Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [230,3,Mod(19,230)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(230, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 15]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("230.19");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 230 = 2 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 230.i (of order \(22\), degree \(10\), 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: | \(6.26704608029\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 109.10 | ||
Character | \(\chi\) | \(=\) | 230.109 |
Dual form | 230.3.i.a.19.10 |
$q$-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 \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(51\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{7}{22}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.28641 | − | 0.587486i | −0.643207 | − | 0.293743i | ||||
\(3\) | 0.725559 | − | 2.47103i | 0.241853 | − | 0.823676i | −0.745686 | − | 0.666298i | \(-0.767878\pi\) |
0.987539 | − | 0.157378i | \(-0.0503040\pi\) | |||||||
\(4\) | 1.30972 | + | 1.51150i | 0.327430 | + | 0.377875i | ||||
\(5\) | −2.80253 | + | 4.14075i | −0.560507 | + | 0.828150i | ||||
\(6\) | −2.38506 | + | 2.75251i | −0.397510 | + | 0.458751i | ||||
\(7\) | 0.102488 | − | 0.712820i | 0.0146412 | − | 0.101831i | −0.981190 | − | 0.193042i | \(-0.938165\pi\) |
0.995832 | + | 0.0912107i | \(0.0290737\pi\) | |||||||
\(8\) | −0.796860 | − | 2.71386i | −0.0996075 | − | 0.339232i | ||||
\(9\) | 1.99174 | + | 1.28002i | 0.221305 | + | 0.142224i | ||||
\(10\) | 6.03785 | − | 3.68027i | 0.603785 | − | 0.368027i | ||||
\(11\) | 10.3444 | − | 4.72412i | 0.940397 | − | 0.429465i | 0.114587 | − | 0.993413i | \(-0.463445\pi\) |
0.825810 | + | 0.563948i | \(0.190718\pi\) | |||||||
\(12\) | 4.68524 | − | 2.13968i | 0.390436 | − | 0.178306i | ||||
\(13\) | 4.37372 | − | 0.628847i | 0.336440 | − | 0.0483728i | 0.0279756 | − | 0.999609i | \(-0.491094\pi\) |
0.308465 | + | 0.951236i | \(0.400185\pi\) | |||||||
\(14\) | −0.550614 | + | 0.856771i | −0.0393295 | + | 0.0611980i | ||||
\(15\) | 8.19850 | + | 9.92949i | 0.546567 | + | 0.661966i | ||||
\(16\) | −0.569259 | + | 3.95929i | −0.0355787 | + | 0.247455i | ||||
\(17\) | 21.2072 | − | 24.4744i | 1.24748 | − | 1.43967i | 0.393533 | − | 0.919310i | \(-0.371253\pi\) |
0.853948 | − | 0.520359i | \(-0.174202\pi\) | |||||||
\(18\) | −1.81022 | − | 2.81675i | −0.100568 | − | 0.156486i | ||||
\(19\) | −3.60054 | + | 3.11988i | −0.189502 | + | 0.164204i | −0.744445 | − | 0.667684i | \(-0.767286\pi\) |
0.554943 | + | 0.831889i | \(0.312740\pi\) | |||||||
\(20\) | −9.92928 | + | 1.18720i | −0.496464 | + | 0.0593602i | ||||
\(21\) | −1.68704 | − | 0.770444i | −0.0803351 | − | 0.0366878i | ||||
\(22\) | −16.0825 | −0.731022 | ||||||||
\(23\) | −0.814663 | + | 22.9856i | −0.0354201 | + | 0.999373i | ||||
\(24\) | −7.28418 | −0.303507 | ||||||||
\(25\) | −9.29162 | − | 23.2092i | −0.371665 | − | 0.928367i | ||||
\(26\) | −5.99586 | − | 1.76054i | −0.230610 | − | 0.0677132i | ||||
\(27\) | 22.1249 | − | 19.1714i | 0.819442 | − | 0.710051i | ||||
\(28\) | 1.21166 | − | 0.778685i | 0.0432735 | − | 0.0278102i | ||||
\(29\) | 24.5625 | − | 28.3467i | 0.846983 | − | 0.977471i | −0.152959 | − | 0.988233i | \(-0.548880\pi\) |
0.999942 | + | 0.0107619i | \(0.00342567\pi\) | |||||||
\(30\) | −4.71323 | − | 17.5899i | −0.157108 | − | 0.586331i | ||||
\(31\) | −32.2132 | + | 9.45864i | −1.03913 | + | 0.305117i | −0.756419 | − | 0.654087i | \(-0.773053\pi\) |
−0.282715 | + | 0.959204i | \(0.591235\pi\) | |||||||
\(32\) | 3.05833 | − | 4.75885i | 0.0955727 | − | 0.148714i | ||||
\(33\) | −4.16797 | − | 28.9888i | −0.126302 | − | 0.878450i | ||||
\(34\) | −41.6595 | + | 19.0253i | −1.22528 | + | 0.559567i | ||||
\(35\) | 2.66438 | + | 2.42208i | 0.0761252 | + | 0.0692023i | ||||
\(36\) | 0.673887 | + | 4.68698i | 0.0187191 | + | 0.130194i | ||||
\(37\) | −19.5470 | − | 12.5621i | −0.528297 | − | 0.339516i | 0.249150 | − | 0.968465i | \(-0.419849\pi\) |
−0.777446 | + | 0.628949i | \(0.783485\pi\) | |||||||
\(38\) | 6.46467 | − | 1.89820i | 0.170123 | − | 0.0499526i | ||||
\(39\) | 1.61950 | − | 11.2639i | 0.0415256 | − | 0.288817i | ||||
\(40\) | 13.4706 | + | 4.30607i | 0.336766 | + | 0.107652i | ||||
\(41\) | 51.2789 | − | 32.9549i | 1.25070 | − | 0.803779i | 0.263721 | − | 0.964599i | \(-0.415050\pi\) |
0.986984 | + | 0.160820i | \(0.0514138\pi\) | |||||||
\(42\) | 1.71760 | + | 1.98222i | 0.0408953 | + | 0.0471957i | ||||
\(43\) | 57.0767 | + | 16.7592i | 1.32736 | + | 0.389749i | 0.867145 | − | 0.498056i | \(-0.165953\pi\) |
0.460220 | + | 0.887805i | \(0.347771\pi\) | |||||||
\(44\) | 20.6887 | + | 9.44823i | 0.470199 | + | 0.214733i | ||||
\(45\) | −10.8822 | + | 4.66003i | −0.241826 | + | 0.103556i | ||||
\(46\) | 14.5517 | − | 29.0904i | 0.316341 | − | 0.632399i | ||||
\(47\) | − | 11.8605i | − | 0.252352i | −0.992008 | − | 0.126176i | \(-0.959730\pi\) | ||
0.992008 | − | 0.126176i | \(-0.0402704\pi\) | |||||||
\(48\) | 9.37047 | + | 4.27935i | 0.195218 | + | 0.0891531i | ||||
\(49\) | 46.5175 | + | 13.6588i | 0.949338 | + | 0.278751i | ||||
\(50\) | −1.68218 | + | 35.3153i | −0.0336437 | + | 0.706306i | ||||
\(51\) | −45.0898 | − | 70.1611i | −0.884114 | − | 1.37571i | ||||
\(52\) | 6.67886 | + | 5.78727i | 0.128440 | + | 0.111294i | ||||
\(53\) | −9.85079 | + | 68.5137i | −0.185864 | + | 1.29271i | 0.656715 | + | 0.754139i | \(0.271945\pi\) |
−0.842579 | + | 0.538573i | \(0.818964\pi\) | |||||||
\(54\) | −39.7247 | + | 11.6642i | −0.735643 | + | 0.216004i | ||||
\(55\) | −9.42905 | + | 56.0729i | −0.171437 | + | 1.01951i | ||||
\(56\) | −2.01616 | + | 0.289880i | −0.0360029 | + | 0.00517643i | ||||
\(57\) | 5.09691 | + | 11.1607i | 0.0894195 | + | 0.195801i | ||||
\(58\) | −48.2508 | + | 22.0354i | −0.831910 | + | 0.379921i | ||||
\(59\) | 2.06686 | + | 14.3753i | 0.0350315 | + | 0.243650i | 0.999812 | − | 0.0194079i | \(-0.00617813\pi\) |
−0.964780 | + | 0.263058i | \(0.915269\pi\) | |||||||
\(60\) | −4.27066 | + | 25.3969i | −0.0711777 | + | 0.423282i | ||||
\(61\) | −17.8602 | − | 60.8264i | −0.292791 | − | 0.997154i | −0.966181 | − | 0.257867i | \(-0.916980\pi\) |
0.673390 | − | 0.739288i | \(-0.264838\pi\) | |||||||
\(62\) | 46.9963 | + | 6.75704i | 0.758004 | + | 0.108985i | ||||
\(63\) | 1.11655 | − | 1.28857i | 0.0177230 | − | 0.0204535i | ||||
\(64\) | −6.73003 | + | 4.32513i | −0.105157 | + | 0.0675801i | ||||
\(65\) | −9.65361 | + | 19.8729i | −0.148517 | + | 0.305736i | ||||
\(66\) | −11.6688 | + | 39.7403i | −0.176800 | + | 0.602125i | ||||
\(67\) | −41.1267 | + | 90.0550i | −0.613832 | + | 1.34410i | 0.306090 | + | 0.952003i | \(0.400979\pi\) |
−0.919922 | + | 0.392102i | \(0.871748\pi\) | |||||||
\(68\) | 64.7685 | 0.952478 | ||||||||
\(69\) | 56.2069 | + | 18.6904i | 0.814592 | + | 0.270876i | ||||
\(70\) | −2.00456 | − | 4.68108i | −0.0286366 | − | 0.0668726i | ||||
\(71\) | 12.0501 | − | 26.3860i | 0.169720 | − | 0.371634i | −0.805591 | − | 0.592472i | \(-0.798152\pi\) |
0.975311 | + | 0.220838i | \(0.0708792\pi\) | |||||||
\(72\) | 1.88664 | − | 6.42530i | 0.0262033 | − | 0.0892403i | ||||
\(73\) | −54.0446 | + | 46.8299i | −0.740337 | + | 0.641506i | −0.941098 | − | 0.338135i | \(-0.890204\pi\) |
0.200761 | + | 0.979640i | \(0.435659\pi\) | |||||||
\(74\) | 17.7655 | + | 27.6436i | 0.240074 | + | 0.373562i | ||||
\(75\) | −64.0921 | + | 6.12022i | −0.854561 | + | 0.0816030i | ||||
\(76\) | −9.43140 | − | 1.35603i | −0.124097 | − | 0.0178425i | ||||
\(77\) | −2.30727 | − | 7.85784i | −0.0299646 | − | 0.102050i | ||||
\(78\) | −8.70070 | + | 13.5385i | −0.111547 | + | 0.173571i | ||||
\(79\) | −106.477 | + | 15.3091i | −1.34781 | + | 0.193786i | −0.778142 | − | 0.628088i | \(-0.783838\pi\) |
−0.569669 | + | 0.821874i | \(0.692929\pi\) | |||||||
\(80\) | −14.7990 | − | 13.4532i | −0.184988 | − | 0.168165i | ||||
\(81\) | −22.4682 | − | 49.1985i | −0.277385 | − | 0.607389i | ||||
\(82\) | −85.3265 | + | 12.2681i | −1.04057 | + | 0.149611i | ||||
\(83\) | 13.3395 | + | 8.57279i | 0.160717 | + | 0.103287i | 0.618527 | − | 0.785763i | \(-0.287730\pi\) |
−0.457810 | + | 0.889050i | \(0.651366\pi\) | |||||||
\(84\) | −1.04502 | − | 3.55902i | −0.0124407 | − | 0.0423693i | ||||
\(85\) | 41.9085 | + | 156.404i | 0.493041 | + | 1.84005i | ||||
\(86\) | −63.5784 | − | 55.0910i | −0.739284 | − | 0.640593i | ||||
\(87\) | −52.2238 | − | 81.2618i | −0.600273 | − | 0.934044i | ||||
\(88\) | −21.0636 | − | 24.3087i | −0.239359 | − | 0.276235i | ||||
\(89\) | −14.4618 | + | 49.2524i | −0.162492 | + | 0.553397i | 0.837484 | + | 0.546462i | \(0.184026\pi\) |
−0.999976 | + | 0.00693516i | \(0.997792\pi\) | |||||||
\(90\) | 16.7367 | + | 0.398385i | 0.185963 | + | 0.00442650i | ||||
\(91\) | − | 3.18213i | − | 0.0349684i | ||||||
\(92\) | −35.8096 | + | 28.8733i | −0.389235 | + | 0.313841i | ||||
\(93\) | 86.4624i | 0.929703i | ||||||||
\(94\) | −6.96789 | + | 15.2576i | −0.0741265 | + | 0.162314i | ||||
\(95\) | −2.82803 | − | 23.6525i | −0.0297688 | − | 0.248974i | ||||
\(96\) | −9.54025 | − | 11.0100i | −0.0993776 | − | 0.114688i | ||||
\(97\) | 16.1241 | − | 10.3624i | 0.166228 | − | 0.106828i | −0.454882 | − | 0.890552i | \(-0.650318\pi\) |
0.621110 | + | 0.783723i | \(0.286682\pi\) | |||||||
\(98\) | −51.8165 | − | 44.8992i | −0.528740 | − | 0.458155i | ||||
\(99\) | 26.6503 | + | 3.83173i | 0.269195 | + | 0.0387044i | ||||
\(100\) | 22.9112 | − | 44.4418i | 0.229112 | − | 0.444418i | ||||
\(101\) | −104.679 | − | 67.2729i | −1.03642 | − | 0.666068i | −0.0923231 | − | 0.995729i | \(-0.529429\pi\) |
−0.944099 | + | 0.329661i | \(0.893066\pi\) | |||||||
\(102\) | 16.7855 | + | 116.746i | 0.164564 | + | 1.14457i | ||||
\(103\) | 44.7873 | + | 98.0704i | 0.434828 | + | 0.952140i | 0.992519 | + | 0.122091i | \(0.0389601\pi\) |
−0.557691 | + | 0.830049i | \(0.688313\pi\) | |||||||
\(104\) | −5.19185 | − | 11.3686i | −0.0499216 | − | 0.109313i | ||||
\(105\) | 7.91819 | − | 4.82640i | 0.0754113 | − | 0.0459657i | ||||
\(106\) | 52.9230 | − | 82.3498i | 0.499274 | − | 0.776885i | ||||
\(107\) | 62.5016 | − | 18.3521i | 0.584127 | − | 0.171515i | 0.0237001 | − | 0.999719i | \(-0.492455\pi\) |
0.560427 | + | 0.828204i | \(0.310637\pi\) | |||||||
\(108\) | 57.9550 | + | 8.33267i | 0.536620 | + | 0.0771544i | ||||
\(109\) | 136.819 | + | 118.554i | 1.25522 | + | 1.08765i | 0.992432 | + | 0.122797i | \(0.0391863\pi\) |
0.262785 | + | 0.964855i | \(0.415359\pi\) | |||||||
