Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [400,2,Mod(29,400)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(400, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([0, 15, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("400.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 400 = 2^{4} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 400.bl (of order \(20\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.19401608085\) |
Analytic rank: | \(0\) |
Dimension: | \(464\) |
Relative dimension: | \(58\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 189.14 | ||
Character | \(\chi\) | \(=\) | 400.189 |
Dual form | 400.2.bl.a.309.14 |
$q$-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 \(\left(\mathbb{Z}/400\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(177\) | \(351\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{3}{10}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.09102 | + | 0.899821i | −0.771467 | + | 0.636269i | ||||
\(3\) | 1.16138 | + | 2.27933i | 0.670522 | + | 1.31597i | 0.936049 | + | 0.351870i | \(0.114454\pi\) |
−0.265527 | + | 0.964103i | \(0.585546\pi\) | |||||||
\(4\) | 0.380645 | − | 1.96344i | 0.190322 | − | 0.981722i | ||||
\(5\) | 0.211114 | + | 2.22608i | 0.0944129 | + | 0.995533i | ||||
\(6\) | −3.31808 | − | 1.44176i | −1.35460 | − | 0.588597i | ||||
\(7\) | 0.405092 | 0.153110 | 0.0765552 | − | 0.997065i | \(-0.475608\pi\) | ||||
0.0765552 | + | 0.997065i | \(0.475608\pi\) | |||||||
\(8\) | 1.35146 | + | 2.48467i | 0.477812 | + | 0.878462i | ||||
\(9\) | −2.08320 | + | 2.86728i | −0.694400 | + | 0.955760i | ||||
\(10\) | −2.23340 | − | 2.23873i | −0.706264 | − | 0.707949i | ||||
\(11\) | −0.148300 | + | 0.936329i | −0.0447141 | + | 0.282314i | −0.999907 | − | 0.0136717i | \(-0.995648\pi\) |
0.955192 | + | 0.295986i | \(0.0956480\pi\) | |||||||
\(12\) | 4.91741 | − | 1.41268i | 1.41953 | − | 0.407806i | ||||
\(13\) | −1.95740 | + | 0.310022i | −0.542885 | + | 0.0859846i | −0.421854 | − | 0.906664i | \(-0.638620\pi\) |
−0.121032 | + | 0.992649i | \(0.538620\pi\) | |||||||
\(14\) | −0.441963 | + | 0.364510i | −0.118120 | + | 0.0974194i | ||||
\(15\) | −4.82879 | + | 3.06652i | −1.24679 | + | 0.791771i | ||||
\(16\) | −3.71022 | − | 1.49475i | −0.927555 | − | 0.373687i | ||||
\(17\) | 3.96184 | − | 1.28728i | 0.960886 | − | 0.312211i | 0.213755 | − | 0.976887i | \(-0.431431\pi\) |
0.747131 | + | 0.664676i | \(0.231431\pi\) | |||||||
\(18\) | −0.307227 | − | 5.00277i | −0.0724140 | − | 1.17916i | ||||
\(19\) | −2.51737 | + | 4.94061i | −0.577523 | + | 1.13345i | 0.398780 | + | 0.917047i | \(0.369434\pi\) |
−0.976303 | + | 0.216407i | \(0.930566\pi\) | |||||||
\(20\) | 4.45114 | + | 0.432836i | 0.995305 | + | 0.0967851i | ||||
\(21\) | 0.470465 | + | 0.923339i | 0.102664 | + | 0.201489i | ||||
\(22\) | −0.680731 | − | 1.15500i | −0.145132 | − | 0.246246i | ||||
\(23\) | 4.30446 | − | 3.12737i | 0.897542 | − | 0.652102i | −0.0402917 | − | 0.999188i | \(-0.512829\pi\) |
0.937833 | + | 0.347086i | \(0.112829\pi\) | |||||||
\(24\) | −4.09383 | + | 5.96605i | −0.835649 | + | 1.21782i | ||||
\(25\) | −4.91086 | + | 0.939912i | −0.982172 | + | 0.187982i | ||||
\(26\) | 1.85660 | − | 2.09955i | 0.364109 | − | 0.411756i | ||||
\(27\) | −1.37489 | − | 0.217761i | −0.264598 | − | 0.0419082i | ||||
\(28\) | 0.154196 | − | 0.795375i | 0.0291403 | − | 0.150312i | ||||
\(29\) | −4.08194 | + | 2.07985i | −0.757997 | + | 0.386219i | −0.789871 | − | 0.613273i | \(-0.789852\pi\) |
0.0318740 | + | 0.999492i | \(0.489852\pi\) | |||||||
\(30\) | 2.50899 | − | 7.69068i | 0.458076 | − | 1.40412i | ||||
\(31\) | −0.642556 | − | 1.97758i | −0.115406 | − | 0.355184i | 0.876625 | − | 0.481174i | \(-0.159789\pi\) |
−0.992032 | + | 0.125990i | \(0.959789\pi\) | |||||||
\(32\) | 5.39293 | − | 1.70773i | 0.953344 | − | 0.301887i | ||||
\(33\) | −2.30644 | + | 0.749407i | −0.401499 | + | 0.130455i | ||||
\(34\) | −3.16412 | + | 4.96939i | −0.542642 | + | 0.852243i | ||||
\(35\) | 0.0855204 | + | 0.901767i | 0.0144556 | + | 0.152426i | ||||
\(36\) | 4.83678 | + | 5.18166i | 0.806131 | + | 0.863611i | ||||
\(37\) | −1.08298 | − | 6.83767i | −0.178041 | − | 1.12411i | −0.901193 | − | 0.433418i | \(-0.857308\pi\) |
0.723152 | − | 0.690689i | \(-0.242692\pi\) | |||||||
\(38\) | −1.69917 | − | 7.65547i | −0.275641 | − | 1.24188i | ||||
\(39\) | −2.97993 | − | 4.10152i | −0.477170 | − | 0.656768i | ||||
\(40\) | −5.24575 | + | 3.53300i | −0.829427 | + | 0.558616i | ||||
\(41\) | 6.12796 | − | 8.43441i | 0.957026 | − | 1.31723i | 0.00869110 | − | 0.999962i | \(-0.497234\pi\) |
0.948335 | − | 0.317271i | \(-0.102766\pi\) | |||||||
\(42\) | −1.34413 | − | 0.584046i | −0.207403 | − | 0.0901203i | ||||
\(43\) | 4.87314 | + | 4.87314i | 0.743148 | + | 0.743148i | 0.973182 | − | 0.230035i | \(-0.0738840\pi\) |
−0.230035 | + | 0.973182i | \(0.573884\pi\) | |||||||
\(44\) | 1.78198 | + | 0.647588i | 0.268644 | + | 0.0976275i | ||||
\(45\) | −6.82259 | − | 4.03205i | −1.01705 | − | 0.601063i | ||||
\(46\) | −1.88217 | + | 7.28526i | −0.277511 | + | 1.07415i | ||||
\(47\) | 0.222136 | + | 0.0721764i | 0.0324019 | + | 0.0105280i | 0.325173 | − | 0.945655i | \(-0.394577\pi\) |
−0.292771 | + | 0.956183i | \(0.594577\pi\) | |||||||
\(48\) | −0.901935 | − | 10.1928i | −0.130183 | − | 1.47120i | ||||
\(49\) | −6.83590 | −0.976557 | ||||||||
\(50\) | 4.51209 | − | 5.44436i | 0.638106 | − | 0.769948i | ||||
\(51\) | 7.53532 | + | 7.53532i | 1.05516 | + | 1.05516i | ||||
\(52\) | −0.136364 | + | 3.96125i | −0.0189103 | + | 0.549327i | ||||
\(53\) | −6.20472 | + | 3.16146i | −0.852284 | + | 0.434260i | −0.824842 | − | 0.565363i | \(-0.808736\pi\) |
−0.0274419 | + | 0.999623i | \(0.508736\pi\) | |||||||
\(54\) | 1.69598 | − | 0.999574i | 0.230794 | − | 0.136025i | ||||
\(55\) | −2.11565 | − | 0.132456i | −0.285274 | − | 0.0178603i | ||||
\(56\) | 0.547464 | + | 1.00652i | 0.0731579 | + | 0.134502i | ||||
\(57\) | −14.1849 | −1.87884 | ||||||||
\(58\) | 2.58198 | − | 5.94217i | 0.339030 | − | 0.780245i | ||||
\(59\) | −3.94820 | + | 0.625333i | −0.514011 | + | 0.0814114i | −0.408051 | − | 0.912959i | \(-0.633792\pi\) |
−0.105960 | + | 0.994370i | \(0.533792\pi\) | |||||||
\(60\) | 4.18288 | + | 10.6483i | 0.540007 | + | 1.37469i | ||||
\(61\) | −4.88906 | − | 0.774351i | −0.625980 | − | 0.0991455i | −0.164618 | − | 0.986357i | \(-0.552639\pi\) |
−0.461362 | + | 0.887212i | \(0.652639\pi\) | |||||||
\(62\) | 2.48051 | + | 1.57940i | 0.315025 | + | 0.200583i | ||||
\(63\) | −0.843888 | + | 1.16151i | −0.106320 | + | 0.146337i | ||||
\(64\) | −4.34713 | + | 6.71584i | −0.543391 | + | 0.839479i | ||||
\(65\) | −1.10337 | − | 4.29188i | −0.136856 | − | 0.532342i | ||||
\(66\) | 1.84204 | − | 2.89300i | 0.226739 | − | 0.356103i | ||||
\(67\) | 9.11255 | + | 4.64308i | 1.11328 | + | 0.567242i | 0.911132 | − | 0.412114i | \(-0.135209\pi\) |
0.202143 | + | 0.979356i | \(0.435209\pi\) | |||||||
\(68\) | −1.01945 | − | 8.26884i | −0.123626 | − | 1.00274i | ||||
\(69\) | 12.1274 | + | 6.17923i | 1.45997 | + | 0.743892i | ||||
\(70\) | −0.904733 | − | 0.906892i | −0.108136 | − | 0.108394i | ||||
\(71\) | 8.84689 | + | 2.87453i | 1.04993 | + | 0.341144i | 0.782642 | − | 0.622472i | \(-0.213872\pi\) |
0.267291 | + | 0.963616i | \(0.413872\pi\) | |||||||
\(72\) | −9.93959 | − | 1.30106i | −1.17139 | − | 0.153331i | ||||
\(73\) | 2.31377 | − | 1.68105i | 0.270806 | − | 0.196752i | −0.444091 | − | 0.895982i | \(-0.646473\pi\) |
0.714897 | + | 0.699229i | \(0.246473\pi\) | |||||||
\(74\) | 7.33423 | + | 6.48554i | 0.852587 | + | 0.753929i | ||||
\(75\) | −7.84574 | − | 10.1019i | −0.905948 | − | 1.16647i | ||||
\(76\) | 8.74238 | + | 6.82332i | 1.00282 | + | 0.782689i | ||||
\(77\) | −0.0600751 | + | 0.379299i | −0.00684619 | + | 0.0432252i | ||||
\(78\) | 6.94178 | + | 1.79343i | 0.786002 | + | 0.203066i | ||||
\(79\) | 3.24609 | − | 9.99044i | 0.365214 | − | 1.12401i | −0.584633 | − | 0.811298i | \(-0.698762\pi\) |
0.949847 | − | 0.312715i | \(-0.101238\pi\) | |||||||
\(80\) | 2.54415 | − | 8.57481i | 0.284445 | − | 0.958692i | ||||
\(81\) | 2.18519 | + | 6.72533i | 0.242799 | + | 0.747259i | ||||
\(82\) | 0.903739 | + | 14.7162i | 0.0998013 | + | 1.62513i | ||||
\(83\) | 15.9875 | + | 8.14604i | 1.75486 | + | 0.894144i | 0.956383 | + | 0.292115i | \(0.0943590\pi\) |
0.798474 | + | 0.602029i | \(0.205641\pi\) | |||||||
\(84\) | 1.99200 | − | 0.572266i | 0.217345 | − | 0.0624394i | ||||
\(85\) | 3.70198 | + | 8.54760i | 0.401536 | + | 0.927117i | ||||
\(86\) | −9.70165 | − | 0.931736i | −1.04616 | − | 0.100472i | ||||
\(87\) | −9.48134 | − | 6.88860i | −1.01651 | − | 0.738535i | ||||
\(88\) | −2.52689 | + | 0.896932i | −0.269367 | + | 0.0956133i | ||||
\(89\) | 8.28690 | + | 11.4059i | 0.878410 | + | 1.20903i | 0.976859 | + | 0.213885i | \(0.0686118\pi\) |
−0.0984492 | + | 0.995142i | \(0.531388\pi\) | |||||||
\(90\) | 11.0717 | − | 1.74006i | 1.16706 | − | 0.183419i | ||||
\(91\) | −0.792927 | + | 0.125587i | −0.0831214 | + | 0.0131651i | ||||
\(92\) | −4.50195 | − | 9.64198i | −0.469360 | − | 1.00525i | ||||
\(93\) | 3.76132 | − | 3.76132i | 0.390031 | − | 0.390031i | ||||
\(94\) | −0.307301 | + | 0.121137i | −0.0316956 | + | 0.0124943i | ||||
\(95\) | −11.5296 | − | 4.56083i | −1.18292 | − | 0.467931i | ||||
\(96\) | 10.1557 | + | 10.3089i | 1.03651 | + | 1.05215i | ||||
\(97\) | 4.21925 | + | 1.37092i | 0.428400 | + | 0.139195i | 0.515277 | − | 0.857024i | \(-0.327689\pi\) |
−0.0868777 | + | 0.996219i | \(0.527689\pi\) | |||||||
\(98\) | 7.45810 | − | 6.15109i | 0.753382 | − | 0.621353i | ||||
\(99\) | −2.37578 | − | 2.37578i | −0.238775 | − | 0.238775i | ||||
\(100\) | −0.0238316 | + | 9.99997i | −0.00238316 | + | 0.999997i | ||||
\(101\) | 6.12879 | − | 6.12879i | 0.609838 | − | 0.609838i | −0.333066 | − | 0.942904i | \(-0.608083\pi\) |
0.942904 | + | 0.333066i | \(0.108083\pi\) | |||||||
\(102\) | −15.0016 | − | 1.44074i | −1.48538 | − | 0.142655i | ||||
\(103\) | 3.78362 | − | 11.6448i | 0.372812 | − | 1.14740i | −0.572132 | − | 0.820162i | \(-0.693883\pi\) |
0.944943 | − | 0.327234i | \(-0.106117\pi\) | |||||||
\(104\) | −3.41564 | − | 4.44451i | −0.334931 | − | 0.435820i | ||||
\(105\) | −1.95610 | + | 1.24222i | −0.190896 | + | 0.121228i | ||||
\(106\) | 3.92472 | − | 9.03236i | 0.381202 | − | 0.877300i | ||||
\(107\) | 0.869482 | + | 0.869482i | 0.0840560 | + | 0.0840560i | 0.747885 | − | 0.663829i | \(-0.231070\pi\) |
−0.663829 | + | 0.747885i | \(0.731070\pi\) | |||||||
\(108\) | −0.950908 | + | 2.61663i | −0.0915011 | + | 0.251786i | ||||
