Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [370,2,Mod(17,370)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(370, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([9, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("370.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 370 = 2 \cdot 5 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 370.ba (of order \(36\), degree \(12\), 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: | \(2.95446487479\) |
Analytic rank: | \(0\) |
Dimension: | \(108\) |
Relative dimension: | \(9\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 283.9 | ||
Character | \(\chi\) | \(=\) | 370.283 |
Dual form | 370.2.ba.a.17.9 |
$q$-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 \(\left(\mathbb{Z}/370\mathbb{Z}\right)^\times\).
\(n\) | \(261\) | \(297\) |
\(\chi(n)\) | \(e\left(\frac{29}{36}\right)\) | \(e\left(\frac{3}{4}\right)\) |
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 | ||||
\(3\) | 2.40138 | + | 1.68147i | 1.38644 | + | 0.970795i | 0.998800 | + | 0.0489834i | \(0.0155982\pi\) |
0.387639 | + | 0.921811i | \(0.373291\pi\) | |||||||
\(4\) | −0.939693 | − | 0.342020i | −0.469846 | − | 0.171010i | ||||
\(5\) | −1.06638 | + | 1.96541i | −0.476898 | + | 0.878958i | ||||
\(6\) | 2.07292 | − | 2.07292i | 0.846264 | − | 0.846264i | ||||
\(7\) | −0.0272851 | + | 0.311870i | −0.0103128 | + | 0.117876i | −0.999606 | − | 0.0280651i | \(-0.991065\pi\) |
0.989293 | + | 0.145941i | \(0.0466210\pi\) | |||||||
\(8\) | −0.500000 | + | 0.866025i | −0.176777 | + | 0.306186i | ||||
\(9\) | 1.91325 | + | 5.25661i | 0.637749 | + | 1.75220i | ||||
\(10\) | 1.75038 | + | 1.39147i | 0.553518 | + | 0.440020i | ||||
\(11\) | −0.336134 | − | 0.194067i | −0.101348 | − | 0.0585133i | 0.448469 | − | 0.893798i | \(-0.351969\pi\) |
−0.549817 | + | 0.835285i | \(0.685303\pi\) | |||||||
\(12\) | −1.68147 | − | 2.40138i | −0.485397 | − | 0.693219i | ||||
\(13\) | 1.10478 | + | 0.402107i | 0.306411 | + | 0.111524i | 0.490649 | − | 0.871357i | \(-0.336760\pi\) |
−0.184238 | + | 0.982882i | \(0.558982\pi\) | |||||||
\(14\) | 0.302394 | + | 0.0810263i | 0.0808183 | + | 0.0216552i | ||||
\(15\) | −5.86555 | + | 2.92663i | −1.51448 | + | 0.755652i | ||||
\(16\) | 0.766044 | + | 0.642788i | 0.191511 | + | 0.160697i | ||||
\(17\) | 0.856703 | + | 2.35377i | 0.207781 | + | 0.570874i | 0.999183 | − | 0.0404229i | \(-0.0128705\pi\) |
−0.791402 | + | 0.611296i | \(0.790648\pi\) | |||||||
\(18\) | 5.50898 | − | 0.971381i | 1.29848 | − | 0.228957i | ||||
\(19\) | 3.50398 | − | 5.00421i | 0.803869 | − | 1.14804i | −0.182454 | − | 0.983214i | \(-0.558404\pi\) |
0.986322 | − | 0.164829i | \(-0.0527072\pi\) | |||||||
\(20\) | 1.67428 | − | 1.48216i | 0.374380 | − | 0.331421i | ||||
\(21\) | −0.589921 | + | 0.703041i | −0.128731 | + | 0.153416i | ||||
\(22\) | −0.249487 | + | 0.297328i | −0.0531909 | + | 0.0633905i | ||||
\(23\) | 0.00670387 | + | 0.0116114i | 0.00139785 | + | 0.00242115i | 0.866723 | − | 0.498789i | \(-0.166222\pi\) |
−0.865326 | + | 0.501210i | \(0.832888\pi\) | |||||||
\(24\) | −2.65688 | + | 1.23892i | −0.542334 | + | 0.252894i | ||||
\(25\) | −2.72568 | − | 4.19174i | −0.545136 | − | 0.838348i | ||||
\(26\) | 0.587841 | − | 1.01817i | 0.115285 | − | 0.199680i | ||||
\(27\) | −1.96814 | + | 7.34521i | −0.378769 | + | 1.41359i | ||||
\(28\) | 0.132306 | − | 0.283730i | 0.0250034 | − | 0.0536200i | ||||
\(29\) | 1.46909 | + | 5.48271i | 0.272803 | + | 1.01811i | 0.957300 | + | 0.289098i | \(0.0933553\pi\) |
−0.684497 | + | 0.729016i | \(0.739978\pi\) | |||||||
\(30\) | 1.86362 | + | 6.28464i | 0.340249 | + | 1.14741i | ||||
\(31\) | −1.63301 | − | 1.63301i | −0.293298 | − | 0.293298i | 0.545084 | − | 0.838382i | \(-0.316498\pi\) |
−0.838382 | + | 0.545084i | \(0.816498\pi\) | |||||||
\(32\) | 0.766044 | − | 0.642788i | 0.135419 | − | 0.113630i | ||||
\(33\) | −0.480868 | − | 1.03123i | −0.0837084 | − | 0.179513i | ||||
\(34\) | 2.46678 | − | 0.434959i | 0.423049 | − | 0.0745949i | ||||
\(35\) | −0.583857 | − | 0.386198i | −0.0986898 | − | 0.0652793i | ||||
\(36\) | − | 5.59396i | − | 0.932327i | ||||||
\(37\) | −2.74292 | − | 5.42922i | −0.450934 | − | 0.892557i | ||||
\(38\) | −4.31972 | − | 4.31972i | −0.700751 | − | 0.700751i | ||||
\(39\) | 1.97687 | + | 2.82326i | 0.316553 | + | 0.452084i | ||||
\(40\) | −1.16891 | − | 1.90622i | −0.184820 | − | 0.301399i | ||||
\(41\) | 3.16243 | − | 8.68870i | 0.493888 | − | 1.35695i | −0.403207 | − | 0.915109i | \(-0.632104\pi\) |
0.897095 | − | 0.441838i | \(-0.145673\pi\) | |||||||
\(42\) | 0.589921 | + | 0.703041i | 0.0910268 | + | 0.108482i | ||||
\(43\) | −9.85100 | −1.50226 | −0.751132 | − | 0.660152i | \(-0.770492\pi\) | ||||
−0.751132 | + | 0.660152i | \(0.770492\pi\) | |||||||
\(44\) | 0.249487 | + | 0.297328i | 0.0376117 | + | 0.0448238i | ||||
\(45\) | −12.3716 | − | 1.84521i | −1.84425 | − | 0.275067i | ||||
\(46\) | 0.0125992 | − | 0.00458572i | 0.00185764 | − | 0.000676127i | ||||
\(47\) | 3.99887 | + | 1.07149i | 0.583294 | + | 0.156293i | 0.538387 | − | 0.842698i | \(-0.319034\pi\) |
0.0449077 | + | 0.998991i | \(0.485701\pi\) | |||||||
\(48\) | 0.758740 | + | 2.83166i | 0.109515 | + | 0.408714i | ||||
\(49\) | 6.79714 | + | 1.19852i | 0.971019 | + | 0.171217i | ||||
\(50\) | −4.60137 | + | 1.95638i | −0.650731 | + | 0.276674i | ||||
\(51\) | −1.90052 | + | 7.09282i | −0.266125 | + | 0.993194i | ||||
\(52\) | −0.900625 | − | 0.755714i | −0.124894 | − | 0.104799i | ||||
\(53\) | −0.404022 | − | 4.61800i | −0.0554967 | − | 0.634330i | −0.972105 | − | 0.234545i | \(-0.924640\pi\) |
0.916609 | − | 0.399786i | \(-0.130915\pi\) | |||||||
\(54\) | 6.89186 | + | 3.21373i | 0.937863 | + | 0.437333i | ||||
\(55\) | 0.739866 | − | 0.453692i | 0.0997635 | − | 0.0611758i | ||||
\(56\) | −0.256445 | − | 0.179565i | −0.0342689 | − | 0.0239953i | ||||
\(57\) | 16.8288 | − | 6.12518i | 2.22903 | − | 0.811300i | ||||
\(58\) | 5.65452 | − | 0.494706i | 0.742475 | − | 0.0649581i | ||||
\(59\) | −0.834962 | − | 9.54366i | −0.108703 | − | 1.24248i | −0.833111 | − | 0.553107i | \(-0.813442\pi\) |
0.724408 | − | 0.689372i | \(-0.242113\pi\) | |||||||
\(60\) | 6.51278 | − | 0.743992i | 0.840796 | − | 0.0960490i | ||||
\(61\) | −2.39133 | − | 5.12822i | −0.306178 | − | 0.656602i | 0.691667 | − | 0.722217i | \(-0.256877\pi\) |
−0.997845 | + | 0.0656153i | \(0.979099\pi\) | |||||||
\(62\) | −1.89178 | + | 1.32464i | −0.240256 | + | 0.168229i | ||||
\(63\) | −1.69158 | + | 0.453258i | −0.213119 | + | 0.0571051i | ||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | −1.96842 | + | 1.74255i | −0.244152 | + | 0.216137i | ||||
\(66\) | −1.09906 | + | 0.294492i | −0.135285 | + | 0.0362495i | ||||
\(67\) | 13.1456 | + | 1.15009i | 1.60599 | + | 0.140506i | 0.854576 | − | 0.519326i | \(-0.173817\pi\) |
0.751413 | + | 0.659832i | \(0.229373\pi\) | |||||||
\(68\) | − | 2.50483i | − | 0.303755i | ||||||
\(69\) | −0.00342569 | + | 0.0391559i | −0.000412405 | + | 0.00471381i | ||||
\(70\) | −0.481716 | + | 0.507924i | −0.0575761 | + | 0.0607086i | ||||
\(71\) | −0.00507722 | − | 0.0287943i | −0.000602555 | − | 0.00341726i | 0.984505 | − | 0.175357i | \(-0.0561078\pi\) |
−0.985108 | + | 0.171939i | \(0.944997\pi\) | |||||||
\(72\) | −5.50898 | − | 0.971381i | −0.649239 | − | 0.114478i | ||||
\(73\) | −1.83480 | + | 1.83480i | −0.214747 | + | 0.214747i | −0.806281 | − | 0.591533i | \(-0.798523\pi\) |
0.591533 | + | 0.806281i | \(0.298523\pi\) | |||||||
\(74\) | −5.82304 | + | 1.75848i | −0.676914 | + | 0.204419i | ||||
\(75\) | 0.502866 | − | 14.6491i | 0.0580659 | − | 1.69153i | ||||
\(76\) | −5.00421 | + | 3.50398i | −0.574022 | + | 0.401934i | ||||
\(77\) | 0.0696951 | − | 0.0995349i | 0.00794250 | − | 0.0113431i | ||||
\(78\) | 3.12365 | − | 1.45658i | 0.353684 | − | 0.164926i | ||||
\(79\) | −11.5452 | − | 1.01007i | −1.29894 | − | 0.113642i | −0.583381 | − | 0.812199i | \(-0.698270\pi\) |
−0.715555 | + | 0.698557i | \(0.753826\pi\) | |||||||
\(80\) | −2.08023 | + | 0.820138i | −0.232577 | + | 0.0916942i | ||||
\(81\) | −4.22131 | + | 3.54210i | −0.469035 | + | 0.393567i | ||||
\(82\) | −8.00755 | − | 4.62316i | −0.884286 | − | 0.510543i | ||||
\(83\) | 14.8888 | + | 6.94277i | 1.63426 | + | 0.762068i | 0.999939 | − | 0.0110008i | \(-0.00350174\pi\) |
0.634322 | + | 0.773069i | \(0.281280\pi\) | |||||||
\(84\) | 0.794799 | − | 0.458877i | 0.0867196 | − | 0.0500676i | ||||
\(85\) | −5.53970 | − | 0.826235i | −0.600865 | − | 0.0896178i | ||||
\(86\) | −1.71061 | + | 9.70134i | −0.184460 | + | 1.04612i | ||||
\(87\) | −5.69115 | + | 15.6363i | −0.610155 | + | 1.67639i | ||||
\(88\) | 0.336134 | − | 0.194067i | 0.0358320 | − | 0.0206876i | ||||
\(89\) | −13.5048 | + | 1.18152i | −1.43151 | + | 0.125241i | −0.776374 | − | 0.630273i | \(-0.782943\pi\) |
−0.655133 | + | 0.755514i | \(0.727387\pi\) | |||||||
\(90\) | −3.96548 | + | 11.8633i | −0.417999 | + | 1.25050i | ||||
\(91\) | −0.155549 | + | 0.333577i | −0.0163060 | + | 0.0349683i | ||||
\(92\) | −0.00232823 | − | 0.0132041i | −0.000242735 | − | 0.00137662i | ||||
\(93\) | −1.17563 | − | 6.66735i | −0.121908 | − | 0.691372i | ||||
\(94\) | 1.74961 | − | 3.75205i | 0.180459 | − | 0.386995i | ||||
\(95\) | 6.09875 | + | 12.2231i | 0.625719 | + | 1.25407i | ||||
\(96\) | 2.92039 | − | 0.255501i | 0.298061 | − | 0.0260770i | ||||
\(97\) | 7.27335 | − | 4.19927i | 0.738497 | − | 0.426371i | −0.0830256 | − | 0.996547i | \(-0.526458\pi\) |
0.821523 | + | 0.570176i | \(0.193125\pi\) | |||||||
\(98\) | 2.36062 | − | 6.48575i | 0.238459 | − | 0.655160i | ||||
\(99\) | 0.377026 | − | 2.13822i | 0.0378925 | − | 0.214899i | ||||
\(100\) | 1.12764 | + | 4.87118i | 0.112764 | + | 0.487118i | ||||
\(101\) | −17.0070 | + | 9.81897i | −1.69226 | + | 0.977024i | −0.739563 | + | 0.673087i | \(0.764968\pi\) |
−0.952692 | + | 0.303937i | \(0.901699\pi\) | |||||||
\(102\) | 6.65505 | + | 3.10330i | 0.658948 | + | 0.307272i | ||||
\(103\) | −1.57751 | − | 0.910774i | −0.155436 | − | 0.0897412i | 0.420264 | − | 0.907402i | \(-0.361937\pi\) |
−0.575701 | + | 0.817660i | \(0.695271\pi\) | |||||||
\(104\) | −0.900625 | + | 0.755714i | −0.0883136 | + | 0.0741039i | ||||
\(105\) | −0.752685 | − | 1.90914i | −0.0734546 | − | 0.186313i | ||||
\(106\) | −4.61800 | − | 0.404022i | −0.448539 | − | 0.0392421i | ||||
\(107\) | −7.91100 | + | 3.68896i | −0.764785 | + | 0.356625i | −0.765551 | − | 0.643375i | \(-0.777534\pi\) |
0.000766612 | 1.00000i | \(0.499756\pi\) | ||||||||
\(108\) | 4.36166 | − | 6.22910i | 0.419701 | − | 0.599395i | ||||
\(109\) | −15.5737 | + | 10.9048i | −1.49169 | + | 1.04449i | −0.508677 | + | 0.860957i | \(0.669865\pi\) |