\(110\) | 45.0717 | − | 66.5936i | 0.409743 | − | 0.605396i | ||||
\(111\) | −45.2237 | + | 39.1866i | −0.407421 | + | 0.353032i | ||||
\(112\) | 2.76392 | + | 0.811559i | 0.0246778 | + | 0.00724606i | ||||
\(113\) | 66.6748 | − | 145.997i | 0.590043 | − | 1.29201i | −0.345374 | − | 0.938465i | \(-0.612248\pi\) |
0.935416 | − | 0.353548i | \(-0.115025\pi\) | |||||||
\(114\) | − | 17.3516i | − | 0.152207i | ||||||
\(115\) | −92.8944 | − | 67.7911i | −0.807777 | − | 0.589488i | ||||
\(116\) | 75.0160 | 0.646690 | ||||||||
\(117\) | 9.51627 | + | 4.34594i | 0.0813357 | + | 0.0371448i | ||||
\(118\) | 5.78646 | − | 19.7069i | 0.0490378 | − | 0.167007i | ||||
\(119\) | −15.2723 | − | 17.6252i | −0.128339 | − | 0.148111i | ||||
\(120\) | 20.4142 | − | 30.1620i | 0.170118 | − | 0.251350i | ||||
\(121\) | 5.45060 | − | 6.29033i | 0.0450463 | − | 0.0519862i | ||||
\(122\) | −12.7590 | + | 88.7406i | −0.104582 | + | 0.727382i | ||||
\(123\) | −44.2267 | − | 150.622i | −0.359567 | − | 1.22457i | ||||
\(124\) | −56.4870 | − | 36.3020i | −0.455540 | − | 0.292758i | ||||
\(125\) | 122.143 | + | 26.5702i | 0.977148 | + | 0.212561i | ||||
\(126\) | −2.19336 | + | 1.00168i | −0.0174076 | + | 0.00794980i | ||||
\(127\) | −30.1479 | + | 13.7681i | −0.237385 | + | 0.108410i | −0.530556 | − | 0.847650i | \(-0.678017\pi\) |
0.293171 | + | 0.956060i | \(0.405290\pi\) | |||||||
\(128\) | 11.1986 | − | 1.61011i | 0.0874887 | − | 0.0125790i | ||||
\(129\) | 82.8250 | − | 128.878i | 0.642054 | − | 0.999056i | ||||
\(130\) | 24.0936 | − | 19.8934i | 0.185335 | − | 0.153026i | ||||
\(131\) | −16.9484 | + | 117.879i | −0.129377 | + | 0.899839i | 0.816968 | + | 0.576682i | \(0.195653\pi\) |
−0.946346 | + | 0.323156i | \(0.895256\pi\) | |||||||
\(132\) | 38.3577 | − | 44.2672i | 0.290589 | − | 0.335358i | ||||
\(133\) | 1.85490 | + | 2.88629i | 0.0139466 | + | 0.0217014i | ||||
\(134\) | 105.812 | − | 91.6867i | 0.789642 | − | 0.684229i | ||||
\(135\) | 17.3780 | + | 145.342i | 0.128726 | + | 1.07661i | ||||
\(136\) | −83.3191 | − | 38.0506i | −0.612640 | − | 0.279783i | ||||
\(137\) | −57.5629 | −0.420167 | −0.210084 | − | 0.977683i | \(-0.567374\pi\) | ||||
−0.210084 | + | 0.977683i | \(0.567374\pi\) | |||||||
\(138\) | −61.3249 | − | 57.0644i | −0.444384 | − | 0.413510i | ||||
\(139\) | 7.72508 | 0.0555761 | 0.0277880 | − | 0.999614i | \(-0.491154\pi\) | ||||
0.0277880 | + | 0.999614i | \(0.491154\pi\) | |||||||
\(140\) | −0.171370 | + | 7.19946i | −0.00122407 | + | 0.0514247i | ||||
\(141\) | −29.3077 | − | 8.60552i | −0.207856 | − | 0.0610320i | ||||
\(142\) | −31.0028 | + | 26.8641i | −0.218330 | + | 0.189184i | ||||
\(143\) | 42.2727 | − | 27.1670i | 0.295613 | − | 0.189979i | ||||
\(144\) | −6.20177 | + | 7.15722i | −0.0430678 | + | 0.0497029i | ||||
\(145\) | 48.5392 | + | 181.150i | 0.334753 | + | 1.24931i | ||||
\(146\) | 97.0356 | − | 28.4922i | 0.664628 | − | 0.195152i | ||||
\(147\) | 67.5024 | − | 105.036i | 0.459200 | − | 0.714530i | ||||
\(148\) | −6.61352 | − | 45.9981i | −0.0446860 | − | 0.310798i | ||||
\(149\) | −101.155 | + | 46.1961i | −0.678895 | + | 0.310041i | −0.724854 | − | 0.688902i | \(-0.758093\pi\) |
0.0459591 | + | 0.998943i | \(0.485366\pi\) | |||||||
\(150\) | 86.0445 | + | 29.7800i | 0.573630 | + | 0.198534i | ||||
\(151\) | −27.6519 | − | 192.323i | −0.183125 | − | 1.27366i | −0.849317 | − | 0.527884i | \(-0.822986\pi\) |
0.666191 | − | 0.745781i | \(-0.267923\pi\) | |||||||
\(152\) | 11.3360 | + | 7.28523i | 0.0745792 | + | 0.0479291i | ||||
\(153\) | 73.5669 | − | 21.6012i | 0.480829 | − | 0.141184i | ||||
\(154\) | −1.64826 | + | 11.4639i | −0.0107030 | + | 0.0744411i | ||||
\(155\) | 51.1126 | − | 159.895i | 0.329759 | − | 1.03158i | ||||
\(156\) | 19.1464 | − | 12.3046i | 0.122733 | − | 0.0788759i | ||||
\(157\) | −77.6685 | − | 89.6343i | −0.494704 | − | 0.570919i | 0.452412 | − | 0.891809i | \(-0.350564\pi\) |
−0.947117 | + | 0.320890i | \(0.896018\pi\) | |||||||
\(158\) | 145.968 | + | 42.8599i | 0.923845 | + | 0.271265i | ||||
\(159\) | 162.152 | + | 74.0523i | 1.01982 | + | 0.465738i | ||||
\(160\) | 11.1341 | + | 26.0006i | 0.0695884 | + | 0.162504i | ||||
\(161\) | 16.3011 | + | 2.93645i | 0.101249 | + | 0.0182388i | ||||
\(162\) | 76.4894i | 0.472157i | ||||||||
\(163\) | −291.498 | − | 133.123i | −1.78833 | − | 0.816703i | −0.970445 | − | 0.241323i | \(-0.922419\pi\) |
−0.817886 | − | 0.575381i | \(-0.804854\pi\) | |||||||
\(164\) | 116.972 | + | 34.3462i | 0.713247 | + | 0.209428i | ||||
\(165\) | 131.716 | + | 63.9837i | 0.798281 | + | 0.387780i | ||||
\(166\) | −12.1238 | − | 18.8649i | −0.0730347 | − | 0.113644i | ||||
\(167\) | −148.473 | − | 128.653i | −0.889062 | − | 0.770376i | 0.0850659 | − | 0.996375i | \(-0.472890\pi\) |
−0.974128 | + | 0.225999i | \(0.927435\pi\) | |||||||
\(168\) | −0.746541 | + | 5.19231i | −0.00444370 | + | 0.0309066i | ||||
\(169\) | −143.420 | + | 42.1120i | −0.848641 | + | 0.249183i | ||||
\(170\) | 37.9733 | − | 225.821i | 0.223372 | − | 1.32836i | ||||
\(171\) | −11.1648 | + | 1.60526i | −0.0652915 | + | 0.00938750i | ||||
\(172\) | 49.4230 | + | 108.221i | 0.287343 | + | 0.629193i | ||||
\(173\) | 79.3044 | − | 36.2171i | 0.458407 | − | 0.209347i | −0.172808 | − | 0.984956i | \(-0.555284\pi\) |
0.631215 | + | 0.775608i | \(0.282557\pi\) | |||||||
\(174\) | 19.4413 | + | 135.217i | 0.111731 | + | 0.777109i | ||||
\(175\) | −17.4962 | + | 4.24459i | −0.0999785 | + | 0.0242548i | ||||
\(176\) | 12.8155 | + | 43.6456i | 0.0728153 | + | 0.247986i | ||||
\(177\) | 37.0215 | + | 5.32288i | 0.209161 | + | 0.0300728i | ||||
\(178\) | 47.5389 | − | 54.8628i | 0.267072 | − | 0.308218i | ||||
\(179\) | −249.174 | + | 160.134i | −1.39203 | + | 0.894604i | −0.999682 | − | 0.0252119i | \(-0.991974\pi\) |
−0.392349 | + | 0.919816i | \(0.628338\pi\) | |||||||
\(180\) | −21.2962 | − | 10.3450i | −0.118312 | − | 0.0574724i | ||||
\(181\) | 19.1427 | − | 65.1940i | 0.105761 | − | 0.360188i | −0.889560 | − | 0.456819i | \(-0.848989\pi\) |
0.995320 | + | 0.0966313i | \(0.0308068\pi\) | |||||||
\(182\) | −1.86945 | + | 4.09353i | −0.0102717 | + | 0.0224919i | ||||
\(183\) | −163.262 | −0.892144 | ||||||||
\(184\) | 63.0287 | − | 16.1054i | 0.342547 | − | 0.0875294i | ||||
\(185\) | 106.797 | − | 45.7335i | 0.577284 | − | 0.247208i | ||||
\(186\) | 50.7954 | − | 111.226i | 0.273094 | − | 0.597991i | ||||
\(187\) | 103.755 | − | 353.357i | 0.554840 | − | 1.88961i | ||||
\(188\) | 17.9272 | − | 15.5340i | 0.0953574 | − | 0.0826276i | ||||
\(189\) | −11.3982 | − | 17.7359i | −0.0603079 | − | 0.0938409i | ||||
\(190\) | −10.2575 | + | 32.0883i | −0.0539867 | + | 0.168886i | ||||
\(191\) | −101.525 | − | 14.5970i | −0.531542 | − | 0.0764243i | −0.128682 | − | 0.991686i | \(-0.541075\pi\) |
−0.402860 | + | 0.915262i | \(0.631984\pi\) | |||||||
\(192\) | 5.80447 | + | 19.7682i | 0.0302316 | + | 0.102959i | ||||
\(193\) | −92.2602 | + | 143.560i | −0.478032 | + | 0.743832i | −0.993593 | − | 0.113021i | \(-0.963947\pi\) |
0.515561 | + | 0.856853i | \(0.327584\pi\) | |||||||
\(194\) | −26.8301 | + | 3.85758i | −0.138299 | + | 0.0198844i | ||||
\(195\) | 42.1021 | + | 38.2733i | 0.215908 | + | 0.196273i | ||||
\(196\) | 40.2798 | + | 88.2004i | 0.205509 | + | 0.450002i | ||||
\(197\) | 76.0048 | − | 10.9278i | 0.385811 | − | 0.0554712i | 0.0533195 | − | 0.998578i | \(-0.483020\pi\) |
0.332491 | + | 0.943106i | \(0.392111\pi\) | |||||||
\(198\) | −32.0322 | − | 20.5858i | −0.161779 | − | 0.103969i | ||||
\(199\) | −64.2222 | − | 218.721i | −0.322724 | − | 1.09910i | −0.947888 | − | 0.318605i | \(-0.896786\pi\) |
0.625163 | − | 0.780494i | \(-0.285032\pi\) | |||||||
\(200\) | −55.5822 | + | 43.7106i | −0.277911 | + | 0.218553i | ||||
\(201\) | 192.688 | + | 166.966i | 0.958649 | + | 0.830674i | ||||
\(202\) | 95.1383 | + | 148.038i | 0.470981 | + | 0.732861i | ||||
\(203\) | −17.6887 | − | 20.4138i | −0.0871364 | − | 0.100561i | ||||
\(204\) | 46.9934 | − | 160.045i | 0.230360 | − | 0.784533i | ||||
\(205\) | −7.25259 | + | 304.690i | −0.0353785 | + | 1.48629i | ||||
\(206\) | − | 152.471i | − | 0.740151i | ||||||
\(207\) | −31.0445 | + | 44.7386i | −0.149973 | + | 0.216128i | ||||
\(208\) | 17.6748i | 0.0849750i | ||||||||
\(209\) | −22.5066 | + | 49.2826i | −0.107687 | + | 0.235802i | ||||
\(210\) | −13.0215 | + | 1.55693i | −0.0620072 | + | 0.00741395i | ||||
\(211\) | 25.7910 | + | 29.7645i | 0.122232 | + | 0.141064i | 0.813567 | − | 0.581471i | \(-0.197523\pi\) |
−0.691335 | + | 0.722534i | \(0.742977\pi\) | |||||||
\(212\) | −116.460 | + | 74.8445i | −0.549341 | + | 0.353040i | ||||
\(213\) | −56.4576 | − | 48.9208i | −0.265059 | − | 0.229675i | ||||
\(214\) | −91.1845 | − | 13.1104i | −0.426096 | − | 0.0612633i | ||||
\(215\) | −229.355 | + | 189.372i | −1.06677 | + | 0.880800i | ||||
\(216\) | −69.6588 | − | 44.7670i | −0.322494 | − | 0.207255i | ||||
\(217\) | 3.44084 | + | 23.9316i | 0.0158564 | + | 0.110284i | ||||
\(218\) | −106.357 | − | 232.888i | −0.487874 | − | 1.06830i | ||||
\(219\) | 76.5054 | + | 167.524i | 0.349340 | + | 0.764948i | ||||
\(220\) | −97.1036 | + | 59.1879i | −0.441380 | + | 0.269036i | ||||
\(221\) | 77.3637 | − | 120.380i | 0.350062 | − | 0.544707i | ||||
\(222\) | 81.1980 | − | 23.8419i | 0.365757 | − | 0.107396i | ||||
\(223\) | −75.8735 | − | 10.9090i | −0.340240 | − | 0.0489191i | −0.0299229 | − | 0.999552i | \(-0.509526\pi\) |
−0.310317 | + | 0.950633i | \(0.600435\pi\) | |||||||
\(224\) | −3.07876 | − | 2.66776i | −0.0137445 | − | 0.0119096i | ||||
\(225\) | 11.2016 | − | 58.1202i | 0.0497848 | − | 0.258312i | ||||
\(226\) | −171.543 | + | 148.643i | −0.759039 | + | 0.657711i | ||||
\(227\) | 208.782 | + | 61.3038i | 0.919743 | + | 0.270061i | 0.707137 | − | 0.707077i | \(-0.249987\pi\) |
0.212606 | + | 0.977138i | \(0.431805\pi\) | |||||||
\(228\) | −10.1938 | + | 22.3214i | −0.0447098 | + | 0.0979007i | ||||
\(229\) | 51.8837i | 0.226567i | 0.993563 | + | 0.113283i | \(0.0361368\pi\) | ||||
−0.993563 | + | 0.113283i | \(0.963863\pi\) | |||||||
\(230\) | 79.6743 | + | 141.782i | 0.346410 | + | 0.616441i | ||||
\(231\) | −21.0910 | −0.0913030 | ||||||||
\(232\) | −96.5016 | − | 44.0708i | −0.415955 | − | 0.189960i | ||||
\(233\) | 45.5271 | − | 155.051i | 0.195395 | − | 0.665456i | −0.802257 | − | 0.596978i | \(-0.796368\pi\) |
0.997653 | − | 0.0684772i | \(-0.0218140\pi\) | |||||||
\(234\) | −9.68869 | − | 11.1813i | −0.0414047 | − | 0.0477835i | ||||
\(235\) | 49.1115 | + | 33.2395i | 0.208985 | + | 0.141445i | ||||