\(109\) | −0.848242 | − | 5.35559i | −0.0812468 | − | 0.512972i | −0.994428 | − | 0.105418i | \(-0.966382\pi\) |
0.913181 | − | 0.407554i | \(-0.133618\pi\) | |||||||
\(110\) | 2.42740 | − | 1.75920i | 0.231444 | − | 0.167733i | ||||
\(111\) | 14.3276 | − | 10.4096i | 1.35991 | − | 0.988035i | ||||
\(112\) | −1.50298 | − | 0.605511i | −0.142018 | − | 0.0572154i | ||||
\(113\) | −10.7091 | + | 14.7398i | −1.00742 | + | 1.38660i | −0.0867654 | + | 0.996229i | \(0.527653\pi\) |
−0.920658 | + | 0.390370i | \(0.872347\pi\) | |||||||
\(114\) | 15.4760 | − | 12.7639i | 1.44946 | − | 1.19545i | ||||
\(115\) | 7.87051 | + | 8.92184i | 0.733929 | + | 0.831966i | ||||
\(116\) | 2.52990 | + | 8.80634i | 0.234895 | + | 0.817648i | ||||
\(117\) | 3.18874 | − | 6.25826i | 0.294799 | − | 0.578576i | ||||
\(118\) | 3.74487 | − | 4.23492i | 0.344743 | − | 0.389856i | ||||
\(119\) | 1.60491 | − | 0.521466i | 0.147122 | − | 0.0478027i | ||||
\(120\) | −14.1452 | − | 7.85367i | −1.29127 | − | 0.716939i | ||||
\(121\) | 9.60690 | + | 3.12147i | 0.873355 | + | 0.283770i | ||||
\(122\) | 6.03083 | − | 3.55445i | 0.546006 | − | 0.321804i | ||||
\(123\) | 26.3417 | + | 4.17211i | 2.37515 | + | 0.376187i | ||||
\(124\) | −4.12746 | + | 0.508865i | −0.370657 | + | 0.0456974i | ||||
\(125\) | −3.12907 | − | 10.7335i | −0.279872 | − | 0.960037i | ||||
\(126\) | −0.124455 | − | 2.02658i | −0.0110873 | − | 0.180542i | ||||
\(127\) | 7.63372 | + | 10.5069i | 0.677383 | + | 0.932338i | 0.999899 | − | 0.0142262i | \(-0.00452850\pi\) |
−0.322516 | + | 0.946564i | \(0.604529\pi\) | |||||||
\(128\) | −1.30025 | − | 11.2387i | −0.114927 | − | 0.993374i | ||||
\(129\) | −5.44795 | + | 16.7671i | −0.479666 | + | 1.47626i | ||||
\(130\) | 5.06572 | + | 3.68969i | 0.444293 | + | 0.323607i | ||||
\(131\) | 2.61904 | − | 5.14015i | 0.228826 | − | 0.449097i | −0.747834 | − | 0.663886i | \(-0.768906\pi\) |
0.976661 | + | 0.214788i | \(0.0689062\pi\) | |||||||
\(132\) | 0.593484 | + | 4.81382i | 0.0516562 | + | 0.418989i | ||||
\(133\) | −1.01976 | + | 2.00140i | −0.0884248 | + | 0.173543i | ||||
\(134\) | −14.1199 | + | 3.13398i | −1.21977 | + | 0.270735i | ||||
\(135\) | 0.194496 | − | 3.10659i | 0.0167395 | − | 0.267373i | ||||
\(136\) | 8.55271 | + | 8.10414i | 0.733388 | + | 0.694924i | ||||
\(137\) | −6.70036 | − | 4.86809i | −0.572450 | − | 0.415909i | 0.263544 | − | 0.964647i | \(-0.415108\pi\) |
−0.835994 | + | 0.548738i | \(0.815108\pi\) | |||||||
\(138\) | −18.7914 | + | 4.17085i | −1.59963 | + | 0.355046i | ||||
\(139\) | 1.50503 | − | 9.50236i | 0.127655 | − | 0.805980i | −0.837909 | − | 0.545811i | \(-0.816222\pi\) |
0.965563 | − | 0.260169i | \(-0.0837782\pi\) | |||||||
\(140\) | 1.80312 | + | 0.175338i | 0.152392 | + | 0.0148188i | ||||
\(141\) | 0.0934700 | + | 0.590146i | 0.00787159 | + | 0.0496993i | ||||
\(142\) | −12.2387 | + | 4.82445i | −1.02705 | + | 0.404859i | ||||
\(143\) | − | 1.87875i | − | 0.157109i | ||||||
\(144\) | 12.0150 | − | 7.52438i | 1.00125 | − | 0.627031i | ||||
\(145\) | −5.49167 | − | 8.64763i | −0.456058 | − | 0.718147i | ||||
\(146\) | −1.01172 | + | 3.91603i | −0.0837305 | + | 0.324093i | ||||
\(147\) | −7.93906 | − | 15.5813i | −0.654803 | − | 1.28512i | ||||
\(148\) | −13.8376 | − | 0.476354i | −1.13744 | − | 0.0391560i | ||||
\(149\) | 4.34620 | − | 4.34620i | 0.356055 | − | 0.356055i | −0.506302 | − | 0.862356i | \(-0.668988\pi\) |
0.862356 | + | 0.506302i | \(0.168988\pi\) | |||||||
\(150\) | 17.6497 | + | 3.96160i | 1.44110 | + | 0.323463i | ||||
\(151\) | 8.80488i | 0.716531i | 0.933620 | + | 0.358266i | \(0.116632\pi\) | ||||
−0.933620 | + | 0.358266i | \(0.883368\pi\) | |||||||
\(152\) | −15.6779 | + | 0.422203i | −1.27164 | + | 0.0342452i | ||||
\(153\) | −4.56231 | + | 14.0414i | −0.368841 | + | 1.13518i | ||||
\(154\) | −0.275758 | − | 0.467880i | −0.0222212 | − | 0.0377028i | ||||
\(155\) | 4.26660 | − | 1.84787i | 0.342702 | − | 0.148425i | ||||
\(156\) | −9.18739 | + | 4.28969i | −0.735580 | + | 0.343450i | ||||
\(157\) | −7.40397 | + | 7.40397i | −0.590901 | + | 0.590901i | −0.937875 | − | 0.346974i | \(-0.887209\pi\) |
0.346974 | + | 0.937875i | \(0.387209\pi\) | |||||||
\(158\) | 5.44806 | + | 13.8207i | 0.433424 | + | 1.09951i | ||||
\(159\) | −14.4121 | − | 10.4710i | −1.14295 | − | 0.830402i | ||||
\(160\) | 4.94007 | + | 11.6446i | 0.390547 | + | 0.920583i | ||||
\(161\) | 1.74370 | − | 1.26687i | 0.137423 | − | 0.0998436i | ||||
\(162\) | −8.43568 | − | 5.37118i | −0.662770 | − | 0.422000i | ||||
\(163\) | −9.40244 | + | 1.48920i | −0.736456 | + | 0.116643i | −0.513384 | − | 0.858159i | \(-0.671608\pi\) |
−0.223072 | + | 0.974802i | \(0.571608\pi\) | |||||||
\(164\) | −14.2279 | − | 15.2424i | −1.11101 | − | 1.19023i | ||||
\(165\) | −2.15516 | − | 4.97610i | −0.167779 | − | 0.387389i | ||||
\(166\) | −24.7727 | + | 5.49841i | −1.92273 | + | 0.426759i | ||||
\(167\) | 7.84336 | + | 24.1394i | 0.606937 | + | 1.86796i | 0.482883 | + | 0.875685i | \(0.339590\pi\) |
0.124054 | + | 0.992275i | \(0.460410\pi\) | |||||||
\(168\) | −1.65838 | + | 2.41680i | −0.127947 | + | 0.186460i | ||||
\(169\) | −8.62843 | + | 2.80355i | −0.663725 | + | 0.215657i | ||||
\(170\) | −11.7302 | − | 5.99447i | −0.899668 | − | 0.459755i | ||||
\(171\) | −8.92193 | − | 17.5103i | −0.682277 | − | 1.33904i | ||||
\(172\) | 11.4231 | − | 7.71320i | 0.871002 | − | 0.588126i | ||||
\(173\) | 0.704613 | − | 4.44875i | 0.0535707 | − | 0.338232i | −0.946317 | − | 0.323240i | \(-0.895228\pi\) |
0.999888 | − | 0.0149919i | \(-0.00477223\pi\) | |||||||
\(174\) | 16.5428 | − | 1.01592i | 1.25411 | − | 0.0770165i | ||||
\(175\) | −1.98935 | + | 0.380751i | −0.150381 | + | 0.0287820i | ||||
\(176\) | 1.94980 | − | 3.25232i | 0.146972 | − | 0.245152i | ||||
\(177\) | −6.01069 | − | 8.27301i | −0.451791 | − | 0.621837i | ||||
\(178\) | −19.3045 | − | 4.98737i | −1.44693 | − | 0.373819i | ||||
\(179\) | 4.93782 | − | 2.51594i | 0.369070 | − | 0.188051i | −0.259612 | − | 0.965713i | \(-0.583595\pi\) |
0.628682 | + | 0.777662i | \(0.283595\pi\) | |||||||
\(180\) | −10.5137 | + | 11.8610i | −0.783644 | + | 0.884066i | ||||
\(181\) | −19.0719 | − | 9.71762i | −1.41760 | − | 0.722305i | −0.433709 | − | 0.901053i | \(-0.642795\pi\) |
−0.983895 | + | 0.178748i | \(0.942795\pi\) | |||||||
\(182\) | 0.752093 | − | 0.850511i | 0.0557488 | − | 0.0630440i | ||||
\(183\) | −3.91304 | − | 12.0431i | −0.289260 | − | 0.890252i | ||||
\(184\) | 13.5878 | + | 6.46864i | 1.00170 | + | 0.476874i | ||||
\(185\) | 14.9926 | − | 3.85433i | 1.10228 | − | 0.283376i | ||||
\(186\) | −0.719157 | + | 7.48818i | −0.0527312 | + | 0.549060i | ||||
\(187\) | 0.617776 | + | 3.90049i | 0.0451763 | + | 0.285232i | ||||
\(188\) | 0.226269 | − | 0.408678i | 0.0165024 | − | 0.0298059i | ||||
\(189\) | −0.556957 | − | 0.0882134i | −0.0405127 | − | 0.00641658i | ||||
\(190\) | 16.6830 | − | 5.39866i | 1.21031 | − | 0.391660i | ||||
\(191\) | −18.6703 | − | 13.5648i | −1.35094 | − | 0.981513i | −0.998964 | − | 0.0455020i | \(-0.985511\pi\) |
−0.351972 | − | 0.936011i | \(-0.614489\pi\) | |||||||
\(192\) | −20.3563 | − | 2.10894i | −1.46909 | − | 0.152199i | ||||
\(193\) | − | 14.2271i | − | 1.02409i | −0.858959 | − | 0.512045i | \(-0.828888\pi\) | ||
0.858959 | − | 0.512045i | \(-0.171112\pi\) | |||||||
\(194\) | −5.83686 | + | 2.30087i | −0.419062 | + | 0.165193i | ||||
\(195\) | 8.50120 | − | 7.49944i | 0.608783 | − | 0.537046i | ||||
\(196\) | −2.60205 | + | 13.4219i | −0.185861 | + | 0.958707i | ||||
\(197\) | 23.1845 | − | 11.8131i | 1.65183 | − | 0.841649i | 0.655579 | − | 0.755127i | \(-0.272425\pi\) |
0.996250 | − | 0.0865221i | \(-0.0275753\pi\) | |||||||
\(198\) | 4.72980 | + | 0.454245i | 0.336132 | + | 0.0322818i | ||||
\(199\) | 14.2961i | 1.01343i | 0.862115 | + | 0.506713i | \(0.169140\pi\) | ||||
−0.862115 | + | 0.506713i | \(0.830860\pi\) | |||||||
\(200\) | −8.97218 | − | 10.9316i | −0.634429 | − | 0.772981i | ||||
\(201\) | 26.1629i | 1.84539i | ||||||||
\(202\) | −1.17181 | + | 12.2014i | −0.0824486 | + | 0.858491i | ||||
\(203\) | −1.65356 | + | 0.842531i | −0.116057 | + | 0.0591341i | ||||
\(204\) | 17.6635 | − | 11.9269i | 1.23669 | − | 0.835050i | ||||
\(205\) | 20.0694 | + | 11.8607i | 1.40170 | + | 0.828387i | ||||
\(206\) | 6.35023 | + | 16.1093i | 0.442441 | + | 1.12239i | ||||
\(207\) | 18.8570i | 1.31065i | ||||||||
\(208\) | 7.72579 | + | 1.77558i | 0.535687 | + | 0.123114i | ||||
\(209\) | −4.25271 | − | 3.08977i | −0.294166 | − | 0.213724i | ||||
\(210\) | 1.01637 | − | 3.11543i | 0.0701362 | − | 0.214985i | ||||
\(211\) | −12.1543 | − | 1.92506i | −0.836740 | − | 0.132527i | −0.276663 | − | 0.960967i | \(-0.589228\pi\) |
−0.560077 | + | 0.828441i | \(0.689228\pi\) | |||||||
\(212\) | 3.84556 | + | 13.3860i | 0.264114 | + | 0.919355i | ||||
\(213\) | 3.72258 | + | 23.5034i | 0.255067 | + | 1.61043i | ||||
\(214\) | −1.73100 | − | 0.166243i | −0.118329 | − | 0.0113642i | ||||
\(215\) | −9.81922 | + | 11.8768i | −0.669665 | + | 0.809991i | ||||
\(216\) | −1.31704 | − | 3.71044i | −0.0896133 | − | 0.252464i | ||||
\(217\) | −0.260294 | − | 0.801103i | −0.0176699 | − | 0.0543824i | ||||
\(218\) | 5.74452 | + | 5.07978i | 0.389068 | + | 0.344046i | ||||
\(219\) | 6.51883 | + | 3.32151i | 0.440502 | + | 0.224447i | ||||
\(220\) | −1.06538 | + | 4.10354i | −0.0718280 | + | 0.276661i | ||||
\(221\) | −7.35582 | + | 3.74798i | −0.494806 | + | 0.252116i | ||||
\(222\) | −6.26489 | + | 24.2493i | −0.420472 | + | 1.62751i | ||||
\(223\) | −4.43355 | − | 6.10226i | −0.296892 | − | 0.408637i | 0.634345 | − | 0.773050i | \(-0.281270\pi\) |
−0.931238 | + | 0.364413i | \(0.881270\pi\) | |||||||
\(224\) | 2.18463 | − | 0.691788i | 0.145967 | − | 0.0462221i | ||||
\(225\) | 7.53532 | − | 16.0388i | 0.502355 | − | 1.06926i | ||||
\(226\) | −1.57935 | − | 25.7176i | −0.105057 | − | 1.71071i | ||||
\(227\) | 1.85281 | − | 11.6982i | 0.122975 | − | 0.776435i | −0.846706 | − | 0.532061i | \(-0.821418\pi\) |
0.969681 | − | 0.244374i | \(-0.0785823\pi\) | |||||||
\(228\) | −5.39941 | + | 27.8512i | −0.357585 | + | 1.84449i | ||||
\(229\) | −3.06906 | − | 6.02337i | −0.202809 | − | 0.398036i | 0.767091 | − | 0.641538i | \(-0.221704\pi\) |
−0.969900 | + | 0.243503i | \(0.921704\pi\) | |||||||
\(230\) | −16.6149 | − | 2.65184i | −1.09556 | − | 0.174857i | ||||
\(231\) | −0.934319 | + | 0.303579i | −0.0614737 | + | 0.0199740i | ||||
\(232\) | −10.6843 | − | 7.33142i | −0.701458 | − | 0.481332i | ||||
\(233\) | −5.66653 | − | 17.4398i | −0.371227 | − | 1.14252i | −0.945989 | − | 0.324198i | \(-0.894905\pi\) |
