Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [588,2,Mod(55,588)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(588, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([7, 0, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("588.55");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 588 = 2^{2} \cdot 3 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 588.x (of order \(14\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.69520363885\) |
Analytic rank: | \(0\) |
Dimension: | \(168\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{14})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{14}]$ |
Embedding invariants
Embedding label | 55.4 | ||
Character | \(\chi\) | \(=\) | 588.55 |
Dual form | 588.2.x.a.139.4 |
$q$-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 \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(295\) | \(493\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{9}{14}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.27947 | + | 0.602464i | −0.904720 | + | 0.426006i | ||||
\(3\) | −0.900969 | − | 0.433884i | −0.520175 | − | 0.250503i | ||||
\(4\) | 1.27407 | − | 1.54167i | 0.637037 | − | 0.770833i | ||||
\(5\) | 0.0432081 | − | 0.0897226i | 0.0193233 | − | 0.0401251i | −0.891084 | − | 0.453839i | \(-0.850054\pi\) |
0.910407 | + | 0.413714i | \(0.135769\pi\) | |||||||
\(6\) | 1.41416 | + | 0.0123389i | 0.577328 | + | 0.00503734i | ||||
\(7\) | 0.103018 | + | 2.64374i | 0.0389373 | + | 0.999242i | ||||
\(8\) | −0.701339 | + | 2.74010i | −0.247961 | + | 0.968770i | ||||
\(9\) | 0.623490 | + | 0.781831i | 0.207830 | + | 0.260610i | ||||
\(10\) | −0.00122877 | + | 0.140828i | −0.000388570 | + | 0.0445339i | ||||
\(11\) | −2.51790 | − | 2.00796i | −0.759176 | − | 0.605423i | 0.165486 | − | 0.986212i | \(-0.447081\pi\) |
−0.924662 | + | 0.380789i | \(0.875652\pi\) | |||||||
\(12\) | −1.81681 | + | 0.836193i | −0.524466 | + | 0.241388i | ||||
\(13\) | 0.338941 | + | 0.270296i | 0.0940052 | + | 0.0749667i | 0.669365 | − | 0.742934i | \(-0.266566\pi\) |
−0.575359 | + | 0.817901i | \(0.695138\pi\) | |||||||
\(14\) | −1.72457 | − | 3.32052i | −0.460911 | − | 0.887447i | ||||
\(15\) | −0.0778583 | + | 0.0620899i | −0.0201029 | + | 0.0160316i | ||||
\(16\) | −0.753469 | − | 3.92839i | −0.188367 | − | 0.982099i | ||||
\(17\) | 1.76286 | + | 0.402362i | 0.427557 | + | 0.0975871i | 0.430884 | − | 0.902407i | \(-0.358202\pi\) |
−0.00332696 | + | 0.999994i | \(0.501059\pi\) | |||||||
\(18\) | −1.26876 | − | 0.624698i | −0.299050 | − | 0.147243i | ||||
\(19\) | 0.291299 | 0.0668286 | 0.0334143 | − | 0.999442i | \(-0.489362\pi\) | ||||
0.0334143 | + | 0.999442i | \(0.489362\pi\) | |||||||
\(20\) | −0.0832719 | − | 0.180926i | −0.0186202 | − | 0.0404562i | ||||
\(21\) | 1.05426 | − | 2.42663i | 0.230059 | − | 0.529534i | ||||
\(22\) | 4.43130 | + | 1.05217i | 0.944756 | + | 0.224324i | ||||
\(23\) | −8.74008 | + | 1.99487i | −1.82243 | + | 0.415958i | −0.990338 | − | 0.138676i | \(-0.955715\pi\) |
−0.832094 | + | 0.554634i | \(0.812858\pi\) | |||||||
\(24\) | 1.82077 | − | 2.16444i | 0.371663 | − | 0.441815i | ||||
\(25\) | 3.11127 | + | 3.90140i | 0.622253 | + | 0.780281i | ||||
\(26\) | −0.596507 | − | 0.141636i | −0.116985 | − | 0.0277770i | ||||
\(27\) | −0.222521 | − | 0.974928i | −0.0428242 | − | 0.187625i | ||||
\(28\) | 4.20703 | + | 3.20951i | 0.795053 | + | 0.606540i | ||||
\(29\) | 0.201203 | − | 0.881528i | 0.0373624 | − | 0.163696i | −0.952805 | − | 0.303583i | \(-0.901817\pi\) |
0.990167 | + | 0.139888i | \(0.0446741\pi\) | |||||||
\(30\) | 0.0622102 | − | 0.126349i | 0.0113580 | − | 0.0230680i | ||||
\(31\) | −2.49658 | −0.448399 | −0.224200 | − | 0.974543i | \(-0.571977\pi\) | ||||
−0.224200 | + | 0.974543i | \(0.571977\pi\) | |||||||
\(32\) | 3.33075 | + | 4.57232i | 0.588800 | + | 0.808279i | ||||
\(33\) | 1.39733 | + | 2.90159i | 0.243244 | + | 0.505101i | ||||
\(34\) | −2.49793 | + | 0.547252i | −0.428392 | + | 0.0938529i | ||||
\(35\) | 0.241655 | + | 0.104988i | 0.0408471 | + | 0.0177462i | ||||
\(36\) | 1.99970 | + | 0.0348984i | 0.333283 | + | 0.00581640i | ||||
\(37\) | −0.872620 | + | 3.82320i | −0.143458 | + | 0.628530i | 0.851159 | + | 0.524908i | \(0.175900\pi\) |
−0.994617 | + | 0.103622i | \(0.966957\pi\) | |||||||
\(38\) | −0.372708 | + | 0.175497i | −0.0604612 | + | 0.0284694i | ||||
\(39\) | −0.188098 | − | 0.390589i | −0.0301198 | − | 0.0625443i | ||||
\(40\) | 0.215545 | + | 0.181320i | 0.0340806 | + | 0.0286692i | ||||
\(41\) | −4.00391 | + | 8.31420i | −0.625305 | + | 1.29846i | 0.312043 | + | 0.950068i | \(0.398987\pi\) |
−0.937349 | + | 0.348392i | \(0.886728\pi\) | |||||||
\(42\) | 0.113064 | + | 3.73995i | 0.0174461 | + | 0.577087i | ||||
\(43\) | 4.80724 | + | 9.98234i | 0.733097 | + | 1.52229i | 0.848629 | + | 0.528989i | \(0.177429\pi\) |
−0.115532 | + | 0.993304i | \(0.536857\pi\) | |||||||
\(44\) | −6.30360 | + | 1.32347i | −0.950303 | + | 0.199521i | ||||
\(45\) | 0.0970877 | − | 0.0221596i | 0.0144730 | − | 0.00330336i | ||||
\(46\) | 9.98081 | − | 7.81795i | 1.47159 | − | 1.15269i | ||||
\(47\) | −3.95275 | + | 4.95659i | −0.576568 | + | 0.722993i | −0.981523 | − | 0.191343i | \(-0.938716\pi\) |
0.404955 | + | 0.914336i | \(0.367287\pi\) | |||||||
\(48\) | −1.02561 | + | 3.86628i | −0.148035 | + | 0.558049i | ||||
\(49\) | −6.97877 | + | 0.544709i | −0.996968 | + | 0.0778155i | ||||
\(50\) | −6.33122 | − | 3.11729i | −0.895370 | − | 0.440852i | ||||
\(51\) | −1.41371 | − | 1.12739i | −0.197958 | − | 0.157867i | ||||
\(52\) | 0.848542 | − | 0.178156i | 0.117672 | − | 0.0247058i | ||||
\(53\) | −1.58701 | − | 6.95314i | −0.217993 | − | 0.955088i | −0.958959 | − | 0.283546i | \(-0.908489\pi\) |
0.740966 | − | 0.671542i | \(-0.234368\pi\) | |||||||
\(54\) | 0.872067 | + | 1.11333i | 0.118673 | + | 0.151505i | ||||
\(55\) | −0.288953 | + | 0.139152i | −0.0389624 | + | 0.0187633i | ||||
\(56\) | −7.31636 | − | 1.57188i | −0.977690 | − | 0.210051i | ||||
\(57\) | −0.262452 | − | 0.126390i | −0.0347626 | − | 0.0167408i | ||||
\(58\) | 0.273656 | + | 1.24910i | 0.0359328 | + | 0.164015i | ||||
\(59\) | −10.7197 | + | 5.16235i | −1.39559 | + | 0.672081i | −0.972262 | − | 0.233895i | \(-0.924853\pi\) |
−0.423329 | + | 0.905976i | \(0.639138\pi\) | |||||||
\(60\) | −0.00347534 | + | 0.199139i | −0.000448665 | + | 0.0257087i | ||||
\(61\) | −0.494137 | − | 0.112783i | −0.0632677 | − | 0.0144404i | 0.190770 | − | 0.981635i | \(-0.438902\pi\) |
−0.254038 | + | 0.967194i | \(0.581759\pi\) | |||||||
\(62\) | 3.19430 | − | 1.50410i | 0.405676 | − | 0.191021i | ||||
\(63\) | −2.00273 | + | 1.72889i | −0.252321 | + | 0.217820i | ||||
\(64\) | −7.01625 | − | 3.84347i | −0.877031 | − | 0.480434i | ||||
\(65\) | 0.0388966 | − | 0.0187316i | 0.00482453 | − | 0.00232337i | ||||
\(66\) | −3.53594 | − | 2.87064i | −0.435244 | − | 0.353352i | ||||
\(67\) | − | 7.57742i | − | 0.925729i | −0.886429 | − | 0.462864i | \(-0.846822\pi\) | ||
0.886429 | − | 0.462864i | \(-0.153178\pi\) | |||||||
\(68\) | 2.86633 | − | 2.20511i | 0.347593 | − | 0.267408i | ||||
\(69\) | 8.74008 | + | 1.99487i | 1.05218 | + | 0.240154i | ||||
\(70\) | −0.372441 | + | 0.0112594i | −0.0445152 | + | 0.00134575i | ||||
\(71\) | 1.74261 | − | 0.397740i | 0.206810 | − | 0.0472031i | −0.117861 | − | 0.993030i | \(-0.537604\pi\) |
0.324671 | + | 0.945827i | \(0.394746\pi\) | |||||||
\(72\) | −2.57957 | + | 1.16009i | −0.304005 | + | 0.136718i | ||||
\(73\) | −11.1695 | + | 8.90740i | −1.30729 | + | 1.04253i | −0.311564 | + | 0.950225i | \(0.600853\pi\) |
−0.995731 | + | 0.0923076i | \(0.970576\pi\) | |||||||
\(74\) | −1.18685 | − | 5.41738i | −0.137969 | − | 0.629758i | ||||
\(75\) | −1.11040 | − | 4.86497i | −0.128218 | − | 0.561758i | ||||
\(76\) | 0.371137 | − | 0.449086i | 0.0425723 | − | 0.0515137i | ||||
\(77\) | 5.04914 | − | 6.86355i | 0.575403 | − | 0.782174i | ||||
\(78\) | 0.475981 | + | 0.386424i | 0.0538942 | + | 0.0437539i | ||||
\(79\) | − | 4.06437i | − | 0.457278i | −0.973511 | − | 0.228639i | \(-0.926573\pi\) | ||
0.973511 | − | 0.228639i | \(-0.0734275\pi\) | |||||||
\(80\) | −0.385022 | − | 0.102135i | −0.0430467 | − | 0.0114191i | ||||
\(81\) | −0.222521 | + | 0.974928i | −0.0247245 | + | 0.108325i | ||||
\(82\) | 0.113864 | − | 13.0500i | 0.0125742 | − | 1.44113i | ||||
\(83\) | 9.81797 | + | 12.3113i | 1.07766 | + | 1.35135i | 0.932184 | + | 0.361984i | \(0.117900\pi\) |
0.145477 | + | 0.989362i | \(0.453528\pi\) | |||||||
\(84\) | −2.39785 | − | 4.71703i | −0.261626 | − | 0.514670i | ||||
\(85\) | 0.112271 | − | 0.140783i | 0.0121775 | − | 0.0152701i | ||||
\(86\) | −12.1647 | − | 9.87589i | −1.31175 | − | 1.06494i | ||||
\(87\) | −0.563758 | + | 0.706930i | −0.0604412 | + | 0.0757909i | ||||
\(88\) | 7.26791 | − | 5.49103i | 0.774761 | − | 0.585346i | ||||
\(89\) | 3.04839 | − | 2.43101i | 0.323129 | − | 0.257687i | −0.448467 | − | 0.893799i | \(-0.648030\pi\) |
0.771596 | + | 0.636112i | \(0.219459\pi\) | |||||||
\(90\) | −0.110870 | + | 0.0868444i | −0.0116867 | + | 0.00915420i | ||||
\(91\) | −0.679677 | + | 0.923918i | −0.0712495 | + | 0.0968529i | ||||
\(92\) | −8.06009 | + | 16.0159i | −0.840323 | + | 1.66977i | ||||
\(93\) | 2.24934 | + | 1.08323i | 0.233246 | + | 0.112325i | ||||
\(94\) | 2.07125 | − | 8.72319i | 0.213633 | − | 0.899728i | ||||
\(95\) | 0.0125865 | − | 0.0261361i | 0.00129135 | − | 0.00268151i | ||||
\(96\) | −1.01705 | − | 5.56467i | −0.103803 | − | 0.567942i | ||||
\(97\) | 4.63664i | 0.470780i | 0.971901 | + | 0.235390i | \(0.0756367\pi\) | ||||
−0.971901 | + | 0.235390i | \(0.924363\pi\) | |||||||
\(98\) | 8.60095 | − | 4.90140i | 0.868827 | − | 0.495116i | ||||
\(99\) | − | 3.22052i | − | 0.323674i | ||||||
\(100\) | 9.97865 | + | 0.174146i | 0.997865 | + | 0.0174146i | ||||
\(101\) | −4.79379 | + | 9.95441i | −0.477000 | + | 0.990501i | 0.514143 | + | 0.857704i | \(0.328110\pi\) |
−0.991143 | + | 0.132796i | \(0.957604\pi\) | |||||||
\(102\) | 2.48800 | + | 0.590756i | 0.246349 | + | 0.0584935i | ||||
\(103\) | 2.70373 | + | 1.30205i | 0.266407 | + | 0.128295i | 0.562319 | − | 0.826920i | \(-0.309909\pi\) |
−0.295912 | + | 0.955215i | \(0.595624\pi\) | |||||||
\(104\) | −0.978349 | + | 0.739161i | −0.0959351 | + | 0.0724807i | ||||
\(105\) | −0.172171 | − | 0.199441i | −0.0168021 | − | 0.0194635i | ||||
\(106\) | 6.21955 | + | 7.94021i | 0.604096 | + | 0.771221i | ||||
\(107\) | 2.92841 | − | 2.33533i | 0.283100 | − | 0.225765i | −0.471636 | − | 0.881793i | \(-0.656336\pi\) |
0.754736 | + | 0.656029i | \(0.227765\pi\) | |||||||
\(108\) | −1.78652 | − | 0.899078i | −0.171908 | − | 0.0865138i | ||||