\(236\) | −19.0213 | + | 21.9517i | −0.0805987 | + | 0.0930159i | ||||
\(237\) | −39.4262 | + | 274.215i | −0.166355 | + | 1.15703i | ||||
\(238\) | 9.29199 | + | 31.6456i | 0.0390420 | + | 0.132965i | ||||
\(239\) | −199.610 | − | 128.282i | −0.835190 | − | 0.536744i | 0.0517331 | − | 0.998661i | \(-0.483525\pi\) |
−0.886923 | + | 0.461917i | \(0.847162\pi\) | |||||||
\(240\) | −43.9808 | + | 26.8078i | −0.183253 | + | 0.111699i | ||||
\(241\) | −45.7148 | + | 20.8772i | −0.189688 | + | 0.0866275i | −0.507995 | − | 0.861360i | \(-0.669613\pi\) |
0.318307 | + | 0.947988i | \(0.396886\pi\) | |||||||
\(242\) | −10.7072 | + | 4.88982i | −0.0442447 | + | 0.0202059i | ||||
\(243\) | 122.925 | − | 17.6739i | 0.505863 | − | 0.0727320i | ||||
\(244\) | 68.5471 | − | 106.661i | 0.280931 | − | 0.437137i | ||||
\(245\) | −186.925 | + | 154.338i | −0.762957 | + | 0.629952i | ||||
\(246\) | −31.5946 | + | 219.745i | −0.128433 | + | 0.893273i | ||||
\(247\) | −13.7858 | + | 15.9097i | −0.0558131 | + | 0.0644117i | ||||
\(248\) | 51.3387 | + | 79.8847i | 0.207011 | + | 0.322116i | ||||
\(249\) | 30.8622 | − | 26.7423i | 0.123945 | − | 0.107399i | ||||
\(250\) | −141.517 | − | 105.938i | −0.566070 | − | 0.423751i | ||||
\(251\) | 340.587 | + | 155.541i | 1.35692 | + | 0.619685i | 0.955168 | − | 0.296064i | \(-0.0956740\pi\) |
0.401752 | + | 0.915748i | \(0.368401\pi\) | |||||||
\(252\) | 3.41004 | 0.0135319 | ||||||||
\(253\) | 100.159 | + | 241.620i | 0.395887 | + | 0.955019i | ||||
\(254\) | 46.8713 | 0.184533 | ||||||||
\(255\) | 416.885 | + | 9.92317i | 1.63484 | + | 0.0389144i | ||||
\(256\) | −15.3519 | − | 4.50772i | −0.0599683 | − | 0.0176083i | ||||
\(257\) | 106.843 | − | 92.5796i | 0.415730 | − | 0.360232i | −0.421739 | − | 0.906717i | \(-0.638580\pi\) |
0.837469 | + | 0.546485i | \(0.184035\pi\) | |||||||
\(258\) | −182.261 | + | 117.132i | −0.706439 | + | 0.454001i | ||||
\(259\) | −10.9578 | + | 12.6460i | −0.0423082 | + | 0.0488263i | ||||
\(260\) | −42.6814 | + | 11.4365i | −0.164159 | + | 0.0439865i | ||||
\(261\) | 85.2064 | − | 25.0189i | 0.326461 | − | 0.0958577i | ||||
\(262\) | 91.0548 | − | 141.684i | 0.347537 | − | 0.540779i | ||||
\(263\) | 32.8257 | + | 228.308i | 0.124813 | + | 0.868091i | 0.951985 | + | 0.306144i | \(0.0990388\pi\) |
−0.827173 | + | 0.561948i | \(0.810052\pi\) | |||||||
\(264\) | −75.3503 | + | 34.4113i | −0.285418 | + | 0.130346i | ||||
\(265\) | −256.091 | − | 232.802i | −0.966381 | − | 0.878497i | ||||
\(266\) | −0.690522 | − | 4.80269i | −0.00259595 | − | 0.0180552i | ||||
\(267\) | 111.211 | + | 71.4710i | 0.416521 | + | 0.267682i | ||||
\(268\) | −189.983 | + | 55.7839i | −0.708891 | + | 0.208149i | ||||
\(269\) | −30.6993 | + | 213.519i | −0.114124 | + | 0.793750i | 0.849711 | + | 0.527249i | \(0.176777\pi\) |
−0.963835 | + | 0.266501i | \(0.914133\pi\) | |||||||
\(270\) | 63.0312 | − | 197.180i | 0.233449 | − | 0.730295i | ||||
\(271\) | −153.740 | + | 98.8024i | −0.567305 | + | 0.364585i | −0.792634 | − | 0.609698i | \(-0.791291\pi\) |
0.225329 | + | 0.974283i | \(0.427654\pi\) | |||||||
\(272\) | 84.8287 | + | 97.8975i | 0.311870 | + | 0.359917i | ||||
\(273\) | −7.86312 | − | 2.30882i | −0.0288026 | − | 0.00845722i | ||||
\(274\) | 74.0497 | + | 33.8174i | 0.270255 | + | 0.123421i | ||||
\(275\) | −205.759 | − | 196.190i | −0.748214 | − | 0.713417i | ||||
\(276\) | 45.3648 | + | 109.436i | 0.164365 | + | 0.396507i | ||||
\(277\) | 82.3961i | 0.297459i | 0.988878 | + | 0.148729i | \(0.0475183\pi\) | ||||
−0.988878 | + | 0.148729i | \(0.952482\pi\) | |||||||
\(278\) | −9.93765 | − | 4.53837i | −0.0357469 | − | 0.0163251i | ||||
\(279\) | −76.2676 | − | 22.3942i | −0.273360 | − | 0.0802659i | ||||
\(280\) | 4.45003 | − | 9.16081i | 0.0158930 | − | 0.0327172i | ||||
\(281\) | −72.3343 | − | 112.554i | −0.257417 | − | 0.400549i | 0.688358 | − | 0.725371i | \(-0.258332\pi\) |
−0.945775 | + | 0.324822i | \(0.894696\pi\) | |||||||
\(282\) | 32.6462 | + | 28.2881i | 0.115767 | + | 0.100312i | ||||
\(283\) | −43.6870 | + | 303.850i | −0.154371 | + | 1.07367i | 0.754411 | + | 0.656402i | \(0.227923\pi\) |
−0.908782 | + | 0.417271i | \(0.862987\pi\) | |||||||
\(284\) | 55.6648 | − | 16.3447i | 0.196003 | − | 0.0575516i | ||||
\(285\) | −60.4979 | − | 10.1731i | −0.212273 | − | 0.0356952i | ||||
\(286\) | −70.3404 | + | 10.1134i | −0.245945 | + | 0.0353616i | ||||
\(287\) | −18.2355 | − | 39.9301i | −0.0635382 | − | 0.139129i | ||||
\(288\) | 12.1828 | − | 5.56370i | 0.0423014 | − | 0.0193184i | ||||
\(289\) | −108.122 | − | 752.006i | −0.374125 | − | 2.60210i | ||||
\(290\) | 43.9814 | − | 261.549i | 0.151660 | − | 0.901895i | ||||
\(291\) | −13.9066 | − | 47.3617i | −0.0477892 | − | 0.162755i | ||||
\(292\) | −141.567 | − | 20.3542i | −0.484818 | − | 0.0697063i | ||||
\(293\) | −59.8319 | + | 69.0496i | −0.204204 | + | 0.235664i | −0.848609 | − | 0.529020i | \(-0.822560\pi\) |
0.644405 | + | 0.764684i | \(0.277105\pi\) | |||||||
\(294\) | −148.543 | + | 95.4629i | −0.505249 | + | 0.324704i | ||||
\(295\) | −65.3171 | − | 31.7290i | −0.221414 | − | 0.107556i | ||||
\(296\) | −18.5155 | + | 63.0579i | −0.0625523 | + | 0.213033i | ||||
\(297\) | 138.301 | − | 302.836i | 0.465659 | − | 1.01965i | ||||
\(298\) | 157.267 | 0.527742 | ||||||||
\(299\) | 10.8913 | + | 101.045i | 0.0364257 | + | 0.337943i | ||||
\(300\) | −93.1935 | − | 88.8594i | −0.310645 | − | 0.296198i | ||||
\(301\) | 17.7960 | − | 38.9678i | 0.0591229 | − | 0.129461i | ||||
\(302\) | −77.4154 | + | 263.652i | −0.256342 | + | 0.873021i | ||||
\(303\) | −242.184 | + | 209.853i | −0.799286 | + | 0.692585i | ||||
\(304\) | −10.3029 | − | 16.0316i | −0.0338910 | − | 0.0527355i | ||||
\(305\) | 301.921 | + | 96.5132i | 0.989905 | + | 0.316437i | ||||
\(306\) | −107.328 | − | 15.4314i | −0.350744 | − | 0.0504294i | ||||
\(307\) | −46.4603 | − | 158.229i | −0.151336 | − | 0.515405i | 0.848570 | − | 0.529083i | \(-0.177464\pi\) |
−0.999906 | + | 0.0136785i | \(0.995646\pi\) | |||||||
\(308\) | 8.85524 | − | 13.7790i | 0.0287508 | − | 0.0447371i | ||||
\(309\) | 274.830 | − | 39.5147i | 0.889419 | − | 0.127879i | ||||
\(310\) | −159.688 | + | 175.663i | −0.515122 | + | 0.566655i | ||||
\(311\) | 203.974 | + | 446.641i | 0.655866 | + | 1.43615i | 0.886325 | + | 0.463064i | \(0.153250\pi\) |
−0.230459 | + | 0.973082i | \(0.574023\pi\) | |||||||
\(312\) | −31.8590 | + | 4.58063i | −0.102112 | + | 0.0146815i | ||||
\(313\) | 432.496 | + | 277.948i | 1.38178 | + | 0.888013i | 0.999353 | − | 0.0359741i | \(-0.0114534\pi\) |
0.382423 | + | 0.923987i | \(0.375090\pi\) | |||||||
\(314\) | 47.2551 | + | 160.936i | 0.150494 | + | 0.512535i | ||||
\(315\) | 2.20647 | + | 8.23461i | 0.00700467 | + | 0.0261416i | ||||
\(316\) | −162.595 | − | 140.889i | −0.514541 | − | 0.445853i | ||||
\(317\) | −5.97811 | − | 9.30212i | −0.0188584 | − | 0.0293442i | 0.831696 | − | 0.555231i | \(-0.187370\pi\) |
−0.850555 | + | 0.525886i | \(0.823734\pi\) | |||||||
\(318\) | −165.090 | − | 190.524i | −0.519150 | − | 0.599132i | ||||
\(319\) | 120.171 | − | 409.264i | 0.376711 | − | 1.28296i | ||||
\(320\) | 0.951856 | − | 39.9887i | 0.00297455 | − | 0.124965i | ||||
\(321\) | − | 167.759i | − | 0.522613i | ||||||
\(322\) | −19.2448 | − | 13.3541i | −0.0597665 | − | 0.0414725i | ||||
\(323\) | 154.285i | 0.477662i | ||||||||
\(324\) | 44.9364 | − | 98.3971i | 0.138693 | − | 0.303695i | ||||
\(325\) | −55.2340 | − | 95.6675i | −0.169951 | − | 0.294362i | ||||
\(326\) | 296.779 | + | 342.502i | 0.910366 | + | 1.05062i | ||||
\(327\) | 392.220 | − | 252.065i | 1.19945 | − | 0.770839i | ||||
\(328\) | −130.297 | − | 112.903i | −0.397247 | − | 0.344217i | ||||
\(329\) | −8.45443 | − | 1.21556i | −0.0256973 | − | 0.00369472i | ||||
\(330\) | −131.852 | − | 159.691i | −0.399553 | − | 0.483912i | ||||
\(331\) | 5.23640 | + | 3.36523i | 0.0158199 | + | 0.0101668i | 0.548527 | − | 0.836133i | \(-0.315189\pi\) |
−0.532707 | + | 0.846300i | \(0.678825\pi\) | |||||||
\(332\) | 4.51329 | + | 31.3907i | 0.0135943 | + | 0.0945502i | ||||
\(333\) | −22.8529 | − | 50.0409i | −0.0686274 | − | 0.150273i | ||||
\(334\) | 115.416 | + | 252.727i | 0.345558 | + | 0.756667i | ||||
\(335\) | −257.636 | − | 422.678i | −0.769063 | − | 1.26172i | ||||
\(336\) | 4.01077 | − | 6.24088i | 0.0119368 | − | 0.0185740i | ||||
\(337\) | −362.845 | + | 106.541i | −1.07669 | + | 0.316145i | −0.771554 | − | 0.636164i | \(-0.780520\pi\) |
−0.305136 | + | 0.952309i | \(0.598702\pi\) | |||||||
\(338\) | 209.238 | + | 30.0839i | 0.619047 | + | 0.0890056i | ||||
\(339\) | −312.387 | − | 270.685i | −0.921496 | − | 0.798481i | ||||
\(340\) | −181.516 | + | 268.190i | −0.533870 | + | 0.788795i | ||||
\(341\) | −288.541 | + | 250.022i | −0.846162 | + | 0.733203i | ||||
\(342\) | 15.3057 | + | 4.49415i | 0.0447535 | + | 0.0131408i | ||||
\(343\) | 29.1626 | − | 63.8573i | 0.0850223 | − | 0.186173i | ||||
\(344\) | − | 168.253i | − | 0.489106i | ||||||
\(345\) | −234.914 | + | 180.358i | −0.680910 | + | 0.522777i | ||||
\(346\) | −123.295 | −0.356345 | ||||||||
\(347\) | −24.7668 | − | 11.3106i | −0.0713740 | − | 0.0325954i | 0.379408 | − | 0.925229i | \(-0.376128\pi\) |
−0.450782 | + | 0.892634i | \(0.648855\pi\) | |||||||
\(348\) | 54.4285 | − | 185.367i | 0.156404 | − | 0.532662i | ||||
\(349\) | 196.550 | + | 226.831i | 0.563181 | + | 0.649946i | 0.963903 | − | 0.266254i | \(-0.0857860\pi\) |
−0.400722 | + | 0.916200i | \(0.631241\pi\) | |||||||
\(350\) | 25.0010 | + | 4.81849i | 0.0714316 | + | 0.0137671i | ||||
\(351\) | 84.7125 | − | 97.7635i | 0.241346 | − | 0.278528i | ||||
\(352\) | 9.15511 | − | 63.6752i | 0.0260088 | − | 0.180895i | ||||
\(353\) | −186.500 | − | 635.159i | −0.528327 | − | 1.79932i | −0.597691 | − | 0.801726i | \(-0.703915\pi\) |
0.0693640 | − | 0.997591i | \(-0.477903\pi\) | |||||||
\(354\) | −44.4978 | − | 28.5970i | −0.125700 | − | 0.0807825i | ||||
\(355\) | 75.4872 | + | 123.844i | 0.212640 | + | 0.348857i | ||||
\(356\) | −93.3858 | + | 42.6479i | −0.262320 | + | 0.119797i | ||||
\(357\) | −54.6334 | + | 24.9502i | −0.153035 | + | 0.0698886i | ||||
\(358\) | 414.617 | − | 59.6129i | 1.15815 | − | 0.166517i | ||||
\(359\) | −235.017 | + | 365.693i | −0.654643 | + | 1.01864i | 0.342230 | + | 0.939616i | \(0.388818\pi\) |
−0.996872 | + | 0.0790277i | \(0.974818\pi\) | |||||||
\(360\) | 21.3182 | + | 25.8192i | 0.0592172 | + | 0.0717200i | ||||
\(361\) | −48.1455 | + | 334.859i | −0.133367 | + | 0.927587i | ||||