−0.983013 | + | 0.183535i | \(0.941246\pi\) | |||||||
\(110\) | −0.318323 | − | 0.807409i | −0.0303509 | − | 0.0769834i | ||||
\(111\) | 2.54223 | − | 17.6497i | 0.241298 | − | 1.67524i | ||||
\(112\) | −0.221368 | + | 0.221368i | −0.0209173 | + | 0.0209173i | ||||
\(113\) | 3.85114 | + | 0.679059i | 0.362285 | + | 0.0638805i | 0.351828 | − | 0.936065i | \(-0.385560\pi\) |
0.0104569 | + | 0.999945i | \(0.496671\pi\) | |||||||
\(114\) | −3.10984 | − | 17.6368i | −0.291263 | − | 1.65183i | ||||
\(115\) | −0.0299701 | 0.000793682i | −0.00279473 | 7.40113e-5i | ||||||
\(116\) | 0.494706 | − | 5.65452i | 0.0459323 | − | 0.525009i | ||||
\(117\) | 6.57673i | 0.608019i | ||||||||
\(118\) | −9.54366 | − | 0.834962i | −0.878565 | − | 0.0768645i | ||||
\(119\) | −0.757447 | + | 0.202957i | −0.0694350 | + | 0.0186051i | ||||
\(120\) | 0.398243 | − | 6.54303i | 0.0363544 | − | 0.597294i | ||||
\(121\) | −5.42468 | − | 9.39581i | −0.493152 | − | 0.854165i | ||||
\(122\) | −5.46556 | + | 1.46449i | −0.494829 | + | 0.132589i | ||||
\(123\) | 22.2040 | − | 15.5474i | 2.00206 | − | 1.40186i | ||||
\(124\) | 0.976008 | + | 2.09306i | 0.0876481 | + | 0.187962i | ||||
\(125\) | 11.1451 | − | 0.887108i | 0.996847 | − | 0.0793453i | ||||
\(126\) | 0.152632 | + | 1.74459i | 0.0135975 | + | 0.155420i | ||||
\(127\) | −3.67812 | + | 0.321794i | −0.326380 | + | 0.0285546i | −0.249168 | − | 0.968460i | \(-0.580157\pi\) |
−0.0772117 | + | 0.997015i | \(0.524602\pi\) | |||||||
\(128\) | −0.939693 | + | 0.342020i | −0.0830579 | + | 0.0302306i | ||||
\(129\) | −23.6560 | − | 16.5641i | −2.08280 | − | 1.45839i | ||||
\(130\) | 1.37426 | + | 2.24110i | 0.120531 | + | 0.196558i | ||||
\(131\) | 5.81671 | + | 2.71238i | 0.508209 | + | 0.236982i | 0.659772 | − | 0.751466i | \(-0.270653\pi\) |
−0.151563 | + | 0.988448i | \(0.548431\pi\) | |||||||
\(132\) | 0.0991686 | + | 1.13350i | 0.00863152 | + | 0.0986587i | ||||
\(133\) | 1.46506 | + | 1.22933i | 0.127036 | + | 0.106596i | ||||
\(134\) | 3.41532 | − | 12.7462i | 0.295039 | − | 1.10110i | ||||
\(135\) | −12.3376 | − | 11.7010i | −1.06185 | − | 1.00706i | ||||
\(136\) | −2.46678 | − | 0.434959i | −0.211524 | − | 0.0372975i | ||||
\(137\) | 5.42345 | + | 20.2406i | 0.463357 | + | 1.72927i | 0.662281 | + | 0.749256i | \(0.269589\pi\) |
−0.198924 | + | 0.980015i | \(0.563745\pi\) | |||||||
\(138\) | 0.0379661 | + | 0.0101730i | 0.00323189 | + | 0.000865983i | ||||
\(139\) | 4.90332 | − | 1.78466i | 0.415894 | − | 0.151373i | −0.125594 | − | 0.992082i | \(-0.540084\pi\) |
0.541487 | + | 0.840709i | \(0.317861\pi\) | |||||||
\(140\) | 0.416559 | + | 0.562598i | 0.0352056 | + | 0.0475482i | ||||
\(141\) | 7.80113 | + | 9.29702i | 0.656973 | + | 0.782950i | ||||
\(142\) | −0.0292385 | −0.00245364 | ||||||||
\(143\) | −0.293318 | − | 0.349563i | −0.0245285 | − | 0.0292319i | ||||
\(144\) | −1.91325 | + | 5.25661i | −0.159437 | + | 0.438050i | ||||
\(145\) | −12.3424 | − | 2.95928i | −1.02498 | − | 0.245754i | ||||
\(146\) | 1.48832 | + | 2.12554i | 0.123174 | + | 0.175911i | ||||
\(147\) | 14.3073 | + | 14.3073i | 1.18004 | + | 1.18004i | ||||
\(148\) | 0.720603 | + | 6.03993i | 0.0592332 | + | 0.496479i | ||||
\(149\) | 20.1592i | 1.65151i | 0.564030 | + | 0.825754i | \(0.309250\pi\) | ||||
−0.564030 | + | 0.825754i | \(0.690750\pi\) | |||||||
\(150\) | −14.3392 | − | 3.03902i | −1.17079 | − | 0.248135i | ||||
\(151\) | 6.88308 | − | 1.21367i | 0.560137 | − | 0.0987673i | 0.113591 | − | 0.993528i | \(-0.463765\pi\) |
0.446547 | + | 0.894760i | \(0.352654\pi\) | |||||||
\(152\) | 2.58178 | + | 5.53664i | 0.209410 | + | 0.449081i | ||||
\(153\) | −10.7338 | + | 9.00670i | −0.867773 | + | 0.728148i | ||||
\(154\) | −0.0859203 | − | 0.0859203i | −0.00692366 | − | 0.00692366i | ||||
\(155\) | 4.95095 | − | 1.46814i | 0.397670 | − | 0.117923i | ||||
\(156\) | −0.892038 | − | 3.32913i | −0.0714202 | − | 0.266544i | ||||
\(157\) | 2.35549 | − | 5.05137i | 0.187989 | − | 0.403143i | −0.789613 | − | 0.613605i | \(-0.789719\pi\) |
0.977602 | + | 0.210462i | \(0.0674967\pi\) | |||||||
\(158\) | −2.99953 | + | 11.1944i | −0.238630 | + | 0.890578i | ||||
\(159\) | 6.79479 | − | 11.7689i | 0.538862 | − | 0.933336i | ||||
\(160\) | 0.446450 | + | 2.19105i | 0.0352949 | + | 0.173217i | ||||
\(161\) | −0.00380418 | + | 0.00177392i | −0.000299811 | + | 0.000139804i | ||||
\(162\) | 2.75527 | + | 4.77226i | 0.216474 | + | 0.374944i | ||||
\(163\) | 4.19715 | − | 5.00197i | 0.328746 | − | 0.391785i | −0.576201 | − | 0.817308i | \(-0.695465\pi\) |
0.904947 | + | 0.425523i | \(0.139910\pi\) | |||||||
\(164\) | −5.94342 | + | 7.08309i | −0.464103 | + | 0.553097i | ||||
\(165\) | 2.53957 | + | 0.154571i | 0.197705 | + | 0.0120334i | ||||
\(166\) | 9.42272 | − | 13.4570i | 0.731345 | − | 1.04447i | ||||
\(167\) | −6.62705 | + | 1.16853i | −0.512816 | + | 0.0904233i | −0.424067 | − | 0.905631i | \(-0.639398\pi\) |
−0.0887489 | + | 0.996054i | \(0.528287\pi\) | |||||||
\(168\) | −0.313890 | − | 0.862407i | −0.0242172 | − | 0.0665361i | ||||
\(169\) | −8.89973 | − | 7.46776i | −0.684594 | − | 0.574443i | ||||
\(170\) | −1.77564 | + | 5.31206i | −0.136185 | + | 0.407417i | ||||
\(171\) | 33.0091 | + | 8.84477i | 2.52427 | + | 0.676376i | ||||
\(172\) | 9.25691 | + | 3.36924i | 0.705833 | + | 0.256902i | ||||
\(173\) | 6.90376 | + | 9.85959i | 0.524883 | + | 0.749611i | 0.990817 | − | 0.135209i | \(-0.0431705\pi\) |
−0.465934 | + | 0.884819i | \(0.654282\pi\) | |||||||
\(174\) | 14.4105 | + | 8.31990i | 1.09246 | + | 0.630730i | ||||
\(175\) | 1.38165 | − | 0.735686i | 0.104443 | − | 0.0556127i | ||||
\(176\) | −0.132750 | − | 0.364726i | −0.0100064 | − | 0.0274923i | ||||
\(177\) | 14.0423 | − | 24.3219i | 1.05548 | − | 1.82815i | ||||
\(178\) | −1.18152 | + | 13.5048i | −0.0885585 | + | 1.01223i | ||||
\(179\) | −4.02933 | + | 4.02933i | −0.301166 | + | 0.301166i | −0.841470 | − | 0.540304i | \(-0.818309\pi\) |
0.540304 | + | 0.841470i | \(0.318309\pi\) | |||||||
\(180\) | 10.9944 | + | 5.96527i | 0.819477 | + | 0.444625i | ||||
\(181\) | −2.12208 | − | 0.772374i | −0.157733 | − | 0.0574101i | 0.261947 | − | 0.965082i | \(-0.415635\pi\) |
−0.419680 | + | 0.907672i | \(0.637858\pi\) | |||||||
\(182\) | 0.301498 | + | 0.211111i | 0.0223485 | + | 0.0156486i | ||||
\(183\) | 2.88044 | − | 16.3358i | 0.212928 | − | 1.20757i | ||||
\(184\) | −0.0134077 | −0.000988432 | ||||||||
\(185\) | 13.5956 | + | 0.398621i | 0.999570 | + | 0.0293072i | ||||
\(186\) | −6.77021 | −0.496416 | ||||||||
\(187\) | 0.168822 | − | 0.957439i | 0.0123455 | − | 0.0700149i | ||||
\(188\) | −3.39123 | − | 2.37457i | −0.247331 | − | 0.173183i | ||||
\(189\) | −2.23705 | − | 0.814220i | −0.162722 | − | 0.0592258i | ||||
\(190\) | 13.0965 | − | 3.88357i | 0.950118 | − | 0.281744i | ||||
\(191\) | 14.0913 | − | 14.0913i | 1.01961 | − | 1.01961i | 0.0198100 | − | 0.999804i | \(-0.493694\pi\) |
0.999804 | − | 0.0198100i | \(-0.00630615\pi\) | |||||||
\(192\) | 0.255501 | − | 2.92039i | 0.0184392 | − | 0.210761i | ||||
\(193\) | −1.73772 | + | 3.00982i | −0.125084 | + | 0.216652i | −0.921766 | − | 0.387747i | \(-0.873253\pi\) |
0.796682 | + | 0.604399i | \(0.206587\pi\) | |||||||
\(194\) | −2.87247 | − | 7.89205i | −0.206231 | − | 0.566616i | ||||
\(195\) | −7.65696 | + | 0.874699i | −0.548326 | + | 0.0626385i | ||||
\(196\) | −5.97730 | − | 3.45100i | −0.426950 | − | 0.246500i | ||||
\(197\) | 9.25092 | + | 13.2117i | 0.659101 | + | 0.941293i | 0.999999 | + | 0.00119328i | \(0.000379834\pi\) |
−0.340899 | + | 0.940100i | \(0.610731\pi\) | |||||||
\(198\) | −2.04027 | − | 0.742596i | −0.144995 | − | 0.0527740i | ||||
\(199\) | 7.33397 | + | 1.96513i | 0.519892 | + | 0.139305i | 0.509216 | − | 0.860638i | \(-0.329935\pi\) |
0.0106751 | + | 0.999943i | \(0.496602\pi\) | |||||||
\(200\) | 4.99299 | − | 0.264639i | 0.353058 | − | 0.0187128i | ||||
\(201\) | 29.6337 | + | 24.8657i | 2.09020 | + | 1.75389i | ||||
\(202\) | 6.71657 | + | 18.4536i | 0.472576 | + | 1.29839i | ||||
\(203\) | −1.74998 | + | 0.308568i | −0.122824 | + | 0.0216573i | ||||
\(204\) | 4.21179 | − | 6.01506i | 0.294884 | − | 0.421138i | ||||
\(205\) | 13.7045 | + | 15.4809i | 0.957166 | + | 1.08123i | ||||
\(206\) | −1.17087 | + | 1.39539i | −0.0815782 | + | 0.0972212i | ||||
\(207\) | −0.0482106 | + | 0.0574552i | −0.00335087 | + | 0.00399341i | ||||
\(208\) | 0.587841 | + | 1.01817i | 0.0407595 | + | 0.0705975i | ||||
\(209\) | −2.14896 | + | 1.00207i | −0.148646 | + | 0.0693150i | ||||
\(210\) | −2.01084 | + | 0.409731i | −0.138761 | + | 0.0282741i | ||||
\(211\) | 10.5615 | − | 18.2931i | 0.727084 | − | 1.25935i | −0.231026 | − | 0.972948i | \(-0.574208\pi\) |
0.958110 | − | 0.286399i | \(-0.0924584\pi\) | |||||||
\(212\) | −1.19979 | + | 4.47768i | −0.0824020 | + | 0.307528i | ||||
\(213\) | 0.0362243 | − | 0.0776833i | 0.00248205 | − | 0.00532278i | ||||
\(214\) | 2.25918 | + | 8.43139i | 0.154435 | + | 0.576358i | ||||
\(215\) | 10.5049 | − | 19.3613i | 0.716427 | − | 1.32043i | ||||
\(216\) | −5.37707 | − | 5.37707i | −0.365863 | − | 0.365863i | ||||
\(217\) | 0.553846 | − | 0.464732i | 0.0375975 | − | 0.0315480i | ||||
\(218\) | 8.03481 | + | 17.2307i | 0.544186 | + | 1.16701i | ||||
\(219\) | −7.49122 | + | 1.32090i | −0.506210 | + | 0.0892585i | ||||
\(220\) | −0.850419 | + | 0.173282i | −0.0573352 | + | 0.0116827i | ||||
\(221\) | 2.94489i | 0.198095i | ||||||||
\(222\) | −16.9402 | − | 5.56846i | −1.13695 | − | 0.373731i | ||||
\(223\) | −2.62290 | − | 2.62290i | −0.175643 | − | 0.175643i | 0.613811 | − | 0.789453i | \(-0.289636\pi\) |
−0.789453 | + | 0.613811i | \(0.789636\pi\) | |||||||
\(224\) | 0.179565 | + | 0.256445i | 0.0119977 | + | 0.0171345i | ||||
\(225\) | 16.8194 | − | 22.3477i | 1.12129 | − | 1.48984i | ||||
\(226\) | 1.33749 | − | 3.67471i | 0.0889682 | − | 0.244438i | ||||
\(227\) | 2.76287 | + | 3.29266i | 0.183378 | + | 0.218541i | 0.849900 | − | 0.526944i | \(-0.176662\pi\) |
−0.666522 | + | 0.745485i | \(0.732218\pi\) | |||||||
\(228\) | −17.9088 | −1.18604 | ||||||||
\(229\) | −6.48887 | − | 7.73314i | −0.428797 | − | 0.511020i | 0.507778 | − | 0.861488i | \(-0.330467\pi\) |
−0.936575 | + | 0.350468i | \(0.886023\pi\) | |||||||
\(230\) | −0.00442263 | + | 0.0296526i | −0.000291620 | + | 0.00195524i | ||||
\(231\) | 0.334729 | − | 0.121831i | 0.0220236 | − | 0.00801592i | ||||
\(232\) | −5.48271 | − | 1.46909i | −0.359958 | − | 0.0964503i | ||||
\(233\) | −5.39873 | − | 20.1483i | −0.353682 | − | 1.31996i | −0.882135 | − | 0.470997i | \(-0.843894\pi\) |
0.528452 | − | 0.848963i | \(-0.322773\pi\) | |||||||
\(234\) | 6.47681 | + | 1.14204i | 0.423402 | + | 0.0746573i | ||||
