 19.7157i | 0.608857 | − | 0.862932i | ||||
\(523\) | 33.5671 | − | 5.91879i | 1.46779 | − | 0.258810i | 0.618101 | − | 0.786099i | \(-0.287902\pi\) |
0.849686 | + | 0.527288i | \(0.176791\pi\) | |||||||
\(524\) | 9.63898 | + | 5.56507i | 0.421081 | + | 0.243111i | ||||
\(525\) | 11.8355 | − | 1.53658i | 0.516544 | − | 0.0670619i | ||||
\(526\) | 3.52577 | + | 4.20185i | 0.153731 | + | 0.183209i | ||||
\(527\) | 19.5709 | − | 7.12324i | 0.852523 | − | 0.310293i | ||||
\(528\) | −1.22540 | − | 1.12692i | −0.0533286 | − | 0.0490429i | ||||
\(529\) | 16.5678 | + | 13.9021i | 0.720341 | + | 0.604438i | ||||
\(530\) | −10.7947 | − | 1.90339i | −0.468891 | − | 0.0826782i | ||||
\(531\) | 24.6114 | + | 24.7886i | 1.06804 | + | 1.07573i | ||||
\(532\) | 3.19246 | + | 5.98357i | 0.138411 | + | 0.259420i | ||||
\(533\) | 3.46992i | 0.150299i | ||||||||
\(534\) | −8.91568 | − | 5.70242i | −0.385819 | − | 0.246768i | ||||
\(535\) | −1.14489 | + | 1.36443i | −0.0494980 | + | 0.0589894i | ||||
\(536\) | −3.19170 | + | 8.76911i | −0.137860 | + | 0.378768i | ||||
\(537\) | −1.31297 | + | 28.8831i | −0.0566590 | + | 1.24640i | ||||
\(538\) | 1.50432 | − | 1.26228i | 0.0648559 | − | 0.0544206i | ||||
\(539\) | −3.81174 | + | 2.20071i | −0.164183 | + | 0.0947911i | ||||
\(540\) | −3.89101 | − | 0.533578i | −0.167443 | − | 0.0229615i | ||||
\(541\) | 0.180608 | + | 1.02428i | 0.00776495 | + | 0.0440372i | 0.988444 | − | 0.151586i | \(-0.0484381\pi\) |
−0.980679 | + | 0.195623i | \(0.937327\pi\) | |||||||
\(542\) | 3.66802 | + | 20.8024i | 0.157555 | + | 0.893537i | ||||
\(543\) | −14.0280 | + | 10.7242i | −0.602001 | + | 0.460218i | ||||
\(544\) | 5.91837 | − | 3.41697i | 0.253748 | − | 0.146502i | ||||
\(545\) | 3.75277 | − | 3.14895i | 0.160751 | − | 0.134886i | ||||
\(546\) | −1.74638 | − | 0.0793875i | −0.0747384 | − | 0.00339747i | ||||
\(547\) | 8.86889 | − | 24.3671i | 0.379207 | − | 1.04186i | −0.592480 | − | 0.805586i | \(-0.701851\pi\) |
0.971686 | − | 0.236276i | \(-0.0759269\pi\) | |||||||
\(548\) | −3.19038 | + | 3.80215i | −0.136286 | + | 0.162420i | ||||
\(549\) | 26.6925 | − | 18.5479i | 1.13921 | − | 0.791607i | ||||
\(550\) | − | 4.25675i | − | 0.181509i | ||||||
\(551\) | 16.5032 | + | 30.9317i | 0.703060 | + | 1.31773i | ||||
\(552\) | 1.87311 | + | 0.779806i | 0.0797248 | + | 0.0331907i | ||||
\(553\) | −2.12897 | − | 0.375395i | −0.0905330 | − | 0.0159634i | ||||
\(554\) | −6.00424 | − | 5.03816i | −0.255096 | − | 0.214051i | ||||
\(555\) | −3.65678 | + | 3.97633i | −0.155222 | + | 0.168786i | ||||
\(556\) | 3.38812 | − | 1.23318i | 0.143688 | − | 0.0522983i | ||||
\(557\) | 2.42914 | + | 2.89494i | 0.102926 | + | 0.122662i | 0.815048 | − | 0.579393i | \(-0.196710\pi\) |
−0.712122 | + | 0.702055i | \(0.752266\pi\) | |||||||
\(558\) | −8.82264 | − | 2.39797i | −0.373492 | − | 0.101514i | ||||
\(559\) | −4.39021 | − | 2.53469i | −0.185686 | − | 0.107206i | ||||
\(560\) | −1.15813 | + | 0.204209i | −0.0489397 | + | 0.00862940i | ||||
\(561\) | 11.1030 | + | 2.48238i | 0.468770 | + | 0.104806i | ||||
\(562\) | −5.85639 | + | 10.1436i | −0.247037 | + | 0.427880i | ||||
\(563\) | −5.99208 | − | 10.3786i | −0.252536 | − | 0.437406i | 0.711687 | − | 0.702496i | \(-0.247931\pi\) |
−0.964223 | + | 0.265091i | \(0.914598\pi\) | |||||||
\(564\) | −5.21962 | + | 1.63545i | −0.219786 | + | 0.0688650i | ||||
\(565\) | 2.59510 | + | 7.12998i | 0.109177 | + | 0.299960i | ||||
\(566\) | 6.59684 | + | 2.40105i | 0.277286 | + | 0.100924i | ||||
\(567\) | 9.07767 | − | 10.6620i | 0.381226 | − | 0.447764i | ||||
\(568\) | −0.00595218 | + | 0.0337565i | −0.000249748 | + | 0.00141639i | ||||
\(569\) | −11.2148 | −0.470147 | −0.235074 | − | 0.971978i | \(-0.575533\pi\) | ||||
−0.235074 | + | 0.971978i | \(0.575533\pi\) | |||||||
\(570\) | 3.23389 | − | 4.70162i | 0.135453 | − | 0.196929i | ||||
\(571\) | 16.2525 | 0.680144 | 0.340072 | − | 0.940399i | \(-0.389548\pi\) | ||||
0.340072 | + | 0.940399i | \(0.389548\pi\) | |||||||
\(572\) | −0.108273 | + | 0.614047i | −0.00452713 | + | 0.0256746i | ||||
\(573\) | −9.61733 | − | 18.5559i | −0.401770 | − | 0.775185i | ||||
\(574\) | −7.82048 | − | 2.84642i | −0.326421 | − | 0.118807i | ||||
\(575\) | 1.77435 | + | 4.87499i | 0.0739956 | + | 0.203301i | ||||
\(576\) | −2.98763 | − | 0.272187i | −0.124484 | − | 0.0113411i | ||||
\(577\) | −4.02000 | − | 6.96284i | −0.167355 | − | 0.289867i | 0.770134 | − | 0.637882i | \(-0.220189\pi\) |
−0.937489 | + | 0.348015i | \(0.886856\pi\) | |||||||
\(578\) | −14.8514 | + | 25.7234i | −0.617738 | + | 1.06995i | ||||
\(579\) | −1.26400 | + | 5.65351i | −0.0525299 | + | 0.234952i | ||||
\(580\) | −5.98686 | + | 1.05564i | −0.248591 | + | 0.0438333i | ||||
\(581\) | 16.3145 | + | 9.41916i | 0.676838 | + | 0.390772i | ||||
\(582\) | 2.16203 | + | 16.6531i | 0.0896192 | + | 0.690291i | ||||
\(583\) | −8.95984 | − | 10.6779i | −0.371079 | − | 0.442234i | ||||
\(584\) | −3.73458 | + | 1.35928i | −0.154538 | + | 0.0562473i | ||||