\(362\) | −62.9260 | + | 72.6204i | −0.173829 | + | 0.200609i | ||||
\(363\) | −11.5888 | − | 18.0326i | −0.0319252 | − | 0.0496766i | ||||
\(364\) | 4.80978 | − | 4.16770i | 0.0132137 | − | 0.0114497i | ||||
\(365\) | −42.4492 | − | 355.028i | −0.116299 | − | 0.972678i | ||||
\(366\) | 210.023 | + | 95.9143i | 0.573833 | + | 0.262061i | ||||
\(367\) | −164.913 | −0.449354 | −0.224677 | − | 0.974433i | \(-0.572133\pi\) | ||||
−0.224677 | + | 0.974433i | \(0.572133\pi\) | |||||||
\(368\) | −90.5427 | − | 16.3102i | −0.246040 | − | 0.0443213i | ||||
\(369\) | 144.317 | 0.391104 | ||||||||
\(370\) | −164.254 | − | 3.90975i | −0.443929 | − | 0.0105669i | ||||
\(371\) | 47.8284 | + | 14.0437i | 0.128917 | + | 0.0378536i | ||||
\(372\) | −130.688 | + | 113.242i | −0.351311 | + | 0.304413i | ||||
\(373\) | 452.236 | − | 290.634i | 1.21243 | − | 0.779181i | 0.231365 | − | 0.972867i | \(-0.425681\pi\) |
0.981063 | + | 0.193687i | \(0.0620445\pi\) | |||||||
\(374\) | −341.064 | + | 393.609i | −0.911936 | + | 1.05243i | ||||
\(375\) | 154.278 | − | 282.542i | 0.411408 | − | 0.753444i | ||||
\(376\) | −32.1878 | + | 9.45118i | −0.0856058 | + | 0.0251361i | ||||
\(377\) | 89.6040 | − | 139.426i | 0.237676 | − | 0.369832i | ||||
\(378\) | 4.24319 | + | 29.5120i | 0.0112254 | + | 0.0780741i | ||||
\(379\) | 108.561 | − | 49.5784i | 0.286442 | − | 0.130814i | −0.267013 | − | 0.963693i | \(-0.586037\pi\) |
0.553454 | + | 0.832879i | \(0.313309\pi\) | |||||||
\(380\) | 32.0468 | − | 35.2528i | 0.0843337 | − | 0.0927704i | ||||
\(381\) | 12.1472 | + | 84.4859i | 0.0318825 | + | 0.221748i | ||||
\(382\) | 122.027 | + | 78.4221i | 0.319443 | + | 0.205293i | ||||
\(383\) | −22.8007 | + | 6.69489i | −0.0595319 | + | 0.0174801i | −0.311363 | − | 0.950291i | \(-0.600785\pi\) |
0.251831 | + | 0.967771i | \(0.418967\pi\) | |||||||
\(384\) | 4.14659 | − | 28.8401i | 0.0107984 | − | 0.0751046i | ||||
\(385\) | 39.0036 | + | 12.4680i | 0.101308 | + | 0.0323845i | ||||
\(386\) | 203.024 | − | 130.476i | 0.525969 | − | 0.338020i | ||||
\(387\) | 92.2300 | + | 106.439i | 0.238321 | + | 0.275037i | ||||
\(388\) | 36.7808 | + | 10.7998i | 0.0947960 | + | 0.0278346i | ||||
\(389\) | 558.212 | + | 254.927i | 1.43499 | + | 0.655339i | 0.972843 | − | 0.231464i | \(-0.0743515\pi\) |
0.462148 | + | 0.886803i | \(0.347079\pi\) | |||||||
\(390\) | −31.6758 | − | 73.9696i | −0.0812199 | − | 0.189666i | ||||
\(391\) | 545.281 | + | 507.397i | 1.39458 | + | 1.29769i | ||||
\(392\) | − | 137.126i | − | 0.349811i | ||||||
\(393\) | 278.985 | + | 127.408i | 0.709885 | + | 0.324194i | ||||
\(394\) | −104.194 | − | 30.5940i | −0.264451 | − | 0.0776497i | ||||
\(395\) | 235.014 | − | 483.799i | 0.594973 | − | 1.22481i | ||||
\(396\) | 29.1128 | + | 45.3004i | 0.0735171 | + | 0.114395i | ||||
\(397\) | −285.388 | − | 247.290i | −0.718861 | − | 0.622897i | 0.216627 | − | 0.976254i | \(-0.430494\pi\) |
−0.935488 | + | 0.353358i | \(0.885040\pi\) | |||||||
\(398\) | −45.8789 | + | 319.095i | −0.115274 | + | 0.801746i | ||||
\(399\) | 8.47793 | − | 2.48935i | 0.0212480 | − | 0.00623896i | ||||
\(400\) | 97.1811 | − | 23.5761i | 0.242953 | − | 0.0589404i | ||||
\(401\) | −697.167 | + | 100.238i | −1.73857 | + | 0.249969i | −0.937348 | − | 0.348395i | \(-0.886727\pi\) |
−0.801224 | + | 0.598364i | \(0.795818\pi\) | |||||||
\(402\) | −149.787 | − | 327.988i | −0.372605 | − | 0.815892i | ||||
\(403\) | −134.943 | + | 61.6266i | −0.334847 | + | 0.152920i | ||||
\(404\) | −35.4170 | − | 246.331i | −0.0876658 | − | 0.609729i | ||||
\(405\) | 266.687 | + | 44.8452i | 0.658486 | + | 0.110729i | ||||
\(406\) | 10.7621 | + | 36.6525i | 0.0265078 | + | 0.0902771i | ||||
\(407\) | −261.546 | − | 37.6046i | −0.642619 | − | 0.0923947i | ||||
\(408\) | −154.477 | + | 178.276i | −0.378620 | + | 0.436950i | ||||
\(409\) | 5.78746 | − | 3.71937i | 0.0141503 | − | 0.00909383i | −0.533547 | − | 0.845771i | \(-0.679141\pi\) |
0.547697 | + | 0.836677i | \(0.315505\pi\) | |||||||
\(410\) | 188.331 | − | 387.697i | 0.459344 | − | 0.945603i | ||||
\(411\) | −41.7653 | + | 142.240i | −0.101619 | + | 0.346082i | ||||
\(412\) | −89.5745 | + | 196.141i | −0.217414 | + | 0.476070i | ||||
\(413\) | 10.4589 | 0.0253241 | ||||||||
\(414\) | 66.2193 | − | 39.3141i | 0.159950 | − | 0.0949617i | ||||
\(415\) | −72.8823 | + | 31.2101i | −0.175620 | + | 0.0752051i | ||||
\(416\) | 10.3837 | − | 22.7371i | 0.0249608 | − | 0.0546565i | ||||
\(417\) | 5.60500 | − | 19.0889i | 0.0134412 | − | 0.0457767i | ||||
\(418\) | 57.9056 | − | 50.1755i | 0.138530 | − | 0.120037i | ||||
\(419\) | 70.4414 | + | 109.609i | 0.168118 | + | 0.261597i | 0.915082 | − | 0.403268i | \(-0.132126\pi\) |
−0.746964 | + | 0.664864i | \(0.768489\pi\) | |||||||
\(420\) | 17.6657 | + | 5.64709i | 0.0420613 | + | 0.0134455i | ||||
\(421\) | 658.928 | + | 94.7395i | 1.56515 | + | 0.225035i | 0.869715 | − | 0.493555i | \(-0.164303\pi\) |
0.695435 | + | 0.718589i | \(0.255212\pi\) | |||||||
\(422\) | −15.6918 | − | 53.4413i | −0.0371843 | − | 0.126638i | ||||
\(423\) | 15.1817 | − | 23.6231i | 0.0358905 | − | 0.0558467i | ||||
\(424\) | 193.786 | − | 27.8622i | 0.457043 | − | 0.0657128i | ||||
\(425\) | −765.079 | − | 264.794i | −1.80019 | − | 0.623045i | ||||
\(426\) | 43.8876 | + | 96.1004i | 0.103022 | + | 0.225588i | ||||
\(427\) | −45.1888 | + | 6.49716i | −0.105828 | + | 0.0152158i | ||||
\(428\) | 109.599 | + | 70.4349i | 0.256072 | + | 0.164568i | ||||
\(429\) | −36.4591 | − | 124.168i | −0.0849862 | − | 0.289436i | ||||
\(430\) | 406.299 | − | 108.868i | 0.944881 | − | 0.253181i | ||||
\(431\) | 348.416 | + | 301.905i | 0.808391 | + | 0.700475i | 0.957527 | − | 0.288342i | \(-0.0931040\pi\) |
−0.149137 | + | 0.988817i | \(0.547649\pi\) | |||||||
\(432\) | 63.3101 | + | 98.5124i | 0.146551 | + | 0.228038i | ||||
\(433\) | 355.620 | + | 410.407i | 0.821294 | + | 0.947823i | 0.999345 | − | 0.0361980i | \(-0.0115247\pi\) |
−0.178051 | + | 0.984021i | \(0.556979\pi\) | |||||||
\(434\) | 9.63311 | − | 32.8074i | 0.0221961 | − | 0.0755930i | ||||
\(435\) | 482.844 | + | 11.4932i | 1.10999 | + | 0.0264211i | ||||
\(436\) | 362.074i | 0.830445i | ||||||||
\(437\) | −68.7791 | − | 85.3020i | −0.157389 | − | 0.195199i | ||||
\(438\) | − | 260.450i | − | 0.594636i | ||||||
\(439\) | 264.729 | − | 579.675i | 0.603027 | − | 1.32044i | −0.324216 | − | 0.945983i | \(-0.605100\pi\) |
0.927243 | − | 0.374461i | \(-0.122172\pi\) | |||||||
\(440\) | 159.688 | − | 19.0932i | 0.362926 | − | 0.0433936i | ||||
\(441\) | 75.1676 | + | 86.7480i | 0.170448 | + | 0.196707i | ||||
\(442\) | −170.243 | + | 109.409i | −0.385166 | + | 0.247531i | ||||
\(443\) | 45.1754 | + | 39.1447i | 0.101976 | + | 0.0883627i | 0.704357 | − | 0.709846i | \(-0.251236\pi\) |
−0.602381 | + | 0.798209i | \(0.705781\pi\) | |||||||
\(444\) | −118.461 | − | 17.0321i | −0.266804 | − | 0.0383606i | ||||
\(445\) | −163.412 | − | 197.914i | −0.367218 | − | 0.444751i | ||||
\(446\) | 91.1959 | + | 58.6080i | 0.204475 | + | 0.131408i | ||||
\(447\) | 40.7576 | + | 283.476i | 0.0911804 | + | 0.634174i | ||||
\(448\) | 2.39329 | + | 5.24057i | 0.00534216 | + | 0.0116977i | ||||
\(449\) | −9.79098 | − | 21.4393i | −0.0218062 | − | 0.0477489i | 0.898416 | − | 0.439146i | \(-0.144719\pi\) |
−0.920222 | + | 0.391397i | \(0.871992\pi\) | |||||||
\(450\) | −48.5546 | + | 68.1858i | −0.107899 | + | 0.151524i | ||||
\(451\) | 374.765 | − | 583.146i | 0.830965 | − | 1.29301i | ||||
\(452\) | 308.001 | − | 90.4371i | 0.681417 | − | 0.200082i | ||||
\(453\) | −495.299 | − | 71.2133i | −1.09338 | − | 0.157204i | ||||
\(454\) | −232.565 | − | 201.518i | −0.512257 | − | 0.443873i | ||||
\(455\) | 13.1764 | + | 8.91802i | 0.0289591 | + | 0.0196000i | ||||
\(456\) | 26.2270 | − | 22.7258i | 0.0575153 | − | 0.0498373i | ||||
\(457\) | −225.934 | − | 66.3403i | −0.494386 | − | 0.145165i | 0.0250294 | − | 0.999687i | \(-0.492032\pi\) |
−0.519415 | + | 0.854522i | \(0.673850\pi\) | |||||||
\(458\) | 30.4809 | − | 66.7440i | 0.0665523 | − | 0.145729i | ||||
\(459\) | − | 948.064i | − | 2.06550i | ||||||
\(460\) | −19.1995 | − | 229.197i | −0.0417381 | − | 0.498255i | ||||
\(461\) | 285.538 | 0.619389 | 0.309694 | − | 0.950836i | \(-0.399773\pi\) | ||||
0.309694 | + | 0.950836i | \(0.399773\pi\) | |||||||
\(462\) | 27.1318 | + | 12.3907i | 0.0587267 | + | 0.0268196i | ||||
\(463\) | −121.568 | + | 414.023i | −0.262566 | + | 0.894218i | 0.717669 | + | 0.696384i | \(0.245209\pi\) |
−0.980236 | + | 0.197834i | \(0.936609\pi\) | |||||||
\(464\) | 98.2500 | + | 113.387i | 0.211746 | + | 0.244368i | ||||
\(465\) | −358.019 | − | 242.314i | −0.769933 | − | 0.521105i | ||||
\(466\) | −149.657 | + | 172.713i | −0.321152 | + | 0.370630i | ||||
\(467\) | 31.2607 | − | 217.423i | 0.0669394 | − | 0.465574i | −0.928589 | − | 0.371110i | \(-0.878977\pi\) |
0.995528 | − | 0.0944636i | \(-0.0301136\pi\) | |||||||
\(468\) | 5.89479 | + | 20.0758i | 0.0125957 | + | 0.0428970i | ||||
\(469\) | 59.9780 | + | 38.5455i | 0.127885 | + | 0.0821866i | ||||
\(470\) | −43.6500 | − | 71.6121i | −0.0928723 | − | 0.152366i | ||||
\(471\) | −277.842 | + | 126.886i | −0.589898 | + | 0.269397i | ||||
\(472\) | 37.3656 | − | 17.0643i | 0.0791644 | − | 0.0361532i | ||||
\(473\) | 669.595 | − | 96.2732i | 1.41563 | − | 0.203537i | ||||
\(474\) | 211.816 | − | 329.592i | 0.446869 | − | 0.695342i | ||||
\(475\) | 105.865 | + | 54.5767i | 0.222873 | + | 0.114898i | ||||
\(476\) | 6.63800 | − | 46.1683i | 0.0139454 | − | 0.0969922i | ||||
\(477\) | −107.319 | + | 123.853i | −0.224987 | + | 0.259649i | ||||
\(478\) | 181.418 | + | 282.292i | 0.379535 | + | 0.590569i | ||||
\(479\) | −539.089 | + | 467.124i | −1.12545 | + | 0.975206i | −0.999858 | − | 0.0168764i | \(-0.994628\pi\) |
−0.125590 | + | 0.992082i | \(0.540082\pi\) | |||||||
\(480\) | 72.3266 | − | 8.64780i | 0.150681 | − | 0.0180163i | ||||
\(481\) | −93.3927 | − | 42.6510i | −0.194164 | − | 0.0886716i | ||||
\(482\) | 71.0732 | 0.147455 | ||||||||
\(483\) | 19.0835 | − | 38.1498i | 0.0395103 | − | 0.0789852i | ||||
\(484\) | 16.6466 | 0.0343938 | ||||||||
\(485\) | −2.28050 | + | 95.8069i | −0.00470207 | + | 0.197540i | ||||
\(486\) | −168.515 | − | 49.4805i | −0.346739 | − | 0.101812i | ||||
\(487\) | 452.971 | − | 392.502i | 0.930126 | − | 0.805959i | −0.0511251 | − | 0.998692i | \(-0.516281\pi\) |
0.981251 | + | 0.192733i | \(0.0617353\pi\) | |||||||
\(488\) | −150.842 | + | 96.9403i | −0.309102 | + | 0.198648i | ||||
