Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [349,2,Mod(31,349)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(349, base_ring=CyclotomicField(58))
chi = DirichletCharacter(H, H._module([26]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("349.31");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 349 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 349.g (of order \(29\), degree \(28\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.78677903054\) |
Analytic rank: | \(0\) |
Dimension: | \(756\) |
Relative dimension: | \(27\) over \(\Q(\zeta_{29})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{29}]$ |
Embedding invariants
Embedding label | 31.9 | ||
Character | \(\chi\) | \(=\) | 349.31 |
Dual form | 349.2.g.a.304.9 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/349\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{13}{29}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.195197 | − | 1.19065i | −0.138025 | − | 0.841916i | −0.961549 | − | 0.274634i | \(-0.911443\pi\) |
0.823524 | − | 0.567282i | \(-0.192005\pi\) | |||||||
\(3\) | 0.226589 | − | 0.427392i | 0.130821 | − | 0.246755i | −0.809445 | − | 0.587196i | \(-0.800232\pi\) |
0.940266 | + | 0.340442i | \(0.110577\pi\) | |||||||
\(4\) | 0.515764 | − | 0.173781i | 0.257882 | − | 0.0868905i | ||||
\(5\) | −2.64101 | + | 2.50170i | −1.18109 | + | 1.11879i | −0.190539 | + | 0.981680i | \(0.561024\pi\) |
−0.990555 | + | 0.137113i | \(0.956218\pi\) | |||||||
\(6\) | −0.553103 | − | 0.186362i | −0.225803 | − | 0.0760820i | ||||
\(7\) | 4.84655 | + | 0.527094i | 1.83182 | + | 0.199223i | 0.957951 | − | 0.286932i | \(-0.0926354\pi\) |
0.873873 | + | 0.486155i | \(0.161601\pi\) | |||||||
\(8\) | −1.43790 | − | 2.71216i | −0.508374 | − | 0.958894i | ||||
\(9\) | 1.55224 | + | 2.28938i | 0.517413 | + | 0.763128i | ||||
\(10\) | 3.49416 | + | 2.65619i | 1.10495 | + | 0.839961i | ||||
\(11\) | 1.07847 | + | 3.88431i | 0.325172 | + | 1.17116i | 0.927780 | + | 0.373127i | \(0.121714\pi\) |
−0.602608 | + | 0.798037i | \(0.705872\pi\) | |||||||
\(12\) | 0.0425937 | − | 0.259810i | 0.0122957 | − | 0.0750007i | ||||
\(13\) | −0.274785 | − | 5.06811i | −0.0762116 | − | 1.40564i | −0.747411 | − | 0.664362i | \(-0.768703\pi\) |
0.671199 | − | 0.741277i | \(-0.265780\pi\) | |||||||
\(14\) | −0.318448 | − | 5.87343i | −0.0851088 | − | 1.56974i | ||||
\(15\) | 0.470781 | + | 1.69560i | 0.121555 | + | 0.437802i | ||||
\(16\) | −2.08201 | + | 1.58270i | −0.520502 | + | 0.395675i | ||||
\(17\) | 0.843901 | − | 1.59177i | 0.204676 | − | 0.386060i | −0.759830 | − | 0.650122i | \(-0.774718\pi\) |
0.964506 | + | 0.264062i | \(0.0850625\pi\) | |||||||
\(18\) | 2.42286 | − | 2.29505i | 0.571073 | − | 0.540949i | ||||
\(19\) | 3.40663 | + | 4.01060i | 0.781535 | + | 0.920094i | 0.998425 | − | 0.0561021i | \(-0.0178672\pi\) |
−0.216890 | + | 0.976196i | \(0.569591\pi\) | |||||||
\(20\) | −0.927389 | + | 1.74924i | −0.207370 | + | 0.391142i | ||||
\(21\) | 1.32345 | − | 1.95194i | 0.288800 | − | 0.425949i | ||||
\(22\) | 4.41434 | − | 2.04229i | 0.941140 | − | 0.435418i | ||||
\(23\) | −0.333483 | − | 6.15074i | −0.0695361 | − | 1.28252i | −0.800180 | − | 0.599760i | \(-0.795263\pi\) |
0.730644 | − | 0.682759i | \(-0.239220\pi\) | |||||||
\(24\) | −1.48497 | −0.303118 | ||||||||
\(25\) | 0.445748 | − | 8.22133i | 0.0891495 | − | 1.64427i | ||||
\(26\) | −5.98070 | + | 1.31645i | −1.17291 | + | 0.258177i | ||||
\(27\) | 2.77290 | − | 0.301571i | 0.533645 | − | 0.0580374i | ||||
\(28\) | 2.59127 | − | 0.570382i | 0.489705 | − | 0.107792i | ||||
\(29\) | 0.542735 | + | 3.31054i | 0.100783 | + | 0.614752i | 0.988127 | + | 0.153642i | \(0.0491003\pi\) |
−0.887343 | + | 0.461110i | \(0.847451\pi\) | |||||||
\(30\) | 1.92697 | − | 0.891511i | 0.351815 | − | 0.162767i | ||||
\(31\) | −8.77167 | + | 1.93079i | −1.57544 | + | 0.346780i | −0.914795 | − | 0.403919i | \(-0.867648\pi\) |
−0.660644 | + | 0.750699i | \(0.729717\pi\) | |||||||
\(32\) | −2.16641 | − | 2.05213i | −0.382971 | − | 0.362769i | ||||
\(33\) | 1.90449 | + | 0.419211i | 0.331530 | + | 0.0729752i | ||||
\(34\) | −2.05996 | − | 0.694082i | −0.353281 | − | 0.119034i | ||||
\(35\) | −14.1184 | + | 10.7325i | −2.38645 | + | 1.81413i | ||||
\(36\) | 1.19844 | + | 0.911031i | 0.199740 | + | 0.151838i | ||||
\(37\) | 0.0276200 | + | 0.509420i | 0.00454069 | + | 0.0837482i | 0.999925 | − | 0.0122172i | \(-0.00388895\pi\) |
−0.995385 | + | 0.0959654i | \(0.969406\pi\) | |||||||
\(38\) | 4.11025 | − | 4.83896i | 0.666770 | − | 0.784983i | ||||
\(39\) | −2.22833 | − | 1.03093i | −0.356818 | − | 0.165082i | ||||
\(40\) | 10.5825 | + | 3.56566i | 1.67324 | + | 0.563781i | ||||
\(41\) | −2.18311 | − | 4.11777i | −0.340944 | − | 0.643088i | 0.652452 | − | 0.757830i | \(-0.273741\pi\) |
−0.993395 | + | 0.114742i | \(0.963396\pi\) | |||||||
\(42\) | −2.58241 | − | 1.19475i | −0.398475 | − | 0.184354i | ||||
\(43\) | 1.59085 | + | 5.72973i | 0.242602 | + | 0.873775i | 0.980113 | + | 0.198440i | \(0.0635874\pi\) |
−0.737511 | + | 0.675335i | \(0.763999\pi\) | |||||||
\(44\) | 1.23126 | + | 1.81597i | 0.185619 | + | 0.273768i | ||||
\(45\) | −9.82682 | − | 2.16305i | −1.46490 | − | 0.322448i | ||||
\(46\) | −7.25828 | + | 1.59767i | −1.07017 | + | 0.235563i | ||||
\(47\) | 2.19467 | − | 5.50821i | 0.320126 | − | 0.803455i | −0.677561 | − | 0.735467i | \(-0.736963\pi\) |
0.997686 | − | 0.0679876i | \(-0.0216578\pi\) | |||||||
\(48\) | 0.204674 | + | 1.24845i | 0.0295421 | + | 0.180199i | ||||
\(49\) | 16.3749 | + | 3.60438i | 2.33927 | + | 0.514912i | ||||
\(50\) | −9.87572 | + | 1.07405i | −1.39664 | + | 0.151894i | ||||
\(51\) | −0.489089 | − | 0.721353i | −0.0684862 | − | 0.101010i | ||||
\(52\) | −1.02246 | − | 2.56619i | −0.141790 | − | 0.355867i | ||||
\(53\) | −1.23972 | + | 0.745914i | −0.170289 | + | 0.102459i | −0.598147 | − | 0.801387i | \(-0.704096\pi\) |
0.427858 | + | 0.903846i | \(0.359268\pi\) | |||||||
\(54\) | −0.900327 | − | 3.24269i | −0.122519 | − | 0.441274i | ||||
\(55\) | −12.5656 | − | 7.56049i | −1.69435 | − | 1.01946i | ||||
\(56\) | −5.53928 | − | 13.9025i | −0.740217 | − | 1.85780i | ||||
\(57\) | 2.48600 | − | 0.547210i | 0.329279 | − | 0.0724797i | ||||
\(58\) | 3.83575 | − | 1.29241i | 0.503659 | − | 0.169702i | ||||
\(59\) | 3.06735 | − | 5.78564i | 0.399335 | − | 0.753226i | −0.599555 | − | 0.800334i | \(-0.704656\pi\) |
0.998890 | + | 0.0471077i | \(0.0150004\pi\) | |||||||
\(60\) | 0.537475 | + | 0.792716i | 0.0693877 | + | 0.102339i | ||||
\(61\) | 0.617861 | − | 3.76878i | 0.0791089 | − | 0.482543i | −0.917323 | − | 0.398144i | \(-0.869655\pi\) |
0.996432 | − | 0.0843995i | \(-0.0268972\pi\) | |||||||
\(62\) | 4.01110 | + | 10.0671i | 0.509410 | + | 1.27852i | ||||
\(63\) | 6.31629 | + | 11.9138i | 0.795778 | + | 1.50100i | ||||
\(64\) | −4.95582 | + | 7.30928i | −0.619477 | + | 0.913660i | ||||
\(65\) | 13.4046 | + | 12.6975i | 1.66263 | + | 1.57493i | ||||
\(66\) | 0.127381 | − | 2.34941i | 0.0156796 | − | 0.289192i | ||||
\(67\) | −3.70117 | + | 4.35736i | −0.452170 | + | 0.532336i | −0.940260 | − | 0.340457i | \(-0.889418\pi\) |
0.488090 | + | 0.872794i | \(0.337694\pi\) | |||||||
\(68\) | 0.158635 | − | 0.967629i | 0.0192373 | − | 0.117342i | ||||
\(69\) | −2.70434 | − | 1.25116i | −0.325564 | − | 0.150622i | ||||
\(70\) | 15.5345 | + | 14.7151i | 1.85673 | + | 1.75879i | ||||
\(71\) | 2.81969 | + | 5.31850i | 0.334635 | + | 0.631189i | 0.992541 | − | 0.121911i | \(-0.0389023\pi\) |
−0.657906 | + | 0.753100i | \(0.728557\pi\) | |||||||
\(72\) | 3.97722 | − | 7.50183i | 0.468719 | − | 0.884099i | ||||
\(73\) | −12.6671 | − | 1.37763i | −1.48257 | − | 0.161239i | −0.669241 | − | 0.743046i | \(-0.733380\pi\) |
−0.813327 | + | 0.581807i | \(0.802346\pi\) | |||||||
\(74\) | 0.601149 | − | 0.132323i | 0.0698822 | − | 0.0153822i | ||||
\(75\) | −3.41273 | − | 2.05337i | −0.394068 | − | 0.237103i | ||||
\(76\) | 2.45398 | + | 1.47651i | 0.281491 | + | 0.169368i | ||||
\(77\) | 3.17948 | + | 19.3940i | 0.362335 | + | 2.21015i | ||||
\(78\) | −0.792518 | + | 2.85439i | −0.0897350 | + | 0.323196i | ||||
\(79\) | 0.669430 | + | 0.402783i | 0.0753168 | + | 0.0453166i | 0.552714 | − | 0.833371i | \(-0.313592\pi\) |
−0.477397 | + | 0.878688i | \(0.658420\pi\) | |||||||
\(80\) | 1.53916 | − | 9.38847i | 0.172084 | − | 1.04966i | ||||
\(81\) | −2.57198 | + | 6.45518i | −0.285776 | + | 0.717243i | ||||
\(82\) | −4.47669 | + | 3.40309i | −0.494367 | + | 0.375808i | ||||
\(83\) | −10.1832 | + | 9.64608i | −1.11776 | + | 1.05879i | −0.119937 | + | 0.992781i | \(0.538269\pi\) |
−0.997819 | + | 0.0660135i | \(0.978972\pi\) | |||||||
\(84\) | 0.343377 | − | 1.23673i | 0.0374655 | − | 0.134938i | ||||
\(85\) | 1.75337 | + | 6.31505i | 0.190179 | + | 0.684964i | ||||
\(86\) | 6.51156 | − | 3.01257i | 0.702160 | − | 0.324854i | ||||
\(87\) | 1.53787 | + | 0.518170i | 0.164877 | + | 0.0555537i | ||||
\(88\) | 8.98415 | − | 8.51024i | 0.957714 | − | 0.907195i | ||||
\(89\) | −0.427728 | − | 0.197888i | −0.0453391 | − | 0.0209761i | 0.397089 | − | 0.917780i | \(-0.370021\pi\) |
−0.442428 | + | 0.896804i | \(0.645883\pi\) | |||||||
\(90\) | −0.657263 | + | 12.1225i | −0.0692816 | + | 1.27782i | ||||
\(91\) | 1.33961 | − | 24.7077i | 0.140429 | − | 2.59007i | ||||
\(92\) | −1.24088 | − | 3.11438i | −0.129371 | − | 0.324696i | ||||
\(93\) | −1.16236 | + | 4.18644i | −0.120531 | + | 0.434113i | ||||
\(94\) | −6.98673 | − | 1.53790i | −0.720626 | − | 0.158622i | ||||
\(95\) | −19.0302 | − | 2.06966i | −1.95246 | − | 0.212343i | ||||
\(96\) | −1.36795 | + | 0.460915i | −0.139616 | + | 0.0470420i | ||||
\(97\) | −12.8652 | − | 12.1866i | −1.30627 | − | 1.23736i | −0.953407 | − | 0.301686i | \(-0.902450\pi\) |
−0.352860 | − | 0.935676i | \(-0.614791\pi\) | |||||||
\(98\) | 1.09523 | − | 20.2003i | 0.110635 | − | 2.04054i | ||||
\(99\) | −7.21863 | + | 8.49842i | −0.725499 | + | 0.854124i | ||||
\(100\) | −1.19881 | − | 4.31773i | −0.119881 | − | 0.431773i | ||||
\(101\) | 7.09867 | + | 8.35720i | 0.706344 | + | 0.831572i | 0.991931 | − | 0.126781i | \(-0.0404645\pi\) |
−0.285587 | + | 0.958353i | \(0.592189\pi\) | |||||||
\(102\) | −0.763409 | + | 0.723139i | −0.0755887 | + | 0.0716015i | ||||
\(103\) | −0.288127 | − | 1.75749i | −0.0283900 | − | 0.173171i | 0.968826 | − | 0.247744i | \(-0.0796891\pi\) |
−0.997216 | + | 0.0745725i | \(0.976241\pi\) | |||||||
\(104\) | −13.3504 | + | 8.03268i | −1.30912 | + | 0.787669i | ||||
\(105\) | 1.38792 | + | 8.46596i | 0.135447 | + | 0.826193i | ||||
\(106\) | 1.13011 | + | 1.33047i | 0.109766 | + | 0.129227i | ||||