\(235\) | −6.37022 | + | 6.71680i | −0.415547 | + | 0.438156i | ||||
\(236\) | −2.47952 | + | 9.25368i | −0.161403 | + | 0.602363i | ||||
\(237\) | −26.0260 | − | 21.8384i | −1.69057 | − | 1.41856i | ||||
\(238\) | 0.0683446 | + | 0.781183i | 0.00443012 | + | 0.0506365i | ||||
\(239\) | 4.32466 | + | 2.01662i | 0.279739 | + | 0.130444i | 0.557425 | − | 0.830228i | \(-0.311790\pi\) |
−0.277686 | + | 0.960672i | \(0.589567\pi\) | |||||||
\(240\) | −6.37447 | − | 1.52838i | −0.411470 | − | 0.0986563i | ||||
\(241\) | −10.4356 | − | 7.30711i | −0.672219 | − | 0.470692i | 0.186961 | − | 0.982367i | \(-0.440136\pi\) |
−0.859179 | + | 0.511675i | \(0.829025\pi\) | |||||||
\(242\) | −10.1951 | + | 3.71070i | −0.655363 | + | 0.238533i | ||||
\(243\) | 6.63325 | − | 0.580334i | 0.425523 | − | 0.0372285i | ||||
\(244\) | 0.493159 | + | 5.63684i | 0.0315713 | + | 0.360861i | ||||
\(245\) | −9.60389 | + | 12.0811i | −0.613570 | + | 0.771833i | ||||
\(246\) | −11.4555 | − | 24.5664i | −0.730376 | − | 1.56630i | ||||
\(247\) | 5.88336 | − | 4.11957i | 0.374349 | − | 0.262122i | ||||
\(248\) | 2.23074 | − | 0.597725i | 0.141652 | − | 0.0379556i | ||||
\(249\) | 24.0797 | + | 41.7073i | 1.52599 | + | 2.64309i | ||||
\(250\) | 1.06169 | − | 11.1298i | 0.0671474 | − | 0.703911i | ||||
\(251\) | −20.6988 | + | 5.54623i | −1.30650 | + | 0.350075i | −0.843903 | − | 0.536495i | \(-0.819748\pi\) |
−0.462594 | + | 0.886570i | \(0.653081\pi\) | |||||||
\(252\) | 1.74459 | + | 0.152632i | 0.109899 | + | 0.00961491i | ||||
\(253\) | − | 0.00520400i | − | 0.000327172i | ||||||
\(254\) | −0.321794 | + | 3.67812i | −0.0201911 | + | 0.230786i | ||||
\(255\) | −11.9136 | − | 11.2989i | −0.746061 | − | 0.707566i | ||||
\(256\) | 0.173648 | + | 0.984808i | 0.0108530 | + | 0.0615505i | ||||
\(257\) | −5.36755 | − | 0.946444i | −0.334819 | − | 0.0590375i | 0.00371156 | − | 0.999993i | \(-0.498819\pi\) |
−0.338530 | + | 0.940956i | \(0.609930\pi\) | |||||||
\(258\) | −20.4203 | + | 20.4203i | −1.27131 | + | 1.27131i | ||||
\(259\) | 1.76805 | − | 0.707299i | 0.109861 | − | 0.0439494i | ||||
\(260\) | 2.44570 | − | 0.964222i | 0.151676 | − | 0.0597985i | ||||
\(261\) | −26.0097 | + | 18.2122i | −1.60996 | + | 1.12731i | ||||
\(262\) | 3.68123 | − | 5.25735i | 0.227427 | − | 0.324800i | ||||
\(263\) | 10.6815 | − | 4.98087i | 0.658649 | − | 0.307133i | −0.0644055 | − | 0.997924i | \(-0.520515\pi\) |
0.723055 | + | 0.690791i | \(0.242737\pi\) | |||||||
\(264\) | 1.13350 | + | 0.0991686i | 0.0697622 | + | 0.00610340i | ||||
\(265\) | 9.50710 | + | 4.13045i | 0.584016 | + | 0.253732i | ||||
\(266\) | 1.46506 | − | 1.22933i | 0.0898284 | − | 0.0753749i | ||||
\(267\) | −34.4169 | − | 19.8706i | −2.10628 | − | 1.21606i | ||||
\(268\) | −11.9595 | − | 5.57679i | −0.730540 | − | 0.340656i | ||||
\(269\) | −27.8195 | + | 16.0616i | −1.69618 | + | 0.979292i | −0.746865 | + | 0.664976i | \(0.768442\pi\) |
−0.949318 | + | 0.314316i | \(0.898225\pi\) | |||||||
\(270\) | −13.6656 | + | 10.1183i | −0.831662 | + | 0.615779i | ||||
\(271\) | −2.74395 | + | 15.5617i | −0.166683 | + | 0.945306i | 0.780629 | + | 0.624994i | \(0.214899\pi\) |
−0.947312 | + | 0.320312i | \(0.896212\pi\) | |||||||
\(272\) | −0.856703 | + | 2.35377i | −0.0519452 | + | 0.142718i | ||||
\(273\) | −0.934431 | + | 0.539494i | −0.0565543 | + | 0.0326517i | ||||
\(274\) | 20.8749 | − | 1.82631i | 1.26110 | − | 0.110332i | ||||
\(275\) | 0.102715 | + | 1.93795i | 0.00619396 | + | 0.116863i | ||||
\(276\) | 0.0166112 | − | 0.0356228i | 0.000999876 | − | 0.00214424i | ||||
\(277\) | −2.59339 | − | 14.7078i | −0.155822 | − | 0.883709i | −0.958031 | − | 0.286665i | \(-0.907453\pi\) |
0.802209 | − | 0.597043i | \(-0.203658\pi\) | |||||||
\(278\) | −0.906096 | − | 5.13873i | −0.0543440 | − | 0.308200i | ||||
\(279\) | 5.45975 | − | 11.7085i | 0.326867 | − | 0.700968i | ||||
\(280\) | 0.626386 | − | 0.312536i | 0.0374337 | − | 0.0186776i | ||||
\(281\) | −14.2475 | + | 1.24649i | −0.849934 | + | 0.0743596i | −0.503795 | − | 0.863823i | \(-0.668063\pi\) |
−0.346140 | + | 0.938183i | \(0.612508\pi\) | |||||||
\(282\) | 10.5104 | − | 6.06820i | 0.625887 | − | 0.361356i | ||||
\(283\) | −8.12456 | + | 22.3220i | −0.482955 | + | 1.32691i | 0.423993 | + | 0.905665i | \(0.360628\pi\) |
−0.906948 | + | 0.421242i | \(0.861594\pi\) | |||||||
\(284\) | −0.00507722 | + | 0.0287943i | −0.000301277 | + | 0.00170863i | ||||
\(285\) | −5.90735 | + | 39.6073i | −0.349921 | + | 2.34613i | ||||
\(286\) | −0.395187 | + | 0.228161i | −0.0233679 | + | 0.0134914i | ||||
\(287\) | 2.62346 | + | 1.22334i | 0.154858 | + | 0.0722114i | ||||
\(288\) | 4.84451 | + | 2.79698i | 0.285466 | + | 0.164814i | ||||
\(289\) | 8.21645 | − | 6.89442i | 0.483321 | − | 0.405554i | ||||
\(290\) | −5.05755 | + | 11.6410i | −0.296990 | + | 0.683583i | ||||
\(291\) | 24.5270 | + | 2.14584i | 1.43780 | + | 0.125791i | ||||
\(292\) | 2.35169 | − | 1.09661i | 0.137622 | − | 0.0641743i | ||||
\(293\) | 0.601744 | − | 0.859379i | 0.0351543 | − | 0.0502055i | −0.801190 | − | 0.598410i | \(-0.795799\pi\) |
0.836344 | + | 0.548204i | \(0.184688\pi\) | |||||||
\(294\) | 16.5743 | − | 11.6055i | 0.966634 | − | 0.676844i | ||||
\(295\) | 19.6476 | + | 8.53609i | 1.14393 | + | 0.496991i | ||||
\(296\) | 6.07330 | + | 0.339167i | 0.353003 | + | 0.0197137i | ||||
\(297\) | 2.08702 | − | 2.08702i | 0.121101 | − | 0.121101i | ||||
\(298\) | 19.8530 | + | 3.50061i | 1.15005 | + | 0.202785i | ||||
\(299\) | 0.00273726 | + | 0.0155238i | 0.000158300 | + | 0.000897763i | ||||
\(300\) | −5.48283 | + | 13.5937i | −0.316551 | + | 0.784831i | ||||
\(301\) | 0.268786 | − | 3.07223i | 0.0154926 | − | 0.177081i | ||||
\(302\) | − | 6.98927i | − | 0.402187i | ||||||
\(303\) | −57.3505 | − | 5.01752i | −3.29470 | − | 0.288249i | ||||
\(304\) | 5.90085 | − | 1.58113i | 0.338437 | − | 0.0906839i | ||||
\(305\) | 12.6291 | + | 0.768674i | 0.723142 | + | 0.0440141i | ||||
\(306\) | 7.00597 | + | 12.1347i | 0.400505 | + | 0.693694i | ||||
\(307\) | 12.6578 | − | 3.39165i | 0.722418 | − | 0.193571i | 0.121168 | − | 0.992632i | \(-0.461336\pi\) |
0.601250 | + | 0.799061i | \(0.294669\pi\) | |||||||
\(308\) | −0.0995349 | + | 0.0696951i | −0.00567153 | + | 0.00397125i | ||||
\(309\) | −2.25676 | − | 4.83964i | −0.128383 | − | 0.275317i | ||||
\(310\) | −0.586107 | − | 5.13068i | −0.0332886 | − | 0.291403i | ||||
\(311\) | −1.16219 | − | 13.2839i | −0.0659019 | − | 0.753262i | −0.955205 | − | 0.295944i | \(-0.904366\pi\) |
0.889303 | − | 0.457318i | \(-0.151190\pi\) | |||||||
\(312\) | −3.43345 | + | 0.300388i | −0.194381 | + | 0.0170061i | ||||
\(313\) | −32.7610 | + | 11.9240i | −1.85176 | + | 0.673987i | −0.867460 | + | 0.497508i | \(0.834249\pi\) |
−0.984304 | + | 0.176479i | \(0.943529\pi\) | |||||||
\(314\) | −4.56560 | − | 3.19687i | −0.257652 | − | 0.180410i | ||||
\(315\) | 0.913026 | − | 3.80800i | 0.0514432 | − | 0.214556i | ||||
\(316\) | 10.5035 | + | 4.89785i | 0.590866 | + | 0.275525i | ||||
\(317\) | −1.77993 | − | 20.3447i | −0.0999708 | − | 1.14267i | −0.866061 | − | 0.499939i | \(-0.833356\pi\) |
0.766090 | − | 0.642733i | \(-0.222200\pi\) | |||||||
\(318\) | −10.4102 | − | 8.73521i | −0.583776 | − | 0.489846i | ||||
\(319\) | 0.570202 | − | 2.12802i | 0.0319252 | − | 0.119146i | ||||
\(320\) | 2.23528 | − | 0.0591958i | 0.124956 | − | 0.00330915i | ||||
\(321\) | −25.2002 | − | 4.44347i | −1.40654 | − | 0.248010i | ||||
\(322\) | 0.00108638 | + | 0.00405442i | 6.05416e−5 | + | 0.000225944i | ||||
\(323\) | 14.7806 | + | 3.96046i | 0.822416 | + | 0.220366i | ||||
\(324\) | 5.17821 | − | 1.88471i | 0.287678 | − | 0.104706i | ||||
\(325\) | −1.32575 | − | 5.72697i | −0.0735394 | − | 0.317675i | ||||
\(326\) | −4.19715 | − | 5.00197i | −0.232459 | − | 0.277034i | ||||
\(327\) | −55.7345 | −3.08213 | ||||||||
\(328\) | 5.94342 | + | 7.08309i | 0.328171 | + | 0.391098i | ||||
\(329\) | −0.443276 | + | 1.21789i | −0.0244386 | + | 0.0671445i | ||||
\(330\) | 0.593215 | − | 2.47415i | 0.0326554 | − | 0.136197i | ||||
\(331\) | 13.7145 | + | 19.5863i | 0.753815 | + | 1.07656i | 0.994374 | + | 0.105925i | \(0.0337803\pi\) |
−0.240559 | + | 0.970634i | \(0.577331\pi\) | |||||||
\(332\) | −11.6164 | − | 11.6164i | −0.637530 | − | 0.637530i | ||||
\(333\) | 23.2914 | − | 24.8059i | 1.27636 | − | 1.35935i | ||||
\(334\) | 6.72928i | 0.368210i | ||||||||
\(335\) | −16.2786 | + | 24.6101i | −0.889392 | + | 1.34459i | ||||
\(336\) | −0.903812 | + | 0.159366i | −0.0493070 | + | 0.00869415i | ||||
\(337\) | −8.19542 | − | 17.5751i | −0.446433 | − | 0.957379i | −0.992795 | − | 0.119829i | \(-0.961765\pi\) |
0.546361 | − | 0.837549i | \(-0.316012\pi\) | |||||||
\(338\) | −8.89973 | + | 7.46776i | −0.484081 | + | 0.406193i | ||||
\(339\) | 8.10624 | + | 8.10624i | 0.440270 | + | 0.440270i | ||||
\(340\) | 4.92302 | + | 2.67110i | 0.266988 | + | 0.144860i | ||||
\(341\) | 0.231997 | + | 0.865825i | 0.0125634 | + | 0.0468871i | ||||
\(342\) | 14.4424 | − | 30.9718i | 0.780954 | − | 1.67476i | ||||
\(343\) | −1.12643 | + | 4.20388i | −0.0608213 | + | 0.226988i | ||||
\(344\) | 4.92550 | − | 8.53122i | 0.265565 | − | 0.459972i | ||||
\(345\) | −0.0733043 | − | 0.0484878i | −0.00394657 | − | 0.00261050i | ||||
\(346\) | 10.9086 | − | 5.08677i | 0.586451 | − | 0.273467i | ||||
\(347\) | 14.5642 | + | 25.2259i | 0.781846 | + | 1.35420i | 0.930865 | + | 0.365363i | \(0.119055\pi\) |
−0.149019 | + | 0.988834i | \(0.547612\pi\) | |||||||
\(348\) | 10.6959 | − | 12.7468i | 0.573358 | − | 0.683302i | ||||
\(349\) | 3.60664 | − | 4.29823i | 0.193059 | − | 0.230079i | −0.660828 | − | 0.750538i | \(-0.729795\pi\) |
0.853887 | + | 0.520459i | \(0.174239\pi\) | |||||||
\(350\) | −0.484589 | − | 1.48841i | −0.0259024 | − | 0.0795588i | ||||
\(351\) | −5.12793 | + | 7.32344i | −0.273709 | + | 0.390896i | ||||
\(352\) | −0.382237 | + | 0.0673987i | −0.0203733 | + | 0.00359236i | ||||
\(353\) | −0.524853 | − | 1.44202i | −0.0279351 | − | 0.0767510i | 0.924941 | − | 0.380110i | \(-0.124114\pi\) |
−0.952876 | + | 0.303359i | \(0.901892\pi\) | |||||||
\(354\) | −21.5140 | − | 18.0524i | −1.14346 | − | 0.959474i | ||||
\(355\) | 0.0620069 | + | 0.0207268i | 0.00329099 | + | 0.00110006i | ||||
\(356\) | 13.0945 | + | 3.50865i | 0.694006 | + | 0.185958i | ||||
\(357\) | −2.16018 | − | 0.786243i | −0.114329 | − | 0.0416124i | ||||
\(358\) | 3.26843 | + | 4.66780i | 0.172742 | + | 0.246701i | ||||
\(359\) | −18.7642 | − | 10.8335i | −0.990338 | − | 0.571772i | −0.0849628 | − | 0.996384i | \(-0.527077\pi\) |
−0.905375 | + | 0.424612i | \(0.860410\pi\) | |||||||
\(360\) | 7.78381 | − | 9.79155i | 0.410243 | − | 0.516060i | ||||
