Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [547,2,Mod(11,547)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(547, base_ring=CyclotomicField(78))
chi = DirichletCharacter(H, H._module([10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("547.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 547 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 547.j (of order \(39\), degree \(24\), 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: | \(4.36781699056\) |
Analytic rank: | \(0\) |
Dimension: | \(1080\) |
Relative dimension: | \(45\) over \(\Q(\zeta_{39})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{39}]$ |
Embedding invariants
Embedding label | 11.9 | ||
Character | \(\chi\) | \(=\) | 547.11 |
Dual form | 547.2.j.a.199.9 |
$q$-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 \(\left(\mathbb{Z}/547\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{5}{39}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.76793 | − | 0.753245i | −1.25012 | − | 0.532625i | −0.337455 | − | 0.941342i | \(-0.609566\pi\) |
−0.912661 | + | 0.408717i | \(0.865976\pi\) | |||||||
\(3\) | −2.36967 | −1.36813 | −0.684063 | − | 0.729422i | \(-0.739789\pi\) | ||||
−0.684063 | + | 0.729422i | \(0.739789\pi\) | |||||||
\(4\) | 1.17275 | + | 1.22097i | 0.586377 | + | 0.610483i | ||||
\(5\) | 4.05563 | − | 0.659104i | 1.81373 | − | 0.294760i | 0.843535 | − | 0.537074i | \(-0.180470\pi\) |
0.970198 | + | 0.242313i | \(0.0779062\pi\) | |||||||
\(6\) | 4.18940 | + | 1.78494i | 1.71032 | + | 0.728698i | ||||
\(7\) | −3.52772 | − | 2.65091i | −1.33335 | − | 1.00195i | −0.998211 | − | 0.0597827i | \(-0.980959\pi\) |
−0.335142 | − | 0.942168i | \(-0.608784\pi\) | |||||||
\(8\) | 0.209233 | + | 0.551702i | 0.0739750 | + | 0.195056i | ||||
\(9\) | 2.61531 | 0.871771 | ||||||||
\(10\) | −7.66654 | − | 1.88963i | −2.42437 | − | 0.597554i | ||||
\(11\) | 3.44111 | − | 0.277795i | 1.03753 | − | 0.0837583i | 0.450057 | − | 0.893000i | \(-0.351404\pi\) |
0.587476 | + | 0.809242i | \(0.300122\pi\) | |||||||
\(12\) | −2.77903 | − | 2.89328i | −0.802238 | − | 0.835218i | ||||
\(13\) | 1.34958 | − | 2.33755i | 0.374307 | − | 0.648318i | −0.615916 | − | 0.787812i | \(-0.711214\pi\) |
0.990223 | + | 0.139493i | \(0.0445474\pi\) | |||||||
\(14\) | 4.23998 | + | 7.34387i | 1.13318 | + | 1.96273i | ||||
\(15\) | −9.61049 | + | 1.56186i | −2.48142 | + | 0.403270i | ||||
\(16\) | 0.181994 | − | 4.51614i | 0.0454986 | − | 1.12904i | ||||
\(17\) | 2.25816 | + | 4.75896i | 0.547683 | + | 1.15422i | 0.968944 | + | 0.247279i | \(0.0795364\pi\) |
−0.421261 | + | 0.906940i | \(0.638412\pi\) | |||||||
\(18\) | −4.62369 | − | 1.96997i | −1.08982 | − | 0.464327i | ||||
\(19\) | 0.271519 | + | 6.73766i | 0.0622906 | + | 1.54573i | 0.664439 | + | 0.747342i | \(0.268670\pi\) |
−0.602149 | + | 0.798384i | \(0.705689\pi\) | |||||||
\(20\) | 5.56100 | + | 4.17882i | 1.24348 | + | 0.934412i | ||||
\(21\) | 8.35952 | + | 6.28177i | 1.82420 | + | 1.37080i | ||||
\(22\) | −6.29289 | − | 2.10087i | −1.34165 | − | 0.447908i | ||||
\(23\) | 0.0237160 | − | 0.116169i | 0.00494512 | − | 0.0242228i | −0.977243 | − | 0.212122i | \(-0.931963\pi\) |
0.982188 | + | 0.187899i | \(0.0601678\pi\) | |||||||
\(24\) | −0.495812 | − | 1.30735i | −0.101207 | − | 0.266861i | ||||
\(25\) | 11.2710 | − | 3.76283i | 2.25421 | − | 0.752565i | ||||
\(26\) | −4.14671 | + | 3.11605i | −0.813237 | + | 0.611108i | ||||
\(27\) | 0.911577 | 0.175433 | ||||||||
\(28\) | −0.900477 | − | 7.41609i | −0.170174 | − | 1.40151i | ||||
\(29\) | 3.41989 | − | 3.02976i | 0.635057 | − | 0.562612i | −0.282970 | − | 0.959129i | \(-0.591320\pi\) |
0.918027 | + | 0.396517i | \(0.129781\pi\) | |||||||
\(30\) | 18.1671 | + | 4.47780i | 3.31685 | + | 0.817530i | ||||
\(31\) | −2.08609 | + | 1.09486i | −0.374673 | + | 0.196643i | −0.641539 | − | 0.767090i | \(-0.721704\pi\) |
0.266867 | + | 0.963733i | \(0.414012\pi\) | |||||||
\(32\) | −3.21762 | + | 6.78099i | −0.568800 | + | 1.19872i | ||||
\(33\) | −8.15427 | + | 0.658281i | −1.41948 | + | 0.114592i | ||||
\(34\) | −0.407599 | − | 10.1145i | −0.0699027 | − | 1.73462i | ||||
\(35\) | −16.0544 | − | 8.42598i | −2.71368 | − | 1.42425i | ||||
\(36\) | 3.06712 | + | 3.19321i | 0.511186 | + | 0.532201i | ||||
\(37\) | −1.22209 | − | 5.98621i | −0.200911 | − | 0.984127i | −0.947724 | − | 0.319093i | \(-0.896622\pi\) |
0.746813 | − | 0.665035i | \(-0.231583\pi\) | |||||||
\(38\) | 4.59509 | − | 12.1162i | 0.745421 | − | 1.96551i | ||||
\(39\) | −3.19806 | + | 5.53920i | −0.512099 | + | 0.886982i | ||||
\(40\) | 1.21220 | + | 2.09959i | 0.191666 | + | 0.331975i | ||||
\(41\) | 3.92003 | − | 6.78970i | 0.612206 | − | 1.06037i | −0.378661 | − | 0.925535i | \(-0.623615\pi\) |
0.990868 | − | 0.134837i | \(-0.0430512\pi\) | |||||||
\(42\) | −10.0473 | − | 17.4025i | −1.55034 | − | 2.68527i | ||||
\(43\) | −0.0165853 | + | 0.0572590i | −0.00252923 | + | 0.00873192i | −0.961773 | − | 0.273849i | \(-0.911703\pi\) |
0.959244 | + | 0.282581i | \(0.0911904\pi\) | |||||||
\(44\) | 4.37475 | + | 3.87569i | 0.659518 | + | 0.584282i | ||||
\(45\) | 10.6067 | − | 1.72376i | 1.58116 | − | 0.256964i | ||||
\(46\) | −0.129432 | + | 0.187514i | −0.0190836 | + | 0.0276474i | ||||
\(47\) | −3.29679 | − | 1.10063i | −0.480887 | − | 0.160544i | 0.0658817 | − | 0.997827i | \(-0.479014\pi\) |
−0.546768 | + | 0.837284i | \(0.684142\pi\) | |||||||
\(48\) | −0.431266 | + | 10.7017i | −0.0622479 | + | 1.54466i | ||||
\(49\) | 3.46997 | + | 11.9797i | 0.495710 | + | 1.71139i | ||||
\(50\) | −22.7608 | − | 1.83744i | −3.21886 | − | 0.259853i | ||||
\(51\) | −5.35108 | − | 11.2772i | −0.749301 | − | 1.57912i | ||||
\(52\) | 4.43679 | − | 1.09357i | 0.615272 | − | 0.151651i | ||||
\(53\) | −8.79674 | − | 10.7741i | −1.20833 | − | 1.47993i | −0.833214 | − | 0.552950i | \(-0.813502\pi\) |
−0.375111 | − | 0.926980i | \(-0.622395\pi\) | |||||||
\(54\) | −1.61161 | − | 0.686641i | −0.219312 | − | 0.0934400i | ||||
\(55\) | 13.7728 | − | 3.39468i | 1.85712 | − | 0.457739i | ||||
\(56\) | 0.724397 | − | 2.50091i | 0.0968016 | − | 0.334198i | ||||
\(57\) | −0.643408 | − | 15.9660i | −0.0852215 | − | 2.11475i | ||||
\(58\) | −8.32827 | + | 2.78039i | −1.09356 | + | 0.365083i | ||||
\(59\) | −0.00602554 | + | 0.149522i | −0.000784459 | + | 0.0194661i | −0.999534 | − | 0.0305310i | \(-0.990280\pi\) |
0.998749 | + | 0.0499971i | \(0.0159212\pi\) | |||||||
\(60\) | −13.1777 | − | 9.90240i | −1.70123 | − | 1.27839i | ||||
\(61\) | −3.50360 | − | 1.49275i | −0.448590 | − | 0.191126i | 0.155844 | − | 0.987782i | \(-0.450190\pi\) |
−0.604434 | + | 0.796655i | \(0.706601\pi\) | |||||||
\(62\) | 4.51276 | − | 0.364308i | 0.573121 | − | 0.0462671i | ||||
\(63\) | −9.22610 | − | 6.93297i | −1.16238 | − | 0.873471i | ||||
\(64\) | 4.03003 | − | 3.57029i | 0.503753 | − | 0.446287i | ||||
\(65\) | 3.93272 | − | 10.3697i | 0.487794 | − | 1.28621i | ||||
\(66\) | 14.9120 | + | 4.97837i | 1.83555 | + | 0.612795i | ||||
\(67\) | 3.06774 | − | 10.5911i | 0.374784 | − | 1.29391i | −0.522570 | − | 0.852596i | \(-0.675027\pi\) |
0.897355 | − | 0.441310i | \(-0.145486\pi\) | |||||||
\(68\) | −3.16227 | + | 8.33822i | −0.383482 | + | 1.01116i | ||||
\(69\) | −0.0561989 | + | 0.275281i | −0.00676556 | + | 0.0331399i | ||||
\(70\) | 22.0362 | + | 26.9894i | 2.63383 | + | 3.22585i | ||||
\(71\) | 11.1881 | − | 7.07495i | 1.32779 | − | 0.839642i | 0.333131 | − | 0.942881i | \(-0.391895\pi\) |
0.994657 | + | 0.103239i | \(0.0329207\pi\) | |||||||
\(72\) | 0.547209 | + | 1.44287i | 0.0644893 | + | 0.170044i | ||||
\(73\) | 4.24422 | + | 0.689753i | 0.496748 | + | 0.0807295i | 0.403624 | − | 0.914925i | \(-0.367750\pi\) |
0.0931245 | + | 0.995654i | \(0.470315\pi\) | |||||||
\(74\) | −2.34851 | + | 11.5037i | −0.273008 | + | 1.33728i | ||||
\(75\) | −26.7086 | + | 8.91664i | −3.08404 | + | 1.02960i | ||||
\(76\) | −7.90803 | + | 8.23313i | −0.907113 | + | 0.944405i | ||||
\(77\) | −12.8757 | − | 8.14209i | −1.46732 | − | 0.927877i | ||||
\(78\) | 9.82632 | − | 7.38400i | 1.11261 | − | 0.836074i | ||||
\(79\) | 10.5025 | − | 2.58865i | 1.18163 | − | 0.291245i | 0.400904 | − | 0.916120i | \(-0.368696\pi\) |
0.780725 | + | 0.624875i | \(0.214850\pi\) | |||||||
\(80\) | −2.23851 | − | 18.4358i | −0.250273 | − | 2.06118i | ||||
\(81\) | −10.0061 | −1.11179 | ||||||||
\(82\) | −12.0447 | + | 9.05097i | −1.33011 | + | 0.999513i | ||||
\(83\) | 4.90602 | + | 6.00878i | 0.538506 | + | 0.659550i | 0.970153 | − | 0.242493i | \(-0.0779650\pi\) |
−0.431648 | + | 0.902042i | \(0.642068\pi\) | |||||||
\(84\) | 2.13383 | + | 17.5737i | 0.232820 | + | 1.91744i | ||||
\(85\) | 12.2949 | + | 17.8122i | 1.33357 | + | 1.93201i | ||||
\(86\) | 0.0724517 | − | 0.0887373i | 0.00781267 | − | 0.00956878i | ||||
\(87\) | −8.10399 | + | 7.17951i | −0.868839 | + | 0.769724i | ||||
\(88\) | 0.873253 | + | 1.84034i | 0.0930890 | + | 0.196181i | ||||
\(89\) | −0.677349 | + | 5.57847i | −0.0717989 | + | 0.591317i | 0.911759 | + | 0.410725i | \(0.134724\pi\) |
−0.983558 | + | 0.180592i | \(0.942199\pi\) | |||||||
\(90\) | −20.0504 | − | 4.94198i | −2.11350 | − | 0.520931i | ||||
\(91\) | −10.9576 | + | 4.66859i | −1.14867 | + | 0.489401i | ||||
\(92\) | 0.169651 | − | 0.107281i | 0.0176873 | − | 0.0111848i | ||||
\(93\) | 4.94333 | − | 2.59446i | 0.512600 | − | 0.269033i | ||||
\(94\) | 4.99946 | + | 4.42913i | 0.515655 | + | 0.456830i | ||||
\(95\) | 5.54200 | + | 27.1465i | 0.568597 | + | 2.78517i | ||||
\(96\) | 7.62468 | − | 16.0687i | 0.778191 | − | 1.64000i | ||||
\(97\) | −5.83993 | − | 0.471448i | −0.592955 | − | 0.0478683i | −0.219653 | − | 0.975578i | \(-0.570493\pi\) |
−0.373302 | + | 0.927710i | \(0.621775\pi\) | |||||||
\(98\) | 2.88900 | − | 23.7931i | 0.291833 | − | 2.40346i | ||||
\(99\) | 8.99958 | − | 0.726521i | 0.904492 | − | 0.0730181i | ||||
\(100\) | 17.8124 | + | 9.34868i | 1.78124 | + | 0.934868i | ||||
\(101\) | 3.32598 | + | 8.76989i | 0.330947 | + | 0.872636i | 0.992445 | + | 0.122689i | \(0.0391518\pi\) |
−0.661498 | + | 0.749947i | \(0.730079\pi\) | |||||||
\(102\) | 0.965873 | + | 23.9679i | 0.0956357 | + | 2.37318i | ||||
\(103\) | 1.40062 | − | 2.02915i | 0.138008 | − | 0.199939i | −0.747886 | − | 0.663827i | \(-0.768931\pi\) |
0.885893 | + | 0.463889i | \(0.153546\pi\) | |||||||
\(104\) | 1.57200 | + | 0.255476i | 0.154148 | + | 0.0250514i | ||||
\(105\) | 38.0435 | + | 19.9668i | 3.71266 | + | 1.94856i | ||||
\(106\) | 7.43653 | + | 25.6739i | 0.722300 | + | 2.49367i | ||||
\(107\) | −8.25891 | − | 11.9651i | −0.798419 | − | 1.15671i | −0.984708 | − | 0.174214i | \(-0.944262\pi\) |