\(585\) | 0.616863 | + | 1.33535i | 0.0255041 | + | 0.0552101i | ||||
\(586\) | 1.97785 | + | 1.65961i | 0.0817041 | + | 0.0685579i | ||||
\(587\) | 19.5628 | + | 3.44945i | 0.807444 | + | 0.142374i | 0.562108 | − | 0.827064i | \(-0.309991\pi\) |
0.245336 | + | 0.969438i | \(0.421102\pi\) | |||||||
\(588\) | −3.04837 | + | 7.32224i | −0.125713 | + | 0.301964i | ||||
\(589\) | 8.87470 | − | 9.88463i | 0.365676 | − | 0.407289i | ||||
\(590\) | − | 8.80076i | − | 0.362321i | ||||||
\(591\) | −5.55081 | + | 8.67864i | −0.228330 | + | 0.356992i | ||||
\(592\) | −2.65245 | + | 3.16107i | −0.109015 | + | 0.129919i | ||||
\(593\) | 7.64203 | − | 20.9963i | 0.313821 | − | 0.862215i | −0.678056 | − | 0.735010i | \(-0.737177\pi\) |
0.991876 | − | 0.127205i | \(-0.0406006\pi\) | |||||||
\(594\) | −3.35430 | − | 3.70036i | −0.137629 | − | 0.151827i | ||||
\(595\) | 6.15644 | − | 5.16587i | 0.252390 | − | 0.211780i | ||||
\(596\) | 16.5946 | − | 9.58089i | 0.679741 | − | 0.392449i | ||||
\(597\) | 11.7576 | + | 15.3799i | 0.481208 | + | 0.629456i | ||||
\(598\) | −0.131956 | − | 0.748362i | −0.00539610 | − | 0.0306028i | ||||
\(599\) | −2.89198 | − | 16.4012i | −0.118163 | − | 0.670136i | −0.985135 | − | 0.171780i | \(-0.945048\pi\) |
0.866972 | − | 0.498356i | \(-0.166063\pi\) | |||||||
\(600\) | −4.65874 | − | 6.09399i | −0.190192 | − | 0.248786i | ||||
\(601\) | 17.9204 | − | 10.3464i | 0.730990 | − | 0.422037i | −0.0877940 | − | 0.996139i | \(-0.527982\pi\) |
0.818784 | + | 0.574101i | \(0.194648\pi\) | |||||||
\(602\) | 9.31401 | − | 7.81539i | 0.379611 | − | 0.318531i | ||||
\(603\) | −11.9224 | + | 25.3301i | −0.485519 | + | 1.03152i | ||||
\(604\) | −6.58814 | + | 18.1008i | −0.268068 | + | 0.736510i | ||||
\(605\) | 4.89540 | − | 5.83411i | 0.199026 | − | 0.237191i | ||||
\(606\) | 17.5598 | − | 27.4546i | 0.713318 | − | 1.11527i | ||||
\(607\) | − | 39.3916i | − | 1.59886i | −0.600761 | − | 0.799428i | \(-0.705136\pi\) | ||
0.600761 | − | 0.799428i | \(-0.294864\pi\) | |||||||
\(608\) | 2.30460 | − | 3.69984i | 0.0934638 | − | 0.150048i | ||||
\(609\) | 8.33058 | − | 20.0102i | 0.337572 | − | 0.810854i | ||||
\(610\) | −8.06482 | − | 1.42205i | −0.326535 | − | 0.0575769i | ||||
\(611\) | 1.56934 | + | 1.31683i | 0.0634888 | + | 0.0532734i | ||||
\(612\) | 18.6119 | − | 8.59774i | 0.752343 | − | 0.347543i | ||||
\(613\) | −26.4005 | + | 9.60900i | −1.06631 | + | 0.388104i | −0.814794 | − | 0.579750i | \(-0.803150\pi\) |
−0.251512 | + | 0.967854i | \(0.580928\pi\) | |||||||
\(614\) | −1.26629 | − | 1.50910i | −0.0511032 | − | 0.0609024i | ||||
\(615\) | 0.901563 | + | 6.94428i | 0.0363545 | + | 0.280020i | ||||
\(616\) | −1.29512 | − | 0.747736i | −0.0521818 | − | 0.0301272i | ||||
\(617\) | −20.3648 | + | 3.59086i | −0.819854 | + | 0.144562i | −0.567817 | − | 0.823155i | \(-0.692212\pi\) |
−0.252038 | + | 0.967717i | \(0.581101\pi\) | |||||||
\(618\) | −4.33272 | + | 19.3791i | −0.174288 | + | 0.779541i | ||||
\(619\) | 16.8830 | − | 29.2423i | 0.678586 | − | 1.17535i | −0.296821 | − | 0.954933i | \(-0.595926\pi\) |
0.975407 | − | 0.220412i | \(-0.0707402\pi\) | |||||||
\(620\) | 1.15173 | + | 1.99485i | 0.0462545 | + | 0.0801152i | ||||
\(621\) | 5.38390 | + | 2.83960i | 0.216048 | + | 0.113949i | ||||
\(622\) | −8.88236 | − | 24.4041i | −0.356150 | − | 0.978515i | ||||
\(623\) | −8.93358 | − | 3.25156i | −0.357916 | − | 0.130271i | ||||
\(624\) | 0.517031 | + | 0.997571i | 0.0206978 | + | 0.0399348i | ||||
\(625\) | 2.90984 | − | 16.5025i | 0.116394 | − | 0.660101i | ||||
\(626\) | 13.4088 | 0.535925 | ||||||||
\(627\) | 6.99348 | − | 1.93668i | 0.279293 | − | 0.0773435i | ||||
\(628\) | 0.213836 | 0.00853299 | ||||||||
\(629\) | 4.89690 | − | 27.7717i | 0.195252 | − | 1.10733i | ||||
\(630\) | −3.51563 | + | 0.294873i | −0.140066 | + | 0.0117480i | ||||
\(631\) | −35.0060 | − | 12.7411i | −1.39357 | − | 0.507217i | −0.467304 | − | 0.884096i | \(-0.654775\pi\) |
−0.926262 | + | 0.376880i | \(0.876997\pi\) | |||||||
\(632\) | 0.475217 | + | 1.30565i | 0.0189031 | + | 0.0519359i | ||||
\(633\) | −35.1400 | + | 11.0103i | −1.39669 | + | 0.437622i | ||||
\(634\) | 15.2117 | + | 26.3474i | 0.604132 | + | 1.04639i | ||||
\(635\) | −5.26287 | + | 9.11556i | −0.208851 | + | 0.361740i | ||||
\(636\) | −24.5132 | − | 5.48061i | −0.972014 | − | 0.217320i | ||||
\(637\) | 2.92545 | − | 0.515836i | 0.115911 | − | 0.0204382i | ||||
\(638\) | −6.69503 | − | 3.86538i | −0.265059 | − | 0.153032i | ||||
\(639\) | −0.0269710 | + | 0.0992317i | −0.00106695 | + | 0.00392554i | ||||
\(640\) | 0.485841 | + | 0.579002i | 0.0192045 | + | 0.0228871i | ||||
\(641\) | 7.37099 | − | 2.68282i | 0.291137 | − | 0.105965i | −0.192323 | − | 0.981332i | \(-0.561602\pi\) |
0.483460 | + | 0.875367i | \(0.339380\pi\) | |||||||
\(642\) | −2.76289 | + | 3.00432i | −0.109042 | + | 0.118571i | ||||
\(643\) | 29.9819 | + | 25.1578i | 1.18237 | + | 0.992126i | 0.999960 | + | 0.00890393i | \(0.00283425\pi\) |