\(361\) | −6.26580 | − | 17.2151i | −0.329779 | − | 0.906060i | ||||
\(362\) | −1.12914 | + | 1.95572i | −0.0593460 | + | 0.102790i | ||||
\(363\) | 2.77202 | − | 31.6843i | 0.145493 | − | 1.66300i | ||||
\(364\) | 0.260259 | − | 0.260259i | 0.0136413 | − | 0.0136413i | ||||
\(365\) | −1.64955 | − | 5.56273i | −0.0863414 | − | 0.291167i | ||||
\(366\) | −15.5874 | − | 5.67335i | −0.814767 | − | 0.296551i | ||||
\(367\) | 28.8773 | + | 20.2201i | 1.50738 | + | 1.05548i | 0.978369 | + | 0.206869i | \(0.0663273\pi\) |
0.529015 | + | 0.848613i | \(0.322562\pi\) | |||||||
\(368\) | −0.00232823 | + | 0.0132041i | −0.000121367 | + | 0.000688309i | ||||
\(369\) | 51.7236 | 2.69262 | ||||||||
\(370\) | 2.75342 | − | 13.3199i | 0.143144 | − | 0.692467i | ||||
\(371\) | 1.45124 | 0.0753446 | ||||||||
\(372\) | −1.17563 | + | 6.66735i | −0.0609538 | + | 0.345686i | ||||
\(373\) | 0.564989 | + | 0.395610i | 0.0292540 | + | 0.0204839i | 0.588112 | − | 0.808779i | \(-0.299871\pi\) |
−0.558858 | + | 0.829263i | \(0.688760\pi\) | |||||||
\(374\) | −0.913578 | − | 0.332515i | −0.0472400 | − | 0.0171940i | ||||
\(375\) | 28.2553 | + | 16.6098i | 1.45910 | + | 0.857727i | ||||
\(376\) | −2.92737 | + | 2.92737i | −0.150968 | + | 0.150968i | ||||
\(377\) | −0.581618 | + | 6.64792i | −0.0299548 | + | 0.342385i | ||||
\(378\) | −1.19031 | + | 2.06168i | −0.0612230 | + | 0.106041i | ||||
\(379\) | 4.33956 | + | 11.9229i | 0.222908 | + | 0.612436i | 0.999853 | − | 0.0171329i | \(-0.00545383\pi\) |
−0.776945 | + | 0.629569i | \(0.783232\pi\) | |||||||
\(380\) | −1.55040 | − | 13.5719i | −0.0795336 | − | 0.696223i | ||||
\(381\) | −9.37365 | − | 5.41188i | −0.480227 | − | 0.277259i | ||||
\(382\) | −11.4303 | − | 16.3242i | −0.584826 | − | 0.835219i | ||||
\(383\) | −13.3364 | − | 4.85405i | −0.681458 | − | 0.248030i | −0.0219844 | − | 0.999758i | \(-0.506998\pi\) |
−0.659473 | + | 0.751728i | \(0.729221\pi\) | |||||||
\(384\) | −2.83166 | − | 0.758740i | −0.144502 | − | 0.0387193i | ||||
\(385\) | 0.121306 | + | 0.243121i | 0.00618231 | + | 0.0123906i | ||||
\(386\) | 2.66235 | + | 2.23397i | 0.135510 | + | 0.113706i | ||||
\(387\) | −18.8474 | − | 51.7828i | −0.958068 | − | 2.63227i | ||||
\(388\) | −8.27095 | + | 1.45839i | −0.419894 | + | 0.0740386i | ||||
\(389\) | 10.7789 | − | 15.3939i | 0.546511 | − | 0.780499i | −0.446963 | − | 0.894552i | \(-0.647495\pi\) |
0.993475 | + | 0.114053i | \(0.0363834\pi\) | |||||||
\(390\) | −0.468207 | + | 7.69253i | −0.0237086 | + | 0.389526i | ||||
\(391\) | −0.0215875 | + | 0.0257269i | −0.00109173 | + | 0.00130107i | ||||
\(392\) | −4.43652 | + | 5.28723i | −0.224078 | + | 0.267046i | ||||
\(393\) | 9.40738 | + | 16.2941i | 0.474540 | + | 0.821927i | ||||
\(394\) | 14.6174 | − | 6.81619i | 0.736413 | − | 0.343395i | ||||
\(395\) | 14.2967 | − | 21.6139i | 0.719347 | − | 1.08751i | ||||
\(396\) | −1.08560 | + | 1.88032i | −0.0545536 | + | 0.0944896i | ||||
\(397\) | −6.29374 | + | 23.4886i | −0.315874 | + | 1.17886i | 0.607299 | + | 0.794473i | \(0.292253\pi\) |
−0.923173 | + | 0.384384i | \(0.874414\pi\) | |||||||
\(398\) | 3.20881 | − | 6.88131i | 0.160843 | − | 0.344929i | ||||
\(399\) | 1.45109 | + | 5.41553i | 0.0726452 | + | 0.271116i | ||||
\(400\) | 0.606405 | − | 4.96309i | 0.0303203 | − | 0.248155i | ||||
\(401\) | −5.78637 | − | 5.78637i | −0.288957 | − | 0.288957i | 0.547711 | − | 0.836668i | \(-0.315500\pi\) |
−0.836668 | + | 0.547711i | \(0.815500\pi\) | |||||||
\(402\) | 29.6337 | − | 24.8657i | 1.47800 | − | 1.24019i | ||||
\(403\) | −1.14748 | − | 2.46077i | −0.0571599 | − | 0.122580i | ||||
\(404\) | 19.3396 | − | 3.41009i | 0.962181 | − | 0.169658i | ||||
\(405\) | −2.46017 | − | 12.0738i | −0.122247 | − | 0.599953i | ||||
\(406\) | 1.77697i | 0.0881898i | ||||||||
\(407\) | −0.131642 | + | 2.35725i | −0.00652526 | + | 0.116845i | ||||
\(408\) | −5.19231 | − | 5.19231i | −0.257057 | − | 0.257057i | ||||
\(409\) | 11.1168 | + | 15.8764i | 0.549690 | + | 0.785039i | 0.993829 | − | 0.110919i | \(-0.0353794\pi\) |
−0.444139 | + | 0.895958i | \(0.646490\pi\) | |||||||
\(410\) | 17.6255 | − | 10.8081i | 0.870460 | − | 0.533774i | ||||
\(411\) | −21.0101 | + | 57.7248i | −1.03635 | + | 2.84735i | ||||
\(412\) | 1.17087 | + | 1.39539i | 0.0576845 | + | 0.0687457i | ||||
\(413\) | 2.99916 | 0.147579 | ||||||||
\(414\) | 0.0482106 | + | 0.0574552i | 0.00236942 | + | 0.00282377i | ||||
\(415\) | −29.5225 | + | 21.8590i | −1.44920 | + | 1.07302i | ||||
\(416\) | 1.10478 | − | 0.402107i | 0.0541663 | − | 0.0197149i | ||||
\(417\) | 14.7756 | + | 3.95910i | 0.723563 | + | 0.193878i | ||||
\(418\) | 0.613689 | + | 2.29032i | 0.0300165 | + | 0.112023i | ||||
\(419\) | −10.4583 | − | 1.84409i | −0.510923 | − | 0.0900895i | −0.0877573 | − | 0.996142i | \(-0.527970\pi\) |
−0.423165 | + | 0.906052i | \(0.639081\pi\) | |||||||
\(420\) | 0.0543272 | + | 2.05144i | 0.00265090 | + | 0.100100i | ||||
\(421\) | 4.45633 | − | 16.6313i | 0.217188 | − | 0.810558i | −0.768196 | − | 0.640214i | \(-0.778845\pi\) |
0.985385 | − | 0.170344i | \(-0.0544878\pi\) | |||||||
\(422\) | −16.1812 | − | 13.5776i | −0.787687 | − | 0.660948i | ||||
\(423\) | 2.01841 | + | 23.0705i | 0.0981383 | + | 1.12173i | ||||
\(424\) | 4.20131 | + | 1.95910i | 0.204034 | + | 0.0951425i | ||||
\(425\) | 7.53130 | − | 10.0067i | 0.365322 | − | 0.485396i | ||||
\(426\) | −0.0702129 | − | 0.0491636i | −0.00340182 | − | 0.00238198i | ||||
\(427\) | 1.66459 | − | 0.605860i | 0.0805551 | − | 0.0293196i | ||||
\(428\) | 8.69560 | − | 0.760767i | 0.420318 | − | 0.0367730i | ||||
\(429\) | −0.116591 | − | 1.33264i | −0.00562906 | − | 0.0643404i | ||||
\(430\) | −17.2430 | − | 13.7073i | −0.831530 | − | 0.661027i | ||||
\(431\) | −11.6799 | − | 25.0476i | −0.562601 | − | 1.20650i | −0.957675 | − | 0.287853i | \(-0.907059\pi\) |
0.395074 | − | 0.918649i | \(-0.370719\pi\) | |||||||
\(432\) | −6.22910 | + | 4.36166i | −0.299697 | + | 0.209850i | ||||
\(433\) | −29.4483 | + | 7.89066i | −1.41520 | + | 0.379201i | −0.883777 | − | 0.467908i | \(-0.845008\pi\) |
−0.531420 | + | 0.847109i | \(0.678341\pi\) | |||||||
\(434\) | −0.361497 | − | 0.626131i | −0.0173524 | − | 0.0300553i | ||||
\(435\) | −24.6628 | − | 27.8596i | −1.18249 | − | 1.33577i | ||||
\(436\) | 18.3642 | − | 4.92066i | 0.879484 | − | 0.235657i | ||||
\(437\) | 0.0815963 | + | 0.00713875i | 0.00390328 | + | 0.000341493i | ||||
\(438\) | 7.60679i | 0.363466i | ||||||||
\(439\) | 2.92342 | − | 33.4148i | 0.139527 | − | 1.59480i | −0.527359 | − | 0.849643i | \(-0.676818\pi\) |
0.666886 | − | 0.745160i | \(-0.267627\pi\) | |||||||
\(440\) | 0.0229759 | + | 0.867589i | 0.00109533 | + | 0.0413607i | ||||
\(441\) | 6.70447 | + | 38.0229i | 0.319260 | + | 1.81062i | ||||
\(442\) | 2.90015 | + | 0.511374i | 0.137946 | + | 0.0243236i | ||||
\(443\) | −8.71645 | + | 8.71645i | −0.414131 | + | 0.414131i | −0.883175 | − | 0.469044i | \(-0.844599\pi\) |
0.469044 | + | 0.883175i | \(0.344599\pi\) | |||||||
\(444\) | −8.42549 | + | 15.7158i | −0.399856 | + | 0.745841i | ||||
\(445\) | 12.0790 | − | 27.8024i | 0.572602 | − | 1.31796i | ||||
\(446\) | −3.03852 | + | 2.12759i | −0.143878 | + | 0.100745i | ||||
\(447\) | −33.8971 | + | 48.4100i | −1.60328 | + | 2.28972i | ||||
\(448\) | 0.283730 | − | 0.132306i | 0.0134050 | − | 0.00625085i | ||||
\(449\) | 19.6067 | + | 1.71536i | 0.925297 | + | 0.0809530i | 0.539835 | − | 0.841771i | \(-0.318487\pi\) |
0.385462 | + | 0.922724i | \(0.374042\pi\) | |||||||
\(450\) | −19.0875 | − | 20.4445i | −0.899793 | − | 0.963764i | ||||
\(451\) | −2.74919 | + | 2.30684i | −0.129454 | + | 0.108625i | ||||
\(452\) | −3.38663 | − | 1.95527i | −0.159294 | − | 0.0919683i | ||||
\(453\) | 18.5697 | + | 8.65918i | 0.872479 | + | 0.406844i | ||||
\(454\) | 3.72240 | − | 2.14913i | 0.174701 | − | 0.100864i | ||||
\(455\) | −0.489741 | − | 0.661437i | −0.0229594 | − | 0.0310086i | ||||
\(456\) | −3.10984 | + | 17.6368i | −0.145631 | + | 0.825917i | ||||
\(457\) | −1.18190 | + | 3.24723i | −0.0552868 | + | 0.151899i | −0.964262 | − | 0.264952i | \(-0.914644\pi\) |
0.908975 | + | 0.416851i | \(0.136866\pi\) | |||||||
\(458\) | −8.74243 | + | 5.04745i | −0.408507 | + | 0.235852i | ||||
\(459\) | −18.9751 | + | 1.66010i | −0.885680 | + | 0.0774870i | ||||
\(460\) | 0.0284342 | + | 0.00950457i | 0.00132575 | + | 0.000443153i | ||||
\(461\) | −7.96715 | + | 17.0856i | −0.371067 | + | 0.795756i | 0.628768 | + | 0.777593i | \(0.283560\pi\) |
−0.999835 | + | 0.0181630i | \(0.994218\pi\) | |||||||
\(462\) | −0.0618555 | − | 0.350800i | −0.00287778 | − | 0.0163207i | ||||
\(463\) | 3.73116 | + | 21.1604i | 0.173402 | + | 0.983409i | 0.939973 | + | 0.341250i | \(0.110850\pi\) |
−0.766571 | + | 0.642159i | \(0.778039\pi\) | |||||||
\(464\) | −2.39883 | + | 5.14431i | −0.111363 | + | 0.238819i | ||||
\(465\) | 14.3578 | + | 4.79931i | 0.665825 | + | 0.222563i | ||||
\(466\) | −20.7797 | + | 1.81799i | −0.962601 | + | 0.0842167i | ||||
\(467\) | 14.0856 | − | 8.13232i | 0.651804 | − | 0.376319i | −0.137343 | − | 0.990524i | \(-0.543856\pi\) |
0.789147 | + | 0.614204i | \(0.210523\pi\) | |||||||
\(468\) | 2.24937 | − | 6.18010i | 0.103977 | − | 0.285675i | ||||
\(469\) | −0.717358 | + | 4.06834i | −0.0331245 | + | 0.187858i | ||||
\(470\) | 5.50858 | + | 7.43980i | 0.254092 | + | 0.343173i | ||||
\(471\) | 14.1501 | − | 8.16958i | 0.652004 | − | 0.376435i | ||||
\(472\) | 8.68253 | + | 4.04873i | 0.399646 | + | 0.186358i | ||||
\(473\) | 3.31125 | + | 1.91175i | 0.152252 | + | 0.0879025i | ||||
\(474\) | −26.0260 | + | 21.8384i | −1.19541 | + | 1.00307i | ||||
\(475\) | −30.5271 | − | 1.04791i | −1.40068 | − | 0.0480816i | ||||
\(476\) | 0.781183 | + | 0.0683446i | 0.0358054 | + | 0.00313257i | ||||
\(477\) | 23.5020 | − | 10.9592i | 1.07608 | − | 0.501785i | ||||
\(478\) | 2.73695 | − | 3.90878i | 0.125185 | − | 0.178783i | ||||
\(479\) | −17.5752 | + | 12.3063i | −0.803031 | + | 0.562288i | −0.901463 | − | 0.432856i | \(-0.857506\pi\) |
0.0984325 | + | 0.995144i | \(0.468617\pi\) | |||||||
\(480\) | −2.61207 | + | 6.01223i | −0.119224 | + | 0.274419i | ||||
\(481\) | −0.847201 | − | 7.10104i | −0.0386290 | − | 0.323780i | ||||
\(482\) | −9.00823 | + | 9.00823i | −0.410314 | + | 0.410314i | ||||
\(483\) | −0.0121181 | − | 0.00213674i | −0.000551392 | − | 9.72252e-5i | ||||
\(484\) | 1.88397 | + | 10.6845i | 0.0856350 | + | 0.485660i | ||||
\(485\) | 0.497159 | + | 18.7731i | 0.0225748 | + | 0.852444i | ||||
\(486\) | 0.580334 | − | 6.63325i | 0.0263245 | − | 0.300890i | ||||
\(487\) | − | 8.94574i | − | 0.405370i | −0.979244 | − | 0.202685i | \(-0.935033\pi\) | ||