\(107\) | −1.27978 | − | 1.50667i | −0.123721 | − | 0.145656i | 0.696814 | − | 0.717252i | \(-0.254600\pi\) |
−0.820535 | + | 0.571596i | \(0.806324\pi\) | |||||||
\(108\) | 1.37775 | − | 0.637417i | 0.132574 | − | 0.0613355i | ||||
\(109\) | −9.45680 | − | 7.18887i | −0.905797 | − | 0.688569i | 0.0447999 | − | 0.998996i | \(-0.485735\pi\) |
−0.950597 | + | 0.310427i | \(0.899528\pi\) | |||||||
\(110\) | −6.54911 | + | 16.4370i | −0.624433 | + | 1.56721i | ||||
\(111\) | 0.223980 | + | 0.103624i | 0.0212593 | + | 0.00983559i | ||||
\(112\) | −10.9248 | + | 6.57322i | −1.03229 | + | 0.621111i | ||||
\(113\) | −0.848919 | + | 5.17817i | −0.0798595 | + | 0.487122i | 0.916368 | + | 0.400338i | \(0.131107\pi\) |
−0.996227 | + | 0.0867838i | \(0.972341\pi\) | |||||||
\(114\) | −1.13679 | − | 2.85314i | −0.106471 | − | 0.267221i | ||||
\(115\) | 16.2680 | + | 15.4099i | 1.51700 | + | 1.43698i | ||||
\(116\) | 0.855232 | + | 1.61314i | 0.0794063 | + | 0.149776i | ||||
\(117\) | 11.1763 | − | 8.49600i | 1.03325 | − | 0.785456i | ||||
\(118\) | −7.48740 | − | 2.52280i | −0.689271 | − | 0.232243i | ||||
\(119\) | 4.92902 | − | 7.26976i | 0.451842 | − | 0.666418i | ||||
\(120\) | 3.92181 | − | 3.71494i | 0.358011 | − | 0.339126i | ||||
\(121\) | −4.49935 | + | 2.70717i | −0.409032 | + | 0.246106i | ||||
\(122\) | −4.60790 | −0.417180 | ||||||||
\(123\) | −2.25457 | −0.203288 | ||||||||
\(124\) | −4.18858 | + | 2.52018i | −0.376145 | + | 0.226319i | ||||
\(125\) | 7.61481 | + | 8.96485i | 0.681090 | + | 0.801841i | ||||
\(126\) | 12.9522 | − | 9.84602i | 1.15387 | − | 0.877153i | ||||
\(127\) | 3.08297 | − | 11.1039i | 0.273569 | − | 0.985307i | −0.691298 | − | 0.722570i | \(-0.742961\pi\) |
0.964867 | − | 0.262738i | \(-0.0846254\pi\) | |||||||
\(128\) | 4.25364 | + | 1.96794i | 0.375972 | + | 0.173943i | ||||
\(129\) | 2.80931 | + | 0.618375i | 0.247346 | + | 0.0544449i | ||||
\(130\) | 12.5017 | − | 18.4386i | 1.09647 | − | 1.61718i | ||||
\(131\) | 3.62477 | − | 6.83704i | 0.316698 | − | 0.597355i | −0.673147 | − | 0.739509i | \(-0.735058\pi\) |
0.989845 | + | 0.142154i | \(0.0454027\pi\) | |||||||
\(132\) | 1.05512 | − | 0.114751i | 0.0918363 | − | 0.00998780i | ||||
\(133\) | 14.3964 | + | 21.2332i | 1.24833 | + | 1.84115i | ||||
\(134\) | 5.91054 | + | 3.55626i | 0.510593 | + | 0.307214i | ||||
\(135\) | −6.56882 | + | 7.73341i | −0.565354 | + | 0.665586i | ||||
\(136\) | −5.53057 | −0.474243 | ||||||||
\(137\) | −0.197239 | + | 0.232207i | −0.0168512 | + | 0.0198388i | −0.770523 | − | 0.637412i | \(-0.780005\pi\) |
0.753672 | + | 0.657251i | \(0.228281\pi\) | |||||||
\(138\) | −0.961814 | + | 3.46414i | −0.0818750 | + | 0.294887i | ||||
\(139\) | −8.62948 | + | 2.90761i | −0.731943 | + | 0.246620i | −0.660502 | − | 0.750824i | \(-0.729656\pi\) |
−0.0714413 | + | 0.997445i | \(0.522760\pi\) | |||||||
\(140\) | −5.41665 | + | 7.98896i | −0.457790 | + | 0.675190i | ||||
\(141\) | −1.85687 | − | 2.18608i | −0.156377 | − | 0.184101i | ||||
\(142\) | 5.78207 | − | 4.39541i | 0.485220 | − | 0.368855i | ||||
\(143\) | 19.3898 | − | 6.53317i | 1.62145 | − | 0.546331i | ||||
\(144\) | −6.85518 | − | 2.30978i | −0.571265 | − | 0.192482i | ||||
\(145\) | −9.71533 | − | 7.38540i | −0.806814 | − | 0.613324i | ||||
\(146\) | 0.832303 | + | 15.3509i | 0.0688819 | + | 1.27045i | ||||
\(147\) | 5.25084 | − | 6.18177i | 0.433082 | − | 0.509864i | ||||
\(148\) | 0.102773 | + | 0.257941i | 0.00844788 | + | 0.0212026i | ||||
\(149\) | −1.09345 | + | 0.505882i | −0.0895785 | + | 0.0414434i | −0.464167 | − | 0.885748i | \(-0.653646\pi\) |
0.374588 | + | 0.927191i | \(0.377784\pi\) | |||||||
\(150\) | −1.77869 | + | 4.46417i | −0.145229 | + | 0.364498i | ||||
\(151\) | −8.23625 | − | 4.95559i | −0.670256 | − | 0.403280i | 0.139358 | − | 0.990242i | \(-0.455496\pi\) |
−0.809614 | + | 0.586962i | \(0.800324\pi\) | |||||||
\(152\) | 5.97900 | − | 15.0062i | 0.484961 | − | 1.21716i | ||||
\(153\) | 4.95410 | − | 0.538791i | 0.400515 | − | 0.0435587i | ||||
\(154\) | 22.4708 | − | 7.57129i | 1.81075 | − | 0.610112i | ||||
\(155\) | 18.3358 | − | 27.0433i | 1.47277 | − | 2.17217i | ||||
\(156\) | −1.32845 | − | 0.144477i | −0.106361 | − | 0.0115675i | ||||
\(157\) | −2.70117 | − | 5.09495i | −0.215577 | − | 0.406621i | 0.752013 | − | 0.659148i | \(-0.229083\pi\) |
−0.967590 | + | 0.252527i | \(0.918738\pi\) | |||||||
\(158\) | 0.348902 | − | 0.875678i | 0.0277572 | − | 0.0696652i | ||||
\(159\) | 0.0378912 | + | 0.698861i | 0.00300496 | + | 0.0554233i | ||||
\(160\) | 10.8553 | 0.858188 | ||||||||
\(161\) | 1.62577 | − | 29.9856i | 0.128129 | − | 2.36320i | ||||
\(162\) | 8.18790 | + | 1.80229i | 0.643302 | + | 0.141602i | ||||
\(163\) | 1.75334 | + | 0.190687i | 0.137332 | + | 0.0149358i | 0.176527 | − | 0.984296i | \(-0.443514\pi\) |
−0.0391948 | + | 0.999232i | \(0.512479\pi\) | |||||||
\(164\) | −1.84156 | − | 1.74442i | −0.143801 | − | 0.136216i | ||||
\(165\) | −6.07852 | + | 3.65732i | −0.473212 | + | 0.284722i | ||||
\(166\) | 13.4728 | + | 10.2418i | 1.04569 | + | 0.794916i | ||||
\(167\) | −10.8580 | + | 1.18088i | −0.840217 | + | 0.0913792i | −0.518099 | − | 0.855320i | \(-0.673360\pi\) |
−0.322118 | + | 0.946700i | \(0.604395\pi\) | |||||||
\(168\) | −7.19697 | − | 0.782717i | −0.555258 | − | 0.0603880i | ||||
\(169\) | −12.6864 | + | 1.37973i | −0.975877 | + | 0.106133i | ||||
\(170\) | 7.17676 | − | 3.32032i | 0.550432 | − | 0.254657i | ||||
\(171\) | −3.89388 | + | 14.0245i | −0.297773 | + | 1.07248i | ||||
\(172\) | 1.81622 | + | 2.67872i | 0.138486 | + | 0.204251i | ||||
\(173\) | −15.6974 | − | 11.9329i | −1.19345 | − | 0.907238i | −0.196144 | − | 0.980575i | \(-0.562842\pi\) |
−0.997307 | + | 0.0733368i | \(0.976635\pi\) | |||||||
\(174\) | 0.316770 | − | 1.93221i | 0.0240143 | − | 0.146481i | ||||
\(175\) | 6.49375 | − | 39.6101i | 0.490881 | − | 2.99424i | ||||
\(176\) | −8.39309 | − | 6.38026i | −0.632653 | − | 0.480931i | ||||
\(177\) | −1.77771 | − | 2.62192i | −0.133621 | − | 0.197076i | ||||
\(178\) | −0.152124 | + | 0.547901i | −0.0114022 | + | 0.0410670i | ||||
\(179\) | 9.88982 | − | 4.57552i | 0.739200 | − | 0.341990i | −0.0138940 | − | 0.999903i | \(-0.504423\pi\) |
0.753094 | + | 0.657913i | \(0.228561\pi\) | |||||||
\(180\) | −5.44421 | + | 0.592094i | −0.405788 | + | 0.0441321i | ||||
\(181\) | 9.17418 | + | 0.997752i | 0.681911 | + | 0.0741623i | 0.442517 | − | 0.896760i | \(-0.354086\pi\) |
0.239394 | + | 0.970922i | \(0.423051\pi\) | |||||||
\(182\) | −29.6796 | + | 3.22786i | −2.20000 | + | 0.239265i | ||||
\(183\) | −1.47075 | − | 1.11803i | −0.108721 | − | 0.0826473i | ||||
\(184\) | −16.2023 | + | 9.74860i | −1.19445 | + | 0.718676i | ||||
\(185\) | −1.34736 | − | 1.27629i | −0.0990598 | − | 0.0938344i | ||||
\(186\) | 5.21146 | + | 0.566781i | 0.382123 | + | 0.0415584i | ||||
\(187\) | 7.09304 | + | 1.56130i | 0.518695 | + | 0.114173i | ||||
\(188\) | 0.174709 | − | 3.22232i | 0.0127420 | − | 0.235012i | ||||
\(189\) | 13.5980 | 0.989106 | ||||||||
\(190\) | 1.25040 | + | 23.0623i | 0.0907137 | + | 1.67312i | ||||
\(191\) | 6.62164 | − | 16.6191i | 0.479125 | − | 1.20251i | −0.468596 | − | 0.883412i | \(-0.655240\pi\) |
0.947721 | − | 0.319100i | \(-0.103381\pi\) | |||||||
\(192\) | 2.00099 | + | 3.77428i | 0.144409 | + | 0.272385i | ||||
\(193\) | −3.21681 | − | 0.349849i | −0.231551 | − | 0.0251827i | −0.00839217 | − | 0.999965i | \(-0.502671\pi\) |
−0.223159 | + | 0.974782i | \(0.571637\pi\) | |||||||
\(194\) | −11.9987 | + | 17.6968i | −0.861457 | + | 1.27055i | ||||
\(195\) | 8.46412 | − | 2.85189i | 0.606128 | − | 0.204228i | ||||
\(196\) | 9.07194 | − | 0.986633i | 0.647995 | − | 0.0704738i | ||||
\(197\) | −7.48324 | + | 18.7815i | −0.533159 | + | 1.33813i | 0.377898 | + | 0.925847i | \(0.376647\pi\) |
−0.911057 | + | 0.412281i | \(0.864732\pi\) | |||||||
\(198\) | 11.5277 | + | 6.93598i | 0.819238 | + | 0.492919i | ||||
\(199\) | 5.55076 | − | 13.9314i | 0.393483 | − | 0.987568i | −0.590135 | − | 0.807305i | \(-0.700926\pi\) |
0.983618 | − | 0.180264i | \(-0.0576952\pi\) | |||||||
\(200\) | −22.9385 | + | 10.6125i | −1.62200 | + | 0.750416i | ||||
\(201\) | 1.02365 | + | 2.56918i | 0.0722030 | + | 0.181216i | ||||
\(202\) | 8.56485 | − | 10.0833i | 0.602620 | − | 0.709460i | ||||
\(203\) | 0.885428 | + | 16.3308i | 0.0621449 | + | 1.14620i | ||||
\(204\) | −0.377612 | − | 0.287053i | −0.0264381 | − | 0.0200977i | ||||
\(205\) | 16.0670 | + | 5.41361i | 1.12217 | + | 0.378103i | ||||
\(206\) | −2.03632 | + | 0.686115i | −0.141877 | + | 0.0478039i | ||||
\(207\) | 13.5638 | − | 10.3109i | 0.942746 | − | 0.716657i | ||||
\(208\) | 8.59340 | + | 10.1169i | 0.595845 | + | 0.701483i | ||||
\(209\) | −11.9044 | + | 17.5577i | −0.823448 | + | 1.21449i | ||||
\(210\) | 9.80907 | − | 3.30506i | 0.676890 | − | 0.228071i | ||||
\(211\) | −2.36522 | + | 8.51874i | −0.162828 | + | 0.586454i | 0.836435 | + | 0.548066i | \(0.184636\pi\) |
−0.999263 | + | 0.0383875i | \(0.987778\pi\) | |||||||
\(212\) | −0.509776 | + | 0.600155i | −0.0350116 | + | 0.0412188i | ||||
\(213\) | 2.91199 | 0.199526 | ||||||||
\(214\) | −1.54411 | + | 1.81787i | −0.105553 | + | 0.124267i | ||||
\(215\) | −18.5355 | − | 11.1524i | −1.26411 | − | 0.760589i | ||||
\(216\) | −4.80506 | − | 7.08693i | −0.326943 | − | 0.482205i | ||||
\(217\) | −43.5301 | + | 4.73418i | −2.95501 | + | 0.321377i | ||||
\(218\) | −6.71349 | + | 12.6630i | −0.454695 | + | 0.857645i | ||||
\(219\) | −3.45900 | + | 5.10164i | −0.233738 | + | 0.344737i | ||||
\(220\) | −7.79476 | − | 1.71576i | −0.525523 | − | 0.115676i | ||||
\(221\) | −8.29913 | − | 3.83959i | −0.558260 | − | 0.258279i | ||||
\(222\) | 0.0796599 | − | 0.286909i | 0.00534642 | − | 0.0192561i | ||||
\(223\) | 3.63176 | − | 2.76079i | 0.243200 | − | 0.184876i | −0.476473 | − | 0.879189i | \(-0.658085\pi\) |
0.719673 | + | 0.694313i | \(0.244292\pi\) | |||||||
\(224\) | −9.41795 | − | 11.0877i | −0.629263 | − | 0.740826i | ||||
\(225\) | 19.5137 | − | 11.7410i | 1.30091 | − | 0.782733i | ||||
\(226\) | 6.33109 | 0.421138 | ||||||||
\(227\) | 11.0879 | 0.735927 | 0.367963 | − | 0.929840i | \(-0.380055\pi\) | ||||
0.367963 | + | 0.929840i | \(0.380055\pi\) | |||||||
\(228\) | 1.18709 | − | 0.714250i | 0.0786172 | − | 0.0473024i | ||||
\(229\) | 7.31281 | − | 6.92706i | 0.483244 | − | 0.457753i | −0.406873 | − | 0.913485i | \(-0.633381\pi\) |
0.890117 | + | 0.455732i | \(0.150622\pi\) | |||||||
\(230\) | 15.1723 | − | 22.3775i | 1.00043 | − | 1.47553i | ||||
\(231\) | 9.00926 | + | 3.03557i | 0.592766 | + | 0.199726i | ||||