0.182410 | + | 0.983223i | \(0.441610\pi\) | |||||||
\(644\) | 1.79490 | + | 0.316489i | 0.0707289 | + | 0.0124714i | ||||
\(645\) | −9.44461 | − | 3.93195i | −0.371881 | − | 0.154820i | ||||
\(646\) | −0.997207 | + | 29.7718i | −0.0392346 | + | 1.17136i | ||||
\(647\) | 6.21339i | 0.244274i | 0.992513 | + | 0.122137i | \(0.0389747\pi\) | ||||
−0.992513 | + | 0.122137i | \(0.961025\pi\) | |||||||
\(648\) | −8.85183 | − | 1.62639i | −0.347733 | − | 0.0638905i | ||||
\(649\) | 7.19386 | − | 8.57331i | 0.282384 | − | 0.336532i | ||||
\(650\) | −0.982605 | + | 2.69969i | −0.0385410 | + | 0.105890i | ||||
\(651\) | −8.20435 | − | 0.372955i | −0.321554 | − | 0.0146173i | ||||
\(652\) | −11.5162 | + | 9.66326i | −0.451010 | + | 0.378442i | ||||
\(653\) | 23.3831 | − | 13.5002i | 0.915050 | − | 0.528304i | 0.0329976 | − | 0.999455i | \(-0.489495\pi\) |
0.882053 | + | 0.471151i | \(0.156161\pi\) | |||||||
\(654\) | 8.91857 | − | 6.81808i | 0.348744 | − | 0.266608i | ||||
\(655\) | −1.46082 | − | 8.28473i | −0.0570790 | − | 0.323711i | ||||
\(656\) | 0.928838 | + | 5.26770i | 0.0362650 | + | 0.205669i | ||||
\(657\) | −11.5275 | + | 3.04451i | −0.449731 | + | 0.118778i | ||||
\(658\) | −4.25522 | + | 2.45676i | −0.165886 | + | 0.0957743i | ||||
\(659\) | −23.3482 | + | 19.5915i | −0.909517 | + | 0.763176i | −0.972027 | − | 0.234869i | \(-0.924534\pi\) |
0.0625097 | + | 0.998044i | \(0.480090\pi\) | |||||||
\(660\) | −0.0571415 | + | 1.25701i | −0.00222423 | + | 0.0489291i | ||||
\(661\) | −11.2133 | + | 30.8082i | −0.436146 | + | 1.19830i | 0.505834 | + | 0.862631i | \(0.331185\pi\) |
−0.941980 | + | 0.335670i | \(0.891037\pi\) | |||||||
\(662\) | 6.84344 | − | 8.15570i | 0.265978 | − | 0.316980i | ||||
\(663\) | −6.46866 | − | 4.13732i | −0.251222 | − | 0.160680i | ||||
\(664\) | − | 12.1078i | − | 0.469873i | ||||||
\(665\) | 1.91347 | − | 4.75550i | 0.0742013 | − | 0.184410i | ||||
\(666\) | −8.78493 | + | 8.72213i | −0.340409 | + | 0.337975i | ||||
\(667\) | 9.27861 | + | 1.63607i | 0.359269 | + | 0.0633489i | ||||
\(668\) | −7.23890 | − | 6.07416i | −0.280081 | − | 0.235016i | ||||
\(669\) | 17.5637 | + | 16.1522i | 0.679051 | + | 0.624480i | ||||
\(670\) | 6.62799 | − | 2.41239i | 0.256062 | − | 0.0931989i | ||||
\(671\) | −6.69399 | − | 7.97759i | −0.258419 | − | 0.307971i | ||||
\(672\) | −2.67245 | + | 0.346959i | −0.103092 | + | 0.0133842i | ||||
\(673\) | 26.7750 | + | 15.4586i | 1.03210 | + | 0.595884i | 0.917586 | − | 0.397537i | \(-0.130135\pi\) |
0.114516 | + | 0.993421i | \(0.463468\pi\) | |||||||
\(674\) | 6.85690 | − | 1.20906i | 0.264118 | − | 0.0465711i | ||||
\(675\) | −12.2599 | − | 19.4746i | −0.471883 | − | 0.749578i | ||||
\(676\) | −6.28959 | + | 10.8939i | −0.241907 | + | 0.418996i | ||||
\(677\) | 19.6720 | + | 34.0729i | 0.756057 | + | 1.30953i | 0.944847 | + | 0.327511i | \(0.106210\pi\) |
−0.188791 | + | 0.982017i | \(0.560457\pi\) | |||||||
\(678\) | 5.19876 | + | 16.5921i | 0.199657 | + | 0.637215i | ||||
\(679\) | 5.15932 | + | 14.1751i | 0.197996 | + | 0.543991i | ||||
\(680\) | −4.85382 | − | 1.76665i | −0.186136 | − | 0.0677478i | ||||
\(681\) | −24.8945 | + | 12.9026i | −0.953961 | + | 0.494428i | ||||
\(682\) | −0.508657 | + | 2.88474i | −0.0194775 | + | 0.110462i | ||||
\(683\) | −12.0176 | −0.459840 | −0.229920 | − | 0.973210i | \(-0.573846\pi\) | ||||
−0.229920 | + | 0.973210i | \(0.573846\pi\) | |||||||
\(684\) | 7.89233 | − | 10.4265i | 0.301771 | − | 0.398666i | ||||
\(685\) | 3.75147 | 0.143336 | ||||||||
\(686\) | −3.12844 | + | 17.7422i | −0.119444 | + | 0.677402i | ||||
\(687\) | −39.4382 | + | 20.4404i | −1.50466 | + | 0.779849i | ||||
\(688\) | −7.34330 | − | 2.67274i | −0.279961 | − | 0.101897i | ||||
\(689\) | 3.21761 | + | 8.84031i | 0.122581 | + | 0.336789i | ||||
\(690\) | −0.458523 | − | 1.46340i | −0.0174557 | − | 0.0557105i | ||||
\(691\) | −17.5214 | − | 30.3479i | −0.666544 | − | 1.15449i | −0.978864 | − | 0.204512i | \(-0.934439\pi\) |
0.312320 | − | 0.949977i | \(-0.398894\pi\) | |||||||
\(692\) | 6.72420 | − | 11.6467i | 0.255616 | − | 0.442739i | ||||
\(693\) | −3.66580 | − | 2.58647i | −0.139252 | − | 0.0982519i | ||||
\(694\) | −27.7308 | + | 4.88969i | −1.05265 | + | 0.185610i | ||||
\(695\) | −2.36010 | − | 1.36260i | −0.0895237 | − | 0.0516865i | ||||
\(696\) | −13.8150 | + | 1.79358i | −0.523658 | + | 0.0679855i | ||||
\(697\) | −23.4968 | − | 28.0024i | −0.890006 | − | 1.06067i | ||||
\(698\) | −18.4021 | + | 6.69781i | −0.696530 | + | 0.253516i | ||||
\(699\) | −14.8397 | − | 13.6471i | −0.561288 | − | 0.516181i | ||||
\(700\) | −5.27849 | − | 4.42918i | −0.199508 | − | 0.167407i | ||||
\(701\) | 2.95841 | + | 0.521647i | 0.111738 | + | 0.0197023i | 0.229237 | − | 0.973371i | \(-0.426377\pi\) |
−0.117500 | + | 0.993073i | \(0.537488\pi\) | |||||||
\(702\) | 1.27317 | + | 3.12110i | 0.0480527 | + | 0.117798i | ||||
\(703\) | −5.58262 | − | 17.0986i | −0.210552 | − | 0.644887i | ||||