\(109\) | 4.13307 | − | 5.18270i | 0.395876 | − | 0.496413i | −0.543449 | − | 0.839442i | \(-0.682882\pi\) |
0.939325 | + | 0.343030i | \(0.111453\pi\) | |||||||
\(110\) | 0.285872 | − | 0.352125i | 0.0272568 | − | 0.0335738i | ||||
\(111\) | 2.44503 | − | 3.06597i | 0.232072 | − | 0.291009i | ||||
\(112\) | 10.3081 | − | 2.39668i | 0.974019 | − | 0.226465i | ||||
\(113\) | 2.17341 | + | 2.72537i | 0.204457 | + | 0.256381i | 0.873479 | − | 0.486862i | \(-0.161858\pi\) |
−0.669022 | + | 0.743242i | \(0.733287\pi\) | |||||||
\(114\) | 0.411944 | + | 0.00359432i | 0.0385821 | + | 0.000336639i | ||||
\(115\) | −0.198658 | + | 0.870377i | −0.0185249 | + | 0.0811630i | ||||
\(116\) | −1.10267 | − | 1.43332i | −0.102381 | − | 0.133080i | ||||
\(117\) | 0.433521i | 0.0400791i | ||||||||
\(118\) | 10.6054 | − | 13.0633i | 0.976308 | − | 1.20258i | ||||
\(119\) | −0.882135 | + | 4.70201i | −0.0808652 | + | 0.431032i | ||||
\(120\) | −0.115527 | − | 0.256885i | −0.0105462 | − | 0.0234503i | ||||
\(121\) | −0.139802 | − | 0.612512i | −0.0127093 | − | 0.0556829i | ||||
\(122\) | 0.700180 | − | 0.153397i | 0.0633913 | − | 0.0138879i | ||||
\(123\) | 7.21479 | − | 5.75361i | 0.650536 | − | 0.518785i | ||||
\(124\) | −3.18083 | + | 3.84890i | −0.285647 | + | 0.345641i | ||||
\(125\) | 0.969915 | − | 0.221377i | 0.0867518 | − | 0.0198005i | ||||
\(126\) | 1.52084 | − | 3.41863i | 0.135487 | − | 0.304556i | ||||
\(127\) | 0.415526 | + | 0.0948410i | 0.0368719 | + | 0.00841578i | 0.240917 | − | 0.970546i | \(-0.422552\pi\) |
−0.204045 | + | 0.978961i | \(0.565409\pi\) | |||||||
\(128\) | 11.2926 | + | 0.690559i | 0.998135 | + | 0.0610374i | ||||
\(129\) | − | 11.0796i | − | 0.975501i | ||||||
\(130\) | −0.0384819 | + | 0.0474003i | −0.00337508 | + | 0.00415729i | ||||
\(131\) | 3.08635 | − | 1.48631i | 0.269656 | − | 0.129859i | −0.294170 | − | 0.955753i | \(-0.595043\pi\) |
0.563826 | + | 0.825894i | \(0.309329\pi\) | |||||||
\(132\) | 6.25358 | + | 1.54262i | 0.544304 | + | 0.134268i | ||||
\(133\) | 0.0300092 | + | 0.770121i | 0.00260213 | + | 0.0667779i | ||||
\(134\) | 4.56512 | + | 9.69506i | 0.394366 | + | 0.837525i | ||||
\(135\) | −0.0970877 | − | 0.0221596i | −0.00835598 | − | 0.00190720i | ||||
\(136\) | −2.33887 | + | 4.54822i | −0.200557 | + | 0.390007i | ||||
\(137\) | 13.2872 | − | 6.39879i | 1.13520 | − | 0.546686i | 0.230647 | − | 0.973037i | \(-0.425916\pi\) |
0.904557 | + | 0.426352i | \(0.140201\pi\) | |||||||
\(138\) | −12.3845 | + | 2.71322i | −1.05424 | + | 0.230964i | ||||
\(139\) | 13.6333 | + | 6.56547i | 1.15637 | + | 0.556876i | 0.910940 | − | 0.412539i | \(-0.135358\pi\) |
0.245425 | + | 0.969415i | \(0.421072\pi\) | |||||||
\(140\) | 0.469743 | − | 0.238788i | 0.0397005 | − | 0.0201813i | ||||
\(141\) | 5.71189 | − | 2.75070i | 0.481028 | − | 0.231651i | ||||
\(142\) | −1.98999 | + | 1.55876i | −0.166997 | + | 0.130808i | ||||
\(143\) | −0.310676 | − | 1.36116i | −0.0259800 | − | 0.113826i | ||||
\(144\) | 2.60156 | − | 3.03840i | 0.216797 | − | 0.253200i | ||||
\(145\) | −0.0703993 | − | 0.0561416i | −0.00584635 | − | 0.00466231i | ||||
\(146\) | 8.92466 | − | 18.1260i | 0.738610 | − | 1.50012i | ||||
\(147\) | 6.52400 | + | 2.53721i | 0.538090 | + | 0.209266i | ||||
\(148\) | 4.78231 | + | 6.21633i | 0.393104 | + | 0.510979i | ||||
\(149\) | 5.80456 | − | 7.27869i | 0.475528 | − | 0.596293i | −0.484987 | − | 0.874521i | \(-0.661176\pi\) |
0.960515 | + | 0.278228i | \(0.0897471\pi\) | |||||||
\(150\) | 4.35169 | + | 5.55560i | 0.355314 | + | 0.453613i | ||||
\(151\) | −12.9126 | + | 2.94721i | −1.05081 | + | 0.239840i | −0.712847 | − | 0.701319i | \(-0.752595\pi\) |
−0.337962 | + | 0.941160i | \(0.609738\pi\) | |||||||
\(152\) | −0.204299 | + | 0.798188i | −0.0165709 | + | 0.0647416i | ||||
\(153\) | 0.784547 | + | 1.62913i | 0.0634269 | + | 0.131707i | ||||
\(154\) | −2.32518 | + | 11.8236i | −0.187368 | + | 0.952774i | ||||
\(155\) | −0.107873 | + | 0.224000i | −0.00866453 | + | 0.0179921i | ||||
\(156\) | −0.841809 | − | 0.207656i | −0.0673986 | − | 0.0166258i | ||||
\(157\) | −9.20136 | − | 19.1068i | −0.734348 | − | 1.52489i | −0.847198 | − | 0.531278i | \(-0.821712\pi\) |
0.112849 | − | 0.993612i | \(-0.464002\pi\) | |||||||
\(158\) | 2.44864 | + | 5.20023i | 0.194803 | + | 0.413708i | ||||
\(159\) | −1.58701 | + | 6.95314i | −0.125858 | + | 0.551420i | ||||
\(160\) | 0.554155 | − | 0.101283i | 0.0438098 | − | 0.00800710i | ||||
\(161\) | −6.17431 | − | 22.9010i | −0.486603 | − | 1.80485i | ||||
\(162\) | −0.302651 | − | 1.38145i | −0.0237785 | − | 0.108537i | ||||
\(163\) | −5.23935 | − | 10.8796i | −0.410378 | − | 0.852158i | −0.999041 | − | 0.0437797i | \(-0.986060\pi\) |
0.588664 | − | 0.808378i | \(-0.299654\pi\) | |||||||
\(164\) | 7.71644 | + | 16.7656i | 0.602553 | + | 1.30917i | ||||
\(165\) | 0.320714 | 0.0249675 | ||||||||
\(166\) | −19.9789 | − | 9.83699i | −1.55066 | − | 0.763498i | ||||
\(167\) | 2.22077 | − | 9.72981i | 0.171848 | − | 0.752915i | −0.813389 | − | 0.581720i | \(-0.802380\pi\) |
0.985237 | − | 0.171195i | \(-0.0547629\pi\) | |||||||
\(168\) | 5.90980 | + | 4.59067i | 0.455951 | + | 0.354178i | ||||
\(169\) | −2.85095 | − | 12.4908i | −0.219304 | − | 0.960833i | ||||
\(170\) | −0.0588301 | + | 0.247767i | −0.00451206 | + | 0.0190028i | ||||
\(171\) | 0.181622 | + | 0.227747i | 0.0138890 | + | 0.0174162i | ||||
\(172\) | 21.5142 | + | 5.30708i | 1.64044 | + | 0.404661i | ||||
\(173\) | 12.3035 | − | 2.80818i | 0.935415 | − | 0.213502i | 0.272465 | − | 0.962166i | \(-0.412161\pi\) |
0.662950 | + | 0.748663i | \(0.269304\pi\) | |||||||
\(174\) | 0.295410 | − | 1.24414i | 0.0223950 | − | 0.0943179i | ||||
\(175\) | −9.99380 | + | 8.62731i | −0.755460 | + | 0.652163i | ||||
\(176\) | −5.99090 | + | 11.4042i | −0.451581 | + | 0.859628i | ||||
\(177\) | 11.8980 | 0.894309 | ||||||||
\(178\) | −2.43572 | + | 4.94695i | −0.182565 | + | 0.370789i | ||||
\(179\) | −1.27626 | − | 0.291299i | −0.0953923 | − | 0.0217727i | 0.174558 | − | 0.984647i | \(-0.444150\pi\) |
−0.269951 | + | 0.962874i | \(0.587007\pi\) | |||||||
\(180\) | 0.0895342 | − | 0.177910i | 0.00667349 | − | 0.0132606i | ||||
\(181\) | −18.1571 | + | 14.4798i | −1.34961 | + | 1.07628i | −0.359926 | + | 0.932981i | \(0.617198\pi\) |
−0.989680 | + | 0.143294i | \(0.954230\pi\) | |||||||
\(182\) | 0.312997 | − | 1.59160i | 0.0232009 | − | 0.117978i | ||||
\(183\) | 0.396267 | + | 0.316012i | 0.0292929 | + | 0.0233603i | ||||
\(184\) | 0.663632 | − | 25.3477i | 0.0489236 | − | 1.86866i | ||||
\(185\) | 0.305323 | + | 0.243487i | 0.0224478 | + | 0.0179015i | ||||
\(186\) | −3.53057 | − | 0.0308051i | −0.258874 | − | 0.00225874i | ||||
\(187\) | −3.63079 | − | 4.55286i | −0.265510 | − | 0.332938i | ||||
\(188\) | 2.60531 | + | 12.4089i | 0.190012 | + | 0.905011i | ||||
\(189\) | 2.55454 | − | 0.688724i | 0.185815 | − | 0.0500973i | ||||
\(190\) | −0.000357938 | 0.0410232i | −2.59676e−5 | 0.00297614i | ||||||
\(191\) | 5.12907 | − | 10.6506i | 0.371126 | − | 0.770652i | −0.628850 | − | 0.777527i | \(-0.716474\pi\) |
0.999976 | + | 0.00687470i | \(0.00218830\pi\) | |||||||
\(192\) | 4.65380 | + | 6.50708i | 0.335859 | + | 0.469608i | ||||
\(193\) | 4.61141 | + | 2.22074i | 0.331937 | + | 0.159852i | 0.592427 | − | 0.805624i | \(-0.298170\pi\) |
−0.260490 | + | 0.965477i | \(0.583884\pi\) | |||||||
\(194\) | −2.79341 | − | 5.93244i | −0.200555 | − | 0.425924i | ||||
\(195\) | −0.0431720 | −0.00309161 | ||||||||
\(196\) | −8.05172 | + | 11.4529i | −0.575123 | + | 0.818067i | ||||
\(197\) | −20.4863 | −1.45959 | −0.729795 | − | 0.683666i | \(-0.760384\pi\) | ||||
−0.729795 | + | 0.683666i | \(0.760384\pi\) | |||||||
\(198\) | 1.94025 | + | 4.12055i | 0.137887 | + | 0.292835i | ||||
\(199\) | 16.8766 | + | 8.12736i | 1.19635 | + | 0.576133i | 0.922634 | − | 0.385677i | \(-0.126032\pi\) |
0.273719 | + | 0.961810i | \(0.411746\pi\) | |||||||
\(200\) | −12.8723 | + | 5.78896i | −0.910207 | + | 0.409341i | ||||
\(201\) | −3.28772 | + | 6.82702i | −0.231898 | + | 0.481541i | ||||
\(202\) | 0.136327 | − | 15.6244i | 0.00959196 | − | 1.09933i | ||||
\(203\) | 2.35126 | + | 0.441116i | 0.165026 | + | 0.0309603i | ||||
\(204\) | −3.53923 | + | 0.743080i | −0.247796 | + | 0.0520260i | ||||
\(205\) | 0.572970 | + | 0.718482i | 0.0400180 | + | 0.0501809i | ||||
\(206\) | −4.24378 | − | 0.0370281i | −0.295678 | − | 0.00257987i | ||||
\(207\) | −7.00900 | − | 5.58949i | −0.487159 | − | 0.388496i | ||||
\(208\) | 0.806449 | − | 1.53515i | 0.0559172 | − | 0.106444i | ||||
\(209\) | −0.733463 | − | 0.584917i | −0.0507347 | − | 0.0404596i | ||||
\(210\) | 0.340443 | + | 0.151452i | 0.0234928 | + | 0.0104512i | ||||
\(211\) | 8.71002 | − | 6.94601i | 0.599623 | − | 0.478183i | −0.276014 | − | 0.961154i | \(-0.589014\pi\) |
0.875637 | + | 0.482971i | \(0.160442\pi\) | |||||||
\(212\) | −12.7414 | − | 6.41218i | −0.875083 | − | 0.440391i | ||||
\(213\) | −1.74261 | − | 0.397740i | −0.119402 | − | 0.0272527i | ||||
\(214\) | −2.33985 | + | 4.75223i | −0.159949 | + | 0.324856i | ||||
\(215\) | 1.10335 | 0.0752480 | ||||||||
\(216\) | 2.82746 | + | 0.0740260i | 0.192384 | + | 0.00503683i | ||||
\(217\) | −0.257194 | − | 6.60033i | −0.0174595 | − | 0.448059i | ||||
\(218\) | −2.16573 | + | 9.12112i | −0.146682 | + | 0.617760i | ||||
\(219\) | 13.9282 | − | 3.17902i | 0.941179 | − | 0.214818i | ||||
\(220\) | −0.153621 | + | 0.622760i | −0.0103571 | + | 0.0419865i | ||||
\(221\) | 0.488749 | + | 0.612872i | 0.0328768 | + | 0.0412262i | ||||
\(222\) | −1.28120 | + | 5.39585i | −0.0859884 | + | 0.362145i | ||||
\(223\) | 3.75803 | + | 16.4650i | 0.251656 | + | 1.10258i | 0.929921 | + | 0.367760i | \(0.119875\pi\) |
−0.678264 | + | 0.734818i | \(0.737268\pi\) | |||||||
\(224\) | −11.7449 | + | 9.27670i | −0.784740 | + | 0.619826i | ||||
\(225\) | −1.11040 | + | 4.86497i | −0.0740265 | + | 0.324331i | ||||
\(226\) | −4.42274 | − | 2.17762i | −0.294196 | − | 0.144853i | ||||
\(227\) | 12.9783 | 0.861398 | 0.430699 | − | 0.902496i | \(-0.358267\pi\) | ||||
0.430699 | + | 0.902496i | \(0.358267\pi\) | |||||||
\(228\) | −0.529234 | + | 0.243582i | −0.0350494 | + | 0.0161316i | ||||
\(229\) | −3.93075 | − | 8.16229i | −0.259751 | − | 0.539379i | 0.729783 | − | 0.683679i | \(-0.239621\pi\) |
−0.989534 | + | 0.144300i | \(0.953907\pi\) | |||||||
\(230\) | −0.270194 | − | 1.23330i | −0.0178161 | − | 0.0813216i | ||||
\(231\) | −7.52710 | + | 3.99310i | −0.495247 | + | 0.262727i | ||||
\(232\) | 2.27436 | + | 1.16956i | 0.149319 | + | 0.0767857i | ||||
\(233\) | −4.46702 | + | 19.5713i | −0.292644 | + | 1.28216i | 0.588186 | + | 0.808725i | \(0.299842\pi\) |
−0.880830 | + | 0.473432i | \(0.843015\pi\) | |||||||