\(489\) | −540.449 | + | 623.711i | −1.10521 | + | 1.27548i | ||||
\(490\) | 331.134 | − | 88.7275i | 0.675783 | − | 0.181077i | ||||
\(491\) | −179.864 | + | 52.8127i | −0.366321 | + | 0.107562i | −0.459712 | − | 0.888068i | \(-0.652047\pi\) |
0.0933912 | + | 0.995629i | \(0.470229\pi\) | |||||||
\(492\) | 169.741 | − | 264.122i | 0.345002 | − | 0.536833i | ||||
\(493\) | −172.865 | − | 1202.30i | −0.350640 | − | 2.43875i | ||||
\(494\) | 27.0810 | − | 12.3675i | 0.0548198 | − | 0.0250354i | ||||
\(495\) | −90.5545 | + | 99.6136i | −0.182938 | + | 0.201240i | ||||
\(496\) | −19.1118 | − | 132.926i | −0.0385319 | − | 0.267995i | ||||
\(497\) | −17.5735 | − | 11.2938i | −0.0353592 | − | 0.0227240i | ||||
\(498\) | −55.4123 | + | 16.2705i | −0.111270 | + | 0.0326717i | ||||
\(499\) | −104.515 | + | 726.921i | −0.209450 | + | 1.45676i | 0.565508 | + | 0.824743i | \(0.308680\pi\) |
−0.774958 | + | 0.632013i | \(0.782229\pi\) | |||||||
\(500\) | 119.813 | + | 219.419i | 0.239626 | + | 0.438839i | ||||
\(501\) | −425.631 | + | 273.536i | −0.849562 | + | 0.545981i | ||||
\(502\) | −346.758 | − | 400.180i | −0.690753 | − | 0.797171i | ||||
\(503\) | −199.495 | − | 58.5771i | −0.396611 | − | 0.116456i | 0.0773441 | − | 0.997004i | \(-0.475356\pi\) |
−0.473955 | + | 0.880549i | \(0.657174\pi\) | |||||||
\(504\) | −4.38672 | − | 2.00335i | −0.00870382 | − | 0.00397490i | ||||
\(505\) | 571.926 | − | 244.914i | 1.13253 | − | 0.484978i | ||||
\(506\) | 13.1018 | − | 369.665i | 0.0258929 | − | 0.730564i | ||||
\(507\) | 384.950i | 0.759270i | ||||||||
\(508\) | −60.2958 | − | 27.5362i | −0.118693 | − | 0.0542051i | ||||
\(509\) | −234.215 | − | 68.7717i | −0.460147 | − | 0.135111i | 0.0434395 | − | 0.999056i | \(-0.486168\pi\) |
−0.503587 | + | 0.863945i | \(0.667987\pi\) | |||||||
\(510\) | −530.457 | − | 257.679i | −1.04011 | − | 0.505254i | ||||
\(511\) | 27.8424 | + | 43.3236i | 0.0544861 | + | 0.0847820i | ||||
\(512\) | 17.1007 | + | 14.8178i | 0.0333997 | + | 0.0289410i | ||||
\(513\) | −19.8492 | + | 138.054i | −0.0386925 | + | 0.269112i | ||||
\(514\) | −191.833 | + | 56.3272i | −0.373216 | + | 0.109586i | ||||
\(515\) | −531.603 | − | 89.3927i | −1.03224 | − | 0.173578i | ||||
\(516\) | 303.277 | − | 43.6046i | 0.587746 | − | 0.0845051i | ||||
\(517\) | −56.0305 | − | 122.690i | −0.108376 | − | 0.237311i | ||||
\(518\) | 21.5257 | − | 9.83044i | 0.0415553 | − | 0.0189777i | ||||
\(519\) | −31.9534 | − | 222.241i | −0.0615673 | − | 0.428210i | ||||
\(520\) | 61.6247 | + | 10.3626i | 0.118509 | + | 0.0199281i | ||||
\(521\) | −230.596 | − | 785.339i | −0.442603 | − | 1.50737i | −0.815092 | − | 0.579331i | \(-0.803314\pi\) |
0.372489 | − | 0.928037i | \(-0.378504\pi\) | |||||||
\(522\) | −124.309 | − | 17.8729i | −0.238140 | − | 0.0342393i | ||||
\(523\) | −31.7125 | + | 36.5982i | −0.0606358 | + | 0.0699774i | −0.785257 | − | 0.619170i | \(-0.787469\pi\) |
0.724621 | + | 0.689147i | \(0.242015\pi\) | |||||||
\(524\) | −200.372 | + | 128.771i | −0.382388 | + | 0.245746i | ||||
\(525\) | −2.20606 | + | 46.3134i | −0.00420202 | + | 0.0882160i | ||||
\(526\) | 91.9002 | − | 312.983i | 0.174715 | − | 0.595025i | ||||
\(527\) | −451.656 | + | 988.988i | −0.857032 | + | 1.87664i | ||||
\(528\) | 117.148 | 0.221871 | ||||||||
\(529\) | −527.673 | − | 37.4510i | −0.997491 | − | 0.0707958i | ||||
\(530\) | 192.672 | + | 449.929i | 0.363531 | + | 0.848923i | ||||
\(531\) | −14.2840 | + | 31.2776i | −0.0269002 | + | 0.0589032i | ||||
\(532\) | −1.93321 | + | 6.58392i | −0.00363386 | + | 0.0123758i | ||||
\(533\) | 203.556 | − | 176.382i | 0.381907 | − | 0.330924i | ||||
\(534\) | −101.075 | − | 157.276i | −0.189279 | − | 0.294525i | ||||
\(535\) | −99.1712 | + | 310.236i | −0.185367 | + | 0.579880i | ||||
\(536\) | 277.169 | + | 39.8508i | 0.517106 | + | 0.0743486i | ||||
\(537\) | 214.906 | + | 731.902i | 0.400197 | + | 1.36295i | ||||
\(538\) | 164.931 | − | 256.638i | 0.306564 | − | 0.477022i | ||||
\(539\) | 545.720 | − | 78.4628i | 1.01247 | − | 0.145571i | ||||
\(540\) | −196.924 | + | 216.625i | −0.364675 | + | 0.401157i | ||||
\(541\) | 300.833 | + | 658.733i | 0.556069 | + | 1.21762i | 0.953889 | + | 0.300158i | \(0.0970396\pi\) |
−0.397820 | + | 0.917463i | \(0.630233\pi\) | |||||||
\(542\) | 255.818 | − | 36.7810i | 0.471988 | − | 0.0678617i | ||||
\(543\) | −147.207 | − | 94.6042i | −0.271099 | − | 0.174225i | ||||
\(544\) | −51.6114 | − | 175.772i | −0.0948739 | − | 0.323111i | ||||
\(545\) | −874.341 | + | 234.280i | −1.60430 | + | 0.429872i | ||||
\(546\) | 8.75883 | + | 7.58957i | 0.0160418 | + | 0.0139003i | ||||
\(547\) | 71.7815 | + | 111.694i | 0.131228 | + | 0.204194i | 0.900649 | − | 0.434547i | \(-0.143092\pi\) |
−0.769421 | + | 0.638742i | \(0.779455\pi\) | |||||||
\(548\) | −75.3914 | − | 87.0063i | −0.137576 | − | 0.158771i | ||||
\(549\) | 42.2858 | − | 144.012i | 0.0770232 | − | 0.262317i | ||||
\(550\) | 149.432 | + | 373.261i | 0.271695 | + | 0.678657i | ||||
\(551\) | 178.695i | 0.324311i | ||||||||
\(552\) | 5.93415 | − | 167.431i | 0.0107503 | − | 0.303317i | ||||
\(553\) | 77.4680i | 0.140087i | ||||||||
\(554\) | 48.4065 | − | 105.995i | 0.0873764 | − | 0.191328i | ||||
\(555\) | −35.5209 | − | 297.082i | −0.0640016 | − | 0.535283i | ||||
\(556\) | 10.1177 | + | 11.6764i | 0.0181973 | + | 0.0210008i | ||||
\(557\) | −298.274 | + | 191.689i | −0.535501 | + | 0.344146i | −0.780277 | − | 0.625434i | \(-0.784922\pi\) |
0.244776 | + | 0.969580i | \(0.421286\pi\) | |||||||
\(558\) | 84.9554 | + | 73.6143i | 0.152250 | + | 0.131925i | ||||
\(559\) | 260.177 | + | 37.4078i | 0.465432 | + | 0.0669191i | ||||
\(560\) | −11.1064 | + | 9.17027i | −0.0198329 | + | 0.0163755i | ||||
\(561\) | −797.875 | − | 512.763i | −1.42224 | − | 0.914016i | ||||
\(562\) | 26.9278 | + | 187.287i | 0.0479142 | + | 0.333251i | ||||
\(563\) | 71.7752 | + | 157.166i | 0.127487 | + | 0.279158i | 0.962603 | − | 0.270916i | \(-0.0873267\pi\) |
−0.835116 | + | 0.550074i | \(0.814599\pi\) | |||||||
\(564\) | −25.3777 | − | 55.5694i | −0.0449959 | − | 0.0985273i | ||||
\(565\) | 417.681 | + | 685.246i | 0.739258 | + | 1.21283i | ||||
\(566\) | 234.707 | − | 365.211i | 0.414676 | − | 0.645249i | ||||
\(567\) | −37.3724 | + | 10.9735i | −0.0659126 | + | 0.0193537i | ||||
\(568\) | −81.2102 | − | 11.6763i | −0.142976 | − | 0.0205568i | ||||
\(569\) | −698.543 | − | 605.291i | −1.22767 | − | 1.06378i | −0.995849 | − | 0.0910211i | \(-0.970987\pi\) |
−0.231819 | − | 0.972759i | \(-0.574468\pi\) | |||||||
\(570\) | 71.8487 | + | 48.6285i | 0.126050 | + | 0.0853131i | ||||
\(571\) | −584.525 | + | 506.494i | −1.02369 | + | 0.887030i | −0.993650 | − | 0.112519i | \(-0.964108\pi\) |
−0.0300378 | + | 0.999549i | \(0.509563\pi\) | |||||||
\(572\) | 96.4283 | + | 28.3139i | 0.168581 | + | 0.0494999i | ||||
\(573\) | −109.732 | + | 240.279i | −0.191504 | + | 0.419335i | ||||
\(574\) | 62.0797i | 0.108153i | ||||||||
\(575\) | 541.046 | − | 194.666i | 0.940949 | − | 0.338549i | ||||
\(576\) | −18.9407 | −0.0328832 | ||||||||
\(577\) | 465.037 | + | 212.375i | 0.805956 | + | 0.368068i | 0.775404 | − | 0.631465i | \(-0.217546\pi\) |
0.0305521 | + | 0.999533i | \(0.490273\pi\) | |||||||
\(578\) | −302.703 | + | 1030.91i | −0.523708 | + | 1.78358i | ||||
\(579\) | 287.799 | + | 332.138i | 0.497063 | + | 0.573641i | ||||
\(580\) | −210.235 | + | 310.622i | −0.362474 | + | 0.535556i | ||||
\(581\) | 7.47800 | − | 8.63007i | 0.0128709 | − | 0.0148538i | ||||
\(582\) | −9.93461 | + | 69.0967i | −0.0170698 | + | 0.118723i | ||||
\(583\) | 221.767 | + | 755.268i | 0.380389 | + | 1.29549i | ||||
\(584\) | 170.156 | + | 109.352i | 0.291362 | + | 0.187247i | ||||
\(585\) | −44.6651 | + | 27.2249i | −0.0763506 | + | 0.0465383i | ||||
\(586\) | 117.534 | − | 53.6761i | 0.200570 | − | 0.0915974i | ||||
\(587\) | −927.083 | + | 423.385i | −1.57936 | + | 0.721268i | −0.995865 | − | 0.0908498i | \(-0.971042\pi\) |
−0.583493 | + | 0.812118i | \(0.698314\pi\) | |||||||
\(588\) | 247.171 | − | 35.5378i | 0.420359 | − | 0.0604385i | ||||
\(589\) | 86.4748 | − | 134.557i | 0.146816 | − | 0.228451i | ||||
\(590\) | 65.3845 | + | 79.1895i | 0.110821 | + | 0.134219i | ||||
\(591\) | 28.1430 | − | 195.739i | 0.0476192 | − | 0.331199i | ||||
\(592\) | 60.8642 | − | 70.2410i | 0.102811 | − | 0.118650i | ||||
\(593\) | −367.057 | − | 571.152i | −0.618984 | − | 0.963158i | −0.999267 | − | 0.0382874i | \(-0.987810\pi\) |
0.380283 | − | 0.924870i | \(-0.375827\pi\) | |||||||
\(594\) | −355.824 | + | 308.323i | −0.599031 | + | 0.519063i | ||||
\(595\) | 115.783 | − | 13.8437i | 0.194593 | − | 0.0232667i | ||||
\(596\) | −202.311 | − | 92.3922i | −0.339448 | − | 0.155020i | ||||
\(597\) | −587.061 | −0.983353 | ||||||||
\(598\) | 45.3517 | − | 136.384i | 0.0758389 | − | 0.228067i | ||||
\(599\) | 887.931 | 1.48236 | 0.741178 | − | 0.671308i | \(-0.234267\pi\) | ||||
0.741178 | + | 0.671308i | \(0.234267\pi\) | |||||||
\(600\) | 67.6818 | + | 169.060i | 0.112803 | + | 0.281766i | ||||
\(601\) | −834.900 | − | 245.149i | −1.38918 | − | 0.407901i | −0.500228 | − | 0.865894i | \(-0.666751\pi\) |
−0.888956 | + | 0.457992i | \(0.848569\pi\) | |||||||
\(602\) | −45.7860 | + | 39.6738i | −0.0760565 | + | 0.0659033i | ||||
\(603\) | −197.186 | + | 126.724i | −0.327008 | + | 0.210155i | ||||
\(604\) | 254.480 | − | 293.686i | 0.421325 | − | 0.486235i | ||||
\(605\) | 10.7712 | + | 40.1984i | 0.0178036 | + | 0.0664437i | ||||
\(606\) | 434.834 | − | 127.679i | 0.717548 | − | 0.210691i | ||||
\(607\) | 381.702 | − | 593.939i | 0.628833 | − | 0.978483i | −0.369945 | − | 0.929054i | \(-0.620623\pi\) |
0.998778 | − | 0.0494292i | \(-0.0157402\pi\) | |||||||
\(608\) | 3.83543 | + | 26.6760i | 0.00630828 | + | 0.0438751i | ||||
\(609\) | −63.2774 | + | 28.8978i | −0.103904 | + | 0.0474512i | ||||
\(610\) | −331.695 | − | 301.530i | −0.543763 | − | 0.494312i | ||||
\(611\) | −7.45846 | − | 51.8747i | −0.0122070 | − | 0.0849013i | ||||
\(612\) | 129.002 | + | 82.9047i | 0.210788 | + | 0.135465i | ||||
\(613\) | 169.465 | − | 49.7593i | 0.276451 | − | 0.0811734i | −0.140568 | − | 0.990071i | \(-0.544893\pi\) |
0.417019 | + | 0.908898i | \(0.363075\pi\) | |||||||
\(614\) | −33.1902 | + | 230.843i | −0.0540557 | + | 0.375966i | ||||
\(615\) | 747.636 | + | 238.992i | 1.21567 | + | 0.388605i | ||||
\(616\) | −19.4865 | + | 12.5232i | −0.0316339 | + | 0.0203299i | ||||
\(617\) | 640.695 | + | 739.401i | 1.03840 | + | 1.19838i | 0.979775 | + | 0.200101i | \(0.0641271\pi\) |