0.186289 | − | 0.982495i | \(-0.440354\pi\) | |||||||
\(108\) | 1.06905 | + | 1.11300i | 0.102870 | + | 0.107099i | ||||
\(109\) | −5.12596 | − | 3.24146i | −0.490978 | − | 0.310476i | 0.265935 | − | 0.963991i | \(-0.414319\pi\) |
−0.756914 | + | 0.653515i | \(0.773294\pi\) | |||||||
\(110\) | −26.9063 | − | 4.37270i | −2.56542 | − | 0.416921i | ||||
\(111\) | 2.89595 | + | 14.1853i | 0.274872 | + | 1.34641i | ||||
\(112\) | −12.6139 | + | 15.4492i | −1.19190 | + | 1.45982i | ||||
\(113\) | −0.368402 | − | 0.232963i | −0.0346563 | − | 0.0219153i | 0.517025 | − | 0.855970i | \(-0.327039\pi\) |
−0.551682 | + | 0.834055i | \(0.686014\pi\) | |||||||
\(114\) | −10.8888 | + | 28.7114i | −1.01983 | + | 2.68907i | ||||
\(115\) | 0.0196161 | − | 0.486768i | 0.00182921 | − | 0.0453913i | ||||
\(116\) | 7.70991 | + | 0.622408i | 0.715847 | + | 0.0577892i | ||||
\(117\) | 3.52958 | − | 6.11342i | 0.326310 | − | 0.565185i | ||||
\(118\) | 0.123280 | − | 0.259806i | 0.0113488 | − | 0.0239171i | ||||
\(119\) | 4.64944 | − | 22.7745i | 0.426214 | − | 2.08773i | ||||
\(120\) | −2.87251 | − | 4.97533i | −0.262223 | − | 0.454183i | ||||
\(121\) | 0.906500 | − | 0.147321i | 0.0824091 | − | 0.0133928i | ||||
\(122\) | 5.06972 | + | 5.27814i | 0.458991 | + | 0.477860i | ||||
\(123\) | −9.28917 | + | 16.0893i | −0.837576 | + | 1.45072i | ||||
\(124\) | −3.78326 | − | 1.26304i | −0.339747 | − | 0.113424i | ||||
\(125\) | 25.0401 | − | 13.1421i | 2.23966 | − | 1.17546i | ||||
\(126\) | 11.0889 | + | 19.2065i | 0.987877 | + | 1.71105i | ||||
\(127\) | 2.75853 | + | 9.52355i | 0.244780 | + | 0.845078i | 0.984977 | + | 0.172688i | \(0.0552451\pi\) |
−0.740197 | + | 0.672390i | \(0.765268\pi\) | |||||||
\(128\) | 4.42467 | − | 1.47717i | 0.391089 | − | 0.130565i | ||||
\(129\) | 0.0393016 | − | 0.135685i | 0.00346031 | − | 0.0119464i | ||||
\(130\) | −14.7637 | + | 15.3707i | −1.29487 | + | 1.34810i | ||||
\(131\) | −10.6420 | − | 15.4176i | −0.929799 | − | 1.34705i | −0.937836 | − | 0.347079i | \(-0.887174\pi\) |
0.00803710 | − | 0.999968i | \(-0.497442\pi\) | |||||||
\(132\) | −10.3667 | − | 9.18409i | −0.902304 | − | 0.799372i | ||||
\(133\) | 16.9031 | − | 24.4884i | 1.46569 | − | 2.12341i | ||||
\(134\) | −13.4012 | + | 16.4135i | −1.15769 | + | 1.41791i | ||||
\(135\) | 3.69702 | − | 0.600824i | 0.318189 | − | 0.0517107i | ||||
\(136\) | −2.15305 | + | 2.24156i | −0.184622 | + | 0.192212i | ||||
\(137\) | −10.1108 | + | 10.5264i | −0.863822 | + | 0.899334i | −0.995766 | − | 0.0919234i | \(-0.970698\pi\) |
0.131944 | + | 0.991257i | \(0.457878\pi\) | |||||||
\(138\) | 0.306709 | − | 0.444345i | 0.0261088 | − | 0.0378252i | ||||
\(139\) | 8.95619 | − | 9.32438i | 0.759654 | − | 0.790884i | −0.223297 | − | 0.974750i | \(-0.571682\pi\) |
0.982951 | + | 0.183867i | \(0.0588615\pi\) | |||||||
\(140\) | −8.53998 | − | 29.4834i | −0.721760 | − | 2.49180i | ||||
\(141\) | 7.81230 | + | 2.60813i | 0.657914 | + | 0.219644i | ||||
\(142\) | −25.1090 | + | 4.08061i | −2.10710 | + | 0.342437i | ||||
\(143\) | 3.99470 | − | 8.41865i | 0.334054 | − | 0.704003i | ||||
\(144\) | 0.475972 | − | 11.8111i | 0.0396644 | − | 0.984261i | ||||
\(145\) | 11.8729 | − | 14.5416i | 0.985989 | − | 1.20762i | ||||
\(146\) | −6.98394 | − | 4.41637i | −0.577995 | − | 0.365502i | ||||
\(147\) | −8.22267 | − | 28.3879i | −0.678194 | − | 2.34140i | ||||
\(148\) | 5.87574 | − | 8.51248i | 0.482983 | − | 0.699722i | ||||
\(149\) | 10.2550 | + | 5.38226i | 0.840126 | + | 0.440932i | 0.829162 | − | 0.559008i | \(-0.188818\pi\) |
0.0109636 | + | 0.999940i | \(0.496510\pi\) | |||||||
\(150\) | 53.9354 | + | 4.35411i | 4.40380 | + | 0.355512i | ||||
\(151\) | −0.000167695 | 0 | 0.000148565i | −1.36469e−5 | 0 | 1.20901e-5i | 0.663116 | − | 0.748517i | \(-0.269234\pi\) |
−0.663129 | + | 0.748505i | \(0.730772\pi\) | |||||||
\(152\) | −3.66037 | + | 1.55954i | −0.296895 | + | 0.126495i | ||||
\(153\) | 5.90579 | + | 12.4462i | 0.477455 | + | 1.00621i | ||||
\(154\) | 16.6303 | + | 24.0932i | 1.34011 | + | 1.94148i | ||||
\(155\) | −7.73877 | + | 5.81531i | −0.621593 | + | 0.467097i | ||||
\(156\) | −10.5137 | + | 2.59140i | −0.841770 | + | 0.207478i | ||||
\(157\) | −2.97950 | + | 3.10198i | −0.237790 | + | 0.247565i | −0.829395 | − | 0.558662i | \(-0.811315\pi\) |
0.591606 | + | 0.806228i | \(0.298494\pi\) | |||||||
\(158\) | −20.5177 | − | 3.33444i | −1.63230 | − | 0.265274i | ||||
\(159\) | 20.8453 | + | 25.5309i | 1.65314 | + | 2.02473i | ||||
\(160\) | −8.58010 | + | 29.6219i | −0.678317 | + | 2.34182i | ||||
\(161\) | −0.391616 | + | 0.346941i | −0.0308636 | + | 0.0273428i | ||||
\(162\) | 17.6900 | + | 7.53703i | 1.38986 | + | 0.592165i | ||||
\(163\) | 7.07122 | − | 2.36072i | 0.553861 | − | 0.184906i | −0.0259410 | − | 0.999663i | \(-0.508258\pi\) |
0.579802 | + | 0.814758i | \(0.303130\pi\) | |||||||
\(164\) | 12.8872 | − | 3.17641i | 1.00632 | − | 0.248036i | ||||
\(165\) | −32.6368 | + | 8.04426i | −2.54078 | + | 0.626245i | ||||
\(166\) | −4.14742 | − | 14.3186i | −0.321902 | − | 1.11134i | ||||
\(167\) | 6.66005 | − | 9.64874i | 0.515370 | − | 0.746642i | −0.475755 | − | 0.879578i | \(-0.657825\pi\) |
0.991125 | + | 0.132936i | \(0.0424404\pi\) | |||||||
\(168\) | −1.71658 | + | 5.92631i | −0.132437 | + | 0.457225i | ||||
\(169\) | 2.85725 | + | 4.94891i | 0.219789 | + | 0.380685i | ||||
\(170\) | −8.31956 | − | 40.7519i | −0.638081 | − | 3.12553i | ||||
\(171\) | 0.710106 | + | 17.6211i | 0.0543032 | + | 1.34752i | ||||
\(172\) | −0.0893618 | + | 0.0469007i | −0.00681377 | + | 0.00357614i | ||||
\(173\) | 0.780562 | + | 6.42851i | 0.0593451 | + | 0.488751i | 0.991832 | + | 0.127548i | \(0.0407107\pi\) |
−0.932487 | + | 0.361203i | \(0.882366\pi\) | |||||||
\(174\) | 19.7352 | − | 6.58859i | 1.49612 | − | 0.499479i | ||||
\(175\) | −49.7360 | − | 16.6043i | −3.75969 | − | 1.25517i | ||||
\(176\) | −0.628300 | − | 15.5911i | −0.0473599 | − | 1.17522i | ||||
\(177\) | 0.0142785 | − | 0.354318i | 0.00107324 | − | 0.0266322i | ||||
\(178\) | 5.39946 | − | 9.35214i | 0.404707 | − | 0.700973i | ||||
\(179\) | −16.2859 | − | 4.01412i | −1.21727 | − | 0.300029i | −0.422173 | − | 0.906515i | \(-0.638732\pi\) |
−0.795094 | + | 0.606486i | \(0.792579\pi\) | |||||||
\(180\) | 14.5438 | + | 10.9289i | 1.08403 | + | 0.814594i | ||||
\(181\) | −9.02621 | − | 9.39728i | −0.670913 | − | 0.698495i | 0.295542 | − | 0.955330i | \(-0.404500\pi\) |
−0.966455 | + | 0.256835i | \(0.917320\pi\) | |||||||
\(182\) | 22.8888 | 1.69663 | ||||||||
\(183\) | 8.30236 | + | 3.53731i | 0.613728 | + | 0.261485i | ||||
\(184\) | 0.0690525 | − | 0.0112221i | 0.00509062 | − | 0.000827306i | ||||
\(185\) | −8.90190 | − | 23.4724i | −0.654481 | − | 1.72572i | ||||
\(186\) | −10.6937 | + | 0.863287i | −0.784102 | + | 0.0632993i | ||||
\(187\) | 9.09258 | + | 15.7488i | 0.664915 | + | 1.15167i | ||||
\(188\) | −2.52249 | − | 5.31604i | −0.183972 | − | 0.387712i | ||||
\(189\) | −3.21579 | − | 2.41651i | −0.233914 | − | 0.175775i | ||||
\(190\) | 10.6501 | − | 52.1677i | 0.772640 | − | 3.78464i | ||||
\(191\) | −3.62089 | + | 2.72092i | −0.261998 | + | 0.196879i | −0.723621 | − | 0.690197i | \(-0.757524\pi\) |
0.461623 | + | 0.887076i | \(0.347267\pi\) | |||||||
\(192\) | −9.54982 | + | 8.46040i | −0.689199 | + | 0.610577i | ||||
\(193\) | −1.88103 | + | 3.96419i | −0.135399 | + | 0.285348i | −0.959813 | − | 0.280639i | \(-0.909454\pi\) |
0.824414 | + | 0.565987i | \(0.191505\pi\) | |||||||
\(194\) | 9.96948 | + | 5.23239i | 0.715767 | + | 0.375664i | ||||
\(195\) | −9.31924 | + | 24.5728i | −0.667364 | + | 1.75970i | ||||
\(196\) | −10.5574 | + | 18.2860i | −0.754101 | + | 1.30614i | ||||
\(197\) | 11.2668 | + | 9.98152i | 0.802726 | + | 0.711154i | 0.961092 | − | 0.276227i | \(-0.0890841\pi\) |
−0.158366 | + | 0.987380i | \(0.550623\pi\) | |||||||
\(198\) | −16.4579 | − | 5.49445i | −1.16961 | − | 0.390473i | ||||
\(199\) | −7.04563 | − | 0.568782i | −0.499451 | − | 0.0403199i | −0.171825 | − | 0.985127i | \(-0.554966\pi\) |
−0.327626 | + | 0.944808i | \(0.606249\pi\) | |||||||
\(200\) | 4.43423 | + | 5.43094i | 0.313547 | + | 0.384026i | ||||
\(201\) | −7.26953 | + | 25.0973i | −0.512753 | + | 1.77023i | ||||
\(202\) | 0.725771 | − | 18.0098i | 0.0510651 | − | 1.26717i | ||||
\(203\) | −20.0960 | + | 1.62232i | −1.41046 | + | 0.113864i | ||||
\(204\) | 7.49352 | − | 19.7588i | 0.524652 | − | 1.38339i | ||||
\(205\) | 11.4231 | − | 30.1202i | 0.797823 | − | 2.10369i | ||||
\(206\) | −4.00466 | + | 2.53239i | −0.279018 | + | 0.176440i | ||||
\(207\) | 0.0620247 | − | 0.303817i | 0.00431102 | − | 0.0211168i | ||||
\(208\) | −10.3111 | − | 6.52033i | −0.714944 | − | 0.452103i | ||||
\(209\) | 2.80601 | + | 23.1096i | 0.194096 | + | 1.59852i | ||||
\(210\) | −52.2184 | − | 63.9559i | −3.60341 | − | 4.41338i | ||||
\(211\) | 3.75321 | − | 4.59685i | 0.258382 | − | 0.316460i | −0.629081 | − | 0.777340i | \(-0.716569\pi\) |
0.887463 | + | 0.460880i | \(0.152466\pi\) | |||||||
\(212\) | 2.83834 | − | 23.3758i | 0.194938 | − | 1.60546i | ||||
\(213\) | −26.5121 | + | 16.7653i | −1.81658 | + | 1.14874i | ||||
\(214\) | 5.58853 | + | 27.3744i | 0.382024 | + | 1.87128i | ||||
\(215\) | −0.0295241 | + | 0.243153i | −0.00201353 | + | 0.0165829i | ||||
\(216\) | 0.190732 | + | 0.502919i | 0.0129777 | + | 0.0342193i | ||||
\(217\) | 10.2615 | + | 1.66766i | 0.696598 | + | 0.113208i | ||||
\(218\) | 6.62073 | + | 9.59179i | 0.448413 | + | 0.649638i | ||||
\(219\) | −10.0574 | − | 1.63448i | −0.679615 | − | 0.110448i | ||||
\(220\) | 20.2968 | + | 12.8349i | 1.36841 | + | 0.865332i | ||||
\(221\) | 14.1719 | + | 1.14407i | 0.953303 | + | 0.0769586i | ||||
\(222\) | 5.56517 | − | 27.2600i | 0.373510 | − | 1.82957i | ||||
\(223\) | 11.2263 | + | 11.6878i | 0.751771 | + | 0.782676i | 0.981680 | − | 0.190536i | \(-0.0610225\pi\) |
−0.229910 | + | 0.973212i | \(0.573843\pi\) | |||||||
\(224\) | 29.3267 | − | 15.3918i | 1.95947 | − | 1.02841i | ||||
\(225\) | 29.4773 | − | 9.84097i | 1.96515 | − | 0.656065i | ||||
\(226\) | 0.475830 | + | 0.689359i | 0.0316518 | + | 0.0458555i | ||||
\(227\) | −4.94009 | + | 6.05051i | −0.327885 | + | 0.401587i | −0.912070 | − | 0.410034i | \(-0.865517\pi\) |
0.584185 | + | 0.811621i | \(0.301414\pi\) | |||||||
\(228\) | 18.7394 | − | 19.5098i | 1.24105 | − | 1.29207i | ||||
\(229\) | 7.75002 | + | 26.7562i | 0.512136 | + | 1.76810i | 0.631637 | + | 0.775264i | \(0.282383\pi\) |
−0.119501 | + | 0.992834i | \(0.538130\pi\) | |||||||
\(230\) | −0.401335 | + | 0.845796i | −0.0264633 | + | 0.0557702i | ||||
\(231\) | 30.5111 | + | 19.2940i | 2.00748 | + | 1.26945i | ||||