\(704\) | 0.961171i | 0.0362255i | ||||||||
\(705\) | 3.48284 | + | 2.22760i | 0.131171 | + | 0.0838964i | ||||
\(706\) | −2.63528 | + | 3.14061i | −0.0991801 | + | 0.118198i | ||||
\(707\) | 10.0127 | − | 27.5097i | 0.376567 | − | 1.03461i | ||||
\(708\) | 0.915838 | − | 20.1468i | 0.0344193 | − | 0.757163i | ||||
\(709\) | 2.36012 | − | 1.98037i | 0.0886360 | − | 0.0743744i | −0.597393 | − | 0.801949i | \(-0.703797\pi\) |
0.686029 | + | 0.727574i | \(0.259352\pi\) | |||||||
\(710\) | 0.0224369 | − | 0.0129539i | 0.000842042 | − | 0.000486153i | ||||
\(711\) | 1.06439 | + | 4.03013i | 0.0399178 | + | 0.151142i | ||||
\(712\) | 1.06104 | + | 6.01746i | 0.0397642 | + | 0.225514i | ||||
\(713\) | −0.619918 | − | 3.51573i | −0.0232161 | − | 0.131665i | ||||
\(714\) | 14.6310 | − | 11.1851i | 0.547551 | − | 0.418592i | ||||
\(715\) | 0.408138 | − | 0.235639i | 0.0152635 | − | 0.00881239i | ||||
\(716\) | 12.7875 | − | 10.7300i | 0.477891 | − | 0.400998i | ||||
\(717\) | 26.3391 | + | 1.19733i | 0.983650 | + | 0.0447150i | ||||
\(718\) | −1.91864 | + | 5.27142i | −0.0716030 | + | 0.196728i | ||||
\(719\) | −7.13781 | + | 8.50651i | −0.266195 | + | 0.317239i | −0.882540 | − | 0.470237i | \(-0.844168\pi\) |
0.616345 | + | 0.787476i | \(0.288613\pi\) | |||||||
\(720\) | 1.29391 | + | 1.86208i | 0.0482213 | + | 0.0693957i | ||||
\(721\) | 17.8378i | 0.664316i | ||||||||
\(722\) | 8.37766 | + | 17.0533i | 0.311784 | + | 0.634658i | ||||
\(723\) | 24.2796 | + | 10.1080i | 0.902969 | + | 0.375921i | ||||
\(724\) | 10.0398 | + | 1.77029i | 0.373126 | + | 0.0657921i | ||||
\(725\) | −27.2868 | − | 22.8964i | −1.01341 | − | 0.850349i | ||||
\(726\) | 11.8137 | − | 12.8461i | 0.438449 | − | 0.476763i | ||||
\(727\) | 13.8709 | − | 5.04860i | 0.514444 | − | 0.187242i | −0.0717355 | − | 0.997424i | \(-0.522854\pi\) |
0.586179 | + | 0.810182i | \(0.300632\pi\) | |||||||
\(728\) | 0.648776 | + | 0.773182i | 0.0240453 | + | 0.0286560i | ||||
\(729\) | −26.0033 | − | 7.26839i | −0.963084 | − | 0.269199i | ||||
\(730\) | 2.60144 | + | 1.50194i | 0.0962835 | + | 0.0555893i | ||||
\(731\) | 52.5931 | − | 9.27357i | 1.94522 | − | 0.342996i | ||||
\(732\) | −18.3141 | − | 4.09462i | −0.676908 | − | 0.151341i | ||||
\(733\) | −18.1447 | + | 31.4276i | −0.670191 | + | 1.16080i | 0.307659 | + | 0.951497i | \(0.400454\pi\) |
−0.977850 | + | 0.209308i | \(0.932879\pi\) | |||||||
\(734\) | −1.49168 | − | 2.58367i | −0.0550589 | − | 0.0953649i | ||||
\(735\) | 5.72062 | − | 1.79243i | 0.211008 | − | 0.0661147i | ||||
\(736\) | −0.400647 | − | 1.10077i | −0.0147681 | − | 0.0405749i | ||||
\(737\) | 8.42862 | + | 3.06777i | 0.310472 | + | 0.113003i | ||||
\(738\) | 1.34122 | + | 15.9908i | 0.0493711 | + | 0.588628i | ||||
\(739\) | −2.94942 | + | 16.7270i | −0.108496 | + | 0.615312i | 0.881270 | + | 0.472613i | \(0.156689\pi\) |
−0.989766 | + | 0.142699i | \(0.954422\pi\) | |||||||
\(740\) | 3.11893 | 0.114654 | ||||||||
\(741\) | −4.88240 | − | 0.386069i | −0.179360 | − | 0.0141826i | ||||
\(742\) | −22.5637 | −0.828339 | ||||||||
\(743\) | 4.59818 | − | 26.0776i | 0.168691 | − | 0.956693i | −0.776486 | − | 0.630134i | \(-0.783000\pi\) |
0.945177 | − | 0.326559i | \(-0.105889\pi\) | |||||||
\(744\) | 2.42896 | + | 4.68649i | 0.0890500 | + | 0.171815i | ||||
\(745\) | −13.6097 | − | 4.95352i | −0.498620 | − | 0.181483i | ||||
\(746\) | −7.20414 | − | 19.7932i | −0.263762 | − | 0.724681i | ||||
\(747\) | 3.29558 | − | 36.1735i | 0.120579 | − | 1.32352i | ||||
\(748\) | −3.28430 | − | 5.68857i | −0.120086 | − | 0.207995i | ||||
\(749\) | −1.83324 | + | 3.17526i | −0.0669850 | + | 0.116021i | ||||
\(750\) | −2.69324 | + | 12.0461i | −0.0983433 | + | 0.439863i | ||||
\(751\) | 46.8929 | − | 8.26849i | 1.71115 | − | 0.301722i | 0.769581 | − | 0.638549i | \(-0.220465\pi\) |
0.941566 | + | 0.336827i | \(0.109354\pi\) | |||||||
\(752\) | 2.73492 | + | 1.57901i | 0.0997323 | + | 0.0575805i | ||||
\(753\) | −2.41913 | − | 18.6333i | −0.0881581 | − | 0.679037i | ||||
\(754\) | 3.35381 | + | 3.99691i | 0.122139 | + | 0.145559i | ||||
\(755\) | 13.6812 | − | 4.97954i | 0.497909 | − | 0.181224i | ||||
\(756\) | −8.07871 | + | 0.309178i | −0.293820 | + | 0.0112447i | ||||
\(757\) | −12.6519 | − | 10.6162i | −0.459843 | − | 0.385854i | 0.383230 | − | 0.923653i | \(-0.374812\pi\) |
−0.843073 | + | 0.537799i | \(0.819256\pi\) | |||||||
\(758\) | 9.39563 | + | 1.65670i | 0.341264 | + | 0.0601741i | ||||
\(759\) | 0.749527 | − | 1.80038i | 0.0272061 | − | 0.0653496i | ||||
\(760\) | −3.26188 | + | 0.463166i | −0.118321 | + | 0.0168008i | ||||
\(761\) | − | 19.1974i | − | 0.695906i | −0.937512 | − | 0.347953i | \(-0.886877\pi\) | ||
0.937512 | − | 0.347953i | \(-0.113123\pi\) | |||||||
\(762\) | −12.9964 | + | 20.3198i | −0.470811 | + | 0.736108i | ||||
\(763\) | 6.48211 | − | 7.72508i | 0.234668 | − | 0.279667i | ||||
\(764\) | −4.12705 | + | 11.3390i | −0.149311 | + | 0.410230i | ||||