\(232\) | 8.19832 | − | 6.23220i | 0.538246 | − | 0.409164i | ||||
\(233\) | −1.61322 | − | 3.04285i | −0.105685 | − | 0.199344i | 0.825029 | − | 0.565090i | \(-0.191159\pi\) |
−0.930715 | + | 0.365746i | \(0.880814\pi\) | |||||||
\(234\) | −12.2973 | − | 11.6487i | −0.803902 | − | 0.761497i | ||||
\(235\) | 7.98372 | + | 20.0376i | 0.520800 | + | 1.30711i | ||||
\(236\) | 0.576594 | − | 3.51707i | 0.0375331 | − | 0.228942i | ||||
\(237\) | 0.323831 | − | 0.194843i | 0.0210351 | − | 0.0126564i | ||||
\(238\) | −9.61786 | − | 4.44970i | −0.623433 | − | 0.288431i | ||||
\(239\) | 5.58725 | − | 14.0229i | 0.361409 | − | 0.907069i | −0.630039 | − | 0.776564i | \(-0.716961\pi\) |
0.991448 | − | 0.130505i | \(-0.0416598\pi\) | |||||||
\(240\) | −3.66380 | − | 2.78515i | −0.236497 | − | 0.179780i | ||||
\(241\) | −6.87694 | + | 3.18161i | −0.442983 | + | 0.204946i | −0.628684 | − | 0.777660i | \(-0.716406\pi\) |
0.185702 | + | 0.982606i | \(0.440544\pi\) | |||||||
\(242\) | 4.10155 | + | 4.82871i | 0.263657 | + | 0.310401i | ||||
\(243\) | 7.59328 | + | 8.93950i | 0.487109 | + | 0.573469i | ||||
\(244\) | −0.336273 | − | 2.05117i | −0.0215277 | − | 0.131313i | ||||
\(245\) | −52.2632 | + | 31.4457i | −3.33898 | + | 2.00900i | ||||
\(246\) | 0.440085 | + | 2.68440i | 0.0280588 | + | 0.171151i | ||||
\(247\) | 19.3900 | − | 18.3672i | 1.23376 | − | 1.16868i | ||||
\(248\) | 17.8494 | + | 21.0139i | 1.13344 | + | 1.33439i | ||||
\(249\) | 1.81525 | + | 6.53793i | 0.115037 | + | 0.414324i | ||||
\(250\) | 9.18760 | − | 10.8165i | 0.581075 | − | 0.684094i | ||||
\(251\) | 1.30595 | − | 24.0869i | 0.0824311 | − | 1.52035i | −0.606242 | − | 0.795280i | \(-0.707324\pi\) |
0.688673 | − | 0.725072i | \(-0.258193\pi\) | |||||||
\(252\) | 5.32810 | + | 5.04705i | 0.335639 | + | 0.317934i | ||||
\(253\) | 23.5317 | − | 7.92877i | 1.47943 | − | 0.498477i | ||||
\(254\) | −13.8226 | − | 1.50330i | −0.867305 | − | 0.0943251i | ||||
\(255\) | 3.09629 | + | 0.681546i | 0.193897 | + | 0.0426800i | ||||
\(256\) | −3.21223 | + | 11.5694i | −0.200764 | + | 0.723088i | ||||
\(257\) | 1.61651 | + | 4.05714i | 0.100835 | + | 0.253077i | 0.970736 | − | 0.240150i | \(-0.0771965\pi\) |
−0.869901 | + | 0.493227i | \(0.835817\pi\) | |||||||
\(258\) | 0.187899 | − | 3.46560i | 0.0116981 | − | 0.215759i | ||||
\(259\) | −0.134651 | + | 2.48349i | −0.00836680 | + | 0.154316i | ||||
\(260\) | 9.12017 | + | 4.21944i | 0.565609 | + | 0.261679i | ||||
\(261\) | −6.73664 | + | 6.38128i | −0.416987 | + | 0.394991i | ||||
\(262\) | −8.84806 | − | 2.98126i | −0.546635 | − | 0.184183i | ||||
\(263\) | 15.0635 | − | 6.96914i | 0.928858 | − | 0.429735i | 0.103682 | − | 0.994611i | \(-0.466938\pi\) |
0.825176 | + | 0.564875i | \(0.191076\pi\) | |||||||
\(264\) | −1.60150 | − | 5.76808i | −0.0985654 | − | 0.355001i | ||||
\(265\) | 1.40806 | − | 5.07137i | 0.0864963 | − | 0.311531i | ||||
\(266\) | 22.4711 | − | 21.2858i | 1.37779 | − | 1.30511i | ||||
\(267\) | −0.181494 | + | 0.137968i | −0.0111073 | + | 0.00844352i | ||||
\(268\) | −1.15170 | + | 2.89056i | −0.0703516 | + | 0.176569i | ||||
\(269\) | −0.448763 | + | 2.73733i | −0.0273616 | + | 0.166898i | −0.996973 | − | 0.0777534i | \(-0.975225\pi\) |
0.969611 | + | 0.244652i | \(0.0786736\pi\) | |||||||
\(270\) | 10.4900 | + | 6.31161i | 0.638400 | + | 0.384113i | ||||
\(271\) | −2.16307 | + | 7.79068i | −0.131397 | + | 0.473250i | −0.999742 | − | 0.0227109i | \(-0.992770\pi\) |
0.868345 | + | 0.495961i | \(0.165184\pi\) | |||||||
\(272\) | 0.762282 | + | 4.64971i | 0.0462201 | + | 0.281930i | ||||
\(273\) | −10.2563 | − | 6.17102i | −0.620740 | − | 0.373487i | ||||
\(274\) | 0.314978 | + | 0.189516i | 0.0190285 | + | 0.0114491i | ||||
\(275\) | 32.4149 | − | 7.13507i | 1.95469 | − | 0.430261i | ||||
\(276\) | −1.61223 | − | 0.175340i | −0.0970447 | − | 0.0105542i | ||||
\(277\) | −6.46165 | + | 12.1880i | −0.388243 | + | 0.732304i | −0.998190 | − | 0.0601381i | \(-0.980846\pi\) |
0.609947 | + | 0.792442i | \(0.291191\pi\) | |||||||
\(278\) | 5.14639 | + | 9.70712i | 0.308660 | + | 0.582195i | ||||
\(279\) | −18.0361 | − | 17.0847i | −1.07979 | − | 1.02283i | ||||
\(280\) | 49.4092 | + | 22.8591i | 2.95276 | + | 1.36609i | ||||
\(281\) | −3.57483 | + | 21.8055i | −0.213257 | + | 1.30081i | 0.635532 | + | 0.772075i | \(0.280781\pi\) |
−0.848788 | + | 0.528733i | \(0.822667\pi\) | |||||||
\(282\) | −2.24040 | + | 2.63760i | −0.133414 | + | 0.157067i | ||||
\(283\) | −1.34931 | + | 24.8865i | −0.0802081 | + | 1.47935i | 0.630678 | + | 0.776044i | \(0.282777\pi\) |
−0.710886 | + | 0.703307i | \(0.751706\pi\) | |||||||
\(284\) | 2.37855 | + | 2.25308i | 0.141141 | + | 0.133696i | ||||
\(285\) | −5.19659 | + | 7.66440i | −0.307820 | + | 0.454000i | ||||
\(286\) | −11.5635 | − | 21.8111i | −0.683766 | − | 1.28972i | ||||
\(287\) | −8.41007 | − | 21.1077i | −0.496431 | − | 1.24595i | ||||
\(288\) | 1.33533 | − | 8.14514i | 0.0786850 | − | 0.479957i | ||||
\(289\) | 7.71863 | + | 11.3841i | 0.454037 | + | 0.669654i | ||||
\(290\) | −6.89702 | + | 13.0092i | −0.405007 | + | 0.763924i | ||||
\(291\) | −8.12357 | + | 2.73715i | −0.476212 | + | 0.160455i | ||||
\(292\) | −6.77262 | + | 1.49077i | −0.396337 | + | 0.0872404i | ||||
\(293\) | −2.07804 | − | 5.21548i | −0.121400 | − | 0.304692i | 0.855700 | − | 0.517473i | \(-0.173127\pi\) |
−0.977100 | + | 0.212781i | \(0.931748\pi\) | |||||||
\(294\) | −8.38527 | − | 5.04525i | −0.489039 | − | 0.294245i | ||||
\(295\) | 6.37301 | + | 22.9535i | 0.371051 | + | 1.33640i | ||||
\(296\) | 1.34192 | − | 0.807404i | 0.0779973 | − | 0.0469294i | ||||
\(297\) | 4.16190 | + | 10.4456i | 0.241498 | + | 0.606114i | ||||
\(298\) | 0.815764 | + | 1.20316i | 0.0472560 | + | 0.0696973i | ||||
\(299\) | −31.0810 | + | 3.38026i | −1.79746 | + | 0.195485i | ||||
\(300\) | −2.11700 | − | 0.465986i | −0.122225 | − | 0.0269037i | ||||
\(301\) | 4.69003 | + | 28.6079i | 0.270329 | + | 1.64893i | ||||
\(302\) | −4.29267 | + | 10.7738i | −0.247016 | + | 0.619962i | ||||
\(303\) | 5.18027 | − | 1.14026i | 0.297599 | − | 0.0655065i | ||||
\(304\) | −13.4402 | − | 2.95841i | −0.770849 | − | 0.169677i | ||||
\(305\) | 7.79657 | + | 11.4991i | 0.446430 | + | 0.658436i | ||||
\(306\) | −1.60854 | − | 5.79342i | −0.0919539 | − | 0.331188i | ||||
\(307\) | −22.4033 | − | 10.3649i | −1.27862 | − | 0.591554i | −0.341280 | − | 0.939962i | \(-0.610860\pi\) |
−0.937343 | + | 0.348408i | \(0.886722\pi\) | |||||||
\(308\) | 5.01016 | + | 9.45017i | 0.285481 | + | 0.538473i | ||||
\(309\) | −0.816425 | − | 0.275086i | −0.0464448 | − | 0.0156491i | ||||
\(310\) | −35.7782 | − | 16.5527i | −2.03206 | − | 0.940133i | ||||
\(311\) | −6.93140 | + | 8.16027i | −0.393044 | + | 0.462727i | −0.922719 | − | 0.385474i | \(-0.874038\pi\) |
0.529675 | + | 0.848201i | \(0.322314\pi\) | |||||||
\(312\) | 0.408046 | + | 7.52597i | 0.0231011 | + | 0.426074i | ||||
\(313\) | 18.1229 | + | 13.7767i | 1.02437 | + | 0.778705i | 0.975477 | − | 0.220100i | \(-0.0706382\pi\) |
0.0488909 | + | 0.998804i | \(0.484431\pi\) | |||||||
\(314\) | −5.53903 | + | 4.21066i | −0.312586 | + | 0.237621i | ||||
\(315\) | −46.4860 | − | 15.6630i | −2.61919 | − | 0.882508i | ||||
\(316\) | 0.415264 | + | 0.0914065i | 0.0233604 | + | 0.00514202i | ||||
\(317\) | 16.7794 | + | 15.8943i | 0.942424 | + | 0.892712i | 0.994373 | − | 0.105938i | \(-0.0337845\pi\) |
−0.0519484 | + | 0.998650i | \(0.516543\pi\) | |||||||
\(318\) | 0.824702 | − | 0.181531i | 0.0462470 | − | 0.0101797i | ||||
\(319\) | −12.2738 | + | 5.67848i | −0.687203 | + | 0.317934i | ||||
\(320\) | −5.19725 | − | 31.7018i | −0.290535 | − | 1.77219i | ||||
\(321\) | −0.933924 | + | 0.205572i | −0.0521266 | + | 0.0114739i | ||||
\(322\) | −36.0197 | + | 3.91738i | −2.00730 | + | 0.218307i | ||||
\(323\) | 9.25879 | − | 2.03801i | 0.515173 | − | 0.113398i | ||||
\(324\) | −0.204746 | + | 3.77631i | −0.0113748 | + | 0.209795i | ||||
\(325\) | −41.7891 | −2.31804 | ||||||||
\(326\) | −0.115205 | − | 2.12483i | −0.00638062 | − | 0.117684i | ||||
\(327\) | −5.21527 | + | 2.41284i | −0.288405 | + | 0.133430i | ||||
\(328\) | −8.02899 | + | 11.8419i | −0.443327 | + | 0.653858i | ||||
\(329\) | 13.5399 | − | 25.5390i | 0.746480 | − | 1.40801i | ||||
\(330\) | 5.54110 | + | 6.52348i | 0.305027 | + | 0.359106i | ||||
\(331\) | 12.2695 | − | 11.6223i | 0.674395 | − | 0.638821i | −0.271824 | − | 0.962347i | \(-0.587627\pi\) |
0.946219 | + | 0.323526i | \(0.104868\pi\) | |||||||
\(332\) | −3.57584 | + | 6.74475i | −0.196250 | + | 0.370166i | ||||
\(333\) | −1.12339 | + | 0.853975i | −0.0615611 | + | 0.0467976i | ||||
\(334\) | 3.52546 | + | 12.6976i | 0.192905 | + | 0.694780i | ||||
\(335\) | −1.12596 | − | 20.7670i | −0.0615175 | − | 1.13462i | ||||
\(336\) | 0.333908 | + | 6.15858i | 0.0182162 | + | 0.335978i | ||||
\(337\) | 1.03108 | − | 6.28933i | 0.0561667 | − | 0.342602i | −0.943762 | − | 0.330627i | \(-0.892740\pi\) |
0.999928 | − | 0.0119751i | \(-0.00381187\pi\) | |||||||
\(338\) | 4.11912 | + | 14.8357i | 0.224051 | + | 0.806957i | ||||
\(339\) | 2.02075 | + | 1.53614i | 0.109752 | + | 0.0834315i | ||||
\(340\) | 2.00176 | + | 2.95237i | 0.108561 | + | 0.160115i | ||||
\(341\) | −16.9598 | − | 31.9896i | −0.918426 | − | 1.73233i | ||||
\(342\) | 17.4583 | + | 1.89871i | 0.944038 | + | 0.102670i | ||||
\(343\) | 45.1223 | + | 15.2035i | 2.43637 | + | 0.820910i | ||||
\(344\) | 13.2525 | − | 12.5534i | 0.714525 | − | 0.676834i | ||||
\(345\) | 10.2722 | − | 3.46111i | 0.553037 | − | 0.186340i | ||||
\(346\) | −11.1438 | + | 21.0194i | −0.599092 | + | 1.13001i | ||||
\(347\) | 2.54222 | + | 15.5069i | 0.136474 | + | 0.832453i | 0.962989 | + | 0.269539i | \(0.0868714\pi\) |
−0.826516 | + | 0.562914i | \(0.809680\pi\) | |||||||
\(348\) | 0.883228 | 0.0473460 | ||||||||
\(349\) | 18.6815 | − | 0.00282659i | 1.00000 | − | 0.000151304i | ||||
\(350\) | −48.4293 | −2.58866 | ||||||||
\(351\) | −2.29035 | − | 13.9705i | −0.122250 | − | 0.745690i | ||||
\(352\) | 5.63471 | − | 10.6282i | 0.300331 | − | 0.566484i | ||||
\(353\) | −6.10256 | + | 2.05619i | −0.324807 | + | 0.109440i | −0.476981 | − | 0.878914i | \(-0.658269\pi\) |
0.152174 | + | 0.988354i | \(0.451372\pi\) | |||||||
\(354\) | −2.77478 | + | 2.62842i | −0.147478 | + | 0.139699i | ||||
\(355\) | −20.7521 | − | 6.99219i | −1.10141 | − | 0.371107i | ||||
\(356\) | −0.254996 | − | 0.0277325i | −0.0135148 | − | 0.00146982i | ||||
\(357\) | −1.99017 | − | 3.75387i | −0.105331 | − | 0.198676i | ||||
\(358\) | −7.37830 | − | 10.8822i | −0.389955 | − | 0.575141i | ||||