\(232\) | 2.38707 | + | 1.25283i | 0.156719 | + | 0.0822525i | ||||
\(233\) | −12.5023 | + | 5.32674i | −0.819055 | + | 0.348967i | −0.760517 | − | 0.649319i | \(-0.775054\pi\) |
−0.0585382 | + | 0.998285i | \(0.518644\pi\) | |||||||
\(234\) | −10.8450 | + | 8.14946i | −0.708957 | + | 0.532747i | ||||
\(235\) | −14.0960 | − | 2.29082i | −0.919522 | − | 0.149437i | ||||
\(236\) | −0.189628 | + | 0.167996i | −0.0123437 | + | 0.0109356i | ||||
\(237\) | −24.8875 | + | 6.13422i | −1.61662 | + | 0.398461i | ||||
\(238\) | −25.3747 | + | 36.7615i | −1.64479 | + | 2.38290i | ||||
\(239\) | −5.75630 | − | 28.1962i | −0.372344 | − | 1.82386i | −0.544462 | − | 0.838786i | \(-0.683266\pi\) |
0.172118 | − | 0.985076i | \(-0.444939\pi\) | |||||||
\(240\) | 5.30451 | + | 43.6866i | 0.342405 | + | 2.81996i | ||||
\(241\) | −0.331023 | − | 8.21426i | −0.0213231 | − | 0.529127i | −0.974189 | − | 0.225735i | \(-0.927522\pi\) |
0.952866 | − | 0.303392i | \(-0.0981192\pi\) | |||||||
\(242\) | −1.71360 | − | 0.422364i | −0.110154 | − | 0.0271506i | ||||
\(243\) | 20.9763 | 1.34563 | ||||||||
\(244\) | −2.28627 | − | 6.02840i | −0.146363 | − | 0.385929i | ||||
\(245\) | 21.9688 | + | 46.2983i | 1.40354 | + | 2.95789i | ||||
\(246\) | 28.5418 | − | 21.4478i | 1.81976 | − | 1.36746i | ||||
\(247\) | 16.1160 | + | 8.45835i | 1.02544 | + | 0.538192i | ||||
\(248\) | −1.04052 | − | 0.921817i | −0.0660728 | − | 0.0585354i | ||||
\(249\) | −11.6256 | − | 14.2388i | −0.736744 | − | 0.902348i | ||||
\(250\) | −54.1684 | + | 4.37292i | −3.42591 | + | 0.276568i | ||||
\(251\) | −6.19173 | + | 3.91541i | −0.390819 | + | 0.247139i | −0.715394 | − | 0.698721i | \(-0.753753\pi\) |
0.324576 | + | 0.945860i | \(0.394779\pi\) | |||||||
\(252\) | −2.35503 | − | 19.3954i | −0.148353 | − | 1.22180i | ||||
\(253\) | 0.0493382 | − | 0.406337i | 0.00310187 | − | 0.0255462i | ||||
\(254\) | 2.29667 | − | 18.9148i | 0.144106 | − | 1.18682i | ||||
\(255\) | −29.1348 | − | 42.2091i | −1.82449 | − | 2.64323i | ||||
\(256\) | −19.6684 | − | 1.58780i | −1.22927 | − | 0.0992373i | ||||
\(257\) | 22.7802 | − | 11.9560i | 1.42099 | − | 0.745794i | 0.433159 | − | 0.901317i | \(-0.357399\pi\) |
0.987832 | + | 0.155523i | \(0.0497064\pi\) | |||||||
\(258\) | −0.171686 | + | 0.210278i | −0.0106887 | + | 0.0130913i | ||||
\(259\) | −11.5577 | + | 24.3574i | −0.718161 | + | 1.51349i | ||||
\(260\) | 17.2732 | − | 7.35942i | 1.07124 | − | 0.456412i | ||||
\(261\) | 8.94408 | − | 7.92376i | 0.553625 | − | 0.490469i | ||||
\(262\) | 7.20112 | + | 35.2734i | 0.444886 | + | 2.17920i | ||||
\(263\) | 17.3414 | + | 4.27427i | 1.06932 | + | 0.263563i | 0.734422 | − | 0.678693i | \(-0.237453\pi\) |
0.334894 | + | 0.942256i | \(0.391299\pi\) | |||||||
\(264\) | −2.06932 | − | 4.36099i | −0.127358 | − | 0.268400i | ||||
\(265\) | −42.7776 | − | 37.8976i | −2.62780 | − | 2.32803i | ||||
\(266\) | −48.3293 | + | 30.5616i | −2.96326 | + | 1.87385i | ||||
\(267\) | 1.60509 | − | 13.2191i | 0.0982300 | − | 0.808997i | ||||
\(268\) | 16.5290 | − | 8.67511i | 1.00967 | − | 0.529917i | ||||
\(269\) | 0.166481 | − | 0.0709307i | 0.0101505 | − | 0.00432472i | −0.386885 | − | 0.922128i | \(-0.626449\pi\) |
0.397036 | + | 0.917803i | \(0.370039\pi\) | |||||||
\(270\) | −6.98864 | − | 1.72255i | −0.425315 | − | 0.104831i | ||||
\(271\) | −4.76448 | + | 3.01288i | −0.289422 | + | 0.183019i | −0.671284 | − | 0.741200i | \(-0.734257\pi\) |
0.381863 | + | 0.924219i | \(0.375283\pi\) | |||||||
\(272\) | 21.9031 | − | 9.33206i | 1.32807 | − | 0.565839i | ||||
\(273\) | 25.9658 | − | 11.0630i | 1.57152 | − | 0.669563i | ||||
\(274\) | 25.8041 | − | 10.9941i | 1.55888 | − | 0.664179i | ||||
\(275\) | 37.7396 | − | 16.0793i | 2.27578 | − | 0.969620i | ||||
\(276\) | −0.402015 | + | 0.254219i | −0.0241985 | + | 0.0153022i | ||||
\(277\) | 20.7443 | + | 5.11300i | 1.24640 | + | 0.307210i | 0.806715 | − | 0.590941i | \(-0.201243\pi\) |
0.439687 | + | 0.898151i | \(0.355090\pi\) | |||||||
\(278\) | −22.8575 | + | 9.73866i | −1.37090 | + | 0.584086i | ||||
\(279\) | −5.45578 | + | 2.86341i | −0.326629 | + | 0.171428i | ||||
\(280\) | 1.28953 | − | 10.6202i | 0.0770640 | − | 0.634679i | ||||
\(281\) | −14.0776 | + | 8.90210i | −0.839796 | + | 0.531055i | −0.883740 | − | 0.467979i | \(-0.844982\pi\) |
0.0439433 | + | 0.999034i | \(0.486008\pi\) | |||||||
\(282\) | −11.8470 | − | 10.4956i | −0.705481 | − | 0.625002i | ||||
\(283\) | 6.84959 | + | 14.4352i | 0.407166 | + | 0.858084i | 0.998659 | + | 0.0517738i | \(0.0164875\pi\) |
−0.591493 | + | 0.806310i | \(0.701461\pi\) | |||||||
\(284\) | 21.7592 | + | 5.36316i | 1.29117 | + | 0.318245i | ||||
\(285\) | −13.1327 | − | 64.3282i | −0.777913 | − | 3.81047i | ||||
\(286\) | −13.4037 | + | 11.8746i | −0.792575 | + | 0.702160i | ||||
\(287\) | −31.8277 | + | 13.5605i | −1.87873 | + | 0.800451i | ||||
\(288\) | −8.41509 | + | 17.7344i | −0.495864 | + | 1.04501i | ||||
\(289\) | −6.79690 | + | 8.32469i | −0.399818 | + | 0.489688i | ||||
\(290\) | −31.9438 | + | 16.7654i | −1.87581 | + | 0.984499i | ||||
\(291\) | 13.8387 | + | 1.11717i | 0.811238 | + | 0.0654899i | ||||
\(292\) | 4.13526 | + | 5.99096i | 0.241998 | + | 0.350594i | ||||
\(293\) | 0.0263912 | − | 0.217351i | 0.00154179 | − | 0.0126978i | −0.991918 | − | 0.126883i | \(-0.959503\pi\) |
0.993459 | + | 0.114185i | \(0.0364258\pi\) | |||||||
\(294\) | −6.84597 | + | 56.3816i | −0.399265 | + | 3.28824i | ||||
\(295\) | 0.0741134 | + | 0.610379i | 0.00431505 | + | 0.0355376i | ||||
\(296\) | 3.04690 | − | 1.92674i | 0.177097 | − | 0.111990i | ||||
\(297\) | 3.13684 | − | 0.253232i | 0.182018 | − | 0.0146940i | ||||
\(298\) | −14.0760 | − | 17.2400i | −0.815404 | − | 0.998688i | ||||
\(299\) | −0.239543 | − | 0.212216i | −0.0138531 | − | 0.0122728i | ||||
\(300\) | −42.2095 | − | 22.1533i | −2.43697 | − | 1.27902i | ||||
\(301\) | 0.210297 | − | 0.158028i | 0.0121213 | − | 0.00910858i | ||||
\(302\) | 0.000184568 | 0 | 0.000388969i | 1.06207e−5 | 0 | 2.23826e-5i | ||||
\(303\) | −7.88146 | − | 20.7817i | −0.452778 | − | 1.19388i | ||||
\(304\) | 30.4777 | 1.74801 | ||||||||
\(305\) | −15.1932 | − | 3.74479i | −0.869960 | − | 0.214426i | ||||
\(306\) | −1.06600 | − | 26.4525i | −0.0609391 | − | 1.51219i | ||||
\(307\) | −2.68074 | − | 22.0778i | −0.152998 | − | 1.26005i | −0.843662 | − | 0.536874i | \(-0.819605\pi\) |
0.690665 | − | 0.723175i | \(-0.257318\pi\) | |||||||
\(308\) | −5.15879 | − | 25.2694i | −0.293949 | − | 1.43986i | ||||
\(309\) | −3.31901 | + | 4.80842i | −0.188812 | + | 0.273541i | ||||
\(310\) | 18.0620 | − | 4.45188i | 1.02585 | − | 0.252850i | ||||
\(311\) | 12.6815 | − | 11.2348i | 0.719102 | − | 0.637068i | −0.222057 | − | 0.975034i | \(-0.571277\pi\) |
0.941159 | + | 0.337965i | \(0.109739\pi\) | |||||||
\(312\) | −3.72512 | − | 0.605392i | −0.210894 | − | 0.0342735i | ||||
\(313\) | 0.516012 | − | 0.387758i | 0.0291667 | − | 0.0219174i | −0.586059 | − | 0.810268i | \(-0.699321\pi\) |
0.615226 | + | 0.788351i | \(0.289065\pi\) | |||||||
\(314\) | 7.60410 | − | 3.23980i | 0.429124 | − | 0.182833i | ||||
\(315\) | −41.9872 | − | 22.0366i | −2.36571 | − | 1.24162i | ||||
\(316\) | 15.4775 | + | 9.78740i | 0.870680 | + | 0.550584i | ||||
\(317\) | −5.33667 | + | 11.2468i | −0.299737 | + | 0.631683i | −0.996312 | − | 0.0858011i | \(-0.972655\pi\) |
0.696575 | + | 0.717484i | \(0.254706\pi\) | |||||||
\(318\) | −17.6221 | − | 60.8385i | −0.988198 | − | 3.41165i | ||||
\(319\) | 10.9266 | − | 11.3757i | 0.611769 | − | 0.636919i | ||||
\(320\) | 13.9911 | − | 17.1360i | 0.782127 | − | 0.957931i | ||||
\(321\) | 19.5708 | + | 28.3533i | 1.09234 | + | 1.58252i | ||||
\(322\) | 0.953682 | − | 0.318386i | 0.0531466 | − | 0.0177429i | ||||
\(323\) | −31.4512 | + | 16.5069i | −1.74999 | + | 0.918466i | ||||
\(324\) | −11.7347 | − | 12.2171i | −0.651925 | − | 0.678726i | ||||
\(325\) | 6.41542 | − | 31.4248i | 0.355864 | − | 1.74314i | ||||
\(326\) | −14.2796 | − | 1.15277i | −0.790876 | − | 0.0638461i | ||||
\(327\) | 12.1468 | + | 7.68118i | 0.671721 | + | 0.424770i | ||||
\(328\) | 4.56609 | + | 0.742061i | 0.252120 | + | 0.0409735i | ||||
\(329\) | 8.71249 | + | 12.6222i | 0.480335 | + | 0.695886i | ||||
\(330\) | 63.7590 | + | 10.3618i | 3.50982 | + | 0.570401i | ||||
\(331\) | 1.24695 | + | 3.28793i | 0.0685385 | + | 0.180721i | 0.964909 | − | 0.262584i | \(-0.0845748\pi\) |
−0.896370 | + | 0.443306i | \(0.853806\pi\) | |||||||
\(332\) | −1.58297 | + | 13.0369i | −0.0868766 | + | 0.715493i | ||||
\(333\) | −3.19616 | − | 15.6558i | −0.175148 | − | 0.857934i | ||||
\(334\) | −19.0424 | + | 12.0417i | −1.04195 | + | 0.658891i | ||||
\(335\) | 5.46101 | − | 44.9755i | 0.298367 | − | 2.45727i | ||||
\(336\) | 29.8908 | − | 36.6096i | 1.63068 | − | 1.99721i | ||||
\(337\) | 12.0376 | + | 14.7434i | 0.655730 | + | 0.803123i | 0.990255 | − | 0.139264i | \(-0.0444735\pi\) |
−0.334526 | + | 0.942387i | \(0.608576\pi\) | |||||||
\(338\) | −1.32369 | − | 10.9015i | −0.0719991 | − | 0.592966i | ||||
\(339\) | 0.872989 | + | 0.552045i | 0.0474142 | + | 0.0299829i | ||||
\(340\) | −7.32925 | + | 35.9010i | −0.397484 | + | 1.94701i | ||||
\(341\) | −6.87431 | + | 4.34705i | −0.372265 | + | 0.235406i | ||||
\(342\) | 12.0176 | − | 31.6878i | 0.649837 | − | 1.71348i | ||||
\(343\) | 8.56268 | − | 22.5779i | 0.462342 | − | 1.21909i | ||||
\(344\) | −0.0350601 | + | 0.00283034i | −0.00189031 | + | 0.000152602i | ||||
\(345\) | −0.0464835 | + | 1.15348i | −0.00250259 | + | 0.0621011i | ||||
\(346\) | 3.46226 | − | 11.9531i | 0.186132 | − | 0.642603i | ||||
\(347\) | 20.1247 | + | 24.6483i | 1.08035 | + | 1.32319i | 0.943046 | + | 0.332663i | \(0.107947\pi\) |
0.137307 | + | 0.990529i | \(0.456155\pi\) | |||||||
\(348\) | −18.2699 | − | 1.47490i | −0.979370 | − | 0.0790629i | ||||
\(349\) | 9.29514 | + | 3.10318i | 0.497558 | + | 0.166109i | 0.554361 | − | 0.832276i | \(-0.312963\pi\) |
−0.0568035 | + | 0.998385i | \(0.518091\pi\) | |||||||
\(350\) | 75.4227 | + | 66.8187i | 4.03151 | + | 3.57161i | ||||
\(351\) | 1.23025 | − | 2.13085i | 0.0656658 | − | 0.113737i | ||||
\(352\) | −9.18845 | + | 24.2280i | −0.489746 | + | 1.29135i | ||||
\(353\) | −12.5558 | − | 6.58979i | −0.668277 | − | 0.350739i | 0.0962254 | − | 0.995360i | \(-0.469323\pi\) |
−0.764503 | + | 0.644621i | \(0.777015\pi\) | |||||||
\(354\) | −0.292132 | + | 0.615654i | −0.0155266 | + | 0.0327217i | ||||
\(355\) | 40.7118 | − | 36.0675i | 2.16076 | − | 1.91427i | ||||
\(356\) | −7.60548 | + | 5.71515i | −0.403090 | + | 0.302902i | ||||
\(357\) | −11.0176 | + | 53.9679i | −0.583115 | + | 2.85628i | ||||