\(234\) | −0.261181 | − | 0.554676i | −0.0170739 | − | 0.0362603i | ||||
\(235\) | 0.273927 | + | 0.568816i | 0.0178690 | + | 0.0371054i | ||||
\(236\) | −5.69912 | + | 23.1035i | −0.370981 | + | 1.50391i | ||||
\(237\) | −1.76346 | + | 3.66187i | −0.114549 | + | 0.237864i | ||||
\(238\) | −1.70413 | − | 6.54752i | −0.110462 | − | 0.424413i | ||||
\(239\) | −8.61501 | − | 17.8893i | −0.557259 | − | 1.15716i | −0.969274 | − | 0.245983i | \(-0.920889\pi\) |
0.412015 | − | 0.911177i | \(-0.364825\pi\) | |||||||
\(240\) | 0.302578 | + | 0.259075i | 0.0195313 | + | 0.0167232i | ||||
\(241\) | −25.6883 | + | 5.86318i | −1.65473 | + | 0.377680i | −0.945070 | − | 0.326868i | \(-0.894007\pi\) |
−0.709656 | + | 0.704548i | \(0.751150\pi\) | |||||||
\(242\) | 0.547888 | + | 0.699463i | 0.0352196 | + | 0.0449632i | ||||
\(243\) | 0.623490 | − | 0.781831i | 0.0399969 | − | 0.0501545i | ||||
\(244\) | −0.803441 | + | 0.618099i | −0.0514351 | + | 0.0395697i | ||||
\(245\) | −0.252667 | + | 0.649689i | −0.0161423 | + | 0.0415071i | ||||
\(246\) | −5.76475 | + | 11.7082i | −0.367547 | + | 0.746488i | ||||
\(247\) | 0.0987331 | + | 0.0787370i | 0.00628224 | + | 0.00500992i | ||||
\(248\) | 1.75095 | − | 6.84087i | 0.111185 | − | 0.434396i | ||||
\(249\) | −3.50399 | − | 15.3520i | −0.222056 | − | 0.972893i | ||||
\(250\) | −1.10760 | + | 0.867583i | −0.0700509 | + | 0.0548708i | ||||
\(251\) | 26.9847 | − | 12.9951i | 1.70326 | − | 0.820246i | 0.710016 | − | 0.704185i | \(-0.248688\pi\) |
0.993242 | − | 0.116061i | \(-0.0370268\pi\) | |||||||
\(252\) | 0.113743 | + | 5.29028i | 0.00716513 | + | 0.333256i | ||||
\(253\) | 26.0123 | + | 12.5269i | 1.63538 | + | 0.787556i | ||||
\(254\) | −0.588790 | + | 0.128993i | −0.0369440 | + | 0.00809375i | ||||
\(255\) | −0.162236 | + | 0.0781288i | −0.0101596 | + | 0.00489261i | ||||
\(256\) | −14.8646 | + | 5.91984i | −0.929036 | + | 0.369990i | ||||
\(257\) | 19.5395 | + | 4.45977i | 1.21884 | + | 0.278193i | 0.783110 | − | 0.621883i | \(-0.213632\pi\) |
0.435733 | + | 0.900076i | \(0.356489\pi\) | |||||||
\(258\) | 6.67503 | + | 14.1759i | 0.415570 | + | 0.882555i | ||||
\(259\) | −10.1975 | − | 1.91313i | −0.633639 | − | 0.118876i | ||||
\(260\) | 0.0206793 | − | 0.0838311i | 0.00128248 | − | 0.00519899i | ||||
\(261\) | 0.814654 | − | 0.392317i | 0.0504258 | − | 0.0242838i | ||||
\(262\) | −3.05344 | + | 3.76110i | −0.188642 | + | 0.232361i | ||||
\(263\) | − | 15.2041i | − | 0.937526i | −0.883324 | − | 0.468763i | \(-0.844700\pi\) | ||
0.883324 | − | 0.468763i | \(-0.155300\pi\) | |||||||
\(264\) | −8.93063 | + | 1.79382i | −0.549642 | + | 0.110402i | ||||
\(265\) | −0.692426 | − | 0.158042i | −0.0425354 | − | 0.00970842i | ||||
\(266\) | −0.502366 | − | 0.967265i | −0.0308020 | − | 0.0593068i | ||||
\(267\) | −3.80128 | + | 0.867618i | −0.232635 | + | 0.0530974i | ||||
\(268\) | −11.6818 | − | 9.65419i | −0.713582 | − | 0.589724i | ||||
\(269\) | −7.86310 | + | 6.27061i | −0.479421 | + | 0.382326i | −0.833172 | − | 0.553014i | \(-0.813478\pi\) |
0.353751 | + | 0.935340i | \(0.384906\pi\) | |||||||
\(270\) | 0.137571 | − | 0.0301393i | 0.00837230 | − | 0.00183422i | ||||
\(271\) | −2.19942 | − | 9.63628i | −0.133605 | − | 0.585363i | −0.996761 | − | 0.0804244i | \(-0.974372\pi\) |
0.863156 | − | 0.504938i | \(-0.168485\pi\) | |||||||
\(272\) | 0.252374 | − | 7.22839i | 0.0153024 | − | 0.438285i | ||||
\(273\) | 1.01324 | − | 0.537521i | 0.0613241 | − | 0.0325322i | ||||
\(274\) | −13.1455 | + | 16.1921i | −0.794151 | + | 0.978202i | ||||
\(275\) | − | 16.0707i | − | 0.969097i | ||||||
\(276\) | 14.2109 | − | 10.9327i | 0.855397 | − | 0.658070i | ||||
\(277\) | −1.83330 | + | 8.03219i | −0.110152 | + | 0.482608i | 0.889517 | + | 0.456901i | \(0.151041\pi\) |
−0.999670 | + | 0.0257065i | \(0.991816\pi\) | |||||||
\(278\) | −21.3989 | − | 0.186711i | −1.28342 | − | 0.0111982i | ||||
\(279\) | −1.55659 | − | 1.95191i | −0.0931908 | − | 0.116858i | ||||
\(280\) | −0.457159 | + | 0.588525i | −0.0273205 | + | 0.0351711i | ||||
\(281\) | −3.05972 | + | 3.83676i | −0.182527 | + | 0.228882i | −0.864674 | − | 0.502333i | \(-0.832475\pi\) |
0.682147 | + | 0.731215i | \(0.261047\pi\) | |||||||
\(282\) | −5.65098 | + | 6.96064i | −0.336511 | + | 0.414500i | ||||
\(283\) | −6.50037 | + | 8.15120i | −0.386407 | + | 0.484539i | −0.936551 | − | 0.350531i | \(-0.886001\pi\) |
0.550144 | + | 0.835069i | \(0.314573\pi\) | |||||||
\(284\) | 1.60704 | − | 3.19328i | 0.0953601 | − | 0.189486i | ||||
\(285\) | −0.0226801 | + | 0.0180867i | −0.00134345 | + | 0.00107137i | ||||
\(286\) | 1.21755 | + | 1.55439i | 0.0719951 | + | 0.0919129i | ||||
\(287\) | −22.3931 | − | 9.72880i | −1.32182 | − | 0.574273i | ||||
\(288\) | −1.49809 | + | 5.45488i | −0.0882757 | + | 0.321432i | ||||
\(289\) | −12.3707 | − | 5.95741i | −0.727687 | − | 0.350436i | ||||
\(290\) | 0.123897 | + | 0.0294183i | 0.00727548 | + | 0.00172750i | ||||
\(291\) | 2.01176 | − | 4.17747i | 0.117932 | − | 0.244888i | ||||
\(292\) | −0.498571 | + | 28.5684i | −0.0291767 | + | 1.67184i | ||||
\(293\) | − | 7.51453i | − | 0.439004i | −0.975612 | − | 0.219502i | \(-0.929557\pi\) | ||
0.975612 | − | 0.219502i | \(-0.0704432\pi\) | |||||||
\(294\) | −9.87582 | + | 0.684195i | −0.575970 | + | 0.0399030i | ||||
\(295\) | 1.18486i | 0.0689851i | ||||||||
\(296\) | −9.86393 | − | 5.07242i | −0.573329 | − | 0.294828i | ||||
\(297\) | −1.39733 | + | 2.90159i | −0.0810813 | + | 0.168367i | ||||
\(298\) | −3.04160 | + | 12.8099i | −0.176195 | + | 0.742056i | ||||
\(299\) | −3.50157 | − | 1.68627i | −0.202501 | − | 0.0975194i | ||||
\(300\) | −8.91489 | − | 4.48647i | −0.514701 | − | 0.259027i | ||||
\(301\) | −25.8955 | + | 13.7375i | −1.49259 | + | 0.791815i | ||||
\(302\) | 14.7456 | − | 11.5502i | 0.848515 | − | 0.664640i | ||||
\(303\) | 8.63811 | − | 6.88867i | 0.496247 | − | 0.395743i | ||||
\(304\) | −0.219485 | − | 1.14434i | −0.0125883 | − | 0.0656323i | ||||
\(305\) | −0.0314699 | + | 0.0394620i | −0.00180196 | + | 0.00225959i | ||||
\(306\) | −1.98529 | − | 1.61176i | −0.113492 | − | 0.0921380i | ||||
\(307\) | 4.49049 | − | 5.63090i | 0.256286 | − | 0.321372i | −0.636998 | − | 0.770866i | \(-0.719824\pi\) |
0.893284 | + | 0.449493i | \(0.148395\pi\) | |||||||
\(308\) | −4.14831 | − | 16.5288i | −0.236372 | − | 0.941814i | ||||
\(309\) | −1.87104 | − | 2.34621i | −0.106440 | − | 0.133471i | ||||
\(310\) | 0.00306771 | − | 0.351590i | 0.000174234 | − | 0.0199690i | ||||
\(311\) | −6.27818 | + | 27.5065i | −0.356003 | + | 1.55975i | 0.407044 | + | 0.913409i | \(0.366560\pi\) |
−0.763047 | + | 0.646343i | \(0.776298\pi\) | |||||||
\(312\) | 1.20217 | − | 0.241471i | 0.0680596 | − | 0.0136706i | ||||
\(313\) | − | 6.93212i | − | 0.391827i | −0.980621 | − | 0.195913i | \(-0.937233\pi\) | ||
0.980621 | − | 0.195913i | \(-0.0627671\pi\) | |||||||
\(314\) | 23.2840 | + | 18.9031i | 1.31399 | + | 1.06676i | ||||
\(315\) | 0.0685863 | + | 0.254392i | 0.00386440 | + | 0.0143334i | ||||
\(316\) | −6.26590 | − | 5.17831i | −0.352485 | − | 0.291303i | ||||
\(317\) | 3.96119 | + | 17.3551i | 0.222483 | + | 0.974760i | 0.955602 | + | 0.294660i | \(0.0952064\pi\) |
−0.733120 | + | 0.680100i | \(0.761936\pi\) | |||||||
\(318\) | −2.15849 | − | 9.85244i | −0.121042 | − | 0.552497i | ||||
\(319\) | −2.27668 | + | 1.81559i | −0.127470 | + | 0.101654i | ||||
\(320\) | −0.648005 | + | 0.463447i | −0.0362246 | + | 0.0259075i | ||||
\(321\) | −3.65166 | + | 0.833468i | −0.203816 | + | 0.0465197i | ||||
\(322\) | 21.6969 | + | 25.5813i | 1.20912 | + | 1.42559i | ||||
\(323\) | 0.513520 | + | 0.117208i | 0.0285730 | + | 0.00652161i | ||||
\(324\) | 1.21951 | + | 1.58518i | 0.0677503 | + | 0.0880658i | ||||
\(325\) | 2.16331i | 0.119999i | ||||||||
\(326\) | 13.2582 | + | 10.7636i | 0.734301 | + | 0.596141i | ||||
\(327\) | −5.97245 | + | 2.87618i | −0.330277 | + | 0.159053i | ||||
\(328\) | −19.9736 | − | 16.8022i | −1.10286 | − | 0.927744i | ||||
\(329\) | −13.5112 | − | 9.93944i | −0.744895 | − | 0.547979i | ||||
\(330\) | −0.410343 | + | 0.193218i | −0.0225886 | + | 0.0106363i | ||||
\(331\) | 8.13197 | + | 1.85607i | 0.446974 | + | 0.102019i | 0.440082 | − | 0.897957i | \(-0.354949\pi\) |
0.00689126 | + | 0.999976i | \(0.497806\pi\) | |||||||
\(332\) | 31.4888 | + | 0.549538i | 1.72817 | + | 0.0301598i | ||||
\(333\) | −3.53317 | + | 1.70148i | −0.193616 | + | 0.0932407i | ||||
\(334\) | 3.02046 | + | 13.7869i | 0.165272 | + | 0.754386i | ||||
\(335\) | −0.679865 | − | 0.327406i | −0.0371450 | − | 0.0178881i | ||||
\(336\) | −10.3271 | − | 2.31317i | −0.563390 | − | 0.126194i | ||||
\(337\) | 27.4735 | − | 13.2305i | 1.49657 | − | 0.720712i | 0.506629 | − | 0.862164i | \(-0.330891\pi\) |
0.989945 | + | 0.141452i | \(0.0451770\pi\) | |||||||
\(338\) | 11.1730 | + | 14.2640i | 0.607730 | + | 0.775860i | ||||
\(339\) | −0.775680 | − | 3.39847i | −0.0421291 | − | 0.184580i | ||||
\(340\) | −0.0739993 | − | 0.352452i | −0.00401317 | − | 0.0191144i | ||||
\(341\) | 6.28615 | + | 5.01304i | 0.340414 | + | 0.271471i | ||||
\(342\) | −0.369589 | − | 0.181974i | −0.0199851 | − | 0.00984003i | ||||
\(343\) | −2.15901 | − | 18.3940i | −0.116576 | − | 0.993182i | ||||
\(344\) | −30.7241 | + | 6.17130i | −1.65653 | + | 0.332734i | ||||
\(345\) | 0.556627 | − | 0.697988i | 0.0299678 | − | 0.0375784i | ||||
\(346\) | −14.0501 | + | 11.0054i | −0.755335 | + | 0.591653i | ||||
\(347\) | −6.82725 | + | 1.55827i | −0.366506 | + | 0.0836525i | −0.401807 | − | 0.915724i | \(-0.631618\pi\) |
0.0353018 | + | 0.999377i | \(0.488761\pi\) | |||||||
\(348\) | 0.371581 | + | 1.76981i | 0.0199188 | + | 0.0948717i | ||||
\(349\) | 4.60062 | + | 9.55328i | 0.246265 | + | 0.511375i | 0.987059 | − | 0.160357i | \(-0.0512647\pi\) |
−0.740794 | + | 0.671733i | \(0.765550\pi\) | |||||||
\(350\) | 7.58910 | − | 17.0593i | 0.405654 | − | 0.911856i | ||||
\(351\) | 0.188098 | − | 0.390589i | 0.0100399 | − | 0.0208481i | ||||
\(352\) | 0.794512 | − | 18.2007i | 0.0423477 | − | 0.970099i | ||||
\(353\) | 4.58771 | + | 9.52648i | 0.244179 | + | 0.507043i | 0.986654 | − | 0.162831i | \(-0.0520624\pi\) |
−0.742475 | + | 0.669874i | \(0.766348\pi\) | |||||||
\(354\) | −15.2231 | + | 7.16812i | −0.809099 | + | 0.380981i | ||||
\(355\) | 0.0396088 | − | 0.173537i | 0.00210222 | − | 0.00921041i | ||||
\(356\) | 0.136070 | − | 7.79690i | 0.00721171 | − | 0.413235i | ||||
\(357\) | 2.83490 | − | 3.85362i | 0.150039 | − | 0.203955i | ||||
\(358\) | 1.80843 | − | 0.396195i | 0.0955786 | − | 0.0209396i | ||||
\(359\) | 1.99649 | + | 4.14575i | 0.105371 | + | 0.218805i | 0.946987 | − | 0.321271i | \(-0.104110\pi\) |