0.979244 | − | 0.202685i | \(-0.0649667\pi\) | |||||||
\(488\) | 5.63684 | + | 0.493159i | 0.255168 | + | 0.0223243i | ||||
\(489\) | 18.4896 | − | 4.95428i | 0.836129 | − | 0.224040i | ||||
\(490\) | 10.2299 | + | 11.5558i | 0.462138 | + | 0.522040i | ||||
\(491\) | 0.779741 | + | 1.35055i | 0.0351892 | + | 0.0609495i | 0.883084 | − | 0.469216i | \(-0.155463\pi\) |
−0.847894 | + | 0.530165i | \(0.822130\pi\) | |||||||
\(492\) | −26.1824 | + | 7.01555i | −1.18039 | + | 0.316286i | ||||
\(493\) | −11.6465 | + | 8.15495i | −0.524531 | + | 0.367281i | ||||
\(494\) | −3.03535 | − | 6.50933i | −0.136567 | − | 0.292869i | ||||
\(495\) | 3.80043 | + | 3.02116i | 0.170817 | + | 0.135791i | ||||
\(496\) | −0.201280 | − | 2.30064i | −0.00903775 | − | 0.103302i | ||||
\(497\) | 0.00911863 | 0.000797777i | 0.000409026 | 3.57852e-5i | ||||||
\(498\) | 45.2551 | − | 16.4715i | 2.02793 | − | 0.738106i | ||||
\(499\) | 10.3500 | + | 7.24715i | 0.463330 | + | 0.324427i | 0.781826 | − | 0.623497i | \(-0.214289\pi\) |
−0.318496 | + | 0.947924i | \(0.603178\pi\) | |||||||
\(500\) | −10.7764 | − | 2.97824i | −0.481934 | − | 0.133191i | ||||
\(501\) | −17.8789 | − | 8.33707i | −0.798771 | − | 0.372473i | ||||
\(502\) | 1.86766 | + | 21.3474i | 0.0833577 | + | 0.952783i | ||||
\(503\) | −16.5761 | − | 13.9090i | −0.739094 | − | 0.620173i | 0.193500 | − | 0.981100i | \(-0.438016\pi\) |
−0.932594 | + | 0.360927i | \(0.882460\pi\) | |||||||
\(504\) | 0.453258 | − | 1.69158i | 0.0201897 | − | 0.0753491i | ||||
\(505\) | −1.16248 | − | 43.8964i | −0.0517299 | − | 1.95336i | ||||
\(506\) | −0.00512494 | 0.000903665i | −0.000227831 | 4.01728e-5i | ||||||
\(507\) | −8.81487 | − | 32.8975i | −0.391482 | − | 1.46103i | ||||
\(508\) | 3.56636 | + | 0.955603i | 0.158232 | + | 0.0423980i | ||||
\(509\) | −11.3975 | + | 4.14836i | −0.505187 | + | 0.183873i | −0.582025 | − | 0.813171i | \(-0.697740\pi\) |
0.0768386 | + | 0.997044i | \(0.475517\pi\) | |||||||
\(510\) | −13.1960 | + | 9.77061i | −0.584331 | + | 0.432650i | ||||
\(511\) | −0.522158 | − | 0.622283i | −0.0230989 | − | 0.0275282i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 29.8606 | + | 35.5865i | 1.31838 | + | 1.57118i | ||||
\(514\) | −1.86413 | + | 5.12166i | −0.0822233 | + | 0.225907i | ||||
\(515\) | 3.47226 | − | 2.12922i | 0.153006 | − | 0.0938246i | ||||
\(516\) | 16.5641 | + | 23.6560i | 0.729195 | + | 1.04140i | ||||
\(517\) | −1.13621 | − | 1.13621i | −0.0499705 | − | 0.0499705i | ||||
\(518\) | −0.389535 | − | 1.86401i | −0.0171152 | − | 0.0819000i | ||||
\(519\) | 35.2851i | 1.54884i | ||||||||
\(520\) | −0.524883 | − | 2.57598i | −0.0230176 | − | 0.112964i | ||||
\(521\) | −34.5118 | + | 6.08536i | −1.51199 | + | 0.266604i | −0.867279 | − | 0.497823i | \(-0.834133\pi\) |
−0.644710 | + | 0.764427i | \(0.723022\pi\) | |||||||
\(522\) | 13.4190 | + | 28.7771i | 0.587333 | + | 1.25954i | ||||
\(523\) | −14.9576 | + | 12.5509i | −0.654050 | + | 0.548813i | −0.908297 | − | 0.418326i | \(-0.862617\pi\) |
0.254247 | + | 0.967139i | \(0.418172\pi\) | |||||||
\(524\) | −4.53823 | − | 4.53823i | −0.198254 | − | 0.198254i | ||||
\(525\) | 4.55490 | + | 0.556531i | 0.198792 | + | 0.0242890i | ||||
\(526\) | −3.05037 | − | 11.3841i | −0.133003 | − | 0.496372i | ||||
\(527\) | 2.44474 | − | 5.24275i | 0.106494 | − | 0.228378i | ||||
\(528\) | 0.294492 | − | 1.09906i | 0.0128161 | − | 0.0478305i | ||||
\(529\) | 11.4999 | − | 19.9184i | 0.499996 | − | 0.866019i | ||||
\(530\) | 5.71859 | − | 8.64542i | 0.248400 | − | 0.375533i | ||||
\(531\) | 48.5698 | − | 22.6484i | 2.10775 | − | 0.982859i | ||||
\(532\) | −0.956248 | − | 1.65627i | −0.0414586 | − | 0.0718084i | ||||
\(533\) | 6.98758 | − | 8.32747i | 0.302666 | − | 0.360703i | ||||
\(534\) | −25.5451 | + | 30.4435i | −1.10545 | + | 1.31742i | ||||
\(535\) | 1.18579 | − | 19.4822i | 0.0512660 | − | 0.842288i | ||||
\(536\) | −7.56880 | + | 10.8094i | −0.326922 | + | 0.466894i | ||||
\(537\) | −16.4511 | + | 2.90078i | −0.709919 | + | 0.125178i | ||||
\(538\) | 10.9868 | + | 30.1859i | 0.473673 | + | 1.30141i | ||||
\(539\) | −2.05215 | − | 1.72196i | −0.0883925 | − | 0.0741701i | ||||
\(540\) | 7.59156 | + | 15.2150i | 0.326689 | + | 0.654750i | ||||
\(541\) | −9.60490 | − | 2.57362i | −0.412947 | − | 0.110649i | 0.0463635 | − | 0.998925i | \(-0.485237\pi\) |
−0.459310 | + | 0.888276i | \(0.651903\pi\) | |||||||
\(542\) | 14.8488 | + | 5.40452i | 0.637811 | + | 0.232144i | ||||
\(543\) | −3.79721 | − | 5.42297i | −0.162954 | − | 0.232722i | ||||
\(544\) | 2.16925 | + | 1.25242i | 0.0930057 | + | 0.0536969i | ||||
\(545\) | −4.82502 | − | 42.2374i | −0.206681 | − | 1.80925i | ||||
\(546\) | 0.369036 | + | 1.01392i | 0.0157933 | + | 0.0433917i | ||||
\(547\) | −8.96809 | + | 15.5332i | −0.383448 | + | 0.664151i | −0.991553 | − | 0.129706i | \(-0.958597\pi\) |
0.608105 | + | 0.793857i | \(0.291930\pi\) | |||||||
\(548\) | 1.82631 | − | 20.8749i | 0.0780163 | − | 0.891730i | ||||
\(549\) | 22.3818 | − | 22.3818i | 0.955234 | − | 0.955234i | ||||
\(550\) | 1.92634 | + | 0.235366i | 0.0821395 | + | 0.0100361i | ||||
\(551\) | 32.5843 | + | 11.8597i | 1.38814 | + | 0.505240i | ||||
\(552\) | −0.0321971 | − | 0.0225447i | −0.00137040 | − | 0.000959565i | ||||
\(553\) | 0.630024 | − | 3.57304i | 0.0267913 | − | 0.151941i | ||||
\(554\) | −14.9347 | −0.634516 | ||||||||
\(555\) | 31.9780 | + | 23.8178i | 1.35739 | + | 1.01101i | ||||
\(556\) | −5.21800 | −0.221292 | ||||||||
\(557\) | 6.21244 | − | 35.2325i | 0.263229 | − | 1.49285i | −0.510800 | − | 0.859699i | \(-0.670651\pi\) |
0.774030 | − | 0.633149i | \(-0.218238\pi\) | |||||||
\(558\) | −10.5825 | − | 7.40996i | −0.447994 | − | 0.313689i | ||||
\(559\) | −10.8832 | − | 3.96116i | −0.460310 | − | 0.167539i | ||||
\(560\) | −0.199017 | − | 0.671141i | −0.00841001 | − | 0.0283609i | ||||
\(561\) | 2.01531 | − | 2.01531i | 0.0850864 | − | 0.0850864i | ||||
\(562\) | −1.24649 | + | 14.2475i | −0.0525802 | + | 0.600994i | ||||
\(563\) | 8.19926 | − | 14.2015i | 0.345558 | − | 0.598523i | −0.639897 | − | 0.768460i | \(-0.721023\pi\) |
0.985455 | + | 0.169937i | \(0.0543565\pi\) | |||||||
\(564\) | −4.15089 | − | 11.4045i | −0.174784 | − | 0.480215i | ||||
\(565\) | −5.44140 | + | 6.84493i | −0.228921 | + | 0.287969i | ||||
\(566\) | 20.5721 | + | 11.8773i | 0.864710 | + | 0.499241i | ||||
\(567\) | −0.989497 | − | 1.41315i | −0.0415550 | − | 0.0593466i | ||||
\(568\) | 0.0274752 | + | 0.0100002i | 0.00115283 | + | 0.000419598i | ||||
\(569\) | −23.4576 | − | 6.28544i | −0.983392 | − | 0.263499i | −0.268920 | − | 0.963163i | \(-0.586667\pi\) |
−0.714473 | + | 0.699663i | \(0.753333\pi\) | |||||||
\(570\) | 37.9797 | + | 12.6953i | 1.59080 | + | 0.531749i | ||||
\(571\) | 22.8411 | + | 19.1660i | 0.955871 | + | 0.802071i | 0.980277 | − | 0.197631i | \(-0.0633247\pi\) |
−0.0244052 | + | 0.999702i | \(0.507769\pi\) | |||||||
\(572\) | 0.156071 | + | 0.428802i | 0.00652567 | + | 0.0179291i | ||||
\(573\) | 57.5328 | − | 10.1446i | 2.40347 | − | 0.423796i | ||||
\(574\) | 1.66031 | − | 2.37117i | 0.0693001 | − | 0.0989709i | ||||
\(575\) | 0.0303995 | − | 0.0597500i | 0.00126775 | − | 0.00249175i | ||||
\(576\) | 3.59573 | − | 4.28522i | 0.149822 | − | 0.178551i | ||||
\(577\) | −8.50243 | + | 10.1328i | −0.353961 | + | 0.421834i | −0.913416 | − | 0.407026i | \(-0.866566\pi\) |
0.559456 | + | 0.828860i | \(0.311010\pi\) | |||||||
\(578\) | −5.36291 | − | 9.28883i | −0.223068 | − | 0.386364i | ||||
\(579\) | −9.23385 | + | 4.30582i | −0.383746 | + | 0.178944i | ||||
\(580\) | 10.5859 | + | 7.00215i | 0.439556 | + | 0.290749i | ||||
\(581\) | −2.57149 | + | 4.45395i | −0.106683 | + | 0.184781i | ||||
\(582\) | 6.37231 | − | 23.7818i | 0.264141 | − | 0.985787i | ||||
\(583\) | −0.760394 | + | 1.63067i | −0.0314923 | + | 0.0675355i | ||||
\(584\) | −0.671585 | − | 2.50639i | −0.0277904 | − | 0.103715i | ||||
\(585\) | −12.9260 | − | 7.01327i | −0.534423 | − | 0.289963i | ||||
\(586\) | −0.741832 | − | 0.741832i | −0.0306448 | − | 0.0306448i | ||||
\(587\) | 23.6119 | − | 19.8127i | 0.974568 | − | 0.817760i | −0.00869307 | − | 0.999962i | \(-0.502767\pi\) |
0.983261 | + | 0.182203i | \(0.0583227\pi\) | |||||||
\(588\) | −8.55105 | − | 18.3378i | −0.352639 | − | 0.756238i | ||||
\(589\) | −13.8940 | + | 2.44989i | −0.572492 | + | 0.100946i | ||||
\(590\) | 11.8182 | − | 17.8668i | 0.486547 | − | 0.735565i | ||||
\(591\) | 47.2814i | 1.94490i | ||||||||
\(592\) | 1.38863 | − | 5.92214i | 0.0570724 | − | 0.243398i | ||||
\(593\) | −14.4784 | − | 14.4784i | −0.594556 | − | 0.594556i | 0.344303 | − | 0.938859i | \(-0.388115\pi\) |
−0.938859 | + | 0.344303i | \(0.888115\pi\) | |||||||
\(594\) | −1.69291 | − | 2.41772i | −0.0694608 | − | 0.0992003i | ||||
\(595\) | 0.408829 | − | 1.70512i | 0.0167604 | − | 0.0699032i | ||||
\(596\) | 6.89486 | − | 18.9435i | 0.282425 | − | 0.775955i | ||||
\(597\) | 14.3074 | + | 17.0509i | 0.585562 | + | 0.697845i | ||||
\(598\) | 0.0157633 | 0.000644608 | ||||||||
\(599\) | 15.4300 | + | 18.3888i | 0.630454 | + | 0.751346i | 0.982830 | − | 0.184512i | \(-0.0590706\pi\) |
−0.352376 | + | 0.935859i | \(0.614626\pi\) | |||||||
\(600\) | 12.4351 | + | 7.76005i | 0.507659 | + | 0.316803i | ||||
\(601\) | 5.94026 | − | 2.16208i | 0.242308 | − | 0.0881930i | −0.218011 | − | 0.975946i | \(-0.569957\pi\) |
0.460320 | + | 0.887753i | \(0.347735\pi\) | |||||||
\(602\) | −2.97889 | − | 0.798190i | −0.121410 | − | 0.0325318i | ||||
\(603\) | 19.1052 | + | 71.3016i | 0.778024 | + | 2.90362i | ||||
\(604\) | −6.88308 | − | 1.21367i | −0.280069 | − | 0.0493837i | ||||
\(605\) | 24.2514 | − | 0.642236i | 0.985959 | − | 0.0261106i | ||||
\(606\) | −14.9001 | + | 55.6079i | −0.605275 | + | 2.25892i | ||||
\(607\) | −1.30406 | − | 1.09424i | −0.0529303 | − | 0.0444138i | 0.615939 | − | 0.787794i | \(-0.288777\pi\) |
−0.668869 | + | 0.743380i | \(0.733221\pi\) | |||||||
\(608\) | −0.532435 | − | 6.08576i | −0.0215931 | − | 0.246810i | ||||
\(609\) | −4.72121 | − | 2.20154i | −0.191313 | − | 0.0892108i | ||||
\(610\) | 2.95002 | − | 12.3038i | 0.119443 | − | 0.498166i | ||||
\(611\) | 3.98701 | + | 2.79174i | 0.161297 | + | 0.112942i | ||||
\(612\) | 13.1669 | − | 4.79236i | 0.532241 | − | 0.193720i | ||||
\(613\) | 33.6625 | − | 2.94509i | 1.35962 | − | 0.118951i | 0.616100 | − | 0.787668i | \(-0.288712\pi\) |
0.743517 | + | 0.668717i | \(0.233156\pi\) | |||||||
\(614\) | −1.14212 | − | 13.0544i | −0.0460920 | − | 0.526835i | ||||
\(615\) | 6.87919 | + | 60.2193i | 0.277396 | + | 2.42827i | ||||
\(616\) | 0.0513522 | + | 0.110125i | 0.00206904 | + | 0.00443707i | ||||