\(358\) | 25.7688 | + | 19.3640i | 1.36192 | + | 1.02342i | ||||
\(359\) | 1.57733 | + | 3.32415i | 0.0832482 | + | 0.175442i | 0.940806 | − | 0.338946i | \(-0.110070\pi\) |
−0.857558 | + | 0.514388i | \(0.828019\pi\) | |||||||
\(360\) | 3.17028 | + | 5.49109i | 0.167089 | + | 0.289406i | ||||
\(361\) | −26.3840 | + | 2.12994i | −1.38863 | + | 0.112102i | ||||
\(362\) | 8.87927 | + | 23.4127i | 0.466684 | + | 1.23054i | ||||
\(363\) | −2.14810 | + | 0.349101i | −0.112746 | + | 0.0183230i | ||||
\(364\) | −18.5507 | − | 7.90372i | −0.972322 | − | 0.414268i | ||||
\(365\) | 17.6676 | 0.924765 | ||||||||
\(366\) | −12.0135 | − | 12.5074i | −0.627958 | − | 0.653774i | ||||
\(367\) | −5.48142 | − | 4.11902i | −0.286128 | − | 0.215011i | 0.447981 | − | 0.894043i | \(-0.352143\pi\) |
−0.734109 | + | 0.679032i | \(0.762400\pi\) | |||||||
\(368\) | −0.520318 | − | 0.128247i | −0.0271234 | − | 0.00668532i | ||||
\(369\) | 10.2521 | − | 17.7572i | 0.533704 | − | 0.924403i | ||||
\(370\) | −1.94251 | + | 48.2029i | −0.100986 | + | 2.50595i | ||||
\(371\) | 2.47140 | + | 61.3272i | 0.128309 | + | 3.18395i | ||||
\(372\) | 8.96505 | + | 2.99297i | 0.464816 | + | 0.155179i | ||||
\(373\) | 13.5915 | − | 4.53750i | 0.703739 | − | 0.234943i | 0.0577962 | − | 0.998328i | \(-0.481593\pi\) |
0.645943 | + | 0.763386i | \(0.276464\pi\) | |||||||
\(374\) | −4.21234 | − | 34.6917i | −0.217815 | − | 1.79387i | ||||
\(375\) | −59.3367 | + | 31.1423i | −3.06413 | + | 1.60818i | ||||
\(376\) | −0.0825773 | − | 2.04913i | −0.00425860 | − | 0.105676i | ||||
\(377\) | −2.46677 | − | 12.0830i | −0.127045 | − | 0.622309i | ||||
\(378\) | 3.86507 | + | 6.69450i | 0.198798 | + | 0.344328i | ||||
\(379\) | 3.86905 | − | 13.3575i | 0.198740 | − | 0.686129i | −0.797793 | − | 0.602931i | \(-0.793999\pi\) |
0.996533 | − | 0.0831983i | \(-0.0265135\pi\) | |||||||
\(380\) | −26.6456 | + | 38.6028i | −1.36689 | + | 1.98028i | ||||
\(381\) | −6.53679 | − | 22.5676i | −0.334890 | − | 1.15617i | ||||
\(382\) | 8.45100 | − | 2.08299i | 0.432391 | − | 0.106575i | ||||
\(383\) | −17.3613 | + | 4.27918i | −0.887122 | + | 0.218656i | −0.656444 | − | 0.754374i | \(-0.727940\pi\) |
−0.230677 | + | 0.973030i | \(0.574094\pi\) | |||||||
\(384\) | −10.4850 | + | 3.50040i | −0.535060 | + | 0.178629i | ||||
\(385\) | −57.5855 | − | 24.5349i | −2.93483 | − | 1.25041i | ||||
\(386\) | 6.31153 | − | 5.59153i | 0.321249 | − | 0.284601i | ||||
\(387\) | −0.0433757 | + | 0.149750i | −0.00220491 | + | 0.00761224i | ||||
\(388\) | −6.27318 | − | 7.68325i | −0.318472 | − | 0.390058i | ||||
\(389\) | −6.30453 | − | 1.02459i | −0.319653 | − | 0.0519486i | −0.00153188 | − | 0.999999i | \(-0.500488\pi\) |
−0.318121 | + | 0.948050i | \(0.603052\pi\) | |||||||
\(390\) | 34.9851 | − | 36.4234i | 1.77154 | − | 1.84437i | ||||
\(391\) | 0.606396 | − | 0.149463i | 0.0306668 | − | 0.00755868i | ||||
\(392\) | −5.88320 | + | 4.42094i | −0.297147 | + | 0.223291i | ||||
\(393\) | 25.2181 | + | 36.5347i | 1.27208 | + | 1.84293i | ||||
\(394\) | −12.4004 | − | 26.1333i | −0.624723 | − | 1.31658i | ||||
\(395\) | 40.8883 | − | 17.4209i | 2.05731 | − | 0.876539i | ||||
\(396\) | 11.4413 | + | 10.1361i | 0.574949 | + | 0.509360i | ||||
\(397\) | −17.1525 | − | 1.38469i | −0.860858 | − | 0.0694957i | −0.357852 | − | 0.933778i | \(-0.616491\pi\) |
−0.503006 | + | 0.864283i | \(0.667773\pi\) | |||||||
\(398\) | 12.0277 | + | 6.31265i | 0.602897 | + | 0.316424i | ||||
\(399\) | −40.0547 | + | 58.0293i | −2.00524 | + | 2.90510i | ||||
\(400\) | −14.9422 | − | 51.5865i | −0.747110 | − | 2.57932i | ||||
\(401\) | −17.0001 | − | 10.7502i | −0.848945 | − | 0.536840i | 0.0377010 | − | 0.999289i | \(-0.487997\pi\) |
−0.886646 | + | 0.462449i | \(0.846971\pi\) | |||||||
\(402\) | 31.7564 | − | 38.8946i | 1.58387 | − | 1.93989i | ||||
\(403\) | −0.256055 | + | 6.35393i | −0.0127550 | + | 0.316512i | ||||
\(404\) | −6.80717 | + | 14.3458i | −0.338670 | + | 0.713731i | ||||
\(405\) | −40.5809 | + | 6.59505i | −2.01648 | + | 0.327710i | ||||
\(406\) | 36.7504 | + | 12.2691i | 1.82389 | + | 0.608904i | ||||
\(407\) | −5.86830 | − | 20.2597i | −0.290881 | − | 1.00424i | ||||
\(408\) | 5.10200 | − | 5.31175i | 0.252587 | − | 0.262971i | ||||
\(409\) | −22.0585 | + | 31.9573i | −1.09072 | + | 1.58019i | −0.315022 | + | 0.949084i | \(0.602012\pi\) |
−0.775701 | + | 0.631101i | \(0.782603\pi\) | |||||||
\(410\) | −42.8831 | + | 44.6461i | −2.11785 | + | 2.20491i | ||||
\(411\) | 23.9592 | − | 24.9441i | 1.18182 | − | 1.23040i | ||||
\(412\) | 4.12011 | − | 0.669584i | 0.202983 | − | 0.0329880i | ||||
\(413\) | 0.417627 | − | 0.511500i | 0.0205501 | − | 0.0251693i | ||||
\(414\) | −0.338504 | + | 0.490408i | −0.0166366 | + | 0.0241022i | ||||
\(415\) | 23.8574 | + | 21.1358i | 1.17111 | + | 1.03752i | ||||
\(416\) | 11.5084 | + | 16.6728i | 0.564247 | + | 0.817453i | ||||
\(417\) | −21.2232 | + | 22.0957i | −1.03930 | + | 1.08203i | ||||
\(418\) | 12.4464 | − | 42.9698i | 0.608771 | − | 2.10172i | ||||
\(419\) | 12.4041 | − | 4.14110i | 0.605981 | − | 0.202306i | 0.00291274 | − | 0.999996i | \(-0.499073\pi\) |
0.603068 | + | 0.797690i | \(0.293945\pi\) | |||||||
\(420\) | 20.2369 | + | 69.8658i | 0.987459 | + | 3.40910i | ||||
\(421\) | −7.60781 | − | 13.1771i | −0.370782 | − | 0.642213i | 0.618904 | − | 0.785467i | \(-0.287577\pi\) |
−0.989686 | + | 0.143253i | \(0.954244\pi\) | |||||||
\(422\) | −10.0980 | + | 5.29982i | −0.491561 | + | 0.257991i | ||||
\(423\) | −8.62215 | − | 2.87850i | −0.419223 | − | 0.139957i | ||||
\(424\) | 4.10349 | − | 7.10746i | 0.199283 | − | 0.345169i | ||||
\(425\) | 43.3589 | + | 45.1414i | 2.10322 | + | 2.18968i | ||||
\(426\) | 59.5000 | − | 9.66969i | 2.88278 | − | 0.468498i | ||||
\(427\) | 8.40260 | + | 14.5537i | 0.406630 | + | 0.704304i | ||||
\(428\) | 4.92330 | − | 24.1159i | 0.237977 | − | 1.16569i | ||||
\(429\) | −9.46610 | + | 19.9494i | −0.457028 | + | 0.963166i | ||||
\(430\) | 0.235350 | − | 0.407639i | 0.0113496 | − | 0.0196581i | ||||
\(431\) | 35.4813 | + | 2.86434i | 1.70907 | + | 0.137971i | 0.895960 | − | 0.444135i | \(-0.146489\pi\) |
0.813113 | + | 0.582106i | \(0.197771\pi\) | |||||||
\(432\) | 0.165902 | − | 4.11681i | 0.00798196 | − | 0.198070i | ||||
\(433\) | 0.952955 | − | 2.51274i | 0.0457961 | − | 0.120754i | −0.910167 | − | 0.414242i | \(-0.864047\pi\) |
0.955963 | + | 0.293488i | \(0.0948160\pi\) | |||||||
\(434\) | −16.8855 | − | 10.6778i | −0.810531 | − | 0.512548i | ||||
\(435\) | −28.1347 | + | 34.4588i | −1.34896 | + | 1.65217i | ||||
\(436\) | −2.05378 | − | 10.0601i | −0.0983580 | − | 0.481790i | ||||
\(437\) | 0.789144 | + | 0.128248i | 0.0377499 | + | 0.00613495i | ||||
\(438\) | 16.5496 | + | 10.4653i | 0.790770 | + | 0.500053i | ||||
\(439\) | 12.1444 | + | 12.6436i | 0.579620 | + | 0.603448i | 0.944864 | − | 0.327464i | \(-0.106194\pi\) |
−0.365244 | + | 0.930912i | \(0.619014\pi\) | |||||||
\(440\) | 4.75457 | + | 6.88818i | 0.226665 | + | 0.328381i | ||||
\(441\) | 9.07506 | + | 31.3308i | 0.432146 | + | 1.49194i | ||||
\(442\) | −24.1931 | − | 12.6975i | −1.15075 | − | 0.603960i | ||||
\(443\) | 17.2023 | + | 2.79565i | 0.817306 | + | 0.132825i | 0.554671 | − | 0.832070i | \(-0.312844\pi\) |
0.262635 | + | 0.964895i | \(0.415408\pi\) | |||||||
\(444\) | −13.9235 | + | 20.1717i | −0.660782 | + | 0.957308i | ||||
\(445\) | 0.929716 | + | 23.0707i | 0.0440728 | + | 1.09365i | ||||
\(446\) | −11.0436 | − | 29.1195i | −0.522928 | − | 1.37885i | ||||
\(447\) | −24.3010 | − | 12.7542i | −1.14940 | − | 0.603251i | ||||
\(448\) | −23.6813 | + | 1.91176i | −1.11884 | + | 0.0903220i | ||||
\(449\) | 2.16775 | − | 17.8530i | 0.102302 | − | 0.842536i | −0.847739 | − | 0.530413i | \(-0.822037\pi\) |
0.950042 | − | 0.312123i | \(-0.101040\pi\) | |||||||
\(450\) | −59.5265 | − | 4.80548i | −2.80611 | − | 0.226532i | ||||
\(451\) | 11.6031 | − | 24.4530i | 0.546369 | − | 1.15145i | ||||
\(452\) | −0.147604 | − | 0.723014i | −0.00694272 | − | 0.0340077i | ||||
\(453\) | 0.000397382 | 0 | 0.000352050i | 1.86706e−5 | 0 | 1.65407e-5i | ||||
\(454\) | 13.2913 | − | 6.97579i | 0.623790 | − | 0.327390i | ||||
\(455\) | −41.3628 | + | 26.1563i | −1.93912 | + | 1.22622i | ||||
\(456\) | 8.67385 | − | 3.69558i | 0.406190 | − | 0.173061i | ||||
\(457\) | 1.17242 | + | 0.288976i | 0.0548435 | + | 0.0135177i | 0.266642 | − | 0.963796i | \(-0.414086\pi\) |
−0.211798 | + | 0.977313i | \(0.567932\pi\) | |||||||
\(458\) | 6.45245 | − | 53.1407i | 0.301503 | − | 2.48310i | ||||
\(459\) | 2.05848 | + | 4.33816i | 0.0960818 | + | 0.202488i | ||||
\(460\) | 0.617332 | − | 0.546908i | 0.0287832 | − | 0.0254997i | ||||
\(461\) | 17.9281 | − | 21.9579i | 0.834994 | − | 1.02268i | −0.164347 | − | 0.986403i | \(-0.552552\pi\) |
0.999342 | − | 0.0362800i | \(-0.0115508\pi\) | |||||||
\(462\) | −39.4083 | − | 57.0928i | −1.83344 | − | 2.65620i | ||||
\(463\) | 2.75077 | + | 22.6546i | 0.127839 | + | 1.05285i | 0.905554 | + | 0.424231i | \(0.139456\pi\) |
−0.777715 | + | 0.628617i | \(0.783621\pi\) | |||||||
\(464\) | −13.0604 | − | 15.9961i | −0.606314 | − | 0.742600i | ||||
\(465\) | 18.3383 | − | 13.7803i | 0.850419 | − | 0.639048i | ||||
\(466\) | 26.1156 | 1.20978 | ||||||||
\(467\) | −0.321834 | − | 2.65054i | −0.0148927 | − | 0.122652i | 0.983366 | − | 0.181633i | \(-0.0581382\pi\) |
−0.998259 | + | 0.0589802i | \(0.981215\pi\) | |||||||
\(468\) | 11.6036 | − | 2.86003i | 0.536376 | − | 0.132205i | ||||
\(469\) | −38.8982 | + | 29.2301i | −1.79615 | + | 1.34972i | ||||
\(470\) | 23.1952 | + | 14.6678i | 1.06992 | + | 0.676574i | ||||
\(471\) | 7.06041 | − | 7.35066i | 0.325326 | − | 0.338701i | ||||
\(472\) | −0.0837524 | + | 0.0279607i | −0.00385502 | + | 0.00128699i | ||||
\(473\) | −0.0411655 | + | 0.201642i | −0.00189279 | + | 0.00927150i | ||||
\(474\) | 48.6200 | + | 7.90152i | 2.23319 | + | 0.362929i | ||||
\(475\) | 28.4130 | + | 74.9188i | 1.30368 | + | 3.43751i | ||||
\(476\) | 33.2595 | − | 21.0320i | 1.52445 | − | 0.964002i | ||||
\(477\) | −23.0062 | − | 28.1775i | −1.05338 | − | 1.29016i | ||||
\(478\) | −11.0619 | + | 54.1849i | −0.505961 | + | 2.47836i | ||||
\(479\) | −6.54286 | + | 17.2521i | −0.298951 | + | 0.788269i | 0.698412 | + | 0.715696i | \(0.253890\pi\) |
−0.997363 | + | 0.0725733i | \(0.976879\pi\) | |||||||
\(480\) | 20.3320 | − | 70.1941i | 0.928023 | − | 3.20391i | ||||
\(481\) | −15.6424 | − | 5.22219i | −0.713230 | − | 0.238111i | ||||
\(482\) | −5.60212 | + | 14.7716i | −0.255170 | + | 0.672827i | ||||
\(483\) | 0.927998 | − | 0.822135i | 0.0422254 | − | 0.0374084i | ||||
\(484\) | 1.24297 | + | 0.934035i | 0.0564988 | + | 0.0424561i | ||||