−0.841617 | + | 0.540075i | \(0.818396\pi\) | |||||||
\(360\) | −0.00737185 | + | 0.281571i | −0.000388530 | + | 0.0148401i | ||||
\(361\) | −18.9151 | −0.995534 | ||||||||
\(362\) | 14.5079 | − | 29.4654i | 0.762516 | − | 1.54867i | ||||
\(363\) | −0.139802 | + | 0.612512i | −0.00733769 | + | 0.0321485i | ||||
\(364\) | 0.558414 | + | 2.22498i | 0.0292689 | + | 0.116620i | ||||
\(365\) | 0.316581 | + | 1.38703i | 0.0165706 | + | 0.0726005i | ||||
\(366\) | −0.697397 | − | 0.165591i | −0.0364535 | − | 0.00865558i | ||||
\(367\) | 5.06983 | + | 6.35737i | 0.264643 | + | 0.331852i | 0.896343 | − | 0.443361i | \(-0.146214\pi\) |
−0.631700 | + | 0.775213i | \(0.717643\pi\) | |||||||
\(368\) | 14.4220 | + | 32.8314i | 0.751799 | + | 1.71146i | ||||
\(369\) | −8.99670 | + | 2.05344i | −0.468349 | + | 0.106898i | ||||
\(370\) | −0.537343 | − | 0.127588i | −0.0279351 | − | 0.00663296i | ||||
\(371\) | 18.2188 | − | 4.91195i | 0.945876 | − | 0.255016i | ||||
\(372\) | 4.53580 | − | 2.08762i | 0.235170 | − | 0.108238i | ||||
\(373\) | 19.3603 | 1.00244 | 0.501219 | − | 0.865321i | \(-0.332885\pi\) | ||||
0.501219 | + | 0.865321i | \(0.332885\pi\) | |||||||
\(374\) | 7.38841 | + | 3.63782i | 0.382046 | + | 0.188107i | ||||
\(375\) | −0.969915 | − | 0.221377i | −0.0500862 | − | 0.0114318i | ||||
\(376\) | −10.8093 | − | 14.3072i | −0.557448 | − | 0.737835i | ||||
\(377\) | 0.306469 | − | 0.244401i | 0.0157840 | − | 0.0125873i | ||||
\(378\) | −2.85352 | + | 2.42022i | −0.146769 | + | 0.124483i | ||||
\(379\) | 21.8478 | + | 17.4231i | 1.12225 | + | 0.894963i | 0.995290 | − | 0.0969453i | \(-0.0309072\pi\) |
0.126958 | + | 0.991908i | \(0.459479\pi\) | |||||||
\(380\) | −0.0242570 | − | 0.0527035i | −0.00124436 | − | 0.00270363i | ||||
\(381\) | −0.333226 | − | 0.265739i | −0.0170717 | − | 0.0136142i | ||||
\(382\) | −0.145862 | + | 16.7172i | −0.00746295 | + | 0.855327i | ||||
\(383\) | −1.53609 | − | 1.92620i | −0.0784907 | − | 0.0984242i | 0.741036 | − | 0.671466i | \(-0.234335\pi\) |
−0.819526 | + | 0.573041i | \(0.805763\pi\) | |||||||
\(384\) | −9.87467 | − | 5.52185i | −0.503915 | − | 0.281786i | ||||
\(385\) | −0.397651 | − | 0.749583i | −0.0202662 | − | 0.0382023i | ||||
\(386\) | −7.23807 | − | 0.0631541i | −0.368408 | − | 0.00321446i | ||||
\(387\) | −4.80724 | + | 9.98234i | −0.244366 | + | 0.507431i | ||||
\(388\) | 7.14816 | + | 5.90743i | 0.362893 | + | 0.299904i | ||||
\(389\) | 11.5003 | + | 5.53824i | 0.583088 | + | 0.280800i | 0.702084 | − | 0.712095i | \(-0.252253\pi\) |
−0.118996 | + | 0.992895i | \(0.537968\pi\) | |||||||
\(390\) | 0.0552372 | − | 0.0260096i | 0.00279704 | − | 0.00131705i | ||||
\(391\) | −16.2102 | −0.819786 | ||||||||
\(392\) | 3.40193 | − | 19.5045i | 0.171823 | − | 0.985128i | ||||
\(393\) | −3.42559 | −0.172798 | ||||||||
\(394\) | 26.2116 | − | 12.3423i | 1.32052 | − | 0.621794i | ||||
\(395\) | −0.364666 | − | 0.175614i | −0.0183483 | − | 0.00883609i | ||||
\(396\) | −4.96496 | − | 4.10318i | −0.249499 | − | 0.206193i | ||||
\(397\) | −1.18100 | + | 2.45238i | −0.0592728 | + | 0.123081i | −0.928501 | − | 0.371330i | \(-0.878902\pi\) |
0.869228 | + | 0.494411i | \(0.164616\pi\) | |||||||
\(398\) | −26.4895 | − | 0.231128i | −1.32780 | − | 0.0115854i | ||||
\(399\) | 0.307106 | − | 0.706875i | 0.0153745 | − | 0.0353880i | ||||
\(400\) | 12.9820 | − | 15.1619i | 0.649101 | − | 0.758093i | ||||
\(401\) | 15.0268 | + | 18.8430i | 0.750402 | + | 0.940974i | 0.999623 | − | 0.0274725i | \(-0.00874588\pi\) |
−0.249221 | + | 0.968447i | \(0.580174\pi\) | |||||||
\(402\) | 0.0934971 | − | 10.7157i | 0.00466321 | − | 0.534449i | ||||
\(403\) | −0.846193 | − | 0.674816i | −0.0421519 | − | 0.0336150i | ||||
\(404\) | 9.23873 | + | 20.0731i | 0.459644 | + | 0.998673i | ||||
\(405\) | 0.0778583 | + | 0.0620899i | 0.00386881 | + | 0.00308527i | ||||
\(406\) | −3.27412 | + | 0.852157i | −0.162492 | + | 0.0422919i | ||||
\(407\) | 9.87400 | − | 7.87425i | 0.489436 | − | 0.390312i | ||||
\(408\) | 4.08065 | − | 3.08300i | 0.202022 | − | 0.152631i | ||||
\(409\) | −23.5080 | − | 5.36555i | −1.16240 | − | 0.265309i | −0.402541 | − | 0.915402i | \(-0.631873\pi\) |
−0.759855 | + | 0.650092i | \(0.774730\pi\) | |||||||
\(410\) | −1.16596 | − | 0.574080i | −0.0575825 | − | 0.0283518i | ||||
\(411\) | −14.7477 | −0.727451 | ||||||||
\(412\) | 5.45208 | − | 2.50935i | 0.268605 | − | 0.123627i | ||||
\(413\) | −14.7523 | − | 27.8084i | −0.725912 | − | 1.36836i | ||||
\(414\) | 12.3353 | + | 2.92890i | 0.606245 | + | 0.143948i | ||||
\(415\) | 1.52882 | − | 0.348943i | 0.0750469 | − | 0.0171290i | ||||
\(416\) | −0.106951 | + | 2.45003i | −0.00524371 | + | 0.120123i | ||||
\(417\) | −9.43457 | − | 11.8306i | −0.462013 | − | 0.579346i | ||||
\(418\) | 1.29083 | + | 0.306498i | 0.0631367 | + | 0.0149913i | ||||
\(419\) | −1.89739 | − | 8.31300i | −0.0926934 | − | 0.406116i | 0.907200 | − | 0.420699i | \(-0.138215\pi\) |
−0.999894 | + | 0.0145827i | \(0.995358\pi\) | |||||||
\(420\) | −0.526830 | + | 0.0113270i | −0.0257067 | + | 0.000552703i | ||||
\(421\) | 4.12697 | − | 18.0814i | 0.201136 | − | 0.881236i | −0.769110 | − | 0.639116i | \(-0.779300\pi\) |
0.970246 | − | 0.242119i | \(-0.0778426\pi\) | |||||||
\(422\) | −6.95947 | + | 14.1347i | −0.338782 | + | 0.688065i | ||||
\(423\) | −6.33972 | −0.308248 | ||||||||
\(424\) | 20.1653 | + | 0.527950i | 0.979314 | + | 0.0256395i | ||||
\(425\) | 3.91496 | + | 8.12949i | 0.189903 | + | 0.394338i | ||||
\(426\) | 2.46924 | − | 0.540966i | 0.119635 | − | 0.0262099i | ||||
\(427\) | 0.247266 | − | 1.31799i | 0.0119660 | − | 0.0637820i | ||||
\(428\) | 0.130715 | − | 7.49001i | 0.00631833 | − | 0.362043i | ||||
\(429\) | −0.310676 | + | 1.36116i | −0.0149996 | + | 0.0657174i | ||||
\(430\) | −1.41170 | + | 0.664730i | −0.0680784 | + | 0.0320561i | ||||
\(431\) | 7.43353 | + | 15.4359i | 0.358061 | + | 0.743521i | 0.999725 | − | 0.0234652i | \(-0.00746989\pi\) |
−0.641664 | + | 0.766986i | \(0.721756\pi\) | |||||||
\(432\) | −3.66224 | + | 1.60873i | −0.176200 | + | 0.0773999i | ||||
\(433\) | −11.8997 | + | 24.7100i | −0.571863 | + | 1.18748i | 0.391723 | + | 0.920083i | \(0.371879\pi\) |
−0.963585 | + | 0.267402i | \(0.913835\pi\) | |||||||
\(434\) | 4.30553 | + | 8.28995i | 0.206672 | + | 0.397930i | ||||
\(435\) | 0.0390687 | + | 0.0811269i | 0.00187320 | + | 0.00388974i | ||||
\(436\) | −2.72416 | − | 12.9750i | −0.130464 | − | 0.621388i | ||||
\(437\) | −2.54598 | + | 0.581103i | −0.121791 | + | 0.0277979i | ||||
\(438\) | −15.9054 | + | 12.4587i | −0.759990 | + | 0.595298i | ||||
\(439\) | 3.77614 | − | 4.73513i | 0.180225 | − | 0.225995i | −0.683510 | − | 0.729941i | \(-0.739547\pi\) |
0.863735 | + | 0.503946i | \(0.168119\pi\) | |||||||
\(440\) | −0.178637 | − | 0.889352i | −0.00851619 | − | 0.0423982i | ||||
\(441\) | −4.77707 | − | 5.11661i | −0.227479 | − | 0.243648i | ||||
\(442\) | −0.994571 | − | 0.489696i | −0.0473069 | − | 0.0232925i | ||||
\(443\) | 17.8627 | + | 14.2450i | 0.848681 | + | 0.676800i | 0.948005 | − | 0.318255i | \(-0.103097\pi\) |
−0.0993245 | + | 0.995055i | \(0.531668\pi\) | |||||||
\(444\) | −1.61155 | − | 7.67569i | −0.0764808 | − | 0.364272i | ||||
\(445\) | −0.0864014 | − | 0.378549i | −0.00409582 | − | 0.0179449i | ||||
\(446\) | −14.7278 | − | 18.8024i | −0.697384 | − | 0.890317i | ||||
\(447\) | −8.38783 | + | 4.03937i | −0.396731 | + | 0.191055i | ||||
\(448\) | 9.43835 | − | 18.9451i | 0.445920 | − | 0.895073i | ||||
\(449\) | 28.7190 | + | 13.8303i | 1.35533 | + | 0.652694i | 0.963591 | − | 0.267382i | \(-0.0861584\pi\) |
0.391742 | + | 0.920075i | \(0.371873\pi\) | |||||||
\(450\) | −1.51025 | − | 6.89355i | −0.0711939 | − | 0.324965i | ||||
\(451\) | 26.7760 | − | 12.8947i | 1.26083 | − | 0.607186i | ||||
\(452\) | 6.97068 | + | 0.121651i | 0.327873 | + | 0.00572200i | ||||
\(453\) | 12.9126 | + | 2.94721i | 0.606685 | + | 0.138472i | ||||
\(454\) | −16.6053 | + | 7.81894i | −0.779324 | + | 0.366961i | ||||
\(455\) | 0.0535287 | + | 0.100903i | 0.00250947 | + | 0.00473041i | ||||
\(456\) | 0.530388 | − | 0.630500i | 0.0248377 | − | 0.0295259i | ||||
\(457\) | −17.0128 | + | 8.19293i | −0.795825 | + | 0.383249i | −0.787188 | − | 0.616714i | \(-0.788464\pi\) |
−0.00863743 | + | 0.999963i | \(0.502749\pi\) | |||||||
\(458\) | 9.94675 | + | 8.07525i | 0.464781 | + | 0.377332i | ||||
\(459\) | − | 1.80820i | − | 0.0843994i | ||||||
\(460\) | 1.08873 | + | 1.41519i | 0.0507621 | + | 0.0659835i | ||||
\(461\) | −8.87806 | − | 2.02636i | −0.413492 | − | 0.0943769i | 0.0107137 | − | 0.999943i | \(-0.496590\pi\) |
−0.424206 | + | 0.905566i | \(0.639447\pi\) | |||||||
\(462\) | 7.22499 | − | 9.64385i | 0.336137 | − | 0.448673i | ||||
\(463\) | −28.1302 | + | 6.42053i | −1.30732 | + | 0.298387i | −0.818756 | − | 0.574141i | \(-0.805336\pi\) |
−0.488563 | + | 0.872528i | \(0.662479\pi\) | |||||||
\(464\) | −3.61459 | − | 0.126201i | −0.167803 | − | 0.00585874i | ||||
\(465\) | 0.194380 | − | 0.155013i | 0.00901414 | − | 0.00718854i | ||||
\(466\) | −6.07559 | − | 27.7320i | −0.281446 | − | 1.28466i | ||||
\(467\) | 5.51726 | + | 24.1727i | 0.255309 | + | 1.11858i | 0.926203 | + | 0.377026i | \(0.123053\pi\) |
−0.670894 | + | 0.741553i | \(0.734089\pi\) | |||||||
\(468\) | 0.668345 | + | 0.552338i | 0.0308943 | + | 0.0255319i | ||||
\(469\) | 20.0328 | − | 0.780613i | 0.925027 | − | 0.0360454i | ||||
\(470\) | −0.693172 | − | 0.562750i | −0.0319736 | − | 0.0259577i | ||||
\(471\) | 21.2070i | 0.977165i | ||||||||
\(472\) | −6.62717 | − | 32.9937i | −0.305040 | − | 1.51866i | ||||
\(473\) | 7.93997 | − | 34.7873i | 0.365080 | − | 1.59952i | ||||
\(474\) | 0.0501500 | − | 5.74767i | 0.00230346 | − | 0.263999i | ||||
\(475\) | 0.906309 | + | 1.13648i | 0.0415843 | + | 0.0521451i | ||||
\(476\) | 6.12502 | + | 7.35067i | 0.280740 | + | 0.336917i | ||||
\(477\) | 4.44670 | − | 5.57599i | 0.203601 | − | 0.255307i | ||||
\(478\) | 21.8003 | + | 17.6985i | 0.997121 | + | 0.809510i | ||||
\(479\) | −7.52756 | + | 9.43927i | −0.343943 | + | 0.431291i | −0.923475 | − | 0.383659i | \(-0.874664\pi\) |
0.579532 | + | 0.814950i | \(0.303235\pi\) | |||||||
\(480\) | −0.543222 | − | 0.149186i | −0.0247946 | − | 0.00680940i | ||||
\(481\) | −1.32916 | + | 1.05997i | −0.0606046 | + | 0.0483305i | ||||
\(482\) | 29.3349 | − | 22.9780i | 1.33617 | − | 1.04662i | ||||
\(483\) | −4.37353 | + | 23.3120i | −0.199002 | + | 1.06073i | ||||
\(484\) | −1.12241 | − | 0.564858i | −0.0510185 | − | 0.0256754i | ||||
\(485\) | 0.416012 | + | 0.200341i | 0.0188901 | + | 0.00909700i | ||||
\(486\) | −0.326710 | + | 1.37596i | −0.0148199 | + | 0.0624147i | ||||