\(617\) | 5.79408 | − | 4.05706i | 0.233261 | − | 0.163331i | −0.451103 | − | 0.892472i | \(-0.648969\pi\) |
0.684363 | + | 0.729141i | \(0.260080\pi\) | |||||||
\(618\) | −5.15800 | + | 1.38208i | −0.207485 | + | 0.0555954i | ||||
\(619\) | −16.6182 | − | 28.7836i | −0.667942 | − | 1.15691i | −0.978479 | − | 0.206349i | \(-0.933842\pi\) |
0.310536 | − | 0.950562i | \(-0.399491\pi\) | |||||||
\(620\) | −5.15451 | − | 0.313730i | −0.207010 | − | 0.0125997i | ||||
\(621\) | −0.0984827 | + | 0.0263884i | −0.00395197 | + | 0.00105893i | ||||
\(622\) | −13.2839 | − | 1.16219i | −0.532637 | − | 0.0465997i | ||||
\(623\) | − | 4.24399i | − | 0.170032i | ||||||
\(624\) | −0.300388 | + | 3.43345i | −0.0120252 | + | 0.137448i | ||||
\(625\) | −10.1413 | + | 22.8507i | −0.405654 | + | 0.914027i | ||||
\(626\) | 6.05400 | + | 34.3339i | 0.241966 | + | 1.37226i | ||||
\(627\) | −6.84542 | − | 1.20703i | −0.273380 | − | 0.0482042i | ||||
\(628\) | −3.94111 | + | 3.94111i | −0.157267 | + | 0.157267i | ||||
\(629\) | 10.4293 | − | 11.1074i | 0.415842 | − | 0.442883i | ||||
\(630\) | −3.59160 | − | 1.56041i | −0.143093 | − | 0.0621681i | ||||
\(631\) | −12.2667 | + | 8.58925i | −0.488331 | + | 0.341933i | −0.791669 | − | 0.610950i | \(-0.790788\pi\) |
0.303339 | + | 0.952883i | \(0.401899\pi\) | |||||||
\(632\) | 6.64734 | − | 9.49339i | 0.264417 | − | 0.377627i | ||||
\(633\) | 56.1214 | − | 26.1698i | 2.23062 | − | 1.04016i | ||||
\(634\) | −20.3447 | − | 1.77993i | −0.807991 | − | 0.0706901i | ||||
\(635\) | 3.28980 | − | 7.57216i | 0.130552 | − | 0.300492i | ||||
\(636\) | −10.4102 | + | 8.73521i | −0.412792 | + | 0.346374i | ||||
\(637\) | 7.02741 | + | 4.05728i | 0.278436 | + | 0.160755i | ||||
\(638\) | −1.99668 | − | 0.931067i | −0.0790493 | − | 0.0368613i | ||||
\(639\) | 0.141646 | − | 0.0817796i | 0.00560345 | − | 0.00323515i | ||||
\(640\) | 0.329857 | − | 2.21160i | 0.0130387 | − | 0.0874213i | ||||
\(641\) | 2.99988 | − | 17.0132i | 0.118488 | − | 0.671979i | −0.866476 | − | 0.499219i | \(-0.833620\pi\) |
0.984964 | − | 0.172760i | \(-0.0552686\pi\) | |||||||
\(642\) | −8.75193 | + | 24.0457i | −0.345411 | + | 0.949009i | ||||
\(643\) | 4.22417 | − | 2.43883i | 0.166585 | − | 0.0961779i | −0.414390 | − | 0.910100i | \(-0.636005\pi\) |
0.580975 | + | 0.813922i | \(0.302672\pi\) | |||||||
\(644\) | 0.00418148 | 0.000365832i | 0.000164773 | 1.44158e-5i | ||||||
\(645\) | 57.7815 | − | 28.8302i | 2.27515 | − | 1.13519i | ||||
\(646\) | 6.46692 | − | 13.8684i | 0.254438 | − | 0.545643i | ||||
\(647\) | 2.63817 | + | 14.9618i | 0.103717 | + | 0.588210i | 0.991725 | + | 0.128381i | \(0.0409781\pi\) |
−0.888008 | + | 0.459829i | \(0.847911\pi\) | |||||||
\(648\) | −0.956894 | − | 5.42681i | −0.0375903 | − | 0.213185i | ||||
\(649\) | −1.57145 | + | 3.36998i | −0.0616847 | + | 0.132283i | ||||
\(650\) | −5.87018 | + | 0.311132i | −0.230247 | + | 0.0122036i | ||||
\(651\) | 2.11143 | − | 0.184726i | 0.0827533 | − | 0.00723998i | ||||
\(652\) | −5.65481 | + | 3.26481i | −0.221459 | + | 0.127860i | ||||
\(653\) | −11.0554 | + | 30.3745i | −0.432632 | + | 1.18865i | 0.511558 | + | 0.859249i | \(0.329068\pi\) |
−0.944191 | + | 0.329399i | \(0.893154\pi\) | |||||||
\(654\) | −9.67819 | + | 54.8878i | −0.378447 | + | 2.14628i | ||||
\(655\) | −11.5337 | + | 8.53981i | −0.450661 | + | 0.333678i | ||||
\(656\) | 8.00755 | − | 4.62316i | 0.312642 | − | 0.180504i | ||||
\(657\) | −13.1553 | − | 6.13440i | −0.513236 | − | 0.239326i | ||||
\(658\) | 1.12241 | + | 0.648027i | 0.0437563 | + | 0.0252627i | ||||
\(659\) | −27.1627 | + | 22.7922i | −1.05811 | + | 0.887860i | −0.993923 | − | 0.110078i | \(-0.964890\pi\) |
−0.0641874 | + | 0.997938i | \(0.520446\pi\) | |||||||
\(660\) | −2.33355 | − | 1.01383i | −0.0908332 | − | 0.0394634i | ||||
\(661\) | −3.90332 | − | 0.341496i | −0.151822 | − | 0.0132827i | 0.0109915 | − | 0.999940i | \(-0.496501\pi\) |
−0.162813 | + | 0.986657i | \(0.552057\pi\) | |||||||
\(662\) | 21.6702 | − | 10.1050i | 0.842237 | − | 0.392741i | ||||
\(663\) | −4.95173 | + | 7.07180i | −0.192309 | + | 0.274646i | ||||
\(664\) | −13.4570 | + | 9.42272i | −0.522234 | + | 0.365672i | ||||
\(665\) | −3.97844 | + | 1.56851i | −0.154277 | + | 0.0608242i | ||||
\(666\) | −20.3845 | − | 27.2450i | −0.789885 | − | 1.05572i | ||||
\(667\) | −0.0538136 | + | 0.0538136i | −0.00208367 | + | 0.00208367i | ||||
\(668\) | 6.62705 | + | 1.16853i | 0.256408 | + | 0.0452117i | ||||
\(669\) | −1.88827 | − | 10.7089i | −0.0730048 | − | 0.414031i | ||||
\(670\) | 21.4094 | + | 20.3047i | 0.827118 | + | 0.784440i | ||||
\(671\) | −0.191412 | + | 2.18785i | −0.00738937 | + | 0.0844608i | ||||
\(672\) | 0.917754i | 0.0354031i | ||||||||
\(673\) | −31.1298 | − | 2.72350i | −1.19996 | − | 0.104983i | −0.530407 | − | 0.847743i | \(-0.677961\pi\) |
−0.669558 | + | 0.742760i | \(0.733516\pi\) | |||||||
\(674\) | −18.7313 | + | 5.01902i | −0.721501 | + | 0.193326i | ||||
\(675\) | 36.1537 | − | 11.7708i | 1.39156 | − | 0.453056i | ||||
\(676\) | 5.80888 | + | 10.0613i | 0.223419 | + | 0.386972i | ||||
\(677\) | −15.3623 | + | 4.11631i | −0.590420 | + | 0.158203i | −0.541645 | − | 0.840607i | \(-0.682198\pi\) |
−0.0487749 | + | 0.998810i | \(0.515532\pi\) | |||||||
\(678\) | 9.39072 | − | 6.57545i | 0.360648 | − | 0.252529i | ||||
\(679\) | 1.11117 | + | 2.38292i | 0.0426429 | + | 0.0914481i | ||||
\(680\) | 3.48539 | − | 4.38440i | 0.133659 | − | 0.168134i | ||||
\(681\) | 1.09821 | + | 12.5526i | 0.0420835 | + | 0.481016i | ||||
\(682\) | 0.892957 | − | 0.0781236i | 0.0341931 | − | 0.00299151i | ||||
\(683\) | −17.6432 | + | 6.42159i | −0.675098 | + | 0.245715i | −0.656741 | − | 0.754116i | \(-0.728066\pi\) |
−0.0183565 | + | 0.999832i | \(0.505843\pi\) | |||||||
\(684\) | −27.9933 | − | 19.6011i | −1.07035 | − | 0.749469i | ||||
\(685\) | −45.5645 | − | 10.9248i | −1.74093 | − | 0.417415i | ||||
\(686\) | 3.94441 | + | 1.83931i | 0.150598 | + | 0.0702252i | ||||
\(687\) | −2.57926 | − | 29.4810i | −0.0984048 | − | 1.12477i | ||||
\(688\) | −7.54631 | − | 6.33210i | −0.287700 | − | 0.241409i | ||||
\(689\) | 1.41057 | − | 5.26433i | 0.0537386 | − | 0.200555i | ||||
\(690\) | −0.0604803 | + | 0.0637708i | −0.00230245 | + | 0.00242771i | ||||
\(691\) | −41.3698 | − | 7.29461i | −1.57378 | − | 0.277500i | −0.682477 | − | 0.730907i | \(-0.739097\pi\) |
−0.891304 | + | 0.453407i | \(0.850209\pi\) | |||||||
\(692\) | −3.11523 | − | 11.6262i | −0.118423 | − | 0.441962i | ||||
\(693\) | 0.656560 | + | 0.175925i | 0.0249406 | + | 0.00668283i | ||||
\(694\) | 27.3717 | − | 9.96249i | 1.03902 | − | 0.378171i | ||||
\(695\) | −1.72119 | + | 11.5402i | −0.0652885 | + | 0.437743i | ||||
\(696\) | −10.6959 | − | 12.7468i | −0.405426 | − | 0.483167i | ||||
\(697\) | 23.1605 | 0.877266 | ||||||||
\(698\) | −3.60664 | − | 4.29823i | −0.136513 | − | 0.162690i | ||||
\(699\) | 20.9143 | − | 57.4616i | 0.791052 | − | 2.17340i | ||||
\(700\) | −1.54994 | + | 0.218767i | −0.0585824 | + | 0.00826863i | ||||
\(701\) | 9.78480 | + | 13.9741i | 0.369567 | + | 0.527796i | 0.960262 | − | 0.279098i | \(-0.0900356\pi\) |
−0.590696 | + | 0.806894i | \(0.701147\pi\) | |||||||
\(702\) | 6.32173 | + | 6.32173i | 0.238598 | + | 0.238598i | ||||
\(703\) | −36.7801 | − | 5.29773i | −1.38719 | − | 0.199808i | ||||
\(704\) | 0.388134i | 0.0146283i | ||||||||
\(705\) | −26.5914 | + | 5.41829i | −1.00149 | + | 0.204065i | ||||
\(706\) | −1.51125 | + | 0.266475i | −0.0568768 | + | 0.0100289i | ||||
\(707\) | −2.59821 | − | 5.57188i | −0.0977157 | − | 0.209552i | ||||
\(708\) | −21.5140 | + | 18.0524i | −0.808546 | + | 0.678451i | ||||
\(709\) | 16.9411 | + | 16.9411i | 0.636235 | + | 0.636235i | 0.949625 | − | 0.313390i | \(-0.101465\pi\) |
−0.313390 | + | 0.949625i | \(0.601465\pi\) | |||||||
\(710\) | 0.0311793 | − | 0.0574657i | 0.00117014 | − | 0.00215665i | ||||
\(711\) | −16.7793 | − | 62.6210i | −0.629271 | − | 2.34847i | ||||
\(712\) | 5.72918 | − | 12.2863i | 0.214710 | − | 0.460447i | ||||
\(713\) | 0.00801414 | − | 0.0299092i | 0.000300132 | − | 0.00112011i | ||||
\(714\) | −1.14941 | + | 1.99084i | −0.0430156 | + | 0.0745052i | ||||
\(715\) | 0.999823 | − | 0.203725i | 0.0373912 | − | 0.00761887i | ||||
\(716\) | 5.16445 | − | 2.40822i | 0.193004 | − | 0.0899994i | ||||
\(717\) | 6.99428 | + | 12.1144i | 0.261206 | + | 0.452422i | ||||
\(718\) | −13.9273 | + | 16.5979i | −0.519763 | + | 0.619429i | ||||
\(719\) | 26.0148 | − | 31.0032i | 0.970188 | − | 1.15622i | −0.0175098 | − | 0.999847i | \(-0.505574\pi\) |
0.987697 | − | 0.156378i | \(-0.0499817\pi\) | |||||||
\(720\) | −8.29115 | − | 9.36584i | −0.308993 | − | 0.349044i | ||||
\(721\) | 0.327086 | − | 0.467127i | 0.0121813 | − | 0.0173967i | ||||
\(722\) | −18.0416 | + | 3.18123i | −0.671440 | + | 0.118393i | ||||
\(723\) | −12.7733 | − | 35.0943i | −0.475044 | − | 1.30517i | ||||
\(724\) | 1.72994 | + | 1.45159i | 0.0642926 | + | 0.0539479i | ||||
\(725\) | 18.9778 | − | 21.1021i | 0.704819 | − | 0.783714i | ||||
\(726\) | −30.7216 | − | 8.23184i | −1.14019 | − | 0.305512i | ||||
\(727\) | 35.8270 | + | 13.0400i | 1.32875 | + | 0.483625i | 0.906251 | − | 0.422739i | \(-0.138931\pi\) |
0.422497 | + | 0.906364i | \(0.361154\pi\) | |||||||
\(728\) | −0.211111 | − | 0.301498i | −0.00782430 | − | 0.0111743i | ||||
\(729\) | 31.2216 | + | 18.0258i | 1.15635 | + | 0.667621i | ||||
\(730\) | −5.76467 | + | 0.658531i | −0.213360 | + | 0.0243733i | ||||
\(731\) | −8.43938 | − | 23.1870i | −0.312142 | − | 0.857603i | ||||
\(732\) | −8.29388 | + | 14.3654i | −0.306551 | + | 0.530961i | ||||
\(733\) | 2.35173 | − | 26.8804i | 0.0868631 | − | 0.992850i | −0.820262 | − | 0.571988i | \(-0.806172\pi\) |
0.907125 | − | 0.420862i | \(-0.138272\pi\) | |||||||
\(734\) | 24.9274 | − | 24.9274i | 0.920088 | − | 0.920088i | ||||
\(735\) | −43.3766 | + | 12.8627i | −1.59997 | + | 0.474448i | ||||
\(736\) | 0.0125992 | + | 0.00458572i | 0.000464411 | + | 0.000169032i | ||||
\(737\) | −4.19548 | − | 2.93771i | −0.154542 | − | 0.108212i | ||||
\(738\) | 8.98171 | − | 50.9378i | 0.330621 | − | 1.87505i | ||||
\(739\) | 38.3506 | 1.41075 | 0.705375 | − | 0.708835i | \(-0.250779\pi\) | ||||
0.705375 | + | 0.708835i | \(0.250779\pi\) | |||||||
\(740\) | −12.6394 | − | 5.02456i | −0.464633 | − | 0.184706i | ||||
\(741\) | 21.0551 | 0.773479 | ||||||||
\(742\) | 0.252005 | − | 1.42919i | 0.00925140 | − | 0.0524673i | ||||
\(743\) | 7.01510 | + | 4.91203i | 0.257359 | + | 0.180205i | 0.695135 | − | 0.718879i | \(-0.255345\pi\) |
−0.437776 | + | 0.899084i | \(0.644234\pi\) | |||||||
\(744\) | 6.36191 | + | 2.31555i | 0.233239 | + | 0.0848921i | ||||