\(485\) | −23.9954 | + | 1.93710i | −1.08957 | + | 0.0879594i | ||||
\(486\) | −37.0847 | − | 15.8003i | −1.68220 | − | 0.716716i | ||||
\(487\) | −24.6175 | − | 18.4988i | −1.11553 | − | 0.838263i | −0.127390 | − | 0.991853i | \(-0.540660\pi\) |
−0.988135 | + | 0.153590i | \(0.950917\pi\) | |||||||
\(488\) | 0.0904814 | − | 2.24527i | 0.00409590 | − | 0.101639i | ||||
\(489\) | −16.7564 | + | 5.59412i | −0.757752 | + | 0.252975i | ||||
\(490\) | −3.96539 | − | 98.4001i | −0.179138 | − | 4.44526i | ||||
\(491\) | 0.261887 | − | 0.904138i | 0.0118188 | − | 0.0408032i | −0.954392 | − | 0.298556i | \(-0.903495\pi\) |
0.966211 | + | 0.257753i | \(0.0829821\pi\) | |||||||
\(492\) | −30.5384 | + | 7.52704i | −1.37678 | + | 0.339345i | ||||
\(493\) | 22.1411 | + | 9.43346i | 0.997187 | + | 0.424862i | ||||
\(494\) | −22.1208 | − | 27.0931i | −0.995263 | − | 1.21898i | ||||
\(495\) | 36.0201 | − | 8.87816i | 1.61898 | − | 0.399044i | ||||
\(496\) | 4.56490 | + | 9.62033i | 0.204970 | + | 0.431966i | ||||
\(497\) | −58.2237 | − | 4.70030i | −2.61169 | − | 0.210837i | ||||
\(498\) | 9.82800 | + | 33.9302i | 0.440403 | + | 1.52045i | ||||
\(499\) | 0.0861975 | − | 2.13897i | 0.00385873 | − | 0.0957534i | −0.996112 | − | 0.0880964i | \(-0.971922\pi\) |
0.999971 | − | 0.00765700i | \(-0.00243732\pi\) | |||||||
\(500\) | 45.4119 | + | 15.1607i | 2.03088 | + | 0.678007i | ||||
\(501\) | −15.7821 | + | 22.8643i | −0.705091 | + | 1.02150i | ||||
\(502\) | 13.8958 | − | 2.25829i | 0.620201 | − | 0.100792i | ||||
\(503\) | −26.7265 | − | 23.6776i | −1.19167 | − | 1.05573i | −0.997197 | − | 0.0748243i | \(-0.976160\pi\) |
−0.194478 | − | 0.980907i | \(-0.562301\pi\) | |||||||
\(504\) | 1.89452 | − | 6.54066i | 0.0843888 | − | 0.291344i | ||||
\(505\) | 19.2692 | + | 33.3753i | 0.857469 | + | 1.48518i | ||||
\(506\) | −0.393298 | + | 0.681211i | −0.0174842 | + | 0.0302835i | ||||
\(507\) | −6.77074 | − | 11.7273i | −0.300699 | − | 0.520826i | ||||
\(508\) | −8.39285 | + | 14.5368i | −0.372372 | + | 0.644968i | ||||
\(509\) | 8.52348 | − | 22.4746i | 0.377797 | − | 0.996168i | −0.602409 | − | 0.798187i | \(-0.705793\pi\) |
0.980206 | − | 0.197980i | \(-0.0634382\pi\) | |||||||
\(510\) | 19.7146 | + | 96.5683i | 0.872976 | + | 4.27612i | ||||
\(511\) | −13.1440 | − | 13.6843i | −0.581454 | − | 0.605358i | ||||
\(512\) | 25.3155 | + | 13.2866i | 1.11880 | + | 0.587191i | ||||
\(513\) | 0.247510 | + | 6.14190i | 0.0109278 | + | 0.271172i | ||||
\(514\) | −49.2797 | + | 3.97827i | −2.17363 | + | 0.175474i | ||||
\(515\) | 4.34299 | − | 9.15266i | 0.191375 | − | 0.403314i | ||||
\(516\) | 0.211757 | − | 0.111139i | 0.00932210 | − | 0.00489262i | ||||
\(517\) | −11.6504 | − | 2.87156i | −0.512383 | − | 0.126291i | ||||
\(518\) | 38.7803 | − | 34.3563i | 1.70391 | − | 1.50953i | ||||
\(519\) | −1.84967 | − | 15.2334i | −0.0811916 | − | 0.668673i | ||||
\(520\) | 6.54385 | 0.286967 | ||||||||
\(521\) | −17.4937 | + | 13.1457i | −0.766413 | + | 0.575922i | −0.910435 | − | 0.413652i | \(-0.864253\pi\) |
0.144022 | + | 0.989575i | \(0.453996\pi\) | |||||||
\(522\) | −21.7811 | + | 7.27158i | −0.953331 | + | 0.318269i | ||||
\(523\) | 8.75378 | + | 23.0818i | 0.382776 | + | 1.00930i | 0.978525 | + | 0.206127i | \(0.0660861\pi\) |
−0.595749 | + | 0.803171i | \(0.703145\pi\) | |||||||
\(524\) | 6.34394 | − | 31.0747i | 0.277136 | − | 1.35750i | ||||
\(525\) | 117.858 | + | 39.3467i | 5.14373 | + | 1.71723i | ||||
\(526\) | −27.4388 | − | 20.6189i | −1.19639 | − | 0.899029i | ||||
\(527\) | −9.92113 | − | 7.45525i | −0.432171 | − | 0.324756i | ||||
\(528\) | 1.48886 | + | 36.9457i | 0.0647943 | + | 1.60785i | ||||
\(529\) | 21.1466 | + | 9.00972i | 0.919417 | + | 0.391727i | ||||
\(530\) | 47.0816 | + | 99.2223i | 2.04509 | + | 4.30994i | ||||
\(531\) | −0.0157587 | + | 0.391048i | −0.000683869 | + | 0.0169700i | ||||
\(532\) | 49.7226 | − | 8.08071i | 2.15575 | − | 0.350343i | ||||
\(533\) | −10.5808 | − | 18.3265i | −0.458306 | − | 0.793809i | ||||
\(534\) | −12.7949 | + | 22.1615i | −0.553690 | + | 0.959020i | ||||
\(535\) | −41.3813 | − | 43.0825i | −1.78907 | − | 1.86262i | ||||
\(536\) | 6.48499 | − | 0.523522i | 0.280109 | − | 0.0226127i | ||||
\(537\) | 38.5922 | + | 9.51212i | 1.66538 | + | 0.410478i | ||||
\(538\) | −0.347754 | −0.0149928 | ||||||||
\(539\) | 15.2685 | + | 40.2596i | 0.657659 | + | 1.73410i | ||||
\(540\) | 5.06928 | + | 3.80932i | 0.218147 | + | 0.163927i | ||||
\(541\) | −21.0532 | − | 8.96993i | −0.905148 | − | 0.385647i | −0.111316 | − | 0.993785i | \(-0.535507\pi\) |
−0.793832 | + | 0.608138i | \(0.791917\pi\) | |||||||
\(542\) | 10.6927 | − | 1.73773i | 0.459291 | − | 0.0746421i | ||||
\(543\) | 21.3891 | + | 22.2684i | 0.917894 | + | 0.955629i | ||||
\(544\) | −39.5364 | −1.69511 | ||||||||
\(545\) | −22.9255 | − | 9.76763i | −0.982020 | − | 0.418399i | ||||
\(546\) | −54.2389 | −2.32121 | ||||||||
\(547\) | 23.2843 | − | 2.20008i | 0.995566 | − | 0.0940688i | ||||
\(548\) | −24.7099 | −1.05555 | ||||||||
\(549\) | −9.16302 | − | 3.90400i | −0.391068 | − | 0.166619i | ||||
\(550\) | −78.8326 | −3.36143 | ||||||||
\(551\) | 21.3420 | + | 22.2194i | 0.909202 | + | 0.946579i | ||||
\(552\) | −0.163631 | + | 0.0265927i | −0.00696461 | + | 0.00113186i | ||||
\(553\) | −43.9123 | − | 18.7093i | −1.86734 | − | 0.795600i | ||||
\(554\) | −32.8231 | − | 24.6649i | −1.39452 | − | 1.04791i | ||||
\(555\) | 21.0945 | + | 55.6217i | 0.895413 | + | 2.36101i | ||||
\(556\) | 21.8881 | 0.928264 | ||||||||
\(557\) | 6.95578 | + | 1.71444i | 0.294726 | + | 0.0726433i | 0.383906 | − | 0.923372i | \(-0.374579\pi\) |
−0.0891805 | + | 0.996015i | \(0.528425\pi\) | |||||||
\(558\) | 11.8023 | − | 0.952779i | 0.499631 | − | 0.0403344i | ||||
\(559\) | 0.111462 | + | 0.116045i | 0.00471436 | + | 0.00490817i | ||||
\(560\) | −40.9747 | + | 70.9703i | −1.73150 | + | 2.99904i | ||||
\(561\) | −21.5464 | − | 37.3194i | −0.909688 | − | 1.57563i | ||||
\(562\) | 31.5936 | − | 5.13446i | 1.33270 | − | 0.216584i | ||||
\(563\) | −1.71311 | + | 42.5105i | −0.0721991 | + | 1.79160i | 0.406527 | + | 0.913639i | \(0.366740\pi\) |
−0.478726 | + | 0.877964i | \(0.658901\pi\) | |||||||
\(564\) | 5.97746 | + | 12.5972i | 0.251697 | + | 0.530439i | ||||
\(565\) | −1.64765 | − | 0.701997i | −0.0693171 | − | 0.0295332i | ||||
\(566\) | −1.23636 | − | 30.6799i | −0.0519679 | − | 1.28957i | ||||
\(567\) | 35.2987 | + | 26.5252i | 1.48240 | + | 1.11395i | ||||
\(568\) | 6.24418 | + | 4.69220i | 0.262000 | + | 0.196880i | ||||
\(569\) | 41.2844 | + | 13.7828i | 1.73073 | + | 0.577804i | 0.995037 | − | 0.0995078i | \(-0.0317268\pi\) |
0.735696 | + | 0.677311i | \(0.236855\pi\) | |||||||
\(570\) | −25.2372 | + | 123.620i | −1.05707 | + | 5.17787i | ||||
\(571\) | −2.76358 | − | 7.28697i | −0.115652 | − | 0.304950i | 0.864674 | − | 0.502333i | \(-0.167525\pi\) |
−0.980326 | + | 0.197383i | \(0.936756\pi\) | |||||||
\(572\) | 14.9637 | − | 4.99561i | 0.625663 | − | 0.208877i | ||||
\(573\) | 8.58030 | − | 6.44767i | 0.358447 | − | 0.269355i | ||||
\(574\) | 66.4835 | 2.77497 | ||||||||
\(575\) | −0.169818 | − | 1.39858i | −0.00708191 | − | 0.0583248i | ||||
\(576\) | 10.5398 | − | 9.33744i | 0.439158 | − | 0.389060i | ||||
\(577\) | 10.8159 | + | 2.66589i | 0.450274 | + | 0.110982i | 0.457930 | − | 0.888988i | \(-0.348591\pi\) |
−0.00765644 | + | 0.999971i | \(0.502437\pi\) | |||||||
\(578\) | 18.2870 | − | 9.59775i | 0.760638 | − | 0.399214i | ||||
\(579\) | 4.45741 | − | 9.39379i | 0.185244 | − | 0.390393i | ||||
\(580\) | 31.6788 | − | 2.55738i | 1.31539 | − | 0.106189i | ||||
\(581\) | −1.37832 | − | 34.2027i | −0.0571825 | − | 1.41897i | ||||
\(582\) | −23.6243 | − | 12.3990i | −0.979260 | − | 0.513956i | ||||
\(583\) | −33.2635 | − | 34.6310i | −1.37763 | − | 1.43427i | ||||
\(584\) | 0.507492 | + | 2.48586i | 0.0210002 | + | 0.102866i | ||||
\(585\) | 10.2853 | − | 27.1201i | 0.425245 | − | 1.12128i | ||||
\(586\) | −0.210376 | + | 0.364383i | −0.00869057 | + | 0.0150525i | ||||
\(587\) | −3.87349 | − | 6.70909i | −0.159876 | − | 0.276914i | 0.774948 | − | 0.632025i | \(-0.217776\pi\) |
−0.934824 | + | 0.355112i | \(0.884443\pi\) | |||||||
\(588\) | 25.0175 | − | 43.3317i | 1.03171 | − | 1.78697i | ||||
\(589\) | −7.94323 | − | 13.7581i | −0.327295 | − | 0.566892i | ||||
\(590\) | 0.328737 | − | 1.13493i | 0.0135339 | − | 0.0467245i | ||||
\(591\) | −26.6986 | − | 23.6529i | −1.09823 | − | 0.972948i | ||||
\(592\) | −27.2570 | + | 4.42970i | −1.12026 | + | 0.182059i | ||||
\(593\) | 22.7704 | − | 32.9886i | 0.935067 | − | 1.35468i | 7.84482e−5 | − | 1.00000i | \(-0.499975\pi\) |
0.934988 | − | 0.354678i | \(-0.115410\pi\) | |||||||
\(594\) | −5.73645 | − | 1.91511i | −0.235370 | − | 0.0785779i | ||||
\(595\) | 3.84567 | − | 95.4293i | 0.157657 | − | 3.91222i | ||||
\(596\) | 5.45508 | + | 18.8331i | 0.223449 | + | 0.771435i | ||||
\(597\) | 16.6958 | + | 1.34782i | 0.683313 | + | 0.0551627i | ||||
\(598\) | 0.263644 | + | 0.555618i | 0.0107812 | + | 0.0227209i | ||||
\(599\) | −27.0321 | + | 6.66281i | −1.10450 | + | 0.272235i | −0.749086 | − | 0.662473i | \(-0.769507\pi\) |
−0.355416 | + | 0.934708i | \(0.615661\pi\) | |||||||
\(600\) | −10.5076 | − | 12.8695i | −0.428973 | − | 0.525396i | ||||
\(601\) | −20.3911 | − | 8.68784i | −0.831771 | − | 0.354384i | −0.0662560 | − | 0.997803i | \(-0.521105\pi\) |
−0.765515 | + | 0.643418i | \(0.777516\pi\) | |||||||
\(602\) | −0.490824 | + | 0.120977i | −0.0200045 | + | 0.00493067i | ||||
\(603\) | 8.02311 | − | 27.6990i | 0.326726 | − | 1.12799i | ||||
\(604\) | −1.52724e−5 | 0 | 0.000378981i | −6.21425e−7 | 0 | 1.54205e-5i | ||||
\(605\) | 3.57933 | − | 1.19496i | 0.145520 | − | 0.0485819i | ||||
\(606\) | −1.71984 | + | 42.6773i | −0.0698635 | + | 1.73365i | ||||
\(607\) | 4.02142 | + | 3.02190i | 0.163224 | + | 0.122655i | 0.679216 | − | 0.733939i | \(-0.262320\pi\) |
−0.515992 | + | 0.856594i | \(0.672576\pi\) | |||||||
\(608\) | −46.5617 | − | 19.8381i | −1.88833 | − | 0.804540i | ||||
\(609\) | 47.6209 | − | 3.84435i | 1.92969 | − | 0.155781i | ||||
\(610\) | 24.0398 | + | 18.0647i | 0.973342 | + | 0.731419i | ||||
\(611\) | −7.02207 | + | 6.22101i | −0.284083 | + | 0.251675i | ||||
\(612\) | −8.27033 | + | 21.8071i | −0.334308 | + | 0.881499i | ||||
\(613\) | −18.5828 | − | 6.20384i | −0.750551 | − | 0.250571i | −0.0844450 | − | 0.996428i | \(-0.526912\pi\) |
−0.666105 | + | 0.745858i | \(0.732040\pi\) | |||||||
\(614\) | −11.8907 | + | 41.0514i | −0.479868 | + | 1.65670i | ||||
\(615\) | −27.0689 | + | 71.3748i | −1.09152 | + | 2.87811i | ||||