\(487\) | −13.4428 | + | 27.9143i | −0.609153 | + | 1.26492i | 0.337093 | + | 0.941471i | \(0.390556\pi\) |
−0.946246 | + | 0.323448i | \(0.895158\pi\) | |||||||
\(488\) | 0.655595 | − | 1.27488i | 0.0296774 | − | 0.0577112i | ||||
\(489\) | 12.0755i | 0.546072i | ||||||||
\(490\) | −0.0681352 | − | 0.983479i | −0.00307803 | − | 0.0444291i | ||||
\(491\) | − | 21.2953i | − | 0.961042i | −0.876983 | − | 0.480521i | \(-0.840448\pi\) | ||
0.876983 | − | 0.480521i | \(-0.159552\pi\) | |||||||
\(492\) | 0.322045 | − | 18.4533i | 0.0145189 | − | 0.831940i | ||||
\(493\) | 0.709386 | − | 1.47306i | 0.0319491 | − | 0.0663431i | ||||
\(494\) | −0.173762 | − | 0.0412583i | −0.00781792 | − | 0.00185630i | ||||
\(495\) | −0.288953 | − | 0.139152i | −0.0129875 | − | 0.00625444i | ||||
\(496\) | 1.88110 | + | 9.80756i | 0.0844637 | + | 0.440372i | ||||
\(497\) | 1.23105 | + | 4.56605i | 0.0552199 | + | 0.204815i | ||||
\(498\) | 13.7323 | + | 17.5313i | 0.615357 | + | 0.785598i | ||||
\(499\) | 2.87794 | − | 2.29508i | 0.128834 | − | 0.102742i | −0.556953 | − | 0.830544i | \(-0.688030\pi\) |
0.685787 | + | 0.727802i | \(0.259458\pi\) | |||||||
\(500\) | 0.894454 | − | 1.77733i | 0.0400012 | − | 0.0794848i | ||||
\(501\) | −6.22245 | + | 7.80270i | −0.277998 | + | 0.348599i | ||||
\(502\) | −26.6969 | + | 32.8842i | −1.19154 | + | 1.46769i | ||||
\(503\) | −2.69326 | + | 3.37725i | −0.120087 | + | 0.150584i | −0.838241 | − | 0.545300i | \(-0.816416\pi\) |
0.718154 | + | 0.695884i | \(0.244987\pi\) | |||||||
\(504\) | −3.33273 | − | 6.70022i | −0.148452 | − | 0.298451i | ||||
\(505\) | 0.686004 | + | 0.860222i | 0.0305268 | + | 0.0382794i | ||||
\(506\) | −40.8288 | − | 0.356243i | −1.81506 | − | 0.0158369i | ||||
\(507\) | −2.85095 | + | 12.4908i | −0.126615 | + | 0.554737i | ||||
\(508\) | 0.675624 | − | 0.519767i | 0.0299760 | − | 0.0230609i | ||||
\(509\) | − | 15.9436i | − | 0.706688i | −0.935493 | − | 0.353344i | \(-0.885045\pi\) | ||
0.935493 | − | 0.353344i | \(-0.114955\pi\) | |||||||
\(510\) | 0.160506 | − | 0.197705i | 0.00710733 | − | 0.00875451i | ||||
\(511\) | −24.6996 | − | 28.6118i | −1.09264 | − | 1.26571i | ||||
\(512\) | 15.4522 | − | 16.5296i | 0.682899 | − | 0.730513i | ||||
\(513\) | −0.0648202 | − | 0.283996i | −0.00286188 | − | 0.0125387i | ||||
\(514\) | −27.6871 | + | 6.06574i | −1.22122 | + | 0.267548i | ||||
\(515\) | 0.233646 | − | 0.186327i | 0.0102957 | − | 0.00821054i | ||||
\(516\) | −17.0810 | − | 14.1162i | −0.751948 | − | 0.621430i | ||||
\(517\) | 19.9053 | − | 4.54325i | 0.875433 | − | 0.199812i | ||||
\(518\) | 14.1999 | − | 3.69582i | 0.623908 | − | 0.162385i | ||||
\(519\) | −12.3035 | − | 2.80818i | −0.540062 | − | 0.123266i | ||||
\(520\) | 0.0240468 | + | 0.119718i | 0.00105452 | + | 0.00524997i | ||||
\(521\) | − | 16.7274i | − | 0.732841i | −0.930449 | − | 0.366420i | \(-0.880583\pi\) | ||
0.930449 | − | 0.366420i | \(-0.119417\pi\) | |||||||
\(522\) | −0.805967 | + | 0.992756i | −0.0352762 | + | 0.0434518i | ||||
\(523\) | 38.0435 | − | 18.3208i | 1.66352 | − | 0.801111i | 0.664998 | − | 0.746845i | \(-0.268432\pi\) |
0.998527 | − | 0.0542658i | \(-0.0172818\pi\) | |||||||
\(524\) | 1.64085 | − | 6.65179i | 0.0716808 | − | 0.290585i | ||||
\(525\) | 12.7474 | − | 3.43679i | 0.556340 | − | 0.149994i | ||||
\(526\) | 9.15993 | + | 19.4532i | 0.399392 | + | 0.848198i | ||||
\(527\) | −4.40113 | − | 1.00453i | −0.191716 | − | 0.0437580i | ||||
\(528\) | 10.3457 | − | 7.67552i | 0.450240 | − | 0.334034i | ||||
\(529\) | 51.6872 | − | 24.8912i | 2.24727 | − | 1.08223i | ||||
\(530\) | 0.981150 | − | 0.214952i | 0.0426185 | − | 0.00933693i | ||||
\(531\) | −10.7197 | − | 5.16235i | −0.465197 | − | 0.224027i | ||||
\(532\) | 1.22550 | + | 0.934927i | 0.0531323 | + | 0.0405342i | ||||
\(533\) | −3.60438 | + | 1.73578i | −0.156123 | + | 0.0751850i | ||||
\(534\) | 4.34091 | − | 3.40023i | 0.187850 | − | 0.147142i | ||||
\(535\) | −0.0830006 | − | 0.363649i | −0.00358843 | − | 0.0157219i | ||||
\(536\) | 20.7628 | + | 5.31434i | 0.896818 | + | 0.229544i | ||||
\(537\) | 1.02348 | + | 0.816200i | 0.0441665 | + | 0.0352216i | ||||
\(538\) | 6.28276 | − | 12.7603i | 0.270869 | − | 0.550134i | ||||
\(539\) | 18.6656 | + | 12.6416i | 0.803985 | + | 0.544511i | ||||
\(540\) | −0.157860 | + | 0.121444i | −0.00679320 | + | 0.00522611i | ||||
\(541\) | 15.4158 | − | 19.3309i | 0.662779 | − | 0.831098i | −0.330864 | − | 0.943678i | \(-0.607340\pi\) |
0.993643 | + | 0.112580i | \(0.0359116\pi\) | |||||||
\(542\) | 8.61960 | + | 11.0042i | 0.370243 | + | 0.472673i | ||||
\(543\) | 22.6415 | − | 5.16778i | 0.971641 | − | 0.221771i | ||||
\(544\) | 4.03194 | + | 9.40053i | 0.172868 | + | 0.403044i | ||||
\(545\) | −0.286423 | − | 0.594764i | −0.0122690 | − | 0.0254769i | ||||
\(546\) | −0.972572 | + | 1.29818i | −0.0416222 | + | 0.0555570i | ||||
\(547\) | 5.35169 | − | 11.1129i | 0.228822 | − | 0.475154i | −0.754670 | − | 0.656104i | \(-0.772203\pi\) |
0.983492 | + | 0.180951i | \(0.0579174\pi\) | |||||||
\(548\) | 7.06412 | − | 28.6370i | 0.301764 | − | 1.22331i | ||||
\(549\) | −0.219912 | − | 0.456651i | −0.00938559 | − | 0.0194894i | ||||
\(550\) | 9.68199 | + | 20.5619i | 0.412841 | + | 0.876761i | ||||
\(551\) | 0.0586103 | − | 0.256788i | 0.00249688 | − | 0.0109395i | ||||
\(552\) | −11.5959 | + | 22.5496i | −0.493553 | + | 0.959774i | ||||
\(553\) | 10.7452 | − | 0.418705i | 0.456931 | − | 0.0178052i | ||||
\(554\) | −2.49346 | − | 11.3814i | −0.105937 | − | 0.483550i | ||||
\(555\) | −0.169441 | − | 0.351849i | −0.00719239 | − | 0.0149351i | ||||
\(556\) | 27.4917 | − | 12.6532i | 1.16591 | − | 0.536614i | ||||
\(557\) | −18.4403 | −0.781339 | −0.390670 | − | 0.920531i | \(-0.627756\pi\) | ||||
−0.390670 | + | 0.920531i | \(0.627756\pi\) | |||||||
\(558\) | 3.16756 | + | 1.55961i | 0.134094 | + | 0.0660235i | ||||
\(559\) | −1.06882 | + | 4.68280i | −0.0452062 | + | 0.198061i | ||||
\(560\) | 0.230356 | − | 1.02842i | 0.00973430 | − | 0.0434587i | ||||
\(561\) | 1.29581 | + | 5.67733i | 0.0547093 | + | 0.239697i | ||||
\(562\) | 1.60330 | − | 6.75238i | 0.0676310 | − | 0.284832i | ||||
\(563\) | −18.8789 | − | 23.6734i | −0.795649 | − | 0.997713i | −0.999824 | − | 0.0187783i | \(-0.994022\pi\) |
0.204174 | − | 0.978935i | \(-0.434549\pi\) | |||||||
\(564\) | 3.03671 | − | 12.3104i | 0.127869 | − | 0.518362i | ||||
\(565\) | 0.338436 | − | 0.0772457i | 0.0142381 | − | 0.00324975i | ||||
\(566\) | 3.40620 | − | 14.3454i | 0.143173 | − | 0.602984i | ||||
\(567\) | −2.60038 | − | 0.487853i | −0.109206 | − | 0.0204879i | ||||
\(568\) | −0.132316 | + | 5.05388i | −0.00555187 | + | 0.212056i | ||||
\(569\) | 38.9896 | 1.63453 | 0.817265 | − | 0.576262i | \(-0.195489\pi\) | ||||
0.817265 | + | 0.576262i | \(0.195489\pi\) | |||||||
\(570\) | 0.0181218 | − | 0.0368053i | 0.000759038 | − | 0.00154161i | ||||
\(571\) | −33.2694 | − | 7.59351i | −1.39228 | − | 0.317779i | −0.540352 | − | 0.841439i | \(-0.681709\pi\) |
−0.851927 | + | 0.523660i | \(0.824566\pi\) | |||||||
\(572\) | −2.49428 | − | 1.25526i | −0.104291 | − | 0.0524850i | ||||
\(573\) | −9.24226 | + | 7.37046i | −0.386101 | + | 0.307905i | ||||
\(574\) | 34.5125 | − | 1.04336i | 1.44052 | − | 0.0435489i | ||||
\(575\) | −34.9755 | − | 27.8920i | −1.45858 | − | 1.16318i | ||||
\(576\) | −1.36961 | − | 7.88189i | −0.0570672 | − | 0.328412i | ||||
\(577\) | 14.4450 | + | 11.5195i | 0.601352 | + | 0.479562i | 0.876215 | − | 0.481921i | \(-0.160061\pi\) |
−0.274862 | + | 0.961484i | \(0.588632\pi\) | |||||||
\(578\) | 19.4170 | + | 0.169419i | 0.807641 | + | 0.00704688i | ||||
\(579\) | −3.19120 | − | 4.00164i | −0.132622 | − | 0.166302i | ||||
\(580\) | −0.176246 | + | 0.0370037i | −0.00731820 | + | 0.00153649i | ||||
\(581\) | −31.5366 | + | 27.2245i | −1.30836 | + | 1.12946i | ||||
\(582\) | −0.0572112 | + | 6.55696i | −0.00237148 | + | 0.271795i | ||||
\(583\) | −9.96570 | + | 20.6940i | −0.412737 | + | 0.857058i | ||||
\(584\) | −16.5735 | − | 36.8527i | −0.685817 | − | 1.52498i | ||||
\(585\) | 0.0388966 | + | 0.0187316i | 0.00160818 | + | 0.000774458i | ||||
\(586\) | 4.52723 | + | 9.61460i | 0.187018 | + | 0.397175i | ||||
\(587\) | −27.3889 | −1.13046 | −0.565230 | − | 0.824934i | \(-0.691212\pi\) | ||||
−0.565230 | + | 0.824934i | \(0.691212\pi\) | |||||||
\(588\) | 12.2236 | − | 6.82523i | 0.504092 | − | 0.281468i | ||||
\(589\) | −0.727252 | −0.0299659 | ||||||||
\(590\) | −0.713834 | − | 1.51599i | −0.0293881 | − | 0.0624122i | ||||
\(591\) | 18.4575 | + | 8.88868i | 0.759241 | + | 0.365631i | ||||
\(592\) | 15.6765 | + | 0.547336i | 0.644301 | + | 0.0224954i | ||||
\(593\) | −2.01452 | + | 4.18319i | −0.0827263 | + | 0.171783i | −0.938229 | − | 0.346016i | \(-0.887534\pi\) |
0.855502 | + | 0.517799i | \(0.173249\pi\) | |||||||
\(594\) | 0.0397377 | − | 4.55433i | 0.00163046 | − | 0.186866i | ||||
\(595\) | 0.383761 | + | 0.282312i | 0.0157327 | + | 0.0115737i | ||||
\(596\) | −3.82586 | − | 18.2223i | −0.156714 | − | 0.746414i | ||||
\(597\) | −11.6790 | − | 14.6450i | −0.477989 | − | 0.599380i | ||||
\(598\) | 5.49606 | + | 0.0479546i | 0.224751 | + | 0.00196101i | ||||
\(599\) | 35.1376 | + | 28.0213i | 1.43568 | + | 1.14492i | 0.964883 | + | 0.262678i | \(0.0846058\pi\) |
0.470799 | + | 0.882240i | \(0.343966\pi\) | |||||||
\(600\) | 14.1093 | + | 0.369396i | 0.576008 | + | 0.0150805i | ||||
\(601\) | −20.5040 | − | 16.3514i | −0.836374 | − | 0.666986i | 0.108616 | − | 0.994084i | \(-0.465358\pi\) |
−0.944991 | + | 0.327098i | \(0.893929\pi\) | |||||||
\(602\) | 24.8561 | − | 33.1778i | 1.01306 | − | 1.35223i | ||||
\(603\) | 5.92426 | − | 4.72444i | 0.241255 | − | 0.192394i | ||||
\(604\) | −11.9080 | + | 23.6618i | −0.484528 | + | 0.962786i | ||||
\(605\) | −0.0609967 | − | 0.0139221i | −0.00247987 | − | 0.000566014i | ||||
\(606\) | −6.90201 | + | 14.0180i | −0.280375 | + | 0.569441i | ||||
\(607\) | −3.05315 | −0.123923 | −0.0619617 | − | 0.998079i | \(-0.519736\pi\) | ||||
−0.0619617 | + | 0.998079i | \(0.519736\pi\) | |||||||
\(608\) | 0.970246 | + | 1.33191i | 0.0393487 | + | 0.0540162i | ||||
\(609\) | −1.92702 | − | 1.41761i | −0.0780868 | − | 0.0574443i | ||||
\(610\) | 0.0164903 | − | 0.0694499i | 0.000667673 | − | 0.00281194i | ||||
\(611\) | −2.67949 | + | 0.611577i | −0.108401 | + | 0.0247418i | ||||
\(612\) | 3.51115 | + | 0.866122i | 0.141930 | + | 0.0350109i | ||||
\(613\) | −9.63884 | − | 12.0867i | −0.389309 | − | 0.488178i | 0.548098 | − | 0.836414i | \(-0.315352\pi\) |
−0.937407 | + | 0.348236i | \(0.886781\pi\) | |||||||
\(614\) | −2.35302 | + | 9.90991i | −0.0949603 | + | 0.399931i | ||||
\(615\) | −0.204491 | − | 0.895932i | −0.00824586 | − | 0.0361275i | ||||