0.574762 | − | 0.818320i | \(-0.305095\pi\) | |||||||
\(234\) | 2.15233 | + | 9.69717i | 0.140702 | + | 0.633924i | ||||
\(235\) | −0.113775 | + | 0.509730i | −0.00742183 | + | 0.0332511i | ||||
\(236\) | −0.275055 | + | 7.99009i | −0.0179046 | + | 0.520111i | ||||
\(237\) | 26.5415 | − | 4.20376i | 1.72405 | − | 0.273063i | ||||
\(238\) | −1.28176 | + | 2.01306i | −0.0830841 | + | 0.130487i | ||||
\(239\) | −6.99174 | + | 5.07980i | −0.452258 | + | 0.328585i | −0.790487 | − | 0.612479i | \(-0.790172\pi\) |
0.338229 | + | 0.941064i | \(0.390172\pi\) | |||||||
\(240\) | 22.4996 | − | 4.15962i | 1.45234 | − | 0.268502i | ||||
\(241\) | −16.1027 | − | 11.6993i | −1.03727 | − | 0.753617i | −0.0675154 | − | 0.997718i | \(-0.521507\pi\) |
−0.969750 | + | 0.244101i | \(0.921507\pi\) | |||||||
\(242\) | −13.2901 | + | 5.23891i | −0.854319 | + | 0.336770i | ||||
\(243\) | −15.7444 | + | 15.7444i | −1.01000 | + | 1.01000i | ||||
\(244\) | −3.38139 | + | 9.30464i | −0.216471 | + | 0.595668i | ||||
\(245\) | −1.44315 | − | 15.2173i | −0.0921996 | − | 0.972195i | ||||
\(246\) | −32.4934 | + | 19.1509i | −2.07171 | + | 1.22102i | ||||
\(247\) | 3.39580 | − | 10.4512i | 0.216069 | − | 0.664993i | ||||
\(248\) | 4.04525 | − | 4.26915i | 0.256873 | − | 0.271091i | ||||
\(249\) | 45.9015i | 2.90889i | ||||||||
\(250\) | 13.0721 | + | 8.89490i | 0.826755 | + | 0.562563i | ||||
\(251\) | −1.97890 | + | 1.97890i | −0.124907 | + | 0.124907i | −0.766797 | − | 0.641890i | \(-0.778151\pi\) |
0.641890 | + | 0.766797i | \(0.278151\pi\) | |||||||
\(252\) | 1.95934 | + | 2.09905i | 0.123427 | + | 0.132228i | ||||
\(253\) | 2.28990 | + | 4.49418i | 0.143965 | + | 0.282547i | ||||
\(254\) | −17.7829 | − | 4.59426i | −1.11580 | − | 0.288270i | ||||
\(255\) | −15.1834 | + | 18.3650i | −0.950823 | + | 1.15006i | ||||
\(256\) | 11.5314 | + | 11.0917i | 0.720716 | + | 0.693231i | ||||
\(257\) | − | 8.08525i | − | 0.504344i | −0.967682 | − | 0.252172i | \(-0.918855\pi\) | ||
0.967682 | − | 0.252172i | \(-0.0811448\pi\) | |||||||
\(258\) | −9.14354 | − | 23.1954i | −0.569252 | − | 1.44408i | ||||
\(259\) | −0.438707 | − | 2.76988i | −0.0272599 | − | 0.172112i | ||||
\(260\) | −8.84686 | + | 0.532717i | −0.548659 | + | 0.0330377i | ||||
\(261\) | 2.53998 | − | 16.0368i | 0.157221 | − | 0.992654i | ||||
\(262\) | 1.76780 | + | 7.96467i | 0.109215 | + | 0.492059i | ||||
\(263\) | 5.36648 | + | 3.89898i | 0.330912 | + | 0.240421i | 0.740817 | − | 0.671707i | \(-0.234438\pi\) |
−0.409906 | + | 0.912128i | \(0.634438\pi\) | |||||||
\(264\) | −4.97908 | − | 4.71794i | −0.306441 | − | 0.290369i | ||||
\(265\) | −8.34757 | − | 13.1448i | −0.512787 | − | 0.807477i | ||||
\(266\) | −0.688319 | − | 3.10117i | −0.0422036 | − | 0.190145i | ||||
\(267\) | −16.3737 | + | 32.1352i | −1.00205 | + | 1.96664i | ||||
\(268\) | 12.5851 | − | 16.1246i | 0.768755 | − | 0.984968i | ||||
\(269\) | −0.350478 | + | 0.687852i | −0.0213690 | + | 0.0419391i | −0.901444 | − | 0.432895i | \(-0.857492\pi\) |
0.880075 | + | 0.474834i | \(0.157492\pi\) | |||||||
\(270\) | 2.58318 | + | 3.56436i | 0.157207 | + | 0.216920i | ||||
\(271\) | 5.27648 | − | 16.2393i | 0.320524 | − | 0.986470i | −0.652897 | − | 0.757446i | \(-0.726447\pi\) |
0.973421 | − | 0.229024i | \(-0.0735533\pi\) | |||||||
\(272\) | −16.6234 | − | 1.14587i | −1.00794 | − | 0.0694784i | ||||
\(273\) | −1.20714 | − | 1.66149i | −0.0730596 | − | 0.100558i | ||||
\(274\) | 11.6906 | − | 0.717937i | 0.706257 | − | 0.0433722i | ||||
\(275\) | −0.151786 | − | 4.73757i | −0.00915304 | − | 0.285686i | ||||
\(276\) | 16.7488 | − | 21.4594i | 1.00816 | − | 1.29170i | ||||
\(277\) | 20.0362 | + | 3.17343i | 1.20386 | + | 0.190673i | 0.725957 | − | 0.687740i | \(-0.241397\pi\) |
0.477903 | + | 0.878412i | \(0.341397\pi\) | |||||||
\(278\) | 6.90841 | + | 11.7215i | 0.414339 | + | 0.703009i | ||||
\(279\) | 7.00886 | + | 2.27732i | 0.419609 | + | 0.136339i | ||||
\(280\) | −2.12501 | + | 1.43119i | −0.126994 | + | 0.0855298i | ||||
\(281\) | 24.5189 | − | 7.96668i | 1.46268 | − | 0.475252i | 0.533789 | − | 0.845617i | \(-0.320767\pi\) |
0.928886 | + | 0.370365i | \(0.120767\pi\) | |||||||
\(282\) | −0.633004 | − | 0.559755i | −0.0376948 | − | 0.0333329i | ||||
\(283\) | 14.8409 | − | 29.1269i | 0.882200 | − | 1.73141i | 0.230283 | − | 0.973124i | \(-0.426035\pi\) |
0.651917 | − | 0.758291i | \(-0.273965\pi\) | |||||||
\(284\) | 9.01150 | − | 16.2762i | 0.534734 | − | 0.965814i | ||||
\(285\) | −2.99463 | − | 31.5767i | −0.177386 | − | 1.87044i | ||||
\(286\) | 1.69054 | + | 2.04975i | 0.0999635 | + | 0.121204i | ||||
\(287\) | 2.48238 | − | 3.41671i | 0.146531 | − | 0.201682i | ||||
\(288\) | −6.33800 | + | 19.0206i | −0.373470 | + | 1.12080i | ||||
\(289\) | 0.285768 | − | 0.207622i | 0.0168099 | − | 0.0122131i | ||||
\(290\) | 13.7728 | + | 4.49322i | 0.808769 | + | 0.263851i | ||||
\(291\) | 1.77537 | + | 11.2092i | 0.104074 | + | 0.657096i | ||||
\(292\) | −2.41992 | − | 5.18283i | −0.141615 | − | 0.303302i | ||||
\(293\) | −15.6640 | − | 15.6640i | −0.915100 | − | 0.915100i | 0.0815682 | − | 0.996668i | \(-0.474007\pi\) |
−0.996668 | + | 0.0815682i | \(0.974007\pi\) | |||||||
\(294\) | 22.6820 | + | 9.85575i | 1.32284 | + | 0.574799i | ||||
\(295\) | −2.22556 | − | 8.65699i | −0.129577 | − | 0.504029i | ||||
\(296\) | 15.5257 | − | 11.9317i | 0.902415 | − | 0.693514i | ||||
\(297\) | 0.407793 | − | 1.25506i | 0.0236625 | − | 0.0728258i | ||||
\(298\) | −0.830986 | + | 8.65259i | −0.0481377 | + | 0.501231i | ||||
\(299\) | −7.45600 | + | 7.45600i | −0.431192 | + | 0.431192i | ||||
\(300\) | −22.8209 | + | 11.5594i | −1.31757 | + | 0.667384i | ||||
\(301\) | 1.97407 | + | 1.97407i | 0.113784 | + | 0.113784i | ||||
\(302\) | −7.92282 | − | 9.60629i | −0.455907 | − | 0.552780i | ||||
\(303\) | 21.0874 | + | 6.85171i | 1.21144 | + | 0.393621i | ||||
\(304\) | 16.7249 | − | 14.5679i | 0.959241 | − | 0.835527i | ||||
\(305\) | 0.691620 | − | 11.0469i | 0.0396020 | − | 0.632544i | ||||
\(306\) | −7.65713 | − | 19.4247i | −0.437729 | − | 1.11043i | ||||
\(307\) | 3.57728 | − | 3.57728i | 0.204166 | − | 0.204166i | −0.597616 | − | 0.801782i | \(-0.703885\pi\) |
0.801782 | + | 0.597616i | \(0.203885\pi\) | |||||||
\(308\) | 0.721865 | + | 0.262332i | 0.0411321 | + | 0.0149478i | ||||
\(309\) | 30.9366 | − | 4.89987i | 1.75992 | − | 0.278744i | ||||
\(310\) | −2.99219 | + | 5.85525i | −0.169945 | + | 0.332556i | ||||
\(311\) | −7.05324 | − | 9.70796i | −0.399953 | − | 0.550488i | 0.560779 | − | 0.827965i | \(-0.310502\pi\) |
−0.960732 | + | 0.277478i | \(0.910502\pi\) | |||||||
\(312\) | 6.16366 | − | 12.9471i | 0.348948 | − | 0.732987i | ||||
\(313\) | −25.2844 | − | 18.3702i | −1.42916 | − | 1.03834i | −0.990173 | − | 0.139848i | \(-0.955338\pi\) |
−0.438984 | − | 0.898495i | \(-0.644662\pi\) | |||||||
\(314\) | 1.41563 | − | 14.7401i | 0.0798884 | − | 0.831833i | ||||
\(315\) | −2.76377 | − | 1.63335i | −0.155721 | − | 0.0920289i | ||||
\(316\) | −18.3801 | − | 10.1763i | −1.03396 | − | 0.572463i | ||||
\(317\) | 14.9329 | + | 7.60869i | 0.838715 | + | 0.427347i | 0.819921 | − | 0.572477i | \(-0.194017\pi\) |
0.0187941 | + | 0.999823i | \(0.494017\pi\) | |||||||
\(318\) | 25.1458 | − | 1.54424i | 1.41011 | − | 0.0865966i | ||||
\(319\) | −1.34207 | − | 4.13048i | −0.0751417 | − | 0.231262i | ||||
\(320\) | −15.8677 | − | 8.25926i | −0.887033 | − | 0.461707i | ||||
\(321\) | −0.972041 | + | 2.99163i | −0.0542540 | + | 0.166977i | ||||
\(322\) | −0.762452 | + | 2.95120i | −0.0424898 | + | 0.164464i | ||||
\(323\) | −3.61345 | + | 22.8144i | −0.201058 | + | 1.26943i | ||||
\(324\) | 14.0366 | − | 1.73054i | 0.779811 | − | 0.0961411i | ||||
\(325\) | 9.32113 | − | 3.36226i | 0.517044 | − | 0.186505i | ||||
\(326\) | 8.91823 | − | 10.0853i | 0.493935 | − | 0.558571i | ||||
\(327\) | 11.2220 | − | 8.15329i | 0.620580 | − | 0.450878i | ||||
\(328\) | 29.2384 | + | 3.82719i | 1.61442 | + | 0.211321i | ||||
\(329\) | 0.0899856 | + | 0.0292381i | 0.00496107 | + | 0.00161195i | ||||
\(330\) | 6.82892 | + | 3.48977i | 0.375920 | + | 0.192105i | ||||
\(331\) | −15.1370 | − | 7.71268i | −0.832004 | − | 0.423927i | −0.0145311 | − | 0.999894i | \(-0.504626\pi\) |
−0.817473 | + | 0.575967i | \(0.804626\pi\) | |||||||
\(332\) | 22.0799 | − | 28.2898i | 1.21179 | − | 1.55261i | ||||
\(333\) | 21.8616 | + | 11.1390i | 1.19801 | + | 0.610415i | ||||
\(334\) | −30.2784 | − | 19.2789i | −1.65676 | − | 1.05489i | ||||
\(335\) | −8.41208 | + | 21.2655i | −0.459601 | + | 1.16186i | ||||
\(336\) | −0.365367 | − | 4.12902i | −0.0199324 | − | 0.225256i | ||||
\(337\) | 0.647939 | − | 0.891811i | 0.0352955 | − | 0.0485801i | −0.791005 | − | 0.611810i | \(-0.790442\pi\) |
0.826300 | + | 0.563230i | \(0.190442\pi\) | |||||||
\(338\) | 6.89109 | − | 10.8228i | 0.374826 | − | 0.588681i | ||||
\(339\) | −46.0341 | − | 7.29108i | −2.50023 | − | 0.395997i | ||||
\(340\) | 18.1919 | − | 4.01503i | 0.986593 | − | 0.217746i | ||||
\(341\) | 1.94696 | − | 0.308368i | 0.105434 | − | 0.0166991i | ||||
\(342\) | 25.4901 | + | 11.0759i | 1.37835 | + | 0.598916i | ||||
\(343\) | −5.60481 | −0.302631 | ||||||||
\(344\) | −5.52230 | + | 18.6940i | −0.297742 | + | 1.00791i | ||||
\(345\) | −11.1952 | + | 28.3011i | −0.602729 | + | 1.52368i | ||||
\(346\) | 3.23433 | + | 5.48770i | 0.173879 | + | 0.295020i | ||||
\(347\) | −3.99303 | + | 2.03455i | −0.214357 | + | 0.109220i | −0.557873 | − | 0.829927i | \(-0.688382\pi\) |
0.343515 | + | 0.939147i | \(0.388382\pi\) | |||||||
\(348\) | −17.1344 | + | 15.9940i | −0.918500 | + | 0.857367i | ||||
\(349\) | −16.3559 | − | 16.3559i | −0.875509 | − | 0.875509i | 0.117557 | − | 0.993066i | \(-0.462494\pi\) |
−0.993066 | + | 0.117557i | \(0.962494\pi\) | |||||||
\(350\) | 1.82781 | − | 2.20546i | 0.0977006 | − | 0.117887i | ||||
\(351\) | 2.75873 | 0.147250 | ||||||||
\(352\) | 0.799229 | + | 5.30281i | 0.0425990 | + | 0.282641i | ||||
\(353\) | 19.3273 | + | 6.27981i | 1.02869 | + | 0.334240i | 0.774271 | − | 0.632855i | \(-0.218117\pi\) |
0.254416 | + | 0.967095i | \(0.418117\pi\) | |||||||
\(354\) | 14.0020 | + | 3.61746i | 0.744198 | + | 0.192266i | ||||
\(355\) | −4.53123 | + | 20.3007i | −0.240493 | + | 1.07745i | ||||
\(356\) | 25.5493 | − | 11.9292i | 1.35411 | − | 0.632249i | ||||
\(357\) | 3.05250 | + | 3.05250i | 0.161555 | + | 0.161555i | ||||
\(358\) | −3.12335 | + | 7.18810i | −0.165074 | + | 0.379903i | ||||
\(359\) | −20.0410 | + | 27.5841i | −1.05772 | + | 1.45583i | −0.175807 | + | 0.984425i | \(0.556253\pi\) |
−0.881916 | + | 0.471406i | \(0.843747\pi\) | |||||||