\(745\) | −39.6212 | − | 21.4973i | −1.45161 | − | 0.787602i | ||||
\(746\) | 0.487709 | − | 0.487709i | 0.0178563 | − | 0.0178563i | ||||
\(747\) | −8.00941 | + | 91.5479i | −0.293049 | + | 3.34956i | ||||
\(748\) | −0.486105 | + | 0.841958i | −0.0177737 | + | 0.0307850i | ||||
\(749\) | −0.934624 | − | 2.56786i | −0.0341504 | − | 0.0938275i | ||||
\(750\) | 21.2639 | − | 24.9417i | 0.776449 | − | 0.910743i | ||||
\(751\) | −25.3632 | − | 14.6434i | −0.925515 | − | 0.534346i | −0.0401246 | − | 0.999195i | \(-0.512775\pi\) |
−0.885390 | + | 0.464848i | \(0.846109\pi\) | |||||||
\(752\) | 2.37457 | + | 3.39123i | 0.0865915 | + | 0.123666i | ||||
\(753\) | −59.0315 | − | 21.4857i | −2.15123 | − | 0.782983i | ||||
\(754\) | 6.44593 | + | 1.72718i | 0.234747 | + | 0.0629002i | ||||
\(755\) | −4.95460 | + | 14.8223i | −0.180316 | + | 0.539440i | ||||
\(756\) | 1.82366 | + | 1.53023i | 0.0663259 | + | 0.0556541i | ||||
\(757\) | −4.62252 | − | 12.7003i | −0.168008 | − | 0.461599i | 0.826904 | − | 0.562343i | \(-0.190100\pi\) |
−0.994912 | + | 0.100744i | \(0.967878\pi\) | |||||||
\(758\) | 12.4953 | − | 2.20325i | 0.453849 | − | 0.0800258i | ||||
\(759\) | 0.00875034 | − | 0.0124968i | 0.000317617 | − | 0.000453605i | ||||
\(760\) | −13.6349 | − | 0.829892i | −0.494591 | − | 0.0301033i | ||||
\(761\) | 20.5234 | − | 24.4588i | 0.743972 | − | 0.886632i | −0.252750 | − | 0.967532i | \(-0.581335\pi\) |
0.996722 | + | 0.0808999i | \(0.0257794\pi\) | |||||||
\(762\) | −6.95738 | + | 8.29148i | −0.252039 | + | 0.300369i | ||||
\(763\) | −2.97596 | − | 5.15451i | −0.107737 | − | 0.186606i | ||||
\(764\) | −18.0611 | + | 8.42201i | −0.653426 | + | 0.304698i | ||||
\(765\) | −6.25562 | − | 30.7008i | −0.226172 | − | 1.10999i | ||||
\(766\) | −7.09614 | + | 12.2909i | −0.256394 | + | 0.444088i | ||||
\(767\) | 2.91512 | − | 10.8794i | 0.105259 | − | 0.392832i | ||||
\(768\) | −1.23892 | + | 2.65688i | −0.0447059 | + | 0.0958720i | ||||
\(769\) | 13.1603 | + | 49.1148i | 0.474572 | + | 1.77113i | 0.623020 | + | 0.782206i | \(0.285905\pi\) |
−0.148448 | + | 0.988920i | \(0.547428\pi\) | |||||||
\(770\) | 0.260492 | − | 0.0772453i | 0.00938749 | − | 0.00278373i | ||||
\(771\) | −11.2981 | − | 11.2981i | −0.406892 | − | 0.406892i | ||||
\(772\) | 2.66235 | − | 2.23397i | 0.0958199 | − | 0.0804025i | ||||
\(773\) | 2.76903 | + | 5.93821i | 0.0995952 | + | 0.213583i | 0.949792 | − | 0.312883i | \(-0.101295\pi\) |
−0.850197 | + | 0.526465i | \(0.823517\pi\) | |||||||
\(774\) | −54.2690 | + | 9.56908i | −1.95066 | + | 0.343954i | ||||
\(775\) | −2.39409 | + | 11.2962i | −0.0859984 | + | 0.405773i | ||||
\(776\) | 8.39854i | 0.301490i | ||||||||
\(777\) | 5.43507 | + | 1.27442i | 0.194982 | + | 0.0457197i | ||||
\(778\) | −13.2882 | − | 13.2882i | −0.476407 | − | 0.476407i | ||||
\(779\) | −32.3989 | − | 46.2705i | −1.16081 | − | 1.65781i | ||||
\(780\) | 7.49436 | + | 1.79689i | 0.268341 | + | 0.0643389i | ||||
\(781\) | −0.00388140 | + | 0.0106641i | −0.000138887 | + | 0.000381590i | ||||
\(782\) | 0.0215875 | + | 0.0257269i | 0.000771966 | + | 0.000919994i | ||||
\(783\) | −43.1630 | −1.54252 | ||||||||
\(784\) | 4.43652 | + | 5.28723i | 0.158447 | + | 0.188830i | ||||
\(785\) | 7.41617 | + | 10.0162i | 0.264694 | + | 0.357492i | ||||
\(786\) | 17.6801 | − | 6.43503i | 0.630628 | − | 0.229530i | ||||
\(787\) | 17.1626 | + | 4.59870i | 0.611780 | + | 0.163926i | 0.551388 | − | 0.834249i | \(-0.314098\pi\) |
0.0603915 | + | 0.998175i | \(0.480765\pi\) | |||||||
\(788\) | −4.17436 | − | 15.5789i | −0.148705 | − | 0.554976i | ||||
\(789\) | 34.0255 | + | 5.99962i | 1.21134 | + | 0.213592i | ||||
\(790\) | −18.8030 | − | 17.8328i | −0.668979 | − | 0.634461i | ||||
\(791\) | −0.316857 | + | 1.18253i | −0.0112661 | + | 0.0420458i | ||||
\(792\) | 1.66324 | + | 1.39562i | 0.0591006 | + | 0.0495913i | ||||
\(793\) | −0.579799 | − | 6.62713i | −0.0205893 | − | 0.235336i | ||||
\(794\) | 22.0388 | + | 10.2769i | 0.782129 | + | 0.364713i | ||||
\(795\) | 15.8850 | + | 25.9047i | 0.563381 | + | 0.918744i | ||||
\(796\) | −6.21957 | − | 4.35499i | −0.220447 | − | 0.154358i | ||||
\(797\) | 29.5496 | − | 10.7552i | 1.04670 | − | 0.380968i | 0.239284 | − | 0.970950i | \(-0.423087\pi\) |
0.807416 | + | 0.589982i | \(0.200865\pi\) | |||||||
\(798\) | 5.58523 | − | 0.488645i | 0.197715 | − | 0.0172978i | ||||
\(799\) | 0.903790 | + | 10.3304i | 0.0319738 | + | 0.365462i | ||||
\(800\) | −4.78239 | − | 1.45902i | −0.169083 | − | 0.0515843i | ||||
\(801\) | −32.0488 | − | 68.7289i | −1.13239 | − | 2.42842i | ||||
\(802\) | −6.70325 | + | 4.69367i | −0.236700 | + | 0.165739i | ||||
\(803\) | 0.972814 | − | 0.260665i | 0.0343298 | − | 0.00919865i | ||||
\(804\) | −19.3421 | − | 33.5014i | −0.682142 | − | 1.18150i | ||||
\(805\) | 0.000570212 | − | 0.00936845i | 2.00973e−5 | − | 0.000330194i | ||||
\(806\) | −2.62264 | + | 0.702735i | −0.0923786 | + | 0.0247528i | ||||
\(807\) | −93.8122 | − | 8.20750i | −3.30235 | − | 0.288918i | ||||
\(808\) | − | 19.6379i | − | 0.690860i | ||||||
\(809\) | 0.181877 | − | 2.07886i | 0.00639444 | − | 0.0730888i | −0.992327 | − | 0.123641i | \(-0.960543\pi\) |
0.998721 | + | 0.0505527i | \(0.0160983\pi\) | |||||||
\(810\) | −12.3176 | + | 0.326200i | −0.432796 | + | 0.0114615i | ||||
\(811\) | −2.89640 | − | 16.4263i | −0.101706 | − | 0.576805i | −0.992485 | − | 0.122368i | \(-0.960951\pi\) |
0.890779 | − | 0.454438i | \(-0.150160\pi\) | |||||||
\(812\) | 1.74998 | + | 0.308568i | 0.0614122 | + | 0.0108286i | ||||
\(813\) | −32.7557 | + | 32.7557i | −1.14879 | + | 1.14879i | ||||
\(814\) | 2.29858 | + | 0.538975i | 0.0805652 | + | 0.0188911i | ||||
\(815\) | 5.35518 | + | 13.5831i | 0.187584 | + | 0.475796i | ||||
\(816\) | −6.01506 | + | 4.21179i | −0.210569 | + | 0.147442i | ||||
\(817\) | −34.5177 | + | 49.2964i | −1.20762 | + | 1.72466i | ||||
\(818\) | 17.5656 | − | 8.19099i | 0.614168 | − | 0.286391i | ||||
\(819\) | −2.05109 | − | 0.179447i | −0.0716707 | − | 0.00627038i | ||||
\(820\) | −7.58326 | − | 19.2345i | −0.264819 | − | 0.671698i | ||||
\(821\) | 19.5952 | − | 16.4423i | 0.683877 | − | 0.573841i | −0.233260 | − | 0.972415i | \(-0.574939\pi\) |
0.917136 | + | 0.398574i | \(0.130495\pi\) | |||||||
\(822\) | 53.1994 | + | 30.7147i | 1.85554 | + | 1.07130i | ||||
\(823\) | 33.1342 | + | 15.4507i | 1.15498 | + | 0.538578i | 0.903206 | − | 0.429207i | \(-0.141207\pi\) |
0.251778 | + | 0.967785i | \(0.418985\pi\) | |||||||
\(824\) | 1.57751 | − | 0.910774i | 0.0549550 | − | 0.0317283i | ||||
\(825\) | −3.01193 | + | 4.82647i | −0.104862 | + | 0.168036i | ||||
\(826\) | 0.520800 | − | 2.95360i | 0.0181209 | − | 0.102769i | ||||
\(827\) | 8.23112 | − | 22.6148i | 0.286224 | − | 0.786394i | −0.710362 | − | 0.703836i | \(-0.751469\pi\) |
0.996586 | − | 0.0825580i | \(-0.0263090\pi\) | |||||||
\(828\) | 0.0649540 | − | 0.0375012i | 0.00225731 | − | 0.00130326i | ||||
\(829\) | 18.9503 | − | 1.65794i | 0.658173 | − | 0.0575826i | 0.246823 | − | 0.969060i | \(-0.420613\pi\) |
0.411349 | + | 0.911478i | \(0.365058\pi\) | |||||||
\(830\) | 16.4004 | + | 32.8698i | 0.569267 | + | 1.14093i | ||||
\(831\) | 18.5030 | − | 39.6798i | 0.641863 | − | 1.37648i | ||||
\(832\) | −0.204155 | − | 1.15782i | −0.00707781 | − | 0.0401402i | ||||
\(833\) | 3.00209 | + | 17.0257i | 0.104016 | + | 0.589905i | ||||
\(834\) | 6.46471 | − | 13.8636i | 0.223855 | − | 0.480058i | ||||
\(835\) | 4.77029 | − | 14.2710i | 0.165083 | − | 0.493867i | ||||
\(836\) | 2.36209 | − | 0.206656i | 0.0816945 | − | 0.00714734i | ||||
\(837\) | 15.2088 | − | 8.78083i | 0.525695 | − | 0.303510i | ||||
\(838\) | −3.63214 | + | 9.97922i | −0.125470 | + | 0.344726i | ||||
\(839\) | −2.46131 | + | 13.9588i | −0.0849739 | + | 0.481911i | 0.912388 | + | 0.409326i | \(0.134236\pi\) |
−0.997362 | + | 0.0725853i | \(0.976875\pi\) | |||||||
\(840\) | 2.02971 | + | 0.302727i | 0.0700316 | + | 0.0104451i | ||||
\(841\) | −2.78716 | + | 1.60917i | −0.0961089 | + | 0.0554885i | ||||
\(842\) | −15.6048 | − | 7.27662i | −0.537776 | − | 0.250769i | ||||
\(843\) | −36.3096 | − | 20.9634i | −1.25057 | − | 0.722017i | ||||
\(844\) | −16.1812 | + | 13.5776i | −0.556979 | + | 0.467361i | ||||
\(845\) | 24.1677 | − | 9.52818i | 0.831393 | − | 0.327779i | ||||
\(846\) | 23.0705 | + | 2.01841i | 0.793180 | + | 0.0693942i | ||||
\(847\) | 3.07829 | − | 1.43543i | 0.105771 | − | 0.0493219i | ||||
\(848\) | 2.65889 | − | 3.79729i | 0.0913067 | − | 0.130399i | ||||
\(849\) | −57.0439 | + | 39.9426i | −1.95774 | + | 1.37083i | ||||
\(850\) | −8.54688 | − | 9.15453i | −0.293156 | − | 0.313998i | ||||
\(851\) | 0.0446528 | − | 0.0682461i | 0.00153068 | − | 0.00233945i | ||||
\(852\) | −0.0606090 | + | 0.0606090i | −0.00207643 | + | 0.00207643i | ||||
\(853\) | −11.1525 | − | 1.96649i | −0.381856 | − | 0.0673314i | −0.0205743 | − | 0.999788i | \(-0.506549\pi\) |
−0.361281 | + | 0.932457i | \(0.617661\pi\) | |||||||
\(854\) | −0.307603 | − | 1.74451i | −0.0105260 | − | 0.0596958i | ||||
\(855\) | −52.5838 | + | 55.4446i | −1.79833 | + | 1.89617i | ||||
\(856\) | 0.760767 | − | 8.69560i | 0.0260025 | − | 0.297210i | ||||
\(857\) | 43.3102i | 1.47945i | 0.672911 | + | 0.739724i | \(0.265044\pi\) | ||||
−0.672911 | + | 0.739724i | \(0.734956\pi\) | |||||||
\(858\) | −1.33264 | − | 0.116591i | −0.0454955 | − | 0.00398034i | ||||
\(859\) | 40.6201 | − | 10.8841i | 1.38594 | − | 0.371362i | 0.512665 | − | 0.858589i | \(-0.328658\pi\) |
0.873275 | + | 0.487227i | \(0.161992\pi\) | |||||||
\(860\) | −16.4933 | + | 14.6008i | −0.562417 | + | 0.497882i | ||||
\(861\) | 4.24293 | + | 7.34896i | 0.144599 | + | 0.250452i | ||||
\(862\) | −26.6953 | + | 7.15298i | −0.909245 | + | 0.243632i | ||||
\(863\) | −3.95436 | + | 2.76887i | −0.134608 | + | 0.0942536i | −0.638941 | − | 0.769256i | \(-0.720627\pi\) |
0.504333 | + | 0.863509i | \(0.331738\pi\) | |||||||
\(864\) | 3.21373 | + | 6.89186i | 0.109333 | + | 0.234466i | ||||
\(865\) | −26.7401 | + | 3.05468i | −0.909192 | + | 0.103862i | ||||
\(866\) | 2.65713 | + | 30.3712i | 0.0902930 | + | 1.03205i | ||||
\(867\) | 31.3236 | − | 2.74046i | 1.06380 | − | 0.0930708i | ||||
\(868\) | −0.679392 | + | 0.247279i | −0.0230601 | + | 0.00839318i | ||||
\(869\) | 3.68470 | + | 2.58006i | 0.124995 | + | 0.0875225i | ||||
\(870\) | −31.7190 | + | 19.4504i | −1.07538 | + | 0.659430i | ||||
\(871\) | 14.0605 | + | 6.55653i | 0.476423 | + | 0.222160i | ||||
\(872\) | −1.65700 | − | 18.9396i | −0.0561132 | − | 0.641377i | ||||
\(873\) | 35.9896 | + | 30.1989i | 1.21806 | + | 1.02208i | ||||
\(874\) | 0.0211994 | − | 0.0791171i | 0.000717079 | − | 0.00267617i | ||||
\(875\) | −0.0274326 | + | 3.50003i | −0.000927390 | + | 0.118323i | ||||