\(765\) | −14.0206 | − | 6.59923i | −0.506914 | − | 0.238596i | ||||
\(766\) | 5.96084 | − | 5.00173i | 0.215374 | − | 0.180720i | ||||
\(767\) | −6.54145 | + | 3.77671i | −0.236198 | + | 0.136369i | ||||
\(768\) | 1.05194 | + | 1.37602i | 0.0379586 | + | 0.0496528i | ||||
\(769\) | −5.25863 | − | 29.8231i | −0.189631 | − | 1.07545i | −0.919860 | − | 0.392248i | \(-0.871698\pi\) |
0.730229 | − | 0.683203i | \(-0.239413\pi\) | |||||||
\(770\) | 0.196280 | + | 1.11316i | 0.00707343 | + | 0.0401154i | ||||
\(771\) | 0.0476157 | + | 0.0622851i | 0.00171484 | + | 0.00224314i | ||||
\(772\) | 2.89655 | − | 1.67232i | 0.104249 | − | 0.0601882i | ||||
\(773\) | −21.9958 | + | 18.4567i | −0.791134 | + | 0.663840i | −0.946026 | − | 0.324091i | \(-0.894942\pi\) |
0.154892 | + | 0.987931i | \(0.450497\pi\) | |||||||
\(774\) | −21.2115 | − | 9.98390i | −0.762433 | − | 0.358864i | ||||
\(775\) | −4.61619 | + | 12.6829i | −0.165818 | + | 0.455582i | ||||
\(776\) | 6.23204 | − | 7.42706i | 0.223717 | − | 0.266616i | ||||
\(777\) | −5.99177 | + | 9.36807i | −0.214953 | + | 0.336078i | ||||
\(778\) | − | 9.78591i | − | 0.350842i | ||||||
\(779\) | −21.6303 | − | 8.70339i | −0.774985 | − | 0.311831i | ||||
\(780\) | 0.326402 | − | 0.784023i | 0.0116871 | − | 0.0280725i | ||||
\(781\) | 0.0324458 | + | 0.00572106i | 0.00116100 | + | 0.000204716i | ||||
\(782\) | 6.13248 | + | 5.14576i | 0.219297 | + | 0.184012i | ||||
\(783\) | −41.7624 | + | 1.59828i | −1.49247 | + | 0.0571177i | ||||
\(784\) | 4.30306 | − | 1.56619i | 0.153681 | − | 0.0559352i | ||||
\(785\) | −0.103890 | − | 0.123812i | −0.00370800 | − | 0.00441903i | ||||
\(786\) | −2.48199 | − | 19.1175i | −0.0885297 | − | 0.681899i | ||||
\(787\) | 22.1812 | + | 12.8063i | 0.790673 | + | 0.456495i | 0.840200 | − | 0.542277i | \(-0.182438\pi\) |
−0.0495262 | + | 0.998773i | \(0.515771\pi\) | |||||||
\(788\) | 5.85748 | − | 1.03283i | 0.208664 | − | 0.0367931i | ||||
\(789\) | 2.07292 | − | 9.27161i | 0.0737980 | − | 0.330078i | ||||
\(790\) | 0.525093 | − | 0.909488i | 0.0186820 | − | 0.0323581i | ||||
\(791\) | 7.80951 | + | 13.5265i | 0.277674 | + | 0.480946i | ||||
\(792\) | −0.261618 | + | 2.87162i | −0.00929620 | + | 0.102039i | ||||
\(793\) | 2.40391 | + | 6.60469i | 0.0853653 | + | 0.234539i | ||||
\(794\) | −11.1113 | − | 4.04419i | −0.394326 | − | 0.143523i | ||||
\(795\) | 8.73625 | + | 16.8559i | 0.309843 | + | 0.597818i | ||||
\(796\) | 1.94088 | − | 11.0073i | 0.0687927 | − | 0.390143i | ||||
\(797\) | 32.4074 | 1.14793 | 0.573965 | − | 0.818880i | \(-0.305405\pi\) | ||||
0.573965 | + | 0.818880i | \(0.305405\pi\) | |||||||
\(798\) | 4.87522 | − | 10.6872i | 0.172581 | − | 0.378324i | ||||
\(799\) | −21.5817 | −0.763506 | ||||||||
\(800\) | −0.769038 | + | 4.36143i | −0.0271896 | + | 0.154200i | ||||
\(801\) | 1.53212 | + | 18.2667i | 0.0541348 | + | 0.645423i | ||||
\(802\) | 19.4319 | + | 7.07262i | 0.686163 | + | 0.249743i | ||||
\(803\) | 1.30650 | + | 3.58957i | 0.0461053 | + | 0.126673i | ||||
\(804\) | 15.4239 | − | 4.83275i | 0.543960 | − | 0.170438i | ||||
\(805\) | −0.688786 | − | 1.19301i | −0.0242765 | − | 0.0420482i | ||||
\(806\) | 0.988493 | − | 1.71212i | 0.0348182 | − | 0.0603069i | ||||
\(807\) | −3.31937 | − | 0.742136i | −0.116847 | − | 0.0261244i | ||||
\(808\) | −18.5299 | + | 3.26732i | −0.651880 | + | 0.114944i | ||||
\(809\) | 30.3938 | + | 17.5479i | 1.06859 | + | 0.616950i | 0.927796 | − | 0.373089i | \(-0.121701\pi\) |
0.140793 | + | 0.990039i | \(0.455035\pi\) | |||||||
\(810\) | 3.35890 | + | 5.91539i | 0.118020 | + | 0.207846i | ||||
\(811\) | 14.0733 | + | 16.7719i | 0.494181 | + | 0.588942i | 0.954276 | − | 0.298928i | \(-0.0966290\pi\) |
−0.460095 | + | 0.887870i | \(0.652185\pi\) | |||||||
\(812\) | −11.7594 | + | 4.28007i | −0.412674 | + | 0.150201i | ||||
\(813\) | 24.7659 | − | 26.9301i | 0.868577 | − | 0.944479i | ||||
\(814\) | 3.03833 | + | 2.54946i | 0.106493 | + | 0.0893585i | ||||
\(815\) | 11.1901 | + | 1.97312i | 0.391972 | + | 0.0691152i | ||||
\(816\) | −10.9276 | − | 4.54934i | −0.382542 | − | 0.159259i | ||||
\(817\) | 26.8121 | − | 21.0094i | 0.938035 | − | 0.735027i | ||||
\(818\) | 3.45002i | 0.120627i | ||||||||
\(819\) | 1.72785 | + | 2.48657i | 0.0603760 | + | 0.0868877i | ||||
\(820\) | 2.59875 | − | 3.09706i | 0.0907521 | − | 0.108154i | ||||
\(821\) | −4.83332 | + | 13.2794i | −0.168684 | + | 0.463455i | −0.995015 | − | 0.0997301i | \(-0.968202\pi\) |
0.826331 | + | 0.563185i | \(0.190424\pi\) | |||||||
\(822\) | 8.58792 | + | 0.390391i | 0.299538 | + | 0.0136165i | ||||
\(823\) | 11.4669 | − | 9.62189i | 0.399712 | − | 0.335398i | −0.420670 | − | 0.907214i | \(-0.638205\pi\) |
0.820382 | + | 0.571815i | \(0.193761\pi\) | |||||||
\(824\) | 9.92876 | − | 5.73237i | 0.345885 | − | 0.199697i | ||||
\(825\) | −5.85737 | + | 4.47785i | −0.203927 | + | 0.155899i | ||||
\(826\) | −3.14588 | − | 17.8411i | −0.109459 | − | 0.620773i | ||||