\(360\) | 0.797870 | − | 22.4010i | 0.0420514 | − | 1.18064i | ||||
\(361\) | −6.90455 | − | 9.50330i | −0.363398 | − | 0.500174i | ||||
\(362\) | 29.5519 | − | 6.55919i | 1.55322 | − | 0.344743i | ||||
\(363\) | 4.04237 | + | 25.5225i | 0.212169 | + | 1.33959i | ||||
\(364\) | −0.0552401 | + | 1.60467i | −0.00289537 | + | 0.0841077i | ||||
\(365\) | 4.23062 | + | 4.79574i | 0.221441 | + | 0.251020i | ||||
\(366\) | 15.1058 | + | 9.61822i | 0.789595 | + | 0.502752i | ||||
\(367\) | 1.80598 | − | 0.586798i | 0.0942713 | − | 0.0306306i | −0.261502 | − | 0.965203i | \(-0.584218\pi\) |
0.355773 | + | 0.934572i | \(0.384218\pi\) | |||||||
\(368\) | −20.6451 | + | 5.16915i | −1.07620 | + | 0.269460i | ||||
\(369\) | 11.4180 | + | 35.1411i | 0.594400 | + | 1.82937i | ||||
\(370\) | −12.8890 | + | 17.6958i | −0.670066 | + | 0.919959i | ||||
\(371\) | −2.51348 | + | 1.28068i | −0.130493 | + | 0.0664898i | ||||
\(372\) | −5.95341 | − | 8.81686i | −0.308670 | − | 0.457133i | ||||
\(373\) | −0.673158 | − | 0.106618i | −0.0348548 | − | 0.00552046i | 0.138983 | − | 0.990295i | \(-0.455617\pi\) |
−0.173838 | + | 0.984774i | \(0.555617\pi\) | |||||||
\(374\) | −4.18374 | − | 3.69962i | −0.216336 | − | 0.191303i | ||||
\(375\) | 20.8313 | − | 19.5979i | 1.07572 | − | 1.01203i | ||||
\(376\) | 0.120873 | + | 0.649478i | 0.00623355 | + | 0.0334943i | ||||
\(377\) | 7.34519 | − | 5.33659i | 0.378297 | − | 0.274849i | ||||
\(378\) | 0.687027 | − | 0.404919i | 0.0353369 | − | 0.0208268i | ||||
\(379\) | 12.3260 | + | 24.1912i | 0.633146 | + | 1.24262i | 0.955218 | + | 0.295903i | \(0.0956207\pi\) |
−0.322072 | + | 0.946715i | \(0.604379\pi\) | |||||||
\(380\) | −13.3436 | + | 20.9017i | −0.684513 | + | 1.07224i | ||||
\(381\) | −15.0831 | + | 29.6023i | −0.772731 | + | 1.51657i | ||||
\(382\) | 32.5755 | − | 2.00051i | 1.66671 | − | 0.102355i | ||||
\(383\) | −13.1546 | + | 4.27420i | −0.672170 | + | 0.218401i | −0.625164 | − | 0.780493i | \(-0.714968\pi\) |
−0.0470060 | + | 0.998895i | \(0.514968\pi\) | |||||||
\(384\) | 24.1068 | − | 16.0161i | 1.23019 | − | 0.817319i | ||||
\(385\) | −0.857033 | − | 0.0536567i | −0.0436785 | − | 0.00273460i | ||||
\(386\) | 12.8018 | + | 15.5220i | 0.651597 | + | 0.790051i | ||||
\(387\) | −24.1244 | + | 3.82093i | −1.22631 | + | 0.194229i | ||||
\(388\) | 4.29775 | − | 7.76242i | 0.218185 | − | 0.394077i | ||||
\(389\) | −0.917099 | + | 5.79033i | −0.0464987 | + | 0.293582i | −0.999969 | − | 0.00790638i | \(-0.997483\pi\) |
0.953470 | + | 0.301488i | \(0.0974833\pi\) | |||||||
\(390\) | −2.52682 | + | 15.8316i | −0.127950 | + | 0.801663i | ||||
\(391\) | 13.0278 | − | 17.9312i | 0.658842 | − | 0.906818i | ||||
\(392\) | −9.23842 | − | 16.9849i | −0.466611 | − | 0.857869i | ||||
\(393\) | 14.7578 | 0.744433 | ||||||||
\(394\) | −14.6651 | + | 33.7502i | −0.738816 | + | 1.70031i | ||||
\(395\) | 22.9248 | + | 5.11694i | 1.15347 | + | 0.257461i | ||||
\(396\) | −5.56904 | + | 3.76038i | −0.279855 | + | 0.188966i | ||||
\(397\) | 15.0381 | + | 29.5139i | 0.754740 | + | 1.48126i | 0.872708 | + | 0.488243i | \(0.162362\pi\) |
−0.117968 | + | 0.993017i | \(0.537638\pi\) | |||||||
\(398\) | −12.8640 | − | 15.5974i | −0.644813 | − | 0.781825i | ||||
\(399\) | −5.74619 | −0.287669 | ||||||||
\(400\) | 19.6253 | + | 3.85323i | 0.981265 | + | 0.192662i | ||||
\(401\) | −20.1832 | −1.00790 | −0.503950 | − | 0.863733i | \(-0.668120\pi\) | ||||
−0.503950 | + | 0.863733i | \(0.668120\pi\) | |||||||
\(402\) | −23.5419 | − | 28.5442i | −1.17416 | − | 1.42366i | ||||
\(403\) | 1.87083 | + | 3.67172i | 0.0931928 | + | 0.182901i | ||||
\(404\) | −9.70064 | − | 14.3664i | −0.482625 | − | 0.714757i | ||||
\(405\) | −14.5098 | + | 6.28422i | −0.720998 | + | 0.312266i | ||||
\(406\) | 1.04594 | − | 2.40712i | 0.0519090 | − | 0.119464i | ||||
\(407\) | 6.56292 | 0.325312 | ||||||||
\(408\) | −8.53910 | + | 28.9064i | −0.422749 | + | 1.43108i | ||||
\(409\) | 16.2373 | − | 22.3487i | 0.802880 | − | 1.10507i | −0.189503 | − | 0.981880i | \(-0.560688\pi\) |
0.992383 | − | 0.123190i | \(-0.0393124\pi\) | |||||||
\(410\) | −32.5686 | + | 5.11858i | −1.60845 | + | 0.252789i | ||||
\(411\) | 3.31436 | − | 20.9260i | 0.163485 | − | 1.03221i | ||||
\(412\) | −21.4237 | − | 11.8615i | −1.05547 | − | 0.584373i | ||||
\(413\) | −1.59938 | + | 0.253317i | −0.0787005 | + | 0.0124649i | ||||
\(414\) | −16.9680 | − | 20.5734i | −0.833929 | − | 1.01113i | ||||
\(415\) | −14.7586 | + | 37.3092i | −0.724469 | + | 1.83144i | ||||
\(416\) | −10.0267 | + | 5.01464i | −0.491599 | + | 0.245863i | ||||
\(417\) | 23.4069 | − | 7.60537i | 1.14624 | − | 0.372437i | ||||
\(418\) | 7.42003 | − | 0.455674i | 0.362926 | − | 0.0222878i | ||||
\(419\) | 5.32087 | − | 10.4428i | 0.259942 | − | 0.510164i | −0.723742 | − | 0.690071i | \(-0.757579\pi\) |
0.983684 | + | 0.179906i | \(0.0575795\pi\) | |||||||
\(420\) | 1.69445 | + | 4.31355i | 0.0826807 | + | 0.210479i | ||||
\(421\) | −1.94842 | − | 3.82398i | −0.0949600 | − | 0.186369i | 0.838640 | − | 0.544686i | \(-0.183351\pi\) |
−0.933600 | + | 0.358316i | \(0.883351\pi\) | |||||||
\(422\) | 14.9928 | − | 8.83646i | 0.729840 | − | 0.430152i | ||||
\(423\) | −0.669705 | + | 0.486569i | −0.0325622 | + | 0.0236578i | ||||
\(424\) | −16.2406 | − | 11.1441i | −0.788713 | − | 0.541205i | ||||
\(425\) | −18.2461 | + | 10.0454i | −0.885066 | + | 0.487275i | ||||
\(426\) | −25.2103 | − | 22.2930i | −1.22144 | − | 1.08010i | ||||
\(427\) | −1.98052 | − | 0.313683i | −0.0958440 | − | 0.0151802i | ||||
\(428\) | 2.03814 | − | 1.37621i | 0.0985173 | − | 0.0665218i | ||||
\(429\) | 4.28229 | − | 2.18194i | 0.206751 | − | 0.105345i | ||||
\(430\) | 0.0259685 | − | 21.7933i | 0.00125231 | − | 1.05097i | ||||
\(431\) | 9.80138 | + | 30.1655i | 0.472116 | + | 1.45302i | 0.849808 | + | 0.527092i | \(0.176718\pi\) |
−0.377692 | + | 0.925931i | \(0.623282\pi\) | |||||||
\(432\) | 4.77565 | + | 2.86306i | 0.229769 | + | 0.137749i | ||||
\(433\) | −11.2279 | + | 3.64817i | −0.539580 | + | 0.175320i | −0.566113 | − | 0.824328i | \(-0.691553\pi\) |
0.0265330 | + | 0.999648i | \(0.491553\pi\) | |||||||
\(434\) | 1.00483 | + | 0.639800i | 0.0482336 | + | 0.0307114i | ||||
\(435\) | 13.3329 | − | 22.5605i | 0.639265 | − | 1.08169i | ||||
\(436\) | −10.8383 | − | 0.373103i | −0.519059 | − | 0.0178684i | ||||
\(437\) | 4.61522 | + | 29.1394i | 0.220776 | + | 1.39393i | ||||
\(438\) | −10.1009 | + | 2.24195i | −0.482641 | + | 0.107124i | ||||
\(439\) | −8.39335 | − | 11.5525i | −0.400593 | − | 0.551369i | 0.560300 | − | 0.828290i | \(-0.310686\pi\) |
−0.960893 | + | 0.276921i | \(0.910686\pi\) | |||||||
\(440\) | −2.53010 | − | 5.43570i | −0.120618 | − | 0.259137i | ||||
\(441\) | 14.2406 | − | 19.6004i | 0.678122 | − | 0.933355i | ||||
\(442\) | 4.65283 | − | 10.7080i | 0.221313 | − | 0.509329i | ||||
\(443\) | 7.38451 | + | 7.38451i | 0.350849 | + | 0.350849i | 0.860425 | − | 0.509577i | \(-0.170198\pi\) |
−0.509577 | + | 0.860425i | \(0.670198\pi\) | |||||||
\(444\) | −14.9849 | − | 32.0937i | −0.711153 | − | 1.52310i | ||||
\(445\) | −23.6411 | + | 20.8552i | −1.12069 | + | 0.988634i | ||||
\(446\) | 10.3280 | + | 2.66828i | 0.489046 | + | 0.126347i | ||||
\(447\) | 14.9540 | + | 4.85886i | 0.707301 | + | 0.229816i | ||||
\(448\) | −1.76099 | + | 2.72053i | −0.0831988 | + | 0.128533i | ||||
\(449\) | 29.2302 | 1.37946 | 0.689730 | − | 0.724067i | \(-0.257729\pi\) | ||||
0.689730 | + | 0.724067i | \(0.257729\pi\) | |||||||
\(450\) | 6.21091 | + | 24.2791i | 0.292785 | + | 1.14453i | ||||
\(451\) | 6.98861 | + | 6.98861i | 0.329081 | + | 0.329081i | ||||
\(452\) | 24.8643 | + | 26.6372i | 1.16952 | + | 1.25291i | ||||
\(453\) | −20.0693 | + | 10.2258i | −0.942936 | + | 0.480450i | ||||
\(454\) | 8.50481 | + | 14.4301i | 0.399150 | + | 0.677239i | ||||
\(455\) | −0.446965 | − | 1.73861i | −0.0209541 | − | 0.0815071i | ||||
\(456\) | −19.1703 | − | 35.2447i | −0.897730 | − | 1.65049i | ||||
\(457\) | 9.95787 | 0.465810 | 0.232905 | − | 0.972500i | \(-0.425177\pi\) | ||||
0.232905 | + | 0.972500i | \(0.425177\pi\) | |||||||
\(458\) | 8.76836 | + | 3.81001i | 0.409719 | + | 0.178030i | ||||
\(459\) | −5.72741 | + | 0.907133i | −0.267333 | + | 0.0423414i | ||||
\(460\) | 20.5134 | − | 12.0572i | 0.956442 | − | 0.562172i | ||||
\(461\) | −13.5936 | − | 2.15302i | −0.633117 | − | 0.100276i | −0.168377 | − | 0.985723i | \(-0.553852\pi\) |
−0.464741 | + | 0.885447i | \(0.653852\pi\) | |||||||
\(462\) | 0.746194 | − | 1.17193i | 0.0347161 | − | 0.0545231i | ||||
\(463\) | 8.07616 | − | 11.1159i | 0.375331 | − | 0.516599i | −0.579009 | − | 0.815321i | \(-0.696560\pi\) |
0.954340 | + | 0.298722i | \(0.0965604\pi\) | |||||||
\(464\) | 18.2537 | − | 1.61523i | 0.847409 | − | 0.0749851i | ||||
\(465\) | 9.16706 | + | 7.57893i | 0.425112 | + | 0.351464i | ||||
\(466\) | 21.8750 | + | 13.9283i | 1.01334 | + | 0.645215i | ||||
\(467\) | −8.84816 | − | 4.50836i | −0.409444 | − | 0.208622i | 0.237123 | − | 0.971480i | \(-0.423796\pi\) |
−0.646566 | + | 0.762858i | \(0.723796\pi\) | |||||||
\(468\) | −11.0740 | − | 8.64309i | −0.511894 | − | 0.399527i | ||||
\(469\) | 3.69142 | + | 1.88087i | 0.170454 | + | 0.0868507i | ||||
\(470\) | −0.334536 | − | 0.658502i | −0.0154310 | − | 0.0303744i | ||||
\(471\) | −25.4749 | − | 8.27730i | −1.17382 | − | 0.381398i | ||||
\(472\) | −6.88956 | − | 8.96484i | −0.317118 | − | 0.412640i | ||||
\(473\) | −5.28556 | + | 3.84018i | −0.243030 | + | 0.176572i | ||||
\(474\) | −25.1746 | + | 28.4689i | −1.15631 | + | 1.30762i | ||||
\(475\) | 7.71870 | − | 26.6287i | 0.354158 | − | 1.22181i | ||||
\(476\) | −0.412969 | − | 3.34964i | −0.0189284 | − | 0.153530i | ||||
\(477\) | 3.86088 | − | 24.3766i | 0.176778 | − | 1.11613i | ||||
\(478\) | 3.05722 | − | 11.8335i | 0.139834 | − | 0.541250i | ||||
\(479\) | 11.9728 | − | 36.8485i | 0.547052 | − | 1.68365i | −0.169010 | − | 0.985614i | \(-0.554057\pi\) |
0.716062 | − | 0.698037i | \(-0.245943\pi\) | |||||||
\(480\) | −20.8045 | + | 24.7838i | −0.949593 | + | 1.13122i | ||||
\(481\) | 4.23966 | + | 13.0483i | 0.193312 | + | 0.594952i | ||||
\(482\) | 28.0956 | − | 1.72539i | 1.27972 | − | 0.0785893i | ||||
\(483\) | 4.91272 | + | 2.50316i | 0.223536 | + | 0.113898i | ||||
\(484\) | 9.78565 | − | 17.6744i | 0.444802 | − | 0.803383i | ||||
\(485\) | −2.16103 | + | 9.68180i | −0.0981273 | + | 0.439628i | ||||
\(486\) | 3.01030 | − | 31.3445i | 0.136550 | − | 1.42182i | ||||
\(487\) | −31.0088 | − | 22.5292i | −1.40514 | − | 1.02090i | −0.994006 | − | 0.109324i | \(-0.965131\pi\) |
−0.411138 | − | 0.911573i | \(-0.634869\pi\) | |||||||