\(359\) | 14.7943 | + | 11.2463i | 0.780812 | + | 0.593558i | 0.917813 | − | 0.397013i | \(-0.129953\pi\) |
−0.137001 | + | 0.990571i | \(0.543746\pi\) | |||||||
\(360\) | 8.26342 | + | 29.7622i | 0.435521 | + | 1.56860i | ||||
\(361\) | −1.40589 | + | 8.57554i | −0.0739942 | + | 0.451344i | ||||
\(362\) | −0.602799 | − | 11.1180i | −0.0316824 | − | 0.584348i | ||||
\(363\) | 0.137519 | + | 2.53640i | 0.00721790 | + | 0.133126i | ||||
\(364\) | −3.60280 | − | 12.9761i | −0.188838 | − | 0.680133i | ||||
\(365\) | 36.9002 | − | 28.0508i | 1.93145 | − | 1.46825i | ||||
\(366\) | −1.04410 | + | 1.96938i | −0.0545759 | + | 0.102941i | ||||
\(367\) | −19.4237 | + | 18.3991i | −1.01391 | + | 0.960426i | −0.999221 | − | 0.0394666i | \(-0.987434\pi\) |
−0.0146880 | + | 0.999892i | \(0.504676\pi\) | |||||||
\(368\) | 10.4291 | + | 12.2781i | 0.543654 | + | 0.640039i | ||||
\(369\) | 6.03846 | − | 11.3897i | 0.314349 | − | 0.592926i | ||||
\(370\) | −1.25661 | + | 1.85336i | −0.0653280 | + | 0.0963515i | ||||
\(371\) | −6.40153 | + | 2.96166i | −0.332351 | + | 0.153762i | ||||
\(372\) | 0.128021 | + | 2.36121i | 0.00663758 | + | 0.122423i | ||||
\(373\) | 29.5860 | 1.53191 | 0.765953 | − | 0.642897i | \(-0.222268\pi\) | ||||
0.765953 | + | 0.642897i | \(0.222268\pi\) | |||||||
\(374\) | 0.474416 | − | 8.75008i | 0.0245315 | − | 0.452456i | ||||
\(375\) | 5.55693 | − | 1.22317i | 0.286959 | − | 0.0631644i | ||||
\(376\) | −18.0949 | + | 1.96793i | −0.933171 | + | 0.101488i | ||||
\(377\) | 16.6290 | − | 3.66033i | 0.856439 | − | 0.188516i | ||||
\(378\) | −2.65428 | − | 16.1904i | −0.136521 | − | 0.832744i | ||||
\(379\) | −12.9055 | + | 5.97073i | −0.662913 | + | 0.306696i | −0.722342 | − | 0.691537i | \(-0.756934\pi\) |
0.0594289 | + | 0.998233i | \(0.481072\pi\) | |||||||
\(380\) | −10.1748 | + | 2.23964i | −0.521955 | + | 0.114891i | ||||
\(381\) | −4.04713 | − | 3.83364i | −0.207341 | − | 0.196403i | ||||
\(382\) | −21.0800 | − | 4.64005i | −1.07855 | − | 0.237406i | ||||
\(383\) | 30.4388 | + | 10.2560i | 1.55535 | + | 0.524058i | 0.960141 | − | 0.279515i | \(-0.0901736\pi\) |
0.595207 | + | 0.803573i | \(0.297070\pi\) | |||||||
\(384\) | 1.80491 | − | 1.37206i | 0.0921064 | − | 0.0700175i | ||||
\(385\) | −56.9148 | − | 43.2655i | −2.90065 | − | 2.20502i | ||||
\(386\) | 0.211364 | + | 3.89838i | 0.0107581 | + | 0.198422i | ||||
\(387\) | −10.6482 | + | 12.5360i | −0.541276 | + | 0.637239i | ||||
\(388\) | −8.75323 | − | 4.04967i | −0.444378 | − | 0.205591i | ||||
\(389\) | 1.69952 | + | 0.572633i | 0.0861689 | + | 0.0290337i | 0.362056 | − | 0.932156i | \(-0.382075\pi\) |
−0.275887 | + | 0.961190i | \(0.588972\pi\) | |||||||
\(390\) | −5.04778 | − | 9.52111i | −0.255604 | − | 0.482120i | ||||
\(391\) | −10.0720 | − | 4.65979i | −0.509361 | − | 0.235656i | ||||
\(392\) | −13.7697 | − | 49.5941i | −0.695476 | − | 2.50488i | ||||
\(393\) | −2.10076 | − | 3.09839i | −0.105969 | − | 0.156293i | ||||
\(394\) | 23.8229 | + | 5.24382i | 1.20018 | + | 0.264180i | ||||
\(395\) | −2.77561 | + | 0.610958i | −0.139656 | + | 0.0307406i | ||||
\(396\) | −2.24624 | + | 5.63764i | −0.112878 | + | 0.283302i | ||||
\(397\) | 2.48584 | + | 15.1630i | 0.124761 | + | 0.761008i | 0.972899 | + | 0.231232i | \(0.0742756\pi\) |
−0.848138 | + | 0.529776i | \(0.822276\pi\) | |||||||
\(398\) | −17.6709 | − | 3.88965i | −0.885760 | − | 0.194971i | ||||
\(399\) | 12.3370 | − | 1.34172i | 0.617620 | − | 0.0671702i | ||||
\(400\) | 12.0839 | + | 17.8224i | 0.604193 | + | 0.891118i | ||||
\(401\) | −1.12811 | − | 2.83135i | −0.0563353 | − | 0.141391i | 0.898115 | − | 0.439760i | \(-0.144937\pi\) |
−0.954451 | + | 0.298369i | \(0.903557\pi\) | |||||||
\(402\) | 2.85918 | − | 1.72031i | 0.142603 | − | 0.0858012i | ||||
\(403\) | 12.1958 | + | 43.9252i | 0.607515 | + | 2.18807i | ||||
\(404\) | 5.11356 | + | 3.07672i | 0.254409 | + | 0.153073i | ||||
\(405\) | −9.35629 | − | 23.4825i | −0.464918 | − | 1.16686i | ||||
\(406\) | 19.2714 | − | 4.24195i | 0.956422 | − | 0.210524i | ||||
\(407\) | −1.94896 | + | 0.656681i | −0.0966064 | + | 0.0325505i | ||||
\(408\) | −1.25317 | + | 2.36372i | −0.0620409 | + | 0.117022i | ||||
\(409\) | 17.7336 | + | 26.1551i | 0.876870 | + | 1.29329i | 0.955079 | + | 0.296350i | \(0.0957694\pi\) |
−0.0782092 | + | 0.996937i | \(0.524920\pi\) | |||||||
\(410\) | 3.30947 | − | 20.1869i | 0.163443 | − | 0.996959i | ||||
\(411\) | 0.0545514 | + | 0.136914i | 0.00269082 | + | 0.00675346i | ||||
\(412\) | −0.454024 | − | 0.856381i | −0.0223682 | − | 0.0421909i | ||||
\(413\) | 17.9157 | − | 26.4236i | 0.881572 | − | 1.30022i | ||||
\(414\) | −14.9243 | − | 14.1370i | −0.733487 | − | 0.694796i | ||||
\(415\) | 2.76247 | − | 50.9508i | 0.135604 | − | 2.50107i | ||||
\(416\) | −9.80513 | + | 11.5435i | −0.480736 | + | 0.565966i | ||||
\(417\) | −0.712654 | + | 4.34700i | −0.0348988 | + | 0.212874i | ||||
\(418\) | 23.2288 | + | 10.7468i | 1.13616 | + | 0.525643i | ||||
\(419\) | −27.7723 | − | 26.3073i | −1.35677 | − | 1.28520i | −0.923327 | − | 0.384014i | \(-0.874541\pi\) |
−0.433439 | − | 0.901183i | \(-0.642700\pi\) | |||||||
\(420\) | 2.18706 | + | 4.12524i | 0.106718 | + | 0.201291i | ||||
\(421\) | −13.5712 | + | 25.5979i | −0.661418 | + | 1.24757i | 0.294981 | + | 0.955503i | \(0.404687\pi\) |
−0.956399 | + | 0.292064i | \(0.905658\pi\) | |||||||
\(422\) | 10.6045 | + | 1.15331i | 0.516219 | + | 0.0561422i | ||||
\(423\) | 16.0170 | − | 3.52562i | 0.778776 | − | 0.171421i | ||||
\(424\) | 3.80563 | + | 2.28977i | 0.184818 | + | 0.111201i | ||||
\(425\) | −12.7103 | − | 7.64752i | −0.616539 | − | 0.370959i | ||||
\(426\) | −0.568412 | − | 3.46716i | −0.0275396 | − | 0.167984i | ||||
\(427\) | 4.98100 | − | 17.9399i | 0.241047 | − | 0.868174i | ||||
\(428\) | −0.921896 | − | 0.554686i | −0.0445615 | − | 0.0268118i | ||||
\(429\) | 1.60128 | − | 9.76736i | 0.0773104 | − | 0.471573i | ||||
\(430\) | −9.66056 | + | 24.2462i | −0.465873 | + | 1.16925i | ||||
\(431\) | 18.1322 | − | 13.7837i | 0.873397 | − | 0.663939i | −0.0692978 | − | 0.997596i | \(-0.522076\pi\) |
0.942695 | + | 0.333657i | \(0.108283\pi\) | |||||||
\(432\) | −5.29590 | + | 5.01655i | −0.254799 | + | 0.241359i | ||||
\(433\) | 5.81454 | − | 20.9421i | 0.279429 | − | 1.00641i | −0.681999 | − | 0.731353i | \(-0.738889\pi\) |
0.961428 | − | 0.275058i | \(-0.0886971\pi\) | |||||||
\(434\) | 14.1337 | + | 50.9049i | 0.678438 | + | 2.44351i | ||||
\(435\) | −5.35784 | + | 2.47880i | −0.256889 | + | 0.118849i | ||||
\(436\) | −6.12676 | − | 2.06435i | −0.293419 | − | 0.0988643i | ||||
\(437\) | 23.5321 | − | 22.2908i | 1.12569 | − | 1.06631i | ||||
\(438\) | 6.74945 | + | 3.12263i | 0.322501 | + | 0.149205i | ||||
\(439\) | −0.978720 | + | 18.0514i | −0.0467118 | + | 0.861548i | 0.877479 | + | 0.479616i | \(0.159224\pi\) |
−0.924190 | + | 0.381932i | \(0.875259\pi\) | |||||||
\(440\) | −2.43718 | + | 44.9512i | −0.116188 | + | 2.14297i | ||||
\(441\) | 17.1659 | + | 43.0832i | 0.817425 | + | 2.05158i | ||||
\(442\) | −2.95163 | + | 10.6308i | −0.140395 | + | 0.505657i | ||||
\(443\) | −26.2528 | − | 5.77868i | −1.24731 | − | 0.274554i | −0.458224 | − | 0.888837i | \(-0.651514\pi\) |
−0.789086 | + | 0.614283i | \(0.789445\pi\) | |||||||
\(444\) | 0.133529 | + | 0.0145221i | 0.00633700 | + | 0.000689190i | ||||
\(445\) | 1.62469 | − | 0.547422i | 0.0770177 | − | 0.0259503i | ||||
\(446\) | −3.99604 | − | 3.78525i | −0.189218 | − | 0.179237i | ||||
\(447\) | −0.0315528 | + | 0.581956i | −0.00149239 | + | 0.0275256i | ||||
\(448\) | −27.8713 | + | 32.8126i | −1.31679 | + | 1.55025i | ||||
\(449\) | 2.59981 | + | 9.36368i | 0.122693 | + | 0.441899i | 0.999222 | − | 0.0394500i | \(-0.0125606\pi\) |
−0.876529 | + | 0.481349i | \(0.840147\pi\) | |||||||
\(450\) | −17.7884 | − | 20.9421i | −0.838553 | − | 0.987221i | ||||
\(451\) | 13.6403 | − | 12.9208i | 0.642296 | − | 0.608415i | ||||
\(452\) | 0.462027 | + | 2.81824i | 0.0217319 | + | 0.132559i | ||||
\(453\) | −3.98422 | + | 2.39722i | −0.187195 | + | 0.112631i | ||||
\(454\) | −2.16432 | − | 13.2017i | −0.101576 | − | 0.619589i | ||||
\(455\) | 58.2731 | + | 68.6044i | 2.73189 | + | 3.21623i | ||||
\(456\) | −5.05874 | − | 5.95560i | −0.236897 | − | 0.278897i | ||||
\(457\) | 17.5122 | − | 8.10200i | 0.819185 | − | 0.378995i | 0.0348962 | − | 0.999391i | \(-0.488890\pi\) |
0.784289 | + | 0.620395i | \(0.213028\pi\) | |||||||
\(458\) | −9.67513 | − | 7.35484i | −0.452089 | − | 0.343669i | ||||
\(459\) | 1.86002 | − | 4.66831i | 0.0868185 | − | 0.217898i | ||||
\(460\) | 11.0684 | + | 5.12078i | 0.516067 | + | 0.238758i | ||||
\(461\) | 9.72195 | − | 5.84950i | 0.452796 | − | 0.272439i | −0.270834 | − | 0.962626i | \(-0.587300\pi\) |
0.723631 | + | 0.690187i | \(0.242472\pi\) | |||||||
\(462\) | 1.85572 | − | 11.3194i | 0.0863359 | − | 0.526626i | ||||
\(463\) | 3.46688 | + | 8.70121i | 0.161120 | + | 0.404380i | 0.987266 | − | 0.159075i | \(-0.0508512\pi\) |
−0.826147 | + | 0.563455i | \(0.809472\pi\) | |||||||
\(464\) | −6.36957 | − | 6.03358i | −0.295700 | − | 0.280102i | ||||
\(465\) | −7.40339 | − | 13.9643i | −0.343324 | − | 0.647578i | ||||
\(466\) | −3.30807 | + | 2.51473i | −0.153243 | + | 0.116493i | ||||
\(467\) | −4.11198 | − | 1.38549i | −0.190280 | − | 0.0641127i | 0.222548 | − | 0.974922i | \(-0.428562\pi\) |
−0.412828 | + | 0.910809i | \(0.635459\pi\) | |||||||
\(468\) | 4.28789 | − | 6.32416i | 0.198208 | − | 0.292334i | ||||
\(469\) | −20.2347 | + | 19.1673i | −0.934350 | + | 0.885063i | ||||
\(470\) | 22.2994 | − | 13.4171i | 1.02859 | − | 0.618884i | ||||
\(471\) | −2.78959 | −0.128538 | ||||||||
\(472\) | −20.1021 | −0.925276 | ||||||||
\(473\) | −20.5404 | + | 12.3587i | −0.944447 | + | 0.568255i | ||||
\(474\) | −0.295200 | − | 0.347537i | −0.0135590 | − | 0.0159629i | ||||
\(475\) | 34.4909 | − | 26.2193i | 1.58255 | − | 1.20303i | ||||
\(476\) | 1.27886 | − | 4.60605i | 0.0586166 | − | 0.211118i | ||||
\(477\) | −3.63202 | − | 1.68035i | −0.166299 | − | 0.0769381i | ||||
\(478\) | −17.7870 | − | 3.91522i | −0.813559 | − | 0.179078i | ||||
\(479\) | −1.46605 | + | 2.16226i | −0.0669856 | + | 0.0987964i | −0.859706 | − | 0.510789i | \(-0.829354\pi\) |
0.792721 | + | 0.609585i | \(0.208664\pi\) | |||||||
\(480\) | 2.45969 | − | 4.63947i | 0.112269 | − | 0.211762i | ||||
\(481\) | 2.57421 | − | 0.279962i | 0.117374 | − | 0.0127652i | ||||
\(482\) | 5.13054 | + | 7.56698i | 0.233690 | + | 0.344667i | ||||
\(483\) | −12.4472 | − | 7.48925i | −0.566369 | − | 0.340773i | ||||
\(484\) | −1.85015 | + | 2.17816i | −0.0840975 | + | 0.0990073i | ||||
\(485\) | 64.4644 | 2.92718 | ||||||||