0.0586278 | + | 0.998280i | \(0.481327\pi\) | |||||||
\(618\) | −376.760 | − | 110.627i | −0.609644 | − | 0.179008i | ||||
\(619\) | 782.611 | + | 357.407i | 1.26432 | + | 0.577393i | 0.930861 | − | 0.365373i | \(-0.119059\pi\) |
0.333454 | + | 0.942766i | \(0.391786\pi\) | |||||||
\(620\) | 308.624 | − | 132.161i | 0.497781 | − | 0.213163i | ||||
\(621\) | 422.640 | + | 524.172i | 0.680580 | + | 0.844078i | ||||
\(622\) | − | 694.398i | − | 1.11640i | ||||||
\(623\) | 33.6259 | + | 15.3564i | 0.0539742 | + | 0.0246492i | ||||
\(624\) | 43.6749 | + | 12.8241i | 0.0699918 | + | 0.0205515i | ||||
\(625\) | −452.332 | + | 431.302i | −0.723730 | + | 0.690083i | ||||
\(626\) | −393.078 | − | 611.641i | −0.627920 | − | 0.977063i | ||||
\(627\) | 105.449 | + | 91.3719i | 0.168180 | + | 0.145729i | ||||
\(628\) | 33.7580 | − | 234.792i | 0.0537547 | − | 0.373872i | ||||
\(629\) | −721.985 | + | 211.994i | −1.14783 | + | 0.337033i | ||||
\(630\) | 1.99928 | − | 11.8894i | 0.00317347 | − | 0.0188721i | ||||
\(631\) | 716.964 | − | 103.084i | 1.13623 | − | 0.163366i | 0.451578 | − | 0.892232i | \(-0.350861\pi\) |
0.684657 | + | 0.728866i | \(0.259952\pi\) | |||||||
\(632\) | 126.394 | + | 276.764i | 0.199991 | + | 0.437918i | ||||
\(633\) | 92.2617 | − | 42.1345i | 0.145753 | − | 0.0665632i | ||||
\(634\) | 2.22546 | + | 15.4784i | 0.00351019 | + | 0.0244139i | ||||
\(635\) | 27.4803 | − | 163.421i | 0.0432761 | − | 0.257355i | ||||
\(636\) | 100.444 | + | 342.080i | 0.157931 | + | 0.537862i | ||||
\(637\) | 212.044 | + | 30.4874i | 0.332879 | + | 0.0478608i | ||||
\(638\) | −395.026 | + | 455.885i | −0.619164 | + | 0.714553i | ||||
\(639\) | 57.7753 | − | 37.1299i | 0.0904152 | − | 0.0581063i | ||||
\(640\) | −24.7172 | + | 50.8828i | −0.0386207 | + | 0.0795043i | ||||
\(641\) | 46.2523 | − | 157.521i | 0.0721565 | − | 0.245743i | −0.915515 | − | 0.402284i | \(-0.868216\pi\) |
0.987671 | + | 0.156542i | \(0.0500345\pi\) | |||||||
\(642\) | −98.5558 | + | 215.807i | −0.153514 | + | 0.336148i | ||||
\(643\) | −545.056 | −0.847676 | −0.423838 | − | 0.905738i | \(-0.639317\pi\) | ||||
−0.423838 | + | 0.905738i | \(0.639317\pi\) | |||||||
\(644\) | 16.9114 | + | 28.4850i | 0.0262600 | + | 0.0442314i | ||||
\(645\) | 301.533 | + | 704.143i | 0.467492 | + | 1.09169i | ||||
\(646\) | 90.6401 | − | 198.474i | 0.140310 | − | 0.307236i | ||||
\(647\) | 174.452 | − | 594.128i | 0.269632 | − | 0.918281i | −0.707691 | − | 0.706523i | \(-0.750263\pi\) |
0.977322 | − | 0.211758i | \(-0.0679189\pi\) | |||||||
\(648\) | −115.614 | + | 100.180i | −0.178416 | + | 0.154599i | ||||
\(649\) | 89.2911 | + | 138.940i | 0.137583 | + | 0.214083i | ||||
\(650\) | 14.8505 | + | 155.517i | 0.0228469 | + | 0.239257i | ||||
\(651\) | 61.6321 | + | 8.86136i | 0.0946730 | + | 0.0136119i | ||||
\(652\) | −180.566 | − | 614.952i | −0.276942 | − | 0.943179i | ||||
\(653\) | −322.081 | + | 501.168i | −0.493233 | + | 0.767485i | −0.995248 | − | 0.0973739i | \(-0.968956\pi\) |
0.502015 | + | 0.864859i | \(0.332592\pi\) | |||||||
\(654\) | −652.642 | + | 93.8357i | −0.997923 | + | 0.143480i | ||||
\(655\) | −440.608 | − | 400.539i | −0.672685 | − | 0.611509i | ||||
\(656\) | 101.287 | + | 221.788i | 0.154401 | + | 0.338091i | ||||
\(657\) | −167.586 | + | 24.0952i | −0.255078 | + | 0.0366746i | ||||
\(658\) | 10.1618 | + | 6.53057i | 0.0154434 | + | 0.00992488i | ||||
\(659\) | 189.037 | + | 643.800i | 0.286854 | + | 0.976935i | 0.969276 | + | 0.245977i | \(0.0791086\pi\) |
−0.682422 | + | 0.730959i | \(0.739073\pi\) | |||||||
\(660\) | 75.8006 | + | 282.890i | 0.114849 | + | 0.428621i | ||||
\(661\) | 474.685 | + | 411.317i | 0.718132 | + | 0.622265i | 0.935294 | − | 0.353870i | \(-0.115135\pi\) |
−0.217162 | + | 0.976136i | \(0.569680\pi\) | |||||||
\(662\) | −4.75915 | − | 7.40538i | −0.00718905 | − | 0.0111864i | ||||
\(663\) | −241.331 | − | 278.511i | −0.363998 | − | 0.420077i | ||||
\(664\) | 12.6356 | − | 43.0329i | 0.0190295 | − | 0.0648085i | ||||
\(665\) | −17.1498 | − | 0.408219i | −0.0257892 | − | 0.000613864i | ||||
\(666\) | 77.7991i | 0.116815i | ||||||||
\(667\) | 631.554 | + | 587.676i | 0.946857 | + | 0.881074i | ||||
\(668\) | − | 392.917i | − | 0.588199i | ||||||
\(669\) | −82.0071 | + | 179.570i | −0.122582 | + | 0.268416i | ||||
\(670\) | 83.1098 | + | 695.096i | 0.124045 | + | 1.03746i | ||||
\(671\) | −472.104 | − | 544.837i | −0.703583 | − | 0.811978i | ||||
\(672\) | −8.82593 | + | 5.67208i | −0.0131338 | + | 0.00844060i | ||||
\(673\) | −675.517 | − | 585.339i | −1.00374 | − | 0.869746i | −0.0122496 | − | 0.999925i | \(-0.503899\pi\) |
−0.991490 | + | 0.130179i | \(0.958445\pi\) | |||||||
\(674\) | 529.359 | + | 76.1104i | 0.785400 | + | 0.112923i | ||||
\(675\) | −650.528 | − | 335.368i | −0.963745 | − | 0.496842i | ||||
\(676\) | −251.493 | − | 161.625i | −0.372031 | − | 0.239090i | ||||
\(677\) | −19.5587 | − | 136.034i | −0.0288903 | − | 0.200936i | 0.970264 | − | 0.242048i | \(-0.0778192\pi\) |
−0.999155 | + | 0.0411116i | \(0.986910\pi\) | |||||||
\(678\) | 242.836 | + | 531.736i | 0.358165 | + | 0.784271i | ||||
\(679\) | −5.73397 | − | 12.5556i | −0.00844472 | − | 0.0184914i | ||||
\(680\) | 391.062 | − | 238.366i | 0.575092 | − | 0.350538i | ||||
\(681\) | 302.967 | − | 471.426i | 0.444885 | − | 0.692255i | ||||
\(682\) | 518.068 | − | 152.118i | 0.759630 | − | 0.223048i | ||||
\(683\) | −502.399 | − | 72.2341i | −0.735577 | − | 0.105760i | −0.235663 | − | 0.971835i | \(-0.575726\pi\) |
−0.499914 | + | 0.866075i | \(0.666635\pi\) | |||||||
\(684\) | −17.0492 | − | 14.7732i | −0.0249257 | − | 0.0215983i | ||||
\(685\) | 161.322 | − | 238.354i | 0.235507 | − | 0.347962i | ||||
\(686\) | −75.0305 | + | 65.0143i | −0.109374 | + | 0.0947730i | ||||
\(687\) | 128.206 | + | 37.6447i | 0.186617 | + | 0.0547958i | ||||
\(688\) | −98.8460 | + | 216.443i | −0.143671 | + | 0.314597i | ||||
\(689\) | 305.855i | 0.443911i | ||||||||
\(690\) | 408.154 | − | 94.0065i | 0.591528 | − | 0.136241i | ||||
\(691\) | −1156.87 | −1.67420 | −0.837102 | − | 0.547047i | \(-0.815752\pi\) | ||||
−0.837102 | + | 0.547047i | \(0.815752\pi\) | |||||||
\(692\) | 158.609 | + | 72.4342i | 0.229204 | + | 0.104674i | ||||
\(693\) | 5.46267 | − | 18.6042i | 0.00788264 | − | 0.0268458i | ||||
\(694\) | 25.2155 | + | 29.1003i | 0.0363336 | + | 0.0419312i | ||||
\(695\) | −21.6498 | + | 31.9876i | −0.0311508 | + | 0.0460253i | ||||
\(696\) | −178.918 | + | 206.482i | −0.257066 | + | 0.296670i | ||||
\(697\) | 280.929 | − | 1953.90i | 0.403054 | − | 2.80330i | ||||
\(698\) | −119.585 | − | 407.269i | −0.171325 | − | 0.583480i | ||||
\(699\) | −350.103 | − | 224.997i | −0.500863 | − | 0.321885i | ||||
\(700\) | −29.3309 | − | 20.8863i | −0.0419013 | − | 0.0298376i | ||||
\(701\) | −772.688 | + | 352.875i | −1.10227 | + | 0.503388i | −0.881617 | − | 0.471966i | \(-0.843545\pi\) |
−0.220648 | + | 0.975353i | \(0.570817\pi\) | |||||||
\(702\) | −166.410 | + | 75.9969i | −0.237051 | + | 0.108258i | ||||
\(703\) | 109.572 | − | 15.7541i | 0.155863 | − | 0.0224098i | ||||
\(704\) | −49.1855 | + | 76.5342i | −0.0698658 | + | 0.108713i | ||||
\(705\) | 117.769 | − | 97.2386i | 0.167048 | − | 0.137927i | ||||
\(706\) | −133.231 | + | 926.643i | −0.188713 | + | 1.31253i | ||||
\(707\) | −58.6818 | + | 67.7224i | −0.0830011 | + | 0.0957884i | ||||
\(708\) | 40.4423 | + | 62.9294i | 0.0571219 | + | 0.0888834i | ||||
\(709\) | 256.226 | − | 222.021i | 0.361391 | − | 0.313147i | −0.455172 | − | 0.890404i | \(-0.650422\pi\) |
0.816563 | + | 0.577257i | \(0.195877\pi\) | |||||||
\(710\) | −24.3511 | − | 203.663i | −0.0342973 | − | 0.286849i | ||||
\(711\) | −231.671 | − | 105.801i | −0.325838 | − | 0.148805i | ||||
\(712\) | 145.188 | 0.203915 | ||||||||
\(713\) | −191.169 | − | 748.143i | −0.268120 | − | 1.04929i | ||||
\(714\) | 84.9391 | 0.118962 | ||||||||
\(715\) | −5.97880 | + | 251.177i | −0.00836196 | + | 0.351297i | ||||
\(716\) | −568.391 | − | 166.895i | −0.793842 | − | 0.233093i | ||||
\(717\) | −461.817 | + | 400.167i | −0.644096 | + | 0.558113i | ||||
\(718\) | 517.168 | − | 332.364i | 0.720290 | − | 0.462902i | ||||
\(719\) | 39.2810 | − | 45.3326i | 0.0546328 | − | 0.0630496i | −0.727775 | − | 0.685816i | \(-0.759446\pi\) |
0.782408 | + | 0.622766i | \(0.213991\pi\) | |||||||
\(720\) | −12.2556 | − | 45.7383i | −0.0170217 | − | 0.0635254i | ||||
\(721\) | 74.4967 | − | 21.8742i | 0.103324 | − | 0.0303387i | ||||
\(722\) | 258.660 | − | 402.483i | 0.358255 | − | 0.557455i | ||||
\(723\) | 18.4194 | + | 128.110i | 0.0254764 | + | 0.177192i | ||||
\(724\) | 123.612 | − | 56.4518i | 0.170735 | − | 0.0779722i | ||||
\(725\) | −886.128 | − | 306.689i | −1.22225 | − | 0.423020i | ||||
\(726\) | 4.31416 | + | 30.0056i | 0.00594237 | + | 0.0413301i | ||||
\(727\) | 143.768 | + | 92.3942i | 0.197755 | + | 0.127090i | 0.635771 | − | 0.771878i | \(-0.280682\pi\) |
−0.438016 | + | 0.898967i | \(0.644319\pi\) | |||||||
\(728\) | −8.63584 | + | 2.53571i | −0.0118624 | + | 0.00348312i | ||||
\(729\) | 114.792 | − | 798.395i | 0.157465 | − | 1.09519i | ||||
\(730\) | −153.966 | + | 481.651i | −0.210913 | + | 0.659796i | ||||
\(731\) | 1620.61 | − | 1041.50i | 2.21697 | − | 1.42476i | ||||
\(732\) | −213.828 | − | 246.771i | −0.292115 | − | 0.337119i | ||||
\(733\) | 124.096 | + | 36.4379i | 0.169299 | + | 0.0497107i | 0.365284 | − | 0.930896i | \(-0.380972\pi\) |
−0.195984 | + | 0.980607i | \(0.562790\pi\) | |||||||
\(734\) | 212.146 | + | 96.8839i | 0.289027 | + | 0.131994i | ||||
\(735\) | 245.749 | + | 573.877i | 0.334353 | + | 0.780785i | ||||
\(736\) | 106.893 | + | 74.1742i | 0.145236 | + | 0.100780i | ||||
\(737\) | 1125.85i | 1.52761i | ||||||||
\(738\) | −185.652 | − | 84.7843i | −0.251561 | − | 0.114884i | ||||
\(739\) | 128.022 | + | 37.5907i | 0.173237 | + | 0.0508670i | 0.367201 | − | 0.930142i | \(-0.380316\pi\) |
−0.193964 | + | 0.981009i | \(0.562134\pi\) | |||||||
\(740\) | 209.001 | + | 101.526i | 0.282434 | + | 0.137197i | ||||
\(741\) | 29.3109 | + | 45.6086i | 0.0395558 | + | 0.0615500i | ||||
\(742\) | −53.2766 | − | 46.1645i | −0.0718014 | − | 0.0622163i | ||||
\(743\) | 21.3560 | − | 148.535i | 0.0287430 | − | 0.199912i | −0.970390 | − | 0.241543i | \(-0.922346\pi\) |
0.999133 | + | 0.0416314i | \(0.0132555\pi\) | |||||||
\(744\) | 234.646 | − | 68.8984i | 0.315385 | − | 0.0926054i | ||||
\(745\) | 92.2047 | − | 548.325i | 0.123765 | − | 0.736007i | ||||
\(746\) | −752.506 | + | 108.194i | −1.00872 | + | 0.145032i | ||||