\(488\) | −4.68335 | − | 13.1942i | −0.212005 | − | 0.597272i | ||||
\(489\) | −14.3142 | − | 19.7018i | −0.647309 | − | 0.890945i | ||||
\(490\) | 15.2673 | + | 15.3037i | 0.689707 | + | 0.691353i | ||||
\(491\) | −5.23689 | + | 0.829443i | −0.236338 | + | 0.0374322i | −0.273480 | − | 0.961878i | \(-0.588175\pi\) |
0.0371420 | + | 0.999310i | \(0.488175\pi\) | |||||||
\(492\) | 18.2185 | − | 50.1323i | 0.821355 | − | 2.26014i | ||||
\(493\) | −13.4946 | + | 13.4946i | −0.607767 | + | 0.607767i | ||||
\(494\) | 5.69932 | + | 14.4581i | 0.256424 | + | 0.650499i | ||||
\(495\) | 4.78712 | − | 5.79024i | 0.215165 | − | 0.260252i | ||||
\(496\) | −0.571969 | + | 8.29772i | −0.0256822 | + | 0.372579i | ||||
\(497\) | 3.58380 | + | 1.16445i | 0.160756 | + | 0.0522326i | ||||
\(498\) | −41.3031 | − | 50.0794i | −1.85084 | − | 2.24411i | ||||
\(499\) | −10.3829 | − | 10.3829i | −0.464802 | − | 0.464802i | 0.435424 | − | 0.900226i | \(-0.356599\pi\) |
−0.900226 | + | 0.435424i | \(0.856599\pi\) | |||||||
\(500\) | −22.2658 | + | 2.05808i | −0.995755 | + | 0.0920401i | ||||
\(501\) | −45.9125 | + | 45.9125i | −2.05122 | + | 2.05122i | ||||
\(502\) | 0.378363 | − | 3.93968i | 0.0168872 | − | 0.175837i | ||||
\(503\) | −12.7490 | + | 39.2374i | −0.568450 | + | 1.74951i | 0.0890215 | + | 0.996030i | \(0.471626\pi\) |
−0.657471 | + | 0.753479i | \(0.728374\pi\) | |||||||
\(504\) | −4.02645 | − | 0.527047i | −0.179352 | − | 0.0234765i | ||||
\(505\) | 14.9371 | + | 12.3493i | 0.664690 | + | 0.549537i | ||||
\(506\) | −6.54228 | − | 2.84274i | −0.290840 | − | 0.126375i | ||||
\(507\) | −16.4111 | − | 16.4111i | −0.728842 | − | 0.728842i | ||||
\(508\) | 23.5355 | − | 10.9890i | 1.04422 | − | 0.487557i | ||||
\(509\) | −3.91697 | − | 24.7308i | −0.173617 | − | 1.09617i | −0.908471 | − | 0.417948i | \(-0.862749\pi\) |
0.734854 | − | 0.678225i | \(-0.237251\pi\) | |||||||
\(510\) | 0.0401550 | − | 33.6990i | 0.00177809 | − | 1.49222i | ||||
\(511\) | 0.937288 | − | 0.680980i | 0.0414632 | − | 0.0301248i | ||||
\(512\) | −22.5616 | − | 1.72501i | −0.997090 | − | 0.0762355i | ||||
\(513\) | 4.53698 | − | 6.24461i | 0.200312 | − | 0.275706i | ||||
\(514\) | 7.27527 | + | 8.82116i | 0.320899 | + | 0.389085i | ||||
\(515\) | 26.7210 | + | 5.96427i | 1.17747 | + | 0.262817i | ||||
\(516\) | 30.8475 | + | 17.0791i | 1.35798 | + | 0.751863i | ||||
\(517\) | −0.100524 | + | 0.197289i | −0.00442103 | + | 0.00867676i | ||||
\(518\) | 2.97104 | + | 2.62724i | 0.130540 | + | 0.115434i | ||||
\(519\) | 10.9585 | − | 3.56063i | 0.481025 | − | 0.156294i | ||||
\(520\) | 9.17274 | − | 8.54179i | 0.402251 | − | 0.374582i | ||||
\(521\) | 8.09269 | + | 2.62947i | 0.354547 | + | 0.115199i | 0.480875 | − | 0.876789i | \(-0.340319\pi\) |
−0.126328 | + | 0.991989i | \(0.540319\pi\) | |||||||
\(522\) | 11.6591 | + | 19.7820i | 0.510304 | + | 0.865834i | ||||
\(523\) | −21.0085 | − | 3.32742i | −0.918637 | − | 0.145498i | −0.320829 | − | 0.947137i | \(-0.603962\pi\) |
−0.597808 | + | 0.801639i | \(0.703962\pi\) | |||||||
\(524\) | −9.09547 | − | 7.09891i | −0.397338 | − | 0.310117i | ||||
\(525\) | −3.17824 | − | 4.09219i | −0.138710 | − | 0.178598i | ||||
\(526\) | −9.36332 | + | 0.575014i | −0.408260 | + | 0.0250718i | ||||
\(527\) | −5.09140 | − | 7.00771i | −0.221785 | − | 0.305261i | ||||
\(528\) | 9.67757 | + | 0.667082i | 0.421162 | + | 0.0290310i | ||||
\(529\) | 1.64052 | − | 5.04899i | 0.0713268 | − | 0.219521i | ||||
\(530\) | 20.9353 | + | 6.82988i | 0.909372 | + | 0.296671i | ||||
\(531\) | 6.43188 | − | 12.6233i | 0.279120 | − | 0.547804i | ||||
\(532\) | 3.54147 | + | 2.76407i | 0.153542 | + | 0.119838i | ||||
\(533\) | −9.38002 | + | 18.4093i | −0.406294 | + | 0.797396i | ||||
\(534\) | −11.0519 | − | 49.7935i | −0.478263 | − | 2.15478i | ||||
\(535\) | −1.75198 | + | 2.11910i | −0.0757445 | + | 0.0916165i | ||||
\(536\) | 0.778719 | + | 28.9166i | 0.0336355 | + | 1.24901i | ||||
\(537\) | 11.4693 | + | 8.33297i | 0.494939 | + | 0.359594i | ||||
\(538\) | −0.236565 | − | 1.06583i | −0.0101991 | − | 0.0459511i | ||||
\(539\) | 1.01376 | − | 6.40065i | 0.0436659 | − | 0.275696i | ||||
\(540\) | −6.02558 | − | 1.56439i | −0.259300 | − | 0.0673206i | ||||
\(541\) | 2.79856 | + | 17.6694i | 0.120319 | + | 0.759667i | 0.971891 | + | 0.235429i | \(0.0756496\pi\) |
−0.851572 | + | 0.524237i | \(0.824350\pi\) | |||||||
\(542\) | 8.85576 | + | 22.4653i | 0.380387 | + | 0.964968i | ||||
\(543\) | − | 54.7570i | − | 2.34985i | ||||||
\(544\) | 19.1676 | − | 13.7080i | 0.821802 | − | 0.587724i | ||||
\(545\) | 11.7429 | − | 3.01889i | 0.503010 | − | 0.129315i | ||||
\(546\) | 2.81206 | + | 0.726505i | 0.120345 | + | 0.0310915i | ||||
\(547\) | −3.09769 | − | 6.07956i | −0.132448 | − | 0.259943i | 0.815252 | − | 0.579106i | \(-0.196598\pi\) |
−0.947700 | + | 0.319163i | \(0.896598\pi\) | |||||||
\(548\) | −12.1087 | + | 11.3028i | −0.517257 | + | 0.482830i | ||||
\(549\) | 12.4052 | − | 12.4052i | 0.529440 | − | 0.529440i | ||||
\(550\) | 4.42857 | + | 5.03220i | 0.188835 | + | 0.214574i | ||||
\(551\) | − | 25.4030i | − | 1.08220i | ||||||
\(552\) | 1.03636 | + | 38.4836i | 0.0441103 | + | 1.63797i | ||||
\(553\) | 1.31496 | − | 4.04705i | 0.0559180 | − | 0.172098i | ||||
\(554\) | −24.7154 | + | 14.5668i | −1.05006 | + | 0.618882i | ||||
\(555\) | 26.1973 | + | 29.6967i | 1.11201 | + | 1.26056i | ||||
\(556\) | −18.0845 | − | 6.57206i | −0.766952 | − | 0.278717i | ||||
\(557\) | −13.2057 | + | 13.2057i | −0.559544 | + | 0.559544i | −0.929178 | − | 0.369634i | \(-0.879483\pi\) |
0.369634 | + | 0.929178i | \(0.379483\pi\) | |||||||
\(558\) | −9.69597 | + | 3.82212i | −0.410463 | + | 0.161803i | ||||
\(559\) | −11.0495 | − | 8.02792i | −0.467343 | − | 0.339545i | ||||
\(560\) | 1.03062 | − | 3.47358i | 0.0435515 | − | 0.146786i | ||||
\(561\) | −8.17303 | + | 5.93806i | −0.345066 | + | 0.250705i | ||||
\(562\) | −19.5820 | + | 30.7544i | −0.826018 | + | 1.29730i | ||||
\(563\) | −14.7983 | + | 2.34382i | −0.623673 | + | 0.0987801i | −0.460270 | − | 0.887779i | \(-0.652247\pi\) |
−0.163404 | + | 0.986559i | \(0.552247\pi\) | |||||||
\(564\) | 1.19430 | + | 0.0411132i | 0.0502890 | + | 0.00173118i | ||||
\(565\) | −35.0727 | − | 20.7275i | −1.47552 | − | 0.872010i | ||||
\(566\) | 10.0173 | + | 45.1321i | 0.421058 | + | 1.89705i | ||||
\(567\) | 0.885204 | + | 2.72438i | 0.0371751 | + | 0.114413i | ||||
\(568\) | 4.81394 | + | 25.8664i | 0.201988 | + | 1.08533i | ||||
\(569\) | −18.4286 | + | 5.98780i | −0.772565 | + | 0.251022i | −0.668663 | − | 0.743566i | \(-0.733133\pi\) |
−0.103902 | + | 0.994587i | \(0.533133\pi\) | |||||||
\(570\) | 31.6806 | + | 31.7562i | 1.32695 | + | 1.33012i | ||||
\(571\) | −10.3141 | − | 20.2425i | −0.431631 | − | 0.847123i | −0.999708 | − | 0.0241483i | \(-0.992313\pi\) |
0.568077 | − | 0.822975i | \(-0.307687\pi\) | |||||||
\(572\) | −3.68882 | − | 0.715136i | −0.154237 | − | 0.0299013i | ||||
\(573\) | 9.23534 | − | 58.3097i | 0.385812 | − | 2.43592i | ||||
\(574\) | 0.366097 | + | 5.96140i | 0.0152806 | + | 0.248824i | ||||
\(575\) | −18.1991 | + | 19.4039i | −0.758957 | + | 0.809199i | ||||
\(576\) | −10.2002 | − | 26.4549i | −0.425010 | − | 1.10229i | ||||
\(577\) | −0.417541 | − | 0.574696i | −0.0173825 | − | 0.0239249i | 0.800237 | − | 0.599683i | \(-0.204707\pi\) |
−0.817620 | + | 0.575759i | \(0.804707\pi\) | |||||||
\(578\) | −0.124955 | + | 0.483660i | −0.00519744 | + | 0.0201176i | ||||
\(579\) | 32.4283 | − | 16.5230i | 1.34767 | − | 0.686674i | ||||
\(580\) | −19.0695 | + | 7.49090i | −0.791818 | + | 0.311043i | ||||
\(581\) | 6.47641 | + | 3.29990i | 0.268687 | + | 0.136903i | ||||
\(582\) | −12.0232 | − | 10.6320i | −0.498380 | − | 0.440709i | ||||
\(583\) | −2.04001 | − | 6.27851i | −0.0844886 | − | 0.260029i | ||||
\(584\) | 7.30381 | + | 3.47707i | 0.302234 | + | 0.143882i | ||||
\(585\) | 14.6046 | + | 5.77719i | 0.603825 | + | 0.238857i | ||||
\(586\) | 31.1845 | + | 2.99492i | 1.28822 | + | 0.123719i | ||||
\(587\) | −1.82357 | − | 11.5136i | −0.0752669 | − | 0.475216i | −0.996315 | − | 0.0857679i | \(-0.972666\pi\) |
0.921048 | − | 0.389448i | \(-0.127334\pi\) | |||||||
\(588\) | −33.6149 | + | 9.65696i | −1.38626 | + | 0.398246i | ||||
\(589\) | 11.3880 | + | 1.80368i | 0.469235 | + | 0.0743195i | ||||
\(590\) | 10.2179 | + | 7.44233i | 0.420663 | + | 0.306396i | ||||
\(591\) | 53.8520 | + | 39.1258i | 2.21517 | + | 1.60942i | ||||
\(592\) | −6.20251 | + | 26.9880i | −0.254922 | + | 1.10920i | ||||
\(593\) | 15.5204i | 0.637348i | 0.947864 | + | 0.318674i | \(0.103238\pi\) | ||||
−0.947864 | + | 0.318674i | \(0.896762\pi\) | |||||||
\(594\) | 0.684417 | + | 1.73623i | 0.0280820 | + | 0.0712385i | ||||
\(595\) | 1.49964 | + | 3.46256i | 0.0614794 | + | 0.141951i | ||||
\(596\) | −6.87916 | − | 10.1879i | −0.281782 | − | 0.417312i | ||||
\(597\) | −32.5857 | + | 16.6032i | −1.33364 | + | 0.679525i | ||||
\(598\) | 1.42557 | − | 14.8437i | 0.0582960 | − | 0.607004i | ||||
\(599\) | − | 10.2273i | − | 0.417876i | −0.977929 | − | 0.208938i | \(-0.932999\pi\) | ||
0.977929 | − | 0.208938i | \(-0.0670006\pi\) | |||||||
\(600\) | 14.4967 | − | 33.1463i | 0.591824 | − | 1.35319i | ||||
\(601\) | 22.0801i | 0.900666i | 0.892861 | + | 0.450333i | \(0.148695\pi\) | ||||
−0.892861 | + | 0.450333i | \(0.851305\pi\) | |||||||
\(602\) | −3.93006 | − | 0.377439i | −0.160177 | − | 0.0153833i | ||||
\(603\) | −32.2963 | + | 16.4558i | −1.31521 | + | 0.670131i | ||||
\(604\) | 17.2879 | + | 3.35153i | 0.703434 | + | 0.136372i | ||||
\(605\) | −4.92050 | + | 22.0447i | −0.200047 | + | 0.896245i | ||||
\(606\) | −29.1721 | + | 11.4995i | −1.18503 | + | 0.467137i | ||||
\(607\) | − | 12.7223i | − | 0.516383i | −0.966094 | − | 0.258192i | \(-0.916873\pi\) | ||
0.966094 | − | 0.258192i | \(-0.0831266\pi\) | |||||||
\(608\) | −5.13873 | + | 30.9433i | −0.208403 | + | 1.25492i | ||||
\(609\) | −3.84081 | − | 2.79052i | −0.155638 | − | 0.113077i | ||||
\(610\) | 9.18567 | + | 12.6747i | 0.371917 | + | 0.513184i | ||||
\(611\) | −0.457186 | − | 0.0724112i | −0.0184958 | − | 0.00292944i | ||||
\(612\) | 25.8328 | + | 14.3026i | 1.04423 | + | 0.578149i | ||||
\(613\) | 3.16945 | + | 20.0111i | 0.128013 | + | 0.808242i | 0.965236 | + | 0.261380i | \(0.0841777\pi\) |
−0.837223 | + | 0.546862i | \(0.815822\pi\) | |||||||
\(614\) | −0.683969 | + | 7.12179i | −0.0276028 | + | 0.287412i | ||||
\(615\) | −3.72637 | + | 59.5195i | −0.150262 | + | 2.40006i | ||||
\(616\) | −1.02362 | + | 0.363340i | −0.0412429 | + | 0.0146394i | ||||