\(827\) | −3.63051 | − | 20.5896i | −0.126245 | − | 0.715972i | −0.980561 | − | 0.196217i | \(-0.937134\pi\) |
0.854315 | − | 0.519755i | \(-0.173977\pi\) | |||||||
\(828\) | −0.897369 | − | 3.39774i | −0.0311857 | − | 0.118080i | ||||
\(829\) | −12.1611 | + | 7.02120i | −0.422371 | + | 0.243856i | −0.696091 | − | 0.717953i | \(-0.745079\pi\) |
0.273720 | + | 0.961809i | \(0.411746\pi\) | |||||||
\(830\) | −7.01043 | + | 5.88245i | −0.243336 | + | 0.204183i | ||||
\(831\) | −0.616494 | + | 13.5618i | −0.0213859 | + | 0.470453i | ||||
\(832\) | 0.221871 | − | 0.609587i | 0.00769201 | − | 0.0211336i | ||||
\(833\) | −20.1155 | + | 23.9727i | −0.696960 | + | 0.830605i | ||||
\(834\) | −5.26097 | − | 3.36489i | −0.182173 | − | 0.116517i | ||||
\(835\) | 7.14241i | 0.247173i | ||||||||
\(836\) | −3.55618 | − | 2.21511i | −0.122993 | − | 0.0766113i | ||||
\(837\) | 5.98122 | + | 14.6626i | 0.206741 | + | 0.506815i | ||||
\(838\) | 24.9310 | + | 4.39601i | 0.861227 | + | 0.151857i | ||||
\(839\) | 42.8654 | + | 35.9683i | 1.47988 | + | 1.24176i | 0.906315 | + | 0.422603i | \(0.138884\pi\) |
0.573563 | + | 0.819162i | \(0.305561\pi\) | |||||||
\(840\) | 1.49927 | + | 1.37879i | 0.0517298 | + | 0.0475726i | ||||
\(841\) | −33.5383 | + | 12.2070i | −1.15649 | + | 0.420929i | ||||
\(842\) | 20.4536 | + | 24.3756i | 0.704876 | + | 0.840038i | ||||
\(843\) | 20.1183 | − | 2.61192i | 0.692910 | − | 0.0899592i | ||||
\(844\) | 18.4123 | + | 10.6303i | 0.633777 | + | 0.365911i | ||||
\(845\) | 9.36332 | − | 1.65101i | 0.322108 | − | 0.0567964i | ||||
\(846\) | 7.74114 | + | 5.46189i | 0.266146 | + | 0.187784i | ||||
\(847\) | 7.83867 | − | 13.5770i | 0.269340 | − | 0.466510i | ||||
\(848\) | 7.25107 | + | 12.5592i | 0.249003 | + | 0.431286i | ||||
\(849\) | −3.63558 | − | 11.6031i | −0.124773 | − | 0.398218i | ||||
\(850\) | −10.3515 | − | 28.4404i | −0.355052 | − | 0.975497i | ||||
\(851\) | −4.54230 | − | 1.65326i | −0.155708 | − | 0.0566731i | ||||
\(852\) | 0.0527108 | − | 0.0273195i | 0.00180584 | − | 0.000935950i | ||||
\(853\) | −7.55129 | + | 42.8255i | −0.258551 | + | 1.46632i | 0.528239 | + | 0.849096i | \(0.322853\pi\) |
−0.786790 | + | 0.617221i | \(0.788259\pi\) | |||||||
\(854\) | −16.8576 | −0.576854 | ||||||||
\(855\) | −9.87136 | + | 0.495925i | −0.337593 | + | 0.0169603i | ||||
\(856\) | 2.35652 | 0.0805441 | ||||||||
\(857\) | −8.77792 | + | 49.7820i | −0.299848 | + | 1.70052i | 0.346969 | + | 0.937877i | \(0.387211\pi\) |
−0.646817 | + | 0.762645i | \(0.723900\pi\) | |||||||
\(858\) | 0.958837 | − | 0.496955i | 0.0327341 | − | 0.0169658i | ||||
\(859\) | 23.3783 | + | 8.50899i | 0.797656 | + | 0.290323i | 0.708515 | − | 0.705696i | \(-0.249366\pi\) |
0.0891412 | + | 0.996019i | \(0.471588\pi\) | |||||||
\(860\) | 2.02015 | + | 5.55031i | 0.0688865 | + | 0.189264i | ||||
\(861\) | 4.30994 | + | 13.7554i | 0.146883 | + | 0.468782i | ||||
\(862\) | 16.4706 | + | 28.5280i | 0.560992 | + | 0.971667i | ||||
\(863\) | 16.9638 | − | 29.3822i | 0.577455 | − | 1.00018i | −0.418315 | − | 0.908302i | \(-0.637379\pi\) |
0.995770 | − | 0.0918798i | \(-0.0292876\pi\) | |||||||
\(864\) | 2.76827 | + | 4.39735i | 0.0941784 | + | 0.149601i | ||||
\(865\) | −10.0103 | + | 1.76509i | −0.340362 | + | 0.0600149i | ||||
\(866\) | −13.8300 | − | 7.98473i | −0.469961 | − | 0.271332i | ||||
\(867\) | 51.0187 | − | 6.62366i | 1.73269 | − | 0.224951i | ||||
\(868\) | 3.04789 | + | 3.63233i | 0.103452 | + | 0.123289i | ||||
\(869\) | 1.25495 | − | 0.456765i | 0.0425713 | − | 0.0154947i | ||||
\(870\) | 7.75040 | + | 7.12755i | 0.262763 | + | 0.241646i | ||||
\(871\) | −4.63739 | − | 3.89123i | −0.157132 | − | 0.131849i | ||||
\(872\) | −6.38297 | − | 1.12549i | −0.216155 | − | 0.0381139i | ||||
\(873\) | 20.6406 | − | 20.4930i | 0.698577 | − | 0.693583i | ||||
\(874\) | 4.99600 | + | 1.05450i | 0.168992 | + | 0.0356690i | ||||
\(875\) | 11.0881i | 0.374846i | ||||||||
\(876\) | 5.79895 | + | 3.70898i | 0.195928 | + | 0.125315i | ||||
\(877\) | 19.1891 | − | 22.8687i | 0.647971 | − | 0.772222i | −0.337636 | − | 0.941277i | \(-0.609627\pi\) |
0.985607 | + | 0.169055i | \(0.0540717\pi\) | |||||||
\(878\) | 10.6065 | − | 29.1410i | 0.357951 | − | 0.983463i | ||||
\(879\) | 0.203078 | − | 4.46736i | 0.00684966 | − | 0.150680i | ||||
\(880\) | 0.556520 | − | 0.466976i | 0.0187603 | − | 0.0157418i | ||||
\(881\) | 9.59448 | − | 5.53938i | 0.323246 | − | 0.186626i | −0.329592 | − | 0.944123i | \(-0.606911\pi\) |
0.652839 | + | 0.757497i | \(0.273578\pi\) | |||||||
\(882\) | 13.2822 | − | 3.50794i | 0.447236 | − | 0.118119i | ||||
\(883\) | 9.62988 | + | 54.6138i | 0.324071 | + | 1.83790i | 0.516122 | + | 0.856515i | \(0.327375\pi\) |
−0.192051 | + | 0.981385i | \(0.561514\pi\) | |||||||
\(884\) | 0.769825 | + | 4.36589i | 0.0258920 | + | 0.146841i | ||||
\(885\) | −12.1100 | + | 9.25786i | −0.407073 | + | 0.311200i | ||||
\(886\) | 16.8799 | − | 9.74561i | 0.567091 | − | 0.327410i | ||||