\(616\) | 1.79799 | − | 8.80713i | 0.0724430 | − | 0.354849i | ||||
\(617\) | −13.0872 | − | 16.0289i | −0.526870 | − | 0.645299i | 0.440774 | − | 0.897618i | \(-0.354704\pi\) |
−0.967644 | + | 0.252319i | \(0.918807\pi\) | |||||||
\(618\) | 9.48970 | − | 6.00092i | 0.381732 | − | 0.241392i | ||||
\(619\) | 0.398201 | + | 1.04997i | 0.0160050 | + | 0.0422018i | 0.942781 | − | 0.333414i | \(-0.108201\pi\) |
−0.926776 | + | 0.375616i | \(0.877431\pi\) | |||||||
\(620\) | −16.1760 | − | 2.62885i | −0.649642 | − | 0.105577i | ||||
\(621\) | 0.0216189 | − | 0.105897i | 0.000867538 | − | 0.00424948i | ||||
\(622\) | −30.8826 | + | 10.3101i | −1.23828 | + | 0.413398i | ||||
\(623\) | 17.1775 | − | 17.8837i | 0.688203 | − | 0.716496i | ||||
\(624\) | 24.4338 | + | 15.4510i | 0.978135 | + | 0.618535i | ||||
\(625\) | 45.3943 | − | 34.1116i | 1.81577 | − | 1.36446i | ||||
\(626\) | −1.20435 | + | 0.296846i | −0.0481356 | + | 0.0118643i | ||||
\(627\) | −6.64931 | − | 54.7620i | −0.265548 | − | 2.18698i | ||||
\(628\) | −7.28163 | −0.290569 | ||||||||
\(629\) | 25.7285 | − | 19.3337i | 1.02586 | − | 0.770885i | ||||
\(630\) | 57.6315 | + | 70.5858i | 2.29610 | + | 2.81221i | ||||
\(631\) | 0.358647 | + | 2.95373i | 0.0142775 | + | 0.117586i | 0.998105 | − | 0.0615321i | \(-0.0195987\pi\) |
−0.983828 | + | 0.179118i | \(0.942676\pi\) | |||||||
\(632\) | 3.62564 | + | 5.25264i | 0.144220 | + | 0.208939i | ||||
\(633\) | −8.89385 | + | 10.8930i | −0.353499 | + | 0.432957i | ||||
\(634\) | 17.9065 | − | 15.8637i | 0.711156 | − | 0.630029i | ||||
\(635\) | 17.4646 | + | 36.8058i | 0.693061 | + | 1.46059i | ||||
\(636\) | −6.72591 | + | 55.3929i | −0.266700 | + | 2.19647i | ||||
\(637\) | 32.6862 | + | 8.05642i | 1.29507 | + | 0.319207i | ||||
\(638\) | −27.8861 | + | 11.8812i | −1.10402 | + | 0.470380i | ||||
\(639\) | 29.2605 | − | 18.5032i | 1.15753 | − | 0.731976i | ||||
\(640\) | 16.9712 | − | 8.90718i | 0.670846 | − | 0.352087i | ||||
\(641\) | −20.0481 | − | 17.7611i | −0.791854 | − | 0.701522i | 0.166833 | − | 0.985985i | \(-0.446646\pi\) |
−0.958687 | + | 0.284464i | \(0.908184\pi\) | |||||||
\(642\) | −13.2429 | − | 64.8683i | −0.522658 | − | 2.56015i | ||||
\(643\) | −3.33850 | + | 7.03573i | −0.131657 | + | 0.277462i | −0.958564 | − | 0.284877i | \(-0.908047\pi\) |
0.826907 | + | 0.562339i | \(0.190099\pi\) | |||||||
\(644\) | −0.882872 | − | 0.0712728i | −0.0347900 | − | 0.00280854i | ||||
\(645\) | 0.0699623 | − | 0.576191i | 0.00275476 | − | 0.0226875i | ||||
\(646\) | 68.0372 | − | 5.49253i | 2.67689 | − | 0.216101i | ||||
\(647\) | 0.630495 | + | 0.330909i | 0.0247873 | + | 0.0130094i | 0.477071 | − | 0.878865i | \(-0.341698\pi\) |
−0.452284 | + | 0.891874i | \(0.649391\pi\) | |||||||
\(648\) | −2.09360 | − | 5.52037i | −0.0822443 | − | 0.216860i | ||||
\(649\) | 0.0208020 | + | 0.516196i | 0.000816550 | + | 0.0202625i | ||||
\(650\) | −35.0126 | + | 50.7245i | −1.37331 | + | 1.98958i | ||||
\(651\) | −24.3164 | − | 3.95180i | −0.953034 | − | 0.154883i | ||||
\(652\) | 11.1752 | + | 5.86517i | 0.437653 | + | 0.229698i | ||||
\(653\) | 3.29064 | + | 11.3606i | 0.128773 | + | 0.444575i | 0.998829 | − | 0.0483773i | \(-0.0154050\pi\) |
−0.870057 | + | 0.492952i | \(0.835918\pi\) | |||||||
\(654\) | −15.6889 | − | 22.7293i | −0.613486 | − | 0.888787i | ||||
\(655\) | −53.3220 | − | 55.5141i | −2.08346 | − | 2.16911i | ||||
\(656\) | −29.9498 | − | 18.9391i | −1.16934 | − | 0.739449i | ||||
\(657\) | 11.1000 | + | 1.80392i | 0.433051 | + | 0.0703776i | ||||
\(658\) | −5.89546 | − | 28.8779i | −0.229829 | − | 1.12578i | ||||
\(659\) | −27.4336 | + | 33.6001i | −1.06866 | + | 1.30887i | −0.119934 | + | 0.992782i | \(0.538268\pi\) |
−0.948729 | + | 0.316092i | \(0.897629\pi\) | |||||||
\(660\) | −48.0967 | − | 30.4145i | −1.87216 | − | 1.18388i | ||||
\(661\) | −4.47916 | + | 11.8106i | −0.174219 | + | 0.459378i | −0.993475 | − | 0.114050i | \(-0.963618\pi\) |
0.819256 | + | 0.573428i | \(0.194387\pi\) | |||||||
\(662\) | 0.272100 | − | 6.75210i | 0.0105755 | − | 0.262428i | ||||
\(663\) | −33.5826 | − | 2.71107i | −1.30424 | − | 0.105289i | ||||
\(664\) | −2.28856 | + | 3.96389i | −0.0888132 | + | 0.153829i | ||||
\(665\) | 52.4124 | − | 110.457i | 2.03246 | − | 4.28333i | ||||
\(666\) | −6.14208 | + | 30.0859i | −0.238001 | + | 1.16581i | ||||
\(667\) | −0.270856 | − | 0.469137i | −0.0104876 | − | 0.0181651i | ||||
\(668\) | 19.5914 | − | 3.18391i | 0.758013 | − | 0.123189i | ||||
\(669\) | −26.6026 | − | 27.6963i | −1.02852 | − | 1.07080i | ||||
\(670\) | −43.5322 | + | 75.4000i | −1.68180 | + | 2.91296i | ||||
\(671\) | −12.4709 | − | 4.16341i | −0.481436 | − | 0.160727i | ||||
\(672\) | −69.4944 | + | 36.4735i | −2.68081 | + | 1.40700i | ||||
\(673\) | 9.93736 | + | 17.2120i | 0.383057 | + | 0.663474i | 0.991498 | − | 0.130125i | \(-0.0415380\pi\) |
−0.608441 | + | 0.793599i | \(0.708205\pi\) | |||||||
\(674\) | −10.1763 | − | 35.1325i | −0.391975 | − | 1.35325i | ||||
\(675\) | 10.2744 | − | 3.43011i | 0.395463 | − | 0.132025i | ||||
\(676\) | −2.69159 | + | 9.29246i | −0.103523 | + | 0.357402i | ||||
\(677\) | −1.55936 | + | 1.62346i | −0.0599309 | + | 0.0623947i | −0.750493 | − | 0.660879i | \(-0.770184\pi\) |
0.690562 | + | 0.723273i | \(0.257363\pi\) | |||||||
\(678\) | −1.12756 | − | 1.63355i | −0.0433036 | − | 0.0627361i | ||||
\(679\) | 19.3519 | + | 17.1443i | 0.742658 | + | 0.657937i | ||||
\(680\) | −7.25455 | + | 10.5100i | −0.278199 | + | 0.403041i | ||||
\(681\) | 11.7064 | − | 14.3377i | 0.448589 | − | 0.549422i | ||||
\(682\) | 15.4277 | − | 2.50724i | 0.590757 | − | 0.0960073i | ||||
\(683\) | −28.8021 | + | 29.9862i | −1.10208 | + | 1.14739i | −0.113996 | + | 0.993481i | \(0.536365\pi\) |
−0.988085 | + | 0.153907i | \(0.950814\pi\) | |||||||
\(684\) | −20.6820 | + | 21.5322i | −0.790795 | + | 0.823305i | ||||
\(685\) | −34.0676 | + | 49.3554i | −1.30165 | + | 1.88577i | ||||
\(686\) | −32.1450 | + | 33.4664i | −1.22730 | + | 1.27775i | ||||
\(687\) | −18.3650 | − | 63.4032i | −0.700667 | − | 2.41898i | ||||
\(688\) | 0.255572 | + | 0.0853224i | 0.00974358 | + | 0.00325288i | ||||
\(689\) | −37.0568 | + | 6.02231i | −1.41175 | + | 0.229432i | ||||
\(690\) | 0.951031 | − | 2.00425i | 0.0362051 | − | 0.0763007i | ||||
\(691\) | 0.222858 | − | 5.53017i | 0.00847793 | − | 0.210378i | −0.989398 | − | 0.145231i | \(-0.953607\pi\) |
0.997876 | − | 0.0651466i | \(-0.0207515\pi\) | |||||||
\(692\) | −6.93358 | + | 8.49209i | −0.263575 | + | 0.322821i | ||||
\(693\) | −33.6740 | − | 21.2941i | −1.27917 | − | 0.808897i | ||||
\(694\) | −17.0129 | − | 58.7354i | −0.645802 | − | 2.22957i | ||||
\(695\) | 30.1773 | − | 43.7193i | 1.14469 | − | 1.65837i | ||||
\(696\) | −5.65657 | − | 2.96879i | −0.214412 | − | 0.112532i | ||||
\(697\) | 41.1640 | + | 3.32310i | 1.55920 | + | 0.125871i | ||||
\(698\) | −14.0957 | − | 12.4877i | −0.533531 | − | 0.472667i | ||||
\(699\) | 29.6263 | − | 12.6226i | 1.12057 | − | 0.477431i | ||||
\(700\) | −38.0548 | − | 80.1987i | −1.43834 | − | 3.03123i | ||||
\(701\) | −19.5001 | − | 28.2507i | −0.736507 | − | 1.06701i | −0.994889 | − | 0.100972i | \(-0.967805\pi\) |
0.258382 | − | 0.966043i | \(-0.416811\pi\) | |||||||
\(702\) | −3.78005 | + | 2.84052i | −0.142669 | + | 0.107209i | ||||
\(703\) | 40.0013 | − | 9.85943i | 1.50868 | − | 0.371855i | ||||
\(704\) | 12.8759 | − | 13.4053i | 0.485281 | − | 0.505231i | ||||
\(705\) | 33.4028 | + | 5.42849i | 1.25802 | + | 0.204449i | ||||
\(706\) | 17.2340 | + | 21.1079i | 0.648612 | + | 0.794405i | ||||
\(707\) | 11.5151 | − | 39.7546i | 0.433068 | − | 1.49513i | ||||
\(708\) | 0.449355 | − | 0.398094i | 0.0168878 | − | 0.0149613i | ||||
\(709\) | −15.0660 | − | 6.41900i | −0.565814 | − | 0.241071i | 0.0900663 | − | 0.995936i | \(-0.471292\pi\) |
−0.655880 | + | 0.754865i | \(0.727702\pi\) | |||||||
\(710\) | −99.1433 | + | 33.0989i | −3.72078 | + | 1.24218i | ||||
\(711\) | 27.4675 | − | 6.77012i | 1.03011 | − | 0.253899i | ||||
\(712\) | −3.21938 | + | 0.793505i | −0.120651 | + | 0.0297378i | ||||
\(713\) | 0.0777151 | + | 0.268304i | 0.00291045 | + | 0.0100480i | ||||
\(714\) | 60.1294 | − | 87.1125i | 2.25029 | − | 3.26010i | ||||
\(715\) | 10.6523 | − | 36.7759i | 0.398372 | − | 1.37534i | ||||
\(716\) | −14.1983 | − | 24.5921i | −0.530614 | − | 0.919051i | ||||
\(717\) | 13.6405 | + | 66.8156i | 0.509414 | + | 2.49527i | ||||
\(718\) | −0.284709 | − | 7.06498i | −0.0106252 | − | 0.263663i | ||||
\(719\) | −9.30573 | + | 4.88403i | −0.347045 | + | 0.182143i | −0.629235 | − | 0.777215i | \(-0.716632\pi\) |
0.282190 | + | 0.959359i | \(0.408939\pi\) | |||||||
\(720\) | −5.85440 | − | 48.2153i | −0.218181 | − | 1.79688i | ||||
\(721\) | −10.3201 | + | 3.44536i | −0.384341 | + | 0.128312i | ||||
\(722\) | 48.2495 | + | 16.1080i | 1.79566 | + | 0.599479i | ||||
\(723\) | 0.784414 | + | 19.4650i | 0.0291727 | + | 0.723912i | ||||
\(724\) | 0.888238 | − | 22.0414i | 0.0330111 | − | 0.819162i | ||||
\(725\) | 27.1452 | − | 47.0169i | 1.00815 | − | 1.74617i | ||||
\(726\) | 4.06065 | + | 1.00086i | 0.150705 | + | 0.0371454i | ||||
\(727\) | −4.08604 | − | 3.07046i | −0.151543 | − | 0.113877i | 0.522266 | − | 0.852782i | \(-0.325087\pi\) |
−0.673809 | + | 0.738905i | \(0.735343\pi\) | |||||||
\(728\) | −4.86835 | − | 5.06849i | −0.180433 | − | 0.187851i | ||||
\(729\) | −19.6886 | −0.729208 | ||||||||
\(730\) | −31.2351 | − | 13.3080i | −1.15606 | − | 0.492553i | ||||
\(731\) | −0.309946 | + | 0.0503711i | −0.0114638 | + | 0.00186304i | ||||
\(732\) | 5.41769 | + | 14.2853i | 0.200244 | + | 0.527999i | ||||
\(733\) | −9.88862 | + | 0.798292i | −0.365244 | + | 0.0294856i | −0.261727 | − | 0.965142i | \(-0.584292\pi\) |
−0.103518 | + | 0.994628i | \(0.533010\pi\) | |||||||
\(734\) | 6.58814 | + | 11.4110i | 0.243173 | + | 0.421187i | ||||
\(735\) | −52.0587 | − | 109.711i | −1.92022 | − | 4.04677i | ||||
\(736\) | 0.711429 | + | 0.534604i | 0.0262236 | + | 0.0197058i | ||||
\(737\) | 7.61429 | − | 37.2972i | 0.280476 | − | 1.37386i | ||||
\(738\) | −31.5006 | + | 23.6711i | −1.15955 | + | 0.871346i | ||||
\(739\) | −22.9228 | + | 20.3078i | −0.843229 | + | 0.747036i | −0.969534 | − | 0.244956i | \(-0.921227\pi\) |
0.126305 | + | 0.991991i | \(0.459688\pi\) | |||||||
\(740\) | 18.2192 | − | 38.3962i | 0.669752 | − | 1.41147i | ||||
\(741\) | −38.1896 | − | 20.0435i | −1.40293 | − | 0.736315i | ||||
\(742\) | 41.8252 | − | 110.284i | 1.53545 | − | 4.04865i | ||||
\(743\) | −21.7771 | + | 37.7191i | −0.798925 | + | 1.38378i | 0.121392 | + | 0.992605i | \(0.461264\pi\) |
−0.920317 | + | 0.391173i | \(0.872069\pi\) | |||||||