\(617\) | −12.0745 | − | 37.1616i | −0.486102 | − | 1.49607i | −0.830378 | − | 0.557200i | \(-0.811876\pi\) |
0.344277 | − | 0.938868i | \(-0.388124\pi\) | |||||||
\(618\) | −29.3434 | + | 33.1832i | −1.18036 | + | 1.33483i | ||||
\(619\) | −29.2250 | − | 14.8909i | −1.17465 | − | 0.598515i | −0.245928 | − | 0.969288i | \(-0.579093\pi\) |
−0.928723 | + | 0.370773i | \(0.879093\pi\) | |||||||
\(620\) | −2.00414 | − | 9.08062i | −0.0804880 | − | 0.364687i | ||||
\(621\) | −6.59919 | + | 3.36245i | −0.264816 | + | 0.134931i | ||||
\(622\) | 16.4306 | + | 4.24491i | 0.658809 | + | 0.170205i | ||||
\(623\) | 3.35696 | + | 4.62045i | 0.134494 | + | 0.185115i | ||||
\(624\) | 4.92544 | + | 19.6718i | 0.197175 | + | 0.787501i | ||||
\(625\) | 23.2331 | − | 9.23155i | 0.929325 | − | 0.369262i | ||||
\(626\) | 44.1156 | − | 2.70920i | 1.76321 | − | 0.108281i | ||||
\(627\) | 2.10362 | − | 13.2817i | 0.0840105 | − | 0.530421i | ||||
\(628\) | 11.7190 | + | 17.3556i | 0.467639 | + | 0.692562i | ||||
\(629\) | −13.0926 | − | 25.6956i | −0.522035 | − | 1.02455i | ||||
\(630\) | 4.48505 | − | 0.704885i | 0.178689 | − | 0.0280833i | ||||
\(631\) | 31.1982 | − | 10.1369i | 1.24198 | − | 0.403545i | 0.386941 | − | 0.922104i | \(-0.373532\pi\) |
0.855041 | + | 0.518560i | \(0.173532\pi\) | |||||||
\(632\) | 29.2099 | − | 5.43619i | 1.16191 | − | 0.216240i | ||||
\(633\) | −9.72794 | − | 29.9395i | −0.386651 | − | 1.18999i | ||||
\(634\) | −23.1385 | + | 5.13571i | −0.918949 | + | 0.203965i | ||||
\(635\) | −21.7776 | + | 19.2114i | −0.864220 | + | 0.762382i | ||||
\(636\) | −26.0450 | + | 24.3115i | −1.03275 | + | 0.964015i | ||||
\(637\) | 13.3806 | − | 2.11928i | 0.530159 | − | 0.0839689i | ||||
\(638\) | 5.18092 | + | 3.29881i | 0.205115 | + | 0.130601i | ||||
\(639\) | −26.6719 | + | 19.3783i | −1.05513 | + | 0.766594i | ||||
\(640\) | 24.7438 | − | 5.26710i | 0.978086 | − | 0.208200i | ||||
\(641\) | 36.9003 | + | 26.8097i | 1.45747 | + | 1.05892i | 0.984012 | + | 0.178104i | \(0.0569964\pi\) |
0.473463 | + | 0.880814i | \(0.343004\pi\) | |||||||
\(642\) | −1.63142 | − | 4.13859i | −0.0643870 | − | 0.163337i | ||||
\(643\) | 7.67598 | − | 7.67598i | 0.302711 | − | 0.302711i | −0.539363 | − | 0.842074i | \(-0.681335\pi\) |
0.842074 | + | 0.539363i | \(0.181335\pi\) | |||||||
\(644\) | −1.82370 | − | 3.90589i | −0.0718639 | − | 0.153913i | ||||
\(645\) | −38.4750 | − | 8.58782i | −1.51495 | − | 0.338145i | ||||
\(646\) | −16.5866 | − | 28.1424i | −0.652589 | − | 1.10725i | ||||
\(647\) | −4.62240 | + | 14.2263i | −0.181725 | + | 0.559293i | −0.999877 | − | 0.0157098i | \(-0.994999\pi\) |
0.818151 | + | 0.575003i | \(0.194999\pi\) | |||||||
\(648\) | −13.7570 | + | 14.5185i | −0.540427 | + | 0.570339i | ||||
\(649\) | − | 3.78955i | − | 0.148753i | ||||||
\(650\) | −7.14410 | + | 12.0556i | −0.280215 | + | 0.472861i | ||||
\(651\) | 1.52368 | − | 1.52368i | 0.0597177 | − | 0.0597177i | ||||
\(652\) | −0.655031 | + | 19.0280i | −0.0256530 | + | 0.745195i | ||||
\(653\) | −10.0094 | − | 19.6445i | −0.391698 | − | 0.768750i | 0.607985 | − | 0.793949i | \(-0.291978\pi\) |
−0.999682 | + | 0.0251984i | \(0.991978\pi\) | |||||||
\(654\) | −4.90696 | + | 18.9932i | −0.191877 | + | 0.742693i | ||||
\(655\) | 11.9953 | + | 4.74503i | 0.468695 | + | 0.185404i | ||||
\(656\) | −35.3434 | + | 22.1337i | −1.37993 | + | 0.864177i | ||||
\(657\) | 10.1362i | 0.395450i | ||||||||
\(658\) | −0.124485 | + | 0.0490716i | −0.00485293 | + | 0.00191301i | ||||
\(659\) | 6.60838 | + | 41.7237i | 0.257426 | + | 1.62532i | 0.690059 | + | 0.723753i | \(0.257584\pi\) |
−0.432633 | + | 0.901570i | \(0.642416\pi\) | |||||||
\(660\) | −10.5907 | + | 2.33741i | −0.412241 | + | 0.0909834i | ||||
\(661\) | −3.01540 | + | 19.0385i | −0.117286 | + | 0.740512i | 0.857020 | + | 0.515283i | \(0.172313\pi\) |
−0.974306 | + | 0.225229i | \(0.927687\pi\) | |||||||
\(662\) | 23.4548 | − | 5.20589i | 0.911595 | − | 0.202333i | ||||
\(663\) | −17.0858 | − | 12.4135i | −0.663556 | − | 0.482102i | ||||
\(664\) | 1.36622 | + | 50.7326i | 0.0530197 | + | 1.96881i | ||||
\(665\) | −4.67056 | − | 1.84755i | −0.181117 | − | 0.0716450i | ||||
\(666\) | −33.8746 | + | 7.51861i | −1.31261 | + | 0.291340i | ||||
\(667\) | −11.0661 | + | 21.7184i | −0.428480 | + | 0.840939i | ||||
\(668\) | 50.3818 | − | 6.21146i | 1.94933 | − | 0.240328i | ||||
\(669\) | 8.76004 | − | 17.1926i | 0.338683 | − | 0.664703i | ||||
\(670\) | −9.95739 | − | 30.7704i | −0.384688 | − | 1.18876i | ||||
\(671\) | 1.45009 | − | 4.46293i | 0.0559803 | − | 0.172290i | ||||
\(672\) | 4.11400 | + | 4.17607i | 0.158701 | + | 0.161095i | ||||
\(673\) | −6.01039 | − | 8.27260i | −0.231684 | − | 0.318885i | 0.677308 | − | 0.735700i | \(-0.263146\pi\) |
−0.908992 | + | 0.416814i | \(0.863146\pi\) | |||||||
\(674\) | 0.0955568 | + | 1.55601i | 0.00368071 | + | 0.0599353i | ||||
\(675\) | 6.95658 | − | 0.222880i | 0.267759 | − | 0.00857867i | ||||
\(676\) | 2.22024 | + | 18.0086i | 0.0853937 | + | 0.692638i | ||||
\(677\) | −45.8325 | − | 7.25916i | −1.76149 | − | 0.278992i | −0.809944 | − | 0.586508i | \(-0.800502\pi\) |
−0.951543 | + | 0.307516i | \(0.900502\pi\) | |||||||
\(678\) | 56.7847 | − | 33.4677i | 2.18080 | − | 1.28532i | ||||
\(679\) | 1.70918 | + | 0.555347i | 0.0655924 | + | 0.0213123i | ||||
\(680\) | −16.2349 | + | 20.7499i | −0.622579 | + | 0.795722i | ||||
\(681\) | 28.8158 | − | 9.36283i | 1.10422 | − | 0.358784i | ||||
\(682\) | −1.84669 | + | 2.08835i | −0.0707136 | + | 0.0799671i | ||||
\(683\) | −4.17436 | + | 8.19265i | −0.159728 | + | 0.313483i | −0.956975 | − | 0.290169i | \(-0.906288\pi\) |
0.797248 | + | 0.603652i | \(0.206288\pi\) | |||||||
\(684\) | −37.7765 | + | 10.8525i | −1.44442 | + | 0.414956i | ||||
\(685\) | 9.42223 | − | 15.9432i | 0.360005 | − | 0.609160i | ||||
\(686\) | 6.11495 | − | 5.04332i | 0.233470 | − | 0.192555i | ||||
\(687\) | 10.1649 | − | 13.9908i | 0.387816 | − | 0.533783i | ||||
\(688\) | −10.7963 | − | 25.3646i | −0.411605 | − | 0.967015i | ||||
\(689\) | 11.1650 | − | 8.11185i | 0.425353 | − | 0.309037i | ||||
\(690\) | −13.2518 | − | 40.9507i | −0.504486 | − | 1.55897i | ||||
\(691\) | −4.31916 | − | 27.2701i | −0.164309 | − | 1.03740i | −0.922676 | − | 0.385577i | \(-0.874003\pi\) |
0.758367 | − | 0.651828i | \(-0.225997\pi\) | |||||||
\(692\) | −8.46666 | − | 3.07686i | −0.321854 | − | 0.116965i | ||||
\(693\) | −0.962409 | − | 0.962409i | −0.0365589 | − | 0.0365589i | ||||
\(694\) | 2.52574 | − | 5.81275i | 0.0958758 | − | 0.220649i | ||||
\(695\) | 21.4707 | + | 1.34423i | 0.814432 | + | 0.0509895i | ||||
\(696\) | 4.30225 | − | 32.8676i | 0.163076 | − | 1.24584i | ||||
\(697\) | 13.4205 | − | 41.3041i | 0.508339 | − | 1.56451i | ||||
\(698\) | 32.5619 | + | 3.12721i | 1.23249 | + | 0.118367i | ||||
\(699\) | 33.1701 | − | 33.1701i | 1.25461 | − | 1.25461i | ||||
\(700\) | −0.00965397 | + | 4.05091i | −0.000364886 | + | 0.153110i | ||||
\(701\) | 2.52666 | + | 2.52666i | 0.0954307 | + | 0.0954307i | 0.753210 | − | 0.657780i | \(-0.228504\pi\) |
−0.657780 | + | 0.753210i | \(0.728504\pi\) | |||||||
\(702\) | −3.00982 | + | 2.48236i | −0.113598 | + | 0.0936906i | ||||
\(703\) | 36.5085 | + | 11.8623i | 1.37694 | + | 0.447396i | ||||
\(704\) | −5.64355 | − | 5.06631i | −0.212699 | − | 0.190944i | ||||
\(705\) | −1.29398 | + | 0.332660i | −0.0487341 | + | 0.0125287i | ||||
\(706\) | −26.7371 | + | 10.5397i | −1.00626 | + | 0.396666i | ||||
\(707\) | 2.48272 | − | 2.48272i | 0.0933725 | − | 0.0933725i | ||||
\(708\) | −18.5315 | + | 8.65257i | −0.696457 | + | 0.325184i | ||||
\(709\) | 2.21028 | − | 0.350074i | 0.0830089 | − | 0.0131473i | −0.114792 | − | 0.993390i | \(-0.536620\pi\) |
0.197801 | + | 0.980242i | \(0.436620\pi\) | |||||||
\(710\) | −13.3234 | − | 26.2258i | −0.500017 | − | 0.984236i | ||||
\(711\) | 21.8831 | + | 30.1196i | 0.820682 | + | 1.12957i | ||||
\(712\) | −17.1406 | + | 36.0048i | −0.642370 | + | 1.34934i | ||||
\(713\) | −8.95049 | − | 6.50291i | −0.335199 | − | 0.243536i | ||||
\(714\) | −6.07703 | − | 0.583632i | −0.227427 | − | 0.0218419i | ||||
\(715\) | 4.18224 | − | 0.396629i | 0.156407 | − | 0.0148331i | ||||
\(716\) | −3.06036 | − | 10.6528i | −0.114371 | − | 0.398114i | ||||
\(717\) | −19.6986 | − | 10.0369i | −0.735658 | − | 0.374836i | ||||
\(718\) | −2.95561 | − | 48.1280i | −0.110302 | − | 1.79612i | ||||
\(719\) | 2.11868 | + | 6.52061i | 0.0790133 | + | 0.243178i | 0.982759 | − | 0.184892i | \(-0.0591936\pi\) |
−0.903746 | + | 0.428070i | \(0.859194\pi\) | |||||||
\(720\) | 19.2864 | + | 25.1578i | 0.718761 | + | 0.937578i | ||||
\(721\) | 1.53272 | − | 4.71721i | 0.0570813 | − | 0.175678i | ||||
\(722\) | 16.0843 | + | 4.15542i | 0.598595 | + | 0.154649i | ||||
\(723\) | 7.96526 | − | 50.2907i | 0.296231 | − | 1.87033i | ||||
\(724\) | −26.3396 | + | 33.7476i | −0.978904 | + | 1.25422i | ||||
\(725\) | 18.0910 | − | 14.0505i | 0.671881 | − | 0.521823i | ||||
\(726\) | −27.3760 | − | 24.2082i | −1.01602 | − | 0.898449i | ||||
\(727\) | −2.09385 | + | 1.52127i | −0.0776565 | + | 0.0564207i | −0.625936 | − | 0.779874i | \(-0.715283\pi\) |
0.548280 | + | 0.836295i | \(0.315283\pi\) | |||||||
\(728\) | −1.38365 | − | 1.80043i | −0.0512814 | − | 0.0667285i | ||||
\(729\) | −33.9958 | − | 11.0459i | −1.25910 | − | 0.409108i | ||||
\(730\) | −8.93099 | − | 1.42544i | −0.330551 | − | 0.0527579i | ||||
\(731\) | 25.5797 | + | 13.0335i | 0.946099 | + | 0.482062i | ||||
\(732\) | −25.1354 | + | 3.09889i | −0.929032 | + | 0.114538i | ||||
\(733\) | 25.6399 | + | 13.0642i | 0.947031 | + | 0.482537i | 0.858089 | − | 0.513500i | \(-0.171651\pi\) |
0.0889419 | + | 0.996037i | \(0.471651\pi\) | |||||||
\(734\) | −1.44234 | + | 2.26526i | −0.0532379 | + | 0.0836124i | ||||
\(735\) | 33.0091 | − | 20.9624i | 1.21756 | − | 0.773210i | ||||
\(736\) | 17.8729 | − | 24.2165i | 0.658804 | − | 0.892634i | ||||
\(737\) | −5.69884 | + | 7.84378i | −0.209920 | + | 0.288929i | ||||
\(738\) | −44.0780 | − | 28.0655i | −1.62254 | − | 1.03310i | ||||
\(739\) | 43.5967 | + | 6.90504i | 1.60373 | + | 0.254006i | 0.893200 | − | 0.449660i | \(-0.148455\pi\) |
0.710531 | + | 0.703666i | \(0.248455\pi\) | |||||||
\(740\) | −1.86091 | − | 30.9042i | −0.0684083 | − | 1.13606i | ||||
\(741\) | 27.7655 | − | 4.39763i | 1.01999 | − | 0.161551i | ||||
\(742\) | 1.58987 | − | 3.65893i | 0.0583660 | − | 0.134324i | ||||
\(743\) | −39.6811 | −1.45576 | −0.727879 | − | 0.685706i | \(-0.759494\pi\) | ||||
−0.727879 | + | 0.685706i | \(0.759494\pi\) | |||||||
\(744\) | 14.4289 | + | 4.26236i | 0.528988 | + | 0.156266i | ||||