\(876\) | 7.49122 | + | 1.32090i | 0.253105 | + | 0.0446292i | ||||
\(877\) | 3.20794 | + | 11.9722i | 0.108324 | + | 0.404272i | 0.998701 | − | 0.0509523i | \(-0.0162257\pi\) |
−0.890377 | + | 0.455225i | \(0.849559\pi\) | |||||||
\(878\) | −32.3995 | − | 8.68143i | −1.09343 | − | 0.292984i | ||||
\(879\) | 2.89003 | − | 1.05189i | 0.0974784 | − | 0.0354792i | ||||
\(880\) | 0.858398 | + | 0.128028i | 0.0289366 | + | 0.00431584i | ||||
\(881\) | 21.4035 | + | 25.5077i | 0.721103 | + | 0.859378i | 0.994738 | − | 0.102456i | \(-0.0326702\pi\) |
−0.273634 | + | 0.961834i | \(0.588226\pi\) | |||||||
\(882\) | 38.6095 | 1.30005 | ||||||||
\(883\) | 24.3253 | + | 28.9898i | 0.818612 | + | 0.975583i | 0.999969 | − | 0.00783376i | \(-0.00249359\pi\) |
−0.181358 | + | 0.983417i | \(0.558049\pi\) | |||||||
\(884\) | 1.00721 | − | 2.76729i | 0.0338762 | − | 0.0930740i | ||||
\(885\) | 32.8282 | + | 53.5352i | 1.10351 | + | 1.79957i | ||||
\(886\) | 7.07043 | + | 10.0976i | 0.237536 | + | 0.339236i | ||||
\(887\) | −21.7314 | − | 21.7314i | −0.729668 | − | 0.729668i | 0.240886 | − | 0.970553i | \(-0.422562\pi\) |
−0.970553 | + | 0.240886i | \(0.922562\pi\) | |||||||
\(888\) | 14.0140 | + | 11.0265i | 0.470280 | + | 0.370026i | ||||
\(889\) | − | 1.15588i | − | 0.0387668i | ||||||
\(890\) | −25.2826 | − | 16.7234i | −0.847473 | − | 0.560569i | ||||
\(891\) | 2.10633 | − | 0.371403i | 0.0705647 | − | 0.0124425i | ||||
\(892\) | 1.56764 | + | 3.36181i | 0.0524884 | + | 0.112562i | ||||
\(893\) | 19.3739 | − | 16.2567i | 0.648324 | − | 0.544008i | ||||
\(894\) | 41.7884 | + | 41.7884i | 1.39761 | + | 1.39761i | ||||
\(895\) | −3.62251 | − | 12.2161i | −0.121087 | − | 0.408338i | ||||
\(896\) | −0.0810263 | − | 0.302394i | −0.00270690 | − | 0.0101023i | ||||
\(897\) | −0.0195295 | + | 0.0418811i | −0.000652071 | + | 0.00139837i | ||||
\(898\) | 5.09397 | − | 19.0109i | 0.169988 | − | 0.634404i | ||||
\(899\) | 6.55431 | − | 11.3524i | 0.218598 | − | 0.378623i | ||||
\(900\) | −23.4484 | + | 15.2474i | −0.781614 | + | 0.508245i | ||||
\(901\) | 10.5236 | − | 4.90723i | 0.350591 | − | 0.163483i | ||||
\(902\) | 1.79440 | + | 3.10800i | 0.0597471 | + | 0.103485i | ||||
\(903\) | 5.81131 | − | 6.92566i | 0.193388 | − | 0.230471i | ||||
\(904\) | −2.51365 | + | 2.99565i | −0.0836028 | + | 0.0996339i | ||||
\(905\) | 3.78097 | − | 3.34712i | 0.125684 | − | 0.111262i | ||||
\(906\) | 11.7522 | − | 16.7839i | 0.390441 | − | 0.557608i | ||||
\(907\) | 16.0494 | − | 2.82994i | 0.532911 | − | 0.0939666i | 0.0992843 | − | 0.995059i | \(-0.468345\pi\) |
0.433627 | + | 0.901092i | \(0.357234\pi\) | |||||||
\(908\) | −1.47009 | − | 4.03904i | −0.0487867 | − | 0.134040i | ||||
\(909\) | −84.1530 | − | 70.6127i | −2.79118 | − | 2.34208i | ||||
\(910\) | −0.736431 | + | 0.367443i | −0.0244124 | + | 0.0121806i | ||||
\(911\) | −36.1815 | − | 9.69479i | −1.19875 | − | 0.321203i | −0.396408 | − | 0.918074i | \(-0.629744\pi\) |
−0.802337 | + | 0.596871i | \(0.796410\pi\) | |||||||
\(912\) | 16.8288 | + | 6.12518i | 0.557257 | + | 0.202825i | ||||
\(913\) | −3.65727 | − | 5.22313i | −0.121038 | − | 0.172860i | ||||
\(914\) | 2.99267 | + | 1.72782i | 0.0989886 | + | 0.0571511i | ||||
\(915\) | 29.0349 | + | 23.0813i | 0.959863 | + | 0.763045i | ||||
\(916\) | 3.45266 | + | 9.48610i | 0.114079 | + | 0.313429i | ||||
\(917\) | −1.00462 | + | 1.74005i | −0.0331755 | + | 0.0574616i | ||||
\(918\) | −1.66010 | + | 18.9751i | −0.0547916 | + | 0.626270i | ||||
\(919\) | 37.5287 | − | 37.5287i | 1.23796 | − | 1.23796i | 0.277122 | − | 0.960835i | \(-0.410619\pi\) |
0.960835 | − | 0.277122i | \(-0.0893806\pi\) | |||||||
\(920\) | 0.0142977 | − | 0.0263517i | 0.000471382 | − | 0.000868791i | ||||
\(921\) | 36.0991 | + | 13.1390i | 1.18951 | + | 0.432945i | ||||
\(922\) | 15.4426 | + | 10.8130i | 0.508574 | + | 0.356107i | ||||
\(923\) | 0.00596920 | − | 0.0338530i | 0.000196479 | − | 0.00111429i | ||||
\(924\) | −0.356211 | −0.0117185 | ||||||||
\(925\) | −15.2815 | + | 26.2959i | −0.502453 | + | 0.864604i | ||||
\(926\) | 21.4869 | 0.706102 | ||||||||
\(927\) | 1.76942 | − | 10.0349i | 0.0581153 | − | 0.329588i | ||||
\(928\) | 4.64960 | + | 3.25569i | 0.152631 | + | 0.106873i | ||||
\(929\) | −0.693541 | − | 0.252428i | −0.0227543 | − | 0.00828190i | 0.330618 | − | 0.943765i | \(-0.392743\pi\) |
−0.353372 | + | 0.935483i | \(0.614965\pi\) | |||||||
\(930\) | 7.21959 | − | 13.3062i | 0.236740 | − | 0.436329i | ||||
\(931\) | 29.8147 | − | 29.8147i | 0.977136 | − | 0.977136i | ||||
\(932\) | −1.81799 | + | 20.7797i | −0.0595502 | + | 0.680662i | ||||
\(933\) | 19.5456 | − | 33.8540i | 0.639894 | − | 1.10833i | ||||
\(934\) | −5.56284 | − | 15.2838i | −0.182022 | − | 0.500100i | ||||
\(935\) | 1.70173 | + | 1.35280i | 0.0556526 | + | 0.0442412i | ||||
\(936\) | −5.69561 | − | 3.28836i | −0.186167 | − | 0.107484i | ||||
\(937\) | 2.60279 | + | 3.71717i | 0.0850294 | + | 0.121435i | 0.859413 | − | 0.511281i | \(-0.170829\pi\) |
−0.774384 | + | 0.632716i | \(0.781940\pi\) | |||||||
\(938\) | 3.88196 | + | 1.41292i | 0.126751 | + | 0.0461334i | ||||
\(939\) | −98.7217 | − | 26.4524i | −3.22166 | − | 0.863241i | ||||
\(940\) | 8.28333 | − | 4.13298i | 0.270172 | − | 0.134803i | ||||
\(941\) | 15.4524 | + | 12.9661i | 0.503735 | + | 0.422684i | 0.858918 | − | 0.512113i | \(-0.171137\pi\) |
−0.355183 | + | 0.934797i | \(0.615581\pi\) | |||||||
\(942\) | −5.58832 | − | 15.3538i | −0.182077 | − | 0.500254i | ||||
\(943\) | 0.122089 | − | 0.0215276i | 0.00397576 | − | 0.000701034i | ||||
\(944\) | 5.49493 | − | 7.84757i | 0.178845 | − | 0.255417i | ||||
\(945\) | 3.98582 | − | 3.52846i | 0.129659 | − | 0.114781i | ||||
\(946\) | 2.45770 | − | 2.92897i | 0.0799068 | − | 0.0952292i | ||||
\(947\) | 14.5384 | − | 17.3262i | 0.472436 | − | 0.563027i | −0.476225 | − | 0.879324i | \(-0.657995\pi\) |
0.948660 | + | 0.316297i | \(0.102440\pi\) | |||||||
\(948\) | 16.9873 | + | 29.4228i | 0.551721 | + | 0.955609i | ||||
\(949\) | −2.76484 | + | 1.28927i | −0.0897506 | + | 0.0418514i | ||||
\(950\) | −6.33296 | + | 29.8813i | −0.205468 | + | 0.969478i | ||||
\(951\) | 29.9346 | − | 51.8483i | 0.970696 | − | 1.68130i | ||||
\(952\) | 0.202957 | − | 0.757447i | 0.00657788 | − | 0.0245490i | ||||
\(953\) | −22.1961 | + | 47.5998i | −0.719003 | + | 1.54191i | 0.116969 | + | 0.993136i | \(0.462682\pi\) |
−0.835972 | + | 0.548772i | \(0.815095\pi\) | |||||||
\(954\) | −6.71158 | − | 25.0480i | −0.217296 | − | 0.810958i | ||||
\(955\) | 12.6686 | + | 42.7220i | 0.409946 | + | 1.38245i | ||||
\(956\) | −3.37413 | − | 3.37413i | −0.109127 | − | 0.109127i | ||||
\(957\) | 4.94747 | − | 4.15142i | 0.159929 | − | 0.134196i | ||||
\(958\) | 9.06742 | + | 19.4451i | 0.292955 | + | 0.628244i | ||||
\(959\) | −6.46042 | + | 1.13915i | −0.208618 | + | 0.0367850i | ||||
\(960\) | 5.46731 | + | 3.61640i | 0.176457 | + | 0.116719i | ||||
\(961\) | − | 25.6665i | − | 0.827952i | ||||||
\(962\) | −7.14027 | − | 0.398753i | −0.230212 | − | 0.0128563i | ||||
\(963\) | −34.5271 | − | 34.5271i | −1.11262 | − | 1.11262i | ||||
\(964\) | 7.30711 | + | 10.4356i | 0.235346 | + | 0.336109i | ||||
\(965\) | −4.06247 | − | 6.62495i | −0.130776 | − | 0.213265i | ||||
\(966\) | −0.00420856 | + | 0.0115629i | −0.000135408 | + | 0.000372031i | ||||
\(967\) | 6.64702 | + | 7.92162i | 0.213754 | + | 0.254742i | 0.862258 | − | 0.506469i | \(-0.169050\pi\) |
−0.648504 | + | 0.761211i | \(0.724605\pi\) | |||||||
\(968\) | 10.8494 | 0.348711 | ||||||||
\(969\) | 28.8346 | + | 34.3637i | 0.926300 | + | 1.10392i | ||||
\(970\) | 18.5743 | + | 2.77031i | 0.596383 | + | 0.0889494i | ||||
\(971\) | 28.6871 | − | 10.4413i | 0.920614 | − | 0.335076i | 0.162131 | − | 0.986769i | \(-0.448163\pi\) |
0.758483 | + | 0.651693i | \(0.225941\pi\) | |||||||
\(972\) | −6.43170 | − | 1.72337i | −0.206297 | − | 0.0552771i | ||||
\(973\) | 0.422795 | + | 1.57789i | 0.0135542 | + | 0.0505849i | ||||
\(974\) | −8.80983 | − | 1.55341i | −0.282285 | − | 0.0497745i | ||||
\(975\) | 6.44607 | − | 15.9818i | 0.206439 | − | 0.511828i | ||||
\(976\) | 1.46449 | − | 5.46556i | 0.0468773 | − | 0.174948i | ||||
\(977\) | 14.1432 | + | 11.8676i | 0.452482 | + | 0.379678i | 0.840356 | − | 0.542035i | \(-0.182346\pi\) |
−0.387874 | + | 0.921712i | \(0.626790\pi\) | |||||||
\(978\) | −1.66832 | − | 19.0690i | −0.0533471 | − | 0.609760i | ||||
\(979\) | 4.76871 | + | 2.22369i | 0.152409 | + | 0.0710693i | ||||
\(980\) | 13.1567 | − | 8.06779i | 0.420275 | − | 0.257716i | ||||
\(981\) | −87.1187 | − | 61.0012i | −2.78149 | − | 1.94762i | ||||
\(982\) | 1.46543 | − | 0.533374i | 0.0467639 | − | 0.0170207i | ||||
\(983\) | 52.4973 | − | 4.59292i | 1.67440 | − | 0.146491i | 0.789967 | − | 0.613150i | \(-0.210098\pi\) |
0.884438 | + | 0.466658i | \(0.154542\pi\) | |||||||
\(984\) | 2.36245 | + | 27.0029i | 0.0753120 | + | 0.860820i | ||||
\(985\) | −35.8314 | + | 4.09322i | −1.14168 | + | 0.130421i | ||||
\(986\) | 6.00867 | + | 12.8856i | 0.191355 | + | 0.410362i | ||||
\(987\) | −3.11232 | + | 2.17927i | −0.0990662 | + | 0.0693669i | ||||
\(988\) | −6.93753 | + | 1.85890i | −0.220712 | + | 0.0591396i | ||||
\(989\) | −0.0660399 | − | 0.114384i | −0.00209995 | − | 0.00363721i | ||||
\(990\) | 3.63520 | − | 3.21807i | 0.115534 | − | 0.102277i | ||||
\(991\) | −27.3306 | + | 7.32322i | −0.868186 | + | 0.232630i | −0.665303 | − | 0.746573i | \(-0.731698\pi\) |
−0.202883 | + | 0.979203i | \(0.565031\pi\) | |||||||
\(992\) | −2.30064 | − | 0.201280i | −0.0730455 | − | 0.00639065i | ||||
\(993\) | 70.0945i | 2.22438i | ||||||||
\(994\) | 0.000797777 | − | 0.00911863i | 2.53039e−5 | − | 0.000289225i | ||||
\(995\) | −11.6831 | + | 12.3187i | −0.370378 | + | 0.390529i | ||||
\(996\) | −8.36280 | − | 47.4278i | −0.264985 | − | 1.50281i | ||||
\(997\) | −35.4257 | − | 6.24650i | −1.12194 | − | 0.197829i | −0.418249 | − | 0.908333i | \(-0.637356\pi\) |
−0.703693 | + | 0.710504i | \(0.748467\pi\) | |||||||
\(998\) | 8.93431 | − | 8.93431i | 0.282811 | − | 0.282811i | ||||
\(999\) | 45.2772 | − | 9.46187i | 1.43251 | − | 0.299360i |
(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 | 370.2.ba.a.283.9 | yes | 108 | |
5.2 | odd | 4 | 370.2.bd.a.357.9 | yes | 108 | ||
37.17 | odd | 36 | 370.2.bd.a.313.9 | yes | 108 | ||
185.17 | even | 36 | inner | 370.2.ba.a.17.9 | ✓ | 108 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
370.2.ba.a.17.9 | ✓ | 108 | 185.17 | even | 36 | inner | |
370.2.ba.a.283.9 | yes | 108 | 1.1 | even | 1 | trivial | |
370.2.bd.a.313.9 | yes | 108 | 37.17 | odd | 36 | ||
370.2.bd.a.357.9 | yes | 108 | 5.2 | odd | 4 |