\(486\) | 9.16162 | − | 10.7859i | 0.415580 | − | 0.489258i | ||||
\(487\) | 10.2746 | − | 37.0058i | 0.465587 | − | 1.67689i | −0.242008 | − | 0.970274i | \(-0.577806\pi\) |
0.707595 | − | 0.706618i | \(-0.249780\pi\) | |||||||
\(488\) | −11.1100 | + | 3.74339i | −0.502925 | + | 0.169455i | ||||
\(489\) | 0.478785 | − | 0.706155i | 0.0216514 | − | 0.0319334i | ||||
\(490\) | 47.6425 | + | 56.0890i | 2.15227 | + | 2.53384i | ||||
\(491\) | −18.9001 | + | 14.3675i | −0.852949 | + | 0.648395i | −0.937485 | − | 0.348025i | \(-0.886852\pi\) |
0.0845357 | + | 0.996420i | \(0.473059\pi\) | |||||||
\(492\) | −1.16282 | + | 0.391801i | −0.0524242 | + | 0.0176638i | ||||
\(493\) | 5.72762 | + | 1.92986i | 0.257959 | + | 0.0869165i | ||||
\(494\) | −25.6538 | − | 19.5015i | −1.15422 | − | 0.877414i | ||||
\(495\) | −2.19602 | − | 40.5032i | −0.0987038 | − | 1.82048i | ||||
\(496\) | 15.2068 | − | 17.9029i | 0.682807 | − | 0.803862i | ||||
\(497\) | 10.8624 | + | 27.2626i | 0.487246 | + | 1.22289i | ||||
\(498\) | 7.43004 | − | 3.43750i | 0.332948 | − | 0.154038i | ||||
\(499\) | −9.07310 | + | 22.7718i | −0.406168 | + | 1.01940i | 0.573577 | + | 0.819152i | \(0.305555\pi\) |
−0.979744 | + | 0.200252i | \(0.935824\pi\) | |||||||
\(500\) | 5.48536 | + | 3.30043i | 0.245313 | + | 0.147600i | ||||
\(501\) | −1.95560 | + | 4.90819i | −0.0873699 | + | 0.219282i | ||||
\(502\) | −28.9340 | + | 3.14676i | −1.29139 | + | 0.140447i | ||||
\(503\) | −8.43248 | + | 2.84123i | −0.375986 | + | 0.126684i | −0.500949 | − | 0.865477i | \(-0.667015\pi\) |
0.124963 | + | 0.992161i | \(0.460119\pi\) | |||||||
\(504\) | 23.2299 | − | 34.2616i | 1.03474 | − | 1.52613i | ||||
\(505\) | −39.6548 | − | 4.31272i | −1.76462 | − | 0.191913i | ||||
\(506\) | −14.0337 | − | 26.4704i | −0.623874 | − | 1.17675i | ||||
\(507\) | −2.28491 | + | 5.73469i | −0.101476 | + | 0.254687i | ||||
\(508\) | −0.339555 | − | 6.26272i | −0.0150653 | − | 0.277863i | ||||
\(509\) | 21.1391 | 0.936975 | 0.468487 | − | 0.883470i | \(-0.344799\pi\) | ||||
0.468487 | + | 0.883470i | \(0.344799\pi\) | |||||||
\(510\) | 0.207095 | − | 3.81963i | 0.00917030 | − | 0.169136i | ||||
\(511\) | −60.6654 | − | 13.3535i | −2.68368 | − | 0.590723i | ||||
\(512\) | 23.7208 | + | 2.57979i | 1.04832 | + | 0.114012i | ||||
\(513\) | 10.6557 | + | 10.0936i | 0.470462 | + | 0.445645i | ||||
\(514\) | 4.51509 | − | 2.71664i | 0.199152 | − | 0.119826i | ||||
\(515\) | 5.15766 | + | 3.92075i | 0.227274 | + | 0.172769i | ||||
\(516\) | 1.55640 | − | 0.169269i | 0.0685167 | − | 0.00745164i | ||||
\(517\) | 23.7625 | + | 2.58433i | 1.04507 | + | 0.113659i | ||||
\(518\) | 2.98325 | − | 0.324448i | 0.131076 | − | 0.0142554i | ||||
\(519\) | −8.65686 | + | 4.00509i | −0.379994 | + | 0.175804i | ||||
\(520\) | 15.1632 | − | 54.6130i | 0.664952 | − | 2.39494i | ||||
\(521\) | −12.5505 | − | 18.5106i | −0.549847 | − | 0.810964i | 0.446640 | − | 0.894714i | \(-0.352621\pi\) |
−0.996487 | + | 0.0837503i | \(0.973310\pi\) | |||||||
\(522\) | 8.91284 | + | 6.77536i | 0.390104 | + | 0.296550i | ||||
\(523\) | 6.10626 | − | 37.2466i | 0.267008 | − | 1.62868i | −0.423881 | − | 0.905718i | \(-0.639333\pi\) |
0.690889 | − | 0.722961i | \(-0.257219\pi\) | |||||||
\(524\) | 0.681377 | − | 4.15621i | 0.0297661 | − | 0.181565i | ||||
\(525\) | −15.4576 | − | 11.7506i | −0.674626 | − | 0.512838i | ||||
\(526\) | −11.2382 | − | 16.5750i | −0.490007 | − | 0.722706i | ||||
\(527\) | −4.32906 | + | 15.5919i | −0.188577 | + | 0.679192i | ||||
\(528\) | −4.62865 | + | 2.14144i | −0.201436 | + | 0.0931943i | ||||
\(529\) | −14.8552 | + | 1.61560i | −0.645880 | + | 0.0702436i | ||||
\(530\) | −6.31306 | − | 0.686587i | −0.274222 | − | 0.0298234i | ||||
\(531\) | 18.0068 | − | 1.95836i | 0.781429 | − | 0.0849855i | ||||
\(532\) | 11.1151 | + | 8.44947i | 0.481900 | + | 0.366331i | ||||
\(533\) | −20.2694 | + | 12.1957i | −0.877966 | + | 0.528255i | ||||
\(534\) | 0.199699 | + | 0.189165i | 0.00864182 | + | 0.00818596i | ||||
\(535\) | 7.14915 | + | 0.777517i | 0.309085 | + | 0.0336150i | ||||
\(536\) | 17.1398 | + | 3.77275i | 0.740326 | + | 0.162958i | ||||
\(537\) | 0.285383 | − | 5.26359i | 0.0123152 | − | 0.227141i | ||||
\(538\) | 3.34680 | 0.144291 | ||||||||
\(539\) | 3.65933 | + | 67.4924i | 0.157618 | + | 2.90710i | ||||
\(540\) | −2.04404 | + | 5.13015i | −0.0879613 | + | 0.220766i | ||||
\(541\) | −17.6303 | − | 33.2543i | −0.757985 | − | 1.42971i | −0.898198 | − | 0.439591i | \(-0.855124\pi\) |
0.140213 | − | 0.990121i | \(-0.455221\pi\) | |||||||
\(542\) | 9.69819 | + | 1.05474i | 0.416573 | + | 0.0453050i | ||||
\(543\) | 2.50520 | − | 3.69489i | 0.107508 | − | 0.158563i | ||||
\(544\) | −5.09475 | + | 1.71662i | −0.218436 | + | 0.0735995i | ||||
\(545\) | 42.9599 | − | 4.67217i | 1.84020 | − | 0.200134i | ||||
\(546\) | −5.34551 | + | 13.4162i | −0.228767 | + | 0.574162i | ||||
\(547\) | 32.1129 | + | 19.3217i | 1.37305 | + | 0.826136i | 0.995022 | − | 0.0996588i | \(-0.0317751\pi\) |
0.378027 | + | 0.925795i | \(0.376603\pi\) | |||||||
\(548\) | −0.0613753 | + | 0.154041i | −0.00262182 | + | 0.00658028i | ||||
\(549\) | 9.58725 | − | 4.43554i | 0.409174 | − | 0.189304i | ||||
\(550\) | −14.8227 | − | 37.2021i | −0.632040 | − | 1.58630i | ||||
\(551\) | −11.4283 | + | 13.4545i | −0.486864 | + | 0.573180i | ||||
\(552\) | 0.495212 | + | 9.13365i | 0.0210776 | + | 0.388754i | ||||
\(553\) | 3.03212 | + | 2.30496i | 0.128939 | + | 0.0980169i | ||||
\(554\) | 15.7729 | + | 5.31450i | 0.670126 | + | 0.225792i | ||||
\(555\) | −0.850770 | + | 0.286658i | −0.0361132 | + | 0.0121680i | ||||
\(556\) | −3.94548 | + | 2.99928i | −0.167326 | + | 0.127198i | ||||
\(557\) | 11.4746 | + | 13.5089i | 0.486192 | + | 0.572390i | 0.949484 | − | 0.313816i | \(-0.101608\pi\) |
−0.463291 | + | 0.886206i | \(0.653332\pi\) | |||||||
\(558\) | −16.8213 | + | 24.8095i | −0.712101 | + | 1.05027i | ||||
\(559\) | 28.6017 | − | 9.63704i | 1.20972 | − | 0.407603i | ||||
\(560\) | 12.4082 | − | 44.6904i | 0.524344 | − | 1.88851i | ||||
\(561\) | 2.27449 | − | 2.67774i | 0.0960290 | − | 0.113054i | ||||
\(562\) | 26.6605 | 1.12461 | ||||||||
\(563\) | −1.85717 | + | 2.18643i | −0.0782705 | + | 0.0921471i | −0.799903 | − | 0.600129i | \(-0.795116\pi\) |
0.721633 | + | 0.692276i | \(0.243392\pi\) | |||||||
\(564\) | −1.33761 | − | 0.804812i | −0.0563234 | − | 0.0338887i | ||||
\(565\) | −10.7122 | − | 15.7993i | −0.450666 | − | 0.664683i | ||||
\(566\) | 29.8945 | − | 3.25122i | 1.25656 | − | 0.136659i | ||||
\(567\) | −15.8677 | + | 29.9297i | −0.666382 | + | 1.25693i | ||||
\(568\) | 10.3702 | − | 15.2949i | 0.435124 | − | 0.641760i | ||||
\(569\) | 31.1456 | + | 6.85567i | 1.30569 | + | 0.287405i | 0.812728 | − | 0.582644i | \(-0.197982\pi\) |
0.492966 | + | 0.870049i | \(0.335913\pi\) | |||||||
\(570\) | 10.1400 | + | 4.69125i | 0.424717 | + | 0.196495i | ||||
\(571\) | 9.28812 | − | 33.4528i | 0.388696 | − | 1.39996i | −0.467815 | − | 0.883826i | \(-0.654959\pi\) |
0.856511 | − | 0.516129i | \(-0.172627\pi\) | |||||||
\(572\) | 8.86519 | − | 6.73914i | 0.370672 | − | 0.281778i | ||||
\(573\) | −5.60246 | − | 6.59572i | −0.234046 | − | 0.275540i | ||||
\(574\) | −23.4902 | + | 14.1336i | −0.980463 | + | 0.589925i | ||||
\(575\) | −50.7159 | −2.11500 | ||||||||
\(576\) | −24.4264 | −1.01776 | ||||||||
\(577\) | −13.5427 | + | 8.14835i | −0.563789 | + | 0.339220i | −0.768750 | − | 0.639550i | \(-0.779121\pi\) |
0.204961 | + | 0.978770i | \(0.434293\pi\) | |||||||
\(578\) | 12.0478 | − | 11.4123i | 0.501124 | − | 0.474690i | ||||
\(579\) | −0.878415 | + | 1.29557i | −0.0365057 | + | 0.0538419i | ||||
\(580\) | −6.29426 | − | 2.12078i | −0.261355 | − | 0.0880607i | ||||
\(581\) | −54.4380 | + | 41.3827i | −2.25847 | + | 1.71684i | ||||
\(582\) | 4.84468 | + | 9.13804i | 0.200819 | + | 0.378784i | ||||
\(583\) | −4.23437 | − | 4.01101i | −0.175370 | − | 0.166119i | ||||
\(584\) | 14.4776 | + | 36.3360i | 0.599087 | + | 1.50360i | ||||
\(585\) | −8.26229 | + | 50.3977i | −0.341604 | + | 2.08369i | ||||
\(586\) | −5.80418 | + | 3.49226i | −0.239769 | + | 0.144264i | ||||
\(587\) | −35.8296 | − | 16.5765i | −1.47885 | − | 0.684187i | −0.495950 | − | 0.868351i | \(-0.665180\pi\) |
−0.982896 | + | 0.184164i | \(0.941042\pi\) | |||||||
\(588\) | 1.63392 | − | 4.10083i | 0.0673817 | − | 0.169115i | ||||
\(589\) | −37.6255 | − | 28.6022i | −1.55033 | − | 1.17853i | ||||
\(590\) | 26.0856 | − | 12.0685i | 1.07393 | − | 0.496851i | ||||
\(591\) | 6.33145 | + | 7.45395i | 0.260441 | + | 0.306615i | ||||
\(592\) | −0.863765 | − | 1.01690i | −0.0355005 | − | 0.0417944i | ||||
\(593\) | 5.99323 | + | 36.5571i | 0.246112 | + | 1.50122i | 0.763690 | + | 0.645583i | \(0.223386\pi\) |
−0.517578 | + | 0.855636i | \(0.673166\pi\) | |||||||
\(594\) | 11.6246 | − | 6.99430i | 0.476964 | − | 0.286980i | ||||
\(595\) | 5.16915 | + | 31.5304i | 0.211914 | + | 1.29262i | ||||
\(596\) | −0.476047 | + | 0.450935i | −0.0194996 | + | 0.0184710i | ||||
\(597\) | −4.69641 | − | 5.52904i | −0.192211 | − | 0.226289i | ||||
\(598\) | 10.0916 | + | 36.3467i | 0.412677 | + | 1.48633i | ||||
\(599\) | −16.2383 | + | 19.1173i | −0.663481 | + | 0.781110i | −0.986231 | − | 0.165374i | \(-0.947117\pi\) |
0.322750 | + | 0.946484i | \(0.395393\pi\) | |||||||
\(600\) | −0.661920 | + | 12.2084i | −0.0270228 | + | 0.498406i | ||||
\(601\) | 21.4527 | + | 20.3210i | 0.875072 | + | 0.828913i | 0.986313 | − | 0.164881i | \(-0.0527240\pi\) |
−0.111241 | + | 0.993793i | \(0.535483\pi\) | |||||||
\(602\) | 33.1465 | − | 11.1684i | 1.35095 | − | 0.455188i | ||||
\(603\) | −15.7208 | − | 1.70974i | −0.640199 | − | 0.0696259i | ||||
\(604\) | −5.10914 | − | 1.12461i | −0.207888 | − | 0.0457596i | ||||
\(605\) | 5.11030 | − | 18.4057i | 0.207763 | − | 0.748296i | ||||
\(606\) | −2.36883 | − | 5.94531i | −0.0962271 | − | 0.241512i | ||||
\(607\) | 0.733702 | − | 13.5323i | 0.0297800 | − | 0.549260i | −0.945135 | − | 0.326681i | \(-0.894070\pi\) |
0.974915 | − | 0.222579i | \(-0.0714476\pi\) | |||||||
\(608\) | 0.850115 | − | 15.6795i | 0.0344767 | − | 0.635886i | ||||
\(609\) | 7.18026 | + | 3.32194i | 0.290959 | + | 0.134612i | ||||
\(610\) | 12.1695 | − | 11.5276i | 0.492729 | − | 0.466738i | ||||
\(611\) | −28.5192 | − | 9.60925i | −1.15376 | − | 0.388749i | ||||
\(612\) | 2.46151 | − | 1.13882i | 0.0995008 | − | 0.0460340i | ||||
\(613\) | −7.10927 | − | 25.6053i | −0.287141 | − | 1.03419i | −0.956616 | − | 0.291353i | \(-0.905895\pi\) |
0.669475 | − | 0.742835i | \(-0.266519\pi\) | |||||||
\(614\) | −7.96786 | + | 28.6976i | −0.321557 | + | 1.15814i | ||||