\(616\) | 15.2656 | + | 18.6488i | 0.615069 | + | 0.751382i | ||||
\(617\) | −1.71172 | + | 7.49954i | −0.0689113 | + | 0.301920i | −0.997625 | − | 0.0688771i | \(-0.978058\pi\) |
0.928714 | + | 0.370797i | \(0.120915\pi\) | |||||||
\(618\) | 3.80745 | + | 1.87467i | 0.153158 | + | 0.0754102i | ||||
\(619\) | 44.4332 | 1.78592 | 0.892961 | − | 0.450135i | \(-0.148624\pi\) | ||||
0.892961 | + | 0.450135i | \(0.148624\pi\) | |||||||
\(620\) | 0.207895 | + | 0.451696i | 0.00834927 | + | 0.0181405i | ||||
\(621\) | 3.88970 | + | 8.07705i | 0.156088 | + | 0.324121i | ||||
\(622\) | −8.53895 | − | 38.9761i | −0.342381 | − | 1.56280i | ||||
\(623\) | 6.74102 | + | 7.80874i | 0.270073 | + | 0.312850i | ||||
\(624\) | −1.39266 | + | 1.03322i | −0.0557511 | + | 0.0413619i | ||||
\(625\) | −5.52994 | + | 24.2283i | −0.221198 | + | 0.969131i | ||||
\(626\) | 4.17635 | + | 8.86942i | 0.166921 | + | 0.354493i | ||||
\(627\) | 0.407041 | + | 0.845230i | 0.0162557 | + | 0.0337552i | ||||
\(628\) | −41.1795 | − | 10.1581i | −1.64324 | − | 0.405352i | ||||
\(629\) | −3.07662 | + | 6.38866i | −0.122673 | + | 0.254733i | ||||
\(630\) | −0.241016 | − | 0.284166i | −0.00960231 | − | 0.0113214i | ||||
\(631\) | 12.4745 | + | 25.9036i | 0.496604 | + | 1.03121i | 0.987151 | + | 0.159793i | \(0.0510827\pi\) |
−0.490547 | + | 0.871415i | \(0.663203\pi\) | |||||||
\(632\) | 11.1368 | + | 2.85050i | 0.442997 | + | 0.113387i | ||||
\(633\) | −10.8612 | + | 2.47900i | −0.431695 | + | 0.0985315i | ||||
\(634\) | −15.5240 | − | 19.8188i | −0.616538 | − | 0.787106i | ||||
\(635\) | 0.0264635 | − | 0.0331841i | 0.00105017 | − | 0.00131687i | ||||
\(636\) | 8.69746 | + | 11.3055i | 0.344877 | + | 0.448291i | ||||
\(637\) | −2.51262 | − | 1.70171i | −0.0995537 | − | 0.0674243i | ||||
\(638\) | 1.81911 | − | 3.69461i | 0.0720193 | − | 0.146271i | ||||
\(639\) | 1.39747 | + | 1.11444i | 0.0552830 | + | 0.0440867i | ||||
\(640\) | 0.549891 | − | 0.983364i | 0.0217364 | − | 0.0388709i | ||||
\(641\) | −0.540475 | − | 2.36798i | −0.0213475 | − | 0.0935295i | 0.963132 | − | 0.269030i | \(-0.0867029\pi\) |
−0.984479 | + | 0.175500i | \(0.943846\pi\) | |||||||
\(642\) | 4.17005 | − | 3.26639i | 0.164579 | − | 0.128914i | ||||
\(643\) | −39.3033 | + | 18.9275i | −1.54997 | + | 0.746427i | −0.996270 | − | 0.0862874i | \(-0.972500\pi\) |
−0.553702 | + | 0.832715i | \(0.686785\pi\) | |||||||
\(644\) | −43.1723 | − | 19.6589i | −1.70123 | − | 0.774669i | ||||
\(645\) | −0.994086 | − | 0.478727i | −0.0391421 | − | 0.0188498i | ||||
\(646\) | −0.727646 | + | 0.159414i | −0.0286288 | + | 0.00627206i | ||||
\(647\) | −27.7425 | + | 13.3601i | −1.09067 | + | 0.525240i | −0.890714 | − | 0.454565i | \(-0.849795\pi\) |
−0.199958 | + | 0.979804i | \(0.564081\pi\) | |||||||
\(648\) | −2.51533 | − | 1.29348i | −0.0988116 | − | 0.0508128i | ||||
\(649\) | 37.3570 | + | 8.52650i | 1.46639 | + | 0.334694i | ||||
\(650\) | −1.30331 | − | 2.76788i | −0.0511202 | − | 0.108565i | ||||
\(651\) | −2.63205 | + | 6.05828i | −0.103158 | + | 0.237443i | ||||
\(652\) | −23.4481 | − | 5.78412i | −0.918297 | − | 0.226524i | ||||
\(653\) | −36.1076 | + | 17.3885i | −1.41300 | + | 0.680465i | −0.975753 | − | 0.218876i | \(-0.929761\pi\) |
−0.437247 | + | 0.899341i | \(0.644047\pi\) | |||||||
\(654\) | 5.90877 | − | 7.27817i | 0.231051 | − | 0.284599i | ||||
\(655\) | − | 0.341136i | − | 0.0133293i | ||||||
\(656\) | 35.6783 | + | 9.46444i | 1.39300 | + | 0.369524i | ||||
\(657\) | −13.9282 | − | 3.17902i | −0.543390 | − | 0.124025i | ||||
\(658\) | 23.2753 | + | 4.57720i | 0.907364 | + | 0.178438i | ||||
\(659\) | 4.05205 | − | 0.924854i | 0.157846 | − | 0.0360272i | −0.142868 | − | 0.989742i | \(-0.545632\pi\) |
0.300713 | + | 0.953715i | \(0.402775\pi\) | |||||||
\(660\) | 0.408613 | − | 0.494434i | 0.0159052 | − | 0.0192458i | ||||
\(661\) | 5.87709 | − | 4.68682i | 0.228592 | − | 0.182296i | −0.502495 | − | 0.864580i | \(-0.667585\pi\) |
0.731087 | + | 0.682284i | \(0.239013\pi\) | |||||||
\(662\) | −11.5228 | + | 2.52444i | −0.447847 | + | 0.0981151i | ||||
\(663\) | −0.174432 | − | 0.764238i | −0.00677439 | − | 0.0296806i | ||||
\(664\) | −40.6200 | + | 18.2677i | −1.57636 | + | 0.708926i | ||||
\(665\) | 0.0703938 | + | 0.0305830i | 0.00272976 | + | 0.00118596i | ||||
\(666\) | 3.49549 | − | 4.30560i | 0.135447 | − | 0.166839i | ||||
\(667\) | 8.10599i | 0.313865i | ||||||||
\(668\) | −12.1707 | − | 15.8202i | −0.470898 | − | 0.612101i | ||||
\(669\) | 3.75803 | − | 16.4650i | 0.145294 | − | 0.636574i | ||||
\(670\) | 1.06712 | + | 0.00931087i | 0.0412263 | + | 0.000359710i | ||||
\(671\) | 1.01772 | + | 1.27618i | 0.0392888 | + | 0.0492666i | ||||
\(672\) | 14.6068 | − | 3.26209i | 0.563470 | − | 0.125838i | ||||
\(673\) | 29.3544 | − | 36.8092i | 1.13153 | − | 1.41889i | 0.237209 | − | 0.971459i | \(-0.423767\pi\) |
0.894318 | − | 0.447432i | \(-0.147661\pi\) | |||||||
\(674\) | −27.1805 | + | 33.4798i | −1.04695 | + | 1.28959i | ||||
\(675\) | 3.11127 | − | 3.90140i | 0.119753 | − | 0.150165i | ||||
\(676\) | −22.8890 | − | 11.5190i | −0.880347 | − | 0.443040i | ||||
\(677\) | −10.2151 | + | 8.14623i | −0.392596 | + | 0.313085i | −0.799816 | − | 0.600245i | \(-0.795070\pi\) |
0.407220 | + | 0.913330i | \(0.366498\pi\) | |||||||
\(678\) | 3.03992 | + | 3.88092i | 0.116747 | + | 0.149046i | ||||
\(679\) | −12.2581 | + | 0.477660i | −0.470423 | + | 0.0183309i | ||||
\(680\) | 0.307020 | + | 0.406370i | 0.0117737 | + | 0.0155836i | ||||
\(681\) | −11.6930 | − | 5.63106i | −0.448077 | − | 0.215783i | ||||
\(682\) | −11.0631 | − | 2.62684i | −0.423628 | − | 0.100587i | ||||
\(683\) | −12.7595 | + | 26.4953i | −0.488227 | + | 1.01381i | 0.500729 | + | 0.865604i | \(0.333065\pi\) |
−0.988956 | + | 0.148209i | \(0.952649\pi\) | |||||||
\(684\) | 0.582510 | + | 0.0101659i | 0.0222728 | + | 0.000388702i | ||||
\(685\) | − | 1.46864i | − | 0.0561140i | ||||||
\(686\) | 13.8441 | + | 22.2338i | 0.528570 | + | 0.848890i | ||||
\(687\) | 9.05946i | 0.345640i | ||||||||
\(688\) | 35.5925 | − | 26.4061i | 1.35695 | − | 1.00672i | ||||
\(689\) | 1.34151 | − | 2.78567i | 0.0511073 | − | 0.106125i | ||||
\(690\) | −0.291673 | + | 1.22840i | −0.0111038 | + | 0.0467644i | ||||
\(691\) | −12.9649 | − | 6.24354i | −0.493206 | − | 0.237516i | 0.170712 | − | 0.985321i | \(-0.445393\pi\) |
−0.663918 | + | 0.747805i | \(0.731108\pi\) | |||||||
\(692\) | 11.3462 | − | 22.5457i | 0.431319 | − | 0.857058i | ||||
\(693\) | 8.51423 | − | 0.331773i | 0.323429 | − | 0.0126030i | ||||
\(694\) | 7.79643 | − | 6.10693i | 0.295949 | − | 0.231816i | ||||
\(695\) | 1.17814 | − | 0.939537i | 0.0446895 | − | 0.0356387i | ||||
\(696\) | −1.54167 | − | 2.04055i | −0.0584369 | − | 0.0773468i | ||||
\(697\) | −10.4037 | + | 13.0458i | −0.394067 | + | 0.494144i | ||||
\(698\) | −11.6418 | − | 9.45140i | −0.440650 | − | 0.357741i | ||||
\(699\) | 12.5163 | − | 15.6949i | 0.473410 | − | 0.593637i | ||||
\(700\) | 0.567587 | + | 26.3989i | 0.0214528 | + | 0.997786i | ||||
\(701\) | −28.2283 | − | 35.3971i | −1.06617 | − | 1.33693i | −0.938564 | − | 0.345106i | \(-0.887843\pi\) |
−0.127603 | − | 0.991825i | \(-0.540728\pi\) | |||||||
\(702\) | −0.00534919 | + | 0.613068i | −0.000201892 | + | 0.0231388i | ||||
\(703\) | −0.254194 | + | 1.11369i | −0.00958709 | + | 0.0420038i | ||||
\(704\) | 9.94869 | + | 23.7658i | 0.374955 | + | 0.895708i | ||||
\(705\) | − | 0.631338i | − | 0.0237776i | ||||||
\(706\) | −11.6092 | − | 9.42489i | −0.436918 | − | 0.354710i | ||||
\(707\) | −26.8108 | − | 11.6481i | −1.00832 | − | 0.438071i | ||||
\(708\) | 15.1589 | − | 18.3428i | 0.569708 | − | 0.689363i | ||||
\(709\) | 6.02683 | + | 26.4053i | 0.226342 | + | 0.991670i | 0.952595 | + | 0.304242i | \(0.0984032\pi\) |
−0.726253 | + | 0.687428i | \(0.758740\pi\) | |||||||
\(710\) | 0.0538719 | + | 0.245898i | 0.00202178 | + | 0.00922840i | ||||
\(711\) | 3.17765 | − | 2.53409i | 0.119171 | − | 0.0950360i | ||||
\(712\) | 4.52325 | + | 10.0579i | 0.169516 | + | 0.376934i | ||||
\(713\) | 21.8203 | − | 4.98035i | 0.817178 | − | 0.186515i | ||||
\(714\) | −1.30550 | + | 6.63851i | −0.0488570 | + | 0.248440i | ||||
\(715\) | −0.135550 | − | 0.0309385i | −0.00506929 | − | 0.00115703i | ||||
\(716\) | −2.07514 | + | 1.59643i | −0.0775516 | + | 0.0596615i | ||||
\(717\) | 19.8556i | 0.741520i | ||||||||
\(718\) | −5.05211 | − | 4.10154i | −0.188543 | − | 0.153068i | ||||
\(719\) | −15.2099 | + | 7.32469i | −0.567233 | + | 0.273165i | −0.695442 | − | 0.718582i | \(-0.744791\pi\) |
0.128209 | + | 0.991747i | \(0.459077\pi\) | |||||||
\(720\) | −0.160204 | − | 0.364702i | −0.00597047 | − | 0.0135917i | ||||
\(721\) | −3.16375 | + | 7.28212i | −0.117824 | + | 0.271200i | ||||
\(722\) | 24.2013 | − | 11.3957i | 0.900680 | − | 0.424104i | ||||
\(723\) | 25.6883 | + | 5.86318i | 0.955357 | + | 0.218054i | ||||
\(724\) | −0.810474 | + | 46.4405i | −0.0301210 | + | 1.72595i | ||||
\(725\) | 4.06519 | − | 1.95769i | 0.150977 | − | 0.0727069i | ||||
\(726\) | −0.190144 | − | 0.867914i | −0.00705692 | − | 0.0322113i | ||||
\(727\) | −19.0828 | − | 9.18981i | −0.707744 | − | 0.340831i | 0.0451440 | − | 0.998980i | \(-0.485625\pi\) |
−0.752888 | + | 0.658149i | \(0.771340\pi\) | |||||||
\(728\) | −2.05494 | − | 2.51036i | −0.0761611 | − | 0.0930401i | ||||
\(729\) | −0.900969 | + | 0.433884i | −0.0333692 | + | 0.0160698i | ||||
\(730\) | −1.24069 | − | 1.58393i | −0.0459200 | − | 0.0586240i | ||||
\(731\) | 4.45799 | + | 19.5317i | 0.164885 | + | 0.722407i | ||||
\(732\) | 0.992059 | − | 0.208288i | 0.0366676 | − | 0.00769855i | ||||
\(733\) | −4.30833 | − | 3.43578i | −0.159132 | − | 0.126903i | 0.540687 | − | 0.841224i | \(-0.318164\pi\) |
−0.699819 | + | 0.714321i | \(0.746736\pi\) | |||||||
\(734\) | −10.3168 | − | 5.07965i | −0.380799 | − | 0.187493i | ||||
\(735\) | 0.509535 | − | 0.475722i | 0.0187945 | − | 0.0175473i | ||||
\(736\) | −38.2322 | − | 33.3180i | −1.40926 | − | 1.22812i | ||||
\(737\) | −15.2152 | + | 19.0792i | −0.560457 | + | 0.702791i | ||||
\(738\) | 10.2739 | − | 8.04749i | 0.378186 | − | 0.296232i | ||||
\(739\) | 20.2802 | − | 4.62883i | 0.746020 | − | 0.170274i | 0.167420 | − | 0.985886i | \(-0.446456\pi\) |
0.578600 | + | 0.815612i | \(0.303599\pi\) | |||||||
\(740\) | 0.764379 | − | 0.160486i | 0.0280991 | − | 0.00589957i | ||||
\(741\) | −0.0547928 | − | 0.113778i | −0.00201286 | − | 0.00417975i | ||||
\(742\) | −20.3512 | + | 17.2609i | −0.747114 | + | 0.633667i | ||||
\(743\) | −11.3040 | + | 23.4731i | −0.414705 | + | 0.861143i | 0.584072 | + | 0.811702i | \(0.301458\pi\) |
−0.998777 | + | 0.0494416i | \(0.984256\pi\) | |||||||