\(747\) | 15.5956 | + | 34.1496i | 0.0208777 | + | 0.0457157i | ||||
\(748\) | 669.989 | − | 305.974i | 0.895708 | − | 0.409056i | ||||
\(749\) | −6.67609 | − | 46.4333i | −0.00891334 | − | 0.0619937i | ||||
\(750\) | −364.454 | + | 272.829i | −0.485939 | + | 0.363772i | ||||
\(751\) | −334.032 | − | 1137.61i | −0.444782 | − | 1.51479i | −0.811441 | − | 0.584434i | \(-0.801316\pi\) |
0.366659 | − | 0.930356i | \(-0.380502\pi\) | |||||||
\(752\) | 46.9592 | + | 6.75172i | 0.0624458 | + | 0.00897835i | ||||
\(753\) | 631.462 | − | 728.746i | 0.838595 | − | 0.967790i | ||||
\(754\) | −197.179 | + | 126.719i | −0.261510 | + | 0.168063i | ||||
\(755\) | 873.858 | + | 424.493i | 1.15743 | + | 0.562242i | ||||
\(756\) | 11.8794 | − | 40.4575i | 0.0157135 | − | 0.0535152i | ||||
\(757\) | 187.979 | − | 411.616i | 0.248321 | − | 0.543747i | −0.743892 | − | 0.668300i | \(-0.767022\pi\) |
0.992213 | + | 0.124553i | \(0.0397497\pi\) | |||||||
\(758\) | −168.782 | −0.222667 | ||||||||
\(759\) | 669.721 | − | 72.1870i | 0.882372 | − | 0.0951080i | ||||
\(760\) | −61.9359 | + | 26.5226i | −0.0814946 | + | 0.0348982i | ||||
\(761\) | 377.182 | − | 825.914i | 0.495640 | − | 1.08530i | −0.482222 | − | 0.876049i | \(-0.660170\pi\) |
0.977862 | − | 0.209252i | \(-0.0671028\pi\) | |||||||
\(762\) | 34.0079 | − | 115.820i | 0.0446297 | − | 0.151995i | ||||
\(763\) | 98.5299 | − | 85.3767i | 0.129135 | − | 0.111896i | ||||
\(764\) | −110.906 | − | 172.572i | −0.145164 | − | 0.225880i | ||||
\(765\) | −116.728 | + | 365.160i | −0.152586 | + | 0.477333i | ||||
\(766\) | 33.2643 | + | 4.78268i | 0.0434260 | + | 0.00624371i | ||||
\(767\) | 18.0798 | + | 61.5740i | 0.0235721 | + | 0.0802790i | ||||
\(768\) | −22.2774 | + | 34.6643i | −0.0290070 | + | 0.0451358i | ||||
\(769\) | −814.571 | + | 117.118i | −1.05926 | + | 0.152299i | −0.649858 | − | 0.760056i | \(-0.725172\pi\) |
−0.409402 | + | 0.912354i | \(0.634263\pi\) | |||||||
\(770\) | −42.8499 | − | 38.9531i | −0.0556493 | − | 0.0505884i | ||||
\(771\) | −151.246 | − | 331.183i | −0.196169 | − | 0.429550i | ||||
\(772\) | −337.825 | + | 48.5720i | −0.437598 | + | 0.0629170i | ||||
\(773\) | 937.958 | + | 602.789i | 1.21340 | + | 0.779805i | 0.981224 | − | 0.192869i | \(-0.0617793\pi\) |
0.232175 | + | 0.972674i | \(0.425416\pi\) | |||||||
\(774\) | −56.1146 | − | 191.109i | −0.0724994 | − | 0.246910i | ||||
\(775\) | 518.840 | + | 659.755i | 0.669470 | + | 0.851296i | ||||
\(776\) | −40.9706 | − | 35.5013i | −0.0527972 | − | 0.0457490i | ||||
\(777\) | 23.2981 | + | 36.2525i | 0.0299847 | + | 0.0466571i | ||||
\(778\) | −568.326 | − | 655.883i | −0.730496 | − | 0.843037i | ||||
\(779\) | −81.8160 | + | 278.640i | −0.105027 | + | 0.357689i | ||||
\(780\) | −2.70795 | + | 113.765i | −0.00347174 | + | 0.145852i | ||||
\(781\) | − | 329.873i | − | 0.422373i | ||||||
\(782\) | −403.368 | − | 973.067i | −0.515816 | − | 1.24433i | ||||
\(783\) | − | 1098.06i | − | 1.40238i | ||||||
\(784\) | −80.5596 | + | 176.401i | −0.102755 | + | 0.225001i | ||||
\(785\) | 588.822 | − | 70.4030i | 0.750091 | − | 0.0896854i | ||||
\(786\) | −284.039 | − | 327.799i | −0.361373 | − | 0.417047i | ||||
\(787\) | 711.982 | − | 457.563i | 0.904679 | − | 0.581402i | −0.00349557 | − | 0.999994i | \(-0.501113\pi\) |
0.908174 | + | 0.418592i | \(0.137476\pi\) | |||||||
\(788\) | 116.062 | + | 100.569i | 0.147287 | + | 0.127625i | ||||
\(789\) | 587.972 | + | 84.5377i | 0.745212 | + | 0.107145i | ||||
\(790\) | −586.551 | + | 484.299i | −0.742470 | + | 0.613036i | ||||
\(791\) | −97.2366 | − | 62.4901i | −0.122929 | − | 0.0790014i | ||||
\(792\) | −10.8378 | − | 75.3784i | −0.0136841 | − | 0.0951747i | ||||
\(793\) | −116.366 | − | 254.807i | −0.146742 | − | 0.321320i | ||||
\(794\) | 221.848 | + | 485.778i | 0.279405 | + | 0.611812i | ||||
\(795\) | −761.068 | + | 463.897i | −0.957319 | + | 0.583518i | ||||
\(796\) | 246.483 | − | 383.535i | 0.309652 | − | 0.481828i | ||||
\(797\) | 151.925 | − | 44.6092i | 0.190621 | − | 0.0559713i | −0.185029 | − | 0.982733i | \(-0.559238\pi\) |
0.375650 | + | 0.926762i | \(0.377420\pi\) | |||||||
\(798\) | −12.3686 | − | 1.77833i | −0.0154995 | − | 0.00222849i | ||||
\(799\) | −290.279 | − | 251.528i | −0.363303 | − | 0.314804i | ||||
\(800\) | −138.866 | − | 26.7638i | −0.173582 | − | 0.0334548i | ||||
\(801\) | −91.8480 | + | 79.5867i | −0.114667 | + | 0.0993592i | ||||
\(802\) | 955.734 | + | 280.629i | 1.19169 | + | 0.349911i | ||||
\(803\) | −337.828 | + | 739.739i | −0.420707 | + | 0.921219i | ||||
\(804\) | 509.927i | 0.634237i | ||||||||
\(805\) | −57.8434 | + | 59.2692i | −0.0718552 | + | 0.0736263i | ||||
\(806\) | 209.798 | 0.260295 | ||||||||
\(807\) | 505.336 | + | 230.779i | 0.626191 | + | 0.285972i | ||||
\(808\) | −99.1547 | + | 337.690i | −0.122716 | + | 0.417933i | ||||
\(809\) | 402.716 | + | 464.759i | 0.497794 | + | 0.574485i | 0.947932 | − | 0.318474i | \(-0.103170\pi\) |
−0.450137 | + | 0.892959i | \(0.648625\pi\) | |||||||
\(810\) | −316.724 | − | 214.364i | −0.391017 | − | 0.264647i | ||||
\(811\) | 398.133 | − | 459.470i | 0.490916 | − | 0.566548i | −0.455194 | − | 0.890392i | \(-0.650430\pi\) |
0.946110 | + | 0.323845i | \(0.104976\pi\) | |||||||
\(812\) | 7.68824 | − | 53.4729i | 0.00946828 | − | 0.0658533i | ||||
\(813\) | 132.596 | + | 451.582i | 0.163095 | + | 0.555451i | ||||
\(814\) | 314.364 | + | 202.030i | 0.386197 | + | 0.248194i | ||||
\(815\) | 1368.16 | − | 833.939i | 1.67872 | − | 1.02324i | ||||
\(816\) | 303.456 | − | 138.584i | 0.371882 | − | 0.169833i | ||||
\(817\) | −257.794 | + | 117.730i | −0.315537 | + | 0.144101i | ||||
\(818\) | −9.63015 | + | 1.38461i | −0.0117728 | + | 0.00169267i | ||||
\(819\) | 4.07317 | − | 6.33798i | 0.00497335 | − | 0.00773869i | ||||
\(820\) | −470.038 | + | 388.097i | −0.573217 | + | 0.473289i | ||||
\(821\) | 150.577 | − | 1047.29i | 0.183407 | − | 1.27562i | −0.665226 | − | 0.746642i | \(-0.731665\pi\) |
0.848633 | − | 0.528982i | \(-0.177426\pi\) | |||||||
\(822\) | 137.291 | − | 158.442i | 0.167021 | − | 0.192752i | ||||
\(823\) | −853.598 | − | 1328.22i | −1.03718 | − | 1.61388i | −0.756401 | − | 0.654108i | \(-0.773044\pi\) |
−0.280777 | − | 0.959773i | \(-0.590592\pi\) | |||||||
\(824\) | 230.460 | − | 199.695i | 0.279684 | − | 0.242348i | ||||
\(825\) | −634.080 | + | 366.088i | −0.768582 | + | 0.443744i | ||||
\(826\) | −13.4544 | − | 6.14443i | −0.0162886 | − | 0.00743877i | ||||
\(827\) | 1604.67 | 1.94035 | 0.970175 | − | 0.242407i | \(-0.0779371\pi\) | ||||
0.970175 | + | 0.242407i | \(0.0779371\pi\) | |||||||
\(828\) | −108.282 | + | 11.6714i | −0.130775 | + | 0.0140958i | ||||
\(829\) | 603.862 | 0.728422 | 0.364211 | − | 0.931316i | \(-0.381339\pi\) | ||||
0.364211 | + | 0.931316i | \(0.381339\pi\) | |||||||
\(830\) | 112.092 | + | 2.66815i | 0.135051 | + | 0.00321463i | ||||
\(831\) | 203.603 | + | 59.7832i | 0.245010 | + | 0.0719413i | ||||
\(832\) | −26.7154 | + | 23.1491i | −0.0321099 | + | 0.0278234i | ||||
\(833\) | 1320.80 | − | 848.824i | 1.58559 | − | 1.01900i | ||||
\(834\) | −18.4248 | + | 21.2633i | −0.0220921 | + | 0.0254956i | ||||
\(835\) | 948.820 | − | 254.237i | 1.13631 | − | 0.304475i | ||||
\(836\) | −103.968 | + | 30.5278i | −0.124364 | + | 0.0365165i | ||||
\(837\) | −531.379 | + | 826.842i | −0.634861 | + | 0.987864i | ||||
\(838\) | −26.2231 | − | 182.386i | −0.0312925 | − | 0.217644i | ||||
\(839\) | −63.6594 | + | 29.0723i | −0.0758754 | + | 0.0346511i | −0.452991 | − | 0.891515i | \(-0.649643\pi\) |
0.377116 | + | 0.926166i | \(0.376916\pi\) | |||||||
\(840\) | −19.4078 | − | 17.6429i | −0.0231046 | − | 0.0210034i | ||||
\(841\) | −80.5288 | − | 560.090i | −0.0957536 | − | 0.665981i | ||||
\(842\) | −791.996 | − | 508.985i | −0.940613 | − | 0.604495i | ||||
\(843\) | −330.608 | + | 97.0752i | −0.392180 | + | 0.115154i | ||||
\(844\) | −11.2099 | + | 77.9663i | −0.0132818 | + | 0.0923771i | ||||
\(845\) | 227.565 | − | 711.888i | 0.269307 | − | 0.842471i | ||||
\(846\) | −33.4082 | + | 21.4701i | −0.0394896 | + | 0.0253784i | ||||
\(847\) | −3.92525 | − | 4.52998i | −0.00463430 | − | 0.00534827i | ||||
\(848\) | −265.658 | − | 78.0042i | −0.313276 | − | 0.0919860i | ||||
\(849\) | 719.123 | + | 328.413i | 0.847024 | + | 0.386823i | ||||
\(850\) | 828.646 | + | 790.108i | 0.974877 | + | 0.929539i | ||||
\(851\) | 304.671 | − | 439.065i | 0.358015 | − | 0.515940i | ||||
\(852\) | − | 149.408i | − | 0.175362i | ||||||
\(853\) | 654.972 | + | 299.116i | 0.767845 | + | 0.350663i | 0.760524 | − | 0.649310i | \(-0.224942\pi\) |
0.00732114 | + | 0.999973i | \(0.497670\pi\) | |||||||
\(854\) | 61.9484 | + | 18.1897i | 0.0725391 | + | 0.0212994i | ||||
\(855\) | 24.6429 | − | 50.7297i | 0.0288221 | − | 0.0593329i | ||||
\(856\) | −99.6100 | − | 154.996i | −0.116367 | − | 0.181070i | ||||
\(857\) | 355.758 | + | 308.266i | 0.415120 | + | 0.359703i | 0.837239 | − | 0.546837i | \(-0.184168\pi\) |
−0.422119 | + | 0.906540i | \(0.638714\pi\) | |||||||
\(858\) | −26.0456 | + | 181.151i | −0.0303561 | + | 0.211132i | ||||
\(859\) | −419.400 | + | 123.147i | −0.488242 | + | 0.143361i | −0.516582 | − | 0.856237i | \(-0.672796\pi\) |
0.0283402 | + | 0.999598i | \(0.490978\pi\) | |||||||
\(860\) | −586.627 | − | 98.6453i | −0.682124 | − | 0.114704i | ||||
\(861\) | −111.899 | + | 16.0887i | −0.129964 | + | 0.0186861i | ||||
\(862\) | −270.843 | − | 593.064i | −0.314203 | − | 0.688009i | ||||
\(863\) | −147.803 | + | 67.4994i | −0.171267 | + | 0.0782148i | −0.499203 | − | 0.866485i | \(-0.666374\pi\) |
0.327937 | + | 0.944700i | \(0.393647\pi\) | |||||||
\(864\) | −23.5684 | − | 163.922i | −0.0272782 | − | 0.189724i | ||||
\(865\) | −72.2872 | + | 429.879i | −0.0835690 | + | 0.496970i | ||||
\(866\) | −216.366 | − | 736.876i | −0.249845 | − | 0.850896i | ||||
\(867\) | −1936.68 | − | 278.452i | −2.23377 | − | 0.321167i | ||||
\(868\) | −31.6660 | + | 36.5445i | −0.0364816 | + | 0.0421020i | ||||
\(869\) | −1029.12 | + | 661.373i | −1.18425 | + | 0.761074i | ||||
\(870\) | −614.385 | − | 298.449i | −0.706189 | − | 0.343044i | ||||
\(871\) | −123.246 | + | 419.738i | −0.141500 | + | 0.481904i | ||||
\(872\) | 212.713 | − | 465.777i | 0.243937 | − | 0.534148i | ||||
\(873\) | 45.3792 | 0.0519807 | ||||||||
\(874\) | 38.3646 | + | 150.140i | 0.0438955 | + | 0.171785i | ||||
\(875\) | 31.4580 | − | 84.3432i | 0.0359520 | − | 0.0963922i | ||||
\(876\) | −153.011 | + | 335.047i | −0.174670 | + | 0.382474i | ||||