\(615\) | 5.95433 | − | 5.64024i | 0.240102 | − | 0.227437i | ||||
\(616\) | 48.0278 | − | 36.5098i | 1.93510 | − | 1.47102i | ||||
\(617\) | 9.07310 | − | 22.7718i | 0.365269 | − | 0.916757i | −0.625379 | − | 0.780321i | \(-0.715056\pi\) |
0.990649 | − | 0.136436i | \(-0.0435649\pi\) | |||||||
\(618\) | −0.168167 | + | 1.02577i | −0.00676465 | + | 0.0412626i | ||||
\(619\) | 25.1452 | + | 15.1294i | 1.01067 | + | 0.608100i | 0.921688 | − | 0.387933i | \(-0.126811\pi\) |
0.0889830 | + | 0.996033i | \(0.471638\pi\) | |||||||
\(620\) | 4.75733 | − | 17.1344i | 0.191059 | − | 0.688133i | ||||
\(621\) | −2.77960 | − | 16.9548i | −0.111542 | − | 0.680374i | ||||
\(622\) | 11.0690 | + | 6.66000i | 0.443827 | + | 0.267042i | ||||
\(623\) | −1.96870 | − | 1.18453i | −0.0788743 | − | 0.0474571i | ||||
\(624\) | 6.27106 | − | 1.38036i | 0.251043 | − | 0.0552588i | ||||
\(625\) | −1.61242 | − | 0.175361i | −0.0644967 | − | 0.00701444i | ||||
\(626\) | 12.8657 | − | 24.2672i | 0.514215 | − | 0.969913i | ||||
\(627\) | 4.80662 | + | 9.06625i | 0.191958 | + | 0.362071i | ||||
\(628\) | −2.27857 | − | 2.15838i | −0.0909248 | − | 0.0861286i | ||||
\(629\) | 0.834187 | + | 0.385936i | 0.0332612 | + | 0.0153883i | ||||
\(630\) | −9.57516 | + | 58.4059i | −0.381484 | + | 2.32695i | ||||
\(631\) | −11.4898 | + | 13.5269i | −0.457402 | + | 0.538495i | −0.941720 | − | 0.336396i | \(-0.890792\pi\) |
0.484318 | + | 0.874892i | \(0.339068\pi\) | |||||||
\(632\) | 0.129840 | − | 2.39476i | 0.00516477 | − | 0.0952586i | ||||
\(633\) | 3.10491 | + | 2.94112i | 0.123409 | + | 0.116899i | ||||
\(634\) | 15.6492 | − | 23.0809i | 0.621510 | − | 0.916659i | ||||
\(635\) | 19.6363 | + | 37.0380i | 0.779243 | + | 1.46981i | ||||
\(636\) | 0.140992 | + | 0.353863i | 0.00559068 | + | 0.0140316i | ||||
\(637\) | 13.7678 | − | 83.9800i | 0.545501 | − | 3.32741i | ||||
\(638\) | 9.15690 | + | 13.5054i | 0.362525 | + | 0.534684i | ||||
\(639\) | −7.79924 | + | 14.7109i | −0.308533 | + | 0.581955i | ||||
\(640\) | −16.1571 | + | 5.44396i | −0.638665 | + | 0.215191i | ||||
\(641\) | −15.7180 | + | 3.45979i | −0.620823 | + | 0.136654i | −0.514234 | − | 0.857650i | \(-0.671924\pi\) |
−0.106589 | + | 0.994303i | \(0.533993\pi\) | |||||||
\(642\) | 0.427064 | + | 1.07185i | 0.0168549 | + | 0.0423025i | ||||
\(643\) | 5.94048 | + | 3.57427i | 0.234270 | + | 0.140955i | 0.627849 | − | 0.778335i | \(-0.283936\pi\) |
−0.393579 | + | 0.919291i | \(0.628763\pi\) | |||||||
\(644\) | −4.37242 | − | 15.7480i | −0.172298 | − | 0.620560i | ||||
\(645\) | −8.96639 | + | 5.39490i | −0.353051 | + | 0.212424i | ||||
\(646\) | −4.23385 | − | 10.6262i | −0.166579 | − | 0.418081i | ||||
\(647\) | −17.8998 | − | 26.4002i | −0.703713 | − | 1.03790i | −0.996651 | − | 0.0817676i | \(-0.973943\pi\) |
0.292939 | − | 0.956131i | \(-0.405367\pi\) | |||||||
\(648\) | 21.2058 | − | 2.30626i | 0.833041 | − | 0.0905986i | ||||
\(649\) | 25.7813 | + | 5.67489i | 1.01200 | + | 0.222759i | ||||
\(650\) | 8.15710 | + | 49.7561i | 0.319948 | + | 1.95159i | ||||
\(651\) | −7.84007 | + | 19.6771i | −0.307277 | + | 0.771206i | ||||
\(652\) | 0.937446 | − | 0.206347i | 0.0367132 | − | 0.00808119i | ||||
\(653\) | 0.571463 | + | 0.125789i | 0.0223631 | + | 0.00492248i | 0.226138 | − | 0.974095i | \(-0.427390\pi\) |
−0.203775 | + | 0.979018i | \(0.565321\pi\) | |||||||
\(654\) | 3.89085 | + | 5.73858i | 0.152144 | + | 0.224396i | ||||
\(655\) | 7.53115 | + | 27.1248i | 0.294266 | + | 1.05985i | ||||
\(656\) | 11.0624 | + | 5.11803i | 0.431916 | + | 0.199826i | ||||
\(657\) | −16.5084 | − | 31.1382i | −0.644054 | − | 1.21482i | ||||
\(658\) | −33.0509 | − | 11.1362i | −1.28846 | − | 0.434133i | ||||
\(659\) | 17.1055 | + | 7.91383i | 0.666334 | + | 0.308279i | 0.723741 | − | 0.690072i | \(-0.242421\pi\) |
−0.0574067 | + | 0.998351i | \(0.518283\pi\) | |||||||
\(660\) | −2.49951 | + | 2.94264i | −0.0972931 | + | 0.114542i | ||||
\(661\) | 0.942023 | + | 17.3746i | 0.0366404 | + | 0.675793i | 0.957945 | + | 0.286952i | \(0.0926419\pi\) |
−0.921305 | + | 0.388841i | \(0.872875\pi\) | |||||||
\(662\) | −16.2331 | − | 12.3401i | −0.630917 | − | 0.479611i | ||||
\(663\) | −3.52150 | + | 2.67697i | −0.136764 | + | 0.103965i | ||||
\(664\) | 40.8042 | + | 13.7485i | 1.58351 | + | 0.533547i | ||||
\(665\) | −91.1401 | − | 20.0614i | −3.53426 | − | 0.777949i | ||||
\(666\) | 1.23607 | + | 1.17086i | 0.0478966 | + | 0.0453701i | ||||
\(667\) | 20.1813 | − | 4.44224i | 0.781422 | − | 0.172004i | ||||
\(668\) | −5.39495 | + | 2.49597i | −0.208737 | + | 0.0965719i | ||||
\(669\) | −0.357023 | − | 2.17775i | −0.0138033 | − | 0.0841965i | ||||
\(670\) | −24.5065 | + | 5.39428i | −0.946767 | + | 0.208399i | ||||
\(671\) | 15.3055 | − | 1.66457i | 0.590861 | − | 0.0642600i | ||||
\(672\) | −6.87278 | + | 1.51281i | −0.265123 | + | 0.0583580i | ||||
\(673\) | −0.0887429 | + | 1.63677i | −0.00342079 | + | 0.0630927i | −0.999745 | − | 0.0225655i | \(-0.992817\pi\) |
0.996325 | + | 0.0856582i | \(0.0272993\pi\) | |||||||
\(674\) | −7.68965 | −0.296194 | ||||||||
\(675\) | −1.24330 | − | 22.9314i | −0.0478547 | − | 0.882628i | ||||
\(676\) | −6.30341 | + | 2.91627i | −0.242439 | + | 0.112164i | ||||
\(677\) | 25.1819 | − | 37.1406i | 0.967820 | − | 1.42743i | 0.0647666 | − | 0.997900i | \(-0.479370\pi\) |
0.903054 | − | 0.429528i | \(-0.141320\pi\) | |||||||
\(678\) | 1.43455 | − | 2.70586i | 0.0550937 | − | 0.103918i | ||||
\(679\) | −55.9286 | − | 65.8442i | −2.14634 | − | 2.52687i | ||||
\(680\) | 14.6063 | − | 13.8358i | 0.560126 | − | 0.530579i | ||||
\(681\) | 2.51238 | − | 4.73886i | 0.0962747 | − | 0.181593i | ||||
\(682\) | −34.7779 | + | 26.4375i | −1.33171 | + | 1.01234i | ||||
\(683\) | 3.74850 | + | 13.5009i | 0.143432 | + | 0.516596i | 1.00000 | 0.000561516i | \(0.000178736\pi\) | |
−0.856568 | + | 0.516035i | \(0.827407\pi\) | |||||||
\(684\) | 0.428868 | + | 7.91001i | 0.0163982 | + | 0.302447i | ||||
\(685\) | −0.0600032 | − | 1.10669i | −0.00229260 | − | 0.0422846i | ||||
\(686\) | 9.29426 | − | 56.6925i | 0.354856 | − | 2.16453i | ||||
\(687\) | −1.30357 | − | 4.69503i | −0.0497342 | − | 0.179126i | ||||
\(688\) | −12.3806 | − | 9.41149i | −0.472006 | − | 0.358810i | ||||
\(689\) | 4.12103 | + | 6.07806i | 0.156999 | + | 0.231556i | ||||
\(690\) | −6.12607 | − | 11.5550i | −0.233215 | − | 0.439891i | ||||
\(691\) | −13.4840 | − | 1.46647i | −0.512956 | − | 0.0557873i | −0.152019 | − | 0.988378i | \(-0.548578\pi\) |
−0.360937 | + | 0.932590i | \(0.617543\pi\) | |||||||
\(692\) | −10.1699 | − | 3.42662i | −0.386600 | − | 0.130261i | ||||
\(693\) | −39.4649 | + | 37.3831i | −1.49915 | + | 1.42007i | ||||
\(694\) | 17.9670 | − | 6.05379i | 0.682019 | − | 0.229799i | ||||
\(695\) | 15.5166 | − | 29.2674i | 0.588577 | − | 1.11017i | ||||
\(696\) | −0.805944 | − | 4.91604i | −0.0305492 | − | 0.186342i | ||||
\(697\) | −8.39686 | −0.318054 | ||||||||
\(698\) | −3.64995 | − | 22.2426i | −0.138152 | − | 0.841895i | ||||
\(699\) | −1.66602 | −0.0630148 | ||||||||
\(700\) | −3.53425 | − | 21.5580i | −0.133582 | − | 0.814814i | ||||
\(701\) | 11.0164 | − | 20.7791i | 0.416083 | − | 0.784816i | −0.583545 | − | 0.812081i | \(-0.698335\pi\) |
0.999628 | + | 0.0272646i | \(0.00867967\pi\) | |||||||
\(702\) | −16.1869 | + | 5.45399i | −0.610934 | + | 0.205848i | ||||
\(703\) | −1.94899 | + | 1.84618i | −0.0735075 | + | 0.0696300i | ||||
\(704\) | −33.7363 | − | 11.3671i | −1.27148 | − | 0.428412i | ||||
\(705\) | 10.3729 | + | 1.12812i | 0.390667 | + | 0.0424876i | ||||
\(706\) | 3.63941 | + | 6.86465i | 0.136971 | + | 0.258354i | ||||
\(707\) | 29.9990 | + | 44.2452i | 1.12823 | + | 1.66401i | ||||
\(708\) | −1.37252 | − | 1.04336i | −0.0515823 | − | 0.0392119i | ||||
\(709\) | 1.14116 | + | 4.11009i | 0.0428572 | + | 0.154358i | 0.981883 | − | 0.189490i | \(-0.0606834\pi\) |
−0.939025 | + | 0.343848i | \(0.888270\pi\) | |||||||
\(710\) | −4.27450 | + | 26.0733i | −0.160419 | + | 0.978513i | ||||
\(711\) | 0.116992 | + | 2.15780i | 0.00438756 | + | 0.0809237i | ||||
\(712\) | 0.0783246 | + | 1.44461i | 0.00293534 | + | 0.0541391i | ||||
\(713\) | 14.8010 | + | 53.3084i | 0.554302 | + | 1.99642i | ||||
\(714\) | −4.08106 | + | 3.10234i | −0.152730 | + | 0.116102i | ||||
\(715\) | −34.8645 | + | 65.7614i | −1.30386 | + | 2.45934i | ||||
\(716\) | 4.30567 | − | 4.07855i | 0.160910 | − | 0.152422i | ||||
\(717\) | −4.72728 | − | 5.56538i | −0.176543 | − | 0.207843i | ||||
\(718\) | 10.5026 | − | 19.8100i | 0.391954 | − | 0.739304i | ||||
\(719\) | 5.45417 | − | 8.04430i | 0.203406 | − | 0.300002i | −0.712280 | − | 0.701895i | \(-0.752337\pi\) |
0.915686 | + | 0.401893i | \(0.131648\pi\) | |||||||
\(720\) | 23.8830 | − | 11.0494i | 0.890065 | − | 0.411788i | ||||
\(721\) | −0.470055 | − | 8.66965i | −0.0175058 | − | 0.322875i | ||||
\(722\) | 10.4849 | 0.390207 | ||||||||
\(723\) | −0.198443 | + | 3.66007i | −0.00738017 | + | 0.136119i | ||||
\(724\) | 4.90510 | − | 1.07969i | 0.182296 | − | 0.0401265i | ||||
\(725\) | 27.4590 | − | 2.98634i | 1.01980 | − | 0.110910i | ||||
\(726\) | 2.99312 | − | 0.658834i | 0.111085 | − | 0.0244516i | ||||
\(727\) | −6.47528 | − | 39.4975i | −0.240155 | − | 1.46488i | −0.781408 | − | 0.624020i | \(-0.785498\pi\) |
0.541253 | − | 0.840860i | \(-0.317950\pi\) | |||||||
\(728\) | −68.9374 | + | 31.8939i | −2.55499 | + | 1.18206i | ||||
\(729\) | −14.8175 | + | 3.26158i | −0.548797 | + | 0.120799i | ||||
\(730\) | −40.6015 | − | 38.4598i | −1.50273 | − | 1.42346i | ||||
\(731\) | 10.4629 | + | 2.30306i | 0.386985 | + | 0.0851817i | ||||
\(732\) | −0.952850 | − | 0.321053i | −0.0352184 | − | 0.0118664i | ||||
\(733\) | −18.7865 | + | 14.2811i | −0.693895 | + | 0.527485i | −0.891627 | − | 0.452771i | \(-0.850436\pi\) |
0.197732 | + | 0.980256i | \(0.436642\pi\) | |||||||
\(734\) | 25.6983 | + | 19.5354i | 0.948542 | + | 0.721063i | ||||
\(735\) | 1.59739 | + | 29.4621i | 0.0589206 | + | 1.08673i | ||||
\(736\) | −11.8997 | + | 14.0094i | −0.438628 | + | 0.516393i | ||||
\(737\) | −20.9170 | − | 9.67722i | −0.770486 | − | 0.356465i | ||||
\(738\) | −14.7399 | − | 4.96644i | −0.542582 | − | 0.182817i | ||||
\(739\) | −12.4212 | − | 23.4289i | −0.456921 | − | 0.861845i | −0.999758 | − | 0.0220064i | \(-0.992995\pi\) |
0.542837 | − | 0.839838i | \(-0.317350\pi\) | |||||||
\(740\) | −0.916713 | − | 0.424117i | −0.0336990 | − | 0.0155908i | ||||
\(741\) | −3.45643 | − | 12.4489i | −0.126975 | − | 0.457323i | ||||
\(742\) | 4.77586 | + | 7.04386i | 0.175327 | + | 0.258588i | ||||
\(743\) | −15.1143 | − | 3.32691i | −0.554489 | − | 0.122052i | −0.0711182 | − | 0.997468i | \(-0.522657\pi\) |