\(745\) | 10.5925 | + | 8.75745i | 0.388081 | + | 0.320848i | ||||
\(746\) | 0.830365 | − | 0.489400i | 0.0304018 | − | 0.0179182i | ||||
\(747\) | −56.6622 | + | 28.8708i | −2.07316 | + | 1.05633i | ||||
\(748\) | 7.89354 | + | 0.271732i | 0.288616 | + | 0.00993549i | ||||
\(749\) | 0.352220 | + | 0.352220i | 0.0128698 | + | 0.0128698i | ||||
\(750\) | −5.09274 | + | 40.1261i | −0.185960 | + | 1.46520i | ||||
\(751\) | −9.22571 | −0.336651 | −0.168326 | − | 0.985731i | \(-0.553836\pi\) | ||||
−0.168326 | + | 0.985731i | \(0.553836\pi\) | |||||||
\(752\) | −0.716288 | − | 0.599828i | −0.0261203 | − | 0.0218735i | ||||
\(753\) | −6.80884 | − | 2.21233i | −0.248128 | − | 0.0806216i | ||||
\(754\) | −3.21176 | + | 12.4317i | −0.116966 | + | 0.452735i | ||||
\(755\) | −19.6004 | + | 1.85883i | −0.713330 | + | 0.0676498i | ||||
\(756\) | −0.385205 | + | 1.05998i | −0.0140098 | + | 0.0385510i | ||||
\(757\) | −0.117505 | − | 0.117505i | −0.00427080 | − | 0.00427080i | 0.704968 | − | 0.709239i | \(-0.250961\pi\) |
−0.709239 | + | 0.704968i | \(0.750961\pi\) | |||||||
\(758\) | −35.2157 | − | 15.3018i | −1.27909 | − | 0.555788i | ||||
\(759\) | −7.58429 | + | 10.4389i | −0.275292 | + | 0.378907i | ||||
\(760\) | −4.24967 | − | 34.8111i | −0.154152 | − | 1.26273i | ||||
\(761\) | −13.6152 | − | 18.7397i | −0.493549 | − | 0.679312i | 0.487489 | − | 0.873129i | \(-0.337913\pi\) |
−0.981038 | + | 0.193817i | \(0.937913\pi\) | |||||||
\(762\) | −10.1808 | − | 45.8688i | −0.368811 | − | 1.66165i | ||||
\(763\) | −0.343616 | − | 2.16951i | −0.0124397 | − | 0.0785414i | ||||
\(764\) | −33.7404 | + | 31.4947i | −1.22069 | + | 1.13944i | ||||
\(765\) | −32.2203 | − | 7.19175i | −1.16493 | − | 0.260018i | ||||
\(766\) | 10.5059 | − | 16.5000i | 0.379595 | − | 0.596171i | ||||
\(767\) | 7.53434 | − | 2.44806i | 0.272049 | − | 0.0883942i | ||||
\(768\) | −11.8893 | + | 39.1657i | −0.429018 | + | 1.41327i | ||||
\(769\) | −7.35746 | − | 22.6439i | −0.265317 | − | 0.816561i | −0.991620 | − | 0.129187i | \(-0.958763\pi\) |
0.726304 | − | 0.687374i | \(-0.241237\pi\) | |||||||
\(770\) | 0.983321 | − | 0.712636i | 0.0354364 | − | 0.0256816i | ||||
\(771\) | 18.4290 | − | 9.39003i | 0.663703 | − | 0.338174i | ||||
\(772\) | −27.9341 | − | 5.41547i | −1.00537 | − | 0.194907i | ||||
\(773\) | 20.2288 | + | 3.20393i | 0.727579 | + | 0.115237i | 0.509226 | − | 0.860633i | \(-0.329932\pi\) |
0.218353 | + | 0.975870i | \(0.429932\pi\) | |||||||
\(774\) | 22.8820 | − | 25.8764i | 0.822478 | − | 0.930107i | ||||
\(775\) | 5.01426 | + | 9.10769i | 0.180117 | + | 0.327158i | ||||
\(776\) | 2.29586 | + | 12.3362i | 0.0824165 | + | 0.442842i | ||||
\(777\) | 5.80398 | − | 4.21684i | 0.208217 | − | 0.151278i | ||||
\(778\) | −4.20969 | − | 7.14259i | −0.150925 | − | 0.256074i | ||||
\(779\) | 26.2448 | + | 51.5083i | 0.940317 | + | 1.84548i | ||||
\(780\) | −11.4888 | − | 19.5462i | −0.411364 | − | 0.699868i | ||||
\(781\) | −4.00350 | + | 7.85731i | −0.143256 | + | 0.281157i | ||||
\(782\) | 1.92131 | + | 31.2859i | 0.0687059 | + | 1.11878i | ||||
\(783\) | 6.06513 | − | 1.97068i | 0.216750 | − | 0.0704264i | ||||
\(784\) | 25.3627 | + | 10.2180i | 0.905810 | + | 0.364927i | ||||
\(785\) | −18.0449 | − | 14.9188i | −0.644050 | − | 0.532473i | ||||
\(786\) | −16.1011 | + | 13.2794i | −0.574305 | + | 0.473660i | ||||
\(787\) | −8.89244 | + | 1.40842i | −0.316981 | + | 0.0502049i | −0.312898 | − | 0.949787i | \(-0.601300\pi\) |
−0.00408341 | + | 0.999992i | \(0.501300\pi\) | |||||||
\(788\) | −14.3693 | − | 50.0181i | −0.511885 | − | 1.78182i | ||||
\(789\) | −2.65455 | + | 16.7602i | −0.0945046 | + | 0.596679i | ||||
\(790\) | −29.6157 | + | 15.0455i | −1.05368 | + | 0.535296i | ||||
\(791\) | −4.33815 | + | 5.97095i | −0.154247 | + | 0.212303i | ||||
\(792\) | 2.69226 | − | 9.11378i | 0.0956652 | − | 0.323844i | ||||
\(793\) | 9.80991 | 0.348360 | ||||||||
\(794\) | −42.9641 | − | 18.6686i | −1.52474 | − | 0.662526i | ||||
\(795\) | 20.2666 | − | 34.2929i | 0.718783 | − | 1.21625i | ||||
\(796\) | 28.0697 | + | 5.44176i | 0.994903 | + | 0.192878i | ||||
\(797\) | 16.8446 | + | 33.0593i | 0.596665 | + | 1.17102i | 0.969950 | + | 0.243304i | \(0.0782312\pi\) |
−0.373285 | + | 0.927717i | \(0.621769\pi\) | |||||||
\(798\) | 6.26920 | − | 5.17054i | 0.221927 | − | 0.183035i | ||||
\(799\) | 0.972978 | 0.0344215 | ||||||||
\(800\) | −24.8788 | + | 13.4553i | −0.879598 | + | 0.475717i | ||||
\(801\) | −49.9673 | −1.76551 | ||||||||
\(802\) | 22.0202 | − | 18.1612i | 0.777562 | − | 0.641296i | ||||
\(803\) | 1.23089 | + | 2.41575i | 0.0434370 | + | 0.0852499i | ||||
\(804\) | 51.3694 | + | 9.95878i | 1.81166 | + | 0.351219i | ||||
\(805\) | 3.18828 | + | 3.61416i | 0.112372 | + | 0.127383i | ||||
\(806\) | −5.34500 | − | 2.32250i | −0.188270 | − | 0.0818065i | ||||
\(807\) | −1.97488 | −0.0695191 | ||||||||
\(808\) | 23.5108 | + | 6.94521i | 0.827107 | + | 0.244332i | ||||
\(809\) | 31.1859 | − | 42.9238i | 1.09644 | − | 1.50912i | 0.256418 | − | 0.966566i | \(-0.417458\pi\) |
0.840021 | − | 0.542553i | \(-0.182542\pi\) | |||||||
\(810\) | 10.1758 | − | 19.9124i | 0.357541 | − | 0.699652i | ||||
\(811\) | −2.27225 | + | 14.3464i | −0.0797895 | + | 0.503771i | 0.915135 | + | 0.403147i | \(0.132084\pi\) |
−0.994925 | + | 0.100624i | \(0.967916\pi\) | |||||||
\(812\) | 1.02484 | + | 3.56738i | 0.0359649 | + | 0.125190i | ||||
\(813\) | 43.1429 | − | 6.83316i | 1.51309 | − | 0.239649i | ||||
\(814\) | −7.16027 | + | 5.90545i | −0.250967 | + | 0.206986i | ||||
\(815\) | −5.30006 | − | 20.6162i | −0.185653 | − | 0.722154i | ||||
\(816\) | −16.6943 | − | 39.2211i | −0.584417 | − | 1.37301i | ||||
\(817\) | −36.3438 | + | 11.8088i | −1.27151 | + | 0.413138i | ||||
\(818\) | 2.39464 | + | 38.9934i | 0.0837266 | + | 1.36337i | ||||
\(819\) | 1.29173 | − | 2.53517i | 0.0451368 | − | 0.0885860i | ||||
\(820\) | 30.9271 | − | 34.8903i | 1.08002 | − | 1.21842i | ||||
\(821\) | −4.10586 | − | 8.05820i | −0.143295 | − | 0.281233i | 0.808193 | − | 0.588918i | \(-0.200446\pi\) |
−0.951488 | + | 0.307685i | \(0.900446\pi\) | |||||||
\(822\) | 15.2137 | + | 25.8130i | 0.530637 | + | 0.900333i | ||||
\(823\) | 39.1545 | − | 28.4474i | 1.36484 | − | 0.991614i | 0.366719 | − | 0.930332i | \(-0.380481\pi\) |
0.998120 | − | 0.0612827i | \(-0.0195191\pi\) | |||||||
\(824\) | 34.0468 | − | 6.33639i | 1.18608 | − | 0.220739i | ||||
\(825\) | 10.6222 | − | 5.84808i | 0.369818 | − | 0.203604i | ||||
\(826\) | 1.51702 | − | 1.71553i | 0.0527838 | − | 0.0596910i | ||||
\(827\) | 14.2642 | + | 2.25923i | 0.496016 | + | 0.0785612i | 0.399431 | − | 0.916763i | \(-0.369208\pi\) |
0.0965855 | + | 0.995325i | \(0.469208\pi\) | |||||||
\(828\) | 37.0247 | + | 7.17784i | 1.28670 | + | 0.249447i | ||||
\(829\) | −34.3505 | + | 17.5024i | −1.19304 | + | 0.607885i | −0.933754 | − | 0.357916i | \(-0.883488\pi\) |
−0.259287 | + | 0.965800i | \(0.583488\pi\) | |||||||
\(830\) | −17.4697 | − | 53.9851i | −0.606383 | − | 1.87385i | ||||
\(831\) | 16.0363 | + | 49.3548i | 0.556295 | + | 1.71210i | ||||
\(832\) | 6.42703 | − | 14.4933i | 0.222817 | − | 0.502464i | ||||
\(833\) | −27.0827 | + | 8.79971i | −0.938360 | + | 0.304892i | ||||
\(834\) | −18.6939 | + | 29.3597i | −0.647318 | + | 1.01664i | ||||
\(835\) | −52.0803 | + | 22.5561i | −1.80231 | + | 0.780586i | ||||
\(836\) | −7.68537 | + | 7.17385i | −0.265804 | + | 0.248113i | ||||
\(837\) | 0.452803 | + | 2.85889i | 0.0156512 | + | 0.0988176i | ||||
\(838\) | 3.59148 | + | 16.1811i | 0.124065 | + | 0.558968i | ||||
\(839\) | 11.2618 | + | 15.5005i | 0.388799 | + | 0.535136i | 0.957889 | − | 0.287139i | \(-0.0927043\pi\) |
−0.569090 | + | 0.822275i | \(0.692704\pi\) | |||||||
\(840\) | −5.73009 | − | 3.18146i | −0.197707 | − | 0.109771i | ||||
\(841\) | −4.70934 | + | 6.48185i | −0.162391 | + | 0.223512i | ||||
\(842\) | 5.56666 | + | 2.41881i | 0.191840 | + | 0.0833577i | ||||
\(843\) | 46.6344 | + | 46.6344i | 1.60617 | + | 1.60617i | ||||
\(844\) | −8.40624 | + | 23.1316i | −0.289355 | + | 0.796223i | ||||
\(845\) | −8.06250 | − | 18.6157i | −0.277358 | − | 0.640400i | ||||
\(846\) | 0.292836 | − | 1.13347i | 0.0100679 | − | 0.0389695i | ||||
\(847\) | 3.89168 | + | 1.26448i | 0.133720 | + | 0.0434481i | ||||
\(848\) | 27.7465 | − | 2.45522i | 0.952818 | − | 0.0843125i | ||||
\(849\) | 83.6258 | 2.87003 | ||||||||
\(850\) | 10.8678 | − | 27.3780i | 0.372761 | − | 0.939057i | ||||
\(851\) | −26.0456 | − | 26.0456i | −0.892831 | − | 0.892831i | ||||
\(852\) | 47.5646 | + | 1.63739i | 1.62954 | + | 0.0560961i | ||||
\(853\) | 23.2425 | − | 11.8427i | 0.795810 | − | 0.405485i | −0.00830057 | − | 0.999966i | \(-0.502642\pi\) |
0.804110 | + | 0.594480i | \(0.202642\pi\) | |||||||
\(854\) | 2.44304 | − | 1.43988i | 0.0835991 | − | 0.0492716i | ||||
\(855\) | 37.0957 | − | 23.5576i | 1.26865 | − | 0.805652i | ||||
\(856\) | −0.985305 | + | 3.33544i | −0.0336770 | + | 0.114003i | ||||
\(857\) | −10.5923 | −0.361827 | −0.180913 | − | 0.983499i | \(-0.557905\pi\) | ||||
−0.180913 | + | 0.983499i | \(0.557905\pi\) | |||||||
\(858\) | −2.70871 | + | 6.23383i | −0.0924738 | + | 0.212819i | ||||
\(859\) | 11.7244 | − | 1.85696i | 0.400030 | − | 0.0633585i | 0.0468217 | − | 0.998903i | \(-0.485091\pi\) |
0.353208 | + | 0.935545i | \(0.385091\pi\) | |||||||
\(860\) | 19.5818 | + | 23.8003i | 0.667733 | + | 0.811584i | ||||
\(861\) | 10.6708 | + | 1.69009i | 0.363660 | + | 0.0575981i | ||||
\(862\) | −37.8371 | − | 24.0917i | −1.28874 | − | 0.820567i | ||||
\(863\) | −7.81712 | + | 10.7593i | −0.266098 | + | 0.366252i | −0.921067 | − | 0.389403i | \(-0.872681\pi\) |
0.654970 | + | 0.755655i | \(0.272681\pi\) | |||||||
\(864\) | −7.78657 | + | 1.17358i | −0.264904 | + | 0.0399258i | ||||
\(865\) | 10.0520 | + | 0.629332i | 0.341779 | + | 0.0213979i | ||||
\(866\) | 8.96718 | − | 14.0833i | 0.304717 | − | 0.478572i | ||||
\(867\) | 0.805124 | + | 0.410231i | 0.0273435 | + | 0.0139322i | ||||
\(868\) | −1.67200 | + | 0.206137i | −0.0567513 | + | 0.00699674i | ||||
\(869\) | 8.87295 | + | 4.52099i | 0.300994 | + | 0.153364i | ||||
\(870\) | 5.75393 | + | 36.6112i | 0.195077 | + | 1.24124i | ||||
\(871\) | −19.2764 | − | 6.26328i | −0.653155 | − | 0.212223i | ||||
\(872\) | 12.1605 | − | 9.34544i | 0.411806 | − | 0.316477i | ||||
\(873\) | −12.7203 | + | 9.24187i | −0.430518 | + | 0.312790i | ||||
\(874\) | −31.2555 | − | 27.6387i | −1.05723 | − | 0.934894i | ||||
\(875\) | −1.26756 | − | 4.34807i | −0.0428513 | − | 0.146992i | ||||
\(876\) | 9.00296 | − | 11.5350i | 0.304182 | − | 0.389733i | ||||