\(744\) | −4.54569 | + | 5.40371i | −0.166653 | + | 0.198109i | ||||
\(745\) | −0.402258 | − | 0.835298i | −0.0147376 | − | 0.0306030i | ||||
\(746\) | −24.7709 | + | 11.6639i | −0.906926 | + | 0.427045i | ||||
\(747\) | −3.50399 | + | 15.3520i | −0.128204 | + | 0.561700i | ||||
\(748\) | −11.6449 | − | 0.203225i | −0.425779 | − | 0.00743064i | ||||
\(749\) | 6.47569 | + | 7.50138i | 0.236616 | + | 0.274094i | ||||
\(750\) | 1.37435 | − | 0.301094i | 0.0501840 | − | 0.0109944i | ||||
\(751\) | −19.4347 | − | 40.3566i | −0.709184 | − | 1.47264i | −0.873804 | − | 0.486278i | \(-0.838354\pi\) |
0.164620 | − | 0.986357i | \(-0.447360\pi\) | |||||||
\(752\) | 22.4497 | + | 11.7933i | 0.818657 | + | 0.430058i | ||||
\(753\) | −29.9507 | −1.09147 | ||||||||
\(754\) | −0.244875 | + | 0.497340i | −0.00891781 | + | 0.0181121i | ||||
\(755\) | −0.293496 | + | 1.28589i | −0.0106814 | + | 0.0467984i | ||||
\(756\) | 2.19289 | − | 4.81573i | 0.0797546 | − | 0.175146i | ||||
\(757\) | 2.00781 | + | 8.79680i | 0.0729752 | + | 0.319725i | 0.998220 | − | 0.0596464i | \(-0.0189973\pi\) |
−0.925244 | + | 0.379372i | \(0.876140\pi\) | |||||||
\(758\) | −38.4504 | − | 9.12972i | −1.39658 | − | 0.331606i | ||||
\(759\) | −18.0011 | − | 22.5726i | −0.653397 | − | 0.819334i | ||||
\(760\) | 0.0627880 | + | 0.0528184i | 0.00227756 | + | 0.00191593i | ||||
\(761\) | 5.13003 | − | 1.17090i | 0.185964 | − | 0.0424450i | −0.128525 | − | 0.991706i | \(-0.541024\pi\) |
0.314488 | + | 0.949261i | \(0.398167\pi\) | |||||||
\(762\) | 0.586449 | + | 0.139247i | 0.0212448 | + | 0.00504440i | ||||
\(763\) | 14.1275 | + | 10.3929i | 0.511451 | + | 0.376247i | ||||
\(764\) | −9.88489 | − | 21.4770i | −0.357623 | − | 0.777011i | ||||
\(765\) | 0.180068 | 0.00651039 | ||||||||
\(766\) | 3.12585 | + | 1.53907i | 0.112941 | + | 0.0556089i | ||||
\(767\) | −5.02872 | − | 1.14777i | −0.181576 | − | 0.0414436i | ||||
\(768\) | 15.9610 | + | 1.11590i | 0.575944 | + | 0.0402665i | ||||
\(769\) | 3.70432 | − | 2.95409i | 0.133581 | − | 0.106527i | −0.554420 | − | 0.832237i | \(-0.687060\pi\) |
0.688001 | + | 0.725710i | \(0.258488\pi\) | |||||||
\(770\) | 0.960379 | + | 0.719497i | 0.0346096 | + | 0.0259289i | ||||
\(771\) | −15.6695 | − | 12.4960i | −0.564323 | − | 0.450033i | ||||
\(772\) | 9.29893 | − | 4.27987i | 0.334676 | − | 0.154036i | ||||
\(773\) | 17.6980 | + | 14.1137i | 0.636554 | + | 0.507635i | 0.887765 | − | 0.460298i | \(-0.152257\pi\) |
−0.251211 | + | 0.967932i | \(0.580829\pi\) | |||||||
\(774\) | 0.136710 | − | 15.6683i | 0.00491393 | − | 0.563184i | ||||
\(775\) | −7.76753 | − | 9.74018i | −0.279018 | − | 0.349877i | ||||
\(776\) | −12.7048 | − | 3.25186i | −0.456078 | − | 0.116735i | ||||
\(777\) | 8.35752 | + | 6.14818i | 0.299824 | + | 0.220565i | ||||
\(778\) | −18.0508 | − | 0.157498i | −0.647154 | − | 0.00564659i | ||||
\(779\) | −1.16634 | + | 2.42192i | −0.0417883 | + | 0.0867743i | ||||
\(780\) | −0.0550044 | + | 0.0665568i | −0.00196947 | + | 0.00238312i | ||||
\(781\) | −5.18638 | − | 2.49763i | −0.185583 | − | 0.0893722i | ||||
\(782\) | 20.7404 | − | 9.76607i | 0.741677 | − | 0.349234i | ||||
\(783\) | −0.904198 | −0.0323134 | ||||||||
\(784\) | 7.39812 | + | 27.0050i | 0.264219 | + | 0.964463i | ||||
\(785\) | −2.11189 | −0.0753764 | ||||||||
\(786\) | 4.38293 | − | 2.06379i | 0.156334 | − | 0.0736131i | ||||
\(787\) | −19.9471 | − | 9.60599i | −0.711036 | − | 0.342417i | 0.0431585 | − | 0.999068i | \(-0.486258\pi\) |
−0.754194 | + | 0.656652i | \(0.771972\pi\) | |||||||
\(788\) | −26.1011 | + | 31.5831i | −0.929813 | + | 1.12510i | ||||
\(789\) | −6.59682 | + | 13.6984i | −0.234853 | + | 0.487677i | ||||
\(790\) | 0.572379 | + | 0.00499416i | 0.0203643 | + | 0.000177684i | ||||
\(791\) | −6.98127 | + | 6.02669i | −0.248225 | + | 0.214285i | ||||
\(792\) | 8.82453 | + | 2.25867i | 0.313566 | + | 0.0802585i | ||||
\(793\) | −0.136998 | − | 0.171790i | −0.00486494 | − | 0.00610045i | ||||
\(794\) | 0.0335857 | − | 3.84925i | 0.00119191 | − | 0.136605i | ||||
\(795\) | 0.555282 | + | 0.442823i | 0.0196938 | + | 0.0157053i | ||||
\(796\) | 34.0318 | − | 15.6633i | 1.20622 | − | 0.555170i | ||||
\(797\) | −26.4742 | − | 21.1125i | −0.937765 | − | 0.747842i | 0.0300389 | − | 0.999549i | \(-0.490437\pi\) |
−0.967804 | + | 0.251706i | \(0.919008\pi\) | |||||||
\(798\) | 0.0329353 | + | 1.08944i | 0.00116590 | + | 0.0385659i | ||||
\(799\) | −8.96249 | + | 7.14735i | −0.317070 | + | 0.252855i | ||||
\(800\) | −7.47559 | + | 27.2203i | −0.264302 | + | 0.962383i | ||||
\(801\) | 3.80128 | + | 0.867618i | 0.134312 | + | 0.0306558i | ||||
\(802\) | −30.5785 | − | 15.0559i | −1.07976 | − | 0.531642i | ||||
\(803\) | 46.0095 | 1.62364 | ||||||||
\(804\) | 6.33618 | + | 13.7667i | 0.223460 | + | 0.485514i | ||||
\(805\) | −2.32152 | − | 0.435536i | −0.0818228 | − | 0.0153506i | ||||
\(806\) | 1.48923 | + | 0.353605i | 0.0524559 | + | 0.0124552i | ||||
\(807\) | 9.80512 | − | 2.23795i | 0.345157 | − | 0.0787797i | ||||
\(808\) | −23.9140 | − | 20.1169i | −0.841290 | − | 0.707709i | ||||
\(809\) | −1.81637 | − | 2.27765i | −0.0638600 | − | 0.0800779i | 0.748876 | − | 0.662711i | \(-0.230594\pi\) |
−0.812736 | + | 0.582633i | \(0.802023\pi\) | |||||||
\(810\) | −0.137024 | − | 0.0325352i | −0.00481454 | − | 0.00114317i | ||||
\(811\) | 11.2279 | + | 49.1924i | 0.394263 | + | 1.72738i | 0.649375 | + | 0.760468i | \(0.275031\pi\) |
−0.255112 | + | 0.966912i | \(0.582112\pi\) | |||||||
\(812\) | 3.67574 | − | 3.06285i | 0.128993 | − | 0.107485i | ||||
\(813\) | −2.19942 | + | 9.63628i | −0.0771370 | + | 0.337959i | ||||
\(814\) | −7.88951 | + | 16.0236i | −0.276527 | + | 0.561626i | ||||
\(815\) | −1.20253 | −0.0421228 | ||||||||
\(816\) | −3.36366 | + | 6.40305i | −0.117752 | + | 0.224152i | ||||
\(817\) | 1.40035 | + | 2.90785i | 0.0489919 | + | 0.101733i | ||||
\(818\) | 33.3103 | − | 7.29768i | 1.16467 | − | 0.255157i | ||||
\(819\) | −1.14612 | + | 0.0446607i | −0.0400487 | + | 0.00156057i | ||||
\(820\) | 1.83767 | + | 0.0320707i | 0.0641741 | + | 0.00111996i | ||||
\(821\) | −6.36216 | + | 27.8745i | −0.222041 | + | 0.972825i | 0.733898 | + | 0.679260i | \(0.237699\pi\) |
−0.955939 | + | 0.293565i | \(0.905158\pi\) | |||||||
\(822\) | 18.8692 | − | 8.88496i | 0.658139 | − | 0.309899i | ||||
\(823\) | 2.47582 | + | 5.14110i | 0.0863018 | + | 0.179207i | 0.939653 | − | 0.342129i | \(-0.111148\pi\) |
−0.853351 | + | 0.521336i | \(0.825434\pi\) | |||||||
\(824\) | −5.46397 | + | 6.49531i | −0.190347 | + | 0.226275i | ||||
\(825\) | −6.97279 | + | 14.4792i | −0.242762 | + | 0.504100i | ||||
\(826\) | 35.6286 | + | 26.6923i | 1.23968 | + | 0.928743i | ||||
\(827\) | −0.431623 | − | 0.896274i | −0.0150090 | − | 0.0311665i | 0.893330 | − | 0.449402i | \(-0.148363\pi\) |
−0.908339 | + | 0.418236i | \(0.862649\pi\) | |||||||
\(828\) | −17.5471 | + | 3.68411i | −0.609804 | + | 0.128032i | ||||
\(829\) | 39.0363 | − | 8.90979i | 1.35579 | − | 0.309450i | 0.517969 | − | 0.855399i | \(-0.326688\pi\) |
0.837818 | + | 0.545950i | \(0.183831\pi\) | |||||||
\(830\) | −1.74585 | + | 1.36752i | −0.0605994 | + | 0.0474673i | ||||
\(831\) | 5.13678 | − | 6.44132i | 0.178193 | − | 0.223447i | ||||
\(832\) | −1.33922 | − | 3.19917i | −0.0464290 | − | 0.110911i | ||||
\(833\) | −12.5218 | − | 1.84775i | −0.433854 | − | 0.0640206i | ||||
\(834\) | 19.1987 | + | 9.45285i | 0.664797 | + | 0.327325i | ||||
\(835\) | −0.777028 | − | 0.619659i | −0.0268902 | − | 0.0214442i | ||||
\(836\) | −1.83623 | + | 0.385527i | −0.0635075 | + | 0.0133337i | ||||
\(837\) | 0.555542 | + | 2.43399i | 0.0192023 | + | 0.0841309i | ||||
\(838\) | 7.43593 | + | 9.49310i | 0.256870 | + | 0.327934i | ||||
\(839\) | 32.5168 | − | 15.6593i | 1.12260 | − | 0.540618i | 0.221908 | − | 0.975068i | \(-0.428771\pi\) |
0.900696 | + | 0.434450i | \(0.143057\pi\) | |||||||
\(840\) | 0.667238 | − | 0.331889i | 0.0230219 | − | 0.0114512i | ||||
\(841\) | 25.3915 | + | 12.2279i | 0.875569 | + | 0.421652i | ||||
\(842\) | 5.61309 | + | 25.6210i | 0.193440 | + | 0.882957i | ||||
\(843\) | 4.42142 | − | 2.12924i | 0.152282 | − | 0.0733350i | ||||
\(844\) | 0.388787 | − | 22.2777i | 0.0133826 | − | 0.766829i | ||||
\(845\) | −1.24389 | − | 0.283911i | −0.0427912 | − | 0.00976682i | ||||
\(846\) | 8.11146 | − | 3.81945i | 0.278878 | − | 0.131315i | ||||
\(847\) | 1.60492 | − | 0.432700i | 0.0551458 | − | 0.0148678i | ||||
\(848\) | −26.1189 | + | 11.4734i | −0.896928 | + | 0.393997i | ||||
\(849\) | 9.39330 | − | 4.52358i | 0.322377 | − | 0.155249i | ||||
\(850\) | −9.90679 | − | 8.04280i | −0.339800 | − | 0.275866i | ||||
\(851\) | − | 35.1558i | − | 1.20513i | ||||||
\(852\) | −2.83340 | + | 2.17978i | −0.0970708 | + | 0.0746780i | ||||
\(853\) | 32.3036 | + | 7.37308i | 1.10605 | + | 0.252449i | 0.736283 | − | 0.676674i | \(-0.236579\pi\) |
0.369770 | + | 0.929123i | \(0.379436\pi\) | |||||||
\(854\) | 0.477673 | + | 1.83529i | 0.0163456 | + | 0.0628025i | ||||
\(855\) | 0.0282816 | − | 0.00645509i | 0.000967210 | − | 0.000220759i | ||||
\(856\) | 4.34521 | + | 9.66197i | 0.148516 | + | 0.330239i | ||||
\(857\) | −14.5538 | + | 11.6063i | −0.497149 | + | 0.396463i | −0.839712 | − | 0.543031i | \(-0.817276\pi\) |
0.342563 | + | 0.939495i | \(0.388705\pi\) | |||||||
\(858\) | −0.422550 | − | 1.92873i | −0.0144256 | − | 0.0658457i | ||||
\(859\) | −7.34940 | − | 32.1998i | −0.250758 | − | 1.09864i | −0.930817 | − | 0.365486i | \(-0.880903\pi\) |
0.680059 | − | 0.733158i | \(-0.261954\pi\) | |||||||
\(860\) | 1.40575 | − | 1.70100i | 0.0479358 | − | 0.0580037i | ||||
\(861\) | 15.9543 | + | 18.4813i | 0.543722 | + | 0.629843i | ||||
\(862\) | −18.8105 | − | 15.2713i | −0.640689 | − | 0.520142i | ||||
\(863\) | 42.2104i | 1.43686i | 0.695600 | + | 0.718430i | \(0.255139\pi\) | ||||
−0.695600 | + | 0.718430i | \(0.744861\pi\) | |||||||
\(864\) | 3.71652 | − | 4.26468i | 0.126438 | − | 0.145087i | ||||
\(865\) | 0.279652 | − | 1.22523i | 0.00950845 | − | 0.0416592i | ||||
\(866\) | 0.338407 | − | 38.7847i | 0.0114995 | − | 1.31796i | ||||
\(867\) | 8.56078 | + | 10.7349i | 0.290739 | + | 0.364576i | ||||
\(868\) | −10.5032 | − | 8.01280i | −0.356501 | − | 0.271972i | ||||
\(869\) | −8.16110 | + | 10.2337i | −0.276846 | + | 0.347154i | ||||
\(870\) | −0.0988632 | − | 0.0802618i | −0.00335178 | − | 0.00272113i | ||||
\(871\) | 2.04815 | − | 2.56829i | 0.0693988 | − | 0.0870233i | ||||
\(872\) | 11.3024 | + | 14.9598i | 0.382748 | + | 0.506604i | ||||
\(873\) | −3.62507 | + | 2.89090i | −0.122690 | + | 0.0978422i | ||||
\(874\) | 2.90740 | − | 2.27736i | 0.0983444 | − | 0.0770329i | ||||
\(875\) | 0.685182 | + | 2.54140i | 0.0231634 | + | 0.0859150i | ||||