−0.483371 | + | 0.875416i | \(0.660588\pi\) | |||||||
\(744\) | 13.0256 | − | 2.86716i | 0.477543 | − | 0.105115i | ||||
\(745\) | 1.62224 | − | 4.07150i | 0.0594341 | − | 0.149168i | ||||
\(746\) | −5.77510 | − | 35.2266i | −0.211441 | − | 1.28974i | ||||
\(747\) | −37.8904 | − | 8.34031i | −1.38634 | − | 0.305156i | ||||
\(748\) | 3.92966 | − | 0.427376i | 0.143683 | − | 0.0156264i | ||||
\(749\) | −5.40836 | − | 7.97674i | −0.197617 | − | 0.291464i | ||||
\(750\) | −2.54107 | − | 6.37760i | −0.0927866 | − | 0.232877i | ||||
\(751\) | 14.7419 | − | 8.86993i | 0.537941 | − | 0.323668i | −0.220525 | − | 0.975381i | \(-0.570777\pi\) |
0.758466 | + | 0.651713i | \(0.225949\pi\) | |||||||
\(752\) | 4.14852 | + | 14.9416i | 0.151281 | + | 0.544865i | ||||
\(753\) | −9.99863 | − | 6.01597i | −0.364370 | − | 0.219234i | ||||
\(754\) | −7.60410 | − | 19.0849i | −0.276925 | − | 0.695029i | ||||
\(755\) | 34.1494 | − | 7.51684i | 1.24282 | − | 0.273566i | ||||
\(756\) | 7.01333 | − | 2.36307i | 0.255072 | − | 0.0859439i | ||||
\(757\) | −15.1794 | + | 28.6314i | −0.551704 | + | 1.04062i | 0.438199 | + | 0.898878i | \(0.355617\pi\) |
−0.989903 | + | 0.141746i | \(0.954728\pi\) | |||||||
\(758\) | 9.62817 | + | 14.2005i | 0.349711 | + | 0.515785i | ||||
\(759\) | 1.94334 | − | 11.8538i | 0.0705387 | − | 0.430267i | ||||
\(760\) | 21.7503 | + | 54.5890i | 0.788965 | + | 1.98015i | ||||
\(761\) | 10.8996 | + | 20.5588i | 0.395110 | + | 0.745257i | 0.998643 | − | 0.0520814i | \(-0.0165855\pi\) |
−0.603533 | + | 0.797338i | \(0.706241\pi\) | |||||||
\(762\) | −3.77453 | + | 5.56702i | −0.136737 | + | 0.201672i | ||||
\(763\) | −42.0437 | − | 39.8259i | −1.52208 | − | 1.44179i | ||||
\(764\) | 0.527123 | − | 9.72222i | 0.0190707 | − | 0.351737i | ||||
\(765\) | −11.7359 | + | 13.8166i | −0.424313 | + | 0.499540i | ||||
\(766\) | 6.26976 | − | 38.2438i | 0.226536 | − | 1.38181i | ||||
\(767\) | −30.1651 | − | 13.9559i | −1.08920 | − | 0.503917i | ||||
\(768\) | 4.21681 | + | 3.99438i | 0.152161 | + | 0.144135i | ||||
\(769\) | 20.9225 | + | 39.4640i | 0.754484 | + | 1.42311i | 0.900964 | + | 0.433893i | \(0.142861\pi\) |
−0.146481 | + | 0.989214i | \(0.546795\pi\) | |||||||
\(770\) | −40.4045 | + | 76.2109i | −1.45608 | + | 2.74645i | ||||
\(771\) | 2.10027 | + | 0.228418i | 0.0756394 | + | 0.00822628i | ||||
\(772\) | −1.71991 | + | 0.378581i | −0.0619009 | + | 0.0136254i | ||||
\(773\) | −9.95523 | − | 5.98986i | −0.358065 | − | 0.215440i | 0.325142 | − | 0.945665i | \(-0.394588\pi\) |
−0.683207 | + | 0.730225i | \(0.739415\pi\) | |||||||
\(774\) | 17.0044 | + | 10.2312i | 0.611212 | + | 0.367754i | ||||
\(775\) | 11.9637 | + | 72.9755i | 0.429750 | + | 2.62136i | ||||
\(776\) | −14.5532 | + | 52.4157i | −0.522428 | + | 1.88161i | ||||
\(777\) | 1.03091 | + | 0.620279i | 0.0369838 | + | 0.0222524i | ||||
\(778\) | 0.350065 | − | 2.13530i | 0.0125504 | − | 0.0765543i | ||||
\(779\) | 9.07769 | − | 22.7833i | 0.325242 | − | 0.816296i | ||||
\(780\) | 3.86988 | − | 2.94181i | 0.138564 | − | 0.105334i | ||||
\(781\) | −17.6177 | + | 16.6884i | −0.630412 | + | 0.597158i | ||||
\(782\) | −3.58215 | + | 12.9018i | −0.128098 | + | 0.461366i | ||||
\(783\) | 2.50331 | + | 9.01613i | 0.0894612 | + | 0.322210i | ||||
\(784\) | −39.7973 | + | 18.4122i | −1.42133 | + | 0.657578i | ||||
\(785\) | 19.8798 | + | 6.69829i | 0.709541 | + | 0.239072i | ||||
\(786\) | −3.27904 | + | 3.10607i | −0.116959 | + | 0.110790i | ||||
\(787\) | −10.2389 | − | 4.73702i | −0.364977 | − | 0.168856i | 0.228825 | − | 0.973468i | \(-0.426512\pi\) |
−0.593802 | + | 0.804611i | \(0.702374\pi\) | |||||||
\(788\) | −0.595712 | + | 10.9873i | −0.0212214 | + | 0.391405i | ||||
\(789\) | 0.434678 | − | 8.01716i | 0.0154749 | − | 0.285419i | ||||
\(790\) | 1.26923 | + | 3.18552i | 0.0451571 | + | 0.113336i | ||||
\(791\) | −6.84371 | + | 24.6488i | −0.243334 | + | 0.876411i | ||||
\(792\) | 33.4288 | + | 7.35823i | 1.18784 | + | 0.261463i | ||||
\(793\) | −19.2704 | − | 2.09578i | −0.684311 | − | 0.0744233i | ||||
\(794\) | 17.5685 | − | 5.91953i | 0.623484 | − | 0.210076i | ||||
\(795\) | −1.84841 | − | 1.75091i | −0.0655563 | − | 0.0620982i | ||||
\(796\) | 0.441875 | − | 8.14991i | 0.0156619 | − | 0.288866i | ||||
\(797\) | −28.9889 | + | 34.1283i | −1.02684 | + | 1.20889i | −0.0491570 | + | 0.998791i | \(0.515653\pi\) |
−0.977681 | + | 0.210096i | \(0.932622\pi\) | |||||||
\(798\) | −4.00566 | − | 14.4271i | −0.141799 | − | 0.510713i | ||||
\(799\) | −6.91569 | − | 8.14178i | −0.244660 | − | 0.288036i | ||||
\(800\) | −17.8369 | + | 16.8960i | −0.630631 | + | 0.597365i | ||||
\(801\) | −0.210895 | − | 1.28640i | −0.00745162 | − | 0.0454528i | ||||
\(802\) | −3.15094 | + | 1.89586i | −0.111264 | + | 0.0669451i | ||||
\(803\) | −8.30997 | − | 50.6886i | −0.293252 | − | 1.78876i | ||||
\(804\) | 0.974438 | + | 1.14720i | 0.0343658 | + | 0.0404585i | ||||
\(805\) | 70.7213 | + | 83.2595i | 2.49260 | + | 2.93451i | ||||
\(806\) | 49.9189 | − | 23.0950i | 1.75832 | − | 0.813485i | ||||
\(807\) | 1.06823 | + | 0.812047i | 0.0376034 | + | 0.0285854i | ||||
\(808\) | 12.4589 | − | 31.2695i | 0.438303 | − | 1.10006i | ||||
\(809\) | 1.17292 | + | 0.542652i | 0.0412377 | + | 0.0190786i | 0.440400 | − | 0.897802i | \(-0.354837\pi\) |
−0.399162 | + | 0.916880i | \(0.630699\pi\) | |||||||
\(810\) | −26.1331 | + | 15.7238i | −0.918224 | + | 0.552477i | ||||
\(811\) | −3.27185 | + | 19.9574i | −0.114890 | + | 0.700799i | 0.865077 | + | 0.501639i | \(0.167270\pi\) |
−0.979967 | + | 0.199160i | \(0.936179\pi\) | |||||||
\(812\) | 3.29465 | + | 8.26894i | 0.115620 | + | 0.290183i | ||||
\(813\) | 2.83954 | + | 2.68976i | 0.0995871 | + | 0.0943339i | ||||
\(814\) | 1.16231 | + | 2.19234i | 0.0407389 | + | 0.0768416i | ||||
\(815\) | −5.10762 | + | 3.88271i | −0.178912 | + | 0.136005i | ||||
\(816\) | 2.15997 | + | 0.727779i | 0.0756142 | + | 0.0254774i | ||||
\(817\) | −17.5602 | + | 25.8993i | −0.614353 | + | 0.906103i | ||||
\(818\) | 27.6800 | − | 26.2199i | 0.967809 | − | 0.916757i | ||||
\(819\) | 58.6447 | − | 35.2853i | 2.04921 | − | 1.23297i | ||||
\(820\) | 9.22756 | 0.322240 | ||||||||
\(821\) | −11.0073 | −0.384156 | −0.192078 | − | 0.981380i | \(-0.561523\pi\) | ||||
−0.192078 | + | 0.981380i | \(0.561523\pi\) | |||||||
\(822\) | 0.152368 | − | 0.0916768i | 0.00531444 | − | 0.00319759i | ||||
\(823\) | 2.72960 | + | 3.21353i | 0.0951479 | + | 0.112017i | 0.807675 | − | 0.589628i | \(-0.200725\pi\) |
−0.712527 | + | 0.701644i | \(0.752450\pi\) | |||||||
\(824\) | −4.35231 | + | 3.30854i | −0.151620 | + | 0.115259i | ||||
\(825\) | 4.29539 | − | 15.4706i | 0.149546 | − | 0.538617i | ||||
\(826\) | −34.9583 | − | 16.1734i | −1.21636 | − | 0.562746i | ||||
\(827\) | −1.61445 | − | 0.355367i | −0.0561399 | − | 0.0123573i | 0.186812 | − | 0.982396i | \(-0.440185\pi\) |
−0.242952 | + | 0.970038i | \(0.578116\pi\) | |||||||
\(828\) | 5.20385 | − | 7.67511i | 0.180846 | − | 0.266728i | ||||
\(829\) | 12.2681 | − | 23.1402i | 0.426090 | − | 0.803691i | −0.573793 | − | 0.819000i | \(-0.694529\pi\) |
0.999883 | + | 0.0153097i | \(0.00487342\pi\) | |||||||
\(830\) | −61.2037 | + | 6.65630i | −2.12441 | + | 0.231044i | ||||
\(831\) | 3.74490 | + | 5.52331i | 0.129909 | + | 0.191602i | ||||
\(832\) | 38.4060 | + | 23.1081i | 1.33149 | + | 0.801130i | ||||
\(833\) | 19.5561 | − | 23.0232i | 0.677579 | − | 0.797708i | ||||
\(834\) | 5.31486 | 0.184038 | ||||||||
\(835\) | 25.7219 | − | 30.2821i | 0.890142 | − | 1.04796i | ||||
\(836\) | −3.08868 | + | 11.1244i | −0.106824 | + | 0.384746i | ||||
\(837\) | −23.7407 | + | 7.99918i | −0.820599 | + | 0.276492i | ||||
\(838\) | −25.9017 | + | 38.2022i | −0.894760 | + | 1.31967i | ||||
\(839\) | 20.2656 | + | 23.8585i | 0.699646 | + | 0.823687i | 0.991131 | − | 0.132888i | \(-0.0424251\pi\) |
−0.291485 | + | 0.956575i | \(0.594149\pi\) | |||||||
\(840\) | 20.9654 | − | 15.9375i | 0.723374 | − | 0.549895i | ||||
\(841\) | 16.8168 | − | 5.66625i | 0.579891 | − | 0.195388i | ||||
\(842\) | 33.1272 | + | 11.1619i | 1.14164 | + | 0.384663i | ||||
\(843\) | 8.50948 | + | 6.46874i | 0.293082 | + | 0.222795i | ||||
\(844\) | 0.260502 | + | 4.80468i | 0.00896686 | + | 0.165384i | ||||
\(845\) | 30.0532 | − | 35.3814i | 1.03386 | − | 1.21716i | ||||
\(846\) | −7.32425 | − | 18.3825i | −0.251813 | − | 0.632003i | ||||
\(847\) | −23.2332 | + | 10.7488i | −0.798304 | + | 0.369335i | ||||
\(848\) | 1.40054 | − | 3.51510i | 0.0480949 | − | 0.120709i | ||||
\(849\) | 10.3306 | + | 6.21569i | 0.354544 | + | 0.213322i | ||||
\(850\) | −6.62450 | + | 16.6262i | −0.227218 | + | 0.570275i | ||||
\(851\) | 3.12410 | − | 0.339766i | 0.107093 | − | 0.0116470i | ||||
\(852\) | 1.50190 | − | 0.506049i | 0.0514542 | − | 0.0173369i | ||||
\(853\) | −25.5985 | + | 37.7550i | −0.876477 | + | 1.29271i | 0.0787688 | + | 0.996893i | \(0.474901\pi\) |
−0.955246 | + | 0.295814i | \(0.904409\pi\) | |||||||
\(854\) | −22.3324 | − | 2.42880i | −0.764200 | − | 0.0831117i | ||||
\(855\) | −24.8012 | − | 46.7801i | −0.848184 | − | 1.59985i | ||||
\(856\) | −2.24615 | + | 5.63742i | −0.0767719 | + | 0.192683i | ||||
\(857\) | 0.457705 | + | 8.44188i | 0.0156349 | + | 0.288369i | 0.995886 | + | 0.0906131i | \(0.0288826\pi\) |
−0.980251 | + | 0.197756i | \(0.936635\pi\) | |||||||
\(858\) | −11.9421 | −0.407695 | ||||||||
\(859\) | −0.728042 | + | 13.4279i | −0.0248405 | + | 0.458155i | 0.959481 | + | 0.281773i | \(0.0909224\pi\) |
−0.984322 | + | 0.176383i | \(0.943560\pi\) | |||||||
\(860\) | −11.4980 | − | 2.53090i | −0.392079 | − | 0.0863031i | ||||
\(861\) | −10.9269 | − | 1.18837i | −0.372387 | − | 0.0404995i | ||||
\(862\) | −19.9509 | − | 18.8985i | −0.679531 | − | 0.643686i | ||||
\(863\) | 42.2646 | − | 25.4297i | 1.43870 | − | 0.865639i | 0.439238 | − | 0.898371i | \(-0.355248\pi\) |
0.999464 | + | 0.0327319i | \(0.0104207\pi\) | |||||||
\(864\) | −6.62610 | − | 5.03703i | −0.225425 | − | 0.171363i | ||||
\(865\) | 71.3093 | − | 7.75536i | 2.42459 | − | 0.263690i | ||||
\(866\) | −26.0696 | − | 2.83524i | −0.885882 | − | 0.0963455i | ||||
\(867\) | 6.61443 | − | 0.719363i | 0.224638 | − | 0.0244309i | ||||
\(868\) | −21.6285 | + | 10.0064i | −0.734120 | + | 0.339640i | ||||
\(869\) | −0.842571 | + | 3.03467i | −0.0285823 | + | 0.102944i | ||||
\(870\) | 3.99722 | + | 5.89546i | 0.135518 | + | 0.199875i | ||||
\(871\) | 23.1006 | + | 17.5606i | 0.782734 | + | 0.595019i | ||||
\(872\) | −5.89948 | + | 35.9853i | −0.199782 | + | 1.21861i | ||||
\(873\) | 7.92986 | − | 48.3700i | 0.268385 | − | 1.63708i | ||||