\(877\) | −1.81823 | + | 11.4799i | −0.0613974 | + | 0.387648i | 0.937785 | + | 0.347217i | \(0.112873\pi\) |
−0.999182 | + | 0.0404311i | \(0.987127\pi\) | |||||||
\(878\) | 19.5524 | + | 5.05144i | 0.659863 | + | 0.170478i | ||||
\(879\) | 17.5116 | − | 53.8952i | 0.590652 | − | 1.81784i | ||||
\(880\) | 7.65154 | + | 3.65381i | 0.257933 | + | 0.123170i | ||||
\(881\) | −4.03410 | − | 12.4157i | −0.135912 | − | 0.418295i | 0.859819 | − | 0.510600i | \(-0.170577\pi\) |
−0.995731 | + | 0.0923050i | \(0.970577\pi\) | |||||||
\(882\) | 2.10017 | + | 34.1984i | 0.0707164 | + | 1.15152i | ||||
\(883\) | −6.07102 | − | 3.09334i | −0.204306 | − | 0.104099i | 0.348844 | − | 0.937181i | \(-0.386574\pi\) |
−0.553150 | + | 0.833082i | \(0.686574\pi\) | |||||||
\(884\) | 4.55898 | + | 15.8694i | 0.153335 | + | 0.533745i | ||||
\(885\) | 17.1474 | − | 15.1268i | 0.576405 | − | 0.508483i | ||||
\(886\) | −14.7014 | − | 1.41191i | −0.493903 | − | 0.0474339i | ||||
\(887\) | −17.0926 | − | 12.4185i | −0.573914 | − | 0.416973i | 0.262611 | − | 0.964902i | \(-0.415417\pi\) |
−0.836525 | + | 0.547929i | \(0.815417\pi\) | |||||||
\(888\) | 45.2275 | + | 21.5311i | 1.51773 | + | 0.722538i | ||||
\(889\) | 3.09236 | + | 4.25626i | 0.103714 | + | 0.142751i | ||||
\(890\) | 7.02685 | − | 44.0262i | 0.235541 | − | 1.47576i | ||||
\(891\) | −6.62119 | + | 1.04869i | −0.221818 | + | 0.0351326i | ||||
\(892\) | −13.6690 | + | 6.38223i | −0.457673 | + | 0.213693i | ||||
\(893\) | −0.915793 | + | 0.915793i | −0.0306459 | + | 0.0306459i | ||||
\(894\) | −20.6872 | + | 8.15484i | −0.691884 | + | 0.272739i | ||||
\(895\) | 6.64313 | + | 10.4608i | 0.222055 | + | 0.349667i | ||||
\(896\) | −0.526719 | − | 4.55272i | −0.0175964 | − | 0.152096i | ||||
\(897\) | −25.6539 | − | 8.33547i | −0.856560 | − | 0.278313i | ||||
\(898\) | −31.8907 | + | 26.3020i | −1.06421 | + | 0.877708i | ||||
\(899\) | 6.73595 | + | 6.73595i | 0.224657 | + | 0.224657i | ||||
\(900\) | −28.6231 | − | 20.9003i | −0.954103 | − | 0.696676i | ||||
\(901\) | −20.5124 | + | 20.5124i | −0.683367 | + | 0.683367i | ||||
\(902\) | −13.9132 | − | 1.33621i | −0.463259 | − | 0.0444909i | ||||
\(903\) | −2.20692 | + | 6.79221i | −0.0734417 | + | 0.226030i | ||||
\(904\) | −51.0962 | − | 6.68830i | −1.69943 | − | 0.222450i | ||||
\(905\) | 17.6059 | − | 44.5071i | 0.585239 | − | 1.47947i | ||||
\(906\) | 12.6946 | − | 29.2153i | 0.421748 | − | 0.970612i | ||||
\(907\) | −8.23972 | − | 8.23972i | −0.273595 | − | 0.273595i | 0.556950 | − | 0.830546i | \(-0.311971\pi\) |
−0.830546 | + | 0.556950i | \(0.811971\pi\) | |||||||
\(908\) | −22.2634 | − | 8.09073i | −0.738838 | − | 0.268500i | ||||
\(909\) | 4.80546 | + | 30.3405i | 0.159387 | + | 1.00633i | ||||
\(910\) | 2.05208 | + | 1.49466i | 0.0680258 | + | 0.0495476i | ||||
\(911\) | −18.8726 | + | 13.7118i | −0.625278 | + | 0.454291i | −0.854761 | − | 0.519022i | \(-0.826296\pi\) |
0.229483 | + | 0.973313i | \(0.426296\pi\) | |||||||
\(912\) | 52.6291 | + | 21.2029i | 1.74272 | + | 0.702097i | ||||
\(913\) | −9.99833 | + | 13.7615i | −0.330896 | + | 0.455440i | ||||
\(914\) | −10.8642 | + | 8.96030i | −0.359357 | + | 0.296380i | ||||
\(915\) | 25.9828 | − | 11.2532i | 0.858965 | − | 0.372019i | ||||
\(916\) | −12.9948 | + | 3.73316i | −0.429359 | + | 0.123347i | ||||
\(917\) | 1.06095 | − | 2.08223i | 0.0350357 | − | 0.0687614i | ||||
\(918\) | 5.43246 | − | 6.14335i | 0.179298 | − | 0.202761i | ||||
\(919\) | 15.1636 | − | 4.92695i | 0.500201 | − | 0.162525i | −0.0480403 | − | 0.998845i | \(-0.515298\pi\) |
0.548241 | + | 0.836320i | \(0.315298\pi\) | |||||||
\(920\) | −11.5311 | + | 31.6131i | −0.380170 | + | 1.04225i | ||||
\(921\) | 12.3084 | + | 3.99924i | 0.405575 | + | 0.131779i | ||||
\(922\) | 16.7682 | − | 9.88283i | 0.552232 | − | 0.325474i | ||||
\(923\) | −18.2081 | − | 2.88388i | −0.599326 | − | 0.0949240i | ||||
\(924\) | 0.240416 | + | 1.95004i | 0.00790910 | + | 0.0641515i | ||||
\(925\) | 11.7452 | + | 32.5610i | 0.386179 | + | 1.07060i | ||||
\(926\) | 1.19106 | + | 19.3947i | 0.0391406 | + | 0.637350i | ||||
\(927\) | 25.5069 | + | 35.1072i | 0.837755 | + | 1.15307i | ||||
\(928\) | −18.4618 | + | 18.1873i | −0.606037 | + | 0.597029i | ||||
\(929\) | −2.60820 | + | 8.02721i | −0.0855722 | + | 0.263364i | −0.984682 | − | 0.174358i | \(-0.944215\pi\) |
0.899110 | + | 0.437723i | \(0.144215\pi\) | |||||||
\(930\) | −16.8211 | − | 0.0200437i | −0.551586 | − | 0.000657259i | ||||
\(931\) | 17.2085 | − | 33.7735i | 0.563984 | − | 1.10688i | ||||
\(932\) | −36.3990 | + | 4.48755i | −1.19229 | + | 0.146994i | ||||
\(933\) | 13.9362 | − | 27.3513i | 0.456250 | − | 0.895441i | ||||
\(934\) | 13.7102 | − | 3.04305i | 0.448612 | − | 0.0995716i | ||||
\(935\) | −8.55237 | + | 2.19867i | −0.279692 | + | 0.0719040i | ||||
\(936\) | 19.8591 | − | 0.534803i | 0.649116 | − | 0.0174806i | ||||
\(937\) | 34.4632 | + | 25.0390i | 1.12586 | + | 0.817987i | 0.985087 | − | 0.172055i | \(-0.0550406\pi\) |
0.140775 | + | 0.990042i | \(0.455041\pi\) | |||||||
\(938\) | −5.71986 | + | 1.26955i | −0.186760 | + | 0.0414523i | ||||
\(939\) | 12.5070 | − | 78.9662i | 0.408151 | − | 2.57696i | ||||
\(940\) | 0.957519 | + | 0.417416i | 0.0312308 | + | 0.0136146i | ||||
\(941\) | −3.61056 | − | 22.7962i | −0.117701 | − | 0.743134i | −0.973982 | − | 0.226624i | \(-0.927231\pi\) |
0.856281 | − | 0.516510i | \(-0.172769\pi\) | |||||||
\(942\) | 35.2417 | − | 13.8922i | 1.14824 | − | 0.452631i | ||||
\(943\) | − | 55.4700i | − | 1.80635i | ||||||
\(944\) | 15.5834 | + | 3.58144i | 0.507196 | + | 0.116566i | ||||
\(945\) | 0.0787887 | − | 1.25845i | 0.00256300 | − | 0.0409375i | ||||
\(946\) | 2.31117 | − | 8.94576i | 0.0751425 | − | 0.290852i | ||||
\(947\) | −12.3865 | − | 24.3098i | −0.402506 | − | 0.789963i | 0.597422 | − | 0.801927i | \(-0.296192\pi\) |
−0.999928 | + | 0.0119640i | \(0.996192\pi\) | |||||||
\(948\) | 1.84904 | − | 53.7128i | 0.0600540 | − | 1.74451i | ||||
\(949\) | −4.00781 | + | 4.00781i | −0.130099 | + | 0.130099i | ||||
\(950\) | 15.5399 | + | 35.9979i | 0.504179 | + | 1.16793i | ||||
\(951\) | 42.8736i | 1.39027i | ||||||||
\(952\) | 3.46463 | + | 3.28292i | 0.112289 | + | 0.106400i | ||||
\(953\) | −17.1328 | + | 52.7293i | −0.554986 | + | 1.70807i | 0.140995 | + | 0.990010i | \(0.454970\pi\) |
−0.695981 | + | 0.718060i | \(0.745030\pi\) | |||||||
\(954\) | 17.7223 | + | 30.0695i | 0.573781 | + | 0.973536i | ||||
\(955\) | 26.2547 | − | 44.4253i | 0.849582 | − | 1.43757i | ||||
\(956\) | 7.31252 | + | 15.6615i | 0.236504 | + | 0.506529i | ||||
\(957\) | 7.85608 | − | 7.85608i | 0.253951 | − | 0.253951i | ||||
\(958\) | 20.0945 | + | 50.9758i | 0.649224 | + | 1.64695i | ||||
\(959\) | −2.71426 | − | 1.97202i | −0.0876480 | − | 0.0636800i | ||||
\(960\) | 0.397170 | − | 45.7599i | 0.0128186 | − | 1.47690i | ||||
\(961\) | 21.5816 | − | 15.6799i | 0.696180 | − | 0.505804i | ||||
\(962\) | −16.3667 | − | 10.4210i | −0.527683 | − | 0.335988i | ||||
\(963\) | −4.30435 | + | 0.681743i | −0.138706 | + | 0.0219689i | ||||
\(964\) | −29.1003 | + | 27.1634i | −0.937257 | + | 0.874875i | ||||
\(965\) | 31.6707 | − | 3.00354i | 1.01951 | − | 0.0966872i | ||||
\(966\) | −7.61226 | + | 1.68958i | −0.244921 | + | 0.0543613i | ||||
\(967\) | 18.0799 | + | 55.6443i | 0.581411 | + | 1.78940i | 0.613227 | + | 0.789907i | \(0.289871\pi\) |
−0.0318159 | + | 0.999494i | \(0.510129\pi\) | |||||||
\(968\) | 5.22749 | + | 28.0885i | 0.168018 | + | 0.902798i | ||||
\(969\) | −56.1982 | + | 18.2599i | −1.80535 | + | 0.586593i | ||||
\(970\) | −6.35416 | − | 12.5076i | −0.204020 | − | 0.401594i | ||||
\(971\) | −24.2967 | − | 47.6850i | −0.779719 | − | 1.53028i | −0.846423 | − | 0.532511i | \(-0.821248\pi\) |
0.0667044 | − | 0.997773i | \(-0.478752\pi\) | |||||||
\(972\) | 24.9202 | + | 36.9062i | 0.799315 | + | 1.18377i | ||||
\(973\) | 0.609674 | − | 3.84933i | 0.0195452 | − | 0.123404i | ||||
\(974\) | 54.1035 | − | 3.32257i | 1.73359 | − | 0.106462i | ||||
\(975\) | 18.4891 | + | 17.3411i | 0.592124 | + | 0.555360i | ||||
\(976\) | 16.9820 | + | 10.1809i | 0.543581 | + | 0.325884i | ||||
\(977\) | 3.89345 | + | 5.35887i | 0.124562 | + | 0.171445i | 0.866744 | − | 0.498754i | \(-0.166209\pi\) |
−0.742181 | + | 0.670199i | \(0.766209\pi\) | |||||||
\(978\) | 33.3451 | + | 8.61481i | 1.06626 | + | 0.275471i | ||||
\(979\) | −11.9087 | + | 6.06777i | −0.380602 | + | 0.193927i | ||||
\(980\) | −30.4276 | − | 2.95883i | −0.971973 | − | 0.0945162i | ||||
\(981\) | 17.1230 | + | 8.72462i | 0.546696 | + | 0.278556i | ||||
\(982\) | 4.96720 | − | 5.61720i | 0.158510 | − | 0.179252i | ||||
\(983\) | 15.1167 | + | 46.5246i | 0.482149 | + | 1.48390i | 0.836068 | + | 0.548626i | \(0.184849\pi\) |
−0.353918 | + | 0.935276i | \(0.615151\pi\) | |||||||
\(984\) | 25.2333 | + | 71.0887i | 0.804409 | + | 2.26623i | ||||
\(985\) | 31.1915 | + | 49.1167i | 0.993843 | + | 1.56499i | ||||
\(986\) | 2.58015 | − | 26.8656i | 0.0821686 | − | 0.855576i | ||||
\(987\) | 0.0378639 | + | 0.239063i | 0.00120522 | + | 0.00760947i | ||||
\(988\) | −19.2277 | − | 10.6456i | −0.611715 | − | 0.338683i | ||||
\(989\) | 36.2164 | + | 5.73611i | 1.15161 | + | 0.182398i | ||||
\(990\) | −0.0126603 | + | 10.6248i | −0.000402371 | + | 0.337678i | ||||
\(991\) | −7.81995 | − | 5.68153i | −0.248409 | − | 0.180480i | 0.456612 | − | 0.889666i | \(-0.349063\pi\) |
−0.705021 | + | 0.709186i | \(0.749063\pi\) | |||||||
\(992\) | −6.84244 | − | 9.56765i | −0.217248 | − | 0.303773i | ||||
\(993\) | − | 43.4595i | − | 1.37915i | ||||||
\(994\) | −4.95779 | + | 1.95435i | −0.157252 | + | 0.0619881i | ||||
\(995\) | −31.8244 | + | 3.01811i | −1.00890 | + | 0.0956806i | ||||
\(996\) | 90.1249 | + | 17.4722i | 2.85572 | + | 0.553627i | ||||
\(997\) | −2.78032 | + | 1.41665i | −0.0880538 | + | 0.0448656i | −0.497463 | − | 0.867485i | \(-0.665735\pi\) |
0.409409 | + | 0.912351i | \(0.365735\pi\) | |||||||
\(998\) | 20.6707 | + | 1.98519i | 0.654319 | + | 0.0628401i | ||||
\(999\) | 9.63689i | 0.304898i |
(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 | 400.2.bl.a.189.14 | yes | 464 | |
16.5 | even | 4 | inner | 400.2.bl.a.389.49 | yes | 464 | |
25.9 | even | 10 | inner | 400.2.bl.a.109.49 | ✓ | 464 | |
400.309 | even | 20 | inner | 400.2.bl.a.309.14 | yes | 464 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
400.2.bl.a.109.49 | ✓ | 464 | 25.9 | even | 10 | inner | |
400.2.bl.a.189.14 | yes | 464 | 1.1 | even | 1 | trivial | |
400.2.bl.a.309.14 | yes | 464 | 400.309 | even | 20 | inner | |
400.2.bl.a.389.49 | yes | 464 | 16.5 | even | 4 | inner |