\(876\) | 12.8446 | − | 25.5229i | 0.433977 | − | 0.862339i | ||||
\(877\) | 18.3496 | + | 8.83668i | 0.619621 | + | 0.298394i | 0.717236 | − | 0.696831i | \(-0.245407\pi\) |
−0.0976151 | + | 0.995224i | \(0.531121\pi\) | |||||||
\(878\) | −1.97870 | + | 8.33343i | −0.0667780 | + | 0.281240i | ||||
\(879\) | −3.26043 | + | 6.77036i | −0.109972 | + | 0.228359i | ||||
\(880\) | 0.764363 | + | 1.03027i | 0.0257667 | + | 0.0347306i | ||||
\(881\) | − | 6.56054i | − | 0.221030i | −0.993874 | − | 0.110515i | \(-0.964750\pi\) | ||
0.993874 | − | 0.110515i | \(-0.0352501\pi\) | |||||||
\(882\) | 9.19467 | + | 3.66852i | 0.309601 | + | 0.123526i | ||||
\(883\) | − | 35.2075i | − | 1.18483i | −0.805634 | − | 0.592414i | \(-0.798175\pi\) | ||
0.805634 | − | 0.592414i | \(-0.201825\pi\) | |||||||
\(884\) | 1.56755 | + | 0.0273566i | 0.0527223 | + | 0.000920102i | ||||
\(885\) | 0.514090 | − | 1.06752i | 0.0172810 | − | 0.0358843i | ||||
\(886\) | −31.4368 | − | 7.46440i | −1.05614 | − | 0.250772i | ||||
\(887\) | 13.2686 | + | 6.38984i | 0.445517 | + | 0.214550i | 0.643172 | − | 0.765722i | \(-0.277618\pi\) |
−0.197655 | + | 0.980272i | \(0.563332\pi\) | |||||||
\(888\) | 6.68625 | + | 8.84989i | 0.224376 | + | 0.296983i | ||||
\(889\) | −0.207929 | + | 1.10831i | −0.00697370 | + | 0.0371717i | ||||
\(890\) | 0.338610 | + | 0.432288i | 0.0113502 | + | 0.0144903i | ||||
\(891\) | 2.51790 | − | 2.00796i | 0.0843529 | − | 0.0672692i | ||||
\(892\) | 30.1715 | + | 15.1840i | 1.01022 | + | 0.508398i | ||||
\(893\) | −1.15143 | + | 1.44385i | −0.0385312 | + | 0.0483166i | ||||
\(894\) | 8.29838 | − | 10.2216i | 0.277539 | − | 0.341862i | ||||
\(895\) | −0.0812809 | + | 0.101923i | −0.00271692 | + | 0.00340691i | ||||
\(896\) | −0.662314 | + | 29.9259i | −0.0221264 | + | 0.999755i | ||||
\(897\) | 2.42316 | + | 3.03855i | 0.0809071 | + | 0.101454i | ||||
\(898\) | −45.0773 | − | 0.393311i | −1.50425 | − | 0.0131250i | ||||
\(899\) | −0.502320 | + | 2.20081i | −0.0167533 | + | 0.0734010i | ||||
\(900\) | 6.08543 | + | 7.91020i | 0.202848 | + | 0.263673i | ||||
\(901\) | − | 12.8960i | − | 0.429628i | ||||||
\(902\) | −26.4905 | + | 32.6299i | −0.882037 | + | 1.08646i | ||||
\(903\) | 29.2915 | − | 1.14140i | 0.974761 | − | 0.0379834i | ||||
\(904\) | −8.99206 | + | 4.04394i | −0.299071 | + | 0.134499i | ||||
\(905\) | 0.514631 | + | 2.25475i | 0.0171069 | + | 0.0749503i | ||||
\(906\) | −18.2968 | + | 4.00850i | −0.607870 | + | 0.133173i | ||||
\(907\) | −6.55764 | + | 5.22954i | −0.217743 | + | 0.173644i | −0.726287 | − | 0.687392i | \(-0.758755\pi\) |
0.508544 | + | 0.861036i | \(0.330184\pi\) | |||||||
\(908\) | 16.5353 | − | 20.0082i | 0.548743 | − | 0.663994i | ||||
\(909\) | −10.7716 | + | 2.45854i | −0.357270 | + | 0.0815445i | ||||
\(910\) | −0.129279 | − | 0.0968531i | −0.00428555 | − | 0.00321065i | ||||
\(911\) | −33.3278 | − | 7.60685i | −1.10420 | − | 0.252026i | −0.368697 | − | 0.929550i | \(-0.620196\pi\) |
−0.735501 | + | 0.677524i | \(0.763053\pi\) | |||||||
\(912\) | −0.298761 | + | 1.12624i | −0.00989296 | + | 0.0372937i | ||||
\(913\) | − | 50.7128i | − | 1.67835i | ||||||
\(914\) | 16.8314 | − | 20.7322i | 0.556732 | − | 0.685760i | ||||
\(915\) | 0.0454754 | − | 0.0218998i | 0.00150337 | − | 0.000723985i | ||||
\(916\) | −17.5916 | − | 4.33946i | −0.581243 | − | 0.143380i | ||||
\(917\) | 4.24737 | + | 8.00640i | 0.140260 | + | 0.264395i | ||||
\(918\) | 1.08937 | + | 2.31353i | 0.0359547 | + | 0.0763579i | ||||
\(919\) | −1.62230 | − | 0.370280i | −0.0535148 | − | 0.0122144i | 0.195680 | − | 0.980668i | \(-0.437309\pi\) |
−0.249194 | + | 0.968453i | \(0.580166\pi\) | |||||||
\(920\) | −2.24559 | − | 1.15477i | −0.0740349 | − | 0.0380716i | ||||
\(921\) | −6.48895 | + | 3.12491i | −0.213818 | + | 0.102969i | ||||
\(922\) | 12.5800 | − | 2.75605i | 0.414300 | − | 0.0907656i | ||||
\(923\) | 0.698150 | + | 0.336212i | 0.0229799 | + | 0.0110665i | ||||
\(924\) | −3.43406 | + | 16.6918i | −0.112972 | + | 0.549120i | ||||
\(925\) | −17.6308 | + | 8.49054i | −0.579697 | + | 0.279167i | ||||
\(926\) | 32.1235 | − | 25.1623i | 1.05564 | − | 0.826883i | ||||
\(927\) | 0.667767 | + | 2.92568i | 0.0219323 | + | 0.0960919i | ||||
\(928\) | 4.70078 | − | 2.01619i | 0.154311 | − | 0.0661847i | ||||
\(929\) | 46.8806 | + | 37.3860i | 1.53810 | + | 1.22659i | 0.881327 | + | 0.472507i | \(0.156651\pi\) |
0.656774 | + | 0.754087i | \(0.271920\pi\) | |||||||
\(930\) | −0.155313 | + | 0.315440i | −0.00509291 | + | 0.0103437i | ||||
\(931\) | −2.03291 | + | 0.158673i | −0.0666260 | + | 0.00520030i | ||||
\(932\) | 24.4811 | + | 31.8219i | 0.801904 | + | 1.04236i | ||||
\(933\) | 17.5911 | − | 22.0585i | 0.575906 | − | 0.722163i | ||||
\(934\) | −21.6223 | − | 27.6042i | −0.707505 | − | 0.903239i | ||||
\(935\) | −0.565374 | + | 0.129043i | −0.0184897 | + | 0.00422016i | ||||
\(936\) | −1.18789 | − | 0.304045i | −0.0388274 | − | 0.00993803i | ||||
\(937\) | 16.7293 | + | 34.7387i | 0.546521 | + | 1.13486i | 0.973094 | + | 0.230409i | \(0.0740065\pi\) |
−0.426573 | + | 0.904453i | \(0.640279\pi\) | |||||||
\(938\) | −25.1610 | + | 13.0678i | −0.821535 | + | 0.426678i | ||||
\(939\) | −3.00773 | + | 6.24563i | −0.0981537 | + | 0.203818i | ||||
\(940\) | 1.22593 | + | 0.302409i | 0.0399853 | + | 0.00986350i | ||||
\(941\) | 10.7232 | + | 22.2669i | 0.349565 | + | 0.725880i | 0.999416 | − | 0.0341821i | \(-0.0108826\pi\) |
−0.649850 | + | 0.760062i | \(0.725168\pi\) | |||||||
\(942\) | −12.7764 | − | 27.1336i | −0.416279 | − | 0.884061i | ||||
\(943\) | 18.4088 | − | 80.6540i | 0.599472 | − | 2.62646i | ||||
\(944\) | 28.3567 | + | 38.2217i | 0.922933 | + | 1.24401i | ||||
\(945\) | 0.0485826 | − | 0.258958i | 0.00158039 | − | 0.00842391i | ||||
\(946\) | 10.7992 | + | 49.2928i | 0.351111 | + | 1.60265i | ||||
\(947\) | −5.54762 | − | 11.5198i | −0.180274 | − | 0.374342i | 0.791176 | − | 0.611589i | \(-0.209469\pi\) |
−0.971449 | + | 0.237247i | \(0.923755\pi\) | |||||||
\(948\) | 3.39860 | + | 7.38417i | 0.110381 | + | 0.239827i | ||||
\(949\) | −6.19344 | −0.201048 | ||||||||
\(950\) | −1.84428 | − | 0.908065i | −0.0598363 | − | 0.0294615i | ||||
\(951\) | 3.96119 | − | 17.3551i | 0.128450 | − | 0.562778i | ||||
\(952\) | −12.2653 | − | 5.71483i | −0.397520 | − | 0.185219i | ||||
\(953\) | −7.87104 | − | 34.4853i | −0.254968 | − | 1.11709i | −0.926554 | − | 0.376161i | \(-0.877244\pi\) |
0.671586 | − | 0.740926i | \(-0.265613\pi\) | |||||||
\(954\) | −2.33008 | + | 9.81328i | −0.0754391 | + | 0.317717i | ||||
\(955\) | −0.733984 | − | 0.920386i | −0.0237512 | − | 0.0297830i | ||||
\(956\) | −38.5554 | − | 9.51077i | −1.24697 | − | 0.307600i | ||||
\(957\) | 2.83898 | − | 0.647978i | 0.0917711 | − | 0.0209461i | ||||
\(958\) | 3.94446 | − | 16.6123i | 0.127440 | − | 0.536720i | ||||
\(959\) | 18.2856 | + | 34.4688i | 0.590473 | + | 1.11306i | ||||
\(960\) | 0.784914 | − | 0.136392i | 0.0253330 | − | 0.00440204i | ||||
\(961\) | −24.7671 | −0.798938 | ||||||||
\(962\) | 1.06203 | − | 2.15697i | 0.0342411 | − | 0.0695435i | ||||
\(963\) | 3.65166 | + | 0.833468i | 0.117673 | + | 0.0268581i | ||||
\(964\) | −23.6897 | + | 47.0728i | −0.762994 | + | 1.51611i | ||||
\(965\) | 0.398501 | − | 0.317794i | 0.0128282 | − | 0.0102301i | ||||
\(966\) | −8.44888 | − | 32.4619i | −0.271838 | − | 1.04444i | ||||
\(967\) | 17.1730 | + | 13.6950i | 0.552246 | + | 0.440401i | 0.859433 | − | 0.511248i | \(-0.170816\pi\) |
−0.307188 | + | 0.951649i | \(0.599388\pi\) | |||||||
\(968\) | 1.77639 | + | 0.0465078i | 0.0570953 | + | 0.00149482i | ||||
\(969\) | −0.411811 | − | 0.328409i | −0.0132293 | − | 0.0105500i | ||||
\(970\) | −0.652971 | − | 0.00569735i | −0.0209656 | − | 0.000182931i | ||||
\(971\) | 1.45912 | + | 1.82967i | 0.0468253 | + | 0.0587170i | 0.804693 | − | 0.593692i | \(-0.202330\pi\) |
−0.757867 | + | 0.652409i | \(0.773759\pi\) | |||||||
\(972\) | −0.410951 | − | 1.95732i | −0.0131812 | − | 0.0627812i | ||||
\(973\) | −15.9529 | + | 36.7194i | −0.511428 | + | 1.17717i | ||||
\(974\) | 0.382292 | − | 43.8143i | 0.0122494 | − | 1.40390i | ||||
\(975\) | 0.938624 | − | 1.94907i | 0.0300600 | − | 0.0624203i | ||||
\(976\) | −0.0707415 | + | 2.02614i | −0.00226438 | + | 0.0648552i | ||||
\(977\) | 25.6525 | + | 12.3536i | 0.820695 | + | 0.395226i | 0.796617 | − | 0.604484i | \(-0.206621\pi\) |
0.0240781 | + | 0.999710i | \(0.492335\pi\) | |||||||
\(978\) | −7.27503 | − | 15.4502i | −0.232630 | − | 0.494042i | ||||
\(979\) | −12.5569 | −0.401321 | ||||||||
\(980\) | 0.679687 | + | 1.21728i | 0.0217118 | + | 0.0388846i | ||||
\(981\) | 6.62892 | 0.211645 | ||||||||
\(982\) | 12.8296 | + | 27.2466i | 0.409410 | + | 0.869474i | ||||
\(983\) | −25.8880 | − | 12.4670i | −0.825699 | − | 0.397635i | −0.0271984 | − | 0.999630i | \(-0.508659\pi\) |
−0.798500 | + | 0.601995i | \(0.794373\pi\) | |||||||
\(984\) | 10.7054 | + | 23.8044i | 0.341276 | + | 0.758858i | ||||
\(985\) | −0.885175 | + | 1.83808i | −0.0282040 | + | 0.0585662i | ||||
\(986\) | −0.0201737 | + | 2.31211i | −0.000642463 | + | 0.0736325i | ||||
\(987\) | 7.86058 | + | 14.8174i | 0.250205 | + | 0.471643i | ||||
\(988\) | 0.247180 | − | 0.0518967i | 0.00786383 | − | 0.00165105i | ||||
\(989\) | −61.9291 | − | 77.6566i | −1.96923 | − | 2.46934i | ||||
\(990\) | 0.453540 | + | 0.00395726i | 0.0144145 | + | 0.000125770i | ||||
\(991\) | −45.5654 | − | 36.3372i | −1.44743 | − | 1.15429i | −0.959605 | − | 0.281349i | \(-0.909218\pi\) |
−0.487828 | − | 0.872940i | \(-0.662211\pi\) | |||||||
\(992\) | −8.31550 | − | 11.4152i | −0.264017 | − | 0.362432i | ||||
\(993\) | −6.52133 | − | 5.20059i | −0.206948 | − | 0.165036i | ||||
\(994\) | −4.32596 | − | 5.10046i | −0.137211 | − | 0.161777i | ||||
\(995\) | 1.45841 | − | 1.16305i | 0.0462349 | − | 0.0368711i | ||||
\(996\) | −28.1320 | − | 14.1576i | −0.891396 | − | 0.448600i | ||||
\(997\) | 41.5896 | + | 9.49255i | 1.31716 | + | 0.300632i | 0.822653 | − | 0.568544i | \(-0.192493\pi\) |
0.494503 | + | 0.869176i | \(0.335350\pi\) | |||||||
\(998\) | −2.29952 | + | 4.67033i | −0.0727902 | + | 0.147837i | ||||
\(999\) | 3.92152 | 0.124071 |
(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 | 588.2.x.a.55.4 | ✓ | 168 | |
4.3 | odd | 2 | 588.2.x.b.55.13 | yes | 168 | ||
49.41 | odd | 14 | 588.2.x.b.139.13 | yes | 168 | ||
196.139 | even | 14 | inner | 588.2.x.a.139.4 | yes | 168 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
588.2.x.a.55.4 | ✓ | 168 | 1.1 | even | 1 | trivial | |
588.2.x.a.139.4 | yes | 168 | 196.139 | even | 14 | inner | |
588.2.x.b.55.13 | yes | 168 | 4.3 | odd | 2 | ||
588.2.x.b.139.13 | yes | 168 | 49.41 | odd | 14 |