\(887\) | −19.9548 | + | 16.7441i | −0.670017 | + | 0.562211i | −0.913070 | − | 0.407802i | \(-0.866295\pi\) |
0.243054 | + | 0.970013i | \(0.421851\pi\) | |||||||
\(888\) | 7.13990 | + | 0.324567i | 0.239599 | + | 0.0108918i | ||||
\(889\) | −7.41064 | + | 20.3606i | −0.248545 | + | 0.682871i | ||||
\(890\) | 2.96863 | − | 3.53787i | 0.0995086 | − | 0.118590i | ||||
\(891\) | −1.56324 | + | 8.50812i | −0.0523703 | + | 0.285033i | ||||
\(892\) | − | 13.7765i | − | 0.461271i | ||||||
\(893\) | −12.1450 | + | 6.47980i | −0.406416 | + | 0.216838i | ||||
\(894\) | −30.6400 | − | 12.7559i | −1.02475 | − | 0.426622i | ||||
\(895\) | −12.4254 | − | 2.19093i | −0.415334 | − | 0.0732346i | ||||
\(896\) | 1.19188 | + | 1.00010i | 0.0398178 | + | 0.0334111i | ||||
\(897\) | −0.890949 | + | 0.968805i | −0.0297479 | + | 0.0323475i | ||||
\(898\) | 12.4342 | − | 4.52566i | 0.414933 | − | 0.151023i | ||||
\(899\) | 15.7559 | + | 18.7771i | 0.525488 | + | 0.626252i | ||||
\(900\) | −3.48472 | + | 12.8210i | −0.116157 | + | 0.427367i | ||||
\(901\) | −85.8291 | − | 49.5535i | −2.85938 | − | 1.65086i | ||||
\(902\) | 5.06317 | − | 0.892773i | 0.168585 | − | 0.0297261i | ||||
\(903\) | −20.5519 | − | 4.59493i | −0.683924 | − | 0.152910i | ||||
\(904\) | 5.01933 | − | 8.69374i | 0.166940 | − | 0.289149i | ||||
\(905\) | −3.85274 | − | 6.67314i | −0.128069 | − | 0.221823i | ||||
\(906\) | 31.8373 | − | 9.97551i | 1.05772 | − | 0.331414i | ||||
\(907\) | 5.92780 | + | 16.2865i | 0.196830 | + | 0.540785i | 0.998365 | − | 0.0571627i | \(-0.0182054\pi\) |
−0.801535 | + | 0.597947i | \(0.795983\pi\) | |||||||
\(908\) | 15.2123 | + | 5.53684i | 0.504839 | + | 0.183746i | ||||
\(909\) | −56.2498 | + | 4.71795i | −1.86569 | + | 0.156484i | ||||
\(910\) | 0.132472 | − | 0.751286i | 0.00439140 | − | 0.0249049i | ||||
\(911\) | −35.0957 | −1.16277 | −0.581386 | − | 0.813628i | \(-0.697489\pi\) | ||||
−0.581386 | + | 0.813628i | \(0.697489\pi\) | |||||||
\(912\) | −7.51534 | + | 0.720842i | −0.248858 | + | 0.0238695i | ||||
\(913\) | −11.6376 | −0.385150 | ||||||||
\(914\) | 2.67484 | − | 15.1698i | 0.0884758 | − | 0.501771i | ||||
\(915\) | 6.52694 | + | 12.5932i | 0.215774 | + | 0.416320i | ||||
\(916\) | 24.0995 | + | 8.77151i | 0.796271 | + | 0.289819i | ||||
\(917\) | −5.92284 | − | 16.2729i | −0.195589 | − | 0.537377i | ||||
\(918\) | −31.4093 | − | 16.5661i | −1.03666 | − | 0.546762i | ||||
\(919\) | −15.0221 | − | 26.0190i | −0.495533 | − | 0.858288i | 0.504454 | − | 0.863439i | \(-0.331694\pi\) |
−0.999987 | + | 0.00515052i | \(0.998361\pi\) | |||||||
\(920\) | −0.442697 | + | 0.766774i | −0.0145953 | + | 0.0252798i | ||||
\(921\) | −0.744494 | + | 3.32992i | −0.0245319 | + | 0.109725i | ||||
\(922\) | −16.2707 | + | 2.86896i | −0.535847 | + | 0.0944843i | ||||
\(923\) | −0.0192569 | − | 0.0111180i | −0.000633848 | − | 0.000365952i | ||||
\(924\) | 0.333487 | + | 2.56868i | 0.0109709 | + | 0.0845033i | ||||
\(925\) | 11.7469 | + | 13.9995i | 0.386237 | + | 0.460300i | ||||
\(926\) | 8.81750 | − | 3.20931i | 0.289761 | − | 0.105464i | ||||
\(927\) | 31.2237 | − | 14.4237i | 1.02552 | − | 0.473737i | ||||
\(928\) | 6.16134 | + | 5.16998i | 0.202256 | + | 0.169713i | ||||
\(929\) | −32.1458 | − | 5.66817i | −1.05467 | − | 0.185967i | −0.380680 | − | 0.924707i | \(-0.624310\pi\) |
−0.673990 | + | 0.738740i | \(0.735421\pi\) | |||||||
\(930\) | 1.53340 | − | 3.68326i | 0.0502823 | − | 0.120779i | ||||
\(931\) | −4.12218 | + | 19.5301i | −0.135099 | + | 0.640072i | ||||
\(932\) | 11.6399i | 0.381276i | ||||||||
\(933\) | −24.2367 | + | 37.8939i | −0.793475 | + | 1.24059i | ||||
\(934\) | 13.7652 | − | 16.4047i | 0.450411 | − | 0.536778i | ||||
\(935\) | −1.69805 | + | 4.66536i | −0.0555322 | + | 0.152573i | ||||
\(936\) | 0.828791 | − | 1.76083i | 0.0270899 | − | 0.0575544i | ||||
\(937\) | −24.8914 | + | 20.8863i | −0.813165 | + | 0.682327i | −0.951361 | − | 0.308078i | \(-0.900314\pi\) |
0.138196 | + | 0.990405i | \(0.455870\pi\) | |||||||
\(938\) | 12.5741 | − | 7.25968i | 0.410560 | − | 0.237037i | ||||
\(939\) | −14.1053 | − | 18.4508i | −0.460308 | − | 0.602119i | ||||
\(940\) | −0.414487 | − | 2.35067i | −0.0135191 | − | 0.0766705i | ||||
\(941\) | −2.50659 | − | 14.2156i | −0.0817126 | − | 0.463415i | −0.998018 | − | 0.0629344i | \(-0.979954\pi\) |
0.916305 | − | 0.400481i | \(-0.131157\pi\) | |||||||
\(942\) | −0.224943 | − | 0.294242i | −0.00732903 | − | 0.00958693i | ||||
\(943\) | −5.42639 | + | 3.13293i | −0.176708 | + | 0.102022i | ||||
\(944\) | −8.91965 | + | 7.48447i | −0.290310 | + | 0.243599i | ||||
\(945\) | 4.10398 | + | 4.52738i | 0.133502 | + | 0.147276i | ||||
\(946\) | −2.56896 | + | 7.05816i | −0.0835241 | + | 0.229481i | ||||
\(947\) | 28.2988 | − | 33.7252i | 0.919588 | − | 1.09592i | −0.0755210 | − | 0.997144i | \(-0.524062\pi\) |
0.995109 | − | 0.0987786i | \(-0.0314936\pi\) | |||||||
\(948\) | 1.29669 | − | 2.02737i | 0.0421147 | − | 0.0658459i | ||||