\(744\) | 2.46567 | + | 2.18440i | 0.0903960 | + | 0.0800839i | ||||
\(745\) | 45.1381 | + | 15.0693i | 1.65373 | + | 0.552097i | ||||
\(746\) | −27.4466 | − | 2.21572i | −1.00489 | − | 0.0811232i | ||||
\(747\) | 12.8308 | + | 15.7149i | 0.469454 | + | 0.574977i | ||||
\(748\) | −8.56540 | + | 29.5712i | −0.313182 | + | 1.08123i | ||||
\(749\) | −2.58327 | + | 64.1031i | −0.0943906 | + | 2.34228i | ||||
\(750\) | 128.361 | − | 10.3624i | 4.68708 | − | 0.378380i | ||||
\(751\) | −6.06942 | + | 16.0038i | −0.221476 | + | 0.583985i | −0.998992 | − | 0.0448778i | \(-0.985710\pi\) |
0.777516 | + | 0.628863i | \(0.216479\pi\) | |||||||
\(752\) | −5.57061 | + | 14.6885i | −0.203139 | + | 0.535634i | ||||
\(753\) | 14.6723 | − | 9.27822i | 0.534689 | − | 0.338117i | ||||
\(754\) | −4.74041 | + | 23.2201i | −0.172636 | + | 0.845625i | ||||
\(755\) | −0.000778031 | 0 | 0.000491997i | −2.83154e−5 | 0 | 1.79056e-5i | ||||
\(756\) | −0.820854 | − | 6.76034i | −0.0298542 | − | 0.245871i | ||||
\(757\) | −1.02016 | − | 1.24947i | −0.0370784 | − | 0.0454128i | 0.755733 | − | 0.654880i | \(-0.227281\pi\) |
−0.792811 | + | 0.609467i | \(0.791383\pi\) | |||||||
\(758\) | −16.9017 | + | 20.7008i | −0.613897 | + | 0.751888i | ||||
\(759\) | −0.116915 | + | 0.962882i | −0.00424375 | + | 0.0349504i | ||||
\(760\) | −13.8172 | + | 8.73747i | −0.501203 | + | 0.316941i | ||||
\(761\) | 3.09215 | + | 15.1464i | 0.112090 | + | 0.549055i | 0.996590 | + | 0.0825141i | \(0.0262950\pi\) |
−0.884499 | + | 0.466541i | \(0.845500\pi\) | |||||||
\(762\) | −5.44235 | + | 44.8218i | −0.197156 | + | 1.62372i | ||||
\(763\) | 9.49014 | + | 25.0235i | 0.343566 | + | 0.905910i | ||||
\(764\) | −7.56856 | − | 1.23001i | −0.273821 | − | 0.0445002i | ||||
\(765\) | 32.1550 | + | 46.5846i | 1.16257 | + | 1.68427i | ||||
\(766\) | 33.9169 | + | 5.51203i | 1.22547 | + | 0.199158i | ||||
\(767\) | 0.341383 | + | 0.215878i | 0.0123266 | + | 0.00779489i | ||||
\(768\) | 46.6075 | + | 3.76255i | 1.68180 | + | 0.135769i | ||||
\(769\) | −7.17245 | + | 35.1330i | −0.258645 | + | 1.26693i | 0.618149 | + | 0.786061i | \(0.287883\pi\) |
−0.876794 | + | 0.480867i | \(0.840322\pi\) | |||||||
\(770\) | 83.3264 | + | 86.7520i | 3.00288 | + | 3.12632i | ||||
\(771\) | −53.9815 | + | 28.3317i | −1.94410 | + | 1.02034i | ||||
\(772\) | −7.04612 | + | 2.35234i | −0.253595 | + | 0.0846625i | ||||
\(773\) | 28.2463 | + | 40.9219i | 1.01595 | + | 1.47186i | 0.876365 | + | 0.481647i | \(0.159961\pi\) |
0.139584 | + | 0.990210i | \(0.455423\pi\) | |||||||
\(774\) | 0.189484 | − | 0.232076i | 0.00681086 | − | 0.00834179i | ||||
\(775\) | −19.3926 | + | 20.1898i | −0.696603 | + | 0.725240i | ||||
\(776\) | −0.961807 | − | 3.32054i | −0.0345269 | − | 0.119201i | ||||
\(777\) | 27.3879 | − | 57.7188i | 0.982536 | − | 2.07065i | ||||
\(778\) | 10.3742 | + | 6.56026i | 0.371934 | + | 0.235197i | ||||
\(779\) | 46.8111 | + | 24.5683i | 1.67718 | + | 0.880252i | ||||
\(780\) | −40.9317 | + | 17.4394i | −1.46559 | + | 0.624430i | ||||
\(781\) | 36.5342 | − | 27.4537i | 1.30730 | − | 0.982369i | ||||
\(782\) | −1.18465 | − | 0.192524i | −0.0423630 | − | 0.00688465i | ||||
\(783\) | 3.11749 | − | 2.76186i | 0.111410 | − | 0.0987007i | ||||
\(784\) | 54.7337 | − | 13.4906i | 1.95477 | − | 0.481809i | ||||
\(785\) | −10.0392 | + | 14.5443i | −0.358315 | + | 0.519108i | ||||
\(786\) | −17.0642 | − | 83.5862i | −0.608661 | − | 2.98142i | ||||
\(787\) | 4.97037 | + | 40.9347i | 0.177175 | + | 1.45917i | 0.761774 | + | 0.647843i | \(0.224329\pi\) |
−0.584599 | + | 0.811322i | \(0.698748\pi\) | |||||||
\(788\) | 1.02609 | + | 25.4622i | 0.0365530 | + | 0.907054i | ||||
\(789\) | −41.0933 | − | 10.1286i | −1.46296 | − | 0.360587i | ||||
\(790\) | −85.4098 | −3.03874 | ||||||||
\(791\) | 0.682054 | + | 1.79843i | 0.0242511 | + | 0.0639448i | ||||
\(792\) | 2.28383 | + | 4.81307i | 0.0811523 | + | 0.171025i | ||||
\(793\) | −8.21776 | + | 6.17525i | −0.291821 | + | 0.219289i | ||||
\(794\) | 29.2814 | + | 15.3681i | 1.03916 | + | 0.545392i | ||||
\(795\) | 101.369 | + | 89.8047i | 3.59517 | + | 3.18504i | ||||
\(796\) | −7.56832 | − | 9.26951i | −0.268252 | − | 0.328549i | ||||
\(797\) | 3.69623 | − | 0.298390i | 0.130927 | − | 0.0105695i | −0.0148293 | − | 0.999890i | \(-0.504720\pi\) |
0.145756 | + | 0.989321i | \(0.453438\pi\) | |||||||
\(798\) | 114.524 | − | 72.4207i | 4.05411 | − | 2.56367i | ||||
\(799\) | −2.20681 | − | 18.1747i | −0.0780713 | − | 0.642975i | ||||
\(800\) | −10.7502 | + | 88.5362i | −0.380078 | + | 3.13023i | ||||
\(801\) | −1.77148 | + | 14.5895i | −0.0625922 | + | 0.515493i | ||||
\(802\) | 21.9575 | + | 31.8109i | 0.775345 | + | 1.12328i | ||||
\(803\) | 14.7964 | + | 1.19449i | 0.522155 | + | 0.0421527i | ||||
\(804\) | −39.1683 | + | 20.5571i | −1.38136 | + | 0.724994i | ||||
\(805\) | −1.35958 | + | 1.66518i | −0.0479189 | + | 0.0586899i | ||||
\(806\) | 5.23876 | − | 11.0404i | 0.184527 | − | 0.388883i | ||||
\(807\) | −0.394503 | + | 0.168082i | −0.0138872 | + | 0.00591677i | ||||
\(808\) | −4.14246 | + | 3.66990i | −0.145731 | + | 0.129106i | ||||
\(809\) | −8.45037 | − | 41.3926i | −0.297099 | − | 1.45529i | −0.804693 | − | 0.593691i | \(-0.797670\pi\) |
0.507594 | − | 0.861596i | \(-0.330535\pi\) | |||||||
\(810\) | 76.7120 | + | 18.9078i | 2.69538 | + | 0.664353i | ||||
\(811\) | 23.5751 | + | 49.6835i | 0.827835 | + | 1.74462i | 0.649064 | + | 0.760734i | \(0.275161\pi\) |
0.178771 | + | 0.983891i | \(0.442788\pi\) | |||||||
\(812\) | −25.5485 | − | 22.6340i | −0.896576 | − | 0.794297i | ||||
\(813\) | 11.2902 | − | 7.13951i | 0.395966 | − | 0.250393i | ||||
\(814\) | −4.88578 | + | 40.2380i | −0.171247 | + | 1.41034i | ||||
\(815\) | 27.1223 | − | 14.2349i | 0.950053 | − | 0.498626i | ||||
\(816\) | −51.9031 | + | 22.1139i | −1.81697 | + | 0.774140i | ||||
\(817\) | −0.390295 | − | 0.0961992i | −0.0136547 | − | 0.00336558i | ||||
\(818\) | 63.0696 | − | 39.8828i | 2.20518 | − | 1.39447i | ||||
\(819\) | −28.6575 | + | 12.2098i | −1.00137 | + | 0.426646i | ||||
\(820\) | 50.1722 | − | 21.3764i | 1.75209 | − | 0.746496i | ||||
\(821\) | 19.5826 | − | 8.34337i | 0.683438 | − | 0.291186i | −0.0222050 | − | 0.999753i | \(-0.507069\pi\) |
0.705643 | + | 0.708568i | \(0.250658\pi\) | |||||||
\(822\) | −61.1472 | + | 26.0524i | −2.13275 | + | 0.908681i | ||||
\(823\) | 23.4134 | − | 14.8057i | 0.816138 | − | 0.516095i | −0.0599749 | − | 0.998200i | \(-0.519102\pi\) |
0.876113 | + | 0.482105i | \(0.160128\pi\) | |||||||
\(824\) | 1.41254 | + | 0.348161i | 0.0492083 | + | 0.0121288i | ||||
\(825\) | −89.4302 | + | 38.1026i | −3.11356 | + | 1.32656i | ||||
\(826\) | −1.12362 | + | 0.589721i | −0.0390957 | + | 0.0205190i | ||||
\(827\) | 2.44565 | − | 20.1417i | 0.0850435 | − | 0.700397i | −0.886366 | − | 0.462986i | \(-0.846778\pi\) |
0.971409 | − | 0.237411i | \(-0.0762988\pi\) | |||||||
\(828\) | 0.443690 | − | 0.280573i | 0.0154193 | − | 0.00975057i | ||||
\(829\) | 29.2525 | + | 25.9155i | 1.01598 | + | 0.900082i | 0.995018 | − | 0.0996987i | \(-0.0317879\pi\) |
0.0209644 | + | 0.999780i | \(0.493326\pi\) | |||||||
\(830\) | −26.2578 | − | 55.3372i | −0.911422 | − | 1.92078i | ||||
\(831\) | −49.1569 | − | 12.1161i | −1.70524 | − | 0.420303i | ||||
\(832\) | −2.90687 | − | 14.2388i | −0.100777 | − | 0.493641i | ||||
\(833\) | −49.1754 | + | 43.5656i | −1.70383 | + | 1.50946i | ||||
\(834\) | 54.1646 | − | 23.0774i | 1.87557 | − | 0.799104i | ||||
\(835\) | 20.6512 | − | 43.5214i | 0.714663 | − | 1.50612i | ||||
\(836\) | −24.9253 | + | 30.5279i | −0.862058 | + | 1.05583i | ||||
\(837\) | −1.90163 | + | 0.998053i | −0.0657300 | + | 0.0344977i | ||||
\(838\) | −25.0489 | − | 2.02216i | −0.865300 | − | 0.0698542i | ||||
\(839\) | 19.3066 | + | 27.9705i | 0.666539 | + | 0.965648i | 0.999740 | + | 0.0227925i | \(0.00725569\pi\) |
−0.333201 | + | 0.942856i | \(0.608129\pi\) | |||||||
\(840\) | −3.05575 | + | 25.1663i | −0.105433 | + | 0.868321i | ||||
\(841\) | −0.979354 | + | 8.06571i | −0.0337708 | + | 0.278128i | ||||
\(842\) | 3.52449 | + | 29.0268i | 0.121462 | + | 1.00033i | ||||
\(843\) | 33.3591 | − | 21.0950i | 1.14895 | − | 0.726551i | ||||
\(844\) | 10.0142 | − | 0.808428i | 0.344702 | − | 0.0278272i | ||||
\(845\) | 14.8498 | + | 18.1877i | 0.510849 | + | 0.625677i | ||||
\(846\) | 13.0752 | + | 11.5836i | 0.449533 | + | 0.398251i | ||||
\(847\) | −3.58841 | − | 1.88335i | −0.123299 | − | 0.0647125i | ||||
\(848\) | −50.2581 | + | 37.7665i | −1.72587 | + | 1.29691i | ||||
\(849\) | −16.2312 | − | 34.2066i | −0.557055 | − | 1.17397i | ||||
\(850\) | −42.6530 | − | 112.467i | −1.46299 | − | 3.85758i | ||||
\(851\) | −0.724393 | −0.0248319 | ||||||||
\(852\) | −51.5620 | − | 12.7089i | −1.76648 | − | 0.435399i | ||||
\(853\) | −0.343166 | − | 8.51557i | −0.0117498 | − | 0.291567i | −0.994372 | − | 0.105949i | \(-0.966212\pi\) |
0.982622 | − | 0.185619i | \(-0.0594290\pi\) | |||||||
\(854\) | −3.89269 | − | 32.0592i | −0.133205 | − | 1.09704i | ||||
\(855\) | 14.4941 | + | 70.9967i | 0.495687 | + | 2.42803i | ||||
\(856\) | 4.87313 | − | 7.05994i | 0.166560 | − | 0.241304i | ||||
\(857\) | 6.24256 | − | 1.53865i | 0.213242 | − | 0.0525594i | −0.131248 | − | 0.991350i | \(-0.541898\pi\) |
0.344489 | + | 0.938790i | \(0.388052\pi\) | |||||||
\(858\) | 31.7622 | − | 28.1388i | 1.08434 | − | 0.960644i | ||||
\(859\) | −5.60720 | − | 0.911259i | −0.191315 | − | 0.0310918i | 0.0639986 | − | 0.997950i | \(-0.479615\pi\) |
−0.255314 | + | 0.966858i | \(0.582179\pi\) | |||||||
\(860\) | −0.331506 | + | 0.249111i | −0.0113043 | + | 0.00849460i | ||||
\(861\) | 75.4209 | − | 32.1339i | 2.57034 | − | 1.09512i | ||||
\(862\) | −60.5709 | − | 31.7901i | −2.06305 | − | 1.08277i | ||||
\(863\) | 37.3197 | + | 23.5995i | 1.27038 | + | 0.803337i | 0.987773 | − | 0.155900i | \(-0.0498277\pi\) |
0.282603 | + | 0.959237i | \(0.408802\pi\) | |||||||
\(864\) | −2.93311 | + | 6.18140i | −0.0997864 | + | 0.210295i | ||||
\(865\) | 7.40273 | + | 25.5572i | 0.251700 | + | 0.868970i | ||||
\(866\) | −3.57746 | + | 3.72453i | −0.121567 | + | 0.126565i | ||||
\(867\) | 16.1064 | − | 19.7267i | 0.547001 | − | 0.669955i | ||||
\(868\) | 9.99808 | + | 14.4847i | 0.339357 | + | 0.491643i | ||||
\(869\) | 35.4213 | − | 11.8254i | 1.20158 | − | 0.401148i | ||||
\(870\) | 75.6962 | − | 39.7284i | 2.56634 | − | 1.34692i | ||||
\(871\) | −20.6170 | − | 21.4645i | −0.698579 | − | 0.727298i | ||||
\(872\) | 0.715800 | − | 3.50622i | 0.0242401 | − | 0.118736i | ||||
\(873\) | −15.2733 | − | 1.23299i | −0.516922 | − | 0.0417302i | ||||
\(874\) | −1.29855 | − | 0.821153i | −0.0439241 | − | 0.0277759i | ||||