\(877\) | −277.911 | + | 946.478i | −0.316888 | + | 1.07922i | 0.634932 | + | 0.772568i | \(0.281028\pi\) |
−0.951821 | + | 0.306655i | \(0.900790\pi\) | |||||||
\(878\) | −681.101 | + | 590.178i | −0.775742 | + | 0.672184i | ||||
\(879\) | 127.212 | + | 197.946i | 0.144724 | + | 0.225194i | ||||
\(880\) | −216.641 | − | 69.2524i | −0.246183 | − | 0.0786959i | ||||
\(881\) | −276.139 | − | 39.7029i | −0.313439 | − | 0.0450657i | −0.0161997 | − | 0.999869i | \(-0.505157\pi\) |
−0.297239 | + | 0.954803i | \(0.596066\pi\) | |||||||
\(882\) | −45.7334 | − | 155.754i | −0.0518519 | − | 0.176592i | ||||
\(883\) | −795.594 | + | 1237.97i | −0.901013 | + | 1.40200i | 0.0145791 | + | 0.999894i | \(0.495359\pi\) |
−0.915592 | + | 0.402109i | \(0.868277\pi\) | |||||||
\(884\) | 283.280 | − | 40.7294i | 0.320452 | − | 0.0460740i | ||||
\(885\) | −125.795 | + | 138.379i | −0.142141 | + | 0.156361i | ||||
\(886\) | −35.1173 | − | 76.8961i | −0.0396358 | − | 0.0867902i | ||||
\(887\) | −216.154 | + | 31.0783i | −0.243691 | + | 0.0350375i | −0.263078 | − | 0.964775i | \(-0.584738\pi\) |
0.0193869 | + | 0.999812i | \(0.493829\pi\) | |||||||
\(888\) | 142.384 | + | 91.5045i | 0.160342 | + | 0.103046i | ||||
\(889\) | 6.72437 | + | 22.9011i | 0.00756397 | + | 0.0257605i | ||||
\(890\) | 93.9439 | + | 350.602i | 0.105555 | + | 0.393934i | ||||
\(891\) | −464.839 | − | 402.785i | −0.521705 | − | 0.452060i | ||||
\(892\) | −82.8843 | − | 128.970i | −0.0929196 | − | 0.144586i | ||||
\(893\) | 37.0035 | + | 42.7043i | 0.0414373 | + | 0.0478212i | ||||
\(894\) | 114.107 | − | 388.612i | 0.127636 | − | 0.434689i | ||||
\(895\) | 35.2417 | − | 1480.55i | 0.0393762 | − | 1.65424i | ||||
\(896\) | − | 8.14757i | − | 0.00909327i | ||||||
\(897\) | 257.587 | + | 46.4013i | 0.287165 | + | 0.0517295i | ||||
\(898\) | 33.3318i | 0.0371178i | ||||||||
\(899\) | −523.115 | + | 1145.46i | −0.581886 | + | 1.27415i | ||||
\(900\) | 102.520 | − | 59.1900i | 0.113911 | − | 0.0657667i | ||||
\(901\) | 1467.92 | + | 1694.07i | 1.62922 | + | 1.88022i | ||||
\(902\) | −824.693 | + | 529.998i | −0.914293 | + | 0.587581i | ||||
\(903\) | −83.3784 | − | 72.2478i | −0.0923349 | − | 0.0800086i | ||||
\(904\) | −449.347 | − | 64.6063i | −0.497065 | − | 0.0714671i | ||||
\(905\) | 216.304 | + | 261.973i | 0.239010 | + | 0.289473i | ||||
\(906\) | 595.323 | + | 382.591i | 0.657089 | + | 0.422286i | ||||
\(907\) | −41.3498 | − | 287.594i | −0.0455896 | − | 0.317083i | −0.999837 | − | 0.0180638i | \(-0.994250\pi\) |
0.954247 | − | 0.299019i | \(-0.0966593\pi\) | |||||||
\(908\) | 180.785 | + | 395.864i | 0.199103 | + | 0.435974i | ||||
\(909\) | −122.383 | − | 267.981i | −0.134634 | − | 0.294808i | ||||
\(910\) | −11.7111 | − | 19.2132i | −0.0128693 | − | 0.0211134i | ||||
\(911\) | 234.510 | − | 364.905i | 0.257421 | − | 0.400554i | −0.688356 | − | 0.725373i | \(-0.741667\pi\) |
0.945776 | + | 0.324819i | \(0.105303\pi\) | |||||||
\(912\) | −47.0898 | + | 13.8268i | −0.0516336 | + | 0.0151610i | ||||
\(913\) | 178.488 | + | 25.6627i | 0.195496 | + | 0.0281081i | ||||
\(914\) | 251.671 | + | 218.074i | 0.275351 | + | 0.238593i | ||||
\(915\) | 457.548 | − | 676.029i | 0.500053 | − | 0.738829i | ||||
\(916\) | −78.4222 | + | 67.9532i | −0.0856138 | + | 0.0741848i | ||||
\(917\) | 82.2894 | + | 24.1623i | 0.0897376 | + | 0.0263493i | ||||
\(918\) | −556.974 | + | 1219.60i | −0.606726 | + | 1.32854i | ||||
\(919\) | − | 864.986i | − | 0.941226i | −0.882340 | − | 0.470613i | \(-0.844033\pi\) | ||
0.882340 | − | 0.470613i | \(-0.155967\pi\) | |||||||
\(920\) | −109.952 | + | 306.122i | −0.119513 | + | 0.332741i | ||||
\(921\) | −424.698 | −0.461127 | ||||||||
\(922\) | −367.320 | − | 167.750i | −0.398395 | − | 0.181941i | ||||
\(923\) | 36.1111 | − | 122.983i | 0.0391236 | − | 0.133243i | ||||
\(924\) | −27.6233 | − | 31.8790i | −0.0298954 | − | 0.0345011i | ||||
\(925\) | −109.932 | + | 570.391i | −0.118846 | + | 0.616639i | ||||
\(926\) | 399.619 | − | 461.185i | 0.431554 | − | 0.498040i | ||||
\(927\) | −36.3270 | + | 252.660i | −0.0391877 | + | 0.272556i | ||||
\(928\) | −59.7772 | − | 203.583i | −0.0644151 | − | 0.219378i | ||||
\(929\) | −612.783 | − | 393.812i | −0.659615 | − | 0.423909i | 0.167553 | − | 0.985863i | \(-0.446413\pi\) |
−0.827169 | + | 0.561954i | \(0.810050\pi\) | |||||||
\(930\) | 318.205 | + | 522.047i | 0.342156 | + | 0.561340i | ||||
\(931\) | −210.102 | + | 95.9504i | −0.225673 | + | 0.103062i | ||||
\(932\) | 293.988 | − | 134.260i | 0.315437 | − | 0.144055i | ||||
\(933\) | 1251.66 | − | 179.961i | 1.34154 | − | 0.192885i | ||||
\(934\) | −167.947 | + | 261.331i | −0.179815 | + | 0.279797i | ||||
\(935\) | 1172.39 | + | 1419.92i | 1.25389 | + | 1.51863i | ||||
\(936\) | 4.21111 | − | 29.2889i | 0.00449905 | − | 0.0312916i | ||||
\(937\) | −667.219 | + | 770.011i | −0.712080 | + | 0.821784i | −0.990331 | − | 0.138725i | \(-0.955700\pi\) |
0.278251 | + | 0.960508i | \(0.410245\pi\) | |||||||
\(938\) | −54.5116 | − | 84.8217i | −0.0581147 | − | 0.0904283i | ||||
\(939\) | 1000.62 | − | 867.041i | 1.06562 | − | 0.923366i | ||||
\(940\) | 14.0809 | + | 117.767i | 0.0149796 | + | 0.125284i | ||||
\(941\) | −928.459 | − | 424.013i | −0.986673 | − | 0.450599i | −0.144324 | − | 0.989531i | \(-0.546101\pi\) |
−0.842349 | + | 0.538932i | \(0.818828\pi\) | |||||||
\(942\) | 431.963 | 0.458560 | ||||||||
\(943\) | 715.713 | + | 1205.52i | 0.758975 | + | 1.27839i | ||||
\(944\) | −58.0926 | −0.0615388 | ||||||||
\(945\) | 105.384 | + | 2.50847i | 0.111517 | + | 0.00265446i | ||||
\(946\) | −917.935 | − | 269.530i | −0.970333 | − | 0.284916i | ||||
\(947\) | −1162.96 | + | 1007.71i | −1.22805 | + | 1.06411i | −0.232240 | + | 0.972658i | \(0.574606\pi\) |
−0.995809 | + | 0.0914526i | \(0.970849\pi\) | |||||||
\(948\) | −466.114 | + | 299.553i | −0.491681 | + | 0.315984i | ||||
\(949\) | −206.927 | + | 238.807i | −0.218048 | + | 0.251641i | ||||
\(950\) | −104.123 | − | 132.402i | −0.109603 | − | 0.139371i | ||||
\(951\) | −27.3233 | + | 8.02283i | −0.0287311 | + | 0.00843621i | ||||
\(952\) | −35.6624 | + | 55.4918i | −0.0374605 | + | 0.0582897i | ||||
\(953\) | 35.8844 | + | 249.582i | 0.0376542 | + | 0.261891i | 0.999949 | − | 0.0101187i | \(-0.00322094\pi\) |
−0.962295 | + | 0.272009i | \(0.912312\pi\) | |||||||
\(954\) | 210.818 | − | 96.2774i | 0.220983 | − | 0.100920i | ||||
\(955\) | 344.969 | − | 379.479i | 0.361224 | − | 0.397361i | ||||
\(956\) | −67.5362 | − | 469.724i | −0.0706445 | − | 0.491344i | ||||
\(957\) | −924.112 | − | 593.891i | −0.965635 | − | 0.620576i | ||||
\(958\) | 967.920 | − | 284.207i | 1.01036 | − | 0.296667i | ||||
\(959\) | −5.89951 | + | 41.0320i | −0.00615173 | + | 0.0427862i | ||||
\(960\) | −98.1225 | − | 31.3662i | −0.102211 | − | 0.0326731i | ||||
\(961\) | 139.777 | − | 89.8292i | 0.145449 | − | 0.0934747i | ||||
\(962\) | 95.0848 | + | 109.734i | 0.0988408 | + | 0.114068i | ||||
\(963\) | 147.978 | + | 43.4503i | 0.153664 | + | 0.0451197i | ||||
\(964\) | −91.4295 | − | 41.7545i | −0.0948439 | − | 0.0433138i | ||||
\(965\) | −335.882 | − | 784.357i | −0.348065 | − | 0.812805i | ||||
\(966\) | −46.9617 | + | 37.8652i | −0.0486146 | + | 0.0391980i | ||||
\(967\) | 1358.78i | 1.40515i | 0.711611 | + | 0.702573i | \(0.247966\pi\) | ||||
−0.711611 | + | 0.702573i | \(0.752034\pi\) | |||||||
\(968\) | −21.4144 | − | 9.77964i | −0.0221223 | − | 0.0101029i | ||||
\(969\) | 381.242 | + | 111.943i | 0.393439 | + | 0.115524i | ||||
\(970\) | 59.2188 | − | 121.908i | 0.0610504 | − | 0.125678i | ||||
\(971\) | −547.765 | − | 852.340i | −0.564125 | − | 0.877796i | 0.435626 | − | 0.900128i | \(-0.356527\pi\) |
−0.999751 | + | 0.0223323i | \(0.992891\pi\) | |||||||
\(972\) | 187.711 | + | 162.653i | 0.193118 | + | 0.167338i | ||||
\(973\) | 0.791728 | − | 5.50659i | 0.000813698 | − | 0.00565939i | ||||
\(974\) | −813.298 | + | 238.806i | −0.835008 | + | 0.245181i | ||||
\(975\) | −276.473 | + | 67.0723i | −0.283562 | + | 0.0687921i | ||||
\(976\) | 250.996 | − | 36.0878i | 0.257168 | − | 0.0369752i | ||||
\(977\) | −162.241 | − | 355.258i | −0.166060 | − | 0.363621i | 0.808247 | − | 0.588843i | \(-0.200416\pi\) |
−0.974307 | + | 0.225222i | \(0.927689\pi\) | |||||||
\(978\) | 1061.66 | − | 484.845i | 1.08554 | − | 0.495751i | ||||
\(979\) | 83.0756 | + | 577.804i | 0.0848577 | + | 0.590198i | ||||
\(980\) | −478.101 | − | 80.3961i | −0.487859 | − | 0.0820368i | ||||
\(981\) | 120.757 | + | 411.259i | 0.123095 | + | 0.419224i | ||||
\(982\) | 262.406 | + | 37.7283i | 0.267216 | + | 0.0384198i | ||||
\(983\) | −595.887 | + | 687.690i | −0.606192 | + | 0.699583i | −0.973024 | − | 0.230704i | \(-0.925897\pi\) |
0.366832 | + | 0.930287i | \(0.380443\pi\) | |||||||
\(984\) | −373.525 | + | 240.050i | −0.379598 | + | 0.243953i | ||||
\(985\) | −167.756 | + | 345.342i | −0.170311 | + | 0.350601i | ||||
\(986\) | −483.960 | + | 1648.22i | −0.490832 | + | 1.67162i | ||||
\(987\) | −9.13787 | + | 20.0092i | −0.00925823 | + | 0.0202727i | ||||
\(988\) | −42.1031 | −0.0426145 | ||||||||
\(989\) | −431.719 | + | 1298.29i | −0.436520 | + | 1.31273i | ||||
\(990\) | 175.012 | − | 74.9448i | 0.176780 | − | 0.0757019i | ||||
\(991\) | 74.3909 | − | 162.893i | 0.0750665 | − | 0.164373i | −0.868378 | − | 0.495902i | \(-0.834837\pi\) |
0.943445 | + | 0.331530i | \(0.107565\pi\) | |||||||
\(992\) | −53.5061 | + | 182.225i | −0.0539376 | + | 0.183695i | ||||
\(993\) | 12.1149 | − | 10.4976i | 0.0122003 | − | 0.0105716i | ||||
\(994\) | 15.9719 | + | 24.8527i | 0.0160683 | + | 0.0250027i | ||||
\(995\) | 1085.65 | + | 347.044i | 1.09111 | + | 0.348788i | ||||
\(996\) | 80.8418 | + | 11.6233i | 0.0811665 | + | 0.0116700i | ||||
\(997\) | 363.643 | + | 1238.46i | 0.364737 | + | 1.24218i | 0.913719 | + | 0.406347i | \(0.133198\pi\) |
−0.548981 | + | 0.835835i | \(0.684984\pi\) | |||||||
\(998\) | 561.506 | − | 873.720i | 0.562631 | − | 0.875471i | ||||
\(999\) | −673.308 | + | 96.8071i | −0.673982 | + | 0.0969040i |
(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 | 230.3.i.a.109.10 | yes | 240 | |
5.4 | even | 2 | inner | 230.3.i.a.109.15 | yes | 240 | |
23.19 | odd | 22 | inner | 230.3.i.a.19.15 | yes | 240 | |
115.19 | odd | 22 | inner | 230.3.i.a.19.10 | ✓ | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
230.3.i.a.19.10 | ✓ | 240 | 115.19 | odd | 22 | inner | |
230.3.i.a.19.15 | yes | 240 | 23.19 | odd | 22 | inner | |
230.3.i.a.109.10 | yes | 240 | 1.1 | even | 1 | trivial | |
230.3.i.a.109.15 | yes | 240 | 5.4 | even | 2 | inner |