\(949\) | − | 2.57814i | − | 0.0836899i | ||||||
\(950\) | −14.3643 | − | 12.8967i | −0.466039 | − | 0.418423i | ||||
\(951\) | 20.2527 | − | 48.6473i | 0.656738 | − | 1.57750i | ||||
\(952\) | −10.4713 | − | 1.84637i | −0.339377 | − | 0.0598413i | ||||
\(953\) | −15.8037 | − | 13.2609i | −0.511932 | − | 0.429562i | 0.349877 | − | 0.936796i | \(-0.386223\pi\) |
−0.861808 | + | 0.507234i | \(0.830668\pi\) | |||||||
\(954\) | 18.2450 | + | 39.4959i | 0.590705 | + | 1.27873i | ||||
\(955\) | 8.57039 | − | 3.11937i | 0.277331 | − | 0.100940i | ||||
\(956\) | −9.78488 | − | 11.6612i | −0.316465 | − | 0.377149i | ||||
\(957\) | 1.72394 | + | 13.2786i | 0.0557270 | + | 0.429237i | ||||
\(958\) | −28.9075 | − | 16.6898i | −0.933960 | − | 0.539222i | ||||
\(959\) | 7.60509 | − | 1.34098i | 0.245581 | − | 0.0433026i | ||||
\(960\) | 0.285642 | − | 1.27760i | 0.00921907 | − | 0.0412344i | ||||
\(961\) | −10.8562 | + | 18.8034i | −0.350199 | + | 0.606562i | ||||
\(962\) | −1.33844 | − | 2.31825i | −0.0431531 | − | 0.0747433i | ||||
\(963\) | 7.04039 | + | 0.641413i | 0.226873 | + | 0.0206692i | ||||
\(964\) | −5.19328 | − | 14.2684i | −0.167264 | − | 0.459554i | ||||
\(965\) | −2.37554 | − | 0.864625i | −0.0764713 | − | 0.0278333i | ||||
\(966\) | −1.45263 | − | 2.80274i | −0.0467376 | − | 0.0901766i | ||||
\(967\) | −7.05922 | + | 40.0348i | −0.227009 | + | 1.28743i | 0.631798 | + | 0.775133i | \(0.282317\pi\) |
−0.858807 | + | 0.512300i | \(0.828794\pi\) | |||||||
\(968\) | −10.0761 | −0.323860 | ||||||||
\(969\) | 42.0155 | − | 29.9459i | 1.34973 | − | 0.962003i | ||||
\(970\) | −7.32806 | −0.235290 | ||||||||
\(971\) | −0.764165 | + | 4.33380i | −0.0245232 | + | 0.139078i | −0.994611 | − | 0.103676i | \(-0.966940\pi\) |
0.970088 | + | 0.242754i | \(0.0780507\pi\) | |||||||
\(972\) | 7.07365 | + | 13.8911i | 0.226887 | + | 0.445558i | ||||
\(973\) | −5.27154 | − | 1.91868i | −0.168998 | − | 0.0615101i | ||||
\(974\) | −11.4431 | − | 31.4398i | −0.366662 | − | 1.00740i | ||||
\(975\) | 4.74846 | − | 1.48782i | 0.152072 | − | 0.0476485i | ||||
\(976\) | 5.41735 | + | 9.38312i | 0.173405 | + | 0.300346i | ||||
\(977\) | −0.538610 | + | 0.932899i | −0.0172317 | + | 0.0298461i | −0.874513 | − | 0.485003i | \(-0.838819\pi\) |
0.857281 | + | 0.514849i | \(0.172152\pi\) | |||||||
\(978\) | 25.4112 | + | 5.68136i | 0.812560 | + | 0.181670i | ||||
\(979\) | 5.78381 | − | 1.01984i | 0.184851 | − | 0.0325943i | ||||
\(980\) | −2.99743 | − | 1.73056i | −0.0957492 | − | 0.0552809i | ||||
\(981\) | −18.7636 | − | 5.09990i | −0.599075 | − | 0.162827i | ||||
\(982\) | −0.635055 | − | 0.756829i | −0.0202654 | − | 0.0241514i | ||||
\(983\) | −4.78675 | + | 1.74223i | −0.152674 | + | 0.0555687i | −0.417227 | − | 0.908803i | \(-0.636998\pi\) |
0.264553 | + | 0.964371i | \(0.414776\pi\) | |||||||
\(984\) | 6.27137 | − | 6.81940i | 0.199924 | − | 0.217395i | ||||
\(985\) | −3.44381 | − | 2.88970i | −0.109729 | − | 0.0920736i | ||||
\(986\) | −54.1308 | − | 9.54472i | −1.72388 | − | 0.303966i | ||||
\(987\) | 7.85678 | + | 3.27091i | 0.250084 | + | 0.104114i | ||||
\(988\) | 1.74405 | + | 2.22574i | 0.0554856 | + | 0.0708103i | ||||
\(989\) | − | 9.15410i | − | 0.291083i | ||||||
\(990\) | 1.78978 | − | 1.24367i | 0.0568829 | − | 0.0395265i | ||||
\(991\) | −7.72397 | + | 9.20507i | −0.245360 | + | 0.292409i | −0.874643 | − | 0.484768i | \(-0.838904\pi\) |
0.629283 | + | 0.777176i | \(0.283349\pi\) | |||||||
\(992\) | 1.04233 | − | 2.86378i | 0.0330940 | − | 0.0909251i | ||||
\(993\) | −18.4213 | − | 0.837398i | −0.584581 | − | 0.0265740i | ||||
\(994\) | 0.0408543 | − | 0.0342808i | 0.00129582 | − | 0.00108732i | ||||
\(995\) | −7.31621 | + | 4.22401i | −0.231939 | + | 0.133910i | ||||
\(996\) | −16.6605 | + | 12.7366i | −0.527908 | + | 0.403576i | ||||
\(997\) | −6.23994 | − | 35.3885i | −0.197621 | − | 1.12076i | −0.908637 | − | 0.417588i | \(-0.862876\pi\) |
0.711016 | − | 0.703176i | \(-0.248235\pi\) | |||||||
\(998\) | −0.760240 | − | 4.31153i | −0.0240650 | − | 0.136479i | ||||
\(999\) | 21.2430 | + | 2.91307i | 0.672099 | + | 0.0921655i |
(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 | 114.2.l.a.59.3 | yes | 18 | |
3.2 | odd | 2 | 114.2.l.b.59.2 | yes | 18 | ||
4.3 | odd | 2 | 912.2.cc.d.401.1 | 18 | |||
12.11 | even | 2 | 912.2.cc.c.401.2 | 18 | |||
19.10 | odd | 18 | 114.2.l.b.29.2 | yes | 18 | ||
57.29 | even | 18 | inner | 114.2.l.a.29.3 | ✓ | 18 | |
76.67 | even | 18 | 912.2.cc.c.257.2 | 18 | |||
228.143 | odd | 18 | 912.2.cc.d.257.1 | 18 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
114.2.l.a.29.3 | ✓ | 18 | 57.29 | even | 18 | inner | |
114.2.l.a.59.3 | yes | 18 | 1.1 | even | 1 | trivial | |
114.2.l.b.29.2 | yes | 18 | 19.10 | odd | 18 | ||
114.2.l.b.59.2 | yes | 18 | 3.2 | odd | 2 | ||
912.2.cc.c.257.2 | 18 | 76.67 | even | 18 | |||
912.2.cc.c.401.2 | 18 | 12.11 | even | 2 | |||
912.2.cc.d.257.1 | 18 | 228.143 | odd | 18 | |||
912.2.cc.d.401.1 | 18 | 4.3 | odd | 2 |