\(874\) | −31.1339 | − | 23.6674i | −1.05312 | − | 0.800560i | ||||
\(875\) | 32.1803 | + | 47.4623i | 1.08789 | + | 1.60452i | ||||
\(876\) | −0.897458 | + | 3.23235i | −0.0303223 | + | 0.109211i | ||||
\(877\) | −2.37761 | + | 1.10000i | −0.0802863 | + | 0.0371444i | −0.459621 | − | 0.888115i | \(-0.652015\pi\) |
0.379335 | + | 0.925259i | \(0.376153\pi\) | |||||||
\(878\) | 21.6840 | − | 2.35827i | 0.731798 | − | 0.0795879i | ||||
\(879\) | −2.69992 | − | 0.293633i | −0.0910659 | − | 0.00990401i | ||||
\(880\) | 38.1277 | − | 4.14664i | 1.28528 | − | 0.139783i | ||||
\(881\) | −8.22828 | − | 6.25498i | −0.277218 | − | 0.210736i | 0.457322 | − | 0.889301i | \(-0.348809\pi\) |
−0.734540 | + | 0.678566i | \(0.762602\pi\) | |||||||
\(882\) | 47.9462 | − | 28.8483i | 1.61443 | − | 0.971373i | ||||
\(883\) | 12.6692 | + | 12.0009i | 0.426352 | + | 0.403862i | 0.870560 | − | 0.492062i | \(-0.163757\pi\) |
−0.444209 | + | 0.895923i | \(0.646515\pi\) | |||||||
\(884\) | −4.94764 | − | 0.538088i | −0.166407 | − | 0.0180979i | ||||
\(885\) | 11.2542 | + | 2.47723i | 0.378305 | + | 0.0832713i | ||||
\(886\) | −1.75591 | + | 32.3859i | −0.0589910 | + | 1.08802i | ||||
\(887\) | −28.1699 | −0.945852 | −0.472926 | − | 0.881102i | \(-0.656802\pi\) | ||||
−0.472926 | + | 0.881102i | \(0.656802\pi\) | |||||||
\(888\) | −0.0410147 | − | 0.756472i | −0.00137636 | − | 0.0253855i | ||||
\(889\) | 20.7945 | − | 52.1904i | 0.697426 | − | 1.75041i | ||||
\(890\) | −0.968922 | − | 1.82758i | −0.0324783 | − | 0.0612606i | ||||
\(891\) | −27.8478 | − | 3.02863i | −0.932935 | − | 0.101463i | ||||
\(892\) | 1.39336 | − | 2.05504i | 0.0466530 | − | 0.0688080i | ||||
\(893\) | 29.5676 | − | 9.96249i | 0.989443 | − | 0.333382i | ||||
\(894\) | 0.699065 | − | 0.0760279i | 0.0233802 | − | 0.00254275i | ||||
\(895\) | −14.6725 | + | 36.8253i | −0.490449 | + | 1.23093i | ||||
\(896\) | 19.5782 | + | 11.7798i | 0.654061 | + | 0.393536i | ||||
\(897\) | −5.59790 | + | 14.0497i | −0.186909 | + | 0.469105i | ||||
\(898\) | 10.6414 | − | 4.92323i | 0.355107 | − | 0.164290i | ||||
\(899\) | −11.1527 | − | 27.9911i | −0.371962 | − | 0.933554i | ||||
\(900\) | 8.02408 | − | 9.44668i | 0.267469 | − | 0.314889i | ||||
\(901\) | 0.141121 | + | 2.60282i | 0.00470142 | + | 0.0867125i | ||||
\(902\) | −18.0466 | − | 13.7187i | −0.600888 | − | 0.456783i | ||||
\(903\) | 13.2895 | + | 4.47775i | 0.442247 | + | 0.149010i | ||||
\(904\) | 15.2647 | − | 5.14328i | 0.507697 | − | 0.171063i | ||||
\(905\) | −26.7251 | + | 20.3159i | −0.888374 | + | 0.675324i | ||||
\(906\) | 3.63196 | + | 4.27587i | 0.120664 | + | 0.142056i | ||||
\(907\) | 1.26632 | − | 1.86768i | 0.0420474 | − | 0.0620153i | −0.806084 | − | 0.591801i | \(-0.798417\pi\) |
0.848132 | + | 0.529785i | \(0.177728\pi\) | |||||||
\(908\) | 5.71871 | − | 1.92686i | 0.189782 | − | 0.0639451i | ||||
\(909\) | −8.11399 | + | 29.2239i | −0.269124 | + | 0.969297i | ||||
\(910\) | 70.3091 | − | 82.7742i | 2.33072 | − | 2.74394i | ||||
\(911\) | 7.87991 | 0.261073 | 0.130536 | − | 0.991444i | \(-0.458330\pi\) | ||||
0.130536 | + | 0.991444i | \(0.458330\pi\) | |||||||
\(912\) | −4.30980 | + | 5.07389i | −0.142712 | + | 0.168013i | ||||
\(913\) | −48.4508 | − | 29.1519i | −1.60349 | − | 0.964785i | ||||
\(914\) | −13.0650 | − | 19.2694i | −0.432150 | − | 0.637374i | ||||
\(915\) | 6.68123 | − | 0.726627i | 0.220875 | − | 0.0240216i | ||||
\(916\) | 2.56789 | − | 4.84355i | 0.0848454 | − | 0.160035i | ||||
\(917\) | 21.1714 | − | 31.2255i | 0.699141 | − | 1.03116i | ||||
\(918\) | −5.92139 | − | 1.30340i | −0.195435 | − | 0.0430185i | ||||
\(919\) | −45.4185 | − | 21.0128i | −1.49822 | − | 0.693150i | −0.512060 | − | 0.858950i | \(-0.671117\pi\) |
−0.986159 | + | 0.165800i | \(0.946979\pi\) | |||||||
\(920\) | 18.4024 | − | 66.2793i | 0.606708 | − | 2.18516i | ||||
\(921\) | −9.50619 | + | 7.22641i | −0.313239 | + | 0.238118i | ||||
\(922\) | −8.86240 | − | 10.4336i | −0.291868 | − | 0.343613i | ||||
\(923\) | 26.1799 | − | 15.7519i | 0.861722 | − | 0.518481i | ||||
\(924\) | 5.17417 | 0.170218 | ||||||||
\(925\) | 4.20042 | 0.138109 | ||||||||
\(926\) | 9.68336 | − | 5.82629i | 0.318215 | − | 0.191464i | ||||
\(927\) | 3.57634 | − | 3.38769i | 0.117462 | − | 0.111266i | ||||
\(928\) | 5.61788 | − | 8.28575i | 0.184416 | − | 0.271993i | ||||
\(929\) | 52.9906 | + | 17.8546i | 1.73856 | + | 0.585790i | 0.996427 | − | 0.0844584i | \(-0.0269160\pi\) |
0.742137 | + | 0.670249i | \(0.233813\pi\) | |||||||
\(930\) | −15.1814 | + | 11.5406i | −0.497819 | + | 0.378432i | ||||
\(931\) | 41.3274 | + | 77.9518i | 1.35445 | + | 2.55477i | ||||
\(932\) | −1.36083 | − | 1.28904i | −0.0445754 | − | 0.0422241i | ||||
\(933\) | 1.91706 | + | 4.81145i | 0.0627616 | + | 0.157520i | ||||
\(934\) | −0.846983 | + | 5.16637i | −0.0277141 | + | 0.169049i | ||||
\(935\) | −22.6387 | + | 13.6212i | −0.740364 | + | 0.445462i | ||||
\(936\) | −39.1129 | − | 18.0956i | −1.27845 | − | 0.591472i | ||||
\(937\) | −16.8200 | + | 42.2150i | −0.549486 | + | 1.37911i | 0.347764 | + | 0.937582i | \(0.386941\pi\) |
−0.897250 | + | 0.441523i | \(0.854438\pi\) | |||||||
\(938\) | 26.7713 | + | 20.3510i | 0.874113 | + | 0.664483i | ||||
\(939\) | 9.99449 | − | 4.62394i | 0.326158 | − | 0.150897i | ||||
\(940\) | 7.59987 | + | 8.94725i | 0.247880 | + | 0.291827i | ||||
\(941\) | −18.6673 | − | 21.9769i | −0.608538 | − | 0.716427i | 0.368467 | − | 0.929641i | \(-0.379883\pi\) |
−0.977005 | + | 0.213214i | \(0.931607\pi\) | |||||||
\(942\) | 0.544520 | + | 3.32142i | 0.0177414 | + | 0.108218i | ||||
\(943\) | −24.5993 | + | 14.8009i | −0.801064 | + | 0.481984i | ||||
\(944\) | 2.77069 | + | 16.9004i | 0.0901782 | + | 0.550063i | ||||
\(945\) | −35.9123 | + | 34.0180i | −1.16823 | + | 1.10660i | ||||
\(946\) | 18.7243 | + | 22.0440i | 0.608780 | + | 0.716711i | ||||
\(947\) | −12.7122 | − | 45.7851i | −0.413090 | − | 1.48782i | −0.818942 | − | 0.573877i | \(-0.805439\pi\) |
0.405851 | − | 0.913939i | \(-0.366975\pi\) | |||||||
\(948\) | 0.133160 | − | 0.156769i | 0.00432485 | − | 0.00509161i | ||||
\(949\) | −3.50124 | + | 64.5766i | −0.113655 | + | 2.09624i | ||||
\(950\) | −37.9505 | − | 35.9487i | −1.23128 | − | 1.16633i | ||||
\(951\) | 10.5951 | − | 3.56991i | 0.343570 | − | 0.115762i | ||||
\(952\) | −26.8042 | − | 2.91513i | −0.868729 | − | 0.0944800i | ||||
\(953\) | −6.95063 | − | 1.52995i | −0.225153 | − | 0.0495599i | 0.100961 | − | 0.994890i | \(-0.467808\pi\) |
−0.326114 | + | 0.945330i | \(0.605739\pi\) | |||||||
\(954\) | −1.29175 | + | 4.65247i | −0.0418220 | + | 0.150629i | ||||
\(955\) | 24.0880 | + | 60.4564i | 0.779470 | + | 1.95632i | ||||
\(956\) | 0.444780 | − | 8.20348i | 0.0143852 | − | 0.265319i | ||||
\(957\) | −0.354177 | + | 6.53242i | −0.0114489 | + | 0.211163i | ||||
\(958\) | 2.86067 | + | 1.32348i | 0.0924239 | + | 0.0427599i | ||||
\(959\) | −1.07832 | + | 1.02144i | −0.0348209 | + | 0.0329841i | ||||
\(960\) | −14.7267 | − | 4.96201i | −0.475303 | − | 0.160148i | ||||
\(961\) | 45.0795 | − | 20.8560i | 1.45418 | − | 0.672774i | ||||
\(962\) | −0.835813 | − | 3.01033i | −0.0269477 | − | 0.0970569i | ||||
\(963\) | 1.46283 | − | 5.26863i | 0.0471390 | − | 0.169779i | ||||
\(964\) | −2.99397 | + | 2.83604i | −0.0964294 | + | 0.0913428i | ||||
\(965\) | 9.37084 | − | 7.12352i | 0.301658 | − | 0.229314i | ||||
\(966\) | −6.48741 | + | 16.2822i | −0.208729 | + | 0.523870i | ||||
\(967\) | 1.30167 | − | 7.93985i | 0.0418589 | − | 0.255328i | −0.957604 | − | 0.288087i | \(-0.906981\pi\) |
0.999463 | + | 0.0327583i | \(0.0104292\pi\) | |||||||
\(968\) | 13.8119 | + | 8.31033i | 0.443931 | + | 0.267104i | ||||
\(969\) | 1.22691 | − | 4.41892i | 0.0394140 | − | 0.141956i | ||||
\(970\) | −12.5833 | − | 76.7545i | −0.404024 | − | 2.46444i | ||||
\(971\) | −1.23557 | − | 0.743421i | −0.0396515 | − | 0.0238575i | 0.495590 | − | 0.868557i | \(-0.334952\pi\) |
−0.535242 | + | 0.844699i | \(0.679779\pi\) | |||||||
\(972\) | 5.46985 | + | 3.29110i | 0.175446 | + | 0.105562i | ||||
\(973\) | −43.3558 | + | 9.54333i | −1.38992 | + | 0.305945i | ||||
\(974\) | −46.0665 | − | 5.01003i | −1.47607 | − | 0.160532i | ||||
\(975\) | −9.46893 | + | 17.8603i | −0.303248 | + | 0.571987i | ||||
\(976\) | 4.67846 | + | 8.82452i | 0.149754 | + | 0.282466i | ||||
\(977\) | 27.9546 | + | 26.4800i | 0.894348 | + | 0.847171i | 0.988936 | − | 0.148345i | \(-0.0473947\pi\) |
−0.0945880 | + | 0.995517i | \(0.530153\pi\) | |||||||
\(978\) | −0.934239 | − | 0.432225i | −0.0298737 | − | 0.0138210i | ||||
\(979\) | 0.307366 | − | 1.87485i | 0.00982345 | − | 0.0599204i | ||||
\(980\) | −21.4908 | + | 25.3009i | −0.686499 | + | 0.808209i | ||||
\(981\) | 1.77886 | − | 32.8091i | 0.0567946 | − | 1.04751i | ||||
\(982\) | 20.7959 | + | 19.6989i | 0.663623 | + | 0.628617i | ||||
\(983\) | −14.7169 | + | 21.7057i | −0.469395 | + | 0.692305i | −0.986527 | − | 0.163600i | \(-0.947689\pi\) |
0.517132 | + | 0.855906i | \(0.327000\pi\) | |||||||
\(984\) | 3.24184 | + | 6.11476i | 0.103346 | + | 0.194931i | ||||
\(985\) | −27.2223 | − | 68.3229i | −0.867376 | − | 2.17695i | ||||
\(986\) | 1.17977 | − | 7.19629i | 0.0375716 | − | 0.229176i | ||||
\(987\) | −7.84716 | − | 11.5737i | −0.249778 | − | 0.368395i | ||||
\(988\) | 6.80880 | − | 12.8428i | 0.216617 | − | 0.408583i | ||||
\(989\) | 34.7115 | − | 11.6957i | 1.10376 | − | 0.371901i | ||||
\(990\) | −47.7965 | + | 10.5208i | −1.51907 | + | 0.334373i | ||||
\(991\) | −6.71823 | − | 16.8615i | −0.213412 | − | 0.535623i | 0.782830 | − | 0.622235i | \(-0.213775\pi\) |
−0.996242 | + | 0.0866122i | \(0.972396\pi\) | |||||||
\(992\) | 22.9653 | + | 13.8178i | 0.729148 | + | 0.438714i | ||||
\(993\) | −2.18715 | − | 7.87739i | −0.0694070 | − | 0.249981i | ||||
\(994\) | 30.3399 | − | 18.2549i | 0.962322 | − | 0.579010i | ||||
\(995\) | 20.1924 | + | 50.6792i | 0.640143 | + | 1.60664i | ||||
\(996\) | 2.07241 | + | 3.05657i | 0.0656667 | + | 0.0968511i | ||||
\(997\) | −55.9508 | + | 6.08502i | −1.77198 | + | 0.192715i | −0.935031 | − | 0.354565i | \(-0.884629\pi\) |
−0.836950 | + | 0.547280i | \(0.815663\pi\) | |||||||
\(998\) | 28.8842 | + | 6.35790i | 0.914314 | + | 0.201256i | ||||
\(999\) | 0.230214 | + | 1.40424i | 0.00728365 | + | 0.0444283i |
(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 | 349.2.g.a.31.9 | ✓ | 756 | |
349.304 | even | 29 | inner | 349.2.g.a.304.9 | yes | 756 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
349.2.g.a.31.9 | ✓ | 756 | 1.1 | even | 1 | trivial | |
349.2.g.a.304.9 | yes | 756 | 349.304 | even | 29 | inner |