\(875\) | −123.173 | − | 20.0176i | −4.16401 | − | 0.676717i | ||||
\(876\) | −9.79918 | − | 14.1966i | −0.331084 | − | 0.479657i | ||||
\(877\) | 16.0462 | + | 2.60777i | 0.541843 | + | 0.0880581i | 0.425172 | − | 0.905113i | \(-0.360214\pi\) |
0.116671 | + | 0.993171i | \(0.462778\pi\) | |||||||
\(878\) | −11.9467 | − | 31.5008i | −0.403181 | − | 1.06310i | ||||
\(879\) | −0.0625383 | + | 0.515049i | −0.00210936 | + | 0.0173722i | ||||
\(880\) | −12.8243 | − | 62.8176i | −0.432307 | − | 2.11758i | ||||
\(881\) | 26.9105 | − | 17.0171i | 0.906636 | − | 0.573322i | 0.00223137 | − | 0.999998i | \(-0.499290\pi\) |
0.904405 | + | 0.426676i | \(0.140315\pi\) | |||||||
\(882\) | 7.55565 | − | 62.2264i | 0.254412 | − | 2.09527i | ||||
\(883\) | −32.6750 | + | 40.0196i | −1.09960 | + | 1.34677i | −0.166957 | + | 0.985964i | \(0.553394\pi\) |
−0.932643 | + | 0.360801i | \(0.882503\pi\) | |||||||
\(884\) | 15.2232 | + | 18.6451i | 0.512013 | + | 0.627102i | ||||
\(885\) | −0.175624 | − | 1.44639i | −0.00590354 | − | 0.0486200i | ||||
\(886\) | −28.3067 | − | 17.9001i | −0.950981 | − | 0.601364i | ||||
\(887\) | 9.28371 | − | 45.4746i | 0.311716 | − | 1.52689i | −0.458262 | − | 0.888817i | \(-0.651528\pi\) |
0.769978 | − | 0.638070i | \(-0.220267\pi\) | |||||||
\(888\) | −7.22013 | + | 4.56574i | −0.242292 | + | 0.153216i | ||||
\(889\) | 15.5148 | − | 40.9090i | 0.520348 | − | 1.37204i | ||||
\(890\) | 15.7342 | − | 41.4877i | 0.527411 | − | 1.39067i | ||||
\(891\) | −34.4320 | + | 2.77964i | −1.15351 | + | 0.0931213i | ||||
\(892\) | −1.10474 | + | 27.4139i | −0.0369895 | + | 0.917886i | ||||
\(893\) | 6.52054 | − | 22.5115i | 0.218202 | − | 0.753319i | ||||
\(894\) | 33.3555 | + | 40.8531i | 1.11558 | + | 1.36633i | ||||
\(895\) | −68.6954 | − | 5.54567i | −2.29623 | − | 0.185371i | ||||
\(896\) | −19.5249 | − | 6.51835i | −0.652280 | − | 0.217763i | ||||
\(897\) | 0.567636 | + | 0.502881i | 0.0189528 | + | 0.0167907i | ||||
\(898\) | −17.2801 | + | 29.9301i | −0.576645 | + | 0.998779i | ||||
\(899\) | −3.81702 | + | 10.0646i | −0.127305 | + | 0.335675i | ||||
\(900\) | 46.5851 | + | 24.4497i | 1.55284 | + | 0.814992i | ||||
\(901\) | 31.4089 | − | 66.1929i | 1.04638 | − | 2.20520i | ||||
\(902\) | −38.9326 | + | 34.4913i | −1.29632 | + | 1.14844i | ||||
\(903\) | −0.498333 | + | 0.374473i | −0.0165835 | + | 0.0124617i | ||||
\(904\) | 0.0514444 | − | 0.251991i | 0.00171101 | − | 0.00838111i | ||||
\(905\) | −42.8008 | − | 32.1627i | −1.42275 | − | 1.06912i | ||||
\(906\) | −0.000437364 | 0 | 0.000921726i | −1.45305e−5 | 0 | 3.06223e-5i | ||||
\(907\) | 1.83284 | + | 3.17457i | 0.0608585 | + | 0.105410i | 0.894849 | − | 0.446368i | \(-0.147283\pi\) |
−0.833991 | + | 0.551778i | \(0.813950\pi\) | |||||||
\(908\) | −13.1810 | + | 1.06408i | −0.437426 | + | 0.0353127i | ||||
\(909\) | 8.69848 | + | 22.9360i | 0.288510 | + | 0.760739i | ||||
\(910\) | 92.8286 | − | 15.0861i | 3.07724 | − | 0.500100i | ||||
\(911\) | 0.191428 | + | 0.0815599i | 0.00634229 | + | 0.00270220i | 0.395135 | − | 0.918623i | \(-0.370698\pi\) |
−0.388793 | + | 0.921325i | \(0.627108\pi\) | |||||||
\(912\) | −72.2219 | −2.39151 | ||||||||
\(913\) | 18.5514 | + | 19.3140i | 0.613960 | + | 0.639200i | ||||
\(914\) | −1.85509 | − | 1.39401i | −0.0613609 | − | 0.0461097i | ||||
\(915\) | 36.0028 | + | 8.87389i | 1.19022 | + | 0.293362i | ||||
\(916\) | −23.5795 | + | 40.8409i | −0.779089 | + | 1.34942i | ||||
\(917\) | −3.32868 | + | 82.6003i | −0.109923 | + | 2.72770i | ||||
\(918\) | −0.371558 | − | 9.22012i | −0.0122632 | − | 0.304309i | ||||
\(919\) | −15.3430 | − | 5.12225i | −0.506119 | − | 0.168967i | 0.0521309 | − | 0.998640i | \(-0.483399\pi\) |
−0.558250 | + | 0.829673i | \(0.688527\pi\) | |||||||
\(920\) | 0.272655 | − | 0.0910256i | 0.00898917 | − | 0.00300103i | ||||
\(921\) | 6.35245 | + | 52.3171i | 0.209320 | + | 1.72391i | ||||
\(922\) | −48.2353 | + | 25.3159i | −1.58855 | + | 0.833733i | ||||
\(923\) | −1.43870 | − | 35.7010i | −0.0473554 | − | 1.17511i | ||||
\(924\) | 12.2246 | + | 59.8801i | 0.402160 | + | 1.96991i | ||||
\(925\) | −36.2993 | − | 62.8723i | −1.19352 | − | 2.06723i | ||||
\(926\) | 12.2013 | − | 42.1238i | 0.400959 | − | 1.38427i | ||||
\(927\) | 3.66307 | − | 5.30688i | 0.120311 | − | 0.174301i | ||||
\(928\) | 9.54085 | + | 32.9388i | 0.313194 | + | 1.08127i | ||||
\(929\) | 11.7641 | − | 2.89959i | 0.385968 | − | 0.0951325i | −0.0415570 | − | 0.999136i | \(-0.513232\pi\) |
0.427525 | + | 0.904004i | \(0.359386\pi\) | |||||||
\(930\) | −42.8008 | + | 10.5495i | −1.40349 | + | 0.345930i | ||||
\(931\) | −79.7732 | + | 26.6322i | −2.61446 | + | 0.872836i | ||||
\(932\) | −21.1659 | − | 9.01795i | −0.693313 | − | 0.295393i | ||||
\(933\) | −30.0509 | + | 26.6228i | −0.983822 | + | 0.871591i | ||||
\(934\) | −1.42753 | + | 4.92839i | −0.0467101 | + | 0.161262i | ||||
\(935\) | 47.2562 | + | 57.8784i | 1.54544 | + | 1.89283i | ||||
\(936\) | 4.11128 | + | 0.668149i | 0.134382 | + | 0.0218391i | ||||
\(937\) | −21.0197 | + | 21.8838i | −0.686684 | + | 0.714913i | −0.969726 | − | 0.244194i | \(-0.921477\pi\) |
0.283043 | + | 0.959107i | \(0.408656\pi\) | |||||||
\(938\) | 90.7867 | − | 22.3769i | 2.96429 | − | 0.730632i | ||||
\(939\) | −1.22278 | + | 0.918857i | −0.0399038 | + | 0.0299858i | ||||
\(940\) | −13.7341 | − | 19.8973i | −0.447958 | − | 0.648979i | ||||
\(941\) | 10.2411 | + | 21.5827i | 0.333851 | + | 0.703576i | 0.999072 | − | 0.0430703i | \(-0.0137139\pi\) |
−0.665221 | + | 0.746647i | \(0.731663\pi\) | |||||||
\(942\) | −18.0192 | + | 7.67725i | −0.587096 | + | 0.250138i | ||||
\(943\) | −0.695782 | − | 0.616409i | −0.0226578 | − | 0.0200730i | ||||
\(944\) | 0.674168 | + | 0.0544244i | 0.0219423 | + | 0.00177136i | ||||
\(945\) | −14.6348 | − | 7.68093i | −0.476070 | − | 0.249861i | ||||
\(946\) | 0.224663 | − | 0.325481i | 0.00730444 | − | 0.0105823i | ||||
\(947\) | −10.9905 | − | 37.9437i | −0.357144 | − | 1.23301i | −0.915131 | − | 0.403156i | \(-0.867913\pi\) |
0.557987 | − | 0.829850i | \(-0.311574\pi\) | |||||||
\(948\) | −36.6766 | − | 23.1929i | −1.19120 | − | 0.753269i | ||||
\(949\) | 7.34025 | − | 8.99018i | 0.238275 | − | 0.291834i | ||||
\(950\) | 6.20007 | − | 153.853i | 0.201157 | − | 4.99166i | ||||
\(951\) | 12.6461 | − | 26.6511i | 0.410079 | − | 0.864222i | ||||
\(952\) | 13.5375 | − | 2.20006i | 0.438754 | − | 0.0713044i | ||||
\(953\) | −46.6143 | − | 15.5621i | −1.50998 | − | 0.504107i | −0.563295 | − | 0.826256i | \(-0.690467\pi\) |
−0.946689 | + | 0.322149i | \(0.895595\pi\) | |||||||
\(954\) | 19.4489 | + | 67.1453i | 0.629680 | + | 2.17391i | ||||
\(955\) | −12.8916 | + | 13.4216i | −0.417163 | + | 0.434313i | ||||
\(956\) | 27.6759 | − | 40.0955i | 0.895102 | − | 1.29678i | ||||
\(957\) | −25.8923 | + | 26.9567i | −0.836978 | + | 0.871387i | ||||
\(958\) | 24.5624 | − | 25.5722i | 0.793575 | − | 0.826199i | ||||
\(959\) | 63.5726 | − | 10.3316i | 2.05287 | − | 0.333623i | ||||
\(960\) | −33.1542 | + | 40.6066i | −1.07005 | + | 1.31057i | ||||
\(961\) | −14.4570 | + | 20.9445i | −0.466354 | + | 0.675630i | ||||
\(962\) | 23.7210 | + | 21.0150i | 0.764797 | + | 0.677551i | ||||
\(963\) | −21.5996 | − | 31.2925i | −0.696038 | − | 1.00839i | ||||
\(964\) | 9.64111 | − | 10.0375i | 0.310519 | − | 0.323285i | ||||
\(965\) | −5.01595 | + | 17.3171i | −0.161469 | + | 0.557456i | ||||
\(966\) | −2.25991 | + | 0.754467i | −0.0727113 | + | 0.0242746i | ||||
\(967\) | 7.85817 | + | 27.1296i | 0.252702 | + | 0.872428i | 0.982103 | + | 0.188342i | \(0.0603114\pi\) |
−0.729402 | + | 0.684086i | \(0.760201\pi\) | |||||||
\(968\) | 0.270947 | + | 0.469293i | 0.00870855 | + | 0.0150837i | ||||
\(969\) | 74.5288 | − | 39.1157i | 2.39421 | − | 1.25658i | ||||
\(970\) | 43.8812 | + | 14.6497i | 1.40894 | + | 0.470374i | ||||
\(971\) | 17.7567 | − | 30.7555i | 0.569839 | − | 0.986990i | −0.426742 | − | 0.904373i | \(-0.640339\pi\) |
0.996581 | − | 0.0826171i | \(-0.0263279\pi\) | |||||||
\(972\) | 24.6000 | + | 25.6114i | 0.789047 | + | 0.821485i | ||||
\(973\) | −56.3131 | + | 9.15176i | −1.80531 | + | 0.293392i | ||||
\(974\) | 29.5879 | + | 51.2477i | 0.948056 | + | 1.64208i | ||||
\(975\) | −15.2024 | + | 74.4663i | −0.486867 | + | 2.38483i | ||||
\(976\) | −7.37909 | + | 15.5511i | −0.236199 | + | 0.497779i | ||||
\(977\) | −5.20483 | + | 9.01502i | −0.166517 | + | 0.288416i | −0.937193 | − | 0.348811i | \(-0.886585\pi\) |
0.770676 | + | 0.637227i | \(0.219919\pi\) | |||||||
\(978\) | 33.8379 | + | 2.73168i | 1.08202 | + | 0.0873495i | ||||
\(979\) | −0.781160 | + | 19.3843i | −0.0249660 | + | 0.619525i | ||||
\(980\) | −30.7646 | + | 81.1196i | −0.982740 | + | 2.59127i | ||||
\(981\) | −13.4060 | − | 8.47744i | −0.428021 | − | 0.270664i | ||||
\(982\) | −1.14404 | + | 1.40119i | −0.0365076 | + | 0.0447137i | ||||
\(983\) | 3.89065 | + | 19.0577i | 0.124092 | + | 0.607845i | 0.993508 | + | 0.113763i | \(0.0362905\pi\) |
−0.869415 | + | 0.494082i | \(0.835504\pi\) | |||||||
\(984\) | −10.8201 | − | 1.75844i | −0.344932 | − | 0.0560569i | ||||
\(985\) | 52.2729 | + | 33.0553i | 1.66555 | + | 1.05323i | ||||
\(986\) | −32.0383 | − | 33.3554i | −1.02031 | − | 1.06225i | ||||
\(987\) | −20.6457 | − | 29.9105i | −0.657160 | − | 0.952060i | ||||
\(988\) | 8.57278 | + | 29.5967i | 0.272736 | + | 0.941596i | ||||
\(989\) | 0.00625836 | + | 0.00328464i | 0.000199004 | + | 0.000104446i | ||||
\(990\) | −70.3685 | − | 11.4360i | −2.23646 | − | 0.363460i | ||||
\(991\) | −13.3573 | + | 19.3514i | −0.424309 | + | 0.614718i | −0.975589 | − | 0.219602i | \(-0.929524\pi\) |
0.551281 | + | 0.834320i | \(0.314139\pi\) | |||||||
\(992\) | −0.712020 | − | 17.6686i | −0.0226067 | − | 0.560979i | ||||
\(993\) | −2.95485 | − | 7.79130i | −0.0937694 | − | 0.247250i | ||||
\(994\) | 99.3950 | + | 52.1665i | 3.15262 | + | 1.65462i | ||||
\(995\) | −28.9493 | + | 2.33703i | −0.917756 | + | 0.0740889i | ||||
\(996\) | 3.75110 | − | 30.8931i | 0.118858 | − | 0.978885i | ||||
\(997\) | 50.6576 | + | 4.08950i | 1.60434 | + | 0.129516i | 0.849933 | − | 0.526890i | \(-0.176642\pi\) |
0.754408 | + | 0.656406i | \(0.227924\pi\) | |||||||
\(998\) | −1.76356 | + | 3.71662i | −0.0558245 | + | 0.117648i | ||||
\(999\) | −1.11403 | − | 5.45689i | −0.0352464 | − | 0.172648i |
(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 | 547.2.j.a.11.9 | ✓ | 1080 | |
547.199 | even | 39 | inner | 547.2.j.a.199.9 | yes | 1080 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
547.2.j.a.11.9 | ✓ | 1080 | 1.1 | even | 1 | trivial | |
547.2.j.a.199.9 | yes | 1080 | 547.199 | even | 39 | inner |